Magma V2.19-8 Tue Aug 20 2013 16:07:18 on localhost [Seed = 947496497] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m019 geometric_solution 2.94410649 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 3 1 1 1 2 0132 2103 0321 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 0.780552527851 0.914473662968 0 0 0 2 0132 2103 0321 1023 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 0 0 0 0 0 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780552527851 0.914473662968 2 2 0 1 1230 3012 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.460021175574 0.632624193605 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_2' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_2' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_2' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0011_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0011_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 4 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - c_0101_0^3 + c_0101_0^2 + c_0101_0 + 2, c_0011_0 - 1, c_0011_2 + c_0101_0^3 - 2*c_0101_0 - 2, c_0101_0^4 - 2*c_0101_0^2 - 3*c_0101_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB