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lfunc_lfunctions • Show schema
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{'Lhash': '644897855614344745712937901236', 'a10': [-15.400396796392084, 0.0], 'a2': [2.0, 0.0], 'a3': [-0.11392176580855347, 0.0], 'a4': [4.0, 0.0], 'a5': [-7.700198398196042, 0.0], 'a6': [-0.22784353161710694, 0.0], 'a7': [-7.0, 0.0], 'a8': [8.0, 0.0], 'a9': [-26.98702183127506, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 139.59851907358237, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-2.0, 0]]], [7, [[1.0, 0], [7.0, 0]]], [13, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 7, 13], 'central_character': '2366.1', 'coefficient_field': 'CDF', 'conductor': 2366, 'conductor_radical': 182, 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.0, 0]], [[1.0, 0], [0.11392176580855347, 0], [27.0, 0]], [[1.0, 0], [7.700198398196042, 0], [125.0, 0]], [[1.0, 0], [7.0, 0]], [[1.0, 0], [6.7648308537356145, 0], [1331.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [5.615190482049364, 0], [4913.0, 0]], [[1.0, 0], [68.80265730780971, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 139.59851907358237, 'bad_primes': [2, 7, 13], 'central_character': '1.1', 'conductor': 2366, 'conductor_radical': 182, 'degree': 2, 'index': 40, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2366/4/a/bg/1/6'], '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': '2-2366-1.1-c3-0-40', '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': '2-2366-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 11.815181719871362, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '0.50873470615502136646058164797', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '644897855614344745712937901236', 'Lhash_array': ['644897855614344745712937901236'], 'label': '2-2366-1.1-c3-0-40', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2366/4/a/bg/1/6'}