Magma V2.19-8 Tue Aug 20 2013 23:39:44 on localhost [Seed = 1377056490] Type ? for help. Type -D to quit. Loading file "K14n15961__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n15961 geometric_solution 9.32854498 oriented_manifold CS_known 0.0000000000000005 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 -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 -1 0 1 0 0 14 -14 0 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640501704784 0.264821866822 0 3 5 5 0132 2031 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658666613025 0.550601600360 6 0 8 7 0132 0132 0132 0132 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 0 0 0 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.086090896269 0.737781449245 1 9 8 0 1302 0132 0213 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 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526151414162 0.281169660558 8 10 0 10 2103 0132 0132 0213 0 0 0 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 0 -1 1 1 0 14 -15 1 0 0 -1 0 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219848295888 0.929414961969 1 7 1 6 2310 2031 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.079752734597 0.735184761986 2 8 5 10 0132 1023 2031 1302 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 0 1 0 0 0 0 15 -14 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.233712378579 1.416621173074 5 9 2 9 1302 0213 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 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 0.614126934882 0.252092807787 6 3 4 2 1023 0213 2103 0132 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 -1 1 1 0 -1 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.195081683127 0.846100359628 7 3 7 10 3012 0132 0213 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.027090177983 0.981565692354 9 4 6 4 3120 0132 2031 0213 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 1 -1 0 0 -1 1 0 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219848295888 0.929414961969 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_7']), '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' : d['c_0011_7'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : d['c_0110_10'], 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_0110_10'], 'c_1100_10' : negation(d['c_0101_2']), 'c_1010_7' : d['c_0011_7'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0110_10'], '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_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0101_1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0110_10']), 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2']})} 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_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0110_10, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 298708519/38104992*c_1001_2^3 - 153197065/12701664*c_1001_2^2 - 39306419/12701664*c_1001_2 - 3075815/4763124, c_0011_0 - 1, c_0011_10 + 19/3*c_1001_2^3 + 41/3*c_1001_2^2 + 25/3*c_1001_2 + 2, c_0011_3 + 19*c_1001_2^3 + 85/3*c_1001_2^2 + 50/3*c_1001_2 + 10/3, c_0011_5 - 19/3*c_1001_2^3 - 41/3*c_1001_2^2 - 25/3*c_1001_2 - 2, c_0011_7 + 19*c_1001_2^3 + 22*c_1001_2^2 + 11*c_1001_2 + 2, c_0101_0 - 3*c_1001_2 - 1, c_0101_1 - 19/3*c_1001_2^3 - 22/3*c_1001_2^2 - 8/3*c_1001_2 - 2/3, c_0101_2 + c_1001_2 + 1, c_0110_10 - 38/3*c_1001_2^3 - 44/3*c_1001_2^2 - 25/3*c_1001_2 - 4/3, c_1001_0 - 19*c_1001_2^3 - 22*c_1001_2^2 - 11*c_1001_2 - 2, c_1001_2^4 + 22/19*c_1001_2^3 + 15/19*c_1001_2^2 + 4/19*c_1001_2 + 1/19 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0110_10, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 110*c_1001_2^3 + 45/2*c_1001_2^2 + 102*c_1001_2 - 95, c_0011_0 - 1, c_0011_10 - 5*c_1001_2^3 + 5*c_1001_2^2 - c_1001_2, c_0011_3 - 5*c_1001_2^3 + 5*c_1001_2^2 - 2*c_1001_2, c_0011_5 - 5*c_1001_2^3 + 5*c_1001_2^2 - c_1001_2, c_0011_7 - 5*c_1001_2^3 + 10*c_1001_2^2 - 7*c_1001_2 + 2, c_0101_0 + c_1001_2 - 1, c_0101_1 + 5*c_1001_2^3 - 10*c_1001_2^2 + 6*c_1001_2 - 2, c_0101_2 - c_1001_2 + 1, c_0110_10 - c_1001_2, c_1001_0 - 5*c_1001_2^3 + 10*c_1001_2^2 - 7*c_1001_2 + 2, c_1001_2^4 - 2*c_1001_2^3 + 9/5*c_1001_2^2 - 4/5*c_1001_2 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.450 Total time: 0.660 seconds, Total memory usage: 32.09MB