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lfunc_lfunctions • Show schema
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{'Lhash': '1671997085743703882379270174167', 'a10': [1.7343771691691199, 3.6014713015062365], 'a2': [-2.1331732599465596, -1.701148908682908], 'a3': [0.0, 0.0], 'a4': [1.211478679525354, 5.307834902015654], 'a5': [-1.3199788782244655, -0.6356683251149362], 'a6': [0.0, 0.0], 'a7': [-0.795783232022964, -2.52323781036015], 'a8': [4.077479931356786, -8.466974321556668], '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], [0.795783232022964, 2.52323781036015]]]], 'bad_primes': [3, 7], 'central_character': '441.251', 'coefficient_field': 'CDF', 'conductor': 441, 'conductor_radical': 21, 'conjugate': '818887364541380799413783681632', 'degree': 2, 'euler_factors': [[[1.0, 0], [2.1331732599465596, 1.701148908682908], [0.4450418679126288, 1.9498558243636472]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.3199788782244655, 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'3.37454305591819473941221194651', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.41551673343039942995506093373', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.5214027291384666, 'bad_primes': [3, 7], 'central_character': '147.104', 'conductor': 441, 'conductor_radical': 21, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/441/2/w/a/251/1'], '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': '2-21e2-147.104-c1-0-6', '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': '2-21e2-147.104-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.8765400952653442, 'root_angle': 0.37826140858865076, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.31897313458667193726908934653', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1671997085743703882379270174167', 'Lhash_array': ['1671997085743703882379270174167'], 'label': '2-21e2-147.104-c1-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/441/2/w/a/251/1'}