Magma V2.19-8 Tue Aug 20 2013 23:46:41 on localhost [Seed = 374373430] Type ? for help. Type -D to quit. Loading file "K14n24770__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n24770 geometric_solution 11.68705875 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 -8 7 1 0 0 0 0 0 7 0 -7 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793159531323 0.933879977719 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 1 -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 0 -8 8 0 0 0 0 -1 1 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543672404361 0.443677647344 4 0 8 7 3012 0132 0132 2310 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 8 0 -8 0 0 0 0 0 1 0 -1 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337033570529 0.714693170137 8 4 9 0 0132 3012 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 7 0 -7 0 0 0 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553537951425 0.737731391124 3 10 0 2 1230 0132 0132 1230 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 7 0 -7 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290677050179 1.119998089491 8 1 11 10 1023 0132 0132 1023 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 -7 7 0 0 0 0 -8 8 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949256911072 0.827514323664 8 9 1 11 2103 2103 0132 0132 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 0 0 0 0 0.564669454822 0.644886493669 2 11 9 1 3201 2031 3120 0132 0 0 0 0 0 1 0 -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 -8 0 8 1 0 -1 0 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264588838579 1.121675573098 3 5 6 2 0132 1023 2103 0132 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 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462593199881 1.004711051603 10 6 7 3 2031 2103 3120 0132 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 0 0 0 0 0 0 -1 0 1 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453738973274 0.696719621018 11 4 9 5 1230 0132 1302 1023 0 0 0 0 0 0 0 0 -1 0 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 -1 1 0 7 0 0 -7 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488626124090 0.683767596049 7 10 6 5 1302 3012 0132 0132 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 -7 0 7 0 0 0 0 8 -7 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810148607318 0.894384095154 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_7']), 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_6'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0110_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : negation(d['c_0011_9']), '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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_0011_7'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_7']), 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : d['c_0101_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_9'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0011_10'], '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'], '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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], '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_0'], '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_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_7']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_7']})} 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_6, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_0101_9, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 2188260073823629881540936104375/7259251604708934159038112*c_0110_5^\ 17 - 2913575002119529041879709028219/1209875267451489026506352*c_01\ 10_5^16 - 78580590672903606401552747934659/725925160470893415903811\ 2*c_0110_5^15 - 32439803827330349898986456286323/907406450588616769\ 879764*c_0110_5^14 - 47748685090934128413510514436675/5584039695929\ 94935310624*c_0110_5^13 - 552324438182434494118643380603721/3629625\ 802354467079519056*c_0110_5^12 - 839545238959884867839287990119815/\ 3629625802354467079519056*c_0110_5^11 - 2414444353217915978291751021612085/7259251604708934159038112*c_0110\ _5^10 - 3338365527364610026504450570404139/725925160470893415903811\ 2*c_0110_5^9 - 3759052454270355785227556439369635/72592516047089341\ 59038112*c_0110_5^8 - 1227367908413370205912448354825673/2419750534\ 902978053012704*c_0110_5^7 - 910895346475088461526028049903733/1814\ 812901177233539759528*c_0110_5^6 - 31188110235453346427001534374687/69800496199124366913828*c_0110_5^5 - 1254216948900766106218946151133787/3629625802354467079519056*c_01\ 10_5^4 - 1446650329919988766755407336926483/72592516047089341590381\ 12*c_0110_5^3 - 107650865883672762491472866359025/90740645058861676\ 9879764*c_0110_5^2 - 421392952612149110974804434056809/725925160470\ 8934159038112*c_0110_5 - 194387886031080362789883533017169/72592516\ 04708934159038112, c_0011_0 - 1, c_0011_10 - 18164236148588046511/2071704225088166141278*c_0110_5^17 - 441434836201256384861/8286816900352664565112*c_0110_5^16 - 1570996373861233621799/8286816900352664565112*c_0110_5^15 - 1037421853537226602967/2071704225088166141278*c_0110_5^14 - 60327911374126089736/79680931734160236203*c_0110_5^13 - 3790522483268901522001/8286816900352664565112*c_0110_5^12 + 543544345948544482445/8286816900352664565112*c_0110_5^11 + 5557516530636533659811/8286816900352664565112*c_0110_5^10 + 3245332280909964823079/2071704225088166141278*c_0110_5^9 + 42050882330918854932795/8286816900352664565112*c_0110_5^8 + 25512007634580812809159/4143408450176332282556*c_0110_5^7 + 48351328953222785488553/8286816900352664565112*c_0110_5^6 + 4850744239016481028477/637447453873281889624*c_0110_5^5 + 44904577266469932803897/8286816900352664565112*c_0110_5^4 + 38691539878841610214247/8286816900352664565112*c_0110_5^3 + 8965116373780038086687/4143408450176332282556*c_0110_5^2 + 4081208668242662471817/4143408450176332282556*c_0110_5 - 4036579559722096782829/8286816900352664565112, c_0011_11 + 10197676104087722313/1035852112544083070639*c_0110_5^17 + 689187548579908107403/8286816900352664565112*c_0110_5^16 + 3131391384702297546585/8286816900352664565112*c_0110_5^15 + 1289740345973651368451/1035852112544083070639*c_0110_5^14 + 476019267079913124927/159361863468320472406*c_0110_5^13 + 43384323733577042926915/8286816900352664565112*c_0110_5^12 + 64436736252830634338533/8286816900352664565112*c_0110_5^11 + 95586143770269479242207/8286816900352664565112*c_0110_5^10 + 34419674194300131080291/2071704225088166141278*c_0110_5^9 + 157785058841971616411051/8286816900352664565112*c_0110_5^8 + 73189700030770157632971/4143408450176332282556*c_0110_5^7 + 157165290030137483296833/8286816900352664565112*c_0110_5^6 + 12345705596259703622189/637447453873281889624*c_0110_5^5 + 109569080035421770161393/8286816900352664565112*c_0110_5^4 + 68363682429132344324611/8286816900352664565112*c_0110_5^3 + 24808754112195127120063/4143408450176332282556*c_0110_5^2 + 16548761490355123588401/4143408450176332282556*c_0110_5 + 7605509002786845864947/8286816900352664565112, c_0011_6 + 69099948105661671/2071704225088166141278*c_0110_5^17 + 70927098274776363065/4143408450176332282556*c_0110_5^16 + 556200304815887594183/4143408450176332282556*c_0110_5^15 + 1221817549479821977149/2071704225088166141278*c_0110_5^14 + 303365177977704971851/159361863468320472406*c_0110_5^13 + 18247183131063308431639/4143408450176332282556*c_0110_5^12 + 30713817775023091538211/4143408450176332282556*c_0110_5^11 + 43953765056379440323283/4143408450176332282556*c_0110_5^10 + 15171508607845945576171/1035852112544083070639*c_0110_5^9 + 81532748683344406751601/4143408450176332282556*c_0110_5^8 + 43067853027851869444089/2071704225088166141278*c_0110_5^7 + 76966410135320044581423/4143408450176332282556*c_0110_5^6 + 5840860474818191609707/318723726936640944812*c_0110_5^5 + 60366528338405925347163/4143408450176332282556*c_0110_5^4 + 42765981168419133757727/4143408450176332282556*c_0110_5^3 + 11375157565734527460615/2071704225088166141278*c_0110_5^2 + 4246345095694313058867/2071704225088166141278*c_0110_5 + 1404796117244840268197/4143408450176332282556, c_0011_7 - 18158646225603016147/4143408450176332282556*c_0110_5^17 - 402026927366649085147/8286816900352664565112*c_0110_5^16 - 2270676779150157915527/8286816900352664565112*c_0110_5^15 - 1109773739421355174336/1035852112544083070639*c_0110_5^14 - 995396276738685606869/318723726936640944812*c_0110_5^13 - 57030664225277928453647/8286816900352664565112*c_0110_5^12 - 98547373234420395945601/8286816900352664565112*c_0110_5^11 - 144026576721025574502793/8286816900352664565112*c_0110_5^10 - 96960735016651579462841/4143408450176332282556*c_0110_5^9 - 242404121859429842555897/8286816900352664565112*c_0110_5^8 - 64681543459897324858537/2071704225088166141278*c_0110_5^7 - 232392214318591166528277/8286816900352664565112*c_0110_5^6 - 14708464495468009349025/637447453873281889624*c_0110_5^5 - 152401318787996283669689/8286816900352664565112*c_0110_5^4 - 97837219576517329191685/8286816900352664565112*c_0110_5^3 - 19531766233414030430711/4143408450176332282556*c_0110_5^2 - 760069308199915177642/1035852112544083070639*c_0110_5 + 298926410873670572455/8286816900352664565112, c_0011_9 - 32945549982214258677/8286816900352664565112*c_0110_5^17 - 131050824380603376753/8286816900352664565112*c_0110_5^16 - 103464022447786975385/4143408450176332282556*c_0110_5^15 + 31888777634714470819/2071704225088166141278*c_0110_5^14 + 229657555624488502951/637447453873281889624*c_0110_5^13 + 9620118057665117721327/8286816900352664565112*c_0110_5^12 + 13839642355253915528413/8286816900352664565112*c_0110_5^11 + 7998233774651276868363/4143408450176332282556*c_0110_5^10 + 24888069344826571372547/8286816900352664565112*c_0110_5^9 + 5805288313274830006750/1035852112544083070639*c_0110_5^8 + 34890911410515782999989/8286816900352664565112*c_0110_5^7 + 12348314273958354127419/8286816900352664565112*c_0110_5^6 + 3052455794028093729647/637447453873281889624*c_0110_5^5 + 36884002166430797428805/8286816900352664565112*c_0110_5^4 + 2327994799880597391541/2071704225088166141278*c_0110_5^3 - 134568559922017611773/4143408450176332282556*c_0110_5^2 + 7830908875434214908851/8286816900352664565112*c_0110_5 + 6537262604018498595143/4143408450176332282556, c_0101_0 + 56465352899978051053/8286816900352664565112*c_0110_5^17 + 84768674650188080658/1035852112544083070639*c_0110_5^16 + 3731027062007258894007/8286816900352664565112*c_0110_5^15 + 1745661648008463509570/1035852112544083070639*c_0110_5^14 + 2992911331533746856669/637447453873281889624*c_0110_5^13 + 9910498641959751039480/1035852112544083070639*c_0110_5^12 + 15542177096243786428033/1035852112544083070639*c_0110_5^11 + 173651084171327725466833/8286816900352664565112*c_0110_5^10 + 235886392657039167542245/8286816900352664565112*c_0110_5^9 + 296227910255272080410191/8286816900352664565112*c_0110_5^8 + 285293266162606189280885/8286816900352664565112*c_0110_5^7 + 124028088550133770043065/4143408450176332282556*c_0110_5^6 + 8694756750399130551153/318723726936640944812*c_0110_5^5 + 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233931091372310963555387/8286816900352664565112*c_0110_5^6 - 14979718509546530846415/637447453873281889624*c_0110_5^5 - 142271587617674671063295/8286816900352664565112*c_0110_5^4 - 97200845875698000826011/8286816900352664565112*c_0110_5^3 - 28154973978591026862853/4143408450176332282556*c_0110_5^2 - 2727535200684250539510/1035852112544083070639*c_0110_5 - 3004957595967559033279/8286816900352664565112, c_0101_2 + 4686964289469146175/1035852112544083070639*c_0110_5^17 + 261357934395290297869/4143408450176332282556*c_0110_5^16 + 1477533955664949714995/4143408450176332282556*c_0110_5^15 + 2777299201296685202555/2071704225088166141278*c_0110_5^14 + 598591315254692839023/159361863468320472406*c_0110_5^13 + 31333430569692309196035/4143408450176332282556*c_0110_5^12 + 47615336856724434699463/4143408450176332282556*c_0110_5^11 + 65579131500273383529795/4143408450176332282556*c_0110_5^10 + 22370925250299318205327/1035852112544083070639*c_0110_5^9 + 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