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'prec': 10}, 'spectral_label': 'c0e4-0', 'trace_hash': 1998070755395722743, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.57309192233742260054144007607', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.921513808326219850436467154319', 'prec': 107}, 'z3': {'__RealLiteral__': 0, 'data': '1.25715786843295001244008191271', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 5.194335694772593, 'bad_primes': [5, 11], 'central_character': '1.1', 'conductor': 83733937890625, 'conductor_radical': 55, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler13': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler17': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler19': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler2': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler23': [1, 0, 4, 0, 6, 0, 4, 0, 1], 'euler29': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler3': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'euler31': [1, -2, 3, -4, 5, -4, 3, -2, 1], 'euler37': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'euler41': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler43': [1, 0, -4, 0, 6, 0, -4, 0, 1], 'euler47': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'euler59': [1, -2, 3, -4, 5, -4, 3, -2, 1], 'euler61': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler67': [1, 0, 4, 0, 6, 0, 4, 0, 1], 'euler7': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler71': [1, 2, 3, 4, 5, 4, 3, 2, 1], 'euler73': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler79': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler83': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler89': [1, -8, 28, -56, 70, -56, 28, -8, 1], 'euler97': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'euler_factors': [[1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, -1, 0, 1, 0, -1, 0, 1], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 4, 0, 6, 0, 4, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, -2, 3, -4, 5, -4, 3, -2, 1], [1, 0, -1, 0, 1, 0, -1, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, -4, 0, 6, 0, -4, 0, 1], [1, 0, -1, 0, 1, 0, -1, 0, 1], [1, 0, -1, 0, 1, 0, -1, 0, 1], [1, -2, 3, -4, 5, -4, 3, -2, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 4, 0, 6, 0, 4, 0, 1], [1, 2, 3, 4, 5, 4, 3, 2, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, -8, 28, -56, 70, -56, 28, -8, 1], [1, 0, -1, 0, 1, 0, -1, 0, 1]], 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3025/1/x/a'], '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': '8-55e8-1.1-c0e4-0-5', 'motivic_weight': 0, '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': [0, 0, 0, 0], 'order_of_vanishing': 0, 'prelabel': '8-55e8-1.1-c0e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.2286869671380227, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0e4-0', 'trace_hash': 1998070755395722743, 'z1': {'__RealLiteral__': 0, 'data': '0.57309192233742260054144007607', 'prec': 103}}
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{'Lhash': '726480319336983588467581912103,1168157532243334134082938681506,1593636926500670530939000633616,1964020288205480897313678866199', 'Lhash_array': ['726480319336983588467581912103', '1168157532243334134082938681506', '1593636926500670530939000633616', '1964020288205480897313678866199'], 'label': '8-55e8-1.1-c0e4-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3025/1/x/a'}