Magma V2.19-8 Tue Aug 20 2013 16:14:27 on localhost [Seed = 1781266025] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s437 geometric_solution 4.74949998 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 1 0 2 2310 0132 3201 0132 0 0 0 0 0 0 1 -1 -1 0 1 0 -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 1 0 -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 -0.341163901914 1.161541399997 2 0 4 3 3201 0132 0132 0132 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 -1 1 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 0.658836098086 1.161541399997 5 4 0 1 0132 2103 0132 2310 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 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 0.028295526745 0.510176935826 5 3 1 3 3120 2310 0132 3201 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 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 0 0 0 0 0 0 0 0 -0.341163901914 1.161541399997 5 2 5 1 2310 2103 0213 0132 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 1 -1 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 0.602245044597 0.141187528345 2 4 4 3 0132 0213 3201 3120 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 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 0.658836098086 1.161541399997 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0011_2'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0011_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 49601259/270356*c_0101_1^11 - 43102825/270356*c_0101_1^9 + 64532144/67589*c_0101_1^7 + 34362474/67589*c_0101_1^5 - 179363175/270356*c_0101_1^3 - 268125127/270356*c_0101_1, c_0011_0 - 1, c_0011_2 + 55395/270356*c_0101_1^10 - 17089/67589*c_0101_1^8 + 158957/135178*c_0101_1^6 + 15993/67589*c_0101_1^4 - 78241/270356*c_0101_1^2 - 24602/67589, c_0011_3 + 11529/67589*c_0101_1^10 - 24999/67589*c_0101_1^8 + 152569/135178*c_0101_1^6 - 117785/135178*c_0101_1^4 - 161673/135178*c_0101_1^2 - 35153/135178, c_0011_4 - 126405/135178*c_0101_1^11 + 64154/67589*c_0101_1^9 - 338563/67589*c_0101_1^7 - 267593/135178*c_0101_1^5 + 519941/135178*c_0101_1^3 + 578643/135178*c_0101_1, c_0101_0 - 126459/135178*c_0101_1^11 + 215537/270356*c_0101_1^9 - 676217/135178*c_0101_1^7 - 171806/67589*c_0101_1^5 + 156956/67589*c_0101_1^3 + 1374147/270356*c_0101_1, c_0101_1^12 - 8/9*c_0101_1^10 + 47/9*c_0101_1^8 + 8/3*c_0101_1^6 - 11/3*c_0101_1^4 - 16/3*c_0101_1^2 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB