Magma V2.19-8 Tue Aug 20 2013 16:14:25 on localhost [Seed = 3785391586] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s404 geometric_solution 4.65839605 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 1023 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 0 -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 0.035397818056 0.381905235052 0 3 4 3 0132 2310 0132 0321 0 0 0 0 0 0 -1 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 1 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 0.452020681975 1.155908115057 2 0 0 2 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.877467496496 0.942362425112 4 1 0 1 2310 0321 0132 3201 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 0 1 -1 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 0.452020681975 1.155908115057 5 5 3 1 0132 2310 3201 0132 0 0 0 0 0 -1 0 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 1 0 -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 0.441850175814 0.977851920133 4 5 5 4 0132 3201 2310 3201 0 0 0 0 0 -1 1 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 1 -1 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 -0.811069950634 0.523538676263 ==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' : negation(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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t - 2006989634743396/68065003837*c_0101_4^22 + 1045067478316288/68065003837*c_0101_4^21 + 12050376421018639/68065003837*c_0101_4^20 - 30243262496389/61708979*c_0101_4^19 + 18578271096086166/68065003837*c_0101_4^18 + 77254333683287983/68065003837*c_0101_4^17 - 211837505261651782/68065003837*c_0101_4^16 + 215215534889805655/68065003837*c_0101_4^15 + 50166111995881221/68065003837*c_0101_4^14 - 468113442538883826/68065003837*c_0101_4^13 + 672173955035630689/68065003837*c_0101_4^12 - 371537600348954113/68065003837*c_0101_4^11 - 259123001785645731/68065003837*c_0101_4^10 + 667884019490620402/68065003837*c_0101_4^9 - 524858670974932999/68065003837*c_0101_4^8 + 75623735475483652/68065003837*c_0101_4^7 + 219285001296878752/68065003837*c_0101_4^6 - 10901034286233063/3582368623*c_0101_4^5 + 67064107835087786/68065003837*c_0101_4^4 + 16979733513982893/68065003837*c_0101_4^3 - 1235990850634046/3582368623*c_0101_4^2 + 8224725739514201/68065003837*c_0101_4 - 1033383796120452/68065003837, c_0011_0 - 1, c_0011_3 + 1140099673614472/68065003837*c_0101_4^22 - 558453001285456/68065003837*c_0101_4^21 - 6840571627769130/68065003837*c_0101_4^20 + 16991914829122/61708979*c_0101_4^19 - 10104477770832151/68065003837*c_0101_4^18 - 43919650876765396/68065003837*c_0101_4^17 + 118966031454099653/68065003837*c_0101_4^16 - 119438989865248302/68065003837*c_0101_4^15 - 30444608685827419/68065003837*c_0101_4^14 + 263798438100135833/68065003837*c_0101_4^13 - 375036876130252427/68065003837*c_0101_4^12 + 203692492362866996/68065003837*c_0101_4^11 + 148973769711292890/68065003837*c_0101_4^10 - 373773861538768347/68065003837*c_0101_4^9 + 290133235886410055/68065003837*c_0101_4^8 - 38935091034557857/68065003837*c_0101_4^7 - 123341006975411419/68065003837*c_0101_4^6 + 6033848711155872/3582368623*c_0101_4^5 - 36416638958252817/68065003837*c_0101_4^4 - 9748763637467052/68065003837*c_0101_4^3 + 683358152609903/3582368623*c_0101_4^2 - 4490909222745491/68065003837*c_0101_4 + 558429401291760/68065003837, c_0011_4 - 1098692649789584/68065003837*c_0101_4^22 + 538981351589828/68065003837*c_0101_4^21 + 6592450780243324/68065003837*c_0101_4^20 - 16378986460605/61708979*c_0101_4^19 + 9746683178827735/68065003837*c_0101_4^18 + 42325747590080618/68065003837*c_0101_4^17 - 114675928958184512/68065003837*c_0101_4^16 + 115158350679890515/68065003837*c_0101_4^15 + 29306323682228739/68065003837*c_0101_4^14 - 254270730737320187/68065003837*c_0101_4^13 + 361557306195287149/68065003837*c_0101_4^12 - 196432782345799022/68065003837*c_0101_4^11 - 143547482329569710/68065003837*c_0101_4^10 + 360323874296019673/68065003837*c_0101_4^9 - 279749786217435922/68065003837*c_0101_4^8 + 37584374556300571/68065003837*c_0101_4^7 + 118895914742925123/68065003837*c_0101_4^6 - 5817774358934998/3582368623*c_0101_4^5 + 35121446382943383/68065003837*c_0101_4^4 + 9395654914057448/68065003837*c_0101_4^3 - 658902972228369/3582368623*c_0101_4^2 + 4330599193251218/68065003837*c_0101_4 - 538467622384396/68065003837, c_0101_1 + 1093617931552568/68065003837*c_0101_4^22 - 535164930267112/68065003837*c_0101_4^21 - 6561757603226806/68065003837*c_0101_4^20 + 16296318781928/61708979*c_0101_4^19 - 9685068861777723/68065003837*c_0101_4^18 - 42131225469746115/68065003837*c_0101_4^17 + 114095300709847911/68065003837*c_0101_4^16 - 114522360297044365/68065003837*c_0101_4^15 - 29242435241202563/68065003837*c_0101_4^14 + 253017766479961548/68065003837*c_0101_4^13 - 359636455279278620/68065003837*c_0101_4^12 + 195253781697259937/68065003837*c_0101_4^11 + 142950568055672186/68065003837*c_0101_4^10 - 358453963988336043/68065003837*c_0101_4^9 + 278163302554020718/68065003837*c_0101_4^8 - 37261360326426648/68065003837*c_0101_4^7 - 118303956728055318/68065003837*c_0101_4^6 + 5785125500915447/3582368623*c_0101_4^5 - 34897226159941695/68065003837*c_0101_4^4 - 9356563880741205/68065003837*c_0101_4^3 + 655183354964509/3582368623*c_0101_4^2 - 4304032528044992/68065003837*c_0101_4 + 534955388880349/68065003837, c_0101_2 - 1394343003245052/68065003837*c_0101_4^22 + 693253274354004/68065003837*c_0101_4^21 + 8366609462322905/68065003837*c_0101_4^20 - 20836465366680/61708979*c_0101_4^19 + 12493296336078873/68065003837*c_0101_4^18 + 53695581540679733/68065003837*c_0101_4^17 - 145898573228979143/68065003837*c_0101_4^16 + 146925627190354313/68065003837*c_0101_4^15 + 36615416031711957/68065003837*c_0101_4^14 - 323223331008969384/68065003837*c_0101_4^13 + 460712661676523197/68065003837*c_0101_4^12 - 251392733241862231/68065003837*c_0101_4^11 - 181569054301325502/68065003837*c_0101_4^10 + 458778031295149260/68065003837*c_0101_4^9 - 357297419037915881/68065003837*c_0101_4^8 + 48917370649689707/68065003837*c_0101_4^7 + 151170865585825979/68065003837*c_0101_4^6 - 7428003015162630/3582368623*c_0101_4^5 + 45076679886617361/68065003837*c_0101_4^4 + 11876582677665093/68065003837*c_0101_4^3 - 841476104248050/3582368623*c_0101_4^2 + 5551055187667702/68065003837*c_0101_4 - 692771874989081/68065003837, c_0101_4^23 - c_0101_4^22 - 23/4*c_0101_4^21 + 39/2*c_0101_4^20 - 69/4*c_0101_4^19 - 34*c_0101_4^18 + 124*c_0101_4^17 - 158*c_0101_4^16 + 107/4*c_0101_4^15 + 245*c_0101_4^14 - 447*c_0101_4^13 + 693/2*c_0101_4^12 + 79/2*c_0101_4^11 - 789/2*c_0101_4^10 + 1687/4*c_0101_4^9 - 164*c_0101_4^8 - 363/4*c_0101_4^7 + 623/4*c_0101_4^6 - 333/4*c_0101_4^5 + 31/4*c_0101_4^4 + 63/4*c_0101_4^3 - 39/4*c_0101_4^2 + 5/2*c_0101_4 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB