Magma V2.19-8 Tue Aug 20 2013 16:08:13 on localhost [Seed = 4256981804] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m100 geometric_solution 3.51425206 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 4 0 0 1 2 1302 2031 0132 0132 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 1 0 -1 -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 -0.289913987444 1.194096737693 2 2 3 0 1302 2031 0132 0132 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 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 0.267671985043 0.484936197895 1 1 0 3 1302 2031 0132 2310 0 0 0 0 0 0 1 -1 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 1 -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 0.267671985043 0.484936197895 2 3 3 1 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 0.634420582005 1.499996478263 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : 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_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_1']), 'c_0101_1' : negation(d['c_0011_1']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_1'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0011_1'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0011_1']), 'c_0110_3' : negation(d['c_0011_1']), 'c_0110_2' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0011_1'], 'c_1010_1' : d['c_0011_1'], 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 5 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 3*c_0101_3^4 + 13*c_0101_3^3 - 13*c_0101_3^2 - 8*c_0101_3 + 13, c_0011_0 - 1, c_0011_1 + c_0101_3^2 - c_0101_3 - 1, c_0011_3 + c_0101_3^4 - 2*c_0101_3^3 - c_0101_3^2 + 2*c_0101_3, c_0101_3^5 - 4*c_0101_3^4 + 3*c_0101_3^3 + 4*c_0101_3^2 - 4*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB