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{'Lhash': '461793887164403209050712813994,1984683151646637901390342766980,2024414533433760016094655146798,2240147705387449154628297916719', 'a10': 0, 'a2': 0, 'a3': 3, 'a4': 2, 'a5': 1, 'a6': 0, 'a7': 1, 'a8': 0, 'a9': 3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2092.3872711843164, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [1, -1, 1, -1, 1]], [11, [1]]], 'bad_primes': [7, 11], 'central_character': '847.1', 'coefficient_field': '1.1.1.1', 'conductor': 514675673281, 'conductor_radical': 77, 'degree': 8, 'euler_factors': [[1, 0, -2, 0, 4, 0, -8, 0, 16], [1, -3, 6, -9, 9, -27, 54, -81, 81], [1, -1, -4, 9, 11, 45, -100, -125, 625], [1, -1, 1, -1, 1], [1], [1, -4, 3, 40, -199, 520, 507, -8788, 28561], [1, 2, -13, -60, 101, -1020, -3757, 9826, 83521], [1, -6, 17, 12, -395, 228, 6137, -41154, 130321], [1, 20, 242, 1880, 10699, 43240, 128018, 243340, 279841], [1, 10, 71, 420, 2141, 12180, 59711, 243890, 707281], [1, 1, 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{'algebraic': True, 'analytic_conductor': 2092.3872711843164, 'bad_primes': [7, 11], 'central_character': '1.1', 'conductor': 514675673281, 'conductor_radical': 77, 'degree': 8, 'dirichlet_coefficients': [1, 0, 3, 2, 1, 0, 1, 0, 3, 0, 0, 6, 4, 0, 3, 0, -2, 0, 6, 2, 3, 0, -20, 0, 5, 0, 0, 2, -10, 0, -1, 0, 0, 0, 1, 6, 5, 0, 12, 0, 2, 0, -32, 0, 3, 0, -8, 0, 0, 0, -6, 8, 6, 0, 0, 0, 18, 0, -3, 6, 2, 0, 3, 0, 4, 0, -12, -4, -60, 0, -1, 0, -10, 0, 15, 12, 0, 0, -6, 0, 0, 0, -12, 6, -2, 0, -30, 0, -60, 0, 4, -40, -3, 0, 6, 0, 5, 0, 0, 10], 'euler11': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler13': [1, -4, 3, 40, -199, 520, 507, -8788, 28561], 'euler17': [1, 2, -13, -60, 101, -1020, -3757, 9826, 83521], 'euler19': [1, -6, 17, 12, -395, 228, 6137, -41154, 130321], 'euler2': [1, 0, -2, 0, 4, 0, -8, 0, 16], 'euler23': [1, 20, 242, 1880, 10699, 43240, 128018, 243340, 279841], 'euler29': [1, 10, 71, 420, 2141, 12180, 59711, 243890, 707281], 'euler3': [1, -3, 6, -9, 9, -27, 54, -81, 81], 'euler31': [1, 1, -30, -61, 869, -1891, -28830, 29791, 923521], 'euler37': [1, -5, -12, 245, -781, 9065, -16428, -253265, 1874161], 'euler41': [1, -2, -37, 156, 1205, 6396, -62197, -137842, 2825761], 'euler43': [1, 32, 556, 6176, 48214, 265568, 1028044, 2544224, 3418801], 'euler47': [1, 8, 17, -240, -2719, -11280, 37553, 830584, 4879681], 'euler5': [1, -1, -4, 9, 11, 45, -100, -125, 625], 'euler53': [1, -6, -17, 420, -1619, 22260, -47753, -893262, 7890481], 'euler59': [1, 3, -50, -327, 1969, -19293, -174050, 616137, 12117361], 'euler61': [1, -2, -57, 236, 3005, 14396, -212097, -453962, 13845841], 'euler67': [1, 12, 322, 2520, 34251, 168840, 1445458, 3609156, 20151121], 'euler7': [1, -1, 1, -1, 1, 0, 0, 0, 0], 'euler71': [1, 1, -70, -141, 4829, -10011, -352870, 357911, 25411681], 'euler73': [1, 10, 27, -460, -6571, -33580, 143883, 3890170, 28398241], 'euler79': [1, 6, -43, -732, -995, -57828, -268363, 2958234, 38950081], 'euler83': [1, 12, 61, -264, -8231, -21912, 420229, 6861444, 47458321], 'euler89': [1, 60, 1706, 29520, 338451, 2627280, 13513226, 42298140, 62742241], 'euler97': [1, -5, -72, 845, 2759, 81965, -677448, -4563365, 88529281], 'euler_factors': [[1, 0, -2, 0, 4, 0, -8, 0, 16], [1, -3, 6, -9, 9, -27, 54, -81, 81], [1, -1, -4, 9, 11, 45, -100, -125, 625], [1, -1, 1, -1, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -4, 3, 40, -199, 520, 507, -8788, 28561], [1, 2, -13, -60, 101, -1020, -3757, 9826, 83521], [1, -6, 17, 12, -395, 228, 6137, -41154, 130321], [1, 20, 242, 1880, 10699, 43240, 128018, 243340, 279841], [1, 10, 71, 420, 2141, 12180, 59711, 243890, 707281], [1, 1, -30, -61, 869, -1891, -28830, 29791, 923521], [1, -5, -12, 245, -781, 9065, -16428, -253265, 1874161], [1, -2, -37, 156, 1205, 6396, -62197, -137842, 2825761], [1, 32, 556, 6176, 48214, 265568, 1028044, 2544224, 3418801], [1, 8, 17, -240, -2719, -11280, 37553, 830584, 4879681], [1, -6, -17, 420, -1619, 22260, -47753, -893262, 7890481], [1, 3, -50, -327, 1969, -19293, -174050, 616137, 12117361], [1, -2, -57, 236, 3005, 14396, -212097, -453962, 13845841], [1, 12, 322, 2520, 34251, 168840, 1445458, 3609156, 20151121], [1, 1, -70, -141, 4829, -10011, -352870, 357911, 25411681], [1, 10, 27, -460, -6571, -33580, 143883, 3890170, 28398241], [1, 6, -43, -732, -995, -57828, -268363, 2958234, 38950081], [1, 12, 61, -264, -8231, -21912, 420229, 6861444, 47458321], [1, 60, 1706, 29520, 338451, 2627280, 13513226, 42298140, 62742241], [1, -5, -72, 845, 2759, 81965, -677448, -4563365, 88529281]], 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/847/2/f/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': '8-847e4-1.1-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': '8-847e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.6006401233547196, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 718417332881815910, 'z1': {'__RealLiteral__': 0, 'data': '0.36429114385404090000695432094', 'prec': 103}}
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{'Lhash': '461793887164403209050712813994,1984683151646637901390342766980,2024414533433760016094655146798,2240147705387449154628297916719', 'Lhash_array': ['461793887164403209050712813994', '1984683151646637901390342766980', '2024414533433760016094655146798', '2240147705387449154628297916719'], 'label': '8-847e4-1.1-c1e4-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/847/2/f/i'}