#### Green Polynomials for D6 #### W-rep key: # x[1] = [[], [1, 1, 1, 1, 1, 1]] , orbit = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[2] = [[1], [1, 1, 1, 1, 1]] , orbit = [2, 2, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[3] = [[1, 1], [1, 1, 1, 1]] , orbit = [2, 2, 2, 2, 1, 1, 1, 1] , A-rep = [] # x[4] = [[1, 1, 1], [1, 1, 1], 1] , orbit = [2, 2, 2, 2, 2, 2] , A-rep = [] # x[5] = [[1, 1, 1], [1, 1, 1], 2] , orbit = [2, 2, 2, 2, 2, 2, 0] , A-rep = [] # x[6] = [[], [2, 1, 1, 1, 1]] , orbit = [3, 1, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[7] = [[], [2, 2, 1, 1]] , orbit = [3, 2, 2, 1, 1, 1, 1, 1] , A-rep = [] # x[8] = [[], [2, 2, 2]] , orbit = [3, 2, 2, 2, 2, 1] , A-rep = [] # x[9] = [[1], [2, 1, 1, 1]] , orbit = [3, 3, 1, 1, 1, 1, 1, 1] , A-rep = [1] # x[10] = [[2], [1, 1, 1, 1]] , orbit = [3, 3, 1, 1, 1, 1, 1, 1] , A-rep = [-1] # x[11] = [[1, 1], [2, 1, 1]] , orbit = [3, 3, 2, 2, 1, 1] , A-rep = [1] # x[12] = [[2, 1], [1, 1, 1]] , orbit = [3, 3, 2, 2, 1, 1] , A-rep = [-1] # x[13] = [[1], [2, 2, 1]] , orbit = [3, 3, 3, 1, 1, 1] , A-rep = [] # x[14] = [[1, 1], [2, 2]] , orbit = [3, 3, 3, 3] , A-rep = [] # x[15] = [[2], [2, 1, 1]] , orbit = [4, 4, 1, 1, 1, 1] , A-rep = [] # x[16] = [[2, 1], [2, 1], 1] , orbit = [4, 4, 2, 2] , A-rep = [] # x[17] = [[2, 1], [2, 1], 2] , orbit = [4, 4, 2, 2, 0] , A-rep = [] # x[18] = [[2], [2, 2]] , orbit = [4, 4, 3, 1] , A-rep = [] # x[19] = [[], [3, 1, 1, 1]] , orbit = [5, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[20] = [[], [3, 2, 1]] , orbit = [5, 2, 2, 1, 1, 1] , A-rep = [] # x[21] = [[1], [3, 1, 1]] , orbit = [5, 3, 1, 1, 1, 1] , A-rep = [1] # x[22] = [[3], [1, 1, 1]] , orbit = [5, 3, 1, 1, 1, 1] , A-rep = [-1] # x[23] = [[1, 1], [3, 1]] , orbit = [5, 3, 2, 2] , A-rep = [] # x[24] = [[1], [3, 2]] , orbit = [5, 3, 3, 1] , A-rep = [1] # x[25] = [[], [3, 3]] , orbit = [5, 3, 3, 1] , A-rep = [-1] # x[26] = [[2], [3, 1]] , orbit = [5, 5, 1, 1] , A-rep = [1] # x[27] = [[3], [2, 1]] , orbit = [5, 5, 1, 1] , A-rep = [-1] # x[28] = [[3], [3], 1] , orbit = [6, 6] , A-rep = [] # x[29] = [[3], [3], 2] , orbit = [6, 6, 0] , A-rep = [] # x[30] = [[], [4, 1, 1]] , orbit = [7, 1, 1, 1, 1, 1] , A-rep = [] # x[31] = [[], [4, 2]] , orbit = [7, 2, 2, 1] , A-rep = [] # x[32] = [[1], [4, 1]] , orbit = [7, 3, 1, 1] , A-rep = [1] # x[33] = [[1, 1], [4]] , orbit = [7, 3, 1, 1] , A-rep = [-1] # x[34] = [[2], [4]] , orbit = [7, 5] , A-rep = [] # x[35] = [[], [5, 1]] , orbit = [9, 1, 1, 1] , A-rep = [] # x[36] = [[1], [5]] , orbit = [9, 3] , A-rep = [] # x[37] = [[], [6]] , orbit = [11, 1] , A-rep = [] ### Green Polynomials by Orbit orbit #1 : [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] dim = 0 A(O) = 1 , |A(O)_0| = 1 g_s = 66*V[0] Z_G(x)_0 = D6 # Green Polys by orbit reps #1.1 : x[1] : [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[], [6]] Qxi[D6,1,1] = (x[1])*q^30 + (x[2])*q^29 + (x[3]+x[6])*q^28 + (x[2]+x[4]+x[5]+x[9])*q^27 + (2*x[3]+x[6]+x[7]+x[10]+x[11])*q^26 + (2*x[2]+x[4]+x[5]+2*x[9]+2*x[12]+x[13])*q^25 + (3*x[3]+x[6]+x[7]+x[8]+2*x[10]+3*x[11]+x[14]+x[15]+x[19])*q^24 + (x[2]+2*x[4]+2*x[5]+4*x[9]+4*x[12]+2*x[13]+x[16]+x[17]+x[21])*q^23 + (3*x[3]+x[6]+2*x[7]+3*x[10]+6*x[11]+2*x[14]+3*x[15]+x[18]+x[19]+x[20]+x[23])*q^22 + (x[2]+2*x[4]+2*x[5]+5*x[9]+6*x[12]+4*x[13]+3*x[16]+3*x[17]+2*x[21]+2*x[22]+x[24])*q^21 + (3*x[3]+x[6]+x[7]+x[8]+3*x[10]+8*x[11]+4*x[14]+6*x[15]+2*x[18]+2*x[19]+2*x[20]+3*x[23]+x[26])*q^20 + (2*x[4]+2*x[5]+5*x[9]+8*x[12]+5*x[13]+5*x[16]+5*x[17]+5*x[21]+2*x[22]+2*x[24]+2*x[27])*q^19 + (2*x[3]+2*x[7]+x[8]+3*x[10]+9*x[11]+5*x[14]+8*x[15]+4*x[18]+2*x[19]+2*x[20]+6*x[23]+x[25]+3*x[26]+x[30])*q^18 + (x[4]+x[5]+4*x[9]+8*x[12]+6*x[13]+7*x[16]+7*x[17]+6*x[21]+4*x[22]+4*x[24]+4*x[27]+x[32])*q^17 + (x[3]+x[7]+x[8]+2*x[10]+8*x[11]+6*x[14]+9*x[15]+5*x[18]+2*x[19]+3*x[20]+8*x[23]+6*x[26]+x[30]+x[31]+x[33])*q^16 + (x[4]+x[5]+2*x[9]+6*x[12]+5*x[13]+8*x[16]+8*x[17]+8*x[21]+4*x[22]+5*x[24]+6*x[27]+x[28]+x[29]+2*x[32])*q^15 + (x[7]+x[10]+6*x[11]+5*x[14]+8*x[15]+6*x[18]+x[19]+3*x[20]+9*x[23]+x[25]+8*x[26]+2*x[30]+x[31]+2*x[33]+x[34])*q^14 + (x[9]+4*x[12]+4*x[13]+7*x[16]+7*x[17]+6*x[21]+4*x[22]+6*x[24]+8*x[27]+x[28]+x[29]+4*x[32])*q^13 + (x[8]+3*x[11]+4*x[14]+6*x[15]+5*x[18]+x[19]+2*x[20]+8*x[23]+x[25]+9*x[26]+2*x[30]+2*x[31]+3*x[33]+2*x[34])*q^12 + (2*x[12]+2*x[13]+5*x[16]+5*x[17]+5*x[21]+2*x[22]+5*x[24]+8*x[27]+2*x[28]+2*x[29]+5*x[32])*q^11 + (x[11]+2*x[14]+3*x[15]+4*x[18]+2*x[20]+6*x[23]+x[25]+8*x[26]+2*x[30]+x[31]+3*x[33]+3*x[34]+x[35])*q^10 + (x[13]+3*x[16]+3*x[17]+2*x[21]+2*x[22]+4*x[24]+6*x[27]+2*x[28]+2*x[29]+5*x[32]+x[36])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+3*x[23]+6*x[26]+x[30]+2*x[31]+3*x[33]+3*x[34]+x[35])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+4*x[27]+2*x[28]+2*x[29]+4*x[32]+x[36])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+2*x[33]+3*x[34]+x[35])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]+2*x[36])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #1.1 : c = () |O_x_c^F| = 1 Qxc[D6,1,1] = (x[1])*q^30 + (x[2])*q^29 + (x[3]+x[6])*q^28 + (x[2]+x[4]+x[5]+x[9])*q^27 + (2*x[3]+x[6]+x[7]+x[10]+x[11])*q^26 + (2*x[2]+x[4]+x[5]+2*x[9]+2*x[12]+x[13])*q^25 + (3*x[3]+x[6]+x[7]+x[8]+2*x[10]+3*x[11]+x[14]+x[15]+x[19])*q^24 + (x[2]+2*x[4]+2*x[5]+4*x[9]+4*x[12]+2*x[13]+x[16]+x[17]+x[21])*q^23 + (3*x[3]+x[6]+2*x[7]+3*x[10]+6*x[11]+2*x[14]+3*x[15]+x[18]+x[19]+x[20]+x[23])*q^22 + (x[2]+2*x[4]+2*x[5]+5*x[9]+6*x[12]+4*x[13]+3*x[16]+3*x[17]+2*x[21]+2*x[22]+x[24])*q^21 + (3*x[3]+x[6]+x[7]+x[8]+3*x[10]+8*x[11]+4*x[14]+6*x[15]+2*x[18]+2*x[19]+2*x[20]+3*x[23]+x[26])*q^20 + (2*x[4]+2*x[5]+5*x[9]+8*x[12]+5*x[13]+5*x[16]+5*x[17]+5*x[21]+2*x[22]+2*x[24]+2*x[27])*q^19 + (2*x[3]+2*x[7]+x[8]+3*x[10]+9*x[11]+5*x[14]+8*x[15]+4*x[18]+2*x[19]+2*x[20]+6*x[23]+x[25]+3*x[26]+x[30])*q^18 + (x[4]+x[5]+4*x[9]+8*x[12]+6*x[13]+7*x[16]+7*x[17]+6*x[21]+4*x[22]+4*x[24]+4*x[27]+x[32])*q^17 + (x[3]+x[7]+x[8]+2*x[10]+8*x[11]+6*x[14]+9*x[15]+5*x[18]+2*x[19]+3*x[20]+8*x[23]+6*x[26]+x[30]+x[31]+x[33])*q^16 + (x[4]+x[5]+2*x[9]+6*x[12]+5*x[13]+8*x[16]+8*x[17]+8*x[21]+4*x[22]+5*x[24]+6*x[27]+x[28]+x[29]+2*x[32])*q^15 + (x[7]+x[10]+6*x[11]+5*x[14]+8*x[15]+6*x[18]+x[19]+3*x[20]+9*x[23]+x[25]+8*x[26]+2*x[30]+x[31]+2*x[33]+x[34])*q^14 + (x[9]+4*x[12]+4*x[13]+7*x[16]+7*x[17]+6*x[21]+4*x[22]+6*x[24]+8*x[27]+x[28]+x[29]+4*x[32])*q^13 + (x[8]+3*x[11]+4*x[14]+6*x[15]+5*x[18]+x[19]+2*x[20]+8*x[23]+x[25]+9*x[26]+2*x[30]+2*x[31]+3*x[33]+2*x[34])*q^12 + (2*x[12]+2*x[13]+5*x[16]+5*x[17]+5*x[21]+2*x[22]+5*x[24]+8*x[27]+2*x[28]+2*x[29]+5*x[32])*q^11 + (x[11]+2*x[14]+3*x[15]+4*x[18]+2*x[20]+6*x[23]+x[25]+8*x[26]+2*x[30]+x[31]+3*x[33]+3*x[34]+x[35])*q^10 + (x[13]+3*x[16]+3*x[17]+2*x[21]+2*x[22]+4*x[24]+6*x[27]+2*x[28]+2*x[29]+5*x[32]+x[36])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+3*x[23]+6*x[26]+x[30]+2*x[31]+3*x[33]+3*x[34]+x[35])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+4*x[27]+2*x[28]+2*x[29]+4*x[32]+x[36])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+2*x[33]+3*x[34]+x[35])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]+2*x[36])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #2 : [2, 2, 1, 1, 1, 1, 1, 1, 1, 1] dim = 18 A(O) = 1 , |A(O)_0| = 1 g_s = 16*V[1]+V[2]+31*V[0] Z_G(x)_0 = O8+Sp2 # Green Polys by orbit reps #2.1 : x[2] : [2, 2, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[1], [1, 1, 1, 1, 1]] Qxi[D6,2,1] = (x[2])*q^21 + (x[3]+x[6]+x[10])*q^20 + (x[4]+x[5]+2*x[9]+x[12])*q^19 + (2*x[3]+x[7]+x[10]+3*x[11]+x[15]+x[19])*q^18 + (x[4]+x[5]+3*x[9]+4*x[12]+2*x[13]+x[16]+x[17]+x[21]+x[22])*q^17 + (x[3]+x[7]+x[8]+2*x[10]+5*x[11]+3*x[14]+4*x[15]+x[18]+x[19]+x[20]+2*x[23])*q^16 + (x[4]+x[5]+2*x[9]+5*x[12]+4*x[13]+4*x[16]+4*x[17]+4*x[21]+2*x[22]+x[24]+x[27])*q^15 + (x[7]+x[10]+6*x[11]+4*x[14]+6*x[15]+3*x[18]+x[19]+2*x[20]+5*x[23]+3*x[26]+x[30])*q^14 + (x[9]+4*x[12]+4*x[13]+6*x[16]+6*x[17]+5*x[21]+3*x[22]+4*x[24]+4*x[27]+x[32])*q^13 + (x[8]+3*x[11]+4*x[14]+6*x[15]+5*x[18]+x[19]+2*x[20]+7*x[23]+x[25]+6*x[26]+x[30]+x[31]+2*x[33])*q^12 + (2*x[12]+2*x[13]+5*x[16]+5*x[17]+5*x[21]+2*x[22]+5*x[24]+7*x[27]+x[28]+x[29]+3*x[32])*q^11 + (x[11]+2*x[14]+3*x[15]+4*x[18]+2*x[20]+6*x[23]+x[25]+8*x[26]+2*x[30]+x[31]+2*x[33]+2*x[34])*q^10 + (x[13]+3*x[16]+3*x[17]+2*x[21]+2*x[22]+4*x[24]+6*x[27]+2*x[28]+2*x[29]+5*x[32])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+3*x[23]+6*x[26]+x[30]+2*x[31]+3*x[33]+3*x[34]+x[35])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+4*x[27]+2*x[28]+2*x[29]+4*x[32]+x[36])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+2*x[33]+3*x[34]+x[35])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]+2*x[36])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #2.1 : c = () |O_x_c^F| = (q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^10-1) Qxc[D6,2,1] = (x[2])*q^21 + (x[3]+x[6]+x[10])*q^20 + (x[4]+x[5]+2*x[9]+x[12])*q^19 + (2*x[3]+x[7]+x[10]+3*x[11]+x[15]+x[19])*q^18 + (x[4]+x[5]+3*x[9]+4*x[12]+2*x[13]+x[16]+x[17]+x[21]+x[22])*q^17 + (x[3]+x[7]+x[8]+2*x[10]+5*x[11]+3*x[14]+4*x[15]+x[18]+x[19]+x[20]+2*x[23])*q^16 + (x[4]+x[5]+2*x[9]+5*x[12]+4*x[13]+4*x[16]+4*x[17]+4*x[21]+2*x[22]+x[24]+x[27])*q^15 + (x[7]+x[10]+6*x[11]+4*x[14]+6*x[15]+3*x[18]+x[19]+2*x[20]+5*x[23]+3*x[26]+x[30])*q^14 + (x[9]+4*x[12]+4*x[13]+6*x[16]+6*x[17]+5*x[21]+3*x[22]+4*x[24]+4*x[27]+x[32])*q^13 + (x[8]+3*x[11]+4*x[14]+6*x[15]+5*x[18]+x[19]+2*x[20]+7*x[23]+x[25]+6*x[26]+x[30]+x[31]+2*x[33])*q^12 + (2*x[12]+2*x[13]+5*x[16]+5*x[17]+5*x[21]+2*x[22]+5*x[24]+7*x[27]+x[28]+x[29]+3*x[32])*q^11 + (x[11]+2*x[14]+3*x[15]+4*x[18]+2*x[20]+6*x[23]+x[25]+8*x[26]+2*x[30]+x[31]+2*x[33]+2*x[34])*q^10 + (x[13]+3*x[16]+3*x[17]+2*x[21]+2*x[22]+4*x[24]+6*x[27]+2*x[28]+2*x[29]+5*x[32])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+3*x[23]+6*x[26]+x[30]+2*x[31]+3*x[33]+3*x[34]+x[35])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+4*x[27]+2*x[28]+2*x[29]+4*x[32]+x[36])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+2*x[33]+3*x[34]+x[35])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]+2*x[36])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #3 : [2, 2, 2, 2, 1, 1, 1, 1] dim = 28 A(O) = 1 , |A(O)_0| = 1 g_s = 6*V[2]+16*V[1]+16*V[0] Z_G(x)_0 = Sp4+O4 # Green Polys by orbit reps #3.1 : x[3] : [2, 2, 2, 2, 1, 1, 1, 1],[] : [[1, 1], [1, 1, 1, 1]] Qxi[D6,3,1] = (x[3])*q^16 + (x[4]+x[5]+x[9]+x[12])*q^15 + (x[7]+x[10]+3*x[11]+x[14]+x[15])*q^14 + (x[9]+3*x[12]+3*x[13]+2*x[16]+2*x[17]+x[21]+x[22])*q^13 + (x[8]+3*x[11]+3*x[14]+4*x[15]+2*x[18]+x[19]+x[20]+3*x[23]+x[26])*q^12 + (2*x[12]+2*x[13]+4*x[16]+4*x[17]+4*x[21]+x[22]+3*x[24]+3*x[27])*q^11 + (x[11]+2*x[14]+3*x[15]+4*x[18]+2*x[20]+5*x[23]+x[25]+5*x[26]+x[30]+x[33])*q^10 + (x[13]+3*x[16]+3*x[17]+2*x[21]+2*x[22]+4*x[24]+5*x[27]+x[28]+x[29]+3*x[32])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+3*x[23]+6*x[26]+x[30]+2*x[31]+2*x[33]+2*x[34])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+4*x[27]+2*x[28]+2*x[29]+4*x[32])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+2*x[33]+3*x[34]+x[35])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]+2*x[36])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #3.1 : c = () |O_x_c^F| = q^2*(q^2-q+1)^2*(q^2+q+1)^2*(q^8-1)*(q^10-1) Qxc[D6,3,1] = (x[3])*q^16 + (x[4]+x[5]+x[9]+x[12])*q^15 + (x[7]+x[10]+3*x[11]+x[14]+x[15])*q^14 + (x[9]+3*x[12]+3*x[13]+2*x[16]+2*x[17]+x[21]+x[22])*q^13 + (x[8]+3*x[11]+3*x[14]+4*x[15]+2*x[18]+x[19]+x[20]+3*x[23]+x[26])*q^12 + (2*x[12]+2*x[13]+4*x[16]+4*x[17]+4*x[21]+x[22]+3*x[24]+3*x[27])*q^11 + (x[11]+2*x[14]+3*x[15]+4*x[18]+2*x[20]+5*x[23]+x[25]+5*x[26]+x[30]+x[33])*q^10 + (x[13]+3*x[16]+3*x[17]+2*x[21]+2*x[22]+4*x[24]+5*x[27]+x[28]+x[29]+3*x[32])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+3*x[23]+6*x[26]+x[30]+2*x[31]+2*x[33]+2*x[34])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+4*x[27]+2*x[28]+2*x[29]+4*x[32])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+2*x[33]+3*x[34]+x[35])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]+2*x[36])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #4 : [2, 2, 2, 2, 2, 2] dim = 30 A(O) = 1 , |A(O)_0| = 1 g_s = 15*V[2]+21*V[0] Z_G(x)_0 = Sp6 # Green Polys by orbit reps #4.1 : x[4] : [2, 2, 2, 2, 2, 2],[] : [[1, 1, 1], [1, 1, 1], 1] Qxi[D6,4,1] = (x[4])*q^15 + (x[11])*q^14 + (x[12]+x[13]+x[16])*q^13 + (x[8]+x[11]+x[14]+x[15]+x[18]+x[23])*q^12 + (x[12]+x[13]+2*x[16]+x[17]+x[21]+x[24]+x[27])*q^11 + (x[11]+x[14]+x[15]+2*x[18]+x[20]+2*x[23]+2*x[26])*q^10 + (x[13]+2*x[16]+2*x[17]+x[21]+x[22]+2*x[24]+2*x[27]+x[28]+x[32])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+2*x[23]+3*x[26]+x[31]+x[33]+x[34])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+3*x[27]+x[28]+x[29]+2*x[32])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+x[33]+2*x[34])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]+x[36])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #4.1 : c = () |O_x_c^F| = q^6*(q^6-1)*(q^8-1)*(q^10-1) Qxc[D6,4,1] = (x[4])*q^15 + (x[11])*q^14 + (x[12]+x[13]+x[16])*q^13 + (x[8]+x[11]+x[14]+x[15]+x[18]+x[23])*q^12 + (x[12]+x[13]+2*x[16]+x[17]+x[21]+x[24]+x[27])*q^11 + (x[11]+x[14]+x[15]+2*x[18]+x[20]+2*x[23]+2*x[26])*q^10 + (x[13]+2*x[16]+2*x[17]+x[21]+x[22]+2*x[24]+2*x[27]+x[28]+x[32])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+2*x[23]+3*x[26]+x[31]+x[33]+x[34])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+3*x[27]+x[28]+x[29]+2*x[32])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+x[33]+2*x[34])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]+x[36])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #5 : [2, 2, 2, 2, 2, 2, 0] dim = 30 A(O) = 1 , |A(O)_0| = 1 g_s = 15*V[2]+21*V[0] Z_G(x)_0 = Sp6 # Green Polys by orbit reps #5.1 : x[5] : [2, 2, 2, 2, 2, 2, 0],[] : [[1, 1, 1], [1, 1, 1], 2] Qxi[D6,5,1] = (x[5])*q^15 + (x[11])*q^14 + (x[12]+x[13]+x[17])*q^13 + (x[8]+x[11]+x[14]+x[15]+x[18]+x[23])*q^12 + (x[12]+x[13]+x[16]+2*x[17]+x[21]+x[24]+x[27])*q^11 + (x[11]+x[14]+x[15]+2*x[18]+x[20]+2*x[23]+2*x[26])*q^10 + (x[13]+2*x[16]+2*x[17]+x[21]+x[22]+2*x[24]+2*x[27]+x[29]+x[32])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+2*x[23]+3*x[26]+x[31]+x[33]+x[34])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+3*x[27]+x[28]+x[29]+2*x[32])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+x[33]+2*x[34])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]+x[36])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #5.1 : c = () |O_x_c^F| = q^6*(q^6-1)*(q^8-1)*(q^10-1) Qxc[D6,5,1] = (x[5])*q^15 + (x[11])*q^14 + (x[12]+x[13]+x[17])*q^13 + (x[8]+x[11]+x[14]+x[15]+x[18]+x[23])*q^12 + (x[12]+x[13]+x[16]+2*x[17]+x[21]+x[24]+x[27])*q^11 + (x[11]+x[14]+x[15]+2*x[18]+x[20]+2*x[23]+2*x[26])*q^10 + (x[13]+2*x[16]+2*x[17]+x[21]+x[22]+2*x[24]+2*x[27]+x[29]+x[32])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+2*x[23]+3*x[26]+x[31]+x[33]+x[34])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+3*x[27]+x[28]+x[29]+2*x[32])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+x[33]+2*x[34])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]+x[36])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #6 : [3, 1, 1, 1, 1, 1, 1, 1, 1, 1] dim = 20 A(O) = 1 , |A(O)_0| = 1 g_s = 10*V[2]+36*V[0] Z_G(x)_0 = O9+O1 # Green Polys by orbit reps #6.1 : x[6] : [3, 1, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[], [2, 1, 1, 1, 1]] Qxi[D6,6,1] = (x[6])*q^20 + (x[9])*q^19 + (x[7]+x[11]+x[19])*q^18 + (x[9]+x[12]+x[13]+x[21])*q^17 + (x[7]+x[8]+x[10]+x[11]+x[14]+x[15]+x[19]+x[20]+x[23])*q^16 + (x[9]+x[12]+2*x[13]+x[16]+x[17]+2*x[21]+x[22]+x[24])*q^15 + (x[7]+2*x[11]+x[14]+2*x[15]+x[18]+x[19]+2*x[20]+2*x[23]+x[26]+x[30])*q^14 + (x[9]+x[12]+2*x[13]+2*x[16]+2*x[17]+3*x[21]+x[22]+2*x[24]+x[27]+x[32])*q^13 + (x[8]+x[11]+2*x[14]+3*x[15]+2*x[18]+x[19]+2*x[20]+3*x[23]+x[25]+2*x[26]+x[30]+x[31]+x[33])*q^12 + (x[12]+2*x[13]+2*x[16]+2*x[17]+3*x[21]+x[22]+3*x[24]+3*x[27]+2*x[32])*q^11 + (x[11]+x[14]+2*x[15]+2*x[18]+2*x[20]+3*x[23]+x[25]+4*x[26]+2*x[30]+x[31]+x[33]+x[34])*q^10 + (x[13]+2*x[16]+2*x[17]+2*x[21]+x[22]+3*x[24]+3*x[27]+x[28]+x[29]+3*x[32])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+2*x[23]+4*x[26]+x[30]+2*x[31]+2*x[33]+x[34]+x[35])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+3*x[27]+x[28]+x[29]+3*x[32]+x[36])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+x[33]+2*x[34]+x[35])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]+x[36])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #6.1 : c = () |O_x_c^F| = q^4*(q^6-1)*(q^10-1) Qxc[D6,6,1] = (x[6])*q^20 + (x[9])*q^19 + (x[7]+x[11]+x[19])*q^18 + (x[9]+x[12]+x[13]+x[21])*q^17 + (x[7]+x[8]+x[10]+x[11]+x[14]+x[15]+x[19]+x[20]+x[23])*q^16 + (x[9]+x[12]+2*x[13]+x[16]+x[17]+2*x[21]+x[22]+x[24])*q^15 + (x[7]+2*x[11]+x[14]+2*x[15]+x[18]+x[19]+2*x[20]+2*x[23]+x[26]+x[30])*q^14 + (x[9]+x[12]+2*x[13]+2*x[16]+2*x[17]+3*x[21]+x[22]+2*x[24]+x[27]+x[32])*q^13 + (x[8]+x[11]+2*x[14]+3*x[15]+2*x[18]+x[19]+2*x[20]+3*x[23]+x[25]+2*x[26]+x[30]+x[31]+x[33])*q^12 + (x[12]+2*x[13]+2*x[16]+2*x[17]+3*x[21]+x[22]+3*x[24]+3*x[27]+2*x[32])*q^11 + (x[11]+x[14]+2*x[15]+2*x[18]+2*x[20]+3*x[23]+x[25]+4*x[26]+2*x[30]+x[31]+x[33]+x[34])*q^10 + (x[13]+2*x[16]+2*x[17]+2*x[21]+x[22]+3*x[24]+3*x[27]+x[28]+x[29]+3*x[32])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+2*x[23]+4*x[26]+x[30]+2*x[31]+2*x[33]+x[34]+x[35])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+3*x[27]+x[28]+x[29]+3*x[32]+x[36])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+x[33]+2*x[34]+x[35])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]+x[36])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #7 : [3, 2, 2, 1, 1, 1, 1, 1] dim = 32 A(O) = 1 , |A(O)_0| = 1 g_s = 2*V[3]+7*V[2]+12*V[1]+13*V[0] Z_G(x)_0 = Sp2+O5+O1 # Green Polys by orbit reps #7.1 : x[7] : [3, 2, 2, 1, 1, 1, 1, 1],[] : [[], [2, 2, 1, 1]] Qxi[D6,7,1] = (x[7])*q^14 + (x[9]+x[13])*q^13 + (x[8]+x[11]+x[14]+x[15]+x[19]+x[20])*q^12 + (x[12]+2*x[13]+x[16]+x[17]+2*x[21]+x[24])*q^11 + (x[11]+x[14]+2*x[15]+2*x[18]+2*x[20]+2*x[23]+x[25]+x[26]+x[30])*q^10 + (x[13]+2*x[16]+2*x[17]+2*x[21]+x[22]+3*x[24]+2*x[27]+x[32])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+2*x[23]+4*x[26]+x[30]+2*x[31]+x[33])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+3*x[27]+x[28]+x[29]+3*x[32])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+x[33]+2*x[34]+x[35])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]+x[36])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #7.1 : c = () |O_x_c^F| = q^4*(q^2-q+1)*(q^2+q+1)*(q^6-1)*(q^8-1)*(q^10-1) Qxc[D6,7,1] = (x[7])*q^14 + (x[9]+x[13])*q^13 + (x[8]+x[11]+x[14]+x[15]+x[19]+x[20])*q^12 + (x[12]+2*x[13]+x[16]+x[17]+2*x[21]+x[24])*q^11 + (x[11]+x[14]+2*x[15]+2*x[18]+2*x[20]+2*x[23]+x[25]+x[26]+x[30])*q^10 + (x[13]+2*x[16]+2*x[17]+2*x[21]+x[22]+3*x[24]+2*x[27]+x[32])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+2*x[23]+4*x[26]+x[30]+2*x[31]+x[33])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+3*x[27]+x[28]+x[29]+3*x[32])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+x[33]+2*x[34]+x[35])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]+x[36])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #8 : [3, 2, 2, 2, 2, 1] dim = 36 A(O) = 1 , |A(O)_0| = 1 g_s = 4*V[3]+8*V[2]+8*V[1]+10*V[0] Z_G(x)_0 = Sp4+2*O1 # Green Polys by orbit reps #8.1 : x[8] : [3, 2, 2, 2, 2, 1],[] : [[], [2, 2, 2]] Qxi[D6,8,1] = (x[8])*q^12 + (x[13])*q^11 + (x[11]+x[18]+x[20])*q^10 + (x[13]+x[16]+x[17]+x[21]+x[24])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+x[23]+x[26]+x[31])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+2*x[27]+x[32])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+x[34])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #8.1 : c = () |O_x_c^F| = q^6*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,8,1] = (x[8])*q^12 + (x[13])*q^11 + (x[11]+x[18]+x[20])*q^10 + (x[13]+x[16]+x[17]+x[21]+x[24])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+x[23]+x[26]+x[31])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+2*x[27]+x[32])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+x[34])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #9 : [3, 3, 1, 1, 1, 1, 1, 1] dim = 34 A(O) = Z2 , |A(O)_0| = 2 g_s = V[4]+15*V[2]+16*V[0] Z_G(x)_0 = O6+O2 # Green Polys by orbit reps #9.1 : x[9] : [3, 3, 1, 1, 1, 1, 1, 1],[1] : [[1], [2, 1, 1, 1]] Qxi[D6,9,1] = (x[9])*q^13 + (x[11]+x[15]+x[19])*q^12 + (x[12]+x[13]+x[16]+x[17]+2*x[21])*q^11 + (x[11]+x[14]+2*x[15]+x[18]+x[20]+2*x[23]+x[26]+x[30])*q^10 + (x[13]+2*x[16]+2*x[17]+2*x[21]+x[22]+2*x[24]+2*x[27]+x[32])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+2*x[23]+4*x[26]+x[30]+x[31]+x[33])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+3*x[27]+x[28]+x[29]+3*x[32])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+x[33]+2*x[34]+x[35])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]+x[36])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] #9.2 : x[10] : [3, 3, 1, 1, 1, 1, 1, 1],[-1] : [[2], [1, 1, 1, 1]] Qxi[D6,9,2] = (x[10])*q^13 + (x[12]+x[22])*q^12 + (x[11]+x[15]+x[23])*q^11 + (x[12]+x[16]+x[17]+x[21]+x[22]+x[27])*q^10 + (x[14]+x[15]+x[18]+2*x[23]+x[26]+x[33])*q^9 + (x[16]+x[17]+x[22]+x[24]+2*x[27]+x[32])*q^8 + (x[23]+2*x[26]+x[33]+x[34])*q^7 + (x[27]+x[28]+x[29]+x[32])*q^6 + (x[33]+x[34])*q^5 + (x[36])*q^4 # Green Polys by conj class in A(O) #9.1 : c = () |O_x_c^F| = 1/2*q^8*(q^2+q+1)*(q^3+1)^2*(q^8-1)*(q^10-1) Qxc[D6,9,1] = (x[9]+x[10])*q^13 + (x[11]+x[12]+x[15]+x[19]+x[22])*q^12 + (x[11]+x[12]+x[13]+x[15]+x[16]+x[17]+2*x[21]+x[23])*q^11 + (x[11]+x[12]+x[14]+2*x[15]+x[16]+x[17]+x[18]+x[20]+x[21]+x[22]+2*x[23]+x[26]+x[27]+x[30])*q^10 + (x[13]+x[14]+x[15]+2*x[16]+2*x[17]+x[18]+2*x[21]+x[22]+2*x[23]+2*x[24]+x[26]+2*x[27]+x[32]+x[33])*q^9 + (x[14]+x[15]+x[16]+x[17]+2*x[18]+x[20]+x[22]+2*x[23]+x[24]+4*x[26]+2*x[27]+x[30]+x[31]+x[32]+x[33])*q^8 + (x[16]+x[17]+x[21]+x[23]+2*x[24]+2*x[26]+3*x[27]+x[28]+x[29]+3*x[32]+x[33]+x[34])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[27]+x[28]+x[29]+x[30]+x[31]+x[32]+x[33]+2*x[34]+x[35])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]+x[33]+x[34]+x[36])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35]+x[36])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] #9.2 : c = (1) |O_x_c^F| = 1/2*q^8*(q^2-q+1)*(q^3-1)^2*(q^8-1)*(q^10-1) Qxc[D6,9,2] = (x[9]-x[10])*q^13 + (x[11]-x[12]+x[15]+x[19]-x[22])*q^12 + (-x[11]+x[12]+x[13]-x[15]+x[16]+x[17]+2*x[21]-x[23])*q^11 + (x[11]-x[12]+x[14]+2*x[15]-x[16]-x[17]+x[18]+x[20]-x[21]-x[22]+2*x[23]+x[26]-x[27]+x[30])*q^10 + (x[13]-x[14]-x[15]+2*x[16]+2*x[17]-x[18]+2*x[21]+x[22]-2*x[23]+2*x[24]-x[26]+2*x[27]+x[32]-x[33])*q^9 + (x[14]+x[15]-x[16]-x[17]+2*x[18]+x[20]-x[22]+2*x[23]-x[24]+4*x[26]-2*x[27]+x[30]+x[31]-x[32]+x[33])*q^8 + (x[16]+x[17]+x[21]-x[23]+2*x[24]-2*x[26]+3*x[27]+x[28]+x[29]+3*x[32]-x[33]-x[34])*q^7 + (x[18]+x[23]+x[25]+3*x[26]-x[27]-x[28]-x[29]+x[30]+x[31]-x[32]+x[33]+2*x[34]+x[35])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]-x[33]-x[34]+x[36])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35]-x[36])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #10 : [3, 3, 2, 2, 1, 1] dim = 40 A(O) = Z2 , |A(O)_0| = 2 g_s = V[4]+4*V[3]+8*V[2]+8*V[1]+5*V[0] Z_G(x)_0 = Sp2+2*O2 # Green Polys by orbit reps #10.1 : x[11] : [3, 3, 2, 2, 1, 1],[1] : [[1, 1], [2, 1, 1]] Qxi[D6,10,1] = (x[11])*q^10 + (x[13]+x[16]+x[17]+x[21])*q^9 + (x[14]+x[15]+2*x[18]+x[20]+x[23]+x[26])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+2*x[27]+x[32])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31]+x[34])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] #10.2 : x[12] : [3, 3, 2, 2, 1, 1],[-1] : [[2, 1], [1, 1, 1]] Qxi[D6,10,2] = (x[12])*q^10 + (x[14]+x[15]+x[23])*q^9 + (x[16]+x[17]+x[22]+x[24]+x[27])*q^8 + (x[23]+2*x[26]+x[33])*q^7 + (x[27]+x[28]+x[29]+x[32])*q^6 + (x[33]+x[34])*q^5 + (x[36])*q^4 # Green Polys by conj class in A(O) #10.1 : c = () |O_x_c^F| = 1/2*q^8*(q^2+q+1)*(q+1)*(q^2+1)*(q^3+1)*(q^6-1)*(q^8-1)*(q^10-1) Qxc[D6,10,1] = (x[11]+x[12])*q^10 + (x[13]+x[14]+x[15]+x[16]+x[17]+x[21]+x[23])*q^9 + (x[14]+x[15]+x[16]+x[17]+2*x[18]+x[20]+x[22]+x[23]+x[24]+x[26]+x[27])*q^8 + (x[16]+x[17]+x[21]+x[23]+2*x[24]+2*x[26]+2*x[27]+x[32]+x[33])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[27]+x[28]+x[29]+x[30]+x[31]+x[32]+x[34])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]+x[33]+x[34])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35]+x[36])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] #10.2 : c = (1) |O_x_c^F| = 1/2*q^8*(q^2-q+1)*(q-1)*(q^2+1)*(q^3-1)*(q^6-1)*(q^8-1)*(q^10-1) Qxc[D6,10,2] = (x[11]-x[12])*q^10 + (x[13]-x[14]-x[15]+x[16]+x[17]+x[21]-x[23])*q^9 + (x[14]+x[15]-x[16]-x[17]+2*x[18]+x[20]-x[22]+x[23]-x[24]+x[26]-x[27])*q^8 + (x[16]+x[17]+x[21]-x[23]+2*x[24]-2*x[26]+2*x[27]+x[32]-x[33])*q^7 + (x[18]+x[23]+x[25]+3*x[26]-x[27]-x[28]-x[29]+x[30]+x[31]-x[32]+x[34])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32]-x[33]-x[34])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35]-x[36])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #11 : [3, 3, 3, 1, 1, 1] dim = 42 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[4]+15*V[2]+6*V[0] Z_G(x)_0 = 2*O3 # Green Polys by orbit reps #11.1 : x[13] : [3, 3, 3, 1, 1, 1],[] : [[1], [2, 2, 1]] Qxi[D6,11,1] = (x[13])*q^9 + (x[14]+x[15]+x[18]+x[20])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+x[27])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #11.1 : c = () |O_x_c^F| = q^10*(q^2+1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,11,1] = (x[13])*q^9 + (x[14]+x[15]+x[18]+x[20])*q^8 + (x[16]+x[17]+x[21]+2*x[24]+x[27])*q^7 + (x[18]+x[23]+x[25]+3*x[26]+x[30]+x[31])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+2*x[32])*q^5 + (x[26]+x[31]+x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #12 : [3, 3, 3, 3] dim = 44 A(O) = 1 , |A(O)_0| = 1 g_s = 6*V[4]+10*V[2]+6*V[0] Z_G(x)_0 = O4 # Green Polys by orbit reps #12.1 : x[14] : [3, 3, 3, 3],[] : [[1, 1], [2, 2]] Qxi[D6,12,1] = (x[14])*q^8 + (x[16]+x[17]+x[24])*q^7 + (x[18]+x[23]+x[25]+2*x[26])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+x[32])*q^5 + (x[26]+x[31]+x[33]+2*x[34])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #12.1 : c = () |O_x_c^F| = q^12*(q^2+1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,12,1] = (x[14])*q^8 + (x[16]+x[17]+x[24])*q^7 + (x[18]+x[23]+x[25]+2*x[26])*q^6 + (x[24]+2*x[27]+x[28]+x[29]+x[32])*q^5 + (x[26]+x[31]+x[33]+2*x[34])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #13 : [4, 4, 1, 1, 1, 1] dim = 44 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+3*V[4]+8*V[3]+V[2]+9*V[0] Z_G(x)_0 = Sp2+O4 # Green Polys by orbit reps #13.1 : x[15] : [4, 4, 1, 1, 1, 1],[] : [[2], [2, 1, 1]] Qxi[D6,13,1] = (x[15])*q^8 + (x[16]+x[17]+x[21]+x[22]+x[27])*q^7 + (x[18]+2*x[23]+3*x[26]+x[30]+x[33])*q^6 + (x[24]+3*x[27]+x[28]+x[29]+3*x[32])*q^5 + (x[26]+x[31]+2*x[33]+3*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+2*x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #13.1 : c = () |O_x_c^F| = q^14*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^6-1)*(q^8-1)*(q^10-1) Qxc[D6,13,1] = (x[15])*q^8 + (x[16]+x[17]+x[21]+x[22]+x[27])*q^7 + (x[18]+2*x[23]+3*x[26]+x[30]+x[33])*q^6 + (x[24]+3*x[27]+x[28]+x[29]+3*x[32])*q^5 + (x[26]+x[31]+2*x[33]+3*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+2*x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #14 : [4, 4, 2, 2] dim = 46 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+7*V[4]+6*V[2]+6*V[0] Z_G(x)_0 = 2*Sp2 # Green Polys by orbit reps #14.1 : x[16] : [4, 4, 2, 2],[] : [[2, 1], [2, 1], 1] Qxi[D6,14,1] = (x[16])*q^7 + (x[18]+x[23]+x[26])*q^6 + (x[24]+2*x[27]+x[28]+x[32])*q^5 + (x[26]+x[31]+x[33]+2*x[34])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #14.1 : c = () |O_x_c^F| = q^14*(q^2+1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,14,1] = (x[16])*q^7 + (x[18]+x[23]+x[26])*q^6 + (x[24]+2*x[27]+x[28]+x[32])*q^5 + (x[26]+x[31]+x[33]+2*x[34])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #15 : [4, 4, 2, 2, 0] dim = 46 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+7*V[4]+6*V[2]+6*V[0] Z_G(x)_0 = 2*Sp2 # Green Polys by orbit reps #15.1 : x[17] : [4, 4, 2, 2, 0],[] : [[2, 1], [2, 1], 2] Qxi[D6,15,1] = (x[17])*q^7 + (x[18]+x[23]+x[26])*q^6 + (x[24]+2*x[27]+x[29]+x[32])*q^5 + (x[26]+x[31]+x[33]+2*x[34])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #15.1 : c = () |O_x_c^F| = q^14*(q^2+1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,15,1] = (x[17])*q^7 + (x[18]+x[23]+x[26])*q^6 + (x[24]+2*x[27]+x[29]+x[32])*q^5 + (x[26]+x[31]+x[33]+2*x[34])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #16 : [4, 4, 3, 1] dim = 48 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+2*V[5]+3*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 #16.1 : x[18] : [4, 4, 3, 1],[] : [[2], [2, 2]] Qxi[D6,16,1] = (x[18])*q^6 + (x[24]+x[27])*q^5 + (x[26]+x[31]+x[34])*q^4 + (x[28]+x[29]+x[32])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #16.1 : c = () |O_x_c^F| = q^14*(q^4-1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,16,1] = (x[18])*q^6 + (x[24]+x[27])*q^5 + (x[26]+x[31]+x[34])*q^4 + (x[28]+x[29]+x[32])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #17 : [5, 1, 1, 1, 1, 1, 1, 1] dim = 36 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+7*V[4]+V[2]+21*V[0] Z_G(x)_0 = O7+O1 # Green Polys by orbit reps #17.1 : x[19] : [5, 1, 1, 1, 1, 1, 1, 1],[] : [[], [3, 1, 1, 1]] Qxi[D6,17,1] = (x[19])*q^12 + (x[21])*q^11 + (x[20]+x[23]+x[30])*q^10 + (x[21]+x[22]+x[24]+x[32])*q^9 + (x[20]+x[23]+x[26]+x[30]+x[31]+x[33])*q^8 + (x[21]+x[24]+x[27]+2*x[32])*q^7 + (x[23]+x[25]+x[26]+x[30]+x[31]+x[33]+x[34]+x[35])*q^6 + (x[24]+x[27]+2*x[32]+x[36])*q^5 + (x[26]+x[31]+x[33]+x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #17.1 : c = () |O_x_c^F| = q^12*(q^6-1)*(q^8-1)*(q^10-1) Qxc[D6,17,1] = (x[19])*q^12 + (x[21])*q^11 + (x[20]+x[23]+x[30])*q^10 + (x[21]+x[22]+x[24]+x[32])*q^9 + (x[20]+x[23]+x[26]+x[30]+x[31]+x[33])*q^8 + (x[21]+x[24]+x[27]+2*x[32])*q^7 + (x[23]+x[25]+x[26]+x[30]+x[31]+x[33]+x[34]+x[35])*q^6 + (x[24]+x[27]+2*x[32]+x[36])*q^5 + (x[26]+x[31]+x[33]+x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #18 : [5, 2, 2, 1, 1, 1] dim = 44 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+2*V[5]+3*V[4]+2*V[3]+2*V[2]+6*V[1]+6*V[0] Z_G(x)_0 = Sp2+O3+O1 # Green Polys by orbit reps #18.1 : x[20] : [5, 2, 2, 1, 1, 1],[] : [[], [3, 2, 1]] Qxi[D6,18,1] = (x[20])*q^8 + (x[21]+x[24])*q^7 + (x[23]+x[25]+x[26]+x[30]+x[31])*q^6 + (x[24]+x[27]+2*x[32])*q^5 + (x[26]+x[31]+x[33]+x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #18.1 : c = () |O_x_c^F| = q^12*(q^2+1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,18,1] = (x[20])*q^8 + (x[21]+x[24])*q^7 + (x[23]+x[25]+x[26]+x[30]+x[31])*q^6 + (x[24]+x[27]+2*x[32])*q^5 + (x[26]+x[31]+x[33]+x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #19 : [5, 3, 1, 1, 1, 1] dim = 46 A(O) = Z2 , |A(O)_0| = 2 g_s = 2*V[6]+5*V[4]+7*V[2]+6*V[0] Z_G(x)_0 = O4+2*O1 # Green Polys by orbit reps #19.1 : x[21] : [5, 3, 1, 1, 1, 1],[1] : [[1], [3, 1, 1]] Qxi[D6,19,1] = (x[21])*q^7 + (x[23]+x[26]+x[30])*q^6 + (x[24]+x[27]+2*x[32])*q^5 + (x[26]+x[31]+x[33]+x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] #19.2 : x[22] : [5, 3, 1, 1, 1, 1],[-1] : [[3], [1, 1, 1]] Qxi[D6,19,2] = (x[22])*q^7 + (x[23]+x[33])*q^6 + (x[27]+x[32])*q^5 + (x[33]+x[34])*q^4 + (x[36])*q^3 # Green Polys by conj class in A(O) #19.1 : c = () |O_x_c^F| = 1/2*q^14*(q^2+1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,19,1] = (x[21]+x[22])*q^7 + (2*x[23]+x[26]+x[30]+x[33])*q^6 + (x[24]+2*x[27]+3*x[32])*q^5 + (x[26]+x[31]+2*x[33]+2*x[34]+x[35])*q^4 + (x[28]+x[29]+x[32]+2*x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] #19.2 : c = (1) |O_x_c^F| = 1/2*q^14*(q^2-1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,19,2] = (x[21]-x[22])*q^7 + (x[26]+x[30]-x[33])*q^6 + (x[24]+x[32])*q^5 + (x[26]+x[31]+x[35])*q^4 + (x[28]+x[29]+x[32])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #20 : [5, 3, 2, 2] dim = 48 A(O) = 1 , |A(O)_0| = 1 g_s = 2*V[6]+2*V[5]+V[4]+4*V[3]+4*V[2]+2*V[1]+3*V[0] Z_G(x)_0 = Sp2+2*O1 # Green Polys by orbit reps #20.1 : x[23] : [5, 3, 2, 2],[] : [[1, 1], [3, 1]] Qxi[D6,20,1] = (x[23])*q^6 + (x[24]+x[27]+x[32])*q^5 + (x[26]+x[31]+x[33]+x[34])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #20.1 : c = () |O_x_c^F| = q^14*(q^4-1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,20,1] = (x[23])*q^6 + (x[24]+x[27]+x[32])*q^5 + (x[26]+x[31]+x[33]+x[34])*q^4 + (x[28]+x[29]+x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #21 : [5, 3, 3, 1] dim = 50 A(O) = Z2 , |A(O)_0| = 2 g_s = 3*V[6]+4*V[4]+8*V[2]+V[0] Z_G(x)_0 = O2+2*O1 # Green Polys by orbit reps #21.1 : x[24] : [5, 3, 3, 1],[1] : [[1], [3, 2]] Qxi[D6,21,1] = (x[24])*q^5 + (x[26]+x[31])*q^4 + (x[28]+x[29]+x[32])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] #21.2 : x[25] : [5, 3, 3, 1],[-1] : [[], [3, 3]] Qxi[D6,21,2] = (x[25])*q^5 # Green Polys by conj class in A(O) #21.1 : c = () |O_x_c^F| = 1/2*q^15*(q+1)*(q^4-1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,21,1] = (x[24]+x[25])*q^5 + (x[26]+x[31])*q^4 + (x[28]+x[29]+x[32])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] #21.2 : c = (1) |O_x_c^F| = 1/2*q^15*(q-1)*(q^4-1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,21,2] = (x[24]-x[25])*q^5 + (x[26]+x[31])*q^4 + (x[28]+x[29]+x[32])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #22 : [5, 5, 1, 1] dim = 52 A(O) = Z2 , |A(O)_0| = 2 g_s = V[8]+3*V[6]+5*V[4]+3*V[2]+2*V[0] Z_G(x)_0 = 2*O2 # Green Polys by orbit reps #22.1 : x[26] : [5, 5, 1, 1],[1] : [[2], [3, 1]] Qxi[D6,22,1] = (x[26])*q^4 + (x[28]+x[29]+x[32])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] #22.2 : x[27] : [5, 5, 1, 1],[-1] : [[3], [2, 1]] Qxi[D6,22,2] = (x[27])*q^4 + (x[33]+x[34])*q^3 + (x[36])*q^2 # Green Polys by conj class in A(O) #22.1 : c = () |O_x_c^F| = 1/2*q^18*(q+1)^2*(q^2+1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,22,1] = (x[26]+x[27])*q^4 + (x[28]+x[29]+x[32]+x[33]+x[34])*q^3 + (x[34]+x[35]+x[36])*q^2 + (x[36])*q + x[37] #22.2 : c = (1) |O_x_c^F| = 1/2*q^18*(q-1)^2*(q^2+1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,22,2] = (x[26]-x[27])*q^4 + (x[28]+x[29]+x[32]-x[33]-x[34])*q^3 + (x[34]+x[35]-x[36])*q^2 + (x[36])*q + x[37] orbit #23 : [6, 6] dim = 54 A(O) = 1 , |A(O)_0| = 1 g_s = 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 #23.1 : x[28] : [6, 6],[] : [[3], [3], 1] Qxi[D6,23,1] = (x[28])*q^3 + (x[34])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #23.1 : c = () |O_x_c^F| = q^20*(q^4-1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,23,1] = (x[28])*q^3 + (x[34])*q^2 + (x[36])*q + x[37] orbit #24 : [6, 6, 0] dim = 54 A(O) = 1 , |A(O)_0| = 1 g_s = 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 #24.1 : x[29] : [6, 6, 0],[] : [[3], [3], 2] Qxi[D6,24,1] = (x[29])*q^3 + (x[34])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #24.1 : c = () |O_x_c^F| = q^20*(q^4-1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,24,1] = (x[29])*q^3 + (x[34])*q^2 + (x[36])*q + x[37] orbit #25 : [7, 1, 1, 1, 1, 1] dim = 48 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+6*V[6]+V[2]+10*V[0] Z_G(x)_0 = O5+O1 # Green Polys by orbit reps #25.1 : x[30] : [7, 1, 1, 1, 1, 1],[] : [[], [4, 1, 1]] Qxi[D6,25,1] = (x[30])*q^6 + (x[32])*q^5 + (x[31]+x[33]+x[35])*q^4 + (x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #25.1 : c = () |O_x_c^F| = q^18*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,25,1] = (x[30])*q^6 + (x[32])*q^5 + (x[31]+x[33]+x[35])*q^4 + (x[32]+x[36])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #26 : [7, 2, 2, 1] dim = 52 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+2*V[7]+2*V[6]+2*V[5]+2*V[2]+2*V[1]+3*V[0] Z_G(x)_0 = Sp2+2*O1 # Green Polys by orbit reps #26.1 : x[31] : [7, 2, 2, 1],[] : [[], [4, 2]] Qxi[D6,26,1] = (x[31])*q^4 + (x[32])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #26.1 : c = () |O_x_c^F| = q^18*(q^4-1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,26,1] = (x[31])*q^4 + (x[32])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] orbit #27 : [7, 3, 1, 1] dim = 54 A(O) = Z2 , |A(O)_0| = 2 g_s = V[10]+V[8]+4*V[6]+V[4]+4*V[2]+V[0] Z_G(x)_0 = O2+2*O1 # Green Polys by orbit reps #27.1 : x[32] : [7, 3, 1, 1],[1] : [[1], [4, 1]] Qxi[D6,27,1] = (x[32])*q^3 + (x[34]+x[35])*q^2 + (x[36])*q + x[37] #27.2 : x[33] : [7, 3, 1, 1],[-1] : [[1, 1], [4]] Qxi[D6,27,2] = (x[33])*q^3 + (x[36])*q^2 # Green Polys by conj class in A(O) #27.1 : c = () |O_x_c^F| = 1/2*q^19*(q+1)*(q^4-1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,27,1] = (x[32]+x[33])*q^3 + (x[34]+x[35]+x[36])*q^2 + (x[36])*q + x[37] #27.2 : c = (1) |O_x_c^F| = 1/2*q^19*(q-1)*(q^4-1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,27,2] = (x[32]-x[33])*q^3 + (x[34]+x[35]-x[36])*q^2 + (x[36])*q + x[37] orbit #28 : [7, 5] dim = 56 A(O) = 1 , |A(O)_0| = 1 g_s = 2*V[10]+V[8]+3*V[6]+V[4]+3*V[2] Z_G(x)_0 = 2*O1 # Green Polys by orbit reps #28.1 : x[34] : [7, 5],[] : [[2], [4]] Qxi[D6,28,1] = (x[34])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #28.1 : c = () |O_x_c^F| = q^20*(q^2-1)*(q^4-1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,28,1] = (x[34])*q^2 + (x[36])*q + x[37] orbit #29 : [9, 1, 1, 1] dim = 56 A(O) = 1 , |A(O)_0| = 1 g_s = V[14]+V[10]+3*V[8]+V[6]+V[2]+3*V[0] Z_G(x)_0 = O3+O1 # Green Polys by orbit reps #29.1 : x[35] : [9, 1, 1, 1],[] : [[], [5, 1]] Qxi[D6,29,1] = (x[35])*q^2 + (x[36])*q + x[37] # Green Polys by conj class in A(O) #29.1 : c = () |O_x_c^F| = q^22*(q^4-1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,29,1] = (x[35])*q^2 + (x[36])*q + x[37] orbit #30 : [9, 3] dim = 58 A(O) = 1 , |A(O)_0| = 1 g_s = V[14]+2*V[10]+V[8]+2*V[6]+2*V[2] Z_G(x)_0 = 2*O1 # Green Polys by orbit reps #30.1 : x[36] : [9, 3],[] : [[1], [5]] Qxi[D6,30,1] = (x[36])*q + x[37] # Green Polys by conj class in A(O) #30.1 : c = () |O_x_c^F| = q^22*(q^2-1)*(q^4-1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,30,1] = (x[36])*q + x[37] orbit #31 : [11, 1] dim = 60 A(O) = 1 , |A(O)_0| = 1 g_s = V[18]+V[14]+2*V[10]+V[6]+V[2] Z_G(x)_0 = 2*O1 # Green Polys by orbit reps #31.1 : x[37] : [11, 1],[] : [[], [6]] Qxi[D6,31,1] = x[37] # Green Polys by conj class in A(O) #31.1 : c = () |O_x_c^F| = q^24*(q^2-1)*(q^4-1)*(q^6-1)^2*(q^8-1)*(q^10-1) Qxc[D6,31,1] = x[37]