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Loading file "m004__sl4_c0.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): { 's_3_1' : d['1'], 's_3_0' : d['1'], 'c_0022_1' : d['c_0022_0'], 'c_0022_0' : d['c_0022_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 'c_3001_1' : negation(d['c_0013_0']), 'c_3001_0' : d['c_0301_1'], 'c_2101_1' : d['c_1012_0'], 'c_3100_1' : negation(d['c_0103_1']), 'c_3100_0' : negation(d['c_0013_0']), 'c_2011_1' : d['c_1102_0'], 'c_0031_0' : negation(d['c_0013_1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 'c_0103_1' : d['c_0103_1'], 'c_0103_0' : d['c_0013_0'], 's_0_1' : d['1'], 's_0_0' : d['1'], 'c_0202_0' : d['c_0022_0'], 'c_1120_1' : d['c_1120_1'], 'c_1021_0' : d['c_1021_0'], 'c_0301_1' : d['c_0301_1'], 'c_1201_1' : d['c_1201_1'], 'c_1201_0' : negation(d['c_1012_1']), 'c_0202_1' : d['c_0202_1'], 'c_0301_0' : negation(d['c_0013_1']), 'c_0220_0' : d['c_0202_1'], 'c_0220_1' : d['c_0022_0'], 'c_1102_0' : d['c_1102_0'], 'c_3010_1' : negation(d['c_0103_1']), 'c_3010_0' : d['c_0301_1'], 'c_2110_1' : negation(d['c_1120_0']), 'c_2110_0' : negation(d['c_1120_1']), 'c_0121_1' : d['c_0112_0'], 'c_0121_0' : d['c_0112_1'], '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']), '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']), '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'], 'c_0130_0' : d['c_0103_1'], 'c_1120_0' : d['c_1120_0'], 'c_0112_1' : d['c_0112_1'], 'c_0112_0' : d['c_0112_0'], 'c_0310_1' : negation(d['c_0013_1']), 'c_0310_0' : d['c_0301_1'], 'c_2020_1' : d['c_0202_1'], 'c_2020_0' : d['c_0202_1'], 'c_1111_0' : d['c_1111_0'], 'c_1111_1' : d['c_1111_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 539.190 PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 21 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 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ t*c_0202_1 - t*c_1210_0^4 - 2*t*c_1210_0^3 - t*c_1210_0^2 + 2*t*c_1210_0 + 2*t + 8*c_0202_1^6*c_1210_0 + 16*c_0202_1^6 + 12*c_0202_1^5*c_1210_0 + 12*c_0202_1^5 + 12*c_0202_1^4*c_1210_0 + 21*c_0202_1^4 + 8*c_0202_1^3*c_1210_0 + 4*c_0202_1^3 + 16/9*c_0202_1^2*c_1210_0 + 6*c_0202_1^2 + 4/3*c_0202_1*c_1210_0 - 8/9*c_0202_1 - 4/9*c_1210_0 + 5/9, t*c_1210_0^6 + 4*t*c_1210_0^5 + 5*t*c_1210_0^4 - 5*t*c_1210_0^2 - 4*t*c_1210_0 - t - 8*c_0202_1^5*c_1210_0 - 16*c_0202_1^5 - 12*c_0202_1^4*c_1210_0 - 12*c_0202_1^4 - 10*c_0202_1^3*c_1210_0 - 17*c_0202_1^3 - 6*c_0202_1^2*c_1210_0 - 3*c_0202_1^2 - 2/3*c_0202_1*c_1210_0 - 3*c_0202_1 - 2/3*c_1210_0 + 1/3, c_0013_0 - 1, c_0013_1 - 1, c_0022_0 - 1, c_0103_1 - 1, c_0112_0 - 1, c_0112_1 - c_1210_0 - 1, c_0202_1*c_1210_0^2 + 2*c_0202_1*c_1210_0 + c_1210_0^2 - 1, c_0211_0 + c_1210_0 + 1, c_0301_1 + 1, c_1012_0 + c_1210_0, c_1012_1 - 1, c_1021_0 - c_1210_0, c_1021_1 - c_1210_0 - 1, c_1102_0 + c_1210_0 + 1, c_1111_0 - c_1210_0^2 - 2*c_1210_0, c_1111_1 - c_1210_0^2 - 2*c_1210_0, c_1120_0 + 1, c_1120_1 - c_1210_0, c_1201_1 - 1 ], Ideal of Polynomial ring of rank 21 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 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 8/3, c_0013_0 - 1, c_0013_1 - 1, c_0022_0 - 1, c_0103_1 + 4/3*c_1210_0^3 + 2*c_1210_0^2 + 4/3*c_1210_0 + 1/3, c_0112_0 - 1, c_0112_1 + c_1210_0 + 1, c_0202_1 + 4/3*c_1210_0^3 + 2*c_1210_0^2 + 4/3*c_1210_0 + 1/3, c_0211_0 - 4/3*c_1210_0^3 - 2*c_1210_0^2 - 1/3*c_1210_0 - 1/3, c_0301_1 - 4/3*c_1210_0^3 - 2*c_1210_0^2 - 4/3*c_1210_0 - 1/3, c_1012_0 + c_1210_0, c_1012_1 - 1, c_1021_0 - 4/3*c_1210_0^3 - 2*c_1210_0^2 - 1/3*c_1210_0 + 2/3, c_1021_1 + c_1210_0 + 1, c_1102_0 - 4/3*c_1210_0^3 - 2*c_1210_0^2 - 1/3*c_1210_0 - 1/3, c_1111_0 - 4/3*c_1210_0^3 - c_1210_0^2 + 2/3*c_1210_0 + 2/3, c_1111_1 - c_1210_0^2 - 2*c_1210_0, c_1120_0 - 1, c_1120_1 - 4/3*c_1210_0^3 - 2*c_1210_0^2 - 1/3*c_1210_0 + 2/3, c_1201_1 + 1, c_1210_0^4 + 2*c_1210_0^3 + c_1210_0^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1111_1" ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 539.200 Total time: 539.409 seconds, Total memory usage: 4211.50MB