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Loading file "m007__sl3_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation m007 geometric_solution 2.56897060 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 3 1 1 2 2 0132 2310 0132 3012 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 1 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 -0.102784715200 0.665456951153 0 2 2 0 0132 1023 2310 3201 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 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.226698825758 1.467711508710 1 1 0 0 1023 3201 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 -0.102784715200 0.665456951153 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0201_0'], 'c_1020_0' : d['c_0201_0'], 'c_1020_1' : d['c_0102_0'], 'c_0201_0' : d['c_0201_0'], 'c_0201_1' : d['c_0201_1'], 'c_0201_2' : d['c_0201_0'], 'c_2100_0' : d['c_0201_1'] * d['u'] ** 2, 'c_2100_1' : d['c_0012_0'], 'c_2100_2' : d['c_0201_1'] * d['u'] ** 1, 'c_2010_2' : d['c_0102_0'], 'c_2010_0' : d['c_0102_0'], 'c_2010_1' : d['c_0201_0'], '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_1101_0'], 'c_1101_1' : d['c_1011_2'], 'c_1101_2' : d['c_1101_2'], 'c_1200_2' : d['c_0102_1'] * d['u'] ** 2, 'c_1200_0' : d['c_0102_1'] * d['u'] ** 1, 'c_1200_1' : d['c_0012_1'] * d['u'] ** 1, 'c_1110_2' : d['c_1101_0'] * d['u'] ** 2, 'c_1110_0' : d['c_1101_2'] * d['u'] ** 2, 'c_1110_1' : negation(d['c_1011_0']), 'c_0120_0' : d['c_0102_1'] * d['u'] ** 1, 'c_0120_1' : d['c_0102_0'], 'c_0120_2' : d['c_0102_0'] * d['u'] ** 2, 'c_2001_0' : d['c_0102_0'], 'c_2001_1' : d['c_0201_0'], 'c_2001_2' : d['c_0102_1'], 'c_0012_2' : d['c_0012_1'] * d['u'] ** 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' : negation(d['c_0111_0']) * d['u'] ** 1, 'c_0111_2' : d['c_0111_2'], 'c_0210_2' : d['c_0201_0'] * d['u'] ** 1, 'c_0210_0' : d['c_0201_1'] * d['u'] ** 2, 'c_0210_1' : d['c_0201_0'], 'c_1002_2' : d['c_0201_1'], 'c_1002_0' : d['c_0201_0'], 'c_1002_1' : d['c_0102_0'], 'c_1011_2' : d['c_1011_2'], 'c_1011_0' : d['c_1011_0'], 'c_1011_1' : d['c_0111_2'] * d['u'] ** 2, 'c_0021_0' : d['c_0012_1'] * d['u'] ** 1, 'c_0021_1' : d['c_0012_0'] * d['u'] ** 1, 'c_0021_2' : d['c_0012_0']}), 'non_trivial_generalized_obstruction_class' : True} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 2132.270 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_0201_0, c_0201_1, c_1011_0, c_1011_2, c_1101_0, c_1101_2, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 1724204/1227935*c_1101_2^9*u + 4692173/2455870*c_1101_2^9 + 78334052/1227935*c_1101_2^6*u + 64002339/2455870*c_1101_2^6 - 216505881/2455870*c_1101_2^3*u - 253223438/1227935*c_1101_2^3 - 63123908/1227935*u + 138899197/2455870, c_0012_0 - 1, c_0012_1 - 1, c_0102_0 + 175409/3683805*c_1101_2^11*u - 189725/1473522*c_1101_2^11 - 12808628/3683805*c_1101_2^8*u - 8708791/1473522*c_1101_2^8 - 87474191/7367610*c_1101_2^5*u + 5735141/736761*c_1101_2^5 + 40851026/3683805*c_1101_2^2*u + 51362183/7367610*c_1101_2^2, c_0102_1 + 396067/7367610*c_1101_2^11*u + 311182/3683805*c_1101_2^11 + 20362751/7367610*c_1101_2^8*u + 5108381/3683805*c_1101_2^8 - 23359469/7367610*c_1101_2^5*u - 65178433/7367610*c_1101_2^5 - 22650251/7367610*c_1101_2^2*u + 6678817/3683805*c_1101_2^2, c_0111_0 - 1, c_0111_2 - 5287/245587*c_1101_2^9*u - 175251/2455870*c_1101_2^9 - 539349/245587*c_1101_2^6*u - 4643053/2455870*c_1101_2^6 - 454767/491174*c_1101_2^3*u + 6902786/1227935*c_1101_2^3 + 1865468/1227935*u + 297007/2455870, c_0201_0 - 126551/3683805*c_1101_2^10*u + 86131/7367610*c_1101_2^10 + 446972/3683805*c_1101_2^7*u + 10401503/7367610*c_1101_2^7 + 34394189/7367610*c_1101_2^4*u + 4024739/3683805*c_1101_2^4 - 4093487/3683805*c_1101_2*u - 21963089/7367610*c_1101_2, c_0201_1 + 156491/7367610*c_1101_2^10*u + 10943/1473522*c_1101_2^10 + 2818453/7367610*c_1101_2^7*u - 501365/1473522*c_1101_2^7 - 5316236/3683805*c_1101_2^4*u - 2893747/1473522*c_1101_2^4 - 6061681/7367610*c_1101_2*u + 3624601/7367610*c_1101_2, c_1011_0 - 27179/245587*c_1101_2^11*u - 1204707/2455870*c_1101_2^11 - 3651963/245587*c_1101_2^8*u - 34315501/2455870*c_1101_2^8 - 3825567/491174*c_1101_2^5*u + 50220992/1227935*c_1101_2^5 + 26377051/1227935*c_1101_2^2*u + 2174359/2455870*c_1101_2^2, c_1011_2 - 61804/245587*c_1101_2^11*u - 99929/491174*c_1101_2^11 - 1815664/245587*c_1101_2^8*u + 98089/491174*c_1101_2^8 + 10757571/491174*c_1101_2^5*u + 6468978/245587*c_1101_2^5 + 116773/245587*c_1101_2^2*u - 6769085/491174*c_1101_2^2, c_1101_0 - 122381/2455870*c_1101_2^10*u + 5287/245587*c_1101_2^10 + 750437/2455870*c_1101_2^7*u + 539349/245587*c_1101_2^7 + 16079407/2455870*c_1101_2^4*u + 454767/491174*c_1101_2^4 - 3433929/2455870*c_1101_2*u - 1865468/1227935*c_1101_2, c_1101_2^12 + 29*c_1101_2^9*u + 35*c_1101_2^9 + 42*c_1101_2^6*u - 76*c_1101_2^6 - 59*c_1101_2^3*u - 16*c_1101_2^3 - u, u^2 + u + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 2132.270 Total time: 2132.460 seconds, Total memory usage: 64.12MB