Magma V2.19-8 Tue Aug 20 2013 23:47:45 on localhost [Seed = 3886124424] Type ? for help. Type -D to quit. Loading file "L11n153__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n153 geometric_solution 10.99430948 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 1 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 0 0 0 0 0 0 0 0 0 -1 0 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 0.073000549461 0.735835927738 0 5 2 6 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.216761041744 0.935514229443 5 0 1 7 0132 0132 1023 0132 0 1 1 1 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 2 0 0 -2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303680049459 1.127320329953 8 9 10 0 0132 0132 0132 0132 0 0 1 0 0 -1 0 1 1 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 0 0 0 0 0 -1 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 0 -0.133509034334 1.345753489068 6 8 0 10 1230 1230 0132 0132 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 1 -1 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.732824150313 1.314221398578 2 1 7 11 0132 0132 1302 0132 1 1 1 1 0 0 -1 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 0 1 -1 -2 0 0 2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.161550985369 1.195353242205 10 4 1 8 1023 3012 0132 0213 1 0 0 1 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 0.534458561912 0.758508495727 5 11 2 8 2031 2310 0132 2031 0 1 1 1 0 1 -1 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 -1 1 0 -1 0 2 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693940723893 0.942255514861 3 7 4 6 0132 1302 3012 0213 1 0 0 1 0 0 0 0 -1 0 0 1 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 1 0 -1 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655688087284 1.167677863745 11 3 11 10 0321 0132 2310 2310 0 1 0 1 0 1 0 -1 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 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 0.302925348838 0.674740982152 9 6 4 3 3201 1023 0132 0132 0 0 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 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 0.323655683531 0.580432870404 9 9 5 7 0321 3201 0132 3201 1 1 0 1 0 1 -1 0 0 0 1 -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 -1 1 0 0 0 -2 2 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740632380328 0.716903159343 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0101_0'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_11' : negation(d['c_1001_0']), 'c_1010_10' : negation(d['c_0101_3']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_1']), 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1010_8']), 'c_1100_6' : d['c_1010_8'], 'c_1100_1' : d['c_1010_8'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1010_8']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : negation(d['c_0011_7']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_1010_8'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], '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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_3'], 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : negation(d['c_0011_7']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : negation(d['c_0101_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_1001_0, c_1010_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 1154873409527870347998828358806721/23039371406885024255102087907113\ 152*c_1100_0^13 - 14379061543361415050498219431508217/2303937140688\ 5024255102087907113152*c_1100_0^12 - 160917955313900697209772963162619/230393714068850242551020879071131\ 52*c_1100_0^11 - 169773665300504228183385894440730329/1151968570344\ 2512127551043953556576*c_1100_0^10 + 449578856279385303444872925071333583/115196857034425121275510439535\ 56576*c_1100_0^9 - 84359590067079412807301009276176745/886129669495\ 577855965464919504352*c_1100_0^8 + 3303963268904641652186325448798574221/23039371406885024255102087907\ 113152*c_1100_0^7 - 2678190086283247431308189336425817629/115196857\ 03442512127551043953556576*c_1100_0^6 + 2557073100798276382232670923124516729/11519685703442512127551043953\ 556576*c_1100_0^5 - 2211480545122013117545968858331156261/230393714\ 06885024255102087907113152*c_1100_0^4 - 146697780926795915309715486105278787/230393714068850242551020879071\ 13152*c_1100_0^3 - 1551438533735401897699158371627114881/2303937140\ 6885024255102087907113152*c_1100_0^2 + 757887776170083174189861593919643103/575984285172125606377552197677\ 8288*c_1100_0 - 41674789724453403401622459490969845/221532417373894\ 463991366229876088, c_0011_0 - 1, c_0011_10 - 32424694490530575214258261781/84703571348842000937875323187\ 916*c_1100_0^13 - 424535292559043967929716984361/847035713488420009\ 37875323187916*c_1100_0^12 - 271431431920811009741822107507/8470357\ 1348842000937875323187916*c_1100_0^11 - 4807351475772523092957187705383/42351785674421000468937661593958*c_\ 1100_0^10 + 9663609142213553810601257658045/42351785674421000468937\ 661593958*c_1100_0^9 - 23849363280091517967277663806373/42351785674\ 421000468937661593958*c_1100_0^8 + 63501336816622259682490218987613/84703571348842000937875323187916*c\ _1100_0^7 - 59914493065016287229610265227401/4235178567442100046893\ 7661593958*c_1100_0^6 + 45316961124834461003664760329657/4235178567\ 4421000468937661593958*c_1100_0^5 - 36368354341471411536989113734357/84703571348842000937875323187916*c\ _1100_0^4 + 38554012962379687024386724596233/8470357134884200093787\ 5323187916*c_1100_0^3 - 101312868806971702478071091855097/847035713\ 48842000937875323187916*c_1100_0^2 + 7113434100662706641163902986100/21175892837210500234468830796979*c_\ 1100_0 - 1168177201364278885965367686561/16289148336315769411129869\ 84383, c_0011_3 + 109649409453057574351412954757/33881428539536800375150129275\ 1664*c_1100_0^13 + 1468555252308480610767233344661/3388142853953680\ 03751501292751664*c_1100_0^12 + 1416174010787706051033508688695/338\ 814285395368003751501292751664*c_1100_0^11 + 16854050648837717538672987434789/169407142697684001875750646375832*\ c_1100_0^10 - 27244857346737780737263646773879/16940714269768400187\ 5750646375832*c_1100_0^9 + 81247016858600648116092196590209/1694071\ 42697684001875750646375832*c_1100_0^8 - 195374797336273881624880837870801/338814285395368003751501292751664\ *c_1100_0^7 + 214084815296449432376873165482565/1694071426976840018\ 75750646375832*c_1100_0^6 - 151451932218737314217121095871601/16940\ 7142697684001875750646375832*c_1100_0^5 + 257197411732190762997069631757209/338814285395368003751501292751664\ *c_1100_0^4 - 262155263114497365700078496825513/3388142853953680037\ 51501292751664*c_1100_0^3 + 387451223300464355871252930497045/33881\ 4285395368003751501292751664*c_1100_0^2 - 24718636179358954631169565306835/84703571348842000937875323187916*c\ _1100_0 + 1403261417404532460307120995604/1628914833631576941112986\ 984383, c_0011_4 + 45144162783066446888394634127/847035713488420009378753231879\ 16*c_1100_0^13 + 577593857212352251280791994387/8470357134884200093\ 7875323187916*c_1100_0^12 + 186611946022478239424524030981/84703571\ 348842000937875323187916*c_1100_0^11 + 6540331415530904938061955287427/42351785674421000468937661593958*c_\ 1100_0^10 - 1193601262465009613737353221809/32578296672631538822259\ 73968766*c_1100_0^9 + 34861708923416207878919640621183/423517856744\ 21000468937661593958*c_1100_0^8 - 99421771055924402793018401582595/\ 84703571348842000937875323187916*c_1100_0^7 + 81612504748772865204116530248169/42351785674421000468937661593958*c\ _1100_0^6 - 68268711532204711211852325478311/4235178567442100046893\ 7661593958*c_1100_0^5 + 6700261842929521785941833044539/84703571348\ 842000937875323187916*c_1100_0^4 + 2958552377375466907399665868689/84703571348842000937875323187916*c_\ 1100_0^3 + 75208815734401401208687579227339/84703571348842000937875\ 323187916*c_1100_0^2 - 8838258625499118778457065694000/211758928372\ 10500234468830796979*c_1100_0 + 2329851147650968851966909771667/211\ 75892837210500234468830796979, c_0011_7 + 73202808107216833606971755771/338814285395368003751501292751\ 664*c_1100_0^13 + 923023061089838753963113488939/338814285395368003\ 751501292751664*c_1100_0^12 + 130633024527474861382577937097/338814\ 285395368003751501292751664*c_1100_0^11 + 10613471966231950042115488064003/169407142697684001875750646375832*\ c_1100_0^10 - 26738319009960303298282944272177/16940714269768400187\ 5750646375832*c_1100_0^9 + 62283265052233311028671383129775/1694071\ 42697684001875750646375832*c_1100_0^8 - 165499204786343710407763953163599/338814285395368003751501292751664\ *c_1100_0^7 + 148539053697283913639172726970851/1694071426976840018\ 75750646375832*c_1100_0^6 - 8332647849312769181248408697171/1303131\ 8669052615528903895875064*c_1100_0^5 + 91592601949201442392694497207319/338814285395368003751501292751664*\ c_1100_0^4 + 47115053613531619149892647812585/338814285395368003751\ 501292751664*c_1100_0^3 + 179140508630965535557262816051627/3388142\ 85395368003751501292751664*c_1100_0^2 - 21283567159402021899785010079901/84703571348842000937875323187916*c\ _1100_0 + 748833580933032083938753407956/21175892837210500234468830\ 796979, c_0101_0 - 1, c_0101_1 - 11654731081188265629473059466/211758928372105002344688307969\ 79*c_1100_0^13 - 304824503045236231090991061719/4235178567442100046\ 8937661593958*c_1100_0^12 - 189094984024494384384443903053/42351785\ 674421000468937661593958*c_1100_0^11 - 6896412038301861109603099900633/42351785674421000468937661593958*c_\ 1100_0^10 + 6990589689854955023180842366160/21175892837210500234468\ 830796979*c_1100_0^9 - 16940649718402000684094786456975/21175892837\ 210500234468830796979*c_1100_0^8 + 22333740252126100214367408023448/21175892837210500234468830796979*c\ _1100_0^7 - 76702632538880620313245300040723/4235178567442100046893\ 7661593958*c_1100_0^6 + 25300617742194592962678370844635/2117589283\ 7210500234468830796979*c_1100_0^5 - 1828109701942822736595760532671/21175892837210500234468830796979*c_\ 1100_0^4 - 9364448019734339593005644344761/423517856744210004689376\ 61593958*c_1100_0^3 - 33137480009956523374942436828115/423517856744\ 21000468937661593958*c_1100_0^2 - 892874873755102098539210042475/42\ 351785674421000468937661593958*c_1100_0 - 2091541400078859035928918695236/1628914833631576941112986984383, c_0101_11 + 101561110122875773747228749455/3388142853953680037515012927\ 51664*c_1100_0^13 + 1375461434248045850197119487859/338814285395368\ 003751501292751664*c_1100_0^12 + 112366689197912016883995684589/260\ 62637338105231057807791750128*c_1100_0^11 + 15316799331820435688864228037285/169407142697684001875750646375832*\ c_1100_0^10 - 23656351773440372194966956152777/16940714269768400187\ 5750646375832*c_1100_0^9 + 61571456506952606518983401661599/1694071\ 42697684001875750646375832*c_1100_0^8 - 148241090405434687107718702863947/338814285395368003751501292751664\ *c_1100_0^7 + 132351658351423529817317627657021/1694071426976840018\ 75750646375832*c_1100_0^6 - 56292426109702984698649146421775/169407\ 142697684001875750646375832*c_1100_0^5 - 64458163211312462156258517175325/338814285395368003751501292751664*\ c_1100_0^4 - 43591403125906331806206445108503/338814285395368003751\ 501292751664*c_1100_0^3 + 86196753772537715925842888897371/33881428\ 5395368003751501292751664*c_1100_0^2 - 4149616837280771699945581616095/21175892837210500234468830796979*c_\ 1100_0 + 18942484023086100593590425952209/2117589283721050023446883\ 0796979, c_0101_3 + 44944010992729382389901486113/338814285395368003751501292751\ 664*c_1100_0^13 + 610688924064287004960256040621/338814285395368003\ 751501292751664*c_1100_0^12 + 633840308334178127857534853527/338814\ 285395368003751501292751664*c_1100_0^11 + 6568114891386524368325483365787/169407142697684001875750646375832*c\ _1100_0^10 - 9794061965923016174578493574271/1694071426976840018757\ 50646375832*c_1100_0^9 + 22162582605012449429151538192257/169407142\ 697684001875750646375832*c_1100_0^8 - 16447756586804516862317118039749/338814285395368003751501292751664*\ c_1100_0^7 + 27873474086281898787753986522147/169407142697684001875\ 750646375832*c_1100_0^6 + 34251672020039491038893046062567/16940714\ 2697684001875750646375832*c_1100_0^5 - 158794726207926881503870644948531/338814285395368003751501292751664\ *c_1100_0^4 + 174959014592331629207173821194855/3388142853953680037\ 51501292751664*c_1100_0^3 + 77117297614871895415022433299765/338814\ 285395368003751501292751664*c_1100_0^2 + 5365603352495591975062223233968/21175892837210500234468830796979*c_\ 1100_0 - 113163551270881404291310116621/162891483363157694111298698\ 4383, c_1001_0 - 18632943827865377343471825545/847035713488420009378753231879\ 16*c_1100_0^13 - 237075495380862517114381320993/8470357134884200093\ 7875323187916*c_1100_0^12 - 77773360041962535731021173807/847035713\ 48842000937875323187916*c_1100_0^11 - 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