Magma V2.19-8 Fri Sep 13 2013 01:01:08 on localhost [Seed = 3231714979] Type ? for help. Type -D to quit. Loading file "m129__sl3_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation m129 geometric_solution 3.66386238 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 4 1 2 3 1 0132 0132 0132 3201 0 1 0 1 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 -1 0 1 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 1.000000000000 1.000000000000 0 0 3 2 0132 2310 3120 3120 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 0 0 0 0 0 -1 1 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 1 0 3 3 3120 0132 0213 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.500000000000 0.500000000000 2 2 1 0 3120 0213 3120 0132 0 1 1 0 0 -1 0 1 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 -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 0.500000000000 0.500000000000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0021_3'], 'c_1020_3' : d['c_0021_3'], 'c_1020_0' : d['c_1002_2'], 'c_1020_1' : d['c_0012_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_0021_3'], 'c_2100_0' : d['c_0012_1'], 'c_2100_1' : d['c_0012_3'], 'c_2100_2' : d['c_0012_3'], 'c_2100_3' : d['c_0012_1'], 'c_2010_2' : d['c_0012_3'], 'c_2010_3' : d['c_0012_3'], 'c_2010_0' : d['c_1002_1'], 'c_2010_1' : d['c_0012_1'], '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_3'], 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : d['c_1101_1'], 'c_1101_2' : d['c_1011_3'], 'c_1101_3' : negation(d['c_1101_1']), 'c_1200_2' : d['c_0021_3'], 'c_1200_3' : d['c_0012_0'], 'c_1200_0' : d['c_0012_0'], 'c_1200_1' : d['c_0021_3'], 'c_1110_2' : d['c_0111_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_1'], 'c_0120_1' : d['c_0102_0'], 'c_0120_2' : d['c_0102_0'], 'c_0120_3' : d['c_0102_0'], 'c_2001_0' : d['c_0012_3'], 'c_2001_1' : d['c_1002_2'], 'c_2001_2' : d['c_1002_1'], 'c_2001_3' : d['c_1002_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_0'], 'c_0210_3' : d['c_0201_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_0021_3'], 'c_1002_1' : d['c_1002_1'], '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: 0.020 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_0111_3, c_0201_0, c_1002_1, c_1002_2, c_1011_0, c_1011_1, c_1011_3, c_1101_0, c_1101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 176/27*c_1101_1 + 212/81, c_0012_0 - 1, c_0012_1 - 1, c_0012_3 + 2*c_1101_1 - 1, c_0021_3 - 2*c_1101_1 + 1/2, c_0102_0 - 1, c_0111_0 - 1, c_0111_2 + c_1101_1 - 1/2, c_0111_3 - c_1101_1 - 1/2, c_0201_0 - 1, c_1002_1 - 3/2, c_1002_2 - 3/2, c_1011_0 - c_1101_1, c_1011_1 - c_1101_1 + 3/2, c_1011_3 - 2*c_1101_1 + 3/2, c_1101_0 + c_1101_1 - 1/2, c_1101_1^2 - 3/4*c_1101_1 + 3/8 ], 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_0111_0, c_0111_2, c_0111_3, c_0201_0, c_1002_1, c_1002_2, c_1011_0, c_1011_1, c_1011_3, c_1101_0, c_1101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/16, c_0012_0 - 1, c_0012_1 - 1, c_0012_3 + 1, c_0021_3 + 1, c_0102_0 - 1, c_0111_0 - 1, c_0111_2 - c_1101_1 - 1, c_0111_3 + 1, c_0201_0 - 1, c_1002_1 - 2*c_1101_1 - 2, c_1002_2 - 2*c_1101_1 - 2, c_1011_0 - c_1101_1, c_1011_1 + c_1101_1 + 2, c_1011_3 - c_1101_1 - 2, c_1101_0 - c_1101_1 - 1, c_1101_1^2 + 2*c_1101_1 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB