Magma V2.19-8 Thu Sep 12 2013 22:29:42 on localhost [Seed = 3501259317] Type ? for help. Type -D to quit. Loading file "m007__sl3_c0.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'], 'c_2100_1' : d['c_0012_0'], 'c_2100_2' : d['c_0201_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'], 'c_1200_0' : d['c_0102_1'], 'c_1200_1' : d['c_0012_1'], 'c_1110_2' : d['c_1101_0'], 'c_1110_0' : d['c_1101_2'], 'c_1110_1' : negation(d['c_1011_0']), 'c_0120_0' : d['c_0102_1'], 'c_0120_1' : d['c_0102_0'], 'c_0120_2' : d['c_0102_0'], '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'], '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_0210_2' : d['c_0201_0'], 'c_0210_0' : d['c_0201_1'], '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'], 'c_0021_0' : d['c_0012_1'], 'c_0021_1' : d['c_0012_0'], 'c_0021_2' : d['c_0012_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 0.060 PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 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 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 37*c_1101_2^2 - 63/2*c_1101_2 - 105/2, c_0012_0 - 1, c_0012_1 - 1, c_0102_0 - 1/2*c_1101_2 - 1/2, c_0102_1 - c_1101_2^2, c_0111_0 - 1, c_0111_2 - c_1101_2^2 - 3/2*c_1101_2 - 3/2, c_0201_0 - 1/2*c_1101_2 - 1/2, c_0201_1 - c_1101_2^2, c_1011_0 - c_1101_2^2 - 3/2*c_1101_2 - 3/2, c_1011_2 - 1, c_1101_0 - c_1101_2^2 - 1/2*c_1101_2 - 1/2, c_1101_2^3 + 1/2*c_1101_2^2 + c_1101_2 - 1/2 ], Ideal of Polynomial ring of rank 13 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 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 170/11*c_1101_2^5 - 255/11*c_1101_2^4 + 863/22*c_1101_2^3 + 425/11*c_1101_2^2 + 170/11*c_1101_2 - 1459/22, c_0012_0 - 1, c_0012_1 - 1, c_0102_0 + 10/11*c_1101_2^5 - 7/11*c_1101_2^4 - 21/22*c_1101_2^3 - 17/22*c_1101_2^2 + 35/22*c_1101_2 + 7/11, c_0102_1 - c_1101_2^2, c_0111_0 - 1, c_0111_2 - 2/11*c_1101_2^5 - 3/11*c_1101_2^4 + 35/22*c_1101_2^3 + 5/11*c_1101_2^2 + 2/11*c_1101_2 - 49/22, c_0201_0 - 12/11*c_1101_2^5 + 4/11*c_1101_2^4 + 6/11*c_1101_2^3 + 27/22*c_1101_2^2 - 31/22*c_1101_2 + 3/22, c_0201_1 + 8/11*c_1101_2^5 + 12/11*c_1101_2^4 - 4/11*c_1101_2^3 - 9/11*c_1101_2^2 - 8/11*c_1101_2 - 1/11, c_1011_0 + 30/11*c_1101_2^5 - 21/11*c_1101_2^4 - 63/22*c_1101_2^3 - 73/22*c_1101_2^2 + 105/22*c_1101_2 + 21/11, c_1011_2 + 24/11*c_1101_2^5 - 8/11*c_1101_2^4 - 12/11*c_1101_2^3 - 27/11*c_1101_2^2 + 20/11*c_1101_2 + 8/11, c_1101_0 - 4/11*c_1101_2^5 + 16/11*c_1101_2^4 + 2/11*c_1101_2^3 + 9/22*c_1101_2^2 - 47/22*c_1101_2 + 1/22, c_1101_2^6 - 1/2*c_1101_2^5 - 3/4*c_1101_2^4 - 3/2*c_1101_2^3 + 5/4*c_1101_2^2 + 1/2*c_1101_2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 0.070 Total time: 0.260 seconds, Total memory usage: 32.09MB