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Loading file "m004__sl4_c1_alt.magma" ==TRIANGULATION=BEGINS== % Triangulation m004 geometric_solution 2.02988321 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 2 1 1 1 1 0132 1230 2310 2103 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 0 0 0 0 0 -1 0 1 1 0 -1 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 0 0 0 0 0132 3201 3012 2103 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 -1 0 1 -1 0 1 0 1 0 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 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0022_1' : d['c_0022_0'], 'c_3100_0' : negation(d['c_0013_0']), 'c_0301_1' : d['c_0301_1'], 'c_0301_0' : negation(d['c_0013_1']), 'c_0031_0' : negation(d['c_0013_1']), 'c_3001_0' : d['c_0301_1'], 'c_2101_1' : d['c_1012_0'], 'c_3100_1' : negation(d['c_0103_1']), 'c_2011_1' : d['c_1102_0'], 'c_0022_0' : d['c_0022_0'], 'c_0103_1' : d['c_0103_1'], 'c_0103_0' : d['c_0013_0'], 'c_1120_0' : d['c_1120_0'], 'c_0202_1' : d['c_0202_1'], 'c_0202_0' : d['c_0022_0'], 'c_1120_1' : d['c_1120_1'], 'c_1021_0' : d['c_1021_0'], 'c_1201_1' : d['c_1201_1'], 'c_1201_0' : negation(d['c_1012_1']), 'c_0220_0' : d['c_0202_1'] * d['u'] ** 2, 'c_0220_1' : d['c_0022_0'] * d['u'] ** 2, 'c_1102_0' : d['c_1102_0'], 'c_3010_1' : negation(d['c_0103_1']), 'c_3010_0' : d['c_0301_1'], 'c_3001_1' : negation(d['c_0013_0']), 'c_2110_0' : negation(d['c_1120_1']) * d['u'] ** 3, 'c_0121_1' : d['c_0112_0'] * d['u'] ** 1, 'c_0121_0' : d['c_0112_1'] * d['u'] ** 3, 'c_0031_1' : negation(d['c_0013_0']), 'c_2200_0' : d['c_0022_0'], 'c_1012_1' : d['c_1012_1'], 'c_1012_0' : d['c_1012_0'], 'c_0013_1' : d['c_0013_1'], 'c_0013_0' : d['c_0013_0'], 'c_2200_1' : d['c_0202_1'], 'c_2101_0' : negation(d['c_1021_1']), 'c_2002_1' : d['c_0022_0'], 'c_2002_0' : d['c_0202_1'], 'c_2011_0' : negation(d['c_1201_1']), 'c_1102_1' : negation(d['c_1021_0']), 'c_0211_1' : negation(d['c_0211_0']) * d['u'] ** 2, 'c_0211_0' : d['c_0211_0'], 'c_1003_1' : d['c_0013_1'], 'c_1003_0' : d['c_0103_1'], 'c_1210_1' : negation(d['c_1210_0']) * d['u'] ** 2, 'c_1210_0' : d['c_1210_0'], 'c_1300_1' : negation(d['c_0301_1']), 'c_1300_0' : d['c_0013_1'], 'c_1030_1' : negation(d['c_0301_1']), 'c_1030_0' : d['c_0103_1'], 'c_1021_1' : d['c_1021_1'], 'c_0130_1' : d['c_0013_0'] * d['u'] ** 1, 'c_0130_0' : d['c_0103_1'] * d['u'] ** 3, 'c_2110_1' : negation(d['c_1120_0']) * d['u'] ** 1, 'c_0112_1' : d['c_0112_1'], 'c_0112_0' : d['c_0112_0'], 'c_0310_1' : negation(d['c_0013_1']) * d['u'] ** 3, 'c_0310_0' : d['c_0301_1'] * d['u'] ** 1, 'c_2020_1' : d['c_0202_1'], 'c_2020_0' : d['c_0202_1']}), 'non_trivial_generalized_obstruction_class' : True} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 40302.450 PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 22 over Rational Field Order: Lexicographical Variables: t, c_0013_0, c_0013_1, c_0022_0, c_0103_1, c_0112_0, c_0112_1, c_0202_1, c_0211_0, c_0301_1, c_1012_0, c_1012_1, c_1021_0, c_1021_1, c_1102_0, c_1111_0, c_1111_1, c_1120_0, c_1120_1, c_1201_1, c_1210_0, u Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ t*c_1210_0 - 1, c_0013_0 - 1, c_0013_1 - 11/13*c_1201_1*u - 3/13*c_1201_1 + 4/13*c_1210_0*u - 6/13*c_1210_0 - 1/13*u + 8/13, c_0022_0 - 1, c_0103_1 - 4/13*c_1201_1*u - 7/13*c_1201_1 + 5/13*c_1210_0*u - 1/13*c_1210_0 - 11/13*u + 10/13, c_0112_0 - 1, c_0112_1 + 2/13*c_1201_1*u + 10/13*c_1201_1 - 9/13*c_1210_0*u - 6/13*c_1210_0 + 12/13*u - 5/13, c_0202_1 - u, c_0211_0 + 6/13*c_1201_1*u - 9/13*c_1201_1 - 1/13*c_1210_0*u + 8/13*c_1210_0 - 3/13*u - 2/13, c_0301_1 + 4/13*c_1201_1*u + 7/13*c_1201_1 - 5/13*c_1210_0*u + 1/13*c_1210_0 - 2/13*u + 3/13, c_1012_0 + 3/13*c_1201_1*u + 2/13*c_1201_1 - 7/13*c_1210_0*u + 4/13*c_1210_0 - 8/13*u - 1/13, c_1012_1 - 4/13*c_1201_1*u + 6/13*c_1201_1 - 8/13*c_1210_0*u + 12/13*c_1210_0 + 2/13*u - 3/13, c_1021_0 + 3/13*c_1201_1*u + 2/13*c_1201_1 + 6/13*c_1210_0*u - 9/13*c_1210_0 + 5/13*u - 1/13, c_1021_1 - 5/13*c_1201_1*u - 12/13*c_1201_1 + 3/13*c_1210_0*u + 2/13*c_1210_0 - 4/13*u + 6/13, c_1102_0 + 7/13*c_1201_1*u + 9/13*c_1201_1 - 12/13*c_1210_0*u + 5/13*c_1210_0 + 3/13*u - 11/13, c_1111_0 - 1/5*c_1201_1*c_1210_0*u - 2/5*c_1201_1*c_1210_0 + 33/325*c_1201_1*u - 69/325*c_1201_1 + 11/25*c_1210_0^2*u + 2/25*c_1210_0^2 + 144/325*c_1210_0*u + 83/325*c_1210_0 - 62/325*u + 41/325, c_1111_1 - 4/65*c_1201_1*c_1210_0*u - 33/65*c_1201_1*c_1210_0 - 41/325*c_1201_1*u - 62/325*c_1201_1 + 64/325*c_1210_0^2*u + 73/325*c_1210_0^2 - 163/325*c_1210_0*u + 134/325*c_1210_0 - 51/325*u + 18/325, c_1120_0 + 9/13*c_1201_1*u + 6/13*c_1201_1 - 8/13*c_1210_0*u + 12/13*c_1210_0 + 2/13*u - 16/13, c_1120_1 - 5/13*c_1201_1*u + 1/13*c_1201_1 + 3/13*c_1210_0*u + 2/13*c_1210_0 + 9/13*u + 6/13, c_1201_1^2 - 6/5*c_1201_1*c_1210_0*u - 2/5*c_1201_1*c_1210_0 + 36/25*c_1201_1*u - 23/25*c_1201_1 + 6/25*c_1210_0^2*u - 8/25*c_1210_0^2 - 2/25*c_1210_0*u - 14/25*c_1210_0 - 4/25*u - 3/25, u^2 + 1 ], Ideal of Polynomial ring of rank 22 over Rational Field Order: Lexicographical Variables: t, c_0013_0, c_0013_1, c_0022_0, c_0103_1, c_0112_0, c_0112_1, c_0202_1, c_0211_0, c_0301_1, c_1012_0, c_1012_1, c_1021_0, c_1021_1, c_1102_0, c_1111_0, c_1111_1, c_1120_0, c_1120_1, c_1201_1, c_1210_0, u Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ t - c_0202_1*c_1210_0 + c_0202_1*u + c_0202_1 - c_1210_0*u + u - 1, c_0013_0 - 1, c_0013_1 - u, c_0022_0 - 1, c_0103_1 - u, c_0112_0 - 1, c_0112_1 - c_1210_0*u + u, c_0202_1*c_1210_0^2 - c_0202_1*c_1210_0*u - c_0202_1*c_1210_0 + c_1210_0^2*u - c_1210_0*u + c_1210_0 - 1, c_0211_0 + c_1210_0 - 1, c_0301_1 + 1, c_1012_0 + c_1210_0*u - u + 1, c_1012_1 + 1, c_1021_0 - c_1210_0*u + u - 1, c_1021_1 - c_1210_0*u - 1, c_1102_0 + c_1210_0*u + 1, c_1111_0 - c_1210_0^2*u + c_1210_0*u - c_1210_0, c_1111_1 + c_1210_0^2 - c_1210_0*u - c_1210_0, c_1120_0 + u, c_1120_1 + c_1210_0, c_1201_1 - 1, u^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1210_0" ], [ "c_1210_0" ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 40302.460 Total time: 40302.680 seconds, Total memory usage: 53920.00MB