Magma V2.19-8 Tue Aug 20 2013 16:14:32 on localhost [Seed = 543276076] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s518 geometric_solution 4.91638537 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3201 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 0.211186053803 0.507805005237 0 1 0 1 0132 2310 2310 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 -1.121717656093 0.748354922926 4 3 5 0 0132 3012 0132 0132 0 0 0 0 0 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.009449493709 1.137200204195 2 4 0 5 1230 2310 0132 3201 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 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 1.009449493709 1.137200204195 2 4 4 3 0132 1230 3012 3201 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 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 0.878346848071 0.878398491124 5 3 5 2 2310 2310 3201 0132 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 0 1 0 -1 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 -0.121653151929 0.878398491124 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : 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' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0011_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 821259820184/133072658427*c_0101_2^14 - 7428481296715/133072658427*c_0101_2^12 + 18790185116011/133072658427*c_0101_2^10 + 48064100811289/133072658427*c_0101_2^8 + 18448676653146/44357552809*c_0101_2^6 + 3671885026217/133072658427*c_0101_2^4 - 4520109851149/133072658427*c_0101_2^2 - 1268890659449/44357552809, c_0011_0 - 1, c_0011_2 - 104651789272/133072658427*c_0101_2^15 + 947555123443/133072658427*c_0101_2^13 - 2398037892299/133072658427*c_0101_2^11 - 6149757966340/133072658427*c_0101_2^9 - 2289180821216/44357552809*c_0101_2^7 - 145972056199/133072658427*c_0101_2^5 + 794644140649/133072658427*c_0101_2^3 + 168303918829/44357552809*c_0101_2, c_0011_5 + 15899400400/133072658427*c_0101_2^14 - 132931936778/133072658427*c_0101_2^12 + 263596920214/133072658427*c_0101_2^10 + 1198953782858/133072658427*c_0101_2^8 + 1630326394822/133072658427*c_0101_2^6 + 830701638661/133072658427*c_0101_2^4 - 42906001805/133072658427*c_0101_2^2 - 54877126507/133072658427, c_0101_0 - 18480188200/133072658427*c_0101_2^14 + 164879265845/133072658427*c_0101_2^12 - 407814213406/133072658427*c_0101_2^10 - 1081521894440/133072658427*c_0101_2^8 - 1521545462545/133072658427*c_0101_2^6 - 519866120251/133072658427*c_0101_2^4 - 174195858358/133072658427*c_0101_2^2 + 92325884212/133072658427, c_0101_1 + 4757638208/133072658427*c_0101_2^14 - 37665784984/133072658427*c_0101_2^12 + 63705787786/133072658427*c_0101_2^10 + 365278478719/133072658427*c_0101_2^8 + 254129307575/44357552809*c_0101_2^6 + 441104777792/133072658427*c_0101_2^4 + 6328610501/133072658427*c_0101_2^2 - 40659536606/44357552809, c_0101_2^16 - 73/8*c_0101_2^14 + 189/8*c_0101_2^12 + 113/2*c_0101_2^10 + 505/8*c_0101_2^8 + 7/8*c_0101_2^6 - 7/2*c_0101_2^4 - 7/2*c_0101_2^2 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB