Magma V2.19-8 Tue Aug 20 2013 23:40:53 on localhost [Seed = 2783166798] Type ? for help. Type -D to quit. Loading file "L12n43__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n43 geometric_solution 8.99735194 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -2 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 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 0.500000000000 0.500000000000 0 3 5 4 0132 1023 0132 2103 1 1 1 0 0 0 0 0 0 0 1 -1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 4 -3 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000000 1.000000000000 6 0 8 7 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 1 -1 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 1 -1 0 0 0 3 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 1 7 4 0 1023 0132 0213 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 0 0 0 -1 0 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 1.000000000000 1.000000000000 8 3 0 1 0132 0213 0132 2103 1 1 1 0 0 0 0 0 -1 0 0 1 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -3 0 0 3 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 6 9 8 1 3120 0132 3120 0132 1 1 0 1 0 0 0 0 1 0 0 -1 0 -2 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 4 0 0 -4 0 -1 0 1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.500000000000 1.322875655532 2 7 9 5 0132 1023 1230 3120 1 1 0 1 0 1 -1 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 3 -3 0 0 0 4 -4 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 6 3 2 9 1023 0132 0132 1230 1 1 0 1 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 0 0 0 0 0 0 0 0 -3 0 3 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 0.375000000000 0.330718913883 4 9 5 2 0132 1230 3120 0132 1 1 0 1 0 1 -1 0 1 0 0 -1 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -4 1 3 0 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 7 5 8 6 3012 0132 3012 3012 1 1 1 0 0 0 0 0 0 0 -1 1 0 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -3 3 0 4 0 -4 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250000000000 0.661437827766 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_9'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_0101_9'], 'c_1001_9' : d['c_0011_4'], 'c_1001_8' : d['c_0101_6'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_6']), 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0101_5']), 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0101_9'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_0101_9'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : negation(d['c_0101_5']), 'c_0110_8' : d['c_0101_1'], '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_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_5, c_0101_6, c_0101_8, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1/8*c_0101_6*c_1001_0 - 1/4*c_0101_6 + 1/8, c_0011_0 - 1, c_0011_4 + 1, c_0011_5 - c_0101_6*c_1001_0 - c_1001_0 - 1, c_0101_0 - 1, c_0101_1 - c_1001_0 - 1, c_0101_5 - c_0101_6*c_1001_0 - c_0101_6 - c_1001_0 - 2, c_0101_6^2 - 1/2*c_0101_6*c_1001_0 - c_1001_0 - 1, c_0101_8 + c_1001_0, c_0101_9 + c_1001_0 + 1, c_1001_0^2 + 2*c_1001_0 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB