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{'algebraic': True, 'analytic_conductor': 1154.987033109983, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 331776, 'conductor_radical': 6, 'degree': 4, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 250, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1044, 0, 0, 0, 0, 0, 0, 0, -686, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -860, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2052, 0, 0, 0, 0, 0, 0, 0, -3820, 0, 0, 0], 'euler11': [1, 0, -2338, 0, 1771561], 'euler13': [1, 0, -4394, 0, 4826809], 'euler17': [1, 180, 17926, 884340, 24137569], 'euler19': [1, 0, -2482, 0, 47045881], 'euler2': [1, 0, 0, 0, 0], 'euler23': [1, 0, 24334, 0, 148035889], 'euler29': [1, 0, -48778, 0, 594823321], 'euler3': [1, 0, 0, 0, 0], 'euler31': [1, 0, 59582, 0, 887503681], 'euler37': [1, 0, -101306, 0, 2565726409], 'euler41': [1, 1044, 410326, 71953524, 4750104241], 'euler43': [1, 0, -74914, 0, 6321363049], 'euler47': [1, 0, 207646, 0, 10779215329], 'euler5': [1, 0, -250, 0, 15625], 'euler53': [1, 0, -297754, 0, 22164361129], 'euler59': [1, 0, 304958, 0, 42180533641], 'euler61': [1, 0, -453962, 0, 51520374361], 'euler67': [1, 0, -596626, 0, 90458382169], 'euler7': [1, 0, 686, 0, 117649], 'euler71': [1, 0, 715822, 0, 128100283921], 'euler73': [1, 860, 962934, 334554620, 151334226289], 'euler79': [1, 0, 986078, 0, 243087455521], 'euler83': [1, 0, 678926, 0, 326940373369], 'euler89': [1, 2052, 2462614, 1446596388, 496981290961], 'euler97': [1, 3820, 5473446, 3486410860, 832972004929], 'euler_factors': [[1, 0, 0, 0, 0], [1, 0, 0, 0, 0], [1, 0, -250, 0, 15625], [1, 0, 686, 0, 117649], [1, 0, -2338, 0, 1771561], [1, 0, -4394, 0, 4826809], [1, 180, 17926, 884340, 24137569], [1, 0, -2482, 0, 47045881], [1, 0, 24334, 0, 148035889], [1, 0, -48778, 0, 594823321], [1, 0, 59582, 0, 887503681], [1, 0, -101306, 0, 2565726409], [1, 1044, 410326, 71953524, 4750104241], [1, 0, -74914, 0, 6321363049], [1, 0, 207646, 0, 10779215329], [1, 0, -297754, 0, 22164361129], [1, 0, 304958, 0, 42180533641], [1, 0, -453962, 0, 51520374361], [1, 0, -596626, 0, 90458382169], [1, 0, 715822, 0, 128100283921], [1, 860, 962934, 334554620, 151334226289], [1, 0, 986078, 0, 243087455521], [1, 0, 678926, 0, 326940373369], [1, 2052, 2462614, 1446596388, 496981290961], [1, 3820, 5473446, 3486410860, 832972004929]], 'id': 23253580, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/576/4/d/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': '4-24e4-1.1-c3e2-0-0', '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': '4-24e4-1.1-c3e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.829674104382389, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e2-0', 'trace_hash': 34272721949703067, 'z1': {'__RealLiteral__': 0, 'data': '0.20003468293914237381110268328', 'prec': 103}}