Magma V2.19-8 Tue Aug 20 2013 23:39:24 on localhost [Seed = 1916016170] Type ? for help. Type -D to quit. Loading file "K13n3547__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3547 geometric_solution 9.34718377 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642368120866 1.282545752230 0 5 6 4 0132 0132 0132 0321 0 0 0 0 0 0 0 0 1 0 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 0 0 -4 0 0 4 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.090982593917 1.067686954309 3 0 7 5 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.737414506769 0.474669336328 2 8 9 0 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.237477112446 1.105244114023 7 1 0 10 0321 0321 0132 0132 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 0 0 0 -4 0 4 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391868994803 0.611346227859 9 1 10 2 0213 0132 0213 0213 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482841580307 0.036088727485 8 9 7 1 2103 2103 0213 0132 0 0 0 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 0 0 0 0 0 0 0 -5 0 0 5 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837029893774 0.551530142016 4 6 8 2 0321 0213 2031 0132 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 0 -1 1 -4 0 4 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394082886064 0.587731073510 10 3 6 7 0321 0132 2103 1302 0 0 0 0 0 0 -1 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 -1 5 -4 0 0 0 0 -1 0 0 1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719304337114 1.275817921829 5 6 10 3 0213 2103 0132 0132 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 -5 0 5 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 -0.167809288038 0.633409214469 8 5 4 9 0321 0213 0132 0132 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 5 0 0 -5 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714358256703 1.081397435562 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_6'], 'c_1010_10' : d['c_0011_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_7']), '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_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_1100_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_1'], 'c_1100_10' : d['c_1100_0'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : negation(d['c_1001_1']), '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_10'], 'c_0011_8' : negation(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' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : d['c_0011_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : negation(d['c_0011_4']), 'c_1100_8' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0011_7, c_0101_1, c_0101_3, c_1001_1, c_1001_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 78312411956369933306/42873891140336739875*c_1100_0^11 - 4362078879997556027547/2615307359560541132375*c_1100_0^10 + 3936415982840200483642/523061471912108226475*c_1100_0^9 - 66697315654945584149526/2615307359560541132375*c_1100_0^8 + 95695750060430176140509/2615307359560541132375*c_1100_0^7 - 26109270086938097927813/523061471912108226475*c_1100_0^6 + 78817516079642385409848/2615307359560541132375*c_1100_0^5 - 52132723248904334134387/2615307359560541132375*c_1100_0^4 - 49925602000090598037076/2615307359560541132375*c_1100_0^3 + 10490386936539864143287/523061471912108226475*c_1100_0^2 - 85536078708017368729629/2615307359560541132375*c_1100_0 + 6891421844865633676147/523061471912108226475, c_0011_0 - 1, c_0011_10 - 348370851449451466/244993663659067085*c_1100_0^11 + 712314625080846933/244993663659067085*c_1100_0^10 - 301006201889547683/48998732731813417*c_1100_0^9 + 224027983005678222/34999094808438155*c_1100_0^8 - 221019037945284373/34999094808438155*c_1100_0^7 - 480358598218056/6999818961687631*c_1100_0^6 + 48553199185679884/34999094808438155*c_1100_0^5 - 96599658194258378/12894403350477215*c_1100_0^4 + 673738490915866699/244993663659067085*c_1100_0^3 - 155883253330682589/48998732731813417*c_1100_0^2 - 602666327190497989/244993663659067085*c_1100_0 + 113333143097752167/48998732731813417, c_0011_4 + 22961242521954459/48998732731813417*c_1100_0^11 - 51994155259495443/48998732731813417*c_1100_0^10 + 125653388740282103/48998732731813417*c_1100_0^9 - 156160149796874147/48998732731813417*c_1100_0^8 + 202955774749677274/48998732731813417*c_1100_0^7 - 115122939173945971/48998732731813417*c_1100_0^6 + 91091941936743236/48998732731813417*c_1100_0^5 + 74996451077630091/48998732731813417*c_1100_0^4 - 36335996031982519/48998732731813417*c_1100_0^3 + 162602322719022818/48998732731813417*c_1100_0^2 - 8718330980705183/48998732731813417*c_1100_0 + 32868198002561007/48998732731813417, c_0011_6 - 205858780041598478/244993663659067085*c_1100_0^11 + 48932261368390587/34999094808438155*c_1100_0^10 - 6552887415994834/2578880670095443*c_1100_0^9 + 340984617184132087/244993663659067085*c_1100_0^8 - 110116420213820378/244993663659067085*c_1100_0^7 - 9395968370059734/2578880670095443*c_1100_0^6 + 728633801039413799/244993663659067085*c_1100_0^5 - 1258930104419099111/244993663659067085*c_1100_0^4 + 88806354216610432/244993663659067085*c_1100_0^3 - 22146809557147188/48998732731813417*c_1100_0^2 - 596028644426139257/244993663659067085*c_1100_0 + 2791316118521975/2578880670095443, c_0011_7 + 35265806324027989/6999818961687631*c_1100_0^11 - 72359538543722033/6999818961687631*c_1100_0^10 + 151092785581095827/6999818961687631*c_1100_0^9 - 152042694632322695/6999818961687631*c_1100_0^8 + 156610241383091849/6999818961687631*c_1100_0^7 - 1795985637985578/6999818961687631*c_1100_0^6 - 27461748067696003/6999818961687631*c_1100_0^5 + 184883674164835222/6999818961687631*c_1100_0^4 - 56928405642796194/6999818961687631*c_1100_0^3 + 89701431009838356/6999818961687631*c_1100_0^2 + 61993797934366882/6999818961687631*c_1100_0 - 36539617452385772/6999818961687631, c_0101_1 - 376417367028362724/244993663659067085*c_1100_0^11 + 776922978931357187/244993663659067085*c_1100_0^10 - 44804213839738640/6999818961687631*c_1100_0^9 + 1485198908304862031/244993663659067085*c_1100_0^8 - 1315046665551923419/244993663659067085*c_1100_0^7 - 88037997523574911/48998732731813417*c_1100_0^6 + 863924754978496947/244993663659067085*c_1100_0^5 - 2258866870910445438/244993663659067085*c_1100_0^4 + 729435847117061531/244993663659067085*c_1100_0^3 - 116355563972157794/48998732731813417*c_1100_0^2 - 913194353854315471/244993663659067085*c_1100_0 + 133245479542774959/48998732731813417, c_0101_3 - 584002563434668169/244993663659067085*c_1100_0^11 + 1069521995587335257/244993663659067085*c_1100_0^10 - 457790285369312213/48998732731813417*c_1100_0^9 + 272068887357075048/34999094808438155*c_1100_0^8 - 250555866863681282/34999094808438155*c_1100_0^7 - 35194830733626341/6999818961687631*c_1100_0^6 + 175036995433503351/34999094808438155*c_1100_0^5 - 3679788669628949888/244993663659067085*c_1100_0^4 + 599442176267105786/244993663659067085*c_1100_0^3 - 259926334830019216/48998732731813417*c_1100_0^2 - 1770226018084665331/244993663659067085*c_1100_0 + 163342119529859779/48998732731813417, c_1001_1 - 181184782241907062/244993663659067085*c_1100_0^11 + 46722237198061358/34999094808438155*c_1100_0^10 - 154744837799432828/48998732731813417*c_1100_0^9 + 732130683223031703/244993663659067085*c_1100_0^8 - 884664878577684042/244993663659067085*c_1100_0^7 + 20361375781537103/48998732731813417*c_1100_0^6 - 203062829264856139/244993663659067085*c_1100_0^5 - 41501854953892196/12894403350477215*c_1100_0^4 - 29040719674338312/244993663659067085*c_1100_0^3 - 105372355464001083/48998732731813417*c_1100_0^2 - 320577770688713758/244993663659067085*c_1100_0 - 3526393037456089/48998732731813417, c_1001_10 + 411717560083196956/244993663659067085*c_1100_0^11 - 97864522736781174/34999094808438155*c_1100_0^10 + 13105774831989668/2578880670095443*c_1100_0^9 - 681969234368264174/244993663659067085*c_1100_0^8 + 220232840427640756/244993663659067085*c_1100_0^7 + 18791936740119468/2578880670095443*c_1100_0^6 - 1457267602078827598/244993663659067085*c_1100_0^5 + 2517860208838198222/244993663659067085*c_1100_0^4 - 177612708433220864/244993663659067085*c_1100_0^3 + 44293619114294376/48998732731813417*c_1100_0^2 + 1437050952511345599/244993663659067085*c_1100_0 - 5582632237043950/2578880670095443, c_1001_2 + 196792523696879402/244993663659067085*c_1100_0^11 - 330396545917594221/244993663659067085*c_1100_0^10 + 18841991521997433/6999818961687631*c_1100_0^9 - 352469567837136013/244993663659067085*c_1100_0^8 + 141865837528867117/244993663659067085*c_1100_0^7 + 209407988641378238/48998732731813417*c_1100_0^6 - 988556384938591551/244993663659067085*c_1100_0^5 + 1720093632457105124/244993663659067085*c_1100_0^4 - 250882492106843053/244993663659067085*c_1100_0^3 + 66899426235232905/48998732731813417*c_1100_0^2 + 935794141763001953/244993663659067085*c_1100_0 - 86144897681116751/48998732731813417, c_1100_0^12 - 138/61*c_1100_0^11 + 285/61*c_1100_0^10 - 304/61*c_1100_0^9 + 286/61*c_1100_0^8 + 10/61*c_1100_0^7 - 128/61*c_1100_0^6 + 392/61*c_1100_0^5 - 194/61*c_1100_0^4 + 160/61*c_1100_0^3 + 114/61*c_1100_0^2 - 120/61*c_1100_0 + 25/61 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.520 seconds, Total memory usage: 32.09MB