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lfunc_lfunctions • Show schema
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{'Lhash': '1132072305810743895376886461113', 'a10': [27.589869303862447, 0.0], 'a2': [-5.517973860772489, 0.0], 'a3': [3.8603908856555194, 0.0], 'a4': [22.44803552816845, 0.0], 'a5': [-5.0, 0.0], 'a6': [-21.301535999411513, 0.0], 'a7': [0.0, 0.0], 'a8': [-79.72388238394575, 0.0], 'a9': [-12.097382209947794, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 14.455467951406456, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [5.0, 0]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [5, 7], 'central_character': '245.1', 'coefficient_field': 'CDF', 'conductor': 245, 'conductor_radical': 35, 'conjugate': '1132072305810743895376886461113', 'degree': 2, 'euler_factors': [[[1.0, 0], [5.517973860772489, 0], [8.0, 0]], [[1.0, 0], [-3.8603908856555194, 0], [27.0, 0]], [[1.0, 0], [5.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-34.52107231727895, 0], [1331.0, 0]], [[1.0, 0], [-68.89348469148696, 0], [2197.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 14.455467951406456, 'bad_primes': [5, 7], 'central_character': '1.1', 'conductor': 245, 'conductor_radical': 35, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/245/4/a/p/1/1'], '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': '2-245-1.1-c3-0-7', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-245-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.802034712020191, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '0.893047583937501532194086972774', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1132072305810743895376886461113', 'Lhash_array': ['1132072305810743895376886461113'], 'label': '2-245-1.1-c3-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/245/4/a/p/1/1'}