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lfunc_lfunctions • Show schema
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{'Lhash': '919669495474552653132527234447', 'a10': [-0.5, 0.8660254037844386], 'a2': [1.0, 0], 'a3': [0.5, 0.8660254037844386], 'a4': [1.0, 0], 'a5': [-0.5, 0.8660254037844386], 'a6': [0.5, 0.8660254037844386], 'a7': [2.23606797749979, 0], 'a8': [1.0, 0], 'a9': [-0.5, 0.8660254037844386], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.683983790447321, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [3, [[1.0, 0], [-0.5, -0.8660254037844386]]], [223, [[1.0, 0], [11.5, -9.526279441628825]]]], 'bad_primes': [2, 3, 223], 'central_character': '1338.1075', 'coefficient_field': 'CDF', 'conductor': 1338, 'conductor_radical': 1338, 'conjugate': '2564746107901260547290016801603', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [-0.5, -0.8660254037844386]], [[1.0, 0], [0.5, -0.8660254037844386], [-2.5, -4.330127018922194]], [[1.0, 0], [-2.23606797749979, 0], [7.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.683983790447321, 'bad_primes': [2, 3, 223], 'central_character': '223.183', 'conductor': 1338, 'conductor_radical': 1338, 'degree': 2, 'index': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1338/2/e/f/1075/2'], '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': '2-1338-223.183-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': '2-1338-223.183-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.2686363808853565, 'root_angle': -0.2956248212070025, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.72549131070420682599720093445', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '919669495474552653132527234447', 'Lhash_array': ['919669495474552653132527234447'], 'label': '2-1338-223.183-c1-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1338/2/e/f/1075/2'}