Magma V2.19-8 Tue Aug 20 2013 23:38:38 on localhost [Seed = 1225731449] Type ? for help. Type -D to quit. Loading file "K10n28__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K10n28 geometric_solution 10.79659498 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 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 -1 5 -4 -5 0 5 0 -4 0 0 4 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601267099348 0.902833941009 0 5 7 6 0132 0132 0132 0132 0 0 0 0 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 -1 0 1 5 0 -5 0 5 0 0 -5 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263506167503 0.598506380907 7 0 9 8 0132 0132 0132 0132 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 0 1 -1 0 0 0 -4 4 1 0 0 -1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.843056820796 0.764562379036 6 5 10 0 0132 1023 0132 0132 0 0 0 0 0 0 -1 1 0 0 -1 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 0 5 -5 0 0 5 -5 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333036435903 0.555839755819 9 11 0 11 0132 0132 0132 1230 0 0 0 0 0 0 -1 1 -1 0 0 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 0 4 -4 4 0 0 -4 -1 1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116608553860 0.837984769958 3 1 8 8 1023 0132 2103 2031 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 1 -1 0 0 0 0 0 -5 4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570523444841 0.476579985790 3 7 1 9 0132 0132 0132 0132 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 0 0 -1 1 0 0 0 0 0 -1 0 1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.465117338811 1.317172607767 2 6 10 1 0132 0132 3012 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 -5 5 -5 5 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342283353955 0.853996207484 5 5 2 11 2103 1302 0132 0132 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 -4 4 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570523444841 0.476579985790 4 10 6 2 0132 3012 0132 0132 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 0 -1 1 -4 0 0 4 0 -5 0 5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595839800740 0.565213394965 9 7 11 3 1230 1230 1230 0132 0 0 0 0 0 -1 0 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 0 0 0 0 5 0 -5 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330261827037 1.959929750331 4 4 8 10 3012 0132 0132 3012 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 0 0 0 0 0 0 0 0 4 0 -4 0 4 -4 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595839800740 0.565213394965 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_10']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0110_5'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0101_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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_2_11' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_10']), 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0110_11'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : d['c_0110_11'], 'c_1100_3' : d['c_0110_11'], 'c_1100_2' : negation(d['c_1001_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0110_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_0101_10']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0101_11'], '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_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], '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_0011_11'], '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_0011_11'], 'c_0101_8' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0110_11, c_0110_5, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 512/81*c_0110_5 + 1792/81, c_0011_0 - 1, c_0011_10 + 1/2*c_0110_5 + 1/4, c_0011_11 + 1/2, c_0011_8 + 1/2*c_0110_5 + 1/4, c_0101_0 - 1/2*c_0110_5 - 3/4, c_0101_1 - 1/2, c_0101_10 - 1/2*c_0110_5 + 1/4, c_0101_11 - 1/2, c_0101_5 - 1/2*c_0110_5 + 1/4, c_0110_11 + 1/2*c_0110_5 - 3/4, c_0110_5^2 + c_0110_5 + 9/4, c_1001_10 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.460 seconds, Total memory usage: 32.09MB