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lfunc_lfunctions • Show schema
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{'Lhash': '2771928481651028464808639890411', 'a10': [-2.0490441831353317, 9.826845705739518e-61], 'a2': [0.6331894748139496, -1.9487568225475373], 'a3': [0.0, 0.0], 'a4': [-1.7786902536605138, -1.2922941134330064], 'a5': [-0.30901699437494745, -0.9510565162951535], 'a6': [0.0, 0.0], 'a7': [0.4772680201280395, 0.3467555138799393], 'a8': [-0.32919178509935276, 0.23917183174468123], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.952594900053381, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0.30901699437494745, 0.9510565162951535]]], [11, [[1.0, 0], [-0.9337380757959699, 3.1824728130510147]]]], 'bad_primes': [3, 5, 11], 'central_character': '495.361', 'coefficient_field': 'CDF', 'conductor': 495, 'conductor_radical': 165, 'conjugate': '1192078053416259559786586825734', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.6331894748139496, 1.9487568225475373], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.952594900053381, 'bad_primes': [3, 5, 11], 'central_character': '11.9', 'conductor': 495, 'conductor_radical': 165, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/495/2/n/h/361/4'], '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': '2-495-11.9-c1-0-17', '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': '2-495-11.9-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9881134022115994, 'root_angle': 0.4381385126642352, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.18666601124313512713158963370', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2771928481651028464808639890411', 'Lhash_array': ['2771928481651028464808639890411'], 'label': '2-495-11.9-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/495/2/n/h/361/4'}