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lfunc_lfunctions • Show schema
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{'Lhash': '2327360813078702296750650836042', 'a10': [0.9088113897692063, 50.81175201303071], 'a2': [3.6773609757158376, 2.6717591396848452], 'a3': [-0.9270509831248422, -2.853169548885461], 'a4': [3.9125508902286534, 12.041593463217108], 'a5': [6.7323411730904565, 8.926117987631073], 'a6': [4.213880711462919, -12.968991293289772], 'a7': [9.629952127660765, 0.0], 'a8': [-6.547360201922701, 20.150702705413938], 'a9': [-7.281152949374527, 5.2900672706322585], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.425143250430549, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.9270509831248422, 2.853169548885461]]], [5, [[1.0, 0], [-6.7323411730904565, -8.926117987631073]]]], 'bad_primes': [3, 5], 'central_character': '75.16', 'coefficient_field': 'CDF', 'conductor': 75, 'conductor_radical': 15, 'conjugate': '3340418314625670153607729440625', 'degree': 2, 'euler_factors': [[[1.0, 0], [-3.6773609757158376, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.425143250430549, 'bad_primes': [3, 5], 'central_character': '25.16', 'conductor': 75, 'conductor_radical': 15, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/75/4/g/a/16/7'], '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': '2-75-25.16-c3-0-6', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-75-25.16-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.103602445908102, 'root_angle': -0.1856926359920524, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.83596395778117514518332950799', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2327360813078702296750650836042', 'Lhash_array': ['2327360813078702296750650836042'], 'label': '2-75-25.16-c3-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/75/4/g/a/16/7'}