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lfunc_lfunctions • Show schema
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{'Lhash': '2905119859294838489532350295562', 'a10': [-18.0566640941024, 0.0], 'a2': [-2.923347276399215, 0.0], 'a3': [4.54138126514911, 0.0], 'a4': [0.5459592984307083, 0.0], 'a5': [6.1767085422514, 0.0], 'a6': [-13.276034552564072, 0.0], 'a7': [-32.127090258947995, 0.0], 'a8': [21.790749583101483, 0.0], 'a9': [-6.3758562045526705, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.139231110694618, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[11, [[1.0, 0], [0, 0]]]], 'bad_primes': [11], 'central_character': '121.1', 'coefficient_field': 'CDF', 'conductor': 121, 'conductor_radical': 11, 'conjugate': '2905119859294838489532350295562', 'degree': 2, 'euler_factors': [[[1.0, 0], [2.923347276399215, 0], [8.0, 0]], [[1.0, 0], [-4.54138126514911, 0], [27.0, 0]], [[1.0, 0], [-6.1767085422514, 0], [125.0, 0]], [[1.0, 0], [32.127090258947995, 0], [343.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-4.497142980205194, 0], [2197.0, 0]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.139231110694618, 'bad_primes': [11], 'central_character': '1.1', 'conductor': 121, 'conductor_radical': 11, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/121/4/a/f/1/2'], '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': '2-11e2-1.1-c3-0-14', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 1, 'prelabel': '2-11e2-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.671933964508595, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '2.29173548197886473772154199433', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2905119859294838489532350295562', 'Lhash_array': ['2905119859294838489532350295562'], 'factors': ['2-11e2-1.1-c3-0-14'], 'label': '2-11e2-1.1-c3-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/121/4/a/f/1/2'}