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lfunc_lfunctions • Show schema
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{'Lhash': '325476089752454335314128378590', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 1.5420283238747192], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [-7.172643060390257, 0], 'a8': [0, 0], 'a9': [6.622148648368124, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 62.67046080286829, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [-22.037088276419844, -6.585342838249123]]]], 'bad_primes': [2, 5, 23], 'central_character': '2300.1149', 'coefficient_field': 'CDF', 'conductor': 2300, 'conductor_radical': 230, 'conjugate': '1917846118533146430257965363264', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, -1.5420283238747192], [-9.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [7.172643060390257, 0], [49.0, 0]], [[1.0, 0], [0, -14.053362843130639], [-121.0, 0]], [[1.0, 0], [0, -20.388382552452445], [-169.0, 0]], [[1.0, 0], [20.32194091875918, 0], [289.0, 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{'__RealLiteral__': 0, 'data': '2.68029949334242585330318279243', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 62.67046080286829, 'bad_primes': [2, 5, 23], 'central_character': '115.114', 'conductor': 2300, 'conductor_radical': 230, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2300/3/d/c/1149/8'], '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': '2-2300-115.114-c2-0-13', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-2300-115.114-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.916467697329933, 'root_angle': 0.47242408804267816, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.25675536278991641114161651132', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '325476089752454335314128378590', 'Lhash_array': ['325476089752454335314128378590'], 'label': '2-2300-115.114-c2-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2300/3/d/c/1149/8'}