#### Green Polynomials for C6 #### W-rep key: # x[1] = [[], [1, 1, 1, 1, 1, 1]] , orbit = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[2] = [[1, 1, 1, 1, 1, 1], []] , orbit = [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[3] = [[1], [1, 1, 1, 1, 1]] , orbit = [2, 2, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [1] # x[4] = [[], [2, 1, 1, 1, 1]] , orbit = [2, 2, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [-1] # x[5] = [[1, 1, 1, 1, 1], [1]] , orbit = [2, 2, 2, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[6] = [[1, 1], [1, 1, 1, 1]] , orbit = [2, 2, 2, 2, 1, 1, 1, 1] , A-rep = [1] # x[7] = [[], [2, 2, 1, 1]] , orbit = [2, 2, 2, 2, 1, 1, 1, 1] , A-rep = [-1] # x[8] = [[1, 1, 1, 1], [1, 1]] , orbit = [2, 2, 2, 2, 2, 1, 1] , A-rep = [] # x[9] = [[1, 1, 1], [1, 1, 1]] , orbit = [2, 2, 2, 2, 2, 2] , A-rep = [1] # x[10] = [[], [2, 2, 2]] , orbit = [2, 2, 2, 2, 2, 2] , A-rep = [-1] # x[11] = [[1], [2, 1, 1, 1]] , orbit = [3, 3, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[12] = [[1, 1, 1, 1], [2]] , orbit = [3, 3, 2, 1, 1, 1, 1] , A-rep = [] # x[13] = [[1, 1], [2, 1, 1]] , orbit = [3, 3, 2, 2, 1, 1] , A-rep = [1] # x[14] = [[1], [2, 2, 1]] , orbit = [3, 3, 2, 2, 1, 1] , A-rep = [-1] # x[15] = [[1, 1, 1], [2, 1]] , orbit = [3, 3, 2, 2, 2] , A-rep = [] # x[16] = [[1, 1], [2, 2]] , orbit = [3, 3, 3, 3] , A-rep = [] # x[17] = [[2, 1, 1, 1, 1], []] , orbit = [4, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[18] = [[2], [1, 1, 1, 1]] , orbit = [4, 2, 1, 1, 1, 1, 1, 1] , A-rep = [1] # x[19] = [[], [3, 1, 1, 1]] , orbit = [4, 2, 1, 1, 1, 1, 1, 1] , A-rep = [-1] # x[20] = [[2, 1, 1, 1], [1]] , orbit = [4, 2, 2, 1, 1, 1, 1] , A-rep = [1] # x[21] = [[2, 2, 1, 1], []] , orbit = [4, 2, 2, 1, 1, 1, 1] , A-rep = [-1] # x[22] = [[2, 1], [1, 1, 1]] , orbit = [4, 2, 2, 2, 1, 1] , A-rep = [1] # x[23] = [[], [3, 2, 1]] , orbit = [4, 2, 2, 2, 1, 1] , A-rep = [-1] # x[24] = [[2, 1, 1], [1, 1]] , orbit = [4, 2, 2, 2, 2] , A-rep = [1] # x[25] = [[2, 2, 2], []] , orbit = [4, 2, 2, 2, 2] , A-rep = [-1] # x[26] = [[2, 2, 1], [1]] , orbit = [4, 3, 3, 1, 1] , A-rep = [] # x[27] = [[2, 2], [1, 1]] , orbit = [4, 3, 3, 2] , A-rep = [1] # x[28] = [[], [3, 3]] , orbit = [4, 3, 3, 2] , A-rep = [-1] # x[29] = [[2], [2, 1, 1]] , orbit = [4, 4, 1, 1, 1, 1] , A-rep = [1] # x[30] = [[1], [3, 1, 1]] , orbit = [4, 4, 1, 1, 1, 1] , A-rep = [-1] # x[31] = [[2, 1, 1], [2]] , orbit = [4, 4, 2, 1, 1] , A-rep = [1] # x[32] = [[1, 1, 1], [3]] , orbit = [4, 4, 2, 1, 1] , A-rep = [-1] # x[33] = [[2, 1], [2, 1]] , orbit = [4, 4, 2, 2] , A-rep = [1, 1] # x[34] = [[1, 1], [3, 1]] , orbit = [4, 4, 2, 2] , A-rep = [-1, 1] # x[35] = [[2], [2, 2]] , orbit = [4, 4, 2, 2] , A-rep = [1, -1] # x[36] = [[1], [3, 2]] , orbit = [4, 4, 2, 2] , A-rep = [-1, -1] # x[37] = [[2, 2], [2]] , orbit = [4, 4, 4] , A-rep = [] # x[38] = [[2], [3, 1]] , orbit = [5, 5, 1, 1] , A-rep = [] # x[39] = [[2, 1], [3]] , orbit = [5, 5, 2] , A-rep = [] # x[40] = [[3, 1, 1, 1], []] , orbit = [6, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[41] = [[3], [1, 1, 1]] , orbit = [6, 2, 1, 1, 1, 1] , A-rep = [1] # x[42] = [[], [4, 1, 1]] , orbit = [6, 2, 1, 1, 1, 1] , A-rep = [-1] # x[43] = [[3, 1, 1], [1]] , orbit = [6, 2, 2, 1, 1] , A-rep = [1] # x[44] = [[3, 2, 1], []] , orbit = [6, 2, 2, 1, 1] , A-rep = [-1] # x[45] = [[3, 1], [1, 1]] , orbit = [6, 2, 2, 2] , A-rep = [1] # x[46] = [[], [4, 2]] , orbit = [6, 2, 2, 2] , A-rep = [-1] # x[47] = [[3, 2], [1]] , orbit = [6, 3, 3] , A-rep = [] # x[48] = [[3], [2, 1]] , orbit = [6, 4, 1, 1] , A-rep = [1] # x[49] = [[1], [4, 1]] , orbit = [6, 4, 1, 1] , A-rep = [-1] # x[50] = [[3, 1], [2]] , orbit = [6, 4, 2] , A-rep = [1, 1] # x[51] = [[3, 3], []] , orbit = [6, 4, 2] , A-rep = [-1, 1] # x[52] = [[1, 1], [4]] , orbit = [6, 4, 2] , A-rep = [1, -1] # x[53] = [[3], [3]] , orbit = [6, 6] , A-rep = [1] # x[54] = [[2], [4]] , orbit = [6, 6] , A-rep = [-1] # x[55] = [[4, 1, 1], []] , orbit = [8, 1, 1, 1, 1] , A-rep = [] # x[56] = [[4], [1, 1]] , orbit = [8, 2, 1, 1] , A-rep = [1] # x[57] = [[], [5, 1]] , orbit = [8, 2, 1, 1] , A-rep = [-1] # x[58] = [[4, 1], [1]] , orbit = [8, 2, 2] , A-rep = [1] # x[59] = [[4, 2], []] , orbit = [8, 2, 2] , A-rep = [-1] # x[60] = [[4], [2]] , orbit = [8, 4] , A-rep = [1] # x[61] = [[1], [5]] , orbit = [8, 4] , A-rep = [-1] # x[62] = [[5, 1], []] , orbit = [10, 1, 1] , A-rep = [] # x[63] = [[5], [1]] , orbit = [10, 2] , A-rep = [1] # x[64] = [[], [6]] , orbit = [10, 2] , A-rep = [-1] # x[65] = [[6], []] , orbit = [12] , A-rep = [] ### Green Polynomials by Orbit orbit #1 : [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] dim = 0 A(O) = 1 , |A(O)_0| = 1 g_s = 78*V[0] Z_G(x)_0 = C6 # Green Polys by orbit reps #1.1 : x[1] : [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[6], []] Qxi[C6,1,1] = (x[1])*q^36 + (x[3])*q^35 + (x[4]+x[6])*q^34 + (x[3]+x[9]+x[11])*q^33 + (x[4]+x[6]+x[7]+x[8]+x[13]+x[18])*q^32 + (x[3]+x[5]+x[9]+2*x[11]+x[14]+x[15]+x[22])*q^31 + (x[2]+x[4]+2*x[6]+x[7]+x[8]+x[10]+x[12]+2*x[13]+x[16]+x[18]+x[19]+x[24]+x[29])*q^30 + (x[3]+x[5]+2*x[9]+3*x[11]+2*x[14]+2*x[15]+x[20]+2*x[22]+x[30]+x[33])*q^29 + (x[4]+2*x[6]+2*x[7]+2*x[8]+x[12]+4*x[13]+x[16]+x[17]+2*x[18]+x[19]+x[23]+2*x[24]+x[27]+2*x[29]+x[31]+x[34]+x[35])*q^28 + (x[3]+x[5]+3*x[9]+4*x[11]+3*x[14]+3*x[15]+2*x[20]+3*x[22]+x[26]+2*x[30]+x[32]+3*x[33]+x[36]+x[41])*q^27 + (x[4]+3*x[6]+x[7]+2*x[8]+x[10]+2*x[12]+5*x[13]+3*x[16]+x[17]+2*x[18]+2*x[19]+x[21]+2*x[23]+4*x[24]+x[27]+4*x[29]+2*x[31]+2*x[34]+x[35]+x[37]+x[38]+x[45])*q^26 + (x[3]+x[5]+3*x[9]+4*x[11]+4*x[14]+5*x[15]+3*x[20]+5*x[22]+2*x[26]+4*x[30]+x[32]+5*x[33]+2*x[36]+x[39]+x[41]+x[43]+x[48])*q^25 + (2*x[6]+2*x[7]+3*x[8]+x[10]+2*x[12]+7*x[13]+3*x[16]+x[17]+3*x[18]+2*x[19]+x[21]+2*x[23]+5*x[24]+x[25]+3*x[27]+x[28]+5*x[29]+4*x[31]+4*x[34]+3*x[35]+x[37]+2*x[38]+x[40]+x[42]+2*x[45]+x[50])*q^24 + (x[5]+3*x[9]+4*x[11]+5*x[14]+6*x[15]+4*x[20]+6*x[22]+3*x[26]+5*x[30]+2*x[32]+8*x[33]+3*x[36]+2*x[39]+2*x[41]+2*x[43]+x[47]+2*x[48]+x[49])*q^23 + (2*x[6]+x[7]+2*x[8]+x[10]+3*x[12]+7*x[13]+5*x[16]+x[17]+2*x[18]+2*x[19]+2*x[21]+3*x[23]+7*x[24]+3*x[27]+7*x[29]+5*x[31]+5*x[34]+3*x[35]+3*x[37]+4*x[38]+x[40]+x[42]+x[44]+4*x[45]+x[46]+2*x[50]+x[52])*q^22 + (x[5]+3*x[9]+3*x[11]+5*x[14]+6*x[15]+4*x[20]+6*x[22]+4*x[26]+6*x[30]+3*x[32]+11*x[33]+4*x[36]+3*x[39]+3*x[41]+4*x[43]+2*x[47]+3*x[48]+2*x[49]+x[53])*q^21 + (x[6]+x[7]+2*x[8]+2*x[12]+7*x[13]+4*x[16]+x[17]+2*x[18]+x[19]+x[21]+3*x[23]+7*x[24]+x[25]+5*x[27]+x[28]+7*x[29]+7*x[31]+7*x[34]+5*x[35]+3*x[37]+5*x[38]+2*x[40]+2*x[42]+2*x[44]+5*x[45]+x[46]+4*x[50]+x[52]+x[54]+x[56])*q^20 + (2*x[9]+2*x[11]+4*x[14]+6*x[15]+4*x[20]+6*x[22]+5*x[26]+6*x[30]+3*x[32]+12*x[33]+5*x[36]+5*x[39]+3*x[41]+5*x[43]+3*x[47]+5*x[48]+3*x[49]+x[53]+x[58])*q^19 + (x[6]+x[8]+x[10]+2*x[12]+5*x[13]+5*x[16]+x[18]+x[19]+2*x[21]+2*x[23]+7*x[24]+x[25]+4*x[27]+x[28]+7*x[29]+7*x[31]+7*x[34]+4*x[35]+5*x[37]+7*x[38]+2*x[40]+2*x[42]+2*x[44]+7*x[45]+2*x[46]+5*x[50]+x[51]+2*x[52]+x[54]+x[55]+x[56]+x[60])*q^18 + (x[9]+x[11]+3*x[14]+5*x[15]+3*x[20]+5*x[22]+5*x[26]+5*x[30]+3*x[32]+12*x[33]+5*x[36]+6*x[39]+3*x[41]+6*x[43]+4*x[47]+6*x[48]+4*x[49]+2*x[53]+2*x[58])*q^17 + (x[8]+x[12]+4*x[13]+3*x[16]+x[18]+x[21]+2*x[23]+5*x[24]+x[25]+5*x[27]+x[28]+5*x[29]+7*x[31]+7*x[34]+5*x[35]+4*x[37]+7*x[38]+2*x[40]+2*x[42]+3*x[44]+7*x[45]+x[46]+7*x[50]+2*x[52]+2*x[54]+x[55]+2*x[56]+x[57]+x[59]+x[60])*q^16 + (x[9]+2*x[14]+3*x[15]+2*x[20]+3*x[22]+4*x[26]+4*x[30]+3*x[32]+11*x[33]+4*x[36]+6*x[39]+3*x[41]+6*x[43]+5*x[47]+6*x[48]+4*x[49]+3*x[53]+3*x[58]+x[61])*q^15 + (x[12]+2*x[13]+3*x[16]+x[21]+x[23]+4*x[24]+3*x[27]+4*x[29]+5*x[31]+5*x[34]+3*x[35]+5*x[37]+7*x[38]+x[40]+x[42]+3*x[44]+7*x[45]+2*x[46]+7*x[50]+x[51]+3*x[52]+2*x[54]+2*x[55]+2*x[56]+x[57]+x[59]+2*x[60])*q^14 + (x[14]+2*x[15]+x[20]+2*x[22]+3*x[26]+2*x[30]+2*x[32]+8*x[33]+3*x[36]+6*x[39]+2*x[41]+5*x[43]+5*x[47]+6*x[48]+4*x[49]+3*x[53]+4*x[58]+x[61])*q^13 + (x[13]+x[16]+2*x[24]+x[25]+3*x[27]+x[28]+2*x[29]+4*x[31]+4*x[34]+3*x[35]+3*x[37]+5*x[38]+x[40]+x[42]+2*x[44]+5*x[45]+x[46]+7*x[50]+x[51]+2*x[52]+3*x[54]+2*x[55]+3*x[56]+x[57]+2*x[59]+2*x[60])*q^12 + (x[15]+x[22]+2*x[26]+x[30]+x[32]+5*x[33]+2*x[36]+5*x[39]+x[41]+4*x[43]+4*x[47]+5*x[48]+3*x[49]+3*x[53]+4*x[58]+x[61]+x[63])*q^11 + (x[16]+x[24]+x[27]+x[29]+2*x[31]+2*x[34]+x[35]+3*x[37]+4*x[38]+2*x[44]+4*x[45]+x[46]+5*x[50]+x[51]+2*x[52]+2*x[54]+2*x[55]+2*x[56]+x[57]+x[59]+3*x[60]+x[62])*q^10 + (x[26]+x[32]+3*x[33]+x[36]+3*x[39]+x[41]+2*x[43]+3*x[47]+3*x[48]+2*x[49]+3*x[53]+4*x[58]+x[61]+x[63])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+2*x[38]+x[44]+2*x[45]+4*x[50]+x[52]+2*x[54]+x[55]+2*x[56]+x[57]+2*x[59]+2*x[60]+x[62])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+x[49]+2*x[53]+3*x[58]+x[61]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[56]+x[59]+2*x[60]+x[62]+x[64])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] # Green Polys by conj class in A(O) #1.1 : c = () |O_x_c^F| = 1 Qxc[C6,1,1] = (x[1])*q^36 + (x[3])*q^35 + (x[4]+x[6])*q^34 + (x[3]+x[9]+x[11])*q^33 + (x[4]+x[6]+x[7]+x[8]+x[13]+x[18])*q^32 + (x[3]+x[5]+x[9]+2*x[11]+x[14]+x[15]+x[22])*q^31 + (x[2]+x[4]+2*x[6]+x[7]+x[8]+x[10]+x[12]+2*x[13]+x[16]+x[18]+x[19]+x[24]+x[29])*q^30 + (x[3]+x[5]+2*x[9]+3*x[11]+2*x[14]+2*x[15]+x[20]+2*x[22]+x[30]+x[33])*q^29 + (x[4]+2*x[6]+2*x[7]+2*x[8]+x[12]+4*x[13]+x[16]+x[17]+2*x[18]+x[19]+x[23]+2*x[24]+x[27]+2*x[29]+x[31]+x[34]+x[35])*q^28 + (x[3]+x[5]+3*x[9]+4*x[11]+3*x[14]+3*x[15]+2*x[20]+3*x[22]+x[26]+2*x[30]+x[32]+3*x[33]+x[36]+x[41])*q^27 + (x[4]+3*x[6]+x[7]+2*x[8]+x[10]+2*x[12]+5*x[13]+3*x[16]+x[17]+2*x[18]+2*x[19]+x[21]+2*x[23]+4*x[24]+x[27]+4*x[29]+2*x[31]+2*x[34]+x[35]+x[37]+x[38]+x[45])*q^26 + (x[3]+x[5]+3*x[9]+4*x[11]+4*x[14]+5*x[15]+3*x[20]+5*x[22]+2*x[26]+4*x[30]+x[32]+5*x[33]+2*x[36]+x[39]+x[41]+x[43]+x[48])*q^25 + (2*x[6]+2*x[7]+3*x[8]+x[10]+2*x[12]+7*x[13]+3*x[16]+x[17]+3*x[18]+2*x[19]+x[21]+2*x[23]+5*x[24]+x[25]+3*x[27]+x[28]+5*x[29]+4*x[31]+4*x[34]+3*x[35]+x[37]+2*x[38]+x[40]+x[42]+2*x[45]+x[50])*q^24 + (x[5]+3*x[9]+4*x[11]+5*x[14]+6*x[15]+4*x[20]+6*x[22]+3*x[26]+5*x[30]+2*x[32]+8*x[33]+3*x[36]+2*x[39]+2*x[41]+2*x[43]+x[47]+2*x[48]+x[49])*q^23 + (2*x[6]+x[7]+2*x[8]+x[10]+3*x[12]+7*x[13]+5*x[16]+x[17]+2*x[18]+2*x[19]+2*x[21]+3*x[23]+7*x[24]+3*x[27]+7*x[29]+5*x[31]+5*x[34]+3*x[35]+3*x[37]+4*x[38]+x[40]+x[42]+x[44]+4*x[45]+x[46]+2*x[50]+x[52])*q^22 + (x[5]+3*x[9]+3*x[11]+5*x[14]+6*x[15]+4*x[20]+6*x[22]+4*x[26]+6*x[30]+3*x[32]+11*x[33]+4*x[36]+3*x[39]+3*x[41]+4*x[43]+2*x[47]+3*x[48]+2*x[49]+x[53])*q^21 + (x[6]+x[7]+2*x[8]+2*x[12]+7*x[13]+4*x[16]+x[17]+2*x[18]+x[19]+x[21]+3*x[23]+7*x[24]+x[25]+5*x[27]+x[28]+7*x[29]+7*x[31]+7*x[34]+5*x[35]+3*x[37]+5*x[38]+2*x[40]+2*x[42]+2*x[44]+5*x[45]+x[46]+4*x[50]+x[52]+x[54]+x[56])*q^20 + (2*x[9]+2*x[11]+4*x[14]+6*x[15]+4*x[20]+6*x[22]+5*x[26]+6*x[30]+3*x[32]+12*x[33]+5*x[36]+5*x[39]+3*x[41]+5*x[43]+3*x[47]+5*x[48]+3*x[49]+x[53]+x[58])*q^19 + (x[6]+x[8]+x[10]+2*x[12]+5*x[13]+5*x[16]+x[18]+x[19]+2*x[21]+2*x[23]+7*x[24]+x[25]+4*x[27]+x[28]+7*x[29]+7*x[31]+7*x[34]+4*x[35]+5*x[37]+7*x[38]+2*x[40]+2*x[42]+2*x[44]+7*x[45]+2*x[46]+5*x[50]+x[51]+2*x[52]+x[54]+x[55]+x[56]+x[60])*q^18 + (x[9]+x[11]+3*x[14]+5*x[15]+3*x[20]+5*x[22]+5*x[26]+5*x[30]+3*x[32]+12*x[33]+5*x[36]+6*x[39]+3*x[41]+6*x[43]+4*x[47]+6*x[48]+4*x[49]+2*x[53]+2*x[58])*q^17 + (x[8]+x[12]+4*x[13]+3*x[16]+x[18]+x[21]+2*x[23]+5*x[24]+x[25]+5*x[27]+x[28]+5*x[29]+7*x[31]+7*x[34]+5*x[35]+4*x[37]+7*x[38]+2*x[40]+2*x[42]+3*x[44]+7*x[45]+x[46]+7*x[50]+2*x[52]+2*x[54]+x[55]+2*x[56]+x[57]+x[59]+x[60])*q^16 + (x[9]+2*x[14]+3*x[15]+2*x[20]+3*x[22]+4*x[26]+4*x[30]+3*x[32]+11*x[33]+4*x[36]+6*x[39]+3*x[41]+6*x[43]+5*x[47]+6*x[48]+4*x[49]+3*x[53]+3*x[58]+x[61])*q^15 + (x[12]+2*x[13]+3*x[16]+x[21]+x[23]+4*x[24]+3*x[27]+4*x[29]+5*x[31]+5*x[34]+3*x[35]+5*x[37]+7*x[38]+x[40]+x[42]+3*x[44]+7*x[45]+2*x[46]+7*x[50]+x[51]+3*x[52]+2*x[54]+2*x[55]+2*x[56]+x[57]+x[59]+2*x[60])*q^14 + (x[14]+2*x[15]+x[20]+2*x[22]+3*x[26]+2*x[30]+2*x[32]+8*x[33]+3*x[36]+6*x[39]+2*x[41]+5*x[43]+5*x[47]+6*x[48]+4*x[49]+3*x[53]+4*x[58]+x[61])*q^13 + (x[13]+x[16]+2*x[24]+x[25]+3*x[27]+x[28]+2*x[29]+4*x[31]+4*x[34]+3*x[35]+3*x[37]+5*x[38]+x[40]+x[42]+2*x[44]+5*x[45]+x[46]+7*x[50]+x[51]+2*x[52]+3*x[54]+2*x[55]+3*x[56]+x[57]+2*x[59]+2*x[60])*q^12 + (x[15]+x[22]+2*x[26]+x[30]+x[32]+5*x[33]+2*x[36]+5*x[39]+x[41]+4*x[43]+4*x[47]+5*x[48]+3*x[49]+3*x[53]+4*x[58]+x[61]+x[63])*q^11 + (x[16]+x[24]+x[27]+x[29]+2*x[31]+2*x[34]+x[35]+3*x[37]+4*x[38]+2*x[44]+4*x[45]+x[46]+5*x[50]+x[51]+2*x[52]+2*x[54]+2*x[55]+2*x[56]+x[57]+x[59]+3*x[60]+x[62])*q^10 + (x[26]+x[32]+3*x[33]+x[36]+3*x[39]+x[41]+2*x[43]+3*x[47]+3*x[48]+2*x[49]+3*x[53]+4*x[58]+x[61]+x[63])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+2*x[38]+x[44]+2*x[45]+4*x[50]+x[52]+2*x[54]+x[55]+2*x[56]+x[57]+2*x[59]+2*x[60]+x[62])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+x[49]+2*x[53]+3*x[58]+x[61]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[56]+x[59]+2*x[60]+x[62]+x[64])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #2 : [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] dim = 12 A(O) = 1 , |A(O)_0| = 1 g_s = 10*V[1]+V[2]+55*V[0] Z_G(x)_0 = Sp10+O1 # Green Polys by orbit reps #2.1 : x[2] : [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[1, 1, 1, 1, 1, 1], []] Qxi[C6,2,1] = (x[2])*q^30 + (x[5])*q^29 + (x[8]+x[17])*q^28 + (x[5]+x[9]+x[20])*q^27 + (x[6]+x[8]+x[12]+x[17]+x[21]+x[24])*q^26 + (x[3]+x[5]+x[9]+x[15]+2*x[20]+x[22]+x[26])*q^25 + (x[6]+2*x[8]+x[12]+x[13]+x[17]+x[18]+x[21]+2*x[24]+x[25]+x[27]+x[31]+x[40])*q^24 + (x[5]+2*x[9]+x[11]+2*x[15]+3*x[20]+2*x[22]+2*x[26]+x[33]+x[43])*q^23 + (x[6]+2*x[8]+2*x[12]+2*x[13]+x[16]+x[17]+x[18]+2*x[21]+4*x[24]+x[27]+x[29]+2*x[31]+x[37]+x[40]+x[44]+x[45])*q^22 + (x[5]+2*x[9]+x[11]+x[14]+3*x[15]+4*x[20]+3*x[22]+3*x[26]+x[32]+3*x[33]+x[41]+2*x[43]+x[47])*q^21 + (x[6]+2*x[8]+2*x[12]+3*x[13]+x[16]+x[17]+x[18]+x[21]+5*x[24]+x[25]+3*x[27]+2*x[29]+4*x[31]+x[34]+x[35]+x[37]+2*x[40]+2*x[44]+2*x[45]+x[50])*q^20 + (2*x[9]+x[11]+x[14]+4*x[15]+4*x[20]+4*x[22]+4*x[26]+x[30]+x[32]+5*x[33]+x[39]+x[41]+4*x[43]+2*x[47]+x[48])*q^19 + (x[6]+x[8]+2*x[12]+3*x[13]+2*x[16]+x[18]+2*x[21]+6*x[24]+x[25]+3*x[27]+3*x[29]+5*x[31]+2*x[34]+x[35]+3*x[37]+x[38]+2*x[40]+2*x[44]+4*x[45]+2*x[50]+x[51]+x[55])*q^18 + (x[9]+x[11]+x[14]+4*x[15]+3*x[20]+4*x[22]+5*x[26]+x[30]+2*x[32]+7*x[33]+x[36]+2*x[39]+2*x[41]+5*x[43]+3*x[47]+2*x[48]+x[58])*q^17 + (x[8]+x[12]+3*x[13]+2*x[16]+x[18]+x[21]+5*x[24]+x[25]+4*x[27]+3*x[29]+6*x[31]+3*x[34]+2*x[35]+3*x[37]+2*x[38]+2*x[40]+3*x[44]+5*x[45]+4*x[50]+x[55]+x[56]+x[59])*q^16 + (x[9]+x[14]+3*x[15]+2*x[20]+3*x[22]+4*x[26]+2*x[30]+2*x[32]+8*x[33]+x[36]+3*x[39]+2*x[41]+6*x[43]+4*x[47]+3*x[48]+x[53]+2*x[58])*q^15 + (x[12]+2*x[13]+2*x[16]+x[21]+4*x[24]+3*x[27]+3*x[29]+5*x[31]+3*x[34]+2*x[35]+4*x[37]+3*x[38]+x[40]+3*x[44]+6*x[45]+5*x[50]+x[51]+x[52]+2*x[55]+x[56]+x[59]+x[60])*q^14 + (x[14]+2*x[15]+x[20]+2*x[22]+3*x[26]+x[30]+2*x[32]+7*x[33]+x[36]+4*x[39]+2*x[41]+5*x[43]+5*x[47]+4*x[48]+x[49]+x[53]+3*x[58])*q^13 + (x[13]+x[16]+2*x[24]+x[25]+3*x[27]+2*x[29]+4*x[31]+3*x[34]+2*x[35]+3*x[37]+3*x[38]+x[40]+2*x[44]+5*x[45]+6*x[50]+x[51]+x[52]+x[54]+2*x[55]+2*x[56]+2*x[59]+x[60])*q^12 + (x[15]+x[22]+2*x[26]+x[30]+x[32]+5*x[33]+x[36]+4*x[39]+x[41]+4*x[43]+4*x[47]+4*x[48]+x[49]+2*x[53]+4*x[58])*q^11 + (x[16]+x[24]+x[27]+x[29]+2*x[31]+2*x[34]+x[35]+3*x[37]+3*x[38]+2*x[44]+4*x[45]+5*x[50]+x[51]+x[52]+x[54]+2*x[55]+2*x[56]+x[59]+2*x[60]+x[62])*q^10 + (x[26]+x[32]+3*x[33]+x[36]+3*x[39]+x[41]+2*x[43]+3*x[47]+3*x[48]+x[49]+2*x[53]+4*x[58]+x[63])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+2*x[38]+x[44]+2*x[45]+4*x[50]+x[52]+x[54]+x[55]+2*x[56]+2*x[59]+2*x[60]+x[62])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+x[49]+2*x[53]+3*x[58]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[56]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] # Green Polys by conj class in A(O) #2.1 : c = () |O_x_c^F| = q^12-1 Qxc[C6,2,1] = (x[2])*q^30 + (x[5])*q^29 + (x[8]+x[17])*q^28 + (x[5]+x[9]+x[20])*q^27 + (x[6]+x[8]+x[12]+x[17]+x[21]+x[24])*q^26 + (x[3]+x[5]+x[9]+x[15]+2*x[20]+x[22]+x[26])*q^25 + (x[6]+2*x[8]+x[12]+x[13]+x[17]+x[18]+x[21]+2*x[24]+x[25]+x[27]+x[31]+x[40])*q^24 + (x[5]+2*x[9]+x[11]+2*x[15]+3*x[20]+2*x[22]+2*x[26]+x[33]+x[43])*q^23 + (x[6]+2*x[8]+2*x[12]+2*x[13]+x[16]+x[17]+x[18]+2*x[21]+4*x[24]+x[27]+x[29]+2*x[31]+x[37]+x[40]+x[44]+x[45])*q^22 + (x[5]+2*x[9]+x[11]+x[14]+3*x[15]+4*x[20]+3*x[22]+3*x[26]+x[32]+3*x[33]+x[41]+2*x[43]+x[47])*q^21 + (x[6]+2*x[8]+2*x[12]+3*x[13]+x[16]+x[17]+x[18]+x[21]+5*x[24]+x[25]+3*x[27]+2*x[29]+4*x[31]+x[34]+x[35]+x[37]+2*x[40]+2*x[44]+2*x[45]+x[50])*q^20 + (2*x[9]+x[11]+x[14]+4*x[15]+4*x[20]+4*x[22]+4*x[26]+x[30]+x[32]+5*x[33]+x[39]+x[41]+4*x[43]+2*x[47]+x[48])*q^19 + (x[6]+x[8]+2*x[12]+3*x[13]+2*x[16]+x[18]+2*x[21]+6*x[24]+x[25]+3*x[27]+3*x[29]+5*x[31]+2*x[34]+x[35]+3*x[37]+x[38]+2*x[40]+2*x[44]+4*x[45]+2*x[50]+x[51]+x[55])*q^18 + (x[9]+x[11]+x[14]+4*x[15]+3*x[20]+4*x[22]+5*x[26]+x[30]+2*x[32]+7*x[33]+x[36]+2*x[39]+2*x[41]+5*x[43]+3*x[47]+2*x[48]+x[58])*q^17 + (x[8]+x[12]+3*x[13]+2*x[16]+x[18]+x[21]+5*x[24]+x[25]+4*x[27]+3*x[29]+6*x[31]+3*x[34]+2*x[35]+3*x[37]+2*x[38]+2*x[40]+3*x[44]+5*x[45]+4*x[50]+x[55]+x[56]+x[59])*q^16 + (x[9]+x[14]+3*x[15]+2*x[20]+3*x[22]+4*x[26]+2*x[30]+2*x[32]+8*x[33]+x[36]+3*x[39]+2*x[41]+6*x[43]+4*x[47]+3*x[48]+x[53]+2*x[58])*q^15 + (x[12]+2*x[13]+2*x[16]+x[21]+4*x[24]+3*x[27]+3*x[29]+5*x[31]+3*x[34]+2*x[35]+4*x[37]+3*x[38]+x[40]+3*x[44]+6*x[45]+5*x[50]+x[51]+x[52]+2*x[55]+x[56]+x[59]+x[60])*q^14 + (x[14]+2*x[15]+x[20]+2*x[22]+3*x[26]+x[30]+2*x[32]+7*x[33]+x[36]+4*x[39]+2*x[41]+5*x[43]+5*x[47]+4*x[48]+x[49]+x[53]+3*x[58])*q^13 + (x[13]+x[16]+2*x[24]+x[25]+3*x[27]+2*x[29]+4*x[31]+3*x[34]+2*x[35]+3*x[37]+3*x[38]+x[40]+2*x[44]+5*x[45]+6*x[50]+x[51]+x[52]+x[54]+2*x[55]+2*x[56]+2*x[59]+x[60])*q^12 + (x[15]+x[22]+2*x[26]+x[30]+x[32]+5*x[33]+x[36]+4*x[39]+x[41]+4*x[43]+4*x[47]+4*x[48]+x[49]+2*x[53]+4*x[58])*q^11 + (x[16]+x[24]+x[27]+x[29]+2*x[31]+2*x[34]+x[35]+3*x[37]+3*x[38]+2*x[44]+4*x[45]+5*x[50]+x[51]+x[52]+x[54]+2*x[55]+2*x[56]+x[59]+2*x[60]+x[62])*q^10 + (x[26]+x[32]+3*x[33]+x[36]+3*x[39]+x[41]+2*x[43]+3*x[47]+3*x[48]+x[49]+2*x[53]+4*x[58]+x[63])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+2*x[38]+x[44]+2*x[45]+4*x[50]+x[52]+x[54]+x[55]+2*x[56]+2*x[59]+2*x[60]+x[62])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+x[49]+2*x[53]+3*x[58]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[56]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #3 : [2, 2, 1, 1, 1, 1, 1, 1, 1, 1] dim = 22 A(O) = Z2 , |A(O)_0| = 2 g_s = 16*V[1]+3*V[2]+37*V[0] Z_G(x)_0 = Sp8+O2 # Green Polys by orbit reps #3.1 : x[3] : [2, 2, 1, 1, 1, 1, 1, 1, 1, 1],[1] : [[1], [1, 1, 1, 1, 1]] Qxi[C6,3,1] = (x[3])*q^25 + (x[6]+x[18])*q^24 + (x[9]+x[11]+x[22])*q^23 + (x[6]+x[8]+x[13]+x[18]+x[24]+x[29])*q^22 + (x[5]+x[9]+x[11]+x[14]+x[15]+x[20]+2*x[22]+x[33]+x[41])*q^21 + (x[6]+x[8]+x[12]+2*x[13]+x[16]+x[17]+x[18]+2*x[24]+x[27]+2*x[29]+x[31]+x[35]+x[45])*q^20 + (2*x[9]+x[11]+x[14]+2*x[15]+2*x[20]+3*x[22]+x[26]+x[30]+3*x[33]+x[41]+x[43]+x[48])*q^19 + (x[6]+x[8]+x[12]+3*x[13]+x[16]+x[18]+x[21]+4*x[24]+2*x[27]+3*x[29]+2*x[31]+x[34]+x[35]+x[37]+x[38]+x[40]+2*x[45]+x[50])*q^18 + (x[9]+x[11]+x[14]+3*x[15]+2*x[20]+4*x[22]+3*x[26]+x[30]+x[32]+5*x[33]+x[36]+x[39]+2*x[41]+2*x[43]+x[47]+2*x[48])*q^17 + (x[8]+x[12]+3*x[13]+2*x[16]+x[18]+x[21]+4*x[24]+x[25]+3*x[27]+3*x[29]+4*x[31]+2*x[34]+2*x[35]+2*x[37]+2*x[38]+x[40]+x[44]+4*x[45]+2*x[50]+x[56])*q^16 + (x[9]+x[14]+3*x[15]+2*x[20]+3*x[22]+3*x[26]+2*x[30]+x[32]+7*x[33]+x[36]+2*x[39]+2*x[41]+4*x[43]+2*x[47]+3*x[48]+x[53]+x[58])*q^15 + (x[12]+2*x[13]+2*x[16]+x[21]+4*x[24]+3*x[27]+3*x[29]+4*x[31]+3*x[34]+2*x[35]+3*x[37]+3*x[38]+x[40]+2*x[44]+5*x[45]+4*x[50]+x[55]+x[56]+x[60])*q^14 + (x[14]+2*x[15]+x[20]+2*x[22]+3*x[26]+x[30]+2*x[32]+7*x[33]+x[36]+3*x[39]+2*x[41]+4*x[43]+4*x[47]+4*x[48]+x[49]+x[53]+2*x[58])*q^13 + (x[13]+x[16]+2*x[24]+x[25]+3*x[27]+2*x[29]+4*x[31]+3*x[34]+2*x[35]+3*x[37]+3*x[38]+x[40]+2*x[44]+5*x[45]+5*x[50]+x[51]+x[52]+x[54]+x[55]+2*x[56]+x[59]+x[60])*q^12 + (x[15]+x[22]+2*x[26]+x[30]+x[32]+5*x[33]+x[36]+4*x[39]+x[41]+4*x[43]+4*x[47]+4*x[48]+x[49]+2*x[53]+3*x[58])*q^11 + (x[16]+x[24]+x[27]+x[29]+2*x[31]+2*x[34]+x[35]+3*x[37]+3*x[38]+2*x[44]+4*x[45]+5*x[50]+x[51]+x[52]+x[54]+2*x[55]+2*x[56]+x[59]+2*x[60])*q^10 + (x[26]+x[32]+3*x[33]+x[36]+3*x[39]+x[41]+2*x[43]+3*x[47]+3*x[48]+x[49]+2*x[53]+4*x[58]+x[63])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+2*x[38]+x[44]+2*x[45]+4*x[50]+x[52]+x[54]+x[55]+2*x[56]+2*x[59]+2*x[60]+x[62])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+x[49]+2*x[53]+3*x[58]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[56]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #3.2 : x[4] : [2, 2, 1, 1, 1, 1, 1, 1, 1, 1],[-1] : [[], [2, 1, 1, 1, 1]] Qxi[C6,3,2] = (x[4])*q^25 + (x[11])*q^24 + (x[7]+x[13]+x[19])*q^23 + (x[11]+x[14]+x[15]+x[30])*q^22 + (x[7]+x[10]+x[12]+x[13]+x[16]+x[19]+x[23]+x[29]+x[34])*q^21 + (x[11]+2*x[14]+x[15]+2*x[30]+x[32]+x[33]+x[36])*q^20 + (x[7]+2*x[13]+x[16]+x[19]+2*x[23]+x[29]+x[31]+2*x[34]+x[35]+x[38]+x[42])*q^19 + (x[11]+2*x[14]+x[15]+3*x[30]+x[32]+2*x[33]+2*x[36]+x[39]+x[49])*q^18 + (x[10]+x[13]+2*x[16]+x[19]+2*x[23]+x[28]+2*x[29]+x[31]+3*x[34]+x[35]+x[37]+2*x[38]+x[42]+x[46]+x[52])*q^17 + (2*x[14]+x[15]+3*x[30]+x[32]+2*x[33]+3*x[36]+2*x[39]+x[48]+2*x[49])*q^16 + (x[13]+x[16]+2*x[23]+x[28]+x[29]+x[31]+3*x[34]+2*x[35]+3*x[38]+2*x[42]+x[46]+x[50]+x[52]+x[54])*q^15 + (x[14]+2*x[30]+x[32]+2*x[33]+3*x[36]+2*x[39]+x[48]+3*x[49]+x[53])*q^14 + (x[16]+x[23]+x[29]+2*x[34]+x[35]+x[37]+3*x[38]+x[42]+2*x[46]+x[50]+2*x[52]+x[54]+x[57])*q^13 + (x[30]+x[33]+2*x[36]+2*x[39]+x[48]+3*x[49]+x[53]+x[61])*q^12 + (x[28]+x[34]+x[35]+2*x[38]+x[42]+x[46]+x[50]+x[52]+2*x[54]+x[57])*q^11 + (x[36]+x[39]+x[48]+2*x[49]+x[53]+x[61])*q^10 + (x[38]+x[46]+x[52]+x[54]+x[57]+x[60])*q^9 + (x[49]+x[53]+x[61])*q^8 + (x[54]+x[57])*q^7 + (x[61])*q^6 + (x[64])*q^5 # Green Polys by conj class in A(O) #3.1 : c = () |O_x_c^F| = 1/2*q*(q^4+q^3+q^2+q+1)*(q^5+1)*(q^12-1) Qxc[C6,3,1] = (x[3]+x[4])*q^25 + (x[6]+x[11]+x[18])*q^24 + (x[7]+x[9]+x[11]+x[13]+x[19]+x[22])*q^23 + (x[6]+x[8]+x[11]+x[13]+x[14]+x[15]+x[18]+x[24]+x[29]+x[30])*q^22 + (x[5]+x[7]+x[9]+x[10]+x[11]+x[12]+x[13]+x[14]+x[15]+x[16]+x[19]+x[20]+2*x[22]+x[23]+x[29]+x[33]+x[34]+x[41])*q^21 + (x[6]+x[8]+x[11]+x[12]+2*x[13]+2*x[14]+x[15]+x[16]+x[17]+x[18]+2*x[24]+x[27]+2*x[29]+2*x[30]+x[31]+x[32]+x[33]+x[35]+x[36]+x[45])*q^20 + (x[7]+2*x[9]+x[11]+2*x[13]+x[14]+2*x[15]+x[16]+x[19]+2*x[20]+3*x[22]+2*x[23]+x[26]+x[29]+x[30]+x[31]+3*x[33]+2*x[34]+x[35]+x[38]+x[41]+x[42]+x[43]+x[48])*q^19 + (x[6]+x[8]+x[11]+x[12]+3*x[13]+2*x[14]+x[15]+x[16]+x[18]+x[21]+4*x[24]+2*x[27]+3*x[29]+3*x[30]+2*x[31]+x[32]+2*x[33]+x[34]+x[35]+2*x[36]+x[37]+x[38]+x[39]+x[40]+2*x[45]+x[49]+x[50])*q^18 + (x[9]+x[10]+x[11]+x[13]+x[14]+3*x[15]+2*x[16]+x[19]+2*x[20]+4*x[22]+2*x[23]+3*x[26]+x[28]+2*x[29]+x[30]+x[31]+x[32]+5*x[33]+3*x[34]+x[35]+x[36]+x[37]+2*x[38]+x[39]+2*x[41]+x[42]+2*x[43]+x[46]+x[47]+2*x[48]+x[52])*q^17 + (x[8]+x[12]+3*x[13]+2*x[14]+x[15]+2*x[16]+x[18]+x[21]+4*x[24]+x[25]+3*x[27]+3*x[29]+3*x[30]+4*x[31]+x[32]+2*x[33]+2*x[34]+2*x[35]+3*x[36]+2*x[37]+2*x[38]+2*x[39]+x[40]+x[44]+4*x[45]+x[48]+2*x[49]+2*x[50]+x[56])*q^16 + (x[9]+x[13]+x[14]+3*x[15]+x[16]+2*x[20]+3*x[22]+2*x[23]+3*x[26]+x[28]+x[29]+2*x[30]+x[31]+x[32]+7*x[33]+3*x[34]+2*x[35]+x[36]+3*x[38]+2*x[39]+2*x[41]+2*x[42]+4*x[43]+x[46]+2*x[47]+3*x[48]+x[50]+x[52]+x[53]+x[54]+x[58])*q^15 + (x[12]+2*x[13]+x[14]+2*x[16]+x[21]+4*x[24]+3*x[27]+3*x[29]+2*x[30]+4*x[31]+x[32]+2*x[33]+3*x[34]+2*x[35]+3*x[36]+3*x[37]+3*x[38]+2*x[39]+x[40]+2*x[44]+5*x[45]+x[48]+3*x[49]+4*x[50]+x[53]+x[55]+x[56]+x[60])*q^14 + (x[14]+2*x[15]+x[16]+x[20]+2*x[22]+x[23]+3*x[26]+x[29]+x[30]+2*x[32]+7*x[33]+2*x[34]+x[35]+x[36]+x[37]+3*x[38]+3*x[39]+2*x[41]+x[42]+4*x[43]+2*x[46]+4*x[47]+4*x[48]+x[49]+x[50]+2*x[52]+x[53]+x[54]+x[57]+2*x[58])*q^13 + (x[13]+x[16]+2*x[24]+x[25]+3*x[27]+2*x[29]+x[30]+4*x[31]+x[33]+3*x[34]+2*x[35]+2*x[36]+3*x[37]+3*x[38]+2*x[39]+x[40]+2*x[44]+5*x[45]+x[48]+3*x[49]+5*x[50]+x[51]+x[52]+x[53]+x[54]+x[55]+2*x[56]+x[59]+x[60]+x[61])*q^12 + (x[15]+x[22]+2*x[26]+x[28]+x[30]+x[32]+5*x[33]+x[34]+x[35]+x[36]+2*x[38]+4*x[39]+x[41]+x[42]+4*x[43]+x[46]+4*x[47]+4*x[48]+x[49]+x[50]+x[52]+2*x[53]+2*x[54]+x[57]+3*x[58])*q^11 + (x[16]+x[24]+x[27]+x[29]+2*x[31]+2*x[34]+x[35]+x[36]+3*x[37]+3*x[38]+x[39]+2*x[44]+4*x[45]+x[48]+2*x[49]+5*x[50]+x[51]+x[52]+x[53]+x[54]+2*x[55]+2*x[56]+x[59]+2*x[60]+x[61])*q^10 + (x[26]+x[32]+3*x[33]+x[36]+x[38]+3*x[39]+x[41]+2*x[43]+x[46]+3*x[47]+3*x[48]+x[49]+x[52]+2*x[53]+x[54]+x[57]+4*x[58]+x[60]+x[63])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+2*x[38]+x[44]+2*x[45]+x[49]+4*x[50]+x[52]+x[53]+x[54]+x[55]+2*x[56]+2*x[59]+2*x[60]+x[61]+x[62])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+x[49]+2*x[53]+x[54]+x[57]+3*x[58]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[56]+x[59]+2*x[60]+x[61]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61]+x[63]+x[64])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #3.2 : c = (1) |O_x_c^F| = 1/2*q*(q^4-q^3+q^2-q+1)*(q^5-1)*(q^12-1) Qxc[C6,3,2] = (x[3]-x[4])*q^25 + (x[6]-x[11]+x[18])*q^24 + (-x[7]+x[9]+x[11]-x[13]-x[19]+x[22])*q^23 + (x[6]+x[8]-x[11]+x[13]-x[14]-x[15]+x[18]+x[24]+x[29]-x[30])*q^22 + (x[5]-x[7]+x[9]-x[10]+x[11]-x[12]-x[13]+x[14]+x[15]-x[16]-x[19]+x[20]+2*x[22]-x[23]-x[29]+x[33]-x[34]+x[41])*q^21 + (x[6]+x[8]-x[11]+x[12]+2*x[13]-2*x[14]-x[15]+x[16]+x[17]+x[18]+2*x[24]+x[27]+2*x[29]-2*x[30]+x[31]-x[32]-x[33]+x[35]-x[36]+x[45])*q^20 + (-x[7]+2*x[9]+x[11]-2*x[13]+x[14]+2*x[15]-x[16]-x[19]+2*x[20]+3*x[22]-2*x[23]+x[26]-x[29]+x[30]-x[31]+3*x[33]-2*x[34]-x[35]-x[38]+x[41]-x[42]+x[43]+x[48])*q^19 + (x[6]+x[8]-x[11]+x[12]+3*x[13]-2*x[14]-x[15]+x[16]+x[18]+x[21]+4*x[24]+2*x[27]+3*x[29]-3*x[30]+2*x[31]-x[32]-2*x[33]+x[34]+x[35]-2*x[36]+x[37]+x[38]-x[39]+x[40]+2*x[45]-x[49]+x[50])*q^18 + (x[9]-x[10]+x[11]-x[13]+x[14]+3*x[15]-2*x[16]-x[19]+2*x[20]+4*x[22]-2*x[23]+3*x[26]-x[28]-2*x[29]+x[30]-x[31]+x[32]+5*x[33]-3*x[34]-x[35]+x[36]-x[37]-2*x[38]+x[39]+2*x[41]-x[42]+2*x[43]-x[46]+x[47]+2*x[48]-x[52])*q^17 + (x[8]+x[12]+3*x[13]-2*x[14]-x[15]+2*x[16]+x[18]+x[21]+4*x[24]+x[25]+3*x[27]+3*x[29]-3*x[30]+4*x[31]-x[32]-2*x[33]+2*x[34]+2*x[35]-3*x[36]+2*x[37]+2*x[38]-2*x[39]+x[40]+x[44]+4*x[45]-x[48]-2*x[49]+2*x[50]+x[56])*q^16 + (x[9]-x[13]+x[14]+3*x[15]-x[16]+2*x[20]+3*x[22]-2*x[23]+3*x[26]-x[28]-x[29]+2*x[30]-x[31]+x[32]+7*x[33]-3*x[34]-2*x[35]+x[36]-3*x[38]+2*x[39]+2*x[41]-2*x[42]+4*x[43]-x[46]+2*x[47]+3*x[48]-x[50]-x[52]+x[53]-x[54]+x[58])*q^15 + (x[12]+2*x[13]-x[14]+2*x[16]+x[21]+4*x[24]+3*x[27]+3*x[29]-2*x[30]+4*x[31]-x[32]-2*x[33]+3*x[34]+2*x[35]-3*x[36]+3*x[37]+3*x[38]-2*x[39]+x[40]+2*x[44]+5*x[45]-x[48]-3*x[49]+4*x[50]-x[53]+x[55]+x[56]+x[60])*q^14 + (x[14]+2*x[15]-x[16]+x[20]+2*x[22]-x[23]+3*x[26]-x[29]+x[30]+2*x[32]+7*x[33]-2*x[34]-x[35]+x[36]-x[37]-3*x[38]+3*x[39]+2*x[41]-x[42]+4*x[43]-2*x[46]+4*x[47]+4*x[48]+x[49]-x[50]-2*x[52]+x[53]-x[54]-x[57]+2*x[58])*q^13 + (x[13]+x[16]+2*x[24]+x[25]+3*x[27]+2*x[29]-x[30]+4*x[31]-x[33]+3*x[34]+2*x[35]-2*x[36]+3*x[37]+3*x[38]-2*x[39]+x[40]+2*x[44]+5*x[45]-x[48]-3*x[49]+5*x[50]+x[51]+x[52]-x[53]+x[54]+x[55]+2*x[56]+x[59]+x[60]-x[61])*q^12 + (x[15]+x[22]+2*x[26]-x[28]+x[30]+x[32]+5*x[33]-x[34]-x[35]+x[36]-2*x[38]+4*x[39]+x[41]-x[42]+4*x[43]-x[46]+4*x[47]+4*x[48]+x[49]-x[50]-x[52]+2*x[53]-2*x[54]-x[57]+3*x[58])*q^11 + (x[16]+x[24]+x[27]+x[29]+2*x[31]+2*x[34]+x[35]-x[36]+3*x[37]+3*x[38]-x[39]+2*x[44]+4*x[45]-x[48]-2*x[49]+5*x[50]+x[51]+x[52]-x[53]+x[54]+2*x[55]+2*x[56]+x[59]+2*x[60]-x[61])*q^10 + (x[26]+x[32]+3*x[33]+x[36]-x[38]+3*x[39]+x[41]+2*x[43]-x[46]+3*x[47]+3*x[48]+x[49]-x[52]+2*x[53]-x[54]-x[57]+4*x[58]-x[60]+x[63])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+2*x[38]+x[44]+2*x[45]-x[49]+4*x[50]+x[52]-x[53]+x[54]+x[55]+2*x[56]+2*x[59]+2*x[60]-x[61]+x[62])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+x[49]+2*x[53]-x[54]-x[57]+3*x[58]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[56]+x[59]+2*x[60]-x[61]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61]+x[63]-x[64])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #4 : [2, 2, 2, 1, 1, 1, 1, 1, 1] dim = 30 A(O) = 1 , |A(O)_0| = 1 g_s = 6*V[2]+18*V[1]+24*V[0] Z_G(x)_0 = O3+Sp6 # Green Polys by orbit reps #4.1 : x[5] : [2, 2, 2, 1, 1, 1, 1, 1, 1],[] : [[1, 1, 1, 1, 1], [1]] Qxi[C6,4,1] = (x[5])*q^21 + (x[8]+x[12]+x[17])*q^20 + (x[9]+x[15]+2*x[20])*q^19 + (x[6]+x[8]+x[12]+x[13]+x[21]+2*x[24]+x[31]+x[40])*q^18 + (x[9]+x[11]+2*x[15]+2*x[20]+2*x[22]+2*x[26]+x[32]+x[33]+x[43])*q^17 + (x[8]+x[12]+2*x[13]+x[16]+x[18]+x[21]+3*x[24]+x[25]+2*x[27]+x[29]+3*x[31]+x[34]+x[37]+x[40]+x[44]+x[45])*q^16 + (x[9]+x[14]+3*x[15]+2*x[20]+2*x[22]+3*x[26]+x[30]+x[32]+4*x[33]+x[39]+x[41]+3*x[43]+x[47])*q^15 + (x[12]+2*x[13]+2*x[16]+x[21]+4*x[24]+2*x[27]+2*x[29]+4*x[31]+2*x[34]+x[35]+2*x[37]+x[38]+x[40]+2*x[44]+3*x[45]+2*x[50]+x[55])*q^14 + (x[14]+2*x[15]+x[20]+2*x[22]+3*x[26]+x[30]+2*x[32]+6*x[33]+x[36]+2*x[39]+x[41]+4*x[43]+3*x[47]+2*x[48]+x[58])*q^13 + (x[13]+x[16]+2*x[24]+x[25]+3*x[27]+2*x[29]+4*x[31]+3*x[34]+2*x[35]+3*x[37]+2*x[38]+x[40]+2*x[44]+4*x[45]+4*x[50]+x[51]+x[52]+x[55]+x[56]+x[59])*q^12 + (x[15]+x[22]+2*x[26]+x[30]+x[32]+5*x[33]+x[36]+4*x[39]+x[41]+4*x[43]+4*x[47]+3*x[48]+x[49]+x[53]+2*x[58])*q^11 + (x[16]+x[24]+x[27]+x[29]+2*x[31]+2*x[34]+x[35]+3*x[37]+3*x[38]+2*x[44]+4*x[45]+5*x[50]+x[51]+x[52]+x[54]+2*x[55]+x[56]+x[59]+x[60])*q^10 + (x[26]+x[32]+3*x[33]+x[36]+3*x[39]+x[41]+2*x[43]+3*x[47]+3*x[48]+x[49]+2*x[53]+4*x[58])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+2*x[38]+x[44]+2*x[45]+4*x[50]+x[52]+x[54]+x[55]+2*x[56]+2*x[59]+2*x[60]+x[62])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+x[49]+2*x[53]+3*x[58]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[56]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] # Green Polys by conj class in A(O) #4.1 : c = () |O_x_c^F| = q^2*(q^2+1)*(q^4+1)*(q^10-1)*(q^12-1) Qxc[C6,4,1] = (x[5])*q^21 + (x[8]+x[12]+x[17])*q^20 + (x[9]+x[15]+2*x[20])*q^19 + (x[6]+x[8]+x[12]+x[13]+x[21]+2*x[24]+x[31]+x[40])*q^18 + (x[9]+x[11]+2*x[15]+2*x[20]+2*x[22]+2*x[26]+x[32]+x[33]+x[43])*q^17 + (x[8]+x[12]+2*x[13]+x[16]+x[18]+x[21]+3*x[24]+x[25]+2*x[27]+x[29]+3*x[31]+x[34]+x[37]+x[40]+x[44]+x[45])*q^16 + (x[9]+x[14]+3*x[15]+2*x[20]+2*x[22]+3*x[26]+x[30]+x[32]+4*x[33]+x[39]+x[41]+3*x[43]+x[47])*q^15 + (x[12]+2*x[13]+2*x[16]+x[21]+4*x[24]+2*x[27]+2*x[29]+4*x[31]+2*x[34]+x[35]+2*x[37]+x[38]+x[40]+2*x[44]+3*x[45]+2*x[50]+x[55])*q^14 + (x[14]+2*x[15]+x[20]+2*x[22]+3*x[26]+x[30]+2*x[32]+6*x[33]+x[36]+2*x[39]+x[41]+4*x[43]+3*x[47]+2*x[48]+x[58])*q^13 + (x[13]+x[16]+2*x[24]+x[25]+3*x[27]+2*x[29]+4*x[31]+3*x[34]+2*x[35]+3*x[37]+2*x[38]+x[40]+2*x[44]+4*x[45]+4*x[50]+x[51]+x[52]+x[55]+x[56]+x[59])*q^12 + (x[15]+x[22]+2*x[26]+x[30]+x[32]+5*x[33]+x[36]+4*x[39]+x[41]+4*x[43]+4*x[47]+3*x[48]+x[49]+x[53]+2*x[58])*q^11 + (x[16]+x[24]+x[27]+x[29]+2*x[31]+2*x[34]+x[35]+3*x[37]+3*x[38]+2*x[44]+4*x[45]+5*x[50]+x[51]+x[52]+x[54]+2*x[55]+x[56]+x[59]+x[60])*q^10 + (x[26]+x[32]+3*x[33]+x[36]+3*x[39]+x[41]+2*x[43]+3*x[47]+3*x[48]+x[49]+2*x[53]+4*x[58])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+2*x[38]+x[44]+2*x[45]+4*x[50]+x[52]+x[54]+x[55]+2*x[56]+2*x[59]+2*x[60]+x[62])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+x[49]+2*x[53]+3*x[58]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[56]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #5 : [2, 2, 2, 2, 1, 1, 1, 1] dim = 36 A(O) = Z2 , |A(O)_0| = 2 g_s = 10*V[2]+16*V[1]+16*V[0] Z_G(x)_0 = Sp4+O4 # Green Polys by orbit reps #5.1 : x[6] : [2, 2, 2, 2, 1, 1, 1, 1],[1] : [[1, 1], [1, 1, 1, 1]] Qxi[C6,5,1] = (x[6])*q^18 + (x[9]+x[11]+x[22])*q^17 + (x[8]+2*x[13]+x[18]+x[24]+x[27]+x[29])*q^16 + (x[9]+x[14]+2*x[15]+x[20]+2*x[22]+x[26]+x[30]+2*x[33]+x[41])*q^15 + (x[12]+2*x[13]+2*x[16]+x[21]+3*x[24]+x[27]+2*x[29]+2*x[31]+x[34]+x[35]+x[37]+x[38]+2*x[45])*q^14 + (x[14]+2*x[15]+x[20]+2*x[22]+2*x[26]+x[30]+x[32]+5*x[33]+x[36]+x[39]+x[41]+2*x[43]+x[47]+2*x[48])*q^13 + (x[13]+x[16]+2*x[24]+x[25]+3*x[27]+2*x[29]+3*x[31]+3*x[34]+2*x[35]+2*x[37]+2*x[38]+x[40]+x[44]+3*x[45]+3*x[50]+x[56])*q^12 + (x[15]+x[22]+2*x[26]+x[30]+x[32]+5*x[33]+x[36]+3*x[39]+x[41]+3*x[43]+3*x[47]+3*x[48]+x[49]+x[53]+x[58])*q^11 + (x[16]+x[24]+x[27]+x[29]+2*x[31]+2*x[34]+x[35]+3*x[37]+3*x[38]+2*x[44]+4*x[45]+4*x[50]+x[51]+x[52]+x[54]+x[55]+x[56]+x[60])*q^10 + (x[26]+x[32]+3*x[33]+x[36]+3*x[39]+x[41]+2*x[43]+3*x[47]+3*x[48]+x[49]+2*x[53]+3*x[58])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+2*x[38]+x[44]+2*x[45]+4*x[50]+x[52]+x[54]+x[55]+2*x[56]+2*x[59]+2*x[60])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+x[49]+2*x[53]+3*x[58]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[56]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #5.2 : x[7] : [2, 2, 2, 2, 1, 1, 1, 1],[-1] : [[], [2, 2, 1, 1]] Qxi[C6,5,2] = (x[7])*q^18 + (x[11]+x[14])*q^17 + (x[10]+x[13]+x[16]+x[19]+x[23]+x[29])*q^16 + (2*x[14]+x[15]+2*x[30]+x[33]+x[36])*q^15 + (x[13]+x[16]+2*x[23]+x[28]+x[29]+x[31]+2*x[34]+2*x[35]+x[38]+x[42])*q^14 + (x[14]+2*x[30]+x[32]+2*x[33]+3*x[36]+x[39]+x[48]+x[49])*q^13 + (x[16]+x[23]+x[29]+2*x[34]+x[35]+x[37]+3*x[38]+x[42]+2*x[46]+x[50]+x[52])*q^12 + (x[30]+x[33]+2*x[36]+2*x[39]+x[48]+3*x[49]+x[53])*q^11 + (x[28]+x[34]+x[35]+2*x[38]+x[42]+x[46]+x[50]+x[52]+2*x[54]+x[57])*q^10 + (x[36]+x[39]+x[48]+2*x[49]+x[53]+x[61])*q^9 + (x[38]+x[46]+x[52]+x[54]+x[57]+x[60])*q^8 + (x[49]+x[53]+x[61])*q^7 + (x[54]+x[57])*q^6 + (x[61])*q^5 + (x[64])*q^4 # Green Polys by conj class in A(O) #5.1 : c = () |O_x_c^F| = 1/2*q^4*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^4+1)*(q^10-1)*(q^12-1) Qxc[C6,5,1] = (x[6]+x[7])*q^18 + (x[9]+2*x[11]+x[14]+x[22])*q^17 + (x[8]+x[10]+3*x[13]+x[16]+x[18]+x[19]+x[23]+x[24]+x[27]+2*x[29])*q^16 + (x[9]+3*x[14]+3*x[15]+x[20]+2*x[22]+x[26]+3*x[30]+3*x[33]+x[36]+x[41])*q^15 + (x[12]+3*x[13]+3*x[16]+x[21]+2*x[23]+3*x[24]+x[27]+x[28]+3*x[29]+3*x[31]+3*x[34]+3*x[35]+x[37]+2*x[38]+x[42]+2*x[45])*q^14 + (2*x[14]+2*x[15]+x[20]+2*x[22]+2*x[26]+3*x[30]+2*x[32]+7*x[33]+4*x[36]+2*x[39]+x[41]+2*x[43]+x[47]+3*x[48]+x[49])*q^13 + (x[13]+2*x[16]+x[23]+2*x[24]+x[25]+3*x[27]+3*x[29]+3*x[31]+5*x[34]+3*x[35]+3*x[37]+5*x[38]+x[40]+x[42]+x[44]+3*x[45]+2*x[46]+4*x[50]+x[52]+x[56])*q^12 + (x[15]+x[22]+2*x[26]+2*x[30]+x[32]+6*x[33]+3*x[36]+5*x[39]+x[41]+3*x[43]+3*x[47]+4*x[48]+4*x[49]+2*x[53]+x[58])*q^11 + (x[16]+x[24]+x[27]+x[28]+x[29]+2*x[31]+3*x[34]+2*x[35]+3*x[37]+5*x[38]+x[42]+2*x[44]+4*x[45]+x[46]+5*x[50]+x[51]+2*x[52]+3*x[54]+x[55]+x[56]+x[57]+x[60])*q^10 + (x[26]+x[32]+3*x[33]+2*x[36]+4*x[39]+x[41]+2*x[43]+3*x[47]+4*x[48]+3*x[49]+3*x[53]+3*x[58]+x[61])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+3*x[38]+x[44]+2*x[45]+x[46]+4*x[50]+2*x[52]+2*x[54]+x[55]+2*x[56]+x[57]+2*x[59]+3*x[60])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+2*x[49]+3*x[53]+3*x[58]+x[61]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+2*x[54]+x[55]+x[56]+x[57]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+2*x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62]+x[64])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #5.2 : c = (1) |O_x_c^F| = 1/2*q^4*(q^4+1)*(q^6-1)*(q^10-1)*(q^12-1) Qxc[C6,5,2] = (x[6]-x[7])*q^18 + (x[9]-x[14]+x[22])*q^17 + (x[8]-x[10]+x[13]-x[16]+x[18]-x[19]-x[23]+x[24]+x[27])*q^16 + (x[9]-x[14]+x[15]+x[20]+2*x[22]+x[26]-x[30]+x[33]-x[36]+x[41])*q^15 + (x[12]+x[13]+x[16]+x[21]-2*x[23]+3*x[24]+x[27]-x[28]+x[29]+x[31]-x[34]-x[35]+x[37]-x[42]+2*x[45])*q^14 + (2*x[15]+x[20]+2*x[22]+2*x[26]-x[30]+3*x[33]-2*x[36]+x[41]+2*x[43]+x[47]+x[48]-x[49])*q^13 + (x[13]-x[23]+2*x[24]+x[25]+3*x[27]+x[29]+3*x[31]+x[34]+x[35]+x[37]-x[38]+x[40]-x[42]+x[44]+3*x[45]-2*x[46]+2*x[50]-x[52]+x[56])*q^12 + (x[15]+x[22]+2*x[26]+x[32]+4*x[33]-x[36]+x[39]+x[41]+3*x[43]+3*x[47]+2*x[48]-2*x[49]+x[58])*q^11 + (x[16]+x[24]+x[27]-x[28]+x[29]+2*x[31]+x[34]+3*x[37]+x[38]-x[42]+2*x[44]+4*x[45]-x[46]+3*x[50]+x[51]-x[54]+x[55]+x[56]-x[57]+x[60])*q^10 + (x[26]+x[32]+3*x[33]+2*x[39]+x[41]+2*x[43]+3*x[47]+2*x[48]-x[49]+x[53]+3*x[58]-x[61])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+x[38]+x[44]+2*x[45]-x[46]+4*x[50]+x[55]+2*x[56]-x[57]+2*x[59]+x[60])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+x[53]+3*x[58]-x[61]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[55]+x[56]-x[57]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62]-x[64])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #6 : [2, 2, 2, 2, 2, 1, 1] dim = 40 A(O) = 1 , |A(O)_0| = 1 g_s = 15*V[2]+10*V[1]+13*V[0] Z_G(x)_0 = O5+Sp2 # Green Polys by orbit reps #6.1 : x[8] : [2, 2, 2, 2, 2, 1, 1],[] : [[1, 1, 1, 1], [1, 1]] Qxi[C6,6,1] = (x[8])*q^16 + (x[9]+x[15]+x[20])*q^15 + (x[12]+x[13]+x[16]+x[21]+2*x[24]+x[31])*q^14 + (x[14]+2*x[15]+x[20]+x[22]+2*x[26]+x[32]+2*x[33]+x[43])*q^13 + (x[13]+x[16]+2*x[24]+x[25]+2*x[27]+x[29]+3*x[31]+2*x[34]+x[35]+x[37]+x[40]+x[44]+x[45]+x[50])*q^12 + (x[15]+x[22]+2*x[26]+x[30]+x[32]+4*x[33]+x[36]+2*x[39]+3*x[43]+2*x[47]+x[48])*q^11 + (x[16]+x[24]+x[27]+x[29]+2*x[31]+2*x[34]+x[35]+3*x[37]+2*x[38]+2*x[44]+3*x[45]+3*x[50]+x[51]+x[52]+x[55])*q^10 + (x[26]+x[32]+3*x[33]+x[36]+3*x[39]+x[41]+2*x[43]+3*x[47]+2*x[48]+x[49]+x[53]+2*x[58])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+2*x[38]+x[44]+2*x[45]+4*x[50]+x[52]+x[54]+x[55]+x[56]+2*x[59]+x[60])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+x[49]+2*x[53]+3*x[58])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[56]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] # Green Polys by conj class in A(O) #6.1 : c = () |O_x_c^F| = q^6*(q^2+q+1)*(q^2-q+1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,6,1] = (x[8])*q^16 + (x[9]+x[15]+x[20])*q^15 + (x[12]+x[13]+x[16]+x[21]+2*x[24]+x[31])*q^14 + (x[14]+2*x[15]+x[20]+x[22]+2*x[26]+x[32]+2*x[33]+x[43])*q^13 + (x[13]+x[16]+2*x[24]+x[25]+2*x[27]+x[29]+3*x[31]+2*x[34]+x[35]+x[37]+x[40]+x[44]+x[45]+x[50])*q^12 + (x[15]+x[22]+2*x[26]+x[30]+x[32]+4*x[33]+x[36]+2*x[39]+3*x[43]+2*x[47]+x[48])*q^11 + (x[16]+x[24]+x[27]+x[29]+2*x[31]+2*x[34]+x[35]+3*x[37]+2*x[38]+2*x[44]+3*x[45]+3*x[50]+x[51]+x[52]+x[55])*q^10 + (x[26]+x[32]+3*x[33]+x[36]+3*x[39]+x[41]+2*x[43]+3*x[47]+2*x[48]+x[49]+x[53]+2*x[58])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+2*x[38]+x[44]+2*x[45]+4*x[50]+x[52]+x[54]+x[55]+x[56]+2*x[59]+x[60])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+x[49]+2*x[53]+3*x[58])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[56]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #7 : [2, 2, 2, 2, 2, 2] dim = 42 A(O) = Z2 , |A(O)_0| = 2 g_s = 21*V[2]+15*V[0] Z_G(x)_0 = O6 # Green Polys by orbit reps #7.1 : x[9] : [2, 2, 2, 2, 2, 2],[1] : [[1, 1, 1], [1, 1, 1]] Qxi[C6,7,1] = (x[9])*q^15 + (x[13]+x[24])*q^14 + (x[14]+x[15]+x[22]+x[26]+x[33])*q^13 + (x[13]+x[16]+x[24]+x[25]+x[27]+x[29]+x[31]+x[34]+x[35]+x[37]+x[45])*q^12 + (x[15]+x[22]+x[26]+x[30]+3*x[33]+x[36]+x[39]+x[43]+x[47]+x[48])*q^11 + (x[16]+x[24]+x[27]+x[29]+x[31]+2*x[34]+x[35]+2*x[37]+2*x[38]+x[44]+2*x[45]+2*x[50])*q^10 + (x[26]+x[32]+3*x[33]+x[36]+2*x[39]+x[41]+x[43]+2*x[47]+2*x[48]+x[49]+x[53]+x[58])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+2*x[38]+x[44]+2*x[45]+3*x[50]+x[52]+x[54]+x[56]+x[59]+x[60])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+x[49]+2*x[53]+2*x[58])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[56]+x[59]+2*x[60])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #7.2 : x[10] : [2, 2, 2, 2, 2, 2],[-1] : [[], [2, 2, 2]] Qxi[C6,7,2] = (x[10])*q^15 + (x[14])*q^14 + (x[13]+x[23]+x[35])*q^13 + (x[14]+x[30]+x[33]+x[36])*q^12 + (x[16]+x[23]+x[29]+x[34]+x[35]+x[37]+x[38]+x[46])*q^11 + (x[30]+x[33]+2*x[36]+x[39]+x[48]+x[49])*q^10 + (x[28]+x[34]+x[35]+2*x[38]+x[42]+x[46]+x[50]+x[54])*q^9 + (x[36]+x[39]+x[48]+2*x[49]+x[53])*q^8 + (x[38]+x[46]+x[52]+x[54]+x[57]+x[60])*q^7 + (x[49]+x[53]+x[61])*q^6 + (x[54]+x[57])*q^5 + (x[61])*q^4 + (x[64])*q^3 # Green Polys by conj class in A(O) #7.1 : c = () |O_x_c^F| = 1/2*q^9*(q^3+1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,7,1] = (x[9]+x[10])*q^15 + (x[13]+x[14]+x[24])*q^14 + (x[13]+x[14]+x[15]+x[22]+x[23]+x[26]+x[33]+x[35])*q^13 + (x[13]+x[14]+x[16]+x[24]+x[25]+x[27]+x[29]+x[30]+x[31]+x[33]+x[34]+x[35]+x[36]+x[37]+x[45])*q^12 + (x[15]+x[16]+x[22]+x[23]+x[26]+x[29]+x[30]+3*x[33]+x[34]+x[35]+x[36]+x[37]+x[38]+x[39]+x[43]+x[46]+x[47]+x[48])*q^11 + (x[16]+x[24]+x[27]+x[29]+x[30]+x[31]+x[33]+2*x[34]+x[35]+2*x[36]+2*x[37]+2*x[38]+x[39]+x[44]+2*x[45]+x[48]+x[49]+2*x[50])*q^10 + (x[26]+x[28]+x[32]+3*x[33]+x[34]+x[35]+x[36]+2*x[38]+2*x[39]+x[41]+x[42]+x[43]+x[46]+2*x[47]+2*x[48]+x[49]+x[50]+x[53]+x[54]+x[58])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[36]+x[37]+2*x[38]+x[39]+x[44]+2*x[45]+x[48]+2*x[49]+3*x[50]+x[52]+x[53]+x[54]+x[56]+x[59]+x[60])*q^8 + (x[33]+x[38]+2*x[39]+x[43]+x[46]+2*x[47]+2*x[48]+x[49]+x[52]+2*x[53]+x[54]+x[57]+2*x[58]+x[60])*q^7 + (x[37]+x[38]+x[45]+x[49]+2*x[50]+x[51]+x[52]+x[53]+x[54]+x[55]+x[56]+x[59]+2*x[60]+x[61])*q^6 + (x[39]+x[47]+x[48]+x[53]+x[54]+x[57]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[61]+x[62])*q^4 + (x[53]+x[58]+x[63]+x[64])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #7.2 : c = (1) |O_x_c^F| = 1/2*q^9*(q^3-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,7,2] = (x[9]-x[10])*q^15 + (x[13]-x[14]+x[24])*q^14 + (-x[13]+x[14]+x[15]+x[22]-x[23]+x[26]+x[33]-x[35])*q^13 + (x[13]-x[14]+x[16]+x[24]+x[25]+x[27]+x[29]-x[30]+x[31]-x[33]+x[34]+x[35]-x[36]+x[37]+x[45])*q^12 + (x[15]-x[16]+x[22]-x[23]+x[26]-x[29]+x[30]+3*x[33]-x[34]-x[35]+x[36]-x[37]-x[38]+x[39]+x[43]-x[46]+x[47]+x[48])*q^11 + (x[16]+x[24]+x[27]+x[29]-x[30]+x[31]-x[33]+2*x[34]+x[35]-2*x[36]+2*x[37]+2*x[38]-x[39]+x[44]+2*x[45]-x[48]-x[49]+2*x[50])*q^10 + (x[26]-x[28]+x[32]+3*x[33]-x[34]-x[35]+x[36]-2*x[38]+2*x[39]+x[41]-x[42]+x[43]-x[46]+2*x[47]+2*x[48]+x[49]-x[50]+x[53]-x[54]+x[58])*q^9 + (x[27]+x[31]+x[34]+x[35]-x[36]+x[37]+2*x[38]-x[39]+x[44]+2*x[45]-x[48]-2*x[49]+3*x[50]+x[52]-x[53]+x[54]+x[56]+x[59]+x[60])*q^8 + (x[33]-x[38]+2*x[39]+x[43]-x[46]+2*x[47]+2*x[48]+x[49]-x[52]+2*x[53]-x[54]-x[57]+2*x[58]-x[60])*q^7 + (x[37]+x[38]+x[45]-x[49]+2*x[50]+x[51]+x[52]-x[53]+x[54]+x[55]+x[56]+x[59]+2*x[60]-x[61])*q^6 + (x[39]+x[47]+x[48]+x[53]-x[54]-x[57]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]-x[61]+x[62])*q^4 + (x[53]+x[58]+x[63]-x[64])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #8 : [3, 3, 1, 1, 1, 1, 1, 1] dim = 38 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[4]+13*V[2]+24*V[0] Z_G(x)_0 = Sp6+Sp2 # Green Polys by orbit reps #8.1 : x[11] : [3, 3, 1, 1, 1, 1, 1, 1],[] : [[1], [2, 1, 1, 1]] Qxi[C6,8,1] = (x[11])*q^17 + (x[13]+x[18]+x[19]+x[29])*q^16 + (x[14]+x[15]+x[22]+2*x[30]+x[33]+x[41])*q^15 + (x[12]+x[13]+x[16]+x[23]+x[24]+2*x[29]+x[31]+2*x[34]+x[35]+x[38]+x[42]+x[45])*q^14 + (x[14]+x[15]+x[20]+x[22]+2*x[30]+2*x[32]+3*x[33]+2*x[36]+x[39]+x[41]+x[43]+2*x[48]+x[49])*q^13 + (x[13]+x[16]+x[23]+x[24]+x[27]+2*x[29]+2*x[31]+3*x[34]+2*x[35]+x[37]+3*x[38]+x[40]+x[42]+2*x[45]+x[46]+2*x[50]+x[52]+x[56])*q^12 + (x[15]+x[22]+x[26]+2*x[30]+x[32]+4*x[33]+2*x[36]+3*x[39]+x[41]+2*x[43]+x[47]+3*x[48]+3*x[49]+x[53]+x[58])*q^11 + (x[16]+x[24]+x[27]+x[28]+x[29]+2*x[31]+3*x[34]+x[35]+2*x[37]+4*x[38]+x[42]+x[44]+3*x[45]+x[46]+3*x[50]+2*x[52]+2*x[54]+x[55]+x[56]+x[57]+x[60])*q^10 + (x[26]+x[32]+3*x[33]+2*x[36]+4*x[39]+x[41]+2*x[43]+2*x[47]+3*x[48]+3*x[49]+2*x[53]+2*x[58]+x[61])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+3*x[38]+x[44]+2*x[45]+x[46]+4*x[50]+2*x[52]+2*x[54]+x[55]+2*x[56]+x[57]+x[59]+2*x[60])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+2*x[49]+3*x[53]+3*x[58]+x[61]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+2*x[54]+x[55]+x[56]+x[57]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+2*x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62]+x[64])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] # Green Polys by conj class in A(O) #8.1 : c = () |O_x_c^F| = q^10*(q^2+1)*(q^4+1)*(q^10-1)*(q^12-1) Qxc[C6,8,1] = (x[11])*q^17 + (x[13]+x[18]+x[19]+x[29])*q^16 + (x[14]+x[15]+x[22]+2*x[30]+x[33]+x[41])*q^15 + (x[12]+x[13]+x[16]+x[23]+x[24]+2*x[29]+x[31]+2*x[34]+x[35]+x[38]+x[42]+x[45])*q^14 + (x[14]+x[15]+x[20]+x[22]+2*x[30]+2*x[32]+3*x[33]+2*x[36]+x[39]+x[41]+x[43]+2*x[48]+x[49])*q^13 + (x[13]+x[16]+x[23]+x[24]+x[27]+2*x[29]+2*x[31]+3*x[34]+2*x[35]+x[37]+3*x[38]+x[40]+x[42]+2*x[45]+x[46]+2*x[50]+x[52]+x[56])*q^12 + (x[15]+x[22]+x[26]+2*x[30]+x[32]+4*x[33]+2*x[36]+3*x[39]+x[41]+2*x[43]+x[47]+3*x[48]+3*x[49]+x[53]+x[58])*q^11 + (x[16]+x[24]+x[27]+x[28]+x[29]+2*x[31]+3*x[34]+x[35]+2*x[37]+4*x[38]+x[42]+x[44]+3*x[45]+x[46]+3*x[50]+2*x[52]+2*x[54]+x[55]+x[56]+x[57]+x[60])*q^10 + (x[26]+x[32]+3*x[33]+2*x[36]+4*x[39]+x[41]+2*x[43]+2*x[47]+3*x[48]+3*x[49]+2*x[53]+2*x[58]+x[61])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+3*x[38]+x[44]+2*x[45]+x[46]+4*x[50]+2*x[52]+2*x[54]+x[55]+2*x[56]+x[57]+x[59]+2*x[60])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+2*x[49]+3*x[53]+3*x[58]+x[61]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+2*x[54]+x[55]+x[56]+x[57]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+2*x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62]+x[64])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #9 : [3, 3, 2, 1, 1, 1, 1] dim = 44 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[4]+2*V[3]+10*V[2]+6*V[1]+13*V[0] Z_G(x)_0 = O1+Sp4+Sp2 # Green Polys by orbit reps #9.1 : x[12] : [3, 3, 2, 1, 1, 1, 1],[] : [[1, 1, 1, 1], [2]] Qxi[C6,9,1] = (x[12])*q^14 + (x[15]+x[20]+x[32])*q^13 + (x[13]+x[24]+2*x[31]+x[34]+x[40])*q^12 + (x[15]+x[22]+x[26]+x[30]+x[32]+2*x[33]+x[39]+2*x[43])*q^11 + (x[16]+x[24]+x[27]+x[29]+2*x[31]+2*x[34]+2*x[37]+x[38]+x[44]+2*x[45]+x[50]+x[52]+x[55])*q^10 + (x[26]+x[32]+3*x[33]+x[36]+3*x[39]+x[41]+2*x[43]+2*x[47]+x[48]+x[49]+x[58])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+2*x[38]+x[44]+2*x[45]+4*x[50]+x[52]+x[54]+x[55]+x[56]+x[59])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+x[49]+2*x[53]+3*x[58])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[56]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] # Green Polys by conj class in A(O) #9.1 : c = () |O_x_c^F| = q^10*(q^2+q+1)*(q^2-q+1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,9,1] = (x[12])*q^14 + (x[15]+x[20]+x[32])*q^13 + (x[13]+x[24]+2*x[31]+x[34]+x[40])*q^12 + (x[15]+x[22]+x[26]+x[30]+x[32]+2*x[33]+x[39]+2*x[43])*q^11 + (x[16]+x[24]+x[27]+x[29]+2*x[31]+2*x[34]+2*x[37]+x[38]+x[44]+2*x[45]+x[50]+x[52]+x[55])*q^10 + (x[26]+x[32]+3*x[33]+x[36]+3*x[39]+x[41]+2*x[43]+2*x[47]+x[48]+x[49]+x[58])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+2*x[38]+x[44]+2*x[45]+4*x[50]+x[52]+x[54]+x[55]+x[56]+x[59])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+x[49]+2*x[53]+3*x[58])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[56]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #10 : [3, 3, 2, 2, 1, 1] dim = 48 A(O) = Z2 , |A(O)_0| = 2 g_s = 3*V[4]+4*V[3]+8*V[2]+8*V[1]+7*V[0] Z_G(x)_0 = 2*Sp2+O2 # Green Polys by orbit reps #10.1 : x[13] : [3, 3, 2, 2, 1, 1],[1] : [[1, 1], [2, 1, 1]] Qxi[C6,10,1] = (x[13])*q^12 + (x[15]+x[22]+x[30]+x[33])*q^11 + (x[16]+x[24]+x[27]+x[29]+x[31]+2*x[34]+x[37]+x[38]+x[45])*q^10 + (x[26]+x[32]+3*x[33]+x[36]+2*x[39]+x[41]+x[43]+x[47]+x[48]+x[49])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+2*x[38]+x[44]+2*x[45]+3*x[50]+x[52]+x[54]+x[56])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+2*x[48]+x[49]+2*x[53]+2*x[58])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[56]+x[59]+2*x[60])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #10.2 : x[14] : [3, 3, 2, 2, 1, 1],[-1] : [[1], [2, 2, 1]] Qxi[C6,10,2] = (x[14])*q^12 + (x[16]+x[23]+x[29]+x[35])*q^11 + (x[30]+x[33]+2*x[36]+x[48])*q^10 + (x[28]+x[34]+x[35]+2*x[38]+x[42]+x[46]+x[50])*q^9 + (x[36]+x[39]+x[48]+2*x[49]+x[53])*q^8 + (x[38]+x[46]+x[52]+x[54]+x[57]+x[60])*q^7 + (x[49]+x[53]+x[61])*q^6 + (x[54]+x[57])*q^5 + (x[61])*q^4 + (x[64])*q^3 # Green Polys by conj class in A(O) #10.1 : c = () |O_x_c^F| = 1/2*q^11*(q^2+q+1)*(q^2+1)*(q^3+1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,10,1] = (x[13]+x[14])*q^12 + (x[15]+x[16]+x[22]+x[23]+x[29]+x[30]+x[33]+x[35])*q^11 + (x[16]+x[24]+x[27]+x[29]+x[30]+x[31]+x[33]+2*x[34]+2*x[36]+x[37]+x[38]+x[45]+x[48])*q^10 + (x[26]+x[28]+x[32]+3*x[33]+x[34]+x[35]+x[36]+2*x[38]+2*x[39]+x[41]+x[42]+x[43]+x[46]+x[47]+x[48]+x[49]+x[50])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[36]+x[37]+2*x[38]+x[39]+x[44]+2*x[45]+x[48]+2*x[49]+3*x[50]+x[52]+x[53]+x[54]+x[56])*q^8 + (x[33]+x[38]+2*x[39]+x[43]+x[46]+2*x[47]+2*x[48]+x[49]+x[52]+2*x[53]+x[54]+x[57]+2*x[58]+x[60])*q^7 + (x[37]+x[38]+x[45]+x[49]+2*x[50]+x[51]+x[52]+x[53]+x[54]+x[55]+x[56]+x[59]+2*x[60]+x[61])*q^6 + (x[39]+x[47]+x[48]+x[53]+x[54]+x[57]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[61]+x[62])*q^4 + (x[53]+x[58]+x[63]+x[64])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #10.2 : c = (1) |O_x_c^F| = 1/2*q^11*(q^2-q+1)*(q^2+1)*(q^3-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,10,2] = (x[13]-x[14])*q^12 + (x[15]-x[16]+x[22]-x[23]-x[29]+x[30]+x[33]-x[35])*q^11 + (x[16]+x[24]+x[27]+x[29]-x[30]+x[31]-x[33]+2*x[34]-2*x[36]+x[37]+x[38]+x[45]-x[48])*q^10 + (x[26]-x[28]+x[32]+3*x[33]-x[34]-x[35]+x[36]-2*x[38]+2*x[39]+x[41]-x[42]+x[43]-x[46]+x[47]+x[48]+x[49]-x[50])*q^9 + (x[27]+x[31]+x[34]+x[35]-x[36]+x[37]+2*x[38]-x[39]+x[44]+2*x[45]-x[48]-2*x[49]+3*x[50]+x[52]-x[53]+x[54]+x[56])*q^8 + (x[33]-x[38]+2*x[39]+x[43]-x[46]+2*x[47]+2*x[48]+x[49]-x[52]+2*x[53]-x[54]-x[57]+2*x[58]-x[60])*q^7 + (x[37]+x[38]+x[45]-x[49]+2*x[50]+x[51]+x[52]-x[53]+x[54]+x[55]+x[56]+x[59]+2*x[60]-x[61])*q^6 + (x[39]+x[47]+x[48]+x[53]-x[54]-x[57]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]-x[61]+x[62])*q^4 + (x[53]+x[58]+x[63]-x[64])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #11 : [3, 3, 2, 2, 2] dim = 50 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[4]+6*V[3]+7*V[2]+6*V[1]+6*V[0] Z_G(x)_0 = O3+Sp2 # Green Polys by orbit reps #11.1 : x[15] : [3, 3, 2, 2, 2],[] : [[1, 1, 1], [2, 1]] Qxi[C6,11,1] = (x[15])*q^11 + (x[16]+x[24]+x[31]+x[34])*q^10 + (x[26]+x[32]+2*x[33]+x[36]+x[39]+x[43])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+x[38]+x[44]+x[45]+2*x[50]+x[52])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+x[48]+x[49]+x[53]+x[58])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[59]+x[60])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] # Green Polys by conj class in A(O) #11.1 : c = () |O_x_c^F| = q^12*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,11,1] = (x[15])*q^11 + (x[16]+x[24]+x[31]+x[34])*q^10 + (x[26]+x[32]+2*x[33]+x[36]+x[39]+x[43])*q^9 + (x[27]+x[31]+x[34]+x[35]+x[37]+x[38]+x[44]+x[45]+2*x[50]+x[52])*q^8 + (x[33]+2*x[39]+x[43]+2*x[47]+x[48]+x[49]+x[53]+x[58])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[52]+x[54]+x[55]+x[59]+x[60])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #12 : [3, 3, 3, 3] dim = 52 A(O) = 1 , |A(O)_0| = 1 g_s = 10*V[4]+6*V[2]+10*V[0] Z_G(x)_0 = Sp4 # Green Polys by orbit reps #12.1 : x[16] : [3, 3, 3, 3],[] : [[1, 1], [2, 2]] Qxi[C6,12,1] = (x[16])*q^10 + (x[33]+x[36])*q^9 + (x[27]+x[28]+x[34]+x[35]+x[38]+x[50])*q^8 + (x[33]+x[36]+x[39]+x[47]+x[48]+x[49]+x[53])*q^7 + (x[37]+2*x[38]+x[45]+x[46]+x[50]+x[51]+x[52]+x[54]+x[60])*q^6 + (x[39]+x[47]+x[48]+x[49]+2*x[53]+x[58]+x[61])*q^5 + (x[50]+2*x[54]+x[56]+x[57]+x[59]+x[60])*q^4 + (x[53]+x[58]+x[61]+x[63])*q^3 + (x[60]+x[62]+x[64])*q^2 + (x[63])*q + x[65] # Green Polys by conj class in A(O) #12.1 : c = () |O_x_c^F| = q^16*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,12,1] = (x[16])*q^10 + (x[33]+x[36])*q^9 + (x[27]+x[28]+x[34]+x[35]+x[38]+x[50])*q^8 + (x[33]+x[36]+x[39]+x[47]+x[48]+x[49]+x[53])*q^7 + (x[37]+2*x[38]+x[45]+x[46]+x[50]+x[51]+x[52]+x[54]+x[60])*q^6 + (x[39]+x[47]+x[48]+x[49]+2*x[53]+x[58]+x[61])*q^5 + (x[50]+2*x[54]+x[56]+x[57]+x[59]+x[60])*q^4 + (x[53]+x[58]+x[61]+x[63])*q^3 + (x[60]+x[62]+x[64])*q^2 + (x[63])*q + x[65] orbit #13 : [4, 1, 1, 1, 1, 1, 1, 1, 1] dim = 32 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+8*V[3]+V[2]+36*V[0] Z_G(x)_0 = O1+Sp8 # Green Polys by orbit reps #13.1 : x[17] : [4, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[2, 1, 1, 1, 1], []] Qxi[C6,13,1] = (x[17])*q^20 + (x[20])*q^19 + (x[21]+x[24]+x[40])*q^18 + (x[20]+x[22]+x[26]+x[43])*q^17 + (x[18]+x[21]+x[24]+x[25]+x[27]+x[31]+x[40]+x[44]+x[45])*q^16 + (x[20]+x[22]+2*x[26]+x[33]+x[41]+2*x[43]+x[47])*q^15 + (x[21]+2*x[24]+x[27]+x[29]+x[31]+x[37]+x[40]+2*x[44]+2*x[45]+x[50]+x[55])*q^14 + (x[20]+x[22]+2*x[26]+2*x[33]+x[41]+3*x[43]+2*x[47]+x[48]+x[58])*q^13 + (x[24]+x[25]+2*x[27]+x[29]+2*x[31]+x[35]+x[37]+x[40]+2*x[44]+3*x[45]+2*x[50]+x[51]+x[55]+x[56]+x[59])*q^12 + (x[22]+2*x[26]+2*x[33]+x[39]+x[41]+3*x[43]+3*x[47]+2*x[48]+2*x[58])*q^11 + (x[24]+x[27]+x[29]+x[31]+2*x[37]+x[38]+2*x[44]+3*x[45]+3*x[50]+x[51]+2*x[55]+x[56]+x[59]+x[60])*q^10 + (x[26]+2*x[33]+x[39]+x[41]+2*x[43]+3*x[47]+2*x[48]+x[53]+3*x[58])*q^9 + (x[27]+x[31]+x[35]+x[37]+x[38]+x[44]+2*x[45]+3*x[50]+x[55]+2*x[56]+2*x[59]+x[60]+x[62])*q^8 + (x[33]+x[39]+x[43]+2*x[47]+2*x[48]+x[53]+3*x[58]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[55]+x[56]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] # Green Polys by conj class in A(O) #13.1 : c = () |O_x_c^F| = q^10*(q^10-1)*(q^12-1) Qxc[C6,13,1] = (x[17])*q^20 + (x[20])*q^19 + (x[21]+x[24]+x[40])*q^18 + (x[20]+x[22]+x[26]+x[43])*q^17 + (x[18]+x[21]+x[24]+x[25]+x[27]+x[31]+x[40]+x[44]+x[45])*q^16 + (x[20]+x[22]+2*x[26]+x[33]+x[41]+2*x[43]+x[47])*q^15 + (x[21]+2*x[24]+x[27]+x[29]+x[31]+x[37]+x[40]+2*x[44]+2*x[45]+x[50]+x[55])*q^14 + (x[20]+x[22]+2*x[26]+2*x[33]+x[41]+3*x[43]+2*x[47]+x[48]+x[58])*q^13 + (x[24]+x[25]+2*x[27]+x[29]+2*x[31]+x[35]+x[37]+x[40]+2*x[44]+3*x[45]+2*x[50]+x[51]+x[55]+x[56]+x[59])*q^12 + (x[22]+2*x[26]+2*x[33]+x[39]+x[41]+3*x[43]+3*x[47]+2*x[48]+2*x[58])*q^11 + (x[24]+x[27]+x[29]+x[31]+2*x[37]+x[38]+2*x[44]+3*x[45]+3*x[50]+x[51]+2*x[55]+x[56]+x[59]+x[60])*q^10 + (x[26]+2*x[33]+x[39]+x[41]+2*x[43]+3*x[47]+2*x[48]+x[53]+3*x[58])*q^9 + (x[27]+x[31]+x[35]+x[37]+x[38]+x[44]+2*x[45]+3*x[50]+x[55]+2*x[56]+2*x[59]+x[60]+x[62])*q^8 + (x[33]+x[39]+x[43]+2*x[47]+2*x[48]+x[53]+3*x[58]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[55]+x[56]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #14 : [4, 2, 1, 1, 1, 1, 1, 1] dim = 40 A(O) = Z2 , |A(O)_0| = 2 g_s = V[6]+V[4]+6*V[3]+3*V[2]+6*V[1]+21*V[0] Z_G(x)_0 = Sp6+2*O1 # Green Polys by orbit reps #14.1 : x[18] : [4, 2, 1, 1, 1, 1, 1, 1],[1] : [[2], [1, 1, 1, 1]] Qxi[C6,14,1] = (x[18])*q^16 + (x[22]+x[41])*q^15 + (x[24]+x[29]+x[45])*q^14 + (x[20]+x[22]+x[33]+x[41]+x[43]+x[48])*q^13 + (x[24]+x[27]+x[29]+x[31]+x[35]+x[40]+2*x[45]+x[50]+x[56])*q^12 + (x[22]+x[26]+2*x[33]+x[41]+2*x[43]+x[47]+2*x[48]+x[58])*q^11 + (x[24]+x[27]+x[29]+x[31]+x[37]+x[38]+x[44]+3*x[45]+2*x[50]+x[55]+x[56]+x[60])*q^10 + (x[26]+2*x[33]+x[39]+x[41]+2*x[43]+2*x[47]+2*x[48]+x[53]+2*x[58])*q^9 + (x[27]+x[31]+x[35]+x[37]+x[38]+x[44]+2*x[45]+3*x[50]+x[55]+2*x[56]+x[59]+x[60])*q^8 + (x[33]+x[39]+x[43]+2*x[47]+2*x[48]+x[53]+3*x[58]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[55]+x[56]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #14.2 : x[19] : [4, 2, 1, 1, 1, 1, 1, 1],[-1] : [[], [3, 1, 1, 1]] Qxi[C6,14,2] = (x[19])*q^16 + (x[30])*q^15 + (x[23]+x[34]+x[42])*q^14 + (x[30]+x[32]+x[36]+x[49])*q^13 + (x[23]+x[34]+x[38]+x[42]+x[46]+x[52])*q^12 + (x[30]+x[36]+x[39]+2*x[49])*q^11 + (x[28]+x[34]+x[38]+x[42]+x[46]+x[52]+x[54]+x[57])*q^10 + (x[36]+x[39]+2*x[49]+x[61])*q^9 + (x[38]+x[46]+x[52]+x[54]+x[57])*q^8 + (x[49]+x[53]+x[61])*q^7 + (x[54]+x[57])*q^6 + (x[61])*q^5 + (x[64])*q^4 # Green Polys by conj class in A(O) #14.1 : c = () |O_x_c^F| = 1/2*q^10*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,14,1] = (x[18]+x[19])*q^16 + (x[22]+x[30]+x[41])*q^15 + (x[23]+x[24]+x[29]+x[34]+x[42]+x[45])*q^14 + (x[20]+x[22]+x[30]+x[32]+x[33]+x[36]+x[41]+x[43]+x[48]+x[49])*q^13 + (x[23]+x[24]+x[27]+x[29]+x[31]+x[34]+x[35]+x[38]+x[40]+x[42]+2*x[45]+x[46]+x[50]+x[52]+x[56])*q^12 + (x[22]+x[26]+x[30]+2*x[33]+x[36]+x[39]+x[41]+2*x[43]+x[47]+2*x[48]+2*x[49]+x[58])*q^11 + (x[24]+x[27]+x[28]+x[29]+x[31]+x[34]+x[37]+2*x[38]+x[42]+x[44]+3*x[45]+x[46]+2*x[50]+x[52]+x[54]+x[55]+x[56]+x[57]+x[60])*q^10 + (x[26]+2*x[33]+x[36]+2*x[39]+x[41]+2*x[43]+2*x[47]+2*x[48]+2*x[49]+x[53]+2*x[58]+x[61])*q^9 + (x[27]+x[31]+x[35]+x[37]+2*x[38]+x[44]+2*x[45]+x[46]+3*x[50]+x[52]+x[54]+x[55]+2*x[56]+x[57]+x[59]+x[60])*q^8 + (x[33]+x[39]+x[43]+2*x[47]+2*x[48]+x[49]+2*x[53]+3*x[58]+x[61]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[54]+x[55]+x[56]+x[57]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62]+x[64])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #14.2 : c = (1) |O_x_c^F| = 1/2*q^10*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,14,2] = (x[18]-x[19])*q^16 + (x[22]-x[30]+x[41])*q^15 + (-x[23]+x[24]+x[29]-x[34]-x[42]+x[45])*q^14 + (x[20]+x[22]-x[30]-x[32]+x[33]-x[36]+x[41]+x[43]+x[48]-x[49])*q^13 + (-x[23]+x[24]+x[27]+x[29]+x[31]-x[34]+x[35]-x[38]+x[40]-x[42]+2*x[45]-x[46]+x[50]-x[52]+x[56])*q^12 + (x[22]+x[26]-x[30]+2*x[33]-x[36]-x[39]+x[41]+2*x[43]+x[47]+2*x[48]-2*x[49]+x[58])*q^11 + (x[24]+x[27]-x[28]+x[29]+x[31]-x[34]+x[37]-x[42]+x[44]+3*x[45]-x[46]+2*x[50]-x[52]-x[54]+x[55]+x[56]-x[57]+x[60])*q^10 + (x[26]+2*x[33]-x[36]+x[41]+2*x[43]+2*x[47]+2*x[48]-2*x[49]+x[53]+2*x[58]-x[61])*q^9 + (x[27]+x[31]+x[35]+x[37]+x[44]+2*x[45]-x[46]+3*x[50]-x[52]-x[54]+x[55]+2*x[56]-x[57]+x[59]+x[60])*q^8 + (x[33]+x[39]+x[43]+2*x[47]+2*x[48]-x[49]+3*x[58]-x[61]+x[63])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]-x[54]+x[55]+x[56]-x[57]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]-x[61]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62]-x[64])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #15 : [4, 2, 2, 1, 1, 1, 1] dim = 46 A(O) = Z2 , |A(O)_0| = 2 g_s = V[6]+2*V[4]+4*V[3]+6*V[2]+8*V[1]+11*V[0] Z_G(x)_0 = O2+Sp4+O1 # Green Polys by orbit reps #15.1 : x[20] : [4, 2, 2, 1, 1, 1, 1],[1] : [[2, 1, 1, 1], [1]] Qxi[C6,15,1] = (x[20])*q^13 + (x[24]+x[31]+x[40])*q^12 + (x[22]+x[26]+x[33]+2*x[43])*q^11 + (x[24]+x[27]+x[29]+x[31]+x[37]+x[44]+2*x[45]+x[50]+x[55])*q^10 + (x[26]+2*x[33]+x[39]+x[41]+2*x[43]+2*x[47]+x[48]+x[58])*q^9 + (x[27]+x[31]+x[35]+x[37]+x[38]+x[44]+2*x[45]+3*x[50]+x[55]+x[56]+x[59])*q^8 + (x[33]+x[39]+x[43]+2*x[47]+2*x[48]+x[53]+3*x[58])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[55]+x[56]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #15.2 : x[21] : [4, 2, 2, 1, 1, 1, 1],[-1] : [[2, 2, 1, 1], []] Qxi[C6,15,2] = (x[21])*q^13 + (x[26])*q^12 + (x[25]+x[27]+x[44])*q^11 + (x[26]+x[47])*q^10 + (x[37]+x[44]+x[51])*q^9 + (x[47])*q^8 + (x[59])*q^7 # Green Polys by conj class in A(O) #15.1 : c = () |O_x_c^F| = 1/2*q^11*(q^2+q+1)*(q^3+1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,15,1] = (x[20]+x[21])*q^13 + (x[24]+x[26]+x[31]+x[40])*q^12 + (x[22]+x[25]+x[26]+x[27]+x[33]+2*x[43]+x[44])*q^11 + (x[24]+x[26]+x[27]+x[29]+x[31]+x[37]+x[44]+2*x[45]+x[47]+x[50]+x[55])*q^10 + (x[26]+2*x[33]+x[37]+x[39]+x[41]+2*x[43]+x[44]+2*x[47]+x[48]+x[51]+x[58])*q^9 + (x[27]+x[31]+x[35]+x[37]+x[38]+x[44]+2*x[45]+x[47]+3*x[50]+x[55]+x[56]+x[59])*q^8 + (x[33]+x[39]+x[43]+2*x[47]+2*x[48]+x[53]+3*x[58]+x[59])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[55]+x[56]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #15.2 : c = (1) |O_x_c^F| = 1/2*q^11*(q^2-q+1)*(q^3-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,15,2] = (x[20]-x[21])*q^13 + (x[24]-x[26]+x[31]+x[40])*q^12 + (x[22]-x[25]+x[26]-x[27]+x[33]+2*x[43]-x[44])*q^11 + (x[24]-x[26]+x[27]+x[29]+x[31]+x[37]+x[44]+2*x[45]-x[47]+x[50]+x[55])*q^10 + (x[26]+2*x[33]-x[37]+x[39]+x[41]+2*x[43]-x[44]+2*x[47]+x[48]-x[51]+x[58])*q^9 + (x[27]+x[31]+x[35]+x[37]+x[38]+x[44]+2*x[45]-x[47]+3*x[50]+x[55]+x[56]+x[59])*q^8 + (x[33]+x[39]+x[43]+2*x[47]+2*x[48]+x[53]+3*x[58]-x[59])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[55]+x[56]+x[59]+2*x[60]+x[62])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #16 : [4, 2, 2, 2, 1, 1] dim = 50 A(O) = Z2 , |A(O)_0| = 2 g_s = V[6]+3*V[4]+2*V[3]+10*V[2]+6*V[1]+6*V[0] Z_G(x)_0 = Sp2+O3+O1 # Green Polys by orbit reps #16.1 : x[22] : [4, 2, 2, 2, 1, 1],[1] : [[2, 1], [1, 1, 1]] Qxi[C6,16,1] = (x[22])*q^11 + (x[24]+x[27]+x[29]+x[45])*q^10 + (x[26]+2*x[33]+x[41]+x[43]+x[47]+x[48])*q^9 + (x[27]+x[31]+x[35]+x[37]+x[38]+x[44]+2*x[45]+2*x[50]+x[56])*q^8 + (x[33]+x[39]+x[43]+2*x[47]+2*x[48]+x[53]+2*x[58])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[55]+x[56]+x[59]+2*x[60])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #16.2 : x[23] : [4, 2, 2, 2, 1, 1],[-1] : [[], [3, 2, 1]] Qxi[C6,16,2] = (x[23])*q^11 + (x[30]+x[36])*q^10 + (x[28]+x[34]+x[38]+x[42]+x[46])*q^9 + (x[36]+x[39]+2*x[49])*q^8 + (x[38]+x[46]+x[52]+x[54]+x[57])*q^7 + (x[49]+x[53]+x[61])*q^6 + (x[54]+x[57])*q^5 + (x[61])*q^4 + (x[64])*q^3 # Green Polys by conj class in A(O) #16.1 : c = () |O_x_c^F| = 1/2*q^12*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,16,1] = (x[22]+x[23])*q^11 + (x[24]+x[27]+x[29]+x[30]+x[36]+x[45])*q^10 + (x[26]+x[28]+2*x[33]+x[34]+x[38]+x[41]+x[42]+x[43]+x[46]+x[47]+x[48])*q^9 + (x[27]+x[31]+x[35]+x[36]+x[37]+x[38]+x[39]+x[44]+2*x[45]+2*x[49]+2*x[50]+x[56])*q^8 + (x[33]+x[38]+x[39]+x[43]+x[46]+2*x[47]+2*x[48]+x[52]+x[53]+x[54]+x[57]+2*x[58])*q^7 + (x[37]+x[38]+x[45]+x[49]+2*x[50]+x[51]+x[53]+x[55]+x[56]+x[59]+2*x[60]+x[61])*q^6 + (x[39]+x[47]+x[48]+x[53]+x[54]+x[57]+2*x[58]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[61]+x[62])*q^4 + (x[53]+x[58]+x[63]+x[64])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #16.2 : c = (1) |O_x_c^F| = 1/2*q^12*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,16,2] = (x[22]-x[23])*q^11 + (x[24]+x[27]+x[29]-x[30]-x[36]+x[45])*q^10 + (x[26]-x[28]+2*x[33]-x[34]-x[38]+x[41]-x[42]+x[43]-x[46]+x[47]+x[48])*q^9 + (x[27]+x[31]+x[35]-x[36]+x[37]+x[38]-x[39]+x[44]+2*x[45]-2*x[49]+2*x[50]+x[56])*q^8 + (x[33]-x[38]+x[39]+x[43]-x[46]+2*x[47]+2*x[48]-x[52]+x[53]-x[54]-x[57]+2*x[58])*q^7 + (x[37]+x[38]+x[45]-x[49]+2*x[50]+x[51]-x[53]+x[55]+x[56]+x[59]+2*x[60]-x[61])*q^6 + (x[39]+x[47]+x[48]+x[53]-x[54]-x[57]+2*x[58]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]-x[61]+x[62])*q^4 + (x[53]+x[58]+x[63]-x[64])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #17 : [4, 2, 2, 2, 2] dim = 52 A(O) = Z2 , |A(O)_0| = 2 g_s = V[6]+4*V[4]+15*V[2]+6*V[0] Z_G(x)_0 = O4+O1 # Green Polys by orbit reps #17.1 : x[24] : [4, 2, 2, 2, 2],[1] : [[2, 1, 1], [1, 1]] Qxi[C6,17,1] = (x[24])*q^10 + (x[26]+x[33]+x[43])*q^9 + (x[27]+x[31]+x[35]+x[37]+x[44]+x[45]+x[50])*q^8 + (x[33]+x[39]+x[43]+2*x[47]+x[48]+x[58])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[55]+x[59]+x[60])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #17.2 : x[25] : [4, 2, 2, 2, 2],[-1] : [[2, 2, 2], []] Qxi[C6,17,2] = (x[25])*q^10 + (x[26])*q^9 + (x[37]+x[44])*q^8 + (x[47])*q^7 + (x[59])*q^6 # Green Polys by conj class in A(O) #17.1 : c = () |O_x_c^F| = 1/2*q^14*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,17,1] = (x[24]+x[25])*q^10 + (2*x[26]+x[33]+x[43])*q^9 + (x[27]+x[31]+x[35]+2*x[37]+2*x[44]+x[45]+x[50])*q^8 + (x[33]+x[39]+x[43]+3*x[47]+x[48]+x[58])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[55]+2*x[59]+x[60])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #17.2 : c = (1) |O_x_c^F| = 1/2*q^14*(q^2-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,17,2] = (x[24]-x[25])*q^10 + (x[33]+x[43])*q^9 + (x[27]+x[31]+x[35]+x[45]+x[50])*q^8 + (x[33]+x[39]+x[43]+x[47]+x[48]+x[58])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[55]+x[60])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #18 : [4, 3, 3, 1, 1] dim = 54 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+2*V[5]+3*V[4]+4*V[3]+6*V[2]+2*V[1]+6*V[0] Z_G(x)_0 = O1+2*Sp2 # Green Polys by orbit reps #18.1 : x[26] : [4, 3, 3, 1, 1],[] : [[2, 2, 1], [1]] Qxi[C6,18,1] = (x[26])*q^9 + (x[27]+x[31]+x[37]+x[44])*q^8 + (x[33]+x[39]+x[43]+2*x[47])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[55]+x[59])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] # Green Polys by conj class in A(O) #18.1 : c = () |O_x_c^F| = q^16*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,18,1] = (x[26])*q^9 + (x[27]+x[31]+x[37]+x[44])*q^8 + (x[33]+x[39]+x[43]+2*x[47])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[51]+x[55]+x[59])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #19 : [4, 3, 3, 2] dim = 56 A(O) = Z2 , |A(O)_0| = 2 g_s = V[6]+2*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 #19.1 : x[27] : [4, 3, 3, 2],[1] : [[2, 2], [1, 1]] Qxi[C6,19,1] = (x[27])*q^8 + (x[33]+x[47])*q^7 + (x[37]+x[38]+x[45]+x[50]+x[51])*q^6 + (x[39]+x[47]+x[48]+x[53]+x[58])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #19.2 : x[28] : [4, 3, 3, 2],[-1] : [[], [3, 3]] Qxi[C6,19,2] = (x[28])*q^8 + (x[36])*q^7 + (x[38]+x[46])*q^6 + (x[49]+x[53])*q^5 + (x[54]+x[57])*q^4 + (x[61])*q^3 + (x[64])*q^2 # Green Polys by conj class in A(O) #19.1 : c = () |O_x_c^F| = 1/2*q^16*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,19,1] = (x[27]+x[28])*q^8 + (x[33]+x[36]+x[47])*q^7 + (x[37]+2*x[38]+x[45]+x[46]+x[50]+x[51])*q^6 + (x[39]+x[47]+x[48]+x[49]+2*x[53]+x[58])*q^5 + (x[50]+2*x[54]+x[56]+x[57]+x[59]+x[60])*q^4 + (x[53]+x[58]+x[61]+x[63])*q^3 + (x[60]+x[62]+x[64])*q^2 + (x[63])*q + x[65] #19.2 : c = (1) |O_x_c^F| = 1/2*q^16*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,19,2] = (x[27]-x[28])*q^8 + (x[33]-x[36]+x[47])*q^7 + (x[37]+x[45]-x[46]+x[50]+x[51])*q^6 + (x[39]+x[47]+x[48]-x[49]+x[58])*q^5 + (x[50]+x[56]-x[57]+x[59]+x[60])*q^4 + (x[53]+x[58]-x[61]+x[63])*q^3 + (x[60]+x[62]-x[64])*q^2 + (x[63])*q + x[65] orbit #20 : [4, 4, 1, 1, 1, 1] dim = 52 A(O) = Z2 , |A(O)_0| = 2 g_s = 3*V[6]+V[4]+8*V[3]+3*V[2]+11*V[0] Z_G(x)_0 = Sp4+O2 # Green Polys by orbit reps #20.1 : x[29] : [4, 4, 1, 1, 1, 1],[1] : [[2], [2, 1, 1]] Qxi[C6,20,1] = (x[29])*q^10 + (x[33]+x[41]+x[48])*q^9 + (x[31]+x[35]+x[38]+x[45]+x[50]+x[56])*q^8 + (x[33]+x[39]+x[43]+2*x[48]+x[53]+x[58])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[55]+x[56]+2*x[60])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #20.2 : x[30] : [4, 4, 1, 1, 1, 1],[-1] : [[1], [3, 1, 1]] Qxi[C6,20,2] = (x[30])*q^10 + (x[34]+x[38]+x[42])*q^9 + (x[32]+x[36]+x[39]+2*x[49])*q^8 + (x[34]+x[38]+x[46]+2*x[52]+x[54]+x[57])*q^7 + (x[39]+2*x[49]+x[53]+x[61])*q^6 + (x[52]+2*x[54]+x[57])*q^5 + (2*x[61])*q^4 + (x[64])*q^3 # Green Polys by conj class in A(O) #20.1 : c = () |O_x_c^F| = 1/2*q^17*(q^2+q+1)*(q^3+1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,20,1] = (x[29]+x[30])*q^10 + (x[33]+x[34]+x[38]+x[41]+x[42]+x[48])*q^9 + (x[31]+x[32]+x[35]+x[36]+x[38]+x[39]+x[45]+2*x[49]+x[50]+x[56])*q^8 + (x[33]+x[34]+x[38]+x[39]+x[43]+x[46]+2*x[48]+2*x[52]+x[53]+x[54]+x[57]+x[58])*q^7 + (x[37]+x[38]+x[39]+x[45]+2*x[49]+2*x[50]+x[53]+x[55]+x[56]+2*x[60]+x[61])*q^6 + (x[39]+x[47]+x[48]+x[52]+x[53]+2*x[54]+x[57]+2*x[58]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+2*x[61]+x[62])*q^4 + (x[53]+x[58]+x[63]+x[64])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #20.2 : c = (1) |O_x_c^F| = 1/2*q^17*(q^2-q+1)*(q^3-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,20,2] = (x[29]-x[30])*q^10 + (x[33]-x[34]-x[38]+x[41]-x[42]+x[48])*q^9 + (x[31]-x[32]+x[35]-x[36]+x[38]-x[39]+x[45]-2*x[49]+x[50]+x[56])*q^8 + (x[33]-x[34]-x[38]+x[39]+x[43]-x[46]+2*x[48]-2*x[52]+x[53]-x[54]-x[57]+x[58])*q^7 + (x[37]+x[38]-x[39]+x[45]-2*x[49]+2*x[50]-x[53]+x[55]+x[56]+2*x[60]-x[61])*q^6 + (x[39]+x[47]+x[48]-x[52]+x[53]-2*x[54]-x[57]+2*x[58]+x[63])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]-2*x[61]+x[62])*q^4 + (x[53]+x[58]+x[63]-x[64])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #21 : [4, 4, 2, 1, 1] dim = 56 A(O) = Z2 , |A(O)_0| = 2 g_s = 3*V[6]+3*V[4]+4*V[3]+6*V[2]+2*V[1]+4*V[0] Z_G(x)_0 = O2+Sp2+O1 # Green Polys by orbit reps #21.1 : x[31] : [4, 4, 2, 1, 1],[1] : [[2, 1, 1], [2]] Qxi[C6,21,1] = (x[31])*q^8 + (x[33]+x[39]+x[43])*q^7 + (x[37]+x[38]+x[45]+2*x[50]+x[55])*q^6 + (x[39]+x[47]+x[48]+x[53]+2*x[58])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #21.2 : x[32] : [4, 4, 2, 1, 1],[-1] : [[1, 1, 1], [3]] Qxi[C6,21,2] = (x[32])*q^8 + (x[34]+x[52])*q^7 + (x[39]+x[49])*q^6 + (x[52]+x[54])*q^5 + (x[61])*q^4 # Green Polys by conj class in A(O) #21.1 : c = () |O_x_c^F| = 1/2*q^17*(q+1)*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,21,1] = (x[31]+x[32])*q^8 + (x[33]+x[34]+x[39]+x[43]+x[52])*q^7 + (x[37]+x[38]+x[39]+x[45]+x[49]+2*x[50]+x[55])*q^6 + (x[39]+x[47]+x[48]+x[52]+x[53]+x[54]+2*x[58])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]+x[61]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #21.2 : c = (1) |O_x_c^F| = 1/2*q^17*(q-1)*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,21,2] = (x[31]-x[32])*q^8 + (x[33]-x[34]+x[39]+x[43]-x[52])*q^7 + (x[37]+x[38]-x[39]+x[45]-x[49]+2*x[50]+x[55])*q^6 + (x[39]+x[47]+x[48]-x[52]+x[53]-x[54]+2*x[58])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60]-x[61]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #22 : [4, 4, 2, 2] dim = 58 A(O) = Z2^2 , |A(O)_0| = 4 g_s = 3*V[6]+5*V[4]+10*V[2]+2*V[0] Z_G(x)_0 = 2*O2 # Green Polys by orbit reps #22.1 : x[33] : [4, 4, 2, 2],[1, 1] : [[2, 1], [2, 1]] Qxi[C6,22,1] = (x[33])*q^7 + (x[37]+x[38]+x[45]+x[50])*q^6 + (x[39]+x[47]+x[48]+x[53]+x[58])*q^5 + (x[50]+x[54]+x[56]+x[59]+x[60])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #22.2 : x[34] : [4, 4, 2, 2],[-1, 1] : [[1, 1], [3, 1]] Qxi[C6,22,2] = (x[34])*q^7 + (x[39]+x[49])*q^6 + (x[52]+x[54])*q^5 + (x[61])*q^4 #22.3 : x[35] : [4, 4, 2, 2],[1, -1] : [[2], [2, 2]] Qxi[C6,22,3] = (x[35])*q^7 + (x[48])*q^6 + (x[60])*q^5 #22.4 : x[36] : [4, 4, 2, 2],[-1, -1] : [[1], [3, 2]] Qxi[C6,22,4] = (x[36])*q^7 + (x[38]+x[46])*q^6 + (x[49]+x[53])*q^5 + (x[54]+x[57])*q^4 + (x[61])*q^3 + (x[64])*q^2 # Green Polys by conj class in A(O) #22.1 : c = () |O_x_c^F| = 1/4*q^18*(q+1)^2*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,22,1] = (x[33]+x[34]+x[35]+x[36])*q^7 + (x[37]+2*x[38]+x[39]+x[45]+x[46]+x[48]+x[49]+x[50])*q^6 + (x[39]+x[47]+x[48]+x[49]+x[52]+2*x[53]+x[54]+x[58]+x[60])*q^5 + (x[50]+2*x[54]+x[56]+x[57]+x[59]+x[60]+x[61])*q^4 + (x[53]+x[58]+x[61]+x[63])*q^3 + (x[60]+x[62]+x[64])*q^2 + (x[63])*q + x[65] #22.2 : c = (1) |O_x_c^F| = 1/4*q^18*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,22,2] = (x[33]-x[34]+x[35]-x[36])*q^7 + (x[37]-x[39]+x[45]-x[46]+x[48]-x[49]+x[50])*q^6 + (x[39]+x[47]+x[48]-x[49]-x[52]-x[54]+x[58]+x[60])*q^5 + (x[50]+x[56]-x[57]+x[59]+x[60]-x[61])*q^4 + (x[53]+x[58]-x[61]+x[63])*q^3 + (x[60]+x[62]-x[64])*q^2 + (x[63])*q + x[65] #22.3 : c = (2) |O_x_c^F| = 1/4*q^18*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,22,3] = (x[33]+x[34]-x[35]-x[36])*q^7 + (x[37]+x[39]+x[45]-x[46]-x[48]+x[49]+x[50])*q^6 + (x[39]+x[47]+x[48]-x[49]+x[52]+x[54]+x[58]-x[60])*q^5 + (x[50]+x[56]-x[57]+x[59]+x[60]+x[61])*q^4 + (x[53]+x[58]-x[61]+x[63])*q^3 + (x[60]+x[62]-x[64])*q^2 + (x[63])*q + x[65] #22.4 : c = (12) |O_x_c^F| = 1/4*q^18*(q-1)^2*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,22,4] = (x[33]-x[34]-x[35]+x[36])*q^7 + (x[37]+2*x[38]-x[39]+x[45]+x[46]-x[48]-x[49]+x[50])*q^6 + (x[39]+x[47]+x[48]+x[49]-x[52]+2*x[53]-x[54]+x[58]-x[60])*q^5 + (x[50]+2*x[54]+x[56]+x[57]+x[59]+x[60]-x[61])*q^4 + (x[53]+x[58]+x[61]+x[63])*q^3 + (x[60]+x[62]+x[64])*q^2 + (x[63])*q + x[65] orbit #23 : [4, 4, 4] dim = 60 A(O) = 1 , |A(O)_0| = 1 g_s = 6*V[6]+3*V[4]+6*V[2]+3*V[0] Z_G(x)_0 = O3 # Green Polys by orbit reps #23.1 : x[37] : [4, 4, 4],[] : [[2, 2], [2]] Qxi[C6,23,1] = (x[37])*q^6 + (x[39]+x[47])*q^5 + (x[50]+x[54]+x[59])*q^4 + (x[53]+x[58])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] # Green Polys by conj class in A(O) #23.1 : c = () |O_x_c^F| = q^20*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,23,1] = (x[37])*q^6 + (x[39]+x[47])*q^5 + (x[50]+x[54]+x[59])*q^4 + (x[53]+x[58])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #24 : [5, 5, 1, 1] dim = 60 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[8]+V[6]+7*V[4]+V[2]+6*V[0] Z_G(x)_0 = 2*Sp2 # Green Polys by orbit reps #24.1 : x[38] : [5, 5, 1, 1],[] : [[2], [3, 1]] Qxi[C6,24,1] = (x[38])*q^6 + (x[39]+x[48]+x[49]+x[53])*q^5 + (x[50]+x[52]+2*x[54]+x[56]+x[57]+x[60])*q^4 + (x[53]+x[58]+2*x[61]+x[63])*q^3 + (x[60]+x[62]+x[64])*q^2 + (x[63])*q + x[65] # Green Polys by conj class in A(O) #24.1 : c = () |O_x_c^F| = q^22*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,24,1] = (x[38])*q^6 + (x[39]+x[48]+x[49]+x[53])*q^5 + (x[50]+x[52]+2*x[54]+x[56]+x[57]+x[60])*q^4 + (x[53]+x[58]+2*x[61]+x[63])*q^3 + (x[60]+x[62]+x[64])*q^2 + (x[63])*q + x[65] orbit #25 : [5, 5, 2] dim = 62 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[8]+V[6]+2*V[5]+3*V[4]+2*V[3]+2*V[2]+3*V[0] Z_G(x)_0 = O1+Sp2 # Green Polys by orbit reps #25.1 : x[39] : [5, 5, 2],[] : [[2, 1], [3]] Qxi[C6,25,1] = (x[39])*q^5 + (x[50]+x[52]+x[54])*q^4 + (x[53]+x[58]+x[61])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] # Green Polys by conj class in A(O) #25.1 : c = () |O_x_c^F| = q^22*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,25,1] = (x[39])*q^5 + (x[50]+x[52]+x[54])*q^4 + (x[53]+x[58]+x[61])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #26 : [6, 1, 1, 1, 1, 1, 1] dim = 48 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+V[6]+6*V[5]+V[2]+21*V[0] Z_G(x)_0 = O1+Sp6 # Green Polys by orbit reps #26.1 : x[40] : [6, 1, 1, 1, 1, 1, 1],[] : [[3, 1, 1, 1], []] Qxi[C6,26,1] = (x[40])*q^12 + (x[43])*q^11 + (x[44]+x[45]+x[55])*q^10 + (x[41]+x[43]+x[47]+x[58])*q^9 + (x[44]+x[45]+x[50]+x[55]+x[56]+x[59])*q^8 + (x[43]+x[47]+x[48]+2*x[58])*q^7 + (x[45]+x[50]+x[51]+x[55]+x[56]+x[59]+x[60]+x[62])*q^6 + (x[47]+x[48]+2*x[58]+x[63])*q^5 + (x[50]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] # Green Polys by conj class in A(O) #26.1 : c = () |O_x_c^F| = q^18*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,26,1] = (x[40])*q^12 + (x[43])*q^11 + (x[44]+x[45]+x[55])*q^10 + (x[41]+x[43]+x[47]+x[58])*q^9 + (x[44]+x[45]+x[50]+x[55]+x[56]+x[59])*q^8 + (x[43]+x[47]+x[48]+2*x[58])*q^7 + (x[45]+x[50]+x[51]+x[55]+x[56]+x[59]+x[60]+x[62])*q^6 + (x[47]+x[48]+2*x[58]+x[63])*q^5 + (x[50]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #27 : [6, 2, 1, 1, 1, 1] dim = 54 A(O) = Z2 , |A(O)_0| = 2 g_s = V[10]+2*V[6]+4*V[5]+V[4]+2*V[2]+4*V[1]+10*V[0] Z_G(x)_0 = Sp4+2*O1 # Green Polys by orbit reps #27.1 : x[41] : [6, 2, 1, 1, 1, 1],[1] : [[3], [1, 1, 1]] Qxi[C6,27,1] = (x[41])*q^9 + (x[45]+x[56])*q^8 + (x[43]+x[48]+x[58])*q^7 + (x[45]+x[50]+x[55]+x[56]+x[60])*q^6 + (x[47]+x[48]+2*x[58]+x[63])*q^5 + (x[50]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #27.2 : x[42] : [6, 2, 1, 1, 1, 1],[-1] : [[], [4, 1, 1]] Qxi[C6,27,2] = (x[42])*q^9 + (x[49])*q^8 + (x[46]+x[52]+x[57])*q^7 + (x[49]+x[61])*q^6 + (x[54]+x[57])*q^5 + (x[61])*q^4 + (x[64])*q^3 # Green Polys by conj class in A(O) #27.1 : c = () |O_x_c^F| = 1/2*q^18*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,27,1] = (x[41]+x[42])*q^9 + (x[45]+x[49]+x[56])*q^8 + (x[43]+x[46]+x[48]+x[52]+x[57]+x[58])*q^7 + (x[45]+x[49]+x[50]+x[55]+x[56]+x[60]+x[61])*q^6 + (x[47]+x[48]+x[54]+x[57]+2*x[58]+x[63])*q^5 + (x[50]+x[56]+x[59]+x[60]+x[61]+x[62])*q^4 + (x[53]+x[58]+x[63]+x[64])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #27.2 : c = (1) |O_x_c^F| = 1/2*q^18*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,27,2] = (x[41]-x[42])*q^9 + (x[45]-x[49]+x[56])*q^8 + (x[43]-x[46]+x[48]-x[52]-x[57]+x[58])*q^7 + (x[45]-x[49]+x[50]+x[55]+x[56]+x[60]-x[61])*q^6 + (x[47]+x[48]-x[54]-x[57]+2*x[58]+x[63])*q^5 + (x[50]+x[56]+x[59]+x[60]-x[61]+x[62])*q^4 + (x[53]+x[58]+x[63]-x[64])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #28 : [6, 2, 2, 1, 1] dim = 58 A(O) = Z2 , |A(O)_0| = 2 g_s = V[10]+3*V[6]+2*V[5]+2*V[4]+4*V[2]+4*V[1]+4*V[0] Z_G(x)_0 = O2+Sp2+O1 # Green Polys by orbit reps #28.1 : x[43] : [6, 2, 2, 1, 1],[1] : [[3, 1, 1], [1]] Qxi[C6,28,1] = (x[43])*q^7 + (x[45]+x[50]+x[55])*q^6 + (x[47]+x[48]+2*x[58])*q^5 + (x[50]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #28.2 : x[44] : [6, 2, 2, 1, 1],[-1] : [[3, 2, 1], []] Qxi[C6,28,2] = (x[44])*q^7 + (x[47])*q^6 + (x[51]+x[59])*q^5 # Green Polys by conj class in A(O) #28.1 : c = () |O_x_c^F| = 1/2*q^19*(q+1)*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,28,1] = (x[43]+x[44])*q^7 + (x[45]+x[47]+x[50]+x[55])*q^6 + (x[47]+x[48]+x[51]+2*x[58]+x[59])*q^5 + (x[50]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #28.2 : c = (1) |O_x_c^F| = 1/2*q^19*(q-1)*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,28,2] = (x[43]-x[44])*q^7 + (x[45]-x[47]+x[50]+x[55])*q^6 + (x[47]+x[48]-x[51]+2*x[58]-x[59])*q^5 + (x[50]+x[56]+x[59]+x[60]+x[62])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #29 : [6, 2, 2, 2] dim = 60 A(O) = Z2 , |A(O)_0| = 2 g_s = V[10]+4*V[6]+3*V[4]+7*V[2]+3*V[0] Z_G(x)_0 = O3+O1 # Green Polys by orbit reps #29.1 : x[45] : [6, 2, 2, 2],[1] : [[3, 1], [1, 1]] Qxi[C6,29,1] = (x[45])*q^6 + (x[47]+x[48]+x[58])*q^5 + (x[50]+x[56]+x[59]+x[60])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #29.2 : x[46] : [6, 2, 2, 2],[-1] : [[], [4, 2]] Qxi[C6,29,2] = (x[46])*q^6 + (x[49])*q^5 + (x[54]+x[57])*q^4 + (x[61])*q^3 + (x[64])*q^2 # Green Polys by conj class in A(O) #29.1 : c = () |O_x_c^F| = 1/2*q^20*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,29,1] = (x[45]+x[46])*q^6 + (x[47]+x[48]+x[49]+x[58])*q^5 + (x[50]+x[54]+x[56]+x[57]+x[59]+x[60])*q^4 + (x[53]+x[58]+x[61]+x[63])*q^3 + (x[60]+x[62]+x[64])*q^2 + (x[63])*q + x[65] #29.2 : c = (1) |O_x_c^F| = 1/2*q^20*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,29,2] = (x[45]-x[46])*q^6 + (x[47]+x[48]-x[49]+x[58])*q^5 + (x[50]-x[54]+x[56]-x[57]+x[59]+x[60])*q^4 + (x[53]+x[58]-x[61]+x[63])*q^3 + (x[60]+x[62]-x[64])*q^2 + (x[63])*q + x[65] orbit #30 : [6, 3, 3] dim = 62 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+2*V[7]+V[6]+2*V[5]+3*V[4]+2*V[3]+2*V[2]+3*V[0] Z_G(x)_0 = O1+Sp2 # Green Polys by orbit reps #30.1 : x[47] : [6, 3, 3],[] : [[3, 2], [1]] Qxi[C6,30,1] = (x[47])*q^5 + (x[50]+x[51]+x[59])*q^4 + (x[53]+x[58])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] # Green Polys by conj class in A(O) #30.1 : c = () |O_x_c^F| = q^22*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,30,1] = (x[47])*q^5 + (x[50]+x[51]+x[59])*q^4 + (x[53]+x[58])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #31 : [6, 4, 1, 1] dim = 62 A(O) = Z2 , |A(O)_0| = 2 g_s = V[10]+V[8]+3*V[6]+2*V[5]+V[4]+2*V[3]+3*V[2]+3*V[0] Z_G(x)_0 = Sp2+2*O1 # Green Polys by orbit reps #31.1 : x[48] : [6, 4, 1, 1],[1] : [[3], [2, 1]] Qxi[C6,31,1] = (x[48])*q^5 + (x[50]+x[56]+x[60])*q^4 + (x[53]+x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #31.2 : x[49] : [6, 4, 1, 1],[-1] : [[1], [4, 1]] Qxi[C6,31,2] = (x[49])*q^5 + (x[52]+x[54]+x[57])*q^4 + (2*x[61])*q^3 + (x[64])*q^2 # Green Polys by conj class in A(O) #31.1 : c = () |O_x_c^F| = 1/2*q^22*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,31,1] = (x[48]+x[49])*q^5 + (x[50]+x[52]+x[54]+x[56]+x[57]+x[60])*q^4 + (x[53]+x[58]+2*x[61]+x[63])*q^3 + (x[60]+x[62]+x[64])*q^2 + (x[63])*q + x[65] #31.2 : c = (1) |O_x_c^F| = 1/2*q^22*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,31,2] = (x[48]-x[49])*q^5 + (x[50]-x[52]-x[54]+x[56]-x[57]+x[60])*q^4 + (x[53]+x[58]-2*x[61]+x[63])*q^3 + (x[60]+x[62]-x[64])*q^2 + (x[63])*q + x[65] orbit #32 : [6, 4, 2] dim = 64 A(O) = Z2^2 , |A(O)_0| = 3 g_s = V[10]+V[8]+4*V[6]+3*V[4]+5*V[2] Z_G(x)_0 = 3*O1 # Green Polys by orbit reps #32.1 : x[50] : [6, 4, 2],[1, 1] : [[3, 1], [2]] Qxi[C6,32,1] = (x[50])*q^4 + (x[53]+x[58])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #32.2 : x[51] : [6, 4, 2],[-1, 1] : [[3, 3], []] Qxi[C6,32,2] = (x[51])*q^4 #32.3 : x[52] : [6, 4, 2],[1, -1] : [[1, 1], [4]] Qxi[C6,32,3] = (x[52])*q^4 + (x[61])*q^3 # Green Polys by conj class in A(O) #32.1 : c = () |O_x_c^F| = 1/4*q^22*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,32,1] = (x[50]+x[51]+x[52])*q^4 + (x[53]+x[58]+x[61])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #32.2 : c = (1) |O_x_c^F| = 1/4*q^22*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,32,2] = (x[50]-x[51]+x[52])*q^4 + (x[53]+x[58]+x[61])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #32.3 : c = (2) |O_x_c^F| = 1/4*q^22*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,32,3] = (x[50]+x[51]-x[52])*q^4 + (x[53]+x[58]-x[61])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #32.4 : c = (12) |O_x_c^F| = 1/4*q^22*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,32,4] = (x[50]-x[51]-x[52])*q^4 + (x[53]+x[58]-x[61])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #33 : [6, 6] dim = 66 A(O) = Z2 , |A(O)_0| = 2 g_s = 3*V[10]+V[8]+3*V[6]+V[4]+3*V[2]+V[0] Z_G(x)_0 = O2 # Green Polys by orbit reps #33.1 : x[53] : [6, 6],[1] : [[3], [3]] Qxi[C6,33,1] = (x[53])*q^3 + (x[60])*q^2 + (x[63])*q + x[65] #33.2 : x[54] : [6, 6],[-1] : [[2], [4]] Qxi[C6,33,2] = (x[54])*q^3 + (x[61])*q^2 + (x[64])*q # Green Polys by conj class in A(O) #33.1 : c = () |O_x_c^F| = 1/2*q^25*(q+1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,33,1] = (x[53]+x[54])*q^3 + (x[60]+x[61])*q^2 + (x[63]+x[64])*q + x[65] #33.2 : c = (1) |O_x_c^F| = 1/2*q^25*(q-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,33,2] = (x[53]-x[54])*q^3 + (x[60]-x[61])*q^2 + (x[63]-x[64])*q + x[65] orbit #34 : [8, 1, 1, 1, 1] dim = 60 A(O) = 1 , |A(O)_0| = 1 g_s = V[14]+V[10]+4*V[7]+V[6]+V[2]+10*V[0] Z_G(x)_0 = O1+Sp4 # Green Polys by orbit reps #34.1 : x[55] : [8, 1, 1, 1, 1],[] : [[4, 1, 1], []] Qxi[C6,34,1] = (x[55])*q^6 + (x[58])*q^5 + (x[56]+x[59]+x[62])*q^4 + (x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] # Green Polys by conj class in A(O) #34.1 : c = () |O_x_c^F| = q^24*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,34,1] = (x[55])*q^6 + (x[58])*q^5 + (x[56]+x[59]+x[62])*q^4 + (x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #35 : [8, 2, 1, 1] dim = 64 A(O) = Z2 , |A(O)_0| = 2 g_s = V[14]+V[10]+V[8]+2*V[7]+2*V[6]+2*V[2]+2*V[1]+3*V[0] Z_G(x)_0 = Sp2+2*O1 # Green Polys by orbit reps #35.1 : x[56] : [8, 2, 1, 1],[1] : [[4], [1, 1]] Qxi[C6,35,1] = (x[56])*q^4 + (x[58]+x[63])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #35.2 : x[57] : [8, 2, 1, 1],[-1] : [[], [5, 1]] Qxi[C6,35,2] = (x[57])*q^4 + (x[61])*q^3 + (x[64])*q^2 # Green Polys by conj class in A(O) #35.1 : c = () |O_x_c^F| = 1/2*q^24*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,35,1] = (x[56]+x[57])*q^4 + (x[58]+x[61]+x[63])*q^3 + (x[60]+x[62]+x[64])*q^2 + (x[63])*q + x[65] #35.2 : c = (1) |O_x_c^F| = 1/2*q^24*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,35,2] = (x[56]-x[57])*q^4 + (x[58]-x[61]+x[63])*q^3 + (x[60]+x[62]-x[64])*q^2 + (x[63])*q + x[65] orbit #36 : [8, 2, 2] dim = 66 A(O) = Z2 , |A(O)_0| = 2 g_s = V[14]+V[10]+2*V[8]+3*V[6]+4*V[2]+V[0] Z_G(x)_0 = O2+O1 # Green Polys by orbit reps #36.1 : x[58] : [8, 2, 2],[1] : [[4, 1], [1]] Qxi[C6,36,1] = (x[58])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #36.2 : x[59] : [8, 2, 2],[-1] : [[4, 2], []] Qxi[C6,36,2] = (x[59])*q^3 # Green Polys by conj class in A(O) #36.1 : c = () |O_x_c^F| = 1/2*q^25*(q+1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,36,1] = (x[58]+x[59])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] #36.2 : c = (1) |O_x_c^F| = 1/2*q^25*(q-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,36,2] = (x[58]-x[59])*q^3 + (x[60]+x[62])*q^2 + (x[63])*q + x[65] orbit #37 : [8, 4] dim = 68 A(O) = Z2 , |A(O)_0| = 2 g_s = V[14]+2*V[10]+V[8]+3*V[6]+V[4]+2*V[2] Z_G(x)_0 = 2*O1 # Green Polys by orbit reps #37.1 : x[60] : [8, 4],[1] : [[4], [2]] Qxi[C6,37,1] = (x[60])*q^2 + (x[63])*q + x[65] #37.2 : x[61] : [8, 4],[-1] : [[1], [5]] Qxi[C6,37,2] = (x[61])*q^2 + (x[64])*q # Green Polys by conj class in A(O) #37.1 : c = () |O_x_c^F| = 1/2*q^26*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,37,1] = (x[60]+x[61])*q^2 + (x[63]+x[64])*q + x[65] #37.2 : c = (1) |O_x_c^F| = 1/2*q^26*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,37,2] = (x[60]-x[61])*q^2 + (x[63]-x[64])*q + x[65] orbit #38 : [10, 1, 1] dim = 68 A(O) = 1 , |A(O)_0| = 1 g_s = V[18]+V[14]+V[10]+2*V[9]+V[6]+V[2]+3*V[0] Z_G(x)_0 = O1+Sp2 # Green Polys by orbit reps #38.1 : x[62] : [10, 1, 1],[] : [[5, 1], []] Qxi[C6,38,1] = (x[62])*q^2 + (x[63])*q + x[65] # Green Polys by conj class in A(O) #38.1 : c = () |O_x_c^F| = q^28*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,38,1] = (x[62])*q^2 + (x[63])*q + x[65] orbit #39 : [10, 2] dim = 70 A(O) = Z2 , |A(O)_0| = 2 g_s = V[18]+V[14]+2*V[10]+V[8]+V[6]+2*V[2] Z_G(x)_0 = 2*O1 # Green Polys by orbit reps #39.1 : x[63] : [10, 2],[1] : [[5], [1]] Qxi[C6,39,1] = (x[63])*q + x[65] #39.2 : x[64] : [10, 2],[-1] : [[], [6]] Qxi[C6,39,2] = (x[64])*q # Green Polys by conj class in A(O) #39.1 : c = () |O_x_c^F| = 1/2*q^28*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,39,1] = (x[63]+x[64])*q + x[65] #39.2 : c = (1) |O_x_c^F| = 1/2*q^28*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,39,2] = (x[63]-x[64])*q + x[65] orbit #40 : [12] dim = 72 A(O) = 1 , |A(O)_0| = 1 g_s = V[22]+V[18]+V[14]+V[10]+V[6]+V[2] Z_G(x)_0 = O1 # Green Polys by orbit reps #40.1 : x[65] : [12],[] : [[6], []] Qxi[C6,40,1] = x[65] # Green Polys by conj class in A(O) #40.1 : c = () |O_x_c^F| = q^30*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1) Qxc[C6,40,1] = x[65]