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lfunc_lfunctions • Show schema
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{'Lhash': '2115692473643803743084689384309', 'a10': [0.0, 0.0], 'a2': [-0.30901699437494745, -0.9510565162951535], 'a3': [0.5, 0.36327126400268045], 'a4': [-0.8090169943749475, 0.5877852522924731], 'a5': [0.0, 0.0], 'a6': [0.19098300562505258, -0.5877852522924731], 'a7': [1.8090169943749475, -1.314327780297834], 'a8': [0.8090169943749475, 0.5877852522924731], 'a9': [-0.8090169943749475, -2.48989828488278], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.3917721111704235, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.30901699437494745, 0.9510565162951535]]], [5, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [1.2360679774997898, 3.0776835371752536]]]], 'bad_primes': [2, 5, 11], 'central_character': '550.401', 'coefficient_field': 'CDF', 'conductor': 550, 'conductor_radical': 110, 'conjugate': '1153352401094408227502778358444', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.30901699437494745, 0.9510565162951535]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.3917721111704235, 'bad_primes': [2, 5, 11], 'central_character': '11.5', 'conductor': 550, 'conductor_radical': 110, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/550/2/h/g/401/1'], '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': '2-550-11.5-c1-0-13', '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': '2-550-11.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.095655532565031, 'root_angle': 0.24650086717177852, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.66898707992793268170819857843', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2115692473643803743084689384309', 'Lhash_array': ['2115692473643803743084689384309'], 'label': '2-550-11.5-c1-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/550/2/h/g/401/1'}