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lfunc_lfunctions • Show schema
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{'Lhash': '2287776908111417474854380881746', 'a10': [0.0, 0.0], 'a2': [0.0, -24.0], 'a3': [0.0, -252.0], 'a4': [1472.0, 0.0], 'a5': [0.0, 0.0], 'a6': [-6048.0, 0.0], 'a7': [0.0, -16744.0], 'a8': [0.0, -84480.0], 'a9': [113643.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 19.208579513989726, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]]], 'bad_primes': [5], 'central_character': '25.24', 'coefficient_field': 'CDF', 'conductor': 25, 'conductor_radical': 5, 'conjugate': '1174332944040823253890221302927', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 24.0], [-2048.0, 0]], [[1.0, 0], [0, 252.0], [-177147.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 16744.0], [-1977326743.0, 0]], [[1.0, 0], [-534612.0, 0], [285311670611.0, 0]], [[1.0, 0], [0, -577738.0], [-1792160394037.0, 0]], [[1.0, 0], [0, 6905934.0], [-34271896307633.0, 0]], [[1.0, 0], [10661420.0, 0], [116490258898219.0, 0]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 19.208579513989726, 'bad_primes': [5], 'central_character': '5.4', 'conductor': 25, 'conductor_radical': 5, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/25/12/b/b/24/1'], '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': '2-5e2-5.4-c11-0-12', 'motivic_weight': 11, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [11], 'order_of_vanishing': 0, 'prelabel': '2-5e2-5.4-c11-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.38275934931291, 'root_angle': 0.32379180882521663, 'self_dual': False, 'spectral_label': 'c11-0', 'z1': {'__RealLiteral__': 0, 'data': '1.80473776267650033488740826688', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2287776908111417474854380881746', 'Lhash_array': ['2287776908111417474854380881746'], 'label': '2-5e2-5.4-c11-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/25/12/b/b/24/1'}