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lfunc_lfunctions • Show schema
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{'Lhash': '1751029952580260209272817693157', 'a10': [177701221745.6125, 0.0], 'a2': [1563.8590343543906, 0.0], 'a3': [-177147.0, 0.0], 'a4': [-5942952.920668153, 0.0], 'a5': [113629948.63470738, 0.0], 'a6': [-277032936.3587772, 0.0], 'a7': [7852638003.156128, 0.0], 'a8': [-22412541022.187218, 0.0], 'a9': [31381059609.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.056121120353113, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '11.5', 'prec': 14}, 'bad_lfactors': [[3, [[1.0, 0], [177147.0, 0]]]], 'bad_primes': [3], 'central_character': '3.1', 'coefficient_field': 'CDF', 'conductor': 3, 'conductor_radical': 3, 'conjugate': '1751029952580260209272817693157', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1563.8590343543906, 0], [8388608.0, 0]], [[1.0, 0], [177147.0, 0]], [[1.0, 0], [-113629948.63470738, 0], [11920928955078124, 0]], [[1.0, 0], [-7852638003.156128, 0], [27368747340080914000, 0]], [[1.0, 0], [-1031371960211.9628, 0], [895430243255237400000000, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.056121120353113, 'bad_primes': [3], 'central_character': '1.1', 'conductor': 3, 'conductor_radical': 3, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3/24/a/b/1/2'], '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': '2-3-1.1-c23-0-1', 'motivic_weight': 23, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [23], 'order_of_vanishing': 0, 'prelabel': '2-3-1.1-c23-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1711387734303136, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c23-0', 'z1': {'__RealLiteral__': 0, 'data': '1.38131907346156944497222112369', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1751029952580260209272817693157', 'Lhash_array': ['1751029952580260209272817693157'], 'label': '2-3-1.1-c23-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3/24/a/b/1/2'}