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lfunc_lfunctions • Show schema
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{'Lhash': '1678650951032955151645424227594', 'a10': [-0.1843379014536496, -4.501163302223592e-61], 'a2': [0.4282828898293324, 1.318119199281579], 'a3': [0.09908767405910664, 0.07199140920507456], 'a4': [0.0640219989557479, -0.046514704969265644], 'a5': [-0.04110064551523626, 0.12649478006951853], 'a6': [-0.05245570326404421, 0.16144205436669906], 'a7': [0.8090169943749475, -0.5877852522924731], 'a8': [2.331249777140763, 1.6937521064957841], 'a9': [-0.922415378973731, -2.838902626304724], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.763329051202452, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [-0.8090169943749475, 0.5877852522924731]]], [11, [[1.0, 0], [0, 0]]]], 'bad_primes': [7, 11], 'central_character': '847.148', 'coefficient_field': 'CDF', 'conductor': 847, 'conductor_radical': 77, 'conjugate': '1660192073089871677375662320094', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.4282828898293324, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.763329051202452, 'bad_primes': [7, 11], 'central_character': '11.5', 'conductor': 847, 'conductor_radical': 77, 'degree': 2, 'index': 27, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/847/2/f/z/148/6'], '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': '2-847-11.5-c1-0-27', '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': '2-847-11.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6006401233547196, 'root_angle': -0.14792159921056244, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.32422210878196936309533017552', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1678650951032955151645424227594', 'Lhash_array': ['1678650951032955151645424227594'], 'label': '2-847-11.5-c1-0-27', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/847/2/f/z/148/6'}