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lfunc_lfunctions • Show schema
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{'Lhash': '2445108736010215131697765147325', 'a10': [1.9445806457430146, 1.1039049380275823], 'a2': [0.0, -1.0], 'a3': [0.0, -0.3329244786944491], 'a4': [-1.0, 0.0], 'a5': [-1.1039049380275823, 1.9445806457430146], 'a6': [-0.3329244786944491, 0.0], 'a7': [0.0, -3.5133565350141804], 'a8': [0.0, 1.0], 'a9': [2.889161291486029, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.9544648747873756, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 1.0]]], [5, [[1.0, 0], [1.1039049380275823, -1.9445806457430146]]], [37, [[1.0, 0], [0, 1.0]]]], 'bad_primes': [2, 5, 37], 'central_character': '370.149', 'coefficient_field': 'CDF', 'conductor': 370, 'conductor_radical': 370, 'conjugate': '1000310828996380149959809247903', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 1.0]], [[1.0, 0], [0, 0.3329244786944491], [-3.0, 0]], [[1.0, 0], [1.1039049380275823, -1.9445806457430146]], [[1.0, 0], [0, 3.5133565350141804], [-7.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.9544648747873756, 'bad_primes': [2, 5, 37], 'central_character': '5.4', 'conductor': 370, 'conductor_radical': 370, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/370/2/b/d/149/3'], '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': '2-370-5.4-c1-0-13', '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': '2-370-5.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7188556875978203, 'root_angle': 0.33217453074231856, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.92885069085282229420940045713', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2445108736010215131697765147325', 'Lhash_array': ['2445108736010215131697765147325'], 'label': '2-370-5.4-c1-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/370/2/b/d/149/3'}