#### Green Polynomials for D5 #### W-rep key: # x[1] = [[], [1, 1, 1, 1, 1]] , orbit = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[2] = [[1], [1, 1, 1, 1]] , orbit = [2, 2, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[3] = [[1, 1], [1, 1, 1]] , orbit = [2, 2, 2, 2, 1, 1] , A-rep = [] # x[4] = [[], [2, 1, 1, 1]] , orbit = [3, 1, 1, 1, 1, 1, 1, 1] , A-rep = [] # x[5] = [[], [2, 2, 1]] , orbit = [3, 2, 2, 1, 1, 1] , A-rep = [] # x[6] = [[1], [2, 1, 1]] , orbit = [3, 3, 1, 1, 1, 1] , A-rep = [1] # x[7] = [[2], [1, 1, 1]] , orbit = [3, 3, 1, 1, 1, 1] , A-rep = [-1] # x[8] = [[1, 1], [2, 1]] , orbit = [3, 3, 2, 2] , A-rep = [] # x[9] = [[1], [2, 2]] , orbit = [3, 3, 3, 1] , A-rep = [] # x[10] = [[2], [2, 1]] , orbit = [4, 4, 1, 1] , A-rep = [] # x[11] = [[], [3, 1, 1]] , orbit = [5, 1, 1, 1, 1, 1] , A-rep = [] # x[12] = [[], [3, 2]] , orbit = [5, 2, 2, 1] , A-rep = [] # x[13] = [[1], [3, 1]] , orbit = [5, 3, 1, 1] , A-rep = [1] # x[14] = [[1, 1], [3]] , orbit = [5, 3, 1, 1] , A-rep = [-1] # x[15] = [[2], [3]] , orbit = [5, 5] , A-rep = [] # x[16] = [[], [4, 1]] , orbit = [7, 1, 1, 1] , A-rep = [] # x[17] = [[1], [4]] , orbit = [7, 3] , A-rep = [] # x[18] = [[], [5]] , orbit = [9, 1] , A-rep = [] ### Green Polynomials by Orbit orbit #1 : [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] dim = 0 A(O) = 1 , |A(O)_0| = 1 g_s = 45*V[0] Z_G(x)_0 = D5 # Green Polys by orbit reps #1.1 : x[1] : [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],[] : [[], [5]] Qxi[D5,1,1] = (x[1])*q^20 + (x[2])*q^19 + (x[3]+x[4])*q^18 + (x[2]+x[3]+x[6])*q^17 + (x[2]+x[3]+x[4]+x[5]+x[7]+x[8])*q^16 + (x[2]+x[3]+2*x[6]+x[7]+x[8]+x[9])*q^15 + (2*x[3]+x[4]+x[5]+x[6]+x[7]+2*x[8]+x[10]+x[11])*q^14 + (x[2]+x[3]+3*x[6]+x[7]+2*x[8]+x[9]+x[10]+x[13])*q^13 + (x[3]+x[4]+x[5]+x[6]+2*x[7]+3*x[8]+x[9]+2*x[10]+x[11]+x[12]+x[14])*q^12 + (x[3]+3*x[6]+x[7]+2*x[8]+2*x[9]+2*x[10]+2*x[13]+x[14])*q^11 + (x[3]+x[5]+x[6]+x[7]+3*x[8]+3*x[10]+2*x[11]+x[12]+x[13]+x[14]+x[15])*q^10 + (2*x[6]+x[7]+2*x[8]+2*x[9]+2*x[10]+3*x[13]+x[14]+x[15])*q^9 + (x[5]+x[7]+2*x[8]+x[9]+3*x[10]+x[11]+x[12]+x[13]+2*x[14]+x[15]+x[16])*q^8 + (x[6]+x[8]+x[9]+2*x[10]+3*x[13]+x[14]+x[15]+x[17])*q^7 + (x[8]+2*x[10]+x[11]+x[12]+x[13]+x[14]+2*x[15]+x[16])*q^6 + (x[9]+x[10]+2*x[13]+x[14]+x[15]+x[17])*q^5 + (x[10]+x[12]+x[14]+x[15]+x[16]+x[17])*q^4 + (x[13]+x[15]+x[17])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] # Green Polys by conj class in A(O) #1.1 : c = () |O_x_c^F| = 1 Qxc[D5,1,1] = (x[1])*q^20 + (x[2])*q^19 + (x[3]+x[4])*q^18 + (x[2]+x[3]+x[6])*q^17 + (x[2]+x[3]+x[4]+x[5]+x[7]+x[8])*q^16 + (x[2]+x[3]+2*x[6]+x[7]+x[8]+x[9])*q^15 + (2*x[3]+x[4]+x[5]+x[6]+x[7]+2*x[8]+x[10]+x[11])*q^14 + (x[2]+x[3]+3*x[6]+x[7]+2*x[8]+x[9]+x[10]+x[13])*q^13 + (x[3]+x[4]+x[5]+x[6]+2*x[7]+3*x[8]+x[9]+2*x[10]+x[11]+x[12]+x[14])*q^12 + (x[3]+3*x[6]+x[7]+2*x[8]+2*x[9]+2*x[10]+2*x[13]+x[14])*q^11 + (x[3]+x[5]+x[6]+x[7]+3*x[8]+3*x[10]+2*x[11]+x[12]+x[13]+x[14]+x[15])*q^10 + (2*x[6]+x[7]+2*x[8]+2*x[9]+2*x[10]+3*x[13]+x[14]+x[15])*q^9 + (x[5]+x[7]+2*x[8]+x[9]+3*x[10]+x[11]+x[12]+x[13]+2*x[14]+x[15]+x[16])*q^8 + (x[6]+x[8]+x[9]+2*x[10]+3*x[13]+x[14]+x[15]+x[17])*q^7 + (x[8]+2*x[10]+x[11]+x[12]+x[13]+x[14]+2*x[15]+x[16])*q^6 + (x[9]+x[10]+2*x[13]+x[14]+x[15]+x[17])*q^5 + (x[10]+x[12]+x[14]+x[15]+x[16]+x[17])*q^4 + (x[13]+x[15]+x[17])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] orbit #2 : [2, 2, 1, 1, 1, 1, 1, 1] dim = 14 A(O) = 1 , |A(O)_0| = 1 g_s = 12*V[1]+V[2]+18*V[0] Z_G(x)_0 = Sp2+O6 # Green Polys by orbit reps #2.1 : x[2] : [2, 2, 1, 1, 1, 1, 1, 1],[] : [[1], [1, 1, 1, 1]] Qxi[D5,2,1] = (x[2])*q^13 + (x[3]+x[4]+x[7])*q^12 + (x[3]+2*x[6]+x[8])*q^11 + (x[3]+x[5]+x[6]+x[7]+2*x[8]+x[10]+x[11])*q^10 + (2*x[6]+x[7]+2*x[8]+2*x[9]+x[10]+x[13]+x[14])*q^9 + (x[5]+x[7]+2*x[8]+x[9]+3*x[10]+x[11]+x[12]+x[13]+x[14])*q^8 + (x[6]+x[8]+x[9]+2*x[10]+3*x[13]+x[14]+x[15])*q^7 + (x[8]+2*x[10]+x[11]+x[12]+x[13]+x[14]+2*x[15]+x[16])*q^6 + (x[9]+x[10]+2*x[13]+x[14]+x[15]+x[17])*q^5 + (x[10]+x[12]+x[14]+x[15]+x[16]+x[17])*q^4 + (x[13]+x[15]+x[17])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] # Green Polys by conj class in A(O) #2.1 : c = () |O_x_c^F| = (q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^8-1) Qxc[D5,2,1] = (x[2])*q^13 + (x[3]+x[4]+x[7])*q^12 + (x[3]+2*x[6]+x[8])*q^11 + (x[3]+x[5]+x[6]+x[7]+2*x[8]+x[10]+x[11])*q^10 + (2*x[6]+x[7]+2*x[8]+2*x[9]+x[10]+x[13]+x[14])*q^9 + (x[5]+x[7]+2*x[8]+x[9]+3*x[10]+x[11]+x[12]+x[13]+x[14])*q^8 + (x[6]+x[8]+x[9]+2*x[10]+3*x[13]+x[14]+x[15])*q^7 + (x[8]+2*x[10]+x[11]+x[12]+x[13]+x[14]+2*x[15]+x[16])*q^6 + (x[9]+x[10]+2*x[13]+x[14]+x[15]+x[17])*q^5 + (x[10]+x[12]+x[14]+x[15]+x[16]+x[17])*q^4 + (x[13]+x[15]+x[17])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] orbit #3 : [2, 2, 2, 2, 1, 1] dim = 20 A(O) = 1 , |A(O)_0| = 1 g_s = 6*V[2]+8*V[1]+11*V[0] Z_G(x)_0 = Sp4+O2 # Green Polys by orbit reps #3.1 : x[3] : [2, 2, 2, 2, 1, 1],[] : [[1, 1], [1, 1, 1]] Qxi[D5,3,1] = (x[3])*q^10 + (x[6]+x[8])*q^9 + (x[5]+x[7]+x[8]+x[9]+x[10])*q^8 + (x[6]+x[8]+x[9]+x[10]+x[13]+x[14])*q^7 + (x[8]+2*x[10]+x[11]+x[12]+x[13]+x[15])*q^6 + (x[9]+x[10]+2*x[13]+x[14]+x[15])*q^5 + (x[10]+x[12]+x[14]+x[15]+x[16]+x[17])*q^4 + (x[13]+x[15]+x[17])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] # Green Polys by conj class in A(O) #3.1 : c = () |O_x_c^F| = q^2*(q^4+q^3+q^2+q+1)*(q^6-1)*(q^8-1) Qxc[D5,3,1] = (x[3])*q^10 + (x[6]+x[8])*q^9 + (x[5]+x[7]+x[8]+x[9]+x[10])*q^8 + (x[6]+x[8]+x[9]+x[10]+x[13]+x[14])*q^7 + (x[8]+2*x[10]+x[11]+x[12]+x[13]+x[15])*q^6 + (x[9]+x[10]+2*x[13]+x[14]+x[15])*q^5 + (x[10]+x[12]+x[14]+x[15]+x[16]+x[17])*q^4 + (x[13]+x[15]+x[17])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] orbit #4 : [3, 1, 1, 1, 1, 1, 1, 1] dim = 16 A(O) = 1 , |A(O)_0| = 1 g_s = 8*V[2]+21*V[0] Z_G(x)_0 = O7+O1 # Green Polys by orbit reps #4.1 : x[4] : [3, 1, 1, 1, 1, 1, 1, 1],[] : [[], [2, 1, 1, 1]] Qxi[D5,4,1] = (x[4])*q^12 + (x[6])*q^11 + (x[5]+x[8]+x[11])*q^10 + (x[6]+x[7]+x[9]+x[13])*q^9 + (x[5]+x[8]+x[10]+x[11]+x[12]+x[14])*q^8 + (x[6]+x[9]+x[10]+2*x[13])*q^7 + (x[8]+x[10]+x[11]+x[12]+x[14]+x[15]+x[16])*q^6 + (x[9]+x[10]+2*x[13]+x[17])*q^5 + (x[10]+x[12]+x[14]+x[15]+x[16])*q^4 + (x[13]+x[15]+x[17])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] # Green Polys by conj class in A(O) #4.1 : c = () |O_x_c^F| = q^3*(q^5-1)*(q^8-1) Qxc[D5,4,1] = (x[4])*q^12 + (x[6])*q^11 + (x[5]+x[8]+x[11])*q^10 + (x[6]+x[7]+x[9]+x[13])*q^9 + (x[5]+x[8]+x[10]+x[11]+x[12]+x[14])*q^8 + (x[6]+x[9]+x[10]+2*x[13])*q^7 + (x[8]+x[10]+x[11]+x[12]+x[14]+x[15]+x[16])*q^6 + (x[9]+x[10]+2*x[13]+x[17])*q^5 + (x[10]+x[12]+x[14]+x[15]+x[16])*q^4 + (x[13]+x[15]+x[17])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] orbit #5 : [3, 2, 2, 1, 1, 1] dim = 24 A(O) = 1 , |A(O)_0| = 1 g_s = 2*V[3]+5*V[2]+8*V[1]+6*V[0] Z_G(x)_0 = Sp2+O3+O1 # Green Polys by orbit reps #5.1 : x[5] : [3, 2, 2, 1, 1, 1],[] : [[], [2, 2, 1]] Qxi[D5,5,1] = (x[5])*q^8 + (x[6]+x[9])*q^7 + (x[8]+x[10]+x[11]+x[12])*q^6 + (x[9]+x[10]+2*x[13])*q^5 + (x[10]+x[12]+x[14]+x[15]+x[16])*q^4 + (x[13]+x[15]+x[17])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] # Green Polys by conj class in A(O) #5.1 : c = () |O_x_c^F| = q^3*(q^2+1)*(q^5-1)*(q^6-1)*(q^8-1) Qxc[D5,5,1] = (x[5])*q^8 + (x[6]+x[9])*q^7 + (x[8]+x[10]+x[11]+x[12])*q^6 + (x[9]+x[10]+2*x[13])*q^5 + (x[10]+x[12]+x[14]+x[15]+x[16])*q^4 + (x[13]+x[15]+x[17])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] orbit #6 : [3, 3, 1, 1, 1, 1] dim = 26 A(O) = Z2 , |A(O)_0| = 2 g_s = V[4]+11*V[2]+7*V[0] Z_G(x)_0 = O4+O2 # Green Polys by orbit reps #6.1 : x[6] : [3, 3, 1, 1, 1, 1],[1] : [[1], [2, 1, 1]] Qxi[D5,6,1] = (x[6])*q^7 + (x[8]+x[10]+x[11])*q^6 + (x[9]+x[10]+2*x[13])*q^5 + (x[10]+x[12]+x[14]+x[15]+x[16])*q^4 + (x[13]+x[15]+x[17])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] #6.2 : x[7] : [3, 3, 1, 1, 1, 1],[-1] : [[2], [1, 1, 1]] Qxi[D5,6,2] = (x[7])*q^7 + (x[8]+x[14])*q^6 + (x[10]+x[13])*q^5 + (x[14]+x[15])*q^4 + (x[17])*q^3 # Green Polys by conj class in A(O) #6.1 : c = () |O_x_c^F| = 1/2*q^6*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^6-1)*(q^8-1) Qxc[D5,6,1] = (x[6]+x[7])*q^7 + (2*x[8]+x[10]+x[11]+x[14])*q^6 + (x[9]+2*x[10]+3*x[13])*q^5 + (x[10]+x[12]+2*x[14]+2*x[15]+x[16])*q^4 + (x[13]+x[15]+2*x[17])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] #6.2 : c = (1) |O_x_c^F| = 1/2*q^6*(q-1)*(q^5-1)*(q^6-1)*(q^8-1) Qxc[D5,6,2] = (x[6]-x[7])*q^7 + (x[10]+x[11]-x[14])*q^6 + (x[9]+x[13])*q^5 + (x[10]+x[12]+x[16])*q^4 + (x[13]+x[15])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] orbit #7 : [3, 3, 2, 2] dim = 28 A(O) = 1 , |A(O)_0| = 1 g_s = 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 #7.1 : x[8] : [3, 3, 2, 2],[] : [[1, 1], [2, 1]] Qxi[D5,7,1] = (x[8])*q^6 + (x[9]+x[10]+x[13])*q^5 + (x[10]+x[12]+x[14]+x[15])*q^4 + (x[13]+x[15]+x[17])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] # Green Polys by conj class in A(O) #7.1 : c = () |O_x_c^F| = q^6*(q+1)*(q^2+1)*(q^5-1)*(q^6-1)*(q^8-1) Qxc[D5,7,1] = (x[8])*q^6 + (x[9]+x[10]+x[13])*q^5 + (x[10]+x[12]+x[14]+x[15])*q^4 + (x[13]+x[15]+x[17])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] orbit #8 : [3, 3, 3, 1] dim = 30 A(O) = 1 , |A(O)_0| = 1 g_s = 3*V[4]+9*V[2]+3*V[0] Z_G(x)_0 = O3+O1 # Green Polys by orbit reps #8.1 : x[9] : [3, 3, 3, 1],[] : [[1], [2, 2]] Qxi[D5,8,1] = (x[9])*q^5 + (x[10]+x[12])*q^4 + (x[13]+x[15])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] # Green Polys by conj class in A(O) #8.1 : c = () |O_x_c^F| = q^7*(q^4-1)*(q^5-1)*(q^6-1)*(q^8-1) Qxc[D5,8,1] = (x[9])*q^5 + (x[10]+x[12])*q^4 + (x[13]+x[15])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] orbit #9 : [4, 4, 1, 1] dim = 32 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+3*V[4]+4*V[3]+V[2]+4*V[0] Z_G(x)_0 = Sp2+O2 # Green Polys by orbit reps #9.1 : x[10] : [4, 4, 1, 1],[] : [[2], [2, 1]] Qxi[D5,9,1] = (x[10])*q^4 + (x[13]+x[14]+x[15])*q^3 + (x[15]+x[16]+x[17])*q^2 + (x[17])*q + x[18] # Green Polys by conj class in A(O) #9.1 : c = () |O_x_c^F| = q^10*(q+1)*(q^2+1)*(q^5-1)*(q^6-1)*(q^8-1) Qxc[D5,9,1] = (x[10])*q^4 + (x[13]+x[14]+x[15])*q^3 + (x[15]+x[16]+x[17])*q^2 + (x[17])*q + x[18] orbit #10 : [5, 1, 1, 1, 1, 1] dim = 28 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+5*V[4]+V[2]+10*V[0] Z_G(x)_0 = O5+O1 # Green Polys by orbit reps #10.1 : x[11] : [5, 1, 1, 1, 1, 1],[] : [[], [3, 1, 1]] Qxi[D5,10,1] = (x[11])*q^6 + (x[13])*q^5 + (x[12]+x[14]+x[16])*q^4 + (x[13]+x[17])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] # Green Polys by conj class in A(O) #10.1 : c = () |O_x_c^F| = q^9*(q^5-1)*(q^6-1)*(q^8-1) Qxc[D5,10,1] = (x[11])*q^6 + (x[13])*q^5 + (x[12]+x[14]+x[16])*q^4 + (x[13]+x[17])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] orbit #11 : [5, 2, 2, 1] dim = 32 A(O) = 1 , |A(O)_0| = 1 g_s = V[6]+2*V[5]+V[4]+2*V[3]+2*V[2]+2*V[1]+3*V[0] Z_G(x)_0 = Sp2+2*O1 # Green Polys by orbit reps #11.1 : x[12] : [5, 2, 2, 1],[] : [[], [3, 2]] Qxi[D5,11,1] = (x[12])*q^4 + (x[13])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] # Green Polys by conj class in A(O) #11.1 : c = () |O_x_c^F| = q^9*(q^4-1)*(q^5-1)*(q^6-1)*(q^8-1) Qxc[D5,11,1] = (x[12])*q^4 + (x[13])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] orbit #12 : [5, 3, 1, 1] dim = 34 A(O) = Z2 , |A(O)_0| = 2 g_s = 2*V[6]+3*V[4]+5*V[2]+V[0] Z_G(x)_0 = O2+2*O1 # Green Polys by orbit reps #12.1 : x[13] : [5, 3, 1, 1],[1] : [[1], [3, 1]] Qxi[D5,12,1] = (x[13])*q^3 + (x[15]+x[16])*q^2 + (x[17])*q + x[18] #12.2 : x[14] : [5, 3, 1, 1],[-1] : [[1, 1], [3]] Qxi[D5,12,2] = (x[14])*q^3 + (x[17])*q^2 # Green Polys by conj class in A(O) #12.1 : c = () |O_x_c^F| = 1/2*q^10*(q+1)*(q^4-1)*(q^5-1)*(q^6-1)*(q^8-1) Qxc[D5,12,1] = (x[13]+x[14])*q^3 + (x[15]+x[16]+x[17])*q^2 + (x[17])*q + x[18] #12.2 : c = (1) |O_x_c^F| = 1/2*q^10*(q-1)*(q^4-1)*(q^5-1)*(q^6-1)*(q^8-1) Qxc[D5,12,2] = (x[13]-x[14])*q^3 + (x[15]+x[16]-x[17])*q^2 + (x[17])*q + x[18] orbit #13 : [5, 5] dim = 36 A(O) = 1 , |A(O)_0| = 1 g_s = V[8]+3*V[6]+V[4]+3*V[2]+V[0] Z_G(x)_0 = O2 # Green Polys by orbit reps #13.1 : x[15] : [5, 5],[] : [[2], [3]] Qxi[D5,13,1] = (x[15])*q^2 + (x[17])*q + x[18] # Green Polys by conj class in A(O) #13.1 : c = () |O_x_c^F| = q^12*(q+1)*(q^4-1)*(q^5-1)*(q^6-1)*(q^8-1) Qxc[D5,13,1] = (x[15])*q^2 + (x[17])*q + x[18] orbit #14 : [7, 1, 1, 1] dim = 36 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+4*V[6]+V[2]+3*V[0] Z_G(x)_0 = O3+O1 # Green Polys by orbit reps #14.1 : x[16] : [7, 1, 1, 1],[] : [[], [4, 1]] Qxi[D5,14,1] = (x[16])*q^2 + (x[17])*q + x[18] # Green Polys by conj class in A(O) #14.1 : c = () |O_x_c^F| = q^13*(q^4-1)*(q^5-1)*(q^6-1)*(q^8-1) Qxc[D5,14,1] = (x[16])*q^2 + (x[17])*q + x[18] orbit #15 : [7, 3] dim = 38 A(O) = 1 , |A(O)_0| = 1 g_s = V[10]+V[8]+2*V[6]+V[4]+2*V[2] Z_G(x)_0 = 2*O1 # Green Polys by orbit reps #15.1 : x[17] : [7, 3],[] : [[1], [4]] Qxi[D5,15,1] = (x[17])*q + x[18] # Green Polys by conj class in A(O) #15.1 : c = () |O_x_c^F| = q^13*(q^2-1)*(q^4-1)*(q^5-1)*(q^6-1)*(q^8-1) Qxc[D5,15,1] = (x[17])*q + x[18] orbit #16 : [9, 1] dim = 40 A(O) = 1 , |A(O)_0| = 1 g_s = V[14]+V[10]+V[8]+V[6]+V[2] Z_G(x)_0 = 2*O1 # Green Polys by orbit reps #16.1 : x[18] : [9, 1],[] : [[], [5]] Qxi[D5,16,1] = x[18] # Green Polys by conj class in A(O) #16.1 : c = () |O_x_c^F| = q^15*(q^2-1)*(q^4-1)*(q^5-1)*(q^6-1)*(q^8-1) Qxc[D5,16,1] = x[18]