#### Green Polynomials for D8 #### W-rep key: # x[1] = [[], [1, 1, 1, 1, 1, 1, 1, 1]] , orbit = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[2] = [[1], [1, 1, 1, 1, 1, 1, 1]] , orbit = [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[3] = [[1, 1], [1, 1, 1, 1, 1, 1]] , orbit = [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[4] = [[1, 1, 1], [1, 1, 1, 1, 1]] , orbit = [2, 2, 2, 2, 2, 2, 1, 1, 1, 1] , A-rep = [] # x[5] = [[1, 1, 1, 1], [1, 1, 1, 1], 2] , orbit = [2, 2, 2, 2, 2, 2, 2, 2, 0] , A-rep = [] # x[6] = [[1, 1, 1, 1], [1, 1, 1, 1], 1] , orbit = [2, 2, 2, 2, 2, 2, 2, 2] , A-rep = [] # x[7] = [[], [2, 1, 1, 1, 1, 1, 1]] , orbit = [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[8] = [[], [2, 2, 1, 1, 1, 1]] , orbit = [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[9] = [[], [2, 2, 2, 1, 1]] , orbit = [3, 2, 2, 2, 2, 1, 1, 1, 1, 1] , A-rep = [] # x[10] = [[], [2, 2, 2, 2]] , orbit = [3, 2, 2, 2, 2, 2, 2, 1] , A-rep = [] # x[11] = [[1], [2, 1, 1, 1, 1, 1]] , orbit = [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [1] # x[12] = [[2], [1, 1, 1, 1, 1, 1]] , orbit = [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [-1] # x[13] = [[1, 1], [2, 1, 1, 1, 1]] , orbit = [3, 3, 2, 2, 1, 1, 1, 1, 1, 1] , A-rep = [1] # x[14] = [[2, 1], [1, 1, 1, 1, 1]] , orbit = [3, 3, 2, 2, 1, 1, 1, 1, 1, 1] , A-rep = [-1] # x[15] = [[1, 1, 1], [2, 1, 1, 1]] , orbit = [3, 3, 2, 2, 2, 2, 1, 1] , A-rep = [1] # x[16] = [[2, 1, 1], [1, 1, 1, 1]] , orbit = [3, 3, 2, 2, 2, 2, 1, 1] , A-rep = [-1] # x[17] = [[1], [2, 2, 1, 1, 1]] , orbit = [3, 3, 3, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[18] = [[1], [2, 2, 2, 1]] , orbit = [3, 3, 3, 2, 2, 1, 1, 1] , A-rep = [] # x[19] = [[1, 1], [2, 2, 1, 1]] , orbit = [3, 3, 3, 3, 1, 1, 1, 1] , A-rep = [1] # x[20] = [[2, 2], [1, 1, 1, 1]] , orbit = [3, 3, 3, 3, 1, 1, 1, 1] , A-rep = [-1] # x[21] = [[1, 1, 1], [2, 2, 1]] , orbit = [3, 3, 3, 3, 2, 2] , A-rep = [] # x[22] = [[1, 1], [2, 2, 2]] , orbit = [3, 3, 3, 3, 3, 1] , A-rep = [] # x[23] = [[2], [2, 1, 1, 1, 1]] , orbit = [4, 4, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[24] = [[2, 1], [2, 1, 1, 1]] , orbit = [4, 4, 2, 2, 1, 1, 1, 1] , A-rep = [] # x[25] = [[2, 1, 1], [2, 1, 1], 2] , orbit = [4, 4, 2, 2, 2, 2, 0] , A-rep = [] # x[26] = [[2, 1, 1], [2, 1, 1], 1] , orbit = [4, 4, 2, 2, 2, 2] , A-rep = [] # x[27] = [[2], [2, 2, 1, 1]] , orbit = [4, 4, 3, 1, 1, 1, 1, 1] , A-rep = [] # x[28] = [[2], [2, 2, 2]] , orbit = [4, 4, 3, 2, 2, 1] , A-rep = [] # x[29] = [[2, 1], [2, 2, 1]] , orbit = [4, 4, 3, 3, 1, 1] , A-rep = [1] # x[30] = [[2, 2], [2, 1, 1]] , orbit = [4, 4, 3, 3, 1, 1] , A-rep = [-1] # x[31] = [[2, 2], [2, 2], 2] , orbit = [4, 4, 4, 4, 0] , A-rep = [] # x[32] = [[2, 2], [2, 2], 1] , orbit = [4, 4, 4, 4] , A-rep = [] # x[33] = [[], [3, 1, 1, 1, 1, 1]] , orbit = [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[34] = [[], [3, 2, 1, 1, 1]] , orbit = [5, 2, 2, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[35] = [[], [3, 2, 2, 1]] , orbit = [5, 2, 2, 2, 2, 1, 1, 1] , A-rep = [] # x[36] = [[1], [3, 1, 1, 1, 1]] , orbit = [5, 3, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [1] # x[37] = [[3], [1, 1, 1, 1, 1]] , orbit = [5, 3, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [-1] # x[38] = [[1, 1], [3, 1, 1, 1]] , orbit = [5, 3, 2, 2, 1, 1, 1, 1] , A-rep = [1] # x[39] = [[3, 1], [1, 1, 1, 1]] , orbit = [5, 3, 2, 2, 1, 1, 1, 1] , A-rep = [-1] # x[40] = [[1, 1, 1], [3, 1, 1]] , orbit = [5, 3, 2, 2, 2, 2] , A-rep = [] # x[41] = [[1], [3, 2, 1, 1]] , orbit = [5, 3, 3, 1, 1, 1, 1, 1] , A-rep = [1] # x[42] = [[], [3, 3, 1, 1]] , orbit = [5, 3, 3, 1, 1, 1, 1, 1] , A-rep = [-1] # x[43] = [[1], [3, 2, 2]] , orbit = [5, 3, 3, 2, 2, 1] , A-rep = [1] # x[44] = [[], [3, 3, 2]] , orbit = [5, 3, 3, 2, 2, 1] , A-rep = [-1] # x[45] = [[1, 1], [3, 2, 1]] , orbit = [5, 3, 3, 3, 1, 1] , A-rep = [1] # x[46] = [[1, 1, 1], [3, 2]] , orbit = [5, 3, 3, 3, 1, 1] , A-rep = [-1] # x[47] = [[1], [3, 3, 1]] , orbit = [5, 4, 4, 1, 1, 1] , A-rep = [] # x[48] = [[1, 1], [3, 3]] , orbit = [5, 4, 4, 3] , A-rep = [] # x[49] = [[2], [3, 1, 1, 1]] , orbit = [5, 5, 1, 1, 1, 1, 1, 1] , A-rep = [1] # x[50] = [[3], [2, 1, 1, 1]] , orbit = [5, 5, 1, 1, 1, 1, 1, 1] , A-rep = [-1] # x[51] = [[2, 1], [3, 1, 1]] , orbit = [5, 5, 2, 2, 1, 1] , A-rep = [1] # x[52] = [[3, 1], [2, 1, 1]] , orbit = [5, 5, 2, 2, 1, 1] , A-rep = [-1] # x[53] = [[2], [3, 2, 1]] , orbit = [5, 5, 3, 1, 1, 1] , A-rep = [1] # x[54] = [[3], [2, 2, 1]] , orbit = [5, 5, 3, 1, 1, 1] , A-rep = [-1] # x[55] = [[2, 1], [3, 2]] , orbit = [5, 5, 3, 3] , A-rep = [1] # x[56] = [[3, 1], [2, 2]] , orbit = [5, 5, 3, 3] , A-rep = [-1] # x[57] = [[2], [3, 3]] , orbit = [5, 5, 5, 1] , A-rep = [] # x[58] = [[3], [3, 1, 1]] , orbit = [6, 6, 1, 1, 1, 1] , A-rep = [] # x[59] = [[3, 1], [3, 1], 2] , orbit = [6, 6, 2, 2, 0] , A-rep = [] # x[60] = [[3, 1], [3, 1], 1] , orbit = [6, 6, 2, 2] , A-rep = [] # x[61] = [[3], [3, 2]] , orbit = [6, 6, 3, 1] , A-rep = [] # x[62] = [[], [4, 1, 1, 1, 1]] , orbit = [7, 1, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[63] = [[], [4, 2, 1, 1]] , orbit = [7, 2, 2, 1, 1, 1, 1, 1] , A-rep = [] # x[64] = [[], [4, 2, 2]] , orbit = [7, 2, 2, 2, 2, 1] , A-rep = [] # x[65] = [[1], [4, 1, 1, 1]] , orbit = [7, 3, 1, 1, 1, 1, 1, 1] , A-rep = [1] # x[66] = [[4], [1, 1, 1, 1]] , orbit = [7, 3, 1, 1, 1, 1, 1, 1] , A-rep = [-1] # x[67] = [[1, 1], [4, 1, 1]] , orbit = [7, 3, 2, 2, 1, 1] , A-rep = [1] # x[68] = [[1, 1, 1], [4, 1]] , orbit = [7, 3, 2, 2, 1, 1] , A-rep = [-1] # x[69] = [[1], [4, 2, 1]] , orbit = [7, 3, 3, 1, 1, 1] , A-rep = [1] # x[70] = [[], [4, 3, 1]] , orbit = [7, 3, 3, 1, 1, 1] , A-rep = [-1] # x[71] = [[1, 1], [4, 2]] , orbit = [7, 3, 3, 3] , A-rep = [] # x[72] = [[1], [4, 3]] , orbit = [7, 4, 4, 1] , A-rep = [] # x[73] = [[2], [4, 1, 1]] , orbit = [7, 5, 1, 1, 1, 1] , A-rep = [1] # x[74] = [[4], [2, 1, 1]] , orbit = [7, 5, 1, 1, 1, 1] , A-rep = [-1] # x[75] = [[2, 1], [4, 1]] , orbit = [7, 5, 2, 2] , A-rep = [] # x[76] = [[2], [4, 2]] , orbit = [7, 5, 3, 1] , A-rep = [1, 1] # x[77] = [[], [4, 4]] , orbit = [7, 5, 3, 1] , A-rep = [-1, 1] # x[78] = [[4], [2, 2]] , orbit = [7, 5, 3, 1] , A-rep = [1, -1] # x[79] = [[3], [4, 1]] , orbit = [7, 7, 1, 1] , A-rep = [1] # x[80] = [[4], [3, 1]] , orbit = [7, 7, 1, 1] , A-rep = [-1] # x[81] = [[4], [4], 2] , orbit = [8, 8, 0] , A-rep = [] # x[82] = [[4], [4], 1] , orbit = [8, 8] , A-rep = [] # x[83] = [[], [5, 1, 1, 1]] , orbit = [9, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[84] = [[], [5, 2, 1]] , orbit = [9, 2, 2, 1, 1, 1] , A-rep = [] # x[85] = [[1], [5, 1, 1]] , orbit = [9, 3, 1, 1, 1, 1] , A-rep = [1] # x[86] = [[1, 1, 1], [5]] , orbit = [9, 3, 1, 1, 1, 1] , A-rep = [-1] # x[87] = [[1, 1], [5, 1]] , orbit = [9, 3, 2, 2] , A-rep = [] # x[88] = [[1], [5, 2]] , orbit = [9, 3, 3, 1] , A-rep = [1] # x[89] = [[], [5, 3]] , orbit = [9, 3, 3, 1] , A-rep = [-1] # x[90] = [[2], [5, 1]] , orbit = [9, 5, 1, 1] , A-rep = [1] # x[91] = [[2, 1], [5]] , orbit = [9, 5, 1, 1] , A-rep = [-1] # x[92] = [[3], [5]] , orbit = [9, 7] , A-rep = [] # x[93] = [[], [6, 1, 1]] , orbit = [11, 1, 1, 1, 1, 1] , A-rep = [] # x[94] = [[], [6, 2]] , orbit = [11, 2, 2, 1] , A-rep = [] # x[95] = [[1], [6, 1]] , orbit = [11, 3, 1, 1] , A-rep = [1] # x[96] = [[1, 1], [6]] , orbit = [11, 3, 1, 1] , A-rep = [-1] # x[97] = [[2], [6]] , orbit = [11, 5] , A-rep = [] # x[98] = [[], [7, 1]] , orbit = [13, 1, 1, 1] , A-rep = [] # x[99] = [[1], [7]] , orbit = [13, 3] , A-rep = [] # x[100] = [[], [8]] , orbit = [15, 1] , A-rep = [] ### Green Polynomials by Orbit orbit #1 : [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] dim = 0 A(O) = 1 , |A(O)_0| = 1 g_s = 120*V[0] Z_G(x)_0 = D8 # Green Polys by orbit reps #1.1 : x[1] : [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[], [8]] Qxi[D8,1,1] = (x[1])*q^56 + (x[2])*q^55 + (x[3]+x[7])*q^54 + (x[2]+x[4]+x[11])*q^53 + (x[3]+x[5]+x[6]+x[7]+x[8]+x[12]+x[13])*q^52 + (x[2]+2*x[4]+2*x[11]+x[14]+x[15]+x[17])*q^51 + (3*x[3]+x[5]+x[6]+x[7]+x[8]+x[9]+x[12]+2*x[13]+2*x[16]+x[19]+x[23]+x[33])*q^50 + (2*x[2]+3*x[4]+3*x[11]+3*x[14]+3*x[15]+2*x[17]+x[18]+x[21]+x[24]+x[36])*q^49 + (3*x[3]+2*x[5]+2*x[6]+x[7]+2*x[8]+x[9]+x[10]+3*x[12]+5*x[13]+4*x[16]+2*x[19]+2*x[20]+x[22]+2*x[23]+x[25]+x[26]+x[27]+x[33]+x[34]+x[38])*q^48 + (x[2]+5*x[4]+5*x[11]+5*x[14]+6*x[15]+4*x[17]+2*x[18]+3*x[21]+4*x[24]+x[29]+2*x[36]+x[37]+x[40]+x[41])*q^47 + (4*x[3]+3*x[5]+3*x[6]+x[7]+2*x[8]+2*x[9]+3*x[12]+8*x[13]+8*x[16]+6*x[19]+2*x[20]+x[22]+5*x[23]+3*x[25]+3*x[26]+2*x[27]+x[28]+2*x[30]+2*x[33]+2*x[34]+x[35]+2*x[38]+2*x[39]+x[45]+x[49])*q^46 + (x[2]+6*x[4]+6*x[11]+8*x[14]+11*x[15]+7*x[17]+3*x[18]+6*x[21]+9*x[24]+4*x[29]+4*x[36]+2*x[37]+3*x[40]+3*x[41]+x[43]+x[46]+x[50]+x[51])*q^45 + (4*x[3]+4*x[5]+4*x[6]+x[7]+3*x[8]+2*x[9]+x[10]+4*x[12]+12*x[13]+12*x[16]+9*x[19]+6*x[20]+4*x[22]+8*x[23]+7*x[25]+7*x[26]+6*x[27]+x[28]+4*x[30]+x[31]+x[32]+2*x[33]+3*x[34]+2*x[35]+6*x[38]+4*x[39]+x[42]+3*x[45]+2*x[49]+2*x[52]+x[53]+x[62])*q^44 + (x[2]+7*x[4]+7*x[11]+11*x[14]+16*x[15]+9*x[17]+6*x[18]+11*x[21]+17*x[24]+9*x[29]+7*x[36]+3*x[37]+7*x[40]+6*x[41]+2*x[43]+3*x[46]+x[47]+3*x[50]+4*x[51]+x[54]+x[55]+x[65])*q^43 + (4*x[3]+4*x[5]+4*x[6]+x[7]+2*x[8]+3*x[9]+x[10]+4*x[12]+15*x[13]+18*x[16]+16*x[19]+8*x[20]+5*x[22]+12*x[23]+12*x[25]+12*x[26]+9*x[27]+4*x[28]+10*x[30]+x[31]+x[32]+3*x[33]+5*x[34]+3*x[35]+10*x[38]+8*x[39]+x[42]+x[44]+7*x[45]+x[48]+6*x[49]+6*x[52]+3*x[53]+2*x[56]+x[62]+x[63]+x[67])*q^42 + (8*x[4]+7*x[11]+13*x[14]+21*x[15]+12*x[17]+8*x[18]+17*x[21]+27*x[24]+17*x[29]+10*x[36]+5*x[37]+13*x[40]+11*x[41]+4*x[43]+6*x[46]+2*x[47]+6*x[50]+10*x[51]+3*x[54]+4*x[55]+x[58]+2*x[65]+x[68]+x[69])*q^41 + (3*x[3]+5*x[5]+5*x[6]+3*x[8]+3*x[9]+2*x[10]+4*x[12]+18*x[13]+22*x[16]+20*x[19]+12*x[20]+9*x[22]+15*x[23]+19*x[25]+19*x[26]+16*x[27]+5*x[28]+16*x[30]+4*x[31]+4*x[32]+3*x[33]+6*x[34]+4*x[35]+17*x[38]+12*x[39]+3*x[42]+x[44]+14*x[45]+x[48]+10*x[49]+14*x[52]+7*x[53]+4*x[56]+x[57]+x[59]+x[60]+2*x[62]+2*x[63]+x[64]+2*x[66]+2*x[67]+x[71]+x[73])*q^40 + (7*x[4]+6*x[11]+15*x[14]+26*x[15]+14*x[17]+10*x[18]+23*x[21]+37*x[24]+28*x[29]+13*x[36]+6*x[37]+20*x[40]+17*x[41]+7*x[43]+11*x[46]+4*x[47]+11*x[50]+20*x[51]+6*x[54]+9*x[55]+3*x[58]+x[61]+4*x[65]+3*x[68]+3*x[69]+x[75])*q^39 + (3*x[3]+4*x[5]+4*x[6]+2*x[8]+4*x[9]+x[10]+3*x[12]+18*x[13]+26*x[16]+27*x[19]+14*x[20]+11*x[22]+18*x[23]+26*x[25]+26*x[26]+20*x[27]+9*x[28]+26*x[30]+5*x[31]+5*x[32]+3*x[33]+7*x[34]+6*x[35]+23*x[38]+18*x[39]+3*x[42]+2*x[44]+22*x[45]+4*x[48]+17*x[49]+24*x[52]+14*x[53]+10*x[56]+x[57]+3*x[59]+3*x[60]+3*x[62]+4*x[63]+x[64]+2*x[66]+6*x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+x[76])*q^38 + (6*x[4]+5*x[11]+15*x[14]+28*x[15]+14*x[17]+13*x[18]+29*x[21]+47*x[24]+40*x[29]+15*x[36]+7*x[37]+28*x[40]+23*x[41]+10*x[43]+17*x[46]+7*x[47]+16*x[50]+33*x[51]+11*x[54]+17*x[55]+7*x[58]+3*x[61]+8*x[65]+6*x[68]+6*x[69]+x[72]+4*x[75])*q^37 + (x[3]+4*x[5]+4*x[6]+2*x[8]+3*x[9]+2*x[10]+3*x[12]+18*x[13]+26*x[16]+29*x[19]+18*x[20]+15*x[22]+18*x[23]+33*x[25]+33*x[26]+27*x[27]+11*x[28]+34*x[30]+9*x[31]+9*x[32]+2*x[33]+8*x[34]+7*x[35]+30*x[38]+22*x[39]+5*x[42]+2*x[44]+32*x[45]+5*x[48]+23*x[49]+38*x[52]+22*x[53]+16*x[56]+4*x[57]+7*x[59]+7*x[60]+4*x[62]+5*x[63]+3*x[64]+4*x[66]+10*x[67]+2*x[70]+6*x[71]+6*x[73]+4*x[74]+2*x[76]+2*x[78]+x[83])*q^36 + (5*x[4]+3*x[11]+13*x[14]+28*x[15]+14*x[17]+13*x[18]+33*x[21]+54*x[24]+52*x[29]+16*x[36]+8*x[37]+35*x[40]+29*x[41]+14*x[43]+23*x[46]+10*x[47]+21*x[50]+48*x[51]+17*x[54]+28*x[55]+13*x[58]+6*x[61]+11*x[65]+11*x[68]+11*x[69]+2*x[72]+9*x[75]+x[79]+x[85])*q^35 + (x[3]+3*x[5]+3*x[6]+x[8]+3*x[9]+x[10]+x[12]+15*x[13]+26*x[16]+32*x[19]+16*x[20]+15*x[22]+18*x[23]+37*x[25]+37*x[26]+29*x[27]+15*x[28]+44*x[30]+11*x[31]+11*x[32]+2*x[33]+8*x[34]+8*x[35]+33*x[38]+26*x[39]+5*x[42]+4*x[44]+42*x[45]+9*x[48]+30*x[49]+52*x[52]+32*x[53]+26*x[56]+5*x[57]+12*x[59]+12*x[60]+4*x[62]+8*x[63]+3*x[64]+6*x[66]+17*x[67]+3*x[70]+9*x[71]+10*x[73]+8*x[74]+6*x[76]+2*x[78]+2*x[80]+x[83]+x[84]+x[87])*q^34 + (3*x[4]+2*x[11]+11*x[14]+26*x[15]+12*x[17]+13*x[18]+34*x[21]+56*x[24]+62*x[29]+15*x[36]+7*x[37]+40*x[40]+33*x[41]+17*x[43]+29*x[46]+14*x[47]+26*x[50]+63*x[51]+23*x[54]+40*x[55]+20*x[58]+11*x[61]+15*x[65]+16*x[68]+17*x[69]+3*x[72]+17*x[75]+3*x[79]+2*x[85]+x[86]+x[88])*q^33 + (2*x[5]+2*x[6]+x[8]+2*x[9]+2*x[10]+x[12]+12*x[13]+22*x[16]+29*x[19]+18*x[20]+18*x[22]+15*x[23]+39*x[25]+39*x[26]+32*x[27]+15*x[28]+48*x[30]+15*x[31]+15*x[32]+x[33]+7*x[34]+8*x[35]+36*x[38]+26*x[39]+7*x[42]+4*x[44]+49*x[45]+11*x[48]+33*x[49]+66*x[52]+42*x[53]+34*x[56]+9*x[57]+19*x[59]+19*x[60]+5*x[62]+9*x[63]+5*x[64]+8*x[66]+23*x[67]+4*x[70]+16*x[71]+17*x[73]+12*x[74]+9*x[76]+x[77]+6*x[78]+4*x[80]+2*x[83]+2*x[84]+2*x[87]+x[90])*q^32 + (2*x[4]+x[11]+8*x[14]+21*x[15]+9*x[17]+13*x[18]+33*x[21]+54*x[24]+67*x[29]+13*x[36]+6*x[37]+42*x[40]+34*x[41]+19*x[43]+33*x[46]+17*x[47]+28*x[50]+75*x[51]+29*x[54]+52*x[55]+28*x[58]+17*x[61]+19*x[65]+21*x[68]+23*x[69]+6*x[72]+27*x[75]+6*x[79]+4*x[85]+2*x[86]+2*x[88]+x[91])*q^31 + 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(x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+9*x[75]+11*x[79]+4*x[85]+2*x[86]+7*x[88]+8*x[91]+6*x[92]+6*x[95]+x[99])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+8*x[80]+3*x[81]+3*x[82]+2*x[84]+5*x[87]+2*x[89]+8*x[90]+2*x[93]+2*x[94]+3*x[96]+4*x[97]+x[98])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+5*x[91]+5*x[92]+5*x[95]+x[99])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+3*x[96]+3*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+2*x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #1.1 : c = () |O_x_c^F| = 1 Qxc[D8,1,1] = (x[1])*q^56 + (x[2])*q^55 + (x[3]+x[7])*q^54 + (x[2]+x[4]+x[11])*q^53 + (x[3]+x[5]+x[6]+x[7]+x[8]+x[12]+x[13])*q^52 + (x[2]+2*x[4]+2*x[11]+x[14]+x[15]+x[17])*q^51 + (3*x[3]+x[5]+x[6]+x[7]+x[8]+x[9]+x[12]+2*x[13]+2*x[16]+x[19]+x[23]+x[33])*q^50 + (2*x[2]+3*x[4]+3*x[11]+3*x[14]+3*x[15]+2*x[17]+x[18]+x[21]+x[24]+x[36])*q^49 + (3*x[3]+2*x[5]+2*x[6]+x[7]+2*x[8]+x[9]+x[10]+3*x[12]+5*x[13]+4*x[16]+2*x[19]+2*x[20]+x[22]+2*x[23]+x[25]+x[26]+x[27]+x[33]+x[34]+x[38])*q^48 + (x[2]+5*x[4]+5*x[11]+5*x[14]+6*x[15]+4*x[17]+2*x[18]+3*x[21]+4*x[24]+x[29]+2*x[36]+x[37]+x[40]+x[41])*q^47 + (4*x[3]+3*x[5]+3*x[6]+x[7]+2*x[8]+2*x[9]+3*x[12]+8*x[13]+8*x[16]+6*x[19]+2*x[20]+x[22]+5*x[23]+3*x[25]+3*x[26]+2*x[27]+x[28]+2*x[30]+2*x[33]+2*x[34]+x[35]+2*x[38]+2*x[39]+x[45]+x[49])*q^46 + (x[2]+6*x[4]+6*x[11]+8*x[14]+11*x[15]+7*x[17]+3*x[18]+6*x[21]+9*x[24]+4*x[29]+4*x[36]+2*x[37]+3*x[40]+3*x[41]+x[43]+x[46]+x[50]+x[51])*q^45 + 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(x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+9*x[75]+11*x[79]+4*x[85]+2*x[86]+7*x[88]+8*x[91]+6*x[92]+6*x[95]+x[99])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+8*x[80]+3*x[81]+3*x[82]+2*x[84]+5*x[87]+2*x[89]+8*x[90]+2*x[93]+2*x[94]+3*x[96]+4*x[97]+x[98])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+5*x[91]+5*x[92]+5*x[95]+x[99])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+3*x[96]+3*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+2*x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #2 : [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] dim = 26 A(O) = 1 , |A(O)_0| = 1 g_s = 24*V[1]+V[2]+69*V[0] Z_G(x)_0 = O12+Sp2 # Green Polys by orbit reps #2.1 : x[2] : [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[1], [1, 1, 1, 1, 1, 1, 1]] Qxi[D8,2,1] = (x[2])*q^43 + (x[3]+x[7]+x[12])*q^42 + (x[4]+2*x[11]+x[14])*q^41 + (x[3]+x[5]+x[6]+x[8]+x[12]+2*x[13]+x[16]+x[23]+x[33])*q^40 + (2*x[4]+2*x[11]+2*x[14]+3*x[15]+2*x[17]+x[24]+x[36]+x[37])*q^39 + (2*x[3]+x[5]+x[6]+x[8]+x[9]+x[12]+4*x[13]+4*x[16]+2*x[19]+x[20]+3*x[23]+x[25]+x[26]+x[27]+x[33]+x[34]+x[38]+x[39])*q^38 + (3*x[4]+3*x[11]+5*x[14]+5*x[15]+3*x[17]+2*x[18]+3*x[21]+5*x[24]+x[29]+3*x[36]+x[37]+2*x[40]+x[41]+x[50])*q^37 + (x[3]+2*x[5]+2*x[6]+x[8]+x[9]+x[10]+2*x[12]+7*x[13]+7*x[16]+5*x[19]+4*x[20]+2*x[22]+5*x[23]+4*x[25]+4*x[26]+3*x[27]+x[28]+2*x[30]+x[33]+2*x[34]+x[35]+4*x[38]+3*x[39]+x[45]+2*x[49]+x[52]+x[62])*q^36 + (3*x[4]+2*x[11]+6*x[14]+10*x[15]+6*x[17]+3*x[18]+7*x[21]+12*x[24]+5*x[29]+5*x[36]+3*x[37]+5*x[40]+4*x[41]+x[43]+2*x[46]+2*x[50]+3*x[51]+x[54]+x[65])*q^35 + (x[3]+2*x[5]+2*x[6]+x[8]+2*x[9]+x[12]+8*x[13]+11*x[16]+11*x[19]+5*x[20]+3*x[22]+8*x[23]+9*x[25]+9*x[26]+7*x[27]+2*x[28]+7*x[30]+x[31]+x[32]+x[33]+3*x[34]+2*x[35]+8*x[38]+7*x[39]+x[42]+5*x[45]+5*x[49]+5*x[52]+2*x[53]+x[56]+x[62]+x[63]+x[66]+x[67])*q^34 + (3*x[4]+2*x[11]+7*x[14]+13*x[15]+7*x[17]+5*x[18]+12*x[21]+20*x[24]+14*x[29]+7*x[36]+3*x[37]+11*x[40]+9*x[41]+3*x[43]+5*x[46]+x[47]+7*x[50]+9*x[51]+2*x[54]+3*x[55]+x[58]+2*x[65]+2*x[68]+x[69])*q^33 + (2*x[5]+2*x[6]+x[8]+x[9]+x[10]+x[12]+9*x[13]+13*x[16]+14*x[19]+9*x[20]+7*x[22]+9*x[23]+15*x[25]+15*x[26]+12*x[27]+4*x[28]+14*x[30]+3*x[31]+3*x[32]+x[33]+4*x[34]+3*x[35]+14*x[38]+10*x[39]+2*x[42]+x[44]+12*x[45]+x[48]+10*x[49]+14*x[52]+7*x[53]+4*x[56]+x[59]+x[60]+2*x[62]+2*x[63]+x[64]+2*x[66]+3*x[67]+x[71]+x[73]+x[74])*q^32 + (2*x[4]+x[11]+6*x[14]+15*x[15]+7*x[17]+7*x[18]+17*x[21]+28*x[24]+24*x[29]+8*x[36]+4*x[37]+17*x[40]+14*x[41]+6*x[43]+11*x[46]+4*x[47]+10*x[50]+21*x[51]+7*x[54]+9*x[55]+4*x[58]+x[61]+6*x[65]+4*x[68]+3*x[69]+2*x[75])*q^31 + (x[5]+x[6]+2*x[9]+x[10]+7*x[13]+14*x[16]+18*x[19]+9*x[20]+8*x[22]+9*x[23]+20*x[25]+20*x[26]+16*x[27]+8*x[28]+23*x[30]+5*x[31]+5*x[32]+x[33]+4*x[34]+4*x[35]+18*x[38]+14*x[39]+3*x[42]+2*x[44]+21*x[45]+4*x[48]+16*x[49]+26*x[52]+14*x[53]+11*x[56]+2*x[57]+4*x[59]+4*x[60]+2*x[62]+4*x[63]+x[64]+3*x[66]+8*x[67]+x[70]+3*x[71]+4*x[73]+3*x[74]+x[76]+x[78]+x[83])*q^30 + (x[4]+5*x[14]+13*x[15]+6*x[17]+8*x[18]+20*x[21]+32*x[24]+35*x[29]+8*x[36]+3*x[37]+23*x[40]+19*x[41]+9*x[43]+16*x[46]+7*x[47]+15*x[50]+34*x[51]+12*x[54]+20*x[55]+10*x[58]+4*x[61]+8*x[65]+9*x[68]+8*x[69]+x[72]+7*x[75]+x[85])*q^29 + (x[5]+x[6]+x[9]+x[10]+5*x[13]+11*x[16]+16*x[19]+10*x[20]+11*x[22]+7*x[23]+23*x[25]+23*x[26]+19*x[27]+9*x[28]+29*x[30]+9*x[31]+9*x[32]+4*x[34]+5*x[35]+21*x[38]+15*x[39]+4*x[42]+2*x[44]+30*x[45]+6*x[48]+20*x[49]+39*x[52]+24*x[53]+19*x[56]+4*x[57]+10*x[59]+10*x[60]+3*x[62]+5*x[63]+3*x[64]+5*x[66]+13*x[67]+2*x[70]+8*x[71]+9*x[73]+7*x[74]+4*x[76]+2*x[78]+x[80]+x[83]+x[84]+x[87])*q^28 + (3*x[14]+11*x[15]+4*x[17]+7*x[18]+19*x[21]+30*x[24]+42*x[29]+6*x[36]+3*x[37]+25*x[40]+21*x[41]+12*x[43]+21*x[46]+11*x[47]+17*x[50]+48*x[51]+18*x[54]+32*x[55]+17*x[58]+9*x[61]+12*x[65]+13*x[68]+14*x[69]+2*x[72]+15*x[75]+3*x[79]+2*x[85]+2*x[86]+x[88])*q^27 + (x[9]+2*x[13]+8*x[16]+15*x[19]+7*x[20]+9*x[22]+5*x[23]+22*x[25]+22*x[26]+17*x[27]+11*x[28]+33*x[30]+10*x[31]+10*x[32]+3*x[34]+5*x[35]+19*x[38]+15*x[39]+4*x[42]+3*x[44]+35*x[45]+10*x[48]+22*x[49]+48*x[52]+33*x[53]+29*x[56]+7*x[57]+17*x[59]+17*x[60]+2*x[62]+7*x[63]+3*x[64]+5*x[66]+20*x[67]+4*x[70]+13*x[71]+15*x[73]+12*x[74]+9*x[76]+5*x[78]+4*x[80]+2*x[83]+2*x[84]+3*x[87]+x[90])*q^26 + (x[14]+6*x[15]+2*x[17]+6*x[18]+16*x[21]+25*x[24]+43*x[29]+4*x[36]+2*x[37]+24*x[40]+20*x[41]+13*x[43]+22*x[46]+13*x[47]+17*x[50]+54*x[51]+22*x[54]+43*x[55]+25*x[58]+16*x[61]+13*x[65]+18*x[68]+20*x[69]+6*x[72]+26*x[75]+6*x[79]+5*x[85]+2*x[86]+2*x[88]+2*x[91])*q^25 + (x[10]+x[13]+4*x[16]+9*x[19]+6*x[20]+9*x[22]+2*x[23]+18*x[25]+18*x[26]+15*x[27]+10*x[28]+30*x[30]+12*x[31]+12*x[32]+2*x[34]+4*x[35]+16*x[38]+11*x[39]+4*x[42]+3*x[44]+35*x[45]+11*x[48]+20*x[49]+52*x[52]+37*x[53]+34*x[56]+11*x[57]+24*x[59]+24*x[60]+2*x[62]+7*x[63]+5*x[64]+6*x[66]+23*x[67]+5*x[70]+20*x[71]+22*x[73]+16*x[74]+15*x[76]+x[77]+9*x[78]+9*x[80]+3*x[83]+3*x[84]+6*x[87]+x[89]+3*x[90])*q^24 + (3*x[15]+x[17]+3*x[18]+11*x[21]+17*x[24]+37*x[29]+2*x[36]+x[37]+19*x[40]+16*x[41]+13*x[43]+21*x[46]+14*x[47]+14*x[50]+54*x[51]+24*x[54]+48*x[55]+29*x[58]+22*x[61]+13*x[65]+19*x[68]+24*x[69]+8*x[72]+36*x[75]+13*x[79]+8*x[85]+4*x[86]+5*x[88]+4*x[91])*q^23 + (2*x[16]+6*x[19]+2*x[20]+5*x[22]+x[23]+12*x[25]+12*x[26]+9*x[27]+9*x[28]+25*x[30]+10*x[31]+10*x[32]+x[34]+3*x[35]+10*x[38]+8*x[39]+3*x[42]+4*x[44]+30*x[45]+13*x[48]+16*x[49]+47*x[52]+37*x[53]+37*x[56]+12*x[57]+28*x[59]+28*x[60]+x[62]+7*x[63]+4*x[64]+5*x[66]+25*x[67]+6*x[70]+22*x[71]+25*x[73]+19*x[74]+21*x[76]+x[77]+11*x[78]+15*x[80]+x[81]+x[82]+3*x[83]+5*x[84]+10*x[87]+x[89]+7*x[90]+x[93])*q^22 + (x[15]+2*x[18]+6*x[21]+9*x[24]+28*x[29]+x[36]+13*x[40]+11*x[41]+10*x[43]+16*x[46]+13*x[47]+11*x[50]+45*x[51]+21*x[54]+47*x[55]+30*x[58]+26*x[61]+10*x[65]+19*x[68]+25*x[69]+10*x[72]+42*x[75]+18*x[79]+11*x[85]+5*x[86]+8*x[88]+7*x[91]+2*x[92]+x[95])*q^21 + (2*x[19]+2*x[20]+4*x[22]+7*x[25]+7*x[26]+6*x[27]+5*x[28]+16*x[30]+9*x[31]+9*x[32]+2*x[35]+6*x[38]+4*x[39]+3*x[42]+2*x[44]+22*x[45]+10*x[48]+10*x[49]+37*x[52]+31*x[53]+32*x[56]+13*x[57]+29*x[59]+29*x[60]+x[62]+5*x[63]+5*x[64]+4*x[66]+21*x[67]+6*x[70]+24*x[71]+26*x[73]+19*x[74]+24*x[76]+x[77]+14*x[78]+19*x[80]+2*x[81]+2*x[82]+3*x[83]+6*x[84]+13*x[87]+2*x[89]+11*x[90]+x[93]+x[94]+x[96])*q^20 + (x[18]+3*x[21]+4*x[24]+17*x[29]+7*x[40]+6*x[41]+7*x[43]+11*x[46]+10*x[47]+6*x[50]+33*x[51]+17*x[54]+39*x[55]+26*x[58]+26*x[61]+8*x[65]+15*x[68]+22*x[69]+11*x[72]+42*x[75]+23*x[79]+12*x[85]+6*x[86]+11*x[88]+10*x[91]+3*x[92]+2*x[95])*q^19 + (x[19]+x[22]+3*x[25]+3*x[26]+2*x[27]+4*x[28]+10*x[30]+5*x[31]+5*x[32]+x[35]+2*x[38]+2*x[39]+x[42]+2*x[44]+14*x[45]+9*x[48]+6*x[49]+24*x[52]+22*x[53]+26*x[56]+11*x[57]+25*x[59]+25*x[60]+4*x[63]+3*x[64]+2*x[66]+17*x[67]+6*x[70]+19*x[71]+22*x[73]+17*x[74]+25*x[76]+x[77]+13*x[78]+22*x[80]+3*x[81]+3*x[82]+3*x[83]+6*x[84]+15*x[87]+3*x[89]+14*x[90]+2*x[93]+x[94]+2*x[96]+x[97])*q^18 + (x[21]+x[24]+9*x[29]+3*x[40]+3*x[41]+4*x[43]+6*x[46]+7*x[47]+3*x[50]+20*x[51]+11*x[54]+28*x[55]+20*x[58]+23*x[61]+4*x[65]+11*x[68]+17*x[69]+10*x[72]+36*x[75]+23*x[79]+12*x[85]+5*x[86]+12*x[88]+13*x[91]+5*x[92]+4*x[95])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+4*x[30]+4*x[31]+4*x[32]+x[38]+x[42]+x[44]+7*x[45]+5*x[48]+2*x[49]+14*x[52]+14*x[53]+16*x[56]+9*x[57]+19*x[59]+19*x[60]+2*x[63]+3*x[64]+2*x[66]+10*x[67]+4*x[70]+16*x[71]+17*x[73]+12*x[74]+20*x[76]+2*x[77]+12*x[78]+21*x[80]+4*x[81]+4*x[82]+2*x[83]+6*x[84]+14*x[87]+3*x[89]+16*x[90]+2*x[93]+2*x[94]+3*x[96]+2*x[97])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+3*x[46]+4*x[47]+x[50]+10*x[51]+6*x[54]+17*x[55]+13*x[58]+17*x[61]+2*x[65]+6*x[68]+11*x[69]+8*x[72]+27*x[75]+21*x[79]+10*x[85]+5*x[86]+12*x[88]+12*x[91]+7*x[92]+5*x[95])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+4*x[48]+x[49]+6*x[52]+7*x[53]+10*x[56]+5*x[57]+12*x[59]+12*x[60]+x[63]+x[64]+6*x[67]+3*x[70]+9*x[71]+10*x[73]+8*x[74]+16*x[76]+x[77]+8*x[78]+18*x[80]+4*x[81]+4*x[82]+x[83]+5*x[84]+12*x[87]+3*x[89]+15*x[90]+3*x[93]+2*x[94]+3*x[96]+3*x[97])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+9*x[55]+7*x[58]+11*x[61]+x[65]+3*x[68]+6*x[69]+6*x[72]+17*x[75]+16*x[79]+7*x[85]+3*x[86]+9*x[88]+11*x[91]+7*x[92]+7*x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+7*x[59]+7*x[60]+x[64]+2*x[67]+2*x[70]+6*x[71]+6*x[73]+4*x[74]+9*x[76]+x[77]+6*x[78]+12*x[80]+4*x[81]+4*x[82]+x[83]+3*x[84]+8*x[87]+2*x[89]+12*x[90]+2*x[93]+3*x[94]+4*x[96]+4*x[97]+x[98])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+9*x[75]+11*x[79]+4*x[85]+2*x[86]+7*x[88]+8*x[91]+6*x[92]+6*x[95]+x[99])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+8*x[80]+3*x[81]+3*x[82]+2*x[84]+5*x[87]+2*x[89]+8*x[90]+2*x[93]+2*x[94]+3*x[96]+4*x[97]+x[98])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+5*x[91]+5*x[92]+5*x[95]+x[99])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+3*x[96]+3*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+2*x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #2.1 : c = () |O_x_c^F| = (q^2+1)*(q^4+1)*(q^6+1)*(q^14-1) Qxc[D8,2,1] = (x[2])*q^43 + (x[3]+x[7]+x[12])*q^42 + (x[4]+2*x[11]+x[14])*q^41 + (x[3]+x[5]+x[6]+x[8]+x[12]+2*x[13]+x[16]+x[23]+x[33])*q^40 + (2*x[4]+2*x[11]+2*x[14]+3*x[15]+2*x[17]+x[24]+x[36]+x[37])*q^39 + (2*x[3]+x[5]+x[6]+x[8]+x[9]+x[12]+4*x[13]+4*x[16]+2*x[19]+x[20]+3*x[23]+x[25]+x[26]+x[27]+x[33]+x[34]+x[38]+x[39])*q^38 + (3*x[4]+3*x[11]+5*x[14]+5*x[15]+3*x[17]+2*x[18]+3*x[21]+5*x[24]+x[29]+3*x[36]+x[37]+2*x[40]+x[41]+x[50])*q^37 + (x[3]+2*x[5]+2*x[6]+x[8]+x[9]+x[10]+2*x[12]+7*x[13]+7*x[16]+5*x[19]+4*x[20]+2*x[22]+5*x[23]+4*x[25]+4*x[26]+3*x[27]+x[28]+2*x[30]+x[33]+2*x[34]+x[35]+4*x[38]+3*x[39]+x[45]+2*x[49]+x[52]+x[62])*q^36 + (3*x[4]+2*x[11]+6*x[14]+10*x[15]+6*x[17]+3*x[18]+7*x[21]+12*x[24]+5*x[29]+5*x[36]+3*x[37]+5*x[40]+4*x[41]+x[43]+2*x[46]+2*x[50]+3*x[51]+x[54]+x[65])*q^35 + (x[3]+2*x[5]+2*x[6]+x[8]+2*x[9]+x[12]+8*x[13]+11*x[16]+11*x[19]+5*x[20]+3*x[22]+8*x[23]+9*x[25]+9*x[26]+7*x[27]+2*x[28]+7*x[30]+x[31]+x[32]+x[33]+3*x[34]+2*x[35]+8*x[38]+7*x[39]+x[42]+5*x[45]+5*x[49]+5*x[52]+2*x[53]+x[56]+x[62]+x[63]+x[66]+x[67])*q^34 + (3*x[4]+2*x[11]+7*x[14]+13*x[15]+7*x[17]+5*x[18]+12*x[21]+20*x[24]+14*x[29]+7*x[36]+3*x[37]+11*x[40]+9*x[41]+3*x[43]+5*x[46]+x[47]+7*x[50]+9*x[51]+2*x[54]+3*x[55]+x[58]+2*x[65]+2*x[68]+x[69])*q^33 + (2*x[5]+2*x[6]+x[8]+x[9]+x[10]+x[12]+9*x[13]+13*x[16]+14*x[19]+9*x[20]+7*x[22]+9*x[23]+15*x[25]+15*x[26]+12*x[27]+4*x[28]+14*x[30]+3*x[31]+3*x[32]+x[33]+4*x[34]+3*x[35]+14*x[38]+10*x[39]+2*x[42]+x[44]+12*x[45]+x[48]+10*x[49]+14*x[52]+7*x[53]+4*x[56]+x[59]+x[60]+2*x[62]+2*x[63]+x[64]+2*x[66]+3*x[67]+x[71]+x[73]+x[74])*q^32 + (2*x[4]+x[11]+6*x[14]+15*x[15]+7*x[17]+7*x[18]+17*x[21]+28*x[24]+24*x[29]+8*x[36]+4*x[37]+17*x[40]+14*x[41]+6*x[43]+11*x[46]+4*x[47]+10*x[50]+21*x[51]+7*x[54]+9*x[55]+4*x[58]+x[61]+6*x[65]+4*x[68]+3*x[69]+2*x[75])*q^31 + (x[5]+x[6]+2*x[9]+x[10]+7*x[13]+14*x[16]+18*x[19]+9*x[20]+8*x[22]+9*x[23]+20*x[25]+20*x[26]+16*x[27]+8*x[28]+23*x[30]+5*x[31]+5*x[32]+x[33]+4*x[34]+4*x[35]+18*x[38]+14*x[39]+3*x[42]+2*x[44]+21*x[45]+4*x[48]+16*x[49]+26*x[52]+14*x[53]+11*x[56]+2*x[57]+4*x[59]+4*x[60]+2*x[62]+4*x[63]+x[64]+3*x[66]+8*x[67]+x[70]+3*x[71]+4*x[73]+3*x[74]+x[76]+x[78]+x[83])*q^30 + (x[4]+5*x[14]+13*x[15]+6*x[17]+8*x[18]+20*x[21]+32*x[24]+35*x[29]+8*x[36]+3*x[37]+23*x[40]+19*x[41]+9*x[43]+16*x[46]+7*x[47]+15*x[50]+34*x[51]+12*x[54]+20*x[55]+10*x[58]+4*x[61]+8*x[65]+9*x[68]+8*x[69]+x[72]+7*x[75]+x[85])*q^29 + (x[5]+x[6]+x[9]+x[10]+5*x[13]+11*x[16]+16*x[19]+10*x[20]+11*x[22]+7*x[23]+23*x[25]+23*x[26]+19*x[27]+9*x[28]+29*x[30]+9*x[31]+9*x[32]+4*x[34]+5*x[35]+21*x[38]+15*x[39]+4*x[42]+2*x[44]+30*x[45]+6*x[48]+20*x[49]+39*x[52]+24*x[53]+19*x[56]+4*x[57]+10*x[59]+10*x[60]+3*x[62]+5*x[63]+3*x[64]+5*x[66]+13*x[67]+2*x[70]+8*x[71]+9*x[73]+7*x[74]+4*x[76]+2*x[78]+x[80]+x[83]+x[84]+x[87])*q^28 + (3*x[14]+11*x[15]+4*x[17]+7*x[18]+19*x[21]+30*x[24]+42*x[29]+6*x[36]+3*x[37]+25*x[40]+21*x[41]+12*x[43]+21*x[46]+11*x[47]+17*x[50]+48*x[51]+18*x[54]+32*x[55]+17*x[58]+9*x[61]+12*x[65]+13*x[68]+14*x[69]+2*x[72]+15*x[75]+3*x[79]+2*x[85]+2*x[86]+x[88])*q^27 + (x[9]+2*x[13]+8*x[16]+15*x[19]+7*x[20]+9*x[22]+5*x[23]+22*x[25]+22*x[26]+17*x[27]+11*x[28]+33*x[30]+10*x[31]+10*x[32]+3*x[34]+5*x[35]+19*x[38]+15*x[39]+4*x[42]+3*x[44]+35*x[45]+10*x[48]+22*x[49]+48*x[52]+33*x[53]+29*x[56]+7*x[57]+17*x[59]+17*x[60]+2*x[62]+7*x[63]+3*x[64]+5*x[66]+20*x[67]+4*x[70]+13*x[71]+15*x[73]+12*x[74]+9*x[76]+5*x[78]+4*x[80]+2*x[83]+2*x[84]+3*x[87]+x[90])*q^26 + (x[14]+6*x[15]+2*x[17]+6*x[18]+16*x[21]+25*x[24]+43*x[29]+4*x[36]+2*x[37]+24*x[40]+20*x[41]+13*x[43]+22*x[46]+13*x[47]+17*x[50]+54*x[51]+22*x[54]+43*x[55]+25*x[58]+16*x[61]+13*x[65]+18*x[68]+20*x[69]+6*x[72]+26*x[75]+6*x[79]+5*x[85]+2*x[86]+2*x[88]+2*x[91])*q^25 + (x[10]+x[13]+4*x[16]+9*x[19]+6*x[20]+9*x[22]+2*x[23]+18*x[25]+18*x[26]+15*x[27]+10*x[28]+30*x[30]+12*x[31]+12*x[32]+2*x[34]+4*x[35]+16*x[38]+11*x[39]+4*x[42]+3*x[44]+35*x[45]+11*x[48]+20*x[49]+52*x[52]+37*x[53]+34*x[56]+11*x[57]+24*x[59]+24*x[60]+2*x[62]+7*x[63]+5*x[64]+6*x[66]+23*x[67]+5*x[70]+20*x[71]+22*x[73]+16*x[74]+15*x[76]+x[77]+9*x[78]+9*x[80]+3*x[83]+3*x[84]+6*x[87]+x[89]+3*x[90])*q^24 + (3*x[15]+x[17]+3*x[18]+11*x[21]+17*x[24]+37*x[29]+2*x[36]+x[37]+19*x[40]+16*x[41]+13*x[43]+21*x[46]+14*x[47]+14*x[50]+54*x[51]+24*x[54]+48*x[55]+29*x[58]+22*x[61]+13*x[65]+19*x[68]+24*x[69]+8*x[72]+36*x[75]+13*x[79]+8*x[85]+4*x[86]+5*x[88]+4*x[91])*q^23 + (2*x[16]+6*x[19]+2*x[20]+5*x[22]+x[23]+12*x[25]+12*x[26]+9*x[27]+9*x[28]+25*x[30]+10*x[31]+10*x[32]+x[34]+3*x[35]+10*x[38]+8*x[39]+3*x[42]+4*x[44]+30*x[45]+13*x[48]+16*x[49]+47*x[52]+37*x[53]+37*x[56]+12*x[57]+28*x[59]+28*x[60]+x[62]+7*x[63]+4*x[64]+5*x[66]+25*x[67]+6*x[70]+22*x[71]+25*x[73]+19*x[74]+21*x[76]+x[77]+11*x[78]+15*x[80]+x[81]+x[82]+3*x[83]+5*x[84]+10*x[87]+x[89]+7*x[90]+x[93])*q^22 + (x[15]+2*x[18]+6*x[21]+9*x[24]+28*x[29]+x[36]+13*x[40]+11*x[41]+10*x[43]+16*x[46]+13*x[47]+11*x[50]+45*x[51]+21*x[54]+47*x[55]+30*x[58]+26*x[61]+10*x[65]+19*x[68]+25*x[69]+10*x[72]+42*x[75]+18*x[79]+11*x[85]+5*x[86]+8*x[88]+7*x[91]+2*x[92]+x[95])*q^21 + (2*x[19]+2*x[20]+4*x[22]+7*x[25]+7*x[26]+6*x[27]+5*x[28]+16*x[30]+9*x[31]+9*x[32]+2*x[35]+6*x[38]+4*x[39]+3*x[42]+2*x[44]+22*x[45]+10*x[48]+10*x[49]+37*x[52]+31*x[53]+32*x[56]+13*x[57]+29*x[59]+29*x[60]+x[62]+5*x[63]+5*x[64]+4*x[66]+21*x[67]+6*x[70]+24*x[71]+26*x[73]+19*x[74]+24*x[76]+x[77]+14*x[78]+19*x[80]+2*x[81]+2*x[82]+3*x[83]+6*x[84]+13*x[87]+2*x[89]+11*x[90]+x[93]+x[94]+x[96])*q^20 + (x[18]+3*x[21]+4*x[24]+17*x[29]+7*x[40]+6*x[41]+7*x[43]+11*x[46]+10*x[47]+6*x[50]+33*x[51]+17*x[54]+39*x[55]+26*x[58]+26*x[61]+8*x[65]+15*x[68]+22*x[69]+11*x[72]+42*x[75]+23*x[79]+12*x[85]+6*x[86]+11*x[88]+10*x[91]+3*x[92]+2*x[95])*q^19 + (x[19]+x[22]+3*x[25]+3*x[26]+2*x[27]+4*x[28]+10*x[30]+5*x[31]+5*x[32]+x[35]+2*x[38]+2*x[39]+x[42]+2*x[44]+14*x[45]+9*x[48]+6*x[49]+24*x[52]+22*x[53]+26*x[56]+11*x[57]+25*x[59]+25*x[60]+4*x[63]+3*x[64]+2*x[66]+17*x[67]+6*x[70]+19*x[71]+22*x[73]+17*x[74]+25*x[76]+x[77]+13*x[78]+22*x[80]+3*x[81]+3*x[82]+3*x[83]+6*x[84]+15*x[87]+3*x[89]+14*x[90]+2*x[93]+x[94]+2*x[96]+x[97])*q^18 + (x[21]+x[24]+9*x[29]+3*x[40]+3*x[41]+4*x[43]+6*x[46]+7*x[47]+3*x[50]+20*x[51]+11*x[54]+28*x[55]+20*x[58]+23*x[61]+4*x[65]+11*x[68]+17*x[69]+10*x[72]+36*x[75]+23*x[79]+12*x[85]+5*x[86]+12*x[88]+13*x[91]+5*x[92]+4*x[95])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+4*x[30]+4*x[31]+4*x[32]+x[38]+x[42]+x[44]+7*x[45]+5*x[48]+2*x[49]+14*x[52]+14*x[53]+16*x[56]+9*x[57]+19*x[59]+19*x[60]+2*x[63]+3*x[64]+2*x[66]+10*x[67]+4*x[70]+16*x[71]+17*x[73]+12*x[74]+20*x[76]+2*x[77]+12*x[78]+21*x[80]+4*x[81]+4*x[82]+2*x[83]+6*x[84]+14*x[87]+3*x[89]+16*x[90]+2*x[93]+2*x[94]+3*x[96]+2*x[97])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+3*x[46]+4*x[47]+x[50]+10*x[51]+6*x[54]+17*x[55]+13*x[58]+17*x[61]+2*x[65]+6*x[68]+11*x[69]+8*x[72]+27*x[75]+21*x[79]+10*x[85]+5*x[86]+12*x[88]+12*x[91]+7*x[92]+5*x[95])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+4*x[48]+x[49]+6*x[52]+7*x[53]+10*x[56]+5*x[57]+12*x[59]+12*x[60]+x[63]+x[64]+6*x[67]+3*x[70]+9*x[71]+10*x[73]+8*x[74]+16*x[76]+x[77]+8*x[78]+18*x[80]+4*x[81]+4*x[82]+x[83]+5*x[84]+12*x[87]+3*x[89]+15*x[90]+3*x[93]+2*x[94]+3*x[96]+3*x[97])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+9*x[55]+7*x[58]+11*x[61]+x[65]+3*x[68]+6*x[69]+6*x[72]+17*x[75]+16*x[79]+7*x[85]+3*x[86]+9*x[88]+11*x[91]+7*x[92]+7*x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+7*x[59]+7*x[60]+x[64]+2*x[67]+2*x[70]+6*x[71]+6*x[73]+4*x[74]+9*x[76]+x[77]+6*x[78]+12*x[80]+4*x[81]+4*x[82]+x[83]+3*x[84]+8*x[87]+2*x[89]+12*x[90]+2*x[93]+3*x[94]+4*x[96]+4*x[97]+x[98])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+9*x[75]+11*x[79]+4*x[85]+2*x[86]+7*x[88]+8*x[91]+6*x[92]+6*x[95]+x[99])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+8*x[80]+3*x[81]+3*x[82]+2*x[84]+5*x[87]+2*x[89]+8*x[90]+2*x[93]+2*x[94]+3*x[96]+4*x[97]+x[98])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+5*x[91]+5*x[92]+5*x[95]+x[99])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+3*x[96]+3*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+2*x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #3 : [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] dim = 44 A(O) = 1 , |A(O)_0| = 1 g_s = 6*V[2]+32*V[1]+38*V[0] Z_G(x)_0 = O8+Sp4 # Green Polys by orbit reps #3.1 : x[3] : [2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[1, 1], [1, 1, 1, 1, 1, 1]] Qxi[D8,3,1] = (x[3])*q^34 + (x[4]+x[11]+x[14])*q^33 + (x[5]+x[6]+x[8]+x[12]+2*x[13]+x[16]+x[20]+x[23])*q^32 + (2*x[4]+x[11]+2*x[14]+3*x[15]+2*x[17]+x[21]+2*x[24]+x[36]+x[37])*q^31 + (x[5]+x[6]+x[9]+4*x[13]+5*x[16]+4*x[19]+x[20]+3*x[23]+2*x[25]+2*x[26]+x[27]+x[30]+x[33]+x[34]+x[38]+2*x[39]+x[49])*q^30 + (x[4]+3*x[14]+7*x[15]+4*x[17]+2*x[18]+5*x[21]+8*x[24]+3*x[29]+3*x[36]+x[37]+3*x[40]+2*x[41]+x[46]+2*x[50]+x[51])*q^29 + (x[5]+x[6]+x[9]+x[10]+4*x[13]+7*x[16]+7*x[19]+5*x[20]+4*x[22]+4*x[23]+7*x[25]+7*x[26]+6*x[27]+x[28]+5*x[30]+x[31]+x[32]+2*x[34]+x[35]+7*x[38]+4*x[39]+x[42]+3*x[45]+3*x[49]+4*x[52]+x[53]+x[62]+x[66])*q^28 + (3*x[14]+8*x[15]+3*x[17]+5*x[18]+10*x[21]+15*x[24]+12*x[29]+4*x[36]+x[37]+9*x[40]+7*x[41]+2*x[43]+5*x[46]+x[47]+5*x[50]+8*x[51]+2*x[54]+2*x[55]+x[58]+2*x[65]+x[68])*q^27 + (x[9]+2*x[13]+7*x[16]+11*x[19]+5*x[20]+5*x[22]+4*x[23]+12*x[25]+12*x[26]+9*x[27]+5*x[28]+14*x[30]+2*x[31]+2*x[32]+2*x[34]+3*x[35]+10*x[38]+8*x[39]+x[42]+x[44]+12*x[45]+2*x[48]+9*x[49]+13*x[52]+6*x[53]+5*x[56]+x[59]+x[60]+x[62]+2*x[63]+x[66]+3*x[67]+x[73]+x[74])*q^26 + (x[14]+6*x[15]+2*x[17]+5*x[18]+12*x[21]+18*x[24]+23*x[29]+3*x[36]+2*x[37]+14*x[40]+12*x[41]+6*x[43]+10*x[46]+4*x[47]+8*x[50]+21*x[51]+7*x[54]+11*x[55]+5*x[58]+x[61]+5*x[65]+5*x[68]+3*x[69]+2*x[75])*q^25 + (x[10]+x[13]+4*x[16]+8*x[19]+5*x[20]+7*x[22]+2*x[23]+14*x[25]+14*x[26]+12*x[27]+6*x[28]+19*x[30]+7*x[31]+7*x[32]+2*x[34]+3*x[35]+12*x[38]+8*x[39]+3*x[42]+x[44]+21*x[45]+3*x[48]+12*x[49]+26*x[52]+16*x[53]+12*x[56]+3*x[57]+6*x[59]+6*x[60]+x[62]+3*x[63]+2*x[64]+3*x[66]+8*x[67]+x[70]+5*x[71]+5*x[73]+4*x[74]+x[76]+x[78]+x[83])*q^24 + (3*x[15]+x[17]+3*x[18]+10*x[21]+15*x[24]+28*x[29]+2*x[36]+x[37]+15*x[40]+13*x[41]+9*x[43]+14*x[46]+8*x[47]+10*x[50]+33*x[51]+13*x[54]+24*x[55]+12*x[58]+6*x[61]+7*x[65]+9*x[68]+10*x[69]+x[72]+10*x[75]+x[79]+x[85]+x[86])*q^23 + (2*x[16]+6*x[19]+2*x[20]+5*x[22]+x[23]+11*x[25]+11*x[26]+8*x[27]+8*x[28]+21*x[30]+7*x[31]+7*x[32]+x[34]+3*x[35]+9*x[38]+7*x[39]+2*x[42]+3*x[44]+23*x[45]+9*x[48]+13*x[49]+33*x[52]+25*x[53]+23*x[56]+5*x[57]+13*x[59]+13*x[60]+x[62]+5*x[63]+2*x[64]+3*x[66]+15*x[67]+3*x[70]+10*x[71]+11*x[73]+9*x[74]+7*x[76]+3*x[78]+3*x[80]+x[83]+x[84]+2*x[87])*q^22 + (x[15]+2*x[18]+6*x[21]+9*x[24]+25*x[29]+x[36]+12*x[40]+10*x[41]+9*x[43]+14*x[46]+10*x[47]+9*x[50]+36*x[51]+16*x[54]+33*x[55]+19*x[58]+14*x[61]+8*x[65]+12*x[68]+16*x[69]+5*x[72]+22*x[75]+5*x[79]+4*x[85]+2*x[86]+x[88]+x[91])*q^21 + (2*x[19]+2*x[20]+4*x[22]+7*x[25]+7*x[26]+6*x[27]+5*x[28]+15*x[30]+8*x[31]+8*x[32]+2*x[35]+6*x[38]+4*x[39]+3*x[42]+2*x[44]+20*x[45]+8*x[48]+9*x[49]+32*x[52]+26*x[53]+25*x[56]+10*x[57]+20*x[59]+20*x[60]+x[62]+4*x[63]+4*x[64]+3*x[66]+16*x[67]+4*x[70]+17*x[71]+18*x[73]+12*x[74]+13*x[76]+x[77]+9*x[78]+8*x[80]+2*x[83]+3*x[84]+5*x[87]+3*x[90])*q^20 + (x[18]+3*x[21]+4*x[24]+17*x[29]+7*x[40]+6*x[41]+7*x[43]+10*x[46]+9*x[47]+6*x[50]+30*x[51]+15*x[54]+34*x[55]+21*x[58]+19*x[61]+7*x[65]+13*x[68]+18*x[69]+8*x[72]+30*x[75]+13*x[79]+7*x[85]+3*x[86]+5*x[88]+4*x[91])*q^19 + (x[19]+x[22]+3*x[25]+3*x[26]+2*x[27]+4*x[28]+10*x[30]+5*x[31]+5*x[32]+x[35]+2*x[38]+2*x[39]+x[42]+2*x[44]+14*x[45]+8*x[48]+6*x[49]+23*x[52]+21*x[53]+24*x[56]+9*x[57]+21*x[59]+21*x[60]+4*x[63]+3*x[64]+2*x[66]+15*x[67]+5*x[70]+16*x[71]+18*x[73]+14*x[74]+20*x[76]+9*x[78]+15*x[80]+x[81]+x[82]+2*x[83]+4*x[84]+10*x[87]+2*x[89]+7*x[90]+x[93])*q^18 + (x[21]+x[24]+9*x[29]+3*x[40]+3*x[41]+4*x[43]+6*x[46]+7*x[47]+3*x[50]+20*x[51]+11*x[54]+27*x[55]+18*x[58]+20*x[61]+4*x[65]+10*x[68]+16*x[69]+8*x[72]+31*x[75]+18*x[79]+9*x[85]+4*x[86]+9*x[88]+8*x[91]+2*x[92]+x[95])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+4*x[30]+4*x[31]+4*x[32]+x[38]+x[42]+x[44]+7*x[45]+5*x[48]+2*x[49]+14*x[52]+14*x[53]+16*x[56]+9*x[57]+18*x[59]+18*x[60]+2*x[63]+3*x[64]+2*x[66]+10*x[67]+4*x[70]+15*x[71]+16*x[73]+11*x[74]+18*x[76]+2*x[77]+11*x[78]+17*x[80]+3*x[81]+3*x[82]+2*x[83]+5*x[84]+11*x[87]+2*x[89]+12*x[90]+x[93]+x[94]+2*x[96])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+3*x[46]+4*x[47]+x[50]+10*x[51]+6*x[54]+17*x[55]+13*x[58]+17*x[61]+2*x[65]+6*x[68]+11*x[69]+8*x[72]+26*x[75]+18*x[79]+9*x[85]+4*x[86]+10*x[88]+10*x[91]+5*x[92]+3*x[95])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+4*x[48]+x[49]+6*x[52]+7*x[53]+10*x[56]+5*x[57]+12*x[59]+12*x[60]+x[63]+x[64]+6*x[67]+3*x[70]+9*x[71]+10*x[73]+8*x[74]+16*x[76]+x[77]+8*x[78]+17*x[80]+3*x[81]+3*x[82]+x[83]+5*x[84]+11*x[87]+3*x[89]+13*x[90]+2*x[93]+x[94]+2*x[96]+2*x[97])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+9*x[55]+7*x[58]+11*x[61]+x[65]+3*x[68]+6*x[69]+6*x[72]+17*x[75]+16*x[79]+7*x[85]+3*x[86]+9*x[88]+10*x[91]+6*x[92]+5*x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+7*x[59]+7*x[60]+x[64]+2*x[67]+2*x[70]+6*x[71]+6*x[73]+4*x[74]+9*x[76]+x[77]+6*x[78]+12*x[80]+4*x[81]+4*x[82]+x[83]+3*x[84]+8*x[87]+2*x[89]+12*x[90]+2*x[93]+3*x[94]+3*x[96]+3*x[97])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+9*x[75]+11*x[79]+4*x[85]+2*x[86]+7*x[88]+8*x[91]+6*x[92]+6*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+8*x[80]+3*x[81]+3*x[82]+2*x[84]+5*x[87]+2*x[89]+8*x[90]+2*x[93]+2*x[94]+3*x[96]+4*x[97]+x[98])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+5*x[91]+5*x[92]+5*x[95]+x[99])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+3*x[96]+3*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+2*x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #3.1 : c = () |O_x_c^F| = q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)^2*(q^12-1)*(q^14-1) Qxc[D8,3,1] = (x[3])*q^34 + (x[4]+x[11]+x[14])*q^33 + (x[5]+x[6]+x[8]+x[12]+2*x[13]+x[16]+x[20]+x[23])*q^32 + (2*x[4]+x[11]+2*x[14]+3*x[15]+2*x[17]+x[21]+2*x[24]+x[36]+x[37])*q^31 + (x[5]+x[6]+x[9]+4*x[13]+5*x[16]+4*x[19]+x[20]+3*x[23]+2*x[25]+2*x[26]+x[27]+x[30]+x[33]+x[34]+x[38]+2*x[39]+x[49])*q^30 + (x[4]+3*x[14]+7*x[15]+4*x[17]+2*x[18]+5*x[21]+8*x[24]+3*x[29]+3*x[36]+x[37]+3*x[40]+2*x[41]+x[46]+2*x[50]+x[51])*q^29 + (x[5]+x[6]+x[9]+x[10]+4*x[13]+7*x[16]+7*x[19]+5*x[20]+4*x[22]+4*x[23]+7*x[25]+7*x[26]+6*x[27]+x[28]+5*x[30]+x[31]+x[32]+2*x[34]+x[35]+7*x[38]+4*x[39]+x[42]+3*x[45]+3*x[49]+4*x[52]+x[53]+x[62]+x[66])*q^28 + (3*x[14]+8*x[15]+3*x[17]+5*x[18]+10*x[21]+15*x[24]+12*x[29]+4*x[36]+x[37]+9*x[40]+7*x[41]+2*x[43]+5*x[46]+x[47]+5*x[50]+8*x[51]+2*x[54]+2*x[55]+x[58]+2*x[65]+x[68])*q^27 + (x[9]+2*x[13]+7*x[16]+11*x[19]+5*x[20]+5*x[22]+4*x[23]+12*x[25]+12*x[26]+9*x[27]+5*x[28]+14*x[30]+2*x[31]+2*x[32]+2*x[34]+3*x[35]+10*x[38]+8*x[39]+x[42]+x[44]+12*x[45]+2*x[48]+9*x[49]+13*x[52]+6*x[53]+5*x[56]+x[59]+x[60]+x[62]+2*x[63]+x[66]+3*x[67]+x[73]+x[74])*q^26 + (x[14]+6*x[15]+2*x[17]+5*x[18]+12*x[21]+18*x[24]+23*x[29]+3*x[36]+2*x[37]+14*x[40]+12*x[41]+6*x[43]+10*x[46]+4*x[47]+8*x[50]+21*x[51]+7*x[54]+11*x[55]+5*x[58]+x[61]+5*x[65]+5*x[68]+3*x[69]+2*x[75])*q^25 + (x[10]+x[13]+4*x[16]+8*x[19]+5*x[20]+7*x[22]+2*x[23]+14*x[25]+14*x[26]+12*x[27]+6*x[28]+19*x[30]+7*x[31]+7*x[32]+2*x[34]+3*x[35]+12*x[38]+8*x[39]+3*x[42]+x[44]+21*x[45]+3*x[48]+12*x[49]+26*x[52]+16*x[53]+12*x[56]+3*x[57]+6*x[59]+6*x[60]+x[62]+3*x[63]+2*x[64]+3*x[66]+8*x[67]+x[70]+5*x[71]+5*x[73]+4*x[74]+x[76]+x[78]+x[83])*q^24 + (3*x[15]+x[17]+3*x[18]+10*x[21]+15*x[24]+28*x[29]+2*x[36]+x[37]+15*x[40]+13*x[41]+9*x[43]+14*x[46]+8*x[47]+10*x[50]+33*x[51]+13*x[54]+24*x[55]+12*x[58]+6*x[61]+7*x[65]+9*x[68]+10*x[69]+x[72]+10*x[75]+x[79]+x[85]+x[86])*q^23 + (2*x[16]+6*x[19]+2*x[20]+5*x[22]+x[23]+11*x[25]+11*x[26]+8*x[27]+8*x[28]+21*x[30]+7*x[31]+7*x[32]+x[34]+3*x[35]+9*x[38]+7*x[39]+2*x[42]+3*x[44]+23*x[45]+9*x[48]+13*x[49]+33*x[52]+25*x[53]+23*x[56]+5*x[57]+13*x[59]+13*x[60]+x[62]+5*x[63]+2*x[64]+3*x[66]+15*x[67]+3*x[70]+10*x[71]+11*x[73]+9*x[74]+7*x[76]+3*x[78]+3*x[80]+x[83]+x[84]+2*x[87])*q^22 + (x[15]+2*x[18]+6*x[21]+9*x[24]+25*x[29]+x[36]+12*x[40]+10*x[41]+9*x[43]+14*x[46]+10*x[47]+9*x[50]+36*x[51]+16*x[54]+33*x[55]+19*x[58]+14*x[61]+8*x[65]+12*x[68]+16*x[69]+5*x[72]+22*x[75]+5*x[79]+4*x[85]+2*x[86]+x[88]+x[91])*q^21 + (2*x[19]+2*x[20]+4*x[22]+7*x[25]+7*x[26]+6*x[27]+5*x[28]+15*x[30]+8*x[31]+8*x[32]+2*x[35]+6*x[38]+4*x[39]+3*x[42]+2*x[44]+20*x[45]+8*x[48]+9*x[49]+32*x[52]+26*x[53]+25*x[56]+10*x[57]+20*x[59]+20*x[60]+x[62]+4*x[63]+4*x[64]+3*x[66]+16*x[67]+4*x[70]+17*x[71]+18*x[73]+12*x[74]+13*x[76]+x[77]+9*x[78]+8*x[80]+2*x[83]+3*x[84]+5*x[87]+3*x[90])*q^20 + (x[18]+3*x[21]+4*x[24]+17*x[29]+7*x[40]+6*x[41]+7*x[43]+10*x[46]+9*x[47]+6*x[50]+30*x[51]+15*x[54]+34*x[55]+21*x[58]+19*x[61]+7*x[65]+13*x[68]+18*x[69]+8*x[72]+30*x[75]+13*x[79]+7*x[85]+3*x[86]+5*x[88]+4*x[91])*q^19 + (x[19]+x[22]+3*x[25]+3*x[26]+2*x[27]+4*x[28]+10*x[30]+5*x[31]+5*x[32]+x[35]+2*x[38]+2*x[39]+x[42]+2*x[44]+14*x[45]+8*x[48]+6*x[49]+23*x[52]+21*x[53]+24*x[56]+9*x[57]+21*x[59]+21*x[60]+4*x[63]+3*x[64]+2*x[66]+15*x[67]+5*x[70]+16*x[71]+18*x[73]+14*x[74]+20*x[76]+9*x[78]+15*x[80]+x[81]+x[82]+2*x[83]+4*x[84]+10*x[87]+2*x[89]+7*x[90]+x[93])*q^18 + (x[21]+x[24]+9*x[29]+3*x[40]+3*x[41]+4*x[43]+6*x[46]+7*x[47]+3*x[50]+20*x[51]+11*x[54]+27*x[55]+18*x[58]+20*x[61]+4*x[65]+10*x[68]+16*x[69]+8*x[72]+31*x[75]+18*x[79]+9*x[85]+4*x[86]+9*x[88]+8*x[91]+2*x[92]+x[95])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+4*x[30]+4*x[31]+4*x[32]+x[38]+x[42]+x[44]+7*x[45]+5*x[48]+2*x[49]+14*x[52]+14*x[53]+16*x[56]+9*x[57]+18*x[59]+18*x[60]+2*x[63]+3*x[64]+2*x[66]+10*x[67]+4*x[70]+15*x[71]+16*x[73]+11*x[74]+18*x[76]+2*x[77]+11*x[78]+17*x[80]+3*x[81]+3*x[82]+2*x[83]+5*x[84]+11*x[87]+2*x[89]+12*x[90]+x[93]+x[94]+2*x[96])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+3*x[46]+4*x[47]+x[50]+10*x[51]+6*x[54]+17*x[55]+13*x[58]+17*x[61]+2*x[65]+6*x[68]+11*x[69]+8*x[72]+26*x[75]+18*x[79]+9*x[85]+4*x[86]+10*x[88]+10*x[91]+5*x[92]+3*x[95])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+4*x[48]+x[49]+6*x[52]+7*x[53]+10*x[56]+5*x[57]+12*x[59]+12*x[60]+x[63]+x[64]+6*x[67]+3*x[70]+9*x[71]+10*x[73]+8*x[74]+16*x[76]+x[77]+8*x[78]+17*x[80]+3*x[81]+3*x[82]+x[83]+5*x[84]+11*x[87]+3*x[89]+13*x[90]+2*x[93]+x[94]+2*x[96]+2*x[97])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+9*x[55]+7*x[58]+11*x[61]+x[65]+3*x[68]+6*x[69]+6*x[72]+17*x[75]+16*x[79]+7*x[85]+3*x[86]+9*x[88]+10*x[91]+6*x[92]+5*x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+7*x[59]+7*x[60]+x[64]+2*x[67]+2*x[70]+6*x[71]+6*x[73]+4*x[74]+9*x[76]+x[77]+6*x[78]+12*x[80]+4*x[81]+4*x[82]+x[83]+3*x[84]+8*x[87]+2*x[89]+12*x[90]+2*x[93]+3*x[94]+3*x[96]+3*x[97])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+9*x[75]+11*x[79]+4*x[85]+2*x[86]+7*x[88]+8*x[91]+6*x[92]+6*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+8*x[80]+3*x[81]+3*x[82]+2*x[84]+5*x[87]+2*x[89]+8*x[90]+2*x[93]+2*x[94]+3*x[96]+4*x[97]+x[98])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+5*x[91]+5*x[92]+5*x[95]+x[99])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+3*x[96]+3*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+2*x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #4 : [2, 2, 2, 2, 2, 2, 1, 1, 1, 1] dim = 54 A(O) = 1 , |A(O)_0| = 1 g_s = 15*V[2]+24*V[1]+27*V[0] Z_G(x)_0 = Sp6+O4 # Green Polys by orbit reps #4.1 : x[4] : [2, 2, 2, 2, 2, 2, 1, 1, 1, 1],[] : [[1, 1, 1], [1, 1, 1, 1, 1]] Qxi[D8,4,1] = (x[4])*q^29 + (x[5]+x[6]+x[13]+x[16])*q^28 + (x[14]+3*x[15]+x[17]+x[21]+x[24])*q^27 + (x[9]+x[13]+3*x[16]+3*x[19]+x[20]+x[22]+x[23]+2*x[25]+2*x[26]+x[27]+x[30]+x[38]+x[39])*q^26 + (x[14]+3*x[15]+x[17]+3*x[18]+4*x[21]+5*x[24]+4*x[29]+x[36]+3*x[40]+x[41]+x[46]+x[50]+x[51])*q^25 + (x[10]+x[13]+3*x[16]+4*x[19]+3*x[20]+3*x[22]+x[23]+5*x[25]+5*x[26]+4*x[27]+2*x[28]+5*x[30]+x[31]+x[32]+x[34]+x[35]+4*x[38]+2*x[39]+4*x[45]+2*x[49]+4*x[52]+x[53]+x[56])*q^24 + (3*x[15]+x[17]+2*x[18]+6*x[21]+8*x[24]+10*x[29]+x[36]+x[37]+6*x[40]+5*x[41]+3*x[43]+4*x[46]+x[47]+2*x[50]+8*x[51]+3*x[54]+4*x[55]+x[58]+x[65]+x[68])*q^23 + (2*x[16]+5*x[19]+x[20]+3*x[22]+x[23]+7*x[25]+7*x[26]+5*x[27]+4*x[28]+10*x[30]+3*x[31]+3*x[32]+x[34]+2*x[35]+5*x[38]+4*x[39]+x[42]+x[44]+10*x[45]+2*x[48]+5*x[49]+11*x[52]+7*x[53]+6*x[56]+x[57]+2*x[59]+2*x[60]+x[63]+x[66]+3*x[67]+x[71]+x[73]+x[74])*q^22 + (x[15]+2*x[18]+5*x[21]+7*x[24]+16*x[29]+x[36]+8*x[40]+7*x[41]+5*x[43]+7*x[46]+4*x[47]+5*x[50]+16*x[51]+6*x[54]+12*x[55]+5*x[58]+3*x[61]+2*x[65]+4*x[68]+4*x[69]+4*x[75])*q^21 + (2*x[19]+2*x[20]+4*x[22]+6*x[25]+6*x[26]+5*x[27]+4*x[28]+11*x[30]+5*x[31]+5*x[32]+2*x[35]+5*x[38]+3*x[39]+2*x[42]+x[44]+13*x[45]+4*x[48]+6*x[49]+18*x[52]+14*x[53]+12*x[56]+3*x[57]+7*x[59]+7*x[60]+x[62]+2*x[63]+2*x[64]+x[66]+7*x[67]+x[70]+6*x[71]+5*x[73]+4*x[74]+3*x[76]+2*x[78]+x[80])*q^20 + (x[18]+3*x[21]+4*x[24]+14*x[29]+6*x[40]+5*x[41]+6*x[43]+8*x[46]+6*x[47]+4*x[50]+21*x[51]+10*x[54]+20*x[55]+10*x[58]+8*x[61]+5*x[65]+6*x[68]+9*x[69]+3*x[72]+12*x[75]+3*x[79]+x[85]+x[86])*q^19 + (x[19]+x[22]+3*x[25]+3*x[26]+2*x[27]+4*x[28]+9*x[30]+4*x[31]+4*x[32]+x[35]+2*x[38]+2*x[39]+x[42]+2*x[44]+12*x[45]+6*x[48]+5*x[49]+18*x[52]+16*x[53]+17*x[56]+6*x[57]+12*x[59]+12*x[60]+3*x[63]+2*x[64]+x[66]+10*x[67]+3*x[70]+9*x[71]+10*x[73]+7*x[74]+9*x[76]+5*x[78]+5*x[80]+x[83]+x[84]+3*x[87]+x[90])*q^18 + (x[21]+x[24]+9*x[29]+3*x[40]+3*x[41]+4*x[43]+5*x[46]+6*x[47]+3*x[50]+17*x[51]+9*x[54]+22*x[55]+13*x[58]+13*x[61]+3*x[65]+8*x[68]+12*x[69]+5*x[72]+19*x[75]+8*x[79]+4*x[85]+x[86]+3*x[88]+3*x[91])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+4*x[30]+4*x[31]+4*x[32]+x[38]+x[42]+x[44]+7*x[45]+4*x[48]+2*x[49]+13*x[52]+13*x[53]+14*x[56]+7*x[57]+14*x[59]+14*x[60]+2*x[63]+3*x[64]+2*x[66]+8*x[67]+3*x[70]+12*x[71]+12*x[73]+8*x[74]+13*x[76]+x[77]+7*x[78]+10*x[80]+x[81]+x[82]+x[83]+3*x[84]+6*x[87]+x[89]+5*x[90])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+3*x[46]+4*x[47]+x[50]+10*x[51]+6*x[54]+16*x[55]+11*x[58]+14*x[61]+2*x[65]+5*x[68]+10*x[69]+6*x[72]+21*x[75]+13*x[79]+6*x[85]+3*x[86]+7*x[88]+5*x[91]+2*x[92])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+4*x[48]+x[49]+6*x[52]+7*x[53]+10*x[56]+5*x[57]+11*x[59]+11*x[60]+x[63]+x[64]+6*x[67]+3*x[70]+8*x[71]+9*x[73]+7*x[74]+14*x[76]+x[77]+7*x[78]+13*x[80]+2*x[81]+2*x[82]+x[83]+4*x[84]+8*x[87]+2*x[89]+9*x[90]+x[93]+x[96])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+9*x[55]+7*x[58]+11*x[61]+x[65]+3*x[68]+6*x[69]+6*x[72]+16*x[75]+13*x[79]+6*x[85]+2*x[86]+7*x[88]+8*x[91]+4*x[92]+3*x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+7*x[59]+7*x[60]+x[64]+2*x[67]+2*x[70]+6*x[71]+6*x[73]+4*x[74]+9*x[76]+x[77]+6*x[78]+11*x[80]+3*x[81]+3*x[82]+x[83]+3*x[84]+7*x[87]+2*x[89]+10*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+9*x[75]+11*x[79]+4*x[85]+2*x[86]+7*x[88]+7*x[91]+5*x[92]+4*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+8*x[80]+3*x[81]+3*x[82]+2*x[84]+5*x[87]+2*x[89]+8*x[90]+2*x[93]+2*x[94]+2*x[96]+3*x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+5*x[91]+5*x[92]+5*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+3*x[96]+3*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+2*x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #4.1 : c = () |O_x_c^F| = q^6*(q^2+1)^2*(q^4+1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,4,1] = (x[4])*q^29 + (x[5]+x[6]+x[13]+x[16])*q^28 + (x[14]+3*x[15]+x[17]+x[21]+x[24])*q^27 + (x[9]+x[13]+3*x[16]+3*x[19]+x[20]+x[22]+x[23]+2*x[25]+2*x[26]+x[27]+x[30]+x[38]+x[39])*q^26 + (x[14]+3*x[15]+x[17]+3*x[18]+4*x[21]+5*x[24]+4*x[29]+x[36]+3*x[40]+x[41]+x[46]+x[50]+x[51])*q^25 + (x[10]+x[13]+3*x[16]+4*x[19]+3*x[20]+3*x[22]+x[23]+5*x[25]+5*x[26]+4*x[27]+2*x[28]+5*x[30]+x[31]+x[32]+x[34]+x[35]+4*x[38]+2*x[39]+4*x[45]+2*x[49]+4*x[52]+x[53]+x[56])*q^24 + (3*x[15]+x[17]+2*x[18]+6*x[21]+8*x[24]+10*x[29]+x[36]+x[37]+6*x[40]+5*x[41]+3*x[43]+4*x[46]+x[47]+2*x[50]+8*x[51]+3*x[54]+4*x[55]+x[58]+x[65]+x[68])*q^23 + (2*x[16]+5*x[19]+x[20]+3*x[22]+x[23]+7*x[25]+7*x[26]+5*x[27]+4*x[28]+10*x[30]+3*x[31]+3*x[32]+x[34]+2*x[35]+5*x[38]+4*x[39]+x[42]+x[44]+10*x[45]+2*x[48]+5*x[49]+11*x[52]+7*x[53]+6*x[56]+x[57]+2*x[59]+2*x[60]+x[63]+x[66]+3*x[67]+x[71]+x[73]+x[74])*q^22 + (x[15]+2*x[18]+5*x[21]+7*x[24]+16*x[29]+x[36]+8*x[40]+7*x[41]+5*x[43]+7*x[46]+4*x[47]+5*x[50]+16*x[51]+6*x[54]+12*x[55]+5*x[58]+3*x[61]+2*x[65]+4*x[68]+4*x[69]+4*x[75])*q^21 + (2*x[19]+2*x[20]+4*x[22]+6*x[25]+6*x[26]+5*x[27]+4*x[28]+11*x[30]+5*x[31]+5*x[32]+2*x[35]+5*x[38]+3*x[39]+2*x[42]+x[44]+13*x[45]+4*x[48]+6*x[49]+18*x[52]+14*x[53]+12*x[56]+3*x[57]+7*x[59]+7*x[60]+x[62]+2*x[63]+2*x[64]+x[66]+7*x[67]+x[70]+6*x[71]+5*x[73]+4*x[74]+3*x[76]+2*x[78]+x[80])*q^20 + (x[18]+3*x[21]+4*x[24]+14*x[29]+6*x[40]+5*x[41]+6*x[43]+8*x[46]+6*x[47]+4*x[50]+21*x[51]+10*x[54]+20*x[55]+10*x[58]+8*x[61]+5*x[65]+6*x[68]+9*x[69]+3*x[72]+12*x[75]+3*x[79]+x[85]+x[86])*q^19 + (x[19]+x[22]+3*x[25]+3*x[26]+2*x[27]+4*x[28]+9*x[30]+4*x[31]+4*x[32]+x[35]+2*x[38]+2*x[39]+x[42]+2*x[44]+12*x[45]+6*x[48]+5*x[49]+18*x[52]+16*x[53]+17*x[56]+6*x[57]+12*x[59]+12*x[60]+3*x[63]+2*x[64]+x[66]+10*x[67]+3*x[70]+9*x[71]+10*x[73]+7*x[74]+9*x[76]+5*x[78]+5*x[80]+x[83]+x[84]+3*x[87]+x[90])*q^18 + (x[21]+x[24]+9*x[29]+3*x[40]+3*x[41]+4*x[43]+5*x[46]+6*x[47]+3*x[50]+17*x[51]+9*x[54]+22*x[55]+13*x[58]+13*x[61]+3*x[65]+8*x[68]+12*x[69]+5*x[72]+19*x[75]+8*x[79]+4*x[85]+x[86]+3*x[88]+3*x[91])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+4*x[30]+4*x[31]+4*x[32]+x[38]+x[42]+x[44]+7*x[45]+4*x[48]+2*x[49]+13*x[52]+13*x[53]+14*x[56]+7*x[57]+14*x[59]+14*x[60]+2*x[63]+3*x[64]+2*x[66]+8*x[67]+3*x[70]+12*x[71]+12*x[73]+8*x[74]+13*x[76]+x[77]+7*x[78]+10*x[80]+x[81]+x[82]+x[83]+3*x[84]+6*x[87]+x[89]+5*x[90])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+3*x[46]+4*x[47]+x[50]+10*x[51]+6*x[54]+16*x[55]+11*x[58]+14*x[61]+2*x[65]+5*x[68]+10*x[69]+6*x[72]+21*x[75]+13*x[79]+6*x[85]+3*x[86]+7*x[88]+5*x[91]+2*x[92])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+4*x[48]+x[49]+6*x[52]+7*x[53]+10*x[56]+5*x[57]+11*x[59]+11*x[60]+x[63]+x[64]+6*x[67]+3*x[70]+8*x[71]+9*x[73]+7*x[74]+14*x[76]+x[77]+7*x[78]+13*x[80]+2*x[81]+2*x[82]+x[83]+4*x[84]+8*x[87]+2*x[89]+9*x[90]+x[93]+x[96])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+9*x[55]+7*x[58]+11*x[61]+x[65]+3*x[68]+6*x[69]+6*x[72]+16*x[75]+13*x[79]+6*x[85]+2*x[86]+7*x[88]+8*x[91]+4*x[92]+3*x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+7*x[59]+7*x[60]+x[64]+2*x[67]+2*x[70]+6*x[71]+6*x[73]+4*x[74]+9*x[76]+x[77]+6*x[78]+11*x[80]+3*x[81]+3*x[82]+x[83]+3*x[84]+7*x[87]+2*x[89]+10*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+9*x[75]+11*x[79]+4*x[85]+2*x[86]+7*x[88]+7*x[91]+5*x[92]+4*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+8*x[80]+3*x[81]+3*x[82]+2*x[84]+5*x[87]+2*x[89]+8*x[90]+2*x[93]+2*x[94]+2*x[96]+3*x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+5*x[91]+5*x[92]+5*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+3*x[96]+3*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+2*x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #5 : [2, 2, 2, 2, 2, 2, 2, 2, 0] dim = 56 A(O) = 1 , |A(O)_0| = 1 g_s = 28*V[2]+36*V[0] Z_G(x)_0 = Sp8 # Green Polys by orbit reps #5.1 : x[5] : [2, 2, 2, 2, 2, 2, 2, 2, 0],[] : [[1, 1, 1, 1], [1, 1, 1, 1], 2] Qxi[D8,5,1] = (x[5])*q^28 + (x[15])*q^27 + (x[16]+x[19]+x[25])*q^26 + (x[15]+x[18]+x[21]+x[24]+x[29]+x[40])*q^25 + (x[10]+x[16]+x[19]+x[20]+x[22]+2*x[25]+x[26]+x[27]+x[28]+x[30]+x[31]+x[38]+x[45]+x[52])*q^24 + (x[15]+x[18]+2*x[21]+2*x[24]+3*x[29]+2*x[40]+x[41]+x[43]+x[46]+2*x[51]+x[54]+x[55])*q^23 + (x[16]+2*x[19]+x[22]+3*x[25]+2*x[26]+x[27]+2*x[28]+3*x[30]+x[31]+x[32]+x[35]+x[38]+x[39]+3*x[45]+x[48]+x[49]+3*x[52]+2*x[53]+2*x[56]+x[59]+x[67])*q^22 + (x[15]+x[18]+2*x[21]+2*x[24]+6*x[29]+3*x[40]+2*x[41]+2*x[43]+2*x[46]+x[47]+x[50]+5*x[51]+2*x[54]+4*x[55]+x[58]+x[61]+x[68]+x[69]+x[75])*q^21 + (x[19]+x[20]+2*x[22]+3*x[25]+3*x[26]+2*x[27]+2*x[28]+4*x[30]+3*x[31]+2*x[32]+x[35]+2*x[38]+x[39]+x[42]+5*x[45]+x[48]+x[49]+6*x[52]+5*x[53]+4*x[56]+x[57]+3*x[59]+2*x[60]+x[64]+2*x[67]+2*x[71]+x[73]+x[74]+x[76]+x[78])*q^20 + (x[18]+2*x[21]+2*x[24]+7*x[29]+3*x[40]+2*x[41]+3*x[43]+3*x[46]+2*x[47]+x[50]+8*x[51]+4*x[54]+8*x[55]+3*x[58]+3*x[61]+x[65]+2*x[68]+3*x[69]+x[72]+4*x[75]+x[79])*q^19 + (x[19]+x[22]+2*x[25]+2*x[26]+x[27]+3*x[28]+5*x[30]+2*x[31]+2*x[32]+x[35]+x[38]+x[39]+x[44]+6*x[45]+3*x[48]+2*x[49]+8*x[52]+7*x[53]+8*x[56]+2*x[57]+5*x[59]+4*x[60]+x[63]+x[64]+4*x[67]+x[70]+3*x[71]+3*x[73]+2*x[74]+4*x[76]+2*x[78]+2*x[80]+x[87])*q^18 + (x[21]+x[24]+6*x[29]+2*x[40]+2*x[41]+3*x[43]+3*x[46]+3*x[47]+x[50]+9*x[51]+5*x[54]+11*x[55]+5*x[58]+6*x[61]+x[65]+3*x[68]+5*x[69]+2*x[72]+8*x[75]+3*x[79]+x[85]+x[88]+x[91])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+3*x[30]+3*x[31]+3*x[32]+x[38]+x[42]+x[44]+5*x[45]+2*x[48]+x[49]+8*x[52]+8*x[53]+8*x[56]+4*x[57]+7*x[59]+7*x[60]+x[63]+2*x[64]+x[66]+4*x[67]+x[70]+6*x[71]+5*x[73]+3*x[74]+6*x[76]+x[77]+4*x[78]+4*x[80]+x[81]+x[84]+2*x[87]+2*x[90])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+2*x[46]+3*x[47]+x[50]+7*x[51]+4*x[54]+11*x[55]+6*x[58]+8*x[61]+x[65]+3*x[68]+6*x[69]+3*x[72]+11*x[75]+6*x[79]+2*x[85]+x[86]+3*x[88]+2*x[91]+x[92])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+3*x[48]+x[49]+5*x[52]+6*x[53]+8*x[56]+3*x[57]+7*x[59]+7*x[60]+x[63]+x[64]+4*x[67]+2*x[70]+5*x[71]+5*x[73]+4*x[74]+9*x[76]+4*x[78]+7*x[80]+x[81]+x[82]+2*x[84]+4*x[87]+x[89]+4*x[90])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+8*x[55]+5*x[58]+8*x[61]+x[65]+2*x[68]+5*x[69]+4*x[72]+11*x[75]+8*x[79]+3*x[85]+x[86]+4*x[88]+4*x[91]+2*x[92]+x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+6*x[59]+6*x[60]+x[64]+2*x[67]+2*x[70]+5*x[71]+5*x[73]+3*x[74]+7*x[76]+x[77]+5*x[78]+7*x[80]+2*x[81]+2*x[82]+x[83]+2*x[84]+4*x[87]+x[89]+6*x[90]+x[94]+x[96]+x[97])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+8*x[75]+8*x[79]+3*x[85]+x[86]+5*x[88]+5*x[91]+3*x[92]+2*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+7*x[80]+2*x[81]+2*x[82]+2*x[84]+4*x[87]+2*x[89]+6*x[90]+x[93]+x[94]+x[96]+2*x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+4*x[91]+4*x[92]+3*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #5.1 : c = () |O_x_c^F| = q^12*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,5,1] = (x[5])*q^28 + (x[15])*q^27 + (x[16]+x[19]+x[25])*q^26 + (x[15]+x[18]+x[21]+x[24]+x[29]+x[40])*q^25 + (x[10]+x[16]+x[19]+x[20]+x[22]+2*x[25]+x[26]+x[27]+x[28]+x[30]+x[31]+x[38]+x[45]+x[52])*q^24 + (x[15]+x[18]+2*x[21]+2*x[24]+3*x[29]+2*x[40]+x[41]+x[43]+x[46]+2*x[51]+x[54]+x[55])*q^23 + (x[16]+2*x[19]+x[22]+3*x[25]+2*x[26]+x[27]+2*x[28]+3*x[30]+x[31]+x[32]+x[35]+x[38]+x[39]+3*x[45]+x[48]+x[49]+3*x[52]+2*x[53]+2*x[56]+x[59]+x[67])*q^22 + (x[15]+x[18]+2*x[21]+2*x[24]+6*x[29]+3*x[40]+2*x[41]+2*x[43]+2*x[46]+x[47]+x[50]+5*x[51]+2*x[54]+4*x[55]+x[58]+x[61]+x[68]+x[69]+x[75])*q^21 + (x[19]+x[20]+2*x[22]+3*x[25]+3*x[26]+2*x[27]+2*x[28]+4*x[30]+3*x[31]+2*x[32]+x[35]+2*x[38]+x[39]+x[42]+5*x[45]+x[48]+x[49]+6*x[52]+5*x[53]+4*x[56]+x[57]+3*x[59]+2*x[60]+x[64]+2*x[67]+2*x[71]+x[73]+x[74]+x[76]+x[78])*q^20 + (x[18]+2*x[21]+2*x[24]+7*x[29]+3*x[40]+2*x[41]+3*x[43]+3*x[46]+2*x[47]+x[50]+8*x[51]+4*x[54]+8*x[55]+3*x[58]+3*x[61]+x[65]+2*x[68]+3*x[69]+x[72]+4*x[75]+x[79])*q^19 + (x[19]+x[22]+2*x[25]+2*x[26]+x[27]+3*x[28]+5*x[30]+2*x[31]+2*x[32]+x[35]+x[38]+x[39]+x[44]+6*x[45]+3*x[48]+2*x[49]+8*x[52]+7*x[53]+8*x[56]+2*x[57]+5*x[59]+4*x[60]+x[63]+x[64]+4*x[67]+x[70]+3*x[71]+3*x[73]+2*x[74]+4*x[76]+2*x[78]+2*x[80]+x[87])*q^18 + (x[21]+x[24]+6*x[29]+2*x[40]+2*x[41]+3*x[43]+3*x[46]+3*x[47]+x[50]+9*x[51]+5*x[54]+11*x[55]+5*x[58]+6*x[61]+x[65]+3*x[68]+5*x[69]+2*x[72]+8*x[75]+3*x[79]+x[85]+x[88]+x[91])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+3*x[30]+3*x[31]+3*x[32]+x[38]+x[42]+x[44]+5*x[45]+2*x[48]+x[49]+8*x[52]+8*x[53]+8*x[56]+4*x[57]+7*x[59]+7*x[60]+x[63]+2*x[64]+x[66]+4*x[67]+x[70]+6*x[71]+5*x[73]+3*x[74]+6*x[76]+x[77]+4*x[78]+4*x[80]+x[81]+x[84]+2*x[87]+2*x[90])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+2*x[46]+3*x[47]+x[50]+7*x[51]+4*x[54]+11*x[55]+6*x[58]+8*x[61]+x[65]+3*x[68]+6*x[69]+3*x[72]+11*x[75]+6*x[79]+2*x[85]+x[86]+3*x[88]+2*x[91]+x[92])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+3*x[48]+x[49]+5*x[52]+6*x[53]+8*x[56]+3*x[57]+7*x[59]+7*x[60]+x[63]+x[64]+4*x[67]+2*x[70]+5*x[71]+5*x[73]+4*x[74]+9*x[76]+4*x[78]+7*x[80]+x[81]+x[82]+2*x[84]+4*x[87]+x[89]+4*x[90])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+8*x[55]+5*x[58]+8*x[61]+x[65]+2*x[68]+5*x[69]+4*x[72]+11*x[75]+8*x[79]+3*x[85]+x[86]+4*x[88]+4*x[91]+2*x[92]+x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+6*x[59]+6*x[60]+x[64]+2*x[67]+2*x[70]+5*x[71]+5*x[73]+3*x[74]+7*x[76]+x[77]+5*x[78]+7*x[80]+2*x[81]+2*x[82]+x[83]+2*x[84]+4*x[87]+x[89]+6*x[90]+x[94]+x[96]+x[97])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+8*x[75]+8*x[79]+3*x[85]+x[86]+5*x[88]+5*x[91]+3*x[92]+2*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+7*x[80]+2*x[81]+2*x[82]+2*x[84]+4*x[87]+2*x[89]+6*x[90]+x[93]+x[94]+x[96]+2*x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+4*x[91]+4*x[92]+3*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #6 : [2, 2, 2, 2, 2, 2, 2, 2] dim = 56 A(O) = 1 , |A(O)_0| = 1 g_s = 28*V[2]+36*V[0] Z_G(x)_0 = Sp8 # Green Polys by orbit reps #6.1 : x[6] : [2, 2, 2, 2, 2, 2, 2, 2],[] : [[1, 1, 1, 1], [1, 1, 1, 1], 1] Qxi[D8,6,1] = (x[6])*q^28 + (x[15])*q^27 + (x[16]+x[19]+x[26])*q^26 + (x[15]+x[18]+x[21]+x[24]+x[29]+x[40])*q^25 + (x[10]+x[16]+x[19]+x[20]+x[22]+x[25]+2*x[26]+x[27]+x[28]+x[30]+x[32]+x[38]+x[45]+x[52])*q^24 + (x[15]+x[18]+2*x[21]+2*x[24]+3*x[29]+2*x[40]+x[41]+x[43]+x[46]+2*x[51]+x[54]+x[55])*q^23 + (x[16]+2*x[19]+x[22]+2*x[25]+3*x[26]+x[27]+2*x[28]+3*x[30]+x[31]+x[32]+x[35]+x[38]+x[39]+3*x[45]+x[48]+x[49]+3*x[52]+2*x[53]+2*x[56]+x[60]+x[67])*q^22 + (x[15]+x[18]+2*x[21]+2*x[24]+6*x[29]+3*x[40]+2*x[41]+2*x[43]+2*x[46]+x[47]+x[50]+5*x[51]+2*x[54]+4*x[55]+x[58]+x[61]+x[68]+x[69]+x[75])*q^21 + (x[19]+x[20]+2*x[22]+3*x[25]+3*x[26]+2*x[27]+2*x[28]+4*x[30]+2*x[31]+3*x[32]+x[35]+2*x[38]+x[39]+x[42]+5*x[45]+x[48]+x[49]+6*x[52]+5*x[53]+4*x[56]+x[57]+2*x[59]+3*x[60]+x[64]+2*x[67]+2*x[71]+x[73]+x[74]+x[76]+x[78])*q^20 + (x[18]+2*x[21]+2*x[24]+7*x[29]+3*x[40]+2*x[41]+3*x[43]+3*x[46]+2*x[47]+x[50]+8*x[51]+4*x[54]+8*x[55]+3*x[58]+3*x[61]+x[65]+2*x[68]+3*x[69]+x[72]+4*x[75]+x[79])*q^19 + (x[19]+x[22]+2*x[25]+2*x[26]+x[27]+3*x[28]+5*x[30]+2*x[31]+2*x[32]+x[35]+x[38]+x[39]+x[44]+6*x[45]+3*x[48]+2*x[49]+8*x[52]+7*x[53]+8*x[56]+2*x[57]+4*x[59]+5*x[60]+x[63]+x[64]+4*x[67]+x[70]+3*x[71]+3*x[73]+2*x[74]+4*x[76]+2*x[78]+2*x[80]+x[87])*q^18 + (x[21]+x[24]+6*x[29]+2*x[40]+2*x[41]+3*x[43]+3*x[46]+3*x[47]+x[50]+9*x[51]+5*x[54]+11*x[55]+5*x[58]+6*x[61]+x[65]+3*x[68]+5*x[69]+2*x[72]+8*x[75]+3*x[79]+x[85]+x[88]+x[91])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+3*x[30]+3*x[31]+3*x[32]+x[38]+x[42]+x[44]+5*x[45]+2*x[48]+x[49]+8*x[52]+8*x[53]+8*x[56]+4*x[57]+7*x[59]+7*x[60]+x[63]+2*x[64]+x[66]+4*x[67]+x[70]+6*x[71]+5*x[73]+3*x[74]+6*x[76]+x[77]+4*x[78]+4*x[80]+x[82]+x[84]+2*x[87]+2*x[90])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+2*x[46]+3*x[47]+x[50]+7*x[51]+4*x[54]+11*x[55]+6*x[58]+8*x[61]+x[65]+3*x[68]+6*x[69]+3*x[72]+11*x[75]+6*x[79]+2*x[85]+x[86]+3*x[88]+2*x[91]+x[92])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+3*x[48]+x[49]+5*x[52]+6*x[53]+8*x[56]+3*x[57]+7*x[59]+7*x[60]+x[63]+x[64]+4*x[67]+2*x[70]+5*x[71]+5*x[73]+4*x[74]+9*x[76]+4*x[78]+7*x[80]+x[81]+x[82]+2*x[84]+4*x[87]+x[89]+4*x[90])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+8*x[55]+5*x[58]+8*x[61]+x[65]+2*x[68]+5*x[69]+4*x[72]+11*x[75]+8*x[79]+3*x[85]+x[86]+4*x[88]+4*x[91]+2*x[92]+x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+6*x[59]+6*x[60]+x[64]+2*x[67]+2*x[70]+5*x[71]+5*x[73]+3*x[74]+7*x[76]+x[77]+5*x[78]+7*x[80]+2*x[81]+2*x[82]+x[83]+2*x[84]+4*x[87]+x[89]+6*x[90]+x[94]+x[96]+x[97])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+8*x[75]+8*x[79]+3*x[85]+x[86]+5*x[88]+5*x[91]+3*x[92]+2*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+7*x[80]+2*x[81]+2*x[82]+2*x[84]+4*x[87]+2*x[89]+6*x[90]+x[93]+x[94]+x[96]+2*x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+4*x[91]+4*x[92]+3*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #6.1 : c = () |O_x_c^F| = q^12*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,6,1] = (x[6])*q^28 + (x[15])*q^27 + (x[16]+x[19]+x[26])*q^26 + (x[15]+x[18]+x[21]+x[24]+x[29]+x[40])*q^25 + (x[10]+x[16]+x[19]+x[20]+x[22]+x[25]+2*x[26]+x[27]+x[28]+x[30]+x[32]+x[38]+x[45]+x[52])*q^24 + (x[15]+x[18]+2*x[21]+2*x[24]+3*x[29]+2*x[40]+x[41]+x[43]+x[46]+2*x[51]+x[54]+x[55])*q^23 + (x[16]+2*x[19]+x[22]+2*x[25]+3*x[26]+x[27]+2*x[28]+3*x[30]+x[31]+x[32]+x[35]+x[38]+x[39]+3*x[45]+x[48]+x[49]+3*x[52]+2*x[53]+2*x[56]+x[60]+x[67])*q^22 + (x[15]+x[18]+2*x[21]+2*x[24]+6*x[29]+3*x[40]+2*x[41]+2*x[43]+2*x[46]+x[47]+x[50]+5*x[51]+2*x[54]+4*x[55]+x[58]+x[61]+x[68]+x[69]+x[75])*q^21 + (x[19]+x[20]+2*x[22]+3*x[25]+3*x[26]+2*x[27]+2*x[28]+4*x[30]+2*x[31]+3*x[32]+x[35]+2*x[38]+x[39]+x[42]+5*x[45]+x[48]+x[49]+6*x[52]+5*x[53]+4*x[56]+x[57]+2*x[59]+3*x[60]+x[64]+2*x[67]+2*x[71]+x[73]+x[74]+x[76]+x[78])*q^20 + (x[18]+2*x[21]+2*x[24]+7*x[29]+3*x[40]+2*x[41]+3*x[43]+3*x[46]+2*x[47]+x[50]+8*x[51]+4*x[54]+8*x[55]+3*x[58]+3*x[61]+x[65]+2*x[68]+3*x[69]+x[72]+4*x[75]+x[79])*q^19 + (x[19]+x[22]+2*x[25]+2*x[26]+x[27]+3*x[28]+5*x[30]+2*x[31]+2*x[32]+x[35]+x[38]+x[39]+x[44]+6*x[45]+3*x[48]+2*x[49]+8*x[52]+7*x[53]+8*x[56]+2*x[57]+4*x[59]+5*x[60]+x[63]+x[64]+4*x[67]+x[70]+3*x[71]+3*x[73]+2*x[74]+4*x[76]+2*x[78]+2*x[80]+x[87])*q^18 + (x[21]+x[24]+6*x[29]+2*x[40]+2*x[41]+3*x[43]+3*x[46]+3*x[47]+x[50]+9*x[51]+5*x[54]+11*x[55]+5*x[58]+6*x[61]+x[65]+3*x[68]+5*x[69]+2*x[72]+8*x[75]+3*x[79]+x[85]+x[88]+x[91])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+3*x[30]+3*x[31]+3*x[32]+x[38]+x[42]+x[44]+5*x[45]+2*x[48]+x[49]+8*x[52]+8*x[53]+8*x[56]+4*x[57]+7*x[59]+7*x[60]+x[63]+2*x[64]+x[66]+4*x[67]+x[70]+6*x[71]+5*x[73]+3*x[74]+6*x[76]+x[77]+4*x[78]+4*x[80]+x[82]+x[84]+2*x[87]+2*x[90])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+2*x[46]+3*x[47]+x[50]+7*x[51]+4*x[54]+11*x[55]+6*x[58]+8*x[61]+x[65]+3*x[68]+6*x[69]+3*x[72]+11*x[75]+6*x[79]+2*x[85]+x[86]+3*x[88]+2*x[91]+x[92])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+3*x[48]+x[49]+5*x[52]+6*x[53]+8*x[56]+3*x[57]+7*x[59]+7*x[60]+x[63]+x[64]+4*x[67]+2*x[70]+5*x[71]+5*x[73]+4*x[74]+9*x[76]+4*x[78]+7*x[80]+x[81]+x[82]+2*x[84]+4*x[87]+x[89]+4*x[90])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+8*x[55]+5*x[58]+8*x[61]+x[65]+2*x[68]+5*x[69]+4*x[72]+11*x[75]+8*x[79]+3*x[85]+x[86]+4*x[88]+4*x[91]+2*x[92]+x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+6*x[59]+6*x[60]+x[64]+2*x[67]+2*x[70]+5*x[71]+5*x[73]+3*x[74]+7*x[76]+x[77]+5*x[78]+7*x[80]+2*x[81]+2*x[82]+x[83]+2*x[84]+4*x[87]+x[89]+6*x[90]+x[94]+x[96]+x[97])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+8*x[75]+8*x[79]+3*x[85]+x[86]+5*x[88]+5*x[91]+3*x[92]+2*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+7*x[80]+2*x[81]+2*x[82]+2*x[84]+4*x[87]+2*x[89]+6*x[90]+x[93]+x[94]+x[96]+2*x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+4*x[91]+4*x[92]+3*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #7 : [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] dim = 28 A(O) = 1 , |A(O)_0| = 1 g_s = 14*V[2]+78*V[0] Z_G(x)_0 = O13+O1 # Green Polys by orbit reps #7.1 : x[7] : [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[], [2, 1, 1, 1, 1, 1, 1]] Qxi[D8,7,1] = (x[7])*q^42 + (x[11])*q^41 + (x[8]+x[13]+x[33])*q^40 + (x[11]+x[15]+x[17]+x[36])*q^39 + (x[8]+x[9]+x[13]+x[16]+x[19]+x[23]+x[33]+x[34]+x[38])*q^38 + (x[11]+x[14]+x[15]+2*x[17]+x[18]+x[21]+x[24]+2*x[36]+x[40]+x[41])*q^37 + (x[8]+x[9]+x[10]+x[12]+2*x[13]+x[16]+2*x[19]+x[20]+x[22]+x[23]+x[25]+x[26]+x[27]+x[33]+2*x[34]+x[35]+2*x[38]+x[39]+x[45]+x[49]+x[62])*q^36 + (x[11]+x[14]+2*x[15]+3*x[17]+2*x[18]+2*x[21]+3*x[24]+x[29]+3*x[36]+x[37]+2*x[40]+3*x[41]+x[43]+x[46]+x[51]+x[65])*q^35 + (x[8]+2*x[9]+2*x[13]+2*x[16]+4*x[19]+x[20]+x[22]+3*x[23]+2*x[25]+2*x[26]+2*x[27]+x[28]+2*x[30]+x[33]+3*x[34]+2*x[35]+4*x[38]+2*x[39]+x[42]+3*x[45]+2*x[49]+x[52]+x[53]+x[62]+x[63]+x[67])*q^34 + (x[11]+x[14]+3*x[15]+4*x[17]+3*x[18]+3*x[21]+5*x[24]+4*x[29]+4*x[36]+x[37]+4*x[40]+6*x[41]+2*x[43]+2*x[46]+x[47]+2*x[50]+3*x[51]+x[55]+2*x[65]+x[68]+x[69])*q^33 + (x[8]+x[9]+x[10]+3*x[13]+2*x[16]+5*x[19]+2*x[20]+3*x[22]+3*x[23]+4*x[25]+4*x[26]+5*x[27]+x[28]+3*x[30]+x[31]+x[32]+x[33]+4*x[34]+3*x[35]+6*x[38]+3*x[39]+2*x[42]+x[44]+6*x[45]+x[48]+4*x[49]+4*x[52]+3*x[53]+x[56]+2*x[62]+2*x[63]+x[64]+x[66]+2*x[67]+x[71]+x[73])*q^32 + (x[11]+x[14]+3*x[15]+4*x[17]+4*x[18]+5*x[21]+8*x[24]+7*x[29]+5*x[36]+x[37]+6*x[40]+9*x[41]+4*x[43]+4*x[46]+3*x[47]+3*x[50]+7*x[51]+2*x[54]+3*x[55]+x[58]+4*x[65]+2*x[68]+3*x[69]+x[75])*q^31 + (2*x[9]+x[10]+2*x[13]+3*x[16]+7*x[19]+2*x[20]+3*x[22]+4*x[23]+5*x[25]+5*x[26]+6*x[27]+4*x[28]+7*x[30]+x[31]+x[32]+x[33]+4*x[34]+4*x[35]+8*x[38]+4*x[39]+3*x[42]+2*x[44]+10*x[45]+2*x[48]+7*x[49]+8*x[52]+6*x[53]+3*x[56]+x[57]+x[59]+x[60]+2*x[62]+4*x[63]+x[64]+x[66]+5*x[67]+x[70]+2*x[71]+2*x[73]+x[74]+x[76]+x[83])*q^30 + (x[14]+3*x[15]+4*x[17]+5*x[18]+6*x[21]+10*x[24]+11*x[29]+5*x[36]+x[37]+8*x[40]+12*x[41]+6*x[43]+6*x[46]+5*x[47]+5*x[50]+12*x[51]+4*x[54]+7*x[55]+3*x[58]+x[61]+6*x[65]+4*x[68]+6*x[69]+x[72]+3*x[75]+x[85])*q^29 + (x[9]+x[10]+2*x[13]+2*x[16]+7*x[19]+3*x[20]+5*x[22]+3*x[23]+7*x[25]+7*x[26]+9*x[27]+3*x[28]+8*x[30]+3*x[31]+3*x[32]+4*x[34]+5*x[35]+9*x[38]+5*x[39]+4*x[42]+2*x[44]+14*x[45]+3*x[48]+9*x[49]+13*x[52]+11*x[53]+6*x[56]+2*x[57]+3*x[59]+3*x[60]+3*x[62]+5*x[63]+3*x[64]+2*x[66]+7*x[67]+2*x[70]+5*x[71]+5*x[73]+2*x[74]+2*x[76]+x[78]+x[83]+x[84]+x[87])*q^28 + 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(x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+8*x[75]+9*x[79]+4*x[85]+x[86]+6*x[88]+6*x[91]+4*x[92]+5*x[95]+x[99])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+7*x[80]+2*x[81]+2*x[82]+2*x[84]+4*x[87]+2*x[89]+7*x[90]+2*x[93]+2*x[94]+2*x[96]+3*x[97]+x[98])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+4*x[91]+4*x[92]+4*x[95]+x[99])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #7.1 : c = () |O_x_c^F| = q^6*(q^8-1)*(q^14-1) Qxc[D8,7,1] = (x[7])*q^42 + (x[11])*q^41 + (x[8]+x[13]+x[33])*q^40 + (x[11]+x[15]+x[17]+x[36])*q^39 + (x[8]+x[9]+x[13]+x[16]+x[19]+x[23]+x[33]+x[34]+x[38])*q^38 + (x[11]+x[14]+x[15]+2*x[17]+x[18]+x[21]+x[24]+2*x[36]+x[40]+x[41])*q^37 + (x[8]+x[9]+x[10]+x[12]+2*x[13]+x[16]+2*x[19]+x[20]+x[22]+x[23]+x[25]+x[26]+x[27]+x[33]+2*x[34]+x[35]+2*x[38]+x[39]+x[45]+x[49]+x[62])*q^36 + (x[11]+x[14]+2*x[15]+3*x[17]+2*x[18]+2*x[21]+3*x[24]+x[29]+3*x[36]+x[37]+2*x[40]+3*x[41]+x[43]+x[46]+x[51]+x[65])*q^35 + (x[8]+2*x[9]+2*x[13]+2*x[16]+4*x[19]+x[20]+x[22]+3*x[23]+2*x[25]+2*x[26]+2*x[27]+x[28]+2*x[30]+x[33]+3*x[34]+2*x[35]+4*x[38]+2*x[39]+x[42]+3*x[45]+2*x[49]+x[52]+x[53]+x[62]+x[63]+x[67])*q^34 + (x[11]+x[14]+3*x[15]+4*x[17]+3*x[18]+3*x[21]+5*x[24]+4*x[29]+4*x[36]+x[37]+4*x[40]+6*x[41]+2*x[43]+2*x[46]+x[47]+2*x[50]+3*x[51]+x[55]+2*x[65]+x[68]+x[69])*q^33 + 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(x[22]+x[25]+x[26]+x[27]+x[28]+3*x[30]+3*x[31]+3*x[32]+x[38]+x[42]+x[44]+6*x[45]+4*x[48]+2*x[49]+10*x[52]+12*x[53]+11*x[56]+7*x[57]+12*x[59]+12*x[60]+2*x[63]+3*x[64]+x[66]+7*x[67]+4*x[70]+11*x[71]+13*x[73]+7*x[74]+13*x[76]+2*x[77]+8*x[78]+12*x[80]+2*x[81]+2*x[82]+2*x[83]+6*x[84]+9*x[87]+3*x[89]+10*x[90]+2*x[93]+2*x[94]+2*x[96]+x[97])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+2*x[46]+4*x[47]+x[50]+8*x[51]+5*x[54]+13*x[55]+10*x[58]+12*x[61]+2*x[65]+4*x[68]+10*x[69]+7*x[72]+18*x[75]+13*x[79]+8*x[85]+3*x[86]+9*x[88]+7*x[91]+4*x[92]+4*x[95])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+3*x[48]+x[49]+5*x[52]+7*x[53]+8*x[56]+4*x[57]+9*x[59]+9*x[60]+x[63]+x[64]+5*x[67]+3*x[70]+7*x[71]+8*x[73]+6*x[74]+13*x[76]+x[77]+5*x[78]+12*x[80]+2*x[81]+2*x[82]+x[83]+5*x[84]+8*x[87]+3*x[89]+10*x[90]+3*x[93]+2*x[94]+2*x[96]+2*x[97])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+8*x[55]+6*x[58]+9*x[61]+x[65]+2*x[68]+6*x[69]+5*x[72]+13*x[75]+12*x[79]+6*x[85]+2*x[86]+8*x[88]+7*x[91]+4*x[92]+5*x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+6*x[59]+6*x[60]+x[64]+2*x[67]+2*x[70]+5*x[71]+6*x[73]+3*x[74]+8*x[76]+x[77]+5*x[78]+9*x[80]+3*x[81]+3*x[82]+x[83]+3*x[84]+6*x[87]+2*x[89]+9*x[90]+2*x[93]+3*x[94]+3*x[96]+2*x[97]+x[98])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+8*x[75]+9*x[79]+4*x[85]+x[86]+6*x[88]+6*x[91]+4*x[92]+5*x[95]+x[99])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+7*x[80]+2*x[81]+2*x[82]+2*x[84]+4*x[87]+2*x[89]+7*x[90]+2*x[93]+2*x[94]+2*x[96]+3*x[97]+x[98])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+4*x[91]+4*x[92]+4*x[95]+x[99])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #8 : [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1] dim = 48 A(O) = 1 , |A(O)_0| = 1 g_s = 2*V[3]+11*V[2]+20*V[1]+39*V[0] Z_G(x)_0 = O9+Sp2+O1 # Green Polys by orbit reps #8.1 : x[8] : [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[], [2, 2, 1, 1, 1, 1]] Qxi[D8,8,1] = (x[8])*q^32 + (x[11]+x[17])*q^31 + (x[9]+x[13]+x[19]+x[23]+x[33]+x[34])*q^30 + (x[15]+2*x[17]+x[18]+x[21]+x[24]+2*x[36]+x[41])*q^29 + (x[9]+x[10]+x[13]+x[16]+2*x[19]+x[20]+x[22]+x[23]+x[25]+x[26]+2*x[27]+2*x[34]+x[35]+2*x[38]+x[42]+x[45]+x[49]+x[62])*q^28 + (x[14]+x[15]+2*x[17]+3*x[18]+2*x[21]+3*x[24]+2*x[29]+2*x[36]+2*x[40]+4*x[41]+x[43]+x[46]+x[47]+x[50]+x[51]+x[65])*q^27 + (x[9]+x[13]+x[16]+4*x[19]+x[20]+2*x[22]+2*x[23]+2*x[25]+2*x[26]+3*x[27]+2*x[28]+3*x[30]+2*x[34]+3*x[35]+3*x[38]+2*x[39]+x[42]+x[44]+4*x[45]+x[48]+3*x[49]+2*x[52]+2*x[53]+x[62]+2*x[63]+x[67])*q^26 + (2*x[15]+2*x[17]+3*x[18]+3*x[21]+5*x[24]+6*x[29]+2*x[36]+x[37]+3*x[40]+7*x[41]+4*x[43]+3*x[46]+2*x[47]+2*x[50]+5*x[51]+x[54]+2*x[55]+x[58]+3*x[65]+x[68]+2*x[69])*q^25 + (x[10]+x[13]+x[16]+4*x[19]+x[20]+3*x[22]+x[23]+4*x[25]+4*x[26]+6*x[27]+2*x[28]+5*x[30]+2*x[31]+2*x[32]+2*x[34]+3*x[35]+5*x[38]+2*x[39]+3*x[42]+x[44]+8*x[45]+x[48]+5*x[49]+6*x[52]+6*x[53]+2*x[56]+x[57]+x[59]+x[60]+x[62]+3*x[63]+2*x[64]+x[66]+3*x[67]+x[70]+2*x[71]+2*x[73]+x[83])*q^24 + (x[15]+x[17]+3*x[18]+4*x[21]+6*x[24]+10*x[29]+2*x[36]+5*x[40]+9*x[41]+5*x[43]+4*x[46]+5*x[47]+4*x[50]+10*x[51]+4*x[54]+7*x[55]+3*x[58]+x[61]+4*x[65]+3*x[68]+6*x[69]+x[72]+2*x[75]+x[85])*q^23 + (x[16]+4*x[19]+x[20]+3*x[22]+x[23]+4*x[25]+4*x[26]+5*x[27]+5*x[28]+8*x[30]+2*x[31]+2*x[32]+x[34]+3*x[35]+5*x[38]+2*x[39]+2*x[42]+3*x[44]+11*x[45]+4*x[48]+7*x[49]+11*x[52]+11*x[53]+7*x[56]+2*x[57]+3*x[59]+3*x[60]+x[62]+5*x[63]+2*x[64]+x[66]+6*x[67]+3*x[70]+4*x[71]+4*x[73]+3*x[74]+3*x[76]+x[83]+x[84]+x[87])*q^22 + (x[15]+2*x[18]+3*x[21]+5*x[24]+12*x[29]+x[36]+5*x[40]+8*x[41]+7*x[43]+6*x[46]+7*x[47]+4*x[50]+15*x[51]+7*x[54]+12*x[55]+7*x[58]+4*x[61]+6*x[65]+4*x[68]+10*x[69]+3*x[72]+7*x[75]+x[79]+2*x[85]+x[86]+x[88])*q^21 + (2*x[19]+x[20]+3*x[22]+4*x[25]+4*x[26]+5*x[27]+3*x[28]+7*x[30]+4*x[31]+4*x[32]+2*x[35]+4*x[38]+2*x[39]+3*x[42]+2*x[44]+12*x[45]+4*x[48]+6*x[49]+14*x[52]+15*x[53]+10*x[56]+5*x[57]+7*x[59]+7*x[60]+x[62]+4*x[63]+4*x[64]+x[66]+8*x[67]+4*x[70]+8*x[71]+9*x[73]+4*x[74]+5*x[76]+x[77]+3*x[78]+2*x[80]+2*x[83]+3*x[84]+2*x[87]+x[90])*q^20 + (x[18]+2*x[21]+3*x[24]+11*x[29]+4*x[40]+6*x[41]+6*x[43]+5*x[46]+7*x[47]+4*x[50]+16*x[51]+8*x[54]+17*x[55]+10*x[58]+8*x[61]+5*x[65]+6*x[68]+13*x[69]+5*x[72]+12*x[75]+4*x[79]+5*x[85]+x[86]+3*x[88]+x[91])*q^19 + (x[19]+x[22]+2*x[25]+2*x[26]+2*x[27]+4*x[28]+7*x[30]+3*x[31]+3*x[32]+x[35]+2*x[38]+x[39]+x[42]+2*x[44]+10*x[45]+5*x[48]+5*x[49]+13*x[52]+15*x[53]+13*x[56]+5*x[57]+10*x[59]+10*x[60]+4*x[63]+3*x[64]+x[66]+9*x[67]+5*x[70]+9*x[71]+10*x[73]+7*x[74]+11*x[76]+3*x[78]+5*x[80]+2*x[83]+4*x[84]+5*x[87]+2*x[89]+3*x[90]+x[93])*q^18 + (x[21]+x[24]+7*x[29]+2*x[40]+3*x[41]+4*x[43]+4*x[46]+6*x[47]+2*x[50]+14*x[51]+8*x[54]+17*x[55]+11*x[58]+11*x[61]+4*x[65]+5*x[68]+13*x[69]+6*x[72]+16*x[75]+8*x[79]+6*x[85]+2*x[86]+6*x[88]+3*x[91]+x[95])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+3*x[30]+3*x[31]+3*x[32]+x[38]+x[42]+x[44]+6*x[45]+4*x[48]+2*x[49]+10*x[52]+12*x[53]+11*x[56]+7*x[57]+11*x[59]+11*x[60]+2*x[63]+3*x[64]+x[66]+7*x[67]+4*x[70]+10*x[71]+12*x[73]+6*x[74]+11*x[76]+2*x[77]+7*x[78]+8*x[80]+x[81]+x[82]+2*x[83]+5*x[84]+6*x[87]+2*x[89]+6*x[90]+x[93]+x[94]+x[96])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+2*x[46]+4*x[47]+x[50]+8*x[51]+5*x[54]+13*x[55]+10*x[58]+12*x[61]+2*x[65]+4*x[68]+10*x[69]+7*x[72]+17*x[75]+10*x[79]+7*x[85]+2*x[86]+7*x[88]+5*x[91]+2*x[92]+2*x[95])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+3*x[48]+x[49]+5*x[52]+7*x[53]+8*x[56]+4*x[57]+9*x[59]+9*x[60]+x[63]+x[64]+5*x[67]+3*x[70]+7*x[71]+8*x[73]+6*x[74]+13*x[76]+x[77]+5*x[78]+11*x[80]+x[81]+x[82]+x[83]+5*x[84]+7*x[87]+3*x[89]+8*x[90]+2*x[93]+x[94]+x[96]+x[97])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+8*x[55]+6*x[58]+9*x[61]+x[65]+2*x[68]+6*x[69]+5*x[72]+13*x[75]+12*x[79]+6*x[85]+2*x[86]+8*x[88]+6*x[91]+3*x[92]+3*x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+6*x[59]+6*x[60]+x[64]+2*x[67]+2*x[70]+5*x[71]+6*x[73]+3*x[74]+8*x[76]+x[77]+5*x[78]+9*x[80]+3*x[81]+3*x[82]+x[83]+3*x[84]+6*x[87]+2*x[89]+9*x[90]+2*x[93]+3*x[94]+2*x[96]+x[97])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+8*x[75]+9*x[79]+4*x[85]+x[86]+6*x[88]+6*x[91]+4*x[92]+5*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+7*x[80]+2*x[81]+2*x[82]+2*x[84]+4*x[87]+2*x[89]+7*x[90]+2*x[93]+2*x[94]+2*x[96]+3*x[97]+x[98])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+4*x[91]+4*x[92]+4*x[95]+x[99])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #8.1 : c = () |O_x_c^F| = q^6*(q^2+1)*(q^4+1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,8,1] = (x[8])*q^32 + (x[11]+x[17])*q^31 + (x[9]+x[13]+x[19]+x[23]+x[33]+x[34])*q^30 + (x[15]+2*x[17]+x[18]+x[21]+x[24]+2*x[36]+x[41])*q^29 + (x[9]+x[10]+x[13]+x[16]+2*x[19]+x[20]+x[22]+x[23]+x[25]+x[26]+2*x[27]+2*x[34]+x[35]+2*x[38]+x[42]+x[45]+x[49]+x[62])*q^28 + (x[14]+x[15]+2*x[17]+3*x[18]+2*x[21]+3*x[24]+2*x[29]+2*x[36]+2*x[40]+4*x[41]+x[43]+x[46]+x[47]+x[50]+x[51]+x[65])*q^27 + (x[9]+x[13]+x[16]+4*x[19]+x[20]+2*x[22]+2*x[23]+2*x[25]+2*x[26]+3*x[27]+2*x[28]+3*x[30]+2*x[34]+3*x[35]+3*x[38]+2*x[39]+x[42]+x[44]+4*x[45]+x[48]+3*x[49]+2*x[52]+2*x[53]+x[62]+2*x[63]+x[67])*q^26 + (2*x[15]+2*x[17]+3*x[18]+3*x[21]+5*x[24]+6*x[29]+2*x[36]+x[37]+3*x[40]+7*x[41]+4*x[43]+3*x[46]+2*x[47]+2*x[50]+5*x[51]+x[54]+2*x[55]+x[58]+3*x[65]+x[68]+2*x[69])*q^25 + (x[10]+x[13]+x[16]+4*x[19]+x[20]+3*x[22]+x[23]+4*x[25]+4*x[26]+6*x[27]+2*x[28]+5*x[30]+2*x[31]+2*x[32]+2*x[34]+3*x[35]+5*x[38]+2*x[39]+3*x[42]+x[44]+8*x[45]+x[48]+5*x[49]+6*x[52]+6*x[53]+2*x[56]+x[57]+x[59]+x[60]+x[62]+3*x[63]+2*x[64]+x[66]+3*x[67]+x[70]+2*x[71]+2*x[73]+x[83])*q^24 + (x[15]+x[17]+3*x[18]+4*x[21]+6*x[24]+10*x[29]+2*x[36]+5*x[40]+9*x[41]+5*x[43]+4*x[46]+5*x[47]+4*x[50]+10*x[51]+4*x[54]+7*x[55]+3*x[58]+x[61]+4*x[65]+3*x[68]+6*x[69]+x[72]+2*x[75]+x[85])*q^23 + (x[16]+4*x[19]+x[20]+3*x[22]+x[23]+4*x[25]+4*x[26]+5*x[27]+5*x[28]+8*x[30]+2*x[31]+2*x[32]+x[34]+3*x[35]+5*x[38]+2*x[39]+2*x[42]+3*x[44]+11*x[45]+4*x[48]+7*x[49]+11*x[52]+11*x[53]+7*x[56]+2*x[57]+3*x[59]+3*x[60]+x[62]+5*x[63]+2*x[64]+x[66]+6*x[67]+3*x[70]+4*x[71]+4*x[73]+3*x[74]+3*x[76]+x[83]+x[84]+x[87])*q^22 + (x[15]+2*x[18]+3*x[21]+5*x[24]+12*x[29]+x[36]+5*x[40]+8*x[41]+7*x[43]+6*x[46]+7*x[47]+4*x[50]+15*x[51]+7*x[54]+12*x[55]+7*x[58]+4*x[61]+6*x[65]+4*x[68]+10*x[69]+3*x[72]+7*x[75]+x[79]+2*x[85]+x[86]+x[88])*q^21 + (2*x[19]+x[20]+3*x[22]+4*x[25]+4*x[26]+5*x[27]+3*x[28]+7*x[30]+4*x[31]+4*x[32]+2*x[35]+4*x[38]+2*x[39]+3*x[42]+2*x[44]+12*x[45]+4*x[48]+6*x[49]+14*x[52]+15*x[53]+10*x[56]+5*x[57]+7*x[59]+7*x[60]+x[62]+4*x[63]+4*x[64]+x[66]+8*x[67]+4*x[70]+8*x[71]+9*x[73]+4*x[74]+5*x[76]+x[77]+3*x[78]+2*x[80]+2*x[83]+3*x[84]+2*x[87]+x[90])*q^20 + (x[18]+2*x[21]+3*x[24]+11*x[29]+4*x[40]+6*x[41]+6*x[43]+5*x[46]+7*x[47]+4*x[50]+16*x[51]+8*x[54]+17*x[55]+10*x[58]+8*x[61]+5*x[65]+6*x[68]+13*x[69]+5*x[72]+12*x[75]+4*x[79]+5*x[85]+x[86]+3*x[88]+x[91])*q^19 + (x[19]+x[22]+2*x[25]+2*x[26]+2*x[27]+4*x[28]+7*x[30]+3*x[31]+3*x[32]+x[35]+2*x[38]+x[39]+x[42]+2*x[44]+10*x[45]+5*x[48]+5*x[49]+13*x[52]+15*x[53]+13*x[56]+5*x[57]+10*x[59]+10*x[60]+4*x[63]+3*x[64]+x[66]+9*x[67]+5*x[70]+9*x[71]+10*x[73]+7*x[74]+11*x[76]+3*x[78]+5*x[80]+2*x[83]+4*x[84]+5*x[87]+2*x[89]+3*x[90]+x[93])*q^18 + (x[21]+x[24]+7*x[29]+2*x[40]+3*x[41]+4*x[43]+4*x[46]+6*x[47]+2*x[50]+14*x[51]+8*x[54]+17*x[55]+11*x[58]+11*x[61]+4*x[65]+5*x[68]+13*x[69]+6*x[72]+16*x[75]+8*x[79]+6*x[85]+2*x[86]+6*x[88]+3*x[91]+x[95])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+3*x[30]+3*x[31]+3*x[32]+x[38]+x[42]+x[44]+6*x[45]+4*x[48]+2*x[49]+10*x[52]+12*x[53]+11*x[56]+7*x[57]+11*x[59]+11*x[60]+2*x[63]+3*x[64]+x[66]+7*x[67]+4*x[70]+10*x[71]+12*x[73]+6*x[74]+11*x[76]+2*x[77]+7*x[78]+8*x[80]+x[81]+x[82]+2*x[83]+5*x[84]+6*x[87]+2*x[89]+6*x[90]+x[93]+x[94]+x[96])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+2*x[46]+4*x[47]+x[50]+8*x[51]+5*x[54]+13*x[55]+10*x[58]+12*x[61]+2*x[65]+4*x[68]+10*x[69]+7*x[72]+17*x[75]+10*x[79]+7*x[85]+2*x[86]+7*x[88]+5*x[91]+2*x[92]+2*x[95])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+3*x[48]+x[49]+5*x[52]+7*x[53]+8*x[56]+4*x[57]+9*x[59]+9*x[60]+x[63]+x[64]+5*x[67]+3*x[70]+7*x[71]+8*x[73]+6*x[74]+13*x[76]+x[77]+5*x[78]+11*x[80]+x[81]+x[82]+x[83]+5*x[84]+7*x[87]+3*x[89]+8*x[90]+2*x[93]+x[94]+x[96]+x[97])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+8*x[55]+6*x[58]+9*x[61]+x[65]+2*x[68]+6*x[69]+5*x[72]+13*x[75]+12*x[79]+6*x[85]+2*x[86]+8*x[88]+6*x[91]+3*x[92]+3*x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+6*x[59]+6*x[60]+x[64]+2*x[67]+2*x[70]+5*x[71]+6*x[73]+3*x[74]+8*x[76]+x[77]+5*x[78]+9*x[80]+3*x[81]+3*x[82]+x[83]+3*x[84]+6*x[87]+2*x[89]+9*x[90]+2*x[93]+3*x[94]+2*x[96]+x[97])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+8*x[75]+9*x[79]+4*x[85]+x[86]+6*x[88]+6*x[91]+4*x[92]+5*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+7*x[80]+2*x[81]+2*x[82]+2*x[84]+4*x[87]+2*x[89]+7*x[90]+2*x[93]+2*x[94]+2*x[96]+3*x[97]+x[98])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+4*x[91]+4*x[92]+4*x[95]+x[99])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #9 : [3, 2, 2, 2, 2, 1, 1, 1, 1, 1] dim = 60 A(O) = 1 , |A(O)_0| = 1 g_s = 4*V[3]+12*V[2]+24*V[1]+20*V[0] Z_G(x)_0 = O5+Sp4+O1 # Green Polys by orbit reps #9.1 : x[9] : [3, 2, 2, 2, 2, 1, 1, 1, 1, 1],[] : [[], [2, 2, 2, 1, 1]] Qxi[D8,9,1] = (x[9])*q^26 + (x[17]+x[18])*q^25 + (x[10]+x[13]+x[19]+x[22]+x[27]+x[34]+x[35])*q^24 + (x[15]+x[17]+2*x[18]+x[21]+x[24]+x[29]+x[36]+2*x[41]+x[43])*q^23 + (x[16]+3*x[19]+x[22]+x[23]+x[25]+x[26]+2*x[27]+2*x[28]+2*x[30]+x[34]+2*x[35]+2*x[38]+x[42]+x[44]+2*x[45]+x[49]+x[53]+x[63])*q^22 + (x[15]+2*x[18]+2*x[21]+3*x[24]+5*x[29]+x[36]+2*x[40]+5*x[41]+3*x[43]+x[46]+2*x[47]+x[50]+2*x[51]+x[54]+x[55]+x[65]+x[69])*q^21 + (2*x[19]+x[20]+3*x[22]+3*x[25]+3*x[26]+4*x[27]+2*x[28]+3*x[30]+2*x[31]+2*x[32]+2*x[35]+3*x[38]+x[39]+2*x[42]+x[44]+6*x[45]+x[48]+3*x[49]+4*x[52]+5*x[53]+2*x[56]+x[57]+x[62]+2*x[63]+2*x[64]+x[67]+x[70]+x[71]+x[73])*q^20 + (x[18]+2*x[21]+3*x[24]+8*x[29]+3*x[40]+5*x[41]+5*x[43]+3*x[46]+4*x[47]+2*x[50]+8*x[51]+4*x[54]+6*x[55]+2*x[58]+x[61]+3*x[65]+x[68]+5*x[69]+x[72]+x[75])*q^19 + (x[19]+x[22]+2*x[25]+2*x[26]+2*x[27]+4*x[28]+6*x[30]+2*x[31]+2*x[32]+x[35]+2*x[38]+x[39]+x[42]+2*x[44]+8*x[45]+3*x[48]+4*x[49]+8*x[52]+10*x[53]+7*x[56]+2*x[57]+3*x[59]+3*x[60]+3*x[63]+2*x[64]+5*x[67]+3*x[70]+3*x[71]+3*x[73]+2*x[74]+3*x[76]+x[83]+x[84])*q^18 + (x[21]+x[24]+7*x[29]+2*x[40]+3*x[41]+4*x[43]+3*x[46]+5*x[47]+2*x[50]+11*x[51]+6*x[54]+12*x[55]+6*x[58]+5*x[61]+3*x[65]+3*x[68]+9*x[69]+3*x[72]+6*x[75]+x[79]+2*x[85]+x[88])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+3*x[30]+3*x[31]+3*x[32]+x[38]+x[42]+x[44]+6*x[45]+3*x[48]+2*x[49]+9*x[52]+11*x[53]+9*x[56]+5*x[57]+7*x[59]+7*x[60]+2*x[63]+3*x[64]+x[66]+5*x[67]+3*x[70]+7*x[71]+8*x[73]+3*x[74]+6*x[76]+x[77]+4*x[78]+2*x[80]+x[83]+3*x[84]+2*x[87]+x[89]+x[90])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+2*x[46]+4*x[47]+x[50]+8*x[51]+5*x[54]+12*x[55]+8*x[58]+9*x[61]+2*x[65]+3*x[68]+9*x[69]+5*x[72]+12*x[75]+5*x[79]+4*x[85]+x[86]+4*x[88]+x[91])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+3*x[48]+x[49]+5*x[52]+7*x[53]+8*x[56]+4*x[57]+8*x[59]+8*x[60]+x[63]+x[64]+5*x[67]+3*x[70]+6*x[71]+7*x[73]+5*x[74]+11*x[76]+x[77]+4*x[78]+7*x[80]+x[83]+4*x[84]+4*x[87]+2*x[89]+4*x[90]+x[93])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+8*x[55]+6*x[58]+9*x[61]+x[65]+2*x[68]+6*x[69]+5*x[72]+12*x[75]+9*x[79]+5*x[85]+x[86]+6*x[88]+4*x[91]+x[92]+x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+6*x[59]+6*x[60]+x[64]+2*x[67]+2*x[70]+5*x[71]+6*x[73]+3*x[74]+8*x[76]+x[77]+5*x[78]+8*x[80]+2*x[81]+2*x[82]+x[83]+3*x[84]+5*x[87]+2*x[89]+7*x[90]+x[93]+2*x[94]+x[96])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+8*x[75]+9*x[79]+4*x[85]+x[86]+6*x[88]+5*x[91]+3*x[92]+3*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+7*x[80]+2*x[81]+2*x[82]+2*x[84]+4*x[87]+2*x[89]+7*x[90]+2*x[93]+2*x[94]+x[96]+2*x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+4*x[91]+4*x[92]+4*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #9.1 : c = () |O_x_c^F| = q^8*(q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,9,1] = (x[9])*q^26 + (x[17]+x[18])*q^25 + (x[10]+x[13]+x[19]+x[22]+x[27]+x[34]+x[35])*q^24 + (x[15]+x[17]+2*x[18]+x[21]+x[24]+x[29]+x[36]+2*x[41]+x[43])*q^23 + (x[16]+3*x[19]+x[22]+x[23]+x[25]+x[26]+2*x[27]+2*x[28]+2*x[30]+x[34]+2*x[35]+2*x[38]+x[42]+x[44]+2*x[45]+x[49]+x[53]+x[63])*q^22 + (x[15]+2*x[18]+2*x[21]+3*x[24]+5*x[29]+x[36]+2*x[40]+5*x[41]+3*x[43]+x[46]+2*x[47]+x[50]+2*x[51]+x[54]+x[55]+x[65]+x[69])*q^21 + (2*x[19]+x[20]+3*x[22]+3*x[25]+3*x[26]+4*x[27]+2*x[28]+3*x[30]+2*x[31]+2*x[32]+2*x[35]+3*x[38]+x[39]+2*x[42]+x[44]+6*x[45]+x[48]+3*x[49]+4*x[52]+5*x[53]+2*x[56]+x[57]+x[62]+2*x[63]+2*x[64]+x[67]+x[70]+x[71]+x[73])*q^20 + (x[18]+2*x[21]+3*x[24]+8*x[29]+3*x[40]+5*x[41]+5*x[43]+3*x[46]+4*x[47]+2*x[50]+8*x[51]+4*x[54]+6*x[55]+2*x[58]+x[61]+3*x[65]+x[68]+5*x[69]+x[72]+x[75])*q^19 + (x[19]+x[22]+2*x[25]+2*x[26]+2*x[27]+4*x[28]+6*x[30]+2*x[31]+2*x[32]+x[35]+2*x[38]+x[39]+x[42]+2*x[44]+8*x[45]+3*x[48]+4*x[49]+8*x[52]+10*x[53]+7*x[56]+2*x[57]+3*x[59]+3*x[60]+3*x[63]+2*x[64]+5*x[67]+3*x[70]+3*x[71]+3*x[73]+2*x[74]+3*x[76]+x[83]+x[84])*q^18 + (x[21]+x[24]+7*x[29]+2*x[40]+3*x[41]+4*x[43]+3*x[46]+5*x[47]+2*x[50]+11*x[51]+6*x[54]+12*x[55]+6*x[58]+5*x[61]+3*x[65]+3*x[68]+9*x[69]+3*x[72]+6*x[75]+x[79]+2*x[85]+x[88])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+3*x[30]+3*x[31]+3*x[32]+x[38]+x[42]+x[44]+6*x[45]+3*x[48]+2*x[49]+9*x[52]+11*x[53]+9*x[56]+5*x[57]+7*x[59]+7*x[60]+2*x[63]+3*x[64]+x[66]+5*x[67]+3*x[70]+7*x[71]+8*x[73]+3*x[74]+6*x[76]+x[77]+4*x[78]+2*x[80]+x[83]+3*x[84]+2*x[87]+x[89]+x[90])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+2*x[46]+4*x[47]+x[50]+8*x[51]+5*x[54]+12*x[55]+8*x[58]+9*x[61]+2*x[65]+3*x[68]+9*x[69]+5*x[72]+12*x[75]+5*x[79]+4*x[85]+x[86]+4*x[88]+x[91])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+3*x[48]+x[49]+5*x[52]+7*x[53]+8*x[56]+4*x[57]+8*x[59]+8*x[60]+x[63]+x[64]+5*x[67]+3*x[70]+6*x[71]+7*x[73]+5*x[74]+11*x[76]+x[77]+4*x[78]+7*x[80]+x[83]+4*x[84]+4*x[87]+2*x[89]+4*x[90]+x[93])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+8*x[55]+6*x[58]+9*x[61]+x[65]+2*x[68]+6*x[69]+5*x[72]+12*x[75]+9*x[79]+5*x[85]+x[86]+6*x[88]+4*x[91]+x[92]+x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+6*x[59]+6*x[60]+x[64]+2*x[67]+2*x[70]+5*x[71]+6*x[73]+3*x[74]+8*x[76]+x[77]+5*x[78]+8*x[80]+2*x[81]+2*x[82]+x[83]+3*x[84]+5*x[87]+2*x[89]+7*x[90]+x[93]+2*x[94]+x[96])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+8*x[75]+9*x[79]+4*x[85]+x[86]+6*x[88]+5*x[91]+3*x[92]+3*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+7*x[80]+2*x[81]+2*x[82]+2*x[84]+4*x[87]+2*x[89]+7*x[90]+2*x[93]+2*x[94]+x[96]+2*x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+4*x[91]+4*x[92]+4*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #10 : [3, 2, 2, 2, 2, 2, 2, 1] dim = 64 A(O) = 1 , |A(O)_0| = 1 g_s = 6*V[3]+17*V[2]+12*V[1]+21*V[0] Z_G(x)_0 = Sp6+2*O1 # Green Polys by orbit reps #10.1 : x[10] : [3, 2, 2, 2, 2, 2, 2, 1],[] : [[], [2, 2, 2, 2]] Qxi[D8,10,1] = (x[10])*q^24 + (x[18])*q^23 + (x[19]+x[28]+x[35])*q^22 + (x[15]+x[18]+x[29]+x[41]+x[43])*q^21 + (x[19]+x[22]+x[25]+x[26]+x[27]+x[28]+x[31]+x[32]+x[35]+x[38]+x[42]+x[45]+x[53]+x[64])*q^20 + (x[18]+x[21]+x[24]+3*x[29]+x[40]+2*x[41]+2*x[43]+x[47]+x[51]+x[54]+x[55]+x[69])*q^19 + (x[19]+x[22]+x[25]+x[26]+x[27]+3*x[28]+2*x[30]+x[31]+x[32]+x[35]+x[38]+x[44]+3*x[45]+x[48]+x[49]+2*x[52]+3*x[53]+2*x[56]+x[63]+x[64]+x[67]+x[70]+x[76])*q^18 + (x[21]+x[24]+4*x[29]+x[40]+2*x[41]+3*x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+4*x[55]+x[58]+x[61]+x[65]+3*x[69]+x[72]+x[75])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+2*x[30]+2*x[31]+2*x[32]+x[38]+x[42]+x[44]+4*x[45]+x[48]+x[49]+4*x[52]+6*x[53]+4*x[56]+2*x[57]+2*x[59]+2*x[60]+x[63]+2*x[64]+2*x[67]+x[70]+2*x[71]+2*x[73]+2*x[76]+x[77]+2*x[78]+x[84])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+x[46]+3*x[47]+x[50]+5*x[51]+3*x[54]+7*x[55]+3*x[58]+4*x[61]+x[65]+x[68]+5*x[69]+2*x[72]+4*x[75]+x[79]+x[85]+x[88])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+2*x[48]+x[49]+4*x[52]+6*x[53]+6*x[56]+2*x[57]+4*x[59]+4*x[60]+x[63]+x[64]+3*x[67]+2*x[70]+3*x[71]+3*x[73]+2*x[74]+6*x[76]+2*x[78]+2*x[80]+2*x[84]+x[87]+x[89]+x[90])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+7*x[55]+4*x[58]+6*x[61]+x[65]+x[68]+5*x[69]+3*x[72]+7*x[75]+4*x[79]+2*x[85]+3*x[88]+x[91])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+5*x[59]+5*x[60]+x[64]+2*x[67]+2*x[70]+4*x[71]+5*x[73]+2*x[74]+6*x[76]+x[77]+4*x[78]+4*x[80]+x[81]+x[82]+x[83]+2*x[84]+2*x[87]+x[89]+3*x[90]+x[94])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+7*x[75]+6*x[79]+3*x[85]+4*x[88]+3*x[91]+x[92]+x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+6*x[80]+x[81]+x[82]+2*x[84]+3*x[87]+2*x[89]+5*x[90]+x[93]+x[94]+x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+3*x[91]+3*x[92]+2*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #10.1 : c = () |O_x_c^F| = q^12*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,10,1] = (x[10])*q^24 + (x[18])*q^23 + (x[19]+x[28]+x[35])*q^22 + (x[15]+x[18]+x[29]+x[41]+x[43])*q^21 + (x[19]+x[22]+x[25]+x[26]+x[27]+x[28]+x[31]+x[32]+x[35]+x[38]+x[42]+x[45]+x[53]+x[64])*q^20 + (x[18]+x[21]+x[24]+3*x[29]+x[40]+2*x[41]+2*x[43]+x[47]+x[51]+x[54]+x[55]+x[69])*q^19 + (x[19]+x[22]+x[25]+x[26]+x[27]+3*x[28]+2*x[30]+x[31]+x[32]+x[35]+x[38]+x[44]+3*x[45]+x[48]+x[49]+2*x[52]+3*x[53]+2*x[56]+x[63]+x[64]+x[67]+x[70]+x[76])*q^18 + (x[21]+x[24]+4*x[29]+x[40]+2*x[41]+3*x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+4*x[55]+x[58]+x[61]+x[65]+3*x[69]+x[72]+x[75])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+2*x[30]+2*x[31]+2*x[32]+x[38]+x[42]+x[44]+4*x[45]+x[48]+x[49]+4*x[52]+6*x[53]+4*x[56]+2*x[57]+2*x[59]+2*x[60]+x[63]+2*x[64]+2*x[67]+x[70]+2*x[71]+2*x[73]+2*x[76]+x[77]+2*x[78]+x[84])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+x[46]+3*x[47]+x[50]+5*x[51]+3*x[54]+7*x[55]+3*x[58]+4*x[61]+x[65]+x[68]+5*x[69]+2*x[72]+4*x[75]+x[79]+x[85]+x[88])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+2*x[48]+x[49]+4*x[52]+6*x[53]+6*x[56]+2*x[57]+4*x[59]+4*x[60]+x[63]+x[64]+3*x[67]+2*x[70]+3*x[71]+3*x[73]+2*x[74]+6*x[76]+2*x[78]+2*x[80]+2*x[84]+x[87]+x[89]+x[90])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+7*x[55]+4*x[58]+6*x[61]+x[65]+x[68]+5*x[69]+3*x[72]+7*x[75]+4*x[79]+2*x[85]+3*x[88]+x[91])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+5*x[59]+5*x[60]+x[64]+2*x[67]+2*x[70]+4*x[71]+5*x[73]+2*x[74]+6*x[76]+x[77]+4*x[78]+4*x[80]+x[81]+x[82]+x[83]+2*x[84]+2*x[87]+x[89]+3*x[90]+x[94])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+7*x[75]+6*x[79]+3*x[85]+4*x[88]+3*x[91]+x[92]+x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+6*x[80]+x[81]+x[82]+2*x[84]+3*x[87]+2*x[89]+5*x[90]+x[93]+x[94]+x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+3*x[91]+3*x[92]+2*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #11 : [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] dim = 50 A(O) = Z2 , |A(O)_0| = 2 g_s = V[4]+23*V[2]+46*V[0] Z_G(x)_0 = O10+O2 # Green Polys by orbit reps #11.1 : x[11] : [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],[1] : [[1], [2, 1, 1, 1, 1, 1]] Qxi[D8,11,1] = (x[11])*q^31 + (x[13]+x[23]+x[33])*q^30 + (x[15]+x[17]+x[24]+2*x[36])*q^29 + (x[13]+x[16]+x[19]+x[23]+x[25]+x[26]+x[27]+x[34]+2*x[38]+x[49]+x[62])*q^28 + (x[14]+x[15]+x[17]+x[18]+x[21]+3*x[24]+x[29]+2*x[36]+2*x[40]+2*x[41]+x[50]+x[51]+x[65])*q^27 + (x[13]+x[16]+2*x[19]+x[20]+x[22]+2*x[23]+2*x[25]+2*x[26]+2*x[27]+x[28]+2*x[30]+x[34]+x[35]+3*x[38]+2*x[39]+2*x[45]+3*x[49]+2*x[52]+x[53]+x[62]+x[63]+x[67])*q^26 + (2*x[15]+x[17]+x[18]+2*x[21]+5*x[24]+4*x[29]+2*x[36]+x[37]+3*x[40]+4*x[41]+2*x[43]+2*x[46]+2*x[50]+5*x[51]+x[54]+x[55]+x[58]+3*x[65]+x[68]+x[69])*q^25 + (x[13]+x[16]+3*x[19]+x[20]+x[22]+x[23]+4*x[25]+4*x[26]+4*x[27]+x[28]+4*x[30]+x[31]+x[32]+x[34]+x[35]+5*x[38]+2*x[39]+x[42]+5*x[45]+5*x[49]+6*x[52]+4*x[53]+2*x[56]+x[59]+x[60]+x[62]+2*x[63]+x[64]+x[66]+3*x[67]+x[71]+2*x[73]+x[83])*q^24 + (x[15]+x[17]+x[18]+3*x[21]+6*x[24]+8*x[29]+2*x[36]+5*x[40]+6*x[41]+2*x[43]+3*x[46]+2*x[47]+4*x[50]+10*x[51]+3*x[54]+5*x[55]+3*x[58]+x[61]+4*x[65]+3*x[68]+4*x[69]+2*x[75]+x[85])*q^23 + (x[16]+3*x[19]+x[20]+2*x[22]+x[23]+4*x[25]+4*x[26]+4*x[27]+3*x[28]+7*x[30]+2*x[31]+2*x[32]+x[34]+x[35]+5*x[38]+2*x[39]+x[42]+x[44]+8*x[45]+2*x[48]+7*x[49]+11*x[52]+8*x[53]+6*x[56]+x[57]+3*x[59]+3*x[60]+x[62]+3*x[63]+x[64]+x[66]+6*x[67]+x[70]+3*x[71]+4*x[73]+3*x[74]+2*x[76]+x[83]+x[84]+x[87])*q^22 + (x[15]+x[18]+3*x[21]+5*x[24]+10*x[29]+x[36]+5*x[40]+6*x[41]+4*x[43]+5*x[46]+4*x[47]+4*x[50]+15*x[51]+6*x[54]+10*x[55]+7*x[58]+3*x[61]+6*x[65]+4*x[68]+7*x[69]+x[72]+7*x[75]+x[79]+2*x[85]+x[86]+x[88])*q^21 + (2*x[19]+x[20]+2*x[22]+4*x[25]+4*x[26]+4*x[27]+2*x[28]+7*x[30]+3*x[31]+3*x[32]+x[35]+4*x[38]+2*x[39]+2*x[42]+x[44]+10*x[45]+3*x[48]+6*x[49]+14*x[52]+12*x[53]+9*x[56]+3*x[57]+7*x[59]+7*x[60]+x[62]+3*x[63]+2*x[64]+x[66]+8*x[67]+2*x[70]+6*x[71]+9*x[73]+4*x[74]+4*x[76]+3*x[78]+2*x[80]+2*x[83]+2*x[84]+2*x[87]+x[90])*q^20 + (x[18]+2*x[21]+3*x[24]+10*x[29]+4*x[40]+5*x[41]+4*x[43]+5*x[46]+5*x[47]+4*x[50]+16*x[51]+7*x[54]+15*x[55]+10*x[58]+7*x[61]+5*x[65]+6*x[68]+10*x[69]+3*x[72]+12*x[75]+4*x[79]+5*x[85]+x[86]+2*x[88]+x[91])*q^19 + (x[19]+x[22]+2*x[25]+2*x[26]+2*x[27]+3*x[28]+7*x[30]+3*x[31]+3*x[32]+x[35]+2*x[38]+x[39]+x[42]+x[44]+9*x[45]+4*x[48]+5*x[49]+13*x[52]+13*x[53]+12*x[56]+4*x[57]+10*x[59]+10*x[60]+3*x[63]+2*x[64]+x[66]+9*x[67]+3*x[70]+8*x[71]+10*x[73]+7*x[74]+9*x[76]+3*x[78]+5*x[80]+2*x[83]+3*x[84]+5*x[87]+x[89]+3*x[90]+x[93])*q^18 + (x[21]+x[24]+7*x[29]+2*x[40]+3*x[41]+3*x[43]+4*x[46]+5*x[47]+2*x[50]+14*x[51]+7*x[54]+16*x[55]+11*x[58]+10*x[61]+4*x[65]+5*x[68]+11*x[69]+4*x[72]+16*x[75]+8*x[79]+6*x[85]+2*x[86]+5*x[88]+3*x[91]+x[95])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+3*x[30]+3*x[31]+3*x[32]+x[38]+x[42]+x[44]+6*x[45]+4*x[48]+2*x[49]+10*x[52]+11*x[53]+11*x[56]+6*x[57]+11*x[59]+11*x[60]+2*x[63]+2*x[64]+x[66]+7*x[67]+3*x[70]+9*x[71]+12*x[73]+6*x[74]+10*x[76]+x[77]+6*x[78]+8*x[80]+x[81]+x[82]+2*x[83]+4*x[84]+6*x[87]+x[89]+6*x[90]+x[93]+x[94]+x[96])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+2*x[46]+4*x[47]+x[50]+8*x[51]+5*x[54]+13*x[55]+10*x[58]+11*x[61]+2*x[65]+4*x[68]+9*x[69]+6*x[72]+17*x[75]+10*x[79]+7*x[85]+2*x[86]+6*x[88]+5*x[91]+2*x[92]+2*x[95])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+3*x[48]+x[49]+5*x[52]+7*x[53]+8*x[56]+4*x[57]+9*x[59]+9*x[60]+x[63]+x[64]+5*x[67]+3*x[70]+7*x[71]+8*x[73]+6*x[74]+12*x[76]+x[77]+5*x[78]+11*x[80]+x[81]+x[82]+x[83]+4*x[84]+7*x[87]+2*x[89]+8*x[90]+2*x[93]+x[94]+x[96]+x[97])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+8*x[55]+6*x[58]+9*x[61]+x[65]+2*x[68]+6*x[69]+5*x[72]+13*x[75]+12*x[79]+6*x[85]+2*x[86]+7*x[88]+6*x[91]+3*x[92]+3*x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+6*x[59]+6*x[60]+x[64]+2*x[67]+2*x[70]+5*x[71]+6*x[73]+3*x[74]+8*x[76]+x[77]+5*x[78]+9*x[80]+3*x[81]+3*x[82]+x[83]+3*x[84]+6*x[87]+2*x[89]+9*x[90]+2*x[93]+2*x[94]+2*x[96]+x[97])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+8*x[75]+9*x[79]+4*x[85]+x[86]+6*x[88]+6*x[91]+4*x[92]+5*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+7*x[80]+2*x[81]+2*x[82]+2*x[84]+4*x[87]+2*x[89]+7*x[90]+2*x[93]+2*x[94]+2*x[96]+3*x[97]+x[98])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+4*x[91]+4*x[92]+4*x[95]+x[99])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #11.2 : x[12] : [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],[-1] : [[2], [1, 1, 1, 1, 1, 1]] Qxi[D8,11,2] = (x[12])*q^31 + (x[14]+x[37])*q^30 + (x[16]+x[23]+x[39])*q^29 + (x[14]+x[15]+x[24]+x[37]+x[40]+x[50])*q^28 + (x[13]+x[16]+x[20]+x[23]+x[25]+x[26]+x[27]+x[38]+2*x[39]+x[52]+x[66])*q^27 + (x[14]+x[15]+x[21]+3*x[24]+x[29]+x[36]+x[37]+2*x[40]+x[46]+2*x[50]+x[51]+x[54]+x[68])*q^26 + (2*x[16]+x[19]+x[20]+x[23]+2*x[25]+2*x[26]+x[27]+x[28]+2*x[30]+2*x[38]+3*x[39]+x[45]+2*x[49]+3*x[52]+x[56]+x[66]+x[67]+x[74])*q^25 + (x[14]+x[15]+2*x[21]+4*x[24]+3*x[29]+x[37]+4*x[40]+x[41]+2*x[46]+3*x[50]+4*x[51]+2*x[54]+x[55]+x[58]+x[65]+2*x[68]+x[75])*q^24 + (x[16]+x[19]+2*x[20]+x[22]+x[23]+3*x[25]+3*x[26]+2*x[27]+3*x[30]+x[31]+x[32]+2*x[38]+4*x[39]+3*x[45]+2*x[49]+7*x[52]+2*x[53]+2*x[56]+x[59]+x[60]+2*x[66]+2*x[67]+x[71]+x[73]+2*x[74]+x[78])*q^23 + (x[15]+2*x[21]+4*x[24]+5*x[29]+x[37]+4*x[40]+x[41]+x[43]+4*x[46]+4*x[50]+7*x[51]+3*x[54]+4*x[55]+3*x[58]+x[61]+x[65]+4*x[68]+x[69]+3*x[75]+x[86])*q^22 + (x[16]+x[19]+x[20]+3*x[25]+3*x[26]+x[27]+x[28]+5*x[30]+x[31]+x[32]+2*x[38]+3*x[39]+4*x[45]+x[48]+3*x[49]+9*x[52]+4*x[53]+5*x[56]+3*x[59]+3*x[60]+2*x[66]+4*x[67]+2*x[71]+2*x[73]+4*x[74]+x[76]+x[78]+x[80]+x[87])*q^21 + (2*x[21]+3*x[24]+5*x[29]+4*x[40]+x[41]+4*x[46]+x[47]+3*x[50]+9*x[51]+4*x[54]+7*x[55]+5*x[58]+3*x[61]+x[65]+5*x[68]+2*x[69]+6*x[75]+x[79]+x[85]+x[86]+x[91])*q^20 + (x[20]+x[22]+2*x[25]+2*x[26]+x[27]+x[28]+4*x[30]+2*x[31]+2*x[32]+x[38]+2*x[39]+4*x[45]+2*x[48]+2*x[49]+10*x[52]+4*x[53]+6*x[56]+2*x[57]+5*x[59]+5*x[60]+2*x[66]+4*x[67]+4*x[71]+4*x[73]+5*x[74]+2*x[76]+3*x[78]+2*x[80]+2*x[87]+x[90])*q^19 + (x[21]+x[24]+4*x[29]+2*x[40]+x[43]+4*x[46]+x[47]+2*x[50]+8*x[51]+4*x[54]+8*x[55]+6*x[58]+4*x[61]+x[65]+5*x[68]+2*x[69]+x[72]+9*x[75]+3*x[79]+x[85]+2*x[86]+x[88]+2*x[91])*q^18 + (x[25]+x[26]+3*x[30]+x[31]+x[32]+x[39]+3*x[45]+2*x[48]+x[49]+7*x[52]+4*x[53]+6*x[56]+x[57]+6*x[59]+6*x[60]+x[66]+4*x[67]+4*x[71]+4*x[73]+5*x[74]+4*x[76]+3*x[78]+5*x[80]+3*x[87]+2*x[90])*q^17 + (2*x[29]+x[40]+2*x[46]+x[47]+x[50]+5*x[51]+2*x[54]+7*x[55]+5*x[58]+5*x[61]+4*x[68]+2*x[69]+x[72]+9*x[75]+5*x[79]+2*x[85]+2*x[86]+x[88]+3*x[91]+x[92])*q^16 + (x[30]+x[31]+x[32]+x[45]+x[48]+4*x[52]+2*x[53]+4*x[56]+2*x[57]+5*x[59]+5*x[60]+x[66]+2*x[67]+4*x[71]+3*x[73]+4*x[74]+4*x[76]+3*x[78]+5*x[80]+x[81]+x[82]+4*x[87]+3*x[90]+x[96])*q^15 + (x[46]+2*x[51]+x[54]+4*x[55]+3*x[58]+4*x[61]+2*x[68]+x[69]+x[72]+7*x[75]+5*x[79]+x[85]+2*x[86]+2*x[88]+4*x[91]+x[92]+x[95])*q^14 + (x[48]+x[52]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+2*x[71]+2*x[73]+2*x[74]+3*x[76]+2*x[78]+5*x[80]+x[81]+x[82]+3*x[87]+3*x[90]+x[96]+x[97])*q^13 + (x[55]+x[58]+2*x[61]+x[68]+x[72]+4*x[75]+4*x[79]+x[85]+x[86]+x[88]+3*x[91]+2*x[92]+x[95])*q^12 + (x[59]+x[60]+x[71]+x[74]+x[76]+x[78]+3*x[80]+x[81]+x[82]+2*x[87]+3*x[90]+x[96]+x[97])*q^11 + (x[75]+2*x[79]+x[86]+x[88]+2*x[91]+2*x[92]+x[95])*q^10 + (x[80]+x[81]+x[82]+x[87]+x[90]+x[96]+x[97])*q^9 + (x[91]+x[92]+x[95])*q^8 + (x[96]+x[97])*q^7 + (x[99])*q^6 # Green Polys by conj class in A(O) #11.1 : c = () |O_x_c^F| = 1/2*q^12*(q+1)*(q^2+1)*(q^4+1)*(q^5+1)*(q^12-1)*(q^14-1) Qxc[D8,11,1] = (x[11]+x[12])*q^31 + (x[13]+x[14]+x[23]+x[33]+x[37])*q^30 + (x[15]+x[16]+x[17]+x[23]+x[24]+2*x[36]+x[39])*q^29 + (x[13]+x[14]+x[15]+x[16]+x[19]+x[23]+x[24]+x[25]+x[26]+x[27]+x[34]+x[37]+2*x[38]+x[40]+x[49]+x[50]+x[62])*q^28 + (x[13]+x[14]+x[15]+x[16]+x[17]+x[18]+x[20]+x[21]+x[23]+3*x[24]+x[25]+x[26]+x[27]+x[29]+2*x[36]+x[38]+2*x[39]+2*x[40]+2*x[41]+x[50]+x[51]+x[52]+x[65]+x[66])*q^27 + (x[13]+x[14]+x[15]+x[16]+2*x[19]+x[20]+x[21]+x[22]+2*x[23]+3*x[24]+2*x[25]+2*x[26]+2*x[27]+x[28]+x[29]+2*x[30]+x[34]+x[35]+x[36]+x[37]+3*x[38]+2*x[39]+2*x[40]+2*x[45]+x[46]+3*x[49]+2*x[50]+x[51]+2*x[52]+x[53]+x[54]+x[62]+x[63]+x[67]+x[68])*q^26 + (2*x[15]+2*x[16]+x[17]+x[18]+x[19]+x[20]+2*x[21]+x[23]+5*x[24]+2*x[25]+2*x[26]+x[27]+x[28]+4*x[29]+2*x[30]+2*x[36]+x[37]+2*x[38]+3*x[39]+3*x[40]+4*x[41]+2*x[43]+x[45]+2*x[46]+2*x[49]+2*x[50]+5*x[51]+3*x[52]+x[54]+x[55]+x[56]+x[58]+3*x[65]+x[66]+x[67]+x[68]+x[69]+x[74])*q^25 + (x[13]+x[14]+x[15]+x[16]+3*x[19]+x[20]+2*x[21]+x[22]+x[23]+4*x[24]+4*x[25]+4*x[26]+4*x[27]+x[28]+3*x[29]+4*x[30]+x[31]+x[32]+x[34]+x[35]+x[37]+5*x[38]+2*x[39]+4*x[40]+x[41]+x[42]+5*x[45]+2*x[46]+5*x[49]+3*x[50]+4*x[51]+6*x[52]+4*x[53]+2*x[54]+x[55]+2*x[56]+x[58]+x[59]+x[60]+x[62]+2*x[63]+x[64]+x[65]+x[66]+3*x[67]+2*x[68]+x[71]+2*x[73]+x[75]+x[83])*q^24 + (x[15]+x[16]+x[17]+x[18]+x[19]+2*x[20]+3*x[21]+x[22]+x[23]+6*x[24]+3*x[25]+3*x[26]+2*x[27]+8*x[29]+3*x[30]+x[31]+x[32]+2*x[36]+2*x[38]+4*x[39]+5*x[40]+6*x[41]+2*x[43]+3*x[45]+3*x[46]+2*x[47]+2*x[49]+4*x[50]+10*x[51]+7*x[52]+2*x[53]+3*x[54]+5*x[55]+2*x[56]+3*x[58]+x[59]+x[60]+x[61]+4*x[65]+2*x[66]+2*x[67]+3*x[68]+4*x[69]+x[71]+x[73]+2*x[74]+2*x[75]+x[78]+x[85])*q^23 + (x[15]+x[16]+3*x[19]+x[20]+2*x[21]+2*x[22]+x[23]+4*x[24]+4*x[25]+4*x[26]+4*x[27]+3*x[28]+5*x[29]+7*x[30]+2*x[31]+2*x[32]+x[34]+x[35]+x[37]+5*x[38]+2*x[39]+4*x[40]+x[41]+x[42]+x[43]+x[44]+8*x[45]+4*x[46]+2*x[48]+7*x[49]+4*x[50]+7*x[51]+11*x[52]+8*x[53]+3*x[54]+4*x[55]+6*x[56]+x[57]+3*x[58]+3*x[59]+3*x[60]+x[61]+x[62]+3*x[63]+x[64]+x[65]+x[66]+6*x[67]+4*x[68]+x[69]+x[70]+3*x[71]+4*x[73]+3*x[74]+3*x[75]+2*x[76]+x[83]+x[84]+x[86]+x[87])*q^22 + (x[15]+x[16]+x[18]+x[19]+x[20]+3*x[21]+5*x[24]+3*x[25]+3*x[26]+x[27]+x[28]+10*x[29]+5*x[30]+x[31]+x[32]+x[36]+2*x[38]+3*x[39]+5*x[40]+6*x[41]+4*x[43]+4*x[45]+5*x[46]+4*x[47]+x[48]+3*x[49]+4*x[50]+15*x[51]+9*x[52]+4*x[53]+6*x[54]+10*x[55]+5*x[56]+7*x[58]+3*x[59]+3*x[60]+3*x[61]+6*x[65]+2*x[66]+4*x[67]+4*x[68]+7*x[69]+2*x[71]+x[72]+2*x[73]+4*x[74]+7*x[75]+x[76]+x[78]+x[79]+x[80]+2*x[85]+x[86]+x[87]+x[88])*q^21 + (2*x[19]+x[20]+2*x[21]+2*x[22]+3*x[24]+4*x[25]+4*x[26]+4*x[27]+2*x[28]+5*x[29]+7*x[30]+3*x[31]+3*x[32]+x[35]+4*x[38]+2*x[39]+4*x[40]+x[41]+2*x[42]+x[44]+10*x[45]+4*x[46]+x[47]+3*x[48]+6*x[49]+3*x[50]+9*x[51]+14*x[52]+12*x[53]+4*x[54]+7*x[55]+9*x[56]+3*x[57]+5*x[58]+7*x[59]+7*x[60]+3*x[61]+x[62]+3*x[63]+2*x[64]+x[65]+x[66]+8*x[67]+5*x[68]+2*x[69]+2*x[70]+6*x[71]+9*x[73]+4*x[74]+6*x[75]+4*x[76]+3*x[78]+x[79]+2*x[80]+2*x[83]+2*x[84]+x[85]+x[86]+2*x[87]+x[90]+x[91])*q^20 + (x[18]+x[20]+2*x[21]+x[22]+3*x[24]+2*x[25]+2*x[26]+x[27]+x[28]+10*x[29]+4*x[30]+2*x[31]+2*x[32]+x[38]+2*x[39]+4*x[40]+5*x[41]+4*x[43]+4*x[45]+5*x[46]+5*x[47]+2*x[48]+2*x[49]+4*x[50]+16*x[51]+10*x[52]+4*x[53]+7*x[54]+15*x[55]+6*x[56]+2*x[57]+10*x[58]+5*x[59]+5*x[60]+7*x[61]+5*x[65]+2*x[66]+4*x[67]+6*x[68]+10*x[69]+4*x[71]+3*x[72]+4*x[73]+5*x[74]+12*x[75]+2*x[76]+3*x[78]+4*x[79]+2*x[80]+5*x[85]+x[86]+2*x[87]+2*x[88]+x[90]+x[91])*q^19 + (x[19]+x[21]+x[22]+x[24]+2*x[25]+2*x[26]+2*x[27]+3*x[28]+4*x[29]+7*x[30]+3*x[31]+3*x[32]+x[35]+2*x[38]+x[39]+2*x[40]+x[42]+x[43]+x[44]+9*x[45]+4*x[46]+x[47]+4*x[48]+5*x[49]+2*x[50]+8*x[51]+13*x[52]+13*x[53]+4*x[54]+8*x[55]+12*x[56]+4*x[57]+6*x[58]+10*x[59]+10*x[60]+4*x[61]+3*x[63]+2*x[64]+x[65]+x[66]+9*x[67]+5*x[68]+2*x[69]+3*x[70]+8*x[71]+x[72]+10*x[73]+7*x[74]+9*x[75]+9*x[76]+3*x[78]+3*x[79]+5*x[80]+2*x[83]+3*x[84]+x[85]+2*x[86]+5*x[87]+x[88]+x[89]+3*x[90]+2*x[91]+x[93])*q^18 + (x[21]+x[24]+x[25]+x[26]+7*x[29]+3*x[30]+x[31]+x[32]+x[39]+2*x[40]+3*x[41]+3*x[43]+3*x[45]+4*x[46]+5*x[47]+2*x[48]+x[49]+2*x[50]+14*x[51]+7*x[52]+4*x[53]+7*x[54]+16*x[55]+6*x[56]+x[57]+11*x[58]+6*x[59]+6*x[60]+10*x[61]+4*x[65]+x[66]+4*x[67]+5*x[68]+11*x[69]+4*x[71]+4*x[72]+4*x[73]+5*x[74]+16*x[75]+4*x[76]+3*x[78]+8*x[79]+5*x[80]+6*x[85]+2*x[86]+3*x[87]+5*x[88]+2*x[90]+3*x[91]+x[95])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+2*x[29]+3*x[30]+3*x[31]+3*x[32]+x[38]+x[40]+x[42]+x[44]+6*x[45]+2*x[46]+x[47]+4*x[48]+2*x[49]+x[50]+5*x[51]+10*x[52]+11*x[53]+2*x[54]+7*x[55]+11*x[56]+6*x[57]+5*x[58]+11*x[59]+11*x[60]+5*x[61]+2*x[63]+2*x[64]+x[66]+7*x[67]+4*x[68]+2*x[69]+3*x[70]+9*x[71]+x[72]+12*x[73]+6*x[74]+9*x[75]+10*x[76]+x[77]+6*x[78]+5*x[79]+8*x[80]+x[81]+x[82]+2*x[83]+4*x[84]+2*x[85]+2*x[86]+6*x[87]+x[88]+x[89]+6*x[90]+3*x[91]+x[92]+x[93]+x[94]+x[96])*q^16 + (4*x[29]+x[30]+x[31]+x[32]+x[40]+x[41]+2*x[43]+x[45]+2*x[46]+4*x[47]+x[48]+x[50]+8*x[51]+4*x[52]+2*x[53]+5*x[54]+13*x[55]+4*x[56]+2*x[57]+10*x[58]+5*x[59]+5*x[60]+11*x[61]+2*x[65]+x[66]+2*x[67]+4*x[68]+9*x[69]+4*x[71]+6*x[72]+3*x[73]+4*x[74]+17*x[75]+4*x[76]+3*x[78]+10*x[79]+5*x[80]+x[81]+x[82]+7*x[85]+2*x[86]+4*x[87]+6*x[88]+3*x[90]+5*x[91]+2*x[92]+2*x[95]+x[96])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+x[46]+3*x[48]+x[49]+2*x[51]+5*x[52]+7*x[53]+x[54]+4*x[55]+8*x[56]+4*x[57]+3*x[58]+9*x[59]+9*x[60]+4*x[61]+x[63]+x[64]+5*x[67]+2*x[68]+x[69]+3*x[70]+7*x[71]+x[72]+8*x[73]+6*x[74]+7*x[75]+12*x[76]+x[77]+5*x[78]+5*x[79]+11*x[80]+x[81]+x[82]+x[83]+4*x[84]+x[85]+2*x[86]+7*x[87]+2*x[88]+2*x[89]+8*x[90]+4*x[91]+x[92]+2*x[93]+x[94]+x[95]+x[96]+x[97])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+x[48]+4*x[51]+x[52]+3*x[54]+8*x[55]+2*x[56]+x[57]+6*x[58]+3*x[59]+3*x[60]+9*x[61]+x[65]+x[67]+2*x[68]+6*x[69]+2*x[71]+5*x[72]+2*x[73]+2*x[74]+13*x[75]+3*x[76]+2*x[78]+12*x[79]+5*x[80]+x[81]+x[82]+6*x[85]+2*x[86]+3*x[87]+7*x[88]+3*x[90]+6*x[91]+3*x[92]+3*x[95]+x[96]+x[97])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+x[55]+4*x[56]+4*x[57]+x[58]+6*x[59]+6*x[60]+2*x[61]+x[64]+2*x[67]+x[68]+2*x[70]+5*x[71]+x[72]+6*x[73]+3*x[74]+4*x[75]+8*x[76]+x[77]+5*x[78]+4*x[79]+9*x[80]+3*x[81]+3*x[82]+x[83]+3*x[84]+x[85]+x[86]+6*x[87]+x[88]+2*x[89]+9*x[90]+3*x[91]+2*x[92]+2*x[93]+2*x[94]+x[95]+2*x[96]+x[97])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+x[59]+x[60]+6*x[61]+x[68]+3*x[69]+x[71]+3*x[72]+x[74]+8*x[75]+x[76]+x[78]+9*x[79]+3*x[80]+x[81]+x[82]+4*x[85]+x[86]+2*x[87]+6*x[88]+3*x[90]+6*x[91]+4*x[92]+5*x[95]+x[96]+x[97])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+x[75]+6*x[76]+2*x[78]+2*x[79]+7*x[80]+2*x[81]+2*x[82]+2*x[84]+x[86]+4*x[87]+x[88]+2*x[89]+7*x[90]+2*x[91]+2*x[92]+2*x[93]+2*x[94]+x[95]+2*x[96]+3*x[97]+x[98])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+x[80]+x[81]+x[82]+2*x[85]+x[86]+x[87]+4*x[88]+x[90]+4*x[91]+4*x[92]+4*x[95]+x[96]+x[97]+x[99])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[91]+x[92]+x[93]+2*x[94]+x[95]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+x[96]+x[97]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98]+x[99])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #11.2 : c = (1) |O_x_c^F| = 1/2*q^12*(q-1)*(q^2+1)*(q^4+1)*(q^5-1)*(q^12-1)*(q^14-1) Qxc[D8,11,2] = (x[11]-x[12])*q^31 + (x[13]-x[14]+x[23]+x[33]-x[37])*q^30 + (x[15]-x[16]+x[17]-x[23]+x[24]+2*x[36]-x[39])*q^29 + (x[13]-x[14]-x[15]+x[16]+x[19]+x[23]-x[24]+x[25]+x[26]+x[27]+x[34]-x[37]+2*x[38]-x[40]+x[49]-x[50]+x[62])*q^28 + (-x[13]+x[14]+x[15]-x[16]+x[17]+x[18]-x[20]+x[21]-x[23]+3*x[24]-x[25]-x[26]-x[27]+x[29]+2*x[36]-x[38]-2*x[39]+2*x[40]+2*x[41]+x[50]+x[51]-x[52]+x[65]-x[66])*q^27 + (x[13]-x[14]-x[15]+x[16]+2*x[19]+x[20]-x[21]+x[22]+2*x[23]-3*x[24]+2*x[25]+2*x[26]+2*x[27]+x[28]-x[29]+2*x[30]+x[34]+x[35]-x[36]-x[37]+3*x[38]+2*x[39]-2*x[40]+2*x[45]-x[46]+3*x[49]-2*x[50]-x[51]+2*x[52]+x[53]-x[54]+x[62]+x[63]+x[67]-x[68])*q^26 + (2*x[15]-2*x[16]+x[17]+x[18]-x[19]-x[20]+2*x[21]-x[23]+5*x[24]-2*x[25]-2*x[26]-x[27]-x[28]+4*x[29]-2*x[30]+2*x[36]+x[37]-2*x[38]-3*x[39]+3*x[40]+4*x[41]+2*x[43]-x[45]+2*x[46]-2*x[49]+2*x[50]+5*x[51]-3*x[52]+x[54]+x[55]-x[56]+x[58]+3*x[65]-x[66]-x[67]+x[68]+x[69]-x[74])*q^25 + (x[13]-x[14]-x[15]+x[16]+3*x[19]+x[20]-2*x[21]+x[22]+x[23]-4*x[24]+4*x[25]+4*x[26]+4*x[27]+x[28]-3*x[29]+4*x[30]+x[31]+x[32]+x[34]+x[35]-x[37]+5*x[38]+2*x[39]-4*x[40]-x[41]+x[42]+5*x[45]-2*x[46]+5*x[49]-3*x[50]-4*x[51]+6*x[52]+4*x[53]-2*x[54]-x[55]+2*x[56]-x[58]+x[59]+x[60]+x[62]+2*x[63]+x[64]-x[65]+x[66]+3*x[67]-2*x[68]+x[71]+2*x[73]-x[75]+x[83])*q^24 + (x[15]-x[16]+x[17]+x[18]-x[19]-2*x[20]+3*x[21]-x[22]-x[23]+6*x[24]-3*x[25]-3*x[26]-2*x[27]+8*x[29]-3*x[30]-x[31]-x[32]+2*x[36]-2*x[38]-4*x[39]+5*x[40]+6*x[41]+2*x[43]-3*x[45]+3*x[46]+2*x[47]-2*x[49]+4*x[50]+10*x[51]-7*x[52]-2*x[53]+3*x[54]+5*x[55]-2*x[56]+3*x[58]-x[59]-x[60]+x[61]+4*x[65]-2*x[66]-2*x[67]+3*x[68]+4*x[69]-x[71]-x[73]-2*x[74]+2*x[75]-x[78]+x[85])*q^23 + (-x[15]+x[16]+3*x[19]+x[20]-2*x[21]+2*x[22]+x[23]-4*x[24]+4*x[25]+4*x[26]+4*x[27]+3*x[28]-5*x[29]+7*x[30]+2*x[31]+2*x[32]+x[34]+x[35]-x[37]+5*x[38]+2*x[39]-4*x[40]-x[41]+x[42]-x[43]+x[44]+8*x[45]-4*x[46]+2*x[48]+7*x[49]-4*x[50]-7*x[51]+11*x[52]+8*x[53]-3*x[54]-4*x[55]+6*x[56]+x[57]-3*x[58]+3*x[59]+3*x[60]-x[61]+x[62]+3*x[63]+x[64]-x[65]+x[66]+6*x[67]-4*x[68]-x[69]+x[70]+3*x[71]+4*x[73]+3*x[74]-3*x[75]+2*x[76]+x[83]+x[84]-x[86]+x[87])*q^22 + (x[15]-x[16]+x[18]-x[19]-x[20]+3*x[21]+5*x[24]-3*x[25]-3*x[26]-x[27]-x[28]+10*x[29]-5*x[30]-x[31]-x[32]+x[36]-2*x[38]-3*x[39]+5*x[40]+6*x[41]+4*x[43]-4*x[45]+5*x[46]+4*x[47]-x[48]-3*x[49]+4*x[50]+15*x[51]-9*x[52]-4*x[53]+6*x[54]+10*x[55]-5*x[56]+7*x[58]-3*x[59]-3*x[60]+3*x[61]+6*x[65]-2*x[66]-4*x[67]+4*x[68]+7*x[69]-2*x[71]+x[72]-2*x[73]-4*x[74]+7*x[75]-x[76]-x[78]+x[79]-x[80]+2*x[85]+x[86]-x[87]+x[88])*q^21 + (2*x[19]+x[20]-2*x[21]+2*x[22]-3*x[24]+4*x[25]+4*x[26]+4*x[27]+2*x[28]-5*x[29]+7*x[30]+3*x[31]+3*x[32]+x[35]+4*x[38]+2*x[39]-4*x[40]-x[41]+2*x[42]+x[44]+10*x[45]-4*x[46]-x[47]+3*x[48]+6*x[49]-3*x[50]-9*x[51]+14*x[52]+12*x[53]-4*x[54]-7*x[55]+9*x[56]+3*x[57]-5*x[58]+7*x[59]+7*x[60]-3*x[61]+x[62]+3*x[63]+2*x[64]-x[65]+x[66]+8*x[67]-5*x[68]-2*x[69]+2*x[70]+6*x[71]+9*x[73]+4*x[74]-6*x[75]+4*x[76]+3*x[78]-x[79]+2*x[80]+2*x[83]+2*x[84]-x[85]-x[86]+2*x[87]+x[90]-x[91])*q^20 + (x[18]-x[20]+2*x[21]-x[22]+3*x[24]-2*x[25]-2*x[26]-x[27]-x[28]+10*x[29]-4*x[30]-2*x[31]-2*x[32]-x[38]-2*x[39]+4*x[40]+5*x[41]+4*x[43]-4*x[45]+5*x[46]+5*x[47]-2*x[48]-2*x[49]+4*x[50]+16*x[51]-10*x[52]-4*x[53]+7*x[54]+15*x[55]-6*x[56]-2*x[57]+10*x[58]-5*x[59]-5*x[60]+7*x[61]+5*x[65]-2*x[66]-4*x[67]+6*x[68]+10*x[69]-4*x[71]+3*x[72]-4*x[73]-5*x[74]+12*x[75]-2*x[76]-3*x[78]+4*x[79]-2*x[80]+5*x[85]+x[86]-2*x[87]+2*x[88]-x[90]+x[91])*q^19 + 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(x[22]+x[25]+x[26]+x[27]+x[28]-2*x[29]+3*x[30]+3*x[31]+3*x[32]+x[38]-x[40]+x[42]+x[44]+6*x[45]-2*x[46]-x[47]+4*x[48]+2*x[49]-x[50]-5*x[51]+10*x[52]+11*x[53]-2*x[54]-7*x[55]+11*x[56]+6*x[57]-5*x[58]+11*x[59]+11*x[60]-5*x[61]+2*x[63]+2*x[64]+x[66]+7*x[67]-4*x[68]-2*x[69]+3*x[70]+9*x[71]-x[72]+12*x[73]+6*x[74]-9*x[75]+10*x[76]+x[77]+6*x[78]-5*x[79]+8*x[80]+x[81]+x[82]+2*x[83]+4*x[84]-2*x[85]-2*x[86]+6*x[87]-x[88]+x[89]+6*x[90]-3*x[91]-x[92]+x[93]+x[94]+x[96])*q^16 + (4*x[29]-x[30]-x[31]-x[32]+x[40]+x[41]+2*x[43]-x[45]+2*x[46]+4*x[47]-x[48]+x[50]+8*x[51]-4*x[52]-2*x[53]+5*x[54]+13*x[55]-4*x[56]-2*x[57]+10*x[58]-5*x[59]-5*x[60]+11*x[61]+2*x[65]-x[66]-2*x[67]+4*x[68]+9*x[69]-4*x[71]+6*x[72]-3*x[73]-4*x[74]+17*x[75]-4*x[76]-3*x[78]+10*x[79]-5*x[80]-x[81]-x[82]+7*x[85]+2*x[86]-4*x[87]+6*x[88]-3*x[90]+5*x[91]+2*x[92]+2*x[95]-x[96])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]-x[46]+3*x[48]+x[49]-2*x[51]+5*x[52]+7*x[53]-x[54]-4*x[55]+8*x[56]+4*x[57]-3*x[58]+9*x[59]+9*x[60]-4*x[61]+x[63]+x[64]+5*x[67]-2*x[68]-x[69]+3*x[70]+7*x[71]-x[72]+8*x[73]+6*x[74]-7*x[75]+12*x[76]+x[77]+5*x[78]-5*x[79]+11*x[80]+x[81]+x[82]+x[83]+4*x[84]-x[85]-2*x[86]+7*x[87]-2*x[88]+2*x[89]+8*x[90]-4*x[91]-x[92]+2*x[93]+x[94]-x[95]+x[96]+x[97])*q^14 + (x[29]+x[43]+x[46]+2*x[47]-x[48]+4*x[51]-x[52]+3*x[54]+8*x[55]-2*x[56]-x[57]+6*x[58]-3*x[59]-3*x[60]+9*x[61]+x[65]-x[67]+2*x[68]+6*x[69]-2*x[71]+5*x[72]-2*x[73]-2*x[74]+13*x[75]-3*x[76]-2*x[78]+12*x[79]-5*x[80]-x[81]-x[82]+6*x[85]+2*x[86]-3*x[87]+7*x[88]-3*x[90]+6*x[91]+3*x[92]+3*x[95]-x[96]-x[97])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]-x[55]+4*x[56]+4*x[57]-x[58]+6*x[59]+6*x[60]-2*x[61]+x[64]+2*x[67]-x[68]+2*x[70]+5*x[71]-x[72]+6*x[73]+3*x[74]-4*x[75]+8*x[76]+x[77]+5*x[78]-4*x[79]+9*x[80]+3*x[81]+3*x[82]+x[83]+3*x[84]-x[85]-x[86]+6*x[87]-x[88]+2*x[89]+9*x[90]-3*x[91]-2*x[92]+2*x[93]+2*x[94]-x[95]+2*x[96]+x[97])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]-x[59]-x[60]+6*x[61]+x[68]+3*x[69]-x[71]+3*x[72]-x[74]+8*x[75]-x[76]-x[78]+9*x[79]-3*x[80]-x[81]-x[82]+4*x[85]+x[86]-2*x[87]+6*x[88]-3*x[90]+6*x[91]+4*x[92]+5*x[95]-x[96]-x[97])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]-x[75]+6*x[76]+2*x[78]-2*x[79]+7*x[80]+2*x[81]+2*x[82]+2*x[84]-x[86]+4*x[87]-x[88]+2*x[89]+7*x[90]-2*x[91]-2*x[92]+2*x[93]+2*x[94]-x[95]+2*x[96]+3*x[97]+x[98])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]-x[80]-x[81]-x[82]+2*x[85]+x[86]-x[87]+4*x[88]-x[90]+4*x[91]+4*x[92]+4*x[95]-x[96]-x[97]+x[99])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]-x[91]-x[92]+x[93]+2*x[94]-x[95]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]-x[96]-x[97]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98]-x[99])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #12 : [3, 3, 2, 2, 1, 1, 1, 1, 1, 1] dim = 64 A(O) = Z2 , |A(O)_0| = 2 g_s = V[4]+4*V[3]+16*V[2]+16*V[1]+19*V[0] Z_G(x)_0 = O6+Sp2+O2 # Green Polys by orbit reps #12.1 : x[13] : [3, 3, 2, 2, 1, 1, 1, 1, 1, 1],[1] : [[1, 1], [2, 1, 1, 1, 1]] Qxi[D8,12,1] = (x[13])*q^24 + (x[15]+x[17]+x[24]+x[36])*q^23 + (x[16]+2*x[19]+x[23]+x[25]+x[26]+x[27]+x[30]+x[34]+2*x[38]+x[49])*q^22 + (x[15]+x[18]+2*x[21]+3*x[24]+3*x[29]+x[36]+2*x[40]+3*x[41]+x[50]+2*x[51]+x[65])*q^21 + (2*x[19]+x[20]+2*x[22]+3*x[25]+3*x[26]+3*x[27]+x[28]+3*x[30]+x[31]+x[32]+x[35]+3*x[38]+x[39]+x[42]+4*x[45]+3*x[49]+4*x[52]+2*x[53]+x[56]+x[62]+x[63]+x[67]+x[73])*q^20 + (x[18]+2*x[21]+3*x[24]+7*x[29]+3*x[40]+4*x[41]+3*x[43]+3*x[46]+2*x[47]+2*x[50]+8*x[51]+3*x[54]+4*x[55]+2*x[58]+3*x[65]+x[68]+2*x[69]+x[75])*q^19 + (x[19]+x[22]+2*x[25]+2*x[26]+2*x[27]+3*x[28]+6*x[30]+2*x[31]+2*x[32]+x[35]+2*x[38]+x[39]+x[42]+x[44]+7*x[45]+2*x[48]+4*x[49]+8*x[52]+8*x[53]+6*x[56]+x[57]+3*x[59]+3*x[60]+2*x[63]+x[64]+5*x[67]+x[70]+2*x[71]+3*x[73]+2*x[74]+x[76]+x[83])*q^18 + (x[21]+x[24]+7*x[29]+2*x[40]+3*x[41]+3*x[43]+3*x[46]+4*x[47]+2*x[50]+11*x[51]+5*x[54]+11*x[55]+6*x[58]+4*x[61]+3*x[65]+3*x[68]+7*x[69]+x[72]+6*x[75]+x[79]+2*x[85])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+3*x[30]+3*x[31]+3*x[32]+x[38]+x[42]+x[44]+6*x[45]+3*x[48]+2*x[49]+9*x[52]+10*x[53]+9*x[56]+4*x[57]+7*x[59]+7*x[60]+2*x[63]+2*x[64]+x[66]+5*x[67]+2*x[70]+6*x[71]+8*x[73]+3*x[74]+5*x[76]+3*x[78]+2*x[80]+x[83]+2*x[84]+2*x[87]+x[90])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+2*x[46]+4*x[47]+x[50]+8*x[51]+5*x[54]+12*x[55]+8*x[58]+8*x[61]+2*x[65]+3*x[68]+8*x[69]+4*x[72]+12*x[75]+5*x[79]+4*x[85]+x[86]+3*x[88]+x[91])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+3*x[48]+x[49]+5*x[52]+7*x[53]+8*x[56]+4*x[57]+8*x[59]+8*x[60]+x[63]+x[64]+5*x[67]+3*x[70]+6*x[71]+7*x[73]+5*x[74]+10*x[76]+x[77]+4*x[78]+7*x[80]+x[83]+3*x[84]+4*x[87]+x[89]+4*x[90]+x[93])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+8*x[55]+6*x[58]+9*x[61]+x[65]+2*x[68]+6*x[69]+5*x[72]+12*x[75]+9*x[79]+5*x[85]+x[86]+5*x[88]+4*x[91]+x[92]+x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+6*x[59]+6*x[60]+x[64]+2*x[67]+2*x[70]+5*x[71]+6*x[73]+3*x[74]+8*x[76]+x[77]+5*x[78]+8*x[80]+2*x[81]+2*x[82]+x[83]+3*x[84]+5*x[87]+2*x[89]+7*x[90]+x[93]+x[94]+x[96])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+8*x[75]+9*x[79]+4*x[85]+x[86]+6*x[88]+5*x[91]+3*x[92]+3*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+7*x[80]+2*x[81]+2*x[82]+2*x[84]+4*x[87]+2*x[89]+7*x[90]+2*x[93]+2*x[94]+x[96]+2*x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+4*x[91]+4*x[92]+4*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #12.2 : x[14] : [3, 3, 2, 2, 1, 1, 1, 1, 1, 1],[-1] : [[2, 1], [1, 1, 1, 1, 1]] Qxi[D8,12,2] = (x[14])*q^24 + (x[16]+x[20]+x[23]+x[39])*q^23 + (x[15]+x[21]+2*x[24]+x[37]+x[40]+x[46]+x[50])*q^22 + (x[16]+x[19]+x[20]+2*x[25]+2*x[26]+x[27]+x[30]+x[38]+2*x[39]+x[45]+x[49]+2*x[52]+x[66])*q^21 + (2*x[21]+3*x[24]+3*x[29]+3*x[40]+x[41]+2*x[46]+2*x[50]+3*x[51]+x[54]+x[55]+x[58]+2*x[68])*q^20 + (x[20]+x[22]+2*x[25]+2*x[26]+x[27]+x[28]+4*x[30]+x[31]+x[32]+x[38]+2*x[39]+3*x[45]+x[48]+2*x[49]+6*x[52]+2*x[53]+2*x[56]+x[59]+x[60]+x[66]+2*x[67]+x[71]+2*x[74])*q^19 + (x[21]+x[24]+4*x[29]+2*x[40]+x[43]+4*x[46]+x[47]+2*x[50]+7*x[51]+3*x[54]+5*x[55]+3*x[58]+x[61]+x[65]+3*x[68]+x[69]+3*x[75]+x[86])*q^18 + (x[25]+x[26]+3*x[30]+x[31]+x[32]+x[39]+3*x[45]+2*x[48]+x[49]+7*x[52]+4*x[53]+5*x[56]+x[57]+4*x[59]+4*x[60]+x[66]+3*x[67]+3*x[71]+3*x[73]+3*x[74]+x[76]+2*x[78]+x[80]+x[87])*q^17 + (2*x[29]+x[40]+2*x[46]+x[47]+x[50]+5*x[51]+2*x[54]+7*x[55]+5*x[58]+4*x[61]+4*x[68]+2*x[69]+x[72]+7*x[75]+2*x[79]+x[85]+x[86]+x[91])*q^16 + (x[30]+x[31]+x[32]+x[45]+x[48]+4*x[52]+2*x[53]+4*x[56]+2*x[57]+5*x[59]+5*x[60]+x[66]+2*x[67]+4*x[71]+3*x[73]+4*x[74]+4*x[76]+2*x[78]+4*x[80]+3*x[87]+x[90])*q^15 + (x[46]+2*x[51]+x[54]+4*x[55]+3*x[58]+4*x[61]+2*x[68]+x[69]+x[72]+7*x[75]+5*x[79]+x[85]+2*x[86]+2*x[88]+3*x[91])*q^14 + (x[48]+x[52]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+2*x[71]+2*x[73]+2*x[74]+3*x[76]+2*x[78]+5*x[80]+x[81]+x[82]+3*x[87]+3*x[90]+x[96])*q^13 + (x[55]+x[58]+2*x[61]+x[68]+x[72]+4*x[75]+4*x[79]+x[85]+x[86]+x[88]+3*x[91]+2*x[92]+x[95])*q^12 + (x[59]+x[60]+x[71]+x[74]+x[76]+x[78]+3*x[80]+x[81]+x[82]+2*x[87]+3*x[90]+x[96]+x[97])*q^11 + (x[75]+2*x[79]+x[86]+x[88]+2*x[91]+2*x[92]+x[95])*q^10 + (x[80]+x[81]+x[82]+x[87]+x[90]+x[96]+x[97])*q^9 + (x[91]+x[92]+x[95])*q^8 + (x[96]+x[97])*q^7 + (x[99])*q^6 # Green Polys by conj class in A(O) #12.1 : c = () |O_x_c^F| = 1/2*q^12*(q+1)*(q^2+1)^2*(q^3+1)*(q^4+1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,12,1] = (x[13]+x[14])*q^24 + (x[15]+x[16]+x[17]+x[20]+x[23]+x[24]+x[36]+x[39])*q^23 + (x[15]+x[16]+2*x[19]+x[21]+x[23]+2*x[24]+x[25]+x[26]+x[27]+x[30]+x[34]+x[37]+2*x[38]+x[40]+x[46]+x[49]+x[50])*q^22 + (x[15]+x[16]+x[18]+x[19]+x[20]+2*x[21]+3*x[24]+2*x[25]+2*x[26]+x[27]+3*x[29]+x[30]+x[36]+x[38]+2*x[39]+2*x[40]+3*x[41]+x[45]+x[49]+x[50]+2*x[51]+2*x[52]+x[65]+x[66])*q^21 + (2*x[19]+x[20]+2*x[21]+2*x[22]+3*x[24]+3*x[25]+3*x[26]+3*x[27]+x[28]+3*x[29]+3*x[30]+x[31]+x[32]+x[35]+3*x[38]+x[39]+3*x[40]+x[41]+x[42]+4*x[45]+2*x[46]+3*x[49]+2*x[50]+3*x[51]+4*x[52]+2*x[53]+x[54]+x[55]+x[56]+x[58]+x[62]+x[63]+x[67]+2*x[68]+x[73])*q^20 + (x[18]+x[20]+2*x[21]+x[22]+3*x[24]+2*x[25]+2*x[26]+x[27]+x[28]+7*x[29]+4*x[30]+x[31]+x[32]+x[38]+2*x[39]+3*x[40]+4*x[41]+3*x[43]+3*x[45]+3*x[46]+2*x[47]+x[48]+2*x[49]+2*x[50]+8*x[51]+6*x[52]+2*x[53]+3*x[54]+4*x[55]+2*x[56]+2*x[58]+x[59]+x[60]+3*x[65]+x[66]+2*x[67]+x[68]+2*x[69]+x[71]+2*x[74]+x[75])*q^19 + (x[19]+x[21]+x[22]+x[24]+2*x[25]+2*x[26]+2*x[27]+3*x[28]+4*x[29]+6*x[30]+2*x[31]+2*x[32]+x[35]+2*x[38]+x[39]+2*x[40]+x[42]+x[43]+x[44]+7*x[45]+4*x[46]+x[47]+2*x[48]+4*x[49]+2*x[50]+7*x[51]+8*x[52]+8*x[53]+3*x[54]+5*x[55]+6*x[56]+x[57]+3*x[58]+3*x[59]+3*x[60]+x[61]+2*x[63]+x[64]+x[65]+5*x[67]+3*x[68]+x[69]+x[70]+2*x[71]+3*x[73]+2*x[74]+3*x[75]+x[76]+x[83]+x[86])*q^18 + (x[21]+x[24]+x[25]+x[26]+7*x[29]+3*x[30]+x[31]+x[32]+x[39]+2*x[40]+3*x[41]+3*x[43]+3*x[45]+3*x[46]+4*x[47]+2*x[48]+x[49]+2*x[50]+11*x[51]+7*x[52]+4*x[53]+5*x[54]+11*x[55]+5*x[56]+x[57]+6*x[58]+4*x[59]+4*x[60]+4*x[61]+3*x[65]+x[66]+3*x[67]+3*x[68]+7*x[69]+3*x[71]+x[72]+3*x[73]+3*x[74]+6*x[75]+x[76]+2*x[78]+x[79]+x[80]+2*x[85]+x[87])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+2*x[29]+3*x[30]+3*x[31]+3*x[32]+x[38]+x[40]+x[42]+x[44]+6*x[45]+2*x[46]+x[47]+3*x[48]+2*x[49]+x[50]+5*x[51]+9*x[52]+10*x[53]+2*x[54]+7*x[55]+9*x[56]+4*x[57]+5*x[58]+7*x[59]+7*x[60]+4*x[61]+2*x[63]+2*x[64]+x[66]+5*x[67]+4*x[68]+2*x[69]+2*x[70]+6*x[71]+x[72]+8*x[73]+3*x[74]+7*x[75]+5*x[76]+3*x[78]+2*x[79]+2*x[80]+x[83]+2*x[84]+x[85]+x[86]+2*x[87]+x[90]+x[91])*q^16 + (4*x[29]+x[30]+x[31]+x[32]+x[40]+x[41]+2*x[43]+x[45]+2*x[46]+4*x[47]+x[48]+x[50]+8*x[51]+4*x[52]+2*x[53]+5*x[54]+12*x[55]+4*x[56]+2*x[57]+8*x[58]+5*x[59]+5*x[60]+8*x[61]+2*x[65]+x[66]+2*x[67]+3*x[68]+8*x[69]+4*x[71]+4*x[72]+3*x[73]+4*x[74]+12*x[75]+4*x[76]+2*x[78]+5*x[79]+4*x[80]+4*x[85]+x[86]+3*x[87]+3*x[88]+x[90]+x[91])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+x[46]+3*x[48]+x[49]+2*x[51]+5*x[52]+7*x[53]+x[54]+4*x[55]+8*x[56]+4*x[57]+3*x[58]+8*x[59]+8*x[60]+4*x[61]+x[63]+x[64]+5*x[67]+2*x[68]+x[69]+3*x[70]+6*x[71]+x[72]+7*x[73]+5*x[74]+7*x[75]+10*x[76]+x[77]+4*x[78]+5*x[79]+7*x[80]+x[83]+3*x[84]+x[85]+2*x[86]+4*x[87]+2*x[88]+x[89]+4*x[90]+3*x[91]+x[93])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+x[48]+4*x[51]+x[52]+3*x[54]+8*x[55]+2*x[56]+x[57]+6*x[58]+3*x[59]+3*x[60]+9*x[61]+x[65]+x[67]+2*x[68]+6*x[69]+2*x[71]+5*x[72]+2*x[73]+2*x[74]+12*x[75]+3*x[76]+2*x[78]+9*x[79]+5*x[80]+x[81]+x[82]+5*x[85]+x[86]+3*x[87]+5*x[88]+3*x[90]+4*x[91]+x[92]+x[95]+x[96])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+x[55]+4*x[56]+4*x[57]+x[58]+6*x[59]+6*x[60]+2*x[61]+x[64]+2*x[67]+x[68]+2*x[70]+5*x[71]+x[72]+6*x[73]+3*x[74]+4*x[75]+8*x[76]+x[77]+5*x[78]+4*x[79]+8*x[80]+2*x[81]+2*x[82]+x[83]+3*x[84]+x[85]+x[86]+5*x[87]+x[88]+2*x[89]+7*x[90]+3*x[91]+2*x[92]+x[93]+x[94]+x[95]+x[96])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+x[59]+x[60]+6*x[61]+x[68]+3*x[69]+x[71]+3*x[72]+x[74]+8*x[75]+x[76]+x[78]+9*x[79]+3*x[80]+x[81]+x[82]+4*x[85]+x[86]+2*x[87]+6*x[88]+3*x[90]+5*x[91]+3*x[92]+3*x[95]+x[96]+x[97])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+x[75]+6*x[76]+2*x[78]+2*x[79]+7*x[80]+2*x[81]+2*x[82]+2*x[84]+x[86]+4*x[87]+x[88]+2*x[89]+7*x[90]+2*x[91]+2*x[92]+2*x[93]+2*x[94]+x[95]+x[96]+2*x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+x[80]+x[81]+x[82]+2*x[85]+x[86]+x[87]+4*x[88]+x[90]+4*x[91]+4*x[92]+4*x[95]+x[96]+x[97])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[91]+x[92]+x[93]+2*x[94]+x[95]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+x[96]+x[97]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98]+x[99])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #12.2 : c = (1) |O_x_c^F| = 1/2*q^12*(q-1)*(q^2+1)^2*(q^3-1)*(q^4+1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,12,2] = (x[13]-x[14])*q^24 + (x[15]-x[16]+x[17]-x[20]-x[23]+x[24]+x[36]-x[39])*q^23 + (-x[15]+x[16]+2*x[19]-x[21]+x[23]-2*x[24]+x[25]+x[26]+x[27]+x[30]+x[34]-x[37]+2*x[38]-x[40]-x[46]+x[49]-x[50])*q^22 + (x[15]-x[16]+x[18]-x[19]-x[20]+2*x[21]+3*x[24]-2*x[25]-2*x[26]-x[27]+3*x[29]-x[30]+x[36]-x[38]-2*x[39]+2*x[40]+3*x[41]-x[45]-x[49]+x[50]+2*x[51]-2*x[52]+x[65]-x[66])*q^21 + (2*x[19]+x[20]-2*x[21]+2*x[22]-3*x[24]+3*x[25]+3*x[26]+3*x[27]+x[28]-3*x[29]+3*x[30]+x[31]+x[32]+x[35]+3*x[38]+x[39]-3*x[40]-x[41]+x[42]+4*x[45]-2*x[46]+3*x[49]-2*x[50]-3*x[51]+4*x[52]+2*x[53]-x[54]-x[55]+x[56]-x[58]+x[62]+x[63]+x[67]-2*x[68]+x[73])*q^20 + (x[18]-x[20]+2*x[21]-x[22]+3*x[24]-2*x[25]-2*x[26]-x[27]-x[28]+7*x[29]-4*x[30]-x[31]-x[32]-x[38]-2*x[39]+3*x[40]+4*x[41]+3*x[43]-3*x[45]+3*x[46]+2*x[47]-x[48]-2*x[49]+2*x[50]+8*x[51]-6*x[52]-2*x[53]+3*x[54]+4*x[55]-2*x[56]+2*x[58]-x[59]-x[60]+3*x[65]-x[66]-2*x[67]+x[68]+2*x[69]-x[71]-2*x[74]+x[75])*q^19 + (x[19]-x[21]+x[22]-x[24]+2*x[25]+2*x[26]+2*x[27]+3*x[28]-4*x[29]+6*x[30]+2*x[31]+2*x[32]+x[35]+2*x[38]+x[39]-2*x[40]+x[42]-x[43]+x[44]+7*x[45]-4*x[46]-x[47]+2*x[48]+4*x[49]-2*x[50]-7*x[51]+8*x[52]+8*x[53]-3*x[54]-5*x[55]+6*x[56]+x[57]-3*x[58]+3*x[59]+3*x[60]-x[61]+2*x[63]+x[64]-x[65]+5*x[67]-3*x[68]-x[69]+x[70]+2*x[71]+3*x[73]+2*x[74]-3*x[75]+x[76]+x[83]-x[86])*q^18 + (x[21]+x[24]-x[25]-x[26]+7*x[29]-3*x[30]-x[31]-x[32]-x[39]+2*x[40]+3*x[41]+3*x[43]-3*x[45]+3*x[46]+4*x[47]-2*x[48]-x[49]+2*x[50]+11*x[51]-7*x[52]-4*x[53]+5*x[54]+11*x[55]-5*x[56]-x[57]+6*x[58]-4*x[59]-4*x[60]+4*x[61]+3*x[65]-x[66]-3*x[67]+3*x[68]+7*x[69]-3*x[71]+x[72]-3*x[73]-3*x[74]+6*x[75]-x[76]-2*x[78]+x[79]-x[80]+2*x[85]-x[87])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]-2*x[29]+3*x[30]+3*x[31]+3*x[32]+x[38]-x[40]+x[42]+x[44]+6*x[45]-2*x[46]-x[47]+3*x[48]+2*x[49]-x[50]-5*x[51]+9*x[52]+10*x[53]-2*x[54]-7*x[55]+9*x[56]+4*x[57]-5*x[58]+7*x[59]+7*x[60]-4*x[61]+2*x[63]+2*x[64]+x[66]+5*x[67]-4*x[68]-2*x[69]+2*x[70]+6*x[71]-x[72]+8*x[73]+3*x[74]-7*x[75]+5*x[76]+3*x[78]-2*x[79]+2*x[80]+x[83]+2*x[84]-x[85]-x[86]+2*x[87]+x[90]-x[91])*q^16 + (4*x[29]-x[30]-x[31]-x[32]+x[40]+x[41]+2*x[43]-x[45]+2*x[46]+4*x[47]-x[48]+x[50]+8*x[51]-4*x[52]-2*x[53]+5*x[54]+12*x[55]-4*x[56]-2*x[57]+8*x[58]-5*x[59]-5*x[60]+8*x[61]+2*x[65]-x[66]-2*x[67]+3*x[68]+8*x[69]-4*x[71]+4*x[72]-3*x[73]-4*x[74]+12*x[75]-4*x[76]-2*x[78]+5*x[79]-4*x[80]+4*x[85]+x[86]-3*x[87]+3*x[88]-x[90]+x[91])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]-x[46]+3*x[48]+x[49]-2*x[51]+5*x[52]+7*x[53]-x[54]-4*x[55]+8*x[56]+4*x[57]-3*x[58]+8*x[59]+8*x[60]-4*x[61]+x[63]+x[64]+5*x[67]-2*x[68]-x[69]+3*x[70]+6*x[71]-x[72]+7*x[73]+5*x[74]-7*x[75]+10*x[76]+x[77]+4*x[78]-5*x[79]+7*x[80]+x[83]+3*x[84]-x[85]-2*x[86]+4*x[87]-2*x[88]+x[89]+4*x[90]-3*x[91]+x[93])*q^14 + (x[29]+x[43]+x[46]+2*x[47]-x[48]+4*x[51]-x[52]+3*x[54]+8*x[55]-2*x[56]-x[57]+6*x[58]-3*x[59]-3*x[60]+9*x[61]+x[65]-x[67]+2*x[68]+6*x[69]-2*x[71]+5*x[72]-2*x[73]-2*x[74]+12*x[75]-3*x[76]-2*x[78]+9*x[79]-5*x[80]-x[81]-x[82]+5*x[85]+x[86]-3*x[87]+5*x[88]-3*x[90]+4*x[91]+x[92]+x[95]-x[96])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]-x[55]+4*x[56]+4*x[57]-x[58]+6*x[59]+6*x[60]-2*x[61]+x[64]+2*x[67]-x[68]+2*x[70]+5*x[71]-x[72]+6*x[73]+3*x[74]-4*x[75]+8*x[76]+x[77]+5*x[78]-4*x[79]+8*x[80]+2*x[81]+2*x[82]+x[83]+3*x[84]-x[85]-x[86]+5*x[87]-x[88]+2*x[89]+7*x[90]-3*x[91]-2*x[92]+x[93]+x[94]-x[95]+x[96])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]-x[59]-x[60]+6*x[61]+x[68]+3*x[69]-x[71]+3*x[72]-x[74]+8*x[75]-x[76]-x[78]+9*x[79]-3*x[80]-x[81]-x[82]+4*x[85]+x[86]-2*x[87]+6*x[88]-3*x[90]+5*x[91]+3*x[92]+3*x[95]-x[96]-x[97])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]-x[75]+6*x[76]+2*x[78]-2*x[79]+7*x[80]+2*x[81]+2*x[82]+2*x[84]-x[86]+4*x[87]-x[88]+2*x[89]+7*x[90]-2*x[91]-2*x[92]+2*x[93]+2*x[94]-x[95]+x[96]+2*x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]-x[80]-x[81]-x[82]+2*x[85]+x[86]-x[87]+4*x[88]-x[90]+4*x[91]+4*x[92]+4*x[95]-x[96]-x[97])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]-x[91]-x[92]+x[93]+2*x[94]-x[95]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]-x[96]-x[97]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98]-x[99])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #13 : [3, 3, 2, 2, 2, 2, 1, 1] dim = 70 A(O) = Z2 , |A(O)_0| = 2 g_s = V[4]+8*V[3]+13*V[2]+16*V[1]+12*V[0] Z_G(x)_0 = Sp4+2*O2 # Green Polys by orbit reps #13.1 : x[15] : [3, 3, 2, 2, 2, 2, 1, 1],[1] : [[1, 1, 1], [2, 1, 1, 1]] Qxi[D8,13,1] = (x[15])*q^21 + (x[19]+x[25]+x[26]+x[38])*q^20 + (x[18]+x[21]+x[24]+2*x[29]+x[40]+x[41]+x[51])*q^19 + (x[19]+x[22]+x[25]+x[26]+x[27]+2*x[28]+2*x[30]+x[31]+x[32]+x[35]+x[38]+2*x[45]+x[49]+2*x[52]+x[53]+x[56]+x[67])*q^18 + (x[21]+x[24]+4*x[29]+x[40]+2*x[41]+2*x[43]+x[46]+x[47]+4*x[51]+2*x[54]+3*x[55]+x[58]+x[65]+x[69]+x[75])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+2*x[30]+2*x[31]+2*x[32]+x[38]+x[42]+x[44]+4*x[45]+x[48]+x[49]+4*x[52]+5*x[53]+4*x[56]+x[57]+2*x[59]+2*x[60]+x[63]+x[64]+2*x[67]+x[71]+2*x[73]+x[76]+x[78])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+x[46]+3*x[47]+x[50]+5*x[51]+3*x[54]+7*x[55]+3*x[58]+3*x[61]+x[65]+x[68]+4*x[69]+x[72]+4*x[75]+x[79]+x[85])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+2*x[48]+x[49]+4*x[52]+6*x[53]+6*x[56]+2*x[57]+4*x[59]+4*x[60]+x[63]+x[64]+3*x[67]+2*x[70]+3*x[71]+3*x[73]+2*x[74]+5*x[76]+2*x[78]+2*x[80]+x[84]+x[87]+x[90])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+7*x[55]+4*x[58]+6*x[61]+x[65]+x[68]+5*x[69]+3*x[72]+7*x[75]+4*x[79]+2*x[85]+2*x[88]+x[91])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+5*x[59]+5*x[60]+x[64]+2*x[67]+2*x[70]+4*x[71]+5*x[73]+2*x[74]+6*x[76]+x[77]+4*x[78]+4*x[80]+x[81]+x[82]+x[83]+2*x[84]+2*x[87]+x[89]+3*x[90])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+7*x[75]+6*x[79]+3*x[85]+4*x[88]+3*x[91]+x[92]+x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+6*x[80]+x[81]+x[82]+2*x[84]+3*x[87]+2*x[89]+5*x[90]+x[93]+x[94]+x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+3*x[91]+3*x[92]+2*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #13.2 : x[16] : [3, 3, 2, 2, 2, 2, 1, 1],[-1] : [[2, 1, 1], [1, 1, 1, 1]] Qxi[D8,13,2] = (x[16])*q^21 + (x[21]+x[24]+x[40])*q^20 + (x[20]+x[22]+x[25]+x[26]+x[27]+x[30]+x[39]+x[45]+x[52])*q^19 + (x[21]+x[24]+2*x[29]+x[40]+x[43]+2*x[46]+x[50]+2*x[51]+x[54]+x[55]+x[68])*q^18 + (x[25]+x[26]+3*x[30]+x[39]+2*x[45]+x[48]+x[49]+3*x[52]+2*x[53]+2*x[56]+x[59]+x[60]+x[67]+x[71]+x[74])*q^17 + (2*x[29]+x[40]+2*x[46]+x[47]+x[50]+4*x[51]+x[54]+4*x[55]+2*x[58]+2*x[61]+2*x[68]+x[69]+2*x[75])*q^16 + (x[30]+x[31]+x[32]+x[45]+x[48]+4*x[52]+2*x[53]+3*x[56]+2*x[57]+3*x[59]+3*x[60]+x[66]+x[67]+3*x[71]+2*x[73]+2*x[74]+x[76]+x[78]+x[80]+x[87])*q^15 + (x[46]+2*x[51]+x[54]+4*x[55]+3*x[58]+3*x[61]+2*x[68]+x[69]+x[72]+5*x[75]+2*x[79]+x[86]+x[88]+x[91])*q^14 + (x[48]+x[52]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+2*x[71]+2*x[73]+2*x[74]+3*x[76]+x[78]+4*x[80]+2*x[87]+x[90])*q^13 + (x[55]+x[58]+2*x[61]+x[68]+x[72]+4*x[75]+4*x[79]+x[85]+x[86]+x[88]+2*x[91]+x[92])*q^12 + (x[59]+x[60]+x[71]+x[74]+x[76]+x[78]+3*x[80]+x[81]+x[82]+2*x[87]+3*x[90]+x[96])*q^11 + (x[75]+2*x[79]+x[86]+x[88]+2*x[91]+2*x[92]+x[95])*q^10 + (x[80]+x[81]+x[82]+x[87]+x[90]+x[96]+x[97])*q^9 + (x[91]+x[92]+x[95])*q^8 + (x[96]+x[97])*q^7 + (x[99])*q^6 # Green Polys by conj class in A(O) #13.1 : c = () |O_x_c^F| = 1/2*q^14*(q^2+q+1)*(q+1)*(q^2+1)*(q^3+1)*(q^4+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,13,1] = (x[15]+x[16])*q^21 + (x[19]+x[21]+x[24]+x[25]+x[26]+x[38]+x[40])*q^20 + (x[18]+x[20]+x[21]+x[22]+x[24]+x[25]+x[26]+x[27]+2*x[29]+x[30]+x[39]+x[40]+x[41]+x[45]+x[51]+x[52])*q^19 + (x[19]+x[21]+x[22]+x[24]+x[25]+x[26]+x[27]+2*x[28]+2*x[29]+2*x[30]+x[31]+x[32]+x[35]+x[38]+x[40]+x[43]+2*x[45]+2*x[46]+x[49]+x[50]+2*x[51]+2*x[52]+x[53]+x[54]+x[55]+x[56]+x[67]+x[68])*q^18 + (x[21]+x[24]+x[25]+x[26]+4*x[29]+3*x[30]+x[39]+x[40]+2*x[41]+2*x[43]+2*x[45]+x[46]+x[47]+x[48]+x[49]+4*x[51]+3*x[52]+2*x[53]+2*x[54]+3*x[55]+2*x[56]+x[58]+x[59]+x[60]+x[65]+x[67]+x[69]+x[71]+x[74]+x[75])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+2*x[29]+2*x[30]+2*x[31]+2*x[32]+x[38]+x[40]+x[42]+x[44]+4*x[45]+2*x[46]+x[47]+x[48]+x[49]+x[50]+4*x[51]+4*x[52]+5*x[53]+x[54]+4*x[55]+4*x[56]+x[57]+2*x[58]+2*x[59]+2*x[60]+2*x[61]+x[63]+x[64]+2*x[67]+2*x[68]+x[69]+x[71]+2*x[73]+2*x[75]+x[76]+x[78])*q^16 + (4*x[29]+x[30]+x[31]+x[32]+x[40]+x[41]+2*x[43]+x[45]+x[46]+3*x[47]+x[48]+x[50]+5*x[51]+4*x[52]+2*x[53]+3*x[54]+7*x[55]+3*x[56]+2*x[57]+3*x[58]+3*x[59]+3*x[60]+3*x[61]+x[65]+x[66]+x[67]+x[68]+4*x[69]+3*x[71]+x[72]+2*x[73]+2*x[74]+4*x[75]+x[76]+x[78]+x[79]+x[80]+x[85]+x[87])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+x[46]+2*x[48]+x[49]+2*x[51]+4*x[52]+6*x[53]+x[54]+4*x[55]+6*x[56]+2*x[57]+3*x[58]+4*x[59]+4*x[60]+3*x[61]+x[63]+x[64]+3*x[67]+2*x[68]+x[69]+2*x[70]+3*x[71]+x[72]+3*x[73]+2*x[74]+5*x[75]+5*x[76]+2*x[78]+2*x[79]+2*x[80]+x[84]+x[86]+x[87]+x[88]+x[90]+x[91])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+x[48]+4*x[51]+x[52]+3*x[54]+7*x[55]+2*x[56]+x[57]+4*x[58]+3*x[59]+3*x[60]+6*x[61]+x[65]+x[67]+x[68]+5*x[69]+2*x[71]+3*x[72]+2*x[73]+2*x[74]+7*x[75]+3*x[76]+x[78]+4*x[79]+4*x[80]+2*x[85]+2*x[87]+2*x[88]+x[90]+x[91])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+x[55]+4*x[56]+4*x[57]+x[58]+5*x[59]+5*x[60]+2*x[61]+x[64]+2*x[67]+x[68]+2*x[70]+4*x[71]+x[72]+5*x[73]+2*x[74]+4*x[75]+6*x[76]+x[77]+4*x[78]+4*x[79]+4*x[80]+x[81]+x[82]+x[83]+2*x[84]+x[85]+x[86]+2*x[87]+x[88]+x[89]+3*x[90]+2*x[91]+x[92])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+x[59]+x[60]+6*x[61]+x[68]+3*x[69]+x[71]+3*x[72]+x[74]+7*x[75]+x[76]+x[78]+6*x[79]+3*x[80]+x[81]+x[82]+3*x[85]+2*x[87]+4*x[88]+3*x[90]+3*x[91]+x[92]+x[95]+x[96])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+x[75]+6*x[76]+2*x[78]+2*x[79]+6*x[80]+x[81]+x[82]+2*x[84]+x[86]+3*x[87]+x[88]+2*x[89]+5*x[90]+2*x[91]+2*x[92]+x[93]+x[94]+x[95]+x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+x[80]+x[81]+x[82]+2*x[85]+x[86]+x[87]+4*x[88]+x[90]+3*x[91]+3*x[92]+2*x[95]+x[96]+x[97])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[91]+x[92]+x[93]+2*x[94]+x[95]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+x[96]+x[97])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98]+x[99])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #13.2 : c = (1) |O_x_c^F| = 1/2*q^14*(q^2-q+1)*(q-1)*(q^2+1)*(q^3-1)*(q^4+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,13,2] = (x[15]-x[16])*q^21 + (x[19]-x[21]-x[24]+x[25]+x[26]+x[38]-x[40])*q^20 + (x[18]-x[20]+x[21]-x[22]+x[24]-x[25]-x[26]-x[27]+2*x[29]-x[30]-x[39]+x[40]+x[41]-x[45]+x[51]-x[52])*q^19 + (x[19]-x[21]+x[22]-x[24]+x[25]+x[26]+x[27]+2*x[28]-2*x[29]+2*x[30]+x[31]+x[32]+x[35]+x[38]-x[40]-x[43]+2*x[45]-2*x[46]+x[49]-x[50]-2*x[51]+2*x[52]+x[53]-x[54]-x[55]+x[56]+x[67]-x[68])*q^18 + (x[21]+x[24]-x[25]-x[26]+4*x[29]-3*x[30]-x[39]+x[40]+2*x[41]+2*x[43]-2*x[45]+x[46]+x[47]-x[48]-x[49]+4*x[51]-3*x[52]-2*x[53]+2*x[54]+3*x[55]-2*x[56]+x[58]-x[59]-x[60]+x[65]-x[67]+x[69]-x[71]-x[74]+x[75])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]-2*x[29]+2*x[30]+2*x[31]+2*x[32]+x[38]-x[40]+x[42]+x[44]+4*x[45]-2*x[46]-x[47]+x[48]+x[49]-x[50]-4*x[51]+4*x[52]+5*x[53]-x[54]-4*x[55]+4*x[56]+x[57]-2*x[58]+2*x[59]+2*x[60]-2*x[61]+x[63]+x[64]+2*x[67]-2*x[68]-x[69]+x[71]+2*x[73]-2*x[75]+x[76]+x[78])*q^16 + (4*x[29]-x[30]-x[31]-x[32]+x[40]+x[41]+2*x[43]-x[45]+x[46]+3*x[47]-x[48]+x[50]+5*x[51]-4*x[52]-2*x[53]+3*x[54]+7*x[55]-3*x[56]-2*x[57]+3*x[58]-3*x[59]-3*x[60]+3*x[61]+x[65]-x[66]-x[67]+x[68]+4*x[69]-3*x[71]+x[72]-2*x[73]-2*x[74]+4*x[75]-x[76]-x[78]+x[79]-x[80]+x[85]-x[87])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]-x[46]+2*x[48]+x[49]-2*x[51]+4*x[52]+6*x[53]-x[54]-4*x[55]+6*x[56]+2*x[57]-3*x[58]+4*x[59]+4*x[60]-3*x[61]+x[63]+x[64]+3*x[67]-2*x[68]-x[69]+2*x[70]+3*x[71]-x[72]+3*x[73]+2*x[74]-5*x[75]+5*x[76]+2*x[78]-2*x[79]+2*x[80]+x[84]-x[86]+x[87]-x[88]+x[90]-x[91])*q^14 + (x[29]+x[43]+x[46]+2*x[47]-x[48]+4*x[51]-x[52]+3*x[54]+7*x[55]-2*x[56]-x[57]+4*x[58]-3*x[59]-3*x[60]+6*x[61]+x[65]-x[67]+x[68]+5*x[69]-2*x[71]+3*x[72]-2*x[73]-2*x[74]+7*x[75]-3*x[76]-x[78]+4*x[79]-4*x[80]+2*x[85]-2*x[87]+2*x[88]-x[90]+x[91])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]-x[55]+4*x[56]+4*x[57]-x[58]+5*x[59]+5*x[60]-2*x[61]+x[64]+2*x[67]-x[68]+2*x[70]+4*x[71]-x[72]+5*x[73]+2*x[74]-4*x[75]+6*x[76]+x[77]+4*x[78]-4*x[79]+4*x[80]+x[81]+x[82]+x[83]+2*x[84]-x[85]-x[86]+2*x[87]-x[88]+x[89]+3*x[90]-2*x[91]-x[92])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]-x[59]-x[60]+6*x[61]+x[68]+3*x[69]-x[71]+3*x[72]-x[74]+7*x[75]-x[76]-x[78]+6*x[79]-3*x[80]-x[81]-x[82]+3*x[85]-2*x[87]+4*x[88]-3*x[90]+3*x[91]+x[92]+x[95]-x[96])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]-x[75]+6*x[76]+2*x[78]-2*x[79]+6*x[80]+x[81]+x[82]+2*x[84]-x[86]+3*x[87]-x[88]+2*x[89]+5*x[90]-2*x[91]-2*x[92]+x[93]+x[94]-x[95]+x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]-x[80]-x[81]-x[82]+2*x[85]+x[86]-x[87]+4*x[88]-x[90]+3*x[91]+3*x[92]+2*x[95]-x[96]-x[97])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]-x[91]-x[92]+x[93]+2*x[94]-x[95]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]-x[96]-x[97])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98]-x[99])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #14 : [3, 3, 3, 1, 1, 1, 1, 1, 1, 1] dim = 66 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[4]+27*V[2]+24*V[0] Z_G(x)_0 = O7+O3 # Green Polys by orbit reps #14.1 : x[17] : [3, 3, 3, 1, 1, 1, 1, 1, 1, 1],[] : [[1], [2, 2, 1, 1, 1]] Qxi[D8,14,1] = (x[17])*q^23 + (x[19]+x[23]+x[27]+x[34])*q^22 + (x[18]+x[21]+x[24]+x[29]+x[36]+2*x[41]+x[50])*q^21 + (x[19]+x[20]+x[22]+x[25]+x[26]+2*x[27]+x[28]+x[30]+x[35]+x[38]+x[42]+2*x[45]+2*x[49]+x[52]+x[53]+x[62]+x[63])*q^20 + (x[18]+x[21]+2*x[24]+3*x[29]+x[40]+3*x[41]+2*x[43]+2*x[46]+2*x[47]+x[50]+3*x[51]+2*x[54]+x[55]+x[58]+2*x[65]+x[69])*q^19 + (x[19]+x[22]+x[25]+x[26]+2*x[27]+2*x[28]+3*x[30]+x[31]+x[32]+x[35]+x[38]+x[39]+x[42]+x[44]+4*x[45]+2*x[48]+3*x[49]+4*x[52]+5*x[53]+2*x[56]+x[57]+x[59]+x[60]+2*x[63]+x[64]+2*x[67]+x[70]+x[71]+x[73]+x[74]+x[83])*q^18 + (x[21]+x[24]+5*x[29]+x[40]+3*x[41]+3*x[43]+2*x[46]+3*x[47]+2*x[50]+6*x[51]+3*x[54]+6*x[55]+4*x[58]+2*x[61]+2*x[65]+2*x[68]+5*x[69]+x[72]+2*x[75]+x[85])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+3*x[30]+2*x[31]+2*x[32]+x[38]+x[42]+x[44]+5*x[45]+2*x[48]+2*x[49]+6*x[52]+8*x[53]+5*x[56]+2*x[57]+4*x[59]+4*x[60]+2*x[63]+2*x[64]+x[66]+3*x[67]+2*x[70]+4*x[71]+5*x[73]+2*x[74]+3*x[76]+x[78]+x[80]+x[83]+2*x[84]+x[87])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+2*x[46]+4*x[47]+x[50]+7*x[51]+4*x[54]+9*x[55]+6*x[58]+5*x[61]+2*x[65]+2*x[68]+7*x[69]+3*x[72]+7*x[75]+3*x[79]+3*x[85]+x[86]+2*x[88])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+3*x[48]+x[49]+5*x[52]+7*x[53]+7*x[56]+4*x[57]+6*x[59]+6*x[60]+x[63]+x[64]+4*x[67]+3*x[70]+5*x[71]+6*x[73]+4*x[74]+7*x[76]+x[77]+3*x[78]+4*x[80]+x[83]+3*x[84]+3*x[87]+x[89]+2*x[90]+x[93])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+8*x[55]+6*x[58]+8*x[61]+x[65]+2*x[68]+6*x[69]+5*x[72]+10*x[75]+6*x[79]+4*x[85]+x[86]+4*x[88]+3*x[91]+x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+6*x[59]+6*x[60]+x[64]+2*x[67]+2*x[70]+5*x[71]+6*x[73]+3*x[74]+8*x[76]+x[77]+4*x[78]+7*x[80]+x[81]+x[82]+x[83]+3*x[84]+4*x[87]+2*x[89]+5*x[90]+x[93]+x[94]+x[96])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+8*x[75]+9*x[79]+4*x[85]+x[86]+6*x[88]+4*x[91]+2*x[92]+2*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+7*x[80]+2*x[81]+2*x[82]+2*x[84]+4*x[87]+2*x[89]+7*x[90]+2*x[93]+2*x[94]+x[96]+x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+4*x[91]+4*x[92]+4*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #14.1 : c = () |O_x_c^F| = q^16*(q^2+1)*(q^4+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,14,1] = (x[17])*q^23 + (x[19]+x[23]+x[27]+x[34])*q^22 + (x[18]+x[21]+x[24]+x[29]+x[36]+2*x[41]+x[50])*q^21 + (x[19]+x[20]+x[22]+x[25]+x[26]+2*x[27]+x[28]+x[30]+x[35]+x[38]+x[42]+2*x[45]+2*x[49]+x[52]+x[53]+x[62]+x[63])*q^20 + (x[18]+x[21]+2*x[24]+3*x[29]+x[40]+3*x[41]+2*x[43]+2*x[46]+2*x[47]+x[50]+3*x[51]+2*x[54]+x[55]+x[58]+2*x[65]+x[69])*q^19 + (x[19]+x[22]+x[25]+x[26]+2*x[27]+2*x[28]+3*x[30]+x[31]+x[32]+x[35]+x[38]+x[39]+x[42]+x[44]+4*x[45]+2*x[48]+3*x[49]+4*x[52]+5*x[53]+2*x[56]+x[57]+x[59]+x[60]+2*x[63]+x[64]+2*x[67]+x[70]+x[71]+x[73]+x[74]+x[83])*q^18 + (x[21]+x[24]+5*x[29]+x[40]+3*x[41]+3*x[43]+2*x[46]+3*x[47]+2*x[50]+6*x[51]+3*x[54]+6*x[55]+4*x[58]+2*x[61]+2*x[65]+2*x[68]+5*x[69]+x[72]+2*x[75]+x[85])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+3*x[30]+2*x[31]+2*x[32]+x[38]+x[42]+x[44]+5*x[45]+2*x[48]+2*x[49]+6*x[52]+8*x[53]+5*x[56]+2*x[57]+4*x[59]+4*x[60]+2*x[63]+2*x[64]+x[66]+3*x[67]+2*x[70]+4*x[71]+5*x[73]+2*x[74]+3*x[76]+x[78]+x[80]+x[83]+2*x[84]+x[87])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+2*x[46]+4*x[47]+x[50]+7*x[51]+4*x[54]+9*x[55]+6*x[58]+5*x[61]+2*x[65]+2*x[68]+7*x[69]+3*x[72]+7*x[75]+3*x[79]+3*x[85]+x[86]+2*x[88])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+3*x[48]+x[49]+5*x[52]+7*x[53]+7*x[56]+4*x[57]+6*x[59]+6*x[60]+x[63]+x[64]+4*x[67]+3*x[70]+5*x[71]+6*x[73]+4*x[74]+7*x[76]+x[77]+3*x[78]+4*x[80]+x[83]+3*x[84]+3*x[87]+x[89]+2*x[90]+x[93])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+8*x[55]+6*x[58]+8*x[61]+x[65]+2*x[68]+6*x[69]+5*x[72]+10*x[75]+6*x[79]+4*x[85]+x[86]+4*x[88]+3*x[91]+x[95])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+6*x[59]+6*x[60]+x[64]+2*x[67]+2*x[70]+5*x[71]+6*x[73]+3*x[74]+8*x[76]+x[77]+4*x[78]+7*x[80]+x[81]+x[82]+x[83]+3*x[84]+4*x[87]+2*x[89]+5*x[90]+x[93]+x[94]+x[96])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+8*x[75]+9*x[79]+4*x[85]+x[86]+6*x[88]+4*x[91]+2*x[92]+2*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+7*x[80]+2*x[81]+2*x[82]+2*x[84]+4*x[87]+2*x[89]+7*x[90]+2*x[93]+2*x[94]+x[96]+x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+4*x[91]+4*x[92]+4*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #15 : [3, 3, 3, 2, 2, 1, 1, 1] dim = 74 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[4]+6*V[3]+16*V[2]+12*V[1]+9*V[0] Z_G(x)_0 = 2*O3+Sp2 # Green Polys by orbit reps #15.1 : x[18] : [3, 3, 3, 2, 2, 1, 1, 1],[] : [[1], [2, 2, 2, 1]] Qxi[D8,15,1] = (x[18])*q^19 + (x[19]+x[22]+x[27]+x[28]+x[35])*q^18 + (x[21]+x[24]+2*x[29]+2*x[41]+2*x[43]+x[54])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+2*x[30]+x[31]+x[32]+x[38]+x[42]+x[44]+3*x[45]+x[49]+x[52]+3*x[53]+x[56]+x[63]+x[64])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+x[46]+3*x[47]+x[50]+4*x[51]+2*x[54]+4*x[55]+x[58]+x[61]+x[65]+3*x[69])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+2*x[48]+x[49]+4*x[52]+6*x[53]+5*x[56]+2*x[57]+2*x[59]+2*x[60]+x[63]+x[64]+2*x[67]+2*x[70]+2*x[71]+2*x[73]+x[74]+2*x[76]+x[78]+x[84])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+7*x[55]+4*x[58]+5*x[61]+x[65]+x[68]+5*x[69]+3*x[72]+5*x[75]+x[79]+x[85]+x[88])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+5*x[59]+5*x[60]+x[64]+2*x[67]+2*x[70]+4*x[71]+5*x[73]+2*x[74]+6*x[76]+x[77]+3*x[78]+3*x[80]+x[83]+2*x[84]+x[87]+x[89]+x[90])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+7*x[75]+6*x[79]+3*x[85]+4*x[88]+2*x[91])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+6*x[80]+x[81]+x[82]+2*x[84]+3*x[87]+2*x[89]+5*x[90]+x[93]+x[94])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+3*x[91]+3*x[92]+2*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #15.1 : c = () |O_x_c^F| = q^16*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,15,1] = (x[18])*q^19 + (x[19]+x[22]+x[27]+x[28]+x[35])*q^18 + (x[21]+x[24]+2*x[29]+2*x[41]+2*x[43]+x[54])*q^17 + (x[22]+x[25]+x[26]+x[27]+x[28]+2*x[30]+x[31]+x[32]+x[38]+x[42]+x[44]+3*x[45]+x[49]+x[52]+3*x[53]+x[56]+x[63]+x[64])*q^16 + (4*x[29]+x[40]+x[41]+2*x[43]+x[46]+3*x[47]+x[50]+4*x[51]+2*x[54]+4*x[55]+x[58]+x[61]+x[65]+3*x[69])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+2*x[48]+x[49]+4*x[52]+6*x[53]+5*x[56]+2*x[57]+2*x[59]+2*x[60]+x[63]+x[64]+2*x[67]+2*x[70]+2*x[71]+2*x[73]+x[74]+2*x[76]+x[78]+x[84])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+7*x[55]+4*x[58]+5*x[61]+x[65]+x[68]+5*x[69]+3*x[72]+5*x[75]+x[79]+x[85]+x[88])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+5*x[59]+5*x[60]+x[64]+2*x[67]+2*x[70]+4*x[71]+5*x[73]+2*x[74]+6*x[76]+x[77]+3*x[78]+3*x[80]+x[83]+2*x[84]+x[87]+x[89]+x[90])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+7*x[75]+6*x[79]+3*x[85]+4*x[88]+2*x[91])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+6*x[80]+x[81]+x[82]+2*x[84]+3*x[87]+2*x[89]+5*x[90]+x[93]+x[94])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+3*x[91]+3*x[92]+2*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #16 : [3, 3, 3, 3, 1, 1, 1, 1] dim = 76 A(O) = Z2 , |A(O)_0| = 2 g_s = 6*V[4]+26*V[2]+12*V[0] Z_G(x)_0 = 2*O4 # Green Polys by orbit reps #16.1 : x[19] : [3, 3, 3, 3, 1, 1, 1, 1],[1] : [[1, 1], [2, 2, 1, 1]] Qxi[D8,16,1] = (x[19])*q^18 + (x[21]+x[24]+x[29]+x[41])*q^17 + (x[22]+x[25]+x[26]+x[27]+2*x[30]+x[31]+x[32]+x[38]+x[42]+2*x[45]+x[49]+x[52]+x[53])*q^16 + (4*x[29]+x[40]+x[41]+x[43]+x[46]+2*x[47]+x[50]+4*x[51]+x[54]+3*x[55]+x[58]+x[65]+x[69])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+3*x[45]+2*x[48]+x[49]+4*x[52]+5*x[53]+5*x[56]+x[57]+2*x[59]+2*x[60]+x[63]+2*x[67]+x[70]+x[71]+2*x[73]+x[74]+x[76])*q^14 + (x[29]+x[43]+x[46]+2*x[47]+4*x[51]+3*x[54]+7*x[55]+4*x[58]+4*x[61]+x[65]+x[68]+4*x[69]+2*x[72]+5*x[75]+x[79]+x[85])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+4*x[56]+4*x[57]+5*x[59]+5*x[60]+x[64]+2*x[67]+2*x[70]+4*x[71]+5*x[73]+2*x[74]+5*x[76]+x[77]+3*x[78]+3*x[80]+x[83]+x[84]+x[87]+x[90])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+6*x[61]+x[68]+3*x[69]+3*x[72]+7*x[75]+6*x[79]+3*x[85]+3*x[88]+2*x[91])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+2*x[78]+6*x[80]+x[81]+x[82]+2*x[84]+3*x[87]+2*x[89]+5*x[90]+x[93])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+3*x[91]+3*x[92]+2*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #16.2 : x[20] : [3, 3, 3, 3, 1, 1, 1, 1],[-1] : [[2, 2], [1, 1, 1, 1]] Qxi[D8,16,2] = (x[20])*q^18 + (x[21]+x[24]+x[46])*q^17 + (x[25]+x[26]+2*x[30]+x[39]+x[45]+x[48]+x[49]+x[52])*q^16 + (2*x[29]+x[40]+2*x[46]+x[47]+x[50]+3*x[51]+2*x[55]+x[58]+x[68])*q^15 + (x[30]+x[31]+x[32]+x[45]+x[48]+4*x[52]+2*x[53]+2*x[56]+x[57]+2*x[59]+2*x[60]+x[66]+x[67]+2*x[71]+x[73]+x[74])*q^14 + (x[46]+2*x[51]+x[54]+4*x[55]+3*x[58]+2*x[61]+2*x[68]+x[69]+x[72]+4*x[75]+x[79]+x[86])*q^13 + (x[48]+x[52]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+2*x[71]+2*x[73]+2*x[74]+3*x[76]+x[78]+3*x[80]+2*x[87])*q^12 + (x[55]+x[58]+2*x[61]+x[68]+x[72]+4*x[75]+4*x[79]+x[85]+x[86]+x[88]+2*x[91])*q^11 + (x[59]+x[60]+x[71]+x[74]+x[76]+x[78]+3*x[80]+x[81]+x[82]+2*x[87]+3*x[90]+x[96])*q^10 + (x[75]+2*x[79]+x[86]+x[88]+2*x[91]+2*x[92]+x[95])*q^9 + (x[80]+x[81]+x[82]+x[87]+x[90]+x[96]+x[97])*q^8 + (x[91]+x[92]+x[95])*q^7 + (x[96]+x[97])*q^6 + (x[99])*q^5 # Green Polys by conj class in A(O) #16.1 : c = () |O_x_c^F| = 1/2*q^20*(q^2-q+1)*(q^2+q+1)*(q^2+1)^2*(q^4+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,16,1] = (x[19]+x[20])*q^18 + (2*x[21]+2*x[24]+x[29]+x[41]+x[46])*q^17 + (x[22]+2*x[25]+2*x[26]+x[27]+4*x[30]+x[31]+x[32]+x[38]+x[39]+x[42]+3*x[45]+x[48]+2*x[49]+2*x[52]+x[53])*q^16 + (6*x[29]+2*x[40]+x[41]+x[43]+3*x[46]+3*x[47]+2*x[50]+7*x[51]+x[54]+5*x[55]+2*x[58]+x[65]+x[68]+x[69])*q^15 + (x[28]+3*x[30]+2*x[31]+2*x[32]+x[44]+4*x[45]+3*x[48]+x[49]+8*x[52]+7*x[53]+7*x[56]+2*x[57]+4*x[59]+4*x[60]+x[63]+x[66]+3*x[67]+x[70]+3*x[71]+3*x[73]+2*x[74]+x[76])*q^14 + (x[29]+x[43]+2*x[46]+2*x[47]+6*x[51]+4*x[54]+11*x[55]+7*x[58]+6*x[61]+x[65]+3*x[68]+5*x[69]+3*x[72]+9*x[75]+2*x[79]+x[85]+x[86])*q^13 + (x[31]+x[32]+x[45]+2*x[48]+3*x[52]+3*x[53]+6*x[56]+5*x[57]+8*x[59]+8*x[60]+x[64]+3*x[67]+2*x[70]+6*x[71]+7*x[73]+4*x[74]+8*x[76]+x[77]+4*x[78]+6*x[80]+x[83]+x[84]+3*x[87]+x[90])*q^12 + (x[47]+x[51]+x[54]+5*x[55]+4*x[58]+8*x[61]+2*x[68]+3*x[69]+4*x[72]+11*x[75]+10*x[79]+4*x[85]+x[86]+4*x[88]+4*x[91])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+4*x[59]+4*x[60]+x[67]+x[70]+3*x[71]+2*x[73]+3*x[74]+7*x[76]+3*x[78]+9*x[80]+2*x[81]+2*x[82]+2*x[84]+5*x[87]+2*x[89]+8*x[90]+x[93]+x[96])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+5*x[75]+8*x[79]+2*x[85]+2*x[86]+5*x[88]+5*x[91]+5*x[92]+3*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+5*x[80]+3*x[81]+3*x[82]+x[84]+3*x[87]+x[89]+6*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+4*x[91]+4*x[92]+4*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+2*x[96]+4*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+2*x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #16.2 : c = (1) |O_x_c^F| = 1/2*q^20*(q^2-1)*(q^4+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,16,2] = (x[19]-x[20])*q^18 + (x[29]+x[41]-x[46])*q^17 + (x[22]+x[27]+x[31]+x[32]+x[38]-x[39]+x[42]+x[45]-x[48]+x[53])*q^16 + (2*x[29]+x[41]+x[43]-x[46]+x[47]+x[51]+x[54]+x[55]+x[65]-x[68]+x[69])*q^15 + (x[28]+x[30]+x[44]+2*x[45]+x[48]+x[49]+3*x[53]+3*x[56]+x[63]-x[66]+x[67]+x[70]-x[71]+x[73]+x[76])*q^14 + (x[29]+x[43]+2*x[47]+2*x[51]+2*x[54]+3*x[55]+x[58]+2*x[61]+x[65]-x[68]+3*x[69]+x[72]+x[75]+x[85]-x[86])*q^13 + (x[31]+x[32]+x[45]+x[52]+3*x[53]+2*x[56]+3*x[57]+2*x[59]+2*x[60]+x[64]+x[67]+2*x[70]+2*x[71]+3*x[73]+2*x[76]+x[77]+2*x[78]+x[83]+x[84]-x[87]+x[90])*q^12 + (x[47]+x[51]+x[54]+3*x[55]+2*x[58]+4*x[61]+3*x[69]+2*x[72]+3*x[75]+2*x[79]+2*x[85]-x[86]+2*x[88])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+x[71]+2*x[73]+x[74]+5*x[76]+x[78]+3*x[80]+2*x[84]+x[87]+2*x[89]+2*x[90]+x[93]-x[96])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+3*x[75]+4*x[79]+2*x[85]+3*x[88]+x[91]+x[92]+x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+3*x[80]+x[81]+x[82]+x[84]+x[87]+x[89]+4*x[90]+x[93]+2*x[94])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+2*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #17 : [3, 3, 3, 3, 2, 2] dim = 78 A(O) = 1 , |A(O)_0| = 1 g_s = 6*V[4]+8*V[3]+11*V[2]+8*V[1]+9*V[0] Z_G(x)_0 = Sp2+O4 # Green Polys by orbit reps #17.1 : x[21] : [3, 3, 3, 3, 2, 2],[] : [[1, 1, 1], [2, 2, 1]] Qxi[D8,17,1] = (x[21])*q^17 + (x[22]+x[25]+x[26]+x[30]+x[45])*q^16 + (3*x[29]+x[40]+x[43]+x[46]+x[47]+2*x[51]+x[55])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+2*x[45]+x[48]+3*x[52]+3*x[53]+3*x[56]+x[57]+x[59]+x[60]+x[67]+x[71])*q^14 + (x[29]+x[43]+x[46]+x[47]+3*x[51]+2*x[54]+6*x[55]+2*x[58]+3*x[61]+x[68]+2*x[69]+x[72]+3*x[75])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+2*x[53]+4*x[56]+3*x[57]+4*x[59]+4*x[60]+x[64]+x[67]+x[70]+3*x[71]+3*x[73]+x[74]+4*x[76]+2*x[78]+2*x[80]+x[87])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+2*x[58]+5*x[61]+x[68]+2*x[69]+2*x[72]+6*x[75]+5*x[79]+x[85]+2*x[88]+x[91])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+x[73]+2*x[74]+5*x[76]+2*x[78]+5*x[80]+x[81]+x[82]+x[84]+2*x[87]+x[89]+4*x[90])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+5*x[79]+x[85]+x[86]+3*x[88]+3*x[91]+3*x[92]+x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+4*x[90]+x[94]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+2*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #17.1 : c = () |O_x_c^F| = q^20*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,17,1] = (x[21])*q^17 + (x[22]+x[25]+x[26]+x[30]+x[45])*q^16 + (3*x[29]+x[40]+x[43]+x[46]+x[47]+2*x[51]+x[55])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+x[44]+2*x[45]+x[48]+3*x[52]+3*x[53]+3*x[56]+x[57]+x[59]+x[60]+x[67]+x[71])*q^14 + (x[29]+x[43]+x[46]+x[47]+3*x[51]+2*x[54]+6*x[55]+2*x[58]+3*x[61]+x[68]+2*x[69]+x[72]+3*x[75])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+2*x[53]+4*x[56]+3*x[57]+4*x[59]+4*x[60]+x[64]+x[67]+x[70]+3*x[71]+3*x[73]+x[74]+4*x[76]+2*x[78]+2*x[80]+x[87])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+2*x[58]+5*x[61]+x[68]+2*x[69]+2*x[72]+6*x[75]+5*x[79]+x[85]+2*x[88]+x[91])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+x[73]+2*x[74]+5*x[76]+2*x[78]+5*x[80]+x[81]+x[82]+x[84]+2*x[87]+x[89]+4*x[90])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+5*x[79]+x[85]+x[86]+3*x[88]+3*x[91]+3*x[92]+x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+4*x[90]+x[94]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+2*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #18 : [3, 3, 3, 3, 3, 1] dim = 80 A(O) = 1 , |A(O)_0| = 1 g_s = 10*V[4]+20*V[2]+10*V[0] Z_G(x)_0 = O5+O1 # Green Polys by orbit reps #18.1 : x[22] : [3, 3, 3, 3, 3, 1],[] : [[1, 1], [2, 2, 2]] Qxi[D8,18,1] = (x[22])*q^16 + (x[29]+x[43])*q^15 + (x[28]+x[30]+x[44]+x[45]+x[53]+x[56])*q^14 + (x[29]+x[43]+x[47]+x[51]+x[54]+2*x[55]+x[61]+x[69])*q^13 + (x[31]+x[32]+x[45]+x[52]+2*x[53]+2*x[56]+2*x[57]+x[59]+x[60]+x[64]+x[70]+x[71]+x[73]+x[76]+x[78])*q^12 + (x[47]+x[51]+x[54]+3*x[55]+x[58]+3*x[61]+2*x[69]+x[72]+2*x[75]+x[79]+x[88])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+x[71]+x[73]+x[74]+4*x[76]+x[78]+2*x[80]+x[84]+x[89]+x[90])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+3*x[75]+3*x[79]+x[85]+2*x[88]+x[91]+x[92])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+3*x[80]+x[81]+x[82]+x[84]+x[87]+x[89]+3*x[90]+x[94])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+2*x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #18.1 : c = () |O_x_c^F| = q^22*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,18,1] = (x[22])*q^16 + (x[29]+x[43])*q^15 + (x[28]+x[30]+x[44]+x[45]+x[53]+x[56])*q^14 + (x[29]+x[43]+x[47]+x[51]+x[54]+2*x[55]+x[61]+x[69])*q^13 + (x[31]+x[32]+x[45]+x[52]+2*x[53]+2*x[56]+2*x[57]+x[59]+x[60]+x[64]+x[70]+x[71]+x[73]+x[76]+x[78])*q^12 + (x[47]+x[51]+x[54]+3*x[55]+x[58]+3*x[61]+2*x[69]+x[72]+2*x[75]+x[79]+x[88])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+x[71]+x[73]+x[74]+4*x[76]+x[78]+2*x[80]+x[84]+x[89]+x[90])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+3*x[75]+3*x[79]+x[85]+2*x[88]+x[91]+x[92])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+3*x[80]+x[81]+x[82]+x[84]+x[87]+x[89]+3*x[90]+x[94])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+2*x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #19 : [4, 4, 1, 1, 1, 1, 1, 1, 1, 1] dim = 68 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+3*V[4]+16*V[3]+V[2]+31*V[0] Z_G(x)_0 = O8+Sp2 # Green Polys by orbit reps #19.1 : x[23] : [4, 4, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[2], [2, 1, 1, 1, 1]] Qxi[D8,19,1] = (x[23])*q^22 + (x[24]+x[36]+x[37]+x[50])*q^21 + (x[25]+x[26]+x[27]+x[38]+x[39]+2*x[49]+x[52]+x[62]+x[66])*q^20 + (2*x[24]+x[29]+2*x[40]+x[41]+2*x[50]+3*x[51]+x[54]+x[58]+2*x[65]+x[68])*q^19 + (x[25]+x[26]+x[27]+x[28]+2*x[30]+2*x[38]+2*x[39]+x[45]+3*x[49]+5*x[52]+2*x[53]+x[56]+x[59]+x[60]+x[63]+x[66]+3*x[67]+x[73]+2*x[74]+x[83])*q^18 + (x[24]+3*x[29]+2*x[40]+x[41]+x[43]+2*x[46]+3*x[50]+7*x[51]+3*x[54]+3*x[55]+4*x[58]+x[61]+3*x[65]+4*x[68]+2*x[69]+3*x[75]+x[85]+x[86])*q^17 + (x[25]+x[26]+x[27]+2*x[30]+x[31]+x[32]+x[38]+x[39]+3*x[45]+2*x[49]+8*x[52]+5*x[53]+5*x[56]+4*x[59]+4*x[60]+x[63]+x[64]+2*x[66]+5*x[67]+3*x[71]+6*x[73]+4*x[74]+x[76]+2*x[78]+x[80]+x[83]+x[84]+2*x[87])*q^16 + (3*x[29]+2*x[40]+x[41]+2*x[46]+x[47]+2*x[50]+8*x[51]+4*x[54]+7*x[55]+7*x[58]+4*x[61]+2*x[65]+5*x[68]+5*x[69]+10*x[75]+3*x[79]+4*x[85]+2*x[86]+x[88]+x[91])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+3*x[45]+x[48]+x[49]+7*x[52]+5*x[53]+7*x[56]+2*x[57]+7*x[59]+7*x[60]+x[63]+x[66]+6*x[67]+x[70]+5*x[71]+7*x[73]+7*x[74]+6*x[76]+3*x[78]+5*x[80]+x[83]+2*x[84]+5*x[87]+3*x[90]+x[93])*q^14 + (x[29]+x[43]+2*x[46]+x[47]+5*x[51]+4*x[54]+8*x[55]+7*x[58]+7*x[61]+x[65]+4*x[68]+5*x[69]+2*x[72]+14*x[75]+7*x[79]+5*x[85]+3*x[86]+4*x[88]+5*x[91]+x[95])*q^13 + (x[31]+x[32]+x[45]+2*x[48]+3*x[52]+3*x[53]+5*x[56]+3*x[57]+7*x[59]+7*x[60]+x[64]+3*x[67]+x[70]+6*x[71]+7*x[73]+5*x[74]+7*x[76]+6*x[78]+9*x[80]+x[81]+x[82]+x[83]+2*x[84]+7*x[87]+x[89]+7*x[90]+x[93]+x[94]+2*x[96])*q^12 + (x[47]+x[51]+x[54]+5*x[55]+4*x[58]+7*x[61]+2*x[68]+3*x[69]+3*x[72]+11*x[75]+10*x[79]+5*x[85]+2*x[86]+5*x[88]+7*x[91]+3*x[92]+3*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+4*x[59]+4*x[60]+x[67]+x[70]+3*x[71]+2*x[73]+3*x[74]+7*x[76]+3*x[78]+9*x[80]+2*x[81]+2*x[82]+2*x[84]+6*x[87]+x[89]+9*x[90]+2*x[93]+x[94]+2*x[96]+2*x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+5*x[75]+8*x[79]+2*x[85]+2*x[86]+5*x[88]+6*x[91]+5*x[92]+5*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+5*x[80]+3*x[81]+3*x[82]+x[84]+3*x[87]+x[89]+6*x[90]+x[93]+2*x[94]+3*x[96]+3*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+4*x[91]+4*x[92]+4*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+2*x[96]+4*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+2*x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #19.1 : c = () |O_x_c^F| = q^22*(q^2+1)*(q^4+1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,19,1] = (x[23])*q^22 + (x[24]+x[36]+x[37]+x[50])*q^21 + (x[25]+x[26]+x[27]+x[38]+x[39]+2*x[49]+x[52]+x[62]+x[66])*q^20 + (2*x[24]+x[29]+2*x[40]+x[41]+2*x[50]+3*x[51]+x[54]+x[58]+2*x[65]+x[68])*q^19 + (x[25]+x[26]+x[27]+x[28]+2*x[30]+2*x[38]+2*x[39]+x[45]+3*x[49]+5*x[52]+2*x[53]+x[56]+x[59]+x[60]+x[63]+x[66]+3*x[67]+x[73]+2*x[74]+x[83])*q^18 + (x[24]+3*x[29]+2*x[40]+x[41]+x[43]+2*x[46]+3*x[50]+7*x[51]+3*x[54]+3*x[55]+4*x[58]+x[61]+3*x[65]+4*x[68]+2*x[69]+3*x[75]+x[85]+x[86])*q^17 + (x[25]+x[26]+x[27]+2*x[30]+x[31]+x[32]+x[38]+x[39]+3*x[45]+2*x[49]+8*x[52]+5*x[53]+5*x[56]+4*x[59]+4*x[60]+x[63]+x[64]+2*x[66]+5*x[67]+3*x[71]+6*x[73]+4*x[74]+x[76]+2*x[78]+x[80]+x[83]+x[84]+2*x[87])*q^16 + (3*x[29]+2*x[40]+x[41]+2*x[46]+x[47]+2*x[50]+8*x[51]+4*x[54]+7*x[55]+7*x[58]+4*x[61]+2*x[65]+5*x[68]+5*x[69]+10*x[75]+3*x[79]+4*x[85]+2*x[86]+x[88]+x[91])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+3*x[45]+x[48]+x[49]+7*x[52]+5*x[53]+7*x[56]+2*x[57]+7*x[59]+7*x[60]+x[63]+x[66]+6*x[67]+x[70]+5*x[71]+7*x[73]+7*x[74]+6*x[76]+3*x[78]+5*x[80]+x[83]+2*x[84]+5*x[87]+3*x[90]+x[93])*q^14 + (x[29]+x[43]+2*x[46]+x[47]+5*x[51]+4*x[54]+8*x[55]+7*x[58]+7*x[61]+x[65]+4*x[68]+5*x[69]+2*x[72]+14*x[75]+7*x[79]+5*x[85]+3*x[86]+4*x[88]+5*x[91]+x[95])*q^13 + (x[31]+x[32]+x[45]+2*x[48]+3*x[52]+3*x[53]+5*x[56]+3*x[57]+7*x[59]+7*x[60]+x[64]+3*x[67]+x[70]+6*x[71]+7*x[73]+5*x[74]+7*x[76]+6*x[78]+9*x[80]+x[81]+x[82]+x[83]+2*x[84]+7*x[87]+x[89]+7*x[90]+x[93]+x[94]+2*x[96])*q^12 + (x[47]+x[51]+x[54]+5*x[55]+4*x[58]+7*x[61]+2*x[68]+3*x[69]+3*x[72]+11*x[75]+10*x[79]+5*x[85]+2*x[86]+5*x[88]+7*x[91]+3*x[92]+3*x[95])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+4*x[59]+4*x[60]+x[67]+x[70]+3*x[71]+2*x[73]+3*x[74]+7*x[76]+3*x[78]+9*x[80]+2*x[81]+2*x[82]+2*x[84]+6*x[87]+x[89]+9*x[90]+2*x[93]+x[94]+2*x[96]+2*x[97])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+5*x[75]+8*x[79]+2*x[85]+2*x[86]+5*x[88]+6*x[91]+5*x[92]+5*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+5*x[80]+3*x[81]+3*x[82]+x[84]+3*x[87]+x[89]+6*x[90]+x[93]+2*x[94]+3*x[96]+3*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+4*x[91]+4*x[92]+4*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+2*x[96]+4*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+2*x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #20 : [4, 4, 2, 2, 1, 1, 1, 1] dim = 78 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+7*V[4]+8*V[3]+6*V[2]+8*V[1]+12*V[0] Z_G(x)_0 = 2*Sp2+O4 # Green Polys by orbit reps #20.1 : x[24] : [4, 4, 2, 2, 1, 1, 1, 1],[] : [[2, 1], [2, 1, 1, 1]] Qxi[D8,20,1] = (x[24])*q^17 + (x[25]+x[26]+x[27]+x[30]+x[38]+x[39]+x[49]+x[52])*q^16 + (3*x[29]+2*x[40]+x[41]+x[46]+2*x[50]+4*x[51]+x[54]+x[55]+x[58]+x[65]+x[68])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+3*x[45]+x[49]+6*x[52]+4*x[53]+4*x[56]+2*x[59]+2*x[60]+x[63]+x[66]+3*x[67]+x[71]+2*x[73]+2*x[74])*q^14 + (x[29]+x[43]+2*x[46]+x[47]+5*x[51]+4*x[54]+7*x[55]+5*x[58]+3*x[61]+x[65]+3*x[68]+4*x[69]+7*x[75]+x[79]+x[85]+x[86])*q^13 + (x[31]+x[32]+x[45]+2*x[48]+3*x[52]+3*x[53]+5*x[56]+3*x[57]+6*x[59]+6*x[60]+x[64]+3*x[67]+x[70]+5*x[71]+6*x[73]+4*x[74]+5*x[76]+4*x[78]+4*x[80]+x[83]+x[84]+3*x[87]+x[90])*q^12 + (x[47]+x[51]+x[54]+5*x[55]+4*x[58]+7*x[61]+2*x[68]+3*x[69]+3*x[72]+10*x[75]+7*x[79]+4*x[85]+x[86]+3*x[88]+4*x[91])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+4*x[59]+4*x[60]+x[67]+x[70]+3*x[71]+2*x[73]+3*x[74]+7*x[76]+3*x[78]+8*x[80]+x[81]+x[82]+2*x[84]+5*x[87]+x[89]+7*x[90]+x[93]+x[96])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+5*x[75]+8*x[79]+2*x[85]+2*x[86]+5*x[88]+5*x[91]+4*x[92]+3*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+5*x[80]+3*x[81]+3*x[82]+x[84]+3*x[87]+x[89]+6*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+4*x[91]+4*x[92]+4*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+2*x[96]+4*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+2*x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #20.1 : c = () |O_x_c^F| = q^22*(q^2-q+1)*(q^2+q+1)*(q^2+1)^2*(q^4+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,20,1] = (x[24])*q^17 + (x[25]+x[26]+x[27]+x[30]+x[38]+x[39]+x[49]+x[52])*q^16 + (3*x[29]+2*x[40]+x[41]+x[46]+2*x[50]+4*x[51]+x[54]+x[55]+x[58]+x[65]+x[68])*q^15 + (x[28]+2*x[30]+x[31]+x[32]+3*x[45]+x[49]+6*x[52]+4*x[53]+4*x[56]+2*x[59]+2*x[60]+x[63]+x[66]+3*x[67]+x[71]+2*x[73]+2*x[74])*q^14 + (x[29]+x[43]+2*x[46]+x[47]+5*x[51]+4*x[54]+7*x[55]+5*x[58]+3*x[61]+x[65]+3*x[68]+4*x[69]+7*x[75]+x[79]+x[85]+x[86])*q^13 + (x[31]+x[32]+x[45]+2*x[48]+3*x[52]+3*x[53]+5*x[56]+3*x[57]+6*x[59]+6*x[60]+x[64]+3*x[67]+x[70]+5*x[71]+6*x[73]+4*x[74]+5*x[76]+4*x[78]+4*x[80]+x[83]+x[84]+3*x[87]+x[90])*q^12 + (x[47]+x[51]+x[54]+5*x[55]+4*x[58]+7*x[61]+2*x[68]+3*x[69]+3*x[72]+10*x[75]+7*x[79]+4*x[85]+x[86]+3*x[88]+4*x[91])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+4*x[59]+4*x[60]+x[67]+x[70]+3*x[71]+2*x[73]+3*x[74]+7*x[76]+3*x[78]+8*x[80]+x[81]+x[82]+2*x[84]+5*x[87]+x[89]+7*x[90]+x[93]+x[96])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+5*x[75]+8*x[79]+2*x[85]+2*x[86]+5*x[88]+5*x[91]+4*x[92]+3*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+5*x[80]+3*x[81]+3*x[82]+x[84]+3*x[87]+x[89]+6*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+4*x[91]+4*x[92]+4*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+2*x[96]+4*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+2*x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #21 : [4, 4, 2, 2, 2, 2, 0] dim = 80 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+11*V[4]+15*V[2]+13*V[0] Z_G(x)_0 = Sp4+Sp2 # Green Polys by orbit reps #21.1 : x[25] : [4, 4, 2, 2, 2, 2, 0],[] : [[2, 1, 1], [2, 1, 1], 2] Qxi[D8,21,1] = (x[25])*q^16 + (x[29]+x[40]+x[51])*q^15 + (x[28]+x[30]+x[31]+x[45]+2*x[52]+x[53]+x[56]+x[59]+x[67])*q^14 + (x[29]+x[43]+x[46]+2*x[51]+2*x[54]+3*x[55]+x[58]+x[61]+x[68]+x[69]+2*x[75])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+2*x[53]+3*x[56]+x[57]+3*x[59]+2*x[60]+x[64]+x[67]+2*x[71]+2*x[73]+x[74]+2*x[76]+2*x[78]+x[80]+x[87])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+2*x[58]+4*x[61]+x[68]+2*x[69]+x[72]+5*x[75]+3*x[79]+x[85]+x[88]+x[91])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+x[73]+2*x[74]+5*x[76]+2*x[78]+4*x[80]+x[81]+x[84]+2*x[87]+3*x[90])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+5*x[79]+x[85]+x[86]+3*x[88]+3*x[91]+2*x[92]+x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+4*x[90]+x[94]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+2*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #21.1 : c = () |O_x_c^F| = q^24*(q^2-q+1)*(q^2+q+1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,21,1] = (x[25])*q^16 + (x[29]+x[40]+x[51])*q^15 + (x[28]+x[30]+x[31]+x[45]+2*x[52]+x[53]+x[56]+x[59]+x[67])*q^14 + (x[29]+x[43]+x[46]+2*x[51]+2*x[54]+3*x[55]+x[58]+x[61]+x[68]+x[69]+2*x[75])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+2*x[53]+3*x[56]+x[57]+3*x[59]+2*x[60]+x[64]+x[67]+2*x[71]+2*x[73]+x[74]+2*x[76]+2*x[78]+x[80]+x[87])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+2*x[58]+4*x[61]+x[68]+2*x[69]+x[72]+5*x[75]+3*x[79]+x[85]+x[88]+x[91])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+x[73]+2*x[74]+5*x[76]+2*x[78]+4*x[80]+x[81]+x[84]+2*x[87]+3*x[90])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+5*x[79]+x[85]+x[86]+3*x[88]+3*x[91]+2*x[92]+x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+4*x[90]+x[94]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+2*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #22 : [4, 4, 2, 2, 2, 2] dim = 80 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+11*V[4]+15*V[2]+13*V[0] Z_G(x)_0 = Sp4+Sp2 # Green Polys by orbit reps #22.1 : x[26] : [4, 4, 2, 2, 2, 2],[] : [[2, 1, 1], [2, 1, 1], 1] Qxi[D8,22,1] = (x[26])*q^16 + (x[29]+x[40]+x[51])*q^15 + (x[28]+x[30]+x[32]+x[45]+2*x[52]+x[53]+x[56]+x[60]+x[67])*q^14 + (x[29]+x[43]+x[46]+2*x[51]+2*x[54]+3*x[55]+x[58]+x[61]+x[68]+x[69]+2*x[75])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+2*x[53]+3*x[56]+x[57]+2*x[59]+3*x[60]+x[64]+x[67]+2*x[71]+2*x[73]+x[74]+2*x[76]+2*x[78]+x[80]+x[87])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+2*x[58]+4*x[61]+x[68]+2*x[69]+x[72]+5*x[75]+3*x[79]+x[85]+x[88]+x[91])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+x[73]+2*x[74]+5*x[76]+2*x[78]+4*x[80]+x[82]+x[84]+2*x[87]+3*x[90])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+5*x[79]+x[85]+x[86]+3*x[88]+3*x[91]+2*x[92]+x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+4*x[90]+x[94]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+2*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #22.1 : c = () |O_x_c^F| = q^24*(q^2-q+1)*(q^2+q+1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,22,1] = (x[26])*q^16 + (x[29]+x[40]+x[51])*q^15 + (x[28]+x[30]+x[32]+x[45]+2*x[52]+x[53]+x[56]+x[60]+x[67])*q^14 + (x[29]+x[43]+x[46]+2*x[51]+2*x[54]+3*x[55]+x[58]+x[61]+x[68]+x[69]+2*x[75])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+2*x[53]+3*x[56]+x[57]+2*x[59]+3*x[60]+x[64]+x[67]+2*x[71]+2*x[73]+x[74]+2*x[76]+2*x[78]+x[80]+x[87])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+2*x[58]+4*x[61]+x[68]+2*x[69]+x[72]+5*x[75]+3*x[79]+x[85]+x[88]+x[91])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+x[73]+2*x[74]+5*x[76]+2*x[78]+4*x[80]+x[82]+x[84]+2*x[87]+3*x[90])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+5*x[79]+x[85]+x[86]+3*x[88]+3*x[91]+2*x[92]+x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+4*x[90]+x[94]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+2*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #23 : [4, 4, 3, 1, 1, 1, 1, 1] dim = 80 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+2*V[5]+3*V[4]+12*V[3]+7*V[2]+2*V[1]+13*V[0] Z_G(x)_0 = Sp2+O5+O1 # Green Polys by orbit reps #23.1 : x[27] : [4, 4, 3, 1, 1, 1, 1, 1],[] : [[2], [2, 2, 1, 1]] Qxi[D8,23,1] = (x[27])*q^16 + (x[29]+x[41]+x[50]+x[54])*q^15 + (x[28]+x[30]+x[45]+x[49]+x[52]+2*x[53]+x[56]+x[63]+x[74])*q^14 + (x[29]+x[43]+x[46]+x[47]+2*x[51]+2*x[54]+2*x[55]+2*x[58]+x[61]+x[65]+2*x[69]+x[75])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+2*x[56]+2*x[57]+2*x[59]+2*x[60]+x[64]+x[67]+x[70]+2*x[71]+3*x[73]+x[74]+x[76]+2*x[78]+x[80]+x[83]+x[84])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+4*x[61]+x[68]+3*x[69]+2*x[72]+4*x[75]+2*x[79]+2*x[85]+x[88]+x[91])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+x[78]+4*x[80]+2*x[84]+2*x[87]+x[89]+2*x[90]+x[93])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+2*x[91]+x[92]+x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+x[96])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #23.1 : c = () |O_x_c^F| = q^24*(q^2-q+1)*(q^2+q+1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,23,1] = (x[27])*q^16 + (x[29]+x[41]+x[50]+x[54])*q^15 + (x[28]+x[30]+x[45]+x[49]+x[52]+2*x[53]+x[56]+x[63]+x[74])*q^14 + (x[29]+x[43]+x[46]+x[47]+2*x[51]+2*x[54]+2*x[55]+2*x[58]+x[61]+x[65]+2*x[69]+x[75])*q^13 + (x[31]+x[32]+x[45]+x[48]+2*x[52]+3*x[53]+2*x[56]+2*x[57]+2*x[59]+2*x[60]+x[64]+x[67]+x[70]+2*x[71]+3*x[73]+x[74]+x[76]+2*x[78]+x[80]+x[83]+x[84])*q^12 + (x[47]+x[51]+x[54]+4*x[55]+3*x[58]+4*x[61]+x[68]+3*x[69]+2*x[72]+4*x[75]+2*x[79]+2*x[85]+x[88]+x[91])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+2*x[74]+6*x[76]+x[78]+4*x[80]+2*x[84]+2*x[87]+x[89]+2*x[90]+x[93])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+x[86]+4*x[88]+2*x[91]+x[92]+x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+2*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+x[96])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+3*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #24 : [4, 4, 3, 2, 2, 1] dim = 84 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+2*V[5]+7*V[4]+6*V[3]+8*V[2]+6*V[1]+6*V[0] Z_G(x)_0 = 2*Sp2+2*O1 # Green Polys by orbit reps #24.1 : x[28] : [4, 4, 3, 2, 2, 1],[] : [[2], [2, 2, 2]] Qxi[D8,24,1] = (x[28])*q^14 + (x[29]+x[43]+x[54])*q^13 + (x[31]+x[32]+x[45]+x[52]+2*x[53]+x[56]+x[64]+x[78])*q^12 + (x[47]+x[51]+x[54]+3*x[55]+x[58]+2*x[61]+2*x[69]+x[75])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+x[71]+x[73]+x[74]+4*x[76]+x[78]+x[80]+x[84])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+3*x[75]+3*x[79]+x[85]+2*x[88]+x[91])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+3*x[80]+x[81]+x[82]+x[84]+x[87]+x[89]+3*x[90]+x[94])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+2*x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #24.1 : c = () |O_x_c^F| = q^24*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,24,1] = (x[28])*q^14 + (x[29]+x[43]+x[54])*q^13 + (x[31]+x[32]+x[45]+x[52]+2*x[53]+x[56]+x[64]+x[78])*q^12 + (x[47]+x[51]+x[54]+3*x[55]+x[58]+2*x[61]+2*x[69]+x[75])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+x[71]+x[73]+x[74]+4*x[76]+x[78]+x[80]+x[84])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+3*x[75]+3*x[79]+x[85]+2*x[88]+x[91])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+3*x[80]+x[81]+x[82]+x[84]+x[87]+x[89]+3*x[90]+x[94])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+2*x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #25 : [4, 4, 3, 3, 1, 1] dim = 86 A(O) = Z2 , |A(O)_0| = 2 g_s = V[6]+4*V[5]+4*V[4]+8*V[3]+8*V[2]+4*V[1]+5*V[0] Z_G(x)_0 = Sp2+2*O2 # Green Polys by orbit reps #25.1 : x[29] : [4, 4, 3, 3, 1, 1],[1] : [[2, 1], [2, 2, 1]] Qxi[D8,25,1] = (x[29])*q^13 + (x[31]+x[32]+x[45]+x[52]+x[53]+x[56])*q^12 + (x[47]+x[51]+x[54]+3*x[55]+x[58]+x[61]+x[69]+x[75])*q^11 + (x[48]+x[53]+2*x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+x[71]+x[73]+x[74]+3*x[76]+x[78]+x[80])*q^10 + (x[55]+x[58]+3*x[61]+x[69]+2*x[72]+3*x[75]+3*x[79]+x[85]+x[88]+x[91])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+2*x[78]+3*x[80]+x[81]+x[82]+x[84]+x[87]+x[89]+3*x[90])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+2*x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #25.2 : x[30] : [4, 4, 3, 3, 1, 1],[-1] : [[2, 2], [2, 1, 1]] Qxi[D8,25,2] = (x[30])*q^13 + (x[46]+x[51]+x[55])*q^12 + (x[48]+x[52]+x[56]+x[57]+x[59]+x[60]+x[71]+x[73])*q^11 + (x[55]+x[58]+x[61]+x[68]+x[72]+2*x[75]+x[79])*q^10 + (x[59]+x[60]+x[71]+x[74]+x[76]+2*x[80]+x[87]+x[90])*q^9 + (x[75]+2*x[79]+x[86]+x[88]+x[91]+x[92])*q^8 + (x[80]+x[81]+x[82]+x[87]+x[90]+x[96])*q^7 + (x[91]+x[92]+x[95])*q^6 + (x[96]+x[97])*q^5 + (x[99])*q^4 # Green Polys by conj class in A(O) #25.1 : c = () |O_x_c^F| = 1/2*q^26*(q^2+q+1)*(q+1)*(q^2+1)*(q^3+1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,25,1] = (x[29]+x[30])*q^13 + (x[31]+x[32]+x[45]+x[46]+x[51]+x[52]+x[53]+x[55]+x[56])*q^12 + (x[47]+x[48]+x[51]+x[52]+x[54]+3*x[55]+x[56]+x[57]+x[58]+x[59]+x[60]+x[61]+x[69]+x[71]+x[73]+x[75])*q^11 + (x[48]+x[53]+x[55]+2*x[56]+x[57]+x[58]+2*x[59]+2*x[60]+x[61]+x[67]+x[68]+x[70]+x[71]+x[72]+x[73]+x[74]+2*x[75]+3*x[76]+x[78]+x[79]+x[80])*q^10 + (x[55]+x[58]+x[59]+x[60]+3*x[61]+x[69]+x[71]+2*x[72]+x[74]+3*x[75]+x[76]+3*x[79]+2*x[80]+x[85]+x[87]+x[88]+x[90]+x[91])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+x[75]+2*x[76]+x[77]+2*x[78]+2*x[79]+3*x[80]+x[81]+x[82]+x[84]+x[86]+x[87]+x[88]+x[89]+3*x[90]+x[91]+x[92])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[80]+x[81]+x[82]+x[85]+x[87]+2*x[88]+x[90]+2*x[91]+2*x[92]+x[95]+x[96])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[91]+x[92]+x[93]+x[94]+x[95]+2*x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[96]+x[97])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98]+x[99])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #25.2 : c = (1) |O_x_c^F| = 1/2*q^26*(q^2-q+1)*(q-1)*(q^2+1)*(q^3-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,25,2] = (x[29]-x[30])*q^13 + (x[31]+x[32]+x[45]-x[46]-x[51]+x[52]+x[53]-x[55]+x[56])*q^12 + (x[47]-x[48]+x[51]-x[52]+x[54]+3*x[55]-x[56]-x[57]+x[58]-x[59]-x[60]+x[61]+x[69]-x[71]-x[73]+x[75])*q^11 + (x[48]+x[53]-x[55]+2*x[56]+x[57]-x[58]+2*x[59]+2*x[60]-x[61]+x[67]-x[68]+x[70]+x[71]-x[72]+x[73]+x[74]-2*x[75]+3*x[76]+x[78]-x[79]+x[80])*q^10 + (x[55]+x[58]-x[59]-x[60]+3*x[61]+x[69]-x[71]+2*x[72]-x[74]+3*x[75]-x[76]+3*x[79]-2*x[80]+x[85]-x[87]+x[88]-x[90]+x[91])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]-x[75]+2*x[76]+x[77]+2*x[78]-2*x[79]+3*x[80]+x[81]+x[82]+x[84]-x[86]+x[87]-x[88]+x[89]+3*x[90]-x[91]-x[92])*q^8 + (x[61]+x[72]+x[75]+3*x[79]-x[80]-x[81]-x[82]+x[85]-x[87]+2*x[88]-x[90]+2*x[91]+2*x[92]+x[95]-x[96])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]-x[91]-x[92]+x[93]+x[94]-x[95]+2*x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]-x[96]-x[97])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98]-x[99])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #26 : [4, 4, 4, 4, 0] dim = 88 A(O) = 1 , |A(O)_0| = 1 g_s = 6*V[6]+10*V[4]+6*V[2]+10*V[0] Z_G(x)_0 = Sp4 # Green Polys by orbit reps #26.1 : x[31] : [4, 4, 4, 4, 0],[] : [[2, 2], [2, 2], 2] Qxi[D8,26,1] = (x[31])*q^12 + (x[55])*q^11 + (x[48]+x[56]+x[59]+x[76])*q^10 + (x[55]+x[61]+x[72]+x[75]+x[79])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[76]+x[77]+x[78]+x[80]+x[81]+x[90])*q^8 + (x[61]+x[72]+x[75]+2*x[79]+x[88]+x[91]+x[92])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+x[90]+x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #26.1 : c = () |O_x_c^F| = q^30*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,26,1] = (x[31])*q^12 + (x[55])*q^11 + (x[48]+x[56]+x[59]+x[76])*q^10 + (x[55]+x[61]+x[72]+x[75]+x[79])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[76]+x[77]+x[78]+x[80]+x[81]+x[90])*q^8 + (x[61]+x[72]+x[75]+2*x[79]+x[88]+x[91]+x[92])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+x[90]+x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #27 : [4, 4, 4, 4] dim = 88 A(O) = 1 , |A(O)_0| = 1 g_s = 6*V[6]+10*V[4]+6*V[2]+10*V[0] Z_G(x)_0 = Sp4 # Green Polys by orbit reps #27.1 : x[32] : [4, 4, 4, 4],[] : [[2, 2], [2, 2], 1] Qxi[D8,27,1] = (x[32])*q^12 + (x[55])*q^11 + (x[48]+x[56]+x[60]+x[76])*q^10 + (x[55]+x[61]+x[72]+x[75]+x[79])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[76]+x[77]+x[78]+x[80]+x[82]+x[90])*q^8 + (x[61]+x[72]+x[75]+2*x[79]+x[88]+x[91]+x[92])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+x[90]+x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #27.1 : c = () |O_x_c^F| = q^30*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,27,1] = (x[32])*q^12 + (x[55])*q^11 + (x[48]+x[56]+x[60]+x[76])*q^10 + (x[55]+x[61]+x[72]+x[75]+x[79])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[76]+x[77]+x[78]+x[80]+x[82]+x[90])*q^8 + (x[61]+x[72]+x[75]+2*x[79]+x[88]+x[91]+x[92])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+x[90]+x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #28 : [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] dim = 52 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+11*V[4]+V[2]+55*V[0] Z_G(x)_0 = O11+O1 # Green Polys by orbit reps #28.1 : x[33] : [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[], [3, 1, 1, 1, 1, 1]] Qxi[D8,28,1] = (x[33])*q^30 + (x[36])*q^29 + (x[34]+x[38]+x[62])*q^28 + (x[36]+x[40]+x[41]+x[65])*q^27 + (x[34]+x[35]+x[38]+x[39]+x[45]+x[49]+x[62]+x[63]+x[67])*q^26 + (x[36]+x[37]+x[40]+2*x[41]+x[43]+x[46]+x[51]+2*x[65]+x[68]+x[69])*q^25 + (x[34]+x[35]+2*x[38]+x[39]+x[42]+2*x[45]+x[49]+x[52]+x[53]+x[62]+2*x[63]+x[64]+x[66]+2*x[67]+x[71]+x[73]+x[83])*q^24 + (x[36]+2*x[40]+3*x[41]+x[43]+x[46]+x[47]+x[50]+2*x[51]+x[55]+3*x[65]+2*x[68]+3*x[69]+x[75]+x[85])*q^23 + (x[34]+x[35]+2*x[38]+x[39]+x[42]+x[44]+3*x[45]+x[48]+2*x[49]+2*x[52]+2*x[53]+x[56]+x[62]+3*x[63]+x[64]+x[66]+4*x[67]+x[70]+2*x[71]+2*x[73]+x[74]+x[76]+x[83]+x[84]+x[87])*q^22 + (x[36]+2*x[40]+3*x[41]+2*x[43]+2*x[46]+2*x[47]+x[50]+3*x[51]+x[54]+2*x[55]+x[58]+4*x[65]+3*x[68]+5*x[69]+x[72]+3*x[75]+2*x[85]+x[86]+x[88])*q^21 + (x[35]+2*x[38]+x[39]+2*x[42]+x[44]+4*x[45]+x[48]+2*x[49]+3*x[52]+3*x[53]+x[56]+x[57]+x[59]+x[60]+x[62]+3*x[63]+2*x[64]+x[66]+5*x[67]+2*x[70]+4*x[71]+4*x[73]+2*x[74]+2*x[76]+x[78]+2*x[83]+2*x[84]+2*x[87]+x[90])*q^20 + (2*x[40]+3*x[41]+2*x[43]+2*x[46]+3*x[47]+x[50]+4*x[51]+x[54]+3*x[55]+2*x[58]+x[61]+4*x[65]+4*x[68]+7*x[69]+2*x[72]+5*x[75]+x[79]+4*x[85]+x[86]+2*x[88]+x[91])*q^19 + (x[35]+x[38]+x[39]+x[42]+x[44]+4*x[45]+2*x[48]+2*x[49]+3*x[52]+4*x[53]+2*x[56]+x[57]+2*x[59]+2*x[60]+3*x[63]+2*x[64]+x[66]+6*x[67]+3*x[70]+5*x[71]+5*x[73]+3*x[74]+4*x[76]+x[78]+x[80]+2*x[83]+3*x[84]+4*x[87]+x[89]+2*x[90]+x[93])*q^18 + (x[40]+2*x[41]+2*x[43]+2*x[46]+3*x[47]+x[50]+4*x[51]+x[54]+4*x[55]+3*x[58]+2*x[61]+3*x[65]+4*x[68]+8*x[69]+3*x[72]+7*x[75]+2*x[79]+5*x[85]+2*x[86]+4*x[88]+2*x[91]+x[95])*q^17 + (x[38]+x[42]+x[44]+3*x[45]+2*x[48]+x[49]+3*x[52]+4*x[53]+2*x[56]+2*x[57]+3*x[59]+3*x[60]+2*x[63]+2*x[64]+x[66]+5*x[67]+3*x[70]+6*x[71]+6*x[73]+3*x[74]+5*x[76]+x[77]+2*x[78]+2*x[80]+2*x[83]+4*x[84]+5*x[87]+x[89]+4*x[90]+x[93]+x[94]+x[96])*q^16 + (x[40]+x[41]+x[43]+x[46]+3*x[47]+3*x[51]+x[54]+4*x[55]+4*x[58]+3*x[61]+2*x[65]+3*x[68]+7*x[69]+4*x[72]+8*x[75]+3*x[79]+6*x[85]+2*x[86]+5*x[88]+3*x[91]+x[92]+2*x[95])*q^15 + (x[44]+2*x[45]+2*x[48]+x[49]+2*x[52]+3*x[53]+2*x[56]+2*x[57]+3*x[59]+3*x[60]+x[63]+x[64]+4*x[67]+3*x[70]+5*x[71]+5*x[73]+3*x[74]+6*x[76]+x[77]+2*x[78]+4*x[80]+x[83]+4*x[84]+6*x[87]+2*x[89]+5*x[90]+2*x[93]+x[94]+x[96]+x[97])*q^14 + (x[43]+x[46]+2*x[47]+2*x[51]+x[54]+3*x[55]+3*x[58]+3*x[61]+x[65]+2*x[68]+5*x[69]+4*x[72]+7*x[75]+5*x[79]+5*x[85]+2*x[86]+6*x[88]+4*x[91]+x[92]+3*x[95])*q^13 + (x[45]+x[48]+x[52]+2*x[53]+x[56]+2*x[57]+3*x[59]+3*x[60]+x[64]+2*x[67]+2*x[70]+4*x[71]+4*x[73]+2*x[74]+5*x[76]+x[77]+2*x[78]+4*x[80]+x[81]+x[82]+x[83]+3*x[84]+5*x[87]+2*x[89]+6*x[90]+2*x[93]+2*x[94]+2*x[96]+x[97])*q^12 + (x[47]+x[51]+2*x[55]+2*x[58]+3*x[61]+x[68]+3*x[69]+3*x[72]+5*x[75]+5*x[79]+4*x[85]+x[86]+5*x[88]+4*x[91]+2*x[92]+4*x[95])*q^11 + (x[48]+x[53]+x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+x[74]+4*x[76]+x[78]+4*x[80]+x[81]+x[82]+2*x[84]+4*x[87]+2*x[89]+5*x[90]+2*x[93]+2*x[94]+2*x[96]+2*x[97]+x[98])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+3*x[75]+4*x[79]+2*x[85]+x[86]+4*x[88]+3*x[91]+2*x[92]+4*x[95]+x[99])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+3*x[80]+x[81]+x[82]+x[84]+2*x[87]+x[89]+4*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #28.1 : c = () |O_x_c^F| = q^18*(q^8-1)*(q^12-1)*(q^14-1) Qxc[D8,28,1] = (x[33])*q^30 + (x[36])*q^29 + (x[34]+x[38]+x[62])*q^28 + (x[36]+x[40]+x[41]+x[65])*q^27 + (x[34]+x[35]+x[38]+x[39]+x[45]+x[49]+x[62]+x[63]+x[67])*q^26 + (x[36]+x[37]+x[40]+2*x[41]+x[43]+x[46]+x[51]+2*x[65]+x[68]+x[69])*q^25 + (x[34]+x[35]+2*x[38]+x[39]+x[42]+2*x[45]+x[49]+x[52]+x[53]+x[62]+2*x[63]+x[64]+x[66]+2*x[67]+x[71]+x[73]+x[83])*q^24 + (x[36]+2*x[40]+3*x[41]+x[43]+x[46]+x[47]+x[50]+2*x[51]+x[55]+3*x[65]+2*x[68]+3*x[69]+x[75]+x[85])*q^23 + (x[34]+x[35]+2*x[38]+x[39]+x[42]+x[44]+3*x[45]+x[48]+2*x[49]+2*x[52]+2*x[53]+x[56]+x[62]+3*x[63]+x[64]+x[66]+4*x[67]+x[70]+2*x[71]+2*x[73]+x[74]+x[76]+x[83]+x[84]+x[87])*q^22 + (x[36]+2*x[40]+3*x[41]+2*x[43]+2*x[46]+2*x[47]+x[50]+3*x[51]+x[54]+2*x[55]+x[58]+4*x[65]+3*x[68]+5*x[69]+x[72]+3*x[75]+2*x[85]+x[86]+x[88])*q^21 + (x[35]+2*x[38]+x[39]+2*x[42]+x[44]+4*x[45]+x[48]+2*x[49]+3*x[52]+3*x[53]+x[56]+x[57]+x[59]+x[60]+x[62]+3*x[63]+2*x[64]+x[66]+5*x[67]+2*x[70]+4*x[71]+4*x[73]+2*x[74]+2*x[76]+x[78]+2*x[83]+2*x[84]+2*x[87]+x[90])*q^20 + (2*x[40]+3*x[41]+2*x[43]+2*x[46]+3*x[47]+x[50]+4*x[51]+x[54]+3*x[55]+2*x[58]+x[61]+4*x[65]+4*x[68]+7*x[69]+2*x[72]+5*x[75]+x[79]+4*x[85]+x[86]+2*x[88]+x[91])*q^19 + (x[35]+x[38]+x[39]+x[42]+x[44]+4*x[45]+2*x[48]+2*x[49]+3*x[52]+4*x[53]+2*x[56]+x[57]+2*x[59]+2*x[60]+3*x[63]+2*x[64]+x[66]+6*x[67]+3*x[70]+5*x[71]+5*x[73]+3*x[74]+4*x[76]+x[78]+x[80]+2*x[83]+3*x[84]+4*x[87]+x[89]+2*x[90]+x[93])*q^18 + (x[40]+2*x[41]+2*x[43]+2*x[46]+3*x[47]+x[50]+4*x[51]+x[54]+4*x[55]+3*x[58]+2*x[61]+3*x[65]+4*x[68]+8*x[69]+3*x[72]+7*x[75]+2*x[79]+5*x[85]+2*x[86]+4*x[88]+2*x[91]+x[95])*q^17 + (x[38]+x[42]+x[44]+3*x[45]+2*x[48]+x[49]+3*x[52]+4*x[53]+2*x[56]+2*x[57]+3*x[59]+3*x[60]+2*x[63]+2*x[64]+x[66]+5*x[67]+3*x[70]+6*x[71]+6*x[73]+3*x[74]+5*x[76]+x[77]+2*x[78]+2*x[80]+2*x[83]+4*x[84]+5*x[87]+x[89]+4*x[90]+x[93]+x[94]+x[96])*q^16 + (x[40]+x[41]+x[43]+x[46]+3*x[47]+3*x[51]+x[54]+4*x[55]+4*x[58]+3*x[61]+2*x[65]+3*x[68]+7*x[69]+4*x[72]+8*x[75]+3*x[79]+6*x[85]+2*x[86]+5*x[88]+3*x[91]+x[92]+2*x[95])*q^15 + (x[44]+2*x[45]+2*x[48]+x[49]+2*x[52]+3*x[53]+2*x[56]+2*x[57]+3*x[59]+3*x[60]+x[63]+x[64]+4*x[67]+3*x[70]+5*x[71]+5*x[73]+3*x[74]+6*x[76]+x[77]+2*x[78]+4*x[80]+x[83]+4*x[84]+6*x[87]+2*x[89]+5*x[90]+2*x[93]+x[94]+x[96]+x[97])*q^14 + (x[43]+x[46]+2*x[47]+2*x[51]+x[54]+3*x[55]+3*x[58]+3*x[61]+x[65]+2*x[68]+5*x[69]+4*x[72]+7*x[75]+5*x[79]+5*x[85]+2*x[86]+6*x[88]+4*x[91]+x[92]+3*x[95])*q^13 + (x[45]+x[48]+x[52]+2*x[53]+x[56]+2*x[57]+3*x[59]+3*x[60]+x[64]+2*x[67]+2*x[70]+4*x[71]+4*x[73]+2*x[74]+5*x[76]+x[77]+2*x[78]+4*x[80]+x[81]+x[82]+x[83]+3*x[84]+5*x[87]+2*x[89]+6*x[90]+2*x[93]+2*x[94]+2*x[96]+x[97])*q^12 + (x[47]+x[51]+2*x[55]+2*x[58]+3*x[61]+x[68]+3*x[69]+3*x[72]+5*x[75]+5*x[79]+4*x[85]+x[86]+5*x[88]+4*x[91]+2*x[92]+4*x[95])*q^11 + (x[48]+x[53]+x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+x[74]+4*x[76]+x[78]+4*x[80]+x[81]+x[82]+2*x[84]+4*x[87]+2*x[89]+5*x[90]+2*x[93]+2*x[94]+2*x[96]+2*x[97]+x[98])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+3*x[75]+4*x[79]+2*x[85]+x[86]+4*x[88]+3*x[91]+2*x[92]+4*x[95]+x[99])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+3*x[80]+x[81]+x[82]+x[84]+2*x[87]+x[89]+4*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #29 : [5, 2, 2, 1, 1, 1, 1, 1, 1, 1] dim = 68 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+2*V[5]+7*V[4]+2*V[3]+2*V[2]+14*V[1]+24*V[0] Z_G(x)_0 = O7+Sp2+O1 # Green Polys by orbit reps #29.1 : x[34] : [5, 2, 2, 1, 1, 1, 1, 1, 1, 1],[] : [[], [3, 2, 1, 1, 1]] Qxi[D8,29,1] = (x[34])*q^22 + (x[36]+x[41])*q^21 + (x[35]+x[38]+x[42]+x[45]+x[49]+x[62]+x[63])*q^20 + (x[40]+2*x[41]+x[43]+x[46]+x[47]+x[51]+2*x[65]+x[69])*q^19 + (x[35]+x[38]+x[39]+x[42]+x[44]+2*x[45]+x[48]+x[49]+x[52]+2*x[53]+2*x[63]+x[64]+2*x[67]+x[70]+x[71]+x[73]+x[83])*q^18 + (x[40]+2*x[41]+2*x[43]+x[46]+2*x[47]+x[50]+2*x[51]+2*x[55]+x[58]+2*x[65]+2*x[68]+4*x[69]+x[72]+x[75]+x[85])*q^17 + (x[38]+x[42]+x[44]+3*x[45]+x[48]+x[49]+2*x[52]+3*x[53]+x[56]+x[57]+x[59]+x[60]+2*x[63]+2*x[64]+x[66]+3*x[67]+2*x[70]+3*x[71]+3*x[73]+x[74]+2*x[76]+x[83]+2*x[84]+x[87])*q^16 + (x[40]+x[41]+x[43]+x[46]+3*x[47]+3*x[51]+x[54]+3*x[55]+2*x[58]+x[61]+2*x[65]+2*x[68]+6*x[69]+2*x[72]+4*x[75]+x[79]+3*x[85]+x[86]+2*x[88])*q^15 + (x[44]+2*x[45]+2*x[48]+x[49]+2*x[52]+3*x[53]+2*x[56]+2*x[57]+2*x[59]+2*x[60]+x[63]+x[64]+4*x[67]+3*x[70]+4*x[71]+4*x[73]+2*x[74]+4*x[76]+x[77]+x[78]+x[80]+x[83]+3*x[84]+3*x[87]+x[89]+2*x[90]+x[93])*q^14 + (x[43]+x[46]+2*x[47]+2*x[51]+x[54]+3*x[55]+3*x[58]+3*x[61]+x[65]+2*x[68]+5*x[69]+4*x[72]+6*x[75]+2*x[79]+4*x[85]+x[86]+4*x[88]+2*x[91]+x[95])*q^13 + (x[45]+x[48]+x[52]+2*x[53]+x[56]+2*x[57]+3*x[59]+3*x[60]+x[64]+2*x[67]+2*x[70]+4*x[71]+4*x[73]+2*x[74]+5*x[76]+x[77]+2*x[78]+3*x[80]+x[83]+3*x[84]+4*x[87]+2*x[89]+4*x[90]+x[93]+x[94]+x[96])*q^12 + (x[47]+x[51]+2*x[55]+2*x[58]+3*x[61]+x[68]+3*x[69]+3*x[72]+5*x[75]+5*x[79]+4*x[85]+x[86]+5*x[88]+3*x[91]+x[92]+2*x[95])*q^11 + (x[48]+x[53]+x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+x[74]+4*x[76]+x[78]+4*x[80]+x[81]+x[82]+2*x[84]+4*x[87]+2*x[89]+5*x[90]+2*x[93]+2*x[94]+x[96]+x[97])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+3*x[75]+4*x[79]+2*x[85]+x[86]+4*x[88]+3*x[91]+2*x[92]+4*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+3*x[80]+x[81]+x[82]+x[84]+2*x[87]+x[89]+4*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #29.1 : c = () |O_x_c^F| = q^18*(q^2+1)*(q^4+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,29,1] = (x[34])*q^22 + (x[36]+x[41])*q^21 + (x[35]+x[38]+x[42]+x[45]+x[49]+x[62]+x[63])*q^20 + (x[40]+2*x[41]+x[43]+x[46]+x[47]+x[51]+2*x[65]+x[69])*q^19 + (x[35]+x[38]+x[39]+x[42]+x[44]+2*x[45]+x[48]+x[49]+x[52]+2*x[53]+2*x[63]+x[64]+2*x[67]+x[70]+x[71]+x[73]+x[83])*q^18 + (x[40]+2*x[41]+2*x[43]+x[46]+2*x[47]+x[50]+2*x[51]+2*x[55]+x[58]+2*x[65]+2*x[68]+4*x[69]+x[72]+x[75]+x[85])*q^17 + (x[38]+x[42]+x[44]+3*x[45]+x[48]+x[49]+2*x[52]+3*x[53]+x[56]+x[57]+x[59]+x[60]+2*x[63]+2*x[64]+x[66]+3*x[67]+2*x[70]+3*x[71]+3*x[73]+x[74]+2*x[76]+x[83]+2*x[84]+x[87])*q^16 + (x[40]+x[41]+x[43]+x[46]+3*x[47]+3*x[51]+x[54]+3*x[55]+2*x[58]+x[61]+2*x[65]+2*x[68]+6*x[69]+2*x[72]+4*x[75]+x[79]+3*x[85]+x[86]+2*x[88])*q^15 + (x[44]+2*x[45]+2*x[48]+x[49]+2*x[52]+3*x[53]+2*x[56]+2*x[57]+2*x[59]+2*x[60]+x[63]+x[64]+4*x[67]+3*x[70]+4*x[71]+4*x[73]+2*x[74]+4*x[76]+x[77]+x[78]+x[80]+x[83]+3*x[84]+3*x[87]+x[89]+2*x[90]+x[93])*q^14 + (x[43]+x[46]+2*x[47]+2*x[51]+x[54]+3*x[55]+3*x[58]+3*x[61]+x[65]+2*x[68]+5*x[69]+4*x[72]+6*x[75]+2*x[79]+4*x[85]+x[86]+4*x[88]+2*x[91]+x[95])*q^13 + (x[45]+x[48]+x[52]+2*x[53]+x[56]+2*x[57]+3*x[59]+3*x[60]+x[64]+2*x[67]+2*x[70]+4*x[71]+4*x[73]+2*x[74]+5*x[76]+x[77]+2*x[78]+3*x[80]+x[83]+3*x[84]+4*x[87]+2*x[89]+4*x[90]+x[93]+x[94]+x[96])*q^12 + (x[47]+x[51]+2*x[55]+2*x[58]+3*x[61]+x[68]+3*x[69]+3*x[72]+5*x[75]+5*x[79]+4*x[85]+x[86]+5*x[88]+3*x[91]+x[92]+2*x[95])*q^11 + (x[48]+x[53]+x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+x[74]+4*x[76]+x[78]+4*x[80]+x[81]+x[82]+2*x[84]+4*x[87]+2*x[89]+5*x[90]+2*x[93]+2*x[94]+x[96]+x[97])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+3*x[75]+4*x[79]+2*x[85]+x[86]+4*x[88]+3*x[91]+2*x[92]+4*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+3*x[80]+x[81]+x[82]+x[84]+2*x[87]+x[89]+4*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #30 : [5, 2, 2, 2, 2, 1, 1, 1] dim = 76 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+4*V[5]+3*V[4]+4*V[3]+7*V[2]+12*V[1]+13*V[0] Z_G(x)_0 = Sp4+O3+O1 # Green Polys by orbit reps #30.1 : x[35] : [5, 2, 2, 2, 2, 1, 1, 1],[] : [[], [3, 2, 2, 1]] Qxi[D8,30,1] = (x[35])*q^18 + (x[41]+x[43])*q^17 + (x[38]+x[42]+x[44]+x[45]+x[53]+x[63]+x[64])*q^16 + (x[40]+x[41]+x[43]+2*x[47]+x[51]+x[55]+x[65]+2*x[69])*q^15 + (x[44]+2*x[45]+x[48]+x[49]+x[52]+2*x[53]+x[56]+x[57]+x[63]+x[64]+2*x[67]+2*x[70]+x[71]+x[73]+x[76]+x[84])*q^14 + (x[43]+x[46]+2*x[47]+2*x[51]+x[54]+2*x[55]+x[58]+x[61]+x[65]+x[68]+4*x[69]+2*x[72]+2*x[75]+x[85]+x[88])*q^13 + (x[45]+x[48]+x[52]+2*x[53]+x[56]+2*x[57]+2*x[59]+2*x[60]+x[64]+2*x[67]+2*x[70]+3*x[71]+3*x[73]+x[74]+3*x[76]+x[77]+x[78]+x[83]+2*x[84]+x[87]+x[89]+x[90])*q^12 + (x[47]+x[51]+2*x[55]+2*x[58]+3*x[61]+x[68]+3*x[69]+3*x[72]+4*x[75]+2*x[79]+3*x[85]+3*x[88]+x[91])*q^11 + (x[48]+x[53]+x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+x[74]+4*x[76]+x[78]+3*x[80]+2*x[84]+3*x[87]+2*x[89]+3*x[90]+x[93]+x[94])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+3*x[75]+4*x[79]+2*x[85]+x[86]+4*x[88]+2*x[91]+x[92]+2*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+3*x[80]+x[81]+x[82]+x[84]+2*x[87]+x[89]+4*x[90]+x[93]+2*x[94]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+3*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #30.1 : c = () |O_x_c^F| = q^20*(q^2-q+1)*(q^2+q+1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,30,1] = (x[35])*q^18 + (x[41]+x[43])*q^17 + (x[38]+x[42]+x[44]+x[45]+x[53]+x[63]+x[64])*q^16 + (x[40]+x[41]+x[43]+2*x[47]+x[51]+x[55]+x[65]+2*x[69])*q^15 + (x[44]+2*x[45]+x[48]+x[49]+x[52]+2*x[53]+x[56]+x[57]+x[63]+x[64]+2*x[67]+2*x[70]+x[71]+x[73]+x[76]+x[84])*q^14 + (x[43]+x[46]+2*x[47]+2*x[51]+x[54]+2*x[55]+x[58]+x[61]+x[65]+x[68]+4*x[69]+2*x[72]+2*x[75]+x[85]+x[88])*q^13 + (x[45]+x[48]+x[52]+2*x[53]+x[56]+2*x[57]+2*x[59]+2*x[60]+x[64]+2*x[67]+2*x[70]+3*x[71]+3*x[73]+x[74]+3*x[76]+x[77]+x[78]+x[83]+2*x[84]+x[87]+x[89]+x[90])*q^12 + (x[47]+x[51]+2*x[55]+2*x[58]+3*x[61]+x[68]+3*x[69]+3*x[72]+4*x[75]+2*x[79]+3*x[85]+3*x[88]+x[91])*q^11 + (x[48]+x[53]+x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+x[74]+4*x[76]+x[78]+3*x[80]+2*x[84]+3*x[87]+2*x[89]+3*x[90]+x[93]+x[94])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+3*x[75]+4*x[79]+2*x[85]+x[86]+4*x[88]+2*x[91]+x[92]+2*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+3*x[80]+x[81]+x[82]+x[84]+2*x[87]+x[89]+4*x[90]+x[93]+2*x[94]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+3*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #31 : [5, 3, 1, 1, 1, 1, 1, 1, 1, 1] dim = 70 A(O) = Z2 , |A(O)_0| = 2 g_s = 2*V[6]+9*V[4]+11*V[2]+28*V[0] Z_G(x)_0 = O8+2*O1 # Green Polys by orbit reps #31.1 : x[36] : [5, 3, 1, 1, 1, 1, 1, 1, 1, 1],[1] : [[1], [3, 1, 1, 1, 1]] Qxi[D8,31,1] = (x[36])*q^21 + (x[38]+x[49]+x[62])*q^20 + (x[40]+x[41]+x[51]+2*x[65])*q^19 + (x[38]+x[39]+x[45]+x[49]+x[52]+x[53]+x[63]+2*x[67]+x[73]+x[83])*q^18 + (x[40]+x[41]+x[43]+x[46]+x[50]+2*x[51]+x[55]+x[58]+2*x[65]+2*x[68]+2*x[69]+x[75]+x[85])*q^17 + (x[38]+2*x[45]+x[49]+2*x[52]+2*x[53]+x[56]+x[59]+x[60]+x[63]+x[64]+x[66]+3*x[67]+2*x[71]+3*x[73]+x[74]+x[76]+x[83]+x[84]+x[87])*q^16 + (x[40]+x[41]+x[46]+x[47]+3*x[51]+x[54]+2*x[55]+2*x[58]+x[61]+2*x[65]+2*x[68]+4*x[69]+4*x[75]+x[79]+3*x[85]+x[86]+x[88])*q^15 + (2*x[45]+x[48]+x[49]+2*x[52]+2*x[53]+2*x[56]+x[57]+2*x[59]+2*x[60]+x[63]+4*x[67]+x[70]+3*x[71]+4*x[73]+2*x[74]+3*x[76]+x[78]+x[80]+x[83]+2*x[84]+3*x[87]+2*x[90]+x[93])*q^14 + (x[43]+x[46]+x[47]+2*x[51]+x[54]+3*x[55]+3*x[58]+2*x[61]+x[65]+2*x[68]+4*x[69]+2*x[72]+6*x[75]+2*x[79]+4*x[85]+x[86]+3*x[88]+2*x[91]+x[95])*q^13 + (x[45]+x[48]+x[52]+2*x[53]+x[56]+x[57]+3*x[59]+3*x[60]+x[64]+2*x[67]+x[70]+4*x[71]+4*x[73]+2*x[74]+4*x[76]+2*x[78]+3*x[80]+x[83]+2*x[84]+4*x[87]+x[89]+4*x[90]+x[93]+x[94]+x[96])*q^12 + (x[47]+x[51]+2*x[55]+2*x[58]+3*x[61]+x[68]+3*x[69]+2*x[72]+5*x[75]+5*x[79]+4*x[85]+x[86]+4*x[88]+3*x[91]+x[92]+2*x[95])*q^11 + (x[48]+x[53]+x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+x[74]+4*x[76]+x[78]+4*x[80]+x[81]+x[82]+2*x[84]+4*x[87]+x[89]+5*x[90]+2*x[93]+x[94]+x[96]+x[97])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+3*x[75]+4*x[79]+2*x[85]+x[86]+4*x[88]+3*x[91]+2*x[92]+4*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+3*x[80]+x[81]+x[82]+x[84]+2*x[87]+x[89]+4*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+3*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #31.2 : x[37] : [5, 3, 1, 1, 1, 1, 1, 1, 1, 1],[-1] : [[3], [1, 1, 1, 1, 1]] Qxi[D8,31,2] = (x[37])*q^21 + (x[39]+x[66])*q^20 + (x[40]+x[50]+x[68])*q^19 + (x[38]+x[39]+x[52]+x[66]+x[67]+x[74])*q^18 + (x[40]+x[46]+x[50]+x[51]+x[54]+x[65]+2*x[68]+x[75]+x[86])*q^17 + (x[39]+x[45]+2*x[52]+x[56]+x[66]+2*x[67]+x[71]+x[73]+2*x[74]+x[78]+x[87])*q^16 + (x[40]+x[46]+x[50]+x[51]+x[54]+x[55]+x[58]+3*x[68]+x[69]+3*x[75]+x[85]+x[86]+x[91])*q^15 + (x[45]+2*x[52]+x[56]+x[59]+x[60]+x[66]+2*x[67]+2*x[71]+x[73]+3*x[74]+x[76]+x[78]+x[80]+2*x[87]+x[90])*q^14 + (x[46]+x[51]+x[54]+x[55]+x[58]+x[61]+2*x[68]+x[69]+4*x[75]+x[79]+x[85]+2*x[86]+x[88]+2*x[91])*q^13 + (x[48]+x[52]+x[56]+x[59]+x[60]+x[67]+2*x[71]+x[73]+2*x[74]+x[76]+2*x[78]+2*x[80]+3*x[87]+2*x[90]+x[96])*q^12 + (x[55]+x[58]+x[61]+x[68]+x[72]+3*x[75]+x[79]+x[85]+x[86]+x[88]+3*x[91]+x[92]+x[95])*q^11 + (x[59]+x[60]+x[71]+x[74]+x[76]+x[78]+2*x[80]+2*x[87]+2*x[90]+x[96]+x[97])*q^10 + (x[75]+2*x[79]+x[86]+x[88]+2*x[91]+x[92]+x[95])*q^9 + (x[80]+x[81]+x[82]+x[87]+x[90]+x[96]+x[97])*q^8 + (x[91]+x[92]+x[95])*q^7 + (x[96]+x[97])*q^6 + (x[99])*q^5 # Green Polys by conj class in A(O) #31.1 : c = () |O_x_c^F| = 1/2*q^22*(q^4+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,31,1] = (x[36]+x[37])*q^21 + (x[38]+x[39]+x[49]+x[62]+x[66])*q^20 + (2*x[40]+x[41]+x[50]+x[51]+2*x[65]+x[68])*q^19 + (2*x[38]+2*x[39]+x[45]+x[49]+2*x[52]+x[53]+x[63]+x[66]+3*x[67]+x[73]+x[74]+x[83])*q^18 + (2*x[40]+x[41]+x[43]+2*x[46]+2*x[50]+3*x[51]+x[54]+x[55]+x[58]+3*x[65]+4*x[68]+2*x[69]+2*x[75]+x[85]+x[86])*q^17 + (x[38]+x[39]+3*x[45]+x[49]+4*x[52]+2*x[53]+2*x[56]+x[59]+x[60]+x[63]+x[64]+2*x[66]+5*x[67]+3*x[71]+4*x[73]+3*x[74]+x[76]+x[78]+x[83]+x[84]+2*x[87])*q^16 + (2*x[40]+x[41]+2*x[46]+x[47]+x[50]+4*x[51]+2*x[54]+3*x[55]+3*x[58]+x[61]+2*x[65]+5*x[68]+5*x[69]+7*x[75]+x[79]+4*x[85]+2*x[86]+x[88]+x[91])*q^15 + (3*x[45]+x[48]+x[49]+4*x[52]+2*x[53]+3*x[56]+x[57]+3*x[59]+3*x[60]+x[63]+x[66]+6*x[67]+x[70]+5*x[71]+5*x[73]+5*x[74]+4*x[76]+2*x[78]+2*x[80]+x[83]+2*x[84]+5*x[87]+3*x[90]+x[93])*q^14 + (x[43]+2*x[46]+x[47]+3*x[51]+2*x[54]+4*x[55]+4*x[58]+3*x[61]+x[65]+4*x[68]+5*x[69]+2*x[72]+10*x[75]+3*x[79]+5*x[85]+3*x[86]+4*x[88]+4*x[91]+x[95])*q^13 + (x[45]+2*x[48]+2*x[52]+2*x[53]+2*x[56]+x[57]+4*x[59]+4*x[60]+x[64]+3*x[67]+x[70]+6*x[71]+5*x[73]+4*x[74]+5*x[76]+4*x[78]+5*x[80]+x[83]+2*x[84]+7*x[87]+x[89]+6*x[90]+x[93]+x[94]+2*x[96])*q^12 + (x[47]+x[51]+3*x[55]+3*x[58]+4*x[61]+2*x[68]+3*x[69]+3*x[72]+8*x[75]+6*x[79]+5*x[85]+2*x[86]+5*x[88]+6*x[91]+2*x[92]+3*x[95])*q^11 + (x[48]+x[53]+x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+3*x[71]+2*x[73]+2*x[74]+5*x[76]+2*x[78]+6*x[80]+x[81]+x[82]+2*x[84]+6*x[87]+x[89]+7*x[90]+2*x[93]+x[94]+2*x[96]+2*x[97])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+2*x[86]+5*x[88]+5*x[91]+3*x[92]+5*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+3*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+3*x[96]+3*x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+4*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+2*x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+2*x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #31.2 : c = (1) |O_x_c^F| = 1/2*q^22*(q^4-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,31,2] = (x[36]-x[37])*q^21 + (x[38]-x[39]+x[49]+x[62]-x[66])*q^20 + (x[41]-x[50]+x[51]+2*x[65]-x[68])*q^19 + (x[45]+x[49]+x[53]+x[63]-x[66]+x[67]+x[73]-x[74]+x[83])*q^18 + (x[41]+x[43]+x[51]-x[54]+x[55]+x[58]+x[65]+2*x[69]+x[85]-x[86])*q^17 + (x[38]-x[39]+x[45]+x[49]+2*x[53]+x[59]+x[60]+x[63]+x[64]+x[67]+x[71]+2*x[73]-x[74]+x[76]-x[78]+x[83]+x[84])*q^16 + (x[41]+x[47]-x[50]+2*x[51]+x[55]+x[58]+x[61]+2*x[65]-x[68]+3*x[69]+x[75]+x[79]+2*x[85]+x[88]-x[91])*q^15 + (x[45]+x[48]+x[49]+2*x[53]+x[56]+x[57]+x[59]+x[60]+x[63]-x[66]+2*x[67]+x[70]+x[71]+3*x[73]-x[74]+2*x[76]+x[83]+2*x[84]+x[87]+x[90]+x[93])*q^14 + (x[43]+x[47]+x[51]+2*x[55]+2*x[58]+x[61]+x[65]+3*x[69]+2*x[72]+2*x[75]+x[79]+3*x[85]-x[86]+2*x[88]+x[95])*q^13 + (x[45]+2*x[53]+x[57]+2*x[59]+2*x[60]+x[64]+x[67]+x[70]+2*x[71]+3*x[73]+3*x[76]+x[80]+x[83]+2*x[84]+x[87]+x[89]+2*x[90]+x[93]+x[94])*q^12 + (x[47]+x[51]+x[55]+x[58]+2*x[61]+3*x[69]+x[72]+2*x[75]+4*x[79]+3*x[85]+3*x[88]+x[95])*q^11 + (x[48]+x[53]+x[56]+x[57]+x[59]+x[60]+x[67]+x[70]+x[71]+2*x[73]+3*x[76]+2*x[80]+x[81]+x[82]+2*x[84]+2*x[87]+x[89]+3*x[90]+2*x[93]+x[94])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+2*x[75]+2*x[79]+2*x[85]+3*x[88]+x[91]+x[92]+3*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+2*x[80]+x[84]+x[87]+x[89]+3*x[90]+x[93]+2*x[94]+x[96]+x[97]+x[98])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+x[91]+x[92]+2*x[95]+x[99])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #32 : [5, 3, 2, 2, 1, 1, 1, 1] dim = 80 A(O) = Z2 , |A(O)_0| = 2 g_s = 2*V[6]+2*V[5]+5*V[4]+4*V[3]+8*V[2]+10*V[1]+9*V[0] Z_G(x)_0 = O4+Sp2+2*O1 # Green Polys by orbit reps #32.1 : x[38] : [5, 3, 2, 2, 1, 1, 1, 1],[1] : [[1, 1], [3, 1, 1, 1]] Qxi[D8,32,1] = (x[38])*q^16 + (x[40]+x[41]+x[51]+x[65])*q^15 + (2*x[45]+x[49]+x[52]+x[53]+x[56]+x[63]+2*x[67]+x[73])*q^14 + (x[43]+x[46]+x[47]+2*x[51]+x[54]+2*x[55]+x[58]+x[65]+x[68]+3*x[69]+2*x[75]+x[85])*q^13 + (x[45]+x[48]+x[52]+2*x[53]+x[56]+x[57]+2*x[59]+2*x[60]+x[64]+2*x[67]+x[70]+3*x[71]+3*x[73]+x[74]+2*x[76]+x[78]+x[83]+x[84]+x[87]+x[90])*q^12 + (x[47]+x[51]+2*x[55]+2*x[58]+3*x[61]+x[68]+3*x[69]+2*x[72]+4*x[75]+2*x[79]+3*x[85]+2*x[88]+x[91])*q^11 + (x[48]+x[53]+x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+x[74]+4*x[76]+x[78]+3*x[80]+2*x[84]+3*x[87]+x[89]+3*x[90]+x[93])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+3*x[75]+4*x[79]+2*x[85]+x[86]+4*x[88]+2*x[91]+x[92]+2*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+3*x[80]+x[81]+x[82]+x[84]+2*x[87]+x[89]+4*x[90]+x[93]+2*x[94]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+3*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #32.2 : x[39] : [5, 3, 2, 2, 1, 1, 1, 1],[-1] : [[3, 1], [1, 1, 1, 1]] Qxi[D8,32,2] = (x[39])*q^16 + (x[40]+x[46]+x[50]+x[68])*q^15 + (x[45]+2*x[52]+x[66]+x[67]+x[71]+x[74])*q^14 + (x[46]+x[51]+x[54]+x[55]+x[58]+2*x[68]+x[69]+2*x[75]+x[86])*q^13 + (x[48]+x[52]+x[56]+x[59]+x[60]+x[67]+2*x[71]+x[73]+2*x[74]+x[76]+x[78]+x[80]+2*x[87])*q^12 + (x[55]+x[58]+x[61]+x[68]+x[72]+3*x[75]+x[79]+x[85]+x[86]+x[88]+2*x[91])*q^11 + (x[59]+x[60]+x[71]+x[74]+x[76]+x[78]+2*x[80]+2*x[87]+2*x[90]+x[96])*q^10 + (x[75]+2*x[79]+x[86]+x[88]+2*x[91]+x[92]+x[95])*q^9 + (x[80]+x[81]+x[82]+x[87]+x[90]+x[96]+x[97])*q^8 + (x[91]+x[92]+x[95])*q^7 + (x[96]+x[97])*q^6 + (x[99])*q^5 # Green Polys by conj class in A(O) #32.1 : c = () |O_x_c^F| = 1/2*q^22*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,32,1] = (x[38]+x[39])*q^16 + (2*x[40]+x[41]+x[46]+x[50]+x[51]+x[65]+x[68])*q^15 + (3*x[45]+x[49]+3*x[52]+x[53]+x[56]+x[63]+x[66]+3*x[67]+x[71]+x[73]+x[74])*q^14 + (x[43]+2*x[46]+x[47]+3*x[51]+2*x[54]+3*x[55]+2*x[58]+x[65]+3*x[68]+4*x[69]+4*x[75]+x[85]+x[86])*q^13 + (x[45]+2*x[48]+2*x[52]+2*x[53]+2*x[56]+x[57]+3*x[59]+3*x[60]+x[64]+3*x[67]+x[70]+5*x[71]+4*x[73]+3*x[74]+3*x[76]+2*x[78]+x[80]+x[83]+x[84]+3*x[87]+x[90])*q^12 + (x[47]+x[51]+3*x[55]+3*x[58]+4*x[61]+2*x[68]+3*x[69]+3*x[72]+7*x[75]+3*x[79]+4*x[85]+x[86]+3*x[88]+3*x[91])*q^11 + (x[48]+x[53]+x[56]+x[57]+3*x[59]+3*x[60]+x[67]+x[70]+3*x[71]+2*x[73]+2*x[74]+5*x[76]+2*x[78]+5*x[80]+2*x[84]+5*x[87]+x[89]+5*x[90]+x[93]+x[96])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+4*x[75]+6*x[79]+2*x[85]+2*x[86]+5*x[88]+4*x[91]+2*x[92]+3*x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+4*x[80]+2*x[81]+2*x[82]+x[84]+3*x[87]+x[89]+5*x[90]+x[93]+2*x[94]+2*x[96]+2*x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+3*x[91]+3*x[92]+4*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+2*x[96]+3*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+2*x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #32.2 : c = (1) |O_x_c^F| = 1/2*q^22*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,32,2] = (x[38]-x[39])*q^16 + (x[41]-x[46]-x[50]+x[51]+x[65]-x[68])*q^15 + (x[45]+x[49]-x[52]+x[53]+x[56]+x[63]-x[66]+x[67]-x[71]+x[73]-x[74])*q^14 + (x[43]+x[47]+x[51]+x[55]+x[65]-x[68]+2*x[69]+x[85]-x[86])*q^13 + (x[45]+2*x[53]+x[57]+x[59]+x[60]+x[64]+x[67]+x[70]+x[71]+2*x[73]-x[74]+x[76]-x[80]+x[83]+x[84]-x[87]+x[90])*q^12 + (x[47]+x[51]+x[55]+x[58]+2*x[61]+3*x[69]+x[72]+x[75]+x[79]+2*x[85]-x[86]+x[88]-x[91])*q^11 + (x[48]+x[53]+x[56]+x[57]+x[59]+x[60]+x[67]+x[70]+x[71]+2*x[73]+3*x[76]+x[80]+2*x[84]+x[87]+x[89]+x[90]+x[93]-x[96])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+2*x[75]+2*x[79]+2*x[85]+3*x[88]+x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+2*x[80]+x[84]+x[87]+x[89]+3*x[90]+x[93]+2*x[94])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+x[91]+x[92]+2*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #33 : [5, 3, 2, 2, 2, 2] dim = 82 A(O) = 1 , |A(O)_0| = 1 g_s = 2*V[6]+4*V[5]+V[4]+8*V[3]+9*V[2]+4*V[1]+10*V[0] Z_G(x)_0 = Sp4+2*O1 # Green Polys by orbit reps #33.1 : x[40] : [5, 3, 2, 2, 2, 2],[] : [[1, 1, 1], [3, 1, 1]] Qxi[D8,33,1] = (x[40])*q^15 + (x[45]+x[52]+x[67])*q^14 + (x[43]+x[46]+x[51]+x[54]+x[55]+x[68]+x[69]+x[75])*q^13 + (x[45]+x[48]+x[52]+x[53]+x[56]+x[59]+x[60]+x[64]+x[67]+2*x[71]+x[73]+x[74]+x[76]+x[78]+x[87])*q^12 + (x[47]+x[51]+2*x[55]+x[58]+2*x[61]+x[68]+2*x[69]+x[72]+3*x[75]+x[79]+x[85]+x[88]+x[91])*q^11 + (x[48]+x[53]+x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+2*x[71]+x[73]+x[74]+3*x[76]+x[78]+2*x[80]+x[84]+2*x[87]+2*x[90])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+3*x[75]+3*x[79]+x[85]+x[86]+3*x[88]+2*x[91]+x[92]+x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+3*x[80]+x[81]+x[82]+x[84]+2*x[87]+x[89]+3*x[90]+x[94]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+2*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #33.1 : c = () |O_x_c^F| = q^24*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,33,1] = (x[40])*q^15 + (x[45]+x[52]+x[67])*q^14 + (x[43]+x[46]+x[51]+x[54]+x[55]+x[68]+x[69]+x[75])*q^13 + (x[45]+x[48]+x[52]+x[53]+x[56]+x[59]+x[60]+x[64]+x[67]+2*x[71]+x[73]+x[74]+x[76]+x[78]+x[87])*q^12 + (x[47]+x[51]+2*x[55]+x[58]+2*x[61]+x[68]+2*x[69]+x[72]+3*x[75]+x[79]+x[85]+x[88]+x[91])*q^11 + (x[48]+x[53]+x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+2*x[71]+x[73]+x[74]+3*x[76]+x[78]+2*x[80]+x[84]+2*x[87]+2*x[90])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+3*x[75]+3*x[79]+x[85]+x[86]+3*x[88]+2*x[91]+x[92]+x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+3*x[80]+x[81]+x[82]+x[84]+2*x[87]+x[89]+3*x[90]+x[94]+x[96]+x[97])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+2*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #34 : [5, 3, 3, 1, 1, 1, 1, 1] dim = 82 A(O) = Z2 , |A(O)_0| = 2 g_s = 3*V[6]+8*V[4]+16*V[2]+11*V[0] Z_G(x)_0 = O5+O2+O1 # Green Polys by orbit reps #34.1 : x[41] : [5, 3, 3, 1, 1, 1, 1, 1],[1] : [[1], [3, 2, 1, 1]] Qxi[D8,34,1] = (x[41])*q^15 + (x[45]+x[49]+x[53]+x[63])*q^14 + (x[43]+x[46]+x[47]+x[51]+x[55]+x[58]+x[65]+2*x[69])*q^13 + (x[45]+x[48]+x[52]+2*x[53]+x[57]+x[59]+x[60]+x[64]+x[67]+x[70]+2*x[71]+2*x[73]+x[76]+x[83]+x[84])*q^12 + (x[47]+x[51]+2*x[55]+2*x[58]+2*x[61]+x[68]+3*x[69]+2*x[72]+2*x[75]+x[79]+2*x[85]+x[88])*q^11 + (x[48]+x[53]+x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+2*x[71]+2*x[73]+x[74]+4*x[76]+2*x[80]+2*x[84]+2*x[87]+x[89]+x[90]+x[93])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+3*x[75]+4*x[79]+2*x[85]+x[86]+4*x[88]+x[91]+x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+3*x[80]+x[81]+x[82]+x[84]+2*x[87]+x[89]+4*x[90]+x[93]+2*x[94]+x[96])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+3*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #34.2 : x[42] : [5, 3, 3, 1, 1, 1, 1, 1],[-1] : [[], [3, 3, 1, 1]] Qxi[D8,34,2] = (x[42])*q^15 + (x[47])*q^14 + (x[44]+x[48]+x[70])*q^13 + (x[47]+x[72])*q^12 + (x[57]+x[70]+x[77])*q^11 + (x[72])*q^10 + (x[89])*q^9 # Green Polys by conj class in A(O) #34.1 : c = () |O_x_c^F| = 1/2*q^25*(q^2+q+1)*(q^3+1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,34,1] = (x[41]+x[42])*q^15 + (x[45]+x[47]+x[49]+x[53]+x[63])*q^14 + (x[43]+x[44]+x[46]+x[47]+x[48]+x[51]+x[55]+x[58]+x[65]+2*x[69]+x[70])*q^13 + (x[45]+x[47]+x[48]+x[52]+2*x[53]+x[57]+x[59]+x[60]+x[64]+x[67]+x[70]+2*x[71]+x[72]+2*x[73]+x[76]+x[83]+x[84])*q^12 + (x[47]+x[51]+2*x[55]+x[57]+2*x[58]+2*x[61]+x[68]+3*x[69]+x[70]+2*x[72]+2*x[75]+x[77]+x[79]+2*x[85]+x[88])*q^11 + (x[48]+x[53]+x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+2*x[71]+x[72]+2*x[73]+x[74]+4*x[76]+2*x[80]+2*x[84]+2*x[87]+x[89]+x[90]+x[93])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+3*x[75]+4*x[79]+2*x[85]+x[86]+4*x[88]+x[89]+x[91]+x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+3*x[80]+x[81]+x[82]+x[84]+2*x[87]+x[89]+4*x[90]+x[93]+2*x[94]+x[96])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+3*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #34.2 : c = (1) |O_x_c^F| = 1/2*q^25*(q^2-q+1)*(q^3-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,34,2] = (x[41]-x[42])*q^15 + (x[45]-x[47]+x[49]+x[53]+x[63])*q^14 + (x[43]-x[44]+x[46]+x[47]-x[48]+x[51]+x[55]+x[58]+x[65]+2*x[69]-x[70])*q^13 + (x[45]-x[47]+x[48]+x[52]+2*x[53]+x[57]+x[59]+x[60]+x[64]+x[67]+x[70]+2*x[71]-x[72]+2*x[73]+x[76]+x[83]+x[84])*q^12 + (x[47]+x[51]+2*x[55]-x[57]+2*x[58]+2*x[61]+x[68]+3*x[69]-x[70]+2*x[72]+2*x[75]-x[77]+x[79]+2*x[85]+x[88])*q^11 + (x[48]+x[53]+x[56]+x[57]+2*x[59]+2*x[60]+x[67]+x[70]+2*x[71]-x[72]+2*x[73]+x[74]+4*x[76]+2*x[80]+2*x[84]+2*x[87]+x[89]+x[90]+x[93])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+3*x[75]+4*x[79]+2*x[85]+x[86]+4*x[88]-x[89]+x[91]+x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+3*x[80]+x[81]+x[82]+x[84]+2*x[87]+x[89]+4*x[90]+x[93]+2*x[94]+x[96])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+3*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #35 : [5, 3, 3, 2, 2, 1] dim = 86 A(O) = Z2 , |A(O)_0| = 2 g_s = 3*V[6]+2*V[5]+4*V[4]+6*V[3]+9*V[2]+6*V[1]+4*V[0] Z_G(x)_0 = Sp2+O2+2*O1 # Green Polys by orbit reps #35.1 : x[43] : [5, 3, 3, 2, 2, 1],[1] : [[1], [3, 2, 2]] Qxi[D8,35,1] = (x[43])*q^13 + (x[45]+x[53]+x[64])*q^12 + (x[47]+x[51]+x[55]+x[61]+2*x[69])*q^11 + (x[48]+x[53]+x[56]+x[57]+x[59]+x[60]+x[67]+x[70]+x[71]+x[73]+2*x[76]+x[84])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+2*x[75]+x[79]+x[85]+2*x[88])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+2*x[80]+x[84]+x[87]+x[89]+2*x[90]+x[94])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+x[91]+x[92]+x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #35.2 : x[44] : [5, 3, 3, 2, 2, 1],[-1] : [[], [3, 3, 2]] Qxi[D8,35,2] = (x[44])*q^13 + (x[47])*q^12 + (x[57]+x[70])*q^11 + (x[72])*q^10 + (x[89])*q^9 # Green Polys by conj class in A(O) #35.1 : c = () |O_x_c^F| = 1/2*q^25*(q+1)*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,35,1] = (x[43]+x[44])*q^13 + (x[45]+x[47]+x[53]+x[64])*q^12 + (x[47]+x[51]+x[55]+x[57]+x[61]+2*x[69]+x[70])*q^11 + (x[48]+x[53]+x[56]+x[57]+x[59]+x[60]+x[67]+x[70]+x[71]+x[72]+x[73]+2*x[76]+x[84])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+2*x[75]+x[79]+x[85]+2*x[88]+x[89])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+2*x[80]+x[84]+x[87]+x[89]+2*x[90]+x[94])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+x[91]+x[92]+x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #35.2 : c = (1) |O_x_c^F| = 1/2*q^25*(q-1)*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,35,2] = (x[43]-x[44])*q^13 + (x[45]-x[47]+x[53]+x[64])*q^12 + (x[47]+x[51]+x[55]-x[57]+x[61]+2*x[69]-x[70])*q^11 + (x[48]+x[53]+x[56]+x[57]+x[59]+x[60]+x[67]+x[70]+x[71]-x[72]+x[73]+2*x[76]+x[84])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+2*x[75]+x[79]+x[85]+2*x[88]-x[89])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+2*x[80]+x[84]+x[87]+x[89]+2*x[90]+x[94])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+x[91]+x[92]+x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #36 : [5, 3, 3, 3, 1, 1] dim = 88 A(O) = Z2 , |A(O)_0| = 2 g_s = 4*V[6]+8*V[4]+16*V[2]+4*V[0] Z_G(x)_0 = O3+O2+O1 # Green Polys by orbit reps #36.1 : x[45] : [5, 3, 3, 3, 1, 1],[1] : [[1, 1], [3, 2, 1]] Qxi[D8,36,1] = (x[45])*q^12 + (x[47]+x[51]+x[55]+x[69])*q^11 + (x[48]+x[53]+x[56]+x[57]+x[59]+x[60]+x[67]+x[70]+x[71]+x[73]+x[76])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[72]+2*x[75]+x[79]+x[85]+x[88])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[78]+2*x[80]+x[84]+x[87]+x[89]+2*x[90])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+x[91]+x[92]+x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #36.2 : x[46] : [5, 3, 3, 3, 1, 1],[-1] : [[1, 1, 1], [3, 2]] Qxi[D8,36,2] = (x[46])*q^12 + (x[48]+x[52]+x[71])*q^11 + (x[55]+x[58]+x[68]+x[72]+x[75])*q^10 + (x[59]+x[60]+x[71]+x[74]+x[76]+x[80]+x[87])*q^9 + (x[75]+2*x[79]+x[86]+x[88]+x[91])*q^8 + (x[80]+x[81]+x[82]+x[87]+x[90]+x[96])*q^7 + (x[91]+x[92]+x[95])*q^6 + (x[96]+x[97])*q^5 + (x[99])*q^4 # Green Polys by conj class in A(O) #36.1 : c = () |O_x_c^F| = 1/2*q^27*(q+1)*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,36,1] = (x[45]+x[46])*q^12 + (x[47]+x[48]+x[51]+x[52]+x[55]+x[69]+x[71])*q^11 + (x[48]+x[53]+x[55]+x[56]+x[57]+x[58]+x[59]+x[60]+x[67]+x[68]+x[70]+x[71]+x[72]+x[73]+x[75]+x[76])*q^10 + (x[55]+x[58]+x[59]+x[60]+2*x[61]+x[69]+x[71]+2*x[72]+x[74]+2*x[75]+x[76]+x[79]+x[80]+x[85]+x[87]+x[88])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+x[75]+2*x[76]+x[77]+x[78]+2*x[79]+2*x[80]+x[84]+x[86]+x[87]+x[88]+x[89]+2*x[90]+x[91])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[80]+x[81]+x[82]+x[85]+x[87]+2*x[88]+x[90]+x[91]+x[92]+x[95]+x[96])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[91]+x[92]+x[93]+x[94]+x[95]+x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[96]+x[97])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98]+x[99])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #36.2 : c = (1) |O_x_c^F| = 1/2*q^27*(q-1)*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,36,2] = (x[45]-x[46])*q^12 + (x[47]-x[48]+x[51]-x[52]+x[55]+x[69]-x[71])*q^11 + (x[48]+x[53]-x[55]+x[56]+x[57]-x[58]+x[59]+x[60]+x[67]-x[68]+x[70]+x[71]-x[72]+x[73]-x[75]+x[76])*q^10 + (x[55]+x[58]-x[59]-x[60]+2*x[61]+x[69]-x[71]+2*x[72]-x[74]+2*x[75]-x[76]+x[79]-x[80]+x[85]-x[87]+x[88])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]-x[75]+2*x[76]+x[77]+x[78]-2*x[79]+2*x[80]+x[84]-x[86]+x[87]-x[88]+x[89]+2*x[90]-x[91])*q^8 + (x[61]+x[72]+x[75]+3*x[79]-x[80]-x[81]-x[82]+x[85]-x[87]+2*x[88]-x[90]+x[91]+x[92]+x[95]-x[96])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]-x[91]-x[92]+x[93]+x[94]-x[95]+x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]-x[96]-x[97])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98]-x[99])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #37 : [5, 4, 4, 1, 1, 1] dim = 90 A(O) = 1 , |A(O)_0| = 1 g_s = 2*V[7]+2*V[6]+2*V[5]+6*V[4]+8*V[3]+2*V[2]+2*V[1]+6*V[0] Z_G(x)_0 = Sp2+O3+O1 # Green Polys by orbit reps #37.1 : x[47] : [5, 4, 4, 1, 1, 1],[] : [[1], [3, 3, 1]] Qxi[D8,37,1] = (x[47])*q^11 + (x[48]+x[53]+x[57]+x[70])*q^10 + (x[55]+x[58]+x[61]+x[69]+2*x[72])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[80]+x[84]+x[89])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #37.1 : c = () |O_x_c^F| = q^30*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,37,1] = (x[47])*q^11 + (x[48]+x[53]+x[57]+x[70])*q^10 + (x[55]+x[58]+x[61]+x[69]+2*x[72])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[77]+x[80]+x[84]+x[89])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #38 : [5, 4, 4, 3] dim = 92 A(O) = 1 , |A(O)_0| = 1 g_s = 2*V[7]+3*V[6]+4*V[5]+4*V[4]+4*V[3]+4*V[2]+4*V[1]+3*V[0] Z_G(x)_0 = Sp2+2*O1 # Green Polys by orbit reps #38.1 : x[48] : [5, 4, 4, 3],[] : [[1, 1], [3, 3]] Qxi[D8,38,1] = (x[48])*q^10 + (x[55]+x[72])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[76]+x[77])*q^8 + (x[61]+x[72]+x[75]+2*x[79]+x[88])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+x[90])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #38.1 : c = () |O_x_c^F| = q^30*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,38,1] = (x[48])*q^10 + (x[55]+x[72])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[76]+x[77])*q^8 + (x[61]+x[72]+x[75]+2*x[79]+x[88])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+x[90])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #39 : [5, 5, 1, 1, 1, 1, 1, 1] dim = 84 A(O) = Z2 , |A(O)_0| = 2 g_s = V[8]+3*V[6]+13*V[4]+3*V[2]+16*V[0] Z_G(x)_0 = O6+O2 # Green Polys by orbit reps #39.1 : x[49] : [5, 5, 1, 1, 1, 1, 1, 1],[1] : [[2], [3, 1, 1, 1]] Qxi[D8,39,1] = (x[49])*q^14 + (x[51]+x[58]+x[65])*q^13 + (x[52]+x[53]+x[59]+x[60]+x[67]+2*x[73]+x[83])*q^12 + (x[51]+x[55]+2*x[58]+x[61]+x[68]+x[69]+2*x[75]+x[79]+2*x[85])*q^11 + (x[53]+x[56]+2*x[59]+2*x[60]+x[67]+x[71]+2*x[73]+x[74]+2*x[76]+2*x[80]+x[84]+2*x[87]+x[90]+x[93])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+3*x[75]+4*x[79]+2*x[85]+x[86]+2*x[88]+x[91]+x[95])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[78]+3*x[80]+x[81]+x[82]+x[84]+2*x[87]+4*x[90]+x[93]+x[94]+x[96])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+2*x[91]+2*x[92]+3*x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #39.2 : x[50] : [5, 5, 1, 1, 1, 1, 1, 1],[-1] : [[3], [2, 1, 1, 1]] Qxi[D8,39,2] = (x[50])*q^14 + (x[52]+x[66]+x[74])*q^13 + (x[51]+x[54]+x[58]+x[68]+x[75]+x[86])*q^12 + (x[52]+x[56]+x[59]+x[60]+x[67]+x[73]+2*x[74]+x[78]+x[80]+x[87])*q^11 + (x[54]+x[55]+x[58]+x[61]+x[68]+3*x[75]+x[79]+x[85]+x[86]+2*x[91])*q^10 + (x[56]+x[59]+x[60]+x[71]+2*x[74]+x[76]+2*x[78]+2*x[80]+2*x[87]+2*x[90]+x[96])*q^9 + (x[61]+2*x[75]+2*x[79]+x[86]+x[88]+3*x[91]+x[92]+x[95])*q^8 + (x[78]+2*x[80]+x[81]+x[82]+x[87]+2*x[90]+x[96]+x[97])*q^7 + (2*x[91]+2*x[92]+x[95])*q^6 + (x[96]+2*x[97])*q^5 + (x[99])*q^4 # Green Polys by conj class in A(O) #39.1 : c = () |O_x_c^F| = 1/2*q^30*(q+1)*(q^2+1)*(q^3+1)*(q^4+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,39,1] = (x[49]+x[50])*q^14 + (x[51]+x[52]+x[58]+x[65]+x[66]+x[74])*q^13 + (x[51]+x[52]+x[53]+x[54]+x[58]+x[59]+x[60]+x[67]+x[68]+2*x[73]+x[75]+x[83]+x[86])*q^12 + (x[51]+x[52]+x[55]+x[56]+2*x[58]+x[59]+x[60]+x[61]+x[67]+x[68]+x[69]+x[73]+2*x[74]+2*x[75]+x[78]+x[79]+x[80]+2*x[85]+x[87])*q^11 + (x[53]+x[54]+x[55]+x[56]+x[58]+2*x[59]+2*x[60]+x[61]+x[67]+x[68]+x[71]+2*x[73]+x[74]+3*x[75]+2*x[76]+x[79]+2*x[80]+x[84]+x[85]+x[86]+2*x[87]+x[90]+2*x[91]+x[93])*q^10 + (x[55]+x[56]+x[58]+x[59]+x[60]+2*x[61]+x[69]+x[71]+2*x[74]+3*x[75]+x[76]+2*x[78]+4*x[79]+2*x[80]+2*x[85]+x[86]+2*x[87]+2*x[88]+2*x[90]+x[91]+x[95]+x[96])*q^9 + (x[57]+x[59]+x[60]+x[61]+x[71]+x[73]+2*x[75]+2*x[76]+x[78]+2*x[79]+3*x[80]+x[81]+x[82]+x[84]+x[86]+2*x[87]+x[88]+4*x[90]+3*x[91]+x[92]+x[93]+x[94]+x[95]+x[96])*q^8 + (x[61]+x[72]+x[75]+x[78]+3*x[79]+2*x[80]+x[81]+x[82]+x[85]+x[87]+2*x[88]+2*x[90]+2*x[91]+2*x[92]+3*x[95]+x[96]+x[97])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+2*x[91]+2*x[92]+x[93]+x[94]+x[95]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[96]+2*x[97]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98]+x[99])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #39.2 : c = (1) |O_x_c^F| = 1/2*q^30*(q-1)*(q^2+1)*(q^3-1)*(q^4+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,39,2] = (x[49]-x[50])*q^14 + (x[51]-x[52]+x[58]+x[65]-x[66]-x[74])*q^13 + (-x[51]+x[52]+x[53]-x[54]-x[58]+x[59]+x[60]+x[67]-x[68]+2*x[73]-x[75]+x[83]-x[86])*q^12 + (x[51]-x[52]+x[55]-x[56]+2*x[58]-x[59]-x[60]+x[61]-x[67]+x[68]+x[69]-x[73]-2*x[74]+2*x[75]-x[78]+x[79]-x[80]+2*x[85]-x[87])*q^11 + (x[53]-x[54]-x[55]+x[56]-x[58]+2*x[59]+2*x[60]-x[61]+x[67]-x[68]+x[71]+2*x[73]+x[74]-3*x[75]+2*x[76]-x[79]+2*x[80]+x[84]-x[85]-x[86]+2*x[87]+x[90]-2*x[91]+x[93])*q^10 + (x[55]-x[56]+x[58]-x[59]-x[60]+2*x[61]+x[69]-x[71]-2*x[74]+3*x[75]-x[76]-2*x[78]+4*x[79]-2*x[80]+2*x[85]+x[86]-2*x[87]+2*x[88]-2*x[90]+x[91]+x[95]-x[96])*q^9 + (x[57]+x[59]+x[60]-x[61]+x[71]+x[73]-2*x[75]+2*x[76]+x[78]-2*x[79]+3*x[80]+x[81]+x[82]+x[84]-x[86]+2*x[87]-x[88]+4*x[90]-3*x[91]-x[92]+x[93]+x[94]-x[95]+x[96])*q^8 + (x[61]+x[72]+x[75]-x[78]+3*x[79]-2*x[80]-x[81]-x[82]+x[85]-x[87]+2*x[88]-2*x[90]+2*x[91]+2*x[92]+3*x[95]-x[96]-x[97])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]-2*x[91]-2*x[92]+x[93]+x[94]-x[95]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]-x[96]-2*x[97]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98]-x[99])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #40 : [5, 5, 2, 2, 1, 1] dim = 90 A(O) = Z2 , |A(O)_0| = 2 g_s = V[8]+3*V[6]+4*V[5]+5*V[4]+4*V[3]+4*V[2]+4*V[1]+5*V[0] Z_G(x)_0 = Sp2+2*O2 # Green Polys by orbit reps #40.1 : x[51] : [5, 5, 2, 2, 1, 1],[1] : [[2, 1], [3, 1, 1]] Qxi[D8,40,1] = (x[51])*q^11 + (x[53]+x[56]+x[59]+x[60]+x[67]+x[73])*q^10 + (x[55]+x[58]+2*x[61]+x[69]+2*x[75]+x[79]+x[85])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[78]+2*x[80]+x[84]+x[87]+2*x[90])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88]+x[91]+x[92]+x[95])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #40.2 : x[52] : [5, 5, 2, 2, 1, 1],[-1] : [[3, 1], [2, 1, 1]] Qxi[D8,40,2] = (x[52])*q^11 + (x[54]+x[55]+x[58]+x[68]+x[75])*q^10 + (x[56]+x[59]+x[60]+x[71]+2*x[74]+x[76]+x[78]+x[80]+x[87])*q^9 + (x[61]+2*x[75]+2*x[79]+x[86]+x[88]+2*x[91])*q^8 + (x[78]+2*x[80]+x[81]+x[82]+x[87]+2*x[90]+x[96])*q^7 + (2*x[91]+2*x[92]+x[95])*q^6 + (x[96]+2*x[97])*q^5 + (x[99])*q^4 # Green Polys by conj class in A(O) #40.1 : c = () |O_x_c^F| = 1/2*q^30*(q^2+q+1)*(q+1)*(q^2+1)*(q^3+1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,40,1] = (x[51]+x[52])*q^11 + (x[53]+x[54]+x[55]+x[56]+x[58]+x[59]+x[60]+x[67]+x[68]+x[73]+x[75])*q^10 + (x[55]+x[56]+x[58]+x[59]+x[60]+2*x[61]+x[69]+x[71]+2*x[74]+2*x[75]+x[76]+x[78]+x[79]+x[80]+x[85]+x[87])*q^9 + (x[57]+x[59]+x[60]+x[61]+x[71]+x[73]+2*x[75]+2*x[76]+x[78]+2*x[79]+2*x[80]+x[84]+x[86]+x[87]+x[88]+2*x[90]+2*x[91])*q^8 + (x[61]+x[72]+x[75]+x[78]+3*x[79]+2*x[80]+x[81]+x[82]+x[85]+x[87]+2*x[88]+2*x[90]+x[91]+x[92]+x[95]+x[96])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+2*x[91]+2*x[92]+x[93]+x[94]+x[95]+x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[96]+2*x[97])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98]+x[99])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #40.2 : c = (1) |O_x_c^F| = 1/2*q^30*(q^2-q+1)*(q-1)*(q^2+1)*(q^3-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,40,2] = (x[51]-x[52])*q^11 + (x[53]-x[54]-x[55]+x[56]-x[58]+x[59]+x[60]+x[67]-x[68]+x[73]-x[75])*q^10 + (x[55]-x[56]+x[58]-x[59]-x[60]+2*x[61]+x[69]-x[71]-2*x[74]+2*x[75]-x[76]-x[78]+x[79]-x[80]+x[85]-x[87])*q^9 + (x[57]+x[59]+x[60]-x[61]+x[71]+x[73]-2*x[75]+2*x[76]+x[78]-2*x[79]+2*x[80]+x[84]-x[86]+x[87]-x[88]+2*x[90]-2*x[91])*q^8 + (x[61]+x[72]+x[75]-x[78]+3*x[79]-2*x[80]-x[81]-x[82]+x[85]-x[87]+2*x[88]-2*x[90]+x[91]+x[92]+x[95]-x[96])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]-2*x[91]-2*x[92]+x[93]+x[94]-x[95]+x[97])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]-x[96]-2*x[97])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98]-x[99])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #41 : [5, 5, 3, 1, 1, 1] dim = 92 A(O) = Z2 , |A(O)_0| = 2 g_s = V[8]+5*V[6]+9*V[4]+9*V[2]+4*V[0] Z_G(x)_0 = O3+O2+O1 # Green Polys by orbit reps #41.1 : x[53] : [5, 5, 3, 1, 1, 1],[1] : [[2], [3, 2, 1]] Qxi[D8,41,1] = (x[53])*q^10 + (x[55]+x[58]+x[61]+x[69])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[73]+2*x[76]+x[80]+x[84])*q^8 + (x[61]+x[72]+x[75]+3*x[79]+x[85]+2*x[88])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[93]+x[94])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #41.2 : x[54] : [5, 5, 3, 1, 1, 1],[-1] : [[3], [2, 2, 1]] Qxi[D8,41,2] = (x[54])*q^10 + (x[56]+x[74]+x[78])*q^9 + (x[61]+x[75]+x[91])*q^8 + (x[78]+x[80]+x[90])*q^7 + (x[91]+x[92])*q^6 + (x[97])*q^5 # Green Polys by conj class in A(O) #41.1 : c = () |O_x_c^F| = 1/2*q^31*(q+1)*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,41,1] = (x[53]+x[54])*q^10 + (x[55]+x[56]+x[58]+x[61]+x[69]+x[74]+x[78])*q^9 + (x[57]+x[59]+x[60]+x[61]+x[71]+x[73]+x[75]+2*x[76]+x[80]+x[84]+x[91])*q^8 + (x[61]+x[72]+x[75]+x[78]+3*x[79]+x[80]+x[85]+2*x[88]+x[90])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]+x[91]+x[92]+x[93]+x[94])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]+x[97])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #41.2 : c = (1) |O_x_c^F| = 1/2*q^31*(q-1)*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,41,2] = (x[53]-x[54])*q^10 + (x[55]-x[56]+x[58]+x[61]+x[69]-x[74]-x[78])*q^9 + (x[57]+x[59]+x[60]-x[61]+x[71]+x[73]-x[75]+2*x[76]+x[80]+x[84]-x[91])*q^8 + (x[61]+x[72]+x[75]-x[78]+3*x[79]-x[80]+x[85]+2*x[88]-x[90])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+2*x[90]-x[91]-x[92]+x[93]+x[94])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+2*x[95]-x[97])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #42 : [5, 5, 3, 3] dim = 94 A(O) = Z2 , |A(O)_0| = 2 g_s = V[8]+7*V[6]+6*V[4]+10*V[2]+2*V[0] Z_G(x)_0 = 2*O2 # Green Polys by orbit reps #42.1 : x[55] : [5, 5, 3, 3],[1] : [[2, 1], [3, 2]] Qxi[D8,42,1] = (x[55])*q^9 + (x[57]+x[59]+x[60]+x[71]+x[76])*q^8 + (x[61]+x[72]+x[75]+2*x[79]+x[88])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+x[90])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #42.2 : x[56] : [5, 5, 3, 3],[-1] : [[3, 1], [2, 2]] Qxi[D8,42,2] = (x[56])*q^9 + (x[61]+x[75])*q^8 + (x[78]+x[80]+x[90])*q^7 + (x[91]+x[92])*q^6 + (x[97])*q^5 # Green Polys by conj class in A(O) #42.1 : c = () |O_x_c^F| = 1/2*q^32*(q+1)^2*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,42,1] = (x[55]+x[56])*q^9 + (x[57]+x[59]+x[60]+x[61]+x[71]+x[75]+x[76])*q^8 + (x[61]+x[72]+x[75]+x[78]+2*x[79]+x[80]+x[88]+x[90])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+x[90]+x[91]+x[92])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+x[95]+x[97])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #42.2 : c = (1) |O_x_c^F| = 1/2*q^32*(q-1)^2*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,42,2] = (x[55]-x[56])*q^9 + (x[57]+x[59]+x[60]-x[61]+x[71]-x[75]+x[76])*q^8 + (x[61]+x[72]+x[75]-x[78]+2*x[79]-x[80]+x[88]-x[90])*q^7 + (x[76]+2*x[80]+x[81]+x[82]+x[87]+x[89]+x[90]-x[91]-x[92])*q^6 + (x[79]+x[88]+x[91]+2*x[92]+x[95]-x[97])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #43 : [5, 5, 5, 1] dim = 96 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[8]+6*V[6]+6*V[4]+6*V[2]+3*V[0] Z_G(x)_0 = O3+O1 # Green Polys by orbit reps #43.1 : x[57] : [5, 5, 5, 1],[] : [[2], [3, 3]] Qxi[D8,43,1] = (x[57])*q^8 + (x[61]+x[72])*q^7 + (x[76]+x[80]+x[89])*q^6 + (x[79]+x[88]+x[92])*q^5 + (x[81]+x[82]+x[90]+x[94])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #43.1 : c = () |O_x_c^F| = q^34*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,43,1] = (x[57])*q^8 + (x[61]+x[72])*q^7 + (x[76]+x[80]+x[89])*q^6 + (x[79]+x[88]+x[92])*q^5 + (x[81]+x[82]+x[90]+x[94])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #44 : [6, 6, 1, 1, 1, 1] dim = 94 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+3*V[8]+V[6]+8*V[5]+3*V[4]+V[2]+9*V[0] Z_G(x)_0 = Sp2+O4 # Green Polys by orbit reps #44.1 : x[58] : [6, 6, 1, 1, 1, 1],[] : [[3], [3, 1, 1]] Qxi[D8,44,1] = (x[58])*q^9 + (x[59]+x[60]+x[73]+x[74]+x[80])*q^8 + (x[61]+2*x[75]+3*x[79]+x[85]+x[86]+x[91])*q^7 + (x[76]+x[78]+3*x[80]+x[81]+x[82]+2*x[87]+3*x[90]+x[93]+x[96])*q^6 + (x[79]+x[88]+3*x[91]+3*x[92]+3*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+2*x[96]+3*x[97]+x[98])*q^4 + (x[92]+x[95]+2*x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #44.1 : c = () |O_x_c^F| = q^36*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,44,1] = (x[58])*q^9 + (x[59]+x[60]+x[73]+x[74]+x[80])*q^8 + (x[61]+2*x[75]+3*x[79]+x[85]+x[86]+x[91])*q^7 + (x[76]+x[78]+3*x[80]+x[81]+x[82]+2*x[87]+3*x[90]+x[93]+x[96])*q^6 + (x[79]+x[88]+3*x[91]+3*x[92]+3*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+2*x[96]+3*x[97]+x[98])*q^4 + (x[92]+x[95]+2*x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #45 : [6, 6, 2, 2, 0] dim = 96 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+3*V[8]+5*V[6]+7*V[4]+2*V[2]+6*V[0] Z_G(x)_0 = 2*Sp2 # Green Polys by orbit reps #45.1 : x[59] : [6, 6, 2, 2, 0],[] : [[3, 1], [3, 1], 2] Qxi[D8,45,1] = (x[59])*q^8 + (x[61]+x[75]+x[79])*q^7 + (x[76]+x[78]+2*x[80]+x[81]+x[87]+x[90])*q^6 + (x[79]+x[88]+2*x[91]+2*x[92]+x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+2*x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #45.1 : c = () |O_x_c^F| = q^36*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,45,1] = (x[59])*q^8 + (x[61]+x[75]+x[79])*q^7 + (x[76]+x[78]+2*x[80]+x[81]+x[87]+x[90])*q^6 + (x[79]+x[88]+2*x[91]+2*x[92]+x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+2*x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #46 : [6, 6, 2, 2] dim = 96 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+3*V[8]+5*V[6]+7*V[4]+2*V[2]+6*V[0] Z_G(x)_0 = 2*Sp2 # Green Polys by orbit reps #46.1 : x[60] : [6, 6, 2, 2],[] : [[3, 1], [3, 1], 1] Qxi[D8,46,1] = (x[60])*q^8 + (x[61]+x[75]+x[79])*q^7 + (x[76]+x[78]+2*x[80]+x[82]+x[87]+x[90])*q^6 + (x[79]+x[88]+2*x[91]+2*x[92]+x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+2*x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #46.1 : c = () |O_x_c^F| = q^36*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,46,1] = (x[60])*q^8 + (x[61]+x[75]+x[79])*q^7 + (x[76]+x[78]+2*x[80]+x[82]+x[87]+x[90])*q^6 + (x[79]+x[88]+2*x[91]+2*x[92]+x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+2*x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #47 : [6, 6, 3, 1] dim = 98 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+3*V[8]+2*V[7]+V[6]+4*V[5]+3*V[4]+2*V[3]+3*V[2]+3*V[0] Z_G(x)_0 = Sp2+2*O1 # Green Polys by orbit reps #47.1 : x[61] : [6, 6, 3, 1],[] : [[3], [3, 2]] Qxi[D8,47,1] = (x[61])*q^7 + (x[76]+x[78]+x[80])*q^6 + (x[79]+x[88]+x[91]+x[92])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[97])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #47.1 : c = () |O_x_c^F| = q^36*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,47,1] = (x[61])*q^7 + (x[76]+x[78]+x[80])*q^6 + (x[79]+x[88]+x[91]+x[92])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[97])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #48 : [7, 1, 1, 1, 1, 1, 1, 1, 1, 1] dim = 72 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+10*V[6]+V[2]+36*V[0] Z_G(x)_0 = O9+O1 # Green Polys by orbit reps #48.1 : x[62] : [7, 1, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[], [4, 1, 1, 1, 1]] Qxi[D8,48,1] = (x[62])*q^20 + (x[65])*q^19 + (x[63]+x[67]+x[83])*q^18 + (x[65]+x[68]+x[69]+x[85])*q^17 + (x[63]+x[64]+x[66]+x[67]+x[71]+x[73]+x[83]+x[84]+x[87])*q^16 + (x[65]+x[68]+2*x[69]+x[75]+2*x[85]+x[86]+x[88])*q^15 + (x[63]+2*x[67]+x[70]+x[71]+x[73]+x[74]+x[76]+x[83]+2*x[84]+2*x[87]+x[90]+x[93])*q^14 + (x[65]+x[68]+2*x[69]+x[72]+2*x[75]+3*x[85]+x[86]+2*x[88]+x[91]+x[95])*q^13 + (x[64]+x[67]+x[70]+2*x[71]+2*x[73]+x[74]+x[76]+x[78]+x[83]+2*x[84]+3*x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96])*q^12 + (x[68]+2*x[69]+x[72]+2*x[75]+x[79]+3*x[85]+x[86]+3*x[88]+2*x[91]+2*x[95])*q^11 + (x[67]+x[70]+x[71]+x[73]+x[74]+2*x[76]+x[80]+2*x[84]+3*x[87]+x[89]+3*x[90]+2*x[93]+x[94]+x[96]+x[97])*q^10 + (x[69]+x[72]+2*x[75]+x[79]+2*x[85]+x[86]+3*x[88]+2*x[91]+x[92]+3*x[95])*q^9 + (x[71]+x[73]+x[76]+x[77]+x[78]+x[80]+x[84]+2*x[87]+x[89]+3*x[90]+x[93]+2*x[94]+2*x[96]+x[97]+x[98])*q^8 + (x[72]+x[75]+x[79]+x[85]+2*x[88]+2*x[91]+x[92]+3*x[95]+x[99])*q^7 + (x[76]+x[80]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #48.1 : c = () |O_x_c^F| = q^28*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,48,1] = (x[62])*q^20 + (x[65])*q^19 + (x[63]+x[67]+x[83])*q^18 + (x[65]+x[68]+x[69]+x[85])*q^17 + (x[63]+x[64]+x[66]+x[67]+x[71]+x[73]+x[83]+x[84]+x[87])*q^16 + (x[65]+x[68]+2*x[69]+x[75]+2*x[85]+x[86]+x[88])*q^15 + (x[63]+2*x[67]+x[70]+x[71]+x[73]+x[74]+x[76]+x[83]+2*x[84]+2*x[87]+x[90]+x[93])*q^14 + (x[65]+x[68]+2*x[69]+x[72]+2*x[75]+3*x[85]+x[86]+2*x[88]+x[91]+x[95])*q^13 + (x[64]+x[67]+x[70]+2*x[71]+2*x[73]+x[74]+x[76]+x[78]+x[83]+2*x[84]+3*x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96])*q^12 + (x[68]+2*x[69]+x[72]+2*x[75]+x[79]+3*x[85]+x[86]+3*x[88]+2*x[91]+2*x[95])*q^11 + (x[67]+x[70]+x[71]+x[73]+x[74]+2*x[76]+x[80]+2*x[84]+3*x[87]+x[89]+3*x[90]+2*x[93]+x[94]+x[96]+x[97])*q^10 + (x[69]+x[72]+2*x[75]+x[79]+2*x[85]+x[86]+3*x[88]+2*x[91]+x[92]+3*x[95])*q^9 + (x[71]+x[73]+x[76]+x[77]+x[78]+x[80]+x[84]+2*x[87]+x[89]+3*x[90]+x[93]+2*x[94]+2*x[96]+x[97]+x[98])*q^8 + (x[72]+x[75]+x[79]+x[85]+2*x[88]+2*x[91]+x[92]+3*x[95]+x[99])*q^7 + (x[76]+x[80]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #49 : [7, 2, 2, 1, 1, 1, 1, 1] dim = 84 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+2*V[7]+6*V[6]+2*V[5]+2*V[2]+10*V[1]+13*V[0] Z_G(x)_0 = Sp2+O5+O1 # Green Polys by orbit reps #49.1 : x[63] : [7, 2, 2, 1, 1, 1, 1, 1],[] : [[], [4, 2, 1, 1]] Qxi[D8,49,1] = (x[63])*q^14 + (x[65]+x[69])*q^13 + (x[64]+x[67]+x[70]+x[71]+x[73]+x[83]+x[84])*q^12 + (x[68]+2*x[69]+x[72]+x[75]+2*x[85]+x[88])*q^11 + (x[67]+x[70]+x[71]+x[73]+x[74]+2*x[76]+2*x[84]+2*x[87]+x[89]+x[90]+x[93])*q^10 + (x[69]+x[72]+2*x[75]+x[79]+2*x[85]+x[86]+3*x[88]+x[91]+x[95])*q^9 + (x[71]+x[73]+x[76]+x[77]+x[78]+x[80]+x[84]+2*x[87]+x[89]+3*x[90]+x[93]+2*x[94]+x[96])*q^8 + (x[72]+x[75]+x[79]+x[85]+2*x[88]+2*x[91]+x[92]+3*x[95])*q^7 + (x[76]+x[80]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #49.1 : c = () |O_x_c^F| = q^28*(q^2+q+1)*(q^2-q+1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,49,1] = (x[63])*q^14 + (x[65]+x[69])*q^13 + (x[64]+x[67]+x[70]+x[71]+x[73]+x[83]+x[84])*q^12 + (x[68]+2*x[69]+x[72]+x[75]+2*x[85]+x[88])*q^11 + (x[67]+x[70]+x[71]+x[73]+x[74]+2*x[76]+2*x[84]+2*x[87]+x[89]+x[90]+x[93])*q^10 + (x[69]+x[72]+2*x[75]+x[79]+2*x[85]+x[86]+3*x[88]+x[91]+x[95])*q^9 + (x[71]+x[73]+x[76]+x[77]+x[78]+x[80]+x[84]+2*x[87]+x[89]+3*x[90]+x[93]+2*x[94]+x[96])*q^8 + (x[72]+x[75]+x[79]+x[85]+2*x[88]+2*x[91]+x[92]+3*x[95])*q^7 + (x[76]+x[80]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #50 : [7, 2, 2, 2, 2, 1] dim = 88 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+4*V[7]+2*V[6]+4*V[5]+7*V[2]+4*V[1]+10*V[0] Z_G(x)_0 = Sp4+2*O1 # Green Polys by orbit reps #50.1 : x[64] : [7, 2, 2, 2, 2, 1],[] : [[], [4, 2, 2]] Qxi[D8,50,1] = (x[64])*q^12 + (x[69])*q^11 + (x[67]+x[70]+x[76]+x[84])*q^10 + (x[69]+x[72]+x[75]+x[85]+x[88])*q^9 + (x[71]+x[73]+x[76]+x[77]+x[78]+x[84]+x[87]+x[89]+x[90]+x[94])*q^8 + (x[72]+x[75]+x[79]+x[85]+2*x[88]+x[91]+x[95])*q^7 + (x[76]+x[80]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[97])*q^6 + (x[79]+x[88]+x[91]+x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #50.1 : c = () |O_x_c^F| = q^30*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,50,1] = (x[64])*q^12 + (x[69])*q^11 + (x[67]+x[70]+x[76]+x[84])*q^10 + (x[69]+x[72]+x[75]+x[85]+x[88])*q^9 + (x[71]+x[73]+x[76]+x[77]+x[78]+x[84]+x[87]+x[89]+x[90]+x[94])*q^8 + (x[72]+x[75]+x[79]+x[85]+2*x[88]+x[91]+x[95])*q^7 + (x[76]+x[80]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[97])*q^6 + (x[79]+x[88]+x[91]+x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #51 : [7, 3, 1, 1, 1, 1, 1, 1] dim = 86 A(O) = Z2 , |A(O)_0| = 2 g_s = V[10]+V[8]+8*V[6]+V[4]+8*V[2]+15*V[0] Z_G(x)_0 = O6+2*O1 # Green Polys by orbit reps #51.1 : x[65] : [7, 3, 1, 1, 1, 1, 1, 1],[1] : [[1], [4, 1, 1, 1]] Qxi[D8,51,1] = (x[65])*q^13 + (x[67]+x[73]+x[83])*q^12 + (x[68]+x[69]+x[75]+2*x[85])*q^11 + (x[67]+x[71]+x[73]+x[74]+x[76]+x[84]+2*x[87]+x[90]+x[93])*q^10 + (x[69]+2*x[75]+x[79]+2*x[85]+x[86]+2*x[88]+x[91]+x[95])*q^9 + (x[71]+x[73]+x[76]+x[78]+x[80]+x[84]+2*x[87]+3*x[90]+x[93]+x[94]+x[96])*q^8 + (x[72]+x[75]+x[79]+x[85]+2*x[88]+2*x[91]+x[92]+3*x[95])*q^7 + (x[76]+x[80]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+x[92]+2*x[95]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #51.2 : x[66] : [7, 3, 1, 1, 1, 1, 1, 1],[-1] : [[4], [1, 1, 1, 1]] Qxi[D8,51,2] = (x[66])*q^13 + (x[68]+x[86])*q^12 + (x[67]+x[74]+x[87])*q^11 + (x[68]+x[75]+x[85]+x[86]+x[91])*q^10 + (x[71]+x[74]+x[78]+2*x[87]+x[90]+x[96])*q^9 + (x[75]+x[86]+x[88]+2*x[91]+x[95])*q^8 + (x[80]+x[87]+x[90]+x[96]+x[97])*q^7 + (x[91]+x[92]+x[95])*q^6 + (x[96]+x[97])*q^5 + (x[99])*q^4 # Green Polys by conj class in A(O) #51.1 : c = () |O_x_c^F| = 1/2*q^31*(q^3+1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,51,1] = (x[65]+x[66])*q^13 + (x[67]+x[68]+x[73]+x[83]+x[86])*q^12 + (x[67]+x[68]+x[69]+x[74]+x[75]+2*x[85]+x[87])*q^11 + (x[67]+x[68]+x[71]+x[73]+x[74]+x[75]+x[76]+x[84]+x[85]+x[86]+2*x[87]+x[90]+x[91]+x[93])*q^10 + (x[69]+x[71]+x[74]+2*x[75]+x[78]+x[79]+2*x[85]+x[86]+2*x[87]+2*x[88]+x[90]+x[91]+x[95]+x[96])*q^9 + (x[71]+x[73]+x[75]+x[76]+x[78]+x[80]+x[84]+x[86]+2*x[87]+x[88]+3*x[90]+2*x[91]+x[93]+x[94]+x[95]+x[96])*q^8 + (x[72]+x[75]+x[79]+x[80]+x[85]+x[87]+2*x[88]+x[90]+2*x[91]+x[92]+3*x[95]+x[96]+x[97])*q^7 + (x[76]+x[80]+x[87]+x[89]+2*x[90]+x[91]+x[92]+x[93]+x[94]+x[95]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+x[92]+2*x[95]+x[96]+x[97]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98]+x[99])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #51.2 : c = (1) |O_x_c^F| = 1/2*q^31*(q^3-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,51,2] = (x[65]-x[66])*q^13 + (x[67]-x[68]+x[73]+x[83]-x[86])*q^12 + (-x[67]+x[68]+x[69]-x[74]+x[75]+2*x[85]-x[87])*q^11 + (x[67]-x[68]+x[71]+x[73]+x[74]-x[75]+x[76]+x[84]-x[85]-x[86]+2*x[87]+x[90]-x[91]+x[93])*q^10 + (x[69]-x[71]-x[74]+2*x[75]-x[78]+x[79]+2*x[85]+x[86]-2*x[87]+2*x[88]-x[90]+x[91]+x[95]-x[96])*q^9 + (x[71]+x[73]-x[75]+x[76]+x[78]+x[80]+x[84]-x[86]+2*x[87]-x[88]+3*x[90]-2*x[91]+x[93]+x[94]-x[95]+x[96])*q^8 + (x[72]+x[75]+x[79]-x[80]+x[85]-x[87]+2*x[88]-x[90]+2*x[91]+x[92]+3*x[95]-x[96]-x[97])*q^7 + (x[76]+x[80]+x[87]+x[89]+2*x[90]-x[91]-x[92]+x[93]+x[94]-x[95]+x[96]+2*x[97]+x[98])*q^6 + (x[79]+x[88]+x[91]+x[92]+2*x[95]-x[96]-x[97]+x[99])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98]-x[99])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #52 : [7, 3, 2, 2, 1, 1] dim = 92 A(O) = Z2 , |A(O)_0| = 2 g_s = V[10]+V[8]+2*V[7]+4*V[6]+2*V[5]+V[4]+2*V[3]+5*V[2]+6*V[1]+4*V[0] Z_G(x)_0 = Sp2+O2+2*O1 # Green Polys by orbit reps #52.1 : x[67] : [7, 3, 2, 2, 1, 1],[1] : [[1, 1], [4, 1, 1]] Qxi[D8,52,1] = (x[67])*q^10 + (x[69]+x[75]+x[85])*q^9 + (x[71]+x[73]+x[76]+x[78]+x[84]+x[87]+x[90])*q^8 + (x[72]+x[75]+x[79]+x[85]+2*x[88]+x[91]+x[95])*q^7 + (x[76]+x[80]+x[87]+x[89]+2*x[90]+x[93]+x[94]+x[97])*q^6 + (x[79]+x[88]+x[91]+x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #52.2 : x[68] : [7, 3, 2, 2, 1, 1],[-1] : [[1, 1, 1], [4, 1]] Qxi[D8,52,2] = (x[68])*q^10 + (x[71]+x[74]+x[87])*q^9 + (x[75]+x[86]+x[88]+x[91])*q^8 + (x[80]+x[87]+x[90]+x[96])*q^7 + (x[91]+x[92]+x[95])*q^6 + (x[96]+x[97])*q^5 + (x[99])*q^4 # Green Polys by conj class in A(O) #52.1 : c = () |O_x_c^F| = 1/2*q^31*(q+1)*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,52,1] = (x[67]+x[68])*q^10 + (x[69]+x[71]+x[74]+x[75]+x[85]+x[87])*q^9 + (x[71]+x[73]+x[75]+x[76]+x[78]+x[84]+x[86]+x[87]+x[88]+x[90]+x[91])*q^8 + (x[72]+x[75]+x[79]+x[80]+x[85]+x[87]+2*x[88]+x[90]+x[91]+x[95]+x[96])*q^7 + (x[76]+x[80]+x[87]+x[89]+2*x[90]+x[91]+x[92]+x[93]+x[94]+x[95]+x[97])*q^6 + (x[79]+x[88]+x[91]+x[92]+2*x[95]+x[96]+x[97])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98]+x[99])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #52.2 : c = (1) |O_x_c^F| = 1/2*q^31*(q-1)*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,52,2] = (x[67]-x[68])*q^10 + (x[69]-x[71]-x[74]+x[75]+x[85]-x[87])*q^9 + (x[71]+x[73]-x[75]+x[76]+x[78]+x[84]-x[86]+x[87]-x[88]+x[90]-x[91])*q^8 + (x[72]+x[75]+x[79]-x[80]+x[85]-x[87]+2*x[88]-x[90]+x[91]+x[95]-x[96])*q^7 + (x[76]+x[80]+x[87]+x[89]+2*x[90]-x[91]-x[92]+x[93]+x[94]-x[95]+x[97])*q^6 + (x[79]+x[88]+x[91]+x[92]+2*x[95]-x[96]-x[97])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98]-x[99])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #53 : [7, 3, 3, 1, 1, 1] dim = 94 A(O) = Z2 , |A(O)_0| = 2 g_s = V[10]+2*V[8]+6*V[6]+3*V[4]+10*V[2]+4*V[0] Z_G(x)_0 = O3+O2+O1 # Green Polys by orbit reps #53.1 : x[69] : [7, 3, 3, 1, 1, 1],[1] : [[1], [4, 2, 1]] Qxi[D8,53,1] = (x[69])*q^9 + (x[71]+x[73]+x[76]+x[84])*q^8 + (x[72]+x[75]+x[79]+x[85]+2*x[88])*q^7 + (x[76]+x[80]+x[87]+x[89]+2*x[90]+x[93]+x[94])*q^6 + (x[79]+x[88]+x[91]+x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #53.2 : x[70] : [7, 3, 3, 1, 1, 1],[-1] : [[], [4, 3, 1]] Qxi[D8,53,2] = (x[70])*q^9 + (x[72])*q^8 + (x[77]+x[89])*q^7 # Green Polys by conj class in A(O) #53.1 : c = () |O_x_c^F| = 1/2*q^33*(q+1)*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,53,1] = (x[69]+x[70])*q^9 + (x[71]+x[72]+x[73]+x[76]+x[84])*q^8 + (x[72]+x[75]+x[77]+x[79]+x[85]+2*x[88]+x[89])*q^7 + (x[76]+x[80]+x[87]+x[89]+2*x[90]+x[93]+x[94])*q^6 + (x[79]+x[88]+x[91]+x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #53.2 : c = (1) |O_x_c^F| = 1/2*q^33*(q-1)*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,53,2] = (x[69]-x[70])*q^9 + (x[71]-x[72]+x[73]+x[76]+x[84])*q^8 + (x[72]+x[75]-x[77]+x[79]+x[85]+2*x[88]-x[89])*q^7 + (x[76]+x[80]+x[87]+x[89]+2*x[90]+x[93]+x[94])*q^6 + (x[79]+x[88]+x[91]+x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #54 : [7, 3, 3, 3] dim = 96 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+3*V[8]+4*V[6]+6*V[4]+7*V[2]+3*V[0] Z_G(x)_0 = O3+O1 # Green Polys by orbit reps #54.1 : x[71] : [7, 3, 3, 3],[] : [[1, 1], [4, 2]] Qxi[D8,54,1] = (x[71])*q^8 + (x[72]+x[75]+x[88])*q^7 + (x[76]+x[80]+x[87]+x[89]+x[90])*q^6 + (x[79]+x[88]+x[91]+x[92]+x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #54.1 : c = () |O_x_c^F| = q^34*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,54,1] = (x[71])*q^8 + (x[72]+x[75]+x[88])*q^7 + (x[76]+x[80]+x[87]+x[89]+x[90])*q^6 + (x[79]+x[88]+x[91]+x[92]+x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #55 : [7, 4, 4, 1] dim = 98 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+2*V[9]+2*V[7]+3*V[6]+2*V[5]+3*V[4]+4*V[3]+2*V[2]+3*V[0] Z_G(x)_0 = Sp2+2*O1 # Green Polys by orbit reps #55.1 : x[72] : [7, 4, 4, 1],[] : [[1], [4, 3]] Qxi[D8,55,1] = (x[72])*q^7 + (x[76]+x[77]+x[89])*q^6 + (x[79]+x[88])*q^5 + (x[81]+x[82]+x[90]+x[94])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #55.1 : c = () |O_x_c^F| = q^36*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,55,1] = (x[72])*q^7 + (x[76]+x[77]+x[89])*q^6 + (x[79]+x[88])*q^5 + (x[81]+x[82]+x[90]+x[94])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #56 : [7, 5, 1, 1, 1, 1] dim = 96 A(O) = Z2 , |A(O)_0| = 2 g_s = 2*V[10]+V[8]+7*V[6]+5*V[4]+3*V[2]+6*V[0] Z_G(x)_0 = O4+2*O1 # Green Polys by orbit reps #56.1 : x[73] : [7, 5, 1, 1, 1, 1],[1] : [[2], [4, 1, 1]] Qxi[D8,56,1] = (x[73])*q^8 + (x[75]+x[79]+x[85])*q^7 + (x[76]+x[80]+x[87]+2*x[90]+x[93])*q^6 + (x[79]+x[88]+x[91]+x[92]+2*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #56.2 : x[74] : [7, 5, 1, 1, 1, 1],[-1] : [[4], [2, 1, 1]] Qxi[D8,56,2] = (x[74])*q^8 + (x[75]+x[86]+x[91])*q^7 + (x[78]+x[80]+x[87]+x[90]+x[96])*q^6 + (2*x[91]+x[92]+x[95])*q^5 + (x[96]+2*x[97])*q^4 + (x[99])*q^3 # Green Polys by conj class in A(O) #56.1 : c = () |O_x_c^F| = 1/2*q^36*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,56,1] = (x[73]+x[74])*q^8 + (2*x[75]+x[79]+x[85]+x[86]+x[91])*q^7 + (x[76]+x[78]+2*x[80]+2*x[87]+3*x[90]+x[93]+x[96])*q^6 + (x[79]+x[88]+3*x[91]+2*x[92]+3*x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+2*x[96]+3*x[97]+x[98])*q^4 + (x[92]+x[95]+2*x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #56.2 : c = (1) |O_x_c^F| = 1/2*q^36*(q^2-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,56,2] = (x[73]-x[74])*q^8 + (x[79]+x[85]-x[86]-x[91])*q^7 + (x[76]-x[78]+x[90]+x[93]-x[96])*q^6 + (x[79]+x[88]-x[91]+x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]-x[97]+x[98])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #57 : [7, 5, 2, 2] dim = 98 A(O) = 1 , |A(O)_0| = 1 g_s = 2*V[10]+V[8]+2*V[7]+3*V[6]+4*V[5]+V[4]+2*V[3]+4*V[2]+3*V[0] Z_G(x)_0 = Sp2+2*O1 # Green Polys by orbit reps #57.1 : x[75] : [7, 5, 2, 2],[] : [[2, 1], [4, 1]] Qxi[D8,57,1] = (x[75])*q^7 + (x[76]+x[78]+x[80]+x[87]+x[90])*q^6 + (x[79]+x[88]+2*x[91]+x[92]+x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+2*x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #57.1 : c = () |O_x_c^F| = q^36*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,57,1] = (x[75])*q^7 + (x[76]+x[78]+x[80]+x[87]+x[90])*q^6 + (x[79]+x[88]+2*x[91]+x[92]+x[95])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[96]+2*x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #58 : [7, 5, 3, 1] dim = 100 A(O) = Z2^2 , |A(O)_0| = 3 g_s = 2*V[10]+2*V[8]+6*V[6]+4*V[4]+6*V[2] Z_G(x)_0 = 4*O1 # Green Polys by orbit reps #58.1 : x[76] : [7, 5, 3, 1],[1, 1] : [[2], [4, 2]] Qxi[D8,58,1] = (x[76])*q^6 + (x[79]+x[88])*q^5 + (x[81]+x[82]+x[90]+x[94])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #58.2 : x[77] : [7, 5, 3, 1],[-1, 1] : [[], [4, 4]] Qxi[D8,58,2] = (x[77])*q^6 #58.3 : x[78] : [7, 5, 3, 1],[1, -1] : [[4], [2, 2]] Qxi[D8,58,3] = (x[78])*q^6 + (x[91])*q^5 + (x[97])*q^4 # Green Polys by conj class in A(O) #58.1 : c = () |O_x_c^F| = 1/4*q^36*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,58,1] = (x[76]+x[77]+x[78])*q^6 + (x[79]+x[88]+x[91])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[97])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #58.2 : c = (1) |O_x_c^F| = 1/4*q^36*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,58,2] = (x[76]-x[77]+x[78])*q^6 + (x[79]+x[88]+x[91])*q^5 + (x[81]+x[82]+x[90]+x[94]+x[97])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #58.3 : c = (2) |O_x_c^F| = 1/4*q^36*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,58,3] = (x[76]+x[77]-x[78])*q^6 + (x[79]+x[88]-x[91])*q^5 + (x[81]+x[82]+x[90]+x[94]-x[97])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #58.4 : c = (12) |O_x_c^F| = 1/4*q^36*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,58,4] = (x[76]-x[77]-x[78])*q^6 + (x[79]+x[88]-x[91])*q^5 + (x[81]+x[82]+x[90]+x[94]-x[97])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #59 : [7, 7, 1, 1] dim = 102 A(O) = Z2 , |A(O)_0| = 2 g_s = V[12]+3*V[10]+V[8]+7*V[6]+V[4]+3*V[2]+2*V[0] Z_G(x)_0 = 2*O2 # Green Polys by orbit reps #59.1 : x[79] : [7, 7, 1, 1],[1] : [[3], [4, 1]] Qxi[D8,59,1] = (x[79])*q^5 + (x[81]+x[82]+x[90])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #59.2 : x[80] : [7, 7, 1, 1],[-1] : [[4], [3, 1]] Qxi[D8,59,2] = (x[80])*q^5 + (x[91]+x[92])*q^4 + (x[96]+x[97])*q^3 + (x[99])*q^2 # Green Polys by conj class in A(O) #59.1 : c = () |O_x_c^F| = 1/2*q^40*(q+1)^2*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,59,1] = (x[79]+x[80])*q^5 + (x[81]+x[82]+x[90]+x[91]+x[92])*q^4 + (x[92]+x[95]+x[96]+x[97])*q^3 + (x[97]+x[98]+x[99])*q^2 + (x[99])*q + x[100] #59.2 : c = (1) |O_x_c^F| = 1/2*q^40*(q-1)^2*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,59,2] = (x[79]-x[80])*q^5 + (x[81]+x[82]+x[90]-x[91]-x[92])*q^4 + (x[92]+x[95]-x[96]-x[97])*q^3 + (x[97]+x[98]-x[99])*q^2 + (x[99])*q + x[100] orbit #60 : [8, 8, 0] dim = 104 A(O) = 1 , |A(O)_0| = 1 g_s = V[14]+3*V[12]+V[10]+3*V[8]+V[6]+3*V[4]+V[2]+3*V[0] Z_G(x)_0 = Sp2 # Green Polys by orbit reps #60.1 : x[81] : [8, 8, 0],[] : [[4], [4], 2] Qxi[D8,60,1] = (x[81])*q^4 + (x[92])*q^3 + (x[97])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #60.1 : c = () |O_x_c^F| = q^42*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,60,1] = (x[81])*q^4 + (x[92])*q^3 + (x[97])*q^2 + (x[99])*q + x[100] orbit #61 : [8, 8] dim = 104 A(O) = 1 , |A(O)_0| = 1 g_s = V[14]+3*V[12]+V[10]+3*V[8]+V[6]+3*V[4]+V[2]+3*V[0] Z_G(x)_0 = Sp2 # Green Polys by orbit reps #61.1 : x[82] : [8, 8],[] : [[4], [4], 1] Qxi[D8,61,1] = (x[82])*q^4 + (x[92])*q^3 + (x[97])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #61.1 : c = () |O_x_c^F| = q^42*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,61,1] = (x[82])*q^4 + (x[92])*q^3 + (x[97])*q^2 + (x[99])*q + x[100] orbit #62 : [9, 1, 1, 1, 1, 1, 1, 1] dim = 88 A(O) = 1 , |A(O)_0| = 1 g_s = V[14]+V[10]+7*V[8]+V[6]+V[2]+21*V[0] Z_G(x)_0 = O7+O1 # Green Polys by orbit reps #62.1 : x[83] : [9, 1, 1, 1, 1, 1, 1, 1],[] : [[], [5, 1, 1, 1]] Qxi[D8,62,1] = (x[83])*q^12 + (x[85])*q^11 + (x[84]+x[87]+x[93])*q^10 + (x[85]+x[86]+x[88]+x[95])*q^9 + (x[84]+x[87]+x[90]+x[93]+x[94]+x[96])*q^8 + (x[85]+x[88]+x[91]+2*x[95])*q^7 + (x[87]+x[89]+x[90]+x[93]+x[94]+x[96]+x[97]+x[98])*q^6 + (x[88]+x[91]+2*x[95]+x[99])*q^5 + (x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #62.1 : c = () |O_x_c^F| = q^36*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,62,1] = (x[83])*q^12 + (x[85])*q^11 + (x[84]+x[87]+x[93])*q^10 + (x[85]+x[86]+x[88]+x[95])*q^9 + (x[84]+x[87]+x[90]+x[93]+x[94]+x[96])*q^8 + (x[85]+x[88]+x[91]+2*x[95])*q^7 + (x[87]+x[89]+x[90]+x[93]+x[94]+x[96]+x[97]+x[98])*q^6 + (x[88]+x[91]+2*x[95]+x[99])*q^5 + (x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #63 : [9, 2, 2, 1, 1, 1] dim = 96 A(O) = 1 , |A(O)_0| = 1 g_s = V[14]+V[10]+2*V[9]+3*V[8]+2*V[7]+V[6]+2*V[2]+6*V[1]+6*V[0] Z_G(x)_0 = Sp2+O3+O1 # Green Polys by orbit reps #63.1 : x[84] : [9, 2, 2, 1, 1, 1],[] : [[], [5, 2, 1]] Qxi[D8,63,1] = (x[84])*q^8 + (x[85]+x[88])*q^7 + (x[87]+x[89]+x[90]+x[93]+x[94])*q^6 + (x[88]+x[91]+2*x[95])*q^5 + (x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #63.1 : c = () |O_x_c^F| = q^36*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,63,1] = (x[84])*q^8 + (x[85]+x[88])*q^7 + (x[87]+x[89]+x[90]+x[93]+x[94])*q^6 + (x[88]+x[91]+2*x[95])*q^5 + (x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #64 : [9, 3, 1, 1, 1, 1] dim = 98 A(O) = Z2 , |A(O)_0| = 2 g_s = V[14]+2*V[10]+5*V[8]+2*V[6]+6*V[2]+6*V[0] Z_G(x)_0 = O4+2*O1 # Green Polys by orbit reps #64.1 : x[85] : [9, 3, 1, 1, 1, 1],[1] : [[1], [5, 1, 1]] Qxi[D8,64,1] = (x[85])*q^7 + (x[87]+x[90]+x[93])*q^6 + (x[88]+x[91]+2*x[95])*q^5 + (x[90]+x[94]+x[96]+x[97]+x[98])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #64.2 : x[86] : [9, 3, 1, 1, 1, 1],[-1] : [[1, 1, 1], [5]] Qxi[D8,64,2] = (x[86])*q^7 + (x[87]+x[96])*q^6 + (x[91]+x[95])*q^5 + (x[96]+x[97])*q^4 + (x[99])*q^3 # Green Polys by conj class in A(O) #64.1 : c = () |O_x_c^F| = 1/2*q^38*(q^2+1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,64,1] = (x[85]+x[86])*q^7 + (2*x[87]+x[90]+x[93]+x[96])*q^6 + (x[88]+2*x[91]+3*x[95])*q^5 + (x[90]+x[94]+2*x[96]+2*x[97]+x[98])*q^4 + (x[92]+x[95]+2*x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #64.2 : c = (1) |O_x_c^F| = 1/2*q^38*(q^2-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,64,2] = (x[85]-x[86])*q^7 + (x[90]+x[93]-x[96])*q^6 + (x[88]+x[95])*q^5 + (x[90]+x[94]+x[98])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #65 : [9, 3, 2, 2] dim = 100 A(O) = 1 , |A(O)_0| = 1 g_s = V[14]+2*V[10]+2*V[9]+V[8]+2*V[7]+2*V[6]+2*V[3]+3*V[2]+2*V[1]+3*V[0] Z_G(x)_0 = Sp2+2*O1 # Green Polys by orbit reps #65.1 : x[87] : [9, 3, 2, 2],[] : [[1, 1], [5, 1]] Qxi[D8,65,1] = (x[87])*q^6 + (x[88]+x[91]+x[95])*q^5 + (x[90]+x[94]+x[96]+x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #65.1 : c = () |O_x_c^F| = q^38*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,65,1] = (x[87])*q^6 + (x[88]+x[91]+x[95])*q^5 + (x[90]+x[94]+x[96]+x[97])*q^4 + (x[92]+x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #66 : [9, 3, 3, 1] dim = 102 A(O) = Z2 , |A(O)_0| = 2 g_s = V[14]+3*V[10]+3*V[8]+3*V[6]+V[4]+6*V[2]+V[0] Z_G(x)_0 = O2+2*O1 # Green Polys by orbit reps #66.1 : x[88] : [9, 3, 3, 1],[1] : [[1], [5, 2]] Qxi[D8,66,1] = (x[88])*q^5 + (x[90]+x[94])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #66.2 : x[89] : [9, 3, 3, 1],[-1] : [[], [5, 3]] Qxi[D8,66,2] = (x[89])*q^5 # Green Polys by conj class in A(O) #66.1 : c = () |O_x_c^F| = 1/2*q^39*(q+1)*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,66,1] = (x[88]+x[89])*q^5 + (x[90]+x[94])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #66.2 : c = (1) |O_x_c^F| = 1/2*q^39*(q-1)*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,66,2] = (x[88]-x[89])*q^5 + (x[90]+x[94])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #67 : [9, 5, 1, 1] dim = 104 A(O) = Z2 , |A(O)_0| = 2 g_s = V[14]+V[12]+2*V[10]+3*V[8]+3*V[6]+3*V[4]+2*V[2]+V[0] Z_G(x)_0 = O2+2*O1 # Green Polys by orbit reps #67.1 : x[90] : [9, 5, 1, 1],[1] : [[2], [5, 1]] Qxi[D8,67,1] = (x[90])*q^4 + (x[92]+x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #67.2 : x[91] : [9, 5, 1, 1],[-1] : [[2, 1], [5]] Qxi[D8,67,2] = (x[91])*q^4 + (x[96]+x[97])*q^3 + (x[99])*q^2 # Green Polys by conj class in A(O) #67.1 : c = () |O_x_c^F| = 1/2*q^41*(q+1)*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,67,1] = (x[90]+x[91])*q^4 + (x[92]+x[95]+x[96]+x[97])*q^3 + (x[97]+x[98]+x[99])*q^2 + (x[99])*q + x[100] #67.2 : c = (1) |O_x_c^F| = 1/2*q^41*(q-1)*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,67,2] = (x[90]-x[91])*q^4 + (x[92]+x[95]-x[96]-x[97])*q^3 + (x[97]+x[98]-x[99])*q^2 + (x[99])*q + x[100] orbit #68 : [9, 7] dim = 106 A(O) = 1 , |A(O)_0| = 1 g_s = 2*V[14]+V[12]+3*V[10]+V[8]+3*V[6]+V[4]+3*V[2] Z_G(x)_0 = 2*O1 # Green Polys by orbit reps #68.1 : x[92] : [9, 7],[] : [[3], [5]] Qxi[D8,68,1] = (x[92])*q^3 + (x[97])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #68.1 : c = () |O_x_c^F| = q^42*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,68,1] = (x[92])*q^3 + (x[97])*q^2 + (x[99])*q + x[100] orbit #69 : [11, 1, 1, 1, 1, 1] dim = 100 A(O) = 1 , |A(O)_0| = 1 g_s = V[18]+V[14]+6*V[10]+V[6]+V[2]+10*V[0] Z_G(x)_0 = O5+O1 # Green Polys by orbit reps #69.1 : x[93] : [11, 1, 1, 1, 1, 1],[] : [[], [6, 1, 1]] Qxi[D8,69,1] = (x[93])*q^6 + (x[95])*q^5 + (x[94]+x[96]+x[98])*q^4 + (x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #69.1 : c = () |O_x_c^F| = q^42*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,69,1] = (x[93])*q^6 + (x[95])*q^5 + (x[94]+x[96]+x[98])*q^4 + (x[95]+x[99])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #70 : [11, 2, 2, 1] dim = 104 A(O) = 1 , |A(O)_0| = 1 g_s = V[18]+V[14]+2*V[11]+2*V[10]+2*V[9]+V[6]+2*V[2]+2*V[1]+3*V[0] Z_G(x)_0 = Sp2+2*O1 # Green Polys by orbit reps #70.1 : x[94] : [11, 2, 2, 1],[] : [[], [6, 2]] Qxi[D8,70,1] = (x[94])*q^4 + (x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #70.1 : c = () |O_x_c^F| = q^42*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,70,1] = (x[94])*q^4 + (x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] orbit #71 : [11, 3, 1, 1] dim = 106 A(O) = Z2 , |A(O)_0| = 2 g_s = V[18]+V[14]+V[12]+4*V[10]+V[8]+V[6]+4*V[2]+V[0] Z_G(x)_0 = O2+2*O1 # Green Polys by orbit reps #71.1 : x[95] : [11, 3, 1, 1],[1] : [[1], [6, 1]] Qxi[D8,71,1] = (x[95])*q^3 + (x[97]+x[98])*q^2 + (x[99])*q + x[100] #71.2 : x[96] : [11, 3, 1, 1],[-1] : [[1, 1], [6]] Qxi[D8,71,2] = (x[96])*q^3 + (x[99])*q^2 # Green Polys by conj class in A(O) #71.1 : c = () |O_x_c^F| = 1/2*q^43*(q+1)*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,71,1] = (x[95]+x[96])*q^3 + (x[97]+x[98]+x[99])*q^2 + (x[99])*q + x[100] #71.2 : c = (1) |O_x_c^F| = 1/2*q^43*(q-1)*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,71,2] = (x[95]-x[96])*q^3 + (x[97]+x[98]-x[99])*q^2 + (x[99])*q + x[100] orbit #72 : [11, 5] dim = 108 A(O) = 1 , |A(O)_0| = 1 g_s = V[18]+2*V[14]+V[12]+2*V[10]+V[8]+3*V[6]+2*V[2] Z_G(x)_0 = 2*O1 # Green Polys by orbit reps #72.1 : x[97] : [11, 5],[] : [[2], [6]] Qxi[D8,72,1] = (x[97])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #72.1 : c = () |O_x_c^F| = q^44*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,72,1] = (x[97])*q^2 + (x[99])*q + x[100] orbit #73 : [13, 1, 1, 1] dim = 108 A(O) = 1 , |A(O)_0| = 1 g_s = V[22]+V[18]+V[14]+3*V[12]+V[10]+V[6]+V[2]+3*V[0] Z_G(x)_0 = O3+O1 # Green Polys by orbit reps #73.1 : x[98] : [13, 1, 1, 1],[] : [[], [7, 1]] Qxi[D8,73,1] = (x[98])*q^2 + (x[99])*q + x[100] # Green Polys by conj class in A(O) #73.1 : c = () |O_x_c^F| = q^46*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,73,1] = (x[98])*q^2 + (x[99])*q + x[100] orbit #74 : [13, 3] dim = 110 A(O) = 1 , |A(O)_0| = 1 g_s = V[22]+V[18]+2*V[14]+V[12]+2*V[10]+V[6]+2*V[2] Z_G(x)_0 = 2*O1 # Green Polys by orbit reps #74.1 : x[99] : [13, 3],[] : [[1], [7]] Qxi[D8,74,1] = (x[99])*q + x[100] # Green Polys by conj class in A(O) #74.1 : c = () |O_x_c^F| = q^46*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,74,1] = (x[99])*q + x[100] orbit #75 : [15, 1] dim = 112 A(O) = 1 , |A(O)_0| = 1 g_s = V[26]+V[22]+V[18]+2*V[14]+V[10]+V[6]+V[2] Z_G(x)_0 = 2*O1 # Green Polys by orbit reps #75.1 : x[100] : [15, 1],[] : [[], [8]] Qxi[D8,75,1] = x[100] # Green Polys by conj class in A(O) #75.1 : c = () |O_x_c^F| = q^48*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)^2*(q^10-1)*(q^12-1)*(q^14-1) Qxc[D8,75,1] = x[100]