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lfunc_lfunctions • Show schema
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{'Lhash': '1576236886521343745391345312293', 'a10': [31.694976293670383, -30.055814052749763], 'a2': [-3.1606988215338747, 2.2963821120607864], 'a3': [0.9270509831248422, -2.853169548885461], 'a4': [2.244510280853287, -6.907892340402765], 'a5': [-11.085213171013566, 1.4553518314096305], 'a6': [3.621838564872606, 11.146872925414867], 'a7': [22.091776474721506, 0.0], 'a8': [-0.8892967700646361, -2.7369740288910576], '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], [11.085213171013566, -1.4553518314096305]]]], 'bad_primes': [3, 5], 'central_character': '75.61', 'coefficient_field': 'CDF', 'conductor': 75, 'conductor_radical': 15, 'conjugate': '1398950272536836620402302716183', 'degree': 2, 'euler_factors': [[[1.0, 0], [3.1606988215338747, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.425143250430549, 'bad_primes': [3, 5], 'central_character': '25.11', 'conductor': 75, 'conductor_radical': 15, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/75/4/g/b/61/2'], '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': '2-75-25.11-c3-0-5', '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': '2-75-25.11-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.103602445908102, 'root_angle': -0.06155251218267289, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.24343165714397648885215034625', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1576236886521343745391345312293', 'Lhash_array': ['1576236886521343745391345312293'], 'label': '2-75-25.11-c3-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/75/4/g/b/61/2'}