Magma V2.19-8 Tue Aug 20 2013 16:08:54 on localhost [Seed = 1157946352] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m098 geometric_solution 3.50891719 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 1 1 2 0132 3120 1023 0132 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 1 -1 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 0.015223387799 1.055401816476 0 0 0 2 0132 3120 1023 3201 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 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 0.015223387799 1.055401816476 3 1 0 3 0132 2310 0132 1023 0 0 0 0 0 0 1 -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 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 0.212687745498 0.429897475578 2 4 4 2 0132 0132 3201 1023 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 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 1.397075401378 0.614446377724 3 3 4 4 2310 0132 1230 3012 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 1.663164494091 0.198881946652 ==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_4' : d['1'], 's_3_0' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_0']})} 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_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - c_0101_3 + 2, c_0011_0 - 1, c_0011_2 + 1, c_0101_0 - c_0101_3, c_0101_3^2 - c_0101_3 - 1, c_0101_4 - 1 ], Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1503029/7431*c_0101_4^5 + 568702/2477*c_0101_4^4 + 43357000/7431*c_0101_4^3 + 69293870/7431*c_0101_4^2 + 2393483/2477*c_0101_4 + 11065495/7431, c_0011_0 - 1, c_0011_2 - 63/2477*c_0101_4^5 + 53/2477*c_0101_4^4 + 2032/2477*c_0101_4^3 + 3158/2477*c_0101_4^2 - 3917/2477*c_0101_4 - 1140/2477, c_0101_0 + 53/2477*c_0101_4^5 + 152/2477*c_0101_4^4 - 2024/2477*c_0101_4^3 - 7768/2477*c_0101_4^2 - 5158/2477*c_0101_4 - 1400/2477, c_0101_3 + 197/2477*c_0101_4^5 - 323/2477*c_0101_4^4 - 5607/2477*c_0101_4^3 - 5786/2477*c_0101_4^2 + 4149/2477*c_0101_4 + 498/2477, c_0101_4^6 - c_0101_4^5 - 29*c_0101_4^4 - 50*c_0101_4^3 - 11*c_0101_4^2 - 8*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB