Magma V2.19-8 Tue Aug 20 2013 16:18:11 on localhost [Seed = 1461111405] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2400 geometric_solution 5.76182039 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 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 1 0 -1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.146778611102 0.432588998986 0 2 4 3 0132 3201 0132 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 1 -1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703376359218 2.073005548024 5 4 1 0 0132 1023 2310 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 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 0.703376359218 2.073005548024 6 5 1 6 0132 0213 0132 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 1 -1 0 0 0 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 0.585278727626 0.385723509059 2 6 5 1 1023 2103 2310 0132 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 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 0.691266261942 0.621743330062 2 4 3 6 0132 3201 0213 1023 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 -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 0.193768563571 0.451511529195 3 4 3 5 0132 2103 1230 1023 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.292867321670 1.202468629610 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : 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_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : 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_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_2, c_0011_3, c_0101_1, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 17293/2633*c_0101_6^7 + 31150/2633*c_0101_6^6 + 7373/2633*c_0101_6^5 + 24008/2633*c_0101_6^4 + 717529/5266*c_0101_6^3 - 302343/5266*c_0101_6^2 - 429447/5266*c_0101_6 - 24616/2633, c_0011_0 - 1, c_0011_2 + 1339/2633*c_0101_6^7 - 4546/2633*c_0101_6^6 + 6859/2633*c_0101_6^5 - 14222/2633*c_0101_6^4 - 4463/5266*c_0101_6^3 + 23109/5266*c_0101_6^2 + 12535/5266*c_0101_6 + 846/2633, c_0011_3 + 1051/2633*c_0101_4*c_0101_6^7 - 3230/2633*c_0101_4*c_0101_6^6 + 4373/2633*c_0101_4*c_0101_6^5 - 9118/2633*c_0101_4*c_0101_6^4 - 12635/5266*c_0101_4*c_0101_6^3 + 17997/5266*c_0101_4*c_0101_6^2 + 4801/5266*c_0101_4*c_0101_6 - 504/2633*c_0101_4, c_0101_1 + 4039/2633*c_0101_4*c_0101_6^7 - 12934/2633*c_0101_4*c_0101_6^6 + 18975/2633*c_0101_4*c_0101_6^5 - 41008/2633*c_0101_4*c_0101_6^4 - 23955/5266*c_0101_4*c_0101_6^3 + 47337/5266*c_0101_4*c_0101_6^2 + 31723/5266*c_0101_4*c_0101_6 + 2312/2633*c_0101_4, c_0101_2 - c_0101_4, c_0101_4^2 + 540/2633*c_0101_6^7 - 1151/2633*c_0101_6^6 + 1370/2633*c_0101_6^5 - 4304/2633*c_0101_6^4 - 6162/2633*c_0101_6^3 - 6213/5266*c_0101_6^2 - 1955/5266*c_0101_6 + 1113/5266, c_0101_6^8 - 3*c_0101_6^7 + 4*c_0101_6^6 - 9*c_0101_6^5 - 11/2*c_0101_6^4 + 6*c_0101_6^3 + 9/2*c_0101_6^2 + c_0101_6 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB