Magma V2.19-8 Tue Aug 20 2013 16:18:14 on localhost [Seed = 4290667206] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2456 geometric_solution 5.79816761 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 2310 0132 3201 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 0 1 0 -1 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 0.445765391331 0.977976285596 0 3 4 4 0132 0132 2031 0132 0 0 0 0 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 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692763645190 0.560188924243 3 4 3 0 2103 2103 1302 0132 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 0 0 0 0 0 0.227269051287 0.639029872501 2 1 2 5 2031 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649363361476 0.397341447554 5 2 1 1 1302 2103 0132 1302 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 0.407851913459 0.235254726502 6 4 3 6 0132 2031 0132 1023 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726512991168 0.343034566162 5 6 6 5 0132 3201 2310 1023 0 0 0 0 0 0 1 -1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.078921407684 0.458982552803 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : 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' : 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_0011_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_0011_4, c_0011_5, c_0101_1, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 283009902782276781530103334691/5909203089106857968324247199*c_0110_\ 4^16 + 9987518657409261892898151368267/2954601544553428984162123599\ 5*c_0110_4^15 + 13378576912483758328652027266106/295460154455342898\ 41621235995*c_0110_4^14 - 5917739625196829911023427722598/590920308\ 9106857968324247199*c_0110_4^13 - 47936045636317246851033609320406/\ 29546015445534289841621235995*c_0110_4^12 + 60107523176954013745370334873254/29546015445534289841621235995*c_01\ 10_4^11 + 45863626594424495823297684749288/295460154455342898416212\ 35995*c_0110_4^10 - 55447161725433644997482103146232/29546015445534\ 289841621235995*c_0110_4^9 + 5364201569124808427993230165714/295460\ 15445534289841621235995*c_0110_4^8 - 41877584821708747884571451597274/29546015445534289841621235995*c_01\ 10_4^7 + 108238454172395699888969393676086/295460154455342898416212\ 35995*c_0110_4^6 + 51940788443747268430974864006634/295460154455342\ 89841621235995*c_0110_4^5 - 228495395988520887476121010943258/29546\ 015445534289841621235995*c_0110_4^4 + 92732238480424605960191309247799/29546015445534289841621235995*c_01\ 10_4^3 + 27989600316710577296309401384401/2954601544553428984162123\ 5995*c_0110_4^2 - 30857866740325843112573359951826/2954601544553428\ 9841621235995*c_0110_4 + 12952767608520641586491959010994/295460154\ 45534289841621235995, c_0011_0 - 1, c_0011_2 - 35237356182277227089167190/11986213162488555716682043*c_0110\ _4^16 - 250141320787990952426115701/11986213162488555716682043*c_01\ 10_4^15 - 343660261609999924053248451/11986213162488555716682043*c_\ 0110_4^14 + 720267978165210954998780843/11986213162488555716682043*\ c_0110_4^13 + 1218474209263662472017096677/119862131624885557166820\ 43*c_0110_4^12 - 1441313248365081107313184028/119862131624885557166\ 82043*c_0110_4^11 - 1183805951478437934202736369/119862131624885557\ 16682043*c_0110_4^10 + 1323838971020145697851995594/119862131624885\ 55716682043*c_0110_4^9 - 100763066254782429860074868/11986213162488\ 555716682043*c_0110_4^8 + 1047844998029451570692911666/119862131624\ 88555716682043*c_0110_4^7 - 2649443323395082384974147483/1198621316\ 2488555716682043*c_0110_4^6 - 1387884776090538394655863958/11986213\ 162488555716682043*c_0110_4^5 + 5614538941010128892643550159/119862\ 13162488555716682043*c_0110_4^4 - 2114889492804688300921047049/1198\ 6213162488555716682043*c_0110_4^3 - 725894470322002634000260206/11986213162488555716682043*c_0110_4^2 + 737545853983792389074269899/11986213162488555716682043*c_0110_4 - 300644044878620136878615444/11986213162488555716682043, c_0011_4 - 3501628660117813148496895/11986213162488555716682043*c_0110_\ 4^16 - 25364328597285656537381478/11986213162488555716682043*c_0110\ _4^15 - 37861295238826049927945701/11986213162488555716682043*c_011\ 0_4^14 + 65539025775165311251477168/11986213162488555716682043*c_01\ 10_4^13 + 128255895175273278645588154/11986213162488555716682043*c_\ 0110_4^12 - 126300853678303459596790754/11986213162488555716682043*\ c_0110_4^11 - 129054918795405546366494912/1198621316248855571668204\ 3*c_0110_4^10 + 119853009421401262012859014/11986213162488555716682\ 043*c_0110_4^9 - 1564295092879054826636319/119862131624885557166820\ 43*c_0110_4^8 + 101564033229396835489455551/11986213162488555716682\ 043*c_0110_4^7 - 247520190909430281209326105/1198621316248855571668\ 2043*c_0110_4^6 - 173461620272589232462718488/119862131624885557166\ 82043*c_0110_4^5 + 545256053083140567115514428/11986213162488555716\ 682043*c_0110_4^4 - 154871377463441076744272681/1198621316248855571\ 6682043*c_0110_4^3 - 84675322515742575055769638/1198621316248855571\ 6682043*c_0110_4^2 + 84781683275182831819423121/1198621316248855571\ 6682043*c_0110_4 - 30064572302373599247063255/119862131624885557166\ 82043, c_0011_5 - 45858900563318919283283215/11986213162488555716682043*c_0110\ _4^16 - 324807288447093777969448426/11986213162488555716682043*c_01\ 10_4^15 - 441804853892041754961844957/11986213162488555716682043*c_\ 0110_4^14 + 946349688180139752091976199/11986213162488555716682043*\ c_0110_4^13 + 1573727301919661986608002030/119862131624885557166820\ 43*c_0110_4^12 - 1907136068434220744815644517/119862131624885557166\ 82043*c_0110_4^11 - 1526199483099579280713103590/119862131624885557\ 16682043*c_0110_4^10 + 1756180171210663570388201096/119862131624885\ 55716682043*c_0110_4^9 - 132170617556064669946162712/11986213162488\ 555716682043*c_0110_4^8 + 1360198693800773420004678526/119862131624\ 88555716682043*c_0110_4^7 - 3482041758735826619181031649/1198621316\ 2488555716682043*c_0110_4^6 - 1763325222037287925875863168/11986213\ 162488555716682043*c_0110_4^5 + 7346601697495767842758578032/119862\ 13162488555716682043*c_0110_4^4 - 2830508726933416602427406511/1198\ 6213162488555716682043*c_0110_4^3 - 942751043546257430355836500/11986213162488555716682043*c_0110_4^2 + 953494501611847556718918231/11986213162488555716682043*c_0110_4 - 383220468528975132804783752/11986213162488555716682043, c_0101_1 + 19647321457230027456094590/11986213162488555716682043*c_0110\ _4^16 + 138707643662228528487608421/11986213162488555716682043*c_01\ 10_4^15 + 185690949433902655826608175/11986213162488555716682043*c_\ 0110_4^14 - 412708619513968292238943180/11986213162488555716682043*\ c_0110_4^13 - 669188220159233847223580474/1198621316248855571668204\ 3*c_0110_4^12 + 840416176003326796971592902/11986213162488555716682\ 043*c_0110_4^11 + 649053696450737334326629781/119862131624885557166\ 82043*c_0110_4^10 - 784542549608228523390215410/1198621316248855571\ 6682043*c_0110_4^9 + 60409836858657787400936503/1198621316248855571\ 6682043*c_0110_4^8 - 566539014525146162255580874/119862131624885557\ 16682043*c_0110_4^7 + 1502818005372100311340299260/1198621316248855\ 5716682043*c_0110_4^6 + 734489364989069577345300670/119862131624885\ 55716682043*c_0110_4^5 - 3199727756797491822628201338/1198621316248\ 8555716682043*c_0110_4^4 + 1265533523327516429592514462/11986213162\ 488555716682043*c_0110_4^3 + 452317068590113415482901585/1198621316\ 2488555716682043*c_0110_4^2 - 450473667813992807701699169/119862131\ 62488555716682043*c_0110_4 + 170459098810582590273128377/1198621316\ 2488555716682043, c_0101_6 + 53071926282154029567071000/11986213162488555716682043*c_0110\ _4^16 + 375874935087923860991493320/11986213162488555716682043*c_01\ 10_4^15 + 511491848541479906350083428/11986213162488555716682043*c_\ 0110_4^14 - 1092457494784993513155878053/11986213162488555716682043\ *c_0110_4^13 - 1813574598855406271972872742/11986213162488555716682\ 043*c_0110_4^12 + 2208159202801844284106860426/11986213162488555716\ 682043*c_0110_4^11 + 1748449025367119119682263941/11986213162488555\ 716682043*c_0110_4^10 - 2037303420526000358331255129/11986213162488\ 555716682043*c_0110_4^9 + 175015960702838608241665423/1198621316248\ 8555716682043*c_0110_4^8 - 1566985772874470770781324850/11986213162\ 488555716682043*c_0110_4^7 + 4028962556841515550259684598/119862131\ 62488555716682043*c_0110_4^6 + 2029471592747938682020369395/1198621\ 3162488555716682043*c_0110_4^5 - 8494354924830364513696858027/11986\ 213162488555716682043*c_0110_4^4 + 3324624206551227551380354721/11986213162488555716682043*c_0110_4^3 + 1066259339339112750209409027/11986213162488555716682043*c_0110_4^2 - 1132813461612122408243727468/11986213162488555716682043*c_0110_4 + 452779177173445274685789727/11986213162488555716682043, c_0110_4^17 + 32/5*c_0110_4^16 + 24/5*c_0110_4^15 - 136/5*c_0110_4^14 - 101/5*c_0110_4^13 + 65*c_0110_4^12 + 24/5*c_0110_4^11 - 61*c_0110_4^10 + 146/5*c_0110_4^9 - 158/5*c_0110_4^8 + 96*c_0110_4^7 - 67/5*c_0110_4^6 - 932/5*c_0110_4^5 + 857/5*c_0110_4^4 - 108/5*c_0110_4^3 - 177/5*c_0110_4^2 + 23*c_0110_4 - 29/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB