Magma V2.19-8 Tue Aug 20 2013 17:56:18 on localhost [Seed = 3802355409] Type ? for help. Type -D to quit. Loading file "11_268__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_268 geometric_solution 9.61445626 oriented_manifold CS_known 0.0000000000000009 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -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 2 -1 -1 1 0 0 -1 -1 1 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219091169453 1.251374087070 0 5 6 6 0132 0132 2103 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 0 0 -1 0 0 1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.980709620522 0.932486671017 4 0 3 7 0321 0132 3201 0132 0 0 0 0 0 -1 1 0 0 0 -1 1 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 -2 2 0 0 0 -1 1 0 2 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.022267868331 0.469882955912 2 8 9 0 2310 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 1 0 0 0 0 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.486977966921 1.887854456639 2 10 0 8 0321 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 -1 1 0 -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 0.265670306984 0.452149931260 8 1 7 10 0213 0132 2031 3120 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 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 0.600386978985 0.245801813760 1 7 1 9 2103 2031 0132 2031 0 0 0 0 0 -1 0 1 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 -1 0 1 0 0 -1 1 0 2 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464480185283 0.509187509575 6 10 2 5 1302 0213 0132 1302 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 1 1 0 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298599181390 0.901099522549 5 3 4 9 0213 0132 0132 0132 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 -2 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273009191534 0.464599766029 10 6 8 3 3201 1302 0132 0132 0 0 0 0 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 0 0 0 0 1 -1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791788698839 1.189175134153 5 4 7 9 3120 0132 0213 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 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 0.464739107902 0.769776756529 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0110_7']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0110_7']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_0110_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0101_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_7'], 's_2_0' : negation(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' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1100_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0110_6']), 'c_1100_1' : negation(d['c_0110_6']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_1100_10' : d['c_0011_7'], 'c_1010_7' : d['c_0011_7'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_7']), 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : d['c_0110_6'], 'c_1010_8' : d['c_0110_6'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_7'], 'c_0011_8' : negation(d['c_0011_3']), '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' : negation(d['c_0011_10']), '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_10' : negation(d['c_0101_9']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_9'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0101_9']), 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0110_6']})} 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_3, c_0011_7, c_0101_0, c_0101_3, c_0101_9, c_0110_6, c_0110_7, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 2416906258975921540145780345605/97551143629531845674773574992*c_110\ 0_0^19 - 2321456669689625525392066650379/48775571814765922837386787\ 496*c_1100_0^18 - 5543336024186124783135405653847/48775571814765922\ 837386787496*c_1100_0^17 + 76522579163730690201091967277/2217071446\ 125723765335763068*c_1100_0^16 - 6888497808235053740237632171305/97\ 551143629531845674773574992*c_1100_0^15 + 86982634460253878514655149425865/97551143629531845674773574992*c_11\ 00_0^14 - 37061264700205646547036080662885/139358776613616922392533\ 67856*c_1100_0^13 + 6871438923366546998893054659009/886828578450289\ 5061343052272*c_1100_0^12 + 80569678585641978438710111674288/609694\ 6476845740354673348437*c_1100_0^11 - 808121663888639324253521977083/21572566039259585509680136*c_1100_0^\ 10 + 364671932789967049949669627398793/6967938830680846119626683928\ *c_1100_0^9 - 6520095713613311593546524830579727/975511436295318456\ 74773574992*c_1100_0^8 + 444893690434923468506976588826485/88682857\ 84502895061343052272*c_1100_0^7 - 363954213310017594532391715971372\ 1/97551143629531845674773574992*c_1100_0^6 + 934892825756341844661441658688061/48775571814765922837386787496*c_1\ 100_0^5 - 671284453243488417805406841375787/97551143629531845674773\ 574992*c_1100_0^4 + 247765596514302914745369945623843/4877557181476\ 5922837386787496*c_1100_0^3 - 100029776579334488358725482700179/487\ 75571814765922837386787496*c_1100_0^2 + 43172203879023683452077209348127/24387785907382961418693393748*c_11\ 00_0 - 7223585489938624249528631646839/6096946476845740354673348437\ , c_0011_0 - 1, c_0011_10 - 38617190452742645202/2857183382380785404137*c_1100_0^19 - 370375390856065494447/11428733529523141616548*c_1100_0^18 - 158245952979993277700/2857183382380785404137*c_1100_0^17 + 15804241283059992102/2857183382380785404137*c_1100_0^16 + 198500347946185049294/2857183382380785404137*c_1100_0^15 + 3556986101265092358079/11428733529523141616548*c_1100_0^14 - 9993703503545654564071/11428733529523141616548*c_1100_0^13 - 20549040456597693152773/11428733529523141616548*c_1100_0^12 + 137983275380840644098429/11428733529523141616548*c_1100_0^11 - 229063713987432749562/8845768985699026019*c_1100_0^10 + 167920437217918702738815/5714366764761570808274*c_1100_0^9 - 91477640278173437600502/2857183382380785404137*c_1100_0^8 + 244123875812628023502243/11428733529523141616548*c_1100_0^7 - 135512131451093033410383/11428733529523141616548*c_1100_0^6 + 55642019469878729657833/11428733529523141616548*c_1100_0^5 - 2229840387743135134773/2857183382380785404137*c_1100_0^4 + 6256821329663998525765/11428733529523141616548*c_1100_0^3 - 15783693336205269068487/5714366764761570808274*c_1100_0^2 + 3688293214733865420869/5714366764761570808274*c_1100_0 - 2267871334483994388309/2857183382380785404137, c_0011_3 - 130418712046852207371/1203024582055067538584*c_1100_0^19 + 38007990474291451239/601512291027533769292*c_1100_0^18 - 338019803148945593375/601512291027533769292*c_1100_0^17 + 245620199054523744576/150378072756883442323*c_1100_0^16 - 4653581790786701630483/1203024582055067538584*c_1100_0^15 + 15421988670791860376591/1203024582055067538584*c_1100_0^14 - 50155606512666590373737/1203024582055067538584*c_1100_0^13 + 120086789506100988674037/1203024582055067538584*c_1100_0^12 - 50354982454213354392773/300756145513766884646*c_1100_0^11 + 7288207599835487780911/35383075942796104076*c_1100_0^10 - 131807241658543890609101/601512291027533769292*c_1100_0^9 + 215411182408880675508919/1203024582055067538584*c_1100_0^8 - 151099610863971853884759/1203024582055067538584*c_1100_0^7 + 90135675636566592152321/1203024582055067538584*c_1100_0^6 - 18985127139486874975055/601512291027533769292*c_1100_0^5 + 22373892036032750416583/1203024582055067538584*c_1100_0^4 - 4632761799575210529249/601512291027533769292*c_1100_0^3 + 3286777637548201496001/601512291027533769292*c_1100_0^2 - 718559290755183944187/300756145513766884646*c_1100_0 + 139645669707322868801/150378072756883442323, c_0011_7 - 573138571953232307163/22857467059046283233096*c_1100_0^19 + 246136519277517626101/5714366764761570808274*c_1100_0^18 - 1660136393448147859503/11428733529523141616548*c_1100_0^17 + 1577309190404055336544/2857183382380785404137*c_1100_0^16 - 29146069218958896757927/22857467059046283233096*c_1100_0^15 + 93840141424877368740753/22857467059046283233096*c_1100_0^14 - 299341802108976058123123/22857467059046283233096*c_1100_0^13 + 781214296710930367812979/22857467059046283233096*c_1100_0^12 - 755773873664425538687037/11428733529523141616548*c_1100_0^11 + 3376536153645289299217/35383075942796104076*c_1100_0^10 - 1256803722345107027558953/11428733529523141616548*c_1100_0^9 + 2268118757246742301785251/22857467059046283233096*c_1100_0^8 - 1567886533798065205848653/22857467059046283233096*c_1100_0^7 + 1062920440745345151866447/22857467059046283233096*c_1100_0^6 - 45436166582413756593273/2857183382380785404137*c_1100_0^5 + 228848438583625533045739/22857467059046283233096*c_1100_0^4 - 26596672119293245030763/5714366764761570808274*c_1100_0^3 + 23296230120659047479183/11428733529523141616548*c_1100_0^2 - 9971625129829282502025/2857183382380785404137*c_1100_0 + 257684350307054635160/2857183382380785404137, c_0101_0 + 50519312025491224543/11428733529523141616548*c_1100_0^19 + 26888960526616717903/2857183382380785404137*c_1100_0^18 + 41065487393508649808/2857183382380785404137*c_1100_0^17 - 37960704618061247477/2857183382380785404137*c_1100_0^16 - 386870440212078424073/11428733529523141616548*c_1100_0^15 - 1424022971061796628193/11428733529523141616548*c_1100_0^14 + 3756668130600052725851/11428733529523141616548*c_1100_0^13 + 5343434844969989911287/11428733529523141616548*c_1100_0^12 - 11063880165803365989399/2857183382380785404137*c_1100_0^11 + 152373091150812933897/17691537971398052038*c_1100_0^10 - 28086361841256302989249/2857183382380785404137*c_1100_0^9 + 118038084720137882062505/11428733529523141616548*c_1100_0^8 - 82930434557392850637417/11428733529523141616548*c_1100_0^7 + 23287064657491082355161/11428733529523141616548*c_1100_0^6 - 7224731117844627581333/5714366764761570808274*c_1100_0^5 - 25722682476918346426577/11428733529523141616548*c_1100_0^4 + 1030842051550499536415/2857183382380785404137*c_1100_0^3 + 5467856094326650544299/5714366764761570808274*c_1100_0^2 - 35021983631544412715/2857183382380785404137*c_1100_0 + 2025986167364618041083/2857183382380785404137, c_0101_3 - 415598607508083681527/22857467059046283233096*c_1100_0^19 - 50519312025491224543/11428733529523141616548*c_1100_0^18 - 1354351664630717916193/11428733529523141616548*c_1100_0^17 + 1164664847737233744965/5714366764761570808274*c_1100_0^16 - 13411068410822271510575/22857467059046283233096*c_1100_0^15 + 46905186313821445497643/22857467059046283233096*c_1100_0^14 - 142195868078197611596537/22857467059046283233096*c_1100_0^13 + 330368331642871927629749/22857467059046283233096*c_1100_0^12 - 73130518158263953461611/2857183382380785404137*c_1100_0^11 + 1319475668616539836783/35383075942796104076*c_1100_0^10 - 555175886534809121295635/11428733529523141616548*c_1100_0^9 + 1019731030893014506675143/22857467059046283233096*c_1100_0^8 - 940515809166477604313275/22857467059046283233096*c_1100_0^7 + 603486202820797817922765/22857467059046283233096*c_1100_0^6 - 157941013490110195169909/11428733529523141616548*c_1100_0^5 + 177267627351764384630471/22857467059046283233096*c_1100_0^4 - 3369220048647511280313/11428733529523141616548*c_1100_0^3 + 17903357991726436975271/11428733529523141616548*c_1100_0^2 - 4740672619662083914349/5714366764761570808274*c_1100_0 + 1281817806155795457296/2857183382380785404137, c_0101_9 - 4061164529125445035245/22857467059046283233096*c_1100_0^19 + 1606349132658815109953/11428733529523141616548*c_1100_0^18 - 11085608200272824114251/11428733529523141616548*c_1100_0^17 + 16420689951451361801667/5714366764761570808274*c_1100_0^16 - 161042681451823764265765/22857467059046283233096*c_1100_0^15 + 517652578998098679132729/22857467059046283233096*c_1100_0^14 - 1682452889223105177927615/22857467059046283233096*c_1100_0^13 + 4128791276696195627755995/22857467059046283233096*c_1100_0^12 - 907813451502120699444576/2857183382380785404137*c_1100_0^11 + 14727063257560814963067/35383075942796104076*c_1100_0^10 - 5286953225243908022584381/11428733529523141616548*c_1100_0^9 + 9203502241076357747121729/22857467059046283233096*c_1100_0^8 - 6770521601046898622724489/22857467059046283233096*c_1100_0^7 + 4151736047586321557881803/22857467059046283233096*c_1100_0^6 - 1036879138269760191228941/11428733529523141616548*c_1100_0^5 + 965591018413869502900333/22857467059046283233096*c_1100_0^4 - 265284224995135768703951/11428733529523141616548*c_1100_0^3 + 148024273579165347631141/11428733529523141616548*c_1100_0^2 - 45373631235053840536469/5714366764761570808274*c_1100_0 + 11240725506430283074280/2857183382380785404137, c_0110_6 + 430511421131267422785/5714366764761570808274*c_1100_0^19 + 432304644168833589589/11428733529523141616548*c_1100_0^18 + 1258511875908475527485/2857183382380785404137*c_1100_0^17 - 1927265754560789572703/2857183382380785404137*c_1100_0^16 + 5602545339500626527572/2857183382380785404137*c_1100_0^15 - 79656563358388909217887/11428733529523141616548*c_1100_0^14 + 247841503740772236777551/11428733529523141616548*c_1100_0^13 - 533653910181555921561309/11428733529523141616548*c_1100_0^12 + 790625938786261739864179/11428733529523141616548*c_1100_0^11 - 672968713447620827009/8845768985699026019*c_1100_0^10 + 224553715187547393256167/2857183382380785404137*c_1100_0^9 - 111215754710051529181798/2857183382380785404137*c_1100_0^8 + 381774403928020122533997/11428733529523141616548*c_1100_0^7 - 25373018484893497031813/11428733529523141616548*c_1100_0^6 + 11286396178615399216477/11428733529523141616548*c_1100_0^5 - 3726708630182400881489/2857183382380785404137*c_1100_0^4 - 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