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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, -8, 0, 14, 0, -7, 0, 37, 0, 28, 0, -18, 0, -112, 0, 74, 0, -80, 0, 56, 0, -112, 0, 71, 0, -80, 0, -190, 0, 72, 0, -224, 0, -98, 0, 346, 0, 144, 0, 162, 0, 412, 0, 518, 0, 24, 0, 49, 0, -592, 0, -318, 0, 392, 0, 640, 0, 200, 0, 198, 0, -259, 0, -252, 0, 716, 0, 896, 0, 392, 0, 538, 0, -568, 0, -196, 0, 240, 0, -359, 0, 1072, 0, 1036, 0, 1520, 0, 810, 0, 126, 0, -576, 0, -1120, 0, 1354, 0, 1036, 0], 'euler11': [1, -28, 1331], 'euler13': [1, 18, 2197], 'euler17': [1, -74, 4913], 'euler19': [1, 80, 6859], 'euler2': [1, 0, 0], 'euler23': [1, 112, 12167], 'euler29': [1, 190, 24389], 'euler3': [1, 8, 27], 'euler31': [1, -72, 29791], 'euler37': [1, -346, 50653], 'euler41': [1, -162, 68921], 'euler43': [1, -412, 79507], 'euler47': [1, -24, 103823], 'euler5': [1, -14, 125], 'euler53': [1, 318, 148877], 'euler59': [1, -200, 205379], 'euler61': [1, -198, 226981], 'euler67': [1, -716, 300763], 'euler7': [1, 7, 0], 'euler71': [1, -392, 357911], 'euler73': [1, -538, 389017], 'euler79': [1, -240, 493039], 'euler83': [1, -1072, 571787], 'euler89': [1, -810, 704969], 'euler97': [1, -1354, 912673], 'euler_factors': [[1, 0, 0], [1, 8, 27], [1, -14, 125], [1, 7, 0], [1, -28, 1331], [1, 18, 2197], [1, -74, 4913], [1, 80, 6859], [1, 112, 12167], [1, 190, 24389], [1, -72, 29791], [1, -346, 50653], [1, -162, 68921], [1, -412, 79507], [1, -24, 103823], [1, 318, 148877], [1, -200, 205379], [1, -198, 226981], [1, -716, 300763], [1, -392, 357911], [1, -538, 389017], [1, -240, 493039], [1, -1072, 571787], [1, -810, 704969], [1, -1354, 912673]], 'id': 20364644, 'index': 7, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/448/4/a/b/1/1', 'ModularForm/GL2/Q/holomorphic/448/4/a/b'], '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-c3-0-7', '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': 1063941688110010472, 'z1': {'__RealLiteral__': 0, 'data': '0.793020032249763518782586109287', 'prec': 107}}