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{'algebraic': True, 'analytic_conductor': 452.5042421789076, 'bad_primes': [2, 3, 37], 'central_character': '1.1', 'conductor': 7096896, 'conductor_radical': 222, 'degree': 4, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 3, 0, 0, 0, -3, 0, 1, 0, 0, 0, -5, 0, -3, 0, 0, 0, -9, 0, -10, 0, 0, 0, -16, 0, -6, 0, 0, 0, 0, 0, 2, 0, 0, 0, -4, 0, 8, 0, 0, 0, 10, 0, 3, 0, 0, 0, -7, 0, 0, 0, 0, 0, 6, 0, 12, 0, 0, 0, 0, 0, -18, 0, 0, 0, -4, 0, -13, 0, 0, 0, -9, 0, -2, 0, 0, 0, 13, 0, 0, 0, 0, 0, -1, 0, 3, 0, 0, 0, 0, 0, -8, 0, 0, 0], 'euler11': [1, 3, 14, 33, 121], 'euler13': [1, -1, 16, -13, 169], 'euler17': [1, 5, 30, 85, 289], 'euler19': [1, 3, 30, 57, 361], 'euler2': [1, 0, 0, 0, 0], 'euler23': [1, 9, 56, 207, 529], 'euler29': [1, 16, 122, 464, 841], 'euler3': [1, 0, 0, 0, 0], 'euler31': [1, 6, 30, 186, 961], 'euler37': [1, -2, 1, 0, 0], 'euler41': [1, 4, 86, 164, 1681], 'euler43': [1, -8, 102, -344, 1849], 'euler47': [1, -10, 78, -470, 2209], 'euler5': [1, 0, 10, 0, 25], 'euler53': [1, 7, 108, 371, 2809], 'euler59': [1, -6, 86, -354, 3481], 'euler61': [1, -12, 158, -732, 3721], 'euler67': [1, 18, 174, 1206, 4489], 'euler7': [1, -3, 6, -21, 49], 'euler71': [1, 4, -18, 284, 5041], 'euler73': [1, 13, 96, 949, 5329], 'euler79': [1, 2, 118, 158, 6241], 'euler83': [1, -13, 198, -1079, 6889], 'euler89': [1, 1, -78, 89, 7921], 'euler97': [1, 8, 46, 776, 9409], 'euler_factors': [[1, 0, 0, 0, 0], [1, 0, 0, 0, 0], [1, 0, 10, 0, 25], [1, -3, 6, -21, 49], [1, 3, 14, 33, 121], [1, -1, 16, -13, 169], [1, 5, 30, 85, 289], [1, 3, 30, 57, 361], [1, 9, 56, 207, 529], [1, 16, 122, 464, 841], [1, 6, 30, 186, 961], [1, -2, 1, 0, 0], [1, 4, 86, 164, 1681], [1, -8, 102, -344, 1849], [1, -10, 78, -470, 2209], [1, 7, 108, 371, 2809], [1, -6, 86, -354, 3481], [1, -12, 158, -732, 3721], [1, 18, 174, 1206, 4489], [1, 4, -18, 284, 5041], [1, 13, 96, 949, 5329], [1, 2, 118, 158, 6241], [1, -13, 198, -1079, 6889], [1, 1, -78, 89, 7921], [1, 8, 46, 776, 9409]], 'id': 20184183, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2664/2/a/k'], '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': '4-2664e2-1.1-c1e2-0-11', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1], 'order_of_vanishing': 2, 'prelabel': '4-2664e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.612173793177043, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 1502812450130302159, 'z1': {'__RealLiteral__': 0, 'data': '1.57100493842474426750906515857', 'prec': 103}}