Magma V2.19-8 Tue Aug 20 2013 16:17:03 on localhost [Seed = 3069651556] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1305 geometric_solution 5.19173538 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 -1 1 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 0.636919501261 0.841656339928 0 3 2 4 0132 0132 1230 0132 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 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 1.048358437987 0.890901016060 3 0 4 1 2310 0132 3201 3012 0 0 0 0 0 1 -1 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 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 1.048358437987 0.890901016060 3 1 2 3 3201 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.278715211940 0.650286674193 2 5 1 5 2310 0132 0132 1023 0 0 0 0 0 1 -1 0 0 0 0 0 0 -1 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 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.345190589266 0.362489576440 6 4 6 4 0132 0132 1023 1023 0 0 0 0 0 -1 1 0 0 0 0 0 0 1 0 -1 -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 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894597806747 0.311463140031 5 6 5 6 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 -1 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 0.837064369649 0.177189849923 ==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_2_6' : d['1'], 's_1_6' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 53154100719018160370/16930031356489123961*c_0101_6^18 - 8114540394189932148/1539093759680829451*c_0101_6^17 - 305485885283228537920/16930031356489123961*c_0101_6^16 - 385289862313895120768/16930031356489123961*c_0101_6^15 + 383246456090286760311/16930031356489123961*c_0101_6^14 + 4419638206981406625933/16930031356489123961*c_0101_6^13 + 6114952496413915010822/16930031356489123961*c_0101_6^12 - 4080620338865955838584/16930031356489123961*c_0101_6^11 - 21339894444835219129748/16930031356489123961*c_0101_6^10 - 2209868109023331641953/1539093759680829451*c_0101_6^9 + 6740609517177489970919/16930031356489123961*c_0101_6^8 + 39187274297462580011620/16930031356489123961*c_0101_6^7 + 26235231849917337233148/16930031356489123961*c_0101_6^6 - 6176879103198556359714/16930031356489123961*c_0101_6^5 - 13928404939012169258925/16930031356489123961*c_0101_6^4 - 6025415014989794517315/16930031356489123961*c_0101_6^3 - 1298933560896665384536/16930031356489123961*c_0101_6^2 - 197962011829473966552/16930031356489123961*c_0101_6 - 204163550715873869298/16930031356489123961, c_0011_0 - 1, c_0011_4 - 156575731740476155/4617281279042488353*c_0101_6^18 + 29614250814891038/419752843549317123*c_0101_6^17 + 868490332886530696/4617281279042488353*c_0101_6^16 + 578012872956968912/4617281279042488353*c_0101_6^15 - 620566828776135729/1539093759680829451*c_0101_6^14 - 12807652153671912590/4617281279042488353*c_0101_6^13 - 3895854171552607767/1539093759680829451*c_0101_6^12 + 24721228705290545732/4617281279042488353*c_0101_6^11 + 61221479122885072615/4617281279042488353*c_0101_6^10 + 3097402178720950420/419752843549317123*c_0101_6^9 - 73591601293610969513/4617281279042488353*c_0101_6^8 - 38609391561183720480/1539093759680829451*c_0101_6^7 + 4490536837354214798/4617281279042488353*c_0101_6^6 + 94282997015976981776/4617281279042488353*c_0101_6^5 + 9645695133805065039/1539093759680829451*c_0101_6^4 - 35059509850501673539/4617281279042488353*c_0101_6^3 - 3378893740085069686/1539093759680829451*c_0101_6^2 + 1388020107709890811/1539093759680829451*c_0101_6 + 491880326881901329/4617281279042488353, c_0101_0 - 517531503545193491/419752843549317123*c_0101_6^18 + 916637564540899256/419752843549317123*c_0101_6^17 + 2890923400105813655/419752843549317123*c_0101_6^16 + 3504781646009219680/419752843549317123*c_0101_6^15 - 1367276608998842373/139917614516439041*c_0101_6^14 - 42739038147376357390/419752843549317123*c_0101_6^13 - 18582735542464570844/139917614516439041*c_0101_6^12 + 45031774731304428655/419752843549317123*c_0101_6^11 + 205188134996386832942/419752843549317123*c_0101_6^10 + 219525497606046255064/419752843549317123*c_0101_6^9 - 86946807595621515136/419752843549317123*c_0101_6^8 - 126381481719754663044/139917614516439041*c_0101_6^7 - 227472464739085558052/419752843549317123*c_0101_6^6 + 80664432610909502152/419752843549317123*c_0101_6^5 + 44415661479361663983/139917614516439041*c_0101_6^4 + 50579919893131160092/419752843549317123*c_0101_6^3 + 4030041933064524721/139917614516439041*c_0101_6^2 + 1592459185500443072/139917614516439041*c_0101_6 + 1983912473216891606/419752843549317123, c_0101_1 - 3789029588634568724/4617281279042488353*c_0101_6^18 + 567943720339076389/419752843549317123*c_0101_6^17 + 22115162281998199874/4617281279042488353*c_0101_6^16 + 28156642943662154821/4617281279042488353*c_0101_6^15 - 9388344200454856112/1539093759680829451*c_0101_6^14 - 317230931728640731861/4617281279042488353*c_0101_6^13 - 148559999341065804267/1539093759680829451*c_0101_6^12 + 292292103879893337679/4617281279042488353*c_0101_6^11 + 1563729977005397005283/4617281279042488353*c_0101_6^10 + 161154706975920231113/419752843549317123*c_0101_6^9 - 507176516700289968820/4617281279042488353*c_0101_6^8 - 973071046425460950111/1539093759680829451*c_0101_6^7 - 1968841435569965227760/4617281279042488353*c_0101_6^6 + 528735223256641566412/4617281279042488353*c_0101_6^5 + 364060082568871777526/1539093759680829451*c_0101_6^4 + 434685297039594127696/4617281279042488353*c_0101_6^3 + 34439137365403851611/1539093759680829451*c_0101_6^2 + 12801351425823037139/1539093759680829451*c_0101_6 + 14289621508114467662/4617281279042488353, c_0101_2 + 241224048321801253/419752843549317123*c_0101_6^18 - 422987011086191848/419752843549317123*c_0101_6^17 - 1396324918137483934/419752843549317123*c_0101_6^16 - 1548696763859851913/419752843549317123*c_0101_6^15 + 678081817642341270/139917614516439041*c_0101_6^14 + 20069183583513730394/419752843549317123*c_0101_6^13 + 8619260770978542018/139917614516439041*c_0101_6^12 - 23586306473481213734/419752843549317123*c_0101_6^11 - 97689514392998049085/419752843549317123*c_0101_6^10 - 97924203297831715250/419752843549317123*c_0101_6^9 + 50615362342133556608/419752843549317123*c_0101_6^8 + 61022424051235614022/139917614516439041*c_0101_6^7 + 93309712939779302938/419752843549317123*c_0101_6^6 - 55312162403290063382/419752843549317123*c_0101_6^5 - 20060560021850242879/139917614516439041*c_0101_6^4 - 14293230057160992704/419752843549317123*c_0101_6^3 - 1181179736031952444/139917614516439041*c_0101_6^2 - 769865892076429111/139917614516439041*c_0101_6 - 888182823743210758/419752843549317123, c_0101_5 + 13650284194563154/419752843549317123*c_0101_6^18 - 32561984133726916/419752843549317123*c_0101_6^17 - 70975181190420202/419752843549317123*c_0101_6^16 - 24088515675842297/419752843549317123*c_0101_6^15 + 70835125664319515/139917614516439041*c_0101_6^14 + 1086941986985244977/419752843549317123*c_0101_6^13 + 229828247409056852/139917614516439041*c_0101_6^12 - 2847126860122927736/419752843549317123*c_0101_6^11 - 5280494896278840982/419752843549317123*c_0101_6^10 - 1087094900562499352/419752843549317123*c_0101_6^9 + 8862905728193126261/419752843549317123*c_0101_6^8 + 3501111534785217310/139917614516439041*c_0101_6^7 - 3504339384984317963/419752843549317123*c_0101_6^6 - 10901436200002182011/419752843549317123*c_0101_6^5 - 593053324810887373/139917614516439041*c_0101_6^4 + 3415394562904011307/419752843549317123*c_0101_6^3 + 349148801426952623/139917614516439041*c_0101_6^2 - 70162712277333946/139917614516439041*c_0101_6 - 5842635686760127/419752843549317123, c_0101_6^19 - c_0101_6^18 - 7*c_0101_6^17 - 11*c_0101_6^16 + 3*c_0101_6^15 + 89*c_0101_6^14 + 171*c_0101_6^13 - 8*c_0101_6^12 - 469*c_0101_6^11 - 725*c_0101_6^10 - 139*c_0101_6^9 + 882*c_0101_6^8 + 994*c_0101_6^7 + 145*c_0101_6^6 - 396*c_0101_6^5 - 284*c_0101_6^4 - 87*c_0101_6^3 - 24*c_0101_6^2 - 10*c_0101_6 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB