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lfunc_lfunctions • Show schema
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{'Lhash': '350486871141746718788595332117', 'a10': [-386.0625688629071, 0.0], 'a2': [1.254360705154687, 0.0], 'a3': [8.414275172848539, 0.0], 'a4': [-126.42657922136384, 0.0], 'a5': [-307.7763575313037, 0.0], 'a6': [10.55453613917987, 0.0], 'a7': [83.69742213084403, 0.0], 'a8': [-319.14270332220474, 0.0], 'a9': [-2116.199973315585, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 52.7930693068166, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[13, [[1.0, 0], [0, 0]]]], 'bad_primes': [13], 'central_character': '169.1', 'coefficient_field': 'CDF', 'conductor': 169, 'conductor_radical': 13, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.254360705154687, 0], [128.0, 0]], [[1.0, 0], [-8.414275172848539, 0], [2187.0, 0]], [[1.0, 0], [307.7763575313037, 0], [78125.0, 0]], [[1.0, 0], [-83.69742213084403, 0], [823543.0, 0]], [[1.0, 0], [3727.87750079377, 0], [19487171.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [35538.41434504506, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 52.7930693068166, 'bad_primes': [13], 'central_character': '1.1', 'conductor': 169, 'conductor_radical': 13, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/169/8/a/i/1/10'], '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': '2-13e2-1.1-c7-0-5', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-13e2-1.1-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.265883931554137, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '0.27648539043695843602849712715', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '350486871141746718788595332117', 'Lhash_array': ['350486871141746718788595332117'], 'factors': ['2-13e2-1.1-c7-0-5'], 'label': '2-13e2-1.1-c7-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/169/8/a/i/1/10'}