Magma V2.19-8 Tue Aug 20 2013 23:39:46 on localhost [Seed = 3296895102] Type ? for help. Type -D to quit. Loading file "K14n18074__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n18074 geometric_solution 8.56911307 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 0 0 0 1 0 -1 0 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619009647339 0.401071964454 0 4 5 5 0132 3012 2310 0132 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 11 -11 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 1.164983268645 0.782286338502 6 0 4 7 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 -1 0 1 1 0 0 -1 0 0 0 0 1 -11 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333737107163 0.553251379895 6 6 7 0 3012 0132 0132 0132 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 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333737107163 0.553251379895 1 8 0 2 1230 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -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 0 0 0 10 0 -10 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.487223341491 1.912836981167 9 1 1 9 0132 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.503300955365 0.270012356622 2 3 10 3 0132 0132 0132 1230 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 0 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200567540356 1.325256023193 8 8 2 3 2103 1302 0132 0132 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 -1 0 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 0.200567540356 1.325256023193 10 4 7 7 1023 0132 2103 2031 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 1 -1 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200567540356 1.325256023193 5 5 10 10 0132 2310 2103 3012 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 11 -1 -10 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 2.017564499965 0.837527925348 9 8 9 6 2103 1023 1230 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 0 0 0 0 0 0 1 0 0 -1 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250835954480 1.345060158320 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_6'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : d['c_0110_8'], 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0110_8'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_7'], 'c_1010_10' : d['c_0110_8'], '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' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : d['c_0101_0'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_0110_8'], 'c_1010_2' : d['c_0110_8'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0011_7'], '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' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : negation(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_0110_10' : d['c_0101_6'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), '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_6'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0110_8'], '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_10'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_3'], 'c_1100_8' : negation(d['c_0101_3'])})} 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_5, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0110_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 3*c_0110_8 + 29/4, c_0011_0 - 1, c_0011_10 - 2, c_0011_5 + 1, c_0011_7 - c_0110_8 - 1, c_0101_0 - c_0110_8 + 1, c_0101_1 - c_0110_8, c_0101_10 + c_0110_8, c_0101_3 - 1, c_0101_6 + 1, c_0110_8^2 + 2*c_0110_8 - 1, c_1100_0 + 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0110_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 17/2*c_0110_8^3 - 61/2*c_0110_8^2 + 3*c_0110_8 + 85/2, c_0011_0 - 1, c_0011_10 + c_0110_8^2 - 2*c_0110_8 + 1, c_0011_5 + c_0110_8^3 - 2*c_0110_8^2 - c_0110_8 + 1, c_0011_7 + c_0110_8 - 1, c_0101_0 - c_0110_8 - 1, c_0101_1 + c_0110_8, c_0101_10 + c_0110_8^2 - c_0110_8 - 1, c_0101_3 - 1, c_0101_6 - 1, c_0110_8^4 - 4*c_0110_8^3 + 2*c_0110_8^2 + 4*c_0110_8 - 1, c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB