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lfunc_lfunctions • Show schema
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{'Lhash': '2122550490997185617203314625458', 'a10': [2870.9111067620547, 1084.5899679157696], 'a2': [11.308100171882943, -0.356188858137048], 'a3': [27.356184849742387, 66.04367247903346], 'a4': [127.74625899467806, -8.055638575844682], 'a5': [250.61118373138925, 103.80655118391698], 'a6': [332.8704988889175, 737.0844958673232], 'a7': [-662.2821864981033, -662.2821864981033], 'a8': [1441.698164589227, -136.5957620867301], 'a9': [-2066.963294529587, 2066.963294529587], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.9963208154919, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-11.308100171882943, 0.356188858137048]]]], 'bad_primes': [2], 'central_character': '32.5', 'coefficient_field': 'CDF', 'conductor': 32, 'conductor_radical': 2, 'conjugate': '3390995554665012685443826389216', 'degree': 2, 'euler_factors': [[[1.0, 0], [-11.308100171882943, 0.356188858137048]], [[1.0, 0], [-27.356184849742387, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.9963208154919, 'bad_primes': [2], 'central_character': '32.5', 'conductor': 32, 'conductor_radical': 2, 'degree': 2, 'index': 16, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/32/8/g/a/5/27'], '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': '2-2e5-32.5-c7-0-16', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-2e5-32.5-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.16169587650234, 'root_angle': -0.1813074718543459, 'self_dual': False, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '1.67439710170534291453282925602', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2122550490997185617203314625458', 'Lhash_array': ['2122550490997185617203314625458'], 'label': '2-2e5-32.5-c7-0-16', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/32/8/g/a/5/27'}