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Loading file "m036__sl3_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation m036 geometric_solution 3.17729328 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 4 1 2 2 3 0132 0132 3120 0132 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 0 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 0 0 0 1.419643377607 0.606290729207 0 2 3 3 0132 2031 2031 1230 0 0 0 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 0 0 0 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 0.404256058023 0.254425889416 1 0 0 3 1302 0132 3120 3201 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 0 0 0 0 0 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 0.419643377607 0.606290729207 1 2 0 1 3012 2310 0132 1302 0 0 0 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 0 0 0 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 0.419643377607 0.606290729207 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_1002_0'], 'c_1020_3' : d['c_0210_2'] * d['u'] ** 2, 'c_1020_0' : d['c_1002_2'], 'c_1020_1' : d['c_0012_1'] * d['u'] ** 2, 'c_0201_0' : d['c_0021_3'], 'c_0201_1' : d['c_0012_0'] * d['u'] ** 2, 'c_0201_2' : d['c_0012_1'] * d['u'] ** 2, 'c_0201_3' : d['c_0012_0'] * d['u'] ** 2, 'c_2100_0' : d['c_0012_0'], 'c_2100_1' : d['c_0210_2'] * d['u'] ** 2, 'c_2100_2' : d['c_0012_3'] * d['u'] ** 2, 'c_2100_3' : d['c_0012_0'] * d['u'] ** 2, 'c_2010_2' : d['c_1002_2'], 'c_2010_3' : d['c_0120_2'] * d['u'] ** 1, 'c_2010_0' : d['c_1002_0'], 'c_2010_1' : d['c_0012_0'] * d['u'] ** 2, 'c_0102_0' : d['c_0012_3'], 'c_0102_1' : d['c_0012_1'] * d['u'] ** 2, 'c_0102_2' : d['c_0012_0'] * d['u'] ** 2, 'c_0102_3' : d['c_0012_1'] * d['u'] ** 2, 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : d['c_1101_1'], 'c_1101_2' : negation(d['c_1101_0']) * d['u'] ** 2, 'c_1101_3' : d['c_1101_3'], 'c_1200_2' : d['c_0021_3'] * d['u'] ** 1, 'c_1200_3' : d['c_0012_1'] * d['u'] ** 2, 'c_1200_0' : d['c_0012_1'] * d['u'] ** 1, 'c_1200_1' : d['c_0120_2'] * d['u'] ** 1, 'c_1110_2' : negation(d['c_1011_3']) * d['u'] ** 2, 'c_1110_3' : d['c_1101_1'], 'c_1110_0' : d['c_1101_3'] * d['u'] ** 1, 'c_1110_1' : d['c_0111_3'], 'c_0120_0' : d['c_0012_1'], 'c_0120_1' : d['c_0012_3'], 'c_0120_2' : d['c_0120_2'], 'c_0120_3' : d['c_0120_2'] * d['u'] ** 1, 'c_2001_0' : d['c_1002_2'], 'c_2001_1' : d['c_0120_2'] * d['u'] ** 1, 'c_2001_2' : d['c_1002_0'], 'c_2001_3' : d['c_1002_0'], 'c_0012_2' : d['c_0012_1'] * d['u'] ** 1, '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'] ** 1, 'c_0111_2' : d['c_0111_2'], 'c_0111_3' : d['c_0111_3'], 'c_0210_2' : d['c_0210_2'], 'c_0210_3' : d['c_0210_2'] * d['u'] ** 2, 'c_0210_0' : d['c_0012_0'] * d['u'] ** 1, 'c_0210_1' : d['c_0021_3'], 'c_1002_2' : d['c_1002_2'], 'c_1002_3' : d['c_1002_2'], 'c_1002_0' : d['c_1002_0'], 'c_1002_1' : d['c_0210_2'] * d['u'] ** 2, 'c_1011_2' : negation(d['c_1011_0']), 'c_1011_3' : d['c_1011_3'], 'c_1011_0' : d['c_1011_0'], 'c_1011_1' : d['c_0111_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'], 'c_0021_3' : d['c_0021_3']}), 'non_trivial_generalized_obstruction_class' : True} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 495.320 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_3, c_0021_3, c_0111_0, c_0111_2, c_0111_3, c_0120_2, c_0210_2, c_1002_0, c_1002_2, c_1011_0, c_1011_3, c_1101_0, c_1101_1, c_1101_3, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1/49*c_1101_3*u + 1/98*c_1101_3 - 1/49*u - 1/49, c_0012_0 - 1, c_0012_1 - 1, c_0012_3 - u - 1, c_0021_3 - u - 1, c_0111_0 - 1, c_0111_2 + c_1101_3*u + c_1101_3 - 2*u - 2, c_0111_3 - c_1101_3 - u + 1, c_0120_2 + c_1101_3 + u - 2, c_0210_2 + c_1101_3*u - 2*u + 1, c_1002_0 + c_1101_3*u + c_1101_3 + u, c_1002_2 + c_1101_3*u + c_1101_3 + 1, c_1011_0 + 1, c_1011_3 - 2*u - 2, c_1101_0 - c_1101_3*u - c_1101_3 + 1, c_1101_1 + 1, c_1101_3^2 - 2*c_1101_3 - 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_3, c_0021_3, c_0111_0, c_0111_2, c_0111_3, c_0120_2, c_0210_2, c_1002_0, c_1002_2, c_1011_0, c_1011_3, c_1101_0, c_1101_1, c_1101_3, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1/98*c_1101_3*u + 1/98*c_1101_3 + 1/49, c_0012_0 - 1, c_0012_1 - u, c_0012_3 + u, c_0021_3 + u, c_0111_0 - 1, c_0111_2 + c_1101_3*u + c_1101_3 + 2*u, c_0111_3 + c_1101_3*u + c_1101_3 + 2*u + 1, c_0120_2 - c_1101_3*u - c_1101_3 - 3*u - 1, c_0210_2 - c_1101_3*u - c_1101_3 - 2*u + 1, c_1002_0 - c_1101_3*u - u - 1, c_1002_2 - c_1101_3 + 1, c_1011_0 - u - 1, c_1011_3 - 2*u - 2, c_1101_0 + c_1101_3*u + u, c_1101_1 - u - 1, c_1101_3^2 + 2*c_1101_3*u + 2*c_1101_3 - u, 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_3, c_0021_3, c_0111_0, c_0111_2, c_0111_3, c_0120_2, c_0210_2, c_1002_0, c_1002_2, c_1011_0, c_1011_3, c_1101_0, c_1101_1, c_1101_3, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1/98*c_1101_3*u - 1/49*c_1101_3 + 1/49*u, c_0012_0 - 1, c_0012_1 + u + 1, c_0012_3 + 1, c_0021_3 + 1, c_0111_0 - 1, c_0111_2 + c_1101_3*u + c_1101_3 + 2, c_0111_3 - c_1101_3*u - u - 2, c_0120_2 + c_1101_3*u + 2*u + 3, c_0210_2 + c_1101_3 - 2*u + 1, c_1002_0 - c_1101_3 + 1, c_1002_2 - c_1101_3*u + 1, c_1011_0 + u, c_1011_3 - 2*u - 2, c_1101_0 + c_1101_3 - u - 1, c_1101_1 + u, c_1101_3^2 - 2*c_1101_3*u + 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_3, c_0021_3, c_0111_0, c_0111_2, c_0111_3, c_0120_2, c_0210_2, c_1002_0, c_1002_2, c_1011_0, c_1011_3, c_1101_0, c_1101_1, c_1101_3, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 87/67*c_1101_3^4*u + 87/67*c_1101_3^4 + 105/134*c_1101_3^3*u + 299/134*c_1101_3^2 + 146/67*c_1101_3*u + 146/67*c_1101_3 + 289/134*u, c_0012_0 - 1, c_0012_1 - u, c_0012_3 + 6*c_1101_3^4*u + 3*c_1101_3^4 - 3*c_1101_3^3 - c_1101_3^2*u + c_1101_3^2 + 3*c_1101_3*u + 2*c_1101_3 - 2, c_0021_3 + 3*c_1101_3^4*u + 6*c_1101_3^4 + 3*c_1101_3^3*u + 3*c_1101_3^3 + c_1101_3^2*u + 2*c_1101_3^2 + 2*c_1101_3*u + 3*c_1101_3 + 2*u + 2, c_0111_0 - 1, c_0111_2 - c_1101_3*u - c_1101_3, c_0111_3 + 3*c_1101_3^4*u + 3*c_1101_3^4 + 3*c_1101_3^3*u + c_1101_3^2*u + c_1101_3^2 + 2*c_1101_3*u + 2*c_1101_3 + u, c_0120_2 - 3*c_1101_3^3*u - 3*c_1101_3^3 + c_1101_3*u - u - 1, c_0210_2 + 3*c_1101_3^3 + c_1101_3 + 1, c_1002_0 - 3*c_1101_3^3*u - 3*c_1101_3^3 - c_1101_3*u - c_1101_3 - u - 1, c_1002_2 + 3*c_1101_3^3 - c_1101_3*u - c_1101_3 + 1, c_1011_0 - 3*c_1101_3^3*u - 3*c_1101_3^3 - c_1101_3 - u - 1, c_1011_3 + 3*c_1101_3^3*u + 3*c_1101_3^3 + c_1101_3 + 2*u + 2, c_1101_0 - 3*c_1101_3^4*u + 3*c_1101_3^3 - c_1101_3^2 - 2*c_1101_3*u + 1, c_1101_1 - 3*c_1101_3^3*u - 3*c_1101_3^3 - c_1101_3 - u - 1, c_1101_3^5 + c_1101_3^4*u + c_1101_3^4 + 1/3*c_1101_3^3*u + 2/3*c_1101_3^2 + 2/3*c_1101_3*u + 2/3*c_1101_3 + 1/3*u, 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_3, c_0021_3, c_0111_0, c_0111_2, c_0111_3, c_0120_2, c_0210_2, c_1002_0, c_1002_2, c_1011_0, c_1011_3, c_1101_0, c_1101_1, c_1101_3, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 87/67*c_1101_3^4*u - 105/134*c_1101_3^3*u - 105/134*c_1101_3^3 + 299/134*c_1101_3^2 - 146/67*c_1101_3*u - 289/134*u - 289/134, c_0012_0 - 1, c_0012_1 + u + 1, c_0012_3 + 6*c_1101_3^4*u + 3*c_1101_3^4 + 3*c_1101_3^3*u + 3*c_1101_3^3 + 2*c_1101_3^2*u + c_1101_3^2 + 3*c_1101_3*u + 2*c_1101_3 + 2*u + 2, c_0021_3 + 3*c_1101_3^4*u + 6*c_1101_3^4 - 3*c_1101_3^3*u + c_1101_3^2*u - c_1101_3^2 + 2*c_1101_3*u + 3*c_1101_3 - 2*u, c_0111_0 - 1, c_0111_2 - c_1101_3*u - c_1101_3, c_0111_3 - 3*c_1101_3^4*u - 3*c_1101_3^3*u - 3*c_1101_3^3 + c_1101_3^2*u + c_1101_3^2 - 2*c_1101_3*u - u - 1, c_0120_2 + 3*c_1101_3^3 + c_1101_3 + 1, c_0210_2 + 3*c_1101_3^3 + c_1101_3*u + 1, c_1002_0 + 3*c_1101_3^3 + c_1101_3*u + 1, c_1002_2 + 3*c_1101_3^3 + c_1101_3 + 1, c_1011_0 + 3*c_1101_3^3*u - c_1101_3 + u, c_1011_3 + 3*c_1101_3^3*u + 3*c_1101_3^3 + c_1101_3*u + 2*u + 2, c_1101_0 - 3*c_1101_3^4 + 3*c_1101_3^3*u - c_1101_3^2 - 2*c_1101_3 + u, c_1101_1 + 3*c_1101_3^3*u - c_1101_3 + u, c_1101_3^5 - c_1101_3^4*u - 1/3*c_1101_3^3*u - 1/3*c_1101_3^3 + 2/3*c_1101_3^2 - 2/3*c_1101_3*u - 1/3*u - 1/3, 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_3, c_0021_3, c_0111_0, c_0111_2, c_0111_3, c_0120_2, c_0210_2, c_1002_0, c_1002_2, c_1011_0, c_1011_3, c_1101_0, c_1101_1, c_1101_3, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 87/67*c_1101_3^4 + 105/134*c_1101_3^3 + 299/134*c_1101_3^2 - 146/67*c_1101_3 + 289/134, c_0012_0 - 1, c_0012_1 - 1, c_0012_3 + 6*c_1101_3^4*u + 3*c_1101_3^4 - 3*c_1101_3^3*u - c_1101_3^2*u - 2*c_1101_3^2 + 3*c_1101_3*u + 2*c_1101_3 - 2*u, c_0021_3 + 3*c_1101_3^4*u + 6*c_1101_3^4 - 3*c_1101_3^3 - 2*c_1101_3^2*u - c_1101_3^2 + 2*c_1101_3*u + 3*c_1101_3 - 2, c_0111_0 - 1, c_0111_2 - c_1101_3*u - c_1101_3, c_0111_3 - 3*c_1101_3^4 + 3*c_1101_3^3 + c_1101_3^2*u + c_1101_3^2 - 2*c_1101_3 + 1, c_0120_2 + 3*c_1101_3^3*u - c_1101_3*u - c_1101_3 + u, c_0210_2 + 3*c_1101_3^3 - c_1101_3*u - c_1101_3 + 1, c_1002_0 + 3*c_1101_3^3*u + c_1101_3 + u, c_1002_2 + 3*c_1101_3^3 + c_1101_3*u + 1, c_1011_0 + 3*c_1101_3^3 - c_1101_3 + 1, c_1011_3 + 3*c_1101_3^3*u + 3*c_1101_3^3 - c_1101_3*u - c_1101_3 + 2*u + 2, c_1101_0 + 3*c_1101_3^4*u + 3*c_1101_3^4 - 3*c_1101_3^3*u - 3*c_1101_3^3 - c_1101_3^2 + 2*c_1101_3*u + 2*c_1101_3 - u - 1, c_1101_1 + 3*c_1101_3^3 - c_1101_3 + 1, c_1101_3^5 - c_1101_3^4 + 1/3*c_1101_3^3 + 2/3*c_1101_3^2 - 2/3*c_1101_3 + 1/3, u^2 + u + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ], [ ], [ ], [ ], [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 495.320 Total time: 495.519 seconds, Total memory usage: 620.16MB