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lfunc_lfunctions • Show schema
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{'Lhash': '3610375091615988270286843887026', 'a10': [-2.220377072672201, 0.2644345952246531], 'a2': [0.0, -1.0], 'a3': [0.0, -1.7816534525312007], 'a4': [-1.0, 0.0], 'a5': [-0.2644345952246531, -2.220377072672201], 'a6': [-1.7816534525312007, 0.0], 'a7': [0.0, -1.7031582153656537], 'a8': [0.0, 1.0], 'a9': [-0.17428902491634746, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.4753624626596933, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 1.0]]], [5, [[1.0, 0], [0.2644345952246531, 2.220377072672201]]], [31, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 31], 'central_character': '310.249', 'coefficient_field': 'CDF', 'conductor': 310, 'conductor_radical': 310, 'conjugate': '1106926919960418132464710719896', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 1.0]], [[1.0, 0], [0, 1.7816534525312007], [-3.0, 0]], [[1.0, 0], [0.2644345952246531, 2.220377072672201]], [[1.0, 0], [0, 1.7031582153656537], [-7.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.4753624626596933, 'bad_primes': [2, 5, 31], 'central_character': '5.4', 'conductor': 310, 'conductor_radical': 310, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/310/2/b/b/249/1'], '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': '2-310-5.4-c1-0-14', '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': '2-310-5.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5733284662331937, 'root_angle': 0.4811343874782933, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.84808376295958193657944876939', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3610375091615988270286843887026', 'Lhash_array': ['3610375091615988270286843887026'], 'label': '2-310-5.4-c1-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/310/2/b/b/249/1'}