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{'algebraic': True, 'analytic_conductor': 141.60458401377755, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 2400, 'conductor_radical': 30, 'degree': 2, 'dirichlet_coefficients': [1, 0, -3, 0, 0, 0, -4, 0, 9, 0, -40, 0, 90, 0, 0, 0, 70, 0, -40, 0, 12, 0, 108, 0, 0, 0, -27, 0, 166, 0, 40, 0, 120, 0, 0, 0, 130, 0, -270, 0, -310, 0, -268, 0, 0, 0, -556, 0, -327, 0, -210, 0, 370, 0, 0, 0, 120, 0, -240, 0, -130, 0, -36, 0, 0, 0, 876, 0, -324, 0, 840, 0, -250, 0, 0, 0, 160, 0, 880, 0, 81, 0, -188, 0, 0, 0, -498, 0, -726, 0, -360, 0, -120, 0, 0, 0, 1550, 0, -360, 0], 'euler11': [1, 40, 1331], 'euler13': [1, -90, 2197], 'euler17': [1, -70, 4913], 'euler19': [1, 40, 6859], 'euler2': [1, 0, 0], 'euler23': [1, -108, 12167], 'euler29': [1, -166, 24389], 'euler3': [1, 3, 0], 'euler31': [1, -40, 29791], 'euler37': [1, -130, 50653], 'euler41': [1, 310, 68921], 'euler43': [1, 268, 79507], 'euler47': [1, 556, 103823], 'euler5': [1, 0, 0], 'euler53': [1, -370, 148877], 'euler59': [1, 240, 205379], 'euler61': [1, 130, 226981], 'euler67': [1, -876, 300763], 'euler7': [1, 4, 343], 'euler71': [1, -840, 357911], 'euler73': [1, 250, 389017], 'euler79': [1, -880, 493039], 'euler83': [1, 188, 571787], 'euler89': [1, 726, 704969], 'euler97': [1, -1550, 912673], 'euler_factors': [[1, 0, 0], [1, 3, 0], [1, 0, 0], [1, 4, 343], [1, 40, 1331], [1, -90, 2197], [1, -70, 4913], [1, 40, 6859], [1, -108, 12167], [1, -166, 24389], [1, -40, 29791], [1, -130, 50653], [1, 310, 68921], [1, 268, 79507], [1, 556, 103823], [1, -370, 148877], [1, 240, 205379], [1, 130, 226981], [1, -876, 300763], [1, -840, 357911], [1, 250, 389017], [1, -880, 493039], [1, 188, 571787], [1, 726, 704969], [1, -1550, 912673]], 'id': 20929030, 'index': 27, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2400/4/a/d/1/1', 'ModularForm/GL2/Q/holomorphic/2400/4/a/d'], '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': '2-2400-1.1-c3-0-27', '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': '2-2400-1.1-c3-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 11.89977243537781, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3-0', 'trace_hash': 1245032432986780281, 'z1': {'__RealLiteral__': 0, 'data': '0.63776740385633488303951328186', 'prec': 103}}