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Loading file "m033__sl3_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation m033 geometric_solution 3.16396323 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 4 1 1 2 3 0132 2103 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 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 0.895123382260 1.552491820062 0 0 2 3 0132 2103 0213 1230 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 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 0.721273588423 0.483419920186 3 1 3 0 1230 0213 2031 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173849793837 1.069071899876 1 2 0 2 3012 3012 0132 1302 0 0 0 0 0 -1 1 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 -1 1 0 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.504108364151 1.226851637747 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0012_1'], 'c_1020_3' : d['c_0201_2'], 'c_1020_0' : d['c_0021_2'] * d['u'] ** 1, 'c_1020_1' : d['c_0012_2'] * d['u'] ** 2, 'c_0201_0' : d['c_0021_3'], 'c_0201_1' : d['c_0021_2'] * d['u'] ** 1, 'c_0201_2' : d['c_0201_2'], 'c_0201_3' : d['c_0021_2'] * d['u'] ** 1, 'c_2100_0' : d['c_0201_2'] * d['u'] ** 1, 'c_2100_1' : d['c_0012_0'] * d['u'] ** 2, 'c_2100_2' : d['c_0201_2'], 'c_2100_3' : d['c_0201_2'], 'c_2010_2' : d['c_0012_0'], 'c_2010_3' : d['c_0102_2'], 'c_2010_0' : d['c_0012_2'] * d['u'] ** 2, 'c_2010_1' : d['c_0021_2'] * d['u'] ** 1, 'c_0102_0' : d['c_0012_3'], 'c_0102_1' : d['c_0012_2'] * d['u'] ** 2, 'c_0102_2' : d['c_0102_2'], 'c_0102_3' : d['c_0012_2'] * d['u'] ** 2, 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : d['c_1011_2'] * d['u'] ** 2, 'c_1101_2' : d['c_1101_2'], 'c_1101_3' : d['c_1101_3'], 'c_1200_2' : d['c_0102_2'], 'c_1200_3' : d['c_0102_2'], 'c_1200_0' : d['c_0102_2'] * d['u'] ** 2, 'c_1200_1' : d['c_0012_1'] * d['u'] ** 1, 'c_1110_2' : d['c_1101_0'] * d['u'] ** 2, 'c_1110_3' : d['c_1101_2'], 'c_1110_0' : d['c_1101_3'] * d['u'] ** 1, 'c_1110_1' : d['c_0111_3'] * d['u'] ** 2, 'c_0120_0' : d['c_0012_2'], 'c_0120_1' : d['c_0012_3'] * d['u'] ** 2, 'c_0120_2' : d['c_0012_3'] * d['u'] ** 2, 'c_0120_3' : d['c_0012_1'], 'c_2001_0' : d['c_0012_0'], 'c_2001_1' : d['c_0012_1'], 'c_2001_2' : d['c_0012_1'], 'c_2001_3' : d['c_0012_2'] * d['u'] ** 2, 'c_0012_2' : d['c_0012_2'], 'c_0012_3' : d['c_0012_3'], '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_0021_3'] * d['u'] ** 1, 'c_0210_3' : d['c_0012_0'], 'c_0210_0' : d['c_0021_2'], 'c_0210_1' : d['c_0021_3'] * d['u'] ** 1, 'c_1002_2' : d['c_0012_0'], 'c_1002_3' : d['c_0021_2'] * d['u'] ** 1, 'c_1002_0' : d['c_0012_1'], 'c_1002_1' : d['c_0012_0'], 'c_1011_2' : d['c_1011_2'], 'c_1011_3' : d['c_0111_2'] * d['u'] ** 2, 'c_1011_0' : d['c_1011_0'], 'c_1011_1' : negation(d['c_1011_0']), 'c_0021_0' : d['c_0012_1'], 'c_0021_1' : d['c_0012_0'], 'c_0021_2' : d['c_0021_2'], 'c_0021_3' : d['c_0021_3']}), 'non_trivial_generalized_obstruction_class' : True} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 3972.830 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_0012_3, c_0021_2, c_0021_3, c_0102_2, c_0111_0, c_0111_2, c_0111_3, c_0201_2, c_1011_0, c_1011_2, 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 + 3521471/3626*c_1101_3^3*u + 1562987/7252*c_1101_3^3 + 7155583/7252*c_1101_3^2*u + 21222087/7252*c_1101_3^2 - 3031325/3626*c_1101_3*u + 675981/7252*c_1101_3 - 804238/1813*u + 2775921/7252, c_0012_0 - 1, c_0012_1 - 1, c_0012_2 - 7/4*c_1101_3^3 + 21/4*c_1101_3^2*u + 11/4*c_1101_3^2 - c_1101_3*u + 3/4*c_1101_3 + 1/2*u + 3/4, c_0012_3 + 1/2*c_1101_3^3*u - c_1101_3^3 + 3*c_1101_3^2*u + 7/2*c_1101_3^2 - 3/2*c_1101_3*u - 2*c_1101_3 + 1/2*u, c_0021_2 + 7/4*c_1101_3^3*u + 7/4*c_1101_3^3 - 11/4*c_1101_3^2*u + 5/2*c_1101_3^2 - 3/4*c_1101_3*u - 7/4*c_1101_3 - 3/4*u - 1/4, c_0021_3 + 1/2*c_1101_3^3*u - c_1101_3^3 + 3*c_1101_3^2*u + 7/2*c_1101_3^2 - 3/2*c_1101_3*u - 2*c_1101_3 + 1/2*u, c_0102_2 + 7/4*c_1101_3^3*u + 5/2*c_1101_3^2*u + 21/4*c_1101_3^2 + 1/4*c_1101_3*u + 2*c_1101_3 - 5/4*u - 1/2, c_0111_0 - 1, c_0111_2 - 3/2*c_1101_3^3*u + 5/4*c_1101_3^3 - 19/4*c_1101_3^2*u - 23/4*c_1101_3^2 + 1/2*c_1101_3*u + 3/4*c_1101_3 + u - 1/4, c_0111_3 - 1, c_0201_2 + c_1101_3^3*u + 3/2*c_1101_3^3 - 3/2*c_1101_3^2*u + 5/2*c_1101_3^2 - 2*c_1101_3*u + 1/2*c_1101_3 - u - 3/2, c_1011_0 + 7/4*c_1101_3^3 - 21/4*c_1101_3^2*u - 11/4*c_1101_3^2 - 3/4*c_1101_3 - 1/2*u - 7/4, c_1011_2 + 7/4*c_1101_3^3 - 21/4*c_1101_3^2*u - 11/4*c_1101_3^2 - 3/4*c_1101_3 - 1/2*u - 7/4, c_1101_0 + 7/4*c_1101_3^3*u + 7/4*c_1101_3^3 - 11/4*c_1101_3^2*u + 5/2*c_1101_3^2 - 3/4*c_1101_3*u - 7/4*c_1101_3 - 3/4*u - 1/4, c_1101_2 - 3/2*c_1101_3^3*u + 5/4*c_1101_3^3 - 19/4*c_1101_3^2*u - 23/4*c_1101_3^2 + 1/2*c_1101_3*u + 7/4*c_1101_3 - 5/4, c_1101_3^4 - 26/7*c_1101_3^3*u - 15/7*c_1101_3^3 + 6/7*c_1101_3^2*u - 10/7*c_1101_3^2 - 1/7*c_1101_3*u - 3/7*c_1101_3 + 3/7*u + 2/7, 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_0012_3, c_0021_2, c_0021_3, c_0102_2, c_0111_0, c_0111_2, c_0111_3, c_0201_2, c_1011_0, c_1011_2, 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 - 1562987/7252*c_1101_3^3*u + 5479955/7252*c_1101_3^3 + 7155583/7252*c_1101_3^2*u + 21222087/7252*c_1101_3^2 + 6738631/7252*c_1101_3*u + 3031325/3626*c_1101_3 - 2775921/7252*u - 5992873/7252, c_0012_0 - 1, c_0012_1 + u + 1, c_0012_2 + 7/4*c_1101_3^3*u + 7/4*c_1101_3^3 + 21/4*c_1101_3^2*u + 11/4*c_1101_3^2 + 7/4*c_1101_3*u + c_1101_3 - 3/4*u - 1/4, c_0012_3 - 3/2*c_1101_3^3*u - 1/2*c_1101_3^3 - 7/2*c_1101_3^2*u - 1/2*c_1101_3^2 - 3/2*c_1101_3*u - 2*c_1101_3 - 1/2*u - 1/2, c_0021_2 + 7/4*c_1101_3^3*u + 7/4*c_1101_3^3 + 21/4*c_1101_3^2*u + 11/4*c_1101_3^2 + 7/4*c_1101_3*u + c_1101_3 - 3/4*u - 1/4, c_0021_3 - 3/2*c_1101_3^3*u - 1/2*c_1101_3^3 - 7/2*c_1101_3^2*u - 1/2*c_1101_3^2 - 3/2*c_1101_3*u - 2*c_1101_3 - 1/2*u - 1/2, c_0102_2 + 7/4*c_1101_3^3 + 5/2*c_1101_3^2*u + 21/4*c_1101_3^2 + 7/4*c_1101_3*u - 1/4*c_1101_3 + 1/2*u - 3/4, c_0111_0 - 1, c_0111_2 - 3/2*c_1101_3^3*u + 5/4*c_1101_3^3 - c_1101_3^2*u + 19/4*c_1101_3^2 - 3/4*c_1101_3*u - 1/4*c_1101_3 + u - 1/4, c_0111_3 + u + 1, c_0201_2 + c_1101_3^3*u + 3/2*c_1101_3^3 + 4*c_1101_3^2*u + 3/2*c_1101_3^2 - 1/2*c_1101_3*u - 5/2*c_1101_3 - u - 3/2, c_1011_0 + 7/4*c_1101_3^3*u + 11/4*c_1101_3^2*u - 5/2*c_1101_3^2 - 3/4*c_1101_3 - 5/4*u + 1/2, c_1011_2 + 7/4*c_1101_3^3*u + 11/4*c_1101_3^2*u - 5/2*c_1101_3^2 - 3/4*c_1101_3 - 5/4*u + 1/2, c_1101_0 - 7/4*c_1101_3^3*u - 11/4*c_1101_3^2*u + 5/2*c_1101_3^2 - c_1101_3*u + 3/4*c_1101_3 + 1/4*u - 1/2, c_1101_2 + 11/4*c_1101_3^3*u + 3/2*c_1101_3^3 + 23/4*c_1101_3^2*u + c_1101_3^2 + 1/2*c_1101_3*u + 7/4*c_1101_3 - 5/4*u, c_1101_3^4 + 11/7*c_1101_3^3*u + 26/7*c_1101_3^3 + 10/7*c_1101_3^2*u + 16/7*c_1101_3^2 - 1/7*c_1101_3*u - 3/7*c_1101_3 - 1/7*u - 3/7, 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_0012_3, c_0021_2, c_0021_3, c_0102_2, c_0111_0, c_0111_2, c_0111_3, c_0201_2, c_1011_0, c_1011_2, 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 - 5479955/7252*c_1101_3^3*u - 3521471/3626*c_1101_3^3 + 7155583/7252*c_1101_3^2*u + 21222087/7252*c_1101_3^2 - 675981/7252*c_1101_3*u - 6738631/7252*c_1101_3 + 5992873/7252*u + 804238/1813, c_0012_0 - 1, c_0012_1 - u, c_0012_2 - 7/4*c_1101_3^3*u + 21/4*c_1101_3^2*u + 11/4*c_1101_3^2 - 3/4*c_1101_3*u - 7/4*c_1101_3 + 1/4*u - 1/2, c_0012_3 + c_1101_3^3*u + 3/2*c_1101_3^3 + 1/2*c_1101_3^2*u - 3*c_1101_3^2 - 3/2*c_1101_3*u - 2*c_1101_3 + 1/2, c_0021_2 + 7/4*c_1101_3^3*u + 7/4*c_1101_3^3 - 5/2*c_1101_3^2*u - 21/4*c_1101_3^2 - c_1101_3*u + 3/4*c_1101_3 - 3/4*u - 1/4, c_0021_3 + c_1101_3^3*u + 3/2*c_1101_3^3 + 1/2*c_1101_3^2*u - 3*c_1101_3^2 - 3/2*c_1101_3*u - 2*c_1101_3 + 1/2, c_0102_2 - 7/4*c_1101_3^3*u - 7/4*c_1101_3^3 + 5/2*c_1101_3^2*u + 21/4*c_1101_3^2 - 2*c_1101_3*u - 7/4*c_1101_3 + 3/4*u + 5/4, c_0111_0 - 1, c_0111_2 - 3/2*c_1101_3^3*u + 5/4*c_1101_3^3 + 23/4*c_1101_3^2*u + c_1101_3^2 + 1/4*c_1101_3*u - 1/2*c_1101_3 + u - 1/4, c_0111_3 - u, c_0201_2 + c_1101_3^3*u + 3/2*c_1101_3^3 - 5/2*c_1101_3^2*u - 4*c_1101_3^2 + 5/2*c_1101_3*u + 2*c_1101_3 - u - 3/2, c_1011_0 - 7/4*c_1101_3^3*u - 7/4*c_1101_3^3 + 5/2*c_1101_3^2*u + 21/4*c_1101_3^2 - 3/4*c_1101_3 + 7/4*u + 5/4, c_1011_2 - 7/4*c_1101_3^3*u - 7/4*c_1101_3^3 + 5/2*c_1101_3^2*u + 21/4*c_1101_3^2 - 3/4*c_1101_3 + 7/4*u + 5/4, c_1101_0 - 7/4*c_1101_3^3 - 11/4*c_1101_3^2*u + 5/2*c_1101_3^2 + 7/4*c_1101_3*u + c_1101_3 + 1/2*u + 3/4, c_1101_2 - 5/4*c_1101_3^3*u - 11/4*c_1101_3^3 - c_1101_3^2*u + 19/4*c_1101_3^2 + 1/2*c_1101_3*u + 7/4*c_1101_3 + 5/4*u + 5/4, c_1101_3^4 + 15/7*c_1101_3^3*u - 11/7*c_1101_3^3 - 16/7*c_1101_3^2*u - 6/7*c_1101_3^2 - 1/7*c_1101_3*u - 3/7*c_1101_3 - 2/7*u + 1/7, 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_0012_3, c_0021_2, c_0021_3, c_0102_2, c_0111_0, c_0111_2, c_0111_3, c_0201_2, c_1011_0, c_1011_2, c_1101_0, c_1101_2, c_1101_3, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 37714377/3390486008*c_1101_3^5*u - 234901365/13561944032*c_1101_3^5 + 9440108305/13561944032*c_1101_3^2*u + 5799414065/13561944032*c_1101_3^2, c_0012_0 - 1, c_0012_1 - 25980/455221*c_1101_3^5*u + 16512/455221*c_1101_3^5 - 177287/455221*c_1101_3^2*u - 1586674/455221*c_1101_3^2, c_0012_2 + 45519/455221*c_1101_3^5*u + 48657/455221*c_1101_3^5 - 2096426/455221*c_1101_3^2*u - 744148/455221*c_1101_3^2, c_0012_3 - 1011/23959*c_1101_3^4*u - 2445/23959*c_1101_3^4 + 92979/23959*c_1101_3*u + 93690/23959*c_1101_3, c_0021_2 + 108/1261*c_1101_3^3*u + 3/1261*c_1101_3^3 - 750/1261*u + 2291/1261, c_0021_3 - 2193/23959*c_1101_3^4*u + 1095/23959*c_1101_3^4 - 16506/23959*c_1101_3*u - 129711/23959*c_1101_3, c_0102_2 - 36162/455221*c_1101_3^5*u - 39465/455221*c_1101_3^5 + 1821070/455221*c_1101_3^2*u + 722348/455221*c_1101_3^2, c_0111_0 - 1, c_0111_2 - 108/1261*c_1101_3^3*u - 3/1261*c_1101_3^3 - 511/1261*u - 1030/1261, c_0111_3 + 9357/455221*c_1101_3^5*u + 9192/455221*c_1101_3^5 - 275356/455221*c_1101_3^2*u - 21800/455221*c_1101_3^2, c_0201_2 + 105/1261*c_1101_3^3*u + 108/1261*c_1101_3^3 - 3041/1261*u + 511/1261, c_1011_0 + 534/23959*c_1101_3^4*u + 225/23959*c_1101_3^4 - 24725/23959*c_1101_3*u - 5976/23959*c_1101_3, c_1011_2 - 759/23959*c_1101_3^4*u + 84/23959*c_1101_3^4 + 6742/23959*c_1101_3*u - 12773/23959*c_1101_3, c_1101_0 - 13320/455221*c_1101_3^5*u - 10458/455221*c_1101_3^5 + 646079/455221*c_1101_3^2*u + 212596/455221*c_1101_3^2, c_1101_2 - 309/23959*c_1101_3^4*u - 534/23959*c_1101_3^4 - 5210/23959*c_1101_3*u + 766/23959*c_1101_3, c_1101_3^6 - 32*c_1101_3^3*u - 45*c_1101_3^3 + 56/9*u - 107/9, 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_0012_3, c_0021_2, c_0021_3, c_0102_2, c_0111_0, c_0111_2, c_0111_3, c_0201_2, c_1011_0, c_1011_2, c_1101_0, c_1101_2, c_1101_3, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 13238595/69906928*c_1101_3^5*u + 114078681/69906928*c_1101_3^5 + 537153363/69906928*c_1101_3^2*u + 514254129/34953464*c_1101_3^2, c_0012_0 - 1, c_0012_1 - 219/4693*c_1101_3^5*u - 1032/4693*c_1101_3^5 - 3551/4693*c_1101_3^2*u - 5676/4693*c_1101_3^2, c_0012_2 + 18/4693*c_1101_3^5*u + 1242/4693*c_1101_3^5 + 9485/4693*c_1101_3^2*u + 11524/4693*c_1101_3^2, c_0012_3 - 75/247*c_1101_3^4*u + 12/247*c_1101_3^4 + 205/247*c_1101_3*u + 807/247*c_1101_3, c_0021_2 + 5/13*c_1101_3^3*u + 7/13*c_1101_3^3 + 21/13*u + 31/39, c_0021_3 + 162/247*c_1101_3^4*u + 63/247*c_1101_3^4 + 397/247*c_1101_3*u - 271/247*c_1101_3, c_0102_2 + 1461/4693*c_1101_3^5*u + 2256/4693*c_1101_3^5 + 15075/4693*c_1101_3^2*u + 7715/4693*c_1101_3^2, c_0111_0 - 1, c_0111_2 + 1, c_0111_3 - 219/4693*c_1101_3^5*u - 1032/4693*c_1101_3^5 - 3551/4693*c_1101_3^2*u - 5676/4693*c_1101_3^2, c_0201_2 + 7/13*c_1101_3^3*u + 2/13*c_1101_3^3 - 47/39*u - 32/39, c_1011_0 + 4/247*c_1101_3^4*u + 29/247*c_1101_3^4 + 269/247*c_1101_3*u + 602/741*c_1101_3, c_1011_2 + 21/247*c_1101_3^4*u - 33/247*c_1101_3^4 - 271/741*c_1101_3*u - 668/741*c_1101_3, c_1101_0 - 1242/4693*c_1101_3^5*u - 1224/4693*c_1101_3^5 - 11524/4693*c_1101_3^2*u - 2039/4693*c_1101_3^2, c_1101_2 - 29/247*c_1101_3^4*u - 25/247*c_1101_3^4 + 139/741*c_1101_3*u + 205/741*c_1101_3, c_1101_3^6 + 50/9*c_1101_3^3*u + 79/9*c_1101_3^3 + 10/3*u + 17/27, u^2 + u + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ], [ ], [ ], [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 3972.830 Total time: 3973.030 seconds, Total memory usage: 9928.53MB