Magma V2.19-8 Wed Aug 21 2013 00:58:12 on localhost [Seed = 1966305254] Type ? for help. Type -D to quit. Loading file "L13n4843__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4843 geometric_solution 11.64975378 oriented_manifold CS_known 0.0000000000000002 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 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 -1 0 0 1 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419986760213 0.738167529786 0 5 7 6 0132 0132 0132 0132 1 1 1 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 -1 1 0 1 0 0 -1 0 0 0 0 3 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.191467171615 1.075311217063 7 0 8 4 0132 0132 0132 2103 1 1 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 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668215523150 0.396721051580 9 10 7 0 0132 0132 3120 0132 1 1 1 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 -1 0 1 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 1.148882046515 1.989877927671 11 10 0 2 0132 3201 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.553932975612 0.945951564436 7 1 8 9 1023 0132 0321 3201 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 1 -1 0 -6 0 6 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 -0.530527533090 0.683498972566 11 12 1 9 1023 0132 0132 2103 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 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 0.159532642149 0.870483483158 2 5 3 1 0132 1023 3120 0132 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 6 -5 -1 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771960513280 1.405244017914 11 10 5 2 3120 3012 0321 0132 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 0 0 0 0 0 0 1 5 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.221454802368 0.880497276116 3 5 12 6 0132 2310 3120 2103 0 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 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 0.106760180438 1.088179113521 8 3 4 12 1230 0132 2310 2310 1 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 0 0 0 1 0 -1 0 0 -1 1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513568799683 0.564196402320 4 6 12 8 0132 1023 1230 3120 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 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 0 0 0 0 0 0 0 0.183943793022 1.095915931295 10 6 9 11 3201 0132 3120 3012 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 0 0 0 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 -0.054652008434 1.214609980793 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0110_5'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_10']), 'c_1001_9' : negation(d['c_0110_5']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : negation(d['c_0101_5']), 's_3_11' : d['1'], 's_3_10' : 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_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_1100_9' : d['c_0011_8'], 'c_1100_8' : negation(d['c_0101_11']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0101_11']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0110_5'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : negation(d['c_0101_10']), 'c_1010_9' : negation(d['c_0110_5']), 'c_1010_8' : negation(d['c_0101_10']), '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_0']), '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0011_8']), '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_1'], 'c_0110_10' : d['c_0011_8'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], '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_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_5']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_11, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_0101_7, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 7357868025736643149536139255086374293/38525925379346591788612940144\ 1903471172*c_1001_0^13 + 228813720997528855134099634267203339509/96\ 314813448366479471532350360475867793*c_1001_0^12 - 3553322046446785930159651659392588978063/19262962689673295894306470\ 0720951735586*c_1001_0^11 + 602803867273268003980018058173325724308\ 8/96314813448366479471532350360475867793*c_1001_0^10 - 3674454833146028876950619369801320266143/27518518128104708420437814\ 388707390798*c_1001_0^9 + 92258543660729957818354440929747295512815\ /385259253793465917886129401441903471172*c_1001_0^8 - 148789458144384059704493425657146541198971/385259253793465917886129\ 401441903471172*c_1001_0^7 + 45695997030186234053234677194373984111\ 504/96314813448366479471532350360475867793*c_1001_0^6 - 42007581534702393504446813463812843634056/9631481344836647947153235\ 0360475867793*c_1001_0^5 + 3557784923882532179914623229159302028033\ 1/96314813448366479471532350360475867793*c_1001_0^4 - 111189229276001505897685332197265403339909/385259253793465917886129\ 401441903471172*c_1001_0^3 + 18991031346799472566906989351156502085\ 650/96314813448366479471532350360475867793*c_1001_0^2 - 53375954383667967542245730431406640294089/3852592537934659178861294\ 01441903471172*c_1001_0 + 25286405205353738188436797562823957519755\ /385259253793465917886129401441903471172, c_0011_0 - 1, c_0011_10 + 14759016431545015048452234375/12420984889141573641376119907\ 193*c_1001_0^13 - 1807757074072440018176389463272/12420984889141573\ 641376119907193*c_1001_0^12 + 10821277330957606090199244977788/1242\ 0984889141573641376119907193*c_1001_0^11 - 29274399629474726527929163538629/12420984889141573641376119907193*c\ _1001_0^10 + 57769692584239475821806952941172/124209848891415736413\ 76119907193*c_1001_0^9 - 105761774990116249614305188330148/12420984\ 889141573641376119907193*c_1001_0^8 + 156343779395128627266025172777784/12420984889141573641376119907193*\ c_1001_0^7 - 172117941162523341919663295075886/12420984889141573641\ 376119907193*c_1001_0^6 + 166011047116786760043186455916337/1242098\ 4889141573641376119907193*c_1001_0^5 - 132739209548720848599872134410338/12420984889141573641376119907193*\ c_1001_0^4 + 99341675274960737742516254918411/124209848891415736413\ 76119907193*c_1001_0^3 - 68844402591232734372741126215219/124209848\ 89141573641376119907193*c_1001_0^2 + 32876999669271342358299000135995/12420984889141573641376119907193*c\ _1001_0 - 22520415414788526929695602088983/124209848891415736413761\ 19907193, c_0011_11 - 56953636374238064135687042792/86946894223991015489632839350\ 351*c_1001_0^13 + 13901464345450432796708427482135/1738937884479820\ 30979265678700702*c_1001_0^12 - 38676590532923558371719366267420/86\ 946894223991015489632839350351*c_1001_0^11 + 191019034774797756357606023801085/173893788447982030979265678700702\ *c_1001_0^10 - 177652595500051551044900278137766/869468942239910154\ 89632839350351*c_1001_0^9 + 624400734555845907261107251539307/17389\ 3788447982030979265678700702*c_1001_0^8 - 812875212559047199700756664553657/173893788447982030979265678700702\ *c_1001_0^7 + 359122660085684995575509595707627/8694689422399101548\ 9632839350351*c_1001_0^6 - 550417954577782384293114971235239/173893\ 788447982030979265678700702*c_1001_0^5 + 72357474384109805141992474641746/86946894223991015489632839350351*c\ _1001_0^4 + 17554845150243129122515307402663/2484196977828314728275\ 2239814386*c_1001_0^3 + 10541767947392530257574649996741/1738937884\ 47982030979265678700702*c_1001_0^2 - 23049515972522749245868906267751/173893788447982030979265678700702*\ c_1001_0 - 51538108399257063387223859078755/86946894223991015489632\ 839350351, c_0011_8 + 10041135362726773598752179437/869468942239910154896328393503\ 51*c_1001_0^13 - 2313763435342785216779827169771/173893788447982030\ 979265678700702*c_1001_0^12 - 1488635609473591431029883457291/86946\ 894223991015489632839350351*c_1001_0^11 + 44832060913280460983126850679803/173893788447982030979265678700702*\ c_1001_0^10 - 38023482570180433650517361290449/86946894223991015489\ 632839350351*c_1001_0^9 + 71752985991430512112718641494831/17389378\ 8447982030979265678700702*c_1001_0^8 - 181566786595312452044519607174133/173893788447982030979265678700702\ *c_1001_0^7 + 91121819806864697002799775484515/86946894223991015489\ 632839350351*c_1001_0^6 + 128517065206055243910750696153703/1738937\ 88447982030979265678700702*c_1001_0^5 - 47024123608283246725648174327434/86946894223991015489632839350351*c\ _1001_0^4 + 9651076714933471934110807415559/24841969778283147282752\ 239814386*c_1001_0^3 - 9828701554317769993981040888363/173893788447\ 982030979265678700702*c_1001_0^2 + 52786623412848318307615030913943/173893788447982030979265678700702*\ c_1001_0 - 104858540959615809638668194310276/8694689422399101548963\ 2839350351, c_0101_0 - 1, c_0101_1 + 133810840708402327884861903077/17389378844798203097926567870\ 0702*c_1001_0^13 - 16266118547152359756519565905925/173893788447982\ 030979265678700702*c_1001_0^12 + 41453390507451223432692061013211/8\ 6946894223991015489632839350351*c_1001_0^11 - 168365813112255788585190755813165/173893788447982030979265678700702\ *c_1001_0^10 + 124696518542776405005231055021587/869468942239910154\ 89632839350351*c_1001_0^9 - 208264380945959425488597228962754/86946\ 894223991015489632839350351*c_1001_0^8 + 207725392899405776147886917488858/86946894223991015489632839350351*\ c_1001_0^7 - 11893133456882136914969679144576/869468942239910154896\ 32839350351*c_1001_0^6 - 186556443192881692996890397229739/17389378\ 8447982030979265678700702*c_1001_0^5 + 215829524912610538653393406518184/86946894223991015489632839350351*\ c_1001_0^4 - 38449810180102462017447817698597/124209848891415736413\ 76119907193*c_1001_0^3 + 237530973895652522735271811725131/17389378\ 8447982030979265678700702*c_1001_0^2 - 154437941879882984636974941923137/86946894223991015489632839350351*\ c_1001_0 + 110874683459197065775677607814191/1738937884479820309792\ 65678700702, c_0101_10 - 286394171759421124696649316535/1738937884479820309792656787\ 00702*c_1001_0^13 + 34943991343621925647047456955517/17389378844798\ 2030979265678700702*c_1001_0^12 - 193561882013705606987168793696375\ /173893788447982030979265678700702*c_1001_0^11 + 482691191101336030325161419894731/173893788447982030979265678700702\ *c_1001_0^10 - 932761329592072810134265123458713/173893788447982030\ 979265678700702*c_1001_0^9 + 867039633231561326601765119283239/8694\ 6894223991015489632839350351*c_1001_0^8 - 2462516285624127837550614437324945/17389378844798203097926567870070\ 2*c_1001_0^7 + 2600501429072891068080091540876573/17389378844798203\ 0979265678700702*c_1001_0^6 - 2664729953493250734584900590740493/17\ 3893788447982030979265678700702*c_1001_0^5 + 2083139716492903489386912269939473/17389378844798203097926567870070\ 2*c_1001_0^4 - 102658944089318709373674924807005/124209848891415736\ 41376119907193*c_1001_0^3 + 544791354542154031424359849451712/86946\ 894223991015489632839350351*c_1001_0^2 - 442324818727485886135376846114315/173893788447982030979265678700702\ *c_1001_0 + 15223658204361048227945470917206/8694689422399101548963\ 2839350351, c_0101_11 + 7076073629420090115209650536/124209848891415736413761199071\ 93*c_1001_0^13 - 859984227035162411813453103745/1242098488914157364\ 1376119907193*c_1001_0^12 + 4367169875794933480189273555138/1242098\ 4889141573641376119907193*c_1001_0^11 - 9479502134907521220127363309664/12420984889141573641376119907193*c_\ 1001_0^10 + 16258630330086937833702664805037/1242098488914157364137\ 6119907193*c_1001_0^9 - 29798913533273790704333309858682/1242098488\ 9141573641376119907193*c_1001_0^8 + 40170315313869676231880615288816/12420984889141573641376119907193*c\ _1001_0^7 - 36314239487721406808438205763059/1242098488914157364137\ 6119907193*c_1001_0^6 + 36533267510884764054139924123386/1242098488\ 9141573641376119907193*c_1001_0^5 - 34825185961694101252817447097802/12420984889141573641376119907193*c\ _1001_0^4 + 33997650195895409389221343550582/1242098488914157364137\ 6119907193*c_1001_0^3 - 16774810830831906729157303056856/1242098488\ 9141573641376119907193*c_1001_0^2 + 8048515823893093412682893550930/12420984889141573641376119907193*c_\ 1001_0 + 1212878018595168658503284991910/12420984889141573641376119\ 907193, c_0101_3 - 24844361533761837016134449879/124209848891415736413761199071\ 93*c_1001_0^13 + 6084299293904657441039355277565/248419697782831472\ 82752239814386*c_1001_0^12 - 18104543655047356045176104166839/12420\ 984889141573641376119907193*c_1001_0^11 + 97232206669247858573006190314901/24841969778283147282752239814386*c\ _1001_0^10 - 93214936779959114342075256525780/124209848891415736413\ 76119907193*c_1001_0^9 + 329920854744225876186347838918691/24841969\ 778283147282752239814386*c_1001_0^8 - 483089205462503109581225609052149/24841969778283147282752239814386*\ c_1001_0^7 + 257326098972008727438605758357004/12420984889141573641\ 376119907193*c_1001_0^6 - 455488361325964673052918900553965/2484196\ 9778283147282752239814386*c_1001_0^5 + 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