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lfunc_lfunctions • Show schema
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{'Lhash': '1470687860364588001418995300204', 'a10': [-0.4625087835251468, -1.9846984495265008], 'a2': [-1.3952959686242223, -0.23054101574555744], 'a3': [-3.034703748131073, -1.2570154502603554], 'a4': [1.8937016801180133, 0.6433458997446193], 'a5': [0.5514455188042015, 1.3313072504069707], 'a6': [3.9445162870252215, 2.4535322748276234], 'a7': [-0.7071067811865476, 0.7071067811865476], 'a8': [-2.4939567028427163, -1.3342338491980659], 'a9': [5.508018653167895, 5.508018653167895], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.7886490052766815, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.3952959686242223, 0.23054101574555744]]], [7, [[1.0, 0], [0.7071067811865476, -0.7071067811865476]]]], 'bad_primes': [2, 7], 'central_character': '224.29', 'coefficient_field': 'CDF', 'conductor': 224, 'conductor_radical': 14, 'conjugate': '998260754426577133853809891637', 'degree': 2, 'euler_factors': [[[1.0, 0], 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{'__RealLiteral__': 0, 'data': '5.45786679750590722034045566163', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.7886490052766815, 'bad_primes': [2, 7], 'central_character': '32.29', 'conductor': 224, 'conductor_radical': 14, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/224/2/u/b/29/1'], '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': '2-224-32.29-c1-0-3', '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': '2-224-32.29-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3374038302908666, 'root_angle': 0.16155644452920218, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.16016815682476189996781967171', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1470687860364588001418995300204', 'Lhash_array': ['1470687860364588001418995300204'], 'label': '2-224-32.29-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/224/2/u/b/29/1'}