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{'algebraic': True, 'analytic_conductor': 12.797061056309051, 'bad_primes': [2, 7], 'central_character': '1.1', 'conductor': 200704, 'conductor_radical': 14, 'degree': 4, 'dirichlet_coefficients': [1, 0, -1, 0, -3, 0, -4, 0, 3, 0, -3, 0, 0, 0, 3, 0, -9, 0, -7, 0, 4, 0, -15, 0, 1, 0, -8, 0, 12, 0, 5, 0, 3, 0, 12, 0, -5, 0, 0, 0, 0, 0, 0, 0, -9, 0, 3, 0, 9, 0, 9, 0, -9, 0, 9, 0, 7, 0, -9, 0, -15, 0, -12, 0, 0, 0, 9, 0, 15, 0, 0, 0, 3, 0, -1, 0, 12, 0, 9, 0, 8, 0, 24, 0, 27, 0, -12, 0, -21, 0, 0, 0, -5, 0, 21, 0, 0, 0, -9, 0], 'euler11': [1, 3, 14, 33, 121], 'euler13': [1, 0, -26, 0, 169], 'euler17': [1, 9, 44, 153, 289], 'euler19': [1, 7, 30, 133, 361], 'euler2': [1, 0, 0, 0, 0], 'euler23': [1, 15, 98, 345, 529], 'euler29': [1, -12, 94, -348, 841], 'euler3': [1, 1, -2, 3, 9], 'euler31': [1, -5, -6, -155, 961], 'euler37': [1, 5, -12, 185, 1369], 'euler41': [1, 0, -34, 0, 1681], 'euler43': [1, 0, -74, 0, 1849], 'euler47': [1, -3, -38, -141, 2209], 'euler5': [1, 3, 8, 15, 25], 'euler53': [1, 9, 28, 477, 2809], 'euler59': [1, 9, 22, 531, 3481], 'euler61': [1, 15, 136, 915, 3721], 'euler67': [1, -9, 94, -603, 4489], 'euler7': [1, 4, 7, 0, 0], 'euler71': [1, 0, -130, 0, 5041], 'euler73': [1, -3, 76, -219, 5329], 'euler79': [1, -9, 106, -711, 6241], 'euler83': [1, -24, 310, -1992, 6889], 'euler89': [1, 21, 236, 1869, 7921], 'euler97': [1, 0, -146, 0, 9409], 'euler_factors': [[1, 0, 0, 0, 0], [1, 1, -2, 3, 9], [1, 3, 8, 15, 25], [1, 4, 7, 0, 0], [1, 3, 14, 33, 121], [1, 0, -26, 0, 169], [1, 9, 44, 153, 289], [1, 7, 30, 133, 361], [1, 15, 98, 345, 529], [1, -12, 94, -348, 841], [1, -5, -6, -155, 961], [1, 5, -12, 185, 1369], [1, 0, -34, 0, 1681], [1, 0, -74, 0, 1849], [1, -3, -38, -141, 2209], [1, 9, 28, 477, 2809], [1, 9, 22, 531, 3481], [1, 15, 136, 915, 3721], [1, -9, 94, -603, 4489], [1, 0, -130, 0, 5041], [1, -3, 76, -219, 5329], [1, -9, 106, -711, 6241], [1, -24, 310, -1992, 6889], [1, 21, 236, 1869, 7921], [1, 0, -146, 0, 9409]], 'id': 10463591, 'index': 43, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/448/2/p/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': '4-448e2-1.1-c1e2-0-43', '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': '4-448e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.891374635167069, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 883697407678856278, 'z1': {'__RealLiteral__': 0, 'data': '2.03280589619130762961777842844', 'prec': 103}}