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mf_newforms • Show schema
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{'Nk2': 608, 'analytic_conductor': 1.2137261107234618, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 9, 'char_parity': 1, 'char_values': [152, 9, [39, 77, 97], [9, 9, 4]], 'cm_discs': [], 'conrey_index': 9, 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 3, 12, 19, 15, 6, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1099545182360, '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, 19, 5, 1, 9, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 608, 'analytic_conductor': 1.2137261107234618, 'char_conductor': 19, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 9, 'char_parity': 1, 'char_values': [152, 9, [39, 77, 97], [9, 9, 4]], 'conrey_index': 9, 'cusp_dim': 96, 'dim': 30, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1099545182360, 'hecke_orbit_dims': [6, 6, 18], 'label': '152.2.q', 'level': 152, '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': [2, 19], 'level_radical': 38, 'mf_dim': 144, 'mf_new_dim': 30, 'num_forms': 3, 'prim_orbit_index': 5, 'relative_dim': 5, 'sturm_bound': 40, 'trace_bound': 3, 'trace_display': [0, 3, 0, 0], 'traces': [30, 0, 3, 0, 0, 0, 0, 0, -9, 0, 0, 0, -6, 0, 12, 0, 6, 0, -6, 0, -6, 0, 12, 0, 12, 0, -27, 0, -12, 0, -6, 0, -45, 0, -18, 0, 12, 0, -36, 0, -39, 0, -48, 0, -18, 0, 0, 0, -21, 0, 15, 0, -18, 0, -36, 0, 36, 0, 33, 0, -6, 0, -6, 0, 42, 0, 75, 0, 24, 0, 54, 0, 54, 0, 84, 0, 36, 0, 108, 0, 69, 0, 0, 0, -12, 0, 54, 0, 36, 0, 84, 0, 66, 0, -78, 0, -69, 0, -3, 0, -30, 0, -12, 0, -84, 0, -81, 0, -84, 0, -84, 0, -12, 0, -24, 0, -126, 0, -60, 0, -27, 0, -78, 0, -54, 0, -24, 0, -27, 0, -54, 0, 54, 0, 48, 0, -3, 0, -33, 0, 78, 0, 30, 0, 60, 0, 51, 0, 60, 0, -84, 0, 90, 0, 72, 0, 42, 0, 18, 0, 78, 0, 6, 0, 48, 0, 18, 0, 30, 0, -129, 0, -90, 0, -60, 0, 0, 0, -114, 0, -48, 0, -36, 0, -90, 0, -36, 0, 0, 0, -24, 0, -138, 0, -150, 0, -36, 0, -30, 0, -57, 0, 90, 0, 12, 0, -6, 0, 18, 0, 78, 0, 48, 0, 126, 0, 18, 0, 93, 0, 102, 0, 186, 0, 39, 0, 180, 0, 108, 0, 276, 0, 87, 0, 0, 0, 48, 0, 72, 0, -15, 0, 180, 0, 162, 0, -12, 0, -96, 0, 141, 0, 72, 0, -6, 0, -72, 0, -102, 0, -150, 0, -96, 0, 60, 0, -48, 0, -132, 0, 12, 0, -36, 0, -87, 0, -36, 0, -120, 0, -81, 0, -81, 0, 24, 0, -36, 0, -42, 0, -111, 0, 60, 0, 48, 0, 51, 0, -12, 0, 24, 0, -264, 0, 12, 0, 24, 0, 18, 0, -18, 0, -12, 0, -78, 0, -6, 0, -72, 0, -90, 0, -69, 0, -18, 0, -102, 0, -42, 0, -114, 0, 48, 0, -66, 0, -75, 0, 24, 0, -156, 0, -192, 0, -174, 0, -96, 0, -18, 0, 84, 0, 48, 0, 72, 0, -120, 0, 24, 0, -12, 0, 261, 0, -162, 0, 18, 0, 102, 0, -36, 0, 24, 0, 264, 0, 186, 0, 132, 0, 12, 0, 114, 0, 126, 0, 105, 0, -6, 0, 90, 0, 39, 0, 144, 0, -126, 0, 234, 0, -81, 0, 60, 0, 54, 0, 54, 0, -69, 0, -42, 0, -78, 0, -90, 0, 174, 0, 78, 0, -24, 0, -6, 0, 57, 0, -138, 0, 84, 0, -192, 0, -54, 0, -114, 0, 186, 0, -54, 0, 84, 0, -75, 0, -12, 0, 54, 0, 120, 0, 0, 0, 66, 0, -228, 0, 0, 0, -75, 0, 96, 0, 30, 0, 138, 0, -66, 0, 12, 0, -198, 0, 135, 0, -108, 0, 42, 0, -6, 0, 0, 0, -90, 0, 72, 0, 54, 0, -66, 0, 36, 0, 84, 0, -156, 0, 42, 0, 27, 0, 72, 0, 54, 0, -24, 0, 75, 0, 84, 0, 162, 0, -63, 0, 210, 0, 168, 0, 48, 0, 18, 0, 30, 0, -66, 0, 84, 0, -180, 0, 306, 0, -144, 0, 210, 0, -87, 0, -60, 0, 270, 0, 78, 0, -66, 0, 54, 0, 66, 0, 84, 0, -48, 0, 36, 0, -186, 0, 78, 0, -111, 0, -138, 0, 42, 0, -198, 0, -138, 0, 168, 0, -48, 0, 0, 0, -48, 0, -252, 0, -72, 0, -138, 0, -174, 0, -168, 0, -156, 0, -180, 0, -123, 0, -162, 0, -144, 0, -126, 0, 24, 0, -261, 0, -132, 0, -192, 0, 0, 0, -138, 0, -180, 0, 6, 0, -105, 0, -105, 0, -84, 0, -210, 0, -84, 0, -168, 0, -36, 0, -222, 0, 153, 0, -90, 0, -210, 0, 96, 0, 108, 0, 147, 0, -216, 0, 120, 0, 159, 0, 108, 0, 24, 0, 270, 0, -3, 0, 150, 0, -90, 0, 222, 0, 222, 0, -36, 0, 114, 0, 306, 0, -21, 0, 6, 0, 48, 0, 258, 0, 63, 0, 210, 0, 108, 0, -6, 0, 144, 0, 93, 0, -276, 0, 180, 0, 51, 0, 228, 0, -54, 0, 168, 0, 138, 0, 354, 0, -12, 0, 132, 0, 258, 0, 96, 0, 174, 0, 132, 0, 240, 0, 12, 0, 18, 0, 180, 0, 102, 0, 12, 0, 42, 0, -126, 0, 108, 0, -93, 0, -78, 0, -66, 0, 84, 0, 3, 0, 48, 0, -72, 0, -156, 0, -366, 0, 216, 0, -480, 0, -276, 0, -228, 0, 72, 0, -30, 0, 186, 0, -78, 0, 36, 0, -348, 0, -18, 0, -66, 0, 108, 0, -228, 0, -120, 0, 72, 0, 150, 0, 54, 0, 96, 0, 204, 0, -132, 0, -204, 0, 105, 0, -285, 0, 12, 0, 318, 0, 24, 0, 150, 0, 270, 0, -42, 0, -12, 0, 204, 0, -258, 0, -72, 0, -105, 0, 51, 0, -114, 0, -84, 0, -198, 0, 180, 0, 12, 0, -66, 0, -222, 0, -30, 0, -48, 0, -12, 0, -144, 0, 84, 0, 72, 0, 330, 0, 174, 0, -81, 0, 126, 0, 114, 0, -36, 0, 186, 0, 222, 0, -60, 0, -228, 0, 264, 0, 138, 0, 324, 0, -12, 0, -21, 0, 30, 0, -210, 0, -72, 0, -6, 0, 78, 0, -426, 0, 18, 0, -60, 0, 30, 0, -144, 0, -54, 0, -117, 0, -270, 0, -84, 0, -66, 0, -450, 0, -48, 0, -36, 0, -321, 0, -198, 0, -66, 0, -126, 0, -153, 0, -24, 0, 144, 0, 96, 0, -81, 0, -72, 0, 138, 0, 162, 0, 210, 0, -12, 0, 144, 0, -300, 0, 204, 0, 186, 0, -204, 0, 12, 0, 117, 0, 231, 0, -30, 0, 108, 0, -279, 0, -162, 0, -144, 0, 12, 0, -132, 0, -9, 0, -138, 0, 72, 0, 18, 0, 156, 0, -312, 0, 96, 0, -33, 0, 18, 0, -192, 0, 90, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 13763163
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1099545182360, 'source_is_minimal': True, 'source_label': '152.2.q.a.9.1', 'source_level': 152, 'target_conrey_index': 9, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099545182360, 'target_is_minimal': True, 'target_label': '152.2.q.a.9.1', 'target_level': 152, 'twist_class_label': '152.2.q.a.9.1', 'twist_class_level': 152, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 13763164
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1099545182360, 'source_is_minimal': True, 'source_label': '152.2.q.a.9.1', 'source_level': 152, 'target_conrey_index': 161, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512173305200944, 'target_is_minimal': False, 'target_label': '304.2.u.d.161.1', 'target_level': 304, 'twist_class_label': '152.2.q.a.9.1', 'twist_class_level': 152, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 13763165
{'conductor': 19, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1099545182360, 'source_is_minimal': True, 'source_label': '152.2.q.a.9.1', 'source_level': 152, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071485256, 'target_is_minimal': False, 'target_label': '2888.2.a.q.1.1', 'target_level': 2888, 'twist_class_label': '152.2.q.a.9.1', 'twist_class_level': 152, 'twisting_char_label': '19.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 13763166
{'conductor': 19, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1099545182360, 'source_is_minimal': True, 'source_label': '152.2.q.a.9.1', 'source_level': 152, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67553994444114760, 'target_is_minimal': False, 'target_label': '2888.2.a.p.1.3', 'target_level': 2888, 'twist_class_label': '152.2.q.a.9.1', 'twist_class_level': 152, 'twisting_char_label': '19.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 13763167
{'conductor': 19, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1099545182360, 'source_is_minimal': True, 'source_label': '152.2.q.a.9.1', 'source_level': 152, 'target_conrey_index': 17, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099545182360, 'target_is_minimal': True, 'target_label': '152.2.q.a.17.1', 'target_level': 152, 'twist_class_label': '152.2.q.a.9.1', 'twist_class_level': 152, 'twisting_char_label': '19.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 13763168
{'conductor': 76, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1099545182360, 'source_is_minimal': True, 'source_label': '152.2.q.a.9.1', 'source_level': 152, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873639056, 'target_is_minimal': False, 'target_label': '5776.2.a.bm.1.1', 'target_level': 5776, 'twist_class_label': '152.2.q.a.9.1', 'twist_class_level': 152, 'twisting_char_label': '76.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 13763169
{'conductor': 76, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1099545182360, 'source_is_minimal': True, 'source_label': '152.2.q.a.9.1', 'source_level': 152, 'target_conrey_index': 17, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512173305200944, 'target_is_minimal': False, 'target_label': '304.2.u.d.17.1', 'target_level': 304, 'twist_class_label': '152.2.q.a.9.1', 'twist_class_level': 152, 'twisting_char_label': '76.55', 'twisting_conrey_index': 55, 'weight': 2}
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id: 13763170
{'conductor': 76, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1099545182360, 'source_is_minimal': True, 'source_label': '152.2.q.a.9.1', 'source_level': 152, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 166633186246268560, 'target_is_minimal': False, 'target_label': '5776.2.a.bl.1.3', 'target_level': 5776, 'twist_class_label': '152.2.q.a.9.1', 'twist_class_level': 152, 'twisting_char_label': '76.63', 'twisting_conrey_index': 63, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 406000
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 1099545182360, 'p': 2}
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id: 406001
{'charpoly_factorization': [[[1, 3, 12, 19, 15, 6, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 3}
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id: 406002
{'charpoly_factorization': [[[1, -3, 12, -19, 15, -6, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 5}
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id: 406003
{'charpoly_factorization': [[[9, -27, 90, 21, 18, -3, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 7}
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id: 406004
{'charpoly_factorization': [[[9, 27, 90, -21, 18, 3, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 11}
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id: 406005
{'charpoly_factorization': [[[1, -3, 12, -19, 15, -6, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 13}
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id: 406006
{'charpoly_factorization': [[[1, -3, 12, -19, 15, -6, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 17}
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id: 406007
{'charpoly_factorization': [[[6859, 0, 171, -64, 9, 0, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 19}
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id: 406008
{'charpoly_factorization': [[[2601, 3213, 1764, 537, 99, 12, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 23}
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id: 406009
{'charpoly_factorization': [[[5329, 6789, 3804, 989, 111, 6, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 29}
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id: 406010
{'charpoly_factorization': [[[11449, -3531, 1410, -115, 42, -3, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 31}
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id: 406011
{'charpoly_factorization': [[[-152, -36, 6, 1], 2]], 'hecke_orbit_code': 1099545182360, 'p': 37}
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id: 406012
{'charpoly_factorization': [[[12321, -4995, 2412, -483, -9, 6, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 41}
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id: 406013
{'charpoly_factorization': [[[289, 255, 132, -1, 39, -12, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 43}
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id: 406014
{'charpoly_factorization': [[[25281, -1431, 252, -57, 9, -6, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 47}
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id: 406015
{'charpoly_factorization': [[[494209, 238317, 52476, 6661, 543, 30, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 53}
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id: 406016
{'charpoly_factorization': [[[289, 255, 4020, -1783, 345, -30, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 59}
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id: 406017
{'charpoly_factorization': [[[1456849, -112251, 6180, -503, 3, -6, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 61}
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id: 406018
{'charpoly_factorization': [[[729, 3645, 4860, -945, 189, -18, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 67}
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id: 406019
{'charpoly_factorization': [[[927369, -407349, 78084, -8901, 711, -36, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 71}
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id: 406020
{'charpoly_factorization': [[[1814409, -157599, 46476, -1191, -153, -6, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 73}
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id: 406021
{'charpoly_factorization': [[[72361, 45999, 5436, -865, 207, -18, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 79}
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id: 406022
{'charpoly_factorization': [[[6265009, -443031, 68874, -2351, 402, -15, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 83}
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id: 406023
{'charpoly_factorization': [[[729, 729, 972, 513, 135, 18, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 89}
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id: 406024
{'charpoly_factorization': [[[15625, -9375, 7500, -2375, 375, -30, 1], 1]], 'hecke_orbit_code': 1099545182360, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 17, 'hecke_orbit': 1, 'label': '152.2.q.a', 'level': 152, 'portrait': 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ZsjPGWJjCBKfJa6kuHYw9cCYQ3z04YNUwnL3YDuUDCKPVYGgs1ThqWO4dhZRc3z2TwL2+dDNs2N2Dg3ZvPcmO2bLDs2K664wKOumhw+1ua+p3weeTbmiaMRierxxpd2eOuLLXU1x7NHpzl8SnPyXMKZFNwHFi03XLXAL71rhQs2THHq3DTnVmosdTxWupJOL6EzSOgNYe+hRZ4+2rni6X2nXnb01Lldx04tfvmmV78tvPsrn3iuIfFt3f5WM/jycoeV0FJT/OqdD+1/8b/7zT+T3/eyYy/+mXcc14srm1lYmWFxpcFSx2epo1nqwHInYbkTsbSacGYVDi4J5jes8h9+eIkX7m5w/Owsp841ObWoObtkObMYc2Ih4VwvZnp2xEuu6fOiy8GXdQIVcHa5xulFzZllwWAMcWyo+YZmLWFmKsYAR8/EdPuwc5NHsz7GWgHCpz807Ng8ZmlVg3VSZLUP4xgsluVOyLaNHr2hQiiLMGPaNY8dW0asDgRHT2kSo5lrS1o1QeBBHAsGY8mZZcnpJcvZlZggGIEXc9OVfV58lWC+XWdppc3xswGnFuHsYszZ5ZiTy3BwyfKCKxf55R9eYfN0m2NnZjmzVGdhxWexI1leTVjpRqx0E5Z7lnNdwZEO9JZX+M1/Fcb/4A36Hm/up4ysXXOPkvHPR3Edv9Z+rqFy3tvfWgb/s4/9BTe+8Hr+zb/6mV/50Mdv/79/84+/fsn+Y51dh04P5M1XD7lwsyWONdbK9C7ASkACAiEsWlh8CaeW6jxwQHLNxctcfsGIRg08LfE9he9rmnVJw5MM+h77jtT46iM+R8+N6cYR+46P2TS3zJtessI1l/R4weUdjizGLA4EjWDEoVOWTrfJ1RdJVkcJe44oWg3N00fh0q2WUZgwSny0jphpwd7jAUoneDJGezAcS154+YDhQHLNJQndYcLRUy0u3KxoNkJWx5aN0wNW+l0+dhs8djjhicMjdm5d4trLuszMhrzhph7f+3LLxZtbJNE0h09OcfCEx/EzhhPnIk6cSzh4TnBsNeJ5uxf4Dz/cY9P0NMfPzHJ2qcHCqs9SR7LSSej0Ilb7Cat9y0ofzgwUnV7Ii65c4p+89ZxsBmbX6uLhC4eD5EYZXFavN2e+dvcdn+UDH/zIcw2ZdW9/Kxn803/5l1x95U51973P/Nv9h8/8wj2PHFbHFkKWRprFUcK1u87yvp9a4PqLG5xZnmFptclyp8Zyx2O5q1npwUonYaUbs9yLWezA8RWBro+4+aplvu/lIRdubLLab3Nuuc7Css9iR7DccRJhpWfoDg3dsWUwiplrR+zYZABB4FlOnPMQMmDnRsWFWy1bNw44uzLm8f0tnn+ppVFf4akDs7SaIWHoMTdjGI7gih0jPnLbNJddEDMeWzZMSaJkSKsW8PSREXWvyXW7Y544FHJ2yWfbXMCFW2DH5hClIk4sgu9ZhLDs3BQz05L0hgH9gUd34LHcVSyvwlLHsNxJWOwknOnA0ihhx7Y+33fLIjdfrql5bU4vtllcqbG4qlnuClY6htVexEovYbVnWerDmb7izGrMjZed4b3/eJHLttdZ6bZY7dVZ7U0TycsSFWz5lQE7fzngTPK617/5uYbOmtvfKoA/++yz1Gu1+vETJ3Y8s2fPO4+fOPUf9+w7TmcgWOlbVoaShaHkdC/iBRed5b/81DLXXlTn3Mo0S6tNVro1lrseK13NShc6PcNqL2alF7PctZztCE71LYg+b31phze80HDRlhph2GClU2O179PpKVb6gt5AMBpbwtiSJKCkJfCgHlim25aNsxHaG3HwdMiTBwJM3OR1N4Zob5WH90yxawt88YGYl14dcK4zpKYVcRIxOwNx5KG9mKWlBi+5vssX721x4RZ4aP8YjwavfaEhFkOePJhw+EQNLX02zWhmmoJ6IPB9gRIQGwgjyyiE3sCy2jf0BobVgWGpbxkmCTu3D3jDizq89cUhmBZLq1OcW66zlJFBB1Z7CZ1+zGrPMfdyH073FAvdhBfsPst7f+ocV+6ss7g6xWqvQbdXY7nrc3ZJomvbaE1v+sWLL9r951u2bj82Ho+Gl+6+7LmGUn77WwPwQwcPMLdh3j986MCPHti//7cffvRx0ekO5GBk6A4SugNDdyhYGYoc5C+85Bzv+fElrr+kxuJqBvKA1Z7PSk+z2hN0epZOP2G1F9PpG1b6lnM9wemOYWZ6wHe9oMdNl8fs3KRo1z26vRqBJwFFGEuMERgLgxEgDDOtEftPWowNufWhJuNBnUu2+dx8zYDIrHLnI9Ncd6nH/jN9OittXnTNgK89HLBp1rLnqOWfvKXLniMBm2YlX31EcfMViuVBl0PHZ7lud8idTw6Jxw1uutLn4gtGDOM+X3lYQSI4eELTbmi0gMHQBdWJsUQxIA3aN3T6lmYr4oItY158xYDven7MXLPG2eUpllbrrHTdsVnpCjp96PRiOv2YTj+hM7AsDyRneoLFXsyNly3wKz++wLUX1ljIwN0P6PZ9VvsenZ6iM7AgaubS3Vfbiy665N2XXLr7QwsL58JLL730uYYU8LcE4GEUy9Fo+KY7b/vyJVEUvffRRx/yxhFEEQzHCf1hTH9o6I0s3aGgOxScG0pOdWJuuuIcv/rjCzz/Yp/V7hQLKy06/RqrPZ/Vvk5PAvT6lu4gpttP6A8NnYFloS9Y6EOUjLn20iGbZxP6A8vrXzRm12ZDnEi0tIQR3PF4jWPnamyZiXnqYA1Mg8u3K66/zBDUBjy8f8DCYpOrdjVpT69w7xMeN1xaY2mwyspKm82bLQ/sUfzgK/s8uEezfaPHYr/DyvIs118x4N6nEmbr01x1SZ9znQ4PPDNNXTd5wWWW3TtGIPs8fliwcTbi7ELEnY97jCKFlJAYy64tId/1opBeX7F1xnD9pRCGDZY7DZY7Aat9j+5A0elLun0cafQTeil5rA4sy0PJya6gMxxz8+4FfvnHVnjBpe7i6PTqdAcBvVQOdQeK3lAyGMFgmDAaJ9xwww2R1t6/fuMb33CgUa9/TmnPPNfYes4zmaPRgCgc/PCRA4+879zp/bMLi0vUAolSgpG0WGsxRuEy8qkFKCxSWqTUPPjsJn7+A5q33LzM979ymQu3hZxZahP4deqBTyPwaNY1vbqkNfSYamoGo4T+MGHT2DAcW3qjgOWFGieOW8LYcPJMTBBYQOAri5aCwVAh8IgHmuftEly81bJj24Bx0uNLDyr2HpjhNc8PuP6KFT78JYsvGuzaNuCJexXbphUb2gNqqk4YeZzrQbOm2b5J8NjekOt313n5dYv84eeH+F6LV99o8YIBX38g5Iv3N3nmcJ2LtjbYtSVhfibkwg0RV+9KUMqglQUsjSBgfjogjDx6A5+n9nv0R5rBUNEfSfpD6I8s/YH77r1hQn9o6Q4tq0NYGCjOrlgaUx3+6esW+Hs3j7n2oianF9t0+jV6Kbh7wwzYgtEYxmO3giQG7r3vIW96ZvZ9UzPzyy+++YX/st8f/GGz2fjfF+Bx1Af4sbNH7/7Vw3vvnLVRn3bDI4wk4wgEAqzCpr8vBAjhOmmUtCiZ4EvJE/vnefTZJvtPneMtL+7z4itHTLfaLHcaNLs12kOf/kDTS0/2cKQZjDWjsWUUGsLIEkWWOHH3MPaxBqQSeFpQ8wXTLcFMCzZvMGzfNGDDTIcvPwx3PeohzRSveb7H8y7vcfczEeGozc3PE3SGQ84tNblpt2HD9IC6DhjFioVuhDKC5+3WNFpjHtlX42XXT/Gia3s8sk+BneL5V/r8ozcu87XHQr76YJM9x2rsmFdsnq0z02ow1YJ6AJ62KAnGwp7DgiQRRLEgjGEc4b7jOGE4NozGhsHIMBgb+kPojmGhLznXg7EZ8arrlnnTizv8/Vcb4rjNmcUm3X6N3tCnP/ToDxW9oWIwEu6eHr9xmDAODWFoOL1wksMnvjS7uJr857e88WW60x18YKr93IH8OQN4Ep1DyOgfdc9+7VdXT399Y8MLmZuuMxgZhmNQSiCFRAiBEAohBFKSghuUsmhl8ZSh7gkWB3U+ett2vv5ol5devcq7XrXK1Rf2mZtusLTaoDcMGAy9FNjK3UPBOJJEsSCO3VJv06tJSYvWUPOhUTfMtiK2bRwQ02f/yYiP3Vnj0PEm00GdG67U3HRNlwee7XDrfW1uvLTGji0DPnKbQImAdititT/GWFAC5tsDuj0fE9d500vP8dEvNrj4bI033DggjJa488k5oqTGC6/cyBtu6HLpBR2+/siAJ443ePywz/ZZyWxb0AgEvucuQple/MaCMZYoTi/WyDKOHBBHIQxD6I0EK2PBcg+EHnHdZau867tWeemVCXPtOivdBp1end4goD/y6A+LlWAwlgxHOHCPE8Zj46zQ0DIOLcNIcXKpw+9+5KsbFwb86g++5cX2+JmVP7hg88xzgrO/cR88PPPrnGn9A/Yf2vMj0/KOX2/Z2+ZHwy7ggRUpS5OeMBBSIBEpwAVCgpQO7EqClhZfWmoatFQs92s8fqjJPU8G7DsVsWWux8Xb+kw1Q2baIe1GTLMe02rETDVjZloxs+2EuemEDTOGjbMxm+ditm+KuHDriJ1bemzftMogWub2J0O+/KDmaw+0WV1ucvGmGi+4XHPjVV10bYEv3FunLqe4+RrBxTvO8YX7GuzeErBlY8wXH0gYDJq86CrDrq2rHDgW0Ko1uGDzkM/eC8oGbJkNmJsacv/emFPnFFHkoVWd3ds1L7w84pILeszN9Dm6ZNhzQnFuxXB2xbLcTVjpJSx1E5Y7CUsdw1LXPS52LIs9OLMqOLkiOd4RnB0kdMMB1126yL94+zn+8fcMuPEyHy2mWOm1WOk06PRrdPs+3YGmN9AO3JnmHllGI6e7h6GTeaOxYTC29MfQDyXHFsbc8/SJpkoOvuza7U+e/n9/47WP7Rn+IE/d/Rd/o3j7G2Xwn3nP+/E2/Sn/8Yff+Pej0d7fVGbvNElA4E9TT0KMcQkaKS1KugBKKVBSIJVAKYVSAq0MWiV4WuBrg+9ZAs/S8BOma4Le2GOlO8Mn72pz2+MjNs0MeOctHS6/YMRo2OeqCy0XbFaMI48kUSTGJYoEFikNnk44etZy+IxgdWj4zN0NTi7OYEOPmZpi65xm52bNRdvgqou7GLnI73+uyfLyFDderrnq4g5ff1wgYo+NM5JmI2YQ+UgrwUqU9umMBGeXBVfaBrc8v8c9j9TZusHnxqtm+YdvXORDX+zx4L4m/ZHH0mqLC7fWuWzLgBfu7vG2l/U4tbzMZ+4OWBoEHD3tcfKkj6cEUkoEAmMtiYHIWJLYMDMXcc2VA8bjiMsvGPP2W8ZsnFLMtgKiqMbphRqDoc9g7Fa54UgxGCmGY8lwLBiOneYehYbROMmlySi0+X0YQn8s6I8FIxRLZ1d47weOb/jiPRf+5lWXXRJ99D9f8KdnDr2PzRf9y//1AP6e9/8R//rHXil+4hd5x6z/1Pvf+fInG9dfKhgMfAI/JEkU1jhTR0jyQNIBXaKkRCuBVumjFng6wdcC3zPUPEs9sjRCy1QtYaYuGISSXtjk8Ikm7/nTWTAxIo55/jUDLtwcEsdgrMFal8SRwl1I2vPZd8xnz4EazZqm5Us2NATzc5KNs5qt84qdWxIu27lKIpb4b59qc/TYNDfu9rh8V8Iw7nHfkwHTdY+5Kct0K6RRd1LIGElnpFjuW5Y6CZ1+nZdctcpDewbsPaaYbtd44ZXT/PiblvitT8MjB5r0h5bVnubscpvNGxpsnBmxc27Ez7xjQLvR4YnDsO+4xPMsSlmEMIB1/7MQx7Brc8LNV8ckkUcUB1jbYBR6nFn0GY49hmPNKFS5fBuGgtFYMAolwzGMQ5eVHY8N49Awikz6WnaHQeTA3Ykk/RgQlpUVWD7z1PSbf2Dp/e89fjbW8//qTmv/xTkLifwbqDX/GwH46PSvEGw+oD77xVNvXVzofvj9XzhVe3zvNO999yqX7xhhrcIa1yYlBCmwNUpZF0wqleptiaed5vQ9xdiTjENDECaMI0s9MowjQxha2jGMI8M4hjAWjCLJOAmIkhp7DzR5fC8k1uKg7bSxJ8FXruajFcBVW6Bdh6mmZKalmJvWbJyFHZvHbJlfJbLL/LdPTXHw0BTXX6S4aLvk4u0r3P50zNmlKZ5/oWSmbaj5QwIZYJUgTiTCWuIkZKVf4+ySx/WX13ne7h53P1Jj04ygUWtx/W7DP33rEr/5acPTJ1us9g2rPcXCimbDdJOZdp2Z9hTtRsR8M2Ln9SGBF+PpGKUSpHDBhMVdVFGkOLegiWJFFCvCSDGO0sdQMo4k41AyCiXjULgANRSMQ8s4dMd1HCaEYarpI/f6KIRRJBhGMAgFnVCwEsE4jGA05HkX9/i1n17kDc872dh/RvxR1N/b1bVdz7emf/xvAnt/7QB/9//zYX70fdPq6h3H3h7YPX9410Ona9QafOm+aTwNv/yTHa7a3kcKl4IWMmVulTklFk9ZPK3wtMULJb4n3EnwBGNfOdclNESRJYwT54rEpXsCcWJJEkNiIDECY8jBLUSm58HzINCCWiBoBJJmQzHVkMxMCTbOxuzcPKDVXOVT94Tc+eQsq4ttrtmh2LnF49ILRiRilS8/2KDpaeZnFK3GiCcPwjOHNFdfYBmMFddeGnHNxZYzpxMWVnyGowavu6HHN54Ysv+kolmXBH6bqy8y/PKPLHHH00M+d8cGlrqWnRsTVjqa6bZiqunRang065ZaYAh8Q6ATtHJSS6atldbiElZGEBtJnAjiWBDFkjAWRJFkHDnnJYwEYWQJQxhHCWFkCEvEMY6ye+rSZOCOBJ1QshrBaBwioz7Pu3CV//CTS7zhRRFxHODZR4J7HvjvPP/KXS+59gVTn+if/o2kueVf/N0GeEv7UtY73//5b6z+zkNP92thNA8BkPh89m5NONa8/ZVd3vnKPlPtBDVIUNKglY9WJpUhGi/SBFox8hzTjD1J6AvCSLiTEymiGMJIOgchLmy/ODEkiXMXEps6JalbkrkzSjrZ42tB4EtqgaRZF7QblumWYdPsmPmZHrFd5ePfkHzoi3NsrNW4ZodgxxaPXVsNO7es8Kn7LMvLNS7frJhpQ6sRcfaI5NxKgH8hjCPB/JRkehr2H7asdA1nFmtcuqvGK5/f4/N31ZhrQeD7KDnN1RcLfuIN5/DkOT579wzPnKyxqRuxcTpmqqlo1RWNuqQeaAIfAg+0dg6TTIP1HOS4CzsxkCSCOCEFOkSJJYwhihJHCpEhzB4jk9qOmSvjwD2MBaNI0I8EnVjQCy3ReMxU0OWdr1vina/s85rnG/qDBlHiMT9lee01zwS6rt6/cOgyDc0/w/HM302A//YffJo4MT9y6zcO/ZdDB061W/40sQehsUTKJ1EeX35Qc9/TNU4vL/NP3jZkph1RC2K6/Rpa+Xjac/cwIfQ0fuikSRi5VLpjHOGYKGWlOIYogSSxxBmwjXu0mQ9I5quLNHAVeNoBpBZAo2Zo1WOmWzHz00M2zKxyz96QP761zr7D0+ya8rh4M2zf7LN9E1y2o8sg7vLAnjZ15TE/o5huwXRrzMxUjO9rhHAX13Dss9yNWB1YOv2Ycys+Oza3eNHl57j1wQH7TrZpBBGe8hFiiou3KX7o1Yu84LJz/PGtLR54apqlvmZjO2a6EdOoSeo1ReAJAk/ieS5WUSpzoxzKLaSJM3Kgx4lJV7fUWowNceLAHUcQxra4RxDGMEqBPYgEvVjQi2E0jDHxkLlGj5/+3iV+5gcGNOuabq9FGHnEiaZnFMYoev0zbfz2fwvaz/eP7PmLD+264m1/9wC+utJBKvljv/vBv/jVhdMn5ra1YRwnjBLBOIFBIhjGPuOWYnXs818+5rPn4ApvelmfW67rsWlDSK9bZzgO8L2YwPcYh5rA1w7cKcCjSBLGbtmN4tTTTiBOZMpUYIzEWApwuyRlYTUqlzDxPUvNN9RrMa1azEx7zJYNXc52Bvz2Zzy+/NAsyytNLpkX7Ngo2LbRZ/tGwYVbR2h/lY/eqTl0vMnuTZKZlmSqmSDlmJMLlkBLpABrBWGk2bmxy4MkdAeKla7l7HKd3dtrvO2WDp/4us+RswGejhDCw9gmUSx5/oUr7PyBLl9+ZMBHvjzLw0eabJsRbGgmNGsJNV8QeALfc7GKVrjAWYq8JsPiLjJjcU5L4gCfgTxOnKRzYIcwcZnKMEsexYJhDL1Y0o9gEBmSwZjtG7q8/PpV3vyyAa+/IcETDVZWAqLYJ4o0UaIJIxcDjEPFKFycm7Wj91527dvUcND9QL3x11NT/tcC8NXVDp7n/cOvff2uX92795mNU3WDrwWjyBLEgnEsqCWWoRL0Y8VA1ulEHh+9vcYdT/S4/vIuP/DqAW+4scPcdMBwFDAc+wSeRxh7+YEKI0UcK6JEEseSKBHEsSRJBIkRhdY2glyV2MJnV8q5Dp4y+J4h8BPqQUyrPmbDdJ9hNOTrT1o+dvsUDzw1zYzvcfU2y5ZZyaY5n63zku2bQi7atsITR4Z85hvzTCnN/JSg3RS0GxGdQcIX76vR8i1COGANx5o33TzmC/e7mphO33BuRbN9Y4u3vLjPA3t77Nnv0wxilBQO5KbBKHRa/4de2WH3lnN89I4u9z4zzbGVOpvbgqmapeEbatrge6CVQEnSBJn73ln5kUmlmjHFChenQHcEAVEiiJIU2IlgFAsGsaCXwDg0xGFIsz7gLa9Z5gde3eX63QmbZjXDYYtu30/PlUcUacJY5Y+jsaY/Uizt37/RyPt/9Yprbjb9fveDzeZ3HuTfUYAP+h2WV/tIKX74nnvv+fWv3377XK+7SrMukYoiYFTgJeDFEEioKUFfeQw9xYmuz6n7G9z/ZJ9PXNPj7a8c8tqbR8xO+4TjgHF20GLtmCFWxIkiTqRj7aQAuGtjI7cfwWX7XFDp6ji0NvheQuBH1IOQVn1IwpCvPSL509umeerwFCIK2DVj2TJt2TCtmJ/12bxBsnU+YsfmLscXevzu55rE4zrbtwumW5p2E9qNCOGFdIdNplsWIQTWQhRLZgNFbGJ6kU9vkLDSVZxcqHPlRS1+8ntWee+fBRxdaKJVlF4YmjiuMQolm+cCnn9Jl2su6vP00ZN87PY6tz48zalOnWagaPnQ9Cy+dsdaS5fOF6JaXWcAa9xFlxhBYiFOhPPPE0GYQJgIholgmMAwtsRxjInGzNWGvO5Vq7zzVT1eenXEVF0Txk1WOkEK6jIROWBnK+8oVAxHiu6gw8L9d24cjsWvX33tC+JzZ0//kfbrzM5M/+0E+Gg0ZHa6+eYnn3z0t+75xp3tYb9HvaYRY4PFIhGpBWhRsXMtfGnxE0FdCQaJYKACBrHHuXGNz97f5M6nBrzwq33+r+/tccWOLhunFe2GJowcQ8RxAfIkA7iRGCux1kkCmweUaapfWZcs0jGBH+OpkO4wYqEb8V8/VePwuRke2TONNT5zdcHGDZYNU4K5tmJu2mPTnGTzXMy2+QFz0yt8+VHDw89Mc812wUxL0mpI2g1Dsx4ivDFBoNHKvb+1kCQyndUSERtBb2jo9S3LXY8zS21uuqzPi65c5aNfrVFfVmgZOUBaTZz4hJHr8dwwXeMFF/d5wSV9Hnz5KY4uSP741mnOrTY4sRTgK0nTE/iZDJMu8MyJPJMqOCaPrSA2EBknI0exi5dIYogjpBqzdWbINTvd+bjhioR2XRPHTTq9gHHkE8eZFElZO1ZEkUoBLnNbchQ5Qup0utx+++1z40j+1nXXX7cyHA4/853E5HcM4E89vY/ZuU3q05/680sOHzrYXlldxfMUiUkwngOZxCKlQMu01iOxREqgY4ufQJBYGkowVIKBDhgmHkthnVsfnuKeZ4Y0gzH/4PUdts/F7No65KaremjhWsSEcHLFZSVdrbS1JebGWZBKOM/cEoOMefqw5KG9ms8/0OLpYy3CuEFLK+brltmmZaZhnQ/e1sxOaeamBZtnY7bOD9kyv8KdT435/c9vZMu0Zr4N7aai3RS0GjH1YMw9zypGocZrOlBZKwhjSU0rrts95P4np13h0zBhteuxuBpwdnGGn3zDWU4sLnH/Y/N4EhARBlIAeYxDSX+omWnVmG43edHuAS+/ZsAPvGKBvccNX3igxgN76zx7qEksNOOxYhApVF7fUw4805yANcTGYo3BEwlTfkiNiBdd3+fCLSO2b4h412vH1H1Js+4Rhg06PcfWDtCek4yVu3R2ZCRTNk8tydDFSyDp9To8cP/d7aWlM5e87W3vUGdOHkg2b/vOdO5/RwD+zDPPsG3bBv+++x780aWV8X85cuycSxkL6xyKlEXzOhNpnS2XOJBr6TSfl4K8pgSNRDA2MEo8honHIKnR6yX8+kdnsHHEpvkRV+4YMTcV8/ZXDtmxMSSKRKq3JZSYm/x9DUIKPnlHnScONhFac/RUg5NnG9TqiqlAMN20tGuGdg1adcFUQ9FuKWZamrlp2DAds2luxLaNXRK7yie/0WbYb3Lpdku7oWg1JK26oVWL8byQL99fYzyQeBtdt2gmUZp1xeteOOSuRw39saQ/TOgONKs9zZmlBldc2OLtL+3yyNMNji63UNIAUaqXPaJEMY5cYqY/0nT6Pq16g2Z9zBXbR9x42Yjj5zocOb2K9hIeP6T5xO0NhHKFa0zOH7QGMGAtUZiwc1PMO185ZEM74bKdlk1zkMQe47BFHHusdD3iSBElOo2DHKAzgLuYSOaBfw702LleUezOubVQCzRJtELDj//LnqceHszOX/ih/c/uDS/dffnfDoCfOX2C1ZXF3ceOn/jtxx97WKr0IArhAh1rpWNQYZw3mzK4ShzIPeV8WC9xGjAwllpiXZBjLGEiGBvJOJGExiMysNBvc/sTBkvCXz7gRjZgTXrPsnipRZZXJEqkUsSRRhqNpyWtAC6ctzQ9QyMwNAJoBIJmXdKqOzk01ZLMtGFuKmZ+ZszW+R4JK/zXv6hx95MbuXgOZhopezckrXpMox7SbAyp1xsESqJkqsFxciCKPEZDwXCc0Bsr+iNDb2hcy1zT58TZKV5y5Zh/+o6zvO8TmmOrAUIYrI0wiSWKXVnxaOzKWFtDTbPm06jXaAQNakFEqx7y/EtDfC/ihktj3vWqAVrFaRLIIIStivJU0hkjEUISeArwGY01Syva1e0kWcyTysIUyHHiQB3nAX/hbMWxyJ+Hme+evmasO0dxbLn/gYflcKx+e+PK8BthOHrqO4HN/88Av/uOTzM9LeuHD+9/65GDB0Wr6WGMa6VyB09CCm4hpKsxUaASnA5X7krWiet9jLOIPhHExhaRvXH60N0FoZHEVpIYTWQCktT2Kt/yLKUALZw08hTU6paattRUQuBBoKHmW+qBoO5LGnVJo6YdwJuC6ZZhth0zNz1m42yfrRuX+P3PGz5y6yYumFZsaBnaTUWroWg2oFFPaNUjTi8ZDp4OqPnugoZUDhjBKNRcuNmwecOI7shnOLIpi0tWe5pWvUarMc27XnWOQ6fP8P7PbENLjcWQmITYWKJYMw4Vw9AVRQ1qksZIUw886kFCp+diDN9L8HSC5yVo6RolpEyK7LFI61bcEUtBLugYmTpRLq5JEokxktgU8U6cCJLEAdolj9JMaVIAO7tHOdDT85uQnnPndIUR3PfgY2Lnru5bL7hg58E/+dNPDt/197/3uQX40dPCNyfO/tywc+7nkngsfU8SJyAT4cCcNigIKZ00ERZlLFpaYpmBmdyzdnaV82STLOtmXK12nmZPK+WclyvyQKmsuYE0k+cCKy0NWpLWtICnBJ62zjfWglogqfmSeqCo1xStuqTVsEw1E6ZbMbPtMRtmBuzYtMQDz4756B1bmakFbGoZ2g3hwF2XNGuGZi2m1RjzwD54fG+DS+ZtvqJlafPhWHHDZZZLdwx58KlpBmPLcJTQH+oU5B6NWp16bZrve9kyjz97jvv3bAarMCYhMWm2NrJ54DYcaxojS72mqPmGwPcI/IRAG7RO8LRBK5OXQUjpzg/CIoq2klJwLtJhSqkjZTL7tWTFZsA2Igd7liVNTBXgcbpCx7EDdVI57xZjBKPRUC4tnv23l+5q+9svbv4KED5nAB8MBnIwHP77D//RR/7l4tkzfqOmkdL9USNAGIE0IKVEJpZEurtKLLFyj4lxOjxJWd+kBybJs484dk5BbtJMXJassNZSyrxXVtwsVZ0ldJRMM5aKUtGWy/4FvqIWKOqBoFEXtOqWdiNhqhkz3RozNzVk6/wK9+8b8u//cBPHTkxz0QbDdAPadUWzrmjWoFlLqNcifG9EZ+SqIT3lguvs5k68JIp92vWIQWwYjN3+PINRQm8g6dQVjV5ALWixa3PEL/9oh3/3Ycl9ezZhURhrSBJDnMSEsSnst0BSHytqviTwLYGvCLTB85zfr1Va56NsTjikzRIVekhT+zYlEZvWsiQp4BNTPDqAyvRRpIAvPY/dqpuUGDsDdWLAJEWjhudLOivn/KWl6X9900te441Gw1+s1ep/5XT+Xxng3W6XOI5+5f777vnnSwunap5WRQJFOkDKdOmRRqCkJTbOIkwycKs0k6ZsztLG2DyNbHKPFqyxros8LQEt35kAeBbMigzcwoFbKSeJdNqK5mlJ4LsBQLXAjWSoB5ZmzdBqJLQbEVOtkNn2kK3zq9y/d8C/+9AG9h2bZeesc1hadUmzIR171y2NWkKjFhElIX/y1RZSKTxpUaKwCY3NlnKPH3rNCl95OKQXBgxSgPeHil5f0Qk0NT8g8NpcdkHMf/xHS/zShwT3PrUJYyWJcWn1KHaFZuPQMK65ctcgENQ8QeC7zKavbZ6x1coglfPGXVlyCeBFyhNISQSXS3BuSxrIZwBOpw6YPLlGyu7kK+55gW1sfs6tSd9UCIRS7Nt/ojZz9z3/4mUve7no93o/32y1/mYBfvLEYay1L9q/7/F6zYvRWubJBGvdkCmVglOlX1QlogrqxGJUAewyQxtTXNUO6MLVUWSgzg78xOfKAJ7VYGSZvIy9tc7qTiSeJ139hi+oBW7mSSNIaNYduNvNkOn2kPnpDg/sHfDvPzjL00c3sH1GMNcsSZOapllz9Sv1Wkw9CPG8MSeXZvCUQEmT2nJFkJkkkjhWbJmxxHFEN6rlnTHDUUJvJKkPFDXfw/dqeHqKy7fH/Md/uMC/+QO4/5mNJEY6gCeWKE5SJjeMA0MtlIx8lUswzwNPO4nm6lSceyUzbzx9XAfjTq6QJoUQeXLIpMmhLFucJKWkUanexSSZDHXnz5UHlMBdLqPASZVxOOSBBx+ub9l6wYuklPxVb38lgD90361IosYD933VF6ZDuyEqEbk1BVNVmFi5q9tI4b6gLr5sAeayDCn+LTsIOXOf57PlrW5ZD6cUObiVlGmjRCZPoOZB4BvqNUs9cPq5UY9oN0Kmm0M2zHR4eP+IX/rADE8enWfrtGK+aZiqC1o1SaOmaNQF9Zq7OFyqP+T+PYL+yKemSC8yp8GzJoTECKJY06wpbrqqxwNPtxlETqYMxwmDoaIXKAJf4Xt+qp+nueICw6/9+Dl+9vfg3j0biYwkMiZtli56MMe+JPCNY2+vqKPXKruTypRCxsk0y7seyLOkkM0Anp7nJHdeqK68mbRMJgjMZL2vNi8RKM6rzcqEHImeXubPP/lZ/03f/brGpz/zxcFb3vyGv36Anz11jNn57dMP3vPp3xUMX1b3Y8ClxKGQDS44sSWZkZZqqtIVb8AosT5rlwBtygegoJWq7hauoEjIFNxpkZHKAe4amT3tmMz3cJ1AflpgFSTUU3nRqo+Zag2ZaXV57MCYX/rADI8f2cjmac18wzBVh2ZN0KwrGnVFI2fvhFoQ02qMuPNxn9VOjZmZIk2eAcak2jRKFBvnFK96Xp87HzKuiybtcXQgl9Q8Sc3TeNpH6zpSGq64wPKrP36On/09y737NhIZTZRWALqyV8fkQSTz6kJfS7ROi7CkQOns2JB/vuwizKSKKMHNslYaFnFQxuilx/zc25L0tGtX5pTQKn8Xd66TJEF5g5ftP3D4D374XW/7qUOHj6xedOGuv16AD/snicbnfra/evj7bbRAs67TDylKwKa0jGW6rVSmWbriM/mR5DKEnL0rgeQkc6dIzzJyufaWWQVdobuzikGtcPUZ2uJ5lsB3k2JrfkK9FtOoRTRrY1qNEbNTHR55dszP/d4GHju0iY3THhsbCVMNm4I7Ze+apB449q8FMY0gJDZjemGAUBIvY/Bcg4v0gk/94sij6Y9cuUBYYyYD+Shh4DsGD3yJpzWezjagtVy9y/LenzrLv/odw717NxEZzTgRhIlJWVxQiwyBZ/E917uq07hDK1cirKQsel6zBu9S/OKGmFYOd16wVgZ3TkIlYsrA/c1Anf2OrVwcNj/PxsCRE4vUm4e//857HjsYhtG/+Wtl8FH/MEFj+859D//eNR5HmJkyxElSFDelQUdmhSV5J4lNHzMw29KVLvIDlZjqClBc1UVWsrC6bcHa5aAyW27TDh2VBlNap4VeaRFSVj1Y85JUN0fUa2Nm2gOmmj3u3xPz87+/gUcPbWJ+SjNfT5iqWVopuOs1Zydm4K4HCTU/pt0M2XPEcscjTXwp8ZRJg7jCo8gC5yhRxEZzy/MjLrmoz8FjdeYbFH2O44TBKGVhrdDay7uchLBctRN+7ScW+Te/Z/jG0/OMorpLhsWWRlrDHXg4kOts9TJ5b6tUSb7CKSlKABclkLNGrxQgt1WA52AtVt4cxDmbk/9OfhFMADz72c1elDy25xTWe+ia//SLP7Hz6WdPHL1q9/bvPMDH/eMob2ZX99xdv6HFmTfXvRVEo04UWWfyx84LNUZOsHTmo9qJx+qSVthRpci97JKscUtS5p4Ed5ZIyrKlMp2fkjK3rw2eZwg8Q+DH1PyYWhDSqI2ZnRqw0htw11Pwa3+6mScObGBDCu7puqVVFzRrIvfKnfNiHHv7DuD1YEyYJIyGNWrKXWRSlJZ+Ms0q0kBTOy2vx+lcEVECuMH3E3xP43kSrRRKejnAEXDthYJf+6kVfv3PYu7dO8epTptRUzKdWFqxpZZOHAg8m3r/mZNic/bOpEoG8Pzzph+6jPMiFHQnpSwpCiYuJGVxbm1VvmQXRgn4ZdcsMVlduqCzMqR5fPXNf/GF+5I33HLNv3j20Kkjuy/a+p0FeDTcTxI2bhx1H39rPHySeq2FkKFrDo4licqyXbbC5jmgTSFfchljRenqFlUtNgHw7BCXVWF2Ety4h4y9bVEKkA8HcmWxnjbpmIkkB3fgp+Ce7bOwMuRX/6TBZ+6bZ7E/w/yUZL6WgrvmdHcjDSzrgaQR2JTBnfauBSEQcttjPiuRz1xApR4bUV2hksQ1P7QDzSuvH3D/vpBeFDCVd6wb/LGrVfe1A7hWFiU9hHQJGixcfoHkff9Xly/cP+RXPriJE4szDKc1076gFRsaMQSRG73sKzfQyMsCTSnyIDh7LAfq5QtTiLxXJD8/MCEhM2BXmL2k1Y1dq9fT368k9tJS3TCG0GjueOggm7Zufmtrqvknnd7wyHeUwa3tAO1Lo87n/pkMv0EtsEjhSjiltGiZ1mOnDa0mT/Fm7C0qcqRgapHXa1tsYUNNsnZZlqQHOmOWLN2cuQAqA7hy2VKdZu88nfZ3egm+F1PzIwI/olUfovWAOx9P+IMvtvn83RsJTZuNbcGGmpMlzgLMfHKV3kXK3GX2jtB6zD3PTDMINVsa2eeZZPAsyHYVdjVP8aIrhsTGAXwYueaQcda5PjYuONQiZXF33EWaXLcINkwLvv8VfVrBKT74xSF3PTPHmajOoCZpx5amtg7kOo1DlE3jEpuCPDuGoqgdlyApWHxyykMuVbIRFUxq83L3UDUYzfR6HqelgM9KMeKUvUcxDGLJCM0nbnuc66++8J/94+9/+aOvWhjs3zL/rUfCfUuAP/TMCY4e+BMiO7+1JR99eVsfJQnmAYVNgxAlLDKRqESipUtAJFZikkyKyAp7Zye4orXJgF4Gdsl6KNtXwk5Ikywr5yoG3Wg3k9Z8p+BWrhYj8CJ8P6LmhTQaI3x/wJ/eqnnPH23k4MIsXlBjc0swGyS0A0szgGbaYV8PXLazliaEXP1Kkq4ETp4sdhP6oY+vFL60eYBJ6atkF3ZWuxHGHnVvxObpIauDFsNIpOPWXKzgeUlq86nU7lQO4JXA1VU+vvmlfW64coFf++MRH/nyPMtxk0Hg0fQkbe1qcAINviJvhtBZ0idd+WQuVYoEUJlUqmKlDHTWXYFzwJdBPeG85EmhVHtnDRfDWNCJYWShf/wUTz1178s/d+vS1mOnV/aHg4P4jYv/vwE8jg3x1Lt23XbPY7//uS8e4ue+X3HNRemgHuu+qBQGKRWJUrlESRKDUTL9EiZncps9Zv5pfkCKoBIr1vW5BbZgE5kN4iwPCbIoadyqkjN3koI8xtdOkgT+mMAbcuRszPu/0OTT35jj0NkZ2g2P2RrMBAmtwKap9wzcMgW3zJNCtVR7B767cNrNMZ+6R7P/aJ1aOoErbxejQHk+xsGmhUqx5vKd8MYbevzBl+boNzTtdPZIEKZxgzIumaYyZygDuVeiVLcq7Ngg+fkfHHDNhSf4vc/PcujMFMtxnYGnaSpBIwW6L627cFKXKV/9suOa2Yc4fV5kOu1anzwjpqx0wq6Npaq6u1RLlMkSS15UF6W9u/1YMIghGcVcf8WAv/eib3DLC6/9fd148+tNvPQtpco3Bbi1A6DOF+94ePs99++7+K57E555iccNV0R4Qw9rXYbJBXZpgZR0B9ko6YBty8BmAuQl9rYiZ4H8YOW0bSs6MAO2EOVRyg7czjXJ2DvB07Hr3NExQTDG12N6Schvf9zng1/YzMmlaYyqMzulmPUtU76hkTJ3I0/fy7ROJZUmqXeeg9t32ctxFLL/REA/DJgJUhcnSzplrkSWhbWlmpRI025qLtweooIRvbDF0BfUIzfQ0k/llZdKFJ25HkKdJ3hVzE8N+Mk3D3jrLWf44Be6vP+TcywOmwx1jZpWNLSgrixBbB2bZzX6sihvyLKca5icdeTKpMNClckLcIuKXEmyx4y9bdoLalybXC8RRMZAGPG8iyKu2bnCYOXpi+PBhu0bt914pNsPaTf9vxrAe6uLNBvt+St3mI/b0Ze9lzy/z01XRCSxh1IxOmVwISwiccBKpGsXS5IMxLKkwzNQlyvWCvbOgsh1LrWSHWhzYFfkiUyr5FQ6V0UnaJXgexE1P8T3QjqjkHuekPzprW0++Y05RkkL3/eZ8wXTvqHpWxqBpeEX4K4FkiCQBKk0cYmh1JlIAe57LvN5+LTlrocbhJFH0LRrAszslqe5U9cpjBSep3nVDT0++rU++040GdbcvJexZ/Fj8CKDFxqUks63lm76bj7ch2JFTIyLhxqBZtP0kH/1fQOu2DHmI7e2eGjPFAvDJiPl43mamhbUJQRZv2xmr0rr8gmCEsirNSuTxVllRs9X5BKDl/V4hb2tc90SC1HWMmfc5IXQWDAR6IR7nwm4d6/P4uo93vNvfPXHE91/3nDYWfgrM3irNSNPnTxw45kjd0z9mx9cpVEbMD/jIlulEge79EsraVxBfApwo6plloXeLt0zYFdAnjJEicBxPTqOyfOUssnLPZ3utmiVOICrJJcjWkd0+hF3PyX4wy+1ufWRKZY7LWS9RquumPYsbd/Q8CwN31L3SVnbMXc9kNR8Rc0X1HzSCj2TgtsQeE5/Kz3m2RNwslNziZVU31YTJ0X9jOuDdCCPjSQMNZvagksvGPLksZhB5DFOZ3z7IWmzdpJKlCxRA3KiMye7eDIbMkpcffg7XzXktS9c4euP9vjwl9s8tKfNUq9BR/r0fY2vBL4UBBLXwyndLnVKFBepEmnZ7zoMvrZ+pXzhVXMbSZbIyYCdMndsBaGB0AhC68qmMTHYBLRl34k6P/nrNYyo8aPHvjH1jjfJG6+47JIv8U2GB31TgA96x4NmbfQ7s/U9zVbdo93UxEmEFAZkQsa5UhiMcV0iKgd12hdp5FpgZ+xNEUja/P9KR64iTSzlAn0nS0yquQ1KJm4gfuZmyIiFXsydD2u+eHeLz9w1xbluE1Gr4bU82hqmPNfJU/dIZQfUfZHeZVpymupuXxBk7J0BXMf4fkzND7E24rZHAo6errNhVuDJrHtJFI2+JbazplxuqhiOPXZuErzq+gGfvi+kH3kMI0HNs/ixY/FxZEurlMr9aoSsyBSbr5ypdWuc314PxrzzFUO+64Yl/vIbPb5wd4M7n2hxrtNgKHyGvkZ7Ci0EnhR4UuIJm0oti0KUpGHVPlyHzNcGm1n5LYUsccBOpYlNf3bWmitksVEKcgNKsNAN8P06t95/vPldrzS/8+zRM1cAw78SwBv6TqzsUtvyLFgBRAiMazOSWZeOQRqDsQkqyXYczlhbVvU2VYBn3SN2jTAR1YCyBGzX9uZWDJECXOsEX0fUahGjccK+k3DklOJjX53iSw+1ObfSBK+Gbns0lKTlWVraUPcsdQ9qngN3zXMzCV2ZqSzdRfrvNgW5yUHue6497eApw5OHA/C8dJm3pRS9qKCgrEuTJK2ZTtw456svHHPl9j57TzYY1gSNWBBElrEitfZMyt6Zm5JZkIVWKQrd0njIqHT6gMco9KjXx/zI68a86aZVvvJwnz//WoMjp2rsPdkgXA2IA81Ia6RyU30VoNPHjMlz6UIR/E/eyvFVBmqTPo9LGjzrxjJkwE5Z2yZgs+dFK2I4hL17h3ziK48zPd38ZhA+P8D3HzkqnjnV/2e33/WfN5iR4IZLI15wWYjSFs8DG8VEoUJKN47LGImRKmePbOZ2tkmrSQFeNAMXXe8TnWYpFmxJ87mkhpMkJt3lISEI3CTVOEk4swRfvV1z8ESdOx6oc3KlzsFTTQgCVENT04qmtjS1cS6CZwm0ddWEHimIs7tM7yoFOKnmTsHtJQSeY293YYUcXoA9Rxp4smoP5hKFUilxFnRlTorJeho9rtw55NKNA546FDOIPVqRYKzBj91MQFUCuNsQQFaYHCYsuEwGZX2TiSJKPMaeT7se8kOvGfPSa7qcXOly24M+h44HfOWRBqeWaiRDDyM1ka8QUrqVIu3Kl6QZT8hlCxMLcLmk2ZZkiXu0qeOSCfQUxGTMnQCJex4ZiCzCM0gd8sLLV7nh4jEXbLh9w4//0P/vn/3yTx96b3v6onXDt/MC/I8+cQ9RHH//H346aHZ7W7lwU5+rLxzx8htGXHFhzLaZhEsujPFtTBLJFNQO6NnyaFJAGyNz6y9nbkTJY8qCyyyAsRPMXZIiKsELEqLEcui44MlDiq8+0OCpwz7PHK7THQeMwwA8H9X2CJSgoaChDfWSDxzorE4jK5t1deFBKkt8X+H7Mr0AbKG9vcRlFj2n82t+hDUhZ5clYxugtcSXFl2y2SYIPAd5Yqv9jmHsIdDMz4ZINaIfeQy0cE5HVBSMaWUqGUiZmdQA2bAjCnmYtZZlg5G8ROXjJwZjn80zITs2RTz/ojHDcMg/ONzhqSM+X72/xpOHaxw6ViOKFQQKKxUISSJL2aByMn8C4JXsVv6Y+cFpVR7WAZm0oNwmeTGKxnDxroitszFXXBRxywvGXL0rZse8ojtYaIar93x/1NHv/Z9i8Du/8VlOne2rP//sIdEf+XTCFo8fFDx5wOcrDzSY0gk7Loi4+vKI19ww5pXXhYBrbK03bDrrW4CRJFHB4rbM2lSDI1c75b68kK5uBGEQ0hKFlsHIMfqRE5I/uzVgECkee6bGgeMBi32fceKD9kF5qLbCl4K6goay1BRunJlKC4+UY23fEy7pUQa3J/FTWRL4EPikrolLmXva4HtxmhGNqNdCzq0kfPXeFp1ewMyUQKdefFb0Jc63fJdqdRIjGY8VG+YUr71pxFceGnKs02ToSSdTNHixxYsyzzr12GXi7ELKs05k/h7G6tJ7OKD7iSLRithzYx+iyHNWqhfR9CNeenXMi64Y85aXj3j2uOTxPR7DUPGRrzY4fMYDIRkMNUmosvJNrM6W3gnLqALwzAc2+c8iNghjselEhHojwfMMAsMrrx/zmhvGXHV5xM7tMVPasqENJJrhOGAgAhbOHBV9rlB33PGX8S23/L1vn8G3bGr89vJw5dpeFLrWHF9ijGahJ1kwlsPLPvc+afn4VxPmZxKsNVy/O+Kdrx45PzyB+SnDdVdHNGvWjU+zIs+BrT3nIh/O0xkIHn9Cs9SV1GuSB/Z4fO4bNUaRYhQpTp/xMUITWQ8jPNAaEWi0lPhKUJOWWgrsQFkCZV0NuE49X10wt5/1ZebgVmmPpsjZ2/cMvp8VaCU5e/t+hFIhtz+q+PR9LZSvnd1W0d/nZ/DMC0/yznTFaOTxppuHfOaeLh+5bYp+XKOZ6nAv0+FRlpSxebeQEDIHmHsrWdL6JYCbdLSDdkzuaUWsNTpO0j2BEpRyg/RnajE3XxZz02URVox5+ysGjCJXI/LZbwQ8uMenHggWu4rHn/LpDmSqksS6Z7hIArg0frNmuO55ERumE9f4klje+eoh1+2OsAbmZxJmp9PVUKTzzUNFkmgSA77XJ4pOXht7N/w28JPfFoP3ewMazXr7wfv/9LK3vPyo2nfccOxs3cWYIl0jcSnXsbWcXbWcXXHLzLPHLJ+7ve20VWKZmjHceG1Iq+5qgteI7QmAk7oOq33FQ0/6dDsKqaWbiWK1Yyah3cY9UoPUSCnxpHBglpZAGnzpgOAr8FUxo8+BXBQND9o1AmSNx2VwO4ZPy2q9jMGT0j0m0BHWhpxc9AnHNYIpiZ+mvVV6UipZTEGhS22R0c27040ijDxmWooLNoT4YsQwDhjGgrp29mxWQ5IltJQsl7fK/L3ce6TxjzFFksWYtLy5kEZxnKR5A5XufxQTxQkqcrkErRKkjNm+waQrhuGKHSNCO0RqQ6cjeOhJzerAtS1OeLxrLQTr6sGbNcuLro2YmjHY2P039TTZ5AhAYRJBXJlSJkBYfD3m5MKIP7ttVl1/fXjZD33vO9rDXq9bn+jdXANwZU8SDvR7t7UOvOKHXnOOhSXFr31IM9Y+SFW6OgtLP/P4YiydbCmSlu6q5fTtzervrgdsqCxvVghMtuUCac2pUEWQI2VqZWWgTtPOknTjVoohn6oAt6ddR73beo8c3K6tS+Gn4PY1eYmpY/CUxbXBT7OjnhcRBBHHFw1//JUmaB9PiiLAzOWJWMPg5UxfNiTUgc0N1gkjj3e9dshf3jnkmbMt+olHI3ab0roqQFt04qgsJ1AK9rJjmdeAyFKBV3Y3eS2M1govcfNSvBToShZJM1c3nj4XJh0clKCFRdiEDQ3Dd7/EgEhSmQkIM4GT8vcvF+YoTKTJ4rIkdoB2/ywqZRu5AJMGdMRHvtrgf3zU57vPnX7FC6498d4oSn76WzL4Qw9/DIv0d0w9zlI/4iv3N4lEBjCdFYGsXXoKI7vQW1gSr/x69n9ljZaxWwbwavAipMxb0JQAT7i0ciBctaAn3c9aktZUpN3jWSGRpjQHhXRntqKrvgC4zGVL4Nu8pc33TWlwToyXsrevI6QMOXpGsNCtIbQmkFTkiSx/rdLpLkuHCvBSpyOMPebaY3ZuHrL3zJhhohklECQCL7F46cAkFZM7S0UKXVU6FbJD7uzbrO5alKSRQSeGREmUzrYvV2mxWoJUJl0pTGHNpiAX2Xtj8u1nMtcrj6dEcf7LXv3kq+XCumwAUbl0w3237O/GeEbwupvGvP8LPfYffZYv3PYJP47XXkxrAP6BT+8HBDNen/6oyeMH2hgdgPSdLMii5nUwXgX8N5MjlU/tltXsTwq3L2YGEDeVCjxh8UQK2lQCZM/z11KyL0pByRtsfSUc2Cvglu7Rz4CeBZ8puLPuH21yieJpp099PyIm4gv31Dm7UMebUvjlGo6yg8LE4aqkrsVEEKgYjd0E2ze8uM89T4zoxjUGWlOPDWGaTleyKIjKCs5cXiJ7pyzQFFRS5CadqWIhUe49tRHESqATme5i52p54hToRTLN5Ak2KU0p8ZY+lwW4M2t3vQKtNZC3k/9a4kkoXbzugsouhmsvDvmlHz5LIla5eue5NZPN1gB86fSfMDvdeMl73/+VG/7bh9ocX6hBywftgXBeqEhLZP/qjfzkXy3zhmX6qLJHYdGQW20qTRm7+SaFxlUZsKXbTz4bhVAGdj4HReH6EdcDeBZwZrpbZ7LEpnq7WkvuexG+F3KmY3jkQB20j07liS4VKGXZPjGBcOcmlaru8lY+mXviUeRx/SVj5qaHdFYaDGJFQ4EXu++iEjdbRkVlgONAnr+RnKjUFGnJalofpAyJEXhGuIYVZUiUIE5BXi5ey8ohZAbyEqizkgmBSUFOWtJcTMwqFv1vIlkmXy5hhbz2yOS5F08rfvqtY04t97n1oV039NQ7XvI7f/LOu//xu96+PsC/+nCdeqC++76n5q47ORzBdB0hFVLInEnzLBasa399S2CnCiUVIynDFX+zAIfNGXyyhFNntRFpDXhW6umai7NOFSdLVN69UgA7a7517J1qbk2utzNL0DF2AW4vr06MEER8/hsB9zzVQgYaXwo3fzuvICza6IqKv8lspsirLU0+A1CRGMVw5HHTVUPe+NIe7/98izAJ6CeSWmIZp7PVdXnFSMfjiUyu5G91PiYHo2U+Mi0Dd6IkShnH6FKmoyWyHe9MCeAlYMtqGUUhU9LLWRQn/68AmfQCKVYH9xk0ceLmxOtkxAsuk9dFfu+7seHd5f8uB/i+AyfYMNN87X//49t+8N4nQjyvhdQZsG0K7rTgJjt0/xOftvyr5cxentChAENxAdl8UlbWZZIxt9uCJPuZlMHJ27AqLJ52w3iqCm43TmGCudOeTT9tb/N01nAQl+4RIRF/flubxAaoPHtZDjCLvsbM2ahocCba9YxrEHGz/ZwVJvB45ysH/MkXxqyaiGFSY5gIvJicxaW0yFjkRWfOLpysPZIla1KUQC5IdDqfRKUg1xZlnFxxE8hcBaPLHsu8NLmwKMvVnUUZc7aTxhod/s2Y/Hy4EUU5gCy/Xxr0CuEzW+tRmx3+YGvz99wx7B37Sr21owrw/jhGD8JLljuDiwe9LnN13zErdm3KufRhvy2Mlwtzyh86Y/L0C1Sbh6vPJzVnBvrybA+lRKHF04q7yrCbFNhaicJJye1A13HvGpNtytxFgKlL7B14IY8ckOw/VcMqDyUlvjTVFS61CXOHcFKApvdqO1+R9EkSRRR7XLw14sqL+tz3bJ1I+QxjQU2Cl1h0LFL5lnbhxKkORzq5UHlLUWJxUZJGWctY5q64epdsvJ5KpV8B7qwWyKZlAhmTk68eGbjzEotJJidL6n2b5CgKxZ7/bVENaI0Z4LV7FwtGlwjCr2T/bQ7wo6dWaHdHrPaG+AoaOtNVBVNPAvrbBbjIdEkRH1cK58s6vLysq1x3FbZbIVmE654XBbhdkCnybnGdg1tWAF4e/uO67cmBnWcrc+ZO8LVL7LiuoAhLxCdua7C0VEcE2vnu5YtwDSGUru5yE4CpsmrFmzZu06YNs5J3vKrHIwfajJMaA+VTT5wWz8pZlSQFd7ZWmNQTzwpzAWSlLNlms2omplK5u0SZbEWy+XMHZFnR4iL93g5wcg2DF/Xj1crQHA/fBoByozDHWxXk7ngnWNPHhGcx8SD/b3OA/+ff/SxKSVaWV5ltuGGNWeBSNvbKo72+1TVYBnI5Tq64C+XHMqDLQM8nLxVNseWZgznAcxbP5IpE6SrAfZ0OAPKyrQPTDKe2eHkq3qTPk8pdK9e588xR+PitLcbSR0mVZi+rF+JkBvN8plPupJTcFJMyeJxogkTzjteM+MMvDXjiUJ1IeQykxE9M6h4JZGJLx8e69jJhS+9i0veq7ltUZvLEgM4tRDfxV6UlASqxxbDOdCKtyBqVBcQTenwN06YAL4iyipxvL5azFaIonmcjuut0FvcyHpxyaf8ywI8cPcnOHVsb//wX/seFj3TP4tXcyIXzvM+3fcvAm10g1XYnS0WiTARmVYkicuBMjkOWJcbOgsxsapPW2SavqfZWE+DO0vde1phs3MyQvEUs6+mM03uE8kL2n9T0Qh+UTuWJnSiPnbxwqwivDjSa8MLTbpwi8aNpeoLLto14Yn9IYgKGxqeWuJptnWpwJdxGri6xlIHBUPhd2UkvV3i6ehidDzZ1rykDiXSAV+nuFNIUEwKy6VpJ1t2fGwBFcJkHnhPnexLghT7/Vig/X4CavaoYxz5TaseFl7/wnzU6K/9qMDWz1QH8xMnTrKx2XnP5hXM/+9STY7x6OsahZGfnfDDRmnRecFe+QBXw5edCVoFQAFtUGFzmQWZ5qGYGcooaaVUCtaruYuwpUi/cgdsBuBgK5JXlSZm9VdrX6Ycs9wz//S9aLA1riMBz8kTayqpSDM755qetMk0gmxOTM7hzVOJY025o3v22Hl9/pM3S2CeUmqGU+KUNvSp+eLmeXhiyMlqLScFtXHRVcVZEyuA2D9IzsCspUgZ3kijJXRRymVLo8GLlL7R4Cury8/Ng5PzwXnvc3HMnMRLjEfcgmNn2s6dPPnt3HA3/ElIGf+rpPQSBz8kTx6npBKk84qQ6sCXTjfmbfTtMLlhX2jDBbgWTiwLkJTYsS5OsQyYHthRIVYwfUyVQaynRqSTROcAzzW3yoNLTJge3p7P6iyp7eyrC90M+dpvH0wfrID2klARZaWzJ2sz3iE+/5HmrCaGa8Cm1m5mUyd0mTx5XXzzgzS/t8odfqmF0wFD6BFLkSR8lBVEloKsyuSgzeal0uVwTYxQo61YFY4UDdzYlzECSz08RBcBLjw7cIs1oTrpjVRdl8udv51bgT1SOmzVuZ+vBMEacOMUo9IljtzGEBmjWfWq1gGbdoxa4skulylG2zeu3rQUrSpXs35SisuVZVIEu7JqBMhXPOA8sRcHmOUN+K4DLAuB5oicDuGvWyKSIpwq3xCsNByo0t2NvT7upVSsdw2dvb7HYCaCWuieiFIydR6KUv3+Zjta17TLL0EhMkrkpmpm24nteMeAz94xY6geESjNMZGpPitS9EUUztiwCsgzY2RQELJiczTMSE+jMWVHp83QjAyPdVODsuJdBLqQodd9nQzxTaVLR42JCroj1AS7suomf8qycIkgvitXiRDIKLWHiYQjyacd63779zM3O7Lr3/of+6ekzZ6j5GmNBpsMzbZoIqDDOOnUC1YKYkvZeR5Yg1huaKdb8nDG5EuRz8/KO8tLs73KHixvuThXc2c4GGXOrEnOvYfBs3EQxckIrl7k8fETw7NEahgAhdd6cW1QPluMHUXI1ijNZrkWhdDxtJWVfOCrGuGATq7l8Z8jFW0Ys7a1jE9+xeOJkii65OAV7lgu9UsGdldFC2gYmSsEnbnZ7CvRybKOMu2iMJNXe2XkpyCgHtxHpLJVMk4sJqVI+LmXc2ALxE7NxioFCJfY2mfsk0ikOmuWls2zfcdk/vfKaGx87cfzgER3GCYPReHMYJa89e26JWi3AGIs0oIzNv3A+mSg7VqWTtN5t0k4sAzxjtXIqO0uKVOWJKDkTohRsFoB2DE46Crjsg5fv6ZbWqgzuEsjT/eq9tDQ0Y2+V/qx1hFIRX7ivxf7FOviFPPFK1uVayfXNV7jqmLOiKbsYfVdo8TDUXLQh5A03DXjwmQYYjzhxWtxL0uxuUpVKBXMWtlwWeLqxaqIINrPnMn0u01VFZnd37JN0xZAiZXWTrbC2RFS2dJGX8xuWNat5JQEkznOcJgjWVFe9jBSslQz7y0iRvNbE4WZhkyM6O9BCkPvGRoI05Smw6TBFWRppnF5x37zCW+RgL9h7LaiznycDtAzQYh1g52yuRKkJtwTudD5hsW0Ha4GtiwFB+Yg3bVKQx06eqIh6I+S+fYq/vL3JcORDQ6OlwBNVaTL5+cvfdd0Tl4O8dMLsRMInBXkUa6ZamrfcMuJL9wx4YJ+PbXoMkwBfkF9oKn//QgdXvSwH8rIn4YLP9AJTjs0T6fS4KbF2FtSbbOsTI0r6W5QC3cI8yJ5DmviiGnxSkqrrHZ8Mn5SOVZm9syRVlixzszHBWoOxFi1xncuehlbddVInxri0sUin70uR6/F8kmj64c7H4mUwl9mbCVBXmHvieS5FRAFqqUq7NyiR1qYU4C5AnpXNWrQuRijrdBMmrapA93K2dnelXIDp+yFRmPClexs8c6wBnoeQKgVVOjekFFwKWWXxNd8/PXPF6AxbYqXSsNKsr7VkF4ah5oodMa97cZ/Hj9QZxz6J9BgahZ8w8VkyL5wJBhdVYsqcMpUByGCUQGWsKQVWgbSFHs9X1JQI83NjilUjH/smQJiJ1XsdwjvfSleVciX2Tl2nykZXRjAaCXoDw2AUMxzG6PvvuRWtNcsrXVoNP914VZJIi0iKXRiEAJkva4WTkjF5/lD6tGXnZDJzWWHuMmtngWUlwCx2ICikSckqzBk7A3gxOTWXKClzO8a2OVPr/LF47qXBpVYRgR/y1FHBV+5pMBj60PSQIqscpGQPrpPFLH3P0mWf16K4AyioDpKfSPiUCrDCyKPVCnndzWM+c+eIxw8FoH1GRuKnWlwZt8luIRNAJEAKPJIy2AtgW+tWvly6SMfm2aqSBfnGOrBLUyTahCm7Kem5NAWzV2Mr9/5rAF4CuSgDu4SzSlBe2hnE7eLmJtKGsebe+x7h4cf2YUyCPnFqESEEURSjU/NTCIOI3RsZAUkJ3MZmV31ZnpSXuxJz5aAuAF/IleoXF2U5kgeVkwzu9HY5m6lUWmGYVhS6dq70uS7PB58Ad3r3sim0aYG/VrG76wjPi4htwufvrnPXU3WoaZCuodkrlfBWSmPL9/IP52Gn6jRWke9GnjkqiZEVoI9HHi+/esAbXjLg6aM14tjDCsVQaLyE/DOJpGDx4iOsz+TlIfZKpRJAOjZ3P7utIDMdnvv9GaNnq23K4AV7T5zjUsC5lsWrG1AVeBITAC/PmSdn7jiGKHGTCsKwT2LGWGvRxmYNB64hAJOVVzqtltl62T6JIm8arZpQa+TJBGtnQF8D8FJbV3lngQqwK1KlnKYv3dMdCwqgl+662AQ1A7RXAnXmnDjHxD0qFeF7EY8dkXz8thbgg/QQQuVdRCpNW5ezrjlrl1eyPBopncKS01o9aaUS2kSkE3pFaZ94jbWad75yyFfvHfHQQTdJIDKKQSLyqk8pSFP4Il8v1qMia61j8TLQHbHnODAy3c8nC4oz7S1TNhfuMV9xM0mSj9rLLvhq+15eUiuKeO28RJARQA7yQn/H6TaFcQJxbPE8VzlqrEVvmnUAGo8FK13BOBRgBFal3nea4bXCfVlZlij5iSpMwvW0d/4FSu5CdekqATu9i5LnnQE8n5NXBnnamlZsNmVTsGcD8AtwV1i79Jg11mZSRakYz4uJkpg7Hqjz5IE6eB5IF1z6wpYmx5YDq+omTlXyrkLLlp7kDRCVjbxKwWbipvW6UlrNOPS46uIRL7/RsfgwcSw+Fj4jAzoRReCXZHahyyQWEsV9gGwE9hrrUoJV7nwr64I2awXCCqwAaUUhVUrOV0V7i0y+lABfYW+xhgTXBXiZEEwZ4CWJYhy4h+OEURihlPtWevNcjFKCXj9hNLbEsSBOPVwpcC2SULKSCs4unsvKxynYayJlvUaaVB2T6h4xE/UngnzvnXz34qz5ttLwUGxdotQEuEtD8XP3RCUoXQJ4KlF8HbH/tODDX2oxjjxoeKk8IW9NU+VdgsvOScUuWmfdnWDwPOikSNdXi7AmtbimGUh++HUDPn9Xk30n3cWXGMUgUa7KMEmTPwinv5N0LMfESpKRUxngMjcTnCS01gWTVrpzZKVwADeiiJUyJs/itUnbNDuvFMeoLOPOrwcyri8dpxKDV3eJSHfEiBI3gQGL+tM/+rlNjbr5z6dOnr58cdUjjLPdzkqsnH6SSgJDZF9OFMwrS1o5S62X9LOrKc5+T6bWXjYOOH1UsmL5Td6zkQlljzt/1IXudg5KFdzlvXqKYqp09wcd5c0Mng5JZMgffq7Bn3xlGoIAVA2lNA1lqSubjqMgb3D2Sq1xRSa1nIiSFJNhqQSoRSxR2I7ZRSskaeNv0QuppEVYwwWbQ04uSh5+0idOG8ONUAjhSmmrCZbqKpqvKra8vojKqpJfiLZiJRTODxPSxqYDNqESX5SBWZFlVAFbnjpMuYygzNql3EGRnyleTxLDuZWYi666bvPzb775a/rWOzvTS0vm9U/vTzDWVaQZU8pMppecrB6PNZnMSlBZFiyVq1WsI0nKGjxd6sqsXakDtxXtLXMwFJJElbS3ynd6KG1EpeyEJMkqBTP2jvB0xLOnJB/9esM1WkvH3nnnfvb+gsp44aIFrxpoivIPlgp7F/ZXuTakmCto0wm9iUmHmiZuJ4040dhE832vGvDpOxrsOeGBDLFCMko8NGm9SHask/RsJVniJ4NqSTpZ97PN+C/9bDIFkrTObJBW5LpbWvce1mT5EydvzBr3hKK4rnLRUbnoJn8u4y1faaheMEI4QvCFQDY9dmnDpZtGr5/3Tk/rZj1hXE+wNmG5E+NrUTohxYmy2TtnbzSx7JYtwQLo7g/kwyErIJ9M6lT1W2WL6TSZUN5HptDgxVaB2c5qagLcbiKrSR+dHaiUQWV+t4pRMnZD/VVMomI+d3eTPfsL7S2FdN533kEzcfJKF3L1Z0HpkKxZiCcbkCueeGkilTbC1abIIoUfRporLhnzppf0OfjRgDBxoz0SoRkKgU5S+44s0M0cFUGZj/MQONUB1gqUKzpyP0v3GVWZiYUtUvwCjHTAN6KwEMtS1GTPDWuky6QpMfm8fCvnXcpd90qmTSxNwclzloWlMbEdob/yKCycszz7TMy2uRjqCk+5DKEoUXL+fud54+qHE/lr2Res/MxEIqD8KCcBXrB29nPG2hnYM+bOga7KTF7obpUFkdkWJ9KgZTE0X6kEz4s4dFrxPz7VZiQ9sglaRdd8uoKUa6BLJ6t6pZ//Vl2+09gmz9SValNKqftyfUpiNHHiESQxP/3WPn9xR4ODpzSoCIwmEh5DIVBJUc0ny8HmBMgzb94COrvg0tekdel5i01ZO/PETYXNbfo+Rrr/prIyTxoL2aEqs3kZQ9/GMSz/bgbwVt1w8zVDLr+8S3taowMr8a1E5INXimWrzLrf8k0mouM10iT9JJPAngR5vmnTBGtniZQquE0hUWSVwXXF307BXPG7S3fpWNzTId3Q8P7PtDl5LgClU2tQpvLEVnzv/Dnrs9LkPpPrAp3ykps1HpR7NDN9KfN73gwhFUms2TY/5sff3OPXPuzTiVxAYK1kbJSzDZPsc1iX1CjOcA7y4v/dv6gMC5acuVVerpEGoNIWDG5L5866/El2Xs065/q8fvikzP0mB2+NDZ0fVB9jWiRJG72hLbChYEPbjS0rB4rlD7H+m03YgudzS7IvUfFE12fuDNhFc3ExpTVn77TgvgB0icm1SRnd5NLEyRFTkioZY8f5o1YROoj45OcDfv8TbcbGc/JEqFye5E3FE5ZYRXfn311UjtO64C4ItGQVlkGfpextsVOdKaXwjdsKvKZjfvLtfZ496vPBzzktDopESEbGBZwyIWfwogArO6mF0Vu2Kx2oC8libcrmogjysnMksr1PS8fG5oFuUS5rJnBQMLhYH7BinaOY/XvqvRuc9IkNjELJuRWf6eWAsQnQs1OaJNJMtzW+r4v0a+pFl4RK9Y+vA+jyhysDOWfzdRi7qr/tGt1dBJnpFt3lLQNV2XUwJamSgbnE5LKoDsx1d/7oZg0ur8BffL3ByjgDtwO4J5321qIqTyqrTmaXTR6jiZNU1toZyDMLrFLVl+1GZsqltKU6cSlRRmGMmw8y5Se89dUDPn13g6WeAhmBUUQ4PT5ZXVi95M7P5C4PVCSFsvoUlQabpCzuAF1ibztZslCk7snkfU505eaMqqQ9H7lW2L90wRkDvViytOoucF1L911v1jVSqbXe5HpLbJaRXIe919VYWfBVak+rMmARtFW2ryvXeOSBZbnBoBpUZsNpCnAnlQAzCzKzfW50ib29Rsznb6/xwJN1TEl7u6aGTJ5U601kqSpuvYu5HKSvT+Ipe+aOQCFRJpshbDnotBJlC188Tjy0iXnR1SFvfOGAP/6CDyoEIbFCMDYaJYTbgiQLNEUB6km5kpdiWGfXZsyuZCGjrBRupIh1F7ex1b01bQb0kiS1qUwSQqR6PT0K5bbFzLdPP06OLVtljrytMz3GSfrfRzGEoWUwtvhj0OPIEMcWnc7JtunF+y1rvcsgpgrqNcBew96lrpMSYERl9omdcE9K23SXAC6VRacjxqRMHRNpU11dkiSZYyJLEkU69yTwIg4ek3z48y3O9Hy337V0g96VoNixYZ3Vp3oXFcBPsvfkrZLoKTH75GZdlU10S3XiSmaPbvuTTc2EH3ljn7ufDDh4VoKIAIVBMhKytImUOwcZqHPXrHzBlfk8z2am56HM5sI9FwKsdBeFe56COpMRWWa19P65nHM1IK6cVthcepDlYGymECzlh+I42vK1SZK4PEjgga77ENYEzbpr8YpNeV7HBNBLS+96AUL24UlBnb8Ga5i6qr9LzFhi7EnmXgPyfEb25PMk194Zi+tsHLCKUTJBp7ag70eME8PvfqzNXY/UXW+b1E57S+m6dkQxfyVvJsg+3+SqNcHk5UNXPSkZU07WgRTgqZbPlstoXbuZyRyVxBBLjYo1L39+yE+8s8u//12fcSxdBspI4tRVkUaUPptNQVT23lxLGqXP534Wpdgg7a63DtQmZXGLA7IUaWFe1rtZwoqdjFtKBJGRdE4WlFL7E8ydOpj553FyzpIYSxTFDEeGUWjQc1MWZQ0rbUNsLOPIVWYlpsgUlRav8zP2xIfNtGiZsdeVJt+MvUv7z7tU/YQ8kTZ/zW2bbUoSpXzP2DtJB0rGOYN7fsxtD3l8+q4G49CDus61d87eeWBL5b6GuUsozsFONVAvI7wUY5Z6XsvgBqtSRjfVWvHESKRxUiUDehxr6o2Yt758yK13DfnqQ8rZhkgQkkhohhSkQ+aNl+SKlZnHUkrhpyyZ16XINJspQKXfL/vcMpUfVtq8vdKUdHbG6BkWOA/YyyRZAXd2LNPx4zY9Zsa4befD2NLrxyx3Y3SQoDfMjAnkmO5syEo/28+lFARNrLRlbfnNPmBmS+U7/VKWJKVa5QlgO9Pepr2YtmoRqmLCkhIl7Z1PQjX585y1s7sqwK1TcPtexGrf8vm7G+w7XXPSRLiSWJFpb0FpgpRdA+58Fcov+lKi7Nswcp0XLnJLrnoXBbjXDAcqalSkVEiTII0mGmt2b45440v7PLDHpxOm6Vfj9HiIItsHQpJ645Uy2mLNsbjkTn5BSue2FM0QGZunUiVn8LSGXNiUsYs2Npu7Kun6IUskYTO55D6TFdV/c0Fs6ZiWVr/EWOLEMhonLHYSFjsGFRj0OBkxTgZYBniqvqbcZdLtktmHKoG9ytZrGbsaRa/nmpS35a4yeAZmqTIfvAguZQ7gEsjlRECZJXLKLop0nfKGhD/6Qp3f/1QLK7TzvSvsTaG95Tqfu8w4ony8zrOt3jonpsKSFf1djO2YbGUzWdreGEwiMdL54koaosRDKsNPvmXAgVMev/9pTRQXIDcIxkKiTDZIwk7QY3lpEc4OwS0COTZEmtLP2TzNbKYa36bn0paAnl0ExcyU9LLKEkJZw7RNmT79SGWHRcjSRViKGcqHOY4BGSO8GDyD/thtNZaXAoYLihsuV4SRKz801Yu54n6sTWhMBI6V311PntgKY5dHHRSjwQpA5xNNxVrHRGbgVpPypLpnvUr3nnEaPMLzIw6ckXz6jib9vgd1tZa985rvYtUpJ3jy787a51mA9K043BYaoCQHMi1eFBwZk9V7lICebZue7lGaJG6scBQltJoxb7llwJe+UefA6TT96gZUkwjBsPxJM3DbAuw2B3XaVkepRjyTJLJUWJW/RsUlqQBd2jQBVACdzE60VXafZHVXelsqIHNXRw5upQQ+glqged1VMa982Yjp6TH6lqsaLC61ePKpFqeXSnJiHRDnEoMyyL85sMuJnDzIxK4L9kyLZ8Mcy8FlObEjRXkwe+acmMp2G7IkS6RMHZOUybWOGUeGW+9v8vVH6244uPQcwCfYO7MtlRBVaZUfo2pRUYYb8a2QXSX0KtBLd2PS7GG+Y7Qr5He62xQyxUgSIVGJxAhFNNa8+rqQV79oyPEveoyN0+FpJRQxmrFwckOaNIQUwjGbKHafVjmEMkfFXStuoFSa0s90N5lr4kAtZVo7nuKhcFgKoGf6fdKNqpBjFivYAkuFVS3yphlPSxo1OHF2lsf2bWJ+fh59y01bV+94YPClU6vi79VFSKOm8TyZD5EXYgLc5wPwhKaueN+VxEgx6qsiS0qjv9awdg50U2jw0u4Dk/pb5en3pPQ8RkrXqSP9mDsf8nnPh6ZIrC6cE6kQQrp9gESRlq8yeDl+WJ+9v40kZoHsjAHXyBRbkSsGivjICIxYR5NL540Lo4ljg+8n/NyPdtl3QnPngxLjixSy7gtERjGkLKhsSZaso8lzLzxNvmWfV9qUwQvmzgLRjM3LmMmBnnX85FnvAui2dAFkE7Pcx3TTHspunCtBdoNVGzVLqxGjA/2lgdm6qu7YO9//+v0LBwcD8xOBjPB9mXari4rurJawlgqgyqWrqvi9ymsZC1bqSFL5oUq1JPnuYbb6WuVuioKq84C7LFV0JaHjei1PLAve8+Ep7n606cxS6drRkB5aCuoSAkm6yZVdW7tduad17/mQnOowoqzmXaqJhmkxcaxSxitKFew6xz9dAUskUm64WLPbgoUNczGBtjzwhM/qUE4sNTKfIl5UHFbZsXorBRvnvYmi0rQkvco2Y3F9i/yasuVETun3J/9mOWOelZMoJfGU27h3umW4+hLBJZtP/8is/8Q+vW3GAgaRXpUumrf5n6roZ1FiWrkOm8s0UyaL1/PHsoNSZnVZYsactddKEzmhuXMWX++uyoFlWgqbPk/8hA9/Zoq/vL2JrSkQyqFTaMfepX7Lor/xm3TM56tVpk3WPedrPHA78XPG5AWrV7vtJzt8jLQVLW6tKWpUhEIaQyI0cpjw1lcMeeaQx3s/oAmDuGSFCazxGKe1MyKVJyROGFuy+nD3KTMZokoSJgOnzWRLWp5LJltyfV3gwgqRYyH7dylEbi2WL16TyhNpXI050jk/lbbJ0jFODCyuBoxC5cZAz8+4ZdkkFqxCa1mMaRDrMHfFUSjJlIqFNjGvOmeXdRIlKbDFGpCXt8rI3BST+t5Fh0vO4DIpOSllcCfIUu3JVx8M+NAXm4ySdAq+yKxBt4mpL2xFe6+bmi8DnTLgJ+SKmDgD66oUUargnKgLT+emTJbQWlnKbMqSsyKUK8ySaXGWNCRGE3iGH31Dn3sf9/nqo84uzLxxpBt5NjauHS2voDITMqWUAMr87xz0ZZBLXNFVKityyZIDvTj3BdDTCyAtvbUpUVpTMDXp+bBWOAs89b5lmkk1RhAl0B8Kzq14dIcexlj0lg0eUgrCEIZDg5TSDVWX5wd3ltErV/6ttQHXArtsFxZ/MwV4eSRvGdyi2E1AVXR4GdwTEiXfuDS7xygdMRjDr/zBFIdOBlhd7JZc1d7F5lbrJnZYC+JSbFkAOcPzNxHkk7mGakaz2gdbmSU+UZtiZFpxKKssLhKDEBoZGi7aFvGL/6jDvf86oDdKv4zJPyQJmlEuE9aC3AG3AHV2caqUhTNg2xzEqXUoRdodSf4oDHnteAb0PBAVuMb2EnGmaip/fyndaiYs+d6fMrFECKJIMIocCVos+vJLZvG0YnG5z8EjIW6AZbktbB1wS1vRhGVgF/qw+m+TwM7mSBdOSuGeZFlLt2Vc5oOXgJ2CPk/eVJI5pd150y2otY6IE/itT7Z4dG/Ned4yY+7COfFEeZBmYQ9WMrTZ95xgbvdCZmOJ8/L1GiafcE6KBgiK3kfripnWVBsKx+B50JkxeiIxIr0nykkVY7j+8oh3f2+H3/jYNGEigThd252+SFCMTeFarGFyJ9BRopTlFG6DXltm86x1rfS6WMPY5Ue7ls0z4EPuu2ezz8ved3b843TmYmIMVtVB17HGoK++/nU0mw2efvppnt77FVrNIB/HUO5WzwKpQhOzBshrmLwyFJ2CpcvPJwanl3fxynYOqzJ39jwpvHBV3m66ytxaxehawtfuD/jgJ1t0hp7zAFPPm7RJN2NvLarsLWRVh1cybyVwZ0FZAV+R/ywmAT3B2mvwXgG6pZwAKlg7nQqbSZJ87LLFCGcjJlIhrXH1KrGiXTP82NsHPPx0wK33KWiIIpcOIAWxkYxy+BQgtziN7AbSFlnOTJZIk7J5LlHIi63KjF6WJmWQZziypJNpM91vUjbPbEwKOVcVgGlPqEh45ctv4LLLrmQw6KPdCfbywvryZNbJDu9qfchE4PhNZEkR3a/zfDK4FKYCcpceN1RtwoK5pSpsQZnq7axKUMoYqWP2HtH8j4+3ObDkuy+W+t3Z1uQZe69pJp4MKidYo5AmkwNtziu5C1k7UYvChO4uqgyru22sG3SWC7GsyTeVFZlUERYhNTKyXDwb89Pv6HHkjGb/SYHVZYElQHo5yEUJ5DZjcmGd1jBuAq0y7rNlm5y6C8DmZRwZq2ctbTY3GER+bcnSxSAyWVNm91SeZNnSYgZWxWdBSDfpIPAVtbqHMR7a026jpsCXNOuCwFuPuUvtYrIE5BLYJ73tyUcpy0GmRZTliVjL2tXXSiyeFVUJU2LyUqGVLKSJH8Sc6Qh+5QNtPn1bA+upIh2fSpP12Luo+16bki+Du5zUqUhuMQHyCRqvcM8E2LPX1taklHV4BuhyAJp1/si8os89T4PPxBBj8KRzVTpjyc++T3F2VUBQZnKBm7EiGYkUyNg0MC2SQA7c7gtbad3GETmIUzCWAsyc0TNo5lhZD+i2xPqphhcFg1MKzGW+wjnNHYUJ49BiEjdpVvq+olYLzjTr6is7t88QeAm+LuaOZN60rnjR6RySrB+y7GWvaUYwpaaEYr/zTF4UdSTVLaPX9blLFYPldHzZNZHSgdvTMSGGz91T52sPNtJak8wSlCmDZ+xdmlNSYu91i6lK+luWgJ1nLyeYO48xJ7XIhFxZM6fQcVIRuFXGlom80yfT44nJSmlLqX0rMValr7nncawRVvKaF45404sH+CJ2BRwmBlvcrTWuBczA2AgiA5ERRBbidExxnLaJxcY9T4xzGLOJr7HNBtRP/Fv5tbTEde1WhuV/Lwb7FHdX950kECeWKDb0BxHKazGO+Ir2/DPWCtT73vdfeedbbl4NPLsqRfj3u51FlFJ5kqYAc5GE0VmCphRsVuaUZCn1UotZuVFB5gkdk5e7VrOT2e+Z0oUw+TyrDnTSpJApbs5JIg2fuavO//N7Uxw+E6RNDEVCB6kRUhBIqEk3yF4L0q35SlOz8u9TXADFSLliWxX3usxb/tygo2JIvxuUJKuJm8ypm7yXA9qytToZrGerJukAeqr/fXkVLdcTYSyz7YQrLok5fk6x/5h2CZ/8asyeO0vRpFfqWpeoeoUXnnlZdhV/d9L7r/j/+evp74rq38mLxUu/KywVedcfRWzbvoN6s/1/P/XM/vtf8+qXuT164thF00mSpCWuadlquS67BNJKYFiRGUVAmTklxQkp/Vy2B0UhTcrPc2tQpEFkWabIJHdRpCy6c7KaE89LOLwo+eCnmuw7GEBL5ZLEJXb0WvaeBE32HNbKk1KwmefWRDWgFOsyeeGirBtcInDD6EvsXnJRZF6FWE3fSwHGyFSWuABUZMwuZOruOKkirCUxmmhsufziiB99a48Hn/Q5slBaqvKgE6zRxFKkG0OkK4oEazK70Olym6Xus6BQlkZPmMIKzJJBZTdFiHJgWiR/rCyCUVewNdk2l1qPKelYY0mShDiKiOMISDehmt9yOb5fpz+0GHssjRdsweIlgBcALAWJuStCBawFg5Q1ehnQ5GBeA25RsLpM9yQvNHiS/pxKE5HeU/Ze7gl+80/a3PForagSzDKWGbilk57lmpNyj6USZRZcawuuAf4kuVWerH8rs0+Z1ip1KSWQ2xxATntLIxzDZuAvZTqFcG6Kq8CzToenQBcojDAkA8Mrrhvzf72ry3/8g2lWhoWbkhZ3p4DXxBkLl5lbutXASpHagmnHfTkoLAM0PZYmBbsprUwGShdAqr9tYRdm3frltrn8oEmXha3VPC7fvYsXPP8aBoNhdo3C1PRmduzafevi0sp7hKphjS1ZheVRxGbd56o8QWpdjV3Ua+tcdpxHelRkSUI2j0/KUsay5HlnIJdpvclIWH73U00+8MkWvSiNmDPmTl0TN7uv6NbJXBNVBi5rs5cVps7AXA4k8+6YbwvfFSavtqxN+OLl36kkfCb218leK3fiW1lqb3OdP8YWe3C2NPzE23v85Ft71E0MJnF63MRgo5I2d5p8bJ0uD22qy9PHpKzFk5IOX1dXF/+epBNiM62e6/psHLKB2FjipPR3U90dJzafo2mxtJt1VleW33PlFZffesH2LQXAN23ewh/8/n8ZrKysHBZCA0WQ6JUmtRbbf2QFTyYfj5br51KXjS4Bu1whqMqAzQLHShBaykyW5IiSCSIvfy0YXKa2oNWGZw76/NmtDbqRLlmCRacOQiJIM5b5vfDnM2do3UxlWcdOPJZfX1uS8s2hXtmisVJhKPK68Gxvmlyi5BdCeesTuebncl9nYlQJ5AprFHGkaGnLD7ymzxWXjpFJBujEgd1mYE8gzRqGBsYGwjT4jNPHxEJsXXCZATULNieBHpcfE7HuBRDnYHYBZQb08gWQ5CAH39esrq4c/pVfec9gy5atBcABbnnF63n1a9/MrgsvQYgYrWy64295c6bS7gjKlDrYC5AXXetpkKhKTkmZnVUVzJnmliWQy/R1XbECU7+7BHIpY5SX8PQhn3e/Z4Yn9wdYTxayJGdwWbIFi5qTyZ0a1rMG15Mpk/2Wpf3D1sqVb4fGC5VSYuxJu7DYgruyiWupbzMbGJTt2JazuC01SKQjJxKrMaHi2ksifvtnV7nq4rHbKmHCVSkzeWIdwMfWgTzMmfw8zkq6C0NiC2BPOiZxku1oQeniqII5KjH35GvjMOKSSy7he7/3Lbzpe747P546ezI9PYMf1Gk1A2q+IfBFDupK8VMaXJYrBatau7yN89p/K6fpJx8zgGcaXJT8bpmDOSlJF8fc2jP0rOR3PtXgsacDkgpzZ9rbTQXJA0tRzlBWO/kzE2Fy7uCasRAToGfi+bdCuJ0AdhnhttynWXm9zOwTNePWze02ViCMwKSrlcn0ODZ9TabnQyGMJcGgheX6K8f847f0+bnf8OjFAjzWbncvs6eScRoY+rlHnnrgWBdwpq6KTLOeJi2mMpJ0Ki15SYywpLtEFCl7QxGMZr+TD/cU1u38lu08Yi2eV2Nudo6+P1gLcM/TeJ5/YKodHNwwG1ws7BCtKdWHTBZNlbdrXgtqkZZN5q9JW7kwCmBnAaYpBaGmFGxmwC6zt8mzldqLGRjBBz/d5ONfazJWugC0KGctnUXniWLLvazeZDJred5KwXIwWQksRUWyVJH9reTJJHuXylOp6nAD+Sjjqje+HuBFAXgjMdIgrHQtYNa5KS4AVQhrSIzFjy3vePWAPUc1H/xUi36EO2DnAblFEmWf2wiMtOjUMTGi7EylP+OcH5kUgWZOlKQgpgToMqGUfzc7R8a9RxgZptoNtF8/6PvBgdE4Wgvw2Q1bOfjM578yPdX4yGh++hcHnRW0ViUQQzZxqApo91WLD5BNTnJXdJXZq4yesbScfF5yTaQwjslVghQlcAtnD/ZCwQc/3+Q/fWCKcyueQ2+ZuXN5IkrsnXbl5wxeDSzL/nFmFlTAXv55ksErv/ttCJSJgDJj9opUSfV28bsZWxcjJnJHxZQ2JUiLsMicFbLRbdIBW5RAbiwJls1zMb/wjzpg4UOfa9GLhPP/MgtkHZDH6UuJcZtzmZQ0siZjWfo5P7Y2s2GdQ5JhJnMp1xzvDPAU5JLhME4MO3bMU2u0PvLpL9z1lX/w99+4FuAASnso1fhCsxG/2bPmOmuT3J4SpQMuK6CuAjz7oBnAXf/lWvmSW4Prgr0kS1JQF+AuNLisWf7yCw1+9f1tzqxoB26p1+jusuedVwyWGzbKyRQ4j/ctKuClDPT8via6/J+6VQutqEiVHPhrUvekBVe4jvSUtTMGz15zwM8YHIQxqWWYAjxNsUShZctMwi/8WJelruQjn29BLas/SZcQys/dJNtEZA0ODrBeugJJ3CyVzOPOGL0oPbeIpDjG2bGnQiA2P8Y5i4ArNrMWhM8wUo+1m/UvdO2ockwrAN+1+7Ucf/yf3D3T4qGRHF8XhpYkUZjUnLTlv58CNWetb8LyUNLrE8CugrwAthBFzYlIfW8l0lS8SFCB4cAJzR9/vsnpBR9qZTlSlSYi1dyFc2ILr1/kdUIlmWLXgHei6Nux8+RR//ZUSQ7mbwp0isKrbG/KNb2blDR55jtn0iRldJs9pmCwaa2KsDL3yIVxQM3AHoeWLRsS3vXdA+593OfgSR+CpATs9IMa64SxcPGNQRKSBpFCkKSrZWanKytyeZqTSSZD7CSOyqvl2vJjm75PmAiM8th7LnroF3/n63c/+ql/e36AA7RntgMSLToMGRHGfhqJi3IirnReS8CuXH2FNkfYdaRKGdyFNMl1uTSojL0zxs4SOr7h4CnNv/3taW57uOYaKOWkJCkYPNfeGXtPAHrdYqqy1pNV+bJeJWH5uFRlSnWZzaXHhC0IxRD87AxWgVze+6bYs7QoNhIVZi+zd35PE0DCCCwp0E1GRhZjFdlGqGZkedULRvzyuzv80m9Pcei074LODOTZUrcGeIIYaG56OwAALvRJREFUl95PcPtWZmOnM6BLW0zizaWgrcq6igRcQwvu78cGuqGlOVXnst0XYIzl0YnPswbgzfm3IaQOSRaJw30YXBtUthxSAnH+lfKTm/1C+rwceFJ+PumoFIydA74sT8oA9wxHzmn+3e9M8fFbG4QirQpbB9ikS2G1znu9SsHJWo+SrhbV71zR3OsA+7w3UTlka9io0t0zWSyeldDmjspknbhLYxc6PC1HTTV4kfHMwC5TmeISJEakbE7K5MJ5zjUd887vGpAY+KXfmuLouaAAObYkU7K7cmlMITFCEAk3bz9xfxWdShKVHkMH8FLvr80OU3UmYTmYz6Sysa74qx9brtm1gZ/7h98VhlHMn//6twC48jeDmv3XsnbVlUKdfIWMx8W7VwC8zjkUtvK8DHIogkuwFcYWEyyeOSeiBHAlEpQ2HF3Q/Nx/m+KTX20QSjWRqZy8u8AyG16fb2Z1nntxEZ7H987ZWKxhatKVSqTW3F/pZicZe6IOnKya0OntbG+f4udqEigDdGYbgkAKmaf6hZX5HxfpnRT4YN2mqtrwA68bohX8/G9Oc3TBr6ImlylluZLRnfO2s/g0FqCtOyd5kGknVv4U9JMksEaDW4gSy9xUk5uvu+T266/Y8a8XljtrDukagAs9x3Dhz7raq++zNnhZkkSqMoqgpLvLJJPJFCZ+Ll+ROXvnTF0Ft3usavAM3EIlnFrW/MJvTfHJWxuEWT/dusxdZe/MMVEpe6zR25keLFXikf1eGcgVNil/0exhIjr6nwB2+Vjmz8s+eTnAzIzECZliyHAmCtDnGrwUeKZOSwZya2zqObs/IlBkY4yTJEaT8I7vGhIn8LP/bYbTy55jivN+GRdeZneLIEmvBbctfHqcLcVMlPS7ZtbyxKGpHP8sh+FJy1RdJjOt2r5f+4Mvd3/+x17/rQGe3UbDwbtXB1tvFMnR6wN/nNdeF29ebhxae8UVAJiQJxMyRUiTVjAWoBZUwS2VIfYE7/9Mk49/OWVusR64yxlLSo0MpT3cy0FO9nOOySK4PN94iGpyR1QYvJrV/PaxvR6YmWBy9w8i/4cqo6dLd2X7EVthcWHdupOBOtPeTro4JhfG5TqMtQijHOjTlI3G8M7XDdl32OM9H2wTA8VkzvK3yVqLlUu3pgEo1l1oCU6yZB1oIrsoy8csZfDM+58kmEBCQ1ravuCKLY0n+t3eu1tTrXWP77oAr8//APuf+Mj/v70vj7ejqNb9qnra85nHzDkZSRgShjAjgiAqiiMOqO/5nC5OOOv13qviFeT5HNCrPJ4Xr8N1QMGHDCqiAiESBkWBICHJIeSEDCfJmc+eeqh6f3RVV3X33hkg4SD31e/XZ/fu3ad37+6vVn/rW6tWBU5xKfcmnoZpBLBNL6IU0f3gJLXeEOOClsQDQ8p6K3oSqiWI1kNwwyS4494Mrr8jhzqV1YUaWW0BeiQ178bcO5piryENiQNaB67+OE3BOXEZ9gf0VJAn7mPGFZMYD9dn/uXxfbgaNxmCmSsrzmTONomAHQFdOp08VFhYpKyE94wzDhscF7+kgj9tNPHb9bnwltPkL9LEfGKIkxT3JiFFcU2ZS10ZnjyuuqCBwFqrYWDNcQu5ZfnBxxtY76YAB4D++aeDs8r15Z33LynaO/MgDJ4PdZF4eKJq6o34iavzkby9kSVnDehJEG03TAZiAreuy+AT3yjh8afssPuS/fNuStPglpmCarQOjyx1swhmeP4kAX5BRjSrnbQw6Q5wEAjXN2vOZaSBRyBWi6IhclfJrSGAKmkJj6kpjWhKaMGpsNoAaAh2JrYDJigPsHKhh69eNomPG8Cv1uVCScqQTxZheDg0n01adCHByQr4Da+QHumKdfFYgCDwCcqcIj+7v3zeOWuuLxUy+HiTS9wU4LniXP7He3/4jXJlxaX3/2lz/rSjfbzoWBeuG47XU84M1SQq2tya65YbInQPFaaXoCY0CAuKGRzEBG6+J4t//JYAt61Z6Zj1NiLLLTXvxolU2kCGhFoSm28nYc2RXG9wew7ZsdQk16SxktOCxPTwGNDjkmKcn4dBfjnwILovjMWUFJYEPKeiw3ChFEqnkwMsnIYKlAMex/L5Hq56/yQoAW5dm1MODKAcAUjrzQEixHMuokW6PJW6KBzROD2wcD3axgA3wFmrKlizzMVxx68a2bb9gW+89uVvahpWaApwAKiZa7DPncS3bn0Ct9z1ND73nj244KQ6GAt7oh9QAXaVsSbBHp6u5npFAGcJisJBSSCALqy3wUEM4OZ1IbgfG7QBW4AZTcAtqjSlZcH4yJxYICdJSZptQxzUSeDr3me038E6mrqBagB2CWAFZCIG2KoQflRZSpcOiQA6ZGdRoFaF9SUt0RO0CCABLwJBiuuHPJ27AVYu8HDF+ybBOXDbulzIxyPJUJ68oXpyDOgkAXL9IjAFZmhph2L9pSdP4/P/o4xFs7rQMmsZqNm238tL9/fh4gVz6oWM/d6zVy8olwMDVRfwCcfwODC0j8MnHhzHhWF4qkxDpFmzaKQNlYvYTmTWIFHJUxLc1OAgBsGv7s3i098s4bGtAtyRYiK884hvK9Ukst4Qlhtp7k0SYNflwJgDmQR7yokkCUtO4j1B+6QR0JNSd2zHhBOpc2y5nz4IWcmIRGjkan8mtscHRmivcvCyNqsyF4MjooES0nDJXHJmgLnA0Qs8XPWBSVxwWkWELwMBzkDUfQ7EwjTgBk0WLS2XeQBzAbeOLKlhbk8Fve1VGPCQtTkooZhyjyvX3Nx7SWZefX8Y3q8Fd4J97NRj5z547MLTJvc+dVd+YX+A//xNDl/7cQlTZeCVZ1XxpnMrWLXEg0l4aM1ZOKsXTyQaSasNQNARFeCR/JsYAKMEt9+XwcevLuHxFLibOJUCkQbismCyvkmSpsRyHRKWG0RZYQWrxFw80Y5pK5/EbCNwJ7dFNFP7nxgVBRqAWtsecXGhg4uC8ZG6IkLoipZAOZpUSdoqGkqjqAohGgWRzWVYMd/Dlz8YWvI71mdChSTKV+EaF5ecTFzAFI3lqjPwACYLsHp5BW86t4xXnlXDZJngaz/O45drO7Btdy+uveJlk33ZgQeHd08y7KftF+DdPV0AnH1Z4r0uO/vUu35556+tf7quEzv2ZQEa4NobMrjjgQxu/OI+LJnjg/vh6Owwb4JCFnKJ7jXRKYrSuwkYiBEOlv3Dnxx85KslPDEkOLduuXWQQwe7Uk2kzxMHswJwwxqDCecyRU+a8O8kzg8lFyUF+ARFUZgmcaoR87c0a010S69HOZV0yMDjFCVh1Y1oPUzKkp2CUwqm56DI6BIAuAGOmufhax+exPt9grsedATIITi3/iupBm75dJMOKle91A8wMLeK6z4zhoWzA1iBCdJB8K/vqmKqPo227nO8J3eT152wqmWf7Wb3e233S1EIyYCzDci1zdqxs77yyWtuXYLd4x0wCyUQp4SalceW7VnceHcOPo/Lf4AepYw7kjIEHzmWBgEzCO54IIMPfLkFm7bZ4VD3qMq5oiEp3i20aCNyLnnauYQG+CSoNUDrQZ7IeicUwGQIH6nPSaTxhttIU7zz1EoC8LwZ4JMSYlxZ4YgDWA1308GtaItOWeJVstSiRAQpLNCI2nAPWDLXw799bALnrKnDkEVONIscfxWURXcoNYBbJMBrX1TBolkBeD2LqUoRoxOtKGUKuPwdDi55+fwnO7vm77jzgSfR3uo8c4ADAKEUn/3GY9vu31B413Er1qC3RNCbM1BwHFArC4/buPmPGXhBnD9Ka43IsRQyoEikIsKxJDYBMwl+/2AGl32lhE1DVjjcjOpgToNavSpwRwn2EPGzpPWGelUKigb6BIiT4XoFZOU8x51QScFS2G8Oci2GEx9onMwB1ygJb8DBJdgliJEGuj4wme9vkUPfmFLJmD5wOQK+GNvJCeCGIP/6RyZw9ok10IABvkY7WMJ5TEmB6iJZJvCq0+swYaDuZlCu5jE+VcL24VZ0dp6FExcH7zpl7m+3GcYB4bt/ihLerBWYmq6gkM/uuq3VuGd46+NnDI+UYZYt1GrhtIOL+n1RlDzs2bp3rHJSeGS9o8EQNjA0amL9X2x87toiNm2zwS2BLDHxdGrR9G6ARDzbRHwYWgRkSCue4N4J8Dey6BKsycBPRFUa8pSDQHVDpDfePxUr1OlItOhqCte4eCJvJUVblEYeU1iQBD0VnYcLyRFiVuNwG2MIRQKfY9k8D9/46CQ+ey3H/X91MDRiAhYLfxsXF45ToagQpahE/kzYebbsMLFqqQcCE5VqDsOjGQRoRdu8E+4pdJ+6y/OqOKsnd8DLahxwDwBXXvFFvOzlLx/t6ihMZR32hu1D22CaADFqWLNiFJ966wT6Wg0EgRU6mOJOyWpLiIakhQoKKEAdgk07LVxxbRFX/6SAoWFTWG4dyA2COlR3LkNQ20RUpCKqBFtk0bVqUfHpVTQlRf+cioR8nSERgMhqVsL5JARQEwWo92pMoRpZoyZV0j9XnSYVaJJPGznShaYHYejfi8T/pvdDRLeS7xvq/VFn1mY9k/iLxQsUaYqecBzobGc463gXvX0BNm4xMTomcpRjSVTyS6n2akQA376TYE63C9u0sHukDTuGM8i1nYBCaf7HhncNrevtn39QduOAFly2lcvnIVcoPTg1Vb5pdGTkooL5KOYv3IHFfWXM7TFQr9sIJxfiItweVmiKyiQj5NsgAHWALTtNXH5NETfekUUtoCFKYxJgkyWyyyoyGefcPCUDUvAU3SBIy4ZI7bP/de1WpXTyQ2lxnh2aXpl2AqmKEGnitTkqtREQUTqz5OLgQiWRyohKq40sulY4iGg8nERPYxYNdgHkgObQAWUiKkmhW3EexnF8jp72AJe8rArHAj7/rSIGd5iAI7Rxab2jX66JCQjHdv55i4XLrjaxoIeit8PCBacuQv/sxTdligseNNypg762Bw3wfLEHGzdv3zZ7wUkfOmHsEYO7/MI9kwxti01MThbBOI0KYIYVXrXeDSHyE4BaBIM7THzumgJu/F0WNYgSU9C4dZTDp1MTfSGR1YosNRSf1ilJU6cyybklSKVVhAb4GGiV8xmjLfrH8lF8KCDXo9KROyMSrRI8HEmaIqkGtG2MhNOAQ3dANXBzEgV5JDeP1gnROoUYCaRnJLKwBmNEVYTBYRygCCdZZXXAMRled24V4MDnriniyZ2CrnAZvtdvQDiVI6EGLAIQy8HIJMMxiyawe5JieDJ3y1ErT/xQbXrHULY45/ADHACWLZ6DO++5ZyjfeeyGa3+658KdTzN05gP0dxjIOi4yTh02EDqT6taB0CB8zDoET+028dlvF3HDHVnUIRK0Y+Am2L8FF/RHghs8pXfrj36aBHICmAcCPYCGFlwR8QZWO0Er9wts+Sexn17OTQFeLjwuFcoEuETQh7PQ19EDRSrDUM88FE8NPb2WcKScT2nZgSg6yjkVI3XCE+XRnWeAD2RNhje8pAoQ4J+/WcS23SZgy4ukAz3MY8kYFG0WR8EmmNWZxcVnuVi4oITOWSs2bN1y99DCxWcfCmQPDeAA4NF+tHf0X7VyYNvC3ox/8bYdk3CMKjpaEVpvU3FwmQ4LwuFyiocetnHNDTn8/I4sXKKDmybALa23hkJtnZCQ0plQwZx4jkkDShLRFWXp084kSQSAJHDVhuT/xdYaGO794TuJa136k9HtKLgZ5Z9Ih1LlqigLr5QVRCF2LWwfpQSQBGVRc95woVPHB1zIwb1EA7boCDJ6Kq04dGmOgfmAYzBcfG4FYBzfviGPv2y0UeckfATIABIIDEKQMziKNkN3kWNOq43x6WUotS6/ft7CZVcBw4cK1wPLhMl23mkDeOqxuyaWD8x9x3FLc+uKeRqO2hAh3yjPVygmhsFQBcH3bsvhoo+14fo75EicBpaZaNRE178Rt94RDZHgxn5SX8HTDhjSTp2iKHFkpj7XkBunKBqJbwjt+PuGRX+0NzFenoxYatY7yhsH0Sy4roHr2zTZECS1PamLJ5dID484uhbqlwPTI41cLIyA+YDFOC4+t4qb/9cY3v7yMvJEFBvUNXFxX01R5aDuEWzdZa1r71r+joce/OsEIUcdeYADwKteeQFWLslVTj7jfLe1JQ/L8FUxelHK2KQBLCdABcD3b8nj09cUsXfSgqcrIZEHrbvxSa6ddvEpkfkmOudWgI7sP9HUEglBXQVAw8MnHMl4sc0Y/TgQlA+Gh+uA5vHteq0UPSELzQANRPkq8WilppUDkTGSlpjJvOyEZh7ljmudKbL+8jug7ysGNkRPCBrmmXMKFhCYjKOz6OPKS6fwtldOI099wA2igp+MsbAUXADUXI5cvoRXXfgyd/BpVjn+pHOeCVQPnaLI1tmzEJyzBxYuPvaU6ujObNZxUczXYZl1mKYLy/IwOEzwy7V5XPndEsanTDU3eExIpmo9SU1SA8bCv6lhZ9B075hlVoEXPVjTmHOTFLiT3DpGWYAGFEcBO9YBDtLh5IlFAZnHeThX22I5LFxy5zjv1lNCInqj83cJaJLk6XEqovL+udrOich3oeAyFZaHhorLsZ4knFyYiAEV7YUAX3j3JDImxy1r89iyV3YcimmWgUMIilkHa05aXV2+bOEDlD4jO/zsAJ7PFxB4059ZsOR0Pjz4yIftYCgzUfHQ3lKHk/Ow/lETn/9OCXc/kkPdF0V5kg/6FCdIcIEkidZoSURmSALUQEr+U4DV63Ek+LkO2Kgj6IMd4gONk1QGDd6S1G8VIG3mVMptkoMntkc8nMSdTMm3iRauJ0RxaEljdMlQ5n5HnSKq5x3PeYnTjxDU0ZWIBr0QqffE7rHcyrXHFAHAGENbjuGKf5jEeafV8fnvtOC+RzhyBR+txRrGxh3MX3VU7eUvPfPrIOY/FYv5Zwzwgwr0NGuXf+EKftl7Vt8DahiPbq2d8oXrPKMaeKh5wGeuacUfHiwgIDZgqkmfIi5Ndbho1rsR99akQZNATDfCo9yTCPRUTZalivQjHuxJvo9eSfQ18hhRcCc6LRIP+iRew2xDojpE0/V4wCUW6NH7dJN1QAschT0xsY8M0MSLhR5cFDedWRlLa0iOqY1RPL3aWXieofWXfFyG9sMyzqYBLJ7rYfFsD1ueJjjnhDIuffUEWvKz3d7+xVc9vnXvF847Y6X/bDD6jC24bLc/7Lqz+/u/tH5L3a363uWuN0F/f38Ga/9SADIOYFiQUUfEEtqlOWk2wkO7cho9SVERNLDeaPBeRtsa0Pqk3BeTA3VrjjjYgPhpJ2lK8vNkE8IEOBf9PdK3NQqiWWk961SpJRrHJpIbq+xDcFXrT1dppFSogkRcoyWKtkBTa6QllwOI5Vwj8neo3yWmHoFGfwQnZ8LqE3D4gQXL93DWcS7OOamG3SMUPa0t7C2v6Ly8zLJfNbHbfbb4fObkRrQ3X/h29OUr1Te/dMFN3/jUMfzVp4QJOSAOYOUAMweYGcDIAIYDEAl4qZzsBwFJRqNTkyQgoYeUm2QNap1Bx15UPiwG3oRV1LYj8f8xynIgVDdpOu9OJ6DoCVWaFIj4azwpT3cO4wMdYrq4tq4cW/UdTKMo4akoY6N/f+zXE9UTFbANBMyEH1jwPBt1L4O6m0XNzQLMQsBN/PjOXvxh4/l8tLrqpj0jqJ57zrueLTyfvQUHgEVL5wFo38xrpUt3DvnXDI2sp3DycGwHNg17q8sJ6oHQyGUF95g0wKFLgdGN1lkMpPXmMWveyPI2tPANHve0AYhT+2l3VG0nCusN9olu9sFEeojGtaOkKW1dBzDRrDWPD0mLQveEIJzMStey9UVp44wRUauHQykfgeLeordFaQRiv2ZNVVCQ/ycHX1D4gQE/sOAHBlgQigumYcOgBP0dJt72mrNYT/+qS1tbOjaXg4nDAc3DA3BCToNX3uCaubOv+86vh3Ibtq/4WskZQWsGsCgD40AtACZAUImyDQXIOVOoaJI+qcASB57SvXVpMC0DQpMTU2AGaWDpkyaaRKDW6UncliXkxMR6s8ahjiUBTLTP5HiRaCJWvSPEAK87hZrzGNO89UE2XLPgPAb6iBJB0QvoFp5I2iTPXXFyCe5onavryRiF75uouTY83wTnBAZlqNUJXnFaN84z3I9+5okTrltsbQ3efOGqwwHNwwNwALDyK7FxcHfwnje/enBOz0NT3/vJ7cXy9ARsy4DPgEqdwGUU1QChnMQCNYaPAEouFOsyJqapCHqWSgimBvkmiPuvCvhQ/Bua9U7w7eSxmlpyxI+XRPfBSoNIAlu33JqaIhUSFZ3kCsxEe01Y7NBCJ4rp69p5VJGWa/knJPZEUIEm6c1A+51cczBlBbQgTLwiAKUMLAACFiZSeb6JSs1BtWbDDwgI8VEstGPW7JdNtXavGfzPgR2BlV14uGB5+AAOAO0tWYxPlG955UuOf1/O8r5+822/bx8fnwSIgT2Mg1UQRq/qLkxSh4kAIBweIwhgaJWSuDJdiRYDnQamJBBTg4kbgRdaZdjoiUASxyQNOoCiJ2n+nQZ3I7AnHbOYNAiIhC3lwCU18tQwNZKQCFOat+a8RhxbOoHpilicAdyQYTPF3WPnG10Tvc5NAMP0AQJ44uFMDY4MJfADGwYFajUb+8ZzcD2GXK4T/QMvGm3pOvEytzZ9C7WKhxOShxfg3Z0tAIDx8YkfXnTB6WbWxlV33rW2y3fLsDJV7PWqqNZ8LJ03geNXltHVGoADGNpt4bZ7cpiqi5p3UXkBnlYpEAcqTdKT2GdxK5/k4k3Vk0RnUDeyAT1JOKTPpkUPK10dIeoyNA7kyCgoiehFXIHR8kzAVaIVoFluQT+kYwiZY6IsOKCsfjjzqnYdooKqDIbpo+wCt9yTxfZhC+BAZ2uAE1Z4mN9TQblOsX1vHtt2WujuLGHx0afv7Z136idrrvfD/CFkCR5sO6wAl621tQVj4xP/8eKzTqEkGLtybNf9XSfbk6j+voIWg+ArHxzDSSt8FAsMIAFGJoDe9gDX/KykknBidzsBbDRYGlhoabkp0p2D0jj3jmiMfryYuqLSaFNPBe23H4z1lk234hEN0a24LhcqHEUHlpY3CvzoVjzGvXnK4jNRNlCm5Mp6PTF1BcqCN2waB5cVEnxw/PvNBXzxu60YHXMAaiBfIDhhRRnf/MhebB8u4yd3ctg8wKsvWLJ3yfI1n2bM+4984fBabtmetUzYrLW1tmBw47rr5vXnP3Hy6uzovqk6Bre3YemcLJbPKcKvt2FstIjyRBatWYKPXjyN5QN1ECYTb1QCjn49IzkwaZmRtr4yrzHJt2mKhjQANFH6RzzMH3ctda4fP9eDM+l6IlXsuAmBSb7o1lv+f3xCWI1Ha4DVE6hYg8/1cZ7hgRN5LJFykqAqmlNJKcPftlr4yk9LGK04QCkL0lpCjbbh4Sd78LcnO7Gwp4hSsYYK7Rit+s4nbrzpd9dlskcG3MARsuCyrV5zAfjY1T/YO9bh7ps+6n8v75ssrjmKYPvuHNpbKshnK0CGwHADdLbXcdFZNWzYnIWfEoLVzU+VM44AyRtsiwMbMaDGCwBBA25DVSVhsaPhYkh0hAMLg+kmQZ50LNEA0JE8KEGXoCwxLq6rKgmpEcIBjaiMVFUaJ1wByrLrJ66Pt2UGxy/uzmBkxAIsCzAycCwHHTbQXQDu+/Ns0DrDK89on/rDY30f+P3D5Z9+/6pLjiQEjyzAAeC6X3YyN7CvXza/3V89MPx9r7I9s3csL+bg9GFbHhgzYBpAb1sgfMtY2ANAIrSNJlSlCYeWnycL3qNRR6CNrXfMudSpDLQvR0z0OaQmHUkAKmgpOkyUU6JocTRvZARQ3YGE5jQSta5yUdIOaLwSbTzXHNAsOI+599rf8KPhUaFxWwYoDacK78wG6CsBg08DLe0DtVN6ut952evzN46Muez7Vx1Z/B0xiiLbO//bW3D2ai947XldN/b1d11i5ubWpsqA54cz7UoeygKC0UmVspMCABJBHSBlaRvN1JC25sohTA4ibrgkrbe2v05PYrd8P7S1WWsUEUSMImjvhYlXkUZNPtQlwlSABylqEqslqafByu+DOr44JaRvEZHxJbSXOKghPAhCYNKwOJltMqw+ZkGttaP7kkeH2m+88U4vOPG0Nx1p+B15gAPA8lVvxto/TwT3PTXwi+7uWW+bPbu/AoTjNx3LAzE8PL3bwHduzcM3SOIChmiJrDASIAegu0JJSx3vCI2COslO0GyfuFIibZf+XsmHRDvrA7cIPIkHl1olKf4tARzlkjAFaKaBWPFziHonSU4unggJcEt6Ah7fBq0z6edKABgB8M4LK5jVV4cVuOCeBy/gcH2GWbPnVnp7et522XvP+8Wc7nrw8fe98bmA3rPLJjyU9qMf3YirPnUBlvbd9zdmLt6ay3jn5p0dmenaNH51v4Urf1DEw0/YYTIOpQgHocrpuCksCjiUw6RhiQiDQMx7H+4u574MR8LFy0XIfaiWHZjMJFRZg+n1uOqiDWsjJNEpmr2mt+lWPuYfJHzTZGRUdSj1huj7SXql7axTK9VZeez74nOYNiirIac112ejphyGnInD8GGYDC1FjhXzPXiBj+FRAs9zcMyyuRNHDfS/50e3bbveK0/gHW+9+LmC3bOWbg+5PfGX72LJIh/1qvm2kfGRr37yW090XH9HHUHVxfyuClxG8PRERiRoZQFqgxgGshTIUA6HhnOzSKDHXg0o4EfrsgOQJimz+nai3VgiKzKnQE2bgJdSErf2iVca6ygCWBTpbEgNXI00fTWBLY911AicRKYOc/HbwxntqEgjDq8PFwDlYiSWejUpg2Ew8Z5FI7VMsU6NAKbhwzQCWKYLy6zDsevYNcVRDwjmdgBT4w7+uLEfd2568UhAez9S5cYPZtN9+Own3v6c4u2IO5nJtnTVOwAAG7aM/cByTHP1Meu/9NiTd3R1lzbhk2+cwOBOig/9m4WKJ+8+jY2aTzl/jegG3f/nMUA34OHSIsvIZhLIOh+K6e7QPjvUJp1I4TxGmwiUyiIOrRxAAqZ9SKErLMrxZMJjJVEASB/wkJQXxdTgkopogR9ZWiKcVYKCUwbOw/tTqRN89to2PLkzg/e/dhorF8zDGadcuPfC15z+KcD/ASG9zzXUAMwAwGVbuagNtUr1u+9785lkxfzqlXl/uOvo+RUsmVvFr+6r4f/eUwJsA4SQqKB9bFAxEvw7Alt6RL0OZKWWkFhnaFgZijaiGEpliWkIqQhPw1XVIh1QA7LYrifrhdNdqyNJJ1xNUSlUE6oFcQCoCauImDktLNZDADDKQZiUHEOJkLHwe+IOK9H0SSAsyxcgWavQNIFf3evgN/e2YtdoEZYzB5d/8KV757ac9+lqhX83l7dnCmYzB3AAyOSy4Hz0unNfdKq/Zyj7tfHxW9vy9gYMzAoA2KCGAUdwb2XBeZyjImGdEwpJI+AmAR9ZbOkgJqlEMqKJ9HZ5LsohPjQzruve0mrrn8nGQEC1FFYQJfExAGAElIr6hDScFJZQok1LAjXNoBhrEs7AplnumBSISE2BDPUzgoDTCD4cFjZtB8qegxOOnYNLXnXGWKn7+I8PjXjfXzb3wPUDj2SbUYADACHtqNWCH5a6ThmtYXBgy86+//mzu/9imRkLBZPAoQrQpOH/a9wVPAFkzYEkinPHAa8PIYsPBZN8murgTtKVxLk1cxAPpiVD9/EV1STIY9PGMwJKOBiFZr1FXmakfytqIscHExZeE5VwpdcgJxo1UpaciSzPgBnwAwPjkwFecfIUaGm19/Serk9cdN7qwVIxcxsxZs5yyzbjAAeATMZgY/v+fEv7/PPtsW1DlfPP7Pv22vseI36tSkEovADwtXoeLKmWxxwxTTmJFBAN9DTOwXXAUkFLdBpzIHDrWvkh8+8m++pD2ZCw5rIlQc7EAamgG6AhqBmEdWfyQOLZQpUFD5j6/SqCqX1t9Ft5FB0NxAAGxji8oMDmLTyHXzLvqPf/aejE720eGnJPOObomYYVgOcJwAGgrfN4/GH9RrejY8EPTz7OvKtA66/fsWP4Xzds2QU/sBBwIOBhRi2BKlcGaNiSzmhUXvxA1jvubDYFN0nTEkBa2yRheoYtEQJtBnIOYbV5ON1LCuSCojAWxkApDa17yD0E2AW3Jkz+Ng5GSDgLsVCSZPAnfDpKFSac8jHk3gTlCoXhzIXtdP8LsZf8vCs/b/t5rU+52ZbjZhpOh+OOHLn2zWtvwNKF3cYDjwz9y47dw595cONW4/EdQAATNgUyBkfW4MgYHI7JYZuAbXBYJmCJolmmQWIaeUwOFBq3oVtywbkNCjSUAMU6oICtKydEfBAL60NxfmiUqWEkVnuva+Exft/g/1LyoS4TRrKglCPjsqFBlWQYyoPh3PSWGcAyA9hWANvyYVk+LDMs5kQpQxAw7Borwc6uDEqlvi8is+hy7u4IFh/9+pmGTqo9Z4GeQ2m/vvVnWH3aK/gnP/jGu+7+3fecYqF20qYtZXPPlIeqH4BQGtYEN4QmbohSEgYiPdw0yH7BrVt1ydN1cIdWnWhURmnaQFwuVOAjGggVwGOBFkIagpqQOIhTyYhxny/REile+pNFj8CKJxGP9iaxf1G6ugC8wWCaDKbpwzZ92FYdpklAzFaM4ax6y6w3fXnxslP+eerS8/nAyjfMNGwatuelBZeN87247+Ec+nu8K+9/dOsp//TNm2h5qnLK7r1ls5Q10Z4B8hZD1gIcK7TklgGYJokim1RYanIAcBONwugBn1jWIGl+wSSgw3VEgN9voKcZyJvcGd2qSwzrfkYU7In5GprVjq4Bj6KTBlHW2zRDC25bARzLR8bxkXFcZJ0aHKuMfKHoc1Jc73T+d+aUlq0nxPv0pqE8ls4rzTRUmrbnNcD19qmv/hyOYxTHxqv/5y+P7XrD49uGacavoDNPkLM5HFsm9ZAwoklJzKHUAzhSBqQUMLQoZJynK14uQXgol6uRdq4DvKHu3uRYSYutW3ia0PF1UKs0BUVXVEdTcxgZBmBQBisCOEPG9pHNeMhnyigVCXKFHpYpLvyZaRffzQJvyul890xD4uDuw0yfwKG0ex/eilI+0/nI5p0f+sVvH1rpTo5ftHXzZrTmDWQcCscksCzJwxWQ5KM5JR/qlamobrmT044gRRnUUDHxXh/xrikuyQ7TCOBUG2+tiyby+Ho+eHTjUo5yUiVSeTrKiiu+Hl4PHv2PQTksk8O2GBwrgGV6yNhV9M2ai9bW7E359tM2GM6Cqzkr77Nyy2caCgfd/q4ALtsjj29HS6kw76GHN3790Q1PXPTgQxswNTWJUs5ELmvA1BSQ5C+M9G6qQG5EiVi6mpLOJ5GNC+SFg4+4yMZrMPpI6zBU/06StrxJzZxFWrS2jlgfSuWqJEvVRcloMadTHQfQ/5/DMjhsy0fOqaNQzKO77yh09y2+qb1n6WVevbzNyS+Y6Vt/yO3vEuAAMLxnH2zLWrTh8cFjxiYqH3rsbxvPHNyyGbXqFGzbivTp2GgWKM5LKRGPZhIuRnzyKFmrMAJ6dLm4lmvNwRgHi75DhUX074k6D9WfFgqIigKFTU+HZUyNoUwObYtp+4lOYxghqE1DZlqGAJdNrxsedhgOMB9tbXksWrQQfbMWr6Vm4erWjoWPMOZtyRc6ZvqWP6P2vNHBD7X1dHcCwBbO+RYAGyi8vlNOPOrazZs3LXr0kQ2G63kgJNSAA8YFULjI7VBgNigBNTRnk1BldZPaOVQ0EIwj0MZFxiKAkOWctUG/CQ6vHzNyaKE6YphPosAdcB7VSII4lDw3OfpH5rSoXJZwHh6Dqu+TxwuvC+D54XkbponFS44NFi4c2GIa7nv655+2C8AmQv5ubaC8TC+MNjI6ChYE84a2Pz3LMs0b1q1bV9qxY2d+ZHQSHIDnhzcTCAFlWwSWSWGZVEiKJJ7uqikwNAGQgIXlXfyAww8YgoAjYDwCedJ6yydEtE4hnh7QuHH4O2QnCcIZrcXCEQTh3PNcfAEh4ZQfOu3RLboh5NKQVwO2FWrenAOuT+D5QOBzwMiju6e/fOKJp04GzH9db9/sHZQa21pa2mb6lh6W9ndrwZOto70dnPNtnZ2d26enp1dQipN9P/jO4xs3+4ODg+1bh/YUa64HDiEnmgYoITANAtOkMAQ5lTSGkpDCmBoQ5Q5+ICKNUXlFDhaEdEVaUUpDk6pP9gSOtLMbURU1SxoThTN1i+v7LOpEQHh8TgkMUGXFxfkFDGFOCsKORAiHQQMBcgLUTZhO19SCBQtH+2cPmBz0XbNnz7svmy9MgHNGnkXB+edbe+H8EkTqB6tUymN9fX23F4ulJb/85Y0DF7/hDV9cfvQJj7V2dP/VyRZrtp1FEIST0lomgWMT2DYJgxj6xRFW0LaAjM2RFXKkZYYBJQmsIODwAgbX5/DE4vuCnwtqlNT6wsBK2HksEYW1LcAxAdsMpTsChIAVx6+7AeouQ91j8DwGX3YqLQfc9znqLkO1zlCrc3geB+cMhXwGne25Wl9v+19PPunox172itd88de/vm0gXygu6erqvX1yujxGCHlBgVte5xd0G3xyCLZlkp/fcg8ytmm0lPLfDvzakl07hk6vVUYNy/DgWAFY4KHqGqjWQs5uWQRZmyDjhOCWj3jGCKouwXSFYLrCUXMDVGsBqvUAfhDGCA0KmCaFZRJYZviEMA2xmDLSGnYUy5RPFA4zTLSB5xNUaxTlGlBzgelygHLNQ91lYAwwjPC4jkWRcQw4tgHbAoKAYKriYbpch+PYKORsdLZnMTC/K5g/f/a6lqK9ya1PX8qZG3TOPhOc+byrZ95M36Ij2l4wFKVZG1g4F1D20x8ZHX+3bdttY2OjV9y3/m57dO/TQW+Xtdoy2PGbto5h89A4LIOgqy0D4hiwLY5chiPrMNhmOA5xqkIxMmHCZ6EKU/eAkcmwupNpENhmOAiBUsDQkpaglXAAQnoSPiFYGIm1GEwzjDgOj5qYrBgwKJBxOHaNMExXWWjxTYKMHRIa0yTIEoJ8xodpuCjX82hpnwXbIn+2Tf+hvlnzjVPPfJHb3t7+j67rjuXyLTN9S57T9oIHeLJ1tLcCwBiAfwCA7YN3AoSc6bveeYX2yuuC7ORSi7sYHxlCNsuQtSvI2nW05F20twRwbGDHPoZfrS+iu9VCX6eBQsHD1n0+ytMW2vMMLAMQwmAaFDB5REfk41Ir4x0FWDJOgFwmQFuxjomqi6eGc6jXc+jvNLCgv4YHtwTYvdeAQQIUnQDFHNBeslEq5pDPZ7DquHnoaOMY3Fl6ohaUbrAt87cA1r7uVWfP9CWf0fZfDuDJNmfgbABYOzk5urajH/fMGXAHKlMT7Le/uZnNm9O+YN7slk/VprehteRjanIzJqenwVHDk7sNtOYK6G4FerqncN9ggI1DrbDELImWIco6gAhKEXJbycsNI4Q7pRAAZyhkXfR2TGHr5hrWbzQxp8XCnG6GzrZJjNUICLHQ1VvEvN65yFs+ViybC6828aXAm9y6dMWptLszR+cszgwCuL29vXOmL+3zov2XB7hspVI7ANwu31em98A07dapiV3r9+wC2kqet6e29MP5ovmS7nwN73yLhdGnH0OpMIV81kEhGyCXy6Dqe+DTNZhCEjSpiXwOyGcYfJ9j92gA3+doLZrI2gSEM4AHyFg1FHIctm3DsAhMKwdObFiZVgwsPw3ve6uJzryJQtG/496Hg6+1Znxr9aqVmDe3f22tVh+fNat7pi/h87L9f4A3ablCNwCMA7gZAO59aAROERvb27yejlKdne4wrCsPwbKqINSGYwXgjHkvPnvN53h98hWtGc8zTYqMTdHVZqKng6HuAhufAlzPR3e7ha42gpwTDiTo7fKtzjb71vr4Hz9nUMfKOBZMw4BpFdDZcyzOLNloL1La2kaGX3QGthLSP9OX6O+iveBVlOey/fsNfwQI6ZnYs6ulYLuc0lDp6Gw10Nvpo1Yn+NtWgrrro0cA3LFDGa+3k5OenrYJcD6c6zx/pn/KC6b9P3HN0h2W4G2NAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE2OjUyOjQyKzAwOjAwGH14ngAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNjo1Mjo0MiswMDowMGkgwCIAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 12157284
{'hecke_orbit_code': 1099545182360, 'n': 1, 'trace_an': 6}
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id: 12157285
{'hecke_orbit_code': 1099545182360, 'n': 2, 'trace_an': 0}
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id: 12157286
{'hecke_orbit_code': 1099545182360, 'n': 3, 'trace_an': -6}
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id: 12157287
{'hecke_orbit_code': 1099545182360, 'n': 4, 'trace_an': 0}
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id: 12157288
{'hecke_orbit_code': 1099545182360, 'n': 5, 'trace_an': 6}
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id: 12157289
{'hecke_orbit_code': 1099545182360, 'n': 6, 'trace_an': 0}
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id: 12157290
{'hecke_orbit_code': 1099545182360, 'n': 7, 'trace_an': 3}
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id: 12157291
{'hecke_orbit_code': 1099545182360, 'n': 8, 'trace_an': 0}
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id: 12157292
{'hecke_orbit_code': 1099545182360, 'n': 9, 'trace_an': 6}
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id: 12157293
{'hecke_orbit_code': 1099545182360, 'n': 10, 'trace_an': 0}
-
id: 12157294
{'hecke_orbit_code': 1099545182360, 'n': 11, 'trace_an': -3}
-
id: 12157295
{'hecke_orbit_code': 1099545182360, 'n': 12, 'trace_an': 0}
-
id: 12157296
{'hecke_orbit_code': 1099545182360, 'n': 13, 'trace_an': 6}
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id: 12157297
{'hecke_orbit_code': 1099545182360, 'n': 14, 'trace_an': 0}
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id: 12157298
{'hecke_orbit_code': 1099545182360, 'n': 15, 'trace_an': -6}
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