Magma V2.19-8 Tue Aug 20 2013 16:16:22 on localhost [Seed = 3600239158] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0644 geometric_solution 4.63246391 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 2.738713241161 0.312525047146 0 2 2 0 3201 0132 3201 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 -1 0 1 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 -0.393876831102 0.222315920028 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 -1 1 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.082709892609 1.404572824194 4 5 4 2 1302 0132 1230 0132 0 0 0 0 0 0 1 -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 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 0.645000561426 0.614066678872 5 3 2 3 3201 2031 0132 3012 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 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 0.645000561426 0.614066678872 6 3 6 4 0132 0132 1023 2310 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 1 -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 0.659442871129 0.824669682833 5 6 5 6 0132 1302 1023 2031 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 0 -1 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 0.515563990053 0.151684558399 ==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_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0110_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_4']), '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' : d['c_0101_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 154520584/191249*c_0110_4^16 - 259659513/191249*c_0110_4^15 - 791855113/191249*c_0110_4^14 - 996279492/191249*c_0110_4^13 - 969572312/191249*c_0110_4^12 + 2765550775/191249*c_0110_4^11 + 2528489087/191249*c_0110_4^10 + 2452562603/191249*c_0110_4^9 - 249986635/191249*c_0110_4^8 - 1633221568/191249*c_0110_4^7 - 2681126876/191249*c_0110_4^6 - 257826213/191249*c_0110_4^5 - 1506168278/191249*c_0110_4^4 + 2403484140/191249*c_0110_4^3 + 594349805/191249*c_0110_4^2 - 1015379436/191249*c_0110_4 + 212858817/191249, c_0011_0 - 1, c_0011_1 - 153373155/191249*c_0110_4^16 - 239799083/191249*c_0110_4^15 - 748606186/191249*c_0110_4^14 - 881955724/191249*c_0110_4^13 - 803686165/191249*c_0110_4^12 + 2921323004/191249*c_0110_4^11 + 2259640244/191249*c_0110_4^10 + 2039803358/191249*c_0110_4^9 - 690955457/191249*c_0110_4^8 - 1769790134/191249*c_0110_4^7 - 2530642853/191249*c_0110_4^6 + 107816073/191249*c_0110_4^5 - 1319373260/191249*c_0110_4^4 + 2630514506/191249*c_0110_4^3 + 408911031/191249*c_0110_4^2 - 1150355060/191249*c_0110_4 + 272169301/191249, c_0011_3 + 43581154/191249*c_0110_4^16 + 70065224/191249*c_0110_4^15 + 216715926/191249*c_0110_4^14 + 262058893/191249*c_0110_4^13 + 245327228/191249*c_0110_4^12 - 811284333/191249*c_0110_4^11 - 669038464/191249*c_0110_4^10 - 621679099/191249*c_0110_4^9 + 149321646/191249*c_0110_4^8 + 487310631/191249*c_0110_4^7 + 733134209/191249*c_0110_4^6 + 8128441/191249*c_0110_4^5 + 393300241/191249*c_0110_4^4 - 721530828/191249*c_0110_4^3 - 135807710/191249*c_0110_4^2 + 311711428/191249*c_0110_4 - 70486565/191249, c_0101_0 + 196932793/191249*c_0110_4^16 + 309243483/191249*c_0110_4^15 + 963987872/191249*c_0110_4^14 + 1140331794/191249*c_0110_4^13 + 1043559521/191249*c_0110_4^12 - 3738354131/191249*c_0110_4^11 - 2920787898/191249*c_0110_4^10 - 2648984186/191249*c_0110_4^9 + 854963499/191249*c_0110_4^8 + 2262579923/191249*c_0110_4^7 + 3260611674/191249*c_0110_4^6 - 110735324/191249*c_0110_4^5 + 1707167506/191249*c_0110_4^4 - 3360001637/191249*c_0110_4^3 - 538948213/191249*c_0110_4^2 + 1465992220/191249*c_0110_4 - 344481163/191249, c_0101_2 - 26905411/191249*c_0110_4^16 - 44002495/191249*c_0110_4^15 - 135295558/191249*c_0110_4^14 - 166116728/191249*c_0110_4^13 - 157704795/191249*c_0110_4^12 + 494092869/191249*c_0110_4^11 + 424192129/191249*c_0110_4^10 + 399792190/191249*c_0110_4^9 - 74838035/191249*c_0110_4^8 - 296390100/191249*c_0110_4^7 - 459042072/191249*c_0110_4^6 - 20140118/191249*c_0110_4^5 - 249207285/191249*c_0110_4^4 + 435873361/191249*c_0110_4^3 + 92317163/191249*c_0110_4^2 - 186859947/191249*c_0110_4 + 40721397/191249, c_0101_5 - 256460902/191249*c_0110_4^16 - 401080447/191249*c_0110_4^15 - 1252120228/191249*c_0110_4^14 - 1475657475/191249*c_0110_4^13 - 1345636816/191249*c_0110_4^12 + 4882519908/191249*c_0110_4^11 + 3778265252/191249*c_0110_4^10 + 3414547419/191249*c_0110_4^9 - 1150054774/191249*c_0110_4^8 - 2954542335/191249*c_0110_4^7 - 4230291524/191249*c_0110_4^6 + 178213459/191249*c_0110_4^5 - 2209638901/191249*c_0110_4^4 + 4395419852/191249*c_0110_4^3 + 682034052/191249*c_0110_4^2 - 1922191744/191249*c_0110_4 + 455493183/191249, c_0110_4^17 + c_0110_4^16 + 4*c_0110_4^15 + 3*c_0110_4^14 + 2*c_0110_4^13 - 22*c_0110_4^12 - 4*c_0110_4^11 - 5*c_0110_4^10 + 12*c_0110_4^9 + 9*c_0110_4^8 + 10*c_0110_4^7 - 10*c_0110_4^6 + 9*c_0110_4^5 - 22*c_0110_4^4 + 7*c_0110_4^3 + 9*c_0110_4^2 - 6*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB