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lfunc_lfunctions • Show schema
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{'Lhash': '2758700494625632755903739111444', 'a10': [-38.362613266605074, 0.0], 'a2': [4.753930148149441, 0.0], 'a3': [9.0, 0.0], 'a4': [-9.400148146515834, 0.0], 'a5': [-8.06966279921855, 0.0], 'a6': [42.78537133334497, 0.0], 'a7': [-28.85810057322013, 0.0], 'a8': [-196.81341241157483, 0.0], 'a9': [81.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 28.387936106897577, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-9.0, 0]]], [59, [[1.0, 0], [-3481.0, 0]]]], 'bad_primes': [3, 59], 'central_character': '177.1', 'coefficient_field': 'CDF', 'conductor': 177, 'conductor_radical': 177, 'degree': 2, 'euler_factors': [[[1.0, 0], [-4.753930148149441, 0], [32.0, 0]], [[1.0, 0], [-9.0, 0]], [[1.0, 0], [8.06966279921855, 0], [3125.0, 0]], [[1.0, 0], [28.85810057322013, 0], [16807.0, 0]], [[1.0, 0], [-556.7583508886464, 0], [161051.0, 0]], [[1.0, 0], [1129.4125780649235, 0], [371293.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 28.387936106897577, 'bad_primes': [3, 59], 'central_character': '1.1', 'conductor': 177, 'conductor_radical': 177, 'degree': 2, 'index': 41, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/177/6/a/a/1/8'], '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': '2-177-1.1-c5-0-41', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 1, 'prelabel': '2-177-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.32803304296225, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '2.17623096942402966892730741968', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2758700494625632755903739111444', 'Lhash_array': ['2758700494625632755903739111444'], 'label': '2-177-1.1-c5-0-41', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/177/6/a/a/1/8'}