Magma V2.19-8 Tue Aug 20 2013 16:19:14 on localhost [Seed = 2816883360] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3361 geometric_solution 6.52478373 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 -1 2 1 0 -2 1 0 -1 0 1 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365202781797 0.341506849371 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 0 -1 1 -1 0 0 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 -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 0.539188872811 1.366027397485 5 0 4 1 0132 0132 2310 3012 0 0 0 0 0 1 -1 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 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 0.539188872811 1.366027397485 5 1 6 5 1023 0132 0132 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 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 0.962973955961 6 2 1 6 0321 3201 0132 3012 0 0 0 0 0 1 -1 0 1 0 -1 0 0 1 0 -1 0 1 -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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.822993827352 2 3 3 6 0132 1023 0132 3201 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 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 -0.000000000000 0.962973955961 4 5 4 3 0321 2310 1230 0132 0 0 0 0 0 0 0 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 0 0 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 0.539188872811 0.887498228200 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0101_5'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 161/3*c_0101_5^3 + 199/3*c_0101_5^2 - 646/15*c_0101_5 + 182/15, c_0011_0 - 1, c_0011_4 + c_0101_5, c_0011_6 - 5/3*c_0101_5^3 + 10/3*c_0101_5^2 + 1/3*c_0101_5 - 2/3, c_0101_0 + 5/3*c_0101_5^3 + 5/3*c_0101_5^2 - 4/3*c_0101_5 - 1/3, c_0101_1 - 1, c_0101_2 - 10/3*c_0101_5^3 + 5/3*c_0101_5^2 + 5/3*c_0101_5 - 1/3, c_0101_5^4 - c_0101_5^3 + 1/5*c_0101_5^2 + 1/5*c_0101_5 - 1/5 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1466331/488*c_0101_5^5 + 2017837/488*c_0101_5^4 + 663409/244*c_0101_5^3 + 259927/122*c_0101_5^2 + 573231/488*c_0101_5 + 128631/488, c_0011_0 - 1, c_0011_4 + c_0101_5, c_0011_6 + 2077/61*c_0101_5^5 + 1379/61*c_0101_5^4 + 133/61*c_0101_5^3 + 761/61*c_0101_5^2 + 22/61*c_0101_5 - 159/61, c_0101_0 - 2077/61*c_0101_5^5 - 1379/61*c_0101_5^4 - 133/61*c_0101_5^3 - 761/61*c_0101_5^2 - 22/61*c_0101_5 + 159/61, c_0101_1 + 4619/61*c_0101_5^5 + 5823/122*c_0101_5^4 + 690/61*c_0101_5^3 + 1442/61*c_0101_5^2 + 38/61*c_0101_5 - 577/122, c_0101_2 - 4929/61*c_0101_5^5 - 3329/61*c_0101_5^4 - 688/61*c_0101_5^3 - 1775/61*c_0101_5^2 - 95/61*c_0101_5 + 340/61, c_0101_5^6 + 34/31*c_0101_5^5 + 13/31*c_0101_5^4 + 12/31*c_0101_5^3 + 5/31*c_0101_5^2 - 2/31*c_0101_5 - 1/31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB