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lfunc_lfunctions • Show schema
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{'Lhash': '2415132676750188227097690793676', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, -1.5070890039436848], 'a4': [0.0, 0.0], 'a5': [3.692494857479671, -3.371273012896787], 'a6': [0.0, 0.0], 'a7': [1.2818248565789256, -1.2818248565789256], 'a8': [0.0, 0.0], 'a9': [6.7286827341920326, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.719368459529502, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-3.692494857479671, 3.371273012896787]]]], 'bad_primes': [2, 5], 'central_character': '320.177', 'coefficient_field': 'CDF', 'conductor': 320, 'conductor_radical': 10, 'conjugate': '1134480833036390941103738253844', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 1.5070890039436848], [-9.0, 0]], [[1.0, 0], [-3.692494857479671, 3.371273012896787]], [[1.0, 0], [-1.2818248565789256, 1.2818248565789256], [0, -49.0]], [[1.0, 0], [13.276188186096729, 13.276188186096729], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 8.719368459529502, 'bad_primes': [2, 5], 'central_character': '80.37', 'conductor': 320, 'conductor_radical': 10, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/320/3/i/a/177/9'], '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': '2-320-80.37-c2-0-17', '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': '2-320-80.37-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.952857676815715, 'root_angle': 0.2536386211186457, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.90520374960999877694604962904', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2415132676750188227097690793676', 'Lhash_array': ['2415132676750188227097690793676'], 'label': '2-320-80.37-c2-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/320/3/i/a/177/9'}