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lfunc_lfunctions • Show schema
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{'Lhash': '2149829307590254011300713725152', 'a10': [-0.34739363888890634, 0.6017034327818213], 'a2': [0.17364817766693036, 0.984807753012208], 'a3': [1.586416279011431, -0.6951858670079002], 'a4': [-0.9396926207859084, 0.3420201433256687], 'a5': [0.5322379332914553, 0.4466006535234179], 'a6': [0.9601027274853814, 1.4415972921295086], 'a7': [0.9396926207859084, 0.3420201433256687], 'a8': [-0.5, -0.8660254037844386], 'a9': [2.033433220624948, -2.2057083527200168], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.0183451964044, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.17364817766693036, -0.984807753012208]]], [3, [[1.0, 0], [-1.586416279011431, 0.6951858670079002]]], [7, [[1.0, 0], [-0.9396926207859084, -0.3420201433256687]]]], 'bad_primes': [2, 3, 7], 'central_character': '378.337', 'coefficient_field': 'CDF', 'conductor': 378, 'conductor_radical': 42, 'conjugate': '2185465686495245967492497668413', 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.0183451964044, 'bad_primes': [2, 3, 7], 'central_character': '27.13', 'conductor': 378, 'conductor_radical': 42, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/378/2/u/d/337/5'], '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': '2-378-27.13-c1-0-13', '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': '2-378-27.13-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.737338538225754, 'root_angle': -0.09534469605255981, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.69591629365630880513212963223', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2149829307590254011300713725152', 'Lhash_array': ['2149829307590254011300713725152'], 'label': '2-378-27.13-c1-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/378/2/u/d/337/5'}