Magma V2.19-8 Tue Aug 20 2013 16:14:16 on localhost [Seed = 2917937549] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s238 geometric_solution 4.40083252 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3201 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 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 0.313424649791 0.691080798143 0 1 0 1 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.964913385287 0.621896283522 4 3 3 0 0132 3012 1230 0132 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 1 0 -1 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 1.186078404604 0.874646460526 2 4 0 2 1230 0132 0132 3012 0 0 0 0 0 -1 0 1 0 0 0 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 0 1 -1 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 1.186078404604 0.874646460526 2 3 5 5 0132 0132 0132 3201 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 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 0.313424649791 0.691080798143 5 4 5 4 2310 2310 3201 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.964913385287 0.621896283522 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 221/15*c_0101_2^3 - 386/15*c_0101_2^2 + 419/5*c_0101_2 - 1496/15, c_0011_0 - 1, c_0011_2 + 1/3*c_0101_2^2 + 2/3*c_0101_2 - 1/3, c_0011_5 - 1/3*c_0101_2^3 - 1/3*c_0101_2^2 + 2*c_0101_2 - 4/3, c_0101_0 - 1/3*c_0101_2^3 - 2/3*c_0101_2^2 + 7/3*c_0101_2 - 2, c_0101_1 + 1/3*c_0101_2^3 + 2/3*c_0101_2^2 - 4/3*c_0101_2 + 1, c_0101_2^4 + c_0101_2^3 - 7*c_0101_2^2 + 11*c_0101_2 - 5 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 84/5*c_0101_2^3 + 293/5*c_0101_2^2 + 38*c_0101_2 + 167/5, c_0011_0 - 1, c_0011_2 - c_0101_2 - 1, c_0011_5 - c_0101_2^2 - c_0101_2, c_0101_0 + c_0101_2^3 + 3*c_0101_2^2 + 2*c_0101_2 + 1, c_0101_1 - c_0101_2^3 - 4*c_0101_2^2 - 2*c_0101_2 - 1, c_0101_2^4 + 4*c_0101_2^3 + 4*c_0101_2^2 + 3*c_0101_2 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 6/5*c_0101_2^4 - 5*c_0101_2^3 - 10*c_0101_2^2 - 84/5*c_0101_2 - 32/5, c_0011_0 - 1, c_0011_2 - 1/5*c_0101_2^4 - c_0101_2^2 + 1/5*c_0101_2 + 3/5, c_0011_5 - 1, c_0101_0 + 2/5*c_0101_2^4 + c_0101_2^3 + 2*c_0101_2^2 + 8/5*c_0101_2 - 1/5, c_0101_1 - c_0101_2, c_0101_2^5 + 2*c_0101_2^4 + 5*c_0101_2^3 + 4*c_0101_2^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB