Magma V2.19-8 Thu Sep 12 2013 22:29:46 on localhost [Seed = 2566435441] Type ? for help. Type -D to quit. Loading file "m015__sl3_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation m015 geometric_solution 2.82812209 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 3 1 2 1 2 0132 0132 3120 2103 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 -1 1 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 0.662358978622 0.562279512062 0 2 0 2 0132 0213 3120 2310 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 0 -1 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662358978622 0.562279512062 1 0 1 0 3201 0132 0213 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 -1 1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662358978622 0.562279512062 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_1002_0'], 'c_1020_0' : d['c_1002_1'], 'c_1020_1' : d['c_0201_1'], 'c_0201_0' : d['c_0012_1'] * d['u'] ** 1, 'c_0201_1' : d['c_0201_1'], 'c_0201_2' : d['c_0012_0'] * d['u'] ** 2, 'c_2100_0' : d['c_0102_1'], 'c_2100_1' : d['c_0012_0'] * d['u'] ** 2, 'c_2100_2' : d['c_0102_1'] * d['u'] ** 1, 'c_2010_2' : d['c_1002_1'], 'c_2010_0' : d['c_1002_0'], 'c_2010_1' : d['c_0102_1'], 'c_0102_0' : d['c_0012_0'] * d['u'] ** 2, 'c_0102_1' : d['c_0102_1'], 'c_0102_2' : d['c_0012_1'] * d['u'] ** 1, 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : negation(d['c_1101_0']), 'c_1101_2' : d['c_1011_1'] * d['u'] ** 1, 'c_1200_2' : d['c_0201_1'] * d['u'] ** 2, 'c_1200_0' : d['c_0201_1'], 'c_1200_1' : d['c_0012_1'] * d['u'] ** 1, 'c_1110_2' : negation(d['c_1110_0']) * d['u'] ** 1, 'c_1110_0' : d['c_1110_0'], 'c_1110_1' : d['c_0111_2'] * d['u'] ** 1, 'c_0120_0' : d['c_0102_1'], 'c_0120_1' : d['c_0012_0'] * d['u'] ** 2, 'c_0120_2' : d['c_0102_1'] * d['u'] ** 1, 'c_2001_0' : d['c_1002_1'], 'c_2001_1' : d['c_1002_0'], 'c_2001_2' : d['c_1002_0'], 'c_0012_2' : d['c_0012_1'], 'c_0012_0' : d['c_0012_0'], 'c_0012_1' : d['c_0012_1'], 'c_0111_0' : d['c_0111_0'], 'c_0111_1' : negation(d['c_0111_0']), 'c_0111_2' : d['c_0111_2'], 'c_0210_2' : d['c_0201_1'] * d['u'] ** 2, 'c_0210_0' : d['c_0201_1'], 'c_0210_1' : d['c_0012_1'] * d['u'] ** 1, 'c_1002_2' : d['c_1002_1'], 'c_1002_0' : d['c_1002_0'], 'c_1002_1' : d['c_1002_1'], 'c_1011_2' : negation(d['c_1011_0']), 'c_1011_0' : d['c_1011_0'], 'c_1011_1' : d['c_1011_1'], 'c_0021_0' : d['c_0012_1'], 'c_0021_1' : d['c_0012_0'], 'c_0021_2' : d['c_0012_0']}), 'non_trivial_generalized_obstruction_class' : True} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 6209.420 PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_1, c_0111_0, c_0111_2, c_0201_1, c_1002_0, c_1002_1, c_1011_0, c_1011_1, c_1101_0, c_1110_0, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 11/2*c_1101_0*u + 11/2*c_1101_0 - 11/2*u + 15, c_0012_0 - 1, c_0012_1 - u - 1, c_0102_1 + c_1101_0*u + u, c_0111_0 - 1, c_0111_2 + 1, c_0201_1 - c_1101_0*u - c_1101_0 - u - 1, c_1002_0 - c_1101_0*u - c_1101_0 - 1, c_1002_1 + c_1101_0*u, c_1011_0 - c_1101_0*u + c_1101_0 - u, c_1011_1 - c_1101_0 + u, c_1101_0^2 + 2*c_1101_0 - u, c_1110_0 + u, u^2 + u + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_1, c_0111_0, c_0111_2, c_0201_1, c_1002_0, c_1002_1, c_1011_0, c_1011_1, c_1101_0, c_1110_0, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 11/19*c_1110_0^2*u - 15/38*c_1110_0*u - 15/38*c_1110_0 + 201/38, c_0012_0 - 1, c_0012_1 + u + 1, c_0102_1 - 1/2*c_1110_0^2 + c_1110_0*u - 1/2*u - 1/2, c_0111_0 - 1, c_0111_2 + 1, c_0201_1 - 1/2*c_1110_0^2*u - c_1110_0*u - c_1110_0 + 1/2, c_1002_0 - 1/2*c_1110_0^2*u - 2*c_1110_0*u - c_1110_0 - 1/2, c_1002_1 - 1/2*c_1110_0^2 + 2*c_1110_0*u + c_1110_0 + 1/2*u + 1/2, c_1011_0 + 1/2*c_1110_0^2*u + 2*c_1110_0*u + 2*c_1110_0 - 1/2, c_1011_1 - 1/2*c_1110_0^2*u - 1/2*c_1110_0^2 - c_1110_0 + 1/2*u + 1, c_1101_0 + 1/2*c_1110_0^2*u + 1/2*c_1110_0^2 + c_1110_0 + 1/2*u + 1, c_1110_0^3 - 3*c_1110_0^2*u + c_1110_0*u + c_1110_0 - 1, u^2 + u + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 6209.430 Total time: 6209.619 seconds, Total memory usage: 32.09MB