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lfunc_lfunctions • Show schema
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{'Lhash': '4102321689758436186015840127715', 'a10': [-22.955765660563944, 38.38010973065701], 'a2': [-2.053226099703054, 3.4328213736660094], 'a3': [0.0, -15.577892908992903], 'a4': [-7.5685251669963725, -14.096716880059077], 'a5': [11.180339887498949, 0.0], 'a6': [53.476123734671, 31.984936299123355], 'a7': [0.0, -37.62304625245742], 'a8': [63.931404413521584, 2.9623520578676508], 'a9': [-161.67074748405136, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.0673992616768873, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [2.053226099703054, -3.4328213736660094]]], [5, [[1.0, 0], [-11.180339887498949, 0]]]], 'bad_primes': [2, 5], 'central_character': '20.11', 'coefficient_field': 'CDF', 'conductor': 20, 'conductor_radical': 10, 'conjugate': '1542107243863078955219363560061', 'degree': 2, 'euler_factors': [[[1.0, 0], [2.053226099703054, -3.4328213736660094]], [[1.0, 0], [0, 15.577892908992903], [-81.0, 0]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.0673992616768873, 'bad_primes': [2, 5], 'central_character': '4.3', 'conductor': 20, 'conductor_radical': 10, 'degree': 2, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/20/5/b/a/11/2'], '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': '2-20-4.3-c4-0-4', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-20-4.3-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4378453538808988, 'root_angle': 0.17157959883294735, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '3.23616120169063072411840900659', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '4102321689758436186015840127715', 'Lhash_array': ['4102321689758436186015840127715'], 'label': '2-20-4.3-c4-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/20/5/b/a/11/2'}