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lfunc_lfunctions • Show schema
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{'Lhash': '1082674062476078564107672327807', 'a10': [0.527306671617007, 0.25352719466460255], 'a2': [-0.24885293423932792, 0.08085721979970983], 'a3': [-0.408372623922767, -0.5620766963826703], 'a4': [-1.5626440958641101, 1.1353273917817621], 'a5': [-1.6171944819212767, -1.5442415638893332], 'a6': [0.14707268470990248, 0.10685456014966793], 'a7': [0.0, 1.7690421180548004], 'a8': [0.6046682950857104, -0.8322545092381004], 'a9': [0.7778889704779514, -2.3940960781901977], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.393642085904418, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [1.6171944819212767, 1.5442415638893332]]], [17, [[1.0, 0], [0.5877852522924731, -0.8090169943749475]]]], 'bad_primes': [5, 17], 'central_character': '425.69', 'coefficient_field': 'CDF', 'conductor': 425, 'conductor_radical': 85, 'conjugate': '1462999893380661664119090393171', 'degree': 2, 'euler_factors': [[[1.0, 0], 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0, 'data': '-0.0673439772953', 'prec': 54}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.854079240984189626153367641145', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '3.17433812005596293024219623772', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.26732822303352957183917251875', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.393642085904418, 'bad_primes': [5, 17], 'central_character': '25.19', 'conductor': 425, 'conductor_radical': 85, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/425/2/r/a/69/20'], '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': '2-425-25.19-c1-0-8', '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': '2-425-25.19-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.8421840532108669, 'root_angle': -0.06734397729528352, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.854079240984189626153367641145', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1082674062476078564107672327807', 'Lhash_array': ['1082674062476078564107672327807'], 'factors': ['2-425-25.19-c1-0-8'], 'label': '2-425-25.19-c1-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/425/2/r/a/69/20'}