Magma V2.19-8 Tue Aug 20 2013 16:14:36 on localhost [Seed = 3819077605] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s585 geometric_solution 5.05579618 oriented_manifold CS_known -0.0000000000000001 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 0.401048256472 0.280586787681 2 0 3 0 0132 2310 0132 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 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 0.924908593857 0.890629848288 1 4 3 5 0132 0132 3012 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 -1 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 1.254562951174 1.021176881325 5 2 4 1 1023 1230 1023 0132 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 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 1.254562951174 1.021176881325 4 2 3 4 3201 0132 1023 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 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 0.126021322164 0.676531839988 5 3 2 5 3201 1023 0132 2310 0 0 0 0 0 0 1 -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 0 -1 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 0.680046519493 0.473530047684 ==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_0011_1'], '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_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : 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_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), '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_0101_1']), 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 609997011285184155120511/535017378328353623890848*c_0101_3^12 - 718407445986686427704981/267508689164176811945424*c_0101_3^11 + 8656911940925278503419993/535017378328353623890848*c_0101_3^10 - 15429440854498724366507657/178339126109451207963616*c_0101_3^9 + 16909425877349163717700081/44584781527362801990904*c_0101_3^8 - 274977382924160186380206433/267508689164176811945424*c_0101_3^7 + 206390164906833457829507165/178339126109451207963616*c_0101_3^6 - 302766962633560909837924961/535017378328353623890848*c_0101_3^5 + 1290764328297682971278375753/535017378328353623890848*c_0101_3^4 - 2332744279121980049018104933/535017378328353623890848*c_0101_3^3 + 304356179367953021759780949/178339126109451207963616*c_0101_3^2 + 392169398826411949624600055/535017378328353623890848*c_0101_3 - 48140326129580966325315281/133754344582088405972712, c_0011_0 - 1, c_0011_1 + 78566023123917152285/5573097690920350248863*c_0101_3^12 + 254956827007567893476/5573097690920350248863*c_0101_3^11 - 876331761171648354170/5573097690920350248863*c_0101_3^10 + 5218573246075769932898/5573097690920350248863*c_0101_3^9 - 21634692052165855563245/5573097690920350248863*c_0101_3^8 + 52369576903670011880610/5573097690920350248863*c_0101_3^7 - 36517724094474088915019/5573097690920350248863*c_0101_3^6 + 14695124576279510490850/5573097690920350248863*c_0101_3^5 - 159163968725086380142697/5573097690920350248863*c_0101_3^4 + 160720985687549822217395/5573097690920350248863*c_0101_3^3 - 218670549712429981695/5573097690920350248863*c_0101_3^2 - 23798808330321073748259/5573097690920350248863*c_0101_3 + 6283959083351051630741/5573097690920350248863, c_0011_3 + 61598330104514554993/11146195381840700497726*c_0101_3^12 + 112265200008557501321/5573097690920350248863*c_0101_3^11 - 586130235871190862063/11146195381840700497726*c_0101_3^10 + 3898940374514740793407/11146195381840700497726*c_0101_3^9 - 7745587565390327735618/5573097690920350248863*c_0101_3^8 + 17813324906597933443179/5573097690920350248863*c_0101_3^7 - 17140830566021819389383/11146195381840700497726*c_0101_3^6 + 11550871242071581832341/11146195381840700497726*c_0101_3^5 - 124833068086400429732547/11146195381840700497726*c_0101_3^4 + 81538021195192138615075/11146195381840700497726*c_0101_3^3 + 14083067476551422182903/11146195381840700497726*c_0101_3^2 - 845132097123090260945/11146195381840700497726*c_0101_3 + 444693099548165662639/5573097690920350248863, c_0101_0 + 97400637916876682909/22292390763681400995452*c_0101_3^12 + 149464577074189619109/11146195381840700497726*c_0101_3^11 - 1118747355914091593711/22292390763681400995452*c_0101_3^10 + 6766031420063857532153/22292390763681400995452*c_0101_3^9 - 7026814056088760824256/5573097690920350248863*c_0101_3^8 + 35469739799953918198543/11146195381840700497726*c_0101_3^7 - 61326826575016289987845/22292390763681400995452*c_0101_3^6 + 34379225798575741301579/22292390763681400995452*c_0101_3^5 - 195788157752298662077051/22292390763681400995452*c_0101_3^4 + 230410171019943726461763/22292390763681400995452*c_0101_3^3 - 78180336274656187205629/22292390763681400995452*c_0101_3^2 - 36088317524451151985785/22292390763681400995452*c_0101_3 + 7581466800956973982374/5573097690920350248863, c_0101_1 + 15609011295425457088/5573097690920350248863*c_0101_3^12 + 2222170766725451658/5573097690920350248863*c_0101_3^11 - 346041874874084412535/5573097690920350248863*c_0101_3^10 + 1520058126374458726862/5573097690920350248863*c_0101_3^9 - 7388093706119345880791/5573097690920350248863*c_0101_3^8 + 22818911917305565105303/5573097690920350248863*c_0101_3^7 - 36045458462457495825996/5573097690920350248863*c_0101_3^6 + 17512797197836514753192/5573097690920350248863*c_0101_3^5 - 38274757234287653779366/5573097690920350248863*c_0101_3^4 + 128042456852831905809391/5573097690920350248863*c_0101_3^3 - 70209173368898095862586/5573097690920350248863*c_0101_3^2 - 20483407725324388497051/5573097690920350248863*c_0101_3 + 11647725885027545596387/5573097690920350248863, c_0101_3^13 + 2*c_0101_3^12 - 15*c_0101_3^11 + 81*c_0101_3^10 - 360*c_0101_3^9 + 1022*c_0101_3^8 - 1345*c_0101_3^7 + 883*c_0101_3^6 - 2323*c_0101_3^5 + 4599*c_0101_3^4 - 2925*c_0101_3^3 - 5*c_0101_3^2 + 480*c_0101_3 - 96 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB