Magma V2.19-8 Tue Aug 20 2013 16:16:08 on localhost [Seed = 2277907271] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0388 geometric_solution 4.45510593 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 3201 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 -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 1.084213826705 0.185518645435 0 0 3 3 0132 2310 2310 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.562866707428 0.319073366397 4 0 0 5 0132 0132 1023 0132 0 0 0 0 0 -1 0 1 -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 0 0 0 -1 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 0.900724477417 0.327968407274 3 1 1 3 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.787770712332 0.079594331899 2 5 6 5 0132 0321 0132 2031 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 0 0 0 1 0 -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 0.637880321297 0.588581065410 6 4 2 4 1023 1302 0132 0321 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 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 0.637880321297 0.588581065410 6 5 6 4 2031 1023 1302 0132 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 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 0.409822386843 0.607394257868 ==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' : 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_5']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 4*c_0101_4^2 - 9*c_0101_4, c_0011_0 - 1, c_0011_3 - c_0101_4, c_0011_5 - c_0101_4^2 - c_0101_4 + 1, c_0101_0 + c_0101_4^2 + c_0101_4 - 1, c_0101_1 - 1, c_0101_2 + c_0101_4, c_0101_4^3 + 2*c_0101_4^2 - c_0101_4 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t - 169305038272216289/345207923996505669*c_0101_4^20 - 1715138160085147286/345207923996505669*c_0101_4^19 - 7471426610977225691/345207923996505669*c_0101_4^18 - 18274942558613890711/345207923996505669*c_0101_4^17 - 25887864042756156856/345207923996505669*c_0101_4^16 - 13331717675846147308/345207923996505669*c_0101_4^15 + 9838279319672528242/115069307998835223*c_0101_4^14 + 87149580031174641422/345207923996505669*c_0101_4^13 + 122171523571357326358/345207923996505669*c_0101_4^12 + 9517319064796076507/31382538545136879*c_0101_4^11 + 4116745549933988054/38356435999611741*c_0101_4^10 - 49700187755129878919/345207923996505669*c_0101_4^9 - 117487871745899084954/345207923996505669*c_0101_4^8 - 140345456790684277897/345207923996505669*c_0101_4^7 - 116127738748002681137/345207923996505669*c_0101_4^6 - 2010090102058849216/10460846181712293*c_0101_4^5 - 628963786935737891/10460846181712293*c_0101_4^4 + 5490925221915140455/345207923996505669*c_0101_4^3 + 5053882769541056977/115069307998835223*c_0101_4^2 + 11013326986874205902/345207923996505669*c_0101_4 + 3925730025238434176/345207923996505669, c_0011_0 - 1, c_0011_3 - 119436445482377/1162316242412477*c_0101_4^20 - 1124341122829462/1162316242412477*c_0101_4^19 - 4417457365409517/1162316242412477*c_0101_4^18 - 9233610371212666/1162316242412477*c_0101_4^17 - 9477689314368572/1162316242412477*c_0101_4^16 + 2548677031891589/1162316242412477*c_0101_4^15 + 25405833293891561/1162316242412477*c_0101_4^14 + 43722579561419682/1162316242412477*c_0101_4^13 + 40851759512330127/1162316242412477*c_0101_4^12 + 16476075113505639/1162316242412477*c_0101_4^11 - 13882366444076811/1162316242412477*c_0101_4^10 - 35615018382026906/1162316242412477*c_0101_4^9 - 44070346516822319/1162316242412477*c_0101_4^8 - 39820443239531546/1162316242412477*c_0101_4^7 - 25698183365913982/1162316242412477*c_0101_4^6 - 8887301279690664/1162316242412477*c_0101_4^5 + 1314346957990682/1162316242412477*c_0101_4^4 + 4694844779750373/1162316242412477*c_0101_4^3 + 5549826564804677/1162316242412477*c_0101_4^2 + 2342940300313643/1162316242412477*c_0101_4 + 904129420769843/1162316242412477, c_0011_5 - 55435180309959/1162316242412477*c_0101_4^20 - 497037531152666/1162316242412477*c_0101_4^19 - 1841698522400784/1162316242412477*c_0101_4^18 - 3644302473795324/1162316242412477*c_0101_4^17 - 3700869742371704/1162316242412477*c_0101_4^16 + 446138829161202/1162316242412477*c_0101_4^15 + 8551613324725448/1162316242412477*c_0101_4^14 + 16269674497511362/1162316242412477*c_0101_4^13 + 18180115603095614/1162316242412477*c_0101_4^12 + 12045541509563969/1162316242412477*c_0101_4^11 + 181801290045379/1162316242412477*c_0101_4^10 - 12218574308553975/1162316242412477*c_0101_4^9 - 19946850093368613/1162316242412477*c_0101_4^8 - 20359366926638618/1162316242412477*c_0101_4^7 - 15055363674816849/1162316242412477*c_0101_4^6 - 7614948937831560/1162316242412477*c_0101_4^5 - 1510497211365758/1162316242412477*c_0101_4^4 + 1719160610348489/1162316242412477*c_0101_4^3 + 2269980370945525/1162316242412477*c_0101_4^2 + 376021463496950/1162316242412477*c_0101_4 + 1223942524985303/1162316242412477, c_0101_0 + 46708723942680/1162316242412477*c_0101_4^20 + 439022364384698/1162316242412477*c_0101_4^19 + 1765041614110320/1162316242412477*c_0101_4^18 + 4025510955156466/1162316242412477*c_0101_4^17 + 5497984535814720/1162316242412477*c_0101_4^16 + 3063384061353728/1162316242412477*c_0101_4^15 - 5339138808620921/1162316242412477*c_0101_4^14 - 17534182336307356/1162316242412477*c_0101_4^13 - 26897703355153707/1162316242412477*c_0101_4^12 - 26397971586050643/1162316242412477*c_0101_4^11 - 13900778404281694/1162316242412477*c_0101_4^10 + 5683365299442249/1162316242412477*c_0101_4^9 + 23597389087225065/1162316242412477*c_0101_4^8 + 32768873947679214/1162316242412477*c_0101_4^7 + 31337587712737971/1162316242412477*c_0101_4^6 + 21746216433535853/1162316242412477*c_0101_4^5 + 9786856375731827/1162316242412477*c_0101_4^4 + 180772358436890/1162316242412477*c_0101_4^3 - 4421965664754169/1162316242412477*c_0101_4^2 - 2877864862746742/1162316242412477*c_0101_4 - 2071637395656307/1162316242412477, c_0101_1 + 183399161701592/1162316242412477*c_0101_4^20 + 1794963359537300/1162316242412477*c_0101_4^19 + 7477041662979910/1162316242412477*c_0101_4^18 + 17212371211130053/1162316242412477*c_0101_4^17 + 21970662565068732/1162316242412477*c_0101_4^16 + 6227899756162987/1162316242412477*c_0101_4^15 - 35632845040620146/1162316242412477*c_0101_4^14 - 84144065257496597/1162316242412477*c_0101_4^13 - 104041452608088702/1162316242412477*c_0101_4^12 - 74170016236766595/1162316242412477*c_0101_4^11 - 6381981087792137/1162316242412477*c_0101_4^10 + 65625064688305104/1162316242412477*c_0101_4^9 + 110249493854828736/1162316242412477*c_0101_4^8 + 112619450894294365/1162316242412477*c_0101_4^7 + 79713607887806621/1162316242412477*c_0101_4^6 + 34780513918756730/1162316242412477*c_0101_4^5 + 2282030191308161/1162316242412477*c_0101_4^4 - 11361494530723404/1162316242412477*c_0101_4^3 - 13441930774554214/1162316242412477*c_0101_4^2 - 6255505900107947/1162316242412477*c_0101_4 - 2219053003986993/1162316242412477, c_0101_2 - 1879091636965/1162316242412477*c_0101_4^20 - 44976699774787/1162316242412477*c_0101_4^19 - 279257756039628/1162316242412477*c_0101_4^18 - 748364109086986/1162316242412477*c_0101_4^17 - 847472429726464/1162316242412477*c_0101_4^16 + 315358138186462/1162316242412477*c_0101_4^15 + 2508256070572977/1162316242412477*c_0101_4^14 + 3911354673884652/1162316242412477*c_0101_4^13 + 2813710352075981/1162316242412477*c_0101_4^12 - 253343852658204/1162316242412477*c_0101_4^11 - 3152466386420170/1162316242412477*c_0101_4^10 - 4477229782960311/1162316242412477*c_0101_4^9 - 4041927227959969/1162316242412477*c_0101_4^8 - 2059451288076817/1162316242412477*c_0101_4^7 + 551675668974768/1162316242412477*c_0101_4^6 + 1808002348282730/1162316242412477*c_0101_4^5 + 1565262370935957/1162316242412477*c_0101_4^4 + 1332636328462050/1162316242412477*c_0101_4^3 + 1234460787254655/1162316242412477*c_0101_4^2 + 451137682986230/1162316242412477*c_0101_4 - 725025902195672/1162316242412477, c_0101_4^21 + 10*c_0101_4^20 + 43*c_0101_4^19 + 104*c_0101_4^18 + 146*c_0101_4^17 + 74*c_0101_4^16 - 168*c_0101_4^15 - 493*c_0101_4^14 - 692*c_0101_4^13 - 596*c_0101_4^12 - 216*c_0101_4^11 + 274*c_0101_4^10 + 661*c_0101_4^9 + 800*c_0101_4^8 + 676*c_0101_4^7 + 399*c_0101_4^6 + 132*c_0101_4^5 - 32*c_0101_4^4 - 96*c_0101_4^3 - 70*c_0101_4^2 - 37*c_0101_4 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB