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lfunc_lfunctions • Show schema
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{'Lhash': '1983693721494245595965728267856', 'a10': [0.0, 0.0], 'a2': [0.19809152108257524, 0.7392876212287722], 'a3': [0.9659258262890683, 0.25881904510252074], 'a4': [0.3587194676071504, -0.20710678118654752], 'a5': [0.0, 0.0], 'a6': [-2.179216461090938e-78, 0.7653668647301796], 'a7': [0.0, 0.0], 'a8': [0.7653668647301796, 0.7653668647301796], 'a9': [0.8660254037844386, 0.5], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.834063921426284, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.9659258262890683, -0.25881904510252074]]], [5, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 5, 7], 'central_character': '3675.1832', 'coefficient_field': 'CDF', 'conductor': 3675, 'conductor_radical': 105, 'conjugate': '1888272407523139225115617274217', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.19809152108257524, -0.7392876212287722], [-0.8660254037844386, 0.5]], [[1.0, 0], [-0.9659258262890683, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.834063921426284, 'bad_primes': [3, 5, 7], 'central_character': '105.47', 'conductor': 3675, 'conductor_radical': 105, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3675/1/bf/d/1832/3'], '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': '2-3675-105.47-c0-0-9', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-3675-105.47-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3542761614332153, 'root_angle': -0.150413077302712, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.56485842481918826389714263655', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1983693721494245595965728267856', 'Lhash_array': ['1983693721494245595965728267856'], 'factors': ['2-3675-105.47-c0-0-9'], 'label': '2-3675-105.47-c0-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3675/1/bf/d/1832/3'}