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{'algebraic': True, 'analytic_conductor': 16.526816734072593, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 259200, 'conductor_radical': 30, 'degree': 4, 'dirichlet_coefficients': [1, 1, 0, 1, 0, 0, 0, 1, 0, 0, -12, 0, 0, 0, 0, 1, 12, 0, -8, 0, 0, -12, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 12, 0, 0, 0, -8, 0, 0, 0, 0, 16, -12, 0, 0, 0, 0, -10, 1, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 1, 0, 0, -8, 12, 0, 0, 0, 0, -20, 0, 0, -8, 0, 0, 0, 0, 0, 0, -24, 0, 0, 16, 0, -12, -24, 0, 0, 0, 0, 0, 0, 0, 4, -10, 0, 1], 'euler11': [1, 12, 58, 132, 121], 'euler13': [1, 0, 10, 0, 169], 'euler17': [1, -12, 70, -204, 289], 'euler19': [1, 8, 54, 152, 361], 'euler2': [1, -1, 0, 0, 0], 'euler23': [1, 0, 46, 0, 529], 'euler29': [1, 0, 22, 0, 841], 'euler3': [1, 0, 0, 0, 0], 'euler31': [1, 0, 46, 0, 961], 'euler37': [1, 0, 10, 0, 1369], 'euler41': [1, 0, 82, 0, 1681], 'euler43': [1, -16, 150, -688, 1849], 'euler47': [1, 0, 94, 0, 2209], 'euler5': [1, 0, -1, 0, 0], 'euler53': [1, 0, 70, 0, 2809], 'euler59': [1, 12, 154, 708, 3481], 'euler61': [1, 0, 118, 0, 3721], 'euler67': [1, 8, 150, 536, 4489], 'euler7': [1, 0, 10, 0, 49], 'euler71': [1, 0, -2, 0, 5041], 'euler73': [1, 20, 246, 1460, 5329], 'euler79': [1, 0, 142, 0, 6241], 'euler83': [1, 24, 310, 1992, 6889], 'euler89': [1, 24, 322, 2136, 7921], 'euler97': [1, -4, 198, -388, 9409], 'euler_factors': [[1, -1, 0, 0, 0], [1, 0, 0, 0, 0], [1, 0, -1, 0, 0], [1, 0, 10, 0, 49], [1, 12, 58, 132, 121], [1, 0, 10, 0, 169], [1, -12, 70, -204, 289], [1, 8, 54, 152, 361], [1, 0, 46, 0, 529], [1, 0, 22, 0, 841], [1, 0, 46, 0, 961], [1, 0, 10, 0, 1369], [1, 0, 82, 0, 1681], [1, -16, 150, -688, 1849], [1, 0, 94, 0, 2209], [1, 0, 70, 0, 2809], [1, 12, 154, 708, 3481], [1, 0, 118, 0, 3721], [1, 8, 150, 536, 4489], [1, 0, -2, 0, 5041], [1, 20, 246, 1460, 5329], [1, 0, 142, 0, 6241], [1, 24, 310, 1992, 6889], [1, 24, 322, 2136, 7921], [1, -4, 198, -388, 9409]], 'id': 9456855, 'index': 72, 'instance_types': ['BMF', 'ECNF'], 'instance_urls': ['ModularForm/GL2/ImaginaryQuadratic/2.0.8.1/4050.3/b', 'EllipticCurve/2.0.8.1/4050.3/b'], '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': '4-259200-1.1-c1e2-0-72', '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': 1, 'prelabel': '4-259200-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.0162635675872824, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 1999514009048112268, 'z1': {'__RealLiteral__': 0, 'data': '1.53717311332283821140901478062879', 'prec': 113}}