Newform data - 10.28.a.c

Formats: - HTML - YAML - JSON - 2025-01-12T23:52:25.006305

• 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': 7840, 'analytic_conductor': 46.185557483805084, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [10, 1, [7], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 711649, 'field_disc_factorization': [[711649, 1]], 'field_poly': [-177912, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-4318634737116, 4702956, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199724503050, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 240, 'hecke_ring_index_factorization': [[2, 4], [3, 1], [5, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '10.28.a.c', 'level': 10, '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': True, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '10.28.a.c', 'nf_label': '2.2.711649.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2^{13}q^{2}+(-2351478-31\\beta )q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '27.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10.28.a', 'trace_display': [16384, -4702956, -2441406250, -57185041508], 'trace_hash': 2226430344474607232, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.930', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.440', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.970', 'prec': 20}], 'trace_zratio': 0, 'traces': [2, 16384, -4702956, 134217728, -2441406250, -38526615552, -57185041508, 1099511627776, 15503869642194, -20000000000000, 169851430699104, -315610034601984, -1039094991262796, -468459860033536, 5740913085937500, 9007199254740992, -50445145609767948, 127007700108853248, 446863730094123400, -163840000000000000, 467006108827766424, 1391422920287059968, -6647307932323726956, -2585477403459452928, 2980232238769531250, -8512266168424824832, -93224365905702240360, -3837623173394726912, -47997399844470169380, 47029560000000000000, 33574730315678836744, 73786976294838206464, 49548682554417655488, -413246632835219030016, 69805958872070312500, 1040447079291725807616, -1349929187895125662508, 3660707676931058892800, -4361597048598395237112, -1342177280000000000000, -1182957469635679236756, 3825714043517062545408, -3918269768563513059836, 11398536562991595257856, -18925622121818847656250, -54454746581595971223552, -32027326481691215437428, -21180230889139838386176, -124175335159331248585254, 24414062500000000000000, 41224319062757865329544, -69732484451736165023744, -338645206816246511641596, -763694005499512753029120, -207338172240117187500000, -31437809036449602863104, -1576241472518493550388400, -393194699525899627560960, -343725486206796714375960, 385266155520000000000000, 228063235764015707336884, 275044190746041030606848, -2007200379545784196719876, 604462909807314587353088, 1268426503006342773437500, 405902807485789433757696, -3973383158722681594905428, -3385316416186114293891072, 7315190141287874962404168, 571850415080000000000000, -2414614414513749020227176, 8523342473557817815990272, -12422599244545503708131996, -11058619907236869427265536, -7007950544357299804687500, 29988517289419234449817600, 2723296993852627128197184, -35730203022118053782421504, 14197635994550588853149680, -10995116277760000000000000, 321295031247975610705880202, -9690787591255484307505152, 113637606793167338211169284, 31340249444491776371982336, 61578546886923764648437500, -32098465944072298986176512, 514617127953054957365529240, 93376811524027148352356352, 139217760348347863809112020, -155038696421940000000000000, -85180767378984078493944616, -446093283996434196263337984, -1371703352271155402043821232, -262367858538014436863410176, -545487951775052978515625000, -173508451443833556059553792, 1199842643269565667896244292, -1017244345625241588410400768, -794717627905923529800830112, 200000000000000000000000000, -284070930123000032658475716, 337709621762112432779624448, -674498990326571608645648316, -571248512628622663874510848, -570075816440144560546875000, -2774181534238691423367954432, -1434771518561973905769472548, -6256181293052008472814551040, 4646535738188445742528736500, -1698514306991040000000000000, 9098305430778026355182065224, -257538531626595146654547968, -1602818160170240087675022156, -12912570142871499164781772800, 8114389565824862006835937500, -3221050978516169748979384320, 23948647436893523067197810388, -2815799183006078684167864320, 135646649187816194113915992, 3156100346019840000000000000, -1561942166397871401134180134, 1868294027378816674503753728, 59880716858074815766397542968, 2253162010591568122731298816, -3637978807091712951660156250, -16442985509239064139529224192, 23101668282881753369020748092, 4951760157141521099596496896, -61670968405466138665537512792, 10390949912627960000000000000, 38774723214181790303408582304, 3325155798923587041343045632, -21648323299460710049952941200, -32549954836256207625465266176, 113799274787234180126953125000, -27732512081396648295555661824, 13785764723375073256541411652, 59926037637430271692014944256, -10906242580856579320205936120, 4684598600335360000000000000, -100865688897517651081426359816, -19780521283696631973701025792, -243357864639495537487630780992, 69823221543385643548592308224, 58590575982019249731445312500, -101765933011316766377017311232, 272979441387448009976784564612, -90592214280084434348159270912, -688666834464822753717554634300, -57409130859375000000000000000, -580425272671603930307177126696, 245665933634922368612905779200, -27055941339680554122029893356, 22309248973640721434191331328, -40984778217381392509765625000, -292701823157191096585596960768, -823094321439587221253966363708, 116307034067358423885002178560, -211446354057431656761166922712, -90071992547409920000000000000, 49664817302700737097781622424, 2632048895983416202902570614784, -1021368027840606048875949609116, -79386931947564927447082205184, -60484231633810614609375000000, 930919274849626834625898774528, 1333595478947393949764218840572, 256739323449276632039279296512, 505915419219765171968028961374, 504451456097679480000000000000, 5935232581833737157427466829000, -262950633013840273294757986304, -1016772162114471398896249901916, 4215743512191426210738415534080, -85212352138757705688476562500, 764942840004830399302503235584, -2177752707281066196493460167920, 1140471892773665700324245667840, 68130931299247130405000473560, -1270077001088532480000000000000, 276810643036989255613947450844, -697800846368637571022394294272, -7051785071010965016172403029752, -3654396182498788935789264764928, 1647862778192292068491210937500, -11236993861805305053542983532544, -6048246931916430170276989240896, -2149317497143414266785056161792, 6385021188456977831134748604240, -4468637300941234000000000000000, 853800018117413891637169169304, -1421381234227884491239864664064, 8063177537277557998563216580084, 9829110933664281951406033240064, 5324215147214837935927734375000, -8333265679361979092258003091456, -25224306221913977599021712129868, -6510326807805325556128400277504, 1521105660556694636696586860080, 1638400000000000000000000000000, 8606745331968122772376087971384, -2327109059567616267538233065472, 8155280298568539682573059373320, 2766517221475225049330683478016, 1444039879926366255805664062500, -5525495728755274618025151004672, -12420617660288691884942782009932, -4679667815453676862459992866816, 25973188942752056066598182025600, -4670061088277664240000000000000, -38877721976878588856316374689856, -22726095128483360140230282706944, 54203327404284708408204868274928, -11753648280059690236063519113216, 4783044151078507153120117187500, -51250637152682053409296802119680, -22785953990146835601084130949776, 38064420767239747522795409408000, 127473759392867106576410589952488, -13914229202870599680000000000000, 52949004217946181787640643484104, 74533318088933591901651478315008, -68979039307819952101141163183276, -2109755651085067441394056953856, 23102566066673398017883300781250, -13130286368114606798233781501952, 76570686633643501367373525314172, -105779774610403321157892282777600, 215424725125351073795766186249100, 66473079323237269560000000000000, 9000518785904701890114045752448, -26386849616004462583639116349440, -88024532841575181873959767249836, 196187319803031740966484462698496, 39095857521595721969516601562500, -23067026907185796580703144509440, -55231180391731805089162009710240, 1111217350146590262181199806464, -240153152804617368174810420780240, 25854774034594529280000000000000, -305058096346548027051218429859236, -12795430227131362518091203657728, -774392687809183503451983252297636, 15305064672287266197534750539776, 151581219676918028058171386718750, 490542832501348890758328671993856, -50624051975986725440119751383600, 18457903190766126061414799900672, -52365235326649385111690374993752, -29802322387695312500000000000000, 396413153410173683930808625204704, -134700937291686413431023404580864, -754076289889317525256427910472512, 189248866573367323599017968369664, -50322655105905597326103515625000, 40564819207303340847894502572032, 335448453569640534963695772178932, -505208573177578607948083304792064, 138614286960236057409231155182232, 85122661684248248320000000000000, -2261496096329255350714986328043460, 317642532570577226165523106234368, -613462313984878207309879552430076, 27239676304782025042682229817344, 413385262226863417531245117187500, -177343064469182136729214494310400, 1232298092068546736420746126138440, -266649230018610852867811460513792, 1907711952981847571436103268287380, 932243659057022403600000000000000, 19273477880203848303457815029464, -227184738970801342837191981662208, 222104346125905005958371118536048, 112932984613888600117587244253184, 253098354785299301147460937500000, 490914100325828785700986423345152, -433714694883421645689963702492668, -89343939222377097791127028695040, 6340030128359978871740742283389768, 38376231733947269120000000000000, 282848960519220270161049792628524, -826291723448464597659044739612672, 32394512949813591077740094295124, -162042030356042809128558803288064, 1924122891257926697251464843750000, -1993587627126747443098671357886464, 997844882573778254765155905070824, 571991830883415191950068188971008, -1758936450206261796060240678848794, 479973998444701693800000000000000, -4629461590511466884043204470367576, -833666523228706950160525813612544, -3626440851933041029628544390273516, 2236247583845974097729819153301504, 419586775154781145478466796875000, -742131419382451686180120747311104, -2895528207301497608210434330485120, -5641558707935827998454207564185600, 6326695631647740104270316567354888, -470295600000000000000000000000000, -1084735937798976567145044866550856, -4754843833725779397076395021893632, -3799306880816363169758213682250152, 2012495328337284043676924143206400, -278397504594745736495219726562500, -221642271454663099367668886372352, -6324847037709839816005646917402388, 182757367592064789988895386238976, 10588629866694854815206961953195048, -335747303156788367440000000000000, -3694337272856247501000907608458136, -2397813335303709463229210302611456, 587245759663581748367568412461364, -6742788681233098516512492451495936, 2450195775812724849511567382812500, 952787223079800208465937846763520, 2052007001290700419994803597153572, -1732168532438480132187479430856704, 5081249909249042447720520916971840, -737869762948382064640000000000000, 14314892711635014955932061114590744, 406854183343724438305027050897408, -9206285836563645712244735251614000, 21561744555896145534177858476310528, -1548372196052664518356323242187500, -8367046884070244752391779197878272, -16387141601493972797418053512980600, -650337746514451885646497424867328, -2058715219677597686232126969910488, -495486825544176554880000000000000, 27171338944980052547544587574423184, 7626090699568143029255362760933376, -38324764578877171483807319696081676, 10924814163537051236468480741965824, 4850321238675148431281040039062500, 2103208537696474169665775997026304, -3757359202924353015172801583610428, 4144459114248316288762093251575808, 3603697407514504597409664109845768, 4132466328352190300160000000000000, -26615403996201046276734238628598912, 48621425310381974793645808263168000, 6987194604194743854690040031417960, -2154091585649379518830657423802368, -8929675465439300491216025390625000, -8329397552041749699758079196495872, 20196248302607381301772964933715852, 34535370851872163518369100055183360, 51084301882029123397295235211868860, -698059588720703125000000000000000, -27681105478625979578726329004645520, 6266411745319570631086106505904128, 799784931214396932640493043629604, -17840150178046494281674425695600640, 2947527361466978784457001953125000, 9342745745601869417056220510945280, -6493446089802784196364953426188176, 558128589203432492277763879403520, -83624390563563067275386019396489840, -10404470792917258076160000000000000, 46660272230103737805274016054222922, 2267632787759015981989457517314048, 79927771836010517200999298216382852, -5716384533451878981815454058676224, 15164305718439335581215815429687500, -57768223301721825412484325619728384, 39453287260465830319739956872238252, -29936813527030078961985656954290176, -277704380347583172403427761342666932, 13499291878951256625080000000000000, -7331669527889269079652212942665416, -92053453715909058998624121098600448, 16835524877699990041961068204606084, -49547238866259395954909095861420032, 8554627129342406988143920898437500, -17607208936598849673503180077400064, -113868089257777482342630214283323560, 52306093575839562392655860565934080, -14369078938669113878696465200764680, -36607076769310588928000000000000000, -51994526972602805597519637759547176, 6994329748417854600291689834938368, 56525585965011574722554368996848564, -11643955070794829752236971328012288, -3324337150699007724850078125000000, 66053550385377755124229870224048128, 302993423049046071994666092814822308, 80520076768577797745918224302604288, 4543628977653260877061927457144580, 43615970485983952371120000000000000, 200339279130677466038637634268945544, -68266112445333332723777561325207552, -22741304289617632440550222519019712, -206637516569919304491185865767878656, -17331098626160386783629980468750000, -53332597209541226955803855073312768, 93776794674516791427697279844092852, 12460897571280442463818439557775360, 140228835938906377706709522323426400, 13421772800000000000000000000000000, 218605161296236021741328907425688324, 70506457759482861751304912661577728, 429201243426259091479777942659412688, -19063677415977912463673205272346624, -392205848691376477912451418457031250, 66808056205873477079638502386237440, 20386264772166410310735164807937984, 22663309078325043604116959051907072, -124784115845610657537360489263131940, 11829574696356792367560000000000000, 522001978661813566162372580036107944, -45264861009963209670862037030273024, -40585886948848779497106353810548560, -101749699873084963921451270225362944, -138717781729940598402306254882812500, -38335838744196520857272261564956672, 251459713441826214874627651655764560, 212772363819024843297572307153715200, -372031652566166311275409928751619080, -38257140435170625454080000000000000, -277674140679586241509866032231824316, -318486298434589399910943741459300352, 580280072383569250633579341595531884, -186172171292535686268766475935285248, -75169124617826861143112182617187500, 444033658095900331280014280908210176, -116524180768783940099781855192804136, -96285886710248982413832348575465472, -238920494973240554416959768675690624, 39182697685635130598360000000000000, -250978611398505177157662521888411976, -419845219554771381528959402964418560, -775532152831342940808901199451239036, -186662535087282877244081200740564992, -628194736270819039752843310546875000, 311823734925228011706739993870336000, -1263372586898396993596929454507508400, 1044265036946367337073955552890781696, 324308362616305044442130605186750000, -113985365629915952578560000000000000, -873167094173442477780169879798898838, 433758242553415121204352151421779968, -1000363402237691839654856658156978396, 610576941784543984858328910356545536, -169943555112729325938857446289062500, -565076290009661047612548408797396992, 1093992349807680004530106010090303400, -17283118293688872479900114565988352, -1870842516219353448716956874573887860, 189256221218188476562500000000000000, 1201040365034044527827785254713268288, -107563305927594858891131138063990784, 1091494547170813098780194366384888688, 627267064902807563201523919373697024, 103980428929423923942803486328125000, -866547913608424006925453580514099200, -594193674102471062440673642634850988, 1764759348226875996534916597752627200, 1485662212711647902823069340071177840, 544547465815959712235520000000000000, -277607057802082388002307251290759156, 73732249894131317883814262804054016, -720229455838037816967650109416512796, -216161072054308557485171641134612480, 1674442568690375246635523964843750000, -721096973038183889911478413310656512, -826189996009006418711735714231766228, 1607166523826436021997440718426079232, 101173160647793638854366291916891112, 320273264816912154374280000000000000, 3452103499554195010993765614448602024, -188965084423666045589120159821332480, -1948493725037951801724675671202679872, -452453829769066947290415183546286080, 665878847381656467914581298828125000, 9103092532400867427788388814553088, 2114309983178920218259281045433978788, -1967334627775425480088046967031726080, 1641755855620073142455011744622088240, 211802308891398383861760000000000000, -1345375690629434821734658869670449016, -2499035925270921437603581377406861312, -984252866875479140650454395770208272, -104820164420660121748203140364107776, -1464651664147419028193657583007812500, -6343824898532831260278646802822234112, 2022750111103823289884719393765514092, 125379089795377284690204676421844992, 2306297055423595771476373830364025448, 1241753351593312485852540000000000000, 2047954211080905693163498208871458784, 4018526883851050113092228480973668352, -368072693036449098911881186397584680, -414712233787283254805461003334451200, 970114291877348058838903945312500000, 151207142938756104695110040786305024, 888310143007300459464015859381729104, -428976007795911762834967551948816384, 2947907540627778418894875244093244680, -244140625000000000000000000000000000, 3554136528337903020844682669129463384, 3247416552736142818761184257676935168, -8053529744570978913389271362294386236, -1103470078293495098826943730326437888, 346766272122802774241303364257812500, -6177392966773289166900657442590818304, 5881398734784074138747053226552070828, 1550326714969025114923155196884287488, -897614743704878810431325918481375780, -412243190627578653295440000000000000, 2014187375865626789757455797849048184, 332306998946228968225951765070086144, -26706589517360048448038668413634461600, 2747993731642495262422595765689810944, 823363025300990733210019916992187500, -4138668631470723956310698432856588288, -6735693272436774390923964717466366656, 1135528238778253782296421623252844544, 8357492689134923751249291864715807848, 697324844517361650237440000000000000, -8923194370681737758471888820851438316, -18526176021129259833057167999332024320, 1552748026700984718710991117001266964, 2602127626818168636747965286271942656, 695893330615410840511322021484375000, -5025483276164122274282533293507182592, 4233048202301243897302107780931464144, 223147428288774349149652826663682048, 13917900031931997081448552952328236474, 3386452068162465116415960000000000000, 11378562539603457926325516468063952680, -1452794384131540064085725137390796800, -19113051290325381713091701913781947912, 10094985970225534864758752265326100480, 1751430076369597052941250668945312500, -2184390492312460106693111484528984064, -2429706498062082085651305696099515280, 15627976318827295305204557973810216960, -10979129061064124034966473878068319008, 7636940054995127530291200000000000000, 25862160108477120655305103677663138604, 157888330794629925301926420721369088, 9769255721709571416047382696147490968, -1861097381648804600522276713776807936, -5672040696030817556797774047851562500, 1819478803463413808810976203047305216, 10335381102058344250538609924570935612, 925147009956975412163274704922083328, 32410038285590922882961712215039572948, 2073381722401171875000000000000000000, -21442033098456959033394356470906611600, 4021568309869189412462480780043485184, -774775074775018731022409816348996320, -3552990780484990121492182650819936256, -11106329871555207953103106962890625000, -731905550109713185104912619069767680, -18625925363201354686008584249237822028, 51937526811524946917300160785528979456, 26526318142729360022906492429872621928, 314378090364496028631040000000000000, -3674307999272821892396297604343619712, 2317098684573452453159319901212868608, -1177466140682041633443348546494922636, -6768981798489821984022894506907009024, 1956565136926562607025173530273437500, 265375850084872938108846852465655808, -21507509306450808805836528387350411508, -1327448312676702692381153716535820288, -39458295455306685051722217275748294180, 15762414725184935503884000000000000000, -16488023675621814663085255839308322416, -16331469841422315053864315763805913088, -624738501551553576756091318130122512, 8174345278044391463036157174340190208, -9905260700469802254438400268554687500, 4685757078596937252454958604050497536, 23257337296857981890265701878664658772, -14409207400089696633325491641129320448, -44666628948020112196964438468294572152, 3931946995258996275609600000000000000, 378214747127886902999745109973223864, -37924549349469936714081931021251182592, -51730441908899490803012413845976310592, -6829396158289567335715027465113960448, -29234188765739163900387952133789062500, -29707803459035472114717035645120643072, -33878162513515153585084165017876817188, 18319340206866219808602678503845920768, 41989528539787449952066921908651898400, 3437254862067967143759600000000000000, 52885882446831807675119420171531389704, -6079540587581044213187549161972563968, 38844860341694672802075495033188040804, -23720167074213868406459878035334103040, -165584288559345940080463857421875000, -46215648935410302963336868365808435200, 102819084059674981941915675827707899360, 51828290614458286934182433319771242496, -44400157087492891272962227539345804480, -3852661555200000000000000000000000000, -1439226315300959351977143867930222836, -8886156802449216038052207546784612352, -27337314510537561931540506128294867316, -38951680685881584820849828019352633344, 1906667683591151612712622233886718750, -31123921967647647086659286484993245184, 75429411485544188208561123786639370732, 16486361729739030885801362581146828800, -38644522608468323252776621312340253360, -2280632357640157073368840000000000000, 77508778764522650046685590545636639544, -1815693487756600110019943517162307584, -45334641695148251481379149391459346156, -51813146932919007772718259547360362496, -73096578195892109089840750693359375000, 1497148355314194759589031004069691392, 122935650901186936337195576086439048532, 86742055867964250646175432320573833216, -71545076640912252088037959641995368040, -2750441907460410306068480000000000000, 216831265110220458878582215857051901680, -30264010939238379528199435128489050112, 22351750618025686444001102551496608920, -19642886842807987922773690798993047552, 4440892098500626161694526672363281250, 4810717263164061682627120434883493888, -5389838468711038040125173819169363200, -55236924876661543047270338162654707712, 10770348019878392651600301158069795592, 20072003795457841967198760000000000000, 17784400700125447646587120926340940344, 7805232931469723307752962840686755840, 20492646185715722497443606506828055168, 16810041354573417840597431067882061824, -28200278665627140343042905385742187500, -14189924617736029242879831497578119168, 71085037437405961452440441843829507492, 41625599256568155731726507351833313280, -246930823916675881832377038577151944872, -6044629098073145873530880000000000000, 162858144320679715562276600251092211164, 117267601093714042518995444650727374848, 67940451444053260088475567397703570164, 3332949469951790598594781600951566336, 75281943854328782550704971669921875000, -75417893573129385674708871181221888000, 4398325969570909192774588431998266572, 176633811401901224215985016637935845376, -97253789842165975545933809472030318720, -12684265030063427734375000000000000000, 96126155430895138603066348837733970528, -68542848074303445011593455189018804224, 17617495967176984944834410017688120004, -134243463999438625156448694378337075200, -47332425798561755741465554570312500000, -5327566819446389847216106904513150976, -558422408645798308425027637020057174012, -16864995079598880245613584137506717696, -96489631772028842692616693701781454600, -4059028074857894337576960000000000000, -145569987721032462411423477917242489436, 222587608637276590469485261409674723328, 87342412222998730085968741117659649488, 62472935010862227695659931737566216192, 26426175902661999572696461425781250000, -313956471430161788795349562950301089792, -10094836209088795221665556977865350760, 89496077627695523729149794238184030208, 204584255030321937424195405767253078728, 39733831587226815949054280000000000000, -129144587228162836793840122915912007232, 17229484340809516397902036967639482368, -106467976183787807704265526195224764316, -30780286590356299900295590572936626176, -138915130355510473787784576416015625000, 33951409063922207037539067916909019136, 328151458910176612363539456641087181492, 29521489162358821661979968387856531456, -64832552330226134603112131450500708168, 33853164161861142938910720000000000000, -459387843686545942137901017966318651816, -218033389536878971099006882845482287104, -131421737274344137897033676734070514876, 398306716142649137509546461291872256000, -16828326078338712471364027895507812500, 57239098197563341657620807937375928320, -395705845341316893282028258291068030600, -17646318269639717018260745615788998656, 524123417263766250726233547452770396008, -73151901412878749624041680000000000000, 29609864289360636491218438440444464464, -68234424746326013540418184777694183424, -51334885537342950784998511142714031552, 165447666094959667624124128737000259584, 13313284400459691552985761865234375000, 282913758018536763542479667652062085120, -194534065311272904280849000191379128456, 418482601017582578870642566855629701120, -282542559779039353183222787311405380792, -5718504150800000000000000000000000000, 108925468008025738381621005662316370164, -226763616080904024708926087206056099840, -459656112003701625698158901527327342000, 51334445017657922609857384496366616576, 123127061642477601417756786884765625000, 6551838156508339672190919013413715968, -67300451965184495791218961243578321336, -146146510258556881155476895298360442880, 157495666226408914832356082091805467820, 24146144145137490202271760000000000000, 212798757868566209839372000272767138160, 76535773147970514264524558425663733760, 434215255642424640124630469374327890768, -53194310367664408136621698467333537792, 297067705858759201034705543203125000000, 4572189402754518976739441700073635840, 675798484678615736099119912339614935520, -685051007496708647119962270896044769280, 272940136706392685788785552917566067760, -85233424735578178159902720000000000000, 171278756481218317614236238295768862264, 382240950109009820100804739516194177024, 304585761407541772877614447474968998808, 18576447797321858924457635981836681216, -71521699196800841957330703735351562500, 654768306880598156910586250988608323584, 357275818382904342296749776553475846332, -46828622098037792619032199648675627008, 2571102912766988544874346019797772789834, 124225992445455037081319960000000000000, 377371121139704150872525436881481215464, -473237285287705193779071595476814921728, -702946970477369530406539635015954682556, 323201329237736081979309726697375760384, -333226857162412121553692095473632812500, -245242376413430406856586501769545121792, -354231816529895534819389874557585227456, -2274954283807401348328880220919127506944, 383551186563154149760299279564941612440, 110586199072368694272655360000000000000, -1128416974289816415507797388569466885600, -60061036772468892300510928426315087872, 497568373325247642436453236010469347284, -754101892840727011316728800039734870016, 840657756915066838034124309448242187500, 137916619798118318423745070732133040128, -129523934751339191511000273861475663452, -405890980792396971662615313296752902144, 225745163748754606306003916143821587592, 70079505443572998046875000000000000000, -1925542348206806421572786629840146404216, -144238255608617776525338051194061324288, -2680127115557328047585522712930203944512, -932807387199713135350826715408986603520, 708526944179204016488253328486328125000, 428491518573277695120636809756131983360, -484922389557816461717403618209359157468, -117711494665577380894281442924664258560, -425188548682312760366041859400031054464, -299885172894192344498176000000000000000, -543369013456150011304651816466718293196, -425939164959562183454880872526210465792, -225054559682342216723062645360177445800, 57297549299039064885589523127815110656, 33027272143164738918493522163085937500, 463057600225374820127165390822183436288, 1210247134907637302115353904846100782480, -95387279939951245330325269119076663296, -1183704686929609622920661429913863704700, -27232969938526271281971840000000000000, -1847233014061867495567147313783728959096, 541110684757014569977691096875402264576, -1069068206057384039192463726165486556716, 2482122121617785421780304632339024347136, 50030246847389395153522491455078125000, 659620468888189319134562093486934327296, -719780398305868261239528566660468122896, 37221408584935513104891309728928399360, -1787589013231825204248805098930942142800, 357302030221180537824215040000000000000, 901015970367462386409439465618370475648, 1641179374638509801788519499931201896448, 6730957411403799305463068287513854565200, -559235993152170661673185782376100265984, 1004753810351058619694783158823242187500, -186296764740547644952987422875809480704, 1469212901571422049059886403355820697852, -1692774535740778942391794612370461949952, 752938025205560711199962491512913993128, -141976359945505888531496800000000000000, 43037895634080825253667130914231851224, -436900636340561731221945180760578195456, 2132608854879196532134255615808667581768, 768219501973641555375696116482808643584, 258113225167763252882283841201171875000, 102079672903929384663600656857295749120, 955679212912863397359349385589071326212, 1148754624011521046173364406873509068800, 1500102218840281893847045970959921830072, 109951162777600000000000000000000000000, -6255831653196343083207540477067188738060, 1790813481338765490104966409631238750208, 1184773334154587129863293221827769212608, 577588901965683603466689844523644747776, -60625997683960860715065457060546875000, 3516016586147914477402340906265908740096, -4226311379080791215036309096154090525240, -156169645391691058902410897591063543808, -2778751203170785806829855296928294083180, -3212950312479756107058802020000000000000, 1634235362165657022181543488923484450304, 547291596438515524236398611548057108480, -2229119338332527174631561775847694018192, 167004281013587233265542470106627964928, 1246787143360114805756774425190429687500, 185657827969638757204926128553222733824, 1015584368321106218871368696818137789200, -1022231477007242506546057128043576852480, -762857342681536076529263359584372245352, 96907875912554843075051520000000000000, -1664592000511887925760293891789559255196, 4276240209197576734002156175655796277248, 4368534994618511367965878045212433229524, -370809741393618613623701807351996612608, 73833290568616472911834716796875000000, -332479585884969201640295250416013803520, -1740345670547088171488960266309147833588, -833533541360312024444528805686173237248, -3150605611258428791797807076662030791500, -1136376067931673382111692840000000000000, 9034973733829096881298350162771648356904, -314047190992457898862774366740125057024, 3206745538447357670123363829833905133796, 2059957972515440352252949722364023275520, -1627924168636955505083274951870117187500, 1743031204405451516293712340203234918400, -16024738710521654983274167742603179554720, -3047683297822034421968158136333263503360, -2871747906859702047281474113170733100640, -313402494444917763719823360000000000000, 3240343116718503822346647852246832677182, -2274706560447170490448822536043104796672, 4260023700796371875464142545335774105528, -2609039756776156364070451130034588483584, -617572533227252407187535353239746093750, 4753654352966199301190281966350597193728, 1332095925263817563225370070613537667436, -1525122427228452341913734970861856751616, -2982308100747344582895507241426545980472, -615785468869237646484375000000000000000, 1985568545362071047401390344239178001224, 3637523727121615513845876989200057761792, -2758727173007078353265987581972649130956, -954566088857878037297412957739451482112, -7245156960246261178500325718994140625000, -788773983930359663934114599530213146624, 1360929029171035427682724615429224654852, -1957236694820786621783734424991257591808, -2254511850047249847284002462710091435640, 320984659440722989861765120000000000000, -4175703568543963320101897598540368601072, -2056016784576554411275571379309870907392, -774354882787632294317821837316857209036, -3439372038592687157485235429084516843520, 1241176955706141844355773806049804687500, -6353159395994361371106518625904550182912, 8040369555305532681036912947851987342332, -1529139487435021330383513196466708414464, 707796595157178529485458485302072572160, -5146171279530549573655292400000000000000, 2318848147423855816337742793467015501944, 2554460036507467871901614029785792512000, 17804319239265919366221447291548994852324, -10349548231871668171546046091325508812800, 104018984544381964951753616333007812500, 8554619182664641225309843889281283653632, -1592297892410561579811999466990496993948, 2656734106552770924069933917689856000000, -798156125662399363149795002634932951352, -933768115240271483523563520000000000000, -8611517337681388652831580956973308427876, -7152984835468840777975151655312579280896, 15115052159507221649092656811557571602484, 3553347522997576672906052824447221497856, 2658389535255207759391430869042968750000, -8194976991131171550452585743621967020032, 3857436248076624385470001184820643024572, 5001846307098984323959430433640821030912, -621221475722627109669134952848428550968, -1392177603483478638091120200000000000000, 10652067123473248860040023055587037339104, -4629104967759143302041996564868276158464, -2455896560545115380234524819706161109200, 8961985329624514597110628434659765452800, -83167640746151282232666593701171875000, -141583305061899243355341738524576579584, 12060857127363775829899757419300613030736, -15325941892868943451889310716509289349120, -27174663829173655902107288890882929878160, 1550386964219400000000000000000000000000, 12501520930872059023602932683433439971304, 9838922670358892771965216806611093815296, 3926020434270765782191704558599079409968, -881158602158857084036146283020212502528, -337903616988512274919369446831054687500, 8941523330423300905207352249425008132096, 26263032640646032367315614137882718351852, 5138571795683799557746883947509326020608, 18807385074646427083411905181282130049948, 851807673789840784939446160000000000000, -23489951074444076500348749622940155410456, -7098760508280209464733315731571500646400, 14548028994657740240576754602728896888768, -4867634578247442943513998480464699293696, 8608136073011431904507327917177734375000, 14456908580674568163614036768789522022400, 46770188566772552869009672497006043584, 12170544846533819619926584033863088865280, 7206273280834438821164429541106165587040, 4460932839964341962633379840000000000000, -10458066957308431567949850058031870878536, -2274157017514658922514901002573899005952, -15510975498292156533356748992771050334352, 604014591132723756104206440890810499072, -2011551242910512778919935226440429687500, -5900119702225205796598989696340072824832, -47567317328865193327713006983744726426652, -1770791502268895702918526084174745436160, 1071894198754056416145535223650094260140, 13717033522711554020438212320000000000000, -27237417476254184405460412953442770591000, -5907226403128802426154831161840898146304, -26635635180725433087085247385834672548592, -6768148447305780582086538970986628939776, 7383113930562048547701402881953125000000, 13165908163186163892203034365346441068544, 18216001134429559892496180974807032782772, 828810532026725489494968663383171989504, 9666579773732974206448234125002031577608, 2623678585380144368634101760000000000000, -20391017962258687085707204510085960284116, 28279631868347965530060927913562947780608, -20175715028608525428012147947408109625032, -1548001971598672245466072349256355676160, -7794215317940646766521909917285156250000, -15962060595510901159728543098492353511424, -5823271329306741507436239524185946185908, -3706501773468196432203081183611175567360, -27495393017242758606970844766897438616792, 5454879517750529785156250000000000000000, 2070193450879142030919330283756532673384, 74572534025427905968442481168818896896, -24820874627251123911923038001236598805036, 17320427382201714427980030324195154231296, -1042236350240983754439903771123046875000, -16116405270736285532881280753923900047360, 11396423568585562511583439897648493143680, 13449263969239639182991456211944146862080, 8966263388486780304811743699817405227192, 1735084514438335560595537920000000000000, 48447738847621743489581282704115687650146, -11021317657636330059650325460340318339072, -62577574603949410687257209053230847093956, -20472102299819388416848538643717007867904, -9842746017184519041214863989360351562500, -8062999485443925120208522410149546164224, 18304041942391283720372686646795463238732, -858686786934047717361280125862770900992, 17608804225028459156165580450357616288800, -11998426432695656678962442920000000000000, -16281460192935759489510455357821461063216, -51968613568780953684202674608719741845504, 4124326288595130643940392268833420500080, 16570368910162520390735621273727091441664, -6499286068377487714755535125732421875000, 1027105503603730716182156709247754174464, -47579664295384762139740815481366712459868, 18893185478030096559934454418342096470016, 47373880820195459578610467227423896879040, 10172443456252415884104007680000000000000, 61702085324755220367118597852971495662100, 16776840897174779438395377327074990358528, -51416516246414951106706134559255127899836, 32919772232507802526451535716136291139584, 30791389431047335936305800939780273437500, -3015251501354591018286130678969013698560, 4553243612141349915053434879206380248464, -3397322619185424423366336539315824230400, 42950801767746514922351484230755995479208, 7947176279059235298008301120000000000000, 40647871169909376380300523424497749008264, 1238688914954290009662341454121410756608, -55668525799709003594500296910116893158752, 7277036691515805363929217920055124819968, -1856818433296746382686263256933593750000, -3514171455864109161144054185564703817728, 89000111153992090091672079456236905765252, 24149258572822760807586817999611860418560, 129184216613608110481716966853023588326640, -2000000000000000000000000000000000000000, -6737049563665434650210712828212084994432, 29115486440144101546759640425508564041728, 20403226290201754304350688399677369207440, 26602836400014481971291621438889452896256, -10506280922812649868623154261943359375000, -65974515667525459258484910999915612045312, -48779184685333613206177670600389426191600, -9039626881380311849590323038834179178496, 83176583444607713792294364973070822948260, 2840709301230000326584757160000000000000, -26434716748375396726031890950498710755416, -50605203183806784855250185769703983546368, 44081080681495770289748675571914872152564, 48180418435351135344615860031914564222976, -9955176145713549417203441617822265625000, 12700276449026253741450487372876083101696, -11647570397560666717919773054727246860332, -7353259980430367215053421924199430389760, -80902232176225833373643539321163037165960, -3377096217621124327796244480000000000000, 22712063063291814231229764182855348203564, 16500222983091214661693077895979402723328, -39665748487760661221999171232562791108864, 2722258935367507707706996859454145691648, -1762743994050740058356523513793945312500, -218780381326213516886332771644493509427200, 171339189157934344217634099809122916960, 22511564649615321189765904512530931253248, -58384720934952878944571001139859382973680, 6744989903265716086456483160000000000000, -1110748099006221928363385702062466689176, -33903973429008170650097241561961171255296, -86839090558405471627843608969579123566876, -55178799287802055810449118965484475645952, 15161886792344594586111794445717773437500, 9302247332071454984572285937687302504448, 19850393551307354367603362978879194096584, 68464580109393295370234198955751897890816, 17783493485060672677338198981162520439200, 5712485126286226638745108480000000000000, 47772886712814074603583006764452064029944, -73098808284624795717401713220414982684672, 10820348672143461281348154445224804406200, -151766433965090896552404320250527943229440, -31705552908632880940671608917968750000000, 12720111834734466815680439230474378969088, -193381787815468020473411174538069784499880, 21316629518894437472239331625139754237952, 60596362125942755988282501942545955684660, 5700758164401445605468750000000000000000, 90624361111410276559555753821378752542864, -41168758998336489670922512740410839793664, 85205389257403195255450718891586177660804, 34677130873251790006698866941390554267648, 47458156710056871162495574572578125000000, 1828023732541639468233955956028883337216, 11980550804083765961948135943182454424784, 114015437061586920091226545785472913195008, -82694099691624130975759612088755349724312, 27741815342386914233679544320000000000000, 27290533390886548492277506583208352401564, 93213184324431527332458630906379900354560, -58537201740688979963485296898395569867276, -11901291594805576204990260325505407385600, -66166171147808481943609458343417968750000, -156574116170345526993647222077701717295104, 60684973570917734865000228313725102293184, 82698125068087581612103698557551415132160, -131949883028339220690666386395224460339820, 14347715185619739057694725480000000000000, 30089812832976908561339107140507468595224, -17894526913023673194029969281261437452288, 153230778152904947035112401500799792509720, -19904155632124576445655496262447229173760, -5838676942234505802148580551147460937500, 128024382003833203140235738921453297336320, 189079396266007952048363599962792431241120, -89941025268237304094445354009135669313536, -133270973659581241166854671891657398203032, 62561812930520084728145510400000000000000, 180830556154900651412188027207229108936184, 211862815608644572408259409327416431443968, -344525705697070292315528775880089603058716, 1293421205869608348073381238549455568896, 27814885241878461427104652038300781250000, 80029742872244809040260159046840246009856, -100433334062825729919321479667357765875348, -15246109750467007287478490839259610611712, -370731509564189990402962882300613693115798, -46465357381884457425287365000000000000000, -167865042392361003687271299628233673720896, 14905170357972285921779517055363524329472, 147737176052123329761957718994982296820004, 84667441988061956100412292502085104533504, -155607616446370979707532458438095703125000, 7578804305567542576441546382721706622976, -105502071452864201046639860674197437792988, 265503033635560840257222346465604181590016, 49139846990636270129312396199554270664632, 16985143069910400000000000000000000000000, 817698449393649217089483330822105157944, -175653135142559408401566568209666962227200, 159129733170474713301175513173859849025364, 32944687594448399666892642550116230627328, -64635014914485085189991019878056640625000, -6346957412556953444535581215530977853440, 693806163578427638938308679970937860708880, -29106100473733039075263960275516917809152, -14713445797922962300872596686789590868500, -90983054307780263551820652240000000000000, -125951540825429089580654746349978754493632, -5995770266498770412379444175419536834560, -10251239679300259270677529443272575353552, -152583580575345497587782322169756238053376, 84202928842553652467213333963959960937500, 425472219640012365146522917155053399703552, 72762059466062739686826181228315519393492, 217303598225238917307649985985516518834176, 169411415377284316618950261469302152023848, 2575385316265951466545479680000000000000, 2861228124954923903518838415942832144800, -30099931130042956942510469974782932680704, -201364183689368741439287260531265868566156, 18981672424025722496281148630735819636736, -28201374593107175314798951148986816406250, -9645802624467285061167911292886406234112, 420744537691399417043161259669627342532612, -55451498893228621693115551800582217924608, -352845470095673875245810166405356650075300, 16028181601702400876750221560000000000000, 222340204831736453988967351328010973376880, 2173958963895279108987673415398652379136, 147920292791244313632777566266164134789568, -176189516238445025737412840549174571073536, -93470076457084352255094635393276367187500, -10874456577447548455986411245861439799296, -145236904004151973596329179694644349217360, -323242356369872363943708403922930025922560, 103113337350821162233848483410752967252472, 129125701428714991647817728000000000000000, 27592355092234107628745107303373934729464, -135069889950693905719994415835613777231872, 168131616167801230929905200524356548340124, -133787400940931604921256474737098040016896, -262969635162782072504597395323608398437500, -5117857804710326900785900078121963618304, -411480514149989858146064787948012314240176, 66964236517739654865192199572194838183936, -537140691110926203047174248768301421679992, -81143895658248620068359375000000000000000, 432076693681838602647303819381294471481704, 38385721987866109972111020884381675814912, 63158864797686391263626873819563423490644, 190524107135860587645056629790020884660224, -10986961408575075549455622256406250000000, -118040227021534794820202427524131393110016, -611193144782624844123355133602117499715960, -365909024342180759117532679932269135069184, 224776060628182992456824736328275806018000, 32210509785161697489793843200000000000000, -610222841380351327289202125483189199840720, 3098335208471649509373911940900649893888, 632442935473959855430054521715829584780164, -310677908270857721561759178926089687793664, 107451822316375954435986044006147460937500, -423775780117704628658277694226237936369664, -163717646305503281558340125353128863918040, -55946413328708135614177504994213563990016, 74819533295258598873502144620099673847112, -239486474368935230671978103880000000000000, 93337192748669681902685836331854777048624, -243366325936418587563761956004828308045824, -4108706485698745018390403659979878618032, -277529907310716138169009479826446886404096, -47724435451166652794820070266723632812500, 150072034974648072672073142303505782931456, 127539365741892364005550178504832282698304, 343978217797938790007332224275676351692800, -21275211771625084346610035856521435606112, 28157991830060786841678643200000000000000, -482741948765566746486612379760544447300876, 433241149004446168474578290045185144455168, 104917382396891660019913075140179436432804, -49803596493463914194432402734879244025856, 67420874501625738634230968884570312500000, 318217095919162759594602455311876430266368, -247634492470046826678306730607404297382148, -194315608671960009985719320865456972103680, 1193065888887059164039645984767087946126440, -1356466491878161941139159920000000000000, -315711009920491127059524483621418954552056, -378598596078881201875655625652702701158400, 606299321546416052058832483797512245284564, 842293936616857452068173216380583111557120, 293155704107198935760266626929003906250000, 424577356713642286564822493755566018527232, -587899846646710999554842624163101640253200, -363726086860741765308106568002320830300160, 270135340574987260470102500888535275390400, -31561003460198400000000000000000000000000, -69837309331826557970030600884145827404836, -11790141974945459011396762566084385472512, 412749616446650668916165342719098998847528, -72795396525663977783723684223259544387584, 372385371516782259584006872386762695312500, -223947280470323707343179826202991553052672, -129778427130350976606465719648325835160976, -319092168178741942852401791134536772354048, -451848761018251883685392957422879180791264, 15619421663978714011341801340000000000000, 129807694958226030332560907231498072732664, -254967168758969524933912874885064664547328, -180966757984910033683332167235248974715036, 617917738889577989804532726060149725036544, 945303573985819706362284243527387695312500, 135056275290022141016484762264754821529600, 631341573909115804884011456883180771025092, -316575929208572504086746081790691355525120, 1551021494386830375395162899939590426069288, -18682940273788166745037537280000000000000, 152134351699463772256304083107283076811648, 634951915638969549182448357749855351144448, 877145298548174087216703386074850079604644, -14874161051702068101283377292593623728128, -185035668550925327219447493553161621093750, -371381384766654476135457991814834963709952, -140709660881605771501535320545285372511080, -424453299674472511674107982211976089567232, -163813362212509223896406310259939260732900, -598807168580748157663975429680000000000000, -111530152382183194592599318905150314929736, 12264639326733883470553341985338911883264, -2500541347950563610306565210718697369475356, 1007088852182523382474306159300108685574144, 61796938447249420703271180888183593750000, 710590921670363141293469141570140841705472, 37764600367529626879547479670318848204132, -586097267842353169105206965387226054983680, 123663857405611217706112938498136019270880, -22531620105915681227312988160000000000000, -72792967463005707825827130050392402731096, 1776281723782925999133345512300969178562560, -139888163320020833595109770350908392846912, -247922777614240805095009772572582298517504, 63922406404601300185168914787294921875000, 183105541062866423349257032101860220272640, -1351836188114180181266850908782248327372360, -160914529016283037063362075025351045545984, 149050149232922321211738675579888926427940, 36379788070917129516601562500000000000000, -1146537430155380067752221666415386780038840, 39409395819839993304081370602565581930496, -40264703788095768557586697775973477269040, -44153556735680823624705423926635423334400, -483902775158903422767100372564335937500000, -452500888589611360643238610228467365576704, 926882610048777254908142097869049669547440, 88230690978843792601909667086907765489664, -1335162016682487533381742807063140702110200, 164429855092390641395292241920000000000000, 1306998384718378774344474404722018231784, 145689810535427667120841694628584983298048, -1449551898390503956256525345761947710084952, 63940468174599973337112271590905903841280, 920503283556295807197787976651015625000000, 167875757553383198699058024503935427936256, 168012375018259682481450121520078167554824, 137707858776665438950174155308089850462208, -477720241037798333914562621441683350818160, -231016682828817533690207480920000000000000, -3767538863328076696430293175951150624446032, -116243862468493551557671579628159952224256, -868130104461819498423222610290144221496400, 582328626687229636218392099584651325374464, 61429022346076168610966205596923828125000, 340996909109806331754303548226218502389760, -2235825392706760322546816620939275512466588, -2022857309525408823970832700024028732391424, -1270950132155344514302596680187220834566080, -49517601571415210995964968960000000000000, 498218301734683030330300991507231095153008, 1334133918275008229886169909256947393855488, -126607917425943797326278143523479970927276, 960656188159705436315610682578758654754816, -409482975548877606156855190648110351562500, 556568178229684306644791848121987646783488, 1928407968121616532283905025034737389552576, 27303522057845068583688450874995231424512, 2196856264912880133014705887272646387192980, 616709684054661386655375127920000000000000, 1969239370706762905624140752054730212688304, -617823384151075927447215072716569706496000, -169385448853306203358797154127993830763472, 36031086342724888107209428434929799757824, -169206893262006906017127874978310546875000, 1446984183004374828777349256297970445320192, 607109881533830833993743306943416731245492, -796703046387023671672289767194872370954240, 1746781045859583958632814117497696172928808, -103909499126279600000000000000000000000000, -1943487844693300998569573941241917217400156, 787465465289892975436319529678716686565376, -379050760249326521873646352762698088439036, -561503011424693821534973584908442044203008, 2760615351964423035540754794974926757812500, 144322526963113860668083486864901079072768, -1895204870175213124516838642076018626893668, -1099722457083401217281627704347337320038400, -129219910920655896038443371850767661996416, -387747232141817903034085823040000000000000, 2859194408925087485305394286804870697984800, -43643427384904825628394347761771732795392, 1691033760631454026041898338049034113446168, -4574596371626379742617826402468308369506304, 748855363751072030407567813024995117187500, -138158039692074026972066481254455031365632, 1713499938543764585562732958601555758341600, -790443063476460279337915954804993676083200, -1739344794971796279798260376448343866191840, -33251557989235870413430456320000000000000, -38185919033507488475554201749338662793396, -1192509339410697932074381131098050473459712, 5575383588921929286691931296298353741243320, 1823437689956569829126023261468055333502976, -504620681429276632728570699691772460937500, 715509040930805596864255927235867848605696, -696712256108345312758170009015875031515108, 511778283608983369282846160794142443044864, 4908428636308974019332274898545203946163688, 216483232994607100499529412000000000000000, -621261045304661668807147110969909428530752, -2571931413955885373811503619688866527576064, 4586722121266315287552668177042857810792208, -82696898224855410455884242762672953425920, -1504270131919612715357356111008837890625000, 733151867926081730389195114399203575463936, -1063445401621491922953313741753796016816, 1675954217208397311379008764045337220939776, -2759941349944404358862739145961809356126232, 325499548362562076254652661760000000000000, -2867602318212714182064119686734954408275100, -1057952458573109959015138286927151163244544, -272257757099184034932755693075570571810720, 141143935719911558331613486838902639558656, -2328749942604794398725711997421118164062500, -872185660897589720713343190591281269276672, 3463480177365347912405641568876342353685880, -252152107748198808783221477973496841633792, -1834055173351511843788903223599286914308000, -1137992747872341801269531250000000000000000, -664553386927981943546847881418174655207336, 278129943051650720051520044375318684762112, 1759410263240220831527993873166692495991936, 2688216751392166808482115228803786190782464, -23527194677983213261056903112138671875000, 241840039218043467054939901033320705687552, 2403133485859368661059857046778306663672080, -531108268689212494668694580842501801312256, -3213806074936396713025321728544288093297512, 277325120813966482955556618240000000000000, -1976154869957902954895242872130209764989596, -3763305215480184357993685139180082395676672, -2824958699665708887970028489305440515729880, -1786129527086112531243064384270190895955968, -271123469391973884226527244306699218750000, -1076606871751427177652499879805505657864192, 531103715229555839690954598739744760086332, 3262928618640581734478204610903017521152000, -1697224581218621763472481057692811048157234, -137857647233750732565414116520000000000000, 4239520091468019729133509155455658931816264, 468902692434438894859229658622983604797440, 2606879703558046682768157944736953362092564, -3241622285036067989766375491920429306675200, -308957952618773560971021652221679687500000, -144558639264888561813592028084543476989952, -5236262906649973107215172881569304549023548, 4293619034224773125949305220733095084097536, 612691744239976466872985817539447328646872, -599260376374302716920149442560000000000000, 4133666326680095289707456289783994770283204, 242564008258442334136061447704121052889088, 765378555196234012595463062679533442728568, -558976407521902702923105769698870750609408, 529436883402614313586381472769370117187500, -420535382321913452830707803281113346473984, -5397030429223921604005329503998320127135600, 1355347280649909597176824862613506126512128, 2899313702887078190215905661452356968950888, 109062425808565793202059361200000000000000, -3034693035688845162018428133252539332912296, 2317629505687853166939993437405692601303040, 1752824571678899465714022331491392886776480, -1593623063029947631868715009567777820311552, -7739294590283177333667898295153525390625000, 3428209467536036486108303907681318511575040, 2015001939604276528991263047086989456939584, -2314588649709890381276961073655032879448064, -5745911115951732010954230380278060839086720, -46845986003353600000000000000000000000000, 7346324194908306467979056927659639173161784, 892317433921746848822239278385695704383488, 1992869176795819444119705368968061648842248, -1857647542934765770415522506392011569889280, -345274610008813806348937735142241210937500, -3765502869534323717719317721311865585664000, -877493791559313868120437479317681247825136, 420531773584653702019951693794235322990592, -2549691605884078697813368042712576840201820, 1008656888975176510814263598160000000000000, -3710492843336405154768414951873357060398616, 53672658178116318594588008557885161209856, -13513148606864525246405202098579126091717276, -551325302498791389521665730507393608384512, -39544083190690418796069451043852539062500, -1197232212038097970425666726284168748072960, -527355309814508153871887236036653042566200, 1290204497726741830306661024496070392381440, -2317647933329277442336094042821583880211584, 197805212836966319737010257920000000000000, 2592165407761296972604052679501951739474860, 1743247424459294391004135426234508395806720, -5877921180934466294745792503013754203887036, 626981053628174452854985182623037306961920, -2348782826242586300355792045593261718750000, 3557091374222742651900972805114494081171456, -108794212160151192549077583284664403664868, -435767790531906831455204953844396341592064, -5251605355479022598358212605259537757520220, 2433578646394955374876307809920000000000000, 4512925248026542992346308038217420778482480, 37455375587365019457449506407003224801280, 7382842100697965400716969878979757066138084, 5536141186487220110123990321886125551779840, -1218072366423069158648871954432158203125000, -5611937853413037237206730923180398749941760, 7178593176881994144797258802859210001165280, 2235925599898768881981731249500701227089920, 49095589538935673201018811252018283839360, -698232215433856435485923082240000000000000, 4852901699958249124866923935553643639057408, 1403115573094140457895823264118938519666688, 4678972261151843004736334255554133016640848, 3131317863293008446265792426116662698180608, 2147139221443190669018848484922844238281250, 2495166557450582203413417553714946038235136, 4602888686618505306701149122415909208578252, 152178260355660668309156953963206092521472, 4464658225089385461454441339604319982192728, -585905759820192497314453125000000000000000, 14909292457337242205184904817572958609044944, 5363861969965860101411522568098679386800128, -13809801752200790388462021448649295341958956, 2926803504192752372094974169526074133151744, 5651198230604817973685552331991669921875000, -383620072227125597135111779521950736449536, 11025695852106882473639046720460910268615984, 21062475061387170159610642594183354694320128, -3479667984547905463228291308172608709627160, 1017659330113167663770173112320000000000000, 809042674256689148044903474039689155402424, 3091424224376456403947728378933094117081088, 197518057187073375053004819477378081542400, -3876759841076880947438154510146067838795776, 4426807680582325475620781726408100585937500, -5758541582150611193090372690050700759498752, -7468787554651377665254646713586699953632252, 2647665289115533983574505281104902229065728, 889849154027953583879241170077312387036488, -2729794413874480099767845646120000000000000, -1420871726141442611602832929856023045148936, -2009025547578821892969156622496113637720064, -11767921392491965469829277235554326026828352, -2901867041012904221240441852375738183319552, -512190887640113702976644039154052734375000, -18636425492950231845510186769769492536885248, -85879143772981325386281204671427181864576, 3142051320325358794836371698196001689108480, -7410300425993225504308550157079884173673360, 905922142800844343481592709120000000000000, -913612755705321230618226292948629144395316, -9243991853382176075839876207161072726835200, 10418652879554734213876300577628708411353524, -492020013240065165725785525668373199847424, 3534580331178585947522502844830468750000000, 4076080114280428686839424909397764892950528, -10601389805099024697617297633893633457353668, -6177602706151235676706642329925508055171072, -5710922522713749825781879546346194508205620, 6886668344648227537175546343000000000000000, -3877779691268528733708538954661195731199712, 1129812949386185264527319619437633864728576, -839022423749455575875317990601782592565276, -1061060073482970656858114243473208634998784, -7723017128476245244470601278509384765625000, -3325058914651315991860144646526999774363648, -5084909744152869788655209372215368144043440, 1849304381429797734858784081050186445553664, 5065354223151888681726697085986148874638520, 574091308593750000000000000000000000000000, 3755001812598429507843238205769798162699200, -15774042916510158205524268071650479343337472, -21125098280374127266066266696450195379985316, -1181599789945796825295569315381750368567296, 1324140549071016317315728596863837890625000, -21955601330645631365820602064324230713442304, 13808082090302209896018550868464168559373504, -7641558115940050004793972452630418256035840, 21337460795383873917214934979863807128602408, 5804252726716039303071771266960000000000000, -3294155801386398653391009044673975684683256, 3510202520152290878428256745522233207685120, -9640155257255334959402206393940409319839480, -3972484215257632454388970440371070217977856, 4637825782246537072458756936340517578125000, -964292564300409904285953580438849606123520, 17972011608832853896321863296533760224663224, -3483144590805506132918614912205054398169088, -836457819361619361967995130809463011368088, -2456659336349223686129057792000000000000000, -29333002913078473735192022369197493972702322, -4451278958232780892607707680495356257861632, -8118939056988554561761171103182779511573596, -3489293639348733406862384107734716135768064, 339840703851007979120141267776489257812500, -1843646952917747439395329190790573635993600, 9725318322985779713361618991812914225471640, 469381523857728019542749373463061386493952, 4220938030293613100270470266370313480088960, 270559413396805541220298933560000000000000, -2740097453156749202284495209039944842571936, 3793367861046270526481738881615326710071296, -9611369223272328930415919456256735267830352, 9914344529163364778928979188499257610076160, 7720760544079394306647518209719711914062500, -781412597268080601746024604623476025720832, -12428789521918962323436020277523486477567560, -9696908795327362030966058433854371468902400, 91256129950964871750647398253273178866917800, -223092489736407214341913313280000000000000, 13517137055844884892310258168185064197987384, -15132532851194818523686070794516307632914432, 147262256595101956900668194354943928913524, 4432778729529463357257245465603295351406592, -12925573567742742694344435978021298828125000, -8757806744022090049064662844747665872617472, 2062800412750995815920987474556161525139184, 20333544420292898175224255548121287451738112, -5147662132521272162474960215610493186178820, 409847782173813925097656250000000000000000, -6312487286034615090628232817924651028636032, 5403610881132046902350332669844966009208832, 3103300190838054308038960402328799524743044, -5896441022921672796074218018082554862764032, 4509689053779599000245248545481123046875000, 304917779127791723355269609299381447557120, -35942492724138414246531784738839147225777852, -14643929196395112073206211370442278033817600, 2116175212226229779260226594723048955655440, 2927018231571910965855969607680000000000000, 2687826189586225871275082361487882370612504, 7381122829250251869466128102345690936508416, 3596118563743009276945478627688958836303048, 13444541437038672296251551743436405935702016, -716852733964333188925254409742875976562500, 55140003114219923910353455411313496598118400, -16121605962439521952575515224543030220634788, -4581261255902582060426737929225013378940928, -27854928629041370112294450222982532825259192, 8230943214395872212539663637080000000000000, 34417014745337890470357166444789664907859824, -1526143096754566307454872968198631265927168, -25534488443180235311812992990058476391167068, 12035792089673089425898589416290883156803584, -2990961640396392638563925027847290039062500, -13867208996788461096073581464538824294006784, 19658498698331618061076942932609276969814800, 6168068302483953346150092730473791431704576, 15911353789154194360381707008175395880394120, -1163070340673584238850021785600000000000000, 21353359308949328089296691749698231227534368, 352566441034390120478041136449387325227008, 12466856681315925909925040671482840798764004, -3579090012901881702170174920790656577175552, -2504891358997437036126469234806606445312500, 17470331739170377991243822004704604829843456, 22550102218498423213416950042861510990172228, 6293254160168071621637702586227168408240128, -6905427524546055322554098387854186830946488, 2114463540574316567611669227120000000000000, -18675153699459440850762541536800163462010456, 836236680428989519164216580974966776791040, -17377490959931922931525172675909361320397600, 7828924112182176951167790166745672304328704, -6202697643126272519190089009975390625000000, 9410597879902380410252201221107786291609600, -18420848657470461320264406390537069289290668, 12288837376739589274395000594103679631949824, 19303283987896774183978099332017992220757936, 900719925474099200000000000000000000000000, -38602971092184856084950196534966068178367196, -51247772902984442537636171588134410142187520, -4287839699774676598010986785782777616275800, 14670344039127166894939884827699107841703936, -17474234267132586616128004290271904296875000, 9705663153394377767840098073213085389684736, -4236764839835254803304973807642334128717268, 4731608284902880079599123206337697773780992, -2831537636606095837346908515652976182105220, -496648173027007370977816224240000000000000, 11201496301515688706648690192142358101376920, 28803207873723715398879976704130324398866432, 16955564659939070497613223938709176099948964, -34621942817429841633577444115694309582766080, 11238141890336481582329999086442871093750000, -1279341735048733154528550073065992550875136, -3672072462994101757693930745245425088090176, -22763529856375077329550174592436585129410560, -2720888924546447855565000809909769734631960, -26320488959834162029025706147840000000000000, -6778548350953909378524194879717907819837956, 13387656086861062325711204261261184616890368, -56614297874434736048574329229926219679843912, 4483412758024319174544577425801683832668160, 1890102778384600242134183645248413085937500, -18260945619620062614581754067744309397028864, 7268062157091714456145245770845929722997292, 1368099070063306614911323915113496288690176, -46859782296685899629968337210339489471054532, 10213680278406060488759496091160000000000000, -5748054892017517829175467365153094635274856, 1520908926727280699022754845108000635486208, -12462300421466212091586869940490846358733072, 8319667145286502144994252364334184769126400, 20003834962761197262473209854712646484375000, -8374120259643330613625299992932981575516160, 68467976830843438866623000264804208652641252, -6249327351247143538927725441715177433923584, -70461218980453943035830350140905945334305600, 793869319475649274470822051840000000000000, -71415914014741624286871748781373379594436136, -13636337668193385887828327561540069418565632, 60459324655116953615732927675837364564995088, 35030959793746548604945663390972283103215616, 2513080102145504988076326867566513671875000, 35787038675914845126376472946380253016260608, -83507916465735644561922346213036065060504720, -3037673401496523682805365205827556250484736, -23158332193895089809368481836325379029504408, 604842316338106146093750000000000000000000, -12806921373199999400935385730785498321271016, -2723672767569667699837298691407985078435840, 152794881056903244752498682277170576294472800, -14256911733121746300837562501604539052752896, -33168138360571353207451889128934550781250000, -6828306770823676104249579976181131159535616, -2112102147903311481561274508115743315543468, -25809761167429048662407635572015356243968000, 4807109459501710684192264750844517822077760, -9309192748496268346258987745280000000000000, -55524007764488133476782246997240441687928192, 74014504827527961651596084533425343339757568, 25294484875012806514254073883084775506717044, -2572674588610215107483847612335104467140608, 46783159886324672221444482050880952148437500, 26269659450960754033650596493999350856056832, -3423431588296788177642286074985907401908708, 16875175710846487365656164125606078673059840, -35841664962168203068199271822971986441256180, -13335954789473939497642188405720000000000000, 17620445415066126171264969023884119585400584, 14278911626489458821478091490944900451532800, 8742044751388306841096874433814250337395360, -131274659516593397622981982147405246912266240, -5920802293304624549903613328933715820312500, -24966621575758105984763151452842094619525120, -12216163752891547654480062558858999449017584, -23525358852994679171329835935094645560442880, -198349344060471854392311390042759205855512, -2567393234492766320392792965120000000000000, 96052364579765507105074025907466216065813206, 26544890812157983312663739205606053291474944, 37281436144800816323808602965407590916401088, -18634396143183220657756754215265114494337024, 4586620120757266864224611308118198242187500, 34898114156923878403802255731390661472485376, 1753760852410784674994126940160428110247944, -21373253687510272934465135657243348857520128, -68792303800374382994035593376825227609862392, -5059154192197651719680289613740000000000000, -10502829191185781861211500250122531820270000, 38941936459499104675350789868344092211019776, 87285044504886163640269117055485647540153364, 10912529819761193477942231618466100571635712, -4399044686907354244884843884089072265625000, -12493802923855481584957316881300330509238272, -1669740754069259988063172123633413841837548, -24431067961322246823079995321766264672026624, 27194288845793992952974805559082656723632680, -5044514560976794800000000000000000000000000, 76171883818611178279539729966144204343179144, 16265777523606086020312189700007346186027008, -43790088840489735486304922972697297466617792, 29798594372580274289425424295526873184600064, 32489506831300105318279099888426406250000000, -22599493001273985869954970271519941680791552, 76727302809502687998285626940086452997913240, -7819805399923736881540406949801586541461504, -90575077427034583864576556924657832313466340, -59352325818337371574274668290000000000000000, -52658248138075578847585820667192170990802000, -6461636476357506366948266799351506097143808, 158651560046989585087320261497538166319218848, 11148730606969122223576880049596208372547584, -8529290288323661931994677772727001953125000, -16033683003971884005652352409528382192091136, 24719284259512188865737853534761537768466584, -18468961075587070748950548174521069040762880, 114632830257015575721839418106730183993688, 2629506330138402732947579863040000000000000, 133826187687001241790840790545522163106657844, -34207363633512147518274745127242699579981824, 115820739376969491372852249888047352661740964, -16842889499251133737169480739306462473355264, 10900482745897583607441437244415283203125000, -6343515199796283755051596491299694256422912, -35332440835147931493909816420014412998673216, -28175335740151293194119048635060361982115840, -19613771945134288742892087758491639861680800, 10167721621144713988962499019160000000000000, 38395597311861220215521221755534170193261384, -52045081771985808352104600583410075098415104, -59553624349494619083363054791241229584817356, 65866707397062923723054390868803480308383744, -24653623416268776003140826335102358398437500, -12526710681067694738501740105455275331289088, 183400562865617759042037897909517676097680148, 5798269707527606513544875911594578511134720, -31371164342369732004534911992931100807086088, -42157435121914262107384155340800000000000000, -17366364384345064188996554017431303760290356, 18996004023696226847438788964081790991925248, 11861841646340604647818264217987601715196208, 20926136619069176806618022132005212258304000, -62358766945836332272088910170738354492187500, 145852983208066411448086096212369365830238208, -105790459909622950658172787654952301490556948, -84783499115492705661305209580138568194457600, -39959488617259507440580580779129624296925824, 852123521387577056884765625000000000000000, -18363071834145214815793019976107009920824216, 70079440344388740917738241140992275690553344, -32655320053348494221699551771129815965062316, -13044104334627320461819899633586151374422016, 33790411961213353977937413335748925781250000, 21763965800880299409980898653715300352000000, -40845997860424579679722636755509603294682816, -6538494981426375582923120661585370737475584, 105202518351207617036640160134382478243320480, -7649428400048303993025032355840000000000000, 6626137882439377707763828006855589069936664, -70545550030285935843996311199525342641160192, -203176542069228360365094163435077110331921192, -58597251772160743653172442360320649469100032, -976299964861324380664664359899418945312500, 123822507290683159749367044600279626567548928, -396400633455880061897458229332676015825745600, 29109022908396148104446384737871638510436352, -138373030936711187889954361297951436076667560, 21777527072810661964934601679200000000000000, -15555056480878558942349237315614004537415552, -67133251511346557341307582411751153828102144, -165304137151862121218704547665845165104253996, 31600117744243706965770249706050707657293824, -3598055861165745586495363712310791015625000, 40975124947754879581875654112385605885231104, -10675980765595383342237222764468749564438508, -5089046329119761282409553533734326689529856, 109879985176022828267535694155367658555162088, -11404718927736657003242456678400000000000000, -198713536672289876077393468795234806511798296, 87261733875492854661447868871369009881939968, 132424464193596558679458354928338166852989844, -37921627895882901930328035859400918290137088, 7926569933841289302203312287827363281250000, -20118704623985585194881227323032871806566400, -47874108089241639880410216553277380911811668, 73416583820284023579530268136732798589337600, 183595223432799930007744413855760635092967100, -681309312992471304050004735600000000000000, -488583868047989513848979172044870820137397840, -1159850435067078601566959521993331339952128, -88915563735517845773918123281973336228884032, 98802541587364051598538812778910621947789312, 102080554887161947357648949458605761718750000, -125550115986382384757877233389644098347991040, 101368213688731519367328780513403707785523840, -222614846088590589150062910594112961561886720, -27461188639225017679476101204663755130031528, 12700770010885324800000000000000000000000000, 62613734849892257525380089836904179186280364, 102412459465703907521355224542686740244922368, 176375331600832992086190793893621559954994808, 80600454515580049587939056079758080534904832, -56958340124638351813078632878690090332031250, 32161959397546113287714443744043658526457856, -72352174386598575136483012795454065824961840, -7218451268885357232424110350501580820709376, 176969267561580829681544160063811316658343440, -2768106430369892556139474508440000000000000, 289626995307933569919097338630372043616943744, 73248959122827681015458629627289666618130432, 78094512194623133831640677324931257025998916, 215146763392172297153049511017535228738371584, -97568080854505025880126096455545473632812500, 42095180150241685977062473297996398760820736, -37964656881290022548598412406882225390190240, 154070098531503530667310327245063209369174016, -6804397244073646970450940118147257910500648, 6978008463686375710223942942720000000000000, -243474927976198977942725692862640010608935496, -192429679201845874690856956911125753122455552, -46213206180809599376203356431400956277113196, -58153046083831475935095322473033733295308800, -18511115378954267066913837194442749023437500, 119177453524236208050804773705555123312787456, 154774281322819304355071817343688928156730440, -39875662465003052593266675551966816613957632, 190216160958204264546935556357713357244389280, 70517850710109650161724030297520000000000000, 99533876292489337411794722272474895501528584, 118430995092886062396326189209923764407500800, 18245332470015519704411155825853029781771568, 383141384739000753102927237095473509040128, -48160751050373328027026314541306459960937500, 99701103382805050326438576405406423984373760, 265748401833399862786721966443138554901844544, 59033790716595722822979006800741708489031680, 231896012369565736542460819439494320911661768, 36543961824987889357892647649280000000000000, 5897608419710880964165065932182500786091704, -85672484514270671404645171675397086236966912, 316318166405174469097558435909207534783120400, -18629894287480085893242069013085380656758784, 338994604916483364750278028982747719726562500, -127065911282009346321258487748780444339011584, -128322686966226229383374199900551369432847348, 4948087530559273010005659163777519608397824, 8874793590392709818748655375795871854544034, -16478627781922920684912109375000000000000000, -344926829168309542898993382174420530185114296, -48333780600628885885738923592417876581023744, -95738853032977259928779457804135641434486200, -389671463558063663740624953210836798887133184, 8949791904161705419497330252277119140625000, -14506323986586793598308565681559514613022720, 323786973621829461163339464644926049174235120, 8780957276193230161064224552141572179066880, 204141309545175505607086684101568690818630048, 112369938618053050535429835325440000000000000, 280112096918326020773820406680824759693705404, -223128923965474278649531702914603176681472000, -759763103197426834091124432386858812804636956, -48391998694431149475060376877800637614522368, -20551177829223620656690757085700786132812500, -218199123400502747849402346584757637518065664, 122257764755472156505247542023985016044534972, -55444672080328954528452927250322464274644992, -74006910456452483883843553365897460809023760, 60482469319164301702769892408960000000000000, -250329622160586856347780762490773140758946616, 107855119672821054604927257520918045233512448, -19567019622923805414742028036811888269369036, 149225481293246954639328714545619212556468224, -10442660069998055405449122190475463867187500, 6789615878362935209942783290434944938016768, -445406604596709316980809077184517639781574508, 79188621506420524699223933952016642683764736, -173695842367718125976607573806696145558616160, 21493174971434142667850561617920000000000000, -60544195111640624021997652846685745189878400, -167043219146823164606113419346624186647478272, -50162854471587392626103472048126461669401320, 231666744265506533622259121467907668218740736, 138999132394747903250281023295072705078125000, -165279457514361040306275515985167234048262144, -122504385458808493585886892417640710890656176, -12681232151336323034858064685108065699102720, 221775041822858398991243469152479501086695340, -63850211884569778311347486042400000000000000, 431471791667215535791065174091527212016202448, -130761200398425302300496225062849359965585408, -606759072351972539570901285935075205368974032, -47704238729680826428917674182131271154958336, 17540379563805070652705645997027197265625000, -30363662528251465172607641056142750247813120, -37420846425294301527952176703556783495243056, -225242259597252678508305160330423817148760064, 32191164964634313117941443756372990128619968, 44686373009412340000000000000000000000000000, 103605005688690361132635365267385040354743444, 16959024749601931517291153684533515660361728, 49650849389740753887862794083771864431474368, 610898198736305405693480805734964403372032, 63469881558353034176659714061947236328125000, -203332604946441207086473527306130217410854912, 509008111215196456275725981411581208483370972, 141888941114996444594012408415806703462776832, -468403159197640220748426518524277857203601752, -8538000181174138916371691693040000000000000, 265231833854508917371931075356664051063864424, -132025591977871651085363451936144589187973120, -15731503837269166238904635947893100305206076, 93359501873852928094891539641536455833026560, -69000959429945769924993126216856157226562500, 110176370436011124187066009288246451094159360, 655318611472102184553294926371970641836898080, 73451629678483704257017804388904183621156864, 55707252622445618670018675960898517017801200, 14213812342278844912398646640640000000000000, 41076723467244304159595522919150779010022344, 396883876639717322666649867912115713229996032, -245586761726991877757821795210021003864492392, -90286634251356815848655466171107887833677824, 4058028748411874664123630523681640625000000, -512635491155553572350011056564067099393687552, -491792824113721573620220381098270829757239416, -167707462040120429910823228569329728453869568, 40819476606929113994623983310412971460531208, -80631775372775579985632165800840000000000000, 238967909522849789588627277300375423032953344, -66052091784756634584748215583945082177323008, -193785962696066824759231974742213100369475356, 149946711592069396237293049010548434851692544, -369865018370417568352863882830593637695312500, -7034362158563718900623606791067819220926464, 539317734675164827550126622986367968907527400, 144251324211433137407308435049329592637849600, 147722568760046627423552416418193257726236472, -98291109336642819514060332400640000000000000, -247225061672194952511101565234184146817575816, -133377721900529741738069650291273409029865472, 80331695482929196545412295654266989770847720, -425726882355453572580988310394632125198368768, -5546422091861890719069735665459692382812500, 33786480956171310235159693466283380736655360, -102057244939238241534788946687432563437021440, 135744462112051367040906209474372333090111488, -370752775769288330432697093192639469715863980, -53242151472148379359277343750000000000000000, 428742703385982431467690557521895369030204904, 8414048285521762026964227762157602197209088, -376724778420542721145986035992190765046553872, -389772609907791971448756760423356108471238656, -244554784095065266160446330894708916015625000, 154772975436022551018983050595058454282371072, -390873453946594125811432434916332372380681200, 388086831679041204867976947527056563233095680, -98478434216268176920796002538508368357863512, 83332656793619790922580030914560000000000000, -74529363448750937348136420113091492411657816, 505463482980394765247435553611542492463923200, 396005041106065889186278082261043393922305008, 137435880629655793159334931063398321017061376, 27760381212912148975281033348412734375000000, -421204101090631279466136654309418007755456512, 75065308722552047475724442042193776142764904, 269678774128703918296690980586588497015472128, -45944428675716429441936205572124321314372480, 252243062219139775990217121298680000000000000, 1678131271034057016180147868291024645831746480, -24700940299096809621799982522114160218603520, 306554051197619201301642941545589013649140084, 37300171670661938504117738530458666995417088, 21156126252637190897985816001892089843750000, -27830866896366996876217028930075232095436800, -44127615061677682221052953001830605547166800, 351852968081379450243903358818353114965671936, 544014411512967747536005880610423623463800760, 65103268078053255561284002775040000000000000, -49991423647357909580516810335072596204613096, 332987360623897611307421887893485559875698688, 1155873358246583431886588761132137722842376808, 10147339591305543759153901192162596918132736, -114473626311666005160763281059683657226562500, -456036563351216157446146432287677588756496384, -1022884141194502531007130702392454466076721908, 59613484576897477541308153201091582525177856, -585867906104237690346635804213819369665829112, -15211056605566946366965868600800000000000000, 261023658683472262011039178767956950904916288, -28788092566438782248092091888146053674827776, -992245404627640463501228318463067951984425596, 729088910573503202030977674905492732028944384, -171177778245735324349010647367463867187500000, 197830726228564056535751213052820360548843520, 340960570743193549572425385779082317608132932, 1058277102498677641066225392459969235571834880, -315220194522581965351855214315973436483497680, -16384000000000000000000000000000000000000000, -1111979247838343542928841928876543243712501520, -55189910025547240654526159488713400274386944, 464223242890344837190502756089075725793927284, 238514064917660479871054974365766156629835776, -266852003535444362477208138947373442382812500, 167143229769332771261240839370157008547348480, -734039636325492746921834947610101851570514572, 217930435788918636308820962827382398126129152, 18319480854305965692169321946673930367503612, -86067453319681227723760879713840000000000000, -196532163882515433610724406802651156461013856, -540463232348368562245508390911308693875195904, -198458229257629219316630159556662819011711104, -399599080942252959385007477558390179361587200, -523927299104320180029025808910415878906250000, -74052623412267514671843926334129595830239232, 223076441771413007546535764817132703254979012, 681382571578226391386475437859396181592145920, -131075812933254880510239880578374000052092952, 23271090595676162675382330654720000000000000, 696791543862060228402134585051785882895095704, -216553199602691249979653250666485438508367872, 116209463121227645779175426100203723051277076, -414557824481745181534209521825415033211846656, 478766905140840427139222922921180725097656250, 361112212942813350213621150285126632673804288, 763060744323414343697420284042664696691068172, 394693987822396500743093125381444110114619392, -913266198046611676187579712046413955672662020, -81552802985685396825730593733200000000000000, -893484565009718438946961880861359504062512376, 104040664670423070649962392558600872769093632, -612457526431216826839935457232122345342016400, -95416896696816981753198780864325606279839744, -24885577114460950086346636728439921875000000, -60237905759685568225717632403041733752913920, 403645138332152949076629821836570932459257904, -662751085987642026996887874118967600463544320, -98306825433750790069471744098280202301400560, -27665172214752250493306834780160000000000000, -96352483208084579597435444807783300777781016, 186057220614486542182234228185951012483596288, 1907264407516340393894643120711795485770840284, 135169826677483230508589694123863267109502976, 152324360163098947189160753495034106445312500, -324941811611735336730617210737154384763813888, -1121209323822628125692372539486151619617701560, 22300745198530623141535718272648361505980416, -1575131807006100761095412775876518404755296472, -14440398799263662558056640625000000000000000, -53758905791771338928755325452205892119592936, -1792248883824341130332838065311690829227622400, 44328035183549742356421887541392078163331924, 1403610637581798147830858545636334935736320, -637209446608659138381802465864389580078125000, 184414737609648711186562289766653388826607616, -260248365806456895854310969995880190754713884, -478287633899133984313925641337728065320386560, 1047744090732090850957817572690541174977365840, 55254957287552746180251510046720000000000000, 1148585638623132489238847039975378430417787500, -9099248427058970037152855671295727117729792, -199542954667528622279277903824101701324941676, -277741350330434933965596602875585914923384832, 49543319029356420284553654553892285156250000, -711385829854457623575294844678792180259848192, 443357456175816244522371211827861617185717776, -452024723765674441199199182565248824491638784, -248302434085303698948356729243435343639445140, 124206176602886918849427820099320000000000000, 1183869577244621480380906286968908482205563600, 76204010144329359233616166401534382116438016, -375192115352912531626272010874627421542733792, 162614423972309846979406749522978358039216128, 169333229650806394534065252542495727539062500, 560861840256149875672958557845519547521564672, -18357533216694495984981979845758997161025616, 145682378629617030572754526053683367437926400, 45361804107082994312026184657303951070478080, 46796678154536768624599928668160000000000000, -598658540267310056128603042681531022176695996, 391355487951372899152551991414391308533301248, 332096255456334879328884093878650778321695924, -598825437467646326516954834701639538152833024, -306957658010041766204379457587603222656250000, 88640296322199234816804081215281597695590400, -120822922810639735300169769129652134693739428, -1243270627042024624557296191492324910935572480, -1348356677226166001581346446784651849211541580, -259731889427520560665981820256000000000000000, -936963289715885545281819371049118714273591632, 104203156150144752154054158176046112514768896, 273905800412772384476991492319162812633288048, -1584183605784314023718184341815867674623016960, 454140200886433485443615635683128759765625000, 174625829018783231772584604673144866717302784, 1619879077774028347651103290007115055162120308, 496405398535723057056010255913336468968734720, 669974994289043517662644439631274628042886600, 46700610882776642400000000000000000000000000, 104032348335796448722772645597401077530452608, 742394766224672985575880735304734740831141888, -1338774155543859592454767579052552682691203192, -337254473714372523384197224369445599589695488, 338957691259260548718098183876738666992187500, 698002548796646975532652289159873967397306368, 311713524251956442816594433017629117816526772, 284075056113678663734877117983871420560572416, 2759137369314265010644286760376484059792768800, 388777219768785888563163746898560000000000000, -53197535007960363114125953229032012817628696, 14975170416981110523772567191788612298473472, 1001656521194651989998357109162966386129030964, 98144672187054210760279129646550666647830528, -708349697733849182902318532221108256835937500, 934014460408520049387327863074594104893505536, 2302429960829692484880219959754654552883720440, -677430064673784880953422742231083824941563904, 563619269682180021557904511399145925045968168, 227260951284833601402302827069440000000000000, 238754701339557489584242486370498591066067408, 223564049538142605248737333929642822873612288, 98828006605038110520414695484960728070994368, 763602405985743071907501104385064143704555520, 91759185324495680106338113546371459960937500, -479536756659724123860871552191656508352724992, 433159109545134106784628508078882742638278840, -97495380744647280271280212586540297302835200, -954097195955546823696857409704707652725469460, -542033274042847084082048682749280000000000000, 727235853650942403458068909835095051941930064, -1282655159667470557131958043260532468081491968, -906132670902130386964591587881902499210232000, 497131303492958084014081870346036037985763328, 142241431602519458129616522452153486328125000, 677463040557773468566353498583461192762654720, 1960048023678594315038514820110731520740193892, -1080933441768154895897939037349678779103805440, 3136015879795025989649442072587939484059256096, 117536482800596902360635191132160000000000000, -1578986921054835196350893784422672218824175116, 246495746727746834934489965695037182732075008, -10973677988624710009171468907449091535108476, -146591964471489930805493508352093695609143296, 291650994840381536153515342621692656250000000, 1255266534628597326111640793094551900239626240, -353710957314192096497464520508389304405284400, -163054842938364530242809825381967701391441920, -246824842315923975108102033774206785401783448, -47830441510785071531201171875000000000000000, -2384073008201562345545669413469157868474528080, 1048775737375401600124811173244545411779133440, 145146625730160740372416038024261882261075684, 1548938414211137143180194610895195596727255040, 306370375242315890085037258164565400390625000, -736796878997399995141696340042839403016486912, 1300821741115758009198989201791794456445770720, -1091755816219289527638873472136457406079238144, -591833527985582084673571133232237616350748008, 512506371526820534092968021196800000000000000, 1548257155217765607080406668951858148703013884, 1481363916020946136368644318881620860405219328, -772311969098112859537362543184681975072342992, 1735580185466016337168461081210195406388985856, 946694522499197925792115721986375776367187500, -2822354581070399834648811732009694028257001472, -2288722649895688088556718264073862247236342336, 10595706518483831587417139106197140020396032, -423637673571690296582843191373153144469389892, 227859539901468356010841309497760000000000000, -3004274194873316283336061131197728318383646056, 655603653609429475657811222911715295312740352, -2721195119502065966599764228129873385074697512, -822749872642668379499081561434994818050850816, 766839277674339648135795056819915771484375000, -124896131075825723699023796955214730131144704, -490735609146297990181800460941112603619090256, -3037032526349844401381071931806627374004617216, -308881208253923636065824108783733359063497240, -380644207672397475227954094080000000000000000, -191207674252329443741993010218311466712813096, -1375150427278221342206126486554490255121580032, -666095395608836578967187627447948817521227760, 122103155572508966271217803717537991307034624, 1542202864866207267574376775521860839843750000, 1210262946218994317409957634006894975549472768, -9727272140431475529624041487174672330441322320, 693595684766203544374577500177081176338464768, 2554349049346302631082126012297606962607765760, -1274737593928671065764105899524880000000000000, 169727251914588192485361680802040302874896344, 62085564871209308786209147967256220655419392, 1052144307048786148585718956984426078027630608, -864272969341863534974073738643025410400157696, -395884231709356743703772711409606933593750000, 2175000851542514403387165462246229455585411072, -1466731647176863566703090994830416881767710520, 402553626547292324899327149666748585284665344, -186215211118103039884484919584041096387699032, 139142292028705996800000000000000000000000000, -3225488756101930685223227794273006253989459872, 6698585697432774386397047446094685453877248, -1889040650918906450194703545415942998419145916, -1438950483087846673625633326773591754565222400, 1065877800504690524633996435301390183105468750, 1303590774132528851363229803920259883215781888, 198697058427068827315455232327302761315565612, 269882880773721290071184527770552161299070976, -714580887630194959543278240619117949461614934, -529490042179461817876406434841040000000000000, -121512415964053399267864895495458628414159232, -51994275123666562617635481317629770575380480, 57447864042611846563833862411749506316637284, 5683660092034479218182624706321922954927144960, 1221146731247182421453682444039280268554687500, -238437175080821056104562362577034590692573184, 2030641635496261115079089247463242020415556080, -120532547976584907168748312058180328394752000, 57745931854922730292446724070193626381477112, -745333180889335919016514783150080000000000000, 1403248945338546200435476539578035261189187284, -1031795022441915101844723682099025956811833344, 5474307233769011239078966410259916916638149200, -49117350023157927218212406685036845748715520, 207450628799718415452706843614578247070312500, -83978155452827723945390321199288937296297984, -1246920758986403204838594721443051394459816896, -1249964692073230316239112783214643102133256192, -3949433785465053312434841749620764568963165752, 689790393078199521011411631832760000000000000, -3224491727624051137341259126349418318206271576, 3485468423290981295280315737334197450371497984, 248853243242445294277838253402642296805690240, 596066791145985963514480076622360734871486464, -1335439880136328130529914563098514892578125000, 1780151076661157210584268685193351322289569792, 1388430589621555175205797295935093766445875012, 1387818314770713121742440541956523229379362816, 2056395072461776651251415760144961413113168720, 21097556510850674413940569538560000000000000, -2893736928383368761514090999316758257821127120, 23439180799630736617626324303403680930201600, 4620108775608634028230125133777540420130003364, -246578635817311903273045770033421784520327168, 2283743305931827940328316497282577954101562500, -1649575392783308729870641238272129995293949952, -1082224367139480013416358595306268849733542576, 155497860497618718689535169582987834464141312, -1533184388741869701618330450395973530426169432, -231025660666733980178833007812500000000000000, -660280716653467338776942812739397645710646656, -79018415099635999221087529311325439869845504, 4414523861541193216217666537698317753099040848, 3446739252767944024417577039213587190027157504, -1466113726848198886508526922257407578125000000, -454258678933328868910002600350369529238388736, -2113588288233293154679725862909726205294914936, -2890510091023760386013676883192681677416857600, 11293596367779513045181421628069404532351192288, 131302863681146067982337815019520000000000000, 195029481480148254678642589698775464123458400, 1821410957981585031077620542079065893903400960, -6657964147932615494638677322707030108284505712, 17809071832230126460827020618945760289882112, -1332390804651871458471916951153428574218750000, 1211763038545873417279713822852416592196141056, -5225789146440861007324728918613158679338171108, -1443344517025341650840885989778838086234406912, -3629534516082794269905765651202222347902185580, -765706866336435013673735253141720000000000000, 6261180430924912839229321730694799538297248104, -89083548282450316951440680926096914835832832, 3003266328264243133107637725693288579842525364, -1189780717602012967701128640058526508788613120, -126929234532988188406742537021636962890625000, -2648001383381994405426859244936642772357611520, 4493345235873521148010873045638529509309817536, 844704459577926961019686776100888307732250624, 4290298370096737157574754552895155888995704328, 1057797746104033211578922827776000000000000000, 5591521919339200411821178139379107270048839564, 226036572915581809694679919029239273303769088, -4498419958650505291078425441530627641028165112, -1106492538476084475658194254525348063083495424, 725334074832117996143400442669495834960937500, 1377334199646627683777783402695528844002295808, -3437814946036244613555554932222877984257803908, -1095986388508111707514933041046307143818412032, 1457924099922039277516603741884741844535026800, -2154247251253510737957661862491000000000000000, -786323227638128877436860021354764501702104800, -41925491136186997971238093439975125961146368, -3013511661009208778801913844355554847314039916, -3370848371916716917932562742870116878255521792, -1813552505751523318875817065516574511718750000, 548571025553323252655654498895420114402803712, 3635263793352400736025881077605398735945342772, -4400256541580707455362451445909925246402494464, -2383303841788701202980360856246112773792952600, -664730793232372695600000000000000000000000000, -124965563436911806954214565047261875776851040, 3539572274641621832886712888371564310378119168, 2158596459467172016676547350544990628951372956, 314455834524599172891533483084854688275759104, 338875802981057602541878968860789985351562500, 517397420422646917231631350329863565235355648, 2666131652570023140477148312644270130949423400, 1560773485656969933988303911239851087136555008, -4484155995012352040860218913312454021262773340, -90005187859047018901140457524480000000000000, 833655812682487572043049118374393707271012824, -966985539760413039167098286277684372357251072, 7578140047094608087117239040252564650740234004, -5006894242059262723058525254468546557673144320, 879186347458542257040588512471329096679687500, -2997526727411144778690827714005148754486755328, -638043901140858251970971242079296560725391136, 1841365488666075074206308240001235402899456000, 4114643977881665977460462259047643453079666248, 263868496160044625836391163494400000000000000, -4918425061343235208018725536467588102101376512, -4998945516587838073153143811958285925095178240, 2830264374943135089617384296372301396020501848, 25381562027799752780791086619858123930730496, -2043997276233368220990629839897155761718750000, 5180972527402679135683006641896075958519103488, 748712078441954359931255189319172849881703920, -2545073424554866455033931193762526722405695488, -2526308356591500132395462498252673155464957848, 880245328415751818739597672498360000000000000, 2926703259594771418285161939644390964907452504, -3471571190724236317968610871101341174740287488, 2539272860011786266706084758200655978489665364, -1341174958534682882525922306892831653216583680, 1008532709971931663466474260536824008789062500, -458313017988777046951342120912597516206211072, 17272009645573217291635587179067608277019788000, 612921616754758441971729568727856528155541504, -3639697744662044895726990112551249242130447000, -1961873198030317409664844626984960000000000000, 5180211089977881973411593491672010958393443844, 764618282997102034146802371230554333582327808, 1460315049509606060540855629679617436952704256, -1993656942071141069322337943591553499511390208, -123502393368888719304646352437611220703125000, -33658523530844119190654186782555165638918144, -4164043347603622584314598341911119374396817428, -2273525000689386603880525658738252893422354432, -22596054658337256395049005096922659118450662580, -390958575215957219695166015625000000000000000, -3172372121595026815431844437342364442822775096, 1229390110512317011329623181750319373774487552, -3743974565317793078151898789290806389003155112, 1044802484157582245933467062311586059864506368, -4213993529729241956779499041074953642578125000, 2817869560200714567740065581266340673067417600, 2890566858574923858453652455316472284899356532, -174286534833152690967429413736623600485269504, -488043501219274704903101014574694668910601288, 230670269071857965807031445094400000000000000, -9755713882363467607246250944535556581014975656, -3954622044287522787218328614998380112288776192, -612255098579370800536119436785863764635804720, 3549111492644423012143745352050156703376736256, 2378532379196718507964691981448583828125000000, 859483196595336478883127911548349943257530368, -1512337383697907951715387115725408196919918172, -407991062474456385080790243204130767059812352, -1559119261408860852747132985467318542006612952, 552311803917318050891620097102400000000000000, 8182015310479409006375061748015831033882027264, 2606834449769781326598983313914891716742086656, -362974450264589357588329470702905173470678672, -2028621762314623604148688737135856004154556416, -812840389870186118059791624546051025390625000, -1591833466240696401803012676529823515473346560, -6476958504508093223724397164363447280843503308, 9773595761762788671812779907211984454667796480, -2405657265020871689879210418166578840053926704, -11112173501465902621811998064640000000000000, -2813951220437957469837801294333498151262463276, -2586304593268663312871624569826664075690442752, 434347352553282978662305767885761516475354244, -3101479699078194805765370885346940527889612800, -2580944803685205344554786432414524887695312500, 4966804042108240298465955707269220313371148288, -965339945331951434516345430065572826058154752, 6900071928765296247342474988589736849875927040, -5467403840116244382333696444188475860094040340, 2401531528046173681748104207802400000000000000, -11066573053190589798259862870266403938277118936, 3478137706198157611539025868845596823775084544, -6337958917510725487813861970756156172073991676, -4816075543729856508353270777144128636954214400, -2004096503442472097723403008571885058593750000, -2979644103563196541404009005075012241818910720, 2155584742058821367964879222290989759224001584, 2212948709990295637771079687278880975998156800, 5077353895520388431428101656994304839065694960, -258547740345945292800000000000000000000000000, 7251741983885640865022824415165878729731078682, -572107238046323162890490682442922618100416512, 10955982312487230115998102402995277425792348400, -96584843058753200221362278941363285790818304, 1642304309850384303875316003015684833984375000, 3381244857930962279761226487554858998558949376, 1655267490719893582266961158538339462027802040, -596339888338239306004264421156942187623088128, 2770460288269950527591290578246290100868872576, 3050580963465480270512184298592360000000000000, -304467864328038992655641888002961302161343056, -1834576121612891810555329136254906802607489024, 5099528466585796257113522260463599873645103600, -1063144875051835200360167175359085241638715392, 1201480550385106372864324213586680019531250000, -2614003041720253995846875472974125239124361216, 12110190926197021214158559067614812179852396132, -3701545050261519431150739107208226249042034688, -8453127232273704638688118224969080885645429520, 127954302271313625180912036577280000000000000, 13567424095937078932483496047820298863309441460, 1063384637097787640484338952040432211825983488, 9480711529416065125276637924960836215475210164, -2088691046473478348258614271058449731971710976, 1787904863461204868400460916757583618164062500, -1482479681412382995933857113991159600865574912, -1178691335730494992374746187565883222993135160, 5061982116983422892478732091884746547499368448, 1030909847620845691073676377631989400284913192, 7743926878091835034519832522976360000000000000, 9325618524259531944392741842941311725147444608, 1106381007175861379207043172472871497970483200, -12062373062061634101945678037117859519416442112, 5171950173463476673609821854787016876237553664, -2469177381718534289410057853717668569335937500, -2593390012076625953478623902029343584461783040, -8616505886422841734588469886195666473741697308, 12705968082016914435237174476305124770359607296, 10419713493555238816757319545632801756751904408, -153050646722872661975347505397760000000000000, 5791884972219916358238159796552270237306823604, 1246284609122007222323643048814862965241020416, -2697470375373976510611866791102877527625926840, 5201526092914438546902616946686815036575318016, -2815304022733881556977995398393585751953125000, 7185574285706642122479234138725171852121243648, -2368811225939042354905572081269455463557522068, -121849127335543341885713426780926965580824576, 1672181476157498018801994973408141319513754560, -1515812196769180280581713867187500000000000000, -17196593727022361790890950650824088930508380000, -3042356304008433468501671868947128022711926784, -4892057218100003791875865844862566502551583552, -1152693541942114480140577345906977771610767360, -2499944105323371207474973399501292460937500000, -3477121430933278815634292590280508125734764544, 4214340411080755193684028542091111026309851680, -1341959063244875562159360493649422423923916800, 14583486188143081618233431079056764645493015880, -4905428325013488907583286719938560000000000000, 149320869644963566322393633731245262991646744, -913655008314844730102573620470991379904397312, 12084388124180171932595686436425413507528794088, 100471925364603973390772977543896366147698688, 449307486616759153945167463864239111328125000, -20484434722411017095631382206207568850742116352, -12875320653373168262356611526293825735516214148, 8250071877079231549229516056986490352223387648, -5778157680629261238535274228926514049450735672, 506240519759867254401197513836000000000000000, -1387266956956559725451210568015866627658174216, 5821160830323614853476099207742593775251226624, -15188177467767555961130607665528642191478489996, 309367606210802703397252953459252004488249344, -1184221547701840892137333917617797851562500000, -4801308818164557161309855460452155842426306560, 6029571633239265034685883504869470357048040052, 1013054319866767095448477192176730269867048960, 2460353937898933771212635090167243890635072312, -184579031907661260614147999006720000000000000, -12322767050832875416801519702143119743053641736, -596319989456942758509175849372814563173138432, -921398700812433654477484895391751994341813392, 14551299881229729784900366436769539510784491520, -1084362967538208568681659984596837285156250000, -1145963833917610668811139238714641554201903104, 4008791075420209975086537661016647226521768200, -2030983394215860675338320056914594189455392768, 6837767773651894077391691185395151708800451200, 523652353266493851116903749937520000000000000, 14437136919998352548584508746626615798321726744, 1500000592387001740077113606978438924473466880, -41056805592170241763049760358786497768481698396, -11074242053031364044938042644744178297834373120, -3598519947055393577752533256949761572265625000, -1318211821701390639623062118607675765112700928, 135745753064887407473089973756687788844641344, 1221018822516099655366563230350450085297684480, -2255598254055898742344603993039643888261816088, 298023223876953125000000000000000000000000000, -19023271092930208716045768150149579575307167752, -9392434627832873515026199891274848502078177280, -1747366600730584078583560920092680512627064796, 322841770556129225147034587976217247174623232, -4338545566818729273492044273839676982421875000, -329848453432080536023750228180774725787975680, -13137854625097799836910106501922098426692340600, -361705936778697307133586832806997387955404800, 4692278079860267524084933330428872045136346568, -3964131534101736839308086252047040000000000000, 53291708879376922938983899672666845952935202344, -3706887279326096266389410694991604658804359168, 2263368568253974320013859222819118704685896160, 7593022341519583272207500065743254892932628480, 9830968926478245743883387893425764448242187500, 722785820498688348994843992775948414891327488, -12204727154725805263978559425862799326452601280, -10937647240662937873463237075461248631686758400, 20822035038290456587097311650088714469787470400, 1347009372916864134310234045808640000000000000, -109919626704917557472741832870771736316394356, 10706930767612958919429934323482773354774528, -26902661244711143694858423636087403218071502996, 1193490927906223449053935162397368183177609216, -423298672024905730275028520822525024414062500, -11874729151615008409653455632481875641015926784, -5298425084022687689729962251184313222791363188, 523800315286322981577623728872701164267765760, -20970074999513598545467450178387029291212413172, 7540762898893175252564279104725120000000000000, -8610425231727054203750714840427760175729186496, 1375238205877315163742683336736239025653809152, 19434485910760910159971145555290202446179364200, 1376357376149583318888039395492480348609118208, -7179441814921965501400211458193445834960937500, 1128102779098443275879826680283872054986407936, 11419800179827743794690544234072285628454780880, -3913484214581643951428096994850270009902366720, 8978014824686398896984491585752205601014772280, -1892488665733673235990179683696640000000000000, -5572415629400328517858179016700972482699028808, -30863678368383604297156961697391825915461894144, 1943006791004179924352832342442405233353343204, -952269721341899174360445580313886328621105152, 1095721122686619641639802146583710668945312500, -7111721815751225331083039623496861462498508800, 13918536328697870443128257443499469064259994228, 4770436109821785179901068079797463657467609088, 7190008075746195878255548429477454009807534340, 503226551059055973261035156250000000000000000, 20271320873393485845778016147539019652084722584, 2793446679427533469731254667069181971576913920, -18745393100712823767017813893366290520910337072, -18315881617053780562303521758734544998126288896, -2458724824054720202340644284483701396484375000, -16571247079632149085969061478596843375750545408, -10476001043587369813526887862805096546666716588, -10411623482616582261166872004093713076765327360, 28208928074915120796940371758972331922723356168, -405648192073033408478945025720320000000000000, 15326271922812496090199927443177884186913781064, 4081404327810523384465825722427237131493441536, -18633804756006226178526693156963648165794167872, 10929225058508867419227503896632913050464157696, 32600817281933652890672202653362379882812500000, -1037172059553331587696870551744347921836244992, 15714000842911504864528844176013596347382193904, 7869695493404306934297482711685190899751452672, 452062084353737798946613165339133593707497192, -3354484535696405349636957721789320000000000000, 212038303616737706506445312285699211639893544, 4559406516057573840034134819815322802450333696, -12194023269032300190011944762355404503579098352, 15797518074852282632469749965084568695214702592, -1005081817994373453625512593984603881835937500, 223670452697866801837575789567960935829602304, 26025596276776104524061298163447694451428701520, 17996646522166314049656470628537519203884892160, 18855159336039936141394221174395078419306285800, 5052085731775786079480833047920640000000000000, 28472212364221148237832290637327942045653458200, 16132008924829801722872961040832349902342586368, 16338314297080046499784333250824283596712953128, -5061209162965613997647585875694139035615232000, 8222281826705046863920855368000935859375000000, -1387605597006284417915266286616525461614362624, -37549974481136697960816133206900201714638244640, 295166659319602283374259637738944919616094208, 44932683663838091531811181971133177526473148808, -1386142869602360574092311551822320000000000000, -23709296586473164990888843230140813783987229336, 11853694427171838597344045107592973888063012864, -5795058190511369577974446522818644011325480156, 4973444149525142192076745170480469862363070464, -10202017442791654969786733233295663876953125000, -6526591356002497918339397772860394462857134080, 21998659605594887300825428079419492046983303092, 14309630327681711789120013250541127048632795136, 5397000886619131189247132087867537464163637768, -851226616842482483200000000000000000000000000, -31996766925636924881648454652402768748389915818, -15921052423727521780281949726653785844942077952, -11710520999125352612327235522081676541548681200, 6450917091654803254774329587128047096343560192, 10892571253273605662197129908265915913085937500, -3105183827962482867188910921832022740492582912, -332615718854514635446520753001916692666170880, -4599832669591091786014503607569957226111041536, -7808648814849323967555633037405858667698189620, 22614960963292553507149863280434600000000000000, 3047240640026097999305190352368239592844420664, 1182290140881828746592939924397269639764115456, 8449414959862748574114424413791789620496718768, -15525518296475345916041942155886744591512928256, -1895444368531475486707752828370687211914062500, -9008926368427222771971094154013387325754572800, -8582450387459786906758108227259337458095844508, -1058569510262013100346928102201488687074639872, -76150838382244488496918653701630326871589124560, -3176425325705772261655231062343680000000000000, -13167807969792242434040657369874279521049726996, 23422520597914316679621789997505500757891481600, 23001876375864806769840828637549074106892438888, -357526957137140331547806496864434035059851264, -849479163348890186171047389507293701171875000, 13852948567092871381335231185297687457351008256, 16224670866506642528611618847413067092546904304, -37475093476363302851525233889020382162995642368, -17863159744318983951888962951502186246246439680, 6134623139848782073098795524300760000000000000, -50002864359814971841400723590692125879587448856, -1131790661157470428955168614436495616947257344, 3364893169607369165418849300910773034105583364, 14036991496550519484929908396863944772334387200, -5167295168824760616823862037269853691406250000, -6475309575999162608336207501762508194473574400, 15746197944820874664759305589688782449795280948, -14248712560408955124107349003864832951843553280, 2488967238930628998750331048227531508000197840, -272396763047820250426822298173440000000000000, -8461030417628469301407273563297097052448543200, -312819048722493345591740020730582325603500032, 14228841130671420593855995449834780869399752728, -9769036508452437459553330225955229478581960704, -16989624062416988624815128115635054289550781250, 45673542360448444716580301179276113848265277440, -34942877535324899072707725301698940203140853428, 14937601556124220040200382557946309292056379392, -21697792911436466854219710011691158859725759352, -4133852622268634175312451171875000000000000000, -35315457351066830750518030518905525117926894272, 5861450063305159449511984555916229415777861632, -2611696690721923089785210436063602387248570480, -5707466802039564802114928713858048258171764736, -13889846850101877351471577719804629736328125000, 4192487699324791761165075749225614893423525888, -20108425260172252662186308847871152284377025628, 40209847388643115166369995968882310726972932096, -11519375545057378694452246058740230963214793720, 1773430644691821367292144943104000000000000000, -2785785145792578408665115113277295958643493416, -5089370483135788390868149133065498038523920384, 741215243000177485587881032766542107450341844, -21069262143126612982263837652491194593903116288, 23331361438385475723988893937722104384765625000, 37574427617413654835631457706335091186009767936, 5235286619501985479091293735848518155521009104, -677452990258015522454603716711816834465136640, 14800997900035567163852278110565682313554706792, -12322980920685467364207461261384400000000000000, 58753691485200458255525594605681438816347375544, 6005980102050461535348286377158275690200563712, 7178929323493295736929320068570853904407960128, -8711744730083261832833546172447096969756672, -2137976167443355777516175132989883422851562500, 13729416947371190774816839795059402513938644992, 17136651903627460466644422359907971279760569332, -22609439538744560507803559083719142245386092544, -25174223900112416542624992231398759923373997600, 2666492300186108528678114605137920000000000000, -8440819735491527685321034422292454996699820456, -23491398190798554579469268473732746512589619200, -11527549267948171744198793383560345726881559836, -8666746540630916784252012846507222329299304448, 2965950315017190045961066523558978613281250000, -2230335546156515614169134637675074124273418240, -14364744384332763625890530698626623811896359188, 1156251121417515485852577684184290423264509952, -3125583216640113283234272723442623958792748180, -19077119529818475714361032682873800000000000000, -77643827163255496368607057690603310531101499064, -7144944934073054992083707417323776157914497024, 400852262949104401215054550958865002477241444, 28372829612976930098427015732234996561394728960, 13402257154619292034871183933188865976562500000, -2065630066673244641552150347558886126664024064, 101669380706229728312894707956929150663844547680, -15024579980095585024318695207725358402011136000, -31482919049297888575579207030623961427439677880, -9322436590570224036000000000000000000000000000, 37938966638542540526272412101876523960319271784, -5444021345714028081535777844577686775458496512, 9126275185179851167646057387870759428484655888, 2278440493479122698662052203522610665571221504, -31570019663668360174932987887772385991210937500, 14413088876463889051877325808981544927165939712, -14418206599696736095449953319495215975768357108, 22021871627404630495085487954360616474889945088, -14876720019898173875855653994780290853858237832, -192734778802038483034578150294640000000000000, 38920826687386203896354023533995445874234605624, 1981153601274212082114067669264963220992425984, 22149137668261974761519088518783770413349009924, 19686469516159948071402348927207888188801679360, -11925360988415004169979715205258167685546875000, -4350838937102028756325946006261774756350001152, -32733605129737690597935570914513642271366969600, -26327499365878961873103435600234808060293218304, 8375078337202179934840470309718282453271115760, 2271847389708013428371919816622080000000000000, -45876645496207010227818849163620465357048048456, -16188660694695141006501829608490678394794770432, -2713626109651670693282297370109357357701291720, -30828996325213670260684268660163234985383297024, 6923877802771994087887907773256301879882812500, -23142061667661487210250473384390168704859176960, -36726560164608128633987512546967707141697206320, -14631973085889433855943183435941403819671289856, 52208793803895031916968031104132548900586119060, -2221043461259050059583711185360480000000000000, 47432914798869967662901513889692934554968469024, -8819563493387691439329279015366702349223460864, 65756782852598344726861134936964403238035005968, 4350801635160521438748300072875989074627231744, -12616432009348564758958264068079755385742187500, 26729911243903645568845452172517519533277184000, 2156048349573598156159620585228884106782707824, -13903663769342949486366564824619508106504060928, 9545848014024515862700282794481527643724647296, -1129329846138886001175872442531840000000000000, 30863822390583425775592624934234188732932854244, 34730148589306017621061707001492757969438834688, 44704190345824258123580058248693855460784354688, 3841250856422923426686809363439481690500628480, -39563035016590482034865371356249478696289062500, 21355558531547518425236749883285121942262284288, 214839094977748800158594466104118043147994184, -26555369759015468972166148029812156880283238400, -4769785261634947427234415928038679955148340460, -2530983547852993011474609375000000000000000000, 4380255962393538641605396626204333078593355648, -1184224372857967098376945894068580163501686784, 11950713277062793708552225551223731247182502644, -42895465731276579694306696245815742865600905216, 26174356809639842570061470301399672363281250000, 35173327128369341447776708368245514928927014912, -35032659853647924985545733604278134918236243520, 5019170768813887216623499817283152516275175424, -100031170810864785570728279125831636667660560560, -4909141003258287857009864233451520000000000000, -6177223175126982273832078807946225897275579392, 33862994548163340613283481925910485158160007168, 70099862284964118329792434206747336929333468364, 1987084355653159601242615379592159665267408896, 945770354949974036892590107847895898437500000, 6269981124167549031182033409470737962832429056, 27776094134089643696901734357084164917348148012, -4579134730419426942346082465373149188992270336, 19478192807512550372996626445028609190250434656, 4337146948834216456899637024926680000000000000, 26136512555074622475382579717105765579048770984, -3445025851981115005589158324478880534314876928, 32213460232631611011817263320492178659789597040, -44212473276202365780011659296754238481494835200, 13557531581488290958377816116809844970703125000, 11103004923084059420072549274529842188387352576, -3000651017476472394684746887982612981670163068, 23751177854050944534248699178617708289645674496, -4288555600304616233700769248522452238765312808, 893439392223770977911270286950400000000000000, 132135622375903956868173303715114183887556568880, -24860205348363019567254963267604802215217528832, -27003798034857261688917467058798684737860529148, 18986020910594893143572426239227433789874503680, 22736725296876653669444072569870388217773437500, 14359138891193544423129270939577490528472924160, -26215124186584526107521659429512974248719918920, -13054960132341331000268513358379235903992233984, -15321156281718727998068466762416251195359050940, -63400301283599788717407422833897680000000000000, 30609672544239600343739498942905976899768048984, 28083891958055210894199225611725361246822727680, 92423421220515445460962120479985404211834544400, 16506895889238233325496426881736617631249072128, -32380759451573925809212026891934352939453125000, -18961110218423422003420865115382029348438540288, -78557696696983945478404503142422870483527975708, -47070503861876588633737055275237874393798410240, 137483256026410712426185724952427196658462666408, -383762317339472691200000000000000000000000000, -71959679479501152382504504732760338585938729756, 60181087804688846585684434351387764106541334528, 40869120417776697715872949053237297335740879684, 7309864418686950185551784168535619210309533696, 4485239256924831411616574224052270156250000000, 16325584296311352886228626382586361027315695616, 9396903704706177395788258973004006119147630904, -15217848671721601191243960372363358780532981760, 37044379469947901453271576353520252932475081134, -2828489605192202701610497926285240000000000000, -90290843988405228152039355767995948035459809016, -30846999507225179895556650772986802877759488000, -65674502134397122053479145380673989054834721480, -7188429140453899207642623830570444782183514112, 1437336597512257853324400081170559858398437500, 3444996289205483126947444275562375765938929664, -47403499197408804593168617873394867832161765292, -20887073635402372692487111005901429474933309440, -102039277985286858545644788084846366954399186120, 8262917234484645976590447396126720000000000000, -2861037599991805456686293392839060611481697952, -30396357372611831027862855285746541038785462272, 141673578543846881259577551559949418396616273848, 439686415795128881926864966106195240631140352, -2388385176912307869903776282072067260742187500, -110699713387434190818551415591560200943347924992, 4362476682044785865609585201946393854205756864, -4516456878070099062961485664316568439885922304, -137416005197343287008936676375530722118009105104, -323945129498135910777400942951240000000000000, -139853775234490348597231320444709658504554518000, -9807726281016098573727061821719910384213688320, 3984181312000923119023401563489361744555285604, -4320094698000450796518500237612261724702310400, 26254283821351084968062168441589857797851562500, 10569355245377469073872167112671808654388756480, 11500658247743255640044822309303838082674160692, -18986171869833440807617282398794415146693296128, -59925370295317689495641447548367581666552791528, 1620420303560428091285588032880640000000000000, -114248353301030067544158629611048366927312643976, 21235019020380544799572399550479988649778053120, -53780308202632824662514990171474225562539487596, 14280682901170539651105877411713092778448650240, 48166864569466168276028097260434929418945312500, -48151930314215147886557532184688674438242598912, 55870816375487190258675331676841610138387084176, 5136228791322005117788038616047921618632048640, 2794988874690631642175422568596065772125416064, -19241228912579266972514648437500000000000000000, -8203294584782193247280941844261049600335324576, 29139692537632707804372769219497935512956567552, -16521939422611591593748519369158419650590368316, -891242186015958569362043562267970794822598656, 20126982025905535477398993944468167011718750000, -3569809740037380763281038981893294830322188288, -42732398266901106624688130813200195906089002108, -43021151072084153125750477662286133309605642240, 64875798771105731380909859904840890408410868808, 19935876271267474430986713578864640000000000000, 60649830031889224999145233145253881048412641484, 36969883631833440193300955449077111017328476160, -3761778609353535375114829181912878465269128440, 306834436811694239395426356486170417572085760, 762620241151798799751088034826809707031250000, 60480242488917732562673417248602169885803184128, 54627369549245699355809660985644405524469095224, 45352068599703307142135728716891140520180449280, -122392773813464083624124890824235746375754775200, -9978448825737782547651559050708240000000000000, -70400382762930365518215781879110095367755670720, -45972994895159601047197539722693826559522897920, -40546257594952804986305090415715841401670849076, 58807035305017296034179144113022648329545973760, 12091382691003176580125000327825546264648437500, 18316702514370714681194342395909744452320624640, -34644068394857574961264659051968475404354970576, 402191069502961034862746101776533781212037120, 75226683659093366985847383060784354090553749440, -5719918308834151919500681889710080000000000000, 10435269132612751110465282167638962234103321304, 39754970726057976830909840880055448691158286336, -157327629169485396985940655086499784452346534188, 11494322774787198631082584179662344353109508096, -28390304317453591174640749363604319790039062500, 38330140763355897894800050221499457672321826816, -29588246455121268841793029381330469653396503908, 25651755936096325191809371554747700823495540736, 189256148111271161954060610703711537753919273040, 17589364502062617960602406788487940000000000000, 24224032691551957344938433558692500255617426120, 20440404438635169410362716600032837945222234112, -67817450058357706888420753187224477318053913152, 37706864120778795472495813610831128236673040384, 54524693540063613521685105552117397646484375000, 1246644308833572194788613766866584309935898624, 85658938099747007553878446233469813087775227332, 36574480179932245700234783454038589294122827776, 21195099866502232343368245624227999132632429448, -4799739984447016938000000000000000000000000000, 18458366484973879691551538866599997522529674104, 122136923810506688144874740265557676925296181248, -51978404350502318930316638685115668114139020396, 43940757257960325950763192877864381536666648576, -461687923740096317138360729947783037109375000, -113129895954028874862280879707335027441327767552, -52368587175154560330697296933161719643295898800, 23976374306347027432202028396757599298779086848, -5659324927042710675689784929542979400770907660, 46294615905114668840432044703675760000000000000, 142102951885459161607061154093560344753149158928, -3142615631684612891730835697843820432994598912, -18483236885547865586795371358486066934581398752, 90322500420459581224051070734015776920502140928, 63147512095824573734146012995576551015625000000, 172543795702883697947530384131550041655870488576, -4046061008054896792300756777429598413279349228, -28505440129416441554766162396550010549265694720, -17968215026062601214343924907383330306600091040, 8336665232287069501605258136125440000000000000, -77765070280444809121596288116556541083773371176, 6627677587510797500783849259333133561056657408, -16153404521896683804323727166979135939028457120, 25324947246091930861139790880219907007128272896, 35686265583177690308090761882066726684570312500, 1618067924476505088434215481158681243995340800, 27045247483863568143513206559924124499633984652, -31758416618101808721413361747116587735414996992, -84304223560843642956358988912618082917805359160, 36264408519330410296285443902735160000000000000, 102238094196932875338072732274352530953624294504, -47173972640977806893796333076895340621813776384, 11516240895114991395371834753545783436216875920, -61184307647704085833766065877702246020155408384, 41355178849505802716167193625337911606445312500, 21689674048434454393442347262811359060506443776, 52308025129136205935360431470420931969033898880, 7289644269796995759138743665273343074602909696, 109192506528867252578522689217737923016492851720, -22362475838459740977298191533015040000000000000, 2199878663355192488957141768656800900283526184, -11639781180550697874250407361380540785860083712, -277666791410136643661701550047261541635564390800, -16457937285765708947203331051488162920202764288, -51256748705795226992269191783022336914062500000, -96402812047294181128841439113661038811777859584, -27557723533534113145014123716922341395999377736, -23772094799977711380401699654662047197753769984, 131540615466736291915657416091704408312799559208, -4195867751547811454784667968750000000000000000, 56727357304008851822556659615176155204617704344, -152669597638248299278419450017951682862163951616, 2842542691548490728370700632516039824303537844, -703521945788263017564415628668331473834606592, -64557961971230233978417260951576403447265625000, 25739684416105339247299556951621645837176668160, 120195755558732499288896515578509931454904590692, -60705181089736503331295642886798411150732165120, 167931787634741847232053991721833935116362292160, 7421314193824516861801207473111040000000000000, -14605609825232956575937815616996764896412688536, -7484315694737991521224509791835169950886428672, 85086808980295239319579671949978061852537260404, -75726781262906786413280265889063507778233958400, -47418042409295254885346063272934620122070312500, 85349604389312382680074654331934379305808068608, 150890117442324796519441944700238959529601004176, -4030627948462613837625635026275313253150097408, -76740621830140563001257345350323474526922686820, 28955282073014976082104343304851200000000000000, -159337264469224484337402588594392733552797195696, 33391248296185271802588568857786490003050725376, -70928411332320387318407355878781127833193590192, -86846585283371210322880902216856645282641248256, 202129258495295337012284982204437255859375000, -50606921368790922663580813966749761987961421824, -150225622620916438492409259664520582876603379400, -46783877306071038572805157243668025411220439040, 171952021720070704054866715156207808103862629648, 56415587079358279984542075641856000000000000000, -48140255323817687630058454460441744769604006272, -31766771230871787386540351116584515429988040704, -224365523740392670120251956503757902836946505200, 9255427681371629687007802322433096619856494592, -125511577221282936940815033969369994335937500000, -6873271695355540077570604979009802998294740992, 199816700197287564262058579043852480377095754040, -8692204121972495620981671882532525137910038528, -7869372352701478394011166881536717021447045468, -63266956316477401042703165673548880000000000000, -153854352416789485088663466661703536422194903256, -27238882628823580605318304944349182151587004416, 292209236196658364151392948255405305322423825688, -41655580624100309308663475177188295836003860480, 54199410507193470792190219164240483984375000000, 15149501492672903043963159191963127361975615488, -436353020084879848779355253146616190009838566108, 41495381796060272080705102528398531581038755840, 110567927032893922118156429165928677802760193520, 4702956000000000000000000000000000000000000000], 'weight': 28, 'weight_parity': 1}
• mf_hecke_nf •

  Column	Type
  an	jsonb
  ap	jsonb
  char_orbit_index	smallint
  field_poly	numeric[]
  hecke_orbit_code	bigint
  hecke_ring_character_values	jsonb
  hecke_ring_cyclotomic_generator	integer
  hecke_ring_denominators	numeric[]
  hecke_ring_inverse_denominators	numeric[]
  hecke_ring_inverse_numerators	numeric[]
  hecke_ring_numerators	numeric[]
  hecke_ring_power_basis	boolean
  hecke_ring_rank	integer
  label	text
  level	integer
  maxp	integer
  weight	smallint

  
  {'an': [[1, 0], [8192, 0], [-2351478, -31], [67108864, 0], [-1220703125, 0], [-19263307776, -253952], [-28592520754, -523383], [549755813888, 0], [7751934821097, 145791636], [-10000000000000, 0], [84925715349552, -706607946], [-157805017300992, -2080374784], [-519547495631398, 10710469068], [-234229930016768, -4287553536], [2870456542968750, 37841796875], [4503599627370496, 0], [-25222572804883974, 121814881908], [63503850054426624, 1194325082112], [223431865047061700, 827013117456], [-81920000000000000, 0], [233503054413883212, 2117091753448], [695711460143529984, -5788532293632], [-3323653966161863478, 13088336135619], [-1292738701729726464, -17042430230528], [1490116119384765625, 0], [-4256133084212412416, 87740162605056], [-46612182952851120180, -346742282057418], [-1918811586697363456, -35123638566912], [-23998699922235084690, -632322076457448], [23514780000000000000, 310000000000000], [16787365157839418372, 2034677427441438], [36893488147419103232, 0], [24774341277208827744, -971124136191924], [-206623316417609515008, 997907512590336], [34902979436035156250, 638895263671875], [520223539645862903808, 9783911072661504], [-674964593947562831254, -9323807802687672], [1830353838465529446400, 6774891458199552], [-2180798524299197618556, -9079460018509166], [-671088640000000000000, 0], [-591478734817839618378, -89868732647813508], [1912857021758531272704, 17343215644246016], [-1959134884281756529918, 111566148666078057], [5699268281495797628928, -47419656549433344], [-9462811060909423828125, -177968305664062500], [-27227373290797985611776, 107219649622990848], [-16013663240845607718714, 277287175016346297], [-10590115444569919193088, -139611588448485376], [-62087667579665624292627, 29929678579581564], [12207031250000000000000, 0], [20612159531378932664772, 495454742072143170], [-34866242225868082511872, 718767412060618752], [-169322603408123255820798, 1586128725955110228], [-381847002749756376514560, -2840512774614368256], [-103669086120058593750000, 862558527832031250], [-15718904518224801431552, -287732847140143104], [-788120736259246775194200, -8871090967868112668], [-196597349762949813780480, -5179982450339414016], [-171862743103398357187980, 4699720722675497244], [192633077760000000000000, 2539520000000000000], [114031617882007853668442, 10254811539300376416], [137522095373020515303424, 16668077485600260096], [-1003600189772892098359938, -8225781280559824695], [302231454903657293676544, 0], [634213251503171386718750, -13074303061523437500], [202951403742894716878848, -7955448923684241408], [-1986691579361340797452714, 1159307302858461171], [-1692658208093057146945536, 8174858343140032512], [3657595070643937481202084, 72256338471504672936], [285925207540000000000000, 5233830000000000000], [-1207307207256874510113588, -76374649612428158754], [4261671236778908907995136, 80149799507243040768], [-6211299622272751854065998, -154656030327139958892], [-5529309953618434713632768, -76380633519617409024], [-3503975272178649902343750, -46193599700927734375], [14994258644709617224908800, 55499910825570729984], [1361648496926313564098592, -24244973315848263132], [-17865101511059026891210752, -74378936471627087872], [7098817997275294426574840, 34383253410134098356], [-5497558138880000000000000, 0], [160647515623987805352940101, 1148586186652457720652], [-4845393795627742153752576, -736204657850888257536], [56818803396583669105584642, -338156352604839538515], [15670124722245888185991168, 142075622557663363072], [30789273443461882324218750, -148699807016601562500], [-16049232972036149493088256, 913949889872511442944], [257308563976527478682764620, 2230851149293294533534], [46688405762013574176178176, -388461826452957954048], [69608880174173931904556010, -2454773726725586065320], [-77519348210970000000000000, -1457916360000000000000], [-42590383689492039246972308, -34316982205817057838], [-223046641998217098131668992, 878343369711541026816], [-685851676135577701021910616, -5304907527618159714896], [-131183929269007218431705088, 2271536537733908865024], [-272743975887526489257812500, -1009537496894531250000], [-86754225721916778029776896, -1143698132569992200192], [599921321634782833948122146, 2845721110635543329820], [-508622172812620794205200384, 245183926923932172288], [-397358813952961764900415056, 6903880237820269310310], [100000000000000000000000000, 0]], 'ap': [[8192, 0], [-2351478, -31], [-1220703125, 0], [-28592520754, -523383], [84925715349552, -706607946], [-519547495631398, 10710469068], [-25222572804883974, 121814881908], [223431865047061700, 827013117456], [-3323653966161863478, 13088336135619], [-23998699922235084690, -632322076457448], [16787365157839418372, 2034677427441438], [-674964593947562831254, -9323807802687672], [-591478734817839618378, -89868732647813508], [-1959134884281756529918, 111566148666078057], [-16013663240845607718714, 277287175016346297], [-169322603408123255820798, 1586128725955110228], [-171862743103398357187980, 4699720722675497244], [114031617882007853668442, 10254811539300376416], [-1986691579361340797452714, 1159307302858461171], [-1207307207256874510113588, -76374649612428158754], [-6211299622272751854065998, -154656030327139958892], [7098817997275294426574840, 34383253410134098356], [56818803396583669105584642, -338156352604839538515], [69608880174173931904556010, -2454773726725586065320], [599921321634782833948122146, 2845721110635543329820], [-142035465061500016329237858, 7031119091491245048072], [-337249495163285804322824158, -14169222347444584995345], [-717385759280986952884736274, -17220245432935940753109], [2323267869094222871264368250, 8594990374194582225288], [-801409080085120043837511078, 260158296112953831864], [11550834141440876684510374046, -3664909539826187677299], [19387361607090895151704291152, -107713075787284872493398], [6892882361687536628270705826, -872605613929127820409968], [-5453121290428289660102968060, -355410858727228098435036], [-344333417232411376858777317150, 826920758136483609492360], [-290212636335801965153588563348, 430248385809669340364190], [-411547160719793610626983181854, -2387016444903583872197928], [-510684013920303024437974804558, 150194154216294732403965], [666797739473696974882109420286, -10529549492678982489271479], [-508386081057235699448124950958, -9390854295687822328825080], [34065465649623565202500236780, 3571986433576355661975588], [138405321518494627806973725422, -16400412573664014260255472], [426900009058706945818584584652, -2176644678477517716304254], [4031588768638778999281608290042, 40459322536293871857925140], [-12612153110956988799510856064934, 10117911735822969910750116], [760552830278347318348293430040, -167457650009083724296467408], [-19438860988439294428158187344928, 111633461926952024152810410], [-34489519653909976050570581591638, -66704776003404344188871169], [38285343316821750683686762657086, 439645962501694328325045423], [107712362562675536897883093124550, -174484728034599580653594336], [-44012266420787590936979883624918, 770476796090331161833602972], [-120076576402308684087405210390120, -174835667189083529114793564], [-152529048173274013525609214929618, 649634055144152858104383660], [198206576705086841965404312602352, 2751148453383516502311010110], [167724226784820267481847886089466, 1665879150200033656893948408], [-306731156992439103654939776215038, 1085376579201419559629398311], [953855976490923785718051634143690, -408636388584220382482758192], [9636738940101924151728907514732, 3437102427291723918960855282], [-216857347441710822844981851246334, -12615053362493538085813952088], [141424480259610135080524896314262, -7751723507285013319609168620], [16197256474906795538870047147562, 4573992818266769247615890301], [-1813220425966520514814272195136758, 14677739663343224795136602640], [-3162423518854919908002823458701194, 39868415641123546675178437515], [-1847168636428123750500453804229068, 55594899539262340921430373738], [293622879831790874183784206230682, -17387734996980897089644120488], [1026003500645350209997401798576786, -10852808336222207383912039524], [13585669472490026273772293787211592, -12944278863974191820319776526], [-1878679601462176507586400791805214, 55511917086127528546445974440], [10098124151303690650886482466857926, -149936864475694197769125789561], [25542150941014561698647617605934430, 115301796773403605087016956784], [399892465607198466320246521814802, 127193078133459159190800558168], [-41812195281781533637693009698244920, 11901151636358207129252559792], [19726643630232915159869978436119126, -147304208641625402273356146327], [8417762438849995020980534102303042, -328946907279197934980278838280], [-7184539469334556939348232600382340, 281770040592014797368132435552], [28262792982505787361277184498424282, 636209195936734132642496552967], [2271814488826630438530963728572290, 240860847394870024652478433104], [46888397337258395713848639922046426, 149831444049269144095876669644], [109302580648118010870664453712844162, -1458691942373444739363159745632], [-62392057922805328768680244631565970, 683292320571007610698255380372], [-186015826283083155637704964375809540, -81935194409653518839058532476], [-138837070339793120754933016115912158, 3309140927239104418825765150920], [-125489305699252588578831260944205988, 1195473212691901342122825131370], [-387766076415671470404450599725619518, 120979794650823678650653909212], [162154181308152522221065302593375000, -3897165438516810481991443970928], [-500181701118845919827428329078489198, -4023065962448539755880318776327], [-935421258109676724358478437286943930, 1472809913067698072738933238396], [-297096837051235531220336821317425494, -4473504348238323722646198996480], [-138803528901041194001153625645379578, -177209181988137080262888718680], [-360114727919018908483825054708256398, -1897679349312535470662916744597], [-413094998004503209355867857115883114, -8504713332917040471178586946069], [820877927810036571227505872311044120, -17374625417446609251135518528220], [1011375055551911644942359696882757046, -8759589948747244042310811589707], [1023977105540452846581749104435729392, 10942142461082051678479003153998], [1473953770313889209447437622046622340, -2907059498840876378122262918088], [-4026764872285489456694635681147193118, -3777011333012186325150190224873], [-448807371852439405215662959240687890, -11984692580215884652664934050304], [-4461597185340868879235944410425719158, 27364911973260736809102050058240], [776374013350492359355495558500633482, 38094414425931179797823778940437], [12931080054238560327652551838831569302, -6610427397440383368902832946824], [5167690551029172125269304962285467806, 74150837138890511063616856175103], [-9312962681600677343004292124618911014, 41201836667537424575954200756344], [-588733070341020816721674273247461318, 112630735230782649924993120076497], [-19729147727653342525861108637874147090, 25273868561017420187940950634084], [-8244011837810907331542627919654161208, -188680893103101924203979934403790], [11628668648428990945132850939332329386, -146506989765824349911211177994512], [-16939081256757576792542082508938408594, 114954655362028630007047935941451], [19422430170847336401037747516594020402, -316706666656439923406673345928032], [-22200078543746445636481113769672902240, 4781191470607824690468588991908], [-719613157650479675988571933965111418, -272272350672223070482939860648156], [37714705742772094104280561893319685366, 104042279458241954844281443594713], [-22667320847574125740689574695729673078, -197199312172403347512417818505156], [61467825450593468168597788043219524266, 87897146008966121533578744146220], [-35772538320456126044018979820997684020, -244822217748681893646653712638760], [8892200350062723823293560463170470172, 889164006774711365171521230520998], [81429072160339857781138300125546105582, -216208972301109468051275055001140], [33970225722026630044237783698851785082, -315694852936631199191551053360663], [2199162984785454596387294215999133286, 372831796478431330591626874779117], [8808747983588492472417205008844060002, 89793596753427336215682267589908], [-48244815886014421346308346850890727300, 426562522800773326684874792040348], [-72784993860516231205711738958621244718, -1280484203812475373089106551059632], [-53233988091893903852132763097612382158, 600341192766993311404826272362660], [164075729455088306181769728320543590746, 191770941110829039409489254284076], [-65710868637172068948516838367035257438, 2965510037088612029804521153973481], [14804932144680318245609219220222232232, 480932167000923914381234752378230], [54462734004012869190810502831158185082, 1703975583511758170714514280977864], [78747833113204457416178041045902733910, -1264647469850120465672087828295144], [136470068353196342894392776458783033880, -3057532380424446041233458996401100], [178637909191452171148374888276737923166, -1021339587885153811644323777483223], [-351473485238684765203269817507977341278, 2894703616352344109250208237542144], [191775593281577074880149639782470806220, -4615576624141281641825027156462292], [248784186662623821218226618005234673642, 4374546254403861804545853648790275], [-962771174103403210786393314920073202108, 178397393294453188538312429426382], [-242461194778908230858701809104679578734, -8059831070540573021035026640325232], [-271684506728075005652325908233359146598, 9091126564735568023545722953953504], [-591852343464804811460330714956931852350, 184657257755780147154106887172056], [-534534103028692019596231863082743278358, -2519442581246704565123660358026700], [734606450785711024529943201677910348926, 9917038865919908230237750998690807], [477839606456431698679674692794535663106, 13880809706699682448055027854504308], [-1389375601585392903414927648464147041590, 12139355482558805122272218712585216], [817117681082828511090771744461742225152, 12936762814584720135186117795556974], [-832296000255943962880146945894779627598, -12859062160698746893020378969588552], [2184267497309255683982939022606216614762, -7073713554990189722700969131536989], [-870172835273544085744480133154573916794, 25835976041277141522839780631523959], [-1575302805629214395898903538331015395750, 5350962431364695979182919380570304], [-1435873953429851023640737056585366550320, 29837528960220762957313273906096476], [-1379363586503539176632993790986324565478, -34188230376512277545595749578720956], [680464514585517713841362307714612327426, -5370548594631618376383889623372984], [-1127255925023624923642001231355045717820, -32617970677801182874655089238861148], [-387177441393816147158910918658428604518, -67854113850912441123656943493303713], [-796148946205280789905999733495248496974, 84593141846674242633445539779818320], [-4305758668840694326415790478486654213938, 9476438999083976392671349252040340], [7557526079753610824546328405778785801242, -21790661608629655965259942607620335], [1928718124038312192735000592410321512286, -9891855138083383869753048861920295], [13131516320323016183657807068941359175926, -24994164399521356553701094713565529], [-11744975537222038250174374811470077705228, -16558606015253478249156068469613410], [3603136640417219410582214770553082793520, 28467735305824192539623360226311772], [535947099377028208072767611825047130070, 37293156772351920731302251323664060], [9108000567214779946248090487403516391386, 74691987381641183590838751704788260], [-10195508981129343542853602255042980142058, -147514031246541880279428585725898432], [-2911635664653370753718119762092973092954, 201368675977339529399144900165545155], [-12410437313625561955961519000618299402518, -10246247507584801220539632720291648], [9152020971195641860186343323397731619366, -96795354494585289571248225777254475], [-8140730096467879744755227678910730531608, 89348892025062628030473037929537810], [-23789832147692381069870407740683356229934, 15179482800729353505180692292696132], [-25708258123207475553353067279627563949918, -16739808727909236552794861835154353], [20323935584954688190150261712248874504132, -38803441599115213287919446183442170], [44500055576996045045836039728118452882626, -87237835461693071706206748526372836], [41588291722303856896147182486535411474130, -157100561527568244413241362467517688], [22040540340747885144874337785957436076282, 297156643944926875451264996634659532], [-40451116088112916686821769660581518582980, -290879492940475865984005085586697248], [11356031531645907115614882091427674101782, 55216936591271230959107843649923232], [-555374049503110964181692851031233344588, -501276893443119478341185983918154670], [-43419545279202735813921804484789561783438, 64161390131575939294720004255490876], [8891746742530336338669099490581260219600, 561399889390362573544018991531313312], [30298181062971377994141250971272977842330, -25962725493091167263321037261924696], [45312180555705138279777876910689376271432, 308385426622198243882418503303610514], [13645266695443274246138753291604176200782, 769869138773770491421123563446400288], [-29268600870344489981742648449197784933638, -131666072348215480096895757317786109], [-65974941514169610345333193197612230169910, -152470152598364936912377207121788992], [-50216667031412864959660739833678882937674, -811406543659447379588596455069808383], [-83932521196180501843635649814116836860448, -996868041974263194952287938793579534], [73868588026061664880978859497491148410002, 98853479684288614889513629524109548], [-52751035726432100523319930337098718896494, -1120553331463217420112696291698132172], [79564866585237356650587756586929924512682, -1302727138700526575116606204481126193], [-7356722898961481150436298343394795434250, 1162925574635212069156410698605520808], [36381029733031369843413090614157759696746, 207008513820628868908539566325909864], [-100682091844684370719643630265632934283078, -1085430430287362584101992596845802071], [-176422735047836937622905083202678325037650, -853033165131980842456398313771544796], [216038346840919301323651909690647235740852, -114101839440486016597178325225086130], [31579432398843195631813436909781711745322, 3305815001866629500071463404498824624], [316221467736979927715027260857914792390082, 1059859626449672033754499584267353337], [46668596374334840951342918165927388524312, -2331760153822387811368770762018951954], [-241370974382783373243306189880272223650438, 1055632925087280031079041241957957520], [-123817246235023413339153365303702148691074, -926387655209004048579326779622532033], [303149660773208026029416241898756122642282, 389352934383315324232305736371100212], [-34918654665913278985015300442072913702418, 4955841895134123414380740385550334404], [-90483378992455016841666083617624487357518, -696304571387959139454039993045986868], [315670786954557902442005728441590385512546, 4172262187020401238974590947608064], [438572649274087043608351693037425039802322, 2061015437587919560207779828909762279], [-81906681106254611948203155129969630366450, 3631702495345391908449670475182415784], [-55765076191091597296299659452575157464868, 3390889825373246163910020235295926146], [18882300183764813439773739835159424102066, -789170690422863413709921629781475236], [74525074616461160605869337789944463213970, 6909067639932830735018242978472690496], [-667581008341243766690871403531570351055100, 2636328880452538437421244239374589068], [-1117912696353380161273408310469637756233294, -2500045903727936071250241421248825936], [-635475066077672257151298340093610417283040, -9536001313187690822759110199721062568], [-63303958712971898663139071761739985463638, 3455541982322576111322348061479177921], [1098428132456440066507352943636323193596490, 4690189427267176109619996794851451064], [984619685353381452812070376027365106344152, -4696093546813121186316079600731838374], [303554940766915416996871653471708365622746, 4209243662551435782559203740874824460], [-971743922346650499284786970620958608700078, 1807171948773172966814915552730468456], [-189525380124663260936823176381349044219518, -3738567133127643974668900510466814513], [-947602435087606562258419321038009313446834, -10696848477731390873643882477798258717], [-869672397485898139899130188224171933095920, -10953785386175958082410253143236832060], [-19092959516753744237777100874669331396698, -16124683661502274965128972256675780612], [-348356128054172656379085004507937515757554, 9886670032535011956162722921469853341], [-988077434978951477447621436065104882494798, -14051382401676876575151606223569272736], [265551857614777919845477299369872380043166, 35022761410679425688262782833290977745], [1303439851779023341384078972368476681046282, 19892010550647139936457214243740233812], [2066833163340047644853728144891997385141602, 5227515017010526606815439495520418672], [-2872955557975866005477115190139030419543360, 22824612642031932889406253450002548572], [-1274845802942039348906684021356288420100910, -3370592737790029316468685189803519880], [-2938960590467233147372896251506877101943518, 12391623126711908156513974174840311147], [-54397106080075596274538791642332201832434, -14679778456957633705348416460395289953], [-2625802677739511299179106302629768878760110, 4573521720000414097465782476557706496], [3691421050348982700358484939489878533069042, 20894127085328303766868586166151297740], [24547794769467836600509405626009141919680, -8451886773538667604262591646557608984], [2301444343309252653350574561207954604289126, 49884789551807515154509200774771922629], [7454646228668621102592452408786479304522472, -6024906528070382470217826312386270334], [-6904900876100395194231010724324647670979478, 19851824231724908276366972343149226324], [-1739833992273952731614145654086304354813580, -61888914714206901516386115328294484736], [-710435863070721305801416464928011522574468, 15269967477736203632164289356849562202], [-456806377852660615309113146474314572197658, 66148548254916961932404716739958053844], [5209326439777367106938150288814354205676762, 18868802847988193122051504448805068301], [-5300694902549512348808648816946816728676834, 31558994216814526700687784159766451829], [-2855461261356874912890939773173097254102810, -39207200431245013443286076441234627796], [-419511211874727787937658995300891296282638, 62541239572183348214041428754825619676], [2532677111575944340863348542993074437319260, -3940083707815866361944827024763955752], [-1647077900693199326695504522336987842341628, -136421855809708543570777558633306287750], [-4059469528494277280880585551591389755786798, 69244573750160020319005083479456820453], [-1370048726578374601142247604519972421285968, 78229506291480944154413845159052015406], [73631128297550978450334097177471964456762, -113452107167050540200361820745206912469], [-2573831066260636081237480107805246593089410, -70672678930133364364282388101881693168], [1551650095419027154019480201164399762371522, -211582755465394808020789235018442506376], [1058087606113114889630113297361524477827720, -94386530650737774372734340779352130056], [-8060802981219760976287757612271515110317394, 71314438793410171170585872117554448997], [17208507372668945235178583222394832453929912, 17529948709193443974128831636639554446], [7955676894577097180190853504087697940197060, -75623909156212286070467348435615177268], [6233428340657962954962520335741420399382002, 143421100784040465149534953734515052843], [-9210424328735230660132203195268534644645334, 217472179579034334784260457701540706956], [-19301485546092428042475098267483034089183598, 82902757621550890719475274177944151520], [-2118382419917627401652486903821167064358634, 242084738572599279341289345876213673653], [-1415768818303047918673454257826488091052610, 58374310155885179114780261322553327380], [8477782329969535248806611969354588049974482, 232473614536204949837717494554141392112], [-1360444462273223927782500404954884867315980, -234423043455330129910306522735076274408], [-3389274175476954689262097439858953909918978, -240453684023291200111625382988729453656], [3634031078545857228072622885422964861498646, -27871483329909203910809339732998555089], [34233988415421719433311500132402104326320626, 85636707032256663610973758937667508392], [-1056051073951655740780637254057871657771734, -135679620234152407956051445900540195392], [12647242437506403257127036941542387753358522, -87289895147715075945216852873479867841], [-1711715794148394088821143037492953700954354, -153574852108876124549613098297569029321], [-17920832481084101534099635911485993220628090, -224704189478348481511147690763440938816], [43642522252443081820134558527742823770076682, -192544381044566637737983490868720182448], [-834870377034629994031586061816706920918774, -341514809537014099187901789976549086516], [13597144422896996476487402779541328361816340, -201364449310537739842558658975191785528], [-45287538713517291932288278462328916156733170, -137262844266106257953649718028517807168], [66913093843500620895420395272761081553328922, 92659937802437230543966963148442495984], [57910369688484745686426124944023676330870482, -390075385586755719433323413108116119303], [-29776812174747309541681527395620614792408678, -723808787726630730456931076006442970296], [-8683182192172532094498277008715651880145178, 331117036073154607945657827839638660752], [-52895229954811475329086393827476150745278474, 415280678794503276084567042292678985979], [-16327660026674247110849775885564907982531158, -61119414484801612177161917729614775940], [52601259175603808518320080067191239121660240, -143523049926474585341772102075283048080], [-5337990382797691671118611382234374782219254, -269433175923655792952926006889213132544], [66212232096798279339729177464169083426494922, 324062209988958163408333700062626895659], [-23937054044620819940205108276638690455905834, 1029802763299505108858351417906560894479], [91797611716399965003872206927880317546483550, 349895079525102363464002907649225057912], [31306867424946128762690044918452089593140182, -676768191985677650989191887032946724156], [144813497653966784959548669315186021808471872, -281180456409213218469352255268080583550], [-23106603090404799688101678215700478138556598, 1471611406297690002622360119280670207703], [49766938146244668705897361136237447750764292, 1162009253762310200232416054659728052194], [-64161343483113114691687099950275684716423674, -1056032780508130213335862763384492301171], [140056048459163010386910203340412379846852702, -224426289282439008357113910570990775296], [61128882377736078252623771011992508022267486, -497680185836442398518314322073713677069], [-125164811080293428173890381245386570379473308, 1130413006493175746476298531362789987230], [-9783509811461902707371014018405944134684518, 1741440778280127369754328803516529612532], [-222703302298354658490404538592258819890787254, -205282764177324078094256364853744814484], [-86847921183859062988303786903348072779308080, -1408035431906597758325166783225700609380], [110887520911429199495621734576239750543347670, 1645079635498814951289624669643006712988], [51802502844345180566317682633692520177371722, -448294038293621720542427499139824653784], [254504055607598228137862990705790604241685486, 507931592103385961724294908192826401439], [-7865751918634583119452317973946550152603038, 755045590097890734229757690138939196], [119483954761424894794313638650187711516476672, 81076712179671981775433075282345744838], [-96892981348033412379615987371106550184737678, 1561296015595060693632397546091936685504], [-185376387884644165216348546596319734857931990, -1103969838647630651055631020416059562952], [214371351692991215733845278760947684515102452, 1829802181470901919186722149375397577070], [153277025598809600650821470772794506824570042, 3300769214179600124101802953808108570160], [272007205756483873768002940305211811731900380, -3057634119501225638913487217762909758872], [-511442070597251265503565351196227233038360954, 32555705035865370627008859054603834603], [-496122702313820231750614159231533975992212798, 19118109465577574759783398250302170528], [170480285371596774786212692889541158804066466, -2889619784677638422869922426077363759224], [-157610097261290982675927607157986718241748840, -2380183441949143681790395586026297341252], [232111621445172418595251378044537862896963642, -1648806545168249166488146757593647939855], [-98266081941257716805362203401325578230506928, -5906823633095909552683738402919016932610], [111538220885706503773267882408566351627489506, 1488132987215346801062417312964082808052], [381530372161707171848710142021332348345534086, 3637758805112486569436126739278840441583], [-456633099023305838093789856023206977836331010, -1334537959094788496437787343622561245864], [-49153412716875395034735872049140101150700280, 1158855418677364133313225104908178861448], [22164017591774871178210943770696039081665962, -4947132912826513815265862784676762220424], [-99771477333764311139638951912050850662470838, -1536386930845395119481103888047054078249], [-124151217042651849474178364621717671819722570, -413521548347951024765942855931404296560], [-299329270133655028064301521340765511088347998, -5730373799583864392909811832214104073808], [166048127728167439664442046939325389160847962, 10091806341739515865649121310134508051881], [-60411461405319867650084884564826067346869714, -1520508203967648410207041135451859690255], [-674178338613083000790673223392325924605770790, -77614393988607739313994102027644785560], [334987497144521758831322219815637314021443300, -9821969505969238391073751614405140588880], [-26598767503980181557062976614516006408814348, 2186451511362181435834483402100874873894], [500828260597325994999178554581483193064515482, -6805123165637498039385420109276380145608], [-477048597977773411848428704852353826362734730, 7245114513565692506416556129492610053820], [363617926825471201729034454917547525970965032, -2995188878127342787471234632806301115914], [980024011839297157519257410055365760370096946, 4374118476193832377584495131173176848688], [-789493460527417598175446892211336109412087558, 1285217135078909708889584058740537285088], [-5486838994312355004585734453724545767554238, -8722913206955844139633480580852113689189], [72573312865080370186208019012130941130537842, 9425534106215297632930600715171073173880], [774128577608882803540203334475929074351506942, 10320957695092273990413227599341547192476], [-154440604126961818032912054391866679531748620, 15579876198261873454311050134872717687768], [-944520325459453225097351772707971499209572958, -3645623825997046683347218818155921511615], [99348529213534413657727616163651380657782806, 25825636264830439169513084622423128434425], [28723932021305923281916931205874753158318642, 1461539414904783585358751245908573846300], [701624472669273100217738269789017630594593642, 3373558142413801772266591963593768294600], [694215294810777587602898647967546883222937506, -11696996407273084953106804823365149043104], [1028197536230888325625707880072480706556584360, -14873287342464739505188930619814330106500], [2310054387804317014115062566888770210065001682, -7010547804521953104493243787161317978963], [-330140358326733669388471406369698822855323328, -7487742674659678059752089862231906561034], [-2612894573220430503662364459306579339669085554, -8970961307072596823368700833191709105341], [-1814767258041397134952882825601111173951092790, 11412784430296475901793471155670264310424], [1501633164132121566553818862846644289921262682, -9420289698548169159881688818527852344768], [2795760959669600205910589069689553635024419782, -2655649048567685143864318062793457188044], [-1718907473018122306777777466111438992128901954, 22841397488947250038896888776679794894253], [-1506755830504604389400956922177777423657019958, -2409561889585897194355590628158876873120], [1817631896676200368012940538802699367972671386, -12433387042007890837757721888099958908768], [-2242077997506176020430109456656227010631386670, 24104912011037896407597113255152216203672], [416827906341243786021524559187196853635506412, 24489525347616775305806824127870131766742], [1269636430005893133353042379100327989244832682, -36475465107053171005877023359795534307848], [-1819848872331022447863495056275624621065223500, 24781810729657145921167806391531066795992], [2590105544988940986705796745836005479196721922, -16546955300633209837838147703693258134688], [-2082021673801811292157299170955559687198408714, 696945646480399036514168355163006658727], [-1586186060797513407715922218671182221411387548, -28742635509969537587911737747602070332610], [1445283429287461929226826227658236142449678266, 30831904526494331306253496043098268079828], [4091007655239704503187530874007915516941013632, 2574436466397753202623659394272436977562], [-3238479252254046611862198582181723640421751654, -8462896235936204018870920503237827518824], [-1406975610218978734918900647166749075631231638, -1005250213241179010231361920477265425760], [217173676276641489331152883942880758237677122, 2475009415815788732814031107720146079339], [-2733701920058122191166848222094237930047020170, 37282000526639431727633849133315937858176], [-3168979458755362743906930985378078086036995838, 19522190290675748758452754481199555880356], [2538676947760194215714050828497152419532847480, -3055938019967110923623444858300951991876], [-152233932164019496327820944001480651080671528, -21028271754514477764020525060687060283990], [6055095463098510607079279533807406089926198066, -7927541218209716318928868605077802242220], [4740355764708032562638318962480418107737605082, -15775430574345840845355146856085563358893], [-4308252943211420867294234943097833236870848654, -25424233492894785486098431808874424275492], [2895942486109958179119079898276135118653411802, -19042572141559282902972802655638572194784], [-1184405612969521177452786040634727731778761034, -51554181396998695662556728808667103154359], [7291743094071540809116715539528382322746507940, 17369784214752587708127865111160215966860], [-6437660326686584131178305763146912867758107074, 32578476648784983346984528961809391337183], [-7594088733883777980565303832764321095739244998, 28000674144951756607107097315059097260228], [3014785816619632517342941752434735178524020026, 14832278149528118826098469293366580105060], [-873683300365292039291780460046340256313532398, -18325734507920037481770524489972266752897], [-54959813352458778736370916435385868158197178, 39586162308942408406158078446468909097804], [-4305212615863527101875357420213880087864593248, 114683965930021446787664841756079574151642], [4489007412343199448492245792876102800507386140, -74167833744714732706046814679370834799576], [971503395502089962176416171221202616676671602, 60516467190801452336060307878569538322843], [3595004037873097939127774214738727004903767170, 35677132776684139974963377186284911124056], [10135660436696742922889008073769509826042361292, -51596102964405856573767310600901385300738], [-5238000521793684906763443931402548273333358294, -103375359059618496915020915416433552184900], [9427579668019968070697110587197539209653142900, -17196213176543232313990458036026268910056], [-11854648293236582495444421615070406891993614668, -68803701961284166548204126709686649223970], [-2897529095255684788987223261409322005662740078, 83699802312943026677855808487036417286784], [-3904324407424661983777816518702929333849094810, 161280927476541960426350789701313721398700], [-4291225193729893453379054113629668729047922254, 31203644158629351210828123531508824357864], [-6583903984896121217020328684937139760524863498, 170227419732471635075581856907185398184928], [1682446584803684582709424650455386517052791682, 157611700573176155823341421985887365530152], [-17471438767662449536353862650849470101570426714, -88405576690567051115084347897375515842403], [-10054212630086126331093154423935576142188512814, -166963463825003732337211904011504317526896], [-5759687772528689347226123029370115481607396860, 63062508279004629790065959084870525252880], [370607621500088742793940516383271053725170922, -26277379343192125582786101840998087346261], [29376845742600229127762797302840719408173687772, -18484293976230510276012924071816198314926], [8568325951813730233322211179953985639880284666, 113681765378073206095033819975365116367192], [-5763774633974085872099396691780172863440779918, 188734716075352279279809864200108131751097], [-7182372192166381812945265349313311905948179594, 201280984280568591879917667127755836025561], [-1562791608320056641617136361721311979396374090, 216021979926112721921359268077483468836060], [200426131474552200607527275479432501238620722, -149976040833170749235310979118028650181816], [-15741459524648944287789603515311980713719838940, -14883603156383375951905584364676928339372], [-7209103299848368047724976659747607987884178554, -72324926290352873083559693729167230223533], [19460413343693101948177011766997722937117302812, -98629328837806879384203248564258795097138], [11074568834130987380759544259391885206674504962, -311751431858572465096790748357879399570624], [4187539168601089967420235154859141226635557880, 130778563519323970922519589965882063070180], [26104396901947515958484015552066274450293059530, 112057236402848316885209715357524634311808], [23716457399434983831450756944846467277484234512, 62899908344930875572645094154525529007590], [15431911195291712887796312467117094366466427122, -144994444782156364451269853766158351608368], [-2384892630817473713617207964019339977574170230, -119521564189994578530071051671738775224824], [5975356638531396854276112775611865623591251322, -346817342081602595984423045994903821805636], [13888047067044821848450867178542082458674074006, -193252219632756808177266476380955009586183], [-1500325508738236197342373443991306490835081534, -282582531605823355552313900103850476460608], [-7660578140859363999034233381208125597679525470, -43120800684089940578354398014239898978144], [15304836272119800171869749471452988449884024492, 129343985972414389287694601431612449393438], [-39278848348491972739202251571211435241763987854, -126442286804707450646524921127691090202140], [-35979839739750576191252252366380169292969364878, 222600222575807606843266826431048686148656], [20434560208888348857936474526618648667870439842, 245733087140224883319063045343316436371565], [-51019638992643429272822394042423183477199593060, -120237924786940568505052962034585643744052], [1992090656000461559511700781744680872277642802, -188102215829640517922967505077258836443752], [5750329123871627820022411154651919041337080346, -290497889215113609835060409658840108116472], [-26890154101316412331257495085737112781269743798, -88575443298729968124108833708091997072707], [-4101647292391096623640470922130524800167662288, 58135719337075652559377438227225282995978], [-21366199133450553312344065406600097953044501054, 647726209089786100181207012833495915355172], [30324915015944612499572616572626940524206320742, 273499883600371381729736577101009125155336], [37613341829546683492923691530392177045276874720, -492716919454255897687626272032317041457960], [-14794123227560634420896514690665234826698251954, -205953485623943866145785849992858161601327], [42829469049873503776939223116734906543887613666, 384312174444218475273039792250429089522396], [-25989202175251159465158319342557834057069510198, -289443323614691269709564015476293658832517], [-2829662463521355337844892464771489700385453830, -743553049861523411719059637460820780228816], [-2023030504027448396150378388714799206639674614, -404453819103413898266857920574598608244244], [13522623741931784071756603279962062249816992326, 496235609003357141429981472897592637579145], [54596253264433626289261344608868961508246425860, 311963951329174223199555089980257019555620], [1421271345774245364185350316258019912151768922, 916910036455576967222323023306300589845984], [60097877779366249644448257789254965727452295346, 404289961538425094781145589829081208023672], [42543404490147619659789835974989030926268630202, 675698379950322083913401771270974322358033], [-38370310915070281500628672675161737263461343410, -284566065960614419245000934532046420779292], [-79668632234612242168701294297196366776398597848, 27521253608876689209743793540881386553778], [55283963516446961059078214582964338901380096760, 520515927314845775105604550857393182535768]], 'char_orbit_index': 1, 'field_poly': [-177912, -1, 1], 'hecke_orbit_code': 9007199724503050, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 240], 'hecke_ring_inverse_numerators': [[1, 0], [120, 1]], 'hecke_ring_numerators': [[1, 0], [-120, 240]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '10.28.a.c', 'level': 10, 'maxp': 2999, 'weight': 28}
• mf_newspaces •

  Column	Type
  ALdims	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

  
  {'ALdims': [2, 2, 2, 3], 'Nk2': 7840, 'analytic_conductor': 46.185557483805084, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [10, 1, [7], [1]], 'conrey_index': 1, 'cusp_dim': 39, 'dim': 9, 'eis_dim': 4, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 469762058, 'hecke_orbit_dims': [2, 2, 2, 3], 'label': '10.28.a', 'level': 10, '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': True, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 43, 'mf_new_dim': 9, 'num_forms': 4, 'plus_dim': 5, 'prim_orbit_index': 1, 'relative_dim': 9, 'sturm_bound': 42, 'trace_bound': 3, 'trace_display': [8192, -5585528, 1220703125, -26881836804], 'traces': [9, 8192, -5585528, 603979776, 1220703125, 45769097216, -26881836804, 549755813888, 20176277678173, 10000000000000, 143740288335468, -374838438920192, 425308381788102, 2710940158885888, 10146083984375000, 40532396646334464, 6681364551758226, 201364589787521024, 532254106636691100, 81920000000000000, 109842772900221008, 3495399077188829184, -6982312948683377628, 3071512120471322624, 13411045074462890625, -2692381700589830144, -89283751298201073680, -1804009530149830656, -26057757232808972010, 105016720000000000000, 64079104901634815448, 36893488147419103232, 1084944057566163351744, -378036268430006403072, 400246228999023437500, 1354007074730747625472, -987703039883954851554, 5666409518834220236800, -12705465732007359561904, 671088640000000000000, -15149337479201963665302, 9863265465742102626304, -8827063906753261149168, 9646247461225708388352, -14616441454349365234375, -20179180495843385769984, 111594255111887773270836, -25154981819467471781888, 167299904677708060870257, 12207031250000000000000, 520719384147446634976848, 28541962351477813936128, 300330320174543209438302, -627821897253170118000640, -256575706211118164062500, 181928114434811449311232, -1424768382188793206159200, 210492666738415258091520, 443056034174127793436580, 680892170240000000000000, 168101771611321262304678, 1669578868622464251265024, 3149316348073265634939212, 2720083094132915643088896, 3844883233672487792968750, -3455825954049454216839168, -3523566238154064750244464, 448378785038363749515264, 12976001982227537903327856, 2049019307960000000000000, -31544603880291666410254992, 13513348870466537296756736, -10222732513042515682939398, -22970438132647801248038912, -8323085308074951171875000, 35718968455723200439910400, -19315729944095831187248208, -15765469973509183667044352, -143502833237962370375166240, 5497558138880000000000000, 127572881298658101229983409, -70431375105977767817035776, 151454670603188593724129592, 7371423707943817195814912, 160487328140725861816406250, -246153343382869441669627904, -21552465969231732641857680, 234572261296790640028286976, -84801790916321014336283910, -52847736494030000000000000, -1487675213492509595781913272, -468575090078631768298094592, 363824802843394270792921184, 382929062491295368645214208, 317538938993545776367187500, 206125689167061605874139136, 1466928433453302566766065346, 1845423955521133174021103616, -2397411903922276889582760804, 900000000000000000000000000, -755406505120181053050105522, 4915954287095844622030209024, 551361232260544202675041092, -180682677380971630916796416, 2215040509659839980468750000, -25641777687801369995526144, 4324640544803368091589058776, -5991731123280799298245099520, -4209712128633731676599534250, 1012058417318520000000000000, 1367852981656973247708995408, -121065030213528885116534784, -16510998036485501657329016478, -13960154084866568320168755200, 10654649122462392055664062500, -1748706486281593640598896640, 26072173898924511314853503294, 205836880753299299680419840, -40170944453083403627801633736, 7047552780206080000000000000, -34266463189648900850274970203, 51174020684792660440822104064, 16610816217407512198516206384, 4300275936085544207564931072, 1818989403545856475830078125, 8421620378602277664126631936, 138977045434783454739192682596, 2475880078570760549798248448, -233152733958992119104055405264, 11033001262545020000000000000, 76441056661315291337808695268, 72809363206815827373972258816, -377465108644897306004666295600, -130379540181184833155027566592, 151290318834728393457031250000, -25369584525136793222888030208, 377335024949546713939223921226, -157269232257341365468728655872, -227037609557942769954886372140, 26860069748408320000000000000, 171019864385565507299414746128, 211921676174838731837440917504, -459975581155559761168106693496, 90865876633143579016123383808, 293110713634593281140136718750, -10296081540471688025494175744, 1691509632621585463682720734056, -66283628975958901915077574656, -1089921150487550154282423414450, 68201269531250000000000000000, -234887878657623982495416997632, 380266305767751124417458995200, 695150624708160536558532616122, -895455822647397233508636033024, 411026485449348269130859375000, -852649371865942339838915117056, 324910602609825388375724091846, -446249878979938282831204843520, -916456575787216226596600865904, 45035996273704960000000000000, -1123434951229480408198468622592, 2154961175197108001472228564992, -78121999986420772190156884008, -1016654828581867408147693436928, 1115644852696924653984375000000, -1285557228366381190512928948224, -1052467675679335513798251809364, 661912540736383424222677958656, -737195014946020524261483181017, 308437223543626260000000000000, 3998905000004638524871887735500, -592374231237613284015999025152, -2111653883896603118469803896458, 3269278601200219376276583874560, -40057058340311050415039062500, 647348708985741337537573552128, -3885378268984149479646497086560, -792963478786896162696888238080, -3272686757129953050352044194580, -980892781723893760000000000000, -3031964306090465924285137328802, -3788232084509742773051375681536, 5995615444816763466684050319824, -1354201879527006340937391538176, -355492573053882557561035156250, -15101288916657589009111591682048, -9903396803191202487832743636648, 7488963689484981359695368290304, 30981864062564804699030111398880, -8236283318462473000000000000000, 11717375297381235053287184424168, -1688122253845115116234559455232, 21184378910594759060861284087842, 26515553466065652240937341042688, -6494923156769147061347656250000, 11227306550229274088645798658048, -68409908283174183999993241036434, 4252176743880657223316042907648, 40490739694118637626274145950360, 819200000000000000000000000000, 22100649090816619103606235354128, -12115917509128984468297268084736, -33890363453243676371774420721240, 34944886332914752173918935580672, -32278856923333548818210449218750, 23843969438753924527205546622976, -86866962385742190901294538985516, 1915418669738444814456918638592, 8571127114408003075696547720400, -23687309502505890880000000000000, 29043353866178974281878188877748, 20154826611669876504318525308928, 17557165238684999125051141992864, -10391483213401887878738737692672, -38640557633184796491171875000000, -42132414318984967017768901672960, -26402174693833431201668798484288, 17477477604080047022393040486400, 105699378974794183372739462356496, -17218504173825884160000000000000, 90260057333104969142421079481868, -8975007209097995033500331933696, -39110842671192169142842506945588, 12208989089382198417470361960448, 30064996597428619861602783203125, -94299986601702803412224857718784, -25966997987441764868435557967664, -95614587591807745596261715148800, 230859048608221133221675478907150, 84153513503688315720000000000000, -338097867847317299921478676281984, 14125923745145633130788715233280, 81737372871560663175338760725082, -25386680709010508331447716691968, 105395132029911115344770507812500, 29732987141770894408355539845120, 48467460701573980067045210031680, 50411238583843622453396752760832, -558669319010765866009540709074080, 45693900051301007360000000000000, -244588350516441372919664171468862, -128218719875830969459507292299264, -524103227942282162302910101270568, 11281118929223219452312962465792, 422387746757799482060635986328125, 175038229813730248564790111895552, 1109048040102959597385576293389800, 112043541231658820783006323572736, -566369314147915130950924642568784, 14901161193847656250000000000000, 1015631586369252181826408591097468, 211347042495825445531009226375168, 421775810728106832467296018142544, -525640095629012576408730725875712, 221330014962366967786464843750000, 182541686432865033815525261574144, 1942456551798941382572626910782866, -833958094536743474428624693624832, -179963834668632291631015427389656, 258025746024407203840000000000000, -2749962889870686446862625410032370, 536886034757584314290139421507584, -1248877679447720775060822783986988, -231916553957975072312086235185152, 560203605555755588196657714843750, -889431539956021712328697534873600, 1815790106691507843527641871184720, -236462527471272742371349701328896, -1390183805809055506851883813371690, 830382679431610199200000000000000, -420912523587838694755211362028712, 30090190905624787648749917700096, -2446817814528318789134788955847776, -722694100456783295991170834153472, 214189720653694868087768554687500, 870804752289038258209274235715584, -1561655883601562086794448739718834, -777418903934917549748427506155520, 4399210870552587274170952630286456, 137507358071261757440000000000000, 1055334623764341334970483841384858, -812723622672773314988719451406336, -111298094839503539951935231910688, -2116922531736365721459170463449088, -671844068313854152692382812500000, 2536960543849648699068855786995712, 929818151058066138751854060504312, 906865491532692467998975437307904, 704175341447739467752829962722027, -484895488566704040900000000000000, 724497506011905597353302647947408, -686035965926148411184247180623872, -4573230658412704437351460431859458, 10535799619719607049966712377376768, -3703222508123633818543432617187500, -1541520008664275253853673612115968, -7975148936419615580634069697695360, 1100312521901181092227859847168000, 6607431336387320891904009925339896, -558552800000000000000000000000000, 942930954176981692058339888851248, -4162074773454708506058847640354816, -4103600032437949222482694751048976, 2397059396315418279966687205785600, -2006684862047581353769113769531250, 5158704802270493639815204748476416, -18285230036329918867650217243798944, -1296256693879054738111998524915712, 24688762356000701646334363780074416, -2031266990050459779280000000000000, -7275545953390428046651612919664912, -1058002780348311409462700700336128, 24875543565011702544523730933789082, -2406835755681992027115188959526912, 855196970729210956109877929687500, -9630312119381096350624660177551360, 5623134438221450801886698439632886, 14865895595179064405998382305640448, 2084300143928904284271712542719880, 368934881474191032320000000000000, 16205645294853033351420220593376848, -24445349192156540884016215122640896, 17308576316503103675682812654009400, 8561271141159789897941189316837376, 633758875411900877952575683593750, -16883730392178852512472021716762624, -57369857138054923799113716356311600, -4726569573320047607457030774718464, 4623967489103909947311957860318304, -4490406901372554634560000000000000, 4142290638352038436093330314060828, 10163950891674181302583866307903488, -35270280528681181127701211096598538, 15175073904266876517745382117572608, -590863068093991512711992187500000, 494687871102777347834804298579968, -25948400869820778882314123518224414, 10325771899716712864076755978543104, 9011347021843656748720270890511056, 10770122277919344721920000000000000, -1302461644109905717167922223443104, 34958939566934332252989472967065600, -25776542836268408149940198011729320, -16519071244226285290762991940141056, -10533562962158512836012714843750000, -37743936961673511774939477623783424, 101317361188412797806661981457104776, -1446361507593800530346787754475520, 29365292657388729062612716023518070, 4039615629443359375000000000000000, -21073863693103105621660003811835040, 15741877981538786698131266825355264, -35483058221297099692740416505705198, -34991369614499313130564633177620480, 25714126119326288831368300781250000, -5690951853559822331435727181578240, 108546977491021710146142983241959712, 804529902442015547315194514472960, -161635161421865427884526424262467080, -3546551561085696081920000000000000, 109168944574959764123962518995433549, 30469821419489317763608338292916224, -5780997882664341282822264308384024, -99836193578439791482023391430443008, 51832650620510577174825441894531250, -83053908991376324254812437276131328, 132557943897300106743145995433515876, -31445541993874648644796341433663488, -309926203974681956425314096097142094, 18992246664280548388460000000000000, 125402940138525284322346553410234728, 24415869213844159417021319899774976, -82211221260606909004569157823768658, 76048750272960141330992644749459456, 15118843293748795986175537109375000, 25697934376375842078241544535539712, 191854318640894870639136396477931620, 167119791367400162320830407563018240, -19452557532533832829190557665889260, 21309677471622160384000000000000000, 18287293599749733414847441149568208, -53288020976070803485187057964220416, -274366764959516693280833709277805268, 13832860841218610588229204394901504, -17454166172460762161652597656250000, 126359112513761935471191902291378176, 283179036420116807862947948550261104, 98443900738350732303954799119826944, 136299701095675987973690090791546110, 81370676660358738873440000000000000, -145392487200057870834569713053589752, 123844305253409775301270575696052224, -283714860272681825991091149468977856, -166174390254228031344956044839370752, -78832337262086595160353710937500000, -160887589412301146353352511540166656, -96740319286208725232791459484066874, 83242941993970506414150759701217280, -168149920607683980872010748635838400, 60397977600000000000000000000000000, 259477754440724781247710771363657858, -373514652856947717721284433764417536, 118142686402637483332321106633726544, -50694472416825533944516316661547008, -498271732378747437453431395263671875, -398276153020274968839824986740817920, -795029330892732321411577696455893208, 329904107682931991704956701283188736, 92593187011744618504537921435661370, 74277520219441697381220000000000000, 14306939511671870991839151504991248, 37001225950645273463307768837439488, 722641071862636953918924429036055920, -57964148655157142560145301645262848, -106608502813934269558125498046875000, -12125409223515501367053485997031424, 22873335797695217526815161592475680, 1010513431766455086115378347235737600, 617276163596513841257515399120358940, 148648852317252887511040000000000000, 113839511689327194627699476364678078, -1288425492006911233422618072308350976, 505731498974801245896687881796248292, -1720790571568896598043444606140416, 9956009018060901761054992675781250, -226462541111210428522689851223441408, -672083246449712557815167801715939768, 290221714170095136000389689286590464, 1392844406902991608771150792075185792, 84523444309390964844320000000000000, 1189623124559864668477384193896306008, -402098269076818393917225822354145280, -692112982701681716674744218969335118, 210240828452794388548498989742555136, -1230455496278595933063157324218750000, -282508998719631604897410126446592000, -697161454675217876191446546435589200, 1578556025523385729900284856632475648, 628376227142855880983093699001474600, 67918090687883803361280000000000000, 631510345130685923435180848344085029, -764663204174778652570975292628566016, -1625755983463206983784943145974221648, 91795059718012312332141284412096512, -869279255902821728998041979980468750, -1857630693877409884991404275737329664, 1391402591680236592349565387653898000, -8124536647755600911357156970725376, 865296794313269856721456903959726930, 300056621115686035156250000000000000, 1753410333466660322066544522256416696, -1108034321734772568693467570075860992, -1364327616808540130773132801040220256, 448591754046324710316412653566558208, -1573670371252887103461250498046875000, -936850081900354991544913449766092800, 856233625625810619702105179686865706, 4329421203029301478115283446565683200, -866432612891121126747886649958825120, 715021398927048013578240000000000000, 4064089322440208682856402875664224198, -317026697338431471365594324420001792, -6282622896461907936147331167471419748, -117353705763789333330216233163816960, 1690152921421651480199614726562500000, -2992855564684454661537716429644283904, 833253269559773303177401779171470736, 1749673972367274776094964932480598016, -1315822355278132429976979542873667696, 2001081392033939035104360000000000000, 3304633622058972273067305245988712208, 13813479236657380253548538505461760, -3287936530945456808038006086628045536, -3406712822783942424117115767341711360, 793120423908071368932723999023437500, -2695826448053528514715246457367035904, 7605234461877545981550862114776032694, 3036408522568046865224244295084277760, -1969102178935362021755164859931535920, 472953261059671714693120000000000000, 2697039431221232896587153885380991828, -475149882862979528954323122503008256, -12806543223678584097990014909762197536, -2299583417955154294910587337957179392, -1085562400777893174672647282714843750, -13836416292727648318836254905407176704, 5411021814265765621152876427087447596, 3434230394468937517721310629824823296, -4323921384277608596459085390253743184, 5432526821164945464140730000000000000, 3128045979679411719182544952187361228, 1114733006462995168708565096019787776, -4524043225824723542549939097476585940, -485674927212540956800363815677132800, -750351276474862903695781684570312500, 288586632957237478591462730480222208, 10529243993232472333184089003879913952, 12952356305186547490665964625063313408, -7663536642161006382997482121572230340, 122070312500000000000000000000000000, 8961070644218694431656159334374421328, 6509216197765531235460224669734109184, -7393293984614323414780866012739532268, 565165376647248761852111821371080704, -3682802417113490010329575510253906250, -9955472301671291065220833765539053568, 3710763756690502682946170148487849464, 9326591641204703733542637206130130944, 5766499507523769007099547835845221590, 7746006357007486241106720000000000000, 10375216904605367756743497801788987928, 166153499473114484112975882535043072, -32376984832332235788021794650521736000, 84797771082677483228593323043995648, 994756658597000351803729360351562500, -15646615114482183698025856040326660096, -1167607591724651476445982529569386928, 31153835513683204058899336816405839872, 10135317016235551737665692782951440016, 740412181239962041057280000000000000, 2451914882741313425955097931247198378, -30013484823737386104156992685546946560, -9862010451204154543903513024470479568, 5129872475500501947509381788757655552, 163678486496539425849914550781250000, -27114577645040300804866956075284004864, 17208808704191281744132617465865069872, 4886153653372807232287381456655745024, 11719736804399443828067461411116804033, 11928622539528488374807020000000000000, 20617808734836395590717826801671145460, -25331254640795637602633533796804198400, -22455124076671025916302720168013534756, -5292452805604757015122365116592291840, -10236922693094342836167029326171875000, -8749622830401668327063435882673471488, -10479713513936364094262831057332724640, 37666903820639743832197231278522286080, 11099396147972205134033514181390849164, 10152921431196426233446400000000000000, 45375538814265181416984643272442438518, -7021311018183143251714243463198867456, -9435978940803739947157962509932809616, -1702523997633909637790914506456563712, -26190214735401751550571433898925781250, -43713245737900025650176800833997897728, -11043159639714885235519812256882622544, 25322524871775737287394282395102347264, 37003353827248441325078827927032427166, 5208550508601708984375000000000000000, 32514116540938762379257493153521122600, -10554159518942334696815207619816849408, -67465323182158136936338770018451901760, -8664392137515718148590274375059914752, -43133355671246094451419982285156250000, -15236236062709081468685755683396648960, -9722911981852628079141755598657670314, 86184097914909639837630518911849136128, 41310444604494917764538493975711384576, 1802548767776448163348480000000000000, 45492900426357955811286023960584500096, -43807434813303962947819630332536733696, -52917658679575782717920011404297228168, 11476948820349359192447431477498478592, -38959830685975786673279188571777343750, -48345143148070515318623878796333809664, -14192005964676723201226156401478766404, 14221822945069292676811292640811155456, 24057599269680646768264043411199235290, 37264517969600768016344000000000000000, 28533520799455747450937508729493046028, -30868438719089422856102953231312748544, -46194489645797471263758555555456197856, -19922234588935564906038607813269848064, -10404457075422074836492538452148437500, 6097905757214410336666277971190874112, 27964078436412868045869927923765379186, 59796945790946589523095758482010955776, 15101784777054828960375445104643009616, 19670327018246866199347200000000000000, 109192845484084025056109727641802087888, -70566061961059178069930230038140420096, -85401504244628779024022998572494283096, -690958335832425007553317172796194816, -24736951014391963484039272834472656250, -110659178353847150282661398095065268224, 60722411554870642617004700334930038856, 113515289890291942346660644891744272384, 75096174452735274362038370683212429600, 48767644300137759560092200000000000000, 104380304034961407630284508258760703568, -4448219042374085218208280507039350784, -15141654489931445828248963637477287998, -26097079769806295138020809461771796480, -20406396243487063997702111455078125000, -73143370258792536996918170510740684800, 154059717019108912405645602869669516480, 182105996652310071622870939789016629248, -117512330481758285771135606302711013160, 4576909721600000000000000000000000000, -58879714036397126239365784211204458662, -44678403335833269798199640776940978176, -148984856695271320828023627147708153808, -15763058704082990404423319917374210048, 25581652214982026996349425699462890625, -160449693826145519935759427550465097728, 80238147947514387966543884839659461316, 25519239797550425794378334934453452800, -213107626456979211933012700512282652320, 71465537644187411356823420000000000000, 71207426108004131379944858482131162648, 46650768733054985138073593374895505408, -215577344590684585217462110817906736978, -116473164685444373067337020155613151232, -72681209963650322799951586933593750000, -60093023020052300897507298365707124736, 158129282937665878008852149112378303066, 270044324937129606227184103607856529408, -121208955683365654894736840728892229180, 27583520512418291881738240000000000000, 150808004727235893642014788408026560160, -34301430319033439988146166897550688256, -122649035484977998592958755784070448040, -57220330736236950716091536498055184384, 19984014443252817727625370025634765625, -161823816680271760603353167082014818304, 299831968589350264538415773556470265600, 21804381442700817052253648981216722944, -14241982142860114303623357521040007236, 115055703392073811542452120000000000000, 189156345727761598986476557006328377248, -29947322438481136950912860799924961280, -388308428176615739890777317525264490816, 104713902942366810761576083085580484608, -343481254469909553720066655273437500, -61502359706409986689264470372233773056, 93391839449633364330680906903668781046, 200764219406186562759494597720949719040, -257112506065868463602450366759510455824, 3022314549036572936765440000000000000, 84993461124282753812023119229497801138, 72269627569750919788882230395521204224, 195128419637202220946068763301855909432, -75392443354905833504455515801793855488, 19850143242768924619473901738281250000, -224879702430523058554955200540876800000, -65503005462400340178217271900275574964, 144616996431582894064111586544963289088, -133679867373985119965380791432796361040, -4011961371585473632812500000000000000, 387178031353577586318213442095844893376, -5242678672496713447684220467556646912, -213136452129353725446163809913110184698, -217375735953651782072809949540650188800, -57895048238552387828950365659179687500, -68226550626243852759416050772493729792, -526644962363449328011457190337937654206, 276184357955131669350225132070697828352, 329740244517618810322182523550250708300, 74869658691937949822484480000000000000, 35418316730056171173206200648047497838, -88873312903535596594106503922141659136, -107318752597320374417685123135082911456, -86272285202656417486290239028027457536, -242617755917201912762399964355468750000, -361504188289269925357620967697580376064, 376593399853789488515269844983021111320, -70629910111560634605857004112362602496, 231769629862060463628427390098776539376, -30614697914042797269036640000000000000, 284703435227339761990748725795324968456, 44420198676172415068014000843243126784, 39682224472218164455222631580388356642, 293279526893319194726130780988259319808, -133043157008589913964271545410156250000, -49472319999490458703872575233157234688, 144054471611493531703557800394448428846, -187872710259263397779123446478779318272, 687135885154465978584162560372645836344, 20698871687326812749168640000000000000, 101393450963357417942606884432341749328, -371596191412616672582981463700585316352, -184585941050104198543788498559614659088, 268361971794231286134788131464937472000, -2976622276234083606576639616699218750, -23639381636121176946143890161721999360, -139947820048130558536999348997234030800, -39753561721229541561623052403058147328, 871031748174051799287905213834364990036, -268535681326124491329716160000000000000, 618599678959828765729689707478662482788, -141710693309488928739365957794070003712, 45826698739782063726432990296724634224, 431576001844518424892119693600101040128, -418230802172637762944067645092773437500, 219397573026055758892710093622440099840, -1169716826357935949017436310727267994028, 705426010414806739812205617766467420160, -413187978380243532835195457268208233264, -2688183680400000000000000000000000000, -502149232028575833180184423363060608762, -499396329275527029886961853096160133120, 1632536607799467582198473687145707400, 43442836471899693359987118399754862592, 243421774790490381752026976308593750000, 867936402897570601725257392877125779456, -2106837566672151818575772645254292418168, -260743321841812705585267541058351267840, 140843502576049236807765067119120650190, -170818131030023975075030880000000000000, -825848786727224868049654379087107624480, -53214878254876699564547345992510341120, 929693015300353852829637396401016609984, 70732187147680197613375142235811086336, 32975879196151516801883102666015625000, -219626290498835049582460485976058757120, 669905874263530592339940856972233668160, -726258510449819807000363647734832496640, -716820107291850023290459108199271588480, -65826600287290471890288640000000000000, -925146554537870093819704239794112424512, 205027969855842161096517534003346317312, 1973821361268251378109433156092890046704, -203471680270279449409485578219896700928, -38829084087623614087700843811035156250, 1068850237978018480854182617476004118528, -142387225825582598175318800757181308084, -254223951759800834431687635625106735104, 2219457348333659650936828296641654075653, -42504888143536260267029980000000000000, -1896974353374117335479858750893006513312, 402358941482507684405868463882225319936, 635243110094115304762587832558042235622, 347218752798745929683441908855846371328, 1067044988485835257208521557685546875000, -90878949761722252861105041250203992064, -638405145584800378490184727228352394528, -3181154742315531358392646309512789737472, -341160023399100941657100474411744403620, -23856702738083069227335680000000000000, -1366568350358531662526303011578495934400, 1140734836287043801287055809705420324864, 1693112468590432258335163594608312356292, -1013430344132681475380364567014090473472, 1120350567196609672003212796325683593750, 1901755356955359622303705870317696434176, 3508765640274379765615195186618008736824, -664605709203393173752429247458676047872, -834798545630351749349735347536228878736, 156487107276916503906250000000000000000, -2066729513549475547609938121253344194072, 502575845738585844110331552023923654656, -2082010474117681079662256572377075176256, 5430116621650316353727168466843893760, 855517659617123668323142232851562500000, 2079157701841148969733772677772287672320, -38790127843409178928665077766307600434, -3258432895991097583961825061268240302080, -1862570125699345318281925809780806652288, -552727617084166789660672000000000000000, -1073462747881942261072413610110704414982, 2882113638841512696852922528805038587904, -329615605456885291879903666203524023800, 786339745268916859343082412464408625152, 1553784692707205208282528964504394531250, 3489284662978110336247478857414444548096, -121245404269700084142143054030121225960, -113287966748665307399729242581078376448, -2753573662567216508725120023220590310350, -1252190370915388409432458080000000000000, -2378500320819025917155150772023446147632, 1421659603235571844928107636716352831488, 1020391276151624759853880363683000965742, -121193272390552066425495043960259084288, 95485307129673384797573089599609375000, 1779428671438928471308359252555367186432, 3930503849800485531099533757452424552352, -4182006280428994032405882370561446789120, -4866781075810119838647072343328207212200, -435866914818071369535979520000000000000, -349681641087573510091500205358892768384, 1399830981565507013145510080482738765824, 8168095322785261009510436479939143271200, 753451788365645523633654846314325737472, 2907463831391348604298799857722167968750, 1247503580722365213422260836489875423232, -1680268389092610406235728645159304220624, -4590911231228009802366522413633268350976, 191981341976393137005560615603789392176, -1901877887112316344483217600000000000000, -1569750479172671409799171751447623849992, 285358750809049857830133952507514191872, 3109817721367926562648995155208417169284, -2252857477387369749105880428982034972672, 1618525251224193626107706217949218750000, 2717287543392009252326914487298859991040, 138459725005021135407420797517340278006, -8945621106663033164515523523947816550400, 1674943080743096498045330898049567405224, 54975581388800000000000000000000000000, -9316514804698586118728628149385816702270, 3191973856042029032267968771956701282304, 3839532463589493870028408592365983816504, 1483149454147336140363712757932167790592, -1101017408057735488626719431992187500000, 4446418376660458900064659999615061983232, -4184662746710150151134478572641942380720, -813085460355355777141073675470088699904, 4062324293864387119834095555322641226890, -4863662564468962179957209990000000000000, -6203286311184204721615571584295904865332, -2274343791894300236493423038860477071360, 1091698912073303625203686924403046953504, 1867859994582241350069157548577347403776, 2620710568777763992256451516103515625000, 2345111624411034827233230194908078276608, -3376721048396535846656888431271836771200, -6739913703725966973790911954342838845440, -7133500036791846173590854489722883508184, -2166197419343449554278645760000000000000, -1354831412876194744240472485703685646482, 6746016102811753113070344329242269057024, 9014795237645016807146972081419512600612, 1600141702285493450562501328366955659264, 1616692628810053097820281982421875000000, 9027874472778309446000378730511303311360, -9437652515097593560360347215498185737144, -5829543164837888228257012640721691213824, 6213001179932354027000833514874661597350, -3726904436676238219185664080000000000000, 6824810137155513548721648285053223242768, 128541571010538208624894586776335679488, 23014008666837540455980907711711769443298, 4827074968269179594589109813531531018240, -1447379758061638729406264612504882812500, 575198603847519118918501326237833625600, -20069511201900375653137508956235833024960, -7873524618660585317906371539626714234880, 8220037235508487643023912449678916378920, -1589628431929575490264760320000000000000, 3458078108040758580132054654499848476919, 3798359321927162953928656005247740657664, 9825339759533892667041209572764741071664, 1949066484709278984742061041963103158272, 3543199467287748100035259594588623046875, 10223206969854079163646527049487645310976, -14779421872435963290142890176642377993332, 1352567518026134555225107327637407137792, -6558376694473733875254247142404302196624, -563317937299618725585937500000000000000, -12917963996111236260737681800301799273192, 1178241414228439145123176081043799146496, 8242967363807741949017091058746620006622, 551939850128703625933596170519770628096, -5060554823075067300745126120727539062500, -697360633726470270997526439349199044608, -9558243158353321726659594205459424595174, -7665409841179624870049076185806816149504, 10411381939694927418261566060519273342820, -2593123927089560394593730560000000000000, -23998096039651643734448663306152419045024, -1577464326249583315745259803983397584896, 10145725704890809015600223407194573579132, -2827458462524414769639938805800045117440, 2107797514040767594184343297780761718750, 9484543825113168936583134618333740548096, 5753429865781005476320226390426342574616, -1771819950832709373166147970525489528832, 5802198941439336218504369024208207678720, -6729499747319521194079984800000000000000, -5458418407939724394292547041816152399552, 1172893667595253720739379508548311449600, 18583166822780946391881387630225177566762, 6927791410321855456805229065631861964800, 596413357554411049932241439819335937500, 7093365248503922279952233886715209580544, -17874520710195407188052284814347845892074, -1881676729219387705039187649672647475200, -11776259132540370020516957241407674052784, -1155514254884713619773194240000000000000, -7086687102307641347468307221897569826142, 7826047661762250249532457158394534141952, 10900369736011300152908232603669309187992, 6057249912199544071902932853681870077952, 5561003518385794069271271991992187500000, -2029027807373150224247153319706758610944, 4695485289842337545819573374826622273036, -602302538194376911375849219693261881344, -3034642881826029734048365577063560724256, -263565655307244446629959900000000000000, 21684397222319779216680581418388964326668, -2624684221746431996872014372030520492032, -4819456683044825782221499722614533059600, -8531033095608493259079716524700536012800, -2568802547465816505653470018579101562500, 819331388376833797619033744834478211072, 46952501882405680862998648133097239705568, -22262088588207580164945753979536713564160, -37140699978210361747510014812867759479920, 2017627767817300000000000000000000000000, 12513222708988342453283927923356559127868, -408703597481171088437638195808662781952, -31294955918882511007467627935242921354016, -6328364976055495602609733914069225701376, -1953631955471416511923581096896972656250, 20242632937713063756274454531926845816832, 33382812762167705140505997951281868362376, -1742615736427503106475819752416079773696, -18348489232262676003409492017890560873434, -3202320502248388762516764080000000000000, -35904110760286754662388740541859915145752, -6416586355114713513366126350327558963200, -34845640765702837564383368901301746278016, -4323351408720788536468674276076865503232, 18210376732561736570429592280058593750000, 15492688496218501311299301566114797977600, 22780370127669549923595996602855507278992, -7397523185858311764671175704416777666560, -29840717450825603974851906796501645395720, 5647446692841182678042542080000000000000, 8265713036169002791754015024973129532688, 19102927966160484890367504390283303501824, -13373698819489141095307475965141556508576, -22689363832055589445277723165507689906176, -1471792220896415191224217414855957031250, -33439024587967522565490176767229445177344, -2851632602053210712770801712696996817676, 947974695487348953967994103324915793920, 44687617177271903199738809530570055994930, 26226458814902206405498643840000000000000, -4444909688001441194806792712868535738500, 5485302239754854012783617047428069326848, -46956515952487080156988741905158550427296, -7614829050644248318432412700081934958592, 1852848367081712861028553959169921875000, -1703671303112409778185991742591810404352, 21991581593757446157469920722301458932986, 45759091651987837134850277981557793226752, 20720119400825314378738533331913761904336, 7072947581657348971760517120000000000000, 10969607450090794608902853659506316211078, 9580446005537904128924301121006627323904, -4283857737961945099165991697754638549816, 1995346990410851672008692387112739143680, 3158411101135992361854925972070312500000, -19362762507599135264780124855889738334208, 31760515644010330582773917046548734603296, 3252596228647272814258047881867448811520, -40398469492152178290110310982150189890564, 8443608163050145263671875000000000000000, 33691130956869393090373563444312797549328, 3383040954194714256492349019068299214848, 61685884103349708034204967063352121197882, 1097890094941478090545198103590917292032, -10324674716892355508046642687802734375000, -37491663350466101037876490147716000645120, 70955402804973849353149291961903514560640, 63922316071552833591929169687320519639040, 54899363237129743729240356729233810245464, 3066465724172352325985239040000000000000, 10697232540446929317183655708527722751657, -73620748783018428263715470083360837697536, -67919401220481646398382358891463413751528, -16414046350792193859239025808776540192768, -27031551508816636024188439192087402343750, -79283935324104435751250099334734055211008, 5200696436656349319689411997192498776316, -8604612634401237416446228385919555076096, -47840196228746907006620502428338057444800, 7936124768053822984404673460000000000000, 66098789858695824622171639625884872082428, -35171972245939613479611920790392775114752, -77647870264684657715171052781864191239760, -25245486675766878485206412772023297933312, -18932619291554927173113822937011718750000, 757063075989066659867425083553939980288, -114554981937718983108357364678214505872334, 78342859876278669753442605935545517867008, 46728038061147546920276191614048511882680, 28345961852435606380877660160000000000000, 76888952804157740351823051342689054075150, -73477206271031044646940147099736626855936, 13990949362990457158551900166735834332132, 11746616759370368583620694807743381372928, -18687619815763743396041128673869628906250, -69679375725335126754511572167359803064320, 12272531209106934673373691139458683392032, 74426954092736061618443395034720187187200, 54010893264821581882199413871078419003536, 19152109173203692102837156440000000000000, 34278483434093934321616474274581744954488, 7519114770593784298327144879782734331904, -215175720893898835398974275454429018085376, 47486112016587943655876610985202699206656, 18357132576748298791228307915576171875000, -38008401276925712406527792512397136101376, -63916754834150138172822099455433817421874, 163893921659596754426091696769717794734080, 190480212713420126270011137964947362864480, 1000000000000000000000000000000000000000], 'weight': 28, 'weight_parity': 1}
• mf_twists_nf •

  Column	Type
  conductor	integer
  degree	integer
  multiplicity	smallint
  order	integer
  parity	smallint
  self_twist_disc	integer
  source_char_orbit	smallint
  source_dim	integer
  source_hecke_orbit	integer
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_char_orbit	smallint
  target_dim	integer
  target_hecke_orbit	integer
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_char_orbit	smallint
  weight	smallint

  
  
  • id: 7026
    {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '10.28.a.c', 'source_level': 10, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '10.28.a.c', 'target_level': 10, 'twist_class_label': '10.28.a.c', 'twist_class_level': 10, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 28}
  • id: 7027
    {'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '10.28.a.c', 'source_level': 10, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '50.28.a.c', 'target_level': 50, 'twist_class_label': '10.28.a.c', 'twist_class_level': 10, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 28}
  • id: 7028
    {'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '10.28.a.c', 'source_level': 10, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '50.28.b.c', 'target_level': 50, 'twist_class_label': '10.28.a.c', 'twist_class_level': 10, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 28}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 45600
    {'charpoly_factorization': [[[-8192, 1], 2]], 'hecke_orbit_code': 9007199724503050, 'p': 2}
  • id: 45601
    {'charpoly_factorization': [[[-4318634737116, 4702956, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 3}
  • id: 45602
    {'charpoly_factorization': [[[1220703125, 1], 2]], 'hecke_orbit_code': 9007199724503050, 'p': 5}
  • id: 45603
    {'charpoly_factorization': [[[-1989630297732814389884, 57185041508, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 7}
  • id: 45604
    {'charpoly_factorization': [[[2095731146965269696598831104, -169851430699104, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 11}
  • id: 45605
    {'charpoly_factorization': [[[-905631801688659554753842619996, 1039094991262796, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 13}
  • id: 45606
    {'charpoly_factorization': [[[484113260729787849637519816074276, 50445145609767948, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 17}
  • id: 45607
    {'charpoly_factorization': [[[42912845578304466383358529875408400, -446863730094123400, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 19}
  • id: 45608
    {'charpoly_factorization': [[[9291190312055532982143191322130414884, 6647307932323726956, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 23}
  • id: 45609
    {'charpoly_factorization': [[[-3521430908414803927024284579270383706300, 47997399844470169380, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 29}
  • id: 45610
    {'charpoly_factorization': [[[-42142951748749625343387857000851265356016, -33574730315678836744, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 31}
  • id: 45611
    {'charpoly_factorization': [[[-435294081678368824096063847046050026617884, 1349929187895125662508, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 37}
  • id: 45612
    {'charpoly_factorization': [[[-82414933848826694662779907236969286709967516, 1182957469635679236756, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 41}
  • id: 45613
    {'charpoly_factorization': [[[-123715536639787240060833423028522780771567676, 3918269768563513059836, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 43}
  • id: 45614
    {'charpoly_factorization': [[[-531493071544190319974633130984882546740216604, 32027326481691215437428, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 47}
  • id: 45615
    {'charpoly_factorization': [[[2888821217373286571793170628089273302586086404, 338645206816246511641596, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 53}
  • id: 45616
    {'charpoly_factorization': [[[-196808996184307145271339628864006597153967161200, 343725486206796714375960, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 59}
  • id: 45617
    {'charpoly_factorization': [[[-1064661601797092854297465881619664572694135046236, -228063235764015707336884, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 61}
  • id: 45618
    {'charpoly_factorization': [[[3933170528823805437934231129386634668090749676196, 3973383158722681594905428, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 67}
  • id: 45619
    {'charpoly_factorization': [[[-58318402005806673741275903522172026314861113695856, 2414614414513749020227176, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 71}
  • id: 45620
    {'charpoly_factorization': [[[-206530334258275837222356564292036740930049398542396, 12422599244545503708131996, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 73}
  • id: 45621
    {'charpoly_factorization': [[[38278248948992870165659571035612380175211649064000, -14197635994550588853149680, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 79}
  • id: 45622
    {'charpoly_factorization': [[[2056549591653868589762950402995773458264409115508164, -113637606793167338211169284, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 83}
  • id: 45623
    {'charpoly_factorization': [[[-56906637986842256382508505632118866737426374882319900, -139217760348347863809112020, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 89}
  • id: 45624
    {'charpoly_factorization': [[[276918030018182380671525632129115044063321038058205316, -1199842643269565667896244292, 1], 1]], 'hecke_orbit_code': 9007199724503050, 'p': 97}
• mf_newform_portraits •

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

  
  {'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '10.28.a.c', 'level': 10, 'portrait': 'data:image/png;base64,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', 'weight': 28}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 29440769
    {'hecke_orbit_code': 9007199724503050, 'n': 81, 'trace_an': 321295031247975610705880202}
  • id: 29440874
    {'hecke_orbit_code': 9007199724503050, 'n': 1, 'trace_an': 2}
  • id: 29440875
    {'hecke_orbit_code': 9007199724503050, 'n': 2, 'trace_an': 16384}
  • id: 29440876
    {'hecke_orbit_code': 9007199724503050, 'n': 3, 'trace_an': -4702956}
  • id: 29440877
    {'hecke_orbit_code': 9007199724503050, 'n': 4, 'trace_an': 134217728}
  • id: 29440878
    {'hecke_orbit_code': 9007199724503050, 'n': 5, 'trace_an': -2441406250}
  • id: 29440879
    {'hecke_orbit_code': 9007199724503050, 'n': 6, 'trace_an': -38526615552}
  • id: 29440880
    {'hecke_orbit_code': 9007199724503050, 'n': 7, 'trace_an': -57185041508}
  • id: 29440881
    {'hecke_orbit_code': 9007199724503050, 'n': 8, 'trace_an': 1099511627776}
  • id: 29440882
    {'hecke_orbit_code': 9007199724503050, 'n': 9, 'trace_an': 15503869642194}
  • id: 29440883
    {'hecke_orbit_code': 9007199724503050, 'n': 10, 'trace_an': -20000000000000}
  • id: 29440884
    {'hecke_orbit_code': 9007199724503050, 'n': 11, 'trace_an': 169851430699104}
  • id: 29440885
    {'hecke_orbit_code': 9007199724503050, 'n': 12, 'trace_an': -315610034601984}
  • id: 29440886
    {'hecke_orbit_code': 9007199724503050, 'n': 13, 'trace_an': -1039094991262796}
  • id: 29440887
    {'hecke_orbit_code': 9007199724503050, 'n': 14, 'trace_an': -468459860033536}
  • id: 29440888
    {'hecke_orbit_code': 9007199724503050, 'n': 15, 'trace_an': 5740913085937500}
  • id: 29440889
    {'hecke_orbit_code': 9007199724503050, 'n': 16, 'trace_an': 9007199254740992}
  • id: 29440890
    {'hecke_orbit_code': 9007199724503050, 'n': 17, 'trace_an': -50445145609767948}
  • id: 29440891
    {'hecke_orbit_code': 9007199724503050, 'n': 18, 'trace_an': 127007700108853248}
  • id: 29440892
    {'hecke_orbit_code': 9007199724503050, 'n': 19, 'trace_an': 446863730094123400}
  • id: 29440893
    {'hecke_orbit_code': 9007199724503050, 'n': 20, 'trace_an': -163840000000000000}
  • id: 29440894
    {'hecke_orbit_code': 9007199724503050, 'n': 21, 'trace_an': 467006108827766424}
  • id: 29440895
    {'hecke_orbit_code': 9007199724503050, 'n': 22, 'trace_an': 1391422920287059968}
  • id: 29440896
    {'hecke_orbit_code': 9007199724503050, 'n': 23, 'trace_an': -6647307932323726956}
  • id: 29440897
    {'hecke_orbit_code': 9007199724503050, 'n': 24, 'trace_an': -2585477403459452928}
  • id: 29440898
    {'hecke_orbit_code': 9007199724503050, 'n': 25, 'trace_an': 2980232238769531250}
  • id: 29440899
    {'hecke_orbit_code': 9007199724503050, 'n': 26, 'trace_an': -8512266168424824832}
  • id: 29440900
    {'hecke_orbit_code': 9007199724503050, 'n': 27, 'trace_an': -93224365905702240360}
  • id: 29440901
    {'hecke_orbit_code': 9007199724503050, 'n': 28, 'trace_an': -3837623173394726912}
  • id: 29440902
    {'hecke_orbit_code': 9007199724503050, 'n': 29, 'trace_an': -47997399844470169380}
  • id: 29440903
    {'hecke_orbit_code': 9007199724503050, 'n': 30, 'trace_an': 47029560000000000000}
  • id: 29440904
    {'hecke_orbit_code': 9007199724503050, 'n': 31, 'trace_an': 33574730315678836744}
  • id: 29440905
    {'hecke_orbit_code': 9007199724503050, 'n': 32, 'trace_an': 73786976294838206464}
  • id: 29440906
    {'hecke_orbit_code': 9007199724503050, 'n': 33, 'trace_an': 49548682554417655488}
  • id: 29440907
    {'hecke_orbit_code': 9007199724503050, 'n': 34, 'trace_an': -413246632835219030016}
  • id: 29440908
    {'hecke_orbit_code': 9007199724503050, 'n': 35, 'trace_an': 69805958872070312500}
  • id: 29440909
    {'hecke_orbit_code': 9007199724503050, 'n': 36, 'trace_an': 1040447079291725807616}
  • id: 29440910
    {'hecke_orbit_code': 9007199724503050, 'n': 37, 'trace_an': -1349929187895125662508}
  • id: 29440911
    {'hecke_orbit_code': 9007199724503050, 'n': 38, 'trace_an': 3660707676931058892800}
  • id: 29440912
    {'hecke_orbit_code': 9007199724503050, 'n': 39, 'trace_an': -4361597048598395237112}
  • id: 29440913
    {'hecke_orbit_code': 9007199724503050, 'n': 40, 'trace_an': -1342177280000000000000}
  • id: 29440914
    {'hecke_orbit_code': 9007199724503050, 'n': 41, 'trace_an': -1182957469635679236756}
  • id: 29440915
    {'hecke_orbit_code': 9007199724503050, 'n': 42, 'trace_an': 3825714043517062545408}
  • id: 29440916
    {'hecke_orbit_code': 9007199724503050, 'n': 43, 'trace_an': -3918269768563513059836}
  • id: 29440917
    {'hecke_orbit_code': 9007199724503050, 'n': 44, 'trace_an': 11398536562991595257856}
  • id: 29440918
    {'hecke_orbit_code': 9007199724503050, 'n': 45, 'trace_an': -18925622121818847656250}
  • id: 29440919
    {'hecke_orbit_code': 9007199724503050, 'n': 46, 'trace_an': -54454746581595971223552}
  • id: 29440920
    {'hecke_orbit_code': 9007199724503050, 'n': 47, 'trace_an': -32027326481691215437428}
  • id: 29440921
    {'hecke_orbit_code': 9007199724503050, 'n': 48, 'trace_an': -21180230889139838386176}
  • id: 29440922
    {'hecke_orbit_code': 9007199724503050, 'n': 49, 'trace_an': -124175335159331248585254}
  • id: 29440923
    {'hecke_orbit_code': 9007199724503050, 'n': 50, 'trace_an': 24414062500000000000000}
  • id: 29440924
    {'hecke_orbit_code': 9007199724503050, 'n': 51, 'trace_an': 41224319062757865329544}
  • id: 29440925
    {'hecke_orbit_code': 9007199724503050, 'n': 52, 'trace_an': -69732484451736165023744}
  • id: 29440926
    {'hecke_orbit_code': 9007199724503050, 'n': 53, 'trace_an': -338645206816246511641596}
  • id: 29440927
    {'hecke_orbit_code': 9007199724503050, 'n': 54, 'trace_an': -763694005499512753029120}
  • id: 29440928
    {'hecke_orbit_code': 9007199724503050, 'n': 55, 'trace_an': -207338172240117187500000}
  • id: 29440929
    {'hecke_orbit_code': 9007199724503050, 'n': 56, 'trace_an': -31437809036449602863104}
  • id: 29440930
    {'hecke_orbit_code': 9007199724503050, 'n': 57, 'trace_an': -1576241472518493550388400}
  • id: 29440931
    {'hecke_orbit_code': 9007199724503050, 'n': 58, 'trace_an': -393194699525899627560960}
  • id: 29440932
    {'hecke_orbit_code': 9007199724503050, 'n': 59, 'trace_an': -343725486206796714375960}
  • id: 29440933
    {'hecke_orbit_code': 9007199724503050, 'n': 60, 'trace_an': 385266155520000000000000}
  • id: 29440934
    {'hecke_orbit_code': 9007199724503050, 'n': 61, 'trace_an': 228063235764015707336884}
  • id: 29440935
    {'hecke_orbit_code': 9007199724503050, 'n': 62, 'trace_an': 275044190746041030606848}
  • id: 29440936
    {'hecke_orbit_code': 9007199724503050, 'n': 63, 'trace_an': -2007200379545784196719876}
  • id: 29440937
    {'hecke_orbit_code': 9007199724503050, 'n': 64, 'trace_an': 604462909807314587353088}
  • id: 29440938
    {'hecke_orbit_code': 9007199724503050, 'n': 65, 'trace_an': 1268426503006342773437500}
  • id: 29440939
    {'hecke_orbit_code': 9007199724503050, 'n': 66, 'trace_an': 405902807485789433757696}
  • id: 29440940
    {'hecke_orbit_code': 9007199724503050, 'n': 67, 'trace_an': -3973383158722681594905428}
  • id: 29440941
    {'hecke_orbit_code': 9007199724503050, 'n': 68, 'trace_an': -3385316416186114293891072}
  • id: 29440942
    {'hecke_orbit_code': 9007199724503050, 'n': 69, 'trace_an': 7315190141287874962404168}
  • id: 29440943
    {'hecke_orbit_code': 9007199724503050, 'n': 70, 'trace_an': 571850415080000000000000}
  • id: 29440944
    {'hecke_orbit_code': 9007199724503050, 'n': 71, 'trace_an': -2414614414513749020227176}
  • id: 29440945
    {'hecke_orbit_code': 9007199724503050, 'n': 72, 'trace_an': 8523342473557817815990272}
  • id: 29440946
    {'hecke_orbit_code': 9007199724503050, 'n': 73, 'trace_an': -12422599244545503708131996}
  • id: 29440947
    {'hecke_orbit_code': 9007199724503050, 'n': 74, 'trace_an': -11058619907236869427265536}
  • id: 29440948
    {'hecke_orbit_code': 9007199724503050, 'n': 75, 'trace_an': -7007950544357299804687500}
  • id: 29440949
    {'hecke_orbit_code': 9007199724503050, 'n': 76, 'trace_an': 29988517289419234449817600}
  • id: 29440950
    {'hecke_orbit_code': 9007199724503050, 'n': 77, 'trace_an': 2723296993852627128197184}
  • id: 29440951
    {'hecke_orbit_code': 9007199724503050, 'n': 78, 'trace_an': -35730203022118053782421504}
  • id: 29440952
    {'hecke_orbit_code': 9007199724503050, 'n': 79, 'trace_an': 14197635994550588853149680}
  • id: 29440953
    {'hecke_orbit_code': 9007199724503050, 'n': 80, 'trace_an': -10995116277760000000000000}
  • id: 29440954
    {'hecke_orbit_code': 9007199724503050, 'n': 82, 'trace_an': -9690787591255484307505152}
  • id: 29440955
    {'hecke_orbit_code': 9007199724503050, 'n': 83, 'trace_an': 113637606793167338211169284}
  • id: 29440956
    {'hecke_orbit_code': 9007199724503050, 'n': 84, 'trace_an': 31340249444491776371982336}
  • id: 29440957
    {'hecke_orbit_code': 9007199724503050, 'n': 85, 'trace_an': 61578546886923764648437500}
  • id: 29440958
    {'hecke_orbit_code': 9007199724503050, 'n': 86, 'trace_an': -32098465944072298986176512}
  • id: 29440959
    {'hecke_orbit_code': 9007199724503050, 'n': 87, 'trace_an': 514617127953054957365529240}
  • id: 29440960
    {'hecke_orbit_code': 9007199724503050, 'n': 88, 'trace_an': 93376811524027148352356352}
  • id: 29440961
    {'hecke_orbit_code': 9007199724503050, 'n': 89, 'trace_an': 139217760348347863809112020}
  • id: 29440962
    {'hecke_orbit_code': 9007199724503050, 'n': 90, 'trace_an': -155038696421940000000000000}
  • id: 29440963
    {'hecke_orbit_code': 9007199724503050, 'n': 91, 'trace_an': -85180767378984078493944616}
  • id: 29440964
    {'hecke_orbit_code': 9007199724503050, 'n': 92, 'trace_an': -446093283996434196263337984}
  • id: 29440965
    {'hecke_orbit_code': 9007199724503050, 'n': 93, 'trace_an': -1371703352271155402043821232}
  • id: 29440966
    {'hecke_orbit_code': 9007199724503050, 'n': 94, 'trace_an': -262367858538014436863410176}
  • id: 29440967
    {'hecke_orbit_code': 9007199724503050, 'n': 95, 'trace_an': -545487951775052978515625000}
  • id: 29440968
    {'hecke_orbit_code': 9007199724503050, 'n': 96, 'trace_an': -173508451443833556059553792}
  • id: 29440969
    {'hecke_orbit_code': 9007199724503050, 'n': 97, 'trace_an': 1199842643269565667896244292}
  • id: 29440970
    {'hecke_orbit_code': 9007199724503050, 'n': 98, 'trace_an': -1017244345625241588410400768}
  • id: 29440971
    {'hecke_orbit_code': 9007199724503050, 'n': 99, 'trace_an': -794717627905923529800830112}
  • id: 29440972
    {'hecke_orbit_code': 9007199724503050, 'n': 100, 'trace_an': 200000000000000000000000000}
  • id: 29440973
    {'hecke_orbit_code': 9007199724503050, 'n': 101, 'trace_an': -284070930123000032658475716}
  • id: 29440974
    {'hecke_orbit_code': 9007199724503050, 'n': 103, 'trace_an': -674498990326571608645648316}
  • id: 29440975
    {'hecke_orbit_code': 9007199724503050, 'n': 107, 'trace_an': -1434771518561973905769472548}
  • id: 29440976
    {'hecke_orbit_code': 9007199724503050, 'n': 109, 'trace_an': 4646535738188445742528736500}
  • id: 29440977
    {'hecke_orbit_code': 9007199724503050, 'n': 113, 'trace_an': -1602818160170240087675022156}
  • id: 29440978
    {'hecke_orbit_code': 9007199724503050, 'n': 121, 'trace_an': -1561942166397871401134180134}
  • id: 29440979
    {'hecke_orbit_code': 9007199724503050, 'n': 125, 'trace_an': -3637978807091712951660156250}
  • id: 29440980
    {'hecke_orbit_code': 9007199724503050, 'n': 127, 'trace_an': 23101668282881753369020748092}
  • id: 29440981
    {'hecke_orbit_code': 9007199724503050, 'n': 128, 'trace_an': 4951760157141521099596496896}
  • id: 29440982
    {'hecke_orbit_code': 9007199724503050, 'n': 131, 'trace_an': 38774723214181790303408582304}
  • id: 29440983
    {'hecke_orbit_code': 9007199724503050, 'n': 137, 'trace_an': 13785764723375073256541411652}
  • id: 29440984
    {'hecke_orbit_code': 9007199724503050, 'n': 139, 'trace_an': -10906242580856579320205936120}
  • id: 29440985
    {'hecke_orbit_code': 9007199724503050, 'n': 149, 'trace_an': -688666834464822753717554634300}
  • id: 29440986
    {'hecke_orbit_code': 9007199724503050, 'n': 151, 'trace_an': -580425272671603930307177126696}
  • id: 29440987
    {'hecke_orbit_code': 9007199724503050, 'n': 157, 'trace_an': -823094321439587221253966363708}
  • id: 29440988
    {'hecke_orbit_code': 9007199724503050, 'n': 163, 'trace_an': -1021368027840606048875949609116}
  • id: 29440989
    {'hecke_orbit_code': 9007199724503050, 'n': 167, 'trace_an': 1333595478947393949764218840572}
  • id: 29440990
    {'hecke_orbit_code': 9007199724503050, 'n': 169, 'trace_an': 505915419219765171968028961374}
  • id: 29440991
    {'hecke_orbit_code': 9007199724503050, 'n': 173, 'trace_an': -1016772162114471398896249901916}
  • id: 29440992
    {'hecke_orbit_code': 9007199724503050, 'n': 179, 'trace_an': 68130931299247130405000473560}
  • id: 29440993
    {'hecke_orbit_code': 9007199724503050, 'n': 181, 'trace_an': 276810643036989255613947450844}
  • id: 29440994
    {'hecke_orbit_code': 9007199724503050, 'n': 191, 'trace_an': 853800018117413891637169169304}
  • id: 29440995
    {'hecke_orbit_code': 9007199724503050, 'n': 193, 'trace_an': 8063177537277557998563216580084}
  • id: 29440996
    {'hecke_orbit_code': 9007199724503050, 'n': 197, 'trace_an': -25224306221913977599021712129868}
  • id: 29440997
    {'hecke_orbit_code': 9007199724503050, 'n': 199, 'trace_an': 1521105660556694636696586860080}
  • id: 29440998
    {'hecke_orbit_code': 9007199724503050, 'n': 211, 'trace_an': -38877721976878588856316374689856}
  • id: 29440999
    {'hecke_orbit_code': 9007199724503050, 'n': 223, 'trace_an': -68979039307819952101141163183276}
  • id: 29441000
    {'hecke_orbit_code': 9007199724503050, 'n': 227, 'trace_an': 76570686633643501367373525314172}
  • id: 29441001
    {'hecke_orbit_code': 9007199724503050, 'n': 229, 'trace_an': 215424725125351073795766186249100}
  • id: 29441002
    {'hecke_orbit_code': 9007199724503050, 'n': 233, 'trace_an': -88024532841575181873959767249836}
  • id: 29441003
    {'hecke_orbit_code': 9007199724503050, 'n': 239, 'trace_an': -240153152804617368174810420780240}
  • id: 29441004
    {'hecke_orbit_code': 9007199724503050, 'n': 241, 'trace_an': -305058096346548027051218429859236}
  • id: 29441005
    {'hecke_orbit_code': 9007199724503050, 'n': 243, 'trace_an': -774392687809183503451983252297636}
  • id: 29441006
    {'hecke_orbit_code': 9007199724503050, 'n': 251, 'trace_an': 396413153410173683930808625204704}
  • id: 29441007
    {'hecke_orbit_code': 9007199724503050, 'n': 256, 'trace_an': 40564819207303340847894502572032}
  • id: 29441008
    {'hecke_orbit_code': 9007199724503050, 'n': 257, 'trace_an': 335448453569640534963695772178932}
  • id: 29441009
    {'hecke_orbit_code': 9007199724503050, 'n': 263, 'trace_an': -613462313984878207309879552430076}
  • id: 29441010
    {'hecke_orbit_code': 9007199724503050, 'n': 269, 'trace_an': 1907711952981847571436103268287380}
  • id: 29441011
    {'hecke_orbit_code': 9007199724503050, 'n': 271, 'trace_an': 19273477880203848303457815029464}
  • id: 29441012
    {'hecke_orbit_code': 9007199724503050, 'n': 277, 'trace_an': -433714694883421645689963702492668}
  • id: 29441013
    {'hecke_orbit_code': 9007199724503050, 'n': 281, 'trace_an': 282848960519220270161049792628524}
  • id: 29441014
    {'hecke_orbit_code': 9007199724503050, 'n': 283, 'trace_an': 32394512949813591077740094295124}
  • id: 29441015
    {'hecke_orbit_code': 9007199724503050, 'n': 289, 'trace_an': -1758936450206261796060240678848794}
  • id: 29441016
    {'hecke_orbit_code': 9007199724503050, 'n': 293, 'trace_an': -3626440851933041029628544390273516}
  • id: 29441017
    {'hecke_orbit_code': 9007199724503050, 'n': 307, 'trace_an': -6324847037709839816005646917402388}
  • id: 29441018
    {'hecke_orbit_code': 9007199724503050, 'n': 311, 'trace_an': -3694337272856247501000907608458136}
  • id: 29441019
    {'hecke_orbit_code': 9007199724503050, 'n': 313, 'trace_an': 587245759663581748367568412461364}
  • id: 29441020
    {'hecke_orbit_code': 9007199724503050, 'n': 317, 'trace_an': 2052007001290700419994803597153572}
  • id: 29441021
    {'hecke_orbit_code': 9007199724503050, 'n': 331, 'trace_an': 27171338944980052547544587574423184}
  • id: 29441022
    {'hecke_orbit_code': 9007199724503050, 'n': 337, 'trace_an': -3757359202924353015172801583610428}
  • id: 29441023
    {'hecke_orbit_code': 9007199724503050, 'n': 343, 'trace_an': 6987194604194743854690040031417960}
  • id: 29441024
    {'hecke_orbit_code': 9007199724503050, 'n': 347, 'trace_an': 20196248302607381301772964933715852}
  • id: 29441025
    {'hecke_orbit_code': 9007199724503050, 'n': 349, 'trace_an': 51084301882029123397295235211868860}
  • id: 29441026
    {'hecke_orbit_code': 9007199724503050, 'n': 353, 'trace_an': 799784931214396932640493043629604}
  • id: 29441027
    {'hecke_orbit_code': 9007199724503050, 'n': 359, 'trace_an': -83624390563563067275386019396489840}
  • id: 29441028
    {'hecke_orbit_code': 9007199724503050, 'n': 361, 'trace_an': 46660272230103737805274016054222922}
  • id: 29441029
    {'hecke_orbit_code': 9007199724503050, 'n': 367, 'trace_an': 39453287260465830319739956872238252}
  • id: 29441030
    {'hecke_orbit_code': 9007199724503050, 'n': 373, 'trace_an': 16835524877699990041961068204606084}
  • id: 29441031
    {'hecke_orbit_code': 9007199724503050, 'n': 379, 'trace_an': -14369078938669113878696465200764680}
  • id: 29441032
    {'hecke_orbit_code': 9007199724503050, 'n': 383, 'trace_an': 56525585965011574722554368996848564}
  • id: 29441033
    {'hecke_orbit_code': 9007199724503050, 'n': 389, 'trace_an': 4543628977653260877061927457144580}
  • id: 29441034
    {'hecke_orbit_code': 9007199724503050, 'n': 397, 'trace_an': 93776794674516791427697279844092852}
  • id: 29441035
    {'hecke_orbit_code': 9007199724503050, 'n': 401, 'trace_an': 218605161296236021741328907425688324}
  • id: 29441036
    {'hecke_orbit_code': 9007199724503050, 'n': 409, 'trace_an': -124784115845610657537360489263131940}
  • id: 29441037
    {'hecke_orbit_code': 9007199724503050, 'n': 419, 'trace_an': -372031652566166311275409928751619080}
  • id: 29441038
    {'hecke_orbit_code': 9007199724503050, 'n': 421, 'trace_an': -277674140679586241509866032231824316}
  • id: 29441039
    {'hecke_orbit_code': 9007199724503050, 'n': 431, 'trace_an': -250978611398505177157662521888411976}
  • id: 29441040
    {'hecke_orbit_code': 9007199724503050, 'n': 433, 'trace_an': -775532152831342940808901199451239036}
  • id: 29441041
    {'hecke_orbit_code': 9007199724503050, 'n': 439, 'trace_an': 324308362616305044442130605186750000}
  • id: 29441042
    {'hecke_orbit_code': 9007199724503050, 'n': 443, 'trace_an': -1000363402237691839654856658156978396}
  • id: 29441043
    {'hecke_orbit_code': 9007199724503050, 'n': 449, 'trace_an': -1870842516219353448716956874573887860}
  • id: 29441044
    {'hecke_orbit_code': 9007199724503050, 'n': 457, 'trace_an': -594193674102471062440673642634850988}
  • id: 29441045
    {'hecke_orbit_code': 9007199724503050, 'n': 461, 'trace_an': -277607057802082388002307251290759156}
  • id: 29441046
    {'hecke_orbit_code': 9007199724503050, 'n': 463, 'trace_an': -720229455838037816967650109416512796}
  • id: 29441047
    {'hecke_orbit_code': 9007199724503050, 'n': 467, 'trace_an': -826189996009006418711735714231766228}
  • id: 29441048
    {'hecke_orbit_code': 9007199724503050, 'n': 479, 'trace_an': 1641755855620073142455011744622088240}
  • id: 29441049
    {'hecke_orbit_code': 9007199724503050, 'n': 487, 'trace_an': 2022750111103823289884719393765514092}
  • id: 29441050
    {'hecke_orbit_code': 9007199724503050, 'n': 491, 'trace_an': 2047954211080905693163498208871458784}
  • id: 29441051
    {'hecke_orbit_code': 9007199724503050, 'n': 499, 'trace_an': 2947907540627778418894875244093244680}
  • id: 29441052
    {'hecke_orbit_code': 9007199724503050, 'n': 503, 'trace_an': -8053529744570978913389271362294386236}
  • id: 29441053
    {'hecke_orbit_code': 9007199724503050, 'n': 509, 'trace_an': -897614743704878810431325918481375780}
  • id: 29441054
    {'hecke_orbit_code': 9007199724503050, 'n': 512, 'trace_an': 332306998946228968225951765070086144}
  • id: 29441055
    {'hecke_orbit_code': 9007199724503050, 'n': 521, 'trace_an': -8923194370681737758471888820851438316}
  • id: 29441057
    {'hecke_orbit_code': 9007199724503050, 'n': 523, 'trace_an': 1552748026700984718710991117001266964}
  • id: 29441058
    {'hecke_orbit_code': 9007199724503050, 'n': 529, 'trace_an': 13917900031931997081448552952328236474}
  • id: 29441059
    {'hecke_orbit_code': 9007199724503050, 'n': 541, 'trace_an': 25862160108477120655305103677663138604}
  • id: 29441060
    {'hecke_orbit_code': 9007199724503050, 'n': 547, 'trace_an': 10335381102058344250538609924570935612}
  • id: 29441061
    {'hecke_orbit_code': 9007199724503050, 'n': 557, 'trace_an': -18625925363201354686008584249237822028}
  • id: 29441062
    {'hecke_orbit_code': 9007199724503050, 'n': 563, 'trace_an': -1177466140682041633443348546494922636}
  • id: 29441063
    {'hecke_orbit_code': 9007199724503050, 'n': 569, 'trace_an': -39458295455306685051722217275748294180}
  • id: 29441064
    {'hecke_orbit_code': 9007199724503050, 'n': 571, 'trace_an': -16488023675621814663085255839308322416}
  • id: 29441065
    {'hecke_orbit_code': 9007199724503050, 'n': 577, 'trace_an': 23257337296857981890265701878664658772}
  • id: 29441066
    {'hecke_orbit_code': 9007199724503050, 'n': 587, 'trace_an': -33878162513515153585084165017876817188}
  • id: 29441067
    {'hecke_orbit_code': 9007199724503050, 'n': 593, 'trace_an': 38844860341694672802075495033188040804}
  • id: 29441068
    {'hecke_orbit_code': 9007199724503050, 'n': 599, 'trace_an': -44400157087492891272962227539345804480}
  • id: 29441069
    {'hecke_orbit_code': 9007199724503050, 'n': 601, 'trace_an': -1439226315300959351977143867930222836}
  • id: 29441070
    {'hecke_orbit_code': 9007199724503050, 'n': 607, 'trace_an': 75429411485544188208561123786639370732}
  • id: 29441071
    {'hecke_orbit_code': 9007199724503050, 'n': 613, 'trace_an': -45334641695148251481379149391459346156}
  • id: 29441072
    {'hecke_orbit_code': 9007199724503050, 'n': 617, 'trace_an': 122935650901186936337195576086439048532}
  • id: 29441073
    {'hecke_orbit_code': 9007199724503050, 'n': 619, 'trace_an': -71545076640912252088037959641995368040}
  • id: 29441074
    {'hecke_orbit_code': 9007199724503050, 'n': 625, 'trace_an': 4440892098500626161694526672363281250}
  • id: 29441075
    {'hecke_orbit_code': 9007199724503050, 'n': 631, 'trace_an': 17784400700125447646587120926340940344}
  • id: 29441076
    {'hecke_orbit_code': 9007199724503050, 'n': 641, 'trace_an': 162858144320679715562276600251092211164}
  • id: 29441077
    {'hecke_orbit_code': 9007199724503050, 'n': 643, 'trace_an': 67940451444053260088475567397703570164}
  • id: 29441078
    {'hecke_orbit_code': 9007199724503050, 'n': 647, 'trace_an': 4398325969570909192774588431998266572}
  • id: 29441079
    {'hecke_orbit_code': 9007199724503050, 'n': 653, 'trace_an': 17617495967176984944834410017688120004}
  • id: 29441080
    {'hecke_orbit_code': 9007199724503050, 'n': 659, 'trace_an': -96489631772028842692616693701781454600}
  • id: 29441081
    {'hecke_orbit_code': 9007199724503050, 'n': 661, 'trace_an': -145569987721032462411423477917242489436}
  • id: 29441082
    {'hecke_orbit_code': 9007199724503050, 'n': 673, 'trace_an': -106467976183787807704265526195224764316}
  • id: 29441083
    {'hecke_orbit_code': 9007199724503050, 'n': 677, 'trace_an': 328151458910176612363539456641087181492}
  • id: 29441084
    {'hecke_orbit_code': 9007199724503050, 'n': 683, 'trace_an': -131421737274344137897033676734070514876}
  • id: 29441085
    {'hecke_orbit_code': 9007199724503050, 'n': 691, 'trace_an': 29609864289360636491218438440444464464}
  • id: 29441086
    {'hecke_orbit_code': 9007199724503050, 'n': 701, 'trace_an': 108925468008025738381621005662316370164}
  • id: 29441087
    {'hecke_orbit_code': 9007199724503050, 'n': 709, 'trace_an': 157495666226408914832356082091805467820}
  • id: 29441088
    {'hecke_orbit_code': 9007199724503050, 'n': 719, 'trace_an': 272940136706392685788785552917566067760}
  • id: 29441089
    {'hecke_orbit_code': 9007199724503050, 'n': 727, 'trace_an': 357275818382904342296749776553475846332}
  • id: 29441090
    {'hecke_orbit_code': 9007199724503050, 'n': 729, 'trace_an': 2571102912766988544874346019797772789834}
  • id: 29441091
    {'hecke_orbit_code': 9007199724503050, 'n': 733, 'trace_an': -702946970477369530406539635015954682556}
  • id: 29441092
    {'hecke_orbit_code': 9007199724503050, 'n': 739, 'trace_an': 383551186563154149760299279564941612440}
  • id: 29441093
    {'hecke_orbit_code': 9007199724503050, 'n': 743, 'trace_an': 497568373325247642436453236010469347284}
  • id: 29441094
    {'hecke_orbit_code': 9007199724503050, 'n': 751, 'trace_an': -1925542348206806421572786629840146404216}
  • id: 29441095
    {'hecke_orbit_code': 9007199724503050, 'n': 757, 'trace_an': -484922389557816461717403618209359157468}
  • id: 29441096
    {'hecke_orbit_code': 9007199724503050, 'n': 761, 'trace_an': -543369013456150011304651816466718293196}
  • id: 29441097
    {'hecke_orbit_code': 9007199724503050, 'n': 769, 'trace_an': -1183704686929609622920661429913863704700}
  • id: 29441098
    {'hecke_orbit_code': 9007199724503050, 'n': 773, 'trace_an': -1069068206057384039192463726165486556716}
  • id: 29441099
    {'hecke_orbit_code': 9007199724503050, 'n': 787, 'trace_an': 1469212901571422049059886403355820697852}
  • id: 29441100
    {'hecke_orbit_code': 9007199724503050, 'n': 797, 'trace_an': 955679212912863397359349385589071326212}
  • id: 29441101
    {'hecke_orbit_code': 9007199724503050, 'n': 809, 'trace_an': -2778751203170785806829855296928294083180}
  • id: 29441102
    {'hecke_orbit_code': 9007199724503050, 'n': 811, 'trace_an': 1634235362165657022181543488923484450304}
  • id: 29441103
    {'hecke_orbit_code': 9007199724503050, 'n': 821, 'trace_an': -1664592000511887925760293891789559255196}
  • id: 29441104
    {'hecke_orbit_code': 9007199724503050, 'n': 823, 'trace_an': 4368534994618511367965878045212433229524}
  • id: 29441105
    {'hecke_orbit_code': 9007199724503050, 'n': 827, 'trace_an': -1740345670547088171488960266309147833588}
  • id: 29441106
    {'hecke_orbit_code': 9007199724503050, 'n': 829, 'trace_an': -3150605611258428791797807076662030791500}
  • id: 29441107
    {'hecke_orbit_code': 9007199724503050, 'n': 839, 'trace_an': -2871747906859702047281474113170733100640}
  • id: 29441108
    {'hecke_orbit_code': 9007199724503050, 'n': 841, 'trace_an': 3240343116718503822346647852246832677182}
  • id: 29441109
    {'hecke_orbit_code': 9007199724503050, 'n': 853, 'trace_an': -2758727173007078353265987581972649130956}
  • id: 29441110
    {'hecke_orbit_code': 9007199724503050, 'n': 857, 'trace_an': 1360929029171035427682724615429224654852}
  • id: 29441111
    {'hecke_orbit_code': 9007199724503050, 'n': 859, 'trace_an': -2254511850047249847284002462710091435640}
  • id: 29441112
    {'hecke_orbit_code': 9007199724503050, 'n': 863, 'trace_an': -774354882787632294317821837316857209036}
  • id: 29441113
    {'hecke_orbit_code': 9007199724503050, 'n': 877, 'trace_an': -1592297892410561579811999466990496993948}
  • id: 29441114
    {'hecke_orbit_code': 9007199724503050, 'n': 881, 'trace_an': -8611517337681388652831580956973308427876}
  • id: 29441115
    {'hecke_orbit_code': 9007199724503050, 'n': 883, 'trace_an': 15115052159507221649092656811557571602484}
  • id: 29441116
    {'hecke_orbit_code': 9007199724503050, 'n': 887, 'trace_an': 3857436248076624385470001184820643024572}
  • id: 29441117
    {'hecke_orbit_code': 9007199724503050, 'n': 907, 'trace_an': 26263032640646032367315614137882718351852}
  • id: 29441118
    {'hecke_orbit_code': 9007199724503050, 'n': 911, 'trace_an': -23489951074444076500348749622940155410456}
  • id: 29441119
    {'hecke_orbit_code': 9007199724503050, 'n': 919, 'trace_an': 7206273280834438821164429541106165587040}
  • id: 29441120
    {'hecke_orbit_code': 9007199724503050, 'n': 929, 'trace_an': 1071894198754056416145535223650094260140}
  • id: 29441121
    {'hecke_orbit_code': 9007199724503050, 'n': 937, 'trace_an': 18216001134429559892496180974807032782772}
  • id: 29441122
    {'hecke_orbit_code': 9007199724503050, 'n': 941, 'trace_an': -20391017962258687085707204510085960284116}
  • id: 29441123
    {'hecke_orbit_code': 9007199724503050, 'n': 947, 'trace_an': -5823271329306741507436239524185946185908}
  • id: 29441124
    {'hecke_orbit_code': 9007199724503050, 'n': 953, 'trace_an': -24820874627251123911923038001236598805036}
  • id: 29441125
    {'hecke_orbit_code': 9007199724503050, 'n': 961, 'trace_an': 48447738847621743489581282704115687650146}
  • id: 29441126
    {'hecke_orbit_code': 9007199724503050, 'n': 967, 'trace_an': 18304041942391283720372686646795463238732}
  • id: 29441127
    {'hecke_orbit_code': 9007199724503050, 'n': 971, 'trace_an': -16281460192935759489510455357821461063216}
  • id: 29441128
    {'hecke_orbit_code': 9007199724503050, 'n': 977, 'trace_an': -47579664295384762139740815481366712459868}
  • id: 29441129
    {'hecke_orbit_code': 9007199724503050, 'n': 983, 'trace_an': -51416516246414951106706134559255127899836}
  • id: 29441130
    {'hecke_orbit_code': 9007199724503050, 'n': 991, 'trace_an': 40647871169909376380300523424497749008264}
  • id: 29441131
    {'hecke_orbit_code': 9007199724503050, 'n': 997, 'trace_an': 89000111153992090091672079456236905765252}