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{'algebraic': True, 'analytic_conductor': 22.581823894835114, 'bad_primes': [3, 7, 13], 'central_character': '1.1', 'conductor': 5554571841, 'conductor_radical': 273, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 4, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0], 'euler11': [1, 0, 0, 0, -121, 0, 0, 0, 14641], 'euler13': [1, 0, 23, 0, 169, 0, 0, 0, 0], 'euler17': [1, 0, -34, 0, 867, 0, -9826, 0, 83521], 'euler19': [1, 16, 65, -288, -3052, -5472, 23465, 109744, 130321], 'euler2': [1, 0, 0, 0, -4, 0, 0, 0, 16], 'euler23': [1, 0, -46, 0, 1587, 0, -24334, 0, 279841], 'euler29': [1, 0, -116, 0, 5046, 0, -97556, 0, 707281], 'euler3': [1, 0, 3, 0, 9, 0, 0, 0, 0], 'euler31': [1, -22, 137, 330, -6496, 10230, 131657, -655402, 923521], 'euler37': [1, -22, 221, -1386, 7808, -51282, 302549, -1114366, 1874161], 'euler41': [1, 0, 0, 0, 3362, 0, 0, 0, 2825761], 'euler43': [1, 0, 122, 0, 7419, 0, 225578, 0, 3418801], 'euler47': [1, 0, 0, 0, -2209, 0, 0, 0, 4879681], 'euler5': [1, 0, 0, 0, -25, 0, 0, 0, 625], 'euler53': [1, 0, 106, 0, 8427, 0, 297754, 0, 7890481], 'euler59': [1, 0, 0, 0, -3481, 0, 0, 0, 12117361], 'euler61': [1, 0, -74, 0, 1755, 0, -275354, 0, 13845841], 'euler67': [1, 10, 281, 1890, 28376, 126630, 1261409, 3007630, 20151121], 'euler7': [1, 0, -13, 0, 49, 0, 0, 0, 0], 'euler71': [1, 0, 0, 0, 10082, 0, 0, 0, 25411681], 'euler73': [1, -20, 389, -4320, 45836, -315360, 2072981, -7780340, 28398241], 'euler79': [1, 0, -11, 0, -6120, 0, -68651, 0, 38950081], 'euler83': [1, 0, 0, 0, 13778, 0, 0, 0, 47458321], 'euler89': [1, 0, 0, 0, -7921, 0, 0, 0, 62742241], 'euler97': [1, -28, 392, -2772, 19598, -268884, 3688328, -25554844, 88529281], 'euler_factors': [[1, 0, 0, 0, -4, 0, 0, 0, 16], [1, 0, 3, 0, 9, 0, 0, 0, 0], [1, 0, 0, 0, -25, 0, 0, 0, 625], [1, 0, -13, 0, 49, 0, 0, 0, 0], [1, 0, 0, 0, -121, 0, 0, 0, 14641], [1, 0, 23, 0, 169, 0, 0, 0, 0], [1, 0, -34, 0, 867, 0, -9826, 0, 83521], [1, 16, 65, -288, -3052, -5472, 23465, 109744, 130321], [1, 0, -46, 0, 1587, 0, -24334, 0, 279841], [1, 0, -116, 0, 5046, 0, -97556, 0, 707281], [1, -22, 137, 330, -6496, 10230, 131657, -655402, 923521], [1, -22, 221, -1386, 7808, -51282, 302549, -1114366, 1874161], [1, 0, 0, 0, 3362, 0, 0, 0, 2825761], [1, 0, 122, 0, 7419, 0, 225578, 0, 3418801], [1, 0, 0, 0, -2209, 0, 0, 0, 4879681], [1, 0, 106, 0, 8427, 0, 297754, 0, 7890481], [1, 0, 0, 0, -3481, 0, 0, 0, 12117361], [1, 0, -74, 0, 1755, 0, -275354, 0, 13845841], [1, 10, 281, 1890, 28376, 126630, 1261409, 3007630, 20151121], [1, 0, 0, 0, 10082, 0, 0, 0, 25411681], [1, -20, 389, -4320, 45836, -315360, 2072981, -7780340, 28398241], [1, 0, -11, 0, -6120, 0, -68651, 0, 38950081], [1, 0, 0, 0, 13778, 0, 0, 0, 47458321], [1, 0, 0, 0, -7921, 0, 0, 0, 62742241], [1, -28, 392, -2772, 19598, -268884, 3688328, -25554844, 88529281]], 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/273/2/cd/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': '8-273e4-1.1-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': '8-273e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.4764538513549808, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1958049338504860432, 'z1': {'__RealLiteral__': 0, 'data': '0.66479052213457971802586217344', 'prec': 103}}
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{'Lhash': '842722104409938003290770953360,1610274497814561854667992971120,2727761560301297742642471246347,3567200619106489837663399043676', 'Lhash_array': ['842722104409938003290770953360', '1610274497814561854667992971120', '2727761560301297742642471246347', '3567200619106489837663399043676'], 'label': '8-273e4-1.1-c1e4-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/273/2/cd/a'}