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lfunc_lfunctions • Show schema
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{'Lhash': '385168319306003967851621128499', 'a10': [0.34921876323507867, -1.1146522456099965], 'a2': [0.757683700665162, -1.1941170000240116], 'a3': [-0.8178854538513894, 3.0523900685449155], 'a4': [-0.8518308194926906, -1.8095259752107486], 'a5': [0.7978112802337511, -0.21377288825107374], 'a6': [3.0252123941596154, 3.2893971275249974], 'a7': [0.0, 0.0], 'a8': [-2.8062040566380424, -0.3538626746468093], 'a9': [-6.050072303576625, -3.4930108730866642], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.260271518468385, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.757683700665162, 1.1941170000240116]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 7], 'central_character': '784.19', 'coefficient_field': 'CDF', 'conductor': 784, 'conductor_radical': 14, 'conjugate': '2694105059106992921973638241128', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.757683700665162, 1.1941170000240116]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.260271518468385, 'bad_primes': [2, 7], 'central_character': '112.19', 'conductor': 784, 'conductor_radical': 14, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/784/2/w/e/19/5'], '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': '2-28e2-112.19-c1-0-8', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-28e2-112.19-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.502053460353792, 'root_angle': -0.3793010300207633, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.30384422903019000765024183292', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '385168319306003967851621128499', 'Lhash_array': ['385168319306003967851621128499'], 'label': '2-28e2-112.19-c1-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/784/2/w/e/19/5'}