#### Green Polynomials for C7 #### W-rep key: # x[1] = [[], [1, 1, 1, 1, 1, 1, 1]] , orbit = [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], []] , orbit = [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[3] = [[1], [1, 1, 1, 1, 1, 1]] , orbit = [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [1] # x[4] = [[], [2, 1, 1, 1, 1, 1]] , orbit = [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [-1] # x[5] = [[1, 1, 1, 1, 1, 1], [1]] , orbit = [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[6] = [[1, 1], [1, 1, 1, 1, 1]] , orbit = [2, 2, 2, 2, 1, 1, 1, 1, 1, 1] , A-rep = [1] # x[7] = [[], [2, 2, 1, 1, 1]] , orbit = [2, 2, 2, 2, 1, 1, 1, 1, 1, 1] , A-rep = [-1] # x[8] = [[1, 1, 1, 1, 1], [1, 1]] , orbit = [2, 2, 2, 2, 2, 1, 1, 1, 1] , A-rep = [] # x[9] = [[1, 1, 1], [1, 1, 1, 1]] , orbit = [2, 2, 2, 2, 2, 2, 1, 1] , A-rep = [1] # x[10] = [[], [2, 2, 2, 1]] , orbit = [2, 2, 2, 2, 2, 2, 1, 1] , A-rep = [-1] # x[11] = [[1, 1, 1, 1], [1, 1, 1]] , orbit = [2, 2, 2, 2, 2, 2, 2] , A-rep = [] # x[12] = [[1], [2, 1, 1, 1, 1]] , orbit = [3, 3, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[13] = [[1, 1, 1, 1, 1], [2]] , orbit = [3, 3, 2, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[14] = [[1, 1], [2, 1, 1, 1]] , orbit = [3, 3, 2, 2, 1, 1, 1, 1] , A-rep = [1] # x[15] = [[1], [2, 2, 1, 1]] , orbit = [3, 3, 2, 2, 1, 1, 1, 1] , A-rep = [-1] # x[16] = [[1, 1, 1, 1], [2, 1]] , orbit = [3, 3, 2, 2, 2, 1, 1] , A-rep = [] # x[17] = [[1, 1, 1], [2, 1, 1]] , orbit = [3, 3, 2, 2, 2, 2] , A-rep = [1] # x[18] = [[1], [2, 2, 2]] , orbit = [3, 3, 2, 2, 2, 2] , A-rep = [-1] # x[19] = [[1, 1], [2, 2, 1]] , orbit = [3, 3, 3, 3, 1, 1] , A-rep = [] # x[20] = [[1, 1, 1], [2, 2]] , orbit = [3, 3, 3, 3, 2] , A-rep = [] # x[21] = [[2, 1, 1, 1, 1, 1], []] , orbit = [4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[22] = [[2], [1, 1, 1, 1, 1]] , orbit = [4, 2, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [1] # x[23] = [[], [3, 1, 1, 1, 1]] , orbit = [4, 2, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [-1] # x[24] = [[2, 1, 1, 1, 1], [1]] , orbit = [4, 2, 2, 1, 1, 1, 1, 1, 1] , A-rep = [1] # x[25] = [[2, 2, 1, 1, 1], []] , orbit = [4, 2, 2, 1, 1, 1, 1, 1, 1] , A-rep = [-1] # x[26] = [[2, 1], [1, 1, 1, 1]] , orbit = [4, 2, 2, 2, 1, 1, 1, 1] , A-rep = [1] # x[27] = [[], [3, 2, 1, 1]] , orbit = [4, 2, 2, 2, 1, 1, 1, 1] , A-rep = [-1] # x[28] = [[2, 1, 1, 1], [1, 1]] , orbit = [4, 2, 2, 2, 2, 1, 1] , A-rep = [1] # x[29] = [[2, 2, 2, 1], []] , orbit = [4, 2, 2, 2, 2, 1, 1] , A-rep = [-1] # x[30] = [[2, 1, 1], [1, 1, 1]] , orbit = [4, 2, 2, 2, 2, 2] , A-rep = [1] # x[31] = [[], [3, 2, 2]] , orbit = [4, 2, 2, 2, 2, 2] , A-rep = [-1] # x[32] = [[2, 2, 1, 1], [1]] , orbit = [4, 3, 3, 1, 1, 1, 1] , A-rep = [] # x[33] = [[2, 2], [1, 1, 1]] , orbit = [4, 3, 3, 2, 1, 1] , A-rep = [1] # x[34] = [[], [3, 3, 1]] , orbit = [4, 3, 3, 2, 1, 1] , A-rep = [-1] # x[35] = [[2, 2, 1], [1, 1]] , orbit = [4, 3, 3, 2, 2] , A-rep = [1] # x[36] = [[2, 2, 2], [1]] , orbit = [4, 3, 3, 2, 2] , A-rep = [-1] # x[37] = [[2], [2, 1, 1, 1]] , orbit = [4, 4, 1, 1, 1, 1, 1, 1] , A-rep = [1] # x[38] = [[1], [3, 1, 1, 1]] , orbit = [4, 4, 1, 1, 1, 1, 1, 1] , A-rep = [-1] # x[39] = [[2, 1, 1, 1], [2]] , orbit = [4, 4, 2, 1, 1, 1, 1] , A-rep = [1] # x[40] = [[1, 1, 1, 1], [3]] , orbit = [4, 4, 2, 1, 1, 1, 1] , A-rep = [-1] # x[41] = [[2, 1], [2, 1, 1]] , orbit = [4, 4, 2, 2, 1, 1] , A-rep = [1, 1] # x[42] = [[1, 1], [3, 1, 1]] , orbit = [4, 4, 2, 2, 1, 1] , A-rep = [-1, 1] # x[43] = [[2], [2, 2, 1]] , orbit = [4, 4, 2, 2, 1, 1] , A-rep = [1, -1] # x[44] = [[1], [3, 2, 1]] , orbit = [4, 4, 2, 2, 1, 1] , A-rep = [-1, -1] # x[45] = [[2, 1, 1], [2, 1]] , orbit = [4, 4, 2, 2, 2] , A-rep = [1] # x[46] = [[1, 1, 1], [3, 1]] , orbit = [4, 4, 2, 2, 2] , A-rep = [-1] # x[47] = [[2, 1], [2, 2]] , orbit = [4, 4, 3, 3] , A-rep = [1] # x[48] = [[1, 1], [3, 2]] , orbit = [4, 4, 3, 3] , A-rep = [-1] # x[49] = [[2, 2, 1], [2]] , orbit = [4, 4, 4, 1, 1] , A-rep = [] # x[50] = [[2, 2], [2, 1]] , orbit = [4, 4, 4, 2] , A-rep = [1] # x[51] = [[1], [3, 3]] , orbit = [4, 4, 4, 2] , A-rep = [-1] # x[52] = [[2], [3, 1, 1]] , orbit = [5, 5, 1, 1, 1, 1] , A-rep = [] # x[53] = [[2, 1, 1], [3]] , orbit = [5, 5, 2, 1, 1] , A-rep = [] # x[54] = [[2, 1], [3, 1]] , orbit = [5, 5, 2, 2] , A-rep = [1] # x[55] = [[2], [3, 2]] , orbit = [5, 5, 2, 2] , A-rep = [-1] # x[56] = [[2, 2], [3]] , orbit = [5, 5, 4] , A-rep = [] # x[57] = [[3, 1, 1, 1, 1], []] , orbit = [6, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[58] = [[3], [1, 1, 1, 1]] , orbit = [6, 2, 1, 1, 1, 1, 1, 1] , A-rep = [1] # x[59] = [[], [4, 1, 1, 1]] , orbit = [6, 2, 1, 1, 1, 1, 1, 1] , A-rep = [-1] # x[60] = [[3, 1, 1, 1], [1]] , orbit = [6, 2, 2, 1, 1, 1, 1] , A-rep = [1] # x[61] = [[3, 2, 1, 1], []] , orbit = [6, 2, 2, 1, 1, 1, 1] , A-rep = [-1] # x[62] = [[3, 1], [1, 1, 1]] , orbit = [6, 2, 2, 2, 1, 1] , A-rep = [1] # x[63] = [[], [4, 2, 1]] , orbit = [6, 2, 2, 2, 1, 1] , A-rep = [-1] # x[64] = [[3, 1, 1], [1, 1]] , orbit = [6, 2, 2, 2, 2] , A-rep = [1] # x[65] = [[3, 2, 2], []] , orbit = [6, 2, 2, 2, 2] , A-rep = [-1] # x[66] = [[3, 2, 1], [1]] , orbit = [6, 3, 3, 1, 1] , A-rep = [] # x[67] = [[3, 2], [1, 1]] , orbit = [6, 3, 3, 2] , A-rep = [1] # x[68] = [[], [4, 3]] , orbit = [6, 3, 3, 2] , A-rep = [-1] # x[69] = [[3], [2, 1, 1]] , orbit = [6, 4, 1, 1, 1, 1] , A-rep = [1] # x[70] = [[1], [4, 1, 1]] , orbit = [6, 4, 1, 1, 1, 1] , A-rep = [-1] # x[71] = [[3, 1, 1], [2]] , orbit = [6, 4, 2, 1, 1] , A-rep = [1, 1] # x[72] = [[3, 3, 1], []] , orbit = [6, 4, 2, 1, 1] , A-rep = [-1, 1] # x[73] = [[1, 1, 1], [4]] , orbit = [6, 4, 2, 1, 1] , A-rep = [1, -1] # x[74] = [[3, 1], [2, 1]] , orbit = [6, 4, 2, 2] , A-rep = [1, 1] # x[75] = [[3], [2, 2]] , orbit = [6, 4, 2, 2] , A-rep = [-1, 1] # x[76] = [[1, 1], [4, 1]] , orbit = [6, 4, 2, 2] , A-rep = [1, -1] # x[77] = [[1], [4, 2]] , orbit = [6, 4, 2, 2] , A-rep = [-1, -1] # x[78] = [[3, 2], [2]] , orbit = [6, 4, 4] , A-rep = [1] # x[79] = [[3, 3], [1]] , orbit = [6, 4, 4] , A-rep = [-1] # x[80] = [[3], [3, 1]] , orbit = [6, 6, 1, 1] , A-rep = [1] # x[81] = [[2], [4, 1]] , orbit = [6, 6, 1, 1] , A-rep = [-1] # x[82] = [[3, 1], [3]] , orbit = [6, 6, 2] , A-rep = [1] # x[83] = [[2, 1], [4]] , orbit = [6, 6, 2] , A-rep = [-1] # x[84] = [[3], [4]] , orbit = [7, 7] , A-rep = [] # x[85] = [[4, 1, 1, 1], []] , orbit = [8, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[86] = [[4], [1, 1, 1]] , orbit = [8, 2, 1, 1, 1, 1] , A-rep = [1] # x[87] = [[], [5, 1, 1]] , orbit = [8, 2, 1, 1, 1, 1] , A-rep = [-1] # x[88] = [[4, 1, 1], [1]] , orbit = [8, 2, 2, 1, 1] , A-rep = [1] # x[89] = [[4, 2, 1], []] , orbit = [8, 2, 2, 1, 1] , A-rep = [-1] # x[90] = [[4, 1], [1, 1]] , orbit = [8, 2, 2, 2] , A-rep = [1] # x[91] = [[], [5, 2]] , orbit = [8, 2, 2, 2] , A-rep = [-1] # x[92] = [[4, 2], [1]] , orbit = [8, 3, 3] , A-rep = [] # x[93] = [[4], [2, 1]] , orbit = [8, 4, 1, 1] , A-rep = [1] # x[94] = [[1], [5, 1]] , orbit = [8, 4, 1, 1] , A-rep = [-1] # x[95] = [[4, 1], [2]] , orbit = [8, 4, 2] , A-rep = [1, 1] # x[96] = [[4, 3], []] , orbit = [8, 4, 2] , A-rep = [-1, 1] # x[97] = [[1, 1], [5]] , orbit = [8, 4, 2] , A-rep = [1, -1] # x[98] = [[4], [3]] , orbit = [8, 6] , A-rep = [1] # x[99] = [[2], [5]] , orbit = [8, 6] , A-rep = [-1] # x[100] = [[5, 1, 1], []] , orbit = [10, 1, 1, 1, 1] , A-rep = [] # x[101] = [[5], [1, 1]] , orbit = [10, 2, 1, 1] , A-rep = [1] # x[102] = [[], [6, 1]] , orbit = [10, 2, 1, 1] , A-rep = [-1] # x[103] = [[5, 1], [1]] , orbit = [10, 2, 2] , A-rep = [1] # x[104] = [[5, 2], []] , orbit = [10, 2, 2] , A-rep = [-1] # x[105] = [[5], [2]] , orbit = [10, 4] , A-rep = [1] # x[106] = [[1], [6]] , orbit = [10, 4] , A-rep = [-1] # x[107] = [[6, 1], []] , orbit = [12, 1, 1] , A-rep = [] # x[108] = [[6], [1]] , orbit = [12, 2] , A-rep = [1] # x[109] = [[], [7]] , orbit = [12, 2] , A-rep = [-1] # x[110] = [[7], []] , orbit = [14] , A-rep = [] ### Green Polynomials by Orbit orbit #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 = 105*V[0] Z_G(x)_0 = C7 # Green Polys by orbit reps #1.1 : x[1] : [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[7], []] Qxi[C7,1,1] = (x[1])*q^49 + (x[3])*q^48 + (x[4]+x[6])*q^47 + (x[3]+x[9]+x[12])*q^46 + (x[4]+x[6]+x[7]+x[11]+x[14]+x[22])*q^45 + (x[3]+x[8]+x[9]+2*x[12]+x[15]+x[17]+x[26])*q^44 + (x[4]+x[5]+2*x[6]+x[7]+x[10]+x[11]+2*x[14]+x[16]+x[19]+x[22]+x[23]+x[30]+x[37])*q^43 + (x[2]+x[3]+x[8]+2*x[9]+3*x[12]+x[13]+2*x[15]+2*x[17]+x[18]+x[20]+2*x[26]+x[28]+x[38]+x[41])*q^42 + (x[4]+x[5]+2*x[6]+2*x[7]+x[10]+2*x[11]+4*x[14]+2*x[16]+2*x[19]+2*x[22]+x[23]+x[24]+x[27]+2*x[30]+x[33]+2*x[37]+x[42]+x[43]+x[45])*q^41 + (x[3]+2*x[8]+3*x[9]+4*x[12]+x[13]+4*x[15]+4*x[17]+x[18]+x[20]+x[21]+3*x[26]+2*x[28]+x[35]+2*x[38]+x[39]+3*x[41]+x[44]+x[46]+x[47]+x[58])*q^40 + (x[4]+x[5]+3*x[6]+2*x[7]+x[10]+3*x[11]+6*x[14]+3*x[16]+4*x[19]+2*x[22]+2*x[23]+2*x[24]+2*x[27]+4*x[30]+x[31]+x[32]+x[33]+4*x[37]+x[40]+2*x[42]+2*x[43]+3*x[45]+x[48]+x[50]+x[52]+x[62])*q^39 + (x[3]+2*x[8]+4*x[9]+5*x[12]+2*x[13]+5*x[15]+6*x[17]+2*x[18]+3*x[20]+x[21]+x[25]+5*x[26]+4*x[28]+2*x[35]+4*x[38]+2*x[39]+6*x[41]+3*x[44]+2*x[46]+2*x[47]+x[49]+x[54]+x[58]+x[64]+x[69])*q^38 + (x[4]+x[5]+3*x[6]+2*x[7]+2*x[10]+4*x[11]+8*x[14]+5*x[16]+6*x[19]+3*x[22]+2*x[23]+3*x[24]+3*x[27]+6*x[30]+x[31]+2*x[32]+3*x[33]+x[34]+x[36]+6*x[37]+x[40]+5*x[42]+4*x[43]+6*x[45]+2*x[48]+2*x[50]+2*x[52]+x[53]+x[55]+x[59]+x[60]+2*x[62]+x[74])*q^37 + (x[3]+3*x[8]+4*x[9]+5*x[12]+2*x[13]+7*x[15]+9*x[17]+3*x[18]+4*x[20]+x[21]+x[25]+7*x[26]+6*x[28]+x[29]+4*x[35]+6*x[38]+4*x[39]+10*x[41]+5*x[44]+4*x[46]+4*x[47]+2*x[49]+x[51]+3*x[54]+x[57]+2*x[58]+2*x[64]+x[67]+2*x[69]+x[70]+x[71]+x[75])*q^36 + (x[5]+3*x[6]+2*x[7]+2*x[10]+4*x[11]+10*x[14]+7*x[16]+9*x[19]+3*x[22]+3*x[23]+4*x[24]+4*x[27]+9*x[30]+2*x[31]+4*x[32]+4*x[33]+x[34]+x[36]+8*x[37]+2*x[40]+7*x[42]+6*x[43]+10*x[45]+4*x[48]+4*x[50]+5*x[52]+2*x[53]+2*x[55]+x[56]+x[59]+2*x[60]+4*x[62]+x[63]+x[66]+3*x[74]+x[76])*q^35 + (3*x[8]+5*x[9]+5*x[12]+3*x[13]+8*x[15]+11*x[17]+4*x[18]+6*x[20]+x[21]+2*x[25]+8*x[26]+8*x[28]+x[29]+6*x[35]+8*x[38]+6*x[39]+15*x[41]+8*x[44]+6*x[46]+7*x[47]+4*x[49]+x[51]+6*x[54]+x[57]+3*x[58]+x[61]+5*x[64]+2*x[67]+4*x[69]+2*x[70]+2*x[71]+x[73]+x[75]+x[77]+x[78]+x[80])*q^34 + (x[5]+2*x[6]+2*x[7]+2*x[10]+5*x[11]+11*x[14]+8*x[16]+11*x[19]+3*x[22]+2*x[23]+5*x[24]+5*x[27]+11*x[30]+2*x[31]+5*x[32]+6*x[33]+2*x[34]+2*x[36]+10*x[37]+3*x[40]+11*x[42]+9*x[43]+15*x[45]+6*x[48]+7*x[50]+7*x[52]+4*x[53]+4*x[55]+x[56]+2*x[59]+4*x[60]+6*x[62]+2*x[63]+3*x[66]+6*x[74]+2*x[76]+x[81]+x[82]+x[86])*q^33 + (3*x[8]+4*x[9]+4*x[12]+3*x[13]+9*x[15]+13*x[17]+4*x[18]+7*x[20]+x[21]+2*x[25]+9*x[26]+10*x[28]+x[29]+9*x[35]+9*x[38]+8*x[39]+20*x[41]+11*x[44]+9*x[46]+10*x[47]+6*x[49]+2*x[51]+10*x[54]+2*x[57]+4*x[58]+2*x[61]+7*x[64]+x[65]+4*x[67]+6*x[69]+4*x[70]+5*x[71]+x[73]+3*x[75]+2*x[77]+2*x[78]+2*x[80]+x[83]+x[90])*q^32 + (x[5]+2*x[6]+x[7]+2*x[10]+4*x[11]+11*x[14]+9*x[16]+13*x[19]+2*x[22]+2*x[23]+5*x[24]+5*x[27]+13*x[30]+3*x[31]+7*x[32]+7*x[33]+2*x[34]+3*x[36]+11*x[37]+4*x[40]+13*x[42]+11*x[43]+20*x[45]+9*x[48]+10*x[50]+11*x[52]+6*x[53]+6*x[55]+3*x[56]+3*x[59]+6*x[60]+9*x[62]+3*x[63]+5*x[66]+x[68]+10*x[74]+4*x[76]+x[79]+2*x[81]+2*x[82]+x[86]+x[88]+x[93])*q^31 + (2*x[8]+4*x[9]+3*x[12]+3*x[13]+8*x[15]+13*x[17]+5*x[18]+9*x[20]+x[21]+2*x[25]+9*x[26]+11*x[28]+2*x[29]+11*x[35]+10*x[38]+10*x[39]+24*x[41]+13*x[44]+11*x[46]+13*x[47]+9*x[49]+3*x[51]+15*x[54]+2*x[57]+4*x[58]+3*x[61]+11*x[64]+x[65]+6*x[67]+9*x[69]+6*x[70]+7*x[71]+x[72]+2*x[73]+4*x[75]+4*x[77]+4*x[78]+4*x[80]+2*x[83]+x[85]+2*x[90]+x[95])*q^30 + (x[6]+x[7]+x[10]+4*x[11]+10*x[14]+9*x[16]+13*x[19]+2*x[22]+x[23]+5*x[24]+5*x[27]+13*x[30]+3*x[31]+8*x[32]+9*x[33]+3*x[34]+4*x[36]+11*x[37]+4*x[40]+16*x[42]+13*x[43]+24*x[45]+11*x[48]+13*x[50]+13*x[52]+9*x[53]+9*x[55]+4*x[56]+3*x[59]+8*x[60]+11*x[62]+4*x[63]+8*x[66]+x[68]+15*x[74]+6*x[76]+x[79]+4*x[81]+4*x[82]+2*x[86]+x[87]+2*x[88]+x[92]+2*x[93])*q^29 + (2*x[8]+3*x[9]+2*x[12]+2*x[13]+7*x[15]+13*x[17]+4*x[18]+8*x[20]+2*x[25]+8*x[26]+11*x[28]+2*x[29]+13*x[35]+9*x[38]+11*x[39]+26*x[41]+15*x[44]+13*x[46]+16*x[47]+11*x[49]+4*x[51]+20*x[54]+3*x[57]+5*x[58]+4*x[61]+13*x[64]+2*x[65]+9*x[67]+11*x[69]+8*x[70]+11*x[71]+x[72]+3*x[73]+6*x[75]+5*x[77]+6*x[78]+6*x[80]+3*x[83]+x[84]+x[85]+x[89]+4*x[90]+x[94]+2*x[95])*q^28 + (x[6]+x[10]+3*x[11]+8*x[14]+8*x[16]+13*x[19]+x[22]+x[23]+4*x[24]+4*x[27]+13*x[30]+3*x[31]+9*x[32]+8*x[33]+3*x[34]+4*x[36]+10*x[37]+5*x[40]+16*x[42]+13*x[43]+26*x[45]+13*x[48]+16*x[50]+16*x[52]+11*x[53]+11*x[55]+6*x[56]+3*x[59]+9*x[60]+13*x[62]+5*x[63]+11*x[66]+x[68]+20*x[74]+8*x[76]+2*x[79]+6*x[81]+6*x[82]+3*x[86]+x[87]+4*x[88]+x[91]+2*x[92]+3*x[93]+x[97]+x[98])*q^27 + (x[8]+2*x[9]+x[12]+2*x[13]+5*x[15]+11*x[17]+4*x[18]+9*x[20]+2*x[25]+7*x[26]+10*x[28]+2*x[29]+13*x[35]+8*x[38]+11*x[39]+26*x[41]+15*x[44]+13*x[46]+17*x[47]+13*x[49]+4*x[51]+24*x[54]+2*x[57]+4*x[58]+5*x[61]+16*x[64]+2*x[65]+11*x[67]+13*x[69]+9*x[70]+13*x[71]+2*x[72]+4*x[73]+7*x[75]+7*x[77]+9*x[78]+9*x[80]+5*x[83]+x[84]+2*x[85]+2*x[89]+6*x[90]+2*x[94]+4*x[95])*q^26 + 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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, 1, 1, 1], []] Qxi[C7,2,1] = (x[2])*q^42 + (x[5])*q^41 + (x[8]+x[21])*q^40 + (x[5]+x[11]+x[24])*q^39 + (x[8]+x[9]+x[13]+x[21]+x[25]+x[28])*q^38 + (x[5]+x[6]+x[11]+x[16]+2*x[24]+x[30]+x[32])*q^37 + (x[3]+2*x[8]+x[9]+x[13]+x[17]+x[21]+x[25]+x[26]+2*x[28]+x[29]+x[35]+x[39]+x[57])*q^36 + (x[5]+x[6]+2*x[11]+x[14]+2*x[16]+x[22]+3*x[24]+2*x[30]+2*x[32]+x[33]+x[36]+x[45]+x[60])*q^35 + (2*x[8]+2*x[9]+x[12]+2*x[13]+2*x[17]+x[20]+x[21]+2*x[25]+2*x[26]+4*x[28]+x[29]+2*x[35]+2*x[39]+x[41]+x[49]+x[57]+x[61]+x[64])*q^34 + (x[5]+x[6]+3*x[11]+2*x[14]+3*x[16]+x[19]+x[22]+4*x[24]+4*x[30]+4*x[32]+x[33]+x[36]+x[37]+x[40]+3*x[45]+x[50]+2*x[60]+x[62]+x[66])*q^33 + (3*x[8]+2*x[9]+x[12]+2*x[13]+x[15]+4*x[17]+x[20]+x[21]+2*x[25]+3*x[26]+6*x[28]+x[29]+4*x[35]+4*x[39]+3*x[41]+x[46]+x[47]+2*x[49]+2*x[57]+x[58]+2*x[61]+2*x[64]+x[65]+x[67]+x[71])*q^32 + 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(x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+6*x[74]+2*x[76]+2*x[79]+3*x[81]+6*x[82]+x[86]+4*x[88]+5*x[92]+5*x[93]+x[97]+3*x[98]+x[99]+5*x[103]+x[108])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+4*x[80]+3*x[83]+2*x[84]+2*x[89]+4*x[90]+x[94]+6*x[95]+x[96]+2*x[100]+2*x[101]+2*x[104]+3*x[105]+x[107])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+x[97]+3*x[98]+x[99]+4*x[103]+x[108])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #2.1 : c = () |O_x_c^F| = q^14-1 Qxc[C7,2,1] = (x[2])*q^42 + (x[5])*q^41 + (x[8]+x[21])*q^40 + (x[5]+x[11]+x[24])*q^39 + (x[8]+x[9]+x[13]+x[21]+x[25]+x[28])*q^38 + (x[5]+x[6]+x[11]+x[16]+2*x[24]+x[30]+x[32])*q^37 + (x[3]+2*x[8]+x[9]+x[13]+x[17]+x[21]+x[25]+x[26]+2*x[28]+x[29]+x[35]+x[39]+x[57])*q^36 + (x[5]+x[6]+2*x[11]+x[14]+2*x[16]+x[22]+3*x[24]+2*x[30]+2*x[32]+x[33]+x[36]+x[45]+x[60])*q^35 + (2*x[8]+2*x[9]+x[12]+2*x[13]+2*x[17]+x[20]+x[21]+2*x[25]+2*x[26]+4*x[28]+x[29]+2*x[35]+2*x[39]+x[41]+x[49]+x[57]+x[61]+x[64])*q^34 + (x[5]+x[6]+3*x[11]+2*x[14]+3*x[16]+x[19]+x[22]+4*x[24]+4*x[30]+4*x[32]+x[33]+x[36]+x[37]+x[40]+3*x[45]+x[50]+2*x[60]+x[62]+x[66])*q^33 + (3*x[8]+2*x[9]+x[12]+2*x[13]+x[15]+4*x[17]+x[20]+x[21]+2*x[25]+3*x[26]+6*x[28]+x[29]+4*x[35]+4*x[39]+3*x[41]+x[46]+x[47]+2*x[49]+2*x[57]+x[58]+2*x[61]+2*x[64]+x[65]+x[67]+x[71])*q^32 + (x[5]+x[6]+3*x[11]+3*x[14]+5*x[16]+2*x[19]+x[22]+5*x[24]+6*x[30]+5*x[32]+3*x[33]+2*x[36]+2*x[37]+x[40]+x[42]+x[43]+6*x[45]+2*x[50]+x[53]+4*x[60]+2*x[62]+3*x[66]+x[74])*q^31 + (2*x[8]+3*x[9]+x[12]+3*x[13]+x[15]+5*x[17]+x[18]+3*x[20]+x[21]+2*x[25]+4*x[26]+8*x[28]+2*x[29]+6*x[35]+x[38]+6*x[39]+6*x[41]+2*x[46]+2*x[47]+4*x[49]+x[54]+2*x[57]+x[58]+3*x[61]+5*x[64]+x[65]+2*x[67]+x[69]+2*x[71]+x[72]+x[78]+x[85])*q^30 + (x[6]+3*x[11]+4*x[14]+6*x[16]+3*x[19]+x[22]+5*x[24]+8*x[30]+7*x[32]+4*x[33]+3*x[36]+3*x[37]+2*x[40]+2*x[42]+2*x[43]+10*x[45]+x[48]+4*x[50]+x[52]+2*x[53]+x[56]+6*x[60]+4*x[62]+5*x[66]+3*x[74]+x[79]+x[88])*q^29 + (2*x[8]+2*x[9]+x[12]+2*x[13]+2*x[15]+7*x[17]+3*x[20]+2*x[25]+5*x[26]+9*x[28]+2*x[29]+9*x[35]+x[38]+8*x[39]+9*x[41]+x[44]+4*x[46]+4*x[47]+6*x[49]+3*x[54]+3*x[57]+2*x[58]+4*x[61]+7*x[64]+2*x[65]+4*x[67]+2*x[69]+5*x[71]+x[72]+x[75]+2*x[78]+x[85]+x[89]+x[90])*q^28 + 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(2*x[17]+x[18]+3*x[20]+x[26]+2*x[28]+x[29]+6*x[35]+x[38]+4*x[39]+9*x[41]+2*x[44]+5*x[46]+8*x[47]+9*x[49]+x[51]+14*x[54]+x[58]+3*x[61]+11*x[64]+2*x[65]+10*x[67]+7*x[69]+2*x[70]+12*x[71]+3*x[72]+3*x[73]+4*x[75]+2*x[77]+11*x[78]+7*x[80]+4*x[83]+x[84]+3*x[85]+5*x[89]+9*x[90]+8*x[95]+2*x[96]+2*x[100]+x[101]+x[104]+x[105])*q^18 + (x[16]+2*x[19]+2*x[30]+2*x[32]+3*x[33]+2*x[36]+x[37]+x[40]+4*x[42]+3*x[43]+10*x[45]+4*x[48]+9*x[50]+5*x[52]+8*x[53]+5*x[55]+6*x[56]+4*x[60]+6*x[62]+11*x[66]+17*x[74]+4*x[76]+4*x[79]+4*x[81]+9*x[82]+3*x[86]+9*x[88]+8*x[92]+6*x[93]+x[97]+2*x[98]+3*x[103])*q^17 + (x[17]+x[20]+x[28]+4*x[35]+2*x[39]+6*x[41]+2*x[44]+4*x[46]+6*x[47]+6*x[49]+x[51]+12*x[54]+x[58]+2*x[61]+7*x[64]+2*x[65]+9*x[67]+5*x[69]+2*x[70]+11*x[71]+2*x[72]+2*x[73]+5*x[75]+x[77]+10*x[78]+7*x[80]+5*x[83]+2*x[84]+2*x[85]+5*x[89]+9*x[90]+x[94]+9*x[95]+2*x[96]+2*x[100]+2*x[101]+2*x[104]+x[105])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[36]+x[40]+2*x[42]+2*x[43]+6*x[45]+3*x[48]+7*x[50]+4*x[52]+6*x[53]+4*x[55]+5*x[56]+2*x[60]+4*x[62]+8*x[66]+14*x[74]+4*x[76]+4*x[79]+4*x[81]+9*x[82]+3*x[86]+8*x[88]+8*x[92]+6*x[93]+x[97]+3*x[98]+x[99]+4*x[103])*q^15 + (x[20]+2*x[35]+x[39]+3*x[41]+x[44]+2*x[46]+4*x[47]+4*x[49]+9*x[54]+x[61]+5*x[64]+x[65]+6*x[67]+4*x[69]+x[70]+7*x[71]+2*x[72]+2*x[73]+3*x[75]+2*x[77]+9*x[78]+7*x[80]+5*x[83]+2*x[84]+x[85]+4*x[89]+8*x[90]+x[94]+9*x[95]+2*x[96]+3*x[100]+2*x[101]+2*x[104]+2*x[105])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+2*x[48]+4*x[50]+2*x[52]+4*x[53]+3*x[55]+4*x[56]+x[60]+2*x[62]+5*x[66]+10*x[74]+3*x[76]+3*x[79]+4*x[81]+8*x[82]+2*x[86]+6*x[88]+7*x[92]+6*x[93]+x[97]+3*x[98]+x[99]+5*x[103])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+x[51]+6*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+x[70]+5*x[71]+x[72]+x[73]+3*x[75]+x[77]+6*x[78]+5*x[80]+4*x[83]+3*x[84]+x[85]+3*x[89]+6*x[90]+x[94]+8*x[95]+2*x[96]+2*x[100]+3*x[101]+2*x[104]+2*x[105]+x[107])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+6*x[74]+2*x[76]+2*x[79]+3*x[81]+6*x[82]+x[86]+4*x[88]+5*x[92]+5*x[93]+x[97]+3*x[98]+x[99]+5*x[103]+x[108])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+4*x[80]+3*x[83]+2*x[84]+2*x[89]+4*x[90]+x[94]+6*x[95]+x[96]+2*x[100]+2*x[101]+2*x[104]+3*x[105]+x[107])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+x[97]+3*x[98]+x[99]+4*x[103]+x[108])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #3 : [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] dim = 26 A(O) = Z2 , |A(O)_0| = 2 g_s = 20*V[1]+3*V[2]+56*V[0] Z_G(x)_0 = Sp10+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, 1, 1, 1]] Qxi[C7,3,1] = (x[3])*q^36 + (x[6]+x[22])*q^35 + (x[9]+x[12]+x[26])*q^34 + (x[6]+x[11]+x[14]+x[22]+x[30]+x[37])*q^33 + (x[8]+x[9]+x[12]+x[15]+x[17]+2*x[26]+x[28]+x[41]+x[58])*q^32 + (x[5]+x[6]+x[11]+2*x[14]+x[16]+x[19]+x[22]+x[24]+2*x[30]+x[33]+2*x[37]+x[43]+x[45]+x[62])*q^31 + (x[8]+2*x[9]+x[12]+x[13]+x[15]+2*x[17]+x[18]+x[20]+x[21]+3*x[26]+2*x[28]+x[35]+x[38]+x[39]+3*x[41]+x[47]+x[58]+x[64]+x[69])*q^30 + (x[6]+2*x[11]+3*x[14]+2*x[16]+2*x[19]+x[22]+2*x[24]+4*x[30]+x[32]+2*x[33]+3*x[37]+x[42]+2*x[43]+3*x[45]+x[50]+x[52]+x[60]+2*x[62]+x[74])*q^29 + (x[8]+2*x[9]+x[12]+x[13]+2*x[15]+4*x[17]+x[20]+x[25]+4*x[26]+4*x[28]+3*x[35]+x[38]+2*x[39]+6*x[41]+x[44]+x[46]+2*x[47]+x[49]+x[54]+x[57]+2*x[58]+2*x[64]+x[67]+2*x[69]+x[71]+x[75])*q^28 + (x[6]+2*x[11]+4*x[14]+3*x[16]+3*x[19]+x[22]+2*x[24]+6*x[30]+3*x[32]+3*x[33]+x[36]+4*x[37]+x[40]+2*x[42]+3*x[43]+6*x[45]+x[48]+3*x[50]+2*x[52]+x[53]+x[55]+2*x[60]+4*x[62]+x[66]+3*x[74]+x[86])*q^27 + (x[8]+2*x[9]+x[12]+x[13]+x[15]+5*x[17]+x[18]+3*x[20]+x[25]+5*x[26]+5*x[28]+x[29]+5*x[35]+2*x[38]+4*x[39]+9*x[41]+2*x[44]+2*x[46]+4*x[47]+3*x[49]+3*x[54]+x[57]+2*x[58]+x[61]+5*x[64]+2*x[67]+4*x[69]+2*x[71]+x[75]+x[78]+x[80]+x[90])*q^26 + (2*x[11]+4*x[14]+4*x[16]+4*x[19]+x[22]+2*x[24]+7*x[30]+4*x[32]+5*x[33]+2*x[36]+4*x[37]+x[40]+4*x[42]+4*x[43]+10*x[45]+2*x[48]+5*x[50]+4*x[52]+2*x[53]+2*x[55]+x[56]+4*x[60]+6*x[62]+3*x[66]+6*x[74]+x[82]+x[86]+x[88]+x[93])*q^25 + (x[8]+x[9]+x[13]+2*x[15]+6*x[17]+x[18]+3*x[20]+x[25]+4*x[26]+6*x[28]+x[29]+7*x[35]+2*x[38]+5*x[39]+12*x[41]+2*x[44]+4*x[46]+6*x[47]+5*x[49]+x[51]+6*x[54]+x[57]+3*x[58]+2*x[61]+7*x[64]+x[65]+5*x[67]+5*x[69]+x[70]+5*x[71]+3*x[75]+2*x[78]+2*x[80]+x[85]+2*x[90]+x[95])*q^24 + (x[11]+3*x[14]+4*x[16]+5*x[19]+2*x[24]+7*x[30]+5*x[32]+5*x[33]+2*x[36]+4*x[37]+2*x[40]+5*x[42]+5*x[43]+13*x[45]+3*x[48]+8*x[50]+5*x[52]+4*x[53]+3*x[55]+2*x[56]+5*x[60]+8*x[62]+6*x[66]+10*x[74]+x[76]+x[79]+x[81]+2*x[82]+2*x[86]+2*x[88]+x[92]+2*x[93])*q^23 + (x[9]+x[13]+x[15]+5*x[17]+x[18]+4*x[20]+x[25]+3*x[26]+5*x[28]+x[29]+8*x[35]+2*x[38]+6*x[39]+13*x[41]+3*x[44]+5*x[46]+8*x[47]+7*x[49]+9*x[54]+x[57]+2*x[58]+3*x[61]+10*x[64]+x[65]+7*x[67]+7*x[69]+x[70]+7*x[71]+x[72]+x[73]+3*x[75]+x[77]+5*x[78]+4*x[80]+x[83]+x[85]+x[89]+4*x[90]+2*x[95])*q^22 + (x[11]+2*x[14]+3*x[16]+4*x[19]+x[24]+6*x[30]+4*x[32]+5*x[33]+3*x[36]+3*x[37]+2*x[40]+6*x[42]+5*x[43]+14*x[45]+4*x[48]+10*x[50]+6*x[52]+6*x[53]+4*x[55]+3*x[56]+6*x[60]+8*x[62]+9*x[66]+14*x[74]+2*x[76]+2*x[79]+2*x[81]+4*x[82]+3*x[86]+4*x[88]+2*x[92]+3*x[93]+x[98])*q^21 + (x[15]+4*x[17]+3*x[20]+2*x[26]+4*x[28]+x[29]+8*x[35]+x[38]+5*x[39]+12*x[41]+3*x[44]+6*x[46]+8*x[47]+8*x[49]+x[51]+12*x[54]+x[57]+2*x[58]+3*x[61]+10*x[64]+2*x[65]+9*x[67]+7*x[69]+2*x[70]+10*x[71]+2*x[72]+x[73]+5*x[75]+x[77]+7*x[78]+5*x[80]+2*x[83]+x[84]+2*x[85]+2*x[89]+6*x[90]+4*x[95]+x[101])*q^20 + (x[14]+2*x[16]+3*x[19]+4*x[30]+4*x[32]+4*x[33]+3*x[36]+2*x[37]+2*x[40]+5*x[42]+4*x[43]+13*x[45]+5*x[48]+10*x[50]+6*x[52]+7*x[53]+5*x[55]+5*x[56]+5*x[60]+8*x[62]+10*x[66]+16*x[74]+3*x[76]+3*x[79]+3*x[81]+6*x[82]+3*x[86]+6*x[88]+4*x[92]+5*x[93]+x[98]+x[103])*q^19 + (2*x[17]+x[18]+3*x[20]+x[26]+2*x[28]+x[29]+6*x[35]+x[38]+4*x[39]+9*x[41]+2*x[44]+5*x[46]+8*x[47]+8*x[49]+x[51]+13*x[54]+x[58]+3*x[61]+10*x[64]+2*x[65]+9*x[67]+7*x[69]+2*x[70]+10*x[71]+2*x[72]+2*x[73]+4*x[75]+2*x[77]+9*x[78]+7*x[80]+3*x[83]+x[84]+2*x[85]+3*x[89]+8*x[90]+6*x[95]+x[96]+x[100]+x[101]+x[105])*q^18 + (x[16]+2*x[19]+2*x[30]+2*x[32]+3*x[33]+2*x[36]+x[37]+x[40]+4*x[42]+3*x[43]+10*x[45]+4*x[48]+9*x[50]+5*x[52]+7*x[53]+5*x[55]+5*x[56]+4*x[60]+6*x[62]+10*x[66]+16*x[74]+4*x[76]+3*x[79]+4*x[81]+8*x[82]+3*x[86]+7*x[88]+6*x[92]+6*x[93]+2*x[98]+2*x[103])*q^17 + (x[17]+x[20]+x[28]+4*x[35]+2*x[39]+6*x[41]+2*x[44]+4*x[46]+6*x[47]+6*x[49]+x[51]+12*x[54]+x[58]+2*x[61]+7*x[64]+2*x[65]+9*x[67]+5*x[69]+2*x[70]+10*x[71]+2*x[72]+2*x[73]+5*x[75]+x[77]+9*x[78]+7*x[80]+4*x[83]+2*x[84]+2*x[85]+4*x[89]+8*x[90]+x[94]+8*x[95]+x[96]+x[100]+2*x[101]+x[104]+x[105])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[36]+x[40]+2*x[42]+2*x[43]+6*x[45]+3*x[48]+7*x[50]+4*x[52]+6*x[53]+4*x[55]+5*x[56]+2*x[60]+4*x[62]+8*x[66]+14*x[74]+4*x[76]+4*x[79]+4*x[81]+8*x[82]+3*x[86]+7*x[88]+7*x[92]+6*x[93]+x[97]+3*x[98]+x[99]+3*x[103])*q^15 + (x[20]+2*x[35]+x[39]+3*x[41]+x[44]+2*x[46]+4*x[47]+4*x[49]+9*x[54]+x[61]+5*x[64]+x[65]+6*x[67]+4*x[69]+x[70]+7*x[71]+2*x[72]+2*x[73]+3*x[75]+2*x[77]+9*x[78]+7*x[80]+5*x[83]+2*x[84]+x[85]+4*x[89]+8*x[90]+x[94]+8*x[95]+2*x[96]+2*x[100]+2*x[101]+x[104]+2*x[105])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+2*x[48]+4*x[50]+2*x[52]+4*x[53]+3*x[55]+4*x[56]+x[60]+2*x[62]+5*x[66]+10*x[74]+3*x[76]+3*x[79]+4*x[81]+8*x[82]+2*x[86]+6*x[88]+7*x[92]+6*x[93]+x[97]+3*x[98]+x[99]+4*x[103])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+x[51]+6*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+x[70]+5*x[71]+x[72]+x[73]+3*x[75]+x[77]+6*x[78]+5*x[80]+4*x[83]+3*x[84]+x[85]+3*x[89]+6*x[90]+x[94]+8*x[95]+2*x[96]+2*x[100]+3*x[101]+2*x[104]+2*x[105])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+6*x[74]+2*x[76]+2*x[79]+3*x[81]+6*x[82]+x[86]+4*x[88]+5*x[92]+5*x[93]+x[97]+3*x[98]+x[99]+5*x[103]+x[108])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+4*x[80]+3*x[83]+2*x[84]+2*x[89]+4*x[90]+x[94]+6*x[95]+x[96]+2*x[100]+2*x[101]+2*x[104]+3*x[105]+x[107])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+x[97]+3*x[98]+x[99]+4*x[103]+x[108])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #3.2 : x[4] : [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],[-1] : [[], [2, 1, 1, 1, 1, 1]] Qxi[C7,3,2] = (x[4])*q^36 + (x[12])*q^35 + (x[7]+x[14]+x[23])*q^34 + (x[12]+x[15]+x[17]+x[38])*q^33 + (x[7]+x[10]+x[14]+x[16]+x[19]+x[23]+x[27]+x[37]+x[42])*q^32 + (x[12]+x[13]+2*x[15]+x[17]+x[18]+x[20]+2*x[38]+x[41]+x[44]+x[46])*q^31 + (x[7]+x[10]+2*x[14]+x[16]+2*x[19]+x[23]+2*x[27]+x[31]+x[37]+x[40]+2*x[42]+x[43]+x[45]+x[48]+x[52]+x[59])*q^30 + (x[12]+3*x[15]+2*x[17]+x[18]+x[20]+3*x[38]+x[39]+2*x[41]+3*x[44]+2*x[46]+x[47]+x[54]+x[70])*q^29 + (x[7]+x[10]+2*x[14]+x[16]+3*x[19]+x[23]+3*x[27]+x[31]+x[34]+2*x[37]+x[40]+4*x[42]+2*x[43]+2*x[45]+2*x[48]+x[50]+2*x[52]+x[53]+x[55]+x[59]+x[63]+x[76])*q^28 + (x[12]+3*x[15]+2*x[17]+2*x[18]+2*x[20]+4*x[38]+x[39]+3*x[41]+5*x[44]+3*x[46]+2*x[47]+x[49]+x[51]+3*x[54]+x[69]+2*x[70]+x[73]+x[77])*q^27 + (x[10]+2*x[14]+x[16]+4*x[19]+x[23]+3*x[27]+2*x[31]+2*x[34]+2*x[37]+x[40]+5*x[42]+3*x[43]+3*x[45]+4*x[48]+x[50]+4*x[52]+2*x[53]+2*x[55]+x[56]+2*x[59]+2*x[63]+x[74]+2*x[76]+x[81])*q^26 + (3*x[15]+2*x[17]+2*x[18]+2*x[20]+4*x[38]+x[39]+4*x[41]+7*x[44]+4*x[46]+3*x[47]+x[49]+2*x[51]+5*x[54]+x[69]+4*x[70]+x[71]+x[73]+x[75]+2*x[77]+x[80]+x[83])*q^25 + (x[10]+x[14]+x[16]+4*x[19]+3*x[27]+2*x[31]+2*x[34]+2*x[37]+x[40]+6*x[42]+4*x[43]+3*x[45]+5*x[48]+2*x[50]+5*x[52]+3*x[53]+4*x[55]+x[56]+2*x[59]+3*x[63]+x[68]+2*x[74]+4*x[76]+2*x[81]+x[82]+x[87])*q^24 + (2*x[15]+x[17]+2*x[18]+2*x[20]+3*x[38]+x[39]+4*x[41]+8*x[44]+4*x[46]+4*x[47]+x[49]+2*x[51]+7*x[54]+2*x[69]+5*x[70]+x[71]+2*x[73]+x[75]+4*x[77]+x[78]+2*x[80]+2*x[83]+x[94])*q^23 + (x[14]+3*x[19]+2*x[27]+2*x[31]+2*x[34]+x[37]+x[40]+5*x[42]+4*x[43]+3*x[45]+6*x[48]+2*x[50]+6*x[52]+3*x[53]+5*x[55]+2*x[56]+2*x[59]+4*x[63]+x[68]+3*x[74]+5*x[76]+4*x[81]+2*x[82]+x[87]+x[91]+x[97])*q^22 + (x[15]+x[17]+x[18]+x[20]+2*x[38]+3*x[41]+7*x[44]+3*x[46]+4*x[47]+x[49]+3*x[51]+8*x[54]+2*x[69]+6*x[70]+2*x[71]+2*x[73]+2*x[75]+5*x[77]+x[78]+3*x[80]+3*x[83]+x[84]+2*x[94])*q^21 + (2*x[19]+x[27]+x[31]+2*x[34]+x[37]+4*x[42]+3*x[43]+2*x[45]+5*x[48]+2*x[50]+5*x[52]+3*x[53]+6*x[55]+2*x[56]+x[59]+4*x[63]+2*x[68]+3*x[74]+6*x[76]+5*x[81]+3*x[82]+2*x[87]+x[91]+x[93]+x[97]+x[99])*q^20 + (x[18]+x[20]+x[38]+2*x[41]+5*x[44]+2*x[46]+3*x[47]+x[49]+3*x[51]+7*x[54]+2*x[69]+5*x[70]+x[71]+2*x[73]+2*x[75]+6*x[77]+x[78]+4*x[80]+4*x[83]+x[84]+3*x[94]+x[95])*q^19 + (x[19]+x[31]+x[34]+2*x[42]+2*x[43]+x[45]+4*x[48]+x[50]+4*x[52]+2*x[53]+5*x[55]+2*x[56]+x[59]+3*x[63]+2*x[68]+3*x[74]+5*x[76]+6*x[81]+3*x[82]+2*x[87]+2*x[91]+x[93]+2*x[97]+x[98]+x[99])*q^18 + (x[41]+3*x[44]+x[46]+2*x[47]+2*x[51]+5*x[54]+x[69]+4*x[70]+x[71]+x[73]+2*x[75]+5*x[77]+x[78]+4*x[80]+4*x[83]+2*x[84]+4*x[94]+x[95])*q^17 + (x[34]+x[42]+x[43]+2*x[48]+x[50]+2*x[52]+x[53]+4*x[55]+x[56]+2*x[63]+x[68]+2*x[74]+4*x[76]+5*x[81]+3*x[82]+2*x[87]+2*x[91]+x[93]+2*x[97]+x[98]+2*x[99]+x[102])*q^16 + (x[44]+x[47]+x[51]+3*x[54]+x[69]+2*x[70]+x[73]+x[75]+4*x[77]+x[78]+3*x[80]+3*x[83]+2*x[84]+4*x[94]+x[95]+x[106])*q^15 + (x[48]+x[52]+2*x[55]+x[56]+x[63]+x[68]+x[74]+2*x[76]+4*x[81]+2*x[82]+x[87]+2*x[91]+x[93]+2*x[97]+x[98]+2*x[99]+x[102])*q^14 + (x[51]+x[54]+x[70]+x[75]+2*x[77]+2*x[80]+2*x[83]+2*x[84]+3*x[94]+x[95]+x[106])*q^13 + (x[55]+x[68]+x[76]+2*x[81]+x[82]+x[87]+x[91]+x[93]+x[97]+x[98]+2*x[99]+x[102])*q^12 + (x[77]+x[80]+x[83]+x[84]+2*x[94]+x[105]+x[106])*q^11 + (x[81]+x[91]+x[97]+x[98]+x[99]+x[102])*q^10 + (x[84]+x[94]+x[106])*q^9 + (x[99]+x[102])*q^8 + (x[106])*q^7 + (x[109])*q^6 # Green Polys by conj class in A(O) #3.1 : c = () |O_x_c^F| = 1/2*q*(q^2+q+1)*(q^3+1)*(q^6+1)*(q^14-1) Qxc[C7,3,1] = (x[3]+x[4])*q^36 + (x[6]+x[12]+x[22])*q^35 + (x[7]+x[9]+x[12]+x[14]+x[23]+x[26])*q^34 + (x[6]+x[11]+x[12]+x[14]+x[15]+x[17]+x[22]+x[30]+x[37]+x[38])*q^33 + (x[7]+x[8]+x[9]+x[10]+x[12]+x[14]+x[15]+x[16]+x[17]+x[19]+x[23]+2*x[26]+x[27]+x[28]+x[37]+x[41]+x[42]+x[58])*q^32 + (x[5]+x[6]+x[11]+x[12]+x[13]+2*x[14]+2*x[15]+x[16]+x[17]+x[18]+x[19]+x[20]+x[22]+x[24]+2*x[30]+x[33]+2*x[37]+2*x[38]+x[41]+x[43]+x[44]+x[45]+x[46]+x[62])*q^31 + (x[7]+x[8]+2*x[9]+x[10]+x[12]+x[13]+2*x[14]+x[15]+x[16]+2*x[17]+x[18]+2*x[19]+x[20]+x[21]+x[23]+3*x[26]+2*x[27]+2*x[28]+x[31]+x[35]+x[37]+x[38]+x[39]+x[40]+3*x[41]+2*x[42]+x[43]+x[45]+x[47]+x[48]+x[52]+x[58]+x[59]+x[64]+x[69])*q^30 + (x[6]+2*x[11]+x[12]+3*x[14]+3*x[15]+2*x[16]+2*x[17]+x[18]+2*x[19]+x[20]+x[22]+2*x[24]+4*x[30]+x[32]+2*x[33]+3*x[37]+3*x[38]+x[39]+2*x[41]+x[42]+2*x[43]+3*x[44]+3*x[45]+2*x[46]+x[47]+x[50]+x[52]+x[54]+x[60]+2*x[62]+x[70]+x[74])*q^29 + (x[7]+x[8]+2*x[9]+x[10]+x[12]+x[13]+2*x[14]+2*x[15]+x[16]+4*x[17]+3*x[19]+x[20]+x[23]+x[25]+4*x[26]+3*x[27]+4*x[28]+x[31]+x[34]+3*x[35]+2*x[37]+x[38]+2*x[39]+x[40]+6*x[41]+4*x[42]+2*x[43]+x[44]+2*x[45]+x[46]+2*x[47]+2*x[48]+x[49]+x[50]+2*x[52]+x[53]+x[54]+x[55]+x[57]+2*x[58]+x[59]+x[63]+2*x[64]+x[67]+2*x[69]+x[71]+x[75]+x[76])*q^28 + (x[6]+2*x[11]+x[12]+4*x[14]+3*x[15]+3*x[16]+2*x[17]+2*x[18]+3*x[19]+2*x[20]+x[22]+2*x[24]+6*x[30]+3*x[32]+3*x[33]+x[36]+4*x[37]+4*x[38]+x[39]+x[40]+3*x[41]+2*x[42]+3*x[43]+5*x[44]+6*x[45]+3*x[46]+2*x[47]+x[48]+x[49]+3*x[50]+x[51]+2*x[52]+x[53]+3*x[54]+x[55]+2*x[60]+4*x[62]+x[66]+x[69]+2*x[70]+x[73]+3*x[74]+x[77]+x[86])*q^27 + (x[8]+2*x[9]+x[10]+x[12]+x[13]+2*x[14]+x[15]+x[16]+5*x[17]+x[18]+4*x[19]+3*x[20]+x[23]+x[25]+5*x[26]+3*x[27]+5*x[28]+x[29]+2*x[31]+2*x[34]+5*x[35]+2*x[37]+2*x[38]+4*x[39]+x[40]+9*x[41]+5*x[42]+3*x[43]+2*x[44]+3*x[45]+2*x[46]+4*x[47]+4*x[48]+3*x[49]+x[50]+4*x[52]+2*x[53]+3*x[54]+2*x[55]+x[56]+x[57]+2*x[58]+2*x[59]+x[61]+2*x[63]+5*x[64]+2*x[67]+4*x[69]+2*x[71]+x[74]+x[75]+2*x[76]+x[78]+x[80]+x[81]+x[90])*q^26 + (2*x[11]+4*x[14]+3*x[15]+4*x[16]+2*x[17]+2*x[18]+4*x[19]+2*x[20]+x[22]+2*x[24]+7*x[30]+4*x[32]+5*x[33]+2*x[36]+4*x[37]+4*x[38]+x[39]+x[40]+4*x[41]+4*x[42]+4*x[43]+7*x[44]+10*x[45]+4*x[46]+3*x[47]+2*x[48]+x[49]+5*x[50]+2*x[51]+4*x[52]+2*x[53]+5*x[54]+2*x[55]+x[56]+4*x[60]+6*x[62]+3*x[66]+x[69]+4*x[70]+x[71]+x[73]+6*x[74]+x[75]+2*x[77]+x[80]+x[82]+x[83]+x[86]+x[88]+x[93])*q^25 + (x[8]+x[9]+x[10]+x[13]+x[14]+2*x[15]+x[16]+6*x[17]+x[18]+4*x[19]+3*x[20]+x[25]+4*x[26]+3*x[27]+6*x[28]+x[29]+2*x[31]+2*x[34]+7*x[35]+2*x[37]+2*x[38]+5*x[39]+x[40]+12*x[41]+6*x[42]+4*x[43]+2*x[44]+3*x[45]+4*x[46]+6*x[47]+5*x[48]+5*x[49]+2*x[50]+x[51]+5*x[52]+3*x[53]+6*x[54]+4*x[55]+x[56]+x[57]+3*x[58]+2*x[59]+2*x[61]+3*x[63]+7*x[64]+x[65]+5*x[67]+x[68]+5*x[69]+x[70]+5*x[71]+2*x[74]+3*x[75]+4*x[76]+2*x[78]+2*x[80]+2*x[81]+x[82]+x[85]+x[87]+2*x[90]+x[95])*q^24 + (x[11]+3*x[14]+2*x[15]+4*x[16]+x[17]+2*x[18]+5*x[19]+2*x[20]+2*x[24]+7*x[30]+5*x[32]+5*x[33]+2*x[36]+4*x[37]+3*x[38]+x[39]+2*x[40]+4*x[41]+5*x[42]+5*x[43]+8*x[44]+13*x[45]+4*x[46]+4*x[47]+3*x[48]+x[49]+8*x[50]+2*x[51]+5*x[52]+4*x[53]+7*x[54]+3*x[55]+2*x[56]+5*x[60]+8*x[62]+6*x[66]+2*x[69]+5*x[70]+x[71]+2*x[73]+10*x[74]+x[75]+x[76]+4*x[77]+x[78]+x[79]+2*x[80]+x[81]+2*x[82]+2*x[83]+2*x[86]+2*x[88]+x[92]+2*x[93]+x[94])*q^23 + (x[9]+x[13]+x[14]+x[15]+5*x[17]+x[18]+3*x[19]+4*x[20]+x[25]+3*x[26]+2*x[27]+5*x[28]+x[29]+2*x[31]+2*x[34]+8*x[35]+x[37]+2*x[38]+6*x[39]+x[40]+13*x[41]+5*x[42]+4*x[43]+3*x[44]+3*x[45]+5*x[46]+8*x[47]+6*x[48]+7*x[49]+2*x[50]+6*x[52]+3*x[53]+9*x[54]+5*x[55]+2*x[56]+x[57]+2*x[58]+2*x[59]+3*x[61]+4*x[63]+10*x[64]+x[65]+7*x[67]+x[68]+7*x[69]+x[70]+7*x[71]+x[72]+x[73]+3*x[74]+3*x[75]+5*x[76]+x[77]+5*x[78]+4*x[80]+4*x[81]+2*x[82]+x[83]+x[85]+x[87]+x[89]+4*x[90]+x[91]+2*x[95]+x[97])*q^22 + (x[11]+2*x[14]+x[15]+3*x[16]+x[17]+x[18]+4*x[19]+x[20]+x[24]+6*x[30]+4*x[32]+5*x[33]+3*x[36]+3*x[37]+2*x[38]+2*x[40]+3*x[41]+6*x[42]+5*x[43]+7*x[44]+14*x[45]+3*x[46]+4*x[47]+4*x[48]+x[49]+10*x[50]+3*x[51]+6*x[52]+6*x[53]+8*x[54]+4*x[55]+3*x[56]+6*x[60]+8*x[62]+9*x[66]+2*x[69]+6*x[70]+2*x[71]+2*x[73]+14*x[74]+2*x[75]+2*x[76]+5*x[77]+x[78]+2*x[79]+3*x[80]+2*x[81]+4*x[82]+3*x[83]+x[84]+3*x[86]+4*x[88]+2*x[92]+3*x[93]+2*x[94]+x[98])*q^21 + (x[15]+4*x[17]+2*x[19]+3*x[20]+2*x[26]+x[27]+4*x[28]+x[29]+x[31]+2*x[34]+8*x[35]+x[37]+x[38]+5*x[39]+12*x[41]+4*x[42]+3*x[43]+3*x[44]+2*x[45]+6*x[46]+8*x[47]+5*x[48]+8*x[49]+2*x[50]+x[51]+5*x[52]+3*x[53]+12*x[54]+6*x[55]+2*x[56]+x[57]+2*x[58]+x[59]+3*x[61]+4*x[63]+10*x[64]+2*x[65]+9*x[67]+2*x[68]+7*x[69]+2*x[70]+10*x[71]+2*x[72]+x[73]+3*x[74]+5*x[75]+6*x[76]+x[77]+7*x[78]+5*x[80]+5*x[81]+3*x[82]+2*x[83]+x[84]+2*x[85]+2*x[87]+2*x[89]+6*x[90]+x[91]+x[93]+4*x[95]+x[97]+x[99]+x[101])*q^20 + (x[14]+2*x[16]+x[18]+3*x[19]+x[20]+4*x[30]+4*x[32]+4*x[33]+3*x[36]+2*x[37]+x[38]+2*x[40]+2*x[41]+5*x[42]+4*x[43]+5*x[44]+13*x[45]+2*x[46]+3*x[47]+5*x[48]+x[49]+10*x[50]+3*x[51]+6*x[52]+7*x[53]+7*x[54]+5*x[55]+5*x[56]+5*x[60]+8*x[62]+10*x[66]+2*x[69]+5*x[70]+x[71]+2*x[73]+16*x[74]+2*x[75]+3*x[76]+6*x[77]+x[78]+3*x[79]+4*x[80]+3*x[81]+6*x[82]+4*x[83]+x[84]+3*x[86]+6*x[88]+4*x[92]+5*x[93]+3*x[94]+x[95]+x[98]+x[103])*q^19 + (2*x[17]+x[18]+x[19]+3*x[20]+x[26]+2*x[28]+x[29]+x[31]+x[34]+6*x[35]+x[38]+4*x[39]+9*x[41]+2*x[42]+2*x[43]+2*x[44]+x[45]+5*x[46]+8*x[47]+4*x[48]+8*x[49]+x[50]+x[51]+4*x[52]+2*x[53]+13*x[54]+5*x[55]+2*x[56]+x[58]+x[59]+3*x[61]+3*x[63]+10*x[64]+2*x[65]+9*x[67]+2*x[68]+7*x[69]+2*x[70]+10*x[71]+2*x[72]+2*x[73]+3*x[74]+4*x[75]+5*x[76]+2*x[77]+9*x[78]+7*x[80]+6*x[81]+3*x[82]+3*x[83]+x[84]+2*x[85]+2*x[87]+3*x[89]+8*x[90]+2*x[91]+x[93]+6*x[95]+x[96]+2*x[97]+x[98]+x[99]+x[100]+x[101]+x[105])*q^18 + 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(x[19]+x[30]+x[32]+x[33]+x[36]+x[40]+2*x[42]+2*x[43]+x[44]+6*x[45]+x[47]+3*x[48]+7*x[50]+x[51]+4*x[52]+6*x[53]+3*x[54]+4*x[55]+5*x[56]+2*x[60]+4*x[62]+8*x[66]+x[69]+2*x[70]+x[73]+14*x[74]+x[75]+4*x[76]+4*x[77]+x[78]+4*x[79]+3*x[80]+4*x[81]+8*x[82]+3*x[83]+2*x[84]+3*x[86]+7*x[88]+7*x[92]+6*x[93]+4*x[94]+x[95]+x[97]+3*x[98]+x[99]+3*x[103]+x[106])*q^15 + (x[20]+2*x[35]+x[39]+3*x[41]+x[44]+2*x[46]+4*x[47]+x[48]+4*x[49]+x[52]+9*x[54]+2*x[55]+x[56]+x[61]+x[63]+5*x[64]+x[65]+6*x[67]+x[68]+4*x[69]+x[70]+7*x[71]+2*x[72]+2*x[73]+x[74]+3*x[75]+2*x[76]+2*x[77]+9*x[78]+7*x[80]+4*x[81]+2*x[82]+5*x[83]+2*x[84]+x[85]+x[87]+4*x[89]+8*x[90]+2*x[91]+x[93]+x[94]+8*x[95]+2*x[96]+2*x[97]+x[98]+2*x[99]+2*x[100]+2*x[101]+x[102]+x[104]+2*x[105])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+2*x[48]+4*x[50]+x[51]+2*x[52]+4*x[53]+x[54]+3*x[55]+4*x[56]+x[60]+2*x[62]+5*x[66]+x[70]+10*x[74]+x[75]+3*x[76]+2*x[77]+3*x[79]+2*x[80]+4*x[81]+8*x[82]+2*x[83]+2*x[84]+2*x[86]+6*x[88]+7*x[92]+6*x[93]+3*x[94]+x[95]+x[97]+3*x[98]+x[99]+4*x[103]+x[106])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+x[51]+6*x[54]+x[55]+2*x[64]+x[65]+4*x[67]+x[68]+2*x[69]+x[70]+5*x[71]+x[72]+x[73]+3*x[75]+x[76]+x[77]+6*x[78]+5*x[80]+2*x[81]+x[82]+4*x[83]+3*x[84]+x[85]+x[87]+3*x[89]+6*x[90]+x[91]+x[93]+x[94]+8*x[95]+2*x[96]+x[97]+x[98]+2*x[99]+2*x[100]+3*x[101]+x[102]+2*x[104]+2*x[105])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+6*x[74]+2*x[76]+x[77]+2*x[79]+x[80]+3*x[81]+6*x[82]+x[83]+x[84]+x[86]+4*x[88]+5*x[92]+5*x[93]+2*x[94]+x[97]+3*x[98]+x[99]+5*x[103]+x[105]+x[106]+x[108])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+4*x[80]+x[81]+3*x[83]+2*x[84]+2*x[89]+4*x[90]+x[91]+x[94]+6*x[95]+x[96]+x[97]+x[98]+x[99]+2*x[100]+2*x[101]+x[102]+2*x[104]+3*x[105]+x[107])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]+x[84]+x[86]+2*x[88]+4*x[92]+3*x[93]+x[94]+x[97]+3*x[98]+x[99]+4*x[103]+x[106]+x[108])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[99]+x[100]+2*x[101]+x[102]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103]+x[106]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107]+x[109])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #3.2 : c = (1) |O_x_c^F| = 1/2*q*(q^2-q+1)*(q^3-1)*(q^6+1)*(q^14-1) Qxc[C7,3,2] = (x[3]-x[4])*q^36 + (x[6]-x[12]+x[22])*q^35 + (-x[7]+x[9]+x[12]-x[14]-x[23]+x[26])*q^34 + (x[6]+x[11]-x[12]+x[14]-x[15]-x[17]+x[22]+x[30]+x[37]-x[38])*q^33 + (-x[7]+x[8]+x[9]-x[10]+x[12]-x[14]+x[15]-x[16]+x[17]-x[19]-x[23]+2*x[26]-x[27]+x[28]-x[37]+x[41]-x[42]+x[58])*q^32 + (x[5]+x[6]+x[11]-x[12]-x[13]+2*x[14]-2*x[15]+x[16]-x[17]-x[18]+x[19]-x[20]+x[22]+x[24]+2*x[30]+x[33]+2*x[37]-2*x[38]-x[41]+x[43]-x[44]+x[45]-x[46]+x[62])*q^31 + (-x[7]+x[8]+2*x[9]-x[10]+x[12]+x[13]-2*x[14]+x[15]-x[16]+2*x[17]+x[18]-2*x[19]+x[20]+x[21]-x[23]+3*x[26]-2*x[27]+2*x[28]-x[31]+x[35]-x[37]+x[38]+x[39]-x[40]+3*x[41]-2*x[42]-x[43]-x[45]+x[47]-x[48]-x[52]+x[58]-x[59]+x[64]+x[69])*q^30 + (x[6]+2*x[11]-x[12]+3*x[14]-3*x[15]+2*x[16]-2*x[17]-x[18]+2*x[19]-x[20]+x[22]+2*x[24]+4*x[30]+x[32]+2*x[33]+3*x[37]-3*x[38]-x[39]-2*x[41]+x[42]+2*x[43]-3*x[44]+3*x[45]-2*x[46]-x[47]+x[50]+x[52]-x[54]+x[60]+2*x[62]-x[70]+x[74])*q^29 + (-x[7]+x[8]+2*x[9]-x[10]+x[12]+x[13]-2*x[14]+2*x[15]-x[16]+4*x[17]-3*x[19]+x[20]-x[23]+x[25]+4*x[26]-3*x[27]+4*x[28]-x[31]-x[34]+3*x[35]-2*x[37]+x[38]+2*x[39]-x[40]+6*x[41]-4*x[42]-2*x[43]+x[44]-2*x[45]+x[46]+2*x[47]-2*x[48]+x[49]-x[50]-2*x[52]-x[53]+x[54]-x[55]+x[57]+2*x[58]-x[59]-x[63]+2*x[64]+x[67]+2*x[69]+x[71]+x[75]-x[76])*q^28 + (x[6]+2*x[11]-x[12]+4*x[14]-3*x[15]+3*x[16]-2*x[17]-2*x[18]+3*x[19]-2*x[20]+x[22]+2*x[24]+6*x[30]+3*x[32]+3*x[33]+x[36]+4*x[37]-4*x[38]-x[39]+x[40]-3*x[41]+2*x[42]+3*x[43]-5*x[44]+6*x[45]-3*x[46]-2*x[47]+x[48]-x[49]+3*x[50]-x[51]+2*x[52]+x[53]-3*x[54]+x[55]+2*x[60]+4*x[62]+x[66]-x[69]-2*x[70]-x[73]+3*x[74]-x[77]+x[86])*q^27 + (x[8]+2*x[9]-x[10]+x[12]+x[13]-2*x[14]+x[15]-x[16]+5*x[17]+x[18]-4*x[19]+3*x[20]-x[23]+x[25]+5*x[26]-3*x[27]+5*x[28]+x[29]-2*x[31]-2*x[34]+5*x[35]-2*x[37]+2*x[38]+4*x[39]-x[40]+9*x[41]-5*x[42]-3*x[43]+2*x[44]-3*x[45]+2*x[46]+4*x[47]-4*x[48]+3*x[49]-x[50]-4*x[52]-2*x[53]+3*x[54]-2*x[55]-x[56]+x[57]+2*x[58]-2*x[59]+x[61]-2*x[63]+5*x[64]+2*x[67]+4*x[69]+2*x[71]-x[74]+x[75]-2*x[76]+x[78]+x[80]-x[81]+x[90])*q^26 + (2*x[11]+4*x[14]-3*x[15]+4*x[16]-2*x[17]-2*x[18]+4*x[19]-2*x[20]+x[22]+2*x[24]+7*x[30]+4*x[32]+5*x[33]+2*x[36]+4*x[37]-4*x[38]-x[39]+x[40]-4*x[41]+4*x[42]+4*x[43]-7*x[44]+10*x[45]-4*x[46]-3*x[47]+2*x[48]-x[49]+5*x[50]-2*x[51]+4*x[52]+2*x[53]-5*x[54]+2*x[55]+x[56]+4*x[60]+6*x[62]+3*x[66]-x[69]-4*x[70]-x[71]-x[73]+6*x[74]-x[75]-2*x[77]-x[80]+x[82]-x[83]+x[86]+x[88]+x[93])*q^25 + (x[8]+x[9]-x[10]+x[13]-x[14]+2*x[15]-x[16]+6*x[17]+x[18]-4*x[19]+3*x[20]+x[25]+4*x[26]-3*x[27]+6*x[28]+x[29]-2*x[31]-2*x[34]+7*x[35]-2*x[37]+2*x[38]+5*x[39]-x[40]+12*x[41]-6*x[42]-4*x[43]+2*x[44]-3*x[45]+4*x[46]+6*x[47]-5*x[48]+5*x[49]-2*x[50]+x[51]-5*x[52]-3*x[53]+6*x[54]-4*x[55]-x[56]+x[57]+3*x[58]-2*x[59]+2*x[61]-3*x[63]+7*x[64]+x[65]+5*x[67]-x[68]+5*x[69]+x[70]+5*x[71]-2*x[74]+3*x[75]-4*x[76]+2*x[78]+2*x[80]-2*x[81]-x[82]+x[85]-x[87]+2*x[90]+x[95])*q^24 + (x[11]+3*x[14]-2*x[15]+4*x[16]-x[17]-2*x[18]+5*x[19]-2*x[20]+2*x[24]+7*x[30]+5*x[32]+5*x[33]+2*x[36]+4*x[37]-3*x[38]-x[39]+2*x[40]-4*x[41]+5*x[42]+5*x[43]-8*x[44]+13*x[45]-4*x[46]-4*x[47]+3*x[48]-x[49]+8*x[50]-2*x[51]+5*x[52]+4*x[53]-7*x[54]+3*x[55]+2*x[56]+5*x[60]+8*x[62]+6*x[66]-2*x[69]-5*x[70]-x[71]-2*x[73]+10*x[74]-x[75]+x[76]-4*x[77]-x[78]+x[79]-2*x[80]+x[81]+2*x[82]-2*x[83]+2*x[86]+2*x[88]+x[92]+2*x[93]-x[94])*q^23 + 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(2*x[17]+x[18]-x[19]+3*x[20]+x[26]+2*x[28]+x[29]-x[31]-x[34]+6*x[35]+x[38]+4*x[39]+9*x[41]-2*x[42]-2*x[43]+2*x[44]-x[45]+5*x[46]+8*x[47]-4*x[48]+8*x[49]-x[50]+x[51]-4*x[52]-2*x[53]+13*x[54]-5*x[55]-2*x[56]+x[58]-x[59]+3*x[61]-3*x[63]+10*x[64]+2*x[65]+9*x[67]-2*x[68]+7*x[69]+2*x[70]+10*x[71]+2*x[72]+2*x[73]-3*x[74]+4*x[75]-5*x[76]+2*x[77]+9*x[78]+7*x[80]-6*x[81]-3*x[82]+3*x[83]+x[84]+2*x[85]-2*x[87]+3*x[89]+8*x[90]-2*x[91]-x[93]+6*x[95]+x[96]-2*x[97]-x[98]-x[99]+x[100]+x[101]+x[105])*q^18 + (x[16]+2*x[19]+2*x[30]+2*x[32]+3*x[33]+2*x[36]+x[37]+x[40]-x[41]+4*x[42]+3*x[43]-3*x[44]+10*x[45]-x[46]-2*x[47]+4*x[48]+9*x[50]-2*x[51]+5*x[52]+7*x[53]-5*x[54]+5*x[55]+5*x[56]+4*x[60]+6*x[62]+10*x[66]-x[69]-4*x[70]-x[71]-x[73]+16*x[74]-2*x[75]+4*x[76]-5*x[77]-x[78]+3*x[79]-4*x[80]+4*x[81]+8*x[82]-4*x[83]-2*x[84]+3*x[86]+7*x[88]+6*x[92]+6*x[93]-4*x[94]-x[95]+2*x[98]+2*x[103])*q^17 + (x[17]+x[20]+x[28]-x[34]+4*x[35]+2*x[39]+6*x[41]-x[42]-x[43]+2*x[44]+4*x[46]+6*x[47]-2*x[48]+6*x[49]-x[50]+x[51]-2*x[52]-x[53]+12*x[54]-4*x[55]-x[56]+x[58]+2*x[61]-2*x[63]+7*x[64]+2*x[65]+9*x[67]-x[68]+5*x[69]+2*x[70]+10*x[71]+2*x[72]+2*x[73]-2*x[74]+5*x[75]-4*x[76]+x[77]+9*x[78]+7*x[80]-5*x[81]-3*x[82]+4*x[83]+2*x[84]+2*x[85]-2*x[87]+4*x[89]+8*x[90]-2*x[91]-x[93]+x[94]+8*x[95]+x[96]-2*x[97]-x[98]-2*x[99]+x[100]+2*x[101]-x[102]+x[104]+x[105])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[36]+x[40]+2*x[42]+2*x[43]-x[44]+6*x[45]-x[47]+3*x[48]+7*x[50]-x[51]+4*x[52]+6*x[53]-3*x[54]+4*x[55]+5*x[56]+2*x[60]+4*x[62]+8*x[66]-x[69]-2*x[70]-x[73]+14*x[74]-x[75]+4*x[76]-4*x[77]-x[78]+4*x[79]-3*x[80]+4*x[81]+8*x[82]-3*x[83]-2*x[84]+3*x[86]+7*x[88]+7*x[92]+6*x[93]-4*x[94]-x[95]+x[97]+3*x[98]+x[99]+3*x[103]-x[106])*q^15 + (x[20]+2*x[35]+x[39]+3*x[41]+x[44]+2*x[46]+4*x[47]-x[48]+4*x[49]-x[52]+9*x[54]-2*x[55]-x[56]+x[61]-x[63]+5*x[64]+x[65]+6*x[67]-x[68]+4*x[69]+x[70]+7*x[71]+2*x[72]+2*x[73]-x[74]+3*x[75]-2*x[76]+2*x[77]+9*x[78]+7*x[80]-4*x[81]-2*x[82]+5*x[83]+2*x[84]+x[85]-x[87]+4*x[89]+8*x[90]-2*x[91]-x[93]+x[94]+8*x[95]+2*x[96]-2*x[97]-x[98]-2*x[99]+2*x[100]+2*x[101]-x[102]+x[104]+2*x[105])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+2*x[48]+4*x[50]-x[51]+2*x[52]+4*x[53]-x[54]+3*x[55]+4*x[56]+x[60]+2*x[62]+5*x[66]-x[70]+10*x[74]-x[75]+3*x[76]-2*x[77]+3*x[79]-2*x[80]+4*x[81]+8*x[82]-2*x[83]-2*x[84]+2*x[86]+6*x[88]+7*x[92]+6*x[93]-3*x[94]-x[95]+x[97]+3*x[98]+x[99]+4*x[103]-x[106])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+x[51]+6*x[54]-x[55]+2*x[64]+x[65]+4*x[67]-x[68]+2*x[69]+x[70]+5*x[71]+x[72]+x[73]+3*x[75]-x[76]+x[77]+6*x[78]+5*x[80]-2*x[81]-x[82]+4*x[83]+3*x[84]+x[85]-x[87]+3*x[89]+6*x[90]-x[91]-x[93]+x[94]+8*x[95]+2*x[96]-x[97]-x[98]-2*x[99]+2*x[100]+3*x[101]-x[102]+2*x[104]+2*x[105])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+6*x[74]+2*x[76]-x[77]+2*x[79]-x[80]+3*x[81]+6*x[82]-x[83]-x[84]+x[86]+4*x[88]+5*x[92]+5*x[93]-2*x[94]+x[97]+3*x[98]+x[99]+5*x[103]-x[105]-x[106]+x[108])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+4*x[80]-x[81]+3*x[83]+2*x[84]+2*x[89]+4*x[90]-x[91]+x[94]+6*x[95]+x[96]-x[97]-x[98]-x[99]+2*x[100]+2*x[101]-x[102]+2*x[104]+3*x[105]+x[107])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]-x[84]+x[86]+2*x[88]+4*x[92]+3*x[93]-x[94]+x[97]+3*x[98]+x[99]+4*x[103]-x[106]+x[108])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]-x[99]+x[100]+2*x[101]-x[102]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103]-x[106]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107]-x[109])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #4 : [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] dim = 36 A(O) = 1 , |A(O)_0| = 1 g_s = 6*V[2]+24*V[1]+39*V[0] Z_G(x)_0 = Sp8+O3 # Green Polys by orbit reps #4.1 : x[5] : [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[1, 1, 1, 1, 1, 1], [1]] Qxi[C7,4,1] = (x[5])*q^31 + (x[8]+x[13]+x[21])*q^30 + (x[11]+x[16]+2*x[24])*q^29 + (x[8]+x[9]+x[13]+x[17]+x[25]+2*x[28]+x[39]+x[57])*q^28 + (x[6]+x[11]+x[14]+2*x[16]+2*x[24]+2*x[30]+2*x[32]+x[40]+x[45]+x[60])*q^27 + (x[8]+x[9]+x[12]+x[13]+2*x[17]+x[20]+x[25]+2*x[26]+3*x[28]+x[29]+2*x[35]+3*x[39]+x[41]+x[46]+x[49]+x[57]+x[61]+x[64])*q^26 + (2*x[11]+2*x[14]+3*x[16]+x[19]+x[22]+2*x[24]+3*x[30]+3*x[32]+2*x[33]+2*x[36]+x[37]+x[40]+x[42]+4*x[45]+x[50]+x[53]+3*x[60]+x[62]+x[66])*q^25 + (x[8]+x[9]+x[13]+x[15]+4*x[17]+2*x[20]+x[25]+2*x[26]+5*x[28]+x[29]+4*x[35]+x[38]+4*x[39]+4*x[41]+2*x[46]+x[47]+3*x[49]+x[54]+x[57]+x[58]+2*x[61]+3*x[64]+x[65]+x[67]+2*x[71]+x[85])*q^24 + (x[11]+2*x[14]+4*x[16]+3*x[19]+2*x[24]+5*x[30]+5*x[32]+2*x[33]+x[36]+2*x[37]+2*x[40]+2*x[42]+x[43]+8*x[45]+x[48]+3*x[50]+x[52]+2*x[53]+x[56]+4*x[60]+3*x[62]+4*x[66]+2*x[74]+x[88])*q^23 + (x[9]+x[13]+x[15]+4*x[17]+x[18]+3*x[20]+x[25]+2*x[26]+5*x[28]+x[29]+6*x[35]+x[38]+6*x[39]+7*x[41]+x[44]+4*x[46]+4*x[47]+5*x[49]+3*x[54]+x[57]+x[58]+3*x[61]+6*x[64]+x[65]+3*x[67]+2*x[69]+4*x[71]+x[72]+x[73]+2*x[78]+x[85]+x[89]+x[90])*q^22 + (x[11]+2*x[14]+3*x[16]+3*x[19]+x[24]+5*x[30]+4*x[32]+4*x[33]+3*x[36]+2*x[37]+2*x[40]+4*x[42]+3*x[43]+11*x[45]+2*x[48]+6*x[50]+2*x[52]+5*x[53]+x[55]+x[56]+6*x[60]+4*x[62]+7*x[66]+6*x[74]+x[76]+x[79]+x[82]+x[86]+2*x[88]+x[92])*q^21 + (x[15]+4*x[17]+3*x[20]+2*x[26]+4*x[28]+x[29]+7*x[35]+x[38]+5*x[39]+9*x[41]+2*x[44]+5*x[46]+5*x[47]+7*x[49]+7*x[54]+x[57]+x[58]+3*x[61]+8*x[64]+2*x[65]+6*x[67]+3*x[69]+x[70]+8*x[71]+2*x[72]+x[73]+2*x[75]+4*x[78]+x[80]+x[83]+2*x[85]+2*x[89]+2*x[90]+x[95])*q^20 + (x[14]+2*x[16]+3*x[19]+4*x[30]+4*x[32]+3*x[33]+3*x[36]+2*x[37]+2*x[40]+4*x[42]+3*x[43]+12*x[45]+4*x[48]+8*x[50]+4*x[52]+6*x[53]+2*x[55]+4*x[56]+5*x[60]+6*x[62]+9*x[66]+10*x[74]+2*x[76]+3*x[79]+x[81]+3*x[82]+x[86]+5*x[88]+2*x[92]+x[93])*q^19 + (2*x[17]+x[18]+3*x[20]+x[26]+2*x[28]+x[29]+6*x[35]+x[38]+4*x[39]+8*x[41]+2*x[44]+5*x[46]+7*x[47]+8*x[49]+x[51]+10*x[54]+x[58]+3*x[61]+9*x[64]+2*x[65]+7*x[67]+5*x[69]+x[70]+9*x[71]+2*x[72]+2*x[73]+2*x[75]+x[77]+7*x[78]+3*x[80]+2*x[83]+2*x[85]+3*x[89]+5*x[90]+3*x[95]+x[96]+x[100])*q^18 + (x[16]+2*x[19]+2*x[30]+2*x[32]+3*x[33]+2*x[36]+x[37]+x[40]+4*x[42]+3*x[43]+10*x[45]+4*x[48]+8*x[50]+4*x[52]+7*x[53]+4*x[55]+4*x[56]+4*x[60]+5*x[62]+10*x[66]+13*x[74]+3*x[76]+2*x[79]+2*x[81]+6*x[82]+2*x[86]+6*x[88]+5*x[92]+3*x[93]+x[103])*q^17 + (x[17]+x[20]+x[28]+4*x[35]+2*x[39]+6*x[41]+2*x[44]+4*x[46]+6*x[47]+6*x[49]+x[51]+11*x[54]+x[58]+2*x[61]+7*x[64]+2*x[65]+8*x[67]+4*x[69]+2*x[70]+10*x[71]+2*x[72]+2*x[73]+4*x[75]+x[77]+8*x[78]+5*x[80]+3*x[83]+x[84]+2*x[85]+4*x[89]+6*x[90]+6*x[95]+x[96]+x[100]+x[101]+x[104])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[36]+x[40]+2*x[42]+2*x[43]+6*x[45]+3*x[48]+7*x[50]+4*x[52]+6*x[53]+4*x[55]+5*x[56]+2*x[60]+4*x[62]+8*x[66]+13*x[74]+4*x[76]+4*x[79]+3*x[81]+7*x[82]+2*x[86]+7*x[88]+6*x[92]+4*x[93]+x[97]+2*x[98]+2*x[103])*q^15 + (x[20]+2*x[35]+x[39]+3*x[41]+x[44]+2*x[46]+4*x[47]+4*x[49]+9*x[54]+x[61]+5*x[64]+x[65]+6*x[67]+4*x[69]+x[70]+7*x[71]+2*x[72]+2*x[73]+3*x[75]+2*x[77]+9*x[78]+6*x[80]+5*x[83]+x[84]+x[85]+4*x[89]+7*x[90]+x[94]+7*x[95]+2*x[96]+2*x[100]+x[101]+x[104]+x[105])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+2*x[48]+4*x[50]+2*x[52]+4*x[53]+3*x[55]+4*x[56]+x[60]+2*x[62]+5*x[66]+10*x[74]+3*x[76]+3*x[79]+4*x[81]+8*x[82]+2*x[86]+6*x[88]+7*x[92]+5*x[93]+x[97]+2*x[98]+x[99]+3*x[103])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+x[51]+6*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+x[70]+5*x[71]+x[72]+x[73]+3*x[75]+x[77]+6*x[78]+5*x[80]+4*x[83]+3*x[84]+x[85]+3*x[89]+6*x[90]+x[94]+8*x[95]+2*x[96]+2*x[100]+2*x[101]+2*x[104]+x[105])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+6*x[74]+2*x[76]+2*x[79]+3*x[81]+6*x[82]+x[86]+4*x[88]+5*x[92]+5*x[93]+x[97]+3*x[98]+x[99]+5*x[103])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+4*x[80]+3*x[83]+2*x[84]+2*x[89]+4*x[90]+x[94]+6*x[95]+x[96]+2*x[100]+2*x[101]+2*x[104]+3*x[105]+x[107])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+x[97]+3*x[98]+x[99]+4*x[103]+x[108])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #4.1 : c = () |O_x_c^F| = q^2*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^12-1)*(q^14-1) Qxc[C7,4,1] = (x[5])*q^31 + (x[8]+x[13]+x[21])*q^30 + (x[11]+x[16]+2*x[24])*q^29 + (x[8]+x[9]+x[13]+x[17]+x[25]+2*x[28]+x[39]+x[57])*q^28 + (x[6]+x[11]+x[14]+2*x[16]+2*x[24]+2*x[30]+2*x[32]+x[40]+x[45]+x[60])*q^27 + (x[8]+x[9]+x[12]+x[13]+2*x[17]+x[20]+x[25]+2*x[26]+3*x[28]+x[29]+2*x[35]+3*x[39]+x[41]+x[46]+x[49]+x[57]+x[61]+x[64])*q^26 + (2*x[11]+2*x[14]+3*x[16]+x[19]+x[22]+2*x[24]+3*x[30]+3*x[32]+2*x[33]+2*x[36]+x[37]+x[40]+x[42]+4*x[45]+x[50]+x[53]+3*x[60]+x[62]+x[66])*q^25 + (x[8]+x[9]+x[13]+x[15]+4*x[17]+2*x[20]+x[25]+2*x[26]+5*x[28]+x[29]+4*x[35]+x[38]+4*x[39]+4*x[41]+2*x[46]+x[47]+3*x[49]+x[54]+x[57]+x[58]+2*x[61]+3*x[64]+x[65]+x[67]+2*x[71]+x[85])*q^24 + (x[11]+2*x[14]+4*x[16]+3*x[19]+2*x[24]+5*x[30]+5*x[32]+2*x[33]+x[36]+2*x[37]+2*x[40]+2*x[42]+x[43]+8*x[45]+x[48]+3*x[50]+x[52]+2*x[53]+x[56]+4*x[60]+3*x[62]+4*x[66]+2*x[74]+x[88])*q^23 + (x[9]+x[13]+x[15]+4*x[17]+x[18]+3*x[20]+x[25]+2*x[26]+5*x[28]+x[29]+6*x[35]+x[38]+6*x[39]+7*x[41]+x[44]+4*x[46]+4*x[47]+5*x[49]+3*x[54]+x[57]+x[58]+3*x[61]+6*x[64]+x[65]+3*x[67]+2*x[69]+4*x[71]+x[72]+x[73]+2*x[78]+x[85]+x[89]+x[90])*q^22 + (x[11]+2*x[14]+3*x[16]+3*x[19]+x[24]+5*x[30]+4*x[32]+4*x[33]+3*x[36]+2*x[37]+2*x[40]+4*x[42]+3*x[43]+11*x[45]+2*x[48]+6*x[50]+2*x[52]+5*x[53]+x[55]+x[56]+6*x[60]+4*x[62]+7*x[66]+6*x[74]+x[76]+x[79]+x[82]+x[86]+2*x[88]+x[92])*q^21 + (x[15]+4*x[17]+3*x[20]+2*x[26]+4*x[28]+x[29]+7*x[35]+x[38]+5*x[39]+9*x[41]+2*x[44]+5*x[46]+5*x[47]+7*x[49]+7*x[54]+x[57]+x[58]+3*x[61]+8*x[64]+2*x[65]+6*x[67]+3*x[69]+x[70]+8*x[71]+2*x[72]+x[73]+2*x[75]+4*x[78]+x[80]+x[83]+2*x[85]+2*x[89]+2*x[90]+x[95])*q^20 + (x[14]+2*x[16]+3*x[19]+4*x[30]+4*x[32]+3*x[33]+3*x[36]+2*x[37]+2*x[40]+4*x[42]+3*x[43]+12*x[45]+4*x[48]+8*x[50]+4*x[52]+6*x[53]+2*x[55]+4*x[56]+5*x[60]+6*x[62]+9*x[66]+10*x[74]+2*x[76]+3*x[79]+x[81]+3*x[82]+x[86]+5*x[88]+2*x[92]+x[93])*q^19 + (2*x[17]+x[18]+3*x[20]+x[26]+2*x[28]+x[29]+6*x[35]+x[38]+4*x[39]+8*x[41]+2*x[44]+5*x[46]+7*x[47]+8*x[49]+x[51]+10*x[54]+x[58]+3*x[61]+9*x[64]+2*x[65]+7*x[67]+5*x[69]+x[70]+9*x[71]+2*x[72]+2*x[73]+2*x[75]+x[77]+7*x[78]+3*x[80]+2*x[83]+2*x[85]+3*x[89]+5*x[90]+3*x[95]+x[96]+x[100])*q^18 + (x[16]+2*x[19]+2*x[30]+2*x[32]+3*x[33]+2*x[36]+x[37]+x[40]+4*x[42]+3*x[43]+10*x[45]+4*x[48]+8*x[50]+4*x[52]+7*x[53]+4*x[55]+4*x[56]+4*x[60]+5*x[62]+10*x[66]+13*x[74]+3*x[76]+2*x[79]+2*x[81]+6*x[82]+2*x[86]+6*x[88]+5*x[92]+3*x[93]+x[103])*q^17 + (x[17]+x[20]+x[28]+4*x[35]+2*x[39]+6*x[41]+2*x[44]+4*x[46]+6*x[47]+6*x[49]+x[51]+11*x[54]+x[58]+2*x[61]+7*x[64]+2*x[65]+8*x[67]+4*x[69]+2*x[70]+10*x[71]+2*x[72]+2*x[73]+4*x[75]+x[77]+8*x[78]+5*x[80]+3*x[83]+x[84]+2*x[85]+4*x[89]+6*x[90]+6*x[95]+x[96]+x[100]+x[101]+x[104])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[36]+x[40]+2*x[42]+2*x[43]+6*x[45]+3*x[48]+7*x[50]+4*x[52]+6*x[53]+4*x[55]+5*x[56]+2*x[60]+4*x[62]+8*x[66]+13*x[74]+4*x[76]+4*x[79]+3*x[81]+7*x[82]+2*x[86]+7*x[88]+6*x[92]+4*x[93]+x[97]+2*x[98]+2*x[103])*q^15 + (x[20]+2*x[35]+x[39]+3*x[41]+x[44]+2*x[46]+4*x[47]+4*x[49]+9*x[54]+x[61]+5*x[64]+x[65]+6*x[67]+4*x[69]+x[70]+7*x[71]+2*x[72]+2*x[73]+3*x[75]+2*x[77]+9*x[78]+6*x[80]+5*x[83]+x[84]+x[85]+4*x[89]+7*x[90]+x[94]+7*x[95]+2*x[96]+2*x[100]+x[101]+x[104]+x[105])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+2*x[48]+4*x[50]+2*x[52]+4*x[53]+3*x[55]+4*x[56]+x[60]+2*x[62]+5*x[66]+10*x[74]+3*x[76]+3*x[79]+4*x[81]+8*x[82]+2*x[86]+6*x[88]+7*x[92]+5*x[93]+x[97]+2*x[98]+x[99]+3*x[103])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+x[51]+6*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+x[70]+5*x[71]+x[72]+x[73]+3*x[75]+x[77]+6*x[78]+5*x[80]+4*x[83]+3*x[84]+x[85]+3*x[89]+6*x[90]+x[94]+8*x[95]+2*x[96]+2*x[100]+2*x[101]+2*x[104]+x[105])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+6*x[74]+2*x[76]+2*x[79]+3*x[81]+6*x[82]+x[86]+4*x[88]+5*x[92]+5*x[93]+x[97]+3*x[98]+x[99]+5*x[103])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+4*x[80]+3*x[83]+2*x[84]+2*x[89]+4*x[90]+x[94]+6*x[95]+x[96]+2*x[100]+2*x[101]+2*x[104]+3*x[105]+x[107])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+x[97]+3*x[98]+x[99]+4*x[103]+x[108])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #5 : [2, 2, 2, 2, 1, 1, 1, 1, 1, 1] dim = 44 A(O) = Z2 , |A(O)_0| = 2 g_s = 10*V[2]+24*V[1]+27*V[0] Z_G(x)_0 = Sp6+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, 1, 1, 1]] Qxi[C7,5,1] = (x[6])*q^27 + (x[9]+x[12]+x[26])*q^26 + (x[11]+2*x[14]+x[22]+x[30]+x[33]+x[37])*q^25 + (x[8]+x[9]+x[15]+2*x[17]+2*x[26]+x[28]+x[35]+x[38]+2*x[41]+x[58])*q^24 + (x[11]+2*x[14]+2*x[16]+2*x[19]+x[24]+3*x[30]+x[32]+x[33]+2*x[37]+x[42]+x[43]+2*x[45]+x[50]+x[52]+2*x[62])*q^23 + (x[9]+x[13]+x[15]+3*x[17]+x[18]+2*x[20]+x[25]+2*x[26]+3*x[28]+2*x[35]+x[38]+2*x[39]+5*x[41]+x[44]+x[46]+2*x[47]+x[49]+x[54]+x[58]+2*x[64]+x[67]+2*x[69])*q^22 + (x[11]+2*x[14]+2*x[16]+3*x[19]+x[24]+4*x[30]+2*x[32]+3*x[33]+x[36]+2*x[37]+x[40]+3*x[42]+3*x[43]+6*x[45]+x[48]+3*x[50]+2*x[52]+x[53]+x[55]+2*x[60]+3*x[62]+x[66]+3*x[74]+x[86])*q^21 + (x[15]+4*x[17]+2*x[20]+2*x[26]+3*x[28]+x[29]+5*x[35]+x[38]+3*x[39]+8*x[41]+2*x[44]+3*x[46]+4*x[47]+3*x[49]+4*x[54]+x[57]+x[58]+x[61]+4*x[64]+3*x[67]+3*x[69]+x[70]+3*x[71]+2*x[75]+x[78]+x[80]+x[90])*q^20 + (x[14]+2*x[16]+3*x[19]+4*x[30]+3*x[32]+3*x[33]+2*x[36]+2*x[37]+x[40]+4*x[42]+3*x[43]+9*x[45]+3*x[48]+6*x[50]+4*x[52]+3*x[53]+2*x[55]+2*x[56]+3*x[60]+5*x[62]+4*x[66]+7*x[74]+x[76]+x[79]+x[81]+x[82]+x[86]+x[88]+x[93])*q^19 + (2*x[17]+x[18]+3*x[20]+x[26]+2*x[28]+x[29]+5*x[35]+x[38]+3*x[39]+8*x[41]+2*x[44]+4*x[46]+6*x[47]+6*x[49]+x[51]+8*x[54]+x[58]+2*x[61]+7*x[64]+x[65]+5*x[67]+5*x[69]+x[70]+5*x[71]+x[72]+x[73]+2*x[75]+x[77]+4*x[78]+3*x[80]+x[83]+x[85]+3*x[90]+x[95])*q^18 + (x[16]+2*x[19]+2*x[30]+2*x[32]+3*x[33]+2*x[36]+x[37]+x[40]+4*x[42]+3*x[43]+9*x[45]+4*x[48]+7*x[50]+4*x[52]+5*x[53]+4*x[55]+3*x[56]+3*x[60]+5*x[62]+7*x[66]+11*x[74]+2*x[76]+x[79]+2*x[81]+4*x[82]+2*x[86]+3*x[88]+2*x[92]+3*x[93])*q^17 + (x[17]+x[20]+x[28]+4*x[35]+2*x[39]+6*x[41]+2*x[44]+4*x[46]+6*x[47]+5*x[49]+x[51]+10*x[54]+x[58]+2*x[61]+6*x[64]+2*x[65]+7*x[67]+4*x[69]+2*x[70]+8*x[71]+x[72]+x[73]+4*x[75]+x[77]+6*x[78]+5*x[80]+2*x[83]+x[84]+x[85]+2*x[89]+5*x[90]+4*x[95]+x[101])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[36]+x[40]+2*x[42]+2*x[43]+6*x[45]+3*x[48]+7*x[50]+4*x[52]+5*x[53]+4*x[55]+4*x[56]+2*x[60]+4*x[62]+7*x[66]+12*x[74]+4*x[76]+3*x[79]+3*x[81]+6*x[82]+2*x[86]+5*x[88]+4*x[92]+4*x[93]+2*x[98]+x[103])*q^15 + (x[20]+2*x[35]+x[39]+3*x[41]+x[44]+2*x[46]+4*x[47]+4*x[49]+9*x[54]+x[61]+5*x[64]+x[65]+6*x[67]+4*x[69]+x[70]+6*x[71]+2*x[72]+2*x[73]+3*x[75]+2*x[77]+8*x[78]+6*x[80]+4*x[83]+x[84]+x[85]+3*x[89]+6*x[90]+x[94]+6*x[95]+x[96]+x[100]+x[101]+x[105])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+2*x[48]+4*x[50]+2*x[52]+4*x[53]+3*x[55]+4*x[56]+x[60]+2*x[62]+5*x[66]+10*x[74]+3*x[76]+3*x[79]+4*x[81]+7*x[82]+2*x[86]+5*x[88]+6*x[92]+5*x[93]+x[97]+2*x[98]+x[99]+2*x[103])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+x[51]+6*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+x[70]+5*x[71]+x[72]+x[73]+3*x[75]+x[77]+6*x[78]+5*x[80]+4*x[83]+3*x[84]+x[85]+3*x[89]+6*x[90]+x[94]+7*x[95]+2*x[96]+x[100]+2*x[101]+x[104]+x[105])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+6*x[74]+2*x[76]+2*x[79]+3*x[81]+6*x[82]+x[86]+4*x[88]+5*x[92]+5*x[93]+x[97]+3*x[98]+x[99]+4*x[103])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+4*x[80]+3*x[83]+2*x[84]+2*x[89]+4*x[90]+x[94]+6*x[95]+x[96]+2*x[100]+2*x[101]+2*x[104]+3*x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+x[97]+3*x[98]+x[99]+4*x[103]+x[108])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #5.2 : x[7] : [2, 2, 2, 2, 1, 1, 1, 1, 1, 1],[-1] : [[], [2, 2, 1, 1, 1]] Qxi[C7,5,2] = (x[7])*q^27 + (x[12]+x[15])*q^26 + (x[10]+x[14]+x[19]+x[23]+x[27]+x[37])*q^25 + (2*x[15]+x[17]+x[18]+x[20]+2*x[38]+x[41]+x[44])*q^24 + (x[10]+x[14]+x[16]+2*x[19]+2*x[27]+x[31]+x[34]+x[37]+2*x[42]+2*x[43]+x[45]+x[48]+x[52]+x[59])*q^23 + (2*x[15]+x[17]+2*x[18]+x[20]+2*x[38]+x[39]+2*x[41]+4*x[44]+2*x[46]+2*x[47]+x[51]+x[54]+x[69]+x[70])*q^22 + (x[14]+3*x[19]+2*x[27]+2*x[31]+x[34]+x[37]+x[40]+3*x[42]+3*x[43]+2*x[45]+3*x[48]+x[50]+3*x[52]+x[53]+2*x[55]+x[59]+2*x[63]+x[74]+x[76])*q^21 + (x[15]+x[17]+x[18]+x[20]+2*x[38]+3*x[41]+6*x[44]+2*x[46]+3*x[47]+x[49]+x[51]+4*x[54]+x[69]+3*x[70]+x[71]+x[73]+x[75]+2*x[77]+x[80])*q^20 + (2*x[19]+x[27]+x[31]+2*x[34]+x[37]+4*x[42]+3*x[43]+2*x[45]+4*x[48]+2*x[50]+4*x[52]+2*x[53]+4*x[55]+x[56]+x[59]+3*x[63]+x[68]+2*x[74]+3*x[76]+2*x[81]+x[82]+x[87])*q^19 + (x[18]+x[20]+x[38]+2*x[41]+5*x[44]+2*x[46]+3*x[47]+x[49]+3*x[51]+6*x[54]+2*x[69]+4*x[70]+x[71]+x[73]+2*x[75]+4*x[77]+x[78]+2*x[80]+2*x[83]+x[94])*q^18 + (x[19]+x[31]+x[34]+2*x[42]+2*x[43]+x[45]+4*x[48]+x[50]+4*x[52]+2*x[53]+5*x[55]+2*x[56]+x[59]+3*x[63]+2*x[68]+3*x[74]+4*x[76]+4*x[81]+2*x[82]+x[87]+x[91]+x[93]+x[97])*q^17 + (x[41]+3*x[44]+x[46]+2*x[47]+2*x[51]+5*x[54]+x[69]+4*x[70]+x[71]+x[73]+2*x[75]+5*x[77]+x[78]+4*x[80]+3*x[83]+x[84]+2*x[94]+x[95])*q^16 + (x[34]+x[42]+x[43]+2*x[48]+x[50]+2*x[52]+x[53]+4*x[55]+x[56]+2*x[63]+x[68]+2*x[74]+4*x[76]+5*x[81]+3*x[82]+2*x[87]+2*x[91]+x[93]+x[97]+x[98]+x[99])*q^15 + (x[44]+x[47]+x[51]+3*x[54]+x[69]+2*x[70]+x[73]+x[75]+4*x[77]+x[78]+3*x[80]+3*x[83]+2*x[84]+4*x[94]+x[95])*q^14 + (x[48]+x[52]+2*x[55]+x[56]+x[63]+x[68]+x[74]+2*x[76]+4*x[81]+2*x[82]+x[87]+2*x[91]+x[93]+2*x[97]+x[98]+2*x[99]+x[102])*q^13 + (x[51]+x[54]+x[70]+x[75]+2*x[77]+2*x[80]+2*x[83]+2*x[84]+3*x[94]+x[95]+x[106])*q^12 + (x[55]+x[68]+x[76]+2*x[81]+x[82]+x[87]+x[91]+x[93]+x[97]+x[98]+2*x[99]+x[102])*q^11 + (x[77]+x[80]+x[83]+x[84]+2*x[94]+x[105]+x[106])*q^10 + (x[81]+x[91]+x[97]+x[98]+x[99]+x[102])*q^9 + (x[84]+x[94]+x[106])*q^8 + (x[99]+x[102])*q^7 + (x[106])*q^6 + (x[109])*q^5 # Green Polys by conj class in A(O) #5.1 : c = () |O_x_c^F| = 1/2*q^4*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^4+1)*(q^12-1)*(q^14-1) Qxc[C7,5,1] = (x[6]+x[7])*q^27 + (x[9]+2*x[12]+x[15]+x[26])*q^26 + (x[10]+x[11]+3*x[14]+x[19]+x[22]+x[23]+x[27]+x[30]+x[33]+2*x[37])*q^25 + (x[8]+x[9]+3*x[15]+3*x[17]+x[18]+x[20]+2*x[26]+x[28]+x[35]+3*x[38]+3*x[41]+x[44]+x[58])*q^24 + (x[10]+x[11]+3*x[14]+3*x[16]+4*x[19]+x[24]+2*x[27]+3*x[30]+x[31]+x[32]+x[33]+x[34]+3*x[37]+3*x[42]+3*x[43]+3*x[45]+x[48]+x[50]+2*x[52]+x[59]+2*x[62])*q^23 + (x[9]+x[13]+3*x[15]+4*x[17]+3*x[18]+3*x[20]+x[25]+2*x[26]+3*x[28]+2*x[35]+3*x[38]+3*x[39]+7*x[41]+5*x[44]+3*x[46]+4*x[47]+x[49]+x[51]+2*x[54]+x[58]+2*x[64]+x[67]+3*x[69]+x[70])*q^22 + (x[11]+3*x[14]+2*x[16]+6*x[19]+x[24]+2*x[27]+4*x[30]+2*x[31]+2*x[32]+3*x[33]+x[34]+x[36]+3*x[37]+2*x[40]+6*x[42]+6*x[43]+8*x[45]+4*x[48]+4*x[50]+5*x[52]+2*x[53]+3*x[55]+x[59]+2*x[60]+3*x[62]+2*x[63]+x[66]+4*x[74]+x[76]+x[86])*q^21 + (2*x[15]+5*x[17]+x[18]+3*x[20]+2*x[26]+3*x[28]+x[29]+5*x[35]+3*x[38]+3*x[39]+11*x[41]+8*x[44]+5*x[46]+7*x[47]+4*x[49]+x[51]+8*x[54]+x[57]+x[58]+x[61]+4*x[64]+3*x[67]+4*x[69]+4*x[70]+4*x[71]+x[73]+3*x[75]+2*x[77]+x[78]+2*x[80]+x[90])*q^20 + (x[14]+2*x[16]+5*x[19]+x[27]+4*x[30]+x[31]+3*x[32]+3*x[33]+2*x[34]+2*x[36]+3*x[37]+x[40]+8*x[42]+6*x[43]+11*x[45]+7*x[48]+8*x[50]+8*x[52]+5*x[53]+6*x[55]+3*x[56]+x[59]+3*x[60]+5*x[62]+3*x[63]+4*x[66]+x[68]+9*x[74]+4*x[76]+x[79]+3*x[81]+2*x[82]+x[86]+x[87]+x[88]+x[93])*q^19 + (2*x[17]+2*x[18]+4*x[20]+x[26]+2*x[28]+x[29]+5*x[35]+2*x[38]+3*x[39]+10*x[41]+7*x[44]+6*x[46]+9*x[47]+7*x[49]+4*x[51]+14*x[54]+x[58]+2*x[61]+7*x[64]+x[65]+5*x[67]+7*x[69]+5*x[70]+6*x[71]+x[72]+2*x[73]+4*x[75]+5*x[77]+5*x[78]+5*x[80]+3*x[83]+x[85]+3*x[90]+x[94]+x[95])*q^18 + (x[16]+3*x[19]+2*x[30]+x[31]+2*x[32]+3*x[33]+x[34]+2*x[36]+x[37]+x[40]+6*x[42]+5*x[43]+10*x[45]+8*x[48]+8*x[50]+8*x[52]+7*x[53]+9*x[55]+5*x[56]+x[59]+3*x[60]+5*x[62]+3*x[63]+7*x[66]+2*x[68]+14*x[74]+6*x[76]+x[79]+6*x[81]+6*x[82]+2*x[86]+x[87]+3*x[88]+x[91]+2*x[92]+4*x[93]+x[97])*q^17 + (x[17]+x[20]+x[28]+4*x[35]+2*x[39]+7*x[41]+5*x[44]+5*x[46]+8*x[47]+5*x[49]+3*x[51]+15*x[54]+x[58]+2*x[61]+6*x[64]+2*x[65]+7*x[67]+5*x[69]+6*x[70]+9*x[71]+x[72]+2*x[73]+6*x[75]+6*x[77]+7*x[78]+9*x[80]+5*x[83]+2*x[84]+x[85]+2*x[89]+5*x[90]+2*x[94]+5*x[95]+x[101])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[34]+x[36]+x[40]+3*x[42]+3*x[43]+6*x[45]+5*x[48]+8*x[50]+6*x[52]+6*x[53]+8*x[55]+5*x[56]+2*x[60]+4*x[62]+2*x[63]+7*x[66]+x[68]+14*x[74]+8*x[76]+3*x[79]+8*x[81]+9*x[82]+2*x[86]+2*x[87]+5*x[88]+2*x[91]+4*x[92]+5*x[93]+x[97]+3*x[98]+x[99]+x[103])*q^15 + (x[20]+2*x[35]+x[39]+3*x[41]+2*x[44]+2*x[46]+5*x[47]+4*x[49]+x[51]+12*x[54]+x[61]+5*x[64]+x[65]+6*x[67]+5*x[69]+3*x[70]+6*x[71]+2*x[72]+3*x[73]+4*x[75]+6*x[77]+9*x[78]+9*x[80]+7*x[83]+3*x[84]+x[85]+3*x[89]+6*x[90]+5*x[94]+7*x[95]+x[96]+x[100]+x[101]+x[105])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+3*x[48]+4*x[50]+3*x[52]+4*x[53]+5*x[55]+5*x[56]+x[60]+2*x[62]+x[63]+5*x[66]+x[68]+11*x[74]+5*x[76]+3*x[79]+8*x[81]+9*x[82]+2*x[86]+x[87]+5*x[88]+2*x[91]+6*x[92]+6*x[93]+3*x[97]+3*x[98]+3*x[99]+x[102]+2*x[103])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+2*x[51]+7*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+2*x[70]+5*x[71]+x[72]+x[73]+4*x[75]+3*x[77]+6*x[78]+7*x[80]+6*x[83]+5*x[84]+x[85]+3*x[89]+6*x[90]+4*x[94]+8*x[95]+2*x[96]+x[100]+2*x[101]+x[104]+x[105]+x[106])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+3*x[55]+3*x[56]+x[62]+3*x[66]+x[68]+6*x[74]+3*x[76]+2*x[79]+5*x[81]+7*x[82]+x[86]+x[87]+4*x[88]+x[91]+5*x[92]+6*x[93]+2*x[97]+4*x[98]+3*x[99]+x[102]+4*x[103])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+2*x[77]+4*x[78]+5*x[80]+4*x[83]+3*x[84]+2*x[89]+4*x[90]+3*x[94]+6*x[95]+x[96]+2*x[100]+2*x[101]+2*x[104]+4*x[105]+x[106])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+3*x[81]+4*x[82]+x[86]+2*x[88]+x[91]+4*x[92]+3*x[93]+2*x[97]+4*x[98]+2*x[99]+x[102]+4*x[103]+x[108])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+3*x[84]+x[89]+2*x[90]+2*x[94]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[106]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+2*x[99]+x[102]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+2*x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108]+x[109])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #5.2 : c = (1) |O_x_c^F| = 1/2*q^4*(q^4+1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,5,2] = (x[6]-x[7])*q^27 + (x[9]-x[15]+x[26])*q^26 + (-x[10]+x[11]+x[14]-x[19]+x[22]-x[23]-x[27]+x[30]+x[33])*q^25 + (x[8]+x[9]-x[15]+x[17]-x[18]-x[20]+2*x[26]+x[28]+x[35]-x[38]+x[41]-x[44]+x[58])*q^24 + (-x[10]+x[11]+x[14]+x[16]+x[24]-2*x[27]+3*x[30]-x[31]+x[32]+x[33]-x[34]+x[37]-x[42]-x[43]+x[45]-x[48]+x[50]-x[59]+2*x[62])*q^23 + (x[9]+x[13]-x[15]+2*x[17]-x[18]+x[20]+x[25]+2*x[26]+3*x[28]+2*x[35]-x[38]+x[39]+3*x[41]-3*x[44]-x[46]+x[49]-x[51]+x[58]+2*x[64]+x[67]+x[69]-x[70])*q^22 + (x[11]+x[14]+2*x[16]+x[24]-2*x[27]+4*x[30]-2*x[31]+2*x[32]+3*x[33]-x[34]+x[36]+x[37]+4*x[45]-2*x[48]+2*x[50]-x[52]-x[55]-x[59]+2*x[60]+3*x[62]-2*x[63]+x[66]+2*x[74]-x[76]+x[86])*q^21 + (3*x[17]-x[18]+x[20]+2*x[26]+3*x[28]+x[29]+5*x[35]-x[38]+3*x[39]+5*x[41]-4*x[44]+x[46]+x[47]+2*x[49]-x[51]+x[57]+x[58]+x[61]+4*x[64]+3*x[67]+2*x[69]-2*x[70]+2*x[71]-x[73]+x[75]-2*x[77]+x[78]+x[90])*q^20 + (x[14]+2*x[16]+x[19]-x[27]+4*x[30]-x[31]+3*x[32]+3*x[33]-2*x[34]+2*x[36]+x[37]+x[40]+7*x[45]-x[48]+4*x[50]+x[53]-2*x[55]+x[56]-x[59]+3*x[60]+5*x[62]-3*x[63]+4*x[66]-x[68]+5*x[74]-2*x[76]+x[79]-x[81]+x[86]-x[87]+x[88]+x[93])*q^19 + (2*x[17]+2*x[20]+x[26]+2*x[28]+x[29]+5*x[35]+3*x[39]+6*x[41]-3*x[44]+2*x[46]+3*x[47]+5*x[49]-2*x[51]+2*x[54]+x[58]+2*x[61]+7*x[64]+x[65]+5*x[67]+3*x[69]-3*x[70]+4*x[71]+x[72]-3*x[77]+3*x[78]+x[80]-x[83]+x[85]+3*x[90]-x[94]+x[95])*q^18 + (x[16]+x[19]+2*x[30]-x[31]+2*x[32]+3*x[33]-x[34]+2*x[36]+x[37]+x[40]+2*x[42]+x[43]+8*x[45]+6*x[50]+3*x[53]-x[55]+x[56]-x[59]+3*x[60]+5*x[62]-3*x[63]+7*x[66]-2*x[68]+8*x[74]-2*x[76]+x[79]-2*x[81]+2*x[82]+2*x[86]-x[87]+3*x[88]-x[91]+2*x[92]+2*x[93]-x[97])*q^17 + (x[17]+x[20]+x[28]+4*x[35]+2*x[39]+5*x[41]-x[44]+3*x[46]+4*x[47]+5*x[49]-x[51]+5*x[54]+x[58]+2*x[61]+6*x[64]+2*x[65]+7*x[67]+3*x[69]-2*x[70]+7*x[71]+x[72]+2*x[75]-4*x[77]+5*x[78]+x[80]-x[83]+x[85]+2*x[89]+5*x[90]-2*x[94]+3*x[95]+x[101])*q^16 + (x[19]+x[30]+x[32]+x[33]-x[34]+x[36]+x[40]+x[42]+x[43]+6*x[45]+x[48]+6*x[50]+2*x[52]+4*x[53]+3*x[56]+2*x[60]+4*x[62]-2*x[63]+7*x[66]-x[68]+10*x[74]+3*x[79]-2*x[81]+3*x[82]+2*x[86]-2*x[87]+5*x[88]-2*x[91]+4*x[92]+3*x[93]-x[97]+x[98]-x[99]+x[103])*q^15 + (x[20]+2*x[35]+x[39]+3*x[41]+2*x[46]+3*x[47]+4*x[49]-x[51]+6*x[54]+x[61]+5*x[64]+x[65]+6*x[67]+3*x[69]-x[70]+6*x[71]+2*x[72]+x[73]+2*x[75]-2*x[77]+7*x[78]+3*x[80]+x[83]-x[84]+x[85]+3*x[89]+6*x[90]-3*x[94]+5*x[95]+x[96]+x[100]+x[101]+x[105])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+x[48]+4*x[50]+x[52]+4*x[53]+x[55]+3*x[56]+x[60]+2*x[62]-x[63]+5*x[66]-x[68]+9*x[74]+x[76]+3*x[79]+5*x[82]+2*x[86]-x[87]+5*x[88]-2*x[91]+6*x[92]+4*x[93]-x[97]+x[98]-x[99]-x[102]+2*x[103])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+5*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+5*x[71]+x[72]+x[73]+2*x[75]-x[77]+6*x[78]+3*x[80]+2*x[83]+x[84]+x[85]+3*x[89]+6*x[90]-2*x[94]+6*x[95]+2*x[96]+x[100]+2*x[101]+x[104]+x[105]-x[106])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+x[55]+3*x[56]+x[62]+3*x[66]-x[68]+6*x[74]+x[76]+2*x[79]+x[81]+5*x[82]+x[86]-x[87]+4*x[88]-x[91]+5*x[92]+4*x[93]+2*x[98]-x[99]-x[102]+4*x[103])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+4*x[78]+3*x[80]+2*x[83]+x[84]+2*x[89]+4*x[90]-x[94]+6*x[95]+x[96]+2*x[100]+2*x[101]+2*x[104]+2*x[105]-x[106])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+x[81]+4*x[82]+x[86]+2*x[88]-x[91]+4*x[92]+3*x[93]+2*x[98]-x[102]+4*x[103]+x[108])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+x[84]+x[89]+2*x[90]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]-x[106]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]-x[102]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108]-x[109])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #6 : [2, 2, 2, 2, 2, 1, 1, 1, 1] dim = 50 A(O) = 1 , |A(O)_0| = 1 g_s = 15*V[2]+20*V[1]+20*V[0] Z_G(x)_0 = O5+Sp4 # Green Polys by orbit reps #6.1 : x[8] : [2, 2, 2, 2, 2, 1, 1, 1, 1],[] : [[1, 1, 1, 1, 1], [1, 1]] Qxi[C7,6,1] = (x[8])*q^24 + (x[11]+x[16]+x[24])*q^23 + (x[9]+x[13]+x[17]+x[20]+x[25]+2*x[28]+x[39])*q^22 + (x[11]+x[14]+2*x[16]+x[19]+x[24]+2*x[30]+2*x[32]+x[40]+2*x[45]+x[60])*q^21 + (x[15]+3*x[17]+x[20]+x[26]+3*x[28]+x[29]+3*x[35]+3*x[39]+2*x[41]+2*x[46]+x[47]+x[49]+x[57]+x[61]+x[64]+x[71])*q^20 + (x[14]+2*x[16]+2*x[19]+3*x[30]+3*x[32]+2*x[33]+2*x[36]+x[37]+x[40]+2*x[42]+x[43]+6*x[45]+x[48]+2*x[50]+2*x[53]+3*x[60]+x[62]+2*x[66]+x[74])*q^19 + (2*x[17]+x[18]+3*x[20]+x[26]+2*x[28]+x[29]+4*x[35]+x[38]+3*x[39]+5*x[41]+x[44]+3*x[46]+3*x[47]+5*x[49]+3*x[54]+2*x[61]+5*x[64]+x[65]+2*x[67]+x[69]+3*x[71]+x[72]+x[73]+x[78]+x[85])*q^18 + (x[16]+2*x[19]+2*x[30]+2*x[32]+2*x[33]+2*x[36]+x[37]+x[40]+3*x[42]+2*x[43]+8*x[45]+3*x[48]+5*x[50]+2*x[52]+4*x[53]+x[55]+2*x[56]+3*x[60]+3*x[62]+6*x[66]+5*x[74]+x[76]+x[79]+x[82]+2*x[88])*q^17 + (x[17]+x[20]+x[28]+4*x[35]+2*x[39]+5*x[41]+2*x[44]+4*x[46]+5*x[47]+5*x[49]+x[51]+7*x[54]+x[58]+2*x[61]+5*x[64]+2*x[65]+5*x[67]+2*x[69]+x[70]+7*x[71]+x[72]+x[73]+2*x[75]+4*x[78]+x[80]+x[83]+x[85]+2*x[89]+2*x[90]+x[95])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[36]+x[40]+2*x[42]+2*x[43]+6*x[45]+3*x[48]+6*x[50]+3*x[52]+5*x[53]+3*x[55]+3*x[56]+2*x[60]+3*x[62]+7*x[66]+9*x[74]+3*x[76]+2*x[79]+x[81]+4*x[82]+x[86]+4*x[88]+3*x[92]+x[93])*q^15 + (x[20]+2*x[35]+x[39]+3*x[41]+x[44]+2*x[46]+4*x[47]+4*x[49]+8*x[54]+x[61]+5*x[64]+x[65]+5*x[67]+3*x[69]+x[70]+6*x[71]+2*x[72]+2*x[73]+2*x[75]+2*x[77]+7*x[78]+4*x[80]+3*x[83]+x[85]+3*x[89]+4*x[90]+4*x[95]+x[96]+x[100])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+2*x[48]+4*x[50]+2*x[52]+4*x[53]+3*x[55]+4*x[56]+x[60]+2*x[62]+5*x[66]+9*x[74]+3*x[76]+3*x[79]+3*x[81]+6*x[82]+x[86]+5*x[88]+5*x[92]+3*x[93]+x[97]+x[98]+x[103])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+x[51]+6*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+x[70]+5*x[71]+x[72]+x[73]+3*x[75]+x[77]+6*x[78]+4*x[80]+4*x[83]+2*x[84]+x[85]+3*x[89]+5*x[90]+x[94]+6*x[95]+2*x[96]+x[100]+x[101]+x[104])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+6*x[74]+2*x[76]+2*x[79]+3*x[81]+6*x[82]+x[86]+4*x[88]+5*x[92]+4*x[93]+x[97]+2*x[98]+x[99]+3*x[103])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+4*x[80]+3*x[83]+2*x[84]+2*x[89]+4*x[90]+x[94]+6*x[95]+x[96]+2*x[100]+x[101]+2*x[104]+2*x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+x[97]+3*x[98]+x[99]+4*x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # 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^4+1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,6,1] = (x[8])*q^24 + (x[11]+x[16]+x[24])*q^23 + (x[9]+x[13]+x[17]+x[20]+x[25]+2*x[28]+x[39])*q^22 + (x[11]+x[14]+2*x[16]+x[19]+x[24]+2*x[30]+2*x[32]+x[40]+2*x[45]+x[60])*q^21 + (x[15]+3*x[17]+x[20]+x[26]+3*x[28]+x[29]+3*x[35]+3*x[39]+2*x[41]+2*x[46]+x[47]+x[49]+x[57]+x[61]+x[64]+x[71])*q^20 + (x[14]+2*x[16]+2*x[19]+3*x[30]+3*x[32]+2*x[33]+2*x[36]+x[37]+x[40]+2*x[42]+x[43]+6*x[45]+x[48]+2*x[50]+2*x[53]+3*x[60]+x[62]+2*x[66]+x[74])*q^19 + (2*x[17]+x[18]+3*x[20]+x[26]+2*x[28]+x[29]+4*x[35]+x[38]+3*x[39]+5*x[41]+x[44]+3*x[46]+3*x[47]+5*x[49]+3*x[54]+2*x[61]+5*x[64]+x[65]+2*x[67]+x[69]+3*x[71]+x[72]+x[73]+x[78]+x[85])*q^18 + (x[16]+2*x[19]+2*x[30]+2*x[32]+2*x[33]+2*x[36]+x[37]+x[40]+3*x[42]+2*x[43]+8*x[45]+3*x[48]+5*x[50]+2*x[52]+4*x[53]+x[55]+2*x[56]+3*x[60]+3*x[62]+6*x[66]+5*x[74]+x[76]+x[79]+x[82]+2*x[88])*q^17 + (x[17]+x[20]+x[28]+4*x[35]+2*x[39]+5*x[41]+2*x[44]+4*x[46]+5*x[47]+5*x[49]+x[51]+7*x[54]+x[58]+2*x[61]+5*x[64]+2*x[65]+5*x[67]+2*x[69]+x[70]+7*x[71]+x[72]+x[73]+2*x[75]+4*x[78]+x[80]+x[83]+x[85]+2*x[89]+2*x[90]+x[95])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[36]+x[40]+2*x[42]+2*x[43]+6*x[45]+3*x[48]+6*x[50]+3*x[52]+5*x[53]+3*x[55]+3*x[56]+2*x[60]+3*x[62]+7*x[66]+9*x[74]+3*x[76]+2*x[79]+x[81]+4*x[82]+x[86]+4*x[88]+3*x[92]+x[93])*q^15 + (x[20]+2*x[35]+x[39]+3*x[41]+x[44]+2*x[46]+4*x[47]+4*x[49]+8*x[54]+x[61]+5*x[64]+x[65]+5*x[67]+3*x[69]+x[70]+6*x[71]+2*x[72]+2*x[73]+2*x[75]+2*x[77]+7*x[78]+4*x[80]+3*x[83]+x[85]+3*x[89]+4*x[90]+4*x[95]+x[96]+x[100])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+2*x[48]+4*x[50]+2*x[52]+4*x[53]+3*x[55]+4*x[56]+x[60]+2*x[62]+5*x[66]+9*x[74]+3*x[76]+3*x[79]+3*x[81]+6*x[82]+x[86]+5*x[88]+5*x[92]+3*x[93]+x[97]+x[98]+x[103])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+x[51]+6*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+x[70]+5*x[71]+x[72]+x[73]+3*x[75]+x[77]+6*x[78]+4*x[80]+4*x[83]+2*x[84]+x[85]+3*x[89]+5*x[90]+x[94]+6*x[95]+2*x[96]+x[100]+x[101]+x[104])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+6*x[74]+2*x[76]+2*x[79]+3*x[81]+6*x[82]+x[86]+4*x[88]+5*x[92]+4*x[93]+x[97]+2*x[98]+x[99]+3*x[103])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+4*x[80]+3*x[83]+2*x[84]+2*x[89]+4*x[90]+x[94]+6*x[95]+x[96]+2*x[100]+x[101]+2*x[104]+2*x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+x[97]+3*x[98]+x[99]+4*x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #7 : [2, 2, 2, 2, 2, 2, 1, 1] dim = 54 A(O) = Z2 , |A(O)_0| = 2 g_s = 21*V[2]+12*V[1]+18*V[0] Z_G(x)_0 = Sp2+O6 # Green Polys by orbit reps #7.1 : x[9] : [2, 2, 2, 2, 2, 2, 1, 1],[1] : [[1, 1, 1], [1, 1, 1, 1]] Qxi[C7,7,1] = (x[9])*q^22 + (x[11]+x[14]+x[30])*q^21 + (x[15]+2*x[17]+x[26]+x[28]+x[35]+x[41])*q^20 + (x[14]+x[16]+2*x[19]+2*x[30]+x[32]+x[33]+x[36]+x[37]+x[42]+x[43]+2*x[45]+x[50]+x[62])*q^19 + (2*x[17]+x[18]+2*x[20]+x[26]+x[28]+x[29]+2*x[35]+x[38]+x[39]+4*x[41]+x[44]+x[46]+2*x[47]+2*x[49]+x[54]+2*x[64]+x[67]+x[69])*q^18 + (x[16]+2*x[19]+2*x[30]+x[32]+2*x[33]+x[36]+x[37]+3*x[42]+2*x[43]+5*x[45]+2*x[48]+3*x[50]+2*x[52]+x[53]+x[55]+x[56]+x[60]+2*x[62]+2*x[66]+3*x[74])*q^17 + (x[17]+x[20]+x[28]+3*x[35]+x[39]+5*x[41]+2*x[44]+3*x[46]+4*x[47]+3*x[49]+x[51]+5*x[54]+x[58]+x[61]+3*x[64]+x[65]+3*x[67]+2*x[69]+x[70]+3*x[71]+2*x[75]+2*x[78]+x[80]+x[90])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[36]+x[40]+2*x[42]+2*x[43]+5*x[45]+3*x[48]+5*x[50]+3*x[52]+3*x[53]+3*x[55]+2*x[56]+x[60]+3*x[62]+4*x[66]+7*x[74]+2*x[76]+x[79]+x[81]+2*x[82]+x[86]+x[88]+x[92]+x[93])*q^15 + (x[20]+2*x[35]+x[39]+3*x[41]+x[44]+2*x[46]+4*x[47]+3*x[49]+7*x[54]+x[61]+4*x[64]+x[65]+4*x[67]+3*x[69]+x[70]+4*x[71]+x[72]+x[73]+2*x[75]+2*x[77]+5*x[78]+4*x[80]+2*x[83]+x[89]+3*x[90]+2*x[95])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+2*x[48]+4*x[50]+2*x[52]+3*x[53]+3*x[55]+3*x[56]+x[60]+2*x[62]+4*x[66]+8*x[74]+3*x[76]+2*x[79]+3*x[81]+5*x[82]+x[86]+3*x[88]+3*x[92]+3*x[93]+x[98])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+x[51]+6*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+x[70]+4*x[71]+x[72]+x[73]+3*x[75]+x[77]+5*x[78]+4*x[80]+3*x[83]+2*x[84]+x[85]+2*x[89]+4*x[90]+x[94]+5*x[95]+x[96]+x[101])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+6*x[74]+2*x[76]+2*x[79]+3*x[81]+5*x[82]+x[86]+3*x[88]+4*x[92]+4*x[93]+x[97]+2*x[98]+x[99]+2*x[103])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+4*x[80]+3*x[83]+2*x[84]+2*x[89]+4*x[90]+x[94]+5*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+x[97]+3*x[98]+x[99]+3*x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #7.2 : x[10] : [2, 2, 2, 2, 2, 2, 1, 1],[-1] : [[], [2, 2, 2, 1]] Qxi[C7,7,2] = (x[10])*q^22 + (x[15]+x[18])*q^21 + (x[14]+x[19]+x[27]+x[31]+x[43])*q^20 + (x[15]+x[17]+x[18]+x[38]+x[41]+2*x[44]+x[47])*q^19 + (2*x[19]+x[27]+x[31]+x[34]+x[37]+2*x[42]+2*x[43]+x[45]+x[48]+x[50]+x[52]+x[55]+x[63])*q^18 + (x[18]+x[20]+x[38]+2*x[41]+4*x[44]+x[46]+2*x[47]+x[49]+x[51]+2*x[54]+x[69]+x[70]+x[75]+x[77])*q^17 + (x[19]+x[31]+x[34]+2*x[42]+2*x[43]+x[45]+3*x[48]+x[50]+3*x[52]+x[53]+3*x[55]+x[56]+x[59]+2*x[63]+x[68]+2*x[74]+x[76]+x[81])*q^16 + (x[41]+3*x[44]+x[46]+2*x[47]+2*x[51]+4*x[54]+x[69]+3*x[70]+x[71]+2*x[75]+3*x[77]+x[78]+2*x[80]+x[83])*q^15 + (x[34]+x[42]+x[43]+2*x[48]+x[50]+2*x[52]+x[53]+4*x[55]+x[56]+2*x[63]+x[68]+2*x[74]+3*x[76]+3*x[81]+2*x[82]+x[87]+x[91]+x[93])*q^14 + (x[44]+x[47]+x[51]+3*x[54]+x[69]+2*x[70]+x[73]+x[75]+4*x[77]+x[78]+3*x[80]+2*x[83]+x[84]+2*x[94]+x[95])*q^13 + (x[48]+x[52]+2*x[55]+x[56]+x[63]+x[68]+x[74]+2*x[76]+4*x[81]+2*x[82]+x[87]+2*x[91]+x[93]+x[97]+x[98]+x[99])*q^12 + (x[51]+x[54]+x[70]+x[75]+2*x[77]+2*x[80]+2*x[83]+2*x[84]+3*x[94]+x[95])*q^11 + (x[55]+x[68]+x[76]+2*x[81]+x[82]+x[87]+x[91]+x[93]+x[97]+x[98]+2*x[99]+x[102])*q^10 + (x[77]+x[80]+x[83]+x[84]+2*x[94]+x[105]+x[106])*q^9 + (x[81]+x[91]+x[97]+x[98]+x[99]+x[102])*q^8 + (x[84]+x[94]+x[106])*q^7 + (x[99]+x[102])*q^6 + (x[106])*q^5 + (x[109])*q^4 # Green Polys by conj class in A(O) #7.1 : c = () |O_x_c^F| = 1/2*q^9*(q^2+1)*(q^3+1)*(q^4+1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,7,1] = (x[9]+x[10])*q^22 + (x[11]+x[14]+x[15]+x[18]+x[30])*q^21 + (x[14]+x[15]+2*x[17]+x[19]+x[26]+x[27]+x[28]+x[31]+x[35]+x[41]+x[43])*q^20 + (x[14]+x[15]+x[16]+x[17]+x[18]+2*x[19]+2*x[30]+x[32]+x[33]+x[36]+x[37]+x[38]+x[41]+x[42]+x[43]+2*x[44]+2*x[45]+x[47]+x[50]+x[62])*q^19 + (2*x[17]+x[18]+2*x[19]+2*x[20]+x[26]+x[27]+x[28]+x[29]+x[31]+x[34]+2*x[35]+x[37]+x[38]+x[39]+4*x[41]+2*x[42]+2*x[43]+x[44]+x[45]+x[46]+2*x[47]+x[48]+2*x[49]+x[50]+x[52]+x[54]+x[55]+x[63]+2*x[64]+x[67]+x[69])*q^18 + (x[16]+x[18]+2*x[19]+x[20]+2*x[30]+x[32]+2*x[33]+x[36]+x[37]+x[38]+2*x[41]+3*x[42]+2*x[43]+4*x[44]+5*x[45]+x[46]+2*x[47]+2*x[48]+x[49]+3*x[50]+x[51]+2*x[52]+x[53]+2*x[54]+x[55]+x[56]+x[60]+2*x[62]+2*x[66]+x[69]+x[70]+3*x[74]+x[75]+x[77])*q^17 + (x[17]+x[19]+x[20]+x[28]+x[31]+x[34]+3*x[35]+x[39]+5*x[41]+2*x[42]+2*x[43]+2*x[44]+x[45]+3*x[46]+4*x[47]+3*x[48]+3*x[49]+x[50]+x[51]+3*x[52]+x[53]+5*x[54]+3*x[55]+x[56]+x[58]+x[59]+x[61]+2*x[63]+3*x[64]+x[65]+3*x[67]+x[68]+2*x[69]+x[70]+3*x[71]+2*x[74]+2*x[75]+x[76]+2*x[78]+x[80]+x[81]+x[90])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[36]+x[40]+x[41]+2*x[42]+2*x[43]+3*x[44]+5*x[45]+x[46]+2*x[47]+3*x[48]+5*x[50]+2*x[51]+3*x[52]+3*x[53]+4*x[54]+3*x[55]+2*x[56]+x[60]+3*x[62]+4*x[66]+x[69]+3*x[70]+x[71]+7*x[74]+2*x[75]+2*x[76]+3*x[77]+x[78]+x[79]+2*x[80]+x[81]+2*x[82]+x[83]+x[86]+x[88]+x[92]+x[93])*q^15 + (x[20]+x[34]+2*x[35]+x[39]+3*x[41]+x[42]+x[43]+x[44]+2*x[46]+4*x[47]+2*x[48]+3*x[49]+x[50]+2*x[52]+x[53]+7*x[54]+4*x[55]+x[56]+x[61]+2*x[63]+4*x[64]+x[65]+4*x[67]+x[68]+3*x[69]+x[70]+4*x[71]+x[72]+x[73]+2*x[74]+2*x[75]+3*x[76]+2*x[77]+5*x[78]+4*x[80]+3*x[81]+2*x[82]+2*x[83]+x[87]+x[89]+3*x[90]+x[91]+x[93]+2*x[95])*q^14 + (x[33]+x[36]+x[42]+x[43]+x[44]+3*x[45]+x[47]+2*x[48]+4*x[50]+x[51]+2*x[52]+3*x[53]+3*x[54]+3*x[55]+3*x[56]+x[60]+2*x[62]+4*x[66]+x[69]+2*x[70]+x[73]+8*x[74]+x[75]+3*x[76]+4*x[77]+x[78]+2*x[79]+3*x[80]+3*x[81]+5*x[82]+2*x[83]+x[84]+x[86]+3*x[88]+3*x[92]+3*x[93]+2*x[94]+x[95]+x[98])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+x[48]+2*x[49]+x[51]+x[52]+6*x[54]+2*x[55]+x[56]+x[63]+2*x[64]+x[65]+4*x[67]+x[68]+2*x[69]+x[70]+4*x[71]+x[72]+x[73]+x[74]+3*x[75]+2*x[76]+x[77]+5*x[78]+4*x[80]+4*x[81]+2*x[82]+3*x[83]+2*x[84]+x[85]+x[87]+2*x[89]+4*x[90]+2*x[91]+x[93]+x[94]+5*x[95]+x[96]+x[97]+x[98]+x[99]+x[101])*q^12 + (x[45]+x[48]+2*x[50]+x[51]+x[52]+2*x[53]+x[54]+2*x[55]+3*x[56]+x[62]+3*x[66]+x[70]+6*x[74]+x[75]+2*x[76]+2*x[77]+2*x[79]+2*x[80]+3*x[81]+5*x[82]+2*x[83]+2*x[84]+x[86]+3*x[88]+4*x[92]+4*x[93]+3*x[94]+x[95]+x[97]+2*x[98]+x[99]+2*x[103])*q^11 + (x[47]+x[49]+3*x[54]+x[55]+x[64]+2*x[67]+x[68]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[76]+x[77]+4*x[78]+4*x[80]+2*x[81]+x[82]+3*x[83]+2*x[84]+x[87]+2*x[89]+4*x[90]+x[91]+x[93]+x[94]+5*x[95]+x[96]+x[97]+x[98]+2*x[99]+x[100]+x[101]+x[102]+x[104]+2*x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[77]+x[79]+x[80]+2*x[81]+4*x[82]+x[83]+x[84]+x[86]+2*x[88]+4*x[92]+3*x[93]+2*x[94]+x[97]+3*x[98]+x[99]+3*x[103]+x[105]+x[106])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[81]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[91]+x[94]+4*x[95]+x[96]+x[97]+x[98]+x[99]+x[100]+2*x[101]+x[102]+2*x[104]+2*x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[84]+x[88]+2*x[92]+2*x[93]+x[94]+x[97]+2*x[98]+x[99]+3*x[103]+x[106]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[99]+x[100]+x[101]+x[102]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[106]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107]+x[109])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #7.2 : c = (1) |O_x_c^F| = 1/2*q^9*(q^2+1)*(q^3-1)*(q^4+1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,7,2] = (x[9]-x[10])*q^22 + (x[11]+x[14]-x[15]-x[18]+x[30])*q^21 + (-x[14]+x[15]+2*x[17]-x[19]+x[26]-x[27]+x[28]-x[31]+x[35]+x[41]-x[43])*q^20 + (x[14]-x[15]+x[16]-x[17]-x[18]+2*x[19]+2*x[30]+x[32]+x[33]+x[36]+x[37]-x[38]-x[41]+x[42]+x[43]-2*x[44]+2*x[45]-x[47]+x[50]+x[62])*q^19 + (2*x[17]+x[18]-2*x[19]+2*x[20]+x[26]-x[27]+x[28]+x[29]-x[31]-x[34]+2*x[35]-x[37]+x[38]+x[39]+4*x[41]-2*x[42]-2*x[43]+x[44]-x[45]+x[46]+2*x[47]-x[48]+2*x[49]-x[50]-x[52]+x[54]-x[55]-x[63]+2*x[64]+x[67]+x[69])*q^18 + (x[16]-x[18]+2*x[19]-x[20]+2*x[30]+x[32]+2*x[33]+x[36]+x[37]-x[38]-2*x[41]+3*x[42]+2*x[43]-4*x[44]+5*x[45]-x[46]-2*x[47]+2*x[48]-x[49]+3*x[50]-x[51]+2*x[52]+x[53]-2*x[54]+x[55]+x[56]+x[60]+2*x[62]+2*x[66]-x[69]-x[70]+3*x[74]-x[75]-x[77])*q^17 + (x[17]-x[19]+x[20]+x[28]-x[31]-x[34]+3*x[35]+x[39]+5*x[41]-2*x[42]-2*x[43]+2*x[44]-x[45]+3*x[46]+4*x[47]-3*x[48]+3*x[49]-x[50]+x[51]-3*x[52]-x[53]+5*x[54]-3*x[55]-x[56]+x[58]-x[59]+x[61]-2*x[63]+3*x[64]+x[65]+3*x[67]-x[68]+2*x[69]+x[70]+3*x[71]-2*x[74]+2*x[75]-x[76]+2*x[78]+x[80]-x[81]+x[90])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[36]+x[40]-x[41]+2*x[42]+2*x[43]-3*x[44]+5*x[45]-x[46]-2*x[47]+3*x[48]+5*x[50]-2*x[51]+3*x[52]+3*x[53]-4*x[54]+3*x[55]+2*x[56]+x[60]+3*x[62]+4*x[66]-x[69]-3*x[70]-x[71]+7*x[74]-2*x[75]+2*x[76]-3*x[77]-x[78]+x[79]-2*x[80]+x[81]+2*x[82]-x[83]+x[86]+x[88]+x[92]+x[93])*q^15 + (x[20]-x[34]+2*x[35]+x[39]+3*x[41]-x[42]-x[43]+x[44]+2*x[46]+4*x[47]-2*x[48]+3*x[49]-x[50]-2*x[52]-x[53]+7*x[54]-4*x[55]-x[56]+x[61]-2*x[63]+4*x[64]+x[65]+4*x[67]-x[68]+3*x[69]+x[70]+4*x[71]+x[72]+x[73]-2*x[74]+2*x[75]-3*x[76]+2*x[77]+5*x[78]+4*x[80]-3*x[81]-2*x[82]+2*x[83]-x[87]+x[89]+3*x[90]-x[91]-x[93]+2*x[95])*q^14 + (x[33]+x[36]+x[42]+x[43]-x[44]+3*x[45]-x[47]+2*x[48]+4*x[50]-x[51]+2*x[52]+3*x[53]-3*x[54]+3*x[55]+3*x[56]+x[60]+2*x[62]+4*x[66]-x[69]-2*x[70]-x[73]+8*x[74]-x[75]+3*x[76]-4*x[77]-x[78]+2*x[79]-3*x[80]+3*x[81]+5*x[82]-2*x[83]-x[84]+x[86]+3*x[88]+3*x[92]+3*x[93]-2*x[94]-x[95]+x[98])*q^13 + (x[35]+x[41]+x[46]+2*x[47]-x[48]+2*x[49]+x[51]-x[52]+6*x[54]-2*x[55]-x[56]-x[63]+2*x[64]+x[65]+4*x[67]-x[68]+2*x[69]+x[70]+4*x[71]+x[72]+x[73]-x[74]+3*x[75]-2*x[76]+x[77]+5*x[78]+4*x[80]-4*x[81]-2*x[82]+3*x[83]+2*x[84]+x[85]-x[87]+2*x[89]+4*x[90]-2*x[91]-x[93]+x[94]+5*x[95]+x[96]-x[97]-x[98]-x[99]+x[101])*q^12 + (x[45]+x[48]+2*x[50]-x[51]+x[52]+2*x[53]-x[54]+2*x[55]+3*x[56]+x[62]+3*x[66]-x[70]+6*x[74]-x[75]+2*x[76]-2*x[77]+2*x[79]-2*x[80]+3*x[81]+5*x[82]-2*x[83]-2*x[84]+x[86]+3*x[88]+4*x[92]+4*x[93]-3*x[94]-x[95]+x[97]+2*x[98]+x[99]+2*x[103])*q^11 + (x[47]+x[49]+3*x[54]-x[55]+x[64]+2*x[67]-x[68]+x[69]+2*x[71]+x[72]+x[73]+x[75]-x[76]+x[77]+4*x[78]+4*x[80]-2*x[81]-x[82]+3*x[83]+2*x[84]-x[87]+2*x[89]+4*x[90]-x[91]-x[93]+x[94]+5*x[95]+x[96]-x[97]-x[98]-2*x[99]+x[100]+x[101]-x[102]+x[104]+2*x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]-x[77]+x[79]-x[80]+2*x[81]+4*x[82]-x[83]-x[84]+x[86]+2*x[88]+4*x[92]+3*x[93]-2*x[94]+x[97]+3*x[98]+x[99]+3*x[103]-x[105]-x[106])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]-x[81]+2*x[83]+2*x[84]+x[89]+2*x[90]-x[91]+x[94]+4*x[95]+x[96]-x[97]-x[98]-x[99]+x[100]+2*x[101]-x[102]+2*x[104]+2*x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]-x[84]+x[88]+2*x[92]+2*x[93]-x[94]+x[97]+2*x[98]+x[99]+3*x[103]-x[106]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]-x[99]+x[100]+x[101]-x[102]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]-x[106]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107]-x[109])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #8 : [2, 2, 2, 2, 2, 2, 2] dim = 56 A(O) = 1 , |A(O)_0| = 1 g_s = 28*V[2]+21*V[0] Z_G(x)_0 = O7 # Green Polys by orbit reps #8.1 : x[11] : [2, 2, 2, 2, 2, 2, 2],[] : [[1, 1, 1, 1], [1, 1, 1]] Qxi[C7,8,1] = (x[11])*q^21 + (x[17]+x[28])*q^20 + (x[16]+x[19]+x[30]+x[32]+x[45])*q^19 + (x[17]+x[18]+x[20]+x[28]+x[29]+x[35]+x[39]+x[41]+x[46]+x[47]+x[49]+x[64])*q^18 + (x[16]+x[19]+x[30]+x[32]+x[33]+x[36]+x[42]+x[43]+3*x[45]+x[48]+x[50]+x[53]+x[60]+x[66]+x[74])*q^17 + (x[17]+x[20]+x[28]+2*x[35]+x[39]+2*x[41]+x[44]+2*x[46]+2*x[47]+2*x[49]+2*x[54]+x[61]+2*x[64]+x[65]+x[67]+2*x[71]+x[75]+x[78])*q^16 + (x[19]+x[30]+x[32]+x[36]+x[40]+x[42]+x[43]+4*x[45]+2*x[48]+3*x[50]+x[52]+2*x[53]+x[55]+x[56]+x[60]+x[62]+3*x[66]+3*x[74]+x[76]+x[79]+x[82]+x[88])*q^15 + (x[20]+2*x[35]+x[39]+2*x[41]+x[44]+2*x[46]+3*x[47]+3*x[49]+4*x[54]+x[61]+3*x[64]+x[65]+2*x[67]+x[69]+3*x[71]+x[72]+x[73]+x[75]+x[77]+3*x[78]+x[80]+x[83]+x[89]+x[90]+x[95])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+2*x[48]+3*x[50]+x[52]+3*x[53]+2*x[55]+2*x[56]+x[60]+x[62]+4*x[66]+5*x[74]+2*x[76]+x[79]+x[81]+3*x[82]+2*x[88]+2*x[92]+x[93])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+x[51]+5*x[54]+2*x[64]+x[65]+3*x[67]+x[69]+x[70]+4*x[71]+x[72]+x[73]+2*x[75]+x[77]+4*x[78]+2*x[80]+2*x[83]+x[84]+x[85]+2*x[89]+2*x[90]+3*x[95]+x[96])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+5*x[74]+2*x[76]+2*x[79]+2*x[81]+4*x[82]+3*x[88]+3*x[92]+2*x[93]+x[97]+x[98]+x[103])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+3*x[80]+3*x[83]+x[84]+2*x[89]+3*x[90]+x[94]+4*x[95]+x[96]+x[100]+x[104]+x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]+x[86]+2*x[88]+4*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+2*x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[100]+x[101]+2*x[104]+x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #8.1 : c = () |O_x_c^F| = q^12*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,8,1] = (x[11])*q^21 + (x[17]+x[28])*q^20 + (x[16]+x[19]+x[30]+x[32]+x[45])*q^19 + (x[17]+x[18]+x[20]+x[28]+x[29]+x[35]+x[39]+x[41]+x[46]+x[47]+x[49]+x[64])*q^18 + (x[16]+x[19]+x[30]+x[32]+x[33]+x[36]+x[42]+x[43]+3*x[45]+x[48]+x[50]+x[53]+x[60]+x[66]+x[74])*q^17 + (x[17]+x[20]+x[28]+2*x[35]+x[39]+2*x[41]+x[44]+2*x[46]+2*x[47]+2*x[49]+2*x[54]+x[61]+2*x[64]+x[65]+x[67]+2*x[71]+x[75]+x[78])*q^16 + (x[19]+x[30]+x[32]+x[36]+x[40]+x[42]+x[43]+4*x[45]+2*x[48]+3*x[50]+x[52]+2*x[53]+x[55]+x[56]+x[60]+x[62]+3*x[66]+3*x[74]+x[76]+x[79]+x[82]+x[88])*q^15 + (x[20]+2*x[35]+x[39]+2*x[41]+x[44]+2*x[46]+3*x[47]+3*x[49]+4*x[54]+x[61]+3*x[64]+x[65]+2*x[67]+x[69]+3*x[71]+x[72]+x[73]+x[75]+x[77]+3*x[78]+x[80]+x[83]+x[89]+x[90]+x[95])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+2*x[48]+3*x[50]+x[52]+3*x[53]+2*x[55]+2*x[56]+x[60]+x[62]+4*x[66]+5*x[74]+2*x[76]+x[79]+x[81]+3*x[82]+2*x[88]+2*x[92]+x[93])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+x[51]+5*x[54]+2*x[64]+x[65]+3*x[67]+x[69]+x[70]+4*x[71]+x[72]+x[73]+2*x[75]+x[77]+4*x[78]+2*x[80]+2*x[83]+x[84]+x[85]+2*x[89]+2*x[90]+3*x[95]+x[96])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+5*x[74]+2*x[76]+2*x[79]+2*x[81]+4*x[82]+3*x[88]+3*x[92]+2*x[93]+x[97]+x[98]+x[103])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+3*x[80]+3*x[83]+x[84]+2*x[89]+3*x[90]+x[94]+4*x[95]+x[96]+x[100]+x[104]+x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]+x[86]+2*x[88]+4*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+2*x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[100]+x[101]+2*x[104]+x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #9 : [3, 3, 1, 1, 1, 1, 1, 1, 1, 1] dim = 46 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[4]+17*V[2]+39*V[0] Z_G(x)_0 = Sp8+Sp2 # Green Polys by orbit reps #9.1 : x[12] : [3, 3, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[1], [2, 1, 1, 1, 1]] Qxi[C7,9,1] = (x[12])*q^26 + (x[14]+x[22]+x[23]+x[37])*q^25 + (x[15]+x[17]+x[26]+2*x[38]+x[41]+x[58])*q^24 + (x[14]+x[16]+x[19]+x[27]+x[30]+2*x[37]+2*x[42]+x[43]+x[45]+x[52]+x[59]+x[62])*q^23 + (x[13]+x[15]+x[17]+x[18]+x[20]+x[26]+x[28]+2*x[38]+x[39]+3*x[41]+2*x[44]+2*x[46]+x[47]+x[54]+x[58]+x[64]+2*x[69]+x[70])*q^22 + (x[14]+x[16]+2*x[19]+x[24]+x[27]+x[30]+x[31]+x[33]+2*x[37]+2*x[40]+3*x[42]+3*x[43]+3*x[45]+2*x[48]+x[50]+3*x[52]+x[53]+x[55]+x[59]+x[60]+2*x[62]+x[63]+2*x[74]+x[76]+x[86])*q^21 + (x[15]+2*x[17]+x[20]+x[26]+x[28]+x[35]+2*x[38]+2*x[39]+5*x[41]+4*x[44]+3*x[46]+3*x[47]+x[49]+4*x[54]+x[57]+x[58]+2*x[64]+x[67]+3*x[69]+3*x[70]+2*x[71]+x[73]+2*x[75]+x[77]+x[80]+x[90])*q^20 + (x[14]+x[16]+2*x[19]+x[27]+2*x[30]+x[32]+x[33]+x[34]+2*x[37]+x[40]+5*x[42]+3*x[43]+5*x[45]+3*x[48]+3*x[50]+5*x[52]+3*x[53]+3*x[55]+x[56]+x[59]+2*x[60]+3*x[62]+2*x[63]+x[66]+5*x[74]+3*x[76]+2*x[81]+x[82]+x[86]+x[87]+x[88]+x[93])*q^19 + (x[17]+x[18]+2*x[20]+x[26]+x[28]+2*x[35]+2*x[38]+2*x[39]+6*x[41]+4*x[44]+4*x[46]+4*x[47]+3*x[49]+2*x[51]+8*x[54]+x[58]+x[61]+4*x[64]+2*x[67]+5*x[69]+4*x[70]+3*x[71]+2*x[73]+2*x[75]+3*x[77]+2*x[78]+3*x[80]+2*x[83]+x[85]+2*x[90]+x[94]+x[95])*q^18 + (x[16]+2*x[19]+x[30]+x[31]+x[32]+2*x[33]+x[34]+x[36]+x[37]+x[40]+4*x[42]+3*x[43]+6*x[45]+5*x[48]+4*x[50]+6*x[52]+5*x[53]+5*x[55]+3*x[56]+x[59]+2*x[60]+4*x[62]+2*x[63]+3*x[66]+x[68]+8*x[74]+5*x[76]+4*x[81]+3*x[82]+2*x[86]+x[87]+2*x[88]+x[91]+x[92]+3*x[93]+x[97])*q^17 + (x[17]+x[20]+x[28]+2*x[35]+2*x[39]+5*x[41]+4*x[44]+4*x[46]+5*x[47]+3*x[49]+2*x[51]+10*x[54]+x[58]+x[61]+4*x[64]+x[65]+4*x[67]+4*x[69]+5*x[70]+6*x[71]+2*x[73]+4*x[75]+4*x[77]+3*x[78]+6*x[80]+4*x[83]+x[84]+x[85]+x[89]+4*x[90]+2*x[94]+3*x[95]+x[101])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[34]+x[40]+3*x[42]+2*x[43]+5*x[45]+4*x[48]+5*x[50]+5*x[52]+5*x[53]+6*x[55]+3*x[56]+2*x[60]+3*x[62]+2*x[63]+4*x[66]+x[68]+10*x[74]+6*x[76]+x[79]+6*x[81]+6*x[82]+2*x[86]+2*x[87]+4*x[88]+x[91]+2*x[92]+4*x[93]+x[97]+2*x[98]+x[99]+x[103])*q^15 + (x[20]+2*x[35]+x[39]+3*x[41]+2*x[44]+2*x[46]+4*x[47]+3*x[49]+x[51]+10*x[54]+x[61]+4*x[64]+4*x[67]+4*x[69]+3*x[70]+5*x[71]+x[72]+3*x[73]+3*x[75]+5*x[77]+6*x[78]+7*x[80]+5*x[83]+2*x[84]+x[85]+2*x[89]+5*x[90]+4*x[94]+5*x[95]+x[100]+x[101]+x[105])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+3*x[48]+4*x[50]+3*x[52]+4*x[53]+4*x[55]+4*x[56]+x[60]+2*x[62]+x[63]+4*x[66]+x[68]+9*x[74]+5*x[76]+2*x[79]+7*x[81]+7*x[82]+2*x[86]+x[87]+4*x[88]+2*x[91]+4*x[92]+5*x[93]+3*x[97]+2*x[98]+2*x[99]+x[102]+2*x[103])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+2*x[51]+7*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+2*x[70]+5*x[71]+x[72]+x[73]+3*x[75]+3*x[77]+5*x[78]+6*x[80]+6*x[83]+4*x[84]+x[85]+2*x[89]+5*x[90]+4*x[94]+6*x[95]+x[96]+x[100]+2*x[101]+x[104]+x[105]+x[106])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+3*x[55]+3*x[56]+x[62]+3*x[66]+x[68]+6*x[74]+3*x[76]+2*x[79]+5*x[81]+7*x[82]+x[86]+x[87]+4*x[88]+x[91]+4*x[92]+5*x[93]+2*x[97]+3*x[98]+3*x[99]+x[102]+3*x[103])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+2*x[77]+4*x[78]+5*x[80]+4*x[83]+3*x[84]+2*x[89]+4*x[90]+3*x[94]+6*x[95]+x[96]+2*x[100]+2*x[101]+x[104]+3*x[105]+x[106])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+3*x[81]+4*x[82]+x[86]+2*x[88]+x[91]+4*x[92]+3*x[93]+2*x[97]+4*x[98]+2*x[99]+x[102]+4*x[103]+x[108])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+3*x[84]+x[89]+2*x[90]+2*x[94]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[106]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+2*x[99]+x[102]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+2*x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108]+x[109])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #9.1 : c = () |O_x_c^F| = q^12*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^12-1)*(q^14-1) Qxc[C7,9,1] = (x[12])*q^26 + (x[14]+x[22]+x[23]+x[37])*q^25 + (x[15]+x[17]+x[26]+2*x[38]+x[41]+x[58])*q^24 + (x[14]+x[16]+x[19]+x[27]+x[30]+2*x[37]+2*x[42]+x[43]+x[45]+x[52]+x[59]+x[62])*q^23 + (x[13]+x[15]+x[17]+x[18]+x[20]+x[26]+x[28]+2*x[38]+x[39]+3*x[41]+2*x[44]+2*x[46]+x[47]+x[54]+x[58]+x[64]+2*x[69]+x[70])*q^22 + (x[14]+x[16]+2*x[19]+x[24]+x[27]+x[30]+x[31]+x[33]+2*x[37]+2*x[40]+3*x[42]+3*x[43]+3*x[45]+2*x[48]+x[50]+3*x[52]+x[53]+x[55]+x[59]+x[60]+2*x[62]+x[63]+2*x[74]+x[76]+x[86])*q^21 + (x[15]+2*x[17]+x[20]+x[26]+x[28]+x[35]+2*x[38]+2*x[39]+5*x[41]+4*x[44]+3*x[46]+3*x[47]+x[49]+4*x[54]+x[57]+x[58]+2*x[64]+x[67]+3*x[69]+3*x[70]+2*x[71]+x[73]+2*x[75]+x[77]+x[80]+x[90])*q^20 + (x[14]+x[16]+2*x[19]+x[27]+2*x[30]+x[32]+x[33]+x[34]+2*x[37]+x[40]+5*x[42]+3*x[43]+5*x[45]+3*x[48]+3*x[50]+5*x[52]+3*x[53]+3*x[55]+x[56]+x[59]+2*x[60]+3*x[62]+2*x[63]+x[66]+5*x[74]+3*x[76]+2*x[81]+x[82]+x[86]+x[87]+x[88]+x[93])*q^19 + (x[17]+x[18]+2*x[20]+x[26]+x[28]+2*x[35]+2*x[38]+2*x[39]+6*x[41]+4*x[44]+4*x[46]+4*x[47]+3*x[49]+2*x[51]+8*x[54]+x[58]+x[61]+4*x[64]+2*x[67]+5*x[69]+4*x[70]+3*x[71]+2*x[73]+2*x[75]+3*x[77]+2*x[78]+3*x[80]+2*x[83]+x[85]+2*x[90]+x[94]+x[95])*q^18 + (x[16]+2*x[19]+x[30]+x[31]+x[32]+2*x[33]+x[34]+x[36]+x[37]+x[40]+4*x[42]+3*x[43]+6*x[45]+5*x[48]+4*x[50]+6*x[52]+5*x[53]+5*x[55]+3*x[56]+x[59]+2*x[60]+4*x[62]+2*x[63]+3*x[66]+x[68]+8*x[74]+5*x[76]+4*x[81]+3*x[82]+2*x[86]+x[87]+2*x[88]+x[91]+x[92]+3*x[93]+x[97])*q^17 + (x[17]+x[20]+x[28]+2*x[35]+2*x[39]+5*x[41]+4*x[44]+4*x[46]+5*x[47]+3*x[49]+2*x[51]+10*x[54]+x[58]+x[61]+4*x[64]+x[65]+4*x[67]+4*x[69]+5*x[70]+6*x[71]+2*x[73]+4*x[75]+4*x[77]+3*x[78]+6*x[80]+4*x[83]+x[84]+x[85]+x[89]+4*x[90]+2*x[94]+3*x[95]+x[101])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[34]+x[40]+3*x[42]+2*x[43]+5*x[45]+4*x[48]+5*x[50]+5*x[52]+5*x[53]+6*x[55]+3*x[56]+2*x[60]+3*x[62]+2*x[63]+4*x[66]+x[68]+10*x[74]+6*x[76]+x[79]+6*x[81]+6*x[82]+2*x[86]+2*x[87]+4*x[88]+x[91]+2*x[92]+4*x[93]+x[97]+2*x[98]+x[99]+x[103])*q^15 + (x[20]+2*x[35]+x[39]+3*x[41]+2*x[44]+2*x[46]+4*x[47]+3*x[49]+x[51]+10*x[54]+x[61]+4*x[64]+4*x[67]+4*x[69]+3*x[70]+5*x[71]+x[72]+3*x[73]+3*x[75]+5*x[77]+6*x[78]+7*x[80]+5*x[83]+2*x[84]+x[85]+2*x[89]+5*x[90]+4*x[94]+5*x[95]+x[100]+x[101]+x[105])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+3*x[48]+4*x[50]+3*x[52]+4*x[53]+4*x[55]+4*x[56]+x[60]+2*x[62]+x[63]+4*x[66]+x[68]+9*x[74]+5*x[76]+2*x[79]+7*x[81]+7*x[82]+2*x[86]+x[87]+4*x[88]+2*x[91]+4*x[92]+5*x[93]+3*x[97]+2*x[98]+2*x[99]+x[102]+2*x[103])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+2*x[51]+7*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+2*x[70]+5*x[71]+x[72]+x[73]+3*x[75]+3*x[77]+5*x[78]+6*x[80]+6*x[83]+4*x[84]+x[85]+2*x[89]+5*x[90]+4*x[94]+6*x[95]+x[96]+x[100]+2*x[101]+x[104]+x[105]+x[106])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+3*x[55]+3*x[56]+x[62]+3*x[66]+x[68]+6*x[74]+3*x[76]+2*x[79]+5*x[81]+7*x[82]+x[86]+x[87]+4*x[88]+x[91]+4*x[92]+5*x[93]+2*x[97]+3*x[98]+3*x[99]+x[102]+3*x[103])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+2*x[77]+4*x[78]+5*x[80]+4*x[83]+3*x[84]+2*x[89]+4*x[90]+3*x[94]+6*x[95]+x[96]+2*x[100]+2*x[101]+x[104]+3*x[105]+x[106])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+3*x[81]+4*x[82]+x[86]+2*x[88]+x[91]+4*x[92]+3*x[93]+2*x[97]+4*x[98]+2*x[99]+x[102]+4*x[103]+x[108])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+3*x[84]+x[89]+2*x[90]+2*x[94]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[106]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+2*x[99]+x[102]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+2*x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108]+x[109])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #10 : [3, 3, 2, 1, 1, 1, 1, 1, 1] dim = 54 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[4]+2*V[3]+14*V[2]+8*V[1]+24*V[0] Z_G(x)_0 = Sp6+O1+Sp2 # Green Polys by orbit reps #10.1 : x[13] : [3, 3, 2, 1, 1, 1, 1, 1, 1],[] : [[1, 1, 1, 1, 1], [2]] Qxi[C7,10,1] = (x[13])*q^22 + (x[16]+x[24]+x[40])*q^21 + (x[17]+x[28]+2*x[39]+x[46]+x[57])*q^20 + (x[14]+x[16]+x[30]+x[32]+x[40]+x[42]+2*x[45]+x[53]+2*x[60])*q^19 + (x[17]+x[20]+x[26]+x[28]+x[35]+x[38]+2*x[39]+2*x[41]+2*x[46]+2*x[49]+x[54]+x[61]+2*x[64]+x[71]+x[73]+x[85])*q^18 + (x[16]+x[19]+x[30]+x[32]+x[33]+x[36]+x[37]+x[40]+2*x[42]+4*x[45]+x[48]+2*x[50]+x[52]+3*x[53]+x[56]+2*x[60]+2*x[62]+2*x[66]+x[74]+x[76]+x[88])*q^17 + (x[17]+x[20]+x[28]+2*x[35]+2*x[39]+3*x[41]+x[44]+3*x[46]+2*x[47]+3*x[49]+4*x[54]+x[58]+x[61]+3*x[64]+x[65]+2*x[67]+x[69]+x[70]+4*x[71]+x[73]+x[78]+x[83]+x[85]+x[89]+x[90])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[40]+2*x[42]+x[43]+5*x[45]+2*x[48]+3*x[50]+2*x[52]+4*x[53]+x[55]+2*x[56]+2*x[60]+2*x[62]+4*x[66]+5*x[74]+2*x[76]+x[81]+2*x[82]+x[86]+3*x[88]+x[92])*q^15 + (x[20]+2*x[35]+x[39]+3*x[41]+x[44]+2*x[46]+3*x[47]+3*x[49]+6*x[54]+x[61]+4*x[64]+3*x[67]+2*x[69]+x[70]+5*x[71]+x[72]+2*x[73]+x[75]+x[77]+4*x[78]+2*x[80]+2*x[83]+x[85]+2*x[89]+3*x[90]+2*x[95]+x[100])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+2*x[48]+4*x[50]+2*x[52]+4*x[53]+2*x[55]+3*x[56]+x[60]+2*x[62]+4*x[66]+7*x[74]+3*x[76]+2*x[79]+2*x[81]+4*x[82]+x[86]+4*x[88]+3*x[92]+2*x[93]+x[97]+x[103])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+x[51]+6*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+x[70]+5*x[71]+x[72]+x[73]+2*x[75]+x[77]+5*x[78]+3*x[80]+4*x[83]+x[84]+x[85]+2*x[89]+4*x[90]+x[94]+4*x[95]+x[96]+x[100]+x[101]+x[104])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+6*x[74]+2*x[76]+2*x[79]+3*x[81]+6*x[82]+x[86]+4*x[88]+4*x[92]+3*x[93]+x[97]+x[98]+x[99]+2*x[103])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+4*x[80]+3*x[83]+2*x[84]+2*x[89]+4*x[90]+x[94]+6*x[95]+x[96]+2*x[100]+x[101]+x[104]+x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+x[97]+3*x[98]+x[99]+4*x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #10.1 : c = () |O_x_c^F| = q^12*(q^2+1)*(q^4+1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,10,1] = (x[13])*q^22 + (x[16]+x[24]+x[40])*q^21 + (x[17]+x[28]+2*x[39]+x[46]+x[57])*q^20 + (x[14]+x[16]+x[30]+x[32]+x[40]+x[42]+2*x[45]+x[53]+2*x[60])*q^19 + (x[17]+x[20]+x[26]+x[28]+x[35]+x[38]+2*x[39]+2*x[41]+2*x[46]+2*x[49]+x[54]+x[61]+2*x[64]+x[71]+x[73]+x[85])*q^18 + (x[16]+x[19]+x[30]+x[32]+x[33]+x[36]+x[37]+x[40]+2*x[42]+4*x[45]+x[48]+2*x[50]+x[52]+3*x[53]+x[56]+2*x[60]+2*x[62]+2*x[66]+x[74]+x[76]+x[88])*q^17 + (x[17]+x[20]+x[28]+2*x[35]+2*x[39]+3*x[41]+x[44]+3*x[46]+2*x[47]+3*x[49]+4*x[54]+x[58]+x[61]+3*x[64]+x[65]+2*x[67]+x[69]+x[70]+4*x[71]+x[73]+x[78]+x[83]+x[85]+x[89]+x[90])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[40]+2*x[42]+x[43]+5*x[45]+2*x[48]+3*x[50]+2*x[52]+4*x[53]+x[55]+2*x[56]+2*x[60]+2*x[62]+4*x[66]+5*x[74]+2*x[76]+x[81]+2*x[82]+x[86]+3*x[88]+x[92])*q^15 + (x[20]+2*x[35]+x[39]+3*x[41]+x[44]+2*x[46]+3*x[47]+3*x[49]+6*x[54]+x[61]+4*x[64]+3*x[67]+2*x[69]+x[70]+5*x[71]+x[72]+2*x[73]+x[75]+x[77]+4*x[78]+2*x[80]+2*x[83]+x[85]+2*x[89]+3*x[90]+2*x[95]+x[100])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+2*x[48]+4*x[50]+2*x[52]+4*x[53]+2*x[55]+3*x[56]+x[60]+2*x[62]+4*x[66]+7*x[74]+3*x[76]+2*x[79]+2*x[81]+4*x[82]+x[86]+4*x[88]+3*x[92]+2*x[93]+x[97]+x[103])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+x[51]+6*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+x[70]+5*x[71]+x[72]+x[73]+2*x[75]+x[77]+5*x[78]+3*x[80]+4*x[83]+x[84]+x[85]+2*x[89]+4*x[90]+x[94]+4*x[95]+x[96]+x[100]+x[101]+x[104])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+6*x[74]+2*x[76]+2*x[79]+3*x[81]+6*x[82]+x[86]+4*x[88]+4*x[92]+3*x[93]+x[97]+x[98]+x[99]+2*x[103])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+4*x[80]+3*x[83]+2*x[84]+2*x[89]+4*x[90]+x[94]+6*x[95]+x[96]+2*x[100]+x[101]+x[104]+x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+x[97]+3*x[98]+x[99]+4*x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #11 : [3, 3, 2, 2, 1, 1, 1, 1] dim = 60 A(O) = Z2 , |A(O)_0| = 2 g_s = 3*V[4]+4*V[3]+12*V[2]+12*V[1]+14*V[0] Z_G(x)_0 = Sp4+O2+Sp2 # Green Polys by orbit reps #11.1 : x[14] : [3, 3, 2, 2, 1, 1, 1, 1],[1] : [[1, 1], [2, 1, 1, 1]] Qxi[C7,11,1] = (x[14])*q^19 + (x[17]+x[26]+x[38]+x[41])*q^18 + (x[16]+x[19]+x[30]+x[33]+x[37]+2*x[42]+x[45]+x[50]+x[52]+x[62])*q^17 + (x[17]+x[20]+x[28]+x[35]+x[39]+3*x[41]+x[44]+2*x[46]+x[47]+x[49]+2*x[54]+x[58]+x[64]+x[67]+x[69]+x[70])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[40]+2*x[42]+x[43]+4*x[45]+2*x[48]+2*x[50]+2*x[52]+2*x[53]+x[55]+x[56]+x[60]+2*x[62]+x[66]+3*x[74]+x[76]+x[81]+x[86])*q^15 + (x[20]+2*x[35]+x[39]+3*x[41]+x[44]+2*x[46]+3*x[47]+2*x[49]+5*x[54]+x[61]+3*x[64]+2*x[67]+2*x[69]+x[70]+3*x[71]+x[73]+x[75]+x[77]+2*x[78]+2*x[80]+x[83]+2*x[90])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+2*x[48]+4*x[50]+2*x[52]+3*x[53]+2*x[55]+2*x[56]+x[60]+2*x[62]+3*x[66]+6*x[74]+3*x[76]+x[79]+2*x[81]+3*x[82]+x[86]+2*x[88]+x[92]+2*x[93])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+x[51]+6*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+x[70]+4*x[71]+x[72]+x[73]+2*x[75]+x[77]+4*x[78]+3*x[80]+3*x[83]+x[84]+x[85]+x[89]+3*x[90]+x[94]+3*x[95]+x[101])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+6*x[74]+2*x[76]+2*x[79]+3*x[81]+5*x[82]+x[86]+3*x[88]+3*x[92]+3*x[93]+x[97]+x[98]+x[99]+x[103])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+4*x[80]+3*x[83]+2*x[84]+2*x[89]+4*x[90]+x[94]+5*x[95]+x[96]+x[100]+x[101]+x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+x[97]+3*x[98]+x[99]+3*x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #11.2 : x[15] : [3, 3, 2, 2, 1, 1, 1, 1],[-1] : [[1], [2, 2, 1, 1]] Qxi[C7,11,2] = (x[15])*q^19 + (x[19]+x[27]+x[37]+x[43])*q^18 + (x[18]+x[20]+x[38]+x[41]+2*x[44]+x[47]+x[69])*q^17 + (x[19]+x[31]+x[34]+x[42]+2*x[43]+x[45]+2*x[48]+2*x[52]+x[55]+x[59]+x[63]+x[74])*q^16 + (x[41]+3*x[44]+x[46]+2*x[47]+2*x[51]+2*x[54]+x[69]+2*x[70]+x[71]+2*x[75]+x[77]+x[80])*q^15 + (x[34]+x[42]+x[43]+2*x[48]+x[50]+2*x[52]+x[53]+4*x[55]+2*x[63]+x[68]+2*x[74]+2*x[76]+x[81]+x[82]+x[87]+x[93])*q^14 + (x[44]+x[47]+x[51]+3*x[54]+x[69]+2*x[70]+x[73]+x[75]+4*x[77]+x[78]+3*x[80]+x[83]+x[94]+x[95])*q^13 + (x[48]+x[52]+2*x[55]+x[56]+x[63]+x[68]+x[74]+2*x[76]+4*x[81]+2*x[82]+x[87]+2*x[91]+x[93]+x[97]+x[98])*q^12 + (x[51]+x[54]+x[70]+x[75]+2*x[77]+2*x[80]+2*x[83]+2*x[84]+3*x[94]+x[95])*q^11 + (x[55]+x[68]+x[76]+2*x[81]+x[82]+x[87]+x[91]+x[93]+x[97]+x[98]+2*x[99]+x[102])*q^10 + (x[77]+x[80]+x[83]+x[84]+2*x[94]+x[105]+x[106])*q^9 + (x[81]+x[91]+x[97]+x[98]+x[99]+x[102])*q^8 + (x[84]+x[94]+x[106])*q^7 + (x[99]+x[102])*q^6 + (x[106])*q^5 + (x[109])*q^4 # Green Polys by conj class in A(O) #11.1 : c = () |O_x_c^F| = 1/2*q^13*(q^2+q+1)*(q^2+1)*(q^3+1)*(q^4+1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,11,1] = (x[14]+x[15])*q^19 + (x[17]+x[19]+x[26]+x[27]+x[37]+x[38]+x[41]+x[43])*q^18 + (x[16]+x[18]+x[19]+x[20]+x[30]+x[33]+x[37]+x[38]+x[41]+2*x[42]+2*x[44]+x[45]+x[47]+x[50]+x[52]+x[62]+x[69])*q^17 + (x[17]+x[19]+x[20]+x[28]+x[31]+x[34]+x[35]+x[39]+3*x[41]+x[42]+2*x[43]+x[44]+x[45]+2*x[46]+x[47]+2*x[48]+x[49]+2*x[52]+2*x[54]+x[55]+x[58]+x[59]+x[63]+x[64]+x[67]+x[69]+x[70]+x[74])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[40]+x[41]+2*x[42]+x[43]+3*x[44]+4*x[45]+x[46]+2*x[47]+2*x[48]+2*x[50]+2*x[51]+2*x[52]+2*x[53]+2*x[54]+x[55]+x[56]+x[60]+2*x[62]+x[66]+x[69]+2*x[70]+x[71]+3*x[74]+2*x[75]+x[76]+x[77]+x[80]+x[81]+x[86])*q^15 + (x[20]+x[34]+2*x[35]+x[39]+3*x[41]+x[42]+x[43]+x[44]+2*x[46]+3*x[47]+2*x[48]+2*x[49]+x[50]+2*x[52]+x[53]+5*x[54]+4*x[55]+x[61]+2*x[63]+3*x[64]+2*x[67]+x[68]+2*x[69]+x[70]+3*x[71]+x[73]+2*x[74]+x[75]+2*x[76]+x[77]+2*x[78]+2*x[80]+x[81]+x[82]+x[83]+x[87]+2*x[90]+x[93])*q^14 + (x[33]+x[36]+x[42]+x[43]+x[44]+3*x[45]+x[47]+2*x[48]+4*x[50]+x[51]+2*x[52]+3*x[53]+3*x[54]+2*x[55]+2*x[56]+x[60]+2*x[62]+3*x[66]+x[69]+2*x[70]+x[73]+6*x[74]+x[75]+3*x[76]+4*x[77]+x[78]+x[79]+3*x[80]+2*x[81]+3*x[82]+x[83]+x[86]+2*x[88]+x[92]+2*x[93]+x[94]+x[95])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+x[48]+2*x[49]+x[51]+x[52]+6*x[54]+2*x[55]+x[56]+x[63]+2*x[64]+x[65]+4*x[67]+x[68]+2*x[69]+x[70]+4*x[71]+x[72]+x[73]+x[74]+2*x[75]+2*x[76]+x[77]+4*x[78]+3*x[80]+4*x[81]+2*x[82]+3*x[83]+x[84]+x[85]+x[87]+x[89]+3*x[90]+2*x[91]+x[93]+x[94]+3*x[95]+x[97]+x[98]+x[101])*q^12 + (x[45]+x[48]+2*x[50]+x[51]+x[52]+2*x[53]+x[54]+2*x[55]+3*x[56]+x[62]+3*x[66]+x[70]+6*x[74]+x[75]+2*x[76]+2*x[77]+2*x[79]+2*x[80]+3*x[81]+5*x[82]+2*x[83]+2*x[84]+x[86]+3*x[88]+3*x[92]+3*x[93]+3*x[94]+x[95]+x[97]+x[98]+x[99]+x[103])*q^11 + (x[47]+x[49]+3*x[54]+x[55]+x[64]+2*x[67]+x[68]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[76]+x[77]+4*x[78]+4*x[80]+2*x[81]+x[82]+3*x[83]+2*x[84]+x[87]+2*x[89]+4*x[90]+x[91]+x[93]+x[94]+5*x[95]+x[96]+x[97]+x[98]+2*x[99]+x[100]+x[101]+x[102]+x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[77]+x[79]+x[80]+2*x[81]+4*x[82]+x[83]+x[84]+x[86]+2*x[88]+4*x[92]+3*x[93]+2*x[94]+x[97]+3*x[98]+x[99]+3*x[103]+x[105]+x[106])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[81]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[91]+x[94]+4*x[95]+x[96]+x[97]+x[98]+x[99]+x[100]+2*x[101]+x[102]+2*x[104]+2*x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[84]+x[88]+2*x[92]+2*x[93]+x[94]+x[97]+2*x[98]+x[99]+3*x[103]+x[106]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[99]+x[100]+x[101]+x[102]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[106]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107]+x[109])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #11.2 : c = (1) |O_x_c^F| = 1/2*q^13*(q^2-q+1)*(q^2+1)*(q^3-1)*(q^4+1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,11,2] = (x[14]-x[15])*q^19 + (x[17]-x[19]+x[26]-x[27]-x[37]+x[38]+x[41]-x[43])*q^18 + (x[16]-x[18]+x[19]-x[20]+x[30]+x[33]+x[37]-x[38]-x[41]+2*x[42]-2*x[44]+x[45]-x[47]+x[50]+x[52]+x[62]-x[69])*q^17 + (x[17]-x[19]+x[20]+x[28]-x[31]-x[34]+x[35]+x[39]+3*x[41]-x[42]-2*x[43]+x[44]-x[45]+2*x[46]+x[47]-2*x[48]+x[49]-2*x[52]+2*x[54]-x[55]+x[58]-x[59]-x[63]+x[64]+x[67]+x[69]+x[70]-x[74])*q^16 + (x[19]+x[30]+x[32]+x[33]+x[40]-x[41]+2*x[42]+x[43]-3*x[44]+4*x[45]-x[46]-2*x[47]+2*x[48]+2*x[50]-2*x[51]+2*x[52]+2*x[53]-2*x[54]+x[55]+x[56]+x[60]+2*x[62]+x[66]-x[69]-2*x[70]-x[71]+3*x[74]-2*x[75]+x[76]-x[77]-x[80]+x[81]+x[86])*q^15 + (x[20]-x[34]+2*x[35]+x[39]+3*x[41]-x[42]-x[43]+x[44]+2*x[46]+3*x[47]-2*x[48]+2*x[49]-x[50]-2*x[52]-x[53]+5*x[54]-4*x[55]+x[61]-2*x[63]+3*x[64]+2*x[67]-x[68]+2*x[69]+x[70]+3*x[71]+x[73]-2*x[74]+x[75]-2*x[76]+x[77]+2*x[78]+2*x[80]-x[81]-x[82]+x[83]-x[87]+2*x[90]-x[93])*q^14 + (x[33]+x[36]+x[42]+x[43]-x[44]+3*x[45]-x[47]+2*x[48]+4*x[50]-x[51]+2*x[52]+3*x[53]-3*x[54]+2*x[55]+2*x[56]+x[60]+2*x[62]+3*x[66]-x[69]-2*x[70]-x[73]+6*x[74]-x[75]+3*x[76]-4*x[77]-x[78]+x[79]-3*x[80]+2*x[81]+3*x[82]-x[83]+x[86]+2*x[88]+x[92]+2*x[93]-x[94]-x[95])*q^13 + (x[35]+x[41]+x[46]+2*x[47]-x[48]+2*x[49]+x[51]-x[52]+6*x[54]-2*x[55]-x[56]-x[63]+2*x[64]+x[65]+4*x[67]-x[68]+2*x[69]+x[70]+4*x[71]+x[72]+x[73]-x[74]+2*x[75]-2*x[76]+x[77]+4*x[78]+3*x[80]-4*x[81]-2*x[82]+3*x[83]+x[84]+x[85]-x[87]+x[89]+3*x[90]-2*x[91]-x[93]+x[94]+3*x[95]-x[97]-x[98]+x[101])*q^12 + (x[45]+x[48]+2*x[50]-x[51]+x[52]+2*x[53]-x[54]+2*x[55]+3*x[56]+x[62]+3*x[66]-x[70]+6*x[74]-x[75]+2*x[76]-2*x[77]+2*x[79]-2*x[80]+3*x[81]+5*x[82]-2*x[83]-2*x[84]+x[86]+3*x[88]+3*x[92]+3*x[93]-3*x[94]-x[95]+x[97]+x[98]+x[99]+x[103])*q^11 + (x[47]+x[49]+3*x[54]-x[55]+x[64]+2*x[67]-x[68]+x[69]+2*x[71]+x[72]+x[73]+x[75]-x[76]+x[77]+4*x[78]+4*x[80]-2*x[81]-x[82]+3*x[83]+2*x[84]-x[87]+2*x[89]+4*x[90]-x[91]-x[93]+x[94]+5*x[95]+x[96]-x[97]-x[98]-2*x[99]+x[100]+x[101]-x[102]+x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]-x[77]+x[79]-x[80]+2*x[81]+4*x[82]-x[83]-x[84]+x[86]+2*x[88]+4*x[92]+3*x[93]-2*x[94]+x[97]+3*x[98]+x[99]+3*x[103]-x[105]-x[106])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]-x[81]+2*x[83]+2*x[84]+x[89]+2*x[90]-x[91]+x[94]+4*x[95]+x[96]-x[97]-x[98]-x[99]+x[100]+2*x[101]-x[102]+2*x[104]+2*x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]-x[84]+x[88]+2*x[92]+2*x[93]-x[94]+x[97]+2*x[98]+x[99]+3*x[103]-x[106]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]-x[99]+x[100]+x[101]-x[102]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]-x[106]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107]-x[109])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #12 : [3, 3, 2, 2, 2, 1, 1] dim = 64 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[4]+6*V[3]+11*V[2]+12*V[1]+9*V[0] Z_G(x)_0 = O3+2*Sp2 # Green Polys by orbit reps #12.1 : x[16] : [3, 3, 2, 2, 2, 1, 1],[] : [[1, 1, 1, 1], [2, 1]] Qxi[C7,12,1] = (x[16])*q^17 + (x[17]+x[20]+x[28]+x[39]+x[46])*q^16 + (x[19]+x[30]+x[32]+x[40]+x[42]+3*x[45]+x[48]+x[53]+x[60])*q^15 + (x[20]+2*x[35]+x[39]+2*x[41]+x[44]+2*x[46]+2*x[47]+2*x[49]+2*x[54]+x[61]+2*x[64]+2*x[71]+x[73])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+2*x[48]+3*x[50]+x[52]+3*x[53]+x[55]+x[56]+x[60]+x[62]+3*x[66]+3*x[74]+2*x[76]+x[82]+x[88])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+x[51]+5*x[54]+2*x[64]+x[65]+3*x[67]+x[69]+x[70]+4*x[71]+x[72]+x[73]+x[75]+x[77]+3*x[78]+x[80]+2*x[83]+x[85]+x[89]+x[90]+x[95])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+5*x[74]+2*x[76]+2*x[79]+2*x[81]+4*x[82]+3*x[88]+2*x[92]+x[93]+x[97])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+3*x[80]+3*x[83]+x[84]+2*x[89]+3*x[90]+x[94]+4*x[95]+x[96]+x[100])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]+x[86]+2*x[88]+4*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+2*x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[100]+x[101]+2*x[104]+x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #12.1 : c = () |O_x_c^F| = q^14*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,12,1] = (x[16])*q^17 + (x[17]+x[20]+x[28]+x[39]+x[46])*q^16 + (x[19]+x[30]+x[32]+x[40]+x[42]+3*x[45]+x[48]+x[53]+x[60])*q^15 + (x[20]+2*x[35]+x[39]+2*x[41]+x[44]+2*x[46]+2*x[47]+2*x[49]+2*x[54]+x[61]+2*x[64]+2*x[71]+x[73])*q^14 + (x[33]+x[36]+x[42]+x[43]+3*x[45]+2*x[48]+3*x[50]+x[52]+3*x[53]+x[55]+x[56]+x[60]+x[62]+3*x[66]+3*x[74]+2*x[76]+x[82]+x[88])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+2*x[49]+x[51]+5*x[54]+2*x[64]+x[65]+3*x[67]+x[69]+x[70]+4*x[71]+x[72]+x[73]+x[75]+x[77]+3*x[78]+x[80]+2*x[83]+x[85]+x[89]+x[90]+x[95])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+2*x[53]+2*x[55]+3*x[56]+x[62]+3*x[66]+5*x[74]+2*x[76]+2*x[79]+2*x[81]+4*x[82]+3*x[88]+2*x[92]+x[93]+x[97])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[73]+x[75]+x[77]+4*x[78]+3*x[80]+3*x[83]+x[84]+2*x[89]+3*x[90]+x[94]+4*x[95]+x[96]+x[100])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+4*x[82]+x[86]+2*x[88]+4*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+2*x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[100]+x[101]+2*x[104]+x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+3*x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #13 : [3, 3, 2, 2, 2, 2] dim = 66 A(O) = Z2 , |A(O)_0| = 2 g_s = 3*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 #13.1 : x[17] : [3, 3, 2, 2, 2, 2],[1] : [[1, 1, 1], [2, 1, 1]] Qxi[C7,13,1] = (x[17])*q^16 + (x[19]+x[30]+x[42]+x[45])*q^15 + (x[20]+x[35]+2*x[41]+x[44]+x[46]+x[47]+x[49]+x[54]+x[64])*q^14 + (x[33]+x[36]+x[42]+x[43]+2*x[45]+2*x[48]+2*x[50]+x[52]+x[53]+x[55]+x[56]+x[62]+x[66]+2*x[74]+x[76])*q^13 + (x[35]+x[41]+x[46]+2*x[47]+x[49]+x[51]+4*x[54]+x[64]+x[65]+2*x[67]+x[69]+x[70]+2*x[71]+x[75]+x[77]+2*x[78]+x[80]+x[83]+x[90])*q^12 + (x[45]+x[48]+2*x[50]+x[52]+x[53]+2*x[55]+2*x[56]+x[62]+2*x[66]+4*x[74]+2*x[76]+x[79]+2*x[81]+3*x[82]+x[88]+x[92]+x[93])*q^11 + (x[47]+x[49]+3*x[54]+x[64]+2*x[67]+x[69]+x[71]+x[72]+x[73]+x[75]+x[77]+3*x[78]+3*x[80]+2*x[83]+x[84]+x[89]+2*x[90]+x[94]+3*x[95])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[76]+x[79]+2*x[81]+3*x[82]+x[86]+x[88]+3*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[94]+3*x[95]+x[96]+x[101]+x[104]+x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99]+2*x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #13.2 : x[18] : [3, 3, 2, 2, 2, 2],[-1] : [[1], [2, 2, 2]] Qxi[C7,13,2] = (x[18])*q^16 + (x[19]+x[31]+x[43])*q^15 + (x[41]+2*x[44]+x[47]+x[75])*q^14 + (x[34]+x[42]+x[43]+x[48]+x[50]+x[52]+2*x[55]+x[63]+x[74])*q^13 + (x[44]+x[47]+x[51]+2*x[54]+x[69]+x[70]+x[75]+2*x[77]+x[78]+x[80])*q^12 + (x[48]+x[52]+2*x[55]+x[56]+x[63]+x[68]+x[74]+x[76]+2*x[81]+x[82]+x[91]+x[93])*q^11 + (x[51]+x[54]+x[70]+x[75]+2*x[77]+2*x[80]+x[83]+x[84]+x[94]+x[95])*q^10 + (x[55]+x[68]+x[76]+2*x[81]+x[82]+x[87]+x[91]+x[93]+x[98]+x[99])*q^9 + (x[77]+x[80]+x[83]+x[84]+2*x[94]+x[105])*q^8 + (x[81]+x[91]+x[97]+x[98]+x[99]+x[102])*q^7 + (x[84]+x[94]+x[106])*q^6 + (x[99]+x[102])*q^5 + (x[106])*q^4 + (x[109])*q^3 # Green Polys by conj class in A(O) #13.1 : c = () |O_x_c^F| = 1/2*q^16*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,13,1] = (x[17]+x[18])*q^16 + (2*x[19]+x[30]+x[31]+x[42]+x[43]+x[45])*q^15 + (x[20]+x[35]+3*x[41]+3*x[44]+x[46]+2*x[47]+x[49]+x[54]+x[64]+x[75])*q^14 + (x[33]+x[34]+x[36]+2*x[42]+2*x[43]+2*x[45]+3*x[48]+3*x[50]+2*x[52]+x[53]+3*x[55]+x[56]+x[62]+x[63]+x[66]+3*x[74]+x[76])*q^13 + (x[35]+x[41]+x[44]+x[46]+3*x[47]+x[49]+2*x[51]+6*x[54]+x[64]+x[65]+2*x[67]+2*x[69]+2*x[70]+2*x[71]+2*x[75]+3*x[77]+3*x[78]+2*x[80]+x[83]+x[90])*q^12 + (x[45]+2*x[48]+2*x[50]+2*x[52]+x[53]+4*x[55]+3*x[56]+x[62]+x[63]+2*x[66]+x[68]+5*x[74]+3*x[76]+x[79]+4*x[81]+4*x[82]+x[88]+x[91]+x[92]+2*x[93])*q^11 + (x[47]+x[49]+x[51]+4*x[54]+x[64]+2*x[67]+x[69]+x[70]+x[71]+x[72]+x[73]+2*x[75]+3*x[77]+3*x[78]+5*x[80]+3*x[83]+2*x[84]+x[89]+2*x[90]+2*x[94]+4*x[95])*q^10 + (x[50]+x[53]+2*x[55]+x[56]+x[66]+x[68]+3*x[74]+2*x[76]+x[79]+4*x[81]+4*x[82]+x[86]+x[87]+x[88]+x[91]+3*x[92]+3*x[93]+x[97]+3*x[98]+2*x[99]+x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+x[77]+2*x[78]+3*x[80]+3*x[83]+3*x[84]+x[89]+2*x[90]+3*x[94]+3*x[95]+x[96]+x[101]+x[104]+2*x[105])*q^8 + (x[56]+x[74]+x[79]+2*x[81]+2*x[82]+x[88]+x[91]+2*x[92]+2*x[93]+2*x[97]+3*x[98]+2*x[99]+x[102]+2*x[103])*q^7 + (x[78]+x[80]+x[83]+2*x[84]+x[90]+x[94]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+2*x[106])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[99]+x[102]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]+x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #13.2 : c = (1) |O_x_c^F| = 1/2*q^16*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,13,2] = (x[17]-x[18])*q^16 + (x[30]-x[31]+x[42]-x[43]+x[45])*q^15 + (x[20]+x[35]+x[41]-x[44]+x[46]+x[49]+x[54]+x[64]-x[75])*q^14 + (x[33]-x[34]+x[36]+2*x[45]+x[48]+x[50]+x[53]-x[55]+x[56]+x[62]-x[63]+x[66]+x[74]+x[76])*q^13 + (x[35]+x[41]-x[44]+x[46]+x[47]+x[49]+2*x[54]+x[64]+x[65]+2*x[67]+2*x[71]-x[77]+x[78]+x[83]+x[90])*q^12 + (x[45]+2*x[50]+x[53]+x[56]+x[62]-x[63]+2*x[66]-x[68]+3*x[74]+x[76]+x[79]+2*x[82]+x[88]-x[91]+x[92])*q^11 + (x[47]+x[49]-x[51]+2*x[54]+x[64]+2*x[67]+x[69]-x[70]+x[71]+x[72]+x[73]-x[77]+3*x[78]+x[80]+x[83]+x[89]+2*x[90]+2*x[95])*q^10 + (x[50]+x[53]+x[56]+x[66]-x[68]+3*x[74]+x[79]+2*x[82]+x[86]-x[87]+x[88]-x[91]+3*x[92]+x[93]+x[97]+x[98]+x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]-x[77]+2*x[78]+x[80]+x[83]+x[84]+x[89]+2*x[90]-x[94]+3*x[95]+x[96]+x[101]+x[104])*q^8 + (x[56]+x[74]+x[79]+2*x[82]+x[88]-x[91]+2*x[92]+2*x[93]+x[98]-x[102]+2*x[103])*q^7 + (x[78]+x[80]+x[83]+x[90]-x[94]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105])*q^6 + (x[82]+x[92]+x[93]+x[98]-x[102]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]-x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]-x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #14 : [3, 3, 3, 3, 1, 1] dim = 68 A(O) = 1 , |A(O)_0| = 1 g_s = 10*V[4]+14*V[2]+13*V[0] Z_G(x)_0 = Sp4+Sp2 # Green Polys by orbit reps #14.1 : x[19] : [3, 3, 3, 3, 1, 1],[] : [[1, 1], [2, 2, 1]] Qxi[C7,14,1] = (x[19])*q^15 + (x[20]+x[41]+x[44]+x[47])*q^14 + (x[33]+x[34]+x[42]+x[43]+x[45]+2*x[48]+x[50]+x[52]+x[55]+x[74])*q^13 + (x[35]+x[41]+x[44]+x[46]+2*x[47]+2*x[51]+3*x[54]+x[67]+x[69]+x[70]+x[71]+x[75]+x[77]+x[78]+x[80])*q^12 + (x[45]+2*x[48]+2*x[50]+2*x[52]+x[53]+3*x[55]+x[56]+x[62]+x[63]+x[66]+x[68]+3*x[74]+2*x[76]+x[79]+2*x[81]+2*x[82]+x[93])*q^11 + (x[47]+x[49]+x[51]+4*x[54]+x[64]+2*x[67]+x[69]+x[70]+x[71]+x[72]+x[73]+x[75]+3*x[77]+2*x[78]+4*x[80]+2*x[83]+x[84]+x[90]+x[94]+2*x[95])*q^10 + (x[50]+x[53]+2*x[55]+x[56]+x[66]+x[68]+3*x[74]+2*x[76]+x[79]+4*x[81]+4*x[82]+x[86]+x[87]+x[88]+x[91]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99])*q^9 + (x[54]+x[67]+x[71]+x[75]+x[77]+2*x[78]+3*x[80]+3*x[83]+3*x[84]+x[89]+2*x[90]+3*x[94]+3*x[95]+x[96]+x[101]+x[105])*q^8 + (x[56]+x[74]+x[79]+2*x[81]+2*x[82]+x[88]+x[91]+2*x[92]+2*x[93]+2*x[97]+3*x[98]+2*x[99]+x[102]+2*x[103])*q^7 + (x[78]+x[80]+x[83]+2*x[84]+x[90]+x[94]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+2*x[106])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[99]+x[102]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]+x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #14.1 : c = () |O_x_c^F| = q^20*(q^2-q+1)*(q^2+q+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,14,1] = (x[19])*q^15 + (x[20]+x[41]+x[44]+x[47])*q^14 + (x[33]+x[34]+x[42]+x[43]+x[45]+2*x[48]+x[50]+x[52]+x[55]+x[74])*q^13 + (x[35]+x[41]+x[44]+x[46]+2*x[47]+2*x[51]+3*x[54]+x[67]+x[69]+x[70]+x[71]+x[75]+x[77]+x[78]+x[80])*q^12 + (x[45]+2*x[48]+2*x[50]+2*x[52]+x[53]+3*x[55]+x[56]+x[62]+x[63]+x[66]+x[68]+3*x[74]+2*x[76]+x[79]+2*x[81]+2*x[82]+x[93])*q^11 + (x[47]+x[49]+x[51]+4*x[54]+x[64]+2*x[67]+x[69]+x[70]+x[71]+x[72]+x[73]+x[75]+3*x[77]+2*x[78]+4*x[80]+2*x[83]+x[84]+x[90]+x[94]+2*x[95])*q^10 + (x[50]+x[53]+2*x[55]+x[56]+x[66]+x[68]+3*x[74]+2*x[76]+x[79]+4*x[81]+4*x[82]+x[86]+x[87]+x[88]+x[91]+2*x[92]+2*x[93]+x[97]+2*x[98]+x[99])*q^9 + (x[54]+x[67]+x[71]+x[75]+x[77]+2*x[78]+3*x[80]+3*x[83]+3*x[84]+x[89]+2*x[90]+3*x[94]+3*x[95]+x[96]+x[101]+x[105])*q^8 + (x[56]+x[74]+x[79]+2*x[81]+2*x[82]+x[88]+x[91]+2*x[92]+2*x[93]+2*x[97]+3*x[98]+2*x[99]+x[102]+2*x[103])*q^7 + (x[78]+x[80]+x[83]+2*x[84]+x[90]+x[94]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+2*x[106])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[99]+x[102]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]+x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #15 : [3, 3, 3, 3, 2] dim = 70 A(O) = 1 , |A(O)_0| = 1 g_s = 10*V[4]+4*V[3]+7*V[2]+4*V[1]+10*V[0] Z_G(x)_0 = O1+Sp4 # Green Polys by orbit reps #15.1 : x[20] : [3, 3, 3, 3, 2],[] : [[1, 1, 1], [2, 2]] Qxi[C7,15,1] = (x[20])*q^14 + (x[45]+x[48])*q^13 + (x[35]+x[46]+x[47]+x[51]+x[54]+x[71])*q^12 + (x[45]+x[48]+x[50]+x[53]+x[55]+x[66]+x[74]+x[76]+x[82])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+x[67]+x[71]+x[72]+x[73]+x[77]+x[78]+x[80]+x[83]+x[95])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+2*x[74]+x[76]+x[79]+x[81]+2*x[82]+x[88]+x[92]+x[97]+x[98])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+x[80]+2*x[83]+x[84]+x[89]+x[90]+x[94]+2*x[95]+x[96])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+x[93]+x[97]+x[98]+x[99]+x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[104]+x[105]+x[106])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #15.1 : c = () |O_x_c^F| = q^20*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,15,1] = (x[20])*q^14 + (x[45]+x[48])*q^13 + (x[35]+x[46]+x[47]+x[51]+x[54]+x[71])*q^12 + (x[45]+x[48]+x[50]+x[53]+x[55]+x[66]+x[74]+x[76]+x[82])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+x[67]+x[71]+x[72]+x[73]+x[77]+x[78]+x[80]+x[83]+x[95])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+2*x[74]+x[76]+x[79]+x[81]+2*x[82]+x[88]+x[92]+x[97]+x[98])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+x[80]+2*x[83]+x[84]+x[89]+x[90]+x[94]+2*x[95]+x[96])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+x[93]+x[97]+x[98]+x[99]+x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[104]+x[105]+x[106])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #16 : [4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] dim = 38 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+10*V[3]+V[2]+55*V[0] Z_G(x)_0 = Sp10+O1 # Green Polys by orbit reps #16.1 : x[21] : [4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[2, 1, 1, 1, 1, 1], []] Qxi[C7,16,1] = (x[21])*q^30 + (x[24])*q^29 + (x[25]+x[28]+x[57])*q^28 + (x[24]+x[30]+x[32]+x[60])*q^27 + (x[25]+x[26]+x[28]+x[29]+x[35]+x[39]+x[57]+x[61]+x[64])*q^26 + (x[22]+x[24]+x[30]+2*x[32]+x[33]+x[36]+x[45]+2*x[60]+x[62]+x[66])*q^25 + (x[25]+x[26]+2*x[28]+x[29]+2*x[35]+x[39]+x[41]+x[49]+x[57]+x[58]+2*x[61]+2*x[64]+x[65]+x[67]+x[71]+x[85])*q^24 + (x[24]+2*x[30]+3*x[32]+x[33]+x[36]+x[37]+2*x[45]+x[50]+3*x[60]+2*x[62]+3*x[66]+x[74]+x[88])*q^23 + (x[25]+x[26]+2*x[28]+x[29]+3*x[35]+2*x[39]+2*x[41]+x[47]+2*x[49]+x[57]+x[58]+3*x[61]+4*x[64]+x[65]+2*x[67]+x[69]+2*x[71]+x[72]+x[78]+x[85]+x[89]+x[90])*q^22 + (x[24]+2*x[30]+3*x[32]+2*x[33]+2*x[36]+x[37]+x[43]+3*x[45]+2*x[50]+x[53]+4*x[60]+3*x[62]+5*x[66]+3*x[74]+x[79]+x[86]+2*x[88]+x[92])*q^21 + (x[26]+2*x[28]+x[29]+4*x[35]+2*x[39]+3*x[41]+x[47]+3*x[49]+x[54]+x[57]+x[58]+3*x[61]+5*x[64]+2*x[65]+4*x[67]+2*x[69]+4*x[71]+2*x[72]+x[75]+2*x[78]+2*x[85]+2*x[89]+2*x[90]+x[95])*q^20 + (2*x[30]+3*x[32]+2*x[33]+2*x[36]+x[37]+x[43]+4*x[45]+3*x[50]+x[52]+x[53]+x[56]+4*x[60]+4*x[62]+7*x[66]+5*x[74]+2*x[79]+x[82]+x[86]+4*x[88]+2*x[92]+x[93])*q^19 + (x[26]+x[28]+x[29]+4*x[35]+2*x[39]+3*x[41]+2*x[47]+4*x[49]+2*x[54]+x[58]+3*x[61]+6*x[64]+2*x[65]+5*x[67]+3*x[69]+5*x[71]+2*x[72]+x[75]+4*x[78]+x[80]+2*x[85]+3*x[89]+4*x[90]+2*x[95]+x[96]+x[100])*q^18 + (x[30]+2*x[32]+2*x[33]+2*x[36]+x[37]+x[43]+4*x[45]+4*x[50]+x[52]+2*x[53]+x[55]+x[56]+3*x[60]+4*x[62]+8*x[66]+7*x[74]+2*x[79]+2*x[82]+2*x[86]+5*x[88]+4*x[92]+2*x[93]+x[103])*q^17 + (x[28]+3*x[35]+x[39]+3*x[41]+2*x[47]+4*x[49]+3*x[54]+x[58]+2*x[61]+5*x[64]+2*x[65]+6*x[67]+3*x[69]+6*x[71]+2*x[72]+2*x[75]+5*x[78]+2*x[80]+2*x[85]+4*x[89]+5*x[90]+4*x[95]+x[96]+x[100]+x[101]+x[104])*q^16 + (x[30]+x[32]+x[33]+x[36]+x[43]+3*x[45]+4*x[50]+2*x[52]+2*x[53]+x[55]+2*x[56]+2*x[60]+3*x[62]+7*x[66]+8*x[74]+3*x[79]+3*x[82]+2*x[86]+6*x[88]+5*x[92]+3*x[93]+x[98]+2*x[103])*q^15 + (2*x[35]+x[39]+2*x[41]+2*x[47]+3*x[49]+3*x[54]+x[61]+4*x[64]+x[65]+5*x[67]+3*x[69]+5*x[71]+2*x[72]+2*x[75]+6*x[78]+3*x[80]+x[83]+x[85]+4*x[89]+6*x[90]+5*x[95]+2*x[96]+2*x[100]+x[101]+x[104]+x[105])*q^14 + (x[33]+x[36]+x[43]+2*x[45]+3*x[50]+x[52]+2*x[53]+x[55]+2*x[56]+x[60]+2*x[62]+5*x[66]+7*x[74]+3*x[79]+x[81]+4*x[82]+2*x[86]+5*x[88]+6*x[92]+4*x[93]+x[98]+3*x[103])*q^13 + (x[35]+x[41]+x[47]+2*x[49]+3*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+4*x[71]+x[72]+2*x[75]+5*x[78]+3*x[80]+x[83]+x[84]+x[85]+3*x[89]+5*x[90]+6*x[95]+2*x[96]+2*x[100]+2*x[101]+2*x[104]+x[105])*q^12 + (x[45]+2*x[50]+x[52]+x[53]+x[55]+2*x[56]+x[62]+3*x[66]+5*x[74]+2*x[79]+x[81]+4*x[82]+x[86]+4*x[88]+5*x[92]+4*x[93]+2*x[98]+4*x[103])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[75]+4*x[78]+3*x[80]+x[83]+x[84]+2*x[89]+4*x[90]+5*x[95]+x[96]+2*x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[79]+x[81]+3*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+2*x[98]+4*x[103]+x[108])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[84]+x[89]+2*x[90]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #16.1 : c = () |O_x_c^F| = q^12*(q^12-1)*(q^14-1) Qxc[C7,16,1] = (x[21])*q^30 + (x[24])*q^29 + (x[25]+x[28]+x[57])*q^28 + (x[24]+x[30]+x[32]+x[60])*q^27 + (x[25]+x[26]+x[28]+x[29]+x[35]+x[39]+x[57]+x[61]+x[64])*q^26 + (x[22]+x[24]+x[30]+2*x[32]+x[33]+x[36]+x[45]+2*x[60]+x[62]+x[66])*q^25 + (x[25]+x[26]+2*x[28]+x[29]+2*x[35]+x[39]+x[41]+x[49]+x[57]+x[58]+2*x[61]+2*x[64]+x[65]+x[67]+x[71]+x[85])*q^24 + (x[24]+2*x[30]+3*x[32]+x[33]+x[36]+x[37]+2*x[45]+x[50]+3*x[60]+2*x[62]+3*x[66]+x[74]+x[88])*q^23 + (x[25]+x[26]+2*x[28]+x[29]+3*x[35]+2*x[39]+2*x[41]+x[47]+2*x[49]+x[57]+x[58]+3*x[61]+4*x[64]+x[65]+2*x[67]+x[69]+2*x[71]+x[72]+x[78]+x[85]+x[89]+x[90])*q^22 + (x[24]+2*x[30]+3*x[32]+2*x[33]+2*x[36]+x[37]+x[43]+3*x[45]+2*x[50]+x[53]+4*x[60]+3*x[62]+5*x[66]+3*x[74]+x[79]+x[86]+2*x[88]+x[92])*q^21 + (x[26]+2*x[28]+x[29]+4*x[35]+2*x[39]+3*x[41]+x[47]+3*x[49]+x[54]+x[57]+x[58]+3*x[61]+5*x[64]+2*x[65]+4*x[67]+2*x[69]+4*x[71]+2*x[72]+x[75]+2*x[78]+2*x[85]+2*x[89]+2*x[90]+x[95])*q^20 + (2*x[30]+3*x[32]+2*x[33]+2*x[36]+x[37]+x[43]+4*x[45]+3*x[50]+x[52]+x[53]+x[56]+4*x[60]+4*x[62]+7*x[66]+5*x[74]+2*x[79]+x[82]+x[86]+4*x[88]+2*x[92]+x[93])*q^19 + (x[26]+x[28]+x[29]+4*x[35]+2*x[39]+3*x[41]+2*x[47]+4*x[49]+2*x[54]+x[58]+3*x[61]+6*x[64]+2*x[65]+5*x[67]+3*x[69]+5*x[71]+2*x[72]+x[75]+4*x[78]+x[80]+2*x[85]+3*x[89]+4*x[90]+2*x[95]+x[96]+x[100])*q^18 + (x[30]+2*x[32]+2*x[33]+2*x[36]+x[37]+x[43]+4*x[45]+4*x[50]+x[52]+2*x[53]+x[55]+x[56]+3*x[60]+4*x[62]+8*x[66]+7*x[74]+2*x[79]+2*x[82]+2*x[86]+5*x[88]+4*x[92]+2*x[93]+x[103])*q^17 + (x[28]+3*x[35]+x[39]+3*x[41]+2*x[47]+4*x[49]+3*x[54]+x[58]+2*x[61]+5*x[64]+2*x[65]+6*x[67]+3*x[69]+6*x[71]+2*x[72]+2*x[75]+5*x[78]+2*x[80]+2*x[85]+4*x[89]+5*x[90]+4*x[95]+x[96]+x[100]+x[101]+x[104])*q^16 + (x[30]+x[32]+x[33]+x[36]+x[43]+3*x[45]+4*x[50]+2*x[52]+2*x[53]+x[55]+2*x[56]+2*x[60]+3*x[62]+7*x[66]+8*x[74]+3*x[79]+3*x[82]+2*x[86]+6*x[88]+5*x[92]+3*x[93]+x[98]+2*x[103])*q^15 + (2*x[35]+x[39]+2*x[41]+2*x[47]+3*x[49]+3*x[54]+x[61]+4*x[64]+x[65]+5*x[67]+3*x[69]+5*x[71]+2*x[72]+2*x[75]+6*x[78]+3*x[80]+x[83]+x[85]+4*x[89]+6*x[90]+5*x[95]+2*x[96]+2*x[100]+x[101]+x[104]+x[105])*q^14 + (x[33]+x[36]+x[43]+2*x[45]+3*x[50]+x[52]+2*x[53]+x[55]+2*x[56]+x[60]+2*x[62]+5*x[66]+7*x[74]+3*x[79]+x[81]+4*x[82]+2*x[86]+5*x[88]+6*x[92]+4*x[93]+x[98]+3*x[103])*q^13 + (x[35]+x[41]+x[47]+2*x[49]+3*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+4*x[71]+x[72]+2*x[75]+5*x[78]+3*x[80]+x[83]+x[84]+x[85]+3*x[89]+5*x[90]+6*x[95]+2*x[96]+2*x[100]+2*x[101]+2*x[104]+x[105])*q^12 + (x[45]+2*x[50]+x[52]+x[53]+x[55]+2*x[56]+x[62]+3*x[66]+5*x[74]+2*x[79]+x[81]+4*x[82]+x[86]+4*x[88]+5*x[92]+4*x[93]+2*x[98]+4*x[103])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[75]+4*x[78]+3*x[80]+x[83]+x[84]+2*x[89]+4*x[90]+5*x[95]+x[96]+2*x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[79]+x[81]+3*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+2*x[98]+4*x[103]+x[108])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[84]+x[89]+2*x[90]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #17 : [4, 2, 1, 1, 1, 1, 1, 1, 1, 1] dim = 48 A(O) = Z2 , |A(O)_0| = 2 g_s = V[6]+V[4]+8*V[3]+3*V[2]+8*V[1]+36*V[0] Z_G(x)_0 = Sp8+2*O1 # Green Polys by orbit reps #17.1 : x[22] : [4, 2, 1, 1, 1, 1, 1, 1, 1, 1],[1] : [[2], [1, 1, 1, 1, 1]] Qxi[C7,17,1] = (x[22])*q^25 + (x[26]+x[58])*q^24 + (x[30]+x[37]+x[62])*q^23 + (x[26]+x[28]+x[41]+x[58]+x[64]+x[69])*q^22 + (x[24]+x[30]+x[33]+x[37]+x[43]+x[45]+x[60]+2*x[62]+x[74]+x[86])*q^21 + (x[26]+x[28]+x[35]+x[39]+2*x[41]+x[47]+x[57]+x[58]+2*x[64]+x[67]+2*x[69]+x[71]+x[75]+x[90])*q^20 + (2*x[30]+x[32]+x[33]+x[37]+x[43]+2*x[45]+x[50]+x[52]+2*x[60]+3*x[62]+x[66]+3*x[74]+x[86]+x[88]+x[93])*q^19 + (x[26]+x[28]+2*x[35]+x[39]+3*x[41]+x[47]+x[49]+x[54]+x[58]+x[61]+4*x[64]+2*x[67]+3*x[69]+2*x[71]+x[75]+x[78]+x[80]+x[85]+2*x[90]+x[95])*q^18 + (x[30]+x[32]+2*x[33]+x[36]+x[37]+x[43]+3*x[45]+2*x[50]+x[52]+x[53]+x[55]+2*x[60]+4*x[62]+3*x[66]+5*x[74]+x[82]+2*x[86]+2*x[88]+x[92]+2*x[93])*q^17 + (x[28]+2*x[35]+x[39]+3*x[41]+2*x[47]+2*x[49]+2*x[54]+x[58]+x[61]+4*x[64]+x[65]+4*x[67]+3*x[69]+4*x[71]+2*x[75]+2*x[78]+2*x[80]+x[85]+x[89]+4*x[90]+2*x[95]+x[101])*q^16 + (x[30]+x[32]+x[33]+x[43]+3*x[45]+3*x[50]+2*x[52]+x[53]+x[55]+x[56]+2*x[60]+3*x[62]+4*x[66]+7*x[74]+x[79]+2*x[82]+2*x[86]+4*x[88]+2*x[92]+3*x[93]+x[98]+x[103])*q^15 + (2*x[35]+x[39]+2*x[41]+2*x[47]+2*x[49]+3*x[54]+x[61]+4*x[64]+4*x[67]+3*x[69]+4*x[71]+x[72]+2*x[75]+4*x[78]+3*x[80]+x[85]+2*x[89]+5*x[90]+4*x[95]+x[100]+x[101]+x[105])*q^14 + (x[33]+x[36]+x[43]+2*x[45]+3*x[50]+x[52]+2*x[53]+x[55]+x[56]+x[60]+2*x[62]+4*x[66]+7*x[74]+2*x[79]+x[81]+3*x[82]+2*x[86]+4*x[88]+4*x[92]+4*x[93]+x[98]+2*x[103])*q^13 + (x[35]+x[41]+x[47]+2*x[49]+3*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+4*x[71]+x[72]+2*x[75]+4*x[78]+3*x[80]+x[83]+x[84]+x[85]+2*x[89]+5*x[90]+5*x[95]+x[96]+x[100]+2*x[101]+x[104]+x[105])*q^12 + (x[45]+2*x[50]+x[52]+x[53]+x[55]+2*x[56]+x[62]+3*x[66]+5*x[74]+2*x[79]+x[81]+4*x[82]+x[86]+4*x[88]+4*x[92]+4*x[93]+2*x[98]+3*x[103])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[75]+4*x[78]+3*x[80]+x[83]+x[84]+2*x[89]+4*x[90]+5*x[95]+x[96]+2*x[100]+2*x[101]+x[104]+2*x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[79]+x[81]+3*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+2*x[98]+4*x[103]+x[108])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[84]+x[89]+2*x[90]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #17.2 : x[23] : [4, 2, 1, 1, 1, 1, 1, 1, 1, 1],[-1] : [[], [3, 1, 1, 1, 1]] Qxi[C7,17,2] = (x[23])*q^25 + (x[38])*q^24 + (x[27]+x[42]+x[59])*q^23 + (x[38]+x[44]+x[46]+x[70])*q^22 + (x[27]+x[31]+x[40]+x[42]+x[48]+x[52]+x[59]+x[63]+x[76])*q^21 + (x[38]+2*x[44]+x[46]+x[54]+2*x[70]+x[73]+x[77])*q^20 + (x[27]+x[34]+2*x[42]+x[48]+x[52]+x[53]+x[55]+x[59]+2*x[63]+2*x[76]+x[81]+x[87])*q^19 + (x[38]+2*x[44]+x[46]+x[51]+2*x[54]+3*x[70]+x[73]+2*x[77]+x[83]+x[94])*q^18 + (x[31]+x[34]+x[42]+2*x[48]+2*x[52]+x[53]+x[55]+x[56]+x[59]+2*x[63]+x[68]+3*x[76]+2*x[81]+x[87]+x[91]+x[97])*q^17 + (2*x[44]+x[46]+x[51]+2*x[54]+3*x[70]+x[73]+3*x[77]+x[80]+2*x[83]+2*x[94])*q^16 + (x[34]+x[42]+x[48]+x[52]+x[53]+2*x[55]+2*x[63]+x[68]+3*x[76]+3*x[81]+x[82]+2*x[87]+x[91]+x[97]+x[99])*q^15 + (x[44]+x[51]+2*x[54]+2*x[70]+x[73]+3*x[77]+x[80]+2*x[83]+x[84]+3*x[94])*q^14 + (x[48]+x[52]+x[55]+x[56]+x[63]+x[68]+2*x[76]+3*x[81]+x[82]+x[87]+2*x[91]+2*x[97]+x[99]+x[102])*q^13 + (x[51]+x[54]+x[70]+2*x[77]+x[80]+2*x[83]+x[84]+3*x[94]+x[106])*q^12 + (x[55]+x[68]+x[76]+2*x[81]+x[82]+x[87]+x[91]+x[97]+2*x[99]+x[102])*q^11 + (x[77]+x[80]+x[83]+x[84]+2*x[94]+x[106])*q^10 + (x[81]+x[91]+x[97]+x[98]+x[99]+x[102])*q^9 + (x[84]+x[94]+x[106])*q^8 + (x[99]+x[102])*q^7 + (x[106])*q^6 + (x[109])*q^5 # Green Polys by conj class in A(O) #17.1 : c = () |O_x_c^F| = 1/2*q^12*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,17,1] = (x[22]+x[23])*q^25 + (x[26]+x[38]+x[58])*q^24 + (x[27]+x[30]+x[37]+x[42]+x[59]+x[62])*q^23 + (x[26]+x[28]+x[38]+x[41]+x[44]+x[46]+x[58]+x[64]+x[69]+x[70])*q^22 + (x[24]+x[27]+x[30]+x[31]+x[33]+x[37]+x[40]+x[42]+x[43]+x[45]+x[48]+x[52]+x[59]+x[60]+2*x[62]+x[63]+x[74]+x[76]+x[86])*q^21 + (x[26]+x[28]+x[35]+x[38]+x[39]+2*x[41]+2*x[44]+x[46]+x[47]+x[54]+x[57]+x[58]+2*x[64]+x[67]+2*x[69]+2*x[70]+x[71]+x[73]+x[75]+x[77]+x[90])*q^20 + (x[27]+2*x[30]+x[32]+x[33]+x[34]+x[37]+2*x[42]+x[43]+2*x[45]+x[48]+x[50]+2*x[52]+x[53]+x[55]+x[59]+2*x[60]+3*x[62]+2*x[63]+x[66]+3*x[74]+2*x[76]+x[81]+x[86]+x[87]+x[88]+x[93])*q^19 + (x[26]+x[28]+2*x[35]+x[38]+x[39]+3*x[41]+2*x[44]+x[46]+x[47]+x[49]+x[51]+3*x[54]+x[58]+x[61]+4*x[64]+2*x[67]+3*x[69]+3*x[70]+2*x[71]+x[73]+x[75]+2*x[77]+x[78]+x[80]+x[83]+x[85]+2*x[90]+x[94]+x[95])*q^18 + (x[30]+x[31]+x[32]+2*x[33]+x[34]+x[36]+x[37]+x[42]+x[43]+3*x[45]+2*x[48]+2*x[50]+3*x[52]+2*x[53]+2*x[55]+x[56]+x[59]+2*x[60]+4*x[62]+2*x[63]+3*x[66]+x[68]+5*x[74]+3*x[76]+2*x[81]+x[82]+2*x[86]+x[87]+2*x[88]+x[91]+x[92]+2*x[93]+x[97])*q^17 + (x[28]+2*x[35]+x[39]+3*x[41]+2*x[44]+x[46]+2*x[47]+2*x[49]+x[51]+4*x[54]+x[58]+x[61]+4*x[64]+x[65]+4*x[67]+3*x[69]+3*x[70]+4*x[71]+x[73]+2*x[75]+3*x[77]+2*x[78]+3*x[80]+2*x[83]+x[85]+x[89]+4*x[90]+2*x[94]+2*x[95]+x[101])*q^16 + (x[30]+x[32]+x[33]+x[34]+x[42]+x[43]+3*x[45]+x[48]+3*x[50]+3*x[52]+2*x[53]+3*x[55]+x[56]+2*x[60]+3*x[62]+2*x[63]+4*x[66]+x[68]+7*x[74]+3*x[76]+x[79]+3*x[81]+3*x[82]+2*x[86]+2*x[87]+4*x[88]+x[91]+2*x[92]+3*x[93]+x[97]+x[98]+x[99]+x[103])*q^15 + (2*x[35]+x[39]+2*x[41]+x[44]+2*x[47]+2*x[49]+x[51]+5*x[54]+x[61]+4*x[64]+4*x[67]+3*x[69]+2*x[70]+4*x[71]+x[72]+x[73]+2*x[75]+3*x[77]+4*x[78]+4*x[80]+2*x[83]+x[84]+x[85]+2*x[89]+5*x[90]+3*x[94]+4*x[95]+x[100]+x[101]+x[105])*q^14 + (x[33]+x[36]+x[43]+2*x[45]+x[48]+3*x[50]+2*x[52]+2*x[53]+2*x[55]+2*x[56]+x[60]+2*x[62]+x[63]+4*x[66]+x[68]+7*x[74]+2*x[76]+2*x[79]+4*x[81]+4*x[82]+2*x[86]+x[87]+4*x[88]+2*x[91]+4*x[92]+4*x[93]+2*x[97]+x[98]+x[99]+x[102]+2*x[103])*q^13 + (x[35]+x[41]+x[47]+2*x[49]+x[51]+4*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+x[70]+4*x[71]+x[72]+2*x[75]+2*x[77]+4*x[78]+4*x[80]+3*x[83]+2*x[84]+x[85]+2*x[89]+5*x[90]+3*x[94]+5*x[95]+x[96]+x[100]+2*x[101]+x[104]+x[105]+x[106])*q^12 + (x[45]+2*x[50]+x[52]+x[53]+2*x[55]+2*x[56]+x[62]+3*x[66]+x[68]+5*x[74]+x[76]+2*x[79]+3*x[81]+5*x[82]+x[86]+x[87]+4*x[88]+x[91]+4*x[92]+4*x[93]+x[97]+2*x[98]+2*x[99]+x[102]+3*x[103])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[75]+x[77]+4*x[78]+4*x[80]+2*x[83]+2*x[84]+2*x[89]+4*x[90]+2*x[94]+5*x[95]+x[96]+2*x[100]+2*x[101]+x[104]+2*x[105]+x[106])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[79]+2*x[81]+3*x[82]+x[86]+2*x[88]+x[91]+4*x[92]+3*x[93]+x[97]+3*x[98]+x[99]+x[102]+4*x[103]+x[108])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+2*x[84]+x[89]+2*x[90]+x[94]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[106]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+x[99]+x[102]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108]+x[109])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #17.2 : c = (1) |O_x_c^F| = 1/2*q^12*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,17,2] = (x[22]-x[23])*q^25 + (x[26]-x[38]+x[58])*q^24 + (-x[27]+x[30]+x[37]-x[42]-x[59]+x[62])*q^23 + (x[26]+x[28]-x[38]+x[41]-x[44]-x[46]+x[58]+x[64]+x[69]-x[70])*q^22 + (x[24]-x[27]+x[30]-x[31]+x[33]+x[37]-x[40]-x[42]+x[43]+x[45]-x[48]-x[52]-x[59]+x[60]+2*x[62]-x[63]+x[74]-x[76]+x[86])*q^21 + (x[26]+x[28]+x[35]-x[38]+x[39]+2*x[41]-2*x[44]-x[46]+x[47]-x[54]+x[57]+x[58]+2*x[64]+x[67]+2*x[69]-2*x[70]+x[71]-x[73]+x[75]-x[77]+x[90])*q^20 + (-x[27]+2*x[30]+x[32]+x[33]-x[34]+x[37]-2*x[42]+x[43]+2*x[45]-x[48]+x[50]-x[53]-x[55]-x[59]+2*x[60]+3*x[62]-2*x[63]+x[66]+3*x[74]-2*x[76]-x[81]+x[86]-x[87]+x[88]+x[93])*q^19 + (x[26]+x[28]+2*x[35]-x[38]+x[39]+3*x[41]-2*x[44]-x[46]+x[47]+x[49]-x[51]-x[54]+x[58]+x[61]+4*x[64]+2*x[67]+3*x[69]-3*x[70]+2*x[71]-x[73]+x[75]-2*x[77]+x[78]+x[80]-x[83]+x[85]+2*x[90]-x[94]+x[95])*q^18 + (x[30]-x[31]+x[32]+2*x[33]-x[34]+x[36]+x[37]-x[42]+x[43]+3*x[45]-2*x[48]+2*x[50]-x[52]-x[56]-x[59]+2*x[60]+4*x[62]-2*x[63]+3*x[66]-x[68]+5*x[74]-3*x[76]-2*x[81]+x[82]+2*x[86]-x[87]+2*x[88]-x[91]+x[92]+2*x[93]-x[97])*q^17 + (x[28]+2*x[35]+x[39]+3*x[41]-2*x[44]-x[46]+2*x[47]+2*x[49]-x[51]+x[58]+x[61]+4*x[64]+x[65]+4*x[67]+3*x[69]-3*x[70]+4*x[71]-x[73]+2*x[75]-3*x[77]+2*x[78]+x[80]-2*x[83]+x[85]+x[89]+4*x[90]-2*x[94]+2*x[95]+x[101])*q^16 + (x[30]+x[32]+x[33]-x[34]-x[42]+x[43]+3*x[45]-x[48]+3*x[50]+x[52]-x[55]+x[56]+2*x[60]+3*x[62]-2*x[63]+4*x[66]-x[68]+7*x[74]-3*x[76]+x[79]-3*x[81]+x[82]+2*x[86]-2*x[87]+4*x[88]-x[91]+2*x[92]+3*x[93]-x[97]+x[98]-x[99]+x[103])*q^15 + (2*x[35]+x[39]+2*x[41]-x[44]+2*x[47]+2*x[49]-x[51]+x[54]+x[61]+4*x[64]+4*x[67]+3*x[69]-2*x[70]+4*x[71]+x[72]-x[73]+2*x[75]-3*x[77]+4*x[78]+2*x[80]-2*x[83]-x[84]+x[85]+2*x[89]+5*x[90]-3*x[94]+4*x[95]+x[100]+x[101]+x[105])*q^14 + (x[33]+x[36]+x[43]+2*x[45]-x[48]+3*x[50]+2*x[53]+x[60]+2*x[62]-x[63]+4*x[66]-x[68]+7*x[74]-2*x[76]+2*x[79]-2*x[81]+2*x[82]+2*x[86]-x[87]+4*x[88]-2*x[91]+4*x[92]+4*x[93]-2*x[97]+x[98]-x[99]-x[102]+2*x[103])*q^13 + (x[35]+x[41]+x[47]+2*x[49]-x[51]+2*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]-x[70]+4*x[71]+x[72]+2*x[75]-2*x[77]+4*x[78]+2*x[80]-x[83]+x[85]+2*x[89]+5*x[90]-3*x[94]+5*x[95]+x[96]+x[100]+2*x[101]+x[104]+x[105]-x[106])*q^12 + (x[45]+2*x[50]+x[52]+x[53]+2*x[56]+x[62]+3*x[66]-x[68]+5*x[74]-x[76]+2*x[79]-x[81]+3*x[82]+x[86]-x[87]+4*x[88]-x[91]+4*x[92]+4*x[93]-x[97]+2*x[98]-2*x[99]-x[102]+3*x[103])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[75]-x[77]+4*x[78]+2*x[80]+2*x[89]+4*x[90]-2*x[94]+5*x[95]+x[96]+2*x[100]+2*x[101]+x[104]+2*x[105]-x[106])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[79]+3*x[82]+x[86]+2*x[88]-x[91]+4*x[92]+3*x[93]-x[97]+x[98]-x[99]-x[102]+4*x[103]+x[108])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[89]+2*x[90]-x[94]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]-x[106]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]-x[99]-x[102]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]-x[106]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108]-x[109])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #18 : [4, 2, 2, 1, 1, 1, 1, 1, 1] dim = 56 A(O) = Z2 , |A(O)_0| = 2 g_s = V[6]+2*V[4]+6*V[3]+6*V[2]+12*V[1]+22*V[0] Z_G(x)_0 = O2+Sp6+O1 # Green Polys by orbit reps #18.1 : x[24] : [4, 2, 2, 1, 1, 1, 1, 1, 1],[1] : [[2, 1, 1, 1, 1], [1]] Qxi[C7,18,1] = (x[24])*q^21 + (x[28]+x[39]+x[57])*q^20 + (x[30]+x[32]+x[45]+2*x[60])*q^19 + (x[26]+x[28]+x[35]+x[39]+x[41]+x[49]+x[61]+2*x[64]+x[71]+x[85])*q^18 + (x[30]+x[32]+x[33]+x[36]+x[37]+2*x[45]+x[50]+x[53]+2*x[60]+2*x[62]+2*x[66]+x[74]+x[88])*q^17 + (x[28]+2*x[35]+x[39]+2*x[41]+x[47]+2*x[49]+x[54]+x[58]+x[61]+3*x[64]+x[65]+2*x[67]+x[69]+3*x[71]+x[78]+x[85]+x[89]+x[90])*q^16 + (x[30]+x[32]+x[33]+x[43]+3*x[45]+2*x[50]+x[52]+x[53]+x[56]+2*x[60]+2*x[62]+4*x[66]+4*x[74]+x[82]+x[86]+3*x[88]+x[92])*q^15 + (2*x[35]+x[39]+2*x[41]+2*x[47]+2*x[49]+2*x[54]+x[61]+4*x[64]+3*x[67]+2*x[69]+4*x[71]+x[72]+x[75]+3*x[78]+x[80]+x[85]+2*x[89]+3*x[90]+2*x[95]+x[100])*q^14 + (x[33]+x[36]+x[43]+2*x[45]+3*x[50]+x[52]+2*x[53]+x[55]+x[56]+x[60]+2*x[62]+4*x[66]+6*x[74]+2*x[79]+2*x[82]+x[86]+4*x[88]+3*x[92]+2*x[93]+x[103])*q^13 + (x[35]+x[41]+x[47]+2*x[49]+3*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+4*x[71]+x[72]+2*x[75]+4*x[78]+2*x[80]+x[83]+x[85]+2*x[89]+4*x[90]+4*x[95]+x[96]+x[100]+x[101]+x[104])*q^12 + (x[45]+2*x[50]+x[52]+x[53]+x[55]+2*x[56]+x[62]+3*x[66]+5*x[74]+2*x[79]+x[81]+4*x[82]+x[86]+4*x[88]+4*x[92]+3*x[93]+x[98]+2*x[103])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[75]+4*x[78]+3*x[80]+x[83]+x[84]+2*x[89]+4*x[90]+5*x[95]+x[96]+2*x[100]+x[101]+x[104]+x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[79]+x[81]+3*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+2*x[98]+4*x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[84]+x[89]+2*x[90]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #18.2 : x[25] : [4, 2, 2, 1, 1, 1, 1, 1, 1],[-1] : [[2, 2, 1, 1, 1], []] Qxi[C7,18,2] = (x[25])*q^21 + (x[32])*q^20 + (x[29]+x[35]+x[61])*q^19 + (x[32]+x[33]+x[36]+x[66])*q^18 + (x[29]+x[35]+x[49]+x[61]+x[65]+x[67]+x[72])*q^17 + (x[32]+x[36]+x[50]+2*x[66]+x[79])*q^16 + (x[35]+x[49]+x[61]+x[65]+x[67]+x[72]+x[78]+x[89])*q^15 + (x[36]+x[50]+2*x[66]+x[79]+x[92])*q^14 + (x[49]+x[65]+x[67]+x[72]+x[78]+x[89]+x[96])*q^13 + (x[56]+x[66]+x[79]+x[92])*q^12 + (x[78]+x[89]+x[96])*q^11 + (x[92])*q^10 + (x[104])*q^9 # Green Polys by conj class in A(O) #18.1 : c = () |O_x_c^F| = 1/2*q^13*(q+1)*(q^2+1)*(q^4+1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,18,1] = (x[24]+x[25])*q^21 + (x[28]+x[32]+x[39]+x[57])*q^20 + (x[29]+x[30]+x[32]+x[35]+x[45]+2*x[60]+x[61])*q^19 + (x[26]+x[28]+x[32]+x[33]+x[35]+x[36]+x[39]+x[41]+x[49]+x[61]+2*x[64]+x[66]+x[71]+x[85])*q^18 + (x[29]+x[30]+x[32]+x[33]+x[35]+x[36]+x[37]+2*x[45]+x[49]+x[50]+x[53]+2*x[60]+x[61]+2*x[62]+x[65]+2*x[66]+x[67]+x[72]+x[74]+x[88])*q^17 + (x[28]+x[32]+2*x[35]+x[36]+x[39]+2*x[41]+x[47]+2*x[49]+x[50]+x[54]+x[58]+x[61]+3*x[64]+x[65]+2*x[66]+2*x[67]+x[69]+3*x[71]+x[78]+x[79]+x[85]+x[89]+x[90])*q^16 + (x[30]+x[32]+x[33]+x[35]+x[43]+3*x[45]+x[49]+2*x[50]+x[52]+x[53]+x[56]+2*x[60]+x[61]+2*x[62]+x[65]+4*x[66]+x[67]+x[72]+4*x[74]+x[78]+x[82]+x[86]+3*x[88]+x[89]+x[92])*q^15 + (2*x[35]+x[36]+x[39]+2*x[41]+2*x[47]+2*x[49]+x[50]+2*x[54]+x[61]+4*x[64]+2*x[66]+3*x[67]+2*x[69]+4*x[71]+x[72]+x[75]+3*x[78]+x[79]+x[80]+x[85]+2*x[89]+3*x[90]+x[92]+2*x[95]+x[100])*q^14 + (x[33]+x[36]+x[43]+2*x[45]+x[49]+3*x[50]+x[52]+2*x[53]+x[55]+x[56]+x[60]+2*x[62]+x[65]+4*x[66]+x[67]+x[72]+6*x[74]+x[78]+2*x[79]+2*x[82]+x[86]+4*x[88]+x[89]+3*x[92]+2*x[93]+x[96]+x[103])*q^13 + (x[35]+x[41]+x[47]+2*x[49]+3*x[54]+x[56]+2*x[64]+x[65]+x[66]+4*x[67]+2*x[69]+4*x[71]+x[72]+2*x[75]+4*x[78]+x[79]+2*x[80]+x[83]+x[85]+2*x[89]+4*x[90]+x[92]+4*x[95]+x[96]+x[100]+x[101]+x[104])*q^12 + (x[45]+2*x[50]+x[52]+x[53]+x[55]+2*x[56]+x[62]+3*x[66]+5*x[74]+x[78]+2*x[79]+x[81]+4*x[82]+x[86]+4*x[88]+x[89]+4*x[92]+3*x[93]+x[96]+x[98]+2*x[103])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[75]+4*x[78]+3*x[80]+x[83]+x[84]+2*x[89]+4*x[90]+x[92]+5*x[95]+x[96]+2*x[100]+x[101]+x[104]+x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[79]+x[81]+3*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+2*x[98]+4*x[103]+x[104])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[84]+x[89]+2*x[90]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #18.2 : c = (1) |O_x_c^F| = 1/2*q^13*(q-1)*(q^2+1)*(q^4+1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,18,2] = (x[24]-x[25])*q^21 + (x[28]-x[32]+x[39]+x[57])*q^20 + (-x[29]+x[30]+x[32]-x[35]+x[45]+2*x[60]-x[61])*q^19 + (x[26]+x[28]-x[32]-x[33]+x[35]-x[36]+x[39]+x[41]+x[49]+x[61]+2*x[64]-x[66]+x[71]+x[85])*q^18 + (-x[29]+x[30]+x[32]+x[33]-x[35]+x[36]+x[37]+2*x[45]-x[49]+x[50]+x[53]+2*x[60]-x[61]+2*x[62]-x[65]+2*x[66]-x[67]-x[72]+x[74]+x[88])*q^17 + (x[28]-x[32]+2*x[35]-x[36]+x[39]+2*x[41]+x[47]+2*x[49]-x[50]+x[54]+x[58]+x[61]+3*x[64]+x[65]-2*x[66]+2*x[67]+x[69]+3*x[71]+x[78]-x[79]+x[85]+x[89]+x[90])*q^16 + (x[30]+x[32]+x[33]-x[35]+x[43]+3*x[45]-x[49]+2*x[50]+x[52]+x[53]+x[56]+2*x[60]-x[61]+2*x[62]-x[65]+4*x[66]-x[67]-x[72]+4*x[74]-x[78]+x[82]+x[86]+3*x[88]-x[89]+x[92])*q^15 + (2*x[35]-x[36]+x[39]+2*x[41]+2*x[47]+2*x[49]-x[50]+2*x[54]+x[61]+4*x[64]-2*x[66]+3*x[67]+2*x[69]+4*x[71]+x[72]+x[75]+3*x[78]-x[79]+x[80]+x[85]+2*x[89]+3*x[90]-x[92]+2*x[95]+x[100])*q^14 + (x[33]+x[36]+x[43]+2*x[45]-x[49]+3*x[50]+x[52]+2*x[53]+x[55]+x[56]+x[60]+2*x[62]-x[65]+4*x[66]-x[67]-x[72]+6*x[74]-x[78]+2*x[79]+2*x[82]+x[86]+4*x[88]-x[89]+3*x[92]+2*x[93]-x[96]+x[103])*q^13 + (x[35]+x[41]+x[47]+2*x[49]+3*x[54]-x[56]+2*x[64]+x[65]-x[66]+4*x[67]+2*x[69]+4*x[71]+x[72]+2*x[75]+4*x[78]-x[79]+2*x[80]+x[83]+x[85]+2*x[89]+4*x[90]-x[92]+4*x[95]+x[96]+x[100]+x[101]+x[104])*q^12 + (x[45]+2*x[50]+x[52]+x[53]+x[55]+2*x[56]+x[62]+3*x[66]+5*x[74]-x[78]+2*x[79]+x[81]+4*x[82]+x[86]+4*x[88]-x[89]+4*x[92]+3*x[93]-x[96]+x[98]+2*x[103])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[75]+4*x[78]+3*x[80]+x[83]+x[84]+2*x[89]+4*x[90]-x[92]+5*x[95]+x[96]+2*x[100]+x[101]+x[104]+x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[79]+x[81]+3*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+2*x[98]+4*x[103]-x[104])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[84]+x[89]+2*x[90]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105]+x[107])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #19 : [4, 2, 2, 2, 1, 1, 1, 1] dim = 62 A(O) = Z2 , |A(O)_0| = 2 g_s = V[6]+3*V[4]+4*V[3]+10*V[2]+12*V[1]+13*V[0] Z_G(x)_0 = Sp4+O3+O1 # Green Polys by orbit reps #19.1 : x[26] : [4, 2, 2, 2, 1, 1, 1, 1],[1] : [[2, 1], [1, 1, 1, 1]] Qxi[C7,19,1] = (x[26])*q^18 + (x[30]+x[33]+x[37]+x[62])*q^17 + (x[28]+x[35]+2*x[41]+x[58]+x[64]+x[67]+x[69])*q^16 + (x[30]+x[32]+x[33]+x[43]+2*x[45]+x[50]+x[52]+x[60]+2*x[62]+x[66]+2*x[74]+x[86])*q^15 + (2*x[35]+x[39]+2*x[41]+2*x[47]+x[49]+x[54]+x[61]+3*x[64]+2*x[67]+2*x[69]+2*x[71]+x[75]+x[78]+x[80]+2*x[90])*q^14 + (x[33]+x[36]+x[43]+2*x[45]+3*x[50]+x[52]+x[53]+x[55]+x[60]+2*x[62]+3*x[66]+5*x[74]+x[79]+x[82]+x[86]+2*x[88]+x[92]+2*x[93])*q^13 + (x[35]+x[41]+x[47]+2*x[49]+3*x[54]+2*x[64]+x[65]+4*x[67]+2*x[69]+3*x[71]+x[72]+2*x[75]+3*x[78]+2*x[80]+x[85]+x[89]+3*x[90]+3*x[95]+x[101])*q^12 + (x[45]+2*x[50]+x[52]+x[53]+x[55]+2*x[56]+x[62]+3*x[66]+5*x[74]+2*x[79]+x[81]+3*x[82]+x[86]+3*x[88]+3*x[92]+3*x[93]+x[98]+x[103])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[75]+4*x[78]+3*x[80]+x[83]+x[84]+2*x[89]+4*x[90]+4*x[95]+x[96]+x[100]+x[101]+x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[79]+x[81]+3*x[82]+x[86]+2*x[88]+4*x[92]+3*x[93]+2*x[98]+3*x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[84]+x[89]+2*x[90]+4*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+2*x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #19.2 : x[27] : [4, 2, 2, 2, 1, 1, 1, 1],[-1] : [[], [3, 2, 1, 1]] Qxi[C7,19,2] = (x[27])*q^18 + (x[38]+x[44])*q^17 + (x[31]+x[34]+x[42]+x[48]+x[52]+x[59]+x[63])*q^16 + (2*x[44]+x[46]+x[51]+x[54]+2*x[70]+x[77])*q^15 + (x[34]+x[42]+x[48]+x[52]+x[53]+2*x[55]+2*x[63]+x[68]+2*x[76]+x[81]+x[87])*q^14 + (x[44]+x[51]+2*x[54]+2*x[70]+x[73]+3*x[77]+x[80]+x[83]+x[94])*q^13 + (x[48]+x[52]+x[55]+x[56]+x[63]+x[68]+2*x[76]+3*x[81]+x[82]+x[87]+2*x[91]+x[97])*q^12 + (x[51]+x[54]+x[70]+2*x[77]+x[80]+2*x[83]+x[84]+3*x[94])*q^11 + (x[55]+x[68]+x[76]+2*x[81]+x[82]+x[87]+x[91]+x[97]+2*x[99]+x[102])*q^10 + (x[77]+x[80]+x[83]+x[84]+2*x[94]+x[106])*q^9 + (x[81]+x[91]+x[97]+x[98]+x[99]+x[102])*q^8 + (x[84]+x[94]+x[106])*q^7 + (x[99]+x[102])*q^6 + (x[106])*q^5 + (x[109])*q^4 # Green Polys by conj class in A(O) #19.1 : c = () |O_x_c^F| = 1/2*q^14*(q^2-q+1)*(q^2+q+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,19,1] = (x[26]+x[27])*q^18 + (x[30]+x[33]+x[37]+x[38]+x[44]+x[62])*q^17 + (x[28]+x[31]+x[34]+x[35]+2*x[41]+x[42]+x[48]+x[52]+x[58]+x[59]+x[63]+x[64]+x[67]+x[69])*q^16 + (x[30]+x[32]+x[33]+x[43]+2*x[44]+2*x[45]+x[46]+x[50]+x[51]+x[52]+x[54]+x[60]+2*x[62]+x[66]+2*x[70]+2*x[74]+x[77]+x[86])*q^15 + (x[34]+2*x[35]+x[39]+2*x[41]+x[42]+2*x[47]+x[48]+x[49]+x[52]+x[53]+x[54]+2*x[55]+x[61]+2*x[63]+3*x[64]+2*x[67]+x[68]+2*x[69]+2*x[71]+x[75]+2*x[76]+x[78]+x[80]+x[81]+x[87]+2*x[90])*q^14 + (x[33]+x[36]+x[43]+x[44]+2*x[45]+3*x[50]+x[51]+x[52]+x[53]+2*x[54]+x[55]+x[60]+2*x[62]+3*x[66]+2*x[70]+x[73]+5*x[74]+3*x[77]+x[79]+x[80]+x[82]+x[83]+x[86]+2*x[88]+x[92]+2*x[93]+x[94])*q^13 + (x[35]+x[41]+x[47]+x[48]+2*x[49]+x[52]+3*x[54]+x[55]+x[56]+x[63]+2*x[64]+x[65]+4*x[67]+x[68]+2*x[69]+3*x[71]+x[72]+2*x[75]+2*x[76]+3*x[78]+2*x[80]+3*x[81]+x[82]+x[85]+x[87]+x[89]+3*x[90]+2*x[91]+3*x[95]+x[97]+x[101])*q^12 + (x[45]+2*x[50]+x[51]+x[52]+x[53]+x[54]+x[55]+2*x[56]+x[62]+3*x[66]+x[70]+5*x[74]+2*x[77]+2*x[79]+x[80]+x[81]+3*x[82]+2*x[83]+x[84]+x[86]+3*x[88]+3*x[92]+3*x[93]+3*x[94]+x[98]+x[103])*q^11 + (x[47]+x[49]+2*x[54]+x[55]+x[64]+2*x[67]+x[68]+x[69]+2*x[71]+x[72]+x[75]+x[76]+4*x[78]+3*x[80]+2*x[81]+x[82]+x[83]+x[84]+x[87]+2*x[89]+4*x[90]+x[91]+4*x[95]+x[96]+x[97]+2*x[99]+x[100]+x[101]+x[102]+x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[77]+x[79]+x[80]+x[81]+3*x[82]+x[83]+x[84]+x[86]+2*x[88]+4*x[92]+3*x[93]+2*x[94]+2*x[98]+3*x[103]+x[106])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[81]+x[83]+x[84]+x[89]+2*x[90]+x[91]+4*x[95]+x[96]+x[97]+x[98]+x[99]+x[100]+2*x[101]+x[102]+2*x[104]+2*x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[84]+x[88]+2*x[92]+2*x[93]+x[94]+2*x[98]+3*x[103]+x[106]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[99]+x[100]+x[101]+x[102]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[106]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107]+x[109])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #19.2 : c = (1) |O_x_c^F| = 1/2*q^14*(q^2-q+1)*(q^2+q+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,19,2] = (x[26]-x[27])*q^18 + (x[30]+x[33]+x[37]-x[38]-x[44]+x[62])*q^17 + (x[28]-x[31]-x[34]+x[35]+2*x[41]-x[42]-x[48]-x[52]+x[58]-x[59]-x[63]+x[64]+x[67]+x[69])*q^16 + (x[30]+x[32]+x[33]+x[43]-2*x[44]+2*x[45]-x[46]+x[50]-x[51]+x[52]-x[54]+x[60]+2*x[62]+x[66]-2*x[70]+2*x[74]-x[77]+x[86])*q^15 + (-x[34]+2*x[35]+x[39]+2*x[41]-x[42]+2*x[47]-x[48]+x[49]-x[52]-x[53]+x[54]-2*x[55]+x[61]-2*x[63]+3*x[64]+2*x[67]-x[68]+2*x[69]+2*x[71]+x[75]-2*x[76]+x[78]+x[80]-x[81]-x[87]+2*x[90])*q^14 + (x[33]+x[36]+x[43]-x[44]+2*x[45]+3*x[50]-x[51]+x[52]+x[53]-2*x[54]+x[55]+x[60]+2*x[62]+3*x[66]-2*x[70]-x[73]+5*x[74]-3*x[77]+x[79]-x[80]+x[82]-x[83]+x[86]+2*x[88]+x[92]+2*x[93]-x[94])*q^13 + (x[35]+x[41]+x[47]-x[48]+2*x[49]-x[52]+3*x[54]-x[55]-x[56]-x[63]+2*x[64]+x[65]+4*x[67]-x[68]+2*x[69]+3*x[71]+x[72]+2*x[75]-2*x[76]+3*x[78]+2*x[80]-3*x[81]-x[82]+x[85]-x[87]+x[89]+3*x[90]-2*x[91]+3*x[95]-x[97]+x[101])*q^12 + (x[45]+2*x[50]-x[51]+x[52]+x[53]-x[54]+x[55]+2*x[56]+x[62]+3*x[66]-x[70]+5*x[74]-2*x[77]+2*x[79]-x[80]+x[81]+3*x[82]-2*x[83]-x[84]+x[86]+3*x[88]+3*x[92]+3*x[93]-3*x[94]+x[98]+x[103])*q^11 + (x[47]+x[49]+2*x[54]-x[55]+x[64]+2*x[67]-x[68]+x[69]+2*x[71]+x[72]+x[75]-x[76]+4*x[78]+3*x[80]-2*x[81]-x[82]+x[83]+x[84]-x[87]+2*x[89]+4*x[90]-x[91]+4*x[95]+x[96]-x[97]-2*x[99]+x[100]+x[101]-x[102]+x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]-x[77]+x[79]-x[80]+x[81]+3*x[82]-x[83]-x[84]+x[86]+2*x[88]+4*x[92]+3*x[93]-2*x[94]+2*x[98]+3*x[103]-x[106])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]-x[81]+x[83]+x[84]+x[89]+2*x[90]-x[91]+4*x[95]+x[96]-x[97]-x[98]-x[99]+x[100]+2*x[101]-x[102]+2*x[104]+2*x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]-x[84]+x[88]+2*x[92]+2*x[93]-x[94]+2*x[98]+3*x[103]-x[106]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]-x[99]+x[100]+x[101]-x[102]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]-x[106]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107]-x[109])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #20 : [4, 2, 2, 2, 2, 1, 1] dim = 66 A(O) = Z2 , |A(O)_0| = 2 g_s = V[6]+4*V[4]+2*V[3]+15*V[2]+8*V[1]+9*V[0] Z_G(x)_0 = O4+Sp2+O1 # Green Polys by orbit reps #20.1 : x[28] : [4, 2, 2, 2, 2, 1, 1],[1] : [[2, 1, 1, 1], [1, 1]] Qxi[C7,20,1] = (x[28])*q^16 + (x[30]+x[32]+x[45]+x[60])*q^15 + (2*x[35]+x[39]+x[41]+x[47]+x[49]+x[61]+2*x[64]+x[71])*q^14 + (x[33]+x[36]+x[43]+2*x[45]+2*x[50]+x[53]+x[60]+x[62]+3*x[66]+2*x[74]+x[88])*q^13 + (x[35]+x[41]+x[47]+2*x[49]+2*x[54]+2*x[64]+x[65]+3*x[67]+x[69]+3*x[71]+x[72]+x[75]+2*x[78]+x[85]+x[89]+x[90]+x[95])*q^12 + (x[45]+2*x[50]+x[52]+x[53]+x[55]+2*x[56]+x[62]+3*x[66]+4*x[74]+2*x[79]+2*x[82]+3*x[88]+2*x[92]+x[93])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[75]+4*x[78]+2*x[80]+x[83]+2*x[89]+3*x[90]+3*x[95]+x[96]+x[100])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[79]+x[81]+3*x[82]+x[86]+2*x[88]+4*x[92]+2*x[93]+x[98]+2*x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[84]+x[89]+2*x[90]+4*x[95]+x[96]+x[100]+x[101]+2*x[104]+x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+3*x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #20.2 : x[29] : [4, 2, 2, 2, 2, 1, 1],[-1] : [[2, 2, 2, 1], []] Qxi[C7,20,2] = (x[29])*q^16 + (x[32]+x[36])*q^15 + (x[35]+x[49]+x[61]+x[65])*q^14 + (x[36]+x[50]+2*x[66])*q^13 + (x[49]+x[65]+x[67]+x[72]+x[78]+x[89])*q^12 + (x[56]+x[66]+x[79]+x[92])*q^11 + (x[78]+x[89]+x[96])*q^10 + (x[92])*q^9 + (x[104])*q^8 # Green Polys by conj class in A(O) #20.1 : c = () |O_x_c^F| = 1/2*q^16*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,20,1] = (x[28]+x[29])*q^16 + (x[30]+2*x[32]+x[36]+x[45]+x[60])*q^15 + (3*x[35]+x[39]+x[41]+x[47]+2*x[49]+2*x[61]+2*x[64]+x[65]+x[71])*q^14 + (x[33]+2*x[36]+x[43]+2*x[45]+3*x[50]+x[53]+x[60]+x[62]+5*x[66]+2*x[74]+x[88])*q^13 + (x[35]+x[41]+x[47]+3*x[49]+2*x[54]+2*x[64]+2*x[65]+4*x[67]+x[69]+3*x[71]+2*x[72]+x[75]+3*x[78]+x[85]+2*x[89]+x[90]+x[95])*q^12 + (x[45]+2*x[50]+x[52]+x[53]+x[55]+3*x[56]+x[62]+4*x[66]+4*x[74]+3*x[79]+2*x[82]+3*x[88]+3*x[92]+x[93])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[75]+5*x[78]+2*x[80]+x[83]+3*x[89]+3*x[90]+3*x[95]+2*x[96]+x[100])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[79]+x[81]+3*x[82]+x[86]+2*x[88]+5*x[92]+2*x[93]+x[98]+2*x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[84]+x[89]+2*x[90]+4*x[95]+x[96]+x[100]+x[101]+3*x[104]+x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+3*x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #20.2 : c = (1) |O_x_c^F| = 1/2*q^16*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,20,2] = (x[28]-x[29])*q^16 + (x[30]-x[36]+x[45]+x[60])*q^15 + (x[35]+x[39]+x[41]+x[47]+2*x[64]-x[65]+x[71])*q^14 + (x[33]+x[43]+2*x[45]+x[50]+x[53]+x[60]+x[62]+x[66]+2*x[74]+x[88])*q^13 + (x[35]+x[41]+x[47]+x[49]+2*x[54]+2*x[64]+2*x[67]+x[69]+3*x[71]+x[75]+x[78]+x[85]+x[90]+x[95])*q^12 + (x[45]+2*x[50]+x[52]+x[53]+x[55]+x[56]+x[62]+2*x[66]+4*x[74]+x[79]+2*x[82]+3*x[88]+x[92]+x[93])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+x[75]+3*x[78]+2*x[80]+x[83]+x[89]+3*x[90]+3*x[95]+x[100])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[79]+x[81]+3*x[82]+x[86]+2*x[88]+3*x[92]+2*x[93]+x[98]+2*x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[84]+x[89]+2*x[90]+4*x[95]+x[96]+x[100]+x[101]+x[104]+x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+3*x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #21 : [4, 2, 2, 2, 2, 2] dim = 68 A(O) = Z2 , |A(O)_0| = 2 g_s = V[6]+5*V[4]+21*V[2]+10*V[0] Z_G(x)_0 = O5+O1 # Green Polys by orbit reps #21.1 : x[30] : [4, 2, 2, 2, 2, 2],[1] : [[2, 1, 1], [1, 1, 1]] Qxi[C7,21,1] = (x[30])*q^15 + (x[35]+x[41]+x[64])*q^14 + (x[33]+x[36]+x[43]+x[45]+x[50]+x[62]+x[66]+x[74])*q^13 + (x[35]+x[41]+x[47]+x[49]+x[54]+x[64]+x[65]+2*x[67]+x[69]+x[71]+x[75]+x[78]+x[90])*q^12 + (x[45]+2*x[50]+x[52]+x[55]+x[56]+x[62]+2*x[66]+3*x[74]+x[79]+x[82]+x[88]+x[92]+x[93])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+2*x[67]+x[69]+x[71]+x[72]+x[75]+3*x[78]+2*x[80]+x[89]+2*x[90]+2*x[95])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[79]+x[81]+2*x[82]+x[86]+x[88]+3*x[92]+2*x[93]+x[98]+x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[84]+x[89]+2*x[90]+3*x[95]+x[96]+x[101]+x[104]+x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+2*x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #21.2 : x[31] : [4, 2, 2, 2, 2, 2],[-1] : [[], [3, 2, 2]] Qxi[C7,21,2] = (x[31])*q^15 + (x[44])*q^14 + (x[34]+x[42]+x[55]+x[63])*q^13 + (x[44]+x[51]+x[54]+x[70]+x[77])*q^12 + (x[48]+x[52]+x[55]+x[56]+x[63]+x[68]+x[76]+x[81]+x[91])*q^11 + (x[51]+x[54]+x[70]+2*x[77]+x[80]+x[83]+x[94])*q^10 + (x[55]+x[68]+x[76]+2*x[81]+x[82]+x[87]+x[91]+x[99])*q^9 + (x[77]+x[80]+x[83]+x[84]+2*x[94])*q^8 + (x[81]+x[91]+x[97]+x[98]+x[99]+x[102])*q^7 + (x[84]+x[94]+x[106])*q^6 + (x[99]+x[102])*q^5 + (x[106])*q^4 + (x[109])*q^3 # Green Polys by conj class in A(O) #21.1 : c = () |O_x_c^F| = 1/2*q^18*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,21,1] = (x[30]+x[31])*q^15 + (x[35]+x[41]+x[44]+x[64])*q^14 + (x[33]+x[34]+x[36]+x[42]+x[43]+x[45]+x[50]+x[55]+x[62]+x[63]+x[66]+x[74])*q^13 + (x[35]+x[41]+x[44]+x[47]+x[49]+x[51]+2*x[54]+x[64]+x[65]+2*x[67]+x[69]+x[70]+x[71]+x[75]+x[77]+x[78]+x[90])*q^12 + (x[45]+x[48]+2*x[50]+2*x[52]+2*x[55]+2*x[56]+x[62]+x[63]+2*x[66]+x[68]+3*x[74]+x[76]+x[79]+x[81]+x[82]+x[88]+x[91]+x[92]+x[93])*q^11 + (x[47]+x[49]+x[51]+3*x[54]+x[64]+2*x[67]+x[69]+x[70]+x[71]+x[72]+x[75]+2*x[77]+3*x[78]+3*x[80]+x[83]+x[89]+2*x[90]+x[94]+2*x[95])*q^10 + (x[50]+x[53]+2*x[55]+x[56]+x[66]+x[68]+3*x[74]+x[76]+x[79]+3*x[81]+3*x[82]+x[86]+x[87]+x[88]+x[91]+3*x[92]+2*x[93]+x[98]+x[99]+x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+x[77]+2*x[78]+3*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+2*x[94]+3*x[95]+x[96]+x[101]+x[104]+x[105])*q^8 + (x[56]+x[74]+x[79]+2*x[81]+2*x[82]+x[88]+x[91]+2*x[92]+2*x[93]+x[97]+3*x[98]+x[99]+x[102]+2*x[103])*q^7 + (x[78]+x[80]+x[83]+2*x[84]+x[90]+x[94]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[99]+x[102]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]+x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #21.2 : c = (1) |O_x_c^F| = 1/2*q^18*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,21,2] = (x[30]-x[31])*q^15 + (x[35]+x[41]-x[44]+x[64])*q^14 + (x[33]-x[34]+x[36]-x[42]+x[43]+x[45]+x[50]-x[55]+x[62]-x[63]+x[66]+x[74])*q^13 + (x[35]+x[41]-x[44]+x[47]+x[49]-x[51]+x[64]+x[65]+2*x[67]+x[69]-x[70]+x[71]+x[75]-x[77]+x[78]+x[90])*q^12 + (x[45]-x[48]+2*x[50]+x[62]-x[63]+2*x[66]-x[68]+3*x[74]-x[76]+x[79]-x[81]+x[82]+x[88]-x[91]+x[92]+x[93])*q^11 + (x[47]+x[49]-x[51]+x[54]+x[64]+2*x[67]+x[69]-x[70]+x[71]+x[72]+x[75]-2*x[77]+3*x[78]+x[80]-x[83]+x[89]+2*x[90]-x[94]+2*x[95])*q^10 + (x[50]+x[53]+x[56]+x[66]-x[68]+3*x[74]-x[76]+x[79]-x[81]+x[82]+x[86]-x[87]+x[88]-x[91]+3*x[92]+2*x[93]+x[98]-x[99]+x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]-x[77]+2*x[78]+x[80]+x[89]+2*x[90]-2*x[94]+3*x[95]+x[96]+x[101]+x[104]+x[105])*q^8 + (x[56]+x[74]+x[79]+2*x[82]+x[88]-x[91]+2*x[92]+2*x[93]-x[97]+x[98]-x[99]-x[102]+2*x[103])*q^7 + (x[78]+x[80]+x[83]+x[90]-x[94]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]-x[106])*q^6 + (x[82]+x[92]+x[93]+x[98]-x[102]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]-x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]-x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #22 : [4, 3, 3, 1, 1, 1, 1] dim = 68 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+2*V[5]+3*V[4]+6*V[3]+10*V[2]+2*V[1]+13*V[0] Z_G(x)_0 = O1+Sp4+Sp2 # Green Polys by orbit reps #22.1 : x[32] : [4, 3, 3, 1, 1, 1, 1],[] : [[2, 2, 1, 1], [1]] Qxi[C7,22,1] = (x[32])*q^15 + (x[35]+x[39]+x[49]+x[61])*q^14 + (x[33]+x[36]+x[45]+x[50]+x[53]+x[60]+2*x[66])*q^13 + (x[35]+x[41]+2*x[49]+x[54]+x[64]+x[65]+2*x[67]+2*x[71]+x[72]+x[78]+x[85]+x[89])*q^12 + (x[45]+2*x[50]+x[52]+x[53]+2*x[56]+x[62]+3*x[66]+2*x[74]+2*x[79]+x[82]+2*x[88]+x[92])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+4*x[78]+x[80]+x[83]+2*x[89]+2*x[90]+x[95]+x[96]+x[100])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[79]+x[81]+3*x[82]+x[86]+2*x[88]+4*x[92]+x[93]+x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[84]+x[89]+2*x[90]+4*x[95]+x[96]+x[100]+x[101]+2*x[104])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+3*x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #22.1 : c = () |O_x_c^F| = q^20*(q^2-q+1)*(q^2+q+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,22,1] = (x[32])*q^15 + (x[35]+x[39]+x[49]+x[61])*q^14 + (x[33]+x[36]+x[45]+x[50]+x[53]+x[60]+2*x[66])*q^13 + (x[35]+x[41]+2*x[49]+x[54]+x[64]+x[65]+2*x[67]+2*x[71]+x[72]+x[78]+x[85]+x[89])*q^12 + (x[45]+2*x[50]+x[52]+x[53]+2*x[56]+x[62]+3*x[66]+2*x[74]+2*x[79]+x[82]+2*x[88]+x[92])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+2*x[67]+x[69]+2*x[71]+x[72]+4*x[78]+x[80]+x[83]+2*x[89]+2*x[90]+x[95]+x[96]+x[100])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[79]+x[81]+3*x[82]+x[86]+2*x[88]+4*x[92]+x[93]+x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[84]+x[89]+2*x[90]+4*x[95]+x[96]+x[100]+x[101]+2*x[104])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+3*x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #23 : [4, 3, 3, 2, 1, 1] dim = 72 A(O) = Z2 , |A(O)_0| = 2 g_s = V[6]+2*V[5]+4*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 #23.1 : x[33] : [4, 3, 3, 2, 1, 1],[1] : [[2, 2], [1, 1, 1]] Qxi[C7,23,1] = (x[33])*q^13 + (x[35]+x[41]+x[67])*q^12 + (x[45]+2*x[50]+x[52]+x[62]+x[66]+x[74]+x[79])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+2*x[67]+x[69]+x[71]+x[72]+2*x[78]+x[80]+x[90])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[79]+x[81]+2*x[82]+x[86]+x[88]+2*x[92]+x[93])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[84]+x[89]+2*x[90]+3*x[95]+x[96]+x[101])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+2*x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #23.2 : x[34] : [4, 3, 3, 2, 1, 1],[-1] : [[], [3, 3, 1]] Qxi[C7,23,2] = (x[34])*q^13 + (x[44]+x[51])*q^12 + (x[48]+x[52]+x[55]+x[63]+x[68])*q^11 + (x[51]+x[54]+x[70]+2*x[77]+x[80])*q^10 + (x[55]+x[68]+x[76]+2*x[81]+x[82]+x[87]+x[91])*q^9 + (x[77]+x[80]+x[83]+x[84]+2*x[94])*q^8 + (x[81]+x[91]+x[97]+x[98]+x[99]+x[102])*q^7 + (x[84]+x[94]+x[106])*q^6 + (x[99]+x[102])*q^5 + (x[106])*q^4 + (x[109])*q^3 # Green Polys by conj class in A(O) #23.1 : c = () |O_x_c^F| = 1/2*q^20*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,23,1] = (x[33]+x[34])*q^13 + (x[35]+x[41]+x[44]+x[51]+x[67])*q^12 + (x[45]+x[48]+2*x[50]+2*x[52]+x[55]+x[62]+x[63]+x[66]+x[68]+x[74]+x[79])*q^11 + (x[47]+x[49]+x[51]+3*x[54]+x[64]+2*x[67]+x[69]+x[70]+x[71]+x[72]+2*x[77]+2*x[78]+2*x[80]+x[90])*q^10 + (x[50]+x[53]+2*x[55]+x[56]+x[66]+x[68]+3*x[74]+x[76]+x[79]+3*x[81]+3*x[82]+x[86]+x[87]+x[88]+x[91]+2*x[92]+x[93])*q^9 + (x[54]+x[67]+x[71]+x[75]+x[77]+2*x[78]+3*x[80]+2*x[83]+2*x[84]+x[89]+2*x[90]+2*x[94]+3*x[95]+x[96]+x[101])*q^8 + (x[56]+x[74]+x[79]+2*x[81]+2*x[82]+x[88]+x[91]+2*x[92]+2*x[93]+x[97]+3*x[98]+x[99]+x[102]+2*x[103])*q^7 + (x[78]+x[80]+x[83]+2*x[84]+x[90]+x[94]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[99]+x[102]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]+x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #23.2 : c = (1) |O_x_c^F| = 1/2*q^20*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,23,2] = (x[33]-x[34])*q^13 + (x[35]+x[41]-x[44]-x[51]+x[67])*q^12 + (x[45]-x[48]+2*x[50]-x[55]+x[62]-x[63]+x[66]-x[68]+x[74]+x[79])*q^11 + (x[47]+x[49]-x[51]+x[54]+x[64]+2*x[67]+x[69]-x[70]+x[71]+x[72]-2*x[77]+2*x[78]+x[90])*q^10 + (x[50]+x[53]+x[56]+x[66]-x[68]+3*x[74]-x[76]+x[79]-x[81]+x[82]+x[86]-x[87]+x[88]-x[91]+2*x[92]+x[93])*q^9 + (x[54]+x[67]+x[71]+x[75]-x[77]+2*x[78]+x[80]+x[89]+2*x[90]-2*x[94]+3*x[95]+x[96]+x[101])*q^8 + (x[56]+x[74]+x[79]+2*x[82]+x[88]-x[91]+2*x[92]+2*x[93]-x[97]+x[98]-x[99]-x[102]+2*x[103])*q^7 + (x[78]+x[80]+x[83]+x[90]-x[94]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]-x[106])*q^6 + (x[82]+x[92]+x[93]+x[98]-x[102]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]-x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]-x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #24 : [4, 3, 3, 2, 2] dim = 74 A(O) = Z2 , |A(O)_0| = 2 g_s = V[6]+2*V[5]+5*V[4]+6*V[3]+7*V[2]+6*V[1]+4*V[0] Z_G(x)_0 = O2+Sp2+O1 # Green Polys by orbit reps #24.1 : x[35] : [4, 3, 3, 2, 2],[1] : [[2, 2, 1], [1, 1]] Qxi[C7,24,1] = (x[35])*q^12 + (x[45]+x[50]+x[66])*q^11 + (x[47]+x[49]+x[54]+x[64]+x[67]+x[71]+x[72]+x[78])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+2*x[74]+x[79]+x[82]+x[88]+x[92])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+x[80]+x[83]+x[89]+x[90]+2*x[95]+x[96])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+x[93]+x[98]+x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[104]+x[105])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #24.2 : x[36] : [4, 3, 3, 2, 2],[-1] : [[2, 2, 2], [1]] Qxi[C7,24,2] = (x[36])*q^12 + (x[49]+x[65])*q^11 + (x[56]+x[66])*q^10 + (x[78]+x[89])*q^9 + (x[92])*q^8 + (x[104])*q^7 # Green Polys by conj class in A(O) #24.1 : c = () |O_x_c^F| = 1/2*q^21*(q+1)*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,24,1] = (x[35]+x[36])*q^12 + (x[45]+x[49]+x[50]+x[65]+x[66])*q^11 + (x[47]+x[49]+x[54]+x[56]+x[64]+x[66]+x[67]+x[71]+x[72]+x[78])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+2*x[74]+x[78]+x[79]+x[82]+x[88]+x[89]+x[92])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+x[80]+x[83]+x[89]+x[90]+x[92]+2*x[95]+x[96])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+x[93]+x[98]+x[103]+x[104])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[104]+x[105])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #24.2 : c = (1) |O_x_c^F| = 1/2*q^21*(q-1)*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,24,2] = (x[35]-x[36])*q^12 + (x[45]-x[49]+x[50]-x[65]+x[66])*q^11 + (x[47]+x[49]+x[54]-x[56]+x[64]-x[66]+x[67]+x[71]+x[72]+x[78])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+2*x[74]-x[78]+x[79]+x[82]+x[88]-x[89]+x[92])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+x[80]+x[83]+x[89]+x[90]-x[92]+2*x[95]+x[96])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+x[93]+x[98]+x[103]-x[104])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[104]+x[105])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #25 : [4, 4, 1, 1, 1, 1, 1, 1] dim = 64 A(O) = Z2 , |A(O)_0| = 2 g_s = 3*V[6]+V[4]+12*V[3]+3*V[2]+22*V[0] Z_G(x)_0 = Sp6+O2 # Green Polys by orbit reps #25.1 : x[37] : [4, 4, 1, 1, 1, 1, 1, 1],[1] : [[2], [2, 1, 1, 1]] Qxi[C7,25,1] = (x[37])*q^17 + (x[41]+x[58]+x[69])*q^16 + (x[43]+x[45]+x[52]+x[62]+x[74]+x[86])*q^15 + (x[39]+x[41]+x[47]+x[54]+x[64]+2*x[69]+x[71]+x[75]+x[80]+x[90])*q^14 + (x[43]+x[45]+x[50]+x[52]+x[53]+x[55]+x[60]+x[62]+3*x[74]+x[82]+x[86]+x[88]+2*x[93])*q^13 + (x[41]+x[47]+x[49]+2*x[54]+x[64]+x[67]+2*x[69]+2*x[71]+2*x[75]+x[78]+2*x[80]+x[85]+2*x[90]+2*x[95]+x[101])*q^12 + (x[45]+x[50]+x[52]+x[53]+x[55]+x[56]+x[62]+x[66]+4*x[74]+x[81]+2*x[82]+x[86]+2*x[88]+x[92]+3*x[93]+x[98]+x[103])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+x[67]+x[69]+2*x[71]+x[75]+2*x[78]+3*x[80]+x[83]+x[84]+x[89]+3*x[90]+3*x[95]+x[100]+x[101]+x[105])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[81]+3*x[82]+x[86]+2*x[88]+2*x[92]+3*x[93]+2*x[98]+2*x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[84]+x[89]+2*x[90]+4*x[95]+x[100]+2*x[101]+x[104]+2*x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #25.2 : x[38] : [4, 4, 1, 1, 1, 1, 1, 1],[-1] : [[1], [3, 1, 1, 1]] Qxi[C7,25,2] = (x[38])*q^17 + (x[42]+x[52]+x[59])*q^16 + (x[44]+x[46]+x[54]+2*x[70])*q^15 + (x[40]+x[42]+x[48]+x[52]+x[53]+x[55]+x[63]+2*x[76]+x[81]+x[87])*q^14 + (x[44]+x[46]+2*x[54]+2*x[70]+2*x[73]+2*x[77]+x[80]+x[83]+x[94])*q^13 + (x[42]+x[48]+x[52]+x[53]+x[55]+x[56]+x[63]+3*x[76]+3*x[81]+x[82]+x[87]+x[91]+x[97])*q^12 + (x[46]+x[51]+2*x[54]+2*x[70]+x[73]+2*x[77]+x[80]+3*x[83]+x[84]+3*x[94])*q^11 + (x[48]+x[53]+x[55]+x[56]+x[68]+3*x[76]+3*x[81]+x[82]+x[87]+x[91]+2*x[97]+2*x[99]+x[102])*q^10 + (x[54]+x[73]+2*x[77]+x[80]+3*x[83]+x[84]+3*x[94]+x[106])*q^9 + (x[76]+2*x[81]+x[82]+x[91]+2*x[97]+x[98]+2*x[99]+x[102])*q^8 + (x[83]+2*x[84]+2*x[94]+x[106])*q^7 + (x[97]+2*x[99]+x[102])*q^6 + (2*x[106])*q^5 + (x[109])*q^4 # Green Polys by conj class in A(O) #25.1 : c = () |O_x_c^F| = 1/2*q^21*(q+1)*(q^2+1)*(q^4+1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,25,1] = (x[37]+x[38])*q^17 + (x[41]+x[42]+x[52]+x[58]+x[59]+x[69])*q^16 + (x[43]+x[44]+x[45]+x[46]+x[52]+x[54]+x[62]+2*x[70]+x[74]+x[86])*q^15 + (x[39]+x[40]+x[41]+x[42]+x[47]+x[48]+x[52]+x[53]+x[54]+x[55]+x[63]+x[64]+2*x[69]+x[71]+x[75]+2*x[76]+x[80]+x[81]+x[87]+x[90])*q^14 + (x[43]+x[44]+x[45]+x[46]+x[50]+x[52]+x[53]+2*x[54]+x[55]+x[60]+x[62]+2*x[70]+2*x[73]+3*x[74]+2*x[77]+x[80]+x[82]+x[83]+x[86]+x[88]+2*x[93]+x[94])*q^13 + (x[41]+x[42]+x[47]+x[48]+x[49]+x[52]+x[53]+2*x[54]+x[55]+x[56]+x[63]+x[64]+x[67]+2*x[69]+2*x[71]+2*x[75]+3*x[76]+x[78]+2*x[80]+3*x[81]+x[82]+x[85]+x[87]+2*x[90]+x[91]+2*x[95]+x[97]+x[101])*q^12 + (x[45]+x[46]+x[50]+x[51]+x[52]+x[53]+2*x[54]+x[55]+x[56]+x[62]+x[66]+2*x[70]+x[73]+4*x[74]+2*x[77]+x[80]+x[81]+2*x[82]+3*x[83]+x[84]+x[86]+2*x[88]+x[92]+3*x[93]+3*x[94]+x[98]+x[103])*q^11 + (x[47]+x[48]+x[49]+x[53]+2*x[54]+x[55]+x[56]+x[64]+x[67]+x[68]+x[69]+2*x[71]+x[75]+3*x[76]+2*x[78]+3*x[80]+3*x[81]+x[82]+x[83]+x[84]+x[87]+x[89]+3*x[90]+x[91]+3*x[95]+2*x[97]+2*x[99]+x[100]+x[101]+x[102]+x[105])*q^10 + (x[50]+x[53]+x[54]+x[55]+x[56]+x[66]+x[73]+3*x[74]+2*x[77]+x[80]+x[81]+3*x[82]+3*x[83]+x[84]+x[86]+2*x[88]+2*x[92]+3*x[93]+3*x[94]+2*x[98]+2*x[103]+x[106])*q^9 + (x[54]+x[67]+x[71]+x[75]+x[76]+2*x[78]+2*x[80]+2*x[81]+x[82]+x[83]+x[84]+x[89]+2*x[90]+x[91]+4*x[95]+2*x[97]+x[98]+2*x[99]+x[100]+2*x[101]+x[102]+x[104]+2*x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[83]+2*x[84]+x[88]+2*x[92]+2*x[93]+2*x[94]+2*x[98]+3*x[103]+x[106]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[97]+2*x[99]+x[100]+x[101]+x[102]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+2*x[106]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107]+x[109])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #25.2 : c = (1) |O_x_c^F| = 1/2*q^21*(q-1)*(q^2+1)*(q^4+1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,25,2] = (x[37]-x[38])*q^17 + (x[41]-x[42]-x[52]+x[58]-x[59]+x[69])*q^16 + (x[43]-x[44]+x[45]-x[46]+x[52]-x[54]+x[62]-2*x[70]+x[74]+x[86])*q^15 + (x[39]-x[40]+x[41]-x[42]+x[47]-x[48]-x[52]-x[53]+x[54]-x[55]-x[63]+x[64]+2*x[69]+x[71]+x[75]-2*x[76]+x[80]-x[81]-x[87]+x[90])*q^14 + (x[43]-x[44]+x[45]-x[46]+x[50]+x[52]+x[53]-2*x[54]+x[55]+x[60]+x[62]-2*x[70]-2*x[73]+3*x[74]-2*x[77]-x[80]+x[82]-x[83]+x[86]+x[88]+2*x[93]-x[94])*q^13 + (x[41]-x[42]+x[47]-x[48]+x[49]-x[52]-x[53]+2*x[54]-x[55]-x[56]-x[63]+x[64]+x[67]+2*x[69]+2*x[71]+2*x[75]-3*x[76]+x[78]+2*x[80]-3*x[81]-x[82]+x[85]-x[87]+2*x[90]-x[91]+2*x[95]-x[97]+x[101])*q^12 + (x[45]-x[46]+x[50]-x[51]+x[52]+x[53]-2*x[54]+x[55]+x[56]+x[62]+x[66]-2*x[70]-x[73]+4*x[74]-2*x[77]-x[80]+x[81]+2*x[82]-3*x[83]-x[84]+x[86]+2*x[88]+x[92]+3*x[93]-3*x[94]+x[98]+x[103])*q^11 + (x[47]-x[48]+x[49]-x[53]+2*x[54]-x[55]-x[56]+x[64]+x[67]-x[68]+x[69]+2*x[71]+x[75]-3*x[76]+2*x[78]+3*x[80]-3*x[81]-x[82]+x[83]+x[84]-x[87]+x[89]+3*x[90]-x[91]+3*x[95]-2*x[97]-2*x[99]+x[100]+x[101]-x[102]+x[105])*q^10 + (x[50]+x[53]-x[54]+x[55]+x[56]+x[66]-x[73]+3*x[74]-2*x[77]-x[80]+x[81]+3*x[82]-3*x[83]-x[84]+x[86]+2*x[88]+2*x[92]+3*x[93]-3*x[94]+2*x[98]+2*x[103]-x[106])*q^9 + (x[54]+x[67]+x[71]+x[75]-x[76]+2*x[78]+2*x[80]-2*x[81]-x[82]+x[83]+x[84]+x[89]+2*x[90]-x[91]+4*x[95]-2*x[97]-x[98]-2*x[99]+x[100]+2*x[101]-x[102]+x[104]+2*x[105])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]-x[83]-2*x[84]+x[88]+2*x[92]+2*x[93]-2*x[94]+2*x[98]+3*x[103]-x[106]+x[108])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]-x[97]-2*x[99]+x[100]+x[101]-x[102]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]-2*x[106]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107]-x[109])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #26 : [4, 4, 2, 1, 1, 1, 1] dim = 70 A(O) = Z2 , |A(O)_0| = 2 g_s = 3*V[6]+3*V[4]+8*V[3]+6*V[2]+4*V[1]+11*V[0] Z_G(x)_0 = O2+Sp4+O1 # Green Polys by orbit reps #26.1 : x[39] : [4, 4, 2, 1, 1, 1, 1],[1] : [[2, 1, 1, 1], [2]] Qxi[C7,26,1] = (x[39])*q^14 + (x[45]+x[53]+x[60])*q^13 + (x[41]+x[49]+x[54]+x[64]+2*x[71]+x[85])*q^12 + (x[45]+x[50]+x[52]+x[53]+x[56]+x[62]+x[66]+2*x[74]+x[82]+2*x[88])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+x[67]+x[69]+2*x[71]+2*x[78]+x[80]+x[83]+x[89]+2*x[90]+x[95]+x[100])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[81]+3*x[82]+x[86]+2*x[88]+2*x[92]+x[93]+x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[84]+x[89]+2*x[90]+4*x[95]+x[100]+x[101]+x[104])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+3*x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #26.2 : x[40] : [4, 4, 2, 1, 1, 1, 1],[-1] : [[1, 1, 1, 1], [3]] Qxi[C7,26,2] = (x[40])*q^14 + (x[46]+x[73])*q^13 + (x[42]+x[53]+x[76])*q^12 + (x[46]+x[54]+x[70]+x[73]+x[83])*q^11 + (x[48]+x[53]+x[56]+2*x[76]+x[81]+x[97])*q^10 + (x[54]+x[73]+x[77]+2*x[83]+x[94])*q^9 + (x[76]+x[81]+x[82]+x[97]+x[99])*q^8 + (x[83]+x[84]+x[94])*q^7 + (x[97]+x[99])*q^6 + (x[106])*q^5 # Green Polys by conj class in A(O) #26.1 : c = () |O_x_c^F| = 1/2*q^21*(q^2+q+1)*(q^3+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,26,1] = (x[39]+x[40])*q^14 + (x[45]+x[46]+x[53]+x[60]+x[73])*q^13 + (x[41]+x[42]+x[49]+x[53]+x[54]+x[64]+2*x[71]+x[76]+x[85])*q^12 + (x[45]+x[46]+x[50]+x[52]+x[53]+x[54]+x[56]+x[62]+x[66]+x[70]+x[73]+2*x[74]+x[82]+x[83]+2*x[88])*q^11 + (x[47]+x[48]+x[49]+x[53]+2*x[54]+x[56]+x[64]+x[67]+x[69]+2*x[71]+2*x[76]+2*x[78]+x[80]+x[81]+x[83]+x[89]+2*x[90]+x[95]+x[97]+x[100])*q^10 + (x[50]+x[53]+x[54]+x[55]+x[56]+x[66]+x[73]+3*x[74]+x[77]+x[81]+3*x[82]+2*x[83]+x[86]+2*x[88]+2*x[92]+x[93]+x[94]+x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]+x[76]+2*x[78]+2*x[80]+x[81]+x[82]+x[83]+x[84]+x[89]+2*x[90]+4*x[95]+x[97]+x[99]+x[100]+x[101]+x[104])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[83]+x[84]+x[88]+2*x[92]+2*x[93]+x[94]+2*x[98]+3*x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[97]+x[99]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[106]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #26.2 : c = (1) |O_x_c^F| = 1/2*q^21*(q^2-q+1)*(q^3-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,26,2] = (x[39]-x[40])*q^14 + (x[45]-x[46]+x[53]+x[60]-x[73])*q^13 + (x[41]-x[42]+x[49]-x[53]+x[54]+x[64]+2*x[71]-x[76]+x[85])*q^12 + (x[45]-x[46]+x[50]+x[52]+x[53]-x[54]+x[56]+x[62]+x[66]-x[70]-x[73]+2*x[74]+x[82]-x[83]+2*x[88])*q^11 + (x[47]-x[48]+x[49]-x[53]+2*x[54]-x[56]+x[64]+x[67]+x[69]+2*x[71]-2*x[76]+2*x[78]+x[80]-x[81]+x[83]+x[89]+2*x[90]+x[95]-x[97]+x[100])*q^10 + (x[50]+x[53]-x[54]+x[55]+x[56]+x[66]-x[73]+3*x[74]-x[77]+x[81]+3*x[82]-2*x[83]+x[86]+2*x[88]+2*x[92]+x[93]-x[94]+x[103])*q^9 + (x[54]+x[67]+x[71]+x[75]-x[76]+2*x[78]+2*x[80]-x[81]-x[82]+x[83]+x[84]+x[89]+2*x[90]+4*x[95]-x[97]-x[99]+x[100]+x[101]+x[104])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]-x[83]-x[84]+x[88]+2*x[92]+2*x[93]-x[94]+2*x[98]+3*x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]-x[97]-x[99]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]-x[106]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #27 : [4, 4, 2, 2, 1, 1] dim = 74 A(O) = Z2^2 , |A(O)_0| = 4 g_s = 3*V[6]+5*V[4]+4*V[3]+10*V[2]+4*V[1]+5*V[0] Z_G(x)_0 = Sp2+2*O2 # Green Polys by orbit reps #27.1 : x[41] : [4, 4, 2, 2, 1, 1],[1, 1] : [[2, 1], [2, 1, 1]] Qxi[C7,27,1] = (x[41])*q^12 + (x[45]+x[50]+x[52]+x[62]+x[74])*q^11 + (x[47]+x[49]+2*x[54]+x[64]+x[67]+x[69]+x[71]+x[78]+x[80]+x[90])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+3*x[74]+x[81]+2*x[82]+x[86]+x[88]+x[92]+x[93])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+2*x[80]+x[83]+x[84]+x[89]+2*x[90]+3*x[95]+x[101])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+2*x[93]+2*x[98]+2*x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #27.2 : x[42] : [4, 4, 2, 2, 1, 1],[-1, 1] : [[1, 1], [3, 1, 1]] Qxi[C7,27,2] = (x[42])*q^12 + (x[46]+x[54]+x[70])*q^11 + (x[48]+x[53]+x[56]+2*x[76]+x[81])*q^10 + (x[54]+x[73]+x[77]+2*x[83]+x[94])*q^9 + (x[76]+x[81]+x[82]+x[97]+x[99])*q^8 + (x[83]+x[84]+x[94])*q^7 + (x[97]+x[99])*q^6 + (x[106])*q^5 #27.3 : x[43] : [4, 4, 2, 2, 1, 1],[1, -1] : [[2], [2, 2, 1]] Qxi[C7,27,3] = (x[43])*q^12 + (x[47]+x[69]+x[75])*q^11 + (x[55]+x[74]+x[93])*q^10 + (x[75]+x[80]+x[95])*q^9 + (x[93]+x[98])*q^8 + (x[105])*q^7 #27.4 : x[44] : [4, 4, 2, 2, 1, 1],[-1, -1] : [[1], [3, 2, 1]] Qxi[C7,27,4] = (x[44])*q^12 + (x[48]+x[52]+x[55]+x[63])*q^11 + (x[51]+x[54]+x[70]+2*x[77]+x[80])*q^10 + (x[55]+x[68]+x[76]+2*x[81]+x[82]+x[87]+x[91])*q^9 + (x[77]+x[80]+x[83]+x[84]+2*x[94])*q^8 + (x[81]+x[91]+x[97]+x[98]+x[99]+x[102])*q^7 + (x[84]+x[94]+x[106])*q^6 + (x[99]+x[102])*q^5 + (x[106])*q^4 + (x[109])*q^3 # Green Polys by conj class in A(O) #27.1 : c = () |O_x_c^F| = 1/4*q^22*(q^2+q+1)*(q+1)*(q^2+1)*(q^3+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,27,1] = (x[41]+x[42]+x[43]+x[44])*q^12 + (x[45]+x[46]+x[47]+x[48]+x[50]+2*x[52]+x[54]+x[55]+x[62]+x[63]+x[69]+x[70]+x[74]+x[75])*q^11 + (x[47]+x[48]+x[49]+x[51]+x[53]+3*x[54]+x[55]+x[56]+x[64]+x[67]+x[69]+x[70]+x[71]+x[74]+2*x[76]+2*x[77]+x[78]+2*x[80]+x[81]+x[90]+x[93])*q^10 + (x[50]+x[53]+x[54]+2*x[55]+x[56]+x[66]+x[68]+x[73]+3*x[74]+x[75]+x[76]+x[77]+x[80]+3*x[81]+3*x[82]+2*x[83]+x[86]+x[87]+x[88]+x[91]+x[92]+x[93]+x[94]+x[95])*q^9 + (x[54]+x[67]+x[71]+x[75]+x[76]+x[77]+2*x[78]+3*x[80]+x[81]+x[82]+2*x[83]+2*x[84]+x[89]+2*x[90]+x[93]+2*x[94]+3*x[95]+x[97]+x[98]+x[99]+x[101])*q^8 + (x[56]+x[74]+x[79]+2*x[81]+2*x[82]+x[83]+x[84]+x[88]+x[91]+2*x[92]+2*x[93]+x[94]+x[97]+3*x[98]+x[99]+x[102]+2*x[103]+x[105])*q^7 + (x[78]+x[80]+x[83]+2*x[84]+x[90]+x[94]+2*x[95]+x[96]+x[97]+x[99]+x[100]+x[101]+x[104]+2*x[105]+x[106])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[99]+x[102]+2*x[103]+x[106]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]+x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #27.2 : c = (1) |O_x_c^F| = 1/4*q^22*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,27,2] = (x[41]-x[42]+x[43]-x[44])*q^12 + (x[45]-x[46]+x[47]-x[48]+x[50]-x[54]-x[55]+x[62]-x[63]+x[69]-x[70]+x[74]+x[75])*q^11 + (x[47]-x[48]+x[49]-x[51]-x[53]+x[54]+x[55]-x[56]+x[64]+x[67]+x[69]-x[70]+x[71]+x[74]-2*x[76]-2*x[77]+x[78]-x[81]+x[90]+x[93])*q^10 + (x[50]+x[53]-x[54]+x[56]+x[66]-x[68]-x[73]+3*x[74]+x[75]-x[76]-x[77]+x[80]-x[81]+x[82]-2*x[83]+x[86]-x[87]+x[88]-x[91]+x[92]+x[93]-x[94]+x[95])*q^9 + (x[54]+x[67]+x[71]+x[75]-x[76]-x[77]+2*x[78]+x[80]-x[81]-x[82]+x[89]+2*x[90]+x[93]-2*x[94]+3*x[95]-x[97]+x[98]-x[99]+x[101])*q^8 + (x[56]+x[74]+x[79]+2*x[82]-x[83]-x[84]+x[88]-x[91]+2*x[92]+2*x[93]-x[94]-x[97]+x[98]-x[99]-x[102]+2*x[103]+x[105])*q^7 + (x[78]+x[80]+x[83]+x[90]-x[94]+2*x[95]+x[96]-x[97]-x[99]+x[100]+x[101]+x[104]+2*x[105]-x[106])*q^6 + (x[82]+x[92]+x[93]+x[98]-x[102]+2*x[103]-x[106]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]-x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]-x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #27.3 : c = (2) |O_x_c^F| = 1/4*q^22*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,27,3] = (x[41]+x[42]-x[43]-x[44])*q^12 + (x[45]+x[46]-x[47]-x[48]+x[50]+x[54]-x[55]+x[62]-x[63]-x[69]+x[70]+x[74]-x[75])*q^11 + (x[47]+x[48]+x[49]-x[51]+x[53]+x[54]-x[55]+x[56]+x[64]+x[67]+x[69]-x[70]+x[71]-x[74]+2*x[76]-2*x[77]+x[78]+x[81]+x[90]-x[93])*q^10 + (x[50]+x[53]+x[54]+x[56]+x[66]-x[68]+x[73]+3*x[74]-x[75]-x[76]+x[77]-x[80]-x[81]+x[82]+2*x[83]+x[86]-x[87]+x[88]-x[91]+x[92]+x[93]+x[94]-x[95])*q^9 + (x[54]+x[67]+x[71]+x[75]+x[76]-x[77]+2*x[78]+x[80]+x[81]+x[82]+x[89]+2*x[90]-x[93]-2*x[94]+3*x[95]+x[97]-x[98]+x[99]+x[101])*q^8 + (x[56]+x[74]+x[79]+2*x[82]+x[83]+x[84]+x[88]-x[91]+2*x[92]+2*x[93]+x[94]-x[97]+x[98]-x[99]-x[102]+2*x[103]-x[105])*q^7 + (x[78]+x[80]+x[83]+x[90]-x[94]+2*x[95]+x[96]+x[97]+x[99]+x[100]+x[101]+x[104]+2*x[105]-x[106])*q^6 + (x[82]+x[92]+x[93]+x[98]-x[102]+2*x[103]+x[106]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]-x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]-x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #27.4 : c = (12) |O_x_c^F| = 1/4*q^22*(q^2-q+1)*(q-1)*(q^2+1)*(q^3-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,27,4] = (x[41]-x[42]-x[43]+x[44])*q^12 + (x[45]-x[46]-x[47]+x[48]+x[50]+2*x[52]-x[54]+x[55]+x[62]+x[63]-x[69]-x[70]+x[74]-x[75])*q^11 + (x[47]-x[48]+x[49]+x[51]-x[53]+3*x[54]-x[55]-x[56]+x[64]+x[67]+x[69]+x[70]+x[71]-x[74]-2*x[76]+2*x[77]+x[78]+2*x[80]-x[81]+x[90]-x[93])*q^10 + (x[50]+x[53]-x[54]+2*x[55]+x[56]+x[66]+x[68]-x[73]+3*x[74]-x[75]+x[76]-x[77]-x[80]+3*x[81]+3*x[82]-2*x[83]+x[86]+x[87]+x[88]+x[91]+x[92]+x[93]-x[94]-x[95])*q^9 + (x[54]+x[67]+x[71]+x[75]-x[76]+x[77]+2*x[78]+3*x[80]-x[81]-x[82]+2*x[83]+2*x[84]+x[89]+2*x[90]-x[93]+2*x[94]+3*x[95]-x[97]-x[98]-x[99]+x[101])*q^8 + (x[56]+x[74]+x[79]+2*x[81]+2*x[82]-x[83]-x[84]+x[88]+x[91]+2*x[92]+2*x[93]-x[94]+x[97]+3*x[98]+x[99]+x[102]+2*x[103]-x[105])*q^7 + (x[78]+x[80]+x[83]+2*x[84]+x[90]+x[94]+2*x[95]+x[96]-x[97]-x[99]+x[100]+x[101]+x[104]+2*x[105]+x[106])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[99]+x[102]+2*x[103]-x[106]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]+x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #28 : [4, 4, 2, 2, 2] dim = 76 A(O) = Z2 , |A(O)_0| = 2 g_s = 3*V[6]+7*V[4]+15*V[2]+4*V[0] Z_G(x)_0 = O3+O2 # Green Polys by orbit reps #28.1 : x[45] : [4, 4, 2, 2, 2],[1] : [[2, 1, 1], [2, 1]] Qxi[C7,28,1] = (x[45])*q^11 + (x[47]+x[49]+x[54]+x[64]+x[71])*q^10 + (x[50]+x[53]+x[55]+x[56]+x[66]+2*x[74]+x[82]+x[88])*q^9 + (x[54]+x[67]+x[71]+x[75]+2*x[78]+x[80]+x[83]+x[89]+x[90]+2*x[95])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92]+x[93]+x[98]+x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[104]+x[105])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #28.2 : x[46] : [4, 4, 2, 2, 2],[-1] : [[1, 1, 1], [3, 1]] Qxi[C7,28,2] = (x[46])*q^11 + (x[48]+x[53]+x[76])*q^10 + (x[54]+x[73]+x[77]+x[83])*q^9 + (x[76]+x[81]+x[82]+x[97])*q^8 + (x[83]+x[84]+x[94])*q^7 + (x[97]+x[99])*q^6 + (x[106])*q^5 # Green Polys by conj class in A(O) #28.1 : c = () |O_x_c^F| = 1/2*q^23*(q+1)*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,28,1] = (x[45]+x[46])*q^11 + (x[47]+x[48]+x[49]+x[53]+x[54]+x[64]+x[71]+x[76])*q^10 + (x[50]+x[53]+x[54]+x[55]+x[56]+x[66]+x[73]+2*x[74]+x[77]+x[82]+x[83]+x[88])*q^9 + (x[54]+x[67]+x[71]+x[75]+x[76]+2*x[78]+x[80]+x[81]+x[82]+x[83]+x[89]+x[90]+2*x[95]+x[97])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[83]+x[84]+x[88]+2*x[92]+x[93]+x[94]+x[98]+x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[97]+x[99]+x[100]+x[104]+x[105])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]+x[106])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #28.2 : c = (1) |O_x_c^F| = 1/2*q^23*(q-1)*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,28,2] = (x[45]-x[46])*q^11 + (x[47]-x[48]+x[49]-x[53]+x[54]+x[64]+x[71]-x[76])*q^10 + (x[50]+x[53]-x[54]+x[55]+x[56]+x[66]-x[73]+2*x[74]-x[77]+x[82]-x[83]+x[88])*q^9 + (x[54]+x[67]+x[71]+x[75]-x[76]+2*x[78]+x[80]-x[81]-x[82]+x[83]+x[89]+x[90]+2*x[95]-x[97])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]-x[83]-x[84]+x[88]+2*x[92]+x[93]-x[94]+x[98]+x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]-x[97]-x[99]+x[100]+x[104]+x[105])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103]-x[106])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #29 : [4, 4, 3, 3] dim = 78 A(O) = Z2 , |A(O)_0| = 2 g_s = 3*V[6]+4*V[5]+4*V[4]+4*V[3]+4*V[2]+4*V[1]+4*V[0] Z_G(x)_0 = Sp2+O2 # Green Polys by orbit reps #29.1 : x[47] : [4, 4, 3, 3],[1] : [[2, 1], [2, 2]] Qxi[C7,29,1] = (x[47])*q^10 + (x[50]+x[55]+x[74])*q^9 + (x[54]+x[67]+x[75]+x[78]+x[80]+x[95])*q^8 + (x[56]+x[74]+x[79]+x[81]+x[82]+x[92]+x[93]+x[98])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+x[95]+x[96]+x[105])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #29.2 : x[48] : [4, 4, 3, 3],[-1] : [[1, 1], [3, 2]] Qxi[C7,29,2] = (x[48])*q^10 + (x[51]+x[54]+x[77])*q^9 + (x[55]+x[68]+x[76]+x[81]+x[82])*q^8 + (x[77]+x[80]+x[83]+x[84]+x[94])*q^7 + (x[81]+x[91]+x[97]+x[98]+x[99])*q^6 + (x[84]+x[94]+x[106])*q^5 + (x[99]+x[102])*q^4 + (x[106])*q^3 + (x[109])*q^2 # Green Polys by conj class in A(O) #29.1 : c = () |O_x_c^F| = 1/2*q^25*(q+1)*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,29,1] = (x[47]+x[48])*q^10 + (x[50]+x[51]+x[54]+x[55]+x[74]+x[77])*q^9 + (x[54]+x[55]+x[67]+x[68]+x[75]+x[76]+x[78]+x[80]+x[81]+x[82]+x[95])*q^8 + (x[56]+x[74]+x[77]+x[79]+x[80]+x[81]+x[82]+x[83]+x[84]+x[92]+x[93]+x[94]+x[98])*q^7 + (x[78]+x[80]+x[81]+x[83]+x[84]+x[90]+x[91]+x[95]+x[96]+x[97]+x[98]+x[99]+x[105])*q^6 + (x[82]+x[84]+x[92]+x[93]+x[94]+x[98]+x[99]+x[103]+x[106])*q^5 + (x[84]+x[95]+x[99]+x[101]+x[102]+x[104]+x[105])*q^4 + (x[98]+x[103]+x[106]+x[108])*q^3 + (x[105]+x[107]+x[109])*q^2 + (x[108])*q + x[110] #29.2 : c = (1) |O_x_c^F| = 1/2*q^25*(q-1)*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,29,2] = (x[47]-x[48])*q^10 + (x[50]-x[51]-x[54]+x[55]+x[74]-x[77])*q^9 + (x[54]-x[55]+x[67]-x[68]+x[75]-x[76]+x[78]+x[80]-x[81]-x[82]+x[95])*q^8 + (x[56]+x[74]-x[77]+x[79]-x[80]+x[81]+x[82]-x[83]-x[84]+x[92]+x[93]-x[94]+x[98])*q^7 + (x[78]+x[80]-x[81]+x[83]+x[84]+x[90]-x[91]+x[95]+x[96]-x[97]-x[98]-x[99]+x[105])*q^6 + (x[82]-x[84]+x[92]+x[93]-x[94]+x[98]+x[99]+x[103]-x[106])*q^5 + (x[84]+x[95]-x[99]+x[101]-x[102]+x[104]+x[105])*q^4 + (x[98]+x[103]-x[106]+x[108])*q^3 + (x[105]+x[107]-x[109])*q^2 + (x[108])*q + x[110] orbit #30 : [4, 4, 4, 1, 1] dim = 78 A(O) = 1 , |A(O)_0| = 1 g_s = 6*V[6]+3*V[4]+6*V[3]+6*V[2]+6*V[0] Z_G(x)_0 = O3+Sp2 # Green Polys by orbit reps #30.1 : x[49] : [4, 4, 4, 1, 1],[] : [[2, 2, 1], [2]] Qxi[C7,30,1] = (x[49])*q^10 + (x[50]+x[53]+x[56]+x[66])*q^9 + (x[54]+x[67]+x[71]+2*x[78]+x[83]+x[89])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[104])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #30.1 : c = () |O_x_c^F| = q^26*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,30,1] = (x[49])*q^10 + (x[50]+x[53]+x[56]+x[66])*q^9 + (x[54]+x[67]+x[71]+2*x[78]+x[83]+x[89])*q^8 + (x[56]+x[74]+x[79]+x[81]+2*x[82]+x[88]+2*x[92])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[95]+x[96]+x[100]+x[104])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #31 : [4, 4, 4, 2] dim = 80 A(O) = Z2 , |A(O)_0| = 2 g_s = 6*V[6]+6*V[4]+10*V[2]+3*V[0] Z_G(x)_0 = O3+O1 # Green Polys by orbit reps #31.1 : x[50] : [4, 4, 4, 2],[1] : [[2, 2], [2, 1]] Qxi[C7,31,1] = (x[50])*q^9 + (x[54]+x[67]+x[78])*q^8 + (x[56]+x[74]+x[79]+x[81]+x[82]+x[92])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+x[95]+x[96])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #31.2 : x[51] : [4, 4, 4, 2],[-1] : [[1], [3, 3]] Qxi[C7,31,2] = (x[51])*q^9 + (x[55]+x[68])*q^8 + (x[77]+x[80])*q^7 + (x[81]+x[91]+x[98])*q^6 + (x[84]+x[94])*q^5 + (x[99]+x[102])*q^4 + (x[106])*q^3 + (x[109])*q^2 # Green Polys by conj class in A(O) #31.1 : c = () |O_x_c^F| = 1/2*q^26*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,31,1] = (x[50]+x[51])*q^9 + (x[54]+x[55]+x[67]+x[68]+x[78])*q^8 + (x[56]+x[74]+x[77]+x[79]+x[80]+x[81]+x[82]+x[92])*q^7 + (x[78]+x[80]+x[81]+x[83]+x[84]+x[90]+x[91]+x[95]+x[96]+x[98])*q^6 + (x[82]+x[84]+x[92]+x[93]+x[94]+x[98]+x[99]+x[103])*q^5 + (x[84]+x[95]+x[99]+x[101]+x[102]+x[104]+x[105])*q^4 + (x[98]+x[103]+x[106]+x[108])*q^3 + (x[105]+x[107]+x[109])*q^2 + (x[108])*q + x[110] #31.2 : c = (1) |O_x_c^F| = 1/2*q^26*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,31,2] = (x[50]-x[51])*q^9 + (x[54]-x[55]+x[67]-x[68]+x[78])*q^8 + (x[56]+x[74]-x[77]+x[79]-x[80]+x[81]+x[82]+x[92])*q^7 + (x[78]+x[80]-x[81]+x[83]+x[84]+x[90]-x[91]+x[95]+x[96]-x[98])*q^6 + (x[82]-x[84]+x[92]+x[93]-x[94]+x[98]+x[99]+x[103])*q^5 + (x[84]+x[95]-x[99]+x[101]-x[102]+x[104]+x[105])*q^4 + (x[98]+x[103]-x[106]+x[108])*q^3 + (x[105]+x[107]-x[109])*q^2 + (x[108])*q + x[110] orbit #32 : [5, 5, 1, 1, 1, 1] dim = 76 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[8]+V[6]+11*V[4]+V[2]+13*V[0] Z_G(x)_0 = Sp4+Sp2 # Green Polys by orbit reps #32.1 : x[52] : [5, 5, 1, 1, 1, 1],[] : [[2], [3, 1, 1]] Qxi[C7,32,1] = (x[52])*q^11 + (x[54]+x[69]+x[70]+x[80])*q^10 + (x[53]+x[55]+x[74]+x[76]+2*x[81]+x[82]+x[86]+x[87]+x[93])*q^9 + (x[54]+x[71]+x[73]+x[75]+x[77]+2*x[80]+2*x[83]+x[84]+x[90]+2*x[94]+x[95]+x[101])*q^8 + (x[56]+x[74]+x[76]+2*x[81]+2*x[82]+x[88]+x[91]+2*x[93]+2*x[97]+2*x[98]+x[99]+x[102]+x[103])*q^7 + (x[78]+x[80]+2*x[83]+2*x[84]+x[90]+2*x[94]+2*x[95]+x[100]+x[101]+2*x[105]+x[106])*q^6 + (x[82]+x[92]+x[93]+x[97]+x[98]+3*x[99]+x[102]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+2*x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]+x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #32.1 : c = () |O_x_c^F| = q^28*(q^2+q+1)*(q^2-q+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,32,1] = (x[52])*q^11 + (x[54]+x[69]+x[70]+x[80])*q^10 + (x[53]+x[55]+x[74]+x[76]+2*x[81]+x[82]+x[86]+x[87]+x[93])*q^9 + (x[54]+x[71]+x[73]+x[75]+x[77]+2*x[80]+2*x[83]+x[84]+x[90]+2*x[94]+x[95]+x[101])*q^8 + (x[56]+x[74]+x[76]+2*x[81]+2*x[82]+x[88]+x[91]+2*x[93]+2*x[97]+2*x[98]+x[99]+x[102]+x[103])*q^7 + (x[78]+x[80]+2*x[83]+2*x[84]+x[90]+2*x[94]+2*x[95]+x[100]+x[101]+2*x[105]+x[106])*q^6 + (x[82]+x[92]+x[93]+x[97]+x[98]+3*x[99]+x[102]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+2*x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]+x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #33 : [5, 5, 2, 1, 1] dim = 80 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[8]+V[6]+2*V[5]+7*V[4]+2*V[3]+2*V[2]+2*V[1]+6*V[0] Z_G(x)_0 = O1+2*Sp2 # Green Polys by orbit reps #33.1 : x[53] : [5, 5, 2, 1, 1],[] : [[2, 1, 1], [3]] Qxi[C7,33,1] = (x[53])*q^9 + (x[54]+x[71]+x[73]+x[83])*q^8 + (x[56]+x[74]+x[76]+x[81]+2*x[82]+x[88]+x[97])*q^7 + (x[78]+x[80]+2*x[83]+x[84]+x[90]+x[94]+2*x[95]+x[100])*q^6 + (x[82]+x[92]+x[93]+x[97]+x[98]+2*x[99]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[106]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #33.1 : c = () |O_x_c^F| = q^28*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,33,1] = (x[53])*q^9 + (x[54]+x[71]+x[73]+x[83])*q^8 + (x[56]+x[74]+x[76]+x[81]+2*x[82]+x[88]+x[97])*q^7 + (x[78]+x[80]+2*x[83]+x[84]+x[90]+x[94]+2*x[95]+x[100])*q^6 + (x[82]+x[92]+x[93]+x[97]+x[98]+2*x[99]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[106]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #34 : [5, 5, 2, 2] dim = 82 A(O) = Z2 , |A(O)_0| = 2 g_s = 3*V[8]+V[6]+4*V[5]+3*V[4]+4*V[3]+4*V[2]+4*V[0] Z_G(x)_0 = Sp2+O2 # Green Polys by orbit reps #34.1 : x[54] : [5, 5, 2, 2],[1] : [[2, 1], [3, 1]] Qxi[C7,34,1] = (x[54])*q^8 + (x[56]+x[74]+x[76]+x[81]+x[82])*q^7 + (x[78]+x[80]+2*x[83]+x[84]+x[90]+x[94]+x[95])*q^6 + (x[82]+x[92]+x[93]+x[97]+x[98]+2*x[99]+x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[106])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #34.2 : x[55] : [5, 5, 2, 2],[-1] : [[2], [3, 2]] Qxi[C7,34,2] = (x[55])*q^8 + (x[75]+x[77]+x[80])*q^7 + (x[81]+x[91]+x[93]+x[98])*q^6 + (x[84]+x[94]+x[105])*q^5 + (x[99]+x[102])*q^4 + (x[106])*q^3 + (x[109])*q^2 # Green Polys by conj class in A(O) #34.1 : c = () |O_x_c^F| = 1/2*q^29*(q+1)*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,34,1] = (x[54]+x[55])*q^8 + (x[56]+x[74]+x[75]+x[76]+x[77]+x[80]+x[81]+x[82])*q^7 + (x[78]+x[80]+x[81]+2*x[83]+x[84]+x[90]+x[91]+x[93]+x[94]+x[95]+x[98])*q^6 + (x[82]+x[84]+x[92]+x[93]+x[94]+x[97]+x[98]+2*x[99]+x[103]+x[105])*q^5 + (x[84]+x[95]+x[99]+x[101]+x[102]+x[104]+x[105]+x[106])*q^4 + (x[98]+x[103]+x[106]+x[108])*q^3 + (x[105]+x[107]+x[109])*q^2 + (x[108])*q + x[110] #34.2 : c = (1) |O_x_c^F| = 1/2*q^29*(q-1)*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,34,2] = (x[54]-x[55])*q^8 + (x[56]+x[74]-x[75]+x[76]-x[77]-x[80]+x[81]+x[82])*q^7 + (x[78]+x[80]-x[81]+2*x[83]+x[84]+x[90]-x[91]-x[93]+x[94]+x[95]-x[98])*q^6 + (x[82]-x[84]+x[92]+x[93]-x[94]+x[97]+x[98]+2*x[99]+x[103]-x[105])*q^5 + (x[84]+x[95]-x[99]+x[101]-x[102]+x[104]+x[105]+x[106])*q^4 + (x[98]+x[103]-x[106]+x[108])*q^3 + (x[105]+x[107]-x[109])*q^2 + (x[108])*q + x[110] orbit #35 : [5, 5, 4] dim = 84 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[8]+2*V[7]+2*V[6]+2*V[5]+3*V[4]+2*V[3]+2*V[2]+2*V[1]+3*V[0] Z_G(x)_0 = O1+Sp2 # Green Polys by orbit reps #35.1 : x[56] : [5, 5, 4],[] : [[2, 2], [3]] Qxi[C7,35,1] = (x[56])*q^7 + (x[78]+x[83])*q^6 + (x[82]+x[92]+x[99])*q^5 + (x[84]+x[95]+x[104])*q^4 + (x[98]+x[103])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #35.1 : c = () |O_x_c^F| = q^30*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,35,1] = (x[56])*q^7 + (x[78]+x[83])*q^6 + (x[82]+x[92]+x[99])*q^5 + (x[84]+x[95]+x[104])*q^4 + (x[98]+x[103])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #36 : [6, 1, 1, 1, 1, 1, 1, 1, 1] dim = 58 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+V[6]+8*V[5]+V[2]+36*V[0] Z_G(x)_0 = O1+Sp8 # Green Polys by orbit reps #36.1 : x[57] : [6, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[3, 1, 1, 1, 1], []] Qxi[C7,36,1] = (x[57])*q^20 + (x[60])*q^19 + (x[61]+x[64]+x[85])*q^18 + (x[60]+x[62]+x[66]+x[88])*q^17 + (x[58]+x[61]+x[64]+x[65]+x[67]+x[71]+x[85]+x[89]+x[90])*q^16 + (x[60]+x[62]+2*x[66]+x[74]+x[86]+2*x[88]+x[92])*q^15 + (x[61]+2*x[64]+x[67]+x[69]+x[71]+x[72]+x[78]+x[85]+2*x[89]+2*x[90]+x[95]+x[100])*q^14 + (x[60]+x[62]+2*x[66]+2*x[74]+x[79]+x[86]+3*x[88]+2*x[92]+x[93]+x[103])*q^13 + (x[64]+x[65]+2*x[67]+x[69]+2*x[71]+x[72]+x[75]+x[78]+x[85]+2*x[89]+3*x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104])*q^12 + (x[62]+2*x[66]+2*x[74]+x[79]+x[82]+x[86]+3*x[88]+3*x[92]+2*x[93]+2*x[103])*q^11 + (x[64]+x[67]+x[69]+x[71]+x[72]+2*x[78]+x[80]+2*x[89]+3*x[90]+3*x[95]+x[96]+2*x[100]+x[101]+x[104]+x[105])*q^10 + (x[66]+2*x[74]+x[79]+x[82]+x[86]+2*x[88]+3*x[92]+2*x[93]+x[98]+3*x[103])*q^9 + (x[67]+x[71]+x[75]+x[78]+x[80]+x[89]+2*x[90]+3*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+x[105]+x[107])*q^8 + (x[74]+x[79]+x[82]+x[88]+2*x[92]+2*x[93]+x[98]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #36.1 : c = () |O_x_c^F| = q^22*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,36,1] = (x[57])*q^20 + (x[60])*q^19 + (x[61]+x[64]+x[85])*q^18 + (x[60]+x[62]+x[66]+x[88])*q^17 + (x[58]+x[61]+x[64]+x[65]+x[67]+x[71]+x[85]+x[89]+x[90])*q^16 + (x[60]+x[62]+2*x[66]+x[74]+x[86]+2*x[88]+x[92])*q^15 + (x[61]+2*x[64]+x[67]+x[69]+x[71]+x[72]+x[78]+x[85]+2*x[89]+2*x[90]+x[95]+x[100])*q^14 + (x[60]+x[62]+2*x[66]+2*x[74]+x[79]+x[86]+3*x[88]+2*x[92]+x[93]+x[103])*q^13 + (x[64]+x[65]+2*x[67]+x[69]+2*x[71]+x[72]+x[75]+x[78]+x[85]+2*x[89]+3*x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104])*q^12 + (x[62]+2*x[66]+2*x[74]+x[79]+x[82]+x[86]+3*x[88]+3*x[92]+2*x[93]+2*x[103])*q^11 + (x[64]+x[67]+x[69]+x[71]+x[72]+2*x[78]+x[80]+2*x[89]+3*x[90]+3*x[95]+x[96]+2*x[100]+x[101]+x[104]+x[105])*q^10 + (x[66]+2*x[74]+x[79]+x[82]+x[86]+2*x[88]+3*x[92]+2*x[93]+x[98]+3*x[103])*q^9 + (x[67]+x[71]+x[75]+x[78]+x[80]+x[89]+2*x[90]+3*x[95]+x[96]+x[100]+2*x[101]+2*x[104]+x[105]+x[107])*q^8 + (x[74]+x[79]+x[82]+x[88]+2*x[92]+2*x[93]+x[98]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #37 : [6, 2, 1, 1, 1, 1, 1, 1] dim = 66 A(O) = Z2 , |A(O)_0| = 2 g_s = V[10]+2*V[6]+6*V[5]+V[4]+2*V[2]+6*V[1]+21*V[0] Z_G(x)_0 = Sp6+2*O1 # Green Polys by orbit reps #37.1 : x[58] : [6, 2, 1, 1, 1, 1, 1, 1],[1] : [[3], [1, 1, 1, 1]] Qxi[C7,37,1] = (x[58])*q^16 + (x[62]+x[86])*q^15 + (x[64]+x[69]+x[90])*q^14 + (x[60]+x[62]+x[74]+x[86]+x[88]+x[93])*q^13 + (x[64]+x[67]+x[69]+x[71]+x[75]+x[85]+2*x[90]+x[95]+x[101])*q^12 + (x[62]+x[66]+2*x[74]+x[86]+2*x[88]+x[92]+2*x[93]+x[103])*q^11 + (x[64]+x[67]+x[69]+x[71]+x[78]+x[80]+x[89]+3*x[90]+2*x[95]+x[100]+x[101]+x[105])*q^10 + (x[66]+2*x[74]+x[82]+x[86]+2*x[88]+2*x[92]+2*x[93]+x[98]+2*x[103])*q^9 + (x[67]+x[71]+x[75]+x[78]+x[80]+x[89]+2*x[90]+3*x[95]+x[100]+2*x[101]+x[104]+x[105])*q^8 + (x[74]+x[79]+x[82]+x[88]+2*x[92]+2*x[93]+x[98]+3*x[103]+x[108])*q^7 + (x[78]+x[80]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #37.2 : x[59] : [6, 2, 1, 1, 1, 1, 1, 1],[-1] : [[], [4, 1, 1, 1]] Qxi[C7,37,2] = (x[59])*q^16 + (x[70])*q^15 + (x[63]+x[76]+x[87])*q^14 + (x[70]+x[73]+x[77]+x[94])*q^13 + (x[63]+x[76]+x[81]+x[87]+x[91]+x[97])*q^12 + (x[70]+x[77]+x[83]+2*x[94])*q^11 + (x[68]+x[76]+x[81]+x[87]+x[91]+x[97]+x[99]+x[102])*q^10 + (x[77]+x[83]+2*x[94]+x[106])*q^9 + (x[81]+x[91]+x[97]+x[99]+x[102])*q^8 + (x[84]+x[94]+x[106])*q^7 + (x[99]+x[102])*q^6 + (x[106])*q^5 + (x[109])*q^4 # Green Polys by conj class in A(O) #37.1 : c = () |O_x_c^F| = 1/2*q^22*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,37,1] = (x[58]+x[59])*q^16 + (x[62]+x[70]+x[86])*q^15 + (x[63]+x[64]+x[69]+x[76]+x[87]+x[90])*q^14 + (x[60]+x[62]+x[70]+x[73]+x[74]+x[77]+x[86]+x[88]+x[93]+x[94])*q^13 + (x[63]+x[64]+x[67]+x[69]+x[71]+x[75]+x[76]+x[81]+x[85]+x[87]+2*x[90]+x[91]+x[95]+x[97]+x[101])*q^12 + (x[62]+x[66]+x[70]+2*x[74]+x[77]+x[83]+x[86]+2*x[88]+x[92]+2*x[93]+2*x[94]+x[103])*q^11 + (x[64]+x[67]+x[68]+x[69]+x[71]+x[76]+x[78]+x[80]+x[81]+x[87]+x[89]+3*x[90]+x[91]+2*x[95]+x[97]+x[99]+x[100]+x[101]+x[102]+x[105])*q^10 + (x[66]+2*x[74]+x[77]+x[82]+x[83]+x[86]+2*x[88]+2*x[92]+2*x[93]+2*x[94]+x[98]+2*x[103]+x[106])*q^9 + (x[67]+x[71]+x[75]+x[78]+x[80]+x[81]+x[89]+2*x[90]+x[91]+3*x[95]+x[97]+x[99]+x[100]+2*x[101]+x[102]+x[104]+x[105])*q^8 + (x[74]+x[79]+x[82]+x[84]+x[88]+2*x[92]+2*x[93]+x[94]+x[98]+3*x[103]+x[106]+x[108])*q^7 + (x[78]+x[80]+x[90]+2*x[95]+x[96]+x[99]+x[100]+x[101]+x[102]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[103]+x[106]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107]+x[109])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #37.2 : c = (1) |O_x_c^F| = 1/2*q^22*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,37,2] = (x[58]-x[59])*q^16 + (x[62]-x[70]+x[86])*q^15 + (-x[63]+x[64]+x[69]-x[76]-x[87]+x[90])*q^14 + (x[60]+x[62]-x[70]-x[73]+x[74]-x[77]+x[86]+x[88]+x[93]-x[94])*q^13 + (-x[63]+x[64]+x[67]+x[69]+x[71]+x[75]-x[76]-x[81]+x[85]-x[87]+2*x[90]-x[91]+x[95]-x[97]+x[101])*q^12 + (x[62]+x[66]-x[70]+2*x[74]-x[77]-x[83]+x[86]+2*x[88]+x[92]+2*x[93]-2*x[94]+x[103])*q^11 + (x[64]+x[67]-x[68]+x[69]+x[71]-x[76]+x[78]+x[80]-x[81]-x[87]+x[89]+3*x[90]-x[91]+2*x[95]-x[97]-x[99]+x[100]+x[101]-x[102]+x[105])*q^10 + (x[66]+2*x[74]-x[77]+x[82]-x[83]+x[86]+2*x[88]+2*x[92]+2*x[93]-2*x[94]+x[98]+2*x[103]-x[106])*q^9 + (x[67]+x[71]+x[75]+x[78]+x[80]-x[81]+x[89]+2*x[90]-x[91]+3*x[95]-x[97]-x[99]+x[100]+2*x[101]-x[102]+x[104]+x[105])*q^8 + (x[74]+x[79]+x[82]-x[84]+x[88]+2*x[92]+2*x[93]-x[94]+x[98]+3*x[103]-x[106]+x[108])*q^7 + (x[78]+x[80]+x[90]+2*x[95]+x[96]-x[99]+x[100]+x[101]-x[102]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[103]-x[106]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107]-x[109])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #38 : [6, 2, 2, 1, 1, 1, 1] dim = 72 A(O) = Z2 , |A(O)_0| = 2 g_s = V[10]+3*V[6]+4*V[5]+2*V[4]+4*V[2]+8*V[1]+11*V[0] Z_G(x)_0 = O2+Sp4+O1 # Green Polys by orbit reps #38.1 : x[60] : [6, 2, 2, 1, 1, 1, 1],[1] : [[3, 1, 1, 1], [1]] Qxi[C7,38,1] = (x[60])*q^13 + (x[64]+x[71]+x[85])*q^12 + (x[62]+x[66]+x[74]+2*x[88])*q^11 + (x[64]+x[67]+x[69]+x[71]+x[78]+x[89]+2*x[90]+x[95]+x[100])*q^10 + (x[66]+2*x[74]+x[82]+x[86]+2*x[88]+2*x[92]+x[93]+x[103])*q^9 + (x[67]+x[71]+x[75]+x[78]+x[80]+x[89]+2*x[90]+3*x[95]+x[100]+x[101]+x[104])*q^8 + (x[74]+x[79]+x[82]+x[88]+2*x[92]+2*x[93]+x[98]+3*x[103])*q^7 + (x[78]+x[80]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #38.2 : x[61] : [6, 2, 2, 1, 1, 1, 1],[-1] : [[3, 2, 1, 1], []] Qxi[C7,38,2] = (x[61])*q^13 + (x[66])*q^12 + (x[65]+x[67]+x[72]+x[89])*q^11 + (x[66]+x[79]+x[92])*q^10 + (x[72]+x[78]+x[89]+x[96])*q^9 + (x[79]+x[92])*q^8 + (x[96]+x[104])*q^7 # Green Polys by conj class in A(O) #38.1 : c = () |O_x_c^F| = 1/2*q^23*(q^2+q+1)*(q^3+1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,38,1] = (x[60]+x[61])*q^13 + (x[64]+x[66]+x[71]+x[85])*q^12 + (x[62]+x[65]+x[66]+x[67]+x[72]+x[74]+2*x[88]+x[89])*q^11 + (x[64]+x[66]+x[67]+x[69]+x[71]+x[78]+x[79]+x[89]+2*x[90]+x[92]+x[95]+x[100])*q^10 + (x[66]+x[72]+2*x[74]+x[78]+x[82]+x[86]+2*x[88]+x[89]+2*x[92]+x[93]+x[96]+x[103])*q^9 + (x[67]+x[71]+x[75]+x[78]+x[79]+x[80]+x[89]+2*x[90]+x[92]+3*x[95]+x[100]+x[101]+x[104])*q^8 + (x[74]+x[79]+x[82]+x[88]+2*x[92]+2*x[93]+x[96]+x[98]+3*x[103]+x[104])*q^7 + (x[78]+x[80]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #38.2 : c = (1) |O_x_c^F| = 1/2*q^23*(q^2-q+1)*(q^3-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,38,2] = (x[60]-x[61])*q^13 + (x[64]-x[66]+x[71]+x[85])*q^12 + (x[62]-x[65]+x[66]-x[67]-x[72]+x[74]+2*x[88]-x[89])*q^11 + (x[64]-x[66]+x[67]+x[69]+x[71]+x[78]-x[79]+x[89]+2*x[90]-x[92]+x[95]+x[100])*q^10 + (x[66]-x[72]+2*x[74]-x[78]+x[82]+x[86]+2*x[88]-x[89]+2*x[92]+x[93]-x[96]+x[103])*q^9 + (x[67]+x[71]+x[75]+x[78]-x[79]+x[80]+x[89]+2*x[90]-x[92]+3*x[95]+x[100]+x[101]+x[104])*q^8 + (x[74]+x[79]+x[82]+x[88]+2*x[92]+2*x[93]-x[96]+x[98]+3*x[103]-x[104])*q^7 + (x[78]+x[80]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[107])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #39 : [6, 2, 2, 2, 1, 1] dim = 76 A(O) = Z2 , |A(O)_0| = 2 g_s = V[10]+4*V[6]+2*V[5]+3*V[4]+7*V[2]+6*V[1]+6*V[0] Z_G(x)_0 = Sp2+O3+O1 # Green Polys by orbit reps #39.1 : x[62] : [6, 2, 2, 2, 1, 1],[1] : [[3, 1], [1, 1, 1]] Qxi[C7,39,1] = (x[62])*q^11 + (x[64]+x[67]+x[69]+x[90])*q^10 + (x[66]+2*x[74]+x[86]+x[88]+x[92]+x[93])*q^9 + (x[67]+x[71]+x[75]+x[78]+x[80]+x[89]+2*x[90]+2*x[95]+x[101])*q^8 + (x[74]+x[79]+x[82]+x[88]+2*x[92]+2*x[93]+x[98]+2*x[103])*q^7 + (x[78]+x[80]+x[90]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #39.2 : x[63] : [6, 2, 2, 2, 1, 1],[-1] : [[], [4, 2, 1]] Qxi[C7,39,2] = (x[63])*q^11 + (x[70]+x[77])*q^10 + (x[68]+x[76]+x[81]+x[87]+x[91])*q^9 + (x[77]+x[83]+2*x[94])*q^8 + (x[81]+x[91]+x[97]+x[99]+x[102])*q^7 + (x[84]+x[94]+x[106])*q^6 + (x[99]+x[102])*q^5 + (x[106])*q^4 + (x[109])*q^3 # Green Polys by conj class in A(O) #39.1 : c = () |O_x_c^F| = 1/2*q^24*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,39,1] = (x[62]+x[63])*q^11 + (x[64]+x[67]+x[69]+x[70]+x[77]+x[90])*q^10 + (x[66]+x[68]+2*x[74]+x[76]+x[81]+x[86]+x[87]+x[88]+x[91]+x[92]+x[93])*q^9 + (x[67]+x[71]+x[75]+x[77]+x[78]+x[80]+x[83]+x[89]+2*x[90]+2*x[94]+2*x[95]+x[101])*q^8 + (x[74]+x[79]+x[81]+x[82]+x[88]+x[91]+2*x[92]+2*x[93]+x[97]+x[98]+x[99]+x[102]+2*x[103])*q^7 + (x[78]+x[80]+x[84]+x[90]+x[94]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]+x[106])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[99]+x[102]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]+x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #39.2 : c = (1) |O_x_c^F| = 1/2*q^24*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,39,2] = (x[62]-x[63])*q^11 + (x[64]+x[67]+x[69]-x[70]-x[77]+x[90])*q^10 + (x[66]-x[68]+2*x[74]-x[76]-x[81]+x[86]-x[87]+x[88]-x[91]+x[92]+x[93])*q^9 + (x[67]+x[71]+x[75]-x[77]+x[78]+x[80]-x[83]+x[89]+2*x[90]-2*x[94]+2*x[95]+x[101])*q^8 + (x[74]+x[79]-x[81]+x[82]+x[88]-x[91]+2*x[92]+2*x[93]-x[97]+x[98]-x[99]-x[102]+2*x[103])*q^7 + (x[78]+x[80]-x[84]+x[90]-x[94]+2*x[95]+x[96]+x[100]+x[101]+x[104]+2*x[105]-x[106])*q^6 + (x[82]+x[92]+x[93]+x[98]-x[99]-x[102]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]-x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]-x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #40 : [6, 2, 2, 2, 2] dim = 78 A(O) = Z2 , |A(O)_0| = 2 g_s = V[10]+5*V[6]+4*V[4]+11*V[2]+6*V[0] Z_G(x)_0 = O4+O1 # Green Polys by orbit reps #40.1 : x[64] : [6, 2, 2, 2, 2],[1] : [[3, 1, 1], [1, 1]] Qxi[C7,40,1] = (x[64])*q^10 + (x[66]+x[74]+x[88])*q^9 + (x[67]+x[71]+x[75]+x[78]+x[89]+x[90]+x[95])*q^8 + (x[74]+x[79]+x[82]+x[88]+2*x[92]+x[93]+x[103])*q^7 + (x[78]+x[80]+x[90]+2*x[95]+x[96]+x[100]+x[104]+x[105])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #40.2 : x[65] : [6, 2, 2, 2, 2],[-1] : [[3, 2, 2], []] Qxi[C7,40,2] = (x[65])*q^10 + (x[66])*q^9 + (x[72]+x[78]+x[89])*q^8 + (x[79]+x[92])*q^7 + (x[96]+x[104])*q^6 # Green Polys by conj class in A(O) #40.1 : c = () |O_x_c^F| = 1/2*q^26*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,40,1] = (x[64]+x[65])*q^10 + (2*x[66]+x[74]+x[88])*q^9 + (x[67]+x[71]+x[72]+x[75]+2*x[78]+2*x[89]+x[90]+x[95])*q^8 + (x[74]+2*x[79]+x[82]+x[88]+3*x[92]+x[93]+x[103])*q^7 + (x[78]+x[80]+x[90]+2*x[95]+2*x[96]+x[100]+2*x[104]+x[105])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #40.2 : c = (1) |O_x_c^F| = 1/2*q^26*(q^2-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,40,2] = (x[64]-x[65])*q^10 + (x[74]+x[88])*q^9 + (x[67]+x[71]-x[72]+x[75]+x[90]+x[95])*q^8 + (x[74]+x[82]+x[88]+x[92]+x[93]+x[103])*q^7 + (x[78]+x[80]+x[90]+2*x[95]+x[100]+x[105])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #41 : [6, 3, 3, 1, 1] dim = 80 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+2*V[7]+V[6]+4*V[5]+3*V[4]+2*V[3]+6*V[2]+6*V[0] Z_G(x)_0 = O1+2*Sp2 # Green Polys by orbit reps #41.1 : x[66] : [6, 3, 3, 1, 1],[] : [[3, 2, 1], [1]] Qxi[C7,41,1] = (x[66])*q^9 + (x[67]+x[71]+x[72]+x[78]+x[89])*q^8 + (x[74]+2*x[79]+x[82]+x[88]+2*x[92])*q^7 + (x[78]+x[80]+x[90]+2*x[95]+2*x[96]+x[100]+x[104])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #41.1 : c = () |O_x_c^F| = q^28*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,41,1] = (x[66])*q^9 + (x[67]+x[71]+x[72]+x[78]+x[89])*q^8 + (x[74]+2*x[79]+x[82]+x[88]+2*x[92])*q^7 + (x[78]+x[80]+x[90]+2*x[95]+2*x[96]+x[100]+x[104])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #42 : [6, 3, 3, 2] dim = 82 A(O) = Z2 , |A(O)_0| = 2 g_s = V[10]+2*V[7]+2*V[6]+2*V[5]+4*V[4]+4*V[3]+3*V[2]+2*V[1]+3*V[0] Z_G(x)_0 = Sp2+2*O1 # Green Polys by orbit reps #42.1 : x[67] : [6, 3, 3, 2],[1] : [[3, 2], [1, 1]] Qxi[C7,42,1] = (x[67])*q^8 + (x[74]+x[79]+x[92])*q^7 + (x[78]+x[80]+x[90]+x[95]+x[96])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #42.2 : x[68] : [6, 3, 3, 2],[-1] : [[], [4, 3]] Qxi[C7,42,2] = (x[68])*q^8 + (x[77])*q^7 + (x[81]+x[91])*q^6 + (x[84]+x[94])*q^5 + (x[99]+x[102])*q^4 + (x[106])*q^3 + (x[109])*q^2 # Green Polys by conj class in A(O) #42.1 : c = () |O_x_c^F| = 1/2*q^28*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,42,1] = (x[67]+x[68])*q^8 + (x[74]+x[77]+x[79]+x[92])*q^7 + (x[78]+x[80]+x[81]+x[90]+x[91]+x[95]+x[96])*q^6 + (x[82]+x[84]+x[92]+x[93]+x[94]+x[98]+x[103])*q^5 + (x[84]+x[95]+x[99]+x[101]+x[102]+x[104]+x[105])*q^4 + (x[98]+x[103]+x[106]+x[108])*q^3 + (x[105]+x[107]+x[109])*q^2 + (x[108])*q + x[110] #42.2 : c = (1) |O_x_c^F| = 1/2*q^28*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,42,2] = (x[67]-x[68])*q^8 + (x[74]-x[77]+x[79]+x[92])*q^7 + (x[78]+x[80]-x[81]+x[90]-x[91]+x[95]+x[96])*q^6 + (x[82]-x[84]+x[92]+x[93]-x[94]+x[98]+x[103])*q^5 + (x[84]+x[95]-x[99]+x[101]-x[102]+x[104]+x[105])*q^4 + (x[98]+x[103]-x[106]+x[108])*q^3 + (x[105]+x[107]-x[109])*q^2 + (x[108])*q + x[110] orbit #43 : [6, 4, 1, 1, 1, 1] dim = 78 A(O) = Z2 , |A(O)_0| = 2 g_s = V[10]+V[8]+3*V[6]+4*V[5]+V[4]+4*V[3]+3*V[2]+10*V[0] Z_G(x)_0 = Sp4+2*O1 # Green Polys by orbit reps #43.1 : x[69] : [6, 4, 1, 1, 1, 1],[1] : [[3], [2, 1, 1]] Qxi[C7,43,1] = (x[69])*q^10 + (x[74]+x[86]+x[93])*q^9 + (x[71]+x[75]+x[80]+x[90]+x[95]+x[101])*q^8 + (x[74]+x[82]+x[88]+2*x[93]+x[98]+x[103])*q^7 + (x[78]+x[80]+x[90]+2*x[95]+x[100]+x[101]+2*x[105])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #43.2 : x[70] : [6, 4, 1, 1, 1, 1],[-1] : [[1], [4, 1, 1]] Qxi[C7,43,2] = (x[70])*q^10 + (x[76]+x[81]+x[87])*q^9 + (x[73]+x[77]+x[83]+2*x[94])*q^8 + (x[76]+x[81]+x[91]+2*x[97]+x[99]+x[102])*q^7 + (x[83]+x[84]+2*x[94]+x[106])*q^6 + (x[97]+2*x[99]+x[102])*q^5 + (2*x[106])*q^4 + (x[109])*q^3 # Green Polys by conj class in A(O) #43.1 : c = () |O_x_c^F| = 1/2*q^28*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,43,1] = (x[69]+x[70])*q^10 + (x[74]+x[76]+x[81]+x[86]+x[87]+x[93])*q^9 + (x[71]+x[73]+x[75]+x[77]+x[80]+x[83]+x[90]+2*x[94]+x[95]+x[101])*q^8 + (x[74]+x[76]+x[81]+x[82]+x[88]+x[91]+2*x[93]+2*x[97]+x[98]+x[99]+x[102]+x[103])*q^7 + (x[78]+x[80]+x[83]+x[84]+x[90]+2*x[94]+2*x[95]+x[100]+x[101]+2*x[105]+x[106])*q^6 + (x[82]+x[92]+x[93]+x[97]+x[98]+2*x[99]+x[102]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+2*x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]+x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #43.2 : c = (1) |O_x_c^F| = 1/2*q^28*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,43,2] = (x[69]-x[70])*q^10 + (x[74]-x[76]-x[81]+x[86]-x[87]+x[93])*q^9 + (x[71]-x[73]+x[75]-x[77]+x[80]-x[83]+x[90]-2*x[94]+x[95]+x[101])*q^8 + (x[74]-x[76]-x[81]+x[82]+x[88]-x[91]+2*x[93]-2*x[97]+x[98]-x[99]-x[102]+x[103])*q^7 + (x[78]+x[80]-x[83]-x[84]+x[90]-2*x[94]+2*x[95]+x[100]+x[101]+2*x[105]-x[106])*q^6 + (x[82]+x[92]+x[93]-x[97]+x[98]-2*x[99]-x[102]+2*x[103]+x[108])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]-2*x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]-x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #44 : [6, 4, 2, 1, 1] dim = 82 A(O) = Z2^2 , |A(O)_0| = 3 g_s = V[10]+V[8]+4*V[6]+2*V[5]+3*V[4]+2*V[3]+5*V[2]+2*V[1]+3*V[0] Z_G(x)_0 = 3*O1+Sp2 # Green Polys by orbit reps #44.1 : x[71] : [6, 4, 2, 1, 1],[1, 1] : [[3, 1, 1], [2]] Qxi[C7,44,1] = (x[71])*q^8 + (x[74]+x[82]+x[88])*q^7 + (x[78]+x[80]+x[90]+2*x[95]+x[100])*q^6 + (x[82]+x[92]+x[93]+x[98]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #44.2 : x[72] : [6, 4, 2, 1, 1],[-1, 1] : [[3, 3, 1], []] Qxi[C7,44,2] = (x[72])*q^8 + (x[79])*q^7 + (x[96])*q^6 #44.3 : x[73] : [6, 4, 2, 1, 1],[1, -1] : [[1, 1, 1], [4]] Qxi[C7,44,3] = (x[73])*q^8 + (x[76]+x[97])*q^7 + (x[83]+x[94])*q^6 + (x[97]+x[99])*q^5 + (x[106])*q^4 # Green Polys by conj class in A(O) #44.1 : c = () |O_x_c^F| = 1/4*q^28*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,44,1] = (x[71]+x[72]+x[73])*q^8 + (x[74]+x[76]+x[79]+x[82]+x[88]+x[97])*q^7 + (x[78]+x[80]+x[83]+x[90]+x[94]+2*x[95]+x[96]+x[100])*q^6 + (x[82]+x[92]+x[93]+x[97]+x[98]+x[99]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[106]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #44.2 : c = (1) |O_x_c^F| = 1/4*q^28*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,44,2] = (x[71]-x[72]+x[73])*q^8 + (x[74]+x[76]-x[79]+x[82]+x[88]+x[97])*q^7 + (x[78]+x[80]+x[83]+x[90]+x[94]+2*x[95]-x[96]+x[100])*q^6 + (x[82]+x[92]+x[93]+x[97]+x[98]+x[99]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]+x[106]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #44.3 : c = (2) |O_x_c^F| = 1/4*q^28*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,44,3] = (x[71]+x[72]-x[73])*q^8 + (x[74]-x[76]+x[79]+x[82]+x[88]-x[97])*q^7 + (x[78]+x[80]-x[83]+x[90]-x[94]+2*x[95]+x[96]+x[100])*q^6 + (x[82]+x[92]+x[93]-x[97]+x[98]-x[99]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]-x[106]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #44.4 : c = (12) |O_x_c^F| = 1/4*q^28*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,44,4] = (x[71]-x[72]-x[73])*q^8 + (x[74]-x[76]-x[79]+x[82]+x[88]-x[97])*q^7 + (x[78]+x[80]-x[83]+x[90]-x[94]+2*x[95]-x[96]+x[100])*q^6 + (x[82]+x[92]+x[93]-x[97]+x[98]-x[99]+2*x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105]-x[106]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #45 : [6, 4, 2, 2] dim = 84 A(O) = Z2^2 , |A(O)_0| = 4 g_s = V[10]+V[8]+5*V[6]+5*V[4]+8*V[2]+V[0] Z_G(x)_0 = O2+2*O1 # Green Polys by orbit reps #45.1 : x[74] : [6, 4, 2, 2],[1, 1] : [[3, 1], [2, 1]] Qxi[C7,45,1] = (x[74])*q^7 + (x[78]+x[80]+x[90]+x[95])*q^6 + (x[82]+x[92]+x[93]+x[98]+x[103])*q^5 + (x[84]+x[95]+x[101]+x[104]+x[105])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #45.2 : x[75] : [6, 4, 2, 2],[-1, 1] : [[3], [2, 2]] Qxi[C7,45,2] = (x[75])*q^7 + (x[93])*q^6 + (x[105])*q^5 #45.3 : x[76] : [6, 4, 2, 2],[1, -1] : [[1, 1], [4, 1]] Qxi[C7,45,3] = (x[76])*q^7 + (x[83]+x[94])*q^6 + (x[97]+x[99])*q^5 + (x[106])*q^4 #45.4 : x[77] : [6, 4, 2, 2],[-1, -1] : [[1], [4, 2]] Qxi[C7,45,4] = (x[77])*q^7 + (x[81]+x[91])*q^6 + (x[84]+x[94])*q^5 + (x[99]+x[102])*q^4 + (x[106])*q^3 + (x[109])*q^2 # Green Polys by conj class in A(O) #45.1 : c = () |O_x_c^F| = 1/4*q^29*(q+1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,45,1] = (x[74]+x[75]+x[76]+x[77])*q^7 + (x[78]+x[80]+x[81]+x[83]+x[90]+x[91]+x[93]+x[94]+x[95])*q^6 + (x[82]+x[84]+x[92]+x[93]+x[94]+x[97]+x[98]+x[99]+x[103]+x[105])*q^5 + (x[84]+x[95]+x[99]+x[101]+x[102]+x[104]+x[105]+x[106])*q^4 + (x[98]+x[103]+x[106]+x[108])*q^3 + (x[105]+x[107]+x[109])*q^2 + (x[108])*q + x[110] #45.2 : c = (1) |O_x_c^F| = 1/4*q^29*(q-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,45,2] = (x[74]-x[75]+x[76]-x[77])*q^7 + (x[78]+x[80]-x[81]+x[83]+x[90]-x[91]-x[93]+x[94]+x[95])*q^6 + (x[82]-x[84]+x[92]+x[93]-x[94]+x[97]+x[98]+x[99]+x[103]-x[105])*q^5 + (x[84]+x[95]-x[99]+x[101]-x[102]+x[104]+x[105]+x[106])*q^4 + (x[98]+x[103]-x[106]+x[108])*q^3 + (x[105]+x[107]-x[109])*q^2 + (x[108])*q + x[110] #45.3 : c = (2) |O_x_c^F| = 1/4*q^29*(q+1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,45,3] = (x[74]+x[75]-x[76]-x[77])*q^7 + (x[78]+x[80]-x[81]-x[83]+x[90]-x[91]+x[93]-x[94]+x[95])*q^6 + (x[82]-x[84]+x[92]+x[93]-x[94]-x[97]+x[98]-x[99]+x[103]+x[105])*q^5 + (x[84]+x[95]-x[99]+x[101]-x[102]+x[104]+x[105]-x[106])*q^4 + (x[98]+x[103]-x[106]+x[108])*q^3 + (x[105]+x[107]-x[109])*q^2 + (x[108])*q + x[110] #45.4 : c = (12) |O_x_c^F| = 1/4*q^29*(q-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,45,4] = (x[74]-x[75]-x[76]+x[77])*q^7 + (x[78]+x[80]+x[81]-x[83]+x[90]+x[91]-x[93]-x[94]+x[95])*q^6 + (x[82]+x[84]+x[92]+x[93]+x[94]-x[97]+x[98]-x[99]+x[103]-x[105])*q^5 + (x[84]+x[95]+x[99]+x[101]+x[102]+x[104]+x[105]-x[106])*q^4 + (x[98]+x[103]+x[106]+x[108])*q^3 + (x[105]+x[107]+x[109])*q^2 + (x[108])*q + x[110] orbit #46 : [6, 4, 4] dim = 86 A(O) = Z2 , |A(O)_0| = 2 g_s = V[10]+2*V[8]+6*V[6]+3*V[4]+6*V[2]+V[0] Z_G(x)_0 = O2+O1 # Green Polys by orbit reps #46.1 : x[78] : [6, 4, 4],[1] : [[3, 2], [2]] Qxi[C7,46,1] = (x[78])*q^6 + (x[82]+x[92])*q^5 + (x[84]+x[95]+x[104])*q^4 + (x[98]+x[103])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #46.2 : x[79] : [6, 4, 4],[-1] : [[3, 3], [1]] Qxi[C7,46,2] = (x[79])*q^6 + (x[96])*q^5 # Green Polys by conj class in A(O) #46.1 : c = () |O_x_c^F| = 1/2*q^31*(q+1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,46,1] = (x[78]+x[79])*q^6 + (x[82]+x[92]+x[96])*q^5 + (x[84]+x[95]+x[104])*q^4 + (x[98]+x[103])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #46.2 : c = (1) |O_x_c^F| = 1/2*q^31*(q-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,46,2] = (x[78]-x[79])*q^6 + (x[82]+x[92]-x[96])*q^5 + (x[84]+x[95]+x[104])*q^4 + (x[98]+x[103])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #47 : [6, 6, 1, 1] dim = 86 A(O) = Z2 , |A(O)_0| = 2 g_s = 3*V[10]+V[8]+3*V[6]+4*V[5]+V[4]+3*V[2]+4*V[0] Z_G(x)_0 = Sp2+O2 # Green Polys by orbit reps #47.1 : x[80] : [6, 6, 1, 1],[1] : [[3], [3, 1]] Qxi[C7,47,1] = (x[80])*q^6 + (x[82]+x[93]+x[98])*q^5 + (x[84]+x[95]+x[101]+x[105])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #47.2 : x[81] : [6, 6, 1, 1],[-1] : [[2], [4, 1]] Qxi[C7,47,2] = (x[81])*q^6 + (x[83]+x[84]+x[94])*q^5 + (x[97]+2*x[99]+x[102])*q^4 + (2*x[106])*q^3 + (x[109])*q^2 # Green Polys by conj class in A(O) #47.1 : c = () |O_x_c^F| = 1/2*q^33*(q+1)*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,47,1] = (x[80]+x[81])*q^6 + (x[82]+x[83]+x[84]+x[93]+x[94]+x[98])*q^5 + (x[84]+x[95]+x[97]+2*x[99]+x[101]+x[102]+x[105])*q^4 + (x[98]+x[103]+2*x[106]+x[108])*q^3 + (x[105]+x[107]+x[109])*q^2 + (x[108])*q + x[110] #47.2 : c = (1) |O_x_c^F| = 1/2*q^33*(q-1)*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,47,2] = (x[80]-x[81])*q^6 + (x[82]-x[83]-x[84]+x[93]-x[94]+x[98])*q^5 + (x[84]+x[95]-x[97]-2*x[99]+x[101]-x[102]+x[105])*q^4 + (x[98]+x[103]-2*x[106]+x[108])*q^3 + (x[105]+x[107]-x[109])*q^2 + (x[108])*q + x[110] orbit #48 : [6, 6, 2] dim = 88 A(O) = Z2 , |A(O)_0| = 2 g_s = 3*V[10]+V[8]+5*V[6]+3*V[4]+4*V[2]+V[0] Z_G(x)_0 = O2+O1 # Green Polys by orbit reps #48.1 : x[82] : [6, 6, 2],[1] : [[3, 1], [3]] Qxi[C7,48,1] = (x[82])*q^5 + (x[84]+x[95])*q^4 + (x[98]+x[103])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #48.2 : x[83] : [6, 6, 2],[-1] : [[2, 1], [4]] Qxi[C7,48,2] = (x[83])*q^5 + (x[97]+x[99])*q^4 + (x[106])*q^3 # Green Polys by conj class in A(O) #48.1 : c = () |O_x_c^F| = 1/2*q^33*(q+1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,48,1] = (x[82]+x[83])*q^5 + (x[84]+x[95]+x[97]+x[99])*q^4 + (x[98]+x[103]+x[106])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #48.2 : c = (1) |O_x_c^F| = 1/2*q^33*(q-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,48,2] = (x[82]-x[83])*q^5 + (x[84]+x[95]-x[97]-x[99])*q^4 + (x[98]+x[103]-x[106])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #49 : [7, 7] dim = 90 A(O) = 1 , |A(O)_0| = 1 g_s = 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 #49.1 : x[84] : [7, 7],[] : [[3], [4]] Qxi[C7,49,1] = (x[84])*q^4 + (x[98]+x[99])*q^3 + (x[105]+x[106])*q^2 + (x[108]+x[109])*q + x[110] # Green Polys by conj class in A(O) #49.1 : c = () |O_x_c^F| = q^36*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,49,1] = (x[84])*q^4 + (x[98]+x[99])*q^3 + (x[105]+x[106])*q^2 + (x[108]+x[109])*q + x[110] orbit #50 : [8, 1, 1, 1, 1, 1, 1] dim = 74 A(O) = 1 , |A(O)_0| = 1 g_s = V[14]+V[10]+6*V[7]+V[6]+V[2]+21*V[0] Z_G(x)_0 = O1+Sp6 # Green Polys by orbit reps #50.1 : x[85] : [8, 1, 1, 1, 1, 1, 1],[] : [[4, 1, 1, 1], []] Qxi[C7,50,1] = (x[85])*q^12 + (x[88])*q^11 + (x[89]+x[90]+x[100])*q^10 + (x[86]+x[88]+x[92]+x[103])*q^9 + (x[89]+x[90]+x[95]+x[100]+x[101]+x[104])*q^8 + (x[88]+x[92]+x[93]+2*x[103])*q^7 + (x[90]+x[95]+x[96]+x[100]+x[101]+x[104]+x[105]+x[107])*q^6 + (x[92]+x[93]+2*x[103]+x[108])*q^5 + (x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #50.1 : c = () |O_x_c^F| = q^30*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,50,1] = (x[85])*q^12 + (x[88])*q^11 + (x[89]+x[90]+x[100])*q^10 + (x[86]+x[88]+x[92]+x[103])*q^9 + (x[89]+x[90]+x[95]+x[100]+x[101]+x[104])*q^8 + (x[88]+x[92]+x[93]+2*x[103])*q^7 + (x[90]+x[95]+x[96]+x[100]+x[101]+x[104]+x[105]+x[107])*q^6 + (x[92]+x[93]+2*x[103]+x[108])*q^5 + (x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #51 : [8, 2, 1, 1, 1, 1] dim = 80 A(O) = Z2 , |A(O)_0| = 2 g_s = V[14]+V[10]+V[8]+4*V[7]+2*V[6]+2*V[2]+4*V[1]+10*V[0] Z_G(x)_0 = Sp4+2*O1 # Green Polys by orbit reps #51.1 : x[86] : [8, 2, 1, 1, 1, 1],[1] : [[4], [1, 1, 1]] Qxi[C7,51,1] = (x[86])*q^9 + (x[90]+x[101])*q^8 + (x[88]+x[93]+x[103])*q^7 + (x[90]+x[95]+x[100]+x[101]+x[105])*q^6 + (x[92]+x[93]+2*x[103]+x[108])*q^5 + (x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #51.2 : x[87] : [8, 2, 1, 1, 1, 1],[-1] : [[], [5, 1, 1]] Qxi[C7,51,2] = (x[87])*q^9 + (x[94])*q^8 + (x[91]+x[97]+x[102])*q^7 + (x[94]+x[106])*q^6 + (x[99]+x[102])*q^5 + (x[106])*q^4 + (x[109])*q^3 # Green Polys by conj class in A(O) #51.1 : c = () |O_x_c^F| = 1/2*q^30*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,51,1] = (x[86]+x[87])*q^9 + (x[90]+x[94]+x[101])*q^8 + (x[88]+x[91]+x[93]+x[97]+x[102]+x[103])*q^7 + (x[90]+x[94]+x[95]+x[100]+x[101]+x[105]+x[106])*q^6 + (x[92]+x[93]+x[99]+x[102]+2*x[103]+x[108])*q^5 + (x[95]+x[101]+x[104]+x[105]+x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]+x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #51.2 : c = (1) |O_x_c^F| = 1/2*q^30*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,51,2] = (x[86]-x[87])*q^9 + (x[90]-x[94]+x[101])*q^8 + (x[88]-x[91]+x[93]-x[97]-x[102]+x[103])*q^7 + (x[90]-x[94]+x[95]+x[100]+x[101]+x[105]-x[106])*q^6 + (x[92]+x[93]-x[99]-x[102]+2*x[103]+x[108])*q^5 + (x[95]+x[101]+x[104]+x[105]-x[106]+x[107])*q^4 + (x[98]+x[103]+x[108]-x[109])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #52 : [8, 2, 2, 1, 1] dim = 84 A(O) = Z2 , |A(O)_0| = 2 g_s = V[14]+V[10]+2*V[8]+2*V[7]+3*V[6]+4*V[2]+4*V[1]+4*V[0] Z_G(x)_0 = O2+Sp2+O1 # Green Polys by orbit reps #52.1 : x[88] : [8, 2, 2, 1, 1],[1] : [[4, 1, 1], [1]] Qxi[C7,52,1] = (x[88])*q^7 + (x[90]+x[95]+x[100])*q^6 + (x[92]+x[93]+2*x[103])*q^5 + (x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #52.2 : x[89] : [8, 2, 2, 1, 1],[-1] : [[4, 2, 1], []] Qxi[C7,52,2] = (x[89])*q^7 + (x[92])*q^6 + (x[96]+x[104])*q^5 # 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)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,52,1] = (x[88]+x[89])*q^7 + (x[90]+x[92]+x[95]+x[100])*q^6 + (x[92]+x[93]+x[96]+2*x[103]+x[104])*q^5 + (x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #52.2 : c = (1) |O_x_c^F| = 1/2*q^31*(q-1)*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,52,2] = (x[88]-x[89])*q^7 + (x[90]-x[92]+x[95]+x[100])*q^6 + (x[92]+x[93]-x[96]+2*x[103]-x[104])*q^5 + (x[95]+x[101]+x[104]+x[105]+x[107])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #53 : [8, 2, 2, 2] dim = 86 A(O) = Z2 , |A(O)_0| = 2 g_s = V[14]+V[10]+3*V[8]+4*V[6]+7*V[2]+3*V[0] Z_G(x)_0 = O3+O1 # Green Polys by orbit reps #53.1 : x[90] : [8, 2, 2, 2],[1] : [[4, 1], [1, 1]] Qxi[C7,53,1] = (x[90])*q^6 + (x[92]+x[93]+x[103])*q^5 + (x[95]+x[101]+x[104]+x[105])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #53.2 : x[91] : [8, 2, 2, 2],[-1] : [[], [5, 2]] Qxi[C7,53,2] = (x[91])*q^6 + (x[94])*q^5 + (x[99]+x[102])*q^4 + (x[106])*q^3 + (x[109])*q^2 # Green Polys by conj class in A(O) #53.1 : c = () |O_x_c^F| = 1/2*q^32*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,53,1] = (x[90]+x[91])*q^6 + (x[92]+x[93]+x[94]+x[103])*q^5 + (x[95]+x[99]+x[101]+x[102]+x[104]+x[105])*q^4 + (x[98]+x[103]+x[106]+x[108])*q^3 + (x[105]+x[107]+x[109])*q^2 + (x[108])*q + x[110] #53.2 : c = (1) |O_x_c^F| = 1/2*q^32*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,53,2] = (x[90]-x[91])*q^6 + (x[92]+x[93]-x[94]+x[103])*q^5 + (x[95]-x[99]+x[101]-x[102]+x[104]+x[105])*q^4 + (x[98]+x[103]-x[106]+x[108])*q^3 + (x[105]+x[107]-x[109])*q^2 + (x[108])*q + x[110] orbit #54 : [8, 3, 3] dim = 88 A(O) = 1 , |A(O)_0| = 1 g_s = V[14]+V[10]+2*V[9]+2*V[7]+V[6]+2*V[5]+3*V[4]+2*V[2]+3*V[0] Z_G(x)_0 = O1+Sp2 # Green Polys by orbit reps #54.1 : x[92] : [8, 3, 3],[] : [[4, 2], [1]] Qxi[C7,54,1] = (x[92])*q^5 + (x[95]+x[96]+x[104])*q^4 + (x[98]+x[103])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # 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)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,54,1] = (x[92])*q^5 + (x[95]+x[96]+x[104])*q^4 + (x[98]+x[103])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #55 : [8, 4, 1, 1] dim = 88 A(O) = Z2 , |A(O)_0| = 2 g_s = V[14]+2*V[10]+V[8]+2*V[7]+3*V[6]+V[4]+2*V[3]+2*V[2]+3*V[0] Z_G(x)_0 = Sp2+2*O1 # Green Polys by orbit reps #55.1 : x[93] : [8, 4, 1, 1],[1] : [[4], [2, 1]] Qxi[C7,55,1] = (x[93])*q^5 + (x[95]+x[101]+x[105])*q^4 + (x[98]+x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #55.2 : x[94] : [8, 4, 1, 1],[-1] : [[1], [5, 1]] Qxi[C7,55,2] = (x[94])*q^5 + (x[97]+x[99]+x[102])*q^4 + (2*x[106])*q^3 + (x[109])*q^2 # Green Polys by conj class in A(O) #55.1 : c = () |O_x_c^F| = 1/2*q^34*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,55,1] = (x[93]+x[94])*q^5 + (x[95]+x[97]+x[99]+x[101]+x[102]+x[105])*q^4 + (x[98]+x[103]+2*x[106]+x[108])*q^3 + (x[105]+x[107]+x[109])*q^2 + (x[108])*q + x[110] #55.2 : c = (1) |O_x_c^F| = 1/2*q^34*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,55,2] = (x[93]-x[94])*q^5 + (x[95]-x[97]-x[99]+x[101]-x[102]+x[105])*q^4 + (x[98]+x[103]-2*x[106]+x[108])*q^3 + (x[105]+x[107]-x[109])*q^2 + (x[108])*q + x[110] orbit #56 : [8, 4, 2] dim = 90 A(O) = Z2^2 , |A(O)_0| = 3 g_s = V[14]+2*V[10]+2*V[8]+4*V[6]+2*V[4]+4*V[2] Z_G(x)_0 = 3*O1 # Green Polys by orbit reps #56.1 : x[95] : [8, 4, 2],[1, 1] : [[4, 1], [2]] Qxi[C7,56,1] = (x[95])*q^4 + (x[98]+x[103])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #56.2 : x[96] : [8, 4, 2],[-1, 1] : [[4, 3], []] Qxi[C7,56,2] = (x[96])*q^4 #56.3 : x[97] : [8, 4, 2],[1, -1] : [[1, 1], [5]] Qxi[C7,56,3] = (x[97])*q^4 + (x[106])*q^3 # Green Polys by conj class in A(O) #56.1 : c = () |O_x_c^F| = 1/4*q^34*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,56,1] = (x[95]+x[96]+x[97])*q^4 + (x[98]+x[103]+x[106])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #56.2 : c = (1) |O_x_c^F| = 1/4*q^34*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,56,2] = (x[95]-x[96]+x[97])*q^4 + (x[98]+x[103]+x[106])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #56.3 : c = (2) |O_x_c^F| = 1/4*q^34*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,56,3] = (x[95]+x[96]-x[97])*q^4 + (x[98]+x[103]-x[106])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #56.4 : c = (12) |O_x_c^F| = 1/4*q^34*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,56,4] = (x[95]-x[96]-x[97])*q^4 + (x[98]+x[103]-x[106])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #57 : [8, 6] dim = 92 A(O) = Z2 , |A(O)_0| = 2 g_s = 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 #57.1 : x[98] : [8, 6],[1] : [[4], [3]] Qxi[C7,57,1] = (x[98])*q^3 + (x[105])*q^2 + (x[108])*q + x[110] #57.2 : x[99] : [8, 6],[-1] : [[2], [5]] Qxi[C7,57,2] = (x[99])*q^3 + (x[106])*q^2 + (x[109])*q # Green Polys by conj class in A(O) #57.1 : c = () |O_x_c^F| = 1/2*q^36*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,57,1] = (x[98]+x[99])*q^3 + (x[105]+x[106])*q^2 + (x[108]+x[109])*q + x[110] #57.2 : c = (1) |O_x_c^F| = 1/2*q^36*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,57,2] = (x[98]-x[99])*q^3 + (x[105]-x[106])*q^2 + (x[108]-x[109])*q + x[110] orbit #58 : [10, 1, 1, 1, 1] dim = 86 A(O) = 1 , |A(O)_0| = 1 g_s = V[18]+V[14]+V[10]+4*V[9]+V[6]+V[2]+10*V[0] Z_G(x)_0 = O1+Sp4 # Green Polys by orbit reps #58.1 : x[100] : [10, 1, 1, 1, 1],[] : [[5, 1, 1], []] Qxi[C7,58,1] = (x[100])*q^6 + (x[103])*q^5 + (x[101]+x[104]+x[107])*q^4 + (x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #58.1 : c = () |O_x_c^F| = q^36*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,58,1] = (x[100])*q^6 + (x[103])*q^5 + (x[101]+x[104]+x[107])*q^4 + (x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #59 : [10, 2, 1, 1] dim = 90 A(O) = Z2 , |A(O)_0| = 2 g_s = V[18]+V[14]+2*V[10]+2*V[9]+V[8]+V[6]+2*V[2]+2*V[1]+3*V[0] Z_G(x)_0 = Sp2+2*O1 # Green Polys by orbit reps #59.1 : x[101] : [10, 2, 1, 1],[1] : [[5], [1, 1]] Qxi[C7,59,1] = (x[101])*q^4 + (x[103]+x[108])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #59.2 : x[102] : [10, 2, 1, 1],[-1] : [[], [6, 1]] Qxi[C7,59,2] = (x[102])*q^4 + (x[106])*q^3 + (x[109])*q^2 # Green Polys by conj class in A(O) #59.1 : c = () |O_x_c^F| = 1/2*q^36*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,59,1] = (x[101]+x[102])*q^4 + (x[103]+x[106]+x[108])*q^3 + (x[105]+x[107]+x[109])*q^2 + (x[108])*q + x[110] #59.2 : c = (1) |O_x_c^F| = 1/2*q^36*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,59,2] = (x[101]-x[102])*q^4 + (x[103]-x[106]+x[108])*q^3 + (x[105]+x[107]-x[109])*q^2 + (x[108])*q + x[110] orbit #60 : [10, 2, 2] dim = 92 A(O) = Z2 , |A(O)_0| = 2 g_s = V[18]+V[14]+3*V[10]+2*V[8]+V[6]+4*V[2]+V[0] Z_G(x)_0 = O2+O1 # Green Polys by orbit reps #60.1 : x[103] : [10, 2, 2],[1] : [[5, 1], [1]] Qxi[C7,60,1] = (x[103])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #60.2 : x[104] : [10, 2, 2],[-1] : [[5, 2], []] Qxi[C7,60,2] = (x[104])*q^3 # Green Polys by conj class in A(O) #60.1 : c = () |O_x_c^F| = 1/2*q^37*(q+1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,60,1] = (x[103]+x[104])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] #60.2 : c = (1) |O_x_c^F| = 1/2*q^37*(q-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,60,2] = (x[103]-x[104])*q^3 + (x[105]+x[107])*q^2 + (x[108])*q + x[110] orbit #61 : [10, 4] dim = 94 A(O) = Z2 , |A(O)_0| = 2 g_s = V[18]+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 #61.1 : x[105] : [10, 4],[1] : [[5], [2]] Qxi[C7,61,1] = (x[105])*q^2 + (x[108])*q + x[110] #61.2 : x[106] : [10, 4],[-1] : [[1], [6]] Qxi[C7,61,2] = (x[106])*q^2 + (x[109])*q # Green Polys by conj class in A(O) #61.1 : c = () |O_x_c^F| = 1/2*q^38*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,61,1] = (x[105]+x[106])*q^2 + (x[108]+x[109])*q + x[110] #61.2 : c = (1) |O_x_c^F| = 1/2*q^38*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,61,2] = (x[105]-x[106])*q^2 + (x[108]-x[109])*q + x[110] orbit #62 : [12, 1, 1] dim = 94 A(O) = 1 , |A(O)_0| = 1 g_s = V[22]+V[18]+V[14]+2*V[11]+V[10]+V[6]+V[2]+3*V[0] Z_G(x)_0 = O1+Sp2 # Green Polys by orbit reps #62.1 : x[107] : [12, 1, 1],[] : [[6, 1], []] Qxi[C7,62,1] = (x[107])*q^2 + (x[108])*q + x[110] # Green Polys by conj class in A(O) #62.1 : c = () |O_x_c^F| = q^40*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,62,1] = (x[107])*q^2 + (x[108])*q + x[110] orbit #63 : [12, 2] dim = 96 A(O) = Z2 , |A(O)_0| = 2 g_s = V[22]+V[18]+V[14]+V[12]+2*V[10]+V[6]+2*V[2] Z_G(x)_0 = 2*O1 # Green Polys by orbit reps #63.1 : x[108] : [12, 2],[1] : [[6], [1]] Qxi[C7,63,1] = (x[108])*q + x[110] #63.2 : x[109] : [12, 2],[-1] : [[], [7]] Qxi[C7,63,2] = (x[109])*q # Green Polys by conj class in A(O) #63.1 : c = () |O_x_c^F| = 1/2*q^40*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,63,1] = (x[108]+x[109])*q + x[110] #63.2 : c = (1) |O_x_c^F| = 1/2*q^40*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,63,2] = (x[108]-x[109])*q + x[110] orbit #64 : [14] dim = 98 A(O) = 1 , |A(O)_0| = 1 g_s = V[26]+V[22]+V[18]+V[14]+V[10]+V[6]+V[2] Z_G(x)_0 = O1 # Green Polys by orbit reps #64.1 : x[110] : [14],[] : [[7], []] Qxi[C7,64,1] = x[110] # Green Polys by conj class in A(O) #64.1 : c = () |O_x_c^F| = q^42*(q^2-1)*(q^4-1)*(q^6-1)*(q^8-1)*(q^10-1)*(q^12-1)*(q^14-1) Qxc[C7,64,1] = x[110]