Magma V2.19-8 Tue Aug 20 2013 23:41:57 on localhost [Seed = 3398217615] Type ? for help. Type -D to quit. Loading file "L12n56__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n56 geometric_solution 9.96651188 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 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 0 0 1 0 -1 -1 0 0 1 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.861440136055 1.136889916589 0 5 7 6 0132 0132 0132 0132 1 1 1 1 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 0 1 0 -1 0 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682501868848 0.539919215631 8 0 5 8 0132 0132 0132 2103 1 0 1 1 0 0 -1 1 -1 0 2 -1 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 -1 8 -7 0 0 -1 1 -1 0 0 1 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791391711290 0.957356851844 6 7 9 0 0132 3201 0132 0132 1 1 1 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 -8 1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568078336259 0.696403487586 9 7 0 8 0132 0132 0132 0321 1 1 1 1 0 0 0 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 -1 1 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.105632395701 0.866718558451 10 1 10 2 0132 0132 3120 0132 1 0 1 1 0 0 -1 1 0 0 2 -2 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 8 -8 0 0 -1 1 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508402601518 0.402713367602 3 9 1 7 0132 3120 0132 3120 1 1 1 1 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 0 0 0 0 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.318977820811 0.476031163719 6 4 3 1 3120 0132 2310 0132 1 1 1 1 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 0 0 -1 1 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296663616004 0.862215436672 2 4 10 2 0132 0321 0132 2103 1 0 1 1 0 0 0 0 1 0 -2 1 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 1 0 -1 0 0 1 -1 -7 0 0 7 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791391711290 0.957356851844 4 6 10 3 0132 3120 0213 0132 1 1 1 1 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 0 0 0 0 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.098795142584 0.712932582236 5 9 5 8 0132 0213 3120 0132 1 0 1 1 0 0 0 0 0 0 -2 2 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 1 -1 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508402601518 0.402713367602 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_1001_0']), 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_8'], 'c_1010_10' : d['c_1001_8'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : 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' : d['c_1001_8'], 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1001_8'], 'c_1100_3' : d['c_1001_8'], 'c_1100_2' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_5']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : negation(d['c_1001_0']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_5'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_0']), 'c_0101_8' : d['c_0101_5'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_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_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_0, c_1001_1, c_1001_10, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 120832/1225*c_1001_8^2 - 29696/245*c_1001_8 + 36096/1225, c_0011_0 - 1, c_0011_3 + 2*c_1001_8^2 - 3*c_1001_8 + 1/2, c_0011_4 - 2*c_1001_8^2 + 4*c_1001_8 - 1, c_0101_0 + 2*c_1001_8^2 - 4*c_1001_8 + 1, c_0101_1 - 2*c_1001_8^2 + 2*c_1001_8, c_0101_10 - 1, c_0101_5 - 1, c_1001_0 + c_1001_8 - 1, c_1001_1 + c_1001_8, c_1001_10 - c_1001_8 - 1, c_1001_8^3 - 3/2*c_1001_8^2 + 1/2*c_1001_8 - 1/8 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_0, c_1001_1, c_1001_10, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 631/16*c_1001_8^4 + 2517/32*c_1001_8^3 + 801/16*c_1001_8^2 + 7277/128*c_1001_8 - 2319/128, c_0011_0 - 1, c_0011_3 + 4*c_1001_8^4 + 2*c_1001_8^3 + 4*c_1001_8^2 + 1/2*c_1001_8 + 1/2, c_0011_4 - 2*c_1001_8^2 - 1, c_0101_0 + 2*c_1001_8^2 + 1, c_0101_1 - 2*c_1001_8^4 + c_1001_8^3 - 2*c_1001_8^2 + 5/4*c_1001_8 - 1/4, c_0101_10 - 1, c_0101_5 + 1, c_1001_0 - c_1001_8 - 1, c_1001_1 + c_1001_8, c_1001_10 + c_1001_8 - 1, c_1001_8^5 + 1/2*c_1001_8^4 + 3/2*c_1001_8^3 + 3/8*c_1001_8^2 + 1/2*c_1001_8 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB