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lfunc_lfunctions • Show schema
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{'Lhash': '1982468821858177643602521356046', 'a10': [-1.97411527057517, 4.099292598649527], 'a2': [-1.1615477994286822, 0.9263034599592901], 'a3': [0.0, 0.0], 'a4': [0.04611332251243329, -0.2020356666741284], 'a5': [2.759211468567001, -1.3287662111845149], 'a6': [0.0, 0.0], 'a7': [-2.645737262709358, -0.008621873995474632], 'a8': [-1.155637285415511, -2.3997055498420807], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.5214027291384666, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [2.645737262709358, 0.008621873995474632]]]], 'bad_primes': [3, 7], 'central_character': '441.188', 'coefficient_field': 'CDF', 'conductor': 441, 'conductor_radical': 21, 'conjugate': '1102546929378683291034226618706', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.1615477994286822, -0.9263034599592901], [0.4450418679126288, -1.9498558243636472]], [[1.0, 0], [0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.5214027291384666, 'bad_primes': [3, 7], 'central_character': '147.41', 'conductor': 441, 'conductor_radical': 21, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/441/2/w/a/188/6'], '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': '2-21e2-147.41-c1-0-12', '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': '2-21e2-147.41-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.8765400952653442, 'root_angle': 0.025529639600880075, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.56389214938347481107439079598', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1982468821858177643602521356046', 'Lhash_array': ['1982468821858177643602521356046'], 'label': '2-21e2-147.41-c1-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/441/2/w/a/188/6'}