Magma V2.19-8 Tue Aug 20 2013 23:29:34 on localhost [Seed = 1966281498] Type ? for help. Type -D to quit. Loading file "K12n591__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n591 geometric_solution 6.36320925 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 4 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 0 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.160251515922 0.529085983931 0 4 5 5 0132 3012 2310 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 1.159773797806 0.613016016418 3 0 6 6 1023 0132 3201 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 1 0 0 -1 13 -12 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.524361738791 1.731231339114 7 2 7 0 0132 1023 0321 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 1 0 -1 0 1 -13 0 12 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.160251515922 0.529085983931 1 6 0 7 1230 3120 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 -2.602364123291 0.869146154159 7 1 1 6 3201 3201 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669978967671 0.796400689917 2 4 2 5 2310 3120 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824542136236 1.526896604922 3 4 3 5 0132 0321 0321 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 0 0 0 -1 0 1 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 0.279910106882 0.981815733965 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], '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_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_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_6' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_6']), '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_0011_6'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : negation(d['c_0101_0']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_6'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_6, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 161*c_1001_7^4 - 3188/3*c_1001_7^3 - 155*c_1001_7^2 - 278/3*c_1001_7 + 802/3, c_0011_0 - 1, c_0011_4 - 7*c_1001_7^4 - 45*c_1001_7^3 + c_1001_7^2 - 4*c_1001_7 + 11, c_0011_5 - 7*c_1001_7^4 - 46*c_1001_7^3 - 5*c_1001_7^2 - 2*c_1001_7 + 12, c_0011_6 - c_1001_7^4 - 6*c_1001_7^3 + 3*c_1001_7^2 - c_1001_7 + 1, c_0101_0 - 9*c_1001_7^4 - 59*c_1001_7^3 - 6*c_1001_7^2 - 4*c_1001_7 + 16, c_0101_1 - 3*c_1001_7^4 - 20*c_1001_7^3 - 4*c_1001_7^2 - c_1001_7 + 5, c_0101_6 + 3*c_1001_7^4 + 20*c_1001_7^3 + 4*c_1001_7^2 + c_1001_7 - 6, c_1001_7^5 + 6*c_1001_7^4 - 3*c_1001_7^3 - 2*c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB