Magma V2.19-8 Mon Sep 16 2013 21:53:35 on localhost [Seed = 410909813] Type ? for help. Type -D to quit. Loading file "m137__sl3_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation m137 geometric_solution 3.66386238 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 4 1 2 2 3 0132 0132 3120 0132 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 0 0 0 1 -1 0 0 -1 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 0 2 3 3 0132 0321 0132 3201 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 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 0.500000000000 0.500000000000 3 0 0 1 0213 0132 3120 0321 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 0 0 0 0 0 0 0 1 -1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 2 1 0 1 0213 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 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 -0.000000000000 1.000000000000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_1002_0'], 'c_1020_3' : d['c_0201_0'], 'c_1020_0' : d['c_1002_2'], 'c_1020_1' : d['c_1002_0'], 'c_0201_0' : d['c_0201_0'], 'c_0201_1' : d['c_0012_0'], 'c_0201_2' : d['c_0021_3'], 'c_0201_3' : d['c_0012_0'], 'c_2100_0' : d['c_0012_3'], 'c_2100_1' : d['c_0012_3'], 'c_2100_2' : d['c_0102_0'], 'c_2100_3' : d['c_0012_3'], 'c_2010_2' : d['c_1002_2'], 'c_2010_3' : d['c_0102_0'], 'c_2010_0' : d['c_1002_0'], 'c_2010_1' : d['c_1002_2'], 'c_0102_0' : d['c_0102_0'], 'c_0102_1' : d['c_0012_1'], 'c_0102_2' : d['c_0012_3'], 'c_0102_3' : d['c_0012_1'], 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : d['c_1101_1'], 'c_1101_2' : negation(d['c_1101_0']), 'c_1101_3' : d['c_1101_3'], 'c_1200_2' : d['c_0201_0'], 'c_1200_3' : d['c_0021_3'], 'c_1200_0' : d['c_0021_3'], 'c_1200_1' : d['c_0021_3'], 'c_1110_2' : negation(d['c_1011_1']), 'c_1110_3' : d['c_1101_1'], 'c_1110_0' : d['c_1101_3'], 'c_1110_1' : negation(d['c_1011_3']), 'c_0120_0' : d['c_0012_1'], 'c_0120_1' : d['c_0102_0'], 'c_0120_2' : d['c_0012_0'], 'c_0120_3' : d['c_0012_1'], 'c_2001_0' : d['c_1002_2'], 'c_2001_1' : d['c_0102_0'], 'c_2001_2' : d['c_1002_0'], 'c_2001_3' : d['c_1002_0'], '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' : negation(d['c_0111_2']), 'c_0210_2' : d['c_0012_1'], 'c_0210_3' : d['c_0012_0'], 'c_0210_0' : d['c_0012_0'], 'c_0210_1' : d['c_0201_0'], 'c_1002_2' : d['c_1002_2'], 'c_1002_3' : d['c_1002_2'], 'c_1002_0' : d['c_1002_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: 19.770 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_0111_0, c_0111_2, c_0201_0, c_1002_0, c_1002_2, c_1011_0, c_1011_1, c_1011_3, c_1101_0, c_1101_1, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/7776, c_0012_0 - 1, c_0012_1 - 1, c_0012_3 - c_1101_3 + 2, c_0021_3 + c_1101_3 + 1, c_0102_0 + c_1101_3 + 1, c_0111_0 - 1, c_0111_2 + 1, c_0201_0 - c_1101_3 + 2, c_1002_0 + c_1101_3 - 2, c_1002_2 - c_1101_3 - 1, c_1011_0 - 1, c_1011_1 + c_1101_3 - 1, c_1011_3 + 3, c_1101_0 + 3, c_1101_1 + 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_3, c_0021_3, c_0102_0, c_0111_0, c_0111_2, c_0201_0, c_1002_0, c_1002_2, c_1011_0, c_1011_1, c_1011_3, c_1101_0, c_1101_1, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/1024, c_0012_0 - 1, c_0012_1 - 1, c_0012_3 + 2*c_1101_3 - 2, c_0021_3 + 2*c_1101_3 - 2, c_0102_0 + 2*c_1101_3 - 2, c_0111_0 - 1, c_0111_2 + 1, c_0201_0 + 2*c_1101_3 - 2, c_1002_0 - 2*c_1101_3 + 2, c_1002_2 - 2*c_1101_3 + 2, c_1011_0 - c_1101_3 + 2, c_1011_1 - c_1101_3, c_1011_3 - 2, c_1101_0 - 2, c_1101_1 + c_1101_3 - 2, c_1101_3^2 - 2*c_1101_3 + 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_0111_0, c_0111_2, c_0201_0, c_1002_0, c_1002_2, c_1011_0, c_1011_1, c_1011_3, c_1101_0, c_1101_1, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 6765/8*c_1101_3^3 - 28657/8, c_0012_0 - 1, c_0012_1 - 1, c_0012_3 + 1/2*c_1101_3^3 - c_1101_3^2 - 1/2, c_0021_3 + c_1101_3^2, c_0102_0 + 1/2*c_1101_3^3 - c_1101_3^2 - 1/2, c_0111_0 - 1, c_0111_2 + 1, c_0201_0 + c_1101_3^2, c_1002_0 + 1/2*c_1101_3^3 - 1/2, c_1002_2 + 1/2*c_1101_3^3 - 1/2, c_1011_0 + 1/2*c_1101_3^3 + c_1101_3 - 1/2, c_1011_1 - c_1101_3, c_1011_3 - c_1101_3^2 - c_1101_3 - 1, c_1101_0 + c_1101_3^3 - c_1101_3^2, c_1101_1 + c_1101_3^2 - c_1101_3, c_1101_3^4 - c_1101_3^3 + 2*c_1101_3^2 + c_1101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ], [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 19.770 Total time: 19.969 seconds, Total memory usage: 281.84MB