Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 1090575714] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s314 geometric_solution 4.48488166 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.643154753081 0.305934516821 0 2 2 0 3201 0132 1023 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 1 -2 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 1.101679291035 0.637607639425 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 -1 0 1 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 -1 0 1 -1 0 2 -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 0.397450532436 0.270713290554 2 4 5 4 0132 1302 0132 0321 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 1 -1 1 0 -1 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 0.673937265377 0.690337311259 5 3 2 3 2310 0321 0132 2031 0 0 0 0 0 1 -1 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 1 -1 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 0.673937265377 0.690337311259 5 5 4 3 1230 3012 3201 0132 0 0 0 0 0 1 0 -1 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 1 0 -1 -1 0 0 1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.275925686614 0.741694428153 ==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' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_1'], 'c_1010_3' : d['c_0011_1'], 'c_1010_2' : negation(d['c_0011_4']), '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_0011_5, c_0101_0, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 2*c_0101_0 - 3, c_0011_0 - 1, c_0011_1 - c_0101_0, c_0011_4 + 1, c_0011_5 + c_0101_0, c_0101_0^2 + c_0101_0 - 1, c_0101_5 - 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_0011_5, c_0101_0, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1594932904/245386009*c_0101_5^9 + 21604579850/245386009*c_0101_5^8 + 100099738800/245386009*c_0101_5^7 + 199845409887/245386009*c_0101_5^6 + 35557233791/245386009*c_0101_5^5 + 122904667585/245386009*c_0101_5^4 + 94362785651/245386009*c_0101_5^3 + 22203744528/245386009*c_0101_5^2 + 689285687/245386009*c_0101_5 - 10497308955/245386009, c_0011_0 - 1, c_0011_1 + 698209200/1717702063*c_0101_5^9 + 9566464681/1717702063*c_0101_5^8 + 6475194843/245386009*c_0101_5^7 + 94789175281/1717702063*c_0101_5^6 + 4523275202/245386009*c_0101_5^5 + 62309696420/1717702063*c_0101_5^4 + 54873453435/1717702063*c_0101_5^3 + 21604336701/1717702063*c_0101_5^2 + 695660752/245386009*c_0101_5 - 1106656869/1717702063, c_0011_4 - 24427225/245386009*c_0101_5^9 - 332100111/245386009*c_0101_5^8 - 1545260571/245386009*c_0101_5^7 - 3081182862/245386009*c_0101_5^6 - 454479937/245386009*c_0101_5^5 - 1473687833/245386009*c_0101_5^4 - 1575073477/245386009*c_0101_5^3 + 113276393/245386009*c_0101_5^2 + 51526201/245386009*c_0101_5 + 84149026/245386009, c_0011_5 + 286128569/1717702063*c_0101_5^9 + 3835094075/1717702063*c_0101_5^8 + 2490609397/245386009*c_0101_5^7 + 33681072893/1717702063*c_0101_5^6 + 440021421/245386009*c_0101_5^5 + 24813605871/1717702063*c_0101_5^4 + 14524883995/1717702063*c_0101_5^3 + 2800989372/1717702063*c_0101_5^2 + 56189511/245386009*c_0101_5 - 1091454972/1717702063, c_0101_0 + 10213926/1717702063*c_0101_5^9 + 93552891/1717702063*c_0101_5^8 - 8902050/245386009*c_0101_5^7 - 2813894508/1717702063*c_0101_5^6 - 1588163017/245386009*c_0101_5^5 - 10933572163/1717702063*c_0101_5^4 - 2890887732/1717702063*c_0101_5^3 - 11605474522/1717702063*c_0101_5^2 - 699825633/245386009*c_0101_5 - 784546380/1717702063, c_0101_5^10 + 14*c_0101_5^9 + 69*c_0101_5^8 + 155*c_0101_5^7 + 85*c_0101_5^6 + 100*c_0101_5^5 + 101*c_0101_5^4 + 51*c_0101_5^3 + 15*c_0101_5^2 - c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB