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lfunc_lfunctions • Show schema
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{'Lhash': '1632004655634273755040310719711', 'a10': [-0.1512702185075827, -0.08733590137572639], 'a2': [0.04484600881649469, -0.12321339657598207], 'a3': [0.0, 0.0], 'a4': [1.518918509648935, 1.2745239612347652], 'a5': [0.23132412027529056, -1.3119042777563157], 'a6': [0.0, 0.0], 'a7': [-2.626138104456322, 0.32155661449044637], 'a8': [0.452264020189215, -0.2611147538010256], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.5275177946066, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [2.626138104456322, -0.32155661449044637]]]], 'bad_primes': [3, 7], 'central_character': '567.503', 'coefficient_field': 'CDF', 'conductor': 567, 'conductor_radical': 21, 'conjugate': '1815317525340777358576958402232', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.04484600881649469, 0.12321339657598207], [-1.532088886237956, -1.2855752193730787]], [[1.0, 0], [0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.5275177946066, 'bad_primes': [3, 7], 'central_character': '189.104', 'conductor': 567, 'conductor_radical': 21, 'degree': 2, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/567/2/be/a/503/12'], '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': '2-567-189.104-c1-0-11', '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': '2-567-189.104-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.1277964645629526, 'root_angle': -0.027670415554835657, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.28742466996855883880092502370', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1632004655634273755040310719711', 'Lhash_array': ['1632004655634273755040310719711'], 'factors': ['2-567-189.104-c1-0-11'], 'label': '2-567-189.104-c1-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/567/2/be/a/503/12'}