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lfunc_lfunctions • Show schema
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{'Lhash': '427408461255784304317030199453', 'a10': [-16.388149039734902, 0.0], 'a2': [2.1766695892406465, 0.0], 'a3': [0.0, 0.0], 'a4': [-3.2621094992749553, 0.0], 'a5': [-7.529001700920567, 0.0], 'a6': [0.0, 0.0], 'a7': [-1.7675077936460588, 0.0], 'a8': [-24.51389125777, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 126.91310842234812, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [239, [[1.0, 0], [-239.0, 0]]]], 'bad_primes': [3, 239], 'central_character': '2151.1', 'coefficient_field': 'CDF', 'conductor': 2151, 'conductor_radical': 717, 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.1766695892406465, 0], [8.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [7.529001700920567, 0], [125.0, 0]], [[1.0, 0], [1.7675077936460588, 0], [343.0, 0]], [[1.0, 0], [0.11482549646737304, 0], [1331.0, 0]], [[1.0, 0], [11.72191066437754, 0], [2197.0, 0]], [[1.0, 0], [131.61604641578762, 0], [4913.0, 0]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 126.91310842234812, 'bad_primes': [3, 239], 'central_character': '1.1', 'conductor': 2151, 'conductor_radical': 717, 'degree': 2, 'index': 31, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2151/4/a/e/1/21'], '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': '2-2151-1.1-c3-0-31', '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': '2-2151-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 11.265571819590345, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '0.33716582564535775845871757838', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '427408461255784304317030199453', 'Lhash_array': ['427408461255784304317030199453'], 'label': '2-2151-1.1-c3-0-31', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2151/4/a/e/1/21'}