Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 3052677523] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s129 geometric_solution 4.13947793 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 0 2 0 0132 2310 0132 3201 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 -1 1 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 -0.188301086296 0.736617836827 0 3 2 3 0132 0132 3012 1023 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 -1 1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.783144950708 1.343602100873 4 1 4 0 0132 1230 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 1 0 -1 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.783144950708 1.343602100873 5 1 5 1 0132 0132 1023 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 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 0.604721905939 0.367463730943 2 5 2 5 0132 2310 1023 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 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 0.604721905939 0.367463730943 3 4 3 4 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670216935683 0.176509913526 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : negation(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_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : 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_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_2']), 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : negation(d['c_0011_2']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0011_2']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_2, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 20577335/2889443*c_0101_5^8 + 54915929/2889443*c_0101_5^7 - 19189162/2889443*c_0101_5^6 + 140608153/2889443*c_0101_5^5 - 580365023/5778886*c_0101_5^4 + 156405635/2889443*c_0101_5^3 - 504929319/5778886*c_0101_5^2 - 149645861/5778886*c_0101_5 + 92978378/2889443, c_0011_0 - 1, c_0011_2 + 3419340/2889443*c_0101_5^8 - 1578001/2889443*c_0101_5^7 - 3755073/2889443*c_0101_5^6 - 28568312/2889443*c_0101_5^5 - 12518567/2889443*c_0101_5^4 - 25205591/2889443*c_0101_5^3 - 12497109/2889443*c_0101_5^2 + 8346957/2889443*c_0101_5 + 4780474/2889443, c_0101_1 + 5206450/2889443*c_0101_5^8 - 5322105/2889443*c_0101_5^7 - 3284095/2889443*c_0101_5^6 - 41215426/2889443*c_0101_5^5 + 4875301/2889443*c_0101_5^4 - 37514456/2889443*c_0101_5^3 + 834256/2889443*c_0101_5^2 + 15169296/2889443*c_0101_5 + 1144858/2889443, c_0101_2 + c_0101_5, c_0101_3 + 2304950/2889443*c_0101_5^8 - 1229555/2889443*c_0101_5^7 - 2711890/2889443*c_0101_5^6 - 19365245/2889443*c_0101_5^5 - 5799699/2889443*c_0101_5^4 - 14568570/2889443*c_0101_5^3 - 5554761/2889443*c_0101_5^2 + 5080737/2889443*c_0101_5 + 4064805/2889443, c_0101_5^9 - 7/5*c_0101_5^8 - 1/5*c_0101_5^7 - 39/5*c_0101_5^6 + 4*c_0101_5^5 - 39/5*c_0101_5^4 + 17/5*c_0101_5^3 + 11/5*c_0101_5^2 - 3/5*c_0101_5 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB