Magma V2.19-8 Wed Aug 21 2013 00:57:46 on localhost [Seed = 2328662064] Type ? for help. Type -D to quit. Loading file "L13n4447__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4447 geometric_solution 11.39066856 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 1 0 0 -1 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 1 -1 0 -8 0 0 8 -2 -1 0 3 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.513926758122 1.015729221711 0 5 5 6 0132 0132 0321 0132 1 1 1 0 0 0 0 0 -1 0 1 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 1 0 -1 8 0 -8 0 -8 8 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671814517866 0.511405221523 3 0 7 4 1023 0132 0132 1023 1 1 1 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 -1 9 -8 0 0 0 0 -9 8 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.036990948189 0.714981653890 6 2 7 0 0132 1023 1023 0132 1 1 1 0 0 0 0 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 0 -1 1 9 0 -9 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 0.534416507027 0.737474152187 8 9 0 2 0132 0132 0132 1023 1 1 1 0 0 0 0 0 0 0 1 -1 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 -8 8 0 1 0 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.178505090983 1.038414148164 10 1 1 7 0132 0132 0321 1230 1 0 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 0 1 1 0 -1 0 -3 3 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671814517866 0.511405221523 3 8 1 9 0132 3120 0132 3120 1 1 0 1 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 0 1 -1 -9 0 0 9 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.995324419375 0.605413009407 5 11 3 2 3012 0132 1023 0132 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 0 0 0 0 0 0 9 -9 -1 0 1 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 -0.203762578474 0.771960798701 4 6 9 10 0132 3120 1023 2031 1 1 0 1 0 -1 1 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 9 -9 0 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.193485452356 0.623749629427 6 4 8 11 3120 0132 1023 0132 1 1 0 1 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 -9 0 9 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 0.107796631768 0.873225809540 5 8 12 12 0132 1302 3201 0132 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 0 0 0 -1 0 1 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847849026307 1.068576653765 12 7 9 12 3012 0132 0132 0321 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533593857428 0.837183988438 10 11 10 11 2310 0321 0132 1230 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 0 0 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 -0.479688734337 0.727555951757 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_1'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_9']), 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_0101_9'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_1001_12'], 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0101_1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), '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' : negation(d['1']), 's_2_10' : negation(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_1001_12'], 'c_1100_8' : negation(d['c_1001_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_12'], 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : negation(d['c_0101_9']), 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : negation(d['c_0011_0']), '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_0011_12']), '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_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0101_1']), 'c_0110_12' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], '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_8'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_11'], 's_2_9' : d['1']})} 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_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_8, c_0101_9, c_1001_11, c_1001_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 125520673211272912170462860/12720642237645947108761*c_1100_0^14 + 399881834699446512040640587/50882568950583788435044*c_1100_0^13 - 129617551337571858790916995/50882568950583788435044*c_1100_0^12 + 688972215616412100687617636/12720642237645947108761*c_1100_0^11 - 17794231416562906342824795589/50882568950583788435044*c_1100_0^10 + 39357308333205541836798402007/50882568950583788435044*c_1100_0^9 - 43897191221599026339979773105/50882568950583788435044*c_1100_0^8 + 24716553695614256207491009463/50882568950583788435044*c_1100_0^7 - 15644267635540968761052660133/50882568950583788435044*c_1100_0^6 + 17216333211195455221092540503/50882568950583788435044*c_1100_0^5 - 8534376134623126991129868389/25441284475291894217522*c_1100_0^4 + 9580130475861806032205497687/50882568950583788435044*c_1100_0^3 - 4526094560632319579253523987/50882568950583788435044*c_1100_0^2 + 1520043981658059972890998269/50882568950583788435044*c_1100_0 - 201962742226089526288224353/50882568950583788435044, c_0011_0 - 1, c_0011_11 + 157930616392783703488/14267664743393948047*c_1100_0^14 - 88395857582991230700/14267664743393948047*c_1100_0^13 + 20661054662423179539/14267664743393948047*c_1100_0^12 - 858490086969503293446/14267664743393948047*c_1100_0^11 + 5388535659141295465547/14267664743393948047*c_1100_0^10 - 11110156893234655402295/14267664743393948047*c_1100_0^9 + 11187172796773374391000/14267664743393948047*c_1100_0^8 - 718357660591333154287/2038237820484849721*c_1100_0^7 + 3419670944597121888085/14267664743393948047*c_1100_0^6 - 4262730395220171135356/14267664743393948047*c_1100_0^5 + 4299383304657739609281/14267664743393948047*c_1100_0^4 - 2082900826941276020249/14267664743393948047*c_1100_0^3 + 878138489555579386552/14267664743393948047*c_1100_0^2 - 170140528492249655187/14267664743393948047*c_1100_0 - 1846681216250997264/14267664743393948047, c_0011_12 - 9461364990153413765416/1127145514728121895713*c_1100_0^14 + 12141953764884337221917/2254291029456243791426*c_1100_0^13 - 3393042941151863541011/2254291029456243791426*c_1100_0^12 + 103292511058213872826821/2254291029456243791426*c_1100_0^11 - 654158656811140842063155/2254291029456243791426*c_1100_0^10 + 692173012822928217709924/1127145514728121895713*c_1100_0^9 - 726033492896851491560548/1127145514728121895713*c_1100_0^8 + 103251426550696069686817/322041575636606255918*c_1100_0^7 - 237816020529203025742463/1127145514728121895713*c_1100_0^6 + 277825582906534980851131/1127145514728121895713*c_1100_0^5 - 557754476403419702307905/2254291029456243791426*c_1100_0^4 + 145346536012434610339720/1127145514728121895713*c_1100_0^3 - 63842179693766416684569/1127145514728121895713*c_1100_0^2 + 16422710066467093175758/1127145514728121895713*c_1100_0 - 1077665082367005532069/1127145514728121895713, c_0011_4 + 718414085542756881928/1127145514728121895713*c_1100_0^14 - 425497379020886654105/2254291029456243791426*c_1100_0^13 + 180716119144279718331/2254291029456243791426*c_1100_0^12 - 3733125458590442482824/1127145514728121895713*c_1100_0^11 + 47214453123703736574453/2254291029456243791426*c_1100_0^10 - 89326961463725409232391/2254291029456243791426*c_1100_0^9 + 39913958257525706612368/1127145514728121895713*c_1100_0^8 - 3115201770194348701461/322041575636606255918*c_1100_0^7 + 9787415311902719681508/1127145514728121895713*c_1100_0^6 - 34369833935445191283559/2254291029456243791426*c_1100_0^5 + 20464271188257094937976/1127145514728121895713*c_1100_0^4 - 9239338991832332584527/2254291029456243791426*c_1100_0^3 + 1396473314677382693912/1127145514728121895713*c_1100_0^2 + 138872974175467721962/1127145514728121895713*c_1100_0 + 536498482646010535421/1127145514728121895713, c_0101_0 - 1, c_0101_1 + 48823985694540134528/14267664743393948047*c_1100_0^14 - 40945054206659826432/14267664743393948047*c_1100_0^13 + 43433607768465317551/28535329486787896094*c_1100_0^12 - 536803431170788678965/28535329486787896094*c_1100_0^11 + 1739864487883303786451/14267664743393948047*c_1100_0^10 - 7883947919828431908579/28535329486787896094*c_1100_0^9 + 9324629706926982527381/28535329486787896094*c_1100_0^8 - 422823996748490490166/2038237820484849721*c_1100_0^7 + 3693900732575662857201/28535329486787896094*c_1100_0^6 - 1710254869629758442371/14267664743393948047*c_1100_0^5 + 3689104968992998091919/28535329486787896094*c_1100_0^4 - 1185727019345201612114/14267664743393948047*c_1100_0^3 + 1144557505088593544925/28535329486787896094*c_1100_0^2 - 164367452668644600178/14267664743393948047*c_1100_0 + 40437760974028200165/14267664743393948047, c_0101_11 - 3729909261743912654016/1127145514728121895713*c_1100_0^14 + 1963267232476395381700/1127145514728121895713*c_1100_0^13 - 316500879036976022267/2254291029456243791426*c_1100_0^12 + 40321048670578278360295/2254291029456243791426*c_1100_0^11 - 126488942529914014518247/1127145514728121895713*c_1100_0^10 + 513565178935694589125721/2254291029456243791426*c_1100_0^9 - 493492998244997827085377/2254291029456243791426*c_1100_0^8 + 13270797738375424974002/161020787818303127959*c_1100_0^7 - 118166513458013687041481/2254291029456243791426*c_1100_0^6 + 88899873189646348076392/1127145514728121895713*c_1100_0^5 - 182167327988601812180039/2254291029456243791426*c_1100_0^4 + 39709566350926004249988/1127145514728121895713*c_1100_0^3 - 24159982507407232237145/2254291029456243791426*c_1100_0^2 + 1124012185386733537611/1127145514728121895713*c_1100_0 + 1696848053093718675235/1127145514728121895713, c_0101_2 - 88033946327503588288/1127145514728121895713*c_1100_0^14 + 210868886194726438132/1127145514728121895713*c_1100_0^13 + 615960254898762778045/2254291029456243791426*c_1100_0^12 + 600814693817417672143/2254291029456243791426*c_1100_0^11 - 7746994318014026794045/2254291029456243791426*c_1100_0^10 + 9447330858918380943863/1127145514728121895713*c_1100_0^9 - 3779643955035438846787/1127145514728121895713*c_1100_0^8 - 3824394028021517676391/322041575636606255918*c_1100_0^7 + 38538641529238839626867/2254291029456243791426*c_1100_0^6 - 4557885219241136424058/1127145514728121895713*c_1100_0^5 + 1766711387425745100359/1127145514728121895713*c_1100_0^4 - 6393775983640178470523/1127145514728121895713*c_1100_0^3 + 15988815172668640819583/2254291029456243791426*c_1100_0^2 - 8071428209984850453129/2254291029456243791426*c_1100_0 + 1909922361961108203053/1127145514728121895713, c_0101_8 + 7440153952268608/24193382874243317*c_1100_0^14 - 1212050937843380/24193382874243317*c_1100_0^13 - 7334622807325064/24193382874243317*c_1100_0^12 - 39746253848663409/24193382874243317*c_1100_0^11 + 237441442363950172/24193382874243317*c_1100_0^10 - 386027265119684002/24193382874243317*c_1100_0^9 + 110565407074448166/24193382874243317*c_1100_0^8 + 47285310094104654/3456197553463331*c_1100_0^7 - 212854310801306459/24193382874243317*c_1100_0^6 - 63063761991076041/24193382874243317*c_1100_0^5 - 17168097095693946/24193382874243317*c_1100_0^4 + 122234572181003430/24193382874243317*c_1100_0^3 - 87593476200303370/24193382874243317*c_1100_0^2 + 37111355160637375/24193382874243317*c_1100_0 - 32213015950399841/24193382874243317, c_0101_9 + 3224886605610276583688/1127145514728121895713*c_1100_0^14 + 131248811827773735639/2254291029456243791426*c_1100_0^13 + 311871237582572376971/1127145514728121895713*c_1100_0^12 - 35086173744939174385873/2254291029456243791426*c_1100_0^11 + 99943568647118105990375/1127145514728121895713*c_1100_0^10 - 168001531526753499535375/1127145514728121895713*c_1100_0^9 + 254749010873840706536571/2254291029456243791426*c_1100_0^8 - 7901765868710148526653/322041575636606255918*c_1100_0^7 + 60551337679748767398483/1127145514728121895713*c_1100_0^6 - 120154368616542062918081/2254291029456243791426*c_1100_0^5 + 49259770336669835207669/1127145514728121895713*c_1100_0^4 - 10056170596681964570148/1127145514728121895713*c_1100_0^3 + 27227002816185626517101/2254291029456243791426*c_1100_0^2 + 3983583039324441842497/2254291029456243791426*c_1100_0 + 952141392306523024659/2254291029456243791426, c_1001_11 + 1406472795212721598256/1127145514728121895713*c_1100_0^14 - 976420488403892407411/1127145514728121895713*c_1100_0^13 + 1849776793340302129593/2254291029456243791426*c_1100_0^12 - 15342147321876652714767/2254291029456243791426*c_1100_0^11 + 98143380575909629459703/2254291029456243791426*c_1100_0^10 - 108845687204886850753977/1127145514728121895713*c_1100_0^9 + 132644639566688365156003/1127145514728121895713*c_1100_0^8 - 26192552717826156439897/322041575636606255918*c_1100_0^7 + 124268513001737020024415/2254291029456243791426*c_1100_0^6 - 47042358358573215408906/1127145514728121895713*c_1100_0^5 + 53369664766231569411347/1127145514728121895713*c_1100_0^4 - 34269779611351963987142/1127145514728121895713*c_1100_0^3 + 40467404002952507696099/2254291029456243791426*c_1100_0^2 - 12052510559607312683939/2254291029456243791426*c_1100_0 + 2142481534653719096517/1127145514728121895713, c_1001_12 - 5757695228573865729248/1127145514728121895713*c_1100_0^14 + 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