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lfunc_lfunctions • Show schema
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{'Lhash': '950318286095597902384248123490', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [-1.8305138784937447, -1.284219194935891], 'a6': [0, 0], 'a7': [2.949841032787432, 2.949841032787432], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 11.498457891064382, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.8305138784937447, 1.284219194935891]]]], 'bad_primes': [2, 3, 5], 'central_character': '1440.1423', 'coefficient_field': 'CDF', 'conductor': 1440, 'conductor_radical': 30, 'conjugate': '1573024438343151244707773267920', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.8305138784937447, 1.284219194935891]], [[1.0, 0], [-2.949841032787432, -2.949841032787432], [0, 7.0]], [[1.0, 0], [-1.611482473552583, 0], [11.0, 0]], [[1.0, 0], [-2.509668878813214, 2.509668878813214], [0, -13.0]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 11.498457891064382, 'bad_primes': [2, 3, 5], 'central_character': '40.3', 'conductor': 1440, 'conductor_radical': 30, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1440/2/bi/d/1423/2'], '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': '2-1440-40.3-c1-0-9', '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': '2-1440-40.3-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.390937612381623, 'root_angle': -0.12353534076255686, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.74966894341745383791670731190', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '950318286095597902384248123490', 'Lhash_array': ['950318286095597902384248123490'], 'label': '2-1440-40.3-c1-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1440/2/bi/d/1423/2'}