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lfunc_lfunctions • Show schema
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{'Lhash': '4938327221764286329686867854137', 'a10': [-2.963578527611606, 5.43980710041368], 'a2': [0.0, -2.770353731169782], 'a3': [0.0, 0.2698943214978553], 'a4': [-5.6748597958063325, 0.0], 'a5': [-1.9635785276116062, -1.069747337413203], 'a6': [0.7477027405831201, 0.0], 'a7': [0.0, -1.8696003533285503], 'a8': [0.0, 10.180661546837896], 'a9': [2.9271570552232125, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.1578308293085662, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [1.9635785276116062, 1.069747337413203]]], [29, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [5, 29], 'central_character': '145.59', 'coefficient_field': 'CDF', 'conductor': 145, 'conductor_radical': 145, 'conjugate': '988605744172197983769975551395', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 2.770353731169782], [-2.0, 0]], [[1.0, 0], [0, -0.2698943214978553], [-3.0, 0]], [[1.0, 0], [1.9635785276116062, 1.069747337413203]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.1578308293085662, 'bad_primes': [5, 29], 'central_character': '5.4', 'conductor': 145, 'conductor_radical': 145, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/145/2/b/c/59/1'], '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': '2-145-5.4-c1-0-12', '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': '2-145-5.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.0760254780015974, 'root_angle': -0.4206074504009936, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '3.89565328243853922571192153020', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '4938327221764286329686867854137', 'Lhash_array': ['4938327221764286329686867854137'], 'factors': ['2-145-5.4-c1-0-12'], 'label': '2-145-5.4-c1-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/145/2/b/c/59/1'}