Magma V2.19-8 Tue Aug 20 2013 16:17:47 on localhost [Seed = 4300005] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2019 geometric_solution 5.56371594 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 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 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 0.227157265615 0.212601367956 2 0 3 0 0132 2310 0132 0132 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 0 0 -1 0 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 0.426171069781 1.983699087976 1 4 3 5 0132 0132 0213 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 0 0 1 0 -1 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 0.361613776378 0.565145253919 5 2 4 1 3201 0213 3201 0132 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 0 0 0 1 0 0 -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 0.361613776378 0.565145253919 3 2 4 4 2310 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 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 1.196688172495 1.255449588450 6 6 2 3 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260704012978 0.967061245309 5 6 6 5 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 -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 -0.793188470123 0.607674914370 ==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_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_0011_5, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 431100002500494739016/7323312468840291497*c_0101_4^25 - 7841439921635224213578/7323312468840291497*c_0101_4^23 + 16136169140696639931759/7323312468840291497*c_0101_4^21 + 43182531408015630297140/7323312468840291497*c_0101_4^19 + 22206939947274315252678/1046187495548613071*c_0101_4^17 - 383624449912774801828555/7323312468840291497*c_0101_4^15 + 197743431703080300058683/7323312468840291497*c_0101_4^13 - 42884542858711268195613/1046187495548613071*c_0101_4^11 + 165854123220612779506685/7323312468840291497*c_0101_4^9 - 46165803059141306300765/7323312468840291497*c_0101_4^7 + 35295115395122616044510/7323312468840291497*c_0101_4^5 - 13404383996320686850/23101932078360541*c_0101_4^3 - 2168622813450644685315/7323312468840291497*c_0101_4, c_0011_0 - 1, c_0011_1 - 1204885008189123942/7323312468840291497*c_0101_4^24 + 21096720766957779288/7323312468840291497*c_0101_4^22 - 30573275406028164249/7323312468840291497*c_0101_4^20 - 144594902221545540542/7323312468840291497*c_0101_4^18 - 75520627731161962917/1046187495548613071*c_0101_4^16 + 734977930050800112378/7323312468840291497*c_0101_4^14 + 28527807919293019843/7323312468840291497*c_0101_4^12 + 107790872046125072327/1046187495548613071*c_0101_4^10 + 20421690702344465967/7323312468840291497*c_0101_4^8 + 27917618418623297855/7323312468840291497*c_0101_4^6 - 51339118776934084627/7323312468840291497*c_0101_4^4 - 121552258730661184/23101932078360541*c_0101_4^2 + 278582243349133868/7323312468840291497, c_0011_3 - 3610008531719494027/7323312468840291497*c_0101_4^25 + 64888207929279815868/7323312468840291497*c_0101_4^23 - 121141725315045849489/7323312468840291497*c_0101_4^21 - 388491067623505607042/7323312468840291497*c_0101_4^19 - 197381728040908631431/1046187495548613071*c_0101_4^17 + 2917226285964837561208/7323312468840291497*c_0101_4^15 - 1030237987260208474996/7323312468840291497*c_0101_4^13 + 315138749391495811493/1046187495548613071*c_0101_4^11 - 824941012644294065543/7323312468840291497*c_0101_4^9 + 230012193204677224098/7323312468840291497*c_0101_4^7 - 223766883482732104464/7323312468840291497*c_0101_4^5 - 15355525855192626/23101932078360541*c_0101_4^3 + 1235525668476181839/7323312468840291497*c_0101_4, c_0011_5 - 2626805526354961445/7323312468840291497*c_0101_4^25 + 46457867396249259997/7323312468840291497*c_0101_4^23 - 74915003040261770909/7323312468840291497*c_0101_4^21 - 301143535196088929178/7323312468840291497*c_0101_4^19 - 157168126006806242041/1046187495548613071*c_0101_4^17 + 1791063307589677845609/7323312468840291497*c_0101_4^15 - 281609325487510193001/7323312468840291497*c_0101_4^13 + 244429340480031814853/1046187495548613071*c_0101_4^11 - 253607898775389812110/7323312468840291497*c_0101_4^9 + 194190304854437711318/7323312468840291497*c_0101_4^7 - 182726730216436071874/7323312468840291497*c_0101_4^5 - 129412603832950513/23101932078360541*c_0101_4^3 - 4393424995746894190/7323312468840291497*c_0101_4, c_0101_1 - 435978449731422265/7323312468840291497*c_0101_4^24 + 7841588483668665687/7323312468840291497*c_0101_4^22 - 14776620578241108533/7323312468840291497*c_0101_4^20 - 45699442029277365866/7323312468840291497*c_0101_4^18 - 24169126100532829500/1046187495548613071*c_0101_4^16 + 349928137940282647273/7323312468840291497*c_0101_4^14 - 142732145426014920444/7323312468840291497*c_0101_4^12 + 48057385729085209177/1046187495548613071*c_0101_4^10 - 158278897888150007575/7323312468840291497*c_0101_4^8 + 62238414380992247970/7323312468840291497*c_0101_4^6 - 70551698521204353665/7323312468840291497*c_0101_4^4 + 23764971679852359/23101932078360541*c_0101_4^2 + 756288391247399548/7323312468840291497, c_0101_3 + 654552264496862409/7323312468840291497*c_0101_4^24 - 11125485320301091872/7323312468840291497*c_0101_4^22 + 10554500683925097771/7323312468840291497*c_0101_4^20 + 90240155146168284617/7323312468840291497*c_0101_4^18 + 46210597501645290124/1046187495548613071*c_0101_4^16 - 276303529448454909414/7323312468840291497*c_0101_4^14 - 303586013875797325469/7323312468840291497*c_0101_4^12 - 44809764518161265760/1046187495548613071*c_0101_4^10 - 166687949255197593738/7323312468840291497*c_0101_4^8 + 52258573866028803354/7323312468840291497*c_0101_4^6 + 31868199793852116825/7323312468840291497*c_0101_4^4 + 99760458847661840/23101932078360541*c_0101_4^2 + 2236981159097823679/7323312468840291497, c_0101_4^26 - 18*c_0101_4^24 + 34*c_0101_4^22 + 107*c_0101_4^20 + 380*c_0101_4^18 - 820*c_0101_4^16 + 296*c_0101_4^14 - 620*c_0101_4^12 + 256*c_0101_4^10 - 44*c_0101_4^8 + 64*c_0101_4^6 + 4*c_0101_4^4 - 6*c_0101_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB