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Loading file "m023__sl3_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation m023 geometric_solution 2.98912028 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 4 1 2 2 1 0132 0132 1023 3201 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 0 0 0 0 0 -1 0 1 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 0.203723267852 0.560667728005 0 0 3 3 0132 2310 2310 0132 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 0 0 0 0 0 0 0 0 -1 0 1 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 2.154659644077 1.804008823480 3 0 0 3 3012 0132 1023 1230 0 0 0 0 0 0 1 -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 1 0 -1 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203723267852 0.560667728005 2 1 1 2 3012 3201 0132 1230 0 0 0 0 0 0 0 0 1 0 0 -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 1 0 0 -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 -0.251686680526 0.393228424280 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0102_0'], 'c_1020_3' : d['c_0102_0'], 'c_1020_0' : d['c_0102_0'], 'c_1020_1' : d['c_0201_1'], 'c_0201_0' : d['c_0201_0'], 'c_0201_1' : d['c_0201_1'], 'c_0201_2' : d['c_0201_0'], 'c_0201_3' : d['c_0201_0'], 'c_2100_0' : d['c_0012_1'], 'c_2100_1' : d['c_0021_3'], 'c_2100_2' : d['c_0012_0'], 'c_2100_3' : d['c_0021_3'], 'c_2010_2' : d['c_0201_0'], 'c_2010_3' : d['c_0201_0'], 'c_2010_0' : d['c_0201_0'], 'c_2010_1' : d['c_0102_1'], 'c_0102_0' : d['c_0102_0'], 'c_0102_1' : d['c_0102_1'], 'c_0102_2' : d['c_0102_0'], 'c_0102_3' : d['c_0102_0'], 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : d['c_1011_3'], 'c_1101_2' : negation(d['c_1101_0']), 'c_1101_3' : d['c_1101_3'], 'c_1200_2' : d['c_0012_1'], 'c_1200_3' : d['c_0012_3'], 'c_1200_0' : d['c_0012_0'], 'c_1200_1' : d['c_0012_3'], 'c_1110_2' : d['c_0111_3'], 'c_1110_3' : d['c_0111_2'], 'c_1110_0' : negation(d['c_1011_1']), 'c_1110_1' : d['c_1101_3'], 'c_0120_0' : d['c_0102_1'], 'c_0120_1' : d['c_0102_0'], 'c_0120_2' : d['c_0012_3'], 'c_0120_3' : d['c_0012_1'], 'c_2001_0' : d['c_0201_0'], 'c_2001_1' : d['c_0102_0'], 'c_2001_2' : d['c_0201_0'], 'c_2001_3' : d['c_0102_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_0021_3'], 'c_0210_3' : d['c_0012_0'], 'c_0210_0' : d['c_0201_1'], 'c_0210_1' : d['c_0201_0'], 'c_1002_2' : d['c_0102_0'], 'c_1002_3' : d['c_0201_1'], 'c_1002_0' : d['c_0102_0'], 'c_1002_1' : d['c_0201_0'], '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: 25.210 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_1, c_0111_0, c_0111_2, c_0111_3, c_0201_0, c_0201_1, 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 + 80960/138411*c_1101_3 - 1675904/968877, c_0012_0 - 1, c_0012_1 - 7/9*c_1101_3 + 10/9, c_0012_3 - 14/9*c_1101_3 + 31/18, c_0021_3 - 7/18*c_1101_3 - 13/9, c_0102_0 + 1/2, c_0102_1 + 14/9*c_1101_3 - 13/18, c_0111_0 - 1, c_0111_2 + 8/9*c_1101_3 - 5/9, c_0111_3 - 7/9*c_1101_3 + 10/9, c_0201_0 + 7/18*c_1101_3 - 5/9, c_0201_1 + 7/6*c_1101_3 + 1/3, c_1011_0 - 2/9*c_1101_3 - 1/9, c_1011_1 + 1/3*c_1101_3 + 2/3, c_1011_3 + 2/3*c_1101_3 - 5/3, c_1101_0 + 1/9*c_1101_3 - 4/9, c_1101_3^2 - 11/7*c_1101_3 + 13/7 ], 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_1, c_0111_0, c_0111_2, c_0111_3, c_0201_0, c_0201_1, 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 - 48128/76895*c_1101_3 + 837952/538265, c_0012_0 - 1, c_0012_1 + 7/10*c_1101_3 + 1/10, c_0012_3 - 21/20*c_1101_3 + 37/20, c_0021_3 - 7/5*c_1101_3 + 13/10, c_0102_0 - 7/20*c_1101_3 - 1/20, c_0102_1 + 7/20*c_1101_3 - 39/20, c_0111_0 - 1, c_0111_2 - 4/5*c_1101_3 + 3/5, c_0111_3 - 7/10*c_1101_3 + 9/10, c_0201_0 + 1/2, c_0201_1 + 7/5*c_1101_3 - 3/10, c_1011_0 + 1/5*c_1101_3 - 2/5, c_1011_1 - 1/2*c_1101_3 - 1/2, c_1011_3 - 1/2*c_1101_3 + 3/2, c_1101_0 + 3/10*c_1101_3 - 1/10, c_1101_3^2 - 8/7*c_1101_3 + 13/7 ], 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_1, c_0111_0, c_0111_2, c_0111_3, c_0201_0, c_0201_1, 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 - 13632/1183*c_1101_3 - 1675904/107653, c_0012_0 - 1, c_0012_1 - 7*c_1101_3 - 9, c_0012_3 + 7/2*c_1101_3 + 3, c_0021_3 - 21/2*c_1101_3 - 13, c_0102_0 - 7/2*c_1101_3 - 5, c_0102_1 - 21/2*c_1101_3 - 13, c_0111_0 - 1, c_0111_2 + 8*c_1101_3 + 11, c_0111_3 - 1, c_0201_0 - 7/2*c_1101_3 - 5, c_0201_1 + 7/2*c_1101_3 + 3, c_1011_0 - 2*c_1101_3 - 3, c_1011_1 - 8*c_1101_3 - 11, c_1011_3 - 11*c_1101_3 - 15, c_1101_0 + 2*c_1101_3 + 3, c_1101_3^2 + 19/7*c_1101_3 + 13/7 ], 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_1, c_0111_0, c_0111_2, c_0111_3, c_0201_0, c_0201_1, 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: 4 Groebner basis: [ t - 402*c_1101_3^3 - 805*c_1101_3^2 - 188*c_1101_3 + 346, c_0012_0 - 1, c_0012_1 - 1, c_0012_3 - c_1101_3^2, c_0021_3 - c_1101_3^2, c_0102_0 + c_1101_3^2 + c_1101_3, c_0102_1 - c_1101_3^2, c_0111_0 - 1, c_0111_2 + 1, c_0111_3 - 1, c_0201_0 + c_1101_3^2 + c_1101_3, c_0201_1 - c_1101_3^2, c_1011_0 + 2*c_1101_3^3 + 5*c_1101_3^2 + 2*c_1101_3 - 2, c_1011_1 - 1, c_1011_3 + c_1101_3, c_1101_0 - 2*c_1101_3^3 - 5*c_1101_3^2 - 2*c_1101_3 + 2, c_1101_3^4 + 3/2*c_1101_3^3 - 1/2*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_1, c_0111_0, c_0111_2, c_0111_3, c_0201_0, c_0201_1, 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 + 1/2*c_1101_3^4 - 3/8*c_1101_3, c_0012_0 - 1, c_0012_1 - 1, c_0012_3 - 8*c_1101_3^5, c_0021_3 + 4*c_1101_3^4 + c_1101_3, c_0102_0 - 2*c_1101_3^2, c_0102_1 - 8*c_1101_3^5, c_0111_0 - 1, c_0111_2 + 1, c_0111_3 - 2*c_1101_3^2, c_0201_0 + 4*c_1101_3^4 - c_1101_3, c_0201_1 + 4*c_1101_3^4 + c_1101_3, c_1011_0 + 4*c_1101_3^3 - 1, c_1011_1 - 2*c_1101_3^2, c_1011_3 + c_1101_3, c_1101_0 + 8*c_1101_3^5, c_1101_3^6 - 1/4*c_1101_3^3 + 1/8 ], 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_1, c_0111_0, c_0111_2, c_0111_3, c_0201_0, c_0201_1, 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: 8 Groebner basis: [ t + 305712/547*c_1101_3^7 - 681840/547*c_1101_3^6 + 1193220/547*c_1101_3^5 - 983720/547*c_1101_3^4 + 639225/547*c_1101_3^3 + 127845/547*c_1101_3^2 + 99432/547*c_1101_3 - 42615/547, c_0012_0 - 1, c_0012_1 - 1, c_0012_3 - c_1101_3^2, c_0021_3 - 112/547*c_1101_3^7 - 80/547*c_1101_3^6 + 140/547*c_1101_3^5 - 644/547*c_1101_3^4 + 75/547*c_1101_3^3 + 15/547*c_1101_3^2 - 224/547*c_1101_3 - 5/547, c_0102_0 + 20/547*c_1101_3^7 - 142/547*c_1101_3^6 - 25/547*c_1101_3^5 + 115/547*c_1101_3^4 - 619/547*c_1101_3^3 + 642/547*c_1101_3^2 - 507/547*c_1101_3 - 214/547, c_0102_1 - c_1101_3^2, c_0111_0 - 1, c_0111_2 + 1, c_0111_3 + 856/547*c_1101_3^7 - 1264/547*c_1101_3^6 + 2212/547*c_1101_3^5 - 1095/547*c_1101_3^4 + 1185/547*c_1101_3^3 + 237/547*c_1101_3^2 + 1165/547*c_1101_3 + 468/547, c_0201_0 + 112/547*c_1101_3^7 + 80/547*c_1101_3^6 - 140/547*c_1101_3^5 + 644/547*c_1101_3^4 - 75/547*c_1101_3^3 - 15/547*c_1101_3^2 + 771/547*c_1101_3 + 5/547, c_0201_1 - 112/547*c_1101_3^7 - 80/547*c_1101_3^6 + 140/547*c_1101_3^5 - 644/547*c_1101_3^4 + 75/547*c_1101_3^3 + 15/547*c_1101_3^2 - 224/547*c_1101_3 - 5/547, c_1011_0 - 600/547*c_1101_3^7 - 116/547*c_1101_3^6 + 750/547*c_1101_3^5 - 3450/547*c_1101_3^4 + 2707/547*c_1101_3^3 - 2850/547*c_1101_3^2 - 1200/547*c_1101_3 - 691/547, c_1011_1 + 856/547*c_1101_3^7 - 1264/547*c_1101_3^6 + 2212/547*c_1101_3^5 - 1095/547*c_1101_3^4 + 1185/547*c_1101_3^3 + 237/547*c_1101_3^2 + 1165/547*c_1101_3 + 468/547, c_1011_3 + c_1101_3, c_1101_0 - 2248/547*c_1101_3^7 + 3708/547*c_1101_3^6 - 5942/547*c_1101_3^5 + 2390/547*c_1101_3^4 - 878/547*c_1101_3^3 - 3567/547*c_1101_3^2 - 1214/547*c_1101_3 - 452/547, c_1101_3^8 - 3/2*c_1101_3^7 + 11/4*c_1101_3^6 - 5/4*c_1101_3^5 + 5/4*c_1101_3^4 + c_1101_3^3 + 5/4*c_1101_3^2 + 1/2*c_1101_3 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ], [ ], [ ], [ ], [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 25.210 Total time: 25.410 seconds, Total memory usage: 159.41MB