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{'algebraic': True, 'analytic_conductor': 26.43285568257181, 'bad_primes': [2, 7], 'central_character': '1.1', 'conductor': 448, 'conductor_radical': 14, 'degree': 2, 'dirichlet_coefficients': [1, 0, 10, 0, 8, 0, -7, 0, 73, 0, 40, 0, 12, 0, 80, 0, -58, 0, -26, 0, -70, 0, -64, 0, -61, 0, 460, 0, 62, 0, 252, 0, 400, 0, -56, 0, -26, 0, 120, 0, 6, 0, -416, 0, 584, 0, -396, 0, 49, 0, -580, 0, 450, 0, 320, 0, -260, 0, -274, 0, 576, 0, -511, 0, 96, 0, 476, 0, -640, 0, -448, 0, -158, 0, -610, 0, -280, 0, -936, 0, 2629, 0, -530, 0, -464, 0, 620, 0, -390, 0, -84, 0, 2520, 0, -208, 0, 214, 0, 2920, 0], 'euler11': [1, -40, 1331], 'euler13': [1, -12, 2197], 'euler17': [1, 58, 4913], 'euler19': [1, 26, 6859], 'euler2': [1, 0, 0], 'euler23': [1, 64, 12167], 'euler29': [1, -62, 24389], 'euler3': [1, -10, 27], 'euler31': [1, -252, 29791], 'euler37': [1, 26, 50653], 'euler41': [1, -6, 68921], 'euler43': [1, 416, 79507], 'euler47': [1, 396, 103823], 'euler5': [1, -8, 125], 'euler53': [1, -450, 148877], 'euler59': [1, 274, 205379], 'euler61': [1, -576, 226981], 'euler67': [1, -476, 300763], 'euler7': [1, 7, 0], 'euler71': [1, 448, 357911], 'euler73': [1, 158, 389017], 'euler79': [1, 936, 493039], 'euler83': [1, 530, 571787], 'euler89': [1, 390, 704969], 'euler97': [1, -214, 912673], 'euler_factors': [[1, 0, 0], [1, -10, 27], [1, -8, 125], [1, 7, 0], [1, -40, 1331], [1, -12, 2197], [1, 58, 4913], [1, 26, 6859], [1, 64, 12167], [1, -62, 24389], [1, -252, 29791], [1, 26, 50653], [1, -6, 68921], [1, 416, 79507], [1, 396, 103823], [1, -450, 148877], [1, 274, 205379], [1, -576, 226981], [1, -476, 300763], [1, 448, 357911], [1, 158, 389017], [1, 936, 493039], [1, 530, 571787], [1, 390, 704969], [1, -214, 912673]], 'id': 20364662, 'index': 22, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/448/4/a/p/1/1', 'ModularForm/GL2/Q/holomorphic/448/4/a/p'], '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': '2-448-1.1-c3-0-22', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-448-1.1-c3-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 5.141289301583, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3-0', 'trace_hash': 862904988741398296, 'z1': {'__RealLiteral__': 0, 'data': '1.51145227866669935189979176355', 'prec': 103}}