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lfunc_lfunctions • Show schema
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{'Lhash': '1511544484873246815733634598440', 'a10': [-2.6389584337646843, -2.8220739917900373], 'a2': [-1.0329507723545108, 0.9659258262890683], 'a3': [0, 0], 'a4': [0.13397459621556135, -1.9955076566049246], 'a5': [0, 2.732050807568877], 'a6': [0, 0], 'a7': [0, 0], 'a8': [1.7891232194355262, 2.190670697680657], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 14.085610916553867, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.0329507723545108, -0.9659258262890683]]], [3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 7], 'central_character': '1764.1079', 'coefficient_field': 'CDF', 'conductor': 1764, 'conductor_radical': 42, 'conjugate': '1019992144357449166799134224048', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.0329507723545108, -0.9659258262890683]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -2.732050807568877], [-5.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-5.6441479835800745, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 14.085610916553867, 'bad_primes': [2, 3, 7], 'central_character': '12.11', 'conductor': 1764, 'conductor_radical': 42, 'degree': 2, 'index': 52, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1764/2/e/j/1079/8'], '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': '2-42e2-12.11-c1-0-52', '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': '2-42e2-12.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.7530801905306883, 'root_angle': -0.08728728879582369, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.19239835061893746890998074534', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1511544484873246815733634598440', 'Lhash_array': ['1511544484873246815733634598440'], 'label': '2-42e2-12.11-c1-0-52', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1764/2/e/j/1079/8'}