Magma V2.19-8 Tue Aug 20 2013 16:08:56 on localhost [Seed = 172725426] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m171 geometric_solution 3.88076840 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 1 2 3 0132 0213 0132 0132 0 0 0 0 0 -1 0 1 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.101568559935 1.329452131644 0 3 0 2 0132 1302 0213 1302 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 1 0 -1 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 0.942867086156 0.747824662921 2 2 1 0 1230 3012 2031 0132 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 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 0.112410740388 0.329521192504 4 4 0 1 0132 2310 0132 2031 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 0 0 1 0 0 -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 -0.747858499652 1.432108889238 3 4 4 3 0132 3201 2310 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 -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 -0.407704935801 0.672855175459 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_1010_1']), 'c_1100_3' : negation(d['c_1010_1']), 'c_1100_2' : negation(d['c_1010_1']), 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_3']), '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_4' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0011_2'], 'c_0110_4' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_1010_1'], 'c_1010_0' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_2, c_1010_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 1984/4749*c_1010_1^6 + 3115/4749*c_1010_1^5 + 3200/1583*c_1010_1^4 + 26812/4749*c_1010_1^3 + 7084/4749*c_1010_1^2 - 1717/4749*c_1010_1 - 28616/4749, c_0011_0 - 1, c_0011_2 + 218/1583*c_1010_1^6 - 596/1583*c_1010_1^5 - 391/1583*c_1010_1^4 - 1995/1583*c_1010_1^3 + 811/1583*c_1010_1^2 - 1597/1583*c_1010_1 + 1523/1583, c_0011_3 - 174/1583*c_1010_1^6 + 345/1583*c_1010_1^5 + 893/1583*c_1010_1^4 + 1694/1583*c_1010_1^3 - 1083/1583*c_1010_1^2 - 1049/1583*c_1010_1 - 1782/1583, c_0101_2 + 17/1583*c_1010_1^6 - 61/1583*c_1010_1^5 + 122/1583*c_1010_1^4 - 584/1583*c_1010_1^3 - 249/1583*c_1010_1^2 + 57/1583*c_1010_1 + 1375/1583, c_1010_1^7 - 2*c_1010_1^6 - 4*c_1010_1^5 - 12*c_1010_1^4 + 2*c_1010_1^3 + 2*c_1010_1^2 + 15*c_1010_1 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB