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lfunc_lfunctions • Show schema
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{'Lhash': '508713346092799198470606414276', 'a10': [1.0836891518484622, -4.33884982710464], 'a2': [1.9403926315138367, 0.48464052200245067], 'a3': [-4.988179627915544, 0.0], 'a4': [3.5302471288663844, 1.8807857956531495], 'a5': [0.0, -2.23606797749979], 'a6': [-9.679026994674754, -2.4174739787149795], 'a7': [0.0, 2.6457513110645907], 'a8': [5.938560506495073, 5.360363710672717], 'a9': [15.881936000351656, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.629447402088314, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.9403926315138367, -0.48464052200245067]]], [5, [[1.0, 0], [0, 2.23606797749979]]], [7, [[1.0, 0], [0, -2.6457513110645907]]]], 'bad_primes': [2, 5, 7], 'central_character': '280.211', 'coefficient_field': 'CDF', 'conductor': 280, 'conductor_radical': 70, 'conjugate': '2561092251023707809382392239996', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.9403926315138367, -0.48464052200245067]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.629447402088314, 'bad_primes': [2, 5, 7], 'central_character': '8.3', 'conductor': 280, 'conductor_radical': 70, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/280/3/o/a/211/44'], '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': '2-280-8.3-c2-0-9', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-280-8.3-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.762145434637415, 'root_angle': -0.3831372949454895, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.40130407069677544474580825635', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '508713346092799198470606414276', 'Lhash_array': ['508713346092799198470606414276'], 'label': '2-280-8.3-c2-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/280/3/o/a/211/44'}