Magma V2.19-8 Tue Aug 20 2013 16:09:00 on localhost [Seed = 930523532] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m271 geometric_solution 4.29495532 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 5 1 2 1 3 0132 0132 2031 0132 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 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 0.197212229968 1.155488634535 0 3 2 0 0132 2031 1302 1302 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 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 0.856473409962 0.840938432519 1 0 2 2 2031 0132 2031 1302 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 -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 0.553856861631 0.649937237449 1 4 0 4 1302 0132 0132 2310 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 -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 0 0 0 0 0 0 0.176761710070 1.476431110347 3 3 4 4 3201 0132 1230 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 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 0.275967497826 0.179389075982 ==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_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : 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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : 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' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_4'], 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 325754303761/108709445230*c_0110_4^11 - 1921389081207/108709445230*c_0110_4^10 + 703824601741/54354722615*c_0110_4^9 + 748247485514/10870944523*c_0110_4^8 - 18058719839817/108709445230*c_0110_4^7 + 2681087019749/21741889046*c_0110_4^6 + 39609510952697/108709445230*c_0110_4^5 - 2548716154453/10870944523*c_0110_4^4 - 296921652947/921266485*c_0110_4^3 - 5443262015893/54354722615*c_0110_4^2 - 3067659321851/108709445230*c_0110_4 + 252931180541/108709445230, c_0011_0 - 1, c_0011_3 - 16443236/184253297*c_0110_4^11 + 104289643/184253297*c_0110_4^10 - 118242545/184253297*c_0110_4^9 - 320001137/184253297*c_0110_4^8 + 1046342833/184253297*c_0110_4^7 - 1147406573/184253297*c_0110_4^6 - 1427072195/184253297*c_0110_4^5 + 1805798574/184253297*c_0110_4^4 + 939483030/184253297*c_0110_4^3 + 256164183/184253297*c_0110_4^2 - 264617544/184253297*c_0110_4 - 87562292/184253297, c_0101_0 - 378490466/10870944523*c_0110_4^11 + 1955792326/10870944523*c_0110_4^10 + 130588039/10870944523*c_0110_4^9 - 11008236411/10870944523*c_0110_4^8 + 17325666570/10870944523*c_0110_4^7 + 8271747/10870944523*c_0110_4^6 - 69566612516/10870944523*c_0110_4^5 + 21466301989/10870944523*c_0110_4^4 + 864525151/184253297*c_0110_4^3 + 14811587186/10870944523*c_0110_4^2 + 20276669416/10870944523*c_0110_4 + 6788256714/10870944523, c_0101_4 - 1130038109/10870944523*c_0110_4^11 + 6334445494/10870944523*c_0110_4^10 - 2507060498/10870944523*c_0110_4^9 - 30070335318/10870944523*c_0110_4^8 + 58226134594/10870944523*c_0110_4^7 - 20850898646/10870944523*c_0110_4^6 - 177043358733/10870944523*c_0110_4^5 + 79852803996/10870944523*c_0110_4^4 + 2981873124/184253297*c_0110_4^3 + 38886097082/10870944523*c_0110_4^2 + 6963482137/10870944523*c_0110_4 - 826088613/10870944523, c_0110_4^12 - 6*c_0110_4^11 + 5*c_0110_4^10 + 22*c_0110_4^9 - 57*c_0110_4^8 + 48*c_0110_4^7 + 112*c_0110_4^6 - 83*c_0110_4^5 - 96*c_0110_4^4 - 32*c_0110_4^3 - 7*c_0110_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB