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Loading file "m129__sl3_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation m129 geometric_solution 3.66386238 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 4 1 2 3 1 0132 0132 0132 3201 0 1 0 1 0 1 -1 0 -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 -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 1.000000000000 1.000000000000 0 0 3 2 0132 2310 3120 3120 0 1 1 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 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 1 0 3 3 3120 0132 0213 3120 0 1 1 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 0 0 0 0 0 0 0 1 0 -1 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 0.500000000000 0.500000000000 2 2 1 0 3120 0213 3120 0132 0 1 1 0 0 -1 0 1 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 0 0 0 0 0 -1 0 0 1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0021_3'] * d['u'] ** 1, 'c_1020_3' : d['c_0021_3'] * d['u'] ** 1, 'c_1020_0' : d['c_1002_2'], 'c_1020_1' : d['c_0012_0'] * d['u'] ** 2, 'c_0201_0' : d['c_0201_0'], 'c_0201_1' : d['c_0012_0'] * d['u'] ** 2, 'c_0201_2' : d['c_0021_3'] * d['u'] ** 1, 'c_0201_3' : d['c_0021_3'] * d['u'] ** 1, 'c_2100_0' : d['c_0012_1'] * d['u'] ** 1, 'c_2100_1' : d['c_0012_3'] * d['u'] ** 2, 'c_2100_2' : d['c_0012_3'] * d['u'] ** 1, 'c_2100_3' : d['c_0012_1'], 'c_2010_2' : d['c_0012_3'] * d['u'] ** 2, 'c_2010_3' : d['c_0012_3'] * d['u'] ** 2, 'c_2010_0' : d['c_1002_1'], 'c_2010_1' : d['c_0012_1'], 'c_0102_0' : d['c_0102_0'], 'c_0102_1' : d['c_0012_1'], 'c_0102_2' : d['c_0012_3'] * d['u'] ** 2, 'c_0102_3' : d['c_0012_3'] * d['u'] ** 2, 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : d['c_1101_1'], 'c_1101_2' : d['c_1011_3'] * d['u'] ** 2, 'c_1101_3' : negation(d['c_1101_1']), 'c_1200_2' : d['c_0021_3'] * d['u'] ** 2, 'c_1200_3' : d['c_0012_0'] * d['u'] ** 2, 'c_1200_0' : d['c_0012_0'] * d['u'] ** 1, 'c_1200_1' : d['c_0021_3'] * d['u'] ** 1, 'c_1110_2' : d['c_0111_3'] * d['u'] ** 1, 'c_1110_3' : d['c_1101_0'] * d['u'] ** 2, 'c_1110_0' : negation(d['c_1011_1']) * d['u'] ** 1, 'c_1110_1' : d['c_0111_2'] * d['u'] ** 1, 'c_0120_0' : d['c_0012_1'] * d['u'] ** 1, 'c_0120_1' : d['c_0102_0'] * d['u'] ** 1, 'c_0120_2' : d['c_0102_0'] * d['u'] ** 2, 'c_0120_3' : d['c_0102_0'] * d['u'] ** 2, 'c_2001_0' : d['c_0012_3'] * d['u'] ** 2, 'c_2001_1' : d['c_1002_2'], 'c_2001_2' : d['c_1002_1'], 'c_2001_3' : d['c_1002_1'], 'c_0012_2' : d['c_0012_1'] * d['u'] ** 2, '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']), 'c_0111_2' : d['c_0111_2'], 'c_0111_3' : d['c_0111_3'], 'c_0210_2' : d['c_0201_0'] * d['u'] ** 1, 'c_0210_3' : d['c_0201_0'] * d['u'] ** 1, 'c_0210_0' : d['c_0012_0'] * d['u'] ** 1, 'c_0210_1' : d['c_0201_0'] * d['u'] ** 2, 'c_1002_2' : d['c_1002_2'], 'c_1002_3' : d['c_1002_2'], 'c_1002_0' : d['c_0021_3'] * d['u'] ** 1, 'c_1002_1' : d['c_1002_1'], '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_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'], 'c_0021_3' : d['c_0021_3']}), 'non_trivial_generalized_obstruction_class' : True} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 2.200 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_0102_0, c_0111_0, c_0111_2, c_0111_3, c_0201_0, c_1002_1, c_1002_2, c_1011_0, c_1011_1, c_1011_3, c_1101_0, c_1101_1, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 591028571/453987*c_1101_1^4*u + 423173200/453987*c_1101_1^4 + 407420855/453987*c_1101_1^3*u + 3275341255/453987*c_1101_1^3 - 1049479176/50443*c_1101_1^2*u - 377261271/50443*c_1101_1^2 - 737031163/453987*c_1101_1*u - 7551634118/453987*c_1101_1 + 970945909/151329*u + 1933740436/151329, c_0012_0 - 1, c_0012_1 - u, c_0012_3 - 3761/50443*c_1101_1^4*u + 2432/50443*c_1101_1^4 - 29400/50443*c_1101_1^3*u - 26912/50443*c_1101_1^3 + 36532/50443*c_1101_1^2*u - 54900/50443*c_1101_1^2 + 34118/50443*c_1101_1*u + 52657/50443*c_1101_1 - 21771/50443*u - 22564/50443, c_0021_3 - 3761/50443*c_1101_1^4*u + 2432/50443*c_1101_1^4 - 29400/50443*c_1101_1^3*u - 26912/50443*c_1101_1^3 + 36532/50443*c_1101_1^2*u - 54900/50443*c_1101_1^2 + 34118/50443*c_1101_1*u + 52657/50443*c_1101_1 - 21771/50443*u - 22564/50443, c_0102_0 - 1, c_0111_0 - 1, c_0111_2 + 984/50443*c_1101_1^4*u - 2970/50443*c_1101_1^4 + 20970/50443*c_1101_1^3*u + 4989/50443*c_1101_1^3 + 26239/50443*c_1101_1^2*u + 54600/50443*c_1101_1^2 + 5210/50443*c_1101_1*u + 24260/50443*c_1101_1 - 3156/50443*u - 35996/50443, c_0111_3 + 7042/50443*c_1101_1^4*u + 5197/50443*c_1101_1^4 + 3049/50443*c_1101_1^3*u + 26784/50443*c_1101_1^3 - 48954/50443*c_1101_1^2*u - 28793/50443*c_1101_1^2 + 20266/50443*c_1101_1*u + 23108/50443*c_1101_1 + 8172/50443*u - 11132/50443, c_0201_0 + 8167/50443*c_1101_1^4*u + 2109/50443*c_1101_1^4 + 21795/50443*c_1101_1^3*u + 39716/50443*c_1101_1^3 - 83393/50443*c_1101_1^2*u - 8200/50443*c_1101_1^2 + 49291/50443*c_1101_1*u - 16208/50443*c_1101_1 + 24864/50443*u + 63979/50443, c_1002_1 + 984/50443*c_1101_1^4*u - 2970/50443*c_1101_1^4 + 20970/50443*c_1101_1^3*u + 4989/50443*c_1101_1^3 + 26239/50443*c_1101_1^2*u + 54600/50443*c_1101_1^2 - 45233/50443*c_1101_1*u + 24260/50443*c_1101_1 + 47287/50443*u + 14447/50443, c_1002_2 - 3891/50443*c_1101_1^4*u - 6403/50443*c_1101_1^4 + 23809/50443*c_1101_1^3*u - 17421/50443*c_1101_1^3 + 91403/50443*c_1101_1^2*u + 83064/50443*c_1101_1^2 - 19679/50443*c_1101_1*u + 26486/50443*c_1101_1 + 25398/50443*u - 8376/50443, c_1011_0 + 1442/50443*c_1101_1^4*u + 4875/50443*c_1101_1^4 - 25249/50443*c_1101_1^3*u - 2839/50443*c_1101_1^3 - 36700/50443*c_1101_1^2*u - 65164/50443*c_1101_1^2 + 27115/50443*c_1101_1*u + 24889/50443*c_1101_1 - 934/50443*u + 21889/50443, c_1011_1 - 2970/50443*c_1101_1^4*u - 3954/50443*c_1101_1^4 + 4989/50443*c_1101_1^3*u - 15981/50443*c_1101_1^3 + 54600/50443*c_1101_1^2*u + 28361/50443*c_1101_1^2 + 24260/50443*c_1101_1*u + 19050/50443*c_1101_1 + 14447/50443*u - 32840/50443, c_1011_3 + 3292/50443*c_1101_1^4*u - 1324/50443*c_1101_1^4 + 24634/50443*c_1101_1^3*u + 17306/50443*c_1101_1^3 - 18229/50443*c_1101_1^2*u + 20264/50443*c_1101_1^2 + 24402/50443*c_1101_1*u - 13982/50443*c_1101_1 + 2975/50443*u - 9287/50443, c_1101_0 - 4751/50443*c_1101_1^4*u + 1114/50443*c_1101_1^4 - 27737/50443*c_1101_1^3*u - 32239/50443*c_1101_1^3 + 54732/50443*c_1101_1^2*u - 28632/50443*c_1101_1^2 + 8576/50443*c_1101_1*u + 59007/50443*c_1101_1 - 141/50443*u + 118/50443, c_1101_1^5 - 6*c_1101_1^4*u - c_1101_1^4 - 6*c_1101_1^3*u - 16*c_1101_1^3 + 11*c_1101_1^2*u + 4*c_1101_1^2 - 11*c_1101_1*u - c_1101_1 + u + 2, u^2 + u + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 2.200 Total time: 2.410 seconds, Total memory usage: 32.09MB