Magma V2.19-8 Mon Sep 9 2013 19:31:21 on localhost [Seed = 275519549] Type ? for help. Type -D to quit. Loading file "10^3_26__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_26 geometric_solution 15.41569854 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 16 1 1 2 3 0132 1230 0132 0132 0 0 1 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709398262695 0.846948601154 0 4 0 5 0132 0132 3012 0132 2 0 2 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 0 -1 1 0 0 -1 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418796525390 0.693897202308 6 7 8 0 0132 0132 0132 0132 0 0 2 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693897202308 0.581203474610 7 7 0 5 2031 0321 0132 2103 0 0 2 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709398262695 0.846948601154 9 1 10 11 0132 0132 0132 0132 2 1 1 2 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 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 6 8 1 3 2103 2103 0132 2103 2 0 0 2 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 1 -1 0 1 0 -1 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709398262695 1.346948601154 2 12 5 13 0132 0132 2103 0132 0 0 2 2 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 1 1 -2 0 0 -1 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 0.693897202308 0.581203474610 11 2 3 3 3120 0132 1302 0321 0 1 2 2 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 0.709398262695 0.846948601154 14 5 15 2 0132 2103 0132 0132 0 0 2 2 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 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 0.693897202308 0.581203474610 4 11 10 12 0132 2103 2103 3120 2 1 2 1 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 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 9 14 11 4 2103 3120 2103 0132 2 1 2 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 10 9 4 7 2103 2103 0132 3120 2 1 2 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 -1 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 1.000000000000 1.000000000000 9 6 15 15 3120 0132 1302 0321 0 1 2 2 0 1 -1 0 0 0 -1 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 -1 1 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 0.709398262695 0.846948601154 14 14 6 15 2103 1302 0132 0132 0 0 1 2 0 1 -1 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 -2 2 0 2 0 -1 -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 0.709398262695 0.846948601154 8 10 13 13 0132 3120 2103 2031 1 0 2 2 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 1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709398262695 0.846948601154 12 12 13 8 2031 0321 0132 0132 0 0 2 1 0 0 0 0 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 0 0 0 -1 0 1 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 0.709398262695 0.846948601154 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : negation(d['1']), 'c_1001_15' : d['c_0101_15'], 'c_1001_14' : negation(d['c_0011_10']), 'c_1001_11' : negation(d['c_0011_0']), 'c_1001_10' : d['c_0011_10'], 'c_1001_13' : d['c_0101_8'], 'c_1001_12' : d['c_0101_8'], 's_0_10' : d['1'], 'c_1001_5' : negation(d['c_0011_14']), 'c_1001_4' : negation(d['c_0011_14']), 'c_1001_7' : d['c_0110_3'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0110_3'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_5'], 'c_1010_13' : d['c_0101_15'], 'c_1010_12' : d['c_0011_5'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0011_14']), 'c_1010_15' : d['c_0011_5'], 'c_1010_14' : negation(d['c_0011_10']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_0_15' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_15' : d['c_0101_15'], 'c_0101_14' : d['c_0101_13'], 's_2_0' : 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_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_2_15' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_14'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0110_5']), 'c_1100_1' : negation(d['c_0110_3']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0110_5']), 'c_1100_15' : negation(d['c_0110_5']), 'c_1100_14' : negation(d['c_0101_15']), 'c_1100_9' : d['c_0011_15'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_0011_3'], 'c_1100_13' : negation(d['c_0110_5']), 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : negation(d['c_1001_2']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_0110_3'], 'c_1010_1' : negation(d['c_0011_14']), 'c_1010_0' : d['c_0101_1'], 's_3_15' : d['1'], 'c_1010_9' : negation(d['c_0011_12']), 's_3_14' : d['1'], 'c_1100_8' : negation(d['c_0110_5']), 's_3_1' : d['1'], 'c_0101_13' : d['c_0101_13'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_15'], 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_14']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), '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' : d['c_0011_12'], 'c_0110_11' : negation(d['c_0011_3']), 'c_0110_10' : negation(d['c_0011_15']), 'c_0110_13' : d['c_0101_15'], 'c_0110_12' : negation(d['c_0011_15']), 'c_0110_15' : d['c_0101_8'], 'c_0110_14' : d['c_0101_8'], 'c_0101_12' : negation(d['c_0011_15']), 's_3_12' : d['1'], 's_2_14' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_1001_2'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_15']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_13'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_15']), 'c_0110_8' : d['c_0101_13'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_14, c_0011_15, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_13, c_0101_15, c_0101_8, c_0110_3, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 9/16*c_0110_5^3 - 3/16*c_0110_5^2 + 3/2*c_0110_5 + 7/8, c_0011_0 - 1, c_0011_10 + 1/2*c_0110_5^3 - 1/2*c_0110_5^2 + c_0110_5, c_0011_12 - c_0110_5, c_0011_14 + c_0110_5, c_0011_15 - 1/2*c_0110_5^3 + 1/2*c_0110_5^2 - c_0110_5, c_0011_3 - 1, c_0011_5 - 1/2*c_0110_5^3 + 1/2*c_0110_5^2 - c_0110_5, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 1/2*c_0110_5^3 + 1/2*c_0110_5^2 - 2*c_0110_5, c_0101_13 - 1/2*c_0110_5^3 + 1/2*c_0110_5^2 - c_0110_5, c_0101_15 - 1, c_0101_8 + c_0110_5^2 + 1, c_0110_3 + c_0110_5 + 1, c_0110_5^4 + 3*c_0110_5^2 + 2*c_0110_5 + 2, c_1001_2 - 1 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_14, c_0011_15, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_13, c_0101_15, c_0101_8, c_0110_3, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1/16*c_0110_5^3 + 7/16*c_0110_5^2 - 1/2*c_0110_5 + 9/8, c_0011_0 - 1, c_0011_10 - 1/2*c_0110_5^3 + 1/2*c_0110_5^2 - c_0110_5, c_0011_12 - c_0110_5, c_0011_14 + c_0110_5, c_0011_15 + 1/2*c_0110_5^3 - 1/2*c_0110_5^2 + c_0110_5, c_0011_3 - 1, c_0011_5 - 1/2*c_0110_5^3 + 1/2*c_0110_5^2 - c_0110_5, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 1/2*c_0110_5^3 - 1/2*c_0110_5^2 - c_0110_5 - 2, c_0101_13 - 1/2*c_0110_5^3 + 1/2*c_0110_5^2 - c_0110_5, c_0101_15 + 1, c_0101_8 + c_0110_5^2 + 1, c_0110_3 + c_0110_5 + 1, c_0110_5^4 + 3*c_0110_5^2 + 2*c_0110_5 + 2, c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.420 seconds, Total memory usage: 32.09MB