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{'algebraic': True, 'analytic_conductor': 69.01622508595531, 'bad_primes': [2, 3, 5], 'central_character': '3.2', 'conductor': 300, 'conductor_radical': 30, 'degree': 2, 'dirichlet_coefficients': [1, 0, 27, 0, 0, 0, 397, 0, 729, 0, 0, 0, 4033, 0, 0, 0, 0, 0, -2269, 0, 10719, 0, 0, 0, 0, 0, 19683, 0, 0, 0, -59221, 0, 0, 0, 0, 0, 89206, 0, 108891, 0, 0, 0, -42587, 0, 0, 0, 0, 0, 39960, 0, 0, 0, 0, 0, 0, 0, -61263, 0, 0, 0, 357839, 0, 289413, 0, 0, 0, 585397, 0, 0, 0, 0, 0, -638066, 0, 0, 0, 0, 0, -204622, 0, 531441, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1601101, 0, -1598967, 0, 0, 0, -1608263, 0, 0, 0], 'euler11': [1, 0, -1771561], 'euler13': [1, -4033, 4826809], 'euler17': [1, 0, -24137569], 'euler19': [1, 2269, 47045881], 'euler2': [1, 0, 0], 'euler23': [1, 0, -148035889], 'euler29': [1, 0, -594823321], 'euler3': [1, -27, 0], 'euler31': [1, 59221, 887503681], 'euler37': [1, -89206, 2565726409], 'euler41': [1, 0, -4750104241], 'euler43': [1, 42587, 6321363049], 'euler47': [1, 0, -10779215329], 'euler5': [1, 0, 0], 'euler53': [1, 0, -22164361129], 'euler59': [1, 0, -42180533641], 'euler61': [1, -357839, 51520374361], 'euler67': [1, -585397, 90458382169], 'euler7': [1, -397, 117649], 'euler71': [1, 0, -128100283921], 'euler73': [1, 638066, 151334226289], 'euler79': [1, 204622, 243087455521], 'euler83': [1, 0, -326940373369], 'euler89': [1, 0, -496981290961], 'euler97': [1, 1608263, 832972004929], 'euler_factors': [[1, 0, 0], [1, -27, 0], [1, 0, 0], [1, -397, 117649], [1, 0, -1771561], [1, -4033, 4826809], [1, 0, -24137569], [1, 2269, 47045881], [1, 0, -148035889], [1, 0, -594823321], [1, 59221, 887503681], [1, -89206, 2565726409], [1, 0, -4750104241], [1, 42587, 6321363049], [1, 0, -10779215329], [1, 0, -22164361129], [1, 0, -42180533641], [1, -357839, 51520374361], [1, -585397, 90458382169], [1, 0, -128100283921], [1, 638066, 151334226289], [1, 204622, 243087455521], [1, 0, -326940373369], [1, 0, -496981290961], [1, 1608263, 832972004929]], 'id': 23255766, 'index': 26, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/300/7/g/d', 'ModularForm/GL2/Q/holomorphic/300/7/g/d/101/1'], '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': '2-300-3.2-c6-0-26', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-300-3.2-c6-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 8.307600440918865, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c6-0', 'trace_hash': 179724127718397737, 'z1': {'__RealLiteral__': 0, 'data': '1.14080228471298342731741822163', 'prec': 103}}