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{'Lhash': '780007945793857594075586254856,1320846354509504831102734131658,1469557676796628656882018135627,2444198865429109559443778171747', 'a10': 0, 'a2': 4, 'a3': -2, 'a4': 10, 'a5': 0, 'a6': -8, 'a7': 0, 'a8': 20, 'a9': 5, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 17971.339019632993, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, -4, 6, -4, 1]], [5, [1]], [29, [1, -8, 74, -232, 841]]], 'bad_primes': [2, 5, 29], 'central_character': '1450.1', 'coefficient_field': '1.1.1.1', 'conductor': 4420506250000, 'conductor_radical': 290, 'degree': 8, 'euler_factors': [[1, -4, 6, -4, 1], [1, 2, -1, 4, 25, 12, -9, 54, 81], [1], [1, 0, -1, 0, -83, 0, -49, 0, 2401], [1, 0, -36, 0, 566, 0, -4356, 0, 14641], [1, 0, -33, 0, 545, 0, -5577, 0, 28561], [1, 6, 67, 276, 1725, 4692, 19363, 29478, 83521], [1, 0, 0, 0, -322, 0, 0, 0, 130321], [1, 0, -77, 0, 2533, 0, -40733, 0, 279841], [1, -8, 74, -232, 841], [1, 0, -97, 0, 4093, 0, 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'spectral_label': 'c1e4-0', 'trace_hash': 129200999313992882, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.61531777419852440943898378862', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.04196405087624144964722072195', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.15927659919227557852237169594', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 17971.339019632993, 'bad_primes': [2, 5, 29], 'central_character': '1.1', 'conductor': 4420506250000, 'conductor_radical': 290, 'degree': 8, 'dirichlet_coefficients': [1, 4, -2, 10, 0, -8, 0, 20, 5, 0, 0, -20, 0, 0, 0, 35, -6, 20, 0, 0, 0, 0, 0, -40, 0, 0, -16, 0, 8, 0, 0, 56, 0, -24, 0, 50, 32, 0, 0, 0, 0, 0, 10, 0, 0, 0, -20, -70, 1, 0, 12, 0, 0, -64, 0, 0, 0, 32, 46, 0, 0, 0, 0, 84, 0, 0, 0, -60, 0, 0, 24, 100, -14, 128, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 40, -16, 0, 0, 0, 0, 0, 0, -80, 0, -112, 14, 4, 0, 0], 'euler11': [1, 0, -36, 0, 566, 0, -4356, 0, 14641], 'euler13': [1, 0, -33, 0, 545, 0, -5577, 0, 28561], 'euler17': [1, 6, 67, 276, 1725, 4692, 19363, 29478, 83521], 'euler19': [1, 0, 0, 0, -322, 0, 0, 0, 130321], 'euler2': [1, -4, 6, -4, 1, 0, 0, 0, 0], 'euler23': [1, 0, -77, 0, 2533, 0, -40733, 0, 279841], 'euler29': [1, -8, 74, -232, 841, 0, 0, 0, 0], 'euler3': [1, 2, -1, 4, 25, 12, -9, 54, 81], 'euler31': [1, 0, -97, 0, 4093, 0, -93217, 0, 923521], 'euler37': [1, -32, 532, -5600, 40726, -207200, 728308, -1620896, 1874161], 'euler41': [1, 0, -88, 0, 4254, 0, -147928, 0, 2825761], 'euler43': [1, -10, 195, -1280, 13073, -55040, 360555, -795070, 3418801], 'euler47': [1, 20, 280, 2740, 21918, 128780, 618520, 2076460, 4879681], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, -137, 0, 9433, 0, -384833, 0, 7890481], 'euler59': [1, -46, 1015, -13892, 128433, -819628, 3533215, -9447434, 12117361], 'euler61': [1, 0, -9, 0, 4265, 0, -33489, 0, 13845841], 'euler67': [1, 0, -112, 0, 6430, 0, -502768, 0, 20151121], 'euler7': [1, 0, -1, 0, -83, 0, -49, 0, 2401], 'euler71': [1, -24, 500, -5976, 62214, -424296, 2520500, -8589864, 25411681], 'euler73': [1, 14, 235, 2324, 26461, 169652, 1252315, 5446238, 28398241], 'euler79': [1, 0, 51, 0, 11501, 0, 318291, 0, 38950081], 'euler83': [1, 0, -92, 0, 14038, 0, -633788, 0, 47458321], 'euler89': [1, 0, -296, 0, 37630, 0, -2344616, 0, 62742241], 'euler97': [1, -14, 331, -3332, 48205, -323204, 3114379, -12777422, 88529281], 'euler_factors': [[1, -4, 6, -4, 1, 0, 0, 0, 0], [1, 2, -1, 4, 25, 12, -9, 54, 81], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, 0, -83, 0, -49, 0, 2401], [1, 0, -36, 0, 566, 0, -4356, 0, 14641], [1, 0, -33, 0, 545, 0, -5577, 0, 28561], [1, 6, 67, 276, 1725, 4692, 19363, 29478, 83521], [1, 0, 0, 0, -322, 0, 0, 0, 130321], [1, 0, -77, 0, 2533, 0, -40733, 0, 279841], [1, -8, 74, -232, 841, 0, 0, 0, 0], [1, 0, -97, 0, 4093, 0, -93217, 0, 923521], [1, -32, 532, -5600, 40726, -207200, 728308, -1620896, 1874161], [1, 0, -88, 0, 4254, 0, -147928, 0, 2825761], [1, -10, 195, -1280, 13073, -55040, 360555, -795070, 3418801], [1, 20, 280, 2740, 21918, 128780, 618520, 2076460, 4879681], [1, 0, -137, 0, 9433, 0, -384833, 0, 7890481], [1, -46, 1015, -13892, 128433, -819628, 3533215, -9447434, 12117361], [1, 0, -9, 0, 4265, 0, -33489, 0, 13845841], [1, 0, -112, 0, 6430, 0, -502768, 0, 20151121], [1, -24, 500, -5976, 62214, -424296, 2520500, -8589864, 25411681], [1, 14, 235, 2324, 26461, 169652, 1252315, 5446238, 28398241], [1, 0, 51, 0, 11501, 0, 318291, 0, 38950081], [1, 0, -92, 0, 14038, 0, -633788, 0, 47458321], [1, 0, -296, 0, 37630, 0, -2344616, 0, 62742241], [1, -14, 331, -3332, 48205, -323204, 3114379, -12777422, 88529281]], 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1450/2/d/g'], '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': '8-1450e4-1.1-c1e4-0-7', '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': '8-1450e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.4026913308564533, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 129200999313992882, 'z1': {'__RealLiteral__': 0, 'data': '0.61531777419852440943898378862', 'prec': 103}}
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{'Lhash': '780007945793857594075586254856,1320846354509504831102734131658,1469557676796628656882018135627,2444198865429109559443778171747', 'Lhash_array': ['780007945793857594075586254856', '1320846354509504831102734131658', '1469557676796628656882018135627', '2444198865429109559443778171747'], 'label': '8-1450e4-1.1-c1e4-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1450/2/d/g'}