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lfunc_lfunctions • Show schema
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{'Lhash': '2916125096722297391483806358167', 'a10': [0.4263327829985303, 0.7384300410856912], 'a2': [0.3420201433256687, 0.9396926207859084], 'a3': [0.32635182233306964, 0.11878234922776941], 'a4': [-0.766044443118978, 0.6427876096865394], 'a5': [0.8397116601204477, -0.14806382169473128], 'a6': [-1.0432796959567368e-61, 0.3472963553338607], 'a7': [0.24046008714677897, 1.3637169205792177], 'a8': [-0.8660254037844386, -0.5], 'a9': [-2.2057370639048863, -1.8508331567966467], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.5908929749574752, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.3420201433256687, -0.9396926207859084]]], [37, [[1.0, 0], [-1.155997027267826, -5.971906803772807]]]], 'bad_primes': [2, 37], 'central_character': '74.67', 'coefficient_field': 'CDF', 'conductor': 74, 'conductor_radical': 74, 'conjugate': '3994902826912717044959871103087', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.5908929749574752, 'bad_primes': [2, 37], 'central_character': '37.30', 'conductor': 74, 'conductor_radical': 74, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/74/2/h/a/67/2'], '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': '2-74-37.30-c1-0-0', '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': '2-74-37.30-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.7686956321961738, 'root_angle': -0.14022489836643862, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.30041708353806212635810130905', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2916125096722297391483806358167', 'Lhash_array': ['2916125096722297391483806358167'], 'label': '2-74-37.30-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/74/2/h/a/67/2'}