Magma V2.19-8 Tue Aug 20 2013 23:53:21 on localhost [Seed = 762005215] Type ? for help. Type -D to quit. Loading file "L13n5871__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5871 geometric_solution 11.19655784 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 -1 0 1 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 -4 1 3 0 0 -3 3 1 -1 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.890885511140 0.947301495084 0 4 4 5 0132 0132 1302 0132 1 1 1 0 0 0 0 0 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 1 -1 0 0 0 0 0 -3 3 0 0 -1 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459317083106 0.942076284891 0 0 7 6 3012 0132 0132 0132 1 1 1 0 0 1 -1 0 -1 0 1 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 4 -4 0 -3 0 3 0 -3 3 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120000173266 1.041807964574 8 9 10 0 0132 0132 0132 0132 1 1 1 1 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 1 -1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.977550641846 0.785903390487 1 1 9 10 2031 0132 3201 2031 1 1 0 1 0 0 0 0 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 -1 1 0 1 0 0 -1 3 -4 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581861189102 0.857618129235 11 11 1 8 0132 2310 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267364441175 0.873053304199 9 11 2 11 2031 3120 0132 1302 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 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 0.271228858882 1.436762291257 10 10 8 2 0132 1230 0132 0132 1 1 0 1 0 0 -1 1 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 -4 4 0 0 3 -3 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.009542138152 1.239547706382 3 9 5 7 0132 1302 1230 0132 1 1 1 1 0 -1 0 1 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 -4 0 4 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407782950925 0.484885419648 4 3 6 8 2310 0132 1302 2031 1 1 1 1 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 -3 0 -1 4 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649072999947 0.716659969240 7 4 7 3 0132 1302 3012 0132 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 0 0 0 0 1 0 -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 0.604976965058 0.485021752362 5 6 6 5 0132 3120 2031 3201 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 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 -0.496756138957 1.231919520775 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_6']), 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_0110_6'], 'c_1001_8' : negation(d['c_0101_4']), 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : negation(d['c_0011_3']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_0101_6'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0101_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : negation(d['c_0101_6']), 'c_1100_8' : d['c_0101_11'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_4']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_4, c_0101_6, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 19820711508404827197791221/11206906943482403465469*c_0110_6^16 - 533827446533257047983087117/11206906943482403465469*c_0110_6^15 - 1391706812576282939441279446/11206906943482403465469*c_0110_6^14 + 2933822208529311318709106989/11206906943482403465469*c_0110_6^13 + 9655581394471376227252227613/11206906943482403465469*c_0110_6^12 - 107592403422759873291293186/100963125616958589779*c_0110_6^11 - 29183368829254605299172967109/11206906943482403465469*c_0110_6^10 + 44118083191118217506553356234/11206906943482403465469*c_0110_6^9 + 8007687397769090978404460459/3735635647827467821823*c_0110_6^8 - 67386604365653870832131467043/11206906943482403465469*c_0110_6^7 + 728797022007765709431948947/589837207551705445551*c_0110_6^6 + 12239582081038831444974103664/3735635647827467821823*c_0110_6^5 - 21820939529093666707191883577/11206906943482403465469*c_0110_6^4 - 3021164230998042098924710025/11206906943482403465469*c_0110_6^3 + 4435400768212720418173897573/11206906943482403465469*c_0110_6^2 - 158596376471363612525082530/11206906943482403465469*c_0110_6 - 294382219847514337177212433/11206906943482403465469, c_0011_0 - 1, c_0011_10 + 6165167244351743/2133219075344051*c_0110_6^16 + 169484994512332552/2133219075344051*c_0110_6^15 + 527229445689475524/2133219075344051*c_0110_6^14 - 625170960640707069/2133219075344051*c_0110_6^13 - 3393438575787426615/2133219075344051*c_0110_6^12 + 1760760068484387164/2133219075344051*c_0110_6^11 + 10211194304365988400/2133219075344051*c_0110_6^10 - 7626656074234132666/2133219075344051*c_0110_6^9 - 12031890233570334282/2133219075344051*c_0110_6^8 + 13257449474562120661/2133219075344051*c_0110_6^7 + 3741862505465716996/2133219075344051*c_0110_6^6 - 8254972376313550723/2133219075344051*c_0110_6^5 + 1312295767048941277/2133219075344051*c_0110_6^4 + 1259064605146775276/2133219075344051*c_0110_6^3 - 205774915434206248/2133219075344051*c_0110_6^2 - 84248900668453322/2133219075344051*c_0110_6 - 4852303871192010/2133219075344051, c_0011_11 - 3907364318470785/4266438150688102*c_0110_6^16 - 55279384256848666/2133219075344051*c_0110_6^15 - 211880376455742201/2133219075344051*c_0110_6^14 + 36694008860085751/4266438150688102*c_0110_6^13 + 2133356922260009805/4266438150688102*c_0110_6^12 + 359684468085585538/2133219075344051*c_0110_6^11 - 5510627691393719597/4266438150688102*c_0110_6^10 - 11188248197894643/2133219075344051*c_0110_6^9 + 3200971224518466401/2133219075344051*c_0110_6^8 - 1814996800210587567/4266438150688102*c_0110_6^7 - 1306722571499756548/2133219075344051*c_0110_6^6 + 1000292185868613323/4266438150688102*c_0110_6^5 - 9396981882977189/4266438150688102*c_0110_6^4 + 300636420644286797/4266438150688102*c_0110_6^3 - 58176927534529467/4266438150688102*c_0110_6^2 - 29160620837309467/2133219075344051*c_0110_6 - 494600825341342/2133219075344051, c_0011_3 - 9147929176361757/2133219075344051*c_0110_6^16 - 255332641645118423/2133219075344051*c_0110_6^15 - 890002816377365427/2133219075344051*c_0110_6^14 + 544589983432951995/2133219075344051*c_0110_6^13 + 5199119188059896615/2133219075344051*c_0110_6^12 - 561957482260380616/2133219075344051*c_0110_6^11 - 15208258582234921333/2133219075344051*c_0110_6^10 + 5725084506533314186/2133219075344051*c_0110_6^9 + 20062148005227727041/2133219075344051*c_0110_6^8 - 13265570247870952881/2133219075344051*c_0110_6^7 - 10509177284779326140/2133219075344051*c_0110_6^6 + 10197199451942501124/2133219075344051*c_0110_6^5 + 1165174538904019115/2133219075344051*c_0110_6^4 - 2462958643091391263/2133219075344051*c_0110_6^3 + 10270863244850700/2133219075344051*c_0110_6^2 + 208331866774155530/2133219075344051*c_0110_6 + 13423940541206311/2133219075344051, c_0011_6 + 4818085354802904/2133219075344051*c_0110_6^16 + 268590343056689811/4266438150688102*c_0110_6^15 + 929337827397361883/4266438150688102*c_0110_6^14 - 273929810492681576/2133219075344051*c_0110_6^13 - 5199150328771086173/4266438150688102*c_0110_6^12 + 440209063540213560/2133219075344051*c_0110_6^11 + 14907201096151435739/4266438150688102*c_0110_6^10 - 7330323347765504495/4266438150688102*c_0110_6^9 - 18255954555608189881/4266438150688102*c_0110_6^8 + 7633332571709419296/2133219075344051*c_0110_6^7 + 7353372519365696263/4266438150688102*c_0110_6^6 - 10465310345927932591/4266438150688102*c_0110_6^5 + 675015132202804073/4266438150688102*c_0110_6^4 + 955731449064902809/2133219075344051*c_0110_6^3 - 100981547364776620/2133219075344051*c_0110_6^2 - 73355411802065122/2133219075344051*c_0110_6 - 4043999424131785/4266438150688102, c_0101_0 - 1, c_0101_10 - 13312124130488625/4266438150688102*c_0110_6^16 - 370336591030153213/4266438150688102*c_0110_6^15 - 1262769506201538159/4266438150688102*c_0110_6^14 + 859794127026760849/4266438150688102*c_0110_6^13 + 3643850441333874451/2133219075344051*c_0110_6^12 - 770672047342478566/2133219075344051*c_0110_6^11 - 10576938041131061273/2133219075344051*c_0110_6^10 + 10720973690821254811/4266438150688102*c_0110_6^9 + 26175013187210228227/4266438150688102*c_0110_6^8 - 21786020624958925087/4266438150688102*c_0110_6^7 - 10968909042886097991/4266438150688102*c_0110_6^6 + 7460221879968501481/2133219075344051*c_0110_6^5 - 274952413414043034/2133219075344051*c_0110_6^4 - 2802034170109466381/4266438150688102*c_0110_6^3 + 170879812042418283/4266438150688102*c_0110_6^2 + 115785059245422646/2133219075344051*c_0110_6 + 17069939229155825/4266438150688102, c_0101_11 + 11735593493343911/4266438150688102*c_0110_6^16 + 329354462468260509/4266438150688102*c_0110_6^15 + 1193106980094423635/4266438150688102*c_0110_6^14 - 488026822997160899/4266438150688102*c_0110_6^13 - 3301705493708166748/2133219075344051*c_0110_6^12 - 70086459499362630/2133219075344051*c_0110_6^11 + 9506277935183510131/2133219075344051*c_0110_6^10 - 5295996004785503685/4266438150688102*c_0110_6^9 - 25600015978739754831/4266438150688102*c_0110_6^8 + 14784501751463420267/4266438150688102*c_0110_6^7 + 14382495527402888727/4266438150688102*c_0110_6^6 - 6192295781416371413/2133219075344051*c_0110_6^5 - 1102222662579812388/2133219075344051*c_0110_6^4 + 3378467513502830709/4266438150688102*c_0110_6^3 + 32638487508771963/4266438150688102*c_0110_6^2 - 153457745427127374/2133219075344051*c_0110_6 - 22013957779652013/4266438150688102, c_0101_3 + 1051611778742197/2133219075344051*c_0110_6^16 + 29873669862619093/2133219075344051*c_0110_6^15 + 233891076508866699/4266438150688102*c_0110_6^14 - 9157640147543177/2133219075344051*c_0110_6^13 - 604464933481300275/2133219075344051*c_0110_6^12 - 322258016028662153/4266438150688102*c_0110_6^11 + 3571502746747332403/4266438150688102*c_0110_6^10 - 66814961058668174/2133219075344051*c_0110_6^9 - 5600378186707847075/4266438150688102*c_0110_6^8 + 957728175221636587/2133219075344051*c_0110_6^7 + 2187215964745748312/2133219075344051*c_0110_6^6 - 2440293966569041875/4266438150688102*c_0110_6^5 - 748119921620774231/2133219075344051*c_0110_6^4 + 1086070830934869307/4266438150688102*c_0110_6^3 + 165886511795141747/4266438150688102*c_0110_6^2 - 133874706736154329/4266438150688102*c_0110_6 - 13240518279838203/4266438150688102, c_0101_4 + 10983252599154647/2133219075344051*c_0110_6^16 + 607560332081354915/4266438150688102*c_0110_6^15 + 1983796718776312931/4266438150688102*c_0110_6^14 - 899100771133388645/2133219075344051*c_0110_6^13 - 11986027480345939403/4266438150688102*c_0110_6^12 + 2200969132024600724/2133219075344051*c_0110_6^11 + 35329589704883412539/4266438150688102*c_0110_6^10 - 22583635496233769827/4266438150688102*c_0110_6^9 - 42319735022748858445/4266438150688102*c_0110_6^8 + 20890782046271539957/2133219075344051*c_0110_6^7 + 14837097530297130255/4266438150688102*c_0110_6^6 - 26975255098555034037/4266438150688102*c_0110_6^5 + 3299606666300686627/4266438150688102*c_0110_6^4 + 2214796054211678085/2133219075344051*c_0110_6^3 - 306756462798982868/2133219075344051*c_0110_6^2 - 157604312470518444/2133219075344051*c_0110_6 - 13748607166515805/4266438150688102, c_0101_6 - 13312124130488625/4266438150688102*c_0110_6^16 - 370336591030153213/4266438150688102*c_0110_6^15 - 1262769506201538159/4266438150688102*c_0110_6^14 + 859794127026760849/4266438150688102*c_0110_6^13 + 3643850441333874451/2133219075344051*c_0110_6^12 - 770672047342478566/2133219075344051*c_0110_6^11 - 10576938041131061273/2133219075344051*c_0110_6^10 + 10720973690821254811/4266438150688102*c_0110_6^9 + 26175013187210228227/4266438150688102*c_0110_6^8 - 21786020624958925087/4266438150688102*c_0110_6^7 - 10968909042886097991/4266438150688102*c_0110_6^6 + 7460221879968501481/2133219075344051*c_0110_6^5 - 274952413414043034/2133219075344051*c_0110_6^4 - 2802034170109466381/4266438150688102*c_0110_6^3 + 170879812042418283/4266438150688102*c_0110_6^2 + 113651840170078595/2133219075344051*c_0110_6 + 17069939229155825/4266438150688102, c_0110_6^17 + 27*c_0110_6^16 + 72*c_0110_6^15 - 144*c_0110_6^14 - 500*c_0110_6^13 + 569*c_0110_6^12 + 1526*c_0110_6^11 - 2118*c_0110_6^10 - 1394*c_0110_6^9 + 3308*c_0110_6^8 - 429*c_0110_6^7 - 1901*c_0110_6^6 + 953*c_0110_6^5 + 232*c_0110_6^4 - 209*c_0110_6^3 - 8*c_0110_6^2 + 15*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB