Magma V2.19-8 Tue Aug 20 2013 16:14:49 on localhost [Seed = 1031577938] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s794 geometric_solution 5.33722977 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 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 0 0 0 0 0 0 0.379912829362 0.271512038828 2 0 3 0 0132 2310 0132 0132 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 -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 0.877787721146 0.973655902920 1 4 5 3 0132 0132 0132 2310 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 0 -1 0 1 1 0 -1 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 0.112532472870 0.916506346025 2 5 4 1 3201 0132 3201 0132 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.112532472870 0.916506346025 3 2 4 4 2310 0132 2031 1302 0 0 0 0 0 1 0 -1 0 0 1 -1 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 1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674401336409 1.296587071871 5 3 5 2 2310 0132 3201 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 0 0 0 -1 0 0 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.131980074792 1.074894854888 ==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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_4'], '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' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_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_1'], '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' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_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' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_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_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 3*c_0101_1^2 - c_0101_1 - 8, c_0011_0 - 1, c_0011_1 - c_0101_1^2 + 1, c_0011_3 + c_0101_1^2 - 1, c_0101_0 + c_0101_1, c_0101_1^3 - c_0101_1^2 - 2*c_0101_1 + 1, c_0101_4 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 64954147822343922670/1156565590667535181*c_0101_4^17 - 500088682482429018551/1156565590667535181*c_0101_4^16 - 1343552499683871295278/1156565590667535181*c_0101_4^15 - 765005985368291951623/1156565590667535181*c_0101_4^14 + 1791678597087044359294/1156565590667535181*c_0101_4^13 - 548575768757468771213/165223655809647883*c_0101_4^12 - 14614385641913183980624/1156565590667535181*c_0101_4^11 + 263125357987481608310/23603379401378269*c_0101_4^10 + 38026847194482517643506/1156565590667535181*c_0101_4^9 - 29418916104967082444899/1156565590667535181*c_0101_4^8 - 40061359613426970294230/1156565590667535181*c_0101_4^7 + 5393003428906769396313/165223655809647883*c_0101_4^6 + 17667458855139862012070/1156565590667535181*c_0101_4^5 - 7800966461471895571396/1156565590667535181*c_0101_4^4 - 8504579822812231800351/1156565590667535181*c_0101_4^3 - 39798272394995340011/165223655809647883*c_0101_4^2 + 1208587975040314720570/1156565590667535181*c_0101_4 + 260960825417302588218/1156565590667535181, c_0011_0 - 1, c_0011_1 + 8211063207652016399/1156565590667535181*c_0101_4^17 + 62869086660290688320/1156565590667535181*c_0101_4^16 + 167177029389212013942/1156565590667535181*c_0101_4^15 + 89651630895665365844/1156565590667535181*c_0101_4^14 - 230125816577264424646/1156565590667535181*c_0101_4^13 + 70780825493919844419/165223655809647883*c_0101_4^12 + 1826389525661121322408/1156565590667535181*c_0101_4^11 - 34844878381046522057/23603379401378269*c_0101_4^10 - 4732761919308307505539/1156565590667535181*c_0101_4^9 + 3921147054803730413553/1156565590667535181*c_0101_4^8 + 4892424873858678686422/1156565590667535181*c_0101_4^7 - 711774079882928912046/165223655809647883*c_0101_4^6 - 2013575409508370243546/1156565590667535181*c_0101_4^5 + 1070427128068230640086/1156565590667535181*c_0101_4^4 + 1023563574617281595438/1156565590667535181*c_0101_4^3 - 901854444248399027/165223655809647883*c_0101_4^2 - 153710051587899381807/1156565590667535181*c_0101_4 - 25061219369678571119/1156565590667535181, c_0011_3 + 567979303935940286/1156565590667535181*c_0101_4^17 + 4408429480247988023/1156565590667535181*c_0101_4^16 + 11869691260640368161/1156565590667535181*c_0101_4^15 + 6221585095325122675/1156565590667535181*c_0101_4^14 - 18669282860456614172/1156565590667535181*c_0101_4^13 + 4268947272865128647/165223655809647883*c_0101_4^12 + 132874683214847818038/1156565590667535181*c_0101_4^11 - 2320372052313001014/23603379401378269*c_0101_4^10 - 375071339776751432526/1156565590667535181*c_0101_4^9 + 257893239890680806493/1156565590667535181*c_0101_4^8 + 452921197303475393293/1156565590667535181*c_0101_4^7 - 50887040129254367520/165223655809647883*c_0101_4^6 - 261239654355849873512/1156565590667535181*c_0101_4^5 + 121507870414647542923/1156565590667535181*c_0101_4^4 + 114067464035758991644/1156565590667535181*c_0101_4^3 + 1168695917976038460/165223655809647883*c_0101_4^2 - 22634641167049356668/1156565590667535181*c_0101_4 - 5541577159237494251/1156565590667535181, c_0101_0 - 16861442419940589229/1156565590667535181*c_0101_4^17 - 129002389058397378922/1156565590667535181*c_0101_4^16 - 342685418089085225495/1156565590667535181*c_0101_4^15 - 183253270727134316936/1156565590667535181*c_0101_4^14 + 470269751099335244455/1156565590667535181*c_0101_4^13 - 146142976766030003969/165223655809647883*c_0101_4^12 - 3741674115965132861599/1156565590667535181*c_0101_4^11 + 71829573907107651570/23603379401378269*c_0101_4^10 + 9662945300899461925693/1156565590667535181*c_0101_4^9 - 8090195442001681336077/1156565590667535181*c_0101_4^8 - 9913757813288602250011/1156565590667535181*c_0101_4^7 + 1463887915828196033635/165223655809647883*c_0101_4^6 + 3985299301645137863206/1156565590667535181*c_0101_4^5 - 2164636595139902747687/1156565590667535181*c_0101_4^4 - 2045767696263199637102/1156565590667535181*c_0101_4^3 + 3396912950751954401/165223655809647883*c_0101_4^2 + 302060273049259018537/1156565590667535181*c_0101_4 + 48534947496032314363/1156565590667535181, c_0101_1 - 18688688650202349979/1156565590667535181*c_0101_4^17 - 143300357069029817469/1156565590667535181*c_0101_4^16 - 382207669076426684311/1156565590667535181*c_0101_4^15 - 209219229320752653335/1156565590667535181*c_0101_4^14 + 518683091389377415096/1156565590667535181*c_0101_4^13 - 160661339158305588429/165223655809647883*c_0101_4^12 - 4167795689434632882052/1156565590667535181*c_0101_4^11 + 78241195934887659501/23603379401378269*c_0101_4^10 + 10786689117328281639087/1156565590667535181*c_0101_4^9 - 8796372011958525443574/1156565590667535181*c_0101_4^8 - 11165155823247595552923/1156565590667535181*c_0101_4^7 + 1599891188583624610067/165223655809647883*c_0101_4^6 + 4633420230618063473686/1156565590667535181*c_0101_4^5 - 2357915244817731762928/1156565590667535181*c_0101_4^4 - 2314458922185672902231/1156565590667535181*c_0101_4^3 - 513311109257182073/165223655809647883*c_0101_4^2 + 340560427108008067753/1156565590667535181*c_0101_4 + 57461456226978644158/1156565590667535181, c_0101_4^18 + 8*c_0101_4^17 + 23*c_0101_4^16 + 18*c_0101_4^15 - 24*c_0101_4^14 + 51*c_0101_4^13 + 243*c_0101_4^12 - 131*c_0101_4^11 - 645*c_0101_4^10 + 279*c_0101_4^9 + 753*c_0101_4^8 - 401*c_0101_4^7 - 446*c_0101_4^6 + 44*c_0101_4^5 + 165*c_0101_4^4 + 41*c_0101_4^3 - 18*c_0101_4^2 - 9*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB