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Loading file "m203__sl3_c4.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'] * d['u'] ** 2, 'c_1020_0' : d['c_0012_2'] * d['u'] ** 1, 'c_1020_1' : d['c_0201_3'], 'c_0201_0' : d['c_0201_0'], 'c_0201_1' : d['c_0021_2'] * d['u'] ** 2, 'c_0201_2' : d['c_0021_2'] * d['u'] ** 2, 'c_0201_3' : d['c_0201_3'], 'c_2100_0' : d['c_0201_0'], 'c_2100_1' : d['c_0201_3'] * d['u'] ** 2, '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'] ** 2, 'c_2010_0' : d['c_0021_2'] * d['u'] ** 2, 'c_2010_1' : d['c_0102_3'], 'c_0102_0' : d['c_0102_0'], 'c_0102_1' : d['c_0012_2'] * d['u'] ** 1, 'c_0102_2' : d['c_0012_2'] * d['u'] ** 1, 'c_0102_3' : d['c_0102_3'], 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : d['c_1011_0'] * d['u'] ** 1, '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'], 'c_1200_1' : d['c_0102_3'] * d['u'] ** 1, 'c_1110_2' : d['c_1101_0'], 'c_1110_3' : d['c_1101_2'], 'c_1110_0' : d['c_0111_2'], 'c_1110_1' : d['c_1101_3'] * d['u'] ** 2, 'c_0120_0' : d['c_0012_2'], 'c_0120_1' : d['c_0102_0'] * d['u'] ** 2, 'c_0120_2' : d['c_0102_0'], 'c_0120_3' : d['c_0012_2'] * d['u'] ** 1, 'c_2001_0' : d['c_0102_3'], 'c_2001_1' : d['c_0012_0'] * d['u'] ** 2, 'c_2001_2' : d['c_0012_0'] * d['u'] ** 2, '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']), 'c_0111_2' : d['c_0111_2'], 'c_0111_3' : d['c_0111_3'], 'c_0210_2' : d['c_0201_0'], 'c_0210_3' : d['c_0021_2'] * d['u'] ** 2, 'c_0210_0' : d['c_0021_2'], 'c_0210_1' : d['c_0201_0'] * d['u'] ** 1, 'c_1002_2' : d['c_0012_1'] * d['u'] ** 2, 'c_1002_3' : d['c_0201_3'], 'c_1002_0' : d['c_0201_3'], 'c_1002_1' : d['c_0012_1'] * d['u'] ** 2, 'c_1011_2' : d['c_0111_3'] * d['u'] ** 1, '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: 14.580 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: 2 Groebner basis: [ t + u, c_0012_0 - 1, c_0012_1 + u + 1, c_0012_2 - 1, c_0021_2 - 1, c_0102_0 - 1, c_0102_3 - u, c_0111_0 - 1, c_0111_2 - u - 1, c_0111_3 - 1, c_0201_0 + u + 1, c_0201_3 - u, c_1011_0 + 1, c_1011_1 - u, c_1101_0 + u + 1, c_1101_2 + u, c_1101_3 + u + 1, u^2 + u + 1 ], 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 - 20959/42*c_1101_3^3*u - 229/21*c_1101_3^3 + 57637/42*c_1101_3^2*u + 167423/42*c_1101_3^2 + 62179/42*c_1101_3*u + 32638/21*c_1101_3 - 31615/14*u + 10702/7, c_0012_0 - 1, c_0012_1 + u + 1, c_0012_2 - 4/21*c_1101_3^3*u + 11/42*c_1101_3^3 + 39/14*c_1101_3^2*u + 20/7*c_1101_3^2 + 20/21*c_1101_3*u - 13/42*c_1101_3 - 2/21*u + 79/42, c_0021_2 - 4/21*c_1101_3^3*u + 11/42*c_1101_3^3 + 39/14*c_1101_3^2*u + 20/7*c_1101_3^2 + 20/21*c_1101_3*u - 13/42*c_1101_3 - 2/21*u + 79/42, c_0102_0 - 1, c_0102_3 + 1/42*c_1101_3^3*u - 2/21*c_1101_3^3 - 41/42*c_1101_3^2*u - 25/42*c_1101_3^2 + 3/14*c_1101_3*u + 8/7*c_1101_3 - 5/42*u - 11/21, c_0111_0 - 1, c_0111_2 + 1/3*c_1101_3^3*u + 1/6*c_1101_3^3 + 19/42*c_1101_3^2*u - 38/21*c_1101_3^2 - 1/3*c_1101_3*u - 7/6*c_1101_3 + 11/7*u + 3/14, c_0111_3 + 1/42*c_1101_3^3*u - 2/21*c_1101_3^3 - 13/14*c_1101_3^2*u - 11/14*c_1101_3^2 - 5/42*c_1101_3*u + 10/21*c_1101_3 - 1/42*u + 2/21, c_0201_0 - 13/42*c_1101_3^3*u - 11/42*c_1101_3^3 - 8/7*c_1101_3^2*u + 15/14*c_1101_3^2 - 19/42*c_1101_3*u + 13/42*c_1101_3 - 47/42*u - 43/42, c_0201_3 - 4/21*c_1101_3^2*u - 5/21*c_1101_3^2 - 2/3*c_1101_3*u + 2/3*c_1101_3 - 8/21*u - 10/21, c_1011_0 + 5/42*c_1101_3^3*u + 1/42*c_1101_3^3 - 1/7*c_1101_3^2*u - 13/14*c_1101_3^2 - 25/42*c_1101_3*u - 5/42*c_1101_3 - 5/42*u - 1/42, c_1011_1 + 1/21*c_1101_3^2*u - 4/21*c_1101_3^2 - 1/3*c_1101_3*u - 2/3*c_1101_3 + 2/21*u - 8/21, c_1101_0 + 5/42*c_1101_3^3*u + 1/42*c_1101_3^3 + 1/21*c_1101_3^2*u - 29/42*c_1101_3^2 + 1/14*c_1101_3*u - 11/14*c_1101_3 + 11/42*u + 19/42, c_1101_2 - u - 1, c_1101_3^4 + 8*c_1101_3^3*u + 5*c_1101_3^3 + 2*c_1101_3^2*u + 3*c_1101_3*u + 8*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: 14.580 Total time: 14.789 seconds, Total memory usage: 64.12MB