Magma V2.19-8 Tue Aug 20 2013 16:15:49 on localhost [Seed = 139039777] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0046 geometric_solution 3.61300647 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 0 0 0 0 0 1 -1 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 -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 3.099566854937 0.342279721708 0 2 2 0 3201 0132 3201 0132 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 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 -1.553428660035 1.140385698802 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 1 -1 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 1 -1 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 0.034758575356 0.079046893694 5 4 6 2 0132 3012 0132 0132 0 0 0 0 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 -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 -2.849741523145 1.859988439293 3 5 2 6 1230 1230 0132 0132 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 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 0.179650875628 1.546541440320 3 6 4 6 0132 2031 3012 3201 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.006411992162 0.511175528349 5 5 4 3 1302 2310 0132 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 -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 0.975465085653 1.955967425808 ==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' : negation(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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_1100_2'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_1100_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_4']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_0']})} 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_1, c_0011_3, c_0011_4, c_0011_6, c_0101_1, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 7083811018222390374872902171/247767003841800735432821912064*c_1100_\ 2^15 - 21372656456677743155806212895/123883501920900367716410956032\ *c_1100_2^14 - 150091640172883581939881198155/247767003841800735432\ 821912064*c_1100_2^13 + 119010640806364809865518650021/412945006403\ 00122572136985344*c_1100_2^12 + 1726748265286427278419560687551/247\ 767003841800735432821912064*c_1100_2^11 + 1199743993433854279629908123147/247767003841800735432821912064*c_11\ 00_2^10 + 45865524035523672314005372133/924503745678360953107544448\ *c_1100_2^9 + 13593848154131219221679078101345/12388350192090036771\ 6410956032*c_1100_2^8 - 914911422274920361130681393311/309708754802\ 25091929102739008*c_1100_2^7 - 13034186684947623914086065279013/619\ 41750960450183858205478016*c_1100_2^6 - 4773870308490701967389914885883/41294500640300122572136985344*c_110\ 0_2^5 - 25375074399363680803379592575177/24776700384180073543282191\ 2064*c_1100_2^4 - 8628504145620144578232701269409/41294500640300122\ 572136985344*c_1100_2^3 + 22538485652626397725305352603685/24776700\ 3841800735432821912064*c_1100_2^2 + 4203496666376627996749315415771/10323625160075030643034246336*c_110\ 0_2 + 1734322263579904971715206197689/7742718870056272982275684752, c_0011_0 - 1, c_0011_1 - 72198869556781526091/43477414676371376651032*c_1100_2^15 + 790121957035833038457/43477414676371376651032*c_1100_2^14 - 1829053777647903166395/43477414676371376651032*c_1100_2^13 - 3628788153209315827881/43477414676371376651032*c_1100_2^12 + 9618353687517445281471/43477414676371376651032*c_1100_2^11 - 6531842875785233867805/10869353669092844162758*c_1100_2^10 - 44364708255723633870025/43477414676371376651032*c_1100_2^9 + 46784307861726988044733/21738707338185688325516*c_1100_2^8 + 22842660825436623856001/21738707338185688325516*c_1100_2^7 - 22709559465052275107347/10869353669092844162758*c_1100_2^6 + 44988243346436731783571/21738707338185688325516*c_1100_2^5 + 35419461078590537012751/43477414676371376651032*c_1100_2^4 - 167704743954746058130275/43477414676371376651032*c_1100_2^3 - 44417477479479070035771/43477414676371376651032*c_1100_2^2 + 99511285856289432217045/43477414676371376651032*c_1100_2 + 532887572692201609027/5434676834546422081379, c_0011_3 + 33688831062926772762542145/10323625160075030643034246336*c_1\ 100_2^15 - 206773895487763470909661261/5161812580037515321517123168\ *c_1100_2^14 + 1371420732930851087284485551/10323625160075030643034\ 246336*c_1100_2^13 + 95205329784308347318118861/5161812580037515321\ 517123168*c_1100_2^12 - 5192552274060921806922479859/10323625160075\ 030643034246336*c_1100_2^11 + 16577101504845257138908179985/1032362\ 5160075030643034246336*c_1100_2^10 + 6406962634401020660282895/38520989403265039712814352*c_1100_2^9 - 27598141248587556295230566813/5161812580037515321517123168*c_1100_2\ ^8 + 2310993808085201979610597827/1290453145009378830379280792*c_11\ 00_2^7 + 10107551036619969775716435873/2580906290018757660758561584\ *c_1100_2^6 - 28687265100912120463578620899/51618125800375153215171\ 23168*c_1100_2^5 + 22178581275902614182864579733/103236251600750306\ 43034246336*c_1100_2^4 + 42976894180632407925313280839/516181258003\ 7515321517123168*c_1100_2^3 - 29489806583883525646515311617/1032362\ 5160075030643034246336*c_1100_2^2 - 7265762062061141556942785721/1290453145009378830379280792*c_1100_2 + 384451161297179037054130187/161306643126172353797410099, c_0011_4 + 4511909118354440020385369/5161812580037515321517123168*c_110\ 0_2^15 - 24839083086456830961235793/2580906290018757660758561584*c_\ 1100_2^14 + 121059284998983090379308583/516181258003751532151712316\ 8*c_1100_2^13 + 86165170040475642025779153/258090629001875766075856\ 1584*c_1100_2^12 - 425245577062153580815099947/51618125800375153215\ 17123168*c_1100_2^11 + 1538789646163580700742372465/516181258003751\ 5321517123168*c_1100_2^10 + 8037946884399725687377725/1926049470163\ 2519856407176*c_1100_2^9 - 2087118297471371621339423093/25809062900\ 18757660758561584*c_1100_2^8 - 517667699361170452571516679/64522657\ 2504689415189640396*c_1100_2^7 - 162367290030774165726669223/129045\ 3145009378830379280792*c_1100_2^6 - 1453966065739504176499399611/2580906290018757660758561584*c_1100_2^\ 5 - 527090012879245657441134147/5161812580037515321517123168*c_1100\ _2^4 + 3600734294911895957820347251/2580906290018757660758561584*c_\ 1100_2^3 + 9387138122287455513241285751/516181258003751532151712316\ 8*c_1100_2^2 - 57531053132317276198764639/3226132862523447075948201\ 98*c_1100_2 - 65435859852012404262195786/16130664312617235379741009\ 9, c_0011_6 - 241365439554012221781/347819317410971013208256*c_1100_2^15 + 1387426272777961867425/173909658705485506604128*c_1100_2^14 - 7552834049389262834459/347819317410971013208256*c_1100_2^13 - 4550804209996433217153/173909658705485506604128*c_1100_2^12 + 40968095973208193139375/347819317410971013208256*c_1100_2^11 - 111104907235403550369861/347819317410971013208256*c_1100_2^10 - 23101820597608192121817/86954829352742753302064*c_1100_2^9 + 200088582232406685824321/173909658705485506604128*c_1100_2^8 - 4653653407999510156223/43477414676371376651032*c_1100_2^7 - 87944196933738253230341/86954829352742753302064*c_1100_2^6 + 259684891068506523988127/173909658705485506604128*c_1100_2^5 + 116282290243045715980103/347819317410971013208256*c_1100_2^4 - 375340768294680994222947/173909658705485506604128*c_1100_2^3 - 45540154812262000927979/347819317410971013208256*c_1100_2^2 + 79295064802331171141825/43477414676371376651032*c_1100_2 - 4298539503076342351043/5434676834546422081379, c_0101_1 - 3398539058801859997785951/10323625160075030643034246336*c_11\ 00_2^15 + 10738481998471466248126419/5161812580037515321517123168*c\ _1100_2^14 + 107880816728372276140416655/10323625160075030643034246\ 336*c_1100_2^13 - 430048502220999463141329907/516181258003751532151\ 7123168*c_1100_2^12 + 859493314590999456111993709/10323625160075030\ 643034246336*c_1100_2^11 - 423633361539113192215176783/103236251600\ 75030643034246336*c_1100_2^10 - 33530730015804162418506321/38520989\ 403265039712814352*c_1100_2^9 + 3058312253528476961881179171/516181\ 2580037515321517123168*c_1100_2^8 + 1425854194733959537852714411/1290453145009378830379280792*c_1100_2^\ 7 - 2408208994358670611793749343/2580906290018757660758561584*c_110\ 0_2^6 + 4375567024036504321792212797/5161812580037515321517123168*c\ _1100_2^5 + 11939582657509101085483500597/1032362516007503064303424\ 6336*c_1100_2^4 - 4820978728130183274988012537/51618125800375153215\ 17123168*c_1100_2^3 - 10659209319559405456033644385/103236251600750\ 30643034246336*c_1100_2^2 + 876488710745879091572568007/12904531450\ 09378830379280792*c_1100_2 - 103707843717657593597061445/1613066431\ 26172353797410099, c_1100_2^16 - 10*c_1100_2^15 + 15*c_1100_2^14 + 74*c_1100_2^13 - 83*c_1100_2^12 + 225*c_1100_2^11 + 964*c_1100_2^10 - 698*c_1100_2^9 - 1992*c_1100_2^8 + 708*c_1100_2^7 + 122*c_1100_2^6 - 2123*c_1100_2^5 + 1822*c_1100_2^4 + 3359*c_1100_2^3 - 856*c_1100_2^2 - 1408*c_1100_2 + 512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB