Magma V2.19-8 Tue Aug 20 2013 23:46:30 on localhost [Seed = 2177362839] Type ? for help. Type -D to quit. Loading file "K14n19420__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n19420 geometric_solution 11.24131825 oriented_manifold CS_known -0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.550864683452 1.092830908808 0 2 3 4 0132 0213 2310 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889130413250 0.761251963863 5 0 1 0 0132 0132 0213 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.359219564696 0.372304092957 6 1 4 0 0132 3201 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.354599613991 0.813019140181 7 3 1 5 0132 0213 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.472904933953 1.394190780495 2 8 4 8 0132 0132 1230 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434983900771 0.876993754387 3 9 7 10 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0.631670394282 0.366747237417 4 10 11 6 0132 2031 0132 0132 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322232023267 0.866152892887 5 5 11 9 3012 0132 1023 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.519143901582 0.805792896763 8 6 10 11 3120 0132 2031 3120 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 0 0 0 0 0 0 0 0 0 0 0.659615069056 0.432392045191 7 11 6 9 1302 0132 0132 1302 0 0 0 0 0 -1 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570814712546 0.828090135132 9 10 8 7 3120 0132 1023 0132 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 -1 2 0 0 0 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.086170405923 0.841210527620 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0110_10']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : negation(d['c_0110_10']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_1001_0']), 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : d['c_0101_11'], '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_0011_4'], '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_0101_7'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : d['c_0101_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0110_10']), 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_0']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_0101_9']), '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' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_3']), '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_7'], 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0101_1'], '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_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_0']), '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_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_7'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0011_4']})} 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_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_7, c_0101_9, c_0110_10, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t + 20303206605245640736890887955732558229/7287750850062668813289538004\ 76973891945*c_1001_0^20 + 31490569217693834090128468104992059851/14\ 5755017001253376265790760095394778389*c_1001_0^19 + 607293948489821995562247356428889502651/728775085006266881328953800\ 476973891945*c_1001_0^18 + 1534905870572667484797609569246893939816\ /728775085006266881328953800476973891945*c_1001_0^17 + 41697437432273691232631806126219815415/1121192438471179817429159693\ 0414982953*c_1001_0^16 + 2469162128202243612716162798340686953596/7\ 28775085006266881328953800476973891945*c_1001_0^15 + 24189985902143601673202146337904220637/1325045609102303420598097819\ 0490434399*c_1001_0^14 - 43436819215736611762108176619541909537/112\ 11924384711798174291596930414982953*c_1001_0^13 - 6262440238877956924228107284177416675673/72877508500626688132895380\ 0476973891945*c_1001_0^12 - 719843910117227473939043707487092676361\ 6/728775085006266881328953800476973891945*c_1001_0^11 - 651167341380547426215184293718639659723/560596219235589908714579846\ 52074914765*c_1001_0^10 - 8734295418277627735797129579436251085944/\ 728775085006266881328953800476973891945*c_1001_0^9 - 11050901190079600018680146742436871309662/7287750850062668813289538\ 00476973891945*c_1001_0^8 - 733140201529988916492709651691306487340\ 4/728775085006266881328953800476973891945*c_1001_0^7 - 3377512315138826248805997183340717051277/72877508500626688132895380\ 0476973891945*c_1001_0^6 - 810727213471355258252542037083505326277/\ 728775085006266881328953800476973891945*c_1001_0^5 - 1296294346370279449298158073557000781983/72877508500626688132895380\ 0476973891945*c_1001_0^4 - 2298266275781868354918420660117064164799\ /728775085006266881328953800476973891945*c_1001_0^3 - 166765355936993523138326577861667455488/662522804551151710299048909\ 52452171995*c_1001_0^2 - 592390584897522864730796490102322272916/72\ 8775085006266881328953800476973891945*c_1001_0 - 77894368528668451850405833335588650501/7287750850062668813289538004\ 76973891945, c_0011_0 - 1, c_0011_10 - 509253143457844649399770/3151457852045303284213519*c_1001_0\ ^20 - 5679219063952913227261873/3151457852045303284213519*c_1001_0^\ 19 - 29138276035220268331949363/3151457852045303284213519*c_1001_0^\ 18 - 91034406713647614797113259/3151457852045303284213519*c_1001_0^\ 17 - 187827412900913150963401711/3151457852045303284213519*c_1001_0\ ^16 - 229849426836028275808778893/3151457852045303284213519*c_1001_\ 0^15 - 75032009524215996232496162/3151457852045303284213519*c_1001_\ 0^14 + 239994225098711696491727149/3151457852045303284213519*c_1001\ _0^13 + 515131586317728866281966712/3151457852045303284213519*c_100\ 1_0^12 + 552450273338384875484654272/3151457852045303284213519*c_10\ 01_0^11 + 578738248091966341617569779/3151457852045303284213519*c_1\ 001_0^10 + 652650016593574660815426767/3151457852045303284213519*c_\ 1001_0^9 + 725094712719557246510674488/3151457852045303284213519*c_\ 1001_0^8 + 466280496212384710891325799/3151457852045303284213519*c_\ 1001_0^7 + 123897781896134635364815563/3151457852045303284213519*c_\ 1001_0^6 - 106881653066823095376519369/3151457852045303284213519*c_\ 1001_0^5 + 180206021591983403979969/3151457852045303284213519*c_100\ 1_0^4 + 103334186263244313089675417/3151457852045303284213519*c_100\ 1_0^3 + 153137346435674798736844095/3151457852045303284213519*c_100\ 1_0^2 + 56700206206720296258040815/3151457852045303284213519*c_1001\ _0 + 13952200836219810039649774/3151457852045303284213519, c_0011_3 - 1361130073814662907986673/3151457852045303284213519*c_1001_0\ ^20 - 11650359795765990232275279/3151457852045303284213519*c_1001_0\ ^19 - 47893095620629980409725558/3151457852045303284213519*c_1001_0\ ^18 - 121396265305514788738003774/3151457852045303284213519*c_1001_\ 0^17 - 198257717831673845814963725/3151457852045303284213519*c_1001\ _0^16 - 133062152664141800095789226/3151457852045303284213519*c_100\ 1_0^15 + 80763717009852014582208509/3151457852045303284213519*c_100\ 1_0^14 + 364566164187809930632909716/3151457852045303284213519*c_10\ 01_0^13 + 430471126295603148461737448/3151457852045303284213519*c_1\ 001_0^12 + 476073044985322030291407165/3151457852045303284213519*c_\ 1001_0^11 + 493909679918406814765040260/3151457852045303284213519*c\ _1001_0^10 + 623287370592355559489459123/3151457852045303284213519*\ c_1001_0^9 + 462370683793624965839774412/3151457852045303284213519*\ c_1001_0^8 + 228727900922321401763634922/3151457852045303284213519*\ c_1001_0^7 - 66239511761879056558915997/3151457852045303284213519*c\ _1001_0^6 - 22926163497621931339029809/3151457852045303284213519*c_\ 1001_0^5 + 31133670648506507203433587/3151457852045303284213519*c_1\ 001_0^4 + 133331439436434823263244087/3151457852045303284213519*c_1\ 001_0^3 + 66390886792603036517026299/3151457852045303284213519*c_10\ 01_0^2 + 29785450939053955265820284/3151457852045303284213519*c_100\ 1_0 + 1061200217922029497919777/3151457852045303284213519, c_0011_4 + 2805019520506502381266306/3151457852045303284213519*c_1001_0\ ^20 + 24927804833721546581912629/3151457852045303284213519*c_1001_0\ ^19 + 106857496238841785085693441/3151457852045303284213519*c_1001_\ 0^18 + 285002744061101105147248801/3151457852045303284213519*c_1001\ _0^17 + 500558403566644695100158823/3151457852045303284213519*c_100\ 1_0^16 + 432589684465378216933370368/3151457852045303284213519*c_10\ 01_0^15 - 38842974882394619856861247/3151457852045303284213519*c_10\ 01_0^14 - 786375460514707708165837595/3151457852045303284213519*c_1\ 001_0^13 - 1158850488988984757828373014/3151457852045303284213519*c\ _1001_0^12 - 1344228097824142302248888872/3151457852045303284213519\ *c_1001_0^11 - 1413485083454148515581885994/31514578520453032842135\ 19*c_1001_0^10 - 1698665281183897255792374647/315145785204530328421\ 3519*c_1001_0^9 - 1470699343253636346705430866/31514578520453032842\ 13519*c_1001_0^8 - 899141816304854438337362908/31514578520453032842\ 13519*c_1001_0^7 - 94191091959538459536170000/315145785204530328421\ 3519*c_1001_0^6 + 70654399777063027748643507/3151457852045303284213\ 519*c_1001_0^5 - 29018749703304977707775285/31514578520453032842135\ 19*c_1001_0^4 - 293263823422587759905864055/31514578520453032842135\ 19*c_1001_0^3 - 241701508191550055339193116/31514578520453032842135\ 19*c_1001_0^2 - 127082485498579371082097463/31514578520453032842135\ 19*c_1001_0 - 32223634203299610050450548/3151457852045303284213519, c_0101_0 + 12432660719486396635504/3151457852045303284213519*c_1001_0^2\ 0 + 963569431322535751211727/3151457852045303284213519*c_1001_0^19 + 7972524109831385352206227/3151457852045303284213519*c_1001_0^18 + 32861319390801883452672648/3151457852045303284213519*c_1001_0^17 + 84366756737507272103681222/3151457852045303284213519*c_1001_0^16 + 140359666267457016121913350/3151457852045303284213519*c_1001_0^15 + 103930295473670017383811403/3151457852045303284213519*c_1001_0^14 - 46590449296490268232608284/3151457852045303284213519*c_1001_0^13 - 250011275248339692407336627/3151457852045303284213519*c_1001_0^12 - 319326335510982764369578886/3151457852045303284213519*c_1001_0^11 - 344805331234063705578710143/3151457852045303284213519*c_1001_0^10 - 363987876197449357281750895/3151457852045303284213519*c_1001_0^9 - 442812545426654248502602653/3151457852045303284213519*c_1001_0^8 - 353128637558464607592588736/3151457852045303284213519*c_1001_0^7 - 178577273520832146261635846/3151457852045303284213519*c_1001_0^6 + 31697327134971919400094925/3151457852045303284213519*c_1001_0^5 + 34432783872711196555945785/3151457852045303284213519*c_1001_0^4 - 18436177425945174627150177/3151457852045303284213519*c_1001_0^3 - 92571156404453290946230474/3151457852045303284213519*c_1001_0^2 - 57636796970140828074063210/3151457852045303284213519*c_1001_0 - 22998409266806328050614229/3151457852045303284213519, c_0101_1 - 201333223597683772247609/3151457852045303284213519*c_1001_0^\ 20 - 1796713064553210823506093/3151457852045303284213519*c_1001_0^1\ 9 - 7738326391620854999394720/3151457852045303284213519*c_1001_0^18 - 20681095683314867695081185/3151457852045303284213519*c_1001_0^17 - 36209637393797201604396677/3151457852045303284213519*c_1001_0^16 - 30765627785599410089468061/3151457852045303284213519*c_1001_0^15 + 4686349971216158817552346/3151457852045303284213519*c_1001_0^14 + 59413027502535665633707092/3151457852045303284213519*c_1001_0^13 + 81493548558763218444078053/3151457852045303284213519*c_1001_0^12 + 92816293871446267114670615/3151457852045303284213519*c_1001_0^11 + 97415445925689123572673613/3151457852045303284213519*c_1001_0^10 + 126647961175775607807049792/3151457852045303284213519*c_1001_0^9 + 102650206640420005779046351/3151457852045303284213519*c_1001_0^8 + 63173272522737032465961360/3151457852045303284213519*c_1001_0^7 + 1964445442186252087827120/3151457852045303284213519*c_1001_0^6 + 1456467004854469597649127/3151457852045303284213519*c_1001_0^5 + 1464422407719351456021595/3151457852045303284213519*c_1001_0^4 + 24955041378125220188502273/3151457852045303284213519*c_1001_0^3 + 12391926709355054446491618/3151457852045303284213519*c_1001_0^2 + 11632171615898118990747204/3151457852045303284213519*c_1001_0 + 866961432673101308214579/3151457852045303284213519, c_0101_11 - 3260083977310598178538873/3151457852045303284213519*c_1001_\ 0^20 - 28174287745875261645117014/3151457852045303284213519*c_1001_\ 0^19 - 117070848441069880769106919/3151457852045303284213519*c_1001\ _0^18 - 300556141432243555098907245/3151457852045303284213519*c_100\ 1_0^17 - 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