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lfunc_lfunctions • Show schema
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{'Lhash': '401364146766724450390289884456', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-1.7319192910191414, -0.34450016628711627], 'a4': [0.0, 0.0], 'a5': [-0.6387291462948281, -0.9559257211272479], 'a6': [0.0, 0.0], 'a7': [-5.52260149292951, 8.265157219223338], 'a8': [0.0, 0.0], 'a9': [-5.434051726569186, -2.2508579237818904], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.7057315953000383, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [17, [[1.0, 0], [9.299151046222681, -14.231155603798857]]]], 'bad_primes': [2, 17], 'central_character': '136.105', 'coefficient_field': 'CDF', 'conductor': 136, 'conductor_radical': 34, 'conjugate': '3044355376140817869618825391798', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.7319192910191414, 0.34450016628711627], [8.31491579260158, 3.444150891285808]], [[1.0, 0], [0.6387291462948281, 0.9559257211272479], [-9.567085809127244, 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{'__RealLiteral__': 0, 'data': '4.55063006977162455742880182429', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.7057315953000383, 'bad_primes': [2, 17], 'central_character': '17.3', 'conductor': 136, 'conductor_radical': 34, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/136/3/t/b/105/2'], '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': '2-136-17.3-c2-0-0', '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': '2-136-17.3-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9250276868918115, 'root_angle': -0.3750237739977919, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.31662048414165728852496345049', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '401364146766724450390289884456', 'Lhash_array': ['401364146766724450390289884456'], 'label': '2-136-17.3-c2-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/136/3/t/b/105/2'}