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{'algebraic': True, 'analytic_conductor': 15528.159000700882, 'bad_primes': [2, 3, 11], 'central_character': '1.1', 'conductor': 4460544, 'conductor_radical': 66, 'degree': 4, 'dirichlet_coefficients': [1, 0, 6, 0, -10, 0, 2, 0, 27, 0, -22, 0, -14, 0, -60, 0, -80, 0, -60, 0, 12, 0, 202, 0, -78, 0, 108, 0, 336, 0, -128, 0, -132, 0, -20, 0, -188, 0, -84, 0, -132, 0, 480, 0, -270, 0, 390, 0, 190, 0, -480, 0, -610, 0, 220, 0, -360, 0, 372, 0, -1050, 0, 54, 0, 140, 0, 408, 0, 1212, 0, -942, 0, 740, 0, -468, 0, -44, 0, 1646, 0, 405, 0, -352, 0, 800, 0, 2016, 0, 2036, 0, -28, 0, -768, 0, 600, 0, 336, 0, -594, 0], 'euler11': [1, 22, 121, 0, 0], 'euler13': [1, 14, -310, 30758, 4826809], 'euler17': [1, 80, 11038, 393040, 24137569], 'euler19': [1, 60, 4918, 411540, 47045881], 'euler2': [1, 0, 0, 0, 0], 'euler23': [1, -202, 32110, -2457734, 148035889], 'euler29': [1, -336, 73510, -8194704, 594823321], 'euler3': [1, -6, 9, 0, 0], 'euler31': [1, 128, 38846, 3813248, 887503681], 'euler37': [1, 188, 10814, 9522764, 2565726409], 'euler41': [1, 132, 86326, 9097572, 4750104241], 'euler43': [1, -480, 210406, -38163360, 6321363049], 'euler47': [1, -390, 244798, -40490970, 10779215329], 'euler5': [1, 10, 178, 1250, 15625], 'euler53': [1, 610, 271954, 90814970, 22164361129], 'euler59': [1, -372, 413926, -76400988, 42180533641], 'euler61': [1, 1050, 724834, 238330050, 51520374361], 'euler67': [1, -408, 618310, -122711304, 90458382169], 'euler7': [1, -2, -186, -686, 117649], 'euler71': [1, 942, 915838, 337152162, 128100283921], 'euler73': [1, -740, 517622, -287872580, 151334226289], 'euler79': [1, -1646, 1592694, -811542194, 243087455521], 'euler83': [1, 352, 912262, 201269024, 326940373369], 'euler89': [1, -2036, 2421430, -1435316884, 496981290961], 'euler97': [1, -336, 1378270, -306658128, 832972004929], 'euler_factors': [[1, 0, 0, 0, 0], [1, -6, 9, 0, 0], [1, 10, 178, 1250, 15625], [1, -2, -186, -686, 117649], [1, 22, 121, 0, 0], [1, 14, -310, 30758, 4826809], [1, 80, 11038, 393040, 24137569], [1, 60, 4918, 411540, 47045881], [1, -202, 32110, -2457734, 148035889], [1, -336, 73510, -8194704, 594823321], [1, 128, 38846, 3813248, 887503681], [1, 188, 10814, 9522764, 2565726409], [1, 132, 86326, 9097572, 4750104241], [1, -480, 210406, -38163360, 6321363049], [1, -390, 244798, -40490970, 10779215329], [1, 610, 271954, 90814970, 22164361129], [1, -372, 413926, -76400988, 42180533641], [1, 1050, 724834, 238330050, 51520374361], [1, -408, 618310, -122711304, 90458382169], [1, 942, 915838, 337152162, 128100283921], [1, -740, 517622, -287872580, 151334226289], [1, -1646, 1592694, -811542194, 243087455521], [1, 352, 912262, 201269024, 326940373369], [1, -2036, 2421430, -1435316884, 496981290961], [1, -336, 1378270, -306658128, 832972004929]], 'id': 20927612, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2112/4/a/bi'], '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': '4-2112e2-1.1-c3e2-0-4', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3, 3], 'order_of_vanishing': 0, 'prelabel': '4-2112e2-1.1-c3e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 11.162976033841703, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e2-0', 'trace_hash': 1451175739960872255, 'z1': {'__RealLiteral__': 0, 'data': '0.58420357474879079518219256285', 'prec': 103}}