Magma V2.19-8 Tue Aug 20 2013 16:14:50 on localhost [Seed = 290491772] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s815 geometric_solution 5.37818161 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 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 -1 0 1 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 0.470615770411 0.381407475288 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.246880726876 0.657989106324 1 3 4 5 0132 0213 0132 0132 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496584439744 0.538022844383 5 4 2 1 0132 3201 0213 0132 0 0 0 0 0 -1 0 1 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496584439744 0.538022844383 4 4 3 2 1302 2031 2310 0132 0 0 0 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541416733915 0.944667033063 3 5 2 5 0132 1302 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 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 0.696142839683 1.408653218401 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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' : negation(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' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 48935853410454608253342185897523399/1425129779293187596807576740408\ 7700*c_0101_1^15 + 368203696962662941145805476265848737/14251297792\ 931875968075767404087700*c_0101_1^14 + 705546979554036029441652768350946417/142512977929318759680757674040\ 87700*c_0101_1^13 - 781466231470787942563920044739583502/3562824448\ 232968992018941851021925*c_0101_1^12 - 8505993580226089590775671303193611081/71256488964659379840378837020\ 43850*c_0101_1^11 - 31389506693586685256021462523391107303/14251297\ 792931875968075767404087700*c_0101_1^10 - 6692216377902751896653396251743642178/35628244482329689920189418510\ 21925*c_0101_1^9 - 950490590786862744991517500214901079/14251297792\ 931875968075767404087700*c_0101_1^8 + 149120404992237563780383267313537717444/356282444823296899201894185\ 1021925*c_0101_1^7 + 2014255573232597712388175707776665341119/14251\ 297792931875968075767404087700*c_0101_1^6 + 704689893005490329504392851734444331683/356282444823296899201894185\ 1021925*c_0101_1^5 + 549040613852339488586093193210504774246/356282\ 4448232968992018941851021925*c_0101_1^4 + 222296275294340421219733880388020144147/356282444823296899201894185\ 1021925*c_0101_1^3 - 1891900948305638691318648392461139537/64778626\ 3315085271276171245640350*c_0101_1^2 - 143764967869776194725399216385496370631/142512977929318759680757674\ 04087700*c_0101_1 - 99666334188301665189087152395831347/51822901065\ 206821702093699651228, c_0011_0 - 1, c_0011_1 + 106138004163179465520204/101206008638952683277871105*c_0101_\ 1^15 + 725800360651416254279597/101206008638952683277871105*c_0101_\ 1^14 + 1067000881788607363196117/101206008638952683277871105*c_0101\ _1^13 - 7291041488154428147932018/101206008638952683277871105*c_010\ 1_1^12 - 31651322343232954565039932/101206008638952683277871105*c_0\ 101_1^11 - 48865660031057704861890633/101206008638952683277871105*c\ _0101_1^10 - 33714474953052236763990732/101206008638952683277871105\ *c_0101_1^9 + 9421391087915129050643376/101206008638952683277871105\ *c_0101_1^8 + 1281821913469099306161562311/101206008638952683277871\ 105*c_0101_1^7 + 3495468428954759395283254034/101206008638952683277\ 871105*c_0101_1^6 + 4131918412050558792321468637/101206008638952683\ 277871105*c_0101_1^5 + 2878752849562262745096555784/101206008638952\ 683277871105*c_0101_1^4 + 857422885601890552040510433/1012060086389\ 52683277871105*c_0101_1^3 - 158955779142531839365379989/10120600863\ 8952683277871105*c_0101_1^2 - 204383254307077690861534611/101206008\ 638952683277871105*c_0101_1 - 17528462074624594316171959/2024120172\ 7790536655574221, c_0011_3 - 51477353062808861843590881233/662696944567862170103499995540\ *c_0101_1^15 - 386251431556586107211983415349/662696944567862170103\ 499995540*c_0101_1^14 - 735633474585002454150310050379/662696944567\ 862170103499995540*c_0101_1^13 + 1647039842197015597288805449913/33\ 1348472283931085051749997770*c_0101_1^12 + 4454211103964725606721526348531/165674236141965542525874998885*c_01\ 01_1^11 + 32757185172216255545473545502411/662696944567862170103499\ 995540*c_0101_1^10 + 6966172819805421776056244769721/16567423614196\ 5542525874998885*c_0101_1^9 + 890756153042557445033916708193/662696\ 944567862170103499995540*c_0101_1^8 - 313641148640063881378366952464921/331348472283931085051749997770*c_\ 0101_1^7 - 2106025723656161582785078501090303/662696944567862170103\ 499995540*c_0101_1^6 - 734806003123801226596053716640186/1656742361\ 41965542525874998885*c_0101_1^5 - 572102487910331287333822952160342\ /165674236141965542525874998885*c_0101_1^4 - 230824361460883210396609044634154/165674236141965542525874998885*c_\ 0101_1^3 + 22373255949281834298273619128789/33134847228393108505174\ 9997770*c_0101_1^2 + 150404879510290153425482510873477/662696944567\ 862170103499995540*c_0101_1 + 5840086234502901127031189919693/13253\ 9388913572434020699999108, c_0011_4 + 50029673335396143061272908557131/259114505326034108510468498\ 256140*c_0101_1^15 + 378256434962926341946844643399943/259114505326\ 034108510468498256140*c_0101_1^14 + 733935755199821241041094011656473/259114505326034108510468498256140\ *c_0101_1^13 - 1588358979479801040645752089567951/12955725266301705\ 4255234249128070*c_0101_1^12 - 4379545969377194650910697823747742/6\ 4778626331508527127617124564035*c_0101_1^11 - 32647595668952078900646040204045197/2591145053260341085104684982561\ 40*c_0101_1^10 - 7056357660073800627414406455323752/647786263315085\ 27127617124564035*c_0101_1^9 - 1526280859632191463756722157143471/2\ 59114505326034108510468498256140*c_0101_1^8 + 305019640755986304200831996977305887/129557252663017054255234249128\ 070*c_0101_1^7 + 2081339579489356421781798974468257901/259114505326\ 034108510468498256140*c_0101_1^6 + 735891852812090503725730559506559407/647786263315085271276171245640\ 35*c_0101_1^5 + 579213342163800278690192809770424944/64778626331508\ 527127617124564035*c_0101_1^4 + 23866361488066445774257616095191682\ 8/64778626331508527127617124564035*c_0101_1^3 - 16052027735778529231402253534331383/1295572526630170542552342491280\ 70*c_0101_1^2 - 153004052116834258518086008521436539/25911450532603\ 4108510468498256140*c_0101_1 - 6184878064060378522344872846442375/5\ 1822901065206821702093699651228, c_0101_0 + 12332038832347109992785564883/79143098755660998323295204110*\ c_0101_1^15 + 92889560601837131493612907609/79143098755660998323295\ 204110*c_0101_1^14 + 178743728041197350675743980829/791430987556609\ 98323295204110*c_0101_1^13 - 392593168398087980609576545198/3957154\ 9377830499161647602055*c_0101_1^12 - 2146372999335733812032421916632/39571549377830499161647602055*c_010\ 1_1^11 - 7959109134822717407895705398681/79143098755660998323295204\ 110*c_0101_1^10 - 3426525500548141326959679112537/39571549377830499\ 161647602055*c_0101_1^9 - 335487751718175560544443348543/7914309875\ 5660998323295204110*c_0101_1^8 + 75154380630393746636282399738816/3\ 9571549377830499161647602055*c_0101_1^7 + 508867195262220532107984275324393/79143098755660998323295204110*c_0\ 101_1^6 + 358344223250804187503091849114702/39571549377830499161647\ 602055*c_0101_1^5 + 281623218469832609678119296490929/3957154937783\ 0499161647602055*c_0101_1^4 + 115657858004733491314053977555288/395\ 71549377830499161647602055*c_0101_1^3 - 3894423166862500959297862025759/39571549377830499161647602055*c_010\ 1_1^2 - 37066359292749730633784781476547/79143098755660998323295204\ 110*c_0101_1 - 1504557562936118922959285418433/15828619751132199664\ 659040822, c_0101_1^16 + 8*c_0101_1^15 + 18*c_0101_1^14 - 57*c_0101_1^13 - 378*c_0101_1^12 - 807*c_0101_1^11 - 853*c_0101_1^10 - 281*c_0101_1^9 + 12179*c_0101_1^8 + 46961*c_0101_1^7 + 77213*c_0101_1^6 + 72376*c_0101_1^5 + 39632*c_0101_1^4 + 7854*c_0101_1^3 - 3339*c_0101_1^2 - 1980*c_0101_1 - 275 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB