Magma V2.19-8 Tue Aug 20 2013 16:19:17 on localhost [Seed = 4240269810] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3403 geometric_solution 6.57029761 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 -1 1 -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 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 0.487144355572 0.830977672588 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 -1 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 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 0.571162462364 0.723363670801 3 0 4 5 3201 0132 3201 2310 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 1 -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 0.571162462364 0.723363670801 3 1 3 2 2031 0132 1302 2310 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 0 0 0 0 0 0 0 0.504793451541 1.108644273599 2 6 1 6 2310 0132 0132 2310 0 0 0 0 0 0 -1 1 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 0 -1 1 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 1.232605481729 0.841454609948 2 5 5 1 3201 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 0.828967744136 0.810147921321 4 4 6 6 3201 0132 1230 3012 0 0 0 0 0 0 0 0 1 0 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411248901876 0.366227629965 ==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_0110_6'], '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' : 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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), '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_0110_6'], 'c_1010_6' : negation(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' : 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_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 38 Groebner basis: [ t - 2075639094439424352176307959824792871356402995389213995000046/10401\ 25749860989633383411520954741073341301150349348853789*c_0110_6^37 + 3676070649575834512023377881919176642088580204792306979455896/10401\ 25749860989633383411520954741073341301150349348853789*c_0110_6^36 + 807771571699945036715827190087999364445671608170269681031100/241889\ 70926999758915893291184993978449797701170915089623*c_0110_6^35 - 76761769376961702653357363025818430789885293107109736662135839/1040\ 125749860989633383411520954741073341301150349348853789*c_0110_6^34 - 359573396824534754282029028506161457607142837769791363190536884/104\ 0125749860989633383411520954741073341301150349348853789*c_0110_6^33 + 928970701103572350389086687567512679816151323306242913267014828/1\ 040125749860989633383411520954741073341301150349348853789*c_0110_6^\ 32 + 27194706676223680590649885824986589122789688523055847385796894\ 97/1040125749860989633383411520954741073341301150349348853789*c_011\ 0_6^31 - 7051264279173767918929879405568063318850629015505143253174\ 938400/1040125749860989633383411520954741073341301150349348853789*c\ _0110_6^30 - 156528310633274149493141643200405308544849553901950350\ 91958354672/1040125749860989633383411520954741073341301150349348853\ 789*c_0110_6^29 + 3659333062608336934670328295328910535262909902877\ 7238621555289731/10401257498609896333834115209547410733413011503493\ 48853789*c_0110_6^28 + 67673802225132860592533231523292879264814828\ 172075000354289395764/104012574986098963338341152095474107334130115\ 0349348853789*c_0110_6^27 - 136032950256833858005374381534404110153\ 786021256253563564074603262/104012574986098963338341152095474107334\ 1301150349348853789*c_0110_6^26 - 213781098059513874399846182769204\ 489553680477209225317123870715169/104012574986098963338341152095474\ 1073341301150349348853789*c_0110_6^25 + 8431513140947804139444111720541070986325155966383216185383998611/24\ 188970926999758915893291184993978449797701170915089623*c_0110_6^24 + 486327983191082130506128495639143792661784662754575856715755163438/\ 1040125749860989633383411520954741073341301150349348853789*c_0110_6\ ^23 - 9771972763938163014656731574185449943660523895786913699219878\ 5186/148589392837284233340487360136391581905900164335621264827*c_01\ 10_6^22 - 794267124620258039233502736310656262585234551912331695225\ 228503142/104012574986098963338341152095474107334130115034934885378\ 9*c_0110_6^21 + 901686515973570332770131835228209592248342604491405\ 965036595038835/104012574986098963338341152095474107334130115034934\ 8853789*c_0110_6^20 + 928758230564657809064830448046754334804863798\ 354254145273445784082/104012574986098963338341152095474107334130115\ 0349348853789*c_0110_6^19 - 814001386092742147027735875442331637315\ 035183038226382462585375015/104012574986098963338341152095474107334\ 1301150349348853789*c_0110_6^18 - 769591040790898931083678162263396\ 951644026549556348752037386894098/104012574986098963338341152095474\ 1073341301150349348853789*c_0110_6^17 + 481747982668497731199226015896966073906900190090614522555137237520/\ 1040125749860989633383411520954741073341301150349348853789*c_0110_6\ ^16 + 6312857168705622437829320695742540610513338205532035974734874\ 3114/148589392837284233340487360136391581905900164335621264827*c_01\ 10_6^15 - 167369900064985550378436214181962794966997602464437869202\ 385833588/104012574986098963338341152095474107334130115034934885378\ 9*c_0110_6^14 - 168898574874150432277231527733294847248206285079770\ 383289064940460/104012574986098963338341152095474107334130115034934\ 8853789*c_0110_6^13 + 215871921371067646569886933138055922797642773\ 37320334774897587659/1040125749860989633383411520954741073341301150\ 349348853789*c_0110_6^12 + 3956986012907829879460960979587336105589\ 5826410704777131283698209/10401257498609896333834115209547410733413\ 01150349348853789*c_0110_6^11 + 60131011156797714818931710044922823\ 50307107052651104038430164377/1040125749860989633383411520954741073\ 341301150349348853789*c_0110_6^10 - 4303646926137257806145843187857271390966916339930278471334078612/10\ 40125749860989633383411520954741073341301150349348853789*c_0110_6^9 - 3235364257514902176998619901007007563005068253080682188540723462/\ 1040125749860989633383411520954741073341301150349348853789*c_0110_6\ ^8 - 24219659204827707675606432195653418020772922732986282487026413\ 8/1040125749860989633383411520954741073341301150349348853789*c_0110\ _6^7 + 813756532839530809862695648524284950775117247449968169603008\ 120/1040125749860989633383411520954741073341301150349348853789*c_01\ 10_6^6 + 1416281310131273579011213078009332960428527948165214643016\ 03632/1040125749860989633383411520954741073341301150349348853789*c_\ 0110_6^5 - 14762063760492083867064713319766335745408110838593366060\ 3976131/1040125749860989633383411520954741073341301150349348853789*\ c_0110_6^4 - 250963840518995637897732594197495774548606527789549582\ 97224545/1040125749860989633383411520954741073341301150349348853789\ *c_0110_6^3 + 22968107407184722867803181020754360437897968368314489\ 413200730/104012574986098963338341152095474107334130115034934885378\ 9*c_0110_6^2 + 1095484533507776218740509214262180154745161819973785\ 569206161/104012574986098963338341152095474107334130115034934885378\ 9*c_0110_6 - 314640125562476187827235716329725601416201385202746336\ 5517649/1040125749860989633383411520954741073341301150349348853789, c_0011_0 - 1, c_0011_4 + 2323329732297939362975539720155883364848970239467795855075/1\ 040125749860989633383411520954741073341301150349348853789*c_0110_6^\ 37 - 5013481981793137075658540469391775107823892943824517990745/104\ 0125749860989633383411520954741073341301150349348853789*c_0110_6^36 - 38188956390251855401523231210728339008292822377444194359230/10401\ 25749860989633383411520954741073341301150349348853789*c_0110_6^35 + 101425880928083300872335367883610796531638192259503609663283/104012\ 5749860989633383411520954741073341301150349348853789*c_0110_6^34 + 385302910866556443400707985958551957508380021055698775033354/104012\ 5749860989633383411520954741073341301150349348853789*c_0110_6^33 - 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51349462949587731747628509425086979264367464457155306692424478\ 8/1040125749860989633383411520954741073341301150349348853789*c_0110\ _6^24 - 50981159468143352334901097498398773806369762127887400630939\ 9479/1040125749860989633383411520954741073341301150349348853789*c_0\ 110_6^23 + 14252019147524904036331003767346349334113006140624187621\ 4159363/148589392837284233340487360136391581905900164335621264827*c\ _0110_6^22 + 862138836612221657651919767623119254724367019711673454\ 124572701/104012574986098963338341152095474107334130115034934885378\ 9*c_0110_6^21 - 135396976384169701715026966480171939388434477620686\ 9495231390628/10401257498609896333834115209547410733413011503493488\ 53789*c_0110_6^20 - 10592790135703920847770193848328365807900069492\ 97243161228514224/1040125749860989633383411520954741073341301150349\ 348853789*c_0110_6^19 + 1256922161632847700915338605405105363393136\ 034448941190167159949/104012574986098963338341152095474107334130115\ 0349348853789*c_0110_6^18 + 217079776615391798644455871403101052862\ 25991389363760145865929/2418897092699975891589329118499397844979770\ 1170915089623*c_0110_6^17 - 763880227154692931209172105829678495973\ 721127958071620660310419/104012574986098963338341152095474107334130\ 1150349348853789*c_0110_6^16 - 820554840867773017829530721543249406\ 63760024524126533696094409/1485893928372842333404873601363915819059\ 00164335621264827*c_0110_6^15 + 27306951051032587142259108027054257\ 8442075691034561561870509331/10401257498609896333834115209547410733\ 41301150349348853789*c_0110_6^14 + 235700261799358786040038758343564439761376071932478561404992648/104\ 0125749860989633383411520954741073341301150349348853789*c_0110_6^13 - 37785798769563666814795336306371671123034628397045220319247540/10\ 40125749860989633383411520954741073341301150349348853789*c_0110_6^1\ 2 - 59044065833965424053509627282196828110637315196638386751065916/\ 1040125749860989633383411520954741073341301150349348853789*c_0110_6\ ^11 - 8760863309741316205950326875179026720651470817004659711811455\ /1040125749860989633383411520954741073341301150349348853789*c_0110_\ 6^10 + 702925927777311486326647478024868138524348797043142668319120\ 6/1040125749860989633383411520954741073341301150349348853789*c_0110\ _6^9 + 492053028819148393025152685948107416108744714566713626723364\ 0/1040125749860989633383411520954741073341301150349348853789*c_0110\ _6^8 + 184584524842892173984917563560172963900794063136799265065546\ /1040125749860989633383411520954741073341301150349348853789*c_0110_\ 6^7 - 1196487973163130218485793738864241401872338259885763449577947\ /1040125749860989633383411520954741073341301150349348853789*c_0110_\ 6^6 - 4181338075710617735484984027025370137166303893960236010098/24\ 188970926999758915893291184993978449797701170915089623*c_0110_6^5 + 209136696473872857351572968431351887427104048869229702009723/104012\ 5749860989633383411520954741073341301150349348853789*c_0110_6^4 + 34792315731187815702338318944323225821349355157464191616757/1040125\ 749860989633383411520954741073341301150349348853789*c_0110_6^3 - 31529281402351072609961373948389966247254815689229167382319/1040125\ 749860989633383411520954741073341301150349348853789*c_0110_6^2 - 1985465794994628111651537182940137825820812764457346329300/10401257\ 49860989633383411520954741073341301150349348853789*c_0110_6 + 4402010850015539985678379999638201079864149089528503788133/10401257\ 49860989633383411520954741073341301150349348853789, c_0101_0 - 1244674830028328774515020685454346124332762028419782203700/1\ 040125749860989633383411520954741073341301150349348853789*c_0110_6^\ 37 + 366009270111345609594496623592232504299303035240735054138/1040\ 125749860989633383411520954741073341301150349348853789*c_0110_6^36 + 22439594277364672831222193688438882249676829749696065511839/1040125\ 749860989633383411520954741073341301150349348853789*c_0110_6^35 - 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