Magma V2.19-8 Tue Aug 20 2013 23:39:59 on localhost [Seed = 1713373910] Type ? for help. Type -D to quit. Loading file "K14n24552__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n24552 geometric_solution 9.00782839 oriented_manifold CS_known 0.0000000000000002 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 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 0 1 0 0 20 -20 0 0 0 0 -21 1 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.782509167060 1.538728528371 0 4 6 5 0132 1302 0132 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 0 0 0 0 -1 1 21 -21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.154064416658 1.082234374301 7 0 8 6 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.775676701660 0.624629115976 8 4 5 0 0321 3012 3012 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 0 0 0 0 0 20 -20 0 20 0 -20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.151903684414 0.357828644630 3 9 0 1 1230 0132 0132 2031 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 0 0 0 0 0 0 0 0 -20 -1 21 -20 0 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.152054269492 0.735222692881 9 3 1 10 0132 1230 0132 0132 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 -20 0 20 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 -0.447732405792 0.557468592426 2 7 10 1 3201 2310 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 -1 0 0 1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401361478793 0.757572615604 2 9 10 6 0132 1230 2310 3201 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 0 20 -20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.040005642114 0.621057132852 3 9 10 2 0321 0321 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 1.410335029140 1.158502890922 5 4 7 8 0132 0132 3012 0321 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 20 -20 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 0.607743212913 0.499548408878 8 7 5 6 2310 3201 0132 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 20 -20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.605846040638 0.834348826063 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_3'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_0']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_10']), '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_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0011_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_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), '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_3'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_8']), 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0101_3']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_8']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_3']), '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_10, c_0011_3, c_0011_4, c_0011_8, c_0101_1, c_0101_10, c_0101_3, c_1001_2, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1731855/1011142*c_1001_5*c_1100_1 + 35610929/3033426*c_1001_5 - 11330041/4550139*c_1100_1 - 155314573/9100278, c_0011_0 - 1, c_0011_10 - 1/3*c_1100_1 - 2/3, c_0011_3 - c_1001_5 - 1/3*c_1100_1 + 7/3, c_0011_4 + 1/3*c_1001_5*c_1100_1 + 8/3*c_1001_5 - 3, c_0011_8 + 1/3*c_1001_5*c_1100_1 + 8/3*c_1001_5 - c_1100_1 - 4, c_0101_1 + 1/3*c_1001_5*c_1100_1 + 5/3*c_1001_5 - 1/3*c_1100_1 - 5/3, c_0101_10 + 1/3*c_1100_1 + 2/3, c_0101_3 - c_1001_5 - 1/3*c_1100_1 + 4/3, c_1001_2 - 1/3*c_1001_5*c_1100_1 - 5/3*c_1001_5 + 2/3*c_1100_1 + 10/3, c_1001_5^2 + 2/3*c_1001_5*c_1100_1 - 8/3*c_1001_5 - 11/3*c_1100_1 + 5/3, c_1100_1^2 + 7*c_1100_1 + 1 ], 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_4, c_0011_8, c_0101_1, c_0101_10, c_0101_3, c_1001_2, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 326831/836*c_1001_5*c_1100_1 + 641741/627*c_1001_5 + 4839/418*c_1100_1 - 19003/627, c_0011_0 - 1, c_0011_10 - 2*c_1100_1 + 1, c_0011_3 - c_1001_5 - c_1100_1, c_0011_4 - c_1001_5 - 2*c_1100_1, c_0011_8 - c_1001_5 + 2*c_1100_1 - 1, c_0101_1 + c_1001_5*c_1100_1 - c_1001_5 - c_1100_1 + 1, c_0101_10 - c_1100_1 + 1, c_0101_3 - c_1001_5, c_1001_2 - c_1001_5*c_1100_1 + c_1001_5 - c_1100_1, c_1001_5^2 + 6*c_1100_1 - 2, c_1100_1^2 - 3*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.620 Total time: 0.830 seconds, Total memory usage: 32.09MB