Magma V2.19-8 Tue Aug 20 2013 23:47:43 on localhost [Seed = 2260790487] Type ? for help. Type -D to quit. Loading file "L11n128__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n128 geometric_solution 11.03618138 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -3 1 0 0 0 0 0 -1 0 1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.210440136084 1.055889055352 0 5 4 6 0132 0132 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.111212095663 0.469655054203 7 0 8 8 0132 0132 2103 0132 0 1 1 1 0 -1 1 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 -2 2 0 1 0 0 -1 -6 0 0 6 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427416230694 1.356521157462 9 7 6 0 0132 0321 0213 0132 0 0 1 1 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 -3 0 3 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.967914007717 0.411618143844 10 1 0 10 0132 0213 0132 1302 0 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 -1 1 -1 0 0 1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811591935773 0.680720564675 7 1 9 8 1023 0132 0132 2031 0 0 1 1 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 0 0 0 0 0 0 0 6 -5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.103654253071 0.832581162157 9 3 1 11 2103 0213 0132 0132 0 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367960415195 0.630563802435 2 5 9 3 0132 1023 0213 0321 0 1 1 1 0 0 -1 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 -3 3 -1 0 1 0 -5 0 0 5 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322978025049 1.031587698803 2 5 2 11 2103 1302 0132 1230 0 1 0 1 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 0 0 0 0 0 1 -1 -2 0 0 2 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788704278010 0.670604195107 3 7 6 5 0132 0213 2103 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 3 -3 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 0.666404968432 0.782386985425 4 11 4 11 0132 3120 2031 1023 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 1 -1 0 1 0 -1 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377663540605 1.364502839472 8 10 6 10 3012 3120 0132 1023 0 0 1 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 1 -1 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377663540605 1.364502839472 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_11'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_8'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0110_5'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : 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_0101_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_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : d['c_1010_4'], 'c_1100_1' : d['c_1010_4'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_11']), 'c_1100_11' : d['c_1010_4'], 'c_1100_10' : negation(d['c_1010_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0011_8'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0101_11'], '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_0011_11'])})} 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_11, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0110_5, c_1001_3, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 190373481619497483377281592041071697698466319937849538836/533023208\ 577475424651953735271416980434756066234425*c_1010_4^12 - 936011092162971415939125371983216707705765291813673537352/533023208\ 577475424651953735271416980434756066234425*c_1010_4^11 - 2688271657353339491009305985153291953180845395132495961378/53302320\ 8577475424651953735271416980434756066234425*c_1010_4^10 - 3156846787606891912793778279327514778567744551676653232626/53302320\ 8577475424651953735271416980434756066234425*c_1010_4^9 - 134976703138318701551848579573718854004862421970408110319/969133106\ 5045007720944613368571217826086473931535*c_1010_4^8 + 1677726395406790851747004672650416892571164702044058109809/53302320\ 8577475424651953735271416980434756066234425*c_1010_4^7 - 6537006689083829744845702038903283851086627198009625059583/53302320\ 8577475424651953735271416980434756066234425*c_1010_4^6 + 376369903843126674267283934341928396671634716544151760134/106604641\ 715495084930390747054283396086951213246885*c_1010_4^5 - 3851193623378009767611730233490625103250418854011579287929/53302320\ 8577475424651953735271416980434756066234425*c_1010_4^4 + 125873114907219891150970751741510476881614767550968292054/533023208\ 577475424651953735271416980434756066234425*c_1010_4^3 - 1099541833986419490218483497506061231638685273718683227654/53302320\ 8577475424651953735271416980434756066234425*c_1010_4^2 + 22642885394695510456671168305003705471948284160474387184/5330232085\ 77475424651953735271416980434756066234425*c_1010_4 - 52703965083500227127559314277995578545983459094691075638/5330232085\ 77475424651953735271416980434756066234425, c_0011_0 - 1, c_0011_10 + 176988376354219383891570645019028988144211569100/1762060193\ 64454685835356606701294869565208616937*c_1010_4^12 + 930089554761927613199950965081371424115842994380/176206019364454685\ 835356606701294869565208616937*c_1010_4^11 + 2826107637838522456461305919926185714440888924158/17620601936445468\ 5835356606701294869565208616937*c_1010_4^10 + 3937066350538855479330061874021928509286046039656/17620601936445468\ 5835356606701294869565208616937*c_1010_4^9 + 8330695069488419284731090472357236703034981476021/17620601936445468\ 5835356606701294869565208616937*c_1010_4^8 + 1229493091656050486314362302138257754455953346558/17620601936445468\ 5835356606701294869565208616937*c_1010_4^7 + 6633420439132723674247038634093619964136447593354/17620601936445468\ 5835356606701294869565208616937*c_1010_4^6 - 265749569805610459750046502310436697660062574953/176206019364454685\ 835356606701294869565208616937*c_1010_4^5 + 3815192353133907896978783472829341988565474249377/17620601936445468\ 5835356606701294869565208616937*c_1010_4^4 + 695123221063190225091465090913491777442052528802/176206019364454685\ 835356606701294869565208616937*c_1010_4^3 + 1665157498731572607521179361532910602322120190912/17620601936445468\ 5835356606701294869565208616937*c_1010_4^2 + 225462357226922464478801216160300940148285082041/176206019364454685\ 835356606701294869565208616937*c_1010_4 + 162533967665217903577238569169666875751986551444/176206019364454685\ 835356606701294869565208616937, c_0011_11 + 191402928374475544908846279558184752817311675652/1762060193\ 64454685835356606701294869565208616937*c_1010_4^12 + 1009758677760669538553665371567521348515653907256/17620601936445468\ 5835356606701294869565208616937*c_1010_4^11 + 3068868559131109114072085865558089661956716931690/17620601936445468\ 5835356606701294869565208616937*c_1010_4^10 + 4269935979556469393957878934257286846844783789838/17620601936445468\ 5835356606701294869565208616937*c_1010_4^9 + 8931545399769500105961397837669306224061542580357/17620601936445468\ 5835356606701294869565208616937*c_1010_4^8 + 1244519213013543228349720474518302797042202458233/17620601936445468\ 5835356606701294869565208616937*c_1010_4^7 + 6769804011467203168882885490401195948697299908677/17620601936445468\ 5835356606701294869565208616937*c_1010_4^6 - 384102490513699575707019891507522984569342981321/176206019364454685\ 835356606701294869565208616937*c_1010_4^5 + 4076638102185577145638667179003712132763132737538/17620601936445468\ 5835356606701294869565208616937*c_1010_4^4 + 673117107815167646524078089321928841027106984136/176206019364454685\ 835356606701294869565208616937*c_1010_4^3 + 1544648230352716771234713796415561237284346039657/17620601936445468\ 5835356606701294869565208616937*c_1010_4^2 + 344270901479659421212488640774334961625484804686/176206019364454685\ 835356606701294869565208616937*c_1010_4 + 106068954960368590692486621096464985530200173676/176206019364454685\ 835356606701294869565208616937, c_0011_3 - 3131042321168206298101548762473790860463511802584/1762060193\ 64454685835356606701294869565208616937*c_1010_4^12 - 15838811349061341690717007250323636504143481234400/1762060193644546\ 85835356606701294869565208616937*c_1010_4^11 - 46351562152783032149293700364805051857306938890756/1762060193644546\ 85835356606701294869565208616937*c_1010_4^10 - 57928774484253752886972980368805276665470375183084/1762060193644546\ 85835356606701294869565208616937*c_1010_4^9 - 128655406303273197260093710636888163009563574838702/176206019364454\ 685835356606701294869565208616937*c_1010_4^8 + 11405954430584982274588924027380090203319679106446/1762060193644546\ 85835356606701294869565208616937*c_1010_4^7 - 101575950855572103734564348258797016687747439708206/176206019364454\ 685835356606701294869565208616937*c_1010_4^6 + 16218922756052631043960660108528893311567488241104/1762060193644546\ 85835356606701294869565208616937*c_1010_4^5 - 58679521251554281989561221650252257872212738397701/1762060193644546\ 85835356606701294869565208616937*c_1010_4^4 - 5881412984023176668380847209677421281127024447692/17620601936445468\ 5835356606701294869565208616937*c_1010_4^3 - 17919900468938987470940845282459638139352420223644/1762060193644546\ 85835356606701294869565208616937*c_1010_4^2 - 1551252285730277611982056542153975190127190693488/17620601936445468\ 5835356606701294869565208616937*c_1010_4 - 841813832758572625226502916851083188122027164547/176206019364454685\ 835356606701294869565208616937, c_0011_6 + 40961037374766659996714394141045621438678492724/176206019364\ 454685835356606701294869565208616937*c_1010_4^12 + 168767162010647182555769894396658837000783845848/176206019364454685\ 835356606701294869565208616937*c_1010_4^11 + 374267794638960466840811821252656888768297780478/176206019364454685\ 835356606701294869565208616937*c_1010_4^10 + 33823952558284853969455484729426226385900621338/1762060193644546858\ 35356606701294869565208616937*c_1010_4^9 + 583244776632009697124780126415680460107911930919/176206019364454685\ 835356606701294869565208616937*c_1010_4^8 - 1968745904020604226098851344478498323170548780363/17620601936445468\ 5835356606701294869565208616937*c_1010_4^7 + 360504556062735959770708824806422832526661074542/176206019364454685\ 835356606701294869565208616937*c_1010_4^6 - 187414067660402486033673091861254419866648617723/176206019364454685\ 835356606701294869565208616937*c_1010_4^5 - 846694737572435393225258004217433694188864949452/176206019364454685\ 835356606701294869565208616937*c_1010_4^4 + 484535016056512040977656348171421940559618314592/176206019364454685\ 835356606701294869565208616937*c_1010_4^3 - 509046284379579661970508348084347409265100814649/176206019364454685\ 835356606701294869565208616937*c_1010_4^2 + 15847346929234962475766770363211248687641907882/1762060193644546858\ 35356606701294869565208616937*c_1010_4 - 133342094806179828147804969384752750867848964410/176206019364454685\ 835356606701294869565208616937, c_0011_8 - 191402928374475544908846279558184752817311675652/17620601936\ 4454685835356606701294869565208616937*c_1010_4^12 - 1009758677760669538553665371567521348515653907256/17620601936445468\ 5835356606701294869565208616937*c_1010_4^11 - 3068868559131109114072085865558089661956716931690/17620601936445468\ 5835356606701294869565208616937*c_1010_4^10 - 4269935979556469393957878934257286846844783789838/17620601936445468\ 5835356606701294869565208616937*c_1010_4^9 - 8931545399769500105961397837669306224061542580357/17620601936445468\ 5835356606701294869565208616937*c_1010_4^8 - 1244519213013543228349720474518302797042202458233/17620601936445468\ 5835356606701294869565208616937*c_1010_4^7 - 6769804011467203168882885490401195948697299908677/17620601936445468\ 5835356606701294869565208616937*c_1010_4^6 + 384102490513699575707019891507522984569342981321/176206019364454685\ 835356606701294869565208616937*c_1010_4^5 - 4076638102185577145638667179003712132763132737538/17620601936445468\ 5835356606701294869565208616937*c_1010_4^4 - 673117107815167646524078089321928841027106984136/176206019364454685\ 835356606701294869565208616937*c_1010_4^3 - 1544648230352716771234713796415561237284346039657/17620601936445468\ 5835356606701294869565208616937*c_1010_4^2 - 344270901479659421212488640774334961625484804686/176206019364454685\ 835356606701294869565208616937*c_1010_4 - 106068954960368590692486621096464985530200173676/176206019364454685\ 835356606701294869565208616937, c_0101_0 - 1, c_0101_10 + 51733473043783129860249287306162061685432849932/17620601936\ 4454685835356606701294869565208616937*c_1010_4^12 + 244429676755286550399126774605417816056157024108/176206019364454685\ 835356606701294869565208616937*c_1010_4^11 + 686627680399180194853723682320903847125198381558/176206019364454685\ 835356606701294869565208616937*c_1010_4^10 + 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55/3844 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB