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lfunc_lfunctions • Show schema
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{'Lhash': '1264653429564181201878520468514', 'a10': [-1717.6602029796938, 0], 'a2': [0, -4.695570570926212], 'a3': [0, 0], 'a4': [233.95161701345168, 0], 'a5': [0, -365.80436328973786], 'a6': [0, 0], 'a7': [-3781.026872276297, 0], 'a8': [0, -2300.602394026074], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 98.99300224485394, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]]], 'bad_primes': [3], 'central_character': '243.242', 'coefficient_field': 'CDF', 'conductor': 243, 'conductor_radical': 3, 'conjugate': '742328686328521772298856946221', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 4.695570570926212], [-256.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 365.80436328973786], [-390625.0, 0]], [[1.0, 0], [3781.026872276297, 0], [5764801.0, 0]], [[1.0, 0], [0, 13053.942172015879], [-214358881.0, 0]], [[1.0, 0], [-21388.376009804542, 0], [815730721.0, 0]], [[1.0, 0], [0, -148587.37046261044], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 98.99300224485394, 'bad_primes': [3], 'central_character': '3.2', 'conductor': 243, 'conductor_radical': 3, 'degree': 2, 'index': 61, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/243/9/b/i/242/20'], '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': '2-3e5-3.2-c8-0-61', 'motivic_weight': 8, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [8], 'order_of_vanishing': 0, 'prelabel': '2-3e5-3.2-c8-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.949522714424745, 'root_angle': 0.25, 'self_dual': False, 'spectral_label': 'c8-0', 'z1': {'__RealLiteral__': 0, 'data': '0.997635649236857076185991349762', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1264653429564181201878520468514', 'Lhash_array': ['1264653429564181201878520468514'], 'factors': ['2-3e5-3.2-c8-0-61'], 'label': '2-3e5-3.2-c8-0-61', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/243/9/b/i/242/20'}