Magma V2.19-8 Tue Aug 20 2013 16:18:50 on localhost [Seed = 2000087560] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2994 geometric_solution 6.17407622 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 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 1 0 -1 0 0 1 -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 0.705137779027 0.440134468328 0 3 5 4 0132 0132 0132 0132 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 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 0.632759429151 0.490200300203 4 5 3 0 0132 1023 0132 0132 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 0 0 0 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632759429151 0.490200300203 3 1 3 2 2031 0132 1302 0132 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 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 0 0 0.650326733936 0.761552821333 2 6 1 6 0132 0132 0132 2310 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 0 0 0 -1 0 0 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 1.644543755496 0.897930841267 2 5 5 1 1023 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560211926315 0.710886393633 4 4 6 6 3201 0132 1230 3012 0 0 0 0 0 0 0 0 1 0 -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 1 -1 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347896335164 0.473554795409 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_2_3' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0110_6'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_0']), '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' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 45990700783505152780420291733/236218781098991410348017578*c_0110_6^\ 23 + 189455324526762099975305783545/236218781098991410348017578*c_0\ 110_6^22 - 102981349423380112742451412785/1687277007849938645342982\ 7*c_0110_6^21 - 2051253960941030715416073940617/1181093905494957051\ 74008789*c_0110_6^20 + 9450019435678138347653855178612/118109390549\ 495705174008789*c_0110_6^19 + 25883024306223995410379672578055/2362\ 18781098991410348017578*c_0110_6^18 - 108989356399958800154765128783969/236218781098991410348017578*c_011\ 0_6^17 - 83361826680662790799788057513261/2362187810989914103480175\ 78*c_0110_6^16 + 172745786056815924998261788501259/1181093905494957\ 05174008789*c_0110_6^15 + 82327446950853951725659590680116/11810939\ 0549495705174008789*c_0110_6^14 - 339781344479339002332487250053740\ /118109390549495705174008789*c_0110_6^13 - 199981446653978163462883771043725/236218781098991410348017578*c_011\ 0_6^12 + 858019700955835081513364494762483/236218781098991410348017\ 578*c_0110_6^11 + 144797381019185791635348302278077/236218781098991\ 410348017578*c_0110_6^10 - 694088486863589880943893335302629/236218\ 781098991410348017578*c_0110_6^9 - 30618351931473196812053716993615/118109390549495705174008789*c_0110\ _6^8 + 175398628231897774347260027453216/11810939054949570517400878\ 9*c_0110_6^7 + 8855966060661241318004363317865/11810939054949570517\ 4008789*c_0110_6^6 - 52631713011707089810886621837289/1181093905494\ 95705174008789*c_0110_6^5 - 66905469981364874680114971401/288071684\ 2670626955463629*c_0110_6^4 + 16855820565326173047997904726609/2362\ 18781098991410348017578*c_0110_6^3 + 707496602058422567836285168544/118109390549495705174008789*c_0110_6\ ^2 - 533997834626212287056147122024/118109390549495705174008789*c_0\ 110_6 - 121418753323655981296919983817/236218781098991410348017578, c_0011_0 - 1, c_0011_2 - 205734689388118931590471/411530977524375279351947*c_0110_6^2\ 3 - 854685661201252170030148/411530977524375279351947*c_0110_6^22 + 6366444749727564657816017/411530977524375279351947*c_0110_6^21 + 18260040474827197104110522/411530977524375279351947*c_0110_6^20 - 82683884613483421890794186/411530977524375279351947*c_0110_6^19 - 111259094134427782297352444/411530977524375279351947*c_0110_6^18 + 471331333735074898180544619/411530977524375279351947*c_0110_6^17 + 327743799328416776254517424/411530977524375279351947*c_0110_6^16 - 1470651098070559175982084006/411530977524375279351947*c_0110_6^15 - 527969983352175206459810696/411530977524375279351947*c_0110_6^14 + 2833646936875535947270381802/411530977524375279351947*c_0110_6^13 + 351524698549009140222340641/411530977524375279351947*c_0110_6^12 - 3473548034442746380439148276/411530977524375279351947*c_0110_6^11 + 212289431216567273517736503/411530977524375279351947*c_0110_6^10 + 2665590256322030619429076930/411530977524375279351947*c_0110_6^9 - 556125045519134460040454665/411530977524375279351947*c_0110_6^8 - 1213866923880131851475871198/411530977524375279351947*c_0110_6^7 + 386756644571922531926441863/411530977524375279351947*c_0110_6^6 + 296373604631683981137830793/411530977524375279351947*c_0110_6^5 - 111193647562569330625393042/411530977524375279351947*c_0110_6^4 - 33239860982879527536365841/411530977524375279351947*c_0110_6^3 + 10404085913594461980929664/411530977524375279351947*c_0110_6^2 + 1865572579458887768020005/411530977524375279351947*c_0110_6 - 163482373505696859865599/411530977524375279351947, c_0101_0 + 826151080235561894420625/411530977524375279351947*c_0110_6^2\ 3 + 3245632978640275085158807/411530977524375279351947*c_0110_6^22 - 26572794649384219645085940/411530977524375279351947*c_0110_6^21 - 68780060967489766709729819/411530977524375279351947*c_0110_6^20 + 354555718745752339014029996/411530977524375279351947*c_0110_6^19 + 399632050847025556220871229/411530977524375279351947*c_0110_6^18 - 2059971424870774046349532281/411530977524375279351947*c_0110_6^17 - 1099354459001787975826736130/411530977524375279351947*c_0110_6^16 + 6546258075588452006892005647/411530977524375279351947*c_0110_6^15 + 1607491918229000160664791569/411530977524375279351947*c_0110_6^14 - 12837700035410588791624471581/411530977524375279351947*c_0110_6^13 - 743627012860160944822824115/411530977524375279351947*c_0110_6^12 + 15991993489692693279099685423/411530977524375279351947*c_0110_6^11 - 1287729768865236384812810614/411530977524375279351947*c_0110_6^10 - 12469086353085136674312651826/411530977524375279351947*c_0110_6^9 + 2287633733264650617982317944/411530977524375279351947*c_0110_6^8 + 5788746128913983314061187759/411530977524375279351947*c_0110_6^7 - 1467876157105504887619661535/411530977524375279351947*c_0110_6^6 - 1448288063541049918756916089/411530977524375279351947*c_0110_6^5 + 414927188995599448895639955/411530977524375279351947*c_0110_6^4 + 161493546452172507712421226/411530977524375279351947*c_0110_6^3 - 42599979080830446509395801/411530977524375279351947*c_0110_6^2 - 4978175844760593232797301/411530977524375279351947*c_0110_6 + 714765981311692682614726/411530977524375279351947, c_0101_1 - 284220673559017956582234/411530977524375279351947*c_0110_6^2\ 3 - 1155058812736342875208769/411530977524375279351947*c_0110_6^22 + 8996337404472640360981804/411530977524375279351947*c_0110_6^21 + 24942850813263418419487685/411530977524375279351947*c_0110_6^20 - 118847965216489068236683622/411530977524375279351947*c_0110_6^19 - 155027708842231223901478919/411530977524375279351947*c_0110_6^18 + 690038215228863675836956788/411530977524375279351947*c_0110_6^17 + 483465195232855395537354602/411530977524375279351947*c_0110_6^16 - 2196453250822349243036527020/411530977524375279351947*c_0110_6^15 - 901953622102412662544243041/411530977524375279351947*c_0110_6^14 + 4315111039517664698481598816/411530977524375279351947*c_0110_6^13 + 978491480893456089718971543/411530977524375279351947*c_0110_6^12 - 5391307101962633309620416173/411530977524375279351947*c_0110_6^11 - 528759643783156039960259328/411530977524375279351947*c_0110_6^10 + 4225212459556430000230935032/411530977524375279351947*c_0110_6^9 + 66249972304255375510980348/411530977524375279351947*c_0110_6^8 - 1975566818179648141304782799/411530977524375279351947*c_0110_6^7 + 26133057391288813316322427/411530977524375279351947*c_0110_6^6 + 495250196186981178982900692/411530977524375279351947*c_0110_6^5 + 17534763700911809454236406/411530977524375279351947*c_0110_6^4 - 52950559839696812172760298/411530977524375279351947*c_0110_6^3 - 11827436322780404697871162/411530977524375279351947*c_0110_6^2 + 1509521361090588584762389/411530977524375279351947*c_0110_6 + 880350092319595502190702/411530977524375279351947, c_0101_2 + 113901114798960358552158/411530977524375279351947*c_0110_6^2\ 3 + 321660889877903502752353/411530977524375279351947*c_0110_6^22 - 4189733387236451163307703/411530977524375279351947*c_0110_6^21 - 5614797499175362074079575/411530977524375279351947*c_0110_6^20 + 60193096424884717708538901/411530977524375279351947*c_0110_6^19 + 5578179675518858257715578/411530977524375279351947*c_0110_6^18 - 354660276195201923784933736/411530977524375279351947*c_0110_6^17 + 121787305179468124871558142/411530977524375279351947*c_0110_6^16 + 1129888848488450964400970118/411530977524375279351947*c_0110_6^15 - 589320220022769700371637321/411530977524375279351947*c_0110_6^14 - 2223214984071754830737791867/411530977524375279351947*c_0110_6^13 + 1346103086021348410057040054/411530977524375279351947*c_0110_6^12 + 2760550904229868396411518673/411530977524375279351947*c_0110_6^11 - 1751205243525132104179000403/411530977524375279351947*c_0110_6^10 - 2125457819480831830307240942/411530977524375279351947*c_0110_6^9 + 1306151903038089455785574429/411530977524375279351947*c_0110_6^8 + 972166737603904673312515517/411530977524375279351947*c_0110_6^7 - 517259117852865290883463468/411530977524375279351947*c_0110_6^6 - 248488681530418961066304447/411530977524375279351947*c_0110_6^5 + 86886073315233908872125553/411530977524375279351947*c_0110_6^4 + 33188745012639191495868264/411530977524375279351947*c_0110_6^3 - 1904608288518243655466482/411530977524375279351947*c_0110_6^2 - 1783579135279422571845215/411530977524375279351947*c_0110_6 - 279286168866531972577486/411530977524375279351947, c_0101_5 - 31746903648776443668264/411530977524375279351947*c_0110_6^23 - 217065310692241153079055/411530977524375279351947*c_0110_6^22 + 566857187448968987330016/411530977524375279351947*c_0110_6^21 + 5164827755243361898336931/411530977524375279351947*c_0110_6^20 - 3454116895053462143945640/411530977524375279351947*c_0110_6^19 - 45062736629103620111537591/411530977524375279351947*c_0110_6^18 + 5563275746622529383839838/411530977524375279351947*c_0110_6^17 + 202383396033623975711626166/411530977524375279351947*c_0110_6^16 + 22987514829207292339470642/411530977524375279351947*c_0110_6^15 - 538550356885121460429028359/411530977524375279351947*c_0110_6^14 - 120019209528559450983018891/411530977524375279351947*c_0110_6^13 + 908189380145410624574703082/411530977524375279351947*c_0110_6^12 + 228748206367616788044974183/411530977524375279351947*c_0110_6^11 - 994635602581993292496992631/411530977524375279351947*c_0110_6^10 - 220160297748336244753215522/411530977524375279351947*c_0110_6^9 + 699877156808150450178690044/411530977524375279351947*c_0110_6^8 + 102431303837542168468410941/411530977524375279351947*c_0110_6^7 - 299845525215084682611354165/411530977524375279351947*c_0110_6^6 - 12852466035048481325147904/411530977524375279351947*c_0110_6^5 + 69421749021791819327279188/411530977524375279351947*c_0110_6^4 - 4203077032961982161993777/411530977524375279351947*c_0110_6^3 - 6158018707929613147837359/411530977524375279351947*c_0110_6^2 + 659456384046778866496285/411530977524375279351947*c_0110_6 - 205796288136256347761476/411530977524375279351947, c_0110_6^24 + 4*c_0110_6^23 - 32*c_0110_6^22 - 86*c_0110_6^21 + 427*c_0110_6^20 + 524*c_0110_6^19 - 2510*c_0110_6^18 - 1566*c_0110_6^17 + 8132*c_0110_6^16 + 2678*c_0110_6^15 - 16391*c_0110_6^14 - 2292*c_0110_6^13 + 21298*c_0110_6^12 + 80*c_0110_6^11 - 17791*c_0110_6^10 + 1633*c_0110_6^9 + 9302*c_0110_6^8 - 1382*c_0110_6^7 - 2898*c_0110_6^6 + 478*c_0110_6^5 + 499*c_0110_6^4 - 71*c_0110_6^3 - 41*c_0110_6^2 + 4*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB