Lfunction data - 8-294e4-1.1-c5e4-0-7

Formats: - HTML - YAML - JSON - 2025-05-24T22:35:22.043667

• 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': '640290923514271136072136029217,1264150321899650655168829371365,1280506584032574200127303049869,1529619682948906746807256202370', 'a10': 136, 'a2': 8, 'a3': 18, 'a4': 16, 'a5': 17, '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, -17, 153, 103938, -10650254, 324806250, 1494140625, -518798828125, 95367431640625], [1], [1, 145, -3207, -43191150, -28736332052, -6955977898650, -83181320695407, 605700984565269395, 672749994932560009201], [1, -1430, 2239637, -1766763570, 1402197521984, -655986946196010, 308752979109218813, -73195827010149782510, 19004963774880799438801], [1, -1372, 1046574, 2749356288, -3990131643437, 3903692771010816, 2109886800368511726, -3927244426671467267996, 4064231406647572522401601], [1, -1081, 433999, 4559264516, -8484957649496, 11289190308803084, 2660876624819376199, -16410798319294656961219, 37589973457545958193355601], [1, -4508, 2467842, -22456764288, 146546957639683, -144539437627718784, 102234084286513975458, -1201991641473475735196356, 1716155831334586342923895201], [1, -15730, 131763261, -872443481910, 4600659520841776, -17894818251534814590, 55433756985922275715461, -135737138999719441256127770, 176994576151109753197786640401], [1, -8816, 2245595, -160609526544, 2651926936135064, -4598114387466684144, 1840553183102651821595, -206869749720102751158448016, 671790528819082282036142601601], [1, -14573, 61179319, -182236764008, 3324004250276398, -12637018327189899656, 294185917258566385264831, -4859312462861804470200608489, 23122483666661158726686253786801], [1, 14700, 490563944, 4911665768100, 87005109939751086, 569046936473812988100, 6584672690156681075629544, 22859945230375607290062434700, 180167782956420929503029846064801], [1, 11842, 591514681, 5035652563246, 130941621878394424, 740283442811753485978, 12783509066479474609559569, 37622867271779390948389223494, 467056167777397914441056671494001], [1, -44808, 1055145014, -22131649627488, 394401192496214403, -5075783338737782752416, 55499712119362748353725686, -540534512903559060040357089144, 2766668711962335809450748011342401], [1, 9417, -757353913, 90806398272, 503800193861521878, 37974826492913388096, -132451710015992847912710737, 688732559338982511945504974469, 30585627290848204916791848989276401], [1, 5077, -531271125, -4431213438888, -219243170901961256, -3167982161516382739512, -271541572532379220330846125, 1855185486368252457520757818223, 261240335504588722483367157995242801], [1, -42368, -290546614, -16794736040448, 2120269165248284219, -14184771936033767182848, -207259367604551649200063014, -25526160087180591828277157917568, 508858109619679129936596364708525201], [1, 30501, -1380866887, -11867095015326, 2262669185659976988, -16022062927346182389882, -2517096364677305262447239263, 75064763179465720499786170911543, 3322737661703085672358476688602579601], [1, -183488, 19243530708, -1324327197272256, 66186395210023440070, -2389389999646171413185856, 62642379235877613302875420308, -1077662815075725404514408748141888, 10596610576391421032662867140133202401], [1, 85665, 2935374389, 22013733392250, -123398919101099178, 45636045351349001354250, 12615140794016698585059651461, 763213987323187080867444556474905, 18469587772135192290560825407466407201], [1, 94646, 3492510509, -65188188816186, -7162029708206797036, -200587733536065366074214, 33068053720687616175029735309, 2757456268711160186468270043528554, 89648251976843595444986830377401534401], [1, 67682, 17462092521, 818781659160366, 106614302725122210664, 3225214233175654928755338, 270942546770635294399204954929, 4136609921371028993918555636665174, 240747534123068430155382383568465195601], [1, -27558, -10411241470, -70712064288, 89361702837866877519, -394860370745701857312, -324640415640789426404365133470, -4798414883315518317735587343806742, 972299657790850297934682879408841327201], [1, -93342, 28401979937, -2025450376538910, 356816300869612931076, -17393231557008390169899870, 2094430525712949456149128978913, -59108932496406194872051464153619806, 5437943429267472574499737549036572950401], [1, -97760, -10391206182, 104796493027200, 187024204049804114923, 1101421673868217726627200, -1147835625834688759648219288182, -113496325076971056797921623594737760, 12201900399479668244827490915525641902001], [1, 7979, -21020643749, -16765261728784, 309418368557427864388, -194355332710332892646512, -2824998743863872916784199351701, 12431022017057500587988093577255453, 18061112346694138117573133075817258818401], [1, 89121, -5678033497, -1286055998629596, -122593178514382834992, -18037600666550566980417972, -1116955130035916702966782744753, 245887649940091272868102924305573603, 38696844624861790832365403138487376998001], [1, 276591, 26734522769, 5254006305697674, 1063036238888334648474, 80839399611420935736109026, 6329033806088646498055764617369, 1007477866007430861733316072933938059, 56044107677782919374398655242916531006801], [1, -487564, 161913024648, -33966649399133220, 5494529360214085462606, -625813497759122514552863460, 54962467347377394344441753398152, -3049357082431598683265914179355439948, 115230877647233745723406127208308085892801]], 'euler_factors_factorization': [[[[1, -4, 16], 2]], [[[1, -9, 81], 2]], [[[1, -17, 153, 103938, -10650254, 324806250, 1494140625, -518798828125, 95367431640625], 1]], [1], [[[1, 145, -3207, -43191150, -28736332052, -6955977898650, -83181320695407, 605700984565269395, 672749994932560009201], 1]], [[[1, -715, 864206, -265474495, 137858491849], 2]], [[[1, -1372, 1046574, 2749356288, -3990131643437, 3903692771010816, 2109886800368511726, -3927244426671467267996, 4064231406647572522401601], 1]], [[[1, -1081, 433999, 4559264516, -8484957649496, 11289190308803084, 2660876624819376199, -16410798319294656961219, 37589973457545958193355601], 1]], [[[1, -4508, 2467842, -22456764288, 146546957639683, -144539437627718784, 102234084286513975458, -1201991641473475735196356, 1716155831334586342923895201], 1]], [[[1, -7865, 34952518, -161320186885, 420707233300201], 2]], [[[1, -8816, 2245595, -160609526544, 2651926936135064, -4598114387466684144, 1840553183102651821595, -206869749720102751158448016, 671790528819082282036142601601], 1]], [[[1, -14573, 61179319, -182236764008, 3324004250276398, -12637018327189899656, 294185917258566385264831, -4859312462861804470200608489, 23122483666661158726686253786801], 1]], [[[1, 7350, 218270722, 851543077350, 13422659310152401], 2]], [[[1, 5921, 278228220, 870436991003, 21611482313284249], 2]], [[[1, -44808, 1055145014, -22131649627488, 394401192496214403, -5075783338737782752416, 55499712119362748353725686, -540534512903559060040357089144, 2766668711962335809450748011342401], 1]], [[[1, 9417, -757353913, 90806398272, 503800193861521878, 37974826492913388096, -132451710015992847912710737, 688732559338982511945504974469, 30585627290848204916791848989276401], 1]], [[[1, 5077, -531271125, -4431213438888, -219243170901961256, -3167982161516382739512, -271541572532379220330846125, 1855185486368252457520757818223, 261240335504588722483367157995242801], 1]], [[[1, -42368, -290546614, -16794736040448, 2120269165248284219, -14184771936033767182848, -207259367604551649200063014, -25526160087180591828277157917568, 508858109619679129936596364708525201], 1]], [[[1, 30501, -1380866887, -11867095015326, 2262669185659976988, -16022062927346182389882, -2517096364677305262447239263, 75064763179465720499786170911543, 3322737661703085672358476688602579601], 1]], [[[1, -91744, 5413284586, -165527217578144, 3255243551009881201], 2]], [[[1, 85665, 2935374389, 22013733392250, -123398919101099178, 45636045351349001354250, 12615140794016698585059651461, 763213987323187080867444556474905, 18469587772135192290560825407466407201], 1]], [[[1, 94646, 3492510509, -65188188816186, -7162029708206797036, -200587733536065366074214, 33068053720687616175029735309, 2757456268711160186468270043528554, 89648251976843595444986830377401534401], 1]], [[[1, 33841, 8158439620, 133301074399763, 15516041187205853449], 2]], [[[1, -27558, -10411241470, -70712064288, 89361702837866877519, -394860370745701857312, -324640415640789426404365133470, -4798414883315518317735587343806742, 972299657790850297934682879408841327201], 1]], [[[1, -46671, 13111898848, -400779757134447, 73742412689492826049], 2]], [[[1, -97760, -10391206182, 104796493027200, 187024204049804114923, 1101421673868217726627200, -1147835625834688759648219288182, -113496325076971056797921623594737760, 12201900399479668244827490915525641902001], 1]], [[[1, 7979, -21020643749, -16765261728784, 309418368557427864388, -194355332710332892646512, -2824998743863872916784199351701, 12431022017057500587988093577255453, 18061112346694138117573133075817258818401], 1]], [[[1, 89121, -5678033497, -1286055998629596, -122593178514382834992, -18037600666550566980417972, -1116955130035916702966782744753, 245887649940091272868102924305573603, 38696844624861790832365403138487376998001], 1]], [[[1, 276591, 26734522769, 5254006305697674, 1063036238888334648474, 80839399611420935736109026, 6329033806088646498055764617369, 1007477866007430861733316072933938059, 56044107677782919374398655242916531006801], 1]], [[[1, -243782, 51241680562, -4491525328801126, 339456738992222314849], 2]]], 'gamma_factors': [[], [0, 0, 0, 0]], 'group': 'GL2', 'index': 7, 'label': '8-294e4-1.1-c5e4-0-7', 'leading_term': '40.975959184035425877145327458225547397496462624815651351451725209357287609020027030903779', '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/y', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.017578125', 'prec': 37}, 'plot_values': [40.975959184035425, 40.773980596632676, 40.48040767975526, 40.04366166340702, 39.41483006238666, 38.57000569540242, 37.52728905556692, 36.312106419180026, 34.94935580427024, 33.456778982009574, 31.846340143676546, 30.1301424770124, 28.32243488571939, 26.44016621575993, 24.501913856572084, 22.52647329711482, 20.53212417905085, 18.536597228307894, 16.556992086180372, 14.609757766569547, 12.710608357241487, 10.874227540404467, 9.114146220420364, 7.442535380925672, 5.870062758491324, 4.4058010237501986, 3.0571866913409886, 1.8299647424900078, 0.7281358873201944, -0.24603399424158, -1.0919784490914306, -1.8107929899473048, -2.4051624339925155, -2.8792585977808294, -3.2386344685854267, -3.490086011138762, -3.641492623247609, -3.701654342490492, -3.680136024883775, -3.587066711321886, -3.4329433318457667, -3.2284462800501403, -2.9842685458195257, -2.7109122348913535, -2.418505643693819, -2.1166422464635373, -1.8142419899907116, -1.519397341530938, -1.2392477788921952, -0.9798863800724189, -0.7462899473329576, -0.5422501716393654, -0.3703385206706931, -0.2319039446226392, -0.1270893704844119, -0.05486251910209633, -0.01307923797573705, 0.0014323229346530054, -0.0072281384578691005, -0.034152393039754175, -0.07375987980839539, -0.11994401667395915, -0.1662305226061682, -0.20594324603851802, -0.23237016640426353, -0.2389322956716974, -0.21935292436494452, -0.16781424947840753, -0.07910745832247758, 0.05122673201899562, 0.2267761731119574, 0.45015205188228635, 0.7228995450363329, 1.045439307599479, 1.4170270574311503, 1.8357266435463326, 2.2984209835571034, 2.800857797603393, 3.3376948189179014, 3.9025645039315777, 4.488204607201308, 5.086569510846414, 5.688958327654827, 6.286172443362864, 6.868715931030377, 7.426921770157705, 7.9511483559889236, 8.432007588206744, 8.86051539258474, 9.22821870136162, 9.52743491829275, 9.751451036806282, 9.894553410384066, 9.952141178425421, 9.920975343119308, 9.799198194986229, 9.586277347275797, 9.283082232779952, 8.892046867965908, 8.41697826380498, 7.8629542269426285, 7.236358715558023, 6.544833866100471, 5.796998349455445, 5.002313276089259, 4.171042006330184, 3.3140119798654624, 2.4423505805414143, 1.567352332377358, 0.7003229870301086, -0.14769497990238795, -0.9661220264624402, -1.7449535365452433, -2.474963919872811, -3.1479056848042486, -3.7566106542225435, -4.295068643575322, -4.758554206906281, -5.143721031622683, -5.448589900951716, -5.672547577347984, -5.816343854950157, -5.882082699709037, -5.873103898353976, -5.793872913402828, -5.649874842040106, -5.447521040703476, -5.19394906353924, -4.896841995820284, -4.564270892871374, -4.204554427363246, -3.826038067666222, -3.436911592750187, -3.04505527582844, -2.6579104411020698, -2.2823120459122834, -1.9243620580909078, -1.5893315559801693, -1.281603409134574, -1.0046019379454403, -0.7607551229306441, -0.5514938580837254, -0.3772875606473037, -0.2376765807827895, -0.1313293333576944, -0.05613794483291727, -0.009323479838587688, 0.012455754407243187, 0.01297705134527267, -0.0036854801513175, -0.03329317102989393, -0.07157877143872364, -0.11438016090670293, -0.15775967982943417, -0.19811508414445275, -0.23228292344211887, -0.25761263359482217, -0.2720252744577478, -0.2740616998258632, -0.2629015325031558, -0.23835595152931732, -0.20084952746895887, -0.15138196684616417, -0.09146343350882069, -0.023043122750048772, 0.05157535453796598, 0.12984169914408106, 0.20905617229898746, 0.2864687316818572, 0.3593944896304514, 0.42532504127427373, 0.48200399522935056, 0.5275111903231116, 0.5603457179099844, 0.5794798487645954, 0.5843770856632686, 0.5750233756243992, 0.5519220691852217, 0.5160735084031104, 0.4689279709793815, 0.4123378195906592, 0.348472318933152, 0.27973938303409396, 0.2086938643300445, 0.1379298453527189, 0.06997209959138033, 0.007180512167697352, -0.048346193239396935, -0.09486772328949102, -0.13107735750522725, -0.15616373320752955, -0.16985599485530314, -0.1724484060172681, -0.16480404215366484, -0.14834352994212424, -0.12500141566037457, -0.0971644297260776, -0.067596081357864, -0.03934610258834829, -0.015635801649777098, 0.0002601632236415705, 0.0051357798983616846, -0.004018467802350749, -0.029889528945545373, -0.07472766122215418, -0.14024331534231688, -0.22750893538017256, -0.33689033416823444, -0.46800765906290737, -0.6197094423243911, -0.7900578525942383, -0.9763700505160499, -1.1752911581154968, -1.382856295458511, -1.59457910007609, -1.805614700048745, -2.0108974775414277, -2.2052647714408686, -2.383627588596096, -2.5411836693336953, -2.673528425210011, -2.7767895824697675, -2.847821791587807, -2.884319921205829, -2.8848551883229305, -2.848959729147818, -2.7772332066708314, -2.6712722401167004, -2.5336186303851287, -2.367756793984875, -2.178020271396945, -1.9694019008802162, -1.7474228105232144, -1.5180201391388393, -1.2872972142747787, -1.0613186015447893, -0.8459526663655885, -0.6466796390165555, -0.4683597575981959, -0.31509320579162947, -0.19010357492018562, -0.095599271430087, -0.03268757439777604, -0.0013570043470522023, -0.0004719762073094609, -0.027803101347556692, -0.08011633532366612, -0.15328932497741526, -0.24245437358121982, -0.34218139175204937, -0.4466975937720326, -0.5500908930393905, -0.6465308918609027, -0.7304993102920985, -0.7970386730337888, -0.8419304915821667, -0.8618585012505159, -0.8545643337069436, -0.8189963134192255, -0.7553368408393255, -0.6650102707417673, -0.5506744536052871, -0.41617040660357957, -0.2663654865471646, -0.10699049766938151, 0.05554707628687426, 0.2143949363935454, 0.36252086542414286, 0.49297447959433366, 0.5991542790262485, 0.6750910402730844, 0.7156843997042402, 0.7169223121095409, 0.6760551763964481, 0.5917846837505627, 0.464334288355751, 0.29546790005908236, 0.08846647008103134, -0.151877321949167, -0.41943854623898413, -0.7069780597324339, -1.0063439937920526, -1.3086876692499123, -1.604847392793269, -1.88565144191133, -2.1422035355421905, -2.366231480815454, -2.550429775990719, -2.6886696770086456, -2.7762404035956276, -2.8101317999512743, -2.789075044766699, -2.7135643862137093, -2.5859543894662003, -2.410406900789624, -2.1926280209313718, -1.9396907376254067, -1.659911670189362, -1.3624327739195803, -1.0568300168929352, -0.7528381519851762, -0.4600065092677022, -0.18721980756647547, 0.057628870943314925, 0.26787211478237744, 0.4384013036717248, 0.565900146720336, 0.6489454651166296, 0.6880653135170828, 0.6857699455695582, 0.6464344677326956, 0.576119906747406, 0.4823537411620829, 0.3738216238901674, 0.25997962263075375, 0.15068001253973592, 0.05575890059710172, -0.015403853834601277, -0.05432110300515715, -0.053761655545071264, -0.008094028993649372, 0.08641528984382152, 0.23139160218877514, 0.4262402335369895, 0.6680921955247398, 0.9518425013657241, 1.2703596310895056, 1.6147021936062167, 1.974390739946186, 2.337798909593665, 2.6927317339491377, 3.026814617623726, 3.3279313300459408, 3.584755434567941, 3.787400912341119, 3.927703141318518, 3.999542568773236, 3.9991606505437085, 3.9255516083991586, 3.780398391233934, 3.5680068823870834, 3.2951901931103174, 2.9712236674406847, 2.6073778041046762, 2.2164128156277925, 1.8121155734591672, 1.4088927220409104, 1.0210761366968402, 0.6622766515712917, 0.34486134411089936, 0.07948747841325735, -0.12543139564746442, -0.26410202070822364, -0.33359719683343403, -0.3340041064405847, -0.26844871543053145, -0.14297837458261123, 0.03367788418771051, 0.25049044787621605, 0.49460681921258476, 0.7519021452502154, 1.007636977258275, 1.2471724724937603, 1.4566112355359728, 1.6234681420500077, 1.7373459826008153, 1.790502145528934, 1.7782149851131863, 1.699148681410694, 1.5555275219239122, 1.3531623520873861, 1.10125903062092, 0.81214742989215, 0.500780996016935, 0.18415040085340206, -0.11942832172058973, -0.39113199851389374, -0.6124985415343848, -0.7663127793984674, -0.837455233811903, -0.8137020168346224, -0.6864253421336444, -0.4512104092965794, -0.1082399295197751, 0.33749851857779123, 0.876158703132723, 1.4932162840609755, 2.169907652874509, 2.8837915659433997, 3.609488489670657, 4.319775029086563, 4.9865897478984635, 5.582069937419385, 6.079751848098993, 6.456034824945952, 6.691085095757394, 6.769719409628704, 6.682323955085177, 6.425834220248384, 6.003874018640264, 5.426839234493879, 4.711843746701533, 3.8826467272963665, 2.968751317219687, 2.0044224490995837, 1.0276135958877441, 0.07886396782225306, -0.8003279181659707, -1.569087450865704, -2.188652831423178, -2.6238571190892577, -2.8446404034185306, -2.8272907715118425, -2.5554946549197957, -2.0211926942139793, -1.2250733725726848, -0.17678480751646605, 1.105147997104507, 2.5939256526423042, 4.255177641394424, 6.047850247907952, 7.925590580101141, 9.83878569167947, 11.735760680376528, 13.564239748649564, 15.273473151703291, 16.81669558599031, 18.15181896689843, 19.242628966625443, 20.060436446060844, 20.58585916182653, 20.808244683585297, 20.72582811361889, 20.345926352218957, 19.685565550152567, 18.769546701638735, 17.62922216790995, 16.301444435693124, 14.828188489395947, 13.253899996137521, 11.623505365821334, 9.981120615379403, 8.369341615441124, 6.82690724085436, 5.3872335276680605, 4.077784813040098, 2.9198402494746065, 1.9274467259317911, 1.107281852179768, 0.4590831723267453, -0.02370061196169771, -0.3534457897531051, -0.5473543416801776, -0.626235339091286, -0.6132481504991181, -0.532689283190028, -0.4086951598474002, -0.26402086823879456, -0.11899269596018319, 0.009378871953055506, 0.10808834112670349, 0.16856146247218518, 0.18682053900996998, 0.16340998072905466, 0.10306726391090285, 0.01415904082032972, -0.09204571182862728, -0.20225889290650204, -0.3021520062229997, -0.3773655857640826, -0.4145102840599358, -0.40207353451095224, -0.33120529545947, -0.19637669116972353, 0.0041775865965640105, 0.26832573140453014, 0.5900058441444966, 0.9594161987266598, 1.3636144254717355, 1.7871849344295643, 2.212878263044498, 2.622539294348369, 2.9984079333209697, 3.323825519507874, 3.5839857660990977, 3.766971576335824, 3.8646826982771616, 3.87288078987299, 3.791392741848291, 3.6244594906150738, 3.3805713909320234, 3.0716789567337135, 2.712624429650272, 2.320480460455126, 1.9136427700008982, 1.5106041871406881, 1.1290006750402883, 0.7846334542956136, 0.49067316802458794, 0.2568018513095532, 0.08868252126903475, -0.012311905671616953, -0.04909987683717826, -0.028741545412078885, 0.03805256484659514, 0.13766567110185998, 0.25447456892182185, 0.3719181396701516, 0.47368854358173507, 0.5449293651673396, 0.5733880693287428, 0.5504958523278792, 0.47226059652855557, 0.33992255700280233, 0.16032710282102877, -0.05398878730173906, -0.2850444102006663, -0.5100353250543477, -0.7022520135774405, -0.8322240010934666, -0.8691499711063276, -0.7825452251242476, -0.5438666381016284, -0.12819316389068797, 0.4841178773683812, 1.3060368499417399, 2.342689070526927, 3.5903726151883797, 5.0361721603312475, 6.6578859281430445, 8.424315767861419, 10.296021790149112, 12.226813057259895, 14.164917716998243, 16.05504403720218, 17.84088428843326, 19.467011361121706, 20.880615848546576, 22.034661290864488, 22.89026090679503, 23.417074186956906, 23.59464833235895, 23.41529888460764, 22.883616362414713, 22.01511305912441, 20.836335016489407, 19.385701628097898, 17.70993753248724, 15.86169540787053, 13.898527636854164, 11.88110337655199, 9.869153603214679, 7.919172347812703, 6.083005624226878, 4.405543186406847, 2.9224522496647514, 1.659268960990574, 0.6308762691720164, -0.15894576960730392, -0.7172540923653075, -1.0609065328390734, -1.215266214455224, -1.2125953844055375, -1.08994580213159, -0.8868639200737981, -0.6431092040047887, -0.3964682569573696, -0.18055619824394595, -0.022967899772577925, 0.05613623116995058, 0.04502956512733165, -0.05903943941659699, -0.24990374045075905, -0.5130539348144806, -0.8266585111661329, -1.1630788525408935, -1.4907454083571685, -1.7762733586857518, -1.986650436126873, -2.0915048436198878, -2.065291858716564, -1.8891233062384116, -1.5521971315176493, -1.0530138346532805, -0.4000064249210359, 0.38884627138968175, 1.2864166088453772, 2.257264191122648, 3.2595808060523264, 4.247665092034859, 5.173658874339439, 5.989969349616028, 6.652869465926835, 7.12457954631413, 7.375082892142242, 7.384524761078825, 7.145386411292483, 6.6623412753269395, 5.952659115052931, 5.046673142278937, 3.9862938763158122, 2.8228687202553715, 1.6154763031328518, 0.42854042726206143, -0.671767260184592, -1.620516710044824, -2.3570086029591573, -2.828048039572297, -2.9906449763026544, -2.81419424094394, -2.282567426441458, -1.3950520502652646, -0.1665550435421553, 1.372569546159386, 3.177514921260276, 5.1910348488328335, 7.345778908488845, 9.56717913724815, 11.776802137300656, 13.895586487624309, 15.847480387215217, 17.562966275998825, 18.981847710231524, 20.055600519320272, 20.75019665687513, 21.04677126386366, 20.94209294630187, 20.448818968421342, 19.595063638721086, 18.42155786630288, 16.97990217424538, 15.33081783250475, 13.54034646871138, 11.676087438149, 9.804720815411315, 7.98933676263311, 6.285707578718288, 4.740090781796535, 3.387917134333874, 2.2524076535060433, 1.343872200355315, 0.6600768982685616, 0.18709415711704844, -0.09929890278482556, -0.23160590446369972, -0.24831307967504168, -0.19134161621002932, -0.10327609757878808, -0.024774108363310215, 0.007833494822141915, -0.03530495859250275, -0.17595751671230897, -0.42668301477518494, -0.7902119497780351, -1.2596398010194434, -1.8190911271055605, -2.444743094417247, -3.1064966032976535, -3.7703028698194134, -4.400200885079294, -4.960469720281682, -5.418038685733432, -5.745026499682808, -5.920202165484198, -5.930241169472713, -5.770793741639875, -5.44731490950254, -4.974477337004537, -4.375332454457517, -3.680282779471535, -2.9257054783887426, -2.1516134474421937, -1.3994758671392127, -0.7100614586676259, -0.12116764018103468, 0.33453502247216577, 0.6312186286227609, 0.7513452470557043, 0.6866954193292302, 0.43869593082750685, 0.018315611416624116, -0.5545284407581142, -1.252037205784011, -2.0400722926022508, -2.8800550415959214, -3.7311409151601085, -4.552200475139817, -5.3039418435753705, -5.9512369968903425, -6.4647446190991, -6.822100088241046, -7.009093761706585, -7.020491226317489, -6.859655297589943, -6.538063003860434, -6.074854582269071, -5.495428083493706, -4.8296163786398045, -4.109982185781691, -3.370259305385289, -2.6432421991802384, -1.9590106511847096, -1.3433766650188759, -0.8167748247915736, -0.39336461078072776, -0.08052091269754787, 0.12137344481820338, 0.21840932142894862, 0.2224075106684254, 0.14998344790402565, 0.021307076832112897, -0.1414700242003845, -0.3156716521548742, -0.4795308034409808, -0.6136584797091167, -0.7021823349551478, -0.7335949344094636, -0.701382169444601, -0.6043854153969438, -0.44661303627602544, -0.2367882755823186, 0.01229334186200059, 0.2846805260399909, 0.5624874802413632, 0.8271284299287665, 1.0604325177586116, 1.245938663405996, 1.3700332379239604, 1.4226588878642068, 1.3978395342307954, 1.294276368109688, 1.1153499391784343, 0.8686485437193942, 0.5655172214063252, 0.22054950725231023, -0.14949850612115703, -0.5267769025056588, -0.8933258955990142, -1.2321470868350963, -1.5281580322281185, -1.768920201592121, -1.9453573024918642, -2.052248841561494, -2.08815693396659, -2.0553331766824456, -1.9596493142256852, -1.8099851068654051, -1.617377003446367, -1.3943752177771183, -1.1543097909080924, -0.9103127908323303, -0.6745157288162487, -0.4575178839160211, -0.2677885578992416, -0.11126834611906429, 0.008757229309204561, 0.09161346196866314, 0.13909715469811254, 0.1551124382931525, 0.14517962296694278, 0.11590646366136555, 0.07440828770051638, 0.02769264751329806, -0.01785649096343027, -0.05690507811857827, -0.08550901183887166, -0.10135763974386054, -0.10379198306978292, -0.09370851209263195, -0.07336996981342334, -0.046125699035149535, -0.015989884682314374, 0.012783284508822311, 0.03611206478008399, 0.05047355964147067, 0.053249990970475614, 0.04296772124869272, 0.019418972903428037, -0.016316658656805844, -0.061960874184879305, -0.11424878919211912, -0.1692298866079904, -0.22259385242551838, -0.27004140945422866, -0.30769578466691816, -0.3324142261777254, -0.34204200136025603, -0.33562137270527725, -0.31349839205698316, -0.27724108650411167, -0.22949911120452074, -0.17381764545898437, -0.11431087143151436, -0.05528023318166336, -0.0008187563402782197, 0.0455116602268591, 0.08099009805363683, 0.10398169012372564, 0.11412452907402744, 0.11229045545643652, 0.10045807511177847, 0.08151988828773839, 0.05899605120982201, 0.036568196374824925, 0.017637476039292346, 0.004894804072618796, -0.00010827009223875638, 0.0026802183080854346, 0.011586224580343484, 0.023102329368924507, 0.03195377599404414, 0.03133335518046485, 0.013267183935693674, -0.03087399693717618, -0.10966467493566179, -0.23094191698602118, -0.40113267961452154, -0.6245576928892659, -0.9026723043715118, -1.2336967019977665, -1.6124346280751065, -2.0301376639679205, -2.4744944876434314, -2.930276092436386, -3.3800104880131188, -3.804669356064914, -4.184626019308721, -4.501036921104471, -4.736751797856257, -4.8772949093505575, -4.912086481101636, -4.835199668015954, -4.6456314934763485, -4.34765557631785, -3.951052873791558, -3.470387917004636, -2.924284585354437, -2.334698022742521, -1.7256608411220598, -1.1218158745327953, -0.547177267322692, -0.02381772920121427, 0.42961449369452887, 0.798763881286166, 1.0742725519547158, 1.2523794388965712, 1.335112882937172, 1.3297946866008585, 1.248517261251644, 1.1072525060605436, 0.9247097238616442, 0.7208829655302418, 0.5156890230325837, 0.32752814144840015, 0.17202798947025472, 0.06093938004107087, 0.0013354418296268131, -0.004835455755621326, 0.039182894540588535, 0.12527100497468388, 0.24111367665389, 0.37119060043605717, 0.4980761967780077, 0.6038529964376356, 0.6715379685742264, 0.6865127074227029, 0.6379283182477267, 0.5196227245618658, 0.3307563249644301, 0.07616543711415917, -0.23368319577891364, -0.583343856476479, -0.953317595814835, -1.3213292127961962, -1.6638044703869548, -1.9575049711769774, -2.1812418608175244, -2.3174994134992657, -2.3536838812743013, -2.2831336081411417, -2.1059055117604712, -1.8288180158141, -1.465049266585122, -1.033476503272163, -0.5575380422941506, -0.06354179854915382, 0.42120156353573623, 0.8700813438137337, 1.2590112334309222, 1.5681252336800409, 1.7834337034603311, 1.8976054739129948, 1.9102194591575414, 1.827788014867727, 1.6635853623397094, 1.4361387641231855, 1.1675137514242049, 0.881689535858947, 0.6028041017419022, 0.35259996109156033, 0.14848964492223396, 0.002014477334916639, -0.08227725333782991, -0.10739500860881326, -0.08385547885624486, -0.029190523870146215, 0.03307609791435767, 0.07563457324778808, 0.07025306309784705, -0.009815249941024345, -0.1885994957376085], 'positive_zeros': ['0.50510047752826556181187544363605', '0.997238767269191879975185284191386', '1.01014158302140210497071994057438', '1.20665716773495165276883170874587', '1.93049386791112649505341113217677', '2.57189811406291981292522892392628', '2.61629709482229829887315325954779', '2.88837106324707741735551364691991', '3.27166975522654527170443825394219', '3.51521060250198136938902874586479', '3.54603006540718093072341253583989', '4.27314178189335460643023401282443', '4.28843340980056605450040899466223', '4.65218874613846960753960728248020', '4.87587761778495740807983129983258', '5.32182033156827062176683177933504', '5.56778190859427566315110239281776', '5.62696560950992328931978333672346', '6.15854051986927308290648528615360', '6.27235775013177953852918428844981', '6.58472140465714850008773130397664', '6.73707232042765328082246403822068', '7.13822978916572095977197972372516', '7.31511950289873240310058225063497', '7.909137474388251134975605044038840', '8.066944718888033800264114613884367', '8.176296732633113934363904233774030', '8.331714475335094049326314694796051', '8.803696442792819481291452226363667', '8.850679095355202899914665529707261', '9.048494602585281511426320089674751', '9.197571344863111483750531598743724', '9.804594358438820541220395401416419', '9.987952129026102352067864744814187', '10.02905493823814016042600621731338', '10.27487977604014945036251317978953', '10.60623696231989758243151186032461', '10.75989106883696451789611860093105', '11.29536247899137367569318142381628', '11.39978131817710199378972661646155'], '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': 1559938171117058082, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.50510047752826556181187544364', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.997238767269191879975185284191', 'prec': 107}, 'z3': {'__RealLiteral__': 0, 'data': '1.01014158302140210497071994057', 'prec': 103}}
• 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, 17, 144, 0, -128, 81, 136, -145, 288, 1430, 0, 306, -1024, 1372, 648, 1081, 272, 0, -1160, 4508, -2304, 136, 11440, -1458, 0, 15730, 2448, 8816, -2048, -2610, 10976, 0, 1296, 14573, 8648, 25740, -2176, -14700, 0, -11842, -2320, 1377, 36064, 44808, -18432, 0, 1088, 24696, 22880, -9417, -11664, -2465, 0, 19458, 125840, -5077, 4896, 42368, 70528, 0, 12288, 24310, -20880, -30501, 21952, 81144, 0, 183488, -10368, -85665, 116584, 2448, 17296, 0, 205920, -94646, -17408, -26244, -117600, -67682, 0, 23324, -94736, 283140, 18560, 27558, 11016, 0, 72128, 158688, 358464, 18377, -36864, 93342, 0, -11745, 2176], 'euler11': [1, 145, -3207, -43191150, -28736332052, -6955977898650, -83181320695407, 605700984565269395, 672749994932560009201], 'euler13': [1, -1430, 2239637, -1766763570, 1402197521984, -655986946196010, 308752979109218813, -73195827010149782510, 19004963774880799438801], 'euler17': [1, -1372, 1046574, 2749356288, -3990131643437, 3903692771010816, 2109886800368511726, -3927244426671467267996, 4064231406647572522401601], 'euler19': [1, -1081, 433999, 4559264516, -8484957649496, 11289190308803084, 2660876624819376199, -16410798319294656961219, 37589973457545958193355601], 'euler2': [1, -8, 48, -128, 256, 0, 0, 0, 0], 'euler23': [1, -4508, 2467842, -22456764288, 146546957639683, -144539437627718784, 102234084286513975458, -1201991641473475735196356, 1716155831334586342923895201], 'euler29': [1, -15730, 131763261, -872443481910, 4600659520841776, -17894818251534814590, 55433756985922275715461, -135737138999719441256127770, 176994576151109753197786640401], 'euler3': [1, -18, 243, -1458, 6561, 0, 0, 0, 0], 'euler31': [1, -8816, 2245595, -160609526544, 2651926936135064, -4598114387466684144, 1840553183102651821595, -206869749720102751158448016, 671790528819082282036142601601], 'euler37': [1, -14573, 61179319, -182236764008, 3324004250276398, -12637018327189899656, 294185917258566385264831, -4859312462861804470200608489, 23122483666661158726686253786801], 'euler41': [1, 14700, 490563944, 4911665768100, 87005109939751086, 569046936473812988100, 6584672690156681075629544, 22859945230375607290062434700, 180167782956420929503029846064801], 'euler43': [1, 11842, 591514681, 5035652563246, 130941621878394424, 740283442811753485978, 12783509066479474609559569, 37622867271779390948389223494, 467056167777397914441056671494001], 'euler47': [1, -44808, 1055145014, -22131649627488, 394401192496214403, -5075783338737782752416, 55499712119362748353725686, -540534512903559060040357089144, 2766668711962335809450748011342401], 'euler5': [1, -17, 153, 103938, -10650254, 324806250, 1494140625, -518798828125, 95367431640625], 'euler53': [1, 9417, -757353913, 90806398272, 503800193861521878, 37974826492913388096, -132451710015992847912710737, 688732559338982511945504974469, 30585627290848204916791848989276401], 'euler59': [1, 5077, -531271125, -4431213438888, -219243170901961256, -3167982161516382739512, -271541572532379220330846125, 1855185486368252457520757818223, 261240335504588722483367157995242801], 'euler61': [1, -42368, -290546614, -16794736040448, 2120269165248284219, -14184771936033767182848, -207259367604551649200063014, -25526160087180591828277157917568, 508858109619679129936596364708525201], 'euler67': [1, 30501, -1380866887, -11867095015326, 2262669185659976988, -16022062927346182389882, -2517096364677305262447239263, 75064763179465720499786170911543, 3322737661703085672358476688602579601], 'euler7': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler71': [1, -183488, 19243530708, -1324327197272256, 66186395210023440070, -2389389999646171413185856, 62642379235877613302875420308, -1077662815075725404514408748141888, 10596610576391421032662867140133202401], 'euler73': [1, 85665, 2935374389, 22013733392250, -123398919101099178, 45636045351349001354250, 12615140794016698585059651461, 763213987323187080867444556474905, 18469587772135192290560825407466407201], 'euler79': [1, 94646, 3492510509, -65188188816186, -7162029708206797036, -200587733536065366074214, 33068053720687616175029735309, 2757456268711160186468270043528554, 89648251976843595444986830377401534401], 'euler83': [1, 67682, 17462092521, 818781659160366, 106614302725122210664, 3225214233175654928755338, 270942546770635294399204954929, 4136609921371028993918555636665174, 240747534123068430155382383568465195601], 'euler89': [1, -27558, -10411241470, -70712064288, 89361702837866877519, -394860370745701857312, -324640415640789426404365133470, -4798414883315518317735587343806742, 972299657790850297934682879408841327201], 'euler97': [1, -93342, 28401979937, -2025450376538910, 356816300869612931076, -17393231557008390169899870, 2094430525712949456149128978913, -59108932496406194872051464153619806, 5437943429267472574499737549036572950401], 'euler_factors': [[1, -8, 48, -128, 256, 0, 0, 0, 0], [1, -18, 243, -1458, 6561, 0, 0, 0, 0], [1, -17, 153, 103938, -10650254, 324806250, 1494140625, -518798828125, 95367431640625], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 145, -3207, -43191150, -28736332052, -6955977898650, -83181320695407, 605700984565269395, 672749994932560009201], [1, -1430, 2239637, -1766763570, 1402197521984, -655986946196010, 308752979109218813, -73195827010149782510, 19004963774880799438801], [1, -1372, 1046574, 2749356288, -3990131643437, 3903692771010816, 2109886800368511726, -3927244426671467267996, 4064231406647572522401601], [1, -1081, 433999, 4559264516, -8484957649496, 11289190308803084, 2660876624819376199, -16410798319294656961219, 37589973457545958193355601], [1, -4508, 2467842, -22456764288, 146546957639683, -144539437627718784, 102234084286513975458, -1201991641473475735196356, 1716155831334586342923895201], [1, -15730, 131763261, -872443481910, 4600659520841776, -17894818251534814590, 55433756985922275715461, -135737138999719441256127770, 176994576151109753197786640401], [1, -8816, 2245595, -160609526544, 2651926936135064, -4598114387466684144, 1840553183102651821595, -206869749720102751158448016, 671790528819082282036142601601], [1, -14573, 61179319, -182236764008, 3324004250276398, -12637018327189899656, 294185917258566385264831, -4859312462861804470200608489, 23122483666661158726686253786801], [1, 14700, 490563944, 4911665768100, 87005109939751086, 569046936473812988100, 6584672690156681075629544, 22859945230375607290062434700, 180167782956420929503029846064801], [1, 11842, 591514681, 5035652563246, 130941621878394424, 740283442811753485978, 12783509066479474609559569, 37622867271779390948389223494, 467056167777397914441056671494001], [1, -44808, 1055145014, -22131649627488, 394401192496214403, -5075783338737782752416, 55499712119362748353725686, -540534512903559060040357089144, 2766668711962335809450748011342401], [1, 9417, -757353913, 90806398272, 503800193861521878, 37974826492913388096, -132451710015992847912710737, 688732559338982511945504974469, 30585627290848204916791848989276401], [1, 5077, -531271125, -4431213438888, -219243170901961256, -3167982161516382739512, -271541572532379220330846125, 1855185486368252457520757818223, 261240335504588722483367157995242801], [1, -42368, -290546614, -16794736040448, 2120269165248284219, -14184771936033767182848, -207259367604551649200063014, -25526160087180591828277157917568, 508858109619679129936596364708525201], [1, 30501, -1380866887, -11867095015326, 2262669185659976988, -16022062927346182389882, -2517096364677305262447239263, 75064763179465720499786170911543, 3322737661703085672358476688602579601], [1, -183488, 19243530708, -1324327197272256, 66186395210023440070, -2389389999646171413185856, 62642379235877613302875420308, -1077662815075725404514408748141888, 10596610576391421032662867140133202401], [1, 85665, 2935374389, 22013733392250, -123398919101099178, 45636045351349001354250, 12615140794016698585059651461, 763213987323187080867444556474905, 18469587772135192290560825407466407201], [1, 94646, 3492510509, -65188188816186, -7162029708206797036, -200587733536065366074214, 33068053720687616175029735309, 2757456268711160186468270043528554, 89648251976843595444986830377401534401], [1, 67682, 17462092521, 818781659160366, 106614302725122210664, 3225214233175654928755338, 270942546770635294399204954929, 4136609921371028993918555636665174, 240747534123068430155382383568465195601], [1, -27558, -10411241470, -70712064288, 89361702837866877519, -394860370745701857312, -324640415640789426404365133470, -4798414883315518317735587343806742, 972299657790850297934682879408841327201], [1, -93342, 28401979937, -2025450376538910, 356816300869612931076, -17393231557008390169899870, 2094430525712949456149128978913, -59108932496406194872051464153619806, 5437943429267472574499737549036572950401]], 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/294/6/e/y'], '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-c5e4-0-7', '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': 1559938171117058082, 'z1': {'__RealLiteral__': 0, 'data': '0.50510047752826556181187544364', 'prec': 103}}
• lfunc_instances •

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

  
  {'Lhash': '640290923514271136072136029217,1264150321899650655168829371365,1280506584032574200127303049869,1529619682948906746807256202370', 'Lhash_array': ['640290923514271136072136029217', '1264150321899650655168829371365', '1280506584032574200127303049869', '1529619682948906746807256202370'], 'label': '8-294e4-1.1-c5e4-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/294/6/e/y'}