Magma V2.19-8 Tue Aug 20 2013 16:15:49 on localhost [Seed = 2496989374] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0033 geometric_solution 3.60137947 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 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 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 3.492717261158 0.266418342926 0 1 1 0 0132 3201 2310 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 -0.533916911185 0.020333588287 0 3 3 0 3201 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 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 -0.771612447132 0.274622178602 2 2 4 4 2310 0132 0132 3201 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 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 0.349380229984 0.243006619254 5 3 6 3 0132 2310 0132 0132 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 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 0.968938642392 0.516865961854 4 6 6 6 0132 0213 3012 1230 0 0 0 0 0 1 -1 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.978395194823 1.004191902737 5 5 5 4 3012 1230 0213 0132 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 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 0.978395194823 1.004191902737 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), '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_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), '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_0'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 34957890660712423880466/34195261687724515364555*c_0101_3^17 + 16241393650714329257441/6839052337544903072911*c_0101_3^16 - 932757815762712223130304/34195261687724515364555*c_0101_3^15 - 3400861841706735399313371/34195261687724515364555*c_0101_3^14 + 6697521080270485439857109/34195261687724515364555*c_0101_3^13 + 35435094712989571340756056/34195261687724515364555*c_0101_3^12 - 19159429130074605553645682/34195261687724515364555*c_0101_3^11 - 29605954904146669381645218/6839052337544903072911*c_0101_3^10 + 27068569356975075920398852/34195261687724515364555*c_0101_3^9 + 299494464275928113269175962/34195261687724515364555*c_0101_3^8 - 30148520022411186770539673/34195261687724515364555*c_0101_3^7 - 304385082451295831565065189/34195261687724515364555*c_0101_3^6 + 16042952034014305816829469/34195261687724515364555*c_0101_3^5 + 32684121517217203203973853/6839052337544903072911*c_0101_3^4 + 1439532579325892306275123/6839052337544903072911*c_0101_3^3 - 49887184929592855552030462/34195261687724515364555*c_0101_3^2 - 4536916902912512760853392/34195261687724515364555*c_0101_3 + 7144007507106491518876482/34195261687724515364555, c_0011_0 - 1, c_0011_2 - 3358661907202669353301/6839052337544903072911*c_0101_3^17 - 1453658911108027132769/6839052337544903072911*c_0101_3^16 + 79746473561930938260911/6839052337544903072911*c_0101_3^15 + 172194470881025274918165/6839052337544903072911*c_0101_3^14 - 672193068954197008853491/6839052337544903072911*c_0101_3^13 - 1526863879789292346905424/6839052337544903072911*c_0101_3^12 + 2199137806442883944025405/6839052337544903072911*c_0101_3^11 + 4821432123648229269858362/6839052337544903072911*c_0101_3^10 - 3395742453947269816221013/6839052337544903072911*c_0101_3^9 - 6660302714041191779528789/6839052337544903072911*c_0101_3^8 + 2566431894230308754656188/6839052337544903072911*c_0101_3^7 + 4665340313443131698597516/6839052337544903072911*c_0101_3^6 - 719961892290228450229262/6839052337544903072911*c_0101_3^5 - 1790756637965253721580554/6839052337544903072911*c_0101_3^4 - 27609280418368896835409/6839052337544903072911*c_0101_3^3 + 339767861744288342299402/6839052337544903072911*c_0101_3^2 + 8350190703222736718415/6839052337544903072911*c_0101_3 - 20212251499656943540443/6839052337544903072911, c_0011_4 - 1729757254197398357508/6839052337544903072911*c_0101_3^17 - 1020836238437450603144/6839052337544903072911*c_0101_3^16 + 40948752496609261654597/6839052337544903072911*c_0101_3^15 + 95067320964363128285980/6839052337544903072911*c_0101_3^14 - 332129007606067763389268/6839052337544903072911*c_0101_3^13 - 838807674070064441985187/6839052337544903072911*c_0101_3^12 + 1010940083410021173414927/6839052337544903072911*c_0101_3^11 + 2642246999995583315112103/6839052337544903072911*c_0101_3^10 - 1381675195735694458308775/6839052337544903072911*c_0101_3^9 - 3633348092963687557164531/6839052337544903072911*c_0101_3^8 + 860014465706275329649858/6839052337544903072911*c_0101_3^7 + 2486275466332168562782611/6839052337544903072911*c_0101_3^6 - 96312064199776674864552/6839052337544903072911*c_0101_3^5 - 896024808353881074474875/6839052337544903072911*c_0101_3^4 - 97720022557798023610249/6839052337544903072911*c_0101_3^3 + 163708048664838158106300/6839052337544903072911*c_0101_3^2 + 12644135162398166970119/6839052337544903072911*c_0101_3 - 11109768526398679752433/6839052337544903072911, c_0011_6 + 123897149851444800775/6839052337544903072911*c_0101_3^17 - 221178530430327406602/6839052337544903072911*c_0101_3^16 - 2987276992427652924667/6839052337544903072911*c_0101_3^15 + 85529492783238199908/6839052337544903072911*c_0101_3^14 + 37101659249759120299545/6839052337544903072911*c_0101_3^13 + 290735605895370392834/6839052337544903072911*c_0101_3^12 - 185576881992804065157234/6839052337544903072911*c_0101_3^11 + 13323419750927321176480/6839052337544903072911*c_0101_3^10 + 425220041981957447685240/6839052337544903072911*c_0101_3^9 - 71064517392368907868042/6839052337544903072911*c_0101_3^8 - 443083681755947914985613/6839052337544903072911*c_0101_3^7 + 84408010930200372056692/6839052337544903072911*c_0101_3^6 + 225991349349495971382295/6839052337544903072911*c_0101_3^5 - 10082793020913987421143/6839052337544903072911*c_0101_3^4 - 52384720370215551897239/6839052337544903072911*c_0101_3^3 - 11666309918489855801481/6839052337544903072911*c_0101_3^2 + 824551651774850024769/6839052337544903072911*c_0101_3 + 1886207329691413895653/6839052337544903072911, c_0101_0 - 36931897889849113954/6839052337544903072911*c_0101_3^17 + 254326845608072848353/6839052337544903072911*c_0101_3^16 + 791521490742035724959/6839052337544903072911*c_0101_3^15 - 4585632940338851918165/6839052337544903072911*c_0101_3^14 - 16493643544280277243216/6839052337544903072911*c_0101_3^13 + 47076619127739262424719/6839052337544903072911*c_0101_3^12 + 106648716783121122235444/6839052337544903072911*c_0101_3^11 - 208719471849688163530396/6839052337544903072911*c_0101_3^10 - 295343214682976051227034/6839052337544903072911*c_0101_3^9 + 455051411331383903210743/6839052337544903072911*c_0101_3^8 + 381473189688386653203483/6839052337544903072911*c_0101_3^7 - 470670927121319977911281/6839052337544903072911*c_0101_3^6 - 289452200652568609927294/6839052337544903072911*c_0101_3^5 + 219100862576112153333393/6839052337544903072911*c_0101_3^4 + 150674487441558469675441/6839052337544903072911*c_0101_3^3 - 47797840707990259755782/6839052337544903072911*c_0101_3^2 - 35507923987500614043837/6839052337544903072911*c_0101_3 + 4359912351687339734876/6839052337544903072911, c_0101_1 - 1857428492541501871556/6839052337544903072911*c_0101_3^17 - 1374577807397198147440/6839052337544903072911*c_0101_3^16 + 44050617089711125377782/6839052337544903072911*c_0101_3^15 + 108852448505700587749831/6839052337544903072911*c_0101_3^14 - 347157730829588348313879/6839052337544903072911*c_0101_3^13 - 968391678836153156109846/6839052337544903072911*c_0101_3^12 + 996963058626876158156141/6839052337544903072911*c_0101_3^11 + 3127664232872124861050442/6839052337544903072911*c_0101_3^10 - 1196438329180926562343359/6839052337544903072911*c_0101_3^9 - 4539168772324947018895969/6839052337544903072911*c_0101_3^8 + 518541650115454923551501/6839052337544903072911*c_0101_3^7 + 3400316952443528575883827/6839052337544903072911*c_0101_3^6 + 189268827053750850287343/6839052337544903072911*c_0101_3^5 - 1369412160679715583560377/6839052337544903072911*c_0101_3^4 - 225215812694093141513668/6839052337544903072911*c_0101_3^3 + 271720934898715294810532/6839052337544903072911*c_0101_3^2 + 34963086602153710208349/6839052337544903072911*c_0101_3 - 21779991243307923608052/6839052337544903072911, c_0101_3^18 - 24*c_0101_3^16 - 41*c_0101_3^15 + 224*c_0101_3^14 + 371*c_0101_3^13 - 867*c_0101_3^12 - 1180*c_0101_3^11 + 1692*c_0101_3^10 + 1637*c_0101_3^9 - 1738*c_0101_3^8 - 1189*c_0101_3^7 + 934*c_0101_3^6 + 530*c_0101_3^5 - 285*c_0101_3^4 - 137*c_0101_3^3 + 58*c_0101_3^2 + 12*c_0101_3 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB