Magma V2.19-8 Wed Aug 21 2013 01:03:43 on localhost [Seed = 1393904488] Type ? for help. Type -D to quit. Loading file "L14n21840__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n21840 geometric_solution 11.37352243 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 0213 0132 0132 1 1 1 1 0 0 0 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 -1 0 1 0 0 0 0 4 -4 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318057622436 0.997378679312 0 4 0 5 0132 0132 0213 0132 1 1 1 1 0 0 0 0 0 0 1 -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 -1 1 0 0 0 4 -4 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313500672690 0.472811509850 6 5 7 0 0132 0321 0132 0132 1 1 1 1 0 0 0 0 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 4 0 0 -4 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.072955993610 1.358069797786 4 8 0 9 0213 0132 0132 0132 1 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 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 1.150922627554 1.220930826669 3 1 10 5 0213 0132 0132 0321 1 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 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 1.009173366236 1.104482014748 11 4 1 2 0132 0321 0132 0321 1 1 1 1 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 0.797367825319 0.863636424878 2 10 11 9 0132 0132 0132 3201 1 1 1 1 0 0 0 0 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 1 0 -1 0 0 0 0 4 0 0 -4 -4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.720298491322 1.602468496654 12 12 12 2 0132 1302 3012 0132 1 1 1 0 0 0 0 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 3 -3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399971355814 0.370588669080 11 3 10 9 1230 0132 3120 2310 1 1 1 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 -1 0 0 1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.121440027234 0.364454605428 8 6 3 12 3201 2310 0132 3012 1 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 4 -1 -3 -3 0 0 3 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654713072013 1.246459489979 11 6 8 4 2031 0132 3120 0132 1 1 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 -1 0 1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383877964875 0.478612589410 5 8 10 6 0132 3012 1302 0132 1 1 1 1 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 1 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224986823911 0.789587198294 7 7 9 7 0132 1230 1230 2031 1 1 0 1 0 0 -1 1 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 -3 3 0 0 0 0 -1 1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.206402154221 0.745096043398 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_9']), 'c_1001_2' : negation(d['c_0110_9']), 'c_1001_9' : negation(d['c_1001_10']), 'c_1001_8' : negation(d['c_1001_10']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : negation(d['c_0101_8']), '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'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : negation(d['c_0011_9']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_9']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : negation(d['c_1001_12']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0110_9']), 'c_1100_0' : negation(d['c_1001_12']), 'c_1100_3' : negation(d['c_1001_12']), 'c_1100_2' : negation(d['c_1001_12']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_9']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : negation(d['c_1001_10']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : negation(d['c_0110_9']), 'c_1010_9' : negation(d['c_0101_12']), 'c_1010_8' : negation(d['c_0110_9']), 'c_1100_8' : d['c_0011_9'], 's_3_1' : d['1'], 's_3_0' : negation(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' : d['c_0110_9'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(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' : d['c_0011_10'], 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0011_3'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_12'], 's_2_9' : d['1']})} 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_12, c_0011_3, c_0011_9, c_0101_0, c_0101_12, c_0101_8, c_0110_9, c_1001_0, c_1001_10, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 3051790526225655389682566223273803322381204900252011704369753368/95\ 09453194239280890079341656117626658097577468500770089901945*c_1001_\ 12^13 + 51706340472059407674037154864850872351655860081278813400067\ 74844/9509453194239280890079341656117626658097577468500770089901945\ *c_1001_12^12 - 405784057328721566501593612311308397088121850469885\ 63811434059672/9509453194239280890079341656117626658097577468500770\ 089901945*c_1001_12^11 + 179178595800769081436822649673609070627516\ 1264927866080770017283/22914345046359712988142991942452112429150789\ 0807247472045830*c_1001_12^10 - 28587398774334980063260553809159188\ 04120830192192156373511861578/1339359604822433928180188965650369951\ 84472922091560142111295*c_1001_12^9 + 617447761537299090501049070534046398049466192654231106854030385467/\ 19018906388478561780158683312235253316195154937001540179803890*c_10\ 01_12^8 - 102302239760607877779490103789392137451771864277750178974\ 6902247923/19018906388478561780158683312235253316195154937001540179\ 803890*c_1001_12^7 + 6089530993764416470967252130664198770327874114\ 19605660224764691054/9509453194239280890079341656117626658097577468\ 500770089901945*c_1001_12^6 - 2150670712959353207485847775317539210\ 955121336699222481206151274057/190189063884785617801586833122352533\ 16195154937001540179803890*c_1001_12^5 + 1284827467952443506205948272902254475429951710912966214906025221666\ /9509453194239280890079341656117626658097577468500770089901945*c_10\ 01_12^4 - 159903219581855829378110548403922836992102124526039879944\ 860984542/190189063884785617801586833122352533161951549370015401798\ 0389*c_1001_12^3 - 434885229401908429814969819654491436941834855492\ 932110127470907161/950945319423928089007934165611762665809757746850\ 0770089901945*c_1001_12^2 + 131777922284550932310616372559658587538\ 898046338569796145554669541/135849331346275441286847737944537523687\ 1082495500110012843135*c_1001_12 - 657853728229414912470100681245532441194272101672240463541160437849/\ 19018906388478561780158683312235253316195154937001540179803890, c_0011_0 - 1, c_0011_10 + 196583015058562044386796361181805263853196560/2176111071426\ 76181867965970445715164440714115371*c_1001_12^13 - 485881698147595988638635741608898380450740728/217611107142676181867\ 965970445715164440714115371*c_1001_12^12 + 1246828021315307650904749222222960791186002040/21761110714267618186\ 7965970445715164440714115371*c_1001_12^11 - 62517896067354266529898050117156776781583953/2621820567984050383951\ 397234285724872779688137*c_1001_12^10 - 1880978903647162121203979285013388860775521453/21761110714267618186\ 7965970445715164440714115371*c_1001_12^9 - 5275340999992183480107778606501952898378575315/21761110714267618186\ 7965970445715164440714115371*c_1001_12^8 - 18990563722085214487740656304227145590762559398/2176111071426761818\ 67965970445715164440714115371*c_1001_12^7 + 24570000359586212497778481375347089394815231730/2176111071426761818\ 67965970445715164440714115371*c_1001_12^6 - 7389208839172911493127407540884053253985984717/21761110714267618186\ 7965970445715164440714115371*c_1001_12^5 + 18259504714930773191050700320387792598518467934/2176111071426761818\ 67965970445715164440714115371*c_1001_12^4 - 167607712602943229245676975614790726401000722850/217611107142676181\ 867965970445715164440714115371*c_1001_12^3 + 324163098615605872019508377538451765862906789109/217611107142676181\ 867965970445715164440714115371*c_1001_12^2 + 36309593483236384117673256712447058211158260747/2176111071426761818\ 67965970445715164440714115371*c_1001_12 - 234508233401920442570657361419890460679638678251/217611107142676181\ 867965970445715164440714115371, c_0011_11 - 384072202753815504999672331605428367266787456/2176111071426\ 76181867965970445715164440714115371*c_1001_12^13 + 2666892836590195175917224432614506268317787472/21761110714267618186\ 7965970445715164440714115371*c_1001_12^12 - 6512833965468414980218476009614960684201691048/21761110714267618186\ 7965970445715164440714115371*c_1001_12^11 + 424077329315517289535126256371330518063221640/262182056798405038395\ 1397234285724872779688137*c_1001_12^10 - 48705379681696744667661643434394593513136005179/2176111071426761818\ 67965970445715164440714115371*c_1001_12^9 + 153445344717811397531680899663347412211492456740/217611107142676181\ 867965970445715164440714115371*c_1001_12^8 - 154501496131567417445784261075310987256559390950/217611107142676181\ 867965970445715164440714115371*c_1001_12^7 + 328167189038958419731538964350036727570186016488/217611107142676181\ 867965970445715164440714115371*c_1001_12^6 - 309971501148395529613962905302533628075333324603/217611107142676181\ 867965970445715164440714115371*c_1001_12^5 + 721989436338702695873850044160063759281183042176/217611107142676181\ 867965970445715164440714115371*c_1001_12^4 - 547591249054854313320425433423360684107730144323/217611107142676181\ 867965970445715164440714115371*c_1001_12^3 + 260751552140827411028351484669302278485648852228/217611107142676181\ 867965970445715164440714115371*c_1001_12^2 + 530791044388315587179685234317992067091747622394/217611107142676181\ 867965970445715164440714115371*c_1001_12 - 511035191656215073314158739168395929869711139962/217611107142676181\ 867965970445715164440714115371, c_0011_12 + 1, c_0011_3 + 1451757064280778577143080565556292140097630880/2176111071426\ 76181867965970445715164440714115371*c_1001_12^13 + 611833542494589508023316880295836911789184352/217611107142676181867\ 965970445715164440714115371*c_1001_12^12 + 16153974967077988699387441791614314522800841752/2176111071426761818\ 67965970445715164440714115371*c_1001_12^11 + 26069541570244794836731964997975601225697422/2621820567984050383951\ 397234285724872779688137*c_1001_12^10 + 48249027844510517578378826075780720821024302667/2176111071426761818\ 67965970445715164440714115371*c_1001_12^9 + 10762741010770018743430048828211433619791777603/2176111071426761818\ 67965970445715164440714115371*c_1001_12^8 + 54729903945121900836218356215280252989172288899/2176111071426761818\ 67965970445715164440714115371*c_1001_12^7 + 49738685579966086854762209894363781401576859564/2176111071426761818\ 67965970445715164440714115371*c_1001_12^6 + 156714760114030610870447864484993749026503785767/217611107142676181\ 867965970445715164440714115371*c_1001_12^5 + 223149454596104483045753239356906237154275369094/217611107142676181\ 867965970445715164440714115371*c_1001_12^4 - 424165175281586760097471506919547980813914558666/217611107142676181\ 867965970445715164440714115371*c_1001_12^3 + 476609396065401351652752554915454930309650940100/217611107142676181\ 867965970445715164440714115371*c_1001_12^2 + 233598731670332258210067123038871755122474275238/217611107142676181\ 867965970445715164440714115371*c_1001_12 - 366317406309305164007454623966331741701401830114/217611107142676181\ 867965970445715164440714115371, c_0011_9 + 43988183306268464033942296031886349298889504/217611107142676\ 181867965970445715164440714115371*c_1001_12^13 + 205645737635168796589674736731346565647093056/217611107142676181867\ 965970445715164440714115371*c_1001_12^12 + 1379593094265458239403439347177229428692704936/21761110714267618186\ 7965970445715164440714115371*c_1001_12^11 + 14282423236164529906388132642998315690911142/2621820567984050383951\ 397234285724872779688137*c_1001_12^10 + 10808249342841329625043020180049786591427874589/2176111071426761818\ 67965970445715164440714115371*c_1001_12^9 - 7724543905024699549026879713216231091656898679/21761110714267618186\ 7965970445715164440714115371*c_1001_12^8 + 31993042344337161323190761420648704374223374140/2176111071426761818\ 67965970445715164440714115371*c_1001_12^7 - 47456409092036875670796215809553596779543309820/2176111071426761818\ 67965970445715164440714115371*c_1001_12^6 + 41970740485573527744510362953306722404315000366/2176111071426761818\ 67965970445715164440714115371*c_1001_12^5 - 61586535496355042550812999413967024997619413409/2176111071426761818\ 67965970445715164440714115371*c_1001_12^4 + 132507257732197870084250309602147007206142540566/217611107142676181\ 867965970445715164440714115371*c_1001_12^3 - 186092657702786008240063715120587732795267630574/217611107142676181\ 867965970445715164440714115371*c_1001_12^2 - 90654658548172103761738808184751908090826949670/2176111071426761818\ 67965970445715164440714115371*c_1001_12 + 161429097329644250046179826841019755805468934644/217611107142676181\ 867965970445715164440714115371, c_0101_0 - 959387204492696393442173747740589948835665424/21761110714267\ 6181867965970445715164440714115371*c_1001_12^13 - 1189045172506269563948021114521653811955163144/21761110714267618186\ 7965970445715164440714115371*c_1001_12^12 - 9293386379272961727912185255935827256502995800/21761110714267618186\ 7965970445715164440714115371*c_1001_12^11 - 134474011132006578543418423917321943194940527/262182056798405038395\ 1397234285724872779688137*c_1001_12^10 - 11956158392072973407938428522282728854960504731/2176111071426761818\ 67965970445715164440714115371*c_1001_12^9 - 51797804232985583970222214074518837482146585431/2176111071426761818\ 67965970445715164440714115371*c_1001_12^8 + 40587283462127346630535422110496176751044512458/2176111071426761818\ 67965970445715164440714115371*c_1001_12^7 - 133291051113131471939127793764660491948926697122/217611107142676181\ 867965970445715164440714115371*c_1001_12^6 + 8410842777211667480722923469058198487437181107/21761110714267618186\ 7965970445715164440714115371*c_1001_12^5 - 294862417431341972580706123186131061541261679488/217611107142676181\ 867965970445715164440714115371*c_1001_12^4 + 455507455037214990809982285156476588094246343800/217611107142676181\ 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67965970445715164440714115371*c_1001_12^5 - 61586535496355042550812999413967024997619413409/2176111071426761818\ 67965970445715164440714115371*c_1001_12^4 + 132507257732197870084250309602147007206142540566/217611107142676181\ 867965970445715164440714115371*c_1001_12^3 - 186092657702786008240063715120587732795267630574/217611107142676181\ 867965970445715164440714115371*c_1001_12^2 - 90654658548172103761738808184751908090826949670/2176111071426761818\ 67965970445715164440714115371*c_1001_12 + 161429097329644250046179826841019755805468934644/217611107142676181\ 867965970445715164440714115371, c_1001_12^14 - 7/6*c_1001_12^13 + 109/9*c_1001_12^12 - 7345/432*c_1001_12^11 + 1349/27*c_1001_12^10 - 8759/144*c_1001_12^9 + 14059/144*c_1001_12^8 - 4325/48*c_1001_12^7 + 11311/54*c_1001_12^6 - 42445/216*c_1001_12^5 - 1129/27*c_1001_12^4 + 155969/432*c_1001_12^3 - 28001/108*c_1001_12^2 - 48545/432*c_1001_12 + 50623/432 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.620 Total time: 0.830 seconds, Total memory usage: 32.09MB