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lfunc_lfunctions • Show schema
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{'Lhash': '1151121864432879267226023684049', 'a10': [-4.867604533808898, -2.784986807353037], 'a2': [-2.5079762923395985, 0.0], 'a3': [1.4795397525185376, 0.9005343528802133], 'a4': [4.2899450829374794, 0.0], 'a5': [1.9408495003228634, 1.1104518076424978], 'a6': [-3.7106506228904887, -2.2585188074609572], 'a7': [0.0, 0.0], 'a8': [-5.743127978766833, 0.0], 'a9': [1.3780757585652308, 2.6647527471896644], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.869004548564111, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-1.4795397525185376, -0.9005343528802133]]], [5, [[1.0, 0], [-1.9408495003228634, -1.1104518076424978]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 5, 7], 'central_character': '735.734', 'coefficient_field': 'CDF', 'conductor': 735, 'conductor_radical': 105, 'conjugate': '1990547720509243055412307462411', 'degree': 2, 'euler_factors': [[[1.0, 0], [2.5079762923395985, 0], [2.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.869004548564111, 'bad_primes': [3, 5, 7], 'central_character': '105.104', 'conductor': 735, 'conductor_radical': 105, 'degree': 2, 'index': 27, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/735/2/g/b/734/4'], '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': '2-735-105.104-c1-0-27', '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': '2-735-105.104-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.422602845817719, 'root_angle': -0.21667653623897595, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.908075035996219972006883584856', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1151121864432879267226023684049', 'Lhash_array': ['1151121864432879267226023684049'], 'factors': ['2-735-105.104-c1-0-27'], 'label': '2-735-105.104-c1-0-27', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/735/2/g/b/734/4'}