Magma V2.19-8 Tue Aug 20 2013 16:08:56 on localhost [Seed = 2446331689] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m193 geometric_solution 4.02304274 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 5 1 1 2 3 0132 3201 0132 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 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 -0.194118413431 0.549223653665 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.756510245767 1.069754157690 3 3 4 0 1023 2031 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.126324807646 0.700396990289 2 2 0 4 1302 1023 0132 2310 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 1 -1 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 0.126324807646 0.700396990289 3 4 4 2 3201 3201 2310 0132 0 0 0 0 0 0 0 0 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 0 0 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 1.290560001974 1.312883982258 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], '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_4' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0011_2'], '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 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 8*c_0101_4^2 - 38*c_0101_4 - 39, c_0011_0 - 1, c_0011_2 + c_0101_4^2 + 3*c_0101_4 + 1, c_0011_4 - c_0101_4^2 - 3*c_0101_4 - 1, c_0101_0 - c_0101_4 - 1, c_0101_4^3 + 5*c_0101_4^2 + 6*c_0101_4 + 1 ], Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 280/9*c_0101_4^5 + 514/9*c_0101_4^4 - 35/3*c_0101_4^3 + 527/9*c_0101_4^2 + 1153/9*c_0101_4 - 449/9, c_0011_0 - 1, c_0011_2 + 4/3*c_0101_4^5 + 4/3*c_0101_4^4 - c_0101_4^3 + 8/3*c_0101_4^2 + 7/3*c_0101_4 - 5/3, c_0011_4 - 10/9*c_0101_4^5 - 19/9*c_0101_4^4 + 2/3*c_0101_4^3 - 23/9*c_0101_4^2 - 46/9*c_0101_4 + 17/9, c_0101_0 + 4/9*c_0101_4^5 + 4/9*c_0101_4^4 + 1/3*c_0101_4^3 + 11/9*c_0101_4^2 + 4/9*c_0101_4 + 4/9, c_0101_4^6 + 3/2*c_0101_4^5 - c_0101_4^4 + 2*c_0101_4^3 + 7/2*c_0101_4^2 - 3*c_0101_4 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB