# Matrix A is the coefficient matrix that is # computed at the end of this program. # One can check that A[i][j]=A[j][i]. R. = QQ[] A = [[0 for x in range(97)] for y in range(97)] # The two-dimensional table L2 keeps the coefficients of the products # b_{13}b_i, # where b_{13}=t, b_i are elements of the basis, and 1 <= i <= #|B|, # where B is the basis. Here, #|B|=96. # If b_{13}b_i = l_{i,1}b_1 + l_{i,2}b_2 + ... + l_{i,96}b_{96} # then L2[i][j] = l_{i,j}. L2 = [[0 for x in range(97)] for y in range(97)] # The two-dimension table L3 is similar to L2 but for the products b_2b_i, #where b_2=u. L3 = [[0 for x in range(97)] for y in range(97)] # Now, the two-dimensional table LL1 keeps the coefficients # of the products b_3b_i, # where b_3=s, b_i are elements of the basis, and 1 <= i <= 96. # NOW we extend the basis to include the elements # b_{97},b_{98},b_{99},b_{100} # |B’|=100 # If b_3b_i = n_{i,1}b_1 + n_{i,2}b_2 + ... + n_{i,100}b_{100} # then LL1[i][j] = n_{i,j}. LL1 = [[0 for x in range(101)] for y in range(97)] LL1[1][3] = 1 LL1[2][5] = 1 LL1[3][1] = b LL1[3][3] = a LL1[4][10] = 1 LL1[5][2] = b LL1[5][5] = a LL1[6][25] = d^-3*c*a*b^-1 + 3*d^-4*c^3*a*b^-1 + c^5*d^-5*a*b^-1 LL1[6][26] = - d^-3*a*b^-1 - 2*d^-4*c^2*a*b^-1 - c^4*d^-5*a*b^-1 LL1[6][27] = - 2*d^-4*c^3*b^-1 - c^5*d^-5*b^-1 LL1[6][28] = 2*d^-4*c^2*b^-1 + c^4*d^-5*b^-1 LL1[6][29] = c^2*d^-4*b^-1 + c^4*d^-5*b^-1 LL1[6][30] = d^-4*c^2*b^-1 LL1[6][31] = c*d^-4*a*b^-1 + c^3*d^-5*a*b^-1 LL1[6][32] = - c*d^-4*b^-1 - c^3*d^-5*b^-1 LL1[6][36] = - d^-4*b^-1*c LL1[6][37] = - 2*d^-4*c^2*a*b^-1 - c^4*d^-5*a*b^-1 LL1[6][38] = d^-4*a*b^-1*c + c^3*d^-5*a*b^-1 LL1[6][39] = d^-4*c^2*b^-1 + c^4*d^-5*b^-1 LL1[6][40] = - d^-4*c*b^-1 - c^3*d^-5*b^-1 LL1[6][41] = - c^3*d^-5*b^-1 LL1[6][42] = - d^-4*c*b^-1 LL1[6][43] = - c^2*d^-5*a*b^-1 LL1[6][44] = c^2*d^-5*b^-1 LL1[6][48] = d^-4*b^-1 LL1[7][11] = 1 LL1[8][25] = - 2*d^-3*c^2*a*b^-1 - c^4*d^-4*a*b^-1 LL1[8][26] = d^-3*c*a*b^-1 + d^-4*c^3*a*b^-1 LL1[8][27] = 2*d^-3*c^2*b^-1 + c^4*d^-4*b^-1 LL1[8][28] = - d^-3*c*b^-1 - c^3*d^-4*b^-1 LL1[8][30] = - d^-3*c*b^-1 - d^-4*c^3*b^-1 LL1[8][31] = - c^2*d^-4*a*b^-1 LL1[8][33] = d^-3*a^2*b^-2 LL1[8][35] = d^-3*a^2*b^-2 + 2*d^-4*c^2*b^-1 LL1[8][36] = d^-4*c^2*b^-1 LL1[8][37] = d^-3*c*a*b^-1 + c^3*d^-4*a*b^-1 LL1[8][38] = - d^-4*c^2*a*b^-1 LL1[8][43] = c*d^-4*a*b^-1 LL1[8][45] = d^-4*a^2*b^-2*c + d^-5*c^3*b^-1 LL1[8][47] = - d^-4*c*b^-1 LL1[8][49] = 2*d^-6*a^2*b^-3*c^2 - d^-6*a^4*b^-4*c^2 + d^-7*c^4*a^2*b^-3 + c^2*d^-6*b^-2 LL1[8][50] = d^-6*a^4*b^-4*c - d^-7*c^3*a^2*b^-3 LL1[8][51] = d^-6*a^3*b^-4*c^2 - d^-6*c^2*a*b^-3 - d^-7*c^4*a*b^-3 LL1[8][52] = - d^-6*a^3*b^-4*c + d^-7*c^3*a*b^-3 LL1[8][53] = - d^-6*a^3*b^-4*c + d^-7*c^3*a*b^-3 LL1[8][54] = d^-6*a*b^-3*c LL1[8][55] = - d^-6*a^4*b^-4 + d^-7*c^2*a^2*b^-3 LL1[8][56] = d^-6*a^3*b^-4 - d^-7*c^2*a*b^-3 LL1[8][61] = - d^-7*a^2*b^-3*c^3 + d^-6*a^4*b^-4*c LL1[8][62] = 2*d^-7*a^2*b^-3*c^2 LL1[8][63] = d^-6*a*b^-3*c + 2*d^-7*a*b^-3*c^3 LL1[8][64] = - 2*d^-7*a*b^-3*c^2 LL1[8][65] = - 2*d^-7*a*b^-3*c^2 LL1[8][66] = - d^-7*a*b^-3*c^2 LL1[8][67] = - 2*d^-7*a^2*b^-3*c LL1[8][68] = 2*d^-7*a*b^-3*c LL1[8][69] = c*d^-7*b^-3*a LL1[8][73] = - 2*d^-9*a^3*b^-5*c^2 - d^-10*a^3*b^-5*c^4 - 3*d^-9*a*b^-4*c^2 - 4*d^-10*c^4*a*b^-4 - c^6*d^-11*b^-4*a LL1[8][74] = d^-9*a^3*b^-5*c + d^-10*a^3*b^-5*c^3 + d^-9*a*b^-4*c + 3*d^-10*c^3*a*b^-4 + c^5*d^-11*b^-4*a LL1[8][75] = d^-9*a^2*b^-5*c^2 + d^-10*a^2*b^-5*c^4 + 2*c^4*d^-10*b^-4 + c^6*d^-11*b^-4 + c^2*d^-9*b^-4 LL1[8][76] = - d^-10*a^2*b^-5*c^3 - d^-9*a^2*b^-5*c - c^5*d^-11*b^-4 - c^3*d^-10*b^-4 LL1[8][77] = - d^-9*a^2*b^-5*c - d^-10*a^2*b^-5*c^3 - c^3*d^-10*b^-4 - c^5*d^-11*b^-4 LL1[8][78] = - c^3*d^-10*b^-4 LL1[8][79] = - d^-10*a^3*b^-5*c^2 - d^-9*a^3*b^-5 - d^-9*a*b^-4 - 2*d^-10*c^2*a*b^-4 - c^4*d^-11*b^-4*a LL1[8][80] = d^-10*a^2*b^-5*c^2 + d^-9*a^2*b^-5 + c^4*d^-11*b^-4 LL1[8][83] = c^2*d^-10*b^-4 LL1[8][84] = c^2*d^-10*b^-4 LL1[8][85] = d^-10*a^3*b^-5*c^3 + d^-9*a^3*b^-5*c + 3*d^-10*a*b^-4*c^3 + d^-9*a*b^-4*c + c^5*d^-11*b^-4*a LL1[8][86] = - d^-10*a^3*b^-5*c^2 - 3*d^-10*a*b^-4*c^2 - c^4*d^-11*b^-4*a LL1[8][87] = - d^-10*a^2*b^-5*c^3 - c^3*d^-10*b^-4 - c^5*d^-11*b^-4 LL1[8][88] = d^-10*a^2*b^-5*c^2 + c^4*d^-11*b^-4 LL1[8][89] = d^-10*a^2*b^-5*c^2 + c^2*d^-10*b^-4 + c^4*d^-11*b^-4 LL1[8][91] = d^-10*a^3*b^-5*c + 2*d^-10*a*b^-4*c + c^3*d^-11*b^-4*a LL1[8][92] = - d^-10*a^2*b^-5*c - c^3*d^-11*b^-4 LL1[8][95] = - c*d^-10*b^-4 LL1[8][99] = d^-4*b^-1 LL1[9][25] = - 2*d^-3*a*b^-1*c^2 - c^4*d^-4*a*b^-1 LL1[9][26] = c*d^-3*a*b^-1 + c^3*d^-4*a*b^-1 LL1[9][27] = c^2*d^-3*b^-1 + c^4*d^-4*b^-1 LL1[9][28] = - d^-3*b^-1*c - d^-4*b^-1*c^3 LL1[9][29] = - c*d^-3*b^-1 - c^3*d^-4*b^-1 LL1[9][31] = - d^-3*a*b^-1 - d^-4*a*b^-1*c^2 LL1[9][32] = d^-3*b^-1 + d^-4*b^-1*c^2 LL1[9][37] = d^-4*a*b^-1*c^3 + d^-3*a*b^-1*c LL1[9][38] = - c^2*d^-4*a*b^-1 LL1[9][39] = - c^3*d^-4*b^-1 LL1[9][40] = d^-4*b^-1*c^2 LL1[9][41] = c^2*d^-4*b^-1 LL1[9][43] = d^-4*a*b^-1*c LL1[9][44] = - d^-4*b^-1*c LL1[10][4] = b LL1[10][10] = a LL1[11][7] = b LL1[11][11] = a LL1[12][7] = b*c^2*d^-1 LL1[12][9] = a*d^-1*c^2 LL1[12][10] = c LL1[12][12] = a LL1[12][19] = - b*c*d^-1 LL1[12][25] = - c^2*d^-3*a*b^-1 - a^3*d^-3*b^-2*c^2 LL1[12][26] = - c*d^-3*a*b^-1 + a^3*d^-3*b^-2*c LL1[12][27] = a^2*d^-3*b^-2*c^2 LL1[12][28] = c^3*d^-4*b^-1 LL1[12][29] = - c^3*d^-4*b^-1 - a^2*d^-3*b^-2*c LL1[12][30] = - a^2*c*d^-3*b^-2 LL1[12][33] = c^2*d^-4*b^-1 LL1[12][36] = - c^2*d^-4*b^-1 LL1[12][37] = 2*c*d^-3*a*b^-1 + a^3*d^-3*b^-2*c LL1[12][38] = - a^3*d^-3*b^-2 LL1[12][39] = - a^2*d^-3*b^-2*c LL1[12][40] = - c^2*d^-4*b^-1 LL1[12][41] = c^2*d^-4*b^-1 + a^2*d^-3*b^-2 LL1[12][42] = a^2*d^-3*b^-2 LL1[12][48] = c*d^-4*b^-1 LL1[12][49] = c^2*d^-6*b^-2 + 5*c^2*d^-6*b^-3*a^2 + c^4*d^-7*b^-2 + 5*c^4*d^-7*b^-3*a^2 + a^2*d^-8*b^-3*c^6 LL1[12][50] = - 3*a^2*d^-7*b^-3*c^3 - a^2*d^-8*b^-3*c^5 - 2*a^2*d^-6*b^-3*c LL1[12][51] = - 3*c^2*d^-6*b^-3*a - 4*c^4*d^-7*b^-3*a - a*d^-8*b^-3*c^6 LL1[12][52] = 2*c*d^-6*b^-3*a + 4*c^3*d^-7*b^-3*a + a*d^-8*b^-3*c^5 LL1[12][53] = a*d^-8*b^-3*c^5 + 2*a*d^-7*b^-3*c^3 LL1[12][54] = a*d^-7*b^-3*c^3 + a*d^-6*b^-3*c LL1[12][55] = a^2*d^-8*b^-3*c^4 + 2*a^2*d^-7*b^-3*c^2 LL1[12][56] = - a*d^-8*b^-3*c^4 - 2*a*d^-7*b^-3*c^2 LL1[12][58] = - c*d^-6*b^-3 - c^3*d^-7*b^-3 LL1[12][60] = - a*d^-7*b^-3*c^2 - a*d^-6*b^-3 LL1[12][61] = - 2*c*d^-6*b^-3*a^2 - c^3*d^-7*b^-2 - 4*c^3*d^-7*b^-3*a^2 - a^2*d^-8*b^-3*c^5 LL1[12][62] = 2*a^2*d^-7*b^-3*c^2 + a^2*d^-8*b^-3*c^4 + a^2*d^-6*b^-3 LL1[12][63] = c*d^-6*b^-3*a + 3*c^3*d^-7*b^-3*a + a*d^-8*b^-3*c^5 LL1[12][64] = - 3*c^2*d^-7*b^-3*a - a*d^-8*b^-3*c^4 LL1[12][65] = - a*d^-8*b^-3*c^4 - a*d^-7*b^-3*c^2 LL1[12][66] = - a*c^2*d^-7*b^-3 LL1[12][67] = - a^2*d^-8*b^-3*c^3 - a^2*d^-7*b^-3*c LL1[12][68] = a*d^-8*b^-3*c^3 + a*d^-7*b^-3*c LL1[12][70] = c^2*d^-7*b^-3 LL1[12][72] = a*c*d^-7*b^-3 LL1[12][97] = - c*d^-1 LL1[12][98] = d^-1 LL1[13][15] = 1 LL1[14][17] = 1 LL1[15][13] = b LL1[15][15] = a LL1[16][22] = 1 LL1[17][14] = b LL1[17][17] = a LL1[18][25] = - 2*d^-3*c^2*a*b^-1 - c^4*d^-4*a*b^-1 LL1[18][26] = d^-3*c*a*b^-1 + c^3*d^-4*a*b^-1 LL1[18][27] = d^-3*c^2*b^-1 + c^4*d^-4*b^-1 LL1[18][28] = - d^-3*c*b^-1 - c^3*d^-4*b^-1 LL1[18][29] = - c^3*d^-4*b^-1 LL1[18][30] = - d^-3*c*b^-1 LL1[18][31] = - c^2*d^-4*a*b^-1 LL1[18][32] = c^2*d^-4*b^-1 LL1[18][36] = d^-3*b^-1 LL1[18][37] = d^-3*c*a*b^-1 + c^3*d^-4*a*b^-1 LL1[18][38] = - d^-3*a*b^-1 - c^2*d^-4*a*b^-1 LL1[18][39] = - c^3*d^-4*b^-1 LL1[18][40] = c^2*d^-4*b^-1 LL1[18][41] = c^2*d^-4*b^-1 LL1[18][43] = c*d^-4*a*b^-1 LL1[18][44] = - c*d^-4*b^-1 LL1[19][23] = 1 LL1[20][25] = d^-2*c*a*b^-1 + c^3*d^-3*a*b^-1 LL1[20][26] = - d^-3*c^2*a*b^-1 LL1[20][31] = c*d^-3*a*b^-1 LL1[20][33] = d^-3*a^2*b^-2*c + c^3*d^-4*b^-1 LL1[20][35] = - d^-3*c*b^-1 LL1[20][37] = - d^-3*c^2*a*b^-1 LL1[20][38] = d^-3*c*a*b^-1 LL1[20][39] = 2*d^-3*c^2*b^-1 + c^4*d^-4*b^-1 LL1[20][40] = - d^-3*c*b^-1 - c^3*d^-4*b^-1 LL1[20][42] = - d^-3*c*b^-1 - d^-4*c^3*b^-1 LL1[20][45] = d^-4*a^2*b^-2*c^2 + d^-3*a^2*b^-2 + c^4*d^-5*b^-1 LL1[20][47] = d^-3*a^2*b^-2 + c^2*d^-4*b^-1 LL1[20][48] = d^-4*c^2*b^-1 LL1[20][49] = - d^-6*a^2*b^-3*c^3 + d^-5*a^4*b^-4*c LL1[20][50] = 2*d^-6*a^2*b^-3*c^2 LL1[20][51] = d^-5*a*b^-3*c + 2*d^-6*a*b^-3*c^3 LL1[20][52] = - 2*d^-6*a*b^-3*c^2 LL1[20][53] = - 2*d^-6*a*b^-3*c^2 LL1[20][54] = - d^-6*a*b^-3*c^2 LL1[20][55] = - 2*d^-6*a^2*b^-3*c LL1[20][56] = 2*d^-6*a*b^-3*c LL1[20][57] = c*d^-6*b^-3*a LL1[20][61] = 2*d^-6*a^2*b^-3*c^2 + c^2*d^-6*b^-2 LL1[20][62] = d^-7*a^2*b^-3*c^3 + d^-6*a^4*b^-4*c LL1[20][63] = d^-7*a*b^-3*c^4 + d^-6*a^3*b^-4*c^2 LL1[20][64] = - d^-7*a*b^-3*c^3 - d^-6*a^3*b^-4*c LL1[20][65] = - d^-7*a*b^-3*c^3 - d^-6*a^3*b^-4*c LL1[20][66] = - d^-7*a*b^-3*c^3 + d^-6*a*b^-3*c LL1[20][67] = - d^-7*a^2*b^-3*c^2 - d^-6*a^4*b^-4 LL1[20][68] = d^-7*a*b^-3*c^2 + d^-6*a^3*b^-4 LL1[20][69] = c^2*d^-7*b^-3*a LL1[20][73] = d^-9*a^3*b^-5*c^3 + 3*d^-9*a*b^-4*c^3 + d^-8*a^3*b^-5*c + d^-8*a*b^-4*c + c^5*d^-10*b^-4*a LL1[20][74] = - d^-9*a^3*b^-5*c^2 - 3*d^-9*a*b^-4*c^2 - c^4*d^-10*b^-4*a LL1[20][75] = - d^-9*a^2*b^-5*c^3 - c^3*d^-9*b^-4 - c^5*d^-10*b^-4 LL1[20][76] = d^-9*a^2*b^-5*c^2 + c^4*d^-10*b^-4 LL1[20][77] = d^-9*a^2*b^-5*c^2 + c^2*d^-9*b^-4 + c^4*d^-10*b^-4 LL1[20][79] = d^-9*a^3*b^-5*c + 2*d^-9*a*b^-4*c + c^3*d^-10*b^-4*a LL1[20][80] = - d^-9*a^2*b^-5*c - c^3*d^-10*b^-4 LL1[20][83] = - c*d^-9*b^-4 LL1[20][85] = - d^-9*a^3*b^-5*c^2 - d^-10*a*b^-4*c^4 - 2*d^-9*a*b^-4*c^2 LL1[20][86] = d^-9*a^3*b^-5*c + d^-9*a*b^-4*c LL1[20][87] = d^-9*a^2*b^-5*c^2 + c^2*d^-9*b^-4 + c^4*d^-10*b^-4 LL1[20][88] = - d^-9*a^2*b^-5*c - c^3*d^-10*b^-4 LL1[20][89] = - d^-9*a^2*b^-5*c LL1[20][90] = - c^3*d^-10*b^-4 LL1[20][91] = - d^-9*a^3*b^-5 - d^-9*a*b^-4 LL1[20][92] = d^-9*a^2*b^-5 LL1[20][96] = c^2*d^-10*b^-4 LL1[20][100] = d^-4*b^-1 LL1[21][25] = d^-2*a*b^-1*c + c^3*d^-3*a*b^-1 LL1[21][26] = - c^2*d^-3*a*b^-1 LL1[21][27] = - c^3*d^-3*b^-1 LL1[21][28] = d^-3*b^-1*c^2 LL1[21][29] = c^2*d^-3*b^-1 LL1[21][31] = d^-3*a*b^-1*c LL1[21][32] = - d^-3*b^-1*c LL1[21][37] = - d^-3*a*b^-1*c^2 LL1[21][38] = c*d^-3*a*b^-1 LL1[21][39] = c^2*d^-3*b^-1 LL1[21][40] = - d^-3*b^-1*c LL1[21][41] = - c*d^-3*b^-1 LL1[21][43] = - d^-3*a*b^-1 LL1[21][44] = d^-3*b^-1 LL1[22][16] = b LL1[22][22] = a LL1[23][19] = b LL1[23][23] = a LL1[24][7] = - b*c LL1[24][21] = a*d^-1*c^2 LL1[24][22] = c LL1[24][24] = a LL1[24][25] = 2*c*d^-2*a*b^-1 + a^3*b^-2*c*d^-2 LL1[24][26] = - a^3*b^-2*d^-2 LL1[24][27] = - a^2*b^-2*c*d^-2 LL1[24][28] = - c^2*d^-3*b^-1 LL1[24][29] = c^2*d^-3*b^-1 + a^2*b^-2*d^-2 LL1[24][30] = a^2*b^-2*d^-2 LL1[24][36] = c*d^-3*b^-1 LL1[24][37] = c^2*d^-3*a*b^-1 LL1[24][38] = - c*d^-3*a*b^-1 LL1[24][45] = c^2*d^-4*b^-1 LL1[24][49] = - c^3*d^-6*b^-2 - 2*c*d^-5*b^-3*a^2 - 4*c^3*d^-6*b^-3*a^2 - a^2*b^-3*d^-7*c^5 LL1[24][50] = 2*a^2*b^-3*d^-6*c^2 + a^2*b^-3*d^-7*c^4 + a^2*b^-3*d^-5 LL1[24][51] = c*d^-5*b^-3*a + 3*c^3*d^-6*b^-3*a + a*b^-3*d^-7*c^5 LL1[24][52] = - 3*c^2*d^-6*b^-3*a - a*b^-3*d^-7*c^4 LL1[24][53] = - a*b^-3*d^-7*c^4 - a*b^-3*d^-6*c^2 LL1[24][54] = - a*b^-3*d^-6*c^2 LL1[24][55] = - a^2*b^-3*d^-7*c^3 - a^2*b^-3*d^-6*c LL1[24][56] = a*b^-3*d^-7*c^3 + a*b^-3*d^-6*c LL1[24][58] = c^2*d^-6*b^-3 LL1[24][60] = a*b^-3*d^-6*c LL1[24][61] = c^2*d^-6*b^-2 + 3*c^2*d^-6*b^-3*a^2 + a^2*b^-3*d^-7*c^4 LL1[24][62] = - a^2*b^-3*d^-7*c^3 - a^2*b^-3*d^-6*c LL1[24][63] = - 2*c^2*d^-6*b^-3*a - a*b^-3*d^-7*c^4 LL1[24][64] = 2*c*d^-6*b^-3*a + a*b^-3*d^-7*c^3 LL1[24][65] = a*b^-3*d^-7*c^3 LL1[24][66] = a*b^-3*d^-6*c LL1[24][67] = a^2*b^-3*d^-7*c^2 LL1[24][68] = - a*b^-3*d^-7*c^2 LL1[24][70] = - c*d^-6*b^-3 LL1[24][72] = - a*b^-3*d^-6 LL1[24][97] = 1 LL1[25][27] = 1 LL1[26][29] = 1 LL1[27][25] = b LL1[27][27] = a LL1[28][34] = 1 LL1[29][26] = b LL1[29][29] = a LL1[30][49] = d^-3*c*a*b^-1 + 3*d^-4*c^3*a*b^-1 + c^5*d^-5*a*b^-1 LL1[30][50] = - d^-3*a*b^-1 - 2*d^-4*c^2*a*b^-1 - c^4*d^-5*a*b^-1 LL1[30][51] = - 2*d^-4*c^3*b^-1 - c^5*d^-5*b^-1 LL1[30][52] = 2*d^-4*c^2*b^-1 + c^4*d^-5*b^-1 LL1[30][53] = c^2*d^-4*b^-1 + c^4*d^-5*b^-1 LL1[30][54] = d^-4*c^2*b^-1 LL1[30][55] = c*d^-4*a*b^-1 + c^3*d^-5*a*b^-1 LL1[30][56] = - c*d^-4*b^-1 - c^3*d^-5*b^-1 LL1[30][60] = - d^-4*b^-1*c LL1[30][61] = - 2*d^-4*c^2*a*b^-1 - c^4*d^-5*a*b^-1 LL1[30][62] = d^-4*a*b^-1*c + c^3*d^-5*a*b^-1 LL1[30][63] = d^-4*c^2*b^-1 + c^4*d^-5*b^-1 LL1[30][64] = - d^-4*c*b^-1 - c^3*d^-5*b^-1 LL1[30][65] = - c^3*d^-5*b^-1 LL1[30][66] = - d^-4*c*b^-1 LL1[30][67] = - c^2*d^-5*a*b^-1 LL1[30][68] = c^2*d^-5*b^-1 LL1[30][72] = d^-4*b^-1 LL1[31][35] = 1 LL1[32][9] = b^2*d^3 LL1[32][21] = b^2*d^2*c LL1[32][25] = - c^2*b - c^2*a^2 LL1[32][26] = b*c + a^2*c LL1[32][27] = c^2*a LL1[32][28] = - c*a LL1[32][29] = - a*c LL1[32][31] = - a^2 LL1[32][32] = a LL1[32][34] = c LL1[32][35] = a LL1[32][37] = c*a^2 LL1[32][39] = - c*a LL1[33][49] = - 2*d^-3*a*b^-1*c^2 - c^4*d^-4*a*b^-1 LL1[33][50] = c*d^-3*a*b^-1 + c^3*d^-4*a*b^-1 LL1[33][51] = c^2*d^-3*b^-1 + c^4*d^-4*b^-1 LL1[33][52] = - d^-3*b^-1*c - d^-4*b^-1*c^3 LL1[33][53] = - c*d^-3*b^-1 - c^3*d^-4*b^-1 LL1[33][55] = - d^-3*a*b^-1 - d^-4*a*b^-1*c^2 LL1[33][56] = d^-3*b^-1 + d^-4*b^-1*c^2 LL1[33][61] = d^-4*a*b^-1*c^3 + d^-3*a*b^-1*c LL1[33][62] = - c^2*d^-4*a*b^-1 LL1[33][63] = - c^3*d^-4*b^-1 LL1[33][64] = d^-4*b^-1*c^2 LL1[33][65] = c^2*d^-4*b^-1 LL1[33][67] = d^-4*a*b^-1*c LL1[33][68] = - d^-4*b^-1*c LL1[34][28] = b LL1[34][34] = a LL1[35][31] = b LL1[35][35] = a LL1[36][18] = b^2*d^3 LL1[36][21] = b^2*d^2*c LL1[36][25] = - c^2*b - a^2*c^2 LL1[36][26] = a^2*c LL1[36][27] = c^2*a LL1[36][28] = - a*c LL1[36][29] = - a*c LL1[36][30] = - a*c LL1[36][34] = c LL1[36][36] = a LL1[36][37] = a^2*c LL1[36][38] = - a^2 LL1[36][39] = - a*c LL1[36][41] = a LL1[36][49] = c^2*d^-3*a*b^-1 + 3*c^4*d^-4*a*b^-1 + c^6*d^-5*a*b^-1 LL1[36][50] = - c*d^-3*a*b^-1 - 2*c^3*d^-4*a*b^-1 - c^5*d^-5*a*b^-1 LL1[36][51] = - 2*c^4*d^-4*b^-1 - c^6*d^-5*b^-1 LL1[36][52] = 2*c^3*d^-4*b^-1 + c^5*d^-5*b^-1 LL1[36][53] = c^3*d^-4*b^-1 + c^5*d^-5*b^-1 LL1[36][54] = c^3*d^-4*b^-1 LL1[36][55] = c^2*d^-4*a*b^-1 + c^4*d^-5*a*b^-1 LL1[36][56] = - c^2*d^-4*b^-1 - c^4*d^-5*b^-1 LL1[36][60] = - c^2*d^-4*b^-1 LL1[36][61] = - 2*c^3*d^-4*a*b^-1 - c^5*d^-5*a*b^-1 LL1[36][62] = c^2*d^-4*a*b^-1 + c^4*d^-5*a*b^-1 LL1[36][63] = c^3*d^-4*b^-1 + c^5*d^-5*b^-1 LL1[36][64] = - c^2*d^-4*b^-1 - c^4*d^-5*b^-1 LL1[36][65] = - c^4*d^-5*b^-1 LL1[36][66] = - c^2*d^-4*b^-1 LL1[36][67] = - c^3*d^-5*a*b^-1 LL1[36][68] = c^3*d^-5*b^-1 LL1[36][72] = c*d^-4*b^-1 LL1[37][39] = 1 LL1[38][41] = 1 LL1[39][37] = b LL1[39][39] = a LL1[40][46] = 1 LL1[41][38] = b LL1[41][41] = a LL1[42][49] = - 2*d^-3*c^2*a*b^-1 - c^4*d^-4*a*b^-1 LL1[42][50] = d^-3*c*a*b^-1 + c^3*d^-4*a*b^-1 LL1[42][51] = d^-3*c^2*b^-1 + c^4*d^-4*b^-1 LL1[42][52] = - d^-3*c*b^-1 - c^3*d^-4*b^-1 LL1[42][53] = - c^3*d^-4*b^-1 LL1[42][54] = - d^-3*c*b^-1 LL1[42][55] = - c^2*d^-4*a*b^-1 LL1[42][56] = c^2*d^-4*b^-1 LL1[42][60] = d^-3*b^-1 LL1[42][61] = d^-3*c*a*b^-1 + c^3*d^-4*a*b^-1 LL1[42][62] = - d^-3*a*b^-1 - c^2*d^-4*a*b^-1 LL1[42][63] = - c^3*d^-4*b^-1 LL1[42][64] = c^2*d^-4*b^-1 LL1[42][65] = c^2*d^-4*b^-1 LL1[42][67] = c*d^-4*a*b^-1 LL1[42][68] = - c*d^-4*b^-1 LL1[43][47] = 1 LL1[44][9] = b^2*d^3*c LL1[44][21] = b^2*d^2*c^2 + b^2*d^3 LL1[44][25] = c*a^2*d LL1[44][27] = - c*a*d LL1[44][37] = - c^2*b LL1[44][38] = b*c + a^2*c LL1[44][40] = - c*a LL1[44][41] = - a*c LL1[44][43] = - a^2 LL1[44][44] = a LL1[44][46] = c LL1[44][47] = a LL1[45][49] = d^-2*a*b^-1*c + c^3*d^-3*a*b^-1 LL1[45][50] = - c^2*d^-3*a*b^-1 LL1[45][51] = - c^3*d^-3*b^-1 LL1[45][52] = d^-3*b^-1*c^2 LL1[45][53] = c^2*d^-3*b^-1 LL1[45][55] = d^-3*a*b^-1*c LL1[45][56] = - d^-3*b^-1*c LL1[45][61] = - d^-3*a*b^-1*c^2 LL1[45][62] = c*d^-3*a*b^-1 LL1[45][63] = c^2*d^-3*b^-1 LL1[45][64] = - d^-3*b^-1*c LL1[45][65] = - c*d^-3*b^-1 LL1[45][67] = - d^-3*a*b^-1 LL1[45][68] = d^-3*b^-1 LL1[46][40] = b LL1[46][46] = a LL1[47][43] = b LL1[47][47] = a LL1[48][6] = b^2*d^4 LL1[48][9] = b^2*d^3*c LL1[48][18] = b^2*d^3*c LL1[48][21] = b^2*d^2*c^2 LL1[48][25] = d*a^2*c LL1[48][26] = - d*a^2 LL1[48][27] = - d*a*c LL1[48][29] = d*a LL1[48][37] = - c^2*b LL1[48][40] = - a*c LL1[48][42] = - a*c LL1[48][46] = c LL1[48][48] = a LL1[48][49] = - 2*c^3*d^-3*a*b^-1 - c^5*d^-4*a*b^-1 LL1[48][50] = c^2*d^-3*a*b^-1 + c^4*d^-4*a*b^-1 LL1[48][51] = c^3*d^-3*b^-1 + c^5*d^-4*b^-1 LL1[48][52] = - c^2*d^-3*b^-1 - c^4*d^-4*b^-1 LL1[48][53] = - c^4*d^-4*b^-1 LL1[48][54] = - c^2*d^-3*b^-1 LL1[48][55] = - c^3*d^-4*a*b^-1 LL1[48][56] = c^3*d^-4*b^-1 LL1[48][60] = c*d^-3*b^-1 LL1[48][61] = c^2*d^-3*a*b^-1 + c^4*d^-4*a*b^-1 LL1[48][62] = - c*d^-3*a*b^-1 - c^3*d^-4*a*b^-1 LL1[48][63] = - c^4*d^-4*b^-1 LL1[48][64] = c^3*d^-4*b^-1 LL1[48][65] = c^3*d^-4*b^-1 LL1[48][67] = c^2*d^-4*a*b^-1 LL1[48][68] = - c^2*d^-4*b^-1 LL1[49][51] = 1 LL1[50][53] = 1 LL1[51][49] = b LL1[51][51] = a LL1[52][58] = 1 LL1[53][50] = b LL1[53][53] = a LL1[54][73] = d^-3*c*a*b^-1 + 3*d^-4*c^3*a*b^-1 + c^5*d^-5*a*b^-1 LL1[54][74] = - d^-3*a*b^-1 - 2*d^-4*c^2*a*b^-1 - c^4*d^-5*a*b^-1 LL1[54][75] = - 2*d^-4*c^3*b^-1 - c^5*d^-5*b^-1 LL1[54][76] = 2*d^-4*c^2*b^-1 + c^4*d^-5*b^-1 LL1[54][77] = c^2*d^-4*b^-1 + c^4*d^-5*b^-1 LL1[54][78] = d^-4*c^2*b^-1 LL1[54][79] = c*d^-4*a*b^-1 + c^3*d^-5*a*b^-1 LL1[54][80] = - c*d^-4*b^-1 - c^3*d^-5*b^-1 LL1[54][84] = - d^-4*b^-1*c LL1[54][85] = - 2*d^-4*c^2*a*b^-1 - c^4*d^-5*a*b^-1 LL1[54][86] = d^-4*a*b^-1*c + c^3*d^-5*a*b^-1 LL1[54][87] = d^-4*c^2*b^-1 + c^4*d^-5*b^-1 LL1[54][88] = - d^-4*c*b^-1 - c^3*d^-5*b^-1 LL1[54][89] = - c^3*d^-5*b^-1 LL1[54][90] = - d^-4*c*b^-1 LL1[54][91] = - c^2*d^-5*a*b^-1 LL1[54][92] = c^2*d^-5*b^-1 LL1[54][96] = d^-4*b^-1 LL1[55][59] = 1 LL1[56][33] = b^2*d^3 LL1[56][45] = b^2*d^2*c LL1[56][49] = - c^2*b - c^2*a^2 LL1[56][50] = b*c + a^2*c LL1[56][51] = c^2*a LL1[56][52] = - c*a LL1[56][53] = - a*c LL1[56][55] = - a^2 LL1[56][56] = a LL1[56][58] = c LL1[56][59] = a LL1[56][61] = c*a^2 LL1[56][63] = - c*a LL1[57][73] = - 2*d^-3*a*b^-1*c^2 - c^4*d^-4*a*b^-1 LL1[57][74] = c*d^-3*a*b^-1 + c^3*d^-4*a*b^-1 LL1[57][75] = c^2*d^-3*b^-1 + c^4*d^-4*b^-1 LL1[57][76] = - d^-3*b^-1*c - d^-4*b^-1*c^3 LL1[57][77] = - c*d^-3*b^-1 - c^3*d^-4*b^-1 LL1[57][79] = - d^-3*a*b^-1 - d^-4*a*b^-1*c^2 LL1[57][80] = d^-3*b^-1 + d^-4*b^-1*c^2 LL1[57][85] = d^-4*a*b^-1*c^3 + d^-3*a*b^-1*c LL1[57][86] = - c^2*d^-4*a*b^-1 LL1[57][87] = - c^3*d^-4*b^-1 LL1[57][88] = d^-4*b^-1*c^2 LL1[57][89] = c^2*d^-4*b^-1 LL1[57][91] = d^-4*a*b^-1*c LL1[57][92] = - d^-4*b^-1*c LL1[58][52] = b LL1[58][58] = a LL1[59][55] = b LL1[59][59] = a LL1[60][42] = b^2*d^3 LL1[60][45] = b^2*d^2*c LL1[60][49] = - c^2*b - a^2*c^2 LL1[60][50] = a^2*c LL1[60][51] = c^2*a LL1[60][52] = - a*c LL1[60][53] = - a*c LL1[60][54] = - a*c LL1[60][58] = c LL1[60][60] = a LL1[60][61] = a^2*c LL1[60][62] = - a^2 LL1[60][63] = - a*c LL1[60][65] = a LL1[60][73] = c^2*d^-3*a*b^-1 + 3*c^4*d^-4*a*b^-1 + c^6*d^-5*a*b^-1 LL1[60][74] = - c*d^-3*a*b^-1 - 2*c^3*d^-4*a*b^-1 - c^5*d^-5*a*b^-1 LL1[60][75] = - 2*c^4*d^-4*b^-1 - c^6*d^-5*b^-1 LL1[60][76] = 2*c^3*d^-4*b^-1 + c^5*d^-5*b^-1 LL1[60][77] = c^3*d^-4*b^-1 + c^5*d^-5*b^-1 LL1[60][78] = c^3*d^-4*b^-1 LL1[60][79] = c^2*d^-4*a*b^-1 + c^4*d^-5*a*b^-1 LL1[60][80] = - c^2*d^-4*b^-1 - c^4*d^-5*b^-1 LL1[60][84] = - c^2*d^-4*b^-1 LL1[60][85] = - 2*c^3*d^-4*a*b^-1 - c^5*d^-5*a*b^-1 LL1[60][86] = c^2*d^-4*a*b^-1 + c^4*d^-5*a*b^-1 LL1[60][87] = c^3*d^-4*b^-1 + c^5*d^-5*b^-1 LL1[60][88] = - c^2*d^-4*b^-1 - c^4*d^-5*b^-1 LL1[60][89] = - c^4*d^-5*b^-1 LL1[60][90] = - c^2*d^-4*b^-1 LL1[60][91] = - c^3*d^-5*a*b^-1 LL1[60][92] = c^3*d^-5*b^-1 LL1[60][96] = c*d^-4*b^-1 LL1[61][63] = 1 LL1[62][65] = 1 LL1[63][61] = b LL1[63][63] = a LL1[64][70] = 1 LL1[65][62] = b LL1[65][65] = a LL1[66][73] = - 2*d^-3*c^2*a*b^-1 - c^4*d^-4*a*b^-1 LL1[66][74] = d^-3*c*a*b^-1 + c^3*d^-4*a*b^-1 LL1[66][75] = d^-3*c^2*b^-1 + c^4*d^-4*b^-1 LL1[66][76] = - d^-3*c*b^-1 - c^3*d^-4*b^-1 LL1[66][77] = - c^3*d^-4*b^-1 LL1[66][78] = - d^-3*c*b^-1 LL1[66][79] = - c^2*d^-4*a*b^-1 LL1[66][80] = c^2*d^-4*b^-1 LL1[66][84] = d^-3*b^-1 LL1[66][85] = d^-3*c*a*b^-1 + c^3*d^-4*a*b^-1 LL1[66][86] = - d^-3*a*b^-1 - c^2*d^-4*a*b^-1 LL1[66][87] = - c^3*d^-4*b^-1 LL1[66][88] = c^2*d^-4*b^-1 LL1[66][89] = c^2*d^-4*b^-1 LL1[66][91] = c*d^-4*a*b^-1 LL1[66][92] = - c*d^-4*b^-1 LL1[67][71] = 1 LL1[68][33] = b^2*d^3*c LL1[68][45] = b^2*d^2*c^2 + b^2*d^3 LL1[68][49] = c*a^2*d LL1[68][51] = - c*a*d LL1[68][61] = - c^2*b LL1[68][62] = b*c + a^2*c LL1[68][64] = - c*a LL1[68][65] = - a*c LL1[68][67] = - a^2 LL1[68][68] = a LL1[68][70] = c LL1[68][71] = a LL1[69][73] = d^-2*a*b^-1*c + c^3*d^-3*a*b^-1 LL1[69][74] = - c^2*d^-3*a*b^-1 LL1[69][75] = - c^3*d^-3*b^-1 LL1[69][76] = d^-3*b^-1*c^2 LL1[69][77] = c^2*d^-3*b^-1 LL1[69][79] = d^-3*a*b^-1*c LL1[69][80] = - d^-3*b^-1*c LL1[69][85] = - d^-3*a*b^-1*c^2 LL1[69][86] = c*d^-3*a*b^-1 LL1[69][87] = c^2*d^-3*b^-1 LL1[69][88] = - d^-3*b^-1*c LL1[69][89] = - c*d^-3*b^-1 LL1[69][91] = - d^-3*a*b^-1 LL1[69][92] = d^-3*b^-1 LL1[70][64] = b LL1[70][70] = a LL1[71][67] = b LL1[71][71] = a LL1[72][30] = b^2*d^4 LL1[72][33] = b^2*d^3*c LL1[72][42] = b^2*d^3*c LL1[72][45] = b^2*d^2*c^2 LL1[72][49] = d*a^2*c LL1[72][50] = - d*a^2 LL1[72][51] = - d*a*c LL1[72][53] = d*a LL1[72][61] = - c^2*b LL1[72][64] = - a*c LL1[72][66] = - a*c LL1[72][70] = c LL1[72][72] = a LL1[72][73] = - 2*c^3*d^-3*a*b^-1 - c^5*d^-4*a*b^-1 LL1[72][74] = c^2*d^-3*a*b^-1 + c^4*d^-4*a*b^-1 LL1[72][75] = c^3*d^-3*b^-1 + c^5*d^-4*b^-1 LL1[72][76] = - c^2*d^-3*b^-1 - c^4*d^-4*b^-1 LL1[72][77] = - c^4*d^-4*b^-1 LL1[72][78] = - c^2*d^-3*b^-1 LL1[72][79] = - c^3*d^-4*a*b^-1 LL1[72][80] = c^3*d^-4*b^-1 LL1[72][84] = c*d^-3*b^-1 LL1[72][85] = c^2*d^-3*a*b^-1 + c^4*d^-4*a*b^-1 LL1[72][86] = - c*d^-3*a*b^-1 - c^3*d^-4*a*b^-1 LL1[72][87] = - c^4*d^-4*b^-1 LL1[72][88] = c^3*d^-4*b^-1 LL1[72][89] = c^3*d^-4*b^-1 LL1[72][91] = c^2*d^-4*a*b^-1 LL1[72][92] = - c^2*d^-4*b^-1 LL1[73][75] = 1 LL1[74][77] = 1 LL1[75][73] = b LL1[75][75] = a LL1[76][82] = 1 LL1[77][74] = b LL1[77][77] = a LL1[78][11] = b^5*d^8*c LL1[78][21] = b^5*d^7*c^2 LL1[78][24] = b^5*d^8 LL1[78][25] = b^4*d^6*c + b^3*d^6*a^2*c LL1[78][26] = - b^3*d^6*a^2 LL1[78][27] = - b^3*d^6*a*c LL1[78][29] = b^3*d^6*a LL1[78][30] = b^3*d^6*a LL1[78][49] = - b^2*d^3*c*a - 3*b^2*d^2*c^3*a - b^2*d*c^5*a LL1[78][50] = b^2*d^3*a + 2*b^2*d^2*c^2*a + b^2*d*c^4*a LL1[78][51] = 2*b^2*d^2*c^3 + b^2*d*c^5 LL1[78][52] = - 2*b^2*d^2*c^2 - b^2*d*c^4 LL1[78][53] = - b^2*d^2*c^2 - b^2*d*c^4 LL1[78][54] = - b^2*d^2*c^2 LL1[78][55] = - b^2*d^2*c*a - b^2*d*c^3*a LL1[78][56] = b^2*d^2*c + b^2*d*c^3 LL1[78][59] = b^2*d^2*c LL1[78][60] = b^2*d^2*c LL1[78][61] = 2*b^2*d^2*c^2*a + b^2*d*c^4*a LL1[78][62] = - b^2*d^2*c*a - b^2*d*c^3*a LL1[78][63] = - b^2*d^2*c^2 - b^2*d*c^4 LL1[78][64] = b^2*d^2*c + b^2*d*c^3 LL1[78][65] = b^2*d*c^3 LL1[78][66] = b^2*d^2*c LL1[78][67] = b^2*d*c^2*a LL1[78][68] = - b^2*d*c^2 LL1[78][69] = b^2*d*c^2 LL1[78][73] = b*c + a^2*c LL1[78][74] = - a^2 LL1[78][75] = - a*c LL1[78][77] = a LL1[78][78] = a LL1[79][83] = 1 LL1[80][57] = b^2*d^3 LL1[80][69] = b^2*d^2*c LL1[80][73] = - c^2*b - c^2*a^2 LL1[80][74] = b*c + a^2*c LL1[80][75] = c^2*a LL1[80][76] = - c*a LL1[80][77] = - a*c LL1[80][79] = - a^2 LL1[80][80] = a LL1[80][82] = c LL1[80][83] = a LL1[80][85] = c*a^2 LL1[80][87] = - c*a LL1[82][76] = b LL1[82][82] = a LL1[83][79] = b LL1[83][83] = a LL1[84][11] = c^2*b^5*d^8 LL1[84][21] = c^3*b^5*d^7 LL1[84][24] = c*b^5*d^8 LL1[84][25] = c^2*b^4*d^6 + c^2*b^3*d^6*a^2 LL1[84][26] = - c*b^3*d^6*a^2 LL1[84][27] = - c^2*b^3*d^6*a LL1[84][29] = c*b^3*d^6*a LL1[84][30] = c*b^3*d^6*a LL1[84][49] = - c^2*b^2*d^3*a - 3*c^4*b^2*d^2*a - c^6*b^2*d*a LL1[84][50] = c*b^2*d^3*a + 2*c^3*b^2*d^2*a + c^5*b^2*d*a LL1[84][51] = 2*c^4*b^2*d^2 + c^6*b^2*d LL1[84][52] = - 2*c^3*b^2*d^2 - c^5*b^2*d LL1[84][53] = - c^3*b^2*d^2 - c^5*b^2*d LL1[84][54] = - c^3*b^2*d^2 LL1[84][55] = - c^2*b^2*d^2*a - c^4*b^2*d*a LL1[84][56] = c^2*b^2*d^2 + c^4*b^2*d LL1[84][59] = c^2*b^2*d^2 LL1[84][60] = c^2*b^2*d^2 LL1[84][61] = 2*c^3*b^2*d^2*a + c^5*b^2*d*a LL1[84][62] = - c^2*b^2*d^2*a - c^4*b^2*d*a LL1[84][63] = - c^3*b^2*d^2 - c^5*b^2*d LL1[84][64] = c^2*b^2*d^2 + c^4*b^2*d LL1[84][65] = c^4*b^2*d LL1[84][66] = c^2*b^2*d^2 + b^2*d^3 LL1[84][67] = c^3*b^2*d*a LL1[84][68] = - c^3*b^2*d LL1[84][69] = c^3*b^2*d + b^2*d^2*c LL1[84][76] = - a*c LL1[84][82] = c LL1[84][84] = a LL1[84][85] = a^2*c LL1[84][86] = - a^2 LL1[84][87] = - a*c LL1[84][89] = a LL1[85][87] = 1 LL1[86][89] = 1 LL1[87][85] = b LL1[87][87] = a LL1[88][94] = 1 LL1[89][86] = b LL1[89][89] = a LL1[90][9] = b^5*d^8*c^2 LL1[90][12] = b^5*d^9 LL1[90][21] = b^5*d^7*c^3 LL1[90][23] = b^5*d^8*c LL1[90][24] = b^5*d^8*c LL1[90][37] = b^4*d^6*c + b^3*d^6*a^2*c LL1[90][38] = - b^3*d^6*a^2 LL1[90][39] = - b^3*d^6*a*c LL1[90][41] = b^3*d^6*a LL1[90][42] = b^3*d^6*a LL1[90][49] = 2*b^2*d^3*c^2*a + b^2*d^2*c^4*a LL1[90][50] = - b^2*d^3*c*a - b^2*d^2*c^3*a LL1[90][51] = - b^2*d^3*c^2 - b^2*d^2*c^4 LL1[90][52] = b^2*d^3*c + b^2*d^2*c^3 LL1[90][53] = b^2*d^2*c^3 LL1[90][54] = b^2*d^3*c LL1[90][55] = b^2*d^2*c^2*a LL1[90][56] = - b^2*d^2*c^2 LL1[90][57] = b^2*d^2*c^2 LL1[90][61] = - b^2*d^3*c*a - b^2*d^2*c^3*a LL1[90][62] = b^2*d^3*a + b^2*d^2*c^2*a LL1[90][63] = b^2*d^2*c^3 LL1[90][64] = - b^2*d^2*c^2 LL1[90][65] = - b^2*d^2*c^2 LL1[90][67] = - b^2*d^2*c*a LL1[90][68] = b^2*d^2*c LL1[90][69] = b^2*d*c^3 LL1[90][71] = b^2*d^2*c LL1[90][72] = b^2*d^2*c LL1[90][85] = b*c + a^2*c LL1[90][86] = - a^2 LL1[90][87] = - a*c LL1[90][89] = a LL1[90][90] = a LL1[91][95] = 1 LL1[92][57] = b^2*d^3*c LL1[92][69] = b^2*d^2*c^2 + b^2*d^3 LL1[92][73] = c*a^2*d LL1[92][75] = - c*a*d LL1[92][85] = - c^2*b LL1[92][86] = b*c + a^2*c LL1[92][88] = - c*a LL1[92][89] = - a*c LL1[92][91] = - a^2 LL1[92][92] = a LL1[92][94] = c LL1[92][95] = a LL1[94][88] = b LL1[94][94] = a LL1[95][91] = b LL1[95][95] = a LL1[96][9] = c^3*b^5*d^8 LL1[96][12] = c*b^5*d^9 LL1[96][21] = c^4*b^5*d^7 LL1[96][23] = c^2*b^5*d^8 LL1[96][24] = c^2*b^5*d^8 LL1[96][37] = c^2*b^4*d^6 + c^2*b^3*d^6*a^2 LL1[96][38] = - c*b^3*d^6*a^2 LL1[96][39] = - c^2*b^3*d^6*a LL1[96][41] = c*b^3*d^6*a LL1[96][42] = c*b^3*d^6*a LL1[96][49] = 2*c^3*b^2*d^3*a + c^5*b^2*d^2*a LL1[96][50] = - c^2*b^2*d^3*a - c^4*b^2*d^2*a LL1[96][51] = - c^3*b^2*d^3 - c^5*b^2*d^2 LL1[96][52] = c^2*b^2*d^3 + c^4*b^2*d^2 LL1[96][53] = c^4*b^2*d^2 LL1[96][54] = c^2*b^2*d^3 + b^2*d^4 LL1[96][55] = c^3*b^2*d^2*a LL1[96][56] = - c^3*b^2*d^2 LL1[96][57] = c^3*b^2*d^2 + b^2*d^3*c LL1[96][61] = - c^2*b^2*d^3*a - c^4*b^2*d^2*a LL1[96][62] = c*b^2*d^3*a + c^3*b^2*d^2*a LL1[96][63] = c^4*b^2*d^2 LL1[96][64] = - c^3*b^2*d^2 LL1[96][65] = - c^3*b^2*d^2 LL1[96][66] = b^2*d^3*c LL1[96][67] = - c^2*b^2*d^2*a LL1[96][68] = c^2*b^2*d^2 LL1[96][69] = c^4*b^2*d + b^2*d^2*c^2 LL1[96][71] = c^2*b^2*d^2 LL1[96][72] = c^2*b^2*d^2 LL1[96][73] = d*a^2*c LL1[96][74] = - d*a^2 LL1[96][75] = - d*a*c LL1[96][77] = d*a LL1[96][85] = c^2*a^2 LL1[96][86] = - c*a^2 LL1[96][87] = - c^2*a LL1[96][88] = - a*c LL1[96][89] = c*a LL1[96][94] = c LL1[96][96] = a L2[1][13] = 1 L2[2][7] = 1 L2[3][4] = 1 L2[4][3] = d L2[4][4] = c L2[5][8] = 1 L2[6][9] = 1 L2[7][2] = d L2[7][7] = c L2[8][5] = d L2[8][8] = c L2[9][6] = d L2[9][9] = c L2[10][25] = - 2*c^2*d^-3*a*b^-1 - c^4*d^-4*a*b^-1 - d^-2*a*b^-1 L2[10][26] = c^3*d^-4*a*b^-1 + d^-3*c*a*b^-1 L2[10][27] = c^4*d^-4*b^-1 + d^-3*c^2*b^-1 L2[10][28] = - c^3*d^-4*b^-1 L2[10][29] = - c^3*d^-4*b^-1 - d^-3*c*b^-1 L2[10][30] = - d^-3*c*b^-1 L2[10][31] = - c^2*d^-4*a*b^-1 L2[10][32] = c^2*d^-4*b^-1 L2[10][37] = c^3*d^-4*a*b^-1 L2[10][38] = - c^2*d^-4*a*b^-1 L2[10][39] = - c^3*d^-4*b^-1 L2[10][40] = c^2*d^-4*b^-1 L2[10][41] = c^2*d^-4*b^-1 L2[10][43] = c*d^-4*a*b^-1 L2[10][44] = - c*d^-4*b^-1 L2[10][45] = - d^-4*c*b^-1 L2[10][49] = d^-6*b^-2*c^2 + d^-5*b^-3*a^2 + d^-6*b^-3*a^2*c^2 L2[10][51] = - d^-5*b^-3*a - d^-6*b^-3*c^2*a L2[10][52] = d^-6*b^-3*a*c L2[10][58] = - d^-6*b^-3*c L2[10][61] = - d^-6*b^-2*c - d^-6*b^-3*a^2*c L2[10][63] = d^-6*b^-3*a*c L2[10][64] = - d^-6*b^-3*a L2[10][70] = d^-6*b^-3 L2[11][18] = - c L2[11][21] = - d^-1*c^2 L2[11][25] = - b^-1*c*d^-2 - a^2*b^-2*c*d^-2 L2[11][26] = a^2*b^-2*d^-2 L2[11][27] = b^-2*c*d^-2*a L2[11][29] = - b^-2*d^-2*a L2[11][30] = - a*b^-2*d^-2 L2[11][49] = 3*b^-3*d^-6*c^3*a + b^-3*d^-7*c^5*a + b^-3*d^-5*c*a L2[11][50] = - 2*b^-3*d^-6*c^2*a - b^-3*d^-7*c^4*a - b^-3*d^-5*a L2[11][51] = - b^-3*d^-7*c^5 - 2*b^-3*d^-6*c^3 L2[11][52] = b^-3*d^-7*c^4 + 2*b^-3*d^-6*c^2 L2[11][53] = b^-3*d^-7*c^4 + b^-3*d^-6*c^2 L2[11][54] = b^-3*d^-6*c^2 L2[11][55] = b^-3*d^-7*c^3*a + b^-3*d^-6*c*a L2[11][56] = - b^-3*d^-7*c^3 - b^-3*d^-6*c L2[11][60] = - b^-3*d^-6*c L2[11][61] = - b^-3*d^-7*c^4*a - 2*b^-3*d^-6*c^2*a L2[11][62] = b^-3*d^-7*c^3*a + b^-3*d^-6*a*c L2[11][63] = b^-3*d^-7*c^4 + b^-3*d^-6*c^2 L2[11][64] = - b^-3*d^-7*c^3 - b^-3*d^-6*c L2[11][65] = - b^-3*d^-7*c^3 L2[11][66] = - b^-3*d^-6*c L2[11][67] = - b^-3*d^-7*c^2*a L2[11][68] = b^-3*d^-7*c^2 L2[11][72] = b^-3*d^-6 L2[12][11] = - c L2[12][21] = - d^-1*c^2 L2[12][25] = - a^2*b^-2*d^-2*c - b^-1*d^-2*c L2[12][38] = - a^2*b^-2*c*d^-3 L2[12][39] = - a*b^-2*c^2*d^-3 L2[12][40] = a*b^-2*d^-3*c L2[12][41] = a*b^-2*c*d^-3 L2[12][42] = b^-2*d^-3*c*a L2[12][43] = a^2*b^-2*d^-3 L2[12][44] = - a*b^-2*d^-3 L2[12][45] = - a*b^-2*d^-3 L2[12][49] = 3*b^-3*d^-6*c^3*a + b^-3*d^-7*c^5*a + b^-3*d^-5*a*c L2[12][50] = - 2*b^-3*d^-6*c^2*a - b^-3*d^-7*c^4*a L2[12][51] = - 2*b^-3*d^-6*c^3 - b^-3*d^-7*c^5 - b^-3*d^-5*c L2[12][52] = b^-3*d^-7*c^4 + b^-3*d^-6*c^2 L2[12][53] = b^-3*d^-6*c^2 + b^-3*d^-7*c^4 L2[12][54] = b^-3*d^-6*c^2 L2[12][55] = b^-3*d^-7*c^3*a + b^-3*d^-6*a*c L2[12][56] = - b^-3*d^-7*c^3 L2[12][59] = - b^-3*d^-6*c L2[12][60] = - b^-3*d^-6*c L2[12][61] = - b^-3*d^-7*c^4*a - 2*b^-3*d^-6*c^2*a L2[12][62] = 2*b^-3*d^-6*c*a + b^-3*d^-7*c^3*a L2[12][63] = b^-3*d^-6*c^2 + b^-3*d^-7*c^4 L2[12][64] = - b^-3*d^-7*c^3 L2[12][65] = - b^-3*d^-6*c - b^-3*d^-7*c^3 L2[12][67] = - b^-3*d^-7*c^2*a - b^-3*d^-6*a L2[12][68] = b^-3*d^-7*c^2 L2[12][71] = b^-3*d^-6 L2[13][1] = d L2[13][13] = c L2[14][19] = 1 L2[15][16] = 1 L2[16][15] = d L2[16][16] = c L2[17][20] = 1 L2[18][21] = 1 L2[19][14] = d L2[19][19] = c L2[20][17] = d L2[20][20] = c L2[21][18] = d L2[21][21] = c L2[22][25] = c^3*d^-3*a*b^-1 L2[22][26] = - c^2*d^-3*a*b^-1 L2[22][27] = - c^3*d^-3*b^-1 L2[22][28] = c^2*d^-3*b^-1 L2[22][29] = c^2*d^-3*b^-1 L2[22][31] = c*d^-3*a*b^-1 L2[22][32] = - c*d^-3*b^-1 L2[22][33] = - d^-3*c*b^-1 L2[22][37] = - 2*c^2*d^-3*a*b^-1 - d^-2*a*b^-1 L2[22][38] = d^-3*c*a*b^-1 L2[22][39] = d^-3*c^2*b^-1 L2[22][41] = - d^-3*c*b^-1 L2[22][42] = - d^-3*c*b^-1 L2[22][45] = - d^-4*c^2*b^-1 L2[22][49] = - d^-5*b^-2*c - d^-5*b^-3*a^2*c L2[22][51] = d^-5*b^-3*c*a L2[22][52] = - d^-5*b^-3*a L2[22][58] = d^-5*b^-3 L2[22][61] = d^-5*b^-3*a^2 L2[22][63] = - d^-5*b^-3*a L2[23][6] = - c*d L2[23][9] = - c^2 L2[23][18] = - c^2 L2[23][21] = - d^-1*c^3 L2[23][37] = - b^-1*c*d^-2 - a^2*b^-2*c*d^-2 L2[23][38] = a^2*b^-2*d^-2 L2[23][39] = b^-2*c*d^-2*a L2[23][41] = - b^-2*d^-2*a L2[23][42] = - a*b^-2*d^-2 L2[23][49] = - b^-3*d^-6*c^4*a - 2*b^-3*d^-5*c^2*a L2[23][50] = b^-3*d^-6*c^3*a + b^-3*d^-5*c*a L2[23][51] = b^-3*d^-6*c^4 + b^-3*d^-5*c^2 L2[23][52] = - b^-3*d^-6*c^3 - b^-3*d^-5*c L2[23][53] = - b^-3*d^-6*c^3 L2[23][54] = - b^-3*d^-5*c L2[23][55] = - b^-3*d^-6*c^2*a L2[23][56] = b^-3*d^-6*c^2 L2[23][60] = b^-3*d^-5 L2[23][61] = b^-3*d^-6*c^3*a + b^-3*d^-5*c*a L2[23][62] = - b^-3*d^-6*c^2*a - b^-3*d^-5*a L2[23][63] = - b^-3*d^-6*c^3 L2[23][64] = b^-3*d^-6*c^2 L2[23][65] = b^-3*d^-6*c^2 L2[23][67] = b^-3*d^-6*c*a L2[23][68] = - b^-3*d^-6*c L2[24][9] = - c^2 L2[24][21] = - d^-1*c^3 L2[24][23] = - c L2[24][26] = - a^2*b^-2*d^-2*c L2[24][27] = - a*b^-2*d^-2*c^2 L2[24][28] = a*b^-2*d^-2*c L2[24][29] = a*b^-2*d^-2*c L2[24][30] = b^-2*d^-2*c*a L2[24][31] = a^2*b^-2*d^-2 L2[24][32] = - a*b^-2*d^-2 L2[24][33] = - a*b^-2*d^-2 L2[24][37] = - a^2*b^-2*d^-2*c - b^-1*d^-2*c L2[24][38] = - a^2*b^-2*c^2*d^-3 L2[24][39] = - a*b^-2*c^3*d^-3 L2[24][40] = a*b^-2*c^2*d^-3 L2[24][41] = a*b^-2*c^2*d^-3 L2[24][42] = b^-2*d^-3*c^2*a L2[24][43] = a^2*b^-2*c*d^-3 L2[24][44] = - a*b^-2*c*d^-3 L2[24][45] = - a*b^-2*d^-3*c L2[24][49] = - 2*b^-3*d^-5*c^2*a - b^-3*d^-6*c^4*a L2[24][50] = 2*b^-3*d^-5*c*a + b^-3*d^-6*c^3*a L2[24][51] = b^-3*d^-5*c^2 + b^-3*d^-6*c^4 L2[24][52] = - b^-3*d^-6*c^3 L2[24][53] = - b^-3*d^-5*c - b^-3*d^-6*c^3 L2[24][55] = - b^-3*d^-6*c^2*a - b^-3*d^-5*a L2[24][56] = b^-3*d^-6*c^2 L2[24][59] = b^-3*d^-5 L2[24][61] = b^-3*d^-6*c^3*a + b^-3*d^-5*a*c L2[24][63] = - b^-3*d^-5*c - b^-3*d^-6*c^3 L2[24][64] = b^-3*d^-6*c^2 L2[24][66] = b^-3*d^-6*c^2 L2[24][72] = - b^-3*d^-6*c L2[25][37] = 1 L2[26][31] = 1 L2[27][28] = 1 L2[28][27] = d L2[28][28] = c L2[29][32] = 1 L2[30][33] = 1 L2[31][26] = d L2[31][31] = c L2[32][29] = d L2[32][32] = c L2[33][30] = d L2[33][33] = c L2[34][49] = - 2*c^2*d^-3*a*b^-1 - c^4*d^-4*a*b^-1 - d^-2*a*b^-1 L2[34][50] = c^3*d^-4*a*b^-1 + d^-3*c*a*b^-1 L2[34][51] = c^4*d^-4*b^-1 + d^-3*c^2*b^-1 L2[34][52] = - c^3*d^-4*b^-1 L2[34][53] = - c^3*d^-4*b^-1 - d^-3*c*b^-1 L2[34][54] = - d^-3*c*b^-1 L2[34][55] = - c^2*d^-4*a*b^-1 L2[34][56] = c^2*d^-4*b^-1 L2[34][61] = c^3*d^-4*a*b^-1 L2[34][62] = - c^2*d^-4*a*b^-1 L2[34][63] = - c^3*d^-4*b^-1 L2[34][64] = c^2*d^-4*b^-1 L2[34][65] = c^2*d^-4*b^-1 L2[34][67] = c*d^-4*a*b^-1 L2[34][68] = - c*d^-4*b^-1 L2[34][69] = - d^-4*c*b^-1 L2[34][73] = d^-6*b^-2*c^2 + d^-5*b^-3*a^2 + d^-6*b^-3*a^2*c^2 L2[34][75] = - d^-5*b^-3*a - d^-6*b^-3*c^2*a L2[34][76] = d^-6*b^-3*a*c L2[34][82] = - d^-6*b^-3*c L2[34][85] = - d^-6*b^-2*c - d^-6*b^-3*a^2*c L2[34][87] = d^-6*b^-3*a*c L2[34][88] = - d^-6*b^-3*a L2[34][94] = d^-6*b^-3 L2[35][42] = - c L2[35][45] = - d^-1*c^2 L2[35][49] = - b^-1*c*d^-2 - a^2*b^-2*c*d^-2 L2[35][50] = a^2*b^-2*d^-2 L2[35][51] = b^-2*c*d^-2*a L2[35][53] = - b^-2*d^-2*a L2[35][54] = - a*b^-2*d^-2 L2[35][73] = 3*b^-3*d^-6*c^3*a + b^-3*d^-7*c^5*a + b^-3*d^-5*c*a L2[35][74] = - 2*b^-3*d^-6*c^2*a - b^-3*d^-7*c^4*a - b^-3*d^-5*a L2[35][75] = - b^-3*d^-7*c^5 - 2*b^-3*d^-6*c^3 L2[35][76] = b^-3*d^-7*c^4 + 2*b^-3*d^-6*c^2 L2[35][77] = b^-3*d^-7*c^4 + b^-3*d^-6*c^2 L2[35][78] = b^-3*d^-6*c^2 L2[35][79] = b^-3*d^-7*c^3*a + b^-3*d^-6*c*a L2[35][80] = - b^-3*d^-7*c^3 - b^-3*d^-6*c L2[35][84] = - b^-3*d^-6*c L2[35][85] = - b^-3*d^-7*c^4*a - 2*b^-3*d^-6*c^2*a L2[35][86] = b^-3*d^-7*c^3*a + b^-3*d^-6*a*c L2[35][87] = b^-3*d^-7*c^4 + b^-3*d^-6*c^2 L2[35][88] = - b^-3*d^-7*c^3 - b^-3*d^-6*c L2[35][89] = - b^-3*d^-7*c^3 L2[35][90] = - b^-3*d^-6*c L2[35][91] = - b^-3*d^-7*c^2*a L2[35][92] = b^-3*d^-7*c^2 L2[35][96] = b^-3*d^-6 L2[36][35] = - c L2[36][45] = - d^-1*c^2 L2[36][49] = - a^2*b^-2*d^-2*c - b^-1*d^-2*c L2[36][62] = - a^2*b^-2*c*d^-3 L2[36][63] = - a*b^-2*c^2*d^-3 L2[36][64] = a*b^-2*d^-3*c L2[36][65] = a*b^-2*c*d^-3 L2[36][66] = b^-2*d^-3*c*a L2[36][67] = a^2*b^-2*d^-3 L2[36][68] = - a*b^-2*d^-3 L2[36][69] = - a*b^-2*d^-3 L2[36][73] = 3*b^-3*d^-6*c^3*a + b^-3*d^-7*c^5*a + b^-3*d^-5*a*c L2[36][74] = - 2*b^-3*d^-6*c^2*a - b^-3*d^-7*c^4*a L2[36][75] = - 2*b^-3*d^-6*c^3 - b^-3*d^-7*c^5 - b^-3*d^-5*c L2[36][76] = b^-3*d^-7*c^4 + b^-3*d^-6*c^2 L2[36][77] = b^-3*d^-6*c^2 + b^-3*d^-7*c^4 L2[36][78] = b^-3*d^-6*c^2 L2[36][79] = b^-3*d^-7*c^3*a + b^-3*d^-6*a*c L2[36][80] = - b^-3*d^-7*c^3 L2[36][83] = - b^-3*d^-6*c L2[36][84] = - b^-3*d^-6*c L2[36][85] = - b^-3*d^-7*c^4*a - 2*b^-3*d^-6*c^2*a L2[36][86] = 2*b^-3*d^-6*c*a + b^-3*d^-7*c^3*a L2[36][87] = b^-3*d^-6*c^2 + b^-3*d^-7*c^4 L2[36][88] = - b^-3*d^-7*c^3 L2[36][89] = - b^-3*d^-6*c - b^-3*d^-7*c^3 L2[36][91] = - b^-3*d^-7*c^2*a - b^-3*d^-6*a L2[36][92] = b^-3*d^-7*c^2 L2[36][95] = b^-3*d^-6 L2[37][25] = d L2[37][37] = c L2[38][43] = 1 L2[39][40] = 1 L2[40][39] = d L2[40][40] = c L2[41][44] = 1 L2[42][45] = 1 L2[43][38] = d L2[43][43] = c L2[44][41] = d L2[44][44] = c L2[45][42] = d L2[45][45] = c L2[46][49] = c^3*d^-3*a*b^-1 L2[46][50] = - c^2*d^-3*a*b^-1 L2[46][51] = - c^3*d^-3*b^-1 L2[46][52] = c^2*d^-3*b^-1 L2[46][53] = c^2*d^-3*b^-1 L2[46][55] = c*d^-3*a*b^-1 L2[46][56] = - c*d^-3*b^-1 L2[46][57] = - d^-3*c*b^-1 L2[46][61] = - 2*c^2*d^-3*a*b^-1 - d^-2*a*b^-1 L2[46][62] = d^-3*c*a*b^-1 L2[46][63] = d^-3*c^2*b^-1 L2[46][65] = - d^-3*c*b^-1 L2[46][66] = - d^-3*c*b^-1 L2[46][69] = - d^-4*c^2*b^-1 L2[46][73] = - d^-5*b^-2*c - d^-5*b^-3*a^2*c L2[46][75] = d^-5*b^-3*c*a L2[46][76] = - d^-5*b^-3*a L2[46][82] = d^-5*b^-3 L2[46][85] = d^-5*b^-3*a^2 L2[46][87] = - d^-5*b^-3*a L2[47][30] = - c*d L2[47][33] = - c^2 L2[47][42] = - c^2 L2[47][45] = - d^-1*c^3 L2[47][61] = - b^-1*c*d^-2 - a^2*b^-2*c*d^-2 L2[47][62] = a^2*b^-2*d^-2 L2[47][63] = b^-2*c*d^-2*a L2[47][65] = - b^-2*d^-2*a L2[47][66] = - a*b^-2*d^-2 L2[47][73] = - b^-3*d^-6*c^4*a - 2*b^-3*d^-5*c^2*a L2[47][74] = b^-3*d^-6*c^3*a + b^-3*d^-5*c*a L2[47][75] = b^-3*d^-6*c^4 + b^-3*d^-5*c^2 L2[47][76] = - b^-3*d^-6*c^3 - b^-3*d^-5*c L2[47][77] = - b^-3*d^-6*c^3 L2[47][78] = - b^-3*d^-5*c L2[47][79] = - b^-3*d^-6*c^2*a L2[47][80] = b^-3*d^-6*c^2 L2[47][84] = b^-3*d^-5 L2[47][85] = b^-3*d^-6*c^3*a + b^-3*d^-5*c*a L2[47][86] = - b^-3*d^-6*c^2*a - b^-3*d^-5*a L2[47][87] = - b^-3*d^-6*c^3 L2[47][88] = b^-3*d^-6*c^2 L2[47][89] = b^-3*d^-6*c^2 L2[47][91] = b^-3*d^-6*c*a L2[47][92] = - b^-3*d^-6*c L2[48][33] = - c^2 L2[48][45] = - d^-1*c^3 L2[48][47] = - c L2[48][50] = - a^2*b^-2*d^-2*c L2[48][51] = - a*b^-2*d^-2*c^2 L2[48][52] = a*b^-2*d^-2*c L2[48][53] = a*b^-2*d^-2*c L2[48][54] = b^-2*d^-2*c*a L2[48][55] = a^2*b^-2*d^-2 L2[48][56] = - a*b^-2*d^-2 L2[48][57] = - a*b^-2*d^-2 L2[48][61] = - a^2*b^-2*d^-2*c - b^-1*d^-2*c L2[48][62] = - a^2*b^-2*c^2*d^-3 L2[48][63] = - a*b^-2*c^3*d^-3 L2[48][64] = a*b^-2*c^2*d^-3 L2[48][65] = a*b^-2*c^2*d^-3 L2[48][66] = b^-2*d^-3*c^2*a L2[48][67] = a^2*b^-2*c*d^-3 L2[48][68] = - a*b^-2*c*d^-3 L2[48][69] = - a*b^-2*d^-3*c L2[48][73] = - 2*b^-3*d^-5*c^2*a - b^-3*d^-6*c^4*a L2[48][74] = 2*b^-3*d^-5*c*a + b^-3*d^-6*c^3*a L2[48][75] = b^-3*d^-5*c^2 + b^-3*d^-6*c^4 L2[48][76] = - b^-3*d^-6*c^3 L2[48][77] = - b^-3*d^-5*c - b^-3*d^-6*c^3 L2[48][79] = - b^-3*d^-6*c^2*a - b^-3*d^-5*a L2[48][80] = b^-3*d^-6*c^2 L2[48][83] = b^-3*d^-5 L2[48][85] = b^-3*d^-6*c^3*a + b^-3*d^-5*a*c L2[48][87] = - b^-3*d^-5*c - b^-3*d^-6*c^3 L2[48][88] = b^-3*d^-6*c^2 L2[48][90] = b^-3*d^-6*c^2 L2[48][96] = - b^-3*d^-6*c L2[49][61] = 1 L2[50][55] = 1 L2[51][52] = 1 L2[52][51] = d L2[52][52] = c L2[53][56] = 1 L2[54][57] = 1 L2[55][50] = d L2[55][55] = c L2[56][53] = d L2[56][56] = c L2[57][54] = d L2[57][57] = c L2[58][22] = d^6*b^3 L2[58][25] = d^4*b^2*a + 2*d^3*b^2*c^2*a + d^2*b^2*c^4*a L2[58][26] = - d^3*b^2*c*a - d^2*b^2*c^3*a L2[58][27] = - d^3*b^2*c^2 - d^2*b^2*c^4 L2[58][28] = d^2*b^2*c^3 L2[58][29] = d^3*b^2*c + d^2*b^2*c^3 L2[58][30] = d^3*b^2*c L2[58][31] = d^2*b^2*c^2*a L2[58][32] = - d^2*b^2*c^2 L2[58][37] = - d^2*b^2*c^3*a L2[58][38] = d^2*b^2*c^2*a L2[58][39] = d^2*b^2*c^3 L2[58][40] = - d^2*b^2*c^2 L2[58][41] = - d^2*b^2*c^2 L2[58][43] = - d^2*b^2*c*a L2[58][44] = d^2*b^2*c L2[58][45] = d^2*b^2*c L2[58][49] = - b*c^2 - a^2*d - a^2*c^2 L2[58][51] = d*a + a*c^2 L2[58][52] = - a*c L2[58][58] = c L2[58][61] = b*c + a^2*c L2[58][63] = - a*c L2[58][64] = a L2[59][11] = d^6*b^3*c L2[59][21] = d^5*b^3*c^2 L2[59][24] = d^6*b^3 L2[59][25] = d^4*b^2*c + d^4*b*a^2*c L2[59][26] = - d^4*b*a^2 L2[59][27] = - d^4*b*a*c L2[59][29] = d^4*b*a L2[59][30] = d^4*b*a L2[59][49] = - c*a*d - 3*c^3*a - c^5*a*d^-1 L2[59][50] = d*a + 2*c^2*a + c^4*a*d^-1 L2[59][51] = 2*c^3 + c^5*d^-1 L2[59][52] = - 2*c^2 - c^4*d^-1 L2[59][53] = - c^2 - c^4*d^-1 L2[59][54] = - c^2 L2[59][55] = - c*a - c^3*a*d^-1 L2[59][56] = c + c^3*d^-1 L2[59][59] = c L2[59][60] = c L2[59][61] = 2*c^2*a + c^4*a*d^-1 L2[59][62] = - c*a - c^3*a*d^-1 L2[59][63] = - c^2 - c^4*d^-1 L2[59][64] = c + c^3*d^-1 L2[59][65] = c^3*d^-1 L2[59][67] = c^2*a*d^-1 L2[59][68] = - c^2*d^-1 L2[60][9] = b^3*d^6*c L2[60][21] = b^3*d^5*c^2 L2[60][23] = b^3*d^6 L2[60][25] = c*b^2*d^4 + a^2*b*d^4*c L2[60][38] = a^2*b*d^3*c L2[60][39] = a*b*d^3*c^2 L2[60][40] = - a*b*d^3*c L2[60][41] = - a*b*d^3*c L2[60][42] = - b*d^3*c*a L2[60][43] = - a^2*b*d^3 L2[60][44] = a*b*d^3 L2[60][45] = a*b*d^3 L2[60][49] = - d*c*a - 3*c^3*a - d^-1*c^5*a L2[60][50] = 2*c^2*a + d^-1*c^4*a L2[60][51] = d*c + 2*c^3 + d^-1*c^5 L2[60][52] = - c^2 - d^-1*c^4 L2[60][53] = - c^2 - d^-1*c^4 L2[60][54] = - c^2 L2[60][55] = - c*a - d^-1*c^3*a L2[60][56] = d^-1*c^3 L2[60][57] = c L2[60][60] = c L2[60][61] = 2*c^2*a + d^-1*c^4*a L2[60][62] = - 2*c*a - d^-1*c^3*a L2[60][63] = - c^2 - d^-1*c^4 L2[60][64] = d^-1*c^3 L2[60][65] = c + d^-1*c^3 L2[60][67] = a + d^-1*c^2*a L2[60][68] = - d^-1*c^2 L2[61][49] = d L2[61][61] = c L2[62][67] = 1 L2[63][64] = 1 L2[64][63] = d L2[64][64] = c L2[65][68] = 1 L2[66][69] = 1 L2[67][62] = d L2[67][67] = c L2[68][65] = d L2[68][68] = c L2[69][66] = d L2[69][69] = c L2[70][10] = d^7*b^3 L2[70][22] = d^6*b^3*c L2[70][25] = - d^3*b^2*c^3*a L2[70][26] = d^3*b^2*c^2*a L2[70][27] = d^3*b^2*c^3 L2[70][28] = - d^3*b^2*c^2 L2[70][29] = - d^3*b^2*c^2 L2[70][31] = - d^3*b^2*c*a L2[70][32] = d^3*b^2*c L2[70][33] = d^3*b^2*c L2[70][37] = d^4*b^2*a + 2*d^3*b^2*c^2*a L2[70][38] = - d^3*b^2*c*a L2[70][39] = - d^3*b^2*c^2 L2[70][41] = d^3*b^2*c L2[70][42] = d^3*b^2*c L2[70][45] = d^2*b^2*c^2 L2[70][49] = d*b*c + d*a^2*c L2[70][51] = - d*a*c L2[70][52] = d*a L2[70][61] = - d*a^2 L2[70][63] = d*a L2[70][70] = c L2[71][9] = d^6*b^3*c^2 L2[71][12] = d^7*b^3 L2[71][21] = d^5*b^3*c^3 L2[71][23] = d^6*b^3*c L2[71][24] = d^6*b^3*c L2[71][37] = d^4*b^2*c + d^4*b*a^2*c L2[71][38] = - d^4*b*a^2 L2[71][39] = - d^4*b*a*c L2[71][41] = d^4*b*a L2[71][42] = d^4*b*a L2[71][49] = 2*d*c^2*a + c^4*a L2[71][50] = - c*a*d - c^3*a L2[71][51] = - d*c^2 - c^4 L2[71][52] = d*c + c^3 L2[71][53] = c^3 L2[71][55] = c^2*a L2[71][56] = - c^2 L2[71][61] = - d*c*a - c^3*a L2[71][62] = d*a + c^2*a L2[71][63] = c^3 L2[71][64] = - c^2 L2[71][65] = - c^2 L2[71][66] = - c^2 L2[71][67] = - c*a L2[71][68] = c L2[71][71] = c L2[71][72] = c L2[72][9] = b^3*d^6*c^2 L2[72][11] = b^3*d^7 L2[72][21] = b^3*d^5*c^3 + b^3*d^6*c L2[72][23] = b^3*d^6*c L2[72][26] = a^2*b*d^4*c L2[72][27] = a*b*d^4*c^2 L2[72][28] = - a*b*d^4*c L2[72][29] = - a*b*d^4*c L2[72][30] = - b*d^4*c*a L2[72][31] = - a^2*b*d^4 L2[72][32] = a*b*d^4 L2[72][33] = a*b*d^4 L2[72][37] = c*b^2*d^4 + a^2*b*d^4*c L2[72][38] = a^2*b*d^3*c^2 L2[72][39] = a*b*d^3*c^3 L2[72][40] = - a*b*d^3*c^2 L2[72][41] = - a*b*d^3*c^2 L2[72][42] = - b*d^3*c^2*a L2[72][43] = - a^2*b*d^3*c L2[72][44] = a*b*d^3*c L2[72][45] = a*b*d^3*c L2[72][49] = 2*c^2*a*d + c^4*a L2[72][50] = - 2*c*a*d - c^3*a L2[72][51] = - c^2*d - c^4 L2[72][52] = c^3 L2[72][53] = c*d + c^3 L2[72][55] = a*d + c^2*a L2[72][56] = - c^2 L2[72][61] = - d*c*a - c^3*a L2[72][63] = d*c + c^3 L2[72][64] = - c^2 L2[72][66] = - c^2 L2[72][69] = c L2[72][72] = c L2[73][85] = 1 L2[74][79] = 1 L2[75][76] = 1 L2[76][75] = d L2[76][76] = c L2[77][80] = 1 L2[78][81] = 1 L2[79][74] = d L2[79][79] = c L2[80][77] = d L2[80][80] = c L2[81][78] = d L2[81][81] = c L2[82][46] = d^6*b^3 L2[82][49] = d^4*b^2*a + 2*d^3*b^2*c^2*a + d^2*b^2*c^4*a L2[82][50] = - d^3*b^2*c*a - d^2*b^2*c^3*a L2[82][51] = - d^3*b^2*c^2 - d^2*b^2*c^4 L2[82][52] = d^2*b^2*c^3 L2[82][53] = d^3*b^2*c + d^2*b^2*c^3 L2[82][54] = d^3*b^2*c L2[82][55] = d^2*b^2*c^2*a L2[82][56] = - d^2*b^2*c^2 L2[82][61] = - d^2*b^2*c^3*a L2[82][62] = d^2*b^2*c^2*a L2[82][63] = d^2*b^2*c^3 L2[82][64] = - d^2*b^2*c^2 L2[82][65] = - d^2*b^2*c^2 L2[82][67] = - d^2*b^2*c*a L2[82][68] = d^2*b^2*c L2[82][69] = d^2*b^2*c L2[82][73] = - b*c^2 - a^2*d - a^2*c^2 L2[82][75] = d*a + a*c^2 L2[82][76] = - a*c L2[82][82] = c L2[82][85] = b*c + a^2*c L2[82][87] = - a*c L2[82][88] = a L2[83][35] = d^6*b^3*c L2[83][45] = d^5*b^3*c^2 L2[83][48] = d^6*b^3 L2[83][49] = d^4*b^2*c + d^4*b*a^2*c L2[83][50] = - d^4*b*a^2 L2[83][51] = - d^4*b*a*c L2[83][53] = d^4*b*a L2[83][54] = d^4*b*a L2[83][73] = - c*a*d - 3*c^3*a - c^5*a*d^-1 L2[83][74] = d*a + 2*c^2*a + c^4*a*d^-1 L2[83][75] = 2*c^3 + c^5*d^-1 L2[83][76] = - 2*c^2 - c^4*d^-1 L2[83][77] = - c^2 - c^4*d^-1 L2[83][78] = - c^2 L2[83][79] = - c*a - c^3*a*d^-1 L2[83][80] = c + c^3*d^-1 L2[83][83] = c L2[83][84] = c L2[83][85] = 2*c^2*a + c^4*a*d^-1 L2[83][86] = - c*a - c^3*a*d^-1 L2[83][87] = - c^2 - c^4*d^-1 L2[83][88] = c + c^3*d^-1 L2[83][89] = c^3*d^-1 L2[83][91] = c^2*a*d^-1 L2[83][92] = - c^2*d^-1 L2[84][33] = b^3*d^6*c L2[84][45] = b^3*d^5*c^2 L2[84][47] = b^3*d^6 L2[84][49] = c*b^2*d^4 + a^2*b*d^4*c L2[84][62] = a^2*b*d^3*c L2[84][63] = a*b*d^3*c^2 L2[84][64] = - a*b*d^3*c L2[84][65] = - a*b*d^3*c L2[84][66] = - b*d^3*c*a L2[84][67] = - a^2*b*d^3 L2[84][68] = a*b*d^3 L2[84][69] = a*b*d^3 L2[84][73] = - d*c*a - 3*c^3*a - d^-1*c^5*a L2[84][74] = 2*c^2*a + d^-1*c^4*a L2[84][75] = d*c + 2*c^3 + d^-1*c^5 L2[84][76] = - c^2 - d^-1*c^4 L2[84][77] = - c^2 - d^-1*c^4 L2[84][78] = - c^2 L2[84][79] = - c*a - d^-1*c^3*a L2[84][80] = d^-1*c^3 L2[84][81] = c L2[84][84] = c L2[84][85] = 2*c^2*a + d^-1*c^4*a L2[84][86] = - 2*c*a - d^-1*c^3*a L2[84][87] = - c^2 - d^-1*c^4 L2[84][88] = d^-1*c^3 L2[84][89] = c + d^-1*c^3 L2[84][91] = a + d^-1*c^2*a L2[84][92] = - d^-1*c^2 L2[85][73] = d L2[85][85] = c L2[86][91] = 1 L2[87][88] = 1 L2[88][87] = d L2[88][88] = c L2[89][92] = 1 L2[90][93] = 1 L2[91][86] = d L2[91][91] = c L2[92][89] = d L2[92][92] = c L2[93][90] = d L2[93][93] = c L2[94][34] = d^7*b^3 L2[94][46] = d^6*b^3*c L2[94][49] = - d^3*b^2*c^3*a L2[94][50] = d^3*b^2*c^2*a L2[94][51] = d^3*b^2*c^3 L2[94][52] = - d^3*b^2*c^2 L2[94][53] = - d^3*b^2*c^2 L2[94][55] = - d^3*b^2*c*a L2[94][56] = d^3*b^2*c L2[94][57] = d^3*b^2*c L2[94][61] = d^4*b^2*a + 2*d^3*b^2*c^2*a L2[94][62] = - d^3*b^2*c*a L2[94][63] = - d^3*b^2*c^2 L2[94][65] = d^3*b^2*c L2[94][66] = d^3*b^2*c L2[94][69] = d^2*b^2*c^2 L2[94][73] = d*b*c + d*a^2*c L2[94][75] = - d*a*c L2[94][76] = d*a L2[94][85] = - d*a^2 L2[94][87] = d*a L2[94][94] = c L2[95][33] = d^6*b^3*c^2 L2[95][36] = d^7*b^3 L2[95][45] = d^5*b^3*c^3 L2[95][47] = d^6*b^3*c L2[95][48] = d^6*b^3*c L2[95][61] = d^4*b^2*c + d^4*b*a^2*c L2[95][62] = - d^4*b*a^2 L2[95][63] = - d^4*b*a*c L2[95][65] = d^4*b*a L2[95][66] = d^4*b*a L2[95][73] = 2*d*c^2*a + c^4*a L2[95][74] = - c*a*d - c^3*a L2[95][75] = - d*c^2 - c^4 L2[95][76] = d*c + c^3 L2[95][77] = c^3 L2[95][79] = c^2*a L2[95][80] = - c^2 L2[95][85] = - d*c*a - c^3*a L2[95][86] = d*a + c^2*a L2[95][87] = c^3 L2[95][88] = - c^2 L2[95][89] = - c^2 L2[95][90] = - c^2 L2[95][91] = - c*a L2[95][92] = c L2[95][95] = c L2[95][96] = c L2[96][33] = b^3*d^6*c^2 L2[96][35] = b^3*d^7 L2[96][45] = b^3*d^5*c^3 + b^3*d^6*c L2[96][47] = b^3*d^6*c L2[96][50] = a^2*b*d^4*c L2[96][51] = a*b*d^4*c^2 L2[96][52] = - a*b*d^4*c L2[96][53] = - a*b*d^4*c L2[96][54] = - b*d^4*c*a L2[96][55] = - a^2*b*d^4 L2[96][56] = a*b*d^4 L2[96][57] = a*b*d^4 L2[96][61] = c*b^2*d^4 + a^2*b*d^4*c L2[96][62] = a^2*b*d^3*c^2 L2[96][63] = a*b*d^3*c^3 L2[96][64] = - a*b*d^3*c^2 L2[96][65] = - a*b*d^3*c^2 L2[96][66] = - b*d^3*c^2*a L2[96][67] = - a^2*b*d^3*c L2[96][68] = a*b*d^3*c L2[96][69] = a*b*d^3*c L2[96][73] = 2*c^2*a*d + c^4*a L2[96][74] = - 2*c*a*d - c^3*a L2[96][75] = - c^2*d - c^4 L2[96][76] = c^3 L2[96][77] = c*d + c^3 L2[96][79] = a*d + c^2*a L2[96][80] = - c^2 L2[96][85] = - d*c*a - c^3*a L2[96][87] = d*c + c^3 L2[96][88] = - c^2 L2[96][90] = - c^2 L2[96][93] = c L2[96][96] = c L3[1][2] = 1 L3[2][1] = d L3[2][2] = c L3[3][6] = 1 L3[4][12] = 1 L3[5][21] = - c*d^-1 L3[5][25] = d^-2*a^2*b^-2 + d^-3*c^2*b^-1 + d^-3*c^2*a^2*b^-2 L3[5][27] = - d^-2*a*b^-2 - d^-3*c^2*b^-2*a L3[5][28] = d^-3*b^-2*c*a L3[5][34] = - d^-3*c*b^-2 L3[5][37] = - d^-3*b^-1*c - d^-3*a^2*b^-2*c L3[5][39] = d^-3*c*b^-2*a L3[5][40] = - d^-3*b^-2*a L3[5][49] = - 2*d^-6*b^-3*c^2*a - d^-7*b^-3*c^4*a - d^-5*b^-3*a L3[5][50] = d^-7*b^-3*c^3*a + d^-6*b^-3*c*a L3[5][51] = d^-7*b^-3*c^4 + d^-6*b^-3*c^2 L3[5][52] = - d^-7*b^-3*c^3 L3[5][53] = - d^-7*b^-3*c^3 - d^-6*b^-3*c L3[5][54] = - d^-6*b^-3*c L3[5][55] = - d^-7*b^-3*c^2*a L3[5][56] = d^-7*b^-3*c^2 L3[5][61] = d^-7*b^-3*c^3*a L3[5][62] = - d^-7*b^-3*c^2*a L3[5][63] = - d^-7*b^-3*c^3 L3[5][64] = d^-7*b^-3*c^2 L3[5][65] = d^-7*b^-3*c^2 L3[5][67] = d^-7*b^-3*c*a L3[5][68] = - d^-7*b^-3*c L3[5][69] = - d^-7*b^-3*c L3[5][73] = d^-9*b^-4*c^2 + d^-8*b^-5*a^2 + d^-9*b^-5*a^2*c^2 L3[5][75] = - d^-8*b^-5*a - d^-9*b^-5*c^2*a L3[5][76] = d^-9*b^-5*a*c L3[5][82] = - d^-9*b^-5*c L3[5][85] = - d^-9*b^-4*c - d^-9*b^-5*a^2*c L3[5][87] = d^-9*b^-5*a*c L3[5][88] = - d^-9*b^-5*a L3[5][94] = d^-9*b^-5 L3[6][3] = d L3[6][6] = c L3[7][9] = - b^-1*a*c L3[7][21] = - a*b^-1 - b^-1*d^-1*a*c^2 L3[7][23] = - b^-1*a L3[7][25] = b^-2*d^-3*c^3*a - b^-3*a^3*d^-2*c L3[7][26] = - b^-2*d^-3*c^2*a L3[7][27] = - b^-2*d^-2*c - b^-2*d^-3*c^3 L3[7][28] = b^-2*d^-3*c^2 L3[7][29] = b^-2*d^-3*c^2 L3[7][31] = b^-2*d^-3*c*a L3[7][32] = - b^-2*d^-3*c L3[7][37] = - b^-2*d^-3*c^2*a L3[7][38] = - b^-3*a^3*c*d^-3 L3[7][39] = - b^-3*a^2*c^2*d^-3 L3[7][40] = b^-3*a^2*d^-3*c L3[7][41] = b^-3*a^2*c*d^-3 L3[7][42] = - b^-2*d^-3*c L3[7][43] = b^-3*a^3*d^-3 L3[7][44] = - b^-3*a^2*d^-3 L3[7][49] = - b^-4*d^-6*c^3*a^2 - a^2*b^-4*d^-5*c - b^-3*d^-5*c - b^-3*d^-6*c^3 L3[7][50] = b^-4*d^-6*c^2*a^2 + b^-3*d^-6*c^2 L3[7][51] = b^-4*d^-6*c^3*a L3[7][52] = - a*b^-4*d^-6*c^2 L3[7][53] = - b^-4*d^-6*c^2*a L3[7][55] = - a^2*b^-4*d^-6*c - b^-3*d^-6*c L3[7][56] = a*b^-4*d^-6*c L3[7][61] = b^-4*d^-6*c^2*a^2 + b^-3*d^-6*c^2 L3[7][62] = - b^-4*d^-6*c*a^2 - b^-3*d^-6*c L3[7][63] = - b^-4*d^-6*c^2*a L3[7][64] = a*b^-4*d^-6*c L3[7][65] = b^-4*d^-6*c*a L3[7][67] = a^2*b^-4*d^-6 + b^-3*d^-6 L3[7][68] = - a*b^-4*d^-6 L3[8][6] = - c^2 L3[8][9] = - a^2*b^-1*c L3[8][12] = c L3[8][15] = c^2 L3[8][16] = - c L3[8][17] = - c L3[8][19] = - a L3[8][20] = 1 L3[8][21] = - c^2*d^-1 - a^2*b^-1 - a^2*b^-1*d^-1*c^2 L3[8][23] = - a^2*b^-1 L3[8][25] = c*d^-2*a^2*b^-2 + c^3*d^-3*b^-1 + 2*c^3*d^-3*a^2*b^-2 - a^4*b^-3*d^-2*c L3[8][26] = - a^2*b^-2*d^-3*c^2 L3[8][27] = - 2*c*d^-2*a*b^-2 - 2*c^3*d^-3*b^-2*a L3[8][28] = 2*c^2*d^-3*b^-2*a L3[8][29] = a*b^-2*d^-3*c^2 L3[8][31] = a^2*b^-2*d^-3*c L3[8][32] = - a*b^-2*d^-3*c L3[8][34] = - c^2*d^-3*b^-2 L3[8][37] = - c^2*d^-3*b^-1 - 2*c^2*d^-3*a^2*b^-2 L3[8][38] = - a^4*b^-3*c*d^-3 L3[8][39] = c^2*d^-3*b^-2*a - a^3*b^-3*c^2*d^-3 L3[8][40] = - c*d^-3*b^-2*a + a^3*b^-3*d^-3*c L3[8][41] = a^3*b^-3*c*d^-3 L3[8][42] = - a*b^-2*d^-3*c L3[8][43] = a^4*b^-3*d^-3 L3[8][44] = - a^3*b^-3*d^-3 L3[8][49] = - 3*c^3*d^-6*b^-3*a - c^5*d^-7*b^-3*a - 2*c*d^-5*b^-3*a - a^3*b^-4*d^-6*c^3 - a^3*b^-4*d^-5*c L3[8][50] = c^4*d^-7*b^-3*a + 2*c^2*d^-6*b^-3*a + a^3*b^-4*d^-6*c^2 L3[8][51] = c^5*d^-7*b^-3 + c^3*d^-6*b^-3 + a^2*b^-4*d^-6*c^3 L3[8][52] = - c^4*d^-7*b^-3 - a^2*b^-4*d^-6*c^2 L3[8][53] = - c^4*d^-7*b^-3 - c^2*d^-6*b^-3 - a^2*b^-4*d^-6*c^2 L3[8][54] = - c^2*d^-6*b^-3 L3[8][55] = - c^3*d^-7*b^-3*a - a^3*b^-4*d^-6*c - a*b^-3*d^-6*c L3[8][56] = c^3*d^-7*b^-3 + a^2*b^-4*d^-6*c L3[8][61] = c^4*d^-7*b^-3*a + a^3*b^-4*d^-6*c^2 + a*b^-3*d^-6*c^2 L3[8][62] = - c^3*d^-7*b^-3*a - a^3*b^-4*d^-6*c - a*b^-3*d^-6*c L3[8][63] = - c^4*d^-7*b^-3 - a^2*b^-4*d^-6*c^2 L3[8][64] = c^3*d^-7*b^-3 + a^2*b^-4*d^-6*c L3[8][65] = c^3*d^-7*b^-3 + a^2*b^-4*d^-6*c L3[8][67] = c^2*d^-7*b^-3*a + a^3*b^-4*d^-6 + a*b^-3*d^-6 L3[8][68] = - c^2*d^-7*b^-3 - a^2*b^-4*d^-6 L3[8][69] = - c^2*d^-7*b^-3 L3[8][73] = c^3*d^-9*b^-4 + c*d^-8*b^-5*a^2 + c^3*d^-9*b^-5*a^2 L3[8][75] = - c*d^-8*b^-5*a - c^3*d^-9*b^-5*a L3[8][76] = c^2*d^-9*b^-5*a L3[8][82] = - c^2*d^-9*b^-5 L3[8][85] = - c^2*d^-9*b^-4 - c^2*d^-9*b^-5*a^2 L3[8][87] = c^2*d^-9*b^-5*a L3[8][88] = - c*d^-9*b^-5*a L3[8][94] = c*d^-9*b^-5 L3[9][9] = c L3[9][11] = - c L3[9][23] = 1 L3[10][25] = - 2*d^-3*a*b^-1*c^2 - c^4*d^-4*a*b^-1 L3[10][26] = d^-3*a*b^-1*c + c^3*d^-4*a*b^-1 L3[10][27] = d^-3*b^-1*c^2 + c^4*d^-4*b^-1 L3[10][28] = - d^-4*b^-1*c^3 L3[10][29] = - d^-3*b^-1*c - c^3*d^-4*b^-1 L3[10][31] = - d^-4*a*b^-1*c^2 L3[10][32] = d^-4*b^-1*c^2 L3[10][37] = d^-4*a*b^-1*c^3 + d^-3*a*b^-1*c L3[10][38] = - d^-3*a*b^-1 - c^2*d^-4*a*b^-1 L3[10][39] = - d^-3*b^-1*c - c^3*d^-4*b^-1 L3[10][40] = d^-4*b^-1*c^2 L3[10][41] = d^-3*b^-1 + c^2*d^-4*b^-1 L3[10][43] = d^-4*a*b^-1*c L3[10][44] = - d^-4*b^-1*c L3[11][21] = 1 L3[12][4] = d L3[12][12] = c L3[13][14] = 1 L3[14][13] = d L3[14][14] = c L3[15][18] = 1 L3[16][24] = 1 L3[17][9] = - c L3[17][21] = - c^2*d^-1 L3[17][25] = - d^-2*b^-1*c - d^-2*a^2*b^-2*c L3[17][27] = d^-2*c*b^-2*a L3[17][28] = - d^-2*b^-2*a L3[17][37] = d^-2*a^2*b^-2 L3[17][39] = - d^-2*a*b^-2 L3[17][46] = - d^-3*c*b^-2 L3[17][49] = d^-6*b^-3*c^3*a L3[17][50] = - d^-6*b^-3*c^2*a L3[17][51] = - d^-6*b^-3*c^3 L3[17][52] = d^-6*b^-3*c^2 L3[17][53] = d^-6*b^-3*c^2 L3[17][55] = d^-6*b^-3*c*a L3[17][56] = - d^-6*b^-3*c L3[17][57] = - d^-6*b^-3*c L3[17][61] = - 2*d^-6*b^-3*c^2*a - d^-5*b^-3*a L3[17][62] = d^-6*b^-3*c*a L3[17][63] = d^-6*b^-3*c^2 L3[17][65] = - d^-6*b^-3*c L3[17][66] = - d^-6*b^-3*c L3[17][69] = - d^-7*b^-3*c^2 L3[17][73] = - d^-8*b^-4*c - d^-8*b^-5*a^2*c L3[17][75] = d^-8*b^-5*c*a L3[17][76] = - d^-8*b^-5*a L3[17][82] = d^-8*b^-5 L3[17][85] = d^-8*b^-5*a^2 L3[17][87] = - d^-8*b^-5*a L3[18][15] = d L3[18][18] = c L3[19][9] = - a*b^-1*d - b^-1*a*c^2 L3[19][11] = - b^-1*a*d L3[19][21] = - 2*a*b^-1*c - b^-1*d^-1*a*c^3 L3[19][23] = - b^-1*a*c L3[19][25] = - b^-2*d^-2*c^2*a L3[19][26] = - b^-3*a^3*d^-2*c L3[19][27] = - b^-3*a^2*d^-2*c^2 L3[19][28] = b^-3*a^2*d^-2*c L3[19][29] = b^-3*a^2*d^-2*c L3[19][30] = - b^-2*d^-2*c L3[19][31] = b^-3*a^3*d^-2 L3[19][32] = - b^-3*a^2*d^-2 L3[19][37] = - b^-3*a^3*d^-2*c L3[19][38] = - b^-2*d^-3*c^2*a - b^-3*a^3*c^2*d^-3 L3[19][39] = - b^-2*d^-2*c - b^-2*d^-3*c^3 - b^-3*a^2*c^3*d^-3 L3[19][40] = b^-2*d^-3*c^2 + b^-3*a^2*c^2*d^-3 L3[19][41] = b^-2*d^-3*c^2 + b^-3*a^2*c^2*d^-3 L3[19][42] = - b^-2*d^-3*c^2 L3[19][43] = b^-2*d^-3*c*a + b^-3*a^3*c*d^-3 L3[19][44] = - b^-2*d^-3*c - b^-3*a^2*c*d^-3 L3[19][49] = b^-4*d^-5*c^2*a^2 + b^-3*d^-5*c^2 L3[19][50] = - b^-4*d^-5*c*a^2 - b^-3*d^-5*c L3[19][51] = - b^-4*d^-5*c^2*a L3[19][52] = a*b^-4*d^-5*c L3[19][53] = b^-4*d^-5*c*a L3[19][55] = a^2*b^-4*d^-5 + b^-3*d^-5 L3[19][56] = - a*b^-4*d^-5 L3[19][61] = - a^2*b^-4*d^-5*c - b^-3*d^-5*c L3[20][3] = c^2*d L3[20][4] = - d*c L3[20][5] = - c*d L3[20][7] = - d*a L3[20][8] = d L3[20][9] = - c^2 - a^2*b^-1*d - a^2*b^-1*c^2 L3[20][11] = - a^2*b^-1*d L3[20][15] = c^3 L3[20][16] = - c^2 L3[20][17] = - c^2 L3[20][18] = - c^2 L3[20][19] = - c*a L3[20][20] = c L3[20][21] = - c^3*d^-1 - 2*a^2*b^-1*c - a^2*b^-1*d^-1*c^3 L3[20][23] = - a^2*b^-1*c L3[20][24] = c L3[20][25] = - c^2*d^-2*b^-1 - 2*c^2*d^-2*a^2*b^-2 L3[20][26] = - a^4*b^-3*d^-2*c L3[20][27] = c^2*d^-2*b^-2*a - a^3*b^-3*d^-2*c^2 L3[20][28] = - c*d^-2*b^-2*a + a^3*b^-3*d^-2*c L3[20][29] = a^3*b^-3*d^-2*c L3[20][30] = - a*b^-2*d^-2*c L3[20][31] = a^4*b^-3*d^-2 L3[20][32] = - a^3*b^-3*d^-2 L3[20][37] = c*d^-2*a^2*b^-2 - a^4*b^-3*d^-2*c L3[20][38] = - a^2*b^-2*d^-3*c^2 - a^4*b^-3*c^2*d^-3 L3[20][39] = - 2*c*d^-2*a*b^-2 - c^3*d^-3*b^-2*a - a^3*b^-3*c^3*d^-3 L3[20][40] = c^2*d^-3*b^-2*a + a^3*b^-3*c^2*d^-3 L3[20][41] = a*b^-2*d^-3*c^2 + a^3*b^-3*c^2*d^-3 L3[20][42] = - a*b^-2*d^-3*c^2 L3[20][43] = a^2*b^-2*d^-3*c + a^4*b^-3*c*d^-3 L3[20][44] = - a*b^-2*d^-3*c - a^3*b^-3*c*d^-3 L3[20][46] = - c^2*d^-3*b^-2 L3[20][49] = c^4*d^-6*b^-3*a + a^3*b^-4*d^-5*c^2 + a*b^-3*d^-5*c^2 L3[20][50] = - c^3*d^-6*b^-3*a - a^3*b^-4*d^-5*c - a*b^-3*d^-5*c L3[20][51] = - c^4*d^-6*b^-3 - a^2*b^-4*d^-5*c^2 L3[20][52] = c^3*d^-6*b^-3 + a^2*b^-4*d^-5*c L3[20][53] = c^3*d^-6*b^-3 + a^2*b^-4*d^-5*c L3[20][55] = c^2*d^-6*b^-3*a + a^3*b^-4*d^-5 + a*b^-3*d^-5 L3[20][56] = - c^2*d^-6*b^-3 - a^2*b^-4*d^-5 L3[20][57] = - c^2*d^-6*b^-3 L3[20][61] = - 2*c^3*d^-6*b^-3*a - 2*c*d^-5*b^-3*a - a^3*b^-4*d^-5*c L3[20][62] = c^2*d^-6*b^-3*a L3[20][63] = c^3*d^-6*b^-3 L3[20][65] = - c^2*d^-6*b^-3 L3[20][66] = - c^2*d^-6*b^-3 L3[20][69] = - c^3*d^-7*b^-3 L3[20][73] = - c^2*d^-8*b^-4 - c^2*d^-8*b^-5*a^2 L3[20][75] = c^2*d^-8*b^-5*a L3[20][76] = - c*d^-8*b^-5*a L3[20][82] = c*d^-8*b^-5 L3[20][85] = c*d^-8*b^-5*a^2 L3[20][87] = - c*d^-8*b^-5*a L3[21][11] = d L3[21][21] = c L3[22][25] = d^-2*a*b^-1*c + c^3*d^-3*a*b^-1 L3[22][26] = - d^-2*a*b^-1 - c^2*d^-3*a*b^-1 L3[22][27] = - d^-2*b^-1*c - c^3*d^-3*b^-1 L3[22][28] = d^-3*b^-1*c^2 L3[22][29] = d^-2*b^-1 + c^2*d^-3*b^-1 L3[22][31] = d^-3*a*b^-1*c L3[22][32] = - d^-3*b^-1*c L3[22][37] = - d^-3*a*b^-1*c^2 L3[23][9] = d L3[23][21] = c L3[24][16] = d L3[24][24] = c L3[25][26] = 1 L3[26][25] = d L3[26][26] = c L3[27][30] = 1 L3[28][36] = 1 L3[29][22] = d^3*b L3[29][25] = d*a + 2*c^2*a + d^-1*c^4*a L3[29][26] = - c*a - d^-1*c^3*a L3[29][27] = - c^2 - d^-1*c^4 L3[29][28] = d^-1*c^3 L3[29][29] = c + d^-1*c^3 L3[29][30] = c L3[29][31] = d^-1*c^2*a L3[29][32] = - d^-1*c^2 L3[29][37] = - d^-1*c^3*a L3[29][38] = d^-1*c^2*a L3[29][39] = d^-1*c^3 L3[29][40] = - d^-1*c^2 L3[29][41] = - d^-1*c^2 L3[29][43] = - d^-1*c*a L3[29][44] = d^-1*c L3[30][27] = d L3[30][30] = c L3[31][33] = - b^-1*a*c L3[31][45] = - a*b^-1 - b^-1*d^-1*a*c^2 L3[31][47] = - b^-1*a L3[31][49] = b^-2*d^-3*c^3*a - b^-3*a^3*d^-2*c L3[31][50] = - b^-2*d^-3*c^2*a L3[31][51] = - b^-2*d^-2*c - b^-2*d^-3*c^3 L3[31][52] = b^-2*d^-3*c^2 L3[31][53] = b^-2*d^-3*c^2 L3[31][55] = b^-2*d^-3*c*a L3[31][56] = - b^-2*d^-3*c L3[31][61] = - b^-2*d^-3*c^2*a L3[31][62] = - b^-3*a^3*c*d^-3 L3[31][63] = - b^-3*a^2*c^2*d^-3 L3[31][64] = b^-3*a^2*d^-3*c L3[31][65] = b^-3*a^2*c*d^-3 L3[31][66] = - b^-2*d^-3*c L3[31][67] = b^-3*a^3*d^-3 L3[31][68] = - b^-3*a^2*d^-3 L3[31][73] = - b^-4*d^-6*c^3*a^2 - a^2*b^-4*d^-5*c - b^-3*d^-5*c - b^-3*d^-6*c^3 L3[31][74] = b^-4*d^-6*c^2*a^2 + b^-3*d^-6*c^2 L3[31][75] = b^-4*d^-6*c^3*a L3[31][76] = - a*b^-4*d^-6*c^2 L3[31][77] = - b^-4*d^-6*c^2*a L3[31][79] = - a^2*b^-4*d^-6*c - b^-3*d^-6*c L3[31][80] = a*b^-4*d^-6*c L3[31][85] = b^-4*d^-6*c^2*a^2 + b^-3*d^-6*c^2 L3[31][86] = - b^-4*d^-6*c*a^2 - b^-3*d^-6*c L3[31][87] = - b^-4*d^-6*c^2*a L3[31][88] = a*b^-4*d^-6*c L3[31][89] = b^-4*d^-6*c*a L3[31][91] = a^2*b^-4*d^-6 + b^-3*d^-6 L3[31][92] = - a*b^-4*d^-6 L3[32][22] = c*d^3*b L3[32][25] = c*d*a + 2*c^3*a + c^5*d^-1*a L3[32][26] = - c^2*a - c^4*d^-1*a L3[32][27] = - c^3 - c^5*d^-1 L3[32][28] = c^4*d^-1 L3[32][29] = c^2 + c^4*d^-1 L3[32][31] = c^3*d^-1*a L3[32][32] = - c^3*d^-1 L3[32][33] = - a^2*b^-1*c L3[32][36] = c L3[32][37] = - c^4*d^-1*a L3[32][38] = c^3*d^-1*a L3[32][39] = c^4*d^-1 + c^2 L3[32][40] = - c^3*d^-1 - c L3[32][41] = - c^3*d^-1 - c L3[32][43] = - c^2*d^-1*a - a L3[32][44] = c^2*d^-1 + 1 L3[32][45] = - a^2*b^-1 - a^2*b^-1*d^-1*c^2 L3[32][47] = - a^2*b^-1 L3[32][49] = a^2*b^-2*d^-3*c^3 - a^4*b^-3*d^-2*c L3[32][50] = - a^2*b^-2*d^-3*c^2 L3[32][51] = - a*b^-2*d^-2*c - a*b^-2*d^-3*c^3 L3[32][52] = a*b^-2*d^-3*c^2 L3[32][53] = a*b^-2*d^-3*c^2 L3[32][55] = a^2*b^-2*d^-3*c L3[32][56] = - a*b^-2*d^-3*c L3[32][61] = - a^2*b^-2*d^-3*c^2 L3[32][62] = - a^4*b^-3*c*d^-3 L3[32][63] = - a^3*b^-3*c^2*d^-3 L3[32][64] = a^3*b^-3*d^-3*c L3[32][65] = a^3*b^-3*c*d^-3 L3[32][66] = - a*b^-2*d^-3*c L3[32][67] = a^4*b^-3*d^-3 L3[32][68] = - a^3*b^-3*d^-3 L3[32][73] = - a^3*b^-4*d^-6*c^3 - a^3*b^-4*d^-5*c - a*b^-3*d^-5*c - a*b^-3*d^-6*c^3 L3[32][74] = a^3*b^-4*d^-6*c^2 + a*b^-3*d^-6*c^2 L3[32][75] = a^2*b^-4*d^-6*c^3 L3[32][76] = - a^2*b^-4*d^-6*c^2 L3[32][77] = - a^2*b^-4*d^-6*c^2 L3[32][79] = - a^3*b^-4*d^-6*c - a*b^-3*d^-6*c L3[32][80] = a^2*b^-4*d^-6*c L3[32][85] = a^3*b^-4*d^-6*c^2 + a*b^-3*d^-6*c^2 L3[32][86] = - a^3*b^-4*d^-6*c - a*b^-3*d^-6*c L3[32][87] = - a^2*b^-4*d^-6*c^2 L3[32][88] = a^2*b^-4*d^-6*c L3[32][89] = a^2*b^-4*d^-6*c L3[32][91] = a^3*b^-4*d^-6 + a*b^-3*d^-6 L3[32][92] = - a^2*b^-4*d^-6 L3[33][33] = c L3[33][35] = - c L3[33][47] = 1 L3[34][49] = - 2*d^-3*a*b^-1*c^2 - c^4*d^-4*a*b^-1 L3[34][50] = d^-3*a*b^-1*c + c^3*d^-4*a*b^-1 L3[34][51] = d^-3*b^-1*c^2 + c^4*d^-4*b^-1 L3[34][52] = - d^-4*b^-1*c^3 L3[34][53] = - d^-3*b^-1*c - c^3*d^-4*b^-1 L3[34][55] = - d^-4*a*b^-1*c^2 L3[34][56] = d^-4*b^-1*c^2 L3[34][61] = d^-4*a*b^-1*c^3 + d^-3*a*b^-1*c L3[34][62] = - d^-3*a*b^-1 - c^2*d^-4*a*b^-1 L3[34][63] = - d^-3*b^-1*c - c^3*d^-4*b^-1 L3[34][64] = d^-4*b^-1*c^2 L3[34][65] = d^-3*b^-1 + c^2*d^-4*b^-1 L3[34][67] = d^-4*a*b^-1*c L3[34][68] = - d^-4*b^-1*c L3[35][45] = 1 L3[36][28] = d L3[36][36] = c L3[37][38] = 1 L3[38][37] = d L3[38][38] = c L3[39][42] = 1 L3[40][48] = 1 L3[41][10] = d^4*b L3[41][22] = d^3*b*c L3[41][25] = - c^3*a L3[41][26] = c^2*a L3[41][27] = c^3 L3[41][28] = - c^2 L3[41][29] = - c^2 L3[41][31] = - c*a L3[41][32] = c L3[41][37] = d*a + 2*c^2*a L3[41][38] = - c*a L3[41][39] = - c^2 L3[41][41] = c L3[41][42] = c L3[42][39] = d L3[42][42] = c L3[43][33] = - a*b^-1*d - b^-1*a*c^2 L3[43][35] = - b^-1*a*d L3[43][45] = - 2*a*b^-1*c - b^-1*d^-1*a*c^3 L3[43][47] = - b^-1*a*c L3[43][49] = - b^-2*d^-2*c^2*a L3[43][50] = - b^-3*a^3*d^-2*c L3[43][51] = - b^-3*a^2*d^-2*c^2 L3[43][52] = b^-3*a^2*d^-2*c L3[43][53] = b^-3*a^2*d^-2*c L3[43][54] = - b^-2*d^-2*c L3[43][55] = b^-3*a^3*d^-2 L3[43][56] = - b^-3*a^2*d^-2 L3[43][61] = - b^-3*a^3*d^-2*c L3[43][62] = - b^-2*d^-3*c^2*a - b^-3*a^3*c^2*d^-3 L3[43][63] = - b^-2*d^-2*c - b^-2*d^-3*c^3 - b^-3*a^2*c^3*d^-3 L3[43][64] = b^-2*d^-3*c^2 + b^-3*a^2*c^2*d^-3 L3[43][65] = b^-2*d^-3*c^2 + b^-3*a^2*c^2*d^-3 L3[43][66] = - b^-2*d^-3*c^2 L3[43][67] = b^-2*d^-3*c*a + b^-3*a^3*c*d^-3 L3[43][68] = - b^-2*d^-3*c - b^-3*a^2*c*d^-3 L3[43][73] = b^-4*d^-5*c^2*a^2 + b^-3*d^-5*c^2 L3[43][74] = - b^-4*d^-5*c*a^2 - b^-3*d^-5*c L3[43][75] = - b^-4*d^-5*c^2*a L3[43][76] = a*b^-4*d^-5*c L3[43][77] = b^-4*d^-5*c*a L3[43][79] = a^2*b^-4*d^-5 + b^-3*d^-5 L3[43][80] = - a*b^-4*d^-5 L3[43][85] = - a^2*b^-4*d^-5*c - b^-3*d^-5*c L3[44][10] = c*d^4*b L3[44][22] = c^2*d^3*b L3[44][25] = - c^4*a L3[44][26] = c^3*a L3[44][27] = c^4 + c^2*d L3[44][28] = - c^3 - d*c L3[44][29] = - c^3 - c*d L3[44][31] = - c^2*a - d*a L3[44][32] = c^2 + d L3[44][33] = - a^2*b^-1*d - a^2*b^-1*c^2 L3[44][35] = - a^2*b^-1*d L3[44][37] = c*d*a + 2*c^3*a L3[44][38] = - c^2*a L3[44][40] = - c^2 L3[44][43] = - c*a L3[44][44] = c L3[44][45] = - 2*a^2*b^-1*c - a^2*b^-1*d^-1*c^3 L3[44][47] = - a^2*b^-1*c L3[44][48] = c L3[44][49] = - a^2*b^-2*d^-2*c^2 L3[44][50] = - a^4*b^-3*d^-2*c L3[44][51] = - a^3*b^-3*d^-2*c^2 L3[44][52] = a^3*b^-3*d^-2*c L3[44][53] = a^3*b^-3*d^-2*c L3[44][54] = - a*b^-2*d^-2*c L3[44][55] = a^4*b^-3*d^-2 L3[44][56] = - a^3*b^-3*d^-2 L3[44][61] = - a^4*b^-3*d^-2*c L3[44][62] = - a^2*b^-2*d^-3*c^2 - a^4*b^-3*c^2*d^-3 L3[44][63] = - a*b^-2*d^-2*c - a*b^-2*d^-3*c^3 - a^3*b^-3*c^3*d^-3 L3[44][64] = a*b^-2*d^-3*c^2 + a^3*b^-3*c^2*d^-3 L3[44][65] = a*b^-2*d^-3*c^2 + a^3*b^-3*c^2*d^-3 L3[44][66] = - a*b^-2*d^-3*c^2 L3[44][67] = a^2*b^-2*d^-3*c + a^4*b^-3*c*d^-3 L3[44][68] = - a*b^-2*d^-3*c - a^3*b^-3*c*d^-3 L3[44][73] = a^3*b^-4*d^-5*c^2 + a*b^-3*d^-5*c^2 L3[44][74] = - a^3*b^-4*d^-5*c - a*b^-3*d^-5*c L3[44][75] = - a^2*b^-4*d^-5*c^2 L3[44][76] = a^2*b^-4*d^-5*c L3[44][77] = a^2*b^-4*d^-5*c L3[44][79] = a^3*b^-4*d^-5 + a*b^-3*d^-5 L3[44][80] = - a^2*b^-4*d^-5 L3[44][85] = - a^3*b^-4*d^-5*c - a*b^-3*d^-5*c L3[45][35] = d L3[45][45] = c L3[46][49] = d^-2*a*b^-1*c + c^3*d^-3*a*b^-1 L3[46][50] = - d^-2*a*b^-1 - c^2*d^-3*a*b^-1 L3[46][51] = - d^-2*b^-1*c - c^3*d^-3*b^-1 L3[46][52] = d^-3*b^-1*c^2 L3[46][53] = d^-2*b^-1 + c^2*d^-3*b^-1 L3[46][55] = d^-3*a*b^-1*c L3[46][56] = - d^-3*b^-1*c L3[46][61] = - d^-3*a*b^-1*c^2 L3[47][33] = d L3[47][45] = c L3[48][40] = d L3[48][48] = c L3[49][50] = 1 L3[50][49] = d L3[50][50] = c L3[51][54] = 1 L3[52][60] = 1 L3[53][46] = d^3*b L3[53][49] = d*a + 2*c^2*a + d^-1*c^4*a L3[53][50] = - c*a - d^-1*c^3*a L3[53][51] = - c^2 - d^-1*c^4 L3[53][52] = d^-1*c^3 L3[53][53] = c + d^-1*c^3 L3[53][54] = c L3[53][55] = d^-1*c^2*a L3[53][56] = - d^-1*c^2 L3[53][61] = - d^-1*c^3*a L3[53][62] = d^-1*c^2*a L3[53][63] = d^-1*c^3 L3[53][64] = - d^-1*c^2 L3[53][65] = - d^-1*c^2 L3[53][67] = - d^-1*c*a L3[53][68] = d^-1*c L3[54][51] = d L3[54][54] = c L3[55][9] = d^6*c*a*b^2 L3[55][19] = b^3*d^6 L3[55][21] = d^5*c^2*a*b^2 + a*d^6*b^2 L3[55][23] = b^2*d^6*a L3[55][25] = - d^3*c^3*a*b + a^3*d^4*c L3[55][26] = d^3*c^2*a*b L3[55][27] = b*d^4*c + d^3*c^3*b L3[55][28] = - d^3*c^2*b L3[55][29] = - d^3*c^2*b L3[55][31] = - d^3*c*a*b L3[55][32] = d^3*c*b L3[55][37] = d^3*c^2*a*b L3[55][38] = a^3*d^3*c L3[55][39] = d^3*c^2*a^2 L3[55][40] = - a^2*d^3*c L3[55][41] = - a^2*d^3*c L3[55][42] = b*d^3*c L3[55][43] = - a^3*d^3 L3[55][44] = a^2*d^3 L3[55][49] = c*d + c^3 + a^2*b^-1*c*d + a^2*c^3*b^-1 L3[55][50] = - c^2 - a^2*c^2*b^-1 L3[55][51] = - a*c^3*b^-1 L3[55][52] = a*b^-1*c^2 L3[55][53] = a*c^2*b^-1 L3[55][55] = c + a^2*b^-1*c L3[55][56] = - a*b^-1*c L3[55][61] = - c^2 - a^2*b^-1*c^2 L3[55][62] = c + a^2*c*b^-1 L3[55][63] = a*c^2*b^-1 L3[55][64] = - a*b^-1*c L3[55][65] = - a*c*b^-1 L3[55][67] = - a^2*b^-1 L3[55][68] = a*b^-1 L3[56][9] = a^2*d^6*c*b^2 L3[56][19] = a*b^3*d^6 L3[56][21] = a^2*d^5*c^2*b^2 + a^2*d^6*b^2 L3[56][23] = a^2*b^2*d^6 L3[56][25] = - a^2*d^3*c^3*b + a^4*d^4*c L3[56][26] = a^2*d^3*c^2*b L3[56][27] = a*b*d^4*c + a*d^3*c^3*b L3[56][28] = - a*d^3*c^2*b L3[56][29] = - a*d^3*c^2*b L3[56][31] = - a^2*d^3*c*b L3[56][32] = a*d^3*c*b L3[56][37] = a^2*d^3*c^2*b L3[56][38] = a^4*d^3*c L3[56][39] = a^3*d^3*c^2 L3[56][40] = - a^3*d^3*c L3[56][41] = - a^3*d^3*c L3[56][42] = a*b*d^3*c L3[56][43] = - a^4*d^3 L3[56][44] = a^3*d^3 L3[56][46] = c*d^3*b L3[56][49] = 2*c*d*a + 3*c^3*a + c^5*d^-1*a + a^3*b^-1*c*d + a^3*c^3*b^-1 L3[56][50] = - 2*c^2*a - c^4*d^-1*a - a^3*c^2*b^-1 L3[56][51] = - c^3 - c^5*d^-1 - a^2*c^3*b^-1 L3[56][52] = c^4*d^-1 + a^2*b^-1*c^2 L3[56][53] = c^2 + c^4*d^-1 + a^2*c^2*b^-1 L3[56][55] = c^3*d^-1*a + a*c + a^3*b^-1*c L3[56][56] = - c^3*d^-1 - a^2*b^-1*c L3[56][60] = c L3[56][61] = - c^4*d^-1*a - a*c^2 - a^3*b^-1*c^2 L3[56][62] = c^3*d^-1*a + a*c + a^3*c*b^-1 L3[56][63] = c^4*d^-1 + a^2*c^2*b^-1 + c^2 L3[56][64] = - c^3*d^-1 - a^2*b^-1*c - c L3[56][65] = - c^3*d^-1 - a^2*c*b^-1 - c L3[56][67] = - c^2*d^-1*a - a^3*b^-1 - a L3[56][68] = c^2*d^-1 + a^2*b^-1 + 1 L3[57][57] = c L3[57][59] = - c L3[57][71] = 1 L3[58][73] = - 2*d^-3*a*b^-1*c^2 - c^4*d^-4*a*b^-1 L3[58][74] = d^-3*a*b^-1*c + c^3*d^-4*a*b^-1 L3[58][75] = d^-3*b^-1*c^2 + c^4*d^-4*b^-1 L3[58][76] = - d^-4*b^-1*c^3 L3[58][77] = - d^-3*b^-1*c - c^3*d^-4*b^-1 L3[58][79] = - d^-4*a*b^-1*c^2 L3[58][80] = d^-4*b^-1*c^2 L3[58][85] = d^-4*a*b^-1*c^3 + d^-3*a*b^-1*c L3[58][86] = - d^-3*a*b^-1 - c^2*d^-4*a*b^-1 L3[58][87] = - d^-3*b^-1*c - c^3*d^-4*b^-1 L3[58][88] = d^-4*b^-1*c^2 L3[58][89] = d^-3*b^-1 + c^2*d^-4*b^-1 L3[58][91] = d^-4*a*b^-1*c L3[58][92] = - d^-4*b^-1*c L3[59][69] = 1 L3[60][52] = d L3[60][60] = c L3[61][62] = 1 L3[62][61] = d L3[62][62] = c L3[63][66] = 1 L3[64][72] = 1 L3[65][34] = d^4*b L3[65][46] = d^3*b*c L3[65][49] = - c^3*a L3[65][50] = c^2*a L3[65][51] = c^3 L3[65][52] = - c^2 L3[65][53] = - c^2 L3[65][55] = - c*a L3[65][56] = c L3[65][61] = d*a + 2*c^2*a L3[65][62] = - c*a L3[65][63] = - c^2 L3[65][65] = c L3[65][66] = c L3[66][63] = d L3[66][66] = c L3[67][7] = b^3*d^7 L3[67][9] = d^6*c^2*a*b^2 + a*d^7*b^2 L3[67][11] = b^2*d^7*a L3[67][19] = b^3*d^6*c L3[67][21] = d^5*c^3*a*b^2 + 2*d^6*c*a*b^2 L3[67][23] = b^2*d^6*a*c L3[67][25] = d^4*c^2*a*b L3[67][26] = a^3*d^4*c L3[67][27] = d^4*c^2*a^2 L3[67][28] = - a^2*d^4*c L3[67][29] = - a^2*d^4*c L3[67][30] = b*d^4*c L3[67][31] = - a^3*d^4 L3[67][32] = a^2*d^4 L3[67][37] = a^3*d^4*c L3[67][38] = d^3*c^2*a*b + d^3*c^2*a^3 L3[67][39] = b*d^4*c + d^3*c^3*a^2 + d^3*c^3*b L3[67][40] = - d^3*c^2*a^2 - d^3*c^2*b L3[67][41] = - d^3*c^2*a^2 - d^3*c^2*b L3[67][42] = b*d^3*c^2 L3[67][43] = - d^3*c*a^3 - d^3*c*a*b L3[67][44] = d^3*c*a^2 + d^3*c*b L3[67][49] = - c^2*d - a^2*d*c^2*b^-1 L3[67][50] = c*d + a^2*d*c*b^-1 L3[67][51] = a*d*c^2*b^-1 L3[67][52] = - a*d*b^-1*c L3[67][53] = - a*d*c*b^-1 L3[67][55] = - a^2*d*b^-1 L3[67][56] = a*d*b^-1 L3[67][61] = c*d + a^2*d*b^-1*c L3[67][67] = c L3[68][7] = a*b^3*d^7 L3[68][9] = a^2*d^6*c^2*b^2 + a^2*d^7*b^2 L3[68][11] = a^2*b^2*d^7 L3[68][19] = a*b^3*d^6*c L3[68][21] = a^2*d^5*c^3*b^2 + 2*a^2*d^6*c*b^2 L3[68][23] = a^2*b^2*d^6*c L3[68][25] = a^2*d^4*c^2*b L3[68][26] = a^4*d^4*c L3[68][27] = a^3*d^4*c^2 L3[68][28] = - a^3*d^4*c L3[68][29] = - a^3*d^4*c L3[68][30] = a*b*d^4*c L3[68][31] = - a^4*d^4 L3[68][32] = a^3*d^4 L3[68][34] = c*d^4*b L3[68][37] = a^4*d^4*c L3[68][38] = a^2*d^3*c^2*b + a^4*d^3*c^2 L3[68][39] = a*b*d^4*c + a^3*d^3*c^3 + a*d^3*c^3*b L3[68][40] = - a^3*d^3*c^2 - a*d^3*c^2*b L3[68][41] = - a^3*d^3*c^2 - a*d^3*c^2*b L3[68][42] = a*b*d^3*c^2 L3[68][43] = - a^4*d^3*c - a^2*d^3*c*b L3[68][44] = a^3*d^3*c + a*d^3*c*b L3[68][46] = c^2*d^3*b L3[68][49] = - c^4*a - a*c^2*d - a^3*d*c^2*b^-1 L3[68][50] = c^3*a + a*c*d + a^3*d*c*b^-1 L3[68][51] = c^4 + a^2*d*c^2*b^-1 + c^2*d L3[68][52] = - c^3 - a^2*d*b^-1*c - d*c L3[68][53] = - c^3 - a^2*d*c*b^-1 - c*d L3[68][55] = - c^2*a - a^3*d*b^-1 - d*a L3[68][56] = c^2 + a^2*d*b^-1 + d L3[68][61] = 2*c*d*a + 2*c^3*a + a^3*d*b^-1*c L3[68][62] = - c^2*a L3[68][64] = - c^2 L3[68][68] = c L3[68][72] = c L3[69][59] = d L3[69][69] = c L3[70][73] = d^-2*a*b^-1*c + c^3*d^-3*a*b^-1 L3[70][74] = - d^-2*a*b^-1 - c^2*d^-3*a*b^-1 L3[70][75] = - d^-2*b^-1*c - c^3*d^-3*b^-1 L3[70][76] = d^-3*b^-1*c^2 L3[70][77] = d^-2*b^-1 + c^2*d^-3*b^-1 L3[70][79] = d^-3*a*b^-1*c L3[70][80] = - d^-3*b^-1*c L3[70][85] = - d^-3*a*b^-1*c^2 L3[71][57] = d L3[71][69] = c L3[72][64] = d L3[72][72] = c L3[73][74] = 1 L3[74][73] = d L3[74][74] = c L3[75][78] = 1 L3[76][84] = 1 L3[77][70] = d^3*b L3[77][73] = d*a + 2*c^2*a + d^-1*c^4*a L3[77][74] = - c*a - d^-1*c^3*a L3[77][75] = - c^2 - d^-1*c^4 L3[77][76] = d^-1*c^3 L3[77][77] = c + d^-1*c^3 L3[77][78] = c L3[77][79] = d^-1*c^2*a L3[77][80] = - d^-1*c^2 L3[77][85] = - d^-1*c^3*a L3[77][86] = d^-1*c^2*a L3[77][87] = d^-1*c^3 L3[77][88] = - d^-1*c^2 L3[77][89] = - d^-1*c^2 L3[77][91] = - d^-1*c*a L3[77][92] = d^-1*c L3[78][75] = d L3[78][78] = c L3[79][33] = d^6*c*a*b^2 L3[79][43] = b^3*d^6 L3[79][45] = d^5*c^2*a*b^2 + a*d^6*b^2 L3[79][47] = b^2*d^6*a L3[79][49] = - d^3*c^3*a*b + a^3*d^4*c L3[79][50] = d^3*c^2*a*b L3[79][51] = b*d^4*c + d^3*c^3*b L3[79][52] = - d^3*c^2*b L3[79][53] = - d^3*c^2*b L3[79][55] = - d^3*c*a*b L3[79][56] = d^3*c*b L3[79][61] = d^3*c^2*a*b L3[79][62] = a^3*d^3*c L3[79][63] = d^3*c^2*a^2 L3[79][64] = - a^2*d^3*c L3[79][65] = - a^2*d^3*c L3[79][66] = b*d^3*c L3[79][67] = - a^3*d^3 L3[79][68] = a^2*d^3 L3[79][73] = c*d + c^3 + a^2*b^-1*c*d + a^2*c^3*b^-1 L3[79][74] = - c^2 - a^2*c^2*b^-1 L3[79][75] = - a*c^3*b^-1 L3[79][76] = a*b^-1*c^2 L3[79][77] = a*c^2*b^-1 L3[79][79] = c + a^2*b^-1*c L3[79][80] = - a*b^-1*c L3[79][85] = - c^2 - a^2*b^-1*c^2 L3[79][86] = c + a^2*c*b^-1 L3[79][87] = a*c^2*b^-1 L3[79][88] = - a*b^-1*c L3[79][89] = - a*c*b^-1 L3[79][91] = - a^2*b^-1 L3[79][92] = a*b^-1 L3[80][33] = a^2*d^6*c*b^2 L3[80][43] = a*b^3*d^6 L3[80][45] = a^2*d^5*c^2*b^2 + a^2*d^6*b^2 L3[80][47] = a^2*b^2*d^6 L3[80][49] = - a^2*d^3*c^3*b + a^4*d^4*c L3[80][50] = a^2*d^3*c^2*b L3[80][51] = a*b*d^4*c + a*d^3*c^3*b L3[80][52] = - a*d^3*c^2*b L3[80][53] = - a*d^3*c^2*b L3[80][55] = - a^2*d^3*c*b L3[80][56] = a*d^3*c*b L3[80][61] = a^2*d^3*c^2*b L3[80][62] = a^4*d^3*c L3[80][63] = a^3*d^3*c^2 L3[80][64] = - a^3*d^3*c L3[80][65] = - a^3*d^3*c L3[80][66] = a*b*d^3*c L3[80][67] = - a^4*d^3 L3[80][68] = a^3*d^3 L3[80][70] = c*d^3*b L3[80][73] = 2*c*d*a + 3*c^3*a + c^5*d^-1*a + a^3*b^-1*c*d + a^3*c^3*b^-1 L3[80][74] = - 2*c^2*a - c^4*d^-1*a - a^3*c^2*b^-1 L3[80][75] = - c^3 - c^5*d^-1 - a^2*c^3*b^-1 L3[80][76] = c^4*d^-1 + a^2*b^-1*c^2 L3[80][77] = c^2 + c^4*d^-1 + a^2*c^2*b^-1 L3[80][79] = c^3*d^-1*a + a*c + a^3*b^-1*c L3[80][80] = - c^3*d^-1 - a^2*b^-1*c L3[80][84] = c L3[80][85] = - c^4*d^-1*a - a*c^2 - a^3*b^-1*c^2 L3[80][86] = c^3*d^-1*a + a*c + a^3*c*b^-1 L3[80][87] = c^4*d^-1 + a^2*c^2*b^-1 + c^2 L3[80][88] = - c^3*d^-1 - a^2*b^-1*c - c L3[80][89] = - c^3*d^-1 - a^2*c*b^-1 - c L3[80][91] = - c^2*d^-1*a - a^3*b^-1 - a L3[80][92] = c^2*d^-1 + a^2*b^-1 + 1 L3[81][81] = c L3[81][83] = - c L3[81][95] = 1 L3[82][17] = b^5*d^9 L3[82][23] = b^5*d^8*c L3[82][25] = - c^2*b^4*d^6 - b^3*d^6*a^2*c^2 L3[82][26] = c*b^4*d^6 + b^3*d^6*a^2*c L3[82][27] = b^3*d^6*c^2*a L3[82][28] = - b^3*d^6*a*c L3[82][30] = - b^3*d^6*a*c L3[82][34] = c*b^3*d^6 L3[82][36] = b^3*d^6*a L3[82][37] = b^3*d^6*a^2*c L3[82][38] = - b^3*d^6*a^2 L3[82][39] = - c*a*b^3*d^6 L3[82][42] = b^3*d^6*a L3[82][49] = 2*b^2*d^3*c^2*a + b^2*d^2*c^4*a L3[82][50] = - b^2*d^2*c^3*a - b^2*d^3*a*c L3[82][51] = - b^2*d^2*c^4 - b^2*d^3*c^2 L3[82][52] = b^2*d^2*c^3 L3[82][53] = b^2*d^3*c + b^2*d^2*c^3 L3[82][55] = b^2*d^2*c^2*a L3[82][56] = - b^2*d^2*c^2 L3[82][61] = - b^2*d^2*c^3*a - b^2*d^3*a*c L3[82][62] = b^2*d^2*c^2*a + b^2*d^3*a L3[82][63] = b^2*d^3*c + b^2*d^2*c^3 L3[82][64] = - b^2*d^2*c^2 L3[82][65] = - b^2*d^2*c^2 L3[82][67] = - b^2*d^2*c*a L3[82][68] = b^2*d^2*c L3[82][71] = b^2*d^2*c L3[82][73] = - b*c^2 - a^2*c^2 L3[82][74] = b*c + a^2*c L3[82][75] = a*c^2 L3[82][76] = - a*c L3[82][78] = - a*c L3[82][82] = c L3[82][84] = a L3[82][85] = a^2*c L3[82][86] = - a^2 L3[82][87] = - a*c L3[82][90] = a L3[83][93] = 1 L3[84][76] = d L3[84][84] = c L3[85][86] = 1 L3[86][85] = d L3[86][86] = c L3[87][90] = 1 L3[88][96] = 1 L3[89][58] = d^4*b L3[89][70] = d^3*b*c L3[89][73] = - c^3*a L3[89][74] = c^2*a L3[89][75] = c^3 L3[89][76] = - c^2 L3[89][77] = - c^2 L3[89][79] = - c*a L3[89][80] = c L3[89][85] = d*a + 2*c^2*a L3[89][86] = - c*a L3[89][87] = - c^2 L3[89][89] = c L3[89][90] = c L3[90][87] = d L3[90][90] = c L3[91][31] = b^3*d^7 L3[91][33] = d^6*c^2*a*b^2 + a*d^7*b^2 L3[91][35] = b^2*d^7*a L3[91][43] = b^3*d^6*c L3[91][45] = d^5*c^3*a*b^2 + 2*d^6*c*a*b^2 L3[91][47] = b^2*d^6*a*c L3[91][49] = d^4*c^2*a*b L3[91][50] = a^3*d^4*c L3[91][51] = d^4*c^2*a^2 L3[91][52] = - a^2*d^4*c L3[91][53] = - a^2*d^4*c L3[91][54] = b*d^4*c L3[91][55] = - a^3*d^4 L3[91][56] = a^2*d^4 L3[91][61] = a^3*d^4*c L3[91][62] = d^3*c^2*a*b + d^3*c^2*a^3 L3[91][63] = b*d^4*c + d^3*c^3*a^2 + d^3*c^3*b L3[91][64] = - d^3*c^2*a^2 - d^3*c^2*b L3[91][65] = - d^3*c^2*a^2 - d^3*c^2*b L3[91][66] = b*d^3*c^2 L3[91][67] = - d^3*c*a^3 - d^3*c*a*b L3[91][68] = d^3*c*a^2 + d^3*c*b L3[91][73] = - c^2*d - a^2*d*c^2*b^-1 L3[91][74] = c*d + a^2*d*c*b^-1 L3[91][75] = a*d*c^2*b^-1 L3[91][76] = - a*d*b^-1*c L3[91][77] = - a*d*c*b^-1 L3[91][79] = - a^2*d*b^-1 L3[91][80] = a*d*b^-1 L3[91][85] = c*d + a^2*d*b^-1*c L3[91][91] = c L3[92][31] = a*b^3*d^7 L3[92][33] = a^2*d^6*c^2*b^2 + a^2*d^7*b^2 L3[92][35] = a^2*b^2*d^7 L3[92][43] = a*b^3*d^6*c L3[92][45] = a^2*d^5*c^3*b^2 + 2*a^2*d^6*c*b^2 L3[92][47] = a^2*b^2*d^6*c L3[92][49] = a^2*d^4*c^2*b L3[92][50] = a^4*d^4*c L3[92][51] = a^3*d^4*c^2 L3[92][52] = - a^3*d^4*c L3[92][53] = - a^3*d^4*c L3[92][54] = a*b*d^4*c L3[92][55] = - a^4*d^4 L3[92][56] = a^3*d^4 L3[92][58] = c*d^4*b L3[92][61] = a^4*d^4*c L3[92][62] = a^2*d^3*c^2*b + a^4*d^3*c^2 L3[92][63] = a*b*d^4*c + a^3*d^3*c^3 + a*d^3*c^3*b L3[92][64] = - a^3*d^3*c^2 - a*d^3*c^2*b L3[92][65] = - a^3*d^3*c^2 - a*d^3*c^2*b L3[92][66] = a*b*d^3*c^2 L3[92][67] = - a^4*d^3*c - a^2*d^3*c*b L3[92][68] = a^3*d^3*c + a*d^3*c*b L3[92][70] = c^2*d^3*b L3[92][73] = - c^4*a - a*c^2*d - a^3*d*c^2*b^-1 L3[92][74] = c^3*a + a*c*d + a^3*d*c*b^-1 L3[92][75] = c^4 + a^2*d*c^2*b^-1 + c^2*d L3[92][76] = - c^3 - a^2*d*b^-1*c - d*c L3[92][77] = - c^3 - a^2*d*c*b^-1 - c*d L3[92][79] = - c^2*a - a^3*d*b^-1 - d*a L3[92][80] = c^2 + a^2*d*b^-1 + d L3[92][85] = 2*c*d*a + 2*c^3*a + a^3*d*b^-1*c L3[92][86] = - c^2*a L3[92][88] = - c^2 L3[92][92] = c L3[92][96] = c L3[93][83] = d L3[93][93] = c L3[94][5] = b^5*d^10 L3[94][11] = b^5*d^9*c L3[94][17] = b^5*d^9*c L3[94][23] = b^5*d^8*c^2 L3[94][25] = b^3*d^7*a^2*c L3[94][26] = - b^3*d^7*a^2 L3[94][27] = - c*a*b^3*d^7 L3[94][30] = b^3*d^7*a L3[94][37] = - c^2*b^4*d^6 L3[94][38] = c*b^4*d^6 L3[94][40] = - b^3*d^6*a*c L3[94][46] = c*b^3*d^6 L3[94][48] = b^3*d^6*a L3[94][49] = - b^2*d^3*c^3*a - b^2*d^4*a*c L3[94][50] = b^2*d^3*c^2*a + b^2*d^4*a L3[94][51] = b^2*d^4*c + b^2*d^3*c^3 L3[94][52] = - b^2*d^3*c^2 L3[94][53] = - b^2*d^3*c^2 L3[94][55] = - b^2*d^3*c*a L3[94][56] = b^2*d^3*c L3[94][59] = b^2*d^3*c L3[94][61] = b^2*d^3*c^2*a L3[94][65] = b^2*d^3*c L3[94][71] = b^2*d^2*c^2 L3[94][73] = d*a^2*c L3[94][74] = - d*a^2 L3[94][75] = - d*a*c L3[94][78] = d*a L3[94][85] = - b*c^2 L3[94][86] = b*c L3[94][88] = - a*c L3[94][94] = c L3[94][96] = a L3[95][81] = d L3[95][93] = c L3[96][88] = d L3[96][96] = c # These three tables are computed with the C++ program # except for LL1[81][j] and LL1[93][j] # For those we have for j in range(1,97) : for n in range(1,97) : LL1[81][j] += d^-1*(L3[94][n]-c*L3[82][n])*L2[n][j] LL1[93][j] += L3[82][n]*L2[n][j] # Now we will use LL1 to compute L1, which is similar to L2 and L3, # but for the products b_3b_i. # The list M will contain the term that we need to add to LL1 to obtain L1 # We think that for i not equal to 8,12,20,24 # M[i][j] should be equal to 0 for all j # However, it is not necessary to know this for the algorithm to work L1 = [[0 for x in range(97)] for y in range(97)] M = [[0 for x in range(97)] for y in range(97)] C1 = [0 for x in range(97)] C2 = [0 for x in range(97)] # computation of C1, C2, L1 for j in range(1, 97) : for n in range(1, 97) : C1[j] += LL1[8][99] * L2[36][n] * L3[n][j] C2[j] += LL1[20][100] * L2[48][n] * L3[n][j] L1[8][j] = LL1[8][j] + C1[j] L1[20][j] = LL1[20][j] + C2[j] for i in range(1,97) : if LL1[i][97] != 0 : for j in range(1,97) : for n in range(1,97) : M[i][j] += LL1[i][97]*L1[8][n]*L2[n][j] if LL1[i][98] != 0 : for j in range(1,97) : for n in range(1,97) : M[i][j] += LL1[i][98]*L1[20][n]*L2[n][j] if LL1[i][99] != 0 : for j in range(1,97) : for n in range(1,97) : M[i][j] += LL1[i][99]*L2[36][n]*L3[n][j] if LL1[i][100] != 0 : for j in range(1,97) : for n in range(1,97) : M[i][j] += LL1[i][100]*L2[48][n]*L3[n][j] for i in range(1,97) : if (i != 8) and (i != 20) : for j in range(1,97) : L1[i][j] = LL1[i][j] + M[i][j] # The vector L4 keeps the coefficients of z^4 L4 = [0 for x in range(97)] for i in range(1,97) : for n in range(1,97) : if L1[93][n] != 0 : for l in range(1,97) : if L2[l][i] != 0 : for m in range(1,97) : if L2[n][m] != 0 : for k in range(1,97) : if L1[m][k] != 0 and L3[k][l] != 0 : L4[i] += L1[93][n]*L2[n][m]*L1[m][k]*L3[k][l]*L2[l][i] A[1][1] = 1 for i in [2,3,13,4,5,6,7,8,9,15,10,11,14,12,16,17,18,19,20,21,22,23,24,25,26,27,37,28,29,30,31,32,33,39,34,35,38,36,40,41,42,43,44,45,46,47,48, 49,50,51,61,52,53,54,55,56,57,63,58,59,62,60,64,65,66,67,68,69,70,71,72, 73,74,75,85,76,77,78,79,80,81,87,82,83,86,84,88,89,90,91,92,93,94,95,96]: if i <= 24 : k = 0 elif i>24 and i<= 48 : k = 1 elif i>48 and i<= 72 : k = 2 else : k = 3 print i, k if i%24 == 1 : for j in range(24*(4-k) + 1, 97) : print "j = ", j for n in range (1, 97) : A[i][j] += L4[n] * A[24*k +j-96][n] else : if i == 24*k + 2 : w = 24*k + 1 t = 2 elif i == 24*k + 3 : w = 24*k + 1 t = 3 elif i == 24*k + 13 : w = 24*k + 1 t = 13 elif i == 24*k + 4 : w = 24*k + 13 t = 3 elif i == 24*k + 5 : w = 24*k + 3 t = 2 elif i == 24*k + 6 : w = 24*k + 2 t = 3 elif i == 24*k + 7 : w = 24*k + 13 t = 2 elif i == 24*k + 8 : w = 24*k + 4 t = 2 elif i == 24*k + 9 : w = 24*k + 7 t = 3 elif i == 24*k + 15 : w = 24*k + 3 t = 13 elif i == 24*k + 10 : w = 24*k + 15 t = 3 elif i == 24*k + 11 : w = 24*k + 15 t = 2 elif i == 24*k + 14 : w = 24*k + 2 t = 13 elif i == 24*k + 12 : w = 24*k + 14 t = 3 elif i == 24*k + 16 : w = 24*k + 4 t = 13 elif i == 24*k + 17 : w = 24*k + 5 t = 13 elif i == 24*k + 18 : w = 24*k + 6 t = 13 elif i == 24*k + 19 : w = 24*k + 7 t = 13 elif i == 24*k + 20 : w = 24*k + 8 t = 13 elif i == 24*k + 21 : w = 24*k + 9 t = 13 elif i == 24*k + 22 : w = 24*k + 10 t = 13 elif i == 24*k + 23 : w = 24*k + 11 t = 13 elif i == 24*k + 24 : w = 24*k + 12 t = 13 for j in range(1, 97) : for n in range (1, 97) : if(t == 3) : A[i][j] += (L1[j][n] * A[w][n]) elif (t == 13) : A[i][j] += (L2[j][n] * A[w][n]) elif (t == 2) : A[i][j] += (L3[j][n] * A[w][n]) # Print Matrix print "[", for i in range (1, 97) : for j in range (1, 97) : print A[i][j], print ",", print "\n", print "])"