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  • lfunc_lfunctions • Show schema
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{'__RealLiteral__': 0, 'data': '0.968710453945814009096261376504', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '0.979084626187478912535862947091', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 785502.1819281327, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 6879707136, 'conductor_radical': 6, 'degree': 8, 'dirichlet_coefficients': [1, 0, -14, 0, 0, 0, 0, 0, 81, 0, 46, 0, 0, 0, 0, 0, 1148, 0, 868, 0, 0, 0, 0, 0, -1250, 0, -658, 0, 0, 0, 0, 0, -644, 0, 0, 0, 0, 0, 0, 0, -1246, 0, 3502, 0, 0, 0, 0, 0, -4802, 0, -16072, 0, 0, 0, 0, 0, -12152, 0, 238, 0, 0, 0, 0, 0, 0, 0, 5134, 0, 0, 0, 0, 0, -19012, 0, 17500, 0, 0, 0, 0, 0, 9212, 0, 22372, 0, 0, 0, 0, 0, 21896, 0, 0, 0, 0, 0, 0, 0, -9982, 0, 3726, 0], 'euler11': [1, -46, 14641, 1923122, -88463612, 28156429202, 3138428376721, -144367705329166, 45949729863572161], 'euler13': [1, 0, 57122, 0, 2447192163, 0, 46596170244962, 0, 665416609183179841], 'euler17': [1, -1148, 821386, -378238448, 129481706899, -31590853415408, 5729789501433226, -668850328339765628, 48661191875666868481], 'euler19': [1, -868, 304426, -163493008, 86428671859, -21306572295568, 5170238162319466, 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-2391343253129326675304121892, 5072820298953863752478356399681], [1, -21896, 430757020, -4777518872504, 47078025718944454, -299752240480694241464, 1695713262909587419358620, -5408101876464979824085895816, 15496731425178936435099327730561], [1, 9982, 88529281, -1656488134658, -16535064560156156, -146647703546303920898, 693842360995438000295041, 6925934447456462118945099262, 61425365346268570446197767595521]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/288/5/t/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-c4e4-0-0', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0, 0, 0, 0], 'nu_real_doubled': [4, 4, 4, 4], 'order_of_vanishing': 0, 'prelabel': '8-288e4-1.1-c4e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.456239489625357, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c4e4-0', 'trace_hash': 86088509938786794, 'z1': {'__RealLiteral__': 0, 'data': '0.11351613859563176430207225461', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '143898801226343483768478323486,1227986388391771703246933996992,1241137214060789254212825884468,1502458467526430686291576023169', 'Lhash_array': ['143898801226343483768478323486', '1227986388391771703246933996992', '1241137214060789254212825884468', '1502458467526430686291576023169'], 'factors': ['2-288-72.67-c4-0-3', '2-288-72.67-c4-0-22', '2-288-72.43-c4-0-23', '2-288-72.43-c4-0-28'], 'label': '8-288e4-1.1-c4e4-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/288/5/t/a'}