Magma V2.19-8 Wed Aug 21 2013 00:39:21 on localhost [Seed = 2177341378] Type ? for help. Type -D to quit. Loading file "K14n26117__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n26117 geometric_solution 10.81858792 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.319320863741 0.329868639671 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 5 -5 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 0 0.256548648970 0.975892743079 8 0 10 9 0132 0132 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 -1 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 0.362669413445 0.817160908330 11 12 9 0 0132 0132 3201 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 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.255235915351 1.145519422860 10 5 0 12 1302 1230 0132 1302 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 5 -1 -4 4 0 -4 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 1.977047917047 0.779851215402 8 1 4 6 1023 0132 3012 0321 0 0 0 0 0 -1 0 1 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 -5 1 4 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 0 1.206437945296 0.903997453939 7 5 1 11 2031 0321 0132 1302 0 0 0 0 0 -1 0 1 1 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 0 -4 0 4 5 0 -5 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 0.144469439291 0.962621780859 10 11 6 1 0321 1302 1302 0132 0 0 0 0 0 0 -1 1 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 -5 5 0 0 -5 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.910152023904 0.464371596593 2 5 12 10 0132 1023 1230 3012 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 4 -4 -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 1.076906196982 1.185483062125 3 12 2 11 2310 2031 0132 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 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 1.185308048002 0.831677500821 7 4 8 2 0321 2031 1230 0132 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 -1 1 0 0 0 0 1 -1 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557820795098 0.969469497485 3 9 6 7 0132 1302 2031 2031 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 1 0 -1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.099076584701 0.453882880707 9 3 4 8 1302 0132 2031 3012 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346454714042 1.523904011230 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_3']), 'c_1001_10' : negation(d['c_0110_12']), 'c_1001_12' : negation(d['c_0110_12']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_12']), 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : negation(d['c_0110_12']), 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0101_8']), 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : d['c_0011_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : d['c_0011_6'], '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_12' : 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_1100_9' : negation(d['c_0011_7']), 'c_1100_8' : d['c_0110_12'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0011_9']), 'c_1100_3' : negation(d['c_0011_9']), 'c_1100_2' : negation(d['c_0011_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_1']), 'c_1100_10' : negation(d['c_0011_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0110_12']), 'c_1010_2' : negation(d['c_0110_12']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0011_6']), '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'], 'c_1100_12' : negation(d['c_0101_5']), '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], '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_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0110_0' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_3']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0110_12'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_3, c_0101_5, c_0101_8, c_0110_12, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 387287939990039934654386804229575736481/600381993833148536702037797\ 3464*c_1001_1^15 - 66250530740276664357522895303926361533/261035649\ 492673276826972955368*c_1001_1^14 + 721293919712152977343961907588334984505/150095498458287134175509449\ 3366*c_1001_1^13 - 2081220358464980172473641013004562008211/3001909\ 969165742683510188986732*c_1001_1^12 + 2586999886207157796141567311640371200685/30019099691657426835101889\ 86732*c_1001_1^11 - 4318273441743006945564432838939292321383/600381\ 9938331485367020377973464*c_1001_1^10 + 1824738313544892092602237391564855432817/60038199383314853670203779\ 73464*c_1001_1^9 - 25981254259206289146145553325243240171/150095498\ 4582871341755094493366*c_1001_1^8 - 44169899959976732586730474580772316759/7504774922914356708775472466\ 83*c_1001_1^7 + 69687543528599243868262656079144624881/150095498458\ 2871341755094493366*c_1001_1^6 - 4830510342929904857595067234648442\ 3151/3001909969165742683510188986732*c_1001_1^5 + 78355183657010747539788820615596700467/6003819938331485367020377973\ 464*c_1001_1^4 - 1412369341585938351625007549674353861/130517824746\ 336638413486477684*c_1001_1^3 + 10773457465321625990769362064734452\ 541/6003819938331485367020377973464*c_1001_1^2 + 91125456183101369141801440567845981/750477492291435670877547246683*\ c_1001_1 - 107259232358092000276092685971453729/1500954984582871341\ 755094493366, c_0011_0 - 1, c_0011_10 - 1645668327919871641614279425981/231271954481182024923743373\ 4*c_1001_1^15 + 299102553465572827580619254135/10055302368747044561\ 9018858*c_1001_1^14 - 6862164644900488062606516930330/1156359772405\ 910124618716867*c_1001_1^13 + 10143257674071162826265246173108/1156\ 359772405910124618716867*c_1001_1^12 - 12843441918849100375040842840218/1156359772405910124618716867*c_100\ 1_1^11 + 22916631476577459470659409743853/2312719544811820249237433\ 734*c_1001_1^10 - 11327883750893684524005743036317/2312719544811820\ 249237433734*c_1001_1^9 + 933562938374260254574498367613/1156359772\ 405910124618716867*c_1001_1^8 + 631460227943863718895889591046/1156\ 359772405910124618716867*c_1001_1^7 - 636416518767530795727601253371/1156359772405910124618716867*c_1001_\ 1^6 + 256720094000293997341416151674/1156359772405910124618716867*c\ _1001_1^5 - 350348062007862821975748248367/231271954481182024923743\ 3734*c_1001_1^4 + 7182638351949623063856956797/50276511843735222809\ 509429*c_1001_1^3 - 83757412085405407972708295681/23127195448118202\ 49237433734*c_1001_1^2 - 2010493172219747938485352607/1156359772405\ 910124618716867*c_1001_1 + 816461834432528478852501370/115635977240\ 5910124618716867, c_0011_11 - 118876639077014044848209449452/50276511843735222809509429*c\ _1001_1^15 + 950431179952146328528928921377/10055302368747044561901\ 8858*c_1001_1^14 - 912818556201292760194224448489/50276511843735222\ 809509429*c_1001_1^13 + 2657713904367271430295930090441/10055302368\ 7470445619018858*c_1001_1^12 - 1666080595165109265175901927198/5027\ 6511843735222809509429*c_1001_1^11 + 1425421044972126376330629979492/50276511843735222809509429*c_1001_1\ ^10 - 1296590672871575073567293107651/100553023687470445619018858*c\ _1001_1^9 + 84924983711670036070079974025/5027651184373522280950942\ 9*c_1001_1^8 + 169634722374333958566769436297/100553023687470445619\ 018858*c_1001_1^7 - 78448009705195721867335186858/50276511843735222\ 809509429*c_1001_1^6 + 27605506353045756169177352199/50276511843735\ 222809509429*c_1001_1^5 - 23111136007773524085891311799/50276511843\ 735222809509429*c_1001_1^4 + 40910820446648496874168975233/10055302\ 3687470445619018858*c_1001_1^3 - 7237119792788061078799087457/10055\ 3023687470445619018858*c_1001_1^2 + 90109848391476048488494049/100553023687470445619018858*c_1001_1 + 257272287684013539125675463/100553023687470445619018858, c_0011_4 + 5887108392833299616182184956299/4625439089623640498474867468\ *c_1001_1^15 - 524576572480745383136470030669/100553023687470445619\ 018858*c_1001_1^14 + 47486661091199671462682024749799/4625439089623\ 640498474867468*c_1001_1^13 - 17476025062932134380253044021226/1156\ 359772405910124618716867*c_1001_1^12 + 44084930369120483206573862937739/2312719544811820249237433734*c_100\ 1_1^11 - 77479581087640680103950843662007/4625439089623640498474867\ 468*c_1001_1^10 + 18688530665575077982624277804613/2312719544811820\ 249237433734*c_1001_1^9 - 5717002405733810633203502639603/462543908\ 9623640498474867468*c_1001_1^8 - 1151813591330967367082177985793/11\ 56359772405910124618716867*c_1001_1^7 + 1104676379987982527557836717365/1156359772405910124618716867*c_1001\ _1^6 - 421681370441888170483423692814/1156359772405910124618716867*\ c_1001_1^5 + 1200231061960978303982829991687/4625439089623640498474\ 867468*c_1001_1^4 - 47797975458283402268396979713/20110604737494089\ 1238037716*c_1001_1^3 + 267452205716151527620871932669/462543908962\ 3640498474867468*c_1001_1^2 + 9912291810204209978465814017/46254390\ 89623640498474867468*c_1001_1 - 2855907852821972493425803305/115635\ 9772405910124618716867, c_0011_6 + 3060288929775144766451054622271/4625439089623640498474867468\ *c_1001_1^15 - 270817446514772210952324658491/100553023687470445619\ 018858*c_1001_1^14 + 24415310782485941431303494307775/4625439089623\ 640498474867468*c_1001_1^13 - 8980976632620030131990173102051/11563\ 59772405910124618716867*c_1001_1^12 + 22627768912678668869998308664017/2312719544811820249237433734*c_100\ 1_1^11 - 39569199173562446837641825466931/4625439089623640498474867\ 468*c_1001_1^10 + 9486066479579651575053246377403/23127195448118202\ 49237433734*c_1001_1^9 - 2820360721417482622808635414815/4625439089\ 623640498474867468*c_1001_1^8 - 623992107038869759164091791365/1156\ 359772405910124618716867*c_1001_1^7 + 585206668916564848149847428762/1156359772405910124618716867*c_1001_\ 1^6 - 218478357921710449178903689239/1156359772405910124618716867*c\ _1001_1^5 + 622615352643118882795178040427/462543908962364049847486\ 7468*c_1001_1^4 - 23804217540098494558054394149/2011060473749408912\ 38037716*c_1001_1^3 + 123753200458273567648276171473/46254390896236\ 40498474867468*c_1001_1^2 + 5099492598632006941676148829/4625439089\ 623640498474867468*c_1001_1 - 2454681451207601418620583005/11563597\ 72405910124618716867, c_0011_7 - 3488014415992595816327204971709/4625439089623640498474867468\ *c_1001_1^15 + 647311088686117187978474449831/201106047374940891238\ 037716*c_1001_1^14 - 30355010406546472067520588643323/4625439089623\ 640498474867468*c_1001_1^13 + 45457223397984020764422777793525/4625\ 439089623640498474867468*c_1001_1^12 - 28998372150266399858589869154899/2312719544811820249237433734*c_100\ 1_1^11 + 53015216247058152079187816833583/4625439089623640498474867\ 468*c_1001_1^10 - 27833935769168893813957226867721/4625439089623640\ 498474867468*c_1001_1^9 + 5633437278866621260479352344947/462543908\ 9623640498474867468*c_1001_1^8 + 2543755820237985705285531140003/46\ 25439089623640498474867468*c_1001_1^7 - 733689411806184802697150598144/1156359772405910124618716867*c_1001_\ 1^6 + 313635290177444013106151163638/1156359772405910124618716867*c\ _1001_1^5 - 781806848095237301381444736437/462543908962364049847486\ 7468*c_1001_1^4 + 8253072835078903316087299024/50276511843735222809\ 509429*c_1001_1^3 - 120581908395170619156759862885/2312719544811820\ 249237433734*c_1001_1^2 + 263276037228145392778149485/1156359772405\ 910124618716867*c_1001_1 + 3510791319494704066351668543/46254390896\ 23640498474867468, c_0011_9 - 8319696001976180085420117941795/4625439089623640498474867468\ *c_1001_1^15 + 703672163458153824228675730475/100553023687470445619\ 018858*c_1001_1^14 - 60344029064408079350492252260473/4625439089623\ 640498474867468*c_1001_1^13 + 21570398874203385819846109682803/1156\ 359772405910124618716867*c_1001_1^12 - 53472574990151158990203561038601/2312719544811820249237433734*c_100\ 1_1^11 + 87748483158028803303042329591727/4625439089623640498474867\ 468*c_1001_1^10 - 17659483516765749588464607005251/2312719544811820\ 249237433734*c_1001_1^9 + 1754880122132654290978985861801/462543908\ 9623640498474867468*c_1001_1^8 + 1538213574012528683679043722122/11\ 56359772405910124618716867*c_1001_1^7 - 1187317451674335490211520485403/1156359772405910124618716867*c_1001\ _1^6 + 341962639760287170626750975416/1156359772405910124618716867*\ c_1001_1^5 - 1461627385206165999524145262775/4625439089623640498474\ 867468*c_1001_1^4 + 55858079192542359594524918237/20110604737494089\ 1238037716*c_1001_1^3 - 104416352490620324085856662739/462543908962\ 3640498474867468*c_1001_1^2 - 16591106501195627585438598135/4625439\ 089623640498474867468*c_1001_1 + 909515528029201068252725375/115635\ 9772405910124618716867, c_0101_0 + 147625295524018188201149365725/55728181802694463837046596*c_\ 1001_1^15 - 25718800285224609342156479517/2422964426204107123349852\ *c_1001_1^14 + 1134906649114003230389239205455/55728181802694463837\ 046596*c_1001_1^13 - 1645447417395218579133837502287/55728181802694\ 463837046596*c_1001_1^12 + 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] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 58.740 Total time: 58.950 seconds, Total memory usage: 171.91MB