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'10.54003730869926968582882198291964', '10.95281112978974217330478827140911', '11.46900890765711774747902333793571'], 'prelabel': '8-600e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.188840816797061, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e4-0', 'trace_hash': 91226232570243743, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.39798136038158938594505397618', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.59752555641412705031136005861', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.64345585494942339616386399038', '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, 4, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -4, 8, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 8, -32, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, -64, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, -128, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, -4, 0, 246, 0, -484, 0, 14641], 'euler13': [1, 0, 0, 0, -142, 0, 0, 0, 28561], 'euler17': [1, -8, 32, -200, 1186, -3400, 9248, -39304, 83521], 'euler19': [1, 0, 76, 0, 2166, 0, 27436, 0, 130321], 'euler2': [1, -4, 8, -8, 4, 0, 0, 0, 0], 'euler23': [1, 16, 128, 880, 5026, 20240, 67712, 194672, 279841], 'euler29': [1, 0, 76, 0, 3126, 0, 63916, 0, 707281], 'euler3': [1, 0, 0, 0, 9, 0, 0, 0, 0], 'euler31': [1, -8, 148, -776, 7270, -24056, 142228, -238328, 923521], 'euler37': [1, 0, 0, 0, -1582, 0, 0, 0, 1874161], 'euler41': [1, 0, -164, 0, 10086, 0, -275684, 0, 2825761], 'euler43': [1, 0, 0, 0, 1778, 0, 0, 0, 3418801], 'euler47': [1, 32, 512, 5600, 44866, 263200, 1131008, 3322336, 4879681], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, 0, 0, 5618, 0, 0, 0, 7890481], 'euler59': [1, 0, 196, 0, 16566, 0, 682276, 0, 12117361], 'euler61': [1, 0, -244, 0, 22326, 0, -907924, 0, 13845841], 'euler67': [1, 0, 0, 0, -8302, 0, 0, 0, 20151121], 'euler7': [1, 0, 0, 0, 98, 0, 0, 0, 2401], 'euler71': [1, 0, -284, 0, 30246, 0, -1431644, 0, 25411681], 'euler73': [1, 0, 0, 0, 10658, 0, 0, 0, 28398241], 'euler79': [1, 0, 76, 0, 13926, 0, 474316, 0, 38950081], 'euler83': [1, 0, 0, 0, 13778, 0, 0, 0, 47458321], 'euler89': [1, 0, 356, 0, 47526, 0, 2819876, 0, 62742241], 'euler97': [1, 0, 0, 0, 18818, 0, 0, 0, 88529281], 'euler_factors': [[1, -4, 8, -8, 4, 0, 0, 0, 0], [1, 0, 0, 0, 9, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 98, 0, 0, 0, 2401], [1, 0, -4, 0, 246, 0, -484, 0, 14641], [1, 0, 0, 0, -142, 0, 0, 0, 28561], [1, -8, 32, -200, 1186, -3400, 9248, -39304, 83521], [1, 0, 76, 0, 2166, 0, 27436, 0, 130321], [1, 16, 128, 880, 5026, 20240, 67712, 194672, 279841], [1, 0, 76, 0, 3126, 0, 63916, 0, 707281], [1, -8, 148, -776, 7270, -24056, 142228, -238328, 923521], [1, 0, 0, 0, -1582, 0, 0, 0, 1874161], [1, 0, -164, 0, 10086, 0, -275684, 0, 2825761], [1, 0, 0, 0, 1778, 0, 0, 0, 3418801], [1, 32, 512, 5600, 44866, 263200, 1131008, 3322336, 4879681], [1, 0, 0, 0, 5618, 0, 0, 0, 7890481], [1, 0, 196, 0, 16566, 0, 682276, 0, 12117361], [1, 0, -244, 0, 22326, 0, -907924, 0, 13845841], [1, 0, 0, 0, -8302, 0, 0, 0, 20151121], [1, 0, -284, 0, 30246, 0, -1431644, 0, 25411681], [1, 0, 0, 0, 10658, 0, 0, 0, 28398241], [1, 0, 76, 0, 13926, 0, 474316, 0, 38950081], [1, 0, 0, 0, 13778, 0, 0, 0, 47458321], [1, 0, 356, 0, 47526, 0, 2819876, 0, 62742241], [1, 0, 0, 0, 18818, 0, 0, 0, 88529281]], 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/600/2/w/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': '8-600e4-1.1-c1e4-0-6', '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': 91226232570243743, 'z1': {'__RealLiteral__': 0, 'data': '0.39798136038158938594505397618', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '504501310367369061733613134301,2025104230468304305419509754287,2083327800975234483962519463774,3368734989321657586863662418259', 'Lhash_array': ['504501310367369061733613134301', '2025104230468304305419509754287', '2083327800975234483962519463774', '3368734989321657586863662418259'], 'factors': ['2-600-120.53-c1-0-7', '2-600-120.53-c1-0-44', '2-600-120.77-c1-0-45', '2-600-120.77-c1-0-66'], 'label': '8-600e4-1.1-c1e4-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/600/2/w/g'}