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lfunc_lfunctions • Show schema
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{'Lhash': '5234969467371521338271441740409', 'a10': [-1.2393136749274758, 5.208104804339304], 'a2': [0.0, -2.3941701709713277], 'a3': [-0.7962252170181257, -1.5381890013208515], 'a4': [-3.732050807568877, 0.0], 'a5': [-2.175327747161075, -0.5176380902050415], 'a6': [-3.682686224278559, 1.9062986639599686], 'a7': [3.3858679264167635, 0.0], 'a8': [0.0, 4.146824378088206], 'a9': [-1.7320508075688772, 2.449489742783178], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.3175316333511269, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.7962252170181257, 1.5381890013208515]]], [5, [[1.0, 0], [2.175327747161075, 0.5176380902050415]]], [11, [[1.0, 0], [-2.695913424505899, 1.9318516525781366]]]], 'bad_primes': [3, 5, 11], 'central_character': '165.164', 'coefficient_field': 'CDF', 'conductor': 165, 'conductor_radical': 165, 'conjugate': '1049406270864898260693345248514', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.3175316333511269, 'bad_primes': [3, 5, 11], 'central_character': '165.164', 'conductor': 165, 'conductor_radical': 165, 'degree': 2, 'index': 19, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/165/2/d/c/164/1'], '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': '2-165-165.164-c1-0-19', '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': '2-165-165.164-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.1478378079463696, 'root_angle': -0.38779871125953147, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '4.12966275283505634739467567166', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '5234969467371521338271441740409', 'Lhash_array': ['5234969467371521338271441740409'], 'label': '2-165-165.164-c1-0-19', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/165/2/d/c/164/1'}