Magma V2.19-8 Tue Aug 20 2013 16:18:58 on localhost [Seed = 2261195754] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3121 geometric_solution 6.27794464 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 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 -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 1.924962952800 0.629973798231 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327831432577 0.705798844528 4 1 5 6 0132 0132 0132 0132 0 0 0 0 0 0 -1 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 -1 1 0 1 0 -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 0.339532462093 0.731942866217 5 6 4 1 1023 2310 2310 0132 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 0.339532462093 0.731942866217 2 3 4 4 0132 3201 1230 3012 0 0 0 0 0 -1 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 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 0.185571688964 1.238401569076 5 3 5 2 2031 1023 1302 0132 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 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 0.880140692493 0.964386301963 6 6 2 3 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0.543610104176 0.686497642908 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 2*c_0101_2 - 3, c_0011_0 - 1, c_0011_3 + 1, c_0011_6 + c_0101_2, c_0101_0 + 1, c_0101_1 + c_0101_2, c_0101_2^2 + c_0101_2 - 1, c_0101_4 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 75103022318726431560805632131815642160032475415377650/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^25 - 21865659775217888754257194365809083612725001270434814/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^24 - 119931297427544393910185940936679049962556365821972763/130715159904\ 484503557106855264277391933046038795419*c_0101_4^23 + 137726370979134205706742199133248040244277133535582596/130715159904\ 484503557106855264277391933046038795419*c_0101_4^22 - 856308080065253943251480388887585174069379892497597547/130715159904\ 484503557106855264277391933046038795419*c_0101_4^21 + 990468258111849367185881923768927972584084621496202275/130715159904\ 484503557106855264277391933046038795419*c_0101_4^20 - 1658114561033965783587451015676331170494044388514284816/13071515990\ 4484503557106855264277391933046038795419*c_0101_4^19 + 1012517318767722945069980883063171176557919167377384734/13071515990\ 4484503557106855264277391933046038795419*c_0101_4^18 + 2331897643182643029198895093599991308473321992117850079/13071515990\ 4484503557106855264277391933046038795419*c_0101_4^17 - 8078563890984286834409845224902751233824164604014746141/13071515990\ 4484503557106855264277391933046038795419*c_0101_4^16 + 16864386313336921968858577351485923526439817489052564604/1307151599\ 04484503557106855264277391933046038795419*c_0101_4^15 - 23626181279551461963486690852535540857801519548191546705/1307151599\ 04484503557106855264277391933046038795419*c_0101_4^14 + 26609159722778140608288677513935476046248686552461975513/1307151599\ 04484503557106855264277391933046038795419*c_0101_4^13 - 23404042863510928868624367164912206028289383879588630795/1307151599\ 04484503557106855264277391933046038795419*c_0101_4^12 + 16014054709150056185561517596740597056117953838874116403/1307151599\ 04484503557106855264277391933046038795419*c_0101_4^11 - 7740703578077930912431437127596320715744016955865330797/13071515990\ 4484503557106855264277391933046038795419*c_0101_4^10 + 1192703914979823030679384984994474270018380015465154860/13071515990\ 4484503557106855264277391933046038795419*c_0101_4^9 + 1895989203525364445589518909171261021716651640709427528/13071515990\ 4484503557106855264277391933046038795419*c_0101_4^8 - 2703479410038327079372947434835764079723207069019227074/13071515990\ 4484503557106855264277391933046038795419*c_0101_4^7 + 1873965528608722652470187453409450593390672318064191405/13071515990\ 4484503557106855264277391933046038795419*c_0101_4^6 - 1018634368934355244353841296057544894525714793666913944/13071515990\ 4484503557106855264277391933046038795419*c_0101_4^5 + 356876008087503619494208487723115688603971959336803228/130715159904\ 484503557106855264277391933046038795419*c_0101_4^4 - 102870615151051643796879073681319066576306685674003733/130715159904\ 484503557106855264277391933046038795419*c_0101_4^3 + 12719499717275326384553090460538892290302013659031570/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^2 + 4543623271030764042753945455285239789743559053528122/13071515990448\ 4503557106855264277391933046038795419*c_0101_4 - 2651964835858009221753559634348561808687503054323706/13071515990448\ 4503557106855264277391933046038795419, c_0011_0 - 1, c_0011_3 + 79560619040537970461817170364442557212431438350459/130715159\ 904484503557106855264277391933046038795419*c_0101_4^25 + 1541567117805205774724138710182446255210205113706715/13071515990448\ 4503557106855264277391933046038795419*c_0101_4^24 + 2887247815515799433426548152330564550500502460900217/13071515990448\ 4503557106855264277391933046038795419*c_0101_4^23 + 512162014006132081832551690697323606751242880811657/130715159904484\ 503557106855264277391933046038795419*c_0101_4^22 - 838656787568778023108942289211850599548977784271404/130715159904484\ 503557106855264277391933046038795419*c_0101_4^21 - 14208935648763240316523520259388691796674215636440741/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^20 - 17608786711873309623640435248823492227533245240485715/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^19 - 28336034991223223867975154433042503451997466105415206/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^18 - 42286484977212975989064876070429705042895445841096648/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^17 + 15647255769427205358699795246813534812485428191774720/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^16 - 62016722812436774533630167674819546679460267314610453/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^15 + 58156441142399680074150884793656810748181675936248812/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^14 + 2712595620290159162838655567265755193428697279234097/13071515990448\ 4503557106855264277391933046038795419*c_0101_4^13 - 17425323034628512470202124243318963878954460352036648/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^12 + 102135357825983164548620657810964913140405928333732229/130715159904\ 484503557106855264277391933046038795419*c_0101_4^11 - 82404190742753510026831478145238363511654980358054856/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^10 + 86579297834662245814093228278432032263806600875490828/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^9 - 40289724964478446287312983367454333422444712308658016/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^8 + 14373926742808704136645578081428172199675718571783705/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^7 + 5087488655039240469077862358931876249984040363635586/13071515990448\ 4503557106855264277391933046038795419*c_0101_4^6 - 11050694092920708332271597949602220625233571816111377/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^5 + 7973295187917906131922556517888604989490422636132317/13071515990448\ 4503557106855264277391933046038795419*c_0101_4^4 - 4625976907042578134631568981040280834794413516736481/13071515990448\ 4503557106855264277391933046038795419*c_0101_4^3 + 1475450066497848376041507450736222778271705297497020/13071515990448\ 4503557106855264277391933046038795419*c_0101_4^2 - 540612278164894788245050874291942121726694044688329/130715159904484\ 503557106855264277391933046038795419*c_0101_4 - 18660932990098094467046062658518176572944101548369/1307151599044845\ 03557106855264277391933046038795419, c_0011_6 - 3646707248022452958798728211284747857451249017257894/1307151\ 59904484503557106855264277391933046038795419*c_0101_4^25 - 3002808075569524911949838083211709620321503847693824/13071515990448\ 4503557106855264277391933046038795419*c_0101_4^24 + 3723373222877625544070020610816344124474525982432065/13071515990448\ 4503557106855264277391933046038795419*c_0101_4^23 - 466790029626447949051489154929609331312401906934586/130715159904484\ 503557106855264277391933046038795419*c_0101_4^22 + 40033422088469273478632438593274322709246667047689185/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^21 - 5024212694247881148258347358041419564288602566287729/13071515990448\ 4503557106855264277391933046038795419*c_0101_4^20 + 62057100874868399630772957913810173774693818048058750/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^19 + 10370845484646162852090970833559451717314829319057253/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^18 - 115182171684989837619159478938622393103477311649088748/130715159904\ 484503557106855264277391933046038795419*c_0101_4^17 + 243372601198348403238119867111815884129377817308164707/130715159904\ 484503557106855264277391933046038795419*c_0101_4^16 - 502848023480960305085856159106201662545038056387033054/130715159904\ 484503557106855264277391933046038795419*c_0101_4^15 + 541920941173962309683511151573264631644483297121910030/130715159904\ 484503557106855264277391933046038795419*c_0101_4^14 - 606633569234665831513346679659302263749977810094880171/130715159904\ 484503557106855264277391933046038795419*c_0101_4^13 + 455777865740891986367130933248188068086573232855463739/130715159904\ 484503557106855264277391933046038795419*c_0101_4^12 - 283608087406986835955127657843460742478644515426716904/130715159904\ 484503557106855264277391933046038795419*c_0101_4^11 + 133112172300278773520280092297274713121992472701944637/130715159904\ 484503557106855264277391933046038795419*c_0101_4^10 + 4631661741055474076369479696890986526455836490641743/13071515990448\ 4503557106855264277391933046038795419*c_0101_4^9 - 28076356162856526042342131407518012059659924135244864/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^8 + 55297908135730231135153857525794033070841769201720550/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^7 - 24902557419500655339170240788159761321000445805462334/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^6 + 20825264899390973699231912814900114017727931658451317/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^5 - 5544378370793591881722818761961907136934476571019776/13071515990448\ 4503557106855264277391933046038795419*c_0101_4^4 + 4030155926798361921744273429488427081215041419826530/13071515990448\ 4503557106855264277391933046038795419*c_0101_4^3 - 454815373371920610489363157799879694051933836764137/130715159904484\ 503557106855264277391933046038795419*c_0101_4^2 + 488783296432318861896514124658797844483592773209815/130715159904484\ 503557106855264277391933046038795419*c_0101_4 - 29087669682996328760035135198033425438595590767492/1307151599044845\ 03557106855264277391933046038795419, c_0101_0 - 6382016325633665233858836958137081192122440216060591/1307151\ 59904484503557106855264277391933046038795419*c_0101_4^25 - 2835939227151434695088813236190614184000452868936906/13071515990448\ 4503557106855264277391933046038795419*c_0101_4^24 + 6262654108598863341753826072397279306419734648310558/13071515990448\ 4503557106855264277391933046038795419*c_0101_4^23 - 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1634536752372994844171226916318984648490174306994142090/13071515990\ 4484503557106855264277391933046038795419*c_0101_4^13 + 1403729686251076610771607944018487877792093874775570503/13071515990\ 4484503557106855264277391933046038795419*c_0101_4^12 - 998877564704570451660732566233230862582083003709140041/130715159904\ 484503557106855264277391933046038795419*c_0101_4^11 + 508780143321481954498125023960426215996822419095802611/130715159904\ 484503557106855264277391933046038795419*c_0101_4^10 - 118967238618683966719819911246807849704030642073488792/130715159904\ 484503557106855264277391933046038795419*c_0101_4^9 - 84310183374484475771067826367503398929460926201057745/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^8 + 151946567659523751963957557663795600632435043363705442/130715159904\ 484503557106855264277391933046038795419*c_0101_4^7 - 116520329527223361066122007758502746222885167488112680/130715159904\ 484503557106855264277391933046038795419*c_0101_4^6 + 70561552398074440432843536423344362116705000005727899/1307151599044\ 84503557106855264277391933046038795419*c_0101_4^5 - 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