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{'algebraic': True, 'analytic_conductor': 2343649.964338797, 'bad_primes': [2, 5, 7], 'central_character': '1.1', 'conductor': 576480100000000, 'conductor_radical': 70, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, -6, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -28, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0], 'euler11': [1, 4, 10, 56, 339, 616, 1210, 5324, 14641], 'euler13': [1, 0, 46, 0, 862, 0, 7774, 0, 28561], 'euler17': [1, 0, 44, 0, 982, 0, 12716, 0, 83521], 'euler19': [1, 0, 40, 0, 802, 0, 14440, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, -4, 58, -200, 1971, -4600, 30682, -48668, 279841], 'euler29': [1, 8, 130, 688, 5859, 19952, 109330, 195112, 707281], 'euler3': [1, 0, 6, 0, 22, 0, 54, 0, 81], 'euler31': [1, 0, 54, 0, 1526, 0, 51894, 0, 923521], 'euler37': [1, -8, 162, -880, 9251, -32560, 221778, -405224, 1874161], 'euler41': [1, 0, 134, 0, 7726, 0, 225254, 0, 2825761], 'euler43': [1, -24, 378, -3840, 29771, -165120, 698922, -1908168, 3418801], 'euler47': [1, 0, 104, 0, 6802, 0, 229736, 0, 4879681], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, -20, 272, -2780, 23614, -147340, 764048, -2977540, 7890481], 'euler59': [1, 0, 206, 0, 17446, 0, 717086, 0, 12117361], 'euler61': [1, 0, -26, 0, 1486, 0, -96746, 0, 13845841], 'euler67': [1, 20, 258, 2920, 28619, 195640, 1158162, 6015260, 20151121], 'euler7': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler71': [1, -40, 794, -10720, 105691, -761120, 4002554, -14316440, 25411681], 'euler73': [1, 0, 22, 0, 4654, 0, 117238, 0, 28398241], 'euler79': [1, 28, 570, 7448, 78419, 588392, 3557370, 13805092, 38950081], 'euler83': [1, 0, 102, 0, 15254, 0, 702678, 0, 47458321], 'euler89': [1, 0, 86, 0, 7566, 0, 681206, 0, 62742241], 'euler97': [1, 0, -26, 0, 15342, 0, -244634, 0, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 6, 0, 22, 0, 54, 0, 81], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 4, 10, 56, 339, 616, 1210, 5324, 14641], [1, 0, 46, 0, 862, 0, 7774, 0, 28561], [1, 0, 44, 0, 982, 0, 12716, 0, 83521], [1, 0, 40, 0, 802, 0, 14440, 0, 130321], [1, -4, 58, -200, 1971, -4600, 30682, -48668, 279841], [1, 8, 130, 688, 5859, 19952, 109330, 195112, 707281], [1, 0, 54, 0, 1526, 0, 51894, 0, 923521], [1, -8, 162, -880, 9251, -32560, 221778, -405224, 1874161], [1, 0, 134, 0, 7726, 0, 225254, 0, 2825761], [1, -24, 378, -3840, 29771, -165120, 698922, -1908168, 3418801], [1, 0, 104, 0, 6802, 0, 229736, 0, 4879681], [1, -20, 272, -2780, 23614, -147340, 764048, -2977540, 7890481], [1, 0, 206, 0, 17446, 0, 717086, 0, 12117361], [1, 0, -26, 0, 1486, 0, -96746, 0, 13845841], [1, 20, 258, 2920, 28619, 195640, 1158162, 6015260, 20151121], [1, -40, 794, -10720, 105691, -761120, 4002554, -14316440, 25411681], [1, 0, 22, 0, 4654, 0, 117238, 0, 28398241], [1, 28, 570, 7448, 78419, 588392, 3557370, 13805092, 38950081], [1, 0, 102, 0, 15254, 0, 702678, 0, 47458321], [1, 0, 86, 0, 7566, 0, 681206, 0, 62742241], [1, 0, -26, 0, 15342, 0, -244634, 0, 88529281]], 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/4900/2/a/bi'], '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': '8-70e8-1.1-c1e4-0-3', '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': '8-70e8-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.25513365088448, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 960496270476287547, 'z1': {'__RealLiteral__': 0, 'data': '0.31124765500547730281831446305', 'prec': 103}}
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{'Lhash': '394553276687322172223170464519,892415042333711569736407450791,1024447075655318555817599792986,1131590366095055457742838076123', 'Lhash_array': ['394553276687322172223170464519', '892415042333711569736407450791', '1024447075655318555817599792986', '1131590366095055457742838076123'], 'label': '8-70e8-1.1-c1e4-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/4900/2/a/bi'}