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{'Lhash': '834043982836840575823952052678,1307175501179225269771444673559,1528607030568718496017144749118,2138745372584517537686059054503', 'a10': 0, 'a2': 0, 'a3': 4, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 10, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 24077.246635059513, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, -4, 6, -4, 1]], [5, [1, 0, 2, 0, 1]], [13, [1, -6, 18, -78, 169]]], 'bad_primes': [2, 3, 5, 13], 'central_character': '1560.1', 'coefficient_field': '1.1.1.1', 'conductor': 5922408960000, 'conductor_radical': 390, 'degree': 8, 'euler_factors': [[1], [1, -4, 6, -4, 1], [1, 0, 2, 0, 1], [1, 0, -15, 0, 116, 0, -735, 0, 2401], [1, 0, -35, 0, 544, 0, -4235, 0, 14641], [1, -6, 18, -78, 169], [1, -10, 97, -530, 2724, -9010, 28033, -49130, 83521], [1, 0, -40, 0, 1054, 0, -14440, 0, 130321], [1, 2, 85, 130, 2868, 2990, 44965, 24334, 279841], [1, 8, 140, 728, 6454, 21112, 117740, 195112, 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'data': '0.65794469129480809042476282555', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.03117964914297343101637268739', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.20585832586164213704937753322', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 24077.246635059513, 'bad_primes': [2, 3, 5, 13], 'central_character': '1.1', 'conductor': 5922408960000, 'conductor_radical': 390, 'degree': 8, 'dirichlet_coefficients': [1, 0, 4, 0, 0, 0, 0, 0, 10, 0, 0, 0, 6, 0, 0, 0, 10, 0, 0, 0, 0, 0, -2, 0, -2, 0, 20, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 20, 0, 0, 0, 0, 0, 15, 0, 40, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, -10, 0, 35, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, -35, 0, 544, 0, -4235, 0, 14641], 'euler13': [1, -6, 18, -78, 169, 0, 0, 0, 0], 'euler17': [1, -10, 97, -530, 2724, -9010, 28033, -49130, 83521], 'euler19': [1, 0, -40, 0, 1054, 0, -14440, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 2, 85, 130, 2868, 2990, 44965, 24334, 279841], 'euler29': [1, 8, 140, 728, 6454, 21112, 117740, 195112, 707281], 'euler3': [1, -4, 6, -4, 1, 0, 0, 0, 0], 'euler31': [1, 0, -116, 0, 5286, 0, -111476, 0, 923521], 'euler37': [1, 0, -115, 0, 5836, 0, -157435, 0, 1874161], 'euler41': [1, 0, -87, 0, 5216, 0, -146247, 0, 2825761], 'euler43': [1, -20, 288, -2740, 21134, -117820, 532512, -1590140, 3418801], 'euler47': [1, 0, -188, 0, 13254, 0, -415292, 0, 4879681], 'euler5': [1, 0, 2, 0, 1, 0, 0, 0, 0], 'euler53': [1, 2, 137, 242, 10348, 12826, 384833, 297754, 7890481], 'euler59': [1, 0, -92, 0, 7990, 0, -320252, 0, 12117361], 'euler61': [1, 2, 169, 290, 14620, 17690, 628849, 453962, 13845841], 'euler67': [1, 0, 56, 0, 4254, 0, 251384, 0, 20151121], 'euler7': [1, 0, -15, 0, 116, 0, -735, 0, 2401], 'euler71': [1, 0, -163, 0, 15768, 0, -821683, 0, 25411681], 'euler73': [1, 0, -208, 0, 19774, 0, -1108432, 0, 28398241], 'euler79': [1, 10, 277, 2050, 32308, 161950, 1728757, 4930390, 38950081], 'euler83': [1, 0, -296, 0, 35614, 0, -2039144, 0, 47458321], 'euler89': [1, 0, -335, 0, 43792, 0, -2653535, 0, 62742241], 'euler97': [1, 0, -379, 0, 54724, 0, -3566011, 0, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -4, 6, -4, 1, 0, 0, 0, 0], [1, 0, 2, 0, 1, 0, 0, 0, 0], [1, 0, -15, 0, 116, 0, -735, 0, 2401], [1, 0, -35, 0, 544, 0, -4235, 0, 14641], [1, -6, 18, -78, 169, 0, 0, 0, 0], [1, -10, 97, -530, 2724, -9010, 28033, -49130, 83521], [1, 0, -40, 0, 1054, 0, -14440, 0, 130321], [1, 2, 85, 130, 2868, 2990, 44965, 24334, 279841], [1, 8, 140, 728, 6454, 21112, 117740, 195112, 707281], [1, 0, -116, 0, 5286, 0, -111476, 0, 923521], [1, 0, -115, 0, 5836, 0, -157435, 0, 1874161], [1, 0, -87, 0, 5216, 0, -146247, 0, 2825761], [1, -20, 288, -2740, 21134, -117820, 532512, -1590140, 3418801], [1, 0, -188, 0, 13254, 0, -415292, 0, 4879681], [1, 2, 137, 242, 10348, 12826, 384833, 297754, 7890481], [1, 0, -92, 0, 7990, 0, -320252, 0, 12117361], [1, 2, 169, 290, 14620, 17690, 628849, 453962, 13845841], [1, 0, 56, 0, 4254, 0, 251384, 0, 20151121], [1, 0, -163, 0, 15768, 0, -821683, 0, 25411681], [1, 0, -208, 0, 19774, 0, -1108432, 0, 28398241], [1, 10, 277, 2050, 32308, 161950, 1728757, 4930390, 38950081], [1, 0, -296, 0, 35614, 0, -2039144, 0, 47458321], [1, 0, -335, 0, 43792, 0, -2653535, 0, 62742241], [1, 0, -379, 0, 54724, 0, -3566011, 0, 88529281]], 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1560/2/g/h'], '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': '8-1560e4-1.1-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': '8-1560e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.5293997670028463, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1717117296605258456, 'z1': {'__RealLiteral__': 0, 'data': '0.65794469129480809042476282555', 'prec': 103}}
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{'Lhash': '834043982836840575823952052678,1307175501179225269771444673559,1528607030568718496017144749118,2138745372584517537686059054503', 'Lhash_array': ['834043982836840575823952052678', '1307175501179225269771444673559', '1528607030568718496017144749118', '2138745372584517537686059054503'], 'label': '8-1560e4-1.1-c1e4-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1560/2/g/h'}