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lfunc_lfunctions • Show schema
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{'Lhash': '1372688928927142742891912527464', 'a10': [-2.0952939852239143, -3.7675013766564756e-61], 'a2': [-1.6951284422577568, 1.23158290373174], 'a3': [0.5911485485912102, 1.8193681560242132], 'a4': [0.7386299982370098, -2.2732693856378314], 'a5': [0.8090169943749475, 0.5877852522924731], 'a6': [-3.242775434869714, -2.3560142622039257], 'a7': [0.947812535578115, -2.9170670370770986], 'a8': [0.2526840933203581, 0.7776816741181216], 'a9': [-0.533592897528609, 0.38767793269614104], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.8309493222874655, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [-0.8090169943749475, -0.5877852522924731]]], [11, [[1.0, 0], [0, 0]]]], 'bad_primes': [5, 11], 'central_character': '605.366', 'coefficient_field': 'CDF', 'conductor': 605, 'conductor_radical': 55, 'conjugate': '1543242918488621176625825790071', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.6951284422577568, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.8309493222874655, 'bad_primes': [5, 11], 'central_character': '11.3', 'conductor': 605, 'conductor_radical': 55, 'degree': 2, 'index': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/605/2/g/e/366/1'], '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': '2-605-11.3-c1-0-15', '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': '2-605-11.3-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.1979420652709356, 'root_angle': -0.2854342601392136, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.08286063106032696167277620798', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1372688928927142742891912527464', 'Lhash_array': ['1372688928927142742891912527464'], 'label': '2-605-11.3-c1-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/605/2/g/e/366/1'}