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lfunc_lfunctions • Show schema
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{'Lhash': '2309467502423892303491314858514', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.7217055540465755, 1.5745288480235367], 'a4': [0.0, 0.0], 'a5': [0.9766793070672825, -0.17221491333560965], 'a6': [0.0, 0.0], 'a7': [3.1280321047828954, -3.727843498625044], 'a8': [0.0, 0.0], 'a9': [-1.9582821865166509, 2.2726924292502857], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.4495373673193144, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-0.7217055540465755, -1.5745288480235367]]]], 'bad_primes': [2, 3], 'central_character': '432.47', 'coefficient_field': 'CDF', 'conductor': 432, 'conductor_radical': 6, 'conjugate': '1850731455679664212320867621471', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.7217055540465755, -1.5745288480235367]], [[1.0, 0], [-0.9766793070672825, 0.17221491333560965], [4.698463103929542, -1.7101007166283437]], [[1.0, 0], [-3.1280321047828954, 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'data': '4.30281703217460852491609861260', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.4495373673193144, 'bad_primes': [2, 3], 'central_character': '108.47', 'conductor': 432, 'conductor_radical': 6, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/432/2/be/b/47/4'], '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': '2-432-108.47-c1-0-12', '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': '2-432-108.47-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.857293021394124, 'root_angle': -0.029282099720578166, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.82184862454062095840511335339', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2309467502423892303491314858514', 'Lhash_array': ['2309467502423892303491314858514'], 'label': '2-432-108.47-c1-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/432/2/be/b/47/4'}