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Loading file "m010__sl3_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation m010 geometric_solution 2.66674478 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 3 1 2 1 2 0132 0132 2310 1023 0 0 0 0 0 -1 1 0 -1 0 0 1 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 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 0.500000000000 1.322875655532 0 0 2 2 0132 3201 3201 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375000000000 0.330718913883 1 0 1 0 2310 0132 0132 1023 0 0 0 0 0 1 0 -1 -1 0 1 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 -1 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0102_1'], 'c_1020_0' : d['c_0120_2'], 'c_1020_1' : d['c_0120_2'], 'c_0201_0' : d['c_0201_0'], 'c_0201_1' : d['c_0120_2'], 'c_0201_2' : d['c_0201_0'], 'c_2100_0' : d['c_0012_0'] * d['u'] ** 2, 'c_2100_1' : d['c_0012_1'] * d['u'] ** 2, 'c_2100_2' : d['c_0012_1'] * d['u'] ** 2, 'c_2010_2' : d['c_0120_2'], 'c_2010_0' : d['c_0102_1'], 'c_2010_1' : d['c_0102_1'], '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_1011_1'], 'c_1101_1' : negation(d['c_0111_2']), 'c_1101_2' : d['c_1101_2'], 'c_1200_2' : d['c_0012_0'], 'c_1200_0' : d['c_0012_1'], 'c_1200_1' : d['c_0012_0'], 'c_1110_2' : negation(d['c_1110_0']) * d['u'] ** 1, 'c_1110_0' : d['c_1110_0'], 'c_1110_1' : d['c_1101_2'], 'c_0120_0' : d['c_0102_1'] * d['u'] ** 2, 'c_0120_1' : d['c_0102_0'], 'c_0120_2' : d['c_0120_2'], 'c_2001_0' : d['c_0120_2'], 'c_2001_1' : d['c_0102_0'], 'c_2001_2' : d['c_0102_1'], 'c_0012_2' : d['c_0012_1'] * d['u'] ** 2, '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_0210_2' : d['c_0102_1'], 'c_0210_0' : d['c_0120_2'] * d['u'] ** 1, 'c_0210_1' : d['c_0201_0'], 'c_1002_2' : d['c_0120_2'], 'c_1002_0' : d['c_0102_1'], 'c_1002_1' : d['c_0201_0'], 'c_1011_2' : negation(d['c_1011_0']), 'c_1011_0' : d['c_1011_0'], 'c_1011_1' : d['c_1011_1'], 'c_0021_0' : d['c_0012_1'] * d['u'] ** 2, 'c_0021_1' : d['c_0012_0'] * d['u'] ** 2, 'c_0021_2' : d['c_0012_0']}), 'non_trivial_generalized_obstruction_class' : True} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 6235.130 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_0120_2, c_0201_0, c_1011_0, c_1011_1, c_1101_2, c_1110_0, u Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ t*c_0201_0^4 - t*c_0201_0^3*c_1110_0*u - 2*t*c_0201_0^3*c_1110_0 + t*c_0201_0^2*c_1110_0^2*u + t*c_0201_0^2*c_1110_0^2 + c_1110_0, c_0012_0 - 1, c_0012_1 - c_1110_0^2*u - c_1110_0^2, c_0102_0 + c_0201_0*u + c_0201_0, c_0102_1 + c_0201_0*c_1110_0 - c_1110_0^2, c_0111_0 - 1, c_0111_2 + c_1110_0^2*u, c_0120_2 - c_0201_0*c_1110_0^2 + u, c_1011_0 + c_1110_0*u, c_1011_1 + c_1110_0^2, c_1101_2 - u, c_1110_0^3 - 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_0120_2, c_0201_0, c_1011_0, c_1011_1, c_1101_2, c_1110_0, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 80/147*c_1110_0^6*u - 33/49*c_1110_0^6 - 58/49*c_1110_0^3*u - 1346/147*c_1110_0^3 - 701/49*u - 1492/147, c_0012_0 - 1, c_0012_1 + 31/98*c_1110_0^8*u + 1/98*c_1110_0^8 + 241/49*c_1110_0^5*u + 169/49*c_1110_0^5 + 299/49*c_1110_0^2*u - 251/98*c_1110_0^2, c_0102_0 + 3/49*c_1110_0^7*u + 8/49*c_1110_0^7 - 36/49*c_1110_0^4*u + 151/98*c_1110_0^4 + 265/98*c_1110_0*u + 429/98*c_1110_0, c_0102_1 - 2/49*c_1110_0^8*u + 11/49*c_1110_0^8 - 309/98*c_1110_0^5*u + 29/49*c_1110_0^5 + 68/49*c_1110_0^2*u + 477/98*c_1110_0^2, c_0111_0 - 1, c_0111_2 + 3/7*c_1110_0^8*u + 1/7*c_1110_0^8 + 37/7*c_1110_0^5*u + 38/7*c_1110_0^5 + 55/7*c_1110_0^2*u + 2/7*c_1110_0^2, c_0120_2 + 5/98*c_1110_0^6*u - 3/98*c_1110_0^6 + 54/49*c_1110_0^3*u + 43/98*c_1110_0^3 + 5/98*u - 26/49, c_0201_0 + 5/49*c_1110_0^7*u - 3/49*c_1110_0^7 + 223/98*c_1110_0^4*u + 36/49*c_1110_0^4 + 82/49*c_1110_0*u - 265/98*c_1110_0, c_1011_0 - c_1110_0*u, c_1011_1 + 1/7*c_1110_0^8*u - 2/7*c_1110_0^8 + 38/7*c_1110_0^5*u + 1/7*c_1110_0^5 + 2/7*c_1110_0^2*u - 53/7*c_1110_0^2, c_1101_2 + u, c_1110_0^9 - 11*c_1110_0^6*u + 5*c_1110_0^6 + 7*c_1110_0^3*u + 24*c_1110_0^3 + 1, u^2 + u + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0201_0" ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 6235.130 Total time: 6235.319 seconds, Total memory usage: 32.09MB