Magma V2.19-8 Wed Aug 21 2013 00:56:54 on localhost [Seed = 206182103] Type ? for help. Type -D to quit. Loading file "L13n3073__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3073 geometric_solution 12.04595343 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 0 -1 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599534665052 0.936195158176 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 1 -1 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 -1 0 8 -7 0 -1 0 1 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784442313542 0.836032683975 8 0 9 4 0132 0132 0132 1023 1 1 0 1 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 -1 0 1 -1 0 0 1 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680009846723 0.768514920140 10 11 9 0 0132 0132 1023 0132 1 1 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.040734960269 0.741274677083 10 5 0 2 3120 1230 0132 1023 1 1 0 1 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 1 -1 0 0 1 -1 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.041058652473 0.970803908700 6 1 4 8 3012 0132 3012 1023 1 1 1 0 0 0 1 -1 0 0 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 7 -7 0 0 0 0 7 -7 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642038872475 0.553308279571 12 10 1 5 0132 0132 0132 1230 1 1 0 0 0 0 0 0 0 0 1 -1 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 0 0 7 -7 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.008113634679 0.798889660443 12 9 8 1 2103 1023 0213 0132 1 1 1 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 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.084769965311 0.871453394873 2 7 11 5 0132 0213 0132 1023 1 1 1 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 1 0 -8 7 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567297828408 0.448960898521 7 11 3 2 1023 0213 1023 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 8 0 -8 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217147598400 1.195602648264 3 6 12 4 0132 0132 0132 3120 1 1 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366716763338 1.242922670036 12 3 9 8 1023 0132 0213 0132 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 -8 8 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.444852711275 1.500553411129 6 11 7 10 0132 1023 2103 0132 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 0 0.272986620770 0.561750824143 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : d['c_0011_7'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_9'], 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_7'], 'c_0101_10' : d['c_0101_0'], '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_12' : 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_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_1001_2'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0110_5'], 'c_1100_6' : d['c_0110_5'], 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_2'], 'c_1100_10' : negation(d['c_0101_1']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0110_5'], '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'], 'c_1100_12' : negation(d['c_0101_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' : d['c_0011_7'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1100_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0101_9, c_0110_5, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 11695494422675713001/22846527678480941502*c_1100_0^14 + 64024536723450461596/11423263839240470751*c_1100_0^13 + 186099152218580389807/11423263839240470751*c_1100_0^12 + 79871848102262004283/7615509226160313834*c_1100_0^11 + 175218787784935691837/7615509226160313834*c_1100_0^10 - 724526650169732522219/22846527678480941502*c_1100_0^9 + 823936753863436544389/22846527678480941502*c_1100_0^8 - 661024994240613743387/11423263839240470751*c_1100_0^7 + 342786265431610921652/11423263839240470751*c_1100_0^6 - 467157304831959640141/22846527678480941502*c_1100_0^5 + 426382812635880250579/11423263839240470751*c_1100_0^4 - 159705482703887635363/22846527678480941502*c_1100_0^3 + 8656202422449989999/846167691795590426*c_1100_0^2 - 74393622344739857599/22846527678480941502*c_1100_0 - 56197745191184697865/11423263839240470751, c_0011_0 - 1, c_0011_10 + 1239994631211254/3211993971286025*c_1100_0^14 + 14511171586652368/3211993971286025*c_1100_0^13 + 10225203385228579/642398794257205*c_1100_0^12 + 72356214519218621/3211993971286025*c_1100_0^11 + 138596482722728769/3211993971286025*c_1100_0^10 + 2273059134755767/128479758851441*c_1100_0^9 + 163164214179420496/3211993971286025*c_1100_0^8 - 69282638372858623/3211993971286025*c_1100_0^7 - 2384510899737188/3211993971286025*c_1100_0^6 - 164306462859449032/3211993971286025*c_1100_0^5 - 81245219719397716/3211993971286025*c_1100_0^4 - 144254521095894389/3211993971286025*c_1100_0^3 - 55041079856057883/3211993971286025*c_1100_0^2 - 1215488387749869/128479758851441*c_1100_0 - 12646875155237291/3211993971286025, c_0011_4 - 101183208873958/642398794257205*c_1100_0^14 - 1215733065307476/642398794257205*c_1100_0^13 - 909016588867029/128479758851441*c_1100_0^12 - 7215040713784337/642398794257205*c_1100_0^11 - 12946267336947758/642398794257205*c_1100_0^10 - 1451430565755505/128479758851441*c_1100_0^9 - 13944209422823867/642398794257205*c_1100_0^8 + 3495796118450736/642398794257205*c_1100_0^7 + 1167519559418101/642398794257205*c_1100_0^6 + 16252513142788174/642398794257205*c_1100_0^5 + 8411657100283752/642398794257205*c_1100_0^4 + 14463146939165968/642398794257205*c_1100_0^3 + 4978308753315516/642398794257205*c_1100_0^2 + 806859776039289/128479758851441*c_1100_0 + 84751279082122/642398794257205, c_0011_7 + 63871236728733/642398794257205*c_1100_0^14 + 704068083844941/642398794257205*c_1100_0^13 + 417161726672505/128479758851441*c_1100_0^12 + 1455266283753232/642398794257205*c_1100_0^11 + 2780262142789003/642398794257205*c_1100_0^10 - 958425244172976/128479758851441*c_1100_0^9 + 1880691087018037/642398794257205*c_1100_0^8 - 10276125113305581/642398794257205*c_1100_0^7 + 368190789293049/642398794257205*c_1100_0^6 - 3520963588965159/642398794257205*c_1100_0^5 + 3729426427984278/642398794257205*c_1100_0^4 + 1003355550576167/642398794257205*c_1100_0^3 + 3323287799065649/642398794257205*c_1100_0^2 + 323587194667548/128479758851441*c_1100_0 - 701281032080942/642398794257205, c_0101_0 + 198658627937497/642398794257205*c_1100_0^14 + 2311941400538169/642398794257205*c_1100_0^13 + 1607693137402778/128479758851441*c_1100_0^12 + 11009360509372593/642398794257205*c_1100_0^11 + 21013232117706112/642398794257205*c_1100_0^10 + 1272849664853819/128479758851441*c_1100_0^9 + 24295130016165418/642398794257205*c_1100_0^8 - 14195466805894949/642398794257205*c_1100_0^7 + 2130782494955121/642398794257205*c_1100_0^6 - 26652094206382206/642398794257205*c_1100_0^5 - 8600266036659078/642398794257205*c_1100_0^4 - 21916704254244867/642398794257205*c_1100_0^3 - 6222100602880314/642398794257205*c_1100_0^2 - 1044845814936713/128479758851441*c_1100_0 - 2077265394655098/642398794257205, c_0101_1 - 1, c_0101_2 + 17176178494763/128479758851441*c_1100_0^14 + 193868470800448/128479758851441*c_1100_0^13 + 632038643887161/128479758851441*c_1100_0^12 + 798873608152388/128479758851441*c_1100_0^11 + 1859803568932215/128479758851441*c_1100_0^10 + 592070359298869/128479758851441*c_1100_0^9 + 2930972906320807/128479758851441*c_1100_0^8 - 1318626403682910/128479758851441*c_1100_0^7 + 1093553203644426/128479758851441*c_1100_0^6 - 2626795224340667/128479758851441*c_1100_0^5 - 717263204780618/128479758851441*c_1100_0^4 - 2606718441146174/128479758851441*c_1100_0^3 - 639794546935854/128479758851441*c_1100_0^2 - 804214485163981/128479758851441*c_1100_0 - 242215055539509/128479758851441, c_0101_3 + 33959296255344/642398794257205*c_1100_0^14 + 365356711883903/642398794257205*c_1100_0^13 + 211656707278323/128479758851441*c_1100_0^12 + 1060094857095301/642398794257205*c_1100_0^11 + 3435820020016964/642398794257205*c_1100_0^10 + 98321834351512/128479758851441*c_1100_0^9 + 7798203584650401/642398794257205*c_1100_0^8 - 2897823334484218/642398794257205*c_1100_0^7 + 6777526801428857/642398794257205*c_1100_0^6 - 5854863757131057/642398794257205*c_1100_0^5 + 194322479747504/642398794257205*c_1100_0^4 - 7119344484531379/642398794257205*c_1100_0^3 - 2207142841456658/642398794257205*c_1100_0^2 - 703682678559400/128479758851441*c_1100_0 - 1250180374869561/642398794257205, c_0101_5 + 66708370094723/642398794257205*c_1100_0^14 + 803300927209281/642398794257205*c_1100_0^13 + 612675055765880/128479758851441*c_1100_0^12 + 5387062201752327/642398794257205*c_1100_0^11 + 10727624450285858/642398794257205*c_1100_0^10 + 1619887110517244/128479758851441*c_1100_0^9 + 14098225379752642/642398794257205*c_1100_0^8 - 371585964471901/642398794257205*c_1100_0^7 + 2209866803481304/642398794257205*c_1100_0^6 - 13118551184814979/642398794257205*c_1100_0^5 - 9076501459310887/642398794257205*c_1100_0^4 - 15162951721573748/642398794257205*c_1100_0^3 - 6940782248772186/642398794257205*c_1100_0^2 - 1118802921209650/128479758851441*c_1100_0 - 1102738746864017/642398794257205, c_0101_9 + 72317248632333/642398794257205*c_1100_0^14 + 874389030671626/642398794257205*c_1100_0^13 + 668417477015516/128479758851441*c_1100_0^12 + 5718675766741242/642398794257205*c_1100_0^11 + 10657438711840733/642398794257205*c_1100_0^10 + 1372771740072034/128479758851441*c_1100_0^9 + 12132830488659357/642398794257205*c_1100_0^8 - 2022498092113246/642398794257205*c_1100_0^7 + 1098032807981334/642398794257205*c_1100_0^6 - 13023063830717764/642398794257205*c_1100_0^5 - 7941563278960012/642398794257205*c_1100_0^4 - 11710217925933208/642398794257205*c_1100_0^3 - 5328644934079951/642398794257205*c_1100_0^2 - 878876408100891/128479758851441*c_1100_0 - 952240431065012/642398794257205, c_0110_5 + 8430968636045/128479758851441*c_1100_0^14 + 93976959019773/128479758851441*c_1100_0^13 + 290578613160031/128479758851441*c_1100_0^12 + 270488150397308/128479758851441*c_1100_0^11 + 546904794500024/128479758851441*c_1100_0^10 - 377857207244109/128479758851441*c_1100_0^9 + 532021652139362/128479758851441*c_1100_0^8 - 1267211190021877/128479758851441*c_1100_0^7 + 165777582268029/128479758851441*c_1100_0^6 - 813136450571344/128479758851441*c_1100_0^5 + 262460964973511/128479758851441*c_1100_0^4 - 217381779062342/128479758851441*c_1100_0^3 + 262211827239928/128479758851441*c_1100_0^2 + 53072156692917/128479758851441*c_1100_0 - 33959296255344/128479758851441, c_1001_2 + 14392426942359/128479758851441*c_1100_0^14 + 180234514034695/128479758851441*c_1100_0^13 + 738275591600437/128479758851441*c_1100_0^12 + 1399526884296193/128479758851441*c_1100_0^11 + 2501664265958624/128479758851441*c_1100_0^10 + 2054294248991812/128479758851441*c_1100_0^9 + 2560971282066494/128479758851441*c_1100_0^8 + 90355933646468/128479758851441*c_1100_0^7 - 549876545673470/128479758851441*c_1100_0^6 - 2809363509643116/128479758851441*c_1100_0^5 - 2410784224613424/128479758851441*c_1100_0^4 - 2609557261411379/128479758851441*c_1100_0^3 - 1537716348250748/128479758851441*c_1100_0^2 - 736766963106463/128479758851441*c_1100_0 - 198658627937497/128479758851441, c_1100_0^15 + 12*c_1100_0^14 + 45*c_1100_0^13 + 74*c_1100_0^12 + 141*c_1100_0^11 + 95*c_1100_0^10 + 174*c_1100_0^9 - 7*c_1100_0^8 + 13*c_1100_0^7 - 148*c_1100_0^6 - 114*c_1100_0^5 - 171*c_1100_0^4 - 97*c_1100_0^3 - 65*c_1100_0^2 - 29*c_1100_0 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.410 Total time: 0.610 seconds, Total memory usage: 32.09MB