#### Green Polynomials for E8 #### W-rep key: # x[1] = phi[1,120] , orbit = 0 , A-rep = [1] # x[2] = phi[8,91] , orbit = A1 , A-rep = [1] # x[3] = phi[35,74] , orbit = 2*A1 , A-rep = [1] # x[4] = phi[84,64] , orbit = 3*A1 , A-rep = [1] # x[5] = phi[112,63] , orbit = A2 , A-rep = [2] # x[6] = phi[28,68] , orbit = A2 , A-rep = [1, 1] # x[7] = phi[50,56] , orbit = 4*A1 , A-rep = [1] # x[8] = phi[210,52] , orbit = A2+A1 , A-rep = [2] # x[9] = phi[160,55] , orbit = A2+A1 , A-rep = [1, 1] # x[10] = phi[560,47] , orbit = A2+2*A1 , A-rep = [1] # x[11] = phi[567,46] , orbit = A3 , A-rep = [1] # x[12] = phi[400,43] , orbit = A2+3*A1 , A-rep = [1] # x[13] = phi[700,42] , orbit = 2*A2 , A-rep = [2] # x[14] = phi[300,44] , orbit = 2*A2 , A-rep = [1, 1] # x[15] = phi[448,39] , orbit = 2*A2+A1 , A-rep = [1] # x[16] = phi[1344,38] , orbit = A3+A1 , A-rep = [1] # x[17] = phi[1400,37] , orbit = D4(a1) , A-rep = [3] # x[18] = phi[1008,39] , orbit = D4(a1) , A-rep = [2, 1] # x[19] = phi[56,49] , orbit = D4(a1) , A-rep = [1, 1, 1] # x[20] = phi[525,36] , orbit = D4 , A-rep = [1] # x[21] = phi[175,36] , orbit = 2*A2+2*A1 , A-rep = [1] # x[22] = phi[1050,34] , orbit = A3+2*A1 , A-rep = [1] # x[23] = phi[1400,32] , orbit = D4(a1)+A1 , A-rep = [3] # x[24] = phi[1575,34] , orbit = D4(a1)+A1 , A-rep = [2, 1] # x[25] = phi[350,38] , orbit = D4(a1)+A1 , A-rep = [1, 1, 1] # x[26] = phi[3240,31] , orbit = A3+A2 , A-rep = [2] # x[27] = phi[972,32] , orbit = A3+A2 , A-rep = [1, 1] # x[28] = phi[2268,30] , orbit = A4 , A-rep = [2] # x[29] = phi[1296,33] , orbit = A4 , A-rep = [1, 1] # x[30] = phi[1400,29] , orbit = A3+A2+A1 , A-rep = [1] # x[31] = phi[700,28] , orbit = D4+A1 , A-rep = [1] # x[32] = phi[2240,28] , orbit = D4(a1)+A2 , A-rep = [2] # x[33] = phi[840,31] , orbit = D4(a1)+A2 , A-rep = [1, 1] # x[34] = phi[4096,26] , orbit = A4+A1 , A-rep = [2] # x[35] = phi[4096,27] , orbit = A4+A1 , A-rep = [1, 1] # x[36] = phi[840,26] , orbit = 2*A3 , A-rep = [1] # x[37] = phi[2800,25] , orbit = D5(a1) , A-rep = [2] # x[38] = phi[2100,28] , orbit = D5(a1) , A-rep = [1, 1] # x[39] = phi[4200,24] , orbit = A4+2*A1 , A-rep = [2] # x[40] = phi[3360,25] , orbit = A4+2*A1 , A-rep = [1, 1] # x[41] = phi[4536,23] , orbit = A4+A2 , A-rep = [1] # x[42] = phi[3200,22] , orbit = A5 , A-rep = [1] # x[43] = phi[6075,22] , orbit = D5(a1)+A1 , A-rep = [1] # x[44] = phi[2835,22] , orbit = A4+A2+A1 , A-rep = [1] # x[45] = phi[4200,21] , orbit = D4+A2 , A-rep = [2] # x[46] = phi[168,24] , orbit = D4+A2 , A-rep = [1, 1] # x[47] = phi[5600,21] , orbit = E6(a3) , A-rep = [2] # x[48] = phi[2400,23] , orbit = E6(a3) , A-rep = [1, 1] # x[49] = phi[2100,20] , orbit = D5 , A-rep = [1] # x[50] = phi[420,20] , orbit = A4+A3 , A-rep = [1] # x[51] = phi[2016,19] , orbit = A5+A1 , A-rep = [1] # x[52] = phi[1344,19] , orbit = D5(a1)+A2 , A-rep = [1] # x[53] = phi[4200,18] , orbit = D6(a2) , A-rep = [2] # x[54] = phi[2688,20] , orbit = D6(a2) , A-rep = [1, 1] # x[55] = phi[3150,18] , orbit = E6(a3)+A1 , A-rep = [2] # x[56] = phi[1134,20] , orbit = E6(a3)+A1 , A-rep = [1, 1] # x[57] = phi[7168,17] , orbit = E7(a5) , A-rep = [3] # x[58] = phi[5600,19] , orbit = E7(a5) , A-rep = [2, 1] # x[59] = phi[448,25] , orbit = E7(a5) , A-rep = [1, 1, 1] # x[60] = phi[3200,16] , orbit = D5+A1 , A-rep = [1] # x[61] = phi[4480,16] , orbit = E8(a7) , A-rep = [5] # x[62] = phi[5670,18] , orbit = E8(a7) , A-rep = [4, 1] # x[63] = phi[4536,18] , orbit = E8(a7) , A-rep = [3, 2] # x[64] = phi[1680,22] , orbit = E8(a7) , A-rep = [3, 1, 1] # x[65] = phi[1400,20] , orbit = E8(a7) , A-rep = [2, 2, 1] # x[66] = phi[70,32] , orbit = E8(a7) , A-rep = [2, 1, 1, 1] # x[67] = phi[4200,15] , orbit = A6 , A-rep = [1] # x[68] = phi[5600,15] , orbit = D6(a1) , A-rep = [2] # x[69] = phi[2400,17] , orbit = D6(a1) , A-rep = [1, 1] # x[70] = phi[2835,14] , orbit = A6+A1 , A-rep = [1] # x[71] = phi[6075,14] , orbit = E7(a4) , A-rep = [2] # x[72] = phi[700,16] , orbit = E7(a4) , A-rep = [1, 1] # x[73] = phi[2800,13] , orbit = E6(a1) , A-rep = [2] # x[74] = phi[2100,16] , orbit = E6(a1) , A-rep = [1, 1] # x[75] = phi[4536,13] , orbit = D5+A2 , A-rep = [2] # x[76] = phi[840,14] , orbit = D5+A2 , A-rep = [1, 1] # x[77] = phi[972,12] , orbit = D6 , A-rep = [1] # x[78] = phi[525,12] , orbit = E6 , A-rep = [1] # x[79] = phi[4200,12] , orbit = D7(a2) , A-rep = [2] # x[80] = phi[3360,13] , orbit = D7(a2) , A-rep = [1, 1] # x[81] = phi[1400,11] , orbit = A7 , A-rep = [1] # x[82] = phi[4096,11] , orbit = E6(a1)+A1 , A-rep = [2] # x[83] = phi[4096,12] , orbit = E6(a1)+A1 , A-rep = [1, 1] # x[84] = phi[2268,10] , orbit = E7(a3) , A-rep = [2] # x[85] = phi[1296,13] , orbit = E7(a3) , A-rep = [1, 1] # x[86] = phi[2240,10] , orbit = E8(b6) , A-rep = [3] # x[87] = phi[175,12] , orbit = E8(b6) , A-rep = [2, 1] # x[88] = phi[840,13] , orbit = E8(b6) , A-rep = [1, 1, 1] # x[89] = phi[3240,9] , orbit = D7(a1) , A-rep = [2] # x[90] = phi[1050,10] , orbit = D7(a1) , A-rep = [1, 1] # x[91] = phi[448,9] , orbit = E6+A1 , A-rep = [1] # x[92] = phi[1344,8] , orbit = E7(a2) , A-rep = [1] # x[93] = phi[1400,8] , orbit = E8(a6) , A-rep = [3] # x[94] = phi[1575,10] , orbit = E8(a6) , A-rep = [2, 1] # x[95] = phi[350,14] , orbit = E8(a6) , A-rep = [1, 1, 1] # x[96] = phi[400,7] , orbit = D7 , A-rep = [1] # x[97] = phi[1400,7] , orbit = E8(b5) , A-rep = [3] # x[98] = phi[1008,9] , orbit = E8(b5) , A-rep = [2, 1] # x[99] = phi[56,19] , orbit = E8(b5) , A-rep = [1, 1, 1] # x[100] = phi[567,6] , orbit = E7(a1) , A-rep = [1] # x[101] = phi[700,6] , orbit = E8(a5) , A-rep = [2] # x[102] = phi[300,8] , orbit = E8(a5) , A-rep = [1, 1] # x[103] = phi[560,5] , orbit = E8(b4) , A-rep = [2] # x[104] = phi[50,8] , orbit = E8(b4) , A-rep = [1, 1] # x[105] = phi[84,4] , orbit = E7 , A-rep = [1] # x[106] = phi[210,4] , orbit = E8(a4) , A-rep = [2] # x[107] = phi[160,7] , orbit = E8(a4) , A-rep = [1, 1] # x[108] = phi[112,3] , orbit = E8(a3) , A-rep = [2] # x[109] = phi[28,8] , orbit = E8(a3) , A-rep = [1, 1] # x[110] = phi[35,2] , orbit = E8(a2) , A-rep = [1] # x[111] = phi[8,1] , orbit = E8(a1) , A-rep = [1] # x[112] = phi[1,0] , orbit = E8 , A-rep = [1] ### Green Polynomials by Orbit orbit #1 : 0 dim = 0 A(O) = 1 , |A(O)_0| = 1 g_s = 248*V[0] Z_G(x)_0 = E8 # Green Polys by orbit reps #1.1 : x[1] : 0,[1] : phi[1,120] Qxi[E8,1,1] = (x[1])*q^120 + (x[2])*q^119 + (x[3])*q^118 + (x[5])*q^117 + (x[4]+x[8])*q^116 + (x[5]+x[10])*q^115 + (x[3]+x[4]+x[11]+x[13])*q^114 + (x[2]+x[5]+x[9]+x[10]+x[12]+x[17])*q^113 + (x[3]+x[4]+x[6]+x[7]+x[8]+x[11]+x[13]+x[14]+x[16]+x[23])*q^112 + (2*x[5]+x[9]+2*x[10]+x[12]+x[15]+x[17]+x[18]+x[26])*q^111 + (x[3]+2*x[4]+2*x[8]+2*x[11]+2*x[13]+2*x[16]+x[22]+x[24]+x[28]+x[32])*q^110 + (x[2]+2*x[5]+x[9]+4*x[10]+x[12]+x[15]+2*x[17]+2*x[18]+2*x[26]+x[30]+x[35])*q^109 + (2*x[3]+2*x[4]+x[6]+x[7]+2*x[8]+3*x[11]+3*x[13]+2*x[14]+3*x[16]+x[20]+x[21]+x[22]+2*x[23]+2*x[24]+x[27]+x[28]+x[32]+x[34]+x[39])*q^108 + (x[2]+3*x[5]+3*x[9]+4*x[10]+3*x[12]+x[15]+5*x[17]+2*x[18]+4*x[26]+x[29]+x[30]+x[33]+x[35]+x[37]+x[40]+x[41])*q^107 + (2*x[3]+2*x[4]+x[6]+x[7]+3*x[8]+5*x[11]+5*x[13]+2*x[14]+5*x[16]+x[20]+3*x[22]+3*x[23]+2*x[24]+x[25]+x[27]+3*x[28]+2*x[32]+3*x[34]+x[36]+x[39]+x[43]+x[44])*q^106 + (4*x[5]+2*x[9]+7*x[10]+3*x[12]+3*x[15]+6*x[17]+5*x[18]+7*x[26]+2*x[29]+2*x[30]+x[33]+3*x[35]+x[37]+2*x[40]+2*x[41]+x[45]+x[47])*q^105 + (x[3]+4*x[4]+x[7]+5*x[8]+7*x[11]+6*x[13]+2*x[14]+8*x[16]+x[20]+x[21]+3*x[22]+4*x[23]+6*x[24]+3*x[27]+4*x[28]+x[31]+5*x[32]+4*x[34]+2*x[38]+4*x[39]+x[42]+2*x[43]+x[44]+x[61])*q^104 + (x[2]+4*x[5]+3*x[9]+10*x[10]+4*x[12]+3*x[15]+9*x[17]+7*x[18]+11*x[26]+3*x[29]+4*x[30]+x[33]+7*x[35]+2*x[37]+3*x[40]+4*x[41]+2*x[45]+2*x[47]+x[48]+x[57])*q^103 + (3*x[3]+3*x[4]+2*x[6]+x[7]+4*x[8]+9*x[11]+10*x[13]+4*x[14]+11*x[16]+3*x[20]+x[21]+6*x[22]+7*x[23]+7*x[24]+2*x[25]+3*x[27]+8*x[28]+x[31]+6*x[32]+8*x[34]+2*x[36]+2*x[38]+6*x[39]+2*x[42]+5*x[43]+3*x[44]+x[53]+x[55]+x[62]+x[63])*q^102 + (x[2]+5*x[5]+6*x[9]+10*x[10]+7*x[12]+4*x[15]+15*x[17]+8*x[18]+x[19]+17*x[26]+5*x[29]+5*x[30]+4*x[33]+9*x[35]+6*x[37]+7*x[40]+7*x[41]+3*x[45]+4*x[47]+x[48]+x[51]+x[52]+2*x[57]+2*x[58])*q^101 + (2*x[3]+4*x[4]+2*x[6]+2*x[7]+7*x[8]+11*x[11]+11*x[13]+6*x[14]+15*x[16]+4*x[20]+x[21]+8*x[22]+12*x[23]+10*x[24]+3*x[25]+6*x[27]+11*x[28]+2*x[31]+10*x[32]+14*x[34]+2*x[36]+4*x[38]+10*x[39]+3*x[42]+8*x[43]+4*x[44]+x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+2*x[61]+2*x[62]+2*x[63]+x[65])*q^100 + (6*x[5]+4*x[9]+15*x[10]+7*x[12]+7*x[15]+17*x[17]+14*x[18]+x[19]+24*x[26]+7*x[29]+8*x[30]+4*x[33]+17*x[35]+7*x[37]+10*x[40]+11*x[41]+7*x[45]+8*x[47]+3*x[48]+2*x[51]+x[52]+4*x[57]+3*x[58]+x[67]+x[68])*q^99 + (2*x[3]+5*x[4]+x[7]+8*x[8]+15*x[11]+15*x[13]+4*x[14]+21*x[16]+4*x[20]+2*x[21]+11*x[22]+11*x[23]+17*x[24]+2*x[25]+7*x[27]+17*x[28]+3*x[31]+16*x[32]+18*x[34]+3*x[36]+8*x[38]+16*x[39]+7*x[42]+15*x[43]+8*x[44]+x[49]+4*x[53]+x[54]+2*x[55]+x[60]+4*x[61]+5*x[62]+3*x[63]+x[64]+x[70]+x[71])*q^98 + (x[2]+6*x[5]+6*x[9]+18*x[10]+9*x[12]+7*x[15]+23*x[17]+17*x[18]+33*x[26]+11*x[29]+12*x[30]+5*x[33]+25*x[35]+11*x[37]+14*x[40]+18*x[41]+11*x[45]+13*x[47]+6*x[48]+2*x[51]+x[52]+9*x[57]+5*x[58]+2*x[67]+2*x[68]+x[69]+x[75])*q^97 + (3*x[3]+4*x[4]+3*x[6]+3*x[7]+8*x[8]+17*x[11]+18*x[13]+10*x[14]+25*x[16]+8*x[20]+3*x[21]+14*x[22]+21*x[23]+20*x[24]+5*x[25]+11*x[27]+22*x[28]+4*x[31]+19*x[32]+29*x[34]+5*x[36]+10*x[38]+24*x[39]+10*x[42]+22*x[43]+11*x[44]+x[46]+3*x[49]+x[50]+6*x[53]+5*x[54]+6*x[55]+2*x[56]+2*x[60]+7*x[61]+8*x[62]+6*x[63]+2*x[64]+3*x[65]+x[70]+2*x[71]+x[79])*q^96 + (7*x[5]+9*x[9]+18*x[10]+13*x[12]+9*x[15]+32*x[17]+19*x[18]+2*x[19]+44*x[26]+15*x[29]+14*x[30]+11*x[33]+31*x[35]+20*x[37]+24*x[40]+26*x[41]+15*x[45]+20*x[47]+7*x[48]+5*x[51]+4*x[52]+14*x[57]+12*x[58]+x[59]+3*x[67]+4*x[68]+x[69]+x[73]+2*x[75]+x[80])*q^95 + (2*x[3]+5*x[4]+x[6]+2*x[7]+10*x[8]+21*x[11]+22*x[13]+9*x[14]+31*x[16]+9*x[20]+2*x[21]+20*x[22]+24*x[23]+25*x[24]+7*x[25]+13*x[27]+31*x[28]+5*x[31]+27*x[32]+41*x[34]+8*x[36]+14*x[38]+31*x[39]+14*x[42]+34*x[43]+17*x[44]+5*x[49]+x[50]+12*x[53]+7*x[54]+8*x[55]+3*x[56]+3*x[60]+11*x[61]+12*x[62]+12*x[63]+4*x[64]+3*x[65]+3*x[70]+5*x[71]+x[76]+x[79]+x[83])*q^94 + (7*x[5]+6*x[9]+25*x[10]+12*x[12]+13*x[15]+34*x[17]+28*x[18]+x[19]+56*x[26]+19*x[29]+20*x[30]+10*x[33]+47*x[35]+23*x[37]+30*x[40]+36*x[41]+25*x[45]+31*x[47]+13*x[48]+7*x[51]+4*x[52]+22*x[57]+16*x[58]+x[59]+7*x[67]+8*x[68]+3*x[69]+x[73]+4*x[75]+2*x[80]+x[82])*q^93 + (2*x[3]+6*x[4]+x[6]+2*x[7]+12*x[8]+23*x[11]+24*x[13]+9*x[14]+40*x[16]+10*x[20]+5*x[21]+21*x[22]+28*x[23]+37*x[24]+5*x[25]+18*x[27]+38*x[28]+9*x[31]+37*x[32]+49*x[34]+7*x[36]+24*x[38]+47*x[39]+23*x[42]+46*x[43]+22*x[44]+x[46]+7*x[49]+2*x[50]+16*x[53]+10*x[54]+12*x[55]+3*x[56]+7*x[60]+19*x[61]+23*x[62]+15*x[63]+5*x[64]+4*x[65]+4*x[70]+8*x[71]+x[72]+2*x[74]+4*x[79]+x[83]+x[86])*q^92 + (x[2]+7*x[5]+9*x[9]+26*x[10]+15*x[12]+13*x[15]+43*x[17]+31*x[18]+x[19]+70*x[26]+25*x[29]+26*x[30]+13*x[33]+61*x[35]+32*x[37]+39*x[40]+49*x[41]+34*x[45]+43*x[47]+19*x[48]+9*x[51]+6*x[52]+35*x[57]+24*x[58]+x[59]+11*x[67]+13*x[68]+6*x[69]+2*x[73]+7*x[75]+3*x[80]+x[81]+3*x[82])*q^91 + 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(x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #1.1 : c = () |O_x_c^F| = 1 Qxc[E8,1,1] = (x[1])*q^120 + (x[2])*q^119 + (x[3])*q^118 + (x[5])*q^117 + (x[4]+x[8])*q^116 + (x[5]+x[10])*q^115 + (x[3]+x[4]+x[11]+x[13])*q^114 + (x[2]+x[5]+x[9]+x[10]+x[12]+x[17])*q^113 + (x[3]+x[4]+x[6]+x[7]+x[8]+x[11]+x[13]+x[14]+x[16]+x[23])*q^112 + (2*x[5]+x[9]+2*x[10]+x[12]+x[15]+x[17]+x[18]+x[26])*q^111 + (x[3]+2*x[4]+2*x[8]+2*x[11]+2*x[13]+2*x[16]+x[22]+x[24]+x[28]+x[32])*q^110 + (x[2]+2*x[5]+x[9]+4*x[10]+x[12]+x[15]+2*x[17]+2*x[18]+2*x[26]+x[30]+x[35])*q^109 + (2*x[3]+2*x[4]+x[6]+x[7]+2*x[8]+3*x[11]+3*x[13]+2*x[14]+3*x[16]+x[20]+x[21]+x[22]+2*x[23]+2*x[24]+x[27]+x[28]+x[32]+x[34]+x[39])*q^108 + 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(x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #2 : A1 dim = 58 A(O) = 1 , |A(O)_0| = 1 g_s = 56*V[1]+V[2]+133*V[0] Z_G(x)_0 = E7 # Green Polys by orbit reps #2.1 : x[2] : A1,[1] : phi[8,91] Qxi[E8,2,1] = (x[2])*q^91 + (x[3]+x[6])*q^90 + (x[5]+x[9])*q^89 + (x[4]+x[8]+x[11])*q^88 + (x[5]+2*x[10]+x[18])*q^87 + (x[3]+x[4]+x[8]+2*x[11]+x[13]+x[16]+x[24])*q^86 + (2*x[5]+2*x[9]+2*x[10]+x[12]+2*x[17]+x[18]+x[26]+x[29])*q^85 + (x[3]+x[4]+x[6]+x[7]+2*x[8]+3*x[11]+2*x[13]+2*x[14]+2*x[16]+x[20]+x[22]+2*x[23]+x[24]+x[25]+x[28]+x[34])*q^84 + (2*x[5]+2*x[9]+4*x[10]+2*x[12]+x[15]+4*x[17]+3*x[18]+x[19]+3*x[26]+x[29]+x[33]+x[35]+x[37]+x[40])*q^83 + 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(x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #2.1 : c = () |O_x_c^F| = (q^2-q+1)*(q^2+q+1)*(1-q+q^3-q^4+q^5-q^7+q^8)*(1+q-q^3-q^4-q^5+q^7+q^8)*(q^6+1)*(q^12+1)*(q^20-1) Qxc[E8,2,1] = (x[2])*q^91 + (x[3]+x[6])*q^90 + (x[5]+x[9])*q^89 + (x[4]+x[8]+x[11])*q^88 + (x[5]+2*x[10]+x[18])*q^87 + (x[3]+x[4]+x[8]+2*x[11]+x[13]+x[16]+x[24])*q^86 + (2*x[5]+2*x[9]+2*x[10]+x[12]+2*x[17]+x[18]+x[26]+x[29])*q^85 + (x[3]+x[4]+x[6]+x[7]+2*x[8]+3*x[11]+2*x[13]+2*x[14]+2*x[16]+x[20]+x[22]+2*x[23]+x[24]+x[25]+x[28]+x[34])*q^84 + (2*x[5]+2*x[9]+4*x[10]+2*x[12]+x[15]+4*x[17]+3*x[18]+x[19]+3*x[26]+x[29]+x[33]+x[35]+x[37]+x[40])*q^83 + 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(x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #3 : 2*A1 dim = 92 A(O) = 1 , |A(O)_0| = 1 g_s = 14*V[2]+64*V[1]+78*V[0] Z_G(x)_0 = B6 # Green Polys by orbit reps #3.1 : x[3] : 2*A1,[1] : phi[35,74] Qxi[E8,3,1] = (x[3])*q^74 + (x[5]+x[9])*q^73 + (x[4]+x[8]+x[11]+x[14])*q^72 + (x[5]+2*x[10]+x[17]+x[18])*q^71 + (x[4]+x[8]+2*x[11]+2*x[13]+2*x[16]+x[24]+x[28])*q^70 + (x[5]+x[9]+3*x[10]+x[12]+x[15]+3*x[17]+2*x[18]+2*x[26]+x[29]+x[35])*q^69 + (x[4]+x[6]+x[7]+2*x[8]+3*x[11]+3*x[13]+2*x[14]+4*x[16]+x[20]+x[22]+3*x[23]+2*x[24]+x[25]+x[27]+2*x[28]+x[32]+2*x[34]+x[38]+x[39])*q^68 + (x[5]+2*x[9]+4*x[10]+3*x[12]+2*x[15]+6*x[17]+4*x[18]+x[19]+6*x[26]+2*x[29]+x[30]+2*x[33]+3*x[35]+2*x[37]+2*x[40]+x[41]+x[47])*q^67 + 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(x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #3.1 : c = () |O_x_c^F| = q^6*(q^4-q^2+1)*(q^2+q+1)*(q^2-q+1)*(1-q+q^2-q^3+q^4-q^5+q^6)*(q^6+q^5+q^4+q^3+q^2+q+1)*(1-q+q^3-q^4+q^5-q^7+q^8)*(1+q-q^3-q^4-q^5+q^7+q^8)*(q^12+1)*(q^18-1)*(q^20-1) Qxc[E8,3,1] = (x[3])*q^74 + (x[5]+x[9])*q^73 + (x[4]+x[8]+x[11]+x[14])*q^72 + (x[5]+2*x[10]+x[17]+x[18])*q^71 + (x[4]+x[8]+2*x[11]+2*x[13]+2*x[16]+x[24]+x[28])*q^70 + (x[5]+x[9]+3*x[10]+x[12]+x[15]+3*x[17]+2*x[18]+2*x[26]+x[29]+x[35])*q^69 + (x[4]+x[6]+x[7]+2*x[8]+3*x[11]+3*x[13]+2*x[14]+4*x[16]+x[20]+x[22]+3*x[23]+2*x[24]+x[25]+x[27]+2*x[28]+x[32]+2*x[34]+x[38]+x[39])*q^68 + 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(x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #4 : 3*A1 dim = 112 A(O) = 1 , |A(O)_0| = 1 g_s = 2*V[3]+27*V[2]+52*V[1]+55*V[0] Z_G(x)_0 = A1+F4 # Green Polys by orbit reps #4.1 : x[4] : 3*A1,[1] : phi[84,64] Qxi[E8,4,1] = (x[4])*q^64 + (x[5]+x[10])*q^63 + (x[8]+x[11]+x[13]+x[16])*q^62 + (x[10]+x[12]+x[15]+2*x[17]+x[18]+x[26])*q^61 + (x[7]+x[11]+2*x[13]+x[14]+2*x[16]+x[20]+x[22]+2*x[23]+x[24]+x[27]+x[28]+x[32]+x[34])*q^60 + (x[9]+2*x[10]+2*x[12]+x[15]+3*x[17]+x[18]+4*x[26]+x[29]+x[30]+x[33]+2*x[35]+x[37]+x[40]+x[41])*q^59 + (x[8]+2*x[11]+3*x[13]+x[14]+4*x[16]+x[20]+x[21]+3*x[22]+2*x[23]+3*x[24]+x[25]+x[27]+3*x[28]+3*x[32]+3*x[34]+x[36]+x[38]+3*x[39]+x[42]+2*x[43]+x[44])*q^58 + 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(x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+8*x[92]+4*x[93]+6*x[94]+7*x[100]+6*x[101]+2*x[102]+x[104]+4*x[105]+5*x[106]+x[110])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+5*x[98]+7*x[103]+2*x[107]+4*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+5*x[100]+5*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+x[109]+2*x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+3*x[107]+3*x[108]+x[111])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #4.1 : c = () |O_x_c^F| = q^14*(1-q+q^2-q^3+q^4-q^5+q^6)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^6+1)*(q^12+1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,4,1] = (x[4])*q^64 + (x[5]+x[10])*q^63 + (x[8]+x[11]+x[13]+x[16])*q^62 + (x[10]+x[12]+x[15]+2*x[17]+x[18]+x[26])*q^61 + (x[7]+x[11]+2*x[13]+x[14]+2*x[16]+x[20]+x[22]+2*x[23]+x[24]+x[27]+x[28]+x[32]+x[34])*q^60 + (x[9]+2*x[10]+2*x[12]+x[15]+3*x[17]+x[18]+4*x[26]+x[29]+x[30]+x[33]+2*x[35]+x[37]+x[40]+x[41])*q^59 + (x[8]+2*x[11]+3*x[13]+x[14]+4*x[16]+x[20]+x[21]+3*x[22]+2*x[23]+3*x[24]+x[25]+x[27]+3*x[28]+3*x[32]+3*x[34]+x[36]+x[38]+3*x[39]+x[42]+2*x[43]+x[44])*q^58 + 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(x[31]+x[32]+x[34]+2*x[38]+4*x[39]+7*x[42]+8*x[43]+4*x[44]+x[46]+7*x[49]+2*x[50]+16*x[53]+10*x[54]+12*x[55]+3*x[56]+23*x[60]+19*x[61]+23*x[62]+15*x[63]+5*x[64]+4*x[65]+22*x[70]+45*x[71]+9*x[72]+23*x[74]+7*x[76]+17*x[77]+9*x[78]+46*x[79]+47*x[83]+35*x[84]+35*x[86]+5*x[87]+19*x[90]+34*x[92]+26*x[93]+32*x[94]+4*x[95]+16*x[100]+19*x[101]+8*x[102]+2*x[104]+2*x[105]+8*x[106]+x[109])*q^28 + (x[35]+x[37]+2*x[40]+4*x[41]+7*x[45]+8*x[47]+3*x[48]+7*x[51]+4*x[52]+22*x[57]+16*x[58]+x[59]+25*x[67]+31*x[68]+13*x[69]+22*x[73]+36*x[75]+29*x[80]+20*x[81]+46*x[82]+18*x[85]+9*x[88]+53*x[89]+12*x[91]+10*x[96]+30*x[97]+24*x[98]+19*x[103]+4*x[107]+4*x[108])*q^27 + (x[34]+x[36]+x[39]+3*x[42]+5*x[43]+3*x[44]+5*x[49]+x[50]+12*x[53]+7*x[54]+8*x[55]+3*x[56]+14*x[60]+11*x[61]+12*x[62]+12*x[63]+4*x[64]+3*x[65]+17*x[70]+34*x[71]+5*x[72]+14*x[74]+8*x[76]+13*x[77]+8*x[78]+31*x[79]+40*x[83]+30*x[84]+27*x[86]+2*x[87]+19*x[90]+29*x[92]+22*x[93]+24*x[94]+6*x[95]+17*x[100]+20*x[101]+7*x[102]+x[104]+3*x[105]+7*x[106]+x[110])*q^26 + (x[37]+x[40]+2*x[41]+3*x[45]+4*x[47]+x[48]+5*x[51]+4*x[52]+14*x[57]+12*x[58]+x[59]+15*x[67]+20*x[68]+7*x[69]+20*x[73]+26*x[75]+24*x[80]+14*x[81]+31*x[82]+14*x[85]+11*x[88]+43*x[89]+9*x[91]+12*x[96]+30*x[97]+18*x[98]+2*x[99]+16*x[103]+6*x[107]+4*x[108])*q^25 + (x[39]+2*x[42]+2*x[43]+x[44]+x[46]+3*x[49]+x[50]+6*x[53]+5*x[54]+6*x[55]+2*x[56]+10*x[60]+7*x[61]+8*x[62]+6*x[63]+2*x[64]+3*x[65]+11*x[70]+22*x[71]+4*x[72]+10*x[74]+5*x[76]+11*x[77]+8*x[78]+24*x[79]+29*x[83]+22*x[84]+19*x[86]+3*x[87]+14*x[90]+24*x[92]+21*x[93]+19*x[94]+5*x[95]+15*x[100]+17*x[101]+10*x[102]+3*x[104]+3*x[105]+7*x[106]+2*x[109]+x[110])*q^24 + 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(x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+8*x[71]+2*x[72]+4*x[74]+2*x[76]+6*x[77]+4*x[78]+10*x[79]+14*x[83]+11*x[84]+10*x[86]+x[87]+8*x[90]+15*x[92]+12*x[93]+10*x[94]+3*x[95]+11*x[100]+11*x[101]+6*x[102]+2*x[104]+4*x[105]+7*x[106]+x[109]+x[110])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+6*x[73]+7*x[75]+7*x[80]+5*x[81]+9*x[82]+5*x[85]+4*x[88]+17*x[89]+4*x[91]+7*x[96]+15*x[97]+8*x[98]+x[99]+10*x[103]+6*x[107]+5*x[108])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+3*x[78]+6*x[79]+8*x[83]+8*x[84]+6*x[86]+x[87]+6*x[90]+11*x[92]+7*x[93]+7*x[94]+2*x[95]+9*x[100]+10*x[101]+4*x[102]+x[104]+3*x[105]+4*x[106]+2*x[109]+3*x[110])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+3*x[85]+x[88]+11*x[89]+3*x[91]+4*x[96]+9*x[97]+7*x[98]+10*x[103]+3*x[107]+4*x[108]+x[111])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+8*x[92]+4*x[93]+6*x[94]+7*x[100]+6*x[101]+2*x[102]+x[104]+4*x[105]+5*x[106]+x[110])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+5*x[98]+7*x[103]+2*x[107]+4*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+5*x[100]+5*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+x[109]+2*x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+3*x[107]+3*x[108]+x[111])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #5.2 : x[6] : A2,[1, 1] : phi[28,68] Qxi[E8,5,2] = (x[6])*q^63 + (x[9]+x[19])*q^62 + (x[11]+x[25])*q^61 + (x[10]+x[18]+x[29])*q^60 + (x[8]+x[11]+x[16]+2*x[24]+x[38])*q^59 + (x[9]+x[10]+x[17]+2*x[18]+x[26]+2*x[29]+x[35]+x[48])*q^58 + (2*x[11]+x[13]+x[14]+x[16]+x[20]+x[22]+x[23]+2*x[24]+2*x[25]+2*x[28]+2*x[34]+x[38]+x[43]+x[64])*q^57 + (x[9]+x[10]+x[12]+3*x[17]+2*x[18]+x[19]+3*x[26]+3*x[29]+2*x[33]+2*x[35]+3*x[37]+2*x[40]+x[47]+x[48]+x[58]+x[59])*q^56 + (x[8]+2*x[11]+x[13]+x[14]+3*x[16]+x[20]+x[22]+3*x[23]+4*x[24]+2*x[25]+x[27]+3*x[28]+x[32]+5*x[34]+3*x[38]+2*x[39]+3*x[43]+x[49]+x[54]+x[56]+x[62]+x[63]+x[64]+x[65]+x[66])*q^55 + (2*x[10]+x[15]+3*x[17]+5*x[18]+6*x[26]+5*x[29]+x[30]+x[33]+7*x[35]+3*x[37]+3*x[40]+2*x[41]+2*x[45]+4*x[47]+4*x[48]+x[57]+2*x[58]+x[59]+x[68]+x[69])*q^54 + (2*x[11]+2*x[13]+5*x[16]+x[20]+2*x[22]+2*x[23]+7*x[24]+x[25]+x[27]+7*x[28]+x[31]+4*x[32]+7*x[34]+7*x[38]+5*x[39]+3*x[42]+8*x[43]+2*x[44]+x[49]+x[53]+x[60]+x[61]+5*x[62]+2*x[63]+3*x[64]+x[71]+x[74])*q^53 + (x[9]+x[10]+x[12]+x[15]+5*x[17]+4*x[18]+x[19]+10*x[26]+6*x[29]+2*x[30]+2*x[33]+12*x[35]+7*x[37]+6*x[40]+5*x[41]+5*x[45]+9*x[47]+7*x[48]+5*x[57]+5*x[58]+x[59]+x[67]+3*x[68]+3*x[69]+x[82])*q^52 + (2*x[11]+2*x[13]+3*x[14]+4*x[16]+3*x[20]+3*x[22]+7*x[23]+6*x[24]+4*x[25]+3*x[27]+8*x[28]+x[31]+5*x[32]+15*x[34]+x[36]+8*x[38]+10*x[39]+5*x[42]+14*x[43]+3*x[44]+4*x[49]+3*x[53]+4*x[54]+3*x[55]+3*x[56]+2*x[60]+4*x[61]+8*x[62]+7*x[63]+5*x[64]+4*x[65]+x[66]+3*x[71]+2*x[74]+x[79]+x[83])*q^51 + (x[10]+x[12]+x[15]+7*x[17]+4*x[18]+x[19]+12*x[26]+8*x[29]+3*x[30]+6*x[33]+14*x[35]+13*x[37]+13*x[40]+11*x[41]+8*x[45]+16*x[47]+8*x[48]+2*x[51]+2*x[52]+10*x[57]+14*x[58]+4*x[59]+2*x[67]+7*x[68]+4*x[69]+3*x[73]+2*x[75]+2*x[80]+x[82]+x[85]+x[88])*q^50 + (x[11]+2*x[13]+6*x[16]+2*x[20]+4*x[22]+5*x[23]+8*x[24]+2*x[25]+3*x[27]+12*x[28]+2*x[31]+8*x[32]+19*x[34]+3*x[36]+11*x[38]+14*x[39]+9*x[42]+23*x[43]+8*x[44]+7*x[49]+8*x[53]+6*x[54]+5*x[55]+4*x[56]+4*x[60]+8*x[61]+15*x[62]+14*x[63]+8*x[64]+4*x[65]+x[66]+2*x[70]+9*x[71]+3*x[74]+x[76]+2*x[79]+4*x[83]+x[84]+x[95])*q^49 + (x[10]+2*x[15]+4*x[17]+5*x[18]+15*x[26]+8*x[29]+5*x[30]+2*x[33]+23*x[35]+12*x[37]+13*x[40]+17*x[41]+16*x[45]+25*x[47]+15*x[48]+3*x[51]+x[52]+20*x[57]+18*x[58]+2*x[59]+8*x[67]+15*x[68]+9*x[69]+4*x[73]+5*x[75]+4*x[80]+5*x[82]+2*x[85]+x[88]+x[89])*q^48 + (x[11]+x[13]+x[14]+5*x[16]+2*x[20]+x[21]+3*x[22]+5*x[23]+9*x[24]+2*x[25]+5*x[27]+11*x[28]+3*x[31]+11*x[32]+20*x[34]+2*x[36]+16*x[38]+22*x[39]+16*x[42]+30*x[43]+10*x[44]+9*x[49]+12*x[53]+9*x[54]+9*x[55]+3*x[56]+10*x[60]+18*x[61]+27*x[62]+16*x[63]+11*x[64]+6*x[65]+4*x[70]+16*x[71]+x[72]+9*x[74]+x[77]+8*x[79]+6*x[83]+2*x[84]+2*x[86]+2*x[94])*q^47 + (x[12]+x[15]+5*x[17]+3*x[18]+x[19]+14*x[26]+8*x[29]+6*x[30]+6*x[33]+23*x[35]+17*x[37]+18*x[40]+22*x[41]+20*x[45]+32*x[47]+16*x[48]+6*x[51]+4*x[52]+32*x[57]+28*x[58]+4*x[59]+14*x[67]+23*x[68]+14*x[69]+8*x[73]+11*x[75]+7*x[80]+x[81]+11*x[82]+4*x[85]+x[88]+3*x[89]+x[98])*q^46 + (x[13]+x[14]+3*x[16]+3*x[20]+5*x[22]+6*x[23]+5*x[24]+3*x[25]+4*x[27]+12*x[28]+2*x[31]+9*x[32]+26*x[34]+6*x[36]+12*x[38]+21*x[39]+17*x[42]+37*x[43]+15*x[44]+x[46]+14*x[49]+x[50]+20*x[53]+15*x[54]+15*x[55]+9*x[56]+13*x[60]+20*x[61]+31*x[62]+30*x[63]+13*x[64]+10*x[65]+2*x[66]+10*x[70]+28*x[71]+x[72]+9*x[74]+3*x[76]+x[77]+x[78]+12*x[79]+14*x[83]+6*x[84]+3*x[86]+x[90]+x[92]+x[93]+3*x[94]+2*x[95])*q^45 + (x[15]+3*x[17]+2*x[18]+13*x[26]+7*x[29]+5*x[30]+6*x[33]+21*x[35]+19*x[37]+21*x[40]+26*x[41]+22*x[45]+37*x[47]+16*x[48]+11*x[51]+8*x[52]+40*x[57]+40*x[58]+6*x[59]+19*x[67]+33*x[68]+14*x[69]+17*x[73]+18*x[75]+17*x[80]+2*x[81]+15*x[82]+6*x[85]+5*x[88]+7*x[89]+2*x[97]+x[98]+x[99])*q^44 + (3*x[16]+x[20]+x[21]+2*x[22]+3*x[23]+6*x[24]+x[25]+4*x[27]+9*x[28]+4*x[31]+10*x[32]+21*x[34]+4*x[36]+15*x[38]+24*x[39]+21*x[42]+38*x[43]+15*x[44]+x[46]+16*x[49]+3*x[50]+25*x[53]+19*x[54]+19*x[55]+9*x[56]+18*x[60]+30*x[61]+40*x[62]+31*x[63]+15*x[64]+11*x[65]+x[66]+13*x[70]+37*x[71]+3*x[72]+15*x[74]+3*x[76]+3*x[77]+2*x[78]+21*x[79]+22*x[83]+9*x[84]+7*x[86]+2*x[90]+2*x[92]+5*x[93]+5*x[94]+3*x[95]+x[102])*q^43 + (x[15]+x[17]+2*x[18]+9*x[26]+5*x[29]+6*x[30]+2*x[33]+23*x[35]+13*x[37]+15*x[40]+25*x[41]+28*x[45]+39*x[47]+20*x[48]+11*x[51]+6*x[52]+50*x[57]+38*x[58]+3*x[59]+30*x[67]+41*x[68]+23*x[69]+17*x[73]+26*x[75]+19*x[80]+5*x[81]+27*x[82]+9*x[85]+4*x[88]+13*x[89]+x[91]+3*x[97]+4*x[98]+x[99])*q^42 + (x[16]+x[20]+2*x[22]+2*x[23]+3*x[24]+x[25]+3*x[27]+7*x[28]+3*x[31]+8*x[32]+17*x[34]+4*x[36]+13*x[38]+21*x[39]+22*x[42]+37*x[43]+16*x[44]+15*x[49]+28*x[53]+16*x[54]+20*x[55]+5*x[56]+25*x[60]+31*x[61]+46*x[62]+32*x[63]+15*x[64]+9*x[65]+20*x[70]+48*x[71]+5*x[72]+20*x[74]+4*x[76]+4*x[77]+2*x[78]+29*x[79]+26*x[83]+15*x[84]+13*x[86]+4*x[90]+5*x[92]+4*x[93]+11*x[94]+2*x[95]+x[100]+x[101])*q^41 + (x[17]+6*x[26]+4*x[29]+3*x[30]+4*x[33]+14*x[35]+14*x[37]+16*x[40]+23*x[41]+23*x[45]+35*x[47]+15*x[48]+13*x[51]+9*x[52]+51*x[57]+43*x[58]+5*x[59]+32*x[67]+46*x[68]+22*x[69]+24*x[73]+33*x[75]+26*x[80]+9*x[81]+33*x[82]+12*x[85]+5*x[88]+20*x[89]+x[91]+6*x[97]+6*x[98]+x[103])*q^40 + (x[20]+x[22]+2*x[23]+x[24]+x[25]+2*x[27]+4*x[28]+2*x[31]+4*x[32]+15*x[34]+4*x[36]+8*x[38]+15*x[39]+17*x[42]+30*x[43]+13*x[44]+2*x[46]+17*x[49]+5*x[50]+29*x[53]+22*x[54]+23*x[55]+13*x[56]+23*x[60]+30*x[61]+38*x[62]+36*x[63]+14*x[64]+13*x[65]+2*x[66]+21*x[70]+51*x[71]+5*x[72]+19*x[74]+6*x[76]+7*x[77]+5*x[78]+34*x[79]+38*x[83]+18*x[84]+15*x[86]+x[87]+6*x[90]+7*x[92]+12*x[93]+12*x[94]+5*x[95]+2*x[100]+2*x[101]+2*x[102])*q^39 + (3*x[26]+2*x[29]+2*x[30]+2*x[33]+10*x[35]+10*x[37]+11*x[40]+17*x[41]+19*x[45]+29*x[47]+12*x[48]+14*x[51]+10*x[52]+46*x[57]+41*x[58]+5*x[59]+32*x[67]+45*x[68]+20*x[69]+29*x[73]+37*x[75]+33*x[80]+9*x[81]+35*x[82]+14*x[85]+11*x[88]+27*x[89]+2*x[91]+2*x[96]+11*x[97]+7*x[98]+2*x[99]+x[103]+x[107])*q^38 + (x[24]+x[27]+2*x[28]+2*x[31]+3*x[32]+7*x[34]+2*x[36]+7*x[38]+11*x[39]+15*x[42]+23*x[43]+10*x[44]+13*x[49]+x[50]+25*x[53]+15*x[54]+18*x[55]+5*x[56]+24*x[60]+27*x[61]+37*x[62]+27*x[63]+12*x[64]+8*x[65]+23*x[70]+52*x[71]+6*x[72]+21*x[74]+7*x[76]+8*x[77]+5*x[78]+36*x[79]+39*x[83]+23*x[84]+20*x[86]+10*x[90]+10*x[92]+13*x[93]+15*x[94]+5*x[95]+4*x[100]+4*x[101]+2*x[102])*q^37 + (x[26]+x[29]+x[30]+7*x[35]+4*x[37]+5*x[40]+11*x[41]+16*x[45]+21*x[47]+11*x[48]+9*x[51]+5*x[52]+40*x[57]+28*x[58]+2*x[59]+33*x[67]+42*x[68]+22*x[69]+23*x[73]+36*x[75]+27*x[80]+14*x[81]+42*x[82]+15*x[85]+5*x[88]+32*x[89]+4*x[91]+2*x[96]+12*x[97]+12*x[98]+3*x[103]+x[107])*q^36 + (x[28]+x[31]+x[32]+4*x[34]+x[36]+4*x[38]+6*x[39]+10*x[42]+14*x[43]+6*x[44]+x[46]+10*x[49]+2*x[50]+19*x[53]+12*x[54]+14*x[55]+5*x[56]+22*x[60]+21*x[61]+29*x[62]+20*x[63]+9*x[64]+6*x[65]+x[66]+20*x[70]+45*x[71]+7*x[72]+21*x[74]+5*x[76]+9*x[77]+5*x[78]+37*x[79]+36*x[83]+23*x[84]+22*x[86]+3*x[87]+9*x[90]+15*x[92]+13*x[93]+21*x[94]+3*x[95]+5*x[100]+5*x[101]+2*x[102]+2*x[106])*q^35 + (x[33]+2*x[35]+4*x[37]+4*x[40]+6*x[41]+8*x[45]+13*x[47]+5*x[48]+8*x[51]+6*x[52]+27*x[57]+24*x[58]+3*x[59]+24*x[67]+33*x[68]+15*x[69]+24*x[73]+32*x[75]+28*x[80]+13*x[81]+36*x[82]+15*x[85]+9*x[88]+34*x[89]+4*x[91]+3*x[96]+15*x[97]+12*x[98]+x[99]+6*x[103]+x[107])*q^34 + (2*x[34]+x[36]+x[38]+2*x[39]+5*x[42]+8*x[43]+3*x[44]+x[46]+8*x[49]+2*x[50]+13*x[53]+10*x[54]+10*x[55]+6*x[56]+14*x[60]+13*x[61]+16*x[62]+17*x[63]+6*x[64]+6*x[65]+x[66]+16*x[70]+36*x[71]+4*x[72]+14*x[74]+7*x[76]+9*x[77]+7*x[78]+28*x[79]+37*x[83]+23*x[84]+19*x[86]+x[87]+13*x[90]+14*x[92]+17*x[93]+16*x[94]+6*x[95]+7*x[100]+8*x[101]+4*x[102]+x[106])*q^33 + (x[35]+x[37]+x[40]+2*x[41]+4*x[45]+7*x[47]+3*x[48]+5*x[51]+4*x[52]+17*x[57]+15*x[58]+2*x[59]+17*x[67]+24*x[68]+10*x[69]+20*x[73]+24*x[75]+23*x[80]+11*x[81]+29*x[82]+13*x[85]+9*x[88]+32*x[89]+5*x[91]+6*x[96]+18*x[97]+12*x[98]+2*x[99]+5*x[103]+3*x[107])*q^32 + (x[38]+x[39]+3*x[42]+3*x[43]+x[44]+4*x[49]+7*x[53]+4*x[54]+5*x[55]+x[56]+11*x[60]+8*x[61]+12*x[62]+7*x[63]+4*x[64]+2*x[65]+11*x[70]+25*x[71]+4*x[72]+13*x[74]+4*x[76]+8*x[77]+5*x[78]+23*x[79]+26*x[83]+19*x[84]+17*x[86]+2*x[87]+10*x[90]+16*x[92]+14*x[93]+17*x[94]+4*x[95]+8*x[100]+8*x[101]+4*x[102]+x[104]+3*x[106]+x[109])*q^31 + (x[41]+2*x[45]+3*x[47]+2*x[48]+x[51]+9*x[57]+6*x[58]+12*x[67]+15*x[68]+9*x[69]+11*x[73]+17*x[75]+13*x[80]+10*x[81]+25*x[82]+11*x[85]+3*x[88]+27*x[89]+5*x[91]+4*x[96]+14*x[97]+13*x[98]+9*x[103]+2*x[107]+x[108])*q^30 + (x[42]+x[43]+2*x[49]+3*x[53]+2*x[54]+2*x[55]+x[56]+6*x[60]+4*x[61]+5*x[62]+4*x[63]+2*x[64]+x[65]+6*x[70]+15*x[71]+3*x[72]+9*x[74]+2*x[76]+6*x[77]+4*x[78]+15*x[79]+18*x[83]+15*x[84]+13*x[86]+2*x[87]+8*x[90]+15*x[92]+10*x[93]+15*x[94]+2*x[95]+8*x[100]+9*x[101]+2*x[102]+x[105]+3*x[106])*q^29 + (x[47]+x[51]+x[52]+3*x[57]+4*x[58]+x[59]+5*x[67]+8*x[68]+3*x[69]+9*x[73]+9*x[75]+10*x[80]+6*x[81]+14*x[82]+8*x[85]+5*x[88]+20*x[89]+4*x[91]+5*x[96]+14*x[97]+10*x[98]+x[99]+8*x[103]+2*x[107]+x[108])*q^28 + (x[49]+x[53]+x[54]+x[55]+x[56]+2*x[60]+x[61]+x[62]+2*x[63]+x[64]+x[65]+3*x[70]+8*x[71]+x[72]+4*x[74]+2*x[76]+4*x[77]+4*x[78]+7*x[79]+13*x[83]+10*x[84]+7*x[86]+7*x[90]+10*x[92]+10*x[93]+8*x[94]+4*x[95]+8*x[100]+8*x[101]+5*x[102]+x[104]+x[105]+3*x[106]+x[109])*q^27 + (x[57]+x[58]+2*x[67]+3*x[68]+2*x[69]+5*x[73]+4*x[75]+5*x[80]+3*x[81]+8*x[82]+5*x[85]+3*x[88]+13*x[89]+3*x[91]+5*x[96]+11*x[97]+7*x[98]+x[99]+6*x[103]+4*x[107]+2*x[108])*q^26 + (x[60]+x[62]+x[70]+3*x[71]+x[72]+3*x[74]+2*x[77]+2*x[78]+4*x[79]+5*x[83]+6*x[84]+4*x[86]+x[87]+3*x[90]+9*x[92]+5*x[93]+7*x[94]+x[95]+6*x[100]+6*x[101]+2*x[102]+x[104]+x[105]+3*x[106]+x[109]+x[110])*q^25 + (x[67]+x[68]+x[69]+x[73]+x[75]+x[80]+2*x[81]+5*x[82]+3*x[85]+7*x[89]+2*x[91]+2*x[96]+6*x[97]+6*x[98]+7*x[103]+x[107]+2*x[108])*q^24 + (x[71]+x[74]+x[77]+x[78]+x[79]+2*x[83]+3*x[84]+2*x[86]+2*x[90]+5*x[92]+2*x[93]+4*x[94]+x[95]+5*x[100]+4*x[101]+x[102]+2*x[105]+3*x[106])*q^23 + (x[73]+x[80]+x[82]+x[85]+x[88]+3*x[89]+x[91]+2*x[96]+4*x[97]+3*x[98]+x[99]+4*x[103]+2*x[107]+2*x[108])*q^22 + (x[78]+x[83]+x[84]+x[90]+2*x[92]+2*x[93]+x[94]+x[95]+3*x[100]+2*x[101]+2*x[102]+x[104]+x[105]+2*x[106]+x[109]+x[110])*q^21 + (x[85]+x[89]+x[96]+2*x[97]+x[98]+2*x[103]+2*x[107]+2*x[108])*q^20 + (x[92]+x[94]+2*x[100]+x[101]+x[105]+x[106]+x[110])*q^19 + (x[98]+2*x[103]+x[108])*q^18 + (x[100]+x[105]+x[106])*q^17 + (x[107]+x[108])*q^16 + (x[109]+x[110])*q^15 + (x[111])*q^14 # Green Polys by conj class in A(O) #5.1 : c = () |O_x_c^F| = 1/2*q^28*(q^2+q+1)*(1-q+q^3-q^4+q^5-q^7+q^8)*(q^6+1)*(q^9+1)*(q^12+1)*(q^14-1)*(q^15+1)*(q^20-1) Qxc[E8,5,1] = (x[5]+x[6])*q^63 + (x[8]+x[9]+x[11]+x[19])*q^62 + (x[10]+x[11]+x[17]+x[18]+x[25])*q^61 + (x[10]+x[11]+x[13]+x[16]+x[18]+x[20]+x[23]+x[24]+x[28]+x[29])*q^60 + (x[8]+x[9]+x[10]+x[11]+x[12]+x[16]+2*x[17]+x[18]+2*x[24]+2*x[26]+x[29]+x[35]+x[37]+x[38])*q^59 + (x[8]+x[9]+x[10]+2*x[11]+x[13]+x[14]+2*x[16]+x[17]+2*x[18]+x[20]+x[22]+2*x[23]+2*x[24]+x[25]+x[26]+2*x[28]+2*x[29]+x[32]+2*x[34]+x[35]+x[38]+x[39]+x[43]+x[48])*q^58 + (2*x[10]+2*x[11]+x[12]+x[13]+x[14]+x[15]+x[16]+3*x[17]+4*x[18]+x[20]+x[22]+x[23]+2*x[24]+2*x[25]+4*x[26]+2*x[28]+2*x[29]+x[30]+x[33]+2*x[34]+3*x[35]+2*x[37]+x[38]+2*x[40]+x[41]+x[43]+x[45]+2*x[47]+x[48]+x[64])*q^57 + (x[8]+x[9]+x[10]+2*x[11]+x[12]+2*x[13]+4*x[16]+3*x[17]+2*x[18]+x[19]+x[20]+2*x[22]+3*x[23]+5*x[24]+3*x[26]+x[27]+5*x[28]+3*x[29]+x[31]+3*x[32]+2*x[33]+5*x[34]+2*x[35]+3*x[37]+3*x[38]+3*x[39]+2*x[40]+x[42]+4*x[43]+x[44]+x[47]+x[48]+x[49]+x[58]+x[59]+x[61]+x[62]+x[63])*q^56 + (x[8]+x[9]+2*x[10]+2*x[11]+x[12]+x[13]+x[14]+x[15]+3*x[16]+5*x[17]+4*x[18]+x[20]+x[22]+3*x[23]+4*x[24]+2*x[25]+9*x[26]+x[27]+3*x[28]+4*x[29]+2*x[30]+x[32]+x[33]+5*x[34]+8*x[35]+5*x[37]+3*x[38]+2*x[39]+4*x[40]+4*x[41]+3*x[43]+3*x[45]+5*x[47]+3*x[48]+x[49]+x[54]+x[56]+2*x[57]+2*x[58]+x[62]+x[63]+x[64]+x[65]+x[66]+x[68])*q^55 + (2*x[10]+3*x[11]+3*x[13]+2*x[14]+x[15]+5*x[16]+3*x[17]+5*x[18]+3*x[20]+x[21]+3*x[22]+6*x[23]+6*x[24]+2*x[25]+6*x[26]+2*x[27]+8*x[28]+5*x[29]+x[30]+x[31]+5*x[32]+x[33]+11*x[34]+7*x[35]+x[36]+3*x[37]+5*x[38]+8*x[39]+3*x[40]+2*x[41]+3*x[42]+10*x[43]+3*x[44]+2*x[45]+4*x[47]+4*x[48]+2*x[49]+2*x[53]+x[54]+2*x[55]+x[56]+x[57]+2*x[58]+x[59]+x[60]+2*x[61]+4*x[62]+3*x[63]+2*x[64]+2*x[65]+x[68]+x[69]+x[71])*q^54 + (2*x[10]+2*x[11]+2*x[12]+2*x[13]+x[15]+5*x[16]+8*x[17]+5*x[18]+x[20]+2*x[22]+2*x[23]+7*x[24]+x[25]+13*x[26]+x[27]+7*x[28]+6*x[29]+4*x[30]+x[31]+4*x[32]+4*x[33]+7*x[34]+13*x[35]+11*x[37]+7*x[38]+5*x[39]+10*x[40]+9*x[41]+3*x[42]+8*x[43]+2*x[44]+7*x[45]+11*x[47]+5*x[48]+x[49]+x[51]+x[52]+x[53]+7*x[57]+7*x[58]+x[59]+x[60]+x[61]+5*x[62]+2*x[63]+3*x[64]+x[67]+3*x[68]+2*x[69]+x[71]+x[73]+x[74]+x[75])*q^53 + 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(x[10]+x[11]+2*x[12]+2*x[13]+2*x[15]+6*x[16]+9*x[17]+5*x[18]+x[19]+2*x[20]+4*x[22]+5*x[23]+8*x[24]+2*x[25]+22*x[26]+3*x[27]+12*x[28]+9*x[29]+9*x[30]+2*x[31]+8*x[32]+6*x[33]+19*x[34]+29*x[35]+3*x[36]+21*x[37]+11*x[38]+14*x[39]+22*x[40]+26*x[41]+9*x[42]+23*x[43]+8*x[44]+23*x[45]+33*x[47]+15*x[48]+7*x[49]+6*x[51]+4*x[52]+8*x[53]+6*x[54]+5*x[55]+4*x[56]+30*x[57]+25*x[58]+2*x[59]+4*x[60]+8*x[61]+15*x[62]+14*x[63]+8*x[64]+4*x[65]+x[66]+11*x[67]+18*x[68]+9*x[69]+2*x[70]+9*x[71]+6*x[73]+3*x[74]+9*x[75]+x[76]+2*x[79]+5*x[80]+6*x[82]+4*x[83]+x[84]+x[85]+x[88]+x[89]+x[95])*q^49 + (x[10]+x[11]+3*x[13]+2*x[14]+2*x[15]+7*x[16]+4*x[17]+5*x[18]+5*x[20]+x[21]+7*x[22]+12*x[23]+10*x[24]+3*x[25]+15*x[26]+7*x[27]+17*x[28]+8*x[29]+5*x[30]+4*x[31]+15*x[32]+2*x[33]+33*x[34]+23*x[35]+6*x[36]+12*x[37]+15*x[38]+31*x[39]+13*x[40]+17*x[41]+20*x[42]+44*x[43]+18*x[44]+16*x[45]+x[46]+25*x[47]+15*x[48]+14*x[49]+x[50]+3*x[51]+x[52]+20*x[53]+15*x[54]+17*x[55]+7*x[56]+20*x[57]+18*x[58]+2*x[59]+13*x[60]+23*x[61]+32*x[62]+28*x[63]+10*x[64]+11*x[65]+x[66]+8*x[67]+15*x[68]+9*x[69]+8*x[70]+22*x[71]+x[72]+4*x[73]+6*x[74]+5*x[75]+2*x[76]+x[77]+x[78]+10*x[79]+4*x[80]+5*x[82]+9*x[83]+3*x[84]+2*x[85]+2*x[86]+x[88]+x[89]+x[93]+x[94])*q^48 + (x[10]+x[11]+x[12]+x[13]+x[14]+2*x[15]+5*x[16]+8*x[17]+5*x[18]+2*x[20]+x[21]+3*x[22]+5*x[23]+9*x[24]+2*x[25]+24*x[26]+5*x[27]+11*x[28]+10*x[29]+10*x[30]+3*x[31]+11*x[32]+7*x[33]+20*x[34]+33*x[35]+2*x[36]+26*x[37]+16*x[38]+22*x[39]+29*x[40]+36*x[41]+16*x[42]+30*x[43]+10*x[44]+31*x[45]+45*x[47]+19*x[48]+9*x[49]+12*x[51]+9*x[52]+12*x[53]+9*x[54]+9*x[55]+3*x[56]+47*x[57]+41*x[58]+4*x[59]+10*x[60]+18*x[61]+27*x[62]+16*x[63]+11*x[64]+6*x[65]+19*x[67]+32*x[68]+13*x[69]+4*x[70]+16*x[71]+x[72]+13*x[73]+9*x[74]+17*x[75]+x[77]+8*x[79]+12*x[80]+2*x[81]+12*x[82]+6*x[83]+2*x[84]+3*x[85]+2*x[86]+2*x[88]+4*x[89]+2*x[94]+x[97])*q^47 + (x[11]+x[12]+2*x[13]+x[15]+7*x[16]+5*x[17]+3*x[18]+x[19]+3*x[20]+x[21]+7*x[22]+8*x[23]+11*x[24]+x[25]+14*x[26]+7*x[27]+19*x[28]+8*x[29]+6*x[30]+6*x[31]+19*x[32]+6*x[33]+35*x[34]+23*x[35]+7*x[36]+17*x[37]+20*x[38]+37*x[39]+18*x[40]+22*x[41]+28*x[42]+56*x[43]+25*x[44]+20*x[45]+x[46]+32*x[47]+16*x[48]+18*x[49]+3*x[50]+6*x[51]+4*x[52]+32*x[53]+20*x[54]+23*x[55]+9*x[56]+32*x[57]+28*x[58]+4*x[59]+21*x[60]+36*x[61]+47*x[62]+38*x[63]+15*x[64]+11*x[65]+14*x[67]+23*x[68]+14*x[69]+15*x[70]+38*x[71]+2*x[72]+8*x[73]+12*x[74]+11*x[75]+4*x[76]+2*x[77]+x[78]+19*x[79]+7*x[80]+x[81]+11*x[82]+18*x[83]+7*x[84]+4*x[85]+6*x[86]+x[88]+3*x[89]+x[90]+x[92]+2*x[93]+3*x[94]+x[95]+x[98])*q^46 + (x[12]+x[13]+x[14]+3*x[15]+3*x[16]+5*x[17]+5*x[18]+3*x[20]+5*x[22]+6*x[23]+5*x[24]+3*x[25]+23*x[26]+4*x[27]+12*x[28]+9*x[29]+12*x[30]+2*x[31]+9*x[32]+5*x[33]+26*x[34]+39*x[35]+6*x[36]+25*x[37]+12*x[38]+21*x[39]+30*x[40]+43*x[41]+17*x[42]+37*x[43]+15*x[44]+43*x[45]+x[46]+57*x[47]+26*x[48]+14*x[49]+x[50]+16*x[51]+9*x[52]+20*x[53]+15*x[54]+15*x[55]+9*x[56]+65*x[57]+50*x[58]+2*x[59]+13*x[60]+20*x[61]+31*x[62]+30*x[63]+13*x[64]+10*x[65]+2*x[66]+34*x[67]+48*x[68]+22*x[69]+10*x[70]+28*x[71]+x[72]+18*x[73]+9*x[74]+30*x[75]+3*x[76]+x[77]+x[78]+12*x[79]+20*x[80]+4*x[81]+24*x[82]+14*x[83]+6*x[84]+6*x[85]+3*x[86]+4*x[88]+10*x[89]+x[90]+x[91]+x[92]+x[93]+3*x[94]+2*x[95]+x[97]+2*x[98])*q^45 + 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(x[39]+2*x[42]+2*x[43]+x[44]+x[46]+3*x[49]+x[50]+6*x[53]+5*x[54]+6*x[55]+2*x[56]+10*x[60]+7*x[61]+8*x[62]+6*x[63]+2*x[64]+3*x[65]+x[67]+x[68]+x[69]+11*x[70]+22*x[71]+4*x[72]+x[73]+10*x[74]+x[75]+5*x[76]+11*x[77]+8*x[78]+24*x[79]+x[80]+2*x[81]+5*x[82]+29*x[83]+22*x[84]+3*x[85]+19*x[86]+3*x[87]+7*x[89]+14*x[90]+2*x[91]+24*x[92]+21*x[93]+19*x[94]+5*x[95]+2*x[96]+6*x[97]+6*x[98]+15*x[100]+17*x[101]+10*x[102]+7*x[103]+3*x[104]+3*x[105]+7*x[106]+x[107]+2*x[108]+2*x[109]+x[110])*q^24 + (x[41]+2*x[45]+2*x[47]+x[48]+2*x[51]+x[52]+9*x[57]+5*x[58]+11*x[67]+13*x[68]+6*x[69]+x[71]+11*x[73]+x[74]+18*x[75]+x[77]+x[78]+x[79]+14*x[80]+12*x[81]+25*x[82]+2*x[83]+3*x[84]+11*x[85]+2*x[86]+5*x[88]+33*x[89]+2*x[90]+7*x[91]+5*x[92]+2*x[93]+4*x[94]+x[95]+9*x[96]+23*x[97]+16*x[98]+5*x[100]+4*x[101]+x[102]+16*x[103]+2*x[105]+3*x[106]+6*x[107]+5*x[108])*q^23 + (x[42]+x[43]+x[44]+x[49]+4*x[53]+x[54]+2*x[55]+7*x[60]+4*x[61]+5*x[62]+3*x[63]+x[64]+8*x[70]+15*x[71]+3*x[72]+x[73]+8*x[74]+3*x[76]+7*x[77]+4*x[78]+16*x[79]+x[80]+x[82]+18*x[83]+17*x[84]+x[85]+16*x[86]+2*x[87]+x[88]+3*x[89]+11*x[90]+x[91]+21*x[92]+11*x[93]+17*x[94]+2*x[95]+2*x[96]+4*x[97]+3*x[98]+x[99]+14*x[100]+15*x[101]+4*x[102]+4*x[103]+x[104]+4*x[105]+7*x[106]+2*x[107]+2*x[108]+2*x[110])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+7*x[67]+8*x[68]+3*x[69]+7*x[73]+11*x[75]+x[78]+10*x[80]+8*x[81]+17*x[82]+x[83]+x[84]+7*x[85]+4*x[88]+24*x[89]+x[90]+7*x[91]+2*x[92]+2*x[93]+x[94]+x[95]+7*x[96]+17*x[97]+14*x[98]+x[99]+3*x[100]+2*x[101]+2*x[102]+15*x[103]+x[104]+x[105]+2*x[106]+3*x[107]+5*x[108]+x[109]+x[110])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+8*x[71]+2*x[72]+4*x[74]+2*x[76]+6*x[77]+4*x[78]+10*x[79]+14*x[83]+11*x[84]+x[85]+10*x[86]+x[87]+x[89]+8*x[90]+15*x[92]+12*x[93]+10*x[94]+3*x[95]+x[96]+2*x[97]+x[98]+11*x[100]+11*x[101]+6*x[102]+2*x[103]+2*x[104]+4*x[105]+7*x[106]+2*x[107]+2*x[108]+x[109]+x[110])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+6*x[73]+7*x[75]+7*x[80]+5*x[81]+9*x[82]+5*x[85]+4*x[88]+17*x[89]+4*x[91]+x[92]+x[94]+7*x[96]+15*x[97]+8*x[98]+x[99]+2*x[100]+x[101]+10*x[103]+x[105]+x[106]+6*x[107]+5*x[108]+x[110])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+3*x[78]+6*x[79]+8*x[83]+8*x[84]+6*x[86]+x[87]+6*x[90]+11*x[92]+7*x[93]+7*x[94]+2*x[95]+x[98]+9*x[100]+10*x[101]+4*x[102]+2*x[103]+x[104]+3*x[105]+4*x[106]+x[108]+2*x[109]+3*x[110])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+3*x[85]+x[88]+11*x[89]+3*x[91]+4*x[96]+9*x[97]+7*x[98]+x[100]+10*x[103]+x[105]+x[106]+3*x[107]+4*x[108]+x[111])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+8*x[92]+4*x[93]+6*x[94]+7*x[100]+6*x[101]+2*x[102]+x[104]+4*x[105]+5*x[106]+x[107]+x[108]+x[110])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+5*x[98]+7*x[103]+2*x[107]+4*x[108]+x[109]+x[110])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+5*x[100]+5*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+x[109]+2*x[110]+x[111])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+3*x[107]+3*x[108]+x[111])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #5.2 : c = (1) |O_x_c^F| = 1/2*q^28*(q^2-q+1)*(1+q-q^3-q^4-q^5+q^7+q^8)*(q^6+1)*(q^9-1)*(q^12+1)*(q^14-1)*(q^15-1)*(q^20-1) Qxc[E8,5,2] = (x[5]-x[6])*q^63 + (x[8]-x[9]+x[11]-x[19])*q^62 + (x[10]-x[11]+x[17]+x[18]-x[25])*q^61 + (-x[10]+x[11]+x[13]+x[16]-x[18]+x[20]+x[23]+x[24]+x[28]-x[29])*q^60 + (-x[8]+x[9]+x[10]-x[11]+x[12]-x[16]+2*x[17]+x[18]-2*x[24]+2*x[26]+x[29]+x[35]+x[37]-x[38])*q^59 + (x[8]-x[9]-x[10]+2*x[11]+x[13]+x[14]+2*x[16]-x[17]-2*x[18]+x[20]+x[22]+2*x[23]+2*x[24]+x[25]-x[26]+2*x[28]-2*x[29]+x[32]+2*x[34]-x[35]+x[38]+x[39]+x[43]-x[48])*q^58 + (2*x[10]-2*x[11]+x[12]-x[13]-x[14]+x[15]-x[16]+3*x[17]+4*x[18]-x[20]-x[22]-x[23]-2*x[24]-2*x[25]+4*x[26]-2*x[28]+2*x[29]+x[30]+x[33]-2*x[34]+3*x[35]+2*x[37]-x[38]+2*x[40]+x[41]-x[43]+x[45]+2*x[47]+x[48]-x[64])*q^57 + (x[8]-x[9]-x[10]+2*x[11]-x[12]+2*x[13]+4*x[16]-3*x[17]-2*x[18]-x[19]+x[20]+2*x[22]+3*x[23]+5*x[24]-3*x[26]+x[27]+5*x[28]-3*x[29]+x[31]+3*x[32]-2*x[33]+5*x[34]-2*x[35]-3*x[37]+3*x[38]+3*x[39]-2*x[40]+x[42]+4*x[43]+x[44]-x[47]-x[48]+x[49]-x[58]-x[59]+x[61]+x[62]+x[63])*q^56 + (-x[8]+x[9]+2*x[10]-2*x[11]+x[12]-x[13]-x[14]+x[15]-3*x[16]+5*x[17]+4*x[18]-x[20]-x[22]-3*x[23]-4*x[24]-2*x[25]+9*x[26]-x[27]-3*x[28]+4*x[29]+2*x[30]-x[32]+x[33]-5*x[34]+8*x[35]+5*x[37]-3*x[38]-2*x[39]+4*x[40]+4*x[41]-3*x[43]+3*x[45]+5*x[47]+3*x[48]-x[49]-x[54]-x[56]+2*x[57]+2*x[58]-x[62]-x[63]-x[64]-x[65]-x[66]+x[68])*q^55 + (-2*x[10]+3*x[11]+3*x[13]+2*x[14]-x[15]+5*x[16]-3*x[17]-5*x[18]+3*x[20]+x[21]+3*x[22]+6*x[23]+6*x[24]+2*x[25]-6*x[26]+2*x[27]+8*x[28]-5*x[29]-x[30]+x[31]+5*x[32]-x[33]+11*x[34]-7*x[35]+x[36]-3*x[37]+5*x[38]+8*x[39]-3*x[40]-2*x[41]+3*x[42]+10*x[43]+3*x[44]-2*x[45]-4*x[47]-4*x[48]+2*x[49]+2*x[53]+x[54]+2*x[55]+x[56]-x[57]-2*x[58]-x[59]+x[60]+2*x[61]+4*x[62]+3*x[63]+2*x[64]+2*x[65]-x[68]-x[69]+x[71])*q^54 + (2*x[10]-2*x[11]+2*x[12]-2*x[13]+x[15]-5*x[16]+8*x[17]+5*x[18]-x[20]-2*x[22]-2*x[23]-7*x[24]-x[25]+13*x[26]-x[27]-7*x[28]+6*x[29]+4*x[30]-x[31]-4*x[32]+4*x[33]-7*x[34]+13*x[35]+11*x[37]-7*x[38]-5*x[39]+10*x[40]+9*x[41]-3*x[42]-8*x[43]-2*x[44]+7*x[45]+11*x[47]+5*x[48]-x[49]+x[51]+x[52]-x[53]+7*x[57]+7*x[58]+x[59]-x[60]-x[61]-5*x[62]-2*x[63]-3*x[64]+x[67]+3*x[68]+2*x[69]-x[71]+x[73]-x[74]+x[75])*q^53 + (x[8]-x[9]-x[10]+2*x[11]-x[12]+3*x[13]+x[14]-x[15]+7*x[16]-5*x[17]-4*x[18]-x[19]+3*x[20]+5*x[22]+8*x[23]+9*x[24]+x[25]-10*x[26]+4*x[27]+12*x[28]-6*x[29]-2*x[30]+2*x[31]+9*x[32]-2*x[33]+18*x[34]-12*x[35]+2*x[36]-7*x[37]+9*x[38]+14*x[39]-6*x[40]-5*x[41]+7*x[42]+19*x[43]+7*x[44]-5*x[45]-9*x[47]-7*x[48]+5*x[49]+5*x[53]+4*x[54]+4*x[55]+2*x[56]-5*x[57]-5*x[58]-x[59]+3*x[60]+7*x[61]+10*x[62]+9*x[63]+3*x[64]+3*x[65]-x[67]-3*x[68]-3*x[69]+x[70]+4*x[71]+x[74]+x[79]-x[82]+x[83])*q^52 + (2*x[10]-2*x[11]+x[12]-2*x[13]-3*x[14]+3*x[15]-4*x[16]+7*x[17]+7*x[18]-3*x[20]-3*x[22]-7*x[23]-6*x[24]-4*x[25]+19*x[26]-3*x[27]-8*x[28]+8*x[29]+6*x[30]-x[31]-5*x[32]+3*x[33]-15*x[34]+22*x[35]-x[36]+13*x[37]-8*x[38]-10*x[39]+15*x[40]+17*x[41]-5*x[42]-14*x[43]-3*x[44]+15*x[45]+22*x[47]+11*x[48]-4*x[49]+3*x[51]+2*x[52]-3*x[53]-4*x[54]-3*x[55]-3*x[56]+15*x[57]+13*x[58]+x[59]-2*x[60]-4*x[61]-8*x[62]-7*x[63]-5*x[64]-4*x[65]-x[66]+5*x[67]+10*x[68]+4*x[69]-3*x[71]+2*x[73]-2*x[74]+3*x[75]-x[79]+2*x[80]+2*x[82]-x[83])*q^51 + (-x[10]+2*x[11]-x[12]+3*x[13]+x[14]-x[15]+8*x[16]-7*x[17]-4*x[18]-x[19]+3*x[20]+x[21]+6*x[22]+8*x[23]+11*x[24]+2*x[25]-12*x[26]+5*x[27]+16*x[28]-8*x[29]-3*x[30]+4*x[31]+14*x[32]-6*x[33]+24*x[34]-14*x[35]+3*x[36]-13*x[37]+14*x[38]+23*x[39]-13*x[40]-11*x[41]+14*x[42]+31*x[43]+12*x[44]-8*x[45]-16*x[47]-8*x[48]+8*x[49]+x[50]-2*x[51]-2*x[52]+12*x[53]+7*x[54]+8*x[55]+3*x[56]-10*x[57]-14*x[58]-4*x[59]+7*x[60]+15*x[61]+21*x[62]+15*x[63]+7*x[64]+4*x[65]-2*x[67]-7*x[68]-4*x[69]+3*x[70]+11*x[71]-3*x[73]+4*x[74]-2*x[75]+x[76]+4*x[79]-2*x[80]-x[82]+3*x[83]+x[84]-x[85]+x[86]-x[88])*q^50 + (x[10]-x[11]+2*x[12]-2*x[13]+2*x[15]-6*x[16]+9*x[17]+5*x[18]+x[19]-2*x[20]-4*x[22]-5*x[23]-8*x[24]-2*x[25]+22*x[26]-3*x[27]-12*x[28]+9*x[29]+9*x[30]-2*x[31]-8*x[32]+6*x[33]-19*x[34]+29*x[35]-3*x[36]+21*x[37]-11*x[38]-14*x[39]+22*x[40]+26*x[41]-9*x[42]-23*x[43]-8*x[44]+23*x[45]+33*x[47]+15*x[48]-7*x[49]+6*x[51]+4*x[52]-8*x[53]-6*x[54]-5*x[55]-4*x[56]+30*x[57]+25*x[58]+2*x[59]-4*x[60]-8*x[61]-15*x[62]-14*x[63]-8*x[64]-4*x[65]-x[66]+11*x[67]+18*x[68]+9*x[69]-2*x[70]-9*x[71]+6*x[73]-3*x[74]+9*x[75]-x[76]-2*x[79]+5*x[80]+6*x[82]-4*x[83]-x[84]+x[85]+x[88]+x[89]-x[95])*q^49 + 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+ (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #6 : 4*A1 dim = 128 A(O) = 1 , |A(O)_0| = 1 g_s = 8*V[3]+28*V[2]+48*V[1]+36*V[0] Z_G(x)_0 = C4 # Green Polys by orbit reps #6.1 : x[7] : 4*A1,[1] : phi[50,56] Qxi[E8,6,1] = (x[7])*q^56 + (x[12])*q^55 + (x[13]+x[22])*q^54 + (x[10]+x[12]+x[26]+x[30])*q^53 + (x[8]+x[13]+x[16]+x[21]+x[22]+x[23]+x[24]+x[27]+x[31]+x[32]+x[39])*q^52 + (x[10]+x[12]+x[15]+x[17]+x[18]+3*x[26]+2*x[30]+x[35]+x[40]+x[41]+x[45])*q^51 + 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(x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+3*x[107]+3*x[108]+x[111])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #6.1 : c = () |O_x_c^F| = q^20*(q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^6+1)*(q^12+1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,6,1] = (x[7])*q^56 + (x[12])*q^55 + (x[13]+x[22])*q^54 + 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(x[42]+x[43]+x[44]+x[49]+4*x[53]+x[54]+2*x[55]+7*x[60]+4*x[61]+5*x[62]+3*x[63]+x[64]+8*x[70]+15*x[71]+3*x[72]+8*x[74]+3*x[76]+7*x[77]+4*x[78]+16*x[79]+18*x[83]+17*x[84]+16*x[86]+2*x[87]+11*x[90]+20*x[92]+11*x[93]+16*x[94]+2*x[95]+12*x[100]+14*x[101]+4*x[102]+x[104]+3*x[105]+6*x[106]+x[110])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+7*x[67]+8*x[68]+3*x[69]+7*x[73]+11*x[75]+10*x[80]+8*x[81]+17*x[82]+7*x[85]+4*x[88]+24*x[89]+7*x[91]+7*x[96]+17*x[97]+13*x[98]+x[99]+13*x[103]+3*x[107]+4*x[108])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+8*x[71]+2*x[72]+4*x[74]+2*x[76]+6*x[77]+4*x[78]+10*x[79]+14*x[83]+11*x[84]+10*x[86]+x[87]+8*x[90]+15*x[92]+12*x[93]+10*x[94]+3*x[95]+10*x[100]+11*x[101]+6*x[102]+2*x[104]+3*x[105]+6*x[106]+x[109]+x[110])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+6*x[73]+7*x[75]+7*x[80]+5*x[81]+9*x[82]+5*x[85]+4*x[88]+17*x[89]+4*x[91]+7*x[96]+15*x[97]+8*x[98]+x[99]+10*x[103]+5*x[107]+4*x[108])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+3*x[78]+6*x[79]+8*x[83]+8*x[84]+6*x[86]+x[87]+6*x[90]+11*x[92]+7*x[93]+7*x[94]+2*x[95]+9*x[100]+10*x[101]+4*x[102]+x[104]+3*x[105]+4*x[106]+x[109]+2*x[110])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+3*x[85]+x[88]+11*x[89]+3*x[91]+4*x[96]+9*x[97]+7*x[98]+10*x[103]+3*x[107]+4*x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+8*x[92]+4*x[93]+6*x[94]+7*x[100]+6*x[101]+2*x[102]+x[104]+4*x[105]+5*x[106]+x[110])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+5*x[98]+7*x[103]+2*x[107]+4*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+5*x[100]+5*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+x[109]+2*x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+3*x[107]+3*x[108]+x[111])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #7.2 : x[9] : A2+A1,[1, 1] : phi[160,55] Qxi[E8,7,2] = (x[9])*q^52 + (x[11]+x[14]+x[25])*q^51 + (x[10]+x[17]+x[18]+x[29]+x[33])*q^50 + (x[11]+x[13]+2*x[16]+2*x[24]+x[28]+x[34]+x[38])*q^49 + (x[10]+x[15]+2*x[17]+2*x[18]+3*x[26]+2*x[29]+3*x[35]+x[47]+x[48])*q^48 + (x[11]+x[13]+x[14]+3*x[16]+x[20]+x[22]+2*x[23]+3*x[24]+x[25]+x[27]+3*x[28]+2*x[32]+4*x[34]+3*x[38]+2*x[39]+x[42]+2*x[43]+x[62]+x[64])*q^47 + (x[12]+x[15]+4*x[17]+2*x[18]+x[19]+6*x[26]+3*x[29]+x[30]+3*x[33]+6*x[35]+4*x[37]+4*x[40]+3*x[41]+x[45]+4*x[47]+2*x[48]+x[57]+2*x[58]+x[59]+x[69])*q^46 + (x[13]+x[14]+3*x[16]+2*x[20]+3*x[22]+4*x[23]+3*x[24]+2*x[25]+2*x[27]+6*x[28]+4*x[32]+10*x[34]+2*x[36]+4*x[38]+6*x[39]+3*x[42]+8*x[43]+2*x[44]+2*x[49]+x[53]+2*x[54]+x[55]+2*x[56]+x[61]+3*x[62]+4*x[63]+2*x[64]+x[65]+x[66]+x[71])*q^45 + (x[15]+3*x[17]+2*x[18]+9*x[26]+4*x[29]+3*x[30]+3*x[33]+11*x[35]+7*x[37]+8*x[40]+9*x[41]+5*x[45]+11*x[47]+5*x[48]+x[51]+x[52]+6*x[57]+7*x[58]+2*x[59]+x[67]+3*x[68]+2*x[69]+x[73]+x[80])*q^44 + (3*x[16]+x[20]+x[21]+2*x[22]+2*x[23]+5*x[24]+x[25]+3*x[27]+7*x[28]+2*x[31]+7*x[32]+12*x[34]+2*x[36]+8*x[38]+13*x[39]+9*x[42]+16*x[43]+6*x[44]+4*x[49]+5*x[53]+4*x[54]+4*x[55]+2*x[56]+2*x[60]+7*x[61]+11*x[62]+7*x[63]+5*x[64]+2*x[65]+x[70]+5*x[71]+2*x[74]+x[79]+x[83])*q^43 + (x[15]+x[17]+2*x[18]+8*x[26]+4*x[29]+5*x[30]+2*x[33]+16*x[35]+8*x[37]+9*x[40]+15*x[41]+13*x[45]+19*x[47]+10*x[48]+3*x[51]+x[52]+17*x[57]+13*x[58]+x[59]+7*x[67]+9*x[68]+7*x[69]+2*x[73]+3*x[75]+2*x[80]+3*x[82]+x[85])*q^42 + (x[16]+x[20]+2*x[22]+2*x[23]+3*x[24]+x[25]+3*x[27]+6*x[28]+2*x[31]+7*x[32]+14*x[34]+3*x[36]+9*x[38]+15*x[39]+13*x[42]+23*x[43]+10*x[44]+7*x[49]+12*x[53]+8*x[54]+9*x[55]+3*x[56]+7*x[60]+14*x[61]+20*x[62]+14*x[63]+7*x[64]+5*x[65]+5*x[70]+14*x[71]+x[72]+5*x[74]+5*x[79]+4*x[83]+x[84]+x[86]+x[94])*q^41 + (x[17]+6*x[26]+4*x[29]+3*x[30]+4*x[33]+12*x[35]+11*x[37]+13*x[40]+18*x[41]+15*x[45]+24*x[47]+9*x[48]+8*x[51]+5*x[52]+27*x[57]+25*x[58]+3*x[59]+13*x[67]+19*x[68]+9*x[69]+8*x[73]+10*x[75]+8*x[80]+x[81]+7*x[82]+3*x[85]+x[88]+2*x[89])*q^40 + (x[20]+x[22]+2*x[23]+x[24]+x[25]+2*x[27]+4*x[28]+2*x[31]+4*x[32]+14*x[34]+4*x[36]+7*x[38]+13*x[39]+13*x[42]+24*x[43]+11*x[44]+x[46]+11*x[49]+3*x[50]+19*x[53]+14*x[54]+15*x[55]+8*x[56]+11*x[60]+19*x[61]+24*x[62]+23*x[63]+9*x[64]+8*x[65]+x[66]+10*x[70]+25*x[71]+2*x[72]+7*x[74]+2*x[76]+x[77]+x[78]+12*x[79]+13*x[83]+4*x[84]+3*x[86]+x[90]+2*x[93]+2*x[94]+2*x[95])*q^39 + (3*x[26]+2*x[29]+2*x[30]+2*x[33]+10*x[35]+9*x[37]+10*x[40]+16*x[41]+16*x[45]+24*x[47]+10*x[48]+10*x[51]+7*x[52]+34*x[57]+29*x[58]+3*x[59]+20*x[67]+27*x[68]+13*x[69]+14*x[73]+19*x[75]+16*x[80]+3*x[81]+15*x[82]+5*x[85]+4*x[88]+7*x[89]+x[97]+x[98]+x[99])*q^38 + (x[24]+x[27]+2*x[28]+2*x[31]+3*x[32]+7*x[34]+2*x[36]+7*x[38]+11*x[39]+14*x[42]+21*x[43]+9*x[44]+10*x[49]+x[50]+20*x[53]+12*x[54]+15*x[55]+4*x[56]+17*x[60]+22*x[61]+30*x[62]+21*x[63]+9*x[64]+6*x[65]+15*x[70]+34*x[71]+4*x[72]+13*x[74]+3*x[76]+3*x[77]+2*x[78]+22*x[79]+19*x[83]+9*x[84]+9*x[86]+3*x[90]+2*x[92]+4*x[93]+6*x[94]+2*x[95])*q^37 + (x[26]+x[29]+x[30]+7*x[35]+4*x[37]+5*x[40]+11*x[41]+15*x[45]+20*x[47]+10*x[48]+8*x[51]+5*x[52]+35*x[57]+24*x[58]+2*x[59]+26*x[67]+32*x[68]+17*x[69]+15*x[73]+25*x[75]+18*x[80]+8*x[81]+26*x[82]+8*x[85]+2*x[88]+15*x[89]+x[91]+3*x[97]+4*x[98])*q^36 + (x[28]+x[31]+x[32]+4*x[34]+x[36]+4*x[38]+6*x[39]+10*x[42]+14*x[43]+6*x[44]+x[46]+9*x[49]+2*x[50]+18*x[53]+11*x[54]+13*x[55]+5*x[56]+18*x[60]+19*x[61]+26*x[62]+19*x[63]+8*x[64]+5*x[65]+x[66]+17*x[70]+37*x[71]+5*x[72]+15*x[74]+4*x[76]+5*x[77]+3*x[78]+27*x[79]+25*x[83]+14*x[84]+14*x[86]+x[87]+5*x[90]+6*x[92]+7*x[93]+11*x[94]+2*x[95]+x[100]+x[101])*q^35 + (x[33]+2*x[35]+4*x[37]+4*x[40]+6*x[41]+8*x[45]+13*x[47]+5*x[48]+8*x[51]+6*x[52]+26*x[57]+23*x[58]+3*x[59]+22*x[67]+29*x[68]+13*x[69]+20*x[73]+27*x[75]+24*x[80]+9*x[81]+27*x[82]+10*x[85]+7*x[88]+22*x[89]+2*x[91]+x[96]+8*x[97]+6*x[98]+x[99]+x[103])*q^34 + (2*x[34]+x[36]+x[38]+2*x[39]+5*x[42]+8*x[43]+3*x[44]+x[46]+8*x[49]+2*x[50]+13*x[53]+10*x[54]+10*x[55]+6*x[56]+13*x[60]+13*x[61]+16*x[62]+16*x[63]+6*x[64]+6*x[65]+x[66]+15*x[70]+33*x[71]+4*x[72]+12*x[74]+6*x[76]+7*x[77]+5*x[78]+25*x[79]+31*x[83]+17*x[84]+15*x[86]+x[87]+9*x[90]+8*x[92]+13*x[93]+11*x[94]+4*x[95]+3*x[100]+3*x[101]+2*x[102])*q^33 + (x[35]+x[37]+x[40]+2*x[41]+4*x[45]+7*x[47]+3*x[48]+5*x[51]+4*x[52]+17*x[57]+15*x[58]+2*x[59]+17*x[67]+23*x[68]+10*x[69]+18*x[73]+23*x[75]+21*x[80]+10*x[81]+26*x[82]+11*x[85]+7*x[88]+26*x[89]+3*x[91]+3*x[96]+12*x[97]+8*x[98]+x[99]+2*x[103]+x[107])*q^32 + (x[38]+x[39]+3*x[42]+3*x[43]+x[44]+4*x[49]+7*x[53]+4*x[54]+5*x[55]+x[56]+11*x[60]+8*x[61]+12*x[62]+7*x[63]+4*x[64]+2*x[65]+11*x[70]+25*x[71]+4*x[72]+12*x[74]+4*x[76]+7*x[77]+4*x[78]+22*x[79]+24*x[83]+17*x[84]+16*x[86]+2*x[87]+9*x[90]+12*x[92]+11*x[93]+15*x[94]+3*x[95]+5*x[100]+5*x[101]+2*x[102]+x[106])*q^31 + (x[41]+2*x[45]+3*x[47]+2*x[48]+x[51]+9*x[57]+6*x[58]+12*x[67]+15*x[68]+9*x[69]+11*x[73]+17*x[75]+13*x[80]+10*x[81]+24*x[82]+10*x[85]+3*x[88]+25*x[89]+4*x[91]+3*x[96]+11*x[97]+11*x[98]+6*x[103]+x[107])*q^30 + (x[42]+x[43]+2*x[49]+3*x[53]+2*x[54]+2*x[55]+x[56]+6*x[60]+4*x[61]+5*x[62]+4*x[63]+2*x[64]+x[65]+6*x[70]+15*x[71]+3*x[72]+9*x[74]+2*x[76]+6*x[77]+4*x[78]+15*x[79]+18*x[83]+14*x[84]+13*x[86]+2*x[87]+8*x[90]+13*x[92]+10*x[93]+14*x[94]+2*x[95]+6*x[100]+7*x[101]+2*x[102]+2*x[106])*q^29 + (x[47]+x[51]+x[52]+3*x[57]+4*x[58]+x[59]+5*x[67]+8*x[68]+3*x[69]+9*x[73]+9*x[75]+10*x[80]+6*x[81]+14*x[82]+8*x[85]+5*x[88]+20*x[89]+4*x[91]+5*x[96]+13*x[97]+9*x[98]+x[99]+6*x[103]+2*x[107])*q^28 + (x[49]+x[53]+x[54]+x[55]+x[56]+2*x[60]+x[61]+x[62]+2*x[63]+x[64]+x[65]+3*x[70]+8*x[71]+x[72]+4*x[74]+2*x[76]+4*x[77]+4*x[78]+7*x[79]+13*x[83]+10*x[84]+7*x[86]+7*x[90]+10*x[92]+10*x[93]+8*x[94]+4*x[95]+7*x[100]+8*x[101]+4*x[102]+x[104]+2*x[106]+x[109])*q^27 + (x[57]+x[58]+2*x[67]+3*x[68]+2*x[69]+5*x[73]+4*x[75]+5*x[80]+3*x[81]+8*x[82]+5*x[85]+3*x[88]+13*x[89]+3*x[91]+5*x[96]+11*x[97]+7*x[98]+x[99]+6*x[103]+3*x[107]+x[108])*q^26 + (x[60]+x[62]+x[70]+3*x[71]+x[72]+3*x[74]+2*x[77]+2*x[78]+4*x[79]+5*x[83]+6*x[84]+4*x[86]+x[87]+3*x[90]+9*x[92]+5*x[93]+7*x[94]+x[95]+6*x[100]+6*x[101]+2*x[102]+x[104]+x[105]+3*x[106]+x[109])*q^25 + (x[67]+x[68]+x[69]+x[73]+x[75]+x[80]+2*x[81]+5*x[82]+3*x[85]+7*x[89]+2*x[91]+2*x[96]+6*x[97]+6*x[98]+7*x[103]+x[107]+2*x[108])*q^24 + (x[71]+x[74]+x[77]+x[78]+x[79]+2*x[83]+3*x[84]+2*x[86]+2*x[90]+5*x[92]+2*x[93]+4*x[94]+x[95]+5*x[100]+4*x[101]+x[102]+2*x[105]+3*x[106])*q^23 + (x[73]+x[80]+x[82]+x[85]+x[88]+3*x[89]+x[91]+2*x[96]+4*x[97]+3*x[98]+x[99]+4*x[103]+2*x[107]+2*x[108])*q^22 + (x[78]+x[83]+x[84]+x[90]+2*x[92]+2*x[93]+x[94]+x[95]+3*x[100]+2*x[101]+2*x[102]+x[104]+x[105]+2*x[106]+x[109]+x[110])*q^21 + (x[85]+x[89]+x[96]+2*x[97]+x[98]+2*x[103]+2*x[107]+2*x[108])*q^20 + (x[92]+x[94]+2*x[100]+x[101]+x[105]+x[106]+x[110])*q^19 + (x[98]+2*x[103]+x[108])*q^18 + (x[100]+x[105]+x[106])*q^17 + (x[107]+x[108])*q^16 + (x[109]+x[110])*q^15 + (x[111])*q^14 # Green Polys by conj class in A(O) #7.1 : c = () |O_x_c^F| = 1/2*q^28*(q^2+q+1)*(1-q+q^3-q^4+q^5-q^7+q^8)*(q^3+1)*(q^4+1)*(q^6+1)^2*(q^12+1)*(q^14-1)*(q^15+1)*(q^18-1)*(q^20-1) Qxc[E8,7,1] = (x[8]+x[9])*q^52 + (x[10]+x[11]+x[14]+x[18]+x[25])*q^51 + (x[10]+x[11]+x[13]+x[16]+x[17]+x[18]+x[24]+x[28]+x[29]+x[33])*q^50 + (x[10]+x[11]+x[12]+x[13]+2*x[16]+2*x[17]+x[18]+2*x[24]+2*x[26]+x[28]+x[29]+x[34]+x[35]+x[37]+x[38])*q^49 + 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(x[15]+x[16]+2*x[17]+2*x[18]+x[20]+2*x[22]+2*x[23]+3*x[24]+x[25]+13*x[26]+3*x[27]+6*x[28]+4*x[29]+8*x[30]+2*x[31]+7*x[32]+3*x[33]+14*x[34]+20*x[35]+3*x[36]+14*x[37]+9*x[38]+15*x[39]+18*x[40]+25*x[41]+13*x[42]+23*x[43]+10*x[44]+22*x[45]+28*x[47]+11*x[48]+7*x[49]+9*x[51]+6*x[52]+12*x[53]+8*x[54]+9*x[55]+3*x[56]+31*x[57]+24*x[58]+x[59]+7*x[60]+14*x[61]+20*x[62]+14*x[63]+7*x[64]+5*x[65]+12*x[67]+18*x[68]+6*x[69]+5*x[70]+14*x[71]+x[72]+6*x[73]+5*x[74]+9*x[75]+5*x[79]+6*x[80]+5*x[82]+4*x[83]+x[84]+x[85]+x[86]+x[88]+x[89]+x[94])*q^41 + 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(x[30]+3*x[35]+2*x[37]+3*x[40]+7*x[41]+x[42]+x[43]+11*x[45]+13*x[47]+6*x[48]+2*x[49]+9*x[51]+6*x[52]+3*x[53]+2*x[54]+2*x[55]+x[56]+34*x[57]+23*x[58]+x[59]+6*x[60]+4*x[61]+5*x[62]+4*x[63]+2*x[64]+x[65]+31*x[67]+39*x[68]+16*x[69]+6*x[70]+15*x[71]+3*x[72]+26*x[73]+9*x[74]+44*x[75]+2*x[76]+6*x[77]+4*x[78]+15*x[79]+33*x[80]+21*x[81]+48*x[82]+18*x[83]+14*x[84]+16*x[85]+13*x[86]+2*x[87]+10*x[88]+49*x[89]+8*x[90]+8*x[91]+13*x[92]+10*x[93]+14*x[94]+2*x[95]+7*x[96]+23*x[97]+16*x[98]+6*x[100]+7*x[101]+2*x[102]+8*x[103]+2*x[106]+2*x[107])*q^29 + (x[31]+x[32]+x[34]+2*x[38]+4*x[39]+7*x[42]+8*x[43]+4*x[44]+x[46]+x[47]+7*x[49]+2*x[50]+x[51]+x[52]+16*x[53]+10*x[54]+12*x[55]+3*x[56]+3*x[57]+4*x[58]+x[59]+22*x[60]+19*x[61]+22*x[62]+15*x[63]+5*x[64]+4*x[65]+5*x[67]+8*x[68]+3*x[69]+21*x[70]+42*x[71]+8*x[72]+9*x[73]+20*x[74]+9*x[75]+7*x[76]+15*x[77]+7*x[78]+42*x[79]+10*x[80]+6*x[81]+14*x[82]+42*x[83]+29*x[84]+8*x[85]+31*x[86]+4*x[87]+5*x[88]+20*x[89]+16*x[90]+4*x[91]+25*x[92]+21*x[93]+25*x[94]+3*x[95]+5*x[96]+13*x[97]+9*x[98]+x[99]+9*x[100]+13*x[101]+5*x[102]+6*x[103]+x[104]+4*x[106]+2*x[107])*q^28 + (x[35]+x[37]+2*x[40]+4*x[41]+7*x[45]+8*x[47]+3*x[48]+x[49]+7*x[51]+4*x[52]+x[53]+x[54]+x[55]+x[56]+22*x[57]+16*x[58]+x[59]+2*x[60]+x[61]+x[62]+2*x[63]+x[64]+x[65]+24*x[67]+30*x[68]+12*x[69]+3*x[70]+8*x[71]+x[72]+21*x[73]+4*x[74]+35*x[75]+2*x[76]+4*x[77]+4*x[78]+7*x[79]+28*x[80]+18*x[81]+41*x[82]+13*x[83]+10*x[84]+15*x[85]+7*x[86]+9*x[88]+46*x[89]+7*x[90]+10*x[91]+10*x[92]+10*x[93]+8*x[94]+4*x[95]+8*x[96]+24*x[97]+18*x[98]+7*x[100]+8*x[101]+4*x[102]+12*x[103]+x[104]+2*x[106]+2*x[107]+x[108]+x[109])*q^27 + (x[34]+x[36]+x[39]+3*x[42]+5*x[43]+3*x[44]+5*x[49]+x[50]+12*x[53]+7*x[54]+8*x[55]+3*x[56]+x[57]+x[58]+14*x[60]+11*x[61]+12*x[62]+12*x[63]+4*x[64]+3*x[65]+2*x[67]+3*x[68]+2*x[69]+17*x[70]+33*x[71]+5*x[72]+5*x[73]+13*x[74]+4*x[75]+8*x[76]+12*x[77]+7*x[78]+30*x[79]+5*x[80]+3*x[81]+8*x[82]+38*x[83]+27*x[84]+5*x[85]+25*x[86]+2*x[87]+3*x[88]+13*x[89]+17*x[90]+3*x[91]+24*x[92]+20*x[93]+20*x[94]+5*x[95]+5*x[96]+11*x[97]+7*x[98]+x[99]+12*x[100]+16*x[101]+6*x[102]+6*x[103]+x[104]+x[105]+4*x[106]+3*x[107]+x[108])*q^26 + (x[37]+x[40]+2*x[41]+3*x[45]+4*x[47]+x[48]+5*x[51]+4*x[52]+14*x[57]+12*x[58]+x[59]+x[60]+x[62]+15*x[67]+20*x[68]+7*x[69]+x[70]+3*x[71]+x[72]+19*x[73]+3*x[74]+26*x[75]+2*x[77]+2*x[78]+4*x[79]+23*x[80]+14*x[81]+30*x[82]+5*x[83]+6*x[84]+13*x[85]+4*x[86]+x[87]+10*x[88]+40*x[89]+3*x[90]+8*x[91]+9*x[92]+5*x[93]+7*x[94]+x[95]+10*x[96]+26*x[97]+15*x[98]+x[99]+6*x[100]+6*x[101]+2*x[102]+12*x[103]+x[104]+x[105]+3*x[106]+4*x[107]+2*x[108]+x[109])*q^25 + (x[39]+2*x[42]+2*x[43]+x[44]+x[46]+3*x[49]+x[50]+6*x[53]+5*x[54]+6*x[55]+2*x[56]+10*x[60]+7*x[61]+8*x[62]+6*x[63]+2*x[64]+3*x[65]+x[67]+x[68]+x[69]+11*x[70]+22*x[71]+4*x[72]+x[73]+10*x[74]+x[75]+5*x[76]+11*x[77]+7*x[78]+24*x[79]+x[80]+2*x[81]+5*x[82]+28*x[83]+21*x[84]+3*x[85]+19*x[86]+3*x[87]+7*x[89]+13*x[90]+2*x[91]+22*x[92]+19*x[93]+18*x[94]+4*x[95]+2*x[96]+6*x[97]+6*x[98]+12*x[100]+15*x[101]+8*x[102]+7*x[103]+2*x[104]+2*x[105]+5*x[106]+x[107]+2*x[108]+x[109])*q^24 + (x[41]+2*x[45]+2*x[47]+x[48]+2*x[51]+x[52]+9*x[57]+5*x[58]+11*x[67]+13*x[68]+6*x[69]+x[71]+11*x[73]+x[74]+18*x[75]+x[77]+x[78]+x[79]+14*x[80]+12*x[81]+25*x[82]+2*x[83]+3*x[84]+10*x[85]+2*x[86]+5*x[88]+32*x[89]+2*x[90]+7*x[91]+5*x[92]+2*x[93]+4*x[94]+x[95]+8*x[96]+21*x[97]+15*x[98]+5*x[100]+4*x[101]+x[102]+14*x[103]+2*x[105]+3*x[106]+4*x[107]+3*x[108])*q^23 + (x[42]+x[43]+x[44]+x[49]+4*x[53]+x[54]+2*x[55]+7*x[60]+4*x[61]+5*x[62]+3*x[63]+x[64]+8*x[70]+15*x[71]+3*x[72]+x[73]+8*x[74]+3*x[76]+7*x[77]+4*x[78]+16*x[79]+x[80]+x[82]+18*x[83]+17*x[84]+x[85]+16*x[86]+2*x[87]+x[88]+3*x[89]+11*x[90]+x[91]+20*x[92]+11*x[93]+16*x[94]+2*x[95]+2*x[96]+4*x[97]+3*x[98]+x[99]+12*x[100]+14*x[101]+4*x[102]+4*x[103]+x[104]+3*x[105]+6*x[106]+2*x[107]+2*x[108]+x[110])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+7*x[67]+8*x[68]+3*x[69]+7*x[73]+11*x[75]+x[78]+10*x[80]+8*x[81]+17*x[82]+x[83]+x[84]+7*x[85]+4*x[88]+24*x[89]+x[90]+7*x[91]+2*x[92]+2*x[93]+x[94]+x[95]+7*x[96]+17*x[97]+13*x[98]+x[99]+3*x[100]+2*x[101]+2*x[102]+13*x[103]+x[104]+x[105]+2*x[106]+3*x[107]+4*x[108]+x[109]+x[110])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+8*x[71]+2*x[72]+4*x[74]+2*x[76]+6*x[77]+4*x[78]+10*x[79]+14*x[83]+11*x[84]+x[85]+10*x[86]+x[87]+x[89]+8*x[90]+15*x[92]+12*x[93]+10*x[94]+3*x[95]+x[96]+2*x[97]+x[98]+10*x[100]+11*x[101]+6*x[102]+2*x[103]+2*x[104]+3*x[105]+6*x[106]+2*x[107]+2*x[108]+x[109]+x[110])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+6*x[73]+7*x[75]+7*x[80]+5*x[81]+9*x[82]+5*x[85]+4*x[88]+17*x[89]+4*x[91]+x[92]+x[94]+7*x[96]+15*x[97]+8*x[98]+x[99]+2*x[100]+x[101]+10*x[103]+x[105]+x[106]+5*x[107]+4*x[108]+x[110])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+3*x[78]+6*x[79]+8*x[83]+8*x[84]+6*x[86]+x[87]+6*x[90]+11*x[92]+7*x[93]+7*x[94]+2*x[95]+x[98]+9*x[100]+10*x[101]+4*x[102]+2*x[103]+x[104]+3*x[105]+4*x[106]+x[108]+x[109]+2*x[110])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+3*x[85]+x[88]+11*x[89]+3*x[91]+4*x[96]+9*x[97]+7*x[98]+x[100]+10*x[103]+x[105]+x[106]+3*x[107]+4*x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+8*x[92]+4*x[93]+6*x[94]+7*x[100]+6*x[101]+2*x[102]+x[104]+4*x[105]+5*x[106]+x[107]+x[108]+x[110])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+5*x[98]+7*x[103]+2*x[107]+4*x[108]+x[109]+x[110])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+5*x[100]+5*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+x[109]+2*x[110]+x[111])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+3*x[107]+3*x[108]+x[111])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #7.2 : c = (1) |O_x_c^F| = 1/2*q^28*(q^2-q+1)*(1+q-q^3-q^4-q^5+q^7+q^8)*(q^3-1)*(q^4+1)*(q^6+1)^2*(q^12+1)*(q^14-1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,7,2] = (x[8]-x[9])*q^52 + (x[10]-x[11]-x[14]+x[18]-x[25])*q^51 + (-x[10]+x[11]+x[13]+x[16]-x[17]-x[18]+x[24]+x[28]-x[29]-x[33])*q^50 + (x[10]-x[11]+x[12]-x[13]-2*x[16]+2*x[17]+x[18]-2*x[24]+2*x[26]-x[28]+x[29]-x[34]+x[35]+x[37]-x[38])*q^49 + (-x[10]+x[11]+2*x[13]+x[14]-x[15]+2*x[16]-2*x[17]-2*x[18]+x[20]+x[22]+3*x[23]+2*x[24]-3*x[26]+x[27]+2*x[28]-2*x[29]+x[32]+3*x[34]-3*x[35]+x[38]+x[39]+x[43]-x[47]-x[48]+x[65])*q^48 + (x[10]-x[11]+x[12]-x[13]-x[14]+x[15]-3*x[16]+4*x[17]+2*x[18]-x[20]-x[22]-2*x[23]-3*x[24]-x[25]+6*x[26]-x[27]-3*x[28]+2*x[29]+x[30]-2*x[32]+x[33]-4*x[34]+4*x[35]+3*x[37]-3*x[38]-2*x[39]+3*x[40]+2*x[41]-x[42]-2*x[43]+x[45]+2*x[47]+x[48]+x[58]-x[62]-x[64])*q^47 + (x[11]-x[12]+2*x[13]-x[15]+4*x[16]-4*x[17]-2*x[18]-x[19]+x[20]+3*x[22]+4*x[23]+4*x[24]-6*x[26]+2*x[27]+6*x[28]-3*x[29]-x[30]+x[31]+5*x[32]-3*x[33]+7*x[34]-6*x[35]+x[36]-4*x[37]+3*x[38]+5*x[39]-4*x[40]-3*x[41]+2*x[42]+6*x[43]+2*x[44]-x[45]-4*x[47]-2*x[48]+x[49]+x[53]-x[57]-2*x[58]-x[59]+x[61]+2*x[62]+2*x[63]+x[64]-x[69])*q^46 + (x[12]-x[13]-x[14]+2*x[15]-3*x[16]+4*x[17]+3*x[18]-2*x[20]-3*x[22]-4*x[23]-3*x[24]-2*x[25]+11*x[26]-2*x[27]-6*x[28]+3*x[29]+4*x[30]-4*x[32]+x[33]-10*x[34]+11*x[35]-2*x[36]+6*x[37]-4*x[38]-6*x[39]+7*x[40]+8*x[41]-3*x[42]-8*x[43]-2*x[44]+6*x[45]+8*x[47]+4*x[48]-2*x[49]-x[53]-2*x[54]-x[55]-2*x[56]+4*x[57]+3*x[58]-x[61]-3*x[62]-4*x[63]-2*x[64]-x[65]-x[66]+x[67]+2*x[68]+x[69]-x[71])*q^45 + (x[13]+x[14]-x[15]+4*x[16]-3*x[17]-2*x[18]+2*x[20]+x[21]+4*x[22]+6*x[23]+5*x[24]+x[25]-9*x[26]+4*x[27]+8*x[28]-4*x[29]-3*x[30]+2*x[31]+9*x[32]-3*x[33]+13*x[34]-11*x[35]+2*x[36]-7*x[37]+6*x[38]+14*x[39]-8*x[40]-9*x[41]+7*x[42]+15*x[43]+6*x[44]-5*x[45]-11*x[47]-5*x[48]+3*x[49]-x[51]-x[52]+4*x[53]+3*x[54]+3*x[55]+x[56]-6*x[57]-7*x[58]-2*x[59]+2*x[60]+6*x[61]+8*x[62]+6*x[63]+2*x[64]+2*x[65]-x[67]-3*x[68]-2*x[69]+2*x[71]-x[73]+x[74]+x[79]-x[80])*q^44 + 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(x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #8 : A2+2*A1 dim = 146 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[4]+16*V[3]+27*V[2]+32*V[1]+24*V[0] Z_G(x)_0 = A1+B3 # Green Polys by orbit reps #8.1 : x[10] : A2+2*A1,[1] : phi[560,47] Qxi[E8,8,1] = (x[10])*q^47 + (x[11]+x[13]+x[16]+x[24])*q^46 + (x[12]+x[15]+2*x[17]+x[18]+2*x[26]+x[29]+x[35])*q^45 + (x[13]+x[14]+2*x[16]+x[20]+2*x[22]+3*x[23]+x[24]+x[27]+2*x[28]+2*x[32]+3*x[34]+x[38]+x[39]+x[43])*q^44 + 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(x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+3*x[85]+x[88]+11*x[89]+3*x[91]+4*x[96]+9*x[97]+7*x[98]+10*x[103]+3*x[107]+4*x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+8*x[92]+4*x[93]+6*x[94]+7*x[100]+6*x[101]+2*x[102]+x[104]+4*x[105]+5*x[106]+x[110])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+5*x[98]+7*x[103]+2*x[107]+4*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+5*x[100]+5*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+x[109]+2*x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+3*x[107]+3*x[108]+x[111])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #8.1 : c = () |O_x_c^F| = q^32*(q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^6+1)^2*(q^12+1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,8,1] = (x[10])*q^47 + (x[11]+x[13]+x[16]+x[24])*q^46 + (x[12]+x[15]+2*x[17]+x[18]+2*x[26]+x[29]+x[35])*q^45 + (x[13]+x[14]+2*x[16]+x[20]+2*x[22]+3*x[23]+x[24]+x[27]+2*x[28]+2*x[32]+3*x[34]+x[38]+x[39]+x[43])*q^44 + (x[12]+x[15]+3*x[17]+x[18]+6*x[26]+x[29]+2*x[30]+2*x[33]+4*x[35]+3*x[37]+4*x[40]+3*x[41]+x[45]+2*x[47]+x[48]+x[58])*q^43 + 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(x[16]+x[20]+3*x[22]+3*x[23]+2*x[24]+x[25]+3*x[27]+6*x[28]+3*x[31]+8*x[32]+16*x[34]+5*x[36]+6*x[38]+17*x[39]+13*x[42]+26*x[43]+15*x[44]+x[46]+7*x[49]+3*x[50]+18*x[53]+11*x[54]+13*x[55]+5*x[56]+8*x[60]+17*x[61]+19*x[62]+17*x[63]+5*x[64]+5*x[65]+7*x[70]+14*x[71]+x[72]+3*x[74]+x[76]+5*x[79]+5*x[83]+x[84]+x[86])*q^38 + (x[17]+7*x[26]+3*x[29]+5*x[30]+3*x[33]+13*x[35]+12*x[37]+16*x[40]+23*x[41]+21*x[45]+26*x[47]+8*x[48]+13*x[51]+9*x[52]+35*x[57]+28*x[58]+2*x[59]+16*x[67]+21*x[68]+7*x[69]+8*x[73]+15*x[75]+10*x[80]+x[81]+7*x[82]+2*x[85]+2*x[88]+2*x[89])*q^37 + (x[20]+x[21]+x[22]+2*x[23]+2*x[24]+3*x[27]+4*x[28]+4*x[31]+6*x[32]+14*x[34]+4*x[36]+7*x[38]+19*x[39]+17*x[42]+29*x[43]+16*x[44]+x[46]+11*x[49]+3*x[50]+26*x[53]+17*x[54]+21*x[55]+6*x[56]+17*x[60]+27*x[61]+30*x[62]+25*x[63]+7*x[64]+8*x[65]+15*x[70]+29*x[71]+3*x[72]+7*x[74]+4*x[76]+2*x[77]+x[78]+18*x[79]+14*x[83]+4*x[84]+5*x[86]+x[90]+2*x[93]+2*x[94]+x[95])*q^36 + 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(x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+6*x[92]+3*x[93]+3*x[94]+x[95]+7*x[100]+6*x[101]+2*x[102]+x[104]+3*x[105]+4*x[106]+x[109]+3*x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+3*x[98]+6*x[103]+3*x[107]+4*x[108]+x[111])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+4*x[100]+3*x[101]+2*x[102]+x[104]+3*x[105]+3*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+2*x[107]+3*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]+x[111])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #9.1 : c = () |O_x_c^F| = q^50*(q^4-q^2+1)*(1-q+q^3-q^4+q^5-q^7+q^8)*(1+q-q^3-q^4-q^5+q^7+q^8)*(q^2-q+1)^2*(q^2+q+1)^2*(q^6+1)*(q^12+1)*(q^14-1)*(q^18-1)*(q^20-1) Qxc[E8,9,1] = (x[11])*q^46 + (x[17]+x[18]+x[29])*q^45 + (x[16]+x[20]+x[23]+x[24]+x[28]+x[34]+x[38])*q^44 + (x[17]+x[18]+2*x[26]+x[29]+2*x[35]+2*x[37]+x[40]+x[47]+x[48])*q^43 + (x[16]+x[20]+x[22]+x[23]+2*x[24]+x[25]+3*x[28]+x[32]+3*x[34]+2*x[38]+2*x[39]+x[42]+3*x[43]+x[49]+x[62]+x[63]+x[64])*q^42 + (x[17]+2*x[18]+x[19]+3*x[26]+2*x[29]+x[30]+x[33]+5*x[35]+4*x[37]+3*x[40]+2*x[41]+2*x[45]+5*x[47]+3*x[48]+2*x[57]+2*x[58]+x[59]+x[68]+x[69])*q^41 + (x[16]+x[20]+x[22]+2*x[23]+3*x[24]+x[25]+x[27]+4*x[28]+x[31]+2*x[32]+6*x[34]+5*x[38]+5*x[39]+3*x[42]+8*x[43]+2*x[44]+3*x[49]+x[53]+2*x[54]+x[55]+x[56]+x[60]+3*x[61]+5*x[62]+4*x[63]+2*x[64]+2*x[65]+x[66]+2*x[71]+x[74])*q^40 + (x[17]+x[18]+5*x[26]+4*x[29]+x[30]+x[33]+8*x[35]+7*x[37]+6*x[40]+6*x[41]+6*x[45]+11*x[47]+6*x[48]+x[51]+7*x[57]+8*x[58]+x[59]+2*x[67]+6*x[68]+3*x[69]+2*x[73]+x[75]+x[80]+x[82])*q^39 + (x[16]+x[20]+x[22]+2*x[23]+3*x[24]+x[25]+x[27]+5*x[28]+x[31]+3*x[32]+10*x[34]+x[36]+7*x[38]+8*x[39]+6*x[42]+16*x[43]+5*x[44]+6*x[49]+6*x[53]+4*x[54]+4*x[55]+2*x[56]+4*x[60]+7*x[61]+12*x[62]+10*x[63]+6*x[64]+4*x[65]+2*x[70]+8*x[71]+3*x[74]+2*x[79]+3*x[83]+x[84])*q^38 + (x[17]+x[18]+5*x[26]+4*x[29]+2*x[30]+2*x[33]+11*x[35]+10*x[37]+9*x[40]+10*x[41]+11*x[45]+18*x[47]+10*x[48]+3*x[51]+2*x[52]+17*x[57]+17*x[58]+2*x[59]+7*x[67]+14*x[68]+8*x[69]+6*x[73]+6*x[75]+4*x[80]+5*x[82]+2*x[85]+x[88]+x[89])*q^37 + (x[20]+x[22]+2*x[23]+3*x[24]+x[25]+2*x[27]+5*x[28]+2*x[31]+4*x[32]+12*x[34]+x[36]+9*x[38]+12*x[39]+10*x[42]+22*x[43]+7*x[44]+10*x[49]+11*x[53]+9*x[54]+9*x[55]+4*x[56]+10*x[60]+15*x[61]+22*x[62]+18*x[63]+9*x[64]+7*x[65]+5*x[70]+18*x[71]+x[72]+8*x[74]+x[76]+x[77]+x[78]+9*x[79]+9*x[83]+3*x[84]+2*x[86]+x[93]+2*x[94]+x[95])*q^36 + (5*x[26]+4*x[29]+2*x[30]+2*x[33]+12*x[35]+11*x[37]+11*x[40]+14*x[41]+16*x[45]+25*x[47]+13*x[48]+5*x[51]+3*x[52]+29*x[57]+26*x[58]+3*x[59]+15*x[67]+27*x[68]+13*x[69]+12*x[73]+14*x[75]+11*x[80]+2*x[81]+14*x[82]+5*x[85]+2*x[88]+5*x[89]+x[97]+x[98])*q^35 + (x[22]+x[23]+2*x[24]+x[25]+x[27]+4*x[28]+2*x[31]+4*x[32]+12*x[34]+2*x[36]+9*x[38]+13*x[39]+13*x[42]+27*x[43]+10*x[44]+13*x[49]+x[50]+19*x[53]+12*x[54]+13*x[55]+6*x[56]+17*x[60]+21*x[61]+32*x[62]+26*x[63]+12*x[64]+8*x[65]+x[66]+11*x[70]+33*x[71]+2*x[72]+14*x[74]+3*x[76]+2*x[77]+2*x[78]+18*x[79]+19*x[83]+10*x[84]+7*x[86]+2*x[90]+2*x[92]+3*x[93]+5*x[94]+2*x[95])*q^34 + (3*x[26]+3*x[29]+2*x[30]+2*x[33]+11*x[35]+10*x[37]+11*x[40]+15*x[41]+19*x[45]+28*x[47]+14*x[48]+9*x[51]+6*x[52]+39*x[57]+35*x[58]+4*x[59]+24*x[67]+39*x[68]+19*x[69]+20*x[73]+25*x[75]+20*x[80]+4*x[81]+26*x[82]+9*x[85]+5*x[88]+14*x[89]+x[91]+4*x[97]+4*x[98]+x[99])*q^33 + (x[23]+x[24]+x[27]+2*x[28]+2*x[31]+3*x[32]+10*x[34]+2*x[36]+8*x[38]+12*x[39]+14*x[42]+26*x[43]+10*x[44]+x[46]+15*x[49]+2*x[50]+23*x[53]+17*x[54]+18*x[55]+8*x[56]+23*x[60]+27*x[61]+38*x[62]+30*x[63]+13*x[64]+11*x[65]+x[66]+17*x[70]+46*x[71]+4*x[72]+20*x[74]+5*x[76]+6*x[77]+4*x[78]+30*x[79]+33*x[83]+17*x[84]+13*x[86]+4*x[90]+6*x[92]+9*x[93]+11*x[94]+3*x[95]+x[100]+x[101]+x[102])*q^32 + (2*x[26]+x[29]+x[30]+x[33]+8*x[35]+8*x[37]+9*x[40]+13*x[41]+18*x[45]+26*x[47]+13*x[48]+11*x[51]+8*x[52]+45*x[57]+38*x[58]+4*x[59]+31*x[67]+48*x[68]+22*x[69]+28*x[73]+35*x[75]+29*x[80]+9*x[81]+39*x[82]+14*x[85]+8*x[88]+26*x[89]+2*x[91]+x[96]+10*x[97]+8*x[98]+x[99]+x[103])*q^31 + (2*x[28]+x[31]+2*x[32]+6*x[34]+2*x[36]+5*x[38]+9*x[39]+13*x[42]+22*x[43]+9*x[44]+x[46]+14*x[49]+2*x[50]+25*x[53]+16*x[54]+18*x[55]+8*x[56]+27*x[60]+26*x[61]+38*x[62]+30*x[63]+13*x[64]+9*x[65]+x[66]+23*x[70]+56*x[71]+5*x[72]+24*x[74]+8*x[76]+8*x[77]+6*x[78]+40*x[79]+44*x[83]+27*x[84]+21*x[86]+x[87]+9*x[90]+12*x[92]+13*x[93]+18*x[94]+5*x[95]+4*x[100]+4*x[101]+2*x[102])*q^30 + (x[30]+x[33]+5*x[35]+5*x[37]+6*x[40]+10*x[41]+15*x[45]+21*x[47]+10*x[48]+10*x[51]+7*x[52]+42*x[57]+34*x[58]+4*x[59]+34*x[67]+49*x[68]+23*x[69]+31*x[73]+43*x[75]+35*x[80]+14*x[81]+49*x[82]+19*x[85]+11*x[88]+39*x[89]+4*x[91]+2*x[96]+16*x[97]+14*x[98]+x[99]+4*x[103]+x[107])*q^29 + (x[31]+x[32]+3*x[34]+x[36]+3*x[38]+6*x[39]+10*x[42]+14*x[43]+6*x[44]+x[46]+12*x[49]+2*x[50]+21*x[53]+15*x[54]+16*x[55]+7*x[56]+26*x[60]+25*x[61]+32*x[62]+25*x[63]+10*x[64]+8*x[65]+x[66]+23*x[70]+55*x[71]+7*x[72]+26*x[74]+8*x[76]+13*x[77]+8*x[78]+45*x[79]+51*x[83]+32*x[84]+28*x[86]+2*x[87]+13*x[90]+19*x[92]+20*x[93]+25*x[94]+6*x[95]+7*x[100]+7*x[101]+4*x[102]+2*x[106])*q^28 + (2*x[35]+2*x[37]+3*x[40]+6*x[41]+10*x[45]+14*x[47]+6*x[48]+9*x[51]+6*x[52]+33*x[57]+27*x[58]+3*x[59]+31*x[67]+44*x[68]+19*x[69]+31*x[73]+42*x[75]+36*x[80]+17*x[81]+51*x[82]+21*x[85]+12*x[88]+49*x[89]+7*x[91]+5*x[96]+24*x[97]+19*x[98]+x[99]+7*x[103]+2*x[107])*q^27 + (x[34]+x[36]+x[38]+2*x[39]+6*x[42]+8*x[43]+4*x[44]+8*x[49]+x[50]+17*x[53]+10*x[54]+12*x[55]+4*x[56]+21*x[60]+17*x[61]+22*x[62]+18*x[63]+8*x[64]+5*x[65]+22*x[70]+49*x[71]+6*x[72]+22*x[74]+9*x[76]+13*x[77]+9*x[78]+41*x[79]+51*x[83]+35*x[84]+29*x[86]+2*x[87]+17*x[90]+25*x[92]+23*x[93]+27*x[94]+7*x[95]+12*x[100]+13*x[101]+6*x[102]+3*x[106])*q^26 + (x[37]+x[40]+3*x[41]+5*x[45]+7*x[47]+3*x[48]+6*x[51]+4*x[52]+22*x[57]+18*x[58]+x[59]+24*x[67]+32*x[68]+15*x[69]+27*x[73]+37*x[75]+31*x[80]+17*x[81]+46*x[82]+21*x[85]+12*x[88]+51*x[89]+8*x[91]+8*x[96]+29*x[97]+21*x[98]+x[99]+12*x[103]+4*x[107]+x[108])*q^25 + (x[39]+3*x[42]+3*x[43]+x[44]+x[46]+5*x[49]+x[50]+9*x[53]+7*x[54]+8*x[55]+3*x[56]+15*x[60]+11*x[61]+13*x[62]+10*x[63]+4*x[64]+4*x[65]+16*x[70]+35*x[71]+6*x[72]+18*x[74]+6*x[76]+14*x[77]+9*x[78]+35*x[79]+42*x[83]+31*x[84]+27*x[86]+3*x[87]+16*x[90]+28*x[92]+24*x[93]+28*x[94]+6*x[95]+15*x[100]+16*x[101]+8*x[102]+x[104]+x[105]+5*x[106]+x[109])*q^24 + (x[41]+2*x[45]+3*x[47]+x[48]+3*x[51]+2*x[52]+12*x[57]+9*x[58]+x[59]+16*x[67]+21*x[68]+9*x[69]+19*x[73]+26*x[75]+23*x[80]+16*x[81]+37*x[82]+17*x[85]+9*x[88]+46*x[89]+9*x[91]+9*x[96]+29*x[97]+22*x[98]+x[99]+16*x[103]+5*x[107]+2*x[108])*q^23 + (x[42]+x[43]+x[44]+2*x[49]+5*x[53]+2*x[54]+3*x[55]+x[56]+9*x[60]+5*x[61]+6*x[62]+5*x[63]+2*x[64]+x[65]+11*x[70]+23*x[71]+4*x[72]+12*x[74]+5*x[76]+10*x[77]+7*x[78]+23*x[79]+30*x[83]+26*x[84]+22*x[86]+2*x[87]+16*x[90]+27*x[92]+19*x[93]+23*x[94]+6*x[95]+17*x[100]+18*x[101]+7*x[102]+x[104]+2*x[105]+7*x[106]+x[109])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+5*x[57]+4*x[58]+9*x[67]+11*x[68]+5*x[69]+12*x[73]+15*x[75]+15*x[80]+11*x[81]+25*x[82]+12*x[85]+7*x[88]+36*x[89]+9*x[91]+10*x[96]+26*x[97]+19*x[98]+2*x[99]+17*x[103]+6*x[107]+4*x[108])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+4*x[60]+2*x[61]+3*x[62]+2*x[63]+x[65]+5*x[70]+11*x[71]+3*x[72]+7*x[74]+2*x[76]+8*x[77]+6*x[78]+14*x[79]+19*x[83]+17*x[84]+14*x[86]+2*x[87]+11*x[90]+23*x[92]+17*x[93]+17*x[94]+4*x[95]+15*x[100]+16*x[101]+8*x[102]+2*x[104]+3*x[105]+8*x[106]+2*x[109]+x[110])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+4*x[67]+5*x[68]+2*x[69]+7*x[73]+8*x[75]+8*x[80]+7*x[81]+14*x[82]+8*x[85]+4*x[88]+24*x[89]+6*x[91]+9*x[96]+21*x[97]+14*x[98]+x[99]+16*x[103]+6*x[107]+5*x[108])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+6*x[71]+x[72]+3*x[74]+2*x[76]+4*x[77]+4*x[78]+7*x[79]+10*x[83]+11*x[84]+8*x[86]+x[87]+8*x[90]+16*x[92]+9*x[93]+11*x[94]+3*x[95]+14*x[100]+14*x[101]+5*x[102]+x[104]+4*x[105]+7*x[106]+x[109]+2*x[110])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+3*x[73]+4*x[75]+4*x[80]+4*x[81]+8*x[82]+4*x[85]+2*x[88]+14*x[89]+4*x[91]+6*x[96]+13*x[97]+10*x[98]+x[99]+14*x[103]+5*x[107]+6*x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+2*x[78]+4*x[79]+5*x[83]+5*x[84]+5*x[86]+x[87]+4*x[90]+10*x[92]+6*x[93]+7*x[94]+x[95]+10*x[100]+8*x[101]+4*x[102]+2*x[104]+5*x[105]+7*x[106]+x[109]+2*x[110])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+3*x[85]+x[88]+8*x[89]+3*x[91]+4*x[96]+8*x[97]+6*x[98]+9*x[103]+4*x[107]+6*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+6*x[92]+3*x[93]+3*x[94]+x[95]+7*x[100]+6*x[101]+2*x[102]+x[104]+3*x[105]+4*x[106]+x[109]+3*x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+3*x[98]+6*x[103]+3*x[107]+4*x[108]+x[111])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+4*x[100]+3*x[101]+2*x[102]+x[104]+3*x[105]+3*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+2*x[107]+3*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]+x[111])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #10 : A2+3*A1 dim = 154 A(O) = 1 , |A(O)_0| = 1 g_s = 7*V[4]+14*V[3]+28*V[2]+28*V[1]+17*V[0] Z_G(x)_0 = A1+G2 # Green Polys by orbit reps #10.1 : x[12] : A2+3*A1,[1] : phi[400,43] Qxi[E8,10,1] = (x[12])*q^43 + (x[13]+x[22]+x[23])*q^42 + (x[17]+2*x[26]+x[30]+x[40])*q^41 + (x[16]+x[21]+x[22]+x[23]+x[24]+x[27]+x[28]+x[31]+2*x[32]+x[34]+2*x[39]+x[43]+x[44])*q^40 + (x[15]+x[18]+3*x[26]+3*x[30]+3*x[35]+x[37]+2*x[40]+3*x[41]+3*x[45]+x[47]+x[48]+x[57])*q^39 + (x[16]+2*x[22]+x[23]+x[24]+x[27]+2*x[28]+x[31]+4*x[32]+3*x[34]+x[36]+x[38]+5*x[39]+2*x[42]+5*x[43]+4*x[44]+2*x[53]+x[54]+x[55]+x[60]+2*x[61]+2*x[62]+x[63])*q^38 + (x[17]+4*x[26]+x[29]+3*x[30]+x[33]+4*x[35]+3*x[37]+6*x[40]+7*x[41]+6*x[45]+5*x[47]+x[48]+3*x[51]+2*x[52]+6*x[57]+4*x[58]+x[67]+2*x[68]+x[75])*q^37 + (x[20]+x[21]+x[22]+2*x[23]+x[24]+2*x[27]+2*x[28]+2*x[31]+3*x[32]+7*x[34]+2*x[36]+x[38]+8*x[39]+4*x[42]+9*x[43]+7*x[44]+x[46]+2*x[49]+2*x[50]+7*x[53]+5*x[54]+6*x[55]+2*x[56]+3*x[60]+6*x[61]+5*x[62]+6*x[63]+x[64]+2*x[65]+2*x[70]+3*x[71]+x[76]+x[79]+x[83])*q^36 + (3*x[26]+x[29]+3*x[30]+x[33]+6*x[35]+5*x[37]+7*x[40]+11*x[41]+10*x[45]+9*x[47]+3*x[48]+6*x[51]+4*x[52]+15*x[57]+10*x[58]+5*x[67]+6*x[68]+x[69]+2*x[73]+6*x[75]+3*x[80]+2*x[82]+x[88])*q^35 + (x[22]+x[24]+x[27]+2*x[28]+2*x[31]+4*x[32]+5*x[34]+2*x[36]+3*x[38]+9*x[39]+8*x[42]+14*x[43]+9*x[44]+3*x[49]+x[50]+13*x[53]+6*x[54]+9*x[55]+x[56]+8*x[60]+12*x[61]+13*x[62]+9*x[63]+2*x[64]+2*x[65]+7*x[70]+10*x[71]+x[72]+2*x[74]+2*x[76]+x[77]+7*x[79]+4*x[83]+x[84]+2*x[86])*q^34 + (2*x[26]+x[29]+2*x[30]+6*x[35]+3*x[37]+6*x[40]+11*x[41]+14*x[45]+13*x[47]+5*x[48]+8*x[51]+4*x[52]+23*x[57]+13*x[58]+14*x[67]+15*x[68]+5*x[69]+3*x[73]+14*x[75]+6*x[80]+3*x[81]+8*x[82]+x[85]+3*x[89])*q^33 + (x[23]+x[27]+x[28]+2*x[31]+2*x[32]+5*x[34]+x[36]+3*x[38]+8*x[39]+8*x[42]+13*x[43]+8*x[44]+x[46]+5*x[49]+3*x[50]+16*x[53]+10*x[54]+12*x[55]+3*x[56]+13*x[60]+17*x[61]+17*x[62]+13*x[63]+3*x[64]+3*x[65]+12*x[70]+19*x[71]+3*x[72]+5*x[74]+3*x[76]+3*x[77]+15*x[79]+10*x[83]+4*x[84]+7*x[86]+x[90]+x[92]+x[93]+2*x[94])*q^32 + (x[26]+x[30]+x[33]+3*x[35]+5*x[37]+6*x[40]+9*x[41]+11*x[45]+12*x[47]+4*x[48]+10*x[51]+7*x[52]+26*x[57]+19*x[58]+x[59]+17*x[67]+20*x[68]+6*x[69]+10*x[73]+22*x[75]+15*x[80]+6*x[81]+14*x[82]+2*x[85]+4*x[88]+9*x[89]+x[91]+2*x[97]+x[98])*q^31 + (x[28]+x[31]+x[32]+3*x[34]+2*x[36]+x[38]+5*x[39]+7*x[42]+12*x[43]+7*x[44]+x[46]+6*x[49]+2*x[50]+17*x[53]+10*x[54]+13*x[55]+5*x[56]+14*x[60]+14*x[61]+16*x[62]+16*x[63]+4*x[64]+5*x[65]+16*x[70]+26*x[71]+3*x[72]+6*x[74]+7*x[76]+5*x[77]+2*x[78]+21*x[79]+20*x[83]+9*x[84]+11*x[86]+x[87]+5*x[90]+3*x[92]+6*x[93]+3*x[94]+x[95]+x[101]+x[102])*q^30 + (x[30]+3*x[35]+2*x[37]+3*x[40]+6*x[41]+9*x[45]+10*x[47]+4*x[48]+8*x[51]+6*x[52]+25*x[57]+17*x[58]+x[59]+19*x[67]+23*x[68]+7*x[69]+13*x[73]+26*x[75]+18*x[80]+10*x[81]+21*x[82]+5*x[85]+5*x[88]+18*x[89]+2*x[91]+x[96]+6*x[97]+2*x[98])*q^29 + (x[31]+x[32]+x[34]+2*x[38]+4*x[39]+6*x[42]+7*x[43]+4*x[44]+x[46]+5*x[49]+2*x[50]+13*x[53]+8*x[54]+10*x[55]+2*x[56]+16*x[60]+15*x[61]+17*x[62]+11*x[63]+3*x[64]+3*x[65]+15*x[70]+27*x[71]+5*x[72]+10*x[74]+5*x[76]+8*x[77]+2*x[78]+26*x[79]+22*x[83]+13*x[84]+17*x[86]+2*x[87]+7*x[90]+8*x[92]+8*x[93]+9*x[94]+x[95]+x[100]+3*x[101]+x[102])*q^28 + (x[35]+x[37]+2*x[40]+4*x[41]+7*x[45]+7*x[47]+3*x[48]+6*x[51]+3*x[52]+19*x[57]+12*x[58]+19*x[67]+22*x[68]+9*x[69]+12*x[73]+26*x[75]+18*x[80]+12*x[81]+26*x[82]+6*x[85]+4*x[88]+24*x[89]+5*x[91]+2*x[96]+8*x[97]+7*x[98]+3*x[103])*q^27 + (x[34]+x[36]+x[39]+3*x[42]+5*x[43]+3*x[44]+4*x[49]+x[50]+11*x[53]+6*x[54]+7*x[55]+2*x[56]+12*x[60]+10*x[61]+11*x[62]+10*x[63]+3*x[64]+2*x[65]+14*x[70]+25*x[71]+4*x[72]+9*x[74]+6*x[76]+8*x[77]+3*x[78]+23*x[79]+25*x[83]+16*x[84]+18*x[86]+2*x[87]+10*x[90]+12*x[92]+10*x[93]+11*x[94]+x[95]+3*x[100]+6*x[101]+2*x[102]+x[106])*q^26 + (x[37]+x[40]+2*x[41]+3*x[45]+4*x[47]+x[48]+5*x[51]+4*x[52]+13*x[57]+11*x[58]+x[59]+13*x[67]+17*x[68]+5*x[69]+14*x[73]+22*x[75]+18*x[80]+11*x[81]+22*x[82]+8*x[85]+7*x[88]+27*x[89]+5*x[91]+5*x[96]+14*x[97]+7*x[98]+4*x[103]+x[107])*q^25 + (x[39]+2*x[42]+2*x[43]+x[44]+x[46]+3*x[49]+x[50]+6*x[53]+5*x[54]+6*x[55]+2*x[56]+9*x[60]+7*x[61]+7*x[62]+6*x[63]+2*x[64]+3*x[65]+10*x[70]+19*x[71]+3*x[72]+7*x[74]+5*x[76]+9*x[77]+5*x[78]+20*x[79]+23*x[83]+15*x[84]+15*x[86]+2*x[87]+10*x[90]+13*x[92]+14*x[93]+11*x[94]+3*x[95]+5*x[100]+9*x[101]+5*x[102]+x[104]+x[106])*q^24 + (x[41]+2*x[45]+2*x[47]+x[48]+2*x[51]+x[52]+9*x[57]+5*x[58]+10*x[67]+12*x[68]+5*x[69]+10*x[73]+17*x[75]+13*x[80]+10*x[81]+20*x[82]+7*x[85]+5*x[88]+25*x[89]+5*x[91]+6*x[96]+15*x[97]+9*x[98]+7*x[103]+2*x[107])*q^23 + (x[42]+x[43]+x[44]+x[49]+4*x[53]+x[54]+2*x[55]+7*x[60]+4*x[61]+5*x[62]+3*x[63]+x[64]+8*x[70]+14*x[71]+3*x[72]+7*x[74]+3*x[76]+6*x[77]+3*x[78]+15*x[79]+16*x[83]+14*x[84]+14*x[86]+2*x[87]+9*x[90]+15*x[92]+9*x[93]+12*x[94]+x[95]+7*x[100]+10*x[101]+3*x[102]+x[104]+x[105]+3*x[106])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+7*x[67]+8*x[68]+3*x[69]+6*x[73]+11*x[75]+9*x[80]+8*x[81]+16*x[82]+6*x[85]+3*x[88]+21*x[89]+6*x[91]+5*x[96]+13*x[97]+10*x[98]+9*x[103]+x[107]+2*x[108])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+8*x[71]+2*x[72]+4*x[74]+2*x[76]+6*x[77]+3*x[78]+10*x[79]+13*x[83]+10*x[84]+10*x[86]+x[87]+7*x[90]+13*x[92]+10*x[93]+9*x[94]+2*x[95]+7*x[100]+9*x[101]+4*x[102]+x[104]+2*x[105]+4*x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+6*x[73]+7*x[75]+7*x[80]+5*x[81]+9*x[82]+4*x[85]+4*x[88]+16*x[89]+4*x[91]+6*x[96]+13*x[97]+7*x[98]+x[99]+8*x[103]+3*x[107]+2*x[108])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+3*x[78]+6*x[79]+8*x[83]+8*x[84]+6*x[86]+x[87]+6*x[90]+10*x[92]+7*x[93]+6*x[94]+2*x[95]+7*x[100]+9*x[101]+4*x[102]+x[104]+2*x[105]+3*x[106]+x[109]+x[110])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+3*x[85]+x[88]+11*x[89]+3*x[91]+4*x[96]+9*x[97]+6*x[98]+8*x[103]+3*x[107]+3*x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+8*x[92]+4*x[93]+6*x[94]+6*x[100]+6*x[101]+2*x[102]+x[104]+3*x[105]+4*x[106]+x[110])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+5*x[98]+7*x[103]+x[107]+3*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+5*x[100]+5*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+3*x[107]+3*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #10.1 : c = () |O_x_c^F| = q^36*(q^2+1)*(q^4+1)*(q^6+1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,10,1] = (x[12])*q^43 + (x[13]+x[22]+x[23])*q^42 + (x[17]+2*x[26]+x[30]+x[40])*q^41 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(x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+7*x[67]+8*x[68]+3*x[69]+6*x[73]+11*x[75]+9*x[80]+8*x[81]+16*x[82]+6*x[85]+3*x[88]+21*x[89]+6*x[91]+5*x[96]+13*x[97]+10*x[98]+9*x[103]+x[107]+2*x[108])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+8*x[71]+2*x[72]+4*x[74]+2*x[76]+6*x[77]+3*x[78]+10*x[79]+13*x[83]+10*x[84]+10*x[86]+x[87]+7*x[90]+13*x[92]+10*x[93]+9*x[94]+2*x[95]+7*x[100]+9*x[101]+4*x[102]+x[104]+2*x[105]+4*x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+6*x[73]+7*x[75]+7*x[80]+5*x[81]+9*x[82]+4*x[85]+4*x[88]+16*x[89]+4*x[91]+6*x[96]+13*x[97]+7*x[98]+x[99]+8*x[103]+3*x[107]+2*x[108])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+3*x[78]+6*x[79]+8*x[83]+8*x[84]+6*x[86]+x[87]+6*x[90]+10*x[92]+7*x[93]+6*x[94]+2*x[95]+7*x[100]+9*x[101]+4*x[102]+x[104]+2*x[105]+3*x[106]+x[109]+x[110])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+3*x[85]+x[88]+11*x[89]+3*x[91]+4*x[96]+9*x[97]+6*x[98]+8*x[103]+3*x[107]+3*x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+8*x[92]+4*x[93]+6*x[94]+6*x[100]+6*x[101]+2*x[102]+x[104]+3*x[105]+4*x[106]+x[110])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+5*x[98]+7*x[103]+x[107]+3*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+5*x[100]+5*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+3*x[107]+3*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #11.2 : x[14] : 2*A2,[1, 1] : phi[300,44] Qxi[E8,11,2] = (x[14])*q^42 + (x[17]+x[33])*q^41 + (x[16]+x[28]+x[34]+x[36])*q^40 + (x[15]+x[18]+x[26]+2*x[35]+x[41]+x[47])*q^39 + (x[16]+x[24]+x[27]+x[28]+2*x[32]+x[34]+2*x[38]+2*x[39]+2*x[42]+x[43]+x[61]+x[62])*q^38 + (x[17]+2*x[26]+x[29]+x[30]+x[33]+3*x[35]+x[37]+x[40]+3*x[41]+x[45]+3*x[47]+x[48]+2*x[57]+x[58]+x[67]+x[69])*q^37 + (x[20]+x[22]+x[23]+x[25]+x[27]+2*x[28]+x[32]+5*x[34]+2*x[36]+x[38]+3*x[39]+3*x[42]+4*x[43]+2*x[44]+x[49]+2*x[53]+x[54]+2*x[55]+x[56]+x[61]+2*x[62]+3*x[63]+x[64]+x[65]+x[70]+2*x[71])*q^36 + (2*x[26]+x[29]+x[30]+2*x[33]+3*x[35]+4*x[37]+4*x[40]+6*x[41]+2*x[45]+6*x[47]+x[48]+2*x[51]+2*x[52]+5*x[57]+6*x[58]+x[59]+2*x[67]+2*x[68]+x[69]+2*x[73]+x[75]+2*x[80])*q^35 + (x[24]+x[27]+x[28]+x[31]+2*x[32]+4*x[34]+x[36]+3*x[38]+5*x[39]+5*x[42]+7*x[43]+3*x[44]+3*x[49]+x[50]+5*x[53]+4*x[54]+4*x[55]+2*x[56]+x[60]+6*x[61]+6*x[62]+5*x[63]+2*x[64]+2*x[65]+2*x[70]+5*x[71]+x[72]+x[74]+2*x[79]+2*x[83]+x[93])*q^34 + (x[26]+x[29]+x[30]+5*x[35]+x[37]+2*x[40]+6*x[41]+7*x[45]+9*x[47]+4*x[48]+3*x[51]+x[52]+11*x[57]+7*x[58]+8*x[67]+7*x[68]+5*x[69]+2*x[73]+4*x[75]+3*x[80]+x[81]+3*x[82]+x[85]+x[89])*q^33 + (x[28]+x[31]+x[32]+3*x[34]+x[36]+3*x[38]+4*x[39]+6*x[42]+8*x[43]+4*x[44]+3*x[49]+8*x[53]+3*x[54]+5*x[55]+6*x[60]+8*x[61]+12*x[62]+6*x[63]+3*x[64]+x[65]+6*x[70]+12*x[71]+2*x[72]+4*x[74]+6*x[79]+3*x[83]+2*x[84]+3*x[86]+x[90]+2*x[94])*q^32 + (x[33]+2*x[35]+3*x[37]+3*x[40]+5*x[41]+5*x[45]+8*x[47]+3*x[48]+4*x[51]+3*x[52]+14*x[57]+11*x[58]+x[59]+10*x[67]+11*x[68]+6*x[69]+6*x[73]+9*x[75]+7*x[80]+3*x[81]+8*x[82]+2*x[85]+4*x[89]+x[98])*q^31 + (2*x[34]+x[36]+x[38]+2*x[39]+4*x[42]+6*x[43]+2*x[44]+x[46]+5*x[49]+2*x[50]+8*x[53]+7*x[54]+7*x[55]+5*x[56]+6*x[60]+8*x[61]+9*x[62]+10*x[63]+3*x[64]+4*x[65]+x[66]+7*x[70]+15*x[71]+2*x[72]+4*x[74]+2*x[76]+2*x[77]+2*x[78]+11*x[79]+11*x[83]+4*x[84]+4*x[86]+x[87]+2*x[90]+x[92]+4*x[93]+3*x[94]+x[95])*q^30 + (x[35]+x[37]+x[40]+2*x[41]+3*x[45]+6*x[47]+2*x[48]+4*x[51]+4*x[52]+12*x[57]+11*x[58]+2*x[59]+10*x[67]+13*x[68]+5*x[69]+10*x[73]+12*x[75]+12*x[80]+4*x[81]+10*x[82]+4*x[85]+4*x[88]+9*x[89]+x[96]+3*x[97]+x[98]+x[99])*q^29 + (x[38]+x[39]+3*x[42]+3*x[43]+x[44]+3*x[49]+6*x[53]+3*x[54]+4*x[55]+x[56]+7*x[60]+6*x[61]+9*x[62]+6*x[63]+3*x[64]+x[65]+8*x[70]+17*x[71]+2*x[72]+6*x[74]+3*x[76]+3*x[77]+2*x[78]+12*x[79]+13*x[83]+8*x[84]+8*x[86]+5*x[90]+3*x[92]+5*x[93]+5*x[94]+2*x[95]+x[100]+x[101])*q^28 + (x[41]+2*x[45]+3*x[47]+2*x[48]+x[51]+8*x[57]+5*x[58]+10*x[67]+11*x[68]+7*x[69]+7*x[73]+12*x[75]+9*x[80]+6*x[81]+15*x[82]+5*x[85]+x[88]+13*x[89]+2*x[91]+x[96]+4*x[97]+5*x[98]+x[103])*q^27 + (x[42]+x[43]+2*x[49]+3*x[53]+2*x[54]+2*x[55]+x[56]+5*x[60]+4*x[61]+5*x[62]+3*x[63]+2*x[64]+x[65]+5*x[70]+12*x[71]+3*x[72]+7*x[74]+x[76]+4*x[77]+2*x[78]+12*x[79]+12*x[83]+8*x[84]+9*x[86]+2*x[87]+4*x[90]+7*x[92]+6*x[93]+9*x[94]+2*x[100]+2*x[101]+x[106])*q^26 + (x[47]+x[51]+x[52]+3*x[57]+4*x[58]+x[59]+5*x[67]+7*x[68]+3*x[69]+7*x[73]+8*x[75]+8*x[80]+5*x[81]+11*x[82]+6*x[85]+3*x[88]+14*x[89]+2*x[91]+2*x[96]+7*x[97]+5*x[98]+3*x[103])*q^25 + (x[49]+x[53]+x[54]+x[55]+x[56]+2*x[60]+x[61]+x[62]+2*x[63]+x[64]+x[65]+3*x[70]+8*x[71]+x[72]+3*x[74]+2*x[76]+3*x[77]+3*x[78]+6*x[79]+11*x[83]+8*x[84]+6*x[86]+6*x[90]+6*x[92]+7*x[93]+6*x[94]+3*x[95]+4*x[100]+5*x[101]+2*x[102])*q^24 + (x[57]+x[58]+2*x[67]+3*x[68]+2*x[69]+5*x[73]+4*x[75]+5*x[80]+3*x[81]+7*x[82]+4*x[85]+3*x[88]+11*x[89]+2*x[91]+4*x[96]+8*x[97]+5*x[98]+x[99]+3*x[103]+2*x[107])*q^23 + (x[60]+x[62]+x[70]+3*x[71]+x[72]+3*x[74]+2*x[77]+2*x[78]+4*x[79]+5*x[83]+5*x[84]+4*x[86]+x[87]+3*x[90]+7*x[92]+5*x[93]+6*x[94]+x[95]+4*x[100]+4*x[101]+2*x[102]+x[104]+2*x[106]+x[109])*q^22 + (x[67]+x[68]+x[69]+x[73]+x[75]+x[80]+2*x[81]+5*x[82]+3*x[85]+7*x[89]+2*x[91]+2*x[96]+5*x[97]+5*x[98]+5*x[103]+x[107]+x[108])*q^21 + (x[71]+x[74]+x[77]+x[78]+x[79]+2*x[83]+3*x[84]+2*x[86]+2*x[90]+5*x[92]+2*x[93]+4*x[94]+x[95]+4*x[100]+4*x[101]+x[105]+2*x[106])*q^20 + (x[73]+x[80]+x[82]+x[85]+x[88]+3*x[89]+x[91]+2*x[96]+4*x[97]+3*x[98]+x[99]+4*x[103]+x[107]+x[108])*q^19 + (x[78]+x[83]+x[84]+x[90]+2*x[92]+2*x[93]+x[94]+x[95]+3*x[100]+2*x[101]+2*x[102]+x[104]+x[105]+2*x[106]+x[109])*q^18 + (x[85]+x[89]+x[96]+2*x[97]+x[98]+2*x[103]+2*x[107]+2*x[108])*q^17 + (x[92]+x[94]+2*x[100]+x[101]+x[105]+x[106]+x[110])*q^16 + (x[98]+2*x[103]+x[108])*q^15 + (x[100]+x[105]+x[106])*q^14 + (x[107]+x[108])*q^13 + (x[109]+x[110])*q^12 + (x[111])*q^11 # Green Polys by conj class in A(O) #11.1 : c = () |O_x_c^F| = 1/2*q^44*(q^2+1)*(q^4+1)*(q^6+1)^2*(q^12+1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,11,1] = (x[13]+x[14])*q^42 + (2*x[17]+x[26]+x[33])*q^41 + (2*x[16]+x[23]+x[27]+2*x[28]+x[32]+2*x[34]+x[36]+x[39])*q^40 + (2*x[15]+2*x[18]+3*x[26]+x[30]+4*x[35]+x[37]+x[40]+3*x[41]+x[45]+2*x[47])*q^39 + (2*x[16]+x[22]+2*x[24]+2*x[27]+3*x[28]+5*x[32]+3*x[34]+x[36]+3*x[38]+5*x[39]+4*x[42]+4*x[43]+2*x[44]+x[53]+2*x[61]+2*x[62]+x[63])*q^38 + (2*x[17]+5*x[26]+2*x[29]+3*x[30]+2*x[33]+7*x[35]+3*x[37]+4*x[40]+8*x[41]+4*x[45]+7*x[47]+2*x[48]+x[51]+x[52]+6*x[57]+3*x[58]+2*x[67]+x[68]+x[69])*q^37 + (2*x[20]+x[21]+2*x[22]+3*x[23]+x[24]+x[25]+3*x[27]+4*x[28]+x[31]+3*x[32]+11*x[34]+4*x[36]+2*x[38]+9*x[39]+7*x[42]+10*x[43]+6*x[44]+x[46]+3*x[49]+x[50]+6*x[53]+4*x[54]+6*x[55]+2*x[56]+x[60]+5*x[61]+6*x[62]+7*x[63]+2*x[64]+3*x[65]+2*x[70]+4*x[71]+x[79])*q^36 + (5*x[26]+2*x[29]+3*x[30]+3*x[33]+8*x[35]+9*x[37]+10*x[40]+15*x[41]+8*x[45]+14*x[47]+3*x[48]+6*x[51]+5*x[52]+15*x[57]+14*x[58]+x[59]+6*x[67]+6*x[68]+2*x[69]+4*x[73]+4*x[75]+4*x[80]+x[82])*q^35 + (x[22]+2*x[24]+2*x[27]+3*x[28]+2*x[31]+6*x[32]+9*x[34]+3*x[36]+6*x[38]+12*x[39]+12*x[42]+19*x[43]+10*x[44]+6*x[49]+2*x[50]+15*x[53]+9*x[54]+10*x[55]+3*x[56]+5*x[60]+15*x[61]+16*x[62]+13*x[63]+4*x[64]+4*x[65]+7*x[70]+13*x[71]+2*x[72]+2*x[74]+x[76]+6*x[79]+5*x[83]+x[84]+x[86]+x[93])*q^34 + (3*x[26]+2*x[29]+3*x[30]+11*x[35]+4*x[37]+7*x[40]+16*x[41]+19*x[45]+21*x[47]+9*x[48]+9*x[51]+4*x[52]+29*x[57]+18*x[58]+20*x[67]+19*x[68]+10*x[69]+5*x[73]+13*x[75]+8*x[80]+3*x[81]+8*x[82]+2*x[85]+3*x[89])*q^33 + (x[23]+x[27]+2*x[28]+3*x[31]+3*x[32]+8*x[34]+2*x[36]+6*x[38]+12*x[39]+14*x[42]+20*x[43]+11*x[44]+x[46]+8*x[49]+2*x[50]+21*x[53]+11*x[54]+15*x[55]+2*x[56]+16*x[60]+23*x[61]+28*x[62]+17*x[63]+6*x[64]+4*x[65]+15*x[70]+28*x[71]+5*x[72]+9*x[74]+x[76]+2*x[77]+18*x[79]+10*x[83]+5*x[84]+8*x[86]+2*x[90]+x[93]+4*x[94])*q^32 + (x[26]+x[30]+2*x[33]+5*x[35]+8*x[37]+9*x[40]+14*x[41]+15*x[45]+20*x[47]+7*x[48]+12*x[51]+9*x[52]+38*x[57]+28*x[58]+2*x[59]+25*x[67]+29*x[68]+12*x[69]+15*x[73]+26*x[75]+19*x[80]+8*x[81]+20*x[82]+4*x[85]+2*x[88]+11*x[89]+x[97]+2*x[98])*q^31 + (x[28]+x[31]+x[32]+5*x[34]+3*x[36]+2*x[38]+7*x[39]+11*x[42]+18*x[43]+9*x[44]+2*x[46]+11*x[49]+4*x[50]+24*x[53]+16*x[54]+19*x[55]+10*x[56]+18*x[60]+21*x[61]+24*x[62]+26*x[63]+7*x[64]+9*x[65]+x[66]+21*x[70]+39*x[71]+5*x[72]+10*x[74]+8*x[76]+5*x[77]+4*x[78]+29*x[79]+28*x[83]+12*x[84]+12*x[86]+2*x[87]+6*x[90]+3*x[92]+9*x[93]+6*x[94]+2*x[95]+x[101])*q^30 + (x[30]+4*x[35]+3*x[37]+4*x[40]+8*x[41]+12*x[45]+16*x[47]+6*x[48]+12*x[51]+10*x[52]+36*x[57]+28*x[58]+3*x[59]+28*x[67]+35*x[68]+12*x[69]+23*x[73]+35*x[75]+29*x[80]+12*x[81]+28*x[82]+9*x[85]+9*x[88]+24*x[89]+x[91]+2*x[96]+8*x[97]+3*x[98]+x[99])*q^29 + (x[31]+x[32]+x[34]+3*x[38]+5*x[39]+9*x[42]+10*x[43]+5*x[44]+x[46]+8*x[49]+2*x[50]+19*x[53]+11*x[54]+14*x[55]+3*x[56]+22*x[60]+21*x[61]+26*x[62]+17*x[63]+6*x[64]+4*x[65]+22*x[70]+43*x[71]+7*x[72]+16*x[74]+7*x[76]+10*x[77]+4*x[78]+36*x[79]+34*x[83]+20*x[84]+23*x[86]+x[87]+11*x[90]+9*x[92]+13*x[93]+13*x[94]+3*x[95]+2*x[100]+3*x[101]+x[102])*q^28 + (x[35]+x[37]+2*x[40]+5*x[41]+9*x[45]+10*x[47]+5*x[48]+7*x[51]+3*x[52]+27*x[57]+17*x[58]+29*x[67]+33*x[68]+16*x[69]+19*x[73]+37*x[75]+26*x[80]+17*x[81]+40*x[82]+11*x[85]+4*x[88]+35*x[89]+6*x[91]+3*x[96]+11*x[97]+12*x[98]+3*x[103])*q^27 + (x[34]+x[36]+x[39]+4*x[42]+6*x[43]+3*x[44]+6*x[49]+x[50]+14*x[53]+8*x[54]+9*x[55]+3*x[56]+17*x[60]+14*x[61]+16*x[62]+13*x[63]+5*x[64]+3*x[65]+19*x[70]+37*x[71]+7*x[72]+16*x[74]+7*x[76]+11*x[77]+5*x[78]+35*x[79]+36*x[83]+24*x[84]+26*x[86]+4*x[87]+13*x[90]+18*x[92]+15*x[93]+20*x[94]+x[95]+5*x[100]+7*x[101]+x[102]+2*x[106])*q^26 + (x[37]+x[40]+2*x[41]+3*x[45]+5*x[47]+x[48]+6*x[51]+5*x[52]+16*x[57]+15*x[58]+2*x[59]+18*x[67]+24*x[68]+8*x[69]+21*x[73]+30*x[75]+26*x[80]+16*x[81]+33*x[82]+14*x[85]+10*x[88]+40*x[89]+6*x[91]+6*x[96]+20*x[97]+12*x[98]+7*x[103]+x[107])*q^25 + (x[39]+2*x[42]+2*x[43]+x[44]+x[46]+4*x[49]+x[50]+7*x[53]+6*x[54]+7*x[55]+3*x[56]+11*x[60]+8*x[61]+8*x[62]+8*x[63]+3*x[64]+4*x[65]+13*x[70]+27*x[71]+4*x[72]+10*x[74]+7*x[76]+12*x[77]+8*x[78]+26*x[79]+34*x[83]+23*x[84]+21*x[86]+2*x[87]+16*x[90]+18*x[92]+21*x[93]+17*x[94]+6*x[95]+9*x[100]+13*x[101]+7*x[102]+x[104]+x[106])*q^24 + (x[41]+2*x[45]+2*x[47]+x[48]+2*x[51]+x[52]+10*x[57]+6*x[58]+12*x[67]+15*x[68]+7*x[69]+15*x[73]+21*x[75]+18*x[80]+13*x[81]+27*x[82]+11*x[85]+8*x[88]+36*x[89]+7*x[91]+10*x[96]+23*x[97]+14*x[98]+x[99]+9*x[103]+4*x[107])*q^23 + (x[42]+x[43]+x[44]+x[49]+4*x[53]+x[54]+2*x[55]+8*x[60]+4*x[61]+6*x[62]+3*x[63]+x[64]+9*x[70]+17*x[71]+4*x[72]+10*x[74]+3*x[76]+8*x[77]+5*x[78]+19*x[79]+21*x[83]+19*x[84]+18*x[86]+3*x[87]+12*x[90]+22*x[92]+14*x[93]+18*x[94]+2*x[95]+11*x[100]+14*x[101]+5*x[102]+2*x[104]+5*x[106]+x[109])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+8*x[67]+9*x[68]+4*x[69]+7*x[73]+12*x[75]+10*x[80]+10*x[81]+21*x[82]+9*x[85]+3*x[88]+28*x[89]+8*x[91]+7*x[96]+18*x[97]+15*x[98]+14*x[103]+2*x[107]+3*x[108])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+9*x[71]+2*x[72]+5*x[74]+2*x[76]+7*x[77]+4*x[78]+11*x[79]+15*x[83]+13*x[84]+12*x[86]+x[87]+9*x[90]+18*x[92]+12*x[93]+13*x[94]+3*x[95]+11*x[100]+13*x[101]+4*x[102]+x[104]+3*x[105]+6*x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+7*x[73]+7*x[75]+8*x[80]+5*x[81]+10*x[82]+5*x[85]+5*x[88]+19*x[89]+5*x[91]+8*x[96]+17*x[97]+10*x[98]+2*x[99]+12*x[103]+4*x[107]+3*x[108])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+4*x[78]+6*x[79]+9*x[83]+9*x[84]+6*x[86]+x[87]+7*x[90]+12*x[92]+9*x[93]+7*x[94]+3*x[95]+10*x[100]+11*x[101]+6*x[102]+2*x[104]+3*x[105]+5*x[106]+2*x[109]+x[110])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+4*x[85]+x[88]+12*x[89]+3*x[91]+5*x[96]+11*x[97]+7*x[98]+10*x[103]+5*x[107]+5*x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+9*x[92]+4*x[93]+7*x[94]+8*x[100]+7*x[101]+2*x[102]+x[104]+4*x[105]+5*x[106]+2*x[110])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+6*x[98]+9*x[103]+x[107]+4*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+6*x[100]+5*x[101]+2*x[102]+x[104]+3*x[105]+4*x[106]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+4*x[107]+4*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+2*x[109]+3*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]+2*x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #11.2 : c = (1) |O_x_c^F| = 1/2*q^44*(q^2-1)*(q^4+1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,11,2] = (x[13]-x[14])*q^42 + (x[26]-x[33])*q^41 + (x[23]+x[27]+x[32]-x[36]+x[39])*q^40 + (x[26]+x[30]+x[37]+x[40]+x[41]+x[45])*q^39 + (x[22]+x[28]+x[32]+x[34]+x[36]-x[38]+x[39]+2*x[43]+2*x[44]+x[53]+x[63])*q^38 + (x[26]+x[30]+x[35]+x[37]+2*x[40]+2*x[41]+2*x[45]+x[47]+x[51]+x[52]+2*x[57]+x[58]+x[68]-x[69])*q^37 + (x[21]+x[23]+x[24]-x[25]+x[27]+x[31]+x[32]+x[34]+3*x[39]+x[42]+2*x[43]+2*x[44]+x[46]+x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[60]+3*x[61]+2*x[62]+x[63]+x[65]+x[79])*q^36 + (x[26]+x[30]-x[33]+2*x[35]+x[37]+2*x[40]+3*x[41]+4*x[45]+2*x[47]+x[48]+2*x[51]+x[52]+5*x[57]+2*x[58]-x[59]+2*x[67]+2*x[68]+2*x[75]+x[82])*q^35 + (x[22]+x[28]+2*x[32]+x[34]+x[36]+2*x[39]+2*x[42]+5*x[43]+4*x[44]+5*x[53]+x[54]+2*x[55]-x[56]+3*x[60]+3*x[61]+4*x[62]+3*x[63]+3*x[70]+3*x[71]+x[76]+2*x[79]+x[83]+x[84]+x[86]-x[93])*q^34 + (x[26]+x[30]+x[35]+2*x[37]+3*x[40]+4*x[41]+5*x[45]+3*x[47]+x[48]+3*x[51]+2*x[52]+7*x[57]+4*x[58]+4*x[67]+5*x[68]+x[73]+5*x[75]+2*x[80]+x[81]+2*x[82]+x[89])*q^33 + (x[23]+x[27]+x[31]+x[32]+2*x[34]+4*x[39]+2*x[42]+4*x[43]+3*x[44]+x[46]+2*x[49]+2*x[50]+5*x[53]+5*x[54]+5*x[55]+2*x[56]+4*x[60]+7*x[61]+4*x[62]+5*x[63]+2*x[65]+3*x[70]+4*x[71]+x[72]+x[74]+x[76]+2*x[77]+6*x[79]+4*x[83]+x[84]+2*x[86]+x[93])*q^32 + (x[26]+x[30]+x[35]+2*x[37]+3*x[40]+4*x[41]+5*x[45]+4*x[47]+x[48]+4*x[51]+3*x[52]+10*x[57]+6*x[58]+5*x[67]+7*x[68]+3*x[73]+8*x[75]+5*x[80]+2*x[81]+4*x[82]+2*x[88]+3*x[89]+x[97])*q^31 + (x[28]+x[31]+x[32]+x[34]+x[36]+3*x[39]+3*x[42]+6*x[43]+5*x[44]+x[49]+8*x[53]+2*x[54]+5*x[55]+6*x[60]+5*x[61]+6*x[62]+6*x[63]+x[64]+x[65]-x[66]+7*x[70]+9*x[71]+x[72]+2*x[74]+4*x[76]+x[77]+7*x[79]+6*x[83]+4*x[84]+4*x[86]+2*x[90]+x[92]+x[93]+x[101])*q^30 + (x[30]+2*x[35]+x[37]+2*x[40]+4*x[41]+6*x[45]+4*x[47]+2*x[48]+4*x[51]+2*x[52]+12*x[57]+6*x[58]-x[59]+8*x[67]+9*x[68]+2*x[69]+3*x[73]+11*x[75]+5*x[80]+4*x[81]+8*x[82]+x[85]+x[88]+6*x[89]+x[91]+2*x[97]+x[98]-x[99])*q^29 + (x[31]+x[32]+x[34]+x[38]+3*x[39]+3*x[42]+4*x[43]+3*x[44]+x[46]+2*x[49]+2*x[50]+7*x[53]+5*x[54]+6*x[55]+x[56]+8*x[60]+9*x[61]+8*x[62]+5*x[63]+2*x[65]+6*x[70]+9*x[71]+3*x[72]+4*x[74]+x[76]+4*x[77]+12*x[79]+8*x[83]+4*x[84]+7*x[86]+x[87]+x[90]+3*x[92]+3*x[93]+3*x[94]-x[95]+x[101]+x[102])*q^28 + (x[35]+x[37]+2*x[40]+3*x[41]+5*x[45]+4*x[47]+x[48]+5*x[51]+3*x[52]+11*x[57]+7*x[58]+9*x[67]+11*x[68]+2*x[69]+5*x[73]+13*x[75]+8*x[80]+5*x[81]+10*x[82]+x[85]+2*x[88]+9*x[89]+2*x[91]+x[96]+3*x[97]+2*x[98]+x[103])*q^27 + (x[34]+x[36]+x[39]+2*x[42]+4*x[43]+3*x[44]+2*x[49]+x[50]+8*x[53]+4*x[54]+5*x[55]+x[56]+7*x[60]+6*x[61]+6*x[62]+7*x[63]+x[64]+x[65]+9*x[70]+13*x[71]+x[72]+2*x[74]+5*x[76]+3*x[77]+x[78]+11*x[79]+12*x[83]+8*x[84]+8*x[86]+5*x[90]+4*x[92]+3*x[93]+2*x[94]+x[95]+x[100]+3*x[101]+x[102])*q^26 + (x[37]+x[40]+2*x[41]+3*x[45]+3*x[47]+x[48]+4*x[51]+3*x[52]+10*x[57]+7*x[58]+8*x[67]+10*x[68]+2*x[69]+7*x[73]+14*x[75]+10*x[80]+6*x[81]+11*x[82]+2*x[85]+4*x[88]+12*x[89]+2*x[91]+2*x[96]+6*x[97]+2*x[98]+x[103]+x[107])*q^25 + (x[39]+2*x[42]+2*x[43]+x[44]+x[46]+2*x[49]+x[50]+5*x[53]+4*x[54]+5*x[55]+x[56]+7*x[60]+6*x[61]+6*x[62]+4*x[63]+x[64]+2*x[65]+7*x[70]+11*x[71]+2*x[72]+4*x[74]+3*x[76]+6*x[77]+2*x[78]+14*x[79]+12*x[83]+7*x[84]+9*x[86]+2*x[87]+4*x[90]+6*x[92]+7*x[93]+5*x[94]+x[100]+3*x[101]+3*x[102]+x[104]+x[106])*q^24 + (x[41]+2*x[45]+2*x[47]+x[48]+2*x[51]+x[52]+8*x[57]+4*x[58]+8*x[67]+9*x[68]+3*x[69]+5*x[73]+13*x[75]+8*x[80]+7*x[81]+13*x[82]+3*x[85]+2*x[88]+14*x[89]+3*x[91]+2*x[96]+7*x[97]+4*x[98]-x[99]+3*x[103])*q^23 + (x[42]+x[43]+x[44]+x[49]+4*x[53]+x[54]+2*x[55]+6*x[60]+4*x[61]+4*x[62]+3*x[63]+x[64]+7*x[70]+11*x[71]+2*x[72]+4*x[74]+3*x[76]+4*x[77]+x[78]+11*x[79]+11*x[83]+9*x[84]+10*x[86]+x[87]+6*x[90]+8*x[92]+4*x[93]+6*x[94]+3*x[100]+6*x[101]+x[102]+x[106]-x[109])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+6*x[67]+7*x[68]+2*x[69]+5*x[73]+10*x[75]+8*x[80]+6*x[81]+11*x[82]+3*x[85]+3*x[88]+14*x[89]+4*x[91]+3*x[96]+8*x[97]+5*x[98]+4*x[103]+x[108])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+7*x[71]+2*x[72]+3*x[74]+2*x[76]+5*x[77]+2*x[78]+9*x[79]+11*x[83]+7*x[84]+8*x[86]+x[87]+5*x[90]+8*x[92]+8*x[93]+5*x[94]+x[95]+3*x[100]+5*x[101]+4*x[102]+x[104]+x[105]+2*x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+5*x[73]+7*x[75]+6*x[80]+5*x[81]+8*x[82]+3*x[85]+3*x[88]+13*x[89]+3*x[91]+4*x[96]+9*x[97]+4*x[98]+4*x[103]+2*x[107]+x[108])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+2*x[78]+6*x[79]+7*x[83]+7*x[84]+6*x[86]+x[87]+5*x[90]+8*x[92]+5*x[93]+5*x[94]+x[95]+4*x[100]+7*x[101]+2*x[102]+x[105]+x[106]+x[110])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+2*x[85]+x[88]+10*x[89]+3*x[91]+3*x[96]+7*x[97]+5*x[98]+6*x[103]+x[107]+x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+7*x[92]+4*x[93]+5*x[94]+4*x[100]+5*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+4*x[98]+5*x[103]+x[107]+2*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+4*x[100]+5*x[101]+2*x[102]+x[104]+x[105]+2*x[106]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+2*x[107]+2*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #12 : 2*A2+A1 dim = 162 A(O) = 1 , |A(O)_0| = 1 g_s = 2*V[5]+10*V[4]+16*V[3]+23*V[2]+18*V[1]+17*V[0] Z_G(x)_0 = A1+G2 # Green Polys by orbit reps #12.1 : x[15] : 2*A2+A1,[1] : phi[448,39] Qxi[E8,12,1] = (x[15])*q^39 + (x[16]+x[32])*q^38 + (x[17]+x[26]+x[30]+x[35]+x[41])*q^37 + (x[20]+x[21]+x[22]+x[23]+x[27]+x[28]+x[32]+2*x[34]+x[36]+2*x[39]+x[42]+x[43]+x[44]+x[55])*q^36 + (2*x[26]+2*x[30]+x[33]+2*x[35]+2*x[37]+3*x[40]+4*x[41]+x[45]+2*x[47]+x[51]+x[52]+2*x[57]+x[58])*q^35 + (x[22]+x[24]+x[27]+x[28]+x[31]+3*x[32]+3*x[34]+x[36]+x[38]+4*x[39]+3*x[42]+5*x[43]+4*x[44]+x[49]+x[50]+3*x[53]+2*x[54]+2*x[55]+x[56]+3*x[61]+2*x[62]+2*x[63]+x[70]+x[71])*q^34 + (2*x[26]+x[29]+2*x[30]+4*x[35]+x[37]+3*x[40]+7*x[41]+7*x[45]+6*x[47]+2*x[48]+4*x[51]+x[52]+7*x[57]+4*x[58]+4*x[67]+3*x[68]+x[69]+2*x[75]+x[80])*q^33 + (x[23]+x[27]+x[28]+2*x[31]+2*x[32]+4*x[34]+x[36]+2*x[38]+6*x[39]+5*x[42]+8*x[43]+6*x[44]+2*x[49]+x[50]+8*x[53]+4*x[54]+6*x[55]+4*x[60]+8*x[61]+8*x[62]+4*x[63]+x[64]+x[65]+4*x[70]+6*x[71]+x[72]+x[74]+3*x[79]+x[83]+x[86])*q^32 + (x[26]+x[30]+x[33]+3*x[35]+4*x[37]+5*x[40]+8*x[41]+8*x[45]+8*x[47]+2*x[48]+6*x[51]+4*x[52]+16*x[57]+10*x[58]+8*x[67]+8*x[68]+3*x[69]+3*x[73]+8*x[75]+4*x[80]+2*x[81]+4*x[82]+x[89])*q^31 + (x[28]+x[31]+x[32]+3*x[34]+2*x[36]+x[38]+5*x[39]+6*x[42]+10*x[43]+6*x[44]+x[46]+4*x[49]+2*x[50]+12*x[53]+7*x[54]+10*x[55]+4*x[56]+8*x[60]+10*x[61]+10*x[62]+11*x[63]+2*x[64]+3*x[65]+9*x[70]+13*x[71]+2*x[72]+2*x[74]+3*x[76]+x[77]+x[78]+10*x[79]+7*x[83]+2*x[84]+3*x[86]+x[87]+x[90]+x[93]+x[94])*q^30 + (x[30]+3*x[35]+2*x[37]+3*x[40]+6*x[41]+8*x[45]+9*x[47]+3*x[48]+7*x[51]+6*x[52]+20*x[57]+13*x[58]+x[59]+13*x[67]+15*x[68]+4*x[69]+7*x[73]+16*x[75]+11*x[80]+5*x[81]+9*x[82]+2*x[85]+3*x[88]+6*x[89]+x[97])*q^29 + (x[31]+x[32]+x[34]+2*x[38]+4*x[39]+6*x[42]+7*x[43]+4*x[44]+x[46]+4*x[49]+2*x[50]+12*x[53]+7*x[54]+9*x[55]+2*x[56]+12*x[60]+13*x[61]+14*x[62]+10*x[63]+2*x[64]+2*x[65]+12*x[70]+20*x[71]+3*x[72]+6*x[74]+4*x[76]+4*x[77]+x[78]+17*x[79]+13*x[83]+6*x[84]+10*x[86]+4*x[90]+2*x[92]+4*x[93]+3*x[94]+x[95])*q^28 + (x[35]+x[37]+2*x[40]+4*x[41]+7*x[45]+7*x[47]+3*x[48]+6*x[51]+3*x[52]+18*x[57]+11*x[58]+17*x[67]+18*x[68]+7*x[69]+9*x[73]+21*x[75]+14*x[80]+8*x[81]+18*x[82]+3*x[85]+2*x[88]+14*x[89]+3*x[91]+x[96]+3*x[97]+3*x[98])*q^27 + (x[34]+x[36]+x[39]+3*x[42]+5*x[43]+3*x[44]+4*x[49]+x[50]+11*x[53]+6*x[54]+7*x[55]+2*x[56]+11*x[60]+10*x[61]+11*x[62]+9*x[63]+3*x[64]+2*x[65]+13*x[70]+22*x[71]+4*x[72]+7*x[74]+5*x[76]+6*x[77]+2*x[78]+20*x[79]+19*x[83]+11*x[84]+14*x[86]+2*x[87]+6*x[90]+7*x[92]+7*x[93]+7*x[94]+x[100]+2*x[101])*q^26 + (x[37]+x[40]+2*x[41]+3*x[45]+4*x[47]+x[48]+5*x[51]+4*x[52]+13*x[57]+11*x[58]+x[59]+13*x[67]+16*x[68]+5*x[69]+12*x[73]+21*x[75]+16*x[80]+10*x[81]+19*x[82]+6*x[85]+5*x[88]+21*x[89]+3*x[91]+2*x[96]+9*x[97]+4*x[98]+2*x[103])*q^25 + (x[39]+2*x[42]+2*x[43]+x[44]+x[46]+3*x[49]+x[50]+6*x[53]+5*x[54]+6*x[55]+2*x[56]+9*x[60]+7*x[61]+7*x[62]+6*x[63]+2*x[64]+3*x[65]+10*x[70]+19*x[71]+3*x[72]+6*x[74]+5*x[76]+8*x[77]+4*x[78]+19*x[79]+21*x[83]+13*x[84]+14*x[86]+2*x[87]+9*x[90]+9*x[92]+11*x[93]+9*x[94]+2*x[95]+3*x[100]+6*x[101]+3*x[102])*q^24 + (x[41]+2*x[45]+2*x[47]+x[48]+2*x[51]+x[52]+9*x[57]+5*x[58]+10*x[67]+12*x[68]+5*x[69]+10*x[73]+17*x[75]+13*x[80]+10*x[81]+19*x[82]+6*x[85]+5*x[88]+23*x[89]+4*x[91]+5*x[96]+12*x[97]+7*x[98]+4*x[103]+x[107])*q^23 + (x[42]+x[43]+x[44]+x[49]+4*x[53]+x[54]+2*x[55]+7*x[60]+4*x[61]+5*x[62]+3*x[63]+x[64]+8*x[70]+14*x[71]+3*x[72]+7*x[74]+3*x[76]+6*x[77]+3*x[78]+15*x[79]+16*x[83]+13*x[84]+14*x[86]+2*x[87]+9*x[90]+13*x[92]+9*x[93]+11*x[94]+x[95]+5*x[100]+8*x[101]+3*x[102]+x[104]+2*x[106])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+7*x[67]+8*x[68]+3*x[69]+6*x[73]+11*x[75]+9*x[80]+8*x[81]+16*x[82]+6*x[85]+3*x[88]+21*x[89]+6*x[91]+5*x[96]+12*x[97]+9*x[98]+7*x[103]+x[107]+x[108])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+8*x[71]+2*x[72]+4*x[74]+2*x[76]+6*x[77]+3*x[78]+10*x[79]+13*x[83]+10*x[84]+10*x[86]+x[87]+7*x[90]+13*x[92]+10*x[93]+9*x[94]+2*x[95]+6*x[100]+9*x[101]+3*x[102]+x[104]+x[105]+3*x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+6*x[73]+7*x[75]+7*x[80]+5*x[81]+9*x[82]+4*x[85]+4*x[88]+16*x[89]+4*x[91]+6*x[96]+13*x[97]+7*x[98]+x[99]+8*x[103]+2*x[107]+x[108])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+3*x[78]+6*x[79]+8*x[83]+8*x[84]+6*x[86]+x[87]+6*x[90]+10*x[92]+7*x[93]+6*x[94]+2*x[95]+7*x[100]+9*x[101]+4*x[102]+x[104]+2*x[105]+3*x[106]+x[109])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+3*x[85]+x[88]+11*x[89]+3*x[91]+4*x[96]+9*x[97]+6*x[98]+8*x[103]+3*x[107]+3*x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+8*x[92]+4*x[93]+6*x[94]+6*x[100]+6*x[101]+2*x[102]+x[104]+3*x[105]+4*x[106]+x[110])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+5*x[98]+7*x[103]+x[107]+3*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+5*x[100]+5*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+3*x[107]+3*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #12.1 : c = () |O_x_c^F| = q^44*(q^2+1)*(q^4+1)*(q^6+1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,12,1] = (x[15])*q^39 + (x[16]+x[32])*q^38 + (x[17]+x[26]+x[30]+x[35]+x[41])*q^37 + (x[20]+x[21]+x[22]+x[23]+x[27]+x[28]+x[32]+2*x[34]+x[36]+2*x[39]+x[42]+x[43]+x[44]+x[55])*q^36 + (2*x[26]+2*x[30]+x[33]+2*x[35]+2*x[37]+3*x[40]+4*x[41]+x[45]+2*x[47]+x[51]+x[52]+2*x[57]+x[58])*q^35 + (x[22]+x[24]+x[27]+x[28]+x[31]+3*x[32]+3*x[34]+x[36]+x[38]+4*x[39]+3*x[42]+5*x[43]+4*x[44]+x[49]+x[50]+3*x[53]+2*x[54]+2*x[55]+x[56]+3*x[61]+2*x[62]+2*x[63]+x[70]+x[71])*q^34 + (2*x[26]+x[29]+2*x[30]+4*x[35]+x[37]+3*x[40]+7*x[41]+7*x[45]+6*x[47]+2*x[48]+4*x[51]+x[52]+7*x[57]+4*x[58]+4*x[67]+3*x[68]+x[69]+2*x[75]+x[80])*q^33 + (x[23]+x[27]+x[28]+2*x[31]+2*x[32]+4*x[34]+x[36]+2*x[38]+6*x[39]+5*x[42]+8*x[43]+6*x[44]+2*x[49]+x[50]+8*x[53]+4*x[54]+6*x[55]+4*x[60]+8*x[61]+8*x[62]+4*x[63]+x[64]+x[65]+4*x[70]+6*x[71]+x[72]+x[74]+3*x[79]+x[83]+x[86])*q^32 + (x[26]+x[30]+x[33]+3*x[35]+4*x[37]+5*x[40]+8*x[41]+8*x[45]+8*x[47]+2*x[48]+6*x[51]+4*x[52]+16*x[57]+10*x[58]+8*x[67]+8*x[68]+3*x[69]+3*x[73]+8*x[75]+4*x[80]+2*x[81]+4*x[82]+x[89])*q^31 + (x[28]+x[31]+x[32]+3*x[34]+2*x[36]+x[38]+5*x[39]+6*x[42]+10*x[43]+6*x[44]+x[46]+4*x[49]+2*x[50]+12*x[53]+7*x[54]+10*x[55]+4*x[56]+8*x[60]+10*x[61]+10*x[62]+11*x[63]+2*x[64]+3*x[65]+9*x[70]+13*x[71]+2*x[72]+2*x[74]+3*x[76]+x[77]+x[78]+10*x[79]+7*x[83]+2*x[84]+3*x[86]+x[87]+x[90]+x[93]+x[94])*q^30 + (x[30]+3*x[35]+2*x[37]+3*x[40]+6*x[41]+8*x[45]+9*x[47]+3*x[48]+7*x[51]+6*x[52]+20*x[57]+13*x[58]+x[59]+13*x[67]+15*x[68]+4*x[69]+7*x[73]+16*x[75]+11*x[80]+5*x[81]+9*x[82]+2*x[85]+3*x[88]+6*x[89]+x[97])*q^29 + (x[31]+x[32]+x[34]+2*x[38]+4*x[39]+6*x[42]+7*x[43]+4*x[44]+x[46]+4*x[49]+2*x[50]+12*x[53]+7*x[54]+9*x[55]+2*x[56]+12*x[60]+13*x[61]+14*x[62]+10*x[63]+2*x[64]+2*x[65]+12*x[70]+20*x[71]+3*x[72]+6*x[74]+4*x[76]+4*x[77]+x[78]+17*x[79]+13*x[83]+6*x[84]+10*x[86]+4*x[90]+2*x[92]+4*x[93]+3*x[94]+x[95])*q^28 + (x[35]+x[37]+2*x[40]+4*x[41]+7*x[45]+7*x[47]+3*x[48]+6*x[51]+3*x[52]+18*x[57]+11*x[58]+17*x[67]+18*x[68]+7*x[69]+9*x[73]+21*x[75]+14*x[80]+8*x[81]+18*x[82]+3*x[85]+2*x[88]+14*x[89]+3*x[91]+x[96]+3*x[97]+3*x[98])*q^27 + (x[34]+x[36]+x[39]+3*x[42]+5*x[43]+3*x[44]+4*x[49]+x[50]+11*x[53]+6*x[54]+7*x[55]+2*x[56]+11*x[60]+10*x[61]+11*x[62]+9*x[63]+3*x[64]+2*x[65]+13*x[70]+22*x[71]+4*x[72]+7*x[74]+5*x[76]+6*x[77]+2*x[78]+20*x[79]+19*x[83]+11*x[84]+14*x[86]+2*x[87]+6*x[90]+7*x[92]+7*x[93]+7*x[94]+x[100]+2*x[101])*q^26 + (x[37]+x[40]+2*x[41]+3*x[45]+4*x[47]+x[48]+5*x[51]+4*x[52]+13*x[57]+11*x[58]+x[59]+13*x[67]+16*x[68]+5*x[69]+12*x[73]+21*x[75]+16*x[80]+10*x[81]+19*x[82]+6*x[85]+5*x[88]+21*x[89]+3*x[91]+2*x[96]+9*x[97]+4*x[98]+2*x[103])*q^25 + (x[39]+2*x[42]+2*x[43]+x[44]+x[46]+3*x[49]+x[50]+6*x[53]+5*x[54]+6*x[55]+2*x[56]+9*x[60]+7*x[61]+7*x[62]+6*x[63]+2*x[64]+3*x[65]+10*x[70]+19*x[71]+3*x[72]+6*x[74]+5*x[76]+8*x[77]+4*x[78]+19*x[79]+21*x[83]+13*x[84]+14*x[86]+2*x[87]+9*x[90]+9*x[92]+11*x[93]+9*x[94]+2*x[95]+3*x[100]+6*x[101]+3*x[102])*q^24 + (x[41]+2*x[45]+2*x[47]+x[48]+2*x[51]+x[52]+9*x[57]+5*x[58]+10*x[67]+12*x[68]+5*x[69]+10*x[73]+17*x[75]+13*x[80]+10*x[81]+19*x[82]+6*x[85]+5*x[88]+23*x[89]+4*x[91]+5*x[96]+12*x[97]+7*x[98]+4*x[103]+x[107])*q^23 + (x[42]+x[43]+x[44]+x[49]+4*x[53]+x[54]+2*x[55]+7*x[60]+4*x[61]+5*x[62]+3*x[63]+x[64]+8*x[70]+14*x[71]+3*x[72]+7*x[74]+3*x[76]+6*x[77]+3*x[78]+15*x[79]+16*x[83]+13*x[84]+14*x[86]+2*x[87]+9*x[90]+13*x[92]+9*x[93]+11*x[94]+x[95]+5*x[100]+8*x[101]+3*x[102]+x[104]+2*x[106])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+7*x[67]+8*x[68]+3*x[69]+6*x[73]+11*x[75]+9*x[80]+8*x[81]+16*x[82]+6*x[85]+3*x[88]+21*x[89]+6*x[91]+5*x[96]+12*x[97]+9*x[98]+7*x[103]+x[107]+x[108])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+8*x[71]+2*x[72]+4*x[74]+2*x[76]+6*x[77]+3*x[78]+10*x[79]+13*x[83]+10*x[84]+10*x[86]+x[87]+7*x[90]+13*x[92]+10*x[93]+9*x[94]+2*x[95]+6*x[100]+9*x[101]+3*x[102]+x[104]+x[105]+3*x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+6*x[73]+7*x[75]+7*x[80]+5*x[81]+9*x[82]+4*x[85]+4*x[88]+16*x[89]+4*x[91]+6*x[96]+13*x[97]+7*x[98]+x[99]+8*x[103]+2*x[107]+x[108])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+3*x[78]+6*x[79]+8*x[83]+8*x[84]+6*x[86]+x[87]+6*x[90]+10*x[92]+7*x[93]+6*x[94]+2*x[95]+7*x[100]+9*x[101]+4*x[102]+x[104]+2*x[105]+3*x[106]+x[109])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+3*x[85]+x[88]+11*x[89]+3*x[91]+4*x[96]+9*x[97]+6*x[98]+8*x[103]+3*x[107]+3*x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+8*x[92]+4*x[93]+6*x[94]+6*x[100]+6*x[101]+2*x[102]+x[104]+3*x[105]+4*x[106]+x[110])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+5*x[98]+7*x[103]+x[107]+3*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+5*x[100]+5*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+3*x[107]+3*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #13 : A3+A1 dim = 164 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+2*V[5]+15*V[4]+18*V[3]+10*V[2]+14*V[1]+24*V[0] Z_G(x)_0 = A1+B3 # Green Polys by orbit reps #13.1 : x[16] : A3+A1,[1] : phi[1344,38] Qxi[E8,13,1] = (x[16])*q^38 + (x[17]+x[18]+x[26]+x[35])*q^37 + (x[20]+x[22]+x[23]+x[24]+x[27]+2*x[28]+x[32]+2*x[34]+x[38]+x[39]+x[42]+x[43])*q^36 + (3*x[26]+x[29]+x[30]+x[33]+3*x[35]+3*x[37]+3*x[40]+3*x[41]+x[45]+3*x[47]+x[48]+x[57]+x[58])*q^35 + (x[22]+x[23]+2*x[24]+x[25]+x[27]+2*x[28]+x[31]+2*x[32]+5*x[34]+x[36]+2*x[38]+5*x[39]+3*x[42]+7*x[43]+3*x[44]+2*x[49]+2*x[53]+2*x[54]+x[55]+x[56]+2*x[61]+3*x[62]+3*x[63]+x[64]+x[65]+x[71])*q^34 + (3*x[26]+3*x[29]+2*x[30]+x[33]+6*x[35]+4*x[37]+5*x[40]+7*x[41]+7*x[45]+9*x[47]+4*x[48]+2*x[51]+x[52]+8*x[57]+7*x[58]+x[59]+3*x[67]+4*x[68]+2*x[69]+x[73]+x[75]+x[80])*q^33 + (x[23]+x[24]+x[27]+2*x[28]+2*x[31]+3*x[32]+7*x[34]+x[36]+5*x[38]+8*x[39]+6*x[42]+13*x[43]+6*x[44]+4*x[49]+8*x[53]+5*x[54]+6*x[55]+x[56]+5*x[60]+9*x[61]+12*x[62]+8*x[63]+4*x[64]+3*x[65]+3*x[70]+8*x[71]+x[72]+2*x[74]+3*x[79]+2*x[83])*q^32 + (2*x[26]+x[29]+x[30]+x[33]+7*x[35]+6*x[37]+7*x[40]+10*x[41]+12*x[45]+14*x[47]+7*x[48]+5*x[51]+3*x[52]+20*x[57]+16*x[58]+10*x[67]+14*x[68]+7*x[69]+5*x[73]+8*x[75]+5*x[80]+x[81]+6*x[82]+x[85]+x[89])*q^31 + (2*x[28]+x[31]+2*x[32]+6*x[34]+2*x[36]+4*x[38]+8*x[39]+9*x[42]+17*x[43]+7*x[44]+x[46]+7*x[49]+2*x[50]+15*x[53]+9*x[54]+11*x[55]+5*x[56]+12*x[60]+15*x[61]+20*x[62]+17*x[63]+6*x[64]+5*x[65]+9*x[70]+20*x[71]+2*x[72]+7*x[74]+2*x[76]+x[77]+x[78]+12*x[79]+10*x[83]+4*x[84]+4*x[86]+x[90]+x[93]+2*x[94])*q^30 + (x[30]+x[33]+5*x[35]+5*x[37]+6*x[40]+9*x[41]+12*x[45]+17*x[47]+7*x[48]+8*x[51]+7*x[52]+29*x[57]+23*x[58]+3*x[59]+18*x[67]+26*x[68]+10*x[69]+12*x[73]+20*x[75]+15*x[80]+4*x[81]+16*x[82]+5*x[85]+4*x[88]+8*x[89]+x[97]+x[98])*q^29 + (x[31]+x[32]+3*x[34]+x[36]+3*x[38]+6*x[39]+9*x[42]+13*x[43]+6*x[44]+x[46]+9*x[49]+2*x[50]+17*x[53]+12*x[54]+13*x[55]+6*x[56]+17*x[60]+19*x[61]+24*x[62]+20*x[63]+6*x[64]+6*x[65]+x[66]+15*x[70]+33*x[71]+3*x[72]+12*x[74]+6*x[76]+5*x[77]+2*x[78]+24*x[79]+23*x[83]+11*x[84]+11*x[86]+4*x[90]+3*x[92]+6*x[93]+6*x[94]+3*x[95])*q^28 + (2*x[35]+2*x[37]+3*x[40]+6*x[41]+10*x[45]+13*x[47]+6*x[48]+8*x[51]+5*x[52]+29*x[57]+22*x[58]+2*x[59]+24*x[67]+32*x[68]+13*x[69]+19*x[73]+29*x[75]+23*x[80]+9*x[81]+29*x[82]+8*x[85]+6*x[88]+21*x[89]+2*x[91]+x[96]+6*x[97]+5*x[98]+x[99])*q^27 + (x[34]+x[36]+x[38]+2*x[39]+6*x[42]+8*x[43]+4*x[44]+7*x[49]+x[50]+16*x[53]+9*x[54]+11*x[55]+3*x[56]+18*x[60]+16*x[61]+21*x[62]+15*x[63]+7*x[64]+4*x[65]+18*x[70]+38*x[71]+5*x[72]+15*x[74]+6*x[76]+8*x[77]+4*x[78]+31*x[79]+33*x[83]+20*x[84]+19*x[86]+2*x[87]+8*x[90]+10*x[92]+11*x[93]+13*x[94]+2*x[95]+2*x[100]+3*x[101]+x[102])*q^26 + (x[37]+x[40]+3*x[41]+5*x[45]+7*x[47]+3*x[48]+6*x[51]+4*x[52]+21*x[57]+17*x[58]+x[59]+22*x[67]+28*x[68]+13*x[69]+20*x[73]+32*x[75]+24*x[80]+13*x[81]+35*x[82]+13*x[85]+7*x[88]+33*x[89]+4*x[91]+2*x[96]+14*x[97]+10*x[98]+3*x[103])*q^25 + (x[39]+3*x[42]+3*x[43]+x[44]+x[46]+5*x[49]+x[50]+9*x[53]+7*x[54]+8*x[55]+3*x[56]+14*x[60]+11*x[61]+12*x[62]+10*x[63]+4*x[64]+4*x[65]+15*x[70]+32*x[71]+5*x[72]+14*x[74]+6*x[76]+11*x[77]+6*x[78]+30*x[79]+35*x[83]+23*x[84]+22*x[86]+2*x[87]+12*x[90]+16*x[92]+16*x[93]+19*x[94]+3*x[95]+6*x[100]+8*x[101]+4*x[102]+x[106])*q^24 + (x[41]+2*x[45]+3*x[47]+x[48]+3*x[51]+2*x[52]+12*x[57]+9*x[58]+x[59]+15*x[67]+20*x[68]+8*x[69]+18*x[73]+25*x[75]+22*x[80]+14*x[81]+31*x[82]+13*x[85]+9*x[88]+37*x[89]+6*x[91]+6*x[96]+20*x[97]+14*x[98]+7*x[103]+2*x[107])*q^23 + (x[42]+x[43]+x[44]+2*x[49]+5*x[53]+2*x[54]+3*x[55]+x[56]+9*x[60]+5*x[61]+6*x[62]+5*x[63]+2*x[64]+x[65]+11*x[70]+22*x[71]+4*x[72]+11*x[74]+5*x[76]+9*x[77]+6*x[78]+22*x[79]+28*x[83]+22*x[84]+20*x[86]+2*x[87]+14*x[90]+20*x[92]+17*x[93]+18*x[94]+5*x[95]+10*x[100]+12*x[101]+6*x[102]+x[104]+3*x[106])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+5*x[57]+4*x[58]+9*x[67]+11*x[68]+5*x[69]+11*x[73]+15*x[75]+14*x[80]+11*x[81]+24*x[82]+11*x[85]+6*x[88]+33*x[89]+8*x[91]+8*x[96]+21*x[97]+15*x[98]+x[99]+11*x[103]+4*x[107]+x[108])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+4*x[60]+2*x[61]+3*x[62]+2*x[63]+x[65]+5*x[70]+11*x[71]+3*x[72]+7*x[74]+2*x[76]+8*x[77]+5*x[78]+14*x[79]+18*x[83]+16*x[84]+14*x[86]+2*x[87]+10*x[90]+21*x[92]+15*x[93]+16*x[94]+3*x[95]+11*x[100]+14*x[101]+5*x[102]+x[104]+x[105]+5*x[106]+x[109])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+4*x[67]+5*x[68]+2*x[69]+7*x[73]+8*x[75]+8*x[80]+7*x[81]+14*x[82]+7*x[85]+4*x[88]+23*x[89]+6*x[91]+8*x[96]+19*x[97]+13*x[98]+x[99]+14*x[103]+3*x[107]+2*x[108])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+6*x[71]+x[72]+3*x[74]+2*x[76]+4*x[77]+4*x[78]+7*x[79]+10*x[83]+11*x[84]+8*x[86]+x[87]+8*x[90]+15*x[92]+9*x[93]+10*x[94]+3*x[95]+12*x[100]+13*x[101]+5*x[102]+x[104]+3*x[105]+6*x[106]+x[109])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+3*x[73]+4*x[75]+4*x[80]+4*x[81]+8*x[82]+4*x[85]+2*x[88]+14*x[89]+4*x[91]+6*x[96]+13*x[97]+9*x[98]+x[99]+12*x[103]+5*x[107]+5*x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+2*x[78]+4*x[79]+5*x[83]+5*x[84]+5*x[86]+x[87]+4*x[90]+10*x[92]+6*x[93]+7*x[94]+x[95]+9*x[100]+8*x[101]+4*x[102]+2*x[104]+4*x[105]+6*x[106]+x[109]+2*x[110])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+3*x[85]+x[88]+8*x[89]+3*x[91]+4*x[96]+8*x[97]+6*x[98]+9*x[103]+3*x[107]+5*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+6*x[92]+3*x[93]+3*x[94]+x[95]+7*x[100]+6*x[101]+2*x[102]+x[104]+3*x[105]+4*x[106]+2*x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+3*x[98]+6*x[103]+3*x[107]+4*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+4*x[100]+3*x[101]+2*x[102]+x[104]+3*x[105]+3*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+2*x[107]+3*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]+x[111])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #13.1 : c = () |O_x_c^F| = q^50*(q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^6+1)^2*(q^12+1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,13,1] = (x[16])*q^38 + (x[17]+x[18]+x[26]+x[35])*q^37 + (x[20]+x[22]+x[23]+x[24]+x[27]+2*x[28]+x[32]+2*x[34]+x[38]+x[39]+x[42]+x[43])*q^36 + (3*x[26]+x[29]+x[30]+x[33]+3*x[35]+3*x[37]+3*x[40]+3*x[41]+x[45]+3*x[47]+x[48]+x[57]+x[58])*q^35 + (x[22]+x[23]+2*x[24]+x[25]+x[27]+2*x[28]+x[31]+2*x[32]+5*x[34]+x[36]+2*x[38]+5*x[39]+3*x[42]+7*x[43]+3*x[44]+2*x[49]+2*x[53]+2*x[54]+x[55]+x[56]+2*x[61]+3*x[62]+3*x[63]+x[64]+x[65]+x[71])*q^34 + (3*x[26]+3*x[29]+2*x[30]+x[33]+6*x[35]+4*x[37]+5*x[40]+7*x[41]+7*x[45]+9*x[47]+4*x[48]+2*x[51]+x[52]+8*x[57]+7*x[58]+x[59]+3*x[67]+4*x[68]+2*x[69]+x[73]+x[75]+x[80])*q^33 + (x[23]+x[24]+x[27]+2*x[28]+2*x[31]+3*x[32]+7*x[34]+x[36]+5*x[38]+8*x[39]+6*x[42]+13*x[43]+6*x[44]+4*x[49]+8*x[53]+5*x[54]+6*x[55]+x[56]+5*x[60]+9*x[61]+12*x[62]+8*x[63]+4*x[64]+3*x[65]+3*x[70]+8*x[71]+x[72]+2*x[74]+3*x[79]+2*x[83])*q^32 + (2*x[26]+x[29]+x[30]+x[33]+7*x[35]+6*x[37]+7*x[40]+10*x[41]+12*x[45]+14*x[47]+7*x[48]+5*x[51]+3*x[52]+20*x[57]+16*x[58]+10*x[67]+14*x[68]+7*x[69]+5*x[73]+8*x[75]+5*x[80]+x[81]+6*x[82]+x[85]+x[89])*q^31 + (2*x[28]+x[31]+2*x[32]+6*x[34]+2*x[36]+4*x[38]+8*x[39]+9*x[42]+17*x[43]+7*x[44]+x[46]+7*x[49]+2*x[50]+15*x[53]+9*x[54]+11*x[55]+5*x[56]+12*x[60]+15*x[61]+20*x[62]+17*x[63]+6*x[64]+5*x[65]+9*x[70]+20*x[71]+2*x[72]+7*x[74]+2*x[76]+x[77]+x[78]+12*x[79]+10*x[83]+4*x[84]+4*x[86]+x[90]+x[93]+2*x[94])*q^30 + (x[30]+x[33]+5*x[35]+5*x[37]+6*x[40]+9*x[41]+12*x[45]+17*x[47]+7*x[48]+8*x[51]+7*x[52]+29*x[57]+23*x[58]+3*x[59]+18*x[67]+26*x[68]+10*x[69]+12*x[73]+20*x[75]+15*x[80]+4*x[81]+16*x[82]+5*x[85]+4*x[88]+8*x[89]+x[97]+x[98])*q^29 + (x[31]+x[32]+3*x[34]+x[36]+3*x[38]+6*x[39]+9*x[42]+13*x[43]+6*x[44]+x[46]+9*x[49]+2*x[50]+17*x[53]+12*x[54]+13*x[55]+6*x[56]+17*x[60]+19*x[61]+24*x[62]+20*x[63]+6*x[64]+6*x[65]+x[66]+15*x[70]+33*x[71]+3*x[72]+12*x[74]+6*x[76]+5*x[77]+2*x[78]+24*x[79]+23*x[83]+11*x[84]+11*x[86]+4*x[90]+3*x[92]+6*x[93]+6*x[94]+3*x[95])*q^28 + (2*x[35]+2*x[37]+3*x[40]+6*x[41]+10*x[45]+13*x[47]+6*x[48]+8*x[51]+5*x[52]+29*x[57]+22*x[58]+2*x[59]+24*x[67]+32*x[68]+13*x[69]+19*x[73]+29*x[75]+23*x[80]+9*x[81]+29*x[82]+8*x[85]+6*x[88]+21*x[89]+2*x[91]+x[96]+6*x[97]+5*x[98]+x[99])*q^27 + (x[34]+x[36]+x[38]+2*x[39]+6*x[42]+8*x[43]+4*x[44]+7*x[49]+x[50]+16*x[53]+9*x[54]+11*x[55]+3*x[56]+18*x[60]+16*x[61]+21*x[62]+15*x[63]+7*x[64]+4*x[65]+18*x[70]+38*x[71]+5*x[72]+15*x[74]+6*x[76]+8*x[77]+4*x[78]+31*x[79]+33*x[83]+20*x[84]+19*x[86]+2*x[87]+8*x[90]+10*x[92]+11*x[93]+13*x[94]+2*x[95]+2*x[100]+3*x[101]+x[102])*q^26 + (x[37]+x[40]+3*x[41]+5*x[45]+7*x[47]+3*x[48]+6*x[51]+4*x[52]+21*x[57]+17*x[58]+x[59]+22*x[67]+28*x[68]+13*x[69]+20*x[73]+32*x[75]+24*x[80]+13*x[81]+35*x[82]+13*x[85]+7*x[88]+33*x[89]+4*x[91]+2*x[96]+14*x[97]+10*x[98]+3*x[103])*q^25 + (x[39]+3*x[42]+3*x[43]+x[44]+x[46]+5*x[49]+x[50]+9*x[53]+7*x[54]+8*x[55]+3*x[56]+14*x[60]+11*x[61]+12*x[62]+10*x[63]+4*x[64]+4*x[65]+15*x[70]+32*x[71]+5*x[72]+14*x[74]+6*x[76]+11*x[77]+6*x[78]+30*x[79]+35*x[83]+23*x[84]+22*x[86]+2*x[87]+12*x[90]+16*x[92]+16*x[93]+19*x[94]+3*x[95]+6*x[100]+8*x[101]+4*x[102]+x[106])*q^24 + (x[41]+2*x[45]+3*x[47]+x[48]+3*x[51]+2*x[52]+12*x[57]+9*x[58]+x[59]+15*x[67]+20*x[68]+8*x[69]+18*x[73]+25*x[75]+22*x[80]+14*x[81]+31*x[82]+13*x[85]+9*x[88]+37*x[89]+6*x[91]+6*x[96]+20*x[97]+14*x[98]+7*x[103]+2*x[107])*q^23 + (x[42]+x[43]+x[44]+2*x[49]+5*x[53]+2*x[54]+3*x[55]+x[56]+9*x[60]+5*x[61]+6*x[62]+5*x[63]+2*x[64]+x[65]+11*x[70]+22*x[71]+4*x[72]+11*x[74]+5*x[76]+9*x[77]+6*x[78]+22*x[79]+28*x[83]+22*x[84]+20*x[86]+2*x[87]+14*x[90]+20*x[92]+17*x[93]+18*x[94]+5*x[95]+10*x[100]+12*x[101]+6*x[102]+x[104]+3*x[106])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+5*x[57]+4*x[58]+9*x[67]+11*x[68]+5*x[69]+11*x[73]+15*x[75]+14*x[80]+11*x[81]+24*x[82]+11*x[85]+6*x[88]+33*x[89]+8*x[91]+8*x[96]+21*x[97]+15*x[98]+x[99]+11*x[103]+4*x[107]+x[108])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+4*x[60]+2*x[61]+3*x[62]+2*x[63]+x[65]+5*x[70]+11*x[71]+3*x[72]+7*x[74]+2*x[76]+8*x[77]+5*x[78]+14*x[79]+18*x[83]+16*x[84]+14*x[86]+2*x[87]+10*x[90]+21*x[92]+15*x[93]+16*x[94]+3*x[95]+11*x[100]+14*x[101]+5*x[102]+x[104]+x[105]+5*x[106]+x[109])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+4*x[67]+5*x[68]+2*x[69]+7*x[73]+8*x[75]+8*x[80]+7*x[81]+14*x[82]+7*x[85]+4*x[88]+23*x[89]+6*x[91]+8*x[96]+19*x[97]+13*x[98]+x[99]+14*x[103]+3*x[107]+2*x[108])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+6*x[71]+x[72]+3*x[74]+2*x[76]+4*x[77]+4*x[78]+7*x[79]+10*x[83]+11*x[84]+8*x[86]+x[87]+8*x[90]+15*x[92]+9*x[93]+10*x[94]+3*x[95]+12*x[100]+13*x[101]+5*x[102]+x[104]+3*x[105]+6*x[106]+x[109])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+3*x[73]+4*x[75]+4*x[80]+4*x[81]+8*x[82]+4*x[85]+2*x[88]+14*x[89]+4*x[91]+6*x[96]+13*x[97]+9*x[98]+x[99]+12*x[103]+5*x[107]+5*x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+2*x[78]+4*x[79]+5*x[83]+5*x[84]+5*x[86]+x[87]+4*x[90]+10*x[92]+6*x[93]+7*x[94]+x[95]+9*x[100]+8*x[101]+4*x[102]+2*x[104]+4*x[105]+6*x[106]+x[109]+2*x[110])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+3*x[85]+x[88]+8*x[89]+3*x[91]+4*x[96]+8*x[97]+6*x[98]+9*x[103]+3*x[107]+5*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+6*x[92]+3*x[93]+3*x[94]+x[95]+7*x[100]+6*x[101]+2*x[102]+x[104]+3*x[105]+4*x[106]+2*x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+3*x[98]+6*x[103]+3*x[107]+4*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+4*x[100]+3*x[101]+2*x[102]+x[104]+3*x[105]+3*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+2*x[107]+3*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]+x[111])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #14 : D4(a1) dim = 166 A(O) = S3 , |A(O)_0| = 3 g_s = 2*V[6]+25*V[4]+27*V[2]+28*V[0] Z_G(x)_0 = D4 # Green Polys by orbit reps #14.1 : x[17] : D4(a1),[3] : phi[1400,37] Qxi[E8,14,1] = (x[17])*q^37 + (x[20]+x[23]+x[28]+x[34])*q^36 + (x[26]+x[35]+2*x[37]+x[40]+x[41]+x[47])*q^35 + (x[24]+x[28]+x[32]+x[34]+x[38]+2*x[39]+x[42]+3*x[43]+x[44]+x[49]+x[61]+x[62]+x[63])*q^34 + (x[26]+x[29]+x[30]+3*x[35]+x[37]+x[40]+2*x[41]+3*x[45]+4*x[47]+2*x[48]+3*x[57]+x[58]+x[67]+2*x[68]+x[69])*q^33 + (x[23]+x[28]+x[31]+x[32]+3*x[34]+2*x[38]+3*x[39]+2*x[42]+5*x[43]+2*x[44]+2*x[49]+2*x[53]+x[54]+2*x[55]+2*x[60]+4*x[61]+5*x[62]+3*x[63]+x[64]+x[65]+x[70]+3*x[71]+x[74]+x[79])*q^32 + (x[26]+x[33]+2*x[35]+4*x[37]+4*x[40]+4*x[41]+4*x[45]+6*x[47]+2*x[48]+2*x[51]+x[52]+7*x[57]+7*x[58]+3*x[67]+6*x[68]+2*x[69]+3*x[73]+3*x[75]+2*x[80]+2*x[82])*q^31 + (x[28]+x[32]+3*x[34]+x[36]+x[38]+3*x[39]+3*x[42]+8*x[43]+3*x[44]+4*x[49]+x[50]+6*x[53]+4*x[54]+5*x[55]+3*x[56]+4*x[60]+6*x[61]+7*x[62]+9*x[63]+2*x[64]+3*x[65]+3*x[70]+8*x[71]+2*x[74]+x[76]+x[78]+4*x[79]+5*x[83]+2*x[84]+x[86]+x[93])*q^30 + (x[30]+3*x[35]+2*x[37]+2*x[40]+4*x[41]+6*x[45]+8*x[47]+3*x[48]+3*x[51]+3*x[52]+13*x[57]+10*x[58]+x[59]+7*x[67]+12*x[68]+4*x[69]+6*x[73]+8*x[75]+6*x[80]+x[81]+6*x[82]+2*x[85]+2*x[88]+3*x[89]+x[97])*q^29 + (x[31]+x[32]+x[34]+2*x[38]+4*x[39]+5*x[42]+6*x[43]+3*x[44]+4*x[49]+7*x[53]+4*x[54]+6*x[55]+x[56]+9*x[60]+10*x[61]+13*x[62]+8*x[63]+2*x[64]+2*x[65]+6*x[70]+15*x[71]+x[72]+6*x[74]+2*x[76]+2*x[77]+x[78]+11*x[79]+9*x[83]+5*x[84]+5*x[86]+x[90]+x[92]+2*x[93]+3*x[94]+x[95])*q^28 + (x[35]+x[37]+2*x[40]+4*x[41]+6*x[45]+7*x[47]+3*x[48]+3*x[51]+x[52]+15*x[57]+9*x[58]+12*x[67]+16*x[68]+7*x[69]+8*x[73]+14*x[75]+9*x[80]+4*x[81]+15*x[82]+3*x[85]+x[88]+9*x[89]+x[91]+2*x[97]+3*x[98])*q^27 + (x[34]+x[36]+x[39]+3*x[42]+5*x[43]+3*x[44]+4*x[49]+x[50]+9*x[53]+5*x[54]+6*x[55]+2*x[56]+9*x[60]+9*x[61]+10*x[62]+9*x[63]+3*x[64]+2*x[65]+9*x[70]+19*x[71]+2*x[72]+7*x[74]+3*x[76]+3*x[77]+2*x[78]+15*x[79]+16*x[83]+10*x[84]+9*x[86]+x[87]+3*x[90]+5*x[92]+5*x[93]+6*x[94]+x[100]+x[101])*q^26 + (x[37]+x[40]+2*x[41]+3*x[45]+4*x[47]+x[48]+5*x[51]+4*x[52]+12*x[57]+11*x[58]+x[59]+11*x[67]+15*x[68]+5*x[69]+12*x[73]+17*x[75]+14*x[80]+5*x[81]+16*x[82]+6*x[85]+5*x[88]+16*x[89]+2*x[91]+x[96]+8*x[97]+4*x[98]+x[103])*q^25 + (x[39]+2*x[42]+2*x[43]+x[44]+x[46]+3*x[49]+x[50]+6*x[53]+5*x[54]+6*x[55]+2*x[56]+8*x[60]+7*x[61]+7*x[62]+6*x[63]+2*x[64]+3*x[65]+9*x[70]+18*x[71]+2*x[72]+6*x[74]+4*x[76]+6*x[77]+4*x[78]+16*x[79]+20*x[83]+12*x[84]+11*x[86]+6*x[90]+7*x[92]+10*x[93]+8*x[94]+2*x[95]+3*x[100]+4*x[101]+3*x[102])*q^24 + (x[41]+2*x[45]+2*x[47]+x[48]+2*x[51]+x[52]+9*x[57]+5*x[58]+10*x[67]+12*x[68]+5*x[69]+10*x[73]+16*x[75]+12*x[80]+8*x[81]+18*x[82]+6*x[85]+4*x[88]+20*x[89]+3*x[91]+3*x[96]+11*x[97]+7*x[98]+3*x[103]+x[107])*q^23 + (x[42]+x[43]+x[44]+x[49]+4*x[53]+x[54]+2*x[55]+7*x[60]+4*x[61]+5*x[62]+3*x[63]+x[64]+8*x[70]+14*x[71]+3*x[72]+7*x[74]+3*x[76]+5*x[77]+3*x[78]+15*x[79]+15*x[83]+13*x[84]+13*x[86]+2*x[87]+7*x[90]+12*x[92]+8*x[93]+11*x[94]+x[95]+5*x[100]+6*x[101]+2*x[102]+2*x[106])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+7*x[67]+8*x[68]+3*x[69]+6*x[73]+11*x[75]+9*x[80]+8*x[81]+16*x[82]+6*x[85]+3*x[88]+20*x[89]+5*x[91]+3*x[96]+11*x[97]+9*x[98]+7*x[103]+x[107]+x[108])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+8*x[71]+2*x[72]+4*x[74]+2*x[76]+6*x[77]+3*x[78]+10*x[79]+13*x[83]+10*x[84]+10*x[86]+x[87]+7*x[90]+12*x[92]+10*x[93]+9*x[94]+2*x[95]+6*x[100]+8*x[101]+3*x[102]+x[105]+3*x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+6*x[73]+7*x[75]+7*x[80]+5*x[81]+9*x[82]+4*x[85]+4*x[88]+16*x[89]+4*x[91]+6*x[96]+13*x[97]+7*x[98]+x[99]+7*x[103]+2*x[107]+x[108])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+3*x[78]+6*x[79]+8*x[83]+8*x[84]+6*x[86]+x[87]+6*x[90]+10*x[92]+7*x[93]+6*x[94]+2*x[95]+7*x[100]+9*x[101]+4*x[102]+x[104]+x[105]+3*x[106]+x[109])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+3*x[85]+x[88]+11*x[89]+3*x[91]+4*x[96]+9*x[97]+6*x[98]+8*x[103]+3*x[107]+3*x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+8*x[92]+4*x[93]+6*x[94]+6*x[100]+6*x[101]+2*x[102]+x[104]+3*x[105]+4*x[106]+x[110])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+5*x[98]+7*x[103]+x[107]+3*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+5*x[100]+5*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+3*x[107]+3*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #14.2 : x[18] : D4(a1),[2, 1] : phi[1008,39] Qxi[E8,14,2] = (x[18])*q^37 + (x[24]+x[28]+x[38])*q^36 + (x[26]+x[29]+x[35]+x[37]+x[47]+x[48])*q^35 + (x[23]+x[24]+x[25]+x[28]+2*x[34]+x[38]+x[39]+2*x[43]+x[49]+x[62]+x[63]+x[64]+x[65])*q^34 + (x[26]+2*x[29]+x[33]+2*x[35]+3*x[37]+2*x[40]+x[41]+x[45]+3*x[47]+2*x[48]+x[57]+3*x[58]+x[59]+x[68]+x[69]+x[73])*q^33 + (x[24]+x[28]+x[32]+3*x[34]+3*x[38]+2*x[39]+x[42]+5*x[43]+x[44]+2*x[49]+x[53]+x[54]+x[55]+x[56]+x[60]+2*x[61]+4*x[62]+4*x[63]+3*x[64]+2*x[65]+2*x[71]+x[74]+x[83])*q^32 + (x[26]+x[29]+4*x[35]+2*x[37]+2*x[40]+2*x[41]+4*x[45]+6*x[47]+5*x[48]+5*x[57]+6*x[58]+2*x[67]+6*x[68]+4*x[69]+2*x[73]+x[75]+x[80]+2*x[82]+x[85])*q^31 + (x[28]+x[32]+3*x[34]+3*x[38]+3*x[39]+3*x[42]+7*x[43]+x[44]+3*x[49]+3*x[53]+2*x[54]+2*x[55]+x[56]+4*x[60]+5*x[61]+10*x[62]+6*x[63]+4*x[64]+2*x[65]+x[70]+7*x[71]+5*x[74]+3*x[79]+3*x[83]+2*x[84]+x[86]+x[94])*q^30 + (x[33]+2*x[35]+3*x[37]+3*x[40]+3*x[41]+4*x[45]+8*x[47]+4*x[48]+x[51]+x[52]+9*x[57]+10*x[58]+2*x[59]+5*x[67]+11*x[68]+6*x[69]+5*x[73]+5*x[75]+4*x[80]+7*x[82]+3*x[85]+x[88]+2*x[89]+x[98])*q^29 + (2*x[34]+x[36]+x[38]+2*x[39]+3*x[42]+6*x[43]+2*x[44]+5*x[49]+5*x[53]+5*x[54]+4*x[55]+4*x[56]+5*x[60]+6*x[61]+10*x[62]+10*x[63]+4*x[64]+4*x[65]+x[66]+3*x[70]+13*x[71]+6*x[74]+2*x[76]+x[77]+x[78]+7*x[79]+10*x[83]+5*x[84]+2*x[86]+x[92]+2*x[93]+3*x[94]+2*x[95])*q^28 + (x[35]+x[37]+x[40]+2*x[41]+3*x[45]+6*x[47]+3*x[48]+2*x[51]+2*x[52]+11*x[57]+11*x[58]+2*x[59]+7*x[67]+14*x[68]+6*x[69]+10*x[73]+8*x[75]+9*x[80]+x[81]+11*x[82]+5*x[85]+4*x[88]+7*x[89]+3*x[97]+2*x[98]+x[99])*q^27 + (x[38]+x[39]+3*x[42]+3*x[43]+x[44]+3*x[49]+5*x[53]+3*x[54]+4*x[55]+x[56]+7*x[60]+6*x[61]+10*x[62]+6*x[63]+4*x[64]+2*x[65]+5*x[70]+16*x[71]+x[72]+8*x[74]+x[76]+2*x[77]+2*x[78]+11*x[79]+14*x[83]+9*x[84]+5*x[86]+2*x[90]+3*x[92]+4*x[93]+6*x[94]+2*x[95]+x[100]+x[101]+x[102])*q^26 + (x[41]+2*x[45]+3*x[47]+2*x[48]+x[51]+8*x[57]+6*x[58]+9*x[67]+12*x[68]+8*x[69]+8*x[73]+11*x[75]+8*x[80]+3*x[81]+16*x[82]+7*x[85]+2*x[88]+12*x[89]+x[91]+5*x[97]+6*x[98]+x[103])*q^25 + (x[42]+x[43]+2*x[49]+3*x[53]+2*x[54]+2*x[55]+x[56]+5*x[60]+4*x[61]+5*x[62]+4*x[63]+2*x[64]+x[65]+5*x[70]+13*x[71]+2*x[72]+8*x[74]+x[76]+3*x[77]+2*x[78]+11*x[79]+14*x[83]+10*x[84]+8*x[86]+3*x[90]+7*x[92]+5*x[93]+10*x[94]+x[95]+3*x[100]+2*x[101]+x[102]+x[106])*q^24 + (x[47]+x[51]+x[52]+3*x[57]+4*x[58]+x[59]+5*x[67]+8*x[68]+3*x[69]+8*x[73]+8*x[75]+9*x[80]+4*x[81]+12*x[82]+7*x[85]+4*x[88]+14*x[89]+2*x[91]+x[96]+8*x[97]+7*x[98]+3*x[103]+x[107])*q^23 + (x[49]+x[53]+x[54]+x[55]+x[56]+2*x[60]+x[61]+x[62]+2*x[63]+x[64]+x[65]+3*x[70]+8*x[71]+x[72]+4*x[74]+2*x[76]+3*x[77]+3*x[78]+7*x[79]+12*x[83]+9*x[84]+6*x[86]+5*x[90]+7*x[92]+8*x[93]+7*x[94]+4*x[95]+5*x[100]+4*x[101]+3*x[102]+x[106])*q^22 + (x[57]+x[58]+2*x[67]+3*x[68]+2*x[69]+5*x[73]+4*x[75]+5*x[80]+3*x[81]+8*x[82]+5*x[85]+3*x[88]+12*x[89]+2*x[91]+3*x[96]+9*x[97]+6*x[98]+x[99]+4*x[103]+3*x[107])*q^21 + (x[60]+x[62]+x[70]+3*x[71]+x[72]+3*x[74]+2*x[77]+2*x[78]+4*x[79]+5*x[83]+6*x[84]+4*x[86]+x[87]+3*x[90]+8*x[92]+5*x[93]+7*x[94]+x[95]+5*x[100]+5*x[101]+2*x[102]+2*x[106]+x[109])*q^20 + (x[67]+x[68]+x[69]+x[73]+x[75]+x[80]+2*x[81]+5*x[82]+3*x[85]+7*x[89]+2*x[91]+2*x[96]+6*x[97]+6*x[98]+6*x[103]+x[107]+x[108])*q^19 + (x[71]+x[74]+x[77]+x[78]+x[79]+2*x[83]+3*x[84]+2*x[86]+2*x[90]+5*x[92]+2*x[93]+4*x[94]+x[95]+5*x[100]+4*x[101]+x[102]+x[105]+3*x[106])*q^18 + (x[73]+x[80]+x[82]+x[85]+x[88]+3*x[89]+x[91]+2*x[96]+4*x[97]+3*x[98]+x[99]+4*x[103]+2*x[107]+2*x[108])*q^17 + (x[78]+x[83]+x[84]+x[90]+2*x[92]+2*x[93]+x[94]+x[95]+3*x[100]+2*x[101]+2*x[102]+x[104]+x[105]+2*x[106]+x[109]+x[110])*q^16 + (x[85]+x[89]+x[96]+2*x[97]+x[98]+2*x[103]+2*x[107]+2*x[108])*q^15 + (x[92]+x[94]+2*x[100]+x[101]+x[105]+x[106]+x[110])*q^14 + (x[98]+2*x[103]+x[108])*q^13 + (x[100]+x[105]+x[106])*q^12 + (x[107]+x[108])*q^11 + (x[109]+x[110])*q^10 + (x[111])*q^9 #14.3 : x[19] : D4(a1),[1, 1, 1] : phi[56,49] Qxi[E8,14,3] = (x[19])*q^37 + (x[25]+x[66])*q^36 + (x[29]+x[59])*q^35 + (x[24]+x[38]+x[64])*q^34 + (x[29]+x[35]+2*x[48]+x[69])*q^33 + (x[25]+x[34]+x[38]+x[43]+x[62]+2*x[64]+x[74])*q^32 + (x[29]+x[33]+x[37]+x[40]+x[47]+x[48]+2*x[58]+2*x[59]+x[68]+x[69]+x[85])*q^31 + (x[34]+x[38]+x[43]+x[49]+x[54]+2*x[56]+x[62]+2*x[63]+2*x[64]+x[65]+x[66]+x[71]+x[74]+x[83]+x[95])*q^30 + (x[35]+x[47]+2*x[48]+x[57]+2*x[58]+x[59]+2*x[68]+2*x[69]+x[73]+x[80]+x[82]+x[85]+x[88]+x[99])*q^29 + (x[38]+x[42]+x[43]+x[60]+3*x[62]+2*x[64]+2*x[71]+3*x[74]+x[79]+x[83]+x[84]+x[94]+x[95])*q^28 + (x[47]+x[48]+x[57]+x[58]+x[59]+x[67]+2*x[68]+3*x[69]+3*x[82]+2*x[85]+x[89]+x[98])*q^27 + (x[49]+x[54]+x[56]+x[62]+x[63]+x[64]+x[66]+2*x[71]+2*x[74]+x[79]+2*x[83]+x[84]+x[92]+2*x[94]+x[95])*q^26 + (x[58]+x[59]+x[68]+x[69]+2*x[73]+2*x[80]+x[82]+2*x[85]+2*x[88]+x[89]+x[97]+x[98]+x[99])*q^25 + (x[64]+x[71]+x[74]+x[78]+2*x[83]+x[84]+x[90]+x[93]+x[94]+2*x[95]+x[100]+x[102])*q^24 + (x[69]+x[82]+2*x[85]+x[89]+x[97]+x[98]+x[107])*q^23 + (x[74]+x[92]+2*x[94]+x[100])*q^22 + (x[85]+x[98]+x[103])*q^21 + (x[95]+x[100])*q^20 + (x[99]+x[107])*q^19 + (x[109])*q^18 # Green Polys by conj class in A(O) #14.1 : c = () |O_x_c^F| = 1/6*q^54*(q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+1)*(q^12+1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,14,1] = (x[17]+2*x[18]+x[19])*q^37 + (x[20]+x[23]+2*x[24]+x[25]+3*x[28]+x[34]+2*x[38]+x[66])*q^36 + (3*x[26]+3*x[29]+3*x[35]+4*x[37]+x[40]+x[41]+3*x[47]+2*x[48]+x[59])*q^35 + (2*x[23]+4*x[24]+2*x[25]+3*x[28]+x[32]+5*x[34]+4*x[38]+4*x[39]+x[42]+7*x[43]+x[44]+3*x[49]+x[61]+3*x[62]+3*x[63]+3*x[64]+2*x[65])*q^34 + (3*x[26]+6*x[29]+x[30]+2*x[33]+8*x[35]+7*x[37]+5*x[40]+4*x[41]+5*x[45]+10*x[47]+8*x[48]+5*x[57]+7*x[58]+2*x[59]+x[67]+4*x[68]+4*x[69]+2*x[73])*q^33 + (x[23]+2*x[24]+x[25]+3*x[28]+x[31]+3*x[32]+10*x[34]+9*x[38]+7*x[39]+4*x[42]+16*x[43]+4*x[44]+6*x[49]+4*x[53]+3*x[54]+4*x[55]+2*x[56]+4*x[60]+8*x[61]+14*x[62]+11*x[63]+9*x[64]+5*x[65]+x[70]+7*x[71]+4*x[74]+x[79]+2*x[83])*q^32 + (3*x[26]+3*x[29]+2*x[33]+10*x[35]+9*x[37]+9*x[40]+8*x[41]+12*x[45]+19*x[47]+13*x[48]+2*x[51]+x[52]+17*x[57]+21*x[58]+2*x[59]+7*x[67]+19*x[68]+11*x[69]+7*x[73]+5*x[75]+4*x[80]+6*x[82]+3*x[85])*q^31 + (3*x[28]+3*x[32]+10*x[34]+x[36]+8*x[38]+9*x[39]+9*x[42]+23*x[43]+5*x[44]+11*x[49]+x[50]+12*x[53]+9*x[54]+9*x[55]+7*x[56]+12*x[60]+16*x[61]+28*x[62]+23*x[63]+12*x[64]+8*x[65]+x[66]+5*x[70]+23*x[71]+13*x[74]+x[76]+x[78]+10*x[79]+12*x[83]+6*x[84]+3*x[86]+x[93]+2*x[94]+x[95])*q^30 + (x[30]+2*x[33]+8*x[35]+8*x[37]+8*x[40]+10*x[41]+14*x[45]+25*x[47]+13*x[48]+5*x[51]+5*x[52]+32*x[57]+32*x[58]+6*x[59]+17*x[67]+36*x[68]+18*x[69]+17*x[73]+18*x[75]+15*x[80]+x[81]+21*x[82]+9*x[85]+5*x[88]+7*x[89]+x[97]+2*x[98]+x[99])*q^29 + (x[31]+x[32]+5*x[34]+2*x[36]+5*x[38]+8*x[39]+12*x[42]+19*x[43]+7*x[44]+14*x[49]+17*x[53]+14*x[54]+14*x[55]+9*x[56]+20*x[60]+22*x[61]+36*x[62]+28*x[63]+12*x[64]+10*x[65]+2*x[66]+12*x[70]+43*x[71]+x[72]+21*x[74]+6*x[76]+4*x[77]+3*x[78]+26*x[79]+30*x[83]+16*x[84]+9*x[86]+x[90]+3*x[92]+6*x[93]+10*x[94]+6*x[95])*q^28 + (3*x[35]+3*x[37]+4*x[40]+8*x[41]+12*x[45]+20*x[47]+10*x[48]+7*x[51]+5*x[52]+38*x[57]+32*x[58]+5*x[59]+27*x[67]+46*x[68]+22*x[69]+28*x[73]+30*x[75]+27*x[80]+6*x[81]+40*x[82]+15*x[85]+9*x[88]+24*x[89]+x[91]+8*x[97]+8*x[98]+2*x[99])*q^27 + (x[34]+x[36]+2*x[38]+3*x[39]+9*x[42]+11*x[43]+5*x[44]+11*x[49]+x[50]+19*x[53]+12*x[54]+14*x[55]+5*x[56]+23*x[60]+21*x[61]+31*x[62]+22*x[63]+12*x[64]+6*x[65]+x[66]+19*x[70]+53*x[71]+4*x[72]+25*x[74]+5*x[76]+7*x[77]+6*x[78]+38*x[79]+46*x[83]+29*x[84]+19*x[86]+x[87]+7*x[90]+12*x[92]+13*x[93]+20*x[94]+5*x[95]+3*x[100]+3*x[101]+2*x[102])*q^26 + (x[37]+x[40]+4*x[41]+7*x[45]+10*x[47]+5*x[48]+7*x[51]+4*x[52]+28*x[57]+24*x[58]+2*x[59]+29*x[67]+40*x[68]+22*x[69]+30*x[73]+39*x[75]+32*x[80]+11*x[81]+49*x[82]+22*x[85]+11*x[88]+41*x[89]+4*x[91]+x[96]+19*x[97]+17*x[98]+x[99]+3*x[103])*q^25 + (x[39]+4*x[42]+4*x[43]+x[44]+x[46]+7*x[49]+x[50]+12*x[53]+9*x[54]+10*x[55]+4*x[56]+18*x[60]+15*x[61]+17*x[62]+14*x[63]+7*x[64]+5*x[65]+19*x[70]+45*x[71]+6*x[72]+23*x[74]+6*x[76]+12*x[77]+9*x[78]+38*x[79]+50*x[83]+33*x[84]+27*x[86]+13*x[90]+21*x[92]+21*x[93]+29*x[94]+6*x[95]+10*x[100]+8*x[101]+6*x[102]+2*x[106])*q^24 + (x[41]+2*x[45]+4*x[47]+x[48]+4*x[51]+3*x[52]+15*x[57]+13*x[58]+2*x[59]+20*x[67]+28*x[68]+12*x[69]+26*x[73]+32*x[75]+30*x[80]+16*x[81]+43*x[82]+22*x[85]+12*x[88]+49*x[89]+7*x[91]+5*x[96]+28*x[97]+22*x[98]+9*x[103]+4*x[107])*q^23 + (x[42]+x[43]+x[44]+3*x[49]+6*x[53]+3*x[54]+4*x[55]+2*x[56]+11*x[60]+6*x[61]+7*x[62]+7*x[63]+3*x[64]+2*x[65]+14*x[70]+30*x[71]+5*x[72]+16*x[74]+7*x[76]+11*x[77]+9*x[78]+29*x[79]+39*x[83]+31*x[84]+25*x[86]+2*x[87]+17*x[90]+27*x[92]+24*x[93]+27*x[94]+9*x[95]+16*x[100]+14*x[101]+8*x[102]+4*x[106])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+6*x[57]+5*x[58]+11*x[67]+14*x[68]+7*x[69]+16*x[73]+19*x[75]+19*x[80]+14*x[81]+32*x[82]+17*x[85]+9*x[88]+44*x[89]+9*x[91]+9*x[96]+29*x[97]+22*x[98]+2*x[99]+16*x[103]+7*x[107]+x[108])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+5*x[60]+2*x[61]+4*x[62]+2*x[63]+x[65]+6*x[70]+14*x[71]+4*x[72]+10*x[74]+2*x[76]+10*x[77]+7*x[78]+18*x[79]+23*x[83]+22*x[84]+18*x[86]+3*x[87]+13*x[90]+28*x[92]+20*x[93]+23*x[94]+5*x[95]+17*x[100]+18*x[101]+7*x[102]+x[105]+7*x[106]+2*x[109])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+5*x[67]+6*x[68]+3*x[69]+8*x[73]+9*x[75]+9*x[80]+9*x[81]+19*x[82]+10*x[85]+4*x[88]+30*x[89]+8*x[91]+10*x[96]+25*x[97]+19*x[98]+2*x[99]+19*x[103]+5*x[107]+3*x[108])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+7*x[71]+x[72]+4*x[74]+2*x[76]+5*x[77]+5*x[78]+8*x[79]+12*x[83]+14*x[84]+10*x[86]+x[87]+10*x[90]+20*x[92]+11*x[93]+14*x[94]+4*x[95]+17*x[100]+17*x[101]+6*x[102]+x[104]+3*x[105]+9*x[106]+2*x[109])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+4*x[73]+4*x[75]+5*x[80]+4*x[81]+9*x[82]+5*x[85]+3*x[88]+17*x[89]+5*x[91]+8*x[96]+17*x[97]+12*x[98]+2*x[99]+16*x[103]+7*x[107]+7*x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+3*x[78]+4*x[79]+6*x[83]+6*x[84]+5*x[86]+x[87]+5*x[90]+12*x[92]+8*x[93]+8*x[94]+2*x[95]+12*x[100]+10*x[101]+6*x[102]+3*x[104]+5*x[105]+8*x[106]+2*x[109]+3*x[110])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+4*x[85]+x[88]+9*x[89]+3*x[91]+5*x[96]+10*x[97]+7*x[98]+11*x[103]+5*x[107]+7*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+7*x[92]+3*x[93]+4*x[94]+x[95]+9*x[100]+7*x[101]+2*x[102]+x[104]+4*x[105]+5*x[106]+3*x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+4*x[98]+8*x[103]+3*x[107]+5*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+5*x[100]+3*x[101]+2*x[102]+x[104]+4*x[105]+4*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+3*x[107]+4*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+2*x[109]+3*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]+2*x[111])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #14.2 : c = (1) |O_x_c^F| = 1/2*q^54*(q^6+1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,14,2] = (x[17]-x[19])*q^37 + (x[20]+x[23]-x[25]+x[28]+x[34]-x[66])*q^36 + (x[26]-x[29]+x[35]+2*x[37]+x[40]+x[41]+x[47]-x[59])*q^35 + (x[28]+x[32]+x[34]+2*x[39]+x[42]+3*x[43]+x[44]+x[49]+x[61]+x[62]+x[63]-x[64])*q^34 + (x[26]+x[30]+2*x[35]+x[37]+x[40]+2*x[41]+3*x[45]+4*x[47]+3*x[57]+x[58]+x[67]+2*x[68])*q^33 + (x[23]-x[25]+x[28]+x[31]+x[32]+2*x[34]+x[38]+3*x[39]+2*x[42]+4*x[43]+2*x[44]+2*x[49]+2*x[53]+x[54]+2*x[55]+2*x[60]+4*x[61]+4*x[62]+3*x[63]-x[64]+x[65]+x[70]+3*x[71]+x[79])*q^32 + (x[26]-x[29]+2*x[35]+3*x[37]+3*x[40]+4*x[41]+4*x[45]+5*x[47]+x[48]+2*x[51]+x[52]+7*x[57]+5*x[58]-2*x[59]+3*x[67]+5*x[68]+x[69]+3*x[73]+3*x[75]+2*x[80]+2*x[82]-x[85])*q^31 + (x[28]+x[32]+2*x[34]+x[36]+3*x[39]+3*x[42]+7*x[43]+3*x[44]+3*x[49]+x[50]+6*x[53]+3*x[54]+5*x[55]+x[56]+4*x[60]+6*x[61]+6*x[62]+7*x[63]+2*x[65]-x[66]+3*x[70]+7*x[71]+x[74]+x[76]+x[78]+4*x[79]+4*x[83]+2*x[84]+x[86]+x[93]-x[95])*q^30 + (x[30]+2*x[35]+2*x[37]+2*x[40]+4*x[41]+6*x[45]+7*x[47]+x[48]+3*x[51]+3*x[52]+12*x[57]+8*x[58]+7*x[67]+10*x[68]+2*x[69]+5*x[73]+8*x[75]+5*x[80]+x[81]+5*x[82]+x[85]+x[88]+3*x[89]+x[97]-x[99])*q^29 + (x[31]+x[32]+x[34]+x[38]+4*x[39]+4*x[42]+5*x[43]+3*x[44]+4*x[49]+7*x[53]+4*x[54]+6*x[55]+x[56]+8*x[60]+10*x[61]+10*x[62]+8*x[63]+2*x[65]+6*x[70]+13*x[71]+x[72]+3*x[74]+2*x[76]+2*x[77]+x[78]+10*x[79]+8*x[83]+4*x[84]+5*x[86]+x[90]+x[92]+2*x[93]+2*x[94])*q^28 + (x[35]+x[37]+2*x[40]+4*x[41]+6*x[45]+6*x[47]+2*x[48]+3*x[51]+x[52]+14*x[57]+8*x[58]-x[59]+11*x[67]+14*x[68]+4*x[69]+8*x[73]+14*x[75]+9*x[80]+4*x[81]+12*x[82]+x[85]+x[88]+8*x[89]+x[91]+2*x[97]+2*x[98])*q^27 + (x[34]+x[36]+x[39]+3*x[42]+5*x[43]+3*x[44]+3*x[49]+x[50]+9*x[53]+4*x[54]+6*x[55]+x[56]+9*x[60]+9*x[61]+9*x[62]+8*x[63]+2*x[64]+2*x[65]-x[66]+9*x[70]+17*x[71]+2*x[72]+5*x[74]+3*x[76]+3*x[77]+2*x[78]+14*x[79]+14*x[83]+9*x[84]+9*x[86]+x[87]+3*x[90]+4*x[92]+5*x[93]+4*x[94]-x[95]+x[100]+x[101])*q^26 + (x[37]+x[40]+2*x[41]+3*x[45]+4*x[47]+x[48]+5*x[51]+4*x[52]+12*x[57]+10*x[58]+11*x[67]+14*x[68]+4*x[69]+10*x[73]+17*x[75]+12*x[80]+5*x[81]+15*x[82]+4*x[85]+3*x[88]+15*x[89]+2*x[91]+x[96]+7*x[97]+3*x[98]-x[99]+x[103])*q^25 + (x[39]+2*x[42]+2*x[43]+x[44]+x[46]+3*x[49]+x[50]+6*x[53]+5*x[54]+6*x[55]+2*x[56]+8*x[60]+7*x[61]+7*x[62]+6*x[63]+x[64]+3*x[65]+9*x[70]+17*x[71]+2*x[72]+5*x[74]+4*x[76]+6*x[77]+3*x[78]+16*x[79]+18*x[83]+11*x[84]+11*x[86]+5*x[90]+7*x[92]+9*x[93]+7*x[94]+2*x[100]+4*x[101]+2*x[102])*q^24 + (x[41]+2*x[45]+2*x[47]+x[48]+2*x[51]+x[52]+9*x[57]+5*x[58]+10*x[67]+12*x[68]+4*x[69]+10*x[73]+16*x[75]+12*x[80]+8*x[81]+17*x[82]+4*x[85]+4*x[88]+19*x[89]+3*x[91]+3*x[96]+10*x[97]+6*x[98]+3*x[103])*q^23 + (x[42]+x[43]+x[44]+x[49]+4*x[53]+x[54]+2*x[55]+7*x[60]+4*x[61]+5*x[62]+3*x[63]+x[64]+8*x[70]+14*x[71]+3*x[72]+6*x[74]+3*x[76]+5*x[77]+3*x[78]+15*x[79]+15*x[83]+13*x[84]+13*x[86]+2*x[87]+7*x[90]+11*x[92]+8*x[93]+9*x[94]+x[95]+4*x[100]+6*x[101]+2*x[102]+2*x[106])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+7*x[67]+8*x[68]+3*x[69]+6*x[73]+11*x[75]+9*x[80]+8*x[81]+16*x[82]+5*x[85]+3*x[88]+20*x[89]+5*x[91]+3*x[96]+11*x[97]+8*x[98]+6*x[103]+x[107]+x[108])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+8*x[71]+2*x[72]+4*x[74]+2*x[76]+6*x[77]+3*x[78]+10*x[79]+13*x[83]+10*x[84]+10*x[86]+x[87]+7*x[90]+12*x[92]+10*x[93]+9*x[94]+x[95]+5*x[100]+8*x[101]+3*x[102]+x[105]+3*x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+6*x[73]+7*x[75]+7*x[80]+5*x[81]+9*x[82]+4*x[85]+4*x[88]+16*x[89]+4*x[91]+6*x[96]+13*x[97]+7*x[98]+7*x[103]+x[107]+x[108])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+3*x[78]+6*x[79]+8*x[83]+8*x[84]+6*x[86]+x[87]+6*x[90]+10*x[92]+7*x[93]+6*x[94]+2*x[95]+7*x[100]+9*x[101]+4*x[102]+x[104]+x[105]+3*x[106])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+3*x[85]+x[88]+11*x[89]+3*x[91]+4*x[96]+9*x[97]+6*x[98]+8*x[103]+3*x[107]+3*x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+8*x[92]+4*x[93]+6*x[94]+6*x[100]+6*x[101]+2*x[102]+x[104]+3*x[105]+4*x[106]+x[110])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+5*x[98]+7*x[103]+x[107]+3*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+5*x[100]+5*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+3*x[107]+3*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #14.3 : c = (12) |O_x_c^F| = 1/3*q^54*(q^4-1)*(q^6+1)*(q^8-1)*(q^12+1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,14,3] = (x[17]-x[18]+x[19])*q^37 + (x[20]+x[23]-x[24]+x[25]+x[34]-x[38]+x[66])*q^36 + (x[37]+x[40]+x[41]-x[48]+x[59])*q^35 + (-x[23]+x[24]-x[25]+x[32]-x[34]+x[38]+x[39]+x[42]+x[43]+x[44]+x[61]-x[65])*q^34 + (x[30]-x[33]+2*x[35]-2*x[37]-x[40]+x[41]+2*x[45]+x[47]+2*x[48]+2*x[57]-2*x[58]-x[59]+x[67]+x[68]+x[69]-x[73])*q^33 + (x[23]-x[24]+x[25]+x[31]+x[34]+x[39]+x[42]+x[43]+x[44]+x[53]+x[55]-x[56]+x[60]+2*x[61]+2*x[62]-x[63]-x[65]+x[70]+x[71]+x[74]+x[79]-x[83])*q^32 + (2*x[33]-2*x[35]+3*x[37]+3*x[40]+2*x[41]+x[47]-2*x[48]+2*x[51]+x[52]+2*x[57]+3*x[58]+2*x[59]+x[67]+x[68]-x[69]+x[73]+2*x[75]+x[80])*q^31 + (x[34]+x[36]-x[38]+2*x[43]+2*x[44]+2*x[49]+x[50]+3*x[53]+3*x[54]+3*x[55]+4*x[56]+x[61]-2*x[62]+5*x[63]+2*x[65]+x[66]+2*x[70]+2*x[71]-2*x[74]+x[76]+x[78]+x[79]+3*x[83]+x[93]-x[94]+x[95])*q^30 + (x[30]-x[33]+2*x[35]-x[37]-x[40]+x[41]+2*x[45]+x[47]+x[48]+2*x[51]+2*x[52]+5*x[57]+2*x[58]+2*x[67]+3*x[68]+2*x[73]+3*x[75]+3*x[80]+x[81]+2*x[88]+x[89]+x[97]-x[98]+x[99])*q^29 + (x[31]+x[32]-x[34]-x[36]+2*x[38]+2*x[39]+3*x[42]+x[43]+x[44]-x[49]+2*x[53]-x[54]+2*x[55]-3*x[56]+5*x[60]+4*x[61]+6*x[62]-2*x[63]-2*x[65]-x[66]+3*x[70]+4*x[71]+x[72]+3*x[74]+x[77]+5*x[79]+x[84]+3*x[86]+x[90]+x[94])*q^28 + (x[40]+2*x[41]+3*x[45]+2*x[47]+x[48]+x[51]-x[52]+5*x[57]-x[58]-x[59]+6*x[67]+4*x[68]+4*x[69]-2*x[73]+6*x[75]+3*x[81]+7*x[82]-3*x[88]+3*x[89]+x[91]-x[97]+2*x[98]-x[99])*q^27 + (x[34]+x[36]-x[38]+2*x[43]+2*x[44]+2*x[49]+x[50]+4*x[53]+3*x[54]+2*x[55]+2*x[56]+2*x[60]+3*x[61]+x[62]+4*x[63]+x[66]+4*x[70]+5*x[71]+x[72]+x[74]+2*x[76]+x[77]+5*x[79]+4*x[83]+2*x[84]+4*x[86]+x[87]+x[90]+3*x[92]+x[93]+2*x[94]-x[95]-x[102])*q^26 + (x[37]+x[40]+x[41]+x[45]+x[47]-x[48]+4*x[51]+4*x[52]+4*x[57]+6*x[58]+2*x[59]+2*x[67]+4*x[68]-2*x[69]+6*x[73]+6*x[75]+8*x[80]+2*x[81]+x[82]+x[85]+5*x[88]+5*x[89]+x[91]+x[96]+4*x[97]-x[98]+x[99])*q^25 + (x[39]+x[42]+x[43]+x[44]+x[46]+x[49]+x[50]+3*x[53]+3*x[54]+4*x[55]+x[56]+3*x[60]+3*x[61]+2*x[62]+2*x[63]+x[64]+2*x[65]+4*x[70]+6*x[71]-x[74]+3*x[76]+3*x[77]+3*x[78]+5*x[79]+8*x[83]+3*x[84]+3*x[86]+4*x[90]+6*x[93]-x[94]+3*x[95]+x[100]+2*x[101]+3*x[102]-x[106])*q^24 + (x[41]+2*x[45]+x[47]+x[48]+x[51]+6*x[57]+x[58]-x[59]+5*x[67]+4*x[68]+3*x[69]+2*x[73]+8*x[75]+3*x[80]+4*x[81]+7*x[82]+x[85]+7*x[89]+x[91]+2*x[96]+4*x[97]+x[98]+x[107])*q^23 + (x[42]+x[43]+x[44]+3*x[53]+x[55]-x[56]+5*x[60]+3*x[61]+4*x[62]+x[63]-x[65]+5*x[70]+6*x[71]+2*x[72]+4*x[74]+x[76]+2*x[77]+8*x[79]+3*x[83]+4*x[84]+7*x[86]+2*x[87]+2*x[90]+6*x[92]+6*x[94]-3*x[95]+x[100]+2*x[101]-x[102]+x[106])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+3*x[57]+2*x[58]+5*x[67]+5*x[68]+x[69]+x[73]+7*x[75]+4*x[80]+5*x[81]+8*x[82]+2*x[85]+8*x[89]+3*x[91]+2*x[97]+4*x[98]-x[99]+4*x[103]-2*x[107]+x[108])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+2*x[60]+2*x[61]+x[62]+2*x[63]+x[65]+3*x[70]+5*x[71]+x[72]+x[74]+2*x[76]+4*x[77]+x[78]+6*x[79]+8*x[83]+4*x[84]+6*x[86]+4*x[90]+4*x[92]+5*x[93]+2*x[94]+2*x[95]+2*x[100]+3*x[101]+x[102]+x[105]+x[106]-x[109])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+2*x[67]+3*x[68]+5*x[73]+6*x[75]+6*x[80]+3*x[81]+4*x[82]+x[85]+4*x[88]+9*x[89]+2*x[91]+4*x[96]+7*x[97]+x[98]+2*x[99]+x[103]+2*x[107])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+4*x[71]+x[72]+x[74]+2*x[76]+2*x[77]+2*x[78]+5*x[79]+6*x[83]+5*x[84]+4*x[86]+x[87]+4*x[90]+5*x[92]+5*x[93]+2*x[94]+x[95]+2*x[100]+5*x[101]+3*x[102]+x[104]+2*x[109])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+x[73]+4*x[75]+2*x[80]+4*x[81]+6*x[82]+2*x[85]+8*x[89]+2*x[91]+2*x[96]+5*x[97]+3*x[98]-x[99]+4*x[103]+x[107]+x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+4*x[79]+3*x[83]+3*x[84]+5*x[86]+x[87]+2*x[90]+6*x[92]+2*x[93]+5*x[94]-x[95]+3*x[100]+4*x[101]+2*x[105]+2*x[106]-x[109])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+x[85]+x[88]+6*x[89]+3*x[91]+2*x[96]+4*x[97]+4*x[98]+5*x[103]-x[107]+x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+4*x[92]+3*x[93]+x[94]+x[95]+3*x[100]+4*x[101]+2*x[102]+x[104]+x[105]+2*x[106])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+x[98]+2*x[103]+3*x[107]+2*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+2*x[100]+3*x[101]+2*x[102]+x[104]+x[105]+x[106]+x[109]+2*x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]-x[109])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]-x[111])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #15 : D4 dim = 168 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+26*V[6]+V[2]+52*V[0] Z_G(x)_0 = F4 # Green Polys by orbit reps #15.1 : x[20] : D4,[1] : phi[525,36] Qxi[E8,15,1] = (x[20])*q^36 + (x[37])*q^35 + (x[43]+x[49])*q^34 + (x[45]+x[47]+x[48]+x[68])*q^33 + (x[31]+x[38]+x[43]+x[49]+x[60]+x[61]+x[62]+x[71]+x[74])*q^32 + (x[37]+x[45]+x[47]+x[48]+x[57]+x[58]+2*x[68]+x[69]+x[73]+x[75]+x[82])*q^31 + (2*x[43]+2*x[49]+x[53]+x[55]+x[56]+2*x[60]+x[62]+2*x[63]+x[64]+x[65]+2*x[71]+x[74]+x[78]+x[79]+2*x[83]+x[84])*q^30 + (x[37]+x[45]+x[47]+x[48]+x[52]+2*x[57]+3*x[58]+x[59]+4*x[68]+x[69]+3*x[73]+2*x[75]+x[80]+2*x[82]+x[85]+x[88]+x[89]+x[97])*q^29 + (x[31]+x[38]+x[43]+2*x[49]+x[53]+x[54]+x[55]+x[56]+3*x[60]+2*x[61]+3*x[62]+2*x[63]+x[64]+x[65]+4*x[71]+3*x[74]+x[76]+x[77]+x[78]+2*x[79]+4*x[83]+2*x[84]+x[86]+x[92]+x[93]+x[94]+x[95])*q^28 + (2*x[45]+2*x[47]+2*x[48]+2*x[57]+2*x[58]+2*x[67]+6*x[68]+3*x[69]+3*x[73]+4*x[75]+2*x[80]+6*x[82]+2*x[85]+x[88]+3*x[89]+x[91]+x[97]+2*x[98])*q^27 + (2*x[43]+2*x[49]+2*x[53]+4*x[60]+2*x[61]+4*x[62]+2*x[63]+2*x[64]+x[70]+6*x[71]+5*x[74]+x[76]+x[77]+x[78]+4*x[79]+6*x[83]+5*x[84]+3*x[86]+x[90]+3*x[92]+x[93]+3*x[94]+x[100])*q^26 + (x[37]+x[45]+x[47]+x[48]+x[52]+3*x[57]+4*x[58]+x[59]+2*x[67]+7*x[68]+3*x[69]+5*x[73]+5*x[75]+3*x[80]+x[81]+8*x[82]+4*x[85]+2*x[88]+6*x[89]+x[91]+4*x[97]+3*x[98]+x[103])*q^25 + (x[43]+x[46]+2*x[49]+x[53]+2*x[54]+2*x[55]+2*x[56]+4*x[60]+2*x[61]+3*x[62]+3*x[63]+2*x[64]+3*x[65]+x[66]+x[70]+7*x[71]+4*x[74]+2*x[76]+3*x[77]+3*x[78]+5*x[79]+10*x[83]+6*x[84]+3*x[86]+x[90]+4*x[92]+4*x[93]+5*x[94]+2*x[95]+2*x[100]+2*x[101]+2*x[102])*q^24 + (x[45]+x[47]+x[48]+x[52]+3*x[57]+4*x[58]+x[59]+2*x[67]+7*x[68]+3*x[69]+7*x[73]+6*x[75]+5*x[80]+x[81]+9*x[82]+5*x[85]+4*x[88]+9*x[89]+x[91]+x[96]+7*x[97]+4*x[98]+x[99]+2*x[103]+x[107])*q^23 + (x[43]+x[49]+2*x[53]+4*x[60]+2*x[61]+4*x[62]+2*x[63]+2*x[64]+2*x[70]+8*x[71]+6*x[74]+2*x[76]+2*x[77]+2*x[78]+6*x[79]+10*x[83]+9*x[84]+5*x[86]+3*x[90]+7*x[92]+4*x[93]+6*x[94]+2*x[95]+4*x[100]+3*x[101]+2*x[102]+x[106])*q^22 + (x[45]+x[47]+x[48]+2*x[57]+2*x[58]+4*x[67]+7*x[68]+4*x[69]+4*x[73]+6*x[75]+4*x[80]+2*x[81]+12*x[82]+6*x[85]+2*x[88]+11*x[89]+3*x[91]+x[96]+7*x[97]+8*x[98]+4*x[103]+x[107]+x[108])*q^21 + (x[49]+x[53]+x[54]+x[55]+x[56]+3*x[60]+2*x[61]+3*x[62]+2*x[63]+x[64]+x[65]+x[70]+6*x[71]+x[72]+6*x[74]+x[76]+4*x[77]+2*x[78]+7*x[79]+10*x[83]+8*x[84]+6*x[86]+2*x[90]+9*x[92]+5*x[93]+9*x[94]+2*x[95]+5*x[100]+4*x[101]+2*x[102]+x[105]+3*x[106])*q^20 + (x[52]+2*x[57]+3*x[58]+x[59]+2*x[67]+5*x[68]+2*x[69]+6*x[73]+5*x[75]+5*x[80]+2*x[81]+9*x[82]+6*x[85]+4*x[88]+12*x[89]+2*x[91]+2*x[96]+10*x[97]+7*x[98]+x[99]+6*x[103]+2*x[107]+x[108])*q^19 + (x[53]+x[55]+x[56]+2*x[60]+x[62]+2*x[63]+x[64]+x[65]+2*x[70]+6*x[71]+3*x[74]+2*x[76]+2*x[77]+3*x[78]+5*x[79]+10*x[83]+9*x[84]+4*x[86]+4*x[90]+8*x[92]+6*x[93]+6*x[94]+4*x[95]+7*x[100]+7*x[101]+4*x[102]+x[105]+2*x[106]+x[109])*q^18 + (x[57]+x[58]+2*x[67]+3*x[68]+2*x[69]+4*x[73]+4*x[75]+4*x[80]+2*x[81]+8*x[82]+5*x[85]+3*x[88]+11*x[89]+2*x[91]+3*x[96]+10*x[97]+7*x[98]+x[99]+6*x[103]+4*x[107]+2*x[108])*q^17 + (x[60]+x[61]+x[62]+x[70]+3*x[71]+x[72]+4*x[74]+3*x[77]+x[78]+5*x[79]+6*x[83]+6*x[84]+5*x[86]+2*x[90]+9*x[92]+5*x[93]+8*x[94]+x[95]+7*x[100]+5*x[101]+3*x[102]+x[104]+2*x[105]+4*x[106]+x[109]+x[110])*q^16 + (2*x[67]+2*x[68]+x[69]+x[73]+2*x[75]+2*x[80]+2*x[81]+6*x[82]+4*x[85]+x[88]+9*x[89]+3*x[91]+2*x[96]+7*x[97]+8*x[98]+8*x[103]+2*x[107]+3*x[108])*q^15 + (x[70]+2*x[71]+x[74]+x[76]+x[77]+x[78]+2*x[79]+4*x[83]+5*x[84]+3*x[86]+3*x[90]+7*x[92]+3*x[93]+5*x[94]+2*x[95]+7*x[100]+6*x[101]+2*x[102]+2*x[105]+4*x[106]+x[110])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+2*x[82]+2*x[85]+2*x[88]+6*x[89]+x[91]+3*x[96]+7*x[97]+4*x[98]+x[99]+6*x[103]+4*x[107]+3*x[108])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[87]+2*x[90]+4*x[92]+4*x[93]+3*x[94]+x[95]+5*x[100]+4*x[101]+4*x[102]+x[104]+2*x[105]+3*x[106]+2*x[109]+2*x[110])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+4*x[97]+3*x[98]+5*x[103]+3*x[107]+3*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+4*x[100]+3*x[101]+2*x[105]+3*x[106]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+3*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #15.1 : c = () |O_x_c^F| = q^68*(q^6+1)*(q^12+1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,15,1] = (x[20])*q^36 + (x[37])*q^35 + (x[43]+x[49])*q^34 + (x[45]+x[47]+x[48]+x[68])*q^33 + (x[31]+x[38]+x[43]+x[49]+x[60]+x[61]+x[62]+x[71]+x[74])*q^32 + (x[37]+x[45]+x[47]+x[48]+x[57]+x[58]+2*x[68]+x[69]+x[73]+x[75]+x[82])*q^31 + (2*x[43]+2*x[49]+x[53]+x[55]+x[56]+2*x[60]+x[62]+2*x[63]+x[64]+x[65]+2*x[71]+x[74]+x[78]+x[79]+2*x[83]+x[84])*q^30 + (x[37]+x[45]+x[47]+x[48]+x[52]+2*x[57]+3*x[58]+x[59]+4*x[68]+x[69]+3*x[73]+2*x[75]+x[80]+2*x[82]+x[85]+x[88]+x[89]+x[97])*q^29 + (x[31]+x[38]+x[43]+2*x[49]+x[53]+x[54]+x[55]+x[56]+3*x[60]+2*x[61]+3*x[62]+2*x[63]+x[64]+x[65]+4*x[71]+3*x[74]+x[76]+x[77]+x[78]+2*x[79]+4*x[83]+2*x[84]+x[86]+x[92]+x[93]+x[94]+x[95])*q^28 + (2*x[45]+2*x[47]+2*x[48]+2*x[57]+2*x[58]+2*x[67]+6*x[68]+3*x[69]+3*x[73]+4*x[75]+2*x[80]+6*x[82]+2*x[85]+x[88]+3*x[89]+x[91]+x[97]+2*x[98])*q^27 + (2*x[43]+2*x[49]+2*x[53]+4*x[60]+2*x[61]+4*x[62]+2*x[63]+2*x[64]+x[70]+6*x[71]+5*x[74]+x[76]+x[77]+x[78]+4*x[79]+6*x[83]+5*x[84]+3*x[86]+x[90]+3*x[92]+x[93]+3*x[94]+x[100])*q^26 + (x[37]+x[45]+x[47]+x[48]+x[52]+3*x[57]+4*x[58]+x[59]+2*x[67]+7*x[68]+3*x[69]+5*x[73]+5*x[75]+3*x[80]+x[81]+8*x[82]+4*x[85]+2*x[88]+6*x[89]+x[91]+4*x[97]+3*x[98]+x[103])*q^25 + (x[43]+x[46]+2*x[49]+x[53]+2*x[54]+2*x[55]+2*x[56]+4*x[60]+2*x[61]+3*x[62]+3*x[63]+2*x[64]+3*x[65]+x[66]+x[70]+7*x[71]+4*x[74]+2*x[76]+3*x[77]+3*x[78]+5*x[79]+10*x[83]+6*x[84]+3*x[86]+x[90]+4*x[92]+4*x[93]+5*x[94]+2*x[95]+2*x[100]+2*x[101]+2*x[102])*q^24 + (x[45]+x[47]+x[48]+x[52]+3*x[57]+4*x[58]+x[59]+2*x[67]+7*x[68]+3*x[69]+7*x[73]+6*x[75]+5*x[80]+x[81]+9*x[82]+5*x[85]+4*x[88]+9*x[89]+x[91]+x[96]+7*x[97]+4*x[98]+x[99]+2*x[103]+x[107])*q^23 + (x[43]+x[49]+2*x[53]+4*x[60]+2*x[61]+4*x[62]+2*x[63]+2*x[64]+2*x[70]+8*x[71]+6*x[74]+2*x[76]+2*x[77]+2*x[78]+6*x[79]+10*x[83]+9*x[84]+5*x[86]+3*x[90]+7*x[92]+4*x[93]+6*x[94]+2*x[95]+4*x[100]+3*x[101]+2*x[102]+x[106])*q^22 + (x[45]+x[47]+x[48]+2*x[57]+2*x[58]+4*x[67]+7*x[68]+4*x[69]+4*x[73]+6*x[75]+4*x[80]+2*x[81]+12*x[82]+6*x[85]+2*x[88]+11*x[89]+3*x[91]+x[96]+7*x[97]+8*x[98]+4*x[103]+x[107]+x[108])*q^21 + (x[49]+x[53]+x[54]+x[55]+x[56]+3*x[60]+2*x[61]+3*x[62]+2*x[63]+x[64]+x[65]+x[70]+6*x[71]+x[72]+6*x[74]+x[76]+4*x[77]+2*x[78]+7*x[79]+10*x[83]+8*x[84]+6*x[86]+2*x[90]+9*x[92]+5*x[93]+9*x[94]+2*x[95]+5*x[100]+4*x[101]+2*x[102]+x[105]+3*x[106])*q^20 + (x[52]+2*x[57]+3*x[58]+x[59]+2*x[67]+5*x[68]+2*x[69]+6*x[73]+5*x[75]+5*x[80]+2*x[81]+9*x[82]+6*x[85]+4*x[88]+12*x[89]+2*x[91]+2*x[96]+10*x[97]+7*x[98]+x[99]+6*x[103]+2*x[107]+x[108])*q^19 + (x[53]+x[55]+x[56]+2*x[60]+x[62]+2*x[63]+x[64]+x[65]+2*x[70]+6*x[71]+3*x[74]+2*x[76]+2*x[77]+3*x[78]+5*x[79]+10*x[83]+9*x[84]+4*x[86]+4*x[90]+8*x[92]+6*x[93]+6*x[94]+4*x[95]+7*x[100]+7*x[101]+4*x[102]+x[105]+2*x[106]+x[109])*q^18 + (x[57]+x[58]+2*x[67]+3*x[68]+2*x[69]+4*x[73]+4*x[75]+4*x[80]+2*x[81]+8*x[82]+5*x[85]+3*x[88]+11*x[89]+2*x[91]+3*x[96]+10*x[97]+7*x[98]+x[99]+6*x[103]+4*x[107]+2*x[108])*q^17 + (x[60]+x[61]+x[62]+x[70]+3*x[71]+x[72]+4*x[74]+3*x[77]+x[78]+5*x[79]+6*x[83]+6*x[84]+5*x[86]+2*x[90]+9*x[92]+5*x[93]+8*x[94]+x[95]+7*x[100]+5*x[101]+3*x[102]+x[104]+2*x[105]+4*x[106]+x[109]+x[110])*q^16 + (2*x[67]+2*x[68]+x[69]+x[73]+2*x[75]+2*x[80]+2*x[81]+6*x[82]+4*x[85]+x[88]+9*x[89]+3*x[91]+2*x[96]+7*x[97]+8*x[98]+8*x[103]+2*x[107]+3*x[108])*q^15 + (x[70]+2*x[71]+x[74]+x[76]+x[77]+x[78]+2*x[79]+4*x[83]+5*x[84]+3*x[86]+3*x[90]+7*x[92]+3*x[93]+5*x[94]+2*x[95]+7*x[100]+6*x[101]+2*x[102]+2*x[105]+4*x[106]+x[110])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+2*x[82]+2*x[85]+2*x[88]+6*x[89]+x[91]+3*x[96]+7*x[97]+4*x[98]+x[99]+6*x[103]+4*x[107]+3*x[108])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[87]+2*x[90]+4*x[92]+4*x[93]+3*x[94]+x[95]+5*x[100]+4*x[101]+4*x[102]+x[104]+2*x[105]+3*x[106]+2*x[109]+2*x[110])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+4*x[97]+3*x[98]+5*x[103]+3*x[107]+3*x[108]+x[111])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+4*x[100]+3*x[101]+2*x[105]+3*x[106]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+3*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #16 : 2*A2+2*A1 dim = 168 A(O) = 1 , |A(O)_0| = 1 g_s = 4*V[5]+10*V[4]+16*V[3]+20*V[2]+20*V[1]+10*V[0] Z_G(x)_0 = B2 # Green Polys by orbit reps #16.1 : x[21] : 2*A2+2*A1,[1] : phi[175,36] Qxi[E8,16,1] = (x[21])*q^36 + (x[30])*q^35 + (x[22]+x[32]+x[44])*q^34 + (x[26]+x[30]+x[40]+x[41]+x[45]+x[51])*q^33 + (x[23]+x[27]+x[31]+x[32]+x[34]+2*x[39]+x[43]+2*x[44]+x[50]+x[53]+x[54]+x[55]+x[61])*q^32 + (x[26]+x[30]+x[35]+x[37]+2*x[40]+3*x[41]+3*x[45]+x[47]+2*x[51]+x[52]+3*x[57]+x[58]+x[75])*q^31 + (x[28]+x[31]+x[32]+x[34]+x[36]+3*x[39]+2*x[42]+4*x[43]+4*x[44]+4*x[53]+x[54]+3*x[55]+2*x[60]+2*x[61]+2*x[62]+2*x[63]+2*x[70]+x[71]+x[76]+x[79])*q^30 + (x[30]+2*x[35]+x[37]+2*x[40]+4*x[41]+5*x[45]+3*x[47]+x[48]+3*x[51]+2*x[52]+8*x[57]+3*x[58]+3*x[67]+3*x[68]+4*x[75]+x[80]+x[81]+x[82])*q^29 + (x[31]+x[32]+x[34]+x[38]+3*x[39]+3*x[42]+4*x[43]+3*x[44]+x[46]+x[49]+2*x[50]+6*x[53]+4*x[54]+5*x[55]+x[56]+5*x[60]+7*x[61]+5*x[62]+4*x[63]+x[65]+4*x[70]+4*x[71]+x[72]+x[74]+x[76]+x[77]+5*x[79]+2*x[83]+2*x[86])*q^28 + (x[35]+x[37]+2*x[40]+3*x[41]+5*x[45]+4*x[47]+x[48]+5*x[51]+3*x[52]+10*x[57]+6*x[58]+7*x[67]+7*x[68]+x[69]+2*x[73]+9*x[75]+5*x[80]+2*x[81]+4*x[82]+x[88]+2*x[89]+x[91])*q^27 + (x[34]+x[36]+x[39]+2*x[42]+4*x[43]+3*x[44]+2*x[49]+x[50]+8*x[53]+4*x[54]+5*x[55]+x[56]+6*x[60]+6*x[61]+6*x[62]+6*x[63]+x[64]+x[65]+8*x[70]+10*x[71]+x[72]+x[74]+4*x[76]+2*x[77]+8*x[79]+7*x[83]+3*x[84]+5*x[86]+2*x[90]+x[92]+x[93])*q^26 + (x[37]+x[40]+2*x[41]+3*x[45]+3*x[47]+x[48]+4*x[51]+3*x[52]+10*x[57]+7*x[58]+8*x[67]+9*x[68]+2*x[69]+5*x[73]+13*x[75]+8*x[80]+5*x[81]+8*x[82]+x[85]+2*x[88]+7*x[89]+x[91]+2*x[97])*q^25 + (x[39]+2*x[42]+2*x[43]+x[44]+x[46]+2*x[49]+x[50]+5*x[53]+4*x[54]+5*x[55]+x[56]+7*x[60]+6*x[61]+6*x[62]+4*x[63]+x[64]+2*x[65]+7*x[70]+11*x[71]+2*x[72]+3*x[74]+3*x[76]+5*x[77]+x[78]+13*x[79]+10*x[83]+5*x[84]+8*x[86]+2*x[87]+3*x[90]+3*x[92]+4*x[93]+3*x[94]+x[101]+x[102])*q^24 + (x[41]+2*x[45]+2*x[47]+x[48]+2*x[51]+x[52]+8*x[57]+4*x[58]+8*x[67]+9*x[68]+3*x[69]+5*x[73]+13*x[75]+8*x[80]+7*x[81]+12*x[82]+2*x[85]+2*x[88]+12*x[89]+2*x[91]+x[96]+4*x[97]+2*x[98]+x[103])*q^23 + (x[42]+x[43]+x[44]+x[49]+4*x[53]+x[54]+2*x[55]+6*x[60]+4*x[61]+4*x[62]+3*x[63]+x[64]+7*x[70]+11*x[71]+2*x[72]+4*x[74]+3*x[76]+4*x[77]+x[78]+11*x[79]+11*x[83]+8*x[84]+10*x[86]+x[87]+6*x[90]+6*x[92]+4*x[93]+5*x[94]+x[100]+4*x[101]+x[102])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+6*x[67]+7*x[68]+2*x[69]+5*x[73]+10*x[75]+8*x[80]+6*x[81]+11*x[82]+3*x[85]+3*x[88]+14*x[89]+4*x[91]+3*x[96]+7*x[97]+4*x[98]+2*x[103])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+7*x[71]+2*x[72]+3*x[74]+2*x[76]+5*x[77]+2*x[78]+9*x[79]+11*x[83]+7*x[84]+8*x[86]+x[87]+5*x[90]+8*x[92]+8*x[93]+5*x[94]+x[95]+2*x[100]+5*x[101]+3*x[102]+x[104]+x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+5*x[73]+7*x[75]+6*x[80]+5*x[81]+8*x[82]+3*x[85]+3*x[88]+13*x[89]+3*x[91]+4*x[96]+9*x[97]+4*x[98]+4*x[103]+x[107])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+2*x[78]+6*x[79]+7*x[83]+7*x[84]+6*x[86]+x[87]+5*x[90]+8*x[92]+5*x[93]+5*x[94]+x[95]+4*x[100]+7*x[101]+2*x[102]+x[105]+x[106])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+2*x[85]+x[88]+10*x[89]+3*x[91]+3*x[96]+7*x[97]+5*x[98]+6*x[103]+x[107]+x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+7*x[92]+4*x[93]+5*x[94]+4*x[100]+5*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+4*x[98]+5*x[103]+x[107]+2*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+4*x[100]+5*x[101]+2*x[102]+x[104]+x[105]+2*x[106]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+2*x[107]+2*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #16.1 : c = () |O_x_c^F| = q^46*(q^4+1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,16,1] = (x[21])*q^36 + (x[30])*q^35 + (x[22]+x[32]+x[44])*q^34 + (x[26]+x[30]+x[40]+x[41]+x[45]+x[51])*q^33 + (x[23]+x[27]+x[31]+x[32]+x[34]+2*x[39]+x[43]+2*x[44]+x[50]+x[53]+x[54]+x[55]+x[61])*q^32 + (x[26]+x[30]+x[35]+x[37]+2*x[40]+3*x[41]+3*x[45]+x[47]+2*x[51]+x[52]+3*x[57]+x[58]+x[75])*q^31 + (x[28]+x[31]+x[32]+x[34]+x[36]+3*x[39]+2*x[42]+4*x[43]+4*x[44]+4*x[53]+x[54]+3*x[55]+2*x[60]+2*x[61]+2*x[62]+2*x[63]+2*x[70]+x[71]+x[76]+x[79])*q^30 + (x[30]+2*x[35]+x[37]+2*x[40]+4*x[41]+5*x[45]+3*x[47]+x[48]+3*x[51]+2*x[52]+8*x[57]+3*x[58]+3*x[67]+3*x[68]+4*x[75]+x[80]+x[81]+x[82])*q^29 + (x[31]+x[32]+x[34]+x[38]+3*x[39]+3*x[42]+4*x[43]+3*x[44]+x[46]+x[49]+2*x[50]+6*x[53]+4*x[54]+5*x[55]+x[56]+5*x[60]+7*x[61]+5*x[62]+4*x[63]+x[65]+4*x[70]+4*x[71]+x[72]+x[74]+x[76]+x[77]+5*x[79]+2*x[83]+2*x[86])*q^28 + (x[35]+x[37]+2*x[40]+3*x[41]+5*x[45]+4*x[47]+x[48]+5*x[51]+3*x[52]+10*x[57]+6*x[58]+7*x[67]+7*x[68]+x[69]+2*x[73]+9*x[75]+5*x[80]+2*x[81]+4*x[82]+x[88]+2*x[89]+x[91])*q^27 + (x[34]+x[36]+x[39]+2*x[42]+4*x[43]+3*x[44]+2*x[49]+x[50]+8*x[53]+4*x[54]+5*x[55]+x[56]+6*x[60]+6*x[61]+6*x[62]+6*x[63]+x[64]+x[65]+8*x[70]+10*x[71]+x[72]+x[74]+4*x[76]+2*x[77]+8*x[79]+7*x[83]+3*x[84]+5*x[86]+2*x[90]+x[92]+x[93])*q^26 + (x[37]+x[40]+2*x[41]+3*x[45]+3*x[47]+x[48]+4*x[51]+3*x[52]+10*x[57]+7*x[58]+8*x[67]+9*x[68]+2*x[69]+5*x[73]+13*x[75]+8*x[80]+5*x[81]+8*x[82]+x[85]+2*x[88]+7*x[89]+x[91]+2*x[97])*q^25 + (x[39]+2*x[42]+2*x[43]+x[44]+x[46]+2*x[49]+x[50]+5*x[53]+4*x[54]+5*x[55]+x[56]+7*x[60]+6*x[61]+6*x[62]+4*x[63]+x[64]+2*x[65]+7*x[70]+11*x[71]+2*x[72]+3*x[74]+3*x[76]+5*x[77]+x[78]+13*x[79]+10*x[83]+5*x[84]+8*x[86]+2*x[87]+3*x[90]+3*x[92]+4*x[93]+3*x[94]+x[101]+x[102])*q^24 + (x[41]+2*x[45]+2*x[47]+x[48]+2*x[51]+x[52]+8*x[57]+4*x[58]+8*x[67]+9*x[68]+3*x[69]+5*x[73]+13*x[75]+8*x[80]+7*x[81]+12*x[82]+2*x[85]+2*x[88]+12*x[89]+2*x[91]+x[96]+4*x[97]+2*x[98]+x[103])*q^23 + (x[42]+x[43]+x[44]+x[49]+4*x[53]+x[54]+2*x[55]+6*x[60]+4*x[61]+4*x[62]+3*x[63]+x[64]+7*x[70]+11*x[71]+2*x[72]+4*x[74]+3*x[76]+4*x[77]+x[78]+11*x[79]+11*x[83]+8*x[84]+10*x[86]+x[87]+6*x[90]+6*x[92]+4*x[93]+5*x[94]+x[100]+4*x[101]+x[102])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+6*x[67]+7*x[68]+2*x[69]+5*x[73]+10*x[75]+8*x[80]+6*x[81]+11*x[82]+3*x[85]+3*x[88]+14*x[89]+4*x[91]+3*x[96]+7*x[97]+4*x[98]+2*x[103])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+7*x[71]+2*x[72]+3*x[74]+2*x[76]+5*x[77]+2*x[78]+9*x[79]+11*x[83]+7*x[84]+8*x[86]+x[87]+5*x[90]+8*x[92]+8*x[93]+5*x[94]+x[95]+2*x[100]+5*x[101]+3*x[102]+x[104]+x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+5*x[73]+7*x[75]+6*x[80]+5*x[81]+8*x[82]+3*x[85]+3*x[88]+13*x[89]+3*x[91]+4*x[96]+9*x[97]+4*x[98]+4*x[103]+x[107])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+2*x[78]+6*x[79]+7*x[83]+7*x[84]+6*x[86]+x[87]+5*x[90]+8*x[92]+5*x[93]+5*x[94]+x[95]+4*x[100]+7*x[101]+2*x[102]+x[105]+x[106])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+2*x[85]+x[88]+10*x[89]+3*x[91]+3*x[96]+7*x[97]+5*x[98]+6*x[103]+x[107]+x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+7*x[92]+4*x[93]+5*x[94]+4*x[100]+5*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+4*x[98]+5*x[103]+x[107]+2*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+4*x[100]+5*x[101]+2*x[102]+x[104]+x[105]+2*x[106]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+2*x[107]+2*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #17 : A3+2*A1 dim = 172 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+6*V[5]+11*V[4]+16*V[3]+15*V[2]+14*V[1]+13*V[0] Z_G(x)_0 = A1+B2 # Green Polys by orbit reps #17.1 : x[22] : A3+2*A1,[1] : phi[1050,34] Qxi[E8,17,1] = (x[22])*q^34 + (x[26]+x[30]+x[40])*q^33 + (x[23]+x[24]+x[27]+x[31]+x[32]+x[34]+2*x[39]+x[43]+x[44]+x[54])*q^32 + (2*x[26]+x[29]+x[30]+2*x[35]+x[37]+2*x[40]+3*x[41]+3*x[45]+x[47]+x[48]+x[51]+2*x[57]+x[58])*q^31 + (2*x[28]+x[31]+2*x[32]+3*x[34]+x[36]+x[38]+4*x[39]+2*x[42]+6*x[43]+4*x[44]+4*x[53]+x[54]+2*x[55]+2*x[60]+2*x[61]+3*x[62]+2*x[63]+x[64]+x[70]+x[71])*q^30 + (x[30]+x[33]+4*x[35]+3*x[37]+4*x[40]+6*x[41]+7*x[45]+6*x[47]+2*x[48]+3*x[51]+2*x[52]+9*x[57]+6*x[58]+3*x[67]+4*x[68]+x[69]+3*x[75]+x[80]+x[82])*q^29 + (x[31]+x[32]+3*x[34]+x[36]+2*x[38]+5*x[39]+5*x[42]+8*x[43]+4*x[44]+x[46]+3*x[49]+2*x[50]+8*x[53]+6*x[54]+7*x[55]+3*x[56]+6*x[60]+10*x[61]+9*x[62]+8*x[63]+x[64]+3*x[65]+4*x[70]+6*x[71]+x[72]+2*x[74]+x[76]+x[77]+5*x[79]+3*x[83]+x[86])*q^28 + (2*x[35]+2*x[37]+3*x[40]+5*x[41]+7*x[45]+9*x[47]+3*x[48]+6*x[51]+5*x[52]+17*x[57]+12*x[58]+x[59]+10*x[67]+13*x[68]+3*x[69]+4*x[73]+11*x[75]+7*x[80]+2*x[81]+6*x[82]+x[85]+2*x[88]+2*x[89])*q^27 + (x[34]+x[36]+x[38]+2*x[39]+5*x[42]+7*x[43]+4*x[44]+4*x[49]+x[50]+12*x[53]+6*x[54]+8*x[55]+2*x[56]+10*x[60]+10*x[61]+13*x[62]+11*x[63]+3*x[64]+2*x[65]+11*x[70]+19*x[71]+x[72]+4*x[74]+5*x[76]+2*x[77]+13*x[79]+11*x[83]+5*x[84]+6*x[86]+2*x[90]+x[92]+x[93]+x[94]+x[95])*q^26 + (x[37]+x[40]+3*x[41]+5*x[45]+6*x[47]+3*x[48]+5*x[51]+3*x[52]+17*x[57]+12*x[58]+15*x[67]+17*x[68]+7*x[69]+10*x[73]+20*x[75]+13*x[80]+6*x[81]+16*x[82]+3*x[85]+3*x[88]+11*x[89]+x[91]+2*x[97]+x[98])*q^25 + (x[39]+3*x[42]+3*x[43]+x[44]+x[46]+4*x[49]+x[50]+8*x[53]+6*x[54]+7*x[55]+2*x[56]+11*x[60]+10*x[61]+11*x[62]+7*x[63]+3*x[64]+3*x[65]+11*x[70]+21*x[71]+4*x[72]+8*x[74]+3*x[76]+7*x[77]+2*x[78]+21*x[79]+19*x[83]+10*x[84]+13*x[86]+2*x[87]+4*x[90]+5*x[92]+7*x[93]+7*x[94]+x[101]+x[102])*q^24 + (x[41]+2*x[45]+3*x[47]+x[48]+3*x[51]+2*x[52]+11*x[57]+8*x[58]+x[59]+13*x[67]+16*x[68]+6*x[69]+11*x[73]+20*x[75]+15*x[80]+10*x[81]+21*x[82]+6*x[85]+4*x[88]+21*x[89]+3*x[91]+x[96]+8*x[97]+5*x[98]+x[103])*q^23 + (x[42]+x[43]+x[44]+2*x[49]+5*x[53]+2*x[54]+3*x[55]+x[56]+8*x[60]+5*x[61]+5*x[62]+5*x[63]+2*x[64]+x[65]+10*x[70]+19*x[71]+3*x[72]+7*x[74]+5*x[76]+6*x[77]+3*x[78]+17*x[79]+21*x[83]+15*x[84]+15*x[86]+x[87]+10*x[90]+10*x[92]+9*x[93]+10*x[94]+2*x[95]+3*x[100]+6*x[101]+2*x[102])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+5*x[57]+4*x[58]+8*x[67]+10*x[68]+4*x[69]+10*x[73]+14*x[75]+13*x[80]+9*x[81]+18*x[82]+7*x[85]+6*x[88]+24*x[89]+5*x[91]+5*x[96]+13*x[97]+8*x[98]+4*x[103]+x[107])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+4*x[60]+2*x[61]+3*x[62]+2*x[63]+x[65]+5*x[70]+10*x[71]+3*x[72]+6*x[74]+2*x[76]+7*x[77]+4*x[78]+13*x[79]+16*x[83]+12*x[84]+12*x[86]+2*x[87]+8*x[90]+14*x[92]+13*x[93]+11*x[94]+2*x[95]+5*x[100]+8*x[101]+5*x[102]+x[104]+2*x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+4*x[67]+5*x[68]+2*x[69]+6*x[73]+8*x[75]+7*x[80]+7*x[81]+13*x[82]+6*x[85]+3*x[88]+20*x[89]+5*x[91]+6*x[96]+14*x[97]+9*x[98]+8*x[103]+2*x[107])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+6*x[71]+x[72]+3*x[74]+2*x[76]+4*x[77]+3*x[78]+7*x[79]+9*x[83]+10*x[84]+8*x[86]+x[87]+7*x[90]+13*x[92]+7*x[93]+9*x[94]+2*x[95]+8*x[100]+11*x[101]+2*x[102]+x[105]+3*x[106])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+3*x[73]+4*x[75]+4*x[80]+4*x[81]+8*x[82]+3*x[85]+2*x[88]+13*x[89]+4*x[91]+5*x[96]+11*x[97]+8*x[98]+x[99]+10*x[103]+2*x[107]+2*x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+2*x[78]+4*x[79]+5*x[83]+5*x[84]+5*x[86]+x[87]+4*x[90]+9*x[92]+6*x[93]+6*x[94]+x[95]+7*x[100]+7*x[101]+4*x[102]+2*x[104]+3*x[105]+5*x[106]+x[109])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+3*x[85]+x[88]+8*x[89]+3*x[91]+4*x[96]+8*x[97]+5*x[98]+7*x[103]+3*x[107]+4*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+6*x[92]+3*x[93]+3*x[94]+x[95]+6*x[100]+6*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+2*x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+3*x[98]+6*x[103]+2*x[107]+3*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+4*x[100]+3*x[101]+2*x[102]+x[104]+3*x[105]+3*x[106]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+2*x[107]+3*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]+x[111])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #17.1 : c = () |O_x_c^F| = q^52*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^6+1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,17,1] = (x[22])*q^34 + (x[26]+x[30]+x[40])*q^33 + (x[23]+x[24]+x[27]+x[31]+x[32]+x[34]+2*x[39]+x[43]+x[44]+x[54])*q^32 + (2*x[26]+x[29]+x[30]+2*x[35]+x[37]+2*x[40]+3*x[41]+3*x[45]+x[47]+x[48]+x[51]+2*x[57]+x[58])*q^31 + (2*x[28]+x[31]+2*x[32]+3*x[34]+x[36]+x[38]+4*x[39]+2*x[42]+6*x[43]+4*x[44]+4*x[53]+x[54]+2*x[55]+2*x[60]+2*x[61]+3*x[62]+2*x[63]+x[64]+x[70]+x[71])*q^30 + (x[30]+x[33]+4*x[35]+3*x[37]+4*x[40]+6*x[41]+7*x[45]+6*x[47]+2*x[48]+3*x[51]+2*x[52]+9*x[57]+6*x[58]+3*x[67]+4*x[68]+x[69]+3*x[75]+x[80]+x[82])*q^29 + (x[31]+x[32]+3*x[34]+x[36]+2*x[38]+5*x[39]+5*x[42]+8*x[43]+4*x[44]+x[46]+3*x[49]+2*x[50]+8*x[53]+6*x[54]+7*x[55]+3*x[56]+6*x[60]+10*x[61]+9*x[62]+8*x[63]+x[64]+3*x[65]+4*x[70]+6*x[71]+x[72]+2*x[74]+x[76]+x[77]+5*x[79]+3*x[83]+x[86])*q^28 + (2*x[35]+2*x[37]+3*x[40]+5*x[41]+7*x[45]+9*x[47]+3*x[48]+6*x[51]+5*x[52]+17*x[57]+12*x[58]+x[59]+10*x[67]+13*x[68]+3*x[69]+4*x[73]+11*x[75]+7*x[80]+2*x[81]+6*x[82]+x[85]+2*x[88]+2*x[89])*q^27 + (x[34]+x[36]+x[38]+2*x[39]+5*x[42]+7*x[43]+4*x[44]+4*x[49]+x[50]+12*x[53]+6*x[54]+8*x[55]+2*x[56]+10*x[60]+10*x[61]+13*x[62]+11*x[63]+3*x[64]+2*x[65]+11*x[70]+19*x[71]+x[72]+4*x[74]+5*x[76]+2*x[77]+13*x[79]+11*x[83]+5*x[84]+6*x[86]+2*x[90]+x[92]+x[93]+x[94]+x[95])*q^26 + (x[37]+x[40]+3*x[41]+5*x[45]+6*x[47]+3*x[48]+5*x[51]+3*x[52]+17*x[57]+12*x[58]+15*x[67]+17*x[68]+7*x[69]+10*x[73]+20*x[75]+13*x[80]+6*x[81]+16*x[82]+3*x[85]+3*x[88]+11*x[89]+x[91]+2*x[97]+x[98])*q^25 + (x[39]+3*x[42]+3*x[43]+x[44]+x[46]+4*x[49]+x[50]+8*x[53]+6*x[54]+7*x[55]+2*x[56]+11*x[60]+10*x[61]+11*x[62]+7*x[63]+3*x[64]+3*x[65]+11*x[70]+21*x[71]+4*x[72]+8*x[74]+3*x[76]+7*x[77]+2*x[78]+21*x[79]+19*x[83]+10*x[84]+13*x[86]+2*x[87]+4*x[90]+5*x[92]+7*x[93]+7*x[94]+x[101]+x[102])*q^24 + (x[41]+2*x[45]+3*x[47]+x[48]+3*x[51]+2*x[52]+11*x[57]+8*x[58]+x[59]+13*x[67]+16*x[68]+6*x[69]+11*x[73]+20*x[75]+15*x[80]+10*x[81]+21*x[82]+6*x[85]+4*x[88]+21*x[89]+3*x[91]+x[96]+8*x[97]+5*x[98]+x[103])*q^23 + (x[42]+x[43]+x[44]+2*x[49]+5*x[53]+2*x[54]+3*x[55]+x[56]+8*x[60]+5*x[61]+5*x[62]+5*x[63]+2*x[64]+x[65]+10*x[70]+19*x[71]+3*x[72]+7*x[74]+5*x[76]+6*x[77]+3*x[78]+17*x[79]+21*x[83]+15*x[84]+15*x[86]+x[87]+10*x[90]+10*x[92]+9*x[93]+10*x[94]+2*x[95]+3*x[100]+6*x[101]+2*x[102])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+5*x[57]+4*x[58]+8*x[67]+10*x[68]+4*x[69]+10*x[73]+14*x[75]+13*x[80]+9*x[81]+18*x[82]+7*x[85]+6*x[88]+24*x[89]+5*x[91]+5*x[96]+13*x[97]+8*x[98]+4*x[103]+x[107])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+4*x[60]+2*x[61]+3*x[62]+2*x[63]+x[65]+5*x[70]+10*x[71]+3*x[72]+6*x[74]+2*x[76]+7*x[77]+4*x[78]+13*x[79]+16*x[83]+12*x[84]+12*x[86]+2*x[87]+8*x[90]+14*x[92]+13*x[93]+11*x[94]+2*x[95]+5*x[100]+8*x[101]+5*x[102]+x[104]+2*x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+4*x[67]+5*x[68]+2*x[69]+6*x[73]+8*x[75]+7*x[80]+7*x[81]+13*x[82]+6*x[85]+3*x[88]+20*x[89]+5*x[91]+6*x[96]+14*x[97]+9*x[98]+8*x[103]+2*x[107])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+6*x[71]+x[72]+3*x[74]+2*x[76]+4*x[77]+3*x[78]+7*x[79]+9*x[83]+10*x[84]+8*x[86]+x[87]+7*x[90]+13*x[92]+7*x[93]+9*x[94]+2*x[95]+8*x[100]+11*x[101]+2*x[102]+x[105]+3*x[106])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+3*x[73]+4*x[75]+4*x[80]+4*x[81]+8*x[82]+3*x[85]+2*x[88]+13*x[89]+4*x[91]+5*x[96]+11*x[97]+8*x[98]+x[99]+10*x[103]+2*x[107]+2*x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+2*x[78]+4*x[79]+5*x[83]+5*x[84]+5*x[86]+x[87]+4*x[90]+9*x[92]+6*x[93]+6*x[94]+x[95]+7*x[100]+7*x[101]+4*x[102]+2*x[104]+3*x[105]+5*x[106]+x[109])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+3*x[85]+x[88]+8*x[89]+3*x[91]+4*x[96]+8*x[97]+5*x[98]+7*x[103]+3*x[107]+4*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+6*x[92]+3*x[93]+3*x[94]+x[95]+6*x[100]+6*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+2*x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+3*x[98]+6*x[103]+2*x[107]+3*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+4*x[100]+3*x[101]+2*x[102]+x[104]+3*x[105]+3*x[106]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+2*x[107]+3*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]+x[111])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #18 : D4(a1)+A1 dim = 176 A(O) = S3 , |A(O)_0| = 3 g_s = 2*V[6]+6*V[5]+13*V[4]+12*V[3]+16*V[2]+14*V[1]+9*V[0] Z_G(x)_0 = 3*A1 # Green Polys by orbit reps #18.1 : x[23] : D4(a1)+A1,[3] : phi[1400,32] Qxi[E8,18,1] = (x[23])*q^32 + (x[26]+x[37]+x[40])*q^31 + (x[28]+x[32]+x[34]+x[39]+2*x[43]+x[44]+x[63])*q^30 + (x[30]+2*x[35]+x[37]+x[40]+2*x[41]+3*x[45]+2*x[47]+x[48]+2*x[57]+x[58]+x[68])*q^29 + (x[31]+x[32]+x[34]+x[38]+3*x[39]+2*x[42]+3*x[43]+2*x[44]+x[49]+2*x[53]+x[54]+2*x[55]+2*x[60]+4*x[61]+4*x[62]+2*x[63]+x[65]+x[71]+x[74]+x[79])*q^28 + (x[35]+x[37]+2*x[40]+3*x[41]+4*x[45]+4*x[47]+x[48]+2*x[51]+x[52]+7*x[57]+4*x[58]+3*x[67]+5*x[68]+x[69]+x[73]+3*x[75]+x[80]+2*x[82])*q^27 + (x[34]+x[36]+x[39]+2*x[42]+4*x[43]+3*x[44]+2*x[49]+x[50]+6*x[53]+3*x[54]+4*x[55]+x[56]+4*x[60]+5*x[61]+5*x[62]+6*x[63]+x[64]+x[65]+4*x[70]+7*x[71]+x[74]+2*x[76]+4*x[79]+4*x[83]+2*x[84]+x[86])*q^26 + (x[37]+x[40]+2*x[41]+3*x[45]+3*x[47]+x[48]+4*x[51]+3*x[52]+9*x[57]+7*x[58]+6*x[67]+8*x[68]+2*x[69]+5*x[73]+9*x[75]+6*x[80]+x[81]+5*x[82]+x[85]+2*x[88]+3*x[89]+x[97])*q^25 + (x[39]+2*x[42]+2*x[43]+x[44]+x[46]+2*x[49]+x[50]+5*x[53]+4*x[54]+5*x[55]+x[56]+6*x[60]+6*x[61]+6*x[62]+4*x[63]+x[64]+2*x[65]+6*x[70]+10*x[71]+x[72]+3*x[74]+2*x[76]+3*x[77]+x[78]+10*x[79]+9*x[83]+4*x[84]+5*x[86]+x[90]+x[92]+3*x[93]+2*x[94]+x[102])*q^24 + (x[41]+2*x[45]+2*x[47]+x[48]+2*x[51]+x[52]+8*x[57]+4*x[58]+8*x[67]+9*x[68]+3*x[69]+5*x[73]+12*x[75]+7*x[80]+5*x[81]+11*x[82]+2*x[85]+x[88]+9*x[89]+x[91]+3*x[97]+2*x[98])*q^23 + (x[42]+x[43]+x[44]+x[49]+4*x[53]+x[54]+2*x[55]+6*x[60]+4*x[61]+4*x[62]+3*x[63]+x[64]+7*x[70]+11*x[71]+2*x[72]+4*x[74]+3*x[76]+3*x[77]+x[78]+11*x[79]+10*x[83]+8*x[84]+9*x[86]+x[87]+4*x[90]+5*x[92]+3*x[93]+5*x[94]+x[100]+2*x[101])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+6*x[67]+7*x[68]+2*x[69]+5*x[73]+10*x[75]+8*x[80]+6*x[81]+11*x[82]+3*x[85]+3*x[88]+13*x[89]+3*x[91]+x[96]+6*x[97]+4*x[98]+2*x[103])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+7*x[71]+2*x[72]+3*x[74]+2*x[76]+5*x[77]+2*x[78]+9*x[79]+11*x[83]+7*x[84]+8*x[86]+x[87]+5*x[90]+7*x[92]+8*x[93]+5*x[94]+x[95]+2*x[100]+4*x[101]+3*x[102]+x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+5*x[73]+7*x[75]+6*x[80]+5*x[81]+8*x[82]+3*x[85]+3*x[88]+13*x[89]+3*x[91]+4*x[96]+9*x[97]+4*x[98]+3*x[103]+x[107])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+2*x[78]+6*x[79]+7*x[83]+7*x[84]+6*x[86]+x[87]+5*x[90]+8*x[92]+5*x[93]+5*x[94]+x[95]+4*x[100]+7*x[101]+2*x[102]+x[106])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+2*x[85]+x[88]+10*x[89]+3*x[91]+3*x[96]+7*x[97]+5*x[98]+6*x[103]+x[107]+x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+7*x[92]+4*x[93]+5*x[94]+4*x[100]+5*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+4*x[98]+5*x[103]+x[107]+2*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+4*x[100]+5*x[101]+2*x[102]+x[104]+x[105]+2*x[106]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+2*x[107]+2*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #18.2 : x[24] : D4(a1)+A1,[2, 1] : phi[1575,34] Qxi[E8,18,2] = (x[24])*q^32 + (x[26]+x[29]+x[35]+x[48])*q^31 + (x[28]+x[32]+2*x[34]+x[38]+x[39]+2*x[43]+x[62]+x[64])*q^30 + (x[33]+2*x[35]+2*x[37]+2*x[40]+2*x[41]+2*x[45]+3*x[47]+x[48]+x[57]+3*x[58]+x[68]+x[69])*q^29 + (2*x[34]+x[36]+x[38]+2*x[39]+2*x[42]+4*x[43]+x[44]+2*x[49]+2*x[53]+2*x[54]+2*x[55]+2*x[56]+x[60]+3*x[61]+4*x[62]+4*x[63]+x[64]+2*x[65]+2*x[71]+x[74]+x[83])*q^28 + (x[35]+x[37]+x[40]+2*x[41]+2*x[45]+5*x[47]+2*x[48]+x[51]+2*x[52]+7*x[57]+6*x[58]+x[59]+3*x[67]+6*x[68]+2*x[69]+2*x[73]+2*x[75]+2*x[80]+2*x[82]+x[85]+x[88])*q^27 + (x[38]+x[39]+3*x[42]+3*x[43]+x[44]+2*x[49]+4*x[53]+2*x[54]+3*x[55]+x[56]+4*x[60]+4*x[61]+7*x[62]+5*x[63]+2*x[64]+x[65]+3*x[70]+9*x[71]+3*x[74]+x[76]+5*x[79]+4*x[83]+2*x[84]+x[86]+x[94]+x[95])*q^26 + (x[41]+2*x[45]+3*x[47]+2*x[48]+x[51]+7*x[57]+5*x[58]+7*x[67]+8*x[68]+5*x[69]+5*x[73]+7*x[75]+5*x[80]+x[81]+8*x[82]+2*x[85]+x[88]+4*x[89]+x[98])*q^25 + (x[42]+x[43]+2*x[49]+3*x[53]+2*x[54]+2*x[55]+x[56]+4*x[60]+4*x[61]+5*x[62]+3*x[63]+2*x[64]+x[65]+4*x[70]+10*x[71]+2*x[72]+5*x[74]+2*x[77]+x[78]+8*x[79]+9*x[83]+5*x[84]+5*x[86]+x[90]+2*x[92]+3*x[93]+4*x[94])*q^24 + (x[47]+x[51]+x[52]+3*x[57]+4*x[58]+x[59]+5*x[67]+7*x[68]+3*x[69]+6*x[73]+7*x[75]+7*x[80]+3*x[81]+9*x[82]+4*x[85]+2*x[88]+9*x[89]+x[91]+4*x[97]+3*x[98])*q^23 + (x[49]+x[53]+x[54]+x[55]+x[56]+2*x[60]+x[61]+x[62]+2*x[63]+x[64]+x[65]+3*x[70]+8*x[71]+x[72]+3*x[74]+2*x[76]+2*x[77]+2*x[78]+6*x[79]+10*x[83]+7*x[84]+5*x[86]+4*x[90]+4*x[92]+5*x[93]+5*x[94]+2*x[95]+2*x[100]+2*x[101]+x[102])*q^22 + (x[57]+x[58]+2*x[67]+3*x[68]+2*x[69]+5*x[73]+4*x[75]+5*x[80]+3*x[81]+7*x[82]+4*x[85]+3*x[88]+10*x[89]+x[91]+2*x[96]+6*x[97]+4*x[98]+2*x[103]+x[107])*q^21 + (x[60]+x[62]+x[70]+3*x[71]+x[72]+3*x[74]+2*x[77]+2*x[78]+4*x[79]+5*x[83]+5*x[84]+4*x[86]+x[87]+3*x[90]+6*x[92]+5*x[93]+6*x[94]+x[95]+3*x[100]+3*x[101]+2*x[102]+x[106])*q^20 + (x[67]+x[68]+x[69]+x[73]+x[75]+x[80]+2*x[81]+5*x[82]+3*x[85]+7*x[89]+2*x[91]+2*x[96]+5*x[97]+5*x[98]+4*x[103]+x[107])*q^19 + (x[71]+x[74]+x[77]+x[78]+x[79]+2*x[83]+3*x[84]+2*x[86]+2*x[90]+5*x[92]+2*x[93]+4*x[94]+x[95]+4*x[100]+4*x[101]+2*x[106])*q^18 + (x[73]+x[80]+x[82]+x[85]+x[88]+3*x[89]+x[91]+2*x[96]+4*x[97]+3*x[98]+x[99]+4*x[103]+x[107]+x[108])*q^17 + (x[78]+x[83]+x[84]+x[90]+2*x[92]+2*x[93]+x[94]+x[95]+3*x[100]+2*x[101]+2*x[102]+x[104]+x[105]+2*x[106]+x[109])*q^16 + (x[85]+x[89]+x[96]+2*x[97]+x[98]+2*x[103]+2*x[107]+2*x[108])*q^15 + (x[92]+x[94]+2*x[100]+x[101]+x[105]+x[106]+x[110])*q^14 + (x[98]+2*x[103]+x[108])*q^13 + (x[100]+x[105]+x[106])*q^12 + (x[107]+x[108])*q^11 + (x[109]+x[110])*q^10 + (x[111])*q^9 #18.3 : x[25] : D4(a1)+A1,[1, 1, 1] : phi[350,38] Qxi[E8,18,3] = (x[25])*q^32 + (x[29]+x[33]+x[59])*q^31 + (x[34]+x[38]+x[56]+x[64])*q^30 + (x[35]+x[47]+x[48]+x[58]+x[69])*q^29 + (x[38]+x[42]+x[43]+2*x[62]+x[64]+x[71]+x[74])*q^28 + (x[47]+x[48]+x[57]+x[58]+x[59]+x[67]+x[68]+2*x[69]+x[82]+x[85])*q^27 + (x[49]+x[54]+x[56]+x[62]+x[63]+x[64]+x[66]+2*x[71]+x[74]+x[79]+x[83]+x[94]+x[95])*q^26 + (x[58]+x[59]+x[68]+x[69]+2*x[73]+2*x[80]+x[82]+x[85]+x[88]+x[89]+x[99])*q^25 + (x[64]+x[71]+x[74]+x[78]+2*x[83]+x[84]+x[90]+x[93]+x[94]+x[95])*q^24 + (x[69]+x[82]+2*x[85]+x[89]+x[97]+x[98])*q^23 + (x[74]+x[92]+2*x[94]+x[100])*q^22 + (x[85]+x[98]+x[103])*q^21 + (x[95]+x[100])*q^20 + (x[99]+x[107])*q^19 + (x[109])*q^18 # Green Polys by conj class in A(O) #18.1 : c = () |O_x_c^F| = 1/6*q^54*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^4+1)*(q^6+1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,18,1] = (x[23]+2*x[24]+x[25])*q^32 + (3*x[26]+3*x[29]+x[33]+2*x[35]+x[37]+x[40]+2*x[48]+x[59])*q^31 + (3*x[28]+3*x[32]+6*x[34]+3*x[38]+3*x[39]+6*x[43]+x[44]+x[56]+2*x[62]+x[63]+3*x[64])*q^30 + (x[30]+2*x[33]+7*x[35]+5*x[37]+5*x[40]+6*x[41]+7*x[45]+9*x[47]+4*x[48]+4*x[57]+8*x[58]+3*x[68]+3*x[69])*q^29 + (x[31]+x[32]+5*x[34]+2*x[36]+4*x[38]+7*x[39]+7*x[42]+12*x[43]+4*x[44]+5*x[49]+6*x[53]+5*x[54]+6*x[55]+4*x[56]+4*x[60]+10*x[61]+14*x[62]+10*x[63]+3*x[64]+5*x[65]+6*x[71]+4*x[74]+x[79]+2*x[83])*q^28 + (3*x[35]+3*x[37]+4*x[40]+7*x[41]+8*x[45]+15*x[47]+6*x[48]+4*x[51]+5*x[52]+22*x[57]+17*x[58]+3*x[59]+10*x[67]+18*x[68]+7*x[69]+5*x[73]+7*x[75]+5*x[80]+7*x[82]+3*x[85]+2*x[88])*q^27 + (x[34]+x[36]+2*x[38]+3*x[39]+8*x[42]+10*x[43]+5*x[44]+7*x[49]+x[50]+14*x[53]+8*x[54]+10*x[55]+4*x[56]+12*x[60]+13*x[61]+20*x[62]+17*x[63]+6*x[64]+3*x[65]+x[66]+10*x[70]+27*x[71]+8*x[74]+4*x[76]+15*x[79]+13*x[83]+6*x[84]+3*x[86]+3*x[94]+3*x[95])*q^26 + (x[37]+x[40]+4*x[41]+7*x[45]+9*x[47]+5*x[48]+6*x[51]+3*x[52]+23*x[57]+18*x[58]+x[59]+20*x[67]+25*x[68]+13*x[69]+17*x[73]+23*x[75]+18*x[80]+3*x[81]+22*x[82]+6*x[85]+5*x[88]+12*x[89]+x[97]+2*x[98]+x[99])*q^25 + (x[39]+4*x[42]+4*x[43]+x[44]+x[46]+6*x[49]+x[50]+11*x[53]+8*x[54]+9*x[55]+3*x[56]+14*x[60]+14*x[61]+16*x[62]+10*x[63]+6*x[64]+4*x[65]+14*x[70]+31*x[71]+5*x[72]+14*x[74]+2*x[76]+7*x[77]+4*x[78]+26*x[79]+29*x[83]+15*x[84]+15*x[86]+4*x[90]+5*x[92]+10*x[93]+11*x[94]+x[95]+x[102])*q^24 + (x[41]+2*x[45]+4*x[47]+x[48]+4*x[51]+3*x[52]+14*x[57]+12*x[58]+2*x[59]+18*x[67]+23*x[68]+10*x[69]+17*x[73]+26*x[75]+21*x[80]+11*x[81]+30*x[82]+12*x[85]+5*x[88]+28*x[89]+3*x[91]+12*x[97]+9*x[98])*q^23 + (x[42]+x[43]+x[44]+3*x[49]+6*x[53]+3*x[54]+4*x[55]+2*x[56]+10*x[60]+6*x[61]+6*x[62]+7*x[63]+3*x[64]+2*x[65]+13*x[70]+27*x[71]+4*x[72]+11*x[74]+7*x[76]+7*x[77]+5*x[78]+23*x[79]+30*x[83]+22*x[84]+19*x[86]+x[87]+12*x[90]+14*x[92]+13*x[93]+17*x[94]+4*x[95]+6*x[100]+6*x[101]+2*x[102])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+6*x[57]+5*x[58]+10*x[67]+13*x[68]+6*x[69]+15*x[73]+18*x[75]+18*x[80]+12*x[81]+25*x[82]+12*x[85]+9*x[88]+33*x[89]+5*x[91]+5*x[96]+18*x[97]+13*x[98]+7*x[103]+2*x[107])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+5*x[60]+2*x[61]+4*x[62]+2*x[63]+x[65]+6*x[70]+13*x[71]+4*x[72]+9*x[74]+2*x[76]+9*x[77]+6*x[78]+17*x[79]+21*x[83]+17*x[84]+16*x[86]+3*x[87]+11*x[90]+19*x[92]+18*x[93]+17*x[94]+4*x[95]+9*x[100]+10*x[101]+7*x[102]+3*x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+5*x[67]+6*x[68]+3*x[69]+7*x[73]+9*x[75]+8*x[80]+9*x[81]+18*x[82]+9*x[85]+3*x[88]+27*x[89]+7*x[91]+8*x[96]+19*x[97]+14*x[98]+x[99]+11*x[103]+4*x[107])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+7*x[71]+x[72]+4*x[74]+2*x[76]+5*x[77]+4*x[78]+8*x[79]+11*x[83]+13*x[84]+10*x[86]+x[87]+9*x[90]+18*x[92]+9*x[93]+13*x[94]+3*x[95]+12*x[100]+15*x[101]+2*x[102]+5*x[106]+x[109])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+4*x[73]+4*x[75]+5*x[80]+4*x[81]+9*x[82]+4*x[85]+3*x[88]+16*x[89]+5*x[91]+7*x[96]+15*x[97]+11*x[98]+2*x[99]+14*x[103]+3*x[107]+3*x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+3*x[78]+4*x[79]+6*x[83]+6*x[84]+5*x[86]+x[87]+5*x[90]+11*x[92]+8*x[93]+7*x[94]+2*x[95]+10*x[100]+9*x[101]+6*x[102]+3*x[104]+4*x[105]+7*x[106]+2*x[109])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+4*x[85]+x[88]+9*x[89]+3*x[91]+5*x[96]+10*x[97]+6*x[98]+9*x[103]+5*x[107]+6*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+7*x[92]+3*x[93]+4*x[94]+x[95]+8*x[100]+7*x[101]+2*x[102]+x[104]+3*x[105]+4*x[106]+3*x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+4*x[98]+8*x[103]+2*x[107]+4*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+5*x[100]+3*x[101]+2*x[102]+x[104]+4*x[105]+4*x[106]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+3*x[107]+4*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+2*x[109]+3*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]+2*x[111])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #18.2 : c = (1) |O_x_c^F| = 1/2*q^54*(q^4+1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,18,2] = (x[23]-x[25])*q^32 + (x[26]-x[29]-x[33]+x[37]+x[40]-x[59])*q^31 + (x[28]+x[32]-x[38]+x[39]+2*x[43]+x[44]-x[56]+x[63]-x[64])*q^30 + (x[30]+x[35]+x[37]+x[40]+2*x[41]+3*x[45]+x[47]+2*x[57]+x[68]-x[69])*q^29 + (x[31]+x[32]+x[34]+3*x[39]+x[42]+2*x[43]+2*x[44]+x[49]+2*x[53]+x[54]+2*x[55]+2*x[60]+4*x[61]+2*x[62]+2*x[63]-x[64]+x[65]+x[79])*q^28 + (x[35]+x[37]+2*x[40]+3*x[41]+4*x[45]+3*x[47]+2*x[51]+x[52]+6*x[57]+3*x[58]-x[59]+2*x[67]+4*x[68]-x[69]+x[73]+3*x[75]+x[80]+x[82]-x[85])*q^27 + (x[34]+x[36]+x[39]+2*x[42]+4*x[43]+3*x[44]+x[49]+x[50]+6*x[53]+2*x[54]+4*x[55]+4*x[60]+5*x[61]+4*x[62]+5*x[63]+x[65]-x[66]+4*x[70]+5*x[71]+2*x[76]+3*x[79]+3*x[83]+2*x[84]+x[86]-x[94]-x[95])*q^26 + (x[37]+x[40]+2*x[41]+3*x[45]+3*x[47]+x[48]+4*x[51]+3*x[52]+9*x[57]+6*x[58]-x[59]+6*x[67]+7*x[68]+x[69]+3*x[73]+9*x[75]+4*x[80]+x[81]+4*x[82]+x[88]+2*x[89]+x[97]-x[99])*q^25 + (x[39]+2*x[42]+2*x[43]+x[44]+x[46]+2*x[49]+x[50]+5*x[53]+4*x[54]+5*x[55]+x[56]+6*x[60]+6*x[61]+6*x[62]+4*x[63]+2*x[65]+6*x[70]+9*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+10*x[79]+7*x[83]+3*x[84]+5*x[86]+x[92]+2*x[93]+x[94]-x[95]+x[102])*q^24 + (x[41]+2*x[45]+2*x[47]+x[48]+2*x[51]+x[52]+8*x[57]+4*x[58]+8*x[67]+9*x[68]+2*x[69]+5*x[73]+12*x[75]+7*x[80]+5*x[81]+10*x[82]+x[88]+8*x[89]+x[91]+2*x[97]+x[98])*q^23 + (x[42]+x[43]+x[44]+x[49]+4*x[53]+x[54]+2*x[55]+6*x[60]+4*x[61]+4*x[62]+3*x[63]+x[64]+7*x[70]+11*x[71]+2*x[72]+3*x[74]+3*x[76]+3*x[77]+x[78]+11*x[79]+10*x[83]+8*x[84]+9*x[86]+x[87]+4*x[90]+4*x[92]+3*x[93]+3*x[94]+2*x[101])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+6*x[67]+7*x[68]+2*x[69]+5*x[73]+10*x[75]+8*x[80]+6*x[81]+11*x[82]+2*x[85]+3*x[88]+13*x[89]+3*x[91]+x[96]+6*x[97]+3*x[98]+x[103])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+7*x[71]+2*x[72]+3*x[74]+2*x[76]+5*x[77]+2*x[78]+9*x[79]+11*x[83]+7*x[84]+8*x[86]+x[87]+5*x[90]+7*x[92]+8*x[93]+5*x[94]+x[100]+4*x[101]+3*x[102]+x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+5*x[73]+7*x[75]+6*x[80]+5*x[81]+8*x[82]+3*x[85]+3*x[88]+13*x[89]+3*x[91]+4*x[96]+9*x[97]+4*x[98]-x[99]+3*x[103])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+2*x[78]+6*x[79]+7*x[83]+7*x[84]+6*x[86]+x[87]+5*x[90]+8*x[92]+5*x[93]+5*x[94]+x[95]+4*x[100]+7*x[101]+2*x[102]+x[106]-x[109])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+2*x[85]+x[88]+10*x[89]+3*x[91]+3*x[96]+7*x[97]+5*x[98]+6*x[103]+x[107]+x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+7*x[92]+4*x[93]+5*x[94]+4*x[100]+5*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+4*x[98]+5*x[103]+x[107]+2*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+4*x[100]+5*x[101]+2*x[102]+x[104]+x[105]+2*x[106]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+2*x[107]+2*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #18.3 : c = (12) |O_x_c^F| = 1/3*q^54*(q^2-1)*(q^6+1)*(q^8-1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,18,3] = (x[23]-x[24]+x[25])*q^32 + (x[33]-x[35]+x[37]+x[40]-x[48]+x[59])*q^31 + (x[44]+x[56]-x[62]+x[63])*q^30 + (x[30]-x[33]+x[35]-x[37]-x[40]+x[45]+x[48]+x[57]-x[58])*q^29 + (x[31]+x[32]-x[34]-x[36]+x[38]+x[39]+x[42]+x[44]-x[49]-x[54]-2*x[56]+x[60]+x[61]+2*x[62]-2*x[63]-x[65]+x[74]+x[79]-x[83])*q^28 + (x[40]+x[41]+2*x[45]+x[51]-x[52]+x[57]-x[58]+x[67]+x[69]-x[73]+x[75]-x[80]+x[82]-x[88])*q^27 + (x[34]+x[36]-x[38]-x[42]+x[43]+2*x[44]+x[49]+x[50]+2*x[53]+2*x[54]+x[55]+x[56]+x[61]-x[62]+2*x[63]+x[66]+x[70]-x[74]+x[76]+x[83])*q^26 + (x[37]+x[40]+x[41]+x[45]-x[48]+3*x[51]+3*x[52]+2*x[57]+3*x[58]+x[59]-x[67]+x[68]-2*x[69]+2*x[73]+2*x[75]+3*x[80]-2*x[82]+2*x[88]+x[97]-x[98]+x[99])*q^25 + (x[39]+x[42]+x[43]+x[44]+x[46]+x[50]+2*x[53]+2*x[54]+3*x[55]+2*x[60]+2*x[61]+x[62]+x[63]+x[65]+2*x[70]+x[71]-x[72]-x[74]+2*x[76]+x[77]+x[78]+2*x[79]+2*x[83]+x[90]-x[92]+x[93]-x[94]+x[95]+x[102])*q^24 + (x[41]+2*x[45]+x[47]+x[48]+x[51]+5*x[57]-x[59]+3*x[67]+2*x[68]+x[69]-x[73]+5*x[75]+2*x[81]+3*x[82]-x[88]+x[89])*q^23 + (x[42]+x[43]+x[44]+3*x[53]+x[55]-x[56]+4*x[60]+3*x[61]+3*x[62]+x[63]-x[65]+4*x[70]+3*x[71]+x[72]+2*x[74]+x[76]+x[77]-x[78]+5*x[79]+x[84]+4*x[86]+x[87]+2*x[92]-2*x[93]+2*x[94]-2*x[95]-x[102])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+3*x[57]+2*x[58]+4*x[67]+4*x[68]+6*x[75]+3*x[80]+3*x[81]+4*x[82]+3*x[89]+2*x[91]-x[96]+x[98]+x[103]-x[107])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+2*x[60]+2*x[61]+x[62]+2*x[63]+x[65]+3*x[70]+4*x[71]+x[72]+2*x[76]+3*x[77]+5*x[79]+6*x[83]+2*x[84]+4*x[86]+2*x[90]+x[92]+3*x[93]-x[94]+x[95]+x[101]+x[102])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+2*x[67]+3*x[68]+4*x[73]+6*x[75]+5*x[80]+3*x[81]+3*x[82]+3*x[88]+6*x[89]+x[91]+2*x[96]+4*x[97]-x[98]+x[99]-x[103]+x[107])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+4*x[71]+x[72]+x[74]+2*x[76]+2*x[77]+x[78]+5*x[79]+5*x[83]+4*x[84]+4*x[86]+x[87]+3*x[90]+3*x[92]+3*x[93]+x[94]+3*x[101]+2*x[102]-x[106]+x[109])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+x[73]+4*x[75]+2*x[80]+4*x[81]+6*x[82]+x[85]+7*x[89]+2*x[91]+x[96]+3*x[97]+2*x[98]-x[99]+2*x[103])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+4*x[79]+3*x[83]+3*x[84]+5*x[86]+x[87]+2*x[90]+5*x[92]+2*x[93]+4*x[94]-x[95]+x[100]+3*x[101]+x[105]+x[106]-x[109])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+x[85]+x[88]+6*x[89]+3*x[91]+2*x[96]+4*x[97]+3*x[98]+3*x[103]-x[107])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+4*x[92]+3*x[93]+x[94]+x[95]+2*x[100]+4*x[101]+2*x[102]+x[104]+x[106])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+x[98]+2*x[103]+2*x[107]+x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+2*x[100]+3*x[101]+2*x[102]+x[104]+x[105]+x[106]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]-x[109])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]-x[111])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #19 : A3+A2 dim = 178 A(O) = S2 , |A(O)_0| = 2 g_s = 3*V[6]+8*V[5]+8*V[4]+16*V[3]+16*V[2]+8*V[1]+11*V[0] Z_G(x)_0 = B2+T1 # Green Polys by orbit reps #19.1 : x[26] : A3+A2,[2] : phi[3240,31] Qxi[E8,19,1] = (x[26])*q^31 + (x[28]+x[32]+x[34]+x[39]+x[43])*q^30 + (x[30]+x[33]+2*x[35]+x[37]+x[40]+2*x[41]+2*x[45]+2*x[47]+x[57]+x[58])*q^29 + (x[31]+x[32]+2*x[34]+x[36]+x[38]+3*x[39]+2*x[42]+3*x[43]+2*x[44]+x[49]+2*x[53]+x[54]+2*x[55]+x[56]+x[60]+3*x[61]+3*x[62]+2*x[63]+x[65]+x[71])*q^28 + (2*x[35]+x[37]+2*x[40]+4*x[41]+4*x[45]+5*x[47]+x[48]+2*x[51]+2*x[52]+7*x[57]+5*x[58]+3*x[67]+4*x[68]+x[69]+x[73]+2*x[75]+x[80]+x[82])*q^27 + (x[34]+x[36]+x[38]+2*x[39]+4*x[42]+5*x[43]+3*x[44]+2*x[49]+x[50]+7*x[53]+3*x[54]+5*x[55]+x[56]+4*x[60]+6*x[61]+7*x[62]+6*x[63]+x[64]+x[65]+4*x[70]+8*x[71]+x[74]+x[76]+4*x[79]+3*x[83]+x[84]+x[86])*q^26 + (x[37]+x[40]+3*x[41]+4*x[45]+5*x[47]+2*x[48]+4*x[51]+3*x[52]+12*x[57]+8*x[58]+9*x[67]+9*x[68]+4*x[69]+5*x[73]+10*x[75]+6*x[80]+x[81]+6*x[82]+x[85]+x[88]+3*x[89])*q^25 + (x[39]+3*x[42]+3*x[43]+x[44]+x[46]+3*x[49]+x[50]+7*x[53]+5*x[54]+6*x[55]+2*x[56]+7*x[60]+8*x[61]+8*x[62]+6*x[63]+2*x[64]+2*x[65]+8*x[70]+14*x[71]+2*x[72]+4*x[74]+2*x[76]+3*x[77]+x[78]+12*x[79]+10*x[83]+4*x[84]+6*x[86]+x[90]+x[92]+3*x[93]+3*x[94])*q^24 + (x[41]+2*x[45]+3*x[47]+x[48]+3*x[51]+2*x[52]+10*x[57]+7*x[58]+x[59]+11*x[67]+12*x[68]+4*x[69]+8*x[73]+15*x[75]+11*x[80]+6*x[81]+13*x[82]+3*x[85]+2*x[88]+11*x[89]+x[91]+3*x[97]+2*x[98])*q^23 + (x[42]+x[43]+x[44]+2*x[49]+5*x[53]+2*x[54]+3*x[55]+x[56]+7*x[60]+5*x[61]+5*x[62]+4*x[63]+2*x[64]+x[65]+9*x[70]+16*x[71]+3*x[72]+5*x[74]+4*x[76]+4*x[77]+2*x[78]+14*x[79]+15*x[83]+10*x[84]+11*x[86]+x[87]+6*x[90]+5*x[92]+6*x[93]+6*x[94]+x[95]+x[100]+2*x[101])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+5*x[57]+4*x[58]+8*x[67]+9*x[68]+4*x[69]+8*x[73]+13*x[75]+11*x[80]+8*x[81]+15*x[82]+5*x[85]+4*x[88]+18*x[89]+3*x[91]+2*x[96]+8*x[97]+5*x[98]+2*x[103])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+4*x[60]+2*x[61]+3*x[62]+2*x[63]+x[65]+5*x[70]+10*x[71]+3*x[72]+5*x[74]+2*x[76]+6*x[77]+3*x[78]+12*x[79]+14*x[83]+10*x[84]+11*x[86]+2*x[87]+7*x[90]+10*x[92]+10*x[93]+9*x[94]+x[95]+3*x[100]+5*x[101]+3*x[102]+x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+4*x[67]+5*x[68]+2*x[69]+6*x[73]+8*x[75]+7*x[80]+7*x[81]+12*x[82]+5*x[85]+3*x[88]+18*x[89]+4*x[91]+5*x[96]+11*x[97]+7*x[98]+5*x[103]+x[107])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+6*x[71]+x[72]+3*x[74]+2*x[76]+4*x[77]+3*x[78]+7*x[79]+9*x[83]+9*x[84]+8*x[86]+x[87]+7*x[90]+11*x[92]+7*x[93]+8*x[94]+2*x[95]+6*x[100]+9*x[101]+2*x[102]+2*x[106])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+3*x[73]+4*x[75]+4*x[80]+4*x[81]+8*x[82]+3*x[85]+2*x[88]+13*x[89]+4*x[91]+5*x[96]+10*x[97]+7*x[98]+x[99]+8*x[103]+2*x[107]+x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+2*x[78]+4*x[79]+5*x[83]+5*x[84]+5*x[86]+x[87]+4*x[90]+9*x[92]+6*x[93]+6*x[94]+x[95]+6*x[100]+7*x[101]+3*x[102]+2*x[104]+2*x[105]+4*x[106]+x[109])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+3*x[85]+x[88]+8*x[89]+3*x[91]+4*x[96]+8*x[97]+5*x[98]+7*x[103]+2*x[107]+3*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+6*x[92]+3*x[93]+3*x[94]+x[95]+6*x[100]+6*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+3*x[98]+6*x[103]+2*x[107]+3*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+4*x[100]+3*x[101]+2*x[102]+x[104]+3*x[105]+3*x[106]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+2*x[107]+3*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]+x[111])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #19.2 : x[27] : A3+A2,[1, 1] : phi[972,32] Qxi[E8,19,2] = (x[27])*q^31 + (x[41])*q^30 + (x[36]+x[42]+x[44]+x[53])*q^29 + (x[41]+x[51]+x[52]+x[57]+x[67])*q^28 + (x[42]+x[46]+x[50]+x[53]+x[54]+x[55]+x[61]+x[70]+x[72]+x[79])*q^27 + (x[51]+x[52]+x[57]+2*x[67]+x[75]+x[80]+x[81])*q^26 + (x[53]+2*x[70]+x[71]+x[72]+x[76]+x[79]+x[86]+x[90])*q^25 + (x[67]+x[75]+x[80]+2*x[81]+x[89])*q^24 + (x[72]+x[77]+x[79]+x[86]+x[87]+x[90]+x[93])*q^23 + (x[81]+x[89]+x[96])*q^22 + (x[90]+x[101])*q^21 + (x[96])*q^20 + (x[104])*q^19 # Green Polys by conj class in A(O) #19.1 : c = () |O_x_c^F| = 1/2*q^57*(q^2+q+1)*(q^3+1)*(q^4+1)*(q^6+1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,19,1] = (x[26]+x[27])*q^31 + (x[28]+x[32]+x[34]+x[39]+x[41]+x[43])*q^30 + (x[30]+x[33]+2*x[35]+x[36]+x[37]+x[40]+2*x[41]+x[42]+x[44]+2*x[45]+2*x[47]+x[53]+x[57]+x[58])*q^29 + (x[31]+x[32]+2*x[34]+x[36]+x[38]+3*x[39]+x[41]+2*x[42]+3*x[43]+2*x[44]+x[49]+x[51]+x[52]+2*x[53]+x[54]+2*x[55]+x[56]+x[57]+x[60]+3*x[61]+3*x[62]+2*x[63]+x[65]+x[67]+x[71])*q^28 + (2*x[35]+x[37]+2*x[40]+4*x[41]+x[42]+4*x[45]+x[46]+5*x[47]+x[48]+x[50]+2*x[51]+2*x[52]+x[53]+x[54]+x[55]+7*x[57]+5*x[58]+x[61]+3*x[67]+4*x[68]+x[69]+x[70]+x[72]+x[73]+2*x[75]+x[79]+x[80]+x[82])*q^27 + (x[34]+x[36]+x[38]+2*x[39]+4*x[42]+5*x[43]+3*x[44]+2*x[49]+x[50]+x[51]+x[52]+7*x[53]+3*x[54]+5*x[55]+x[56]+x[57]+4*x[60]+6*x[61]+7*x[62]+6*x[63]+x[64]+x[65]+2*x[67]+4*x[70]+8*x[71]+x[74]+x[75]+x[76]+4*x[79]+x[80]+x[81]+3*x[83]+x[84]+x[86])*q^26 + (x[37]+x[40]+3*x[41]+4*x[45]+5*x[47]+2*x[48]+4*x[51]+3*x[52]+x[53]+12*x[57]+8*x[58]+9*x[67]+9*x[68]+4*x[69]+2*x[70]+x[71]+x[72]+5*x[73]+10*x[75]+x[76]+x[79]+6*x[80]+x[81]+6*x[82]+x[85]+x[86]+x[88]+3*x[89]+x[90])*q^25 + (x[39]+3*x[42]+3*x[43]+x[44]+x[46]+3*x[49]+x[50]+7*x[53]+5*x[54]+6*x[55]+2*x[56]+7*x[60]+8*x[61]+8*x[62]+6*x[63]+2*x[64]+2*x[65]+x[67]+8*x[70]+14*x[71]+2*x[72]+4*x[74]+x[75]+2*x[76]+3*x[77]+x[78]+12*x[79]+x[80]+2*x[81]+10*x[83]+4*x[84]+6*x[86]+x[89]+x[90]+x[92]+3*x[93]+3*x[94])*q^24 + (x[41]+2*x[45]+3*x[47]+x[48]+3*x[51]+2*x[52]+10*x[57]+7*x[58]+x[59]+11*x[67]+12*x[68]+4*x[69]+x[72]+8*x[73]+15*x[75]+x[77]+x[79]+11*x[80]+6*x[81]+13*x[82]+3*x[85]+x[86]+x[87]+2*x[88]+11*x[89]+x[90]+x[91]+x[93]+3*x[97]+2*x[98])*q^23 + (x[42]+x[43]+x[44]+2*x[49]+5*x[53]+2*x[54]+3*x[55]+x[56]+7*x[60]+5*x[61]+5*x[62]+4*x[63]+2*x[64]+x[65]+9*x[70]+16*x[71]+3*x[72]+5*x[74]+4*x[76]+4*x[77]+2*x[78]+14*x[79]+x[81]+15*x[83]+10*x[84]+11*x[86]+x[87]+x[89]+6*x[90]+5*x[92]+6*x[93]+6*x[94]+x[95]+x[96]+x[100]+2*x[101])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+5*x[57]+4*x[58]+8*x[67]+9*x[68]+4*x[69]+8*x[73]+13*x[75]+11*x[80]+8*x[81]+15*x[82]+5*x[85]+4*x[88]+18*x[89]+x[90]+3*x[91]+2*x[96]+8*x[97]+5*x[98]+x[101]+2*x[103])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+4*x[60]+2*x[61]+3*x[62]+2*x[63]+x[65]+5*x[70]+10*x[71]+3*x[72]+5*x[74]+2*x[76]+6*x[77]+3*x[78]+12*x[79]+14*x[83]+10*x[84]+11*x[86]+2*x[87]+7*x[90]+10*x[92]+10*x[93]+9*x[94]+x[95]+x[96]+3*x[100]+5*x[101]+3*x[102]+x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+4*x[67]+5*x[68]+2*x[69]+6*x[73]+8*x[75]+7*x[80]+7*x[81]+12*x[82]+5*x[85]+3*x[88]+18*x[89]+4*x[91]+5*x[96]+11*x[97]+7*x[98]+5*x[103]+x[104]+x[107])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+6*x[71]+x[72]+3*x[74]+2*x[76]+4*x[77]+3*x[78]+7*x[79]+9*x[83]+9*x[84]+8*x[86]+x[87]+7*x[90]+11*x[92]+7*x[93]+8*x[94]+2*x[95]+6*x[100]+9*x[101]+2*x[102]+2*x[106])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+3*x[73]+4*x[75]+4*x[80]+4*x[81]+8*x[82]+3*x[85]+2*x[88]+13*x[89]+4*x[91]+5*x[96]+10*x[97]+7*x[98]+x[99]+8*x[103]+2*x[107]+x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+2*x[78]+4*x[79]+5*x[83]+5*x[84]+5*x[86]+x[87]+4*x[90]+9*x[92]+6*x[93]+6*x[94]+x[95]+6*x[100]+7*x[101]+3*x[102]+2*x[104]+2*x[105]+4*x[106]+x[109])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+3*x[85]+x[88]+8*x[89]+3*x[91]+4*x[96]+8*x[97]+5*x[98]+7*x[103]+2*x[107]+3*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+6*x[92]+3*x[93]+3*x[94]+x[95]+6*x[100]+6*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+3*x[98]+6*x[103]+2*x[107]+3*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+4*x[100]+3*x[101]+2*x[102]+x[104]+3*x[105]+3*x[106]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+2*x[107]+3*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]+x[111])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #19.2 : c = (1) |O_x_c^F| = 1/2*q^57*(q^2-q+1)*(q^3-1)*(q^4+1)*(q^6+1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,19,2] = (x[26]-x[27])*q^31 + (x[28]+x[32]+x[34]+x[39]-x[41]+x[43])*q^30 + (x[30]+x[33]+2*x[35]-x[36]+x[37]+x[40]+2*x[41]-x[42]-x[44]+2*x[45]+2*x[47]-x[53]+x[57]+x[58])*q^29 + (x[31]+x[32]+2*x[34]+x[36]+x[38]+3*x[39]-x[41]+2*x[42]+3*x[43]+2*x[44]+x[49]-x[51]-x[52]+2*x[53]+x[54]+2*x[55]+x[56]-x[57]+x[60]+3*x[61]+3*x[62]+2*x[63]+x[65]-x[67]+x[71])*q^28 + (2*x[35]+x[37]+2*x[40]+4*x[41]-x[42]+4*x[45]-x[46]+5*x[47]+x[48]-x[50]+2*x[51]+2*x[52]-x[53]-x[54]-x[55]+7*x[57]+5*x[58]-x[61]+3*x[67]+4*x[68]+x[69]-x[70]-x[72]+x[73]+2*x[75]-x[79]+x[80]+x[82])*q^27 + (x[34]+x[36]+x[38]+2*x[39]+4*x[42]+5*x[43]+3*x[44]+2*x[49]+x[50]-x[51]-x[52]+7*x[53]+3*x[54]+5*x[55]+x[56]-x[57]+4*x[60]+6*x[61]+7*x[62]+6*x[63]+x[64]+x[65]-2*x[67]+4*x[70]+8*x[71]+x[74]-x[75]+x[76]+4*x[79]-x[80]-x[81]+3*x[83]+x[84]+x[86])*q^26 + (x[37]+x[40]+3*x[41]+4*x[45]+5*x[47]+2*x[48]+4*x[51]+3*x[52]-x[53]+12*x[57]+8*x[58]+9*x[67]+9*x[68]+4*x[69]-2*x[70]-x[71]-x[72]+5*x[73]+10*x[75]-x[76]-x[79]+6*x[80]+x[81]+6*x[82]+x[85]-x[86]+x[88]+3*x[89]-x[90])*q^25 + (x[39]+3*x[42]+3*x[43]+x[44]+x[46]+3*x[49]+x[50]+7*x[53]+5*x[54]+6*x[55]+2*x[56]+7*x[60]+8*x[61]+8*x[62]+6*x[63]+2*x[64]+2*x[65]-x[67]+8*x[70]+14*x[71]+2*x[72]+4*x[74]-x[75]+2*x[76]+3*x[77]+x[78]+12*x[79]-x[80]-2*x[81]+10*x[83]+4*x[84]+6*x[86]-x[89]+x[90]+x[92]+3*x[93]+3*x[94])*q^24 + (x[41]+2*x[45]+3*x[47]+x[48]+3*x[51]+2*x[52]+10*x[57]+7*x[58]+x[59]+11*x[67]+12*x[68]+4*x[69]-x[72]+8*x[73]+15*x[75]-x[77]-x[79]+11*x[80]+6*x[81]+13*x[82]+3*x[85]-x[86]-x[87]+2*x[88]+11*x[89]-x[90]+x[91]-x[93]+3*x[97]+2*x[98])*q^23 + (x[42]+x[43]+x[44]+2*x[49]+5*x[53]+2*x[54]+3*x[55]+x[56]+7*x[60]+5*x[61]+5*x[62]+4*x[63]+2*x[64]+x[65]+9*x[70]+16*x[71]+3*x[72]+5*x[74]+4*x[76]+4*x[77]+2*x[78]+14*x[79]-x[81]+15*x[83]+10*x[84]+11*x[86]+x[87]-x[89]+6*x[90]+5*x[92]+6*x[93]+6*x[94]+x[95]-x[96]+x[100]+2*x[101])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+5*x[57]+4*x[58]+8*x[67]+9*x[68]+4*x[69]+8*x[73]+13*x[75]+11*x[80]+8*x[81]+15*x[82]+5*x[85]+4*x[88]+18*x[89]-x[90]+3*x[91]+2*x[96]+8*x[97]+5*x[98]-x[101]+2*x[103])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+4*x[60]+2*x[61]+3*x[62]+2*x[63]+x[65]+5*x[70]+10*x[71]+3*x[72]+5*x[74]+2*x[76]+6*x[77]+3*x[78]+12*x[79]+14*x[83]+10*x[84]+11*x[86]+2*x[87]+7*x[90]+10*x[92]+10*x[93]+9*x[94]+x[95]-x[96]+3*x[100]+5*x[101]+3*x[102]+x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+4*x[67]+5*x[68]+2*x[69]+6*x[73]+8*x[75]+7*x[80]+7*x[81]+12*x[82]+5*x[85]+3*x[88]+18*x[89]+4*x[91]+5*x[96]+11*x[97]+7*x[98]+5*x[103]-x[104]+x[107])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+6*x[71]+x[72]+3*x[74]+2*x[76]+4*x[77]+3*x[78]+7*x[79]+9*x[83]+9*x[84]+8*x[86]+x[87]+7*x[90]+11*x[92]+7*x[93]+8*x[94]+2*x[95]+6*x[100]+9*x[101]+2*x[102]+2*x[106])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+3*x[73]+4*x[75]+4*x[80]+4*x[81]+8*x[82]+3*x[85]+2*x[88]+13*x[89]+4*x[91]+5*x[96]+10*x[97]+7*x[98]+x[99]+8*x[103]+2*x[107]+x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+2*x[78]+4*x[79]+5*x[83]+5*x[84]+5*x[86]+x[87]+4*x[90]+9*x[92]+6*x[93]+6*x[94]+x[95]+6*x[100]+7*x[101]+3*x[102]+2*x[104]+2*x[105]+4*x[106]+x[109])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+3*x[85]+x[88]+8*x[89]+3*x[91]+4*x[96]+8*x[97]+5*x[98]+7*x[103]+2*x[107]+3*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+6*x[92]+3*x[93]+3*x[94]+x[95]+6*x[100]+6*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+3*x[98]+6*x[103]+2*x[107]+3*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+4*x[100]+3*x[101]+2*x[102]+x[104]+3*x[105]+3*x[106]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+2*x[107]+3*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]+x[111])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #20 : A4 dim = 180 A(O) = S2 , |A(O)_0| = 2 g_s = V[8]+11*V[6]+21*V[4]+11*V[2]+24*V[0] Z_G(x)_0 = A4 # Green Polys by orbit reps #20.1 : x[28] : A4,[2] : phi[2268,30] Qxi[E8,20,1] = (x[28])*q^30 + (x[35]+x[37]+x[47])*q^29 + (x[34]+x[38]+x[39]+x[42]+x[43]+x[49]+x[61]+x[62]+x[63]+x[65])*q^28 + (x[35]+x[37]+x[40]+x[41]+x[45]+3*x[47]+x[48]+2*x[57]+2*x[58]+x[67]+2*x[68]+x[69]+x[73])*q^27 + (x[34]+x[38]+x[39]+2*x[42]+3*x[43]+x[44]+2*x[49]+2*x[53]+x[54]+x[55]+x[60]+2*x[61]+4*x[62]+4*x[63]+x[64]+x[65]+x[70]+4*x[71]+x[74]+x[79]+x[83]+x[84])*q^26 + (x[37]+x[40]+2*x[41]+2*x[45]+4*x[47]+2*x[48]+x[51]+6*x[57]+5*x[58]+4*x[67]+6*x[68]+3*x[69]+4*x[73]+3*x[75]+3*x[80]+3*x[82]+x[85]+x[89])*q^25 + (x[39]+2*x[42]+3*x[43]+x[44]+3*x[49]+4*x[53]+3*x[54]+3*x[55]+x[56]+4*x[60]+5*x[61]+6*x[62]+5*x[63]+2*x[64]+2*x[65]+3*x[70]+9*x[71]+x[72]+4*x[74]+x[77]+x[78]+6*x[79]+6*x[83]+3*x[84]+2*x[86]+2*x[93]+2*x[94])*q^24 + (x[41]+2*x[45]+3*x[47]+x[48]+2*x[51]+x[52]+8*x[57]+6*x[58]+x[59]+7*x[67]+10*x[68]+4*x[69]+7*x[73]+8*x[75]+7*x[80]+2*x[81]+9*x[82]+3*x[85]+x[88]+6*x[89]+2*x[97]+2*x[98])*q^23 + (x[42]+x[43]+x[44]+2*x[49]+4*x[53]+2*x[54]+3*x[55]+x[56]+6*x[60]+5*x[61]+5*x[62]+4*x[63]+2*x[64]+x[65]+6*x[70]+13*x[71]+2*x[72]+5*x[74]+2*x[76]+2*x[77]+2*x[78]+10*x[79]+12*x[83]+8*x[84]+6*x[86]+3*x[90]+3*x[92]+4*x[93]+5*x[94]+x[95]+x[100]+x[101])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+5*x[57]+4*x[58]+7*x[67]+9*x[68]+4*x[69]+8*x[73]+11*x[75]+9*x[80]+5*x[81]+13*x[82]+5*x[85]+3*x[88]+13*x[89]+x[91]+x[96]+6*x[97]+5*x[98]+x[103])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+4*x[60]+2*x[61]+3*x[62]+2*x[63]+x[65]+5*x[70]+10*x[71]+2*x[72]+5*x[74]+2*x[76]+4*x[77]+3*x[78]+11*x[79]+13*x[83]+10*x[84]+9*x[86]+x[87]+5*x[90]+8*x[92]+8*x[93]+8*x[94]+x[95]+3*x[100]+3*x[101]+2*x[102]+x[106])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+4*x[67]+5*x[68]+2*x[69]+6*x[73]+8*x[75]+7*x[80]+6*x[81]+12*x[82]+5*x[85]+3*x[88]+16*x[89]+3*x[91]+3*x[96]+10*x[97]+7*x[98]+4*x[103]+x[107])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+6*x[71]+x[72]+3*x[74]+2*x[76]+4*x[77]+3*x[78]+7*x[79]+9*x[83]+9*x[84]+8*x[86]+x[87]+6*x[90]+10*x[92]+7*x[93]+8*x[94]+2*x[95]+6*x[100]+7*x[101]+2*x[102]+2*x[106])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+3*x[73]+4*x[75]+4*x[80]+4*x[81]+8*x[82]+3*x[85]+2*x[88]+13*x[89]+4*x[91]+4*x[96]+10*x[97]+7*x[98]+x[99]+7*x[103]+2*x[107]+x[108])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+2*x[78]+4*x[79]+5*x[83]+5*x[84]+5*x[86]+x[87]+4*x[90]+9*x[92]+6*x[93]+6*x[94]+x[95]+6*x[100]+7*x[101]+3*x[102]+x[104]+x[105]+4*x[106]+x[109])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+3*x[85]+x[88]+8*x[89]+3*x[91]+4*x[96]+8*x[97]+5*x[98]+7*x[103]+2*x[107]+3*x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+6*x[92]+3*x[93]+3*x[94]+x[95]+6*x[100]+6*x[101]+2*x[102]+x[104]+2*x[105]+3*x[106]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+3*x[98]+6*x[103]+2*x[107]+3*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+4*x[100]+3*x[101]+2*x[102]+x[104]+3*x[105]+3*x[106]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+2*x[107]+3*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]+x[111])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #20.2 : x[29] : A4,[1, 1] : phi[1296,33] Qxi[E8,20,2] = (x[29])*q^30 + (x[34]+x[38]+x[64])*q^29 + (x[35]+x[37]+x[40]+x[47]+x[48]+x[58]+x[69])*q^28 + (x[34]+x[38]+x[39]+x[42]+2*x[43]+x[49]+x[54]+2*x[62]+2*x[63]+x[64]+x[65]+x[71]+x[74])*q^27 + (x[35]+x[37]+x[40]+x[41]+x[45]+3*x[47]+2*x[48]+3*x[57]+3*x[58]+x[59]+x[67]+3*x[68]+2*x[69]+x[73]+x[80]+x[82]+x[85])*q^26 + (x[38]+x[39]+2*x[42]+3*x[43]+x[44]+2*x[49]+2*x[53]+2*x[54]+x[55]+x[56]+2*x[60]+2*x[61]+5*x[62]+4*x[63]+2*x[64]+x[65]+x[66]+x[70]+5*x[71]+3*x[74]+2*x[79]+2*x[83]+x[84]+x[94]+x[95])*q^25 + (x[40]+x[41]+2*x[45]+3*x[47]+2*x[48]+x[51]+6*x[57]+5*x[58]+x[59]+4*x[67]+7*x[68]+4*x[69]+4*x[73]+3*x[75]+4*x[80]+5*x[82]+2*x[85]+x[88]+2*x[89]+x[98]+x[99])*q^24 + (x[42]+2*x[43]+x[44]+2*x[49]+3*x[53]+3*x[54]+2*x[55]+x[56]+4*x[60]+4*x[61]+5*x[62]+4*x[63]+3*x[64]+x[65]+3*x[70]+9*x[71]+x[72]+5*x[74]+x[77]+x[78]+6*x[79]+8*x[83]+4*x[84]+2*x[86]+x[90]+x[92]+2*x[93]+3*x[94]+x[95])*q^23 + (x[45]+x[47]+x[48]+2*x[51]+x[52]+5*x[57]+5*x[58]+x[59]+5*x[67]+8*x[68]+4*x[69]+6*x[73]+7*x[75]+7*x[80]+2*x[81]+9*x[82]+5*x[85]+2*x[88]+7*x[89]+3*x[97]+3*x[98])*q^22 + (x[49]+2*x[53]+2*x[54]+2*x[55]+x[56]+4*x[60]+2*x[61]+3*x[62]+2*x[63]+2*x[64]+x[65]+4*x[70]+9*x[71]+x[72]+5*x[74]+2*x[76]+2*x[77]+2*x[78]+8*x[79]+11*x[83]+7*x[84]+5*x[86]+3*x[90]+4*x[92]+4*x[93]+6*x[94]+2*x[95]+2*x[100]+x[101]+x[102])*q^21 + (2*x[57]+2*x[58]+3*x[67]+5*x[68]+3*x[69]+5*x[73]+7*x[75]+6*x[80]+4*x[81]+10*x[82]+6*x[85]+3*x[88]+11*x[89]+x[91]+x[96]+6*x[97]+5*x[98]+2*x[103]+x[107])*q^20 + (2*x[60]+x[62]+x[63]+2*x[70]+5*x[71]+x[72]+4*x[74]+x[76]+3*x[77]+2*x[78]+6*x[79]+8*x[83]+7*x[84]+6*x[86]+x[87]+4*x[90]+7*x[92]+5*x[93]+7*x[94]+2*x[95]+4*x[100]+3*x[101]+2*x[102]+x[106])*q^19 + (x[67]+2*x[68]+x[69]+2*x[73]+2*x[75]+3*x[80]+3*x[81]+7*x[82]+4*x[85]+2*x[88]+10*x[89]+3*x[91]+2*x[96]+7*x[97]+6*x[98]+x[99]+4*x[103]+2*x[107])*q^18 + (x[71]+2*x[74]+2*x[77]+x[78]+2*x[79]+4*x[83]+4*x[84]+3*x[86]+3*x[90]+7*x[92]+4*x[93]+5*x[94]+2*x[95]+5*x[100]+5*x[101]+2*x[102]+2*x[106]+x[109])*q^17 + (x[73]+x[80]+2*x[82]+2*x[85]+x[88]+5*x[89]+2*x[91]+3*x[96]+6*x[97]+4*x[98]+x[99]+5*x[103]+2*x[107]+x[108])*q^16 + (x[78]+x[83]+2*x[84]+x[90]+4*x[92]+2*x[93]+2*x[94]+x[95]+4*x[100]+4*x[101]+2*x[102]+x[104]+x[105]+2*x[106]+x[109])*q^15 + (x[85]+x[89]+x[96]+3*x[97]+2*x[98]+4*x[103]+2*x[107]+2*x[108])*q^14 + (x[92]+x[94]+3*x[100]+x[101]+x[102]+2*x[105]+2*x[106]+x[110])*q^13 + (x[98]+2*x[103]+x[107]+2*x[108])*q^12 + (x[100]+x[105]+x[106]+x[110])*q^11 + (x[107]+x[108])*q^10 + (x[109]+x[110])*q^9 + (x[111])*q^8 # Green Polys by conj class in A(O) #20.1 : c = () |O_x_c^F| = 1/2*q^66*(q^2+q+1)*(1-q+q^3-q^4+q^5-q^7+q^8)*(q^3+1)*(q^4+1)*(q^6+1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^18-1)*(q^20-1) Qxc[E8,20,1] = (x[28]+x[29])*q^30 + (x[34]+x[35]+x[37]+x[38]+x[47]+x[64])*q^29 + (x[34]+x[35]+x[37]+x[38]+x[39]+x[40]+x[42]+x[43]+x[47]+x[48]+x[49]+x[58]+x[61]+x[62]+x[63]+x[65]+x[69])*q^28 + (x[34]+x[35]+x[37]+x[38]+x[39]+x[40]+x[41]+x[42]+2*x[43]+x[45]+3*x[47]+x[48]+x[49]+x[54]+2*x[57]+2*x[58]+2*x[62]+2*x[63]+x[64]+x[65]+x[67]+2*x[68]+x[69]+x[71]+x[73]+x[74])*q^27 + (x[34]+x[35]+x[37]+x[38]+x[39]+x[40]+x[41]+2*x[42]+3*x[43]+x[44]+x[45]+3*x[47]+2*x[48]+2*x[49]+2*x[53]+x[54]+x[55]+3*x[57]+3*x[58]+x[59]+x[60]+2*x[61]+4*x[62]+4*x[63]+x[64]+x[65]+x[67]+3*x[68]+2*x[69]+x[70]+4*x[71]+x[73]+x[74]+x[79]+x[80]+x[82]+x[83]+x[84]+x[85])*q^26 + (x[37]+x[38]+x[39]+x[40]+2*x[41]+2*x[42]+3*x[43]+x[44]+2*x[45]+4*x[47]+2*x[48]+2*x[49]+x[51]+2*x[53]+2*x[54]+x[55]+x[56]+6*x[57]+5*x[58]+2*x[60]+2*x[61]+5*x[62]+4*x[63]+2*x[64]+x[65]+x[66]+4*x[67]+6*x[68]+3*x[69]+x[70]+5*x[71]+4*x[73]+3*x[74]+3*x[75]+2*x[79]+3*x[80]+3*x[82]+2*x[83]+x[84]+x[85]+x[89]+x[94]+x[95])*q^25 + (x[39]+x[40]+x[41]+2*x[42]+3*x[43]+x[44]+2*x[45]+3*x[47]+2*x[48]+3*x[49]+x[51]+4*x[53]+3*x[54]+3*x[55]+x[56]+6*x[57]+5*x[58]+x[59]+4*x[60]+5*x[61]+6*x[62]+5*x[63]+2*x[64]+2*x[65]+4*x[67]+7*x[68]+4*x[69]+3*x[70]+9*x[71]+x[72]+4*x[73]+4*x[74]+3*x[75]+x[77]+x[78]+6*x[79]+4*x[80]+5*x[82]+6*x[83]+3*x[84]+2*x[85]+2*x[86]+x[88]+2*x[89]+2*x[93]+2*x[94]+x[98]+x[99])*q^24 + (x[41]+x[42]+2*x[43]+x[44]+2*x[45]+3*x[47]+x[48]+2*x[49]+2*x[51]+x[52]+3*x[53]+3*x[54]+2*x[55]+x[56]+8*x[57]+6*x[58]+x[59]+4*x[60]+4*x[61]+5*x[62]+4*x[63]+3*x[64]+x[65]+7*x[67]+10*x[68]+4*x[69]+3*x[70]+9*x[71]+x[72]+7*x[73]+5*x[74]+8*x[75]+x[77]+x[78]+6*x[79]+7*x[80]+2*x[81]+9*x[82]+8*x[83]+4*x[84]+3*x[85]+2*x[86]+x[88]+6*x[89]+x[90]+x[92]+2*x[93]+3*x[94]+x[95]+2*x[97]+2*x[98])*q^23 + (x[42]+x[43]+x[44]+x[45]+x[47]+x[48]+2*x[49]+2*x[51]+x[52]+4*x[53]+2*x[54]+3*x[55]+x[56]+5*x[57]+5*x[58]+x[59]+6*x[60]+5*x[61]+5*x[62]+4*x[63]+2*x[64]+x[65]+5*x[67]+8*x[68]+4*x[69]+6*x[70]+13*x[71]+2*x[72]+6*x[73]+5*x[74]+7*x[75]+2*x[76]+2*x[77]+2*x[78]+10*x[79]+7*x[80]+2*x[81]+9*x[82]+12*x[83]+8*x[84]+5*x[85]+6*x[86]+2*x[88]+7*x[89]+3*x[90]+3*x[92]+4*x[93]+5*x[94]+x[95]+3*x[97]+3*x[98]+x[100]+x[101])*q^22 + (x[45]+x[47]+x[49]+2*x[51]+x[52]+2*x[53]+2*x[54]+2*x[55]+x[56]+5*x[57]+4*x[58]+4*x[60]+2*x[61]+3*x[62]+2*x[63]+2*x[64]+x[65]+7*x[67]+9*x[68]+4*x[69]+4*x[70]+9*x[71]+x[72]+8*x[73]+5*x[74]+11*x[75]+2*x[76]+2*x[77]+2*x[78]+8*x[79]+9*x[80]+5*x[81]+13*x[82]+11*x[83]+7*x[84]+5*x[85]+5*x[86]+3*x[88]+13*x[89]+3*x[90]+x[91]+4*x[92]+4*x[93]+6*x[94]+2*x[95]+x[96]+6*x[97]+5*x[98]+2*x[100]+x[101]+x[102]+x[103])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+2*x[57]+2*x[58]+4*x[60]+2*x[61]+3*x[62]+2*x[63]+x[65]+3*x[67]+5*x[68]+3*x[69]+5*x[70]+10*x[71]+2*x[72]+5*x[73]+5*x[74]+7*x[75]+2*x[76]+4*x[77]+3*x[78]+11*x[79]+6*x[80]+4*x[81]+10*x[82]+13*x[83]+10*x[84]+6*x[85]+9*x[86]+x[87]+3*x[88]+11*x[89]+5*x[90]+x[91]+8*x[92]+8*x[93]+8*x[94]+x[95]+x[96]+6*x[97]+5*x[98]+3*x[100]+3*x[101]+2*x[102]+2*x[103]+x[106]+x[107])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+2*x[60]+x[62]+x[63]+4*x[67]+5*x[68]+2*x[69]+2*x[70]+5*x[71]+x[72]+6*x[73]+4*x[74]+8*x[75]+x[76]+3*x[77]+2*x[78]+6*x[79]+7*x[80]+6*x[81]+12*x[82]+8*x[83]+7*x[84]+5*x[85]+6*x[86]+x[87]+3*x[88]+16*x[89]+4*x[90]+3*x[91]+7*x[92]+5*x[93]+7*x[94]+2*x[95]+3*x[96]+10*x[97]+7*x[98]+4*x[100]+3*x[101]+2*x[102]+4*x[103]+x[106]+x[107])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+x[67]+2*x[68]+x[69]+3*x[70]+6*x[71]+x[72]+2*x[73]+3*x[74]+2*x[75]+2*x[76]+4*x[77]+3*x[78]+7*x[79]+3*x[80]+3*x[81]+7*x[82]+9*x[83]+9*x[84]+4*x[85]+8*x[86]+x[87]+2*x[88]+10*x[89]+6*x[90]+3*x[91]+10*x[92]+7*x[93]+8*x[94]+2*x[95]+2*x[96]+7*x[97]+6*x[98]+x[99]+6*x[100]+7*x[101]+2*x[102]+4*x[103]+2*x[106]+2*x[107])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+x[71]+3*x[73]+2*x[74]+4*x[75]+2*x[77]+x[78]+2*x[79]+4*x[80]+4*x[81]+8*x[82]+4*x[83]+4*x[84]+3*x[85]+3*x[86]+2*x[88]+13*x[89]+3*x[90]+4*x[91]+7*x[92]+4*x[93]+5*x[94]+2*x[95]+4*x[96]+10*x[97]+7*x[98]+x[99]+5*x[100]+5*x[101]+2*x[102]+7*x[103]+2*x[106]+2*x[107]+x[108]+x[109])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+x[73]+2*x[74]+3*x[77]+2*x[78]+4*x[79]+x[80]+2*x[82]+5*x[83]+5*x[84]+2*x[85]+5*x[86]+x[87]+x[88]+5*x[89]+4*x[90]+2*x[91]+9*x[92]+6*x[93]+6*x[94]+x[95]+3*x[96]+6*x[97]+4*x[98]+x[99]+6*x[100]+7*x[101]+3*x[102]+5*x[103]+x[104]+x[105]+4*x[106]+2*x[107]+x[108]+x[109])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+x[78]+2*x[80]+2*x[81]+3*x[82]+x[83]+2*x[84]+3*x[85]+x[88]+8*x[89]+x[90]+3*x[91]+4*x[92]+2*x[93]+2*x[94]+x[95]+4*x[96]+8*x[97]+5*x[98]+4*x[100]+4*x[101]+2*x[102]+7*x[103]+x[104]+x[105]+2*x[106]+2*x[107]+3*x[108]+x[109])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+x[85]+2*x[86]+x[89]+3*x[90]+6*x[92]+3*x[93]+3*x[94]+x[95]+x[96]+3*x[97]+2*x[98]+6*x[100]+6*x[101]+2*x[102]+4*x[103]+x[104]+2*x[105]+3*x[106]+2*x[107]+2*x[108]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+x[92]+x[94]+3*x[96]+5*x[97]+3*x[98]+3*x[100]+x[101]+x[102]+6*x[103]+2*x[105]+2*x[106]+2*x[107]+3*x[108]+x[110])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+x[98]+4*x[100]+3*x[101]+2*x[102]+2*x[103]+x[104]+3*x[105]+3*x[106]+x[107]+2*x[108]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+x[100]+4*x[103]+x[105]+x[106]+2*x[107]+3*x[108]+x[110])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[107]+x[108]+x[109]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]+x[109]+x[110]+x[111])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110]+x[111])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #20.2 : c = (1) |O_x_c^F| = 1/2*q^66*(q^2-q+1)*(1+q-q^3-q^4-q^5+q^7+q^8)*(q^3-1)*(q^4+1)*(q^6+1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,20,2] = (x[28]-x[29])*q^30 + (-x[34]+x[35]+x[37]-x[38]+x[47]-x[64])*q^29 + (x[34]-x[35]-x[37]+x[38]+x[39]-x[40]+x[42]+x[43]-x[47]-x[48]+x[49]-x[58]+x[61]+x[62]+x[63]+x[65]-x[69])*q^28 + (-x[34]+x[35]+x[37]-x[38]-x[39]+x[40]+x[41]-x[42]-2*x[43]+x[45]+3*x[47]+x[48]-x[49]-x[54]+2*x[57]+2*x[58]-2*x[62]-2*x[63]-x[64]-x[65]+x[67]+2*x[68]+x[69]-x[71]+x[73]-x[74])*q^27 + (x[34]-x[35]-x[37]+x[38]+x[39]-x[40]-x[41]+2*x[42]+3*x[43]+x[44]-x[45]-3*x[47]-2*x[48]+2*x[49]+2*x[53]+x[54]+x[55]-3*x[57]-3*x[58]-x[59]+x[60]+2*x[61]+4*x[62]+4*x[63]+x[64]+x[65]-x[67]-3*x[68]-2*x[69]+x[70]+4*x[71]-x[73]+x[74]+x[79]-x[80]-x[82]+x[83]+x[84]-x[85])*q^26 + (x[37]-x[38]-x[39]+x[40]+2*x[41]-2*x[42]-3*x[43]-x[44]+2*x[45]+4*x[47]+2*x[48]-2*x[49]+x[51]-2*x[53]-2*x[54]-x[55]-x[56]+6*x[57]+5*x[58]-2*x[60]-2*x[61]-5*x[62]-4*x[63]-2*x[64]-x[65]-x[66]+4*x[67]+6*x[68]+3*x[69]-x[70]-5*x[71]+4*x[73]-3*x[74]+3*x[75]-2*x[79]+3*x[80]+3*x[82]-2*x[83]-x[84]+x[85]+x[89]-x[94]-x[95])*q^25 + (x[39]-x[40]-x[41]+2*x[42]+3*x[43]+x[44]-2*x[45]-3*x[47]-2*x[48]+3*x[49]-x[51]+4*x[53]+3*x[54]+3*x[55]+x[56]-6*x[57]-5*x[58]-x[59]+4*x[60]+5*x[61]+6*x[62]+5*x[63]+2*x[64]+2*x[65]-4*x[67]-7*x[68]-4*x[69]+3*x[70]+9*x[71]+x[72]-4*x[73]+4*x[74]-3*x[75]+x[77]+x[78]+6*x[79]-4*x[80]-5*x[82]+6*x[83]+3*x[84]-2*x[85]+2*x[86]-x[88]-2*x[89]+2*x[93]+2*x[94]-x[98]-x[99])*q^24 + (x[41]-x[42]-2*x[43]-x[44]+2*x[45]+3*x[47]+x[48]-2*x[49]+2*x[51]+x[52]-3*x[53]-3*x[54]-2*x[55]-x[56]+8*x[57]+6*x[58]+x[59]-4*x[60]-4*x[61]-5*x[62]-4*x[63]-3*x[64]-x[65]+7*x[67]+10*x[68]+4*x[69]-3*x[70]-9*x[71]-x[72]+7*x[73]-5*x[74]+8*x[75]-x[77]-x[78]-6*x[79]+7*x[80]+2*x[81]+9*x[82]-8*x[83]-4*x[84]+3*x[85]-2*x[86]+x[88]+6*x[89]-x[90]-x[92]-2*x[93]-3*x[94]-x[95]+2*x[97]+2*x[98])*q^23 + (x[42]+x[43]+x[44]-x[45]-x[47]-x[48]+2*x[49]-2*x[51]-x[52]+4*x[53]+2*x[54]+3*x[55]+x[56]-5*x[57]-5*x[58]-x[59]+6*x[60]+5*x[61]+5*x[62]+4*x[63]+2*x[64]+x[65]-5*x[67]-8*x[68]-4*x[69]+6*x[70]+13*x[71]+2*x[72]-6*x[73]+5*x[74]-7*x[75]+2*x[76]+2*x[77]+2*x[78]+10*x[79]-7*x[80]-2*x[81]-9*x[82]+12*x[83]+8*x[84]-5*x[85]+6*x[86]-2*x[88]-7*x[89]+3*x[90]+3*x[92]+4*x[93]+5*x[94]+x[95]-3*x[97]-3*x[98]+x[100]+x[101])*q^22 + (x[45]+x[47]-x[49]+2*x[51]+x[52]-2*x[53]-2*x[54]-2*x[55]-x[56]+5*x[57]+4*x[58]-4*x[60]-2*x[61]-3*x[62]-2*x[63]-2*x[64]-x[65]+7*x[67]+9*x[68]+4*x[69]-4*x[70]-9*x[71]-x[72]+8*x[73]-5*x[74]+11*x[75]-2*x[76]-2*x[77]-2*x[78]-8*x[79]+9*x[80]+5*x[81]+13*x[82]-11*x[83]-7*x[84]+5*x[85]-5*x[86]+3*x[88]+13*x[89]-3*x[90]+x[91]-4*x[92]-4*x[93]-6*x[94]-2*x[95]+x[96]+6*x[97]+5*x[98]-2*x[100]-x[101]-x[102]+x[103])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]-2*x[57]-2*x[58]+4*x[60]+2*x[61]+3*x[62]+2*x[63]+x[65]-3*x[67]-5*x[68]-3*x[69]+5*x[70]+10*x[71]+2*x[72]-5*x[73]+5*x[74]-7*x[75]+2*x[76]+4*x[77]+3*x[78]+11*x[79]-6*x[80]-4*x[81]-10*x[82]+13*x[83]+10*x[84]-6*x[85]+9*x[86]+x[87]-3*x[88]-11*x[89]+5*x[90]-x[91]+8*x[92]+8*x[93]+8*x[94]+x[95]-x[96]-6*x[97]-5*x[98]+3*x[100]+3*x[101]+2*x[102]-2*x[103]+x[106]-x[107])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]-2*x[60]-x[62]-x[63]+4*x[67]+5*x[68]+2*x[69]-2*x[70]-5*x[71]-x[72]+6*x[73]-4*x[74]+8*x[75]-x[76]-3*x[77]-2*x[78]-6*x[79]+7*x[80]+6*x[81]+12*x[82]-8*x[83]-7*x[84]+5*x[85]-6*x[86]-x[87]+3*x[88]+16*x[89]-4*x[90]+3*x[91]-7*x[92]-5*x[93]-7*x[94]-2*x[95]+3*x[96]+10*x[97]+7*x[98]-4*x[100]-3*x[101]-2*x[102]+4*x[103]-x[106]+x[107])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]-x[67]-2*x[68]-x[69]+3*x[70]+6*x[71]+x[72]-2*x[73]+3*x[74]-2*x[75]+2*x[76]+4*x[77]+3*x[78]+7*x[79]-3*x[80]-3*x[81]-7*x[82]+9*x[83]+9*x[84]-4*x[85]+8*x[86]+x[87]-2*x[88]-10*x[89]+6*x[90]-3*x[91]+10*x[92]+7*x[93]+8*x[94]+2*x[95]-2*x[96]-7*x[97]-6*x[98]-x[99]+6*x[100]+7*x[101]+2*x[102]-4*x[103]+2*x[106]-2*x[107])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]-x[71]+3*x[73]-2*x[74]+4*x[75]-2*x[77]-x[78]-2*x[79]+4*x[80]+4*x[81]+8*x[82]-4*x[83]-4*x[84]+3*x[85]-3*x[86]+2*x[88]+13*x[89]-3*x[90]+4*x[91]-7*x[92]-4*x[93]-5*x[94]-2*x[95]+4*x[96]+10*x[97]+7*x[98]+x[99]-5*x[100]-5*x[101]-2*x[102]+7*x[103]-2*x[106]+2*x[107]+x[108]-x[109])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]-x[73]+2*x[74]+3*x[77]+2*x[78]+4*x[79]-x[80]-2*x[82]+5*x[83]+5*x[84]-2*x[85]+5*x[86]+x[87]-x[88]-5*x[89]+4*x[90]-2*x[91]+9*x[92]+6*x[93]+6*x[94]+x[95]-3*x[96]-6*x[97]-4*x[98]-x[99]+6*x[100]+7*x[101]+3*x[102]-5*x[103]+x[104]+x[105]+4*x[106]-2*x[107]-x[108]+x[109])*q^16 + (x[67]+x[68]+x[73]+2*x[75]-x[78]+2*x[80]+2*x[81]+3*x[82]-x[83]-2*x[84]+3*x[85]+x[88]+8*x[89]-x[90]+3*x[91]-4*x[92]-2*x[93]-2*x[94]-x[95]+4*x[96]+8*x[97]+5*x[98]-4*x[100]-4*x[101]-2*x[102]+7*x[103]-x[104]-x[105]-2*x[106]+2*x[107]+3*x[108]-x[109])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]-x[85]+2*x[86]-x[89]+3*x[90]+6*x[92]+3*x[93]+3*x[94]+x[95]-x[96]-3*x[97]-2*x[98]+6*x[100]+6*x[101]+2*x[102]-4*x[103]+x[104]+2*x[105]+3*x[106]-2*x[107]-2*x[108]+x[110])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]-x[92]-x[94]+3*x[96]+5*x[97]+3*x[98]-3*x[100]-x[101]-x[102]+6*x[103]-2*x[105]-2*x[106]+2*x[107]+3*x[108]-x[110])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]-x[98]+4*x[100]+3*x[101]+2*x[102]-2*x[103]+x[104]+3*x[105]+3*x[106]-x[107]-2*x[108]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]-x[100]+4*x[103]-x[105]-x[106]+2*x[107]+3*x[108]-x[110])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]-x[107]-x[108]+x[109]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]-x[109]-x[110]+x[111])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110]-x[111])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #21 : A3+A2+A1 dim = 182 A(O) = 1 , |A(O)_0| = 1 g_s = 5*V[6]+6*V[5]+10*V[4]+14*V[3]+15*V[2]+10*V[1]+6*V[0] Z_G(x)_0 = 2*A1 # Green Polys by orbit reps #21.1 : x[30] : A3+A2+A1,[1] : phi[1400,29] Qxi[E8,21,1] = (x[30])*q^29 + (x[31]+x[32]+x[39]+x[44])*q^28 + (x[35]+x[40]+2*x[41]+2*x[45]+x[51]+x[57])*q^27 + (x[34]+x[36]+x[39]+x[42]+2*x[43]+2*x[44]+x[50]+3*x[53]+x[54]+2*x[55]+x[60]+2*x[61]+x[62]+x[63]+x[70])*q^26 + (x[37]+x[40]+2*x[41]+2*x[45]+2*x[47]+3*x[51]+3*x[52]+5*x[57]+3*x[58]+2*x[67]+2*x[68]+3*x[75]+x[80])*q^25 + (x[39]+2*x[42]+2*x[43]+x[44]+x[46]+x[49]+x[50]+4*x[53]+3*x[54]+4*x[55]+x[56]+3*x[60]+4*x[61]+3*x[62]+3*x[63]+x[65]+4*x[70]+4*x[71]+2*x[76]+x[77]+4*x[79]+2*x[83]+x[86])*q^24 + (x[41]+2*x[45]+2*x[47]+x[48]+2*x[51]+x[52]+7*x[57]+3*x[58]+6*x[67]+5*x[68]+x[69]+2*x[73]+8*x[75]+4*x[80]+3*x[81]+4*x[82]+x[88]+2*x[89])*q^23 + (x[42]+x[43]+x[44]+x[49]+4*x[53]+x[54]+2*x[55]+5*x[60]+4*x[61]+4*x[62]+2*x[63]+x[64]+6*x[70]+8*x[71]+2*x[72]+2*x[74]+2*x[76]+2*x[77]+8*x[79]+5*x[83]+3*x[84]+6*x[86]+x[87]+2*x[90]+x[92]+x[93]+x[94])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+6*x[67]+6*x[68]+2*x[69]+3*x[73]+9*x[75]+6*x[80]+5*x[81]+8*x[82]+x[85]+x[88]+8*x[89]+2*x[91]+2*x[97]+x[98])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+7*x[71]+2*x[72]+2*x[74]+2*x[76]+4*x[77]+x[78]+8*x[79]+9*x[83]+5*x[84]+7*x[86]+x[87]+4*x[90]+4*x[92]+5*x[93]+3*x[94]+2*x[101]+x[102])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+5*x[73]+7*x[75]+6*x[80]+5*x[81]+7*x[82]+2*x[85]+3*x[88]+11*x[89]+2*x[91]+3*x[96]+6*x[97]+2*x[98]+x[103])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+2*x[78]+6*x[79]+7*x[83]+6*x[84]+6*x[86]+x[87]+5*x[90]+6*x[92]+5*x[93]+4*x[94]+x[95]+2*x[100]+5*x[101]+2*x[102])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+2*x[85]+x[88]+10*x[89]+3*x[91]+3*x[96]+6*x[97]+4*x[98]+4*x[103]+x[107])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+7*x[92]+4*x[93]+5*x[94]+3*x[100]+5*x[101]+x[102]+x[104]+x[105]+2*x[106])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+4*x[98]+5*x[103]+x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+4*x[100]+5*x[101]+2*x[102]+x[104]+x[105]+2*x[106])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+2*x[107]+2*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #21.1 : c = () |O_x_c^F| = q^58*(q^2+1)*(q^4+1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,21,1] = (x[30])*q^29 + (x[31]+x[32]+x[39]+x[44])*q^28 + (x[35]+x[40]+2*x[41]+2*x[45]+x[51]+x[57])*q^27 + (x[34]+x[36]+x[39]+x[42]+2*x[43]+2*x[44]+x[50]+3*x[53]+x[54]+2*x[55]+x[60]+2*x[61]+x[62]+x[63]+x[70])*q^26 + (x[37]+x[40]+2*x[41]+2*x[45]+2*x[47]+3*x[51]+3*x[52]+5*x[57]+3*x[58]+2*x[67]+2*x[68]+3*x[75]+x[80])*q^25 + (x[39]+2*x[42]+2*x[43]+x[44]+x[46]+x[49]+x[50]+4*x[53]+3*x[54]+4*x[55]+x[56]+3*x[60]+4*x[61]+3*x[62]+3*x[63]+x[65]+4*x[70]+4*x[71]+2*x[76]+x[77]+4*x[79]+2*x[83]+x[86])*q^24 + (x[41]+2*x[45]+2*x[47]+x[48]+2*x[51]+x[52]+7*x[57]+3*x[58]+6*x[67]+5*x[68]+x[69]+2*x[73]+8*x[75]+4*x[80]+3*x[81]+4*x[82]+x[88]+2*x[89])*q^23 + (x[42]+x[43]+x[44]+x[49]+4*x[53]+x[54]+2*x[55]+5*x[60]+4*x[61]+4*x[62]+2*x[63]+x[64]+6*x[70]+8*x[71]+2*x[72]+2*x[74]+2*x[76]+2*x[77]+8*x[79]+5*x[83]+3*x[84]+6*x[86]+x[87]+2*x[90]+x[92]+x[93]+x[94])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+6*x[67]+6*x[68]+2*x[69]+3*x[73]+9*x[75]+6*x[80]+5*x[81]+8*x[82]+x[85]+x[88]+8*x[89]+2*x[91]+2*x[97]+x[98])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+7*x[71]+2*x[72]+2*x[74]+2*x[76]+4*x[77]+x[78]+8*x[79]+9*x[83]+5*x[84]+7*x[86]+x[87]+4*x[90]+4*x[92]+5*x[93]+3*x[94]+2*x[101]+x[102])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+5*x[73]+7*x[75]+6*x[80]+5*x[81]+7*x[82]+2*x[85]+3*x[88]+11*x[89]+2*x[91]+3*x[96]+6*x[97]+2*x[98]+x[103])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+2*x[78]+6*x[79]+7*x[83]+6*x[84]+6*x[86]+x[87]+5*x[90]+6*x[92]+5*x[93]+4*x[94]+x[95]+2*x[100]+5*x[101]+2*x[102])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+2*x[85]+x[88]+10*x[89]+3*x[91]+3*x[96]+6*x[97]+4*x[98]+4*x[103]+x[107])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+7*x[92]+4*x[93]+5*x[94]+3*x[100]+5*x[101]+x[102]+x[104]+x[105]+2*x[106])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+4*x[98]+5*x[103]+x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+4*x[100]+5*x[101]+2*x[102]+x[104]+x[105]+2*x[106])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+2*x[107]+2*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #22 : D4+A1 dim = 184 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+6*V[7]+14*V[6]+6*V[5]+2*V[2]+14*V[1]+21*V[0] Z_G(x)_0 = C3 # Green Polys by orbit reps #22.1 : x[31] : D4+A1,[1] : phi[700,28] Qxi[E8,22,1] = (x[31])*q^28 + (x[45])*q^27 + (x[43]+x[53]+x[60])*q^26 + (x[37]+x[45]+x[52]+x[57]+x[58]+x[68]+x[75])*q^25 + (x[43]+x[46]+x[49]+x[53]+x[54]+x[55]+x[56]+2*x[60]+x[61]+x[62]+x[63]+x[65]+x[71]+x[76]+x[77]+x[79]+x[83])*q^24 + (x[45]+x[47]+x[48]+x[52]+2*x[57]+2*x[58]+x[67]+3*x[68]+x[73]+3*x[75]+x[80]+2*x[82]+x[88]+x[89])*q^23 + (x[43]+x[49]+2*x[53]+3*x[60]+2*x[61]+3*x[62]+x[63]+x[64]+x[70]+4*x[71]+2*x[74]+2*x[76]+x[77]+3*x[79]+3*x[83]+2*x[84]+2*x[86]+x[90]+x[92])*q^22 + (x[45]+x[47]+x[48]+2*x[57]+2*x[58]+3*x[67]+5*x[68]+2*x[69]+2*x[73]+5*x[75]+2*x[80]+x[81]+6*x[82]+x[85]+x[88]+4*x[89]+x[91]+x[97]+x[98])*q^21 + (x[49]+x[53]+x[54]+x[55]+x[56]+3*x[60]+2*x[61]+3*x[62]+2*x[63]+x[64]+x[65]+x[70]+5*x[71]+x[72]+3*x[74]+x[76]+3*x[77]+x[78]+5*x[79]+7*x[83]+4*x[84]+4*x[86]+x[90]+3*x[92]+2*x[93]+3*x[94]+x[101]+x[102])*q^20 + (x[52]+2*x[57]+3*x[58]+x[59]+2*x[67]+5*x[68]+2*x[69]+5*x[73]+5*x[75]+4*x[80]+2*x[81]+7*x[82]+3*x[85]+3*x[88]+8*x[89]+x[91]+x[96]+5*x[97]+2*x[98]+x[103])*q^19 + (x[53]+x[55]+x[56]+2*x[60]+x[62]+2*x[63]+x[64]+x[65]+2*x[70]+6*x[71]+3*x[74]+2*x[76]+2*x[77]+2*x[78]+5*x[79]+9*x[83]+7*x[84]+4*x[86]+3*x[90]+5*x[92]+4*x[93]+4*x[94]+2*x[95]+2*x[100]+4*x[101]+2*x[102])*q^18 + (x[57]+x[58]+2*x[67]+3*x[68]+2*x[69]+4*x[73]+4*x[75]+4*x[80]+2*x[81]+8*x[82]+4*x[85]+3*x[88]+10*x[89]+2*x[91]+2*x[96]+7*x[97]+5*x[98]+3*x[103]+x[107])*q^17 + (x[60]+x[61]+x[62]+x[70]+3*x[71]+x[72]+4*x[74]+3*x[77]+x[78]+5*x[79]+6*x[83]+6*x[84]+5*x[86]+2*x[90]+8*x[92]+5*x[93]+7*x[94]+x[95]+4*x[100]+4*x[101]+2*x[102]+x[104]+x[105]+2*x[106])*q^16 + (2*x[67]+2*x[68]+x[69]+x[73]+2*x[75]+2*x[80]+2*x[81]+6*x[82]+4*x[85]+x[88]+9*x[89]+3*x[91]+2*x[96]+7*x[97]+7*x[98]+6*x[103]+x[107]+x[108])*q^15 + (x[70]+2*x[71]+x[74]+x[76]+x[77]+x[78]+2*x[79]+4*x[83]+5*x[84]+3*x[86]+3*x[90]+7*x[92]+3*x[93]+5*x[94]+2*x[95]+6*x[100]+6*x[101]+2*x[102]+x[105]+3*x[106])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+2*x[82]+2*x[85]+2*x[88]+6*x[89]+x[91]+3*x[96]+7*x[97]+4*x[98]+x[99]+6*x[103]+3*x[107]+2*x[108])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[87]+2*x[90]+4*x[92]+4*x[93]+3*x[94]+x[95]+5*x[100]+4*x[101]+4*x[102]+x[104]+2*x[105]+3*x[106]+x[109]+x[110])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+4*x[97]+3*x[98]+5*x[103]+3*x[107]+3*x[108])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+4*x[100]+3*x[101]+2*x[105]+3*x[106]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+3*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #22.1 : c = () |O_x_c^F| = q^68*(q^4+1)*(q^6+1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,22,1] = (x[31])*q^28 + (x[45])*q^27 + (x[43]+x[53]+x[60])*q^26 + (x[37]+x[45]+x[52]+x[57]+x[58]+x[68]+x[75])*q^25 + (x[43]+x[46]+x[49]+x[53]+x[54]+x[55]+x[56]+2*x[60]+x[61]+x[62]+x[63]+x[65]+x[71]+x[76]+x[77]+x[79]+x[83])*q^24 + (x[45]+x[47]+x[48]+x[52]+2*x[57]+2*x[58]+x[67]+3*x[68]+x[73]+3*x[75]+x[80]+2*x[82]+x[88]+x[89])*q^23 + (x[43]+x[49]+2*x[53]+3*x[60]+2*x[61]+3*x[62]+x[63]+x[64]+x[70]+4*x[71]+2*x[74]+2*x[76]+x[77]+3*x[79]+3*x[83]+2*x[84]+2*x[86]+x[90]+x[92])*q^22 + (x[45]+x[47]+x[48]+2*x[57]+2*x[58]+3*x[67]+5*x[68]+2*x[69]+2*x[73]+5*x[75]+2*x[80]+x[81]+6*x[82]+x[85]+x[88]+4*x[89]+x[91]+x[97]+x[98])*q^21 + (x[49]+x[53]+x[54]+x[55]+x[56]+3*x[60]+2*x[61]+3*x[62]+2*x[63]+x[64]+x[65]+x[70]+5*x[71]+x[72]+3*x[74]+x[76]+3*x[77]+x[78]+5*x[79]+7*x[83]+4*x[84]+4*x[86]+x[90]+3*x[92]+2*x[93]+3*x[94]+x[101]+x[102])*q^20 + (x[52]+2*x[57]+3*x[58]+x[59]+2*x[67]+5*x[68]+2*x[69]+5*x[73]+5*x[75]+4*x[80]+2*x[81]+7*x[82]+3*x[85]+3*x[88]+8*x[89]+x[91]+x[96]+5*x[97]+2*x[98]+x[103])*q^19 + (x[53]+x[55]+x[56]+2*x[60]+x[62]+2*x[63]+x[64]+x[65]+2*x[70]+6*x[71]+3*x[74]+2*x[76]+2*x[77]+2*x[78]+5*x[79]+9*x[83]+7*x[84]+4*x[86]+3*x[90]+5*x[92]+4*x[93]+4*x[94]+2*x[95]+2*x[100]+4*x[101]+2*x[102])*q^18 + (x[57]+x[58]+2*x[67]+3*x[68]+2*x[69]+4*x[73]+4*x[75]+4*x[80]+2*x[81]+8*x[82]+4*x[85]+3*x[88]+10*x[89]+2*x[91]+2*x[96]+7*x[97]+5*x[98]+3*x[103]+x[107])*q^17 + (x[60]+x[61]+x[62]+x[70]+3*x[71]+x[72]+4*x[74]+3*x[77]+x[78]+5*x[79]+6*x[83]+6*x[84]+5*x[86]+2*x[90]+8*x[92]+5*x[93]+7*x[94]+x[95]+4*x[100]+4*x[101]+2*x[102]+x[104]+x[105]+2*x[106])*q^16 + (2*x[67]+2*x[68]+x[69]+x[73]+2*x[75]+2*x[80]+2*x[81]+6*x[82]+4*x[85]+x[88]+9*x[89]+3*x[91]+2*x[96]+7*x[97]+7*x[98]+6*x[103]+x[107]+x[108])*q^15 + (x[70]+2*x[71]+x[74]+x[76]+x[77]+x[78]+2*x[79]+4*x[83]+5*x[84]+3*x[86]+3*x[90]+7*x[92]+3*x[93]+5*x[94]+2*x[95]+6*x[100]+6*x[101]+2*x[102]+x[105]+3*x[106])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+2*x[82]+2*x[85]+2*x[88]+6*x[89]+x[91]+3*x[96]+7*x[97]+4*x[98]+x[99]+6*x[103]+3*x[107]+2*x[108])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[87]+2*x[90]+4*x[92]+4*x[93]+3*x[94]+x[95]+5*x[100]+4*x[101]+4*x[102]+x[104]+2*x[105]+3*x[106]+x[109]+x[110])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+4*x[97]+3*x[98]+5*x[103]+3*x[107]+3*x[108])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+4*x[100]+3*x[101]+2*x[105]+3*x[106]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+3*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #23 : D4(a1)+A2 dim = 184 A(O) = S2 , |A(O)_0| = 2 g_s = 8*V[6]+20*V[4]+28*V[2]+8*V[0] Z_G(x)_0 = A2 # Green Polys by orbit reps #23.1 : x[32] : D4(a1)+A2,[2] : phi[2240,28] Qxi[E8,23,1] = (x[32])*q^28 + (x[35]+x[41]+x[45])*q^27 + (x[34]+x[36]+x[39]+x[42]+x[43]+x[44]+x[53]+x[55]+x[61]+x[62])*q^26 + (x[37]+x[40]+2*x[41]+x[45]+2*x[47]+x[51]+2*x[52]+3*x[57]+2*x[58]+x[67]+x[68]+x[75])*q^25 + (x[39]+2*x[42]+2*x[43]+x[44]+x[46]+x[49]+x[50]+3*x[53]+2*x[54]+3*x[55]+x[56]+x[60]+3*x[61]+2*x[62]+3*x[63]+x[65]+2*x[70]+3*x[71]+x[76]+2*x[79]+x[83])*q^24 + (x[41]+2*x[45]+2*x[47]+x[48]+2*x[51]+x[52]+6*x[57]+3*x[58]+5*x[67]+4*x[68]+x[69]+2*x[73]+5*x[75]+3*x[80]+x[81]+2*x[82]+x[88]+x[89])*q^23 + (x[42]+x[43]+x[44]+x[49]+4*x[53]+x[54]+2*x[55]+4*x[60]+4*x[61]+4*x[62]+2*x[63]+x[64]+5*x[70]+7*x[71]+2*x[72]+2*x[74]+x[76]+x[77]+6*x[79]+4*x[83]+2*x[84]+4*x[86]+x[90]+x[93]+x[94])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+6*x[67]+6*x[68]+2*x[69]+3*x[73]+8*x[75]+5*x[80]+4*x[81]+7*x[82]+x[85]+6*x[89]+x[91]+x[97]+x[98])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+7*x[71]+2*x[72]+2*x[74]+2*x[76]+3*x[77]+x[78]+8*x[79]+8*x[83]+5*x[84]+6*x[86]+x[87]+3*x[90]+3*x[92]+4*x[93]+3*x[94]+x[101])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+5*x[73]+7*x[75]+6*x[80]+5*x[81]+7*x[82]+2*x[85]+3*x[88]+10*x[89]+x[91]+2*x[96]+5*x[97]+2*x[98]+x[103])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+2*x[78]+6*x[79]+7*x[83]+6*x[84]+6*x[86]+x[87]+5*x[90]+5*x[92]+5*x[93]+4*x[94]+x[95]+2*x[100]+4*x[101]+2*x[102])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+2*x[85]+x[88]+10*x[89]+3*x[91]+3*x[96]+6*x[97]+4*x[98]+3*x[103]+x[107])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+7*x[92]+4*x[93]+5*x[94]+3*x[100]+5*x[101]+x[102]+x[104]+2*x[106])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+4*x[98]+5*x[103]+x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+4*x[100]+5*x[101]+2*x[102]+x[104]+x[105]+2*x[106])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+2*x[107]+2*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #23.2 : x[33] : D4(a1)+A2,[1, 1] : phi[840,31] Qxi[E8,23,2] = (x[33])*q^28 + (x[34]+x[36]+x[56])*q^27 + (x[35]+x[41]+x[47]+x[52]+x[58])*q^26 + (x[38]+x[39]+2*x[42]+x[43]+x[53]+x[55]+x[61]+2*x[62]+x[71])*q^25 + (x[41]+x[45]+2*x[47]+x[48]+3*x[57]+x[58]+3*x[67]+x[68]+2*x[69]+x[75]+x[82])*q^24 + (x[42]+x[43]+x[49]+2*x[53]+x[54]+x[55]+x[56]+x[60]+2*x[61]+2*x[62]+2*x[63]+x[64]+2*x[70]+4*x[71]+x[72]+x[74]+2*x[79]+x[83]+x[86]+x[94])*q^23 + (x[47]+x[51]+x[52]+2*x[57]+3*x[58]+x[59]+3*x[67]+3*x[68]+x[69]+3*x[73]+3*x[75]+4*x[80]+x[81]+2*x[82]+x[85]+x[88]+2*x[89])*q^22 + (x[49]+x[53]+x[54]+x[55]+x[56]+x[60]+x[61]+x[62]+x[63]+x[64]+x[65]+2*x[70]+5*x[71]+x[72]+x[74]+x[76]+x[77]+x[78]+3*x[79]+5*x[83]+2*x[84]+2*x[86]+2*x[90]+3*x[93]+x[94]+x[95])*q^21 + (x[57]+x[58]+2*x[67]+2*x[68]+2*x[69]+3*x[73]+3*x[75]+3*x[80]+2*x[81]+4*x[82]+2*x[85]+x[88]+5*x[89]+x[96]+2*x[97]+x[98])*q^20 + (x[60]+x[62]+x[70]+3*x[71]+x[72]+2*x[74]+x[77]+x[78]+3*x[79]+3*x[83]+3*x[84]+3*x[86]+x[87]+2*x[90]+3*x[92]+2*x[93]+4*x[94]+x[100]+x[101])*q^19 + (x[67]+x[68]+x[69]+x[73]+x[75]+x[80]+2*x[81]+4*x[82]+2*x[85]+5*x[89]+x[91]+x[96]+2*x[97]+3*x[98]+2*x[103])*q^18 + (x[71]+x[74]+x[77]+x[78]+x[79]+2*x[83]+2*x[84]+2*x[86]+2*x[90]+3*x[92]+2*x[93]+3*x[94]+x[95]+2*x[100]+2*x[101]+x[106])*q^17 + (x[73]+x[80]+x[82]+x[85]+x[88]+3*x[89]+x[91]+2*x[96]+3*x[97]+2*x[98]+x[99]+2*x[103]+x[107])*q^16 + (x[78]+x[83]+x[84]+x[90]+2*x[92]+2*x[93]+x[94]+x[95]+2*x[100]+2*x[101]+x[102]+x[104]+x[106]+x[109])*q^15 + (x[85]+x[89]+x[96]+2*x[97]+x[98]+2*x[103]+x[107]+x[108])*q^14 + (x[92]+x[94]+2*x[100]+x[101]+x[105]+x[106])*q^13 + (x[98]+2*x[103]+x[108])*q^12 + (x[100]+x[105]+x[106])*q^11 + (x[107]+x[108])*q^10 + (x[109]+x[110])*q^9 + (x[111])*q^8 # Green Polys by conj class in A(O) #23.1 : c = () |O_x_c^F| = 1/2*q^61*(q^3+1)*(q^6+1)*(q^8-1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,23,1] = (x[32]+x[33])*q^28 + (x[34]+x[35]+x[36]+x[41]+x[45]+x[56])*q^27 + (x[34]+x[35]+x[36]+x[39]+x[41]+x[42]+x[43]+x[44]+x[47]+x[52]+x[53]+x[55]+x[58]+x[61]+x[62])*q^26 + (x[37]+x[38]+x[39]+x[40]+2*x[41]+2*x[42]+x[43]+x[45]+2*x[47]+x[51]+2*x[52]+x[53]+x[55]+3*x[57]+2*x[58]+x[61]+2*x[62]+x[67]+x[68]+x[71]+x[75])*q^25 + (x[39]+x[41]+2*x[42]+2*x[43]+x[44]+x[45]+x[46]+2*x[47]+x[48]+x[49]+x[50]+3*x[53]+2*x[54]+3*x[55]+x[56]+3*x[57]+x[58]+x[60]+3*x[61]+2*x[62]+3*x[63]+x[65]+3*x[67]+x[68]+2*x[69]+2*x[70]+3*x[71]+x[75]+x[76]+2*x[79]+x[82]+x[83])*q^24 + (x[41]+x[42]+x[43]+2*x[45]+2*x[47]+x[48]+x[49]+2*x[51]+x[52]+2*x[53]+x[54]+x[55]+x[56]+6*x[57]+3*x[58]+x[60]+2*x[61]+2*x[62]+2*x[63]+x[64]+5*x[67]+4*x[68]+x[69]+2*x[70]+4*x[71]+x[72]+2*x[73]+x[74]+5*x[75]+2*x[79]+3*x[80]+x[81]+2*x[82]+x[83]+x[86]+x[88]+x[89]+x[94])*q^23 + (x[42]+x[43]+x[44]+x[47]+x[49]+x[51]+x[52]+4*x[53]+x[54]+2*x[55]+2*x[57]+3*x[58]+x[59]+4*x[60]+4*x[61]+4*x[62]+2*x[63]+x[64]+3*x[67]+3*x[68]+x[69]+5*x[70]+7*x[71]+2*x[72]+3*x[73]+2*x[74]+3*x[75]+x[76]+x[77]+6*x[79]+4*x[80]+x[81]+2*x[82]+4*x[83]+2*x[84]+x[85]+4*x[86]+x[88]+2*x[89]+x[90]+x[93]+x[94])*q^22 + (x[45]+x[47]+x[49]+2*x[51]+x[52]+x[53]+x[54]+x[55]+x[56]+4*x[57]+3*x[58]+x[60]+x[61]+x[62]+x[63]+x[64]+x[65]+6*x[67]+6*x[68]+2*x[69]+2*x[70]+5*x[71]+x[72]+3*x[73]+x[74]+8*x[75]+x[76]+x[77]+x[78]+3*x[79]+5*x[80]+4*x[81]+7*x[82]+5*x[83]+2*x[84]+x[85]+2*x[86]+6*x[89]+2*x[90]+x[91]+3*x[93]+x[94]+x[95]+x[97]+x[98])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+x[57]+x[58]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+2*x[67]+2*x[68]+2*x[69]+4*x[70]+7*x[71]+2*x[72]+3*x[73]+2*x[74]+3*x[75]+2*x[76]+3*x[77]+x[78]+8*x[79]+3*x[80]+2*x[81]+4*x[82]+8*x[83]+5*x[84]+2*x[85]+6*x[86]+x[87]+x[88]+5*x[89]+3*x[90]+3*x[92]+4*x[93]+3*x[94]+x[96]+2*x[97]+x[98]+x[101])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+x[60]+x[62]+3*x[67]+4*x[68]+x[69]+x[70]+3*x[71]+x[72]+5*x[73]+2*x[74]+7*x[75]+x[77]+x[78]+3*x[79]+6*x[80]+5*x[81]+7*x[82]+3*x[83]+3*x[84]+2*x[85]+3*x[86]+x[87]+3*x[88]+10*x[89]+2*x[90]+x[91]+3*x[92]+2*x[93]+4*x[94]+2*x[96]+5*x[97]+2*x[98]+x[100]+x[101]+x[103])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+x[67]+x[68]+x[69]+3*x[70]+5*x[71]+x[72]+x[73]+2*x[74]+x[75]+2*x[76]+3*x[77]+2*x[78]+6*x[79]+x[80]+2*x[81]+4*x[82]+7*x[83]+6*x[84]+2*x[85]+6*x[86]+x[87]+5*x[89]+5*x[90]+x[91]+5*x[92]+5*x[93]+4*x[94]+x[95]+x[96]+2*x[97]+3*x[98]+2*x[100]+4*x[101]+2*x[102]+2*x[103])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+x[71]+2*x[73]+x[74]+4*x[75]+x[77]+x[78]+x[79]+3*x[80]+4*x[81]+7*x[82]+2*x[83]+2*x[84]+2*x[85]+2*x[86]+x[88]+10*x[89]+2*x[90]+3*x[91]+3*x[92]+2*x[93]+3*x[94]+x[95]+3*x[96]+6*x[97]+4*x[98]+2*x[100]+2*x[101]+3*x[103]+x[106]+x[107])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+x[73]+2*x[74]+3*x[77]+x[78]+4*x[79]+x[80]+x[82]+4*x[83]+4*x[84]+x[85]+5*x[86]+x[87]+x[88]+3*x[89]+3*x[90]+x[91]+7*x[92]+4*x[93]+5*x[94]+2*x[96]+3*x[97]+2*x[98]+x[99]+3*x[100]+5*x[101]+x[102]+2*x[103]+x[104]+2*x[106]+x[107])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+x[78]+2*x[80]+2*x[81]+3*x[82]+x[83]+x[84]+2*x[85]+x[88]+7*x[89]+x[90]+3*x[91]+2*x[92]+2*x[93]+x[94]+x[95]+3*x[96]+6*x[97]+4*x[98]+2*x[100]+2*x[101]+x[102]+5*x[103]+x[104]+x[106]+x[108]+x[109])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+x[85]+2*x[86]+x[89]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+x[96]+2*x[97]+x[98]+4*x[100]+5*x[101]+2*x[102]+2*x[103]+x[104]+x[105]+2*x[106]+x[107]+x[108])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+x[92]+x[94]+3*x[96]+5*x[97]+2*x[98]+2*x[100]+x[101]+4*x[103]+x[105]+x[106]+2*x[107]+2*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+x[98]+3*x[100]+3*x[101]+2*x[102]+2*x[103]+x[104]+2*x[105]+2*x[106]+x[108]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+x[100]+4*x[103]+x[105]+x[106]+x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[107]+x[108]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]+x[109]+x[110])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110]+x[111])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #23.2 : c = (1) |O_x_c^F| = 1/2*q^61*(q^3-1)*(q^6+1)*(q^8-1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,23,2] = (x[32]-x[33])*q^28 + (-x[34]+x[35]-x[36]+x[41]+x[45]-x[56])*q^27 + (x[34]-x[35]+x[36]+x[39]-x[41]+x[42]+x[43]+x[44]-x[47]-x[52]+x[53]+x[55]-x[58]+x[61]+x[62])*q^26 + (x[37]-x[38]-x[39]+x[40]+2*x[41]-2*x[42]-x[43]+x[45]+2*x[47]+x[51]+2*x[52]-x[53]-x[55]+3*x[57]+2*x[58]-x[61]-2*x[62]+x[67]+x[68]-x[71]+x[75])*q^25 + (x[39]-x[41]+2*x[42]+2*x[43]+x[44]-x[45]+x[46]-2*x[47]-x[48]+x[49]+x[50]+3*x[53]+2*x[54]+3*x[55]+x[56]-3*x[57]-x[58]+x[60]+3*x[61]+2*x[62]+3*x[63]+x[65]-3*x[67]-x[68]-2*x[69]+2*x[70]+3*x[71]-x[75]+x[76]+2*x[79]-x[82]+x[83])*q^24 + (x[41]-x[42]-x[43]+2*x[45]+2*x[47]+x[48]-x[49]+2*x[51]+x[52]-2*x[53]-x[54]-x[55]-x[56]+6*x[57]+3*x[58]-x[60]-2*x[61]-2*x[62]-2*x[63]-x[64]+5*x[67]+4*x[68]+x[69]-2*x[70]-4*x[71]-x[72]+2*x[73]-x[74]+5*x[75]-2*x[79]+3*x[80]+x[81]+2*x[82]-x[83]-x[86]+x[88]+x[89]-x[94])*q^23 + (x[42]+x[43]+x[44]-x[47]+x[49]-x[51]-x[52]+4*x[53]+x[54]+2*x[55]-2*x[57]-3*x[58]-x[59]+4*x[60]+4*x[61]+4*x[62]+2*x[63]+x[64]-3*x[67]-3*x[68]-x[69]+5*x[70]+7*x[71]+2*x[72]-3*x[73]+2*x[74]-3*x[75]+x[76]+x[77]+6*x[79]-4*x[80]-x[81]-2*x[82]+4*x[83]+2*x[84]-x[85]+4*x[86]-x[88]-2*x[89]+x[90]+x[93]+x[94])*q^22 + (x[45]+x[47]-x[49]+2*x[51]+x[52]-x[53]-x[54]-x[55]-x[56]+4*x[57]+3*x[58]-x[60]-x[61]-x[62]-x[63]-x[64]-x[65]+6*x[67]+6*x[68]+2*x[69]-2*x[70]-5*x[71]-x[72]+3*x[73]-x[74]+8*x[75]-x[76]-x[77]-x[78]-3*x[79]+5*x[80]+4*x[81]+7*x[82]-5*x[83]-2*x[84]+x[85]-2*x[86]+6*x[89]-2*x[90]+x[91]-3*x[93]-x[94]-x[95]+x[97]+x[98])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]-x[57]-x[58]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]-2*x[67]-2*x[68]-2*x[69]+4*x[70]+7*x[71]+2*x[72]-3*x[73]+2*x[74]-3*x[75]+2*x[76]+3*x[77]+x[78]+8*x[79]-3*x[80]-2*x[81]-4*x[82]+8*x[83]+5*x[84]-2*x[85]+6*x[86]+x[87]-x[88]-5*x[89]+3*x[90]+3*x[92]+4*x[93]+3*x[94]-x[96]-2*x[97]-x[98]+x[101])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]-x[60]-x[62]+3*x[67]+4*x[68]+x[69]-x[70]-3*x[71]-x[72]+5*x[73]-2*x[74]+7*x[75]-x[77]-x[78]-3*x[79]+6*x[80]+5*x[81]+7*x[82]-3*x[83]-3*x[84]+2*x[85]-3*x[86]-x[87]+3*x[88]+10*x[89]-2*x[90]+x[91]-3*x[92]-2*x[93]-4*x[94]+2*x[96]+5*x[97]+2*x[98]-x[100]-x[101]+x[103])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]-x[67]-x[68]-x[69]+3*x[70]+5*x[71]+x[72]-x[73]+2*x[74]-x[75]+2*x[76]+3*x[77]+2*x[78]+6*x[79]-x[80]-2*x[81]-4*x[82]+7*x[83]+6*x[84]-2*x[85]+6*x[86]+x[87]-5*x[89]+5*x[90]-x[91]+5*x[92]+5*x[93]+4*x[94]+x[95]-x[96]-2*x[97]-3*x[98]+2*x[100]+4*x[101]+2*x[102]-2*x[103])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]-x[71]+2*x[73]-x[74]+4*x[75]-x[77]-x[78]-x[79]+3*x[80]+4*x[81]+7*x[82]-2*x[83]-2*x[84]+2*x[85]-2*x[86]+x[88]+10*x[89]-2*x[90]+3*x[91]-3*x[92]-2*x[93]-3*x[94]-x[95]+3*x[96]+6*x[97]+4*x[98]-2*x[100]-2*x[101]+3*x[103]-x[106]+x[107])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]-x[73]+2*x[74]+3*x[77]+x[78]+4*x[79]-x[80]-x[82]+4*x[83]+4*x[84]-x[85]+5*x[86]+x[87]-x[88]-3*x[89]+3*x[90]-x[91]+7*x[92]+4*x[93]+5*x[94]-2*x[96]-3*x[97]-2*x[98]-x[99]+3*x[100]+5*x[101]+x[102]-2*x[103]+x[104]+2*x[106]-x[107])*q^16 + (x[67]+x[68]+x[73]+2*x[75]-x[78]+2*x[80]+2*x[81]+3*x[82]-x[83]-x[84]+2*x[85]+x[88]+7*x[89]-x[90]+3*x[91]-2*x[92]-2*x[93]-x[94]-x[95]+3*x[96]+6*x[97]+4*x[98]-2*x[100]-2*x[101]-x[102]+5*x[103]-x[104]-x[106]+x[108]-x[109])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]-x[85]+2*x[86]-x[89]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]-x[96]-2*x[97]-x[98]+4*x[100]+5*x[101]+2*x[102]-2*x[103]+x[104]+x[105]+2*x[106]-x[107]-x[108])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]-x[92]-x[94]+3*x[96]+5*x[97]+2*x[98]-2*x[100]-x[101]+4*x[103]-x[105]-x[106]+2*x[107]+2*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]-x[98]+3*x[100]+3*x[101]+2*x[102]-2*x[103]+x[104]+2*x[105]+2*x[106]-x[108]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]-x[100]+4*x[103]-x[105]-x[106]+x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]-x[107]-x[108]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]-x[109]-x[110])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110]-x[111])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #24 : A4+A1 dim = 188 A(O) = S2 , |A(O)_0| = 2 g_s = V[8]+2*V[7]+7*V[6]+8*V[5]+9*V[4]+8*V[3]+8*V[2]+8*V[1]+9*V[0] Z_G(x)_0 = A2+T1 # Green Polys by orbit reps #24.1 : x[34] : A4+A1,[2] : phi[4096,26] Qxi[E8,24,1] = (x[34])*q^26 + (x[37]+x[40]+x[41]+x[47]+x[58])*q^25 + (x[39]+x[42]+2*x[43]+x[44]+x[49]+x[53]+x[54]+x[55]+x[61]+x[62]+2*x[63]+x[65]+x[71])*q^24 + (x[41]+2*x[45]+2*x[47]+x[48]+x[51]+5*x[57]+2*x[58]+2*x[67]+3*x[68]+x[69]+x[73]+x[75]+x[80]+x[82])*q^23 + (x[42]+x[43]+x[44]+x[49]+3*x[53]+x[54]+2*x[55]+4*x[60]+4*x[61]+4*x[62]+2*x[63]+x[64]+3*x[70]+5*x[71]+x[72]+2*x[74]+4*x[79]+2*x[83]+x[84]+x[86]+x[94])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+4*x[57]+3*x[58]+5*x[67]+6*x[68]+2*x[69]+3*x[73]+7*x[75]+4*x[80]+2*x[81]+6*x[82]+x[85]+3*x[89]+x[98])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+4*x[70]+7*x[71]+x[72]+2*x[74]+2*x[76]+2*x[77]+x[78]+7*x[79]+8*x[83]+5*x[84]+5*x[86]+2*x[90]+2*x[92]+3*x[93]+2*x[94])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+4*x[68]+x[69]+5*x[73]+7*x[75]+6*x[80]+4*x[81]+7*x[82]+2*x[85]+3*x[88]+9*x[89]+x[91]+x[96]+5*x[97]+2*x[98])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+2*x[74]+2*x[76]+3*x[77]+2*x[78]+6*x[79]+7*x[83]+6*x[84]+6*x[86]+x[87]+4*x[90]+5*x[92]+5*x[93]+4*x[94]+x[95]+2*x[100]+3*x[101]+2*x[102])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+7*x[82]+2*x[85]+x[88]+10*x[89]+3*x[91]+2*x[96]+6*x[97]+4*x[98]+3*x[103]+x[107])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+7*x[92]+4*x[93]+5*x[94]+3*x[100]+5*x[101]+x[102]+2*x[106])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+6*x[97]+4*x[98]+5*x[103]+x[108])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+4*x[100]+5*x[101]+2*x[102]+x[104]+x[105]+2*x[106])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+2*x[107]+2*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #24.2 : x[35] : A4+A1,[1, 1] : phi[4096,27] Qxi[E8,24,2] = (x[35])*q^26 + (x[38]+x[39]+x[42]+x[43]+x[62])*q^25 + (x[40]+x[41]+x[45]+2*x[47]+x[48]+2*x[57]+x[58]+x[67]+x[68]+x[69])*q^24 + (x[42]+2*x[43]+x[44]+x[49]+2*x[53]+2*x[54]+x[55]+x[56]+x[60]+2*x[61]+2*x[62]+3*x[63]+x[64]+x[70]+3*x[71]+x[74]+x[79]+x[83])*q^23 + (x[45]+x[47]+x[48]+2*x[51]+x[52]+4*x[57]+4*x[58]+x[59]+3*x[67]+4*x[68]+x[69]+3*x[73]+3*x[75]+4*x[80]+2*x[82]+x[85]+x[88]+x[89])*q^22 + (x[49]+2*x[53]+2*x[54]+2*x[55]+x[56]+3*x[60]+2*x[61]+3*x[62]+x[63]+2*x[64]+x[65]+3*x[70]+6*x[71]+x[72]+2*x[74]+x[76]+x[77]+x[78]+5*x[79]+6*x[83]+2*x[84]+2*x[86]+x[90]+2*x[93]+x[94]+x[95])*q^21 + (2*x[57]+2*x[58]+3*x[67]+4*x[68]+3*x[69]+3*x[73]+6*x[75]+4*x[80]+3*x[81]+7*x[82]+3*x[85]+x[88]+6*x[89]+2*x[97]+x[98])*q^20 + (2*x[60]+x[62]+x[63]+2*x[70]+5*x[71]+x[72]+3*x[74]+x[76]+2*x[77]+x[78]+5*x[79]+6*x[83]+5*x[84]+5*x[86]+x[87]+3*x[90]+4*x[92]+2*x[93]+5*x[94]+x[100]+x[101])*q^19 + (x[67]+2*x[68]+x[69]+2*x[73]+2*x[75]+3*x[80]+3*x[81]+6*x[82]+3*x[85]+2*x[88]+8*x[89]+2*x[91]+x[96]+4*x[97]+4*x[98]+2*x[103])*q^18 + (x[71]+2*x[74]+2*x[77]+x[78]+2*x[79]+4*x[83]+3*x[84]+3*x[86]+3*x[90]+5*x[92]+4*x[93]+4*x[94]+2*x[95]+3*x[100]+3*x[101]+2*x[102]+x[106])*q^17 + (x[73]+x[80]+2*x[82]+2*x[85]+x[88]+5*x[89]+2*x[91]+3*x[96]+5*x[97]+3*x[98]+x[99]+3*x[103]+2*x[107])*q^16 + (x[78]+x[83]+2*x[84]+x[90]+4*x[92]+2*x[93]+2*x[94]+x[95]+3*x[100]+4*x[101]+x[102]+x[104]+x[106]+x[109])*q^15 + (x[85]+x[89]+x[96]+3*x[97]+2*x[98]+4*x[103]+x[107]+x[108])*q^14 + (x[92]+x[94]+3*x[100]+x[101]+x[102]+2*x[105]+2*x[106])*q^13 + (x[98]+2*x[103]+x[107]+2*x[108])*q^12 + (x[100]+x[105]+x[106]+x[110])*q^11 + (x[107]+x[108])*q^10 + (x[109]+x[110])*q^9 + (x[111])*q^8 # Green Polys by conj class in A(O) #24.1 : c = () |O_x_c^F| = 1/2*q^66*(q+1)*(q^2+1)*(q^3+1)*(q^4+1)*(q^6+1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,24,1] = (x[34]+x[35])*q^26 + (x[37]+x[38]+x[39]+x[40]+x[41]+x[42]+x[43]+x[47]+x[58]+x[62])*q^25 + (x[39]+x[40]+x[41]+x[42]+2*x[43]+x[44]+x[45]+2*x[47]+x[48]+x[49]+x[53]+x[54]+x[55]+2*x[57]+x[58]+x[61]+x[62]+2*x[63]+x[65]+x[67]+x[68]+x[69]+x[71])*q^24 + (x[41]+x[42]+2*x[43]+x[44]+2*x[45]+2*x[47]+x[48]+x[49]+x[51]+2*x[53]+2*x[54]+x[55]+x[56]+5*x[57]+2*x[58]+x[60]+2*x[61]+2*x[62]+3*x[63]+x[64]+2*x[67]+3*x[68]+x[69]+x[70]+3*x[71]+x[73]+x[74]+x[75]+x[79]+x[80]+x[82]+x[83])*q^23 + (x[42]+x[43]+x[44]+x[45]+x[47]+x[48]+x[49]+2*x[51]+x[52]+3*x[53]+x[54]+2*x[55]+4*x[57]+4*x[58]+x[59]+4*x[60]+4*x[61]+4*x[62]+2*x[63]+x[64]+3*x[67]+4*x[68]+x[69]+3*x[70]+5*x[71]+x[72]+3*x[73]+2*x[74]+3*x[75]+4*x[79]+4*x[80]+2*x[82]+2*x[83]+x[84]+x[85]+x[86]+x[88]+x[89]+x[94])*q^22 + (x[45]+x[47]+x[49]+2*x[51]+x[52]+2*x[53]+2*x[54]+2*x[55]+x[56]+4*x[57]+3*x[58]+3*x[60]+2*x[61]+3*x[62]+x[63]+2*x[64]+x[65]+5*x[67]+6*x[68]+2*x[69]+3*x[70]+6*x[71]+x[72]+3*x[73]+2*x[74]+7*x[75]+x[76]+x[77]+x[78]+5*x[79]+4*x[80]+2*x[81]+6*x[82]+6*x[83]+2*x[84]+x[85]+2*x[86]+3*x[89]+x[90]+2*x[93]+x[94]+x[95]+x[98])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+2*x[57]+2*x[58]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]+3*x[67]+4*x[68]+3*x[69]+4*x[70]+7*x[71]+x[72]+3*x[73]+2*x[74]+6*x[75]+2*x[76]+2*x[77]+x[78]+7*x[79]+4*x[80]+3*x[81]+7*x[82]+8*x[83]+5*x[84]+3*x[85]+5*x[86]+x[88]+6*x[89]+2*x[90]+2*x[92]+3*x[93]+2*x[94]+2*x[97]+x[98])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+2*x[60]+x[62]+x[63]+3*x[67]+4*x[68]+x[69]+2*x[70]+5*x[71]+x[72]+5*x[73]+3*x[74]+7*x[75]+x[76]+2*x[77]+x[78]+5*x[79]+6*x[80]+4*x[81]+7*x[82]+6*x[83]+5*x[84]+2*x[85]+5*x[86]+x[87]+3*x[88]+9*x[89]+3*x[90]+x[91]+4*x[92]+2*x[93]+5*x[94]+x[96]+5*x[97]+2*x[98]+x[100]+x[101])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+x[67]+2*x[68]+x[69]+3*x[70]+5*x[71]+x[72]+2*x[73]+2*x[74]+2*x[75]+2*x[76]+3*x[77]+2*x[78]+6*x[79]+3*x[80]+3*x[81]+6*x[82]+7*x[83]+6*x[84]+3*x[85]+6*x[86]+x[87]+2*x[88]+8*x[89]+4*x[90]+2*x[91]+5*x[92]+5*x[93]+4*x[94]+x[95]+x[96]+4*x[97]+4*x[98]+2*x[100]+3*x[101]+2*x[102]+2*x[103])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+x[71]+2*x[73]+2*x[74]+4*x[75]+2*x[77]+x[78]+2*x[79]+3*x[80]+4*x[81]+7*x[82]+4*x[83]+3*x[84]+2*x[85]+3*x[86]+x[88]+10*x[89]+3*x[90]+3*x[91]+5*x[92]+4*x[93]+4*x[94]+2*x[95]+2*x[96]+6*x[97]+4*x[98]+3*x[100]+3*x[101]+2*x[102]+3*x[103]+x[106]+x[107])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+x[73]+2*x[74]+3*x[77]+x[78]+4*x[79]+x[80]+2*x[82]+4*x[83]+4*x[84]+2*x[85]+5*x[86]+x[87]+x[88]+5*x[89]+3*x[90]+2*x[91]+7*x[92]+4*x[93]+5*x[94]+3*x[96]+5*x[97]+3*x[98]+x[99]+3*x[100]+5*x[101]+x[102]+3*x[103]+2*x[106]+2*x[107])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+x[78]+2*x[80]+2*x[81]+3*x[82]+x[83]+2*x[84]+2*x[85]+x[88]+7*x[89]+x[90]+3*x[91]+4*x[92]+2*x[93]+2*x[94]+x[95]+3*x[96]+6*x[97]+4*x[98]+3*x[100]+4*x[101]+x[102]+5*x[103]+x[104]+x[106]+x[108]+x[109])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+x[85]+2*x[86]+x[89]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+x[96]+3*x[97]+2*x[98]+4*x[100]+5*x[101]+2*x[102]+4*x[103]+x[104]+x[105]+2*x[106]+x[107]+x[108])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+x[92]+x[94]+3*x[96]+5*x[97]+2*x[98]+3*x[100]+x[101]+x[102]+4*x[103]+2*x[105]+2*x[106]+2*x[107]+2*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+x[98]+3*x[100]+3*x[101]+2*x[102]+2*x[103]+x[104]+2*x[105]+2*x[106]+x[107]+2*x[108]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+x[100]+4*x[103]+x[105]+x[106]+x[107]+2*x[108]+x[110])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[107]+x[108]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]+x[109]+x[110])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110]+x[111])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #24.2 : c = (1) |O_x_c^F| = 1/2*q^66*(q-1)*(q^2+1)*(q^3-1)*(q^4+1)*(q^6+1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,24,2] = (x[34]-x[35])*q^26 + (x[37]-x[38]-x[39]+x[40]+x[41]-x[42]-x[43]+x[47]+x[58]-x[62])*q^25 + (x[39]-x[40]-x[41]+x[42]+2*x[43]+x[44]-x[45]-2*x[47]-x[48]+x[49]+x[53]+x[54]+x[55]-2*x[57]-x[58]+x[61]+x[62]+2*x[63]+x[65]-x[67]-x[68]-x[69]+x[71])*q^24 + (x[41]-x[42]-2*x[43]-x[44]+2*x[45]+2*x[47]+x[48]-x[49]+x[51]-2*x[53]-2*x[54]-x[55]-x[56]+5*x[57]+2*x[58]-x[60]-2*x[61]-2*x[62]-3*x[63]-x[64]+2*x[67]+3*x[68]+x[69]-x[70]-3*x[71]+x[73]-x[74]+x[75]-x[79]+x[80]+x[82]-x[83])*q^23 + (x[42]+x[43]+x[44]-x[45]-x[47]-x[48]+x[49]-2*x[51]-x[52]+3*x[53]+x[54]+2*x[55]-4*x[57]-4*x[58]-x[59]+4*x[60]+4*x[61]+4*x[62]+2*x[63]+x[64]-3*x[67]-4*x[68]-x[69]+3*x[70]+5*x[71]+x[72]-3*x[73]+2*x[74]-3*x[75]+4*x[79]-4*x[80]-2*x[82]+2*x[83]+x[84]-x[85]+x[86]-x[88]-x[89]+x[94])*q^22 + (x[45]+x[47]-x[49]+2*x[51]+x[52]-2*x[53]-2*x[54]-2*x[55]-x[56]+4*x[57]+3*x[58]-3*x[60]-2*x[61]-3*x[62]-x[63]-2*x[64]-x[65]+5*x[67]+6*x[68]+2*x[69]-3*x[70]-6*x[71]-x[72]+3*x[73]-2*x[74]+7*x[75]-x[76]-x[77]-x[78]-5*x[79]+4*x[80]+2*x[81]+6*x[82]-6*x[83]-2*x[84]+x[85]-2*x[86]+3*x[89]-x[90]-2*x[93]-x[94]-x[95]+x[98])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]-2*x[57]-2*x[58]+3*x[60]+2*x[61]+2*x[62]+2*x[63]+x[65]-3*x[67]-4*x[68]-3*x[69]+4*x[70]+7*x[71]+x[72]-3*x[73]+2*x[74]-6*x[75]+2*x[76]+2*x[77]+x[78]+7*x[79]-4*x[80]-3*x[81]-7*x[82]+8*x[83]+5*x[84]-3*x[85]+5*x[86]-x[88]-6*x[89]+2*x[90]+2*x[92]+3*x[93]+2*x[94]-2*x[97]-x[98])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]-2*x[60]-x[62]-x[63]+3*x[67]+4*x[68]+x[69]-2*x[70]-5*x[71]-x[72]+5*x[73]-3*x[74]+7*x[75]-x[76]-2*x[77]-x[78]-5*x[79]+6*x[80]+4*x[81]+7*x[82]-6*x[83]-5*x[84]+2*x[85]-5*x[86]-x[87]+3*x[88]+9*x[89]-3*x[90]+x[91]-4*x[92]-2*x[93]-5*x[94]+x[96]+5*x[97]+2*x[98]-x[100]-x[101])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]-x[67]-2*x[68]-x[69]+3*x[70]+5*x[71]+x[72]-2*x[73]+2*x[74]-2*x[75]+2*x[76]+3*x[77]+2*x[78]+6*x[79]-3*x[80]-3*x[81]-6*x[82]+7*x[83]+6*x[84]-3*x[85]+6*x[86]+x[87]-2*x[88]-8*x[89]+4*x[90]-2*x[91]+5*x[92]+5*x[93]+4*x[94]+x[95]-x[96]-4*x[97]-4*x[98]+2*x[100]+3*x[101]+2*x[102]-2*x[103])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]-x[71]+2*x[73]-2*x[74]+4*x[75]-2*x[77]-x[78]-2*x[79]+3*x[80]+4*x[81]+7*x[82]-4*x[83]-3*x[84]+2*x[85]-3*x[86]+x[88]+10*x[89]-3*x[90]+3*x[91]-5*x[92]-4*x[93]-4*x[94]-2*x[95]+2*x[96]+6*x[97]+4*x[98]-3*x[100]-3*x[101]-2*x[102]+3*x[103]-x[106]+x[107])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]-x[73]+2*x[74]+3*x[77]+x[78]+4*x[79]-x[80]-2*x[82]+4*x[83]+4*x[84]-2*x[85]+5*x[86]+x[87]-x[88]-5*x[89]+3*x[90]-2*x[91]+7*x[92]+4*x[93]+5*x[94]-3*x[96]-5*x[97]-3*x[98]-x[99]+3*x[100]+5*x[101]+x[102]-3*x[103]+2*x[106]-2*x[107])*q^16 + (x[67]+x[68]+x[73]+2*x[75]-x[78]+2*x[80]+2*x[81]+3*x[82]-x[83]-2*x[84]+2*x[85]+x[88]+7*x[89]-x[90]+3*x[91]-4*x[92]-2*x[93]-2*x[94]-x[95]+3*x[96]+6*x[97]+4*x[98]-3*x[100]-4*x[101]-x[102]+5*x[103]-x[104]-x[106]+x[108]-x[109])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]-x[85]+2*x[86]-x[89]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]-x[96]-3*x[97]-2*x[98]+4*x[100]+5*x[101]+2*x[102]-4*x[103]+x[104]+x[105]+2*x[106]-x[107]-x[108])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]-x[92]-x[94]+3*x[96]+5*x[97]+2*x[98]-3*x[100]-x[101]-x[102]+4*x[103]-2*x[105]-2*x[106]+2*x[107]+2*x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]-x[98]+3*x[100]+3*x[101]+2*x[102]-2*x[103]+x[104]+2*x[105]+2*x[106]-x[107]-2*x[108]+x[110])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]-x[100]+4*x[103]-x[105]-x[106]+x[107]+2*x[108]-x[110])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]-x[107]-x[108]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108]-x[109]-x[110])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110]-x[111])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #25 : 2*A3 dim = 188 A(O) = 1 , |A(O)_0| = 1 g_s = 4*V[7]+6*V[6]+4*V[5]+10*V[4]+16*V[3]+6*V[2]+4*V[1]+10*V[0] Z_G(x)_0 = B2 # Green Polys by orbit reps #25.1 : x[36] : 2*A3,[1] : phi[840,26] Qxi[E8,25,1] = (x[36])*q^26 + (x[41]+x[52])*q^25 + (x[39]+x[42]+x[46]+x[50]+x[53]+x[55]+x[61])*q^24 + (x[41]+x[45]+x[47]+x[51]+x[52]+2*x[57]+2*x[67]+x[75])*q^23 + (x[42]+x[43]+x[44]+3*x[53]+x[55]+x[60]+2*x[61]+x[62]+x[63]+3*x[70]+2*x[71]+x[72]+x[76]+x[79]+x[86])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+3*x[57]+2*x[58]+4*x[67]+2*x[68]+x[73]+4*x[75]+2*x[80]+2*x[81]+x[82]+x[89])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+2*x[60]+2*x[61]+2*x[62]+x[63]+x[65]+3*x[70]+4*x[71]+2*x[72]+x[76]+2*x[77]+5*x[79]+3*x[83]+x[84]+3*x[86]+x[87]+x[90]+2*x[93])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+3*x[68]+x[69]+3*x[73]+6*x[75]+4*x[80]+4*x[81]+4*x[82]+x[88]+5*x[89]+x[96]+x[97])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+x[74]+2*x[76]+2*x[77]+x[78]+5*x[79]+5*x[83]+4*x[84]+5*x[86]+x[87]+4*x[90]+2*x[92]+2*x[93]+2*x[94]+2*x[101])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+6*x[82]+x[85]+x[88]+8*x[89]+2*x[91]+2*x[96]+3*x[97]+2*x[98]+x[103])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+3*x[84]+5*x[86]+x[87]+3*x[90]+5*x[92]+4*x[93]+4*x[94]+x[100]+3*x[101]+x[102]+x[104]+x[106])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+5*x[97]+3*x[98]+3*x[103])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+3*x[100]+5*x[101]+x[102]+x[104]+x[106])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+x[107]+x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #25.1 : c = () |O_x_c^F| = q^66*(q^4+1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,25,1] = (x[36])*q^26 + (x[41]+x[52])*q^25 + (x[39]+x[42]+x[46]+x[50]+x[53]+x[55]+x[61])*q^24 + (x[41]+x[45]+x[47]+x[51]+x[52]+2*x[57]+2*x[67]+x[75])*q^23 + (x[42]+x[43]+x[44]+3*x[53]+x[55]+x[60]+2*x[61]+x[62]+x[63]+3*x[70]+2*x[71]+x[72]+x[76]+x[79]+x[86])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+3*x[57]+2*x[58]+4*x[67]+2*x[68]+x[73]+4*x[75]+2*x[80]+2*x[81]+x[82]+x[89])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+2*x[60]+2*x[61]+2*x[62]+x[63]+x[65]+3*x[70]+4*x[71]+2*x[72]+x[76]+2*x[77]+5*x[79]+3*x[83]+x[84]+3*x[86]+x[87]+x[90]+2*x[93])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+3*x[68]+x[69]+3*x[73]+6*x[75]+4*x[80]+4*x[81]+4*x[82]+x[88]+5*x[89]+x[96]+x[97])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+x[74]+2*x[76]+2*x[77]+x[78]+5*x[79]+5*x[83]+4*x[84]+5*x[86]+x[87]+4*x[90]+2*x[92]+2*x[93]+2*x[94]+2*x[101])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+6*x[82]+x[85]+x[88]+8*x[89]+2*x[91]+2*x[96]+3*x[97]+2*x[98]+x[103])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+3*x[84]+5*x[86]+x[87]+3*x[90]+5*x[92]+4*x[93]+4*x[94]+x[100]+3*x[101]+x[102]+x[104]+x[106])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+5*x[97]+3*x[98]+3*x[103])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+3*x[100]+5*x[101]+x[102]+x[104]+x[106])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+x[107]+x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #26 : D5(a1) dim = 190 A(O) = S2 , |A(O)_0| = 2 g_s = V[10]+V[8]+8*V[7]+8*V[6]+8*V[5]+V[4]+8*V[2]+8*V[1]+15*V[0] Z_G(x)_0 = A3 # Green Polys by orbit reps #26.1 : x[37] : D5(a1),[2] : phi[2800,25] Qxi[E8,26,1] = (x[37])*q^25 + (x[43]+x[49]+x[63]+x[65])*q^24 + (x[45]+x[47]+x[48]+x[57]+x[58]+2*x[68]+x[73])*q^23 + (x[43]+x[49]+x[53]+2*x[60]+2*x[61]+3*x[62]+x[63]+x[64]+2*x[71]+2*x[74]+x[79]+x[83]+x[84])*q^22 + (x[45]+x[47]+x[48]+2*x[57]+2*x[58]+2*x[67]+5*x[68]+2*x[69]+2*x[73]+3*x[75]+x[80]+4*x[82]+x[85]+x[89]+x[98])*q^21 + (x[49]+x[53]+x[54]+x[55]+x[56]+3*x[60]+2*x[61]+3*x[62]+2*x[63]+x[64]+x[65]+x[70]+5*x[71]+3*x[74]+x[76]+x[77]+x[78]+4*x[79]+6*x[83]+4*x[84]+2*x[86]+x[92]+x[93]+2*x[94])*q^20 + (x[52]+2*x[57]+3*x[58]+x[59]+2*x[67]+5*x[68]+2*x[69]+5*x[73]+5*x[75]+4*x[80]+x[81]+7*x[82]+3*x[85]+3*x[88]+6*x[89]+4*x[97]+2*x[98])*q^19 + (x[53]+x[55]+x[56]+2*x[60]+x[62]+2*x[63]+x[64]+x[65]+2*x[70]+6*x[71]+3*x[74]+2*x[76]+2*x[77]+2*x[78]+5*x[79]+9*x[83]+7*x[84]+4*x[86]+2*x[90]+4*x[92]+4*x[93]+4*x[94]+2*x[95]+2*x[100]+2*x[101]+2*x[102])*q^18 + (x[57]+x[58]+2*x[67]+3*x[68]+2*x[69]+4*x[73]+4*x[75]+4*x[80]+2*x[81]+8*x[82]+4*x[85]+3*x[88]+10*x[89]+2*x[91]+x[96]+7*x[97]+5*x[98]+2*x[103]+x[107])*q^17 + (x[60]+x[61]+x[62]+x[70]+3*x[71]+x[72]+4*x[74]+3*x[77]+x[78]+5*x[79]+6*x[83]+6*x[84]+5*x[86]+2*x[90]+8*x[92]+5*x[93]+7*x[94]+x[95]+4*x[100]+4*x[101]+2*x[102]+2*x[106])*q^16 + (2*x[67]+2*x[68]+x[69]+x[73]+2*x[75]+2*x[80]+2*x[81]+6*x[82]+4*x[85]+x[88]+9*x[89]+3*x[91]+2*x[96]+7*x[97]+7*x[98]+6*x[103]+x[107]+x[108])*q^15 + (x[70]+2*x[71]+x[74]+x[76]+x[77]+x[78]+2*x[79]+4*x[83]+5*x[84]+3*x[86]+3*x[90]+7*x[92]+3*x[93]+5*x[94]+2*x[95]+6*x[100]+6*x[101]+2*x[102]+x[105]+3*x[106])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+2*x[82]+2*x[85]+2*x[88]+6*x[89]+x[91]+3*x[96]+7*x[97]+4*x[98]+x[99]+6*x[103]+3*x[107]+2*x[108])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[87]+2*x[90]+4*x[92]+4*x[93]+3*x[94]+x[95]+5*x[100]+4*x[101]+4*x[102]+x[104]+2*x[105]+3*x[106]+x[109]+x[110])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+4*x[97]+3*x[98]+5*x[103]+3*x[107]+3*x[108])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+4*x[100]+3*x[101]+2*x[105]+3*x[106]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+3*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #26.2 : x[38] : D5(a1),[1, 1] : phi[2100,28] Qxi[E8,26,2] = (x[38])*q^25 + (x[47]+x[48]+x[69])*q^24 + (x[43]+x[49]+x[62]+x[63]+x[64]+x[71]+x[74])*q^23 + (x[47]+x[48]+x[57]+2*x[58]+x[59]+2*x[68]+x[69]+2*x[73]+x[80]+x[82]+x[85])*q^22 + (x[49]+x[54]+x[55]+x[56]+x[60]+x[61]+2*x[62]+x[63]+2*x[64]+x[65]+x[66]+3*x[71]+2*x[74]+x[78]+x[79]+3*x[83]+x[84]+x[93]+x[94]+x[95])*q^21 + (x[57]+2*x[58]+x[59]+x[67]+3*x[68]+3*x[69]+3*x[73]+2*x[75]+2*x[80]+4*x[82]+3*x[85]+x[88]+2*x[89]+x[97]+x[98]+x[99])*q^20 + (x[60]+x[62]+x[63]+x[64]+x[70]+4*x[71]+3*x[74]+x[78]+2*x[79]+5*x[83]+4*x[84]+2*x[86]+x[90]+2*x[92]+x[93]+4*x[94]+x[95]+x[100])*q^19 + (x[67]+2*x[68]+2*x[69]+2*x[73]+x[75]+2*x[80]+x[81]+5*x[82]+4*x[85]+x[88]+5*x[89]+x[91]+3*x[97]+4*x[98]+x[103])*q^18 + (x[71]+3*x[74]+x[77]+x[78]+2*x[79]+3*x[83]+3*x[84]+2*x[86]+x[90]+4*x[92]+3*x[93]+5*x[94]+2*x[95]+3*x[100]+x[101]+x[102]+x[106])*q^17 + (x[73]+x[80]+2*x[82]+3*x[85]+x[88]+4*x[89]+x[91]+x[96]+4*x[97]+4*x[98]+x[99]+3*x[103]+2*x[107])*q^16 + (x[78]+x[83]+2*x[84]+x[90]+3*x[92]+2*x[93]+2*x[94]+2*x[95]+4*x[100]+3*x[101]+x[102]+x[106]+x[109])*q^15 + (x[85]+x[89]+x[96]+3*x[97]+2*x[98]+x[99]+3*x[103]+2*x[107]+x[108])*q^14 + (x[92]+x[94]+3*x[100]+x[101]+x[102]+x[105]+2*x[106]+x[109])*q^13 + (x[98]+2*x[103]+x[107]+2*x[108])*q^12 + (x[100]+x[105]+x[106]+x[110])*q^11 + (x[107]+x[108])*q^10 + (x[109]+x[110])*q^9 + (x[111])*q^8 # Green Polys by conj class in A(O) #26.1 : c = () |O_x_c^F| = 1/2*q^71*(q^3+1)*(q^4+1)*(q^6+1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,26,1] = (x[37]+x[38])*q^25 + (x[43]+x[47]+x[48]+x[49]+x[63]+x[65]+x[69])*q^24 + (x[43]+x[45]+x[47]+x[48]+x[49]+x[57]+x[58]+x[62]+x[63]+x[64]+2*x[68]+x[71]+x[73]+x[74])*q^23 + (x[43]+x[47]+x[48]+x[49]+x[53]+x[57]+2*x[58]+x[59]+2*x[60]+2*x[61]+3*x[62]+x[63]+x[64]+2*x[68]+x[69]+2*x[71]+2*x[73]+2*x[74]+x[79]+x[80]+x[82]+x[83]+x[84]+x[85])*q^22 + (x[45]+x[47]+x[48]+x[49]+x[54]+x[55]+x[56]+2*x[57]+2*x[58]+x[60]+x[61]+2*x[62]+x[63]+2*x[64]+x[65]+x[66]+2*x[67]+5*x[68]+2*x[69]+3*x[71]+2*x[73]+2*x[74]+3*x[75]+x[78]+x[79]+x[80]+4*x[82]+3*x[83]+x[84]+x[85]+x[89]+x[93]+x[94]+x[95]+x[98])*q^21 + (x[49]+x[53]+x[54]+x[55]+x[56]+x[57]+2*x[58]+x[59]+3*x[60]+2*x[61]+3*x[62]+2*x[63]+x[64]+x[65]+x[67]+3*x[68]+3*x[69]+x[70]+5*x[71]+3*x[73]+3*x[74]+2*x[75]+x[76]+x[77]+x[78]+4*x[79]+2*x[80]+4*x[82]+6*x[83]+4*x[84]+3*x[85]+2*x[86]+x[88]+2*x[89]+x[92]+x[93]+2*x[94]+x[97]+x[98]+x[99])*q^20 + (x[52]+2*x[57]+3*x[58]+x[59]+x[60]+x[62]+x[63]+x[64]+2*x[67]+5*x[68]+2*x[69]+x[70]+4*x[71]+5*x[73]+3*x[74]+5*x[75]+x[78]+2*x[79]+4*x[80]+x[81]+7*x[82]+5*x[83]+4*x[84]+3*x[85]+2*x[86]+3*x[88]+6*x[89]+x[90]+2*x[92]+x[93]+4*x[94]+x[95]+4*x[97]+2*x[98]+x[100])*q^19 + (x[53]+x[55]+x[56]+2*x[60]+x[62]+2*x[63]+x[64]+x[65]+x[67]+2*x[68]+2*x[69]+2*x[70]+6*x[71]+2*x[73]+3*x[74]+x[75]+2*x[76]+2*x[77]+2*x[78]+5*x[79]+2*x[80]+x[81]+5*x[82]+9*x[83]+7*x[84]+4*x[85]+4*x[86]+x[88]+5*x[89]+2*x[90]+x[91]+4*x[92]+4*x[93]+4*x[94]+2*x[95]+3*x[97]+4*x[98]+2*x[100]+2*x[101]+2*x[102]+x[103])*q^18 + (x[57]+x[58]+2*x[67]+3*x[68]+2*x[69]+x[71]+4*x[73]+3*x[74]+4*x[75]+x[77]+x[78]+2*x[79]+4*x[80]+2*x[81]+8*x[82]+3*x[83]+3*x[84]+4*x[85]+2*x[86]+3*x[88]+10*x[89]+x[90]+2*x[91]+4*x[92]+3*x[93]+5*x[94]+2*x[95]+x[96]+7*x[97]+5*x[98]+3*x[100]+x[101]+x[102]+2*x[103]+x[106]+x[107])*q^17 + (x[60]+x[61]+x[62]+x[70]+3*x[71]+x[72]+x[73]+4*x[74]+3*x[77]+x[78]+5*x[79]+x[80]+2*x[82]+6*x[83]+6*x[84]+3*x[85]+5*x[86]+x[88]+4*x[89]+2*x[90]+x[91]+8*x[92]+5*x[93]+7*x[94]+x[95]+x[96]+4*x[97]+4*x[98]+x[99]+4*x[100]+4*x[101]+2*x[102]+3*x[103]+2*x[106]+2*x[107])*q^16 + (2*x[67]+2*x[68]+x[69]+x[73]+2*x[75]+x[78]+2*x[80]+2*x[81]+6*x[82]+x[83]+2*x[84]+4*x[85]+x[88]+9*x[89]+x[90]+3*x[91]+3*x[92]+2*x[93]+2*x[94]+2*x[95]+2*x[96]+7*x[97]+7*x[98]+4*x[100]+3*x[101]+x[102]+6*x[103]+x[106]+x[107]+x[108]+x[109])*q^15 + (x[70]+2*x[71]+x[74]+x[76]+x[77]+x[78]+2*x[79]+4*x[83]+5*x[84]+x[85]+3*x[86]+x[89]+3*x[90]+7*x[92]+3*x[93]+5*x[94]+2*x[95]+x[96]+3*x[97]+2*x[98]+x[99]+6*x[100]+6*x[101]+2*x[102]+3*x[103]+x[105]+3*x[106]+2*x[107]+x[108])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+2*x[82]+2*x[85]+2*x[88]+6*x[89]+x[91]+x[92]+x[94]+3*x[96]+7*x[97]+4*x[98]+x[99]+3*x[100]+x[101]+x[102]+6*x[103]+x[105]+2*x[106]+3*x[107]+2*x[108]+x[109])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[87]+2*x[90]+4*x[92]+4*x[93]+3*x[94]+x[95]+x[98]+5*x[100]+4*x[101]+4*x[102]+2*x[103]+x[104]+2*x[105]+3*x[106]+x[107]+2*x[108]+x[109]+x[110])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+4*x[97]+3*x[98]+x[100]+5*x[103]+x[105]+x[106]+3*x[107]+3*x[108]+x[110])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+4*x[100]+3*x[101]+2*x[105]+3*x[106]+x[107]+x[108]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+3*x[108]+x[109]+x[110])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[109]+x[110]+x[111])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #26.2 : c = (1) |O_x_c^F| = 1/2*q^71*(q^3-1)*(q^4+1)*(q^6+1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,26,2] = (x[37]-x[38])*q^25 + (x[43]-x[47]-x[48]+x[49]+x[63]+x[65]-x[69])*q^24 + (-x[43]+x[45]+x[47]+x[48]-x[49]+x[57]+x[58]-x[62]-x[63]-x[64]+2*x[68]-x[71]+x[73]-x[74])*q^23 + (x[43]-x[47]-x[48]+x[49]+x[53]-x[57]-2*x[58]-x[59]+2*x[60]+2*x[61]+3*x[62]+x[63]+x[64]-2*x[68]-x[69]+2*x[71]-2*x[73]+2*x[74]+x[79]-x[80]-x[82]+x[83]+x[84]-x[85])*q^22 + (x[45]+x[47]+x[48]-x[49]-x[54]-x[55]-x[56]+2*x[57]+2*x[58]-x[60]-x[61]-2*x[62]-x[63]-2*x[64]-x[65]-x[66]+2*x[67]+5*x[68]+2*x[69]-3*x[71]+2*x[73]-2*x[74]+3*x[75]-x[78]-x[79]+x[80]+4*x[82]-3*x[83]-x[84]+x[85]+x[89]-x[93]-x[94]-x[95]+x[98])*q^21 + (x[49]+x[53]+x[54]+x[55]+x[56]-x[57]-2*x[58]-x[59]+3*x[60]+2*x[61]+3*x[62]+2*x[63]+x[64]+x[65]-x[67]-3*x[68]-3*x[69]+x[70]+5*x[71]-3*x[73]+3*x[74]-2*x[75]+x[76]+x[77]+x[78]+4*x[79]-2*x[80]-4*x[82]+6*x[83]+4*x[84]-3*x[85]+2*x[86]-x[88]-2*x[89]+x[92]+x[93]+2*x[94]-x[97]-x[98]-x[99])*q^20 + (x[52]+2*x[57]+3*x[58]+x[59]-x[60]-x[62]-x[63]-x[64]+2*x[67]+5*x[68]+2*x[69]-x[70]-4*x[71]+5*x[73]-3*x[74]+5*x[75]-x[78]-2*x[79]+4*x[80]+x[81]+7*x[82]-5*x[83]-4*x[84]+3*x[85]-2*x[86]+3*x[88]+6*x[89]-x[90]-2*x[92]-x[93]-4*x[94]-x[95]+4*x[97]+2*x[98]-x[100])*q^19 + (x[53]+x[55]+x[56]+2*x[60]+x[62]+2*x[63]+x[64]+x[65]-x[67]-2*x[68]-2*x[69]+2*x[70]+6*x[71]-2*x[73]+3*x[74]-x[75]+2*x[76]+2*x[77]+2*x[78]+5*x[79]-2*x[80]-x[81]-5*x[82]+9*x[83]+7*x[84]-4*x[85]+4*x[86]-x[88]-5*x[89]+2*x[90]-x[91]+4*x[92]+4*x[93]+4*x[94]+2*x[95]-3*x[97]-4*x[98]+2*x[100]+2*x[101]+2*x[102]-x[103])*q^18 + (x[57]+x[58]+2*x[67]+3*x[68]+2*x[69]-x[71]+4*x[73]-3*x[74]+4*x[75]-x[77]-x[78]-2*x[79]+4*x[80]+2*x[81]+8*x[82]-3*x[83]-3*x[84]+4*x[85]-2*x[86]+3*x[88]+10*x[89]-x[90]+2*x[91]-4*x[92]-3*x[93]-5*x[94]-2*x[95]+x[96]+7*x[97]+5*x[98]-3*x[100]-x[101]-x[102]+2*x[103]-x[106]+x[107])*q^17 + (x[60]+x[61]+x[62]+x[70]+3*x[71]+x[72]-x[73]+4*x[74]+3*x[77]+x[78]+5*x[79]-x[80]-2*x[82]+6*x[83]+6*x[84]-3*x[85]+5*x[86]-x[88]-4*x[89]+2*x[90]-x[91]+8*x[92]+5*x[93]+7*x[94]+x[95]-x[96]-4*x[97]-4*x[98]-x[99]+4*x[100]+4*x[101]+2*x[102]-3*x[103]+2*x[106]-2*x[107])*q^16 + (2*x[67]+2*x[68]+x[69]+x[73]+2*x[75]-x[78]+2*x[80]+2*x[81]+6*x[82]-x[83]-2*x[84]+4*x[85]+x[88]+9*x[89]-x[90]+3*x[91]-3*x[92]-2*x[93]-2*x[94]-2*x[95]+2*x[96]+7*x[97]+7*x[98]-4*x[100]-3*x[101]-x[102]+6*x[103]-x[106]+x[107]+x[108]-x[109])*q^15 + (x[70]+2*x[71]+x[74]+x[76]+x[77]+x[78]+2*x[79]+4*x[83]+5*x[84]-x[85]+3*x[86]-x[89]+3*x[90]+7*x[92]+3*x[93]+5*x[94]+2*x[95]-x[96]-3*x[97]-2*x[98]-x[99]+6*x[100]+6*x[101]+2*x[102]-3*x[103]+x[105]+3*x[106]-2*x[107]-x[108])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+2*x[82]+2*x[85]+2*x[88]+6*x[89]+x[91]-x[92]-x[94]+3*x[96]+7*x[97]+4*x[98]+x[99]-3*x[100]-x[101]-x[102]+6*x[103]-x[105]-2*x[106]+3*x[107]+2*x[108]-x[109])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[87]+2*x[90]+4*x[92]+4*x[93]+3*x[94]+x[95]-x[98]+5*x[100]+4*x[101]+4*x[102]-2*x[103]+x[104]+2*x[105]+3*x[106]-x[107]-2*x[108]+x[109]+x[110])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+4*x[97]+3*x[98]-x[100]+5*x[103]-x[105]-x[106]+3*x[107]+3*x[108]-x[110])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+4*x[100]+3*x[101]+2*x[105]+3*x[106]-x[107]-x[108]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+3*x[108]-x[109]-x[110])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[109]+x[110]-x[111])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #27 : A4+2*A1 dim = 192 A(O) = S2 , |A(O)_0| = 2 g_s = V[8]+4*V[7]+5*V[6]+8*V[5]+9*V[4]+8*V[3]+9*V[2]+8*V[1]+4*V[0] Z_G(x)_0 = A1+T1 # Green Polys by orbit reps #27.1 : x[39] : A4+2*A1,[2] : phi[4200,24] Qxi[E8,27,1] = (x[39])*q^24 + (x[41]+x[45]+x[47]+x[57])*q^23 + (x[42]+x[43]+x[44]+2*x[53]+x[55]+x[60]+2*x[61]+x[62]+x[63]+x[70]+x[71])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+3*x[57]+2*x[58]+3*x[67]+2*x[68]+x[73]+3*x[75]+x[80]+x[82])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+2*x[60]+2*x[61]+2*x[62]+x[63]+x[65]+3*x[70]+4*x[71]+x[72]+x[76]+x[77]+4*x[79]+3*x[83]+x[84]+2*x[86]+x[93])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+3*x[68]+x[69]+3*x[73]+6*x[75]+4*x[80]+3*x[81]+4*x[82]+x[88]+4*x[89]+x[97])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+x[74]+2*x[76]+2*x[77]+x[78]+5*x[79]+5*x[83]+4*x[84]+5*x[86]+x[87]+3*x[90]+2*x[92]+2*x[93]+2*x[94]+x[101])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+6*x[82]+x[85]+x[88]+8*x[89]+2*x[91]+x[96]+3*x[97]+2*x[98]+x[103])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+3*x[84]+5*x[86]+x[87]+3*x[90]+5*x[92]+4*x[93]+4*x[94]+x[100]+3*x[101]+x[102]+x[106])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+5*x[97]+3*x[98]+3*x[103])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+3*x[100]+5*x[101]+x[102]+x[104]+x[106])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+x[107]+x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #27.2 : x[40] : A4+2*A1,[1, 1] : phi[3360,25] Qxi[E8,27,2] = (x[40])*q^24 + (x[43]+x[44]+x[54]+x[63])*q^23 + (x[45]+x[48]+x[51]+2*x[57]+x[58]+x[68]+x[80])*q^22 + (x[53]+x[54]+x[55]+2*x[60]+x[61]+2*x[62]+x[64]+x[70]+x[71]+x[74]+2*x[79]+x[83])*q^21 + (x[57]+x[58]+x[67]+2*x[68]+x[69]+3*x[75]+x[80]+x[81]+3*x[82]+x[85]+x[89])*q^20 + (x[60]+x[63]+x[70]+2*x[71]+x[74]+x[76]+x[77]+2*x[79]+3*x[83]+2*x[84]+2*x[86]+x[90]+x[92]+x[94])*q^19 + (x[68]+x[73]+x[75]+2*x[80]+x[81]+2*x[82]+x[85]+2*x[88]+3*x[89]+x[91]+2*x[97]+x[98])*q^18 + (x[74]+x[77]+x[79]+2*x[83]+x[84]+x[86]+x[90]+2*x[92]+2*x[93]+x[94]+x[95]+x[100]+x[101]+2*x[102])*q^17 + (x[82]+x[85]+2*x[89]+x[91]+x[96]+2*x[97]+x[98]+x[103]+x[107])*q^16 + (x[84]+2*x[92]+x[94]+x[100]+2*x[101])*q^15 + (x[97]+x[98]+2*x[103])*q^14 + (x[100]+x[102]+x[105]+x[106])*q^13 + (x[107]+x[108])*q^12 + (x[110])*q^11 # Green Polys by conj class in A(O) #27.1 : c = () |O_x_c^F| = 1/2*q^67*(q+1)*(q^2+1)*(q^4+1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,27,1] = (x[39]+x[40])*q^24 + (x[41]+x[43]+x[44]+x[45]+x[47]+x[54]+x[57]+x[63])*q^23 + (x[42]+x[43]+x[44]+x[45]+x[48]+x[51]+2*x[53]+x[55]+2*x[57]+x[58]+x[60]+2*x[61]+x[62]+x[63]+x[68]+x[70]+x[71]+x[80])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+x[53]+x[54]+x[55]+3*x[57]+2*x[58]+2*x[60]+x[61]+2*x[62]+x[64]+3*x[67]+2*x[68]+x[70]+x[71]+x[73]+x[74]+3*x[75]+2*x[79]+x[80]+x[82]+x[83])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+x[57]+x[58]+2*x[60]+2*x[61]+2*x[62]+x[63]+x[65]+x[67]+2*x[68]+x[69]+3*x[70]+4*x[71]+x[72]+3*x[75]+x[76]+x[77]+4*x[79]+x[80]+x[81]+3*x[82]+3*x[83]+x[84]+x[85]+2*x[86]+x[89]+x[93])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+x[60]+x[63]+3*x[67]+3*x[68]+x[69]+x[70]+2*x[71]+3*x[73]+x[74]+6*x[75]+x[76]+x[77]+2*x[79]+4*x[80]+3*x[81]+4*x[82]+3*x[83]+2*x[84]+2*x[86]+x[88]+4*x[89]+x[90]+x[92]+x[94]+x[97])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+x[68]+3*x[70]+5*x[71]+x[72]+x[73]+x[74]+x[75]+2*x[76]+2*x[77]+x[78]+5*x[79]+2*x[80]+x[81]+2*x[82]+5*x[83]+4*x[84]+x[85]+5*x[86]+x[87]+2*x[88]+3*x[89]+3*x[90]+x[91]+2*x[92]+2*x[93]+2*x[94]+2*x[97]+x[98]+x[101])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+x[74]+4*x[75]+x[77]+x[79]+3*x[80]+4*x[81]+6*x[82]+2*x[83]+x[84]+x[85]+x[86]+x[88]+8*x[89]+x[90]+2*x[91]+2*x[92]+2*x[93]+x[94]+x[95]+x[96]+3*x[97]+2*x[98]+x[100]+x[101]+2*x[102]+x[103])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+x[82]+4*x[83]+3*x[84]+x[85]+5*x[86]+x[87]+2*x[89]+3*x[90]+x[91]+5*x[92]+4*x[93]+4*x[94]+x[96]+2*x[97]+x[98]+x[100]+3*x[101]+x[102]+x[103]+x[106]+x[107])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+x[84]+2*x[85]+x[88]+7*x[89]+3*x[91]+2*x[92]+x[94]+3*x[96]+5*x[97]+3*x[98]+x[100]+2*x[101]+3*x[103])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+x[97]+x[98]+3*x[100]+5*x[101]+x[102]+2*x[103]+x[104]+x[106])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+x[100]+x[102]+4*x[103]+x[105]+x[106]+x[107]+x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]+x[107]+x[108])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]+x[110])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #27.2 : c = (1) |O_x_c^F| = 1/2*q^67*(q-1)*(q^2+1)*(q^4+1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,27,2] = (x[39]-x[40])*q^24 + (x[41]-x[43]-x[44]+x[45]+x[47]-x[54]+x[57]-x[63])*q^23 + (x[42]+x[43]+x[44]-x[45]-x[48]-x[51]+2*x[53]+x[55]-2*x[57]-x[58]+x[60]+2*x[61]+x[62]+x[63]-x[68]+x[70]+x[71]-x[80])*q^22 + (x[45]+x[47]+2*x[51]+x[52]-x[53]-x[54]-x[55]+3*x[57]+2*x[58]-2*x[60]-x[61]-2*x[62]-x[64]+3*x[67]+2*x[68]-x[70]-x[71]+x[73]-x[74]+3*x[75]-2*x[79]+x[80]+x[82]-x[83])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]-x[57]-x[58]+2*x[60]+2*x[61]+2*x[62]+x[63]+x[65]-x[67]-2*x[68]-x[69]+3*x[70]+4*x[71]+x[72]-3*x[75]+x[76]+x[77]+4*x[79]-x[80]-x[81]-3*x[82]+3*x[83]+x[84]-x[85]+2*x[86]-x[89]+x[93])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]-x[60]-x[63]+3*x[67]+3*x[68]+x[69]-x[70]-2*x[71]+3*x[73]-x[74]+6*x[75]-x[76]-x[77]-2*x[79]+4*x[80]+3*x[81]+4*x[82]-3*x[83]-2*x[84]-2*x[86]+x[88]+4*x[89]-x[90]-x[92]-x[94]+x[97])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]-x[68]+3*x[70]+5*x[71]+x[72]-x[73]+x[74]-x[75]+2*x[76]+2*x[77]+x[78]+5*x[79]-2*x[80]-x[81]-2*x[82]+5*x[83]+4*x[84]-x[85]+5*x[86]+x[87]-2*x[88]-3*x[89]+3*x[90]-x[91]+2*x[92]+2*x[93]+2*x[94]-2*x[97]-x[98]+x[101])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]-x[74]+4*x[75]-x[77]-x[79]+3*x[80]+4*x[81]+6*x[82]-2*x[83]-x[84]+x[85]-x[86]+x[88]+8*x[89]-x[90]+2*x[91]-2*x[92]-2*x[93]-x[94]-x[95]+x[96]+3*x[97]+2*x[98]-x[100]-x[101]-2*x[102]+x[103])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]-x[82]+4*x[83]+3*x[84]-x[85]+5*x[86]+x[87]-2*x[89]+3*x[90]-x[91]+5*x[92]+4*x[93]+4*x[94]-x[96]-2*x[97]-x[98]+x[100]+3*x[101]+x[102]-x[103]+x[106]-x[107])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]-x[84]+2*x[85]+x[88]+7*x[89]+3*x[91]-2*x[92]-x[94]+3*x[96]+5*x[97]+3*x[98]-x[100]-2*x[101]+3*x[103])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]-x[97]-x[98]+3*x[100]+5*x[101]+x[102]-2*x[103]+x[104]+x[106])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]-x[100]-x[102]+4*x[103]-x[105]-x[106]+x[107]+x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106]-x[107]-x[108])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108]-x[110])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #28 : A4+A2 dim = 194 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[8]+13*V[6]+14*V[4]+18*V[2]+6*V[0] Z_G(x)_0 = 2*A1 # Green Polys by orbit reps #28.1 : x[41] : A4+A2,[1] : phi[4536,23] Qxi[E8,28,1] = (x[41])*q^23 + (x[42]+x[43]+x[44]+x[53]+x[55]+x[61])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+3*x[57]+x[58]+2*x[67]+x[68]+x[75])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+2*x[60]+2*x[61]+2*x[62]+x[63]+3*x[70]+3*x[71]+x[72]+x[76]+3*x[79]+x[83]+x[86])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+3*x[68]+x[69]+2*x[73]+6*x[75]+4*x[80]+3*x[81]+3*x[82]+x[88]+2*x[89])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+x[74]+2*x[76]+2*x[77]+x[78]+5*x[79]+5*x[83]+3*x[84]+5*x[86]+x[87]+3*x[90]+x[92]+2*x[93]+x[94])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+6*x[82]+x[85]+x[88]+8*x[89]+2*x[91]+x[96]+3*x[97]+x[98])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+3*x[84]+5*x[86]+x[87]+3*x[90]+5*x[92]+4*x[93]+4*x[94]+x[100]+3*x[101]+x[102])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+5*x[97]+3*x[98]+3*x[103])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+3*x[100]+5*x[101]+x[102]+x[104]+x[106])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+x[107]+x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #28.1 : c = () |O_x_c^F| = q^70*(q^2+1)*(q^4+1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,28,1] = (x[41])*q^23 + (x[42]+x[43]+x[44]+x[53]+x[55]+x[61])*q^22 + (x[45]+x[47]+2*x[51]+x[52]+3*x[57]+x[58]+2*x[67]+x[68]+x[75])*q^21 + (x[49]+x[50]+2*x[53]+2*x[54]+2*x[55]+x[56]+2*x[60]+2*x[61]+2*x[62]+x[63]+3*x[70]+3*x[71]+x[72]+x[76]+3*x[79]+x[83]+x[86])*q^20 + (x[51]+x[52]+2*x[57]+2*x[58]+3*x[67]+3*x[68]+x[69]+2*x[73]+6*x[75]+4*x[80]+3*x[81]+3*x[82]+x[88]+2*x[89])*q^19 + (x[53]+x[55]+2*x[60]+x[62]+x[63]+3*x[70]+5*x[71]+x[72]+x[74]+2*x[76]+2*x[77]+x[78]+5*x[79]+5*x[83]+3*x[84]+5*x[86]+x[87]+3*x[90]+x[92]+2*x[93]+x[94])*q^18 + (x[57]+2*x[67]+2*x[68]+x[69]+2*x[73]+4*x[75]+3*x[80]+4*x[81]+6*x[82]+x[85]+x[88]+8*x[89]+2*x[91]+x[96]+3*x[97]+x[98])*q^17 + (x[60]+x[61]+x[70]+2*x[71]+x[72]+2*x[74]+3*x[77]+x[78]+4*x[79]+4*x[83]+3*x[84]+5*x[86]+x[87]+3*x[90]+5*x[92]+4*x[93]+4*x[94]+x[100]+3*x[101]+x[102])*q^16 + (x[67]+x[68]+x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+2*x[85]+x[88]+7*x[89]+3*x[91]+3*x[96]+5*x[97]+3*x[98]+3*x[103])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+2*x[86]+3*x[90]+5*x[92]+3*x[93]+2*x[94]+x[95]+3*x[100]+5*x[101]+x[102]+x[104]+x[106])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[85]+x[88]+4*x[89]+x[91]+3*x[96]+5*x[97]+2*x[98]+4*x[103]+x[107]+x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]+3*x[100]+3*x[101]+2*x[102]+x[104]+2*x[105]+2*x[106])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+2*x[98]+4*x[103]+x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+2*x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #29 : A5 dim = 196 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+2*V[9]+7*V[8]+V[6]+14*V[5]+7*V[4]+2*V[3]+V[2]+17*V[0] Z_G(x)_0 = A1+G2 # Green Polys by orbit reps #29.1 : x[42] : A5,[1] : phi[3200,22] Qxi[E8,29,1] = (x[42])*q^22 + (x[47]+x[57]+x[67])*q^21 + (x[49]+x[53]+x[54]+x[61]+x[62]+x[63]+x[70]+2*x[71]+x[72]+x[79])*q^20 + (x[51]+x[57]+2*x[58]+2*x[67]+2*x[68]+x[69]+2*x[73]+2*x[75]+3*x[80]+x[81]+x[82]+x[89])*q^19 + (x[53]+x[54]+x[55]+x[60]+x[62]+x[63]+x[64]+x[65]+2*x[70]+4*x[71]+x[72]+x[74]+x[77]+x[78]+3*x[79]+4*x[83]+2*x[84]+2*x[86]+2*x[90]+2*x[93]+x[94])*q^18 + (2*x[57]+x[58]+2*x[67]+2*x[68]+2*x[69]+3*x[73]+3*x[75]+3*x[80]+3*x[81]+5*x[82]+2*x[85]+6*x[89]+x[96]+2*x[97]+x[98])*q^17 + (2*x[60]+x[61]+x[62]+x[63]+2*x[70]+4*x[71]+x[72]+3*x[74]+2*x[77]+x[78]+5*x[79]+4*x[83]+4*x[84]+4*x[86]+x[87]+3*x[90]+4*x[92]+3*x[93]+5*x[94]+x[100]+2*x[101])*q^16 + (2*x[67]+3*x[68]+x[69]+2*x[73]+3*x[75]+4*x[80]+3*x[81]+6*x[82]+3*x[85]+x[88]+8*x[89]+2*x[91]+2*x[96]+4*x[97]+5*x[98]+3*x[103])*q^15 + (x[70]+2*x[71]+2*x[74]+x[76]+2*x[77]+x[78]+3*x[79]+6*x[83]+5*x[84]+4*x[86]+4*x[90]+6*x[92]+5*x[93]+4*x[94]+2*x[95]+4*x[100]+4*x[101]+x[102]+x[104]+2*x[106])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+3*x[82]+3*x[85]+2*x[88]+8*x[89]+2*x[91]+4*x[96]+8*x[97]+4*x[98]+x[99]+4*x[103]+2*x[107]+x[108])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+3*x[84]+x[86]+x[87]+2*x[90]+6*x[92]+4*x[93]+4*x[94]+x[95]+5*x[100]+6*x[101]+3*x[102]+x[104]+x[105]+2*x[106]+x[109])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+5*x[97]+4*x[98]+7*x[103]+2*x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+5*x[100]+3*x[101]+x[102]+3*x[105]+4*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+2*x[107]+4*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #29.1 : c = () |O_x_c^F| = q^78*(q^2+1)*(q^4+1)*(q^6+1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,29,1] = (x[42])*q^22 + (x[47]+x[57]+x[67])*q^21 + (x[49]+x[53]+x[54]+x[61]+x[62]+x[63]+x[70]+2*x[71]+x[72]+x[79])*q^20 + (x[51]+x[57]+2*x[58]+2*x[67]+2*x[68]+x[69]+2*x[73]+2*x[75]+3*x[80]+x[81]+x[82]+x[89])*q^19 + (x[53]+x[54]+x[55]+x[60]+x[62]+x[63]+x[64]+x[65]+2*x[70]+4*x[71]+x[72]+x[74]+x[77]+x[78]+3*x[79]+4*x[83]+2*x[84]+2*x[86]+2*x[90]+2*x[93]+x[94])*q^18 + (2*x[57]+x[58]+2*x[67]+2*x[68]+2*x[69]+3*x[73]+3*x[75]+3*x[80]+3*x[81]+5*x[82]+2*x[85]+6*x[89]+x[96]+2*x[97]+x[98])*q^17 + (2*x[60]+x[61]+x[62]+x[63]+2*x[70]+4*x[71]+x[72]+3*x[74]+2*x[77]+x[78]+5*x[79]+4*x[83]+4*x[84]+4*x[86]+x[87]+3*x[90]+4*x[92]+3*x[93]+5*x[94]+x[100]+2*x[101])*q^16 + (2*x[67]+3*x[68]+x[69]+2*x[73]+3*x[75]+4*x[80]+3*x[81]+6*x[82]+3*x[85]+x[88]+8*x[89]+2*x[91]+2*x[96]+4*x[97]+5*x[98]+3*x[103])*q^15 + (x[70]+2*x[71]+2*x[74]+x[76]+2*x[77]+x[78]+3*x[79]+6*x[83]+5*x[84]+4*x[86]+4*x[90]+6*x[92]+5*x[93]+4*x[94]+2*x[95]+4*x[100]+4*x[101]+x[102]+x[104]+2*x[106])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+3*x[82]+3*x[85]+2*x[88]+8*x[89]+2*x[91]+4*x[96]+8*x[97]+4*x[98]+x[99]+4*x[103]+2*x[107]+x[108])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+3*x[84]+x[86]+x[87]+2*x[90]+6*x[92]+4*x[93]+4*x[94]+x[95]+5*x[100]+6*x[101]+3*x[102]+x[104]+x[105]+2*x[106]+x[109])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+5*x[97]+4*x[98]+7*x[103]+2*x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+5*x[100]+3*x[101]+x[102]+3*x[105]+4*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+2*x[107]+4*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #30 : D5(a1)+A1 dim = 196 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+3*V[8]+6*V[7]+8*V[6]+6*V[5]+3*V[4]+2*V[3]+7*V[2]+10*V[1]+6*V[0] Z_G(x)_0 = 2*A1 # Green Polys by orbit reps #30.1 : x[43] : D5(a1)+A1,[1] : phi[6075,22] Qxi[E8,30,1] = (x[43])*q^22 + (x[45]+x[47]+x[48]+x[57]+x[58]+x[68])*q^21 + (x[49]+x[53]+x[54]+x[55]+x[56]+2*x[60]+2*x[61]+3*x[62]+x[63]+x[64]+2*x[71]+x[74]+x[79]+x[83])*q^20 + (x[52]+2*x[57]+3*x[58]+x[59]+2*x[67]+4*x[68]+2*x[69]+2*x[73]+4*x[75]+2*x[80]+4*x[82]+x[85]+x[88]+x[89])*q^19 + (x[53]+x[55]+x[56]+2*x[60]+x[62]+2*x[63]+x[64]+x[65]+2*x[70]+6*x[71]+2*x[74]+2*x[76]+x[77]+x[78]+4*x[79]+7*x[83]+4*x[84]+3*x[86]+x[90]+x[92]+x[93]+2*x[94]+x[95])*q^18 + (x[57]+x[58]+2*x[67]+3*x[68]+2*x[69]+4*x[73]+4*x[75]+4*x[80]+2*x[81]+7*x[82]+3*x[85]+3*x[88]+8*x[89]+x[91]+4*x[97]+2*x[98])*q^17 + (x[60]+x[61]+x[62]+x[70]+3*x[71]+x[72]+4*x[74]+3*x[77]+x[78]+5*x[79]+6*x[83]+5*x[84]+5*x[86]+2*x[90]+6*x[92]+5*x[93]+6*x[94]+x[95]+2*x[100]+2*x[101]+2*x[102])*q^16 + (2*x[67]+2*x[68]+x[69]+x[73]+2*x[75]+2*x[80]+2*x[81]+6*x[82]+4*x[85]+x[88]+9*x[89]+3*x[91]+2*x[96]+6*x[97]+6*x[98]+4*x[103]+x[107])*q^15 + (x[70]+2*x[71]+x[74]+x[76]+x[77]+x[78]+2*x[79]+4*x[83]+5*x[84]+3*x[86]+3*x[90]+7*x[92]+3*x[93]+5*x[94]+2*x[95]+5*x[100]+6*x[101]+x[102]+2*x[106])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+2*x[82]+2*x[85]+2*x[88]+6*x[89]+x[91]+3*x[96]+7*x[97]+4*x[98]+x[99]+6*x[103]+2*x[107]+x[108])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[87]+2*x[90]+4*x[92]+4*x[93]+3*x[94]+x[95]+5*x[100]+4*x[101]+4*x[102]+x[104]+2*x[105]+3*x[106]+x[109])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+4*x[97]+3*x[98]+5*x[103]+3*x[107]+3*x[108])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+4*x[100]+3*x[101]+2*x[105]+3*x[106]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+3*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #30.1 : c = () |O_x_c^F| = q^72*(q^2+1)*(q^4+1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,30,1] = (x[43])*q^22 + (x[45]+x[47]+x[48]+x[57]+x[58]+x[68])*q^21 + (x[49]+x[53]+x[54]+x[55]+x[56]+2*x[60]+2*x[61]+3*x[62]+x[63]+x[64]+2*x[71]+x[74]+x[79]+x[83])*q^20 + (x[52]+2*x[57]+3*x[58]+x[59]+2*x[67]+4*x[68]+2*x[69]+2*x[73]+4*x[75]+2*x[80]+4*x[82]+x[85]+x[88]+x[89])*q^19 + (x[53]+x[55]+x[56]+2*x[60]+x[62]+2*x[63]+x[64]+x[65]+2*x[70]+6*x[71]+2*x[74]+2*x[76]+x[77]+x[78]+4*x[79]+7*x[83]+4*x[84]+3*x[86]+x[90]+x[92]+x[93]+2*x[94]+x[95])*q^18 + (x[57]+x[58]+2*x[67]+3*x[68]+2*x[69]+4*x[73]+4*x[75]+4*x[80]+2*x[81]+7*x[82]+3*x[85]+3*x[88]+8*x[89]+x[91]+4*x[97]+2*x[98])*q^17 + (x[60]+x[61]+x[62]+x[70]+3*x[71]+x[72]+4*x[74]+3*x[77]+x[78]+5*x[79]+6*x[83]+5*x[84]+5*x[86]+2*x[90]+6*x[92]+5*x[93]+6*x[94]+x[95]+2*x[100]+2*x[101]+2*x[102])*q^16 + (2*x[67]+2*x[68]+x[69]+x[73]+2*x[75]+2*x[80]+2*x[81]+6*x[82]+4*x[85]+x[88]+9*x[89]+3*x[91]+2*x[96]+6*x[97]+6*x[98]+4*x[103]+x[107])*q^15 + (x[70]+2*x[71]+x[74]+x[76]+x[77]+x[78]+2*x[79]+4*x[83]+5*x[84]+3*x[86]+3*x[90]+7*x[92]+3*x[93]+5*x[94]+2*x[95]+5*x[100]+6*x[101]+x[102]+2*x[106])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+2*x[82]+2*x[85]+2*x[88]+6*x[89]+x[91]+3*x[96]+7*x[97]+4*x[98]+x[99]+6*x[103]+2*x[107]+x[108])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[87]+2*x[90]+4*x[92]+4*x[93]+3*x[94]+x[95]+5*x[100]+4*x[101]+4*x[102]+x[104]+2*x[105]+3*x[106]+x[109])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+4*x[97]+3*x[98]+5*x[103]+3*x[107]+3*x[108])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+4*x[100]+3*x[101]+2*x[105]+3*x[106]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+3*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[109]+x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #31 : A4+A2+A1 dim = 196 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[8]+4*V[7]+5*V[6]+6*V[5]+10*V[4]+8*V[3]+7*V[2]+6*V[1]+3*V[0] Z_G(x)_0 = A1 # Green Polys by orbit reps #31.1 : x[44] : A4+A2+A1,[1] : phi[2835,22] Qxi[E8,31,1] = (x[44])*q^22 + (x[45]+x[51]+x[57])*q^21 + (x[50]+x[53]+x[54]+x[55]+x[60]+x[61]+x[62]+x[70]+x[79])*q^20 + (x[51]+x[52]+x[57]+x[58]+x[67]+x[68]+3*x[75]+x[80]+x[81]+x[82])*q^19 + (x[53]+x[55]+x[60]+x[63]+2*x[70]+2*x[71]+2*x[76]+x[77]+2*x[79]+2*x[83]+x[84]+2*x[86]+x[90])*q^18 + (x[57]+x[67]+x[68]+x[73]+3*x[75]+2*x[80]+2*x[81]+2*x[82]+x[88]+3*x[89]+x[91]+x[97])*q^17 + (x[60]+x[61]+x[70]+x[71]+x[72]+x[74]+2*x[77]+3*x[79]+2*x[83]+x[84]+3*x[86]+x[87]+x[90]+2*x[92]+2*x[93]+x[94]+x[101]+x[102])*q^16 + (x[67]+x[68]+2*x[75]+x[80]+2*x[81]+2*x[82]+x[85]+4*x[89]+2*x[91]+x[96]+2*x[97]+x[98]+x[103])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[79]+2*x[83]+2*x[84]+2*x[86]+2*x[90]+3*x[92]+x[93]+x[94]+x[100]+3*x[101])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[88]+3*x[89]+x[91]+2*x[96]+3*x[97]+x[98]+2*x[103])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+2*x[92]+2*x[93]+x[94]+x[100]+2*x[101]+2*x[102]+x[104]+x[105]+x[106])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+x[98]+2*x[103]+x[107]+x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+x[100]+2*x[101]+x[105]+x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #31.1 : c = () |O_x_c^F| = q^70*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,31,1] = (x[44])*q^22 + (x[45]+x[51]+x[57])*q^21 + (x[50]+x[53]+x[54]+x[55]+x[60]+x[61]+x[62]+x[70]+x[79])*q^20 + (x[51]+x[52]+x[57]+x[58]+x[67]+x[68]+3*x[75]+x[80]+x[81]+x[82])*q^19 + (x[53]+x[55]+x[60]+x[63]+2*x[70]+2*x[71]+2*x[76]+x[77]+2*x[79]+2*x[83]+x[84]+2*x[86]+x[90])*q^18 + (x[57]+x[67]+x[68]+x[73]+3*x[75]+2*x[80]+2*x[81]+2*x[82]+x[88]+3*x[89]+x[91]+x[97])*q^17 + (x[60]+x[61]+x[70]+x[71]+x[72]+x[74]+2*x[77]+3*x[79]+2*x[83]+x[84]+3*x[86]+x[87]+x[90]+2*x[92]+2*x[93]+x[94]+x[101]+x[102])*q^16 + (x[67]+x[68]+2*x[75]+x[80]+2*x[81]+2*x[82]+x[85]+4*x[89]+2*x[91]+x[96]+2*x[97]+x[98]+x[103])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[79]+2*x[83]+2*x[84]+2*x[86]+2*x[90]+3*x[92]+x[93]+x[94]+x[100]+3*x[101])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[88]+3*x[89]+x[91]+2*x[96]+3*x[97]+x[98]+2*x[103])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+2*x[92]+2*x[93]+x[94]+x[100]+2*x[101]+2*x[102]+x[104]+x[105]+x[106])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+x[98]+2*x[103]+x[107]+x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+x[100]+2*x[101]+x[105]+x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #32 : D4+A2 dim = 198 A(O) = S2 , |A(O)_0| = 2 g_s = V[10]+6*V[8]+14*V[6]+7*V[4]+14*V[2]+8*V[0] Z_G(x)_0 = A2 # Green Polys by orbit reps #32.1 : x[45] : D4+A2,[2] : phi[4200,21] Qxi[E8,32,1] = (x[45])*q^21 + (x[53]+x[60]+x[61]+x[62])*q^20 + (x[52]+x[57]+x[58]+x[67]+x[68]+2*x[75]+x[82])*q^19 + (x[53]+x[55]+x[56]+x[60]+x[63]+x[65]+x[70]+2*x[71]+2*x[76]+x[77]+2*x[79]+2*x[83]+x[84]+x[86])*q^18 + (x[57]+x[58]+x[67]+x[68]+2*x[73]+3*x[75]+2*x[80]+x[81]+2*x[82]+2*x[88]+3*x[89]+x[97])*q^17 + (x[60]+x[61]+x[62]+x[70]+2*x[71]+x[72]+x[74]+2*x[77]+3*x[79]+3*x[83]+2*x[84]+3*x[86]+x[90]+2*x[92]+2*x[93]+x[94]+x[101]+x[102])*q^16 + (2*x[67]+2*x[68]+x[69]+2*x[75]+x[80]+2*x[81]+4*x[82]+x[85]+5*x[89]+2*x[91]+x[96]+2*x[97]+2*x[98]+x[103])*q^15 + (x[70]+2*x[71]+x[74]+x[76]+x[77]+2*x[79]+3*x[83]+3*x[84]+3*x[86]+2*x[90]+4*x[92]+x[93]+3*x[94]+x[100]+3*x[101]+x[106])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+2*x[82]+x[85]+2*x[88]+5*x[89]+x[91]+2*x[96]+4*x[97]+2*x[98]+3*x[103])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[87]+2*x[90]+3*x[92]+4*x[93]+2*x[94]+x[95]+2*x[100]+3*x[101]+3*x[102]+x[104]+x[105]+x[106])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+4*x[97]+2*x[98]+3*x[103]+2*x[107]+x[108])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+3*x[100]+3*x[101]+x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+2*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #32.2 : x[46] : D4+A2,[1, 1] : phi[168,24] Qxi[E8,32,2] = (x[46])*q^21 + (x[52])*q^20 + (x[53]+x[76])*q^19 + (x[67]+x[75])*q^18 + (x[72]+x[77]+x[79]+x[86])*q^17 + (x[81]+x[89])*q^16 + (x[90]+x[101])*q^15 + (x[96])*q^14 + (x[104])*q^13 # Green Polys by conj class in A(O) #32.1 : c = () |O_x_c^F| = 1/2*q^75*(q^3+1)*(q^6+1)*(q^8-1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,32,1] = (x[45]+x[46])*q^21 + (x[52]+x[53]+x[60]+x[61]+x[62])*q^20 + (x[52]+x[53]+x[57]+x[58]+x[67]+x[68]+2*x[75]+x[76]+x[82])*q^19 + (x[53]+x[55]+x[56]+x[60]+x[63]+x[65]+x[67]+x[70]+2*x[71]+x[75]+2*x[76]+x[77]+2*x[79]+2*x[83]+x[84]+x[86])*q^18 + (x[57]+x[58]+x[67]+x[68]+x[72]+2*x[73]+3*x[75]+x[77]+x[79]+2*x[80]+x[81]+2*x[82]+x[86]+2*x[88]+3*x[89]+x[97])*q^17 + (x[60]+x[61]+x[62]+x[70]+2*x[71]+x[72]+x[74]+2*x[77]+3*x[79]+x[81]+3*x[83]+2*x[84]+3*x[86]+x[89]+x[90]+2*x[92]+2*x[93]+x[94]+x[101]+x[102])*q^16 + (2*x[67]+2*x[68]+x[69]+2*x[75]+x[80]+2*x[81]+4*x[82]+x[85]+5*x[89]+x[90]+2*x[91]+x[96]+2*x[97]+2*x[98]+x[101]+x[103])*q^15 + (x[70]+2*x[71]+x[74]+x[76]+x[77]+2*x[79]+3*x[83]+3*x[84]+3*x[86]+2*x[90]+4*x[92]+x[93]+3*x[94]+x[96]+x[100]+3*x[101]+x[106])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+2*x[82]+x[85]+2*x[88]+5*x[89]+x[91]+2*x[96]+4*x[97]+2*x[98]+3*x[103]+x[104])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[87]+2*x[90]+3*x[92]+4*x[93]+2*x[94]+x[95]+2*x[100]+3*x[101]+3*x[102]+x[104]+x[105]+x[106])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+4*x[97]+2*x[98]+3*x[103]+2*x[107]+x[108])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+3*x[100]+3*x[101]+x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+2*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #32.2 : c = (1) |O_x_c^F| = 1/2*q^75*(q^3-1)*(q^6+1)*(q^8-1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,32,2] = (x[45]-x[46])*q^21 + (-x[52]+x[53]+x[60]+x[61]+x[62])*q^20 + (x[52]-x[53]+x[57]+x[58]+x[67]+x[68]+2*x[75]-x[76]+x[82])*q^19 + (x[53]+x[55]+x[56]+x[60]+x[63]+x[65]-x[67]+x[70]+2*x[71]-x[75]+2*x[76]+x[77]+2*x[79]+2*x[83]+x[84]+x[86])*q^18 + (x[57]+x[58]+x[67]+x[68]-x[72]+2*x[73]+3*x[75]-x[77]-x[79]+2*x[80]+x[81]+2*x[82]-x[86]+2*x[88]+3*x[89]+x[97])*q^17 + (x[60]+x[61]+x[62]+x[70]+2*x[71]+x[72]+x[74]+2*x[77]+3*x[79]-x[81]+3*x[83]+2*x[84]+3*x[86]-x[89]+x[90]+2*x[92]+2*x[93]+x[94]+x[101]+x[102])*q^16 + (2*x[67]+2*x[68]+x[69]+2*x[75]+x[80]+2*x[81]+4*x[82]+x[85]+5*x[89]-x[90]+2*x[91]+x[96]+2*x[97]+2*x[98]-x[101]+x[103])*q^15 + (x[70]+2*x[71]+x[74]+x[76]+x[77]+2*x[79]+3*x[83]+3*x[84]+3*x[86]+2*x[90]+4*x[92]+x[93]+3*x[94]-x[96]+x[100]+3*x[101]+x[106])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+2*x[82]+x[85]+2*x[88]+5*x[89]+x[91]+2*x[96]+4*x[97]+2*x[98]+3*x[103]-x[104])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[87]+2*x[90]+3*x[92]+4*x[93]+2*x[94]+x[95]+2*x[100]+3*x[101]+3*x[102]+x[104]+x[105]+x[106])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+4*x[97]+2*x[98]+3*x[103]+2*x[107]+x[108])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+3*x[100]+3*x[101]+x[105]+2*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+2*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #33 : E6(a3) dim = 198 A(O) = S2 , |A(O)_0| = 2 g_s = 2*V[10]+8*V[8]+8*V[6]+15*V[4]+3*V[2]+14*V[0] Z_G(x)_0 = G2 # Green Polys by orbit reps #33.1 : x[47] : E6(a3),[2] : phi[5600,21] Qxi[E8,33,1] = (x[47])*q^21 + (x[49]+x[61]+x[62]+x[63]+x[71])*q^20 + (x[57]+x[58]+x[67]+2*x[68]+x[69]+2*x[73]+x[75]+x[80]+x[82])*q^19 + (x[55]+x[60]+x[62]+x[63]+x[64]+x[65]+x[70]+3*x[71]+x[74]+x[78]+2*x[79]+3*x[83]+2*x[84]+x[86]+x[93]+x[94])*q^18 + (x[57]+x[58]+x[67]+2*x[68]+2*x[69]+3*x[73]+2*x[75]+2*x[80]+x[81]+4*x[82]+2*x[85]+4*x[89]+2*x[97]+x[98])*q^17 + (x[60]+x[61]+x[62]+x[63]+x[70]+3*x[71]+3*x[74]+x[77]+x[78]+3*x[79]+4*x[83]+4*x[84]+3*x[86]+x[90]+3*x[92]+3*x[93]+4*x[94]+x[100]+x[101])*q^16 + (2*x[67]+3*x[68]+x[69]+2*x[73]+2*x[75]+3*x[80]+x[81]+5*x[82]+3*x[85]+x[88]+6*x[89]+2*x[91]+x[96]+4*x[97]+5*x[98]+2*x[103])*q^15 + (x[70]+2*x[71]+2*x[74]+x[76]+x[77]+x[78]+3*x[79]+5*x[83]+5*x[84]+3*x[86]+2*x[90]+5*x[92]+4*x[93]+4*x[94]+2*x[95]+4*x[100]+3*x[101]+x[102]+2*x[106])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+3*x[82]+3*x[85]+2*x[88]+7*x[89]+x[91]+2*x[96]+7*x[97]+4*x[98]+x[99]+4*x[103]+2*x[107]+x[108])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+3*x[84]+x[86]+x[87]+2*x[90]+5*x[92]+4*x[93]+4*x[94]+x[95]+5*x[100]+5*x[101]+3*x[102]+x[105]+2*x[106]+x[109])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+5*x[97]+4*x[98]+6*x[103]+2*x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+5*x[100]+3*x[101]+x[102]+2*x[105]+4*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+2*x[107]+4*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #33.2 : x[48] : E6(a3),[1, 1] : phi[2400,23] Qxi[E8,33,2] = (x[48])*q^21 + (x[62]+x[64]+x[74])*q^20 + (x[58]+x[59]+x[68]+x[69]+x[82]+x[85])*q^19 + (x[56]+x[63]+x[64]+x[65]+x[66]+x[71]+x[74]+2*x[83]+x[84]+x[94]+x[95])*q^18 + (x[58]+x[59]+x[68]+x[69]+2*x[73]+x[80]+x[82]+2*x[85]+2*x[88]+x[89]+x[97]+x[98]+x[99])*q^17 + (x[62]+x[64]+x[71]+2*x[74]+x[79]+2*x[83]+2*x[84]+x[92]+x[93]+2*x[94]+2*x[95]+x[100]+x[102])*q^16 + (x[67]+x[68]+2*x[69]+3*x[82]+3*x[85]+2*x[89]+x[97]+3*x[98]+x[103]+x[107])*q^15 + (x[71]+2*x[74]+x[79]+x[83]+2*x[84]+x[86]+2*x[92]+4*x[94]+x[95]+2*x[100]+x[101]+x[106])*q^14 + (x[73]+x[80]+x[82]+2*x[85]+x[88]+2*x[89]+2*x[97]+3*x[98]+x[99]+2*x[103]+x[107])*q^13 + (x[78]+x[83]+x[84]+x[90]+x[92]+2*x[93]+x[94]+2*x[95]+3*x[100]+x[101]+2*x[102]+x[106]+x[109])*q^12 + (x[85]+x[89]+x[96]+2*x[97]+x[98]+x[99]+x[103]+3*x[107]+x[108])*q^11 + (x[92]+x[94]+2*x[100]+x[101]+x[106]+x[109]+x[110])*q^10 + (x[98]+2*x[103]+x[108])*q^9 + (x[100]+x[105]+x[106])*q^8 + (x[107]+x[108])*q^7 + (x[109]+x[110])*q^6 + (x[111])*q^5 # Green Polys by conj class in A(O) #33.1 : c = () |O_x_c^F| = 1/2*q^78*(q^6+1)*(q^8-1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,33,1] = (x[47]+x[48])*q^21 + (x[49]+x[61]+2*x[62]+x[63]+x[64]+x[71]+x[74])*q^20 + (x[57]+2*x[58]+x[59]+x[67]+3*x[68]+2*x[69]+2*x[73]+x[75]+x[80]+2*x[82]+x[85])*q^19 + (x[55]+x[56]+x[60]+x[62]+2*x[63]+2*x[64]+2*x[65]+x[66]+x[70]+4*x[71]+2*x[74]+x[78]+2*x[79]+5*x[83]+3*x[84]+x[86]+x[93]+2*x[94]+x[95])*q^18 + (x[57]+2*x[58]+x[59]+x[67]+3*x[68]+3*x[69]+5*x[73]+2*x[75]+3*x[80]+x[81]+5*x[82]+4*x[85]+2*x[88]+5*x[89]+3*x[97]+2*x[98]+x[99])*q^17 + (x[60]+x[61]+2*x[62]+x[63]+x[64]+x[70]+4*x[71]+5*x[74]+x[77]+x[78]+4*x[79]+6*x[83]+6*x[84]+3*x[86]+x[90]+4*x[92]+4*x[93]+6*x[94]+2*x[95]+2*x[100]+x[101]+x[102])*q^16 + (3*x[67]+4*x[68]+3*x[69]+2*x[73]+2*x[75]+3*x[80]+x[81]+8*x[82]+6*x[85]+x[88]+8*x[89]+2*x[91]+x[96]+5*x[97]+8*x[98]+3*x[103]+x[107])*q^15 + (x[70]+3*x[71]+4*x[74]+x[76]+x[77]+x[78]+4*x[79]+6*x[83]+7*x[84]+4*x[86]+2*x[90]+7*x[92]+4*x[93]+8*x[94]+3*x[95]+6*x[100]+4*x[101]+x[102]+3*x[106])*q^14 + (3*x[73]+x[75]+3*x[80]+x[81]+4*x[82]+5*x[85]+3*x[88]+9*x[89]+x[91]+2*x[96]+9*x[97]+7*x[98]+2*x[99]+6*x[103]+3*x[107]+x[108])*q^13 + (x[77]+3*x[78]+x[79]+3*x[83]+4*x[84]+x[86]+x[87]+3*x[90]+6*x[92]+6*x[93]+5*x[94]+3*x[95]+8*x[100]+6*x[101]+5*x[102]+x[105]+3*x[106]+2*x[109])*q^12 + (x[81]+x[82]+2*x[85]+4*x[89]+x[91]+3*x[96]+7*x[97]+5*x[98]+x[99]+7*x[103]+5*x[107]+3*x[108])*q^11 + (x[84]+x[86]+x[90]+4*x[92]+3*x[94]+7*x[100]+4*x[101]+x[102]+2*x[105]+5*x[106]+x[109]+2*x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+3*x[98]+6*x[103]+2*x[107]+5*x[108])*q^9 + (x[92]+x[93]+3*x[100]+x[101]+x[102]+x[104]+3*x[105]+3*x[106]+x[109]+2*x[110])*q^8 + (x[96]+x[97]+x[103]+3*x[107]+3*x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+2*x[109]+3*x[110])*q^6 + (x[103]+x[108]+2*x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #33.2 : c = (1) |O_x_c^F| = 1/2*q^78*(q^6+1)*(q^8-1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,33,2] = (x[47]-x[48])*q^21 + (x[49]+x[61]+x[63]-x[64]+x[71]-x[74])*q^20 + (x[57]-x[59]+x[67]+x[68]+2*x[73]+x[75]+x[80]-x[85])*q^19 + (x[55]-x[56]+x[60]+x[62]-x[66]+x[70]+2*x[71]+x[78]+2*x[79]+x[83]+x[84]+x[86]+x[93]-x[95])*q^18 + (x[57]-x[59]+x[67]+x[68]+x[69]+x[73]+2*x[75]+x[80]+x[81]+3*x[82]-2*x[88]+3*x[89]+x[97]-x[99])*q^17 + (x[60]+x[61]+x[63]-x[64]+x[70]+2*x[71]+x[74]+x[77]+x[78]+2*x[79]+2*x[83]+2*x[84]+3*x[86]+x[90]+2*x[92]+2*x[93]+2*x[94]-2*x[95]+x[101]-x[102])*q^16 + (x[67]+2*x[68]-x[69]+2*x[73]+2*x[75]+3*x[80]+x[81]+2*x[82]+x[88]+4*x[89]+2*x[91]+x[96]+3*x[97]+2*x[98]+x[103]-x[107])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[78]+2*x[79]+4*x[83]+3*x[84]+2*x[86]+2*x[90]+3*x[92]+4*x[93]+x[95]+2*x[100]+2*x[101]+x[102]+x[106])*q^14 + (x[73]+x[75]+x[80]+x[81]+2*x[82]+x[85]+x[88]+5*x[89]+x[91]+2*x[96]+5*x[97]+x[98]+2*x[103]+x[107]+x[108])*q^13 + (x[77]+x[78]+x[79]+x[83]+2*x[84]+x[86]+x[87]+x[90]+4*x[92]+2*x[93]+3*x[94]-x[95]+2*x[100]+4*x[101]+x[102]+x[105]+x[106])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+3*x[97]+3*x[98]-x[99]+5*x[103]-x[107]+x[108])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+3*x[100]+2*x[101]+x[102]+2*x[105]+3*x[106]-x[109])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+2*x[107]+3*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[109]+2*x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #34 : D5 dim = 200 A(O) = 1 , |A(O)_0| = 1 g_s = V[14]+9*V[10]+7*V[8]+V[6]+8*V[4]+V[2]+21*V[0] Z_G(x)_0 = B3 # Green Polys by orbit reps #34.1 : x[49] : D5,[1] : phi[2100,20] Qxi[E8,34,1] = (x[49])*q^20 + (x[68]+x[73])*q^19 + (x[60]+x[71]+x[74]+x[78]+x[83]+x[84])*q^18 + (x[68]+x[69]+x[73]+x[75]+2*x[82]+x[85]+x[89]+x[97]+x[98])*q^17 + (x[60]+x[71]+2*x[74]+x[77]+x[78]+x[79]+2*x[83]+2*x[84]+x[86]+2*x[92]+x[93]+2*x[94]+x[100])*q^16 + (x[68]+x[73]+x[75]+x[80]+3*x[82]+2*x[85]+x[88]+3*x[89]+x[91]+3*x[97]+3*x[98]+x[103])*q^15 + (x[71]+x[74]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+x[86]+x[90]+4*x[92]+2*x[93]+2*x[94]+2*x[95]+3*x[100]+2*x[101]+x[102]+x[106])*q^14 + (x[73]+x[75]+x[80]+2*x[82]+2*x[85]+2*x[88]+4*x[89]+x[91]+x[96]+5*x[97]+3*x[98]+x[99]+3*x[103]+2*x[107]+x[108])*q^13 + (x[77]+x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[90]+4*x[92]+2*x[93]+3*x[94]+x[95]+4*x[100]+3*x[101]+3*x[102]+x[105]+2*x[106]+x[109])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+x[96]+4*x[97]+3*x[98]+5*x[103]+2*x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+4*x[100]+3*x[101]+x[102]+2*x[105]+3*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+2*x[107]+3*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #34.1 : c = () |O_x_c^F| = q^84*(q^4+1)*(q^6+1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,34,1] = (x[49])*q^20 + (x[68]+x[73])*q^19 + (x[60]+x[71]+x[74]+x[78]+x[83]+x[84])*q^18 + (x[68]+x[69]+x[73]+x[75]+2*x[82]+x[85]+x[89]+x[97]+x[98])*q^17 + (x[60]+x[71]+2*x[74]+x[77]+x[78]+x[79]+2*x[83]+2*x[84]+x[86]+2*x[92]+x[93]+2*x[94]+x[100])*q^16 + (x[68]+x[73]+x[75]+x[80]+3*x[82]+2*x[85]+x[88]+3*x[89]+x[91]+3*x[97]+3*x[98]+x[103])*q^15 + (x[71]+x[74]+x[76]+x[77]+x[78]+x[79]+3*x[83]+3*x[84]+x[86]+x[90]+4*x[92]+2*x[93]+2*x[94]+2*x[95]+3*x[100]+2*x[101]+x[102]+x[106])*q^14 + (x[73]+x[75]+x[80]+2*x[82]+2*x[85]+2*x[88]+4*x[89]+x[91]+x[96]+5*x[97]+3*x[98]+x[99]+3*x[103]+2*x[107]+x[108])*q^13 + (x[77]+x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[90]+4*x[92]+2*x[93]+3*x[94]+x[95]+4*x[100]+3*x[101]+3*x[102]+x[105]+2*x[106]+x[109])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+x[96]+4*x[97]+3*x[98]+5*x[103]+2*x[107]+2*x[108])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+4*x[100]+3*x[101]+x[102]+2*x[105]+3*x[106]+x[110])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+2*x[107]+3*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[109]+2*x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108]+x[111])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #35 : A4+A3 dim = 200 A(O) = 1 , |A(O)_0| = 1 g_s = 2*V[9]+3*V[8]+4*V[7]+6*V[6]+6*V[5]+6*V[4]+8*V[3]+6*V[2]+4*V[1]+3*V[0] Z_G(x)_0 = A1 # Green Polys by orbit reps #35.1 : x[50] : A4+A3,[1] : phi[420,20] Qxi[E8,35,1] = (x[50])*q^20 + (x[51]+x[52])*q^19 + (x[53]+x[55]+x[70]+x[76])*q^18 + (x[57]+x[67]+2*x[75]+x[81])*q^17 + (x[60]+x[61]+x[70]+x[71]+x[72]+x[77]+2*x[79]+2*x[86]+x[87])*q^16 + (x[67]+x[68]+2*x[75]+x[80]+2*x[81]+x[82]+2*x[89]+x[91])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[79]+2*x[83]+x[84]+2*x[86]+2*x[90]+x[92]+x[93]+x[101])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[88]+3*x[89]+x[91]+2*x[96]+2*x[97])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+2*x[92]+2*x[93]+x[94]+2*x[101]+x[102]+x[104])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+x[98]+2*x[103])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+x[100]+2*x[101]+x[105]+x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #35.1 : c = () |O_x_c^F| = q^74*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,35,1] = (x[50])*q^20 + (x[51]+x[52])*q^19 + (x[53]+x[55]+x[70]+x[76])*q^18 + (x[57]+x[67]+2*x[75]+x[81])*q^17 + (x[60]+x[61]+x[70]+x[71]+x[72]+x[77]+2*x[79]+2*x[86]+x[87])*q^16 + (x[67]+x[68]+2*x[75]+x[80]+2*x[81]+x[82]+2*x[89]+x[91])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[79]+2*x[83]+x[84]+2*x[86]+2*x[90]+x[92]+x[93]+x[101])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[88]+3*x[89]+x[91]+2*x[96]+2*x[97])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+2*x[92]+2*x[93]+x[94]+2*x[101]+x[102]+x[104])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+x[98]+2*x[103])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+x[100]+2*x[101]+x[105]+x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #36 : A5+A1 dim = 202 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+4*V[9]+3*V[8]+2*V[7]+5*V[6]+8*V[5]+7*V[4]+4*V[3]+2*V[2]+4*V[1]+6*V[0] Z_G(x)_0 = 2*A1 # Green Polys by orbit reps #36.1 : x[51] : A5+A1,[1] : phi[2016,19] Qxi[E8,36,1] = (x[51])*q^19 + (x[53]+x[54]+x[55]+x[70])*q^18 + (2*x[57]+x[58]+x[67]+2*x[75]+x[80]+x[81])*q^17 + (2*x[60]+x[61]+x[62]+x[63]+2*x[70]+3*x[71]+x[72]+x[77]+3*x[79]+x[83]+2*x[86]+x[87]+x[90])*q^16 + (2*x[67]+3*x[68]+x[69]+x[73]+3*x[75]+3*x[80]+3*x[81]+4*x[82]+4*x[89]+x[91])*q^15 + (x[70]+2*x[71]+2*x[74]+x[76]+2*x[77]+3*x[79]+5*x[83]+3*x[84]+4*x[86]+3*x[90]+3*x[92]+3*x[93]+2*x[94]+x[101])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+3*x[82]+2*x[85]+2*x[88]+7*x[89]+2*x[91]+3*x[96]+5*x[97]+2*x[98]+x[103])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+3*x[84]+x[86]+x[87]+2*x[90]+5*x[92]+4*x[93]+3*x[94]+x[95]+2*x[100]+5*x[101]+2*x[102]+x[104])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+5*x[97]+3*x[98]+5*x[103]+x[107])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+4*x[100]+3*x[101]+x[102]+2*x[105]+3*x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+3*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #36.1 : c = () |O_x_c^F| = q^78*(q^2+1)*(q^4+1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,36,1] = (x[51])*q^19 + (x[53]+x[54]+x[55]+x[70])*q^18 + (2*x[57]+x[58]+x[67]+2*x[75]+x[80]+x[81])*q^17 + (2*x[60]+x[61]+x[62]+x[63]+2*x[70]+3*x[71]+x[72]+x[77]+3*x[79]+x[83]+2*x[86]+x[87]+x[90])*q^16 + (2*x[67]+3*x[68]+x[69]+x[73]+3*x[75]+3*x[80]+3*x[81]+4*x[82]+4*x[89]+x[91])*q^15 + (x[70]+2*x[71]+2*x[74]+x[76]+2*x[77]+3*x[79]+5*x[83]+3*x[84]+4*x[86]+3*x[90]+3*x[92]+3*x[93]+2*x[94]+x[101])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+3*x[82]+2*x[85]+2*x[88]+7*x[89]+2*x[91]+3*x[96]+5*x[97]+2*x[98]+x[103])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+3*x[84]+x[86]+x[87]+2*x[90]+5*x[92]+4*x[93]+3*x[94]+x[95]+2*x[100]+5*x[101]+2*x[102]+x[104])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+5*x[97]+3*x[98]+5*x[103]+x[107])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+4*x[100]+3*x[101]+x[102]+2*x[105]+3*x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+3*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #37 : D5(a1)+A2 dim = 202 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+2*V[9]+3*V[8]+6*V[7]+4*V[6]+6*V[5]+6*V[4]+4*V[3]+7*V[2]+4*V[1]+3*V[0] Z_G(x)_0 = A1 # Green Polys by orbit reps #37.1 : x[52] : D5(a1)+A2,[1] : phi[1344,19] Qxi[E8,37,1] = (x[52])*q^19 + (x[53]+x[55]+x[56]+x[76])*q^18 + (x[57]+x[58]+x[67]+2*x[75]+x[88])*q^17 + (x[60]+x[61]+x[62]+x[70]+2*x[71]+x[72]+x[77]+2*x[79]+x[83]+2*x[86])*q^16 + (2*x[67]+2*x[68]+x[69]+2*x[75]+x[80]+2*x[81]+3*x[82]+3*x[89]+x[91])*q^15 + (x[70]+2*x[71]+x[74]+x[76]+x[77]+2*x[79]+3*x[83]+2*x[84]+3*x[86]+2*x[90]+2*x[92]+x[93]+2*x[94]+x[101])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+2*x[82]+x[85]+2*x[88]+5*x[89]+x[91]+2*x[96]+3*x[97]+x[98]+x[103])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[87]+2*x[90]+3*x[92]+4*x[93]+2*x[94]+x[95]+x[100]+3*x[101]+2*x[102]+x[104])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+4*x[97]+2*x[98]+3*x[103]+x[107])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+3*x[100]+3*x[101]+x[105]+2*x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+2*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #37.1 : c = () |O_x_c^F| = q^76*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,37,1] = (x[52])*q^19 + (x[53]+x[55]+x[56]+x[76])*q^18 + (x[57]+x[58]+x[67]+2*x[75]+x[88])*q^17 + (x[60]+x[61]+x[62]+x[70]+2*x[71]+x[72]+x[77]+2*x[79]+x[83]+2*x[86])*q^16 + (2*x[67]+2*x[68]+x[69]+2*x[75]+x[80]+2*x[81]+3*x[82]+3*x[89]+x[91])*q^15 + (x[70]+2*x[71]+x[74]+x[76]+x[77]+2*x[79]+3*x[83]+2*x[84]+3*x[86]+2*x[90]+2*x[92]+x[93]+2*x[94]+x[101])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+2*x[82]+x[85]+2*x[88]+5*x[89]+x[91]+2*x[96]+3*x[97]+x[98]+x[103])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[87]+2*x[90]+3*x[92]+4*x[93]+2*x[94]+x[95]+x[100]+3*x[101]+2*x[102]+x[104])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+4*x[97]+2*x[98]+3*x[103]+x[107])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+3*x[100]+3*x[101]+x[105]+2*x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+2*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #38 : D6(a2) dim = 204 A(O) = S2 , |A(O)_0| = 2 g_s = 2*V[10]+4*V[9]+V[8]+4*V[7]+7*V[6]+4*V[5]+5*V[4]+8*V[3]+3*V[2]+6*V[0] Z_G(x)_0 = 2*A1 # Green Polys by orbit reps #38.1 : x[53] : D6(a2),[2] : phi[4200,18] Qxi[E8,38,1] = (x[53])*q^18 + (x[57]+x[58]+x[67]+x[75])*q^17 + (x[60]+x[61]+x[62]+x[63]+x[65]+x[70]+2*x[71]+x[72]+x[77]+2*x[79]+x[83]+x[86])*q^16 + (2*x[67]+3*x[68]+x[69]+2*x[73]+2*x[75]+2*x[80]+2*x[81]+3*x[82]+3*x[89])*q^15 + (x[70]+2*x[71]+2*x[74]+x[76]+x[77]+3*x[79]+4*x[83]+4*x[84]+3*x[86]+2*x[90]+2*x[92]+2*x[93]+2*x[94]+x[101])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+3*x[82]+2*x[85]+2*x[88]+6*x[89]+x[91]+2*x[96]+4*x[97]+3*x[98]+x[103])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+3*x[84]+x[86]+x[87]+2*x[90]+4*x[92]+4*x[93]+3*x[94]+x[95]+2*x[100]+4*x[101]+2*x[102]+x[104]+x[106])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+5*x[97]+3*x[98]+4*x[103]+x[107])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+4*x[100]+3*x[101]+x[102]+x[105]+3*x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+3*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #38.2 : x[54] : D6(a2),[1, 1] : phi[2688,20] Qxi[E8,38,2] = (x[54])*q^18 + (x[57]+x[58]+x[80])*q^17 + (x[60]+x[62]+x[63]+x[64]+x[70]+2*x[71]+x[79]+x[83]+x[90])*q^16 + (x[67]+2*x[68]+2*x[69]+x[73]+x[75]+2*x[80]+x[81]+3*x[82]+x[85]+2*x[89])*q^15 + (x[71]+3*x[74]+x[77]+2*x[79]+3*x[83]+2*x[84]+2*x[86]+x[90]+2*x[92]+2*x[93]+3*x[94])*q^14 + (x[73]+x[80]+2*x[82]+3*x[85]+x[88]+4*x[89]+x[91]+x[96]+3*x[97]+3*x[98]+x[103])*q^13 + (x[78]+x[83]+2*x[84]+x[90]+3*x[92]+2*x[93]+2*x[94]+2*x[95]+3*x[100]+3*x[101]+x[102])*q^12 + (x[85]+x[89]+x[96]+3*x[97]+2*x[98]+x[99]+3*x[103]+2*x[107])*q^11 + (x[92]+x[94]+3*x[100]+x[101]+x[102]+x[105]+2*x[106]+x[109])*q^10 + (x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[100]+x[105]+x[106]+x[110])*q^8 + (x[107]+x[108])*q^7 + (x[109]+x[110])*q^6 + (x[111])*q^5 # Green Polys by conj class in A(O) #38.1 : c = () |O_x_c^F| = 1/2*q^80*(q^2+1)*(q^4+1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,38,1] = (x[53]+x[54])*q^18 + (2*x[57]+2*x[58]+x[67]+x[75]+x[80])*q^17 + (2*x[60]+x[61]+2*x[62]+2*x[63]+x[64]+x[65]+2*x[70]+4*x[71]+x[72]+x[77]+3*x[79]+2*x[83]+x[86]+x[90])*q^16 + (3*x[67]+5*x[68]+3*x[69]+3*x[73]+3*x[75]+4*x[80]+3*x[81]+6*x[82]+x[85]+5*x[89])*q^15 + (x[70]+3*x[71]+5*x[74]+x[76]+2*x[77]+5*x[79]+7*x[83]+6*x[84]+5*x[86]+3*x[90]+4*x[92]+4*x[93]+5*x[94]+x[101])*q^14 + (3*x[73]+x[75]+3*x[80]+x[81]+5*x[82]+5*x[85]+3*x[88]+10*x[89]+2*x[91]+3*x[96]+7*x[97]+6*x[98]+2*x[103])*q^13 + (x[77]+3*x[78]+x[79]+3*x[83]+5*x[84]+x[86]+x[87]+3*x[90]+7*x[92]+6*x[93]+5*x[94]+3*x[95]+5*x[100]+7*x[101]+3*x[102]+x[104]+x[106])*q^12 + (x[81]+x[82]+2*x[85]+4*x[89]+x[91]+3*x[96]+8*x[97]+5*x[98]+x[99]+7*x[103]+3*x[107])*q^11 + (x[84]+x[86]+x[90]+4*x[92]+3*x[94]+7*x[100]+4*x[101]+2*x[102]+2*x[105]+5*x[106]+x[109])*q^10 + (x[89]+x[91]+x[96]+x[97]+3*x[98]+6*x[103]+2*x[107]+5*x[108])*q^9 + (x[92]+x[93]+3*x[100]+x[101]+x[102]+x[104]+3*x[105]+3*x[106]+2*x[110])*q^8 + (x[96]+x[97]+x[103]+3*x[107]+3*x[108])*q^7 + (x[100]+x[101]+x[105]+2*x[109]+3*x[110])*q^6 + (x[103]+x[108]+2*x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #38.2 : c = (1) |O_x_c^F| = 1/2*q^80*(q^2-1)*(q^4+1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,38,2] = (x[53]-x[54])*q^18 + (x[67]+x[75]-x[80])*q^17 + (x[61]-x[64]+x[65]+x[72]+x[77]+x[79]+x[86]-x[90])*q^16 + (x[67]+x[68]-x[69]+x[73]+x[75]+x[81]-x[85]+x[89])*q^15 + (x[70]+x[71]-x[74]+x[76]+x[79]+x[83]+2*x[84]+x[86]+x[90]-x[94]+x[101])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]-x[85]+x[88]+2*x[89]+x[96]+x[97])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+x[92]+2*x[93]+x[94]-x[95]-x[100]+x[101]+x[102]+x[104]+x[106])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+x[98]-x[99]+x[103]-x[107])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+x[100]+2*x[101]+x[106]-x[109])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #39 : E6(a3)+A1 dim = 204 A(O) = S2 , |A(O)_0| = 2 g_s = 2*V[10]+2*V[9]+4*V[8]+4*V[7]+4*V[6]+6*V[5]+7*V[4]+4*V[3]+4*V[2]+4*V[1]+3*V[0] Z_G(x)_0 = A1 # Green Polys by orbit reps #39.1 : x[55] : E6(a3)+A1,[2] : phi[3150,18] Qxi[E8,39,1] = (x[55])*q^18 + (x[57]+x[58]+x[75])*q^17 + (x[60]+x[61]+x[62]+x[63]+x[70]+2*x[71]+x[79]+x[83]+x[86])*q^16 + (2*x[67]+3*x[68]+x[69]+x[73]+2*x[75]+2*x[80]+x[81]+3*x[82]+2*x[89]+x[91])*q^15 + (x[70]+2*x[71]+2*x[74]+x[76]+x[77]+3*x[79]+4*x[83]+3*x[84]+3*x[86]+x[90]+2*x[92]+2*x[93]+2*x[94])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+3*x[82]+2*x[85]+2*x[88]+6*x[89]+x[91]+x[96]+4*x[97]+2*x[98]+x[103])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+3*x[84]+x[86]+x[87]+2*x[90]+4*x[92]+4*x[93]+3*x[94]+x[95]+2*x[100]+4*x[101]+2*x[102])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+5*x[97]+3*x[98]+4*x[103]+x[107])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+4*x[100]+3*x[101]+x[102]+x[105]+3*x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+3*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #39.2 : x[56] : E6(a3)+A1,[1, 1] : phi[1134,20] Qxi[E8,39,2] = (x[56])*q^18 + (x[58]+x[59]+x[88])*q^17 + (x[62]+x[64]+x[71]+x[83]+x[95])*q^16 + (x[67]+x[68]+2*x[69]+2*x[82]+x[85]+x[89])*q^15 + (x[71]+2*x[74]+x[79]+x[83]+x[84]+x[86]+x[92]+3*x[94])*q^14 + (x[73]+x[80]+x[82]+2*x[85]+x[88]+2*x[89]+x[97]+2*x[98]+x[103])*q^13 + (x[78]+x[83]+x[84]+x[90]+x[92]+2*x[93]+x[94]+2*x[95]+2*x[100]+x[101]+x[102])*q^12 + (x[85]+x[89]+x[96]+2*x[97]+x[98]+x[99]+x[103]+2*x[107])*q^11 + (x[92]+x[94]+2*x[100]+x[101]+x[106]+x[109])*q^10 + (x[98]+2*x[103]+x[108])*q^9 + (x[100]+x[105]+x[106])*q^8 + (x[107]+x[108])*q^7 + (x[109]+x[110])*q^6 + (x[111])*q^5 # Green Polys by conj class in A(O) #39.1 : c = () |O_x_c^F| = 1/2*q^78*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,39,1] = (x[55]+x[56])*q^18 + (x[57]+2*x[58]+x[59]+x[75]+x[88])*q^17 + (x[60]+x[61]+2*x[62]+x[63]+x[64]+x[70]+3*x[71]+x[79]+2*x[83]+x[86]+x[95])*q^16 + (3*x[67]+4*x[68]+3*x[69]+x[73]+2*x[75]+2*x[80]+x[81]+5*x[82]+x[85]+3*x[89]+x[91])*q^15 + (x[70]+3*x[71]+4*x[74]+x[76]+x[77]+4*x[79]+5*x[83]+4*x[84]+4*x[86]+x[90]+3*x[92]+2*x[93]+5*x[94])*q^14 + (3*x[73]+x[75]+3*x[80]+x[81]+4*x[82]+4*x[85]+3*x[88]+8*x[89]+x[91]+x[96]+5*x[97]+4*x[98]+2*x[103])*q^13 + (x[77]+3*x[78]+x[79]+3*x[83]+4*x[84]+x[86]+x[87]+3*x[90]+5*x[92]+6*x[93]+4*x[94]+3*x[95]+4*x[100]+5*x[101]+3*x[102])*q^12 + (x[81]+x[82]+2*x[85]+4*x[89]+x[91]+3*x[96]+7*x[97]+4*x[98]+x[99]+5*x[103]+3*x[107])*q^11 + (x[84]+x[86]+x[90]+4*x[92]+3*x[94]+6*x[100]+4*x[101]+x[102]+x[105]+4*x[106]+x[109])*q^10 + (x[89]+x[91]+x[96]+x[97]+3*x[98]+6*x[103]+x[107]+4*x[108])*q^9 + (x[92]+x[93]+3*x[100]+x[101]+x[102]+x[104]+3*x[105]+3*x[106]+x[110])*q^8 + (x[96]+x[97]+x[103]+3*x[107]+3*x[108])*q^7 + (x[100]+x[101]+x[105]+2*x[109]+3*x[110])*q^6 + (x[103]+x[108]+2*x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #39.2 : c = (1) |O_x_c^F| = 1/2*q^78*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,39,2] = (x[55]-x[56])*q^18 + (x[57]-x[59]+x[75]-x[88])*q^17 + (x[60]+x[61]+x[63]-x[64]+x[70]+x[71]+x[79]+x[86]-x[95])*q^16 + (x[67]+2*x[68]-x[69]+x[73]+2*x[75]+2*x[80]+x[81]+x[82]-x[85]+x[89]+x[91])*q^15 + (x[70]+x[71]+x[76]+x[77]+2*x[79]+3*x[83]+2*x[84]+2*x[86]+x[90]+x[92]+2*x[93]-x[94])*q^14 + (x[73]+x[75]+x[80]+x[81]+2*x[82]+x[88]+4*x[89]+x[91]+x[96]+3*x[97])*q^13 + (x[77]+x[78]+x[79]+x[83]+2*x[84]+x[86]+x[87]+x[90]+3*x[92]+2*x[93]+2*x[94]-x[95]+3*x[101]+x[102])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+3*x[97]+2*x[98]-x[99]+3*x[103]-x[107])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+x[102]+x[105]+2*x[106]-x[109])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #40 : E7(a5) dim = 206 A(O) = S3 , |A(O)_0| = 3 g_s = 3*V[10]+2*V[9]+3*V[8]+4*V[7]+5*V[6]+6*V[5]+4*V[4]+6*V[3]+6*V[2]+3*V[0] Z_G(x)_0 = A1 # Green Polys by orbit reps #40.1 : x[57] : E7(a5),[3] : phi[7168,17] Qxi[E8,40,1] = (x[57])*q^17 + (x[60]+x[61]+x[62]+x[63]+x[70]+x[71]+x[79])*q^16 + (2*x[67]+3*x[68]+x[69]+x[73]+2*x[75]+2*x[80]+x[81]+2*x[82]+x[89])*q^15 + (x[70]+2*x[71]+2*x[74]+x[76]+x[77]+3*x[79]+4*x[83]+3*x[84]+3*x[86]+x[90]+x[92]+2*x[93]+x[94])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+3*x[82]+2*x[85]+2*x[88]+6*x[89]+x[91]+x[96]+4*x[97]+2*x[98])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+3*x[84]+x[86]+x[87]+2*x[90]+4*x[92]+4*x[93]+3*x[94]+x[95]+2*x[100]+4*x[101]+2*x[102])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+5*x[97]+3*x[98]+4*x[103]+x[107])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+4*x[100]+3*x[101]+x[102]+x[105]+3*x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+3*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #40.2 : x[58] : E7(a5),[2, 1] : phi[5600,19] Qxi[E8,40,2] = (x[58])*q^17 + (x[62]+x[63]+x[64]+x[65]+x[71]+x[83])*q^16 + (x[67]+2*x[68]+2*x[69]+2*x[73]+x[80]+2*x[82]+x[85]+x[89])*q^15 + (x[71]+3*x[74]+2*x[79]+2*x[83]+3*x[84]+x[86]+x[92]+x[93]+3*x[94])*q^14 + (x[73]+x[80]+2*x[82]+3*x[85]+x[88]+3*x[89]+2*x[97]+4*x[98]+x[103])*q^13 + (x[78]+x[83]+2*x[84]+x[90]+2*x[92]+2*x[93]+2*x[94]+2*x[95]+3*x[100]+2*x[101]+x[102]+x[106])*q^12 + (x[85]+x[89]+x[96]+3*x[97]+2*x[98]+x[99]+2*x[103]+2*x[107])*q^11 + (x[92]+x[94]+3*x[100]+x[101]+x[102]+2*x[106]+x[109])*q^10 + (x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[100]+x[105]+x[106]+x[110])*q^8 + (x[107]+x[108])*q^7 + (x[109]+x[110])*q^6 + (x[111])*q^5 #40.3 : x[59] : E7(a5),[1, 1, 1] : phi[448,25] Qxi[E8,40,3] = (x[59])*q^17 + (x[64]+x[66]+x[95])*q^16 + (x[69]+x[85]+x[99])*q^15 + (x[74]+x[94])*q^14 + (x[85]+x[98])*q^13 + (x[95]+x[100])*q^12 + (x[99]+x[107])*q^11 + (x[109])*q^10 # Green Polys by conj class in A(O) #40.1 : c = () |O_x_c^F| = 1/6*q^80*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,40,1] = (x[57]+2*x[58]+x[59])*q^17 + (x[60]+x[61]+3*x[62]+3*x[63]+3*x[64]+2*x[65]+x[66]+x[70]+3*x[71]+x[79]+2*x[83]+x[95])*q^16 + (4*x[67]+7*x[68]+6*x[69]+5*x[73]+2*x[75]+4*x[80]+x[81]+6*x[82]+3*x[85]+3*x[89]+x[99])*q^15 + (x[70]+4*x[71]+9*x[74]+x[76]+x[77]+7*x[79]+8*x[83]+9*x[84]+5*x[86]+x[90]+3*x[92]+4*x[93]+8*x[94])*q^14 + (4*x[73]+x[75]+4*x[80]+x[81]+7*x[82]+9*x[85]+4*x[88]+12*x[89]+x[91]+x[96]+8*x[97]+11*x[98]+2*x[103])*q^13 + (x[77]+4*x[78]+x[79]+4*x[83]+7*x[84]+x[86]+x[87]+4*x[90]+8*x[92]+8*x[93]+7*x[94]+6*x[95]+9*x[100]+8*x[101]+4*x[102]+2*x[106])*q^12 + (x[81]+x[82]+3*x[85]+5*x[89]+x[91]+4*x[96]+11*x[97]+7*x[98]+3*x[99]+8*x[103]+6*x[107])*q^11 + (x[84]+x[86]+x[90]+5*x[92]+4*x[94]+10*x[100]+5*x[101]+3*x[102]+x[105]+7*x[106]+3*x[109])*q^10 + (x[89]+x[91]+x[96]+x[97]+4*x[98]+8*x[103]+3*x[107]+7*x[108])*q^9 + (x[92]+x[93]+4*x[100]+x[101]+x[102]+x[104]+4*x[105]+4*x[106]+3*x[110])*q^8 + (x[96]+x[97]+x[103]+4*x[107]+4*x[108])*q^7 + (x[100]+x[101]+x[105]+3*x[109]+4*x[110])*q^6 + (x[103]+x[108]+3*x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #40.2 : c = (1) |O_x_c^F| = 1/2*q^80*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,40,2] = (x[57]-x[59])*q^17 + (x[60]+x[61]+x[62]+x[63]-x[64]-x[66]+x[70]+x[71]+x[79]-x[95])*q^16 + (2*x[67]+3*x[68]+x[73]+2*x[75]+2*x[80]+x[81]+2*x[82]-x[85]+x[89]-x[99])*q^15 + (x[70]+2*x[71]+x[74]+x[76]+x[77]+3*x[79]+4*x[83]+3*x[84]+3*x[86]+x[90]+x[92]+2*x[93])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+3*x[82]+x[85]+2*x[88]+6*x[89]+x[91]+x[96]+4*x[97]+x[98])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+3*x[84]+x[86]+x[87]+2*x[90]+4*x[92]+4*x[93]+3*x[94]+x[100]+4*x[101]+2*x[102])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+5*x[97]+3*x[98]-x[99]+4*x[103])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+4*x[100]+3*x[101]+x[102]+x[105]+3*x[106]-x[109])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+3*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #40.3 : c = (12) |O_x_c^F| = 1/3*q^80*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,40,3] = (x[57]-x[58]+x[59])*q^17 + (x[60]+x[61]-x[65]+x[66]+x[70]+x[79]-x[83]+x[95])*q^16 + (x[67]+x[68]-x[73]+2*x[75]+x[80]+x[81]+x[99])*q^15 + (x[70]+x[71]+x[76]+x[77]+x[79]+2*x[83]+2*x[86]+x[90]+x[93]-x[94])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[88]+3*x[89]+x[91]+x[96]+2*x[97]-x[98]-x[103])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+2*x[92]+2*x[93]+x[94]+2*x[101]+x[102]-x[106])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+x[98]+2*x[103])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+x[100]+2*x[101]+x[105]+x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #41 : D5+A1 dim = 208 A(O) = 1 , |A(O)_0| = 1 g_s = V[14]+2*V[11]+5*V[10]+4*V[9]+3*V[8]+2*V[7]+V[6]+2*V[5]+4*V[4]+2*V[3]+2*V[2]+6*V[1]+6*V[0] Z_G(x)_0 = 2*A1 # Green Polys by orbit reps #41.1 : x[60] : D5+A1,[1] : phi[3200,16] Qxi[E8,41,1] = (x[60])*q^16 + (x[68]+x[75]+x[82])*q^15 + (x[71]+x[74]+x[76]+x[77]+x[79]+2*x[83]+x[84]+x[86]+x[92])*q^14 + (x[73]+x[75]+x[80]+2*x[82]+x[85]+2*x[88]+3*x[89]+x[91]+2*x[97]+x[98])*q^13 + (x[77]+x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[90]+3*x[92]+2*x[93]+2*x[94]+x[95]+x[100]+2*x[101]+2*x[102])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+x[96]+4*x[97]+2*x[98]+3*x[103]+x[107])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+3*x[100]+3*x[101]+x[102]+x[105]+2*x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #41.1 : c = () |O_x_c^F| = q^84*(q^2+1)*(q^4+1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,41,1] = (x[60])*q^16 + (x[68]+x[75]+x[82])*q^15 + (x[71]+x[74]+x[76]+x[77]+x[79]+2*x[83]+x[84]+x[86]+x[92])*q^14 + (x[73]+x[75]+x[80]+2*x[82]+x[85]+2*x[88]+3*x[89]+x[91]+2*x[97]+x[98])*q^13 + (x[77]+x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[90]+3*x[92]+2*x[93]+2*x[94]+x[95]+x[100]+2*x[101]+2*x[102])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+x[96]+4*x[97]+2*x[98]+3*x[103]+x[107])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+3*x[100]+3*x[101]+x[102]+x[105]+2*x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #42 : E8(a7) dim = 208 A(O) = S5 , |A(O)_0| = 6 g_s = 4*V[10]+6*V[8]+10*V[6]+10*V[4]+10*V[2] Z_G(x)_0 = 0 # Green Polys by orbit reps #42.1 : x[61] : E8(a7),[5] : phi[4480,16] Qxi[E8,42,1] = (x[61])*q^16 + (x[67]+x[68]+x[75])*q^15 + (x[70]+x[71]+x[76]+x[79]+x[83]+x[84]+x[86])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[88]+2*x[89]+x[97])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[84]+x[86]+x[87]+x[90]+x[92]+2*x[93]+x[94]+x[101]+x[102])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+2*x[97]+x[98]+x[103])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+x[100]+2*x[101]+x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #42.2 : x[62] : E8(a7),[4, 1] : phi[5670,18] Qxi[E8,42,2] = (x[62])*q^16 + (x[67]+x[68]+x[69]+x[82])*q^15 + (x[71]+x[74]+x[79]+x[83]+x[84]+x[86]+x[94])*q^14 + (x[73]+x[80]+x[82]+x[85]+x[88]+2*x[89]+x[97]+x[98])*q^13 + (x[78]+x[83]+x[84]+x[90]+x[92]+2*x[93]+x[94]+x[95]+x[100]+x[101]+x[102])*q^12 + (x[85]+x[89]+x[96]+2*x[97]+x[98]+x[103]+x[107])*q^11 + (x[92]+x[94]+2*x[100]+x[101]+x[106])*q^10 + (x[98]+2*x[103]+x[108])*q^9 + (x[100]+x[105]+x[106])*q^8 + (x[107]+x[108])*q^7 + (x[109]+x[110])*q^6 + (x[111])*q^5 #42.3 : x[63] : E8(a7),[3, 2] : phi[4536,18] Qxi[E8,42,3] = (x[63])*q^16 + (x[68]+x[73]+x[80])*q^15 + (x[74]+x[79]+x[83]+x[84]+x[93])*q^14 + (x[82]+x[85]+x[89]+x[97]+x[98])*q^13 + (x[84]+x[92]+x[94]+x[100]+x[101])*q^12 + (x[97]+x[98]+x[103])*q^11 + (x[100]+x[102]+x[106])*q^10 + (x[107]+x[108])*q^9 + (x[110])*q^8 #42.4 : x[64] : E8(a7),[3, 1, 1] : phi[1680,22] Qxi[E8,42,4] = (x[64])*q^16 + (x[69]+x[85])*q^15 + (x[74]+x[94])*q^14 + (x[85]+x[98])*q^13 + (x[95]+x[100])*q^12 + (x[99]+x[107])*q^11 + (x[109])*q^10 #42.5 : x[65] : E8(a7),[2, 2, 1] : phi[1400,20] Qxi[E8,42,5] = (x[65])*q^16 + (x[73])*q^15 + (x[84])*q^14 + (x[98])*q^13 + (x[106])*q^12 #42.6 : x[66] : E8(a7),[2, 1, 1, 1] : phi[70,32] Qxi[E8,42,6] = (x[66])*q^16 + (x[99])*q^15 # Green Polys by conj class in A(O) #42.1 : c = () |O_x_c^F| = 1/120*q^80*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,42,1] = (x[61]+4*x[62]+5*x[63]+6*x[64]+5*x[65]+4*x[66])*q^16 + (5*x[67]+10*x[68]+10*x[69]+10*x[73]+x[75]+5*x[80]+4*x[82]+6*x[85]+4*x[99])*q^15 + (x[70]+5*x[71]+15*x[74]+x[76]+10*x[79]+10*x[83]+15*x[84]+5*x[86]+5*x[93]+10*x[94])*q^14 + (5*x[73]+x[75]+5*x[80]+x[81]+10*x[82]+15*x[85]+5*x[88]+15*x[89]+10*x[97]+20*x[98])*q^13 + (x[77]+5*x[78]+x[79]+5*x[83]+10*x[84]+x[86]+x[87]+5*x[90]+10*x[92]+10*x[93]+10*x[94]+10*x[95]+15*x[100]+10*x[101]+5*x[102]+5*x[106])*q^12 + (x[81]+x[82]+4*x[85]+6*x[89]+x[91]+5*x[96]+15*x[97]+10*x[98]+6*x[99]+10*x[103]+10*x[107])*q^11 + (x[84]+x[86]+x[90]+6*x[92]+5*x[94]+14*x[100]+6*x[101]+5*x[102]+10*x[106]+6*x[109])*q^10 + (x[89]+x[91]+x[96]+x[97]+5*x[98]+10*x[103]+5*x[107]+10*x[108])*q^9 + (x[92]+x[93]+5*x[100]+x[101]+x[102]+x[104]+5*x[105]+5*x[106]+5*x[110])*q^8 + (x[96]+x[97]+x[103]+5*x[107]+5*x[108])*q^7 + (x[100]+x[101]+x[105]+4*x[109]+5*x[110])*q^6 + (x[103]+x[108]+4*x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #42.2 : c = (1) |O_x_c^F| = 1/12*q^80*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,42,2] = (x[61]+2*x[62]+x[63]-x[65]-2*x[66])*q^16 + (3*x[67]+4*x[68]+2*x[69]+x[75]+x[80]+2*x[82]-2*x[99])*q^15 + (x[70]+3*x[71]+3*x[74]+x[76]+4*x[79]+4*x[83]+3*x[84]+3*x[86]+x[93]+2*x[94])*q^14 + (3*x[73]+x[75]+3*x[80]+x[81]+4*x[82]+3*x[85]+3*x[88]+7*x[89]+4*x[97]+2*x[98])*q^13 + (x[77]+3*x[78]+x[79]+3*x[83]+4*x[84]+x[86]+x[87]+3*x[90]+4*x[92]+6*x[93]+4*x[94]+2*x[95]+3*x[100]+4*x[101]+3*x[102]-x[106])*q^12 + (x[81]+x[82]+2*x[85]+4*x[89]+x[91]+3*x[96]+7*x[97]+4*x[98]+4*x[103]+2*x[107])*q^11 + (x[84]+x[86]+x[90]+4*x[92]+3*x[94]+6*x[100]+4*x[101]+x[102]+4*x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+3*x[98]+6*x[103]+x[107]+4*x[108])*q^9 + (x[92]+x[93]+3*x[100]+x[101]+x[102]+x[104]+3*x[105]+3*x[106]+x[110])*q^8 + (x[96]+x[97]+x[103]+3*x[107]+3*x[108])*q^7 + (x[100]+x[101]+x[105]+2*x[109]+3*x[110])*q^6 + (x[103]+x[108]+2*x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #42.3 : c = (13) |O_x_c^F| = 1/8*q^80*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,42,3] = (x[61]+x[63]-2*x[64]+x[65])*q^16 + (x[67]+2*x[68]-2*x[69]+2*x[73]+x[75]+x[80]-2*x[85])*q^15 + (x[70]+x[71]-x[74]+x[76]+2*x[79]+2*x[83]+3*x[84]+x[86]+x[93]-2*x[94])*q^14 + (x[73]+x[75]+x[80]+x[81]+2*x[82]-x[85]+x[88]+3*x[89]+2*x[97])*q^13 + (x[77]+x[78]+x[79]+x[83]+2*x[84]+x[86]+x[87]+x[90]+2*x[92]+2*x[93]+2*x[94]-2*x[95]-x[100]+2*x[101]+x[102]+x[106])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+3*x[97]+2*x[98]-2*x[99]+2*x[103]-2*x[107])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[100]+2*x[101]+x[102]+2*x[106]-2*x[109])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #42.4 : c = (12) |O_x_c^F| = 1/6*q^80*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,42,4] = (x[61]+x[62]-x[63]-x[65]+x[66])*q^16 + (2*x[67]+x[68]+x[69]-2*x[73]+x[75]-x[80]+x[82]+x[99])*q^15 + (x[70]+2*x[71]+x[76]+x[79]+x[83]+2*x[86]-x[93]+x[94])*q^14 + (2*x[73]+x[75]+2*x[80]+x[81]+x[82]+2*x[88]+3*x[89]+x[97]-x[98])*q^13 + (x[77]+2*x[78]+x[79]+2*x[83]+x[84]+x[86]+x[87]+2*x[90]+x[92]+4*x[93]+x[94]+x[95]+x[101]+2*x[102]-x[106])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+3*x[97]+x[98]+x[103]+x[107])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+2*x[100]+3*x[101]-x[102]+x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]-x[107]+x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]-x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #42.5 : c = (124) |O_x_c^F| = 1/6*q^80*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,42,5] = (x[61]-x[62]+x[63]-x[65]+x[66])*q^16 + (x[68]-x[69]+x[75]+x[80]-x[82]+x[99])*q^15 + (x[70]+x[76]+x[79]+x[83]+x[93]-x[94])*q^14 + (x[75]+x[81]+x[82]+x[89]+x[97]-x[98])*q^13 + (x[77]+x[79]+x[84]+x[86]+x[87]+x[92]+x[94]-x[95]+x[101]-x[106])*q^12 + (x[81]+x[82]-x[85]+x[89]+x[91]+x[97]+x[98]+x[103]-x[107])*q^11 + (x[84]+x[86]+x[90]+x[92]+x[101]+x[102]+x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[107]+x[108])*q^9 + (x[92]+x[93]+x[101]+x[102]+x[104]+x[110])*q^8 + (x[96]+x[97]+x[103])*q^7 + (x[100]+x[101]+x[105]-x[109])*q^6 + (x[103]+x[108]-x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #42.6 : c = (123) |O_x_c^F| = 1/4*q^80*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,42,6] = (x[61]-x[63]+x[65])*q^16 + (x[67]+x[75]-x[80])*q^15 + (x[70]+x[71]-x[74]+x[76]+x[84]+x[86]-x[93])*q^14 + (x[73]+x[75]+x[80]+x[81]-x[85]+x[88]+x[89])*q^13 + (x[77]+x[78]+x[79]+x[83]+x[86]+x[87]+x[90]+2*x[93]-x[100]+x[102]+x[106])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+x[97])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[101]-x[102])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]-x[107])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]-x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #42.7 : c = (1234) |O_x_c^F| = 1/5*q^80*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,42,7] = (x[61]-x[62]+x[64]-x[66])*q^16 + (x[75]-x[82]+x[85]-x[99])*q^15 + (x[70]+x[76])*q^14 + (x[75]+x[81])*q^13 + (x[77]+x[79]+x[86]+x[87])*q^12 + (x[81]+x[82]-x[85]+x[89]+x[91]+x[99])*q^11 + (x[84]+x[86]+x[90]+x[92]-x[100]+x[101]+x[109])*q^10 + (x[89]+x[91]+x[96]+x[97])*q^9 + (x[92]+x[93]+x[101]+x[102]+x[104])*q^8 + (x[96]+x[97]+x[103])*q^7 + (x[100]+x[101]+x[105]-x[109])*q^6 + (x[103]+x[108]-x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #43 : A6 dim = 210 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[12]+5*V[10]+3*V[8]+13*V[6]+3*V[4]+5*V[2]+6*V[0] Z_G(x)_0 = 2*A1 # Green Polys by orbit reps #43.1 : x[67] : A6,[1] : phi[4200,15] Qxi[E8,43,1] = (x[67])*q^15 + (x[70]+x[71]+x[72]+x[79]+x[86])*q^14 + (x[73]+x[75]+2*x[80]+2*x[81]+x[82]+2*x[89])*q^13 + (x[77]+x[78]+x[79]+2*x[83]+x[84]+x[86]+x[87]+3*x[90]+x[92]+3*x[93]+x[94]+x[101])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+3*x[96]+3*x[97]+x[98]+x[103])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+2*x[100]+3*x[101]+x[104]+x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #43.1 : c = () |O_x_c^F| = q^86*(q^2+1)*(q^4+1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,43,1] = (x[67])*q^15 + (x[70]+x[71]+x[72]+x[79]+x[86])*q^14 + (x[73]+x[75]+2*x[80]+2*x[81]+x[82]+2*x[89])*q^13 + (x[77]+x[78]+x[79]+2*x[83]+x[84]+x[86]+x[87]+3*x[90]+x[92]+3*x[93]+x[94]+x[101])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+3*x[96]+3*x[97]+x[98]+x[103])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+2*x[100]+3*x[101]+x[104]+x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #44 : D6(a1) dim = 210 A(O) = S2 , |A(O)_0| = 2 g_s = V[14]+4*V[11]+2*V[10]+4*V[9]+5*V[8]+2*V[6]+4*V[5]+4*V[3]+6*V[2]+6*V[0] Z_G(x)_0 = 2*A1 # Green Polys by orbit reps #44.1 : x[68] : D6(a1),[2] : phi[5600,15] Qxi[E8,44,1] = (x[68])*q^15 + (x[71]+x[74]+x[79]+x[83]+x[84])*q^14 + (x[73]+x[75]+x[80]+2*x[82]+x[85]+x[88]+2*x[89]+x[97]+x[98])*q^13 + (x[77]+x[78]+x[79]+2*x[83]+2*x[84]+x[86]+x[90]+2*x[92]+2*x[93]+2*x[94]+x[95]+x[100]+x[101]+x[102])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+x[96]+4*x[97]+2*x[98]+2*x[103]+x[107])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+3*x[100]+3*x[101]+x[102]+2*x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[107]+2*x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106]+x[110])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #44.2 : x[69] : D6(a1),[1, 1] : phi[2400,17] Qxi[E8,44,2] = (x[69])*q^15 + (x[71]+x[74]+x[94])*q^14 + (x[73]+x[80]+x[82]+x[85]+x[89]+x[98])*q^13 + (x[78]+x[83]+x[84]+x[90]+x[92]+2*x[93]+x[94]+x[95]+x[100])*q^12 + (x[85]+x[89]+x[96]+2*x[97]+x[98]+x[99]+x[103]+x[107])*q^11 + (x[92]+x[94]+2*x[100]+x[101]+x[106]+x[109])*q^10 + (x[98]+2*x[103]+x[108])*q^9 + (x[100]+x[105]+x[106])*q^8 + (x[107]+x[108])*q^7 + (x[109]+x[110])*q^6 + (x[111])*q^5 # Green Polys by conj class in A(O) #44.1 : c = () |O_x_c^F| = 1/2*q^86*(q^2+1)*(q^4+1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,44,1] = (x[68]+x[69])*q^15 + (2*x[71]+2*x[74]+x[79]+x[83]+x[84]+x[94])*q^14 + (2*x[73]+x[75]+2*x[80]+3*x[82]+2*x[85]+x[88]+3*x[89]+x[97]+2*x[98])*q^13 + (x[77]+2*x[78]+x[79]+3*x[83]+3*x[84]+x[86]+2*x[90]+3*x[92]+4*x[93]+3*x[94]+2*x[95]+2*x[100]+x[101]+x[102])*q^12 + (x[81]+x[82]+2*x[85]+4*x[89]+x[91]+2*x[96]+6*x[97]+3*x[98]+x[99]+3*x[103]+2*x[107])*q^11 + (x[84]+x[86]+x[90]+4*x[92]+3*x[94]+5*x[100]+4*x[101]+x[102]+3*x[106]+x[109])*q^10 + (x[89]+x[91]+x[96]+x[97]+3*x[98]+6*x[103]+x[107]+3*x[108])*q^9 + (x[92]+x[93]+3*x[100]+x[101]+x[102]+x[104]+3*x[105]+3*x[106]+x[110])*q^8 + (x[96]+x[97]+x[103]+3*x[107]+3*x[108])*q^7 + (x[100]+x[101]+x[105]+2*x[109]+3*x[110])*q^6 + (x[103]+x[108]+2*x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #44.2 : c = (1) |O_x_c^F| = 1/2*q^86*(q^2-1)*(q^4+1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,44,2] = (x[68]-x[69])*q^15 + (x[79]+x[83]+x[84]-x[94])*q^14 + (x[75]+x[82]+x[88]+x[89]+x[97])*q^13 + (x[77]+x[79]+x[83]+x[84]+x[86]+x[92]+x[94]+x[101]+x[102])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+2*x[97]+x[98]-x[99]+x[103])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+x[100]+2*x[101]+x[102]+x[106]-x[109])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103]+x[107]+x[108])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106]+x[110])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #45 : A6+A1 dim = 212 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[12]+2*V[11]+V[10]+2*V[9]+3*V[8]+4*V[7]+5*V[6]+4*V[5]+3*V[4]+2*V[3]+2*V[2]+2*V[1]+3*V[0] Z_G(x)_0 = A1 # Green Polys by orbit reps #45.1 : x[70] : A6+A1,[1] : phi[2835,14] Qxi[E8,45,1] = (x[70])*q^14 + (x[75]+x[80]+x[81])*q^13 + (x[77]+x[79]+x[83]+x[86]+x[87]+x[90]+x[93])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+x[97])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[101])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #45.1 : c = () |O_x_c^F| = q^86*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,45,1] = (x[70])*q^14 + (x[75]+x[80]+x[81])*q^13 + (x[77]+x[79]+x[83]+x[86]+x[87]+x[90]+x[93])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[96]+x[97])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[101])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #46 : E7(a4) dim = 212 A(O) = S2 , |A(O)_0| = 2 g_s = V[14]+V[12]+2*V[11]+4*V[10]+4*V[9]+2*V[8]+2*V[7]+3*V[6]+2*V[5]+2*V[4]+4*V[3]+4*V[2]+2*V[1]+3*V[0] Z_G(x)_0 = A1 # Green Polys by orbit reps #46.1 : x[71] : E7(a4),[2] : phi[6075,14] Qxi[E8,46,1] = (x[71])*q^14 + (x[73]+x[75]+x[80]+x[82]+x[89])*q^13 + (x[77]+x[78]+x[79]+2*x[83]+x[84]+x[86]+x[90]+x[92]+2*x[93]+x[94])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+x[96]+3*x[97]+x[98]+x[103])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+2*x[100]+3*x[101]+x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #46.2 : x[72] : E7(a4),[1, 1] : phi[700,16] Qxi[E8,46,2] = (x[72])*q^14 + (x[81])*q^13 + (x[90])*q^12 + (x[96])*q^11 + (x[104])*q^10 # Green Polys by conj class in A(O) #46.1 : c = () |O_x_c^F| = 1/2*q^86*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,46,1] = (x[71]+x[72])*q^14 + (x[73]+x[75]+x[80]+x[81]+x[82]+x[89])*q^13 + (x[77]+x[78]+x[79]+2*x[83]+x[84]+x[86]+2*x[90]+x[92]+2*x[93]+x[94])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+2*x[96]+3*x[97]+x[98]+x[103])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+2*x[100]+3*x[101]+x[104]+x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #46.2 : c = (1) |O_x_c^F| = 1/2*q^86*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,46,2] = (x[71]-x[72])*q^14 + (x[73]+x[75]+x[80]-x[81]+x[82]+x[89])*q^13 + (x[77]+x[78]+x[79]+2*x[83]+x[84]+x[86]+x[92]+2*x[93]+x[94])*q^12 + (x[81]+x[82]+x[85]+3*x[89]+x[91]+3*x[97]+x[98]+x[103])*q^11 + (x[84]+x[86]+x[90]+3*x[92]+2*x[94]+2*x[100]+3*x[101]-x[104]+x[106])*q^10 + (x[89]+x[91]+x[96]+x[97]+2*x[98]+4*x[103]+x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[104]+2*x[105]+2*x[106])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #47 : E6(a1) dim = 214 A(O) = S2 , |A(O)_0| = 2 g_s = V[16]+V[14]+6*V[12]+2*V[10]+7*V[8]+V[6]+7*V[4]+V[2]+8*V[0] Z_G(x)_0 = A2 # Green Polys by orbit reps #47.1 : x[73] : E6(a1),[2] : phi[2800,13] Qxi[E8,47,1] = (x[73])*q^13 + (x[78]+x[83]+x[84]+x[93])*q^12 + (x[82]+x[85]+x[89]+2*x[97]+x[98])*q^11 + (x[84]+x[86]+2*x[92]+2*x[94]+2*x[100]+x[101]+x[106])*q^10 + (x[89]+x[91]+x[97]+2*x[98]+3*x[103]+x[108])*q^9 + (x[92]+x[93]+2*x[100]+x[101]+x[102]+x[105]+2*x[106])*q^8 + (x[96]+x[97]+x[103]+2*x[107]+2*x[108])*q^7 + (x[100]+x[101]+x[105]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[111])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #47.2 : x[74] : E6(a1),[1, 1] : phi[2100,16] Qxi[E8,47,2] = (x[74])*q^13 + (x[82]+x[85]+x[98])*q^12 + (x[83]+x[84]+x[92]+x[94]+x[95]+x[100])*q^11 + (x[85]+x[88]+x[89]+2*x[97]+x[98]+x[99]+x[103]+x[107])*q^10 + (x[92]+x[94]+x[95]+2*x[100]+x[101]+2*x[102]+x[106]+x[109])*q^9 + (x[98]+2*x[103]+2*x[107]+x[108])*q^8 + (x[100]+x[105]+x[106]+x[110])*q^7 + (x[107]+x[108])*q^6 + (x[109]+x[110])*q^5 + (x[111])*q^4 # Green Polys by conj class in A(O) #47.1 : c = () |O_x_c^F| = 1/2*q^91*(q^3+1)*(q^6+1)*(q^8-1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,47,1] = (x[73]+x[74])*q^13 + (x[78]+x[82]+x[83]+x[84]+x[85]+x[93]+x[98])*q^12 + (x[82]+x[83]+x[84]+x[85]+x[89]+x[92]+x[94]+x[95]+2*x[97]+x[98]+x[100])*q^11 + (x[84]+x[85]+x[86]+x[88]+x[89]+2*x[92]+2*x[94]+2*x[97]+x[98]+x[99]+2*x[100]+x[101]+x[103]+x[106]+x[107])*q^10 + (x[89]+x[91]+x[92]+x[94]+x[95]+x[97]+2*x[98]+2*x[100]+x[101]+2*x[102]+3*x[103]+x[106]+x[108]+x[109])*q^9 + (x[92]+x[93]+x[98]+2*x[100]+x[101]+x[102]+2*x[103]+x[105]+2*x[106]+2*x[107]+x[108])*q^8 + (x[96]+x[97]+x[100]+x[103]+x[105]+x[106]+2*x[107]+2*x[108]+x[110])*q^7 + (x[100]+x[101]+x[105]+x[107]+x[108]+x[109]+2*x[110])*q^6 + (x[103]+x[108]+x[109]+x[110]+x[111])*q^5 + (x[105]+x[106]+x[111])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #47.2 : c = (1) |O_x_c^F| = 1/2*q^91*(q^3-1)*(q^6+1)*(q^8-1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,47,2] = (x[73]-x[74])*q^13 + (x[78]-x[82]+x[83]+x[84]-x[85]+x[93]-x[98])*q^12 + (x[82]-x[83]-x[84]+x[85]+x[89]-x[92]-x[94]-x[95]+2*x[97]+x[98]-x[100])*q^11 + (x[84]-x[85]+x[86]-x[88]-x[89]+2*x[92]+2*x[94]-2*x[97]-x[98]-x[99]+2*x[100]+x[101]-x[103]+x[106]-x[107])*q^10 + (x[89]+x[91]-x[92]-x[94]-x[95]+x[97]+2*x[98]-2*x[100]-x[101]-2*x[102]+3*x[103]-x[106]+x[108]-x[109])*q^9 + (x[92]+x[93]-x[98]+2*x[100]+x[101]+x[102]-2*x[103]+x[105]+2*x[106]-2*x[107]-x[108])*q^8 + (x[96]+x[97]-x[100]+x[103]-x[105]-x[106]+2*x[107]+2*x[108]-x[110])*q^7 + (x[100]+x[101]+x[105]-x[107]-x[108]+x[109]+2*x[110])*q^6 + (x[103]+x[108]-x[109]-x[110]+x[111])*q^5 + (x[105]+x[106]-x[111])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #48 : D5+A2 dim = 214 A(O) = S2 , |A(O)_0| = 2 g_s = V[14]+2*V[12]+7*V[10]+5*V[8]+5*V[6]+5*V[4]+8*V[2]+V[0] Z_G(x)_0 = T1 # Green Polys by orbit reps #48.1 : x[75] : D5+A2,[2] : phi[4536,13] Qxi[E8,48,1] = (x[75])*q^13 + (x[77]+x[79]+x[83]+x[86])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[97])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[101])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #48.2 : x[76] : D5+A2,[1, 1] : phi[840,14] Qxi[E8,48,2] = (x[76])*q^13 + (x[88])*q^12 + (x[102])*q^11 # Green Polys by conj class in A(O) #48.1 : c = () |O_x_c^F| = 1/2*q^87*(q+1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,48,1] = (x[75]+x[76])*q^13 + (x[77]+x[79]+x[83]+x[86]+x[88])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[97]+x[102])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[101])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #48.2 : c = (1) |O_x_c^F| = 1/2*q^87*(q-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,48,2] = (x[75]-x[76])*q^13 + (x[77]+x[79]+x[83]+x[86]-x[88])*q^12 + (x[81]+x[82]+2*x[89]+x[91]+x[97]-x[102])*q^11 + (x[84]+x[86]+x[90]+2*x[92]+x[94]+2*x[101])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+2*x[103])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #49 : D6 dim = 216 A(O) = 1 , |A(O)_0| = 1 g_s = V[18]+4*V[15]+V[14]+6*V[10]+4*V[9]+V[6]+4*V[5]+V[2]+10*V[0] Z_G(x)_0 = B2 # Green Polys by orbit reps #49.1 : x[77] : D6,[1] : phi[972,12] Qxi[E8,49,1] = (x[77])*q^12 + (x[89])*q^11 + (x[84]+x[90]+x[92]+x[101])*q^10 + (x[89]+x[96]+x[97]+x[98]+x[103])*q^9 + (x[92]+x[93]+x[94]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106])*q^8 + (x[96]+x[97]+x[98]+2*x[103]+x[107]+x[108])*q^7 + (2*x[100]+x[101]+x[105]+x[106]+x[110])*q^6 + (x[103]+x[107]+2*x[108])*q^5 + (x[105]+x[106]+x[109]+x[110])*q^4 + (x[108]+x[111])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #49.1 : c = () |O_x_c^F| = q^94*(q^4+1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,49,1] = (x[77])*q^12 + (x[89])*q^11 + (x[84]+x[90]+x[92]+x[101])*q^10 + (x[89]+x[96]+x[97]+x[98]+x[103])*q^9 + (x[92]+x[93]+x[94]+x[100]+x[101]+x[102]+x[104]+x[105]+x[106])*q^8 + (x[96]+x[97]+x[98]+2*x[103]+x[107]+x[108])*q^7 + (2*x[100]+x[101]+x[105]+x[106]+x[110])*q^6 + (x[103]+x[107]+2*x[108])*q^5 + (x[105]+x[106]+x[109]+x[110])*q^4 + (x[108]+x[111])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #50 : E6 dim = 216 A(O) = 1 , |A(O)_0| = 1 g_s = V[22]+7*V[16]+V[14]+V[10]+7*V[8]+V[2]+14*V[0] Z_G(x)_0 = G2 # Green Polys by orbit reps #50.1 : x[78] : E6,[1] : phi[525,12] Qxi[E8,50,1] = (x[78])*q^12 + (x[97])*q^11 + (x[92]+x[100])*q^10 + (x[91]+x[98]+x[103]+x[108])*q^9 + (x[92]+x[100]+x[105]+x[106])*q^8 + (x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[102]+x[105]+x[109]+x[110])*q^6 + (x[103]+x[107]+x[108]+x[111])*q^5 + (x[105]+x[106]+x[110])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #50.1 : c = () |O_x_c^F| = q^96*(q^6+1)*(q^8-1)*(q^12+1)*(q^12-1)*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,50,1] = (x[78])*q^12 + (x[97])*q^11 + (x[92]+x[100])*q^10 + (x[91]+x[98]+x[103]+x[108])*q^9 + (x[92]+x[100]+x[105]+x[106])*q^8 + (x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[102]+x[105]+x[109]+x[110])*q^6 + (x[103]+x[107]+x[108]+x[111])*q^5 + (x[105]+x[106]+x[110])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #51 : D7(a2) dim = 216 A(O) = S2 , |A(O)_0| = 2 g_s = V[14]+2*V[13]+V[12]+2*V[11]+2*V[10]+2*V[9]+3*V[8]+4*V[7]+3*V[6]+2*V[5]+3*V[4]+2*V[3]+2*V[2]+2*V[1]+V[0] Z_G(x)_0 = T1 # Green Polys by orbit reps #51.1 : x[79] : D7(a2),[2] : phi[4200,12] Qxi[E8,51,1] = (x[79])*q^12 + (x[81]+x[82]+x[89])*q^11 + (x[84]+x[86]+x[90]+x[92]+x[94]+x[101])*q^10 + (x[89]+x[91]+x[96]+x[97]+x[98]+x[103])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[104]+x[106])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #51.2 : x[80] : D7(a2),[1, 1] : phi[3360,13] Qxi[E8,51,2] = (x[80])*q^12 + (x[83]+x[90]+x[93])*q^11 + (x[85]+x[89]+x[96]+x[97])*q^10 + (x[92]+x[94]+x[100]+x[101])*q^9 + (x[98]+2*x[103])*q^8 + (x[100]+x[105]+x[106])*q^7 + (x[107]+x[108])*q^6 + (x[109]+x[110])*q^5 + (x[111])*q^4 # Green Polys by conj class in A(O) #51.1 : c = () |O_x_c^F| = 1/2*q^89*(q+1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,51,1] = (x[79]+x[80])*q^12 + (x[81]+x[82]+x[83]+x[89]+x[90]+x[93])*q^11 + (x[84]+x[85]+x[86]+x[89]+x[90]+x[92]+x[94]+x[96]+x[97]+x[101])*q^10 + (x[89]+x[91]+x[92]+x[94]+x[96]+x[97]+x[98]+x[100]+x[101]+x[103])*q^9 + (x[92]+x[93]+x[98]+x[100]+x[101]+x[102]+2*x[103]+x[104]+x[106])*q^8 + (x[96]+x[97]+x[100]+x[103]+x[105]+x[106]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[107]+x[108]+x[110])*q^6 + (x[103]+x[108]+x[109]+x[110])*q^5 + (x[105]+x[106]+x[111])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #51.2 : c = (1) |O_x_c^F| = 1/2*q^89*(q-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,51,2] = (x[79]-x[80])*q^12 + (x[81]+x[82]-x[83]+x[89]-x[90]-x[93])*q^11 + (x[84]-x[85]+x[86]-x[89]+x[90]+x[92]+x[94]-x[96]-x[97]+x[101])*q^10 + (x[89]+x[91]-x[92]-x[94]+x[96]+x[97]+x[98]-x[100]-x[101]+x[103])*q^9 + (x[92]+x[93]-x[98]+x[100]+x[101]+x[102]-2*x[103]+x[104]+x[106])*q^8 + (x[96]+x[97]-x[100]+x[103]-x[105]-x[106]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]-x[107]-x[108]+x[110])*q^6 + (x[103]+x[108]-x[109]-x[110])*q^5 + (x[105]+x[106]-x[111])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #52 : A7 dim = 218 A(O) = 1 , |A(O)_0| = 1 g_s = 2*V[15]+V[14]+3*V[12]+2*V[11]+V[10]+2*V[9]+3*V[8]+4*V[7]+V[6]+2*V[5]+3*V[4]+2*V[3]+V[2]+3*V[0] Z_G(x)_0 = A1 # Green Polys by orbit reps #52.1 : x[81] : A7,[1] : phi[1400,11] Qxi[E8,52,1] = (x[81])*q^11 + (x[86]+x[87]+x[90])*q^10 + (x[89]+x[91]+x[96])*q^9 + (x[92]+x[93]+x[101]+x[104])*q^8 + (x[96]+x[97]+x[103])*q^7 + (x[100]+x[101]+x[105])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #52.1 : c = () |O_x_c^F| = q^92*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,52,1] = (x[81])*q^11 + (x[86]+x[87]+x[90])*q^10 + (x[89]+x[91]+x[96])*q^9 + (x[92]+x[93]+x[101]+x[104])*q^8 + (x[96]+x[97]+x[103])*q^7 + (x[100]+x[101]+x[105])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #53 : E6(a1)+A1 dim = 218 A(O) = S2 , |A(O)_0| = 2 g_s = V[16]+V[14]+2*V[13]+2*V[12]+2*V[11]+2*V[10]+2*V[9]+3*V[8]+2*V[7]+V[6]+2*V[5]+3*V[4]+2*V[3]+2*V[2]+2*V[1]+V[0] Z_G(x)_0 = T1 # Green Polys by orbit reps #53.1 : x[82] : E6(a1)+A1,[2] : phi[4096,11] Qxi[E8,53,1] = (x[82])*q^11 + (x[84]+x[86]+x[92]+x[94])*q^10 + (x[89]+x[91]+x[97]+x[98]+x[103])*q^9 + (x[92]+x[93]+x[100]+x[101]+x[102]+x[106])*q^8 + (x[96]+x[97]+x[103]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[110])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #53.2 : x[83] : E6(a1)+A1,[1, 1] : phi[4096,12] Qxi[E8,53,2] = (x[83])*q^11 + (x[85]+x[88]+x[89]+x[97])*q^10 + (x[92]+x[94]+x[95]+x[100]+x[101]+x[102])*q^9 + (x[98]+2*x[103]+x[107])*q^8 + (x[100]+x[105]+x[106])*q^7 + (x[107]+x[108])*q^6 + (x[109]+x[110])*q^5 + (x[111])*q^4 # Green Polys by conj class in A(O) #53.1 : c = () |O_x_c^F| = 1/2*q^91*(q+1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,53,1] = (x[82]+x[83])*q^11 + (x[84]+x[85]+x[86]+x[88]+x[89]+x[92]+x[94]+x[97])*q^10 + (x[89]+x[91]+x[92]+x[94]+x[95]+x[97]+x[98]+x[100]+x[101]+x[102]+x[103])*q^9 + (x[92]+x[93]+x[98]+x[100]+x[101]+x[102]+2*x[103]+x[106]+x[107])*q^8 + (x[96]+x[97]+x[100]+x[103]+x[105]+x[106]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]+x[107]+x[108]+x[110])*q^6 + (x[103]+x[108]+x[109]+x[110])*q^5 + (x[105]+x[106]+x[111])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #53.2 : c = (1) |O_x_c^F| = 1/2*q^91*(q-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,53,2] = (x[82]-x[83])*q^11 + (x[84]-x[85]+x[86]-x[88]-x[89]+x[92]+x[94]-x[97])*q^10 + (x[89]+x[91]-x[92]-x[94]-x[95]+x[97]+x[98]-x[100]-x[101]-x[102]+x[103])*q^9 + (x[92]+x[93]-x[98]+x[100]+x[101]+x[102]-2*x[103]+x[106]-x[107])*q^8 + (x[96]+x[97]-x[100]+x[103]-x[105]-x[106]+x[107]+x[108])*q^7 + (x[100]+x[101]+x[105]-x[107]-x[108]+x[110])*q^6 + (x[103]+x[108]-x[109]-x[110])*q^5 + (x[105]+x[106]-x[111])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #54 : E7(a3) dim = 220 A(O) = S2 , |A(O)_0| = 2 g_s = V[18]+V[16]+2*V[15]+2*V[14]+2*V[11]+3*V[10]+4*V[9]+V[8]+2*V[6]+2*V[5]+V[4]+2*V[2]+2*V[1]+3*V[0] Z_G(x)_0 = A1 # Green Polys by orbit reps #54.1 : x[84] : E7(a3),[2] : phi[2268,10] Qxi[E8,54,1] = (x[84])*q^10 + (x[89]+x[97]+x[98])*q^9 + (x[92]+x[93]+x[94]+x[100]+x[101]+x[102]+x[106])*q^8 + (x[96]+x[97]+x[98]+2*x[103]+x[107]+x[108])*q^7 + (2*x[100]+x[101]+x[105]+x[106]+x[110])*q^6 + (x[103]+x[107]+2*x[108])*q^5 + (x[105]+x[106]+x[109]+x[110])*q^4 + (x[108]+x[111])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #54.2 : x[85] : E7(a3),[1, 1] : phi[1296,13] Qxi[E8,54,2] = (x[85])*q^10 + (x[94]+x[95]+x[100])*q^9 + (x[98]+x[99]+x[103]+x[107])*q^8 + (x[100]+x[106]+x[109])*q^7 + (x[107]+x[108])*q^6 + (x[109]+x[110])*q^5 + (x[111])*q^4 # Green Polys by conj class in A(O) #54.1 : c = () |O_x_c^F| = 1/2*q^94*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,54,1] = (x[84]+x[85])*q^10 + (x[89]+x[94]+x[95]+x[97]+x[98]+x[100])*q^9 + (x[92]+x[93]+x[94]+x[98]+x[99]+x[100]+x[101]+x[102]+x[103]+x[106]+x[107])*q^8 + (x[96]+x[97]+x[98]+x[100]+2*x[103]+x[106]+x[107]+x[108]+x[109])*q^7 + (2*x[100]+x[101]+x[105]+x[106]+x[107]+x[108]+x[110])*q^6 + (x[103]+x[107]+2*x[108]+x[109]+x[110])*q^5 + (x[105]+x[106]+x[109]+x[110]+x[111])*q^4 + (x[108]+x[111])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #54.2 : c = (1) |O_x_c^F| = 1/2*q^94*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,54,2] = (x[84]-x[85])*q^10 + (x[89]-x[94]-x[95]+x[97]+x[98]-x[100])*q^9 + (x[92]+x[93]+x[94]-x[98]-x[99]+x[100]+x[101]+x[102]-x[103]+x[106]-x[107])*q^8 + (x[96]+x[97]+x[98]-x[100]+2*x[103]-x[106]+x[107]+x[108]-x[109])*q^7 + (2*x[100]+x[101]+x[105]+x[106]-x[107]-x[108]+x[110])*q^6 + (x[103]+x[107]+2*x[108]-x[109]-x[110])*q^5 + (x[105]+x[106]+x[109]+x[110]-x[111])*q^4 + (x[108]+x[111])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #55 : E8(b6) dim = 220 A(O) = S3 , |A(O)_0| = 3 g_s = V[16]+3*V[14]+2*V[12]+6*V[10]+3*V[8]+5*V[6]+4*V[4]+4*V[2] Z_G(x)_0 = 0 # Green Polys by orbit reps #55.1 : x[86] : E8(b6),[3] : phi[2240,10] Qxi[E8,55,1] = (x[86])*q^10 + (x[89]+x[91])*q^9 + (x[92]+x[93]+x[101])*q^8 + (x[96]+x[97]+x[103])*q^7 + (x[100]+x[101]+x[105])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #55.2 : x[87] : E8(b6),[2, 1] : phi[175,12] Qxi[E8,55,2] = (x[87])*q^10 #55.3 : x[88] : E8(b6),[1, 1, 1] : phi[840,13] Qxi[E8,55,3] = (x[88])*q^10 + (x[95]+x[102])*q^9 + (x[107])*q^8 # Green Polys by conj class in A(O) #55.1 : c = () |O_x_c^F| = 1/6*q^92*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,55,1] = (x[86]+2*x[87]+x[88])*q^10 + (x[89]+x[91]+x[95]+x[102])*q^9 + (x[92]+x[93]+x[101]+x[107])*q^8 + (x[96]+x[97]+x[103])*q^7 + (x[100]+x[101]+x[105])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #55.2 : c = (1) |O_x_c^F| = 1/2*q^92*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,55,2] = (x[86]-x[88])*q^10 + (x[89]+x[91]-x[95]-x[102])*q^9 + (x[92]+x[93]+x[101]-x[107])*q^8 + (x[96]+x[97]+x[103])*q^7 + (x[100]+x[101]+x[105])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #55.3 : c = (12) |O_x_c^F| = 1/3*q^92*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,55,3] = (x[86]-x[87]+x[88])*q^10 + (x[89]+x[91]+x[95]+x[102])*q^9 + (x[92]+x[93]+x[101]+x[107])*q^8 + (x[96]+x[97]+x[103])*q^7 + (x[100]+x[101]+x[105])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #56 : D7(a1) dim = 222 A(O) = S2 , |A(O)_0| = 2 g_s = V[18]+2*V[16]+3*V[14]+V[12]+6*V[10]+3*V[8]+3*V[6]+2*V[4]+4*V[2]+V[0] Z_G(x)_0 = T1 # Green Polys by orbit reps #56.1 : x[89] : D7(a1),[2] : phi[3240,9] Qxi[E8,56,1] = (x[89])*q^9 + (x[92]+x[93]+x[94]+x[101])*q^8 + (x[96]+x[97]+x[98]+2*x[103])*q^7 + (2*x[100]+x[101]+x[105]+x[106])*q^6 + (x[103]+x[107]+2*x[108])*q^5 + (x[105]+x[106]+x[109]+x[110])*q^4 + (x[108]+x[111])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #56.2 : x[90] : D7(a1),[1, 1] : phi[1050,10] Qxi[E8,56,2] = (x[90])*q^9 + (x[96])*q^8 + (x[104])*q^7 # Green Polys by conj class in A(O) #56.1 : c = () |O_x_c^F| = 1/2*q^95*(q+1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,56,1] = (x[89]+x[90])*q^9 + (x[92]+x[93]+x[94]+x[96]+x[101])*q^8 + (x[96]+x[97]+x[98]+2*x[103]+x[104])*q^7 + (2*x[100]+x[101]+x[105]+x[106])*q^6 + (x[103]+x[107]+2*x[108])*q^5 + (x[105]+x[106]+x[109]+x[110])*q^4 + (x[108]+x[111])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #56.2 : c = (1) |O_x_c^F| = 1/2*q^95*(q-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,56,2] = (x[89]-x[90])*q^9 + (x[92]+x[93]+x[94]-x[96]+x[101])*q^8 + (x[96]+x[97]+x[98]+2*x[103]-x[104])*q^7 + (2*x[100]+x[101]+x[105]+x[106])*q^6 + (x[103]+x[107]+2*x[108])*q^5 + (x[105]+x[106]+x[109]+x[110])*q^4 + (x[108]+x[111])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #57 : E6+A1 dim = 222 A(O) = 1 , |A(O)_0| = 1 g_s = V[22]+2*V[17]+3*V[16]+2*V[15]+V[14]+V[10]+2*V[9]+3*V[8]+2*V[7]+2*V[2]+4*V[1]+3*V[0] Z_G(x)_0 = A1 # Green Polys by orbit reps #57.1 : x[91] : E6+A1,[1] : phi[448,9] Qxi[E8,57,1] = (x[91])*q^9 + (x[92])*q^8 + (x[97]+x[103])*q^7 + (x[100]+x[101]+x[102]+x[105])*q^6 + (x[103]+x[107]+x[108])*q^5 + (x[105]+x[106]+x[110])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #57.1 : c = () |O_x_c^F| = q^96*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,57,1] = (x[91])*q^9 + (x[92])*q^8 + (x[97]+x[103])*q^7 + (x[100]+x[101]+x[102]+x[105])*q^6 + (x[103]+x[107]+x[108])*q^5 + (x[105]+x[106]+x[110])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #58 : E7(a2) dim = 224 A(O) = 1 , |A(O)_0| = 1 g_s = V[22]+V[18]+2*V[17]+V[16]+2*V[15]+2*V[14]+2*V[10]+2*V[9]+V[8]+2*V[7]+V[6]+2*V[3]+2*V[2]+3*V[0] Z_G(x)_0 = A1 # Green Polys by orbit reps #58.1 : x[92] : E7(a2),[1] : phi[1344,8] Qxi[E8,58,1] = (x[92])*q^8 + (x[97]+x[98]+x[103])*q^7 + (2*x[100]+x[101]+x[102]+x[105]+x[106])*q^6 + (x[103]+2*x[107]+2*x[108])*q^5 + (x[105]+x[106]+x[109]+2*x[110])*q^4 + (x[108]+x[111])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #58.1 : c = () |O_x_c^F| = q^98*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,58,1] = (x[92])*q^8 + (x[97]+x[98]+x[103])*q^7 + (2*x[100]+x[101]+x[102]+x[105]+x[106])*q^6 + (x[103]+2*x[107]+2*x[108])*q^5 + (x[105]+x[106]+x[109]+2*x[110])*q^4 + (x[108]+x[111])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #59 : E8(a6) dim = 224 A(O) = S3 , |A(O)_0| = 3 g_s = 2*V[18]+V[16]+3*V[14]+3*V[12]+3*V[10]+3*V[8]+5*V[6]+V[4]+3*V[2] Z_G(x)_0 = 0 # Green Polys by orbit reps #59.1 : x[93] : E8(a6),[3] : phi[1400,8] Qxi[E8,59,1] = (x[93])*q^8 + (x[96]+x[97])*q^7 + (x[100]+x[101])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #59.2 : x[94] : E8(a6),[2, 1] : phi[1575,10] Qxi[E8,59,2] = (x[94])*q^8 + (x[98]+x[103])*q^7 + (x[100]+x[106])*q^6 + (x[107]+x[108])*q^5 + (x[109]+x[110])*q^4 + (x[111])*q^3 #59.3 : x[95] : E8(a6),[1, 1, 1] : phi[350,14] Qxi[E8,59,3] = (x[95])*q^8 + (x[99]+x[107])*q^7 + (x[109])*q^6 # Green Polys by conj class in A(O) #59.1 : c = () |O_x_c^F| = 1/6*q^96*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,59,1] = (x[93]+2*x[94]+x[95])*q^8 + (x[96]+x[97]+2*x[98]+x[99]+2*x[103]+x[107])*q^7 + (3*x[100]+x[101]+2*x[106]+x[109])*q^6 + (x[103]+2*x[107]+3*x[108])*q^5 + (x[105]+x[106]+2*x[109]+2*x[110])*q^4 + (x[108]+2*x[111])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #59.2 : c = (1) |O_x_c^F| = 1/2*q^96*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,59,2] = (x[93]-x[95])*q^8 + (x[96]+x[97]-x[99]-x[107])*q^7 + (x[100]+x[101]-x[109])*q^6 + (x[103]+x[108])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #59.3 : c = (12) |O_x_c^F| = 1/3*q^96*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,59,3] = (x[93]-x[94]+x[95])*q^8 + (x[96]+x[97]-x[98]+x[99]-x[103]+x[107])*q^7 + (x[101]-x[106]+x[109])*q^6 + (x[103]-x[107])*q^5 + (x[105]+x[106]-x[109]-x[110])*q^4 + (x[108]-x[111])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #60 : D7 dim = 226 A(O) = 1 , |A(O)_0| = 1 g_s = V[22]+2*V[21]+V[18]+2*V[15]+V[14]+3*V[12]+2*V[11]+V[10]+2*V[9]+V[6]+2*V[3]+V[2]+3*V[0] Z_G(x)_0 = A1 # Green Polys by orbit reps #60.1 : x[96] : D7,[1] : phi[400,7] Qxi[E8,60,1] = (x[96])*q^7 + (x[101]+x[104])*q^6 + (x[103])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #60.1 : c = () |O_x_c^F| = q^100*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,60,1] = (x[96])*q^7 + (x[101]+x[104])*q^6 + (x[103])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #61 : E8(b5) dim = 226 A(O) = S3 , |A(O)_0| = 3 g_s = V[22]+2*V[18]+3*V[16]+3*V[14]+3*V[10]+3*V[8]+2*V[6]+V[4]+4*V[2] Z_G(x)_0 = 0 # Green Polys by orbit reps #61.1 : x[97] : E8(b5),[3] : phi[1400,7] Qxi[E8,61,1] = (x[97])*q^7 + (x[100]+x[101]+x[102])*q^6 + (x[103]+x[107]+x[108])*q^5 + (x[105]+x[106]+x[110])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #61.2 : x[98] : E8(b5),[2, 1] : phi[1008,9] Qxi[E8,61,2] = (x[98])*q^7 + (x[100]+x[106])*q^6 + (x[107]+x[108])*q^5 + (x[109]+x[110])*q^4 + (x[111])*q^3 #61.3 : x[99] : E8(b5),[1, 1, 1] : phi[56,19] Qxi[E8,61,3] = (x[99])*q^7 + (x[109])*q^6 # Green Polys by conj class in A(O) #61.1 : c = () |O_x_c^F| = 1/6*q^98*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,61,1] = (x[97]+2*x[98]+x[99])*q^7 + (3*x[100]+x[101]+x[102]+2*x[106]+x[109])*q^6 + (x[103]+3*x[107]+3*x[108])*q^5 + (x[105]+x[106]+2*x[109]+3*x[110])*q^4 + (x[108]+2*x[111])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #61.2 : c = (1) |O_x_c^F| = 1/2*q^98*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,61,2] = (x[97]-x[99])*q^7 + (x[100]+x[101]+x[102]-x[109])*q^6 + (x[103]+x[107]+x[108])*q^5 + (x[105]+x[106]+x[110])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #61.3 : c = (12) |O_x_c^F| = 1/3*q^98*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,61,3] = (x[97]-x[98]+x[99])*q^7 + (x[101]+x[102]-x[106]+x[109])*q^6 + (x[103])*q^5 + (x[105]+x[106]-x[109])*q^4 + (x[108]-x[111])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #62 : E7(a1) dim = 228 A(O) = 1 , |A(O)_0| = 1 g_s = V[26]+V[22]+2*V[21]+V[18]+V[16]+2*V[15]+V[14]+2*V[11]+2*V[10]+V[6]+2*V[5]+V[2]+3*V[0] Z_G(x)_0 = A1 # Green Polys by orbit reps #62.1 : x[100] : E7(a1),[1] : phi[567,6] Qxi[E8,62,1] = (x[100])*q^6 + (x[103]+x[107]+x[108])*q^5 + (x[105]+x[106]+x[109]+x[110])*q^4 + (x[108]+x[111])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #62.1 : c = () |O_x_c^F| = q^102*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,62,1] = (x[100])*q^6 + (x[103]+x[107]+x[108])*q^5 + (x[105]+x[106]+x[109]+x[110])*q^4 + (x[108]+x[111])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #63 : E8(a5) dim = 228 A(O) = S2 , |A(O)_0| = 2 g_s = 2*V[22]+V[20]+V[18]+V[16]+3*V[14]+2*V[12]+4*V[10]+V[8]+V[6]+V[4]+3*V[2] Z_G(x)_0 = 0 # Green Polys by orbit reps #63.1 : x[101] : E8(a5),[2] : phi[700,6] Qxi[E8,63,1] = (x[101])*q^6 + (x[103])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #63.2 : x[102] : E8(a5),[1, 1] : phi[300,8] Qxi[E8,63,2] = (x[102])*q^6 + (x[107])*q^5 + (x[110])*q^4 # Green Polys by conj class in A(O) #63.1 : c = () |O_x_c^F| = 1/2*q^100*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,63,1] = (x[101]+x[102])*q^6 + (x[103]+x[107])*q^5 + (x[105]+x[106]+x[110])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #63.2 : c = (1) |O_x_c^F| = 1/2*q^100*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,63,2] = (x[101]-x[102])*q^6 + (x[103]-x[107])*q^5 + (x[105]+x[106]-x[110])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #64 : E8(b4) dim = 230 A(O) = S2 , |A(O)_0| = 2 g_s = V[26]+2*V[22]+V[20]+V[18]+2*V[16]+2*V[14]+V[12]+3*V[10]+2*V[6]+V[4]+2*V[2] Z_G(x)_0 = 0 # Green Polys by orbit reps #64.1 : x[103] : E8(b4),[2] : phi[560,5] Qxi[E8,64,1] = (x[103])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #64.2 : x[104] : E8(b4),[1, 1] : phi[50,8] Qxi[E8,64,2] = (x[104])*q^5 # Green Polys by conj class in A(O) #64.1 : c = () |O_x_c^F| = 1/2*q^102*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,64,1] = (x[103]+x[104])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #64.2 : c = (1) |O_x_c^F| = 1/2*q^102*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,64,2] = (x[103]-x[104])*q^5 + (x[105]+x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #65 : E7 dim = 232 A(O) = 1 , |A(O)_0| = 1 g_s = V[34]+2*V[27]+V[26]+V[22]+V[18]+2*V[17]+V[14]+V[10]+2*V[9]+V[2]+3*V[0] Z_G(x)_0 = A1 # Green Polys by orbit reps #65.1 : x[105] : E7,[1] : phi[84,4] Qxi[E8,65,1] = (x[105])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #65.1 : c = () |O_x_c^F| = q^106*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,65,1] = (x[105])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] orbit #66 : E8(a4) dim = 232 A(O) = S2 , |A(O)_0| = 2 g_s = V[28]+V[26]+2*V[22]+2*V[18]+V[16]+3*V[14]+2*V[10]+V[8]+V[6]+V[4]+V[2] Z_G(x)_0 = 0 # Green Polys by orbit reps #66.1 : x[106] : E8(a4),[2] : phi[210,4] Qxi[E8,66,1] = (x[106])*q^4 + (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #66.2 : x[107] : E8(a4),[1, 1] : phi[160,7] Qxi[E8,66,2] = (x[107])*q^4 + (x[109]+x[110])*q^3 + (x[111])*q^2 # Green Polys by conj class in A(O) #66.1 : c = () |O_x_c^F| = 1/2*q^104*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,66,1] = (x[106]+x[107])*q^4 + (x[108]+x[109]+x[110])*q^3 + (x[110]+x[111])*q^2 + (x[111])*q + x[112] #66.2 : c = (1) |O_x_c^F| = 1/2*q^104*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,66,2] = (x[106]-x[107])*q^4 + (x[108]-x[109]-x[110])*q^3 + (x[110]-x[111])*q^2 + (x[111])*q + x[112] orbit #67 : E8(a3) dim = 234 A(O) = S2 , |A(O)_0| = 2 g_s = V[34]+V[28]+2*V[26]+V[22]+2*V[18]+V[16]+V[14]+2*V[10]+V[8]+2*V[2] Z_G(x)_0 = 0 # Green Polys by orbit reps #67.1 : x[108] : E8(a3),[2] : phi[112,3] Qxi[E8,67,1] = (x[108])*q^3 + (x[110])*q^2 + (x[111])*q + x[112] #67.2 : x[109] : E8(a3),[1, 1] : phi[28,8] Qxi[E8,67,2] = (x[109])*q^3 + (x[111])*q^2 # Green Polys by conj class in A(O) #67.1 : c = () |O_x_c^F| = 1/2*q^106*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,67,1] = (x[108]+x[109])*q^3 + (x[110]+x[111])*q^2 + (x[111])*q + x[112] #67.2 : c = (1) |O_x_c^F| = 1/2*q^106*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,67,2] = (x[108]-x[109])*q^3 + (x[110]-x[111])*q^2 + (x[111])*q + x[112] orbit #68 : E8(a2) dim = 236 A(O) = 1 , |A(O)_0| = 1 g_s = V[38]+V[34]+V[28]+V[26]+2*V[22]+V[18]+V[16]+V[14]+V[10]+V[6]+V[2] Z_G(x)_0 = 0 # Green Polys by orbit reps #68.1 : x[110] : E8(a2),[1] : phi[35,2] Qxi[E8,68,1] = (x[110])*q^2 + (x[111])*q + x[112] # Green Polys by conj class in A(O) #68.1 : c = () |O_x_c^F| = q^108*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,68,1] = (x[110])*q^2 + (x[111])*q + x[112] orbit #69 : E8(a1) dim = 238 A(O) = 1 , |A(O)_0| = 1 g_s = V[46]+V[38]+V[34]+V[28]+V[26]+V[22]+V[18]+V[14]+V[10]+V[2] Z_G(x)_0 = 0 # Green Polys by orbit reps #69.1 : x[111] : E8(a1),[1] : phi[8,1] Qxi[E8,69,1] = (x[111])*q + x[112] # Green Polys by conj class in A(O) #69.1 : c = () |O_x_c^F| = q^110*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,69,1] = (x[111])*q + x[112] orbit #70 : E8 dim = 240 A(O) = 1 , |A(O)_0| = 1 g_s = V[58]+V[46]+V[38]+V[34]+V[26]+V[22]+V[14]+V[2] Z_G(x)_0 = 0 # Green Polys by orbit reps #70.1 : x[112] : E8,[1] : phi[1,0] Qxi[E8,70,1] = x[112] # Green Polys by conj class in A(O) #70.1 : c = () |O_x_c^F| = q^112*(q^2-1)*(q^8-1)*(q^12+1)*(q^12-1)^2*(q^14-1)*(q^15+1)*(q^15-1)*(q^18-1)*(q^20-1) Qxc[E8,70,1] = x[112]