Magma V2.19-8 Tue Aug 20 2013 16:14:31 on localhost [Seed = 3718005212] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s496 geometric_solution 4.88044543 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 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 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 0.667485510989 0.737792250057 0 4 2 3 0132 2031 1302 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325686601673 0.745339323784 1 0 2 2 2031 0132 1230 3012 0 0 0 0 0 0 -1 1 0 0 -1 1 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 -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 0.966219106209 1.269221784245 5 1 5 0 0132 1302 1023 0132 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 0.737605111497 0.315567207166 1 4 0 4 1302 1302 0132 2031 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 1 -1 0 0 0 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 0.796370566224 1.024630782631 3 5 3 5 0132 1302 1023 2031 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 0.614688630052 0.105835465910 ==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' : 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_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' : d['1'], 's_1_0' : 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' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0110_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : 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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0110_2']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0110_2'])})} 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_3, c_0101_0, c_0101_2, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 9*c_0110_2^2 - 9, c_0011_0 - 1, c_0011_3 - 3*c_0110_2^2 - c_0110_2 + 2, c_0101_0 + 1, c_0101_2 + 3*c_0110_2^2 + 2*c_0110_2 - 2, c_0101_3 - c_0110_2, c_0110_2^3 - c_0110_2 + 1/3 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_2, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 774/175*c_0110_2^7 + 324/175*c_0110_2^6 - 6801/175*c_0110_2^5 - 2859/175*c_0110_2^4 - 543/35*c_0110_2^3 - 874/25*c_0110_2^2 - 277/175*c_0110_2 - 739/175, c_0011_0 - 1, c_0011_3 + 81/175*c_0110_2^7 - 219/175*c_0110_2^6 - 144/175*c_0110_2^5 + 204/175*c_0110_2^4 - 22/35*c_0110_2^3 + 58/175*c_0110_2^2 + 37/175*c_0110_2 + 109/175, c_0101_0 - 69/175*c_0110_2^7 + 33/25*c_0110_2^6 + 6/175*c_0110_2^5 - 121/175*c_0110_2^4 - 12/35*c_0110_2^3 - 467/175*c_0110_2^2 - 163/175*c_0110_2 - 38/25, c_0101_2 + 12/175*c_0110_2^7 + 87/175*c_0110_2^6 - 138/175*c_0110_2^5 - 517/175*c_0110_2^4 - 99/35*c_0110_2^3 - 359/175*c_0110_2^2 - 326/175*c_0110_2 - 132/175, c_0101_3 + 228/175*c_0110_2^7 - 96/25*c_0110_2^6 + 3/175*c_0110_2^5 - 148/175*c_0110_2^4 - 76/35*c_0110_2^3 + 204/175*c_0110_2^2 + 6/175*c_0110_2 + 31/25, c_0110_2^8 - 2*c_0110_2^7 - 2*c_0110_2^6 - 7/3*c_0110_2^5 - 11/3*c_0110_2^4 - 2*c_0110_2^3 - 2*c_0110_2^2 - 1/3*c_0110_2 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB