Lfunction data - 24-5054e12-1.1-c1e12-0-0

Formats: - HTML - YAML - JSON - 2024-06-06T16:58:28.678253

• 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': '175635968713691522841073045447,203613029388940067158134965257,567163189010323762176647520964,759508316617913645432567112820,840218545839124255466263576160,902666875436891480270479051928,962036481207373668376317794946,974466887293415421600706588358,1091997985902351008182236773581,1347378446495961156851842688721,1526869436132063640664542834735,1655572092263558080913091575129', 'a10': -36, 'a2': -12, 'a3': -3, 'a4': 78, 'a5': 3, 'a6': 36, 'a7': 12, 'a8': -364, 'a9': -3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.866156815161004e+19, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1]], [7, [1, -12, 66, -220, 495, -792, 924, -792, 495, -220, 66, -12, 1]], [19, [1]]], 'bad_primes': [2, 7, 19], 'central_character': '5054.1', 'coefficient_field': '1.1.1.1', 'conductor': 277730036355242457866969652754123469574639616, 'conductor_radical': 266, 'degree': 24, 'euler_factors': [[1, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1], [1, 3, 12, 31, 87, 204, 518, 1077, 2364, 4522, 9012, 16104, 29773, 48312, 81108, 122094, 191484, 261711, 377622, 446148, 570807, 610173, 708588, 531441, 531441], [1, -3, 18, -16, 111, 9, 843, 192, 4983, 5070, 25101, 26928, 149854, 134640, 627525, 633750, 3114375, 600000, 13171875, 703125, 43359375, -31250000, 175781250, -146484375, 244140625], [1, -12, 66, -220, 495, -792, 924, -792, 495, -220, 66, -12, 1], [1, -3, 27, -52, 321, -633, 5068, -6162, 44493, 53181, 214521, 714819, 3254114, 7863009, 25957041, 70783911, 651422013, -992396262, 8978271148, -12335379243, 68809200801, -122613279932, 700310464227, -855935011833, 3138428376721], [1, -6, 69, -313, 2457, -9351, 60021, -202677, 1170618, -3604684, 19073742, -54394341, 267700448, -707126433, 3223462398, -7919490748, 33434020698, -75252551361, 289709902989, -586761382467, 2004250381497, -3319208303749, 9512235937581, -10752962364222, 23298085122481], [1, -3, 90, -308, 4338, -17202, 144055, -651777, 3701421, -18294732, 78371055, -396204378, 1427548736, -6735474426, 22649234895, -89882018316, 309146383341, -925430135889, 3477137502295, -7058645852946, 30260835779058, -36525065961076, 181439451040410, -102815688922899, 582622237229761], [1], [1, -12, 186, -1658, 15363, -108468, 775071, -4590942, 27874257, -145882818, 795714999, -3834645210, 19472336470, -88196839830, 420933234471, -1774956246606, 7800359953137, -29548877405106, 114738324523119, -369314606585196, 1203091666872003, -2986311112705654, 7705331085738714, -11433717094967124, 21914624432020321], [1, 6, 189, 827, 16098, 51243, 857481, 1903662, 33458991, 48021516, 1076051490, 1010275254, 31747801084, 29297982366, 904959303090, 1171196753724, 23664908613471, 39046294927638, 510049696114401, 883935411702087, 8052966755846178, 11997409722043663, 79513667093737989, 73203058594234974, 353814783205469041], [1, 3, 114, 414, 7218, 21942, 354666, 820053, 13897071, 26981978, 474529956, 711522048, 15229888956, 22057183488, 456023287716, 803820106598, 12834236906991, 23477421165003, 314767380525546, 603681778823562, 6156167508249138, 10946003574517794, 93437624715811314, 76225430689214493, 787662783788549761], [1, 27, 546, 7940, 98736, 1045236, 9962042, 85765971, 683241063, 5063504190, 35282691924, 232316730960, 1449910534256, 8595719045520, 48302005243956, 256481677736070, 1280503753873143, 5947351805087247, 25559874246967178, 99226215526988388, 346808171362343856, 1031896213972911380, 2625487067340145554, 4803775788045431151, 6582952005840035281], [1, -27, 579, -8410, 108501, -1143327, 11198032, -95307882, 774146637, -5653258767, 40493107917, -267800042523, 1774771527482, -10979801743443, 68068914408477, -389628247480407, 2187553375115757, -11042009133876282, 53191819294053712, -222667819693542087, 866372372284857621, -2753282068253212010, 7771719740578240179, -14858883856338707907, 22563490300366186081], [1, -30, 711, -11838, 170055, -2044968, 22205544, -214645548, 1924674393, -15819491278, 122349452193, -878661744858, 5969212235742, -37782455028894, 226224137104857, -1257760293039946, 6580078739462793, -31554707808361764, 140369305324543656, -555860361518259576, 1987636898207438055, -5949691340108347434, 15365763924745101039, -27878812184136681210, 39959630797262576401], [1, -21, 534, -7574, 113202, -1223862, 13566054, -118987971, 1076572191, -8057972790, 63875580996, -431805629208, 3183555006940, -20294864572776, 141101158420164, -836602908976170, 5253328865551071, -27289297041910797, 146231417230841766, -620036785456088106, 2695485272684668722, -8476294203280357258, 28087936613933246166, -51915343516764258363, 116191483108948578241], [1, 6, 297, 1393, 45276, 176877, 4840021, 16633338, 406617735, 1274060544, 28114748154, 81312731598, 1626833500376, 4309574774694, 78974327564586, 189678311609088, 3208409512280535, 6955986985145634, 107275973315943709, 207779382280949049, 2818869743064780636, 4596570683380371269, 51941578698557375553, 55614215576233149582, 491258904256726154641], [1, -27, 825, -14740, 265530, -3604512, 48216978, -532394025, 5781875391, -54207191826, 502297883037, -4115256769011, 33483450014533, -242800149371649, 1748498930851797, -11133018850032054, 70061071369763151, -380621425114913475, 2033817862596356898, -8970374140847903328, 38987886097075355130, -127692558366973800860, 421671321473029155825, -814208988007921751793, 1779197418239532716881], [1, -18, 528, -7422, 132195, -1543986, 21068451, -212552820, 2414540025, -21457423702, 211045895973, -1667312271180, 14471550640326, -101706048541980, 785301778915533, -4870427489303662, 33431337274286025, -179521325539118820, 1085454482726384811, -4852350940416719706, 25342748241675561795, -86793952301014994502, 376645057358002013328, -783250517005845095898, 2654348974297586158321], [1, 9, 519, 4834, 131109, 1199043, 21510128, 185710296, 2575079025, 20463655155, 239208833097, 1726256985009, 17810359192402, 115659217995603, 1073808451772433, 6154710315383265, 51890729017337025, 250732133258001672, 1945771379128107632, 7267053825381305889, 53239127136773644869, 131516387271689773798, 946052820562364192031, 1099171196144712153747, 8182718904632857144561], [1, 27, 618, 8124, 100149, 813279, 7279203, 39562392, 350963031, 1337815422, 19387427043, 75277301148, 1437014878078, 5344688381508, 97732019723763, 478818855503442, 8918560586565111, 71379628842167592, 932467971018594963, 7396870227296074089, 64671570400731718389, 372473219836679927844, 2011740514524106582218, 6240301887285942262317, 16409682740640811134241], [1, 9, 465, 4326, 119211, 1062543, 20863848, 175433520, 2732182593, 21292797395, 279497945463, 1987615307607, 22777645072710, 145095917455311, 1489444551372327, 8283260164210715, 77589179732018913, 363686246771997360, 3157414294491300072, 11738335964676883671, 96138914014785290091, 254678484099966991638, 1998396010812154306785, 2823540170115237375393, 22902048046490258711521], [1, -12, 642, -7385, 201240, -2181066, 41096876, -412480146, 6108073644, -55908523161, 694878214194, -5723698602900, 61862643835774, -452172189629100, 4336734934784754, -27565082350776279, 237909963187765164, -1269224672709754254, 9990135016702052396, -41884992956805865494, 305302976905596335640, -885104036331636285815, 6078633245046435903042, -8975925726330251146548, 59091511031674153381441], [1, -9, 525, -5304, 147624, -1482558, 28630878, -270645261, 4178305029, -36391556034, 479023902087, -3806138597139, 44154054259609, -315909503562537, 3299995661477343, -20808218650012758, 198295341302196309, -1066082682914342823, 9360589943202287982, -40230769483079425866, 332492388477293788584, -991531113939034297512, 8145921623283073060725, -11590482766842772526403, 106890007738661124410161], [1, -24, 837, -14680, 302739, -4305936, 67195180, -818298864, 10619912265, -114331264488, 1295441020815, -12551862314280, 127447375065734, -1117115745970920, 10261188325875615, -80599997194840872, 666317094729485865, -4569429503625165936, 33394747302756767980, -190457297254714560144, 1191758958449442299859, -5143232006425882868120, 26099099581381695674037, -66604153770407768171736, 246990403565262140303521], [1, -18, 639, -8555, 176328, -2012139, 31794931, -341341614, 4517654391, -46721541944, 533955294414, -5279195410578, 54692202876544, -512081954826066, 5023985365141326, -42641489850656312, 399944695041722871, -2931216583291554798, 26484287421649214899, -162577379331505813707, 1381958990829300779208, -6503776706789805431435, 47121401708585915845311, -128754252555854474281554, 693842360995438000295041], [1, 3, 951, 2154, 424548, 676638, 118549227, 121906935, 23292437895, 14344332642, 3429168091014, 1337973699720, 391272312549448, 135135343671720, 34980943696433814, 14778980265385242, 2423820427621295895, 1281254138618874435, 125842393298672135427, 72544752037898303238, 4597246486609901502948, 2355798077362113380754, 105049564126605548901951, 33470050399959496653303, 1126825030131969720661201], [1, 6, 843, 3589, 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1591998363531146487, -9931609099174892403, 97260393762523726995, -434676626265154998270, 4589668788869188483140, -10881185330005970038890, 156956211625457372614863, -77412792159162233552127, 2812664781782894485727281], [1, 21, 1014, 16392, 463293, 6275943, 134358978, 1592971380, 28236001023, 297817916472, 4548261741735, 42853694865456, 576675155990107, 4842467519796528, 58076754180214215, 429720578223699384, 4603805451993450303, 29349465101300684340, 279728909725854073602, 1476481789678032937431, 12316385854641996469053, 49242255447438125531016, 344209133338113427256886, 805530841628543553136677, 4334523100191686738306881]], 'euler_factors_factorization': [[[[1, 1], 12]], [[[1, 3, 12, 31, 87, 204, 518, 1077, 2364, 4522, 9012, 16104, 29773, 48312, 81108, 122094, 191484, 261711, 377622, 446148, 570807, 610173, 708588, 531441, 531441], 1]], [[[1, -3, 18, -16, 111, 9, 843, 192, 4983, 5070, 25101, 26928, 149854, 134640, 627525, 633750, 3114375, 600000, 13171875, 703125, 43359375, -31250000, 175781250, -146484375, 244140625], 1]], [[[1, -1], 12]], [[[1, -3, 27, -52, 321, -633, 5068, -6162, 44493, 53181, 214521, 714819, 3254114, 7863009, 25957041, 70783911, 651422013, -992396262, 8978271148, -12335379243, 68809200801, -122613279932, 700310464227, -855935011833, 3138428376721], 1]], [[[1, -6, 69, -313, 2457, -9351, 60021, -202677, 1170618, -3604684, 19073742, -54394341, 267700448, -707126433, 3223462398, -7919490748, 33434020698, -75252551361, 289709902989, -586761382467, 2004250381497, -3319208303749, 9512235937581, -10752962364222, 23298085122481], 1]], [[[1, -3, 90, -308, 4338, -17202, 144055, -651777, 3701421, -18294732, 78371055, -396204378, 1427548736, -6735474426, 22649234895, -89882018316, 309146383341, -925430135889, 3477137502295, -7058645852946, 30260835779058, -36525065961076, 181439451040410, -102815688922899, 582622237229761], 1]], [1], [[[1, -12, 186, -1658, 15363, -108468, 775071, -4590942, 27874257, -145882818, 795714999, -3834645210, 19472336470, 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'3.43469943722147422929113288805204', '3.46252186845877877935096313613960', '3.54947493083401360401554006256982', '3.58356558362295942370741513634144', '3.61941129485597040489987455028453', '3.66912554253286522136094596962209', '3.68489862717691618366383440747222', '3.71672106357049880207420091487625', '3.86508484752945345987615902044854', '4.03170868989201495864573548548283', '4.04618762762208883561496232179057', '4.21393603350359542965469009275735', '4.26702832726055656051855732332057', '4.26735076957791443059431218125335', '4.34187770377747456554114351827621', '4.41050435687050695843585902582814', '4.53170407423311943102012689421339', '4.61208366499935586655944716578435', '4.66997064805901347408234201682980', '4.69856080264032486654061139091367', '4.95340597976309571238324319024274', '4.99099570070733347897526114701327', '5.06754002675408223325242550749562', '5.15368811962929190593903005503828', '5.30406362601323861383477416120372', '5.33943009115483933326370782468869', 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'8.317317464033306657203159479536462', '8.378019603391180417853928410780466', '8.406907654055964043643148693546282', '8.556824217909463704006292193526188', '8.690261200692748530111565049763107'], 'prelabel': '24-5054e12-1.1-c1e12-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.352668193881616, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e12-0', 'trace_hash': 2026035839309011773, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.13855234926885200313988789089', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.16062235867855174159972811855', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.44741286669071981773992003766', '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': 1.866156815161004e+19, 'bad_primes': [2, 7, 19], 'central_character': '1.1', 'conductor': 277730036355242457866969652754123469574639616, 'conductor_radical': 266, 'degree': 24, 'dirichlet_coefficients': [1, -12, -3, 78, 3, 36, 12, -364, -3, -36, 3, -234, 6, -144, -9, 1365, 3, 36, 0, 234, -36, -36, 12, 1092, -9, -72, 14, 936, -6, 108, -3, -4368, -9, -36, 36, -234, -27, 0, -18, -1092, 27, 432, 30, 234, -9, -144, 21, -4095, 78, 108, -9, 468, -6, -168, 9, -4368, 0, 72, 27, -702, 18, 36, -36, 12376, 18, 108, -9, 234, -36, -432, -27, 1092, -9, 324, 27, 0, 36, 216, 12, 4095, 0, -324, 9, -2808, 9, -360, 18, -1092, 24, 108, 72, 936, 9, -252, 0, 13104, 18, -936, -9, -702], 'euler11': [1, -3, 27, -52, 321, -633, 5068, -6162, 44493, 53181, 214521, 714819, 3254114, 7863009, 25957041, 70783911, 651422013, -992396262, 8978271148, -12335379243, 68809200801, -122613279932, 700310464227, -855935011833, 3138428376721], 'euler13': [1, -6, 69, -313, 2457, -9351, 60021, -202677, 1170618, -3604684, 19073742, -54394341, 267700448, -707126433, 3223462398, -7919490748, 33434020698, -75252551361, 289709902989, -586761382467, 2004250381497, -3319208303749, 9512235937581, -10752962364222, 23298085122481], 'euler17': [1, -3, 90, -308, 4338, -17202, 144055, -651777, 3701421, -18294732, 78371055, -396204378, 1427548736, -6735474426, 22649234895, -89882018316, 309146383341, -925430135889, 3477137502295, -7058645852946, 30260835779058, -36525065961076, 181439451040410, -102815688922899, 582622237229761], 'euler19': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler2': [1, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, -12, 186, -1658, 15363, -108468, 775071, -4590942, 27874257, -145882818, 795714999, -3834645210, 19472336470, -88196839830, 420933234471, -1774956246606, 7800359953137, -29548877405106, 114738324523119, -369314606585196, 1203091666872003, -2986311112705654, 7705331085738714, -11433717094967124, 21914624432020321], 'euler29': [1, 6, 189, 827, 16098, 51243, 857481, 1903662, 33458991, 48021516, 1076051490, 1010275254, 31747801084, 29297982366, 904959303090, 1171196753724, 23664908613471, 39046294927638, 510049696114401, 883935411702087, 8052966755846178, 11997409722043663, 79513667093737989, 73203058594234974, 353814783205469041], 'euler3': [1, 3, 12, 31, 87, 204, 518, 1077, 2364, 4522, 9012, 16104, 29773, 48312, 81108, 122094, 191484, 261711, 377622, 446148, 570807, 610173, 708588, 531441, 531441], 'euler31': [1, 3, 114, 414, 7218, 21942, 354666, 820053, 13897071, 26981978, 474529956, 711522048, 15229888956, 22057183488, 456023287716, 803820106598, 12834236906991, 23477421165003, 314767380525546, 603681778823562, 6156167508249138, 10946003574517794, 93437624715811314, 76225430689214493, 787662783788549761], 'euler37': [1, 27, 546, 7940, 98736, 1045236, 9962042, 85765971, 683241063, 5063504190, 35282691924, 232316730960, 1449910534256, 8595719045520, 48302005243956, 256481677736070, 1280503753873143, 5947351805087247, 25559874246967178, 99226215526988388, 346808171362343856, 1031896213972911380, 2625487067340145554, 4803775788045431151, 6582952005840035281], 'euler41': [1, -27, 579, -8410, 108501, -1143327, 11198032, -95307882, 774146637, -5653258767, 40493107917, -267800042523, 1774771527482, -10979801743443, 68068914408477, -389628247480407, 2187553375115757, -11042009133876282, 53191819294053712, -222667819693542087, 866372372284857621, -2753282068253212010, 7771719740578240179, -14858883856338707907, 22563490300366186081], 'euler43': [1, -30, 711, -11838, 170055, -2044968, 22205544, -214645548, 1924674393, -15819491278, 122349452193, -878661744858, 5969212235742, -37782455028894, 226224137104857, -1257760293039946, 6580078739462793, -31554707808361764, 140369305324543656, -555860361518259576, 1987636898207438055, -5949691340108347434, 15365763924745101039, -27878812184136681210, 39959630797262576401], 'euler47': [1, -21, 534, -7574, 113202, -1223862, 13566054, -118987971, 1076572191, -8057972790, 63875580996, -431805629208, 3183555006940, -20294864572776, 141101158420164, -836602908976170, 5253328865551071, -27289297041910797, 146231417230841766, -620036785456088106, 2695485272684668722, -8476294203280357258, 28087936613933246166, -51915343516764258363, 116191483108948578241], 'euler5': [1, -3, 18, -16, 111, 9, 843, 192, 4983, 5070, 25101, 26928, 149854, 134640, 627525, 633750, 3114375, 600000, 13171875, 703125, 43359375, -31250000, 175781250, -146484375, 244140625], 'euler53': [1, 6, 297, 1393, 45276, 176877, 4840021, 16633338, 406617735, 1274060544, 28114748154, 81312731598, 1626833500376, 4309574774694, 78974327564586, 189678311609088, 3208409512280535, 6955986985145634, 107275973315943709, 207779382280949049, 2818869743064780636, 4596570683380371269, 51941578698557375553, 55614215576233149582, 491258904256726154641], 'euler59': [1, -27, 825, -14740, 265530, -3604512, 48216978, -532394025, 5781875391, -54207191826, 502297883037, -4115256769011, 33483450014533, -242800149371649, 1748498930851797, -11133018850032054, 70061071369763151, -380621425114913475, 2033817862596356898, -8970374140847903328, 38987886097075355130, -127692558366973800860, 421671321473029155825, -814208988007921751793, 1779197418239532716881], 'euler61': [1, -18, 528, -7422, 132195, -1543986, 21068451, -212552820, 2414540025, -21457423702, 211045895973, -1667312271180, 14471550640326, -101706048541980, 785301778915533, -4870427489303662, 33431337274286025, -179521325539118820, 1085454482726384811, -4852350940416719706, 25342748241675561795, -86793952301014994502, 376645057358002013328, -783250517005845095898, 2654348974297586158321], 'euler67': [1, 9, 519, 4834, 131109, 1199043, 21510128, 185710296, 2575079025, 20463655155, 239208833097, 1726256985009, 17810359192402, 115659217995603, 1073808451772433, 6154710315383265, 51890729017337025, 250732133258001672, 1945771379128107632, 7267053825381305889, 53239127136773644869, 131516387271689773798, 946052820562364192031, 1099171196144712153747, 8182718904632857144561], 'euler7': [1, -12, 66, -220, 495, -792, 924, -792, 495, -220, 66, -12, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler71': [1, 27, 618, 8124, 100149, 813279, 7279203, 39562392, 350963031, 1337815422, 19387427043, 75277301148, 1437014878078, 5344688381508, 97732019723763, 478818855503442, 8918560586565111, 71379628842167592, 932467971018594963, 7396870227296074089, 64671570400731718389, 372473219836679927844, 2011740514524106582218, 6240301887285942262317, 16409682740640811134241], 'euler73': [1, 9, 465, 4326, 119211, 1062543, 20863848, 175433520, 2732182593, 21292797395, 279497945463, 1987615307607, 22777645072710, 145095917455311, 1489444551372327, 8283260164210715, 77589179732018913, 363686246771997360, 3157414294491300072, 11738335964676883671, 96138914014785290091, 254678484099966991638, 1998396010812154306785, 2823540170115237375393, 22902048046490258711521], 'euler79': [1, -12, 642, -7385, 201240, -2181066, 41096876, -412480146, 6108073644, -55908523161, 694878214194, -5723698602900, 61862643835774, -452172189629100, 4336734934784754, -27565082350776279, 237909963187765164, -1269224672709754254, 9990135016702052396, -41884992956805865494, 305302976905596335640, -885104036331636285815, 6078633245046435903042, -8975925726330251146548, 59091511031674153381441], 'euler83': [1, -9, 525, -5304, 147624, -1482558, 28630878, -270645261, 4178305029, -36391556034, 479023902087, -3806138597139, 44154054259609, -315909503562537, 3299995661477343, -20808218650012758, 198295341302196309, -1066082682914342823, 9360589943202287982, -40230769483079425866, 332492388477293788584, -991531113939034297512, 8145921623283073060725, -11590482766842772526403, 106890007738661124410161], 'euler89': [1, -24, 837, -14680, 302739, -4305936, 67195180, -818298864, 10619912265, -114331264488, 1295441020815, -12551862314280, 127447375065734, -1117115745970920, 10261188325875615, -80599997194840872, 666317094729485865, -4569429503625165936, 33394747302756767980, -190457297254714560144, 1191758958449442299859, -5143232006425882868120, 26099099581381695674037, -66604153770407768171736, 246990403565262140303521], 'euler97': [1, -18, 639, -8555, 176328, -2012139, 31794931, -341341614, 4517654391, -46721541944, 533955294414, -5279195410578, 54692202876544, -512081954826066, 5023985365141326, -42641489850656312, 399944695041722871, -2931216583291554798, 26484287421649214899, -162577379331505813707, 1381958990829300779208, -6503776706789805431435, 47121401708585915845311, -128754252555854474281554, 693842360995438000295041], 'euler_factors': [[1, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 3, 12, 31, 87, 204, 518, 1077, 2364, 4522, 9012, 16104, 29773, 48312, 81108, 122094, 191484, 261711, 377622, 446148, 570807, 610173, 708588, 531441, 531441], [1, -3, 18, -16, 111, 9, 843, 192, 4983, 5070, 25101, 26928, 149854, 134640, 627525, 633750, 3114375, 600000, 13171875, 703125, 43359375, -31250000, 175781250, -146484375, 244140625], [1, -12, 66, -220, 495, -792, 924, -792, 495, -220, 66, -12, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -3, 27, -52, 321, -633, 5068, -6162, 44493, 53181, 214521, 714819, 3254114, 7863009, 25957041, 70783911, 651422013, -992396262, 8978271148, -12335379243, 68809200801, -122613279932, 700310464227, -855935011833, 3138428376721], [1, -6, 69, -313, 2457, -9351, 60021, -202677, 1170618, -3604684, 19073742, -54394341, 267700448, -707126433, 3223462398, -7919490748, 33434020698, -75252551361, 289709902989, -586761382467, 2004250381497, -3319208303749, 9512235937581, -10752962364222, 23298085122481], [1, -3, 90, -308, 4338, -17202, 144055, -651777, 3701421, -18294732, 78371055, -396204378, 1427548736, -6735474426, 22649234895, -89882018316, 309146383341, -925430135889, 3477137502295, -7058645852946, 30260835779058, 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6156167508249138, 10946003574517794, 93437624715811314, 76225430689214493, 787662783788549761], [1, 27, 546, 7940, 98736, 1045236, 9962042, 85765971, 683241063, 5063504190, 35282691924, 232316730960, 1449910534256, 8595719045520, 48302005243956, 256481677736070, 1280503753873143, 5947351805087247, 25559874246967178, 99226215526988388, 346808171362343856, 1031896213972911380, 2625487067340145554, 4803775788045431151, 6582952005840035281], [1, -27, 579, -8410, 108501, -1143327, 11198032, -95307882, 774146637, -5653258767, 40493107917, -267800042523, 1774771527482, -10979801743443, 68068914408477, -389628247480407, 2187553375115757, -11042009133876282, 53191819294053712, -222667819693542087, 866372372284857621, -2753282068253212010, 7771719740578240179, -14858883856338707907, 22563490300366186081], [1, -30, 711, -11838, 170055, -2044968, 22205544, -214645548, 1924674393, -15819491278, 122349452193, -878661744858, 5969212235742, -37782455028894, 226224137104857, -1257760293039946, 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[{'__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}, {'__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}, {'__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': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '24-5054e12-1.1-c1e12-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.352668193881616, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e12-0', 'trace_hash': 2026035839309011773, 'z1': {'__RealLiteral__': 0, 'data': '0.13855234926885200313988789089', 'prec': 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• lfunc_instances •

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

  
  {'Lhash': '175635968713691522841073045447,203613029388940067158134965257,567163189010323762176647520964,759508316617913645432567112820,840218545839124255466263576160,902666875436891480270479051928,962036481207373668376317794946,974466887293415421600706588358,1091997985902351008182236773581,1347378446495961156851842688721,1526869436132063640664542834735,1655572092263558080913091575129', 'Lhash_array': ['175635968713691522841073045447', '203613029388940067158134965257', '567163189010323762176647520964', '759508316617913645432567112820', '840218545839124255466263576160', '902666875436891480270479051928', '962036481207373668376317794946', '974466887293415421600706588358', '1091997985902351008182236773581', '1347378446495961156851842688721', '1526869436132063640664542834735', '1655572092263558080913091575129'], 'label': '24-5054e12-1.1-c1e12-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/5054/2/a/bl'}