Magma V2.19-8 Tue Aug 20 2013 17:59:46 on localhost [Seed = 3187411275] Type ? for help. Type -D to quit. Loading file "10^2_85__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_85 geometric_solution 12.72176520 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 1 0132 0132 0132 2031 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 0 0 0 0 0 0 0 1 -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 0.562212443539 1.136092036559 0 0 5 4 0132 1302 0132 0132 1 1 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 1 0 0 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650101654971 0.707057853239 6 0 7 7 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 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637353706691 1.436874139574 8 9 5 0 0132 0132 3012 0132 0 1 0 0 0 0 0 0 0 0 1 -1 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 1 0 -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 0.331675422746 0.452006637820 8 10 1 11 2103 0132 0132 0132 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 0 0 0 0 0 0 0 -1 1 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 0.298290464125 0.528606127783 8 3 10 1 3120 1230 0132 0132 1 1 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 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 0.233795060145 0.865248039187 2 7 12 12 0132 0132 0132 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 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 0.565942931041 0.438195938073 2 6 2 9 2103 0132 0132 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 0 0 0 0 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742048433068 0.581535702854 3 9 4 5 0132 0321 2103 3120 0 1 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 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 1.057018233414 1.103577946593 7 3 12 8 3012 0132 3012 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.201961893270 1.149622397198 13 4 11 5 0132 0132 0132 0132 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 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 -0.291038090945 1.077097768287 13 13 4 10 2103 1302 0132 0132 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 0 0 0 0 0 0 1 -1 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 0.529125919526 1.631654101993 6 9 13 6 3120 1230 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 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 1.140990688707 1.151870389692 10 12 11 11 0132 1230 2103 2031 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 1 -1 0 0 0 1 -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 0.529125919526 1.631654101993 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_10'], 'c_1001_13' : d['c_0011_11'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0011_12']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_13' : d['c_0011_11'], 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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' : 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_12' : d['1'], 's_2_13' : 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_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : d['c_0011_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 'c_1100_13' : negation(d['c_0101_10']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0011_12']), 'c_1010_2' : negation(d['c_0011_12']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : negation(d['c_0011_5']), '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'], 'c_1100_12' : negation(d['c_0011_11']), '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_0']), '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_0110_13' : d['c_0101_10'], 'c_0110_12' : d['c_0101_2'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_11'], '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_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_0101_11']), 'c_0101_13' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_9, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 10969220775045389613527698899932970582134061/2043604464430989360896\ 24755962282231142792*c_1100_1^15 + 130728453791651344490805028642735436873340371/102180223221549468044\ 812377981141115571396*c_1100_1^14 - 3620345235602488342326052265197614696328956145/20436044644309893608\ 9624755962282231142792*c_1100_1^13 + 151584963590920464458283523592714810362383057/105340436310875740252\ 3838948259186758468*c_1100_1^12 - 665441160975421087735467595138011\ 21223508418349/102180223221549468044812377981141115571396*c_1100_1^\ 11 + 189956183439966141907954085047773143186782579965/2043604464430\ 98936089624755962282231142792*c_1100_1^10 + 561427814091880448332543073165292342972676659613/204360446443098936\ 089624755962282231142792*c_1100_1^9 - 35114712940398366837647410375977404163061546037/4644555600979521274\ 764198999142777980518*c_1100_1^8 - 76772014358334146210707428574251220339356221357/4644555600979521274\ 764198999142777980518*c_1100_1^7 - 932600804209847223557267212602741015239143336961/204360446443098936\ 089624755962282231142792*c_1100_1^6 - 4427746776985321495790019856559460472305894951/46445556009795212747\ 64198999142777980518*c_1100_1^5 - 417583233828999775012508702495133\ 92390316460973/102180223221549468044812377981141115571396*c_1100_1^\ 4 - 7321695457614134361261211337257837977525799329/1021802232215494\ 68044812377981141115571396*c_1100_1^3 - 2569190990057912659126867638164344889020887187/20436044644309893608\ 9624755962282231142792*c_1100_1^2 - 1433444999718413563605108756974917485585037245/20436044644309893608\ 9624755962282231142792*c_1100_1 - 172297622537291035416900454819648\ 940004342983/204360446443098936089624755962282231142792, c_0011_0 - 1, c_0011_10 + 592214156369845677994484501056191917/2847038819212857844659\ 0241844842885364*c_1100_1^15 - 142653333625069437301427208468509034\ 17/28470388192128578446590241844842885364*c_1100_1^14 + 199020284602969294310591740420872934353/284703881921285784465902418\ 44842885364*c_1100_1^13 - 818486486942577716165044488713648976951/1\ 4235194096064289223295120922421442682*c_1100_1^12 + 1896339017289837715596081101246854286230/71175970480321446116475604\ 61210721341*c_1100_1^11 - 12063627262907143728096188897941286941019\ /28470388192128578446590241844842885364*c_1100_1^10 - 27742355684577681781283608822141237328079/2847038819212857844659024\ 1844842885364*c_1100_1^9 + 4137900331125076720170057525408470351913\ /1294108554187662656663192811129222062*c_1100_1^8 + 3674352787338413857912089390038501384023/64705427709383132833159640\ 5564611031*c_1100_1^7 + 4030696959260929361931856984684982096687/28\ 470388192128578446590241844842885364*c_1100_1^6 - 103423120703441792287359958916095240521/647054277093831328331596405\ 564611031*c_1100_1^5 + 205698758845326192408641786358805101483/2847\ 0388192128578446590241844842885364*c_1100_1^4 + 300222253460593278999648643180224452307/142351940960642892232951209\ 22421442682*c_1100_1^3 + 29126701304467859617092513172995512533/711\ 7597048032144611647560461210721341*c_1100_1^2 + 147060326271672882029440529835174195081/284703881921285784465902418\ 44842885364*c_1100_1 - 196789677248748724828419618529374231/1423519\ 4096064289223295120922421442682, c_0011_11 + 2316970615875045161448295121923295939/569407763842571568931\ 80483689685770728*c_1100_1^15 - 55378353228333469609273722698936550\ 593/56940776384257156893180483689685770728*c_1100_1^14 + 384146361118289368573922587809280914149/284703881921285784465902418\ 44842885364*c_1100_1^13 - 6260828932545927495898660481596060189067/\ 56940776384257156893180483689685770728*c_1100_1^12 + 28505782724755662810568445837849126321783/5694077638425715689318048\ 3689685770728*c_1100_1^11 - 209286639845069341745050385804903111852\ 95/28470388192128578446590241844842885364*c_1100_1^10 - 116470615512763994012408984806307371908171/569407763842571568931804\ 83689685770728*c_1100_1^9 + 304502170030248677965856884084066734641\ 81/5176434216750650626652771244516888248*c_1100_1^8 + 31543253455163197537537400914497402331749/2588217108375325313326385\ 622258444124*c_1100_1^7 + 36061361410397335663237158596367918997605\ /14235194096064289223295120922421442682*c_1100_1^6 + 1527880433136453547442272572206799769841/51764342167506506266527712\ 44516888248*c_1100_1^5 + 5747495284431904034751129068492028510731/2\ 8470388192128578446590241844842885364*c_1100_1^4 - 672367238361888126849050914133232907839/284703881921285784465902418\ 44842885364*c_1100_1^3 - 6927185547183843587163727140135490483/1423\ 5194096064289223295120922421442682*c_1100_1^2 + 365713929842286444420989220027013317897/569407763842571568931804836\ 89685770728*c_1100_1 - 259951957934615031938791631936895381/5694077\ 6384257156893180483689685770728, c_0011_12 + 3204564608877822041621978061472352329/284703881921285784465\ 90241844842885364*c_1100_1^15 - 38349019916500083073177868358108275\ 377/14235194096064289223295120922421442682*c_1100_1^14 + 1065159810066281727839071931916921104931/28470388192128578446590241\ 844842885364*c_1100_1^13 - 2173728728033461425065759631617674969094\ /7117597048032144611647560461210721341*c_1100_1^12 + 39721065165536771981964884566225599522657/2847038819212857844659024\ 1844842885364*c_1100_1^11 - 148188919237874910564416598394416385292\ 08/7117597048032144611647560461210721341*c_1100_1^10 - 39695783528611479176804290419171667807365/7117597048032144611647560\ 461210721341*c_1100_1^9 + 42542860948644713409129793895967733242189\ /2588217108375325313326385622258444124*c_1100_1^8 + 21430368083338202495652381824810255425583/6470542770938313283315964\ 05564611031*c_1100_1^7 + 172492139375241031256424834518935131966827\ /28470388192128578446590241844842885364*c_1100_1^6 + 613326460983679124628591780364625110864/647054277093831328331596405\ 564611031*c_1100_1^5 + 4981963968150350741359625668222217675436/711\ 7597048032144611647560461210721341*c_1100_1^4 + 738881409350083102817126654053619947015/284703881921285784465902418\ 44842885364*c_1100_1^3 + 84993574428342463300861882173630652137/711\ 7597048032144611647560461210721341*c_1100_1^2 + 340011852939835417080498075246744135231/284703881921285784465902418\ 44842885364*c_1100_1 - 8945621542196793869522214900135653015/284703\ 88192128578446590241844842885364, c_0011_3 + 224375668555735304499906219030589823/56940776384257156893180\ 483689685770728*c_1100_1^15 - 2844025648069639376229807633513341301\ /28470388192128578446590241844842885364*c_1100_1^14 + 82202980727092263705473027710636311297/5694077638425715689318048368\ 9685770728*c_1100_1^13 - 714818118689611102296712559778270375915/56\ 940776384257156893180483689685770728*c_1100_1^12 + 3648722928181340443194436215177181655579/56940776384257156893180483\ 689685770728*c_1100_1^11 - 4065743679481127073273365501138478201627\ /28470388192128578446590241844842885364*c_1100_1^10 - 1263405525016434882470189101203908762575/14235194096064289223295120\ 922421442682*c_1100_1^9 + 4387787252936166034271927002757763813189/\ 5176434216750650626652771244516888248*c_1100_1^8 + 213911168696433383259162831221093299325/647054277093831328331596405\ 564611031*c_1100_1^7 - 39782333924399413630036041220989576910651/28\ 470388192128578446590241844842885364*c_1100_1^6 - 459211291502654899692213981723087154301/258821710837532531332638562\ 2258444124*c_1100_1^5 + 2302072168624386512693397189061370201307/56\ 940776384257156893180483689685770728*c_1100_1^4 + 177589132292139761671152106002000589261/569407763842571568931804836\ 89685770728*c_1100_1^3 - 369106010377160911234840905484972907003/56\ 940776384257156893180483689685770728*c_1100_1^2 - 66119830998813848916173930256888835539/5694077638425715689318048368\ 9685770728*c_1100_1 - 36670845540699448461568915865629522195/284703\ 88192128578446590241844842885364, c_0011_5 + 1025538464538611715297192786007789133/5694077638425715689318\ 0483689685770728*c_1100_1^15 - 123440176790961835554970048376366029\ 25/28470388192128578446590241844842885364*c_1100_1^14 + 86095609232617434404957064757071809049/1423519409606428922329512092\ 2421442682*c_1100_1^13 - 2832202681208948792479307892896370632669/5\ 6940776384257156893180483689685770728*c_1100_1^12 + 13129639562478472506996865583416693562235/5694077638425715689318048\ 3689685770728*c_1100_1^11 - 104980848215878193786697121763133984007\ 51/28470388192128578446590241844842885364*c_1100_1^10 - 23466525562527905230498765210886144973361/2847038819212857844659024\ 1844842885364*c_1100_1^9 + 3511511000202617740237045086719456919495\ 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