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Loading file "m007__sl3_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation m007 geometric_solution 2.56897060 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 3 1 1 2 2 0132 2310 0132 3012 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 1 0 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 -0.102784715200 0.665456951153 0 2 2 0 0132 1023 2310 3201 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 0 0 0 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 0.226698825758 1.467711508710 1 1 0 0 1023 3201 1230 0132 0 0 0 0 0 0 0 0 0 0 0 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 1 -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 -0.102784715200 0.665456951153 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0201_0'], 'c_1020_0' : d['c_0201_0'], 'c_1020_1' : d['c_0102_0'], 'c_0201_0' : d['c_0201_0'], 'c_0201_1' : d['c_0201_1'], 'c_0201_2' : d['c_0201_0'], 'c_2100_0' : d['c_0201_1'] * d['u'] ** 1, 'c_2100_1' : d['c_0012_0'], 'c_2100_2' : d['c_0201_1'], 'c_2010_2' : d['c_0102_0'], 'c_2010_0' : d['c_0102_0'], 'c_2010_1' : d['c_0201_0'], 'c_0102_0' : d['c_0102_0'], 'c_0102_1' : d['c_0102_1'], 'c_0102_2' : d['c_0102_0'], 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : d['c_1011_2'], 'c_1101_2' : d['c_1101_2'], 'c_1200_2' : d['c_0102_1'], 'c_1200_0' : d['c_0102_1'] * 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_0' : d['c_1101_2'] * d['u'] ** 1, 'c_1110_1' : negation(d['c_1011_0']), 'c_0120_0' : d['c_0102_1'] * d['u'] ** 1, 'c_0120_1' : d['c_0102_0'], 'c_0120_2' : d['c_0102_0'] * d['u'] ** 2, 'c_2001_0' : d['c_0102_0'], 'c_2001_1' : d['c_0201_0'], 'c_2001_2' : d['c_0102_1'], 'c_0012_2' : d['c_0012_1'] * 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'] ** 1, 'c_0111_2' : d['c_0111_2'], 'c_0210_2' : d['c_0201_0'] * d['u'] ** 1, 'c_0210_0' : d['c_0201_1'] * d['u'] ** 2, 'c_0210_1' : d['c_0201_0'], 'c_1002_2' : d['c_0201_1'], 'c_1002_0' : d['c_0201_0'], 'c_1002_1' : d['c_0102_0'], 'c_1011_2' : d['c_1011_2'], 'c_1011_0' : d['c_1011_0'], 'c_1011_1' : d['c_0111_2'] * d['u'] ** 2, '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_0012_0']}), 'non_trivial_generalized_obstruction_class' : True} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 2849.780 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_0, c_0102_1, c_0111_0, c_0111_2, c_0201_0, c_0201_1, c_1011_0, c_1011_2, c_1101_0, c_1101_2, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 7*c_1101_2^2*u + 34/7*c_1101_2^2 + 101/7*c_1101_2*u + 157/7*c_1101_2 + 46/7*u - 88/7, c_0012_0 - 1, c_0012_1 - 1, c_0102_0 + 5/7*c_1101_2^2*u + 4/7*c_1101_2^2 + 6/7*c_1101_2*u + 16/7*c_1101_2 + 1/7*u - 9/7, c_0102_1 + 3/7*c_1101_2^2*u + 8/7*c_1101_2^2 - 9/7*c_1101_2*u + 18/7*c_1101_2 + 16/7*u - 4/7, c_0111_0 - 1, c_0111_2 + 2/7*c_1101_2^2*u + 3/7*c_1101_2^2 + 1/7*c_1101_2*u + 5/7*c_1101_2 - 1/7*u - 5/7, c_0201_0 - 1/7*c_1101_2^2*u - 5/7*c_1101_2^2 + 10/7*c_1101_2*u - 6/7*c_1101_2 - 10/7*u - 1/7, c_0201_1 - 3/7*c_1101_2^2*u - 1/7*c_1101_2^2 - 5/7*c_1101_2*u - 4/7*c_1101_2 - 2/7*u + 11/7, c_1011_0 + 2/7*c_1101_2^2*u + 3/7*c_1101_2^2 + 1/7*c_1101_2*u + 5/7*c_1101_2 - 1/7*u - 5/7, c_1011_2 - 5/7*c_1101_2^2*u - 4/7*c_1101_2^2 - 6/7*c_1101_2*u - 9/7*c_1101_2 - 1/7*u + 9/7, c_1101_0 + 2/7*c_1101_2^2*u + 3/7*c_1101_2^2 + 1/7*c_1101_2*u + 12/7*c_1101_2 + 6/7*u - 5/7, c_1101_2^3 - 2*c_1101_2^2*u + c_1101_2^2 + 5*c_1101_2*u + 2*c_1101_2 - u - 1, 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_0, c_0102_1, c_0111_0, c_0111_2, c_0201_0, c_0201_1, c_1011_0, c_1011_2, c_1101_0, c_1101_2, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 15/7*c_1101_2^2*u - 7*c_1101_2^2 - 157/7*c_1101_2*u - 8*c_1101_2 + 46/7*u - 88/7, c_0012_0 - 1, c_0012_1 - 1, c_0102_0 + 5/7*c_1101_2^2*u + 4/7*c_1101_2^2 + 10/7*c_1101_2*u - 6/7*c_1101_2 + 9/7*u + 10/7, c_0102_1 + 3/7*c_1101_2^2*u + 8/7*c_1101_2^2 + 27/7*c_1101_2*u + 9/7*c_1101_2 + 4/7*u + 20/7, c_0111_0 - 1, c_0111_2 + 1/7*c_1101_2^2*u - 2/7*c_1101_2^2 - 5/7*c_1101_2*u - 4/7*c_1101_2 - 1/7*u - 5/7, c_0201_0 + 5/7*c_1101_2^2*u + 4/7*c_1101_2^2 + 10/7*c_1101_2*u - 6/7*c_1101_2 + 9/7*u + 10/7, c_0201_1 + 1/7*c_1101_2^2*u - 2/7*c_1101_2^2 - 5/7*c_1101_2*u - 4/7*c_1101_2 + 13/7*u + 2/7, c_1011_0 + 2/7*c_1101_2^2*u + 3/7*c_1101_2^2 + 4/7*c_1101_2*u - 1/7*c_1101_2 + 5/7*u + 4/7, c_1011_2 - 5/7*c_1101_2^2*u - 4/7*c_1101_2^2 - 3/7*c_1101_2*u + 6/7*c_1101_2 - 9/7*u - 10/7, c_1101_0 - 3/7*c_1101_2^2*u - 1/7*c_1101_2^2 + 1/7*c_1101_2*u + 12/7*c_1101_2 - 11/7*u - 6/7, c_1101_2^3 + 3*c_1101_2^2*u + 2*c_1101_2^2 - 2*c_1101_2*u + 3*c_1101_2 - u - 1, 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_0, c_0102_1, c_0111_0, c_0111_2, c_0201_0, c_0201_1, c_1011_0, c_1011_2, c_1101_0, c_1101_2, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 34/7*c_1101_2^2*u + 15/7*c_1101_2^2 + 8*c_1101_2*u - 101/7*c_1101_2 + 46/7*u - 88/7, c_0012_0 - 1, c_0012_1 - 1, c_0102_0 + 5/7*c_1101_2^2*u + 4/7*c_1101_2^2 - 16/7*c_1101_2*u - 10/7*c_1101_2 - 10/7*u - 1/7, c_0102_1 + 3/7*c_1101_2^2*u + 8/7*c_1101_2^2 - 18/7*c_1101_2*u - 27/7*c_1101_2 - 20/7*u - 16/7, c_0111_0 - 1, c_0111_2 - 3/7*c_1101_2^2*u - 1/7*c_1101_2^2 + 4/7*c_1101_2*u - 1/7*c_1101_2 - 1/7*u - 5/7, c_0201_0 - 4/7*c_1101_2^2*u + 1/7*c_1101_2^2 + 10/7*c_1101_2*u - 6/7*c_1101_2 + 1/7*u - 9/7, c_0201_1 + 2/7*c_1101_2^2*u + 3/7*c_1101_2^2 - 5/7*c_1101_2*u - 4/7*c_1101_2 - 11/7*u - 13/7, c_1011_0 + 2/7*c_1101_2^2*u + 3/7*c_1101_2^2 - 5/7*c_1101_2*u - 4/7*c_1101_2 - 4/7*u + 1/7, c_1011_2 - 5/7*c_1101_2^2*u - 4/7*c_1101_2^2 + 9/7*c_1101_2*u + 3/7*c_1101_2 + 10/7*u + 1/7, c_1101_0 + 1/7*c_1101_2^2*u - 2/7*c_1101_2^2 + 1/7*c_1101_2*u + 12/7*c_1101_2 + 5/7*u + 11/7, c_1101_2^3 - c_1101_2^2*u - 3*c_1101_2^2 - 3*c_1101_2*u - 5*c_1101_2 - u - 1, u^2 + u + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ], [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 2849.780 Total time: 2849.969 seconds, Total memory usage: 123.41MB