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{'algebraic': True, 'analytic_conductor': 8.728862696352385, 'bad_primes': [2, 5, 37], 'central_character': '1.1', 'conductor': 136900, 'conductor_radical': 370, 'degree': 4, 'dirichlet_coefficients': [1, 2, 0, 3, -2, 0, -4, 4, 0, -4, 0, 0, 8, -8, 0, 5, 0, 0, -4, -6, 0, 0, 8, 0, -1, 16, 0, -12, 14, 0, -8, 6, 0, 0, 8, 0, -2, -8, 0, -8, 0, 0, 8, 0, 0, 16, -4, 0, 8, -2, 0, 24, -2, 0, 0, -16, 0, 28, -4, 0, 2, -16, 0, 7, -16, 0, 0, 0, 0, 16, 24, 0, 10, -4, 0, -12, 0, 0, -24, -10, -9, 0, 8, 0, 0, 16, 0, 0, 14, 0, -32, 24, 0, -8, 8, 0, 0, 16, 0, -3], 'euler11': [1, 0, -22, 0, 121], 'euler13': [1, -8, 42, -104, 169], 'euler17': [1, 0, -30, 0, 289], 'euler19': [1, 4, 8, 76, 361], 'euler2': [1, -2, 1, 0, 0], 'euler23': [1, -8, 62, -184, 529], 'euler29': [1, -14, 98, -406, 841], 'euler3': [1, 0, 0, 0, 9], 'euler31': [1, 8, 32, 248, 961], 'euler37': [1, 2, 37, 0, 0], 'euler41': [1, 0, -82, 0, 1681], 'euler43': [1, -8, 102, -344, 1849], 'euler47': [1, 4, 8, 188, 2209], 'euler5': [1, 2, 5, 0, 0], 'euler53': [1, 2, 2, 106, 2809], 'euler59': [1, 4, 8, 236, 3481], 'euler61': [1, -2, 2, -122, 3721], 'euler67': [1, 0, 0, 0, 4489], 'euler7': [1, 4, 8, 28, 49], 'euler71': [1, -24, 286, -1704, 5041], 'euler73': [1, -10, 50, -730, 5329], 'euler79': [1, 24, 288, 1896, 6241], 'euler83': [1, -8, 32, -664, 6889], 'euler89': [1, -14, 98, -1246, 7921], 'euler97': [1, 0, -50, 0, 9409], 'euler_factors': [[1, -2, 1, 0, 0], [1, 0, 0, 0, 9], [1, 2, 5, 0, 0], [1, 4, 8, 28, 49], [1, 0, -22, 0, 121], [1, -8, 42, -104, 169], [1, 0, -30, 0, 289], [1, 4, 8, 76, 361], [1, -8, 62, -184, 529], [1, -14, 98, -406, 841], [1, 8, 32, 248, 961], [1, 2, 37, 0, 0], [1, 0, -82, 0, 1681], [1, -8, 102, -344, 1849], [1, 4, 8, 188, 2209], [1, 2, 2, 106, 2809], [1, 4, 8, 236, 3481], [1, -2, 2, -122, 3721], [1, 0, 0, 0, 4489], [1, -24, 286, -1704, 5041], [1, -10, 50, -730, 5329], [1, 24, 288, 1896, 6241], [1, -8, 32, -664, 6889], [1, -14, 98, -1246, 7921], [1, 0, -50, 0, 9409]], 'id': 10078924, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/370/2/h/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': '4-370e2-1.1-c1e2-0-6', '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': 0, 'prelabel': '4-370e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.7188556875978205, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 2060384053082210625, 'z1': {'__RealLiteral__': 0, 'data': '1.03199153426286123389538234781', 'prec': 103}}