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lfunc_lfunctions • Show schema
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{'Lhash': '1583366854434180567038377309672', 'a10': [0.0, -21.793565509928698], 'a2': [2.8284271247461903, 0.0], 'a3': [5.196152422706632, 0.0], 'a4': [8.0, 0.0], 'a5': [0.0, -7.70518897915192], 'a6': [14.696938456699069, 0.0], 'a7': [0.0, 72.10106769774566], 'a8': [22.627416997969522, 0.0], 'a9': [27.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 14.265054905570521, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-2.8284271247461903, 0]]], [3, [[1.0, 0], [-5.196152422706632, 0]]], [23, [[1.0, 0], [-445.3860577592783, 285.4334590647158]]]], 'bad_primes': [2, 3, 23], 'central_character': '138.91', 'coefficient_field': 'CDF', 'conductor': 138, 'conductor_radical': 138, 'conjugate': '2325212963801771868413725175565', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.8284271247461903, 0]], [[1.0, 0], [-5.196152422706632, 0]], [[1.0, 0], [0, 7.70518897915192], [-625.0, 0]], [[1.0, 0], [0, -72.10106769774566], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 14.265054905570521, 'bad_primes': [2, 3, 23], 'central_character': '23.22', 'conductor': 138, 'conductor_radical': 138, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/138/5/b/a/91/14'], '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': '2-138-23.22-c4-0-8', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-138-23.22-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.7769107621931606, 'root_angle': -0.09070691999381644, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '1.24905621008589371217489535835', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1583366854434180567038377309672', 'Lhash_array': ['1583366854434180567038377309672'], 'label': '2-138-23.22-c4-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/138/5/b/a/91/14'}