Magma V2.19-8 Tue Aug 20 2013 17:56:55 on localhost [Seed = 1393747786] Type ? for help. Type -D to quit. Loading file "11_237__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_237 geometric_solution 10.77635755 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3012 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 -1 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 0.562425389598 1.324555926291 0 0 5 4 0132 1230 0132 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224867735337 0.680683669464 3 0 5 6 3120 0132 3012 0132 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 1 -1 0 7 0 -7 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 0.605785379234 0.739416006925 7 6 0 2 0132 0132 0132 3120 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 0 0 0 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.367086814525 0.578619017794 8 8 1 9 0132 1302 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219372467755 0.737101532266 10 2 9 1 0132 1230 0132 0132 0 0 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 0 0 0 0 0 7 -7 0 -6 0 6 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 -0.264644498871 1.126192510639 9 3 2 10 0132 0132 0132 2031 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 0 0 0 -6 0 0 6 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085022979994 1.090695147938 3 9 10 11 0132 0132 0132 0132 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 7 -6 -1 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647568928614 0.551797540564 4 11 11 4 0132 2310 0213 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677217730457 0.639457623744 6 7 4 5 0132 0132 0132 0132 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 -7 0 7 6 0 0 -6 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.577976447638 1.457495336783 5 6 11 7 0132 1302 2103 0132 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 -6 0 6 6 0 -6 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 0.758178863291 0.492210614362 10 8 7 8 2103 0213 0132 3201 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 1 -1 6 0 -7 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 0.629089385004 1.246276642849 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_1001_11'], 'c_1010_11' : negation(d['c_1001_11']), 'c_1010_10' : d['c_1001_5'], '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_1'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_11']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : negation(d['c_1001_5']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_1001_5']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_0011_4'], 'c_1100_10' : d['c_0011_4'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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' : negation(d['c_0011_4']), 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_11']})} 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_1, c_0101_2, c_0101_5, c_1001_11, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 3801441903125055005524175441/1478498102692198849576960*c_1100_1^23 + 1293342395544770223994590649/73924905134609942478848*c_1100_1^22 - 4294228481518705010951715931/73924905134609942478848*c_1100_1^21 + 228205831609020493391463870381/1478498102692198849576960*c_1100_1^2\ 0 - 138092051509984521583157289691/1478498102692198849576960*c_1100\ _1^19 - 974754790258353293343796218437/1478498102692198849576960*c_\ 1100_1^18 + 570646461754095881683790222761/295699620538439769915392\ *c_1100_1^17 - 5425402183516022626743596833217/14784981026921988495\ 76960*c_1100_1^16 - 3053099624861889879615248887129/739249051346099\ 424788480*c_1100_1^15 + 11614180809693679641363391254323/3696245256\ 73049712394240*c_1100_1^14 - 4731760593656427210871414308039/739249\ 05134609942478848*c_1100_1^13 + 60128738304364480410336815980357/73\ 9249051346099424788480*c_1100_1^12 + 13997173917872617073096684594793/739249051346099424788480*c_1100_1^\ 11 - 78282780722740909162799292930391/739249051346099424788480*c_11\ 00_1^10 + 179927743332158407982145389607111/73924905134609942478848\ 0*c_1100_1^9 + 354700007882180831761789593301851/739249051346099424\ 788480*c_1100_1^8 - 200669830586255681101735542720041/2956996205384\ 39769915392*c_1100_1^7 - 133053410270450365751263494698231/18481226\ 2836524856197120*c_1100_1^6 - 8020323126220739400811689422701/46203\ 065709131214049280*c_1100_1^5 + 163541058013133613094066564115801/1\ 478498102692198849576960*c_1100_1^4 + 11221822330255917542092589775193/1478498102692198849576960*c_1100_1\ ^3 - 12132760880943367432548751982357/1478498102692198849576960*c_1\ 100_1^2 + 1674292850959805705141210318573/1478498102692198849576960\ *c_1100_1 - 39078491314261027655623894017/295699620538439769915392, c_0011_0 - 1, c_0011_10 - 541616585777666059/5448354262111682560*c_1100_1^23 + 483055250736255533/681044282763960320*c_1100_1^22 - 3379175475165721477/1362088565527920640*c_1100_1^21 + 37001870999741961631/5448354262111682560*c_1100_1^20 - 31975990380604570569/5448354262111682560*c_1100_1^19 - 25623001731629498291/1089670852422336512*c_1100_1^18 + 448690407237832784883/5448354262111682560*c_1100_1^17 - 184388504671863002943/1089670852422336512*c_1100_1^16 - 281474835502708618523/2724177131055841280*c_1100_1^15 + 170004214860846597439/136208856552792064*c_1100_1^14 - 3933413569299733776971/1362088565527920640*c_1100_1^13 + 11184555963038845710473/2724177131055841280*c_1100_1^12 - 1743690920952950132109/2724177131055841280*c_1100_1^11 - 10516378601246772320583/2724177131055841280*c_1100_1^10 + 29097082844530166552517/2724177131055841280*c_1100_1^9 + 40872834853384024398379/2724177131055841280*c_1100_1^8 - 169669712965481358366991/5448354262111682560*c_1100_1^7 - 11894777098172732933047/681044282763960320*c_1100_1^6 - 742290133251093924271/681044282763960320*c_1100_1^5 + 24831918807541385580527/5448354262111682560*c_1100_1^4 - 1360686309458743800745/1089670852422336512*c_1100_1^3 + 102786093432391362049/1089670852422336512*c_1100_1^2 + 6885920670016376251/5448354262111682560*c_1100_1 - 4220175935074507067/5448354262111682560, c_0011_11 - 419768942208834529/10896708524223365120*c_1100_1^23 + 1451080485259622749/5448354262111682560*c_1100_1^22 - 4908238386096204063/5448354262111682560*c_1100_1^21 + 26386022167515863091/10896708524223365120*c_1100_1^20 - 18536861286618748851/10896708524223365120*c_1100_1^19 - 104492199702801431931/10896708524223365120*c_1100_1^18 + 325438112368839917637/10896708524223365120*c_1100_1^17 - 638307765151321423767/10896708524223365120*c_1100_1^16 - 295515785291679061809/5448354262111682560*c_1100_1^15 + 645786604533708513673/1362088565527920640*c_1100_1^14 - 1378517069223063949471/1362088565527920640*c_1100_1^13 + 7342413218170221409171/5448354262111682560*c_1100_1^12 + 100752198450865491621/1089670852422336512*c_1100_1^11 - 8351234422356445347469/5448354262111682560*c_1100_1^10 + 20700524180912852478187/5448354262111682560*c_1100_1^9 + 7319431179657982610449/1089670852422336512*c_1100_1^8 - 23406189393300018344361/2179341704844673024*c_1100_1^7 - 51265344486752548559981/5448354262111682560*c_1100_1^6 - 11204310838800162228497/5448354262111682560*c_1100_1^5 + 18151534486540889173847/10896708524223365120*c_1100_1^4 - 465056510927324919727/10896708524223365120*c_1100_1^3 - 353712880819277127699/10896708524223365120*c_1100_1^2 + 496629487927152985/2179341704844673024*c_1100_1 - 19366151724994727/2179341704844673024, c_0011_3 - 163405030549872025/2179341704844673024*c_1100_1^23 + 2919566138579364583/5448354262111682560*c_1100_1^22 - 10231273858304100689/5448354262111682560*c_1100_1^21 + 56083905165038642971/10896708524223365120*c_1100_1^20 - 48980772288470751303/10896708524223365120*c_1100_1^19 - 192461805341311534547/10896708524223365120*c_1100_1^18 + 135798604729170580805/2179341704844673024*c_1100_1^17 - 1399713996404252687167/10896708524223365120*c_1100_1^16 - 414977935635807243277/5448354262111682560*c_1100_1^15 + 1282826252487285673763/1362088565527920640*c_1100_1^14 - 745671448985873498679/340522141381980160*c_1100_1^13 + 17035138873195676880679/5448354262111682560*c_1100_1^12 - 575306244549851494351/1089670852422336512*c_1100_1^11 - 15772478583909202831041/5448354262111682560*c_1100_1^10 + 44093302968521594632671/5448354262111682560*c_1100_1^9 + 61065398443828870004361/5448354262111682560*c_1100_1^8 - 257046667699505846494009/10896708524223365120*c_1100_1^7 - 13979437103000523686835/1089670852422336512*c_1100_1^6 - 4107447329193185450571/5448354262111682560*c_1100_1^5 + 36471021391696308764583/10896708524223365120*c_1100_1^4 - 11112920124031287535059/10896708524223365120*c_1100_1^3 + 1010020038399110713581/10896708524223365120*c_1100_1^2 + 21594495815695723393/10896708524223365120*c_1100_1 - 6540093545844321891/10896708524223365120, c_0011_4 - 8747962728077405/544835426211168256*c_1100_1^23 + 164879606347544173/1362088565527920640*c_1100_1^22 - 1211740228377217629/2724177131055841280*c_1100_1^21 + 3387928869211939469/2724177131055841280*c_1100_1^20 - 912253503339248049/681044282763960320*c_1100_1^19 - 1210355205975391677/340522141381980160*c_1100_1^18 + 40695430637095913083/2724177131055841280*c_1100_1^17 - 87631953723798189321/2724177131055841280*c_1100_1^16 - 20040525509353063257/2724177131055841280*c_1100_1^15 + 115357926250844001053/544835426211168256*c_1100_1^14 - 296914728429713789693/544835426211168256*c_1100_1^13 + 2246545573968983994811/2724177131055841280*c_1100_1^12 - 852369393058190390707/2724177131055841280*c_1100_1^11 - 1800180768017623502087/2724177131055841280*c_1100_1^10 + 1076461808056566931767/544835426211168256*c_1100_1^9 + 4936110230562876156819/2724177131055841280*c_1100_1^8 - 8483336078309094858317/1362088565527920640*c_1100_1^7 - 3159400923702218001399/2724177131055841280*c_1100_1^6 + 2155890865037022845073/1362088565527920640*c_1100_1^5 + 891997182876359736311/681044282763960320*c_1100_1^4 - 213107275718998640769/544835426211168256*c_1100_1^3 + 6418562734498298175/544835426211168256*c_1100_1^2 + 1171635101389195171/272417713105584128*c_1100_1 - 249093435878289207/1362088565527920640, c_0101_0 - 102405832644889453/2724177131055841280*c_1100_1^23 + 714534292696935323/2724177131055841280*c_1100_1^22 - 2442551707847804887/2724177131055841280*c_1100_1^21 + 1651904586770695651/681044282763960320*c_1100_1^20 - 4992613894711154417/2724177131055841280*c_1100_1^19 - 12521275378331095993/1362088565527920640*c_1100_1^18 + 80910927840291547537/2724177131055841280*c_1100_1^17 - 40358034554354473471/681044282763960320*c_1100_1^16 - 16534379470620138473/340522141381980160*c_1100_1^15 + 79104875379803952197/170261070690990080*c_1100_1^14 - 69364585229259728981/68104428276396032*c_1100_1^13 + 1892878563244176488849/1362088565527920640*c_1100_1^12 - 6186375912062788431/340522141381980160*c_1100_1^11 - 2001000981433672849677/1362088565527920640*c_1100_1^10 + 81011167131824960181/21282633836373760*c_1100_1^9 + 8555151907112534203097/1362088565527920640*c_1100_1^8 - 29435123410863313656691/2724177131055841280*c_1100_1^7 - 22730503170181354455387/2724177131055841280*c_1100_1^6 - 4565504848538585602201/2724177131055841280*c_1100_1^5 + 2062312367244477602693/1362088565527920640*c_1100_1^4 - 589021951440640846191/2724177131055841280*c_1100_1^3 - 3294122760529045473/681044282763960320*c_1100_1^2 - 347087445953115481/2724177131055841280*c_1100_1 - 105637936922406219/272417713105584128, c_0101_1 + 102405832644889453/2724177131055841280*c_1100_1^23 - 714534292696935323/2724177131055841280*c_1100_1^22 + 2442551707847804887/2724177131055841280*c_1100_1^21 - 1651904586770695651/681044282763960320*c_1100_1^20 + 4992613894711154417/2724177131055841280*c_1100_1^19 + 12521275378331095993/1362088565527920640*c_1100_1^18 - 80910927840291547537/2724177131055841280*c_1100_1^17 + 40358034554354473471/681044282763960320*c_1100_1^16 + 16534379470620138473/340522141381980160*c_1100_1^15 - 79104875379803952197/170261070690990080*c_1100_1^14 + 69364585229259728981/68104428276396032*c_1100_1^13 - 1892878563244176488849/1362088565527920640*c_1100_1^12 + 6186375912062788431/340522141381980160*c_1100_1^11 + 2001000981433672849677/1362088565527920640*c_1100_1^10 - 81011167131824960181/21282633836373760*c_1100_1^9 - 8555151907112534203097/1362088565527920640*c_1100_1^8 + 29435123410863313656691/2724177131055841280*c_1100_1^7 + 22730503170181354455387/2724177131055841280*c_1100_1^6 + 4565504848538585602201/2724177131055841280*c_1100_1^5 - 2062312367244477602693/1362088565527920640*c_1100_1^4 + 589021951440640846191/2724177131055841280*c_1100_1^3 + 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