Magma V2.19-8 Tue Aug 20 2013 16:17:36 on localhost [Seed = 1427425714] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1841 geometric_solution 5.48996835 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 0.461416633341 0.193435404872 2 0 3 0 0132 2310 0132 0132 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695295157155 0.579309172017 1 4 3 5 0132 0132 3012 0132 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 -1 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 0.830683332854 1.252462736410 5 2 4 1 1023 1230 3201 0132 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 0 0 0 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 0.830683332854 1.252462736410 3 2 6 6 2310 0132 2310 0132 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 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 -0.882444203284 0.623365042350 5 3 2 5 3201 1023 0132 2310 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 -1 1 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857470444288 0.871911303874 6 4 4 6 3201 3201 0132 2310 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 -0.291201368123 0.916937262207 ==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' : 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' : d['c_0011_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_6'], '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_0011_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_3'], 'c_0011_4' : d['c_0011_1'], '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_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' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], '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_1']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 2607511900403993832041526515796450497857663095669057/63240719804760\ 7992132154921195287131305579428401*c_0101_3^27 + 11562080589106960311756759972994496014926480341171131/6324071980476\ 07992132154921195287131305579428401*c_0101_3^26 - 26240567072915421920222061776784036820855536687538128/6324071980476\ 07992132154921195287131305579428401*c_0101_3^25 - 188578254740589838936136736331920847630378837357127847/632407198047\ 607992132154921195287131305579428401*c_0101_3^24 - 170861404420917538321674338292643944418743551480360882/632407198047\ 607992132154921195287131305579428401*c_0101_3^23 + 280973862652192901564615076604152631263689372335335058/632407198047\ 607992132154921195287131305579428401*c_0101_3^22 - 15001775731221920261852986165507771402258594284701640/6324071980476\ 07992132154921195287131305579428401*c_0101_3^21 - 133260738974138716688528188182102990852489026426207261/632407198047\ 607992132154921195287131305579428401*c_0101_3^20 + 5667100280968645746739502811205807786734502559264552480/63240719804\ 7607992132154921195287131305579428401*c_0101_3^19 + 11022173260210166313678583912992679873074788968425471965/6324071980\ 47607992132154921195287131305579428401*c_0101_3^18 - 7394201721262742305962539849018126643989744264946918429/63240719804\ 7607992132154921195287131305579428401*c_0101_3^17 - 37345802091228993484835804295536621561865570749623102740/6324071980\ 47607992132154921195287131305579428401*c_0101_3^16 - 8693855881672115113293588401723599814365163208046376393/63240719804\ 7607992132154921195287131305579428401*c_0101_3^15 + 60318238568271785126055213984770170665368617743647032446/6324071980\ 47607992132154921195287131305579428401*c_0101_3^14 + 24448910965013785379645070470359249533844926524133805571/6324071980\ 47607992132154921195287131305579428401*c_0101_3^13 - 62823112217781869975187410280277597260177116359644638186/6324071980\ 47607992132154921195287131305579428401*c_0101_3^12 - 18643409889819159652769560697718357669158890302182620446/6324071980\ 47607992132154921195287131305579428401*c_0101_3^11 + 52420299811062269238480818843417610348784023418427477073/6324071980\ 47607992132154921195287131305579428401*c_0101_3^10 + 10981822328022231620592210469449184212933486555623415446/6324071980\ 47607992132154921195287131305579428401*c_0101_3^9 - 30879759801874360932960906291069405115241338070407646627/6324071980\ 47607992132154921195287131305579428401*c_0101_3^8 - 6039774256245743919526826199817580981165188216237441626/63240719804\ 7607992132154921195287131305579428401*c_0101_3^7 + 11498357081410851172470198875725141501418145821999553543/6324071980\ 47607992132154921195287131305579428401*c_0101_3^6 + 1815394541921648819002320551027467522900254701069247566/63240719804\ 7607992132154921195287131305579428401*c_0101_3^5 - 2439721263291114474458170610732235055876856107240518869/63240719804\ 7607992132154921195287131305579428401*c_0101_3^4 - 177433444395244038559580451772690105272283540275422795/632407198047\ 607992132154921195287131305579428401*c_0101_3^3 + 213191456064930609823199295258844818936031786682605680/632407198047\ 607992132154921195287131305579428401*c_0101_3^2 + 8366091083366010200307401070708396134801553706275248/63240719804760\ 7992132154921195287131305579428401*c_0101_3 - 5415455678782320722238113759712961779987576786553733/63240719804760\ 7992132154921195287131305579428401, c_0011_0 - 1, c_0011_1 - 12127994186733924633233785961825279436923754553467/632407198\ 047607992132154921195287131305579428401*c_0101_3^27 - 57018191763126269229785595277372256385790210215925/6324071980476079\ 92132154921195287131305579428401*c_0101_3^26 + 107501740383016026556139537612601908418572295604776/632407198047607\ 992132154921195287131305579428401*c_0101_3^25 + 908490787928514248964356568399649241238382801854864/632407198047607\ 992132154921195287131305579428401*c_0101_3^24 + 1028757456475677443861693308703204890532178344107364/63240719804760\ 7992132154921195287131305579428401*c_0101_3^23 - 1077797970832043628710918551569800633248766948686775/63240719804760\ 7992132154921195287131305579428401*c_0101_3^22 - 234507430984459168248998020522384324345361441434173/632407198047607\ 992132154921195287131305579428401*c_0101_3^21 + 658487882499026612470828807717618197989329677897364/632407198047607\ 992132154921195287131305579428401*c_0101_3^20 - 26225830067965571579705698930856528804129918627347499/6324071980476\ 07992132154921195287131305579428401*c_0101_3^19 - 58303147678919576134266803840665295207982249543890631/6324071980476\ 07992132154921195287131305579428401*c_0101_3^18 + 20325191158967111485954396577132868107656634602814539/6324071980476\ 07992132154921195287131305579428401*c_0101_3^17 + 181171650551627433254412501725238455707480552331988075/632407198047\ 607992132154921195287131305579428401*c_0101_3^16 + 85190929352104596918393188010498665294926889342104873/6324071980476\ 07992132154921195287131305579428401*c_0101_3^15 - 266644585796388929532855960252031622363474099469865700/632407198047\ 607992132154921195287131305579428401*c_0101_3^14 - 181747490768998482499100835908735665524397799615540701/632407198047\ 607992132154921195287131305579428401*c_0101_3^13 + 261050393403491118727501761498849988765888787375611672/632407198047\ 607992132154921195287131305579428401*c_0101_3^12 + 154396784454827721897028213386756033119455239184357001/632407198047\ 607992132154921195287131305579428401*c_0101_3^11 - 222669047536298297286673672313043403870834214600168866/632407198047\ 607992132154921195287131305579428401*c_0101_3^10 - 106928476320526833945572294281073435287969347680554083/632407198047\ 607992132154921195287131305579428401*c_0101_3^9 + 131200000909311328034713962552839866290312272976733459/632407198047\ 607992132154921195287131305579428401*c_0101_3^8 + 59006345328268645511217228115086820676376331466841811/6324071980476\ 07992132154921195287131305579428401*c_0101_3^7 - 47149625861758893234464372608911217146045464583108192/6324071980476\ 07992132154921195287131305579428401*c_0101_3^6 - 18725015023856507224651560589971838519403155827693080/6324071980476\ 07992132154921195287131305579428401*c_0101_3^5 + 10029380437401596960295477044828409867520403535977739/6324071980476\ 07992132154921195287131305579428401*c_0101_3^4 + 2668634673435841232295422170402569031139624974563802/63240719804760\ 7992132154921195287131305579428401*c_0101_3^3 - 1046146406703499912834659717670824278436607979228295/63240719804760\ 7992132154921195287131305579428401*c_0101_3^2 - 128110503962733861811245701961321849415677253124649/632407198047607\ 992132154921195287131305579428401*c_0101_3 + 34505705735131987423083046398134501733791456433096/6324071980476079\ 92132154921195287131305579428401, c_0011_3 + 14852319197386493969455996711076320329031153088999/632407198\ 047607992132154921195287131305579428401*c_0101_3^27 + 66992971228393572094792927376492216146363863369893/6324071980476079\ 92132154921195287131305579428401*c_0101_3^26 - 144071146421471573796580359623966291504217894178759/632407198047607\ 992132154921195287131305579428401*c_0101_3^25 - 1083718428844226241961332995787349838054150975091956/63240719804760\ 7992132154921195287131305579428401*c_0101_3^24 - 1057716850877943791011944702433306615812544208557673/63240719804760\ 7992132154921195287131305579428401*c_0101_3^23 + 1498035241113751988809413325493390471551432184722207/63240719804760\ 7992132154921195287131305579428401*c_0101_3^22 - 5933203520423884783501879682165194113472968888229/63240719804760799\ 2132154921195287131305579428401*c_0101_3^21 - 752257869318683725856619084467897844492080088839827/632407198047607\ 992132154921195287131305579428401*c_0101_3^20 + 32235122142334441980597417897541258586957134391807378/6324071980476\ 07992132154921195287131305579428401*c_0101_3^19 + 65236105265596856498160253177847703292691154863357287/6324071980476\ 07992132154921195287131305579428401*c_0101_3^18 - 36546923865231170980460828101980369632841973992879714/6324071980476\ 07992132154921195287131305579428401*c_0101_3^17 - 213872086315307410223723126696856136978133904928976896/632407198047\ 607992132154921195287131305579428401*c_0101_3^16 - 65479860059554814061211790456879779791870485649219706/6324071980476\ 07992132154921195287131305579428401*c_0101_3^15 + 334525382363576311109200035910167254340916559832037880/632407198047\ 607992132154921195287131305579428401*c_0101_3^14 + 160675379806435883239620678582374600481761054624576438/632407198047\ 607992132154921195287131305579428401*c_0101_3^13 - 341364633065424452743175975339944103838306126261027402/632407198047\ 607992132154921195287131305579428401*c_0101_3^12 - 125534516376227427792453823959768672930817493680567105/632407198047\ 607992132154921195287131305579428401*c_0101_3^11 + 286172808278392294068729920935545452726502622224871609/632407198047\ 607992132154921195287131305579428401*c_0101_3^10 + 78825278382264397315064478186676400277432687751736438/6324071980476\ 07992132154921195287131305579428401*c_0101_3^9 - 167308565672999642654511238406939369700248545132878968/632407198047\ 607992132154921195287131305579428401*c_0101_3^8 - 42948232117333604194163462389982728912090224372369415/6324071980476\ 07992132154921195287131305579428401*c_0101_3^7 + 61059613431701911181069639400001144760939236808909178/6324071980476\ 07992132154921195287131305579428401*c_0101_3^6 + 12768137729851212431896348951958731244710583047404905/6324071980476\ 07992132154921195287131305579428401*c_0101_3^5 - 12807333552411870329039796085411511544861697177035675/6324071980476\ 07992132154921195287131305579428401*c_0101_3^4 - 1371715735656293929744098641618425411814150342535659/63240719804760\ 7992132154921195287131305579428401*c_0101_3^3 + 1137206417108219654527851980029411189946541169476271/63240719804760\ 7992132154921195287131305579428401*c_0101_3^2 + 59567450631686019716529753829465329639183750106386/6324071980476079\ 92132154921195287131305579428401*c_0101_3 - 30332551358796845856508015688097028725826647958171/6324071980476079\ 92132154921195287131305579428401, c_0011_6 + 7972810251721866128961457941839598039766731054032/6324071980\ 47607992132154921195287131305579428401*c_0101_3^27 + 36780083870260998234750245226738478895507044884372/6324071980476079\ 92132154921195287131305579428401*c_0101_3^26 - 73897901723992555667874062462996444033996251029201/6324071980476079\ 92132154921195287131305579428401*c_0101_3^25 - 590739383294451503640278171239977900888810556075250/632407198047607\ 992132154921195287131305579428401*c_0101_3^24 - 624778471056938939672689928858480655232265739011725/632407198047607\ 992132154921195287131305579428401*c_0101_3^23 + 763425749943687061398808239335448777106030301177646/632407198047607\ 992132154921195287131305579428401*c_0101_3^22 + 92593089513770736856746483675424095272191710369696/6324071980476079\ 92132154921195287131305579428401*c_0101_3^21 - 433135714400198147991084755689620061470292483411405/632407198047607\ 992132154921195287131305579428401*c_0101_3^20 + 17268788318687890101117472749852502451102785659202631/6324071980476\ 07992132154921195287131305579428401*c_0101_3^19 + 36804660135993959523428852436327651146802876700867179/6324071980476\ 07992132154921195287131305579428401*c_0101_3^18 - 16569057245642676769472723055691994598697103099195820/6324071980476\ 07992132154921195287131305579428401*c_0101_3^17 - 117776550685977148652494110316102965071220324596128044/632407198047\ 607992132154921195287131305579428401*c_0101_3^16 - 46059325510228052165495648118427282842409818327157429/6324071980476\ 07992132154921195287131305579428401*c_0101_3^15 + 179382643878039479050979515317766175654669969064958525/632407198047\ 607992132154921195287131305579428401*c_0101_3^14 + 104949720729680131151553320474799379666141461929143533/632407198047\ 607992132154921195287131305579428401*c_0101_3^13 - 180143494797616919749220292560719723897593699355380998/632407198047\ 607992132154921195287131305579428401*c_0101_3^12 - 87573227307033966597127797581344040587673540295722820/6324071980476\ 07992132154921195287131305579428401*c_0101_3^11 + 152777520242831880541957722024589865240955948516365621/632407198047\ 607992132154921195287131305579428401*c_0101_3^10 + 58801910054083686738088425667902825392096938253459115/6324071980476\ 07992132154921195287131305579428401*c_0101_3^9 - 90400276604146013830952328959683924431479386450560976/6324071980476\ 07992132154921195287131305579428401*c_0101_3^8 - 32441102618248018433953464169475179282687518541929403/6324071980476\ 07992132154921195287131305579428401*c_0101_3^7 + 33240390757315545474482979968675371126499104318142801/6324071980476\ 07992132154921195287131305579428401*c_0101_3^6 + 10311104394798959445152931604046463277914731933299989/6324071980476\ 07992132154921195287131305579428401*c_0101_3^5 - 7176498385203611760975607952737754793882869055116826/63240719804760\ 7992132154921195287131305579428401*c_0101_3^4 - 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165968946508279812864178247408162590261366579646975154/632407198047\ 607992132154921195287131305579428401*c_0101_3^8 - 58619961566064878065202892180525094533411396742758613/6324071980476\ 07992132154921195287131305579428401*c_0101_3^7 + 60537721761022041288718361682476239550752070478618136/6324071980476\ 07992132154921195287131305579428401*c_0101_3^6 + 18367989144145336635176147852820703789076839224182513/6324071980476\ 07992132154921195287131305579428401*c_0101_3^5 - 12917294074058991556361753142727135330737487831597978/6324071980476\ 07992132154921195287131305579428401*c_0101_3^4 - 2459505701211724634734791774711207754686103410946864/63240719804760\ 7992132154921195287131305579428401*c_0101_3^3 + 1271746947229310298961246478702364269389225482497746/63240719804760\ 7992132154921195287131305579428401*c_0101_3^2 + 118884742245660641191930971897752435927493882428258/632407198047607\ 992132154921195287131305579428401*c_0101_3 - 38861044398461067837812443611141731900559610866516/6324071980476079\ 92132154921195287131305579428401, c_0101_3^28 + 4*c_0101_3^27 - 12*c_0101_3^26 - 68*c_0101_3^25 - 34*c_0101_3^24 + 137*c_0101_3^23 - 52*c_0101_3^22 - 50*c_0101_3^21 + 2196*c_0101_3^20 + 3284*c_0101_3^19 - 4696*c_0101_3^18 - 13133*c_0101_3^17 + 2928*c_0101_3^16 + 24733*c_0101_3^15 - 670*c_0101_3^14 - 28430*c_0101_3^13 + 3274*c_0101_3^12 + 23496*c_0101_3^11 - 4511*c_0101_3^10 - 13905*c_0101_3^9 + 2839*c_0101_3^8 + 5549*c_0101_3^7 - 1227*c_0101_3^6 - 1287*c_0101_3^5 + 343*c_0101_3^4 + 121*c_0101_3^3 - 34*c_0101_3^2 - 4*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.240 seconds, Total memory usage: 32.09MB