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{'algebraic': True, 'analytic_conductor': 1.2190440167389425, 'bad_primes': [3, 6373], 'central_character': '1.1', 'conductor': 19119, 'conductor_radical': 19119, 'degree': 4, 'dirichlet_coefficients': [1, -1, 0, 1, -2, 0, 2, -3, -2, 2, -3, 0, 0, -2, 0, 1, -8, 2, 0, -2, 0, 3, 5, 0, -2, 0, 3, 2, -1, 0, -5, 1, 0, 8, -4, -2, -3, 0, 0, 6, -7, 0, 0, -3, 4, -5, -1, 0, 2, 2, 0, 0, -4, -3, 6, -6, 0, 1, 7, 0, 8, 5, -4, 1, 0, 0, -12, -8, 0, 4, 0, 6, -4, 3, 0, 0, -6, 0, 12, -2, 4, 7, 5, 0, 16, 0, 0, 9, -6, -4, 0, 5, 0, 1, 0, 0, 4, -2, 6, -2], 'euler11': [1, 3, 2, 33, 121], 'euler13': [1, 0, 6, 0, 169], 'euler17': [1, 8, 38, 136, 289], 'euler19': [1, 0, 10, 0, 361], 'euler2': [1, 1, 0, 2, 4], 'euler23': [1, -5, 46, -115, 529], 'euler29': [1, 1, 48, 29, 841], 'euler3': [1, 0, 2, -3, 0], 'euler31': [1, 5, 46, 155, 961], 'euler37': [1, 3, 4, 111, 1369], 'euler41': [1, 7, 72, 287, 1681], 'euler43': [1, 0, -18, 0, 1849], 'euler47': [1, 1, -18, 47, 2209], 'euler5': [1, 2, 6, 10, 25], 'euler53': [1, 4, 38, 212, 2809], 'euler59': [1, -7, 34, -413, 3481], 'euler61': [1, -8, 78, -488, 3721], 'euler67': [1, 12, 70, 804, 4489], 'euler7': [1, -2, 2, -14, 49], 'euler71': [1, 0, -50, 0, 5041], 'euler73': [1, 4, 30, 292, 5329], 'euler79': [1, -12, 122, -948, 6241], 'euler83': [1, -5, -6, -415, 6889], 'euler89': [1, 6, 118, 534, 7921], 'euler97': [1, -4, 46, -388, 9409], 'euler_factors': [[1, 1, 0, 2, 4], [1, 0, 2, -3, 0], [1, 2, 6, 10, 25], [1, -2, 2, -14, 49], [1, 3, 2, 33, 121], [1, 0, 6, 0, 169], [1, 8, 38, 136, 289], [1, 0, 10, 0, 361], [1, -5, 46, -115, 529], [1, 1, 48, 29, 841], [1, 5, 46, 155, 961], [1, 3, 4, 111, 1369], [1, 7, 72, 287, 1681], [1, 0, -18, 0, 1849], [1, 1, -18, 47, 2209], [1, 4, 38, 212, 2809], [1, -7, 34, -413, 3481], [1, -8, 78, -488, 3721], [1, 12, 70, 804, 4489], [1, 0, -50, 0, 5041], [1, 4, 30, 292, 5329], [1, -12, 122, -948, 6241], [1, -5, -6, -415, 6889], [1, 6, 118, 534, 7921], [1, -4, 46, -388, 9409]], 'id': 9404538, 'index': 0, 'instance_types': ['G2Q'], 'instance_urls': ['Genus2Curve/Q/19119/a'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': False, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': True, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '4-19119-1.1-c1e2-0-0', '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': '4-19119-1.1-c1e2-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 1.0507631815119811, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 1167220996037229187, 'z1': {'__RealLiteral__': 0, 'data': '2.1219013535', 'prec': 40}}