Artin representation data - 9.8569013633921581056.18t274.a

Formats: - HTML - YAML - JSON - 2025-12-20T05:08:41.197261

• artin_reps •

  Column	Type
  BadPrimes	jsonb
  Baselabel	text
  CharacterField	smallint
  Conductor	numeric
  Container	text
  Dets	text[]
  Dim	smallint
  GalConjSigns	jsonb
  Galn	smallint
  GaloisConjugates	jsonb
  GaloisConjugatesSigns	integer[]
  GaloisLabel	text
  Galt	integer
  HardPrimes	jsonb
  Hide	smallint
  Indicator	smallint
  Is_Even	boolean
  NFGal	jsonb
  NumBadPrimes	smallint
  Proj_GAP	integer[]
  Proj_Polynomial	numeric[]
  Proj_nTj	integer[]

  
  {'BadPrimes': [2, 3, 73], 'Baselabel': '9.8569013633921581056.18t274.a', 'CharacterField': 1, 'Conductor': 8569013633921581056, 'Container': '18t274', 'Dets': ['1.24.2t1.a.a'], 'Dim': 9, 'GalConjSigns': [1], 'Galn': 8, 'GaloisConjugates': [{'Sign': 1, 'Character': [[9], [-3], [1], [3], [-3], [1], [-1], [0], [0], [-3], [1], [1], [1], [-1], [-1], [0], [0], [0], [1], [0]], 'GalOrbIndex': 1, 'HardFactors': [21, 22, 15, 23, 17], 'LocalFactors': [[[1], [-9], [36], [-84], [126], [-126], [84], [-36], [9], [-1]], [[1], [3], [0], [-8], [-6], [6], [8], [0], [-3], [-1]], [[1], [-1], [-4], [4], [6], [-6], [-4], [4], [1], [-1]], [[1], [-3], [0], [8], [-6], [-6], [8], [0], [-3], [1]], [[1], [3], [0], [-8], [-6], [6], [8], [0], [-3], [-1]], [[1], [-1], [-4], [4], [6], [-6], [-4], [4], [1], [-1]], [[1], [1], [-4], [-4], [6], [6], [-4], [-4], [1], [1]], [[1], [0], [0], [-3], [0], [0], [3], [0], [0], [-1]], [[1], [0], [0], [-3], [0], [0], [3], [0], [0], [-1]], [[1], [3], [6], [10], [12], [12], [10], [6], [3], [1]], [[1], [-1], [0], [0], [-2], [2], [0], [0], [1], [-1]], [[1], [-1], [2], [-2], [0], [0], [-2], [2], [-1], [1]], [[1], [-1], [0], [0], [-2], [2], [0], [0], [1], [-1]], [[1], [1], [2], [2], [0], [0], [-2], [-2], [-1], [-1]], [[1], [1], [0], [0], [-2], [-2], [0], [0], [1], [1]], [[1], [0], [0], [1], [0], [0], [-1], [0], [0], [-1]], [[1], [0], [0], [-1], [0], [0], [-1], [0], [0], [1]], [[1], [0], [0], [1], [0], [0], [-1], [0], [0], [-1]], [[1], [-1], [0], [0], [0], [0], [0], [0], [-1], [1]], [[1], [0], [0], [1], [0], [0], [1], [0], [0], [1]], [[1]], [[1], [0], [0], [0], [0], [0], [-1]], [[1], [-1], [1], [-1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '8T47', 'Galt': 47, 'HardPrimes': [2, 3, 7, 73, 89], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [8, 0, 10, 36, -24, -14, 11, -4, 1], 'NumBadPrimes': 3, 'Proj_GAP': [0, 0], 'Proj_Polynomial': [8, 0, 10, 36, -24, -14, 11, -4, 1], 'Proj_nTj': [8, 47]}
• artin_field_data •

  Column	Type
  ArtinReps	jsonb
  ComplexConjugation	smallint
  ConjClasses	jsonb
  FrobResolvents	jsonb
  Frobs	jsonb
  G-Gens	jsonb
  G-Name	text
  Polynomial	jsonb
  QpRts	jsonb
  QpRts-minpoly	jsonb
  QpRts-p	integer
  QpRts-prec	integer
  Size	numeric
  TransitiveDegree	smallint

  
  {'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.24.2t1.a', 'Character': [[1], [1], [1], [-1], [1], [1], [-1], [1], [1], [-1], [1], [-1], [1], [1], [-1], [1], [-1], [1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.1752.2t1.a', 'Character': [[1], [1], [1], [-1], [-1], [1], [-1], [1], [1], [-1], [1], [-1], [-1], [1], [1], [1], [-1], [-1], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.73.2t1.a', 'Character': [[1], [1], [1], [1], [-1], [1], [1], [1], [1], [1], [1], [1], [-1], [1], [-1], [1], [1], [-1], [-1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.1752.4t3.d', 'Character': [[2], [2], [2], [0], [0], [-2], [0], [2], [2], [0], [-2], [0], [0], [-2], [0], [2], [0], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '4.42048.6t13.b', 'Character': [[4], [4], [4], [0], [2], [0], [0], [-2], [1], [0], [0], [0], [2], [0], [0], [-2], [0], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '4.73668096.12t34.b', 'Character': [[4], [4], [4], [-2], [0], [0], [-2], [1], [-2], [-2], [0], [-2], [0], [0], [0], [1], [1], [0], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '4.224073792.12t34.b', 'Character': [[4], [4], [4], [0], [-2], [0], [0], [-2], [1], [0], [0], [0], [-2], [0], [0], [-2], [0], [1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '4.127896.6t13.b', 'Character': [[4], [4], [4], [2], [0], [0], [2], [1], [-2], [2], [0], [2], [0], [0], [0], [1], [-1], [0], [0], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.516266016768.12t201.a', 'Character': [[6], [2], [-2], [-2], [0], [-2], [2], [3], [0], [-4], [2], [0], [0], [0], [0], [-1], [1], [0], [0], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.12390384402432.12t202.a', 'Character': [[6], [2], [-2], [-4], [0], [2], [0], [3], [0], [-2], [-2], [2], [0], [0], [0], [-1], [-1], [0], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.2390120448.8t47.a', 'Character': [[6], [2], [-2], [4], [0], [2], [0], [3], [0], [2], [-2], [-2], [0], [0], [0], [-1], [1], [0], [0], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.57362890752.12t200.a', 'Character': [[6], [2], [-2], [2], [0], [-2], [-2], [3], [0], [4], [2], [0], [0], [0], [0], [-1], [-1], [0], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '9.22027350048768.16t1294.a', 'Character': [[9], [-3], [1], [3], [3], [1], [-1], [0], [0], [-3], [1], [1], [-1], [-1], [1], [0], [0], [0], [-1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '9.4757907610533888.18t272.a', 'Character': [[9], [-3], [1], [-3], [3], [1], [1], [0], [0], [3], [1], [-1], [-1], [-1], [-1], [0], [0], [0], [1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '9.1850906944927061508096.18t273.a', 'Character': [[9], [-3], [1], [-3], [-3], [1], [1], [0], [0], [3], [1], [-1], [1], [-1], [1], [0], [0], [0], [-1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '9.8569013633921581056.18t274.a', 'Character': [[9], [-3], [1], [3], [-3], [1], [-1], [0], [0], [-3], [1], [1], [1], [-1], [-1], [0], [0], [0], [1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '12.710748266851991619108864.36t1763.a', 'Character': [[12], [4], [-4], [-2], [0], [0], [-2], [-3], [0], [2], [0], [2], [0], [0], [0], [1], [1], [0], [0], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '12.1233937963284707672064.24t2821.a', 'Character': [[12], [4], [-4], [2], [0], [0], [2], [-3], [0], [-2], [0], [-2], [0], [0], [0], [1], [-1], [0], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '18.40770575183604138200561361226825728.36t1758.a', 'Character': [[18], [-6], [2], [0], [0], [-2], [0], [0], [0], [0], [-2], [0], [0], [2], [0], [0], [0], [0], [0], [0]], 'CharacterField': 1}], 'ComplexConjugation': 6, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6, 7, 8]}, {'Size': '6', 'Order': 2, 'Representative': [1, 2, 5, 7, 3, 6, 4, 8]}, {'Size': '9', 'Order': 2, 'Representative': [6, 8, 5, 7, 3, 1, 4, 2]}, {'Size': '12', 'Order': 2, 'Representative': [2, 1, 3, 4, 5, 6, 7, 8]}, {'Size': '24', 'Order': 2, 'Representative': [3, 4, 1, 2, 6, 5, 8, 7]}, {'Size': '36', 'Order': 2, 'Representative': [2, 1, 4, 3, 5, 6, 7, 8]}, {'Size': '36', 'Order': 2, 'Representative': [2, 1, 5, 7, 3, 6, 4, 8]}, {'Size': '16', 'Order': 3, 'Representative': [6, 2, 3, 4, 5, 8, 7, 1]}, {'Size': '64', 'Order': 3, 'Representative': [6, 2, 3, 5, 7, 8, 4, 1]}, {'Size': '12', 'Order': 4, 'Representative': [1, 2, 4, 5, 7, 6, 3, 8]}, {'Size': '36', 'Order': 4, 'Representative': [2, 6, 4, 5, 7, 8, 3, 1]}, {'Size': '36', 'Order': 4, 'Representative': [2, 6, 5, 7, 3, 8, 4, 1]}, {'Size': '72', 'Order': 4, 'Representative': [3, 4, 6, 8, 1, 5, 2, 7]}, {'Size': '72', 'Order': 4, 'Representative': [2, 1, 4, 5, 7, 6, 3, 8]}, {'Size': '144', 'Order': 4, 'Representative': [4, 3, 1, 2, 6, 5, 8, 7]}, {'Size': '48', 'Order': 6, 'Representative': [8, 2, 5, 7, 3, 1, 4, 6]}, {'Size': '96', 'Order': 6, 'Representative': [2, 1, 3, 7, 4, 6, 5, 8]}, {'Size': '192', 'Order': 6, 'Representative': [4, 3, 2, 6, 8, 5, 1, 7]}, {'Size': '144', 'Order': 8, 'Representative': [3, 4, 2, 6, 8, 5, 1, 7]}, {'Size': '96', 'Order': 12, 'Representative': [6, 2, 4, 5, 7, 8, 3, 1]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 4, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 2]}, {'Data': 0, 'Classes': 8, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 3]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['-713792256', '14908032', '692560', '-62304', '-520', '64', '1'], 'ConjugacyClass': 2}, {'RootOf': ['10825365304791428962756374581523973750057088028413952', '643400112394062093004574488861870479687740795658240', '58057945772132364729328020608025498369484563339264', '-466510079524244041299482709181888400924376737792', '-154962383353543354064341226961700065146371350784', '-20754984014506211576484180207439130900622605312', '-1680936040814181187047968596339077062250080000', '-84157500982263895423363220501961413658788608', '-2251365834541033724983406937452151088444304', '129009356270986312755973551876507674243360', '17972927253497219982618206374778190107224', '1225582409207041249496642054059219563608', '58432311324984864295121639024793191313', '1504534168039454664281403634281632936', '-42534350947620435775084276122304108', '-8162119020798262346408347455214264', '-568888558044959228004544274392542', '-25989247037021735800892426144168', '-795143895443828416718956675428', '-8816889851245472556105404048', '838670208609230416070505487', '73737592584953958662461200', '3354071133675695514452456', '87825867957582288648720', '326838775602569802956', '-84807493878296807600', '-4235550195272237904', '-108631172991881160', '-1212612100023233', '23677631365320', '1507269533060', '39903472680', '694315458', '8491192', '71772', '384', '1'], 'ConjugacyClass': 6}], 'Algorithm': 'RES', 'CycleType': [1, 1, 1, 1, 2, 2]}, {'Data': 0, 'Classes': 10, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 4]}, {'Data': 0, 'Classes': 17, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 2, 3]}, {'Data': 0, 'Classes': 7, 'Algorithm': 'CYC', 'CycleType': [1, 1, 2, 2, 2]}, {'Data': 0, 'Classes': 14, 'Algorithm': 'CYC', 'CycleType': [1, 1, 2, 4]}, {'Data': 0, 'Classes': 9, 'Algorithm': 'CYC', 'CycleType': [1, 1, 3, 3]}, {'Data': 0, 'Classes': 16, 'Algorithm': 'CYC', 'CycleType': [1, 2, 2, 3]}, {'Data': 0, 'Classes': 20, 'Algorithm': 'CYC', 'CycleType': [1, 3, 4]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['-47886073856', '10374168576', '-1335152640', '142435328', '-11048832', '686208', '-36600', '1404', '-42', '1'], 'ConjugacyClass': 3}, {'RootOf': ['135669245160433942106998312960', '101619400025837469826956640256', '-10543730674358654296680398848', '-541305082159835575322238976', '-1400442174089931262082152448', '198807792029147284156719104', '-19619051098974983519406080', '-265076772628850549245952', '118988126542019201119488', '497262879463090725888', '162343718055588463616', '-35301930026238401024', '81353295358766720', '-22020487561283328', '3700292367872128', '22565716180480', '1936262826720', '-180950792640', '-3130745312', '-122860864', '3598176', '133120', '5368', '72', '1'], 'ConjugacyClass': 5}], 'Algorithm': 'RES', 'CycleType': [2, 2, 2, 2]}, {'Data': {'Powers': [1, 3], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['-430369056225390164443136', '62887062079799178559488', '387296037907218825216', '-3590604211110063112192', '900909442323877724160', '-126862037448413675520', '12442438392169627648', '-930312267018731520', '55730169803194368', '-2759055330283520', '114931787642880', '-4063614923520', '122325894976', '-3124345344', '66999024', '-1181040', '16428', '-168', '1'], 'ConjugacyClass': 12}, {'RootOf': ['6251500475843301708000417024650827033742236827166730415506471365059123504424893292097646928009062439190528', '-351538623193668225838302807662506091140046377447067195012745258110608389459918942953006637157295427944448', '247033070352813806756448372877764237617580478406591948683595459717016829443430630120367194643640178704384', '50100622033028656504246974750219056569810091704366717353360554359987529918105369680910738799726740635648', '1743207477068261703948120314570351027921682626107166752457649848367742781461667859175094646910320902144', '697419899330824587066324625477722952180024588608076591480305082281102530783184869808414098830120714240', '65906887424103238183513468033936590163719464154948891232690077275558158448713137755649450501472256000', '-1038150594565602117563365333673208474605346625200855365466944402040676153764884174333312325715492864', '-83757825972453228900367551612766701083553645911074947746830004586456849097703899073991976062812160', '-17826566258032169978338465162607615825164154159860453852751460291444764232183372313911099459108864', '-3350910886286979344304569358546436869352246373305251360817792660478466743384616745320652237438976', '-84506039794431659678307348550466295135088651264568605369507397755145118802256978599299577282560', '10407216962405433932323173750861901317118057448791208526708154884802277336934714577829876465664', '1010889498970165966842250832180400912287589980885042086856239444428928192322490660671604129792', '28857494722919943175774060413321831394648434024218038157219266297641828555670013911469391872', '-1329904746207851693130330510186592455376398331297767435023303103318840561379761990162972672', '-126054640389459873364553828187059533801902941811291821851241168576115936423348441914015744', '-8659648281795470913929975307389070229398375654874532855213113289824912349901178848411648', '-381233369621432452508198081889656613120490514497851042941550462931305910774137696026624', '-2022896065931811864474724333162116291968641882997779052081128703229694890575696756736', '629925364800266103105482359728110293350663352933615440796190581341549134825650126848', '79915152604286433315761450392866096235465193514533738098728106050471947112481292288', '4332708744649696775815007052615218222634518547756678624709875082182180600337661952', '131264103767387401980890291790899942884496698840277510942644881108832738670018560', '-725902477896148696561662707807719218219638160899708639506877760151201788198912', '-449462203136467791101184148829517505880339059434277187921993815951161050529792', '-25387758877108194521282792533881806771463943624539269293100526670368477282304', '-874547444849494469884951568805865531913970819320033496530120605056049872896', '-2039405254267406961446880595976155293246186959636885195343279338108747776', '1195014230651210217528813475663455139729261732115762118337684362762387456', '73461769146710498490373070053867839007970391075950172159469568368050176', '2197067337301188562336265911107332764393125670140703891487434093887488', '17469379973972255941764503994443088720290865631247325302850408415232', '-1889086341709963358338073565302058964067321189863010868541524017152', '-108665558124812085425563781560814968643440540832427920040705130496', '-2812159451668430769365396027841698503273568028210825723522318336', '3585190838666586221945503428098539156391422902286200686510080', '3389620490684290865224507910248561934239499762827197352509440', '156719387895286119440551783781928773850981582642334287265792', '3315048112798305188740458658707985933249750377693371695104', '-12280407786126024928072400339754138201083863092026343424', '-3994315831733380571704069846080179648195916100052975616', '-162659877275953349501051644025577765193313751596793856', '-3477430558312231358536688109955077973966713334005760', '-5915058247857359245838503710937199463965356785664', '2601467747450305775543848638903259232333742997504', '113354465345489931879359604926568697733079760896', '2602744059344507251322639960057272326953369600', '22508793773188136232052216218057904252526592', '-956454748653433786547604058471833434390528', '-50805825238349289365233168979526447513600', '-1316830914054508761938147120757069676544', '-16906964153057511587570281230758531072', '140419027884788645039294682822967296', '14384757306572974855705052649594880', '409068097133641300573631310094336', '6677666061292681541265581149696', '26076826964683275026298175488', '-1981712467119590073697128448', '-71983256138825933211695104', '-1397214995243418907669248', '-16089745278499464399872', '-5396331376728547072', '4588614568343183360', '128390207487588288', '2292728907300096', '31446073751488', '343247576064', '3036899584', '21230016', '115088', '432', '1'], 'ConjugacyClass': 15}], 'Algorithm': 'RES', 'CycleType': [2, 2, 4]}, {'Data': 0, 'Classes': 18, 'Algorithm': 'CYC', 'CycleType': [2, 6]}, {'Data': {'Powers': [1, 3], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['4882148888657526784', '-4569427560131198976', '1909801355553275904', '-903094233486327808', '358875021176340480', '-91119785663594496', '24670749317337088', '-5294867615735808', '819230516815872', '-92596633806848', '7905630674688', '-521787380736', '26979898624', '-1095310848', '34628592', '-832992', '14568', '-168', '1'], 'ConjugacyClass': 11}, {'RootOf': ['295100289093747181972018808270755157115259769061376', '-120741754200462349310234910400581413200384078381056', '-2955961343704567850603410174217672398368692764672', '2175265923492677490584243020211467336860643098624', '336655885076359529045755743949261872267031216128', '34659387904616557088122709219864148598962782208', '2577097175797070358303233879205820240742055936', '154732049025227357415483899157547096410685440', '7982853871768453450963424199359553962246144', '362163542401805945462734479273737091809280', '16509187256830575097371691206168306253824', '789672580921522412923448875103538905088', '42595268194174820644679961461051621376', '2333126570708413725865873252464721920', '123006455520492209105135379540869120', '5928136644655592354895440734322688', '261256100735971407937265972805632', '10668305259213069563348146716672', '418202727200026626063803088896', '16447977503060231400379121664', '671666294062978232240504832', '28375240766950778507624448', '1199459053198416191029248', '48707691587863390715904', '1848789961402464813056', '64488963999072976896', '2050064725893763072', '59035275915270144', '1532518696410880', '35636908428288', '736086974208', '13336393728', '208193440', '2718912', '28448', '216', '1'], 'ConjugacyClass': 13}], 'Algorithm': 'RES', 'CycleType': [4, 4]}, {'Data': 0, 'Classes': 19, 'Algorithm': 'CYC', 'CycleType': [8]}], 'Frobs': [8, 17, 18, 15, 19, 19, 15, 11, 9, 13, 19, 20, 20, 18, 18, 13, 15, 20, 11, 14, 11, 20, 15, 17, 16, 18, 15, 19, 7, 19, 20, 15, 12, 13, 11, 15, 15, 18, 18, 16, 15, 17, 18, 18, 18, 19, 14, 20, 17, 15, 19, 18, 18, 20, 7, 13, 14, 15, 15, 19, 9, 8, 18, 9, 13, 11, 18, 18, 20, 7, 10, 16, 17, 20, 13, 14, 6, 20, 17, 18, 17, 15, 18, 18, 7, 15, 15, 16, 14, 20, 19, 2, 10, 15, 9, 9, 14, 19, 9, 19, 9, 6, 19, 19, 13, 18, 17, 7, 18, 18, 17, 15, 19, 11, 19, 4, 18, 18, 9, 10, 17, 11, 18, 19, 18, 13, 15, 18, 12, 17, 16, 13, 19, 20, 19, 18, 18, 16, 8, 20, 14, 9, 19, 17, 19, 2, 17, 17, 18, 18, 20, 19, 18, 5, 18, 11, 15, 19, 16, 16, 12, 17, 20, 19, 15, 18, 15, 20], 'G-Gens': [[2, 1, 3, 4, 5, 6, 7, 8], [3, 4, 1, 2, 6, 5, 8, 7], [2, 6, 3, 4, 5, 8, 7, 1]], 'G-Name': 'H1152', 'Polynomial': [8, 0, 10, 36, -24, -14, 11, -4, 1], 'QpRts': [['-11255441025497121714234937430041919137473834658224966410973663142109755721294017034711006550024724200050957599509434060288354860519949063815757037352050880504538629399479447956507472215581010799', '-4892300427807882773452155026956547527925603532360021924364787971272487818589179434200918120732803338072502164009466419617350492524580421362578417914106458040798942677611981719944423115306298808'], ['14023404635344844102615674905866273712344075843091000066011397296674021140267281255543305955875352042232536091101865307537547923440868060706455663071778263471654175991099048747025947790992075179', '4892300427807882773452155026956547527925603532360021924364787971272487818589179434200918120732803338072502164009466419617350492524580421362578417914106458040798942677611981719944423115306298808'], ['-16726951680368905904247864397277819047594930603574135778307788717665223054850464135464364294260513517447707115451747138674503096006152135936789054481871169554195671071227557575358843385950033150', '14984298561770141665337910192790163347459017516453971263920048951961818832188707482921158096192040090998123401772644645598235890547807112573388319516280307284432840274769844219569782438784568210'], ['-6354016649677886914185049766108832562247408154361095921281459189375567548177921015422721894676959357332647506599075749130499477162306669725649995534134214958640462013474295772761419661323783980', '0'], ['-17957480322371218816513888369118867181981165615568170785348659769611596961719898922733866969006501050273370149147488306986995818653314778246189023419781884890500622845070818483831601053767447125', '-14984298561770141665337910192790163347459017516453971263920048951961818832188707482921158096192040090998123401772644645598235890547807112573388319516280307284432840274769844219569782438784568210'], ['-12151901657234296029062134961742598323993128296421487458447277619464708552000964860387723973637665222242237877116644191703815989660223229926981806209540537855237351666098406573455554785142946558', '-2195793226930653715391734284206114702394515768302298667852161202336628021737316005700974303425530384953386905959946060589487994233966001836840772764278413786367451201797072848738282099607996504'], ['5103477185103056369519507491405594494241556445391516673908476215320608454314706887660607119855210762943243341026091626874287648343640128006038328128668103372615827087521562614061558640576465308', '0'], ['9383938047386573640681397485918243749122887111555453803409543464900443133027700639555424567787037380060659385524212944454622926739304233036283180489813154888121805074478805782937079209731882180', '2195793226930653715391734284206114702394515768302298667852161202336628021737316005700974303425530384953386905959946060589487994233966001836840772764278413786367451201797072848738282099607996504']], 'QpRts-minpoly': [6, 108, 1], 'QpRts-p': 109, 'QpRts-prec': 95, 'Size': 1152, 'TransitiveDegree': 8}