Magma V2.19-8 Tue Aug 20 2013 16:16:29 on localhost [Seed = 4172899358] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0775 geometric_solution 4.71889635 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 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 1.549771870030 0.162954749606 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 -1 -1 2 0 0 0 0 -2 2 0 0 0 1 -1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.301017796926 0.321840877062 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 0 0 1 -1 1 -1 0 0 1 -2 1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568145446626 0.753833035115 2 5 4 4 0132 0132 1302 2031 0 0 0 0 0 0 1 -1 0 0 0 0 -1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337757945369 0.369314208175 3 3 2 5 2031 1302 0132 2310 0 0 0 0 0 0 1 -1 -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 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 0.337757945369 0.369314208175 4 3 6 6 3201 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.920571196473 1.309533786715 6 5 6 5 2031 2310 1302 0132 0 0 0 0 0 1 -1 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 1 -1 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 -0.121926592169 0.950690701996 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), '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_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), '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' : negation(d['c_0011_4']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : 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_4, c_0011_6, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 1804231256110348950162005482077/198486096422115932367612112480*c_01\ 01_5^21 - 10595862780421037672179738847181/124053810263822457729757\ 57030*c_0101_5^19 + 2442332875003660359147747153259313/198486096422\ 115932367612112480*c_0101_5^17 - 1173283811210511850971786641600854\ 9/198486096422115932367612112480*c_0101_5^15 + 3059843901424966645950180674170891/28355156631730847481087444640*c_\ 0101_5^13 - 15139501288702660585559058411555857/9924304821105796618\ 3806056240*c_0101_5^11 + 9690654958416038220788972653498173/4962152\ 4105528983091903028120*c_0101_5^9 - 3026453922240074676144610061097209/39697219284423186473522422496*c_\ 0101_5^7 + 2981014515602189717009548926844721/496215241055289830919\ 03028120*c_0101_5^5 - 4032810555779121766657124097119859/4962152410\ 5528983091903028120*c_0101_5^3 + 388929520208041768320158005066573/\ 198486096422115932367612112480*c_0101_5, c_0011_0 - 1, c_0011_1 - 160935669935666376250049/405073666167583535444106352*c_0101_\ 5^20 + 15127515657240962633781781/405073666167583535444106352*c_010\ 1_5^18 - 54597694677944476681826291/101268416541895883861026588*c_0\ 101_5^16 + 1057667635253088420846464027/405073666167583535444106352\ *c_0101_5^14 - 500698490531257377253920289/101268416541895883861026\ 588*c_0101_5^12 + 381294424435944816439195595/506342082709479419305\ 13294*c_0101_5^10 - 1026773846187930777974381619/101268416541895883\ 861026588*c_0101_5^8 + 2198638161520188928138408001/405073666167583\ 535444106352*c_0101_5^6 - 1697168695242102980627881837/405073666167\ 583535444106352*c_0101_5^4 + 1540389624512684814097018103/405073666\ 167583535444106352*c_0101_5^2 - 127216388646825546601615435/2025368\ 33083791767722053176, c_0011_4 + 420039732355720470244313/405073666167583535444106352*c_0101_\ 5^20 - 39465760725391813713981551/405073666167583535444106352*c_010\ 1_5^18 + 142080905540900025422610379/101268416541895883861026588*c_\ 0101_5^16 - 2729058334164737204014951155/40507366616758353544410635\ 2*c_0101_5^14 + 2494067342770641970735102081/2025368330837917677220\ 53176*c_0101_5^12 - 3539481082428151077227511577/202536833083791767\ 722053176*c_0101_5^10 + 4463333130352073122401624037/20253683308379\ 1767722053176*c_0101_5^8 - 3299247871926319400030591667/40507366616\ 7583535444106352*c_0101_5^6 + 2513973276433052620750375317/40507366\ 6167583535444106352*c_0101_5^4 - 3424435602940378841966726817/40507\ 3666167583535444106352*c_0101_5^2 + 31817463532429914797002745/202536833083791767722053176, c_0011_6 + 26748088905530880340613/405073666167583535444106352*c_0101_5\ ^20 - 2473571364814407384912471/405073666167583535444106352*c_0101_\ 5^18 + 8130777551201369996918839/101268416541895883861026588*c_0101\ _5^16 - 125187322627968100818029471/405073666167583535444106352*c_0\ 101_5^14 + 64750827765075709104743379/202536833083791767722053176*c\ _0101_5^12 - 143680637582715134680443171/20253683308379176772205317\ 6*c_0101_5^10 + 195886602778942683379601155/20253683308379176772205\ 3176*c_0101_5^8 - 159306917865339157501609291/405073666167583535444\ 106352*c_0101_5^6 + 575302482611598249811056833/4050736661675835354\ 44106352*c_0101_5^4 - 92977868014845432567484761/405073666167583535\ 444106352*c_0101_5^2 + 27632801353786733112715865/20253683308379176\ 7722053176, c_0101_0 + 3968491833805974816493363/405073666167583535444106352*c_0101\ _5^21 - 373218446476144915654492377/405073666167583535444106352*c_0\ 101_5^19 + 675266210792757002846626325/50634208270947941930513294*c\ _0101_5^17 - 26237102449826286050373094949/405073666167583535444106\ 352*c_0101_5^15 + 24570237005219229975162494003/2025368330837917677\ 22053176*c_0101_5^13 - 35076415624421833436935141613/20253683308379\ 1767722053176*c_0101_5^11 + 45143611419885640053063949127/202536833\ 083791767722053176*c_0101_5^9 - 39813681958193586021174338885/40507\ 3666167583535444106352*c_0101_5^7 + 28559055845124179309044390955/405073666167583535444106352*c_0101_5^\ 5 - 37791497460329757436171274947/405073666167583535444106352*c_010\ 1_5^3 + 1717544283928875069416692107/202536833083791767722053176*c_\ 0101_5, c_0101_2 + 940037033736682442802579/405073666167583535444106352*c_0101_\ 5^21 - 88456357250684311379984969/405073666167583535444106352*c_010\ 1_5^19 + 321091299486696056400800005/101268416541895883861026588*c_\ 0101_5^17 - 6284674259969479689334473193/40507366616758353544410635\ 2*c_0101_5^15 + 5997236888727147488783800609/2025368330837917677220\ 53176*c_0101_5^13 - 8682990912404951303010801921/202536833083791767\ 722053176*c_0101_5^11 + 11287052313285897695324059033/2025368330837\ 91767722053176*c_0101_5^9 - 10930185269736230479504093909/405073666\ 167583535444106352*c_0101_5^7 + 7554684358729120488112344439/405073\ 666167583535444106352*c_0101_5^5 - 9739873352178775285756027815/405073666167583535444106352*c_0101_5^3 + 749607348338294601729728447/202536833083791767722053176*c_0101_5, c_0101_5^22 - 94*c_0101_5^20 + 1357*c_0101_5^18 - 6551*c_0101_5^16 + 12103*c_0101_5^14 - 17208*c_0101_5^12 + 22088*c_0101_5^10 - 9161*c_0101_5^8 + 6922*c_0101_5^6 - 9180*c_0101_5^4 + 537*c_0101_5^2 - 14 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB