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  • lfunc_lfunctions • Show schema
    {'Lhash': '2823843110720132854215450078043', 'a10': [-0.13597448418610303, -0.19943793859988337], 'a2': [0.8115104446443783, 0.3184943796752451], 'a3': [0.0, 0.0], 'a4': [-0.9089932117774554, -0.8434224442078517], 'a5': [-0.22877283065371104, -0.1559746749405644], 'a6': [0.0, 0.0], 'a7': [-2.580376225154841, 0.5845156427809717], 'a8': [-1.2255282898313935, -2.5448357159395925], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.5214027291384666, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [2.580376225154841, -0.5845156427809717]]]], 'bad_primes': [3, 7], 'central_character': '441.395', 'coefficient_field': 'CDF', 'conductor': 441, 'conductor_radical': 21, 'conjugate': '703153573869295329099438281733', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.8115104446443783, -0.3184943796752451], [1.4661037436596527, 1.3603454755418387]], [[1.0, 0], [0, 0]], [[1.0, 0], 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  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 3.5214027291384666, 'bad_primes': [3, 7], 'central_character': '147.101', 'conductor': 441, 'conductor_radical': 21, 'degree': 2, 'index': 16, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/441/2/bg/a/395/12'], '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': '2-21e2-147.101-c1-0-16', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-21e2-147.101-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.8765400952653442, 'root_angle': 0.28691769786238236, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.22761943252480186919636129806', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2823843110720132854215450078043', 'Lhash_array': ['2823843110720132854215450078043'], 'factors': ['2-21e2-147.101-c1-0-16'], 'label': '2-21e2-147.101-c1-0-16', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/441/2/bg/a/395/12'}