Magma V2.19-8 Tue Aug 20 2013 23:40:15 on localhost [Seed = 762005905] Type ? for help. Type -D to quit. Loading file "L10a100__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a100 geometric_solution 9.70718659 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 1302 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498563090671 0.607095047747 0 3 0 2 0132 1230 2031 3120 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624500126382 0.256323364571 1 0 5 4 3120 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254086953966 0.818803499270 4 6 1 0 0132 0132 3012 0132 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254086953966 0.818803499270 3 7 2 6 0132 0132 0132 1023 1 1 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443159862484 1.314608375886 7 8 6 2 3012 0132 1023 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.743719849022 1.128875970992 9 3 5 4 0132 0132 1023 1023 1 1 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.027038340187 0.621370697087 9 4 10 5 1023 0132 0132 1230 1 1 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550566265169 0.638961402755 9 5 10 10 3120 0132 0321 3120 1 1 0 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.017564229852 1.310335819513 6 7 10 8 0132 1023 3012 3120 1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438351638799 1.541660371626 8 9 8 7 3120 1230 0321 0132 1 1 0 1 0 0 0 0 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.010227885553 0.763026042773 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_2'], 'c_1010_10' : d['c_0101_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : negation(d['c_1100_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_1100_2'], 'c_1100_10' : d['c_0101_2'], 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_5'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_9'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_10']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : d['c_0011_5'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_9, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 21/5*c_1100_2^3 - 9/5*c_1100_2^2 + 35/2*c_1100_2 + 93/10, c_0011_0 - 1, c_0011_10 + 2*c_1100_2^3 - c_1100_2^2 + 8*c_1100_2 + 4, c_0011_3 - 2*c_1100_2^3 + c_1100_2^2 - 8*c_1100_2 - 4, c_0011_5 + 2*c_1100_2^3 - c_1100_2^2 + 9*c_1100_2 + 4, c_0101_0 + c_1100_2^3 + 4*c_1100_2 + 3, c_0101_1 - 1, c_0101_10 + 1, c_0101_2 + c_1100_2^3 + 4*c_1100_2 + 2, c_0101_5 - c_1100_2^3 + c_1100_2^2 - 4*c_1100_2 - 1, c_0101_9 + 2*c_1100_2^3 - c_1100_2^2 + 9*c_1100_2 + 4, c_1100_2^4 + 4*c_1100_2^2 + 4*c_1100_2 + 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_9, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 111383/4832*c_1100_2^6 + 38073/302*c_1100_2^5 - 476373/1208*c_1100_2^4 + 1167773/2416*c_1100_2^3 - 890009/4832*c_1100_2^2 + 271315/1208*c_1100_2 - 402371/1208, c_0011_0 - 1, c_0011_10 - 65/1208*c_1100_2^6 + 19/151*c_1100_2^5 - 79/302*c_1100_2^4 - 477/604*c_1100_2^3 + 457/1208*c_1100_2^2 + 79/302*c_1100_2 + 99/302, c_0011_3 - 41/302*c_1100_2^6 + 219/302*c_1100_2^5 - 325/151*c_1100_2^4 + 331/151*c_1100_2^3 + 121/302*c_1100_2^2 + 197/302*c_1100_2 - 277/151, c_0011_5 - 43/604*c_1100_2^6 + 113/302*c_1100_2^5 - 187/151*c_1100_2^4 + 465/302*c_1100_2^3 - 757/604*c_1100_2^2 + 223/302*c_1100_2 - 125/151, c_0101_0 + 251/1208*c_1100_2^6 - 157/151*c_1100_2^5 + 923/302*c_1100_2^4 - 1717/604*c_1100_2^3 + 261/1208*c_1100_2^2 - 621/302*c_1100_2 + 835/302, c_0101_1 - 1, c_0101_10 - 64/151*c_1100_2^6 + 599/302*c_1100_2^5 - 871/151*c_1100_2^4 + 724/151*c_1100_2^3 - 161/151*c_1100_2^2 + 1289/302*c_1100_2 - 386/151, c_0101_2 + 251/1208*c_1100_2^6 - 157/151*c_1100_2^5 + 923/302*c_1100_2^4 - 1717/604*c_1100_2^3 + 261/1208*c_1100_2^2 - 621/302*c_1100_2 + 533/302, c_0101_5 + 87/1208*c_1100_2^6 - 95/302*c_1100_2^5 + 273/302*c_1100_2^4 - 393/604*c_1100_2^3 + 745/1208*c_1100_2^2 - 212/151*c_1100_2 + 281/302, c_0101_9 - 43/604*c_1100_2^6 + 113/302*c_1100_2^5 - 187/151*c_1100_2^4 + 465/302*c_1100_2^3 - 757/604*c_1100_2^2 + 223/302*c_1100_2 - 125/151, c_1100_2^7 - 6*c_1100_2^6 + 20*c_1100_2^5 - 30*c_1100_2^4 + 19*c_1100_2^3 - 14*c_1100_2^2 + 20*c_1100_2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB