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mf_newforms • Show schema
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{'Nk2': 1860, 'analytic_conductor': 3.7130436939895377, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 5, 'char_parity': 1, 'char_values': [465, 5, [311, 187, 406], [5, 5, 1]], 'cm_discs': [], 'conrey_index': 16, 'dim': 8, 'field_disc': 13140625, 'field_disc_factorization': [[5, 6], [29, 2]], 'field_poly': [1, 3, 5, 3, 4, -3, 5, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -4, 39, -8, 9, 4, 1, -2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008092641493457, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 31, 4, 1, 5, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '465.2.n.c', 'level': 465, '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': [3, 5, 31], 'level_radical': 465, 'minimal_twist': '465.2.n.c', 'nf_label': '8.0.13140625.1', 'prim_orbit_index': 4, 'qexp_display': 'q+(-\\beta _{3}+\\beta _{5}+\\beta _{6})q^{2}+\\beta _{7}q^{3}+(1+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '465.2.n', 'trace_display': [2, -2, 8, 1], 'trace_hash': 1822124747283431666, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.058', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.906', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '203.508', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10320.749', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [8, 2, -2, 6, 8, 2, 1, 2, -2, 2, 6, -9, -4, -5, -2, 4, -2, 2, 5, 6, -4, 9, -8, 2, 8, 2, -2, -20, -3, 2, 3, -4, 1, -3, 1, 6, 8, 10, 1, 2, 14, -5, 4, 27, -2, 26, 24, -1, -5, 2, -2, -9, 4, -3, 6, -24, 0, -15, 6, -9, 34, -28, 6, 18, -4, 9, -86, -24, -8, -5, 2, 7, -6, -28, -2, 10, 22, 7, -13, 4, -2, -15, 22, 10, -2, 18, -8, 34, -44, 2, -11, -22, 18, 40, 5, 6, -11, -66, -14, 6, 0, 2, -32, 5, -4, -25, -15, -9, -58, 9, -12, -16, -7, -15, -8, -5, 1, 42, -14, 2, 4, 4, -26, 26, 8, 15, 16, 8, -26, 2, 51, -23, -15, -54, -2, -23, -12, -4, -59, -20, 4, 49, 17, -1, -3, 10, 20, 26, -76, 2, 4, -15, 8, 60, 3, 26, 12, 59, 4, -4, 46, -3, -29, -45, 1, 13, -27, 21, 4, -3, 5, -11, 9, 40, 1, 18, -4, -7, -46, 6, 60, -6, -21, 9, 8, 42, 16, 100, -4, 10, -78, -22, -3, 21, 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mf_hecke_cc • Show schema
Hide schema
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-
mf_newspaces • Show schema
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{'Nk2': 1860, 'analytic_conductor': 3.7130436939895377, 'char_conductor': 31, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 5, 'char_parity': 1, 'char_values': [465, 5, [311, 187, 406], [5, 5, 1]], 'conrey_index': 16, 'cusp_dim': 240, 'dim': 80, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 893386752465, 'hecke_orbit_dims': [4, 4, 8, 16, 20, 28], 'label': '465.2.n', 'level': 465, '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': [3, 5, 31], 'level_radical': 465, 'mf_dim': 272, 'mf_new_dim': 80, 'num_forms': 6, 'prim_orbit_index': 4, 'relative_dim': 20, 'sturm_bound': 128, 'trace_bound': 2, 'trace_display': [0, 4, 0, 8], 'traces': [80, 0, 4, -12, 0, 4, 8, 0, -20, 4, -12, 12, 12, -8, 4, 0, -16, 0, -4, 16, -24, 24, 4, -8, 80, -48, 4, -36, 4, -16, -28, -160, -12, 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mf_twists_cc • Show schema
Hide schema
-
id: 41320639
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 376, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008092641493457, 'source_is_minimal': True, 'source_label': '465.2.n.c.376.1', 'source_level': 465, 'target_conrey_index': 376, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008092641493457, 'target_is_minimal': True, 'target_label': '465.2.n.c.376.1', 'target_level': 465, 'twist_class_label': '465.2.n.c.256.1', 'twist_class_level': 465, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41320640
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 376, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008092641493457, 'source_is_minimal': True, 'source_label': '465.2.n.c.376.1', 'source_level': 465, 'target_conrey_index': 256, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008092641493457, 'target_is_minimal': True, 'target_label': '465.2.n.c.256.1', 'target_level': 465, 'twist_class_label': '465.2.n.c.256.1', 'twist_class_level': 465, 'twisting_char_label': '31.8', 'twisting_conrey_index': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 929975
{'charpoly_factorization': [[[1, -4, 39, -8, 9, 4, 1, -2, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 2}
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id: 929976
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 2]], 'hecke_orbit_code': 9008092641493457, 'p': 3}
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id: 929977
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 9008092641493457, 'p': 5}
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id: 929978
{'charpoly_factorization': [[[1, -1, 0, 1, 9, 11, 10, -1, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 7}
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id: 929979
{'charpoly_factorization': [[[1, 51, 987, -547, 480, -103, 27, -6, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 11}
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id: 929980
{'charpoly_factorization': [[[121, 352, 471, 326, 159, 58, 19, 4, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 13}
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id: 929981
{'charpoly_factorization': [[[1, -4, 6, 1, 1], 2]], 'hecke_orbit_code': 9008092641493457, 'p': 17}
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id: 929982
{'charpoly_factorization': [[[625, 1250, 875, -375, 200, -75, 35, -5, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 19}
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id: 929983
{'charpoly_factorization': [[[271441, -84923, 36145, -3143, 534, 13, 45, 8, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 23}
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id: 929984
{'charpoly_factorization': [[[3721, -5673, 25800, 3077, 759, -67, 0, 3, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 29}
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id: 929985
{'charpoly_factorization': [[[923521, -89373, -1922, -5301, 1275, -171, -2, -3, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 31}
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id: 929986
{'charpoly_factorization': [[[121, 356, -74, -4, 1], 2]], 'hecke_orbit_code': 9008092641493457, 'p': 37}
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id: 929987
{'charpoly_factorization': [[[2070721, -1555559, 570375, -121261, 18824, -2101, 195, -14, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 41}
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id: 929988
{'charpoly_factorization': [[[2401, -1372, 1911, -1946, 1079, -278, 39, -4, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 43}
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id: 929989
{'charpoly_factorization': [[[3041536, -1981184, 1240960, -324096, 46784, -3936, 340, -24, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 47}
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id: 929990
{'charpoly_factorization': [[[546121, 350286, 176065, 41364, 4874, -306, 40, -4, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 53}
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id: 929991
{'charpoly_factorization': [[[361, 342, 861, 106, 159, 58, 9, -6, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 59}
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id: 929992
{'charpoly_factorization': [[[-8531, 2321, -85, -17, 1], 2]], 'hecke_orbit_code': 9008092641493457, 'p': 61}
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id: 929993
{'charpoly_factorization': [[[10811, 4467, 669, 43, 1], 2]], 'hecke_orbit_code': 9008092641493457, 'p': 67}
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id: 929994
{'charpoly_factorization': [[[361, -874, 359, 1812, 1664, 234, 86, -2, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 71}
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id: 929995
{'charpoly_factorization': [[[256, -384, 1920, 224, 624, -136, 0, 6, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 73}
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id: 929996
{'charpoly_factorization': [[[687241, -407039, 109024, 307, 2319, 899, 216, 13, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 79}
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id: 929997
{'charpoly_factorization': [[[121, -517, 3183, -4029, 2580, -859, 213, -22, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 83}
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id: 929998
{'charpoly_factorization': [[[34586161, 18107599, 5813245, 1197911, 168294, 15871, 1045, 44, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 89}
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id: 929999
{'charpoly_factorization': [[[361201, 65509, 353522, -200553, 42305, 2853, 182, 11, 1], 1]], 'hecke_orbit_code': 9008092641493457, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 14, 'hecke_orbit': 3, 'label': '465.2.n.c', 'level': 465, 'portrait': 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mDksXNTjK8MsRbEacDiqmQw8gk8gTCauUnN7ETK0mrI6kAwTHyW+4JNE5rFjub4OUXND9g0DdvmIjbODNkwM2LTzIhtGw3bNykuv8CnrpocOd7mG08FPLI/4YljManq8m0v63DLzYa6mmH/sUmOnPY4dT7lrAP3wQXD9VfO84vvWuaC2QlOzU9xbqnGYsdnqSNZXk1ZHaT0hoJ9hxd45sTq5U/vO/3yY6fO7Dx++tyXb3ztLdE9t33y+YbEX+vx95rBl5Y7dIaG0ONX73r4wM3//nf+VL7j5cdv/v+97YS3sLyZheVJFlYaLHYCFlY8FjuCpU7KUidmcSXl7AocWhTMza7wH39gkRfvbnDi3DSnzzc5veBxbtFwdiHh5HzK+W7C5PSQl17d4yWXQSDrhCrk3FKNMwseZ5cE/REkiaYWaJq1lKmJBA0cO5uw2oMdG32a9RHGCBABvYFm+6YRiyseGCtFVnowSsBgWOpEbN3g0x0ohDIIPaJd89m+echKX3DstEeqPWbaklZNEPqQJIL+SHJ2SXJm0XBuOSEMh+An3HhFj5uvFMy16ywutzlxLuT0ApxbSDi3lHBqCQ4tGl50xQK//APLbJpsc/zsNOeW6pxfCljoSJZW7PlbXk1Z6mrOr0qOrkJvaZn3/OtR8o++1bvXm/pJrepX3atk8gtRUiestZ9vqDzr4+8tg3/kTz/JjTdcxy/87L/6lQ//+df+5Xs+csfFB453dh4605c3XTXgok2m0NVaoo0EIwEJCAQGJQ2hhNOLdR44KLl61xKXXTCkUQPfkwS+Igg8mnVJw5f0ez77jtb4yiMBx86PWE1i9p0YsXFmiTe/dJmrL+7yoss6HF1IWOgLGuGQw6cNndUmV10kWRmm7DmqaDU8nj4Gl2wxDKOUYRrgeTFTLdh7IkR5Kb5M8HwYjCQvvqzPoC+5+mLLnMdOt7hwk6LZiFgZGTZM9lnurfLxO+CxIylPHBmyY8si11y6ytR0xJtu7PLdrzDs2tQijSc5cmqCQyd9TpzVnDwfc/J8yqHzguMrMS/YPc9//IEuGycnOXF2mnNLDRZWAhY7kuVOyko3ptNLWekZlvuCs31FpxvzkisW+Ke3nJdNX+9cmj92Yb+f3iBrl9Qbzamv3v/1z/K+P/rT5xsy6z7+XjL4H3/0k2zevFkdOXLk3x85dvbffuPRo+rkYszCULEwTLlm5zl++yfmufbiBmcXp1hcabLUqbG06rPU8VjuwnInZXk1YambsNCBE8sCrz7kpiuX+J5XRFy4oclKr835pTrzSwELHcFSx0qE5a5mdaBZHRn6w4SZdsz2jRoQhL7h5HkfIUN2bFBcuMWwZUOfc8sjHj/Q4oWXGBr1ZZ46OE2rGRFFPjNTmsEQLt8+5KN3THLpBQmjkWF2QhKnA1q1kKePDqn7Ta7dnfDE4YhziwFbZ0Iu3AzbN0UoFXNyAQLfIIRhx8aEqZakOwjp9X1W+z5Lq4qlFVjsaJY6KQudlLMdWBymbN/a43teucBNl3nU/DZnFtosLNdYWPFYWhUsdzQr3ZjlbspK17DYgzM9ybmVlBsuPcu7/8kCl26rs7zaYqVbZ6U3ifZ2p0F9869s3rLtl5cWz6cvedlbnm/orHn8vQL4/v37qdVr9ZMnT25/4KEn337s+Jn/dPDwSQaRZHUgWB4Izg8k57oxL9p1jt/8iUWuuajB+eVJFleaLK9akC+veiyvQqerWekmLHcTllYN5zqC0z0DosctL+vwphdrLtpcI4oaLHdqrPQCOl3Fck/Q7QuGI0OUGNIUuxr4UA8Nk23DhukYzx9y6EzEkwdDdNLkDTdEeP4KD++ZYOdm+OIDCS+7KuR8Z0DNUyRpzPQUJLGP5ycsLjZ46XWrfPG+FhduhocOjPBp8PoXaxIx4MlDKUdO1vBkwMYpj6mmoB4KgkCgBCQaotgwjKDbN6z0NN2+ZqWvWewZBmnKjm193vSSDrfcHIFusbgywfmlutXbqx7LHVjppnR6CSvdlJWeZqknONNVzK8mvGj3Od79E+e5ckedhZVJOr06nV6NlW7A8qqg0dpKc2LTv5vZeNmfb9269fhoNBxccsmlzzeU8sffG4CfOnmAjRvmgn37D/7Q3r0H3nvvNx4Ti8tdGcXQHxq6Q83qQLBSAvmLLznPr//oItddXGNhJQN5aE9+12OlK+h0jV1yuwmdnma5ZzjfFZzpaKYm+3zLi7rceFnCjo2Kdt1ntVsj9CWgiBKJ1gJtoD8EhGaqNeTAKYM2Ebc91GTUr3Px1oCbru4T6xXuemSSay/xOXC2R2e5zUuu7vPVh0M2Thv2HDP807essudoyMZpyVceUdx0uWKpv8rhE9NcuzviricHJKMGN14RsOuCIYOkx60PK0gFh056tBsenoD+QKKNINWGOAGkxgs0nZ6h2Yq5YPOImy/v8y0vTJhp1ji3NMHiSp3lVXtullcFnR50ugmdXkKnl9LpG5Z6krM9wUI34YZLz/MrP7rANReFLCxPsNJr0O2FrPYDVvsevaGtdU/Sur5g51Vm+45dP7Xzwl0fXFqcj6688rLnG1LA3xOAR1Eio9HgzY888MWL4zh+9/0PPOx3eoLB0NAfJQyGmt5Q0xsaukML8vmB5Ewn4cbLz/OrPzrPC3cFrKxOML/cyhlmpefR6So6fej2DKv9hNVeSm+g6fQN8z3BfA/idMQ1lwzYNJ3S6xve+JIROzdpklTiSUMUw52P1zh+vsbmqYSnDtVAN7hsm+K6SzVhrc/DB/rMLzS5cmeT9uQy9z3hc/0lNRb7Kywvt9m0yfDAHsX3vbrHg3s8tm3wWeh1WF6a5rrL+9z3VMp0fZIrL+5xvtPhgWcmqXtNXnSpYff2Icgejx8RbJiOOTcfc9fjPsNYISWk2rBzc8S3vCSi21NsmdJcdwlEUYOlToOlTshKz2e1r+j0JKs9WO2nrPZSuv2U1b5mpW9YGkhOdQSd4Yibds/zyz+yzPWXhJxbssy92gvpDny6fY/uQNEbSnoDwWovZXk14gXXvij2PP9nv+e7v/1go1H/nOf7+vnG1vOeyRwN+6Rx/weOHXrkt86ePjC9srxIo2aDRiEMCBAk9llopDBIYQNIJT0e3L+RX3i/xy03LfGOVy9x4daIs4ttwqBOPQxohD7Nuke3LmkNfCaaHv1hSm+QsnGkGYwM3WHI0nyNkycMUaI5dTYhDA0gCJTBk4L+QCHwSfoeL9gp2LXFsH1rn1Ha5UsPKvYenOJ1Lwy57vJlPvwlQyAa7Nza54n7FFsnFbPtPjVVJ4p9znehWfPYtlHw2N6I63bXecW1C3zo8wMCv8VrbzD4YZ/bH4j44v1NnjlS56ItDXZuTpmbirhwNuaqnSlKaTxlAEMjDJmbDIlin24/4KkDPr2hRz8HIvSGhl7ffvbuIKU3MKwODCsDmO8rzi0bGu0OP/3Geb7zphHXXNTkzEKLTq9Otx+yOvDpDZQ7JL2hoD80jCJDmgruufchf3Z25rfu2vLg0stuevG/6Pb6H2o1G//nAjyO+oD4kdNH7/vVI/vumI76XXzPpxYqUm3QRgAKIUCIFAFIB3IlDJ5MCaTkiQNzPLq/yf7T53nLzT1uvmLIZKvNUqdBc7VGexDQK7HOYOjRH3kMR4ZhpIliQxwbktQeURJgNEgl8D1BLRBMtgRTLdg0q9m2sc/sVIcvPwx3P+oj9QSve6HPCy7rcs8zMdGwzU0vEHQGA84vNrlxt2Z2sk/dCxkmivnVGKUFL9jt0WiNeGRfjZdfN8FLrunyyD4FZoIXXhHww9+2xFcfi/jKg032HK+xfU6xabrOVKvBRAvqIfieQUnQBvYcEaSpIE4EUQKjGPsZRymDkWY40vSHmv5I0xvA6gjme5LzXRjpIa+5dok339zhe1+rSZI2ZxeadPs1uv2AbgbuoaQ3kPSHgsHIMBhqBqOUKDFEseHQkTP8yce/NL2ymv6X7/y2l3ur3f77263nD+TPG8DTaB4h4x9eOXv7ry6fvn1DzRsy2QoZRBqBcJafNfyEUAghkAKUFCipUcrgKYOvNHVfsNCv87E7tnH7o6u87KoV3vWaFa66sMfMZIPFlQbdQUh/4DtgK3tEglEsiRNBktil3tZu2aDS86AWQKOumW7FbN3QJ6HHgVMxH7+rxuETTSbDOtdf4XHj1as8sL/Dbd9oc8MlNbZv7vPROwRKhLRbMSu9EdqAEjDX7rPaDdBJnTe/7Dwf+2KDXedqvOmGPlG8yF1PzhCnNV58xQbedP0ql1zQ4fZH+jxxosHjRwK2TUum24JGKAh8exNKAUIYtAGtDXHibtbYMIrtjTyMYBBBdyhYHgmWuiC8IddeusK7vmWFl12RMtOusbLaZKVrWbs39OkPPAvukQP2UNDPbpxhcfOMYsMoVcyf6vAHH/3Khvk+v/rO77zZnDi7/EcXbJr6PwPgf/6Xv8rbbpmkf+5Pf1CY/rujpadnAzWi1WghREJevCbAIBECpBRIKVHSQ6oUpYRbnjW+Zwg9Q90TLA8Vi50pPnFnk/uf6nHTNSu867UrXLurw0xaJ0lC+sMavYHPYOQRxYo4kSSpJNUCbax/LoUhDDSNWkIYRAT+iFOLIz7/kOTgyYAjJ6dQOmTX5oDLL1S88LJVVDjPk4dabJ1scOVFsGlumaXVNldtlSTa8OUHQ0Z9yWQz4fUvHvK5u2KOn21x6cU+Z1aGPH3Y54KNU1xz4Tz3PNHlvqcFoyjgsgunueyCkMu2dTl0ZomDp+DBvQ0OHG7S8AShJ2mGhpoPUtqgyhh7syYpRAlEqaA3EqwOBasxRDpBmyEvumSVd33LKi+7KmXzdMhwOMFip0a3F9IbBhbYQ2WL1UaCwVAyGNm+0cEoZTRKGUTaAdwwiAyDCAax4ujSKr/5kTs2PLL/+Lu3zHgJ8OHVgRFRhJmd/F8X+v0vBfi/+s//jbfd8ln++GOv+d5LNj7znsu3HJ70RJN62EbrCGOE090mZyQLbOmYW6GUwFMaT6X4niDwNIFvCH1DI0iZrAm6I5/l1Sk+eXebOx4fsnGqz9tf2eGyC4YMBz2uvNBwwSbFKPZJ0yLNLzBIqfG9lGPnDEfOClYGms/e0+DUwhQm8pmqKbbMeOzY5HHRVrhy1ypaLvC+zzVZWprghss8rtzV4fbHBSLx2TAlaTYS+nGAdMko5QV0hoJzS4IrTINXvrDLvY/U2TIbcMOV0/zjb1vgg1/s8uC+Jr2hz+JKiwu31Ll0c58X7+7yXS/vcnppic/eE7LYDzl2xufUqQBfWSIQCLQxpBpibUgTzdRMzNVX9BmNYi67YMRbXzliw4RiuhUSxzXOzNfoDwL6I7vKDXJgSwvukWA4wq4Eo9QekWYYmfzoj6AfCXqRYGAUC6eX+cRnbp992+ubv7ln/8P/TsAPY4Z3/6/E3P8ygD/+6H/hmmsb4hfe/Ya36dGBP7xs0zONZksy6IWEQYQugQyBA7hysgSUlHhK4Cn37Al8LyXwBIGvqfmGemxoRIaJWspUXdCPJN2oyZGTTX79T6dBJ4gk4YVX97lwU0SSgDba1a8IpBBIJfD8gH3HA/YcrNGsebQCyWxDMDcj2TDtsWVOsWNzyqU7VkjFIr/7qTbHjk9yw26fy3amDJIu33gyZLLuMzNhmGxFNOpWCmkt6QwVSz3DYiel06vz0itXeGhPn73HFZPtGi++YpIfffMiv/dpeORgk97AsNL1OLfUZtNsgw1TQ3bMDPlXb+vTbnR44gjsOyHxfYNSBiFsPQ7GsnmSwM5NKTddlZDGPnESYkyDYeRzdiFgMLIr2jBSuXwbRILhSDKMBIMRjCIrSUaRZhRpC+7YWI3vvPgM3J1Y0k0AElZXEx597OjcsUPvn2ty0YXbd3//13/n/b9rfuZH/tn/PgD/iV/6AD/53p3qlhc9esuod+TDv/tnJ2qPPT3Du3+6w2XbhxhXxmqwrC1cECmldUs8pfCUwfOkA7Yg8BUjXzKKNGGUMooN9VgzijVRZGgnMIo1owSiRDCMJaM0JE5r7D3Y5PG9kBqDhbbVxr6EQNmaj1YIV26Gdh0mmpKplmJm0mPDNGzfNGLz3AqxWeJ3PzXBocMTXHeR4qJtkl3blvna0wnnFid44YWSqbamFgwIZYhRgiSVCGNI0ojlXo1ziz7XXVbnBbu73PNIjY1TgkatxXW7NT99yyLv+bTm6VMtVnqala5iftljdrLJVLvOVHuCdiNmrhmz47qI0E/wvQSlUqSwwYTB3lRxrDg/7xEnijhRRLFiFLvnSDKKJaNIMowko0jYADUSjCJjQR1rRiN7nkeRcc+aYQyDSDCILcA7sWQpglEUw3DACy4e8J//2So3X3IPDxwYvu/Be/9ocP1N2z71T77jv6bhxn/5Dx/gP/EfP0SrUVO7pg+89c+/vPKhBx5dqBl/gi/dn+D/geCXf7zDldt6SGFy/SuFZSILboPnOZB7xtWQCHsRfMEoUESxBXocG6Ikta5IUjpSSFJDmmpSjdXbmhzcwq0SngTfh9AT1EJBI5Q0G4qJhmRqQrBhOmHHpj6t5gqfujfirienWVloc/V2xY7NPpdcMCQVK3z5wQZN32NuStFqDHnyEDxz2OOqCwz9keKaS2Ku3mU4eyZlfjlgMGzwhuu7fP2JAQdOKZp1SRi0ueoizS//4CJ3Pj3gc3fOsrhq2LEhZbnjMdlWTDR9Wg2fZt1QCzVhoAm9FE9ZqSVda6Ux2ISVFiRakqSCJBHEiSRKBHEsGcXWeYliQRQboghGcUoUa6IScYyyoDUmvwkGMfRjC+5ODMNRhIx7vODCFf7jTyzyphfHRFGDmy95qmZ89ZHRWf6R8qb/Ijr3X9Pg7xjkf+cA39gIZH84eseBI+d//+E9Z2qiPYPRKaiIv7rHJxp5vPXVq7z91T0m2imqnyJlilLO5/VSfM/D9zzCSDH0LdtEvmQUCKJY2IsTK+IEolhaByEpbL8k1aSpdRdS45wS55YIIZDSujOeJwg8QRhIaqGkWRe0G4bJlmbj9Ii5qS6JWeETX5d88IszbKjVuHq7YPtmn51bNDs2L/OpbxiWlmpctkkx1YZWI+bcUcn55ZDgQhjFgrkJyeQkHDhiWF7VnF2occnOGq9+YZfP311jpgVhEKDkJFftEvzYm87jy/P81T1TPHOqxsbVmA2TCRNNRauuaNQl9dAjDCD0cYRg4xgpSiDH3tiphjQVJCkO6BCnhiiBOE4tKcSayD2PYk0cwyi2pQujGIYxDBPBMBZ0Y0EnFnRjQzIcMVFb5e1vWOTtr+7x+hdqev0mUeyTaoXpH6mpsPaHI6Y9Y6b/DMsz/zAB/gcf+jRpqn/w9nsP/+bJY6fbsxM1RimMtMco9dDS58sPenzj6Rpnlpb4p981YKqdUAttxtHzUgLPx/d8fC8l8j2CWDmA21S6ZRxhmcixUpJAnEKaWidBaxtwaW2yHk4HbgtwG7gKfM8CpBZCo6Zp1RMmWwlzkwNmp1a4d2/ER26rs+/IJDsnfHZtgm2bArZthEu3r9JPVnlgT5u68pmbUky2YLI1YmoiIQg8hLA312AUsLQas9I3dHoJ55cDtm9q8ZLLznPbg332nWrTCGN8FSDEBLu2Kr7/tQu86NLzfOS2Fg88Ncliz2NDO2GykdCoSeo1RegLQl/i+zZWUSqLZSzKDbaHVWtyoCepdqubsxYTTZJacCcx1t/Ojti6Mhmw+7Ggmwi6CQwGCSYZMNNY5Se/e4l/9c4+zbrHarfJKA5IUp848UhSxWjpfNt4078btq8NDjz56Q9ecvXfXZHW3xnAl5c7SCV/5H0f/MtfPXPq5MzGJgwTzTCBYSropZKBDBkpj5VRwG9+3GfPoRXe/PIer7y2y8bZiG63zmAU4PsBYeAzijzC2Np7UWABHseSKLHLbpw4TzvFWX845pZoQwFum6R0zA2esgmTwDfUAk29ltCqJUy1R2yeXeVcp897P+vz5YemWVpucvGcYPsGwdYNAds2CC7cMsQLVvjYXR6HTzTZvVEy1ZJMNFOkHHFq3hB6EinAGEEUe+zYsMqDpKz2FcurhnNLdXZvq/Fdr+zwF7cHHD0X4nsxQvho0yROJC+8cJkd71zly4/0+eiXp3n4aJOtU4LZZkqzllILBKEvCHyJ7wk8hQ2cpchrMgz2JtMG67SkFvAZyJPUSjoLdohSW+sSJYJRAqNEMEygm0i6MQxiTdofsW12lVdct8J3vLzHG6/X+KLOynKNOPGJEgvuKPaIE4/ByGMwPD8zqwbvvvzaW9RwsPr+Wv3vpqb87wTgq50Oge//41tvv/tXn376mQ013+ncWOMrQZBAmMJACnqpoi/rdGKfj32txp1P9LjuslXe+do+33pDh9mJgP6wxiAKCH2fOPEZxV4eKCWJIk4lSSKJU0GSSNJUkGpRaG1tA1jjwC3c0q2U1fq+0gS+JgxS6mFCqz5idrLHIB5w+5OGj39tggeemmQq8Llqq2HztGTjTMCWOcm2jREXbV3miaMDPvv1OSaUx9yEoN0UtBsxnX7KF79RoxUYhLDAGow83nzTiC/cb2tiOj3N+WWPbRtavOXmHg/s7bLnQEAzTFBSWJDrBsPIav3vf3WH3ZvP87E7V7nvmUmOL9fZ1BZM1AyNQFPzNIEPnhIoaW9ky+SQlR9pJ9W0Lla4xAHdEgTEqSBOXVY0FQwSe3RTGEWaJIpo1nu85XXLvPO1q1y3O2XjtMdw2GS1FxAlAXHsESVe/myDWo/+ULJ6aN8Gre7/1cuvukmvrq5+oN3+2wf53yrAF5ZW6K72iBLzA3d+/eu/8cUv3z7TWVmmHkgXPIInjQ3mUkMgBWEqqEtBT/kMPMXJ1ZDT9ze4/8kef3FVl7e+ps/rb1pheiIgikJGsU8UW0aIHdCTVJGkLmGTFgDXxjG3LhIL1qUBJbULYDWBnxIGMfUwolUfkDLgq49I/vSOSZ46MoGIQ3ZOGTZPGmYnFXPTAZtmJVvmYrZvWuXEfJf/8bkmyajOtm2CyZZHuwntRozwI1YHTSZbBiEExkCcSKZDRaITunFAt5+yvKo4NV/niota/Pi3r/DuPws5Nt/EU7G7MTySpMYwkmyaCXnhxatcfVGPp4+d4uNfq3Pbw5Oc7tRphopWAE3fEHgGX9lzrqSTZKXrpQGj7U2XakFqIEmF9c9TQZTaJNEgFQxSGCSGJEnQ8YiZ2oA3vGaFt79mlZddlTBZ94iSJsudML8+9tm6NnGsiGKPKJGMIktO3UGHJx+9c4MQ/MYVV74oWVk89cdhvUmtPvn3E+Dd7oBmq/kdd9/70O999q9ua/e6q3ieQmMwCJvAkS4NnjjXIoVAGsJUMFCCvgoYpB7nRzX+6oEmdz3d58Vf6fHPvrvL5dtX2TCpaDc8ojggSnySpAB5mgHcdfgYg+vTzMBta1lsml/jeQlhkOCriNVBzPxqzO98qsaR81M8smcSowNm6oINs4bZCcFMWzEz6bNxRrJpJmHrXJ+ZyWW+/Kjm4WcmuXqbYKolaTUk7YamWY8Q/ogw9PCU/fvGQJpKt0zHJFrQHWi6PcPSqs/ZxTY3XtrjJVes8LGv1KgvKTwZW0AajyQNiGLb4zk7WeNFu3q86OIeD77iNMfmJR+5bZLzKw1OLoYEStL0BUEmw6RLoIFLeTqpgmXyxAgSDbEWjFIYJhBpA2kCSYxUI7ZMDbh6h70e11+e0q57JEmTTjdkFAcW2IlHkignSewKa0Eu3cprpSRI4tEK+5+6faZRF7+3c9cLl6No8Nm/TUz+rQH8mT372XHBJvWe3//oxU8/s6+9vLJCPfQxxuB7NkMphV0ylbCM4jm95ysIEqilhqYnGCSSvhcySH0Wozq3PTzBvc8MaIYj/tEbO2ybSdi5ZcCNV3bxhG0RE8LKFZuVtLXSxpSYG4OQBiWsl2tIQCY8fUTy0F6Pzz/Q4unjLaKkQctTzNUN003DVMNYH7ztMT3hMTMp2DSdsGVuwOa5Ze56asT7Pr+BzZMec21oNxXtpqDVSKiHI+7drxhGHn7TgsoYQZRIap7i2t0D7n9y0hY+DVJWVn0WVkLOLUzx4286x8mFRe5/bA5fAiJGA4ljxlEk6Q08plo1JttNXrK7zyuu7vPOV82z94TmCw/UeGBvnf2HmyTCYzRS9GOFEhIhxFjg6XICRpNog9EaX6RMBBE1Yl5yXY8LNw/ZNhvzrtePqAeSZt0nihp0uj5xtqImPklqPXcLbFcKkSgrdxJFHLtYya2yCEW31+HAM3e3eytnLr7upneoUycOplsvuPjvD8D37HmGrZtmggceeOiHGkH6m6P+Mq2G75ZkgdCFZWWTNwLlvGkvNfgZyFNrV9WUoJEKhikMfZ9h6tNPa3S7Kb/xsSlMErNxbsgV24fMTCS89dUDtm+IiGPh9LaEEnPj9KeUGiEFn7yzzhOHmgjP49jpBqfONajVFROhYLJpaNc07Rq06oKJhqLdUky1PGYmYXYyYePMkK0bVknNCp/8eptBr8kl2wzthqLVkLTqmlYtwfcjvnx/jVFf4m+w3aKZRGnWFW948YC7H9X0RpLeIGW177HS9Ti72ODyC1u89WWrPPJ0g2NLLZTUQOz0sk+cWjdpGEl6Q49OL6BVb9Csj7h825AbLh1y4nyHo2dW8PyUxw97/MXXGghlC9cYnz9oNKDBGOIoZcfGhLe/esBsO+XSHYaNM5AmPqOoRZLYrqkk9ohTzwHYgjpJrFy0wJal+EhaS9J58IkDuL1GPidPdfDr5jefeuLh/tzmCz+4f//eaPfu/+9NE38rAD9z+iTLSwu7T5w4+d4nH39EturK2lGmCGBSKWwNtwKVgkqN82JtUOOnxgU5woJcGxrudaQFIy0ZpZJI+8Qa5nttvvaExpDymQfsyAaMdkeWxXMWmcgqEiVSKZLYQ2oP35O0QrhwztD0NY1Q0wihEQqadUmrbuXQREsy1YaZiYS5qRFb5rqkLPM7f1njnic3sGsGphqOvRuSVj2hUY9oNgbU6w1CJVHSaXCsHIhjn+FAMBildEeK3lDTHWjbMtcMOHlugpdeMeKn33aO3/oLj+MrIUJojInRqbHuRCwZjmwZa2vg0awFNOo1GmGDWhjTqke88JKIwI+5/pKEd72mj6cSlwTSeb19AXK7wmgtEUIS+goIGI48Fpc8V7eTxTwWyGkW5KeKxBWu2UMUQC+BujhwsZL9m2kK993/sLxqoN673Bl8PYqGT/1tYPP/M8Dvu+vTTE6q+qHDB285cuigaLd860MnhlRr0tSQakOqjAO2wJOGREKqcB8UElf9llXBJVqUXhsS7ew/Y38WaUliJKn2iHVI6myv8iPPUgrwhLCaX0Gtbqh5hppKCX0IPagFhnooqAeSRl3SqHkW4E3BZEsz3U6YmRyxYbrHlg2LvO/zmo/etpELJhWzLU27qWg1FM0GNOoprXrMmUXNoTMhtcDGHZBV+gmGkceFmzSbZoesDgMGQ+NYXLLS9WjVa7Qak7zrNec5fOYsf/jZrXjSw6BJdUqiDXHiMYoUg8gWRfVrksbQox761MOUTtfGGIGf4nspvp/iSZtAk9Km87PSCFu6IgDhQC7oaFdlqV1c4+KbRMs83skC+0Rbhk5TJz9Saa/ZGLBT586kqT0P2fWPExiO4P4HHxXbd6zesvWCHYc+8tG/GHz/9731+QX4pjkTdHunfz4enPl5Xw1lsy4ZxaBi4z6QyyRqQyqtLZem4GnhJAruw1qbKnVMnjO/87JTY4o0u3ttvVyRB0plzQ1OEuXujcaTuBpy8JWwpba+zV7WQkktkNRDRb2maNUlrYZhopky2UqYbo+YneqzfeMiD+wf8bE7tzBVC9nY0rQbwoK7LmnWNM1aQqsx4oF98PjeBhfPGad7i7T5YKS4/lLDJdsHPPjUJP2RYTBM6Q08B3KfRq1OvTbJ97x8icf3n+f+PZvAKLRO7c2fGJLY5PUkg5FHY2io1xS1QBMGPmGQEnpZRtiWGCul7RYs0pZF4MokMloognNbQqwzR0pn9mvJinWlxtnXGXunKbkMGWftgtRsIVjikkxRbOgNejJKT/37YVoLGo3mrwDR8wbw0bAv43jwSyfv/ci/WF05HYR+gNa4zhuBchJEJcKxuGN0aQHqKVMwvGPsbNkqA1znVpZBu0xclqwwxlDKvFdW3EL3ZxWJLmOpwM+Ltmz2LwwUtVBRDwWNuqBVN7QbKRPNhMnWiJmJAVvmlrl/34Bf+tBGjp+c5KJZzWQD2nVFs65o1qBZS6nXYgJ/SGdoUFLhK4OUxTvLgBAnAe16TD/R9F2ddX+Y0u1LOnVFoxtSC1vs3BTzyz/U4T98WPKNPRsxKLTRpKkmSROiRBPFimGkGISS+khRCyRhYAgDRehpfN/6/Z4yFuDKFbNlbYHCVBt0XWrfOBIxOgN6OceQpf4tqHVWAqCrAB9n68SRViZP01RbgEcpSQKHj50KVND62X/9Mz/o/2C//++ajcbfOJ3/NwZ4Eq1gzOhXjuy/62dOnTpZMyikywgaIxASVGJBlUpBkoFXGXQO6iyTVoC8SKtTsLQGow2pESVgFwdjAHey2wWWVqIoKVDK2mWea0XzPUkY2AFAtdCOZKiHhmZN02qktBsxE62I6faALXMr3L+3z3/44Cz7jk+zY9o6LK26pNmQlr3rhkYtpVGLidOIP/lKC6kUvjQoUdiE2mRM5/P9r1vm1ocjulFI3wG8N1B0e4pO6FELQkK/zaUXJPynH17kFz8ouO+pjWgjSbVNq8eJLTQbRZpRzZa7hqGg5gvCwGY2A8/kGVtPaaSyTpZ01m0O8CLlCbhzjc0lZO+9ALbIpw4UybVCW699XTwn2hSre2LsZ3BYqAWKE8eP1j7zha/9P9/5ba8V84udX5ib+ZvtLfQ3BviRI0cxxrzkycefqA/6CUIo2yfpZmXlLWZOZ6vUAj01JVCnBq0yprbf03mthHvOvjYiD1yzYqkyc2ePDOBZDUaWycvY2/OyuhOJ70tbvxEIaqGdedIIU5p1C+52M2KyPWBussMDe/v80gemefrYLNumBDPNkjSpeTRrtn6lXkuohxG+P+LU4hS+si121pYrgsw0tfbZ5ilDksSsxjUGI8NwpBkMU7pDSb2vqAU+gV/D9ya4bFvCf/rH8/ybP4L7n9ngmNMCI05Sx+SaUaipRZJhoHIJ5vvge3bVtHUqNuEmM2/cPa+D8byU2eis/DYjHpscyrLF+WqrS6CuANu4G8NVdjqiy4viEnt9pRToNObxxx6tv/Dqi19SXv3+lwD80YduJQyixq1fvj0Y9nvUApVLAU+ZnD2VtMuUcgFltlSlqmDqDOwVYGcyJHuds7UpmPtZ3psURRGVlPZkZeBWsqgnt/IEaj6EgaZeM9RDq58b9Zh2I2KyOWB2qsPDB4b84vunePLYHFsmFXNNzURd0KpJGjVFoy6o1+zNYVP9EffvEfSGATWFu8msBs+aEFItiBOPZk1x45VdHni6TT8u2sH6A0U3VISBIvADp58nufwCza/96Hl+7g/gvj0biLUk1to1Sxc9mKNAEgbasrerTfHdzW0PnEwpZJx0Wd71QJ4lhQwiz34WNS2iUsBVSErcak1plS6v2vb650DX9loDKE8y7K/yuc9/Pnj5K17T+OSnvtD/7lu+9e8e4EvzR5ma3Tr50H2f/R+NcPBykcR4ni3mkQ5gUtvnRAqkNPlylkp3JxvQmdb2RMHWurAWdQnQOgd20RSM0975xRD2PQiZrR4iB7cFOChXMeh7EPjYTqDAFViFKXUnL1r1EROtAVOtVR47OOIX3z/F40c3sGnSY66hmahDsyZo1hWNuqKRs3dKLUxoNYbc9XjASqfG1FSRJs8Ao11QFqeKDTOK17ygx10PadtFE+kSyCU1X1LzPXwvwPPqSKm5/ALDr/7oeX7uDwz37dtArD1iVwFoy14tk4exzKsLA0/iea4ISwqUl50b8veX3YSZVBFZVRpFQmj8qAC9JCn12IqcpsaZA/bQabFqp2Wyc8uyELDajzlzvvvyw4eP/dH3v+utP7Hv4NGVSy/e+XcL8G7nNIP+/M/1Vg6/Q+lztBoBxumF7E5WBmcLOlmS3d0qu8MFqSK/623gkskQp7mNqQaS48ztkJ5l5HLtLbMKukJ3ZxWDnsLWZ3gG37eNxbVAUwtS6rWERi2mWRvRagyZnujwyP4RP/8Hszx2eCMbJn02NFImGsaB27F3TVIPLfvXwoRGGJHoEd0oRCiJnzF4rsGdZtUuARL7NIOhLReIakxlIB+m9APL4GEgXU18tgGt4aqdhnf/xDn+9e9r7tu7kVh7jFJBlGrH4oJarAl9Q+Db3lXPxR2esiXCSkp3flxXfvZcKszKb8xyrDMG7pyESsRka+/dKqwLaVIuXU51taIx+zqXoAIOH1sgqB15x333P3poFMX/5u+UwVeXT9Ca3LbjsXv/4OpkcJJWA1Kd5gVNqRElDSbQ0gI91cItVaJYusp6LV+2yydMlJiiyEqa8pqZsXY5qMyWW9eho1ww5XkGX1lgB57Jqwdrfup0c0y9NmKq3Wei2eX+PQm/8L5ZHj28kbkJj7l6ykTN0HLgrtesnZiBux6m1IKEdjNiz1HDnY80CaTEV9oFcYWOzM5BnCoS7fHKF8ZcfFGPQ8frzDUoGnlHKf2hY2FP4Xm+G3hkvesrd8Cv/dgC/+YPNF9/eo5hXLfJsMTQcDXcoY8FuZetXjrvbZUqzVc4JUUJ4KIE8tIyuQbkpgrwEriz743LzrS0Uqe6XJtuihUgJzmItWTf4TPcdsdDV//yL/zYjgOHTh67ZNe2v32A97sn8YPJnQun7v5tZc5/h6dWUaFndVPFNhq3kTKLUJQYO3NMqh+mDOoyO6xhEMstjsHHwC0MUmW2YNH25jvmDjyN72tCXxMGCbUgoRZGNGojpif6LHf73P0U/NqfbuKJg7PMOnBP1g2tuqBZE7lXbp0Xbdk7sACvhyOiNGU4qFFT9iaTorT0k2ULXTIk8ayW90aMIsMgFiWAa4IgJfA9fF/iKYWSfg5wBFxzoeDXfmKZ3/izhPv2znC602bYlEymhlZiqLmJA6FvnPefOSkmZ+9MqmQAz9+ve9OlSR5F4OkuSrGymlybV8BelixrXq/jmJVvBFfd2On1OXpq+Ts+/aVvpK952Qv+n4NHzhy9+MLNf7sA16N9JEnjhqT/6C0meoJWo0mcQJq47FZaTgTgsl8lG6nkm2qXrLGSJjsxojgxrA/ucVWYXQQ77qGodckqFovhQLYs1ve0GzOR5uAOAwfu6R7zywN+9U8afPYbcyz0ppibkMzVHLhrVnc3XGBZDyWN0DgGt9q7FkZAxB2PBSzHATMhlXpsRHWFSlPb/NAOPV59XZ/790V045CJWNsu9kgTjGyteuDJvPlaSR8hbYIGA5ddIPmtf7bKF+4f8Csf2MjJhSkGkx6TgaCVaBoJhLEdvRwoO9DIzwJNKfIgOHsuB+rlG1OIvFekIlWyTqFixTUlbW5Kq7OpkFpaBrkpAT1L+mlb3RilHrfff4j27KZb/HrzT1a7g6N/qww+GK4ivNYlZvWv/nmQfo12wzCMI6LII1a2TNVzqVkrR6R741lddsHmmb2k87qHTJeaysWvsHZZlrgTnTFLlm7OXACVAVwZW3vuZQOC7LyTwE8J/IRaEBMGMa36AM/rc9fjKX/0xTafv2cDkW6zoS2YrVlZYi3AzCdX7hCOucvsHeN5I+59ZpJ+5LG5kb2fcQbPZJwtH635ipdcPiDRFuCDWDCMS53rI22DQ084Frc3snDJdYNgdlLwjlf1aIWn+cAXB9z9zAxn4zr9mqSdGJqesSD3XByijItLXPGbzM6hKGrHJUgKFi9LlvIlyRl8jJxyoJdclzLQU8MayZq6UowsIRSlgmEq6Gifj33lUa6/dvs//8ff/ZpHv7O/eqDR+OYNEt8U4FHvIH956xdQ/uyWLa0nX3H1hlPUaxsw2B3BZGxIlWVwlU2IUtoyeJrp8nLKV+SMbcqBJYXWLoBdsh7K9pUwY9Iky8rZikElySdfZcztK1uLEfoxQRBT8yMajSFB0OdPb/P49T/ewKH5afywxqaWYDpMaYeGZghN12FfD222s+YSQrZ+JXUrgZUnC6spvSggUIpAmjzApPRRsvKC1BUkRYlP3R+yaXLASr/FIBZu3JqNFXw/dTafcnansgCvBK628vE7Xtbj+ivm+bWPDPnol+dYSpr0Q5+mL2l7tgYn9CBQ5M0QXpb0cSufzKVKkQAqk0pZrJj8P1QArsuv9TirV63EzGAomNuCPNa2Ra6XCgZasHL2LOdOP/KKIweGW84vLh14ZM9JXnj5c+vxbwpwQcLb3/jqnf2Vh9/XO3cfAh+lEgI/ysc8JKlCCkkqZS5NUm1Qaoy9M4BX9LZjccrgLpW6Vt6LKdjEZd9kGeDSoKRGVpg7dSBPCDwrScJgROgPOHou4Q+/0OTTX5/h8Lkp2g2f6RpMhSmt0LjUewZu6cAt86RQzWnvMLA3Trs54lP3ehw4VqfmJnDl7WIUKM/HOBhXnJR4XLYDvu36Ln/0pRl6DY92bAfqhJGLG5TG86QbW0cJ5H6JVu2qsH1W8gvf1+fqC0/yB5+f5vDZCZaSOn3fo6kEDQf0QNpafd+5TPnql53XzD6kkCv2I5iKHs//vEO0vYnXsRMp24ilG70E9sRJ3FjbjqJBKlhNBZFOwQv4vU8cYvMFN73vlTe87I3zSyvfVKo8J8CTZIRSAVHn9m0q+cauZjCP1jWUTPG9JL+lpdAoqZwOLyrQCuaWFVmSWWW2dluUMpOiGkwatwCXlkYhCmALN0NFygzg2rkmGXvb9+l5CaGXEIYjAm9EN4147ycCPvCFTZxanESrOtMTiunAMBFoGo65G3n6Xro6FSdNnHeegzuw2ctRHHHgZEgvCpkKnYuTJZ0yVyL7rKZUkxJ7tJseF26LUOGQbtRiEAjqbshO4OSV7ySKl7keQj1L8KqYm+jz49/R55ZXnuUDX1jlDz85w8KgycCrUfMUDU9QV4YwMZbNXZ2+J4vyhizLuYbJS9ciu1jl4LMsLcsA16bI5GZuSZYJTU2W/bTMHWvBSEMvFYxSAyYFpTh+vMOX7nx8V73mbfueN77k6CgeEfrh3wzgew6dJwwn586fa33i6NP3+t/5Co0nE3silQWnEIZEKmRq5whmYE7HAJ4to2YM2IUF6L5eZya/KGnvrLwzy7oV7O2q5FRqAe6leCol8GNqQUTgR3SGEfc+IfnT29p88uszDNMWQRAwEwgmA00zMDRCQyMowF0LJWEoCZ00sYkh50w4gAe+zXweOWO4++EGUewTNs2aADN75GluRwRRrPB9j9dc3+VjX+2x72STQc3Oexn5hiABP9b4kUYpO6fRyghZDPfJAJ557FrSCD02Tg7419/T5/LtIz56W4uH9kwwP2gyVAG+71HzBHUJoXQ2amavStuBlResidL5Hwd4zkjl8omSzVti9KpMsRaxPUReURobC+6BY3GjU9Ax6ITQjxHDL/svv/q6T8DSC2Tamf8bM/hVu9vy6T3P3PD7H/nKxInDPi+81LD7gphUS7zcprOz8JTUrozS9kN6pRLLTKbYmgaRs3gZ4Bljl+R2IfWEQWKfRZ5S1nm5p9XdBk9lA4PSXI54XkynF3PPU4IPfanNbY9MsNRpIes1WnXFpG9oB5qGb2gEhnqAY23L3PVQUgsUtUBQC3AVetqBWxP6Vn8rb8T+k3CqU7OJFadvq4mTAgC2D9KVk2pJFHlsbAsuuWDAk8cT+rFvxzTEEERY8OWTdbNEDcixzpw8iNdZbbatD3/7awa8/sXL3P5olw9/uc1De9osdht0ZEAv8AiUsE3gEtvDKQ2eyOIaN4VAuLLf9QA+9qgEnBTmQTXF74DtnmMNsYFICyJjC7IogZso4cLtA3742xeIlj878XgnvCFS136J5xge9NwaPDoa7trc//13ve6+ZpQssnE6xRjjmmCzUWsaKRRaa5SxOtzkwC56I7NnUwF6mblZI+qKugjjpFBRoC+d1lauO0XJFCVTgszNkDHz3YS7Hvb44j0tPnv3BOdXm4haDb/l0/ZgwredPHUfJzugHgh3SFdy6nR3IAgz9s4A7iUEQUItiDAm5o5HQo6dqTM7LfCldjpWFI2+JbYz5ZxBqhiMfHZsFLzmuj6f/kZEL/YZxIKabwgSy+Kj2JRWKZX71QhZkSn2yOSis3ETj3o44u2vGvAt1y/yma93+cI9De56osX5ToOBCBgEHp6v8ITAlwJfSnxhnNQySISTXGOFWWOfL7cQxwGOqEoTI2wDi3NOEiDWtvbfOhApGAduHYNIOLsk+Y0PtZhonWi+85369ycnjlwODP5mADd3U6t1eMOrjls93Bfo2LIIwqCFQWqN1BpjUntClcz3rbSsLTHjIF9XlpRTOCY/e4JClmSrhbUDNULqXI4EXkytFjMcpew7BUdPKz7+lQm+9FCb88tN8Gt4bZ+GkrR8Q8vT1H1D3Yeab8Fd8+1MQltmKkuHcD83DuQ6B3ng2/a0Q6c1Tx4JwffdMm9KKfpqWrDsNKSpcG6KHed81YUjrtjWY++pBoOaoJEIwtgwUjhrTzv2ztyUzIIstErus+dSUbnpAz7DyKdeH/GDbxjx5htXuPXhHn/+1QZHT9fYe6pBtBKShB5Dz0MqN7oa9/dcwOllQSjZKAqzls1NsVoZI+yKVWJsDbk8yRM8GbBN6o7Egtsk9muRstwRfPGOBmHSozH7CJNTreeE8LMC/MCRw+KZ471//rW73j2bRm2uvzThxZfGSF/jezFenJJEKalWSO25MQ0CZSRGK/u1Y2uNLAG7Cm436X6scMqeIctOBolxIyeyFcMydhjaSapJmnJ2Eb7yNY9DJ+vc+UCdU8t1Dp1uQhiiGh41T9H0DE1PWxfBt4Pza74d12ZBnB3SHcoBHKe5Hbj9lNC37G1vrIgj87DnaANfVu3BXKJQ1IPnWjRvIMh6Gn2u2DHgkg19njqc0E98WrFg5EHgZgKqEsClFAgpK0wO1XR3LoOyvslUEac+Iz+gXY/4/teNeNnVq5xaXuWOBwMOnwi59ZEGpxdrpAMfLT3iQIFUzkmxXfm2sC4rlSjMw/xF6ZrqcSbPmlRyd0GXgF1+TiyLxynEBuGnSKV58YtjXrw7YseWu2Z/+F3/6p//yj87+O5W+2KzHo6fFeD/9cP3ECfJOz772ajZH05y4daUq3bFvOL6iMsvitk6lXLxzoTQpOg4wRjXt+cYwxg5prcLaUL+/Cx/PI/YTUXjS2mXZz9MiVPD4ROCJw8rvvJAg6eOBDxzpM7qKGQUheAHqLZPqAQNBQ1PUy/5wKGX1WlkZbO2Ljx0siQIFEEg3Q1gCu3tpzaz6FudXwtijI44tyQZmRDPkwTS4JVstvG6jgzkqSn6HVPnhws85qYjpBrSi336nrBOR1wUjHlKVzKQUpSi2GzYEcKtpEVrWdY/6acqHz/RHwVsmorYvjHmhReNGEQD/tGRDk8dDfjK/TWePFLj8PGQOPEwocJIBc4SzrNBlWR+AfB1KT2LQMbBTSZJ3NfOFPdI2bUzZst0wuUXJbzy+oirLoq5cEuMTkfNuv7KO0Tfe/f/FIMP5v+C0/Md9Weff1ykIqYzUDx+0OPJgwG3fqPORGDYfkHMVZfFvO76Ea++NgJsY2u9YTDafWgtSGNZyBQKYBvkms8vhP3QQtq6EYRGSEMcGfpDy+hHT0r+7LaQfqx47JkaB0+ELPQCRmkAXgDKR7UVgRTUFTSUoaaw48yUKzxSlrUDX9ikRxncviRwsiQMIAxwrolNmfueJvATlxGNqdcizi+nfOW+Fp1uyNSEwHPxQVb0tV4wlsvMXItLRiPF7Izi9TcOufWhAcc7TQa+tDLFAz8x+HHmWTuPXabWLqQ860Tmf0Mbr1ojlEqCVJF6isRXxKlHHPvWSvVjmkHMy65KeMnlI97yiiH7T0ge3+MziBQf/UqDI2d9EJL+wCONVN42ZTyKbNC6u1OaAtR5+lMjEoPQBoMFdr2R4vsagebV10W87vohV14Ws2NbwkRgmJ3Q9tMZw9klzcc/d0z09M3qv/zhl5N//aNv+OsBPElhw3T7vT/8Hcev6XYW+Y0/niKSEo1gvgvzBo4sBdz3pOETX0mZm0owxnDd7pi3v3boithhbkJz7VUxzZpx49NEVj6xrhmYDefp9AWPP+GzuCqp1+CBPT6f+3qNYawYxoozZwO08IiNjxY+eB4i9PCkJFCCmjTUHLBDZQiVsTXgnvN8vYK5g6wvMwe3cj2aImfvwNcEQVaglebsHQQxSkV87VHFp7/RQgWetdsq+vvZGTzzwtM0czwUw6HPm28a8Nl7V/noHRP0khpNp8P9TIfHWVLG5N1CQsgcYPZPyap7UWoYTlJJ4lkm9z1F4nl4SWqBrlKUsoP0p2oJN12acOOlMUaMeOur+gxjmz7/q6+HPLgnoB4KFlYVjz8VsNqXTiU9B8jznSdsa+C110bMTqZ2SGpqePtrB1y7O8ZomJvSTE9qPNc8YzToSJBiSDzB7/9lnc/cyjU/8I8m3isxP/7XYvCziyu0pifaH/r4hy+9+z7UI3vrpNIDobLiBLALCiMD51Y055btG99/3PC5r7VtNis1TExpbrgmolW3fZjPrkncSXGuw0pP8dCTAasdifSUnYliPMtMwrN9cNID6SGlxJfCglkaQqkJpAVCoCBQxYw+C/JiTLLd40fmjcdlcFuGd2W1fsbgaelICL0YYyJOLQREoxrhhCRwaW/lqvIqWcySNi3nBYrudEUU+0y1FBfMRgRiyCAJGSSCumeHYGY1JFlCS8lyeavM/5b9Gy7/oHWRPdXa9UkW0ihJUpc3UG7/o4Q4SVGxzSV4KkXKhG2z2q0Ymsu3D4lMH+kZOh3BQ096rPQlKlcs1aC6eqVtSW2zZnjJNTETUxqT2J/UXbIpz3Knnh0pV6DE7gCSpLzhhh6X7Tyorrrq+KXXXPej7Z/5gaVV6U0/N8CPnFjk1NnOuz/4V2dfdcfdIdIL0LaWEpBr3nyx9EBiNJ1MZ0nD6orhzNeapY+4HsAz3VYsb0YI+zc9u6U2nsxvMCEkQkpnZWWgdmlnidu4NfONS8+e66RXuK33yMFt27oUgQN34JGXmFoGdyzuaQKXHfX9mDCMObGg+citTfACfCmKADOXJ+vUVpcCrmxIqAWbIk0tyN/1+gGfuWvAM+da9FKfRmI3pbVVgKboxFFZToDCo87OZa4EZKnAKzt0XgvjeQo/tfNSfAd0JYukma0bd6+FdhZtiic0wmhmG5pvfam2w5dE5oBl+2c8C6lldUapQidensnWiWRUdtdMaaBFFpuhEdLjhstSXnTpPMZ7+lXp8PC7If7Jb8rgf/Bnt6OkCA4dPw+hj5aiBG5RAvn4Gx7TV+5Kpn7pA+ZBxni+V1T1myj+lpAyb0FTAnxh08qhsFLAk1ivVuFqKtzrrJDIozQHJWPtoqu+ALjMZUsYmLylLQh0aXBOgu/YO/BipIw4dlYwv1pDeB6hpCJPZPljlS53WTpUgOecjijxmWmP2LFpwN6zIwapxzCFMBX4qcFPnA5PyJ2lPGcgVOluEvkptzmJrP5alKSRxks1qZIoL9u+XLliNetaKFkcQmqUKCZj2WeNjNzmV2WDwOUvitxmicMdDIwpzIZi8BDFDUoVKvbf1EhtSFOFMRANTxMPPhOsl+9ZA/CLZ57AU4KGXLT/uvQLeZKBb5zEK+T8LFmbZ3sIUWleQAgkRYrYTqWyIPZFMX5ZlV7n3xsDeTYiwlN2cynPK+ahWHBL+xxkQM+CTwfurPvH07lE8T2rT4MgJiHmC/fWOTdfx59QBOUajrKDMn66KjUaY40iqWI4shNs33Rzj3ufGLKa1Oh7HvVEE7l0upJFQVRWcCaEpugcygLNYtSGtQ7dTBUDqbJ/09OCRAm8VLpd7GwtT+KAXiTTsuDZsbgzAYSzckVWwiuK5wwrYh08jMO+mK41hqkKH2alGvbGCryI84urfP6hk25+43MAfPnMH9NuNl76Z5+59XqjuyAmQQaFB8qzXLDxN26eQ4yMdYhk1Wqy9KywNluWJlai+Fq5stiiYwcHcvJRCGVg53NQFLYfcT2AZwFnpru9TJYYp7erteSBHxP4EWc7mkcO1sEL8Jw88UoFSlkGU4ydMGufmoLJ875UmXvicexz3cUjZiYHdJYb9BNFQ4Gf2M+iUmOPuAxwLMjzPyTzpT4vi9CmKKFQmlQLfC1IlbSDmZQgcSAvF69VwW1ygBcjJ3RuEhQzVjKglz/5c+HmOX5ayo1kAJeu6M/QpxfH12/e8q0v/f2Pvuyef/J9370+wL/4YI16TX3rn3118tq9pwcQNvA85VjUoKCSoh23v8bbyta8v7H/L8uESUwF4OWRa7IE7HxKVRngIrPNsuZikX/tK4HKu1cKYGfNt5a9neb2yPV2Zglaxi7A7efViTGCmM9/PeTep1rI0COQws7fzisIiza6ouJvPJvp6nRyFreBZqoVg6HPjVcO+LaXdfnDz7eI0pBeKqmlhlFSuqlFSaZI6Vi8/KeejclBe9L1Qooc3KmSKKUto0vpRkvoUimyzqs3s0K3glFLuYsSGDPmLbBg1mdII54DO6VS6bxUQwGCTRM93vnK7rU92flWYaJ7yv9vDvA9B08xO9V8/e/88e3f98Azmnp90oJBWmArB8RKueT4+1vvzY3VKeRKuxRbSnfHZ2CQ+WtTbATr1FEZ7EoVYPeyDnplX1dY3HXD+KoKbjtOYYy5Xc9m4NrbfC9rOEhKR0xEzJ/f0SY1ISrPXpYDzKKvMXM2Kho8Y/G82F/aURppFmx6CHze/uo+f/KFESs6ZpDWGKQCPyFncSkNMhF50Zm1C8eXalmyJkUJ5ILUc53uyoHcMyht5YqdjGArGG32WBbgzi1Kk9cIFatIlqArAXw9PV5i9m+iCfKfV6tJDXHsI2VA2+uxYWbwfY0Nb7lz2Dt+a625vQrwKIrpDaKLk35vl4hW2dgIseUxVKTJX1tbl/8fd2XLQ2VyFs8Zrlp5p0oMKMVazZkxdjZz0HbxiFyLZ6MRKsNuHLA9JQonJbcDbce9bUw2jrmLANMrsXfoRzxyUHLgdA2jfJSUBNL5taIsUQo9t6a0tKLBqVRdZo5KnPjs2hJzxUU9vrG/TqwCBomg5raA8RJhNxMQrgsncTocaZ2Gyp8UJRYXJWmU9UKKvFHFU9qB27WzKVMCd1YLZMujRV5CAULqnLDKciJjXagyeYGTcYA/O48XTS/FsyEkTWKmwtGu+uzwYq3jW7P/Kwf4wsISw+GAJOozERp8X9uY9K+P5/xtZG93XMIUd3O1PiN7LUugFlQL7jPbrdDlwnbPZ2B3nS45k8tiTFux/bdj7tLwH9ttTw7sPFuZM3dK4NnEju0KijHE/MUdDRYX64jQs757+SYckyZi7OSUtXeZVSvetFbEscfstORtr+nyyME2o7RGXwXUU6vFs3JWJXHgztYK7TzxrDAXQFaaSoxr+B6fSpW6YZpKu3hCGpQ2RWJJyKoWz2WKLd0tM7etgy/LldLtVlECfwOQZf+S+yxJIgn6Cf3VJdK0KC7MAf7hj34GT0nOnF9hqqkwFB3QOen8T7yPNVKmfLGdDMmYLXudSxVZBbss2W5Z93d55mAO8JzFs0GbEuVVAR54bgCQn20d6DKcnr2pLWtr9zqtHJ6ynTvPHINP3NZiJAOUVC57Wb0RxzOYzybnijrpcmufZfAk9QhTj7e9bsiHvtTnicN1YuXTl5Ig1c49EsjUZBlzew6lyMse7EO7v1Xdt6jM5KkGL7cQ7c4bqSsJUKnJh3WqHNSiYG6RlQ2YAtiUAC5grSavno3nEijrPao3qiBJfU6dOMSZs0uutqUE8MNHT3Hhji2Nf/vL773w1JkFAs/+E+UC9Wer2f5md1pV3pRs7+wDMxaMjTFgttRnwBkfhyxLjJ0FmdnUJs/LNnl12luNgTtL3/tZY7K2M0PyFrGspzNxR4zyIw6c8uhGASjPyRMzVh67doVayzrl2m2qqXRdTvx4NH3BpVuHPHEgItUhAx1QS23Ntuc0uBJ2xrZNLGWA0eSp55zJixLmrOPdyweb2u8pDam0gFdudwqpiwkBBcgzUIt8ZEehkSnYPGfs0uzD/Hk9yTIGZrPe16L0GexoZiNSpqamL7z+5f+k0e38cL81sdUC/NiJMywurbxu08bZnxsMnyT0ZTGZqAzwNfZfdXEZ1+gV5i59sHUlypjrkKe5RXl2npMmsszkbkxbViOtSqDOX7skj8J54RbcFsDFUCC/LE/K7K1cX2cQsdTV/Le/bLE4qCFC38oTaSqrSjE4569npxot3M4rZQa3jkqSeLQbHj/1XV1uf6TN4iggkh4DKQlcWrsY+ZCtgqLQqELnuQuDduDWmLyEueiX9NxQnmyWYwZ2JYVjcCuJ0nGA59KsmFSb6e5ck5cckAIX67F59Wsz9qJqe5ZWvxSMGdFozvzcwrm99yTR4DM5gz/y6DOEtYBDR44hTErgqbWD5rM7pwLy9elcjL1YA/BygMk4uEVpuV0f2DbILOYPSlWMH1MlUHtS4jlJ4uUAzzS3zoNK39M5uH0vq7+osrevYoIg4uN3+Dx9qA7SR0pJmJXGjlmbeR+mEGsuYAXclQtFRaYkWrpNnnyu2tXnO162yoe+VEN7IQMZEEqRJ32UFMQleTDO5KLM5Nk45EojCmgFythVQRthwZ1ZsKV9lqS0K0bWPlgZwQw54Mt6vLjOBagt0M2z4mYcZoWsGxvMnzV4JBGL8ycweKSJ3RjCA2jUfcJaQKPmUwvsLOl83rOzsgxrZcraIhrWOCbVD+PMsjLTlIPMXLsKZwOJyjAa6caLqecEuCwArko11J6rS/HJpYivCrfELw0HKjS3ZW/fs1Orljuav/pai4VOCDXnnojMHnx2iUKpj3ENG43bdvkUArcnTqqIE4+ptuLbX9Xns/cOWeyFRMpjkEpnTwrn3mTnzZ2rylWy7J19S+dsnjUCC7zMWVHutXRfu/HXlr0tyNNcg4uS9hYF0J3+lhX9PQ7wAijZxIEcQxnwy6l8wZoYojwtLY4VSRpgCHMPyTtw8CAz01M77/3GQz/dXTlPu+lhsFuPyMy+kmt1+HgWtWL0jGtuxi44JabOwVD9OivkzyVKNoxGihzcsszaTo/b4e5UwZ3tbJAxtyox9xoGz8ZNFCMnPGUzl0eOCvYfq6EJEdLLm3OL6sFy/CBKrkbxwcu1KAWTi5I8EbmTkbebpR4Yj8t2ROzaPGRxbx2TBpbFUytTvJKLU7BmudDLCe6sjBZcc4EoBZ+gpcitw3JsoxzQpbT6vOxoFderGuSWiaqQLKKEgaonXpCAKUoOMr1NCXumYO3yFipRJDh2YoHG1BU/ffGlNz927Oiho57AEMfRptDj9UnUsRt8xjoHoxaFVCmDe7xuqsxQFedAVJ8rmnsM1FA6Ufmcb0rSpArs/FnhRgGXffDy4ba0VmVwl0Du9qv3XWloxt7Kfe15MUrFfOEbLQ4s1CEo5Ik/dqHHbc/nEuHVIaNF11N5tkxeRht5XDQb8aYb+zz4TAO0T5JaLe6nbshnWpVKOaDyC5XZhtImmUozavLX0r2WblWR2WFHXkun0aXAfe2ujS7iAKHttc0CUFF5L2UWL9g7kytiDZrK50uUZJ0DudvgKkoEUewzf26F7Reb149Go01RnFqAY6yuCnyFwe7EoKXDr9Nyf215Uvq6ALqoXPz8QzmQVxyUUpCWAVqsA+xchytRasItgdvVphTbdrAW2F4xICgf8eZpB/LEyhMVU29EfGOf4jNfazIYBtDw8KTAF1VpMh5gjgfYay5YDvKSTDFjCR8H8jjxmGh5vOWVQ750b58H9gWYps8gDQkE+Y2mKoAqJ1GqIDcVvtTFDaYsm6fS6nEtrTZPdRFwahdcSp1JSDNGTO5aalF6H6IkVbJGaVPBAs8J73WsVZcFTtxeQFFsj/IYbk+KBEHs6n1L4JMCmQ2ZdwUo2ZDF9R7ltzYuS9bYheVgsvyBS7ZgdiLyvsOSRMkOpYSbA16AuwB5VjZr8LxihLLnNmHyVBXofs7W9lDKBphBEBFHKV+6r8Ezxxvg+wipHKjc3JBScClklcXLUk2UrlTO2jjyGJvfqI3MtXhmF0aRx+XbE95wc4/Hj9YZJQGp9BloRZAy9l4ElTT5GMjN2HtBZcDRaCVQ2bwaaZ9lxui6yD9ICdI4KeK+L/X6dm8B7LIGF6WbsLTar0OY5VWvCNDd2D8tMiWDNjAcJfQGEYNBjHfbHX+J7ysWF/oMIohiK0ky/S8hm6CGLdGt/tX1pEmVuYoqxOz7NgCqsnoZ8PkskVyWFF8X0qRkFeaMnQG8mJyaSxTH3JaxTc7UXv5cvPZdcOmpmDCIeOqY4NZ7G/QHATR9pMgqBynZg+tkMXPmqp6trBbFosvVpKxTPlvMNVF5t0+rFfGGm0Z89q4hjx8OwQsYakngtLjSdifpwosGkWKXfyHsnIYc7AWwjbErXy5dpGXzbFXJcg9agjSO0bMVK2f0sfHLmGKoPs4+HKtKXc9GHgd4Oc4rK4h8lqWwfz/0DdMTsHfP3Rw89ADGaLz3f2oBbQS+SJkJE9oNtUZGZP/IGlBX3oBYA/Bx3Z39TtbGNQ7wcgdMDuxcoog8PZ+5Khm4ZWl4pJcXXFm2Vvl88DFwu8PPptC6An9PJfbwYnw/JjEpn7+nzt1P1aHmgbQNzX6WJi+DmrGj/MV6S65Zy0hFU7lw48xkBeijoc8rrurzppf2efpYjSTxMUIxEB5+Sv6eRFqwePEW1mfy8oxvpTLmtmxuvxZILdCyALqUBZtLY+VIXiBXmgcjdMbmBqGLMdI54blgeL0V335zrDirIiCKPIxN8mlmJzXbtyzSbLgNhy/dZPsaRyNDf2DHZeXz9NyfzubfPVdAWbn7suABKiDOflYEYSLfNCoDdf4ss2SPA7oqNHmRpi8dqgB3tqtDfnjFJqgZoP0SqDPnxDom9lmpmMCPeeyo5BN3tIAApI8QCj9P7pi8uKqajRX5DZ2dxSrAqATr45qySF7Y1j07hVbl6XtjPN7+6gFfuW/IQ4fsJIFYK/qpKOroBS6FLyivu2XlDXb1QI3ZwO6n0oFeS7efT8nOzJNahlye5MSUy5Ry40eJybPd3EpEVwZ4VbKU1r8xoqhmwm0slKaCU+enkCoAo/ECX7i7USBH9gNkccm4G7B2+RBr7rhKcJW9+fyNiApjr9XgmTVYTepkTJ7PySuD3LF1sdmUZe1iAH4B7gprl56zxtpMqiiV4PsJcZpw5wN1njxYB98HaYPLQJjS5NgSg8tqwFwl7yq0TOlFXjo77u+WtjrRKtsf3mMU+Vy5a8grbrAsPkgti49EwFCDl5byCGlmF2agKS/Hxa5149ZlRhp2mBM2+2kEwtg8hDGiCu6MzSs3u2Xw3NHJwD6W/yg88aqsHcdVBWNkiaairyAzQ6JYIBJ79r3Vgf1hHNutlXO2LrkbWdmnKAG1wLgpfS3G5ElmE4nK/1v4oYUes1OaSvIkB/lYNWHJg802mMpYuwzwgsFL4C4Nxc/dE5WivBLAnUQJvJgDZwQf/lKLUexDw3fyhLw1TZV3CRalm7uiz8aWvBLKq95uOXAqAd2sp8U9mqHkB97Q5/N3N9l3yt58qVb0U2WrDFORzxNEGETqXIy0upKYDOglBreAtuCWTqNLbTDuGhkpkE62SGlHgUhBvn1knmhaB+zjVmpRr1LIlPKpK+OOsd/P8ecwm+3T2qgn+L4lDfXP/8NvbByl3n/Zu+/oZYFrzs23lpOFDi67F2u9aZGn0sv+dPkoNHXJBSllHqWUxddlV0SNuyPlILIaSHpe4ZhkE6DK4PaVwfOzrGU6lrksmhl8LyKVER/6XIM/uXUSwhBUDaU8GspQV8aNoyBvcPZLrXFFJrWciJIUk2GpBKhFLFHYjtlNKySu8bfohVTSIIzmgk0RpxYkDz8ZkAgJQqGFbS/01gBpjIAyiirUANlQJmFKosaB/dluhqqGt0UB5QDwWY9SqXB5IGuxQUJZvo3FKZWAsFACStlNfafbQ65+we5N17zo2q96x4+cnFztdN84GsXIhpfX/KoKsKuOwBqtXYmExzSVKC03mQ6rSJIxuVJm7TJzu0i5rL1lDoZCkpTZW+U7PZgc6L5aK0mKZ+uc+F7M/tOSj93ewM5fsexttXcBTilKsqm8VJaIu8zsNmKvsndRcFWuDSnmCloAuKymkehUkSqnxVOP73lNn0/f2WDPSR9khBGSYeqTDZrKLdfUITktDTfFVMCicjfBOP3t2Lv0nB8ie21T9MZlvKV2AeqY9Tv+GlEtmRalc8canDmmzj6Tsf++lNntZv+W3dBMECcRg37/jUvnzk56bW/EIIiZbBjCoNgR2DJKUQuyxvZaD/ClO2r8ja6vv8f8b1l9XQZ4FkTkO6jlGrzYKjDbWU2tAXchS5R7rZRGlfxupezhqYRUJXzuniZ7DhTaWwhpR1bkHTSsewGzmKWcyKoq8KoRMN6AXPHESxOpvGzXDFPMf4xij8svHvHml/Y49LGQKFUgPFLhMRACL83GHmdLelkOmNI7ELn2tr68sGB3xR/Ze1RlBhamSPEL0NIgjUA7qSJKelyXCExnWJFl7Tyms8UYOVDCDza7ngE98+sFEAvBUCpYDTi/ENCPfLzZtiQdSqZbdga2ypfWMnuPa+h1lryxr6sDb6qWYDaVdBwk6wO8YO3s65y1HYt7JWCXgb4W3E5zZ1ucSI0ns6E2Fuy+H3P4jOK/f6rNUFpwI7xS13zWI2ry91Nxiip3+7M/xjfbMo7KdSVlX9bgbm6KkiitSLVHkvqEacJP3tLjL+9scOi0ByoG7RELn4EQqLQI8mQ52BwDeebNZ3ZhtsJoBAp7rg0FgytnI0rjVuGM1YV1XaQxFWCXgS7c7+sSiL+ZLz5OGpax7Y2lZJa6t03U/UFAsxMSUcML3ajgRs3OB5ECpKpuCJrbeRmAnwXca+64MZkinAR5tmVrnLlFibWzREoGbpvBdEPws90UZBncpaBSuqPid5cOaeWJ70WsRpo//GybU+dDUFaeCCkLazB7n6Jkx41fqFymlLeeeg6gU9KjxhRls7l1mA3uKXniqSKVijTx2Do34ke/o8uvfTigE9uAwBjJSCtrG6al1Hiaq+0KyE32Zsrv1pS21XasbjObLgB1roV2bGqElSfCvRY5sNdb7UQV1OuydvHz7GbIvp9hpCi4MnZSl7REMBgpvJGdgIZSdvhkBvC1+nitroa1YK7cfWWHJHujcv3lvKhIKxULlaRJ3misiiJ7JcqSJLMKdUmLF4DO5EguUfKtTpL82VMxXhjzyc+HvO8v2oy0b+WJsDvIBYK1TcXrpOULhil981kgXhoAVrIKy/q82DSgnN3MU/jabgVe8xJ+/K099h8L+MDnrBYHRSokQ217N2VKzuBFAVZ2sQrGziRKtsIoU0gWaw0aZxOSF2RJaX+mhZUpRemsqyws1aePa/MKptZh7zVfl0FeKQso+ghsAZbLzuZjywKJ78s1cqT8D69l7fLdJ9a8qbWWUPUop7WL9qcykxdAr2xxJwudrcqsnX+/Cu7CIixXCSalZztrcGkZ/vL2BsujDNwW4L504+GyFUSatatOZnGW8JzDukyKa+RJYRVWqvqyXem03VRXa12tE5dWqmjtkaQeE0HKLa/t8+l7Gix2FcgYtCLG6vFMpmSArurw8utMshQlqqqUFMrqU6SxYLbgdsztgC9EFmgW0qXAwVqwI4Tb5GAt7p7NMhQCUtbHV5IIRrHd38iz7UmCMFD4viquRw5as+aPZZq6+rvrLC/r/PH1pYkZY/Gxrbkz9hZmzE4rsXg+nKbwvnMWlwV7W8Yu6fHMOWkkfP5rNR54so7OtLd0PZcikyfVepN8DkiJvSl9vvGLs/bh2DO3wQqJUi3sL9jcpvCl3Q/J+eJJ6uPphJdcFfFtL+7zkS8EoCIQEiMEI+1ZG9fCNJdU672X7C4sgszsvTiCyWpnZAnwwu5ULTOJIuzPyhKlWp8zjgsH9nXY+9livPxdi+ozQJoaktQ1UhfD3+2YhbXXQlReivJ3xfrP4yBf8+EwlYAyG+gjyoFb2RoUBairXrFxQaYuGN3JFKXKoM6AnTot7iSKTFDSDn4/dFzy4c+3ONsN7H7X0g56V4Jix4bKTbneyiQqgF/nZFYelURPidkrzciVHaKrPZtKZs92+5ONzZQf/LYe9zwZcuicBBEDCo1kKOxeO8VnGGdxqoVfZHLFgjpfbaRBZTeiBGlc+1pZsjjAlmvSTd6nKVzPZqlOxjF6gaPxTGZGqGbtKV3zhSFxW6BHscGzhUuC0LetapXxa+XPvs79vuYOynR19uYqIChStRmDFCA3FSavypPCLckGzuRyJQN0KbDM9sss6+0s0Mx1t0zxpJUmQRAzSjX/4+Nt7n6kbnvb3Dx0KaXt2hHF/JVyY+2aysF1mLx8vsrXYm0Gs6gyzEBWLZ8tl9HadrPMLkxTTSI9VOLxihdG/NjbV/ml/xEwSqTNQGlJ4lwVqctmwFhlIaUqx+zHzms2iNxJMc77lg7wRmReuZMs7t83IovlTG7lZQ7KeANE1YEz+cnL3uc49Vbw6E5m9r04TklTO7HLy7bGq4V2+V9z0s1acK8B+rNKFFP5fpX9TPV7JabOgF90i+uS/20qEkWqQpbkm8G6jF+hwzP2Tt3vJDmD+0HCHQ/5fPruBqPIh7qXa++cvUu6+7lKYss2YQ72kpwbp+9yYVO+tUsF3GBUke0r14qnWiK1lSoZ0JPEo95IuOUVA267e8BXHlLWNkSCkMTCY0Ap6M/zl45NdfmqFu6KcvSd16VI54ND3v1jhO3fzWzDHOgULkpe3WgK1i6CclPCTZU8C2iXb8TC+al0mxmIYp0fnsAyZujbjvNc8+lS0EMp4n8OgEMB3OwNPps8qYBcjunwXIOXWbzE5BX9XQyGzOWIA3d5rrUqOSeeA3fgx6z0DJ+/p8G+MzUrTYQtiRWycE6KCVJrWbv6+cwYoJ9Dn2QXylAkVMoSJQv08s7x8eFARY2KFAqZpkjpEY88dm+K+baX9XhgT0AnculXbTcFi1Bk+0BIrDeeZMX/xpSuc5HcyT5KWbIYWUgWbWyJhshA7hi90pMp7E1RBvS4Ji+DWojnPntFUipL5xfN8XGsSbU9g57v2WmqzVqKVFlCoeiqr2gyM37RSmCm9MbWAfUa90RWZUlZqhTMbSqALmtxpXSuv2XJFhxnbinL7J3m4Pa9BE3KH3+hzvs+1cKITJqU2duOZFvPn5fr3LyFVqzWxj8be1cq+SiBO7tYpT3dx6fQWl/cOSvSBpxKa+LURyrNj7+lz8HTPu/7tEecOJC7sckjIVE6GyThZIqzO4wusWTZQpSWyY0DujROshh7TowxZNupZN3vQhiMY2opca8psXi2+jn5StlBKd7HGmmXnytTKmvIhvsbolgTJ4YkMXhT7QifiF47dvPwBLG0PqJ0QxmrtlaVyte989aRJ9n3JJTmaTybBi+kSVl/rwk0VbHb8XrgVqVkjiy5JkrG+EHMwbOST9/ZpNfzoW73grSz0G1a3ss0vyi0d0WilJhm/HUG8m/G4SZHdwnoUGVv6QqS3OsK0LPDBZxS2pmGrWbCW17Z50tfr3PwjEu/2rm9pEIwKL/TrITWGBtsOJArF0ypslwR7v05iaKEcF64k+zuPJkx1tZOnxeYEFWcmALsVUWwhhvyc2XBbTvQ0tQQp4YkgW5fs9hJ8Wsp3uy0pu6nDFZGrA58Bk6vCSDJ/EqdnfDSXykzdx79VsexFQFl+Q4FUZIgFf1dGiajZJnNy+DWJYlSHdBedkxkSZ5kLJ6l5D0vYRRrbru/ye2P1u1w8BJ7S4GVJ5mTU0pcZOBmzYUqgsvxAPObPXI2z7OG1YMSgxu3FUllCpbT46lQqFSjhSIZebz22ojXvmTAiS/6jLS9rplBneAxElZuSF2+qM64rkReJQnlmDy7H4ybjZKvQMK1tY0B3Qaa5SRP1fceX+mhcFLWkkIhpTOAx6kdXTeMYLEL3ThgQtfwNm7auLKsVr600uY7R3FCrHw7FN19kExTmoo++yYMnoF6naAyZ+qKE1EAOwO/KrF2Pq5XZRNOdeGLPwu4i2ylS8XLFKlsp44MEu56KODXPzhBqj0IVKG9hczHsWXWoJLVVaac4Ml5sHTDV8D9nEKyYPEKe5siHV4AuzQrMmNvOZYAclJFaDssKAhSfv6HVtl30uOuByU6EI7F7YWItWJQQIlyc7LJnzPGtkye33hOsmVsjvsd49ROGejCAb0MaiNEifTKAWapznu9c1gxQEyeptfabn85ig0xNUS9/aWNO7avqLd/63Sv3104FMfej3UHkKTKlmkiyMNgdxLGNWde3iqyktayzedW/BywVcsv66VUcix5U5piqtarECyztjKVwDJ77ZVfl6SJ73otTy4Jfv3DE9zzaBNqvvW8lW1J86SgLsk3lMo2usp3VJDjtdzlxudqx39RDy/z6Vt5w3RJ14/PNVR57FG6kcYsyvXjl2xOoMlJeHYmIfQMDzwRsDLIagscyJF5/Xa1bqYIIMogM+WlaYzsqnnQ4nfG2+DI3KLKjV36/Ww1czd6TgDlf8sVg+ls8popJuTGicHza5w5Pf+Djz3y9D7v+Nk6QgjSJGUUxWid6bLCFciCiHIpTiWodN+oBgtFMFbWWuV0vKhIlGLGXeVrSUWW2GxmUfhfZfDStnelNLxN6FiQp0HKhz87wWe+1sTUFAiVVwwKURRVedJU+xvL2luwVp5kpuB6ulusIaExQLiLqm1CpMrilJyCorrQyEKmGDk2ZkIopNYI4SEHKbe8asAzh33e/X6PKEwKgAuB0T5RCdxF8qd4zrzvzAf3nJldsHvpOZcfIi+8ktm/5OzFiixZL15zwBrX46xzzsrxoRRQD2CqBkFgVzvv7GINEEhiApUi3RyMcqdHduOa8e+V+uiqb7AqRygv7bIM/LJEqU4sXSNPSnvDlDdFKtjbedwlvS2d5pYO7FKl3P5gyAe/2GSYuin4IjvsJqZ5zUklsDTryKxnc4zGg8311tmx72c11+VumZJdWC6hNTmgnQaXtl5cOoliwW99cS00qfYIfc0PvanHfY8HfOXRFkYkZN44UqCNx8j1W6ILeVLIlaqjgrC1N0qbAthZZj/zxIVxjREir0/JKg6FxM7cyeKZUh5hXOJaiK2D8rH8TIatQAhm2pJmQ9otEmuBHeUlssUq31N+7aUpdhAsBwjrW4HlrStyGZN9T44Dm9LSup5FWOzspdY8p2NMnlZrvKVLyXsx/RH8yh9NcPhUiPFK7O18b9vQgNsWZC1zV0ZDlF9TBrSonrjnEOTjSbRK2p5y8VV1zFqlNiXPbhrL4EKR6mxOt0ZoDxmlXLQ14d/9cIf7fjakO3QXSedXFo1iZNydbUwF7MZdb3CNEI7JyYJLYXL2NiUQ50AXDugZo2e/k6ngcVYvrXoZljKrfr3zmN0IuHM2ilKESNFa422Ym0QID512iAcdeqMQkxSNr8U/UgQCkAVY1a0ppDBVgK8JMKvMLUosLZzuFsJUwJ1trqTWAfi4W5JLlFJiR0qru5MUfu+TLR7dWys87+xwNSe+MKV2tMIeXOPhly9C9vkF5A3YFZ1SFnZmzcWp6M78dbbTr8mZvJjVXqo2FI7RRck+zKbTyqzyUJEKD6kN110W81Pf3eG3Pz5JlEogKT6EFqRSEaWZHjcl5JQkibCAzzxxlX1PWKBrF1MInckVx+rGOKtdVGrFRYYlAcKUFEHmuBgqGCsINpPSbrQgECeCTi9leqbF1EybOE7xXvLSV6H8NqsLD7LviWdY6m5lFJd1eNUhGV+q17L3uNtQ/VkZ2JXiqtLrbFu88R29CrDrkg4vg7taRKWkG+JTS/nq/SEf+GSLzsC3GRxR1JwU7WhF1rIa3FWD6rXp+bJ+Lb8WefBWpen1aimqupIKexfANiVpYkzZTRHoVNphqcK418olgxRpomnXND/y1j4PPx1y2zcUNERGs7klkqDcDiAZqAU+Jgc2knxUmnI1JkWw7MpedcHOuaviYrOiyrDQ4Dotg7yEo+w1ogr0DHNZzCNs4J5qw9lezLdedy2ve9kLWFrp4h0716DdqvPwky1uu7XJhVsVjVDkU6HK3Spl73ptcFAaocDaAHM9YFd26BJmLLisgjwDuA0inwXcpSPX317C3qMe//0TbQ4u+m7fewvsbAfntey9XnBpqvKkrBcRrCHuZwmOcnk7Zg0W/nehxe3vlOYXOnkiS79bZDkzf1wXLJ5JFmG34JaxZtd0yk++rcvRsx4HTgmMNyaypJ2mNbJLskv62ODXShpLADjmVtK4dpvie5nsyAEuyHV4BnQ5BnSji3O7poDNlDfYWruCZm2WUxOKF1wW8+rrFDs2e2yY9PGk8ZH4CFNjFNXpDSRSQi0DtSr2sMxtKcbkx7hVtR7A8+Cy2EOxspFoXlT13CAvNiOtgjvfXlqWCqnCmLMdwa+8v82n72hgfM+2oYmi11IIUdLepXkn2fsTY4AeW9HWJHXKQBclUJd+59nYuyJbskNTaROrMLkRCFOMQs4m0grH4va1dBLUkGDwpeaWVw3ojCQ/91uKcysCQgomR4D0SLTMdGcO8mxokJFgdAZ0gXGrXhZw2hxKcaNmHfpCgknL2ns8cHcejlkP6E7iZCZISd54riOtWVMEoo7RdYwJMCZGBoGiVgvONuvq1p3b5iwD6GKZzMBa0dGZ06GyiVLlQLDwrWXuU485H7Lwr4vuHF3sqlvZH90U7kgJyOPgzmzAQncnRGg+d2+drz7YsLpbqVxz585JJk1kEVwqMSZLKgHP2tcVsI8TtmAdBI99byxrWU3Zl2tUSho9qxEvdd5rI12mM4uhJNooV4VYVBwKI3ndi4e8+aV9ApHYDIlOwMTuSMBoEg0jDSMjiDTERhBr7LhiI0iNe60FickG99vx27bhwL4v+/vOqzbucL+rS0eqjU3alHzt8u9kyR2TfV3iDikgSTWoaUaRutXzw7PGKNR73vMebrzxphVtWInj+HtXlheo15Sbq10dvFNOqZcr+8otZdWvy79X+l4psVPenk7lQWSJsUvJHFmpHFwH3JlE8RJSqfns3XX+3z+Y4MjZsGhiyA8PIQWhhJo0+cyTyoSsckInS0xlWlOUEjQim0IgKfYTKs0yzwcfyVKLW0njjx9jAW2lDkYWrJdLRspb+o0HxZacyq4E2jDdTrj84oQT5xQHjnloI6j221noaAR22LDI7TqR35zCyZLsPnVJI1HIriyWyH+3dG+b9VavsmxbT+Tlb8+N+BMZi0uk1Fy8ayfTU+1/eezY4ftf+KKb7R49SRKDEGidukHx1Rl/lUKnLBAcS69XAkppihqULIik9LpSi2JKUmV8H/RMspSkicgYvgC3zMGeIGWC76ccWZB84FNN9h0KoZnp7XJiZy17lzvkqwVVawvH8gE2jM1fLMmU8jUROSrEc1xUgR1GX2LycrCZfU2pKUJnDQWFHpflykMpEdpODE6FnYiltSIeaS7bFfND39XlwacCjs67Dy+F23EwA7yVK0ZSfN9paa1t8CmhkCnSTsiVmQZ3n9juliJK8sTVqmTafJ1za0r1LLIs87LMkXY1QtqNHRSaOEmI4pg4TrDvHrjqqssJgjrNOiSD49QCTeDGoJVT5uUakQpYK2AvAZ1y+vjZgs3s/y9p7lyDZ6A2FXDLXKqUwW11t+clLHUF7/mTNnc+WnNVgpljYj1vhGXSYpDPOFOaytKXgz4D+XrPJX2ybnD5XAqlQmtjgecYqLW2bK0R7nUhU6TM7MNCh2vtbh1hkMIFne7rtG941bUj/tm7VvlPfzTJcj/T4I6WNVkmhlQLRg7kxpXVGmGDT09nwaUpNUSI3B+vOCoisw+LYDSrXRGiCnZZuhlyKzI7X6bgePtlSqoFUzNbuGjXFfQHg/xeYOPGTVx66e7bAuZ/fcucRyNMCINsQ6bqKLR1G30rP9NVeVGu/CsnZCouiC7p7EyKuENUkzj572RyRNgjCy6HwvA/PtXk/Z9s0Y19q7NEVkyV2YJ2WHy5YjDX3rLE3uss+eWJuTmmc3YppkT9tZGeLfXluoz1NPmYVViAnpIWL+vvUlq/lMYvasntTJWWBz/21i4/fkuXukmsZ6cTp8lLz0aTZppcQ6QFsYFEW12eGkjMmBbPZpyPaerqIdbo8rKWT8f0efazxP08Tg1RbOgNNcPY48Dhc79+0a5Lbpub21gAfNOmzdzxV/+5r8z8kYmWoB6mbvffYvTw2vFomnIRVCWArGhovRb8pWCyavmVM5fuUCWdnX+/agdKV2tiPM0zhwL+7LYGq7ELIijswOxZ4MBdSuasTctX2XtcoozLkVyGlFj8r43vzBbM2bp8jIN6zCIsjVkuuyta25mGa7dFUdYX1wptFEmiaHmGd76ux+WXjJBpYq0Ok1qwm9iBPLUgN1ng6UCuLbBj1yCTaIizwFKXg9AqiJMKiEUO9MqNMA56QwHyFOLETkWOYsNgpIkSxZETC0d+4mf+3/7mzZsLgANcft2buer672LjlottQ8A4c6sCsIW7UR3XUGkjy48CsJXXY6xecUdKfyfLSspnAbdyulv5KU8fDvipX5/iyQMhxpeUC6ky14TcFjQV9l6/mMqeoVwXrgf2EljFs6L7uaFuSuMZysjPQJ0D35QZG1ucZQr217qY1KpzN0UW7krO3gXQtfbQkeKaS2Le+3MrXLlrBHFaYu7UMXnhrmgH8mHJYUmMdVkyIK/L5iW21qYE2rQE9Mr/U3VSMkYvs3niymQHw5Srr9zNj//jt/GD3/ud+Wn0shdhfRo/qKP8OtngyixCKILAMe86DyirOruyw232e5kOlKb0/fK/pRGu1ltk+luYXG8rl6zIgC0yDS5TPD+layS//6kGjz0dknpjQaVQeapMifKOZFX2Hk/Hy6wDqeR3V9PGz7J7XLky5TmwXQb0uLtQ7m4vl4qarDjLpe+FY2xZqhmXpVS+FAWj2xndmTdubO04BoTGSzTXXTHin7ylx8//tk83EeBTJHEkLuNpYWOQxBTBo8EWqWmnlZXT39Kd8yyNL4Ub0Jmd8yzIBERK/jvlYLSSbHX5psykyB6pNrSadbZsmqXb7a8FuOd5eF54sNGoHWq167viaAioUiby2dLrWSBZAnFFu4793vjr3FVxgC4BXZacE1kCtGV6l4r3E/pa8IFPN/nEV5uMVBZIlrKVUrnPYudmlwPLCnvLqpMyLkeqk3WrQK+AueKYfBP2Hn/tmryzDpo8c4l7nQEqT/wUXfgid1BwwLfZTaFtCl+4ehDhkkFCGFIjQStSYQiShLe9ts+eYx4f+FSLXowFefmNalMCuSBx1qC9oQy++8hauqGd7gbNOqKKQLMAeiXINAWYx2+I9YAuBKSpplZvEtYbh8IwPDgcxfk5zSXKxNQ2ls/ccev0ZO2jU5NTYNIcgJVmgpIv7Y3JkPx74102Y/JDrgk00+Jnpd8vwJ2uC26lUrqR4P2fafKf3z/B+UXfMXUG8jLQLbiLGYNjcwYzl2wc3CVWZw3gx/R3CdL5fMJv9ihXFGav1zgpmRQZ27iVoqqw0OVZYDk+oTZL35e1uH02xunyVLFpRvNvf7jDP35Ll1aYWF1gxiRLHoRqjDFFQkgLIiOIDC4hZLV5YnCHIHH6PNfoafa9QrenlZ+XdLyuypdsAlicaGbm5vDr7Y/+2We+futFO7euZXCAWigIQ+8Lo9j7jtTUrvVIKDrXS3XaQjs5u1aC2OW8mpK3PnKZvbMVQJdsxjKDl1lbo0Tq5Il2XrfT5DXDZ77Q4Ff/sM3ZZc8OuZFl5s5er7UFi5LYkjVYBjSl2pOMtUvArmQtq0J87ff+OiAvZzUzxsySJKYkVdw/ng/JpJzCr5bVSsfi0pj82RhpLT4MRsg8pZ8l1+PIsHkq5d/+yCqLq5KPfr4FtcRJlDIlOjZ351c7yaI1+FJYdWOsbCn3ZSphV5fyhC1pSmxNmVRcmUiJ1fOtbYSxQ/6lodXwaYTqMeU3v0AyqJza8ttlett38pWvPnjP/BIPpdru9uBlE1srY4ero4kLtjaum2aMsUXhkqjSOAeZg7YURKq0yvQ5uNMc3EqmqFBz8KTHRz7f5Mx8VkSVBZZl5pYIkc03WaeIinXS8use1WRDtXKwkDD/0+Cu4nwtg1PW5RnoS50++S4QmVOSpfKlS287RtclG9EFmqkuhgZlh9GKJJJsnkt517f22XVBBJF2jooeCz6zQ+fBZ2xKVqJj88il9HOmNuMOi8jtxqRyiGIVSG3sG6cZqxeMXgsUNW/00EP33HrPT/3At1TOqTd+kjds3AJCMuysoEyC7xUtY0UxVEljY2ANU1sWL8poq7p7rRbX+b8thK4GmGMSRYkUFWgOnfb49++d5I6HaxCOMXfFFrRBTmYLlmtOygVh5ZqTcTYfrzmpBJaVyqu1j9wnd8/l+pIMvOMIL4BeqiR0/4/GMrMN7orsZqbBy+xtSoGnMNJuJCVs+l0IiTDG/TzT5zbrCQY9MLzmRUN++ac6/OJ7Jzh8OoAAQJUCzzW3ISBJnT+fCkidNPRcwJ69/2ymeN7KmJFIdo7LJdgUBKPcypBtaZikIL06O3fsQGu95vyvAfhV170SIb3o9P5TrCycRQhZSZ+XgUnljbjF073hfE8VqccKtizwCzfFAtp+r5q1lDJ1P3cAFynK1xw97/Effn+CT9zWIBKqYG855pw4lyOTJJ6THhl7K6g080pKdcnjduA40EvPVf1dbb+qdKaUgZyBvOSO5GWyZRbPEz4i/3/yZggy7V1udSsmkoUfpgAALIdJREFU1Aoj88Aysw6Fu1uENhbkrvtHa4NAucyi7QqqeSlv/5YBqYZf/L0Jjp0Pi6ATij0nhSmdd3tStbAxQpofAs/YcgFFefXMGhsyqVsN6MvXQQpDKuwNorSVuamG9swWvv3Nr4/iOOVn/8U3AXhrYgbE1M82Jy++YtA99iqju3hSOBuw0MwZuIsl2+RXuQz6MuDzG4Oi1kRk+jtP65fBXaTklUhRnubYvMfP/+4En/xKg0i6SjCx3lGyBTN5ssYeXKcNbbzum+pBCbjlo+BvU1D1/8RDFKeysAlzYV64JePAL2c0jSk/izHAW4bPHBTj2twE9mukY3HH4AhFkoDvpbzzDQM8Bb/wnkmOzQfroGb8YZk8C45jYdk8EeAZe01sv6Zl4lwCls5BddXMWF6UnC+DSAzTk02uvfLCr1128bafPbfQW/NO1rxVIac5e+SvVpVX3xcG8uU6TZXKOttLgDXrfKiiDrrE4mNSxXbe6zHJoks3j2P0kjWoRIpQKaeXPP7t703wydsaRNmchfWA7bIz5cDSK4E6B66zNtcU2I+7I+NsjFgX+Pbzyr+RBK+wNesAmfHntV33lXkquH1yMkuwBPwc7CUbUYhCqmCUHcQpDWlq8Eh527cMSFL4ud+d4syST971sPZT2PNveToHeopL7jhwq4yJS1IlCwjXzB0qFUBkAPcECCQoP2236vve/9FbV3/0XW/45gDPHjrp/FRYq9+QjBau81SS90tmUiSbU1jt2yy/pSrL58mcMakiKvIkY+5Murg6E6VJfMEffrbJJ77smFuMg7vapZO1MeWBpRtktKb89NmCyvwGoFImWpYeUDyLyhfPMlH22cBdYuZxwFfATwFiKoxdki1jQ4NEyS8vs7gRhTbXmWSxtYzuI1g21+4deGje/oYB+454/PoHJkiAYjLnOMCzMcUyl4oYO4y/kCyFjJcO7NkZLJ87PXYOMsPAF1BXgkaz+cTCcven5qZb657bdQG+6cJv5+S+D6Z+4woj9XECb4SSmqyjIyvuyXzZdR+iCvIKqNdjb2mQTpJY+1Dbr5UGT3DrPTU+dmuDkXRZSbmeJMleV9lbjWnvXGuvCWTWkSfjbF7C9XhNyt/ksZ6SKY/tsOc3+6KQLZn8rcoVB2TKwHaVhqLqlQt3aCMQugg8cZpda5mXpQrXZBCgecfrBzy4x+fL9zZsWCDLn0SV3qt24M6AnjG7cO/fnrwU8mzmmpNSyQsY+286CSiFIPAUN193kRlFcboeez8rwAFmt70adP9jevGuS0N5uimF3cVqGHnEiYc2yllTch2QOyeFslQZA3pJkhRfa6e7UwQG5WmEB391d42ffc8EzxwJ7Mgp8SzgxoJbSAduxioFRTWgrNR950HPuEuyjhbPibrE2KWboXIT/DXBXbEC1/t+yV0p164UASd5BlNkpaxrZEnB4kZLtKt+1LIkVzJtLqzNaJt7///tfXm8HFWZ9nNOVfXed99C1ps9hCUBsgIhbAkiIArip4PyfTqi4y6uuIz5VFBcEJ0BFD9wBke/URGQCIogagxGQCAIBLKSPSG5uXvf20vVOfNHnbW6+mYnwMz5/e6vu5buW1311FvP+7zLCae2oRw4YVIFN36sH59ygAdWZjQTkc4mdaCqHkIoQ4fQRG9Ey4kxflPc2eFcy5GBD5R9gDFwUDR0jClctHTuz+pzaXzpmvhzXBPgqewE/thjd3xvaHj2B/7y+LYsIQRTR1dwwdwikokEKr6HQHjh6oYzDtIEOBE/Pg7gGuSG1SaBkrLv+3Man7tZgDthaN0K2Lr8TCLRRXRGNLvdsZ2bDksaNKlICFK7el5uGEkdPGBjzmuv1kAWlDDKuY2dw9YRMDRyma+tQa9yUSJWPFRWQukNTPgPlIMw0fKYc9VrG5SDlDlmTKjghg/1gxLg1ysy4QmXkiGDYa0BVVavollyajSqlKFqbcp8hElwl5GkRbzxzAFMGV0GGMNJp5y2b+f2R7+34KKrarr0I/rDBTYPuwf7ceM969DbU8T00YPI5XdhySllBEME4fwvxnTQ2uk3LrZJU1iEpjCVhxLycCELCmN838oQ3M9vTIgGmYYlUFIg1UAXpWRW03rDMpvJU7Eh94ikV5VIBVhWudbrAXEWXmMXrv8szdzkoibYEbHyVkQzTlnhEXAzo3hZ3iAhLw+xyEXRsHBCGQctBzihs4LrP9gPzoH7V6bD60AjP0RWGkMcIJHWnAgKE33GRbxLZb19oFjGotP6sezdBUxodwCSRW7MdBC3acTTTEfaOK1zVCntee8/95RphfZ8Grv78tiyxwVxNEh1qwYj94SIP7MoQUYrzSQqlW8SGODm4A7BA39J49p/qcPzLwlw0zjLHVVPjIglYuRAorPQ4hvYx4Ader2lpkSuSxSrB+xkGlTDArC1i9Ge2HQsYVfZc/XIJ/HSYSRnvGrZKJoIv49a6bbcjHqWgRM7K7jhw/14w+nDIjlERjUDURXMNEDNyCeLyW+J248H4V0GDgTAuNYAjbkMdnd1oK80r1DxU++HO6Y00ukd0YJXykV2xmmTnxjXmuhvoluzzBnE1HaCSikh2JshXJqXRNITGfwBlP6tLLdlxYWj6QDMIXjwryl86rt1eCEW3DGWW6BRa97aelvKCaottMqjQTzYYVlwUyuxZ3aWVtvC9QGg3H622hbMrOpReSmqRCKijQsfTGcaQqsoIMayQVMQKiogIu02nDZN8XCAgFAqrLewhbKXOAdQDjBzQgXf/EhoyR9alUIACLoifx013hPj1XjqV1ly8+4X5yWRwJpdDbjrTx5SaMMFF7+pn7tjn+jtLjCMMEYE+PixrQDcrv597PKrLpv5R7f0sDd2VAZDwyVlcbXdgAJ0dChwAyCECadTauGCf1MC5hA88kQS19xYh7VbBedW7aTMPxPktmoiLbfZds3O9Y6AOe69wiaxl00LHoGldUNUnYBqUNckjbUkwxjQV1X/WDRFRjjNgmWRsyIAzaFzynXilnAuqbxJQhWEsLDfCRBq5ZyEGjvKDMePr+A7H+/Hh3yCPz6RDEEeknnj6IixHCF7stGJBox98ggFUi6e3JxHV5ePqy87sfJyl3/5hIn1XQHPjwThkSkKIR4Gejej47ixOyZPnripsSEtqiqoum5E5Iw4Vkqr/aelQBl6F1SFCM1bgPuhx1L48DfrsW5LIgy/x4Lb5NyOUjCk+O9WhYI1j6S1AG06n6gGu6mkqGtnWnVSZbtrgntEXBs0BdH3BuirQa0piu5EKwEtKoAUzbEpjZ2oReMpi6It4bRVTKTXcrl/BZg6roJ//WQfzp1XhGPRE1GOA7ksVPCqZC2TwugSOXVDEAcBAxLpekycPHVTZ+fYHWvWbkY24xw6wAGAUopg4IEt6eTAe5vbpyDhCE1cOI0O1T24lQJCRJKUoYoQyuztNOzVRTwC5lL8/okUPvbtOqzb6oHLmZ9iQ/AGBxfgolIShC0HKhlQAZlXA1lJmKiiHFEeXiUZmhY7zvs8mMGtF8O5JIZjaawzaEvUuls3AExJUYCaEXtZgtcqaqaqYBlqu+DhXBcuh0AngAD5Tdf04+w5RdBA1LFxFgJa8nNI8EdAbfFwvxrknCEo+pg1axr2DAbvvfnnj21xHGe/p3W/WQW5+vHwK4Nw3Oyunkriz72lv51ZT7uQS3F4iQpc14cgZgh8HfjRzV54VcBHgoEmCLZ2OVi1OoFlP8hj3ZaEALehlsT9GdxbWu/YAgYTwCZVgdnXpBqssuwsClxbJamFUvF0iygvI2C66gldC/DyG7lI55NsXAHYeOKbWjlTvDukHITYzicDCRUTasqHoawok7QgVBVQHlYVUanihIlaFAzE55g+voLvfaIfX/oBx2Ork9i6z4Eq8wGgSneqTqShe/vSapOQz3sUCTfAxM56XHjm1D+/46KFu/oGi2jIp/cL8P3fAgC+/JXrcdElS7v7io0De3ucK0h5I9qbSxgs+fjTag8r/55ESwtDfVZych6xkLr3iTSfNEmwboeL62/L47v/P4utL3uiUNjk2THOJTWtOFFhWzndtpzP0kysku/NaUOkmqKnDoluJ0Zfc93NSqZ1qo5UKpmf6M+pZaE9i8+Yy9E0XTUdDKA/T/UNR2M+Ywej7PrQaLsLnS5hL1tR3BiVqFpCtT+jDYTmUS1NDGedWkHHqAAvbvDQ3UOrkUaMW1fq45wDLMDoZh9vPmcIbY0VdHdTFEtJNNVRfPLKU3HuvHGf3Lr9pZUTxk08EOju34LL0dQ0DaCNTzSkh+5tIOsu3brncXzvrkYsfzSDfX0c568YxtWXD+K8OUWwilRQDK/ZILM0CWzY4eLLt+bxy4dSKAbUCOLsh3frwrIwpUdwb6V1U512acuBvMp6x3FxeVWreDi4WqiiLYZ1ta6d6TfVOK/SeqtAjTR0sC07j/lT3ywcSls7l7WZdn6K9cpkX2/Zx5Bph9Pg9CpQRA1ZUeSXhG4j16WajIH4QHuTjysvZEh6wP+9OYeNO9wwKZ+IH2tGO6Wj4TOcO7eIqy8fxJJZFXT1Ovj1o0V886cc0ybPwfFTT763s3PGE8MD/QcK2wMH+KTOZrDSpi0kMf+j29cud2785biL/9/yHIq+A7Bh3P0HB+k6hvPml8K+6uYFIPqVugQbtztYdmsev3w4hSKo/uGEaHVEed1RWqJlQUrCH2BRE6A65I4Y62eALkpVqhwTg7KYDqbmLqRq/4MeETCbq3U+BrTBM4M6pDoopG8UO/Cj6UpYdKBuAFLdvdbU2UFCsIc92yCinCG4uchhUfmAjIGVgKTHcfl5RYADy27NYdMOV+ST1+BkjOOdS4dw2eISgqEUxjQncdVSjnSSYfUOZ/ncuXM+uvrFnVtnzxh95AEOADQ5EQ+tWLE1nbr4ua1dKy6uT29BjrroHgDqUwXMnlqpEaETljsBbN7l4Eu35HHXQymUILiDZZ0lAmtZ8PDLZcRSRirNoI7Ke1GgtR1JGOtMhzNyL1o3SJRMxzmgtcchIN4Kx4cAVK+Axc1NwJuBIyaLHSLcnNey6jByVThRlp0Lgh8Cnor/KT8T5rDQsPW9+LXhAXGfI+0yXLGkCBDgi/+Sw5ZdgpObB2aMp9d5uLivjARS6OppRKkELFkwCRfUL3yue+cfts6ecc5BncaDAjgAEG8K6ts6blg8e9vEZKXvbTv39KPUXsLlZ/Xh3RcVwMvcuKYaIWVG8NRqD7felcEvHkqhrMCtYGjwBAPsqN5HWtlQNeF6Wj7YlrqWFa8ZkgdiqEkU2NXTdOsb6SChXMsYwO50FbXs0bwUEAWpGnq4oa5wsxJIt5ioLpwgBuipal3BeWBHUIkI84OLiaoIZHEa4RzM50g4DG87vwgw4Ja70nj6BTkxrfHjCAE8ijuW18FLuHjj/DRYqRHUa8ao/Mk/m9Y55wZgx8HC9cCcTHPcefu3cfYZ80qdYzse6OnadtbU0ZVxH3lLHy6YW0DGE8VJhGuVgwLDjODO5Wm87/o8nlyTQIUI04uIZa5KpIo6l4J7k1Aml51hZTGDmp2BGmVp1LgBzL6DpsxuOJjKgZT7GE6nqhtUN4q42ah2JAm1HUuzza9ervYDrGAUYpxJiGOBfPqQqieQdUxGQCs25x1m1ZX9lEPVvjCquCIOJ8ynn3Y69a0IQBQ2zJgY4C1nl9HdR/DiehcVNTOEPtllnsJTG5rx+JpmpJ0ccrmmlZOnnvLWbVteGGwbNeegAb5fHTxuXHH5hRg7OjP07ndeVD5rThINOQbO3TCyJTwmQgDqcRQYwb/9Ko1rb8lhb68TgltaaTNEa7rw5l90PTF0byN5yrLgsC+q+nr1b3iVtY5ePNuZ1Kba5O0m5THHIVFwU1SAoWGLdXIfUxM3dXAugGSvNzV0HQCS1fZmfri22Kjm4hwiCGR8V+RV1QaoGgHDmQQHZxwuOFrrA3ztg4N415uGkXV4jL9GUUIS3f0c63YlMXnm0vLevuTQzFlLDwWqB09R5Oic0Alw9nhbbsoCOvR0OuEW4LgVOK7ILqQE63c5uO8PKXzt9ix6+wUlscKCEiWmM2maDsPBNKBmtn4wixmkZTJVlFr0Iy6qKXX1qO9o8e0DId0HS1Xk18VQFqlvm/QkzMyzo58w9ovSFK19C/AS+0axS98kLUGEixt8Xd4EENOnEAlqKnwE7ZiGoX1xgABYQNBUx/CV9w8i5QHL/5jEhpcddaIpKmClAvrcNKadcPLw2HGdjzv0kOwwgMMAuJfMg7Pez9d1nM/3bX7q4/evfCa1Y1cO82cXcfrsClY962HZ93P40+pkOGubI6+icXdbaEI1uKPCLDETqKqtd1xAp5pjc31vxYDftOSIrFdYjOPgUUTHfC5umKF4tS+PW0eUCecGWEEEOIlZygbVL1A7ntz4nAl2bllqxdGjfJwIt10A1wS2ymQUy8R8T4iIRhJI/ZQFBE15hus/OIAlp5fwpe/n8PizHhbOLmH+rArWvuQBifnFqy5bdBN16Rea6kfONzkqAAcAQhtY747/WLZu14mVHz2c/uz6desTjc0+yj7FP9+Wxconk8ITjLnSJjeo9WfRE009rBxvM6iE+MBFVQ54BMzV3DICWrWsM070UerfJSt8eORnjgRuElmOcyqt7ZEPSmuqrLqiKWKiSnkDSABbIOfaopv5KwRKsbGoiphlWQOXa6pC7FxLuU+YEi4eT2Y2JCNIJRiWLigik+T45x/kMPE4H+9/0zB8v7O8Ys3Yb/zknlXXffEjl46YLbi/cdBOZnSUmq8K/rpuymOzJvaVL5izcTElQ+SpdUn86o8plBk1Ok6ZVz0C3v0Fd8S+MmPQJdq5NKOUes4c7TSaTe3VrMsRZzNUKu1IoO6PQowHCtHr5f7Udihle7FqJ5PY32f+r8hy1VPIeB9dX9UzUZ7WmJu6+rNc+TT295tRUBGJRsz3mvuodAxAVXAZDiwgvty4kzkDKAiaGzj2dDvY28vxzMYONnHcycvecunEb542rq90/bfvPix8Hjq5EeM7n38TvvruF4avfU/Hvc3ti/lvV9Vh3vElnNgZAIFZjKAtsSXyVj3H4605QUxud8xFUSGiOKtscm9jW5XuHWVNgOpbYgbgrEOOHv4BcRPretfarFYQa6N8WhBNSyLvowlVzKATHLCdS0tatP9gbIfhuGqH2Eyatn+7eqaZJ02Am4eRJvx9k4tVzyWwdI6PsxfM54+/dOK9t/xHYTh73JWHC8/Doyhy9PvHozVTvz7XMPYD1/xv99Yc7qHZFACaCM2jyCRz/fDO9h3zHET5QnTolbIblQnuWNoRo5JUTUUyAi2JxSixDzH+choA3A++Y/eNvFdhfPkKE1DcugkkTdElkNzg4ajJv61MQyKCQ5bObnNwzeu5oCWSl8Pg51A8XJ4hQoDADW8OpwKwIGy+73gBBgvAhl312FO6hL3txOkfOAFT1vPy7iMBzcO34AAwbfIclAu0vOSsBbfvG0p84o5HpuPv2zJAOgfi5gDuYlRTBdd9qBfXvHMQTdkgbO1vQsSUDiPpsHKzaZ1DDq5nc6Ownc0qqwwrdDQyJ1fvI1U7gIV8UgPEB4rtA/mQLkNTK/SSAVgAtsWGYZWh1zMQi2/byxD5J/L/aj6t7y5iRDXNp4Ud2ufGnUocoLvg4Fs/zuPzN9djd3f4ZC+VMxgqZDG5LcCy92TQ3uJ+4rgJZ9++b2+5PH3awWveceOIWHAAyNRNxrNrdwYnn/z2jWu2jR4g7m/yjWkOx/OQbRrADe8dwCXnDKEccLQ1B/jK7fXoG6JxvbWMt4b1hpHnjRqWN2q9FYhtudCSAQ1k6ydANd7MCGYcFk1JP+6nHOjgI2zQllurGDLqacmJRj6KzB+Haa2J6VTKXJZovrnhYBJTWeGRCLsibtWXjQPUBfoKFF+9I4/b786j4nt4aVcG172nAI80gpIy2luzeOuM8wZ4aunGSmVzsHDupMOFoxpHDOAAkE5nMVDYs/ztF8//YNJzbvrdgyuaUrSAC85wce6sLNgQQV1uCEvOKOG+R3ysWB3X5y7+ElfJfkA85YBh7SPbos4Y4r7PuG52ICi8iMQ4Huti4pDwHDvM3G5E3lt44jDoALdoCucC00TTDQYSTvOnQM5t620oLoihKcYZM5wRXvt3ACAJjmfWeHh4ZQoD5SSQSePBx5uRdUs4b1YanWNTaBq/sNvNnfExBN3L4TYeobMYjiMK8Mnj6gEA+7r7fvx/LlvszjguccOWDY+2TuoI0DMY9vbO8hJKwxyFUjQ1No7d6mUJXpWlYjbeN9bFKQ8jgdzsYgpj3+iRHOz0gIcC9jjZMPreKmyAbbmJWkcMkOvADCFmQMe22hLsEMBnDCAO0TeNpZuPBGuAc5FESwgQEGSTDMk0B+CAuGnkMx42bnbRXt+IqSct3pttXvCZUrHy41S6/VChV3McEQ4eHc1N9Ui4wY8Wn7Xg2hNmTtsbzjVOkPAYdncBP16exYvbRVFxVPeOGSa4LW3bWDatNrWWa3SLtayz+D8Whk1vUx+H9Urij/Wwhyk4IOa9wbvVBm4AHgaIeTwfh6WcaJ6tgG9wcXkG5eeswY0DM1IHwv0p/LKDaWMCXHlxAW2tZfBKOGmZ6zKM75y6d/rxc6/t66/8KJWuOxJnrmocFYADQCqdx5NPrLidOLlPt7W3dLfU96JvqIiv/HsOt/2qAYVSAnBEw0xEZcT4a14FVoKq3O/YvO8olTE1btiqDBBzMxjosufdGdnZPNJDgZqYYI7IdlV9U6Cm+LZzS8IvMguV7YJl2DeBPAZ9hkT0MuayGTWcvu8i7bl435uG8YWr9qE134vuvhLaR43ubmnKf/rhR/5we1PT0QE3cIQpSnQsOOMN2L3xh3eWym3lR9dO/P5PfvNSfvnKZlHkwKD71MmrJvVSM1atthrA49U8GxEZEDGUBTZwzS82rXLV5FE1HM+jNuK4ivr/ITdWzrIpAUKfPsW9CUBEBDFqxRnnRhqsvDns0L1UTOIbrWrR0hTq5eeJsCas7IBS4KolAbLeLmzcO3qAucd9+KlNQ/95w2feflRP5VEFOADc+XvO2pqyP3tu43R/R1/rv7vu7hQIA7gvykLkiRI1eWarANWVNNKP2wQwIro4UMW/41skk3gLL47bDLICQNRS2ffAEYR+XMKVYtcqIg9IjRvqFNnqipUUJfsUElVnYDmY0N1qzYof3ebN9AEk8O26WzmZgbzjwhso7C5LCUPFd9E3kMGbzxld7Peb/rFrqPTLtNvDbvjM0cXfYYfq9zceWr4cbdPfyl/c0/TimdOza86eRS5BZbv70s4k4CXDPG8Aqm+GqNDXmYTh/JYeCSdwNSeTUmF4mf9NzfA8t8Lx1YXFOp/abOsWriO1bwhCbIpj7R8N0ev3I4XqD+gPtWtJQSI5MkTfBHpZ0ynLwY7NA+fGubCbJ6mZ9uR0j8ScdTrsChzWd7oIAheMOUgmfDz4txQ27plXbGiYeOWkE+k9bR4LOiZ+9GjD7+hxcHPc9uUr8fGlQZBi77z7jYty71owa8IQXA+UOnAdD4R6IJwhT0twgxIQyPnRRf+V6MWLcO7qVhE2IKq32U8ES1mBDRZE1h3LYfJgHllZpYyY6yxLHQZ35Nyaao57I0jDojniXDqcqKIp0np7bgWOU0YFFVDK4AcuypUEShUPg0NpMHfm0Ja+4941bfbVd99zz5jAa/3wK3LOjroFl+MnP/0FbrqhGSfP8dbMOav+JcLoeUMDQ6m8G84pMHN8H6577x4w7mNPL8Vw0QmdUOqAEIoE1TOlORRwZaUO5YYl15X1ZpKV/VqjbUM0ucraTox9zO01LDg9DAtu55fVpk/Q3yXX2fuQiHUntuUOV0F2P6hOI+bGeyhZVk1IRkXjVddHwiujrxDgob8l8K2f5jG+gyOXymJwKAUQgmR2bN/oUWPed+EFP/vZt35I8I9XvuOVgt0rB3AAuPW23+D9n7sIbR0Tnhs7qmnnSZPbFrnl/kxbdhjXXFHCxacXceH8AgYLDH95Og0kXYB6oIQiKTpLuMafmT1oZRLWehUXV2cXRl/jwB1PS2yAx9OSQ6Yo2P/26t4oRPsMJqir6InxPvq/YH5f9P+avdaNuVGpj0y2jFvvS+PTN4/C3ze0YmdXHmOaUqDeKDS2zdmXzIz7GKXNP/EHOnDOOR98JSF39J3M6Pj+9f8EANjT1XOn57nu7x9p/fra5x5tzTgc+3oC5LMBPCJae4mLZDaxt4HH1XQk0V4oUSto1VOiBqe1qArU/9/fUOIPtM+skp7293ES+/bARjQpU4Ty1XEgzNhjVPb4lttDyiGFD1nGBgoxCwRAmHROYwqRVQ6LOFeUoxy48HkG2XwGhb4Aa7Y045ITztzbNmHeZwPm35lKNx5lZMWPVxzgcrS1NKJQGLrjwiWLyJh272vlnvtbKdkhvH8pH9rdq3QFfaTnN2yHKI6bm8XCusA4YgHlGAl0vNYGDfQwIHiAKYWR8LvlJNb6V8T+qHlYckEqLwwhWMNCd45wkgAtGTKhnxMRzQzn7IHomRK+JySsqmeMg1HRpFP0LZRtlcPTxzFcqiCbr8Mppy3aO2Hq6dcGnN+RSh96Rc7hjlfEyaw1stkMXJffPmv2aZ8aO+Xcni3dTSCJsuB/4RwmDiGCe9v9B9WrbDQbAXatx3wcuK3JWxF5VMMAmCWX2dHEqsji/obhyUbvr+p99fQqJrjDV11orLL91CLRzqY51bfoOMuMQI4ZDJLN8Zn8DCMIjPey42xgTP/NAwbql3DRmUm86+3n9pxy6qmfqpT921Op/fcPPJrjmFlwORLJDLr7iz9283O7+9lzk0h2/Dc4+7MHeKCuixQFkpQLp5LrVm0kOu+8kLZoxHpT0wmMc+CqZ9StBbZqm6zzN9QamSti5HJL6xYlPgqvBtjNHQiqrXfVVxm54jqLNpycgPDwt4NyY3pv0UNTzK3EKFFhCAIh0srwg7TgCP0IRigY4QgIB2UOiM9AiQtWoQj8AG++aEFlyTz/02+5YNZGx03eT8ixBTfwKgA4ADTVpRj3n1w+Zsk7E9u3PTPUOKb5lsa2TYQzRpMOD+eYJ6b2bTTNpBrccdOSWHp3xNmMWmliIIpYyIMFKm4sSw4bxla4umE4cKAkRY3oMYTHwavxH/lSs9JePz1sikIIRHye6Oe2TMYy8sBVGIJwgEm1JZxqMCBijnvC4QcA5x4CRjA43MIuPX8e31GY+aECXfhvD6zaXL5kUeuxhlXcqTq24w9/fQYN+XT60We3jn366Y1v3b59z1dXr92FhOsg5QKeE8qDLgVcR/bI58pqy0ZZ1FBWZMOeWuCOk9/0e1NOM6mP/rxuCCTfk/CV2svqWMQ2q6utoQipYArVTyZLxoReZ6cYyGQZm/KYCoj0U7RREE9FQ/ojBGo57P8evncdBlfMweQ6ATzXB2c+kOhENt/2hbZRE37B3OnbOCsMp+vmHWsoqXFMOXh0nD3/ZMyeOXW41N237vOXnvj16TM6vzx71pQgnfLgEKb6nzhKJuRW0XFU9tMtjU3KQmpae5N/x937uvGO2VqNa/6tOHqUhPMRabnFTOJSfq0deKxZUgEYyamZ9hNC3hyuC3l0aMxjubfYPwgIWEDhBxRBQFVAiDGCcoWAI4H6lqlBU8v4L2/rv/TrO3cF61K5E15V4AZeYR38QMfv7v85kse/gd/42f/1x4fu+0kyn+Rze3t63Z7BMjhjSHsECZfDcYxQvAGGsCc40RRGhe+Jzc2t0LwlqVjHowBmUhiTTyseb+jfqNa/o/3BlcNrHYtJp6LWO9Lfu+rMhRtUiqtKlJKqiv4hptZtad7GPtLZBMJz6ToVuC5BgHbUtS0ujZp4xTdzLed88cZlJ/GOSe861rCJHa8qihIde/b1I58IUA7I11Y9s2nBl/71AZoOhhZUCvvcbNoBJSFvZExn0pnUxDGogFNlueN/eq1kfmnUaQQMyqlVdET+b6JvKCdcluv0Mdn0RFETFbTi9v8TenY8uHV43lyWx27SE8eIArtOGGp3HK78G0KEAyqUFIDDc0oY1ZHxG+qwKtP+DyyZm7aqVKbXNuR9OF7DsYZKzfGqBrg5brrtPriulx8eGrht147NV7y8ezft7R9GwCgqQXgx7YgmgePIZf3e5MxyRAt3WTTRQ50sEgE5MXqrGLxbgN3k3Y5jA1w+ffQxaoA7BKBOdC7PcJu6aOaVE4cpaYfKIlS0XD8JJMBdyuE4IcAdykEdm49zDpQrFMUSwEkGLS2tbPyEUT/P5jJXVyr+wJjJlx9rSBzQeM0AHADWr38J6XSqZdv2nR9d9dhTJwwM9Fz66JMb0TtIkUlSuCagBWhcB3AdCXCiLLk5mAxyMBPg3Na25QlT9EPnpminlmhARyx5HMCdqBUXoA7BH3E0DSez+hmjixgU5zaqdaTFN62364RVNa4Bcke8ui5Dwi1jVxeBmzke9fUN93ZOOvm55pZR3y2Xi12t7ROONRQOeLymAC7H1q3bkEjlxvfsefGm365ce+ndv3kepUIfsikHqYSjwOc6ofLiuQSeS+A6WsWQIrVsFM8YEDAuHLDInPCqmke/mgqK+epQAuqEFt1xiFo3EsD1e+FXWAlkkqbwaodTHJuiE4KuBTIww2zKoqy3w+G5HAmPwxMgd2g4h5JLAyTcMhoaUig5J8J3Z9172uxpH+vvH9zS3nHgMyu8WsZrEuAAwPleAN7kR5/cdNLLLw999OlnXly09oW1KAwOgMEBpQSeF+ZrJT2KhBeCPJxcSrtSjHEEjMMPOHyfGyCHVkUMkEinTKs1xOD4ErzxwJY3mOtoqy2fOtQJ5U8JcFdRFrNzriEHwihTQxidDBiBz4CKT+AHBEEQKiTyQhMSPiU8lyPpcaQSDEmPwfPCSXmHSwz5XA7jJkxCc/vUFSU/+d0Smf53gsqGyRNeHbr2wY5XRaDnUAYhrQCwgXO+AcBzQaUyavGCGT9Y9eTayfc/8oyTc8ugNNQTHYcg4VF4bgg4YjzoGeMgAQuTjcCVFWQGJ7eGDOoAYrbDMHRJVNDECJ2jmt+bmrupzkRb0SmdWjl+1X6D7AcYxmdI2IhUWO6KD/gBUQ64PG5HVMo7lIl1DA4N0FjvI1k3J6hrmrkhkxx6X9uYRbsArKvljL9WxmsW4HKIC7Cut6d7nR8ES32SGr1w/il3Pfjgn+o2bd6e9f0heK6DZIIimXDEBQa4CFWDQ1i7AEEA+D4XYJf/AEYIXIOUENFnRGyRMiFV1Mbk8GSE47c1b2o4epK2KICbxyDvMvHVDuWGzk1QKhNU/KjzHH5nEIRPHKQYctk06hpHF6bOXNjv+/7lTmryDkqdLa91YMvxmge4HA2NTfADtmXpWS3benoHZrqEz/cD9sONG9b7e3ZtbioV+/JpL3SghorhY9xxQrpACIHPAuzpYShXNCcmBKoeUQVOxP8LUzyE9VbLOhCk3MERIjxVxQqGDu440AqHALj8vjDgwlVLQKKcxzDiuLfXRU9/+H2uQ+FQgmLZx3ApQDLhgCOBluamgckzJnRP6Ox0AfreTN2kvyZT+T6AMUJeleGRQxqvqkjm4Q7XoSCEsO7egZ7x4457sLGhbuqNN//npH94x9uumz/3tOfHjmlZfdI0WqyvY6j4ARIuQy7NMWN8CdMnDaJ7OEBvAagENqClQuGzcFvFlxQA8BlHwEKqwxkHjzqoAPafXsg1r6faiodKB0fC5Ui4TDmEpkWX+nbCZWisK6O+vh/PbxvE2q0lDBYqGC75ICSAm3DRPZQo5upaVp9wwuznl1x42XUbnv3lpGQqP7WucdSDLOjvIYS8rsANvI4suDkmd44GwrShoe3bt8Fx3G84jvONRQtHOfV1E27JNlemrl3fe0Zvz14nlShiTPswBoIu7C00I8lc5DMMRAWGSOh4cqDih2DmYVo1XNHYP+TLWpqLNBEZcZCIA6mCMU5ojT0vfKWiNZsfEPAKhc9DpcRUWDJJH4lkH7oGPbzc04qxbS4aGzI4btSooKWjfeXorsS6cmnoA9ShQTKZwqKLv8Hrm8cOHevrdTTH6xLg5hgzZiygoeYPD/VffcaiZOPEKV3X33f/w4kk3xXUN9JTijuzp/rchxeU4BAC33fgJoFUgqJUoSgUA5QqQNmHcNI4EuLsUQq4DIAzAjU5kBxx6GQqh0q1I0DS80XwhaDiUwAJFIoOiiUgmQjgOhz9gwz5jI/2Ng+L5xyHVc82P9nczJ5aOGeMM3PWeeVUpuVzgV/saWluONaX5BUdr3uAR0c6UwcAPQD+CQDWrrkPCY8sSjWwJZddyC6vd4emNWeHsObFZ9HVk0Bbgw/PHcTq9T529+bAKcFwmSDtAU0ZFkp6TJaChYwvasA1XdExdit/KrKfzOjzPIZ0qoKGXAmphI9i2UXFp9i7bQjPbkghm8phyvgkeoo+2ttnoXWMg46OYO2b29J3jZvS9LuEw1ecd/6SY33Kj+n4bwfw6Jh2/CUAsGLb7p4V552OP4P5k5JkN6Psebanb0rnvJNbPrtj9wsoewRudh/WbR1Ec1MRhZKDvuEMPBEJTLphZbrjEJEbHn6/TMAKh6xg1/KhDEpxhJye0pDjODRMS80ki+gd3IfCMJBNpeCjDWPHdWBHH0dH20y01vV8fdOazS+devo8OqGzmXoJsjELPDh50mtTtz7S4789wOUY29EIAA/K5f6+fXDdZMNg/45V+wplNLXQymcumPrxPd3p89tbi9jeFeCOn74AUu6H5wDpNEFDnQuHBOgbKGK4xFCXcZBKeGCMY7jIkEo6oJTCcTlKFSAoAQ05IJFiGC5RVFgSrufA83xkMhSUOkikcyhlzkMRWbS0OugeDB6aObHwnTL3vbrmmegcP3rFzFNLvaM6/gfQceN/AF5j1NU3A0AvgPsAgPP1APBib0+yPZsN2OT+En79220Y6B4CoQReggBglUVnzF+2a2//Rbv2FCqtDR7aml0USz729XHUZV2kUxT1WYbuvgBDJYL2JorWxjK6B1IeQ8Ovd2x5epnjel7CY2Ccgjj1qG+ai4pXj4YWRlmavbxlEC8tPnfMsT5Fr4nx+lDzXyXj6aceByGkfcPm3fVbdw7w9iYPHc0Ohks+Xt7H0ZB3kUoSNOQ59nZXUBim6GihaG8qoasvSxKZ0X3g/OWFC+ce65/yuhn/BdcVSCmo3lFQAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjExOjM3KzAwOjAwxvhPJAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzoxMTozNyswMDowMLel95gAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31586659
{'hecke_orbit_code': 9008092641493457, 'n': 1, 'trace_an': 8}
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id: 31586660
{'hecke_orbit_code': 9008092641493457, 'n': 2, 'trace_an': 2}
-
id: 31586661
{'hecke_orbit_code': 9008092641493457, 'n': 3, 'trace_an': -2}
-
id: 31586662
{'hecke_orbit_code': 9008092641493457, 'n': 4, 'trace_an': 6}
-
id: 31586663
{'hecke_orbit_code': 9008092641493457, 'n': 5, 'trace_an': 8}
-
id: 31586664
{'hecke_orbit_code': 9008092641493457, 'n': 6, 'trace_an': 2}
-
id: 31586665
{'hecke_orbit_code': 9008092641493457, 'n': 7, 'trace_an': 1}
-
id: 31586666
{'hecke_orbit_code': 9008092641493457, 'n': 8, 'trace_an': 2}
-
id: 31586667
{'hecke_orbit_code': 9008092641493457, 'n': 9, 'trace_an': -2}
-
id: 31586668
{'hecke_orbit_code': 9008092641493457, 'n': 10, 'trace_an': 2}
-
id: 31586669
{'hecke_orbit_code': 9008092641493457, 'n': 11, 'trace_an': 6}
-
id: 31586670
{'hecke_orbit_code': 9008092641493457, 'n': 12, 'trace_an': -9}
-
id: 31586671
{'hecke_orbit_code': 9008092641493457, 'n': 13, 'trace_an': -4}
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id: 31586672
{'hecke_orbit_code': 9008092641493457, 'n': 14, 'trace_an': -5}
-
id: 31586673
{'hecke_orbit_code': 9008092641493457, 'n': 15, 'trace_an': -2}
-
id: 31586674
{'hecke_orbit_code': 9008092641493457, 'n': 16, 'trace_an': 4}
-
id: 31586675
{'hecke_orbit_code': 9008092641493457, 'n': 17, 'trace_an': -2}
-
id: 31586676
{'hecke_orbit_code': 9008092641493457, 'n': 18, 'trace_an': 2}
-
id: 31586677
{'hecke_orbit_code': 9008092641493457, 'n': 19, 'trace_an': 5}
-
id: 31586678
{'hecke_orbit_code': 9008092641493457, 'n': 20, 'trace_an': 6}
-
id: 31586679
{'hecke_orbit_code': 9008092641493457, 'n': 21, 'trace_an': -4}
-
id: 31586680
{'hecke_orbit_code': 9008092641493457, 'n': 22, 'trace_an': 9}
-
id: 31586681
{'hecke_orbit_code': 9008092641493457, 'n': 23, 'trace_an': -8}
-
id: 31586682
{'hecke_orbit_code': 9008092641493457, 'n': 24, 'trace_an': 2}
-
id: 31586683
{'hecke_orbit_code': 9008092641493457, 'n': 25, 'trace_an': 8}
-
id: 31586684
{'hecke_orbit_code': 9008092641493457, 'n': 26, 'trace_an': 2}
-
id: 31586685
{'hecke_orbit_code': 9008092641493457, 'n': 27, 'trace_an': -2}
-
id: 31586686
{'hecke_orbit_code': 9008092641493457, 'n': 28, 'trace_an': -20}
-
id: 31586687
{'hecke_orbit_code': 9008092641493457, 'n': 29, 'trace_an': -3}
-
id: 31586688
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