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Loading file "m038__sl3_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation m038 geometric_solution 3.17729328 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 4 1 2 3 1 0132 0132 0132 0321 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 -1 -1 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.771844506346 1.115142508040 0 0 3 2 0132 0321 3012 2310 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 1 0 -1 1 0 -1 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 0.595743941977 0.254425889416 1 0 3 3 3201 0132 3201 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 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 0.580356622393 0.606290729207 2 1 2 0 2310 1230 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0.176100564369 0.860716618624 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0012_0'], 'c_1020_3' : d['c_0012_0'], 'c_1020_0' : d['c_0201_3'], 'c_1020_1' : d['c_0201_3'], 'c_0201_0' : d['c_0102_2'], 'c_0201_1' : d['c_0012_1'], 'c_0201_2' : d['c_0102_0'], 'c_0201_3' : d['c_0201_3'], 'c_2100_0' : d['c_0012_3'], 'c_2100_1' : d['c_0012_0'], 'c_2100_2' : d['c_0012_3'], 'c_2100_3' : d['c_0012_3'], 'c_2010_2' : d['c_0012_1'], 'c_2010_3' : d['c_0012_1'], 'c_2010_0' : d['c_0102_3'], 'c_2010_1' : d['c_0102_3'], 'c_0102_0' : d['c_0102_0'], 'c_0102_1' : d['c_0012_0'], 'c_0102_2' : d['c_0102_2'], 'c_0102_3' : d['c_0102_3'], 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : d['c_1011_3'], 'c_1101_2' : negation(d['c_0111_3']), 'c_1101_3' : d['c_1101_3'], 'c_1200_2' : d['c_0021_3'], 'c_1200_3' : d['c_0021_3'], 'c_1200_0' : d['c_0021_3'], 'c_1200_1' : d['c_0012_1'], 'c_1110_2' : d['c_1101_3'], 'c_1110_3' : d['c_1101_0'], 'c_1110_0' : negation(d['c_1011_1']), 'c_1110_1' : d['c_0111_2'], 'c_0120_0' : d['c_0012_0'], 'c_0120_1' : d['c_0102_0'], 'c_0120_2' : d['c_0102_3'], 'c_0120_3' : d['c_0102_0'], 'c_2001_0' : d['c_0012_1'], 'c_2001_1' : d['c_0012_3'], 'c_2001_2' : d['c_0102_3'], 'c_2001_3' : d['c_0012_1'], 'c_0012_2' : d['c_0012_1'], '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_3'], 'c_0210_3' : d['c_0102_2'], 'c_0210_0' : d['c_0012_1'], 'c_0210_1' : d['c_0102_2'], 'c_1002_2' : d['c_0201_3'], 'c_1002_3' : d['c_0012_0'], 'c_1002_0' : d['c_0012_0'], 'c_1002_1' : d['c_0021_3'], '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'], 'c_0021_1' : d['c_0012_0'], 'c_0021_2' : d['c_0012_0'], 'c_0021_3' : d['c_0021_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 64.320 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_3, c_0021_3, c_0102_0, c_0102_2, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0201_3, c_1011_0, c_1011_1, c_1011_3, c_1101_0, c_1101_3 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ t*c_1101_0*c_1101_3^2 + t*c_1101_0*c_1101_3 + 144/65*t*c_1101_3^10 - 48/13*t*c_1101_3^9 + 20/13*t*c_1101_3^8 + 428/65*t*c_1101_3^7 - 396/65*t*c_1101_3^6 + 94/65*t*c_1101_3^5 + 47/13*t*c_1101_3^4 - 158/65*t*c_1101_3^3 + 4/5*t*c_1101_3^2 + 11/65*t*c_1101_3 - 5852/65*c_1011_1 - 792/13*c_1101_0*c_1101_3^2 + 3165/13*c_1101_0*c_1101_3 - 1027/5*c_1101_0 + 4482/65*c_1101_3^3 - 14193/65*c_1101_3^2 + 18289/65*c_1101_3 - 7841/130, t*c_1101_3^11 - 2*t*c_1101_3^10 + 5/4*t*c_1101_3^9 + 5/2*t*c_1101_3^8 - 7/2*t*c_1101_3^7 + 7/4*t*c_1101_3^6 + 13/16*t*c_1101_3^5 - 5/4*t*c_1101_3^4 + 15/16*t*c_1101_3^3 - 3/8*t*c_1101_3^2 + 1/8*t*c_1101_3 + 1875/32*c_1011_1 - 55/2*c_1101_0*c_1101_3^3 + 1905/16*c_1101_0*c_1101_3^2 - 1685/8*c_1101_0*c_1101_3 + 1205/8*c_1101_0 + 249/8*c_1101_3^4 - 1743/16*c_1101_3^3 + 401/2*c_1101_3^2 - 3113/16*c_1101_3 + 813/16, c_0012_0 - 1, c_0012_1 + 1, c_0012_3 - c_1011_1 + 2*c_1101_0 - c_1101_3 + 1, c_0021_3 + c_1011_1 - 2*c_1101_0 + c_1101_3 - 1, c_0102_0 + c_1011_1 - 2*c_1101_0 + c_1101_3, c_0102_2 - c_1011_1 + 2*c_1101_0 - c_1101_3, c_0102_3 + c_1011_1 - 2*c_1101_0 + c_1101_3 - 1, c_0111_0 - 1, c_0111_2 - c_1101_0, c_0111_3 - c_1011_1 - 2*c_1101_0 + c_1101_3 - 1, c_0201_3 - c_1011_1 + 2*c_1101_0 - c_1101_3 + 1, c_1011_0 + 2*c_1101_0 - c_1101_3 + 1, c_1011_1^2 - 4/5*c_1101_0*c_1101_3 + 6/5*c_1101_0 + 3/5*c_1101_3^2 - 8/5*c_1101_3 + 4/5, c_1011_1*c_1101_0 + c_1011_1 - 7/5*c_1101_0*c_1101_3 + 8/5*c_1101_0 + 4/5*c_1101_3^2 - 9/5*c_1101_3 + 2/5, c_1011_1*c_1101_3 + c_1011_1 - 2*c_1101_0*c_1101_3 + 3*c_1101_0 + c_1101_3^2 - 3*c_1101_3 + 1, c_1011_3 + 2*c_1101_0 - c_1101_3 + 1, c_1101_0^2 - 6/5*c_1101_0*c_1101_3 + 4/5*c_1101_0 + 2/5*c_1101_3^2 - 2/5*c_1101_3 + 1/5 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0012_3, c_0021_3, c_0102_0, c_0102_2, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0201_3, c_1011_0, c_1011_1, c_1011_3, c_1101_0, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 4/625*c_1101_3 + 1/125, c_0012_0 - 1, c_0012_1 - 1, c_0012_3 + 4*c_1101_3 - 7, c_0021_3 - 4*c_1101_3 + 5, c_0102_0 - 2, c_0102_2 - 2, c_0102_3 + 4*c_1101_3 - 7, c_0111_0 - 1, c_0111_2 - 2*c_1101_3 + 3, c_0111_3 - 4*c_1101_3 + 7, c_0201_3 - 4*c_1101_3 + 5, c_1011_0 - c_1101_3 + 1, c_1011_1 + 3*c_1101_3 - 4, c_1011_3 - c_1101_3 + 1, c_1101_0 - 2*c_1101_3 + 3, c_1101_3^2 - 3*c_1101_3 + 5/2 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0012_3, c_0021_3, c_0102_0, c_0102_2, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0201_3, c_1011_0, c_1011_1, c_1011_3, c_1101_0, 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_3 + 1, c_0021_3 + 1, c_0102_0 + 4*c_1101_3 - 2, c_0102_2 + 4*c_1101_3 - 2, c_0102_3 + 1, c_0111_0 - 1, c_0111_2 - 2*c_1101_3 + 1, c_0111_3 - 1, c_0201_3 + 1, c_1011_0 - c_1101_3 + 1, c_1011_1 - c_1101_3, c_1011_3 - c_1101_3 + 1, c_1101_0 - 2*c_1101_3 + 1, c_1101_3^2 - c_1101_3 + 1/2 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0012_3, c_0021_3, c_0102_0, c_0102_2, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0201_3, c_1011_0, c_1011_1, c_1011_3, c_1101_0, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 60244*c_1101_3^2 + 99270*c_1101_3 + 85525, c_0012_0 - 1, c_0012_1 - 1, c_0012_3 - 2*c_1101_3 - 1, c_0021_3 - 2*c_1101_3 - 1, c_0102_0 + 2*c_1101_3, c_0102_2 + 2*c_1101_3, c_0102_3 - 2*c_1101_3 - 1, c_0111_0 - 1, c_0111_2 + 2*c_1101_3^2 + 2*c_1101_3 + 1, c_0111_3 - 2*c_1101_3 - 1, c_0201_3 - 2*c_1101_3 - 1, c_1011_0 - c_1101_3 - 1, c_1011_1 + c_1101_3, c_1011_3 - c_1101_3 - 1, c_1101_0 + 2*c_1101_3^2 + 2*c_1101_3 + 1, c_1101_3^3 + 2*c_1101_3^2 + 2*c_1101_3 + 1/2 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0012_3, c_0021_3, c_0102_0, c_0102_2, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0201_3, c_1011_0, c_1011_1, c_1011_3, c_1101_0, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 715/2*c_1101_0*c_1101_3^2 + 4003/8*c_1101_0*c_1101_3 - 175*c_1101_0 - 10389/34*c_1101_3^2 + 37261/136*c_1101_3 - 1495/34, c_0012_0 - 1, c_0012_1 - 2*c_1101_0*c_1101_3^2 - 3/2*c_1101_0*c_1101_3 + 3/2*c_1101_0 + 4*c_1101_3^2 - 3*c_1101_3 + 3/2, c_0012_3 - 2*c_1101_0*c_1101_3 + 1/2*c_1101_0 + 2*c_1101_3^2 - 1/2*c_1101_3, c_0021_3 - 2*c_1101_0*c_1101_3 + 1/2*c_1101_0 + 2*c_1101_3^2 - 1/2*c_1101_3, c_0102_0 + 6*c_1101_0*c_1101_3^2 - 15/2*c_1101_0*c_1101_3 + 5/2*c_1101_0 - 4*c_1101_3^2 + 3*c_1101_3 - 5/2, c_0102_2 - 2*c_1101_0*c_1101_3 + 1/2*c_1101_0 + 6*c_1101_3^2 - 3/2*c_1101_3 + 1, c_0102_3 - 2*c_1101_0*c_1101_3 + 1/2*c_1101_0 + 2*c_1101_3^2 - 1/2*c_1101_3, c_0111_0 - 1, c_0111_2 + c_1101_0 - 4*c_1101_3^2 + c_1101_3 - 1, c_0111_3 - 4*c_1101_3^2 + 3*c_1101_3 - 1, c_0201_3 - 2*c_1101_0*c_1101_3 + 1/2*c_1101_0 + 2*c_1101_3^2 - 1/2*c_1101_3, c_1011_0 + 4*c_1101_0*c_1101_3^2 - 5*c_1101_0*c_1101_3 + c_1101_0 + c_1101_3 - 1, c_1011_1 + c_1101_3, c_1011_3 - 4*c_1101_0*c_1101_3^2 + 5*c_1101_0*c_1101_3 - c_1101_0 - 4*c_1101_3^2 + 2*c_1101_3 - 1, c_1101_0^2 - 4*c_1101_0*c_1101_3^2 + c_1101_0*c_1101_3 - c_1101_0 + 6*c_1101_3^2 - 3*c_1101_3 + 2, c_1101_3^3 - 5/4*c_1101_3^2 + 3/4*c_1101_3 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1101_3" ], [ ], [ ], [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 64.330 Total time: 64.530 seconds, Total memory usage: 559.38MB