Magma V2.19-8 Fri Sep 13 2013 01:05:08 on localhost [Seed = 1913830658] Type ? for help. Type -D to quit. Loading file "m203__sl3_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation m203 geometric_solution 4.05976643 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 4 1 1 2 2 0132 1230 0132 1230 0 0 1 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 1 -1 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 0.500000000000 0.866025403784 0 3 0 3 0132 0132 3012 3012 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 0 3 3 0 3012 3012 0132 0132 0 0 0 1 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 1 0 -1 1 0 -1 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 0.500000000000 0.866025403784 2 1 1 2 1230 0132 1230 0132 0 0 1 0 0 0 0 0 -1 0 0 1 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 -1 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0201_3'], 'c_1020_3' : d['c_0012_1'], 'c_1020_0' : d['c_0012_2'], 'c_1020_1' : d['c_0201_3'], 'c_0201_0' : d['c_0201_0'], 'c_0201_1' : d['c_0021_2'], 'c_0201_2' : d['c_0021_2'], 'c_0201_3' : d['c_0201_3'], 'c_2100_0' : d['c_0201_0'] * d['u'] ** 2, 'c_2100_1' : d['c_0201_3'] * d['u'] ** 1, 'c_2100_2' : d['c_0201_0'], 'c_2100_3' : d['c_0201_0'], 'c_2010_2' : d['c_0102_3'], 'c_2010_3' : d['c_0012_0'] * d['u'] ** 1, 'c_2010_0' : d['c_0021_2'], 'c_2010_1' : d['c_0102_3'], 'c_0102_0' : d['c_0102_0'], 'c_0102_1' : d['c_0012_2'], 'c_0102_2' : d['c_0012_2'], 'c_0102_3' : d['c_0102_3'], 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : d['c_1011_0'] * d['u'] ** 2, 'c_1101_2' : d['c_1101_2'], 'c_1101_3' : d['c_1101_3'], 'c_1200_2' : d['c_0102_0'], 'c_1200_3' : d['c_0102_0'], 'c_1200_0' : d['c_0102_0'] * d['u'] ** 1, 'c_1200_1' : d['c_0102_3'] * d['u'] ** 2, 'c_1110_2' : d['c_1101_0'] * d['u'] ** 1, 'c_1110_3' : d['c_1101_2'], 'c_1110_0' : d['c_0111_2'], 'c_1110_1' : d['c_1101_3'] * d['u'] ** 1, 'c_0120_0' : d['c_0012_2'], 'c_0120_1' : d['c_0102_0'] * d['u'] ** 1, 'c_0120_2' : d['c_0102_0'] * d['u'] ** 1, 'c_0120_3' : d['c_0012_2'], 'c_2001_0' : d['c_0102_3'], 'c_2001_1' : d['c_0012_0'] * d['u'] ** 1, 'c_2001_2' : d['c_0012_0'] * d['u'] ** 1, 'c_2001_3' : d['c_0102_3'], 'c_0012_2' : d['c_0012_2'], 'c_0012_3' : d['c_0012_0'] * d['u'] ** 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']) * d['u'] ** 2, 'c_0111_2' : d['c_0111_2'], 'c_0111_3' : d['c_0111_3'], 'c_0210_2' : d['c_0201_0'] * d['u'] ** 2, 'c_0210_3' : d['c_0021_2'], 'c_0210_0' : d['c_0021_2'], 'c_0210_1' : d['c_0201_0'] * d['u'] ** 2, 'c_1002_2' : d['c_0012_1'], 'c_1002_3' : d['c_0201_3'], 'c_1002_0' : d['c_0201_3'], 'c_1002_1' : d['c_0012_1'], 'c_1011_2' : d['c_0111_3'], 'c_1011_3' : negation(d['c_1011_1']), 'c_1011_0' : d['c_1011_0'], 'c_1011_1' : d['c_1011_1'], 'c_0021_0' : d['c_0012_1'] * d['u'] ** 1, 'c_0021_1' : d['c_0012_0'] * d['u'] ** 1, 'c_0021_2' : d['c_0021_2'], 'c_0021_3' : d['c_0012_1']}), 'non_trivial_generalized_obstruction_class' : True} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 2.810 PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0012_2, c_0021_2, c_0102_0, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0201_0, c_0201_3, c_1011_0, c_1011_1, c_1101_0, c_1101_2, c_1101_3, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2*c_1101_2*c_1101_3*u - 3*c_1101_2*c_1101_3 - 3*c_1101_2*u + c_1101_2 + 5*c_1101_3*u + 7*c_1101_3 + 6*u - 3, c_0012_0 - 1, c_0012_1 + u + 1, c_0012_2 - c_1101_2*c_1101_3*u - c_1101_2*u, c_0021_2 + c_1101_2*c_1101_3*u + c_1101_2*c_1101_3 + c_1101_2*u + c_1101_2, c_0102_0 - 1, c_0102_3 - c_1101_2*c_1101_3 + c_1101_2*u - c_1101_3 - 1, c_0111_0 - 1, c_0111_2 - c_1101_2*c_1101_3*u - c_1101_2*c_1101_3 - c_1101_2*u - c_1101_2 + c_1101_3*u + c_1101_3, c_0111_3 - c_1101_2*c_1101_3 - c_1101_2, c_0201_0 - c_1101_2*c_1101_3*u - c_1101_2*c_1101_3 - c_1101_2 - c_1101_3*u - c_1101_3 - u - 1, c_0201_3 - u - 1, c_1011_0 + c_1101_2*c_1101_3*u - 1, c_1011_1 + c_1101_3*u - 1, c_1101_0 + c_1101_2*c_1101_3*u + u, c_1101_2^2 + c_1101_2*c_1101_3*u - c_1101_2 + c_1101_3 + u, c_1101_3^2 + c_1101_3*u + c_1101_3 + u + 1, u^2 + u + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 2.820 Total time: 3.020 seconds, Total memory usage: 64.12MB