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lfunc_lfunctions • Show schema
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{'Lhash': '1169507720084775145109746530432', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, 0.0], 'a4': [0.0, 0.0], 'a5': [62.993245129824274, 0.0], 'a6': [0.0, 0.0], 'a7': [85.2224230783339, 0.0], 'a8': [0.0, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 150.1192553449499, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [13, [[1.0, 0], [-169.0, 0]]]], 'bad_primes': [2, 3, 13], 'central_character': '936.1', 'coefficient_field': 'CDF', 'conductor': 936, 'conductor_radical': 78, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-62.993245129824274, 0], [3125.0, 0]], [[1.0, 0], [-85.2224230783339, 0], [16807.0, 0]], [[1.0, 0], [-69.59935273946407, 0], [161051.0, 0]], [[1.0, 0], [-169.0, 0]], [[1.0, 0], [-1372.8458725245343, 0], [1419857.0, 0]], [[1.0, 0], [-1240.8777735917904, 0], [2476099.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 150.1192553449499, 'bad_primes': [2, 3, 13], 'central_character': '1.1', 'conductor': 936, 'conductor_radical': 78, 'degree': 2, 'index': 38, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/936/6/a/h/1/3'], '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': '2-936-1.1-c5-0-38', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-936-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 12.252316325697354, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.922578918729037410351671615835', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1169507720084775145109746530432', 'Lhash_array': ['1169507720084775145109746530432'], 'factors': ['2-936-1.1-c5-0-38'], 'label': '2-936-1.1-c5-0-38', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/936/6/a/h/1/3'}