Magma V2.19-8 Tue Aug 20 2013 16:18:42 on localhost [Seed = 324177506] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2865 geometric_solution 6.08593399 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 1 0 -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 0.767312087704 1.080018539281 0 3 5 4 0132 0132 0132 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 0.562986518579 0.826718151009 3 0 4 5 3201 0132 3201 2310 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 -1 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 0.562986518579 0.826718151009 6 1 6 2 0132 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.009739280387 1.293474562571 2 4 1 4 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.876693440088 0.705420098498 2 5 5 1 3201 3201 2310 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 1 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 0.528023197082 0.535270950107 3 3 6 6 0132 3201 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436047083204 0.114916120448 ==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' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 27 Groebner basis: [ t - 16099138143264799435274051260511998123553806201268102399850/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^26 + 79087504120342499059234960093406097478993837058718619430478/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^25 - 186779672824369100709628890765196833277371174328656797100192/258167\ 14146731158090664294490060462360043236620537631737*c_0101_5^24 + 334153300054309684468970394432941030995045857036548579487212/258167\ 14146731158090664294490060462360043236620537631737*c_0101_5^23 - 425960484815349362082489824232220641897174325483716012032933/258167\ 14146731158090664294490060462360043236620537631737*c_0101_5^22 + 287733427843298708478413516551183012324489850237388521028371/258167\ 14146731158090664294490060462360043236620537631737*c_0101_5^21 + 51644531017102418793016235677181214021456829705654741518835/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^20 - 605812199403945439203698694023920979402993360327600177115167/258167\ 14146731158090664294490060462360043236620537631737*c_0101_5^19 + 1009985181683175969957936360928684647341585424100866236197346/25816\ 714146731158090664294490060462360043236620537631737*c_0101_5^18 - 844034104631664162447747218018036865409066946964912741420403/258167\ 14146731158090664294490060462360043236620537631737*c_0101_5^17 + 751275989551823068031289906433190308380389473600332077812850/258167\ 14146731158090664294490060462360043236620537631737*c_0101_5^16 - 751723514705383521384452223591378243747521862173059820558339/258167\ 14146731158090664294490060462360043236620537631737*c_0101_5^15 + 599665169129983047227184334054279762209538458933634858419455/258167\ 14146731158090664294490060462360043236620537631737*c_0101_5^14 - 339164850810467830961011222994367428763204190738069170848213/258167\ 14146731158090664294490060462360043236620537631737*c_0101_5^13 - 230909687196130774511436347994457941043701003196931880005232/258167\ 14146731158090664294490060462360043236620537631737*c_0101_5^12 + 333391164848189571964793019732634009457601379685600084645878/258167\ 14146731158090664294490060462360043236620537631737*c_0101_5^11 + 14134358774276168548920670621802522145565963664116306606629/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^10 - 155846993028942958308675848123397144732429687226709217178712/258167\ 14146731158090664294490060462360043236620537631737*c_0101_5^9 + 2476692903699357809294437634312181641133083779097379503713/25816714\ 146731158090664294490060462360043236620537631737*c_0101_5^8 + 135642259804855244767693448695518789687632991550186011073631/258167\ 14146731158090664294490060462360043236620537631737*c_0101_5^7 + 3141713428198424252781342758344028257761055522820369551887/25816714\ 146731158090664294490060462360043236620537631737*c_0101_5^6 - 36140203890288923912835158402109792760907220604209261119500/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^5 - 15255277242369733403371579299054250668458484577384074998014/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^4 + 12886263416321040357923734359303143189714583183881830885051/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^3 + 2315988919379600928973751641235241429122315851393877096441/25816714\ 146731158090664294490060462360043236620537631737*c_0101_5^2 - 1460985131231258641481755028342455205269814943406776954101/25816714\ 146731158090664294490060462360043236620537631737*c_0101_5 - 824500094401936228436437553168801725380741579925571729796/258167141\ 46731158090664294490060462360043236620537631737, c_0011_0 - 1, c_0011_4 + 1428286570061958137974902966792743482574746774601799150/1137\ 30018267538141368565173965024063260102363967126131*c_0101_5^26 - 6954295626557262454348043722797855675424458371430449042/11373001826\ 7538141368565173965024063260102363967126131*c_0101_5^25 + 14630899980633889859413516928212864817246868881764493323/1137300182\ 67538141368565173965024063260102363967126131*c_0101_5^24 - 22939991586694373574467163772050144867431044626865987008/1137300182\ 67538141368565173965024063260102363967126131*c_0101_5^23 + 23813205753224155213652421113700917581570316150977823301/1137300182\ 67538141368565173965024063260102363967126131*c_0101_5^22 - 1575908737790433630830529749801646806749699544980065698/11373001826\ 7538141368565173965024063260102363967126131*c_0101_5^21 - 29636777956256940352299493544288145839236986935342374085/1137300182\ 67538141368565173965024063260102363967126131*c_0101_5^20 + 67472024871115623414141062498792473190748388970821381139/1137300182\ 67538141368565173965024063260102363967126131*c_0101_5^19 - 78939943640653607724468721996894109173303446675724272156/1137300182\ 67538141368565173965024063260102363967126131*c_0101_5^18 + 26015601504044325835235003052291852655279242655026023185/1137300182\ 67538141368565173965024063260102363967126131*c_0101_5^17 - 7933292095287918495043463475469224242529040009105998187/11373001826\ 7538141368565173965024063260102363967126131*c_0101_5^16 + 14548818220166602047779286706006336545709060469124385202/1137300182\ 67538141368565173965024063260102363967126131*c_0101_5^15 - 728443115098782981937642029671928298587004737923697845/113730018267\ 538141368565173965024063260102363967126131*c_0101_5^14 - 13329366522552464934092869380233714312509174866816372476/1137300182\ 67538141368565173965024063260102363967126131*c_0101_5^13 + 58824577067142667521063846876684164492490336944898215475/1137300182\ 67538141368565173965024063260102363967126131*c_0101_5^12 - 39321789934216832417509469560810150029496546600485879930/1137300182\ 67538141368565173965024063260102363967126131*c_0101_5^11 - 18804317005334312801391418398594486996786062539820707197/1137300182\ 67538141368565173965024063260102363967126131*c_0101_5^10 + 25923410826959167820747568286339810111317307093013811220/1137300182\ 67538141368565173965024063260102363967126131*c_0101_5^9 + 1818892492175385538851567170251984495068566518299949785/11373001826\ 7538141368565173965024063260102363967126131*c_0101_5^8 - 18546035538242345758158038668254818991335210724672112714/1137300182\ 67538141368565173965024063260102363967126131*c_0101_5^7 - 4478753637523105179204647417260832213834914213548904684/11373001826\ 7538141368565173965024063260102363967126131*c_0101_5^6 + 6848170705431698083215650913738956411911130310751794918/11373001826\ 7538141368565173965024063260102363967126131*c_0101_5^5 + 2034384340763475434156689335828986422981248063928247393/11373001826\ 7538141368565173965024063260102363967126131*c_0101_5^4 - 1278550128479122476902690601810497544680583450596383064/11373001826\ 7538141368565173965024063260102363967126131*c_0101_5^3 - 641682251084041980909037254431502535267180811810894349/113730018267\ 538141368565173965024063260102363967126131*c_0101_5^2 + 302110135700967261425932873620862654919665120545992438/113730018267\ 538141368565173965024063260102363967126131*c_0101_5 + 79118225690910396433369968437004475743723678687469384/1137300182675\ 38141368565173965024063260102363967126131, c_0101_0 - 4310778453983176954561361370425187659654831739852860295600/2\ 5816714146731158090664294490060462360043236620537631737*c_0101_5^26 + 14946868181112476598417271964385966344670448923941111148638/25816\ 714146731158090664294490060462360043236620537631737*c_0101_5^25 - 29172012640243315528716485377861219734938528772734012259663/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^24 + 48390677004712334219630414754391178360280239253586974305420/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^23 - 43901550381760192600328674726997356796334143093492013710601/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^22 + 11335680566376100689449372961028257670134443310609033399709/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^21 + 40922058001484628318864459117322529150626832608295737337622/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^20 - 118824624529123864856329202695552677268204251226482889895908/258167\ 14146731158090664294490060462360043236620537631737*c_0101_5^19 + 113514060501094128280103205252932781143811491901496311850252/258167\ 14146731158090664294490060462360043236620537631737*c_0101_5^18 - 71236564012308871409343379601870348755895330294042585560228/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^17 + 76425900132725035820626738348162523499237095808915493743108/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^16 - 60084454636155765394849255261120769213144564890225237083863/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^15 + 52747974046502836633414333697895663433708601033212930024582/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^14 + 10088273911008866919137750331138954416299453395204594708009/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^13 - 65100260685352872175941728784193518948998226102014942652109/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^12 + 22160874014881698512286294598887439607662269315379054569545/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^11 + 24264240900823460618760229670173773276959452720583706315310/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^10 - 21901530964675303510333765680794350456860773774635946787301/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^9 - 17322137693895709514027667468488640012912964518541705203200/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^8 + 11220711803062122719847056303048193729634570761268638657907/2581671\ 4146731158090664294490060462360043236620537631737*c_0101_5^7 + 7825960151566780320908013670795765732360063687632383141670/25816714\ 146731158090664294490060462360043236620537631737*c_0101_5^6 - 1879211669068273346466781667272410720819734798758539867647/25816714\ 146731158090664294490060462360043236620537631737*c_0101_5^5 - 2696607794726923932575479971305976476310984022707046274158/25816714\ 146731158090664294490060462360043236620537631737*c_0101_5^4 + 506342062990239201554539987920631398393595157304103350113/258167141\ 46731158090664294490060462360043236620537631737*c_0101_5^3 + 544673845680795755226560948765374995823613641943087433517/258167141\ 46731158090664294490060462360043236620537631737*c_0101_5^2 - 53280512814161830967994331518096292511743852059155384965/2581671414\ 6731158090664294490060462360043236620537631737*c_0101_5 - 55542025198006667144972280083286427997146400372706043474/2581671414\ 6731158090664294490060462360043236620537631737, c_0101_1 - 2187496266569519358274833097694293163248840089701364000/1137\ 30018267538141368565173965024063260102363967126131*c_0101_5^26 + 8140757631851766044023008772852279709359577528518907970/11373001826\ 7538141368565173965024063260102363967126131*c_0101_5^25 - 15007481011877773286944332115661870748631697818116701180/1137300182\ 67538141368565173965024063260102363967126131*c_0101_5^24 + 21894932137781627104939338880600757877799525871411215920/1137300182\ 67538141368565173965024063260102363967126131*c_0101_5^23 - 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