Magma V2.19-8 Tue Aug 20 2013 16:17:44 on localhost [Seed = 2412647279] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1976 geometric_solution 5.54924846 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 0 0 0 0 0 -1 0 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 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 -0.304123012796 0.146125581738 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 -1 1 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 1.914122166285 1.198711869918 3 1 1 4 0132 3201 0132 0132 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 1 0 -1 -1 0 0 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 0.761064178743 0.462140828543 2 4 6 5 0132 0321 0132 0132 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 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 0.694358645783 0.841308696799 6 5 2 3 1023 1023 0132 0321 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 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 0.694358645783 0.841308696799 4 5 3 5 1023 2310 0132 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 0.694528615398 0.566483580208 6 4 6 3 2310 1023 3201 0132 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 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.005926064500 1.022820606212 ==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' : negation(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' : 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' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], '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' : d['c_0101_0'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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_0110_5'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_0101_0, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 40 Groebner basis: [ t + 1328243777234415644131727411224574906294334978648394905582831534/52\ 73930778875959231741140162173927793087856106592190949654975*c_0110_\ 5^39 - 849443601673911476187051966609638803715374980771203683138102\ 94252/5273930778875959231741140162173927793087856106592190949654975\ *c_0110_5^37 + 2669181875518066707445780616231411584617571940683219\ 31200348099983/5273930778875959231741140162173927793087856106592190\ 949654975*c_0110_5^35 - 9474994279824370388249840229432106420530279\ 406845465709057977047036/527393077887595923174114016217392779308785\ 6106592190949654975*c_0110_5^33 + 661392075114042351203164185755529\ 66567395161994179726754836219356803/5273930778875959231741140162173\ 927793087856106592190949654975*c_0110_5^31 - 2275161700094452943765438043902536811537603695204176269184504722457\ 91/5273930778875959231741140162173927793087856106592190949654975*c_\ 0110_5^29 + 5303982729925551268164356719572831006779850291093725165\ 03769564265481/5273930778875959231741140162173927793087856106592190\ 949654975*c_0110_5^27 - 5349314844671436832762511221056589974719507\ 89010641844681003285129319/5273930778875959231741140162173927793087\ 856106592190949654975*c_0110_5^25 + 3404312668885675850381939137286979235637827340531688706866257912539\ 9/5273930778875959231741140162173927793087856106592190949654975*c_0\ 110_5^23 - 11181995121279608628345998129816562756015838168851601997\ 3736895579851/52739307788759592317411401621739277930878561065921909\ 49654975*c_0110_5^21 + 91375201843751930215709899181790066887111186\ 777366301539727359681903/105478615577519184634822803243478555861757\ 1221318438189930995*c_0110_5^19 - 118448246124603593614313814432485\ 295372633447621186671196395134191453/527393077887595923174114016217\ 3927793087856106592190949654975*c_0110_5^17 - 9214805725508970723832226604971456407622571367087269878006127565488\ /5273930778875959231741140162173927793087856106592190949654975*c_01\ 10_5^15 - 832472516934247684098107108841770773803185349755671011697\ 31199202671/5273930778875959231741140162173927793087856106592190949\ 654975*c_0110_5^13 + 3476870654954147441629386341504997451885441383\ 7897838727883137823456/52739307788759592317411401621739277930878561\ 06592190949654975*c_0110_5^11 - 12031414199095170123259145645144976\ 621724164984618586289653065340723/527393077887595923174114016217392\ 7793087856106592190949654975*c_0110_5^9 + 4483057347961856904820478002266761564052088196255905238127178188731\ /5273930778875959231741140162173927793087856106592190949654975*c_01\ 10_5^7 - 3601905444378745038790577274430423624738065336066523080264\ 98652531/1054786155775191846348228032434785558617571221318438189930\ 995*c_0110_5^5 + 54101457024114680572452862119629720061330844769650\ 4664417436216906/52739307788759592317411401621739277930878561065921\ 90949654975*c_0110_5^3 - 664071262549243189656825180415062833184419\ 6675407203331243298956/10547861557751918463482280324347855586175712\ 21318438189930995*c_0110_5, c_0011_0 - 1, c_0011_2 + 6727765932978820553642440535816582000628807156878624075033/5\ 273930778875959231741140162173927793087856106592190949654975*c_0110\ _5^38 - 43606556803142237278556795640993614686550800438247553173020\ 8/5273930778875959231741140162173927793087856106592190949654975*c_0\ 110_5^36 + 17180394969609474240355618361976971393469593723662797354\ 31788/5273930778875959231741140162173927793087856106592190949654975\ *c_0110_5^34 - 9763073571399869277467566953117767480880519986966085\ 107268926/105478615577519184634822803243478555861757122131843818993\ 0995*c_0110_5^32 + 375560943241965151906865662171399157284034593058\ 927945688310802/527393077887595923174114016217392779308785610659219\ 0949654975*c_0110_5^30 - 280715519814460641119176218011341610266433\ 992384204622453709169/105478615577519184634822803243478555861757122\ 1318438189930995*c_0110_5^28 + 343445711705409796289413321682376911\ 4804641338689580282724887628/52739307788759592317411401621739277930\ 87856106592190949654975*c_0110_5^26 - 4265231250405315010878910666674417927470143425220176579962093729/52\ 73930778875959231741140162173927793087856106592190949654975*c_0110_\ 5^24 + 935345931270233686615299909079372946815788715200918508089831\ 892/5273930778875959231741140162173927793087856106592190949654975*c\ _0110_5^22 + 341325811478868043638685130743119337813087505656518798\ 96841869/5273930778875959231741140162173927793087856106592190949654\ 975*c_0110_5^20 + 4319759515949225309505015817121833041015309877265\ 332965542406551/527393077887595923174114016217392779308785610659219\ 0949654975*c_0110_5^18 - 269056294134427990558392155051684894399757\ 4879599625760836580491/52739307788759592317411401621739277930878561\ 06592190949654975*c_0110_5^16 - 10112958551572671372568868099149555\ 57551838179987453619784639163/5273930778875959231741140162173927793\ 087856106592190949654975*c_0110_5^14 - 732597060142182506716899039014808876027205258676039679901625699/527\ 3930778875959231741140162173927793087856106592190949654975*c_0110_5\ ^12 + 8654628428690722819272652853788617683937025273789109485928972\ 38/5273930778875959231741140162173927793087856106592190949654975*c_\ 0110_5^10 - 1951820031293185873606650847976879089983866783515647109\ 2132052/52739307788759592317411401621739277930878561065921909496549\ 75*c_0110_5^8 + 139872932856591455513061092922814791105144787750743\ 37069665001/1054786155775191846348228032434785558617571221318438189\ 930995*c_0110_5^6 + 85170219320965808192409622476682482629322128707\ 8154774602599/52739307788759592317411401621739277930878561065921909\ 49654975*c_0110_5^4 + 126435959333775016762535045388886541279883099\ 19135999871723162/5273930778875959231741140162173927793087856106592\ 190949654975*c_0110_5^2 - 19402984692654625131235145683057876551203\ 92949991512142986796/5273930778875959231741140162173927793087856106\ 592190949654975, c_0011_4 - 645315514209156826019118421476589204944335612379925162290117\ 8/26369653894379796158705700810869638965439280532960954748274875*c_\ 0110_5^39 + 4124980297022718201157654339446831655672231805800963379\ 21304653/2636965389437979615870570081086963896543928053296095474827\ 4875*c_0110_5^37 - 128425713751557066214881332722215610505410817438\ 4442201043955873/26369653894379796158705700810869638965439280532960\ 954748274875*c_0110_5^35 + 9199222231745239701509187202512798223855\ 972783467159422977066246/527393077887595923174114016217392779308785\ 6106592190949654975*c_0110_5^33 - 319934987878293756165021461343303\ 438037714751917375606635471146937/263696538943797961587057008108696\ 38965439280532960954748274875*c_0110_5^31 + 219164112361604091768839586430135298286231514599816206622803744568/\ 5273930778875959231741140162173927793087856106592190949654975*c_011\ 0_5^29 - 2544856248315021442720463902991308826300052257876605150306\ 981329293/263696538943797961587057008108696389654392805329609547482\ 74875*c_0110_5^27 + 25258012404477075769754777477940036589004736955\ 32220939559742138764/2636965389437979615870570081086963896543928053\ 2960954748274875*c_0110_5^25 - 983230113515477527328605846900937263\ 82937047919728972311674179407/2636965389437979615870570081086963896\ 5439280532960954748274875*c_0110_5^23 + 548391451615732723514092208534732927685404042394310727951112762531/\ 26369653894379796158705700810869638965439280532960954748274875*c_01\ 10_5^21 - 220104247011990518721754381231478836737964457573534385243\ 0877061426/26369653894379796158705700810869638965439280532960954748\ 274875*c_0110_5^19 + 5118316458342574197731184733757334858054000237\ 59523501878823577736/2636965389437979615870570081086963896543928053\ 2960954748274875*c_0110_5^17 + 515087057514535750609043111515489643\ 84174828932981891415549695398/2636965389437979615870570081086963896\ 5439280532960954748274875*c_0110_5^15 + 405207618117810912915227055520320103592616979529014898514473623459/\ 26369653894379796158705700810869638965439280532960954748274875*c_01\ 10_5^13 - 156532189493630789496411711848096221934422009570549028332\ 847155553/263696538943797961587057008108696389654392805329609547482\ 74875*c_0110_5^11 + 55709215862599424181560688467056148809015558747\ 123624000151488282/263696538943797961587057008108696389654392805329\ 60954748274875*c_0110_5^9 - 401084715770104089192210806247886509253\ 6852111534165799593402183/52739307788759592317411401621739277930878\ 56106592190949654975*c_0110_5^7 + 833182208353804613766732479086124\ 6541527934887960426696457278691/26369653894379796158705700810869638\ 965439280532960954748274875*c_0110_5^5 - 2441043861543815017026597996064914608020695797922302645462688227/26\ 369653894379796158705700810869638965439280532960954748274875*c_0110\ _5^3 + 124533042559147803234916847321959177198299035521936513362515\ 056/26369653894379796158705700810869638965439280532960954748274875*\ c_0110_5, c_0101_0 + 111493860664019155546137696546991556137352703922550936212556\ 2/26369653894379796158705700810869638965439280532960954748274875*c_\ 0110_5^39 - 7144597391297325906474433056385938094929424253433724942\ 9192532/26369653894379796158705700810869638965439280532960954748274\ 875*c_0110_5^37 + 2332160738264796744402593722028001639650304294681\ 32975559706052/2636965389437979615870570081086963896543928053296095\ 4748274875*c_0110_5^35 - 159665699399496398245915619369198674700643\ 2034370593343759067842/52739307788759592317411401621739277930878561\ 06592190949654975*c_0110_5^33 + 56540960863467411301895576349886509\ 174583608377174877375764497928/263696538943797961587057008108696389\ 65439280532960954748274875*c_0110_5^31 - 7929131920512975924675176103430036817062145973409021889412127053/10\ 54786155775191846348228032434785558617571221318438189930995*c_0110_\ 5^29 + 470568582041383131401912477206466798106233571883359221994781\ 506052/263696538943797961587057008108696389654392805329609547482748\ 75*c_0110_5^27 - 50889018229418122511230604157923868933215081701304\ 8265358368428711/26369653894379796158705700810869638965439280532960\ 954748274875*c_0110_5^25 + 9230789148323696956962256570555839623145\ 7215025100742430714990398/26369653894379796158705700810869638965439\ 280532960954748274875*c_0110_5^23 - 102401749164614818180653798194757245764463993945536966954964690644/\ 26369653894379796158705700810869638965439280532960954748274875*c_01\ 10_5^21 + 394385502853533988650456122714645681442102526288271010641\ 297538809/263696538943797961587057008108696389654392805329609547482\ 74875*c_0110_5^19 - 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