Magma V2.19-8 Tue Aug 20 2013 23:45:34 on localhost [Seed = 3246892034] Type ? for help. Type -D to quit. Loading file "K13n3979__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3979 geometric_solution 11.82501779 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 0 1 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.360594985436 0.772292661229 0 5 6 4 0132 0132 0132 2031 0 0 0 0 0 -1 1 0 0 0 0 0 0 1 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 0 0 1 -1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536904546845 0.918087826733 6 0 3 5 0132 0132 1302 0132 0 0 0 0 0 -1 0 1 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -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 0.536904546845 0.918087826733 2 4 7 0 2031 2031 0132 0132 0 0 0 0 0 -1 0 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 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 0.474036874042 0.680821155213 3 1 0 8 1302 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474036874042 0.680821155213 9 1 2 10 0132 0132 0132 0132 0 0 0 0 0 1 -1 0 -1 0 0 1 0 1 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 1 0 -1 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567112182162 0.837809206365 2 9 10 1 0132 0132 3201 0132 0 0 0 0 0 0 1 -1 0 0 0 0 -1 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 -1 1 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 0.567112182162 0.837809206365 8 11 10 3 1023 0132 0213 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 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 0.703336156660 1.343984101324 11 7 4 10 2310 1023 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703336156660 1.343984101324 5 6 11 11 0132 0132 0132 2310 0 0 0 0 0 0 0 0 1 0 -1 0 -1 0 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 -1 0 1 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 0.446527257512 0.909684826532 6 7 5 8 2310 0213 0132 0213 0 0 0 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 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 0.324587007195 1.168601327911 9 7 8 9 3201 0132 3201 0132 0 0 0 0 0 0 0 0 -1 0 0 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 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 0.049143962374 0.653031786146 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_1010_10'], 's_0_10' : 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_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1010_10'], 'c_1100_7' : d['c_1010_10'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1010_10'], 'c_1100_3' : d['c_1010_10'], 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0101_3'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0101_3'], 'c_1100_8' : d['c_1010_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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_11']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_11, c_0011_3, c_0011_4, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_8, c_1001_1, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 30033/75881*c_1010_10^5 - 135578/75881*c_1010_10^4 + 778137/151762*c_1010_10^3 - 580746/75881*c_1010_10^2 + 1094719/151762*c_1010_10 - 25511/11674, c_0011_0 - 1, c_0011_10 - c_1001_1*c_1010_10^4 + 4*c_1001_1*c_1010_10^3 - 9*c_1001_1*c_1010_10^2 + 10*c_1001_1*c_1010_10 - 5*c_1001_1 + c_1010_10^2 - c_1010_10 + 1, c_0011_11 - c_1010_10^3 + 3*c_1010_10^2 - 5*c_1010_10 + 2, c_0011_3 - c_1001_1*c_1010_10^5 + 5*c_1001_1*c_1010_10^4 - 14*c_1001_1*c_1010_10^3 + 22*c_1001_1*c_1010_10^2 - 20*c_1001_1*c_1010_10 + 8*c_1001_1 + c_1010_10^2 - 2*c_1010_10 + 2, c_0011_4 - c_1001_1*c_1010_10^5 + 5*c_1001_1*c_1010_10^4 - 14*c_1001_1*c_1010_10^3 + 22*c_1001_1*c_1010_10^2 - 20*c_1001_1*c_1010_10 + 8*c_1001_1 - c_1010_10 + 1, c_0101_0 - c_1010_10^4 + 4*c_1010_10^3 - 9*c_1010_10^2 + 10*c_1010_10 - 5, c_0101_10 + c_1010_10 - 1, c_0101_11 + c_1001_1 + c_1010_10^4 - 3*c_1010_10^3 + 6*c_1010_10^2 - 5*c_1010_10 + 2, c_0101_3 - c_1001_1*c_1010_10^4 + 4*c_1001_1*c_1010_10^3 - 9*c_1001_1*c_1010_10^2 + 10*c_1001_1*c_1010_10 - 5*c_1001_1 - c_1010_10^3 + 3*c_1010_10^2 - 5*c_1010_10 + 2, c_0101_8 + c_1010_10^5 - 5*c_1010_10^4 + 14*c_1010_10^3 - 21*c_1010_10^2 + 18*c_1010_10 - 5, c_1001_1^2 + c_1001_1*c_1010_10^4 - 3*c_1001_1*c_1010_10^3 + 6*c_1001_1*c_1010_10^2 - 5*c_1001_1*c_1010_10 + 2*c_1001_1 + c_1010_10^3 - 2*c_1010_10^2 + 3*c_1010_10 - 1, c_1010_10^6 - 6*c_1010_10^5 + 20*c_1010_10^4 - 40*c_1010_10^3 + 51*c_1010_10^2 - 38*c_1010_10 + 13 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_8, c_1001_1, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 234975104433446154611801817570904727/506180775966451262805953340491\ 9760*c_1010_10^14 + 3682327997050123480425856797074499047/379635581\ 9748384471044650053689820*c_1010_10^13 + 131420938342460830894879012142401842763/151854232789935378841786002\ 14759280*c_1010_10^12 + 131288887942649945752018656340591415711/379\ 6355819748384471044650053689820*c_1010_10^11 + 1225389941047527596714328189596708255807/15185423278993537884178600\ 214759280*c_1010_10^10 + 5231246746599450154599864475776191819/4017\ 3077457654862127456614324760*c_1010_10^9 + 67540530579182807267466470388032024533/4338692365426725109765314347\ 07408*c_1010_10^8 + 2409723355666367602165379673354321359719/151854\ 23278993537884178600214759280*c_1010_10^7 + 739552650417159702508938410464742376751/506180775966451262805953340\ 4919760*c_1010_10^6 + 315346887588654610198776345134008829461/25309\ 03879832256314029766702459880*c_1010_10^5 + 54591315664534003287462349733277314953/6327259699580640785074416756\ 14970*c_1010_10^4 + 43450578239645620122990392456159656106/94908895\ 4937096117761162513422455*c_1010_10^3 + 125324489803664980381965380010944766121/759271163949676894208930010\ 7379640*c_1010_10^2 + 61004739332334167908778430723780670877/151854\ 23278993537884178600214759280*c_1010_10 + 3275203022629104584631050967572139967/50618077596645126280595334049\ 19760, c_0011_0 - 1, c_0011_10 - 41208008986602730222333/117502743422295835757240*c_1010_10^\ 14 + 1256208043732721043779981/176254115133443753635860*c_1010_10^1\ 3 + 24550153883711316754600247/352508230266887507271720*c_1010_10^1\ 2 + 13091134826835009640844372/44063528783360938408965*c_1010_10^11 + 263079694247093832306120673/352508230266887507271720*c_1010_10^10 + 37731473444501018590009639/29375685855573958939310*c_1010_10^9 + 115187835111107611863657359/70501646053377501454344*c_1010_10^8 + 602570216503086104139347441/352508230266887507271720*c_1010_10^7 + 188299261673819504686368499/117502743422295835757240*c_1010_10^6 + 81140123976159352131149049/58751371711147917878620*c_1010_10^5 + 14953425052408406221035342/14687842927786979469655*c_1010_10^4 + 25328056554059027041935533/44063528783360938408965*c_1010_10^3 + 41219541919537803436568279/176254115133443753635860*c_1010_10^2 + 20884726759701404381841523/352508230266887507271720*c_1010_10 + 1380062546423887662152463/117502743422295835757240, c_0011_11 + 53162492793386081116291/176254115133443753635860*c_1010_10^\ 14 - 3474914506175945760660049/528762345400331260907580*c_1010_10^1\ 3 - 13334822756520802446133987/264381172700165630453790*c_1010_10^1\ 2 - 47081004739109271338324891/264381172700165630453790*c_1010_10^1\ 1 - 185874905964508817218413661/528762345400331260907580*c_1010_10^\ 10 - 28011044851791186014926909/58751371711147917878620*c_1010_10^9 - 23997525515182552665291979/52876234540033126090758*c_1010_10^8 - 214039544474456909142043097/528762345400331260907580*c_1010_10^7 - 13928130380484492169418522/44063528783360938408965*c_1010_10^6 - 21671148836963432906280323/88127057566721876817930*c_1010_10^5 - 7712493561753015974405801/88127057566721876817930*c_1010_10^4 - 187215243235243172253239/264381172700165630453790*c_1010_10^3 + 5536220847963914873108066/132190586350082815226895*c_1010_10^2 + 8447519673679572727116599/528762345400331260907580*c_1010_10 + 287332599310242178723651/44063528783360938408965, c_0011_3 + 43240103297311280037673/176254115133443753635860*c_1010_10^1\ 4 - 645401998582800122815693/132190586350082815226895*c_1010_10^13 - 26926440967851645330870407/528762345400331260907580*c_1010_10^12 - 29901980337935473374740149/132190586350082815226895*c_1010_10^11 - 312832382111714523572821933/528762345400331260907580*c_1010_10^10 - 30844946393999069647049671/29375685855573958939310*c_1010_10^9 - 145022894492158105868415863/105752469080066252181516*c_1010_10^8 - 765830343783059609354138741/528762345400331260907580*c_1010_10^7 - 241211537558273662211533109/176254115133443753635860*c_1010_10^6 - 52226632971876845400985837/44063528783360938408965*c_1010_10^5 - 78790492800013277057307863/88127057566721876817930*c_1010_10^4 - 135679424986454117448221117/264381172700165630453790*c_1010_10^3 - 28410221510193851081149492/132190586350082815226895*c_1010_10^2 - 28593440104547639013599893/528762345400331260907580*c_1010_10 - 1849721640159893936995703/176254115133443753635860, c_0011_4 - 43240103297311280037673/176254115133443753635860*c_1010_10^1\ 4 + 645401998582800122815693/132190586350082815226895*c_1010_10^13 + 26926440967851645330870407/528762345400331260907580*c_1010_10^12 + 29901980337935473374740149/132190586350082815226895*c_1010_10^11 + 312832382111714523572821933/528762345400331260907580*c_1010_10^10 + 30844946393999069647049671/29375685855573958939310*c_1010_10^9 + 145022894492158105868415863/105752469080066252181516*c_1010_10^8 + 765830343783059609354138741/528762345400331260907580*c_1010_10^7 + 241211537558273662211533109/176254115133443753635860*c_1010_10^6 + 52226632971876845400985837/44063528783360938408965*c_1010_10^5 + 78790492800013277057307863/88127057566721876817930*c_1010_10^4 + 135679424986454117448221117/264381172700165630453790*c_1010_10^3 + 28410221510193851081149492/132190586350082815226895*c_1010_10^2 + 28593440104547639013599893/528762345400331260907580*c_1010_10 + 1849721640159893936995703/176254115133443753635860, c_0101_0 + 2543309517311869066409/44063528783360938408965*c_1010_10^14 - 363834267978845975765257/264381172700165630453790*c_1010_10^13 - 935918526385697385029926/132190586350082815226895*c_1010_10^12 - 1849621408023085170843608/132190586350082815226895*c_1010_10^11 + 643273772383758691439776/132190586350082815226895*c_1010_10^10 + 1639318073747503093750803/29375685855573958939310*c_1010_10^9 + 3260315851803038444160869/26438117270016563045379*c_1010_10^8 + 19024113049643419394731787/132190586350082815226895*c_1010_10^7 + 13838300924888028863907241/88127057566721876817930*c_1010_10^6 + 12402294110754038478420137/88127057566721876817930*c_1010_10^5 + 12031263838006596948474629/88127057566721876817930*c_1010_10^4 + 22588479486443891959251491/264381172700165630453790*c_1010_10^3 + 12544170973116132166989647/264381172700165630453790*c_1010_10^2 + 2817976582130615896133237/264381172700165630453790*c_1010_10 + 149982153599596702603211/44063528783360938408965, c_0101_10 + 25390820819035883991139/88127057566721876817930*c_1010_10^1\ 4 - 3134917316079793890857717/528762345400331260907580*c_1010_10^13 - 29462836804216519151253457/528762345400331260907580*c_1010_10^12 - 60698422367806512478343473/264381172700165630453790*c_1010_10^11 - 72956517131581244958106112/132190586350082815226895*c_1010_10^10 - 53169332547472554585315687/58751371711147917878620*c_1010_10^9 - 115770853907320698362471245/105752469080066252181516*c_1010_10^8 - 146984469597958565929665709/132190586350082815226895*c_1010_10^7 - 182058951746718660057862039/176254115133443753635860*c_1010_10^6 - 38796256848931356036882797/44063528783360938408965*c_1010_10^5 - 54482685014611710055794973/88127057566721876817930*c_1010_10^4 - 86387066680970587623648967/264381172700165630453790*c_1010_10^3 - 32806862711367393950966419/264381172700165630453790*c_1010_10^2 - 8675819823738746701502809/264381172700165630453790*c_1010_10 - 1175762091667811607061543/176254115133443753635860, c_0101_11 - 19298608337712842006357/117502743422295835757240*c_1010_10^\ 14 + 587796476607540488700979/176254115133443753635860*c_1010_10^13 + 11528882728830015253196983/352508230266887507271720*c_1010_10^12 + 6127023177938009824051153/44063528783360938408965*c_1010_10^11 + 122346548472222782213101577/352508230266887507271720*c_1010_10^10 + 8680008612736769931698508/14687842927786979469655*c_1010_10^9 + 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