Magma V2.19-8 Tue Aug 20 2013 16:17:11 on localhost [Seed = 3297073173] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1418 geometric_solution 5.25333620 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 2.912995347241 1.387989411086 0 1 1 0 0132 3201 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 -0.542991080747 0.122751538874 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.034064795713 0.552951565916 4 2 5 6 2310 0132 0132 0132 0 0 0 0 0 -1 0 1 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 1 -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 0.160887019278 0.991898202302 5 6 3 2 0132 2310 3201 0132 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.160887019278 0.991898202302 4 5 5 3 0132 1230 3012 0132 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 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 0.866698919993 0.906873521817 6 6 3 4 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509090995599 0.694738703659 ==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' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_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_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 38*c_0101_3^10 + 101*c_0101_3^9 + 122*c_0101_3^8 - 29*c_0101_3^7 - 276*c_0101_3^6 - 360*c_0101_3^5 - 136*c_0101_3^4 + 185*c_0101_3^3 + 249*c_0101_3^2 + 118*c_0101_3 - 44, c_0011_0 - 1, c_0011_2 + c_0101_3^7 + 2*c_0101_3^6 + c_0101_3^5 - 2*c_0101_3^4 - 4*c_0101_3^3 - 2*c_0101_3^2 + c_0101_3 + 1, c_0011_4 + c_0101_3^8 + 3*c_0101_3^7 + 4*c_0101_3^6 + c_0101_3^5 - 5*c_0101_3^4 - 8*c_0101_3^3 - 5*c_0101_3^2 + 1, c_0011_6 - c_0101_3^10 - 3*c_0101_3^9 - 4*c_0101_3^8 - c_0101_3^7 + 5*c_0101_3^6 + 8*c_0101_3^5 + 6*c_0101_3^4 + c_0101_3^3 - c_0101_3^2 - c_0101_3, c_0101_0 + c_0101_3^10 + 3*c_0101_3^9 + 4*c_0101_3^8 + c_0101_3^7 - 5*c_0101_3^6 - 8*c_0101_3^5 - 5*c_0101_3^4 + c_0101_3^2 - 1, c_0101_1 - c_0101_3^9 - 3*c_0101_3^8 - 4*c_0101_3^7 - c_0101_3^6 + 5*c_0101_3^5 + 8*c_0101_3^4 + 6*c_0101_3^3 + c_0101_3^2 - c_0101_3 - 1, c_0101_3^11 + 3*c_0101_3^10 + 4*c_0101_3^9 - 8*c_0101_3^7 - 12*c_0101_3^6 - 6*c_0101_3^5 + 5*c_0101_3^4 + 9*c_0101_3^3 + 5*c_0101_3^2 - c_0101_3 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 22577/2261*c_0101_3^11 + 22725/2261*c_0101_3^10 + 7994/323*c_0101_3^9 - 186332/2261*c_0101_3^8 + 91282/2261*c_0101_3^7 + 209240/2261*c_0101_3^6 - 270327/2261*c_0101_3^5 + 30028/2261*c_0101_3^4 + 7423/133*c_0101_3^3 - 151019/2261*c_0101_3^2 - 8525/2261*c_0101_3 + 54233/2261, c_0011_0 - 1, c_0011_2 - 83/323*c_0101_3^11 + 161/323*c_0101_3^10 + 46/323*c_0101_3^9 - 656/323*c_0101_3^8 + 985/323*c_0101_3^7 - 348/323*c_0101_3^6 - 354/323*c_0101_3^5 + 566/323*c_0101_3^4 - 16/19*c_0101_3^3 - 120/323*c_0101_3^2 - 307/323*c_0101_3 + 215/323, c_0011_4 + 108/323*c_0101_3^11 - 299/323*c_0101_3^10 + 53/323*c_0101_3^9 + 1126/323*c_0101_3^8 - 2060/323*c_0101_3^7 + 877/323*c_0101_3^6 + 1488/323*c_0101_3^5 - 1974/323*c_0101_3^4 + 46/19*c_0101_3^3 + 269/323*c_0101_3^2 - 445/323*c_0101_3 + 16/323, c_0011_6 - 54/323*c_0101_3^11 + 311/323*c_0101_3^10 - 188/323*c_0101_3^9 - 886/323*c_0101_3^8 + 2322/323*c_0101_3^7 - 1246/323*c_0101_3^6 - 1713/323*c_0101_3^5 + 2602/323*c_0101_3^4 - 61/19*c_0101_3^3 - 296/323*c_0101_3^2 + 707/323*c_0101_3 - 8/323, c_0101_0 - 16/323*c_0101_3^11 + 140/323*c_0101_3^10 - 283/323*c_0101_3^9 - 107/323*c_0101_3^8 + 1334/323*c_0101_3^7 - 2044/323*c_0101_3^6 + 605/323*c_0101_3^5 + 1728/323*c_0101_3^4 - 118/19*c_0101_3^3 + 654/323*c_0101_3^2 + 365/323*c_0101_3 - 445/323, c_0101_1 + 8/323*c_0101_3^11 - 70/323*c_0101_3^10 - 20/323*c_0101_3^9 + 215/323*c_0101_3^8 - 344/323*c_0101_3^7 - 270/323*c_0101_3^6 + 505/323*c_0101_3^5 + 105/323*c_0101_3^4 - 36/19*c_0101_3^3 + 319/323*c_0101_3^2 - 21/323*c_0101_3 - 262/323, c_0101_3^12 - 2*c_0101_3^11 - c_0101_3^10 + 10*c_0101_3^9 - 13*c_0101_3^8 - c_0101_3^7 + 17*c_0101_3^6 - 15*c_0101_3^5 + 2*c_0101_3^4 + 8*c_0101_3^3 - 6*c_0101_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB