Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 83374.69041576255, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 6879707136, 'conductor_radical': 6, 'degree': 8, 'dirichlet_coefficients': [1, 0, 10, 0, 0, 0, 0, 0, 27, 0, 54, 0, 0, 0, 0, 0, 0, 0, -212, 0, 0, 0, 0, 0, 250, 0, -190, 0, 0, 0, 0, 0, 540, 0, 0, 0, 0, 0, 0, 0, -1566, 0, -290, 0, 0, 0, 0, 0, -686, 0, 0, 0, 0, 0, 0, 0, -2120, 0, 2538, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 860, 0, 2500, 0, 0, 0, 0, 0, -1900, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1910, 0, 1458, 0], 'euler11': [1, -54, 2627, -89370, 2261196, -118951470, 4653890747, -127329175314, 3138428376721], 'euler13': [1, 0, 4394, 0, 14480427, 0, 21208998746, 0, 23298085122481], 'euler17': [1, 0, -1726, 0, -21158493, 0, -41661444094, 0, 582622237229761], 'euler19': [1, 212, 19990, 2382032, 267385339, 16338357488, 940447161190, 68409791929148, 2213314919066161], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -24334, 0, 444107667, 0, -3602305322926, 0, 21914624432020321], 'euler29': [1, 0, -48778, 0, 1784469963, 0, -29014291951738, 0, 353814783205469041], 'euler3': [1, -10, 73, -270, 729, 0, 0, 0, 0], 'euler31': [1, 0, 59582, 0, 2662511043, 0, 52879244321342, 0, 787662783788549761], 'euler37': [1, 0, -202612, 0, 15394358454, 0, -519846959180308, 0, 6582952005840035281], 'euler41': [1, 1566, 1158857, 534640230, 168146879076, 36847939291830, 5504691550412537, 512680109260942926, 22563490300366186081], 'euler43': [1, 290, 79507, -44782090, -12986806100, -3560489629630, 502592611936843, 145751857461684470, 39959630797262576401], 'euler47': [1, 0, -207646, 0, 32337645987, 0, -2238260946205534, 0, 116191483108948578241], 'euler5': [1, 0, -250, 0, 46875, 0, -3906250, 0, 244140625], 'euler53': [1, 0, 595508, 0, 132986166774, 0, 13199054367208532, 0, 491258904256726154641], 'euler59': [1, -2538, 3068243, -2337739110, 1247214574476, -480122520672690, 129420127080262763, -21986683387746235182, 1779197418239532716881], 'euler61': [1, 0, 453962, 0, 154561123083, 0, 23388292185668282, 0, 2654348974297586158321], 'euler67': [1, -70, 300763, 62817230, -4397206100, 18893098546490, 27206534396294947, -1904457407740646290, 8182718904632857144561], 'euler7': [1, 0, 686, 0, 352947, 0, 80707214, 0, 13841287201], 'euler71': [1, 0, 1431644, 0, 768601703526, 0, 183394002873796124, 0, 16409682740640811134241], 'euler73': [1, -860, -223334, -159014000, 488190688867, -61859149238000, -33798078094027526, -50629564569110405180, 22902048046490258711521], 'euler79': [1, 0, 986078, 0, 729262366563, 0, 239703191965236638, 0, 59091511031674153381441], 'euler83': [1, 0, 678926, 0, 134000140107, 0, 221968319929921694, 0, 106890007738661124410161], 'euler89': [1, 0, 714524, 0, 1121598718566, 0, 355105059942617564, 0, 246990403565262140303521], 'euler97': [1, -1910, 912673, -1738254710, 3320066496100, -1586458140939830, 760231058654565217, -1452041322030219564470, 693842360995438000295041], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -10, 73, -270, 729, 0, 0, 0, 0], [1, 0, -250, 0, 46875, 0, -3906250, 0, 244140625], [1, 0, 686, 0, 352947, 0, 80707214, 0, 13841287201], [1, -54, 2627, -89370, 2261196, -118951470, 4653890747, -127329175314, 3138428376721], [1, 0, 4394, 0, 14480427, 0, 21208998746, 0, 23298085122481], [1, 0, -1726, 0, -21158493, 0, -41661444094, 0, 582622237229761], [1, 212, 19990, 2382032, 267385339, 16338357488, 940447161190, 68409791929148, 2213314919066161], [1, 0, -24334, 0, 444107667, 0, -3602305322926, 0, 21914624432020321], [1, 0, -48778, 0, 1784469963, 0, -29014291951738, 0, 353814783205469041], [1, 0, 59582, 0, 2662511043, 0, 52879244321342, 0, 787662783788549761], [1, 0, -202612, 0, 15394358454, 0, -519846959180308, 0, 6582952005840035281], [1, 1566, 1158857, 534640230, 168146879076, 36847939291830, 5504691550412537, 512680109260942926, 22563490300366186081], [1, 290, 79507, -44782090, -12986806100, -3560489629630, 502592611936843, 145751857461684470, 39959630797262576401], [1, 0, -207646, 0, 32337645987, 0, -2238260946205534, 0, 116191483108948578241], [1, 0, 595508, 0, 132986166774, 0, 13199054367208532, 0, 491258904256726154641], [1, -2538, 3068243, -2337739110, 1247214574476, -480122520672690, 129420127080262763, -21986683387746235182, 1779197418239532716881], [1, 0, 453962, 0, 154561123083, 0, 23388292185668282, 0, 2654348974297586158321], [1, -70, 300763, 62817230, -4397206100, 18893098546490, 27206534396294947, -1904457407740646290, 8182718904632857144561], [1, 0, 1431644, 0, 768601703526, 0, 183394002873796124, 0, 16409682740640811134241], [1, -860, -223334, -159014000, 488190688867, -61859149238000, -33798078094027526, -50629564569110405180, 22902048046490258711521], [1, 0, 986078, 0, 729262366563, 0, 239703191965236638, 0, 59091511031674153381441], [1, 0, 678926, 0, 134000140107, 0, 221968319929921694, 0, 106890007738661124410161], [1, 0, 714524, 0, 1121598718566, 0, 355105059942617564, 0, 246990403565262140303521], [1, -1910, 912673, -1738254710, 3320066496100, -1586458140939830, 760231058654565217, -1452041322030219564470, 693842360995438000295041]], 'id': 24082155, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/288/4/p/a'], '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': '8-288e4-1.1-c3e4-0-1', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0, 0, 0, 0], 'nu_real_doubled': [3, 3, 3, 3], 'order_of_vanishing': 0, 'prelabel': '8-288e4-1.1-c3e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.1222020913164, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e4-0', 'trace_hash': 1689290375450993471, 'z1': {'__RealLiteral__': 0, 'data': '0.23509117610912112358516562633', 'prec': 97}}