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'root_analytic_conductor': 2.188840816797061, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e4-0', 'trace_hash': 1005272418245781969, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.32440844774353554180759907523', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.891855074449704594312814741654', 'prec': 107}, 'z3': {'__RealLiteral__': 0, 'data': '1.91784268102805114717027825153', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 526.8820821018941, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 129600000000, 'conductor_radical': 30, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, -3, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, -44, 0, 726, 0, -5324, 0, 14641], 'euler13': [1, 0, -52, 0, 1014, 0, -8788, 0, 28561], 'euler17': [1, 0, 28, 0, 774, 0, 8092, 0, 83521], 'euler19': [1, 16, 172, 1168, 6070, 22192, 62092, 109744, 130321], 'euler2': [1, 0, -1, 0, 4, 0, 0, 0, 0], 'euler23': [1, 0, -68, 0, 2214, 0, -35972, 0, 279841], 'euler29': [1, 0, 116, 0, 5046, 0, 97556, 0, 707281], 'euler3': [1, 0, 6, 0, 9, 0, 0, 0, 0], 'euler31': [1, 0, -4, 0, 1926, 0, -3844, 0, 923521], 'euler37': [1, 0, -148, 0, 8214, 0, -202612, 0, 1874161], 'euler41': [1, 0, -164, 0, 10086, 0, -275684, 0, 2825761], 'euler43': [1, 0, 172, 0, 11094, 0, 318028, 0, 3418801], 'euler47': [1, 0, 28, 0, 4614, 0, 61852, 0, 4879681], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, 172, 0, 13014, 0, 483148, 0, 7890481], 'euler59': [1, 0, -236, 0, 20886, 0, -821516, 0, 12117361], 'euler61': [1, 0, 236, 0, 21366, 0, 878156, 0, 13845841], 'euler67': [1, 0, 268, 0, 26934, 0, 1203052, 0, 20151121], 'euler7': [1, 0, -28, 0, 294, 0, -1372, 0, 2401], 'euler71': [1, 0, 284, 0, 30246, 0, 1431644, 0, 25411681], 'euler73': [1, 0, 292, 0, 31974, 0, 1556068, 0, 28398241], 'euler79': [1, 0, -196, 0, 22086, 0, -1223236, 0, 38950081], 'euler83': [1, 0, -308, 0, 37494, 0, -2121812, 0, 47458321], 'euler89': [1, 0, -356, 0, 47526, 0, -2819876, 0, 62742241], 'euler97': [1, 0, 388, 0, 56454, 0, 3650692, 0, 88529281], 'euler_factors': [[1, 0, -1, 0, 4, 0, 0, 0, 0], [1, 0, 6, 0, 9, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -28, 0, 294, 0, -1372, 0, 2401], [1, 0, -44, 0, 726, 0, -5324, 0, 14641], [1, 0, -52, 0, 1014, 0, -8788, 0, 28561], [1, 0, 28, 0, 774, 0, 8092, 0, 83521], [1, 16, 172, 1168, 6070, 22192, 62092, 109744, 130321], [1, 0, -68, 0, 2214, 0, -35972, 0, 279841], [1, 0, 116, 0, 5046, 0, 97556, 0, 707281], [1, 0, -4, 0, 1926, 0, -3844, 0, 923521], [1, 0, -148, 0, 8214, 0, -202612, 0, 1874161], [1, 0, -164, 0, 10086, 0, -275684, 0, 2825761], [1, 0, 172, 0, 11094, 0, 318028, 0, 3418801], [1, 0, 28, 0, 4614, 0, 61852, 0, 4879681], [1, 0, 172, 0, 13014, 0, 483148, 0, 7890481], [1, 0, -236, 0, 20886, 0, -821516, 0, 12117361], [1, 0, 236, 0, 21366, 0, 878156, 0, 13845841], [1, 0, 268, 0, 26934, 0, 1203052, 0, 20151121], [1, 0, 284, 0, 30246, 0, 1431644, 0, 25411681], [1, 0, 292, 0, 31974, 0, 1556068, 0, 28398241], [1, 0, -196, 0, 22086, 0, -1223236, 0, 38950081], [1, 0, -308, 0, 37494, 0, -2121812, 0, 47458321], [1, 0, -356, 0, 47526, 0, -2819876, 0, 62742241], [1, 0, 388, 0, 56454, 0, 3650692, 0, 88529281]], 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/600/2/b/c'], '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': '8-600e4-1.1-c1e4-0-2', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '8-600e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.188840816797061, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1005272418245781969, 'z1': {'__RealLiteral__': 0, 'data': '0.32440844774353554180759907523', 'prec': 103}}
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{'Lhash': '411236563501201021562709686444,1130560620442760248666849953343,2520024805158521439949649976837,3222453271354728848661257651154', 'Lhash_array': ['411236563501201021562709686444', '1130560620442760248666849953343', '2520024805158521439949649976837', '3222453271354728848661257651154'], 'label': '8-600e4-1.1-c1e4-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/600/2/b/c'}