Lfunction data - 8-294e4-1.1-c5e4-0-1

Formats: - HTML - YAML - JSON - 2025-01-13T06:03:05.031559

• lfunc_lfunctions •

  Column	Type
  A10	numeric
  A2	numeric
  A3	numeric
  A4	numeric
  A5	numeric
  A6	numeric
  A7	numeric
  A8	numeric
  A9	numeric
  Lhash	text
  a10	jsonb
  a2	jsonb
  a3	jsonb
  a4	jsonb
  a5	jsonb
  a6	jsonb
  a7	jsonb
  a8	jsonb
  a9	jsonb
  accuracy	smallint
  algebraic	boolean
  analytic_conductor	double precision
  analytic_normalization	numeric
  bad_lfactors	jsonb
  bad_primes	bigint[]
  central_character	text
  coeff_info	jsonb
  coefficient_field	text
  conductor	numeric
  conductor_radical	integer
  conjugate	text
  credit	text
  degree	smallint
  dirichlet_coefficients	jsonb
  euler_factors	jsonb
  euler_factors_factorization	jsonb
  gamma_factors	jsonb
  group	text
  index	smallint
  instance_types	text[]
  instance_urls	text[]
  label	text
  leading_term	text
  load_key	text
  motivic_weight	smallint
  mu_imag	numeric[]
  mu_real	smallint[]
  nu_imag	numeric[]
  nu_real_doubled	smallint[]
  order_of_vanishing	smallint
  origin	text
  plot_delta	numeric
  plot_values	jsonb
  positive_zeros	jsonb
  precision	smallint
  prelabel	text
  primitive	boolean
  rational	boolean
  root_analytic_conductor	double precision
  root_angle	double precision
  root_number	text
  self_dual	boolean
  sign_arg	numeric
  spectral_label	text
  st_group	text
  symmetry_type	text
  trace_hash	bigint
  types	jsonb
  values	jsonb
  z1	numeric
  z2	numeric
  z3	numeric

  
  {'Lhash': '117564942634433803304697457629,642743305038372315385101015865,1043426570901488324566190656195,1374310758453113824927715283730', 'a10': 424, 'a2': -8, 'a3': -18, 'a4': 16, 'a5': -53, 'a6': 144, 'a7': 0, 'a8': 128, 'a9': 81, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4943465.78392231, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 8, 48, 128, 256]], [3, [1, 18, 243, 1458, 6561]], [7, [1]]], 'bad_primes': [2, 3, 7], 'central_character': '294.1', 'coefficient_field': '1.1.1.1', 'conductor': 7471182096, 'conductor_radical': 42, 'degree': 8, 'euler_factors': [[1, 8, 48, 128, 256], [1, 18, 243, 1458, 6561], [1, 53, -1743, -89994, 2176954, -281231250, -17021484375, 1617431640625, 95367431640625], [1], [1, 191, -234735, -9719226, 41745392524, -1565291066526, -6088421363715735, 797854400358389341, 672749994932560009201], [1, -758, 1119773, -651394122, 620591199680, -241858077739746, 154370216993230277, -38798906904680793806, 19004963774880799438801], [1, 340, -1792914, -316608000, 1462296318547, -449538085056000, -3614503688029618386, 973223837513337369620, 4064231406647572522401601], [1, 1769, 1045603, -5074270360, -9537626497976, -12564395764125640, 6410661272355499003, 26855413715848518190931, 37589973457545958193355601], [1, 3236, -4980510, 8347326720, 129944731805059, 53726257902984960, -206325153364690980990, 862831621962770070784252, 1716155831334586342923895201], [1, -8918, 94005957, -513434114466, 3030612742864384, -10531123623495181434, 39548986083207663297357, -76955105251080608844383182, 176994576151109753197786640401], [1, -1994, 10280849, 126744851310, -893708155041268, 3628597486626537810, 8426474654578280980049, -46789732411738303744322294, 671790528819082282036142601601], [1, 20587, 185423563, 2052793425004, 22636782601114654, 142348818993360100828, 891624847319836486375987, 6864658318324021727030805391, 23122483666661158726686253786801], [1, 17628, 559043720, 6284994802164, 102772436589056238, 728155621083467618964, 7503853393040232021971720, 27413273096670830293144258428, 180167782956420929503029846064801], [1, -31706, 928675201, -15399199599734, 231817912281723688, -2263812356603118554162, 20070047681197194910209049, -100732193017989982216655017742, 467056167777397914441056671494001], [1, -33912, 462240278, -7769017144224, 156694760249296899, -1781785291325173289568, 24313437507248843410513622, -409092269273020327711314711816, 2766668711962335809450748011342401], [1, 49239, 1103481011, 23861570178636, 556242294983257398, 9978801104608780087548, 192985002610168878844212539, 3601200221863880206614072362523, 30585627290848204916791848989276401], [1, 56735, 988331391, 45426593189460, 2162900736067650880, 32476575291932864688540, 505152731753026757042518791, 20731524240516604919724284974765, 261240335504588722483367157995242801], [1, -67508, 1731262802, -76748134547280, 3424209143194800779, -64821190547282997611280, 1234984048032320611204308002, -40672677850391507579855890688708, 508858109619679129936596364708525201], [1, 75723, 1872823325, 87906769364370, 5344056371181586764, 118685136394094368237590, 3413853158056330011522997925, 186358777162672789528386224056089, 3322737661703085672358476688602579601], [1, 17984, -1281576300, 20196268831296, 7266308356388688454, 36438701006110710568896, -4171842985702104813017136300, 105623735973588712475950072629184, 10596610576391421032662867140133202401], [1, 3201, -2300766979, -5874250509006, 1021915489991879958, -12177741860386129266558, -9887835597079422797642072371, 28518624565709704615148427307257, 18469587772135192290560825407466407201], [1, 26612, -3289450441, -57387814991556, 4333754463066999968, -176585543344395520766844, -31145424935506634963769065641, 775325171934803318495167280163788, 89648251976843595444986830377401534401], [1, -1898, 735015993, -8172974647422, 31173908734488788200, -32193679310403853172346, 11404538420643009268229209857, -116002565390535342195227957187886, 240747534123068430155382383568465195601], [1, -176562, 12318337010, -1357352851108032, 150281330424380661999, -7579539013856896209394368, 384106934648757047500653373010, -30743077459465655897236039356891138, 972299657790850297934682879408841327201], [1, -258846, 40635935441, -5314147598533998, 577796839140524515140, -45634393604530875208557486, 2996591921313809658359807102609, -163914537303301385419757807742579678, 5437943429267472574499737549036572950401], [1, 34508, -17765099838, -71234833342800, 236348555007688532539, -748685257604813784742800, -1962372234119380492416352037838, 40062716711907909451541319425196508, 12201900399479668244827490915525641902001], [1, -229531, 16566043291, -2968514136338704, 559392312182736745828, -34413214774505150708617072, 2226337691969870192121939993259, -357601819099790094931883081448931117, 18061112346694138117573133075817258818401], [1, -142677, -7317926197, 53701067169576, 283657639264629572424, 753185246991257691851832, -1439546845097341698819232427053, -393650343134641695436567373920246911, 38696844624861790832365403138487376998001], [1, -70197, -5833052335, 1404768882946938, -196761847391329531806, 21614110544002729124050962, -1380895620987372960443577191335, -255691341222684845859386561282701353, 56044107677782919374398655242916531006801], [1, -7844, -3010730904, -132652200325356, 681769627792331154958, -2444030804909868001963308, -1022012894654945538954302393496, -49058496842657497418877995140871908, 115230877647233745723406127208308085892801]], 'euler_factors_factorization': [[[[1, 4, 16], 2]], [[[1, 9, 81], 2]], [[[1, 53, -1743, -89994, 2176954, -281231250, -17021484375, 1617431640625, 95367431640625], 1]], [1], [[[1, 191, -234735, -9719226, 41745392524, -1565291066526, -6088421363715735, 797854400358389341, 672749994932560009201], 1]], [[[1, -379, 488066, -140720047, 137858491849], 2]], [[[1, 340, -1792914, -316608000, 1462296318547, -449538085056000, -3614503688029618386, 973223837513337369620, 4064231406647572522401601], 1]], [[[1, 1769, 1045603, -5074270360, -9537626497976, -12564395764125640, 6410661272355499003, 26855413715848518190931, 37589973457545958193355601], 1]], [[[1, 3236, -4980510, 8347326720, 129944731805059, 53726257902984960, -206325153364690980990, 862831621962770070784252, 1716155831334586342923895201], 1]], [[[1, -4459, 37061638, -91459213391, 420707233300201], 2]], [[[1, -1994, 10280849, 126744851310, -893708155041268, 3628597486626537810, 8426474654578280980049, -46789732411738303744322294, 671790528819082282036142601601], 1]], [[[1, 20587, 185423563, 2052793425004, 22636782601114654, 142348818993360100828, 891624847319836486375987, 6864658318324021727030805391, 23122483666661158726686253786801], 1]], [[[1, 8814, 240678562, 1021156555614, 13422659310152401], 2]], [[[1, -15853, 338678796, -2330524846879, 21611482313284249], 2]], [[[1, -33912, 462240278, -7769017144224, 156694760249296899, -1781785291325173289568, 24313437507248843410513622, -409092269273020327711314711816, 2766668711962335809450748011342401], 1]], [[[1, 49239, 1103481011, 23861570178636, 556242294983257398, 9978801104608780087548, 192985002610168878844212539, 3601200221863880206614072362523, 30585627290848204916791848989276401], 1]], [[[1, 56735, 988331391, 45426593189460, 2162900736067650880, 32476575291932864688540, 505152731753026757042518791, 20731524240516604919724284974765, 261240335504588722483367157995242801], 1]], [[[1, -67508, 1731262802, -76748134547280, 3424209143194800779, -64821190547282997611280, 1234984048032320611204308002, -40672677850391507579855890688708, 508858109619679129936596364708525201], 1]], [[[1, 75723, 1872823325, 87906769364370, 5344056371181586764, 118685136394094368237590, 3413853158056330011522997925, 186358777162672789528386224056089, 3322737661703085672358476688602579601], 1]], [[[1, 8992, -681216182, 16223630324192, 3255243551009881201], 2]], [[[1, 3201, -2300766979, -5874250509006, 1021915489991879958, -12177741860386129266558, -9887835597079422797642072371, 28518624565709704615148427307257, 18469587772135192290560825407466407201], 1]], [[[1, 26612, -3289450441, -57387814991556, 4333754463066999968, -176585543344395520766844, -31145424935506634963769065641, 775325171934803318495167280163788, 89648251976843595444986830377401534401], 1]], [[[1, -949, 367057696, -3738149570207, 15516041187205853449], 2]], [[[1, -176562, 12318337010, -1357352851108032, 150281330424380661999, -7579539013856896209394368, 384106934648757047500653373010, -30743077459465655897236039356891138, 972299657790850297934682879408841327201], 1]], [[[1, -129423, 11942811256, -1111399338081711, 73742412689492826049], 2]], [[[1, 34508, -17765099838, -71234833342800, 236348555007688532539, -748685257604813784742800, -1962372234119380492416352037838, 40062716711907909451541319425196508, 12201900399479668244827490915525641902001], 1]], [[[1, -229531, 16566043291, -2968514136338704, 559392312182736745828, -34413214774505150708617072, 2226337691969870192121939993259, -357601819099790094931883081448931117, 18061112346694138117573133075817258818401], 1]], [[[1, -142677, -7317926197, 53701067169576, 283657639264629572424, 753185246991257691851832, -1439546845097341698819232427053, -393650343134641695436567373920246911, 38696844624861790832365403138487376998001], 1]], [[[1, -70197, -5833052335, 1404768882946938, -196761847391329531806, 21614110544002729124050962, -1380895620987372960443577191335, -255691341222684845859386561282701353, 56044107677782919374398655242916531006801], 1]], [[[1, -3922, -1513056494, -72260307732146, 339456738992222314849], 2]]], 'gamma_factors': [[], [0, 0, 0, 0]], 'group': 'GL2', 'index': 1, 'label': '8-294e4-1.1-c5e4-0-1', 'leading_term': '0.080901343320876914291678305449271380022939297103036865581459021309098615578164262116866820', 'load_key': 'CMFs-workshop', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5, 5, 5, 5], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/294/6/e/s', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.017578125', 'prec': 37}, 'plot_values': [0.08090134332087694, 0.0770015323708063, 0.06788443759031114, 0.05330380642554177, 0.03319271026917913, 0.007924938527343627, -0.021658083934907833, -0.05459013957815163, -0.08986271393125748, -0.12650110847876128, -0.1634961262680199, -0.19979451464574777, -0.23431952172009013, -0.26600651579518736, -0.2938628312385408, -0.3169883133470172, -0.33459482849710076, -0.3460243597027284, -0.35076550842632814, -0.34847016162458383, -0.3389679181958639, -0.3222744664205426, -0.29859805689302854, -0.26833543757455364, -0.23206458923992432, -0.19053444876158307, -0.1446519307695879, -0.09546165809633879, -0.04412158482363945, 0.008122739449449363, 0.05996752463225584, 0.1100839977663022, 0.1571512815811678, 0.19989026385287406, 0.23710109003907037, 0.2676956426647421, 0.2907279678660825, 0.30542575582618803, 0.31122153631941374, 0.3077713590496248, 0.29497176524140856, 0.27297610634623204, 0.24220550141196795, 0.20334562697081815, 0.15734144175427825, 0.10538744584326243, 0.04891394917539231, -0.010441188613244428, -0.07086429547096097, -0.1304009613318057, -0.18699121054849813, -0.23851947183366853, -0.2828665412155751, -0.31795737603896834, -0.3418091531620803, -0.3525914831182446, -0.3486786399739491, -0.3286951862903962, -0.2915624123259092, -0.23654667909597368, -0.16329132915738606, -0.07184488615796825, 0.03731380853415238, 0.16326288816326665, 0.3046362967557351, 0.4596287401550435, 0.6260125898928314, 0.8011657859243974, 0.9821068917290707, 1.165545984234441, 1.3479449883937116, 1.525575741796213, 1.6945919467179014, 1.8511252177497652, 1.9913603358568732, 2.1116117327999526, 2.2084264440234396, 2.2786865882745966, 2.3196724098799506, 2.329140653444848, 2.3054340765492505, 2.247531218520376, 2.1550855848565353, 2.0284871173044223, 1.8689173628943159, 1.6783266136813315, 1.4594348672433315, 1.2157504556084051, 0.9515180507948396, 0.6716424237348659, 0.3816383172370633, 0.0875667979905398, -0.2041023193937215, -0.4866053140675133, -0.7529891927277158, -0.996259552025636, -1.2095399468713322, -1.3862114331012843, -1.520062537021042, -1.6054494823698309, -1.6374341638937229, -1.6119213679783313, -1.5257969326515093, -1.3770252216629235, -1.164735399994427, -0.8893120470855186, -0.5524366152778991, -0.15709260847685413, 0.29242790517874956, 0.7905454443581889, 1.3304792699379235, 1.9043405470574892, 2.5032312561330308, 3.117399632191796, 3.7364315918741697, 4.34943184968913, 4.945227424262287, 5.5125980151346905, 6.04053518403201, 6.518480042477704, 6.936550728304107, 7.285769975672457, 7.558341240409139, 7.747860677267659, 7.849454391173096, 7.859942321547538, 7.778064858569997, 7.604534025660101, 7.342030901136573, 6.995253724307874, 6.570995040204714, 6.077967929189314, 5.526660358195193, 4.929236843015286, 4.299379857856235, 3.6519590601755727, 3.002757659692693, 2.3682153276701476, 1.7650901367996883, 1.2100694402078809, 0.7194223300638392, 0.3086431641209607, -0.007906536566264812, -0.21735512661859466, -0.30864834187644, -0.2728439064278382, -0.1033614489203315, 0.20379422137105854, 0.6498642035516985, 1.233234841030735, 1.949383067488909, 2.7908933819355806, 3.7475382865789357, 4.806404699269334, 5.952103514699971, 7.167072928054652, 8.431848235746218, 9.725401449573713, 11.025651328697512, 12.309893954035253, 13.555156720256976, 14.738708849907301, 15.83875652908454, 16.834722995818016, 17.707609088959867, 18.440614487813495, 19.019631159248483, 19.433281806420577, 19.673202279793223, 19.73456873127086, 19.616072819281133, 19.31976515501833, 18.851219166320607, 18.219570022445595, 17.4370925819866, 16.518878036853685, 15.482784404843919, 14.348871346359461, 13.138863208784132, 11.875734818877188, 10.583298306606949, 9.28542389418698, 8.005543451247211, 6.7662294552304685, 5.588561917403002, 4.491560907798767, 3.491842437312154, 2.6032659795315047, 1.8365081772438243, 1.1988551212760532, 0.6941120228167242, 0.322505958648308, 0.08070492343290275, -0.03802915649116273, -0.04362089043848005, 0.051113204010249866, 0.23085465728910198, 0.4782312514856536, 0.7743258358176747, 1.0992275565916343, 1.432600848771345, 1.754286871874282, 2.044893615346949, 2.2863385963559595, 2.462386819937052, 2.559153433647732, 2.5654879194209332, 2.473288505097057, 2.2778039036420754, 1.9777586628173423, 1.5753767343754206, 1.0763505995142395, 0.48972817222009, -0.1723951682671284, -0.8952175147565348, -1.6616136065012057, -2.4526442124601844, -3.248121087822105, -4.027192048674428, -4.7689515662662005, -5.453054388923739, -6.060305762793032, -6.573274557173622, -6.976814615252765, -7.258482451407524, -7.408934420887557, -7.422272882924389, -7.296178436543131, -7.031993851335983, -6.634771816761856, -6.113067266796663, -5.478690663130568, -4.746451975304024, -3.933782521394391, -3.060001543859103, -2.145902007808984, -1.2132731307983884, -0.28420179069087925, 0.6198323394241337, 1.47829971926315, 2.2721187142144132, 2.9842941814454167, 3.6006611375438133, 4.109949013724119, 4.504006914558772, 4.778043053748629, 4.931029554053196, 4.965367952162408, 4.88660003655398, 4.70323090454046, 4.426763143706277, 4.07094670147567, 3.6510935782844243, 3.1836665383158085, 2.6860553408664445, 2.1756143191601915, 1.6689718334698902, 1.1816307749765709, 0.7276966189447416, 0.3191347407781464, -0.0346066735289045, -0.326749229069952, -0.5532281856187637, -0.712904799873442, -0.807497329487055, -0.8413605404827668, -0.8211405802168231, -0.7554783030861985, -0.6545609520127393, -0.5295827595705075, -0.39215518645152936, -0.2537596382424463, -0.12516683383503638, -0.015862216190200347, 0.06646554312169822, 0.11636531202343339, 0.13099351122347097, 0.11037231685707855, 0.05753290964196164, -0.02144947011213421, -0.117556703654138, -0.2190601849767659, -0.31186396970082514, -0.3799528651440595, -0.4059531820590986, -0.37177167101022013, -0.2592711464205578, -0.050985128719071, 0.2691274622490736, 0.7149634166812734, 1.2976745353835926, 2.025029653006613, 2.9008541830061945, 3.9247289023581304, 5.091808639259954, 6.39254797121018, 7.812712555835454, 9.333879828353686, 10.933632777158794, 12.585828571746765, 14.261451343633228, 15.929606890146534, 17.557938248064595, 19.113403930955844, 20.56382447985934, 21.87849238276117, 23.02876929026647, 23.98919517767116, 24.738718557762677, 25.26056683870927, 25.542847497580492, 25.579583989597747, 25.370522921656605, 24.920618955160677, 24.240436588645487, 23.346275705680117, 22.258776065421493, 21.002271510750138, 19.604905527205872, 18.097434600138, 16.511740327617233, 14.880193333284053, 13.235329104989301, 11.608231350287962, 10.027583011129455, 8.519291296641715, 7.105925705765566, 5.805817092574545, 4.632790545878322, 3.5961849972966635, 2.700722269165764, 1.946558227976913, 1.3296553148162966, 0.8422509911485346, 0.47338723404462735, 0.20956117856122508, 0.03546984527661455, -0.06521887007465564, -0.10909249576159313, -0.1122476151412193, -0.08958970754577196, -0.05421390777855185, -0.01690594016223509, 0.014241642226755056, 0.034073945016790015, 0.04046294967335758, 0.034247920303931444, 0.019035751650942855, 0.0008619617390435569, -0.012266096720393678, -0.010920924505086223, 0.015125123081712022, 0.07623254734997749, 0.18221356977479122, 0.3416955583083571, 0.5615097536710575, 0.8461381498428081, 1.1973213877924545, 1.613803003659645, 2.0910956182741733, 2.6214435647309537, 3.194131919993911, 3.795696467216952, 4.410215994311005, 5.019991825430857, 5.6063621696858705, 6.150153331360643, 6.632375578835818, 7.035393374468904, 7.343479611061987, 7.543275181057358, 7.624585349829643, 7.581178945577361, 7.410667358675175, 7.1147075548101935, 6.699468137307279, 6.1752991396416235, 5.556138103779676, 4.859289675605553, 4.105086950207525, 3.3157731004413726, 2.5147091409460867, 1.7257965572534264, 0.9724904321196554, 0.27677673730400265, -0.34153605640794, -0.86547312985101, -1.2816344123182868, -1.580644362249828, -1.7574436943967182, -1.8114809079198837, -1.7466624712191758, -1.5711278532985127, -1.2969070353260717, -0.9393897438277548, -0.5166538097722497, -0.0487028048014054, 0.4433735014179839, 0.9382271168321726, 1.4151019419604571, 1.8547586887597032, 2.2401562260980987, 2.5570266175543637, 2.794470986637037, 2.9454223438466336, 3.0066414923460236, 2.978756428909654, 2.8663060137374137, 2.6773124667599295, 2.4227008640938332, 2.1158348225212227, 1.7719282358735826, 1.4071113259289334, 1.0376786681894894, 0.679419615716098, 0.3468234907423997, 0.0523836016281525, -0.19391142699900543, -0.38501778277801757, -0.5171263996019919, -0.5897525603897383, -0.6057210279939389, -0.5709696628597188, -0.494148108199467, -0.3861481802994395, -0.25955094304092, -0.12789218446336287, -0.004955641798220746, 0.09592924664879196, 0.16262415507973724, 0.18484252084815259, 0.15466758049733736, 0.06703838201794068, -0.07994151624080191, -0.2848927684529357, -0.5431526122442637, -0.8468883771878294, -1.1854710590258788, -1.545963580362253, -1.9136383824485237, -2.272642106196161, -2.6067360434883047, -2.9000816198766075, -3.1379461618878945, -3.3073608295259587, -3.3977315480726458, -3.4014420654983284, -3.314167596591231, -3.1350428473148657, -2.8667698260536403, -2.515611617058374, -2.0910462516567416, -1.6053765642367603, -1.0732407449717611, -0.5109933965120722, 0.06398049756278507, 0.6339669344154902, 1.1817510212920093, 1.69125143975918, 2.1480768591242483, 2.54017342600667, 2.858341065040389, 3.0963538685558074, 3.2510964164880423, 3.3228137651074565, 3.314807326850668, 3.233060898669882, 3.0859768758547594, 2.884007267339207, 2.6388412945449966, 2.3628561236011985, 2.068697211963702, 1.7685760732711966, 1.4736454521506095, 1.193650202558032, 0.9366379102943478, 0.7085886829432438, 0.5133200234828998, 0.3525549333646334, 0.22601663488514984, 0.13163843188055585, 0.06590915217536002, 0.02426747017929992, 0.0015230868733160444, -0.007691482906516783, -0.0084899842213671, -0.0053436666392478694, -0.0017549396194877598, -2.1613817925255043e-05, -0.0011013443489134526, -0.004583677341397739, -0.008775849293324223, -0.010893913402248311, -0.007349613164126338, 0.00589277358468631, 0.032904469683547724, 0.07734454040820694, 0.14201733407527709, 0.22850636258899024, 0.3368226362948326, 0.4651261356609523, 0.6095781724924854, 0.7644205477798999, 0.9220498457285331, 1.0732057873576966, 1.2073434597941515, 1.31331813480048, 1.379868195859594, 1.3961221135698576, 1.3522914597207984, 1.2406394945710395, 1.055870719604993, 0.795502441168257, 0.46035951002719827, 0.05515226724025754, -0.4117374160458994, -0.9284434241010484, -1.479820310386155, -2.0476928895590403, -2.611708798869203, -3.150178598170521, -3.6410260756802186, -4.062526784285341, -4.3944035920802005, -4.618944599053803, -4.7219687561340615, -4.693359240743942, -4.527775260006146, -4.225295310798162, -3.791504212131628, -3.237356848196982, -2.5789924536985547, -1.8372605178256887, -1.0368754927723123, -0.20551229646373897, 0.6273331169143835, 1.431566685592751, 2.177672114596232, 2.8380217066978006, 3.3882504519291374, 3.8081059283870218, 4.082283942300405, 4.201440154338067, 4.162545659681321, 3.9687705902053687, 3.62948955712788, 3.160220408540531, 2.5815866704382313, 1.9183685680798441, 1.1986541509272697, 0.45260887153515145, -0.2890461514851692, -0.996275099671088, -1.6409426931065751, -2.1981212460002224, -2.647091267386327, -2.972143693476812, -3.163219200923585, -3.216234077122638, -3.133064629137076, -2.921376547923244, -2.5940952029051174, -2.168701880485274, -1.666293546937345, -1.1105020430775339, -0.5263423933872587, 0.0609232119612283, 0.6270485878135325, 1.14986424202601, 1.610111827912242, 1.992282232826808, 2.2853080903495204, 2.4826786831674457, 2.582480525678372, 2.587475342963355, 2.5046428800241394, 2.344433601620265, 2.120126462328136, 1.847160636396867, 1.5420400098700837, 1.2214110663750413, 0.9012862808997947, 0.5962403191387659, 0.3186940923604722, 0.07844741642980206, -0.1176444776315272, -0.2658427461063499, -0.36544251736651695, -0.418547262256981, -0.4297082388043974, -0.4054342493471648, -0.3535879974625057, -0.28274270101385546, -0.20156674372619612, -0.11826069488178671, -0.04000849206891927, 0.027465259605344277, 0.08010900617423164, 0.11567755037840347, 0.13379076984611254, 0.13574328273557354, 0.12418661898676765, 0.10279576114482936, 0.0758521116898011, 0.04770917891213336, 0.0223376041385817, 0.002923049024901296, -0.00850597118911039, -0.011322965053432568, -0.006409626483200453, 0.003850802759334397, 0.01574302112435405, 0.02452069856923088, 0.02480128264118114, 0.011063062101833014, -0.02180000998813318, -0.07792915454951849, -0.1599697208668555, -0.26861137773344557, -0.40224917113584063, -0.55677584082555, -0.7255343899078879, -0.8994810208852698, -1.0675033774240488, -1.2169231467058375, -1.3341271813933497, -1.4053573481749986, -1.4175583461770704, -1.359255330415759, -1.2213333742786212, -0.9978453039804017, -0.6866770536028383, -0.2899334984195693, 0.1858500339273317, 0.7296802572077916, 1.3263976715239707, 1.9571847213308875, 2.600255978934883, 3.231993635414595, 3.828009246478512, 4.364120349916873, 4.817630877928257, 5.169019163353521, 5.402565785719913, 5.5070434025348, 5.476803571807521, 5.31247505870033, 5.020418386688939, 4.612534544186354, 4.106282326723831, 3.5236450818189584, 2.8896982357912675, 2.2316108420886143, 1.5774190758007234, 0.9543306801610381, 0.38727955662892977, -0.1021653834210929, -0.4970122450715426, -0.7857531301962755, -0.9628463122996445, -1.028899396949475, -0.9905418955269047, -0.8599406491828289, -0.6539452757071239, -0.3929717014937416, -0.09969804464966911, 0.20236541947804232, 0.490410386884431, 0.7437503112137541, 0.9450939076532382, 1.0817320285714358, 1.1463218361151841, 1.1372612807941536, 1.0588083216459416, 0.920920220852471, 0.7384613313877136, 0.5301840132912641, 0.3175263713958119, 0.12316656196164011, -0.030603607455051588, -0.12343548387943491, -0.1384012990124277, -0.06327723290008072, 0.10845064887792843, 0.37692054544436837, 0.7356632704759704, 1.1717637033575414, 1.6663985863234754, 2.195938266247016, 2.7332399680336295, 3.249173064407459, 3.7144115746735116, 4.10146077087758, 4.386093640048763, 4.549019625632752, 4.577513318712051, 4.466125982898421, 4.216892468899789, 3.8397636917382014, 3.3523339601477917, 2.778299669531335, 2.146154111493647, 1.4879762262974081, 0.8371545614239883, 0.2260585286495249, -0.31579128004562934, -0.7635507369050795, -1.0989434399471565, -1.3113747865461174, -1.3986306026544635, -1.3672297299977758, -1.2318622506812265, -1.014306592946766, -0.7420568476089381, -0.4462640568179108, -0.15920666924348148, 0.08818690161441785, 0.2688888628314139, 0.3624121965176137, 0.35699365349878476, 0.25122709852370606, 0.055240843534635216, -0.20878071818394245, -0.5070292169272717, -0.7952417489440194, -1.0206102178672107, -1.1243700533439207, -1.0450115700701328, -0.7218923758503714, -0.09916534981874978, 0.8703790613751013, 2.221959508540912, 3.9753753727319063, 6.132218509659285, 8.674778611333906, 11.565445173423303, 14.746162042400542, 18.139898189155804, 21.655024700646173, 25.187252131089508, 28.622776318608757, 31.844938231423736, 34.740973761843364, 37.204272913727195, 39.13930463352982, 40.46983545270515, 41.14186686207396, 41.123901095882445, 40.410545146899416, 39.02492356027868, 37.016287442943, 34.45665396895214, 31.44008869741955, 28.077101550674456, 24.489667115011862, 20.805316014926365, 17.15176674521101, 13.649609698114338, 10.408005406143905, 7.519562960214941, 5.0555770710269305, 3.0632800984403037, 1.5651315833236716, 0.5580348783991688, 0.014329364291062324, -0.1153216263400008, 0.10179042726471749, 0.5847890165638764, 1.2446181356294777, 1.9897169324484587, 2.731562117740422, 3.3900263550359315, 3.8981054981783854, 4.2057847399979265, 4.28261145557425, 4.119072955321119, 3.7267267852128882, 3.1369258661629074, 2.3981222742603157, 1.572328914888292, 0.7305855428734279, -0.052264347796574316, -0.7027414184727715, -1.1539594020629471, -1.3507445077491502, -1.2535487222094375, -0.8414927900167315, -0.11447012519535113, 0.9063765280195486, 2.1794643000471003, 3.644594353127744, 5.226765215322225, 6.84057740478584, 8.394608928545626, 9.797226626610607, 10.963484970953878, 11.819089904321107, 12.30465970840674, 12.38140711147701, 12.033575905281548, 11.268110416523875, 10.11521123791805, 8.628634655748504, 6.880729777488514, 4.957965672266562, 2.957105296975313, 0.9792626800684375, -0.8773062412277188, -2.5227521516897857, -3.880896383806949, -4.894664823269549, -5.5296071236836815, -5.776168044745347, -5.6508325995518565, -5.195141198605941, -4.473168868956454, -3.5681124558561725, -2.5769998764631707, -1.60449200682288, -0.756350750608483, -0.1325989747956692, 0.1793135886929151, 0.11051081508157432, -0.3841525230122092, -1.3222986349071923, -2.6918528572655798, -4.450523381120672, -6.527166459567376, -8.824768564329052, -11.22487641655797, -13.594092792303833, -15.791157895597744, -17.673953507294073, -19.107556255785486, -19.973124000432094, -20.173725796427888, -19.639913180994515, -18.335495687307958, -16.260125927863843, -13.449242571193695, -9.973946234889553, -5.939002796174949, -1.476360005990687, 3.2599384806636773, 8.100058185746528, 12.8673901176418, 17.387849468803175, 21.49608776358241, 25.04419083263039, 27.90864753027465, 29.99593923535303, 31.245615078371596, 31.633883837930924, 31.17225251997075, 29.907022238208445, 27.91698330042288, 25.307756866081444, 22.204993090022857, 18.749455448145152, 15.090137027750277, 11.375248634143551, 7.745713945064308, 4.3300843865519605, 1.2384784113303893, -1.441825873744214, -3.648674952777214, -5.346392270705739, -6.525624275437141, -7.201567670448579, -7.411412273827405, -7.21080346199939, -6.668992143516685, -5.864043619258435, -4.878047527073954, -3.7922970031808134, -2.682899494868659, -1.6170948823464928, -0.6503399565580826, 0.175334956077118, 0.8322286812531147, 1.3072409054928782, 1.6006772569806706, 1.7243935525849934, 1.699760675256187, 1.555151224270374, 1.3227961963834391, 1.0360868981801896, 0.7272226828273477, 0.4249066052473616, 0.15262604099097568, -0.07240954735141862, -0.23973137771483002, -0.3455409246411651, -0.3921042630764977, -0.386766274570544, -0.3405381964668579, -0.266586386379476, -0.17875011042508887, -0.0901247299005548, -0.011788767044445859, 0.048100895352246154, 0.08497238181847988, 0.09794247613623693, 0.08935075849441042, 0.06414326396431033, 0.029125176289563737, -0.007637586607076715, -0.03792712117934946, -0.05496949120077765, -0.05507660515441224, -0.03745909641334833], 'positive_zeros': ['0.092742387068855774462298142356227', '0.50703506543731530270446824940554', '0.823118429253004335813725830262538', '1.08414002896829867392297372945391', '1.60485374640931317454032050579479', '1.88723688085889009487778301271012', '2.49557265211285296202468567236342', '2.57326640511419660239006376063064', '3.38478337584057942038021712557962', '3.42034549365550281877376625768521', '3.73973190031628130907894059642100', '4.17146902968841297812886795461705', '4.56845285496617647628659917294243', '4.80177503316309585991159397723887', '4.89996542908997233300932179086424', '5.04821341870029481448958778207896', '5.91126277404953145765458783993603', '6.02060327468357356532514031777829', '6.11807911051165345421185958270959', '6.16221680042365728170294524695163', '6.75756850157364672983408263036426', '6.96270304934182491780245541263637', '7.31594869983354040218129889809555', '7.50662608048168609205794364015625', '7.60265475787005885523531859904515', '7.996093207311133050971425787701902', '8.492095190300712325178801568985688', '8.579720729718251855214782708841239', '8.580969187360785353630292006043774', '8.677560078546156721799952053920680', '9.037355351624622303046758293007947', '9.391034478897736813604934927571728', '9.678637711320721846694431433759650', '9.947377369977773761253544671823562', '10.27217050949991608645598266359394', '10.46898081972947847047049845439873', '10.65580618653895184169797090805551', '10.71673538095802339354820289309788', '10.80027010386463807244771222791068', '11.12040554232925858169306432081135'], 'prelabel': '8-294e4-1.1-c5e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.866792775744461, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c5e4-0', 'trace_hash': 1351775494311637687, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.092742387068855774462298142356', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '0.50703506543731530270446824941', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.823118429253004335813725830263', 'prec': 107}}
• lfunc_search •

  Column	Type
  algebraic	boolean
  analytic_conductor	double precision
  bad_primes	bigint[]
  central_character	text
  conductor	numeric
  conductor_radical	bigint
  degree	smallint
  dirichlet_coefficients	numeric[]
  euler11	numeric[]
  euler13	numeric[]
  euler17	numeric[]
  euler19	numeric[]
  euler2	numeric[]
  euler23	numeric[]
  euler29	numeric[]
  euler3	numeric[]
  euler31	numeric[]
  euler37	numeric[]
  euler41	numeric[]
  euler43	numeric[]
  euler47	numeric[]
  euler5	numeric[]
  euler53	numeric[]
  euler59	numeric[]
  euler61	numeric[]
  euler67	numeric[]
  euler7	numeric[]
  euler71	numeric[]
  euler73	numeric[]
  euler79	numeric[]
  euler83	numeric[]
  euler89	numeric[]
  euler97	numeric[]
  euler_factors	numeric[]
  index	smallint
  instance_types	text[]
  instance_urls	text[]
  is_instance_Artin	boolean
  is_instance_BMF	boolean
  is_instance_CMF	boolean
  is_instance_DIR	boolean
  is_instance_ECNF	boolean
  is_instance_ECQ	boolean
  is_instance_G2Q	boolean
  is_instance_HMF	boolean
  is_instance_MaassGL3	boolean
  is_instance_MaassGL4	boolean
  is_instance_MaassGSp4	boolean
  is_instance_NF	boolean
  label	text
  motivic_weight	smallint
  mu_imag	numeric[]
  mu_real	smallint[]
  nu_imag	numeric[]
  nu_real_doubled	smallint[]
  order_of_vanishing	smallint
  prelabel	text
  primitive	boolean
  rational	boolean
  root_analytic_conductor	double precision
  root_angle	double precision
  self_dual	boolean
  spectral_label	text
  trace_hash	bigint
  z1	numeric

  
  {'algebraic': True, 'analytic_conductor': 4943465.78392231, 'bad_primes': [2, 3, 7], 'central_character': '1.1', 'conductor': 7471182096, 'conductor_radical': 42, 'degree': 8, 'dirichlet_coefficients': [1, -8, -18, 16, -53, 144, 0, 128, 81, 424, -191, -288, 758, 0, 954, -1024, -340, -648, -1769, -848, 0, 1528, -3236, -2304, 4552, -6064, 1458, 0, 8918, -7632, 1994, 2048, 3438, 2720, 0, 1296, -20587, 14152, -13644, -6784, -17628, 0, 31706, -3056, -4293, 25888, 33912, 18432, 0, -36416, 6120, 12128, -49239, -11664, 10123, 0, 31842, -71344, -56735, 15264, 67508, -15952, 0, 12288, -40174, -27504, -75723, -5440, 58248, 0, -17984, 10368, -3201, 164696, -81936, -28304, 0, 109152, -26612, 54272, -26244, 141024, 1898, 0, 18020, -253648, -160524, -24448, 176562, 34344, 0, -51776, -35892, -271296, 93757, -36864, 258846, 0, -15471, 72832], 'euler11': [1, 191, -234735, -9719226, 41745392524, -1565291066526, -6088421363715735, 797854400358389341, 672749994932560009201], 'euler13': [1, -758, 1119773, -651394122, 620591199680, -241858077739746, 154370216993230277, -38798906904680793806, 19004963774880799438801], 'euler17': [1, 340, -1792914, -316608000, 1462296318547, -449538085056000, -3614503688029618386, 973223837513337369620, 4064231406647572522401601], 'euler19': [1, 1769, 1045603, -5074270360, -9537626497976, -12564395764125640, 6410661272355499003, 26855413715848518190931, 37589973457545958193355601], 'euler2': [1, 8, 48, 128, 256, 0, 0, 0, 0], 'euler23': [1, 3236, -4980510, 8347326720, 129944731805059, 53726257902984960, -206325153364690980990, 862831621962770070784252, 1716155831334586342923895201], 'euler29': [1, -8918, 94005957, -513434114466, 3030612742864384, -10531123623495181434, 39548986083207663297357, -76955105251080608844383182, 176994576151109753197786640401], 'euler3': [1, 18, 243, 1458, 6561, 0, 0, 0, 0], 'euler31': [1, -1994, 10280849, 126744851310, -893708155041268, 3628597486626537810, 8426474654578280980049, -46789732411738303744322294, 671790528819082282036142601601], 'euler37': [1, 20587, 185423563, 2052793425004, 22636782601114654, 142348818993360100828, 891624847319836486375987, 6864658318324021727030805391, 23122483666661158726686253786801], 'euler41': [1, 17628, 559043720, 6284994802164, 102772436589056238, 728155621083467618964, 7503853393040232021971720, 27413273096670830293144258428, 180167782956420929503029846064801], 'euler43': [1, -31706, 928675201, -15399199599734, 231817912281723688, -2263812356603118554162, 20070047681197194910209049, -100732193017989982216655017742, 467056167777397914441056671494001], 'euler47': [1, -33912, 462240278, -7769017144224, 156694760249296899, -1781785291325173289568, 24313437507248843410513622, -409092269273020327711314711816, 2766668711962335809450748011342401], 'euler5': [1, 53, -1743, -89994, 2176954, -281231250, -17021484375, 1617431640625, 95367431640625], 'euler53': [1, 49239, 1103481011, 23861570178636, 556242294983257398, 9978801104608780087548, 192985002610168878844212539, 3601200221863880206614072362523, 30585627290848204916791848989276401], 'euler59': [1, 56735, 988331391, 45426593189460, 2162900736067650880, 32476575291932864688540, 505152731753026757042518791, 20731524240516604919724284974765, 261240335504588722483367157995242801], 'euler61': [1, -67508, 1731262802, -76748134547280, 3424209143194800779, -64821190547282997611280, 1234984048032320611204308002, -40672677850391507579855890688708, 508858109619679129936596364708525201], 'euler67': [1, 75723, 1872823325, 87906769364370, 5344056371181586764, 118685136394094368237590, 3413853158056330011522997925, 186358777162672789528386224056089, 3322737661703085672358476688602579601], 'euler7': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler71': [1, 17984, -1281576300, 20196268831296, 7266308356388688454, 36438701006110710568896, -4171842985702104813017136300, 105623735973588712475950072629184, 10596610576391421032662867140133202401], 'euler73': [1, 3201, -2300766979, -5874250509006, 1021915489991879958, -12177741860386129266558, -9887835597079422797642072371, 28518624565709704615148427307257, 18469587772135192290560825407466407201], 'euler79': [1, 26612, -3289450441, -57387814991556, 4333754463066999968, -176585543344395520766844, -31145424935506634963769065641, 775325171934803318495167280163788, 89648251976843595444986830377401534401], 'euler83': [1, -1898, 735015993, -8172974647422, 31173908734488788200, -32193679310403853172346, 11404538420643009268229209857, -116002565390535342195227957187886, 240747534123068430155382383568465195601], 'euler89': [1, -176562, 12318337010, -1357352851108032, 150281330424380661999, -7579539013856896209394368, 384106934648757047500653373010, -30743077459465655897236039356891138, 972299657790850297934682879408841327201], 'euler97': [1, -258846, 40635935441, -5314147598533998, 577796839140524515140, -45634393604530875208557486, 2996591921313809658359807102609, -163914537303301385419757807742579678, 5437943429267472574499737549036572950401], 'euler_factors': [[1, 8, 48, 128, 256, 0, 0, 0, 0], [1, 18, 243, 1458, 6561, 0, 0, 0, 0], [1, 53, -1743, -89994, 2176954, -281231250, -17021484375, 1617431640625, 95367431640625], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 191, -234735, -9719226, 41745392524, -1565291066526, -6088421363715735, 797854400358389341, 672749994932560009201], [1, -758, 1119773, -651394122, 620591199680, -241858077739746, 154370216993230277, -38798906904680793806, 19004963774880799438801], [1, 340, -1792914, -316608000, 1462296318547, -449538085056000, -3614503688029618386, 973223837513337369620, 4064231406647572522401601], [1, 1769, 1045603, -5074270360, -9537626497976, -12564395764125640, 6410661272355499003, 26855413715848518190931, 37589973457545958193355601], [1, 3236, -4980510, 8347326720, 129944731805059, 53726257902984960, -206325153364690980990, 862831621962770070784252, 1716155831334586342923895201], [1, -8918, 94005957, -513434114466, 3030612742864384, -10531123623495181434, 39548986083207663297357, -76955105251080608844383182, 176994576151109753197786640401], [1, -1994, 10280849, 126744851310, -893708155041268, 3628597486626537810, 8426474654578280980049, -46789732411738303744322294, 671790528819082282036142601601], [1, 20587, 185423563, 2052793425004, 22636782601114654, 142348818993360100828, 891624847319836486375987, 6864658318324021727030805391, 23122483666661158726686253786801], [1, 17628, 559043720, 6284994802164, 102772436589056238, 728155621083467618964, 7503853393040232021971720, 27413273096670830293144258428, 180167782956420929503029846064801], [1, -31706, 928675201, -15399199599734, 231817912281723688, -2263812356603118554162, 20070047681197194910209049, -100732193017989982216655017742, 467056167777397914441056671494001], [1, -33912, 462240278, -7769017144224, 156694760249296899, -1781785291325173289568, 24313437507248843410513622, -409092269273020327711314711816, 2766668711962335809450748011342401], [1, 49239, 1103481011, 23861570178636, 556242294983257398, 9978801104608780087548, 192985002610168878844212539, 3601200221863880206614072362523, 30585627290848204916791848989276401], [1, 56735, 988331391, 45426593189460, 2162900736067650880, 32476575291932864688540, 505152731753026757042518791, 20731524240516604919724284974765, 261240335504588722483367157995242801], [1, -67508, 1731262802, -76748134547280, 3424209143194800779, -64821190547282997611280, 1234984048032320611204308002, -40672677850391507579855890688708, 508858109619679129936596364708525201], [1, 75723, 1872823325, 87906769364370, 5344056371181586764, 118685136394094368237590, 3413853158056330011522997925, 186358777162672789528386224056089, 3322737661703085672358476688602579601], [1, 17984, -1281576300, 20196268831296, 7266308356388688454, 36438701006110710568896, -4171842985702104813017136300, 105623735973588712475950072629184, 10596610576391421032662867140133202401], [1, 3201, -2300766979, -5874250509006, 1021915489991879958, -12177741860386129266558, -9887835597079422797642072371, 28518624565709704615148427307257, 18469587772135192290560825407466407201], [1, 26612, -3289450441, -57387814991556, 4333754463066999968, -176585543344395520766844, -31145424935506634963769065641, 775325171934803318495167280163788, 89648251976843595444986830377401534401], [1, -1898, 735015993, -8172974647422, 31173908734488788200, -32193679310403853172346, 11404538420643009268229209857, -116002565390535342195227957187886, 240747534123068430155382383568465195601], [1, -176562, 12318337010, -1357352851108032, 150281330424380661999, -7579539013856896209394368, 384106934648757047500653373010, -30743077459465655897236039356891138, 972299657790850297934682879408841327201], [1, -258846, 40635935441, -5314147598533998, 577796839140524515140, -45634393604530875208557486, 2996591921313809658359807102609, -163914537303301385419757807742579678, 5437943429267472574499737549036572950401]], 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/294/6/e/s'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '8-294e4-1.1-c5e4-0-1', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5, 5, 5, 5], 'order_of_vanishing': 0, 'prelabel': '8-294e4-1.1-c5e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.866792775744461, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c5e4-0', 'trace_hash': 1351775494311637687, 'z1': {'__RealLiteral__': 0, 'data': '0.092742387068855774462298142356', 'prec': 107}}
• lfunc_instances •

  Column	Type
  Lhash	text
  Lhash_array	text[]
  label	text
  type	text
  url	text

  
  {'Lhash': '117564942634433803304697457629,642743305038372315385101015865,1043426570901488324566190656195,1374310758453113824927715283730', 'Lhash_array': ['117564942634433803304697457629', '642743305038372315385101015865', '1043426570901488324566190656195', '1374310758453113824927715283730'], 'label': '8-294e4-1.1-c5e4-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/294/6/e/s'}