Magma V2.19-8 Tue Aug 20 2013 16:14:18 on localhost [Seed = 1343343732] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s288 geometric_solution 4.45466397 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 0 0 0 0 0 1.400857946091 0.753681959409 2 3 2 0 1302 0132 1230 0132 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 -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 0.646318316495 0.813026647018 3 1 0 1 0132 2031 0132 3012 0 0 0 0 0 -1 1 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 -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 0.646318316495 0.813026647018 2 1 4 4 0132 0132 0132 3201 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 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 -0.407349402994 0.604238804508 5 3 5 3 0132 2310 1023 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 0 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.056902337814 2.347203200402 4 5 4 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374447660569 0.138936987523 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : 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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0101_3'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_1']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0011_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_4, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 64*c_0101_4^3 - 412*c_0101_4^2 - 89*c_0101_4 + 109, c_0011_0 - 1, c_0011_1 + c_0101_4^3 + 6*c_0101_4^2 - 2*c_0101_4 - 3, c_0011_4 - 3*c_0101_4^3 - 19*c_0101_4^2 - 3*c_0101_4 + 5, c_0101_0 - c_0101_4^3 - 6*c_0101_4^2 + c_0101_4 + 2, c_0101_3 - 2*c_0101_4^3 - 13*c_0101_4^2 - 3*c_0101_4 + 3, c_0101_4^4 + 7*c_0101_4^3 + 5*c_0101_4^2 - c_0101_4 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1954/83*c_0101_4^10 - 5911/83*c_0101_4^9 + 8854/83*c_0101_4^8 + 58287/83*c_0101_4^7 + 82438/83*c_0101_4^6 + 23627/83*c_0101_4^5 - 21541/83*c_0101_4^4 + 7331/83*c_0101_4^3 + 14810/83*c_0101_4^2 + 542/83*c_0101_4 - 1307/83, c_0011_0 - 1, c_0011_1 - 3417/83*c_0101_4^10 - 8621/83*c_0101_4^9 + 21223/83*c_0101_4^8 + 95866/83*c_0101_4^7 + 90795/83*c_0101_4^6 - 47422/83*c_0101_4^5 - 84006/83*c_0101_4^4 + 19779/83*c_0101_4^3 + 21890/83*c_0101_4^2 - 13768/83*c_0101_4 - 7137/83, c_0011_4 - 2508/83*c_0101_4^10 - 6282/83*c_0101_4^9 + 15643/83*c_0101_4^8 + 69994/83*c_0101_4^7 + 65727/83*c_0101_4^6 - 34921/83*c_0101_4^5 - 60508/83*c_0101_4^4 + 14652/83*c_0101_4^3 + 15303/83*c_0101_4^2 - 9959/83*c_0101_4 - 5121/83, c_0101_0 - 3168/83*c_0101_4^10 - 7874/83*c_0101_4^9 + 19895/83*c_0101_4^8 + 87981/83*c_0101_4^7 + 81416/83*c_0101_4^6 - 45181/83*c_0101_4^5 - 74959/83*c_0101_4^4 + 19862/83*c_0101_4^3 + 18487/83*c_0101_4^2 - 12855/83*c_0101_4 - 6141/83, c_0101_3 - 2613/83*c_0101_4^10 - 6573/83*c_0101_4^9 + 16244/83*c_0101_4^8 + 73114/83*c_0101_4^7 + 69119/83*c_0101_4^6 - 35927/83*c_0101_4^5 - 63322/83*c_0101_4^4 + 15130/83*c_0101_4^3 + 16134/83*c_0101_4^2 - 10465/83*c_0101_4 - 5404/83, c_0101_4^11 + 3*c_0101_4^10 - 5*c_0101_4^9 - 31*c_0101_4^8 - 40*c_0101_4^7 + c_0101_4^6 + 31*c_0101_4^5 + 6*c_0101_4^4 - 9*c_0101_4^3 + c_0101_4^2 + 4*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB