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mf_newforms • Show schema
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{'Nk2': 3724, 'analytic_conductor': 7.434072428181204, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [931, 3, [248, 344], [1, 3]], 'cm_discs': [], 'conrey_index': 324, 'dim': 8, 'field_disc': 2672476416, 'field_disc_factorization': [[2, 8], [3, 4], [359, 2]], 'field_poly': [1, 2, 9, -10, 24, -4, 5, 0, 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, 2, 9, -10, 24, -4, 5, 0, 1]], [3, [25, -60, 119, -80, 54, -14, 9, -2, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050738414125987, '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, 7, 3, 1, 3, 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': '931.2.f.o', 'level': 931, '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': False, 'level_primes': [7, 19], 'level_radical': 133, 'minimal_twist': '931.2.a.l', 'nf_label': '8.0.2672476416.4', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{2}+(\\beta _{4}+\\beta _{7})q^{3}+(\\beta _{2}+\\beta _{3}-\\beta _{4}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '931.2.f', 'trace_display': [0, 2, 8, 0], 'trace_hash': 599316884790450345, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.750', 'prec': 17}, 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mf_hecke_cc • Show schema
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'level': 931, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3724, 'analytic_conductor': 7.434072428181204, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [931, 3, [248, 344], [1, 3]], 'conrey_index': 324, 'cusp_dim': 172, 'dim': 120, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 343630939043, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8, 14, 20, 20], 'label': '931.2.f', 'level': 931, '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': False, 'level_primes': [7, 19], 'level_radical': 133, 'mf_dim': 204, 'mf_new_dim': 120, 'num_forms': 18, 'prim_orbit_index': 3, 'relative_dim': 60, 'sturm_bound': 186, 'trace_bound': 3, 'trace_display': [4, 0, 3, 0], 'traces': [120, 4, 0, -56, 3, 0, 0, -24, -56, -4, 15, -10, 0, 0, -8, -40, 10, 2, 4, 0, 0, -16, -2, 8, -73, 20, 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mf_twists_cc • Show schema
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id: 47864007
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 704, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050738414125987, 'source_is_minimal': False, 'source_label': '931.2.f.o.704.2', 'source_level': 931, 'target_conrey_index': 704, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050738414125987, 'target_is_minimal': False, 'target_label': '931.2.f.o.704.2', 'target_level': 931, 'twist_class_label': '931.2.a.l.1.3', 'twist_class_level': 931, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47864008
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 704, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050738414125987, 'source_is_minimal': False, 'source_label': '931.2.f.o.704.2', 'source_level': 931, 'target_conrey_index': 324, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050738414125987, 'target_is_minimal': False, 'target_label': '931.2.f.o.324.2', 'target_level': 931, 'twist_class_label': '931.2.a.l.1.3', 'twist_class_level': 931, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47864009
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 704, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050738414125987, 'source_is_minimal': False, 'source_label': '931.2.f.o.704.2', 'source_level': 931, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043195562001315, 'target_is_minimal': True, 'target_label': '931.2.a.m.1.3', 'target_level': 931, 'twist_class_label': '931.2.a.l.1.3', 'twist_class_level': 931, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47864010
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 704, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050738414125987, 'source_is_minimal': False, 'source_label': '931.2.f.o.704.2', 'source_level': 931, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49539595934630819, 'target_is_minimal': True, 'target_label': '931.2.a.l.1.3', 'target_level': 931, 'twist_class_label': '931.2.a.l.1.3', 'twist_class_level': 931, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47864011
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 704, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050738414125987, 'source_is_minimal': False, 'source_label': '931.2.f.o.704.2', 'source_level': 931, 'target_conrey_index': 324, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547138786755491, 'target_is_minimal': False, 'target_label': '931.2.f.n.324.2', 'target_level': 931, 'twist_class_label': '931.2.a.l.1.3', 'twist_class_level': 931, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47864012
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 704, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050738414125987, 'source_is_minimal': False, 'source_label': '931.2.f.o.704.2', 'source_level': 931, 'target_conrey_index': 704, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547138786755491, 'target_is_minimal': False, 'target_label': '931.2.f.n.704.2', 'target_level': 931, 'twist_class_label': '931.2.a.l.1.3', 'twist_class_level': 931, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 47864013
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 704, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050738414125987, 'source_is_minimal': False, 'source_label': '931.2.f.o.704.2', 'source_level': 931, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 211669182519976123, 'target_is_minimal': False, 'target_label': '8379.2.a.bv.1.2', 'target_level': 8379, 'twist_class_label': '931.2.a.l.1.3', 'twist_class_level': 931, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47864014
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 704, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050738414125987, 'source_is_minimal': False, 'source_label': '931.2.f.o.704.2', 'source_level': 931, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 207165582892605627, 'target_is_minimal': False, 'target_label': '8379.2.a.bu.1.2', 'target_level': 8379, 'twist_class_label': '931.2.a.l.1.3', 'twist_class_level': 931, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1505850
{'charpoly_factorization': [[[1, 2, 9, -10, 24, -4, 5, 0, 1], 1]], 'hecke_orbit_code': 63050738414125987, 'p': 2}
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id: 1505851
{'charpoly_factorization': [[[25, -60, 119, -80, 54, -14, 9, -2, 1], 1]], 'hecke_orbit_code': 63050738414125987, 'p': 3}
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id: 1505852
{'charpoly_factorization': [[[4225, -2080, 1804, -656, 465, -160, 52, -8, 1], 1]], 'hecke_orbit_code': 63050738414125987, 'p': 5}
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id: 1505853
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 63050738414125987, 'p': 7}
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id: 1505854
{'charpoly_factorization': [[[3481, -6018, 9637, -2034, 840, -126, 49, -6, 1], 1]], 'hecke_orbit_code': 63050738414125987, 'p': 11}
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id: 1505855
{'charpoly_factorization': [[[-5, 26, -20, 2, 1], 2]], 'hecke_orbit_code': 63050738414125987, 'p': 13}
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id: 1505856
{'charpoly_factorization': [[[15625, -28500, 49109, -7244, 2478, -272, 87, -8, 1], 1]], 'hecke_orbit_code': 63050738414125987, 'p': 17}
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id: 1505857
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 63050738414125987, 'p': 19}
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id: 1505858
{'charpoly_factorization': [[[3481, -8496, 19910, -2960, 1407, -176, 78, -8, 1], 1]], 'hecke_orbit_code': 63050738414125987, 'p': 23}
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id: 1505859
{'charpoly_factorization': [[[-191, 180, -41, -2, 1], 2]], 'hecke_orbit_code': 63050738414125987, 'p': 29}
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id: 1505860
{'charpoly_factorization': [[[1225, 770, 1429, -594, 694, -44, 27, 0, 1], 1]], 'hecke_orbit_code': 63050738414125987, 'p': 31}
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id: 1505861
{'charpoly_factorization': [[[477481, 247378, 112962, 21696, 4755, 496, 122, 10, 1], 1]], 'hecke_orbit_code': 63050738414125987, 'p': 37}
-
id: 1505862
{'charpoly_factorization': [[[155, -158, 9, 12, 1], 2]], 'hecke_orbit_code': 63050738414125987, 'p': 41}
-
id: 1505863
{'charpoly_factorization': [[[-448, 352, -64, -4, 1], 2]], 'hecke_orbit_code': 63050738414125987, 'p': 43}
-
id: 1505864
{'charpoly_factorization': [[[63123025, -17733240, 4314444, -441728, 50713, -3120, 340, -16, 1], 1]], 'hecke_orbit_code': 63050738414125987, 'p': 47}
-
id: 1505865
{'charpoly_factorization': [[[4225, -6630, 9949, -2274, 1208, 288, 137, 12, 1], 1]], 'hecke_orbit_code': 63050738414125987, 'p': 53}
-
id: 1505866
{'charpoly_factorization': [[[93025, -71370, 59636, -4796, 3837, -692, 180, -14, 1], 1]], 'hecke_orbit_code': 63050738414125987, 'p': 59}
-
id: 1505867
{'charpoly_factorization': [[[469225, -57540, 72816, -19336, 11581, -2088, 304, -20, 1], 1]], 'hecke_orbit_code': 63050738414125987, 'p': 61}
-
id: 1505868
{'charpoly_factorization': [[[5257849, 596180, 436773, -51032, 23108, -842, 165, 2, 1], 1]], 'hecke_orbit_code': 63050738414125987, 'p': 67}
-
id: 1505869
{'charpoly_factorization': [[[3569, -62, -130, 2, 1], 2]], 'hecke_orbit_code': 63050738414125987, 'p': 71}
-
id: 1505870
{'charpoly_factorization': [[[93025, 14640, 19079, 7120, 4098, 976, 201, 16, 1], 1]], 'hecke_orbit_code': 63050738414125987, 'p': 73}
-
id: 1505871
{'charpoly_factorization': [[[256, -4608, 81216, -31360, 13984, 288, 172, -8, 1], 1]], 'hecke_orbit_code': 63050738414125987, 'p': 79}
-
id: 1505872
{'charpoly_factorization': [[[4555, -1352, -37, 20, 1], 2]], 'hecke_orbit_code': 63050738414125987, 'p': 83}
-
id: 1505873
{'charpoly_factorization': [[[5017600, -1648640, 559616, -65792, 14080, -1600, 248, -16, 1], 1]], 'hecke_orbit_code': 63050738414125987, 'p': 89}
-
id: 1505874
{'charpoly_factorization': [[[815, -86, -224, 2, 1], 2]], 'hecke_orbit_code': 63050738414125987, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 15, 'label': '931.2.f.o', 'level': 931, 'portrait': 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DuhWWqHtPuCQeKz3BNsmDAstgzHzykqfsCGadgyF7F+ZsC6mSEbZoZsWW/ZtkFx6Vafqqpz5HiTLz0T8Nj+hKeOxWjV4Ztf0uJNL7JU1Qz7j01y5LTHqfOasym4Dy5Yrr98np9/2zJbZyc4fX6S88sVFls+yy3JSkfT7mm6A9h/dJFDJ1cuffLQ/Ev3nzx/weFT85+56ZVvju77zF9/rSHxVd2+rhl8canFILF4krc/9MShF/3c//yo/JYbDr7o373xlLewMsdyp8HiSo3FVsBiy2OxBUstzVIrZnFFc3YFDi0K5mZX+KXvWeSGi2ucODfN6fN1Ti94nFu0nF1IODmvOd9JmJwe8OIru7xwNwSySqhCzi1VOLPgcXZJ0BtCkhgqgaFe0UxNJBjg2NmEdhe2r/epV4dYK0AEdPuGbRuGLK54YJ0UWenCMAGLZakVsXmdT6evEMoizJBmxWfbxgErPcGx0x7aeMw0JY2KIPQhSQS9oeTskuTMouXcckIYDsBPuOmyLi+6XDDXrLK43OTEuZDTC3BuIeHcUsKpJTi0aLnusgV++XuW2TDZ5PjZac4uVplfDlhoSZZWNMvtmOW2ZqljWOhITnUEy8tdfvvfDZO33Nq4v7ruX5hq85L7pTA/o61PEH79Zke/bhn8vX/xYW5+4TX8h//vP/zqX3zozn//7vd/Ydee4ysX7D/VlS+5osXOzZok19WOvbESkIBACIsnLIGE04tVHjoouXLnEru3DqhVwPckga8IAo96VVLzJb2uz76jFT73WMCx80PaScy+E0PWzyzx+hcvc+WuDtftbnF0IWGhJ6iFAw6ftrTada64ULIy0Ow5qmjUPJ49BhdtsgwizUAHeF7MVAP2nghRnsaXCZ4P/aHkht09+j3Jlbs07b7m2OkGOzYo6rWIlaFl3WSP5W6bD9wJTxzRPHVkwPZNi1x1SZup6YjX3dTh215m2bmhgY4nOXJqgkMnfU6cNZw8H3PyvObQecHxlZgXXDzPL31Ph/WTk5w4O825xRrzKwGLLclyS9PqxKx0NStdy3JXcLanWGonXL97nh97/bysKC5YOHd0RxxFNwa1C6uV2vTnH77/Y/zxu973tYbMmrevSwZ/3/v/hot2blaPPXnwFw4dPfuzDz91VJ1fjlgaepzuGa7Ydo7f+dF5rt5Z49ziFIutGkutCkstn6W2x3IHllua5XbCUidhoQUnlgVedcDNly/x7S+L2LGuzkq3yfmlKvNLAQstwVLLSYTljqHdN7SHlt4gYaYZs229AQShbzl53kfIkO3rFDs2WTat63FueciTBxpce5GlVl3mmYPTNOoRUeQzM2XoD+DSbQP+8s5JLtmaMBxaZickse7TqIQ8e3RA1a9z9cUJTx2OOLcYsHkmZMdG2LYhQqmYkwsQ+BYhLNvXJ0w1JJ1+SLfn0+75LLUVSyuw2DIstTQLLc3ZFiwONNs2d/n2Wxa4ebdHxW9yZqHJwnKFhRWPpbZguWVY6cQsdxy4F7twtqM4t5JwwyVn+Y0fXWTX5jqLKxO0uiG9YQP8i7RX2firQf3CX04Gp/WLb/lnX2vorLp9XQF83/59VKuV6skTJ7c9+vizbz124vSv7D94kn4k6QxgpS+Y7ylOdxKuvfAsv/WjS1x1YZXzy1MsrtRYbldYavsstz2W29DqGFY6CcudhKW25VxLcLprQXR500tavO4Gw4UbK0RRjeVWhZVuQKujWO4KOj3BYGiJEovWoKQl9KEaWiablnXTMZ4/4NCZiKcPhpikzmtujPD8FR7dM8EFG+HTDyW85IqQ860+FU+R6JjpKUhiH89PWFys8eJr2nz6gQY7NsIjB4b41Hj1DYZE9Hn6kObIyQqeDFg/5TFVF1RDQRAIlIDEQBRbBhF0epaVrqHTM6z0DItdS19rtm/p8boXtnjTiyIwDRZXJji/VGUxI4MWrHQ0rW7CSgrupR6caSvm25rrLj7Hb/zoeS7bXmV+eZKVTo12N6Td9VluC8L6FurN9T+3YfPuv964afPx4XDQv+iiS77WUMpvXzcAP3X8AOvm5oL9Bw9+/959B97xwJeeEEsrXTmMLb2BoTOwdPqw0pec70vOdGJu2HWeX/+hRa7ZVWFhZZLFlTrL7ZCVTsByx2OlI2h1LK2uZqWT0OoalruW8x3BmZZharLHK6/rcNPuhO3rFc2qT7tTIfQloIgSiTECY6E3AIRhqjHgwCmLsRF3PFJn2Kuya3PAzVf2iM0K9zw2ydUX+Rw426W13OSFV/b4/KMh66cte45Z/tUb2+w5GrJ+WvK5xxQ3X6pY6rU5fGKaqy+OuOfpPsmwxk2XBezcOqCfdPnsowq04NBJj2bNwxPQ60uMFWhjiRNAGrzA0Opa6o2YrRuHvOjSHq+8NmGmXuHc0gSLK1WW2+7cLLcFrS60OgmtbkKrq2n1LEs9ydmOYKGTcOMl8/zqD81z1Y4K8ysTBbh7Pp2eR7ev6A0Eia2YbRdcbrdt3/XjOy686E8XF89Hl1/29QHyrwuAx3Eih8P+6x9+4NO74jj+jUceedRvdQX9gaU/TOgNDL2BoTu0dPqCVl9wvi853Uq46dLzvP2H5rl2Z8BKe4L55QatboWVTsBK16PVUbR60Ola2r2EdlfT7RtaPct8VzDfhVgPueqiPhumNd2e5bUvHHLBBkOiJZ60RDHc/WSF4+crbJxKeOZQBUyN3VsU11xiCCs9Hj3QY36hzuUX1GlOLvPAUz7XX1RhsbfC8nKTDRssD+1R/POXd3l4j8eWdT4L3RbLS9Ncc2mPB57RTFcnuXxXl/OtFg89N0nVq3PdJZaLtw1AdnnyiGDddMy5+Zh7nvQZxAopQRvLBRsjXvnCiE5XsWnKcM1FEEU1llo1llohK12fdk/R6kraXWj3NO2uptPTtHuGlZ5lqS851Ra0+kNuvnieX/7BZa67yF0crU6Vdi+k0/Pp9D06fUW3L+kNBO2uZrkdcc0118e+7/+nN3/r6w/Wa9VPKM83X2tsfc0zmVHURSfd7zl55LHfOX/mwPTi4hKVUGGsCxTdJZggBCCcBSiERUqLlB4P71/Pz7zL4403L/EdL19ix+aIs4tNwqBKNQyohT71qkenKmn0fSbqHr2BptvXrB8a+kNLZxCyNF/h5AlLlBhOnU0IQwsIAmXxpKDXVwh8kp7HCy4Q7Nxk2ba5x1B3uP1hxd6DU7zq2pBrLl3mvbdbAlHjgs09nnpAsXlSMdvsUVFVotjnfAfqFY8t6wVP7I245uIqL7t6gT/7ZJ/Ab/CKGy1+2OMLD0V8+sE6zx2pcuGmGhds1MxNReyYjbniAo1SBk9ZwFILQ+YmQ6LYp9MLeOaA70oU+oruQNLtQ3dg6fbcZ+/0Nd2+pd23rPRhvqc4t2ypTbT4idfM889uHnLVhXXOLDRpdSt0cnArugNFLwV3b2AZRhZjJPd/6WF/enr2d+bWbVh66Ytu+HedTu/PGo3a/70AT+IuAn7w3Mn73n5s/93TyaBLJQhyV8RaASiEACE0QoAUrpNGSYuSmkBKnjowx+P76xw4fZ43vqjLiy4bMNlostSqUW9XaPYDur2UdQaS/sCjN/QYDC2DyBDFlji2JNrdoyTAGpBK4HuCSiCYbAimGrBh1rBlfY/ZqRafeRTufdxHmgleda3PC3Z3uO+5mGjQ5OYXCFr9PucX69x0sWF2skfVCxkkivl2jDKCF1zsUWsMeWxfhZdeM8ELr+rw2D4FdoJrLwv4gW9e4vNPRHzu4Tp7jlfYNqfYMF1lqlFjogHVEHzPoiQYC3uOCLQWxIkgSmAY4z7jUNMfGgZDtxL2hoZuH9pDmO9KzndgaAbcdvUSr39Ri+96hSFJmpxdqNPuVuj0A7p9n25f0UllSW+QrbCG/lATxYbh0HLg8GmOn7l9eqmt//ubXv9Sr9XuvWui+bUD+dcM4IPBEsaYH1g5e+fb50/csU4xoNkI6Q80gkw7ZZafQgiBlKTgBqUsnrL4ylD1BQu9Ku+/cwtfeLzNS65Y4W23rXDFji4zkzUWV2p0+iG9vp8CW7l7JBjGkjgRJIlb6l3tlgsqPQ8qAdSqhulGzOZ1PRK6HDgV84F7Khw+UWcyrHL9ZR43Xdnmof0t7vhSkxsvqrBtY4+/vFOgREizEbPSHWIsKAFzzR7tToBJqrz+Jed5/6dr7DxX4XU39ojiRe55eoZYV7jhsnW87vo2F21t8YXHejx1osaTRwK2TEumm4JaKAh8dxFKAUJYjAVjLHGSXqyxZRi7C3kQQT+CzkCwPBQsdUB4A66+ZIW3vXKFl1ymmWlWWW7XaHWqdHoh3YFPt1+sBL2hpD+AXnbhDDSDoaEfuWA31or5sy3e8/7PrevHvP07/9mL7Ln55Xevn5v6pw/whRWL8hDRfTN24finvzeJe7/RXXpi1iTLVMIKFg0pwDKUCyEcuIVESQ8pNUqJdHk2+MoSepaqJ1geKBZbU3zw7joPPtPl5qtWeNsrVrh6Z4sZXSVJQnqDCt2+T3/oEcWKOJEkWqKNcLIIixSWMDDUKglhEBH4Q04tDvnkI5KDJwOOnJxCmZCdGwMu3aG4dncbFc7z9KEGmydrXH4hbJhbZqnd5IrNksRYPvNwyLAnmawnvPqGAZ+4J+b42QaX7PI5szLg2cM+W9dPcdWOee57qsMDzwqGUcDuHdPs3hqye0uHQ2eWOHgKHt5b48DhOjVPEHqSemip+CClO23Wuos10RAlEGlBdyhoDwTtGCKTYOyA6y5q87ZXtnnJFZqN0yGDwQSLrQqdbkh3ENDre06ODBT9oaA/kPSHrm90MNQMonRliOwoyK1i8XyLP//gF9YdP3H2NyYm6slv/sFn3tsze/mFn/zJf7oA13oAovKS7kV3vFsv/tF0YJdmFR5h4CFEnOLaplIkvUuBlBJPCZRSKCXwlMFTGt8TBJ4h8C2hb6kFmsmKoDP0WW5P8eF7m9z55ID1Uz3eekuL3VsHDPpdLt9h2bpBMYx9tFZo4ySRwCKlwfc0x85ZjpwVrPQNH7+vxqmFKWzkM1VRbJrx2L7B48LNcPnONkYu8M5P1FlamuDG3R6X72zxhScFIvFZNyWp1xJ6cYC0EqxEeQGtgeDckuAyW+OWazvc/1iVTbMBN14+zb/45gX+9NMdHt5XpzvwWVxpsGNTlUs29rjh4g7f+tIOp5eW+Ph9IYu9kGNnfE6dCvCVO1cCgbEWbSA2Fp0YpmZirrysx3AYs3vrkDffMmTdhGK6ERLHFc7MV+j1A3pDt8r1c2BLB+6hYDDErQRDzSAyDIfagTu99yPox4JBJEis4vCZNs998MHZm66e+r1Xvmg6/vDtrfe9+33/gx/4rn/7Tw/gP/Grf8n6mYr4sw/84Y7lhb0Xb599jtfcUGGlVWcwDFDSONIWFiGd1hYSpJRICUrKFNwO7J4n8D1N4AkC31DxLdXYUossExXNVFXQiySdqM6Rk3V+/X3TYBJEknDtlT12bIhIEjDWYK1L4kghkErg+QH7jgfsOVihXvFoBJLZmmBuRrJu2mPTnGL7Rs0l21fQYpHf/0iTY8cnufFin90XaPpJhy89HTJZ9ZmZsEw2ImpVJ4WMkbQGiqWuZbGlaXWrvPjyFR7Z02PvccVks8INl03yQ69f5A8+Co8drNPtW1Y6HueWmmyYrbFuasD2mQH/4S09mrUWTx2BfSckvm9RyiKEAaz7z0KSwAUbNDdfkaBjnzgJsbbGIPI5uxDQH7oVbRCpXL71I8FgKBhEjrWHkcvKDoeGYWQYxCZ9L7s7cPdjQTcWdGJBK4Zhe4jtPT45V934J7/9L3clt73imz74lpd5dmLrT/zTAfhv/8/3ce3OaRX81/e+6T0fX3jnfY+d5rYXNLlwQ5uLtxn8XpX+oJI6I2kAKXyUsiipUEqlelvie05zBr5i6EuGkSGMNMPYUo0Nw9gQRZZmAsPYMEwgSgSDWDLUIbGusPdgnSf3grYWB22njX0JgXI1H40QLt8IzSpM1CVTDcXMpMe6adi2YcjGuRViu8Tvf2SCQ4cnuOZCxYVbJDu3LHPXswnnFie4dodkqmmoBH1CGWKVINESYS2JjljuVji36HPN7iovuLjDfY9VWD8lqFUaXHOx4SfetMjvfdTw7KkGK13DSkcxv+wxO1lnqlllqjlBsxYzV4/Zfk1E6Cf4XoJSGimc1rO4iyqOFefnPeJEESeKKFYM4/QxkgxjyTCSDCLJMBIuQI0Ew8gyjNx5HUaaKEo1fezeH0QwiAWDGHqxoBMJWrGgE1n0sM8LLlziX711hRdeMl+LRfW9J/Z83pxeuv4jex9/n959zXd94wP8v/3u+8AP1Z1Pn3nzuVNn/uyZ505XErmO2x+q4HuCX/7hFpdu1nhSI6UuAC4tSnkoafGVxfcUvmfxI0ngC/cl+IJhoIhiB/Q4tkSJdq5IUrprSLRFa4M2OL1tyMEtBCgJngTfh9ATVEJBLZTUa4qJmmRqQrBuOmH7hh6N+gofuT/inqenWVlocuU2xfaNPhdtHaDFCp95uEbd95ibUjRqA54+BM8d9rhiq6U3VFx1UcyVOy1nz2jmlwP6gxqvub7DF5/qc+CUol6VhEGTKy40/PL3LnL3s30+cfcsi23L9nWa5ZbHZFMxUfdp1HzqVUslNISBIfQ0nnJEIdPWSmtxCSsjSIwk0YIkEcSJJEoEcSwZxs55iWJBFFuiCIaxc0eiEnEM4/LdgbufgTuWrMTQHyaIpM8125f4xR9e5NXXWdq9KTpLpyoDO/fn043nvq9aa37o8DN/ri+84ru/sQG+0LUyWm5/x9Gjp//wwP5jlWboM0TQpsnfPiCJhoo339rmLS/vMNVM6PQc2D1P43k+vqfxPQ8/9gg9xcB3TDP0JVEgiGLhvpxYEScQxdI5CElh+yXaoLVzF7RNnZI0mM3cGSWd7Ak8QRhIKqGkXhU0a5bJhmH99JC5qQ6JXeGDX5T86adnWFepcOU2wbaNPhdsMmzfuMxHvmRZWqqwe4NiqgmNWsy5o5LzyyHBDhjGgrkJyeQkHDhiWW4bzi5UuOiCCi+/tsMn760w04AwCFBykit2Cn74defx5Xn+9r4pnjtVYX07Zt1kwkRd0agqalVJNfQIAwh98DznMGVxTA5y3IWtDWgtSDQp0CHWliiBONaOFGJDlD3GJrUdM1cmtSCTQpK0E0knNkSDiImwzbe/ZpG33NLltquh3W3Q7VfRJiTqH6jUqoM/CdQmrxJ4f4XjmW9MgL/jXR8l0eZ7P3vfkd96au+JZi3w8LA0PYHGoy/qfOYRxZeerXBmeZF/9aYeU82EQZjQ6SV4XoDv+fieTxBpIt8jiJw0iWKXSneMIxwTpayUJBBr0No5Cca4gMsYm/VwpuB2AHfaXuB7DiCVEGoVQ6OaMNlImJvsMzu1wv17I/78jir7jkxywYTPzg2wZUPAlvVwybY2vaTNQ3uaVJXP3JRisgGTjSFTEwlB4CGEu7j6w4CldsxKz9LqJpxfDti2ocELd5/njod77DvVpBbG+CpAiAl2blZ89ysWuO6S8/z5HQ0eemaSxa7HumbCZC2hVpFUK4rQF4S+xPddrKIUqX3oUG5xPazGkAM90SZd3VJrMTEk2oE7iSFKbHGPnSszSByp9GJBOxF0EhgMEkzSZ6ba4ce/bYH/7zt71MKQdrtKf1hhGAdo445t2D3UXDH8vt+8Nji692/+9ILd3/qNB/Cl5RZKyh/8g3f9zdvPnzo5M1uXGGtRRrhTLSxKKHqyRmug+K2/9tlzaJnXv7THLVd3WD87pNOu0vcCAj8gDHyGkXNcolQ7RokkjiVR4pbdOEk9bU1q/ZEyt8RYCnC7JGXK3OAplzAJfEslMFQrCY1KwlRzyMbZNudaPd7xcZ/PPDLN0nKdXXOCbesEm9cFbFkn2LFpgBes8P57PA6fqHPxeslUQzJR10g55NS8JfQkUoC1gij22L6uzcNo2j3FcttybqnKxVsqfOstLT70hYCj50J8L0YIH2PrxInk2h3LbP/ONp95rMdffmaaR4/W2TwlmK1r6hVNJRCEviDwXaziKVzgLEVek2FxF5mxOKdFO8BnIE+0k3QO7BBpV+sSZcmjRNBPoJNIOgn0I4PuDdky2+Fl1yzzhpf2eO31Bk/UWVquECUBwyggin3ixCPRgv6gjm6dn5lRvd/YdcW3qeGg9a6w8o9TU/6PAvCVlRaB7/+LT99xz9uffubZdbXQkhhItGNWl40UeAJ8IeiICq3I4/13Vbj7qQ7X7G7zna/o8bobW8xMhvQHIf1hQOj7RIlPFHt5oJQkilhLkkQSa0GSSLQWaCMKrW0EuSqx5DakUs518JUh8A1hoKmGCY3qkNnJLv24zxeetnzgrgkeemaSqcDnis2WjdOS9TMBm+YkW9ZHXLh5maeO9vn4F+eYUB5zE4JmXdCsxbR6mk9/qUIjcPansdAferz+5iGfetDVxLS6hvPLHlvWNXjji7o8tLfDngMB9TBBSeFAbmoMIqf1v/vlLS7eeJ73393mgecmOb5cZUNTMFGx1AJDxTMEPs5alaQJMve5sxSaSaWaMcUKl6RAdwQBsRbEOgW2FgwSQS8RdDUu5oki6tUeb3zVEt/xijbXXqxZP+XTH9RpdwOiKGAY+wxTcMelvEMUCzpH9q8z8ktv33XpS0y3035PvdH8+gb4ysoK7XYX4HvuvPuLv/nZO+6c6bVXqIWSOGUGlbjUshLu7klLKAUd5dPzFSfbIacfrPHg010+dGWHN7+8z6tvHjA9GRANQ4aJn7NBnAI90YpEpwkbXQDc2JS5TVFTJoRNg0pXx+F5hsDXhEFMNYxoVPto+nz+Mcn77pzkmSMTiDjkginLxknL7KRibjpgw6xk01zMtg1tTsx3+KNP1EmGVbZsEUw2PJp1aNZihB/R7teZbFiEEFgLcSKZDhWJSejEAZ2eZrmtODVf5bILG/zIt6zwG38Vcmy+jqfi9MLwSJIKg0iyYSbk2l1trrywy7PHTvGBu6rc8egkp1tV6qGiEUDdtwSexVfuHCuZSrLS92UAa9xFp41AW0i0cP65FkTaJYn6WtDX0E8sSZJg4iEzlT6vuW2Ft97W4SVXxExUfaK4znIrZBgHxIlHFPlEiSKOPfeYOIBnq25v0GZ++Z51w1j95u7LrksWzp/+32G1TqPxD8fm/6AA73T61Or1Nzz8yKN/8Nk7vtBstVpUQoVMLDJx6WQl3MmWIk2Ha2fPhdpQVYKeCuglHueHFf72wTr3PNPjhs91+clv63DptjbrJhXNmkcUB0SJT5IUINcZwI3EWIm1pDUtGbjTVL+yLlnkJYRBgq8i2v2Y+XbM736kwpHzUzy2ZxJrAmaqgnWzltkJwUxTMTPps35GsmEmYfNcj5nJZT7zuOHR5ya5cotgqiFp1CTNmqFejRD+kDD08JT7/daC1pL+0KM/iEmMoNM3dLqWpbbP2cUmN13S5YWXrfD+z1WoLik86ZJgxnokOiCKXY/n7GSF63Z2uW5Xl4dfdppj85I/v2OS8ys1Ti6GBEpS9wVBJsOkCzxzIs+kCo7JEytIDMRGMNQwSCAyFnQCSYxUQzZN9blyu/s+rr9U06x6JEmdVscBO0m8lIBUutJK9zxRxHHG3pmUlPR7bR556K4ZhPqDyy5/wfJg2P/4PyQm/8EA/sTTe9m8eYP6/T/8i10HDx5oLi8u4/seUlsEBaBjLVIWd+D2tMBXliCxhFpQU4K+EvS8kL72WYyq3PHoBPc/16ceDvm+17bYMpNwwaY+N13ewROuRUwIJ1dcVtLVSrtirRTcWIS0KOE8c0sCMuHZI5JH9np88qEGzx5vECU1Gp5irmqZrlumatb54E2P6QmPmUnBhumETXN9Ns4tc88zQ975yXVsnPSYa0KzrmjWBY1aQjUccv9+xSDy8OsOVNYKokRS8RRXX9znwacnXeFTX7PS9llYCTm3MMWPvO4cJxcWefCJOXwJiBgDOYCGkaTb95hqVJhs1nnhxT1edmWP77x1nr0nDJ96qMJDe6vsP1wnER7DoaIXK5SQefkDZIFnmhOwhsRYrDH4QjMRRFSIeeE1XXZsHLBlNuZtrx5SDST1qk8U1Wh1gnQl9VLCUbnXnjP22D3RmSEgAMmw3+LIvnuaxCd3XXvzd6j5swf03IaLvn4A/txzz7Fty7rgvgce+n4l9G8tLS7iewohs1oSENKmaXeLkgKV4CSCtngJ+FLgG0uYWCpKUNOCoYGB9ulrn56u0OlofvP9U9gkZv3cgMu2DZiZSHjzy/tsWxcRxyLV2xJKzE2qP6U0CCn48N1VnjpUR3gex07XOHWuRqWqmAgFk3VLs2JoVqBRFUzUFM2GYqrhMTMJs5MJ62cGbF7XRtsVPvzFJv1unYu2WJo1RaMmaVQNjUqC70d85sEKw57EX+dKxzKJUq8qXnNDn3sfN3SHkm5f0+55rHQ8zi7WuHRHgze/pM1jz9Y4ttRASQPEqV72ibViGLvETHfg0eoGNKo16tUhl24ZcOMlA06cb3H0zAqer3nysMeH7qohlCtcY3z+oDWAAWuJI8329QlvfXmf2abmku2W9TOgE59h1CBJfJbbPkmsiLWXxkGKOHYraZyoNCZKAZ2INE4SaZwknBev3fclpWJpaYnZ9fq39j73aK8+deGf7t+/N7r44t1fHwA/e/YkrZWFi0+dOPGOZ59+VDZr7iQaa90XIjJgp/pbpvLECLzE6cRYW3wNiRKE2lIxlkQLImOJtGBoJEMtiYxPbGC+2+SupwwWzcceciMbsCa9Z1m81CITWUWiRCpFEntI4+F7kkYIO+Ysdd9QCw21EGqhoF6VNKpODk00JFNNmJlImJsasmmug2aZ3/2bCvc9vY6dMzBVS9m7JmlUE2rViHqtT7VaI1QSJVMNjpMDcewz6Av6Q01nqOgODJ2+cS1z9YCT5yZ48WVDfuIt5/idD3kcXwkRwmBtjNGWOPGJYslg6MpYG32PeiWgVq1QC2tUwphGNeLaiyICP+b6ixLedlsPTyVpEsiU6u0zkLsVxhiJEJLQV0DAYOixuOy5uh2dxTzpPZFFDJSkd+3AnTlbyRiok9SD16net1bQjwT3P/CYvORy7x1z63pfjKLhM/8Q2Pw/BviTD3+YqUlbPXho35tOHz8sZqYColigtUUb4x6lRRrQUqQZSidPEu20YaLB0673Mckiep1G9Vlkb0Tx2ggiI0msRBuP2ITo1PYq3/IspQBPCJepVFCpWiqepaI0oQ+hB5XAUg0F1UBSq0pqFc8BvC6YbBimmwkzk0PWTXfZtG6Rd37S8Jd3rGfrpGK2YWjWFY2aol6DWlXTqMacWTQcOhNSCdwFDVmln2AQeezYYNgwO6A9COgPbMrikpWOR6NaoVGb5G23nefwmbP8ycc340kPi0EbTWIsceIxjBT9yBVF9SqS2sCjGvpUQ02r42KMwNcuYea7JJpSxmWNhU2D7rRuJS3hdCAXtExaZWlcXKO1xBhJYop4x4E1C/Cz56XHMWBr7QLZxGTPU/2vXVvgF+97XGza2nrTpi0XHPrj93yw/yP/4i1fW4DXqzJorZz76X7n7E/7ciAbVcVApT6qFrm/qrRBS4tWoLRAp/IkMeBp51frLPlgbPra5u8Vz4tKOeflijxQKmtuyCoSXWDlSYMnSWtawFcC37PON/YElVBSCSTVUFGtKBpVSaNmmahrJhsJ080hs1M9tq1f5KH9Q95/9yamKiHrG4ZmTThwVyX1iqFeSWjUhjy0D57cW2PXnM2lWpY27w8V119iuWhbn4efmaQ3tPQHmm7fS0HuU6tUqVYm+faXLvHk/vM8uGcDWIUx2pXDJpYktnk9SX/oURtYqhVFJTCEgU8YaELP4Hka33Mlxkq5cggpXWkwwiJKdcpFcO5KiE3mSJnMfi1ZsRmwTQbg7HWWLR0DdwrsDNyJgSQtqRhGlpVOVw7NmV8QXi2oN+q/CkRfM4APBj0ZDfu/eM/n3/fvTp8+F1h8fN8Bz9VwO2mipUVLB2qtLUoZd4KUxTM2ZXvXQGs0+XOdZdxslnmzqewhT1ZYayll3kdW3KLkNpNFacZSUSractm/MFBUQkU1FNSqgkbV0qxpJuoJk40hMxN9Ns0t8+C+Pr/4Z+s5fnKSC2cNkzVoVhX1qqJegXpFU63EBP6A1sAVi/nKxR/ZTRvHcHES0KzG9BJDL62z7g00nZ6kVVXUOiGVsMEFG2J++ftb/Jf3Sr60Zz0WhbEGrQ2JTogSQxQrBpGiH0qqQ0UlkISBJQwUoWfwfef3e8qdf6UcwFUqU4Swow26aWrfpiRi01oWnQJem+LRkZFMH0UB8PR5GdhJicySbNXWro4oTtx5mj93OtgwN/Gfvu87X+d/X6/3c9Va7e+dzv97A7zbbZMk8a8+8dj9/+bI0dMVie/+QWmxvkiDupStpSBJwa2ldSdGWQdibTHZcyMwxuZpZJN7tGCNdV3kaQlo+c4YwFPZXRyDcOBWykkiL21F8z1JGLgBQJXQjWSohpZ6xdCoaZq1mIlGxHSzz6a5FR7c2+O//Oks+45Ps33aOSyNqqRek469q5ZaRVOrxMQ64i8+10AqhS8tShQ2obHZEu7z3a9a5rOPRnSikF4K8G5f0ekqWqFHJQgJ/SaXbE34lR9Y5Of/VPDAM+sxVqKNS6vHiQPIMDIMK67cNQwFFV8QBi6zGXg2z9h6yiBVZtda1yiRAbxIeQIpieByCc5tSQP5DMDp1AGTJ9cKba1zkJPLzjxralwphU5LBZLEYUEA9ZrH2TPHK3fdfe+/fdUrXy7a7fbPNJt/vyTQ3xvgp08ewVj7wgP7nqgKGyGVOwGesnknjpKQSNASlHFA116WHs7AnckP957JayWK9isHdOHqKDJQZyd+7LgygMvSMcgSe3teVnci8X3p6jcCQSV0M09qoaZedeBu1iMmm33mJls8tLfHL75nmmePzbJlSjBTL0mTike94upXqpWEahjh+0NOLU7hK+Fq3UWqb0lXIy1JEsXGKUuSxLTjStopY+gPNJ2BpNpTVAKfwK/gexPs3pLwK/9inv/8bnjwuXVoIx3AtSVOdMrkhmFoqESSQaByCeb74Hupc6Wki4MkqUxJXS5RnMMyaVibZoJNyuqZPEyTQ1m2WOvS+6aQnLn81DZfiR25pTGayeqGDMa4I+j2hjz40GPVC3dc8EIp//47Tvy9AP7cE7fTqAxqd9/1hcDEK4RBuR9QIIw7WTplTq1KHzRldGMs2iMH+yiwMxlic6DbTI5kz5/n2KQoiqikdB1BGbiVlGmjRCZPoOJDGBiqFUs1dPq5Vo1p1iIm631mp1o8emDAz79riqePzbFpUjFXN0xUBY2KpFZR1KqCasVdHC7VH/HgHkF3EFBRpBeZW9WyJgRtBHHiUa8obrq8w0PPNunFTqb0h5peX9EJFWGgCPwg1c+TXLrV8Gs/dJ6f+mN4YM86YiOJjUmbpYsezGEgCQPj2Nsv6ug9ld1JZUoh42Sa5V0L5FlSyGYATwGvc+eFNVdek8ZSJgO1KRFcBnZd/NzkJpjg7PllPvChvw1ue+Vran/1wU/1vvMt3/SPD/D28mEak5snn3n0Y39UCzsvTcLYBT55AU8KZOFckzw41AItcYydL2lglFibtUuANjmwi6ZgUu2dfxnCFRRl3ntWZKRygINKKwZ9DwIf1wkUpAVWoaaayotGdchEo89Uo80TB4f8/LumePLoOjZMeszVDBNVqFcE9aqiVlXUcvbWVMKERm3APU8GrLQqTE0VafIMMCbVprFWrJtR3PaCLvc8YlwXTWRKIJdUfEnF9/C9AM+rIqXh0q2Wt//QeX7qjy0P7FtHbDzitALQlb06Jg9jmVcXBp7E89IiLClQXnZuyI8vuwgzqSKyqjSKhND43ZQejSk95itvabW2awO7/J4rrUhxNIhhvvfSAwePvPsHv+/NP/rcvqMrl11ywT8uwHvt0wx68z816Bz8DmnOU6+GJFqXgg5bsHYePIpUZ2dXucAo8qveTWjKZAg5e48EkuPMnSI9y8jl2ltmFXSF7s4qBj2Fq8/wLL7vGosrgaESaKqVhFolpl4Z0qgNmJ5o8dj+IT/9x7M8cXg96yZ91tU0EzWbgjtl74qkGjr2r4QJtTAiMUM6UYhQEj9j8FyDi5Td0gKx2KceDFy5QFRhKgP5QNMLHIOHgXQ18V62Aa3ligssv/Gj5/iPf2h4YO96YuMx1IJIm5TFBZXYEPqWwHe9q14ad7j+VpG2Abrz5GSKKK2A7qzmF2Y51hkDd05CJWIqg7uIq1KQa3InTI/8nJzsdGoHzx9fwK8e+Y5773/8UBTF//kflcF7rWNUm1u37330f10Z905SCUElmlgLdCLRNgVzZvFJUXywtLJP29Iylmo3ky/b5RMmSkxRZCVtec3MWLscVGbLbdqho9JgyvPSzqC0CCmrHqz4OtXNMdXKkKlmj4l6hwf3JPzMO2d5/PB65iY85qqaiYqlkYK7WnF2YgbuaqipBAnNesSeo5a7H6sTSImvTBrEFR5FtnzHWpEYj1uujdl1YZdDx6vM1Sj6HIea3iBlYU/heX7e7SSE5fLt8Gs/vMB//mPDF5+dYxBXXTIssdTSGu7Qx4Hcy1Yvk0oUiVQ6X+GUFCWAixLIWaVXCpDbUYDnFYrFyrvWyrw2oIv3crs4sRir2H/4DLd/4ZErf/0Xfnj7voMnj12ya8s/PMCtPQZMXtBbuut/eJx/gxRtAj9ECo2UEi1tagUJjJQpiIuS1Sz6NmZsKcsZOy1rzT3tMZdklVuSMvc4uIVFqiJbqmQ6PyVl7sAz+L4h9A1hkFAJEiphRK0yZHqix3Knx73PwK+9bwNPHZxlNgX3ZNXSqArqFZF75c55MY69Awfwajgk0ppBv0JFuYtMitLST6ZZRRpoek7Le0OGkU270m0+iiEINIHv4fsSTymU9HOAI+CqHYJf+9FlfvOvEh7YO8PpVpNBXTKpLY3EUkknDoS+Tb3/zEmxOXtnUiUDeH686UGXcZ4rxPRLyVbVAtyjkrKQHDYnsEK+FMAuk18ma+PEFX4tL/c5fHLlDX/x0Qf1i1541b996JkzR2+8YuM/LMD37d0Psn6j6TzyJtt9nGo4hcCkes267ncjMLnuzgCdLcklgKdBiVuubXoCROnEjGq+4jaqCrMvwY17yNjbpvLEloYDubJY3zPpmAmdgzsMUnBPd5lf7vP2v6jx8S/NsdCdYm5CMldJwV1xuruWBpbVUFILbcrgTntXwgiIuPOJgOU4YCZkpB4bMbpCae2aH5qhx8uv6fHgvohOHDKRd6wbgqGrVQ88B3BPWZT0EdIlaLCwe6vkd36yzace7POr71nPyYUp+pMek4GgkRhqCYSxG70cKDfQyM8CTSnyIDh7LAfq5QtTiLxXJP9+YExCloFdip9MGfzlILTE7IWEzVY44fpprcfdj+3j0ksn3nTdpfIvom7/6D8ogw/6PcJK9aL7H7jnX+99ai/XXezhK4vyNBbHJCoDtZSUGw20lUXTQVlr56DOJIgtbKhx1i7LkvREZ8ySpZszF0BlAFcWTzpge8qB2/c0ga8J/IRKEBMGMY1qH8/rcc+Tmnd/uskn71tHZJqsawpmK06WOAsw88lVehcpc5fZO8bzhtz/3CS9yGNjLTuecQbPVjdXSlrxFS+8tE9iHMD7sXBd61nn+tC44NATKYu7C1mkyXWLYHZS8B23dmmEp3nPp/vc+9wMZ+MqvYqkmVjqnnUg99I4RNk0LkmL32R2DkVROy5BUrD4+I6CuVTJRlQwrs3L3UNF8OjcFzu6io8A3OEizrOdLqBfOvsUOrr0X7/4xlse7/X6B2q16v85wBfOn+DU4c8QVic3VczBl22cTIA62qT1FZ5xlqCRSOvsP1Vib5un1TM2F6NyJNPapMmEEWCXrIeyfSXsmDTJsnKkXfnkk68y5vaVq8UI/ZggiKn4EbXagCDo8b47PH79f6/j0Pw0flhhQ0MwHWqaoaUeQj3tsK+GLttZSRNCrn5FpyuBkycLbU03CgiUIpBF7Tulj5Jd2FntRpT4VP0BGyb7rPQa9GORjltzsYLv69TmU6ndqRzARwJXV/n4hpd0uf6yeX7tzwf85WfmWErq9EKfui9peq4GJ/QgUOTNEF6W9ElXPplLlSIBVCaVUbFSBjojK7Cxo1Kz0OYlRme12aBLgNfWXXy+9Hni6SEf/+yBl+07KjYtLrcOHD5ynAt3bPs/A7i1mnVbb7ng3Om97zx/5gATdQ9jNELqPIFhhEUag7ISW0rnZqydJQSsKeobsuAxPwmIkiQRY9IkA7ct2CTNvskywKVFSYMcYW6dgjwh8JwkCYMhod/n6LmEP/lUnY9+cYbD56Zo1nymKzAVahqhTVPvGbhlCm6ZJ4UqqfYOA3fhNOtDPnK/x4FjVSrpBK68Xaw0cTEf42CdDo8Tj93b4Zuv7/Du22fo1jya6eyRMErjBmXwPJmOraMEcr/0ZblVYdus5Gf+eY8rd5zkjz85zeGzEywlVXq+R10JainQA2ndhZO6TPnql53XzD7E6fMi02lX++QZMWWlE7lvvtpStCXWLmen9UhsJnKguxGsMIg8HntiDy+87tJ33vriF712eaX9FaXKlwV4FGl8X3Lu5CNbBq1ndoZqniAAJTWeMk6aWDAyA67BGIFKSy6tFSWXROSAzoBvy+xtRc4CBStktG1HdGAGbPeYjVJ24HauScbeGt9LXOeOlxCGQwJvSEdHvOODAe/51AZOLU5iVJXpCcV0YJkIDLWUuWt5+l6mdSqpNEm98xzcgcteDuOIAydDulHIVJi6OFnSKXMlsiysLdWkxB7NuseOLREqHNCJGvQDQTV2BUhBKq/8VKJ4mesh1PMEr4q5iR4/8oYeb7rlLO/5VJs/+fAMC/06fa9CxVPUPEFVufr7IO32UVKk2U3S1dCuzeSsIVfGHRZgJJbKwFsiMmPJwT2SGS3dCzvB4lnJ0dMt7n1wz07lVbbc9rLrjuokQXnPD+MvC3BljwHNuYmG/uDC4F5/blrnQJIy+0RlqSGKRyNG3yu9tmMMXjC2wK55JLZkB9oc2CPyRKZVcsqtLJ6n8ZQm8GMqQUTgR7QGEfc/JXnfHU0+/MUZBrpBEATMBILJwFAPLLXQUgsKcFdCSRhKwlSauMRQ6kykAA98l/k8csZy76M1otgnrNtVAWZ2K9LZjgiiWOH7Hrdd3+H9n++y72SdfsWNZhj6liABPzb4kUEp6Xxr6QaS5sN9KM6nNpLESGqhx/rJPv/x23tcum3IX97R4JE9E8z36wxUgO97VDxBVUKYDVjK7FXpGsPzgjVROv8pk48XZ5UZPSOocUcse11masMYc5f+THaTRhBpgRQB7//00/6NN93wweNnVl6w1OrO/70Z/OGDF8i6eujGafGBibmpM0RxFWPU2LIkSrUK8nlBXZYlxd8RpbqSUQYfKfxxPTqOyfOUssnLPbNpWJ7SDuBK53LE82Ja3Zj7nhH82e1N7nhsgqVWA1mt0KgqJn1LMzDUfEstsFQDUtZ2zF0NJZVAUQkElYC0Qs+k4DaEvtPfyhuy/yScalVcYiXVt6OJk6J+xmlPB/LESKLIY31TcNHWPk8fT+jFPsN0xncQ4cCnssm6WaIG5FhnTnbxZDZkrF19+Ftv6/PqG5b5wuMd3vuZJo/sabLYqdGSAd3AI1CCQApCievhlG6XOiWKi1SJtOx3DQZfVb8yzuQlQssAnQ0jKrO2LskWXfr76fWCMYLBsM+7PviJiV/68Vfe+ILLL7udLzM86MsCfH7peHioFfzhww+cqf/cd7UJfE2cBHlb2ChgJSM1xNn7RqTLUvE6vzDKjkn+v9KZG5EmdqRAv5hjaNJH7QbiZ26GjJnvJNzzqMen72vw8XsnON+uIyoV/IZP04MJ33XyVH1S2QHVQKR3mZacpro7EIQZe2cA9xKCIKESRFgbc+djIcfOVJmdFvjSFNNx12C7vPw0lRT9oc/29YLbrunx0S9FdGOffiyo+K5fNUgnSxWrlMr9aoQckSnZ95E3Khjnt1fDIW+9tc8rr1/kY1/s8Kn7atzzVIPzrRp9EdAPPDxf4QnhWgilxBc2lVoWhShJw1H7cOzjpcdSXHT5xZeSYQHoAswa1/icA56SBYl1Q1J1TF20eN1Vj9R3b3vZH6JPXAr0/14Af/q5h5hf6PKxTw35nldartzZZdCP0dpLu9bHgS1HZEp+oq1wy5UtgTv9oFiBXSVMxGhAWQK2ECa1Aw0iBbjnaQIvplKJGQw1+07B0dOKD3xugtsfaXJ+uQ5+Ba/pU1OShm9peIaqb6n6UPEduCu+m0noykxl6S7Sn9sU5CYHeeC79rRDpw1PHwnB99Nl3pZS9GIEBeUgzNVLCxLtxjlfsWPIZVu67D1Vo18R1BJBGFuGitTaMyl7Z25KZkEWWiX32VMr0hiVTh/wGUQ+1eqQ733NkNfftMJnH+3y15+vcfR0hb2nakQrIUnoMfA8pJIunQ946WPG5Ll0oQj+V93Kbgpl9k5BDCNMnQ0jstmHyNsPDVgNJoFhxK5dHV7zwgXay89MKvu937XUtu+ebq51AF8G4MngiIjj7r++6wv/fdbctszB04rLdw4IqxqpJCZWRJFywSSyALgpQJ8DHUmRbh8Hd+mSH2EEW9J8Nk0mue1L3C4PmjB0k1QTrTm7CJ+7y+PQySp3P1Tl1HKVQ6frEIaomkfFU9Q9S90zzkXw3eD8iu/GtTkQZ3eZ3lUKcFLNnYLb14S+Y293YUUcmYc9R2v4ctQezCUKRT147ihkTopJ+xoTn8u297loXY9nDif0Ep9GLBh6ECRuJqAqAVxKgZByhMkLpiyVsZqs/jxtCtY+Qz+gWY347lcNecmVbU4tt7nz4YDDJ0I++1iN04sVdN/HSI84UAgp3UqRduVL0own5LJlLZCPBJqUs9SZ25Jp1DKY03sG7MhAbBBegiRm1+aID98TcHTp4OSPf1/nJ8Igfs9qFH0FgIvu3+Lb5Dsu3XK0vn+b5df+bJK/vqPGLdcNuWxHzKYpzc4LIhQSHcl0TK/K25vKzF7st1No7+JwxgNLW4rYC9bOpYjS+KEm1pbDJwRPH1Z87qEazxwJeO5IlfYwZBiF4Aeopk+oBDUFNc9QLfnAoZfVaWRls64uPExlSRAogkCmF4AttLevXWbRdzq/EsRYE3FuSTK0IZ4nCaTFK9lsYwSeg1zb0X7HKPEReMxNR0g1oBv79DzhnI64KBjzlBnJQEpRimKzYUeIPCbKWsuywUi+Vvn4id4wYMNUxLb1MddeOKQf9fm+Iy2eORrwuQcrPH2kwuHjFeJEQaiwUoGQaFnKBuVJiufRKmLsg2cMTQnU2XOjC/aODR6GnTsiNk/F7N4Rcct1Ay7aonnPJ6p8/KFTLPY/jaf+ji7Kb77ns/zO3yyopHOXeOCJBo8+E3JsweORvZY7HkqY8DXbtkRcsTviVdcPefnVEVjwvYRq3WJN+qGNIIkd2LNA0oE7y8GNngwh3IcX0tWNIAxCWuLI0hs4Rj96UvJXd4T0YsUTz1U4eCJkoRsw1AF4ASgf1VQEUlBVUFOWisKNM1Np4ZFyrB34wiU9yuD2JUEqS8IAwoDUNXEpc98zBH6SZkRjqpWI88uazz3QoNUJmZoQeKnLlBV9iedjNlMKCI1kOFTMzihefdOAzz7S53irTt+XTqZ44CcWP84869Rjl9rZhZRnncj8dxjrlX6HA3qgFdpTJL4b+xDHvrNS/Zh6EPOSKxJeeOmQN75swP4Tkif3+PQjxV9+rsaRsz4ISa/voSOVlW9ivQzgY5ZRBvARYOeZPYS2CGOxOB+xWk/wfYPA8PKrh7zq+iGXXxKxfXPChA+zTSdg18/2ecUNp1nqf1G86kU3qd/71x9OJjZ+21cHcAFYNfOOd3984qoDpza5ipOKxljNfF8z3zEcWdI88Izmg59PmJuKscZyzcURb33FIG1ssMxNGK6+IqJeSVccK/IcmFjjt2bDeVo9wZNPeSy2JdWK5KE9Pp/4YoVBrBjEijNnA4zwiK2PET54HiL08KQkUIKKtFRSYIfKEirrasC91PP1CuYOsr7MHNwq7dEUOXsHviEIsgItnbN3EMQoFXHX44qPfqmBCjxnt43o7+dn8MwL1zpzPBSDgc/rb+7z8fvb/OWdE3STCvVUh/uZDo+zpIzNk21CyBxg7lfJktYvAdw4Jk88x+S+p0g8Dy/RDuhKo5QbpD9VSbj5koSbLomxYsibb+0xiN04t7/9YsjDewKqoWChrXjymYB2T6YqSfC8ojzfecK1Bl59dcTspHa14dry1lcMuPqiGGtgbtIyPWVRSCweRiv6fYk2itma5DXXWmLTuSqYmnoH8CNfFYMvLLaZmW40f/uPP3pJIK1q1CoMrZtPYo0BpcEmGKMZGs25lubcslti9h83fOIuR01WGyamDDdeFdGouprfNdOT5csqdR1WuopHng5otxTSk24mivUcMwkPNxfYA+khpcSXwoFZWkJpCKQDQqAgUMWMPgdyUTQ8eK4RIGs8LoPbMXxaVutnDK5L94TQi7E24tRCQDSsEE5IAlXMXsx85DyLKSjIq2Sd5t3pRhHFPlMNxdbZiEAM6Cch/URQ9dwQzKyGJEtoqfJwJSHz3+V+R5ZsM0X21KQN3yVplCTpPHal0v2PEuJEo2KXS/CURsqELbMmXTEMl24bENk+0jO0WoJHnvZY6UlUrlhGg+oyeWJdXXi9YnnhVTETUwabuJW9qkC58jmMUehYERsX6zk5l81mcQOHIl1V9SC5ZNOutzaTuNX2/NG5hqsBvrBAa2XlN44dPnKrrztsqHl0IuhqST+diWGtBzILBpKUjjSJtbRsuj+MsrRXDGfuqpc+4loAL+u39MsRApNtuUBacypUEeRImVpZGajTtLMk3bg1841Lj17aSa9It94jB7dr61IEKbgDj7zE1DF4yuKeIUizo74fE4YxJxYMf/7ZOngBvhRFgJnLE7GKwcv+cDYk1IHNfXlR7PO2V/f52D19njvXoKt9aonblNZVARYDlITKcgLlYC8rXcykkCwVeGV3k9fCeJ7C125eip8CXckiaebqxtPnwqSDgzSesAirma0ZvunFBoROZSYgsv0zVjtkBRwEGA8dF/FZEkuizJ3LB6hKrFF5MK61Sh2hgHbXsjI8eWtl6tRvWJv82Fdk8C/ceSdKymBl6SzVoKj6EsLNLxkIQWwV2qrUo/RKusoUz9Ozq0d2c7ZrfN6M3QSZ6VQOXoSUeQuaEuALl1YOhasW9KV77UnSmoq0ezwrJPIozUEh3Zmt6KovAC5z2RIGNm9pCwJTGpyT4KfsHXgxUkYcOyuYb1cQnkcoGZEneXq+VCiWn51SoVlZHydaESU+M80h2zf02Xt2SF97DDSEWuBri5+kOjwhd5aKFLoa6VTIXCoHFDtSp++kkcHTBq0kysu2L1dpsZpGKpOuFKawZlOQi+x3Y8asXJsDPXPACggULXAZqKFsHacxWnrXqZ9vSySQaDfYcxh59Ic+reUFzre+EKxFoKsA/tizJxBCsNwa5NVlvgST7sHoCYgtxFa4aaRWFVZQSV+NMPaXkyZCuGU1W8pzCyrzXEnniFt8kYJWFqOXPVl6LyX7ohSUvME2UMKBfQTc0j0GGdCz4DMFd9b945lcovie06dBEJMQ86n7q5ybr+JPKIJyDUfZQWFMkZZT16XCtCzpMxi6Cbave1GX+58a0E4q9DyPamKI0nS6kkVBVFZwJoSh6BzKAs2slCKzDtOZKha0cr/TM4JECTwt013sXC1PkgK9SKaZPMEmpSkl3sxIEi43C0TJI1vbpi5VjGYJoJLjljO4SIv4JEYrkmy1M2nMYbuY4f41//0RgH/xnrtoNmsvfu8H7ry+3UuIEmfOu8mwEEAq9wVByuzJSLrV1RXkNQjPD+v8S8+r1YSrGBNpIsFLL6asui2bJ57PN0yfZ3UTnhT5KIQysPM5KArXj7gWwLOAM9PdXiZLbKq3R2vJAz8m8CPOtgyPHayCF+Cl8sQrFShl2T4xhnCXwS1V3eWlojJfhuPY55pdQ2Ym+7SWa/QSRU2Bn7jPorR197gMcBzI818kxyo1Rdo36aZUGWXQRuAbgVYSrQxaCZIU5OXitawcQmYgz0BdmpAlcKxelDRnXlmRtBtFd3E+KB8nRWJwzQlb2oFeCgh9jQ5jElW/vj5364vvvuu2+2659eVrA3zLui6eF33Ta27qXP3Y3gEr/Qqecj9TeR2IcBs5USpkx5auvtIyXAJ5+cOVzaTsKs+yYgU4bM7g4yWcXmm+uBJFqadrLs46VZwsUXn3SgHsrPnWsXequT1yvZ1Zgo6xC3D7eXVijCDmk18Muf+ZBjL0CKRw87fzCsKija6o+BvPZhZlDSafAajQRtEf+Nx0eZ9vfkmHP/lkg0iHdLWkoi3DhHTlKlf9mVTOmbEL6vmYHIwn837ZDNxaSZQyjtGlTEdLZDvfmRLAS8CWdhWDZxv6ukW6tKKPAT1L/uV4H0sIlitRXa6lyIgrZZhoaM4u9vjc05uvvvG6/jfFSXzfmgz+5J5j2Ebz1R/+zN/+8wcePcrBpRCdSOrC5Awu01SqYjxDlQHbjmYmxag6KQdaZXBnAJAlUEiKmofyaIOMud0WJNlrUgYnb8MaYfG0G8ZXo+B24xTGmDvt2QzS9jbfyxoOktI9JiLmr+9som2IyrOX5QCz6GvMnI0RDc5Yu56RbpSGzoJND4HPW1/e4y8+NWTFxPR1hb4W+Ak5i0uZbS5g04mxMg3wyjdZsiZFCeRuEJMxNgW3QXuuYcXTEq3cTEmlZJo9lnlpcmFRlqs7izLmvCklB7pdjYM1QrJxNqe8+uTvpwCXLiexfXOHF9tHuenquX++c/e33v2D337ws8LfNcbgRqNstOvISbPzQ3d6TNRDmp4dYSGLRZXS6wXA7cgBf1lpItKYQ4zKkxzoY+WZuRYf05zFGOZitodSotDiacXdyLCbFNieEoWTktuBruPeNSbblLmLANMrsXfoRzx2UHLgdAWrfJSUBNLgjddplAT4uIuS3bP+1IyZsqRP5hTs3BRz2YVdvrS/SqwC+omgIsHXFi8RqXxLu3CSVIcji37ZEnAKFhclaVS0iWUzIT1lUnCn7WzKlsCd1QLZtEwgY3Ly1UOUwI3IJmY9j0xZBXCKQHQEawXwM31vcbU8M82Ql1zaoeonO6O+2WU0n13F4KfOrdDqDhkOEuYqPjU/DdRSGVBcecXwnTLQi2tUfLlDH5EmOeDLQC+BW4niAstst0KyCNc9LwpwuyBT5N3iXg5uOQLw8vAf121PDuw8W5kztybwXGLHdQXFWGI+dGeNxcUqIvSc716+CMdrUMrLVokYsmkC5Tru3Js2bm+b2WnJW27r8NjBJkNdoacCqtpp8aycVUlScGdrhUk98SwN7lh8ROem7YXFBVYe2SBRJluRbP7cAVymn9PkbXNZl78QsmiOGGfwsaaVIt1nR05OuYxjpF6JQs5k2t5KA4nC2BCsQA5i4uF5jC6KC3OA/893fxwlFecXVpisOz05oiHXuPrGRzms9WqEvdP/FfJk7LEM6DKLj4wXKxhblhlciRKLZ3JForxRgAdeOgDIz7YOTDOcnsXPU/Emfa5H7p5ynTvPHYMP3tFgKAOUVGn2cvRCHM9grjp3pXM4qsNTLZ4mM0Lt8ZZXDfiz23s8dbhKrHx6UhJok7pHwm0Tk58f69rLRHktNenvGt23qMzk2oCXW4hutLVKSwKUtsWwznwui8gv6GRMj7vvs1wsR4nJM5B/uXW+5K6UiLT4u2lEYwRaSpfuR7G0sJ9O+1yaNi8BfO/BU1yyc1PtP/7CO3a0l89T9UpfEmt/UeO/dA07f/S1GH++Wns/v0QROXDGxyHLEmNnQWY2tcnzsk1eU+2txsCdpe/9rDHZuJkheYtY1tOZpPcY5UccOOXRiQJQXipP7Fh57BrnruyilPSwHffC026cIvHjUfcFl2we8NSBCG1C+iagol3NtpdqcCXc+GGXWMrY0pAFmQWTl6s9HRa8fLCpe08ZNzDVM6QdRBZpigkB2XQtnXX35wZAEVzmgefY952hZVXDxIjLtJoNRsyKEtlmv9taQz+SNKc37bjq5n9VG/b+VS+sbXUAP3T0DOcWWq+ampn7qZX2MwR+lmIu6nzH/2E7dgDl90aXouc7MIrmYVglT/I0tyjY2smW8lDNDOQUNdKqBOr8eZrkUaReuAO3A3AxFMgvy5Mye6u0rzOIWOoY/uffNFjsVxCh7+RJaWuWbJV5vlVvlKWymiOR5sjKDO4clSTxaNY8fvxbO3zhsSaLw4BIevSlJEh7KIuRDymDl+vphSEro7WYFNxmpIQ5a0Tw0ilUWZCegV1JkTK4k0Q6d1HIZUqhw4t2wkKmZIFn4ZeMnJu1yPOrAnjxbwohUbLH1PTkT/VWnr4vifsfg5TBv/Toc1TCkH0Hj4FNCD2/lIn6P7iVAV1+PcZuhQYXBcjluEQZHUyTA1sKpCrGj6kSqD0p8VJJ4uUAzzS3yYNK3zM5uH0vq78YZW9fxQRBxAfu9Hn2UBWkj5SSMCuNLVmb+R7x6Yd83mpCCjbPd6ooyZTEyHSTJ58rdvZ4w0va/NntFYwX0pcBoRR50kdJQVwK6MaZXJSZPGsxHGsnNAqUdauCscKBO5sSVtqCxn0HxSyaYjKt6+MUclSe5M5KidgYAfwYmlfpuedHYfbvumnGEa2l4wih0NptDOEBzE34VCo+M01FPXTZvPEv4++M7Sx+GJE3oqTHxCqgl5f3rN0rZ/OcIb8SwGUB8DzRkwHcujnZqRTxVeGW+KXhQIXmduzte25q1XLL8Ld3NVhohVBJ3RNRCsaeR6KQ1YiUvsMc5OO2XWYZGpfQcG6Kx1RT8S239vj4/QMWuyGR8uhrmdqTInVvRNGMLUfcZUjZO3vL5GxO7jV7mbOi0ucyfS1BK/LzXga5SHfOy6VkKk/c6lzW42IE3EX2OsNGKej8KgG+ymI0AdV+lSBqkCRDB/BnntvP7OzUBfd88eGfWFo4y2Tdc/W9pbLdvwvIc1yvJW3yL3310MwR9h45WWniZATYo7O/yx0ubrg7o+DOdjbImFuVmHsVg2fjJoqRE55ymcsjRwX7j1UwhAjp5c25RfVgOX4QJVejOCHlWpQc5FlSI0/ZF46KMS7YxHrs3h6xc+OAxb1VrA4ci2snU7ySi1OwZ7nQKxXcWRmtQ0SaWCl8ciNFbh2WYxtl3EVj0g0N8oSWLMgoB7cR6SyVTJOXJZvNL/gM8JbCASpflmVY2zUwVh41Yq1A65DTZxZpTF/5ExfseskT504fPOpZYxgOog3C2le3W8vUqwFJaSAiY19I9ptHNNHY0YjiOFdZgtljPiuEUZCPyhNRciZEKdgsAO0YnHQUcNkHL9/TLa1VGdwlkKf71ftpaWjG3ip97XkxSsV86ksNDixUISjkiV+yLkcuWFaPi1jFQDl7lgPOLKM5qsWjyOPC2YjX3dTj4edqYHwS7bS4r9Psrh6VSjlzjlhyKcitHZlVkz+X6XOZrioyu7tzr9MVQ4qU1U22wtqcmIqET/l5ytyl9rYiCSRWYWYVmsfBbkvNzGkOIdGKYWeFHYl5dRQPN2itj3p+mvCoVaSbWmUFUhdz4so1E88L8DVovAgmxRh7rwZ19no8QMsALdYAds7mSpSacEvgTucTFtt2sBrYXjEgKB/x5pkU5ImTJyqmWov40j7Fx+6q0x8EUPPwpMAXo9Jk/PjLn3lNgDOmv8csw7IvHiceEw2PN94y4Pb7ezy0L8DWffo6JBDkF5rKf3+hg0vrag7yckeVCz7TC0w5NtfS6XFTYu0sqDdpcCmNKOlvUQp0R2OogthSwOd4EDnQx/V4GfDjNF7ELtmWMOkWk4mk1VV0BoIohkEk8HSSkMQJxri50SZfKCxGFF5p+cpZC9Djx1PorbX8b7FKnsg1nudSRBSglqq0e4MSaW1KAe4C5FnZrMXzihHKXroJk6dGge7nbO3uSrkAMwgi4khz+wM1njteA99HSJWCKp0bUgouRZnJKV/opfNTZu00cWZNuaAo27ZP5p641h5R5HHptoTXvKjLk0erDJMALX36RhFoxo4l88LH9G0uCkaPBZVdbAaj3HQya8FKgVVpmUaqx/MVVYI0pVmGplg15Hg8MhaXjEvWtTKdzxecZ4/ZdirauoxmnO7JqRNDHMUkcYL30AOfJvAVZ893kNKVvsr0EhMGhB2tLxmvNVkL2MUVKEZer9LcrAHwEqALFi92ICikSckqzBk7A3gxOTWXKClzO8a2OVN7+WPx3E+DS0/FhEHEM8cEn72/Rq8fQN1HiqxykJI9uEYWs/Q5y2cqq0Vx6BKMDpIfS/iUCrCi2KfRiHjNzUM+fs+AJw+H4AUMjCRItbhKm67K0kBocnmAHssgqsLJ8RSFdJGOzbNVJQvyjXVgl6ZItAlTdlNS8jIFsxfnwhYTAMZW8/LKP87e2dMyt5ZzCcX+qeB5Hg8+/BgPPboX0HjP7D+NVDDoGxJdXJl5av15Rjs8H3uvCi5HlqevwOKyBPay5s5B7vR2OZupVFphmFYUunau9LlXng8+Bu707mdTaNMCf08l7u7F+H5MYjWfvK/Kvc9UoeKBdA3NfqmEd6Q0tnwvv1jjNjJTm6yclbwZWdtsrkkB9OHA52VX9Hjdi3s8e6xCkvhYoegLD1+TH5PQBYsXh7A2k5eH2CuVMbdjc/da5LPfCzfLgdyUg8yUwfOhnUKszd6l1+TJILEaPyXQ2y9z/rK589h0BIhcArEEgLfSDhBCYnSEkokrYrFpoZC0a1Z8rcJ4+WrLDrR8sCUQQzFtNWPswkERI2DPgT0iVcpp+tJdjYFble5esQlqBmi/BOrMOXGOiXtUKibwY544KvngnQ0gAOkjhMq7iFS6kWo561p2hLKvKbdHy9F4qTCtYO6SBrcCo13rnptCW/QiWuvx1pf3+dwDAx455CYJxEbR0yIt+EpBp22+/JdIssSHbvVAMQL07KcqBb2R6X4+WVCcae+0wlSmUMm/Q1Ma2ClLF/8Ym48De0TS5s+fH32FBi8CdmMsk7WASuhhjMW7cleApwStDpw8GzOMLSIVOhKBFasJSIw9GT+wMpjLTCYoTVkd092FVBFpsqCwnjKA53PyyiDPCsLyzabczg7FAPwC3COsXXrMGmszqaJUgu8nxDrh7oeqPH2wCr4P0gWXgbClybHlwGp0E6dR8h6Fli09yRsgSjUiI9WFWmJU6qhoj2Hkc/nOAS+70bF4XzsWH4qAgQFPiyLw05ldmPrLunSRjRXOlfWtkmCVRVqBsi4Vbq1wK7oAaUUhVUpBZcHe6fdqyhe+HSG71bFZSYeLgh7GSXQVi5fYvDcQnFt2LpQQ4KGSFDnaDSgvjfQciYDHXcqS9MhZqsTY2WnLQEv+pYuS8T/qmIzuETNWfyLI997Jdy/Omm9HGh6KrUuUGgN3aSh+7p4ojfJKAE8lSuDFHDgjeO/tDYaxDzU/lSfkrWmqvEuwKF3II98cqxlijMEZkynlzQGMXUuLe9RDyfe8pscn762z75S7+LRR9LRyVYY6Tf4gnAzQ6ViOsZXEZkAvAVzaQovLVKNLY7HSfUdWCgdwU4qVMiY3hSO2OoG3Vv4jw0nZVRnFUVmTj4K/XIGVXmQSpBxgUzx6UzveuP65vXt/9rHHvsRcLdW0I0vJ2BICiLS2YfUBjOrswtAvXa0lYMsRkI9uZVeuzBsvspKl2g+Vs3cJ2DILLkfBnc32K/R2+lyaQnunwWVkEz5yZ50nDlRdu4/wUMJlLr20BrvcXFyWKYhRcnje24gGL6zCYgyeccAeAbnEGI9o4HPNRX2+9eVdfu99AX3jgfGIhaRvXIwgTUomupCFjDkrmYOSBbxYm7K3W1WUBZt639YW4M/ALW1KRnZ0FcskyyjAn0ePj5NjCcBrJQwLOVNYoq4h3VKdtFy+q8XVV1/3s5u27P5h7/zpY5PDdue1y0tDKiKgVkl7/tRa2rj8y0aXGNY40JGDSJ8XCYCyezJWg1IGzkgduB3R3jnQS5JElbS3ynd6KG1EpeyYJMkqBXUObt+L2X9a8v4v1HDzVxx755372e8XjIwXlqXPXQ40RflFKUM8EuCZcm1IMVfQBZ4psNOmW61SLa49vv22Hh+9u8aekz7ICCskA+3jkdaLZOdap2yns8RPxtwl6WTda4vzqrNjk+lFKC1I62RLBmJp3e+wJvXHTRqgjqzOo2BnFcDXiNcyXTCmCsqD+N0eQgVOfM9Qr2gqnqXdTl6bHD836b34iiX2hG0efdSSpHuJW0+UsogFyEcTF88D5hHQlxm91MJVliVlHStHn4+wuLCl4LL0PGdsm7O4GgO3m8hq0kdnByplUJnfrRKUTFApg2uV8In76uw5UGhvKaTzvvMOmudhKMZfl6VdTtyl56MNyCOeeGkilWeEq02RRQo/ij0u3TXk9S/ucuj9IZFWIDy08OgLgadT+44s0M0cFVE6CluEwKleslagbMroOGmSs3l2F7ZI8Qsw0gHfZDKl5IOXwV4GdBGPrQFynu9996YU1i1GqUmhcN+Jryz9CL74rKVvLN7nn6py6lSP3lAwWXf/SM5KShSZMVlyPkrgHV0+yqAvs/74B1ydCBgJVEYAXrB29jpj7QzsGXPnQFdlJi90t8qCSFmSJrIYmq+UxvdjDp9R/K+PNBlIn2yCVtE1n64g5RrosiRZ5XM9jzrJEix5mtyStbAVKfuyBhcj9SnaeCTaJ9QJP/amLn9zd41Dpz1QcSpVfPpCoDJ5kurxPNgcA3nmzVvAyy649D2ZyRYy1s48cTPC5iYFnpECYYvVY7WZkAK/zNil07aatceYXoDN8efOv0nt1cQImqHmxgt7BNU2XpAIqggmaqRTnYoexrKLMRokiFUHMALiEpuvCi5GouzR52VgizHWzhIpo+A2hUSRowzujfjbmc4u6+/SXToW972IdmT4k483OXU+BOWl1qBM5Ykd8b3z52Nf1KpV68sBvSxV8saDco9mlsKX+T1vhpAKnXhsnhvyQ2/o8GvvDWjFbuqRtZKhUc421NlxWNCCwjYsQF783/1EpVehtaTM7Vg9Y3NrXf1JzuBpgtCmMl+I9LlwwF8z4FyDqUfA/nz6O/23pSSPG0AgpcSLoNUJmY5rqEodr1mDQR2m6pJaRTqAezKvO8gSLuNsPHoAIr+yiqtMjCxFwJgnOgZuWZYoZda2pWCz1DYlyoAuMblnUkY3uTRxcsSskipKJfmjp2K8MObDnwx554eaDI3v5IlQuTzJm4rHLLER3Z2vZGVYrw3xcn1PYRWWQZ+l7C3GmDy7WZ7TlxiPipfwI2/usv9YwHs+4bQ4KLSQDIzr3ZSanMGLAqzsyypS92W70oG7kCzWpmwuCt/ZkY519uFI4sfJmOx3ZYA2uRoY1+PjEvgrSBVRZFOL/VbBGskwCpjsuDIGrxIIqhVJs66oVVRa31EkVkaXlZKeXPXLxchBjXzxaRny87amleTHKJPbUpCZbtFd3jJQFcVOSpmSVMlAXGJyWVQHjj4mqe8ds7QMf/OFGsvDDNwO4L502tsTo/Jk5FizWKWE5xzWJXyXtXYuVdIfjFT1ZbvTlbZiHKkTlxJlFMZ4JNpjItC86RU9PnpfjcWOAhmDUcQ4PZ53+4hCi49egGszucsDFUmhrD4lCzZtyuI5oDMdbhljbPf7ESLtdUilTLbSjXTnlBRCaQUcx5bG/d4k/V6StB5FoOj2JV4o8aoVj3pVMVH3CEJvJMuY6eqyXZNr7TVB/vy66fkso+cFthiVJiPsLVdLkuK9Mrj1CGsXzJ2xdsHefi3hk3dVeOjpKqakvV1TQyZPRutN8tasEnuPWISln61N4il7lqzC8jbY5WaI8nQnbSXKFr54on08k/DCKyK++YYef/6pAFQEQmKFYGg8lBBuchjlDKKlOLSSJi/54Crrkch0eFY7I0uFYtLNeCl/f9Y6DNlSS6LJYoGMrW32MzsmaVdLE8ZYPj+D4xiTboZ+py/wK+BN1CU6Ukw1FVLJ0VEQtvxFlAE+toSMLyPPI0NyFs8ATUmWyAIw461QZWAXLkr6Wlm8dMSYlKljIm2qqzNw68IxkabYjU069yT0Yw4dl7z3kw3OdgK337V0g96VoNixYSxeWKW7y67RGqdu/DaS6Ckx+6qtFrPd6ka67t3+Oe7RbX+yvq753m/uct/TIYfOSRAxoDBIBkKWNpFKQVUmr/wqLGRS/v88m5l+D2U2F+55BuZMtmQrs/tZNvs9kylFdrWQdBmDlwPh0Xhu9IIszm+xGjqpFUealY5GBQavFlriqmWq6f56NhujmNlRLKUjxMMaV9I4kFcx+Nhwn7Lmzq9AW2jvjLlVBvgxkOczssef61x75wkdWdLdUuOltmAQxAy14Y8+0OTex6qut016TntL6bp2RDF/JT/WbGUZX63GmLx8ysrna3UGs3Atij3ey+Wz5TJa125mMkdFGxLpoRKPl10b8cNvbfOLfxQwTKRrRDWSJHVVpBGlY3MgHxnhYF1LGqXjc69FKTZIu+vTJJALMEV+AdiUrZ2zUmp6sONYWIO1S51IqzOWIl9o8iNOZ42btGFaG8tgENPra2pDg1epGJLIMFnXbthMIoiTbNJR0XGyquiqzORrMTclQMPzuCdlabIGe5f2n5dryRNp825vt222KUmU0tjfTG+nM67z4FIm+EHCnY/4fPTeGsPIh6qXa++cveXqoT6rSmJLsqQM6LJ1Ok7f5cKmfHLTCLjBqqzKcLRWXBuJNE6qZEBPEo9qLeFNL+tzx719PveIcrYhEoQkFh79jHzSo8wCwJytZamUt7TKWEp1KSkzW+mG1QtRvM6kSQb07Pu1oqhslOnyXZ5mlmNoHPAjmLMj5y7bzMrNdbEkiRud0e0bekPDIDJ4jWqCSGKmmjGDWNEfugHzSWJdOaQpItS1bqv8S1E68OxgS1Fz1ohaZuxVQWVahaZGgJ4GmdlcPFHS3vkk1ALYnhoDuirA7aXgDvyYla7lk/fV2Hem4qSJcCWxItPegtIEKbsK3LlkyS/sMqC/jD4pCCi3ukbKZ8tSZSzxM14vLqVCGo00HvHQ4+INMd/8ki4P7QloRWn61Tg97rYNc8zp9scbb2krjt2N6itdkNJJAJW2tBVsnkmVNOEjyKe/OqCXynZFnj/KMZLt1ly4dONTsFbfTIkMMnBHsWUQWVa6hk7PUh+Al5gOyusyPdFnpeOnheNZFisNClJGWatysWy2l6++8eBSUMr+kckTu0aQOTpzowB35oMXwaXMB7NnILdj4E53Jig9ZuD2vQSD5n9/qso7P9LACs/53iPsTaG9R6zB1UBHjH9JXwbjJQYaYckR/Z0x+epWNpOl7Y1xo4Sl88WVNMTaRyrDj7yxx8HTPu/8qEecFCA3CIZCokw2SCIFd7m1LQd1qjNwi0ARkqUp/YzNSTObwv2bNl2dbQ50mzfRODa3+coH5Bqe3FIsnbo1I/Ti3FjjMvCxtkSJpR9ZFrswFBr8GO9Dd3pMVSWXr3fNABmAsp48THoKhB357GsGl2NX40jdQA4IO6K9Rx5zKWBzZi9m4rn3xx0TmYFbjcmTsT3rVbr3jNPgMX4Qc/Cs5KN31+l2faiq1eyd13yXYgJRJHhG5NjY8wzkX4nDRzbEKIOd1bOxbdp0kANdZkCXGOm0uJQecaxp1BPeeEuP279Y5eCZNKngwnq0EPRTL0wIECYFty3AbnNQp24JafInX3AyJyVL3Tv2djPeRUmejALdjgTjtkgIpb93tVwZX1my+CVj76xuJ2Vy7Yap3vqCPtdd3sH7ppsmiQZDuosVp/koLR/p1NI1A00oSZKSpbMWqLGjvYojDGjHrEGbjwNTJRbPJpoq5QY/FoPZS/q7pLtlSZZImTomKZN7XsIwNtzxYJ0vPJ5WC0rfAXyMvbMiLyXEaDBMdvyj6efsZIivhOyxL2xs55dSt4qz4TKZYtOtSJzuNoVMMRItJEpLjFDEQ49XXB3xihf2OfFpn6GRqa0h3faOeAwEruKQNIQUIrdBsrJpldNZ5qikteKCHPgIUZC9dd+pyzSOAz39XbKMkVGwr+7ssSMr5MgCk8mUEh6lsPhC8tzhWXrJerzLL9240l9ZuP20iv/ZkVMhcezqHjIwl1nICsZ+eQbw55MoNq/4KrsohRNR6O4C9CXGzoGdAb3YZaDsnEi5Wm87m1CXnidI6Tp1ZJBwzyMBv/6nE2jrFc6JVAgh3T5AokjLjzJ42fFZm72/iiRmiYrKDspoyr4sVwxFa5Y1AiMKRyXX5NJ548J4JIkhCDQ//f1t9p30uOdhiQlECln3AWKj6EOW1UjRkzK5EsVchgxquReerrbZ8aarbabDRXoBGIpRErZMflkgWsJExtZr6e/xBGN++lKQClFseACWlaHP8rB2+6UTW1bU5ZfJ7qFjJw6dnPd+eGk5INZeeTjnKBuXCqRG/WtGspEjddyZl51PRioFi6rQ1EVlYNkCLCVySgFlXlAlS6l3OSZNRmzCLKHjei1PLgl+/b0T3Pd43TXxSdeOhvTxpKAqIZSkm1yNNhevvqcN0PmQnNFhRCpt95JqrGG6dO6K16J00Y+WBJSD8Ey+FS1hJalX/pmF2ZmE0LM89FTASr+0jKZhZjZFoag4TAFly8D/aq7W0oVQYti8az9PZI2vXKM9v0Vsslo5jOQMSn8H4c594AvqVckF2wRGn/reQ4ee3Od97K5ptBVUfcO2Ocu6abdfjVKjNk5++COuyRhzM778jF6luR9amsBU6O/ythij0kSOa+6MxcvAlqttQRdYpqWw6XMdaN778Qk+dlcdW1EglEOn8BBSjvRbFv2NX6ZjPl+xSnpt9Xe+ygO3Y6/LgABGAs3R+YVpkJnOD7Qpc1trihoVIZFGoYWH7GvedGuf5w77/Ma7PKIwKWlLgTU+Q9KSjGw7PV3KVKYaPPscljS7mbJ7Rvg2ky3Z7G6RBZSFc5JtVWNt+dy5hoxRQyLV45QONVcU2cVXnNeMHAJPMjOpeMElktlpQRxbvK3rgvTaddvklQOd0V+a/bLRJWRUP61+bwTgawFbFJq7SM3bEamicqlinJtS2jOmuOsS0Mvg1si85kTzuYdD/vTTdQY6nYIvMmswzVoKO6K910zNl4H+POdplVR5HvazaXCXec+rMprYVSW0VpYym7LkrAjlCrNkWpwlDdp4hL7h+1/X5YEnAz73uLMLM28cKTDWY2hcYV2+Z+SIdehAhSyV0QpXg23FGMizpodMcwsKoKcKSEiQ1qFUilLZR1naZq/TpuACc6unYZXPfxTD6YWAdt9zc84v2ub2OdfaohNyO07YUdDK8nTQtQ5kLaDzlYCdsXqxkZEcWaKz5oIx5s4f12DxMntLXQSYXkxvCL/67gkOnwqxXrFb8oj2ziTSCLDHAM0aYM4hLEbx/GUE+fgGAqMZzXLxVVmPr65NMTKtOJRlFlcIbRDCQ0aGCzfH/NwPtHjgP4V0BumHMTI/Lo3HIJUGroUn0+DphScBk4LakjssKg0orSTfJjUDcWYHPi/QS4w/kiyza2AsRXnWaZTVt2fmj7UQJ4bltmGYKALfYq3Fu+6KKkpJut0uJ05FtLvhKvaWawC58LQLmSIzhh9j7tG/X5ojXZIjQqwlUUzJBy9tYydsCdSZU1LyvbPdeVPP2/NiEg1/8OEGj++tOM9bZsxdOCe+GJUlao3PnoN97ByRf/Zi6OZafL2Kyceck6IBgqKYybrcxKpqQ+EYPA86jXQg1xIj0rtOpYoxXLM75se/rcX/+MAkkU5ZHPKoUKMYmkyLp0UlJZDnEkWUKlVEmvQxJTaXIEzmhzvmF7aQLblkySSGLAi1qEcpwJ5jCTcIOjuDJs2uWtzFlWBZaifU9CTNZhOtNd7mXa+lUq1z+OAzzD9zB55XGelSkWOALWqgy1p7PHNp813SysAedVBGAS3GZEnxfHR/xoK9daHLy0mdkXsaWFY0n38w5D0fbtDq+84DTD1vhEIIkTonRdayXDCkRo57tf4urNLRKVbF/mqrBbcdfTmK9xGg25KzUmbtbLtrm+vxQqo4G1FLhbTG1askimbF8INv7vHosyF3fElBLSEvHEkZKjGSQS4ACpBbXGksuW3pPO9MvVgh8kynNQWIM/ni3DT381EXBey4Bk8D5Cz5Y+14PFdMO7fWppLLNUY36/At33wDL7jqCrqdLl4/qiP8OivdGgsrAXPT5A0KI80IYyMScn+7vHRnFwbPw9glYBcXT/HvqhzYxV6Mme89CnY96ndLZwXKfF91F1hKmSC9hL1HPf7XB5scXAzcCCxR0t5pxaCfzjrJnY1xaTIuT0akyVpN2ax9y2TtWC1KweJFYiV3HlgrjT82JCgrxLIm31RWZFJFWCdVYsvO6YQfe0uHo2c9DpwSWK8ssARIH52CnDGQZ9GeyqWXLQE8PdbSKk4J5CP6WxSMXmjtcZBn79lci5c9daTI5QqpZFJKMFNRrJsImGmEhCLBc3OxLZXAUAmytOVoSjqfO122oMbYeySYZA3mLv9dYRnX4OVNjLJdu5QoAV0WyRy3Z+N4MqcAulIaKROCMOFsS/Cr72ry0TtrWF8V6fgvw95F3ffqlHwZ3GsldcqMXujwUcCPsPZahWxr1qSUdXgG6HIAmnX+OAaXInueBp/CkGiDL52r0hpKfup3FOdWBIRluhVYvJzJyyB3MiS94KTz411QmXb5ZEAX5axlIVVy6ZLJEjKmFmNyZJRgR1ndCXFrLFldgMwysAgGUUyURGijSUyCnF/RrPQ4e3ox+WwsJlwjaWnHgqzOeqRNrOxVq9E/I8s/H2tIGJUZaUZSln+eAjkDcOaYlAJJOW4HpplKmbom7rmrNYkwfOL+Kp9/uJbWmqgc2KPsXewaXJ43WF5GV5XFlrQ4pZ+NM3cO/rWK1ca835E5he7rLwK3UhtZ5qCU9bjOtrkuTcRyWU9VbIFtXcWhsJJX3TDg9S/qEQgNSQImu8dgE6y1JBYGBoZGEBuIjduyPcmH9JMPviyXWefvlRo2tC2l1C1ond7TYiltbLqVInkVa/l3ZH/PZXHTCkLtmhvyn2vDRRdOsm1j/Nn1G5Kzm9cPUX/yR+/g9a+5daVR9Vcqvv6uQfc81YoqTWfNgDradCDHH/PAsKjXlmv82dWJnRK4R5I7WeNCKktK4C4zd7kj3kvB7XkJWho+fm+V//rOCY6cCdMmhiKh42pOBKGEinSD7LN9QT1ZTjqVhwtl9mExmD+fcitASkm+rYoYHdLvJnXJ0cRN5tStSoyVAtpyDXppiS6mD7j6aZnlH1ZNK1ijkMlYppuaS3fFnDivOHDczYXPtSnF1WqFcN3veXxRWp7WSJBkBkVxPaf/zlqxBsUFvXp5E6MksGbsMvrvGhOzZesuPH/dv3/22VMPXvmC29wePZvXdfA9H5X0iLsapdQIEPN9yPMiKTMmUWz+md3JNWPyxY4+XyuwFGYsTZ++VmZEohQBZom504AyswR9X3NkQfKev6mz72AIDZW7JXliR8pcmuR9lpRAkwGozNxl4MjsO8382NGAUqzJ5IWLslayx7G2GUv4FC6KzNh9LH0vBRjjdh3OvHGRMXtaTyCExQiFsM4bj4eW3RcmfP8bOzz8dMDReVl8YJPpcSdDEikYZPFAFnCmBVl5cGnc8P3MUckswewus59RBJBl67UcSGb1LKN5BpEnhIzMDrOodLXWMhhqjp4ZoKp9oijdowdgx4W7CMMK1mpOnzyRMmNpB9s0AqbECGWAZ+873bRaf6/ay7xsC5Y8cLc9dAF0p8Gz16vBXQSaGiUy9tYsdQS/9xdN7n6iWlQJ5sAupEkgGRuDXHw2VQbzyOcdDSZXWYWrVcpXvJW760eqCm1ZvmR2mAOXSWcDWlECfynTKYV1rWHGpuB2elwI5S4jYdA9w63XDPnJt7X5lXdLlrMNgmVKwYZUeyuSctow60tLrcEs+BxxVETqnZc+mtBpYJkmeqwYXW2yQDSz4stZzBEStemqIkkHgFpcLZnHtm3buPzKK+j3+wXA682NqPCCO06fffDXlVf5qUD18LxsSRtN16+992HZTRndI1Fiix7MMpPLEujLjC1HXZNMp+cOiTA5azvZkj13GnwgLH/0kQbv+nCDTp6tHNXdQrgxw5lzMlJURcEq49nLEaYuB5OlrzGb2/jVIn28u77soox3Uo3Xi2fjEmRp5Jso2YjCSHd+U93q2FwhhEEbBdrS8GN++M0dzi0qfv8vmvRHHBWRgtxijUci05hAiCKgTNk7K53NA878z9qRKbzuz1DUjpcYPScMstQ+uRLKn6fMLYQLWLPvQWKZnqwy6Cz++stv2n3HswfOuGsVwKvs4O5P/UovEOePrJvW1KsxYZCkOwBn06JM3tA72mAw1kI2EmymjQqr3i90dZFeL1h6NJAsaW5RMLfMkzypHSgT8AzPHfL5qztqtON0g0xKtqBUDuCk0iS/20LXyuILKZ/wkeelR8b+LKUvosD3l0d60a42ZhlmgaYt9rIsLoJSU3LeuylHX+ejJrL3FDZtbzNWOWaOFQ3P8p2v6nLpRUOkTsCmd5M9arDaNRdYGFqIDMRWkBhBYnF75BjQ1r0uB6BJFliWgtByMFoecKRLf1bbNQLN9J5oiDVEiUvPdweWzlBx8PjikR/6yV/pXXHxpoLBAa66/ptQXpVzx+/i7PGH0LaSn5i81ib/AsdLGkdZvazNy9bgqAYvmHo0yWNWM7jK3itlKVP9neluz9c8ddjnx39tiqcPhFhfFrIkZ3BZsgVtPshnfKeGtazBtWTKSGJHUHpVUPtXJVfGK+zKIF9lFzonIWPBMpvLNKMphQO7sCCsxVjpWNy6CVnCOG9cY913GVmu2hXzjp9a4Yf/m+Dpg2lwIrODEcVykjI5kLO5n1KlxZbmsdlcbhQWY25ZpwmfUvpeiKI8pFQOU7Lbi3MqinOWuTSdnub6Gy7mLW94GZ3ugHf9z58fBXgQzqD8OkFQoRLExMYnSdzVn514IVZ/YSM72ObPS2CmBPYSmMuZTCHGZElJd+fBpVgNbiWSFNyGjpX84UfqPLEnRKuxZE5abwIST4w1M5RdCTnqVhQ79pYCnTI7j4Cd0nkon6Avg+sxYJcRbst9miPvl5ndrpIsMmXvbC67TX1xLdw/YIRMZWSqx41FY/CE5ZpLh/zLN3b56f/h00kE+GQDB3M97lDlkeRBo/szFjuSzVRkXfgWZdy5s8KWgs7CbSmSPGJsVgp5FWGpWoASvjHpPMLeEKrVKls2ztLq9PLzmgNcyAApKweFCg95QWWnHiZI6Y99WXY1wMtMPgboTBuNuiamxOTmyzB3BnZdSuyk4BYpuJXG8zU9A+/5aJ0Pfr7OMAOzLLO38+NkSky+sLlzsmqfnTJrjzN2SQuOJnNEcQ5Wn5mvlrxLTgopNEZ1eCqHRxg91+Ap4B24M8Z2boowEilN6oW7HTyElS4AJWVzbQmE5S2v6LHnmMd7PtKgG+NOmElpN3tMoaONIJIZ0ESq1VP2zhoiKMYxUwL9aPqdrJSniPXGqghHz2ohKayFKDZMTDeYmqodqlXDg8Mozv981mbHf3v7b3PLbS85tNBurFtY6Nxikxa+p0bKV/NU+hqAKMY+rG5BUyMSZFSjO41t1wC3Hk36rGENel5CN4Z3/22d//auCc4tBaXuHH+0oEo69g7T/ts8wJRZir7wvQsffyxtL0f3ghzfYiXbfqXYV6hg0mIj29U7V4wUcpUaSHJPW45PaV2jiI3S38sD/PE4obB0R5wubFpeZZlsaq67LKLdEzx7yCNKyg5Dmc0gpa+8lCVD5OoKnNUwtaNQXdvvXrM8oRRop4fiK82tN27kdbde+AenTx/+k2uvvn41gwP0BpMIVf1UFNffEHi1qwUDPOkYmLxiWYyurSV2B1GcsNIXkTN3WoQly3ZgKR1fsHj5Psrg5f5KWbF87FM13v6uJmeXfTfkRo7rbkU5Y5mzdwm845732t538bWt5aC4t9agnL/DrZzRzN7IpAowpsVLQzKNTadKCbeNtigCU2ELT1yIlLUFuX0oSKWKtQijiIeWjVOan/3BNottyV9+sgGVjMHFGkyuMEYSCfL0faa/s6aJoq+zYG+Zltu6ehJb8r9LsmSN8zNyvgUgLVN1n3rgPbFlbuJTK+3+yN+R5Rdv+pZb2BR87L4LNqw8MjcdUwljfD8ZmTHilZyNkbsYs/pGqgKLstfcFcmBPOqeyLF/W42AOykqBUPDwZMef/7JOmfOBwW4xdhdSoQgtQUdoL20YGh8NSpAbstm2YgsKQIdMWphlYnqqwC5/Uo/L3nfpsxi5QuBkiY3a7kqxcAgl7Yvp/OLKbXZpFptPZfOjyQbZzVv+6YeO7dGEOmSs1J6bnV6N5jUWclS+1HqrOi0jCB3WdI5O2WXxBWHlXa2sKN3nbs0zrWJ03ukBb2hYKnn8czhwSP/9r/eft8VV982ch698RM7OTOLEJLF+ZNMVroYXXFMwNgJtVnPXDabLuX3fCksOym2VEVYZu2U1UcuEGf/iZGLoAzuBBUYDp32+IV3THLnoxWoyALcsmwJKkg972wMhFdKZY87JyNSoeyelAcXlTUj5JWE2bI9cmGM/3mxtkuSXRVZE+14CruwBrO/Y0v62+b+t3yeoiyBqwsRRqZJIuk8ZGwaaGYXrUXgIQA9SLjtugG//OMtfv4dExw+E7igk5TBsw87ksyRJNmLdESclS7j6pVCw4y5pSmSQ+We0BEaGL/IS+RgLfQTw+wWyQUXb8WY1bSxCuC68QaUVNETD/e4bMOzzE6Cr7L9M0eHz+S1viL/GkYBnsuQwi1xJ1fF0AAALkxJREFUzRJrgbvQ3KKUoZRCj4LcNxw97/Ff/tcEH7yjRiQyv9tbzd7jgaVYu5FhVUNHWbeWwJkDuOyUlN//cpRc/uHY95ABXrBa/WWTr/KSWdLXpTpxMtCXMpsilStCpBlPnIWYJX+y2eO5VLEWY1QOeoyl4hne+soe2sDP/8EEx86H4OsC5Lm78jwgz/9c6SLOPofMToodWfjKFiAU3n9egGWL+nBPWDZMGL7nNet44xtfFWmd8Ns/+xUAbuQGvFr9P125+4rLkuVzt0rOUg1jwKKNJNGKJD1ik82RSEss1mTuVfagQeUOSjnALMAtR8CtU7vQpeGPzfv89O9P8OHP1YiyfQVHMpVlzzuVJpLRMliep2owY7HSa8bBngdRa8iT8pXwd7yNM1NuA8JqSVJaOTN2E6VptHbsuRnR4SnI08DSZLo8JyiVMrQbh+YrzXe+uo+n4Gd+f5Jj8wF5p0Nm62SP+WcRxOmc8EQKAuMIxgpXr6KEy36SzjLMO8HKp7H0uTVOpsRaMEjlicTS9CwbpppMT1x219zU9v8EK6vOqxx/48pdDYLW7e0t6/19c9ORbtTb1GstGrUOlXCIpzRS2jwSyBntqwC3LIN7XH+XmFuVmFul4Jae4fSS4mf/YIIP35GBe1RrIySFLShy9lasPeOkCIDT1bYkX8oAXkuPjwSY+Qs78mf+LugeDzDH61Py57g6jLLezuSOYcxlGJtruGrOYblL30qyibV5ttMoEi3xNLzllX3+64+32DgduzrVTINnmtzoNPOpc29TW9Iy2zTraXFZzlIZbXbMI3HGKnnmyHRoBK0Y2sOYXjRkYahZjjzdT6r7/vKvP9sWYmrVqfXWOt9CwNLK0o9/8Rl548oK1ygleMHOmBsvsUSxn1XUrPo7fAVwyzK4My0uys6JzpM6Ms9UOsck8QR/8vEGH/xMjUjJtHGhzNoeI543rJmxlGvcR+poWENvi2Kcb56GX0PC5ApSiL8rvkezmauSOuW2NTuS1s++/EzejGQ7s5+NMXmhxUEYN3Itky7COmBiLcKNtkVo8NC89TU99h3x+PX3NJ0MyUzmXIaU2dxzJG8FEaSMXdYfoijWKskVaQtyGF8Uh0Zg9YCXXfb/a+/L4+0o6ny/VdXdZ73n7ktulpvc3OwLCYEAsim7ig7vTQYeTx2dJ46MuI/MjAuKvnmKOo67+HwflxH1DQqyCSqIKEGCBAURCISEJBey3uTu92zdXTV/VFV3VZ9zbi4QCDBTn8+9p7u6Tp8+fb7162/91iGs6q+AUhezulN/rvqj7/LcWnA3BHjf4vPw3k/9KPSD48UNPwdKlRBrlo7jy5eNoCXLEIQMIZcl5Gr4qdqwI3cagDuiKZJ/E6USjCyYRDpUwSG4494Mrr0jiwptoC3Rf1DUhMKoq9NYemu1oFVvhyRAjsQNj/YNUR9974SwmAm4jYFJwV0TCBGBXk+C2lQTnMtFvwS0dqklMe8WHES5xErrIVVgV2skADzORChL0HABL+S46OwiHnjcwe2bMgY4YXNttXjUvj9cEPiQk6kG5NrZCrHcrFmoAyBUwIHAnI4qLr8wxLpFKYTcQXNXvyDkYJiddeHMAQ4A733zq1Eslq+dOrBj8b79Q7nWXCue3usBXQJBqH2gFYDVCkn3xa6wsY67Lrg1vyahcZxL5ykSgLkhiEPws3sy+IevNmPLjpQKGJ4G4ISo/CZ22uNI3414YWmngxAWoGucrKLFZ6wetByt6oD6sOBOmDGTTv1xBTGDk9fzT+F6qC3pzddYksMAuvIf1/ogIvvA5eTn6lVrWRgJsLLfx7++fxyXU+C232WkFK+R5AbQqRzA0UCSax8UINbEIRYwVKHfYwTdlGNOWxpDB2djc5WhpbVjasWc113ruGkA76p7jxkatK98+Qs46+yz/9jX2/z26tSe5kVzUmjKeHI2C6IimREZN+KUx6bhBqjxL2kEbkOSMxKAOiGoS3Dzxgw+/PUCHtuZluCmOgtsgpooaUGppCa67EgUikYV4A1rZWyRtKNp7GibpOUxTn0Q14G0S5ObZRfNvmjbXNwmLJrWNRkTS/fFlElE77eePNqSCXsSIpqoomaC6iduNCnN9yvrS+SPzYGuthDHLAnw9H6GrTuY/ehuOLOJ4YaAyHAWLe6RuAdR2KM0cXgOUEgLtGQYSpUUpkoOZvcdu298bPwt/YuO9dGgNZTgAHDsmuUoFidQnXgEhfQEcpkQYUhRBeCAywB1xqNJqzlsjccgMfTcVLq9khpwq8Wl4txwJLg/8vUCHn3KBHcjikJBNLgtamJwbxpLhZpA4jrSukYq1wGGPljzmz4LHl6jGjQ0JNG+4uFRsvxonCnNY524rESclOYxReGcKC2K0rAIKiV3fPnKM1DqyUNhyEIfWDnfx6cvG4cQwK33ZA1xqXi4SV+iJiW5r4ZRogIboIKUDeaiga4B7qr434mywPZnqghEE1o6B9BSKEx7b+l0B1taZ1Wacrh01fLmqUz2EAQtIwgJqj5DEMRZaIUgxoXZKkE7BI03ALfp1y059233ZvDhrxXw6FMpG9xG4EJSJcgUsLWlUqsC6+q6gRpKYi0gE2CPQB69GoEPxgywdw8P8boJJo1jZvgaLGclUktXQJSO3PyLqydznti3UsJRw9ppJtnXGhYWaVY4ZwirFKvm+/jse8bx2pOLSouiLZumhiX5Jyehz4Gq6Suu5oX+vpoyMipjgz1HPo05CTHml+HkuqbKVVw6Z3ZPZbr7O60EL5cP8O7uuZv3HDpt/Mrvb8ktnZfGOWs8FHI+KJF5uXXEfrRoS0pug1vHFkoN7ljHTVVUjmAUv7gvjcu/XMCWnSnAq+9bYmlNlNNTXEve0HvD4Nuold52clBDchuAjSdAbdEkC/BJMq4PJvoszFoHlHQWtlSvWWwKW0ceTQYe03YdxxnzbhGBnABG3CaFzlTGVVoqafSJ/f84BKCyT4U8ztmCKrB8vo/Pv3ccQhDcsSmNEECUKByi9vEEQEvyipLeRAhV/0elwVCelFoIOQzwXKApy3D6cVWsWTqOuUtPGk/n5m0+NDLEMU2bVoKzVDe8dOvB4VGy4S/PPNlvcSmmSlT6ieubqxZoVoxlZKUUdcEdxVZGSXpkn2AUv34ghQ9+sYAtu7wG4E6qBCW4HVI/vtJ0qDINOKb0rptI0wRyDfATCK5HZ55lMyDR8GBNZLmp89YcN5G/MDbxk5o/btAWU5JLqW0mE2IJSU4RaoleoVje5+OLHxjDq48vg/FQZe3X+vHA0I/bklxwwBdSRx5JcfWqv4f+fVxGkE1THBrJgabO81MO2dDe1nKwq6tz2vs6LcC7WtMYHHwax6/u333WKcufWtrfjLQXqGxTBp+lyaj3OG+JCW7b7B7/EcYhHII77k/hPZ9vxtadKRlLWVdyN/LxlhQwKvlXB+g1eQYTgLaBbkhvDVwD5MnJkNAfJqfAYcFdF9OGw1Vka9Sm+8iEb0t3bvkKkRjoMLYTVs44pI0agNeURQNeAdoAua7uxqsUi+f6+NqHxnDm+jJYqJKViNAGegLkQggEXDppVXkc/hY5XCE2BIVcoFgKMDqVA82seCqdX7x7757dICTz3AEOAIxR7B28b1dTtvqOtav7kUtX4blG0vl64GY2uKPUDswGNiUhmMshHODOzSm8/wst2Pp0CmImtER5QE0vvY2JiNhiafudGP7RsKV0cgGq0dpYWgvLjC+PN4a3MDfqGHrMMbH0JtEDXEDREmOMKcVtww9qJLe2bMb8PMnJtTei7XmoQR5yVgPyL31wDK9ZXwYNlQlTNJLmQQRyn6s4Tx3jqbm5EX9ZDQjGJn30zO7HodHSO275+cZdVoB3g+YcbsCcOXNQrRThepm9Oz22cWJ4y6kUYzIY2YkrKDhWNQUdeWMHKhBDgjMSgnkhBocZNv0pjSu/VcDWQRVLOR24KYtQF2WlglIJktjPxAocqKMxsdxi62lUTJ6t+Xd0vLbAlDk5ng9FicgnbKsliGnhjHXisl8BmminK8j6mkrLIn1Q9FNB68XlGwgxga9OwimISsUMgigaiGgDjtJ3UyhBDRW94wNL5vn4ygfH8Ilvcfz+oTQGDxHASyj8uVC/pe6hqBqpnAkEaEhiGwYlQCVEV3sBK1cs3Xjuma/aOzlVQlM+e9j7evgpAMBLZbFn1++3ZTL5r8ztW4yUW4brhMafTJXmqDIhURIelXSeRvuKc5MALM2xda+LT32jGe/9fAue2DUDcEeSOzbmuMSmJVp6M5gLSztouJH2BMkxJvhNEZvgLCR5QNjDktsWsG2jnu12Mt1r0rEKxgQAIhqj+Tc3tmsoisptKEwubnFwGvuwcFKHk8eSXFQplsz18dXLR3HFZWNYNLsCVBJ0JfIt9+NUcTxENRQohsBUSFHm0g3dDwmqATBeDLFq1QoUCk1fueOu+7fNBNzADCS4bp1dc+CmCpsdMnZjWN1zQXliG1wnhOcG8FyZLi2qqGAac4jk3sSMzkkLbNvj4FPfLOD6X2VRDlkdVWAS3NqhSj70Hdi+Jloi63LbloEEwuLdSc2JmQulkcHC5OQmaCN1YD00k2THNM3wwUhycisA2ZDoeqywpLyS2soEHkl2TlRhKECHtxOteaFyAoATEFAIKjPUyhRSUjVDoBN8AgCXv1VCkutGA6C7JcSbX1tEyhX45NcL2L7HA1JKchNh/wkOEA5BGKqCIRQUXDkMUCIAHuLYVQNYvWrJjYsXL9x8aHh8prCdOcC97BxMjg/uau89+X0H9z7MRMp7Q8odRdrz4bp+DG4aRpoUGWDM1bYCuwds3+3iym82SXCDyUBJMkNwE3nRtQ5Uhlcg7BC0WktfDE6Lfyv6UeNRmACsKfktPD9bemIA1Z4dwpbKml7oYxrYxnsi8GsDj8r8avmxcMiod8Mhi8BUOyqgCwLKJdAjHk6lIYhSTAvy6AlTAVIOx4YzS4AArry6gKf2uipoQj9qOGQ+NuPpLGRkUZE7CAVFyDnmtmbR3dlyywXnnfC+bTv2DC7pn3PkAQ4A+cI8jOz77WDPvHWPTA0NvoH5g8hmOVzHB6OBMvcKxfNEtE+pUht6wM59Dj5xdROu+1UWFTCpvZ8puNUFa2pigjuqVJbwMYmktwlAw1xNE0C2gEvqTYI6KDa76usSD4tz42ePgW+A2wrKjbQowuDexh9JWEPVebjSO5t6cYuXq7HEUC3KaHmF6hmAXPbLQlVhAKQdjgvPKgEEuOKrBezaB8nJLekdAJBejvJmUgjiosw8lACsWT4Prz7tuEeu/8XmwQ2vPeFZ3dtnBXAAyDfPAvEGPpsW9/cXR5+4aMvOIQRc5psTQqAlJ9A/z4fLYicdUKAqKP74sIurr8vhJ7/KokpobbAC1ZmoKBpJ7ij0zOTepl+JwZ+TXDuiJ8YxDeQaUJM6WK0L+Np79FxiHoQhluM4kpiYR35XBBYtiYKSibZkIhogFGXhQFSpW68TbSqjwt/UebkOLhYEFDLveITeaUAulO+NDFFABHLP4bjorBLAgW9cl8ODj3uqMC1RwAZcR2BhX4DmHFdfh6LoM4xXe7FooPfac1+99rMPbnn6Wd/X57LgRzj6HdDmjuxHrvr5L6+9eeSUQxPSgsmDELPaq7jwnClccEYJK+YHSDFgMiD4wc+y+Pg38xiddOALagQrmI5TWnJrgJNYcutFpXKaiheWKhUzMSJ2iDbwaIcv02xvpIOocbiSi1di9Ov0yOaY2K+FJPridMk63YNOFRGdRzlvWbUyjWs0003r9QSr02fmYjfrajIr2NtIoWf450s7RjIPpN2XzBlJrOgrHXIY+xhJQ5/255e0NFIwEFkBzycEY5MMH7u6CT+8NYspn8BjwIr5Pv7izBIuOqeIWW0Coc9AAIwVXdz7WP899+1997nNqaeL//yeC14cgAPAtb94ECHnd378C9efsW3vISnBeQWkWoaLCno6q/jARVO44LwKfnZXCldcncfohIOoampDcNt67nrgZkSqpXQeQcupihrgJgZwom3Dwpn0ICTJvCfqIWP2K7CafUznLTEBTm3vwkYAJwawo+uhwrg+Y0JqA1tUkCDejgruNgI41Yvw2mwHZoUNDVYWBavE6fWSICd6IkTn4jbIleWasSBWETsEw5MMV1ydx613pXHBeWV84KIp9LQHoGCoVtLw/RQ4F2BeF/K97/g1QM90cqc+J5w+a4qi26uPX4iQ8/s3nL/+pH+/cWNmeCrARJVBCI6qH2LwaYF/vz2DLYMOrrszjdEJFWJGaR1wJ/k3jfTcjqImJrh1bhUT3GYlhtjnu46qz+DeSZph0Q9Srz/hTGW+Evs4jP5GLbnGNFV9Efc2Bmp+bVIZzZVNmiKsYzpmUy8ojUWnpUoUisrIK4rZiDwRJfKknCPiJ4TKDFpC6cnBNb2SPwTlQEgFwBkYhaQ6gUBbU4hPXTqJVYsCrFnmo2+uj7BIUal4KFcymCrmUA2y6Jr3mhLxVt6PGRh0GrXn/M7u9gLyae+j7/ufp37p4tfMLs8pVEDApIUhJDhxbRX/+90TOGmlr8KQNGLqLSodS3oTEkvtFKkFt1nH0vKh1vuJHIMRSBMc2kQoMQ/aELX7id1dc6KGzT5e6yJbv1mpEgw9d9LT0OLlxligHqiT1s46HoYw9OPamhlZP21PQ70dKl14qP6k/jz2QBSCxbp6Amx6xMXHvtqETQ95cvlFpHh65oCLweHVZbf5DV8C0h9lTutzhelzBzgAFJqyfHDr76484ZjOzx2zvK0qAllQ5qSVU/jsZaM4+/gy3vK6Il57SgWOjruz/EnsamdQj2+XSs2hjsqxOLdZpBVKSwLULv4QLybreQyaDlQNo3gSfRFU62hRavdnzv5MLYmFzYQB0O4nqtsAqrHINNMrw/BNiSZCAux6ZVsbMQSr5k/kUhuZ7okCdiKRUKiALuJJIITUkvgcuHVjCj+8LYs778/gH7/Wgk2PelKwsQBIzUJL71nDT+6a/DRzc9N6Cx6uPWeKotvGJ4arPV25qzraZ1VPXVb+1Lol++n/OGMSxy4WCIoMxOX4i1PLuOnXOYyHxNCOxCW0obiqpiRWvUqYHoEJcCfzJCazw9ZQlMQ2GoA8qUFJaFhgvLcGyppCzBTfemzyfQl1n0lZokpnxjjNYeL38HhcUpWotCuRzlxrWzgFpQKC8EirYkahCa7y+VBz0lOQUKr8CCUA4RDKlqBvSHyvOSgIir7ATRvTEHCAtIN7/pzGe76UxX87meOMte28q7f3n2cvWbzV8TLT+nq/KAD/0CVvw6233V4698SeG89b1/zJuU2DWNznoVR2QYmPtFNBLi3ix3m0mIwT0uswswjYSOQsgaIdMA04tcl6qIEVG8CiroSuAa4lpuVPU5/SkBoA1/qHY+Ygn64ZfFwHrpt6ckFgWyy10YYYMZyALb0F4qAJ1cdVsLFWE8rcgfElAHGgjsx/KMsrcBXgIiDLpcjKDTyaaLKp7ISUy6cAOKbKDIK4gJOCoCn8cauDsRGOhQtOFR1z5/34kQd/9+j6k85+3rfveQMcAFYvm4uJSv+TvS3iXWMjJ179+OBG2tVMkEqV4QUcQaCdM8wiUA4IoWCKjljegNALxMTiMZKyRnKe6K9BdiokuHgdXq53klLdBimpoT9AAtgJCf9sm0j81RzXUhca0BLlFnATklqHqQshYv26yeP1+pTEYCfGGBARU5/omwlIWSxUmuM4a5ksDBVH8ess+AQiyrkCwsEYAagL6mbhMA+93WW88Yx1PN0y8K7FS5Y/+actu48ENI8MwOcuWAbh31+Fc+q3f/Tz7VnXX/nF9QM70N3BAVECQagWEAy6jB+lFK7i2Slq0xGiInHq0QfLMokGUts8ZkhnC4AWVSHWGCTGR8G3dXxUABvk9Y4/V0luWThN66YpwZV1EiodW4RQk7IIGF6D6q3EkOJqAkSfpc4tU5xoOqSfZnKLqElBiPZKjLMKR08Q/eyMhBUHpwwgoep34DIXPWkfbzujA+ec5vz9gcXrv337/Y+F55684khA88gAHACIux779u4P/+r8DdtHDmye8EeuaxJiDIIIBILKQqzEA6gHSllUn9JTGhLL4w+1YESCZthhZ7XSO5bUwlaEJDk44o16Ujn6fvVUhDM0WdaMmo6jC/t4gpabhkrD4mlb92toigI3MTg3UdI14uHqe+vFqb7u+JiaQOoDBZGhZjAArO83pVLCUyErckAQmQeIc1AuTfMulVE9QRCiu7MZa9eeNXH8+uO2j08eCNuPELiB56lFSbZCUwZthUO3LBg49rJ5A2cNp9J5lMs+rvtNFkWRApgEd4YBeSaQYVJ6e1SV9KM6A6yRNF8n7Ky3UFTSXv8YJnXQnXUXj/qwOlBPfWjWn7ffYyOTRKNtjNb0ktrj5nbd0EVR7zWmC8J4n6Ue1PuRKrGO9gSIKYQOeTNUh/JUdhAEovfGwctawyLzVkrtiR/KlG9BKCsr+4ED33fg+y6CwEWKOPjL00twnDK6W/O48L+fOfyqE9ddtmXX2C3MmZkb7EzbEZPgAJDNyxD+sDp8Tbb9HCdMlT/7q99c3/mrB4CAZMCYh6wD5JhAiik3V635gAEmEeV/tAFjcmfYEreGWtQBdnJywPxMk7Mj3kZ8WqujrpRX/4/E2tJslibFkNymjwohmpLodNaIxDIXAqye9gQwJLr5/bQUF1GghKma1M+LSIsDEk0ion48Am1l5QiV+61W6DosxBlri/irc9JYsuw1Q5dsOPkfS2X/mtVLZu4lONN2RAGuG/PaIMTQd2nLefSORw9+ZnLywU7XTaHJk+D2VCoAM1eg/YNC5dVT+8IGeRJ4JHEsBrKoOQ6grkS3pH+SriQojEXFk6L7eaI7SUE0f7ZOL2LKEatRjAVmBGQo9qzOo/h0pFMnhkSP8pLI7QjK5o0XMVWJnwC2zj26RgKQUECWNxfgIUUYUvBQKh9b8yH+9QOLhiadUz58cKT63YG5zUcWhKqx53+K+u2Tn/w8xtJrHuTIDPmcnlaemMi0poG0A3hMwFPZilzlMasT01MLdPFOPUCaIWlWxE6dbE/JrElyn0RjzcxR1OiPtTWxv0l83jiDVbxv9jXaTq4hjFdqnC/5p74fqL2fDKGzJnfiuOn2q+ld0mVY318zg1Z8/nipaUf/0MjgE4YMYUhtA5CydgYBQxgSuNkFwx1dvZe3Zf/03fbO014oGL5wAAeA++68HuvPvOjhno6mp3vy4pyJ0ZGU55AoFZfHBBwm817Ejk8kutnxra5tSbfXeq9WNquESy2JnKFQA2YNYmoAOZ4AxBpjAZyQGPR05gC3gVcLfLO/Rp1p9pmfYYDbVpeSxp+rbrdN4ZIAj1sE7jA21Yeae6vtOHhZ7hdLFE5m8UQ6P/+yctn7Ya777xp5KRyR9oJQFLPNb+E8m8leO5yfFaRd8m8PPrIrnUtTuCz2qAOJq9wGoXzIBdpxx+CKEeQb0ACLmxNR++MZgyIjToK26A7zx447jNZYa3jEmq0ZsbmyaeXU1ypqaIrBYIimFKKGAkXvhdKMkGmuSP8mZlCEIGqBqV45jQIfKBVRjSeXVZBuGigTb84lk6XC9UFQfl5m+Jm0I6pFqdf+/rKLUSxWwiXzu6+fPbvnzSuX9ZVdGiLtAWmPIJMmyHoEaZdEdEUnXTStjQIwAmfNlX7cSINt3dHQkol6QK93rsQCUrxw4K75cmo/6XgVbcZ2fENjQgztirxSzbMjAp74GFHni0ekhGiVbFyOUFs+OZfg9gOGcoWhWHZQLMvtUsVBsUSQLfSXm1u63yyc2dcHQTlcuvbiF/LuAXiBKYput992PVaceL6YzB7z+ED75BOZFHv9oeFRN5umyGcoUp5MvhgKlRQJUjKEqrKW2Q/UctNooar362WOTfBsM8trxL1N2hKd2+SvCVpiZXs9HO+ehqI0+EPDcXGauJh3224FtVy6HhXSyVKJ/Vkw75dpNY5LsmvDEddlbRQ1qfoMU2WGqZKDii8T6FMSIte8oOhl57x1+brC9ZXRQ3zhqje/GNB74SW4bp/44MVYlH5E/PSX23/S09N7ycIFc8dyGYq2AkNPu4t0mql81CrYR63WA5U6QJbAiEtfxBLL/hyLvpDaYxIEtTkGI75a+zZbDfkit2SOQt1X8wQzpLultzaPG/2xydJU99V8urofZjEDmehJl5UkRErwMJQFESgRKJUJ9h6kODBMMFFiaG6bO9bV1XVJX9tDP9n8Oy7mLXvri3b/XhQJrtutN1+PS9/5N1i5qP2Rzo62PQP9s07Lp0vZ+d0TeHxPGXuGGNKeXIByDoyWKUbKDGUlxaFut6k1sWIxzcUirZXg8TGSWGzqbVJnsUpq3mc+ARpKcDwLLUq95ETGGPWt7clo9MdrBRJVAzEXmXV1/4nFK6372boUjQqFYxwu42BOCNcNkXI4Qs4wWUqhVHFACdBaKGNkahJ3bqZoKTRjxcpjDrW2975/vNzyQy6yWHPim15MyL3wi8xk+9iH3gYAGB8f+z5jrrNr26ar/NHrOn9y3yTKQRu6XKCQpehqA/ItJTw4CIxMpOEyhhwDCBNRPchGBFirvyyNA2IwqkPWcetxH71Oy+qfXWuwKLW2E9x/xqdNmPZhLCqtPOGR4YaoMcI6T7RhPNcJDKCrOEvXCeC6VYxOcjz5DMPImAvPdVDIBehyA3A6ggPlTqxd96qhU09/1T/5vv/91tbW53f/nmN70QGuW6HQDMGnvrNs1UnkscdGP8PFxs5CuoyWvIeuthQG5nIsXTCEx3aP4gs/7sDO4RY4KQqXEjiJ1MH6lzDxUWMQIvYxJCSW6RobScTEuMO2yB3PHmwm6tHXOu05SM1mzfmMwuqR9TJ6T6QVib0OTZ8UvU1gJvQ0PA6jWWPeP01PQmTTFRwYLeFffpLDlqcyWD6LYuEcBr8NSHsu5nR14z1/c+rQ6aee9uGKL77T3pp/oeHUsB01gAMAoTk8sqP87TB1bnDh61q/uPm+u1tdMonuNoqOlhBzOz0smB3gR7+Yws4DeQSpVPRDNj5pHWAbotlclJoaEwv0SAAewHRmStN6B5iqN4EZO2TNYFi9KzD5s5bOUnWogx2IqmWvYzVF5IVYG/9JopNFKSsS95UQAc8NMDTJcfN9bUiJHHpyPrIHCYRw0NbWhxNWHj/SPW/t5YSW/o2QoyO5dTuqAAeAlQvSCILqNfO7jh3m5f0LW5rwuf1Pb3bzmQoEOMoVpVMlJKovX6MRMM5nAq3WoGFY/KxjMU+FpjHGiYk6WV1wGZ+vAUjIs7DaJ94sP1rU8OboMw13V/0+Lcs5F3GgMITyyRaWj3gyUshaxGrHLD0JrM81YzXlusFLUaBCMD4ZYsgt4/jjXuUX2rx/aOo4aXsQZm712FGH19EHOAA4jscHd22/5Q3nn+8d2r+12NshvlEdv5+k3CrdP85R4Wk4joO8I038JshNPxEJBtu7UO/o48lFJCG2T7llPUQMMHPi1GtJowwhsUMSsUao8yU4fz1LoTnWPEXsk0IAIoyJFht+avxSEKdsE9FFoobqxXoTLenjNMsBoYDvolJNwUWA5kwF+ydCwMnwE9YfI+YvGHj36pVLv/fM7n3VpUsXHW1YAXgR1YSHa/P6FiIs7662d7Rf09E1b3l378DHm5rbcMM9HrYfKKA7R9DicXjK+xAwAAnUSHU9IAZqI11wrIWg1FYhwjiP8WI3xV0B45Gv+wEbPcmWBDWpM6kS1xB9rKUWRJQeQmeyisDMiWUg05U5LGCbaseIvqio+mgIQRA4KJZTGJ3Io7ctjTceP4r5c9qxdMWyjy9a2Le8s7Prmm07dr9kwA28RCS4bl29SwGgtHf7D7b2rDn9qht/xr09k3M+OrtwkBWcClIewfAURdEn8GgsqSMHLWLThloqAouKmEYdqvRr9dVpdVxgNSDUuaVANIMMzPdon776LUmldN9hOY7h/WdZJTmBoCKiKkzoasgqd7helEZ5UUTitGaKZfk0YpSjXHEwPJGBQwN0tnl40+u7wuPWtf2ft3/pr6/q6Lg1fN15px9tCNW0F1UPPtP2ha/8FB0LjhdvvejS39xy3bWp1gzWk3DMmd8dYlb3GP6w00GKUaQdAddBZNY3QWI7WJFEarTYqSoJbsuzTm1EVlLEx3SHKemlNVH1J/TglMR1Ms2FblyPs57lEPaaAY2eLPajgCD+PtF1kbgv+qNxpiyzjhGg/VZUcS83RC47iZs3edi7vxXZfCd65p5aWbjs4s+vWnnGFQ/eMktseONfH23Y1G0zW+IfpXZoeBwUIQTIZ3YN7jxp5+O30Wq486T/9Zmq09vahPasgMvkQink8tGs07bJ8nOqDB0lYKbHIkWUP1B7CAK1bqMkAeKkdiYJmNg70U7fRikBY7pPpnHTSb7stG3Cct+1tDyaHRP7GuynjV2xIkrzZhprqJC++EymZ9OOUHqfqhr2ofICdJ0QTdkSOlr34IofLAsKbNamS9/2ej6vb/6mkOPDKZfATU1fq/Jotpc0wM328EPfR0cza/rD4+VvfePaAxeWRoYoCYvIpBgmywRTKoMGU77lruGKawKcaXDTGNw1/J3YVsN6NyoGGrEAFeUspCagbZBrgMfXY+QkpI3BrS+E1LkOm+LYE0WDXH6mBLfDBBzKZRkaR1koGYdDZQKJqbKHqSIDoz5amhn65qX5fbuW/3jnwY6/zacqE++8aMPRhsSM2ssG4ADw+4d3IJPJdAwO7n7f5t8/sLJcHLvg0P5dqBKOB3dQBFWKrCukvzmT9MV1AIcR6aXIEAGsxucbxoLTuDMzuUERTzepTwLgGtwOMyab8Ron0zSfILbUthatieurdbCCsj5KChRJbwPgrsPhOhyew+G6shxN2gtQ9gP8YYvMEbhqeR862vM39i9a9UhLa8+Xfb9y0MstOdpQmHF7SS0yD9dOWL0AAA5u3zF4xXGrNvQ98cQ2lMa3XbDr6btx/84SSpUc0o5MEMkNCWYGU8TSNaYVtfwaBtCJigiLdcam9U9bDYnKBxInkbfH10yVxMLXjigSFmAB2PpqEBW0qhe5wjKgEqWvJJBVHohhSg0JQFSGKhmMYDtSOcxHaWoUj+/JYfWyE9A3MHDj/AUD7y8Wp3YR78jHTL7Q7WUlwc12aHgEIO6AKG9bvfvA0Pu+d9OO0zY/8CQOHZoAYS6aswJNaYG0R+CwOM1xJEGZ7QYrW4wiMxIGQKRtiNVxwpKmpgQ3KYmjaQmjcBiV6wJHUycpvR0mDKoiDCerWJdulwKMAU8ST5zkj6uluPzOcs2iUyq7jkA6FSCfraKQ9eEHIRy3gKaOfuybWnV3udr95Vetm/9wpRpsazlKviTPt71sAa7bZEmAMSy+9sbfzmrLu/93246HB35+z0Ns3x4HczuAfIYql05lfXMIXIdYAAdsfbKlXoy0ChLUnMuipILHQdHmWEYUNWHxhHIcCsYIXEbhOHLCuQxwHAXuiI/Hye6T0jvk0j+ea722AXDTLmAGaptPCUlJBDxH5S0R0gc/lw7Q2zmBoYkKCu0nhwv7V29zaOmdHXPO2gtg60xdDV6q7eV99Ubbu28YnId9IyNbZ09WUtd97//fWxDFPTnBSyhXBMamOFwG5DMM6ZSUqIBtpAm5UKFWwgg8JhENCblAGAoEoUAYyiJOGkh6gcmIfDpo6S0BTuAwCteRAHeVBJdrBCGDrh0lxZmIKIq+Li4IwhAIQoIg1EBPqEOpjq6J/eXNjLMOE8ikBPLZAK4jMDrBMFkk6OxI45jlLVOFnlPGh8f5hsX9i3YzxnalMi9PiZ1srxiAA4AQAQBGh4bHmrdt23li2sX/27fnqeDOex9u+/2fhppacxTdLRSFvAPXYagGIfwgziESBALVgENASl/XIVH1BiEAPxSoVjn8QIGcJyQpjRexjkPgKoC7LoXjSIC7CuCeA7iu1PbIorqaqohYgisWxEMi60X6BBWfwA+UPwgBHKpsAUpdWg0o/EC+l1DAD4BKFWCMoyUvMLvLR1d7EfvHOie4c9zwyhX9Ti4j3tHR3XcfcVvGeMh5NvWSNI88p/ayWmQerhHiAADft2/vyOL+2b8cm5hYvHXTXZU3XfzuD2VaHnjLgd07/K6Cv7SjWaQFn8D2ZziqPpDPOEilGEYmAhQrUqJSD6CUwnMpGJOLMVEJUQHgBwJ+IGqpAgUEAwACGsqFrubrZjq02B9GRFoUhwqlqovr7kRBvQwgPuAHEtylivxchwHEJfCIQMqVk6M6AUwUCTwXyGcEwjDAnqEArc1NaCmky83N9PG+/m53ddeJ16w+7Qf/ctcta1LpfFN5bLzCe7pfUfIOwCsM4Lr19MwCpJ6h+NBj2+G5zuccxj539mmrWGdb0zcK2anF23c9esqmLYdY3uPIZBj6uqt4ZrSKZw5RdBUIUp6UwOkUkzGjigaMjAeYKgsrRlTrKBiFKoetOHmoqn0YZf+0jl0bdxgTSgpzeK58ZVRETw19fs8h8EMHxRIwPiX13CmPglKCDBHIpkN0thYxWa7giR1NWDw/g95OhjndAZym3rCrc9k9c3uathIx+S5CD4VeKo0tm94m0vkFxaP9e72Q7RUJcLOtWb4QiLEYTE4O/W0ul2pt6Vn56c2P3+mVxnaHC+Y1H7tqoLjut0/swOAQR5o5aMmn4LoE+SxQyAkUchwTpQr+sD3E+DhBNiUlveTm6mYyIKV8PoiiK5yr2jTCyNBq6N+p4t+uK5DyQqRcaXghAAIV5+gwjkw6gOsF2PinLIpFiqYsQS7DQClDLiPgsjLamw+htY0h1bwULa3OH1qaK3/s75/P1p1+ThVO10cEL4+0t7Qf7Z/kRW2veIAnWz7fCQAjAP4OALb8+W5wQU/rKEycc8Lx/RvmzfWXNDkVDO/fgZYCQUdzCa35EjpafIR0HCN3ZLF/rAmzWzjyaalyGS7KxV9zRvrqSR4uEDIl6QWJJDssehIbXlwmkPI4cmkfTdkK/JBieCwDQggy6QA9bRMI6QQefqYLYspBe0GgqzWFplwBjuti9vxl6OgJsK7beWKSzbtufrdze8jF3QuPec3RvuVHtf2nA3iyLVt1GgDcvWP3yN1vOBsbCfcXjo8O85tuOsgHFnYuWL4o90+8uh0Zz8HD2x7F+PAkhidSYBBYOsvB0vkEVTqBG+71UAlSmE0FUg7AmZTcMvuq8uJDTGXMsoES5BwuC9CSL8JLjeAXv2uGqBawvM9HV8s4XGcSTekRLOvvBeHLIIiPdSvnIYPxq1wyvmPewCm0ra1Aez26fdFS/JKwrqN9a18S7T89wHVbMLsVAH6p9yvF/aA01eKXBzeNHfThMM8P9y78wCVvdc7mwgVEiB2PPYilC6awftU4Cm1TuOXuJoAGCMIqJksCghNQIquUBUEAQhxkUgxMa21CgTRCMBIiCACHMXgpgp/em8YNdzdj/cI0jlnSijmLToHjAM2sgg++3b3j1rtyXwyI765dsxIrBmbdPVWqjM6a/V+Artf+C+ANWirbDQCjAG4GgLse2IvOWXi8b0HQnfXAi+UAN+x5Ep7no7fDwwnLqrjhN76/4fUnXjk1NXn+8FjFb8pSNGUZOJdJjfJZhvYCQ1NWGYwEQXMuQC7jo1TNuPl87mdC3HTlIzuz7thUBg5jcLwmNLWvhSAeHCeka7qxf81q7CBkAFce7Zv0MmivPL3QUWy/ufseUEK6dw7ub953qCSaMhSFHEOgjEO5DENbgSGf5QgCqdtuzkuAT5ZzJN80a0wI7F++6oSj/VVeMe0/AIw5LSiLYactAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjM1OjQzKzAwOjAwafV7lQAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzozNTo0MyswMDowMBiowykAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 60291223
{'hecke_orbit_code': 63050738414125987, 'n': 1, 'trace_an': 8}
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id: 60291224
{'hecke_orbit_code': 63050738414125987, 'n': 2, 'trace_an': 0}
-
id: 60291225
{'hecke_orbit_code': 63050738414125987, 'n': 3, 'trace_an': 2}
-
id: 60291226
{'hecke_orbit_code': 63050738414125987, 'n': 4, 'trace_an': -2}
-
id: 60291227
{'hecke_orbit_code': 63050738414125987, 'n': 5, 'trace_an': 8}
-
id: 60291228
{'hecke_orbit_code': 63050738414125987, 'n': 6, 'trace_an': 8}
-
id: 60291229
{'hecke_orbit_code': 63050738414125987, 'n': 7, 'trace_an': 0}
-
id: 60291230
{'hecke_orbit_code': 63050738414125987, 'n': 8, 'trace_an': 12}
-
id: 60291231
{'hecke_orbit_code': 63050738414125987, 'n': 9, 'trace_an': -2}
-
id: 60291232
{'hecke_orbit_code': 63050738414125987, 'n': 10, 'trace_an': 10}
-
id: 60291233
{'hecke_orbit_code': 63050738414125987, 'n': 11, 'trace_an': 6}
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id: 60291234
{'hecke_orbit_code': 63050738414125987, 'n': 12, 'trace_an': 6}
-
id: 60291235
{'hecke_orbit_code': 63050738414125987, 'n': 13, 'trace_an': -4}
-
id: 60291236
{'hecke_orbit_code': 63050738414125987, 'n': 14, 'trace_an': 0}
-
id: 60291237
{'hecke_orbit_code': 63050738414125987, 'n': 15, 'trace_an': 8}
-
id: 60291238
{'hecke_orbit_code': 63050738414125987, 'n': 16, 'trace_an': -2}
-
id: 60291239
{'hecke_orbit_code': 63050738414125987, 'n': 17, 'trace_an': 8}
-
id: 60291240
{'hecke_orbit_code': 63050738414125987, 'n': 18, 'trace_an': 6}
-
id: 60291241
{'hecke_orbit_code': 63050738414125987, 'n': 19, 'trace_an': -4}
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