Magma V2.19-8 Tue Aug 20 2013 16:17:31 on localhost [Seed = 4189611297] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1751 geometric_solution 5.44367619 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 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 1 1 -2 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 0.370840115001 0.616169705448 0 3 2 0 0132 3012 3012 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 1 0 -1 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 0.174878595875 1.060198097540 4 1 3 0 0132 1230 2031 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 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 0.429523452409 0.710886164351 1 4 0 2 1230 3201 0132 1302 0 0 0 0 0 -1 1 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 -1 2 -1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429523452409 0.710886164351 2 5 3 5 0132 0132 2310 1023 0 0 0 0 0 0 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802492079308 1.931535368910 6 4 6 4 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -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 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529979101585 0.209429284451 5 6 5 6 0132 1302 1023 2031 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0 1 1 -1 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583183385688 0.051148530250 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0011_2']), '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_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], '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_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : 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_6'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 66625309566119/16633798322944*c_0101_6^20 + 37858751885935/8316899161472*c_0101_6^18 - 7252880588160901/16633798322944*c_0101_6^16 - 41103794793311869/8316899161472*c_0101_6^14 - 15401597043096779/4158449580736*c_0101_6^12 - 30250404723892781/8316899161472*c_0101_6^10 - 7691399000289077/16633798322944*c_0101_6^8 - 8806767267504383/8316899161472*c_0101_6^6 - 15940461513295/1512163483904*c_0101_6^4 + 1321107178601139/4158449580736*c_0101_6^2 + 383066579113363/4158449580736, c_0011_0 - 1, c_0011_2 + 82512184013/4536490451712*c_0101_6^21 + 97283042717/2268245225856*c_0101_6^19 - 8900752213567/4536490451712*c_0101_6^17 - 18800206376449/756081741952*c_0101_6^15 - 49265747886925/1134122612928*c_0101_6^13 - 21583874979645/756081741952*c_0101_6^11 - 92743691060759/4536490451712*c_0101_6^9 - 5170973230733/2268245225856*c_0101_6^7 - 12975706041077/1512163483904*c_0101_6^5 + 3532421240599/1134122612928*c_0101_6^3 + 163184602853/1134122612928*c_0101_6, c_0101_0 - 127980262411/1134122612928*c_0101_6^21 - 60517250125/567061306464*c_0101_6^19 + 13943865210917/1134122612928*c_0101_6^17 + 25872978465769/189020435488*c_0101_6^15 + 22488009182831/283530653232*c_0101_6^13 + 18857203890279/189020435488*c_0101_6^11 + 5884538785465/1134122612928*c_0101_6^9 + 22045916814529/567061306464*c_0101_6^7 - 2044303503625/378040870976*c_0101_6^5 - 585320399599/141765326616*c_0101_6^3 - 192225778897/283530653232*c_0101_6, c_0101_1 - 697582479931/4536490451712*c_0101_6^21 - 327756241537/2268245225856*c_0101_6^19 + 76006111364885/4536490451712*c_0101_6^17 + 140951704445007/756081741952*c_0101_6^15 + 121346447790581/1134122612928*c_0101_6^13 + 102367893116447/756081741952*c_0101_6^11 + 12793550961313/4536490451712*c_0101_6^9 + 124295984374429/2268245225856*c_0101_6^7 - 8019669294009/1512163483904*c_0101_6^5 - 5342530367597/1134122612928*c_0101_6^3 - 1683222786703/1134122612928*c_0101_6, c_0101_2 + 152826350753/4536490451712*c_0101_6^20 + 38232307433/2268245225856*c_0101_6^18 - 16714358670139/4536490451712*c_0101_6^16 - 29657687409645/756081741952*c_0101_6^14 - 6236601113185/1134122612928*c_0101_6^12 - 14963391226929/756081741952*c_0101_6^10 + 37806330535309/4536490451712*c_0101_6^8 - 26638128198089/2268245225856*c_0101_6^6 + 6956282038967/1512163483904*c_0101_6^4 + 2001035677399/1134122612928*c_0101_6^2 - 1111416440287/1134122612928, c_0101_5 - 197925309137/4536490451712*c_0101_6^20 - 91547468567/2268245225856*c_0101_6^18 + 21583441403623/4536490451712*c_0101_6^16 + 39940373104189/756081741952*c_0101_6^14 + 33128735103499/1134122612928*c_0101_6^12 + 25775587017045/756081741952*c_0101_6^10 + 3056151739139/4536490451712*c_0101_6^8 + 30833813426387/2268245225856*c_0101_6^6 - 2357077782963/1512163483904*c_0101_6^4 - 3285687621775/1134122612928*c_0101_6^2 + 225174763531/1134122612928, c_0101_6^22 + c_0101_6^20 - 109*c_0101_6^18 - 1219*c_0101_6^16 - 758*c_0101_6^14 - 802*c_0101_6^12 - 13*c_0101_6^10 - 271*c_0101_6^8 + 23*c_0101_6^6 + 71*c_0101_6^4 + 8*c_0101_6^2 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB