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lfunc_lfunctions • Show schema
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{'Lhash': '2122650035583941149496895793594', 'a10': [-1.1736481776669303, -2.032818273929748], 'a2': [-0.17364817766693036, 0.984807753012208], 'a3': [0.266044443118978, 1.508813013470978], 'a4': [-0.9396926207859084, -0.3420201433256687], 'a5': [-1.7981333293569342, 1.508813013470978], 'a6': [-1.532088886237956, -5.299871258976743e-61], 'a7': [1.9396926207859084, -1.6275953626987474], 'a8': [0.5, -0.8660254037844386], 'a9': [0.6133407984528387, -0.22323779409789932], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.5908929749574752, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.17364817766693036, -0.984807753012208]]], [37, [[1.0, 0], [-2.3374961755702346, 5.615702238295272]]]], 'bad_primes': [2, 37], 'central_character': '74.33', 'coefficient_field': 'CDF', 'conductor': 74, 'conductor_radical': 74, 'conjugate': '4771082547393728295021816923958', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.17364817766693036, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.5908929749574752, 'bad_primes': [2, 37], 'central_character': '37.33', 'conductor': 74, 'conductor_radical': 74, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/74/2/f/a/33/1'], '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': '2-74-37.33-c1-0-0', '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': '2-74-37.33-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.7686956321961738, 'root_angle': -0.2648742410389143, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.67447562853816073528053822664', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2122650035583941149496895793594', 'Lhash_array': ['2122650035583941149496895793594'], 'label': '2-74-37.33-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/74/2/f/a/33/1'}