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lfunc_lfunctions • Show schema
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{'Lhash': '1716219575182251352564402103089', 'a10': [10.195008734623427, 0.0], 'a2': [2.491245850781274, 0.0], 'a3': [-1.8216177263408015, 0.0], 'a4': [4.206305889034914, 0.0], 'a5': [4.092333452929261, 0.0], 'a6': [-4.53809760245614, 0.0], 'a7': [3.0667261733571807, 0.0], 'a8': [5.496450391612519, 0.0], 'a9': [0.3182911409190312, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 31.0378512656717, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[13, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [13, 23], 'central_character': '3887.1', 'coefficient_field': 'CDF', 'conductor': 3887, 'conductor_radical': 299, 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.491245850781274, 0], [2.0, 0]], [[1.0, 0], [1.8216177263408015, 0], [3.0, 0]], [[1.0, 0], [-4.092333452929261, 0], [5.0, 0]], [[1.0, 0], [-3.0667261733571807, 0], [7.0, 0]], [[1.0, 0], [-1.1613273877173649, 0], [11.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 31.0378512656717, 'bad_primes': [13, 23], 'central_character': '1.1', 'conductor': 3887, 'conductor_radical': 299, 'degree': 2, 'index': 190, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3887/2/a/p/1/9'], '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': '2-3887-1.1-c1-0-190', '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': '2-3887-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.571162469868537, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.35385852763629112871540751262', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1716219575182251352564402103089', 'Lhash_array': ['1716219575182251352564402103089'], 'label': '2-3887-1.1-c1-0-190', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3887/2/a/p/1/9'}