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{'algebraic': True, 'analytic_conductor': 628.7963350437966, 'bad_primes': [5, 17], 'central_character': '1.1', 'conductor': 180625, 'conductor_radical': 85, 'degree': 4, 'dirichlet_coefficients': [1, 0, -16, 15, 0, 0, -28, 0, 138, 0, 0, -240, 0, 0, 0, 161, 136, 0, -160, 0, 448, 0, -236, 0, 0, 0, -752, -420, 0, 0, 0, 0, 0, 0, 0, 2070, -268, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2576, -98, 0, -2176, 0, 0, 0, 0, 0, 2560, 0, 360, 0, 0, 0, -3864, 1455, 0, 0, 0, 2040, 3776, 0, 0, 0, -1656, 0, 0, -2400, 0, 0, 0, 0, 1931, 0, 0, 6720, 0, 0, 0, 0, -2980, 0, 0, -3540, 0, 0, 0, 0, 2752, 0, 0, 0], 'euler11': [1, 0, -2262, 0, 1771561], 'euler13': [1, 0, -1030, 0, 4826809], 'euler17': [1, -136, 4913, 0, 0], 'euler19': [1, 160, 20118, 1097440, 47045881], 'euler2': [1, 0, -15, 0, 64], 'euler23': [1, 236, 38258, 2871412, 148035889], 'euler29': [1, 0, -32902, 0, 594823321], 'euler3': [1, 16, 118, 432, 729], 'euler31': [1, 0, -54682, 0, 887503681], 'euler37': [1, 268, 119262, 13575004, 2565726409], 'euler41': [1, 0, -127842, 0, 4750104241], 'euler43': [1, 0, -85030, 0, 6321363049], 'euler47': [1, 0, 7650, 0, 10779215329], 'euler5': [1, 0, 0, 0, 0], 'euler53': [1, 0, 114410, 0, 22164361129], 'euler59': [1, -360, 443158, -73936440, 42180533641], 'euler61': [1, 0, -441862, 0, 51520374361], 'euler67': [1, 0, 252250, 0, 90458382169], 'euler7': [1, 28, 882, 9604, 117649], 'euler71': [1, 0, -707722, 0, 128100283921], 'euler73': [1, 1656, 1463618, 644212152, 151334226289], 'euler79': [1, 0, 793478, 0, 243087455521], 'euler83': [1, 0, -838870, 0, 326940373369], 'euler89': [1, 2980, 3630038, 2100807620, 496981290961], 'euler97': [1, -2752, 3718722, -2511676096, 832972004929], 'euler_factors': [[1, 0, -15, 0, 64], [1, 16, 118, 432, 729], [1, 0, 0, 0, 0], [1, 28, 882, 9604, 117649], [1, 0, -2262, 0, 1771561], [1, 0, -1030, 0, 4826809], [1, -136, 4913, 0, 0], [1, 160, 20118, 1097440, 47045881], [1, 236, 38258, 2871412, 148035889], [1, 0, -32902, 0, 594823321], [1, 0, -54682, 0, 887503681], [1, 268, 119262, 13575004, 2565726409], [1, 0, -127842, 0, 4750104241], [1, 0, -85030, 0, 6321363049], [1, 0, 7650, 0, 10779215329], [1, 0, 114410, 0, 22164361129], [1, -360, 443158, -73936440, 42180533641], [1, 0, -441862, 0, 51520374361], [1, 0, 252250, 0, 90458382169], [1, 0, -707722, 0, 128100283921], [1, 1656, 1463618, 644212152, 151334226289], [1, 0, 793478, 0, 243087455521], [1, 0, -838870, 0, 326940373369], [1, 2980, 3630038, 2100807620, 496981290961], [1, -2752, 3718722, -2511676096, 832972004929]], 'id': 24085553, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/425/4/c/a'], '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': '4-425e2-1.1-c3e2-0-1', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3, 3], 'order_of_vanishing': 0, 'prelabel': '4-425e2-1.1-c3e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.00757543652013, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e2-0', 'trace_hash': 2126613813151869108, 'z1': {'__RealLiteral__': 0, 'data': '0.15722913712257133124419387649', 'prec': 103}}