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lfunc_lfunctions • Show schema
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{'Lhash': '2871361995959648175244698467200', 'a10': [-0.36426700177852467, -0.1754217425256544], 'a2': [0.3092959049343008, 0.38784479738910743], 'a3': [0.0, 0.0], 'a4': [0.3902822378599591, -1.7099382091985982], 'a5': [-0.7343025146447069, 0.3536214535794344], 'a6': [0.0, 0.0], 'a7': [-2.3563350648682837, -1.203197848266103], 'a8': [1.6777944006411813, -0.807983198926183], '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], [2.3563350648682837, 1.203197848266103]]]], 'bad_primes': [3, 7], 'central_character': '441.253', 'coefficient_field': 'CDF', 'conductor': 441, 'conductor_radical': 21, 'conjugate': '804535225990206937596994648383', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.3092959049343008, -0.38784479738910743], [-0.4450418679126288, 1.9498558243636472]], [[1.0, 0], [0, 0]], [[1.0, 0], 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'data': '3.28646845547595157473638726001', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.42629118180646947317978684057', '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': '49.8', 'conductor': 441, 'conductor_radical': 21, 'degree': 2, 'index': 22, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/441/2/u/c/253/3'], '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': '2-21e2-49.8-c1-0-22', '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': '2-21e2-49.8-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.8765400952653442, 'root_angle': 0.2727261011701853, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.26510522334993930172279773467', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2871361995959648175244698467200', 'Lhash_array': ['2871361995959648175244698467200'], 'label': '2-21e2-49.8-c1-0-22', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/441/2/u/c/253/3'}