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{'Nk2': 34200, 'analytic_conductor': 68.27209372819473, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [19, 1]], 'atkin_lehner_string': '+-++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8550, 1, [1901, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-4, -1, 1]], [11, [4, 1]], [13, [-38, -1, 1]], [17, [26, -11, 1]], [23, [-36, -3, 1]], [53, [2, 5, 1]]], 'hecke_orbit': 44, 'hecke_orbit_code': 193654784010494310, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8550.2.a.br', 'level': 8550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '190.2.a.d', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+\\beta q^{7}-q^{8}-4q^{11}+(2+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8550.2.a', 'trace_display': [-2, 0, 0, 1], 'trace_hash': 221478059824884501, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.042', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.939', 'prec': 17}, 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mf_hecke_nf • Show schema
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193654784010494310, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '8550.2.a.br', 'level': 8550, 'maxp': 3593, 'weight': 2}
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mf_newspaces • Show schema
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1, 'char_values': [8550, 1, [1901, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1753, 'dim': 143, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 23, 53], 'hecke_orbit_code': 33562982, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6], 'label': '8550.2.a', 'level': 8550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 1848, 'mf_new_dim': 143, 'num_forms': 76, 'plus_dim': 64, 'prim_orbit_index': 1, 'relative_dim': 143, 'sturm_bound': 3600, 'trace_bound': 23, 'trace_display': [1, 0, 0, -2], 'traces': [143, 1, 0, 143, 0, 0, -2, 1, 0, 0, -12, 0, -2, -4, 0, 143, 4, 0, 1, 0, 0, -4, 6, 0, 0, -12, 0, -2, -18, 0, 12, 1, 0, -22, 0, 0, 34, 3, 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-482, 0, 0, 184, 0, -92, -800, 0, 198, 416, 0, -76, 0, 0, -548, 20, 0, 0, 454, 0, 64, -674, 0, -92, -298, 0, -298, 0, 0, 202, -640, 0, 0, 508, 0, 64, 416, 0, -28, 48, 0, -172, 0, 0, -642, -252, 0, 0, -574, 0, 574, -4, 0, 488, 256, 0, -636, 0, 0, 50, -46, 0, 0, -92, 0, 164, 84, 0, -120], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1396121
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8550.2.a.br', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '190.2.a.d', 'target_level': 190, 'twist_class_label': '190.2.a.d', 'twist_class_level': 190, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1396122
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8550.2.a.br', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '950.2.a.h', 'target_level': 950, 'twist_class_label': '190.2.a.d', 'twist_class_level': 190, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1396123
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8550.2.a.br', 'source_level': 8550, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '950.2.b.f', 'target_level': 950, 'twist_class_label': '190.2.a.d', 'twist_class_level': 190, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1396124
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8550.2.a.br', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1520.2.a.n', 'target_level': 1520, 'twist_class_label': '190.2.a.d', 'twist_class_level': 190, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1396125
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8550.2.a.br', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '1710.2.a.w', 'target_level': 1710, 'twist_class_label': '190.2.a.d', 'twist_class_level': 190, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1396126
{'conductor': 285, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8550.2.a.br', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '3610.2.a.t', 'target_level': 3610, 'twist_class_label': '190.2.a.d', 'twist_class_level': 190, 'twisting_char_label': '285.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1396127
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8550.2.a.br', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '6080.2.a.bb', 'target_level': 6080, 'twist_class_label': '190.2.a.d', 'twist_class_level': 190, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1396128
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8550.2.a.br', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '6080.2.a.bh', 'target_level': 6080, 'twist_class_label': '190.2.a.d', 'twist_class_level': 190, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1396129
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8550.2.a.br', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '7600.2.a.y', 'target_level': 7600, 'twist_class_label': '190.2.a.d', 'twist_class_level': 190, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1396130
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8550.2.a.br', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '8550.2.a.br', 'target_level': 8550, 'twist_class_label': '190.2.a.d', 'twist_class_level': 190, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1396131
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '8550.2.a.br', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '9310.2.a.bc', 'target_level': 9310, 'twist_class_label': '190.2.a.d', 'twist_class_level': 190, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4785200
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 193654784010494310, 'p': 2}
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id: 4785201
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 193654784010494310, 'p': 3}
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id: 4785202
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 193654784010494310, 'p': 5}
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id: 4785203
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 193654784010494310, 'p': 7}
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id: 4785204
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 193654784010494310, 'p': 11}
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id: 4785205
{'charpoly_factorization': [[[-38, -1, 1], 1]], 'hecke_orbit_code': 193654784010494310, 'p': 13}
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id: 4785206
{'charpoly_factorization': [[[26, -11, 1], 1]], 'hecke_orbit_code': 193654784010494310, 'p': 17}
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id: 4785207
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 193654784010494310, 'p': 19}
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id: 4785208
{'charpoly_factorization': [[[-36, -3, 1], 1]], 'hecke_orbit_code': 193654784010494310, 'p': 23}
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id: 4785209
{'charpoly_factorization': [[[-38, 1, 1], 1]], 'hecke_orbit_code': 193654784010494310, 'p': 29}
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id: 4785210
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 193654784010494310, 'p': 31}
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id: 4785211
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 193654784010494310, 'p': 37}
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id: 4785212
{'charpoly_factorization': [[[-52, 8, 1], 1]], 'hecke_orbit_code': 193654784010494310, 'p': 41}
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id: 4785213
{'charpoly_factorization': [[[32, -14, 1], 1]], 'hecke_orbit_code': 193654784010494310, 'p': 43}
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id: 4785214
{'charpoly_factorization': [[[-64, 4, 1], 1]], 'hecke_orbit_code': 193654784010494310, 'p': 47}
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id: 4785215
{'charpoly_factorization': [[[2, 5, 1], 1]], 'hecke_orbit_code': 193654784010494310, 'p': 53}
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id: 4785216
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 193654784010494310, 'p': 59}
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id: 4785217
{'charpoly_factorization': [[[32, -14, 1], 1]], 'hecke_orbit_code': 193654784010494310, 'p': 61}
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id: 4785218
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 193654784010494310, 'p': 67}
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id: 4785219
{'charpoly_factorization': [[[-64, 4, 1], 1]], 'hecke_orbit_code': 193654784010494310, 'p': 71}
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id: 4785220
{'charpoly_factorization': [[[-18, 9, 1], 1]], 'hecke_orbit_code': 193654784010494310, 'p': 73}
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id: 4785221
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 193654784010494310, 'p': 79}
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id: 4785222
{'charpoly_factorization': [[[32, -14, 1], 1]], 'hecke_orbit_code': 193654784010494310, 'p': 83}
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id: 4785223
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 193654784010494310, 'p': 89}
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id: 4785224
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 193654784010494310, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 44, 'label': '8550.2.a.br', 'level': 8550, 'portrait': 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A4Fo8RjdSDYMmVY7hhOnFfUPJ8ts7BjIWLz3IhNcyFb5kJ2bLbs2qK4cqdHXTU5eqLN157yeeTZhCeOx6Sqx7e+rMPbX2KpqzmePT7N0TOa0xdSzi3FnFi0HFqy3Hz1Iv/2e1bZOTfF6cUZLqzWWOloVnuSTj+lP0zpj+DQsUUOnVi78sH9iy8/eOrCnqOnL3zutte9I7r38x9+oSHxDd3+VjP4WqfLKIzRSr7nvseOvOSn/svH5LffdvAl/+zvn9Hnl7ew3Gmz0q2x2vVY7SpWe7DSSVntxCx3Us6uweElwcLCGv/h+5a55dIGJ8/PcuZCkzNLmvPLlnNLCacWUy70EqZnR7z02j63XQG+rBOogPMrNc4uac6tCAYhJImh5huatZSZqQQDHD+X0O3D7s0ezXqItQKET39o2LUlZHlNg3VSZK0PYQIWy0onYvsmj95QIZRFmJB2zWPX1hFrA8HxM5rUaObaklZNEHiQJIJBKDm3Ijm7bDm/mhAEI/ASbr+qz0uuFiy06yyvtjl5PuDMEpxfSji/knB6BQ4vW266aomf+75Vtky3OXFulnNLDRZXPZY6kpVOSqcXs9ZP6fQtK3043RGcWxrwa/9ylHzXa5r3evM/ZILmFfcKYX7aGI96o/VCQ+U5b39rGfyTf/kJrrvuOt797p/8hY/+5Vf+1R9+8EuX7D++tufA6aF86TVdLt5mSI3GXaMCkFgkIN3XwqKFJZBwZqXG/QcV1168whU7RzRq4GmJ7yl8X9OsSxqeZND3OHCsxhcf8Tl+IaSbxBw4GbJ5boW3vHSVay/pcdMVHY4tJSwNBI1gxJEzlk63yTUXSdZGKfuOKVoNzdPH4dJtllGUMkp9tI6ZacH+kwFKp3gyQXswDCW3XDFgOJBce0lKd5hy/EyLvVsUzUbEWmjZND1gtd/lQ3fAY0dTnjg6Yve2Za67vMvMbMSbb+/x7a+wXLylRRpPc/T0FIdPeZw8Zzh1IebUhZTDFwQn1mKuv2yR//B9PTZPT3Py3CznlhssrXksdwWrXUOnH9PJwd2Dc33JhY7hxsuX+KdvWZSekHtOnTy9d62b3tps76m32tNf+synP8kf/8kHXmjIbHj7W8ngf/HRj9GcnlfdpTP/7vjJsz/z4GNH1InzI853FSe6cPnOC/ynf3KB6/c2OLc8w0qnkTG5ZqWrWe3Cajd1VlgvYakDJ1cFuj7ixVev8J2viNi7qclav82FlTqLKz5LHcFKx0mE1Z6hOzR0Q8tglDDXjtm12QCCwLOcuuAhZMDuTYq92yzbNg04vxry+MEWN15qadRXeerQLK1mRBR5zM0YhiO4cteID9wxzeU7E8LQMj8lidMhrVrA08dG1L0mL7os4YkjEeeXfbbPBezdCru2RCgVc2oJfM8ihGX35oSZlqQ3DOgPPLoDj5WuYmUNljuGlU7KUiflXAeWRym7tvf5zlcu8eIrNDWvzdmlNkurNZbWNMtdwVrHsJYx91rPMff5vuTcWspNl5/nl961wkVbW1xYmeb8coOltSnwL0rrrU2/cPWVO37u+IkL6eve8NYXGjrrbn+rAH7w2Wep1Wr106dP7XriqWfeeeH8+Z8/euwUnYFltWdZ7sHZnuREJ+WGiy7wq+9a4rqLGlxYnWZ5rcFqL5crDuSdnmGtl7Dac57v+Y7gTN+C6PP2l3V48y2Gi7bWiKIGq50aa32fTk+x2hf0BoJRaIkSS5qCkpbAg3pgmW5bNs3GaG/E4bMRTx4KMEmTN94aob01Ht43xZ6t8JkHEl52TcCFzpCaViRpzOwMJLGH9hKWlxu89IYun7mvxd6t8NDBEI8Gb7jFkIghTx5OOXqqhpY+m2c0M01BPRD4vkAJSAxEsWUUQW9gWesbegPD2sCw3LcM05TdOwa8+bYOb39JBKbF8toUF1bqLHc8RwYdWOuldPoJa72Utb5ldQDneooL3ZQbLz3PL//wIlfuanB+ZYaltSYrazWW1jzOr8DUzFYWFjb/37v2XP4/t23fcSIcjYaXXXbZCw2l4va3BuCnTx5ky5Z5f9++wz+w/8Ch33r4kcdFtzeUSWLoDQ3d7MSt9gXn+4pTvZibL7nAL//gMjdcWmNpdZqlTpPVbkCn57Pa06z1BJ2epdNPWesldPqG1b7lQk9wtmOYmR7wupt63H5Fwu7Ninbdo9urEXgSUERJFrhaGIwAYZhpjTh42mJsxBceahIO6lyy3efF1w6IzRp3PTLNiy71OHiuT2e1zW3XDvjSwwGbZy37jlt+7G1d9h0L2Dwr+eIjihdfqVgZdDlycpYXXRZx15NDkrDB7Vf5XLxzxDDp8/mHFaSCw6c07YZGCxgMJcYKUmOJE0AatG/o9C3NVszOrSEvuXLA625MmGvWOL8yxfJandWuOzarXUGnD51eQrefsNY3dAaGlYHkXE+w1Eu59fIL/PwPLXLtnhoXVmdY7TRZ6wWsdn3W+tqRQARCBuaSy661u/dc/KO7dl/0/tWVpejqqy5/oSEF/C0BeBTFcjgcvuVLX/rcJZ6Mf+XBhx72ohjiFMLIMBilDIaZbBha1gaCCwPFqU7K7Vec5z0/tMSNF/ms9dosrrbo9Gus9dxJ6PQUnQH0+pbuIKHbT+kPDZ2BZbEvWOxDnIZcd+mQLbMp/YHlTbeF7NliSFKJlpYohjsfr3HiQo2tMwlPHa6BaXDFDsUNlxuC2oCHDw5YXGpy9Z4m7elV7nvC4+ZLaywP1lhdbbNli+WBfYp/+Oo+D+7T7NjksdTvsLoyyw1XDrjvqZTZ+jRXX9LnQqfDA89MU9dNbrrcctmuEcg+jx8VbJqNOb8Yc9fjHqNYISWkxrJna8Trbovo9RXbZgw3XApR1HDyrROw1vfoDhSdvqTbh+4gpdtP6Q3SjDwsK0PJ6a6gM4x48WWL/Md/vMKNl9Y4tzzNardBpx/Q7Xt0B5ruQDEYCYYhjELDcJRww403xVOt2k++8Y1vOlSr1z6plGdeaGy94JnM4WBAFI6+75mnHvv148cOzw77ywS+S1OL2GItmNRijCU1wqXmrUWIFCkUDx7czE+/1+NtL17hu169wt7tEeeW2wR+nXrg0wg8mnVNry5pDT2mmprByNlgm0PDMLT0RgErizVOnbREieH0uYQgsIDAVxYtBYOhQuCRDDTX7xFcvM2ya/uAMO3x2QcV+w/N8PobA264cpU/+qzFFw32bB/wxH2K7dOK+faAmqoTxR4XetCsaXZsFjy2P+KGy+q84kVL/OGnhvhei9feavGCAV9+IOIz9zd55midi7Y12LM1ZWEmYu98zDV7UpQyaGUBSyMIWJgOiGKP3sDnqYMe/ZFmMFT0R5L+EPojS3/gPntvmNIfWrpDS2cIiwPFuVVLY6rDj79pkb9/e8S1e5ucWWrT6dXp9gN6A4/+UDEIJaNIEEYQxZCkYBE8+ugj3tYtm359bmHzyo033vAvB8PBHzbqjf91AT4aDRCIf/zsvgff88Qjd87Gwy6+VoBAChAIsBKsxeLA7jwTixQWJVJ8JXnq0DyPPtvg4JkLvO0lfV5y1YjpVpuVToNmt0Z76NMfaHrZyR6ONINQMwoto8gQxZY4tiSpu0eJjzUglcDTgpovmG4JZlqwZd6wY/OA+ZkOn3sY7n7UQ5opXn+jx/VX9LjnmZho1ObF1ws6wyEXlpvcfplhfnpAXQeMEsViN0YZwfWXaRqtkEcO1Hj5DVPcdl2PRw4osFPceJXPD37rCl96LOKLDzbZd6LGrgXFltk6M60GUy2oB+Bpi5JgLOw7KkhTQZwIogTCGPcZw5RhaBiFhsHIMAgN/SF0Q1jsSxb7MDIjXvOiFd7ykg7f/VpLHLc4t9SiO6jRG/h0B5r+UNMfSQYjySiEUWQJI0OcGJLEYqzh0JFTnLvw2dlON/z/ve41L9eD/uC9jeYLB/IXDODRaAUp0x88cfie95w4eNemutfHm9UkiSVOLFoJx+JCIIQCITLWBildFlEpi6dSalqyNKjzwTt28OVHu7zsmjW+5zVrXLO3z9x0g+W1Br1hwGDoZcBW7h4JwlgSJ4IkcUu9q91yQaXWUPOhUTfMtmK2bxqQ0Ofg6ZgP3VXjyMkm00Gdm6/S3H5tlwee7fCFr7W59dIau7YO+MAdAiUC2q2YtX6IsaAELLQHdHs+Jqnzlpdd4IOfaXDx+RpvvnVAFC9z15NzxGmNW67axJtv7nLpzg5ffmTAEycbPH7UZ8esZLYtaAQC33MXoRQghMVYMMYdwyS1RLEljN2FPIpgGEFvJFgNBSs9EHrE9Zet8T2vW+OlV6XMt+qZ1q7TH/r0h14GbEV/KBmEMpMlllFoCOOUKHYAdwQhWFpb4YMf+eKm7sC+51ve8FJ77sLKH2zZ9MLUsvx/DnC78h85v3oFw6W/+P4oHP5K99yz83U9hKkgW/IkUSKIEolSoKQDupTKgVvkrxm0MnjK4mtDTQtWR4qVzgwfvrPJ/U/1efF1a3zPa9d40cUd5tI6SRIwGNXoDz2GoSaKFXEiSVJJagTGimJ1CHxDo5YQ+BG+F3J6OeRTD0kOnfI5emoGZQIu3upz5V7FjVd0UcEiTx5usX26wdUXwZaFVVa6ba7ZLkmM5XMPBoQDyXQz4Q23jPjkXTEnzrW4/BKPs2sjnj7isXPzDNftXeSeJ3rc97QgjHyu2DvLFTsDrtjR4/DZFQ6dhgf3Nzh4pElDCwItaQaWmgdSuhXOWnexJilECUSpoB8KuiNBN4bIJBg74qZLu3zP67q87JqUrbMBw9EUy50avUFAf+QzyIA9GCmGoWAwqoA7SgkjQxS7exw7xylKIYoEZ1bW+L0/u2PTPc8s/kqz1Uh+/nc/+0ePP3OUD/36P/m7C/B//Yu/ATN/jtfhu1V8/DfizvnpmldnZqqBP4JRqAkjTRhLwtiipURJgVLCPUrlniuDUimeFviewfcsgWdp+CnTNUEv9FjtzvCRu9vc8fiIzTMD3vnKDlfsHDEa9rl6r2XnFkUYe6SpIjUSm4NbGjydcvy85eg5wdrQ8Il7GpxemsFGHjM1xbY5ze4tmou2w9UXdzFyid/7ZJOVlSluvUJz9cUdvvy4QCQem2YkzUbCIPaRVoKVKO3TGQnOrwiusg1eeWOPex+ps23e59arZ/lH37rE+z/T48EDTfojj+W1Fnu31bl864BbLuvxbS/vcWZlhU/cE7A8CDh+1uP0aR9PCaSUCATGWlIDsbGkiWFmLubaqwaEYcwVO0Pe8cqQTVOK2VZAHNc4u1ijP/QZhh6DkWYY5sCWDEPBMBSZLDGEUcoodMAO42yVSPLVAkaxoB8qjqx2eeDwffNX7J3/jdtfNB9/6Nf3/unKyV9kdue/+bsH8B/5jx9g823fLb73X8vv2DH19O9/5yuealy5u4G1LvvoAiaDpw061uhQoZXNykUlSoJWAq0kOtPGnmfwdeoY3LPUY0sjskzVUmbqgkEk6UVNjp5q8st/OgsmQSQJN147YO+WiCQBYw3WuiSOFAKpBNrzOXDCZ9+hGs2apuVL5huChTnJplnNtgXF7q0pl+9eIxXL/NePtjl+YppbL/O4Yk/KMOnxtScDpusec1OW6VZEo+6kkDGSzkix0rcsd1I6/TovvXqNh/YN2H9CMd2ucctV0/zQW5b5bx+DRw416Q8taz3N+ZU2W+YbbJoZsXtuxL/+jgHtRocnjsKBkxLPsyhlEcIA1v1nIUlgz5aUF1+TkMYecRJgbYNR5HFuyYF6GGpGkSrk2zASjDJwjyIIowprR6aIXUqAwyiGMBb0I0EnkqzGMByMiHqPTv/92+Z//zeXl5NE/rMPd0+3bXv7T/zdAfgP//wHmd88px7/0v94+8Hja3/0Jw+s1B7bP8Mv/9Mul+2wBSM7VvbRkcFTCi9SaKXwtEQria+lA7YWLs3uSUJPEkQpYWypx4YwNkSRpZ1AGBvCBKJEMIolYRoQpzX2H2ry+H5IrcVB22ljT4KvXM1HK4Crt0K7DlNNyUxLMTet2TQLu7aEbF1YI7Yr/NePTnH4yBQ3XKS4aIfk4h2rfOXphPPLU9y4VzLTNtT8IYEMsEqQpBJhLUkasdqvcX7Z44Yr6lx/WY97HqmxeUbQqLW44TLDj799md/4mOHp0y3W+oa1nmJxVTM/3WSmXWemPUW7EbPQjNl9Q0TgJXg6QakUKVwwYXEXVRwrLixq4kQRJ4ooVoRx9hhJt2pGklEkCSPhmDgShFkg6Y5reXzDuHJPHGuPYhhEgk4sWQ0t4WjE9buXec+PLPHaq880umvBH6F+3wT1nR/tnfrNtLXjx7/5Af6L/+XPmGv76tnTZ95x9PjZP3xk/5mabM/y2Qd8PC35uR9a4/LtXXQOcJWitYenPTyt8bTFixSetoTaZjUkglEkCDxB6CuiWLpoPrZESepckaRyTyFJLWlqSA1ObxsKcAuBWyEkeB4EWlALBI1A0mwophqSmSnBptmE3VsGtJprfPTeiLuenGVtqc21uxS7t3pcunNEKtb43IMNmp5mYUbRaox48jCu436nZRAqrrs05tqLLefOpiyu+gxHDd54c4+vPjHk4GlFsy4J/DbXXGT4ue9f5s6nh3zyznmWu5bdm1JWO5rptmKq6dFqeDTrllpgCHxDoFO0skUgDo7FXaWlIDGSJBUkiSBOXLwTx5Iwds5LFAui2BJFFAFklBNHztaR09tOjkCYCAaxoB8LOrGgGxpsPOCGXSv87A8t8cabodufYTA6VtO1+h93B63/IzQ7/vzo03+c7r36e7+5Ab7QtnI06n7X4plTv3P68Ina5qZHJ1H05BR/+TVNFCm+/ZVdvuNVXebaMT1dx9M+nk4zkKd4nsaPFL5WBJ5jm8DPTkpxV8SJC1LjxFaiekuSGtLUuQupzZySzC0RQjhHRgq0FvhaEPiSWiBp1gXthmW6Zdg8G7Iw0yOxa3z4q5L3f2aOTbUa1+4S7NrqsWebYffWVT76NcvKSo0rtihm2tBqxJw/JrmwGuDvdUv4wpRkehoOHrWsdg3nlmpcuqfGq2/s8am7a8y1IPB9lJzmmosF73rzBTx5gb+8Z4ZnTtfY3I3ZNJ0w1VS06opGXVIPNIEPgQdaWwfyLCgvQI67sFMDaSpIUjKgQ5xaogTiOHWkkAE6TgxRYohiVxaQAzuMYZQIwgT6saQbC3oxDEcxbb/Ld37LEt/xij6veZFgtdtmMKoRRh6j1TO1WM38fiKmtBW1P8PxzDcnwP/HBz6OMeb79x848mtnTp5ob51W9EcGPxJoIenIJp97SPG1p2ucW13ix97eZ7YdMwrqdAcpnk7xPQ8/SvG1JvDypVUSxS6VHsXCuS6x83/jRJIkLguaps5JcEki92hzHxDH3EK4INbpegeQWgCNmqFVT5huJSxMD5mfWePe/RF//IU6B45Os2fK4+ItsGOLz47NcPmuLoOkywP72tSVx8KMYroF062QmakE39cI4S6uYeiz0o1ZG1g6/YQLqz67trS47YoLfOHBAQdOt2kEMZ7yEWKKi7crvve1S9x0+QX++AstHnhqmuW+ZlM7YbqR0KhJ6jVF4AkCT+J5LlZRisw+dCi3uB5WYyiAnqQmW90yazExJKkhSlwJQJwFj3HiLoAoyYAdC4YJ9GJJL4X+0GDiIXP1Lj/67cv8n981pOYHrHUbDEY1RmHAMPTpD3xWe2fbqlb7rzt3XeE/8dAn33/dzW/55gN4r9dFSvmP/+yDH3vP6TNn5uo1ic0CHyFACutA3q7TGWl+7X/67Du8wlte3ueV13fZPB/S7dUZhj6+5xP4mijO76oAeBxLosQtu3GSedopmfVHxtwSYynB7ZKUGXODVi5h4nuWmm+o1xJatYSZdsjW+S7nOwN+6xMen3tolpXVJpcsCHZtEmzf5LNjk2DvthHaX+ODd2mOnGxy2WbJTEsy1UyRMuT0oiXQEinAWkEUa3Zv6vIgKd2BYrVrOb9S57IdNb7tlR3+/Ms+x84HeDpGCA9jm8SJ5Ma9q+z+B10+98iAD3xuloePNdk+I5hvpjRrKTXfyTbfc7GKVrjAWYqiJiNPmBmLc1pSB/gc5EnqJJ3z0akAO0sepQ7Yg1jSS2AQG5J+xI75Lq+4cY23vqzPG2+ySJosr9YJIwfsUegzCD36I48wVvQ7Z+fq7d2/cutL3qK63e572+32Nw/Ae70uWut/9LWv3feeI4cPbAo8F+ikxmIykAkBShi0EHSlTy+c4YN3Btz5ZJcbLu/yD14z5M23rTE/HTAYuYMUxx5R4hHFugiUksR52XGaa0tJmgpSI0qtbQSFKikuMJcocskig+8ZAj+lHiS06iHz032G8ZAvP2n50FemeOCpaWZ8j2u2W7bOSjbP+WxbkOzYHHHR9lWeODbkE19dYEppFqYE7aag3YjpDFI+87UaLd8ihAPWMNS85cUhn77f1cR0+oYLq5odm1q87SV9HtjfY99Bn2aQoKRwIDcNRpHT+t/76g6Xbb3AB+/sct8z05xYrbOlLZiqWRq+oaYNvudcJyXdheyYHPLyI5NJNWPKFS7JgO4IAuJUEKclsEeJoJ8IBlmNUBxFNOsDvvP1q3zXazvceJlh04xHf1BnrRcQRUGl2bt0asJYMQgFTz19YJP0N73n1ttebDrd7vum/l8A+d8owHu9FYb9GAHf9/BDX/vVr95919xaZw1PS5LEEHjWgc06ChXCIiV40uBLSc9rcqobcOb+Jvc/2efPr+3yjlcPeMOLR8xN+4Shq7WIEo849gpHIEkVSSJJjCRNS4AbmzG3KWvKhLBZUOnqOLQ2+F5K4MfUg4hWfUjKkC89IvnTO6Z56ugUIg7YM2PZOm2Zn1YszPpsmZdsW4jZtaXLycUe//2TTZKwzo4dgumWpt2EdiNGeBHdYZPplkUIgbUQJ5LZQJGYhF7s0xukrHYVpxfrXHVRix/+e2v8yp8FHF9solWcXRiaJKkxiiRb5gJuvKTLtRf1efr4aT70lTpfeHiaM506zUDR8qHpWXxt8RRo6dL5QoxX1xnAGnfRpUaQWkhS4fzzVLikTSoYpoJhCqPUEicJJoqYqw1442vWeOdrerzsmoR2TRMnTVbWAsLInacw8hhFLrcxKsAtiWJ3ntZ6a3z17rs2pSm/evPNNyenT577H60pn6mpv7ms598owDvdIZ5ff+uzB+7/b48+fGe70+0jpUTJFK3BSwWpZ7E5uIXIakrAU5ZACnrSY5goLoQBf3l/g7ueGnDLF/v8xLf3uHJXl03TirbURLFPlHgkiS5A7sAtSY3r0XR1WaJIvzvmNihl0cqgdULgJ3gqojuMWezG/JeP1jh6YYZH9k1jjc9cXbBp3jI/JZhrK+amPTbPSbbMJWxfGDA3vcrnHjU8/Mw01+4QzLQkrYak3TA06xHCCwkCjXbVBi7LmEqGoWY4ikmMoDc09PqWla7HueU2t1/e57ar1vjgF2vUVxRaxg6QVpOkPlHsejznp2vcdHGfmy7p8+ArznB8UfLHX5jmwlqDU8sBvpI0PYGfyzBpsxofspRnJlVwTJ5YQWIgNoIwhVECkbGQJpDEKBWyfWbINbvd+bj5ypR2XZMkTTr9gDDyiWNNGLtVNow9woyxw0gRRQ7cSeJWVqUU3V6Xz3z+S3Mp6X971ctuXu33B5/4m8Tk3xjAjx45zLat29Sv/uafXrLvwLNtla4y0/KxOOZS0gVxNtMJogC508FeAr6EujYME0Hf8xkmHstRgy88PMW9zwxpBiH/x5s67JxL2L1tyO1X99DCtYgJ4eSKy0q6WmlrK8yNRUhXoBXGFksCMuHpo5KH9ms+9UCLp0+0iJIGLa1YqFtmm5aZhnU+eFszO6WZmxZsmU3YtjBk68Iqdz0V8nuf2sTWac1CG9pNRbspaDUS6kHIvc8qRpHGazpQWevKEGpa8aLLhtz/5LQrfBqmrHU9ltYCzi/N8MNvPs+ppWXuf2wBTwIixgBJojN2lPSHmplWjel2k9suG/CKawf8g1ctsv+k4dMP1Hhgf51njzRJhCYMFYNYoYTM6nuqgWeWE7CGxFisMXgiZcqPqBFz2w199m4dsWM+5nveEFL3Fc2aJoobdHo+UewRxzpbWVXmaOnCZ4/izGePlYuRslVDALVAM+N3MGt3tg88ceaSa27+XnXo0KH0kksu+dsD8EMH9zEzM+U/+cQjP7BzgV87sn8VISVRbMDarDBKoLPMmiWvCMwCvcTiSYFWFj+1BErQSGGkBcNUZ/cavV7Kr35wBpvEbF4YcdWuEXNTCe949ZBdmyLiWGR6W0KFucn0p5QGIQUfubPOE4ebCK05fqbB6fMNanXFVCCYblraNUO7Bq26YKqhaLcUMy3N3DTMTydsnhuxfVOX1K7xka+2GfabXLrD0m4oWg1Jq25o1RI8L+Jz99cIBxJvk+sWzSVKs6544y1D7n7U0A8l/WFKd6BZ62nOLTe4cm+Ld7ysyyNPNzi+0kJJA8SZXvaIU7fcjyJJf6Tp9H1a9QbNesiVO0bcevmIkxc6HDu7hvZSHj+i+fOvNBBKOXBPzh+0BnDnK45Sdm9OeOerh8y3Uy7fbdk8B2niEUYtksR1TcWJuyeJJk4VcayI0wzgsSTK4iPndGWeeyJIUsfgQoDnWaSs8fSzIb1U/drAPjTYvWfP+5965pnomquu+tsB8OMnTnLu/OJl586c/q0nH39YNhs6s+Tc0qckWAVFpJcFeVKCTJxG1MqiE6cBY+0i+XoKrdQSpYLQCMLUIzQeiYHFfpuvPGGwpHz8ATeyAWuye57FyyyyrCJRCIlUiiTWSKPxtKQVwN4FS9MzNAJDI4BGIGjWJa26ot3QTLUkM22Ym0pYmAnZttAjZZX/8hc17nlyExfPwUwjY++GpFVPaNQjmo0h9XqDQEmUzDQ47pjEscdoKBiGKb3Q2ae9oXEtc02fU+eneOlVIT/+Hef59T/XnFgLEMJgbYxJLXHiEcWSUehqtFtDTbPm06jXaAQNakFMqx5x46URvhdz86UJ3/OaAVolWRLIIIQdF+WZpDNGIoQk8BTgMwo1y6va1e2keczjHp08dAVrceJioTzoz12t8tGBO0mzZFuGj9AI4sTytfsfkqlRv5XEo6+ORqOn/iaw+f8Y4J/51McJfF0/cvjQ2589eFBYnEWVphnAhSXBlO37onQxcpsuTvJMonUtWGke0ZMdDEtiBImxxJlGTIwktpLUaGITkGa2V/VWZCkFaCFcplJBrW6paUtNpQQeBBpqvqUeCOq+pFGXNGraAbwpmG4ZZtsJc9Mhm2b7bNu0zO99yvCBL2xm57RivmVoNxWthqLZgEY9pVWPObtsOHw2oOa78lvIK/0Eo0izd4thy/yI7shnOLIZi0vWeppWvUarMc33vOYCR86e4/c/sR0tNRZDalJ3LBJNGCmGkSuKGtQkjZGmHnjUg5ROz8UYvpdmCbMULV2jhJQunS+yu3Nws2p761bCjsmqLI2La1x8U8Y6SeUxSYVzsjLL1gFeZPatc2OSzMJNs0DW5ShyT16gleLAvqdEFI7evmPH7sOf+PjHh2/9+3//hQX4K2/p+IvLi+8+dvDCuxWh9H3plp+sok0IQEhEatxAh0IugJQClUX4+QdODXiZVZVm9pW7W1KbHZw8WWHBWFEESlXNDdlFlOl8LQ1aglbOWfCUwNPW+cZaUAskNV9SDxT1mqJVl7QalqlmynQrYbYdMj8zYNfmZR54NuSDd25jphawuWVoN4QDd13SrBmatYRWI+SBA/D4/gaXLNhM95Zp82GouPlyy6W7hjz41DSD0DIcpfSHOgO5R6NWp16b5jtfvsLjz17g/n1bwCqMSd1Fn1iS2Bb1JMNQ0xhZ6jVFzTcEvkfgpwTaoHXqCtmUcbU/0iKlKw1GWASlniuDc5Ed3xzkrqGieG5EBnJRgLp8Pnkns3Ep8hP5uTXZ+TUGVtYGcnDg1L975ozvW938BSB6wQC+stqXa6PBz37uvvf+S290ym/UmowiSDMQGyMwQiCEQQpJKizCuAObSouSllQJdGozlgaTQmJcM63JDoKzscpUeza8qkjeVDLvYyuunFgplMwylopK0ZbL/gW+ohYo6oGgURe06pZ2I2WqmTDdCpmbGrJtYZX7Dwz52T/czIlT01w0b5huQLuuaNYVzRo0ayn1WozvjeiMLEoqPGWRsnxnOTDixKddjxkkhkHo9ucZjFJ6A0mnrmj0AmpBiz1bYn7uBzr8+z+SfG3fZiwKYw1pakjSJEulK0aRYhhI6qGi5ksC3xL4ikAbPM/5/a5C0zlJUlpUJlOEsOsadE0Wxzhr17F6XjefGoEp8g3OGUqMcMBNhVtx0wpjZ6tyFdg5qE32mKaGMDIcOXPSf+NrxU9+/3e/y/uFfz74v4Vq/LXT+X9tgI+GPYxJf+GOO+755/c9cKF26fZaxsoUMsRId3VKIzEZsFUG5lRaUmUxqSVV2RJlsq8NRcd4voQZY0u2zoNVW8jtMYDnq0S+UqisSUIpZ5cV5bba1bT4nqIWuJEM9cDSrBlajZR2I2aqFTHbHrJtYY379w/49++f58CJWXbPOoelVZc0G9Kxd93SqKU0ajFxGvEnX2whlcKTzgotGNyKbFn3+N7Xr/L5hyN6UcAgA3h/qOj1FZ1AU/MDAq/N5TsTfv4Hl/m37xfc99RmjJWkxqXV48QVmoWRIay5ctcgENQ8QeC7zKavbZGx1coglVs5pbCI/LHKEDYHOQWj5xMGTP48kxZplkzLpYcDuHstX5VzYBtTIStjM6KyGcgdEezeUkeFi7X777v3X7zopleK1dXuT8/M/PWSQH9tgB88eARjzW1PP/V4fbomGI7cLmGyorGNdS2VeTZRGoGRFmVtWfykbPFh8w+ZVgGdgdxm4LYZg2dZf+zE+8oBLgUI6eaHyAp7a53XnUg8T7r6DV9QC9zMk0aQ0qw7cLebEdPtIQvTHR7YP+Bn3zfL08fn2TEjmGtWpElN06y5+pV6LaEeRHheyOnlGTwlUNJktlwZZKapJEkUW2csSRLTjWsMszaw4SilN5LUB4qa7+F7NTw9xRU7En7+Hy3yb/4A7n9mE6mRDuCpJU7SjMkNYWCoRZKRrwoJ5nngaSfRXJ2KRUuQ0mZEYIvCrAmMO7lCvmqWwaG1ogCtsRl7W1GsvFVAp5nkzFvqyvOalw64v6aUoOZLTp+H3uiJ+qate26T/w9mlP+1AP6pT32OtW7YuPeeL/mDfp9WQ+F5pRzIbznDGpkHV2XZppGW1Lpg1NjsSs6BbssPX7gxuRzJlk37HO9NirKIqtT5Iktbu1nbpTyBmgeBb6jXLPXA6edGPabdiJhuDpmf6fDwwRH/9r0zPHl8gW3TioWmYaouaNUkjZqiURfUa+7icKn+iPv3Cfojn5oiS5c7DZ43IaRGECeaZk1x+9U9Hni6zSB2MmUYpgyGil6gCHyF7/mZfp7myp2GX/qhC/zU78J9+zYRG0lsTNYsXfZghr4k8I1jb6+so9cqv5PJlIqjlWV5NwZ5bvGKijyENMsUG+Oemwqwq2xtKuDOe19zcOcyU+DeR5y4ZKBZ7fKlL37e/5Y3vqbxta9+cXD7y173/z7Ajx0/yfYd26c/8bGP/fc4jl7uexbfyw6YdPZqHrDkV77JnDtlKkC3WZ2IckGjLZigCurxR2ttwdxkB6U4GcIVFAmZgTsrMlIFwB07eNoxme+B7xlqflZgFaTUM3nRqodMtYbMtLo8dijk3753hsePbWLLtGahYZiqQ7MmaNYVjbqiUbB3Si1IaDVG3PW4z1qnxsxMmSbPAZMv53Gq2DSneM31fe56yLgumshUQC6peZKap10jiK4jpeHKnZb3/NAFfup3Lfcd2ERsNHFeAZjagsmDWBbVhb52nVGeFmgpUDo/NhTvr7gIydP6OezKhNDk3VQeCzlpS11dlR9l/YutSJ+y0VsIEAaMMS5OSQyN/vDlh46c+IPXv+mt/+T06ZNr27f/1XaF+ysDfNA9w7FDiz/VXzv5XSZaoVn3sqo1xwZ5vYOTD7ZIB5c6rnIwbClfSm0txpcuU1bAjTF3UbQlKieETE+WNd5KlRWDWuHqM7TF81xjcc031PyUei2hUYtp1kJajRGzUx0eeTbk3b87z2NHNrNp2mNTI2WqYTNwZ+xdk9QDx/61IKERRCQmpBcFCCXxcgYvNLjIgmZnqcWxR9MfuXKBqMZMDvJRysB3DB74Mmv+yDegtVyzx/Ir/+Q8/9fvGO7bv5nYaMJUEKV5K5mgFrv6H98T+Npkq5dr+VPZilY0dmeSTlbiF1cvNHa4i4I1a8djIbcK2zEZaUz5WnWVNlX2zn9ffg6FJRUgU3cBHj91AeUf+a65TY8djuPkr9zM+VcC+IXzp5ma3bb7gTvfd61Mz7AwI7GYMqjLf7CyvuUfwuZ6euyKr+q5cTYopIjJlsX8AJcIL1m7GlQWFqTr0FFZMKW1xVMO2L62RfVgzUsz3RxTr4XMtAdMNXvcvy/hp39vnkePbGZhSrNQT5mqWVoZuOs1Zyfm4K4HKTU/od2M2HfMcucjTXwp8ZTJLvxSR+auUJwqEqN55Y0xl1zU5/CJOgsNN29kFLl5JoNRxsJaobWX2arOu756N/zSu5b4N79r+OrTC4ziOmEqiRJLI3GSJfBwINf56mWK3lap0mKFU1JUAC4qIGedXilBXiGesdW2IjHzc7pOao6vCjkplufTvWiM5cl9J0h44Nqf+lfv2n3y5OnjO3d+49sdfsMAv3D+HPVGe8/BfQ/+59XVzlutGdCsa/eB8jdWOQ7lQSjLM3PbyVYYvPjQhrHvTy6JFVhnx7zC3FVwC4tUuS3owKBVxtrajZjwPEPgGQI/oeYn1IKIRi1kdmrAam/A3U/BL/3pFp44NM98Bu7puqVVFzRrovDKnfNiHHv7DuD1ICRKU0bDGjXlLjKZAyb/DLnllkqSRDstr0PCyDKMRQXgBt9P8T2N50m0UijpFQBHwHV7Bb/0T1b51T9LuG//HGc6bUZNyXRqaSWWWjZxIPBs5v3nToot2DuXKjnAi/ebvekqzm31PIwB1Y6zeQX4OYFtBHAmH7Nzmv9+YyGOB3S7a2+9977705tuuO5fnDt79tiWrVv/ZgHeWztONKrfunph/9tXFw9RCzSItAg8mAChawsTmIpMoXBCcjDb8rkpI+lJgJe3sXREcRLcuIe8tzKrfZE2qxp0zK2169j3i/JYB+7Az8A922dxdch7/qTBJ762wFJ/hoUpyUItA3fN6e5GFljWA0kjsBmDO+1dCyIg4o7HfFZjn7mAsXpsRPVEOx0exZp2oHn1DQPuPxDRiwOmYpN1sRv80NWq+9oBXCuLkh5CugQNFq7YKfn1n+jy6fuH/ML7NnNqaYbhtGbaF7QSQyOBIHajl33lBhp5eaApRREE54/VQL24MMU4y1ZBmRfQTerqjQE/cUEwQWATzzNvhSeeOsiWzZvfrr36nwwGw2PfKG6/IYDHUR/tNS49e+zuf5b0H2V+xgCpC5iyKDqXIcUbyyPuiv4ukjJWVD60wBpbAbQY+9DjAM91d3mlu4pEW7gAMsuMOhvMATsfR+Fa4FJ8L6HmxwR+TKs+ROsBdz2e8gefafOpezYRmTab2oL5mpMlzgLMfXKV3UXG3FX2jtE65N5nphlEmq0Nm11wkwyeBZrG1W/UPMVtVw5JjAP4MBaMcjckciPXPJ1bnCoDoss+OrAJ5qcF3/WqPq3gDO/7zJC7n5njXFxnUJO0E0tTWwdyncUhymZxic1AnhFDFr/k9ViSksUn3bpx5p0A7CS4q7hYB/bq79rg54EkkXzuK0+y96JL/9lb3/zSR7u9wcF26+uPhPu6AP/iA6dIVz9GyMw2wgOvaAZn8VWTOE0xqXS+pxHrwFmtwx6THnajnx2/GEpgj68MFMC2E9LEFj6ukiYDuMlqvjNwK1eLEXgxvh9T8yIajRG+P+BPv6D55f+xicOLs3hBjS0twWyQ0g4szQCaWYd9PXDZzlqWEHL1K2m2Ejh5stRN6Uc+vlL40hYBZv7eLaWXnGbp7SjxqHsjtkwPWRu0GMYiG7fmYgXPSzObT2V2pyr86zJwdZWPb31Zn5uvWuSX/njEBz63wErSZBB4ND1JW7sanECDryiaIXSe9JEUF2SeBS6O9QYAHwN75bzZyccxQG8M4OpFkX9tbG49Osfp5FKHT9194BVnOmbbqXPdg9YeQIjnH9P8dQFuTMpXjr51j44f/L0Fcz/z0zHdgSZKsqKb3NfO0rlVnzp/bsbqGzYGf8n8z2/q5yllZwfaUndneltJg6wyt0odyL0EXztJEvghgTfk2PmE3/90k499dY4j52doNzxmazATpLQCm6Xec3DLDNyySArVMu0d+O7CaTdDPnqv5uDxOjUlXMYwd1AqUUoxxsE6HR4nmit2w7fe3OMPPjtHv6Fpx5ZRbAmiLG5Qxg1AUrkzlIPcq6DMrQq75iU//Q8HXLv3FL/7qVmOnJtiJakz8DRNJWhkQPeldRdO5jKVLF6WMguRbQpTtRAnwT3xRSFBKsA1G4DY2HH2NlVDwlYao43rLFoMfb721GO867t3/t4Pf+f1bzKm+3WlyvMCfBQaAl/wpXse3nHm1JMX16eW2TLVJE5DlNJFF42xJcALyWJFhZXFGOAnXxtngI0BLkQpT3Jgl/Ikmzab1VgombN3iqcS17njJQRBiK9DemnEb33Y532f3sLp5WmMqjM7pZj1LVO+oZExd6NI38usTiWTJpl3XoDbd9nLMI44eCqgHwXMBJmLkyedcleicpKLmpRY025q9u6IUMGIXtRi6Avq2QwSP5NXXiZRdO56CPUcwatiYWrAD791wNtfeY73fbrL739kjqVhk6GuUdOKhhbUlSVIrGNz6aSKlqWtma+KBZMzLg83uq2zE1nP1M+1co85bNk9McLNiTeCYapY7S1zcP+TF2+fauzYuuulx0yaINVzw/j5GTw+QUJr4ZbLzYdP2/u9qUaN1Bh8LykAZUy+fV8F6OS6fAPmppKJrLJ3JkfsxFtwAU7l4GaVb+XBz9nblBOypAO3Vim+F1PzI3wvojOKuPcJyZ9+oc1HvjrHKG3h+z5zvmDaNzR9SyOwNPwS3LVAEgSSIJMmLjGUORMZwH3PZT6PnrXc/XCDKPYImnZdgJnfcos0L0WNYoXnaV5zc48PfqnPgVNNhjU3miH0LH4CXmzwIoNSshxIKmQ53KfCfKlx/amNQLN5esj/9Z0DrtwV8oEvtHho3xSLwyYj5eN5mpoW1CUEMrNRc3tV5i2FjN3ZCOgbuFzjQC/laJXJzTrmzoJvW1qpiRHEBoapJJWWk8uz/Mx/Pe791n987YdFY+36lbXe4l+bwYNmW9rosVuD6GNTCzPnsVZjrERgXZ+lcS1iJmdxK13aFrBGVlhbjF2x+QemcgU/120c4JXCIGFK9pYmswPTYgRcLke0jun0Y+55SvCHn23zhUemWOm0kPUarbpi2rO0fUPDszR8S90nY23H3PVAUvMVNV9Q88kq9EwGbuNWBj9B6ZBnT8HpTs0lVjJ9O544KS1U1weZlZwaSRRpNrcFl+4c8uSJhEHsEWYzvv3I9ax6Ks0kSp6oATnRmVPkFzIbMk5dffg7XzPkDbes8uVHe/zR59o8tK/Ncq9BR/r0fY2vBL4UBNK1DmrpdqlTosLoIiv7hefU5bbypAr2QoaMsbgYkyumAvA0Z2/r2DvKBolaazm8GPGe3//01A9/52tvfflNV36W5xke9LwAP336ZICxvxP0n2q2GkOiOCA1GqNUUfxujMRomTF5tdFXZNpbVLS1GNPZY+w9Cer8eSZNqsX5YgzYJntMUTLFz90MGbPYS7jrYc1n7mnxibunuNBtImo1vJZHW8OU5zp56h6Z7IC6L7K7zEpOM93tC4KcvXOA6wTfT6j5EdbG3PFIwPGzdeZnBZ402TKfD/MfR4E1ZflpmiqGocfuzYLX3DDgY1+L6Mcew1hQ8yx+4lg8jCtzHKUq/GqEHJMp7i7LRgXj/PZ6EPLOVw153c3LfPyrPT59T4O7nmhxodNgKHyGvkZ7Ci0EnhR4UuIJm0kt6xwWKhKxAvCNFEsV4Dlb5xd4obOz76cZuA2QWIitY+7EkE0jS8EkYBJMPOLY0SebO+Zf+jujwbErgeFfGeBnlixJPPzug4e+On3V1lWChkCNDEnikaTKgdwoTAZym+80nIM6lyiFVBETy1V5SIpahAmE5143OaiLRwdskQFc6xRfx9RqMaMw5cBpOHZG8aEvTvHZh9pcWG2CV0O3PRpK0vIsLW2oe5a6BzXPgbvmuZmErsxUVu4i+77NQG4KkPuea087fMbw5NEAPC9b5m0lRS/GqG7MJUhF5qa4cc7X7A25akef/acbDGuCRiIIYkuoyKw9MzZOurQgS61SLPWZFWmMyqYPeIwij3o95PvfGPKW29f4/MN9/ueXGhw7U2P/6QbRWkASaEZaI5V06Xxwo6yzgDMPQpWo5CM2IKdJBs9XcJMzNmWJRgqFNDE2H7GXFbeQFOAmjSFM6C72OXv6IYiffxPa5wT4TGNRJEn448dPPDr95NN1brks4ZbLEvxaSk1J0lgRRSXI8052k83azlmk1N05a1fZuyzkyQfyFJwuqoGlKVlbmAzgKUHgJqkmacq5ZfjiVzSHT9W584E6p1frHD7ThCBANTQ1rWhqS1Mb5yJ4lkC7wfGBRwbi/C6zu8oATqa5M3B7KYHn2NtdWBFHF2HfsQaeHLcHC4lCWQ9eZm/z5gGZ9Tl6XLV7yKWbBjx1JGGQeLRiQajBz2YCqgrApRQIKceYHCrLvanIoDT7G6kiTj1Cz6ddj/je14e87Noup1e73PGgz5GTAZ9/pMGZ5Rrp0MNITewrhHSVdEJkf48841n6QxtVIlYli4H1gSbZMKii6Crvq03Le5RCnCJ0glQJt1wbcuulIYeOPDK/+6Kf+mcPP3X0V266Zu+GQvc5AX7ffe8njFJ+8wNn2H94jr07Uq65KOIVN4+4ak/CtpmEi/dE1KwkiRzAUytJU5Uxdwlu7DjAbfUw5G9rEtzYsYDSSZFsAm2QEqeWIycFTx5RfPGBBk8d9XnmaJ1u6AbP4Pmotuc69BU0tKFe8YEDnddp5GWzri48yGSJ7yt8X2YXgC21t5dmQ/edzq/5MdZEnF+RhDZAa4kvLbpis00QeAHy1I73O0aJh0CzMBsh1Yh+7DHQwjkdcVkwppUZy0BKUTXas2FH2TkomLzSQ+mlqhg/MQh9tsxE7Nocc+NFIcNoyP9xtMNTx3y+eH+NJ4/WOHKiRpwoCBRWKoyQjGWDcojnBVrFJ83rEd0eS2NsVvUMc1CT+YI2ayCPDZqUi/dGbJ+JuWJvxCtvCrn2opg92xIOnwqbzx79zHcZq3/lr8Tgv/b+z/OFx5bVHffcLZ44WGeUSh4/Ak8eTvn8A02mPMOuHRHXXBHxhptCXnVDhDUC37PUW7gCcFxLTxK7g1xKE7m+2DgHuM2Z26C1m2MipCGOLIOR+96xU5I/+0LAIFY89kyNQycDlvo+YeqD9kF5qLbCl4K6goay1BRunJnKCo+UY23fEy7pUQW3J/EzWRL4EPhkrolLmXvauUguIxpTr0VcWE354n0tOr2AmSmBzrx4WcHB5C0vJCsCQiMJQ8X8nOINt4/4/ENDTnSaDD3pZIoGL7F4ce5ZZx67TJ1dSHXWiSz+hrG68jcc0P1UkWpF4iniVBPHXmalxjT9mJddk3DblSFve8WIZ09KHt/nMYwUH/hig6PnPBCSwVCTRipLd0qsLgFux1qDckzbcn+Vwgy3iMQijMkqT1PqjRTPNwib8uobQl5/U8jVl0fs3p4y5Vnmp6y7iI3mmt0JWzY/KOqt16q1M3+RTG/7tm8M4AKYm5n7reMXGteN1DR47gozxrA4MCwaw9HVlPueTvnzLyXMzyRYY7jhsoh3vnZEmu0OvDBteNE1I5o1txxvaJ0WDO78JimhMxA8/qhmueuq9h7Y5/HJr9YYxYpRrDh7zscITWw9jPBAa0Sg0VLiK0FdWmrKEigIlCVQ1tWA68zz1SVz+3lfZgFulfVoioK9fc/g+3mBVlqwt+/HKBXxlUcVH/taC+VrZ7eN6e/nZvDcC3c6XBKnitHI4y0vHvKJe7t84I4p+kmNZqbDvVyHx3lSxhbdQkLkV1J+nGVF61cAbrIueO2Y3NOKRGt0kjqgqxSl3CD9mVrCiy9PuP3yGCtC3vGqAaPYJV3+8qsBD+7zqQeCpa7i8ad9un2JmPRENzzhroy2WbO86PqI+enUNb6khne+dsT1lyZY4/AzN2NRSNeHmkpGQ5UlyVzMV5PyOikXfgvED39DDN7rhjRbfvs33/uJyxsKhVfLrjgD0riuBQzGpITGcK5jOLfmLoBnTxg++ZUUMNjUMjVjuPW6iFbNYHIX/zlvIpv4KljrKx560qfbUUgtCY0ktNoxk9C4ucAaITVSSjwpqCnn5QbS4MsKmGU5o8+BXJQND9o1AuSNx1VwO4bPymq9nMHTyj0h0DHWRpxe8onCGsGUxM/S3iqryhvLYuYdPZTp9RLkzpWKYo+ZlmLnfIQvRgyTgGEiqGs3BDOvIckTWkpWy1tl8bfy1dIlf0yZPTUm650spVGSpFlSTGUlDglxkqJiN2ZCqxSpEnbMm2zFMFy5a0Rkh0ht6HQEDz3psTZwsmmsBPE5QG4MNGuG266LmZq22MTJ2LoCJfL37ZPGgrgwMkQR69msjqcfBkobc/muK7+9PeiF3UYreH6AB+oExPpX0vCZVy11OwgZZO9VFVVj1hqQmXYy+UQkQ2INnVxTKUt3zXD2K9XikucC+HjxsRUSk2+5QPYoVBnkSIkSbuZeIF3K2Zc224LEZvNPSsbLwe1p11Hvtt6jALdr63JbogS+wNcUJaaOwTMW125PIE8neF5MEMScXDL88eeboH08KcoAs5AnYh2DVzN8+ZBQBzY3WCeKPb7nDUM+fteQZ8636KcejcRtSuuqAG3ZiZPtyVP8rWI1FKUSyOzbksUFaQb0JJVorfDSlFi5jKkr6HJ2ZGHBqrRwr2QWD2lhETZlvmH5lpcaEKaInSgeN9Jnoni0qUcau2lk1ma7Tdg8hpMVIqiaFy62EwKsWeK+R5991VJ69leMSX7k6zL4I098EKWkv9jZR5IE+LjCHOFg6wIjq0izE2RlXnOQsXwRNFhQltSrBhPPx96i8iizZgYXqeXRuhbgiYyVhZMCWlJ5zJtqK4VEmsocFAdyX5dd9SXAZSFbAt8WLW2+byqDcxK8jL19HSNlxPFzgsVuDaE1gWRMnsjKx8o+ZcUHHh/LUAaCiijxmGuH7N4yZP+5kGGqGaUQpAIvtXhJpsMTCmepzCyqcbLILig3adeWHfCFNDLo1JAqidL59uU5k+dDgqrANiiRT8YyRdKtmqNAZFGAeO5zPmY6TJgRpsrUE8B28Zw7mJ4yBH6fMxeeZN/nP+RvlO9ZB/B/8Z8GCCE4fGqKFJj2nSOQn5zcnE8zFyC1gqTwNGWRdsWWkfNGJa/5Cah633mglBf4uIlUoIXN7hloMwmQPy8eswYDXZSCUjTY+ko4sI+BW7pHPwd6HnxSbE/oZ00SuUTxtNOnvh+TEPPpe+ucX6zjTSn8XJpIO+6gTPJYRYOXIxjKpM8odBNs3/ySPvc+MaKb1BhoTT0xRFk6XcmyIKrMMhrKzqE80BTj9R0mm6liIVUiG9chSJRApzLbxc6VPeRAH0+o2WLsmxQmK/iyFbC7S7h0wsYv7hLg2QU45q5VQVzOmSzJIPv57Bcl0p3nt790SCqeASw/+3wAf/8Hv8BUq/bSP/zzr958ji7NmvsAOSyLWgJjx016W2V3MnZ3SZ+i5mAdtHPGKQGwLpEARRZNZpk0XVS8ZbsRy/xRFKMQqsAu5qAoXD/iRgDPA85cd+tclthMb4/XkvtejO9FnOsYHjlUB+2jM3miKwVKY9m+apBJtTa+MnYhzzqmijj2uOGSkLnpIZ3VBoNE0VDgJe6zqNTNmFFxFeBZzqD4Q3KioElkPZJZUk655l7PCFIlSZUhVYIkA3kiy+I1mTlDebWmzAAupB3LMo9Nyiqk+GQmj0q5RvlY2JtVKWKqrJ6BP79AhEDgI5D4jU03tze//qVnjrz9nm0XfcvGADdJxGBgv6XtJy+a0iFS67Ldv8o4ykkSYyvfy0a1jRfOjAM7/yCIYvEsyzHz5wUwbBaoUSnhLLWnFHlLWlkcpBRoWXb4e0qgiu6VEth5861j70xzawq9nVuCjrFLcHuZ/tY6RhDzqa8G3PtUCxlofCnc/O2igrD8PGWmbzKbWR2NlnviLnk2HHncfvWQb31Zj9//VIsoDeinklrqtu3TsqxWLGSKlBmLV//UczE5GJ3tumEEqTKOxXNwK4GWMhsQVDJ3AfKxkoms+aIAOhWAj7P4GNFtUJNUZfIc4CW4GQN7Xj0Zxyl1478omA6/xRhzz4YMfuLEaabarTd89C+/+A+H3SVmWm6cQzEgMSuCKbqkyTveK+1njFeGlW9+Yn3OP2z2iatMVwV6tS5ZVl8rRrHlQCdjcIrxEFpWWDzrhvHUOLjdOIUJ5s56Nv2svc3TecNBUrnHRMT8zzvapDZAFdnLaoBZ9jXmzsaYBs8IoRimY6QbhZbmwaZG4PHOVw/4k0+HrJmYYVpjmAq8hILFpbTIRGSFZyazCye1qKS0JkUF5IJUu5EOiRJ4ypBq62RLVr0nlXHpemmyzQwyQBdZ5bKyswQ5WXlFtclw49tY+QYCTD5qJK9nqgTJ+XEq4hbXjxBFPqv9LrIx+oeXXf3qO5eXznx+bn7bOMBTkxDG4SXWjC4WZkC7rgkTWw5LzIZfmioTmLxYptJwSlVfPa9vkjH4eMeIK64nSwWvr0suO0/KfetzsOd70qhMlig1MewmA7ZWonRSCjvQddy7xmSbMXcZYOoKewdexCOHJAfP1LDKQ0mJLw26elFmNmHhEE4WaeQlo/koDSMqfrUDeZx4XLwt5qqL+nzt2Tqx8hkmgpp0A0p1IrIiqKwLJ8l0OJJMIFb+pKiwuKhII/eoszhAGZtJleyCTYVjbSXH2Nsxtyzr8nMtXimzcJ+5XKmfC+HjlYUTjTPFyDhR9O6mFXAniRusv7wWUp8bXRxH0SVRlHx+HYPHoxViOcSaEVpLrHAHQorqhNfx9n8jxXpJUnxdavfnBHjFLq0mRfIptLmulBWmLiWLKLvnBUWnS87k+b6X1e2/c4BXh/+4bnsKYBfZyoK502y78Cy41DGWmD+/o8Hych0RaHzp3B01qb8nA8wxH7wcl1Gt4y68aaOIY838rOQ7XtPjkUNtwrTGQPnUU6fFx8pZk0opKybzxDNHK2PxSSlQjscru2e0odgwLJ9KoJRFmby5RI7JlfI82bFzVgV4+fknorAJApwEds7keYtfUYFpZaVIzVmLSWJZ64ScOrtCHI2K31kA/E/+/KNoLTl5qkucuMZTT4M0osjvlLPlyilUVXBXqwTHCt6fA+AlyO0G4M6ywBWwqLGhPuXMQZXtIJE/OpBn49r0OMB9nQ0A8vKtA7OkkLZ4RSreZM/TsbtWrnPnmePw4S+0CKWPkirLXo7PZJnMYE4SWLXSblyHZ1o8VSSpJkg13/H6EX/42QFPHKkTK4+BlPipydwjgUyrRGCz9rJq3sFkf2t836Iqk5fgdkNPtcnjHYNM8xETZfdU0bcpK1q8Cu6Cte1zHoPiONhSuFYv+Or7LIA+toNetluEhamWYLD2JA/ddzCrV6wA/MTJ0+zcsa3xr/7db+09eXaFIANO0dAr3EhkKbOpUzKfAJsvsxXdnYGe55EnUDnxk/pbbgRyMSZP8jrrYtxBZfxBdWqT1jnQM+2tJsCdp++9vDHZuJkhRYtYlvjQSXaPUV7EwdOaXuSD0pk8sRPlsROfa9JFqejh4iRWU+mmmvjRND3B5dtHPHEwIjUBQ+NTS13Nts40uBJus1Zns+asaciDzJLJS285n0ejsxgqnxirsmGZLp5xjJ0aS1ncldfZlC2DBXtTNqaIKrgrcmUdyKvTGMZa2DK7MCsYy+VJeaxcubG1jvQ2zyRs27Gw99rbf7zx1rf/2GB2bqsD+Llz5+h2u6+/4fJNP3Xu+DMo6TI7blBizuAZqAvpAoaN5l1UluHnYO7isazPKSab5vXTxZTaseGQZQOBKxetPFaYW1ZkSXUXY0+ReeEO3A7A5VCgnME9PcHeeV+nH7HSM/zmX7RYHtYQgefkiay4O9VBP18nY10cs+zk2aqbkqXuk0TTbmh+9Nt6fPmRNsuhTyQ1Qynxix7K6sWVbfCVuxjCFGW0FpOB2xSZw9JZcb/LWIsyLjg31lVnaCmKpu5xYJdgr/bJ5mAvgD3mqjz3cWBMh1flWxmnjI1rrjy3VnPirKExv+Onjh87eE8cDT9eMPjRIwfxfZ+1lbNMNwVWqGKvd2Xco8mkQT7TOZVU5qGUcqVg7grIqx9qPLFTZTsxtqyvA3hlWuwYwNX4kE1VAbWWEp1JEl0APNfcpggqPW0q4E5dJ74aZ29Pxfh+xIfu8Hj6cB2kh5SSQFbsTDGuwfMP+JzVhBU2L8cSlyBPjGs5SxKPay4e8NaXdfnDz9YwOmAofQIpyqTPBNgmmVxUmXysCbysiTEKlHWrgrECZVzAbrI4J5UCmQ3zz4NpUSSc3N8qx1mU88arWU0B61C+ri+3Ip/Gi8Wqvaz5np5u14gkFXT7KTx7mu5AE8duYwgNsH2zR+B7hH2Ps6c9hpEkFClSuJYhgQO0Me7AGQHS2mIscrGcVN+szUsOch7PspZ2nLEnl/IS4FUWFxV9WwW4kyeyCm4pS4AXiZ4c4NbNyc6kiKcqAFfrmVsrx96edlOrVjuGv/xKi6VOADVvQp48t0RBTFRSVo/RpG1X7cTJJEqcaGbair/3qgGfuHfEcj8gUpphKjN7UpQtZQWDTiRZMvbOXzIFm5ezIJXNdHi2I57JtpZRxUrp2F1KSypE6W7JyqorLRKbVRXmx8EWGdYS4Dn12YpNSPncVI+NKKzqYuh+viVKtgdQGMFK1+J3LM0ZQRS5v6fvePAgXnNmz8FnH/rxoyfOUgsUceqSAGAQaXaiMnnidm5wek0W4HaALw7nmP4u/d8xiVKRJ9X0fAlysU6WiPxAi6o8EWWHS8baqgpsVe5Fr3PmrgJ7A3midTWpk6CVy1wePSZ49ngNQ4CQzj3RoiwdGHdQxrtdchqv1qKUTF4mLWx106eszzVJNVjNFbsjLt46Ynl/HZv6jsXTzPOvuDgFqKgWemWCOy+jJUeRoAw+wcpyJkke2xjpzrmUgrQqxUxlZS0CzHIHa/exy/dRHoYM3LY8LlRkCWzE4BQsvh7gEKdgrSIcnOKaS/f8+LU3vOSx7/62p4/p2ZqhWQ+3eNg3HD+xwtx0PdNbAqvKkyJwKXiEdTs1iHIsl7TP4Z5M6JMquDdm73LEWZWtS7CPD7UvHlXJ4Lrwwav3bEtrVQV3CXKtKkOCVMneKvta6xilYj79tRYHl+rgl/Kk6p6ICfb+eqXR1VkgY5s+VYYpFWW0keai+Yg33z7gwWcaYDyS1GlxL82GfKbjUqmQKlW2zALPcjOBqmMhslVZuJ05MhZ3d1Ho7/x5kZCrOkfgXJy0OjuyahtWVvMMFOvnEYrSvMhlW+H2VAPMbCe+zAWqBxoTDwgj7w3dNbNlMFDH9EzTbbq0eVqyMK2cWsu0rcmWrYKbhciY3CJtLu4nfO/nS+5U7aJJ3Z0dmCqLl9JEFCAvZoJswOCqCu5sPmG5bQfrgO0VcwvTSnBpMpAnTp6omHoj4msHFB//SpPhyIeGRkuBJ8alyWSAWY0zNgQ4jOvvCcuw6ovHiWaqpXnbK0d89t4BDxzwsU2PYRrgC1dJqUSWH6gEe0JUwV2CvDrJwAWfmaOjHJun0unxHOAlc7vXZDY3RQjchmKVz72u0Ew81/mfIMPimIiihqnMF4hijJvJwV0Buks6WpbWBBeWBVu6gn4ftLERSarxvJjplqU7dD8sM/BY64qe8nchEIjsZAhhK8vKBpnLCoNPBpcFg+fyZCLYrOo6WYB6/GsXYGbJHZkvqTnI87JZi87GBZd3UxmpXM4udGzt7kq5ANP3I+Io5bP3NXjmRAM8DyFVBqo8wCy3AhGTJ7f6WSvHpUxmZMfQrPfC83tuF0aR5spdCW98SZ/Hj9UJE59UegyNwk8p30tFKmRnZh3I7cR7QeUXm8EogcolghRYRUZo7ryYfHXNB54aB/ricxs77iRlMmUjkI9hpXLRw3j9TFE7nyel0vJ5+Zql00/oj0LiZEQYheif/LVPklpFXfTZ0VS0Gxm4Mn1lsgNms04NIyzCCoSZ2C/HVg7bBNBF5X8bXdXVpoD8wOS1HPlWJJNAr478VQVj5wAvJ6cWEkXnc8JN5qSYDNCmAuyMvbPgUquYwI946rjg8/c2GAx9aHpIkVcOVmtiNshiVpbo6mVe1F3kAVa11GGsACvX4qro9mm1It744pBP3DXi8SMBaJ+Rkfi5FjdOj5a2HYiUrDZEuNLPalSkSqNAK0rpIh2b56tKkVyrAD3PKAsJ0tjyAkdUnlcCzEnr9HlZvKrHS7VQ7PNky+lXxVYpVrB7m8+svpdk+SFkaNEXtTvuL9mUQKsikEsLNnBNpFKQfbqMDyoHptw7Z+O1uHq1OnCLCZtQFFnLktFdMFluSSIqrFHWnzgXpRweqbOvc+ZWxXzwfGRwDnJTDOgs7y5bqZVL6nheTGJTPnVPnbufqkNNg3QNzX6eJq+Cmol79YuNJMq6HIIodiMvHRU5BvRw5PGKawa8+aUDnj5eI0k8rFAMhcZLy/cjjNsGpMgqjr2NcSavykylqtavG1Fhbb5D3jjQpcnY3FRdlIplaMrzObaKVffkFGOX21htyuQxGtsVZOL1NHV9nlGieOwZxYEjWXb2RZcphBTEkaU/tEQx9AZue22b68icXREgK3O98y2gbclMG4J7nTSpMHl2xYuKJMk3kSp0uBwPMotCK0UF6LbC5BOSpAB3RXdXAsvcOXGOiXtUKsb3Yh47JvnwHS3AB+khhMITeZOFLf3gMebOT2pujYkKd4vxE0mFuYtt+qSTCqnAqGz0Q7FPvMZazTtfPeSL94146LCbJBAbxSAVWcFXdnyw2UgJWwBrnDNLaFWBngNL5Zlplc1BtBSxV+GkWMY/v6lWUmYMXimey88/G+Ai/7tjj2MgF2PAzhv1wQG8P0wYraUsrUm0J7DWoK+5eA0hBGkas9pJOHa2SXfgufEUFcSK7EBJHKPbzOgu2usmMzqTAM8ZjVKGFBZh5TVRZe4xaTIesVdLZnNJkm9b4rbnKMGd7+6bs7anxh91rr9Vrr8TPC8hThPufKDOk4fquH0SdaWxYfzEOvYa38RpnDXH+dNWnhQNEGOVmpVgM3U9qq6UVhNGHldfPOIVtzoWH6aOxUPhMzKg09wPd26Gk4Y2s8HWg9yBeALcEqyyhRaX0mTP8/MvChYvmTv73BXQC5wxkR+nam3Kc2U214N9Ypb8GC7Lv9sdGI6cTbDSTT8w1qKHZiVLRIQcXYx54BlJkAVv5PKjAGcmLfIkTtVheY5b6YGK9bo7+5U5M5OBe9warGQzKzuW5bsc5JKk7OYpwa3GAsqKFNHleGWtUpSuADyTKL6OOXhW8EefbRHGHjS8TJ5QtKapscxhxTmp2gTPJVHsONCrMiXXm8+txTXNQPJ9bxzwqbubHDjtLr7UKAapclWGaZZtzMAtUkG+I4SYAPkYayrH3MV7ygJMZS3WVKSize65721FJknWOym5M2Y2wMHz3arSpQrsYtSfKCVqI5Ds2jYg1T1OLKV49QBjDfpc9BObn9j/zM985f476fcMvoG9W2JaDelqgAvd5H5hztTWlpef3ZCnJuWJqMid6u5oEzt75axdBfZEDbiUtiJPbOmgKFdhV7ooJmNxM+Gg5KydPZcT+lslRDbho3c0eexg3bX7CI0SEl/kU1fHm4urbF6Vdc97G9PgE1spWok1xgHbTiZ/NNHI44ZLh3zbq/v8xp/6DI0HRpMIycg4C1OaHNxVh8qWfzwXTtlVpnJdnr2njOOQ2epSSBKbA7oEvLG2Ii9d4FeVJuuqKyfctK93q5oZ+S3/vVpBu2m5eIfimkssw2iNy694/c9s3Xbdu/SJE0en11b6bzp/WjPb0iy03T80uT2YvYMxkOM+6Njfq1qC4xJr7N/Lsd9VBpTVK7/awbMO5Ot2Ucv1dyVlPqa/TQnsLHOZs3VuBeayRGfOiacjnj0j+eCXGyA1SMfeRed+NQ6ovsfKiduwmjA/eBP6u5qaHt/dQGSNCBmwbZa+V5kWTzXf+ZoBH7uzwb5TPmRj1ULjoYUroy2ObZqtxOkYLxZ8nnE5tuLqqEy+KJs/ghUVKSXyYNP9HZMdB5sRlbAlc+cfvyAAKsQ5yYhjUWeFDCYuiOJ3ZiUji6sN5qc9ZusD4lH0pvPnTkxrRUw7SLhsm9toKe92UQXLju+0BRs8h2puahzkY2y9nsknA7QiQ1ZJf4uioKhaB14B9wSwqxtQqQpre9noYfd6KVEcsEuQpyrhk/c02Xew1N5SSOd9F+w93k43mcEsQS7GjtMECa1vQJ70xPM2LSPcnkgyZ3EnVa68JOQtL+1z+IMBUSpBaJfhRKCo+OIIJJa4OHllaxl5kVNGla4vxxZEVgac2UWdB3gyC0KFy3yKHPQZ02+UoTaVYzUJ1o2y3huyefZ9k7391EAYCVa7msFIIZDsUZJ2bNBbF3w84bO82UdID2MMUKbEc5A/X0AgxPq3lX+w4nn+c9XAcgIcsgLokrXtWHA5vk1guRfmGMBlJbkjS+2dp96LLU4qc8WVcpNqPS/myFnFb3+0zUh6GYOPB5fjc0/GN8QaP2PPc5JyTVmkyW3l+fgckOr8wtQ6cKdGk6QeQZrwI2/v8xd3Njh8RoOKsUYTSY+hEag0v+BstmOarZyrTH+rcXdHVfx55SLKrBgrA7O1hVTJwe0kikBI97NVIEvJhmT59eTKukOY/3whk8t7agSjyK0so5HCaypmEoXetSWl7Vu6S4q1gWYUGUxqC61d/mGx7g1sBPKCoSn/ffXfTuqxMQZf1xVjSwkwCW7JGLBzJteq4prI9V63UhOuyZj3HdGNDL//iTanLwSgdGYNymLA0GRR1Zg0mWDysRP6PGxUeOB548GYi5Kn8DOJUm2GkIo00WxfCPmht/b4pT/y6cRu6pE1khDlbMNUFCCvBpuIUgvkjJ0NfHDgprwAVX4BSsZWGyVKcNuMuW1+4WfxlLPzHPgnj80kiz+vw5LZglaUIM+z6jZxKfswMpxfTtCthF6coKfbfWzSZ6odkRjfzXwTttBhG7H0JGGPB5PPzdxyAxBUi3bKzVwzcFeCylKe2DHWltkEqyrAq+BW2ddKVwPKbJeEjLVVVjHoBTEf+FTA7/15m9B4Tp4IVciTvKm4WnsymYEtl+Tq6dkY4uMVheN+b+n7Stc7acz6FL5xW4HXdMIPv6PPs8d93vdJD2QEKNIs4FTCItMyyMwt31I82fE3VclrWOmAnr8fSabJpctoW2kLUFtLocOFqII9A7ytTBoQdoLBxzGzIcDz1youSv6WjYUktQxGKZ1ByMowhmGKvudJyYUlyZHDsHu+KtrFmJE+eZ4m30T1hK4rtKlq0+dj70rZZZH+3pC9y+6SKrBlNqimALe0pVsi00J3q2qQqRKUdLMGV1bhL77cYDXMwe0A7kky92Q8LT95YQooZ7xMXPhjjL2B5VWty7ZZ2rm6Y52pBpuZFldGYYzT3FN+yttfO+Bj9zRY7imQMRhFjCYUYrxOpUpaFU1evkenw0u70FWXkr2eg1rmbC5c0s/YCqhlFdz5sco9+Ql9DhTZzWqcNkmkk4RbiZXdsXJN0S+6zHD9DSlTMyk6DhuYeISNPAajXMALJnfTGsd5+dfHgD7J2PlrkwHYOvYrtXbhpFTmnxT7z+c7qin7nNo73wDWPU+zHRFKa1BV7mVgGeM1Ej71lRoPPFnHVLS3krJSWGUn5Ellya0CpnIfw9AGR7LQwZWET7FR03NVGVqJqvjiSeqhTcJt10R86y0D/vjTPqgIhMQKwchoV96QXYBQdvysey+UoiV/07mNWBC8xdWq5K6LsE6e5CwuxoGen+cC8NZuUK5RNSBsIUfya69YcybBXgG6lG7jMCVa+DSoyxr6+kthZQXsANb6ZEU6opI+3/i0jC0ZGwB87I0/hyQp+vdkBTBVO7DC6qpg8XFgy2pHzQS43fNSexdbDObyRLp74MUcPiH5o0+1ONfz3X7X0g16VwLXNSNcdnCs9mTdXYwBfpK9J29jiR4mJUp1vEMmU6wpvk5NBvJUoqTb/mRzM+X7v7XPPU8GHD4vQcSAwiAZCYmimmnNK/zWg3yMyW0+EjlzUWRpG+ZqJpcnVpa/O68pd1ahA3QB+DFsVKVLBuxc4lYwZYsM48S7rMjivETg6FmQTcHcnEAP0iGh6RPFPQZDTb3mGgiqOxNMnqOxSHdMR62XJ5P38cZU94HLjOA4e+fALhteK1+vY/ENwK2qersCbpmiZYJSbohmmBr++4fa3P1I3fW2Se20t5RZ106lsbfSg7guwJxg8klHoHoc12cwKYM8m8+eqZTP2or+tqYCckWaGhKpUYnmFTdGvOudXX72v/uEiXSNqEaSCI+hKLONzr61E2v9BMjHEh6VPU2FzTxyp9GtKAPTIrAUmc1Y0dx5cDjWjDEpZYXIGD5bQ4pykAlwi/JAipx8pKBZg+V6hAr6+EGA/urjiuUlxeH9kp2bUgReIQ02smyqK8PkEgMbA3y8dHJSplT85IolKESpuWXuO6sJ96R47bnBXdiBhUVYCS5lgucn3PGQx8fubhBGHtS1095SFexdbKM3kbkcK66iBE4V0NV2rUn6rqZbbOZ7TbZpWVlp3UqF096pxMgc7HnQ6Trw642Et79iyBfuHvLFhxSo2B18I4mFJqR0VNy4/FyKPA+TZ0DORwk5Rq8AO9PfSjpw2qwwLv+ZyXY2K0pQFtix5fehuhra9eUzFUCWh9yxjVZw2+VwzTWGmZkUPRMo0sBjqu5Rr6lsZkhFT1ZORKGLcnBXr76NWDwH8QbALq7ioraksj13wdpkW3RQSBJVXASmYg/mU1DXg1upFJmxdw5unYHb92LW+pZP3VPnwNmakybClcSKIrFDOUGqWmM9tiKtZ6XnEd7jOHcIKbzmam143hBRDJ9kvFY8Z3EpFDI1SKmJQ83lW2K+9WV9Htjn04mkAziZHkchMj0+Bm67HuR5M0YhUSZ0uZsNn5VTSyBrSi++lyeDKuCeZPS8lkVk/noV8LaKLztxLG32fhzNI4wAJP2RwO/59PotlNdGb9+kaWiPqOvTbCh0Nj+9Wms7OaVqnUH/XKwt7AYgoBwUU3UkMmYWFbDLbKOlqvae1OD55FPH4lXZUs61HkvN58ytEwwp/+PTdX7vo22s0M73zpwTx95OnoyVDFTev6gEUfnyKnPWnlz6NmDvsZJQmNDfduz45w3JtrAKs23UU4WRppArceohleGH3zbg0BmP3/uYJk6yGgMjMQhCIcm3ji20eAGSqmUoSolSfKfU5bkssZU+TilcEYs1mea2trgAch1eZXQ7gREy6ZPXseeRQnWIZ7HyjZGBIY4NUSTodGFqQTEXKfTWeUNDG6Kes9mszbqVk6znLS2nyK6TLN8gsKuvlwmdss2rOhmp0Lk5mAVOhogKuFVlf3pZpuOlrOruUnvrarYyCyw9P+bQOcnH7mzS73tQVxl765K9x8ZBjI+Xk9XPXvn81Re+XpKnYMIN75UspqzWqGSTnvJqPiOQRiKl0+JSuJmGrWbK21454LNfrXPobKY5cWyeGMEIV44hTQae4r2KEky5DZZxd16bZEUOdVEJMEs2t9mFkzM0ldectZgRgR0Hesnm40DP/9aYSskSYqmxpKklSQxJVuIdhTFzW0JCE6HnZhSBgrgXYqwhihWDkWIwEthYFFVh5CDPgT0hRUqXxLLh8l0ZTCkq4C60dnUcWKG7J8BesLgpfW9ZgrsqS1wK3mQbKJWvSZmidEwYG75wf5MvP1qHQGWBpXbOiSzZO/ePcxel2nc5VgU5AdyvL042JPaxO2NOSiV1n8/NNqLU4kaSCoU07h6Hite+KOK1tw05+RmP0EgQqtjiMRGaoSnjhCo3Vt2VPD7QY4FnhUGlY26HD5sBXBRFVc5CFFmfZpYsyli+HKths3m4tng/OfjXie/srZnMnzepJYoNw9AwCt3s9OEo5ZJQkRgP3Zzevear7mcbdvj3jenTHdQ4u1QnjH1sVFH3FbaaBHjVelpXWyJt5Xk1qCwnI41v+2HLwFLZSuBpsoCyBHleHivXWYHp+PPMMVFZK5ryE+5+yOeX3z9FajVoL6sY1Ag5UVRVWIP5BWrHBvaPff6Ji56JVW8j9q6yeH4eHZDtROInkykyA7bINmrKpYqRGOG8cWk0SeL2F3r3D3Q5cEpz14MS45csbo0gRjEiA5xlTKLkBVfVS1ZlNbQ5mzswZ2JZZuW1ogL87NjYvLMoO9/gWvOqmpyJQDSXe5Z8FF0J7rGnwrF4Z2A5syJYHYJUdbza1GevvHTXmtq+J+7vO3L88FPH43c9c6zHTHuEEh7nluuEcdki9FzMPR4YUvrYan2KfbyOhMIVkapk6XK3hnFJUtqCuVuSF0vZwu/OEzvrCqvyVjQVo1XMqVXBL//RFPc82nSb8ki/ALiWbv52UCmNrTYXr79n7VsKN1VLVsZZFI+yGDG3rjup8ui25q5mcCc2ACiOb0kO4+fAFv/e+cuW+bmEQFseeMJnbVjJumS8aTKdmV+0srL2rK+EXH+1iuf4qgxfN9C1Ez8vJpnAVppkih+dbJih8L6lEJzvGIJmj5fdvMKNV6cgTn7/kZMPHtC//YlZpBQMhjFhGPCyq1Ku2i5dF4wnxusuGP8D6+XGRnKkmqV0gK7OsysfK8MdxbgsyTV4vj+MygFdfZ5nLasVghO6W6mENEj5o09M8fGvNLG1UndX2bsYx5avPBt0zFflSTW9XM1gPveJHf9mdaZM7o1XqwwnA/5cl1f3rRmrURESmSpSoZHDlLe/asgzRzx+5Q800VhU7Po9QyMod9isQnSCNrPgUeUsLwo8lgFoHkhm/1RK6+SLdKwtq+6JLBWCMPnF6ti8GFGBKLKvthrEZ0kdJQVTLcW2rYarLoq57cohfgBulIBBXzwXIIUgbEpGI0tvTXJcCLbMpzRwW+6hcBkpmMhEPQ+4xxySidfWPdoKqMfnUBfWYGV/mDFwFwAvgS4rQM9rvXXmfX/xoYD3f6bJKM2m4MsysaMyaVJobznpfa8PnidjkCpI1uN6HORlWjxnOrtOtlQBXWhxWUkAyQzcwjrLMJUYoUiFQRiDNJrAM/zAt/S573GfLz7q7MJcqgCkaEaF+n0u07kK6uy9TgI8y3S6jhmX2cymw7nSWlmxFG2mu3PASwdek0kSiZuFmQeleSIzL6ZxTecSTwuaddi+4DNdm+fY6RZ+EKCUh7UWvXXabT2XJgaTQi0Q1HyJEGWppsgaS4sBpRWpMl50VB3GaDcEdPX1MqFTWoAyr/kYy2CaigY3Famywb3imkiVIGWKlAlKxwxC+IX3TnHkdIDNwS0cuIUQ2R6cFO5NdROs9Z3z64GdnYESE+sQbse/LmpQSuYey2pWvPDJncaqG1cZYUug50GnVG5XY6ORkeGibTH/9w92uO8nA3qj7I1nAadzVhQhuUR5bpCrUjM4C9FUAJ4DOgO/rK5q0rF0kaIsfHMHbpN9z82HtwVzu3IAl87PcmHk+6bmVrO1sNKVjKIagefRanr4nnZNx1dfuhmpFMNhn87aErkZpNXGGbjS/624JZMZyaKmZCMpUn00FbCPM7lSVdlS3c6uag+Wu+5KWdaayDyhkwWYWsckKfy3j7R4dH/Ned5Cubt0Oygr4SoGXWJnIqickCcbpebzYqFqZpN1y34FLxOvVb1wk6fBbb6xV5l0qfZtjoNdYjM/XAiJMBIpshY3oZHGcMMVMT/67R3+84emidIcdSKrjoLEKkYm+xwblNM6G7DqR7tS3NxFqbL5WLCZAV/K8gDkPnmRIMqqFaXJXJm8cjFPgGXHRkwcUGdrw2AkGIwEaWrZumWGqakWaZKiv/e7v4VarcnJY09x912fY6njMxxlUew6UT9pCY67J3IC1NWkTS5TSiCXgecYsIUt3BKZbXhUBbecALdWVXCP32UuUWopX7q/xvs+0qIz9LKtmzPnRGiEEJn2Ltm72jK3UefO+DzzbAmtam8hJgTJ+Go/mTwrnhdZTQrvW2Yd7VZWttaTlVpxWXb8CGGxUmIz21AI6yy6JKVdM/zjdwx4+OmAL3xNQSPJWt3zoFMQS5ntxC2yx6w8sNDhotwfMvucNvPRcxZ3vWQlS48FJYX8z17PflaSLSiZK1NcM5ZsikM5f75ajFJMu7IwCg0nzw659OprufHGa+n2+mipQGqJkTFh0iOM/KKDerI6rnooqrq0Osahqr3Hvp4IHgtAbxRUFkAuEzr5a7oC7jJb6WSJzH3uPD2vEqRO2H9M89sfbnFoyXPFClUGF9JtEV6RJWVKvqyfHgswqTB4JajMFUk1w1s9qZMkXmbkKoFl5euqTMkn+ZbzskXWLubsQiPKiyDN2FvKsk4lFRoZWy6eTfiR7+hx7Jzm4GmB1TkS3Ru3xiMqVp7sTcuNQW5xx8tmcsVWWDyXKwXIi7oVp81l3lCZs6jJUjn5z0vXXFEG2qKsXszS9PlrTvtDzQevFqKDFC+QeLFAn1zUzE4rHtjn85E7FNfsiZluaVRWbVVdgvMTVS3yH6vZ3jB4rARr1WByMrEjq9lK85yPVXBXPW9ZBJql9+0HMec6gl947xQfu6PhdLcaDyxlxtx+troUU6Eq2vs5g0o5DmzGcbxOhjzX61V5MlaEtUFmU26w84GR7vV8t2QhLKmQiNQxuDHWsXlq8KTh7a8a0hkJfuo/K86vSQhi90eN+7DWaKLxUHk9yPOCkRzIVXDm/6QahApbavL810qwGZgtIHO2r8iWfO+gogQ3Px7ZBZKP3JASFqbhlisN111lmZ+GmbpFztYVc63g3LYp+flbrlzA0/l2GJVRxrn/mjsJRSZvokCqkpUsUtyqAu4qmMcCxrLktWoFPi+4x+7jCR2Z6e4IwyfvrfOlB+uVWpO8oMrZgnm3TrEd4dcBtjsmYkPGrrJ5ZQWvgFtsoEnGn5cBpygzmTnYi11/y5HLtjIc3s1SqdiGRYOycnvUG02aaISVvP7WEW95yQBfJJAkYBMw2d0mGGuJDIQGIgOxESTWlW8kxs3wLOZ023KbydSI8uvK6y5RVe7Sl9pyG8Vi9z7rAG8NE/GGLR7H7hUSMAb6Q8tSbzfLa63PpzTPjaIa6jd/8ze4/cUvWdNKrnnKfHe/t0IQuA6QPHlTTI+S5STXaulqWdZKmX0s9OwGTD0J9jG3JE/ymPGak0lZUrB3+ahl2YaWypS/vLvOf/y9KY6eDbLhPVmnjspGQVSSOnlZrJZuqL0qPl+1Fry6ncf6bQ2VkIwN6BfjCZ88mZMnbFQlMTb5taySyoTlWrhW1YurCPonu/wnp24552O2nXLlJTEnLygOntAYO7kcOQlkMsdCZhdoNX0uKj+7kR0qxr8sDJSxrOHYP9sobhFFzEPVPRGljHbZTMFglLCweTe1xtS/On70yP0vuvElbo+eTdMxSgvE1gRCy3JXEMWlHKnagNW0ejknsALuSYtPTLD3pGNSuCWm8nOlFeiCzOcA94RUyS1Bz084tSR530ebHDgcQLNk7VyaCCHQZCl5WZEl1aB5I9ekosnzr2VxAp7X9n5O1VJN7GDNxpqc6sZRlSDUuAupdFSk2z8p+56QMkv7O2fFBZ6GJDRccVHCD7ytx4NP+hxbrAQOrmPB1XwYRUguXbI3XIkArch9N5Fp6ux7uU6fVDpFEFoJPsciymyZrOg2kUkUMru6OAbG9YeCIIotp87GeI0RXn3IKKxsQnXFlZfSrDf42sM9Dp55Bmk1gadQSlSkSckspcNgxwJKsSG4c4kxocGLn6kmcdYndKrOyXpwp+PyRLrxDys9wW/8SZs7H61nDQyVwFLq0hbMCqrGi6oY69Qp/ftxUBfEVTmBmZKcVK/PD/JqdSqMdfRUM5v5ki3zRE8WeIqKTSilLepUhHCBpzQWgyV1PThOkwtDIiwMLK+6IeQnvqfLz//BNKt5Kt+KygbJgtQoRpMfqJLMKVyVTI8VCaCsb3Ms6UMZhObBZLGdp4GimTMHPNm4CePY3WQrUv75FW77yGYrZe6yHhdfOcvO3dcQxf3iWmR6djOtuSu+8Jd3Lv3y/mM1VjpxMWsu3yq6qqnHJUe1w6aanGECuOtliawCWk0w9zcAbqky16TQ3zGhtPz3jzZ570da9GLtNJWoaG8hkbktKEoXp0zqTHTMr9PhzzHEv0T5NwzuKtWPpenHwF7eC0Y3FNWEY05LRX/bStCZ5jNVsntqtNPmqaKp4V3v6PHD39albhNISx1eavIUY2BkIDSCyAhiA4l1Grx8zEqsq9o7m3NezHepbBtelLvaqk7P92et6PZsl+00f73YdTvbI0rCTMty27VNrtl9/pd3Xn35F3Zs3wJkq8sv/OJ/YrnnxaTxpQ3P/L3AS2nUNYEn8PzxnRLycWllx834BqFVcKsxIJcJnar959Lt4zpcVth7HNylLThWKZgFl8I3PHnI5xffP82JC342di3T3cLLgkw3Y7AsqCq199iODbK8uHOgV3eVKOaVFyub09pC5Jo7/75ASlkG7rKMbYqh/5OP1YtLjl9gG2nxUntX2sBkOUk2L74qM9C2XH0s1LyUTTOGe57wOL+kynT8WOTsfHJTuYDH3c/qlb1erllR1e0bX+Rj389+T5U8iva/ys9IUdllT7eIEv9Pzj17970vfum3lhIF4Ae/763Ughr33XcfTz/9KM2aIPCz7fdUNeiamElS7Z0sWNys19s5wJWpyBQzzuSiLINVosLgY+A2FbclB3qC9g1PHPb40V+e4cmDAdbLfe5KQVVe6y1K7V0M86mAZ7L2pKqzNyqLrfrek5m256Xyaoks5R1K71tO2IiudS3L+AlbWIdOi+M27BWOxXOAG2mdLjeQCoswEiGUW+4xpJHh2ktifuvdq7zrF4Wbh+7nMkFUZIQmNZJIQoH0wupzqwpFX6N7f6qS5axKmFyyMKnJqbyWl+IqKsmlcp65u6VYIElSLrrseq664cWE4Qh49zjAt2yao1ars2m+wWxb0GyUwM5ZqvSpxx2SwvnYKGGzQa2JFOs1dxFo5uDNf2aSuWWKEll9iUyQwk2H7Vn4nY81eeyZgFRlWltWAC5kWW8ixhM6YzFGFdAbgZkKoIvn6xnLXQyTaN8A4xXfmzyYzBIZhVQp8t+V3TUqiQ7nEzvbUFgXVDrN6nZmMMZiimZeiUEhRAb2LNOpUssNV0b807f1efd/9uglwqHDTIBOahIjy0DQlMAlB36lgpAC/BTfL9L9uVavavJJkOf+e3Yh2fwlS9bJI4gTS98mxKlHszWDVMPi+BYA932N7/uHFmZrh3duq11skhCRLUt57Y2ssvUkuCuJmvVB5CTAN2bwUnvn7sl6cBfZSll2xQ9SeN/HWnz4S03CSWAXX8usWrCyt/wYyCdqThhvURtzTDYMMCuA//q4XsfkdoLNy7JZUQDbUN18N39ui4vAWOv2zcnttEyHi0yLIyzSSlLrasVzVwUspBZfxHzHawbsO65530db9GPcAbOiSAK5N5eBnMymk7Zk7xzE0qIq4B+rPMwdlgkWt/lqsC6QcUzu5iK6GpXU5ARgMANLs1EDERz2Pe9QmDko+XUCwMKmbZw59tXPb16ofWDvzjYzrRGtuiHwTLkNyJh+nmxMGO+4KX5OVTpzCj1dJnnyYqkC3MLJk+cCd7XGW+uUXgTv/USTX/yDKS4s+1mnRTWodOCWMgN3UQ5bAjpP7lTLEjYcDSGqx35ij8/8ZP8/uBUSxVIB7UT6vkh4VLY6yfcrrViFxci3IulT1ozbYr6KqjxqkkSzZc7yMz/Y5R+9rU8rmAw6YzAp2BSs64EcWQitILIuGRQbtzFrUkkCJcWGWmWCJ9/QNd8prdgtrQgombi7INOk7nmSWsLYMhhZltZidG0OoZsf+Pinv/r5HTu2r2dwgFpNImT907u29t46HYxedGZJYPq+O/i5RVnV4AWYTYW1q3Zg5fXJryuae4zBRZ7USStZyxLcUpYlsDIwfPzLDd7z3jbnVj1X6yrK0Q+5Bs+liT+huddJlCpLTwR3xZbUTMiVIvApfJR1mcyq2zIJ1nUIp/Iz64A9yd5lTYaxotif0hrrWDyTLoUmF7Z4dKWqFpHJFZE57XFk2TqT8DP/uMNyV/KBT7WglpR06MobC2pMjSQkCyLHZAWZd14psc2+pqrBswGepbVIUXKb16/kf1sYt6W4yGRcmlq6A8vZjk+wKh5r1GufXkvGD6mqfvHrv/HHXHL11IlnTyW3nluJbqxptzej03iTWc1xcJeNCePMPfYzk/+mCBirbkkpUzYCdzHbpJZy6IzHL71vikf31VymMt+NQeS7MpSuSSAptt4u93YvN7Eac00KK7R6L92P8YxkvuXKxM5wIh8lVnFP8qzghN7Pd5grLqpKnU/ROTTxGmP9r3aDwLcyh6TAV67DJ2KJygWYs9nUVEq9ZrnvCY+V1SzQq+qw4nHCXRHjv0xUtVyexlwXhK8vzS7VX4U4Kp9NZv8uNYbLL0l40ZXmU2fO7ftvP/HDPzL2ezQTt8XONQghOX/2IHsXImZaqtj+Ok/sjM0kGStv3UBzV9yQFv3IzQAAMLtJREFU9cxeZfEczM8F7lKeaD/l8GmPf/fb09zxcB1qeV13NZnj2FtWXJOxOm9pxyTIZON0UUVIpXqw0NeicgIqtC0sQkj+2rdqmeG6IUAleQoLwohyS/WC0R1DWlE+5gFoEXxmkiBn8XzAtsAWejwVFjGyvObGkJ/7kTX+7W9Pc+SsAI9KIJmztXvLxkiifIXKg06RsXPeskamy3M9LcqKROe6OPlVdO1XkkjV1VPi+hVqgWDznOT2G2a4/pqLMcby7yYO6TqAf9fb3oBWOvrTD/W5sHIcXwtaDYuHGOu+0VVWVlWwPkcgKaqAHwe40+9pZg1Wwb4BuL2UYxcU//53pvjwFxpEUpXJnCrIhUQIx9Slc7KBNJG2AHG1SrJqAVMp0xir66iyYYV3qsPdvyFcVxM8k9WFZNnASlVhIU2oVhbaQpIIS7YbtZMj7rlzUPJ5hMY4veHYP3dTQGAQQpFgCXTCO18/JLWCf/vfpjm+6JeTkMayj+69p8hxtyQPPvNS2hzwgDKVCyGTJUqQjYOz2c5u7nfl4aQQophDJCXUA8nCjGTzwk4uufJbojRN1x3bdQDfsnmemenWT1579UVXPf3E4quMHVa0d7mhUyktJrKUYj1b5wAXGcCrCZ1Cc28A7rJbJyk87+MXFO/+zWk+8sUmkayUv1aqBHOAuy4digbi3DmpZmjlBHtXwV1ahWVAWSXsqu7eyAP/RjC+YXGhXa/BnbTN987J97fP9rwprMOyutDVp+SsLjHSOKBbicg1upVu7o0gA3cGieyNJ4lFY/kHbxigFfz0f53m+GL2HqvgznU3GoMkNHm2PRutnD9K0JlNmHfzWCOQ1sVuVpT15fnATUt1MzT3XpXJVzOD9lo0p/d+pT2z/SfjsLfu+K5bT2dn2tx11x3d+ZnmgdkpL637+T7vJtsau5wJmO+mMDbocnJs8UR2UimTpdgrmrsAd1q5G+dz5+ytE86uKn7mt6b4yBerzF1tPVPktb2Trkk+X7BqB64b3yzXy5HJVP34Tg4VvVsB9TqJ+Q2Cu8reBdALlq/u8is2uFOUzVbLaXMHpegEMnknkEvhF+OZq+l8U7oraarQqeA7XjfkP/5oh62z8fp0vk2cu2KSolgstq7UNrTOWYmzMts8xV+k9zNHJUkFSUrhwqSZE5OkbmuS1GS+dwr///a+PFquqk7323ufoeZbd8zNTe6Q6UZCGAKSEEMYBJxabXiI2t1K9+r3HB7SjUOjTct6DfpE0W6HfioOLejj2at5gtICKmK3CGgUkMkA4ZKQ3MwhufNQwzl77/fH3vucfU7VzQCBAP32WnWr6tSpujV853e+3/ebQiERhhK1ukS1TrlAduhX99wz5WWKh7bg5kcJw5lLF3Z7p01PypM9V8BzBbxovrsGtqYXxFJGFAhiC05sq07S3JtH1l4Fb2KQx9QkBGUc3AX++fY8bvl5HnVmqSTUlgNNQAdR+weXKnBHvUgi1UQ2Wm80A3VjXaVtydPfW4zyQ9hvC8nSRrXNv9OJV7Z1NxdjLXWJmW3FozOPMGFuJV+QiIMTiCgRNspXjCKg9idg4Lj4DbMY2sZw3Y0lhFH1i23BzalG9SQPQPT7U05oJOubaKZOLRCRVKtGH0ajUCTACIkomGSao0PFBoQAaqH3h9HxqUvbysWmX3NTj2j9meegtVDhvX39Mp+TyPohMh6H53F4joDrcLgO1/PdreaWVq/AZGidR1FKm4awlDNJrexAGiVQcRAXuHtDFjffnUONamvd4FQmo5WeoSeGjjSTBS15sNk4wERqbJPHkNoeh+ZS4G+CdYnmq5kFN8G2ZtbbdJy1ndDovl2YHO1nJWQJqrRoazyKjBKyWDTRTenkDB6XeNf5FZy7tgLCeaJAQunjtlUXkFIqS64vdUEQyNiah1InaklVTGEKJgJOEHBVTBxwoM6BOieoh0A9BGqBRKUuUecEA4sWyX0HKvzsc85p+n06c3zPWDS4DmFQvXlm/OlBXtubjx1KkeLY6sg36bKRBbc4d5xKa1luO9fEWHIS53QrWsJBHeCOX2fw8f9VxlNbPd1H0HYq7YuSj4zVNqBmNAZ3YlZNM0DboLaSexqDPem+TyQB+MjUHwLcxiCBGCBbIXrrhlIYrCZBSNMaq5xLyojSEF3rKIkCeSzeWRbdKDNSIvLTqAQRLJk1CYmViwN88cMTuIICP/l1LibICYcztuQAQxidGxSFcolWeKT6XQRVllqJM/q3kQTc/FZC+UucEoQUYFzt093dPnPOWWtuzucyc8EYc2paLa0LZHXikX/q7RsYyWWr8L0QvhfC80L4bgjfCeG5YWTJTeN5R3eYinJKWNpic0v/tsLvJNTOpNG6OagL/Pj+DP72qy14apuXapKZTIEFIZFTmWjeY10YQdOMvXSKLJnrYhlkO1cFqcePMFc2BrrlWEbAtusQI5CkrHnEu+NAkGnWmbDY0uLjZp/0BAlpRztZquSNgdcYjusLcd1lk3jrGbOISHKCk3OLl3NARybrdsqt5umBJAiFstiGq9e1Fa9zglpIUQsJqoF1CQkmKhLLBl8z8h+/efKfFvUvmOuEOLcFB4CWjhNQr01gdN9DgJiC68ROYZRyaacOmOQdfZtSoXVlmVBJiHVbWfsU73Y4iKPA/Xdfa8ETz/qq1QO1uDa1nUvFu11deuYSxFMZLGpiFzDEhQ2yAcR2W7ZIHkxZ+JThjm+nwJ3oFZ4GtX0tk9ubyoWGj5NGjdwE46KiAoqoIALaOhPdIkJZbwrTkgHSUlGIBJE0bv1gjhzVblO9zbrEykV1XPuhSUgAd96fs0ymtDh59GlgZgWZ/CwuVE4+M/EJnWdD08ZCf4smZ1+VFEq0lws47eRlaG8rHdRwHBTgbnZhrVqd+WCu0PsDXnk07/tcO5L6NBnNbYnfTgRyfVEpp3ECFSUCJArLW46loSeMAw7wkw0ZXPnVFjy51YA7mRkYWW9o3k3jUX/pXJM0NUlYaUs5SSsoCVBbgDeBnrRVtykLaQL2piA3vz9JWm4Qa/qx9ViyjUJqGoTUFS8mhiPi4IlxQqMELJ0KSwgBRBRGUcYCsLL7ZMMBSgDwOnDCojquu2wSQgA/3ZCLvwy7ut6UsWmwS1BVAEEATgCXKCrCdNCKpv4ZlwDX740RCY8Q+FTgdUsXzPgu/eDyxd215w1wGY6IUuuiBzP+2ZPjww/kXVaD63DdTcicutRpL9FNwAK3AXTytrB4uOHfISgTgAP87LcZXPGVFjy11dfdeFiKb8daNyiBY6hJOtfE4t525DJhzdNgt8FMGoGa1MPjTlZpAKQhcSisp+2dTG+Xycdi2mLSZKXWtOOm9CZySSwZkRgQS6WLS0G1tVdYFMI+aGVkyKFrIhOfow6sGAjwhcsnIUFw94YsolCLOeJpdLTB7kUjQREC4BqETOpZnvq4kDAUBmq8vBDqWGEU+YyPC99+zuTxx/U9uOu5CYGDrIPGlf18F1y/fMCh1Xe0dJwS1IIJPLN7FtO1aWQzs3CdIOLU1LowklZG7MeSQRxmSYHSAf7jIR8f/VJJce4EuC05MKIqSd7NiO1cJq04aQB30krb9ZbkILej3y5NRRIHwmGScJm4Sj4kY+piB3Fsrh63eEuqK3Z2oc21DT+PeLfJ6IuGzcZzf9JzgCIObxoJSW3g6gQr+gN86SMTOPu0CpitrEhuZR9aKou+L3U5WiCAuqW21KTi6lUBhJxDBrOYlzuAlX170UJG8eYzVgZjFf6OjraWA70Lug76FR8U4IRkIOtD8FsGd03jlGc/f+sirLu8H1d8uxMHpkJkvDCy1iaMT2kcyEmkwKbD7gbYGtxwCH7xgI+/+ocyhoYzavxdGtgJ603iPJNI77Z7m8i4zKxp1mCjYxlZb1jARoqPJ6jKHBb+8ODdgHWbatggty02ImeSJKy42cc4oCIFdmFvi65tIKenR8SBH2n3V5GxbCi4AyEciDrFYG+Ar/7NBM5dXQXjBtiBuoiwyYVrh0HJidwCeiCB0Bz4AUdvyyQ+//4R/PIL+/HZSzkuOm/Js8ctXrrr14/tQD7jPn+Aqx+M4aovPTT8w19l3xfgLPQU83h2Zwe27ctH+cRmlgohcVSSETvP2+LY6fC7KyAdgn9/MIMPf7GMoe0+pEstKTBdFZ8Et2cpJlHpmQnq0BjIae5tV/E08u2DKCqWkU7wbxvV5NBAl+k7ssnjFojtg8DeHjcCamLJ7ZEnCUUltuRSNO4Xjya0OtimLjKatKwKmEWdYnBhgC9/dALnrK6CmrBlE8vduC2WiaK0BCiDBVD0drro72rH8O5evPXM0/G2NdPvO6H9x8MOYzjUcg61A/GWYnZmFtlcds+v7nXvo1Ob1/vuFFDvwuhEReeShFGmYcSxGzi3ACE8cjgZ4WAex/ZRhg2PZXH1t4oYGrbBnebdsdZNdBjeI3HqaxyKt7g10IR3p7g3UtZ7DlqC9AGQyk8xDluDQzYXbTHOYwOo40vUU8RyLgUhJv0q4WhCEl3aKCM+bR8Etlqi+osrn8O8CSKUkG36AxIN9FibbDw0GVXhc4ApjSUElvcF+KePTuDvvynwu8cy2D7iAR63nmsuOrk8GodMEeXkaqEgQwG3QCFlGfc/QrGwu4zs/DX3dZfX7KnVKjj9hBwOtQ59CAD4zLWfwX+58O2j5ZbCVHtJvtMTe9BScOC6UkUzmUhGLhP6d5KmUF1TyTISQ7tdXPutEr5ycwHb93kpcNu0xNXbKIh2Kn1jve3cbi0jRbndJshjh+lpHLZvvI5ztaMqH2rnb8fjRwhNNSjVud5E546nt9PE/eZnhrhbL5rSoAZVB8nXg3XgNTzPqCEkvjTInpbDbP9VB6qMdk68vr0P1AHU0cpx1qk1dM/n2LTZwegYTcqG0YHb5NSlX9glQJFJtGclWjPAzIzAssFVmN/T/zfbt2+/v6+v/3Cge2gLblZf30Jkc8UHKWZvy9C9F8j6EMzsnsgqmyQqYlttdRtEgGjlhGUkNu928KlvlHDrL3KochY7lMTm3UYONFq3GmDqJ5zKZLZglCnYNCw/R6g+zb21opJOibUT/tMOZ4KiWNHJQy57XyumEN+2rDQxuNDbIrVEWVwlQctI3xba8hJqrLFKXiFRDouSDwEtKYKq5+vqGfVkAgjTzEigQTa0qubNdhoC81o53vPmWfiuxDVfK2HLbhfw9QczVfTGakujsgitujgICYnqmeshx8K+RegfWHJbX1//g+MTU4cL28MHeGvbPIyP7BpevOy1l08eeJSFM87bMl4NnhvAdUI4LNCJV1wHgnRAiEpQQ02IAPWALbtcXP2NogI3mCq3sWkITWndWr9LRyodSwaMJEE6N5DtLl1z8e6EoqKtoXJKG2sw4yMgwn1sdRFbt3QabQKsFtCt4vkkPWkC7ChzSXddFcLMdycW6E0iVgz6KIQPFRyKkZkok1cN6XVilqRCS8E22IHIvbVbQ5hHaoDvCLzj3AoggauvL+HZPVBFE4aaUANuGv9//cZD4mA6pPCqQEcpi3yh5fYz16+5fNvw7u2LBhYeNsCPqPyk3L4Ak/vv275k8ISNvQsLaC2OoVSYQdavwHXrcJxAz8IJtTW3AzgCNANse87B319fxC13a3A7KXA3sdzQNMGjSuu2ZcB41IjJNZENIXqTz24sc9qBpCDJOkwD0sSp33ImG07/6RN1EtCHWo2tIxAnVwEJp9Ju45au9pGp/ZoqKnZo3uqGJRscTZJUWGyp0JIL49Rao7Qo51NKBh5SZKTEO8+r4OpLJ9HfFQA1HisoiQStABB1gNcAXoEMZlGp1LBrIkCmrQer15y28Yc/e/CIwA0cgQU3q6XcBZpZel0WDyx+ZvPQu6b2PIfjFgnkfaH6dwBRak3UUYlK1CXFw4+7uP6WPH7wi5ya9sXS4G4eyKGW5TbVOYczBS1ug5zsyEotkCaB3qTIAUnrDiTpiQ3k9P1DAl0mHzeW27iRtjWPr5P0JJYUda9CG+iAnlYmdeWXcjapDgKZ0rOYzkh9uBq7JxCPXtCznHS7CNNDkBhHVEsfRDIIbc0ZVanjniPwrvMqgAC+fksej2zyUItoijoLqe9K/zBSopDhWN5XRy4/D0uW9Nz8+vWrrnts044jhevzkmwRjt0AVi7l1r7robt2bd1zxl//6U5c/q4JVWKkrUYEAkYwKwhuuiOH//GNIsanGQJJk8UKaXBHFCUuXPCJbnFMtGJiOZUx/051iqWxVJjo+01tsFut1IjZX29POaDEdkSNQ2k/Rkhqv9gRtdsnJ/5Ps/dEYQ3INe9HJj5PYpCX1cU3+rxURmetRMmg1eWANDRoSvWpsepl7TZ6zaqw7MCdoqhxkI8QlYAXEIKJaYarri/g+3fmMcOtzDdAHzASDgQue+ckPvonBEDf/X/zg0vfODhvx+ynL7vwiLF6WCpKen3qun/D2W+8Knj96pXvmZ3ZvOi8U3diYopg616G7k6hsEsB6gEznOJ7P87hk9cXMTrJIOhc4KZIl5xFCVSGd9O4GyylFrijHzFZlpZo7WxxcAMuRmJqkgQYSZ0FDJhtKkMs62+DNwZ5pKxEt+PrtB8AJM8stnObpkqwthF9R+1nOH+8Y8z/kyPHG3R6fZZLnJESbyI+g5n3IYmlrtgWk1j+h34/UgIMEoWsxLqTAoxMEzw15CIIYJwD+JRjzfFVtLVy7B93MTB/GQYG37f5zafR77ztvNc/H6geOUUxa81JSyCleGDF/FVrH3rkqeyf/QMDhcSNV4/h9BPrkAHwzB6GH9+TwWe/U8D4FDM9GeYGd+I+kk4lTfPuxo6wDUULdqjedjBh7UfjbXZeSTMZr8HJtPY36DhYOL/ZSqjCBitW8lU8k0ZZNxkBRjuXukA33i8SSyAoifVwxDSFirgjm3rcOKr6TWlaQojQ+Se6NYTWyGH6reiKIAIBQUwRMyK6QqGKGAD12wgBIBRoKwp8+gNTyLgSt9+TweZ9DhAAJ59Uw7c/OQ4iKD7xzT48+dx5lbMLyx5g9Pl3KnjeAM/l85By+pNB5/nypl9u+8j2vc9kzjxxDK6rEqY2POrhmm/m8atHfdRCepjgjr0802bNSWcI0vh0PZfk1yy5KsGvLavcoJwkAB2XqyUDPrEVS0iEc3DzuYBNrDvSWEWLaxNTg0bQwMeBGPjxqD2pk6/Uk0zDTQBaKrT+c8SZEXFso4YQ6HRb0x7CdMvU0iGhqljZ5u8EQhcxS/U7p0AuoSAgpARCibaCwLUfmsL56+q45psF/O4hD2GdYHifh9VLPHzlI73VfM+6L4fCvaq1fOiAzlzreVEUs6655lqZ7TrrvkK2yE5cHK593x8Ps9etmsJvHvbw8S+XcM8DPji06bUBTedSS+KqHJ8gGsxqO5VRT0GaoiYk1sET4E5x23RAJ+l8koRVj6lGknMnKYnN2Q2FSQd5GilKo/PaPDUgSUtitYbaZxrrzBHtF51prIPRPmhtihJxExJTEYuukNTr2qewJGWSSGyAeUnzvLhWAABcD1g2wLG8n2PTdgcP/CGHZ3eX0dezst7fu/y6HNv16bauValeVUe2nrcFN2vt8np9otL7uSVde+t5J/upa79VpD/49zy27SLI5QVmQxN+NZc5aIlGGyHqTTkkDuZErR6MYxUB0i5DM9a5UTFp5iw25puQxLaoS1WKpkRc1qYi6cQU60aa19or4Yxb9+MEK8VXjHVPW3rzGrFaEg+MNRQFkKq9sn5+NFXBCBcSqkkQJY1UBRSECh0kEtb8TDMeBZE+bkL7Mf2xwE4BIkWUmiulVPc5UKkTrFwa4OtXTuD7Pw1wx0NLxQNbBj514nEDX3xo03gdL3AdBks89BrefBM6W/3jf/rrPY9d8smHmEcquOLPRjBbJ/jazUWMVdxUU8xkoXB8QdRDUOWaGMdS9/JOKyaW1Y57IuoThnVQRGpFpIBYQE7lgNOUlZ7LeiecRUqS1yY0T62zQsrq2wcOs84kdkmdUUTs92oUFXvqXfy8mMIZ7T9ZkmeUGBG9RtSzhqRbYMddy0zDpuTcUjsF2nRIsLsnJAN9jMUxEdU4NcRYleKr/7eA2YDgY++sIax5uG/rBXz/7OBJHpt54v3vvugFY/MFW3AAqGIQ2bbcM9TvvfQLH85ev6BwB11/WhWbhgluvjOPsRkok5yIVDaCm2qurSx486LhZIWODdIkLSFIU5BGcCfyOuYAdyI9Fknrb1SGpPE+dHFDetmWmzSx0soOI0qN0AHMqNhYNcSHHgqrJh8TKJ2bUKm5tARFPHfSzI43yVUUiHi1Sr4iETUHLA6viyqM1ZZ6hLiUFFIK7QsQnQJAQYWAIKrBJ6jUjrI6+A9MU/zkvgw2PlvEI0MurvyLdeL804+/dMtI9zMt3vjRgOaRRTLnWsuXrsHGJ3L1nlWnf+fsk7IfO2FJP+ozFD+5P4P94/rbA2kC7lgxIUDCmUyUmCENajvXu0lIHs25ddP8b1iPaXjagG0WubTpx1E5BVpgTmcXxt1K7MhlKrKJmH0ITU9MfD8qRBamEZCdJ07iWTiSWOmxdq54ensyImrnl9spuTJRPEF19Zej88vVczvLHG9ZX4V0gdnaYjz4VPljrd3rv9Pf7tUHB1cfle/1qFhwADhh5RKEwQ7OOv9oy9DTxam/+lKleP9jB7DutRVseJJidMZPATzpQTGiPF6GWPWwixfilmvNpjIkVRWS0sKbgTvNu+e8HwG9MUvPYD0tLz5f1NsyYbO8KzN8zIw1gcGxNAm05oCQppxSi3hSW2iirag+z4hYviNUKhnQWGkAyrQLncdCrCQu3QIuSs0lUUqu8hvitscSVKd8G94v4bAAIxMUv93k4T3nV7B6BTDrnT51wor1W/4wtI+fuHzgaMHy6Fhws5iTxS9/x2/Pt77+Q2e+7t2jV723E9++YhoD80MADsA8EOqCUhpzU8TWObLasAE5h1NJkaAmjeH5tOKRCssflJakwW4BPZF1kqIjBuRRUOXwkJ6w2jZ4rf9k54rHY0ySOd+Jyh0RW2277ZspU5Mpq83TFl7GxQ5RhY9ozGdpqCyK3pt5TFnxkDME3AHnDqRk2LrHxZ9/ej6uv/NUrD7tvaN//Ma1H1rWf+D2Qj57NCF59Cy4+n07AAAzU5M3/deL1jmVscp1+3dPdFbqAeBk4DAXGaayArlUpUncOsWaRS1gNygiiYxAOQd4k87fkYN7DrmuyTbDY46UrkRWORkIjB5MgJwktwGNllvtq3YU+qBQMzJj/p2w5FAOpm21AW3JrdnzxmIjstTQTTyh+Dfh+qyhRx1apyABUzFEI11fOBQO43BZFcsXd6Fv0YX7Sx3rPjE7HdxUall0NOEI4CgD3Kx8sQQpR2/M5tfTf7l782f3jzza6TkeWj0gywQkgConmOaqlZdxruzgieLESeudCMGn80us24w2t9yHUkvmtN6WQ2mW1WghydmbfB9zWfIoUxQWJUknYFnfTdrSA3puj35E+Yhzg5zoxxpAbvf7BuKwqpm7k3KfozOUdjSJnrYcfV5itG51ZghDByFnkJIgYA4gJbrbQnzhY337exe/7sqdI+GNi3qa9xZ8oesFBXoOtq655jrs5Cc9snskv59zeiafncp25iXynoRHVc+5qTpBGA0TItaQKJ1IxYieXWklUbFYWbHBHQd54oDLCwF3IjiD5vyc6t/UnBFAY2qSPDhIgqvbgR77/xtwJHM/kABXfD95jxzyXpI2pZ1l2x+KHkndj4JGFrU0ciSxk7R0dzOVkEVRqXmYnvVRqXmohy44Jyi39Y8OntB5Rbn48I2tpTNfLBi+eAAHgEfuvRXr33jx4z1dpR29ZfKGsDLmFzMUWRcIIFGXFYS1GgQHzARin6oUcZfGw1mp3may6ewyNANkpYmTBmtug5UeFNzkIOBuAnYa30Z6H9II9LkAnoxAxjizAR9TpINRIXIQ0FuwtpB7JCC3H1bjCW3KF/egVO37QvhuAEZrmKwA49MljIwXMF1xMTnD4OeXTOWLfR8Kpr3v51ovS9esHdX1olAUex3XBeF5+ZtnOnrC7lbyvS1bhjOlgo9z+2s4deU+3L+xjq/9qAOj1RZIpk62yQilTIE7WdBggG7C43OCO8HDSQMnB0k+ngZ3/KtbYfGUcjK3FZ17GQ5O5thuD6qS8YunNqglJAGl8UZDX0yhGTU822QA0sOgK0CkjYMDBCoJi9sDrqhyJiE5CJHwHI7ZWg3X35bBPY+3Y9WSFhzX4yPrh2jvWlTldN5/G58t3Fqt1g7atOdorBfVggPAnbffgosuulD2dLdvopQ8Wcj7b8+waefEpQSnDFawaukE7tjgYd94FsxhyDLVYzMaFsVii+2wxrYQidySNLhN9NLOuabxKO6Ew0lMlLE5uOcCfmxpm6fFmseaWnAav1aClqQoS9LSJ01sA3eXqUPFRJCip8YvbMobSGp7eqWOZ/0cFXUi1Mi4aoykwzgyfh1b94X4yDe6sGekDQVGkXGBhb0D1da2ee/J5uf9aGKiwtesv/jFht/RlQnnWn/+3ndjdHyCi9zSHy4eWHDJcct7Z303QBjqCL5O1maExD1OTLtmYoE7RVMicBs+nga3zbmb5XDbyVINIXQ7l9u6NMFAE0zMCRIgaZUTy6rQSXe9So40IXHOiJEGoSc8GPnPKlsT1v6RbCjUNY+kQTNzE4mAjhAEnKcugkTdroSgapvVuVZI7VwKVbBSqYQotvbM5orzLjn7/FN/OD09yde//oWH4Q9nvegW3KzbfngLPnjJW/COizc8WZtetnVe2+x5vrs9c9NdBD95sBVVmUXeocg5yoJ72no7GtwOi602swFtW++EFU+1e2jCuW2rPpeKAlicHGi0yjDAN5mIyXYOAJBWZQCkzgSN99VOjdbTbIjywuf6wmX8QjYXN89NKCMJ/p3k6TLxAkaHsT4v4lwYRk1Oi0AxF6BaC/DYljwGFw9MLOuf/4EPXP3wzSt6Pbz5j14acCc/+0u0Hv/dd3HC6ilg1rvk14/MfPGvPzvc/vDmOjJ5D2UPyDMJ35HwmITnKHC7Fk2Jy7hIgmfbPUVoE/Cm+XVcUTM3+MwfGgHVXKf3i0vWYtDbVfjJMwWQjqha4KYp4FuYIw3vw2yXTbbZl3SbujjyGydpxSPNic79iR6LnmOPkFQ9cVwm4LpcT/1QveMzfhX5zAym6mX86OGzRx7ZuuCjs4L+75PbxnDlR//8JcXbSw5ws57ZMQnfc/7yez/+zee+8S+/7JydnERrlqhhrRrUvgO42nozUxDURNpLO4yxfBhTlPQBAes+LOscAyoGa9KSWo4lLCXFAJkeXYDH/wOJ/ws0BzrQ5DWjzy2TqQvUBNPM4NskyO1i7ahbsLbUDhNgjkiOtGHq2vcqyOezKM57+/5sxxv/FghuMEHAl3q96CrKXGtZbwmjE7M3XPaudSTn4LP/eusvOqfHx+EyJ3YuNbgjgBMSW+rUD5yQAlOcOp3umqApQOwAWqhJc+0559C/iCbCjnLabSXM20wrLERaZxBpjUTUFwmVbUgJdDYhAYgEo8Sq/FGBIWpGDZKYpqgyNQnBoLIHAeuAUHno9UACtAsdHefvz7S94Uop5A2UHRtwA8cQ4ADQ1pLD+OTsdy55++pwfol86Ye339u6aXgEQmotnAGuEwd8DJ+OiKD54mFZKZt/a06cuIbNk1PcugnIzWqG78NxLl/wkogb/cASS6z3Jy3QE5gDg8RdGcz8T+s0JaWyxqAEEHpOpXZQlbRIEtM7TA4vJRJcSAhm6kNVfrkLxb857UOp+6yxbOtpVwiB7znuixOhPNx1TAEOAOVSDmFYv+kt5546um3H3iXd/eHn//0/fusWfcBlFC4jEcgZhf5xkj1BgKQVb2jnQElT6508lSepR3rZx9RLuVKRe7WtSWptDOz4+yD6TcdFF2Z8nzYU5hWoKmhWxcQyymkxCV6R6qK/J6WXx/+dEiDrB+juXR1MzpY+Xp53+hZJsne67jGH17EHOAA4jifu+u0zt7/pgrd6zzyxabarSL7+yMOPkiCoUdcBPJfAcxQ9AcxQUIALmSgKSHDySP8mCcnQ5t4NfHoukEfpqzKZCGUXKgBImrz4uYdFY0jz/dPvJTqoReMBZzBLCBK5PTL6XjTlMEA3WYqqBEHRDAFIFtMaIeMhrdwKCHmu0sGFkKCsKIqda2ShdfFl8wcHvisqm+vMW/XSA+kgX+vLYj348JPI5bLZLc/u6P3DE5su3rFz7//cs2cPykUXGZ/CoRRCStRDgXpdohZKCC6jSKVDAcaICtnbty3L3kzuSziSkWOXytSLzhiyQcc2gRJVSdQY6LGnIyeczLRiQlRgwiRgzQVue/qDuYp2beKf2J+vobzNlAIy4zwq5co0DeIcqAUU1TpFPSCaPkpkPIFCto7Ori7kS/OuWti7/ActrQt3hEG10t593LGGUrReFhbcrNNOWQEAlX/+3q1Dp5+28nP5XM7r7ih9cnx0N3MYh+syCCExM8tRrYUIQpXaqfTX2PpG4Na0hqaCNog0XMTqRzOODVtnTlpve5kBAFLXkh150Zr5f4gPsIO8RLopfvS+LNbRzBEHYj5PiepGy0wnUGK+Q61lG0mQEgQhUK0RTM2qfuCUCrSWPPT19/OOeW2fyZQWfW50bC/vW7r+JULKEX6nL8f17e/eivf9xUXYv3/kM79/aMPHtgw97ks+gXpdYGxaYuvuKnbtl3AZge8BvkvgOYDvUjgOUReqW6bRJKCbARxoDqooLVUq3ilF3DMw+hKNpabEogJHbsHtiiTb6tog1vOYokjlnD9sg4TYuN0EzBwm4TiA50j4roTvCvgeh68nW29/zsWWnS5Gx0NIEHR3tWL1aatqZ6x73T+WWto++YeHfoQTXnvhsYZM8+/hWL+Bg62pqSkQwgFJPrtv77a1Q4/fSXc9V1vr4ICzY3QCN9xZQk8LRSkL5DIEGY8g4xK4HoHnUDBGwaL8Esv82lFG84ckVQMDLDM5WAjrordFXyJJ0hKTsms7sIfSwZuV19kHnKm15MIOycd0hcQfLfHjNtPPzTJpDw4DPFeBO+NJZDMc+UyIUiFAV+skvnGHg+HhPAYHWsOZWmbDJX/6VjG4dPEGzsWVGd9FvlA41lCZc72sKEp6FYuRxHTlDTf9GFyuKmZaZr/VW97yzv2VjXTvVA3lXA55X/3Khpq4jMJ1KByHKqsKXe0iI20gpiXEOsojy2meI6McjdiKSgipnDH9Qipcbf4LIYn+3+nVtIIHjepHHITS24WaKwmYQarWxGM00+2bX5szgXkfTLU80eoIInWEMQnfDdFSGAX15qFvYLG44E19t/T25N8/PTM8VS6/PJzIQ62XNcDt9ZfvfTue2zs8RVn+rxAs2LxrCivXreIX7Hp2G0SOglJHWSOHwHUpPI9qK65+TK6tX6PqEqOiwTHTHNwUtggozs+5TGjPKmVUgunckEQGmx1tsVYiwQ9xdU/CEaTQ1TpqcKoEAN1em3MZqUhNHWWZOogtB1UI9VxlFAi4q57oUIC7JslKQIoa4K3Eicd13Tav+5yNiwYXfmVqujL1mpMHjjUcDnu9rCnKXOvxTTtQbin0//b3m768cePTF2x68gmEtSm0lFy0FDxkMwxZn8L3FL/knKBWB+oBwKVMRDztSGE6YGTAIjhQCyQqNYFqlSMIhe7FTRCn4Cqn1ty2NXhCbAphc/MkLTHpCEbRiNolQ40aqYcElSowW5OoBwKCy+g1zf9pyEvXB7GhTEKokSC1uno+YwS+R5HxKfIZgkI2RCEboKsjiyVLl6Jz/rLbim0rPhzWp4czhUXH+qc/4vWKBDgA7NxzAJ7rLn3q6WdPrFRmLn9609CZ24c3g8gqSgUX+QxBLiuQ9QUoAXbvpxibVJbRYRSOE3fAMj1FYJ22I7BRFfio1oCRiRDjUwGCUJ/Gqaoicphyag3nZ0wBijHShDrEDq15jLEY4A4FHCeW65Rkp/arBwSjkxQjExy1GoeETBxcxt8wfoOJNFISv0dKgPEpjr0H6qBUIONRbRAYfE+gZ14BK45bgv7+pffmcpmvtHUtflzwYLOf7TzWP/nzWq8YipJeC+d3AMBmKeVmABuJ5PNXn7rimzt3bFm6c/gJ5jsBWvIhFnZVse25OoZ2ZeESD6UC01mK6kKgqQtHNPSI6jQBz1UBDdcRYGWB/eMhnhvjYFSlEHiOirJSncvBrDwZ23I3y2NJcGc95dpsUAeZhOOo/+85Ep6rWqdNzkrs2q+0aNchcB0Cz6WJQA6ggmBcqJikow88hwHlgkRX2yx2jdewbXcWC9o4hBBgjOLkk1fxFccNbvac2gcGlq3dA2BozhycV8h6xQLcLP0DDI2NjQ0Jwd9YKmYWrDr5pFuefuL+UoY8m28v78TPHyN4aruHpV0cpbzi5Z4L+K7KwajWgVoAhBxwGQHR1jPjSeSzHMVciAVdk9jwjMTQvjy6iwSFDCB9PUGBqVO9ej92FVFSX48DNTLZNkJzZXsmFKWA60hkXIFshqOYDdDROo2hfQKPb2/FQJtEIUuQ8ymYBjtjylKHXCKoCtQCAUoJPNeoNwS5jMDiBVVsG53GA08zzGtrwfLlvTNvOv+sSSH4O3r7+nYxRodf6cA26xUPcLNaW1shpBhua2vfMT0zc7znitNbC6d8a9PWTYXNzw2XM84B+J6yeBlfIOcTZH2BUp7juTFg+15FKwo51cLZYYDvCeQzHOViDR3laQgI7JvOIetQXVxL4DLdGUrGdCDm4frNWQql0I6hmeirHlZw13lPKqlJ0yPXEcj6HMV8He3lSTBH4rmpMsoZE3mU8LTTyxhBIadyRUYmBA6McxSzBIJLCCHgOQ5qAYVEDhefm58aWHzKaO+Ck5zOFvK+pUsX/TafL0xICWGkzFfDeklK1l6yD6NmaQomJsba27vvKvgPDCx9zcUfu/aKDz5x8VtOe6RvYfejC7uL1e4OHw7jyPohBnomELID2Dhcw+R0iJDr07qjqEHG58j6ATJeHQQhKqFAJSCoa4vPLa5BNRd2HRV0MlSIpuqmJBSFCLlAGKpLwNW8dqnL0Iwv4DoSnsuR8QP4bh2EBJgNJKZrFNW6RD2UCLWz6TCgtShw/JIphM4UNu8VmKlyVOshuPAgaK6aL3Q+mms744llKy/7zLXf+uclreXS4IIFPXftOzA1Rgh5VYEbeBVZcHvlSgsAQEzOcLiU3pDxaze6LsP6tStYW2v+6zysDG7btvMMyncz1x3F+HQNIxMB5hX1LBlmgKWS+T3XtP9V0xPqAggFUTKd1sgNNVGcWBVrEKr4fT0AOOI0VkilpQeBUPMtqTogKFFRWDWp0uj6urhAD9mVIKgLoBYC9RAIQqkPDpXn7TkcxcwsOss1OG4GpWILVgzO5z09vfcXCrkhHs5eSgjnjOWw8fb/I1vaBmaP9e/1Yq5XJcDNKuUj02kYQjg5Mfl+1/Vae/pGr9369C+8kelpvmssd8qKZblTi2wMkHUV/ncBx25gQ3UTBqsfnx0uJ0Sl9HouQc4Hsr6A4wBBQDAaEIShjA8CRhAEBDMVjjAUYIyA+6rFsOeyKIhESdy7m+ph82YuD5cqw68WCFSqEhQcOV8CNIdS62K87azJ3+8Zcx9esWw5+5OLzq13dLT/Xa1WH2tpaTnWP8tLul7VAG+2Si0lABgD8N8B4Pu33oOzTidnSl57g0cr78g49eWl3AwqE09DygAEVRXwEDWAZEApVXnpepm5N5QoGc53gUJWoJgPUcqHqIcBnt6egRRKjsu5BLkMUMhzPLGDQ9QlSjmdpccIwpDqPiXCij6a5pcMIuAQlTpmfIkwS5DxfTDXwcmrXoOF3UXM78o93drt3tKTZT//x0/g3q7e83DF5cf6Wz926z8dwNPrzy46GwDuHRsbuxfAfVLwJTw4IIYe3S6Y37eos6P0twiegZOfRoARiCCADDh4KBGGDEFIVWQTSrrL+hKFHEd7Sx09nRP4tw0BHnmmA0u6HXgu1VKdwOKF09g1PY077y1joA0gRNGhjEcgJNMZfRwAR60eolLlqFQl5ne24ay1r0F7lmDNCQswNT7yuZ27R7aedeY62tvTTj3P2QLgrpaW1mP91b4s1n96gJvV2toKAHeZ+9WZvaAsU65M79wwMyaRKVSCNad2fmRwmXt+3gEYCXHb3Q8D4RQ8n8L3XRQKLkqFKnJ+FcXsLHYfGMO//rIIVEPMtnAU8zrdlITIenVcuHYU9z7OsHcsByolMl4WrNVHJkORyQgU8hJdnRkU29+AjA/ksnWcUeR3P7jb+1JXDu6Za4/H0kXz752t1sb7F3Qd66/wZbleXS7zi7ie2LwHABYRyec5RIpaPcBVX/4R5PQ+zG9jaC26KBdl8KZzV1wtgsm3FrPTwZa907jxZyUsLLvobCFoK7nIZxk6yhydrTX0dI7gmz/LYeeOLLrLrtveVrxj346NV/fNz7ptLQLz2mbQtzCH9r5LwBwXDpPUdck+CWx1/L5j/ZW8Itb/B/hRXHuH7wMImTc5tq/Fd6fls/uquP3+AnrbKVryBC0FFxmPoFwUKBcDLOicwK2/8bBjZwadZZ8sXNA9IaXcd8FbzjjWH+VVs/4fM1ZJmI/w3C4AAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjI6MjE6MDArMDA6MDB1fIaAAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIyOjIxOjAwKzAwOjAwBCE+PAAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 275180000
{'hecke_orbit_code': 193654784010494310, 'n': 1, 'trace_an': 2}
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id: 275180001
{'hecke_orbit_code': 193654784010494310, 'n': 2, 'trace_an': -2}
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id: 275180002
{'hecke_orbit_code': 193654784010494310, 'n': 3, 'trace_an': 0}
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id: 275180003
{'hecke_orbit_code': 193654784010494310, 'n': 4, 'trace_an': 2}
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id: 275180004
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