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lfunc_lfunctions • Show schema
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{'Lhash': '1096285836956824556287482722855', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.05565502213198318, 0.06978919034524689], 'a4': [0.0, 0.0], 'a5': [-3.2760441354758427, -2.6125580188462454], 'a6': [0.0, 0.0], 'a7': [1.5127642985667675, 2.170609171864386], 'a8': [0.0, 0.0], 'a9': [0.6657897522684096, 2.917015498678995], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.260271518468385, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [-1.5127642985667675, -2.170609171864386]]]], 'bad_primes': [2, 7], 'central_character': '784.671', 'coefficient_field': 'CDF', 'conductor': 784, 'conductor_radical': 14, 'conjugate': '1359129487703651027133733212257', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0.05565502213198318, -0.06978919034524689], [-0.6675628018689432, -2.924783736545471]], [[1.0, 0], [3.2760441354758427, 2.6125580188462454], [1.1126046697815721, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.260271518468385, 'bad_primes': [2, 7], 'central_character': '196.83', 'conductor': 784, 'conductor_radical': 14, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/784/2/bb/b/671/9'], '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': '2-28e2-196.83-c1-0-6', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-28e2-196.83-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.502053460353792, 'root_angle': -0.032178856175381465, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.864817037722735177472302757967', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1096285836956824556287482722855', 'Lhash_array': ['1096285836956824556287482722855'], 'label': '2-28e2-196.83-c1-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/784/2/bb/b/671/9'}