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Loading file "m006__sl3_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation m006 geometric_solution 2.56897060 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 3 0 0 1 2 1230 3012 0132 0132 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 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 0 0 0 0 0 0 0 0.773301174242 1.467711508710 2 2 2 0 1302 2031 1230 0132 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 0 0 0 -1 0 1 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335258229521 0.401127278779 1 1 0 1 1302 2031 0132 3012 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 1 0 -1 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 0.335258229521 0.401127278779 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0012_1'], 'c_1020_0' : d['c_0201_0'], 'c_1020_1' : d['c_0012_1'], 'c_0201_0' : d['c_0201_0'], 'c_0201_1' : d['c_0012_1'], 'c_0201_2' : d['c_0012_1'], 'c_2100_0' : d['c_0210_2'], 'c_2100_1' : d['c_0210_2'], 'c_2100_2' : d['c_0210_2'], 'c_2010_2' : d['c_0012_0'], 'c_2010_0' : d['c_0102_0'], 'c_2010_1' : d['c_0012_0'], 'c_0102_0' : d['c_0102_0'], 'c_0102_1' : d['c_0012_0'], 'c_0102_2' : d['c_0012_0'], 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : d['c_1101_1'], 'c_1101_2' : d['c_1101_2'], 'c_1200_2' : d['c_0120_2'], 'c_1200_0' : d['c_0120_2'], 'c_1200_1' : d['c_0120_2'], 'c_1110_2' : d['c_1101_1'], 'c_1110_0' : d['c_1101_2'], 'c_1110_1' : d['c_1101_0'], 'c_0120_0' : d['c_0012_0'], 'c_0120_1' : d['c_0102_0'], 'c_0120_2' : d['c_0120_2'], 'c_2001_0' : d['c_0012_0'], 'c_2001_1' : d['c_0120_2'], 'c_2001_2' : d['c_0102_0'], 'c_0012_2' : d['c_0012_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' : d['c_0111_1'], 'c_0111_2' : d['c_0111_2'], 'c_0210_2' : d['c_0210_2'], 'c_0210_0' : d['c_0012_1'], 'c_0210_1' : d['c_0201_0'], 'c_1002_2' : d['c_0201_0'], 'c_1002_0' : d['c_0012_1'], 'c_1002_1' : d['c_0210_2'], 'c_1011_2' : d['c_0111_1'], 'c_1011_0' : d['c_0111_0'], 'c_1011_1' : d['c_0111_2'], 'c_0021_0' : d['c_0012_1'], 'c_0021_1' : d['c_0012_0'], 'c_0021_2' : d['c_0012_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 0.870 PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0111_0, c_0111_1, c_0111_2, c_0120_2, c_0201_0, c_0210_2, c_1101_0, c_1101_1, c_1101_2 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ t*c_0210_2^5 + 2*t*c_0210_2^4*c_1101_2 - t*c_0210_2^4 - t*c_0210_2^3*c_1101_2 + t*c_0210_2^3 - t*c_0210_2^2*c_1101_2 - t*c_0210_2^2 - 1, c_0012_0 - 1, c_0012_1 - c_0210_2*c_1101_2 + c_0210_2 + c_1101_2 - 1, c_0102_0 - c_0210_2*c_1101_2 + c_0210_2 - 1, c_0111_0 - 1, c_0111_1 + 1, c_0111_2 + 1, c_0120_2 - c_0210_2*c_1101_2 + c_0210_2 - 1, c_0201_0 - c_0210_2, c_1101_0 - c_1101_2, c_1101_1 - c_1101_2, c_1101_2^2 - c_1101_2 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0111_0, c_0111_1, c_0111_2, c_0120_2, c_0201_0, c_0210_2, c_1101_0, c_1101_1, c_1101_2 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ t*c_1101_1^3 - t*c_1101_1^2*c_1101_2 - 2*t*c_1101_1^2 + t*c_1101_1*c_1101_2 + t*c_1101_1 - c_1101_2, c_0012_0 - 1, c_0012_1 + 1, c_0102_0 - c_1101_2 + 1, c_0111_0 - 1, c_0111_1 - c_1101_1 + c_1101_2 + 1, c_0111_2 + c_1101_1*c_1101_2 - c_1101_2, c_0120_2 - c_1101_2 + 1, c_0201_0 + c_1101_2 - 1, c_0210_2 + c_1101_2 - 1, c_1101_0 - c_1101_2, c_1101_2^2 - c_1101_2 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0111_0, c_0111_1, c_0111_2, c_0120_2, c_0201_0, c_0210_2, c_1101_0, c_1101_1, c_1101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 1299/4*c_1101_2^2 - 589/4*c_1101_2 - 2865/4, c_0012_0 - 1, c_0012_1 - 1, c_0102_0 - c_1101_2 - 1, c_0111_0 - 1, c_0111_1 - 1, c_0111_2 - 1/2*c_1101_2^2 + 1/2*c_1101_2 - 1/2, c_0120_2 - c_1101_2^2, c_0201_0 - c_1101_2 - 1, c_0210_2 - c_1101_2^2, c_1101_0 - c_1101_2, c_1101_1 + 1/2*c_1101_2^2 + 1/2*c_1101_2 - 1/2, c_1101_2^3 + 2*c_1101_2 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0111_0, c_0111_1, c_0111_2, c_0120_2, c_0201_0, c_0210_2, c_1101_0, c_1101_1, c_1101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 193/272*c_1101_2^5 + 339/272*c_1101_2^4 + 1197/272*c_1101_2^3 - 489/272*c_1101_2^2 + 325/272*c_1101_2 + 127/68, c_0012_0 - 1, c_0012_1 + 59/34*c_1101_2^5 + 39/17*c_1101_2^4 + 152/17*c_1101_2^3 - 156/17*c_1101_2^2 + 58/17*c_1101_2 + 343/34, c_0102_0 + 91/34*c_1101_2^5 + 59/17*c_1101_2^4 + 233/17*c_1101_2^3 - 253/17*c_1101_2^2 + 103/17*c_1101_2 + 525/34, c_0111_0 - 1, c_0111_1 - 1, c_0111_2 + 16/17*c_1101_2^5 + 20/17*c_1101_2^4 + 81/17*c_1101_2^3 - 97/17*c_1101_2^2 + 28/17*c_1101_2 + 91/17, c_0120_2 - 5/34*c_1101_2^5 - 1/17*c_1101_2^4 - 10/17*c_1101_2^3 + 21/17*c_1101_2^2 - 15/17*c_1101_2 - 55/34, c_0201_0 - 20/17*c_1101_2^5 - 25/17*c_1101_2^4 - 97/17*c_1101_2^3 + 117/17*c_1101_2^2 - 35/17*c_1101_2 - 135/17, c_0210_2 + 91/34*c_1101_2^5 + 59/17*c_1101_2^4 + 233/17*c_1101_2^3 - 253/17*c_1101_2^2 + 86/17*c_1101_2 + 525/34, c_1101_0 + 16/17*c_1101_2^5 + 20/17*c_1101_2^4 + 81/17*c_1101_2^3 - 97/17*c_1101_2^2 + 45/17*c_1101_2 + 91/17, c_1101_1 + 1, c_1101_2^6 + 2*c_1101_2^5 + 6*c_1101_2^4 - 2*c_1101_2^3 - 2*c_1101_2^2 + 7*c_1101_2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0210_2" ], [ "c_1101_1" ], [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 0.870 Total time: 1.060 seconds, Total memory usage: 32.09MB