Magma V2.19-8 Tue Aug 20 2013 16:17:45 on localhost [Seed = 374835958] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1992 geometric_solution 5.55676713 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 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 1 -1 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.397195161297 1.659925763893 0 0 3 2 0132 3201 0132 0132 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 0 -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 0.260557029056 0.561924183942 4 5 1 4 0132 0132 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693049977391 0.435202122451 5 6 6 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 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 0.693049977391 0.435202122451 2 2 6 6 0132 2310 2031 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.489334304049 0.954914391011 5 2 5 3 2310 0132 3201 2310 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 0 0 1 0 -1 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681866618049 0.827695868196 3 3 4 4 2310 0132 2031 1302 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 1.489334304049 0.954914391011 ==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' : negation(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' : negation(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' : d['c_0101_4'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_4'], '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' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(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_2, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 862304351998805429729924252/2868947101734021644398535*c_0101_6^17 - 5089627744948011391210080061/2868947101734021644398535*c_0101_6^16 + 16897467401023478553737612921/2868947101734021644398535*c_0101_6^15 - 105037905453679327168693340758/2868947101734021644398535*c_0101_6\ ^14 + 222864266038696675060574010323/2868947101734021644398535*c_01\ 01_6^13 - 131593956504371921387706790269/2868947101734021644398535*\ c_0101_6^12 + 85626374768346775919689956749/28689471017340216443985\ 35*c_0101_6^11 + 30404547796016074876917964249/28689471017340216443\ 98535*c_0101_6^10 - 25512420163455583303376986542/28689471017340216\ 44398535*c_0101_6^9 - 37981161389830627506747790674/286894710173402\ 1644398535*c_0101_6^8 + 2562897901931524770788241347/28689471017340\ 21644398535*c_0101_6^7 - 101415459977491120316781664804/28689471017\ 34021644398535*c_0101_6^6 - 6996753198797188833903095610/5737894203\ 46804328879707*c_0101_6^5 - 20798211053108850975789467482/286894710\ 1734021644398535*c_0101_6^4 - 36774761821602996395949306422/2868947\ 101734021644398535*c_0101_6^3 + 7115449089500828105983776037/286894\ 7101734021644398535*c_0101_6^2 - 3999269743046916475234657269/28689\ 47101734021644398535*c_0101_6 - 6738291902131488047937719469/286894\ 7101734021644398535, c_0011_0 - 1, c_0011_2 + 12231803834122006268132/52162674576982211716337*c_0101_6^17 + 63618656260083246440797/52162674576982211716337*c_0101_6^16 - 285376880400633493067763/52162674576982211716337*c_0101_6^15 + 1685567368364059886856248/52162674576982211716337*c_0101_6^14 - 4311240883398098186881831/52162674576982211716337*c_0101_6^13 + 4726991518088206731311081/52162674576982211716337*c_0101_6^12 - 4041942421938632241947580/52162674576982211716337*c_0101_6^11 + 1827974037449627186411299/52162674576982211716337*c_0101_6^10 - 647479940468484405398567/52162674576982211716337*c_0101_6^9 + 865888147305236222099233/52162674576982211716337*c_0101_6^8 - 714376116414419872254039/52162674576982211716337*c_0101_6^7 + 1888350766082517665682054/52162674576982211716337*c_0101_6^6 - 648959118282867985280164/52162674576982211716337*c_0101_6^5 + 646681433655764032957634/52162674576982211716337*c_0101_6^4 + 279388772532009863249177/52162674576982211716337*c_0101_6^3 - 198612571163075635783591/52162674576982211716337*c_0101_6^2 + 229725690595479136373824/52162674576982211716337*c_0101_6 + 13368499735871144248524/52162674576982211716337, c_0101_0 - 14174766428281463529194/52162674576982211716337*c_0101_6^17 - 76641770890656844399145/52162674576982211716337*c_0101_6^16 + 315626143431761978946822/52162674576982211716337*c_0101_6^15 - 1883495005425920500636344/52162674576982211716337*c_0101_6^14 + 4599664461454269781194640/52162674576982211716337*c_0101_6^13 - 4459634255645472919682235/52162674576982211716337*c_0101_6^12 + 3666147453512070865206337/52162674576982211716337*c_0101_6^11 - 1393396598301280516060227/52162674576982211716337*c_0101_6^10 + 330146607346778916477984/52162674576982211716337*c_0101_6^9 - 865458181637462941760423/52162674576982211716337*c_0101_6^8 + 621032200749383354445627/52162674576982211716337*c_0101_6^7 - 1994974472970638780376256/52162674576982211716337*c_0101_6^6 + 515507430347263993168364/52162674576982211716337*c_0101_6^5 - 634766976471351509830251/52162674576982211716337*c_0101_6^4 - 301809852404328648339933/52162674576982211716337*c_0101_6^3 + 220090503014863398531759/52162674576982211716337*c_0101_6^2 - 196529617044486742904365/52162674576982211716337*c_0101_6 - 52824086192816629100068/52162674576982211716337, c_0101_1 - 21477160913026655077392/52162674576982211716337*c_0101_6^17 - 116334504821116648082684/52162674576982211716337*c_0101_6^16 + 475760314850040732246375/52162674576982211716337*c_0101_6^15 - 2855436039513443573540429/52162674576982211716337*c_0101_6^14 + 6976102230873060547710969/52162674576982211716337*c_0101_6^13 - 6887858891070501749220784/52162674576982211716337*c_0101_6^12 + 6050903205338451585131765/52162674576982211716337*c_0101_6^11 - 2791337350386019352277996/52162674576982211716337*c_0101_6^10 + 1152534824407470361774328/52162674576982211716337*c_0101_6^9 - 1606682393536881975138269/52162674576982211716337*c_0101_6^8 + 811109833516829552828744/52162674576982211716337*c_0101_6^7 - 2979403274995950092491626/52162674576982211716337*c_0101_6^6 + 665743956094292976646623/52162674576982211716337*c_0101_6^5 - 1088642315943793137263297/52162674576982211716337*c_0101_6^4 - 367047235118581689214703/52162674576982211716337*c_0101_6^3 + 272866914552255363393486/52162674576982211716337*c_0101_6^2 - 271573678498420307271622/52162674576982211716337*c_0101_6 - 2711256065948265800896/52162674576982211716337, c_0101_3 + 38965794897334882125734/52162674576982211716337*c_0101_6^17 + 213352493400713034453792/52162674576982211716337*c_0101_6^16 - 851395011433301112450887/52162674576982211716337*c_0101_6^15 + 5128210850617724951661893/52162674576982211716337*c_0101_6^14 - 12329054356958879930295583/52162674576982211716337*c_0101_6^13 + 11636919412738385838914124/52162674576982211716337*c_0101_6^12 - 9835358781691727287511080/52162674576982211716337*c_0101_6^11 + 3768518156195340895402744/52162674576982211716337*c_0101_6^10 - 1327489159792836806054376/52162674576982211716337*c_0101_6^9 + 2574982671731783923770209/52162674576982211716337*c_0101_6^8 - 1413292073831849041305837/52162674576982211716337*c_0101_6^7 + 5429043867143250595071562/52162674576982211716337*c_0101_6^6 - 830186630069621411198764/52162674576982211716337*c_0101_6^5 + 1746186915779779456305464/52162674576982211716337*c_0101_6^4 + 917889068115423587610422/52162674576982211716337*c_0101_6^3 - 488987106251315327834759/52162674576982211716337*c_0101_6^2 + 490163537502611057233366/52162674576982211716337*c_0101_6 + 88046877868003209813535/52162674576982211716337, c_0101_4 - c_0101_6, c_0101_6^18 + 6*c_0101_6^17 - 19*c_0101_6^16 + 120*c_0101_6^15 - 247*c_0101_6^14 + 130*c_0101_6^13 - 91*c_0101_6^12 - 38*c_0101_6^11 + 20*c_0101_6^10 + 50*c_0101_6^9 + 119*c_0101_6^7 + 51*c_0101_6^6 + 31*c_0101_6^5 + 44*c_0101_6^4 - 3*c_0101_6^3 + 4*c_0101_6^2 + 8*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB