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lfunc_lfunctions • Show schema
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{'Lhash': '2898112125015265407042994425873', 'a10': [12655.08696457912, 0.0], 'a2': [38.87648475766012, 0.0], 'a3': [-227.4553648466883, 0.0], 'a4': [999.3810671125797, 0.0], 'a5': [325.5203510159337, 0.0], 'a6': [-8842.6650245103, 0.0], 'a7': [0.0, 0.0], 'a8': [18947.66262677433, 0.0], 'a9': [32052.94299754009, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 25.23675597202979, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [0, 0]]]], 'bad_primes': [7], 'central_character': '49.1', 'coefficient_field': 'CDF', 'conductor': 49, 'conductor_radical': 7, 'degree': 2, 'euler_factors': [[[1.0, 0], [-38.87648475766012, 0], [512.0, 0]], [[1.0, 0], [227.4553648466883, 0], [19683.0, 0]], [[1.0, 0], [-325.5203510159337, 0], [1953125.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [48985.56718355385, 0], [2357947691.0, 0]], [[1.0, 0], [108737.47756967176, 0], [10604499373.0, 0]], [[1.0, 0], [228451.95430220995, 0], 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{'__RealLiteral__': 0, 'data': '5.30088719305749675611085789093', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 25.23675597202979, 'bad_primes': [7], 'central_character': '1.1', 'conductor': 49, 'conductor_radical': 7, 'degree': 2, 'index': 24, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/49/10/a/e/1/5'], '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': '2-7e2-1.1-c9-0-24', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9], 'order_of_vanishing': 1, 'prelabel': '2-7e2-1.1-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.023619807671535, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '2.28620735437153240085037496413', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2898112125015265407042994425873', 'Lhash_array': ['2898112125015265407042994425873'], 'factors': ['2-7e2-1.1-c9-0-24'], 'label': '2-7e2-1.1-c9-0-24', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/49/10/a/e/1/5'}