Magma V2.19-8 Tue Aug 20 2013 23:45:43 on localhost [Seed = 964648156] Type ? for help. Type -D to quit. Loading file "K13n4738__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n4738 geometric_solution 10.04148941 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715979242932 0.381491082708 0 0 5 4 0132 1230 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 0 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 1.255599881320 1.686497012111 6 0 8 7 0132 0132 0132 0132 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 1 -9 8 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 0.325123135084 0.405942227532 9 8 0 4 0132 3201 0132 0321 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 -1 1 0 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992774441758 1.030547934708 5 3 1 10 1230 0321 0132 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 -1 1 0 0 0 0 0 -9 9 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.379735577547 0.631410720549 9 4 11 1 3120 3012 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.209641388420 0.413067368546 2 7 11 10 0132 2103 2103 2031 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 0 0 0 0 -1 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764289012459 0.828529278778 10 6 2 9 0132 2103 0132 3201 0 0 0 0 0 0 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 -8 8 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 0.131031044287 0.948627294896 8 8 3 2 1302 2031 2310 0132 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 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.074910981876 0.736927216909 3 7 11 5 0132 2310 3012 3120 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 -9 9 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 0.175565451985 1.886103075200 7 6 4 11 0132 1302 0132 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 1.021295833924 0.622207346264 6 9 10 5 2103 1230 0132 0132 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 0 0 0 0 0 0 0 8 -8 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925867634307 0.707486960537 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : d['c_0011_8'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_11' : negation(d['c_0011_4']), 'c_1010_10' : d['c_0101_5'], '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_0011_5'], '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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_0011_3'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0011_8'], 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : d['c_0011_8'], 'c_1100_8' : d['c_0011_3'], '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_0'], '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_5'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : negation(d['c_0011_8']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_5']), 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0011_4, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 141784489171567434635754592803080696679641/886569947897825638344580\ 117621005570919*c_1100_1^15 - 5073422286892416669017780078962997299\ 225953/1773139895795651276689160235242011141838*c_1100_1^14 + 46237422606925602366178883228712321889553801/1773139895795651276689\ 160235242011141838*c_1100_1^13 - 1328910229762703753907451541513605\ 87279485211/886569947897825638344580117621005570919*c_1100_1^12 + 80920443756443568125408121558997953511789931/1266528496996893769063\ 68588231572224417*c_1100_1^11 - 33474191198770695627176228586620853\ 02794582633/1773139895795651276689160235242011141838*c_1100_1^10 + 7603393770226713934872468602721111197746416155/17731398957956512766\ 89160235242011141838*c_1100_1^9 - 167412802689296969699443627122159\ 1727354001223/253305699399378753812737176463144448834*c_1100_1^8 + 7955684673596322774407651485185254013420691941/88656994789782563834\ 4580117621005570919*c_1100_1^7 - 1694426141580253970629386687402981\ 5850532279325/1773139895795651276689160235242011141838*c_1100_1^6 + 53569415398371286801452996549020086404287074/7450167629393492759198\ 152248916013201*c_1100_1^5 - 69137703244020751624012618274033106787\ 15731145/1773139895795651276689160235242011141838*c_1100_1^4 + 2697911629558003461670660648924805528252679713/17731398957956512766\ 89160235242011141838*c_1100_1^3 - 560018380565486099144644750264861\ 493743983679/1773139895795651276689160235242011141838*c_1100_1^2 + 59237967716144975998858832562809457534952931/1773139895795651276689\ 160235242011141838*c_1100_1 - 1287212044782354734796560919301597361\ 319373/886569947897825638344580117621005570919, c_0011_0 - 1, c_0011_10 + 20849557737970150041341894418119/28178805549600078971493532\ 91642*c_1100_1^15 - 372955383713503663770181959721753/2817880554960\ 007897149353291642*c_1100_1^14 + 1699202181834542370844421771759656\ /1408940277480003948574676645821*c_1100_1^13 - 19530911818843341631092963240228527/2817880554960007897149353291642\ *c_1100_1^12 + 83235864551385575228676470614404737/2817880554960007\ 897149353291642*c_1100_1^11 - 245872806433589552230079110556455791/\ 2817880554960007897149353291642*c_1100_1^10 + 558354427907803579500875900190568967/281788055496000789714935329164\ 2*c_1100_1^9 - 860164972438650951451867213301335261/281788055496000\ 7897149353291642*c_1100_1^8 + 1167914899075376363524281146466317891\ /2817880554960007897149353291642*c_1100_1^7 - 1243278950069858948936045560533454555/28178805549600078971493532916\ 42*c_1100_1^6 + 467542936257088821944165796800444625/14089402774800\ 03948574676645821*c_1100_1^5 - 507112009924300502556471525978215369\ /2817880554960007897149353291642*c_1100_1^4 + 198023034124338390179089559215945515/281788055496000789714935329164\ 2*c_1100_1^3 - 20599170985779418306924623109968591/1408940277480003\ 948574676645821*c_1100_1^2 + 2224617257188423317921285586733944/140\ 8940277480003948574676645821*c_1100_1 - 197292874675261791277601859344427/2817880554960007897149353291642, c_0011_3 - 15758430250837420414560948267039/140894027748000394857467664\ 5821*c_1100_1^15 + 563419942563066524635531396096913/28178805549600\ 07897149353291642*c_1100_1^14 - 2565410793954862910960549404577749/\ 1408940277480003948574676645821*c_1100_1^13 + 14732876250230148661121546365521827/1408940277480003948574676645821\ *c_1100_1^12 - 62744066513004346024326779310766773/1408940277480003\ 948574676645821*c_1100_1^11 + 370239919642648966097169851659006871/\ 2817880554960007897149353291642*c_1100_1^10 - 419885961101008539738722248099491625/140894027748000394857467664582\ 1*c_1100_1^9 + 1290526710508271678953455463224133879/28178805549600\ 07897149353291642*c_1100_1^8 - 175026578650995631277007484823569271\ 9/2817880554960007897149353291642*c_1100_1^7 + 929350160903569201802805915588030544/140894027748000394857467664582\ 1*c_1100_1^6 - 695613921065319961307093153419349276/140894027748000\ 3948574676645821*c_1100_1^5 + 749507650268623977624557976737499377/\ 2817880554960007897149353291642*c_1100_1^4 - 144974444715262156562857081413342411/140894027748000394857467664582\ 1*c_1100_1^3 + 58572626394442835849163537803293105/2817880554960007\ 897149353291642*c_1100_1^2 - 2973721048556504405527204617951176/140\ 8940277480003948574676645821*c_1100_1 + 121267731180181945177964285658196/1408940277480003948574676645821, c_0011_4 + 6247712129265730897849802429412/1408940277480003948574676645\ 821*c_1100_1^15 - 223315977833272823700057457059981/281788055496000\ 7897149353291642*c_1100_1^14 + 1016550018845229165095458357921093/1\ 408940277480003948574676645821*c_1100_1^13 - 5836083461920963736228594205259705/1408940277480003948574676645821*\ c_1100_1^12 + 24847181073224515840100101862971165/14089402774800039\ 48574676645821*c_1100_1^11 - 146543217001119607233693865922590857/2\ 817880554960007897149353291642*c_1100_1^10 + 166111176803707088061821920788272320/140894027748000394857467664582\ 1*c_1100_1^9 - 510026393866850675030950430560602337/281788055496000\ 7897149353291642*c_1100_1^8 + 691449754262107022821164246887387471/\ 2817880554960007897149353291642*c_1100_1^7 - 366794015799936037402695052776917526/140894027748000394857467664582\ 1*c_1100_1^6 + 274044921101027449724696617113647432/140894027748000\ 3948574676645821*c_1100_1^5 - 294611232365802831622461529551303095/\ 2817880554960007897149353291642*c_1100_1^4 + 56831254065652988727866032506953150/1408940277480003948574676645821\ *c_1100_1^3 - 22761214970890414123606352110059285/28178805549600078\ 97149353291642*c_1100_1^2 + 1141359201506624991198913465003346/1408\ 940277480003948574676645821*c_1100_1 - 46144510135781788927296961736471/1408940277480003948574676645821, c_0011_5 + 24716515297066067930921888810171/281788055496000789714935329\ 1642*c_1100_1^15 - 442311399027455907725065377592841/28178805549600\ 07897149353291642*c_1100_1^14 + 2015961126276439270135909789388866/\ 1408940277480003948574676645821*c_1100_1^13 - 23181954699504732294114512136796299/2817880554960007897149353291642\ *c_1100_1^12 + 49416877686339171649021111357695958/1408940277480003\ 948574676645821*c_1100_1^11 - 146069797846673986175783360565386378/\ 1408940277480003948574676645821*c_1100_1^10 + 331893233086332525124807683771331175/140894027748000394857467664582\ 1*c_1100_1^9 - 511882077906368222046864368338461193/140894027748000\ 3948574676645821*c_1100_1^8 + 1390181240434827511235844572468323701\ /2817880554960007897149353291642*c_1100_1^7 - 1481270909492069231373715389900910249/28178805549600078971493532916\ 42*c_1100_1^6 + 1115582309320186863112386195819911297/2817880554960\ 007897149353291642*c_1100_1^5 - 60537786809964984859361711004918270\ 7/2817880554960007897149353291642*c_1100_1^4 + 236347704323806978456699057365634169/281788055496000789714935329164\ 2*c_1100_1^3 - 24572501634412126988133588510966675/1408940277480003\ 948574676645821*c_1100_1^2 + 5148638456592859855283553434976489/281\ 7880554960007897149353291642*c_1100_1 - 109249474698296865672317016034906/1408940277480003948574676645821, c_0011_8 + 14922437397502689945279236284406/140894027748000394857467664\ 5821*c_1100_1^15 - 533627763229502651307952224227133/28178805549600\ 07897149353291642*c_1100_1^14 + 2430199870970867115336387664506756/\ 1408940277480003948574676645821*c_1100_1^13 - 13959469171376210767659660217788274/1408940277480003948574676645821\ *c_1100_1^12 + 118926434368333888213579444538437817/281788055496000\ 7897149353291642*c_1100_1^11 - 175505655736497559240700446590205662\ /1408940277480003948574676645821*c_1100_1^10 + 796470063447855289325187683942114953/281788055496000789714935329164\ 2*c_1100_1^9 - 612478990057730309180641990754601058/140894027748000\ 3948574676645821*c_1100_1^8 + 1662060761017993094535710748173761491\ /2817880554960007897149353291642*c_1100_1^7 - 883232067767086899655534182576335197/140894027748000394857467664582\ 1*c_1100_1^6 + 1324436569125526258979687372849300031/28178805549600\ 07897149353291642*c_1100_1^5 - 715319710493573698748266306129990573\ /2817880554960007897149353291642*c_1100_1^4 + 138866621477793156645499544163798336/140894027748000394857467664582\ 1*c_1100_1^3 - 56747413414888169417707957367965291/2817880554960007\ 897149353291642*c_1100_1^2 + 5928011582097670459487594202742163/281\ 7880554960007897149353291642*c_1100_1 - 253172506879226943945729416707767/2817880554960007897149353291642, c_0101_0 - 3116813331431219427479651829679/2817880554960007897149353291\ 642*c_1100_1^15 + 55712561085025858467879976921577/2817880554960007\ 897149353291642*c_1100_1^14 - 253652125345816641933243540585704/140\ 8940277480003948574676645821*c_1100_1^13 + 1456556258315036870252048460647650/1408940277480003948574676645821*\ c_1100_1^12 - 6202707355548866934741360246930808/140894027748000394\ 8574676645821*c_1100_1^11 + 18298218184275692350567133054980899/140\ 8940277480003948574676645821*c_1100_1^10 - 41501341958459571504341149020585126/1408940277480003948574676645821\ *c_1100_1^9 + 127536835545233068039252197599654699/2817880554960007\ 897149353291642*c_1100_1^8 - 173002952772526058131744834506876713/2\ 817880554960007897149353291642*c_1100_1^7 + 91854155449112324410651627585575988/1408940277480003948574676645821\ *c_1100_1^6 - 68767246240211931856850652870847514/14089402774800039\ 48574676645821*c_1100_1^5 + 74161026833626502012314973395269343/281\ 7880554960007897149353291642*c_1100_1^4 - 28736229784484689927186825193917593/2817880554960007897149353291642\ *c_1100_1^3 + 5833531421832531901759719196791713/281788055496000789\ 7149353291642*c_1100_1^2 - 612384776794755867714284729688241/281788\ 0554960007897149353291642*c_1100_1 + 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