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{'Lhash': '361557227010848130496158073710,648367290518510608032265398565,1073643921294151496217390068762,1207095810178342011654979340530', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': -2, 'a5': -8, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 246334.5003433168, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 0, 2, 0, 1]], [3, [1]], [5, [1, 8, 26, 40, 25]], [31, [1, -4, 6, -4, 1]]], 'bad_primes': [2, 3, 5, 31], 'central_character': '2790.1', 'coefficient_field': '1.1.1.1', 'conductor': 60592212810000, 'conductor_radical': 930, 'degree': 8, 'euler_factors': [[1, 0, 2, 0, 1], [1], [1, 8, 26, 40, 25], [1, 0, -4, 0, -26, 0, -196, 0, 2401], [1, 8, 52, 232, 918, 2552, 6292, 10648, 14641], [1, 0, -28, 0, 406, 0, -4732, 0, 28561], [1, 0, -44, 0, 934, 0, -12716, 0, 83521], [1, 0, 76, 0, 2166, 0, 27436, 0, 130321], [1, 0, 52, 0, 1734, 0, 27508, 0, 279841], [1, -16, 148, -1136, 7158, -32944, 124468, 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{'algebraic': True, 'analytic_conductor': 246334.5003433168, 'bad_primes': [2, 3, 5, 31], 'central_character': '1.1', 'conductor': 60592212810000, 'conductor_radical': 930, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, -2, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 3, 0, 0, 0, 16, 0, 0, 0, 0, 38, 0, 0, 0, 16, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 16, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 64, 0, 0, 0, 24, 0, -8, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76], 'euler11': [1, 8, 52, 232, 918, 2552, 6292, 10648, 14641], 'euler13': [1, 0, -28, 0, 406, 0, -4732, 0, 28561], 'euler17': [1, 0, -44, 0, 934, 0, -12716, 0, 83521], 'euler19': [1, 0, 76, 0, 2166, 0, 27436, 0, 130321], 'euler2': [1, 0, 2, 0, 1, 0, 0, 0, 0], 'euler23': [1, 0, 52, 0, 1734, 0, 27508, 0, 279841], 'euler29': [1, -16, 148, -1136, 7158, -32944, 124468, -390224, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, -4, 6, -4, 1, 0, 0, 0, 0], 'euler37': [1, 0, 4, 0, 1590, 0, 5476, 0, 1874161], 'euler41': [1, 8, 124, 760, 7590, 31160, 208444, 551368, 2825761], 'euler43': [1, 0, -76, 0, 3094, 0, -140524, 0, 3418801], 'euler47': [1, 0, -124, 0, 8262, 0, -273916, 0, 4879681], 'euler5': [1, 8, 26, 40, 25, 0, 0, 0, 0], 'euler53': [1, 0, -76, 0, 2454, 0, -213484, 0, 7890481], 'euler59': [1, -24, 436, -4920, 45270, -290280, 1517716, -4929096, 12117361], 'euler61': [1, 8, 252, 1432, 23318, 87352, 937692, 1815848, 13845841], 'euler67': [1, 0, 36, 0, 4694, 0, 161604, 0, 20151121], 'euler7': [1, 0, -4, 0, -26, 0, -196, 0, 2401], 'euler71': [1, 0, 268, 0, 28038, 0, 1350988, 0, 25411681], 'euler73': [1, 0, -100, 0, 4966, 0, -532900, 0, 28398241], 'euler79': [1, 0, 60, 0, 13382, 0, 374460, 0, 38950081], 'euler83': [1, 0, -236, 0, 25654, 0, -1625804, 0, 47458321], 'euler89': [1, -8, 364, -2104, 48966, -187256, 2883244, -5639752, 62742241], 'euler97': [1, 0, -132, 0, 23174, 0, -1241988, 0, 88529281], 'euler_factors': [[1, 0, 2, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 8, 26, 40, 25, 0, 0, 0, 0], [1, 0, -4, 0, -26, 0, -196, 0, 2401], [1, 8, 52, 232, 918, 2552, 6292, 10648, 14641], [1, 0, -28, 0, 406, 0, -4732, 0, 28561], [1, 0, -44, 0, 934, 0, -12716, 0, 83521], [1, 0, 76, 0, 2166, 0, 27436, 0, 130321], [1, 0, 52, 0, 1734, 0, 27508, 0, 279841], [1, -16, 148, -1136, 7158, -32944, 124468, -390224, 707281], [1, -4, 6, -4, 1, 0, 0, 0, 0], [1, 0, 4, 0, 1590, 0, 5476, 0, 1874161], [1, 8, 124, 760, 7590, 31160, 208444, 551368, 2825761], [1, 0, -76, 0, 3094, 0, -140524, 0, 3418801], [1, 0, -124, 0, 8262, 0, -273916, 0, 4879681], [1, 0, -76, 0, 2454, 0, -213484, 0, 7890481], [1, -24, 436, -4920, 45270, -290280, 1517716, -4929096, 12117361], [1, 8, 252, 1432, 23318, 87352, 937692, 1815848, 13845841], [1, 0, 36, 0, 4694, 0, 161604, 0, 20151121], [1, 0, 268, 0, 28038, 0, 1350988, 0, 25411681], [1, 0, -100, 0, 4966, 0, -532900, 0, 28398241], [1, 0, 60, 0, 13382, 0, 374460, 0, 38950081], [1, 0, -236, 0, 25654, 0, -1625804, 0, 47458321], [1, -8, 364, -2104, 48966, -187256, 2883244, -5639752, 62742241], [1, 0, -132, 0, 23174, 0, -1241988, 0, 88529281]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2790/2/d/i'], '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': '8-2790e4-1.1-c1e4-0-0', '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': '8-2790e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.71998539869958, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1976361655792221764, 'z1': {'__RealLiteral__': 0, 'data': '0.28521836138897651654208309530', 'prec': 103}}
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{'Lhash': '361557227010848130496158073710,648367290518510608032265398565,1073643921294151496217390068762,1207095810178342011654979340530', 'Lhash_array': ['361557227010848130496158073710', '648367290518510608032265398565', '1073643921294151496217390068762', '1207095810178342011654979340530'], 'label': '8-2790e4-1.1-c1e4-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2790/2/d/i'}