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lfunc_lfunctions • Show schema
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{'Lhash': '1817502322538065288049977900152', 'a10': [4010.9352321546567, 0.0], 'a2': [-21.30767106542331, 0.0], 'a3': [86.94754881548629, 0.0], 'a4': [326.0168462322777, 0.0], 'a5': [-188.239025271201, 0.0], 'a6': [-1852.6497701052178, 0.0], 'a7': [639.1552297074766, 0.0], 'a8': [-4219.27782492988, 0.0], 'a9': [5372.87624502137, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.184855586134804, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[23, [[1.0, 0], [12167.0, 0]]]], 'bad_primes': [23], 'central_character': '23.1', 'coefficient_field': 'CDF', 'conductor': 23, 'conductor_radical': 23, 'conjugate': '1817502322538065288049977900152', 'degree': 2, 'euler_factors': [[[1.0, 0], [21.30767106542331, 0], [128.0, 0]], [[1.0, 0], [-86.94754881548629, 0], [2187.0, 0]], [[1.0, 0], [188.239025271201, 0], [78125.0, 0]], [[1.0, 0], [-639.1552297074766, 0], [823543.0, 0]], [[1.0, 0], [1629.291603478321, 0], [19487171.0, 0]], [[1.0, 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'z3': {'__RealLiteral__': 0, 'data': '7.58554788445951761117113362692', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.184855586134804, 'bad_primes': [23], 'central_character': '1.1', 'conductor': 23, 'conductor_radical': 23, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/23/8/a/b/1/1'], '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': '2-23-1.1-c7-0-3', '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': '2-23-1.1-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6804580925906683, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '1.43375652739866954972433886572', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1817502322538065288049977900152', 'Lhash_array': ['1817502322538065288049977900152'], 'label': '2-23-1.1-c7-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/23/8/a/b/1/1'}