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{'algebraic': True, 'analytic_conductor': 0.3269763172323563, 'bad_primes': [2, 3], 'central_character': '3.2', 'conductor': 12, 'conductor_radical': 6, 'degree': 2, 'dirichlet_coefficients': [1, 0, -3, 0, 0, 0, 2, 0, 9, 0, 0, 0, -22, 0, 0, 0, 0, 0, 26, 0, -6, 0, 0, 0, 25, 0, -27, 0, 0, 0, -46, 0, 0, 0, 0, 0, 26, 0, 66, 0, 0, 0, -22, 0, 0, 0, 0, 0, -45, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, 74, 0, 18, 0, 0, 0, 122, 0, 0, 0, 0, 0, -46, 0, -75, 0, 0, 0, -142, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 138, 0, 0, 0, 2, 0, 0, 0], 'euler11': [1, 0, -121], 'euler13': [1, 22, 169], 'euler17': [1, 0, -289], 'euler19': [1, -26, 361], 'euler2': [1, 0, 0], 'euler23': [1, 0, -529], 'euler29': [1, 0, -841], 'euler3': [1, 3, 0], 'euler31': [1, 46, 961], 'euler37': [1, -26, 1369], 'euler41': [1, 0, -1681], 'euler43': [1, 22, 1849], 'euler47': [1, 0, -2209], 'euler5': [1, 0, -25], 'euler53': [1, 0, -2809], 'euler59': [1, 0, -3481], 'euler61': [1, -74, 3721], 'euler67': [1, -122, 4489], 'euler7': [1, -2, 49], 'euler71': [1, 0, -5041], 'euler73': [1, 46, 5329], 'euler79': [1, 142, 6241], 'euler83': [1, 0, -6889], 'euler89': [1, 0, -7921], 'euler97': [1, -2, 9409], 'euler_factors': [[1, 0, 0], [1, 3, 0], [1, 0, -25], [1, -2, 49], [1, 0, -121], [1, 22, 169], [1, 0, -289], [1, -26, 361], [1, 0, -529], [1, 0, -841], [1, 46, 961], [1, -26, 1369], [1, 0, -1681], [1, 22, 1849], [1, 0, -2209], [1, 0, -2809], [1, 0, -3481], [1, -74, 3721], [1, -122, 4489], [1, 0, -5041], [1, 46, 5329], [1, 142, 6241], [1, 0, -6889], [1, 0, -7921], [1, -2, 9409]], 'id': 9589555, 'index': 0, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/12/3/c/a/5/1', 'ModularForm/GL2/Q/holomorphic/12/3/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': '2-12-3.2-c2-0-0', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-12-3.2-c2-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 0.5718184303013993, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c2-0', 'trace_hash': 905460447897325619, 'z1': {'__RealLiteral__': 0, 'data': '5.13182975921542995889351136788', 'prec': 103}}