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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, 0, 0, 0, 0, 4, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 9, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 12, 0, 0, 0, 8, 0, 0, 0, 0, 0, 16, 0, 16, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0], 'euler11': [1, -4, 22, -44, 121], 'euler13': [1, 0, 14, 0, 169], 'euler17': [1, 0, 14, 0, 289], 'euler19': [1, 0, -2, 0, 361], 'euler2': [1, 0, 0, 0, 0], 'euler23': [1, 8, 46, 184, 529], 'euler29': [1, 4, 46, 116, 841], 'euler3': [1, 0, -2, 0, 9], 'euler31': [1, 0, -18, 0, 961], 'euler37': [1, 4, 62, 148, 1369], 'euler41': [1, 0, 14, 0, 1681], 'euler43': [1, -4, 54, -172, 1849], 'euler47': [1, 0, -50, 0, 2209], 'euler5': [1, 0, -2, 0, 25], 'euler53': [1, -12, 126, -636, 2809], 'euler59': [1, 0, 46, 0, 3481], 'euler61': [1, 0, -82, 0, 3721], 'euler67': [1, -12, 166, -804, 4489], 'euler7': [1, -4, 7, 0, 0], 'euler71': [1, -8, 94, -568, 5041], 'euler73': [1, 0, 94, 0, 5329], 'euler79': [1, -16, 206, -1264, 6241], 'euler83': [1, 0, 94, 0, 6889], 'euler89': [1, 0, -66, 0, 7921], 'euler97': [1, 0, -82, 0, 9409], 'euler_factors': [[1, 0, 0, 0, 0], [1, 0, -2, 0, 9], [1, 0, -2, 0, 25], [1, -4, 7, 0, 0], [1, -4, 22, -44, 121], [1, 0, 14, 0, 169], [1, 0, 14, 0, 289], [1, 0, -2, 0, 361], [1, 8, 46, 184, 529], [1, 4, 46, 116, 841], [1, 0, -18, 0, 961], [1, 4, 62, 148, 1369], [1, 0, 14, 0, 1681], [1, -4, 54, -172, 1849], [1, 0, -50, 0, 2209], [1, -12, 126, -636, 2809], [1, 0, 46, 0, 3481], [1, 0, -82, 0, 3721], [1, -12, 166, -804, 4489], [1, -8, 94, -568, 5041], [1, 0, 94, 0, 5329], [1, -16, 206, -1264, 6241], [1, 0, 94, 0, 6889], [1, 0, -66, 0, 7921], [1, 0, -82, 0, 9409]], 'id': 9446516, 'index': 14, 'instance_types': ['ECNF', 'BMF', 'ECNF', 'BMF'], 'instance_urls': ['EllipticCurve/2.0.7.1/4096.7/h', 'ModularForm/GL2/ImaginaryQuadratic/2.0.7.1/4096.7/i', 'EllipticCurve/2.0.7.1/4096.7/i', 'ModularForm/GL2/ImaginaryQuadratic/2.0.7.1/4096.7/h'], 'is_instance_Artin': False, 'is_instance_BMF': True, 'is_instance_CMF': False, 'is_instance_DIR': False, 'is_instance_ECNF': True, '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-c1e2-0-14', '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': '4-448e2-1.1-c1e2-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 1.891374635167069, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 65121696073898362, 'z1': {'__RealLiteral__': 0, 'data': '1.08973477197510465215355246143217', 'prec': 113}}