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{'Lhash': '2318491877309842160647475580884,2798485907460803091703858242282,3682356162724613011021813910255,5132130812171396806524549996693', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': -2, 'a5': 4, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.09761141042643885, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 0, 2, 0, 1]], [5, [1, -4, 8, -20, 25]], [7, [1, 0, 2, 0, 1]]], 'bad_primes': [2, 5, 7], 'central_character': '70.1', 'coefficient_field': '1.1.1.1', 'conductor': 24010000, 'conductor_radical': 70, 'degree': 8, 'euler_factors': [[1, 0, 2, 0, 1], [1, 0, 0, 0, 18, 0, 0, 0, 81], [1, -4, 8, -20, 25], [1, 0, 2, 0, 1], [1, 0, -4, 0, 246, 0, -484, 0, 14641], [1, 0, -32, 0, 498, 0, -5408, 0, 28561], [1, 0, -60, 0, 1478, 0, -17340, 0, 83521], [1, 16, 160, 1072, 5458, 20368, 57760, 109744, 130321], [1, 0, -36, 0, 998, 0, -19044, 0, 279841], [1, 8, 92, 536, 4054, 15544, 77372, 195112, 707281], [1, 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'2.20761612620777380177549525069', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.90486681587310966934221475522', 'prec': 103}}
-
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{'algebraic': True, 'analytic_conductor': 0.09761141042643885, 'bad_primes': [2, 5, 7], 'central_character': '1.1', 'conductor': 24010000, 'conductor_radical': 70, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, -16, -8, 0, 0, 0, 0, 8, 0, 0, 0, -8, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 24, 0, 0, -4, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 32, 0, 0, -8, 12, -18, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, -16], 'euler11': [1, 0, -4, 0, 246, 0, -484, 0, 14641], 'euler13': [1, 0, -32, 0, 498, 0, -5408, 0, 28561], 'euler17': [1, 0, -60, 0, 1478, 0, -17340, 0, 83521], 'euler19': [1, 16, 160, 1072, 5458, 20368, 57760, 109744, 130321], 'euler2': [1, 0, 2, 0, 1, 0, 0, 0, 0], 'euler23': [1, 0, -36, 0, 998, 0, -19044, 0, 279841], 'euler29': [1, 8, 92, 536, 4054, 15544, 77372, 195112, 707281], 'euler3': [1, 0, 0, 0, 18, 0, 0, 0, 81], 'euler31': [1, -16, 172, -1360, 8806, -42160, 165292, -476656, 923521], 'euler37': [1, 0, -140, 0, 7638, 0, -191660, 0, 1874161], 'euler41': [1, 24, 332, 3240, 24006, 132840, 558092, 1654104, 2825761], 'euler43': [1, 0, -92, 0, 4278, 0, -170108, 0, 3418801], 'euler47': [1, 0, -108, 0, 5798, 0, -238572, 0, 4879681], 'euler5': [1, -4, 8, -20, 25, 0, 0, 0, 0], 'euler53': [1, 0, -92, 0, 4278, 0, -258428, 0, 7890481], 'euler59': [1, -16, 320, -2992, 30898, -176528, 1113920, -3286064, 12117361], 'euler61': [1, -24, 448, -5112, 48114, -311832, 1667008, -5447544, 13845841], 'euler67': [1, 0, -140, 0, 13878, 0, -628460, 0, 20151121], 'euler7': [1, 0, 2, 0, 1, 0, 0, 0, 0], 'euler71': [1, 24, 452, 5400, 54246, 383400, 2278532, 8589864, 25411681], 'euler73': [1, 0, -236, 0, 24198, 0, -1257644, 0, 28398241], 'euler79': [1, 8, 292, 1736, 34054, 137144, 1822372, 3944312, 38950081], 'euler83': [1, 0, -320, 0, 39378, 0, -2204480, 0, 47458321], 'euler89': [1, -40, 956, -14680, 164326, -1306520, 7572476, -28198760, 62742241], 'euler97': [1, 0, -124, 0, 8838, 0, -1166716, 0, 88529281], 'euler_factors': [[1, 0, 2, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 18, 0, 0, 0, 81], [1, -4, 8, -20, 25, 0, 0, 0, 0], [1, 0, 2, 0, 1, 0, 0, 0, 0], [1, 0, -4, 0, 246, 0, -484, 0, 14641], [1, 0, -32, 0, 498, 0, -5408, 0, 28561], [1, 0, -60, 0, 1478, 0, -17340, 0, 83521], [1, 16, 160, 1072, 5458, 20368, 57760, 109744, 130321], [1, 0, -36, 0, 998, 0, -19044, 0, 279841], [1, 8, 92, 536, 4054, 15544, 77372, 195112, 707281], [1, -16, 172, -1360, 8806, -42160, 165292, -476656, 923521], [1, 0, -140, 0, 7638, 0, -191660, 0, 1874161], [1, 24, 332, 3240, 24006, 132840, 558092, 1654104, 2825761], [1, 0, -92, 0, 4278, 0, -170108, 0, 3418801], [1, 0, -108, 0, 5798, 0, -238572, 0, 4879681], [1, 0, -92, 0, 4278, 0, -258428, 0, 7890481], [1, -16, 320, -2992, 30898, -176528, 1113920, -3286064, 12117361], [1, -24, 448, -5112, 48114, -311832, 1667008, -5447544, 13845841], [1, 0, -140, 0, 13878, 0, -628460, 0, 20151121], [1, 24, 452, 5400, 54246, 383400, 2278532, 8589864, 25411681], [1, 0, -236, 0, 24198, 0, -1257644, 0, 28398241], [1, 8, 292, 1736, 34054, 137144, 1822372, 3944312, 38950081], [1, 0, -320, 0, 39378, 0, -2204480, 0, 47458321], [1, -40, 956, -14680, 164326, -1306520, 7572476, -28198760, 62742241], [1, 0, -124, 0, 8838, 0, -1166716, 0, 88529281]], 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/70/2/c/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': '8-70e4-1.1-c1e4-0-1', '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': '8-70e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.7476314694747426, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 616652183128617274, 'z1': {'__RealLiteral__': 0, 'data': '1.82896760108220512789219906716', 'prec': 103}}
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{'Lhash': '2318491877309842160647475580884,2798485907460803091703858242282,3682356162724613011021813910255,5132130812171396806524549996693', 'Lhash_array': ['2318491877309842160647475580884', '2798485907460803091703858242282', '3682356162724613011021813910255', '5132130812171396806524549996693'], 'label': '8-70e4-1.1-c1e4-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/70/2/c/a'}