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lfunc_lfunctions • Show schema
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{'Lhash': '3492387315170450829409745145935', 'a10': [-2.8395528970453445, -4.918249888461934], 'a2': [1.988974687601541, -0.7239275829958796], 'a3': [0.0, 0.0], 'a4': [1.899860276259436, -1.594172057097658], 'a5': [-0.465915060829343, -2.642335613967532], 'a6': [0.0, 0.0], 'a7': [0.7448500952836408, 0.6250034402348649], 'a8': [0.5080862227226312, -0.8800311523813538], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.9403647691171142, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]]], 'bad_primes': [3], 'central_character': '243.55', 'coefficient_field': 'CDF', 'conductor': 243, 'conductor_radical': 3, 'conjugate': '2290929239251123804359240862401', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.988974687601541, 0.7239275829958796], [1.532088886237956, -1.2855752193730787]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.465915060829343, 2.642335613967532], [-4.698463103929542, 1.7101007166283437]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.9403647691171142, 'bad_primes': [3], 'central_character': '27.7', 'conductor': 243, 'conductor_radical': 3, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/243/2/e/c/55/2'], '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': '2-3e5-27.7-c1-0-7', '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': '2-3e5-27.7-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.392969766045593, 'root_angle': 0.16285412860283752, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.75500781882774089626901301080', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3492387315170450829409745145935', 'Lhash_array': ['3492387315170450829409745145935'], 'label': '2-3e5-27.7-c1-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/243/2/e/c/55/2'}