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{'Nk2': 22440, 'analytic_conductor': 44.79607553393829, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, 1], [11, 1], [17, 1]], 'atkin_lehner_string': '-++++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5610, 1, [1871, 3367, 1531, 3301], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [1, 1]], [13, [-4, 1]], [19, [8, 1]], [23, [-1, 1]]], 'hecke_orbit': 26, 'hecke_orbit_code': 112589990717822442, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5610.2.a.z', 'level': 5610, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 11, 17], 'level_radical': 5610, 'minimal_twist': '5610.2.a.z', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/5610/z'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5610.2.a', 'trace_display': [1, -1, -1, -1], 'trace_hash': 755672634384294087, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.997', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.043', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.237', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 4, -1, 1, 1, -1, 1, -8, -1, 1, -1, 1, -1, 1, 4, -1, -1, -1, 1, 9, 1, 1, -1, 1, 1, -2, -8, -4, -1, 8, 1, 1, -1, -1, 1, -8, -1, -6, 1, 1, 4, 8, -1, 1, -1, 8, -1, 10, 1, -2, 9, -1, 1, -4, 1, -4, -1, -1, 1, 6, 1, 14, -2, -1, -8, 1, -4, 0, -1, 1, 8, -4, 1, 1, 1, 1, -1, -4, -1, -4, 1, -9, -8, 8, -1, -1, -6, -1, 1, 2, 1, -1, 4, -1, 8, -3, -1, 0, 1, 2, -1, 18, 8, -1, -1, 4, 10, 1, 1, 1, -2, -8, 9, -1, -1, -2, 1, -1, -4, 0, 1, 8, -4, 1, -1, 21, -1, 21, 1, 8, 6, -4, 1, 1, 14, 6, -2, 12, -1, -4, -8, -1, 1, -9, -4, -14, 0, -8, -1, -1, 1, -15, 8, -1, -4, 10, 1, 3, 1, -8, 1, -14, 1, -1, -1, -10, -4, 6, -1, 5, -4, 2, 1, 2, -9, 1, -8, 1, 8, -15, -1, 22, -1, 4, -6, 24, -1, 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-0.18035242288312997, -0.2350270398372527, -0.19194800431109457, -0.37625963269943413, -0.08177740532216732, -0.1176501554943155, -0.19220335829802437, -0.2141020860361851, -0.1249724359289445, -0.3235580651725156, -0.25, -0.3334438454496987, -0.15270019763654022, -0.22637921801866925, -0.31650528958309176, -0.2470710434934429, -0.34654395923655135, -0.27940546064549293, -0.10525891131832077, -0.20105363866587428, -0.3270882370300409], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.0, 'hecke_orbit': 26, 'hecke_orbit_code': 112589990717822442, 'label': '5610.2.a.z.1.1', 'level': 5610, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [5, 2, 2, 4, 3, 4, 2, 4, 4, 4, 3, 4, 4, 4, 5, 2, 3, 2, 3, 5, 3, 4, 5, 1, 3, 5, 5, 2, 5, 1, 1, 7], 'Nk2': 22440, 'analytic_conductor': 44.79607553393829, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5610, 1, [1871, 3367, 1531, 3301], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1281, 'dim': 111, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 13, 19, 23], 'hecke_orbit_code': 33560042, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5], 'label': '5610.2.a', 'level': 5610, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 11, 17], 'level_radical': 5610, 'mf_dim': 1312, 'mf_new_dim': 111, 'num_forms': 63, 'plus_dim': 44, 'prim_orbit_index': 1, 'relative_dim': 111, 'sturm_bound': 2592, 'trace_bound': 13, 'trace_display': [-1, 7, -1, 8], 'traces': [111, -1, 7, 111, -1, -1, 8, -1, 111, -1, -1, 7, 2, -8, -1, 111, -1, -1, -4, -1, 8, 7, -8, -1, 111, 2, 7, 8, -30, -1, 0, -1, -1, -1, -8, 111, 26, 28, 34, -1, 22, -8, 36, -1, -1, 8, 16, 7, 119, -1, -1, 2, 26, -1, -1, -8, 28, 2, 20, -1, 18, 32, 8, 111, 18, -1, 60, -1, 8, -8, 8, -1, 6, -6, 7, -4, 8, 2, 64, -1, 111, 22, 44, 8, -1, 68, 34, 7, -26, -1, -16, -8, 16, 16, -20, -1, 30, 71, -1, 111, 26, 7, -8, 2, -8, 26, -12, 7, -30, -1, -6, 8, -2, 12, 8, -30, 2, 52, 8, -1, 111, 50, -10, 0, -1, -8, 32, -1, 36, 2, 28, -1, 32, 28, -1, -1, -10, -8, 68, -8, -16, 24, 2, 111, 2, 86, 79, 26, 10, -1, 8, 28, -1, -8, 32, 34, 2, 48, 10, -1, 0, -1, 60, 22, 7, -4, -40, -8, 233, -1, -4, 36, -14, -14, 8, -1, -12, 38, -36, -1, 42, 16, 66, 8, -38, 0, 7, 16, 8, 12, 32, 7, -114, -34, 18, 119, -6, 7, 24, -1, -36, -6, 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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 112589990717822442, 'source_is_minimal': True, 'source_label': '5610.2.a.z.1.1', 'source_level': 5610, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717822442, 'target_is_minimal': True, 'target_label': '5610.2.a.z.1.1', 'target_level': 5610, 'twist_class_label': '5610.2.a.z.1.1', 'twist_class_level': 5610, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3947675
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 2}
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id: 3947676
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 3}
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id: 3947677
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 5}
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id: 3947678
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 7}
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id: 3947679
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 11}
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id: 3947680
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 13}
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id: 3947681
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 17}
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id: 3947682
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 19}
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id: 3947683
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 23}
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id: 3947684
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 29}
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id: 3947685
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 31}
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id: 3947686
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 37}
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id: 3947687
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 41}
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id: 3947688
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 43}
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id: 3947689
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 47}
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id: 3947690
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 53}
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id: 3947691
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 59}
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id: 3947692
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 61}
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id: 3947693
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 67}
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id: 3947694
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 71}
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id: 3947695
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 73}
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id: 3947696
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 79}
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id: 3947697
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 83}
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id: 3947698
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 89}
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id: 3947699
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 112589990717822442, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 26, 'label': '5610.2.a.z', 'level': 5610, 'portrait': 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Vy0OQYDkYbj5wO6A0OrJqh7AkmC76e06imdvsfxOQi1hzaGvZsjuv2UMwsOU02XCzcnbN/Qo1EPEdIQRYJ2v8Z822OqLnCly5k5j0OnBcfOJZxYTPBrfV55bY83XAe+nOTA8RYnzivO5sw9bzi4YHjhZfP8/DuX2Tw1yfGz05xbrDG37DK/JFlcSVhox8wvJxybM4Suwy++29cvufrqj7vuxh9N00Fn+55/9K2GxF/p9nca4EtLbU6tGFo+vzJ//ukXb1EflV95pPPiB5897fz775EsLG/k/GKTuaWA+RWHhRXB0krKUjtmsZ1ydgWOLArWr1vhF75/kRftrnPy/DRn5hqcWXA4v2g4t5Bwaj5lrpswOT3kJVf0uH4veLKGr3zOLwWcXXA4tyToh5AkmsDTNIKUqYkEDRw/l9DpwY4NLo1aiDEChEdvoNm+MWRxxQFjpchKD8IEDIaldsSW9S7dgUIog9AhrcBl+6YhK33B8TMOqXaYaUmagcB3IUkE/VBybklydtFwfjnB94fgJtxwaY8XXyaYbdVYXG5x8rzPmQU4v5Bwfinh9BIcXjS88NIF/tP3L7NpssWJc9OcX6wxv+KxsCJYWNYsdWIW2wkLbcPJFcWZbp+ffscx5jsXJQ/t33jfH733tfrii/beJ0T07+OwhRe0vtVQed7b39kg83c+8Emmpyc4e3b+Pb/3sXv+9efvutt/1VWnWFrucfGOhIlJGAyHtOouUSyJU0GqHYxRGMAAiBQpDUcWpvhPfyx4zw+f55qdEc3aNI1ak1bdp1l3mWwpzi8qzi073HF/wBfuTbh4W5+9FyYsLQ+4ZFvId79WEycKgeEvvhEw1w6opSHHzip6vSZXXpQy10nYd8Bl9zbJwTNwwx5odyHSDr4Tsa4Bz52uUa/F+CphoilY6cJ1l3Q5fMpn9w7N0TMhzxy2/567bcjh84aJZshSJ+Lzd9QxQpGmKTdd3efGawznVlyu2TVk12aXJG7RH9TYdyTg3IJgfjllbjnh/JLmxJLgfC/i6t2L/Mfv7bG+NcXxs5OcX6qxsOKysCKts9KL6fRSOn1DeyhZiQRhx9DuCnZvOeDMTpx5uVg+zNKJ195YW/cGXW+2/sOBJz7Fnqve8q2GzJq3v5MM/tE//TSvuG6b+tgXD/zHo8fP/YcHnjyuDs/H9CNNHA659KIVfvOfLfKCi2qcW5xicaXJYjtgqe2x2HZY7sJyO2W5k7DUTVhow8llgVMbcuNlS7zj5RE71zdY6bWYW6oxv+Sx0BYstTWLbc1yV9MZaDqhoT9MmGnFbN+gAYHvGk7NuQjps2O9Yudmw+b1fc4vhzxxsMkLLjbUa8s8fWiaZiMiilxmpjSDIVyyfchH75xkz7aEMDSsm5DE6YBm4PPMsSE1t8HVuxOePBJxftFjy4zPzk2wfWOEUjGnFsBzDUIYdmxImGpKugOfXt+l03dZ6iiWVmCxrVlqpyy0U861YXGYsn1Lj3fctMCNex0Ct8XZhRYLywELKw5LHcFyW7PSjVnqpix3DYtdONtVzK3EXL/3LL/+z+e5fKei16+x0m2y3F2H8PakXm3Te46ev/IXN0weTl9809892fJ3CuDPPfccQRDUzpw5vf3Rx55++3OHT//SMwdOMogUK0PB0kCyMBR0BiEvvGiO3/inS1x1YY25pSkWVxosd32W2h5LHYflDqx0NSvdhJVuwlLHcL4tONMzIHq8+aVtXv8izYWbAqKoznI7YKXn0e4qlnuCbl8wDA1RYkhTUNLgu1DzDZMtw/rpGMcdcvhsxFOHfHTS4LXXRTjuCo/sm+CCTfDFBxNeernPXHtA4CiSNGZ6CpLYxXETFhfrvOSaDl+8v8nOTfDwwRCXOq95kSYRA546nHL0VIAjPTZMOUw1BDVf4HkCJSDREMWGYQTdvmGlp+n2NSt9zWLPMEhTdmzt8/rr27z5xRHoJosrE8wt1Vhsu/Y4tWGlm9LuJax0U5Z7muWe4ExXMd9JuHb3eX7tn85xxU6PdrdFp1+j06ux0vVY6Uikvw3H3/yzG7bs+bNt27aeGA6Hg4sv3v2thlJx+zsD8KNHDzE7O+sdOnjohw4eOvi7jzzyhJhf7MjuQNMdGLoDQ2coWBkK5oeShV7EdRfP8d53LfGCi3wWViZZWGmy3PFZ6Xosdx1WuoKVrqHTS1npJrR7muWeYa4rONvWTE32edULu9ywN2HHBkWr5tLpBviuBBRRItFaoA30h4DQTDWHHDxt0Cbi9ocbhP0aF23xuPGKPrFe4e5HJ7n6YpeD53q0l1tcf0WfOx7x2TBt2Hfc8M+/o8O+Yz4bpiVfeVRx4yWKpX6HIyenuXp3xN1PDUjCOjdc6rFr25BB0uO2RxSkgsOnHFp1B0dAfyDRRpBqQ5wAUuN4mnbP0GjGbNsU8uJL+rzqBQkzjYDzSxMsrtRY7thjs9wRtHvQ7ia0ewntXkq7b1jqSc52BQvdhOv3zvGed81z1YU+S50WnV6Nbj+g0/fo9F06PYeVnmAYB/qii68wOy/c9WMXXnjRhxYXFqLdey7+VkMK+DsCcK0jGUeDNz7x8Bcvml/Sv/bgg4+4w8jWRvcGCb2Bpje0QO8NBe1QMD+QnO8k3LB3jl991wLXXOSy0plgfqVJuxtYhuk5tLuKdh+6PUOnn9DppfQGmnbfMN8TzPcgTkOuvHjAxumUXt/wuutDLtioSVKJIw1RDHc9EXBiLmDTVMLThwPQdfZuVVyzR+MHfR452Gd+ocFlFzRoTS5z/5Mu114csNhfYXm5xcaNhgf3Kb73FT0e2uewdb3LQq/N8tI011zS5/6nU6Zrk1x2UY+5dpsHn52k5jR44R7D7u1DkD2eOCpYPx1zfj7m7idchrFCSki14YJNEa+6PqLbU2ye0lxzMURRnaV2naW2z0rPpdNXtHuSTg86/ZROL6XbT+n0NSt9WBoITrcF7WHIjbvn+c/vWuaFuz3mFido92v0+gHdvkt34Nh7X9LpCzq9lP4w4aqrXhgPIvXvvvvt336o2ax93vdc/a3G1rc8yBwMBgwG4ffPn37oN5fmDkyfOd1moilxhgIhTPZbCUKAFBqlDEqBIzWOdHjo4AZ++g9cvuPFS3z3K5bYuTni3GIL36tR8z3qvkuj5tCtSZoDl4mGQ3+Y0hukbAg1g9DQHfoszQecOmmIEs3pcwm+bwCBpwyOFPQHCoFL0ne46gLBrs2G7Vv6hGmXLz2k2H9oile/wOeaS5b58JcMnqhzwZY+T96v2DKpWNfqE6gaUewy14VG4LB1g+Dx/RHX7K7x8qsX+KNbB3huk1deZ3D9Pl99MOKLDzR49miNCzfXuWBTyuxUxM51MZdfkKKUxlE2pK77PrOTPlHs0u17PH3QpTd06A8UvaGkN4De0NDr2+/eHaT0BobOwLAygPm+4tyyptFq8y9eN88/ujHkyp11zs63aPdq9Poe3YFLb+DQGyq6A0mvL+gPDWFkGEaGr979oOvXZn5z/cYHl15/y3X/etDv/1GtXv8/F+BJ1ANhfuTMsa//yrEDd0yH/S6NIEBrEEjsAmOTrUKkSAlKapQwKGlwpcFXkicPreOxg3UOnpnjO17c48WXDplstlhq12l0AloDj17foZud7MHQoR86DEPDMNJEsSGODUlq71HiYTRIJXAdQeAJJpuCqSZsXKfZuqHPuqk2X34E7nnMReoJXv0Cl6v2drn32Zho2OLGqwTtwYC5xQY37Nasm+xTc3yGiWK+E6O04KrdDvVmyKMHAl52zQTXX9nl0QMKzAQvuNTjh9+wxB2PR3zloQb7TgRsn1VsnK4x1awz0YSaD65jUBK0gX1HBWkqiBNBlEAYY79jmDIINcNQ0x9q+qGmN4BOCPM9yVwXQj3glquXeOOL23zPKzVJ0uLcQoNOP6A38OgOnAzckv5Q0htYcPeHKf1hymCo6Q00p+bO8pGPfXk6jPR/efMbXu60O4M/mGjV/s8DuDGngd4PDxa++iuD+TvXuyKkUasBKakRGIS1+hAIoZAClAQlRcFcrjK4SlNzBAv9Gh+7cytffazDSy9f4Z23rHD5zh4zk3UWV+p0Bz79gZsBW9l7JAhjSZwIksQu9SZbNJQ0OA4EHtRrmulmzJb1fRJ6HDwd8/G7A46cbDDp17j2Uocbrujw4HNtbv9Gi+suDti+qc9H7xQo4dNqxqz0QrQBJWC21afT9dBJjTe+dI6PfbHOrvMBr7+uTxQvcvdTM8RpwIsuXc/rr+1w8bY2X320z5Mn6zxx1GPrtGS6Jaj7As+1F6EUIIRBG9DaECfZxRobwtheyMMIBhF0h4LlULDUBeEMuXrPCu981QovvTRlphWw0mmw0q3RG3j0BvlKkINb0A8tuAfDlEEG8H5og93UKI6fa/Obf3TH+mNL+le+69tuNE8fXPjDyy/+1tSy/P8O8P/xPz/MQwuz/Ov/8vAPKHP2177titvXXbalR9qaQgiF1pBqkRnZEiEkQgikVEglUDLFkQJHalxH4zkGzzXUXMHyULG4MsWffa3BA0/3uPHKFd75yhWu3tVmJq2RJD79YUBv4DIIHaJYESeSJJWkWqCNQGCQwuB7mnqQ4HsRnhtyejHk1oclh055HD01hdI+uzZ5XLJT8YK9HZQ/z1OHm2yZrHPZhbBxdpmlTovLt0gSbfjyQz5hXzLZSHjNi4Z8/u6YE+ea7LnI5ezKkGeOuGzbMMWVO+e598ku9z8jCCOPvTun2bvNZ+/WLofPLnHoNDy0v87BIw3qjsB3JA3fELggpV3zjLEXa5JClECUCnqhoDMUdGKIdII2Q154cYd3vqrDSy9P2TTtMQxbLLZrdPs+/YFngT1U9IeKwVDQH0oGoY2NBmFq78PUvh5qBiH0Q0E7dDk1v8SOhz+x/gdvfvLXtk6tT8zw/R++974GL73le//hAvzzf/EpfvKX7uInf/RF33P3oyd/+3P3HJ/s3tLjZ94Z0agPiVOFNgJjQAgy3Q1SSsvcUuEogeOkOI7AdQWeo/FcQ+Aa6l7KZCDohi7LnSk+dU+LO58YsmGqz9tvarN325DhoMdlOw3bNirC2CVNFamWmBzcUuM6KcfPG46eE6wMNJ+7t87phSlM5DIVKDbPOOzY6HDhFrhsVwctF3j/5xssLU1w3V6Hy3a1+eoTApG4rJ+SNOoJ/dhDGglGohyP9lBwfklwqalz0wu63Pdojc3rPK67bJp//IYFPvTFLg8daNAbuiyuNNm5ucaeTX1etLvLd76sy5mlJT53r89i3+f4WZfTpz1cJZBSIhBoY0g1xNqQJpqpmZgrLu0ThjF7t4W89aaQ9ROK6aZPHAecnQ/oDzz6oV3lBkNl75Fl7UEoGIbYlSAD9zCLYQahph9CLxJ0QsFSKGjVE1555XGc4dy6x5+67rcH6cXxK6488ief+MQneNvb3vYPD+D7Hv0oe6/xRDO44W37njv7gc7i6bpUkk/c1eSHXneei7eGhJGLzsBm/R2DEE6mvSWOErhO/miB6DkCz9UErqEWG+qRYSJImaoJ+pGkGzU4eqrBe/9kGnSCSBJecEWfnRsjkgS00RhjkzhSCKQSOK7HgRMe+w4FNAKHpidZVxfMzkjWTztsnlXs2JSyZ8cKqVjkv3+mxfETk1y322XvBSmDpMs3nvKZrLnMTBgmmxH1mpVCWkvaQ8VSz7DYTmn3arzkshUe3tdn/wnFZCvgRZdO8q43LvI7n4VHDzXoDQwrXYfzSy02rquzfmrIjpkhP/m2Pq16myePwoGTEtc1KGUQQgPG/s9AksAFG1NuvDwhjV3ixMeYOsPI5dyCxyC0K9owUoV8G0SCYSgYRpa1w8hq+TDSmdzRDEPDIMqYOxL0I0EnlqxEhqs293jbzSHhcJJDh89OLgzqHzhwYlvywIktn/iN3/lT8//88+/+hwNws/zfYXJFLR2bf/OE1/7w+sbZ4KZrY47MD5ic6DM7HeM5EYEXorXI2DRjcGlQysGRBjerjXaUwHMVnisJI40fpYSxoRZrwlgTRYZWAmGsCROIEsEwloSpT5wG7D/U4In9kBqDhbbVxq4ET9maj6YPl22CVg0mGpKppmJm0mH9NGzfGLJpdoXYLPHfPzPB4SMTXHOh4sKtkl1bl/naMwnnFyd4wU7JVEsTeAN86WOUIEklwhiSNGK5F3B+0eWavTWu2t3l3kcDNkwJ6kGTa3Zr/sWbF/ntz2qeOd1kpadZ6Srmlx3WTTaYatWYak3QqsfMNmJ2XBPhuwmuk6BUiswcKIO9qOJYMTfvECeKOFFEsSKMs8dIEsaSMJIMI0kYCRugRoIwMoSRPa5haI+zBbnV3MPYgrsXCTqRYCUGncYsLyc8c8wwUety91MxR04cqm/cGn/YnUTfeWbbZ77nZz6Z/skvv/XvP8B/7Bc/yKt+akK99cUn3/rWG/f/0aaJY8GGKxq8bmIF5UU4rmbT+gjHKPzYseyNtQilNDjS4CiDIxWOo3AdiecKexJcQegpotgCPY4NUZJaVySp3FNIUkOaatJM42tNAW6RBbCOBNcF3xEEvqDuSxp1xURdMjUhWD+dsGNjn2Zjhc/cF3H3U9OsLLS4YrtixyaXi7cNScUKX36oTsN1mJ1SNOtDnjoMzx5xuHyboR8qrrw45opdhnNnU+aXPQbDOq+9tsvXnxxw8LSiUZP4XovLL9T84g8sctczAz5/1zoWO4Yd61OW2w6TLcVEw6VZd2nUDIGv8T2N76Q4ykotKTOCMdiElRYkWpKkgiQRxIkkSgRxLAlj67xEsSCKDVEEYZwSFaShLbhjawuGMQwiwzAW9GNBNxIsxZJ+nEAyZG7O8PE7XKTSvP9LKesaHu0Dh4PrXzj8yH/+kbM/ePPN4pMf+pe/nvobf/LvN8B9py53bxx81yfvWPq9o88dCV51XcwFm/o89oThoX0ey22JjuF7XxPSagiExTdSamsJyhTHcW1A6WqGrsKLJZErCT1BFAt7cmJFnGALrxJDkpS2X5Jq0tS6C6nJnJLMLbEBrHVnHEfgOQLfkwS+pFETtOqGyaZmw3TI7FSXxKzwia9LPvTFGdYHAVdsF2zf5HLBZs2OTct85huGpaWAvRsVUy1o1mPOH5PMLft4OyGMBbMTkslJOHjUsNzRnFsIuPiCgFe8oMut9wTMNMH3PJSc5PJdgne/fg5XzvEX907x7OmADZ2Y9ZMJEw1Fs6ao1yQ138H3wHfBcSwpyCyGKUCOyIJ4SFNBkpIBHeLUECUQx6klhVgTZY9hrIljLLgTC+5hLBjGgkEs6MSCdizoxQl6MKAV9Pje17Z5/Q0RiyspR07NcfRUjSt3h9x06aFg9+zuDywdu9RJjf+nWJ75+wnw3/vgZ0lS/QNfuPvwbzz8xHzr7od28tkHumydGnLkrODoaQcSw1cfqTPfXuHH3tJnspkSuCntfoqSKa7j4UYa13HwHIXnOoSxJMqY2zKOsEyUsVKSQJxCmlonQWsbcGlt8h7ODNwW4EqJTNdbgAQ+1ANNs5Yw2UyYnRywbmqF+/ZHfOT2GgeOTnLBhMuujbB1o8fWDbBne4d+0uHBfS1qymV2SjHZhMlmyNREguc5CGEvrkHosdSJWekb2r2EuWWP7RubXL93jtsf6nPgdIu6H+MqDyEm2LVF8X2vXOCFe+b4yO1NHnx6ksWew/pWwmQ9oR5IaoHCdwW+K3FdgaMkSpHZhxblBtvDqjUF0JNUZ6ubJYU40SSpBXcSQ5SY8h7bUt8wscDux4JuIukkhnAQY+I+M/UuP/bWJX7ye7tMNgU6SbnpykWOnXVYPyXYuclhpXOmtTic+u+yfq13+JnPfGjXZW/++wfw9kobpdSP/N4ffupX5s+cmtnYgnZku2YOnjBoqaGegklZiQN+/eMezx5u8+0v63HT1T02zER0uzUGYYLruHiuh+862bKpiGNFmEjiWBIldtmNk8zTTsmsPzLmlmhDCW6bpMyYGxxlEyaeawg8TS1IaAYJU62QTes6nG/3+d3PuXz54WmWlhtcNCvYvl6wZb3H1vWCnZuHON4KH7vb4cjJBrs3SKaakolGipQhp+cNviORAowRRLHDjvUdHiKl01csdwznl2rs3hrwnTe1+eRXPY6d93GdGCFctGkQJ5IX7Fxmx3d3+PKjfT765WkeOdZgy5RgXSOlEaQEnsB3BZ4rcR2Bo7CBsxRFTYbBXmTaYJ2W1AK+AHlqJZ1dBSHKmT0RJbgT6CaSbgzDKCXth2ydbfPya1Z408v7vP7aBF8GrCy7aK3YOCXZNC0ZhB7zSz69gUenPz/TnB382p4r36J6vc4fNBp/OzXlfysAn1tog3T/8Sf+4u5fuf/hZ9Z7jmYikHhKU3cEg1QQakWkHaLUECufduzzsTtr3PVkl2v29vjuV/b5tus6zEyE9IcBgygmdl2ixCGMHeLEIY5twBSnkiSxNeFJIklTQapFqbW1KGvETWk/2rS/TRZ5rsb3Ump+QrMWsm6yxyAe8NWnDB//2gQPPj3JlOdy+RbDpmnJhhmPzbOSrRsiLtyyzJPHBnzu67NMKIfZCUGrIWjVY9r9lC9+I6DpGYSwwBqEDm+8MeQLD9iamHZPM7fssHV9k+94cY8H93fZd9Cj4ScoKSzIdZ1hZLX+972ize5Nc3zsrg73PzvJieUaG1uCicBQ9zSBo/FccJRASXshy8x2zcuPdCbVtC5XuCQDuiUIiFNBnGZZ0VQwSAT9RNBLIYw0SRTRCHp8x2uW+e5XdrhmT8rGaUkYNuj2XJLUIUlVdney4NZlmCXb4vPPrF84ve5Xtuy8Scfh8gddf+rvNsCXl1dod3t4Lt//xdvv+fVPf+4rM8vLbTxHIrApZVcZaqkgSm0CItKCQSoZKJ/Y9TjV8TnzQIMHnurzycu7vPWWPq+5cYXpCY8o8ghjlyj2LMATe9CSRJGkWcImLQGuTcbcuqwpE8JkQaXNhjqOxnNTfC+m5kc0awNSBtzxqORP7pzk6aMTiNjnginDpknDuknF7LTHxnWSzbMx2zd2ODnf5fc/3yAJa2zdKphsOrQa0KrHCDeiM2gw2TQIYT3+OJFM+4pEJ3Rjj24/ZbmjOD1f49ILm/zot6/wa3/qc3y+gaPi7MJwSJKAYSTZOOPzgos6XHFhj2eOn+bjX6tx+yOTnGnXaPiKpgcN1+A5BleBI+2xF2K0uk4DRtuLLtWC1ECSCuufZ+coTC0hDVMYJIYkidFxxEww4LW3rPD2Wzq89PKEyZpDnNRZaXvEiZudEwvwODs/FuA2wZamkjhe4tC+O9cPI/fXN++4IVlaOPO//KBBvfE3Nz/xbxTgg8GAyVbjTffd//Dv3HbbV1pp1KZVV6Tapr5Vag+4l2IDG22Dm1oqCDUMUsFA+YSJy9ww4C8erHP3MwNe9JUuP/6WHpds77J+UtFqOESRR5S4JDnIU5WBW5JqiTYSY6wkMEVAWRZsOUrjOAm+l+CqiM4gZr4T81ufCTg6N8Wj+yYx2mOmJli/zrBuQjDTUsxMumyYkWycSdgy22dmcpkvP6Z55NlJrtgqmGpKmnVJq65p1CKEG+L7Do6yf98YSFPJIHQYDGMSLegONN2eYanjcm6xxQ17elx/6Qof+0pAbUnhyNgC0jgkqUcUSwahy7rJgBfu6vHCi3o89PIzHJ+XfOT2SeZW6pxa9PGUpOEKvFyGSRt4FkSeSxUskydGEGtItCBMYZhApA2kCSQxUoVsnhpwxQU9fvw7u1x7ScpEzSFOG7R71fPhkCSKOFUkicwY3FqVcQb0JBEkqUO7N+Tc4l0zl0be71x40TXLw+Hgc3+TmPwbA/iRw4fYtGmj+vjH/+yiZ5490AqHHSabbuFoxKnAScFJDW5qiJVdBpMKyOupIdSCgSMZuD5h6rEY1bn9kRb3PTuk4Yf84OvabJtJ2LF5wA2XdXGEoll3QGQA1wqjZZYRrTA3BiENSlgv15CATHjmqOTh/Q63PtjkmRNNoqRO01HM1gzTDcNU3VgfvOUwPeEwMynYOJ2weXbAptll7n465P23rmfTpMNsC1oNRashaNYTan7Ifc8phpGD27CgMkYQJZLAUVy9e8ADT03awqdBykrHZWHF5/zCFD/6+vOcWljkgcdncSUgYjSQJA5R7BJGkt7AYaoZMNlqcP3uPi+/os933zzP/pOaLzwY8OD+Gs8daZAIhzBU9GOFykofRgPPLCdgNIk2GK1xRcqEFxEQc/01PXZuGrJ1Xcw7XxNS8yTNmkMU1Wj3POLYzfz1iiQpWNuSTiEjE5mB3FqVUSzpDbp07r+vdfzE3EVv+Pa3qMOHD6W7dl30dwfg+/c/S3Niwnv8sUd+SJL+Rq+7QrPuEiVWCsQSVOZFO5k95aaGROd6T5Bog5eCn0JNG6JUMEwFQ8dlmLr0dY1uN+XXPzaFSWI2zA65dPuQmYmEt75iwPb1EXEsMr0tocLc5Gl/qRFS8Km7ajx5uIFwHI6fqXP6fJ2gppjwBZMNQyvQtAJo1gQTdUWrqZhqOsxMwrrJhA0zQ7as75CaFT719RaDXoOLtxpadUWzLmnWNM0gwXUjvvxAQNiXuOtBZmCKE0mjpnjtiwbc85imF0p6g5RO32Gl63Busc4lO5u89aUdHn2mzvGlJkpqIM70skucKsLYJmZ6Q4d2z6NZq9OohVyydch1e4acnGtz7OwKjpvyxBGHT36tjlDKglvI0ZNoNKAxxpBEKTs2JLz9FQPWtVL27DBsmIE0cQmjJknqstxxSkAnTlbTk4NbFpLReu7KmgBZjGSNgLzqURImkuVzS7Smo9949JFH+hfu3PmhA/v3RXv2XvJ3A+AnT55ibm5+99mzp3/30UcfllIKfE/ZZE0WzFlf2rJ2mhoSnbsdpigMskFOGezUtSBOIdKCKJWEWhJpl1jDfK/F157UGFL+/MEYIVJ7kowmR7Yhs8iErUgUQiKVIokdpHZwHUnTh52zhoarqfuaug91X9CoSZo1RavuMNGUTLVgZiJhdipk82yXlGV+69MB9z61nl0zMFXP2LsuadYS6rWIRn1ArVbHVxIlMw2OlQNx7DIcCAZhSjdUWUOHti1zDY9T5yd4yaUh/+Jt5/nNTzqcWPERQmNMjE4NcWKbrYehS2+gaA4cGoFHvRZQ9+sEfkyzFvGCiyM8N+baixPeeUsfRyVZEkjbevuqKM8knda2yM13FeAxDB0Wlx1bt5NJwTJ4HI1/SnCLUZDn9yQHem7rCuLYFoc98sjDUin1u1E0/HoYDp/+m8Dm/2eA//mf/zlSObXDhw+/+fChgwJha0UMArDZNJXY+m0ns6HSjLEtuAVpavseE51VweWJiOx5ovP/BhIDsRbEWpIYSaodYu2TZrZX9VZkKQU4QthMpYKgZggcQ6BSfBd8BwLPUPMFNU9Sr0nqgWMB3hBMNjXTrYSZyZD10z02r1/k/bdqPnr7BrZNKtY1Na2GollXNOpQr6U0azFnFzWHz/oEno1BIK/0Ewwjh50bNRvXDekMPQZDk7G4ZKXr0KwFNOuTvPOWOY6cPccHPrcFRzoYNKlOSbQhThzCSDGIFINQ0g8k9aFDzXep+Sntro0xPDfFdVJcN8WRtlFCSpvOF9ndlq7YLJsFuaCtsypLncU1WXyT6gzM2esC3KkoH7XI3mcU4KklrRzgSRaPpdoWij377FMiioZv3rHjgsNfuPVzg297w5u+tQCfmXS8Tmfup5cWz/+01pH0XOtcCAlK5FWAGpX5rE4mTZyUzO2ogDwDuAV79tpQJGnyNHuqs7pnA9qIIlCqam7IKhGzVcR2AJHVkYOrBK5jrG/sCAJfEniSmq+oBYpmTdKsGyYaKZPNhOlWyLqpPts3LPLgcyEfu2szU4HPhqamVRcW3DVJI9A0goRmPeTBA/DE/joXzZpM95Zp80GouHaP4eLtAx56epJ+aOurewMnA7lLPahRCyZ5x8uWeOK5OR7YtxGMQuvUEkFiSGJT1JMMQof60FALFIGn8T0X30vxHY3jpLiOxlEapbTdgkXa0mBEWX1vAZ4H5yI7viJL9cvSfk3z5zLLigoSLdAFuEXhZiV51jR7zLOocbai57X4WkOnO5Cnz5z7j1IFXlCrvweIvmUAHwwGMgqHv3D7F//kXw+657xGzSkyZFoLEimQqUElAqWyWpAM5KkyGZgrINcGrfPXVP6t7Lkx6CwTlycrTFYwld+qEJdFuW3ZLOEoYQHu2EYBL8v++Z4i8BU1X1CvCZo1Q6ueMtFImGyGzEwM2Dy7zAMHBvzCH23gxKlJLlynmaxDq6Zo1BSNABpBSi2I8dwh7aFBSYWrDFKWnyxntzjxaNVi+oktNx2EtkOm25e0a4p61yfwm1ywMeYXf6jNz39Y8o19GzAotNGkqSZJE6JEE8WKYaQY+JJaqAg8ie8ZfE/hOxrXtX6/o4wFuLIAV5lMEcKsatDNS5e1EZislsU2OouitsWSjmXqtKh3ycgrrTwvJCkZq5eee5rJVK01WsPBwye91Pj/7kf+8TvdwaD/s7Va/a+dzv9rA3w46GBM9J7nnrnnX3aWTwRTrawGJPuidtSCBVWqRMbgOVPrypeqfsGcnUXxM11JRpQHnIxlCrld4Z+yljyXJ7LoBLJ2mZO1ormOxPcknqsIfDuSoeYbGoGmWU9p1WMmmhHTrQGbZ1d4YH+fn//QOg6cmGbHtHVYmjVJoy4te9cM9SClHsTEacQff6WJVApXGpQobUJtcn3q8n2vXua2RyK6kU8/A3hvoOj2FG3fIfB8fLfFnm0Jv/TDi/zchwT3P70BbSSptmn1OLGFZmGkCQNb7ur7gsAV+J7NbHqOKTK2jtJIZb1xKYxtlMgBXqY8M5BnTosuwW7PSwlwrS2YCz89x0AB7hLU5fM89sqwkOaEZ8sC9h04Gnzxtrv+1Rte90qxstL595OTf71M518b4N3lA2DM9UvnH6j57gAhHJw4Cx6yYFFl1mCSWoBpJUZ0t5UdJdC1zt4z+fNK7YQR9nkV3Gt8rqLMNq8zyTJ5SgnbCeSIoq7cdaWt3/AEgW9nntT9lEbNgrvViJhsDZidbPPg/j6/8MFpnjm+jq1TgplGRZoEDo3A1q/UgoSaH+G6IacXp3CVlWgiqyLLg0wbkCk2TdnkSScOGITGNhEMU7pDSa2vCDwXzw1wnQn2bk34pX88z8/8ITzw7PpM/2ri1BAnacbkmtDXBJFk6KlCgrkuuI6VaLZOxeBIMpkCInusYjzHuSlkS6UyceSxrNAsAJ8XdeWrb2EuZKtzXgOjyxKBolQgMQzCkC9+5eHapq07r5fjjs/fNsB/+fc+zc9+cFj/iVs+4/mqS6PmoUKNEpJYgUogkYJEGpIcXFkQqfIsY66pM6BrXfYTFjIkf14cXPNNwQ1lSjqvEpRSFNJESVtPXsoTCFzwPU0tMNR8q5/rtZhWPWKyMWDdVJtHDg75uT+Y4qnjs2yeVMw2NBM1QTOQ1ANFvSaoBfbisKn+iAf2CXpDj0CRXWRZpaQpA804cWgEihsu6/LgMy36cdkO1h8our7C9xSe62X6eZJLtml+9V1z/NT74P5964m1JNY6a5YuezBDT+J72rJ3VpviZhe3vZPJlFLGySzLuxbIs/6JTK7kzylKIUqgU6y8FshUSGyUqVNdAjt/niS2wCuMYf70Cv/1/Z/z/uKPLq8P5j7cr63/gb99gB89epILLtg6+Rvv+9jvP3lIv2x9wzb/aldb5kwsoFQqMgbPWFtZcGtFGSymoB1RsHWqTZY6NoW+NqZk8jwpUXSrUDkZImuSkBm4syIjVQDcXmiuY5nMc7GdQF5WYOWn1DJ50ayFTDQHTDU7PH4o5Of+YIonjq1n46TDbF0zUYNGIGjUFPWaol6wd0rgJzTrQ+5+wmOlHTA1VabJc7DkS3qcKtbPKG65qsfdD2vbRRPpCsglgSsJXAfX8XCcGlJqLtlm+JV3zfFT7zPcf2A9sXaIswpAW/ZqmdyPZVFd6DkSx8mKsKRAOfmxofh8+UWYSxWRV6VRJoRKoJdp/rJ4q4yXStLKAU2xYusC2BTPk9xcSAxRtuobnXLB7MrLnnti6Q837PqRf3L2zCtXNm3e9rcL8LB/msPPzf3UBa1z35UOQpLAQSqDa3RxkFQOcmVPZM7ajjbZFS1Gli+tK7ouO0g5W+u1mLv8vyIjV2hvmVfQlbo7rxh0FLY+wzG4rm0sDjxN4KXUgoR6ENMIQpr1IdMTbR59LuSn37eOx49sYP2ky/p6ykTdZODO2DuQ1HzL/oGfUPcjEh3SjXyEkrg5gxcaPNeqWWYvdml4Q1suEAVM5SAfpvQ9y+C+J3EdB9fJN6A1XH6B4df+yXn+7e9p7t+/gVg7hKkgSnXG4oIg1viuwct6Vx2nbPlT2Ypmj0/WlZ8/VgqzqjuYVI//aCxUkZPF67JEuQQ6FWlKyeSZa1YGoPbf8V3B8WM9Pn7ryne95tWPH46i+Gf+Vhl80DlG0Ny649mH3nfFbOMosWuywTMghbR6Lm8QTgRKC9IM6DoPNpQYc0hEGUwW4C4j+PF6ktLqNiVrV05KsdxmHToqC6YcJxszkRUh5dWDgZtmujmmFoRMtfpMNLo8sC/h379/HY8d2cDshMNsLWUiMDQzcNcCayfm4K75KYGX0GpE7DtmuOvRBp6UuEpnQVyJlHz5jlNFoh1uekHMRRf2OHyixmydrB3M9kD2hxkLOwrHcW1Nj7Te9WU74FffvcDPvE/z9WdmGcY1wlQSJYZ6VsPtu1iQO/nqpTOJIpEqLVY4JUUF4KIC8soyWQ3oR4inIiMzMOed/dqATkvZOeKQ5dJkJAjNgJ79rV4o+frDp2hHD1zxnv/w7h37njt1/JLdW//mAR71T6K8qQs6c3f/N1+dfVOrtkjieZVo2liNKw1Jzg7ZUuykIgN2Bu7UkObReOaOlIHkKDvkS+JYDod86VwFbmGQKndwsgSTyljbMXiOxnU1vqvxvYTASwj8iHoQMj3RZ7nb556n4Vf/ZCNPHlrHugzckzVDsyZoBKLwyq3zoi17exbgNT8kSlOGg4BA2YtMCjFSyZcnUmyg6Vgt74SEkWEQiwrANZ6X4rkOritxlEJJtwA4Aq7cKfjVf7LMr/9pwv37ZzjTbjFsSCZTQzOx0wb87O4WEs1kdiEVgJcMXnze7EOvNd/PZGxTnKusztzoCotnMqbqiKV6FOhpmjdeZEDXpdOSe/DnVgYEUytv+uQXvpG+7uar/tX+I2eP7b1w098swOPBc6Rx/bq499ibiR6n2WgSJ4Y0L1WtZLdUKrPMpSBRNhGgM8Nfa0HqVJhbW3ckrTB1ftCeH9xUwJ2Pe8jZ22TyxGRVg5a5HSefo5KXx1pw+14G7uke88sDfuWP63zuG7Ms9KaYnZDMBhm4A6u761lgWfMldd9kDG61d+BHQMSdj3ssxx4zPiP12IiKE2HsxR/FDi3f4RXX9HngQEQ39pmIdTYOTeOFtlbdcyzAHWVQ0kVIm6DBwN5tkt/88Q5feGDAez64gVMLUwwmHSY9QTPR1BPwYzt62VN2oJGbB5pSFEFw/lgN1KsX5ohcKVh8tIliRFpWE3KFiVAFcVmHnr+X5Bnr1FY1xhqGqcttDxxmeuPGN9dazT9udwfH/kYZXCdthGpdnLRv/Qkv/TrNekwYD4ljh1hlNb9ZkY2SilRqlLKAd1JDIu2UVkeJzAIUo7pb593feSBZRuqMA3wkCLLlr6LiAsis9tnaYBbYjtLlmAk3xXMTAi/G92KatQGO0+fuJ1L+8Istbr13PZFusb4lWBdYWWItwNwnV9ldZMxdZe8Yxwm579lJ+pHDprrJMobjDJ5babZ0NHAV118yINEW4INYMCwafO3INdfJLU6VAdFmH61yEKybFHzXzT2a/hk++MUB9zw7w7m4Rj+QtBJDwzEW5E4WhyiTxSUmA3lGDEJkcUw+SKhk8bUAbh/MqI04BnRdCUarEmUc2HaOC0VhVpTaEupuKugbxWduf5Ibr971E+9++0sfe1O7d3BqovH/HeDz507wnvd9gVpt3eYJ56mXX7ftFBdtCfBczSD0cRLbZaMSh0SqLDslUakmlZJEShzHUDYh5Cc3r3lYW2+XCZzRBdKC21RkiSnGS9jxbiZjb53VfGfgVrYWw3djPC8mcCPq9SGe1+dPbnd47/9az+H5aVw/YGNTMO2ntHxDw4dG1mFf8222M8gSQrZ+Jc1WAitPFjopvcjDUwpPmiLAzL9GbrVpk6esJVHiUnOHbJwcsNJvMohFNm7Nxgqum2Y2n8rsTmUBPhK42srHN720x7WXzvOrHxny0S/PspQ06PsuDVfScmwNju+ApyiaIZw86ZOtfLKQKmUCKG8GH5cr1URbLinz5FDhsFTYO48/0ux5DuxE56XTgigVhKmglwr6qSGOIxwzYCo4wbbm115O/+xm2Vs8eOz4WS7Y8c2lyl8KcK1TfvZdr77gtnv3vf9f//IZfLOJn3vXIt9+YxcpU4ZRgJSaRGoi6SATjZSKVErSDGiplqSqrGcofNPsROdZMmNE5UCJVV63IE8rZ+wtK+DO0s6WwXWFudMM5AmeYyWJ74X47oBj5xM+8IUGn/36DEfOT9Gqu0wHMOWnNH2Tpd5zcMsM3LJICgWZ9vY9e+G0GiGfuc/h4PEagRI2Y5g7KJQoL5MlVofHicPeHfCGa7v84Zdm6NUdWrFhGBv8KIsblMZxpHU/FBWQuxW02VVh+zrJv//ePlfsPMX7bp3myLkJlpIafdehoQT1DOieNPbCyVwmVSEJORLXMKLJ17qVJoBZFUfp8ftYIijJmiziSuNLLxEMU42OQ4h6vP6lS/zcD64w03qKQydufr9qfNvrTLr8l0qVbwrw7iCiEbg89czXtx44+siuleEKJ0+t52d+X6HUHK97UT8rZtJEwpZfKmHHPVjtnTchaEx28G29QaWQR1volppbPK/mhvxAm4JdclmSA9u6Jjl7p7hOYjt3nATfD/GckG4a8buf8PjgFzZyenESrWpMTyimPcOEp6lnzF0v0vcyq1PJpEnmnRfg9mz2MowjDp7y6UU+U37m4uRJp9yVyL+nqdSkxA6thsPOrRHKH9KNmgw8QS2bQeJl8srNJIqTux5CPU/wqpid6POjb+rz5pvO8cEvdPjAp2ZYGDQYOAGBo6g7gpoy+ImxbC6tVHFyJhdlGr8AOGbUWRkH+QjQ81EVjKzSacUxS3Wps+NUEGvBQEMvEURpiomHyKTHt924xK+8u8ve7R5PHFxkbv6BXZu2yq1XX/HiY8YMESL46wH8zJnzzEw1Z88uNj/x3j845HaHLbwJePb0DP/2d0D9+Hle9YJBpSXMIIVjZ5qkikQatKqUW2bg1pVKtZy5q+BeLUtM8e+LCrCFqOrurEpOpRmDpzgqxXNjAi/CcyPaw4j7npT8ye0tPvX1GYZpE8/zmPEEk56m4RnqvqHuleAOfInvS/xMmtjEUOZMZAD3XJv5PHrWcM8jdaLYxW+YVQFmsSpWZJrWkihWuK7DLdd2+dgdPQ6cajAI7LyX0DV4Cbixxo1sbKOkyGSELIf75ADPPXYtqfsOGyYH/Nt39Llke8hHb2/y8L4J5gcNhsrDdR0CR1CT4MvMRs3tVWlsPmGcxbPzUMiVChmZyucoVqpcrlSBnRFbakqAh9o2uPQ1JGkKyRCV9nj1i5b5L/+swwUbA+aX6qxruUzqB931m276RDhoX5Umnfm/NoPv2rZOPvH0gevuvvOuiQuaMR1XsjBUzIuA/aem+cnfTvndn5zjxVcMyVsMLOA0idJWh2tZkSUZqIuWsqrmzjNmqykiZw7bdpYDXRflnnZIkMFRqQW4Sgs54jgx7V7MvU8L/uhLLW5/dIKldhNZC2jWFJOuoeVp6q6h7hlqHhlrW+au+ZLAUwSeIPDIKvR0Bm6N71r9rZyQ507B6XZgEyuZvh1NnJQgsMyWVdlpSRQ5bGgJLt424KkTCf3YtWMaYvAislHRaSZR8kSNzT9Ub0WNSGZDxqmtD3/7LQNe86JlvvpYlw9/ucXD+1osduu0pUfPc/CUwJMCX2J7OKXBEaYoVsstWBvY/2X2Ycnm1QsvB7U2WYNzVtsfaRhkj1qnkA6R8YCXXNXhv/7ECjs3+CyvNOn263QGActtj5NL35jYtsu/bmb9RV/imwwP+qYAP37yjC+E+b2VpTONDVMCr2cQpMRaEdc89h1r8L4/73PpRStM+hEYSIRB5PXfsgR4KUnK54zo7jIlzCjhVQKdskDfyhIrh2Q2AUvJFC93M2TMfDfh7kccvnhvk8/dM8Fcp4EIAtymS8uBCdd28tRcMtkBNU9kd5mVnGa62xP4OXvnAHcSPC8h8CKMibnzUZ/jZ2usmxa4UmdOhCgbfSsoyMtP00xSDEKXHRsEt1zT57PfiOjFLoNYELgGL7EsHsamskqpwq9GyBGZYu+yWDlt1tSh5oe8/eYBr7p2kT//epcv3Fvn7iebzLXrDITHwHNwXIUjBK4UuFLiCpNJLYNEZJKrDDyfF+RUJEqlCtQC2wI8zgFu8jKNFHQISchsfcg//Y42u3fAymLAIPRp92sstWssLLt0zp5vbNiuf6+9fPYSYPDXAvi+/fvp9/ukyZCppgOkxAmsRHbaaxoovviNGv/mdId1u2O0zq5srdFSo7TKAJ4d8OLgj93XOjqi4phUwC2FzpqHtb2QMjniOTFBEDMIUw6chmNnFB//ygRferjF3HID3ACn5VJXkqZraDqammuouRC4FtyBa2cS2jJTWbmL7OcmA7kuQO65tj3t8BnNU0d9cN1smTeVFP1oWjBnt9xJsW6KHed8+c6QS7f22H+6ziAQ1BOBHxtCRWbt6Yy9czcltyBLrVL47DqPe/K+SZdh5FKrhfzAa0PeeMMKtz3S48/uqHPsTMD+03WiFZ/Edxg6DlJJm7Aj+3tYba5yeUgeQK8Omgq7N1tV0izOypk7NZACWmuMNmBSMDGkESKJ2bZ1yOuuH5IMfFJtj02377HUyTcYG3D0yGGC2jffIuV5AX727BkRhsOf+MynP7FuouHiu/bAtgcp/SHEQw0mJQwFiRFIGWejEQxSK7RWaCNRWmaSpMrcohJMjna/F6yNyezAqjyxAJfCMrbv20mqSZpybhG+8jWHQ6dq3P1gjdPLNQ6faYDvo+oOgaNoOIaGo62L4Bp8xw6O910yEOd3md1VBnAyzZ2B203xXcve9sKKODoP+47VceWoPTiqXce84qKBIOtxTFwu3THg4vV9nj6S0E9cmrEgdMDLKuxUBeBSCoSUI0wO44VPZftY3kMZpy6h69GqRXzfq0NeekWH08sd7nzI48hJn9serXNmMSAduGjpEHsKpMqCZVuZJcmTbOXjmiCnUrNCPnAoj7QthtBpBvAEdAw6xpWawNdIndII4mwWucPckstyVzAMNc/uP7juLW9520+cOXPm1zZv3rymNfG8AH/skW+gdfpdSbjUmJkUaK2YnZLUGwP8yUX2n4w4elhDliAQjsExCSI1SKHQMge1zJZLkT3P+/7KHsBxXZLPoSpZO5+Wapdn10+JU8ORk4Knjii+8mCdp496PHu0Rif0CSMfXA/VcvGVoK6g7mhqFR/Yd/I6jbxs1taF+5ks8TyF58nsAjCl9nZTm1l0rc4PvBijI84vSULj4zgSTxqcPFEypsHzpdsUwVbZ4xglLgKH2ekIqYb0Ype+I6zTEZcFY47SIxlImZvUAPmwI8pYJ83LArLeSTfrhI9il37osXEqYvuGmBdcGDKIBvzg0TZPH/P4ygMBTx0NOHLCJ04cjK9IpQIhSatfLl89yhNYjMcrLbFKJois4Mik2fO0vGdZIK0NwgMpYo4fGvD00SFHThjOzadFwVanf77xwIMPfZej1K/9bzH48ee+SKfTV08+dVhMt+KiYCnwUl5ydZ8Nm+Y4M9/j6YMO9z7pMowEK12F6xhqtQSpUzACtCBNrBa0rC1LSZIDvdJCki91MstAktVcxJGhP7RMfuyU5E9v9+nHisefDTh00meh5xGmHjgeKBfVUnhSUFNQV4ZAYceZqazwSFnW9lxhkx5VcLsSL5Mlvge+R+aa2JS5nXKbZBnRmFoQMbec8pX7m7S7PlMTdnuVvGQgx8EqdsvLTQstLglDxboZxWtuGHLbwwNOtBsMXGlligNuYnDj3LPOPHaZWruQ6qwTWfwNbZzK37BA91JF6igSVxGnDnHsWivVjWl4MS+9POH6S0K+4+VDnjspeWKfyyBSfPQrdY6ec0FI+gOHNJJZ+abEOJWrWIgxgFe8UUMF4BqRGkRqMBnQa/UUJzAEvuHTd9S490mPpw/UOXZuko3TsLkV4rt2ZXRUwpNPHRQX7NqrPvLxLyff947X/tUALoRhYqL2u5tnFq7s+32EFHbkWhCzbnLI+pbkog2al7ygyxV7fH7291vMLQtesDfh7a8cFt0bs5Oaqy+PafiJHbuRsbV4nmxB7pK0+4InnnRY7EhqgeTBfS6f/3rAMFYMY8XZcx5aOMTGRQsXHAfhOzhS4ilBIA1BBmxfGXxlbA24k3m+TsncXt6XWYBbZT2aomBvz9V4Xl6glRbs7XkxSkV87THFZ7/RRHmOtdtG9PfzM3juhadp7ngohkOXN9444HP3dfjonRP0koBGpsPdXIfHecbRFN1CQuRXUn50ZUXrVwCedcEnjmVy11EkjoOTpBboKkUpO0h/upZw456EG/bEGBHy1pv7DGM7cu8vvu7z0D6Pmi9Y6CieeNqj05eZShrzRUe8RJ0dA9saePU1EesmbduaTg1vf9WQF+xJOL8s+Y+/3+Ibj9aIvTrSq5MiIdbUfBv4GmPoJe0r91ze/F1t+NG/EoM/cqDLadNozSZ/vGfTujk1qMVoY71t300I/CHG6MLquu0Bj4ce9xkYwcETPp//aqP4HhNTKdddGdOs2SXlm2ZwsqhSSsFKT/HwUx6dtkQ6ilArQqMsMwkHOxfYAamQUuJKacEsDb7UeNkMRE+Bp8oZfRbk5Zhk17GNAHnjcRXcluGzslo3Z/C0ck/wnRhjIk4veERhgD8h8bLVTmVVeSNZzLyjhzK9XoLcTuWKYpeppmLbughPDBkkPoNEUHPsEMy8hiRPaClZLW+Vxd+yfyOLe7SuDMHXWdlEZfxDkmZ5A2UTZCqxLXCxtVwdmSJVwtZ1OlsxNJdsHxKZAdLRtNuCh59yWOlLVL77Y6VRYmztsgNFtM0UX39VxMSktmpFQD27iC/YIXjNdR4PPFazExOkZiVycXpQD20hXRQLzoWJWux39vzLH3pL6/vfsdARYnQ3t1UATwZLKNn5ta89duDmWy45SXOmQRTb2dauE2fVd0MSkfDHn6vxB3/eZCAccCQJgrYpwdpZhrNfq37LNQBe6EdRPDdCoPMtF5AW0ELaQEfaoTSOELgiY2iZpZ0zYBePqvLoZJ30imzrPQpw27YuuyWK7wk8h6LE1DJ4xuKOxsuyo64b4/sxJxc0H7mtAY6HK0UZYBbyZI3a6opPnA8JtWCzg3Wi2OWdrxnw53cPePZ8k17qUk/sprS2CtCUnTgqzwlUgj1RxjZWCchKgVd+10UtjOMo3NSC2c2ArmSZNFMqRUr7XAqdxUMpjtAIo5mta77tJdoOXxKZHMmzQPlmviOnvkwKCC0wqSp/kvVl1pThXf+ox9GzDn/8BYdhGNJBEhuHQNkgN0wgGC7jpk/c3Otd+2tJkvyzv5TBVedLgPQu23SORmBwVB/fE0hhCPwE5UQMk5g/uy3gFz8wybmlwIpCocYCDnug02/G2FQ0G1k7ztijyHYNszUSFtSuMIUUcKR9bYdL5k21lUIih8oclJy1y676EuCykC2+Z4qWNs/TlcE5CW7G3p4TI2XE8XOC+U6AcBx8yYg8kaJy/VLGXlXpMAK8zOmIEpeZVsiOjQP2nwsZpA7DFPxU4KYGN8l0eJIXmemK/FWVq0kUiRc7abds4C6lkcZJNakSOI79+06WFbZypZpryAYGFX9Tl88jPZKnKP76yDgK87xQGM1Wa7RO2TSV8gvvbmO04ON3QLefMlABQ89O9jfabrny6Tv6tDt3eqlene9ZDXAewhjB7q2nmWoOkTIFAWFiOH5OcPic4I77G/zJbS1OLgQWPTIDOGqUkQvwjn+b8gTkv1OUZWbPc4A4AtzMe7VJB+tQOHm2rfKoxkCej4hwlK2eqzYcW3BL++jlQM+DzwzcefePowuJ4jpWn3peTELMF+6rcX6+hjuh8HJpkjtLVYuweghGSkvFWBCoGIZ2gu3rX9zjvieHdJKAvuNQSzRRtkLlBVEjWUahKTuH8kCzTLJY61BZ9i66qwSOFiRK4KTZ1N3snkg1CnCVsXfuamUALzLLBbjLkooiN50PFxLjaDAVgOflF/bvaJ2ydTrm59+9wu6dEV/9Rp0jZwKOn/cJY3uAI6N4cn+HWu1Z1sD3KMDf+6E7+NrJ5kseuP9T1+7eeIyNUw4GByFgqS+58wGfQyc9jp31SchmnglVuctRyirAW4GzKOvq8nOhKkkDiQW1KiZSlckFJbIEiqh27ORgpxiFUAV2MQdFYfsR1wJ4HnDmutvJZYnJ9PZoLbnnxnhuxLm25tFDNXA8nEye5On5gsFZfUhsDqBsoi5ZVRaeeBy7XHNRyMzkgPZynX6irD5N7HdRqR1HreIqwLEgL/6QLOzYoixCm4zNBVppUi1wtSBVklRZJk+UzKxIXdH6ughqpawwtzQFsAuA50xeKbEot4UcTQyNXBBVazi7gBKt2DSV8P+8Y8jbbh5y8JTDnQ94LPUkUlpi2LxO8qZbdl579VVveUn43hvvbW74zrUBPgxjDN1v23+0dfVHPz+L62dHPx/cHmZA9mXJ2qJkbVnpkcxPrqRS3ppZgcXPKo+KUWDICsjt89w5oPCYVQZ2p2hRK4FdPC+6V0pg5823lr0zze1Q6O3cErSMXYLbLaoTYwQxt37d576nm0jfwZPCzt8uKggrx6FIaY9nM9cajaZItWIwdLnhsgFveGmXD9zaJEp9eqkkSA1hUrmoRUWmSJmxePVPPR+Tg3ZkOXApA3eqJEppy+hSZqMldEYmulIiUQViBlCpi52icwavyhX7uaqMXj6WF8QoyIVwSFOr/3dsSNm5MeWmK+y26AIrvYzWSN9cHYadb8NE967J4E8+d4rZqcZrfuN/3fm9z51bxniTRMKAzCIiCTRyOsqyWZlToCgBmT9fC+BCmLHX5c9l5Wc5oPOy2Cqoq/XKSlGwuZN30OfsXQG7k3XD5Pts5uC24xTGmDvr2fSy9jbXyRsOkso9JiLmz+5skRofVWQvqwFm2deYr1kjGjxn8aKrSdrG7DQPNh0ELm9/RZ8//kLIio4ZpAGDVOAmFCwupUEmopAN1i4cX6tlxZoUo3XZTtblrjKQOwalBU5qGV2lttfWgloi85FvspQluUwZZfIqwEeZvGR2KtnqUoOX/47V9Ul2AYexfT8fZGovXDs2Tifz1Pyl762v/8674sHR29zazlGAJ1HCYBhdFHZ7u4bdHq26V9QO5CWPOTEU+ji7WlUOynEQj4Ecyoq0EZAXF0TewMAqNpditPw0Z+x8PJwqpleVIFdqbNhNBmy7kayozEexzO26eWOyyZi7DDCdCnv7bsSjhyQHzwQY5aKkxJN6RFrlF/+IQTRC31UNXjZA5EmfNFXEicuuzTGXXtjjG8/ViJXHIBEE0s5XdxKRSbesCyfJdDgSgWb0T4oKi4uKNConU+XzIR2lSZUFuhImkynZ1IS0OrhTluCuSJUquItzmgNYmlVAz4FdFHFlK8FoaXQeSJdp71J+CXQSIurhLj+JLtJpetsqBj9xbpnl7pBBf8ika/AdXVSCFfPpqiCn1H25dq5qzmr3zThrV39npCO+Km+qLF4tws9BXcw+oQC3UhUmr4xpc5QcAXh1+I/ttqcAdpGtLJg7xXNsYsd2BcUYYj55Z53FxRrCd6zvXllZVtWgFIKTEYswH5FRreMuvGmtiGOHddOSt93S5dFDLcI0oK88aqnV4nk5q5Jk4M7XCp154nm2IpMqY3p8ZKJBtRlYS5S2Q1KlNCidr04ma04um0yqTSdlC+H484ocGTnvpgDtSEOFMGNSR5fFd2MSr7hrgR+HpPEcOumvlii/+nt/gZCSzvIK03WrvVINGlOcgOptFUjHAF42qq7N2MV7YxdB2WM5xuBFI2w5jUmOsXd1gqxlcYlyRgHuOdkAIDffOjDLcDoGt0jF6+x5OnJ3lO3cefY4fOL2JqH0UFJlluXoTJbxDOa4lzRSUjqiwzMtnu1M5qcOb3v1kD/6Up8nj9SIlUtfSrxUZ+6RneBbbbwWUhTSwN7y7OHovkVVJk81OEVxlsHRhlRSjL6WhfdesrUsnBz9TQBeYWdhqMrVcXBT6dSi8jtruS+mYrFqIwEHufQsaXhyZE68A3Di5Gm2bd1c/zc/9z93PvrEHP2aQVPO59Z67fENz8fIVN6XI2AfB7ZZxdo5OEZ7AsUIg4+wuBoDuBqdQ6hyBs+SPCPgztP3bt6YrO3MkKJFLO/pTLJ7jHIjDp526EYeKFse4Fb1dwXY1e864qJU9LAZ98J1dci81eINV7Bny5AnD0ak2megPYLU1mw7mQZXwg6ttIml3HvWlHkJXZy1IsOZ1cM4xWBT+57KGN0eTzsCRBYsLgr2LgEuKro5X3XHAE95zhEl8ZXzyXOcmNHfW6NNrlz1cjKwYwD7Q5+W2Lnz8uv/RX1p8d/1p2c2WYCfPXueTqfz6it3z/7Uwf1P40nb1R2l+RQqkw2YZ9WtCmhZeW8EyJUvtyabj7kOeQ316GDIXKZUh2pmY8cKgJfdLjlrV3cxdhXWVcnAbQFcDgVyq/Kkyt4q6+v0Ipa6mv/x6SaLgwDh29pvL/fhixhBjHz357sVHS86G5MxosGto5IkDq26w499Z5evPtpiMfSIpMNASryshzJ3l8quG1GRiJq8jNagM3DrsvCtcFZExuAWxFpnQbzOjrEyhWu1GuCmXD0qIF/N4mNae0ymFNNtq+xeAL+y8lVWvTSxGwEPI0VvINne3PJTx48dvDeOB39eMvjx5/A9j+7KWWZattgpr9lNhEDLSqXjNwF49cMUQcXzgr0iTUZYuzKyoCpTZDlvcFSq5Cw+DnBrczmZJHEKgOeaWxdBpevoAtxu1stZduRbcLsqxvMiPn6nyzOHayBdpJT4eWls7gRVLtL8yz5vNWGFzcu5jKVMSbRtOUsSl8t39XnTSzv80ZcCtOMzkB6+FEXSR0lBLHKQrGZyUWXyShdVtSZGK1DGrgraCAvu3ILV2DF8xWCl3LmhosUzJpejwK4Cflx/j7+XKwMqcmbVsaMkgyQVRLGiP3Q5fV7TSU6zsOKQJFEpUa7aneB7kkk/4uSJhKWul9kx9o9WC9ar8mQVyPPnOZs/L7hF8cWqbFeVJ1UWVwI7Vixn7m8KcFkCvEj05AA3dk52JkVcVbolbmU4UKm5LXu7jp1atdzW/MXXmiy0fQgy90SUAdjzSZRqsqukoeex7XLLMN8TJ7Xb8021FN9+c5/P3TdksecTKYdBKjN7UmTujRiJYUT1j2Xsnb+lCzbPGxIETu6sqOy5zF5L7HRgaZ9LIUjzgDPT/AWbi7wxJZ/2Ow7wqiYftZBXOyvl518dYGblB9mEBiXhzJLmSMdwoZBEkf0vnCOHD7JuauaCex+571/8xVdPcuAYRH07t65gVTP6j487A8Xr6kkdAbZYm8ERlYBMjOpuWb6XA7tk7tHZ39UOFzvcnVFw5zsb5MytKsy9isHzcRPlyAlH2czl0WOC544HaHyEdIrm3LJ6cPTiLF2N8qBUa1FKJi83fhrZFiRvN0sdMA57d0Ts2jRkcX8Nk3qWxdPM86+4OKUcrBZ6ZYI7L6OFrKNGVIJP0LJsEC5nF2a6XFoWlxU3JRU5uEXG5ILqUCKpTUlksvq5Rhk8J4FqMqj43BWMVev2ckdIKcNkI+JFl/dY6O/jykt3/YtL9r768e96w6FjThgPiZLOxjOLyWs+eluXSa/O5laKL7JqtQpgx60a1gT2GmDOfyd/T1ZclzFgCzE6Oiw/MFZ7jwK7eFRko4CrPnj1nm1prargroA826/eVRlrZ+ytsteOE6NUzBe+0eTgQg28Up64leC3Kr2qAfbz3UZHEJeWV77Zk65o8ShyuHBdxOtv6PPQs3XQdi/4gZS4aTbkMx2VShZEmR4v4JGB3JiKRKnIFZk9l9mqIvO7IFVkwaaosHnFOdL5CiIKbV5IJQFSryVVRp8XdSkFqM2IZBBrPFdS43opV2xMSJIj+JPd1wyj9kYh+sec8yuSVArmliUikUy0VqfMC2BXl9oK2KvSZITN19Dc42yez6UeZ277WhQgHwe2zWRmIC8kyhi4s2rCosJwHNhOOSCoGPHm6AzkiZUnKqZWj/jGAcWff63BYOhB3cGRAleMSpPxAHN8RRtF9xr6e8wyrPriceIw0XT4jpuGfOm+Pg8e8DANl0Hq2wrLomZHlAxe6Noc3CXIixo/gw068wtMWTZPpdXjOcBTWQac9rWpxEOjK28RP+mqJDWVlS27CMjYehV7l3GLqASaVI9lLnGz+YlaC3oDj2bgs27SUJ9ISOMURycpcZTiC8PGBrQC2yiQBxcjo3+roB67ila9LypfbkSWjP6sDCbFCIuPOCk5sLOLoWBvJbI54CW480fXMcW2gY5TjlB2nLxibhTobsHW9q4y58TzIuIo5Uv313n2RB1cFyEVnqDYXKoaXAo59l0rxyV/XgSYiMrY4YoXbkSmL2XhiaepQxQ5XLI94bUv7vHEsRph4pFKl4FWeCljnyX3whljcPuYuxFGjXvyGq0EKp9XIwVGZRUbmXTJg0ydBZhSi9JF0WJVHqNYsbMQwGZ4cxlSxg1kBGiPV25SiDHWrrC7EEhtQEmiGLp9jyicpDn08BNDEgucj3/i8ziOYmm5y6Zpheua0opbK2D6JgAvS15XS5dCcwvyUpZVoB4BeKWhNtfeIntdDL2psvYIwMvJqQWwM6DbGX+mYGqneCyfu1lw6Sjb4PH0ccFt99XpDzxouEghRqzBfNrrqizmKvoun+cAI/Og1yqfLeeaqKLbp9mMeO2NIZ+7e8gTR3xwPEItGaaZo6LttukFY1aZUYhssvyImi1WE0dRShdp2TxfVWTG5EpasOdAzz3wqpyUAoRefSwKGbfGqj7qgVsMjAM6B56gXKGkyEfgCeJY0hdNov1P4h07itEpTjRYtvtZmpjppiyE+2onoHJ1rbFkrAoux8Be+tz2jSqoq3JkVJ5UttaQYg0PnKLAKs+yOXnBlbSAzmeErwJ3dncr9c/WHkzsPevaSUzKrffWuOfpGgS2Tc7L5YkYDS5zxhasPomrbxX2rrSx5buR545KPjgpB3o4dHn55X1e/5I+zxwPSBIXIxQD4eCmlJ8pLVlcpPnpWpvJy79vUCqzDKVlc/taILWwOrzq9xsrQ5QUJaClqTB49fxa0I8AW6ztto0rgSo1VLE4GkjbCzNNHZZ7EUK2wRicC7cqXEey3NYcTySpLrXhiA+51h8qwC5WAb28MMQYyNcYsC6qV7+oJHnKzaSkqmQ0q9nMgrlLcOe7Ojjj4FamALRbAXXunFjHxD4qFeO5MY8fk3zizibggXQRQtmWuNwaFKVzMf69KAhBjAGMsiaFKnNXNLix275olY1+yNrZktTBGIe3v2LAV+4f8vBhO0kg1op+KrKCr+yzpBlrV2YXVNeQvKIRxRjQQRmyC9ACW0mJqtiZSllwS1myuRCgdHYedV5COyY7C5YWYzip6vIx6fs8EpgK4eYrYhjDcl8RJgopDI7d01HQ66dgbO10sXyOEs7zBpjjQWiV/Vmlw0URuFa3yiiYugrwijW4KlWfs7bIGnBHQG6Z25WjmnuEtYvHPLFTanClElw3IU4T7nqwxlOHauC6IG1w6RXjzCrBVfH519bg4/LEVJ4UpbOVGpGR6sJUorMNBdLUIYxcLts15OXXWRYfpJbFQ+Ex1OCkFTcjLW05+zHKi8zkVxmrAW6MZVeTpe6NtNpcGpuHMJlsyUEucrCLLLjMj4WuJn3GSa0EPKwVnBtK3bC2RC6+TaXiNUkTBpFtyHb2HbOgimP7H7lK2JElpjgEo6dIlFeNfSlG/mD5OL5BVPWKLfU2Yxq7kCcFyCtpelkBeKWjpwC3zCc/UWHwCrhVCe5Cd2ez/kbkibJVgwfPCj78pSZh7ELdzeQJRWuaqu4SXD05o4FJFdvlzYwCfWRQZXVXYbOWFndo+JLvf22fW+9pcOC0vfhSreinylYZpqKYJ4gwiDRj8nRsJcmhXgk4842llLEBphEGaSy4pbT6XGayRUqBMNk50hUHxaxe0UaK7GQO7rEVnvIYlgFn+Tmr8rh4pwJSJTU7NoLr2e4l9Tv/47c2BL7/X06ePLXXc8rt5cp0bJklLIK+qgddOByjv1dNwBR3MfZaSTv/TgmK3dmy8cAj+rqyFWAJXgq2drIUfClHMuYu3suH4ZvCGizcEyetNDTE2WNEKiP+6PN1/vi2SfB9UAFKOdSV7fi24ygoGpzdSmtcmUmtHgdJORmWkQA1/66ykhHNL1o7TCCvwc6bfw3CaLZtjDi9IHnkKY9ESBAKnXVY5eUDowbBKDlRBYeovDblb41vlb5Kt48xv2Z0V+TxrQerK0Re5lrWqosyL1Ddg7Oy895oEJ7ttTqymZXdNWLHhS/cePElL7vDmTt3ehLdf12rZkA45c7DxdZ9Zs0qQipMnb8cDQBKRi+v0tFAUoxJlOLqH6lBqRYxmRF5IjPWzguBiu04VPUxZ24zGkw66ZqPSsW4TsxzZyQf+2odO3/FsrfV3iU4pWB0vDBl4DQeaBYvClkyBg49WhuSn0CTjZtOs/mOOlWkKtPiqcM7bunz2bvq7DvlgowwQhKmLn0ydyM/xqmpnC8zAtbMq8jqj0aDT5XLlcpjzs42yDRFb2QuWfJ0fiFFdOVik4yt7JXgM/98a2rw1YVQOXtX9wJKUkG4HDM523ldlJycdDZODXB1zJlpSXeoiCK7LfRftm12lQVWJzVWy5HVj2MHoWJLVoEtiuemBHve3VMJKKtbBqqKPCnAnjG3yiVKPvcjCyodmVjtrRJSlfD5exvsO1hqbyFkMbKilCbVIGqNJba6zI6qk5GTlDcgM8Ze1YlUTr79S+GPW6lyyUUhb3xJj8Mf84lS2yObCsVQSNxMptjTI4qkSVWT5/9fLvU2FlBFTGBQlFamzEGfuRZaiAzw+etSj+fHRVclyhpOyipjYoQsR4l0BOCVVSI1lsWj2DC/FFM7PWCl38MZxBFhEiOExpECrey/Wu02wXwTLT7ippTsLRB5leYIqAtgU8mAyerPKFrSRMVfLvW3GdXfUmcypmRxNQLuMqDMtbYq5n5kCR6Z2k1RVYrrxhw5q/ifn2kxlK5lb+FUuubz4LZSXFT5bnmgvabuXuPk2OclgHSl0q8MNGU5N0XJbCy1Q5K6+GnCP31zj0/fVefwGQdkAiIlFoKBEKhK+r4ooy3OmBn9QBUmL9nbfjYpSzY3OYCNPR/aZNLVUAS3Wpf1J+NAHwd2kS3/S12TbwLwQp7YnwVBSqOZ4Dx50KPbcZhbEjTqmcecXeUFi1dpp8JK41fY6AcsmV2uAvjzPF9V/13WOY8weBXcsnRQCpBngWWx01rG1rkWLwPKckcIR1nt3Yk0H/hci9NzvpUnwkFIWVqD1YtQjEqTVSeP6tZT3wToVDRp0XggKtZhPrhHrgo4k8Rh62zIu97U5Vc/7NGO7ZwaYyShVtY2THPJmNmGonQuRo0EkyWecgllm8gNZJnNLPDMQW1M4aJYHjSW0bMaFJ0Fp3rN813iRY8pgBFFMIazkWPHqDzJu87WTTlccoHDpg0KZ+8Oh6Ulh8GyKCw9m1Ktftn8ah9LmxY4X0OmVFyU8aaGtUA+UsNQ6aYfZXBTeTQVUOdMXkqUYqc1WUnkjE9sUglK2rujYhw/5lO3+rz/ky1C7WbyRKGExBOsbipeIy1frF5i7Aw9zwkqcMVoRrPatWLGsptFKa1UpNIhcBJ+9K09njvu8cHPWy0OihTBUEgcYWziJ9Plz8fkJajFCIJMBmqJQBuDMhmoDRiRXZSZJi80t8xZu2R1IcxqFl9De48kfKp4q4B9VeBayd/0+oYjJxXLPRen1TDEoabmW5M826TB2kFm/NSsUWxV/YCwavlZK3NVrU0odHdmt5VgNxWb0Dw/wCvMLXPWlpnmzjemcsoNqqpVguWjzVouLcOnv1pnOczALSzAi/FworQnny+5syaeK6+rLkL1BNka7bJ01ui8pUzaoF/rMXBbqaK1Q5I6THgpb35ln8/eW2exq0DGYCSxdukXybUy8cNIsClKHjeVdH0RWJqCwS1TZxpdZAFlBfBCWDbXpjw+ZsQSLB/LJKDIWte+SaC5FsCrq2DxuQ3DMKU7SHCDFGcwhMFQMIxKW0bk3unI1SNGno/88bUAvRbAWa23RTUTWAX2mETJQV3V4LICcCefwpTr74rOdmRayV7m3rf1u1VWc+LWE279WsCDT9XQ0qWYXpsHl5WsZXmvTBUQa1/Q35zEM4kwYpuV219XW8qq7kpqJKqQK9ZRcXTC9ZdHvOFFfT7yBQ9UBEgMkkg4DBDlJAQqn6u48LJYyzASeJZa3DK3kZWAU1iZkpfW5uRkLHxKsFcCSzkGdrvSm0zGlI0w1VimKnurymFsAUJgrW27r5K9OyfPa5aWNEvtlHrNKWtEEOUktrGrZwTQ+evnAfvqgi0zUnVXgnt86S/BXNiDFVAXk62yzWaVXBvcqmINSmU3qlKZ/nZkipJ28PvhE5IP39rkXNez+11LO5bOEZQ7NuSfl9Uec8Hi4+D5JgI8Z/PqKIlVzcgVPW6qMiVn8VSipW1r29BI+YE39Lj3KZ/D5yV4MWiFFpKhkCgtkPkAWCpsvhZaDKg8nZkHn2RsLvNKQ1N8XiFGgS6yWS2mUjUopMmY3YK6qHgsZF35fKTpIcdjNtCocOrGFESe+Z6ekGxdL5mZAWcwTBkME8JIE/gGoUR5AqsND2OgXp25/CbsnTeUVgEtqLQzjRbqqJGCnVFAyypzj0kUtSa4ywmpFtwZyGWCVHaIZphqfv/jLe55tGZ726rBpciHf5YWZXXlkc/zvfOLvgqdUcasAJuKlmTUUSmAbapltLoScCpkqkmk3U795S+IePfbO/zC73uEibQZKC1JhcsAm2wrP6cZBfX4qpJ/NkylfDZjc5l1egoLeilGgS5EFgBmF74UJmP1sgFCV7FUZF1LKVUCeDWjF8fc5P9A3k0EgQf1wM4fdxo1h2joEHhy9CRJRgOpNcBcPOf5wG0P3PjyPdI3OCJR1tLgZk2Qq6pkyXS3XAPceSpeFXUmpf5WMsH1Eu582OWz99QJQxdqjtXeGXv7hTU4usKs6kIaPy7Ffe2m40oZSAHsUv+WxVeFdairteK2ylBqhTI6G9RjHZVaPeHNLx9w+z0DvvKwAhUXV1uCQ7/yWUsdPgpygx0qVF1ljDSZB267fXI2N9IGmnoV0LEuShFcrrWql6l6sK5L9eIry2ifXyVIWa4GYFeQQQjdgcQbCJyLthvmazB/VhIlWaGTKL3o6h4z1e6etRk7z5aNvl8GOGt8wXHXpFLfYRlTI+WoBs/3pV/F3PnzSglswdjZYx5UKmWnxK70DLfeW+fA2cBO4My0d87exR6RovI5KxJr/M4IoL+JPsnBZMg9tlXp7dGAc3RIZx50ploihSJNU6R0iEOH3Rtj3vDSHg/u82hHWfpVWz0eC8UwY95RcJcgV8ae7NwmLHYoFKvZXJtyW0EjRRZglt07Ro4XWtkRJPnrIrhcS/YyfmxHn8tslVDZBWcdHVjpaI6eSVgeJDj3HkhoL8WcmotZN+kgVT5npJJJrPyDI7JlpK+ucpUVWtWsBgElU49KlNH3RvegL5m8GlhWp54WY34LsJdD2x0n09sZaytpa080Kf/rCzXe/5kGRmTbomTsraBiDZap+eeVJyOSrQLy52Hv6uOITClGkZlKRnOsjLbIambOipSkRqG0Jk5dpNL86Hf0OXTG5f2fdYiTrL5A2C70oZC28wayib/jfZujcqX42KJkc0XWCCEs0GUGfmsLisIeLNwUWY6xKCtKq2AfJ8ZcdpTYKhNC9vOaApv2l6QxSCnZtjHlhXu7zKxTOGkfoj6Ekb2SijHEkjVsPEb+6PhVlX/oVQxfTDGi6KwecSHG3pNjzD06YMaUoK7Ikpy9yyCzwtxCF8kcldebuDGHzkk+e1eDXs+z0kTm+0GWiZ1iO+sxB6XQ1JXnI64JFdvweTBuxl4YqvexzXJ1ebed7xVPvGhtk0hpZxo2GwnfcVOfL329xqGz2UnVAlBoIQixIzpF8QFKJjd5LUrxOUzJlKK8GKUsbcPcGpTCpvGtRCmnJhhTqRxcBWxRkCFjr0s5ReW/KRub81UFrMT2MPiuwvdqeE4D5+JtdRbqA6K2R+BJXJfRKU1Z0mekDWuVRDFrMJkZ8bzzD1baRKzB2PnvmGzexjiTVx9LgDuVarsquO37ZbYyDy4dlRDGmtsfaPDVx2qlNMnYW4qMvWU1sCyH3owmqSpJrlJ4r627n0eiFGCveuOVtLhRoyxuRpI/mUzREi0UOtVooUhCh1deHfHK6/uc/KJDqKXVGsImOxIyqVJcguNyJddPOcIya1DaKcIF0DOtrYQtmzV5TXhGSEbbY2QYlakj5RsjSkBQHfpTavTx90zxd6yNqrOyEjiXSE7P1wl1C2fvnh0rx48nX1qZD/6R0SnlXOvSzstT0Qi7pFWlyOpgc/TKq/bOrR7nNQ7sTHtXQJ27Kvng9TzgVFJnVYR6zEEpa02UGge31d/SS7j7YY/3fmiCVDt2fxORMbhYOy0/PoJsxCasrmaMgfuvAvRxBs+TKpSSxPrPox33UuqRmnEtM7AbOyzI8zQ//UNdDpxyufshhfayE5p96gTFUFiUCsNIv6bJTqohCySz4TqFB57VpuSjI4wYDTCrjK5Hjlmlp1KOgjh/v8RTxToc0+gFHgUIDWlGQmGcopQiTutfak5uXlE3vnBLb9BdOBx45t1SxFn9svU6nXzAvKrUgahyLkaRgKlIG1V5XXrV48/N6HNVOiRF6l1VLMCRakFdeW9sm43KrmB5QJkHlU6W0HGchFNLgvd+eIJ7H2tkfZYeKNuSppSdvx1Isp3bspkqcvS+ejZ5PidxrVp4WUzfyvtJixobUa6UeZteeYFX7NORYDwjA0klJsjGDVdWSGEM62YSfEfz4JMuKwPJyHIjBDobBFS4PYXtNnaFFjFFKcLWqjItr1kx6vEzulIVY5wpJY/OLu5Vq9tI6UJ5kY3XoSRaMwxThPQ4e3b+Bx5/8tkDzp4dSygJ3T6cPCsZhMJqnWJJqKZQc905OkCxvOLGg8oKU1M5+DJnRDPC4tUdAsoBj/nP9QiTl1tq5AAfBXfO3LJ4bp2T1Ev58Ocm+PM7G5ggZ27re5NlLfPdGkazlpQz0EdWqArbFJp27DamxYsETwUkuZtS7t1TeV7o4KoXbgo9bqrsrSWpUEitSaVCDhRvvnnIs0d6/NofuER+Yj9wJlkMgqgQKtmXzJlclH+f3BKEomWtSPRkgWa2ufXIipeX0+bWc7ZgjOCnmiQjtxQrx20Ed4V1OD5+2X623kBzZiUhydjfuf9pe5nYUQiy6EiX+XIhxi7eVX9wXJePjw8b114lCwkYAbsc191iVHNLYetNpBgDuFxDnsgKuLOCKqlSvvqQz4e+0GCYOjZjKfKNtOwmpl5ec1IJLIvPny+p5M9F5XuPEOOqxM7za5VSjpgM9SNd9sYUEqUovMrZLO9qEcJq8Bzk0taLa+2QCrtD3A99W4/7n/D5ymN2H1LytgxhA9eoPMsFyI0sA06EyCoLM/dCYlvWhLUJc6CLMaBXtbKoyJf8z5Tyo0wGjmrvcbCX60YVdzLLvNcDxY7tikZTkqYG58xcC20EnpMy20poNbKKPFECePwfHP9ja2nuUWCvrb3LwNOMAL8AfMGko8ydD1xXIi11+Jg8Ke8JUiYoJ6EfCt7zhxMcOe1j3GwDrTH2diXlzgljDD66Io3GICWEV73xTUFuxp6PtHhVmXyNKsO1Ak4tM0dFSGRqA880Uly4OeFnf3iF+/+dR3coQSSWxbMvo7WzGuS6EnBmbK6MAGmKANNkJz63BeUY0PNjZCqsm1cUGjEK0mpmc1w5FHRSPbxVgAuDIwT1QDLbcplsuiSpwbl8zwaEVETDLvHgvN27RplsL5Xnv41/iOLDSDMC9lFgZHZh0ahbblMxDmwLqmzngJytx4Ce79uoxtwTVZUlmeedpPA7n2ry2H4fI2WW0MnliUSKsYrBcXlSDSzH71Qv6MqbqzBtRt6oatSRQHPcSakCeRzYuWQxBpP74sKyeKoVQhuE0CituWZvzI+9pcN/+/gEUZpdwXkxthRoo4h0+cGNxPrxZEkcndmCiKwmpQS5zOVIBehajJXNjpGgZsyFYvSYjqqH51f8+X+jDTBI6IV13KBltyi/5ZWvxvcbnD7xNM88diu+7xZXmj3wYpVeHP+ja0uUv4TJK2N1RwanyzJgkhW2LjcfzR2UtcEtc2lScU1ULeUrDwR88JNN2gPPbvEgMubGypNin52qPKnUo4+z9riDMo7pnM1X6fKxY5m/GK1JqXTWjDG7LaHNZgbmDouwrWOplpkksCwuskctskH6QcyPvLXHI8943P4NBXVRItQAWqClIio2acu/VM7YtnjKZMDMvfAiC03+GUugm4r+rlYZ5sdNFzipTlqoMnepr6urZXU6b36LhaGdRLzudVdx3bVX0un0cGqBxPUUzbpmZiK0HySvf6iMMDBFK1X1D48FoGNMPf5eCfzR7S3K6rMqg5sRzT3K3vlmpOPg1gWoZaa9pZuw/6jD//yzJocWM5M/399TZh3omfZ2R9Lyo6xdBXeePRu3ShEVMIvnDzjH8W7WeKNsF7QHfZS1bYBpRKnNRZ4MkracVhRaPPPHpSaNNbumE/7Z27ocO+dw8LTAOJVoQVpazUEusu9hsDvq2WAyG8cgbGCptEVtUYgl8qzmKNBFUXhVWQlNlRwqBVgVwI8cMjG+ypWz6/PH/tAQpQqpXIxwcLxsGE49SJhqDdFGkGhJkti9TxKdDxk3IxZOeTWNBpCjjJ2/Z0ZkSRFUjLP4KpliRtk7v4tqFrNk7pFqQRHj+gnn2oL3/EGLz95Zx7gVxyQrhxVSVrYLz9ibMnspqGRoBWXH/Ahrj7XriTEcC0beGJEmlffKWeFloVNZF563iVnGHfW/s9YwYzd2zVk8TRVCGPtearfmc6TmzTcPaIeSn/pNxfkVAX5VqlCAPNT5EPys/0fkQabIwJ01PYjRqsKczfNMY/7zUWkythKOvV5lYFQQXtiKGpJsZESiIdGClZ6gH9lG7UQLHKUEUgXnAl/ftmVT8Jp+r0tvGBBGDlGsIIVUyKIlqHpJVbcKHNnXECs1qIBkfI+W0koaBfYqBi8cFD32vOqWjDN5guOkRGg+f1+DOx6qY4pETu6aWO2tRCVruUaNyerOnQqIxxmcNYD9l91WUfjYRZCxk8zrU2TldTWNnzF5PkMwB36qFQKNlg7aGNJEoRzNq1805I0v6fPHX7RFdjg5GlczuQW9tQUdbWWKnR2e79OZK53yZ0UlapHsyfQ2pbNSxGOUx7VYKXOyqJKpMCWDZxukxQlEiWCYCJZ6hubELJGWt9Xr/rnlzgD1nl/9Hb7tjZeuLHZZOXG+/z06OsrMpEOS2CbX/CACIwxcLWUd6bJZVdrKyM9V1fYbrxAskj5llaDV2qaiuU2ZpZQ6Y25tnRJVpuJTmfK5e2r85/dNcPScX2licEFloyCkxJcQZIPs8/1ubDKnksAS1cROlrQSZbKr2AhLlgOQxocj2WJ8uUZjNaN7EeX6v2C9ygAgOfo7IytiYe2O3qv5hhwwRsN0K+GSixJOnlccPO5khsl4dGfFsy6uwcoQjKqllscMZJ55/t6410+5SmWUWErfkZ+X/8FIzqDyM7uvKMSpYJjAwkDh1zu87XUbuGhH69/sP/zsA2969S12j577n/BxXZ9jJxpcs91l15aI/sAljN0ysKwGkuhvIktWM/Xo7+SsXZUpFfauMLrdfz2/aDRC5BdFml0goyBXImNvL+XkvOKDn25w4LAPDVWydpaOz9nbFaONDMXgygpzF5Zm8f3XaJyt6PLyOI0rlMxDGyPw1aRe8Z9Z2yrM5cqITSisFpfVqkMpEUahjUYYW3UojCaJNHt3xfzQd3Z56GmXY3MV0GYyJX80UhFnF4YWAi9zV3RmD2qRDcOHYpSENNWqQjtyv+gtqOpxYLSefnUzxIheH1sgjYEwFSwNJS++KOWWK2O2bk6JskjZAXjlDVciVYP2rohJ+Q0ct41UAVFstXiufcpgcTxxMwrqVZJlFejHf7+UJiNpZ6GfV4OPgjt3T2wr2lJH8tsfbXHX4wHU8mCyAnJhK88ckXnejGnrShazBPVqvUh2clYpkr+CNDFrvLZg1asLrqpZzgLUZbuYBbscec9oiRa2WdmOcFAZ0Si00KTCIPqGm68O+fF3dvmlP5Qs97MvWKKyBLmQJMKOT9bayhEn88N1FvgWZQdZKW5eJy4zUrAZzUoikHGgZ2Av3hvNjMsK2QqRjc0zkAw0cdrh4PGAM8uXc+WVL6DdHZQA33XBRiamN9x+z9c++t4/uWvqp06cmuKmyydYP6WKIZZ2U6rczVgrMCwZOQ8S5BiIq+W09vdKDT4K7FFwC1E6JlWA566JzBI6SiUMpeH3P9PkDz7RpJs6VneICsizx1x7j5bCmiIl/7x+d/V59YAXKWTxVwb6aJp+lL2rv1NupT4K7HFmz7V5PkbNZIGnNHYcnxAyq9G2/niaaJpewrvf2uX8kuS/f2SCQUWDF8kemfsoEqMlkbCOiasFaZY70NgSD6VLqWSDywqgM1Yf98PzP1c9tjLT9KWtnC0u2c/zbdvrgWD3dvi3Vw1Z7AkOnTr63o3b3nF7eOJcCfDJmY189z/5hb6U8ujy0gZ8MeTU+RquMkw0EwskxmeVjIJ91A40a77HmJSRQq+WMhVpIiret5RpIVuq7J0zt1QJOIZnD3r86e11Okk2EbMIKlUhT0QmTcpab4pgaUQfV+VJEWBWMmpjUrRsGvir36o+bpHwocrco6+rwNYFe2egFjLzlW2QWYxT0zY20FplP5cIFEJokljT9FO++1V9brvf5/HnrKwARhjc0qeTvS2JNKQCXCFIs2PpCEhFts2jKWOJQupRCS5ztiYPNEf7c4tANQO6zEgzL4aUAlwHJuqCzTM+E/46Lt0pCeqdow/c8R/6N7zql0uAA/ybd72ZIAi477772Pfs4zTrEkNaHPpSRuix9PlavvYowG09ee64jP881+c6+zf0CLBFfjFlzC2kRolRcCuZoFzNk4c9fuy9Uzx10Me4srACS2liZ3YV2luwRkq+EiaNMcoqqTLC4BXWzjXlXxnmJWuPF2IVVXfZD3JGl+O6HDGiy3Pwizz5k0VoNgGUyRWt7CoaGa68OOZ3f2qFd/+y4KlDAbjp6DKj8+8mySdnJZnGTjNgpxWiUAIbDwhQeYFdnsxhLK4xVC4EU7B0XtOipNX/VM5FVeP1+oZnjygm1l/Dnj03EoZDYAzg27auIwhqbNvcZPm8ZLKpCTw9MimqqL3Os4tFMEgBylHQjrJ4+bO138sBPcLuOYOLcXmSMbdMUa6mqyW/95k6jz/jkzoVQMtSd6/S3iPyhFWjLNaSJGu9X8D0r+kXVi3B0feq1YWjdeL57gujUqWUJPl2hCWL50CXCK0tiwuFMAahNSo1XHNpyD/9jh4//d8cugmWBXRSil8AVAl2JBpBBKRAYsARYnQCmLHgt1uqVDS5KXt/hTEV4ItSAmcsnncT5S+kKWcRDmNDu58wGKa0+z7Km0Gkg+LTFgD3XAfP9Q6tmw4Ob9/s71JyQM03+G5qN0lVZWvYSOmqGGX3MsAsgc8qtl7N3OOSpZQqepTVpUaKJJMsKY6b0teCD36mwSfuqBOq3CUZf7ToHdfeo7JkdJkc3Vq6XFLLPEDZEV5NSIgKqNeaijoC4vx55dGYktWrSaGcuSmSbmUJrTACYcqETwHyCovb35HIrHZFaBt0CgwiNfgi4W2v7LPvuMMHP9OgFwsbxRUSZbyyW1rAG1vRqAUk2EYIJWz1YbFRAKUPXpV+KjtGuS6XBbBLaaNEuXIV37v4f4jjmKmJGkL5h33PPRRF0WqAz67fzKGnb71t42zw0bTf+tnu8iKuq8oGgxzUymQSoWTs8STNWmCGqhavMnsJcEFVuowBW6QjDC6yhoZuJPjg5xv88gdazC17dvsFmduByp6ADOSSUe1dSpOqe1s6KuOp+mqWcgToIzSev/+/r8dzhFcLrkZBXwU6mbYug04yN0PqPMATZUo/d1awWU6yjKfI7EOhFWmq2Tij+Q8/0gEDH/p8g27sVnT4OMBVVrtR1pbnI5STXENnYJeMZYmxDJ5UJIs93qLQ6/nx18KWCCtZjtSwDG6IU0OapMxumAHV+Ohnbv36bT/wPW9YDXCAIJAox//C9ET0Jl+kVxudWHZaK21e9avlOPOWTspa0qQsUjcFw8vs51T/jYK9M2ALjcjArYRG+PDnd9T4lQ+0OLdccUxE3n+4mr3dCiuMDB2qShNB0S43kr3M8VsNMMckSxXp34y9n4/FbXNByU7lWImy/qIsgCtZWmZBpzBlAkUbKwXs3pU5i8vMUck3f83YPHNWkihh01TKf/iRDosdyUdvVRBkH7Bg8sqHz4+1KY8zRmIEdpe4DOz5MZJZDFQCvnwsxpWMPdqg05CarNtJZ9uH58kk4dEZqsf9WtXgSwAAMmxJREFUIPhClIwe3xGAb73o9Zx8/J/fO1EXD/tieHUYGlLtZNVjGSCLoC9n2VHWlhUwIyssnoOXytIv9OiFwPi/Y8Ft/2ZaAFwJjfQNh045fOTWOmfnXQhUpjOqnnf+2jJIrg1HRyCPVzqOA7Vycio0P1IjMSa9i4vgr0raVcdklWwZ7XKnKHqrjrbOM4L5prKUrF0BfLXE1rI2eT4x2/vYkkIaGTbNJrzzDX3uf8Lj8GkXvArI88hQ5BJFV4CeBTN5sXf+97PAMEWQiCrgc4fFAt8hb3u0EieXkUqKcmcJATK1B3iYgFYuhxeih9/zgTvufejTP//8AAeY3TALQjBYmWN5OSVM7PKX6+VRb3oM1FKXweKYNMkfc6Bjcn3OmDSpAj2XQGn272fg9gyHzzj8x9+d4M5HAvCzPPaIJMklSsneuZU1Mte7whzVZM+qGpRCU+cgHp1DmL/311ElVUCPyBMzKlVG5AvZ6LRVvngOYFNmNbVdTapa3GiZFU7JzGEpWVyjEEO45YUhv/hjbX7udyc4cub/be/L4yWp6nu/55zaerl995k7+9xZmRlgYAYGhkW2ARREiQETs6jRqIkJQZKnRn0kxs9LIurTiC9mExIlvkgCiuCG7MMIwggKDDAbA7Mx29237q6qc87745xTdaq672wMDJB3Pp+63V1d3V236lu/+p7vbwPgWlezFMp4GCtuQJ48J0hSd3K3O+OeB5SFN3MYcy4cSbQQAH3eFK9X9IYk8SsCwFgoEJSA+b2dEELiF7lj2gBw0vJbINQJR/u+hSjeqKgAta2cTR+yKocN0GzepuHd6anMph6loLYlSXXHEBrgGuyuxPYDDv7yHyu47d4iQjArBJZa9MQssLi3HeuRlaQyykhuctlU805nk9bByz2+wpEHvA3u9AKwLLqx3MZiW+777AVA9QVAQYQ+V1JqqqLeE0IgcASuXlMFF8D1f1/BjgMGMXqCKe291JCzLbh9sEw44iQH0uy3IAQcBKE+Vw4hybzJMRq7SCekHpU4e9k0XP/hy8MwjvGfXzkEwDmdiaBQ/ATxTlwiyJ7zHDKkO4CJVB2xovoMTbEnh4lyYoEbQOLsyZzCxOjJnKUXKaipsuCUATv6HPz5jRV8994iQmrKb9mc21JPQEGIive2nTp6a8tKZ/l2BuzJaZEZS5NeAOlM07bmTYcxfnlJEKkEmAkwMvf15DPa8lk8PO2WbMhGXj60OXlqxaV27RuwqwtEKpe+gLrLxoDLBH7zkiocBnzqxgp29EHXdtOuU2IDXC9SJMdE7Xye89HsQTHeG6Km+JKoRUCpMyFRE1WXagpjaIuUmNZRwupTFj20dNGcT4yPjTUc8gaAF4sl7H3ph6OuV9jseeQcBxFLym6R1GqzjE6dAt3m0xnQQh+0QwzDy0lyR9BAZwR7hhx85v9U8N17CwiTUDwb1BRZaVABUh0UJE6HQ4XDNgU6ITnAp+ewGd/Ofjb9PvsI5IGO/Puwrbd1Adh8O5+Jr8NZG0DeZBGJtdYUhpgMfQkIBkIBwSUcSFy1popYEHzyqxXsHXS0omL20sw+M0emeSSZDfz0SFkUhiZAB2Ep2AlFLExDYAIHWjJlDi+XCptv/o97Rj/4W5ccGuBmMAx8tLsrPL02Fp7COU21auMiJxawdaSfwxSdQYZuZE9dGsOcPdHKOqafUUDXFp4RxA7FN+4s4ra7A4QsnTymdIQhQ020tWVkco8lzQHWWOoMZUEjqO1zckirfTRDNgG/7bKHzFEW4+20gI70eT7yUAqauwi0NRdSHUIptLoi1MRTCLgcuPrSKja/6OCGm8uIDfdLJpZ6hxq4m95xE3NrxyPYVCU5oDo+OUM1mQa7Ay6psuoAPCkQMvLMnv6Rj07vqjQ9lE0B3jP3coR9/5tLuUSGEwcgpbKm+eg9h3G4HgdhAkJKVKvKu2TqOat9bwy2CDwJL5AQIYHk9kFJqU3yP2u96J5HfNz60wLq1LbWtiRoDoplvZHe0hKl1pq5Gwo1aTKxzbUzoG4ms0DfvSiOekj7QR2PxF1vKSkmPj8BdcbK52mKrp9iMGjLhzKf7panLUo3p1JCCgGfS/zGJVX8YqODnz4aQEKkDoLMgbCAzAFEEq4nVf35hgyPlOIBKoOsWqWQUgsHnq6qRBhAOJJsLBD4jOLs5b1yz+Aov/5Prjp8gAMAKf0awCduhbNlkYj3llwdred7IVwvAnU4wjrwxFaGkFOM1SjueyTA2DhVoLROUnoC1QR16aIIK5dF6J0Wo6sigFhCxNYtT18chBEQRvCDdQE+8dUWPP+SmwrZxAJ15mpPTSslSGbjGaUkmR8chJo0w2/jaWl+7I7CnGcmj3nQyxQvhocL7bIGmnDxPE3JAz6jtmTpSlYbl/qzip8TSJw4P8SXrxvBxxnwo4cDxbdZbhIJqcTvmKCzwtE7P8bKZSGWLo5UHa3kn7Ewoo3Z6BjF/Y8EGK8x1DnF0y96iMZ0W2vXVZ5VqYqMzp3ZNf6+d51/a6VcwNf/svlxnRTgbmGeHNz17RvhnfbRaPRHJc+R8N0QXIa4/3EHT23zMTTq4KHHPFTrDPWYYtMuBzI0gGt2ltRjR0eM3p4Ypy4L8Z5LqzhjSYRSWUDWU+tEKAFxgDvXBvj018opuI2VRs5y25Ycqe7dIAXaoEazySRSS53n3zmr3vjZ9MI+XJAnoLa2bygZgXTymQd9Q7w4UiufFhTKSYh6HRKLnrPmNug1wJUl50AILJ0b44ZrRkEB/GCtj8SamJ2qA8UWgTOWRHjPpVWcujTEvKkxOjo0LxWkceIJRY9EBLzz3CpCTjBeJ3jocR/DowxPveDjgV8VUY8l4LrwCMGlZy3qX/vYczd++g/fMenkblKAA4DfsgI8GkRteB1Khd3Y2c9x43cq+MEjJezsY2qWG5oZMFVBHr6BVG7npZ6MCIGBMYqBjQ6e3OLh4fUeLlhVx9vPr+OS0+tIkrwZcOdaH5/+WhnPbvNScGeQlughuYlmar0zDVuBNEQARuGxgZ6qKbY9ama5SebVJBsfwTjox2Tq4UQGxFYMS+LxlDlwZ1UWoHGSma6jqcU2vFzLjISo10RyyAg4cV6Ev7lmFBLADx/2YaywC2DN2SGuuKCGC1bVsXh6pHrzRBTRmAMhqP4dmgO59mhTgcUz9VxOCqyaNwEBYGffOO56ZBxf+047tu31MWV2K845bTGmdlYOduQODvBCaVq9Pjb8B5z2/tc3f7K39J2HpuCRpyuoRRRgetZQQCNNyJ8uKTS4OUC5Lh/FIQXHpp0eXtzj4L51Pj72/nF86NeqYAz48Tofn/paGc9tc9VeJmTYnq03MakgyVa2G7jBWluWPCPNWttmfsYGd26Safh+HqhHgnVbk2i2GBuhQkKkpX9bXBzGcqMJuO3WgE28nERTH6FoYVovJQW9uRAgJBABJ82LcMM1oxAC+MnPfDgM+P13TeC6941jTieHxwRECMTcgRCOLlDEIARLLqjsRa5UuSg2krTQ5buBWZ0EH3yrxNIZQ/jWfRIxWzYuwf5g3tye+lEDfG//sOhqX7R+V52N/NUtL5f6xnywgMHxJeI4BqR2/Deb8OUBLoUCt4jVfch0DvUkQg5s2evgr/+5jJgDC2cLfPwrZTz/oqNMggk1y09mCGnyPI1j0F3JJ3HopBPO7PpJ1BN7Ixu8pBHIhwvyRi08vwHJrEwvgpQOpBdBlqLABjIsypKx8o2KCogFeHNBaCdMqvTrKMcIWDY/xpeuG4WUwMJZHJ/84Dimd3AgkuB1QOi241wokHPBkoL9BuBJcaBcoB1VsQTggiGKPHDBsGJhjCW9IWjXGSMsmL2e1/sEDjIOCnDBpsFx3b4d++hV77jwrAcfeGi96zgUu8coBjnLgJvo8mfGvUosSsYlQywZhGSqVYg57abLEhWAAxwYprj/CQ/jExG27WA6ltKCSVMibN01zOQSaeSanVuZSZ+yQW3BJsPDofi3beEPxkJI7slBVf8c706+13bRWxdCxl1v8e3M9iYIK0dTkHfnozHBIuXxjcA2kYrqq/Rd0qiCHJg/m+OUxTFWLY0wpU0AESCFsfi6CCh3wblqWqtAbuRJ89/LJL7JTk0kVEAKiloYoH+4BXEcY8ac06K2UnxVsb21T8cPHB3AZ3R5eH7jSzh3xZzdbV5tW9i3aXHfyATCPTWM1+oIpQ9QF4xS+AwIiCq/QC2rJo1SJAiqgqJuHBbg0C1wAaGcYxecUccN14yhpUVi9wGGb9xRQJ0TBfQGKarJbA8m2dUO4kknmTaw7aCqptcNmnDxHA85KAUh5ODv21i3XfHJN6cAzADRfi/zGRusRla0rba9Lr/QSd9LgA1ASpoNsaBAPSb4lzuK+Ob3CvjufT6KgcSaVTUVzitNqWcGzh1EsYsodhBzlnJxSxJPM8ZURzyHxXBJDLAQw+MBNr5YBHPbMHX+advcwqLdI4Pb0dox96DH9pCireNQbHhq/faCLz/0tgtPxFvPkPjse4dx3kmDoJKDEoKSA1SYRIsjUXIkyq5E2RV6kSg7Ei2OQIVJBIyAJLHaBIgAyiUuWFXH3/3ZKBbOjDG9neO6947jklWhiqBvZgsTJ4/NzVNQMwukzS12Dty5S8jm3vmfzYA/w+HTrQ+bf8uDrEp0cZJBcTa7PgtGewKaUVuQWniRsfjG/Z97brm9pGz+3xAXuPtxD1/5VhF7Bim27HRx7ZcquO/xAIIRUBfao08Rc4YwdhFGHuqRh3rooRa6qIWeXlSZknrkIoxdRJGrM5IE1j7L8BffbMVdDwtEbDH6hvChhx95Yjsh7JCH1znUBgsXzEZYn4DrFfbs3EYeHtn92Lnt5SE8+JQLhzpwGUELkyg4Ei7THYF1EikhgEmOjQXgqvByxIIi4hSIJGZ3Rjhj+QT+6sOjOGF2BBmpsmBzp8RYc3YdDz/lYWjCye1pMz6ePmQD5lP1JLmz2EoKGgGbn1A2pyfNa+dltmnYoBHEWXyThjVJUJW+gKTmNvnM+5R72xPKvBWXCcUw35ECn6Q0hdivkfBy22lHHWBwhOKenwV4ab8DOCokdvN2D9d+uRWf/TDB6pPrmNEqUI+IsuAGwJEDzqmut2hN+nUzg5hxCCcGoxKRU8eOfQT3P0mxZEYL2qfMe3jFytV7xieqKJeKrxzgAOD5RYwN3r912rTSjaMjs8/9h7s24sfrp4JQD+2estK+k1aEUs050/MrpAQXKuhPAhjnBNGExMLpNXzi/UO4YnUVXa0Com7IqwRzgLefU8MPHgxwz2MMcKwTnyG76WKrJ/nw1wb1xF5vvzZAJeYbbaySxBvdaKsb61cfCtz57Wy1RDbZLmOd0cRSJ2osgWTIgNumNw1WX6bc2vgazU6lr9NL19w8H3vOxQ/W+RCCKYkYBNIDNu1g+JMvOrjirHF88n3jmN0lMDbBUA9dVOse6pEDztOLKKUnpk0NhXAVWFy3gEtWjmPbZbtQaF+JcVG+8ZbvP7r1vVeedTjQPTyAA0CpbSaAyvq91VPuWLelduXLQ3sxrRVo8yQCR8JzVO0UVfzFtpaACTzzHQkQigNjwPyecfzFB/tx1QU1eIQiCp1EGiJEQNYE5k2P8a41NTy52UP/KLX21raMJPPS5FqaFY30RGbBbKDSxFLbYDcndjIeftiUZJKRWksLzbmn9jbZkhIGhLaKIpMJabLenqBK6zuRWn0YPR0E6QQwOygF+oYYvndvAS/tdoFAT/ah4oMkI9g/7OHbd3uoRQzXv7+O9hIwXvMxNuEhjBkEzxqPpKM1k3AYQ8w5uFBpcJVSjE+9fw72x7137KvOX+/TgcM+rocNcEIWYe0v92w/ednF17Z27GC9U0auKKGKki775+hCLMaLzmjWOoIo0cR1gEprDb93+TDeuZogrpUQCpJKQzQtoAnBcd6pdczt4ugfciwrbh7tqyhrnZuqJ2jcp4NREpuDN2Mb+Vih9I0jRLc1Gqx2Qi2Q4dNmW0MdUiuMlKLYzzPqi4691pp3JrkCxPpekrmQkl91JF7qo3jwST8X0WlVMihS1Dhw+7oSqDOC917sQ/ICRidcCKEOkp1Fle9g7TgUYcQQRQSEeuhqnXnX0oWXXLsU23cQMv/YAxwA3nLqNNzxk5/v+Mg7T93wXQxcsXnzCygWXLg6W4yZSqGUZLuHkbTr2PRuihMXCKxe3IKRUR+EcDhOrDsRx2DJvFdCxgKzu2OsWBbimR0ewsTCWXKHRb4b6YnMWuo8uNEI+gzQc3htBvz887xpn7QxVQbEjci2XfiGIsgE4SZ0NrXOmc9IkrTUNnJeGsdiXTDEBnVOEsz+56lJIUA9JHhig4ddfUzpwklqoAtQtRBK4XkEPoBHni4gAMOy3gC+Z7rSSU1ntd9Cd/KggO68x+AyiTEKEH8uOv0LN/TtfmxH98yzjwSyRwZwADh5YQ9658y4Yff2F+aJ+tBvjIwMw3NVYkECDGJ2WoHacQhchyLwKVrLFK1FggODbYjiKopBHb4XQjgx3GQCpAR/HnOUWjhWLQ/xvfsk+mporvvY/NoGbbPn1qnLx3I3KCJNgA/DzUmz3ZDpcTiMYykPtl5mt0n9PSqDMqUVSKxv9jMG2RrQJL0A0gtG/2fNFBdk7xTJXZJKjNYJ1j/tYWJEWWplvTW4mQdGGUoMaHElKp5AR5FiZJRg1z6gtUwR+IDrSLgOVN0dmk06gebkDhVoaZkK4i+6tdJ1+g1Dg7uPFK5HDvB58+fi9jt+PLx44dwPbN68aYbHaucAKtqMC3U4TJtlxggcpsDtuQzFgKBcVP9ItebAd10rSRmKfwuV/iYp154urq7uhmSJLGTNBDOpT44mIM9n7hhOnuPf9i+kP0Wavp+/cF7xSFQTK8jK3Lky1jizeUYKTBw9xHbwIOvBtJMnZGrBUxd9noPbCr0qMJ9agLShFyEUBQaUHS0VexJFX+3dWDUGoUAsGDyXaGpL4LC0xBugivpwATjMgV8srWvvmvuBDU/dO3HKaRcf8eE8quDlX7/ybehoDSbe+54rwmULO9DdzlAIGHyPwHcpfE8tgcfgewyBz1AICIIA8F11WxKSIOZKLoxipsR/7QAwDgKpe2LYXr3mMLRKgiEFrp2WlgHjJBSjwcmToykNcmEDqvVFYDkvmu1xBs8GqASN/2felW/Arb8tk4mf0cFTyc+mF+ZzGWAncSv5z9sTTfNdtpJljkI2XdChBAGV8JmEp6NcqZ5/haFArcZRrXHUakCtDtRCoBYS1CKCWqSej9cI9hzg6B8rYcnyS8Na6B4VuIGjsOBmzJ/fCynF41H15NV33/uzwvBolBZ7J+rRYYqeeC5B4AGBK+G5ahJBYJoo0aTfOpcULHHhWnxwMl3NMr1mYplacnMOLNUkd100A2qeRucdQ00nlHn0Ho05l80/1+j0aXy0EyISwFuUBJZykkYVytQm25NX63gnFryBkzc5BzrS07RitDOopAS4kIhiiTASoFRHM4LCFQB3jPpGdDMAAeZI9M4/sTp9xtzHKT0qOwzgKC04ABSKLQh85zMLTjjr74ajntrYRATGKFxHL65aPJfAc1VjM8/RpZgN5bBiktM4CGpZk2ZEl6SPlklNbAlB4wSRAMZ+ZS19etvNWnrSCGorViVdbXc8ONjROjLEy0O9Tni3RSUsHVzY78GUXyaZz9uezayLPm/BiXXHINl9SeYqad3HNAYopZUSSCtRxRJhLBDFHFEkNOiBMFYL54Dvclx87ozaZW899+8Icz7T2tpytDA9eoADAHVK4tbvrfvsrGlTvzC/d0YYeBSeS+E4hnsrWdBzANcRcCyA0xyvTqwHsrfSpjjJyBlp/ElKQ3JpaGhMcrCpCGnyG40u/hwHb4bZI7Xck92Z9Hu2RbYB2eyj+QlhhpODZLi4yfoB7O+1FJMMyM33TfYPE+sV0QXcNFe3LjjDq2MuEcdqiWIVGhtziZgD9QiYqAkUyz1hqWXmFwZefvSzbZXSQaMFDzWOmqKY0dNJQtef8fmJjlq47+Xhz+3YG1NGmdLF9aLEe6QAZ3bpZeu0ktwNuCnHtbmfxb9JvqOA7abPyoPp71mP+QsghzfzXFq/nKEyaPLZwxzN3PaNCoYtB6avpbVNasmtyWlGNbH1cTuDR22hkpOt70LuosiAGZlfxyT7JqTi38KAmwMOl4it869EBgKAY7jmiFlu1+fgTP3ylu3DIV7heEUWHACuuOKdmNszVF21Yvod8xcuksOjEQjRXk2aNnVSj1rEz1SntcpNADBlJ2AVEGKOlubsSknWYbbpiUkHzbrfZQbQxKIck7GL/ETUPDQkjaPx9eHUJMyPjGXOId5ya2W3tyaYk5WfyKguSTBV+jotBZfSwjw9SbOJ0hBXzm1JR4U9S6iK8hxWjyBjuYUE59CLam3IhYAQEjGXEFKgUhJYseIkWe7qvWPz7mr18re/45XC85VbcABo7ZiJnhmVLfuGWj96zmrvH17a9gx1mExyGZVwbyy6rlbLTOu/tGtxUi0LmmZQgbhOsHMPQ40ToFmGMFQ0bdKBArlYE1igRx74aGLhSd5o5yyzvqgORrsnmTAeciQSYeN6O08zCYixXfOw8G6BPpPxk3PLJzHlyE1CM4/GetPkQgiYwMweDhoIXWpCAhAK+IaOSANsq5cl00AX5q5BIIQE50oSXnTCStE7f9FH696sLSTsPxbQfOUWHACmzVyJbS+QcMWKM2+a1u39We/sCigNEcW6+BFB0iLQZRIOE8nCdDlmlqmQpctUOAJ7+ynu+1mA0arWmxJZiiZASzqjwdzuGulG05DZnLJiqyoks8LaIL9qEmp6RPiWzVfJSb4lU3lWb5wNjyVNgG/yMIHUpW/zb5LQlqTOismbtBOROUElkFhzTg09HbHKnreupFgCkVRNWWOpmrFyrsqJxFxbcal6aRIQuA5BPayDuS0YHqd/tnz5ypumBGPhqlOWHgtoHhsLDgDzFyxAfeJlfv7FF7/w5JOto+ueua+FRBHm9ChnjsMkXCbguAKuoxbHNG5lVvcGkq11WI8pxkM7e96gUoHcttrZ57LRWtuAzj+31uWpS77QZjKaAN5+j0z6pg3Wg78hLYueSobaAhIkDh21rY52tCTDzEVAkOjZGdXEstRpXHjuMSknwQAZo+QK+K7OtZVcLwJcUoSSIBISjgAYNx5tCUcDnXP1e5QSdLVJnHRCgJkLVo8uWLj6hS3b9vNF8w8/1uRQ45hYcDO8oIDHf1W9a8asM/7ownPXDLS3liEEh+NI5Zp1OTyHw3c5PCeG65jMDd3nUndOI1QX23Qk7nvCx4v7HN3DgiAt7EOTf4ARqxVgg3rSWHcw4ftoYrWtQZqBNLkwSOO2TbJ4JsN3o/OqieYts9un8STpZnlXfpZWkKbvmdbcSQKEIElsdrqewpSUSL2deh2n6J3KcdHKurLg0Dm3kkNKgboAqkJl+9Q5UY8xQRgDkZYK41gi5hyFUivOPPOygYvOPf2P5swYuKtQKBxLSB47Cw4AhLYDAIaHR25565qznakd7IYXN63rdjAE3+MIPI7Ai+H7EXw3hutGcJhKTWLMWHJdFo4JhCGwfqOLvhFHV5C1sve1emLngGZahCML6jyQ81a92XsZhOZAnX4nyW046dE56LsZoJLG9UZJgbVdZqJJGr2geS5NzFwRlivfzHhytVNo0hlClXCjkuoMGwrOKborEU5fEuKbP+aIhAMQnVBOKGIQTOj9FXE2UItSpahN1Dg62is4+ZRzD/QuOuuT47XolnJ5zrGEI4BjbMHNaG2tgFH+r6effsaneuctOsCY6vVTDGIUgxAFP0Tg1+G7ITw3guNogCc1Dzlcn+OZlxw8s8kHTBkvwjJUxc6eT/IwkYK0IR/TKCpNgJwkOOQVEXtpxq0n4eBHwsIzygly4pv1olGUs8U6kpmMpno2so85StKQjNxAXbKeZamBDhCctDjESXNDoG7RFKGoSiQkxmKCoZhgMCQYCVUhn4mQoBoKCBAsWbrkwMrTVn1qohr+a7l89M6cg41XBeAAEBRasG7d2pvqvOUTHZ09Ay2lCbSUqmgpVdHWMo628hjKxQn4Xh0OjRuKeUIKbNjm4qWXXSSFNa0CPwTq9pPvlpZYcQAkx8MBC/h5/p3iJdlusvX5dQ3PJyXWTYY89OeyeneW3tjuddvaS2ldFVCOnRTkJgwCmYmnFE2Ska0iQcqa06S+Se80jmXzQmW9JUfCx4VaOA9Rq4cYrnIcmAAO1CgGJggGxoBZM2cMTJ/a+omfrVt7U3vbwYv3vJLxqgEcAC5a8zZMaR/51oyZU66ZPbtjtK08iGIwBiGHUZdj4HIcDquDMZG6zYkAcwT6hinWrQ+wf7hJt2JtvfPdGvJ9dpotCZgwicKC/HbZmaS0tm/Qx7Nff3RSoRn2BFG/JjkT3iAPwna/qx2QliVP/AhJ8nEjNREWoEV+nY4bEpIhChm6WyXOWVVDV1usdMGkZLAERAwqJlBmA2hzD8B3BjESRXh5WKBrxqzR7p4Z17ywY/Rbl112GV7NcUw5eLMxf+Z+QVhwaxxOiWlc/eZzW58J/ue/dmFkvITTTxjFdVcNo6NMwTlJCt0zR+CRZzzc+bMCJPK95pWm4RBFy7P1T9I6KA1tuZFa97wOrrDQOGkEJgE+0vfyn2lq4HMb5nl2sh6NNCSpC96EYzfo5hJWrJSlbZPUZU6SMNqs9m3eS2qFS11yWRcGUjzcUBQGQTiIJLjy7Bp++GAddz7sqcKYBOp8xcD0SoyPXTWM0xcLDFU5rv/HKpy202ozZvX8/jiC2/cORK/IDX8441W14ABQ7LkWcRjx8vQ5t+8cmvk7P/zV6bVHNnRhx64O7Nvfjf393RibKCGKXUhJwByJ3f0Et95bxP5BV7XjTkCuaIqZXNrtADO1v3HogvZAc6A3D9RKBzF/DyERqodmZn2SkbPWDYqK9TKjkGSUkvQ2k0lcTjh5jnNnVJImFl2kVlwKTU2EoSrKik9pk7h6zTimd8a6xAcBowxln6GrpYwplR7M6pqKU+YWcP2HptcuO6vld7ZVl98+UJX876//7Vcbfjh0YYljMP72yz9CZ++F8rJLw413PzR307SKf3mnP+QumlFEW7mAQiDhu5EqzeyGePhXDv7+tgpGa76K1kpSoVRAvUcBnynm4lJdqoKZbly64Kax7jTN+UscQuYxU8vTdNhtXE9MMaPkOUkvIGo+R6wFh3ierYtIrUf7IswHjBFKGqTQZl7bVLKU1nP7IicZh5i5whuUJJImcCfPCZCU3SDKI93ZyvHEFg9bd/kA8xG4DmaWBeZ2Oih6ZYSRj1Lrwol5c2a+70XZf/sfnvWy+Mh7PvRaQO+1ATgA/PiOH4K1fAAXLd71nFua+WJPl7emrTQRdLbGqJRDlIs1lMsT6J+I8E+3t+ChJ8pAkAJbPTIwogrYulRV0TL9d9Sj8pjSBOhI2kInUiJtwtWpAg9JtrdPsEmkTkFNk21TsNI8wOnhAdy+s2SAngNa/jNJQFm+4K65WC1wG4AacJvXsAEN86fxoiFWnJBdZwZE0e62No7xusAvfuVjrObB8Vy0+0DFF/Aciik9s4fbOuZ85Iab3Fv/+LIOLD31D14r2L12AAeAB356O1aveT/OWzV1Q0dHx8tzZnW+pRwcKLYWDqClPI5dQ3X8210lfP37beCOp0BNXIC5UJX9CTyiWmI6FPBMIJcFaKaTn9P23E3qglsgSbexwZq+Z4DfYMkNkDKgJdnt9WcmA3gCvGaARiPQ0/2XTcGfvQs0c3AZgpWfbyiwZvfDugNoImTa99kUT4JAcoKTeiPUuMDevQT9Ex4gCGZNbcXZZy7v7+zq+djL/f63LziN49TVrz4tyfxvr+mvWaNeHQSh7gdG9t//+frgd7p//uxe3HhbK9ZvLWGi7lptK1SuHwgFo0BAgYK23p6OUHSoziKhKU1JgZvvP48MkFOgkyzgDRWh1vtJBnhqwbPbkYx1N+sJIdb3695B1NwN0OR3TRkFJAm5yXN9h0rfl5l1LHku9AUpk88TS0q1nzPTNY+aIDiZBMIxyuHoUAqHcTATXpF4npXvwnU4aiHHL19g+Nv/aMP2fQvxsfdecuC33rn6z8MovnlKV9txwdmrrqJMNvxCO6Qcvblz5gVk02jtb7/6/Qe71z0VQ/gu4FuSgUYkIaoGvptMKvMTTAvcpBHcTWW8wxj2rTqzPjcZtW/x2XDZQ/ya8UIaZSXvyZTQHsW0eE/DVx4yelF93ny9WSeg2mELCUBQgAgQTkEgVPwNUYXvVfkJS2GBKsLJJYXkBBxAGBNQIrBiAcdff7CAzWPnHLjk3HM/VRfy5qld5WOKnSMZxw3gAEBICzZsq94UO2+L3/327q8MVB9u3757AHUhEVmB+CBKFvSItACerQNuA9tYsfzt27695vbkMHZWJifdRnYG2Mjevg8WFm7jWULLWZbMJ+2Nch9KQ2KzwViH+s+kdSVJqChXQXUYCQUkV40NiC0VCgJBdZcH3TiWEAkiKCgAAZkU1+TcAfO6sWjJ5YOnTVn1cUInvklIx2uEpubjuAIcAE6cV0AchbfM6Fwx8Ny2PfOLp4VfuOWux9x9Ewxw1O4RpE6dpl5La2KZFJOx+OKhrfckJpDkXmSwbeVjApYc0SgvNv1N+yctYBPznqVfywyw9UqSVRYPZ0jtpbIzfYiJUZEK5AC1OL9Ud48kLsV4NyUkhNoXAlAaYXTYQ6HjoigoiU8UO85+gYvyD13mHuEeHvtx3AEOAI7riaee3nTXn/72ld7w4C8mls2b+PqX/2MjeWYLp8SVoC5L6Eljze+Umjg0zSSyrTaQ8wpa62zwNwWMbZFhWdv8JNFa1+Dan8TC2r9vO2TMo30RNLjnD2PkLzT7OKhHqn9ftQpkqnJnMmdIYsOR6uSm/SAD4HsxGAW27S2LfdXz5bTW5X88e87yf+vfvzvsmtr+KiDlyMfrAuAAsPzkxZD1R0LMa7llas+0B5/bTq5es2Lb/7rvyV14fncXfMrgMtHgmTK0xIDboekkE8gBIxd+SmxAIYsFG5eZ9fYdIQeeLEUhOBzmY37fWO6UbtjljRUPN5Zbb5r7ZZl5SWCICJAvmpTNs1QfUH1/ZPJtjEpIatcmVM9j3dnDZRGe3BxjsHYCFsyZ9ReDw/P+iw9P2bnjoa3h5ecvf7VgcsTjdQNwACD+WQBQvenbt27+4ld/9/OjT/2DN/X24mf++T9HGK+ruiuxIOAydcEaJYJR3UrRtK/Xzg2V9KpyBYXtByfqNbOJ8GQsxZpFEut3MxPQ/EzzECPzcxYFIXlebZF1OyqwSWih5aiRyf6YeHh7qDxJksSBA2o7wdQPECJ1ixFNuXQFBCkJOKeIYoJYVLC3ehK/75kFf/2Nq2d+Pl6/n69cteC4YWey8Zrq4Ic77vzubZCD06RXue7Bxb3/5fuUrBoYGHRkHGKoxjEWUziEwKOAx6RadHkKzyHwHALHSYuBSujMbpm16AASIKgow9SbafTtVErMS4C2cyjVwamlfRttPdtnc5Kem7AumCb0JyttkjSRI6/165D5VELUILd6gwlJwAVFFKuFc6KTINJ9Y1TqzCsOz41R8ENwLjE6UQZ1O1HuurB+8qnv+eK733b29dvCK+Qfve89xxs2TcfryoLbg3jXYHBwBJGQn/ndqy+iy5f1rv6/t36fLuD9q9dvGXD6BjpQ1Nn2TAfRe44uMuSQhKKEkUp0NbU5hA7vMXozhD7xNvfNcZU8RbHXp2BMFZZ84aDJJpm2EppGA9r0ScuDTeYJdqe1hmNntO9EL5eJy11luisLXY8o6pGy1A6VcPXBoVSq2tzamgdeiF0HRjBSmxX77qxHe0+8XFQ65j/KCP9MvTYKP3h1YrmPxTgSSfi4jvr+f4cX+C19/YP//G8/2vbuL36LUw8T6C6rJNhSQFDwgYJP4buq4CchwFhVoG+IY7QqEYm0owAjMvF6OsxMUolV7gK65HPq0GHaccOMg4fmHTjZ56kFtp5b3S8O6llNnFUymVMwyyozq4CSY8oR65ozjJqk7qzjRl1IBFHMMDruYf+Ah5EJtc+uKxF4EkWfoxBwlIsRWgohSsUxdLVR/OiX08W2A6f8p0TnhwmpjX7uT3/teEPisMbr1oLnhz/ld7B///Oj7dOCa85atXfrmheePXFsePDKrZu2gAQMnsMQeAQFn6IYMBR8hoJPEMYRDozF6J8goDCVTBWYAc03peJqOd9SZiT81uIS2eCllIJkP0eySoqtjCD9UQJkCnCmndfSfjwpvZKpfGgmo9Z7hBip1HRMEIk3kulWfUNjEbbvJaiHLoKAoOhTCCFACVN9cmKA8xCFloUghZY7zj3rrA1nkDlfpZgYXTx/8fGGw2GPNwzAAWDKlCUA0PfMxh3Xf+Hji+c8+sRGPPVM95XPP/ssRDwKz3ER+AzlooO2MkFnm8C8GWPg3hjWb2+DK12UPcXZJZMW32wiI9oReBZHNhNNnRU6CbdOOXkmUs8a0prsJhqIbKQqGS2cpulpGYVFNux64oJ3qOLRLuNwXI6CF4GQKtZvDfDAkz7mTxVoqzjgZRWpSRADkqOlpQVdM1agberCO1ral32sJRrbHpRnHW8IHPF4QwHcjJNOmI1de/q2n3fmso93thZuOee0hddue2HzW7Zs2QLBqygVgM42jhndNczpGULBr6EaVTAmKTgEStr/oG7/qRs8P9HTiftJoFLDxDABsxVsZU0sYV0c6RdlJUpAt+dG+lxthCSLJ6+epCqKlbSA9PuS/0HHk7gOh+9GyWSR0BqqMbCtTyBwCCQiVQmYApVyGdPnzMfChfPXlsvBVysd857mItoelOce79N+VOMNCXAAmDmtCwC2Sim3AtjwgBtPO+nEE/5p544XFvTteY61lauY3TOE/vFxrH26FfXQA3EiDNUpBFSLFYcBrtX/JlFTDJduSjnU37RqF3LgJqmTKe8Askbe6gqp1Q9okEuACGPBrbAF83mk+ZWm/p+k6aTTOMAcJuA6MQI/RDGoQUoJ1/Fw/skRfvLzcby4vwWBK9BaBpYuO4UvWbJwaxTGH5mzYPUeAJuPpgzd62m8YQFuhj4Bmw/0DWwWgl9aaSnMaFl1ym3jB+6uEPSV/v1uDztfbsPy6QKXnLUPj26ieGzTFBQdioBLCJYqJ0l0H83KhGqY5k32hJCkkYKUZOlMQk0aAWI6NxCSLelARLofgAI80SoPy/pxAGhdXzd0EiTNyAE0hdJRgg4T8L061m+q47HnWvDWlRXM7qzj6vOG8L1HWjF73oLx3/vN80c8R1w1a/bM3YzR7W90YJvxhge4Gd1dHeBCbp/S3bVzfKy6LJi2+sydB1b+S3v3S/GZS3d19HYNt7zj7AKWzNmPpza2Qwgvo7AZ17+qwqRaa2Tc+DnHiqEhSdF/mp10mm3soaiETNU94zkkJEMzjGxovsMyzClF0hPQWAJUfw+lRF+wqglV0sWMSggR4eafFLFp23Q4PMAFZ1ZG3/+uroE1F5/o7B0ofeiERfN+XiyVhgGINwu4gTcRwAEFTgBCii2DID13E2d00V9e+7n6xk3f+B97dz7xu37xiWj3IDthSns5qE/UEMaqzUbgamtNVRi666iaeUBaUw9QegVLZD5iSYkK4EA2vsTm34l+rR1O9rokw1JCt5cyQVXpJBh6vZEIASCKgYiTZHtKhSpsqXeEEg5KYoQhgeN24bQTWC3mUzbOWbDQXbj8jFs6xi76Utz1Pd8vddc27+wXpy45fmGtr9Z481yqk4zt23eAUoe8tPXn2LArZAPjla87Ilq0YeOL5zy1ZR/zeBVFN4ZLIlRKDsolhoJPEXgUlBKMjHOMjHEQAgQe4Osi/2ph8DxV7J9q178BcEbnRrYIvBBCF5/Mqi/qsyomRLVepPBcwPf0b7sSgScQ+AKUAIOjFMNjaj8LvkQhECj5MUpBHS1lgko5QlsFEGwuL7fPW9fRKjdv3l776C+fK/O3XXIOoiiW06a/8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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 66853195
{'hecke_orbit_code': 112589990717822442, 'n': 1, 'trace_an': 1}
-
id: 66853196
{'hecke_orbit_code': 112589990717822442, 'n': 2, 'trace_an': 1}
-
id: 66853197
{'hecke_orbit_code': 112589990717822442, 'n': 3, 'trace_an': -1}
-
id: 66853198
{'hecke_orbit_code': 112589990717822442, 'n': 4, 'trace_an': 1}
-
id: 66853199
{'hecke_orbit_code': 112589990717822442, 'n': 5, 'trace_an': -1}
-
id: 66853200
{'hecke_orbit_code': 112589990717822442, 'n': 6, 'trace_an': -1}
-
id: 66853201
{'hecke_orbit_code': 112589990717822442, 'n': 7, 'trace_an': -1}
-
id: 66853202
{'hecke_orbit_code': 112589990717822442, 'n': 8, 'trace_an': 1}
-
id: 66853203
{'hecke_orbit_code': 112589990717822442, 'n': 9, 'trace_an': 1}
-
id: 66853204
{'hecke_orbit_code': 112589990717822442, 'n': 10, 'trace_an': -1}
-
id: 66853205
{'hecke_orbit_code': 112589990717822442, 'n': 11, 'trace_an': -1}
-
id: 66853206
{'hecke_orbit_code': 112589990717822442, 'n': 12, 'trace_an': -1}
-
id: 66853207
{'hecke_orbit_code': 112589990717822442, 'n': 13, 'trace_an': 4}
-
id: 66853208
{'hecke_orbit_code': 112589990717822442, 'n': 14, 'trace_an': -1}
-
id: 66853209
{'hecke_orbit_code': 112589990717822442, 'n': 15, 'trace_an': 1}
-
id: 66853210
{'hecke_orbit_code': 112589990717822442, 'n': 16, 'trace_an': 1}
-
id: 66853211
{'hecke_orbit_code': 112589990717822442, 'n': 17, 'trace_an': -1}
-
id: 66853212
{'hecke_orbit_code': 112589990717822442, 'n': 18, 'trace_an': 1}
-
id: 66853213
{'hecke_orbit_code': 112589990717822442, 'n': 19, 'trace_an': -8}
-
id: 66853214
{'hecke_orbit_code': 112589990717822442, 'n': 20, 'trace_an': -1}
-
id: 66853215
{'hecke_orbit_code': 112589990717822442, 'n': 21, 'trace_an': 1}
-
id: 66853216
{'hecke_orbit_code': 112589990717822442, 'n': 22, 'trace_an': -1}
-
id: 66853217
{'hecke_orbit_code': 112589990717822442, 'n': 23, 'trace_an': 1}
-
id: 66853218
{'hecke_orbit_code': 112589990717822442, 'n': 24, 'trace_an': -1}
-
id: 66853219
{'hecke_orbit_code': 112589990717822442, 'n': 25, 'trace_an': 1}
-
id: 66853220
{'hecke_orbit_code': 112589990717822442, 'n': 26, 'trace_an': 4}
-
id: 66853221
{'hecke_orbit_code': 112589990717822442, 'n': 27, 'trace_an': -1}
-
id: 66853222
{'hecke_orbit_code': 112589990717822442, 'n': 28, 'trace_an': -1}
-
id: 66853223
{'hecke_orbit_code': 112589990717822442, 'n': 29, 'trace_an': -1}
-
id: 66853224
{'hecke_orbit_code': 112589990717822442, 'n': 30, 'trace_an': 1}
-
id: 66853225
{'hecke_orbit_code': 112589990717822442, 'n': 31, 'trace_an': 9}
-
id: 66853226
{'hecke_orbit_code': 112589990717822442, 'n': 32, 'trace_an': 1}
-
id: 66853227
{'hecke_orbit_code': 112589990717822442, 'n': 33, 'trace_an': 1}
-
id: 66853228
{'hecke_orbit_code': 112589990717822442, 'n': 34, 'trace_an': -1}
-
id: 66853229
{'hecke_orbit_code': 112589990717822442, 'n': 35, 'trace_an': 1}
-
id: 66853230
{'hecke_orbit_code': 112589990717822442, 'n': 36, 'trace_an': 1}
-
id: 66853231
{'hecke_orbit_code': 112589990717822442, 'n': 37, 'trace_an': -2}
-
id: 66853232
{'hecke_orbit_code': 112589990717822442, 'n': 38, 'trace_an': -8}
-
id: 66853233
{'hecke_orbit_code': 112589990717822442, 'n': 39, 'trace_an': -4}
-
id: 66853234
{'hecke_orbit_code': 112589990717822442, 'n': 40, 'trace_an': -1}
-
id: 66853235
{'hecke_orbit_code': 112589990717822442, 'n': 41, 'trace_an': 8}
-
id: 66853236
{'hecke_orbit_code': 112589990717822442, 'n': 42, 'trace_an': 1}
-
id: 66853237
{'hecke_orbit_code': 112589990717822442, 'n': 43, 'trace_an': 1}
-
id: 66853238
{'hecke_orbit_code': 112589990717822442, 'n': 44, 'trace_an': -1}
-
id: 66853239
{'hecke_orbit_code': 112589990717822442, 'n': 45, 'trace_an': -1}
-
id: 66853240
{'hecke_orbit_code': 112589990717822442, 'n': 46, 'trace_an': 1}
-
id: 66853241
{'hecke_orbit_code': 112589990717822442, 'n': 47, 'trace_an': -8}
-
id: 66853242
{'hecke_orbit_code': 112589990717822442, 'n': 48, 'trace_an': -1}
-
id: 66853243
{'hecke_orbit_code': 112589990717822442, 'n': 49, 'trace_an': -6}
-
id: 66853244
{'hecke_orbit_code': 112589990717822442, 'n': 50, 'trace_an': 1}
-
id: 66853245
{'hecke_orbit_code': 112589990717822442, 'n': 51, 'trace_an': 1}
-
id: 66853246
{'hecke_orbit_code': 112589990717822442, 'n': 52, 'trace_an': 4}
-
id: 66853247
{'hecke_orbit_code': 112589990717822442, 'n': 53, 'trace_an': 8}
-
id: 66853248
{'hecke_orbit_code': 112589990717822442, 'n': 54, 'trace_an': -1}
-
id: 66853249
{'hecke_orbit_code': 112589990717822442, 'n': 55, 'trace_an': 1}
-
id: 66853250
{'hecke_orbit_code': 112589990717822442, 'n': 56, 'trace_an': -1}
-
id: 66853251
{'hecke_orbit_code': 112589990717822442, 'n': 57, 'trace_an': 8}
-
id: 66853252
{'hecke_orbit_code': 112589990717822442, 'n': 58, 'trace_an': -1}
-
id: 66853253
{'hecke_orbit_code': 112589990717822442, 'n': 59, 'trace_an': 10}
-
id: 66853254
{'hecke_orbit_code': 112589990717822442, 'n': 60, 'trace_an': 1}
-
id: 66853255
{'hecke_orbit_code': 112589990717822442, 'n': 61, 'trace_an': -2}
-
id: 66853256
{'hecke_orbit_code': 112589990717822442, 'n': 62, 'trace_an': 9}
-
id: 66853257
{'hecke_orbit_code': 112589990717822442, 'n': 63, 'trace_an': -1}
-
id: 66853258
{'hecke_orbit_code': 112589990717822442, 'n': 64, 'trace_an': 1}
-
id: 66853259
{'hecke_orbit_code': 112589990717822442, 'n': 65, 'trace_an': -4}
-
id: 66853260
{'hecke_orbit_code': 112589990717822442, 'n': 66, 'trace_an': 1}
-
id: 66853261
{'hecke_orbit_code': 112589990717822442, 'n': 67, 'trace_an': -4}
-
id: 66853262
{'hecke_orbit_code': 112589990717822442, 'n': 68, 'trace_an': -1}
-
id: 66853263
{'hecke_orbit_code': 112589990717822442, 'n': 69, 'trace_an': -1}
-
id: 66853264
{'hecke_orbit_code': 112589990717822442, 'n': 70, 'trace_an': 1}
-
id: 66853265
{'hecke_orbit_code': 112589990717822442, 'n': 71, 'trace_an': 6}
-
id: 66853266
{'hecke_orbit_code': 112589990717822442, 'n': 72, 'trace_an': 1}
-
id: 66853267
{'hecke_orbit_code': 112589990717822442, 'n': 73, 'trace_an': 14}
-
id: 66853268
{'hecke_orbit_code': 112589990717822442, 'n': 74, 'trace_an': -2}
-
id: 66853269
{'hecke_orbit_code': 112589990717822442, 'n': 75, 'trace_an': -1}
-
id: 66853270
{'hecke_orbit_code': 112589990717822442, 'n': 76, 'trace_an': -8}
-
id: 66853271
{'hecke_orbit_code': 112589990717822442, 'n': 77, 'trace_an': 1}
-
id: 66853272
{'hecke_orbit_code': 112589990717822442, 'n': 78, 'trace_an': -4}
-
id: 66853273
{'hecke_orbit_code': 112589990717822442, 'n': 79, 'trace_an': 0}
-
id: 66853274
{'hecke_orbit_code': 112589990717822442, 'n': 80, 'trace_an': -1}
-
id: 66853275
{'hecke_orbit_code': 112589990717822442, 'n': 81, 'trace_an': 1}
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