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Loading file "m203__sl3_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation m203 geometric_solution 4.05976643 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 4 1 1 2 2 0132 1230 0132 1230 0 0 1 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 0 0 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 0.500000000000 0.866025403784 0 3 0 3 0132 0132 3012 3012 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 3 3 0 3012 3012 0132 0132 0 0 0 1 0 0 0 0 0 0 -1 1 -1 1 0 0 0 -1 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 2 1 1 2 1230 0132 1230 0132 0 0 1 0 0 0 0 0 -1 0 0 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 0 0 0 0 0 -1 1 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 0.866025403784 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0201_3'], 'c_1020_3' : d['c_0012_1'], 'c_1020_0' : d['c_0012_2'], 'c_1020_1' : d['c_0201_3'], 'c_0201_0' : d['c_0201_0'], 'c_0201_1' : d['c_0021_2'], 'c_0201_2' : d['c_0021_2'], 'c_0201_3' : d['c_0201_3'], 'c_2100_0' : d['c_0201_0'], 'c_2100_1' : d['c_0201_3'], 'c_2100_2' : d['c_0201_0'], 'c_2100_3' : d['c_0201_0'], 'c_2010_2' : d['c_0102_3'], 'c_2010_3' : d['c_0012_0'], 'c_2010_0' : d['c_0021_2'], 'c_2010_1' : d['c_0102_3'], 'c_0102_0' : d['c_0102_0'], 'c_0102_1' : d['c_0012_2'], 'c_0102_2' : d['c_0012_2'], 'c_0102_3' : d['c_0102_3'], 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : d['c_1011_0'], 'c_1101_2' : d['c_1101_2'], 'c_1101_3' : d['c_1101_3'], 'c_1200_2' : d['c_0102_0'], 'c_1200_3' : d['c_0102_0'], 'c_1200_0' : d['c_0102_0'], 'c_1200_1' : d['c_0102_3'], 'c_1110_2' : d['c_1101_0'], 'c_1110_3' : d['c_1101_2'], 'c_1110_0' : d['c_0111_2'], 'c_1110_1' : d['c_1101_3'], 'c_0120_0' : d['c_0012_2'], 'c_0120_1' : d['c_0102_0'], 'c_0120_2' : d['c_0102_0'], 'c_0120_3' : d['c_0012_2'], 'c_2001_0' : d['c_0102_3'], 'c_2001_1' : d['c_0012_0'], 'c_2001_2' : d['c_0012_0'], 'c_2001_3' : d['c_0102_3'], 'c_0012_2' : d['c_0012_2'], 'c_0012_3' : d['c_0012_0'], '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'], 'c_0210_3' : d['c_0021_2'], 'c_0210_0' : d['c_0021_2'], 'c_0210_1' : d['c_0201_0'], 'c_1002_2' : d['c_0012_1'], 'c_1002_3' : d['c_0201_3'], 'c_1002_0' : d['c_0201_3'], 'c_1002_1' : d['c_0012_1'], 'c_1011_2' : d['c_0111_3'], 'c_1011_3' : negation(d['c_1011_1']), 'c_1011_0' : d['c_1011_0'], 'c_1011_1' : d['c_1011_1'], 'c_0021_0' : d['c_0012_1'], 'c_0021_1' : d['c_0012_0'], 'c_0021_2' : d['c_0021_2'], 'c_0021_3' : d['c_0012_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 0.830 PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0012_2, c_0021_2, c_0102_0, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0201_0, c_0201_3, c_1011_0, c_1011_1, c_1101_0, c_1101_2, c_1101_3 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ t*c_1101_2*c_1101_3^2 + t*c_1101_2*c_1101_3 + 4756/637*t*c_1101_3^10 + 15402/637*t*c_1101_3^9 + 90319/1911*t*c_1101_3^8 + 38224/637*t*c_1101_3^7 + 2724/49*t*c_1101_3^6 + 1916/49*t*c_1101_3^5 + 1962/91*t*c_1101_3^4 + 7174/637*t*c_1101_3^3 + 7010/1911*t*c_1101_3^2 + t*c_1101_3 - 5099/1911*c_1011_1 - 1189/1911*c_1101_2*c_1101_3^2 - 6823/1911*c_1101_2*c_1101_3 - 235/637*c_1101_2 + 2378/1911*c_1101_3^3 - 3378/637*c_1101_3^2 - 8272/637*c_1101_3 - 1509/637, t*c_1101_3^11 + 7/2*t*c_1101_3^10 + 85/12*t*c_1101_3^9 + 113/12*t*c_1101_3^8 + 9*t*c_1101_3^7 + 13/2*t*c_1101_3^6 + 7/2*t*c_1101_3^5 + 3/2*t*c_1101_3^4 + 5/12*t*c_1101_3^3 + 1/12*t*c_1101_3^2 - 1/12*c_1011_1 - 1/12*c_1101_2*c_1101_3^3 - 1/2*c_1101_2*c_1101_3^2 - 1/6*c_1101_2*c_1101_3 + 5/24*c_1101_2 + 1/6*c_1101_3^4 - 2/3*c_1101_3^3 - 19/12*c_1101_3^2 - 1/3*c_1101_3 + 5/24, c_0012_0 - 1, c_0012_1 - 1, c_0012_2 - c_1011_1 - c_1101_3, c_0021_2 - c_1011_1 - c_1101_3, c_0102_0 - 1, c_0102_3 - c_1011_1 - c_1101_3, c_0111_0 - 1, c_0111_2 - 1/2*c_1101_2 + 1/2, c_0111_3 - c_1011_1 - 1/2*c_1101_2 - 1/2, c_0201_0 + 1, c_0201_3 + c_1011_1 + c_1101_3, c_1011_0 + c_1011_1 - 1/2*c_1101_2 - 1/2, c_1011_1^2 + c_1011_1 - c_1101_2 - c_1101_3^2 - c_1101_3, c_1011_1*c_1101_2 + c_1011_1 + c_1101_2*c_1101_3 - c_1101_3, c_1011_1*c_1101_3 + 1/2*c_1101_2 + c_1101_3^2 + c_1101_3 + 1/2, c_1101_0 - 1/2*c_1101_2 - c_1101_3 - 1/2, c_1101_2^2 + 2*c_1101_2*c_1101_3 + 2*c_1101_2 + 4*c_1101_3^2 + 2*c_1101_3 + 1 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0012_2, c_0021_2, c_0102_0, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0201_0, c_0201_3, c_1011_0, c_1011_1, c_1101_0, c_1101_2, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/32*c_1101_3 + 1/32, c_0012_0 - 1, c_0012_1 - 1, c_0012_2 + 1/2*c_1101_3, c_0021_2 - 1/2*c_1101_3 - 1/2, c_0102_0 - 1, c_0102_3 - 1, c_0111_0 - 1, c_0111_2 + c_1101_3, c_0111_3 - 1, c_0201_0 - 1, c_0201_3 - 1, c_1011_0 + 1, c_1011_1 + c_1101_3 + 1, c_1101_0 + 2, c_1101_2 + 1, c_1101_3^2 + c_1101_3 + 4 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0012_2, c_0021_2, c_0102_0, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0201_0, c_0201_3, c_1011_0, c_1011_1, c_1101_0, c_1101_2, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 2584/5*c_1101_3 + 28657/5, c_0012_0 - 1, c_0012_1 - 1, c_0012_2 - 1/5*c_1101_3 - 13/5, c_0021_2 - 1/5*c_1101_3 - 13/5, c_0102_0 - 1, c_0102_3 + 3/5*c_1101_3 - 1/5, c_0111_0 - 1, c_0111_2 - 1/5*c_1101_3 - 8/5, c_0111_3 - 1/5*c_1101_3 + 2/5, c_0201_0 - 1, c_0201_3 + 3/5*c_1101_3 - 1/5, c_1011_0 + 1/5*c_1101_3 - 2/5, c_1011_1 + 2/5*c_1101_3 + 1/5, c_1101_0 - 2/5*c_1101_3 - 1/5, c_1101_2 + 1, c_1101_3^2 + 11*c_1101_3 - 1 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0012_2, c_0021_2, c_0102_0, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0201_0, c_0201_3, c_1011_0, c_1011_1, c_1101_0, c_1101_2, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1, c_0012_0 - 1, c_0012_1 - 1, c_0012_2 + c_1101_3 + 1, c_0021_2 + c_1101_3 + 1, c_0102_0 - 1, c_0102_3 + c_1101_3 + 1, c_0111_0 - 1, c_0111_2 + c_1101_3, c_0111_3 - c_1101_3, c_0201_0 - 1, c_0201_3 + c_1101_3 + 1, c_1011_0 + c_1101_3, c_1011_1 - 1, c_1101_0 - 1, c_1101_2 + 1, c_1101_3^2 + c_1101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1101_3" ], [ ], [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 0.830 Total time: 1.040 seconds, Total memory usage: 32.09MB