Magma V2.19-8 Tue Aug 20 2013 16:16:26 on localhost [Seed = 1494795702] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0707 geometric_solution 4.66145555 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 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 1 1 -2 0 0 1 -1 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.260782869557 0.243121068855 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 -1 0 1 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 -2 0 2 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 -0.807136915666 0.932787859009 1 1 3 4 2310 0132 0132 0132 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 2 -1 -1 -1 0 1 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 -0.010708001091 0.288839193101 4 4 5 2 1023 3012 0132 0132 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 0 0 0 0 0 -1 1 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 0.552885398502 1.455625026293 3 3 2 5 1230 1023 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 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 0.552885398502 1.455625026293 6 6 4 3 0132 3201 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 -1 0 1 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 -0.907155767974 1.101520787284 5 6 5 6 0132 1302 2310 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.060857791996 1.011735190988 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0101_2']), '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_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 8183888624264476899378714484175/40125753648495896432231226096*c_110\ 0_2^14 - 1995528792562522927845324910255/14861390240183665345270824\ 48*c_1100_2^13 - 102938450372333418960855393999137/4012575364849589\ 6432231226096*c_1100_2^12 + 22083802835188919008885105001233/133752\ 51216165298810743742032*c_1100_2^11 + 290239013002334204427195363165233/20062876824247948216115613048*c_1\ 100_2^10 + 474430755174233273841227788103201/4012575364849589643223\ 1226096*c_1100_2^9 - 170210765097328600635300713514349/334381280404\ 1324702685935508*c_1100_2^8 - 1564101461241408540936668719400245/13\ 375251216165298810743742032*c_1100_2^7 - 1240282289039453967439826204444501/40125753648495896432231226096*c_\ 1100_2^6 + 737768723881388465058971374579963/4458417072055099603581\ 247344*c_1100_2^5 + 9373341640757910697644236246324677/401257536484\ 95896432231226096*c_1100_2^4 + 5241633396877042041405680495420837/4\ 0125753648495896432231226096*c_1100_2^3 + 161506437000404442968611102378873/6687625608082649405371871016*c_11\ 00_2^2 - 250773436539855406529429055207913/401257536484958964322312\ 26096*c_1100_2 - 8686763568905424517169177129101/334381280404132470\ 2685935508, c_0011_0 - 1, c_0011_3 + 18678564046209298267660376759/3343812804041324702685935508*c\ _1100_2^14 + 4374217002622492890022624339/1238449186681972112105902\ 04*c_1100_2^13 + 207329366501594049316801949465/3343812804041324702\ 685935508*c_1100_2^12 - 62469607884171956261690086033/1114604268013\ 774900895311836*c_1100_2^11 - 626601039292868117895207372983/167190\ 6402020662351342967754*c_1100_2^10 - 803764797656201316121010784233/3343812804041324702685935508*c_1100_\ 2^9 + 390978687219013608664016048377/278651067003443725223827959*c_\ 1100_2^8 + 3158224213426894489324400442121/111460426801377490089531\ 1836*c_1100_2^7 + 1164979444859824335249962430965/33438128040413247\ 02685935508*c_1100_2^6 - 1600937309329429247373043019623/3715347560\ 04591633631770612*c_1100_2^5 - 18166091957376492556734507487429/334\ 3812804041324702685935508*c_1100_2^4 - 9301851401487586860182938244633/3343812804041324702685935508*c_1100\ _2^3 - 238959409853310710237716054957/557302134006887450447655918*c\ _1100_2^2 + 497017548010849199905146569845/334381280404132470268593\ 5508*c_1100_2 + 13984791135700695269172052837/278651067003443725223\ 827959, c_0011_5 - 10595243359862466131349294443/1671906402020662351342967754*c\ _1100_2^14 - 2554518096007873342437069735/6192245933409860560529510\ 2*c_1100_2^13 - 128998774383574598583391912841/16719064020206623513\ 42967754*c_1100_2^12 + 30269809066109870934845220199/55730213400688\ 7450447655918*c_1100_2^11 + 369780833051606879470024001567/83595320\ 1010331175671483877*c_1100_2^10 + 572338043407595962025939897135/16\ 71906402020662351342967754*c_1100_2^9 - 440423661035214170971154518079/278651067003443725223827959*c_1100_2\ ^8 - 1960790869575769512219131354041/557302134006887450447655918*c_\ 1100_2^7 - 1374915945110818881013332442997/167190640202066235134296\ 7754*c_1100_2^6 + 939705409947563947538291412229/185767378002295816\ 815885306*c_1100_2^5 + 11664208105183707834895560086863/16719064020\ 20662351342967754*c_1100_2^4 + 6422322863059585411821909078281/1671\ 906402020662351342967754*c_1100_2^3 + 192020977384850593294432467241/278651067003443725223827959*c_1100_2\ ^2 - 313825139694892018437345968887/1671906402020662351342967754*c_\ 1100_2 - 20884621188304537802255578133/278651067003443725223827959, c_0101_0 + 634535404289546417320530287/557302134006887450447655918*c_11\ 00_2^14 + 503392295486476171960839875/61922459334098605605295102*c_\ 1100_2^13 + 10017055749220443749533206359/5573021340068874504476559\ 18*c_1100_2^12 - 789790229148734293072426231/1857673780022958168158\ 85306*c_1100_2^11 - 25085989354845671447095669862/27865106700344372\ 5223827959*c_1100_2^10 - 57624180766077115037835957701/557302134006\ 887450447655918*c_1100_2^9 + 25854530490129226331355348341/92883689\ 001147908407942653*c_1100_2^8 + 151651551571252163203523559811/1857\ 67378002295816815885306*c_1100_2^7 + 223646917716342951031438812341/557302134006887450447655918*c_1100_2\ ^6 - 63091572956031362848367119727/61922459334098605605295102*c_110\ 0_2^5 - 970579862501872053593761523317/557302134006887450447655918*\ c_1100_2^4 - 607545724843421868664869167339/55730213400688745044765\ 5918*c_1100_2^3 - 22249196485143199449885033148/9288368900114790840\ 7942653*c_1100_2^2 + 24668779048925766465365535589/5573021340068874\ 50447655918*c_1100_2 + 2233572061014084205644589001/928836890011479\ 08407942653, c_0101_1 - 722226398282801801395/86179300867913954292*c_1100_2^14 - 176557445900272579167/3191825958070887196*c_1100_2^13 - 9157499291438000929681/86179300867913954292*c_1100_2^12 + 1913778432173036406581/28726433622637984764*c_1100_2^11 + 25706625495317718599851/43089650433956977146*c_1100_2^10 + 42644615660069043847165/86179300867913954292*c_1100_2^9 - 15007573047949871713355/7181608405659496191*c_1100_2^8 - 139154603831263869039569/28726433622637984764*c_1100_2^7 - 114340299199639096334761/86179300867913954292*c_1100_2^6 + 65353867480704817666211/9575477874212661588*c_1100_2^5 + 836675129547378147532013/86179300867913954292*c_1100_2^4 + 469612462567641709316509/86179300867913954292*c_1100_2^3 + 14483401257278924012267/14363216811318992382*c_1100_2^2 - 22666668083444838456425/86179300867913954292*c_1100_2 - 784693988591178784277/7181608405659496191, c_0101_2 - 28605855604739251253029392935/3343812804041324702685935508*c\ _1100_2^14 - 6854622266353135788764112215/1238449186681972112105902\ 04*c_1100_2^13 - 341263977809325317509491678845/3343812804041324702\ 685935508*c_1100_2^12 + 85368876419373644099027243233/1114604268013\ 774900895311836*c_1100_2^11 + 990492221039767558716984695327/167190\ 6402020662351342967754*c_1100_2^10 + 1470044664984930081596899275989/3343812804041324702685935508*c_1100\ _2^9 - 596796449679610859579491189213/278651067003443725223827959*c\ _1100_2^8 - 5190010921779446225449056266377/11146042680137749008953\ 11836*c_1100_2^7 - 3205253356111195684020302586389/3343812804041324\ 702685935508*c_1100_2^6 + 2522640029603842659379353622015/371534756\ 004591633631770612*c_1100_2^5 + 30573614478865066978366162425205/33\ 43812804041324702685935508*c_1100_2^4 + 16533060699118887076466549731949/3343812804041324702685935508*c_110\ 0_2^3 + 480123809283989295627467332879/557302134006887450447655918*\ c_1100_2^2 - 818794268170584462187255929841/33438128040413247026859\ 35508*c_1100_2 - 26454851668545392425041266515/27865106700344372522\ 3827959, c_1100_2^15 + 123/17*c_1100_2^14 + 287/17*c_1100_2^13 + 3/17*c_1100_2^12 - 1294/17*c_1100_2^11 - 1775/17*c_1100_2^10 + 3588/17*c_1100_2^9 + 12513/17*c_1100_2^8 + 8987/17*c_1100_2^7 - 12045/17*c_1100_2^6 - 28507/17*c_1100_2^5 - 23723/17*c_1100_2^4 - 9210/17*c_1100_2^3 - 809/17*c_1100_2^2 + 564/17*c_1100_2 + 144/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB