Embedded newform data - 722.2.i.b.11.1

Formats: - HTML - YAML - JSON - 2026-01-31T10:09:02.872801

• mf_newforms •

  Column	Type
  Nk2	integer
  analytic_conductor	double precision
  analytic_rank	smallint
  analytic_rank_proved	boolean
  artin_degree	integer
  artin_field	numeric[]
  artin_field_label	text
  artin_image	text
  atkin_lehner_eigenvals	integer[]
  atkin_lehner_string	text
  char_conductor	integer
  char_degree	integer
  char_is_minimal	boolean
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  cm_discs	integer[]
  conrey_index	integer
  dim	integer
  embedded_related_objects	text[]
  field_disc	numeric
  field_disc_factorization	numeric[]
  field_poly	numeric[]
  field_poly_is_cyclotomic	boolean
  field_poly_is_real_cyclotomic	boolean
  field_poly_root_of_unity	integer
  fricke_eigenval	smallint
  has_non_self_twist	smallint
  hecke_cutters	jsonb
  hecke_orbit	integer
  hecke_orbit_code	bigint
  hecke_ring_generator_nbound	integer
  hecke_ring_index	numeric
  hecke_ring_index_factorization	numeric[]
  hecke_ring_index_proved	boolean
  inner_twist_count	integer
  inner_twists	integer[]
  is_cm	boolean
  is_largest	boolean
  is_maximal	boolean
  is_polredabs	boolean
  is_rm	boolean
  is_self_dual	boolean
  is_self_twist	boolean
  is_twist_minimal	boolean
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  minimal_twist	text
  nf_label	text
  prim_orbit_index	smallint
  projective_field	numeric[]
  projective_field_label	text
  projective_image	text
  projective_image_type	text
  qexp_display	text
  related_objects	text[]
  relative_dim	integer
  rm_discs	integer[]
  sato_tate_group	text
  self_twist_discs	integer[]
  self_twist_type	smallint
  space_label	text
  trace_display	numeric[]
  trace_hash	bigint
  trace_moments	numeric[]
  trace_zratio	numeric
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 2888, 'analytic_conductor': 5.765199025936444, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 361, 'char_degree': 36, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 57, 'char_parity': 1, 'char_values': [722, 57, [363], [25]], 'cm_discs': [], 'conrey_index': 7, 'dim': 612, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [154305802848881705064562144301362428950114523461893841255385233410119587363666809, 20456165516512016581366036276544494355305504632831450510303986339578299684947040377, 481634750527216924747587143783724633786785600962778576061638054341884202316156741279, -61119809611053917806574058710712574485322996909060249191318821819972308949876773506624, -4462655288330048534989983590409405597437667197736952162484762169007474715908728096133536, -58889372894019444896668981602781750491731209522782651134423019409402698579323622316858292, 6297503778398236717088062725170969852493845394778920289665375496190314851491547749919045917, 458621265452977200409113573840569889145729132659237771222004269040681774842009798939909617292, 18802371457863416739382366285280155049855854109414195150464628612906544501244549228490625798036, 617169070765077274568976231304720042043423425875891151757027249494706655075904329262889763279477, 18235568987565874330121356892535155198587716590829861604299568201097575741187541854600252625153142, 496934451413513279075221457678260049494509943921351280599059947578191424767301924323437586145873270, 12270393269613616460549498935148289109598761477481549973827400422032927260936725295073937879820605971, 268779911966926145143335593559120888103143229262875451553277464911224223670172419064018648200833919086, 5160223486482564643608726306596424459927453597890157539259551055691391296616493318660889470181296040169, 86363306304546869654684552306056068142278072004144656208674234233542938942834261750497617398451119656829, 1256190822695239440414440278051449550106818000029134767869233354944343061183180473166276386674664473900611, 15837016579102581387597886071786153839149167558559647382045264483852144210177217892896889624094294287418461, 172646380849465409298515707021613478306382583505750216359836542213069215748207540628522276873318670148609434, 1625427136751262219540390427425858590473042319298365795141889489260267054113255340618467363727332285004032444, 13222397154135077538673182919800944602211832394459596006116928094325979357730433232348574663942521028486141844, 93130368335350392320586639676408783291529435900402318428040825799992956808743735010567031649221162333333766678, 569382800441646802120532142250329284627686801470981196773894957627782218936327504966838375580778605940153907008, 3023334931829932247366151790224242893257217556089663473390829036562451458171431857474659895623179185068664068678, 13875014252959269324899632126736277767266212165795519319939765648028942764816995121532085642017917491256789897951, 54248328777830044779458171398205549629418174857970897968396535361083566257438735299519768056523332365813184439911, 175243084285174579362920356202079098864893606993903966728334197420587803380258757797808576758252782921039680885885, 437936553763825352842602910880832902254301939675817563455479206536511859593572546311040408837590534035113025547173, 701773711989263224639911642789548979646386527404273221383539687272145536845649337389672892270771623671357964978805, 76364504225238827968809991379023010165525872219882075981772713934264210884322624959494607257945428703849232640138, -2396340329261415941666473724056976829671489610022623050644013456662641855047803647986647434952910259668997703836042, 3965498932592406346122370759552250268370937686672051143281517301333547294327981903595840503633348157577883493195073, 89958558692382473382008538066483494334387782990905867477979025983906001034037403143230695710137516676149906604510363, 466568117687120380038849269286262918572758103591634572466304409789995374134819908410795656203097304025633442536482968, 1278402878719593122771416412942739293746761754147086171791405687868405266173416648358939803409643759182402328295610373, 928727756327114051440603942951330438897237820867483168696090991372360405022730403143749241500226405154599669181600466, -7869980282144227494972372929179618093543396432608286447314767208015633715842780649301602587542882451917767483185005509, -33850198136748810700837247480423122041626592903820191998539933926644154046955078205574731597071081009369560349111648888, -22501516458620070502492251814402782657409853843208292299828066036039427616876179821931827427539494689020321571569464129, 383088302970911167926149567014157660992514473972166331530459358524864407612062604728091775541488704276777448730685649395, 2107627175381972216595060057023120019191115799215658248483645147037002624492801032295122766770052773401311192837875977388, 4695860996438823110901631038662582715916627635710242499469873184029264392131740545292233326135539342167243515011715038207, -3776652378391409013953410964175091898207550428438194858023286711607852315744198141584756665308652429172993856335611327428, -56620012155975888685562133107310299917651790743794835169592663750271082586749441383051088170538323677168230113311976522376, -136987428307000683290665728050865422604573319776961554774643360341298796510926107277791013843007459999932576187514791110921, 136313023748281946773509031036127469917668567752659776139403000992019182713891082613095990170183438617600462500541113058797, 1846638421455852360148938736569770533140411209948778670935996234336385786988945444750514011716169178831798917311839764940686, 4636973065189093034866488911044471608685217243836755095914357616882047426350016367203492570706776090010360504987193146227854, -2957710519623744953447772602180700062674281000062360918521953309792189560568130129278929801056987252800402733960971881446903, -47722689895957623514104063927426438001286222420539715665897163316187653745624976343177725979246455703790138916526266264758454, -104738872422553922796630321424991458187316272316549797656484915304537451443474053288508166180600535285527482578312698834559161, 116624316161895452431436588490273776046553729057993422210942173600784913930483239613343356472472260473145864640609969830116531, 1347719193112239499257906077684189105367058461098194605616638200398348483242336789453183823522037043494517160754562539920809382, 3023962751396333705332516590158306218641140198774212767729227817780980616399226991592463055712763159279715071570756488510397167, -3316533736971575919437968125460268374432203638917564249918663904367231818989293122310999616043263708837682433182501481416487336, -31713753633401705120034078925565293192264710278191002033898301635273950263030456736790524162557555092422109473177750415665780209, -55600619392156303026545906993671796703962141626392113540547181180856101385231182035084492889203420359041569220941745577183142904, 90346066886868081009047476106150445346214982165755490876133069383492667624978417569462868539748675025914275692553605138488251842, 712527931530747317251361189005544301304046616997889345452507107924693826087115417144443458640215564335170067700340093760350245343, 1042542543988518388461454646112662288141712225586442738826275008540538305143763762095680661596655451154238948828197444820380772282, -3050253726925815094592464872309725447185168810011031216938493547876506628715873454066364066132598323600089262670626489770141562750, -12844128373377885450267507112274422832907596737719646170113133714091652574576503462115720588496785228826344005784596218986670863721, -8619699710021188483705162049585331621128278265599199044086317024078061332889974373535564828694495368860084273989652160993535476178, 64932163080153332718960393636946595594352902299542454617851745589688280139556760447523424373327834526541983772400039944158230758759, 230864848396281519635038813152662605345005085067830170324475004207051190074594321984303746321128616999097528666530025805542934678343, 36206809277452579548610285998109038057847065374141972694966075097874260285736450856947614645714748128203024800741101618505949826491, -1411987672978033303333147325419096199718662332418412171049202449297162049607307270538711154646420034536366436247152429901962937947176, -2632147538717810931509948515661913305866187134536977459258976055421193571510769998144673376829175727284885269376976090603936236236381, 2450685575457401735249782802186442084790166053867502795430351603947246141369695166920259551087189881610908712642308973432506364257575, 19608387135799951336516003128233452031917057558173681632686300515933017160171780838470482827154239808157186798857010205938972316366259, 27429512053655667961182679067286116929178304416886580896415296036081604320516092656463251041441912056034246639394262446268391902298044, -66134576096992470347182195230386717439557606894694014281359337850116569477307411513462249783399398957035750220076811939688246048419135, -259789341708740567775411575540348031313589752257556082309349658239271496913592262671606448779984100917427972582499383078536719254650579, -62139986245025372221767976245722558936818938921484883163348897571667272970489418795935477125183231447202541852521083776656506277287211, 1224925935728991084566286908933702217283875241717543043754102695539352244140421071052940466802645236529830436684487804619960767594396916, 2439074573596474935786880712148251924858502551091968573966563453670191958040107491711138883619642937356065506317433917763037455909155860, -1568122397915545304007087384466190437215314422873552265700379222078207947741411122007917044840259329780981479598077256222943807253244463, -14336740691187939467168656941389534151716743016289060033009365674820541293989716695749519301950721433528264975567105660172580549738382726, -16056400206768532589577713381578267630939778345766297989636731541143340703170085838507611399107031124566335325260134383601814280269053556, 42448808168511289937339420515009951294445091212385863676713095027869122558045505530060269473720035057032572228091790293443837575047139486, 147882880554905807123538563809214604063076898249677749631666278495626359919966165138924100863867511732297328823059351358811143458739362569, 18152149548007406429723475690202850224491945496536769873406673666504573142026163819823155816599487215596178732951066396571775940461828049, -561960793611147585360291914330420916985489820102510826311205148643502069001351168918044925776792468232732294220705765456119947861223764274, -892794928273487779836765489700660433242656546123567960645545240740258983021753989447452463591509914526719964040195654258159372990797567835, 1005747607917844592704327273820521696561877301964656729382969700951148111732362154092057834277478409845800848495160983734246792532581919706, 5251125913746724299564677034044813062519480527471820355537887120167901389200914818985394431431312999575014099193187301532875332360707232767, 4214423349984925747929027728073167569883191176459046985105983183404142856733012582190984411987103007024203198531321628325764816842298644360, -13103327928918621614507228645593387479534293447428912405620757069668626292908611564339469642001774351793534148727192686022663832839920273118, -30365469831313356053110828752942173613558770271410174493523889644259576329936879762356720030530690910149950307353531898698320717609457405638, 17849606329875474746850740178242756602536146969823729321464605054947600531116876742332031968079245167747207055484963906027867755870800387156, 136399029561909979475320549305725419825334994981229922229260070836797626550028779638737950451411340204361775671625611734086961747000923120750, 116892532868891376628026047250211265953995641707240104663055719666606423879582865065628567727727388549900959264108565951787206707718322783275, -252183131968434323458156585679782875851767735888056711790674846586985309832115457973495185488532339655001732487701942269269396846950100405822, -520110214151908192907646148260194949331959546985148066815061928363441427669832808183088410506104657750060435273396314764311818182713421548672, 358989342023819890156509464986821845860139622320035188711407881578982991247626492601099167181025148147487100904024402423984828525628078859706, 2118842914491788143756357037444743621419130184352245071023474857472491951222751242222518478527580755292427247324154090321583794484311138631126, 1183124728060836258280336847951109416295992225413816976890400070146152905656051858046257315997762501053745488231957881176967203308998996609880, -4876587063954606751751955366791124481183899221095414962788116010457846541833826338062563573899888536860902843521274331141274231626716464533455, -4788127346665088658531642261819531446838807303507404606328508135016962025984462830261061239463508293699897920785307245141954741347702786774229, 20130045727863502136725127793366294914760326797504650949455298187430433289593545952283351256447922597091719915099413327498460199619943123166941, 44398491509730103136255886673651208282930674059058784479482167607427693149864800064986260906100760000701023631642270973142660078318129442527175, -11721305753172883904787757005653648865942341802400013297496530802416969177246908269498863584317601564413532364468176022553927864735466573374438, -96897756795239695304763123139725491121166090740000405216250602548539551415288805667508034472529221596975949832108822569940281297589464542241122, 88336843847456127221430881244190760257371658517928249905924014240002583083594664680416091514679738792208297318562813062371274066103155518485639, 606076568861297296782415968979044448401632835057674705070712189377917438345839096229509079760038300200417550409826967447759375163104306988354556, 750407372541645621273552568180044411575622752541752365111268276101934463260282700594021864660439605982380678844789061189805160911118181261544693, 8996746746171744006252828479797060178225269089585227440523561805532953136508183590311907429986262746362505278546640721974486368039844636839321, -570385939559775181997393343827401107089101455284926406636874070345489890172414880944004173262202011827755076646002035443473718065567400381715669, 755306789369497995981408921103483207805362625483398335599247949987697621136130764470575658508243162747919873790857426822620735900880714160258839, 4804708407080037564547150663748540598107213437296344294758460773908250378841509214966373316784518166563179166489075760292395287300991921750068960, 10713645103479631985620502741512253230246730209290224634515194195176922831938628598741774465310924563895469991778141115272725141581250715179707406, 11663859047337189111811661289747705350461078145620064414640461385830282628219331863502154234412900493672288224548167189653495078811684464422730057, -2913290402473679034101272398938675049384678497692072876737121520126858487002497943369755936023526848309401148176967010623712999435406406211324734, -20263338203763823365203384334024376841370870137412958376515434644483999442877039460655009035556206698635339239426408197760337504506461033861910057, 2222918140105244770499962704366097973906369714256472277664537256383943897535432282928598796645868367743486617349766041715839051705738223185755414, 63103004212050575285910584789749912235439746602758432214763536284380216899422129598322420491909483822513495454329515039026508981074433665850633601, 69541652146137654175195043771891163311758925387807476260843842361123954827882647152537741520143237071647718973870044191751890690658985958723078503, -31200335848205509821128725902071127275401509636847751695291039938301462939209141207474160185831581991771937421730780165887430884586999230468344435, -152340196242734632838437398866579323959444321582825947640041765725912115683651734972636124321832636241957680176427813474419287703579558148524962512, -179684147229856611996082453501251703706252085679389846589518713554316653397050744007765062296358265604216042501140838883058130798254218066456963114, -58647246040037755121015587779150591858846075427381184748177998895844628080544867153969072137936442647288376348787410283350588268280963679679670238, 121531450114372284672472349278757720016025219786294799276859337329983356091293795135524670620191295608478440005609107740771714032622423723120893433, -180199908266575566514940843781125453867171488483455973850178501069089686003622752710679261545869645772521235273432555877910045791097511843841383364, -1276850456549463183598767211016374070105440498601126198990574734584700024368134920983868186377386747016199712226392425273190452127842141359396176235, -1546371467683997327095396633657526340520652562866803987970640802330927759844052142816847610336210412858622388706123933657788108450500025161889228959, 1129622643999910238169722398061254898893131999030757625611433703260681095529014324576733291432948745836790907535160799573540119193945926982985653565, 5059460394422444100537557321839447007062317297317147250359849303688418481427461627899855020636099422266237491549706642371119886311767526637235896987, 6190185572581391697441264517416400904554938873996378232706902559015844354723824296646375231161696212885294425404601512117216372411036912803067612545, 6345489344873532069101131655383943483495129848458526870016954330981506964849464226930953661622856352701540636374295007730079629833711683894367517737, 14207482791340632270599704992121072450834083890653387512638752017049720645386476666346865797156486739610938948008205738676116757938263948019668321916, 39033606183334344970366187198523559650494476231584078976392041603718152020027494435279949802510669233148464086091750463354208715066227071771337109394, 86917929903618538351964593059078751975520269813956721362157816630336178991372536984411595730634360431251146700464773367585463856824887160527358326750, 161110397979682019214091882924646438280612674993228577583335388713575394931865546329101701384358464992546010214634734173661797117517889094798149220921, 265593202976402004614411362329870793385315324894817839439296829718492097249899355122917303022775065010723528292669818217471571908080629856492363548726, 413490225849194667627027460749567071665810185673952854764917296336191372800230417593022851458084680987202985013797741371125889027710349666157879178711, 629344809336012313240169877947763365300813364590911322148714647204550230634948773300787631419900363553704864014876102340208562918527567399307854334760, 930499462073884689472139163021729234428611186365432127632054542946861649850858557757157668102782633650669648658955995305309931268979502249745523455149, 1304510633981826837685267640876357804404790314673930611553830339717989634406622747179616363755626578913737065499870238303082151170725334508941764706786, 1710414732354756101444573978000407541249194891600468388399680478716662595976706184744686006072523138279737846333683389404788589339784314567754757518980, 2131967668109929626140949309634314412984291966178922194120053214188650343138553636578460647005695435808027874118115211099531007246534033425498105783768, 2575544024779418984289532872410277601205867333797875077524548419659906033537271347542169649550051995746020807677339734542609446662751245344817191721917, 3008069114297228129971736733848797455319974520456377551220886255112652840545143423832186359422577829960375843797930697549884310162586581348407165502388, 3387554155020470255378913244868927565613003148423624809938540426285851217737471805034397900573745937433304684961250496481469930152945884682532331323079, 3662686893581473703124000989024504498376788354157562779129639999698745597789726357484447590814436492745167902902962004666816681221588636711151548678507, 3779645694423447231605437677413930388194411689191227723965389311058011541592982970348939929945471463277138623098075591437984452423883032892258652479203, 3745563350448538586493317215366593225389034379742315287988244737076357536693940232628554614788675469564076244475616899010914134218152192929791429792501, 3611189848928962994516407498084393845029138032262626326575853586638725946591008777762152773539250888329211437699389893053587224409963256019246806530023, 3430375712135175313871995578890484158367384472935886647617335470404667986361465847601283791442910102953625799773416959155336483443482734202083275208741, 3178636646201519230346094116141121756395549521678337586368648443846079690381330673126089076125230312489656246742974232566123987451015047300566883316446, 2809842513646855145688734503941730065175536134194771729981604700438759213833764453294955728596412850104263692259600947466542009293536077135157040814123, 2416812863210551620393552727549902407035363431923504030319978688055287481462061079485668709640139737212439026435321253131518094249056666842769882002950, 2127532295935778079431780391610499701036340977897581667487160656472185847509872404630974222306415784899183547325623377608315837584549770497120320992080, 1943300727561794420100276537217454055177661565028432980196454091793350155365138344318328877582285738024914445531653531926175190493190983330444151195324, 1789174335138379966112890813049230319190837392194098294804989752571817050463486953525735923590161140489251246054773888667262628720870958499087030301286, 1627325913478786604339822066604106666507144717905440552623676698667528235871022165105384709454373067261854490280684103189350056754484691561429645729582, 1462885273663303649973811050395653211712810200061671844204166636776000887659564362355564725961561433244310372722891447990879972764073426033129536668751, 1275934397480261349713563216846986061291584101163674246153020977742430961084709698041987550617540836827071066923936391496823888868223118911583127038252, 999085041935277243968960352726065557534277815720906475804467995745972372140162002909771307026131176375105490700212732246909163742192106041241147556887, 590054250895790869998103496328730798893957489671388087740134472671495715304001315674683305823961045391014843459202105301524216331174669261416481453709, 63114428355289011090024627317008466349217073505820564663674607878669788935194429329403239627729747588325266178471913698449084602118845550499514905476, -587092499200728460887766273796233223186025634907113440730336520665111296914825116472071007190545349246936392369783257089363290602007021648095951946171, -1370680254742365244390582655066174192274323231011491594806444093761488502963312419322696522233383337115052255110205661959786598941621415093750611380742, -2221123184513613988358193054507623960714387014454703395994874708673404187807237229627771017923877162466028667875966328341091628613887875473241821360894, -3030364865876297413127075096254371058588632408303965418564385542471591760173453938626192207876661084872201359991732963005111465923558404772320801988385, -3728135206298398434366431895853886561545751237462156961791379859734998807419833965115234703322761820794296596828625155971406781731375259409372778757886, -4269524276230992750184568255719284746481103711524153291138347318481806099977232147337663176682735129604076936335705661676855919297014968474825620583031, -4587215766369373893656744334426967578795289146107001601433003830211947213004789939716887927428079786448869584921700364682765829645300586973500417398180, -4618932538988663392632029113852915775171942764037012992820250541346826436733514248346104063569661887347029282350516245001870857385161415696634491682259, -4360373883135064615512273470745498614004270732480993273261067221832108475310870213318091869196967659427021365150949802785278095766774767274437494676245, -3845435283965337885601834611517307700437439522913497345278687091069750723016820076075479363147201707981299911019155764559805883410799610369229724410191, -3102967602449175154339239750735836998480799052637871181638352093814285893753993510062846292172812224102230873247247394283529440612117968494396024027466, -2183172093994384664887546548974522171028271153056902686202559137935454290042809974351753800228468234572361721818088064806776638671489088570521336812292, -1182924301344766787890332394731567094479064810285217673997383227653936587775747920457527927642038727346446209583519166840306289765942237294518474895139, -197586701208466004834651877984127605110996799566860104385357604018208083717656968868541015461439307930481385730751990832793028428011253702868473347873, 712436969947557486206955193732523098351727570767872678148846386963387282934625921330763019525133079370977404348056883581444058981891889816006955434810, 1495846837435830814143800974377222131657988555726269479111184577081031423674571125889988877454264424892915843550115183473312704577355077525713435854063, 2099155232048476689075607546500374644338955650023735779872431088266557957116808780245652079888734683097132955283581058969294576264888809297268944681876, 2495801014459054638000769935814707992589041115919639979681908206020911677018436496450475041843191282177729951311176385757303180343135656772302509435114, 2692167799735488870963739627736975108560908866380868798431785750256962119153621616435783554313459640974193948587337731898583196037954178170721065798787, 2701791600498680635318449178814146853856886031257193617063521588682236877430817098018559117691611462787869543819705578536765417548125172375720854493822, 2547008933115315925975777621915292116075133068248344326657028010583045814810560484226686844362937708272637103563683219026308715502971371216232168594927, 2270948152431514686549446392798233793385865401821103291307330276534728197508132555463779120046347751396002885474957189221038390265936658534265407161527, 1922380087694422189262477540754817184382653225248361159188205546379526744141926237710092491176434331313673554663046085633933577892101334974688142160230, 1541502422837758946782500056988179643537037979978744161548547425644196513198442337433771720887343114338356812651611803027281947346960389522351713542018, 1161754186871597514787951961661075913315431714737653063205647512038775726289207248351968490915850850304622457373217157177033840825675898820811640872872, 811267956284346571993316412859497498791425678783340859190613534681486327131248080472723881106580401951560036521263588379841061590677339078740911491171, 509129785932790025073062353348368472369379089681133311524148323285326584455061084776310483800601750628159601874916411118628019736891423675619525570116, 264151082763642795317277961730487174167830485347530133353178654354314578064135291650140310309862750740073447566081988484207245726330357654644169149985, 79014025625516333274759963035542830601366167216627219052836307996632972181037754873681514454185529166767434703557611531884621617440141053242775714169, -48103479481179246414199618985341969346296947920029377439150591229435329007581864940110755695967382876997641517793193455171421234151021841925574327936, -124655345993224883327965228037879487963398002101893101581256762606405493357395897692460527503077807761684330705590334633300880346193643216176286065429, -161023727467207364323969164993636312942859311134319397113216955368218837692051013103205024268021627484679025369328069656909037619497550518232890374497, -167775403719912263690254502316600303438136006921208768679831742806082864262630859085041233423417674253516561251696336126414291305618617336707783312491, -155107560825459105625811170708119749392986330601079215164210698955469400981991351459489597073456398057370252191861246424823611467001088561212261985178, -131293886113244665292746424276759918709763593942299318566798313461128836605892301629787753532961527177736928570744432589070329928801261620911762119999, -102532577611502148986843851061897326158345988254198031891319327427406374196522929512303625996840940156251023980700601769251521917931825616115740766135, -73659979634269415757493519855244765598313092305081324084220971546021428590251304844015813414181228888895320821395747040057291330393592066811856208416, -47722132346278819671404971485273750777414808997090740985145656476161647609711183729125090008037355739008166191838772032445671818749847002031995821800, -26310795862981129583668275788911984553574304514820769864801609021273552877535468982037456534906636933064557924352121491945105479680273818088494828155, -10151665763243629352884430420994393468972587259041253630406246834507532668101921926061471962365685242897570943345430954124235036139385897576138945932, 904767259561742628029604703881635061357565655743144688655135094277252879026680779806261421247265412911886802350960392062867097165381214792839322048, 7693689247039256658683790963910276732339130906515071386951880747422019149498648827465260657267704371340381778792422355924043425455789746817053874031, 11282081868837417231007552040994010508848576569372031955497044164648587638241733351620726419953514652895294599402889962801558881558553625892329866283, 12616978727127562685312391304238177917721530166042953691895419840775090736018413432697051620013309152494933609280905220676255542534078132782272745332, 12469096671237629529443413066314015926128589152013449627272410510834151551376245788931086879162686918175979642497208486837697590182348007435594362203, 11440662692939165469322806469521537002751383117713725749088851483772347887932988418444392604944944921454597747106481121500942333517578407865683986679, 9913785386794785308001174236871252191200669806053879301861398784018593444899945856723551748726808741916188226572142618983975251901376379541936512755, 8137197239717183572156844020931575312271980280497628795904657892889267602588161924408159028653872388675806062727898616365817682376223997687546284600, 6329658269022966042133465155194379135028446686100175570134262607506303399291796992242919913038346886752365036909361335309849155065080913796400121156, 4654463323661571598413092229752569154842496975537414406000379894993386161682352558974061732297406330191800340836092194840823754124527852426982637098, 3213783535555974366856318343539881991410164699182291027833673678279557105529911366552595323072449490329801824393734621498062064174091388569464605785, 2066598350161434677197763540802787948072148190274884538273933152892112630316554341621132796490586959822566766921651403076180814727327344525135251633, 1218566346877968445743808516455148181282131296793976201377891403706522649683916774668570675554549523858179272638563650696208759130449522713937512428, 632620766281651660736260629775497729500465118283886622444178690068797731893905284513518695755497975720931143851575952596395285023936491680934127338, 253600632332677947149355315662827139691185303033207082696562066307260664819549303188036637615449398846684558144845379343242611768231313889498067246, 25852925482576485895391734516499402303817642418066299745812642507985293898923296126002766412100005927868117950609749611113625630297226507042400875, -99859206441020781098566858101612833565518011890491619700092417669846984554977061258369759767824832382382629210228612067437661120746946956805398723, -161003092062839212486608364452042925036342091879253748453714273133831958809499236056354024706951934454965421135558531308598758333642085742174599017, -180570800182154589324834052883686764225668754030811103714122592239047577106559123221888304865619325449197087006683566529293160706593080354400866064, -174346413536535885078733132945852075057018706125467032506436375099672202989863885165287308028011563167716108010804032189303741135708311237420179261, -153997468621655322414429044901384289182121249358601697608099524578940919593451462026778148388882161072822041698606037773752459208616274182446880183, -126528430430809405250189259646654497077586339121752365034373950540634018451305691789945521224741618119030203681418671357060616230947034072614790815, -97362482661834552688417252144340951633863903338032622118678283689993772800192665157847683655855981591670540319171297701842438700528841296482790324, -70727256129454893571225674725601241145485810387931427842257891940902625717074370907438946793150804726458960165432120895182390593859314975798606646, -48576505001376396909802132226859529899165362726469473368539256428493378885532472440201395663560599693322019898548516088159655448211794822545097924, -31487205254214446104279070643074634340734864534062261581364858685620503278541040429086643097270771539679645680394941208574605176047454084871176075, -19260905569840341941210898085356622575375452366095176711996669514794808948765874586602142309148304187230361175646019920264491163189985465255664917, -11014732759397709315313462507365251572471541083374028730567635252461306656018298790207999318282166958662466838701502780876570436415918272573576379, -5662137687433506940334189446632456626009682690646861085337978868594847550148741758783386953787238224779161985190463070240070434448873901352287052, -2348157599024485277971386929351033721231841321039963814578309858756507053491776656726751615656210931261663133717254519634522878188297962006404175, -408833605141117552506272616201892485089285207075253516938606848169321976689193031695979779161310161680627600907611679538881387732263958270022002, 662564387811844613325807695302437694275430875416915877693660615509092105328517224925484896430194392654991512938845693703284250020307313793736084, 1163584639289769701922677101036418436028213174960043994300391895750207618664271802920917889013249035508676889918277919955909582654113210302627477, 1293552074543325754383571526520611614510927429900953451386779980442106000443965009789064335922081181010809316713248975997144140569927257604638273, 1214765590688387501486966553399224562081223000933253980089583923602808351788834610852445855970809708994752985347544239480747995370906834923074557, 1029554643538454417564486370837047569046156231573044611681569327789251170512335069119942616607258477274669848555445267004512900617190289111717977, 805852901027205566527978792492094172899695393791220211588552541438240077634429033721458163320376010221638470533885809353493310761579279797854490, 593982827798069616464504248158801950244887652435338768186099745904974908558169072381084126198354770085077415438187417801435005611054415428325899, 416879722513371408653899289333814657326156324829484181354329380832974719566786101895897603985531255475206219050139515798768351154095214850133213, 279317277339998600560429414091919095756598532496336720913438256123352992314836757799193340988886620299021862135940852714747413191894630448635641, 180085071866438974534764470145579227803330024832923091057358758699435999068813409588794268251218937813193219633334378531885341040512787945939963, 112420333735411369249677561947423777326184849141366298796423283621159517390357485711424130898799042384877857236525354083083964113232732987268352, 67448896231866991621203287109056228613033844072963974483904674909998272668291062870939423071989165881510763050710149199863945447368820840159905, 38681142489882747845721693055545947427677617501216119075556707561545686429380670123951297091397746344030265705264670219923344274229520981461489, 20981347453609346870001570802215947589788278800777822276940221163517334167153845461615520425229712307959175515726655019888826569168836372867360, 10261280464668877888211881416892323605267922476820452381868635312617746748475142255384516238423247733481929493307334543542904404495384781105892, 4093356729182482337367908577953125766726406267092839434640311182627057338203892920980138580133689258858880348381912677958782058267144406841495, 852856647766950645885791047357933740609836103368822567099589446547935306549421275261610212455287991412208246959930931806714248697384410896152, -684825210642958367441796480705550502641252913100049991583809681591275284113160018319023469473507250770191659692779006376115510804021967994580, -1238566259171737924986920866405738868654732972485758023637150103318693190691506381060384183419629417569007454130868235778452826381690975992231, -1253446216575328862394522305307358466143492113356643695835029147656724927828144273912690926571866929259211393721338684610781099155268154757066, -1049095790877299143614999614243892771197763628010190921757960297267643662478219140610320037063651595282188559111123793066095453640077389869957, -787821037113655173825492870703733953571194745088629683215879129907003333236433388882835035369149129522843667483122396247442948059901694718959, -538971030831694597449378385599480486953705841748128652223785271482627392098386745322413840595510501947276495778879498833752047549745146693033, -343319876732698755290310906647881655756325263271294449637258237280513727157756898552555780494701170294946633216529956976147388974058823362385, -205940418039296692022810019920300617923753220382851947729568660290354664195269560400226059442984650608138658372012034436319371330775817896180, -114286715964181925655137564450359309226052057059509399113824813410294833680518495484712373471226107923817993685388653120465297462303400684852, -58906768505064058960717553458687548501408317805196613748587263400447140733346298514272345413800256217956886904020138448167612895403323604003, -28484266179363091475302247365483473165324725519589524037326622891908635387533325895811367079127050643287751407289064087380097562168126625756, -12254161791455350627516481920364473360270130297363969883328916894085350278409020656390657597594685636074878054934739213063302437043721571514, -4337721012552664600450451063184584004646933280850070568801969104874335066740092401037667555125627352629901196796590452237491496846650646098, -945930168685927288499559787617982236288426213021119083643286814242042400961098976354553549427862515051133046528626065334060337821984976411, 540911991026272337079958693717554019659192594257721002761022678674895062487751581936821060079651543855900755121624865959978581529331057061, 1106686532938025824755225879727911043730312950865188796843977240986247748908286818977777145751066849702215284169989327388257558430606569283, 1148960321918554741237149207165852712841996620962406833788138287864714264981104202150011016141262875050930712004738832818852570966444632454, 1005892919460160612482807260987182587419921407037449119084386781835320022436030834401082500129849725758535328683561855843987720796572051142, 789368400757023663842946472725848242371211820104452576538812068674838151714602054234316650199649017347109728047781561863560427294649351522, 542210836607892130983985338468116843021881881722764947192824906060600719194551087507984164837446151566902579454122746130986339686359448399, 336290596816341323774578423329419060703159858797075056578854861729202921428605357611305349900925684538814302418590713431776215982179475231, 189935715965567576552857871400555673953839487455493151762196647247601584985810661354906006193022349404426851549640009099028510026460731933, 92349508208753708959831267765957552017866894436039282259738855212046309314187889702746171705238675085027578134648293311338177554091525469, 37869766384172572723123262463196043673197846134332185897073117703061742775310625981618239828840251146586445561867005292616980112230641264, 12595996573787552126873675353537005571815157274915219232274032877416842310892827458990979015765330002268353564713831823163296791334966267, 1792445139629467004590261853750963329835325661763514414111065359630401150696343837966618368733755192443455714646986535531496528709711489, -1481679845413738838582502373803830328498637459200911665070676010967709707350659584275323893096903149559381673984346326625212502671388444, -1568076228014236547503292076945201868666439836508671154364671146111307454997116265355164212382970548057287340578811362228797419695528920, -1211592434850597693478288267832729441304398797275379880148815581297860746843264885996981125286861199072135677100134644094687290579343314, -860694526806259747824013294289818311487882356186161531330452932923160435370107267842472539909891304850437185234132876836117889830631128, -550317143557405210490971950461668320164924221570326003230009228858352830768169711868372802824917106088688580655567294842206344899142222, -394951333228381717097415590663803395861496545285349253937493837362819360882655471180702343015888867941972681357184523846096635961749920, -289697270723996132197270336670814203307708507127149575783765708147687613040260720288798167085638765563849317955015737292855758239198597, -184665451621973275728071785614271880213274360470036365817368807755204469513676224275263369201521954764566186821598210083639181002113042, -113206423158511852525896291806525562626661832131050912245652137129417752925235805396392770682791125767366974683099064982313873171214036, -65390859284814133874497577990231665413665704444904342486030170554756197491786881115716246247922765802261729113282919385062868135760607, -31156327167402136077698660830442864507158451847272971841574131119314807676510503567208423503984529151625295425862864025365105712574592, -13508340545569233662654610081494622437348700267240071917501356800414510126341247517651573571073331873167380051020580143507794597517106, -5285546030766514838736521000754464886448583089892771928997678616013017819589354283638045052227719417097119730751245985692459652065616, -795453868699186348647659009884243794045380646032885046642257202147818164236447751335481964676154175417971292648798952542026418160720, 638421469732828692382790008118802557797309969878558205084553727025773709084946209333250953915576252126488148068842425700846413814278, 774937089514199794949321744198886757739266599121841957149467992493046785378045139168389417939294080540952799444981022976582390299956, 735116221406290766611453503041516226306948007021308840066320732152186560759354777000312452301080711047539179084996964971808878506044, 477655269996616320325154496136889448849196703426522773406663811834445780991410157230015178507727476919712833142515915375209274382574, 229360871974186252595204461514028497194209552639301932515987596048430667237019372090995791310402740369348677460801896359536331008695, 126805086662350283321913351655313664704795552177743424149089410593586381795978666980157022566974497322087558102684963614801328118907, 66344449351804543822117603024415290684582703698504216930437906574057994550933125893934974888317332955446655487093168241501735928225, 29630099743560205111179573664333162584667317188242529806411653778237186266352731182133629696674818967813733813657340919940548734121, 20009378251052685022396924913145580313783283317980188016296245222917001021523992826350482878596295287766554394061173540283548947379, 11569067866064250931850642916795667725142423593831317057281657549463575426867209734771052225223817668649826556885773313380727373420, 3733668480322151659631903135499060452168279043608006355143635501000753555751380311843835772225596355751246459793322394932890380033, 1193083019321887666451612717225820911942777572970221459225573098087422413301397312050593494607994013866838302751340379829353757992, -58783669371295267678697640062112800919736613428894447662242339448508454854951155068962355103249800420169579005319780379468451879, -699184338437925200263833971807707746089752809645174754833141610692390148180330713286935926896491693905465971271532943842537141153, -411954636555056058989885561650910401048377213091626761463921151089966279014297510361857959388594103568561161323414596842629248503, -199613122781569459127617780735946820816478256585027040221017566920947230708910931799428761107524051616677941363235896622597218198, -143012463557503979948057959185493318272705904029899154790627851200619131804212254545274709590300556903403110204052756816200492338, -48363772505824498957820165505642967465378970076147237967110898895674236712392499586086300830837375930406143592477014016781388772, -11434946808904641124437947105831444462624814186832942470996135088635866622013014751581187787452916451173804038421199678979015726, -8943317699154687415038625460719193240781775509397456273310981202533042933248128631852004242873520661803939663791180843646570473, 1820935170618897767174719667870047835564975673033345548443625108420431333079102405644940882869664736106213383791721081500915955, 2793272283839055246893977464235246407633790146857615218792340162540481148204126535660244721858261538144144590221840644321867849, -545785756408095489406991074292486037672045656745996738486645770333140378861108192124198095655699715599880966947945287481763114, -13495458178188680168442458129103374853981958409718765439781276971215961997597874806744516969997578107545338060632964884377652, 163366281668645813166306287281323530243221751116286371931603503567562597784462377324712228663314542441209303517594839836759967, -107788673792987530400758147333467928865981975571320422165723601390561471376729984299618750485672805112730563592515527251093658, 137391588245104939318878614140759689784570578481250124821223505916212283326845736993905702310837893775110827336736251313849253, 143458286586183244715564956483278899345696506627646757475555991827223519543111165108477851219141658821705285498591987361664552, 15597359864897154115559957537918747104199651977125480284438857600813310755140503373645905164638795878245053550731198346416235, 7688213939567571151510674673725668846397869428698586434256240444563488005118551026288641751452268444008846184078956167484494, 5575564741680001669451742095233040311610879526769949686846482397560404586330824008442573321533556730253316370946450089485329, -2998188090037646456694004279007282675821099805317472779233649808548944896667438445151672360672698120850173131756505852704324, 2721016664658846973290585544203277370913132498318745204042851769970849058869798397973945517700989484591608724020140560600957, 2801950023084842536098541281440864331572580340218803730606858964548973468519871336789173933339808745182427491662007527743639, -355395404004957347949598564553521408655721036638041784304453456836856391578194048050350265743628354623047955466513792276927, -627061830329064956034091243387666819302096752003806391004265283166283174470356727890621912752179488359986944668298681628747, -495098193463016266548788259935282179547847293646211030247811490220978035183999713010145242233850583869857999485205576172649, -347245466608835876666356979407886288721777853110689115545927433716094440072963749358786006589407094723749439980940729474142, 9441736719415364302042485877274911050214273691914509399195479327772019297244608527629604768754840123350273634595295126997, 91013779569252367194029632360608429027088082227165723601285773094411044718830808968982023682428208379030871392900895213605, 32727570194878786506335795001623524744286110210001937969762074775721950814594895954975766933325999405529538262548969482177, 12980413272716228395335646212947408833458345165605252927238935124593821606830933044602586851711468018959347775711984711464, 230902605325881160568768986409846525155033609831164568418370167566606547044466324897563046719466194634902227639423526070, -5103843637533147509914687303732330987384594887273979914044906599097231495885248382922221468593591270992679753755970002995, -557358801629118710465820868207983223073637718513675708145157713725719968631924659445102365698933137590749464621372688580, 889152515016319529544835669984455727834446796420340948347568582976403061752427985898964598122811534455137064928438086962, 104082263006241525516901011313121928287797887528093723051053952024945433712409361420310146221331530756031584249170961720, 17152379525704599236168459847613220570585714846797739849348152177721501027665517176462985572122952632075258811040966776, -21762166263601897459913550380088333589701376109927120417437202176721782233527587775077724436716841873254693323390445125, -44742638932019105603434390798303394966000309405350703523890839172287615205570886918038944757556545329657375076743643847, 27063314634674013291072648432501873938584963361172414783125019644598533254986389423464818934097914270752344880334200071, 31261236532886308537163911769045249036242853833741829305455156741319597715213433278396010628679933585019276465082377901, 3953015310877469870886098503111068670911694291482703356407902886350808853759954931375550285360514634491603332954182686, -4575241949934945335242284738542249172686147261444225122641723440484325771274359684958216688852961978404407012946906696, -5244276264399014777085269165269075881970087106115771720428850721308216648547666871615734162210499479443076863485797641, -2825620259306931701766706728603479867282391461119747432474719409969897479542687302122264983830332237267528487121839117, 154375140749569984079246786107030363066046939904911969942317732546201182454159224346783633021834786377819057991825783, 788856387050478525571182352737537694174926666043962454362020334370157721971536348191743404808916626891245145431231912, 366239394701610661178273614627182636799314021850111363646766151871865659341393010921752636053954898172698293491931448, 83804735687362033186393346789704553531991982655813041432639885523858672385609664285014156635231952977536838019528284, -42507641864115655589819320824745961105552781002394276243152950219133117430293257074109919749822862206288698807062854, -50433403634151795816335717943351777735574156154395198287520557442123492638755869497383321696814859504424398170033173, -10647531361468392503074562945370498654264533097015448530551439584493578267039892487272528046978215709134402067015505, 4472669890127851625920344568302388219887998955831187769738859399996777646485217413714780479525281758388400708373111, 2494018718029935677404935334470916527662243457942497620677980497768954569475484720232126665422001748069944871005557, 375042768970357984592895774517892636049288957962288651629932638977866407486849477635488987904169454170470072152471, -432849910663392898398562112417812232376565521926255676991360932390378782804033619818377975809135421842958425336751, -320432814615254993591460930874318387306736193150527179320459868567978416718689491647502434193625111255788354954464, 66100670961469242935526597252953408309052303314812381147636994323109808185744019897525984293397751771113172600911, 128581044463613600290547807042979742928728815695808257831970482882000202170660724153356283248179142482353841834391, 38647711913964004881909991340349172295057195881438493105256337850510090988139347924840655908344080001700809202539, -10536559990225675750118914409326222304778595991909551530465762588003588154558662967808745531509302155630333362860, -17741758740268205523522888496653618884863744015644833123152432074649349950446443425560840877652651790286264568207, -7730959694934045812307774559441235541115470431610231687076619337301047969981059017049163360468619293914545793096, 905102855612490938391627515674010014165222937847529371900361917165627427616664270214610533918526333411376575037, 2178007365694245264511212436900074560060751980728805393472754597510107903892936171427596369925871602708248076862, 861179812103524334484112250189294702307859878816512582299853416054086869838717821531937019326639738593626704494, 34348556067778543031964561413524769196898837214342671489997085376211854527603829889793697820076162382175071374, -186489866657237814816902380952824007189437204296531079693840169090267670245520199331869567018614468351326435896, -109007826821726230147065653515169497800306947849305654667919021900511976959973415193262698122955953045438226492, -6003935864222388172234627516424443075413766049178438013023784652632923184759840250070191077571632051660215348, 17807637022335484444014886615927508585551778703793443883422493702672104442986946344016123573145380289176078798, 8042684240484372263216002390599772151749255668014476539857069305183595128971424531796182100805682242648135051, 888234727726834589864885646297641261512271134909176650825746236328855656293513313317559598062877696665132692, -1104035065451490868307248398550029222633666115232929594744150084989063469769984044049905463906349339895152038, -739927616920962319356322797161657924257554936555626591468408021675076058607941224423009372938084109268492317, -72342113536936023595878145221540038570896820572248047594178243618642204519027475360961574234973841589108251, 108404093332439045092612285147927359505917178895592983105288188512529974227672893754442087895307698828712018, 54714281226609033007292799019011053386760310662728018031745157393413486970082174342663820698586282009353882, 3950317903728114867386035345715632478253040719622092333153201692880503447790251918083020435187441306904164, -9676052684361307977263571856597237554042903443879482619061116477548354073343826144275614909202370734798542, -4635669953736204706641242464912049077391683426525046680129482567279943317179852644093615302948004973229173, 69501293890277639045330235179448320334864113585257399002264077643261819679366043496877184302734017120608, 721588676986859974226811278775921555595573205897769231256915009267152322590609135833956564635959284559170, 369502805195658831785765117335461427925482991119847949310941732175329895672886421244889160835721190554685, 59081956875463689946365641945490496680619668908530561459784586139174193340767996647197480946249267478542, -76414006076452810188536742139065131790461049271602622970589668243892762087904679346102893443242433509402, -37622673575575981079377676530846500809863162963497514266028746084531257357981919296863775559285961255421, 3146162636626010426641350554157743650986877474329949307726450859607284358805806793457908293590756889028, 4079408510816476219824089346399968225760715352250659905847845863468177317892752780038583194002186448493, 1702306792742392235923927658683183465105546020909465873965241638866248320120063300166348311711088125403, 939575704772126003265409097307433385312588956910591689883554710547907314994249020996655093414859500227, -390895077393359822838999840629382381582908860392171428557662981330574862331765098332407322872772969326, -462007742141958747519415065471183944556387809712194543423521138805796349757758604818075770081692903661, -18470173934220036281425507431910991077175530222190294488105877057285356412985062773742095612634202653, 78124155848509729355280748336073945806289085966527471777887256611907191012827216658481525935011484192, 28224587199714020596251200187569096776517806387893512911971426338606836371946710562949273712883163428, 2858880496197453775242426506340040716662742193712283089916470061220273845121990091626685653623045032, -3464293264412815206041577752443410360488293609518487467463172954533313111606495365444262330961037557, -3288081459034243505506691563538653460002996937446421541153732588783280236915287627094934928489845790, -1400549699877034642182389439926502934610685800395147965017664498897828295268449994289587689057225503, 71942193493908058324256283008096828309101167304985712248186280735307241122793211774900620480785837, 535129226275917013210407293139665368135778431018426500473270512336264866921672248183426277908594991, 220917465893710302380799823045067082519137594510360686089169741921048479114684246189332622977818316, -46717998748758328733116755103645202803650877409535734533014000672557190255432165721125201955379099, -47496711239182440462773097023217500885783293102223250632919806038403341928391059194038863135003258, -9187926610849140052929469805013422014311575190705162275389829664848121994486498736141808841764443, -1868981367618460058362126795826057043133460148504207238038096686582839415291235999977234216850283, 1681829668256510695786400215523803218547035043987553395736054693526333412053061757947032258983648, 2456428759600486118402048974067086745100819272985782210155864500772493820679424592265955505198427, 352114030018215003998836678439873145397576147790390717298160584925393934016491215070253185178065, -402928214952575609013907270106546356148282608982108648785622755045220578511606235022987287941412, -129810512800357627687687117148306103813927946100503085491084304590099633462074229296188774976160, -2671637553625111595644059602031930770212894256901522363298207722110316925141294363658713969953, 5364489685351776605386252798067110469237790378214836959266534785978207691513231901663042400540, 11064188517377582283525052172764047458219384698745949441039793679166522793900556478483751824386, 4324921797417908018515604598671304369592289727289583727593274618023219615939245090834827289879, -1653971018733605938279356609949213731310337169917320533555955135377684654021157592017880058819, -1035119160001261544305877954669492743829832584224596038886126374654511675513287439804174707915, -6441160902692400039663410751469650005839230837651981030706333051928513779907563471234500434, 56527947505528730397728014699383201178778690743265677535106124901981814594186146917649359192, 37406657987440046760558151658661675291913521064695568845136253671818098604041145457434250997, 23337539706110070053667484593007791816941945949200660366101326935650372753570876079254696720, -4003750406844234727372585257118688969123107904378101700979785365337426461498264638804927933, -6620496534406492400633263769517534980291947691316994673652087112197630446226184578066026951, -743568267695462663426559675492469342246322438208476624794367795009720330160413892946925809, 557441324815589689948212986856701874707171556040515375046477984379738332110042492700452155, 245854090351658274131582239489092389866540561566982611879159011477027456518289323771946144, 101668100467769571712176908170348667188544822524600368051828578518186644925947911225808599, -2074093881326068257102996071841137037236257146222452601289391906160743914648079310705030, -32364574895731111013345297503854423928395366593947088095035394362258544993980614125221581, -10707551058856870309757086331435799275487620917419949947579650458534494632229253425077179, 1444413469080685971516568748342320723943974520275308172839010462367598921142594232497665, 1839714020056624236896417700989709660152794928340436764353562469283678735353699968021015, 776716626039618975929908073381130143278406654839232702427690687277557617163263117719445, 122908265452699642064394468554431216783855748534508534615388768787988601366729439444729, -123317496359678567801486170134989499466124016222219172444119926117947661950676825299236, -81643662540791103543484960840275835459815297166962252921789491205645293016661352901516, -12391653790742125626487227448367264064618906211551926983374501889033827364572169091116, 6709499262450736284641754905028840782241863808861250499637957981359557769967583194592, 5190375668279264261456664474171945123208276693647794205359878589000819096783532370226, 1675846865100380119700775937806108695186327795960275198402994343050993322085429947845, -128704767252308401768266911474498858646840976362268863203031794954668039516503449157, -377918534064659810993150605750731189206137925731121825666989079544653558506466025826, -147900172488247624695321662504186315715215881745955688828291076534421951316295793352, -8092192055162044768110875081679561044010807124109001882475071344153016842766020980, 19056028652985903156429307273429179912166309003667024095197224020392742816259507094, 10981766622539749142694520998519895321476942284909183037196165787708144744831510594, 2237789928189560519140746239464359994938483690797529156931431928821549277975814678, -795920733999853136110335882543317703232830197522794608048661250108295338041912866, -727738743463316723339639616749886845089071760344614655489621412906211580968907020, -208820469625874051480673047821062424289879608606461902741743770061256791321042231, 13461587819642741370118938577144963327362230497998889811495888303736906083316777, 38285928157603990645222149219251195669301956076092968309894017886963239660874027, 15999329433918657020038062863122282696884752029568711257226276787195162873003975, 1518853334454652157722192430698361945561638636023249071551943558802273815289870, -1724432247689062007273533703768739146018538195465717107745658694301109444962065, -997058866930462380550179040063900452457345306672398996114900123110431635586964, -197915001192130885393773552168773690958197211803604014519573542434660503303513, 54404415303815561118362640531370038106609889664331404299619573340174612347433, 53361264360595169593983657527602990484110242289360309979891464490006597776559, 16216775512954508561238609533205069525210845659507082891706078606899923937736, -465718136663350040478713376152853425327389709907326259136114272740241934935, -2528644545927791174008085856784766986350292943368177282154836738528194269163, -1047661379286141250678140985616034255382138049961794441631017716286862092955, -105583848939481597000257906912666936624553722384113603891243661270302761745, 101343087656452856025066237771066741208548617556931566833066529226654656073, 59700442067982031245347191048238890261518515897299805954463806048930420933, 11678566612650026857865603235609214966222102188173296080688369915870627424, -3352663043491002822926340209713953223081698588204578566698609068543544653, -3032646086557261682855265765351047447941065218762276863631120363437001880, -823659420467306152259081290786901422724209071505723728279326241332359402, 63268697241078585757168818536367225331851842860676975758094115321388829, 138088101340947819494231395899453210126065341550547061101528004117654097, 48993011561421025814350082162084892763928706631390002986591953696633644, 1785304217492437510848408882321253906762170097579607927178967679675899, -5677145979809890951540304084779487916357866012887972896849872053985786, -2542636726638910255349810322383112000377155255627863489480739831840089, -306108388699241288248430700142539560540254819450399500338498225622229, 205317654920677181251325126323965863648980575559342081760483323148896, 123395446597244749671794828049373701841265656062354287768259639084130, 23001846520887276094227962967708365238633688240365727274553422193670, -6639710265541009631547503998504216663081630468016139710824800510633, -5553962492708381845901744877312814401112157559222659246223097425039, -1351386491665117366239000248429731953866236152185056390966719137255, 179102432086729371781357818384079127053754626249330668242456296685, 240781559281723736382002060703679890434216407167235827408969339472, 68071360692766457597035815235748261034356802529091551320735130469, -4524205623310383135692785533196582867002780799030563362032882973, -9889839445189938331433684618962383083414579136921242665427646519, -3033264816844335919189352535016619245643026358365309812982766253, 97992151707853627544261514106137902090990326176777277120476026, 396584362999768466158002565114194529450940686244729864034046797, 126512979219756292166397396219274608421772512149067791930322753, -2569756140220506301044510703448666728896956400389918929153334, -15483084344854802798274367393461246051202491936084951410914870, -5070477744772969696117072398815073971525238225984702909976932, 34629749217942945027324801544070607470392205142444296723300, 607381845504208180611544508037504265289377330209387111425276, 206772055692087002852254836587075350600478073266510951630832, -186393221591928494062238509688433055208677669846922111838, -24731546987906371997013296685793935693564873455612358366618, -8681822922467769244115870440118518360669835123465194935020, -23607163513800579493441711590480540262033210243385446905, 1078583469049921233401651683674886272242623117599295398019, 383942413544088105147546374469920815102088516717758135154, -236111360508785812301686121354683977915886730873437551, -48089790269662503828950191269512788940698944080811536361, -16927498806941389523621018026120634338463943615605192081, 6569934113972613272706185284025815529787927192004460, 2089639930918477964814250605990475325893247369065365821, 729069741280073622378322280898958563444831906137939680, 3225553252926263431258799379479732367088066346395021, -84959734668460043303530890680321985954417526960231343, -30016371800770408608702317071052750023514783476512131, -684883129776721211327544539683253746765740217251409, 3203793807624337576936634911241198136838450526067907, 1212145041377020034254391685436452794259677168071647, 72842301498403339052279233429104565315011806071136, -108350249181253049395494588583591459881781046426028, -47340477203369820444013939840016118678171987755969, -5343120117497537566802140232818170063122141800755, 3288427106575938655263306335126454760957062379482, 1825801094006583617746054704193590253972733871022, 319191005336288590436001785816878479318043061515, -85136957109027550031623988187868950614210643181, -68695101579101544687433162957374687123404234895, -16245739338119248645519267189576808933991093344, 1839588244309654872153181773320833273794662819, 2592575528957355977880961175041529280572690162, 758254667272827651859672001543138421470106016, -20328937759498545915179455392353370841141260, -95792703519374207807057054892082594764671268, -32566869643546222252181323041103716300154723, -721703106621178221859861259540240638965610, 3453666706654158105669420065061698894738737, 1297372895593255426533726234565656186088077, 64014729404689830207368805679773190364303, -122806488796292688554458138232278374115546, -49092123277836106880824450089483275754261, -3087979817343445168140057055710480257582, 4358229228569000571502355744089842038842, 1800045679268573034821933133630345103399, 124431357228644299064025960698283113429, -154675860659340302542921538203991577137, -64461797244685876577528210694229600418, -4387598588982276507459689995493676562, 5524139517187289124643091621454446127, 2266233260795813313419522102337928683, 140581082277919394310895460810706514, -196538579832416454561791484175736198, -77670305354546346122467529703145188, -3885107118751161430902274982019668, 6948289067770901698684500502296328, 2596772839871642183997739922885016, 91547037365280355021017428574891, -239761280630583078843478948915466, -83608880332200796291555147115629, -1250988243988160474407806525769, 8108010068344461390018655281702, 2600171289153200796407836156223, -24838990206716338588608495152, -267740855706794801096819984811, -78437625126325649136841445383, 2853372324253261742771791417, 8569611409675492821367739665, 2289911265697383988002048505, -146853426604271424055276350, -263468478937769812463850347, -63307210943535386094755788, 6647131843783591808351584, 7954844925327684965808125, 1667018932657824670195865, -277801912675935774059904, -239695484149121185529513, -42877387585797180599191, 10369778147905313276386, 7032765313887711572258, 1040968561197022173582, -359558990335342581057, -198094737147404774804, -22537800206569527694, 11784416814379973854, 5287606286079176942, 391708759682031236, -361441423129304986, -130459861504312743, -2912755526263684, 10495041426881333, 2957351513355436, -137550278509108, -287051021422400, -62357983232135, 7757012759125, 7042940727768, 1164489812173, -254018154201, -149176513709, -16595604359, 6995569469, 2790334174, 133715665, -164865937, -45165441, 1720021, 3630563, 751486, -62190, -65967, -14127, -299, 568, 153, 19, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504149416739538, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 361, 9, 1, 57, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '722.2.i.b', 'level': 722, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'minimal_twist': '722.2.i.b', 'prim_orbit_index': 9, 'related_objects': [], 'relative_dim': 17, 'rm_discs': [], 'sato_tate_group': '1.2.3.c57', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '722.2.i', 'trace_display': [17, -19, 1, -2], 'traces': [612, 17, -19, 17, 1, 0, -2, -34, 4, 1, -28, 0, 4, -18, -52, 17, 18, -46, -12, -2, -65, 33, 39, 0, 20, -8, 158, -37, -42, -29, 12, 17, 60, -1, -14, 23, -6, 76, -108, 1, 8, 11, 7, -5, -101, -21, 105, 0, -62, -78, -3, 4, 146, -79, 4, -21, -28, 8, -4, -14, -93, -6, -95, -34, -76, -16, -6, 78, 38, 81, -151, 23, 7, -35, -12, -7, 78, -3, -10, 1, 58, -30, 67, -22, -6, -12, -109, 10, -25, -73, 37, 1, 56, -39, -29, 0, -153, 164, -116, 96, -27, 196, -211, -34, -86, -26, 86, -79, -116, 80, 20, 1, 66, -62, -221, -4, -187, -4, -9, -52, -54, 34, 382, -6, 192, -133, 94, 17, -43, 0, -112, -44, -150, 88, -62, -1, -92, -209, 251, 28, -43, -18, 250, 30, 18, 45, 17, 3, -96, -127, -129, -12, 138, -191, 148, -98, -121, 180, -197, -2, 207, -189, -137, -16, -158, -5, -91, 11, -427, 12, 238, -14, 585, 121, -37, -24, -163, -45, 145, 3, 5, 2, -48, 1, -203, -172, -105, 48, 162, 302, -76, 0, -403, 132, -42, 69, -125, -91, -19, 20, 2, -3, 356, -3, -476, -18, 28, 68, 10, -94, -250, -25, 200, -195, -448, 6, 30, -154, 1171, -27, 152, -94, -401, 1, -24, -71, -31, -43, 132, 6, 109, -4, 89, 60, 90, 27, -415, -123, -67, -29, 144, 236, -589, -17, 50, 186, 24, -26, -60, -96, -192, 19, 260, -74, -222, 17, -38, -28, -412, -38, 9, -302, 18, -16, -113, -47, -47, -82, 173, 90, -34, 18, -68, -82, -710, -57, -106, 144, 28, -14, -52, 354, -48, -154, -146, 32, 97, 23, -19, -66, -138, 62, 32, 701, -206, -6, -384, -96, 59, -32, -69, -135, -335, 0, 110, -88, -76, 94, 841, -99, -242, 6, -439, 88, 654, -18, 295, -234, -32, 1, -322, -129, 57, -59, 345, 21, -227, 84, 18, -539, 208, -5, 297, 125, -236, 68, 161, 333, 281, -82, 706, 9, 2, 83, 474, 585, -16, 83, -152, 568, 634, 71, -140, -111, 244, -63, 832, 165, -104, 184, 522, 180, 171, -58, 88, -90, 1200, 112, 412, -222, -636, 116, 626, 408, 192, 48, -734, 1021, 165, -26, -239, 228, 731, -19, 448, 110, 126, 306, 30, 53, 385, 52, -238, 72, 120, 150, 63, -114, 846, -40, -182, -1, -134, -65, 86, -85, -355, -3, 628, -207, -82, -94, 999, 180, -391, 4, -481, -48, 156, 218, -159, -307, -554, -25, 450, -115, -17, 90, -682, 136, -36, -3, -194, 42, 9, -129, -287, -5, -415, 42, -285, 57, -260, -249, -126, -2, 215, -2, -74, -328, -189, 290, -83, 82, -519, -85, -86, -332, 1345, -127, 788, 14, 77, -30, -396, 32, -185, -196, -418, -140, 406, -80, 19, 583, 274, 18, -133, -223, 74, -14, -918, 130, 295, 350, -188, 228, -744, 21, 567, -45, -22, -150, -40, -404, -1188, -44, -753, -212, -399, 18, -582, -91, -34, 0, 730, 12, 48, -153, 537, -307, 305, -34, -214, 304, -613, 52, 218, -250, 209, 76, -214, -10, -501, 224, 78, 132, 14, -73, 2, -314, 86, -221, -249, 1040, 435, -6, -388, -93, -113, -123, -21, -72, -285, -36, 83, -327, -270, 41, -95, 128, -264, -228, 610, -574, 1063, 251, -557, 191, 263, -14, -448, -67, 219, -26, 462, -10, -167, -18, -182, -263, -243, -16, -814, -93, -108, 23, -123, 0, 31, 960, -574, -199, -582, 45, -46, -206, 354, -34, -73, -6, -466, -92, -475, 420, -23, -55, 751, -606, -160, -12, -201, -126, 390, -192, 456, -32, 208, 50, -199, -131, -540, 26, -141, -19, -438, -55, -385, 328, 689, -562, -365, -50, -36, -136, 195, 232, -438, 14, -11, 72, -169, -10, -35, -305, -66, -367, -1329, 26, 877, 1, -289, -227, 392, 112, -1239, -76, -56, 77, 829, 497, -571, -55, 100, -154, 2538, 8, -528, -74, -88, 108, -372, -28, -1545, -104, 551, -271, -395, -34, -48, -262, -419, -22, -38, 161, 306, 94, 449, -61, -344, 146, 533, 84, 93, 0, -603, 360, 81, -107, 14, -248, 372, 8, -687, -16, -104, 24, -371, -114, 1041, 229, 1393, 157, -601, -9, 683, -6, -291, -163, 43, -849, 366, 70, 460, -49, -156, -63, -224, 86, -825, 3, 20, 28, 2380, 5, -631, -513, -2, -20, 1084, 128, 124, -109, 622, 70, 894, 1, -390, -358, -78, -126, 465, -153, -679, -20, 1123, -47, 966, 20, 864, 78, -852, -39, 336, 216, 756, -5, 900, -73, 583, 294, 412, -403, -181, 209, 513, -333, -195, 0, -591, 448, -226, -182, -148, 925, 300, 37, -313, -288, -286, -68, 222, 102, -1024, -463, -652, 362, 112, -61, 64, -278, -350, -21, 78, -279, 510, -190, 373, -510, 1026, 20, 548, -258, 511, -229, -867, 420, -212, 49, -569, 284, -635, -404, -472, 149, -70, -32, -607, -21, 67, 170, 38, 41, 85, 131, -2125, -65, 428, -56, 189, -334, -1153, 4, -869, 573, 1346, -190, -596, 55, -464, -86, -605, -767, 205, 44, 833, -174, 135, -26, 1240, 155, 890, -161, -824, -650, -1434, 10, -437, -305, 128, -448, 762, -137, -125, -117, 397, 407, -1161, 346, -163, 503, 160, 112, -277, 164, -764, -235, -477, -757, -287, 118, -86, -1368, 1, -437, 126, -69, -871, 172, -522, -32, -1092, -110, -785, 7, 1824, 1, 832, 132, -434, 295, 90, -18, 58, -48, -366, -254, -441, -203, 419, -814, 948, 90, -408, 347, -1533, -85, 698, -42, 52, -12, 117, 370, -52, 390, 665, 28, -630, -4, 158, 792, -801, -159, -870, -791, 118, 3, 116, 0, -331, 164, 1606, 252, 136, -23, -163, 76, -742, -415, -919, -444, 17, 67, 4, -95, -4, -109, 1172, -91, -681, -14, -558, 468, 525, 372, -1385, 660, -397, 136, 646, 832, -1005, 228, -251, 182, 672, 34, -447, -231, -178, -5, -2258, -554, -50, -226, 527, 400, 884, -380, 479, -1021, -237, -6, 295, 26, -588, -32, -393, -1216, -772, 135], 'weight': 2, 'weight_parity': 1}
• mf_hecke_cc •

  Column	Type
  an_normalized	double precision[]
  angles	double precision[]
  char_orbit_index	smallint
  conrey_index	integer
  dual_conrey_index	integer
  dual_embedding_index	integer
  dual_embedding_m	integer
  embedding_index	integer
  embedding_m	integer
  embedding_root_imag	double precision
  embedding_root_real	double precision
  hecke_orbit	integer
  hecke_orbit_code	bigint
  label	text
  level	integer
  weight	smallint

  
  {'an_normalized': [[1.0, 0.0], [-0.4187735632171357, -0.5697619702563727], [-0.25862304674008535, -1.8650542691509338], [-0.14925740550084726, 0.4772025009397537], [1.1097861395882191, 0.7695085858179952], [-0.9543325002130777, 0.9283889985500043], [-0.7413574338471196, 0.8053288518205864], [0.3343968926848373, -0.11479859826115213], [-2.4492735462637487, 0.6925885700015002], [-0.026312368099492084, -0.9545637898641783], [0.36240865478728035, 1.4311194132955165], [0.9286099665863397, 0.1549575966267197], [-0.11081409025459903, -0.04500879410057889], [0.76930664750727, 0.08514683933447163], [1.1481590004779267, -2.2688240324404463], [-0.2054444538063113, -0.14245201437756655], [-0.022745688472254055, -0.07272201595715494], [1.4203016384834386, 1.1054651381130574], [0.6805191290096956, 0.732730315362948], [-0.5328552215026992, 0.4147378662899527], [1.6937141314233577, 1.1743952456778166], [0.6636302528853992, -0.8058016452845426], [-0.20516760469417056, 1.4795615543532503], [-0.3005883589860747, -0.5939787890488722], [0.2888442567817567, 0.7714686844728306], [0.020761712224974478, 0.08198614747723366], [1.1688014453000415, 2.664598902729239], [-0.2736518550429371, -0.47397891651984053], [-0.9475866658372364, -0.21235914560365377], [-1.7735082866582434, 0.29594619009786494], [0.7481101110691021, 1.7055192642781614], [0.004870965584915785, 0.17670957442728044], [2.5753881409655204, -1.046032271703634], [-0.03190894608341121, 0.04341368602550031], [-1.4424556704471128, 0.32326188705562653], [0.03506721715018295, -1.2721734348006062], [-0.46174517153179717, -1.8233904467940873], [0.1324984476549546, -0.6945820047834721], [-0.05528476594324482, 0.21831460357180568], [0.4594475436248289, 0.12991938679745824], [-0.043357082493154175, 0.002392076899574614], [-0.04015695285026606, -1.4568195822285959], [0.022776577799490317, -0.8262918921705672], [-0.7370259387126552, -0.04066285416368153], [-3.251122684759155, -1.1161118274419535], [0.9289166751983915, -0.5027045654322632], [0.19109928616359578, -0.1859042575469549], [-0.21254806698478973, 0.42000642961743134], [-0.016364369381945375, -0.19748856897084457], [0.3185931790290303, -0.48764316274833475], [-0.12974794706925896, 0.06122953272187512], [0.038018132713416856, -0.046162865176684], [-0.30169112873395604, 0.2934896640470714], [1.0287239748203434, -1.781802191353041], [-0.6990625739119766, 1.8671130604045503], [-0.15545699891901524, 0.35440625985438606], [1.1905838722945794, -1.458706053396397], [0.2758300793086071, 0.6288292418022794], [0.39672456815304813, -0.021887904360780315], [0.9113172689590164, 0.8865431351245857], [0.19520895824129963, 0.9993609725223026], [0.6584512794341493, -1.1404710702886787], [1.2580255931843571, -2.485926337775279], [0.0986425636745492, -0.07677658908620848], [-0.08834528793792215, -0.13522252973292664], [-1.6744938765368977, -1.0293075597099657], [-1.173821567648046, -1.0222821023300852], [0.03809809033583419, 0.0], [2.812523664436492, 0.0], [0.7882446305735066, 0.6864828525068438], [-0.16943015292028496, 0.8673878695040114], [-0.7395212661979016, 0.512772635586736], [-0.0777607209337001, -0.24861487026336726], [-0.8455318627313685, 1.0266725532283685], [1.3641291817700338, -0.7382297958734728], [-0.45123325859525676, 0.21538000449787842], [-1.4211961042445145, -0.7691128699198758], [0.1475391570924889, -0.05992522727111591], [0.0014995749043566833, -0.054401789245094964], [-0.11838135915891045, -0.31618254222529013], [2.4989407603284692, -1.5360931753259741], [0.019519714373663854, 0.023701478179143344], [-0.024892103114018002, -0.3004030102183945], [-0.813223725245582, 0.632957431989828], [0.0307173658551249, -0.09820888792190474], [-0.4803279251329534, 0.33305197209896253], [-0.150993580532234, 1.8222215257493755], [0.2854788306336062, 0.4369578792996786], [0.3421014957244464, -1.0937593936269352], [0.725566157322884, 2.3197641933402195], [0.11839973006010103, -0.05587417997532053], [-0.675427689662205, -0.3187420129534439], [2.9874074687393897, -1.8363525448459348], [-0.18594850505398125, -0.0310293174489823], [0.19138842833869152, 1.3368392606322492], [0.328313202225307, -0.0547857836855616], [-1.2296423698613737, 1.0708964817325113], [-0.10566851088406128, 0.0920267870636339], [-1.8788148790632444, -3.254202828553915], [-0.411258929988202, 0.022689787448772227], [1.1655512108851938, -0.32958647989397155], [0.08922126931579451, 0.04828413636684069], [-0.11901569046162529, -0.1292855038233288], [-0.042222833919006296, -0.0023294986619124517], [0.9759532427854279, 2.6066551321030844], [0.29355951820825865, 0.048986419535935556], [0.5935461316979475, -1.3531488839283001], [-1.446005531654841, 0.16004385387740783], [-0.19260098320462996, -0.18736513099697358], [1.356558940976363, -0.3835983197902858], [-3.281304194043264, 1.3327505961718609], [0.2670284902501854, -0.059842486271438455], [0.7046702607779405, 0.765475958175174], [-1.329700285517685, -0.06748188116680652], [-1.3662274833031498, 1.4841186723449618], [0.24277264260955714, -0.4204945516875139], [0.30258659615748473, 0.03349027643432983], [-0.1786086565346126, -0.21687249589946941], [0.07542782284973024, 0.035595247952956564], [0.12348298344256939, -0.8904947503325592], [-1.0372889908400882, 0.5613527297877065], [0.4876495256870177, -0.5297285960625636], [0.015674494005829712, 0.08024466558598184], [-0.9255390325215922, 0.10243863556262019], [0.05842431832868004, -0.23071241556802263], [-1.9432141483992158, 0.3242650897598173], [0.7087368585783353, 1.2275682482544348], [-0.08505327854218622, -0.024050775647061467], [-1.546969769002336, 0.17121857298819435], [-0.040047983940475713, 0.10696340592186984], [0.6937098646566768, 0.07677978941434006], [0.11477346404250223, 1.385109724703971], [-1.094596778731884, 0.004826622507857887], [-0.0908920243163198, 1.0969036077184489], [-0.7533120894866946, 3.8565376770857505], [-0.015954473041705605, -0.021706843012750155], [0.2467143881568385, 0.21486374961179425], [-1.1778105565885857, -1.6024690244420088], [0.622143419783754, 0.38243013855125185], [0.06103580995947205, -0.736592683991322], [-0.3961442088087675, -0.3083314140023633], [0.5651574903599349, -0.2667042510548147], [0.024252973625713665, -0.17489977235362664], [0.601850302865995, 0.2066154699505045], [-0.888206361985793, -0.9648493115741325], [-0.1090871641325497, 0.14841843665669716], [-0.3640946956000434, 0.08159553238133935], [0.9390453677051731, 0.051808576651686984], [0.016135259404261075, 0.03188414173543034], [-0.9918765011371425, -0.468077808198515], [-0.7960478781049429, 1.218441983476437], [0.3116798952605525, 0.1669000985331375], [0.10607685010604039, 0.16236270606213177], [0.15694809248970548, 1.1318276295275393], [-0.48216948498974316, 2.4684387939015284], [-0.09592861408772624, -0.05896709988405907], [0.1915528678187461, 1.3813791864129479], [-0.031624052951765694, 0.021927630375502796], [0.6253984297702948, 0.4867671365076509], [-0.1305738046254856, 0.1998580862707453], [-1.0394310788405547, -1.2621113486733175], [-1.9216978005423861, -0.7805261986939239], [-0.04341230999392943, 0.09897009799219644], [0.005329860564097181, -0.0210471433909734], [3.6630608770220534, 0.8209111695881423], [-0.16073405625595202, 0.1399834127043784], [1.3571677145192882, 0.3041484084640801], [0.7011916706527437, 0.19827811279600172], [-0.7065285421158851, -0.687321583950571], [-0.06881931023086675, 0.023625699043946582], [-2.174258141723867, -1.323337207544471], [0.39090898454149586, 0.13419922390053038], [-0.804714502501242, -1.5901592042288533], [1.1014646464969347, -0.6770678013689216], [-0.8354228268712446, -0.33931943054516817], [0.1294109951013347, -0.3456413890984183], [-0.1434242460032266, -0.7342521329983623], [-0.7664455694457362, 0.2631210963397528], [-0.7759082509700527, -0.41990054709256136], [1.0178654922758394, -1.3848559204162398], [0.4638819684005422, -0.6311341677154906], [-0.0814176597104133, -0.04406103403676532], [1.8133769126942265, -0.6225330804512949], [0.1012441829915229, 0.5183137397391638], [0.8906762127187874, -2.3788903188633688], [-2.2973311145022017, -0.9330952668195704], [0.09583065444883063, -0.058906884317866476], [0.0601909929909127, 0.11894064443808937], [-3.012378015061776, -1.034150678809475], [0.6815317569599814, -0.6688787886380516], [0.9243812995928262, -0.3173405009839384], [-0.1687037456018449, -0.16411753911342397], [1.445204464507616, 0.40866488553717834], [1.1250978060821437, 0.25214032387111346], [-0.22934922883214837, 0.19974041905542145], [0.09668454233650675, 0.021667513425297127], [-0.3469776980875091, 1.3701839433307408], [-1.0673230136800527, 2.4332513811868677], [0.8762744240745617, 0.35591191551688484], [0.1851521455175367, 0.2248178150970438], [-1.6030342890729563, 2.4536266378958955], [-0.6758878758486914, -0.5260646497752576], [0.8735193658354329, -0.6056848503605078], [-0.009853044197632438, -0.07105500602734548], [-0.049957812916045084, -0.030708953446524162], [-0.02382133861060512, 0.12195196539725622], [-0.5222158344309845, -3.765947713092058], [0.016354546862066784, 0.025032497498659254], [-0.8019985569246455, 1.2394519445572771], [1.0764695468313665, -1.6476593002365636], [0.04809798201719401, 0.022697985057180927], [-0.0950243665457782, -0.1877732669401622], [1.661543991386072, 0.091669936510354], [-1.0195342026620966, 0.22848296625167364], [0.6611158357661757, -0.8994805170127594], [0.6967357904354015, 0.7568568257580311], [-1.9281208630362963, -0.6619247283594338], [-0.02609732617845242, 0.18820027919423252], [-0.4435695105945196, 0.20932549976205483], [-0.786650755897483, -0.6122748597569065], [-0.0007525874675272458, 0.009082380048896152], [2.133474054874064, 1.311441626569937], [-0.3087722577140481, -0.42009979943372355], [-0.14592044522561703, -0.1270822275118674], [-1.2417689901057463, -1.6894876098925757], [0.14104181411464542, -0.72205541072398], [-0.0357439131770792, 0.43136488171353654], [0.5183947170068776, 0.7858722823558363], [0.025754360853665437, 0.3108089136242955], [1.417734330197577, 0.15691479805022365], [-1.066883175008135, 2.849518175227596], [-0.3412485688487925, 0.03776938254600476], [1.4131576265533727, 0.3996029031768752], [-0.10763378116896002, -0.18642717759538904], [0.35513426139206294, -0.05926142686947214], [-0.048769117039673515, 0.19258488792361908], [-0.10185011391159342, 0.011272767905396433], [-0.01130635953505177, -0.05788225377786802], [0.05887438408341135, -0.06395462967100331], [-0.5590814524253629, 0.3025597516835461], [-0.09127565505185369, 0.6582323279761372], [0.7542266441126474, 0.35592813627142933], [-1.6614339841313195, -2.0173677015533253], [-0.5060339380668469, -0.056007822838890275], [0.13380819910078942, -0.23176259931185944], [0.03915629506038581, -0.04253507512414232], [-0.042431800286638365, -0.1118261886580132], [0.4459569173741406, 0.4844383502930193], [-0.5538302451264925, 0.1241162649335187], [-0.15591772042167715, 0.06332830562401917], [-0.2650404728996756, 0.07494630495565753], [0.9985206294460046, 0.9713758747563535], [-2.1917837792237687, 0.24258657053097113], [0.40262144409944206, -0.9178844383506316], [-0.19110912443259628, -0.03189047251385324], [0.021914847199547147, 0.05853195257481592], [-0.27312757751946465, -0.015068868365952549], [0.7453838738445357, 0.8097027316145973], [1.8107471503954198, 0.9799273537132155], [0.07771471783779235, -0.0219756283970213], [2.467976470407785, -0.1361620562105002], [-0.24676114776856975, -0.42740284526917427], [0.33546566023543545, -0.29215730044232496], [0.741118753268744, -0.6454408898669929], [-0.5606554494387299, 0.09355684744594145], [0.4611382192653106, 0.6216383553806373], [-2.1283959576264486, -0.3551664683034125], [0.6630371376059505, -0.4075674134549296], [-0.3735577539765527, -0.17628615509737594], [2.5127756931932006, -1.1858074443904512], [-0.18412068600622267, -0.5886666161861818], [-0.005686422118063514, 0.018180503989288735], [-0.13482927681962614, -0.20637157135558828], [0.019103729890113046, -0.23054773391796132], [-0.9993841525553131, 0.6929575514495985], [-0.41978998506352644, 1.3421433266213347], [1.0273651375727497, -0.799630383382567], [-0.042643067508558084, -0.5146252924407598], [-3.013549453090409, -3.659150704610699], [-0.4452426825278974, 0.27368965957601726], [-0.5368804934247916, -1.4339439966587144], [-0.009780792063239212, 0.3548289498100828], [0.013981749938467873, -0.005678896092549609], [-0.3886309555736254, -0.21031655567324112], [2.443780311763005, -0.7026872479256394], [-0.10980774307744469, 0.059424978836831656], [0.030216686873221682, -0.03669009345433591], [-0.1343173586100592, -0.42943651092727964], [0.8170066899644493, -0.5664998328701947], [-0.17777710168206287, 0.9101195909747701], [2.3152939111681823, 2.0163912405899262], [0.13024600131693076, 0.0], [1.2234695314425035, 0.0], [0.19896326431859812, 0.17327725928704232], [0.45712235730155815, 0.2809920685144804], [-0.3637288179471973, -0.5567284011134545], [-3.3897754588371285, 2.638368142542514], [0.01140935134095702, -0.022545492833435807], [0.08932874282291761, -0.154721921145547], [0.14867872242007615, 0.7611521211410547], [0.6485511155211333, 0.6309202720359184], [1.0275857115540645, -0.05669348354630489], [-0.9161350766714045, -2.088577602180952], [-0.03542997134518207, -0.2474767001769653], [-0.5523766525076838, 1.2592919251459211], [0.048085914808359956, -0.12843176406622284], [-0.1739574157164885, 0.30130308237433884], [0.5791466282581641, -0.563402543769766], [-0.2103442803679683, 0.2554069324895165], [1.608342383974325, -0.7589950735402954], [-0.05794873647737392, 0.08869714417370345], [0.00657515652575282, 0.07935033869761429], [-0.40695810663515875, 0.8041711401870082], [0.7068400499208689, -0.6876246234248055], [3.30908102719241, -1.7907850985661669], [0.025736847223778257, 0.008835470812032273], [0.700201253411791, 0.03863117966030112], [0.015441073887343892, -0.5601734497534757], [-0.03950231299619882, -1.433070465549637], [0.16855239443112066, -0.009299294738070393], [-2.6772008117278125, -0.7570402598067961], [-0.2838167920983465, 1.1207671660866114], [0.037806749578251274, -0.06615517844641436], [0.3600420905551005, 1.4217740624857482], [0.002714861633945936, -0.09849013211039385], [0.07456932577214481, -0.016711377312619544], [-0.2996350843744121, 0.40766822699975486], [-0.014223866586586866, 0.005777235377188168], [0.00804118587858804, 0.2917192720261268], [-1.0662690903618082, -2.430848678034294], [-1.186463867307242, 0.1979858024119963], [0.14706839849430614, 0.03295880005018245], [2.393799615847361, 4.14618255778649], [-0.39505376323566443, -0.9006318637521715], [-0.5160360512544453, -2.037780282438544], [-0.18066920621206053, -0.48254597960201556], [0.22229643269386137, 0.43926972537050535], [-0.09573422477493078, 0.6903852029853356], [1.2454102339374884, -1.5122180027171492], [0.04228073259948866, 0.029316807616693998], [-2.1696801498726472, 1.6887298455144975], [0.1565346146794678, 1.7929882404157622], [-0.6926239677548994, -0.5390908729726933], [-0.08724073413359217, -0.2789241603970799], [3.1212997800554865, 2.164261107600171], [-0.5690190816377872, 1.1244123564764261], [-0.22783601224388403, -0.025216883790092792], [-0.8470317592763312, -0.3440345714369773], [-0.14095438890142686, -0.023521127409870717], [0.15652168670811795, 0.6180901628335183], [-0.00958928547561582, -0.34788144689531203], [-0.2511272223929255, 0.07101201256629083], [0.09253988645549377, -0.031768983147667164], [-0.3582866594115888, 0.3892030630208395], [-0.8554936481569603, 0.8322370778538916], [0.470883536395332, 0.3265033786698726], [0.04687969580177902, -0.14988273449371214], [0.08568649996511803, 0.6179262621136499], [0.19192553227720283, 0.26112409907800876], [-1.2152933968136763, 0.0], [-0.07378743010377047, 0.997273992019586], [-0.5538577517129676, 0.0], [1.3152201443511045, 1.7894215074360098], [0.008991261901409506, 0.06484028243287568], [0.10501350693308027, -0.33574687951168763], [-1.1140899856523487, -0.7724928062729521], [0.4923434690642413, -0.478959125970383], [0.25291707029836696, -0.2747411768332156], [0.1045366300744476, -0.03588747043412744], [-1.7283928863723936, 0.4887429415140208], [-0.012694733155591009, -0.46054131450636365], [0.43041933904966656, 1.6996875318371183], [0.4782433014202961, 0.07980469223622819], [-0.07369424709957868, -0.029932016645910803], [-0.4454010508111408, -0.049296976486171144], [0.04256145931022632, -0.08410373624087102], [0.09544792525229238, 0.06618211866243505], [0.6722845468239308, 2.149413397687042], [0.6637150321994866, 0.5165901452606634], [-0.6665091787848785, -0.10820212295948803], [2.106185716378541, -1.6393101442410971], [-0.5679149996845276, -0.3937834981740001], [0.4841116732903988, -0.5878242909251779], [-0.02285926376512997, 0.1648490651246932], [-0.9853847812608724, -1.9471734071632354], [-0.3723717128209092, -0.9945605933992923], [0.5164942505235371, 2.039589670433265], [-0.3275012495109158, -0.7466276445827132], [0.168255887391464, 0.29142774563460333], [0.20984988847999145, 0.0470284614898618], [0.1122633773862422, -0.01873344436838229], [-0.028143605162523247, -0.06416095713815057], [-0.03621088471943741, -1.3136635676964503], [0.9259837901507546, -0.37610211531416027], [0.04352685135209103, -0.05922041590902617], [1.833340762616517, -0.4108612879283253], [0.01106195653528493, -0.4013072146797091], [-0.16417548870312773, -0.6483143433984325], [0.2920898667813832, 2.040234119354314], [0.05055581756274809, -0.19964040873014652], [-1.4256022756936686, -0.4031219146671989], [2.0692915286754148, -0.1141659950254139], [-0.006137775967923013, -0.22266709963634793], [-0.01668765723376184, 0.6053971756849041], [3.955326706494345, 0.21822145543048402], [-0.710903011065916, -0.24405331196338592], [2.4421490199552434, -1.3216249579492465], [-0.036358245803540336, 0.0353698479335527], [0.14565056987560127, -0.28781337178461947], [0.003424217505184414, 0.04132415977421517], [0.3369265267595165, -0.5157044404514732], [0.07945933893194272, -0.03749776626981925], [-0.27648774690242445, 0.3357205015689115], [-1.9270036031407385, 1.874618065425458], [0.2035377845474876, -0.3525377840962561], [0.007413713231044483, -0.01980114701651892], [0.552352335823225, -1.2592364886892096], [1.0420483753473813, -0.0621014293225051], [-0.3847298060612632, -0.87709561209082], [-1.3895705970353274, 0.07666474620429418], [-1.155869109459619, -1.1244468408510728], [-0.007209714625864944, -0.036909717079717], [-0.33929926241874503, 0.5876835614799117], [-0.06719237396247588, 0.13277575037894043], [0.04953279650092093, -0.038552923013934134], [-0.6435806540753514, -0.9850735241520954], [-0.94953383690143, -0.5836762798705375], [0.5571348758921215, 0.48520919014088215], [-0.33246994503324684, 0.0], [-0.7893476258234866, 0.0], [1.078106983492834, 0.9389241976786195], [0.13945370666433934, -0.713925186474507], [-1.5810471702869242, 1.0962737132133031], [0.4303065067355234, 1.3757665188925925], [-1.5697856921679822, 1.9060853359129988], [0.11815823215069568, -0.06394403753477026], [-1.2237400839676331, 0.856537416594885], [0.3050208936554762, 0.16506905289442503], [-1.5671488360718138, 0.6365208533108068], [-0.01942239037889715, 0.7046082092724866], [0.17685914260364716, 0.4723697524805555], [0.005489958486685187, -0.0033746649372798877], [-0.9393990150161424, -1.1406491319337209], [-0.1462329669602134, -1.764769463905868], [1.2213167425024, -0.9505889769104481], [-0.11005123084415369, 0.35185337983132897], [0.0552927047148062, -0.038339108314084575], [-0.011298995538367653, 0.1363585976091501], [-0.894121668338057, -1.368555094490765], [-0.4425857646569963, 1.4150254928118322], [-0.019136329630922128, -0.06118225308848555], [-0.4704642965077682, 0.2220174552906001], [2.4783367505819407, 1.169555315465457], [0.26074391078900105, -0.16027868616547059], [0.17439404056823576, 0.02910121834231238], [0.23067013717102483, -0.6244641312480698], [0.22269092927473536, -0.037160543643352535], [0.16630185353675195, -0.1448324116207712], [0.16718981036297825, -0.14560573390084464], [-0.5043055726526224, -0.8734828743744597], [0.9605545818164725, -0.0529952730630926], [2.0703295585335866, -0.5854334198660417], [-1.4285528901153348, -0.7730941633371557], [0.16442543693433523, 0.17861363802515393], [4.728472451956972, 0.26087709486419264], [-0.3641145172250034, -0.9725066052231609], [-0.006407207655826398, -0.001069173856796922], [-0.061144933953424706, 0.13939640866710476], [1.6934946168921812, -0.18743593926497104], [-0.18248574739699427, -0.17752487758482288], [2.526807162648627, -0.7145129877869137], [0.13015076210262153, -0.05286267152535867], [1.1907767968549554, -0.2668593304458855], [0.049074929568850616, 0.05330958439004282], [-0.36871445042184187, 0.7366441405781793], [-0.028244302485849783, 0.030681491346714326], [0.5356565140179477, -0.9277842976843159], [-0.061093951413191905, -0.006761876921436466], [0.5899556555093506, 0.7163435298306826], [0.40651557220027684, 0.19183932456905886], [-0.030900734071967743, 0.22283994689282477], [0.4132595793751657, -0.2236449003524921], [-2.0850853265009355, 2.2650064533988687], [-0.1130558630366676, -0.5787829526450946], [-2.188704095938014, 0.24224571126661554], [-0.45365476678387767, 1.7914421609482047], [1.0889364739005303, -0.18171135885510872], [0.1800025078625969, 0.3117734891078341], [0.1958120276552873, 0.055370365808975176], [-0.1880848515407688, 0.020817226378169896], [0.4462833504029553, -1.1919697939420506], [-0.040632489412553444, -0.004497202850099659], [0.006110325926358985, 0.07374066760393751], [-0.045944993376297004, 0.07100587761814783], [0.4190543049289385, -5.057233375139678], [0.08925958160059883, -0.4569592660037874], [-0.5729241736454627, -0.7794914356006936], [0.30264619281842453, 0.26357480113142856], [-0.09024148328047289, -0.12277796362727957], [0.10137627953501778, 0.06231576738666275], [0.21625843839513786, -2.6098512279761423], [0.15369349760792222, 0.11962445086076111], [-0.8364566778409527, 0.39473342494548097], [0.13529899032176682, -0.9757056174696692], [1.5471322048685945, 0.5311311568047166], [1.0560777054105202, 1.1472062018966132], [-1.0991674902557533, 1.4954712758817348], [-0.691582862835472, 0.1549873496120892], [0.3787227964294364, 0.02089471893834636], [0.061861470550045594, 0.12224159807799079], [0.25786521654023153, 0.12168953012840679], [0.024171921972866255, -0.036997880860093396], [-1.157040652771703, 2.6697267760568613], [0.1057929407209716, 0.16192815039810024], [-0.032595658453976786, -0.23506285585008754], [0.1491907628722316, -0.7637734826238832], [0.33530722721909495, 0.20611258639881716], [-0.1999676964966096, -1.4420625336538284], [-2.757615496083871, 1.9120880365370667], [-0.04506574663645535, -0.03507607854542236], [0.8735733538987154, -1.3371035578543362], [-1.1111032618693715, -1.3491380668716646], [1.3166911486163555, 0.534793731248168], [-0.1401808420991502, 0.3195801301778584], [-0.41678955574247356, 1.6458647347480582], [-0.3069442689985844, -0.06878782180296489], [0.10701251962275043, -0.0931972853035752], [-0.6781086141680374, -0.15196769976070656], [-1.184740646795012, -0.3350127353631454], [0.2880928140303361, 0.28026101913888396], [-0.9565276775486079, 0.3283763664755925], [0.16107339893126413, -0.5230647294843082], [0.004912240149218187, 0.0016863741732907874], [0.6889556123626259, 1.3614134017696102], [1.6999689542374505, -1.0449670317622661], [-0.5098788371629085, -0.20709488789179956], [-0.5824695521171485, 1.5557069547580378], [0.05599496464294973, 0.28666298322620276], [0.27669913586397327, -0.0949909333254296], [-1.7279120164645023, -0.9350992209892857], [0.06423599788126784, -0.08739622538025042], [-0.2582949753215816, 0.35142298123112176], [-1.2970700419003331, -0.7019392041912216], [0.012739883025529182, -0.004373607366980511], [-0.06956682464647714, -0.35614333563552253], [-0.06111973642071917, 0.16324355269229116], [-0.39283737572491245, -0.15955675418524248], [-0.13935746815205993, 0.08566271724302439], [-1.17026612428865, -2.3125088999274643], [0.813336522406281, 0.2792187808241404], [-0.48924886876838625, -0.8388399372960843], [0.9404991739901352, -0.32287377425362834], [0.042699609466782446, 0.04153882180737997], [-0.8858323420993133, -0.25048952005035735], [-4.6671089408302056, -1.045923610837422], [-0.2753561312377415, 0.23980786559852904], [-0.12013497433391565, -0.026922878324935468], [-0.8228500725222648, 3.249361452776121], [-0.03971436738964641, 0.09053963801513956], [0.342393824337391, 0.1390683540829938], [-0.13464855190406994, -0.1634946932990671], [-0.5921753995202925, 0.9063919246605131], [-0.5303498749456641, -0.4127878767928969], [0.2062639786912009, -0.1430202602879435], [0.1929929663383212, 1.3917644244100502], [-0.009090806268315441, -0.005588097840756504], [-0.6155481562383784, 3.1512631878927273], [0.042917994904127545, 0.3095021523730839], [-0.4704387203282754, -0.7200600658159602], [-1.423755059729017, -1.0981062426627595], [-0.1066345353350922, 0.16321630685089214], [0.07984267286188973, 0.03767866591360758], [-0.8309235641848468, -1.6419497219103976], [-0.03355856956594836, -0.0018514778768647005], [-1.2006968902270594, 0.2690824754401717], [-0.18842803369890082, 0.25636558073785043], [0.3868008575225533, 0.42017773917148443], [-0.664910863654678, -0.22826418781381871], [0.3884190076498589, -2.8010749141192317], [0.5929998816525215, -0.27984339234538697], [0.26037715699029385, 0.20265967595524725], [0.17927916497136953, -2.1635777652114307], [-0.5293542319450723, -0.32539283680893133], [-0.05454358206627485, -0.07420921832834858], [0.31003535518311953, 0.2700100282944241], [-0.5123566951697767, -0.6970864107833218], [0.03635813627826859, -0.18613337603715396], [0.015406237503997436, -0.18592563678293814], [-0.7405824271840283, 1.7088014418457045], [-0.031332163810166166, -0.3781229847119358], [2.6452038424613122, 0.292771091099732], [-0.1648826575795772, 0.44038198423107666], [-0.8741809561145137, 0.09675432502854318], [2.9227901785598944, 0.8264863160226376], [0.05631790342382568, 0.0975454701058233], [-0.01762349913222809, 0.002940841868973452], [0.43717027614187576, -1.7263463795301137], [-0.12556318256339832, 0.013897329714611072], [-0.11956443219738828, -0.6121031960641815], [0.3714128138437178, -0.40346186774178333], [0.21701959251064773, -0.11744513028582663], [0.08787831569463825, -0.6337324918176953], [3.583031013065123, 1.6908731090816889], [-0.46262752082455133, -0.5617375275064622], [-1.5831346900257903, -0.1752213054875243], [-0.8063389392060617, 1.396620010826091], [-0.41559887548958896, 0.45146072587298963], [-0.12616567694047043, 0.12382334982608428], [-1.3555473557037363, -1.4725169610728432], [0.9488173874076767, -0.21263495676752636], [-0.029543819994874033, 0.011999662750817595], [-0.09331264482272525, 0.026386301905483377], [0.9292550671807936, 0.9039932948158773], [0.2445198046855599, -0.02706344549487466], [-0.0443536229417784, 0.10111607535905305], [-0.5635366405265754, -0.09403763320364346], [-0.10350705741098135, -0.27645504987429265], [0.23360778086440157, 0.012888500425619183], [-0.2993556049871457, -0.3251868729491552], [-1.1059777995252698, -0.5985252541293212], [-4.182238287145332, 1.1826243087947816], [0.0748036584790835, -0.00412703284358991], [0.6272165096520236, 1.0863708620633201], [0.0424573035898633, -0.036976098215743484], [0.863583134541348, -0.7520952133164733], [0.628609429651968, -0.10489636116424912], [2.51906045087698, 1.1752199942558719], [-0.6877882865692538, -0.11477156579158017], [-0.12209791734265373, 0.07505331079833705], [-2.4060768987963965, -1.1354550691084255], [-1.4425017873471682, 0.6807330087665273], [-0.005743795959870486, -0.018363938377062905], [0.029893727280682833, -0.09557556874906159], [-0.2712151968237792, -0.41512576247750926], [-0.15807796444381159, 1.907717325073065], [-0.32563184194855155, 0.22578809489197088], [-0.007075319632376225, 0.02262105663828457], [-0.7999665275990415, 0.6226389408818591], [-0.18576213268935557, -2.241815550452443], [-0.07588367129665821, -0.09214044554963645], [1.011131633083992, -0.6215403044337754], [0.6898081733841477, 1.8423956563601167], [0.039351623065309475, -1.4276037150473555], [0.7574254780760404, -0.3076396450210644], [-1.8485597699667022, -1.0003905201058065], [-0.05352517204883319, 0.0061631916745766655], [0.6393734752242781, -0.34601162148681514], [0.6592966819313809, -0.8005396811267568], [0.1751006219124792, 0.5598278652396044], [-0.05725284400211747, 0.0396982386520656], [-0.7358690484017645, 3.767239037005747], [-0.040749169523636226, -0.03548848294915484], [-0.7429621487058966, 0.0], [0.3577531041746422, 0.0], [0.7107868855199669, 0.6190248430124892], [0.009248228304331689, 0.005684864806588336], [0.3626450941981234, 0.5550696384301023], [0.1628431111284931, -0.12674588091487204], [-0.5921055909359082, 1.170032542442772], [-0.9384798258728096, 1.6254947402900992], [0.23268306354095283, 1.1912074874264604], [0.6096644822056845, 0.5930907707324942], [0.017133768148035335, -0.0009452963306757086], [-0.04280968642022043, -0.09759625462494123], [-1.2184824609348566, -0.8369451004826599], [1.3598771484108272, -3.1002076289971265], [0.5086125140204314, -1.3584435829521533], [-0.34770771307456827, 0.6022474252287335], [-0.7036533023644952, 0.6845245075094061], [-0.9449474527394477, 1.1473862272164614], [-1.3594594727078988, 0.6415443954870337], [-0.19927686082829973, 0.3050159421900778], [0.15346609339477685, 1.8520603185307412], [0.15718731499140834, -0.31061060157943676], [-1.7180530253431405, 1.6713478030958775], [0.4334461959195985, -0.2345693509178235], [0.9061778984099234, 0.3110912654644201], [-1.3831491900183681, -0.07631046730671247], [0.0491806778177698, -1.7841835454835282], [-0.0010024509768041712, -0.03636705749756171], [0.8137631139298881, -0.04489656209835946], [1.8707787314147375, 0.529005822300352], [-0.1965838351897386, 0.7762920094865113], [0.9560239541496494, -0.8400435447184269], [0.10846070830612359, 0.42830165115064356], [-0.017100870985839945, 0.6203878022874288], [0.5730148199743376, -0.12841562885487373], [-0.12238626608914155, 0.1665125170834009], [0.046641243828279166, -0.01894403622534625], [-0.07400415794718535, -2.684733248207185], [0.3492420488828669, 0.7961916747983726], [0.8789375479626178, -0.14666873597959185], [4.013576804926743, 0.899463628855332], [0.08104407728458501, 0.14037245950944], [0.39616286902127135, 0.9031603702587494], [0.15869669273198944, 0.6266790673855472], [0.001160143345916712, 0.0030986050089634415], [0.04562652779564531, 0.09016047667307575], [0.3798059696319173, -2.7389621846923555], [0.2866171245085928, -0.34801992448592006], [1.377993713779216, 0.9554795794708519], [-0.1941938793513807, 0.15114716327942027], [1.0218270351539671, -1.5791867638507244], [0.14562538593394767, 0.11334478748199787], [-0.20237168186189006, -0.647018299559883], [-0.05685401642193263, -0.03942169776164942], [-0.5986645532906493, 1.1829934053651674], [0.37179408503152406, 0.0411501594666604], [1.0554170191072785, 0.42867335005960355], [0.8324351605467563, 0.13890885998143074], [0.0340051882749015, 0.13428345170604533], [-0.011164368070249847, -0.405022514745909], [-2.6769086931703456, 0.7569576565490689], [-0.1050294593659966, 0.03605665894361871], [0.16150249045734422, -0.17543847173858557], [0.31618764366503144, -0.3075920916352772], [-0.13450512768646952, -0.09326378019974937], [0.06840524214803691, -0.2187037388255242], [0.04758362343443221, 0.34314822730105515], [0.5089327461379197, 0.6924279602081199], [0.19235051321926105, 0.0], [0.5991090196037087, -0.37559071158574076], [1.2512450013877596, 0.0], [0.2319409842002711, 0.3155670838577453], [-0.1098765355354343, -0.7923721581001447], [0.46876489743100164, -1.4987248415327123], [-0.3935657269664377, -0.27289240258194847], [0.03317822428666318, -0.032276275210458935], [-1.3461406722945917, 1.4622985789491019], [-0.23527268406230148, 0.0807692144584207], [-0.06060768111078701, 0.017138219312277145], [0.026414409725210124, 0.9582656703107048], [-0.3017445239771025, -1.1915621782617596], [-0.47907312415187353, -0.07994316515891732], [-0.4668557094063508, -0.18962040342589073], [-0.2624520569503333, -0.029048186699752197], [1.0376046672175139, -2.050362714724654], [-0.06422449292505379, -0.04453227244662969], [0.14550961107871116, 0.4652201348705455], [1.0022723889712408, 0.7800999132015831], [-0.197588069090708, 0.10805843988842165], [-0.25708270809994793, 0.2000955034591419], [0.42571005044757204, 0.29518078051503543], [0.7881690766683144, -0.9570207747165526], [-0.006628433571342114, 0.047800799216626305], [-0.15480597273628724, -0.30590494100835236], [0.2690232609393377, 0.7185291600458446], [0.013807077668573954, 0.05452291668909861], [0.6496999999708111, 1.4811668089450372], [0.158434642658395, 0.27441685076335953], [-0.5763835758576454, -0.12917058473059245], [-0.06574272443758557, 0.010970520391882723], [0.208324500625384, 0.47493202374977855], [-0.0022630134347352625, -0.08209791960215632], [-1.821044469175704, 0.7396443482305771], [0.9431190171923384, -1.2831596753473682], [0.7526378818297189, -0.16867009984051018], [0.016387109983786348, -0.594493880288417], [1.0192829177858214, 4.0250572165281095], [0.21746696895335033, 0.4250637714778327], [0.07593992252944079, -0.29987997234732333], [-1.816031474888943, -0.5135247731678261], [0.29367671648202315, -0.016202595955354955], [0.013464926248283136, 0.48848248782483816], [-0.007216878352593133, 0.2618149276869165], [-0.5376530965809148, -0.029663147941724026], [-0.044947820282196224, -0.01543060619332208], [0.10349758347981011, -0.05601009123385087], [0.5532899970622486, -0.5382488243517506], [-0.6967722609075857, 1.3768595203512382], [0.042532828969629524, 0.513294911123258], [-0.41072337421524774, 0.6286589242977519], [-1.601062528783627, 0.7555596270328343], [0.9457864914676971, -1.148405015592581], [-1.0996673941330708, 1.0697729675446974], [-0.288251172609571, 0.49926567630108326], [1.3593167495894187, -3.6305735009991262], [0.09558332904496006, -0.2179080413671348], [-0.03125807127564053, -0.03014119464020348], [-0.06108455666289498, -0.13925876230916928], [-1.3027385727044725, 0.07187408992390597], [-0.057686538739844306, -0.05611833183774263], [-0.5416887182175948, -2.7731440663349907], [-0.024770675536881302, 0.04290406856768189], [-0.8504004265114218, 1.680437051021325], [-0.7333113813635415, 0.5707591581352505], [-0.5388716617577278, -0.8248044802963121], [-0.6020662135217253, -0.37008872573814444], [-0.6316483715803327, -0.5501030506078829], [-0.051969435484066344, 0.0], [-1.1388724107321906, 0.0], [-1.0018477806642532, -0.8725099995259811], [0.023348129127352967, -0.11952939681408146], [-0.23328204426844248, 0.1617541700857315], [0.3194870182426319, 1.021456882568572], [-0.30063250324303403, 0.3650378575810362], [1.2721869454447503, -0.6884731457983724], [1.0401282973359307, -1.0208178099484633], [-0.017866017214179977, -0.00966860500996121], [-0.13491895248298327, 0.054799343103575746], [-0.08037488925736047, 2.9158515345071], [0.36732100836839054, 0.9810707620172902], [0.32761640899897976, -0.20138505801233442], [-0.9316120290603962, -1.1311939178779031], [-0.18234068529202963, -2.20052482090851], [-0.124296907087762, 0.09674416605441444], [-0.23217260168976533, 0.7422971463577824], [0.35192063728740297, -0.24401633995868643], [-0.0932187173712396, 1.1249826171276027], [-1.532051972168249, -2.3449801137609203], [0.005853571762474284, -0.018714911163769315], [0.1586550911740126, 0.5072485753119546], [-1.0502773328418686, 0.4956378252671509], [-1.7757190869750514, -0.8379820443922658], [-0.1243367200630135, 0.07642949771490638], [0.035378266393762334, 0.005903588514508523], [0.6209490156179175, -0.5456183497337784], [-0.22497972190554663, 0.037542475582497285], [-0.2512955083118605, 0.21885345066362125], [0.022110962926269406, -0.019256454547942545], [-0.5575438189056267, -0.9656942217905264], [-0.4349247002150479, 0.023995464376624028], [0.018808187331741076, -0.005318448642979036], [-0.054640271685512894, -0.029569836311637048], [1.5508672140690647, 1.68469088702763], [0.3070665333855665, 0.01694133273981357], [-0.28282004590800014, -0.7553787331283058], [1.875064247654505, 0.3128928826871636], [0.04442328128476921, -0.10127488038538635], [-0.2860988657407716, 0.03166541486926882], [-1.757054362264066, -1.7092888897905514], [-0.014386607643902436, 0.004068145034458341], [-0.013989548016046831, 0.005682063397964699], [-0.9487756186382804, 0.21262559616706445], [1.2721211069941387, 1.3818918968088303], [-0.4717653439153775, -0.5677130986021135], [-3.670132581118027, 3.986826762150757], [-0.33862105228797196, 0.5865088670752049], [-0.06738712158320564, -0.007458404828880013], [0.6255960871088101, 0.7596193122360625], [-0.051533078146560926, -0.02431904601118265], [-0.15661962191083903, 1.1294588713556468], [-2.5355337037468475, 1.3721622215562987], [-0.01801051524129268, 0.019564634949028457], [-0.2551957231956922, -1.3064597465918089], [0.47692930499612046, -0.05278652282284111], [0.31692835506079065, -1.2515217712378728], [0.10378896300345773, -0.017319314719954598], [-0.014207452169318766, -0.024608029003364767], [-0.04270901506236129, -0.012076958783691555], [2.792553554473805, -0.30907975331571763], [-0.2917428682435366, 0.7792105312248914], [0.45540241264430953, 0.050403926948505075], [0.06508312106350306, 0.7854364652247591], [-1.3946422064341046, -3.1417315987754275], [0.043140386991287555, -0.5206270460478327], [-0.030299017900792216, 0.15511406991054885], [0.13922962354417803, 0.1894287309331706], [0.052740856392543584, 0.04593205222808152], [0.33055791788308786, 0.4497402585063797], [-0.07624374705409966, -0.04686685709816026], [0.08348059778418232, -1.0074609909146974], [0.09733632300687609, 0.0757599011651553], [-0.46516694650502594, 0.21951757554175913], [0.33058015927010587, -2.383971363398776], [1.286715827896106, 0.44173010166732524], [-1.2678496911334853, -1.3772519022884306], [0.603658453315841, -0.8213069303632546], [0.07839891563050733, -0.017569608501020385], [1.7433996842630337, 0.09618604093367564], [0.08406428448366374, 0.16611555440235692], [-0.0859144247131425, -0.04054399470726423], [2.2700398649637687, -3.4745546740499043], [1.0004924414921677, 0.33854533534685727], [0.14248606201973218, 0.21809115356021586], [-0.0336846176862978, -0.24291586079597985], [0.1614738531446191, -0.8266560529259022], [1.018945877665013, 0.6263437027222795], [-0.3164174178153249, -2.281837072792934], [0.40959254519907146, -0.2840051510597156], [1.1183858164734983, 0.8704746214273812], [0.1950743875271795, -0.2985835779499854], [-0.04703734250537462, -0.057114285878086334], [-0.004221805221002997, -0.0017147491035508155], [0.40584308020214444, -0.9252290288786232], [-0.2565030239808003, 1.01290753501291], [1.1667983819170118, 0.2614856417979426], [-0.9442600261695475, 0.8223567800283409], [-1.514023466646656, -0.33930060583629157], [-1.0530646124629615, -0.29777830049954246], [3.103970523183499, 3.019589173483723], [0.24655922101109962, -0.08464388748705401], [0.26626440503411974, 0.013512836791237895], [-0.04499928886423762, -0.015448275379854891], [-0.5379751463413024, -1.0630678680973142], [0.08242366385756199, -0.05066563783621707], [-0.3116672511940611, -0.12658829851562772], [-0.4053161300418763, 1.0825512167800677], [-0.3467165520544125, -1.7749953371626086], [0.9915709304420551, -0.340406730389501], [0.02820533246111643, 0.015263962609681648], [-0.02684553211798065, 0.036524663005507295], [1.0089702813917014, -1.3727535497693026], [0.32351511257267956, 0.17507762366509858], [1.0004729397959866, -0.34346279406082864], [-0.37149377102976483, -1.9018408768073536], [-0.5577059038007152, 1.4895661929430595], [-0.20051335662802228, -0.08144148783021796], [-2.626485918835191, 1.6144948928209868], [-0.056450846273017025, -0.11154991305429782], [0.8816433242608176, 0.3026685355202571], [-0.45239446904522984, 0.13008199751017646], [0.42089146613157824, -0.1444922228315229], [-0.11442973851055055, -0.11131896934918312], [2.491505113920325, 0.7045305195223317], [-0.1521628199772324, -0.034100486644625255], [-0.5761199447483835, 0.5017433011490385], [-0.15297528244727196, -0.03428256374869699], [0.10014093874974567, -0.39544762415930096], [-0.286487481878795, 0.6531256723967647], [0.6069359969462259, 0.2465160996766702], [-0.432449556086532, -0.525094451740243], [0.057815330281404814, -0.08849295078974317], [-1.2005569850176716, -0.9344310090864066], [1.2733161883748947, -0.8828977984705105], [0.15776053034105625, 1.1376865067706194], [0.38104364445289635, 0.2342266575653017], [0.03291023220734427, -0.16848203054294117], [0.04260716242066226, 0.30726059092840596], [-1.8315214097155068, -2.8033522111079985], [0.13356959502398985, -0.14638541848335895], [-0.40161574568188274, 0.6147186610545693], [0.18041186618517824, 0.08513841269568087], [0.002073994577107313, 0.004098325003534817], [0.151680885301366, 0.008368467640637797], [0.1050286543131842, -0.023537472716696442], [1.0694322519605903, -1.4550150259051566], [-0.8159846450574405, -0.8863956133781075], [1.605071563567315, 0.5510217637698714], [-0.024726717348468603, 0.17831616452650026], [1.2067305114085403, -0.5694698606316554], [-1.4652623667601856, -1.1404594775881487], [0.005356243745980879, -0.06464024905352327], [-0.08462283828244437, -0.0520174653301066], [-2.5473075419424314, -3.46573683590791], [-0.6507121401113811, -0.5667057012230893], [0.15266745884010113, 0.20771156487179707], [0.009822490715441619, -0.05028567316998387], [-0.0025728719582163015, 0.031049946949617692], [0.5741196811264384, -0.09840761983860452], [-0.1090389349408026, -1.3159042503234062], [0.02930911415268972, 0.0032439319767754602], [0.09031357445790497, -0.24121682478084702], [-0.7529349964573063, 0.08333482543064258], [1.2700617941175882, 0.3591392570843199], [0.021731871406928203, 0.037640705420352985], [-2.662537981227109, 0.4442990074885766], [0.16108746893898265, -0.6361200291216329], [-0.3559395224698482, 0.039395376902995397], [-0.060935223134444015, -0.31195435087167983], [-1.6718456509143558, 1.8161085017861254], [0.13990613770682436, -0.07571341546021296], [-0.5165813883359344, 3.7253150321445045], [-0.3004865456511789, -0.14180302035615985], [1.2893967454383795, 1.5656278694066752], [2.1636931513224997, 0.23947750058017342], [0.21392791203536363, -0.3705340128023753], [-0.28242370884341617, 0.3067939306813274], [-0.13316069475119371, -0.053402385896192096], [1.054593806821325, 1.1455942583286458], [0.9468489127780769, -0.21219381127070264], [1.2106742383787061, -0.49173338329870786], [-0.7692126735568227, 0.21751261978002923], [-0.5595500291316782, -0.5443386776288117], [-0.1843915671489784, 0.020408453759678622], [0.10225638582214311, -0.23312107848120794], [0.5918011356978938, 0.09875414325545305], [-0.050452971824839196, -0.1347538920632326], [1.6892808445600527, 0.0932002213433994], [0.09062582738339273, 0.09844589152256181], [0.6014994412928264, 0.32551521930455163], [-0.8660307271352323, 0.24489015683810458], [0.6965700450994115, -0.038430840314982916], [0.014453477217162192, 0.025034156886164144], [-1.4394393486267056, 1.2536088312290834], [0.0394557851014403, -0.03436207346522221], [0.5419926376946065, -0.09044257497609348], [0.05969699731967837, -0.003557674430016662], [1.2178767004191209, 0.20322767714671078], [-3.0569081163224396, 1.8790744341071377], [1.513927172882592, 0.7144394610041054], [-0.2977375647633772, 0.14050574499247634], [0.6761011662297901, 2.1616158094836275], [-0.2041990784950762, 0.6528608119674859], [0.6985999355284259, 1.0692868036130263], [0.02343467344190236, -0.28281444975487186], [0.08341177704298014, -0.05783643920505758], [-0.03216346695698084, 0.10283233062547949], [4.318915759927822, -3.361547066963369], [-0.006948551402313016, -0.08385654471825546]], 'angles': [None, -0.32666168967936093, -0.03552989682785445, -0.47375181441245795, 0.09267573228983082, -0.1981201030725752, -0.05431058121897069, None, 0.1561494384188353, -0.2956017367828404, 0.12482495741155807, -0.3446647380027415, -0.2622276954722978, -0.4278015745992981, -0.3515277592545891, -0.4065531762235327, -0.2269418146750979, 0.054313511751958275, -0.4940095507204031, 0.10354773950607789, -0.06903396963942984, -0.49128269924148926, -0.4890788998358066, -0.3546429876114684, 0.28767819629116054, -0.19032080731927276, -0.13242290417817945, -0.3019066458958387, -0.14864047304448216, -0.03134610482238739, 0.04203398718807499, -0.17572139107291754, -0.10981272560667661, -0.10279088801320274, -0.07171760149715914, 0.2218147443131812, 0.10087757679346515, -0.4428148695102119, -0.09252247360843642, -0.3995318305282743, -0.243762108310815, -0.3350773345563645, -0.22137304367053393, -0.07094154035849316, 0.16438605195053463, -0.11020043991275526, -0.175591756918411, -0.1428511917173576, 0.04787718531199406, 0.011761957340656982, -0.07489918066899572, -0.3746592980390171, 0.07583629852985148, -0.31584780117933725, -0.26306437057399173, -0.32833631836413973, -0.21293347111319672, -0.4983497649482624, -0.24245077354368305, -0.4182442038323814, -0.31020259135059947, -0.14523598945925842, -0.44449442184098137, -0.4163298571193613, -0.49984071242075934, -0.18421129071726186, -0.3790177925312945, -0.03497741801735246, -0.25073764178217517, -0.2350658007162875, -0.29484251532622163, -0.07497433876316, -0.317010928056427, -0.18471229256377647, -0.07565885948001626, -0.3281827135957713, -0.05642658854481402, -0.4634483674940545, -0.338905468313301, -0.39965677701948626, -0.486310471645566, -0.4779290389425281, -0.009218312465525569, 0.359473724816422, -0.47182423454671796, -0.47733557119752246, -0.43981995404345403, -0.25831119475529046, -0.1789073833119912, -0.3219077680273219, -0.22420113092819016, -0.03285543584597506, -0.18324882638658782, -0.3331962443264908, -0.11301452258742675, -0.39669186344719926, -0.21086050630342837, -0.26068486505575633, -0.06281343962038329, -0.39048730740173637, -0.22259567532337968, -0.22471564301551128, -0.19927903071073474, -0.16285868761946234, -0.4234340595034983, -0.07233226446091261, -0.4541835793787655, -0.34001202244866663, -0.4802298315317479, -0.30926060796840726, -0.4312104171714199, -0.01495136347055847, -0.08059469290606582, -0.1538867498336576, -0.4671053419703163, -0.2366033710404975, -0.36903826166949344, -0.2697385866760177, -0.3105749666809841, 0.18836636603186635, 0.07308383402836731, 0.17659502122015075, -0.11785996800731814, 0.10503775839471483, 0.00578509069880627, 0.004752041641797177, -0.09215025921701459, 0.005778085548095307, -0.19199395965867688, -0.43413496567846327, -0.009061292198461773, -0.11180936699249891, -0.26262875724034357, -0.22207579124138063, -0.4358101264417149, -0.3097432074575691, -0.4931625717935834, -0.17408503917886542, -0.2002673935027716, 0.10860778728586867, -0.45019392770131555, -0.4892052609154867, -0.29230422816162366, -0.4909501420910728, -0.4254056057294351, -0.23785241643736005, -0.19566836659409584, -0.48188823971947287, -0.13039827251478073, -0.1349151475422119, -0.40011337872149905, -0.01939812351240432, -0.11553842165667859, -0.11291926577395137, 0.20335406861651667, -0.12020228504658811, -0.4278348627646318, 0.0028552163106409225, -0.21984788358710425, -0.203926916863078, -0.08030634336606993, -0.4224286334306633, -0.38235378369926093, -0.20446707666183167, -0.17519219177758757, -0.20206405896489338, -0.02197290363539704, -0.3384105146574213], 'char_orbit_index': 9, 'conrey_index': 11, 'dual_conrey_index': 197, 'dual_embedding_index': 1, 'dual_embedding_m': 171, 'embedding_index': 1, 'embedding_m': 18, 'hecke_orbit': 2, 'hecke_orbit_code': 4504149416739538, 'label': '722.2.i.b.11.1', 'level': 722, 'weight': 2}
• mf_newspaces •

  Column	Type
  ALdims	integer[]
  ALdims_eis_new	integer[]
  ALdims_eis_old	integer[]
  ALdims_old	integer[]
  Nk2	integer
  a4_dim	integer
  a5_dim	integer
  analytic_conductor	double precision
  char_conductor	integer
  char_degree	integer
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  conrey_index	integer
  cusp_dim	integer
  dihedral_dim	integer
  dim	integer
  eis_dim	integer
  eis_new_dim	integer
  hecke_cutter_primes	integer[]
  hecke_orbit_code	bigint
  hecke_orbit_dims	integer[]
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  mf_dim	integer
  mf_new_dim	integer
  num_forms	smallint
  plus_dim	integer
  prim_orbit_index	smallint
  relative_dim	integer
  s4_dim	integer
  sturm_bound	integer
  trace_bound	integer
  trace_display	numeric[]
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 2888, 'analytic_conductor': 5.765199025936444, 'char_conductor': 361, 'char_degree': 36, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 57, 'char_parity': 1, 'char_values': [722, 57, [363], [25]], 'conrey_index': 7, 'cusp_dim': 3348, 'dim': 1188, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 549789369042, 'hecke_orbit_dims': [576, 612], 'label': '722.2.i', 'level': 722, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'mf_dim': 3492, 'mf_new_dim': 1188, 'num_forms': 2, 'prim_orbit_index': 9, 'relative_dim': 33, 'sturm_bound': 190, 'trace_bound': 1, 'trace_display': [1, -18, 0, 8], 'traces': [1188, 1, -18, 33, 0, -1, 8, -2, 17, 2, 6, -2, 6, -32, -14, 33, 30, -20, -5, 0, 10, 69, -6, -1, 29, -4, 48, -4, -78, -86, 8, 1, 141, 6, -16, 36, 8, 46, -68, 2, 19, 12, -2, -3, -186, -54, -108, 1, -138, -98, -6, 6, 2, -1, -2, -50, -36, 12, -9, -14, -24, -8, -190, -66, -160, -21, -11, 16, 40, 292, -22, 10, -1, -66, -48, -25, 68, -2, -12, 0, -6, -79, -5, -20, -12, -22, -190, 14, -32, 8, 72, -6, -24, -66, 256, 2, -115, -7, -32, 29, -32, 380, -314, 2, -152, -48, 188, -24, -236, 10, 348, -4, -10, -120, -106, -2, -140, 1, 6, -14, -104, 20, 41, -4, -24, 0, -14, 1, -90, -4, -203, 3, -102, 230, -14, 6, 43, -246, 253, 32, 28, -14, -154, -72, -44, 15, 37, -4, -180, -31, -228, -19, 252, -234, 312, -194, -30, 220, -404, -4, -6, -315, -252, -38, -138, -3, -162, 12, -9, 0, 236, 4, -158, 14, -32, -3, -65, 36, 466, -2, 20, -4, -76, 8, -398, -16, -38, -70, -144, -2, 36, 1, -47, -39, -56, -7, -306, 20, -40, 11, 46, -146, 202, -6, -190, -22, -206, 140, 31, 40, -452, -36, 366, -296, -424, 2, 56, -224, 313, 4, 252, -156, -470, 6, -62, -33, 34, -93, 376, 16, 516, -6, -129, -6, 236, -324, -606, -24, -6, -86, 11, 344, -1105, -24, 392, 74, 26, 16, -544, -204, -229, 228, -40, 52, -304, 33, 321, -8, -64, -72, 68, -591, -8, -21, -370, -60, 84, -163, -368, -34, 0, 30, -64, -154, -691, -96, -150, -42, -408, -12, 25, 266, 43, -184, -70, 60, -244, 10, 15, -192, 17, 2, 552, 681, -414, -20, -246, -12, -84, -33, -162, -42, -238, -8, 108, -145, -125, -34, 876, -16, 76, 4, -731, 206, 1288, -52, -296, -62, -314, 0, -444, 72, -142, -83, 952, 87, -108, 111, 264, -1050, 310, 145, 44, 344, -40, 124, 627, 295, 25, -164, 1760, 23, 52, 168, 580, 1328, -21, 152, 692, 616, 1258, 145, -450, 66, 564, 63, 2228, 297, 8, 364, 435, 20, 16, 72, 286, 86, 1384, 88, 868, -160, -388, 200, 1164, 417, 456, 166, -476, 2236, 410, -26, 108, 664, 964, -20, 568, 134, 332, 382, 266, -28, 128, 166, -101, 276, 296, 82, 96, 72, 992, -58, -145, 21, -328, -108, 182, 44, -248, 0, 1151, -338, -130, -166, -6, -4, 476, 2, -848, -100, 336, 456, -278, -219, -404, -14, 80, -68, -8, 20, -976, 184, 298, -5, -350, -40, 104, -136, -312, -68, -316, 162, -596, -26, -489, -202, -380, -28, 630, 8, 58, -366, 719, 613, -28, -47, -1206, -20, -114, -438, -597, -4, 522, 82, -16, -72, -60, -225, -24, -176, -418, -276, -300, -37, -226, 600, -225, -12, -180, -392, 344, -14, -804, -98, -390, 394, -46, -272, 184, -200, 61, -330, -112, -187, 114, -380, -1536, -4, -838, -393, -597, 12, -508, -70, 156, 0, -76, 20, -427, -14, 584, -424, 96, -2, -21, 794, -254, 328, -766, -418, 386, -220, 50, -50, -570, 406, -68, 462, 216, -125, -105, 4, -36, -54, -190, 260, 334, -1, -41, -46, -458, -314, -14, -144, -434, -88, 294, -1180, -220, -33, -734, -62, -910, -382, 996, -634, 624, 253, -1362, 326, 44, -16, -588, 106, -372, -14, 46, 507, -328, -14, -504, -624, 319, -2, -730, -18, 160, 36, -224, 106, -410, 440, -432, -22, -1134, 15, 244, -478, 1212, -74, -154, 300, -338, -4, -205, -43, 296, -134, 378, -824, -24, 62, -476, 24, 150, -190, -552, -50, -340, 87, -1006, -740, -466, 64, 444, -27, -274, 12, -129, 730, 318, -320, -136, -62, -24, -270, -35, -238, 298, 60, 174, -48, -554, -8, 434, -404, -252, -64, -1042, -272, 788, 2, -843, 28, 185, 260, -496, 6, 58, -163, 889, 992, -1474, -45, 92, 160, 950, 19, -1651, 0, 1122, 242, -262, -53, -2304, 6, 266, -340, -244, -48, -488, -126, -114, -24, -264, -305, 1365, -134, -322, -641, 18, 0, 2328, -16, 250, 16, -1412, 708, 250, -59, 124, -240, 624, -64, 736, -201, 588, 428, -244, 4, 144, -564, 532, 702, -576, -32, 382, -9, 290, -65, 98, -418, 238, 134, 984, -658, 112, -119, 900, 202, -572, -2, -200, -275, 3422, 20, -528, -909, 422, -36, 1028, -84, 652, -38, 1644, 96, 1002, 8, -198, 22, 241, -40, 916, 172, 0, -16, 78, -44, 368, 76, 512, 156, -1048, -12, 626, 908, 2210, 34, 372, -150, 1224, 332, -206, -790, -252, -18, 1026, -338, 254, -2, -347, 328, 54, -400, -270, -131, 532, 94, -614, -500, -700, -192, 1278, 268, -428, -748, -448, -10, 186, -18, -358, 112, -2408, -10, -36, -540, -168, -382, 566, -506, -228, 11, 1204, -523, 373, -479, -1264, 792, 82, -250, -580, 20, -296, 12, -828, 592, -926, 12, 14, 94, 32, -266, -84, 17, 216, 234, -3228, -124, 697, 260, 428, -346, -2104, 6, -500, 836, 960, -111, -744, 164, -286, -20, -513, -914, -656, -8, -140, 56, 100, -4, 323, -30, 1144, -356, -1134, -1088, -560, -16, -170, -34, 479, -424, 686, -20, 82, -115, 330, -228, -1957, -28, 270, 636, 48, -72, 98, -174, -568, -409, 18, -2034, -744, 226, -314, -1724, 161, -164, 168, -14, -958, 528, -1192, -64, 592, -276, -1906, 96, -846, 6, -448, 977, -480, -142, 528, -71, 660, -86, -352, -480, -1724, -131, 90, -616, 132, 15, -538, 29, -278, -36, 418, -589, -500, -32, 213, 750, 312, -120, -56, -370, 616, -6, -221, 1464, -1023, 448, -1650, -720, 616, -6, -121, 76, -586, -4, -80, 588, 868, -47, -1026, -439, -1453, -454, -508, -447, -462, 280, 144, 370, -932, -54, 1860, -330, -1008, -14, -514, 848, 992, 315, -1606, -110, 176, -4, 678, 14, -1767, 168, -136, 532, -168, 48, -104, 9, 170, 128, -1116, -350, 24, -379, 214, -188, -1080, -16, 954, -1214, -496, -8, 317, 168, -1252, -90, -872, -1037, -2470, -48], 'weight': 2, 'weight_parity': 1}
• mf_twists_cc •

  Column	Type
  conductor	integer
  degree	integer
  order	integer
  parity	smallint
  source_conrey_index	integer
  source_dim	integer
  source_embedding_index	integer
  source_hecke_orbit_code	bigint
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_conrey_index	integer
  target_dim	integer
  target_embedding_index	integer
  target_hecke_orbit_code	bigint
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_conrey_index	integer
  weight	smallint

  
  
  • id: 35780258
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 612, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416739538, 'source_is_minimal': True, 'source_label': '722.2.i.b.11.1', 'source_level': 722, 'target_conrey_index': 11, 'target_dim': 612, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739538, 'target_is_minimal': True, 'target_label': '722.2.i.b.11.1', 'target_level': 722, 'twist_class_label': '722.2.i.b.11.1', 'twist_class_level': 722, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
  • id: 35780259
    {'conductor': 361, 'degree': 36, 'order': 57, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 612, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416739538, 'source_is_minimal': True, 'source_label': '722.2.i.b.11.1', 'source_level': 722, 'target_conrey_index': 197, 'target_dim': 612, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739538, 'target_is_minimal': True, 'target_label': '722.2.i.b.197.1', 'target_level': 722, 'twist_class_label': '722.2.i.b.11.1', 'twist_class_level': 722, 'twisting_char_label': '361.197', 'twisting_conrey_index': 197, 'weight': 2}
• hecke_orbit_code 4504149416739538 does not appear in mf_hecke_charpolys
• mf_newform_portraits •

  Column	Type
  char_orbit_index	smallint
  hecke_orbit	integer
  label	text
  level	integer
  portrait	text
  weight	smallint

  
  {'char_orbit_index': 9, 'hecke_orbit': 2, 'label': '722.2.i.b', 'level': 722, 'portrait': 'data:image/png;base64,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', 'weight': 2}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 23287315
    {'hecke_orbit_code': 4504149416739538, 'n': 1, 'trace_an': 612}
  • id: 23287316
    {'hecke_orbit_code': 4504149416739538, 'n': 2, 'trace_an': 17}
  • id: 23287317
    {'hecke_orbit_code': 4504149416739538, 'n': 3, 'trace_an': -19}
  • id: 23287318
    {'hecke_orbit_code': 4504149416739538, 'n': 4, 'trace_an': 17}
  • id: 23287319
    {'hecke_orbit_code': 4504149416739538, 'n': 5, 'trace_an': 1}
  • id: 23287320
    {'hecke_orbit_code': 4504149416739538, 'n': 6, 'trace_an': 0}
  • id: 23287321
    {'hecke_orbit_code': 4504149416739538, 'n': 7, 'trace_an': -2}
  • id: 23287322
    {'hecke_orbit_code': 4504149416739538, 'n': 8, 'trace_an': -34}
  • id: 23287323
    {'hecke_orbit_code': 4504149416739538, 'n': 9, 'trace_an': 4}
  • id: 23287324
    {'hecke_orbit_code': 4504149416739538, 'n': 10, 'trace_an': 1}
  • id: 23287325
    {'hecke_orbit_code': 4504149416739538, 'n': 11, 'trace_an': -28}
  • id: 23287326
    {'hecke_orbit_code': 4504149416739538, 'n': 12, 'trace_an': 0}
  • id: 23287327
    {'hecke_orbit_code': 4504149416739538, 'n': 13, 'trace_an': 4}
  • id: 23287328
    {'hecke_orbit_code': 4504149416739538, 'n': 14, 'trace_an': -18}
  • id: 23287329
    {'hecke_orbit_code': 4504149416739538, 'n': 15, 'trace_an': -52}
  • id: 23287330
    {'hecke_orbit_code': 4504149416739538, 'n': 16, 'trace_an': 17}
  • id: 23287331
    {'hecke_orbit_code': 4504149416739538, 'n': 17, 'trace_an': 18}
  • id: 23287332
    {'hecke_orbit_code': 4504149416739538, 'n': 18, 'trace_an': -46}
  • id: 23287333
    {'hecke_orbit_code': 4504149416739538, 'n': 19, 'trace_an': -12}
  • id: 23287334
    {'hecke_orbit_code': 4504149416739538, 'n': 20, 'trace_an': -2}
  • id: 23287335
    {'hecke_orbit_code': 4504149416739538, 'n': 21, 'trace_an': -65}
  • id: 23287336
    {'hecke_orbit_code': 4504149416739538, 'n': 22, 'trace_an': 33}
  • id: 23287337
    {'hecke_orbit_code': 4504149416739538, 'n': 23, 'trace_an': 39}
  • id: 23287338
    {'hecke_orbit_code': 4504149416739538, 'n': 24, 'trace_an': 0}
  • id: 23287339
    {'hecke_orbit_code': 4504149416739538, 'n': 25, 'trace_an': 20}
  • id: 23287340
    {'hecke_orbit_code': 4504149416739538, 'n': 26, 'trace_an': -8}
  • id: 23287341
    {'hecke_orbit_code': 4504149416739538, 'n': 27, 'trace_an': 158}
  • id: 23287342
    {'hecke_orbit_code': 4504149416739538, 'n': 28, 'trace_an': -37}
  • id: 23287343
    {'hecke_orbit_code': 4504149416739538, 'n': 29, 'trace_an': -42}
  • id: 23287344
    {'hecke_orbit_code': 4504149416739538, 'n': 30, 'trace_an': -29}
  • id: 23287345
    {'hecke_orbit_code': 4504149416739538, 'n': 31, 'trace_an': 12}
  • id: 23287346
    {'hecke_orbit_code': 4504149416739538, 'n': 32, 'trace_an': 17}
  • id: 23287347
    {'hecke_orbit_code': 4504149416739538, 'n': 33, 'trace_an': 60}
  • id: 23287348
    {'hecke_orbit_code': 4504149416739538, 'n': 34, 'trace_an': -1}
  • id: 23287349
    {'hecke_orbit_code': 4504149416739538, 'n': 35, 'trace_an': -14}
  • id: 23287350
    {'hecke_orbit_code': 4504149416739538, 'n': 36, 'trace_an': 23}
  • id: 23287351
    {'hecke_orbit_code': 4504149416739538, 'n': 37, 'trace_an': -6}
  • id: 23287352
    {'hecke_orbit_code': 4504149416739538, 'n': 38, 'trace_an': 76}
  • id: 23287353
    {'hecke_orbit_code': 4504149416739538, 'n': 39, 'trace_an': -108}
  • id: 23287354
    {'hecke_orbit_code': 4504149416739538, 'n': 40, 'trace_an': 1}
  • id: 23287355
    {'hecke_orbit_code': 4504149416739538, 'n': 41, 'trace_an': 8}
  • id: 23287356
    {'hecke_orbit_code': 4504149416739538, 'n': 42, 'trace_an': 11}
  • id: 23287357
    {'hecke_orbit_code': 4504149416739538, 'n': 43, 'trace_an': 7}
  • id: 23287358
    {'hecke_orbit_code': 4504149416739538, 'n': 44, 'trace_an': -5}
  • id: 23287359
    {'hecke_orbit_code': 4504149416739538, 'n': 45, 'trace_an': -101}
  • id: 23287360
    {'hecke_orbit_code': 4504149416739538, 'n': 46, 'trace_an': -21}
  • id: 23287361
    {'hecke_orbit_code': 4504149416739538, 'n': 47, 'trace_an': 105}
  • id: 23287362
    {'hecke_orbit_code': 4504149416739538, 'n': 48, 'trace_an': 0}
  • id: 23287363
    {'hecke_orbit_code': 4504149416739538, 'n': 49, 'trace_an': -62}
  • id: 23287364
    {'hecke_orbit_code': 4504149416739538, 'n': 50, 'trace_an': -78}
  • id: 23287365
    {'hecke_orbit_code': 4504149416739538, 'n': 51, 'trace_an': -3}
  • id: 23287366
    {'hecke_orbit_code': 4504149416739538, 'n': 52, 'trace_an': 4}
  • id: 23287367
    {'hecke_orbit_code': 4504149416739538, 'n': 53, 'trace_an': 146}
  • id: 23287368
    {'hecke_orbit_code': 4504149416739538, 'n': 54, 'trace_an': -79}
  • id: 23287369
    {'hecke_orbit_code': 4504149416739538, 'n': 55, 'trace_an': 4}
  • id: 23287370
    {'hecke_orbit_code': 4504149416739538, 'n': 56, 'trace_an': -21}
  • id: 23287371
    {'hecke_orbit_code': 4504149416739538, 'n': 57, 'trace_an': -28}
  • id: 23287372
    {'hecke_orbit_code': 4504149416739538, 'n': 58, 'trace_an': 8}
  • id: 23287373
    {'hecke_orbit_code': 4504149416739538, 'n': 59, 'trace_an': -4}
  • id: 23287374
    {'hecke_orbit_code': 4504149416739538, 'n': 60, 'trace_an': -14}
  • id: 23287375
    {'hecke_orbit_code': 4504149416739538, 'n': 61, 'trace_an': -93}
  • id: 23287376
    {'hecke_orbit_code': 4504149416739538, 'n': 62, 'trace_an': -6}
  • id: 23287377
    {'hecke_orbit_code': 4504149416739538, 'n': 63, 'trace_an': -95}
  • id: 23287378
    {'hecke_orbit_code': 4504149416739538, 'n': 64, 'trace_an': -34}
  • id: 23287379
    {'hecke_orbit_code': 4504149416739538, 'n': 65, 'trace_an': -76}
  • id: 23287380
    {'hecke_orbit_code': 4504149416739538, 'n': 66, 'trace_an': -16}
  • id: 23287381
    {'hecke_orbit_code': 4504149416739538, 'n': 67, 'trace_an': -6}
  • id: 23287382
    {'hecke_orbit_code': 4504149416739538, 'n': 68, 'trace_an': 78}
  • id: 23287383
    {'hecke_orbit_code': 4504149416739538, 'n': 69, 'trace_an': 38}
  • id: 23287384
    {'hecke_orbit_code': 4504149416739538, 'n': 70, 'trace_an': 81}
  • id: 23287385
    {'hecke_orbit_code': 4504149416739538, 'n': 71, 'trace_an': -151}
  • id: 23287386
    {'hecke_orbit_code': 4504149416739538, 'n': 72, 'trace_an': 23}
  • id: 23287387
    {'hecke_orbit_code': 4504149416739538, 'n': 73, 'trace_an': 7}
  • id: 23287388
    {'hecke_orbit_code': 4504149416739538, 'n': 74, 'trace_an': -35}
  • id: 23287389
    {'hecke_orbit_code': 4504149416739538, 'n': 75, 'trace_an': -12}
  • id: 23287390
    {'hecke_orbit_code': 4504149416739538, 'n': 76, 'trace_an': -7}
  • id: 23287391
    {'hecke_orbit_code': 4504149416739538, 'n': 77, 'trace_an': 78}
  • id: 23287392
    {'hecke_orbit_code': 4504149416739538, 'n': 78, 'trace_an': -3}
  • id: 23287393
    {'hecke_orbit_code': 4504149416739538, 'n': 79, 'trace_an': -10}
  • id: 23287394
    {'hecke_orbit_code': 4504149416739538, 'n': 80, 'trace_an': 1}
  • id: 23287395
    {'hecke_orbit_code': 4504149416739538, 'n': 81, 'trace_an': 58}
  • id: 23287396
    {'hecke_orbit_code': 4504149416739538, 'n': 82, 'trace_an': -30}
  • id: 23287397
    {'hecke_orbit_code': 4504149416739538, 'n': 83, 'trace_an': 67}
  • id: 23287398
    {'hecke_orbit_code': 4504149416739538, 'n': 84, 'trace_an': -22}
  • id: 23287399
    {'hecke_orbit_code': 4504149416739538, 'n': 85, 'trace_an': -6}
  • id: 23287400
    {'hecke_orbit_code': 4504149416739538, 'n': 86, 'trace_an': -12}
  • id: 23287401
    {'hecke_orbit_code': 4504149416739538, 'n': 87, 'trace_an': -109}
  • id: 23287402
    {'hecke_orbit_code': 4504149416739538, 'n': 88, 'trace_an': 10}
  • id: 23287403
    {'hecke_orbit_code': 4504149416739538, 'n': 89, 'trace_an': -25}
  • id: 23287404
    {'hecke_orbit_code': 4504149416739538, 'n': 90, 'trace_an': -73}
  • id: 23287405
    {'hecke_orbit_code': 4504149416739538, 'n': 91, 'trace_an': 37}
  • id: 23287406
    {'hecke_orbit_code': 4504149416739538, 'n': 92, 'trace_an': 1}
  • id: 23287407
    {'hecke_orbit_code': 4504149416739538, 'n': 93, 'trace_an': 56}
  • id: 23287408
    {'hecke_orbit_code': 4504149416739538, 'n': 94, 'trace_an': -39}
  • id: 23287409
    {'hecke_orbit_code': 4504149416739538, 'n': 95, 'trace_an': -29}
  • id: 23287410
    {'hecke_orbit_code': 4504149416739538, 'n': 96, 'trace_an': 0}
  • id: 23287411
    {'hecke_orbit_code': 4504149416739538, 'n': 97, 'trace_an': -153}
  • id: 23287412
    {'hecke_orbit_code': 4504149416739538, 'n': 98, 'trace_an': 164}
  • id: 23287413
    {'hecke_orbit_code': 4504149416739538, 'n': 99, 'trace_an': -116}
  • id: 23287414
    {'hecke_orbit_code': 4504149416739538, 'n': 100, 'trace_an': 96}
  • id: 23287415
    {'hecke_orbit_code': 4504149416739538, 'n': 101, 'trace_an': -27}
  • id: 23287416
    {'hecke_orbit_code': 4504149416739538, 'n': 103, 'trace_an': -211}
  • id: 23287417
    {'hecke_orbit_code': 4504149416739538, 'n': 107, 'trace_an': 86}
  • id: 23287418
    {'hecke_orbit_code': 4504149416739538, 'n': 109, 'trace_an': -116}
  • id: 23287419
    {'hecke_orbit_code': 4504149416739538, 'n': 113, 'trace_an': 66}
  • id: 23287420
    {'hecke_orbit_code': 4504149416739538, 'n': 121, 'trace_an': -54}
  • id: 23287421
    {'hecke_orbit_code': 4504149416739538, 'n': 125, 'trace_an': 192}
  • id: 23287422
    {'hecke_orbit_code': 4504149416739538, 'n': 127, 'trace_an': 94}
  • id: 23287423
    {'hecke_orbit_code': 4504149416739538, 'n': 128, 'trace_an': 17}
  • id: 23287424
    {'hecke_orbit_code': 4504149416739538, 'n': 131, 'trace_an': -112}
  • id: 23287425
    {'hecke_orbit_code': 4504149416739538, 'n': 137, 'trace_an': -92}
  • id: 23287426
    {'hecke_orbit_code': 4504149416739538, 'n': 139, 'trace_an': 251}
  • id: 23287427
    {'hecke_orbit_code': 4504149416739538, 'n': 149, 'trace_an': -96}
  • id: 23287428
    {'hecke_orbit_code': 4504149416739538, 'n': 151, 'trace_an': -129}
  • id: 23287429
    {'hecke_orbit_code': 4504149416739538, 'n': 157, 'trace_an': -121}
  • id: 23287430
    {'hecke_orbit_code': 4504149416739538, 'n': 163, 'trace_an': -137}
  • id: 23287431
    {'hecke_orbit_code': 4504149416739538, 'n': 167, 'trace_an': -91}
  • id: 23287432
    {'hecke_orbit_code': 4504149416739538, 'n': 169, 'trace_an': -427}
  • id: 23287433
    {'hecke_orbit_code': 4504149416739538, 'n': 173, 'trace_an': 585}
  • id: 23287434
    {'hecke_orbit_code': 4504149416739538, 'n': 179, 'trace_an': 145}
  • id: 23287435
    {'hecke_orbit_code': 4504149416739538, 'n': 181, 'trace_an': 5}
  • id: 23287436
    {'hecke_orbit_code': 4504149416739538, 'n': 191, 'trace_an': -76}
  • id: 23287437
    {'hecke_orbit_code': 4504149416739538, 'n': 193, 'trace_an': -403}
  • id: 23287438
    {'hecke_orbit_code': 4504149416739538, 'n': 197, 'trace_an': -125}
  • id: 23287439
    {'hecke_orbit_code': 4504149416739538, 'n': 199, 'trace_an': -19}
  • id: 23287440
    {'hecke_orbit_code': 4504149416739538, 'n': 211, 'trace_an': -250}
  • id: 23287441
    {'hecke_orbit_code': 4504149416739538, 'n': 223, 'trace_an': -401}
  • id: 23287442
    {'hecke_orbit_code': 4504149416739538, 'n': 227, 'trace_an': -31}
  • id: 23287443
    {'hecke_orbit_code': 4504149416739538, 'n': 229, 'trace_an': 132}
  • id: 23287444
    {'hecke_orbit_code': 4504149416739538, 'n': 233, 'trace_an': 89}
  • id: 23287445
    {'hecke_orbit_code': 4504149416739538, 'n': 239, 'trace_an': -67}
  • id: 23287446
    {'hecke_orbit_code': 4504149416739538, 'n': 241, 'trace_an': 144}
  • id: 23287447
    {'hecke_orbit_code': 4504149416739538, 'n': 243, 'trace_an': -589}
  • id: 23287448
    {'hecke_orbit_code': 4504149416739538, 'n': 251, 'trace_an': -192}
  • id: 23287449
    {'hecke_orbit_code': 4504149416739538, 'n': 256, 'trace_an': 17}
  • id: 23287450
    {'hecke_orbit_code': 4504149416739538, 'n': 257, 'trace_an': -38}
  • id: 23287451
    {'hecke_orbit_code': 4504149416739538, 'n': 263, 'trace_an': 18}
  • id: 23287452
    {'hecke_orbit_code': 4504149416739538, 'n': 269, 'trace_an': 173}
  • id: 23287453
    {'hecke_orbit_code': 4504149416739538, 'n': 271, 'trace_an': -34}
  • id: 23287454
    {'hecke_orbit_code': 4504149416739538, 'n': 277, 'trace_an': -106}
  • id: 23287455
    {'hecke_orbit_code': 4504149416739538, 'n': 281, 'trace_an': -52}
  • id: 23287456
    {'hecke_orbit_code': 4504149416739538, 'n': 283, 'trace_an': -48}
  • id: 23287457
    {'hecke_orbit_code': 4504149416739538, 'n': 289, 'trace_an': -19}
  • id: 23287458
    {'hecke_orbit_code': 4504149416739538, 'n': 293, 'trace_an': 32}
  • id: 23287459
    {'hecke_orbit_code': 4504149416739538, 'n': 307, 'trace_an': -76}
  • id: 23287460
    {'hecke_orbit_code': 4504149416739538, 'n': 311, 'trace_an': -242}
  • id: 23287461
    {'hecke_orbit_code': 4504149416739538, 'n': 313, 'trace_an': -439}
  • id: 23287462
    {'hecke_orbit_code': 4504149416739538, 'n': 317, 'trace_an': 295}
  • id: 23287463
    {'hecke_orbit_code': 4504149416739538, 'n': 331, 'trace_an': 208}
  • id: 23287464
    {'hecke_orbit_code': 4504149416739538, 'n': 337, 'trace_an': 161}
  • id: 23287465
    {'hecke_orbit_code': 4504149416739538, 'n': 343, 'trace_an': 2}
  • id: 23287466
    {'hecke_orbit_code': 4504149416739538, 'n': 347, 'trace_an': -16}
  • id: 23287467
    {'hecke_orbit_code': 4504149416739538, 'n': 349, 'trace_an': -152}
  • id: 23287468
    {'hecke_orbit_code': 4504149416739538, 'n': 353, 'trace_an': -140}
  • id: 23287469
    {'hecke_orbit_code': 4504149416739538, 'n': 359, 'trace_an': -104}
  • id: 23287470
    {'hecke_orbit_code': 4504149416739538, 'n': 361, 'trace_an': 522}
  • id: 23287471
    {'hecke_orbit_code': 4504149416739538, 'n': 367, 'trace_an': 1200}
  • id: 23287472
    {'hecke_orbit_code': 4504149416739538, 'n': 373, 'trace_an': 626}
  • id: 23287473
    {'hecke_orbit_code': 4504149416739538, 'n': 379, 'trace_an': 165}
  • id: 23287474
    {'hecke_orbit_code': 4504149416739538, 'n': 383, 'trace_an': 731}
  • id: 23287475
    {'hecke_orbit_code': 4504149416739538, 'n': 389, 'trace_an': 30}
  • id: 23287476
    {'hecke_orbit_code': 4504149416739538, 'n': 397, 'trace_an': 63}
  • id: 23287477
    {'hecke_orbit_code': 4504149416739538, 'n': 401, 'trace_an': -182}
  • id: 23287478
    {'hecke_orbit_code': 4504149416739538, 'n': 409, 'trace_an': 628}
  • id: 23287479
    {'hecke_orbit_code': 4504149416739538, 'n': 419, 'trace_an': 156}
  • id: 23287480
    {'hecke_orbit_code': 4504149416739538, 'n': 421, 'trace_an': -159}
  • id: 23287481
    {'hecke_orbit_code': 4504149416739538, 'n': 431, 'trace_an': -36}
  • id: 23287482
    {'hecke_orbit_code': 4504149416739538, 'n': 433, 'trace_an': -194}
  • id: 23287483
    {'hecke_orbit_code': 4504149416739538, 'n': 439, 'trace_an': -415}
  • id: 23287484
    {'hecke_orbit_code': 4504149416739538, 'n': 443, 'trace_an': -260}
  • id: 23287485
    {'hecke_orbit_code': 4504149416739538, 'n': 449, 'trace_an': -74}
  • id: 23287486
    {'hecke_orbit_code': 4504149416739538, 'n': 457, 'trace_an': -86}
  • id: 23287487
    {'hecke_orbit_code': 4504149416739538, 'n': 461, 'trace_an': 788}
  • id: 23287488
    {'hecke_orbit_code': 4504149416739538, 'n': 463, 'trace_an': 77}
  • id: 23287489
    {'hecke_orbit_code': 4504149416739538, 'n': 467, 'trace_an': -185}
  • id: 23287490
    {'hecke_orbit_code': 4504149416739538, 'n': 479, 'trace_an': 74}
  • id: 23287491
    {'hecke_orbit_code': 4504149416739538, 'n': 487, 'trace_an': -744}
  • id: 23287492
    {'hecke_orbit_code': 4504149416739538, 'n': 491, 'trace_an': -22}
  • id: 23287493
    {'hecke_orbit_code': 4504149416739538, 'n': 499, 'trace_an': -399}
  • id: 23287494
    {'hecke_orbit_code': 4504149416739538, 'n': 503, 'trace_an': -34}
  • id: 23287495
    {'hecke_orbit_code': 4504149416739538, 'n': 509, 'trace_an': 537}
  • id: 23287496
    {'hecke_orbit_code': 4504149416739538, 'n': 512, 'trace_an': -34}
  • id: 23287497
    {'hecke_orbit_code': 4504149416739538, 'n': 521, 'trace_an': -214}
  • id: 23287498
    {'hecke_orbit_code': 4504149416739538, 'n': 523, 'trace_an': -501}
  • id: 23287499
    {'hecke_orbit_code': 4504149416739538, 'n': 529, 'trace_an': 2}
  • id: 23287500
    {'hecke_orbit_code': 4504149416739538, 'n': 541, 'trace_an': -21}
  • id: 23287501
    {'hecke_orbit_code': 4504149416739538, 'n': 547, 'trace_an': -270}
  • id: 23287502
    {'hecke_orbit_code': 4504149416739538, 'n': 557, 'trace_an': -557}
  • id: 23287503
    {'hecke_orbit_code': 4504149416739538, 'n': 563, 'trace_an': 219}
  • id: 23287504
    {'hecke_orbit_code': 4504149416739538, 'n': 569, 'trace_an': -182}
  • id: 23287505
    {'hecke_orbit_code': 4504149416739538, 'n': 571, 'trace_an': -243}
  • id: 23287506
    {'hecke_orbit_code': 4504149416739538, 'n': 577, 'trace_an': -123}
  • id: 23287507
    {'hecke_orbit_code': 4504149416739538, 'n': 587, 'trace_an': 354}
  • id: 23287508
    {'hecke_orbit_code': 4504149416739538, 'n': 593, 'trace_an': -475}
  • id: 23287509
    {'hecke_orbit_code': 4504149416739538, 'n': 599, 'trace_an': -160}
  • id: 23287510
    {'hecke_orbit_code': 4504149416739538, 'n': 601, 'trace_an': -201}
  • id: 23287511
    {'hecke_orbit_code': 4504149416739538, 'n': 607, 'trace_an': 208}
  • id: 23287512
    {'hecke_orbit_code': 4504149416739538, 'n': 613, 'trace_an': -141}
  • id: 23287513
    {'hecke_orbit_code': 4504149416739538, 'n': 617, 'trace_an': -385}
  • id: 23287514
    {'hecke_orbit_code': 4504149416739538, 'n': 619, 'trace_an': 689}
  • id: 23287515
    {'hecke_orbit_code': 4504149416739538, 'n': 625, 'trace_an': 195}
  • id: 23287516
    {'hecke_orbit_code': 4504149416739538, 'n': 631, 'trace_an': -169}
  • id: 23287517
    {'hecke_orbit_code': 4504149416739538, 'n': 641, 'trace_an': -289}
  • id: 23287518
    {'hecke_orbit_code': 4504149416739538, 'n': 643, 'trace_an': 392}
  • id: 23287519
    {'hecke_orbit_code': 4504149416739538, 'n': 647, 'trace_an': -56}
  • id: 23287520
    {'hecke_orbit_code': 4504149416739538, 'n': 653, 'trace_an': 100}
  • id: 23287521
    {'hecke_orbit_code': 4504149416739538, 'n': 659, 'trace_an': -88}
  • id: 23287522
    {'hecke_orbit_code': 4504149416739538, 'n': 661, 'trace_an': -372}
  • id: 23287523
    {'hecke_orbit_code': 4504149416739538, 'n': 673, 'trace_an': -38}
  • id: 23287524
    {'hecke_orbit_code': 4504149416739538, 'n': 677, 'trace_an': 449}
  • id: 23287525
    {'hecke_orbit_code': 4504149416739538, 'n': 683, 'trace_an': 93}
  • id: 23287526
    {'hecke_orbit_code': 4504149416739538, 'n': 691, 'trace_an': 372}
  • id: 23287527
    {'hecke_orbit_code': 4504149416739538, 'n': 701, 'trace_an': 1393}
  • id: 23287528
    {'hecke_orbit_code': 4504149416739538, 'n': 709, 'trace_an': 43}
  • id: 23287529
    {'hecke_orbit_code': 4504149416739538, 'n': 719, 'trace_an': -825}
  • id: 23287530
    {'hecke_orbit_code': 4504149416739538, 'n': 727, 'trace_an': -2}
  • id: 23287531
    {'hecke_orbit_code': 4504149416739538, 'n': 729, 'trace_an': 1084}
  • id: 23287532
    {'hecke_orbit_code': 4504149416739538, 'n': 733, 'trace_an': 622}
  • id: 23287533
    {'hecke_orbit_code': 4504149416739538, 'n': 739, 'trace_an': -78}
  • id: 23287534
    {'hecke_orbit_code': 4504149416739538, 'n': 743, 'trace_an': -679}
  • id: 23287535
    {'hecke_orbit_code': 4504149416739538, 'n': 751, 'trace_an': -852}
  • id: 23287536
    {'hecke_orbit_code': 4504149416739538, 'n': 757, 'trace_an': 900}
  • id: 23287537
    {'hecke_orbit_code': 4504149416739538, 'n': 761, 'trace_an': 412}
  • id: 23287538
    {'hecke_orbit_code': 4504149416739538, 'n': 769, 'trace_an': -591}
  • id: 23287539
    {'hecke_orbit_code': 4504149416739538, 'n': 773, 'trace_an': -148}
  • id: 23287540
    {'hecke_orbit_code': 4504149416739538, 'n': 787, 'trace_an': 112}
  • id: 23287541
    {'hecke_orbit_code': 4504149416739538, 'n': 797, 'trace_an': 373}
  • id: 23287542
    {'hecke_orbit_code': 4504149416739538, 'n': 809, 'trace_an': -569}
  • id: 23287543
    {'hecke_orbit_code': 4504149416739538, 'n': 811, 'trace_an': -635}
  • id: 23287544
    {'hecke_orbit_code': 4504149416739538, 'n': 821, 'trace_an': 38}
  • id: 23287545
    {'hecke_orbit_code': 4504149416739538, 'n': 823, 'trace_an': 85}
  • id: 23287546
    {'hecke_orbit_code': 4504149416739538, 'n': 827, 'trace_an': 428}
  • id: 23287547
    {'hecke_orbit_code': 4504149416739538, 'n': 829, 'trace_an': 189}
  • id: 23287548
    {'hecke_orbit_code': 4504149416739538, 'n': 839, 'trace_an': -464}
  • id: 23287549
    {'hecke_orbit_code': 4504149416739538, 'n': 841, 'trace_an': -605}
  • id: 23287550
    {'hecke_orbit_code': 4504149416739538, 'n': 853, 'trace_an': -824}
  • id: 23287551
    {'hecke_orbit_code': 4504149416739538, 'n': 857, 'trace_an': -437}
  • id: 23287552
    {'hecke_orbit_code': 4504149416739538, 'n': 859, 'trace_an': 128}
  • id: 23287553
    {'hecke_orbit_code': 4504149416739538, 'n': 863, 'trace_an': -125}
  • id: 23287554
    {'hecke_orbit_code': 4504149416739538, 'n': 877, 'trace_an': -477}
  • id: 23287555
    {'hecke_orbit_code': 4504149416739538, 'n': 881, 'trace_an': -86}
  • id: 23287556
    {'hecke_orbit_code': 4504149416739538, 'n': 883, 'trace_an': 1}
  • id: 23287557
    {'hecke_orbit_code': 4504149416739538, 'n': 887, 'trace_an': -871}
  • id: 23287558
    {'hecke_orbit_code': 4504149416739538, 'n': 907, 'trace_an': -441}
  • id: 23287559
    {'hecke_orbit_code': 4504149416739538, 'n': 911, 'trace_an': 948}
  • id: 23287560
    {'hecke_orbit_code': 4504149416739538, 'n': 919, 'trace_an': 52}
  • id: 23287561
    {'hecke_orbit_code': 4504149416739538, 'n': 929, 'trace_an': 158}
  • id: 23287562
    {'hecke_orbit_code': 4504149416739538, 'n': 937, 'trace_an': 116}
  • id: 23287563
    {'hecke_orbit_code': 4504149416739538, 'n': 941, 'trace_an': 1606}
  • id: 23287564
    {'hecke_orbit_code': 4504149416739538, 'n': 947, 'trace_an': -742}
  • id: 23287565
    {'hecke_orbit_code': 4504149416739538, 'n': 953, 'trace_an': 4}
  • id: 23287566
    {'hecke_orbit_code': 4504149416739538, 'n': 961, 'trace_an': -558}
  • id: 23287567
    {'hecke_orbit_code': 4504149416739538, 'n': 967, 'trace_an': -397}
  • id: 23287568
    {'hecke_orbit_code': 4504149416739538, 'n': 971, 'trace_an': -1005}
  • id: 23287569
    {'hecke_orbit_code': 4504149416739538, 'n': 977, 'trace_an': -447}
  • id: 23287570
    {'hecke_orbit_code': 4504149416739538, 'n': 983, 'trace_an': -50}
  • id: 23287571
    {'hecke_orbit_code': 4504149416739538, 'n': 991, 'trace_an': -237}
  • id: 23287572
    {'hecke_orbit_code': 4504149416739538, 'n': 997, 'trace_an': -393}