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lfunc_lfunctions • Show schema
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{'Lhash': '2560229791740586775096745074651', 'a10': [7.889210876504177, -3.799243720544708], 'a2': [2.2042560435366494, 1.7578355370036913], 'a3': [0.0, 0.0], 'a4': [0.8786751944895287, 3.8497275632404615], 'a5': [1.3475604882656798, -2.798238187059149], 'a6': [0.0, 0.0], 'a7': [0.0, -7.154154203276173], 'a8': [0.0627164555661668, -0.13023206190032358], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.544986230743492, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [43, [[1.0, 0], [42.98603705959016, -1.095727115454061]]]], 'bad_primes': [3, 43], 'central_character': '387.82', 'coefficient_field': 'CDF', 'conductor': 387, 'conductor_radical': 129, 'conjugate': '1356994280704745736525056731457', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.2042560435366494, -1.7578355370036913], [0.8900837358252576, 3.8997116487272945]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.3475604882656798, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.544986230743492, 'bad_primes': [3, 43], 'central_character': '43.39', 'conductor': 387, 'conductor_radical': 129, 'degree': 2, 'index': 27, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/387/3/w/b/82/6'], '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': '2-387-43.39-c2-0-27', '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': '2-387-43.39-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.247304456121029, 'root_angle': 0.014759036346179862, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '2.01966519108628181717533069601', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2560229791740586775096745074651', 'Lhash_array': ['2560229791740586775096745074651'], 'label': '2-387-43.39-c2-0-27', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/387/3/w/b/82/6'}