Magma V2.19-8 Tue Aug 20 2013 16:19:26 on localhost [Seed = 3103335812] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3535 geometric_solution 6.89968701 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427811442791 0.620893259165 0 4 0 2 0132 0132 2310 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247514400758 1.092100840362 4 3 1 0 0213 3012 2031 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 0.769469327555 0.950000703662 2 5 0 6 1230 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 -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 0.729313016265 0.928530481029 2 1 6 5 0213 0132 3012 1230 0 0 0 0 0 0 1 -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 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 0.289368529983 0.992613300545 4 3 5 5 3012 0132 2031 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 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 0.443434624563 0.665599753707 6 4 3 6 3201 1230 0132 2310 0 0 0 0 0 0 0 0 0 0 1 -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 0 -1 1 -1 0 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689999655031 0.745623097449 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : 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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_0101_5'])})} 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_3, c_0011_6, c_0101_1, c_0101_5, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 18843390425555546783467276945241/92574715606210950358772765747648*c\ _0110_5^18 - 206610813524107546193560305911/16531199215394812564066\ 56531208*c_0110_5^17 - 234362135776764799921434745821341/9257471560\ 6210950358772765747648*c_0110_5^16 + 353038042311239034696622622298651/92574715606210950358772765747648*\ c_0110_5^15 + 642532979741388686832548661323305/4628735780310547517\ 9386382873824*c_0110_5^14 - 285221654737832947016714165491369/11571\ 839450776368794846595718456*c_0110_5^13 - 135906285825258769887822380995281/2892959862694092198711648929614*c\ _0110_5^12 + 4916321096163238475194490955606917/9257471560621095035\ 8772765747648*c_0110_5^11 + 855720165567036316891002647571017/66124\ 79686157925025626626124832*c_0110_5^10 - 1175994351933063097415435389045379/23143678901552737589693191436912\ *c_0110_5^9 - 24480109517756538006054690967273675/92574715606210950\ 358772765747648*c_0110_5^8 + 911917832301485791947477930335363/6612\ 479686157925025626626124832*c_0110_5^7 + 4454136180355374883743252209213729/23143678901552737589693191436912\ *c_0110_5^6 - 818872524176738094418936577912837/3306239843078962512\ 813313062416*c_0110_5^5 - 2058385285814313589540695397597119/132249\ 59372315850051253252249664*c_0110_5^4 + 4851534688109896017666033704427669/23143678901552737589693191436912\ *c_0110_5^3 - 4596273284449662904542667441436699/925747156062109503\ 58772765747648*c_0110_5^2 - 1579960955345489828717359478089961/2314\ 3678901552737589693191436912*c_0110_5 + 215651426784228309944604427974457/6612479686157925025626626124832, c_0011_0 - 1, c_0011_2 + 4510942902854798684246156209/413279980384870314101664132802*\ c_0110_5^18 - 2494918748525984624715191035/206639990192435157050832\ 066401*c_0110_5^17 - 56617356337574100989447179921/4132799803848703\ 14101664132802*c_0110_5^16 + 112034828270504075506405142039/4132799\ 80384870314101664132802*c_0110_5^15 + 145178009310386578367209748934/206639990192435157050832066401*c_011\ 0_5^14 - 358361829970021578470460010735/206639990192435157050832066\ 401*c_0110_5^13 - 463372362386616969737324401601/206639990192435157\ 050832066401*c_0110_5^12 + 1827579623735980823638692208645/41327998\ 0384870314101664132802*c_0110_5^11 + 1449363576008713996048138154527/206639990192435157050832066401*c_01\ 10_5^10 - 1362444581610761186702878518810/2066399901924351570508320\ 66401*c_0110_5^9 - 6929273233773352874775090393367/4132799803848703\ 14101664132802*c_0110_5^8 + 2758237911976163392637973596751/2066399\ 90192435157050832066401*c_0110_5^7 + 2839831695917247244073136374822/206639990192435157050832066401*c_01\ 10_5^6 - 3412252423203786577907166656816/20663999019243515705083206\ 6401*c_0110_5^5 - 3459189104155403510845497172855/41327998038487031\ 4101664132802*c_0110_5^4 + 3423646557489935422616121801397/20663999\ 0192435157050832066401*c_0110_5^3 - 660113116320074401780058729051/413279980384870314101664132802*c_011\ 0_5^2 - 1053148000534255733153202832629/206639990192435157050832066\ 401*c_0110_5 + 441213711290020351873813219103/206639990192435157050\ 832066401, c_0011_3 - 3548624192098013628869159429/413279980384870314101664132802*\ c_0110_5^18 + 720810484270301853785203835/2066399901924351570508320\ 66401*c_0110_5^17 + 45231759560470449942373095383/41327998038487031\ 4101664132802*c_0110_5^16 - 57651558766442402875145747775/413279980\ 384870314101664132802*c_0110_5^15 - 131809446439506354998551549864/206639990192435157050832066401*c_011\ 0_5^14 + 194928286242676751938137820597/206639990192435157050832066\ 401*c_0110_5^13 + 475287317837676634439147957767/206639990192435157\ 050832066401*c_0110_5^12 - 816107710655780994883983310627/413279980\ 384870314101664132802*c_0110_5^11 - 1300062353368167385824148998578/206639990192435157050832066401*c_01\ 10_5^10 + 246385276842285874900343188695/20663999019243515705083206\ 6401*c_0110_5^9 + 5239781132136683902230187126039/41327998038487031\ 4101664132802*c_0110_5^8 - 674488014742768267734115759827/206639990\ 192435157050832066401*c_0110_5^7 - 2338668718263458517262562826801/206639990192435157050832066401*c_01\ 10_5^6 + 1745048522479404668605331162820/20663999019243515705083206\ 6401*c_0110_5^5 + 3931739182377684755580860206545/41327998038487031\ 4101664132802*c_0110_5^4 - 1367545763453645959177838651943/20663999\ 0192435157050832066401*c_0110_5^3 - 433485733819922685877359757493/413279980384870314101664132802*c_011\ 0_5^2 + 693067043547090158575182366478/2066399901924351570508320664\ 01*c_0110_5 - 152132331204959024833125189862/2066399901924351570508\ 32066401, c_0011_6 - 384239038872228218133214283/413279980384870314101664132802*c\ _0110_5^18 - 88720572915347624863085516/206639990192435157050832066\ 401*c_0110_5^17 + 5437877902801558505008693069/41327998038487031410\ 1664132802*c_0110_5^16 - 2515352444479017692323189517/4132799803848\ 70314101664132802*c_0110_5^15 - 19135671047703974958975166512/20663\ 9990192435157050832066401*c_0110_5^14 + 13947201241211287675797350459/206639990192435157050832066401*c_0110\ _5^13 + 77752626042647337083452346631/20663999019243515705083206640\ 1*c_0110_5^12 - 54570937408188094727028274671/413279980384870314101\ 664132802*c_0110_5^11 - 193074192990104561597906653398/206639990192\ 435157050832066401*c_0110_5^10 - 46968290178528141841095746338/2066\ 39990192435157050832066401*c_0110_5^9 + 697768664446402091496654200575/413279980384870314101664132802*c_011\ 0_5^8 + 113697431048680657881516504420/2066399901924351570508320664\ 01*c_0110_5^7 - 397664075385999232055493184351/20663999019243515705\ 0832066401*c_0110_5^6 + 203253649325573326070609966711/206639990192\ 435157050832066401*c_0110_5^5 + 342478044215925435647670762281/4132\ 79980384870314101664132802*c_0110_5^4 - 153714894630649761025130198880/206639990192435157050832066401*c_011\ 0_5^3 + 177356210343203632235524655157/4132799803848703141016641328\ 02*c_0110_5^2 + 21556631630639651303823081622/206639990192435157050\ 832066401*c_0110_5 - 184113040726746988408655829429/206639990192435\ 157050832066401, c_0101_1 - 1, c_0101_5 - 1443446870846632390094061953/413279980384870314101664132802*\ c_0110_5^18 + 288826290338113715140570774/2066399901924351570508320\ 66401*c_0110_5^17 + 18288392855178836042713439325/41327998038487031\ 4101664132802*c_0110_5^16 - 22507962507851813107297090255/413279980\ 384870314101664132802*c_0110_5^15 - 52962924393278419716965482587/206639990192435157050832066401*c_0110\ _5^14 + 73065529378192235095370188636/20663999019243515705083206640\ 1*c_0110_5^13 + 193791659439962177125727383869/20663999019243515705\ 0832066401*c_0110_5^12 - 255570699365564767451825931349/41327998038\ 4870314101664132802*c_0110_5^11 - 543325628215726562228807147601/20\ 6639990192435157050832066401*c_0110_5^10 - 33395737701069256889843777577/206639990192435157050832066401*c_0110\ _5^9 + 2115041570690842686781644717423/4132799803848703141016641328\ 02*c_0110_5^8 + 45483833907498069889018850726/206639990192435157050\ 832066401*c_0110_5^7 - 758253623605356291525738808962/2066399901924\ 35157050832066401*c_0110_5^6 + 154071143210251594293342246593/20663\ 9990192435157050832066401*c_0110_5^5 + 1139696636116918468276436212213/413279980384870314101664132802*c_01\ 10_5^4 - 159560019440386361982143800287/206639990192435157050832066\ 401*c_0110_5^3 - 359594099791731328065094022855/4132799803848703141\ 01664132802*c_0110_5^2 - 52103430987395642767307604866/206639990192\ 435157050832066401*c_0110_5 + 4165264546497012682860264314/20663999\ 0192435157050832066401, c_0110_5^19 - 13*c_0110_5^17 + 11*c_0110_5^16 + 82*c_0110_5^15 - 80*c_0110_5^14 - 320*c_0110_5^13 + 125*c_0110_5^12 + 854*c_0110_5^11 + 156*c_0110_5^10 - 1587*c_0110_5^9 - 238*c_0110_5^8 + 1548*c_0110_5^7 - 476*c_0110_5^6 - 1617*c_0110_5^5 + 556*c_0110_5^4 + 597*c_0110_5^3 - 412*c_0110_5^2 - 42*c_0110_5 + 112 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB