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lfunc_lfunctions • Show schema
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{'Lhash': '2487419015376055590619550034971', 'a10': [0.0, 0.0], 'a2': [-1.1311148979503658, -2.592407970909427], 'a3': [6.257845408055153, 0.0], 'a4': [-5.441158175269468, 5.864622554921863], 'a5': [0.0, 0.0], 'a6': [-7.078342170121469, -16.222888316561136], 'a7': [0.0, -34.62796465456409], 'a8': [21.358069331906368, 7.4721398818197065], 'a9': [12.16062915111696, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 11.800382001148128, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.1311148979503658, 2.592407970909427]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5], 'central_character': '200.149', 'coefficient_field': 'CDF', 'conductor': 200, 'conductor_radical': 10, 'conjugate': '972360120973203307769986095514', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.1311148979503658, 2.592407970909427]], [[1.0, 0], [-6.257845408055153, 0], [27.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 34.62796465456409], [-343.0, 0]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 11.800382001148128, 'bad_primes': [2, 5], 'central_character': '40.29', 'conductor': 200, 'conductor_radical': 10, 'degree': 2, 'index': 41, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/200/4/f/c/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': '2-200-40.29-c3-0-41', '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': '2-200-40.29-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.4351684094303336, 'root_angle': 0.3773541299379282, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.96222761613351309595017401360', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2487419015376055590619550034971', 'Lhash_array': ['2487419015376055590619550034971'], 'label': '2-200-40.29-c3-0-41', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/200/4/f/c/149/3'}