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{'Nk2': 7200, 'analytic_conductor': 26.550859502583275, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -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': [450, 1, [101, 127], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [34, 1]], [11, [27, 1]], [17, [21, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 67109314, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '450.4.a.a', 'level': 450, '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, 3, 5], 'level_radical': 30, 'minimal_twist': '50.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{2}+4q^{4}-34q^{7}-8q^{8}-3^{3}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '450.4.a', 'trace_display': [-2, 0, 0, -34], 'trace_hash': 2058617396248480013, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.038', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.966', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.058', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.899', 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [2, 3, 3, 4, 2, 3, 4, 3], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [31, 26, 27, 27, 28, 29, 26, 28], 'Nk2': 7200, 'analytic_conductor': 26.550859502583275, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [450, 1, [101, 127], [1, 1]], 'conrey_index': 1, 'cusp_dim': 246, 'dim': 24, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 67109314, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], 'label': '450.4.a', 'level': 450, '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, 3, 5], 'level_radical': 30, 'mf_dim': 294, 'mf_new_dim': 24, 'num_forms': 22, 'plus_dim': 13, 'prim_orbit_index': 1, 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mf_twists_nf • Show schema
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id: 331813
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.a.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '50.4.a.a', 'target_level': 50, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 331814
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.a.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '50.4.a.e', 'target_level': 50, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 331815
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.a.a', 'source_level': 450, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '50.4.b.b', 'target_level': 50, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 331816
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.a.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '400.4.a.d', 'target_level': 400, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 331817
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.a.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '400.4.a.r', 'target_level': 400, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 331818
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.a.a', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '400.4.c.d', 'target_level': 400, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 331819
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.a.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '450.4.a.a', 'target_level': 450, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 331820
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.a.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '450.4.a.t', 'target_level': 450, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 331821
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.a.a', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '450.4.c.c', 'target_level': 450, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 331822
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.a.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1600.4.a.f', 'target_level': 1600, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 331823
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.a.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1600.4.a.g', 'target_level': 1600, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 4}
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id: 331824
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.a.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '1600.4.a.bu', 'target_level': 1600, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 331825
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.a.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '1600.4.a.bv', 'target_level': 1600, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 331826
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.a.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2450.4.a.t', 'target_level': 2450, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 331827
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '450.4.a.a', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '2450.4.a.y', 'target_level': 2450, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 910450
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 2}
-
id: 910451
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 3}
-
id: 910452
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 5}
-
id: 910453
{'charpoly_factorization': [[[34, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 7}
-
id: 910454
{'charpoly_factorization': [[[27, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 11}
-
id: 910455
{'charpoly_factorization': [[[28, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 13}
-
id: 910456
{'charpoly_factorization': [[[21, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 17}
-
id: 910457
{'charpoly_factorization': [[[-35, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 19}
-
id: 910458
{'charpoly_factorization': [[[-78, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 23}
-
id: 910459
{'charpoly_factorization': [[[-120, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 29}
-
id: 910460
{'charpoly_factorization': [[[-182, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 31}
-
id: 910461
{'charpoly_factorization': [[[-146, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 37}
-
id: 910462
{'charpoly_factorization': [[[357, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 41}
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id: 910463
{'charpoly_factorization': [[[148, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 43}
-
id: 910464
{'charpoly_factorization': [[[-84, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 47}
-
id: 910465
{'charpoly_factorization': [[[702, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 53}
-
id: 910466
{'charpoly_factorization': [[[-840, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 59}
-
id: 910467
{'charpoly_factorization': [[[238, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 61}
-
id: 910468
{'charpoly_factorization': [[[-461, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 67}
-
id: 910469
{'charpoly_factorization': [[[-708, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 71}
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id: 910470
{'charpoly_factorization': [[[133, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 73}
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id: 910471
{'charpoly_factorization': [[[-650, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 79}
-
id: 910472
{'charpoly_factorization': [[[-903, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 83}
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id: 910473
{'charpoly_factorization': [[[735, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 89}
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id: 910474
{'charpoly_factorization': [[[-1106, 1], 1]], 'hecke_orbit_code': 67109314, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '450.4.a.a', 'level': 450, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHEw0G6as8zQAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7L13nGTpXd77fcM5p2JXd8/09OSdnZ2Zzdqs3ZW0q5VQQkJoQRJJYDK+cA2+tq8N+BobY2OBLlww2NggQEIEoZzzSlpt1ua8M7OT8/R0rFwnvO/94z2pumdX2BffFdj10VFV98xOVZ3znOd9fs8vvIL/9fhbe3z0M3cjpZh9av+xlk2s3bzOw/ckjxzucuvLpsVNlzUW7no0YfO6xXXXXXrSPrF/CxVfMruuT6OeCCN3r4A9u27zLQCbgGVgIIR4qb/a39mHfqk/wN+Vx4EjZwAuNCaZtQjTH4R87OOfYPfmU+zYtEhF+Rw68fFoyV77q4Pe0ndpYaOTZ3xmpwVRf0h3JfZPnpz/k+MnBSIZ/uTxiV54+uw8m9bBsWHIRCPxhvGRz/7en+391WdPfFL87r/9qd88e/LwRyrxE4/0VvYpSwBCSCW9s8DhamPzS31K/k48/hc1vMBj74FzICqT2h6+tbf0JErI6ORS6590h/L1UljCKObRRx+nUV1m1+Y2y13F8bkqmBFxFDPVtOw77nP5hQmnz0mmJmKa9YCDpzWJiVjfEJxaiLhip+H545LpCYPv+1QqmsPnJMs92LMhZvf2KS6+9GVYPLSCfqi/svfI8HeSxHi3veoKdl+45S7MaFmomZf6lH1bPv4XwNPHyso8wBtrtdFFh4/0zK//pw+Z73/9xIW90YZf6nUOUa94HD1+hnZngTDSLPUlifWpeJZmYJnrxDx/esjm6QqtqkKJiPUTPru3KfpDEHLEyXOaYQinFgQKn8Eo4qJtltmpHhJJvRaycabLvqPTLC5XqVcSAh3RHxraPUUYx0xOrafe3IySIZftuZAn983/xvUXzR2+4JIflpFoyY3r9EHgS63Wupf6lH5bPP6nB/jjj96LEOLWbjd8w/5j8+/YvX3+4mHX4/2f3M/LL19h/pzHsfkeW9YpagGsbxlOLgUoaZHCsGky4dhchXrN8sjBEf2RoOLDwgpcuF5TqwbMro+59YoOzx6e4JG9gueOxdx8ecLmdYZ6XbBtdpn5ZUUlgMHI8ti+dTSqkkNzPhunhkgBvko4s6iYqMdIEjbPRMwvNhnYhFtf1uDkyqUEdcPNV7T2LbZnPmqQXwbueu1rbn2pT/FL+vifDuDt9gpBEEwtLCz8h7/8yB3+M4eeS37oDdVrV5Yb133sjjPMrD/GbS+r8fWHWwzMCq+/VnPPExV2bh3QG3icXlKMIkGgYy7dmrBhasRiV/LEoQmiWLB785C5ruLKnQOeP+LRGWrCEdxwaY/9J2o0qyF7T2pu3CMJoxGdoeaJo5KrL0hodz0u2hISRpKnDgsWuhU2TsLF27r4WhJGcGbJozuK2bVJ843H4bXX9xgNWnzxwT63XLvClTu288ThjawM+4+85eblR1utq9T2PW8IJyen/mUUhUutiYmX+hL8//r4ew/w48eP43lafOHL93Dd5UN14ZbaHxw+6e157KlTr/rmYyfVwTPzvP21K8w2mnz94TqPHxnwv799mU57A196yLBtS5/ZRpW5pZhNM/DkQUVkQaDYMpVw7Z4uS11Bb1jhucOay3d28Hyfbl8iheDirYYnDxjmO1X6UZerdob0BhMsdQRPPC/Zsz3GCMFK31ANLC+7QPLMYc0gjFjuKK7dbZmdjlAiJk48Hjvks3XGcm5BsW6qwwUb6nzlQY92uMz/frvikWdafOmhIdu3dXnXd/gsLG+lPZpNapOb71kYBvubQfvnrtiukx27XoExsd2yZetLfYn+hz7+Xrooc2fPoLSWnU6n8pvv/tXR//kv/tX/mSTJj/zGnx6Ofv57DlwikslKb8kjkJZeV/HkAfjh1/W44qIGpxcr3PGIz/e+aoWrdk7ztcd9LtraZ7bV4OjpmBsuDtl3wqdVjwDJM0drbJoyLC5r7ns24b4DcOV2y6VbJUtdwT3PSV5zeUSrrljuNjhxRrPSsSgv5B+8aZljZ5usdAXX7Bly5UXzeExydmE9J+bh0gsMg1By5GzAZE2z96Rkz1bodiV7ti+wY1OFrz3sc3RxwNtvNcwtTLLvGLRHCVfuDNGixpGTXQ4cW1RHFg69OmgMbvw3P9q8wSTXeqPR8M//7b/51d86fPhQ0Kg3h0kSm42bNr3Ul+5v/fH3isHjJEFIKUWy1Jo7c+SmlY5674EDh+J9zx+Y3nfgTPOJwyOqE0v84jtDrNnI0weqPPF8xPNnB7zh5javvKTOk/tb3PVUSGu6x/e8QvL0vgb3PDPgkp0xW6aqYAcILfCk5uAZzUwzoT2yNCojjp1LePZEQkNN8vrreyyvNHjwOcvlOwS7tiUkseD4vEeSGHZtEVx2YcSDzwqWen1ed52kWj/N/qMNjp6ZpBYIun2PdRMxh874+HqEkgprNFtnl7hsu+Luxyd55HDE225ts6He4u7HKjx+pM+NVy3z5ut9Dh5bzxPPW545HNKXPX7xBxaYrs7yzOF1jJJ1nW0X7FzcsWOn7ozET+/ZfeEDG9c1V8AaIeRLfSn/1h5/bxj87NwCZ+cWLrj/8WNbts0mH51RX57Y+1y/fvhYTKcnUdKyrg5PHJvggf1z3H7TMssdj3ZP0xkEfPRrdaYbHa7crRmGde59xvLJ+/q8/VVtKpUGjx3w2DTdY7rpc2JO0xkk9PsD6hs8IqOZqis2TUpuuXzA4wditBQEfkxQi3nksKLe8NiyLmQUw+ZpuHrPPO2+ZhRPEhnN00clTz6/nUBVCPwE3RoxGMFEc8AOoNPzOXEuYbrVZ/1Egy8/6PP08ZDbX91jS6vJfU9WeOrIkEt3LvODtyU8f3SSQycFJ+dCTi4nvOXVHS7bVuGZg1X6g4Qz82ebz+w/3uyFD2Kbmz7y7n/ab4908o5EXXqy31s+WqtPvtSX9G/l8Xce4NZagD0LJ7+0ad/h5h/e/9DeXf/6nnvUf/3HZ9k+M0s0mkTN+4xCRXeg2N4X/PmXp9k0vciNu5fpD6cZRR6DsMaDz4WE0TJX7obAr/HQPsXH725z+QUrvOrKOgdONJlfGVL1Y9ZPGnZvVpxZVCy1JZ1uQqM6IvA9tqwPOXLWQ8sBt79C8+h+j0u2r9Bqdfj8YzU6g4B1E3Uee97n0gu7TE94HD0n2Lzeo1KJmKwkeFoipeCRvVNM1PtU/REXbVX4ssq9T1lqtRXe/mpoeC2+/rDPvpMDrrx4iat3wonTs+w97HH0dMSzJy3XXbHMj35HzKlzs8yv+Kx0YbkbM7dk2HuqR6X5UH3l6B31pPWddw2EPnD/vvAfJtaeTgz7ffV3e5H/Owtwa08B3q6VhftftrwU/uPjx47d+vk7DvPQE8t0e1X+5As1/unbl9k26xEngjDyGIYe/WFId1jhcw/WuOmyBa7eI4FJrPV44uAk79/f4+2v6XDTJRHrWnUe2TvJVx4csnHdkIu3C2YmNIdOe/SHEb0+tHsCrS2b1yWgJFKGDPqSM8sVMFVmJkIu2tznvqcCRsR8zysjkrDGwZOS9ZOazdMCY2LmlzWd4YhB5NPt+WxdN2K6OUQpidaCKNIcOgnrJ/vceGXMpknN88cmuHcfnF7qct2VXX7g1QknTs/y+P6A/cdiHj+cEIkub7lhyGg4zalzNc4tSRZWIhZXYo7OQ+KN+NnvXsETNfY9+6R6/vSZiwf+rju/9DV1Vyxq//HZo+0noyg+cNWu6Zf6kv93PdRL/QH+ex4HD5+g3WtccOb4M//PoQP7/s39D3zzgm8+eprlTow1gsFQ8tRRny2zK7zi8ogo9kkShbEaawUaw/GzPkcXDBds7DA7CbWgQsXTKDRPHFKcXRnSbIZctsOwZ0tAt1fh5LzA1xGRVZxe9jg9b+iEAq01G1oxc8uGo2d8JhsSgWZmKmKpa7nigiFS1jizWGP35oDnjwWcWLBcesGIuSVJFHsMQsWerRFCWLp9yYZWzPqpETNTIZ6Edl8RBLB7i2B5ucHXHq1y4PSQqak2t1074MY9AYeOz/DEfp9nD8ccng9ptNr8xBt7XLZ9gmNnWhw/63F6PmFuMeL4Iuw/Z3nLK+b4sdcndHpTzC01WFoxzJ85zf4DRy6Q0n5/s8r2l1+24YF//I9/fuU33/PbL/Wl/29+/J1af4bd5/G8YP3K8ul//OzTT19x5Hj79gMHj5DYCnEC3X7MwnLE2SXD4UVBa7rNL37fAi/f3eDo6WmOn61y8pzi9LmE42cjDs8bdK3H21/V4y03+Bw/O83eIwEHTxr2Ho9I5JCtMyE3X2HYPiM5frbOiTnJUscwjA1SwmQD1k/ELHU0nZ5ishmihWaymVAJIh7cG3DhrGH9ZMyZhSqeMpxaNMxMWi7cGPLNvQG+r5hugFIR6+qw3BMs9gQzTcNUM0JKGIWKpY7m2Jzm+HzM9tkhN10Rs2W9hqTGviM1Dp20PHcs4djiiDe+YpnvfdWIqprk6JlJjp7WnD6XcHoh4sS8Zf+85frL5vnFd3ZY35jixNwkp+crnFvWdHowGMYMw4it23dgqH/yZddc//QFF2z5j4PBYP76K3a81FD4Gz/+zgD8w5/8CP2w0tw0ufBHl2167vsOHArl8dOWzsBnFAl6A0Gnl7Dcjlhox5xZgufnBRvWL/Mr71ri+l0Njp2Z5sRcldPzmtPzCafmI/adNOjKgDfe1OF1VxuqeoKT5xocPe1x6CScXEzw9ICJRsK5jqLfj0niGIEgqFTZOuOxa2NIayLizKKg3dNctCkCC6GBY3MVugNLsyqo+QJJTBAkNGsJnb7PsXMwMj7GWi7eFNLtJ5xe0Ew2PC7cFLNtQ496bYSQljAUtPtV5ts+kzWBJz1On/M5eEpw9GzM8cWYoNrntdf1ePMNEMgW+481OT6nOJMx94Ll4Lzl2svm+ZV3LbOpNcmR01Ocma9ybtljse3OY3+YEEaGpXZIN6ygJjaYH799y4ev3l37mYV23Lnxxu9/qSHxN3p8WwN8frHNuoZgENp33/XwwZu/evefyTded/rmay+Y0yfmtjK/PMFSx6fd07R7knYXljoJy52IxXbC2WU4uCBYv36Ff/sji1y/q8aJuSlOn6tzekEzt2g5uxBzcj7hXDemNTXkFVf0ePnF4MsqgQqYW6pwZkFzdknQH0EcGyq+oV5JmJyIMcCxszGdHmzf4FGvjrBWgPDpDQzbZkcsrmiwToqs9GAUg8Wy1A7ZPOPRHSiEsggzolnx2LZxyEpfcOy0JjGa6aakUREEHsSxoD+SnF2SnFm0zC3HBMEQvJgbL+1x82WC9c0qi8tNTswFnF6AuYWYuaWYU0twaNFy7aUL/NqPLDPbmuDY2SnmFgpwL3UMnW5Md5DQ6RuWe3BiRXBirs3tt6n4e2/z73/jd/yEsf6l9/f68pc3ziRo79s3O/ptq8EPP/sRtmy/lp/7hX/265/63J3/9MOf+NpFdz7Wu+CBvQP5sosGXLTJYIwCIZAI3L0q3SEEYFHCEkg4vVThwQOKK3YucfHWIbUKeFriewrf19Srkpon6fc89h+t8NXHfI6dG9GJI/afGLFheom3vGKZKy7qcu3FbY4uxCz0BbVgyOHTlnanzuUXSlaGCXuPKho1zbPHYNcmyzBMGCY+WkdMNmDfiQClEzwZoz0YjCTXX9xn0JdccVFCZ5Bw7HSDHbOKei1kZWSZafVZ7nX48J3wxJGEp44M2b5pkSv3dJicCnnTjV2+9xbLztkGSdTiyKkJDp30OHHWcPJcxMlzCYfOCY6vRLxs9zz/9ke6bGi1OHF2irOLVRZWPJY6guUU3O1ewkrPsNy1nOkozqwYrtmzxD9755zcOSsvOHLk7I7hMLph85ZN1Up16mu/+4cf4Yuf/chLDZnzPr4tGfxjn/wAf/H1uvoPP9b+10/vbf9fX/j6MXXszICzbcWRFdi17Ry//dPzXLmjxtnFSZbaNZY6ASsdzVJXOxusnbDciVnqxiy04cSyQFeH3HTZEt93S8iOmTorvSbnlqrML/kstAVLbcNi27DcNXQGhs7I0h/GTDcjtm0wgCDwLCfPeQgZsH1GsWOTZdNMn7nlEU8eaHDNLkutuswzB6do1EPC0GN60jAYwiXbhvzVnS32bI0ZjSzrJiRRMqBRCXj26JCqV+eq3TFPHQ6ZW/TZPB2wYyNsmw1RKuLkAvieRQjL9g0xkw1JdxDQ63t0+h5LHcXSCiy2DUvthIV2wtk2LA4Ttm3u8X23LnDTxZqK1+TMQpOF5QoLK5rFjmClbVjpRbS7CSs9y3IfznUlp1cM1+ye490/tcTOjQ1Oz6dyZqXB/GBLkqiJX/8XP7/1175x53xy22t+4KWGzprHtxXAl+cfQXnVKuGxbZ/5yoF3jvqn/n13ZYXnjwWcPBcxv2I43ZYcaRuuvOAcv/XTi1xxYY1zSy0WV2qsdAOWux7LHc1yB9pdw0o3Zrkbs9SxzLUFp3sWRI/bX9nmTdcbLtxYIQxrLLcrrPR82l3Fck/Q7QuGI0sYW5IElLQEHlQDS6tpmZmK0N6QQ2dCnj4YYOI6b7ghRHsrPLp3ggs2whcfinnl5QHn2gMqWhEnEVOTEEce2otZXKzxiqs7fPGBBjs2wiMHRnjUeP31hlgMePpQwpGTFbT02TCpmawLqoHA9wVKQGwgjCzDELp9y0rP0O0bVvqGxZ5lkCRs39LnTS9vc/vNIZgGiysTnFuqstj2WOpoltuw0k1o92JWegntFNxzXcVcO+HqXXP8xs/Mc/HWBmcWJjm31ODcYoWjpzXPHemyc+c6Lrxgy78a+pd85IaXbT/e7Q0Gr7zm8pcaSvnj2wbghw8fYcPMVv/ZvY/82MLcU39w9NBz4rmDQga+YDBKWFiOWewkLHUFZ7qS4+2Eay46x3t+YpGrL6owv+JAvtwNaHd9lruala6g3bVuye3GtHuG5Z7lXFdwpm2YbPX5jmu73HhxzPYNimbVo9OtEHgSUISxxBiBsdAfAsIw2Rhy4JTF2JA7Hqkz6le5aLPPTVf0icwKdz/W4qpdHgfO9mgvN3n5FX2+9mjAhinL3mOW//1tHfYeDdgwJfnqY4qbLlEs9TscPjHFVbtD7n56QDyqceOlPju3DhnEPb7yqIJEcOikplnTaAH9gcRYQWIsUQxIg/YN7Z6l3ojYunHEzZf0+Y5rYqbrFeaWJlhcqbLccedmuSNo96Ddjen0YlZ6hnbfsNwXnO1K5rsJN+w5x7//yXkuv6DG3NIkiyt1FtsVFlZ8zi1JBiOLpwwnl4S5/vor7LVXXPpzWzdd9v6llTPhRbt2vdSQAr5NAD63FMveoPeWBx/60EWzNe89f/6xR73ZaYWvA7p9wyhM6PQTB9S+ZaUvONtTnFyJefnF53j3Ty5wzU6PlW6L+eU6K70K7a7PSk/T7irafej2LJ1+TKeX0BsY2n3LfE8w34MoGXHlrgGzUwm9vuWNLx9xwawhTiRaWsII7nqywvFzFTZOxjxzqAKmxsVbFFfvMQSVPo8e6DO/UOeyC+o0W8s88JTHdbsqLPZXWF5uMjtreWiv4odu6/HwXs2WGY+FXpvlpSmuvqTPA88kTFVbXHZRj3PtNg8916Kq61y7x7J72xBkjyePCGamIubmI+5+0mMYKaSExFgu2BjyHS8P6fYUmyYNV++CMKw5+dYOWOl5dPqKdk/S6UGnn9DpJXT7Lphc6VuWBpLTHcHKIOSm3fP82k8uc81FFc4utljq1FjpVFjpeix3NZ2eZDCC7gCUHDIzGeNPXR9t2dT/F29+w/cf1F7jc0IE5qXG1kueyRwOBsTx4Ee++cRjv3P/gwenXrXnDBdtmaXTk0QJKCVQUuBrQTWQJMZgjcWSIIXikQMb+OU/9XjbTUv8wG2L7Ng84uxik4pfpRr41AKPelXTrUoaA4+JuqY/TOgNEjaMDIORpTsMWJqvcPKEJYwNp87GBIEFBL6yaCnoDxQCj7ivedkFgp2bLNs29xklXb70sGLfwUled03A1Zcs84EvWXxR44LNfZ56QLG5pVjX7FNRVcLI41wX6hXNlg2CJ/aFXL27yi1XLfBnnx/gew1ee4PFC/p8/aGQLz5Y57kjVS7cVOOCjQnrJ0N2rIu4/IIEpQxaWcBSCwLWtwLCyKPb93nmgEdvqOkPFL2hpDeA3tDS67vv3h0k9AaWzsDSHsB8X3F22VJrtvlHt8/z3TeGXLmjxumFCdrdKp2eT3eg6Y9cPXxsIDGgFShZ4eiZmENP3u+9680Tv7N/75NL23dc9096vf6f1eu1/3kBHoYdBMlPnj5637sPPHPv1PLZPk+KJpVAUK24EwgCYySBsRhrMUZgLQhhUcLgSckzB9fxxPM1nj99jttv7nHzpUNajSZL7Rr1ToXmwKfX13TTiz0YavojzXBkGYaGMLJEkSVO3BHGPtaAVAJPCyq+oNUQTDZgdp1hy4Y+6ybbfPlRuOdxD2kmeN01Hi+7uMt9z0WEwyY3vUzQHgw4t1jnxt2Gda0+VR0wjBXznQhlBC/brak1Rjy2v8Krrp7g5Vd2eWy/AjvBNZf6/MSbl/jaEyFffbjO3uMVtq1XzE5VmWzUmGhANQBPW5QEY2HvEUGSCKJYEMYwinDfcZQwGBmGI0N/aOiPDL0BdEYw35PMd2FohrzmqiXecnObH3ytIYomOLNQp9Or0O37dPoevYFiMJSMQkEYQRS78zWKLEIILr+gyplTIc/s+9rUJS+L/++3vulVutvr/0njJQT5SwbwdqdNHKufeOzRe9/dPfvVmel6xBUX1RiGEqUsWjmAx4lAMF6+KYTLIipp0TKhqiXz/SofvnMLdz7e4ZWXr/Cu16xw+Y4e060aiys1uoOA/sBLga3cEQpGkSSKBXHslnpXu5X+2xoqPtSqhqlGxOaZPjE9DpyK+PDdFQ6fqNMKqlx3qebGKzo89HybO77Z5IZdFbZt7PNXdwqUCGg2IlZ6I4wFJWB9s0+n62PiKm955Tk+9MUaO+cqvOmGPmG0yN1PTxMlFa6/dIY3Xddh19Y2X3+sz1Mnajx5xGfLlGSqKagFAt9zN6EU7qY3FoyxOfjCyAFwGBqGIQxC6A4FyyPBUheEHvKyPSu86ztWeMWlCesaVZbbNVa6NXoDn+7Aozdw4O4NBf2hYDCCYWgJQ0OcGIxxWjcKPZ4/bjg7v8S+41+d2TQt3n39DTfZ5eXlP52cnPyfA+D/27/8Q/7Lr3dIVv70H5w7472nc/bkunjUpdX0kTJhGFoSA0kiiBMIY4EUAiEUQoAUIIVIl2eDpyy+NlS0YGmoWGpP8tG76jz4TI+brlzhXa9d4aqdbaaTKnEc0B9W6A08BiNNGCmiWBInksQIjBUILFJYAt9Qq8QEfojvjTi1OOLzj0gOnvQ5cnISZQJ2bvS5ZIfimos7qGCepw812NyqcdmFMLt+maVOk8s3S2Jj+fLDAaO+pFWPef31Qz53d8Txsw32XORxZmXIs4c9tm6Y5Mod89z3VJcHnhWMQp+Ld0xx8daAi7d0OXRmiYOn4OF9NQ4crlPTgkBL6oGl4oGUDmjWupvVnT8IE0FvJOgMBZ0IQhNj7JBrd3V413d0eOXlCRunAgbDCRbbFbr9gN7QrXq9oWYwkvSHksFQMAgduEehy3TG6Y1ksveLLIMQBp0V3vuXX5/53H0n3mMU8Y0//KEPfOXdJ5jY9s/+/gL8zjs+xm2v+yCCt/zg5qknfu/N1z3f2jE7yWK7zmAEWhmGoSaM3DIbxRIvBk8LlAKlFFpl4E7wlMDTBt+zVDxLNUhoVQTdkcdKZ5KP39PkzieHbJjs885b21y8dchw0OOyHZats4pR5JEkisRIbAZuafB0wrE5y5GzgpWB4TP31Ti1MIkNPSYrik3Tmu2zmgs3w2U7Oxi5wHs/V2dpaYIbLtZctrPN158UiNhjZlJSr8X0Ix9pJViJ0j7toWBuSXCprXHrNV3uf6zKpnU+N1w2xY+/eYH3f7HLw/vr9IYeiysNdmyqsmdjn+t3d/meV3U5vbTEZ+4LWOwHHDvjceqUj6cEUkoEAmMdUUTGksSGyemIKy7tMxpFXLx1xNtvHTEzoZhqBERRhTPzFXoDn8HIoz/U9IeKwchJkkEoGIwEwxEMQ5ODO4zcSuFWC+NkUegA3g8V+55uUz9657p//eMTv/dvfmh31Nz6Fx/88z//MD/yI9/39w/gP/nLv89tr3tAfPpTb37HubPn/viDd3Rre7Ya3nD1MhaBPwjwtSEIDaNQMooUYWTxIoGnJEoJtBKMstda4HkOjL42BJ6lEllqvmWikjBZFfRDSTesc+Rknd/84BSYGBHHXHNFnx2zIXEMxhqsdUkcKQRSCbTns/+4z96DFeoVTcOXrKsJ1k9LZqY0m9Yrtm9M2LN9hUQs8vufbHLseIsbdntcfEHCIO7yzacDWlWP6QlLqxFSqzopZIykPVQs9SyL7YR2r8orLlvhkb199h1XtJoVrr+0xU+9ZZH//Cl47GCd3sCy0tXMLTWZXVdjZnLI9ukh/+c7+jRrbZ46AvtPSDzPopRFCANY9z8LcQwXzCbcdHlMEnlEcYC1NYahx9kFB+rBSDMMVS7fBqFgOJIO2KED7jBMGEWGMI1bwsjlCaLIEibWaf4I+iPBcqg43Yl4854uFRO2/uTj2/5446afjX/4h3/roz/8vb9uRf3/+vsD8F/+jb/g8p1bVe8X5O2fvmvvB37wlgOVH3tzzMbpHkGgmGx6KJXg6QB/5DHyNKPQMIpSoIcWrQW+kvjaaU7fU/iexPckQZQwCi3VyKQXwNKMYRQZRrGTOcNIMkoCoqTCvoN1ntwHibU4aDtt7Enwlav5aARw2UZoVmGiLplsKKZbmpkp2DY7YuP6FSK7xO9/coJDhye4+kLFhVskO7cs841nY+YWJ7hmh2Syaaj4AwIZYJUgTiTCWuIkZLlXYW7R4+qLq7xsd5f7HquwYVJQqzS4erfhH92+yO99yvDsqQYrPcNKVzG/rFnXqjPZrDLZnKBZi1hfj9h+dUjgxXg6RqkEKVwwYdMgPYoU5+Y1UayIYkUYqZREVEooklEoGYYuiBxGglEK7FFoCCOTP2e6PoxTjZ8FtLFgEApWQsni0BLHQxZWhvzFnZLjZ56p/ad/UfsA7e82h0+88pPzR96brN/x03/3Af6JT3yC2emaeurAybdH/ZU/+/xTZysn5jS+SNi6oUo96HPx1jZKGrRM8LXPQHt4nocXKrzQMNIKL5KEnsUPJb4nGIaCwBOMfEUYSka+cUwSJ2NLZxRbogTixJIkxul7IzCGHNxCgJKgJXgeBFpQCQS1QFKvKSZqkskJwcxUzPbZPo36Cp+8P+Tup6dYWWhyxTbF9o0eu7YOScQKX364Rt3TrJ9UNGpDnj6E67jfaumPFFfuirhip+XsmYT5ZZ/BsMYbruty71MDDpxS1KuSwG9y+YWGX/sHi9z17IDP3bWOxY5l+0zCclvTaiom6h6Nmke9aqkEhsA3BDpBKye1ZBqbW4tLWBlBbCRxIohTCRjGgiiSjCLnvISRcKANbQrmFNxRibUzcKfAHsWCQQS9SNKOBCtDQxIOuHbHEj/w+h5bNvSxNmDSSyoHnp/+i5NLJ350vr3jY5//7CeSN3/X9/zdBngiT8tTi/b7VdL7r535k5W63+Ibj08wGsWYZMiBE4t8760d3n5rm3WtiE6/gqcDRlHC0NMEni4xjUoZWxL46UXJD0UUQxhJpwnjwvaLE0OSOHchsalTkrolQojUkXGyx9eCwJdUAkm9KmjWLK2GYcPUiPWTXWK7wkfvlbz/i9PMVCpcsU2wbaPHBZsM2zcu88lvWpaWKlw8q5hsQqMWMXdUcm45wN8Bo0iwfkLSasGBI5bljuHsQoVdF1S47Zoun7+nwnQDAt9HyRaX7xT89JvO4clzfPa+SZ47VWFDJ2KmFTNRVzSqilpVUg00gQ+BB1pbB/I0KM9Bjruxy0G8AzpEiQNsFCWOFHKNbQhjQxiRA3sUQ5gCexQL+hF0Y0knhN4wpuF3+L7vnOcdt/R43XUQRRX6g4DT8y0OHliqHFo4+8cXXLio8exf43jm7ybA3/MHn+LA8eQfHD326G/L4VxTK5/1dZegWQx92iOPrzzi881nq5xdXuDnbu8w3QoZjqp0+hV87THyPPxQE0Ya31MEKdjDSBLG0oE7FmOBaRxDlECSuMjeGBdwGWOzHs4U3A7gmb73tANIJYBaxdCoxrQaMetbA9ZNrnD/vpC/uKPK/iMtLpjw2DkLW2Z9tmyAPds69OMOD+1tUlUe6ycVrQa0GiMmJ2J8XyOEu7kGI5+lTsRK39LuxZxb9tk22+DlF5/jjof77D/VpBZEeMpHiAl2blb88GsXuHbPOf7ijgYPPdNisaeZaca0ajG1iqRaUQSeIPAknifQSqIUqX3oUG5xPazGkAM9Tky6uqXBYmzSgNGVAERxSWfHzpUZxYJRJBjE0Isl3Rh6Q0McDZmudvjZ2xf4Zz8woOoHLCzV6Q2q9AYV2t0qUmqi4YHmVFD//Sv2XOfPH/3w+9df8D8u6PwfBvCVdhcl5U/+8Qc+8e59exentdQoCVUPWhWDEgJfSJZVhc5A89sf8dl7aJG3vKrHLS/rsGH9iG6nwmAUMPI9wshLmTy19yJXKxKlQI8TB+4oTpkpkSlTgTESYynA7ZKUKXO7bJynrXNjfEO1EtOoxEw2R2xc12Gu3ecPPuPx5UemWFquc9F6wbYZweYZny0zgh2bhmh/hQ/drTl8os7uDZLJhmSiniDliFPzlkBLpABrBWGk2T7T4WESOn3Fcscyt1Rl95YK33Nrm4993efoXICnI4TwMLZOFEuu2bHM9h/o8OXH+vzVl6d49GidzZOCdfWEeiWh4jvZ5nsSTwu0cpaqlCKvybC4m8xYnNOSOMBnII+TVNKl0i6KLWECUSQYJQ7cwxTYvRj6oSHqRWxZ3+WWq5d56yt7vP4ai7QNFpZqDEYB/WFAf+AzCDVSwhUXSsJOb/r4afOeS6++XfV63T+p1xt/dwBu42VQ4sefffL+d0fdgzO7Nvt0B4ZRZJHSYlN9IIVBC8GK0HRGLT50V4W7nm5z9Z423/+aAd95Q5t1kz79YcBgFBBEmijyCGOdB0pxXHjZUSKIY0mSCBIjCq1tBLkqseR+ulLOdfCUwfcMgZ9QDWIa1RHrWj0G0YCvP2358DcmeOiZFpO+x+WbLRunJBumfTatl2zZEHLh5mWeOjrgM/euZ0Jp1k8ImnVBsxbR7id88ZsVGr5FCAeswUjzlptGfOFBVxPT7hnOLWu2zDR42809HtrXZe8Bn3oQo6RwIDc1hqHT+j98W5vdG8/xobs6PPBci+PLVWabgomKpeYbKtrgezhLVbob2TE5ZOVHJpVqxhQrXJwC3REERIkgSkTupQ9jQT8RdNMAPhqF1Kp93vm6Zb7/tR2u2ZWwftKn16+y0qkwDAMGI5/+0KM/9JztOFIMRx4rXcEj+w/MHJ2/592vuuUWc3Ku874tG5rf3gA/t7DCkwcWeeIQPxKEn/utwfxd07MTmt6GgPnliE4vRiBTW86mQHO1Hr6UdHSVkx2f0w/WePDpHh+/osvbb+vz+puGTLd8RqOAMPIJY48oKhyBOFHEsSQ2kiQpAG5sytymqCkTwqZBpavj0NrgewmBH1ENQhrVAQkDvvaY5IN3tnjmyAQiCrhg0rKxZVnXUqyf8pldJ9m0PmLbbIcT813+8HN14lGVLVsErYamWYdmLUJ4IZ1BnVbDpbOthSiWTAWK2MR0I59uP2G5ozg1X+XSCxv8zHet8J6/Djg2X0erKL0xNHFcYRhKZqcDrrmowxUX9nj22Ck+/I0qdzza4nS7Sj1QNHyoexZfWzwFWrp0vhDj1XUGsMbddIkRJNZljhPjwB0mDtiDRDBIYJRAFMckYch0pc8bXrPCO1/T5RWXx0xUPMKowdJKhWHoMxr5DEMvtyAHQ01/oOkOJSsdybllw/PHznHH41+ZGcrBb/3gW26IrX36z6PRNvxK69sT4P3+gOsvmX7rX37mkf/8wc/c2fyJ151h++wGFjsB/aFyma/EYKxIWdy6rKS0eNJQUYKuUnTjJudGFT77UJ27n+lx/Vd7/Pz3drlkW4eZlqIpdQ70OGXzOFEpuCWJkRgrsdZJApsHlG7VcKUABq1jAj/GUyGdQcR8J+I/frLCkXOTPLa3hTU+01XBzDrLugnBdFMx3fLYMC2ZnY7ZvL7PdGuZLz9uePS5FldsEUw2JI2apFkz1KshwhsRBBrtmo9cljGR6UWPiI2gOzB0e5aljsfZxSY37unx8ktX+NBXK1SXFFpGDpBWEyc+YSQZjDzWtSpcu7PHtRf1ePiW0xybl/zFHS3OrdQ4uRjgK0ndE/iZDJMu8MyJPJMqOCaPrSuiioyTI8MEwsRCEkMcodSIjZMDrtje5+e/t8N1lyQ0Kx5R3KDdDRiGvpOSoccw1Omzypl7ELqJB70hrHQS5towM3uCPY0PTnfOyv8s67ctW9P9zN8mJv/WAH7i2GG2bJ1Vf/XBD1/03GP7mu05w/u/MM133ywQ1iKlSNvESgVTuO6UHOQKKspSiwU97dGPPRbDGnc8OsH9zw2oV0b86BvabJ2O2b5pwI2XddHCtYgJ4eSKy0q6WmlrS8yNRUiLEgmjyGKJQcY8e0TyyD7N5x9q8OzxBmFco6EV66uWqbplsmadD97UTE1opluC2amYTesHbFy/zN3PjHjv52fY2NKsb0KzrmjWBY1aTDUYcf/zimGo8eoOVNYKwlhS0Yqrdg948OmWK3waJKx0PBZWAuYWJvmZN81xcmGRB59YjycBEWGAONYpiCS9gWayUaHVrPPy3X1uuaLPD7x6nn0nDF94qMJD+6o8f7hOLDSjkaIfKZSQCCFWBZ5pTsAaYmOxxuCJhAk/pELEy6/usWPjkC3rIt71+hFVX1GveIzCOu2uxyjyidLP5dwuZwqMQsUwdb9GoUwdLrdCCCm4cnfM224VDDsBX7vz8WatNbjo9W96h9q37/nk4ot3f/sA3NqvA2f8/vLhH9u9dfjbh5/vcPOlVeZXDHsPKTZMCYxx7OEpQaJdE0GWipDC5j60L8FXUNWWQSwYJopBUmOQVOh2E37rQ5PYOGLD+iGXbhsyPRHz9tsGbJsJiSKR6m0JJeYm1Z9SGoQUfPyuKk8dqiO05tjpGqfmalSqiolA0KpbmhVDswKNqmCipmg2FJMNzXQL1rViNkwP2TzTIbErfPzeJoNenV1bLM2aolGTNKqGRiXG80K+/GCFUV/izbiO0Uyi1KuKN1w/4J7HDb2RpDdI6PQ1K13N2cUal+xo8PZXdnjs2RrHlhooaYAo1cseUaIYRS4x0xtq2j2fRrVGvTriki1Dbtgz5MS5NkfPrKC9hCcPaz72jRpCKQfu1fMHrQEMWEsUJmzfEPPO2wasaybs2W7ZMA1J7DEKm0SxZrnjEcWZTNQpwIskkkskOVCPQud0xbG77krCupZmdrrG4mKVvUuaE2eX2bBt8NsnBw/0TWXL+//4E4+HP/U9V397AHz/8ycQqro7GRz5Ay++X157ySZqlRqTS5Y4hjAyWAtSOkvO0wX4JCClRSnQyhIp8BIIEqhqt0SGiSA0gmHiMfI9YgvzvSbfeMpgSfj0QxFCJO4iWXeR3K2TWmR5sZZEKkUcaaTReFrSCGDHekvdM9QCQy2AWiCoVyWNqqJZ00w0JJNNmJ6IWT85YtP6LgnL/MdPVLjv6Rl2TsNkLWXvmqRRjalVQ+q1AdVqjUC52YhCuGDXGIgij+HAdSt1R4re0NAdGNcyV/c5OTfBKy4d8Y/eMcfvfExzfCVACIO1ESaxRLFHGEmGI1fp1xho6hWfWrVCLahRCSIa1ZBrdoX4XsR1u2Le9Zo+WsVpEsgghB0X5amkM0YihCTwFOBS+YtLytXtJGnMkx5RrIgSmQb7LuDPnK0otXHzis3UnlQShBYsdwPmly3zyxHPHQs5eN+d8oe/t/8HV1+6cG87Gj7zt4HN/88A/+Bff5zjR6aqj+/dd/tT+58X22clV+9cYWbKozesMBgaksQlWFxw5zznMV0cZ5lEJ1OiLJI3pBG9JTaC2NhcI0aBJDKSxGgiE5Cktlf5kWcpBWghXKZSQaVqqWhLRSUEHgQaKr6lGgiqvqRWldQq2gG8Lmg1DFPNmOnWiJmpHptmFnnv5w1/dccGtrYU6xqGZl3RqCnqNahVExrViDOLhkNnAiq+K7+FrNJPMAw1O2YNs+uGdIY+g6FNWVyy0tU0qhUatRbves05Dp85yx9/ZjNaaiyGxCTExhLFTgYMQuUq/iqS2lBTDTyqQUK762IM30vwdILnJWjpGiWkdOl8kR6udMVNJ3AgF7RNWmVpVB7bJHkg75yr7HAgly5xlMjcso3SPIWzb4uV21hIIstgmDC3HOPVh7zzii6XrntYTCt5+wXbrjh0752fHrzytu9+aQF+yc6Kv7wy/0txf+WXls5V5POHNnDoaMzlF7iSTSFBWIHEonDAtoiSbEhBn/qviQEvBXhiXMOv6x6xDsSJIEkr5ZyXK/JAqay5ISutddJIS4OWbpXwFGklonW+sRZUAknFl1QDRbWiaFQljZplop7QasRMNUesm+yzbcMiDz0/4kN3bWKyErChYWjWhAN3VVKvGOqVmEZtxEP74cl9NS5ab1PdW6TNByPFdXssu7YNePiZFv2Ru9i9gU5B7lGrVKlWWnzfq5Z48vlzPLh3FqzCmMSVw8aWOLJ5PclgpKkNLdWKouIbAt8j8BMCbdA6wdOuxFgp47ZgkU4eIiyCQs8VwblIz69j9cS4hgpjnFMVG1ECugNwktu1oniOSf88y0sUh5SCrbOay3dJLto0xdxCVe4/sPSvqxPHfM+r/ToQvmQAP3ByIE08+NX20vv/yVT1tH/txT7nlhTDUcDckqJRBYFASkuqQEEZJxVEqr2VRSVp57oRju0T10ybpNk2kz+7rp7EFvaWtbbwuBlfcbNUdZbQyVYPT7kSXFe05bJ/ga+oBIpqIKhVBY2qpVlLmKjHtBojpicGbFq/zIP7B/zqn23g+MkWF64ztGrQrCrqVUW9AvVKQrUS4XtD2kOLkgpPuSA7eyTGFV1FsU+zGtGPDf2R25+nP0zo9iXtqqLWDagEDS6Yjfi1H2vzbz4g+ebeDVgUxhqSxBAncZpKV86xCCTVkaLiSwLfEviKQBs8z/n9WlkHcOUArlKZIoRd06Br0jjGWIHN8woO8OVcQ/baAVzkYHY/O8uxICpycrJYPC2ZqknCQYvH9grmlgzHTh/3N2/3/8Wv/PMf8qxt/yshJv670/n/3QD/xJfv59DeDwolem9dX32wcvWeJs2TE9QqHp1+1m6WsjTCMbkAISTCOHBLaUmMRUlLoiza2JQhbHoyXZYtSbtUsg53k5aBZgerAJ7K7mKFSKWR0/mkaXnn6gS+GwBUCdxIhmpgqVcMjVpCsxYx0QiZag7YtH6FB/f1+TfvX8f+41Nsn3IOS6MqqdekY++qpVZJqFUioiTkL7/aQCqFJy1KFDahsSJlPY8fft0yX3k0pBsG9FOA9waKbk/RDjQVPyDwmuzZGvPvf2KRX3m/4IFnNmCs60+NE0MUu0KzUWgYVVy5axAIKp4g8F1m09c2z9hqZZDKBfZSuFVWZgAvUp4pyMkZvTj/6eu0cC2rbSm/diuwA3aSFMDOwW3SdJ+wzkXqCbr9mJPzMc+fFjx2en/lqi9++f94zS23i1Nne7+8ebb+/y/AoyhhMdz1nz/4yb+8eOv0gHfeNqRahemJqVR/5Rlxd76yEyMF0lgSYZHWoozFKJcmTgwY7UBvEpsyR8bYGZu4tqy03Bm76nNlAJfCWVGqLIPSOnIHcInnSVe/4QsqgZt5UgsS6lUH7mY9pNUcsL7V5qF9fX71fVM8e2wdWyYF0/WSNKlo6hVXv1KtxFSDEM8bcWpxEk8JlDSpLVcEmUkamG2ctMRxRCeqMBhZhiPDYJjQHUqqfUXF9/C9Cp6e4OItMf/+x+f5l38KDz43Q2KkA3hiieIkZXLDKDBUQsnQV7kE8zzwtJNork7FoqUL8B0R2LwwaxXG81yCyYCeZUCtKNW1iHSVFXmJRHn1LVbg7IYprpxLMFmWOwmDeIBXG/GDrz7H5lqvGthdL1/dsvg/HOBf/NJX2H1Bo/ZLv/XZyw8f9r1n9m/lzscjds/CKy41JEa69imR5xNKIHcnwTXKFixtVNZU7IBusyZjm71O5UjJ/rPn+WxSFEVUUqbOTQpuJd2s7UKeQMWDwDdUK5Zq4PRzrRrRrIW06gPWTbZ59MCQX/mTSZ4+tp5NLcX6umGiKmhUJLWKolYVVCvu5nCp/pAH9wp6Q5+KIk2Xi2yiXB5oRrGmXlHceFmXh55t0o+cTBmMEvoDRTdQBL7C9/xUP7e4ZKvhN37qHL/4R/DA3hkiI4mMSZulix7MkS8JfJPXzGffWavsIJUphYyTaZb3fI9y0qyoZSmuZ1lXJ5axgq4M2CbtebVllysjJCmYmtB8160DLtgcUvEmSRLFsX2f8zveD9buvfur/Vfe8h3/4wF+6uRJNm3e3Pr85z71hxfORK8SQxhFksQE1JTkzAJM1EFrJw3Kws7aIrGQLXfWiLxbvnwiCkAXdRPW2py5KTsm6doqIJVCIi8yUjnASS1Kx2S+B75nqPhpgVWQUE3lRaM6YqIxYLLR4YmDI37lTyZ58ugMsy3N+pphogr1iqBeVdSqilrO3gmVIKZRG3L3kz4r7QqTk0WaPLuoJtWtUaKYmVa85mU97n7EuC6a0JRALql4koqn8bSP1lWkNFyy1fLunzrHL/6R5YH9M0RGE2UVgInNmTyIZF5d6GuJ1mkRlhQonZ0b8s+X34SsTetn1231kTGyyYL+/DklLmvzCsY8Xlp16WR6082u0/QHs5w8G2OMG240Mv6rNmzZ/6dvftNb/+HxY8dWtm3f/j8W4CI+wvypE78ookPfP1XrILdU6A8TjHUDLSu+yiv0MmYoL3mrT0621I2BvgxuU1TAjTF3+kOWkcsuiNOTRY23UkXFoFa4+gxt8TzXWFzxDRU/oVqJqVUi6pURjdqQqYk2jz0/4pf+aB1PHN7ATMtjppYwUbMpuFP2rkiqgWP/ShBTC0JiM6IbBggl8TIGzzW4SGs/nK0WRR51f+jKBcIKkxnIhwl93zF44Es8rfF0tgGt5fILLO/5h3P88/9qeGDfBiKjGSWCMMk6bgSVyLXy+Z7A1yZdvWTa1+pWNHd+RC7pZCl+yc5rmU+ygrUyuMdIqLzyloFdvq4lcAvpHDYhYDCUnJrXzC8rB/ARnJ2fZ/LMwe+vTT5xKIyif/nfitf/JoBb+xSwdfu5g//liqnKSbbOBlQrkt7AaW4hRKrzUoBnuq6EcAdysYYBxtigpLnLf798orOywDVBZbbcpplRlQZTWls85YDta5tXD1a8JNXNEdXKiMlmn4l6lwf3xvzye9fx+OENrJ/QrK8mTFQsjRTc1YqzEzNwV4OEih/TrIfsPWq567E6vpR4yqRyreBDB3CIEkVsNLdeE3HRhT0OHa+yvua61oehm2fSH6YsrBVaeyhp06SR5bLt8Bs/vcC//CPDvc+uZxhVGSWSMLbU0jruwMOBXGerl0klikSqJF/hlBQlgIsxkGc6M5ObZZDnrDy26tq1wC+tvOOGgFtpjXH5kmEoEcLVqfcHCQsrhmdOnORI+8Er/u0//4ntX7r/8LE33nzh3z7Ajx47w9zc9AXHT9/zu3q4+NZ6ZYl1rXVY65yIMBLYPJmTBXnjS11xYrKTknWajIO+fELKzJ3/G2SC5DzgFhapMlvQgUGrlLW1GzHheYbAMwR+TMWPqQQhtcqIqYk+y90+9zwDv/HBWZ46uI51KbhbVUujKqhXRO6VO+fFOPb2HcCrwYgwSRgOKlSUu8lkBpicKEQqUyRxrJ2W1yPXkR6JEsANvp/gexrPk2ilUNLLAY6AK3cIfuMfLvNbfx3zwL5pTrebDOuSVmJpxG7aQJAeXi7RbGoXUgJ4weD5500/9CqOKpGVLV0jmxdvZY0V49fT5te//HCJpmLFhSQtZ3CO0nIPjp3rs3n73FvbZx5I3nDTzf9HZ/ns0ebk7N8uwPcfOEq9du6Gr9975PYTJ47zQ69XNKoJg1GClK4gPrOQhLAu7i2zwNiJyQBtx1+vAnaut4vTUU5H5BfBjXvIeittPhTIVQ065tbauBETeXmsA3fgp+Ce6jG/PODdf1njM99cz0JvkvUTkvWVFNwVp7traWBZDSS1wKYM7rR3JQiBkDuf8FmOfKYDxuqxEeXVyunwMNI0A81tV/d5cH9INwqYiEzaxW7wR65W3dcO4FpZlPQQ0iVosHDxVsnv/HyHLzw44Nfft4GTC5MMWpqWL2jEhloMQeRGL/vKDTTyskBTijwIzp7LgXou/c4TfI7JFXfnjjF1Xm9UAv34XUJaRmHz98jOTxRbBqGlN4TJluDS2b140dbbz51a/5dR1D/6N8Xt3wjgvV6fWq2668677v+FQwcOECcbOXY6ZnbSzSUBlzgxJVlRPh9lJyX97ljKsiMDtxgLQlZl3vN/ZSwQEpmnTu6tq1SaaOmArZUDt6cTfC/B92IqfkTgRzSqA7Tuc/eTCX/6xSafv2+G0DSZaQrWVZwscRZg5pOr9BApc5fZO0LrEfc/16IfajbWbHrDrWbwzE6TRLGi4ilefsmA2DiADyLBMHNDQjdyzdOZxalSILrsozu3gnUtwfe/ukcjOM37vjjgnuemORtV6VckzdhS19aBXKdxSDo9zN0woiCGlE2zeixJicVfDOQZwFddP1t6zmuEykGmGL/IWdwVGwdyX8PmKc26+nqeffYIfuPyX7j4shsfHw37B4LKtx4J9y0BHg0O8ewzd9JsNjcl/UO37NnSp14LUEIximM87dK+Wdd2Dt5VoCxqHSjd0envzsvaYozBy0mIrGmhkCY21/tKmhTgJq35TsGtXC1G4EX4fkTFC6nVhvh+nw/eofnNP5/h0PwUXlBhtiGYChKagaUeQD3tsK8GLttZSRNCrn4lSVcCJ08WOgm90MdXCl/aXK6VvnpeXuASIpIw9qh6Q2ZbA1b6DQaRSMetuVjB85LU5ksHH0mV+9dF4OoqH9/6yh7XXTrPb/zFkL/68nqW4jr9wKPuSZra1eAE2lVsZs0QOkv6SPIbMssC5+d6DOCZQLRriKsM7G/1u9XkZ1PZk1uO1tUJ2Vjw5H6NYJmF4XO3HDg23NTtdA48/txxrr502/83gI8iw6VXXHfB0vxz763Yx7n8ohhjXdrX8wxS2JL5nxXrlL+QOC8jrwE2RS3JWuYus7Yt2YG20N2p3lbSIMvMrRIHci/G106SBP6IwBtwdC7mj79Q51P3TnN4bpJmzWOqApNBQiOwaeo9A7dMwS3zpFAl1d6B726cZn3EJ+/XHDhWpaKEyxhm8UhJyRaOUVq7EWsu3g5vvq7Ln35pml5N04wsw8gShGncoAxau6FHTjtnIPdKJ9WtCtvWSX75h/pcseMkf/T5KQ6fnWAprtL3NHUlqKVA96V1N47MpsRmLG5L3njhduTXIIs4Vz/OC2a7NoZapVRWx1rOZMiqQcH0Df1RRBgbDi88xz/88T3vfdWtr3jj4nLnW0qVFwX4SsdQbwg+8oXHtpw++czOKzYcZve2CVZ6fgrmlK1ze0/klt94QkaMf6lVEqUM7vIXh+I8ZktZIUvK8iSrazGpa5Kxd4KnYte548UEwQhfj+gmIX/wUZ/3fWGWU4stjKoyNaGY8i0TvqGWMnctT9/LtE4llSapd56D23fZy1EUcuBkQC8MmAxSFydLOmXxSLZK2VJNSqRp1jU7toSoYEg3bDDwBdV0PomfyisvlSg6cz3SeY1rg1fF+ok+P/PWPrffepb3faHDH398moVBnYGuUNGKmhZUlSWIrWNz6aSKloVJkK2Kq5l8jHDOc83WklnpZzsO7LHV3JYs41WgTyws9jWt1hwT+uGd6ytiy5aLbz5qbYwQLwzjFwW4zwlIGutfcTkf/fqZB7092ztUPYPn1RiF2tUH53UJaRdN5mtnAE51dQ7qsS/5woxdfgiKE5xVvuWaO2fvtEpOJQ7gOkGrBN+LqPghvhfSHobc/5Tkg3c0+fi90wyTBr7vM+0LWr6h7ltqgaXmF+CuBJIgkASpNHGJodSZSAHuey7zeeSM5Z5Ha4SRR1C3awLM7JGtdkl63sJI4Xma11zX5UNf67H/ZJ1BxY1mGHkWPwYvMnihQSnpfGspkEIWw30ygGceu5HUAs2G1oB//n19Ltk24q/uaPDI3gnmB3WGysfzNBUtqEoIZGqjZvaqdJ1WecFaNmOlFBB+q90Txh2XDNBiDXNnGDCrjqxPNEwE/ViwPDAsR/Dej+716lOv+ejWrd2X9Xvd+Rf7DC8K8GdPbpRVnrjBH35yYrJxji/er7j2ki67t4R0BxVGoUecOKBnS25WeZaBvPBLyy1SYo2nWkC5tASm0ao7mWntsiwxt3ByREqT2oGJA7hKcjmidUS7F3HfM4I/+1KTOx6bYKndQFYrNKqKlmdp+oaa5+YaVn1S1nbMXQ1c8qriCyo+aYWeScFt3Mrgxyg94vmTcKpdcYmVVN+uTpxk39n1QaZVeEYShpoNTcGurQOePh7Tj7x8JJof4sCnklSiZIkakKs6c4rUeVa66urD3/maAa+/fpmvP97lA19u8sjeJovdGm3p0/M1vhL4UhCkXVVaWnTaaaVKZceinHtgPPBcbSbAWkmy2kjJ5Ey5kC6xkNisyQX6MQyHIZdtX+G6S3scPjXiP37wKxO//JOvvuFll+76Ei8yPOhFAR72jgXzHflf//LjK/XH98/w3EHN625e4D/85BK7t0T0B27HgiTRKZNLTDqp1WajGqxILaRxJh+/xc/zyJtj3d8uF+eLTJZIk2pug5IJSib4mZshI+a7MXc/qvnifQ0+c88E5zp1RKWC1/BoapjwXCdP1SOVHVD1RXrItOQ01d2+IMjYOwO4jvH9mIofYm3EnY8FHDtTZd2UwJMmXeZF0ehbZrQMhKmkGIw8tm8QvObqPp/6Zkgv8hhEgopn8WPH4qPIllYplfvVCDkmU9wh0xpumWZNNdVgxDtfPeA7rlvk0/d2+cJ9Ne5+qsG5do2B8Bn4Gu0ptBB4UuLJlNGF0+VKpB1Y5SCfkk++CuG2pF/W6O3S700K6Ow5MhBaQWhglCSY0ZArty3x7358idffCI/vMxyb21/fOn3Lfw27Zy8BBv9dAD9xdB/tTo+TxwRVWmzbKLjjYZ+qZ/jN/22BresM/UGF2GjXyZ6UAG5FSapkUqQsSV54gcsYPH/OQJ0/O1C7DnknR3wdUalEDEcJ+0/B0dOKD391gi890uTcch28CrrpUVOShmdpaEPVs1Q9qHgO3BXPzSR0ZaaydIj0z20KcpOD3Pdce9qh04anjwTgeekyb0sp+vGEQHaRMyfFuSlunPPlO0ZcuqXHvlM1BhVBLRYEkWWkSK09k2/r4gLNzIIstErus6dWpDEqnT7gMQw9qtUR/+ANI95y4wpfebTHR75W4+jpCvtO1QhXAuJAM9QaqaRL5wNaSld2LECSOlbpNZIloK8mqeJ6F6tX5p6NMTbp2Io0yxtbgzUJjIZcOLPCr/zoAq+5qsLhozOYsE5DafbvP4b2XryM9gUBPn/ujBiNhr/w2U9/ZN2NlwYstxMOzRkWFxXffLzG0aUFLtoyIEks2mgSozCJSmWKLDFJ0QZVlinjt3hx6R0Oxp+FMAVrixTYMiEI3CTVOEk4uwhf/Ybm0Mkqdz1U5dRylUOn6xAEqJqmohV1balr41wEzxJoNzg+8EhBnB0yPVQKcFLNnYLbSwg8x97uxgo5Mg97j9bw5Lg9KMX4cj5WlpA5KUams108Lt0+YNdMn2cOx/Rjj0YkGGnwYzeeWJUALqVASDnG5FCu8ivJoEQWfZSJx8jzaVZDfvh1I155RYdTyx3ufNjn8ImArzxW4/RihWTgYaQm8hVCuj5NUerKd2wucvbOxNILGSzjAC8CybEUPxZMAjYGE8FoxM51fV5xVcjItDh0osXh01UWVizVYwfXfd873/kLJ0+ees+WLZvPqwdeEOCi+1k8Y77/gpnj9YanGYwUV186YPumeY6fG2AigfUSavUBcahIjHa9e0ZgrUo98UyHl18XX3j1qcidErJUdBZQZvaf09dekBAllsMnBE8fVnz1oRrPHPF57kiFzqjCKAzA81FNj0AJagpq2lAt+cCBzuo0srJZVxcepLLE9xW+L9MbwBba20tcZtFzOr/iR1gTMrckGdkArSW+tOis0GyVBs8YzWbLcqnPMYw9BJr1UyFSDelFHn0tnNMRFTU+WpmxDKQUZaM9HXaEwBpZMHnaWpYkEi9R+fiJ/shndjJk24aIay4cMQgH/OiRNs8c9fnqgxWePlLh8PEKUaywgUq/lGIsG5QGSqJ0PUVJr9jSb222xORAyGaZpw3jxoBNHLjDBJHECM/wxAHJgVOCR58A4ojBKGFlcLq+bO/7fqXUe/6bGPz3//wr/NVdS0pF94lX7j7J5vUNBqFHq97nO1+zwN4TIR/6Qo0Pf7XCm28a8eqrQjAGT0O17k6ytQLSijm7CuCrwZ3zeh6hOx9bSAvSEIeW/tCx+dGTkr++I6AfKZ54rsLBEwELPZ9R4oP2QXmopsKXgqqCmrJUFG6cmUoLj5Rjbd8TLulRBrcn8VNZEvgQ+KSuiUuZux0l4jQjGlGthJxbTvjqA274zeSEQMss+C1wsIbRbHY9RZ7VHI0U66YVr79xyFceGXC8XWfgSSdTNHixxYsyzzr12GXi7ELKs05k/h7G6tJ7OKD7iSLRithTRIkbh+es1IiaH/HKy2NefsmIt90y5PkTkif3egxCxV99tcaRsx4ISX+gSUKVpjslVgu3IOeNHS/C47Z4FrFFmHQTAmuo1hI8P0HYhNtuHvHmm4YYafl/3tfk8aMT1OqwvprQCy1W9Xht5WHx1tdep/7pD346Xr9tbYPyeQGuFSCn/uC//HVw5f0Xxvzqj55m8waN54f04pDPfqPGX3yxSRJJPn2XYf1UjDWGq3dHvPO1Q5LYdeisb1muunxIrWIRpijGEC+kv9OUe7svePJxzWLHVe09tNfjc/dWGEaKYaQ5c9bDCE1kPYzwQGtEoNFS4itBVVoqyhIoCJQlUNbVgOvU89UFc/tZX2YObpX2aIqcvX3P4PtZgVaSs7fvRygV8o3HFZ/6ZgPla2e3jenvF2bwzAtP8mZdxXDo8ZabBnzm/g5/decEvbhCPdXhXqbDoywpY/NuIZFVtuVnV5a0fgngJm0S1o7JPa2ItUbHiQO6SugrN0h/shJz456Yl++JQIx4+6v7DCNn23323oCH9/pUA8FCR/Pksx6dnkTI86rxNUC31lIPDFddE7KulbghoInhHa8dctWuGGtg/aRh3XRCHAp6PclTfzZgYdGn7XlUmwN+9V1n+M4bZq8MWq0/iBPxM38jBg9HbTy/2fzmvZ/es3PTQH3qG3XOLBpmWglKeZxZrvLNZ2oMEw88wVwH5tqOjp4/YfjcXe5OtIllYjLhhitDGhWDKVfenB/dTsdJwUpP8cjTPp22QmrJyEhGVjtmEhqUBqkRUiGlxJOCinJebiCNGx6kiwRGNqPPgVwUDQ/aNQJkjcdlcDuGT8tqvYzBk9IRE+gIa0NOLfiEowrBhMRXZWtNjGcx01W78KxFCeSSxCjCyGOyodi6LsQXQwZxwCAWVLUbgpnVkGQJLSXL5a0yfy/3HjJN/pgie2pM2j9ZSKM4TtK8gXIJMhUTxQkqysZMuGPzOudUCWG4ZNuQ0A6Q2tJuCx55WrPSd7KpsMBeCN+uEKseGG64MqY1abGxOydVJVAiMyk8zMjDV4Yf/84Rl20/w9n2AkIKZiZjXn5JwoNPz6reEfa843u+q7m8styZbE2+OMCPn1pAqeX3PPbcU6/eMnMCUZ3ia080ESZxJ00IjJIQrKoesoYYSzubkKQsnRXLmW+YEqhLqak14C6lsqXEZAXdpM/CLYdCSKSUbvxymqDw08NtQWLT+ScF42Xg9rTrqHdb75GD27V1pcP1fYGvyUtMHYOnLK4Nvk7wdIznRQRBxIkFw198pQ7ax5OiCDBzeSLWMHg5e5cNCXVgc4N1wsjjXa8f8Om7Bzw316CXeNRitymtqwK0RSdOuidP/l5QnMtspTCyVOCVHSavhdFa4SVuXoqnE5RSaTY4cRascsB2wb3JBwcpYZDGsK5m+M6bDchsqKrNV+TVzI0tfHtrJNZ4JJGzNbGSMBFjVmf23ylpefXVCUJmHUKalZ7Hk4fm2bL50VcvLVz1niSJf/ZbMvgHPnQHWkn/U19f4sCpDfh+wGQTIgNRaunkVWJlfKdnMw8iUp2V2CxefiGA54a3A3N2cdIARqYRuxACLcATKSsLW/i0MgW1zJpqi0IiT6ev81poke/z440BXOayJfBt3tLm+6Y0OCfGS9nb1xFShhw7K5jvVBBaE0jG5Ikcv2/HkltjaWlTDgQVYewx3RyxfXbAvrMjBolmmECQCLzE4sWpDo/JnaWiVkeNdSpki6abtGtLjcGZNDLoxJAoidLZ9uUqnZ2SpK7NOLALmzZ7b5s7XcUIiqy0YnW1YPaZyg5butogxty3sb+b//fpcNXUjv7h74gYJqc4cfCrPiRrqHMNwE+dPIFAsKmZUNmsGUaJSxknMDLZFs6ChHGD3qQ+pqHUpZPdBDnwX4C885cOETJPKDhAa1Fk1bRwYNai8JpdRZwjel0CeTYiQiu3uZTWxTwUB27pnv0M6FnwmYI76/7RJpconnb61PcjYiK+cH+Vufkq3oTCz6SJtOMOCqtW7BIHFCMYiqTPcOQm2L7p5h73PzWkE1foa001NoRpOl3J8YIomYMse6cs0Cw64p11mM5UsZAo957aCGIl0IlEK1kaDqRycCtZZI1deYTJM8llgGcmQQbu82Y3bfnmc1Itt5KNKAHd4cpaWViqKQlEsRvy2R9qhmENHZw+L77GAP7sE1+nXq+84pOfu+864hUqWtAZWHoj1xAbxtYNdRlLqZaqCUk7qrMLR6lbZ6yEdvwhM/4uZcqypIIiu5gZwNN2NJF17GQ7Hot8FEIZ2PkcFOV6RvX5AJ4FnJnu1pkssaneHq8l970I3ws52zY8drAK2k9nnNs8PZ8zOOMs7vBdbvYo+lLzrGOiiCKPqy8aMd0a0F6u0Y8VNQVe7L6LStzAJBWVAZ7mDPI3kmO19zYdw2GsdDeVMiRG4BlBoiSJMiRKECuJlkXhmsxBnm1uVZRKCDmehCsGCK3u0Lf5SbDZ66wwb4y50yRQOkQ1A3bmNDk7VaUzGTXLHc1yV6Er1eu27Xz5Kz712Tvue9t3ve78APfUCBMn37ljo71qaV6glYeQUXZJ0FIQJbYYo5YurzabNpWxd7oRqS39rvw1S+SdP+e13elrlafoyUs4ixkn2TAfW/ReZgM8ZQnYUqDy7pUC2FnzrWPvVHNrcr2dWYKOsQtwe6n+1jpCEPH5ewPuf6aBDDS+FG7+dl5BWLTRFYVJq7OZ5dFomSeuSIxiMPS48bIBb35llz/+fIMwCeglkkriNoHKVqt8xRAmTcaYVTfUCzE5GC3TGTSCRBvH4imDx0qiE+PiHZkNCiqPfHPgLt9YMk/OFeA+X2nteHl0CeTl8o4ywI0gsYWXH0aK/tBjuauZW9IcOz3Cr4dXtTYMvjOOo/vOy+BP7zuNDRqvf/a5r/5QODrLjs3ujmn34hQcTnBIWQx3yfZ5GWsWtim4WS1TzncvM9Ytktc1lIp7st7OPE0sbAHyUmmnTuukXaOxSJk8BXvaDeOpcXC7cQqrmDvt2fTT9jZPZw0HcemICIn4yJ1NEhug8uxlOcAs+hozZ2NMg2ckkA/QkQ5oSRZsagQe77ytz19+YcSKiRgkFQaJcLs/pywupUXGIpcNzi5cXXskKaxJUQK5INHpNtxG4ClDoixJGsjGUqYSRSKT9FnaHOQZqMdLKVaVNp9n3c7TebYkV9aUWovxbG8iSaxM2/zcYM8wkiyswOn5BL1yhtfdsvRDr3vD6+76gbcd+4qubB8H+EwrRHvDi9qt9s5hfIaJbZIDp+usdCVJko4eS5t5k2x+Sf4BSh3xnKe3svS8GuBZfFkGeKZfpRgHe8bgsgzsLKOnitdKZYBfNewmBbZWonBScjvQddy7xmSbMncRYOoSewdeyGMHJQdOV7DKQ0mJL01elFRIlOJLrXZRsqOYDrV6KVZEscfOTRGXXtjjm89XiZTPIBZUpBtQqmORrmxpF06camEkAsP4W5Z0bR7cFmyuU6ZUxu0nGqf7F+lEpOOtZc7cBcBVXq5cFMIV/bKI86d7ss9TrjTNmLsM7rwydezcONdJK8tkI8LKiEeOgS9Cbjgc7rxmMb6o07VfWcPgj++bR+saJ47MUeUsH7yvxf2PV6kKSd1PL5gCaR24yjUE5Rrese74MsBf4IvmQBerpIqwJYCXgql8WS6G1pRnoOh8Fkoxps0tuwXAy8N/XLc9ObDzbGXO3Am+dokdTzv3xBLxsTvd8HYRaHzpgmG1Wn+vDjDHfPA0K11i1TFv2iiiSLNuSvKO13R57GCTUVKhr3yqidPiOotVJCm4s7XCpJ542cGSRU1+9p7Grhq/BtpAohTaGDcUNQW6TDJJmAJdlorf8q1RCgbPaonKJkKZ2MbbFcsTFWRR8ltymca7xlxNTrMe8+ZXLNNoDbjjQcvWDaeYrJzGM/21EuUjH/sCnpbsP77M/jMXEcea6QAaDZPuSFYePWbHtVwJ0KvnYIwz+AvVnoxLlTGAjAFcpH2XZSbPWLt41rLY+1LpcYD76dyWDNwu4ZOytpdJkvTQydihlevcee4YfPSOBiPpo6RKs5fjM1lWZzDXlpUV52Vch2fjiRVxogkSzTteN+TPvtTnqcNVIuXRlxI/Mak9KpBJ2VGxaXtZ2cg16XuN71tUZvIM3BmLm2wokDHIJJVeyq0WQtpc+48BfLVEYRWLlyyVsv23RpaMDYISpeFQIr9LNM7Hb9UrvOOVCW+5wdAbHuWur38aIeJxgO89eIqLd26q/cF7f3/HqXNzTAhJY8K6Guk045ePH8svyHlYPB+LWyo3oPR8Hh5fPSpMrAG3WMPgGdjzcQel8QflqU1aZ0BPtbdaBe4sfZ8BW5mU0TNwm1SexOkRobyQA6c03dAHpVN5YleVx65dkcZcFDt+UceTMOlucabQ4nVPsGfzkKcOhCQmYGB8KonAk8K5NqlUyVk8B5WhqPHLmFwUGc60HkanYzuyGYPKQKIc4GW6O4WSpEBPpwLnswyL7iqxisUL9l6b+xjDRQr0sQln5TZIMw58IUiL+sDaKr2hTzWIWFpJCFV9x9u+95/Uwv5P9f3aNgfwEyfP0F5pv26ht/4XDx5/hg0tTT2wuX7N264oL6+20HBlwBs7xt7jAF8rTXJwp7/I6qfLQFGyzOQiX1Ecm2cavGBuWZIl5V2MPUXqhTtwOwAXQ4FyBter2Dvr6/RDlrqG//SJBouDCiLwnDyRdkwuFYNzvmXG2p0nI9IhSGUGd45KHGuaNc3PfU+Xrz/WZHHkE0rNQEr8vIeyfHO5Wp+ilt7kZbQWk4LbOIdizFlx/5axFmWFkyrSgT0bK6EkJFLkgX7e9F2aUJv54Pl3L7spYyuYoCzXyuxt0nORlOOT0og/gftKIykZhgpvYKlVNBsm22y8YOoXl87tvc8kvU/nDP78/n0EgU9/6TQXzQjqNZXP9JOl3bjIXJOxKaIFe1sLRq6aUJVeyfPZgxm6y0y3xl5bzeKymIKUAT2rjVayaOcqtHdqGaYALzS3yYPKXJZkwFZJOkulYG9PRfh+yIfv9Hj2UBWkh5SSIFuuVzk/ec2RKLrRzwvucsKnzF4pk0eJJo49Lt/Z562v7PBnX6pgdMBA+gRSFEmfVcBbzeTClph8VVCXM6ciBbd1Y64VaAuJcIG7m5mSvlfes2nTiVg2J6a1fZupriiL8QzkqwCe9/UaSv2+xWjmTBpnOJJCoaRlRWtOn5MsDldYt2EvcRQWEmXzTBXf9xl2KvSXA5T2xgDtlq90GL3JZnmnEXc2w0JkUiVd7sZkSqGdyl8wz8qPATybjFUMzc8700uTl3JQK8bBLWWhv7OUfQ7wErizWYUZwNVa5tbKsben3dSq5bbhs99osNAOoOKtkicvLFGym7hEX+e5sBR+b9aJk0qUKNZMNhXf9eo+n7l/yGIvIFSaQSJTezJzU0QuFaRYJQ9S1s5+ZXI2L8wBZVMdno2msMWmUcYIkvS9cnDLYuxa2SIc79tMNcV5XIYywNewd7mkIB+wn80dF2OSOHuMRgbjV5DVKlGkHMDnTh+k0WxdsO+5x//RycPzbN3oY6wijtP9y7PtnWObbvNsiONiYL00bruRnMFT63BMoqSvy2nb8vIlzwvybOLpeRh8bHpswd5Opsh8J4cywD2djSwryxJzXnmidTmpE6OVy1weOSp4/lgFQ4CQzj3JSgdUibll6Tvk8ru0Eq4OvjMLz5jMFit6KY2RxIkGq7l4e8jOjUMW91Wxie9YPBF56YKStuTepFIll3+Zo5JllaUT4FZQBJ9gZQk80oHdSDApcyelSQEqDWaLeYbFXkSFkzK+gpUxUI7TyoP1rS22YXf4S7dEiUW6xTg5PuMs8Zi4KWArgxNMzlz4j15+wyueeOa5A0e1pyJsMpxt1Uevn2mephHUGYYwigRhKBjFuL0OIwgjSxgJpDDE0iASEIn7skaUrEIJ+Ti28pcpVMmYVBGrNKtYBWxRCiiFKBi7DOwM7Dr3wctHuqW1WqW5y+ydDQlSBXur9GetI5SK+MI3GxxYqIJfyJOyeyJWsfe3Ko0umGtcLhQypVRGG2ouXBfyphv7PPxcDYybaDCQEi9Jh3wm41KpYFO7Clo4Hb7GuXBgtlZgpZMsxqZAl9kKavMA36Sv8xVjrP4mc3LGjYTsLl8NcrMqHsh2jcj2+oljiGIIIzeMKowMUfYcp2PuIsv8oTmuuDp5fa8/mu0Pk6N6FI9IpI8VXTasW8RY6PQ8+sN0U6ORdFvUDUXafydL18ylhd2WHNbtpmYzcK+aM1i6sGXvO/s5Y+7xJoHMvRFjIM91uEjBnTfhlsCdzicstu1gLbB1MSAoH/GmTQry2MkTFVGthXxzv+LT36gzGPpQ02gp8MS4NFkdYJbl13kBnoO8JFPsqoRPGnBGsWaioXnbrUO+dH+fh/b72LrHIAnwhaukdNleUQJ3Ztll4C6ey1GRCz5TR0c5Nk+k0+MO3OnPpSGdiXGSSOS2qEUaseYmHyOzVcmusgFhx5w5gck2rUoEUVKAexgaRiM39HU4Mvkk3kFoaQ8kSwODkSG+H6G9CH1yPkJ5Me2FEE+usHVashDU6A18BkNNb+jR6SsEMi/SSUoVYGRLIWXLUIwtPy/koayx0lgN8gLM2Y4NuZOSy5PxDGYB8qxs1qLTccFrjhKovZyt3aGUCzB9PyQKE770QI3njtfA8xBSpaCyY+UDa1lsbSIrv7h5Bi8bHL/WC8+OzC4MQ80l22LecHOPJ49WGcU+ifQYGIWfZAAvzS/Jgj0ck5NkIDdjozusBVSWxzBOg2cJOymwaYLPbfvnAC+FA7+0FmHKq617C5neWOVV7MVyAefLsCalrQfjGKLIEoZJuhNdQm9o6Y0s/ZGgO5Kc6UqqjZjpqQHTzT6YPvrf/f5n8bTm3NIS26YDfvldS2zfNKTdrdLtB7R7AZ6qkCQew0gwkq7jwrklEmWzIneBMI65JSWJct4ET0mapH9cgL0AsZMq7v2EKLP3+Mjf8i4OcqxctgBzNhPbaWxbYm9TAnbK3soldbSKCPyQZ44JvnJ/jf7Ah7qHFFnlYLke5jxZTFH6jqVLbMkCLJtqYMu4m1Lem7IowAojj0Yj5A03jfjM3UOePByA9hkaiZ9pcZNJleLzkADnZfIC2BbnmFiZrr7SNbZkq0peHlECujRl2Tg+5Chz3wq70J4f4GPJHtImkCLQzA+L21UudnPTl3uWpR4s9xXLQ8FS3zK7vs0v/sAcl6/7KmcPPY4xMfqymYjASzihJPc/3+Sj9/d4+6uW6XYGrJ/waDYqeHqSdr9FecyDSCN2mxrkJs0pjAVPL5Sfz7+4GAP3WIFSFriU2bvE5nmxlSpqU4pWrhTcqVOSzwofA3lJouSHA7ZSLqnjeRGxTfj8fVXueaYKFQ3SNTT7pZLesdLY8lH+4XwSZZWdalOLLGtGTqzIA80M6KOhxy2X93nTK/o8e6xCHHtYqRgIjZcUn0cYEElJB499jHGQ51JSOQ88+1lag1VOukjjSC33+m3xPpnLUmhxO7YyZ0H2CzH4uB9e1uBFjOLMGPePjSLL2TacWLEINWR2/ZBWN+Qdtyxw3U7NvY9MsNSpOZPgqktCjNVce3mXmQ1d/uDjM/zJZxXGWN72ygEXb40ZDkPMyDAK3cxmk75j9oVIo2mRj0+2rN51+LwAz4ORVYGmEEXwIlfLlKLoKpckqd4umHy1FMleF6D2VDF9NnNOnGOSuicqwvcinjgq+eidDcAH6SGEck0YmT24qmam/F1yKZY3Ape8UsuYo1JOSbvuG4NJMhYVpX3iNdZq3nnbgK8+MOSRQ26SQCQU/USkBV+py4FNmdTmLLq2MqQ809utJir9WWU3X7rfkkplVQbqTJYZy/g5MOcxDYR9UTyUY7YigViQpBSuKrRWUWydNUzPtnlZ3OXS7X1uf2Ufk1gqQcwffm6avYcNs60hUZKgP/3NIUJIjE04fGaSwajJaKiQEv76KxYtDOsacM0Oy+w6NxsvYx8yhjXOgFJpJqycil2L7HLwMQ7qMrhlKk8KzV0qtipVFBbD7rOKwmJnhxcFty6edaa/Vaa/YzwvJkpi7nqoytMHq+B5IHWpsWH8opY/7/k7ecb505Ze5A0QZSehXEGXSIzK9ojXjEKPy3YOueUGx+KDxMMKxUj4DA2uAlCkDkequ4WwkGRXZhzk1lqsKt9saUFdxujWkYy1Amnd9bGpoZCvFqIA/OqkXSY9ya/7C6xmkI9NzsZqZBiSEnwpqAWKzTOWl+22TE9IlKwBNZRvgYRXX5lw1UULVIMqxhj0gSM1lBT0hx79wZBd0wJfJXmVmq+hWXX14GFkCBDFrOgU5KQgt4J0P3pbOoHjFziXJRnYy3JkzEkZB3W5DqVIi9tcdytZdJvrdHcHdR5w61Se6NIEWqVLlqCK0cpVDR44I/jAlxqMIg9qXipPyFvT1FjmsOSc5F9ujTYYW5/LQC/LlGwjgRfW4pp6IPmRN/T5/D119p9yN19iFINEOXcnccmfPNhMBMW0knGQj12uNMFTlg0qc8ZMupqqFOg2W2ltegM4u9jtDLFaoqy1h1edjjXytixzsxvI95xtfejEFOdqDXwvKY3MtmyZDLlwtoKQAViDuucLv79h2wbv/54/feziVjVJ916HZg2aNUGz7nYVq/huj0WpZFqXIhjbpEisZuO1hxQyZbksUJRpFq6ksVdZfpkU0WpcZ2s97nMrxbhbsgbc43v1eGVrUGXlsFF+JDLkzz5X4y+/0oJKALKCUpqaslSV2+vGL9e3lFrjlBJuh2O1NsOaDbAfC1Dz71rYjtnPUpK2jGXtYu61sJatsyGnFgSPPu0TCwVCYaXCNWinWUYKgGRycDXpjBfnF4lHuxqAOdtmzJ8JnHJ5hlijqV/w9QsdGdhLr8slHBaIE8koVAxGmv5A0xt4dAc+iysVTp0L6MsbZqPgtq/pT3zt+dbS4uIblQyZnfaLkyEK3atLF8sFgmLsi+bSw46fqNWdDat3RstspPLNsbrkNNfcomDqbBc1mTkZyqZsXvys02H4Gbi1MqjS6zFZkid1nPb2dMjzpyUf+noNpAbh2Dvv3C81XIwdrGKs8ncV48gZy2imy/FYsX8aaJYzm8am6XvlZgxao/i+1/T51F019p70Qbr5kCOh8URWRus+iEzSYDMRZagWF6gcO9m0a0q51y7gLDS5lC5RlEkVY1IGT9ncShB2rQ4vL2rlVTxn6ZJUKcsWVt0AiRGEkaCbVjqWG2MQAiVG7Nw198aZ6WFLr69bVChot3xqVX/Mk14NzPH0ciY4bHGaXkhgUQB6fMkSeQdP/iHlKqDnz3aM7VS+XaDNdXcmT7KtA7U2qT5f7ZQk+VRareMc3DJ1UBIV87n76uw9UGhvKaTzvtMOmtVd7aszmDm4c2k2zobF69QLZ7zUIffE87HUwoFbJvnE2DDUXHLRiLe8osehDwWEiQShiYxikNmtWa14qsOjPPgtum4yBi4uskCVPpMqgSsHunCWosn1OZhs1UhtRCHLJsJaYL+YDVFOEJb1uUjGt0QZv2lSuYvk+OmA3qiKvnCzx1RVk3QlSpfeMv1HTToqwuX+KYqrjM393DJhZ6wgVn2AHOSlpXI1qMsBWzlxUmwNWAC9vKTrshWYATzbC1JmzG3QMklBn/3sZn/k1mC6I8ThM4r/8skmQ+nAvTq4HJ97Mr4hVj624cVNpEJf5mnyzBMfP9aMlbAyHXKqiROPIIn52dt7fOKuGodOa1ARJJpQeCgEmmLMccbeuaTM9LcqmLzsgqn8M9k8tsqCP6VS6SCzGpbietrMWUmDTwf00kpdOj+rX5fNiey1ATcNwKReeOJqT+JkfNPZDGNhFNGchm6o0FK4oe6z62J8r7hTMtsqSps8ByPBcORqU2zmSWJXfbIiiBy7xuXqshKQ4Tz9l6tYOw8sRQboskwpgF1+duA26VYmJtXoZcfElILKIrD0dEgnNPzxZ5qcOhekI+KcNahlxt7nlyZrEjyrL+gLAT1nqQJAxbSC1dZhyRNPFIlUJLFm8/oRP/XWLr/xAZ925CrMjJEMUc42TApAZ7XiYvWFG28Fz5nckoIbV0losWSNNZkf7gCdVRiOA12k0rV8jZ2cLbkqJWkrSuRa/ijGut2Po9ik6XrjxpjEpf7glOrjJGEYueSQbtT71IM208ECcVIjSuSaQTS9gWaxrd2GSXGx5NhshcN9GTl2N5b09ipwrwb6au2dMWPhtZY76bPXpuR/r5YpppAp6dYmmUTJRpI5mRKnc/ec9tZBxMc/H/DejzUZGc/JE6Fd5lJk9R7jtSdjzJ27KEWc8mJ0vlryrQ62cmCbYptGk1qG2YiJ2GgqOuZn3t7j+WM+7/ucBzIEFImQDIzzxmWSVRcWzkpBn9naW6zKFrDCeeLlVUbZNH2f2Zq55k5lS8rmYvUNL9zfLSSLW/myME6sLqkunZ+yMI9jS2+QsNxxafqklBBKUkLu9A072xH1yQj9+QehoiJetmWeqy/yiWOfJHHdHnEiWOlpVroVesMWcaJyieLKX0XuFI7JEMYDi7w2Waz94oWHfB7mFoWTMLaDcc7c4yyeBZYO3CZnapVq72xzqmzWnspB7mYNLi3DJ75eY3mUgdsDKd3Mw3TmdzktX74xc/1d+u5lmTbG2HYc3NiCpcakSarHxzp9sjpxmaCMwhhNnGgm/ITbX9vnU/fVWOwqkBEYRYSX63FR+tzjH61MowV759iSRfInLy1Yzebptc5dD1kwuBTFtS8YfXU8VkzBOt/0YZEWfynlhpCe7RqWBtDuSTcv37rirGGScPG2FW69psNlu6pomdQ4vdDkxIkKtcoiSnoY6+y8dl/zuXvqDEJFVSZUtKHI0o1rzvP5nWVgr04ArJYk2V19PtaWpYBSlgGeAf484Fa5DDH5zzm4s9oTWUgUrxbz+W9UeOjpKqakvVUpuFxdb1L0IY7f0GPO0SrNOS5PBJnRVk745FvoGVGqNEyzm2krlyr54nHioU3Myy8LefP1ff7iCz6oEITEIhkKlQeaMhUe5XLW8z5Epr8zzDuJ4j5vqUhMFoA3wrrgVIic0aUoGH3s+qf/jkgBnVuBlpTpC2aXqZ7VCiqBZvOGETdeu0g/Cfn8vR79vuv0x1iUHvKmG2K2TleQpoH+3ltDlpaHfPrOhF/4vRmsrYKSSOVGiB055tMMJJdtMezYGFGrajxVSvasliClC529/tbgtqW+y5LulnbMQckBrsrgNqXfFeAeA7bM5EnK4jJj8Bgl3ZyTQ8clH/h8g7Nd32W3pBv0roRj73yUnBjX22syd2VZxrd4vKA3XK7TJnVR7CrbUKGMIUkUUrrtTzY0Ev7Bm3vc93TAoTkJIgLhdtsYpt8lD/xSqcL59Hj6+R1zZ2xFDm5lx8GdTqQo5UdsWsKRMrIpny+HZFPS4xm4s5u+xA/Fqi/dhLJG1XLhFsmlOySNWsytl0QkSYLSBk/FWDHiY3dN8dG7K6yb9NGR6HNsMeTT32zw/Il11LXOa6hrHuyetUzVYLKeBT/WlVOWPsTauoPSz6WG5TW2WnmOyKqgsrAFMzBnOxrYFw4uc+YujkKmlKRKXlSV4PsRo8Twhx9ucs9jVZe1kdppbyndxFhR8r5LIxPWgnuVS7BKCpQBP5brHQN5yuIpoxcd5oVEkcamDC5RqWSJpUbFmluuCfnpd3b41T/0GcUShAIkifAYCnfd8txDWs14vqCzrMzH5Ip1mjt3VaSTqbIkWwq5UrTQZWyOTN/PirQoq9yQUXq/ktTNnjNsrHR99h9bR6vRZKoZUvGyiWMJQTDgzTcOeepUh2HSQn/h/iqHjzforrS4dKOkopN8rrYbEO/2jaxV0kymEKVAQbwouMccEjl+F4sXAfZqBlfp/Osc0CmTa2nTmXmFa6LGgsmCxVUqR3LmTtnb82PufMTjU/fUGIUeVLPETsHeWhZpeSWK71T43eNZ3DKg12YPS+xduqRFEt3mQDdGFE3cOdClG2KfyhQ3W1yh0g78ai3m9lsG3HHPgK8+opxtKCTWSEKhXdbYkIMMCibPoJR1wCtbgNxal122pS9gx5y0kmwRAitdB6gDdhbUupsit4azGpai7mMc5Pn5yMZKQBgLegMJ+AxGiqWOn04icxZw4E0wXe3x2qsU0jPodXWfcMrj8s0Sre1Yp7pWIp3f5yawep5MU9Ccv7BodfC42gLMAp1vEVAW+vsFAkxVZnFTPK8Ct5Lj7J0Flg7oLrBc6Vk+f1+V/WcqTpoIp79Fqr3L49jKY9nWyC3IL2Kuxb+1SBkP3MYCzReoEc888lLQKYVMpYomHGn2zEa8+ZU9HtoX0B6lGRckVghGQhVaXFgX8JlVEqWUfMpWajVWiVgEn2RpeukaxR0QCosxDzBlJofcexuTdeHbdCZ+drOl6f4U5IYU2aWMq9sdWtDzJL6nUxu4yIGEYYX1G1tU63V0khiUgOkJSSXQINaOY8hm+0lVNPzmS8dYwEmeyTsfuMvLetHfl809KSRJDupsm+7zBpgZuFOAj4G6YO5sy0Fdck2kdBlMQ8Kff6HKez/ZxGZbowgNQqJFuuNvprvLyZ1yvbMsxRyiCJpyKLwIe69u51sN9vPZhmVguzmCCikM0ihkGnAqZfiZt/U5eNrjvZ9SRLF0xTJGkSAZ4hoP13TerwL5mLMii7+X9WyWmdyWX0uXmMkBL0EaixGuE9+Q1cjYVIbZtECrMCxsKePj6uKt6+yRjsWHYVpCkq/sJZ/dCqZncXmPyQYQCzbN+Oh0XIRgbZlqzkqrimLy67hKlqxl81Jqu9wBI19Id6eAHmPzMoOb4nWelSzYW6ZyxFUMmsISlAlKRvh+xMEzkk/dVafX86CWgltqhJT5ThK5W/MCq1N2QxcgJ1/OvlWSJ2fC8wab4rzMXd4yPbECuaq1TQpNFCU06glvu7XPl+6tcvCMdK5KuoNGYjRD4ZoYiqDYlm7O8xUVlT7zKjZHpM6KdWBzzftpEUcmXVJwk8oSUkCbjNVt5icVsqk4FzaXP6k/TbnzK78e6ccJI0trxhIL0M2WC6a2bIDYSKeRKDNVumzgsmpx7JpAkyT1w3kBNodSAHkecKe6VpzPChR2HOR5YZXNK+tUaUB7NqxdjrG6Kb0ued/SdeuMIsMdD9X5+uNVNxxcqNQadNo7KLN3ySJc6waJse8sVkHjb6BSxsFeeh5L3ZdLaE26B6axGGnyXRuMURiTYIwmGia85qqQ1758wIkvakYmdVWMsw4joRiS3rgmixWyD0A2YWINm1vc9cLYIm4QzvZDCtceJ1PJYgSkySKTSba0lNYUA7dcgVaq3fN3K80ZMbZIzceJLTY0K8U95bqf3mDEzjDGigS9f3HTiu2NvqS1/93NIM7lQqGrUy2UVnANRhJGDuxrHucFwAuAW44zeG4J5qydTjUVjAE6qxosg1nmf164JnpMfztgK+kylsqPuecRn998/wSJ1alz4rKWouR7a1GsIGXv+7xAZ5zFx2KTckFOsbK/YJloNjvcjMkT8qBzTXOyNC7DKVzAKY0hTjS+SvilH+uw/6Tm7ocVxpc5i1sjCEn3QMqhW+hkkbJt8XHdn2WJKWcBplpblL5UClJp0/9L61tlVlSCgFSvG5u+VynpJUr/RnZbWeumNgxHCcPQEMXk+DufRJ5o+Fx1if+lG2+eXNEXqU/PiZb8ddNMvhszLIZsZjdw+u7GSIYjxXLXYxiqvBEUKGm5gsXWBJSCNcHj+YPJdLuSVY6JSh2TbJPVMf1dCiilLAWXOXsXKXmlYk4sSP7o0w2OngoKaSIce+faO/3cq73v85XGFsu8GGPxsRt/HNtrmp1y/Z2yV2EXrpIpmRc+BnRJIiUyLcQyxrgEUKTZsSnkZ767x+EjPseWsxI/pxGM8BgZp8fdbzIX2mJLrJ09YtywT8bIrQBklt7PQWFKN06m4Usgxwok7juqVSdt9e50Iwv9oaXdc1uaJ5l6KGNPuLA0NBV+78+O/rp53+E5vXHdyHXHywGebKfZMbcsZtto+54rWBqMBA8912KxXS8tV+4dlBo35sfYTZ6HqTO9rUq+csbeq8Gd/1yAew3Qs1R8mbVzOzCVJiomCRI+8JkJPv2NOraict2NVAiRau+UuYuJVeM36hig0++HEGuYew3Kz/soOqDOn/CxJZmSDuEpVxlKtw2JNLLE4hKZaBJhkH3D7a8e8Nxhj/f8qSYUGcglGEGCZpjemmL8U+VgXw1yVQK5Tek6m2bm9Ae57i7+VqZb3VIlbLFaZb6/KMuUVF9n2dOKb1kZGPbNQS9UeAqq2uZb3RggSlXGbGiZqMXEiUUj5xFIrBhg1QrTEwolPKJYUQlcp8vccsLZFfjYPS0OHTVMBSGTTYmnFVanI4sLOzTPlBWOSTF9dCwzqTKZYtYGl39TcJe3u8s7XrKsZelQMVIlfP2RgPd/sc4wSafgyyyxo1b53ucBtlxdGrtWe4+z0IuDvMzkWaPBWNKHzA93VloeaGY6XGQ6vMTiaa14IgzCaKRwuzP/2Hf2eOBJn68+Lt0kBFPIldhohqR+dVoiK/LhkuMgz9NAq7cHzLv3RQ5yN2OiBPKU1TNACtx0LJF1AZVNG1lMBfa1YHpCcPnuIbsuWuHj9/rMLVeYO1cBrVAemMQS6AHNah90DasCEBb9vs9M4ynBcrfJ/jM13nTTOX72rQu0JgVfe9jnwEnJp+9rcHK+RWdQY2tDUtkQU/Fda5SUKk/JZpdwvDow89aLUtPzgTuXJyUbUJ4H3GqNRCkf41ZgBm4p3YzB/gh+/U8mOHwqwK4CtxSiyFqWKwZXHav973HdbRFCjtXrjGN6dbkca9P1JRZfPdZtDNxSpjo9ZXKRglykIBepVJEKGWou3BTxr36izQP/IqA7FOnmusIBUApi44LOjLULoI6DPPPFy3WuGXOLVJLYsibLQC4o2u9Nmi+wFlnaEaT4p4tGGK2gGkCtYtm6XnP1brj95gVOLiZ8/n6ffSeqfP2hOrVaxI+/scPrrwmYX55iFFeRIkHv2b4Dz9OcW+wyv3yEDRMhcysxv/PeST57f4tur8FAVJjyFBubllbVRbdJ1vRQsguLi2+L6sAM6GOWoF3782qfOwskxwCdMfsql0SlzK1Sv3sswHS9llFi+M8fb/L4vorzvMeONGtZkiX5rm7lhgbKQC9bbEUwOb7Mr13614jv1Yxui6wmmUVWSvbk4M+ynBmTS5sWYzmJIqREGIVIDFJopDFcfXHEz31vh9/9cCvt/klZHDfoJ7SycFRKtmE5AC0olpSdi9R+Ns+z+PMSyBPh7g7jxi0bUxR8ZfIkA3um6zOQK+XC2U7foxK0WN9SbF7X5caLh3QGXb7wwCK/85EaC23B0soE3eFmpK6TmAT93d/9Bny/wdlTT3HLFc/QnJD88ntn+My9M1ivzkQg2RpYJiuGVtVSDdzScV6vew3blYukyB0ReR45kgNavBi4HZCL9HvZEkwKoMsEnbomSsboaszXHgx438catAce+Jn29nL2zsphtbBjPaDlgrDzjUSQKeOs0Slj0Q9jr8dcE8ZZOyuqzhk8yyoaV5WXs3Wqe8eCzURihMUIV5/iXrvpqyI2NCshP/n2Ho8+63PHNxXU4uLDCYG1HqERRQBtxsEthBifV1wCeZ71FCUhkweaDuTCuBMm0vb7bJZOltgx1jrCL1Uxusyls6f7Q81yJ8AYaIw8GtUBE9UhP/qmHtOTPX7tzzfzyNMev/S/vYybrr+ClU4P7fuWIADlDTm6sMgnPl3j0w9ME1TqTFUEk76hEVhqgaVegYrvtsLWSo51cGQ9eGtrSmzuoDjgnkeOqNQ5+ZuAW67S2lnxlCzXeCdpoidGehH7jmr+y0ebHFz0nSWYNhEjFAiZduswrr1L7L2mW6ccaK7W4S8YZL4YbZ+HxdcEm+NSZaydLQN5XlKbVR9KjBB5AiiODBdOxfzsO7ocPas5cEpgPeFuKuO+gZGakUknIWTtOrZI0Fj5wiAX+c+s+vPs3s7SiIWkcTdSkXtxUsumLWoiH58cxoLBSKGlazvL9sschh7NmubNL+9gmed9X4gx2iI8D+kp9Nyiz+SEx1MHavzaB2Y5OB/QqPjMVKEVJNR9qAaWqg/VQDqAe67wSut07EM23qEsO9Qqti7NLzkvc4/9PpMcdi24VSFJZInBpUpS3R0jU+b2g5izHcGv/8kEn7qz7nS3co4J0oFcSlLfe5y9cxancE7OB/ScoF8g4BwPNFfBvpSqP19qvuyVuy3SxXigWe74EYUOL5hbIoRCCJfSF0KjheFtrx7QHgp+8XcVcysCgkJkgSCRiqER4/IkS+5Y8rqSF2Ly4juXLMMseZSfirSiMJcqbtdsYTNgW2Lj5ruEMagwm8GiSKxwu1/EkjhWaSOO5M03dNk+NWBiM0zVBXUtkK2GxvfrZ6/eZb7yztfUaVUsG6owUzNM1iwTNUuj6majVANBNVAEfrHfpNblqa7jJa75DsWrgH1eWfIi4HbZSrsW2KrslJR/dkFliOFz91f52sPVtNZElXS3C5K9VHuXJ8WuHqa5Rp5QbpoWJZ9bjAeda6Btx0C9+rm0CXZ+lHX3WPBpykVX4wM7jZHF68wbt8q5K7FGGMnrbhjxlpv7+CKGJAabHiYGm5AYGBkIjSAyEBtBbASJhdhm9SFFE7objilKr4vd2/JGdetAbCyYpNjnKTE230TB/S7NXMaWKLZEEYxCl2TsDRTdvqLd82h3A5a7FZY7NVa6DRaWAx49uJFnD3tf8XX17GCoUb/7u/+RV9xy6cooSlYOnbQ/eOLYErNNmQO7VpHUAunYOwV3dmSbqZZ3UNDlCVPltrJVTD3mkqgXB3emu+VYYJmcpwTWvfZ0RCISPntvhX/33gmOnKmk6XjPMbfK5pwIqtKl5b30UGmSJxs0dL4hn1KK0rbi41uqFDU85QFH4z/LspTLitLyoNyeN6bJm0HGhtsXAXCxAVS6/Oejk529SenvWmuZbiZcclHEiTnFgePajcNepbMsMt2nrbxXc3l1Wv1zaZUaf8pu/+J3pf/2/CXFBUOUb/Zsnx43Wlmmh2PxUQjT63fhVZv/9MTJZx+8/vrb3B49Dzyr8H3FsdOSmYZlfYscwHmpbL6JarYdNvnOZcWkqRTcsgC3zJl3vNy1zNxjU5vWgNuWgsfVWcqU0cvpeBXj+TEn5yXv+2Sd/YcqUE/19ipb0F/lnLwQe48VVWXXZrVUSYMrtwHr+RXJ+R5rGo+zoPK80qVoYZOlrh+ZZjOdI5FOghUSg8XITJ5YEpHuhCw00chy8YURP3Z7l4ef8Tk6X/oyqR63UhBbydCsdlMyPZ2djMJJsWV3ZbUeX1XnXZyg87g0aRmWzeIKI/N54VEsCbVl6FmGoWQwchOuqr7hwp2wYbZPFEVAugnVd9x8KdVqlScaBnrHqAYqBbPIAZ1tpJqNSysPmc+mSanzgFuvBvd5yl7HwT0eVI6n7AtwS1muMyn0t1YRSx3B7/1Vk7ser0KlLEsygDtb0BMlYJcZs1QROZaWL9mDY+UJq7X3edjrxR/pxV2jvYtCf5m7DOMpfJn2cJp0VmDmsgiRanFrEDa7ASSJ0GkBnUH0Da++esTPv6vDv/9TyfKg9KXTwNOiiaR0eR0zDvICxOM+ufgWILdjN8kqkNvSECQD1hqnyZUlTkQK7nRMXk60DqeBV2fbrl1UJy9DDocFwC/buZmt2zbecfbw3b956UWNX1xajgl8NwjIgfc887hFuaudMYek0OOlDKXKpkGNA13mQWKpzkSW+yxLrslYttKBWopCdysVM5KWP/xUgz/5eINulq1c7XnngWVRCns+9i53/J83gynEGKjH6sFLBUPfCuqZ9VtkNRmzC4tESAHurL7aSMfYVjjWzlm8pMkFGXs7JndJIEsSW+p+yE+/vcvckuT3/7LFIMk+bwF0ayE0Mgez+BYg/5ZMbs/D5Gm5rE1vWitda6Qx6U4eCURSpNe/vCdTGgdKQUyN6LHub155/ZV3xHYuv+H4nd/5bXZslVES93ZFkfkugaVZl9QDQTVwsycDHwIv3eM909u60N7ZGIdCppix361OvcuSDFElcBeVgavBnWntVeWvKnaet4oRXsLTh3z+w/tbHD/n52PXnGPi5bXevoSKtK4kNk3NZ0d55ng5WM73BBKl2di5nl6lvbOfhUBKWWjvVRq8rL3Fqt+NZUvH2v3Ii9iEsIwlojINn7JoLqfHViBb/C6tC6l4CTOThvue9pmbV2l14LizgpAYsoB6XJMXsv18N3Kxi8fY38XdxNl/MhZkZ/6/KfZlzRseEksUu6E/YWQYRYZR6IJR7QUM4+Qv77r73vvf+IY3FgwO8PKbvwfPr7D3mQc4dugxalWdNwvbsY9bYizK7sJ4R87YFKo1tSXFtNRyKj7/Of87SfrflJySHNxFvYmUMcpPePqQx8/9xiRPHwj4f9t77zjJrvJM+DnhpkqdprtnemJP1CSlURwFlLUCDRaWABubXRwEmA8MNiZZH3EXg7xLsIkmWCxisQEBQ5QlJJBQDkijNDOanPN0rK5wwznfH+ece8+tqlEwkkaw3/39qitX37r1nPc+7/Mm6eQ5t8kWNNTEIZZDSTtx77z1tsHWUR4kLZAg5Bg/eIv1lpYFt5KPjKpGU8pi1JQs01CmNMVMWDD0RPUUV/uhJEMqdcCHME2zVcYhIEFCiRULInzxfWO49hM9eHILAdyoRdojkJQhFCRPQVKY21mEMjtAGrgM0rqvr4lKyEp7HervRAnU7B9YixLZ9GZpNfq6AwAAPd9JREFUfwjMhIkYrzhhOS6+8BzU6w186O/flwf44GA3XKeAicMOWKMGz3XQCJWXmgiStnNTPwppAz1Jw/MZDbEzBXMtHlIqkgc3p0IXNAhrQWTgbs0vUTknMbgTY0oAX/5REY9t9JEw1gJsBW5KtGKSjh+RuTrLXBPQ1kQrG8T6MVigtlb98yHf6S+exnsskJvbKpSdRfmMVkwINL/W9Y3SOGUA0T1UiObkCaEApG6QKZEQltrMhEjwWOLkE0K89dVVvP+fOKoxURUfFh8HAEEZmkKXrJkmhKnLqffZ9E/JHQcCVfmT5bNI7Zgbh8akCguig0DWKpEqRTH1SaQ0MzSBZgREcYIzIgeFUg8Eaul/TQHOGQfj3tZKmW6rd4fzOcZRKRVRa7iIYoYkaWkEabTYFpBnUcz2AE57IpXIUxVL4+5kuSlTIDdAp0QpJvUEuOHHJdz0yyKa1E6icto0b4fINN873+ukA/dGi2W2Hs+deg3/7oDvXEDIWDArVG9hPJdJaAyJuWOrKrm6TQ1gY8UF1aCGflxnHEJbQpFGJTXQ9e0EEi6JcM2FNWzcxXDD2jKmIihnRYfYoR1NQRnCNASv91EvAEmlzkfJ0mqzMH5eKTELIC1pk2nul2XtpTauVtsSrbVHMVANCWIaorfsgHv+tsDztjabUWbdzY1PXv8pvO6ak7cx7vT/5O7R8zfvPIgV8wk4Y+BUwNXN4tPG7PbpO+WktoNpjbjOSX9555G36N3HtNwscyw5U5FKh8eYiiT+9WdF/MPXu3BozM2qc6zuVCAMjta7M83b7GPmPGe6t10nah6zJo0Z3s0y/k1IyzQ4kvVStzl4VkvYyrFJ7njadMh8fueSOSNjyrazDLGAYnRyQy0zbi5zPLirnODUZSEmaxTrt3OEkQa3lbMC6AQvZCQlx8lTCmet7tQY53lKa+5Z63jvREjECRDGylI3InXdjIF6SFAXwCVnjWDN+X3o7l/0ha07t35t9emnt1twAOjtctDX7d08Nt69RjZnnjQ63kRPRbUUhgQSQRFGHM2IIYxUtXZCSLqXuVO7VZlDaZ535+4bZYR0ttw2uJVSYtETX+DH/1HAJ75ewcExnUSVgjpTTajm3C6R2cjrVD3JrPexksdaU2TtSGUrmJ4D7X7WLV/s0CGML2TKDogkaSaeKWtTIx2pDvaoqRxCSAvQEkRouiIYEiIBUBDCETYlpnfFuO4vJjAySfHtm0vZgTC53doyP5MlN3EB2WK5zZgbpJZen7kodA8VaVl26A7HCuCNiCDUg2EB5Tv1FSVmV/owUO56bHe9dDMn9dyxZPadz/zzd7B0ybLdQ73y9Nn9ySm9lSZmTJtCT6WGrlIDBT9WOQOJSsk0ST/KQmhQ23JhWhRsKSPMttp2RY51oab0zAZ3lkDFWQzuJdi6j+OT36hg3cYA8FjeapsaS0pSy+0SWzWxUmNbrLetnFDbYqdAJ7nHzWOZtUY6quW5WPC2JvqW5c7mUGaLqL1zQd6KG4Nr2qTZljq19Kk1txanss2QEujqShD4Evc/7mB0jGqB27LA+rax5IBebMZ22681b8glleUtQdvLNcANFamFBEdqFAcmGUZrBBMNgnpC0eVJxFGA8anSz0cP7PrCu9/2Z7nP4GjZLlxdBEAhm9uA5CAe2yYhZAIQCUoo5vRHKAUUU3U3HZakv2q60HMOJck07SwaKfNc25YCick3sYM4QlltotNf3QTb9nN86EtduOMRHczpwLtBlI6fad5Wl6oW633MggYYXbuTYpK5QXlKkNVmPheD3prwnxZCAFautHEw0eJ0AkQQbUBNo05VkSM0ZVL3abYYRLbPCdH/BAxKAlcfSusSF5zSxMf+ahwf/FI3th8A4BhLjYyXC+N46nI6QeBp4iKIKX7QwRtKIEXmUxjLLnO548jVuxqfZ7xBQP0mVg1PwCUxJAgi6eDRjQVMyQCl2YN6wl9+awP40IIrQBgP775jH775s6O4/eEehAnTHkGCK8+p4w2vIGhGHM2I6uIGmVqMfPFCBmCuAa5oixVmJzYtMY/ZJWj5QI7jxNh5mOHD/1LBTbcVEFKdDGNATTsHdLglCuSoSYeK+Ry4LYuaBndaKUkuryKP02cDdg7Tsv06F9WUVidaSVLwS5l1ikqBLSWIpCBCdwTWiopKJZAtNIamtIXodvcxAN+J8NpL6kgkwQe/0IVdR6AOogai0jFJnq5oCVFCwtHHRVWkGYqinuOpUSfgUAoc0d/XOJmUqN7mUgI9XQKvvXQMV58zrgRDKRElwM8fGMOB6ixc8+rLwjiJ8JX//iwAJ850AF3vfWz3GUuf2By/IqANOGAQQlnmzVsK+GXBwbwZDgI3UQXJmm8RS/pjJE9Bcpa67X5icfMEdqTSBjfnMXYdYXj/57vwg9uLGtxWCN5Ig1S1C/ZIlmtitG6bf5sLIZ0tud1YxrbIrWpJq7W2F8Kx0a3fYIXnU2tODJizCUhpYbLU7Rakqp5J07W1dSfSFBEQnW+tgQ0NbqHyZWD6ExKqVCZhLU6iV04s4SDG6y+tgTPgA5/rwq4j1pcyBQ1GLaEUoVCdY4VU/QmV5c4UN26aBkmluKi+LBlHNy4d0dTR5UClSHH6TIaVs3pRmyqAsQRCUDRDgotP9lAaWHxnZWjme+Nm9dktOCHd+MnPbpuc29+16dKTi+fu2Ntkuw4lIAAKHkFfhaHRdDBRpSDlrE+JOf2loXjWwq9JPt2V6kVAme1g2mA3ud2ae/MEB8YYrvtiRYGbtQRxrGtCtFJC8nneWRkacmV1adcq21Kj/XYuDZbkaQs6grplJdjWuqOVt5wxIOdYKiqiAWANjDX0JXM+SVrSllXMGAsOba21NKhL1AAlE0KXuxPBYBJ241iCQ+Kai+uIE4L3fa4bB8b0rgrkza5QYwwjmPYXSqMXUrWbkNqCi1Qj19/XdCWQ0qK8ml46BOUig88dHDzMkUQuikEMQGLbXgfNpDc559zBTVPbfjV50qqL2gBOOxkXlZ8x/rbTT0qeiBCrEiEf6C4RlIscrkPVzorMO0lTOU2wJp2FY2bl2MlRImvM09J1iqYt1mLYnWATLvG1nxRx060lhJTpogU7kGPxbqKoiV0hz3KqST7PxO510mq9baDTVlDD5ucWTWkB9PPh4XaxQ67CPhfNtBUVSyNuae0mtRCQNghqzRk309uEyRk3fVXMhUNIDpEwsBh47WU1/MWaKnictOeQi8i6LRALoC6AuiBoCqLyyhOVW55eC9XqIRG6U5qZSSQySmOmXjcjYKxKMTLpYGLKASESnjeOTQfFE/sPT74tEZ2PckeAv/KKSzBarSYjzQXy6DiH5wC+R1HwGYo+g+eQtLuUHbzJ5sNbHaasOZQG2FnvEtOgPp8ZyNJ6ygicxSAO8Iv7AnznF0U0qc2znTZJkFPVuMexayytMLw9oThX0NCSQdjpdltIvlUWJHb79mwBHBPUx7hWt804dBNMIxbY2yt7slI2k4XX0gEr1w0rA3liD7dKmPU4SydIJEKB3E2A119aw8Vn10COBXJdMAEpIIREUwB1qYDeEFAynwa2KqQwxRQqKhnrQop0Xr1Q7dqakcRUnWCqxtAIKZohxWCfi1dfPEe6zmhy6ukXdjzGHMfYzjnrcjQa9e+s37Bz8QPrDhV9l6EYMBQCisCTcB0Jh+vpwekEs2yKmbmdZgESkdO8iVZYiNa7CckcSkoTpZg4MSgHfnpPgPd+rgsbdnha6zbW21hwlurdLslK0JjmeClFsfNNWgoMbO3bBGvaMgdTukJarLilqpBO4D82zFNHUkcKO1XvENlixSHbrHirLp69l4DonuIpD5cCZsQCETSVB0FUEyGlpJglxbKzUAKsGI7w6XeN4z0U+Pk9BbUquV6eWV6v5lMszV+JCRATde1ByX9ZW4ysk5aRORlVgI8SlVTVaCaY4qpcMvAZpnXHmIxn4/yTXg3GXQBven4Anzdnuvzqt374z9NnLn4bf+JQsVLkqJS4Hu0tUPAEfDeB66iLwxM4TgKHtXR0tQsTDL82VIYIkFRJUeAmJKMt1AF+fFeAv/+CDe7W3G4L3FTREoe2VMcT5Bv5HKPnCW0Bs50H3lrsYGCbqiikg0V/tq0l69QOcKTXHYI+pnFlKxcn9m0hs33Ui1KkPFwnZgnTrVudxVLHM90tDW4CxdGJRBxKLJ0T4/q3T4AS4Kd3FfJI0mkBaZZYooAuKEVTAzySqtjEkwrojga5coaydhLq9yKaIST6t1MUeaCHYunS+ePEKX0ezD+mYHVMgAPAKctXYHJyEvu2r0dXIUSlBBR9gcBPUPASBF4C34vhORrcPIbLs0nCtvSnwCstaVBbbWKst14AJAbjAoQDP75bgfupbZ4O5FiVOVZtZca7pXYqs1yTLFOw0yWbNtAG5megJKk+2+p4GnudywV/bjjPJEGS5oEb0Gd5KEZBMYUQUvuFiruahva2Jc8Ar4sgdAEEERrYulw+ERbQcwvEWrS6e1USKkv+D//PBCSAn92tQc5s0V4AJFG/j+l5QRgSSiEIEBGCSBJ4UsIz+j1MO8OsKCJ1uqVQYwJjiWZI4fvTsOrcZeOe3PtvxdLCYx7bZwT44OD0ZuBU3/qqCwe/NzmyudiMHACA5ybwXQPuOLXgnOfnv5se3ZRkVjsDtSmfygBPaQJCBcCBn9/n4wOf78L67R0sdwpymoLbo3bD+vaJDHZ+SafkKtuRbHssR1csq22BuE06tDXEZwK2uUE6WG7YllvPpLStOGu17iRlB8Lsg5YO03ZsLSEqIyMKZOm1gLbY5r5Qe0rA0++YhBIrh0Nc//YJCAHcfF+QWW6Loqh/mujfigGSQhKKhDA0iHI+mxQIWFasbBq7pvNBpcoFj+IEE1MC2xoShZ55UyMT5K2DM6c3nwnDzwjwcjAmBhfNe8gL5MQP1j5VnNcHVAoEnhvB9xL4TgTH0YDmWfNLM+ApoyRZUIeopndZTgSs55iAZAT/cb+P9/xTFzZstzi3nfpKMmrCaZYCy43FJplykmu236Jx565pBm5yzEv7xOZMGmzzOFvwnUd6OlnMoiYp6I3ltq7t5pT2HB8JmVpsYfr+6aCJyT8xDqtIQU2RaKua6t9E5AJBQsuJGbjN68yy5JAhsGxehP/5zglIEPziPh8JqNYtTeMT3TBHEgAm30CBXRI1rbkhGSKpgO5TwBMEoZAIKdBMgDABAp2PUilGWLY4xh9cec5E78DwQ9t3j3Vq5P3cAO4VBuC47pEte+U1ha7Vd4xPPuz0dyeolJooBSEcHqf0orU3YFrxzmJQqlY0aY1qWECnVDWR/OXDHv72MxU8vdNVJtl2KHPXJJdEZfNulgvHd6IoFjXpAHZb+6YdQZ0/dRP7YlMW8/xz4Co5iZCgzamEDXKhwt5m9IehLjCBHd2aAWnwx1hypJacgEJApHwcgoBQmrU8Jkg18vR7SQlojRwa7CSUWDY3wmf+Zhxvj4E7HvZ1yF8A0PTEHAypLyAZ8BmHpBwx5QrslMAlBG5CwIkEbwIek+gO1MXjEq+84LRo1rTmNQN9lSOiN3jG4/qMAA88D0cO7sJ5Jw/vHe6Lt21Y9/SSSnEfpnVPoBk1EfgJfFeN/AagAjYshuuofoBxkuBwVUlBKklIoL8kEXjq1xL6fYQCghL84kEP7/pUFzbt7GC5U6utLDchBC4FPCrT4mED5KwXS/ZYOgr8GIUMrXPWnyngY1vtHBWxUY0W7cS20pZz2eYdycxypxyGGIHCDIrNgiKmACJtnC9MizVksZjcLlBFDXU+CTFgg+bjKv/Q8itki+VW4XyzcAkAhDEWz47w+b8bxzs/Ddz+gIeEmti72hdI1UBqWkmkofhYMByucoSRknsld5AwB3VC0ZCAFAJFNwF3JfZOOohiYM6MbrjFE7dRd8nerdt2YeGCuf95gAOAwyl2brt3p+t3XztneM6v9+x+Co/uklh7l4/TFtXwmnPrmD+kNFhGBbgTYXRCYNMeise3BVh7p4+xKtMLRuDKcxs4Y2mIhXMiTO8T4Fw1jLn9QQ/v+lQFm3a7kMZyk84XQogar53Sksx6G4rSKZGqfXwhOoI6e30797Zx3EZdbCA/DzXF7lKsnEqSVbYgozPSAr+x0JBZ+2Gii3aNyiI0LyH6Q1JLLkz7NCUhwpIQjaUnWYqgXgy2JTefY8AuQTXIP/u34/jr/1XBLx/0IYQqCB7sS7BgTowzloZYc04Dvqd+h7FJih/eGeCxrR627PZxdNJHIiKVaiEFFs6cwtXnVXHSQoEf3FXB7v0uFi85GVO1+Nqbb7tn5+ozTnnWY/usAO/qmwWZTAK0tP+Bh5t3/e9bnzrvkacF6hHDrffVUavvwgf/rAaHEFAW4aGnCb6ytoxfPFjC/lEP6jRlbEmCu9YV0FuOcOGqOv7yqjrmz43x6AYHH/lyGZt2anBrK90R4FQ7lSQLx6cW26YoFhdvBXd6nRYYdOLeJF9Rj85Aty18Lv3U4OOZnEyZPW+ASyyrnXJvoiiIas6qLTY6SYcG+fpzdf2kseqizaqTzKoDGtXaghtwCxML1PECYRi9Tswiim8TyUDiBCfMjfDPfzeBD39ZYt0GB/PnJvjL10zholOb6C1JCMEgJYUZFXjJqZM4MFrFLQ95+OraMh7YWEQiXHhU4E2XjeOvX0Nx4EgPTphOsXu0gBnzF9x14onn7Z+crKO3u/CsAGfP+goAH/3YJ3DBxWtGGO+Z7AnI66aO7kC3zzA8k+PCU5pYMjuG70bYsAt452d78bO7elEVJcArgHgBiOsB3NVzQSTqDYkNj3MwBuw/yvCpbxaxZbcD6WhQU5p3KNNrBpbmdpvSM8uKp2H5rB1E2kLOqCdWlU7qWLY8R0wFfVrpbudwW1U71v1sbijJFgG1brdct2YsgmRZdOmiab22OL16LFN08lQqcw6y57NVaS/IVv0+0/bzi7j1fiaR5hvOQQL9fRKrlsWIBPCKs0K8YU0NngDCpotm00ejGaDR9NFseohiB8WA4PSlTSyd18D9T7o4NOaBOAH6Ki6KvA+jE13Ysouhe9pqLBxe8Hcjh3fePTRz+LlA99ktuNlWr5oNt9D1EMHY2g1b91119OB+nLaU48T5FYRRCEKb+O5tBdz3eDdQLoE5LjxK4FDTV0OimTAl6CcxFi4KcdkFDcweELjxx0E2DDT1sjXSrC6wJlJpFJOcWpJGKGUbYNuoSlpQ0C4Jpo4lzcDSRlNsRxLZtUnAskGYe76D9ZbIUxACi6YYtYRkciBgir9lxtFTSkIsjdHSwYVMFRTz17bgIr2l+LnpbGXSaBUn0mm2MBKNtuKEqckXUk/4kUqNSQDc+bCLHbsFzlnexMJBgTh20Ax9hJGHWKdgU5rACWOEoYOzV0zhdZdUseNbJTSYj8c3BiiDY+UCiSVL5mBw9ty1DSx9KGYjzxW2zx3gXnEQv3xw685yz0nvXDBnI1s6NLZm0awxBF4MAonNewhuursLCErwPQ8VDhS5amoJouSeo02OaoNj/swIH37zOK6+sA7PAf7w8gb++VsO6qnZsWmKTuekJG1zbFod8xTosp2WpBw74+R2YhVL6UkLF6e2hW2/jRzQW0aZ29bN3o5BUzpRlNT/tPFrgG8rLOY9QqWlCivlFJTkQZ0WDKv/J8yHGmut9XFCoD/HgFtYASHruwkVZZRSqhQAQkGhKvoBgVoM3HRLgLvX+XhYhys+eu0khnoo6o0AU/UAUcJAoPrnuE6EOOHgDPjDcxv43h0hNuwH6iHw2LYIlBUwa3jgJyeuXPlOYPMuQpY9Z4DT5/xKABedsQDDxUd3veE1y58cmu3ike2joLQGziP8+K4A2/ZUEAQe+j2gPxDoKwhMKwoMlBIMlQW6HYG5g3V85NpRXHNhE25CgFjijy6uY/FwpJwle0hSyr2JnsDQnkSVgTqbmtzaBoJ2eKxTEa+hGZ2eN6H6lJLYOjdpUVOMRSQdwN4B5Hazd5l7LEuwMtmCWY5KFqY3DSntKRDZfXRIuGoZZKXbMCeC5LMMEzvjUEU7E0H1jE5Ttkh1qwqqq3cINu3g+M5tAUApGtTB927vxoe+1oNdhykaoY8jYyWMjBUxOlHARDXA5FSAai3AeLWE4SGGq86bhCNiTBFgwfAouvqLcLpWPbn2P7Y8L3ADz8OCm61vRi+AoesPVjfN338kfP2R0f0I/Co27gtAeRH9vkRvIFHyJAJXwndUggyjBH29ApecFeHKMz1ETQZBIziiiSULIiyZH+OprUBsUGIB3ejdjgnFWxw7rXoneUmwtZg4n4NC2ihLK13Ja+IZ7259znBTGOv2jPmDzwJ2AMSy5FludLvFVpZYj+Ez7xNaKkwXmsrrkFTr4sJ2KkXmbBLo6Ge2SvNJWVTr6SLtP64KJ6QGuKm8UGVqT29zsGmLC7gOwDw0iYeb7ulFIZjC5acECJslMC7hOSqfKfA54oRBSoKCH2HxUBOFQogZRYZXnDSEFSuGv1MvnHh9Mdn1vI/p8wY4IcvxlRt/Mt6Uw39+xtK9M0uFA+c+song9of6MK1CMS2QqARqGoRqu0xQCBjKBY5ZgxInzevByDhBMagh8OtKO3eaalAoDP+2qAnRPbxtvZvkncn20jMd4GkDtqYVrfTE5tzEstItt1Pc5LissdQkA/lzsNytwLb5NzGWXC+utNxLP27oiIrLZLMm01NAro+JJbrT7IOJKrNJJRWSNvKBArcw9Wc2PVGrLzF8nEgkRM0DUgNplTMrJFSjIeoALIDr+Oj1gPVPc/DQwcwBjnIRKAYSRT9BGFPEsTqTMCpwyakhTls0id37itiyq3L3m986/8/3bL25Nnvhmhcf4ADw5jeuwY7tj9SkvDS8/75t+NwPe8CdIgaLAj2mYb5PUPAZCj5DqcDQXSboKSeIY4Zaw4PDI3VhNONJqRRgOZbQ+d2adzu0RRIkskMxQ4esQUsxyVEZmufmuf4kqWJiU5ZjaOMtSoR93YmEy5Zn7LwUiczpNP25AWnX5baBnOgAkIoIwSriJelUM3uUSKrcm4i62WNqpgirDzHVQGn8X+9zQqQufFaURRJFVbK8A/07Ug6fE3S5CVwmMV6N4Tqq/UgYUYSRGk8SxYbyAJQJ/PVV4/jpwwP4w6uvCB98hNTOXPX8wf2fBjgAuMUFSIR48IHdl5y958B9wdyuGD1FiVJAM3AHKoe8XCDoLgkUfJVGq6J1VCdBk+wXbdG+TUCHa2ritIA6m//T4lS2tGRgrbTEEmls3m3ATY8J7vwFFtDVb9qZnnQ05hrhpu98DtjIcGq5junb0tpeDViqq9kpzUCuJpmpd6RTzWhWEGG4kEnMSpdm6nQaamb6nYtUHze1nIIINXhWT1k2v2lWTK1kUqZjEHEC1JoSE1OKiCaCZWNIYoJIAz1OKJbO5bj0wuV1p3vug+lQ+5cS4EMDXRgZr1337v96sSQTe/9m6+bNfqXowPcpfJci8FT1T7EAVIoC5WKCoq9yxxnLsgk5F9i+i2PHHgciF9RRY7V9mundxqnktDWoY2UMtgLeupBOFp20APoZwd1JMrQek8gUzhylyYPcVk8MsA2Xb+PdOfBlVfXGshsQm2p2G+QsBbQVKgVgioUJDDVBFhFNAB2c1Jbb7A1Nd8y0nkh0O2Y1l1M5mhAU82bFmDcnwua9AtIRSCRHLJSlrjUAhwkQxOliSxKKKGZoRKqZ/eQUQP2ljZmFqz8r4f2/lJb/0wB/ToGeY23Xf/Lj8qyzzr2ru+Iy3xFnOyxklSKH62jLXZQoFyQqxQTlQoxSIULRj1DwQ/heCM9pwi82cOvDDr71kwpq8ADuAcwBpRQBU9llLpVwmM7zZraCkncy03TYNhrSEsyhJEdXco18niu4YaXRAkAbhbElxPx79cs7nhHMc/aWPidJ2/O2T5AV8mYvSgM8uRyZ9Jn2+6TTa6x9TlFunQU16NWxFqj0xHhsA8eTm/20hbUqI9THNV1u2YJNJEWtTlBvAOWuGWG5e+71I0eO/PdZc5fHvw1G/9MW3GyUxGFP9/RPlpdOhSNHxj+2Y6+gnsNQCoBKQaJcjBW4gwilIETgh/CcEA4P4boh4kjgFw8FmEwcPQGNgxCWJVIxo3mbPJN2cKcBHtJutdvATUgLpbHUE5oHaTvnbge3+eXtyGALPI957GzN2365nYwFbeWo5aio0Hv2EgrT3EdaYrXM+DeIdjCJziFRH2yDWDETihbOogI7lieg9tXcNynPFJQwJEIgSTgKPMalp9dx0x0hojhEyByMRxwOFfqYSUgIXbKmvjylFIyFODzpiOlzpn2sf9rAp/cfGgt/W3z+VhYcAL733e/gI9ddFS+a3zNSj/y3PvTYPjrYw9Fdlugqx+gqRSgXQ5SLIYpBEwW/Ad9rIPAaKBYbuPlBF5//bjfG6j7AfYC6cBhBgamGVQ6V+pLRFN4B3DkLboGZtT5GLYB3vJ0P0edpS14uVNjuVKuZt+z5kHxmKXPauXXJWXDSflMXdXX4NSzUd7Lk5pb9f2w6Zeme+V1oWbnWR+fPTgrwLhcYnBZh4w6Gzds5wAliwhGbvKQ0a1otPkoAzglm9sdYuOxkQUtz3rXvaG3fVVde+dvC87e34ABQrMzB0Jzy5n1He952xUXelw7ve4xWShF6KyEqxSbKhSYCv4nAa8J1mvC8Ony/iZ/dz/HhL/dg36ivclUoB6UUPjXcuwXcrEXvtnl3G+du6QFoO5St4LbzS57BasPi5ym4ze/dyYJ3cjpbrLO5bWTC9GHrcUOfhfUvlJ+oebnlUCvdWraMEFGWPCt/sIGr/y9FWqZm1BUprMx9LQww62yTncA0FydqbHgYOxjsSvCxt45DSoKf3ychPYFq4qMZO6jFFF2RRBgLxEJCygSMEsyYc4ZYfMLit4ny7M2idvSFgOYLA/A5c1dh3+4t4Wmrzvp6dWRvwRXdnwnYTgz0NtFTnkIhqKEZRmhGIQiLcOCQxE13FPDtW8p4ek8B0lG8m1AOjwIBk3CZArbLLMcyzfduV1BsXZuQ/P02atICbmqDvwPXThONjmGZYSwZMovWth2bqeTyUnILofX92iGl1nsIdFGDFs+VUqe0cSVQ5UGe7p8pZUuLJKz0Wr2AbLkxK4g22g5JByEY6x0TqYrIYweUCKyc28T/+usRnLKkiZvuKOHQhAfmughjH3snXIw2OAYiiTCKMHNGP2pN/u6TTjz96+s3bE2Wr1jxggCc/PYfkW2jIwfBeGHN2MEH/k84+t1yrb4bT+4EYiHwo7s9PLCBw+EEzZhgZISiGTNI7gDMB5gHjzGUuUTApKInTLWlsGlJmvraUrSQr9rJ9/LO9/bOwM2oZblpi0MJdKQh6Sm/Fdzpqb7D7U6LJHeaR/tjNq1B++tB2t+rfAOrvyLNZFNzpjNzk9rHyljJarrtte04Euu5rBeObhHCdVcFHsN1IrhOCIc34TgRHCdEGEscGaEIYwrGgQc2+Fh7VxGNxMXDm8qYVuzHdW+9fPJVF6/6k4nJ+k+Ghqa/YJh8QQE+NTWBQnAQUvS9MZ645bMf+9KtvV/9IUE1DNBIkEbShIwhRRPKsnCABaDMQYUBJS7hc2XBXTPQygCYymNWv6fJU9pSM2bxdGqmxGX8Or1NCAhVuS6E2mmneXDaSoL9UL4XSjt9QRuYSWewms8mSL8jWkDe6f8DrWkFCtg56tbSlzHtNJAbCJbdJnohpOWEFr82Na6mtztnIm0V4joK4J4TapCHoDQGQJAIB0nCVSCHEESxi4lajLUP9KMZ/NHIf/uD1e/adah649JZRXR3d71gmHxBKIrZisUKAGBycuRGv3Qlnzvce/1FJ93VPzE1ikf2EoiQg1FgtM5Qr0aAjFTlAlF9Mnwm4Wlge0zC4WZQlNV5Cs9y3UpNKMksdyu4c3Jh5iAawBwrcJMCOwdO0mZtOzmIrZtsfc4qVyOwStes19t3zGsMsCnRKonV/DLlN/o6geLpJrswq8InWlLPCpkJyVIGCJFpe4qESnA9Stx8tOmcwCgDY1T9pq6AlBQjEwWMTZbAqEAzDrF+ay/K5QH8yZrVh4sD575PiujGs1cMvZBwBPACA9xs5XIvJifGb/jjV6+mQ6XRT2zafGv/aBMIq0X0lgmYH6MUTODIRISHt/agGlP4TAHc5aqw1OVI6UkamUSeq2ZODtBKFXIXo4rkgG6P2LY0bQ1w88EpvjpxYmTghr0vtpVGO7jtivqUWxtQk7xj2bbJ3FXuGBCZzbiR1CpY1q9M2yanHWj1YFliYj35/HMQVQJH0v+ZneEoVTPlGcu4OADdjDUBIRS1psS9GxgOjRVQYD3wWAW9lSYmGkdx+yMSrzj7pMNd0y/+gBDihmK558WA4m8vEx5r+8QnPok/fe25j5aK/PC9T46dv3NnI1g05GHZPAeXn5HgLa8ew/yZk7h7XRGjtQK6PKDoSviOhM9hgRxwmJq0zKwKGWpZy4yy5LMEmUVN0msGMEr1Y2agqLpPmZlpSXMTGTILbdERwKIPpI2GwNqvnCVvj9K0UZQc97axTfLV98e8ALlwua3r2Wcb22i0RWit95p0WpUyS3LXCtzZ/zC8v+BHODoR4oNf78ENP5+JsbESkshDLFz0lhPMnds7MhkOv+ep9dtvOOO0lS8WDF8cC262Zae8Cn/23q9/06HD4SVn9Xy5y9lTHuhL0FWkoMRH0Z8CZwQuJQg09/Y54DuKnjgs07GNZcvym7VKkIa2LY7cYr1T8FuUhDHLgluPkxZaosCSVdMYPiBTXa/detsOYPZk+/GRrRYbSAvR216r/3QEsURuYaQxHamaTWW5ADIHaEGy17f9M5LtY76JZyZpUgrFwa1JH5RKcMqRJCrPZKrhAbGHajXB07saODBC0dWzcvKy8/k7iqWd/04q73oxIfjiAhwArjyzW4RJ4TvdhUI8NRV+844Ht3mrl5XQDIFNe12Mhj7KHlB0JHxHgdt3AZcTFZZnGWUwU7eiOA869YPLLAxufk8gbYlsh/Ft600Z0fWXJtEq+4ys+EDPhhfyWb5tS4VPR70QyJgxsSxt+hG5mznZ3GTDSqRRwLTNTOpwqnF8lCDLjjXHgwAJIaA6Mmq3abb3zlZ0QJQeniSq/XGckLTdh+oorB5LBEkVdkolpho+PKeJ4ZkhtuxJ0FMGViweRRNLG5PR0F8+ta33+0fH6s/YtOeF2F50gF999dU4Mno0KRb8e7fv3D/51La1CJytXj1q4vZHKmjWAswoCxRcUyAB+C6B6xC4HODawgIK3GGkrmWiWnzZiUvE+qFsNSQboa0ujOmLoSq5cYDZ59lnDOjJZmYxaSy0ATKjLnnVJUuFlcjeroFOSC7Q80zOaVZFL3Vzedh8RH1fqhdtOnHVdoQlEgJQPVMnfzbQMqA1IlxKVUAhBNAMKcKIIhaZJMmZMkZ2f27TOLO/O8LFJzdx17oaxqYKWDRvRcMvD/zpD++vrB2pHU3+5i1veLHh9+IDHAAK5V74DPsrffNXXnLW4HkF5+g3vv2rI4VHN/ZgTjdQ8gRcDgVuj8B3CTxdCcS5mrVDoIA9VRdohAniWM1okVDWijOA6lHQ5oe2E4JMgMhQE0ap4vWMpFPW7ECRiRwmiUqwk1I5aQYwmSOYnTkyatQe7EkVEYE231FKCapBbofJWyVCe2aPEBJJoi6mOFktZtWRVVACpqtsJNP7lWSvETSb+ZOuD0NZmNTKVdqGHo2QodGkqDYoksRIs4pKRo624IY+CSCOKeKY45QFk7jm/AmMNU/ARDz/2teuOfUHM/vWyVXnvPjgBl4qgKshPsmO9d84cM6Fj33vG/++hB8ZL3xpQd/hLk4TRLHih66jwF3wKDyXwnMZHG6AqD7L4TEOjAiM1TL924xQoSQPnnzgR9MRbcE5V44rZ0oz5yyfZqsy3NQUshD6bAFDV6S2ihkaUzeL5GlKCk79JwVUS4KVgAJ5G283n6VDmAZESSIRxQJJkllxU63EiPqOktH0g1JHPFHfiRlfxsrPNVaZUZn2e2dMAL6ayjA6yTExpRIGKAUcTuBwwHcBofuMGwPRDDkOj3pwnQKuWN11ZM4JrxodmLFsx5HxUK46Z/5LATsALxHAzTZv2Zvw6X/5KmZ2z/63S1dPdyZX1j69fsOGvu17jmBkgqLoAb5LUQw4Ap/BcylcRw0i8hzV8s11IxysTuGRPQEqHkPJEfCdzELb4DGnZTtyqSy2WjQOUzOsFNc3U5qR4/xRDCSSQEYKVHEiUweTQuXUEZLGzXM/cqv1TWR221hPS3/QlpjoYAjSRWtSTHWnBkTQUw9CgTjWCw7aejP1PbkuOJZpHreVOKaddKGlROgmFUb+Y0zA4Qk8J0bgRSgEU9iwu4DHt/bApRS+p86uDqdwHFWVEycAIRSuq/pUHjhKEMkBzB1ecpS5wbvf9Jr/+s1frnuYcOa+lJB7aQEOAH/7lmsBAIcPj36TMoevOGHaJ2+986f9P7wtQm+ZoxQwVEocBZ8oZ9ORcB2BwJOoFGPMGaxiYOAQ7t7ch0MTPaBFmQaDzJSEdMslUdkcXIOaQ6k16aQKgHGV92LaCDcjVW0+VRMII4EkEao7iClIoiogoiBq55VrBceAW9iOa8afM10ZqjMVrMf0GYrqaC6g7ocxQRRJ1BoJolim+SCMEvCEgHHDrYVeQDRd6Ak11tuiPOnhUtFKRiUcJuB5EXoqNYxOTeDG23wcPiwxty9GuUDguxSuQ+BwiqarChYIISgXCDy3hl2jFZx6yurDl1xy5vvDKP7mvU/8Bj4jEi/x9pID3Gz9/T2Qcuxfe08/g4zU65+44zf39gduDb1dHL0V1cfQ4RKcq/TLwE9QKYYoBiFmsARFXsfBsIKGTxAkEglTp1uhJbJcVJMipSdca+oG3C63xrGkFzXXkzFl/8KY4tAYQRIlCkiau3NprH3mUGZni8zySij+KyQgYyBOpF4ohhZk7yeSpDWqJuUgO8OoiG7BFzhwNMbBUZEVfOjXOUwq2Y7rKdTmbEYAQimYGfhEs+NlF/qk+So8gctjBF4ThyZjHBx1MdUgGK+pN0Sx8psYE3AYQb2RIE44Akdg7qwKLrjgFYfnDp/9gV2H5b/OG+o+XjA7fgBXB70b2/c1vj5v+OL4zW8of2b3lvt7eotHMa07hMMlpuochCit1XMEAk/lOkw2BWQikAiBSHLVLB0aQGlY0OR0EJ0XrkGpqYnDMnC7jo6gugKuI+A5CTw3QeBHKPp1PL6b4dFtXZhZEQh84wATEE5BBVGtsK0Fxaj6fMbMmYAgpqa5u0AYJUgSo6AATHNlpYCo1xMgzSlxuITnSHiuRMFPMNg7iacPxNi6vogul6DgSniaygluzb4BYCocTBQ3oQQJNeqQ/ToAloJiJlSridNqBmo9JmiEahElQqKp/aJqg4Izgf4ugWl9Axicc/bo8OKT30NZ/L8JqRxPiB1fgAPA8JCPJI5uHOo9beSR0pEFfV0D/7h+/a+cyVEP07pK6CpGaasESlUNp8MTfTonadtgaQvKlpqR49+GnhhaosHtuapHhz25ouCF6O2qY3xqAretq2DvCFDmWWaHybzjMlO1zf9S9EcpDGYanZEbRyKBqVqiioqp0vmlVAW9lEjV90TmKQpngOeqFgtdpRBD02q4+PRx3PYIw97xIgaKEgXdh0bJetIK/ujOU9p5jBnA9Oi+bCwhaTl2Ur9XLxEhIeMEsZB68gJQravjXikQ9PdHGKtGWLL83KirL3jvtKHTt8ZJ8DOPH3d4HX+AAwDjjoiqT/3k3Asvcnds3VCbAPnihh0byRVnTlLKj+KeJ7uxYLCAckFlp03WBZqJo5xFIrMfwvrMjMdm3DulJjqRy1hw04DG9xIEboTAj1AqNFAuVLH9cBNbD7iIJEEjJvBiwIm1cyqsGTjIqzrmzKAsr0AxSBB4MdZtIRgdJyj6Ei5XZwLpUJghAMwKaxqAG+rkugk8NwZlEgsGI3RXJrD5YADOGSRE5rxa2VpqMeokKELAGEOizyZC5g2DNhnqju58FSUcnFIUCk1Eo+qzeysSc4ZquG8jwUS9iP9yTlEsW7FcsmDJ253Sym+s27g/vOCsxccbVgBeJgAHAKe0HHc9sD4sFmfeGILccfn5yWtdZ9P/+O6t45iqFjHUTbUuG+Kn93jYd6iEUonAZ4qH2gNU0yAPNad5rZ6Y3BYNbkd3VzKUxHdjBLooulRoQJIafvGgi/0HAkzr0nMcE5nOcZTSspTmTKHPEC6X8F2JgpegGMSYMa0G7k1i93gZo0cLGOqRKHqmekdo51c5n5kuraiB4cVmZGMYEcyeTnDFGeN4alsZI/UyeE6elJkmTlQ+N42pmsIRE3BG03QHIVuUJy3rCEkQxxzVmoeZ/XWsOWcSW77Xh0Ry+C7Dklkl9PWOYsO+ISTuvA9deMbw92LevzuOdoSlnhcvt+T5bi8bgAPAeWcuA4D6gS3/tmlwwbxPfvEG13X8oeumu4dZ4FVRKtSwZV+Eb90xDa7vo8+T8JlMJTQh0mEC2nJZQR1KUmeNa3riOZpzu4qeeG6k5w81EXh1bNwd41u390FyDk4zDTub72grEIYKqWG4ZvEEfoJiIUJXqY7xZhW1yMPIVBEV3wRljNUXOnnJSIhWbnqap61btgmCOHLwhosnsPaeCTy6PcB4yHVRiNRnLZklVZn9SkxwSC3WROvg5qSR1bcaBYlDygAOj/H6C8bx4/vGceBgLyamJMaqRVxw5rzkoqD74+f+yXmfrCZPJh9654XHG0Jt28sK4GabvvCP8fHPfT+57h1v+vChwyN88/p7382av/Ye2dLE9+8p4Oh4F2Z1AdNLArEERmpqai6nyPJFUquqQtaM2dYbcLkCt5rzqabFeU6sQR7CdRvYP0Kw+2iAIKBgWfFXHtj2/2rh4K7m9YEXwXdDcBqBCIF6TFCLCLxIZ0xyHTEVMgNcy/8wmR6GM4cRx4weYGZvDes211GNy/AiAk6I1R8mP8qF6eqdOJFZE86WRCmHJfA8NW1+rBroqcfAjGlNvH3NIfzoXgYZz8XCpac3Tz7zvE9Vuno/vGfztzFr0UsTmXy+28sS4ABw3TuuRrVaRdGLrus+8zy6e8/A2Z9du5buOFg9m4oqHygxDM9g6KoIPLSzia17XXCquC1gVfFYsiA3XDYFt6YnjuK26hLCc5sYmYpww81dgHS1jt4i4drhbeTL5LgutXMc5RC7PAHnMShNAJkgTCSaiQoihbGEq6mPnV+iIp8Eec9CbUISJAkF4OAvrqjh4adqOND0MUkduKbAQ1vjXEUPk+CJQJJQTbWyTrPqmEl4boJycQqb9xI8sakLPUUXiZDoKR/GuSf2x0uGe+9j3VeJ+XMX3TcxJa6bnKyiXC4db7gcc3vZAhwASqX0wH3gNw/+G65/16nlRzZOfuXrP9z9ul5epYtmxrjw9CZO2XcYH/12L2pRMa2vpZZezbQ06HIdOHKF5t4WNXG05eYRPLeJO9cx3PdEEZRzONoa2nki9panAhlNUUAX6WBcqscmZrPaSUoZFLjtLEGShvftLZuHSRHFHGed2MCqFVXcfH8RdcYxGZH2Po2EZABnSuePE9UqLRZIc7sBwPciTDYa+NotZWzbRnD+sgSFoAsnLF4utu894abdR/rfXBzbOnnmqtOONzye0/ayBri9rTrjj3H/us2T8xZ573jbnx7Ysn/HkyuG+o5cFceP4qylIU6YE2HrNpnmeqtcEwrOqKYmyqoa6+25ttXW1MRR1luSEPevDzA27oGUGLgBS5r9BytPxO5EKzOryaRy6pgAZQKUJFCZVhKJlArcwhp+qhOopJA5h9ne1EOmr7eKHnZ3EaxeVsdt99fRiB1UqQce2zSFpBbc+CBRLOBoKx7HBHEsdRqs+j+bdjPc/XiAbr8Jp7IAXmXa2uK0JU9euqz/n2QznKT+8uMNh+e8/c4AHADOOnkRABxpVnd90L1o4dxHH3sKB/f1XAV6Nwo8RsAT+C6FxwlcrnMleBaSd7Vk56eat5ot5Gta4jpNeE4DB8cEbn2wgMRhLW0k8pU2WWqs3YslK+BVY8xV0MRoy4AJ3ZN0qq+QeeudRmRhadUwkUmdIQg1UUGEDJed0cAX1taxd8RBSCkm4IIS1QM8N+89UgCPY4k4FohjijCG6vAaUTRCjuoUx9ExisHuCv7qj07CimUL1g70rHjXnpHJnd2Dc443BJ739jsFcLN5pTm457GxnWCnvMet9N7YN2f4natP2Xo+CbdARpPwXA++p5K1mFZPUnC7Ar6nkoh83SPR95rwvQaKhRpYsYEbvlPEhq0epGtnS2U3s+r49j6E+ZbNWUSQUGOSBaRUARMTNMnAra+1FJRycaswwo5nqQAYxbIFMf78ign8w7+4SAKCZgCMwwHMzB1ko80dXfeaCB2NDFXOvesQsKqE7/dj5fLT8cF5y3696oTyP82dP/txoLGTkN89cAO/owAHgHNO6gaALXEitzC67Mn5c9mME5eu+Jcnnnx64VPrn2S9FYASgUak6iuVLp1p3cWgicBTljvw6igWa7j9EYLfbCnh/9xSQBgD4O0OXqdWD3krnsl6BtjEWPB0k4jTdFVlwaW25KagwuQa2iNO7Ao1tS8qgONygT+9bAoiBB7eEuCWh3vR8IsQcJFICiFMtbt2sh11xuAMmKrHqNWB/h6G+YtOTYZmLd5CSPiW1QvP3w9g07Gqkn5Xtt9ZgKdfQKXZbTp4+OimJE4udxx/5iUXnnbTri13Vu56eHexVo0x0MNQKsQo+DE8L0EpaKK7VIXnhmAsRuA38PMHOD78lX5s3c0xf24Vq0+ZwuM7KKpxgESqFM8s59vi4bDrP+1mOTKdQkE1yFVPbnWJTb65tErQhFXZ3lJ7KYVq0aBhD0oEXJ6g1ozx0GYPlYLA+/+8gS27I3hfE/jxAwRNEFRjimaser+4TDdNIgLFQKKrmGBoOsVkNHvq/EsumCgG0TVdPXP2UsJ2/q4DO8XH8d6BF2ob7O9DFMmdM6b3706iqeVSJmetmS6+emDfjljWt/QO9W0u15uASCgCfxL3Pd3A1j0O3rImwh3rOD70tQFsO9QHVhB43xsncf6pU7hhbYyPfquIWDjqn9gFCKnlJvZTue5QlIrsko4OVkhOBBCbaKKw6yyzMklp05aW70uJgMOb+J/fLuOGH/bjrFMb+Pw7QszqBT76Z1VUm1O48ykff7nmEDbvYXh4Qy/6ChShlDg8RXHCgv7JlScvGVm5fJjXmri23Dt8/+C00jggBfktGs6/3Lbfn28CwHEICCFi666J0WJ56JZKuWvx//j0nQteteaqj/fMOPGp7YdmrQPrbjy2o4jrvzWEJ56eiYNHevHEthJ2HS1jYT/FRUsdkHAWkqnpuPx0gsVzakhUc6Y0t4WRLMoIoB34lqLCqACnCSgTABOmgldLhcbJzAM7VwhsCo3TinblYDpcYONuih89MA2R0w0aT8fd6+Zhx95+DHQXsHguMKPEcdLMHrz3aomLVyUYHOhuvPK8Gev+4JUnP/W617/u47s33LygWKwsXjg885be4uQoIeT3CtzA75EFt7clC4cAFbWvNaubQZnzj4TSfzz3zKWsXCl+cduD1cUXnXbo3Dk9I2xkkiCRo+gvCMzrk1g45GGq5uLAkQSzZ0xhzVl1fOH7JBtTaOWYm+IFwAa7TBOnuKmMcUNw3oSAAEUCiCbC2EMzYYgtgKe1ni1ypNR9SIxeLRIChxP87L4Aew4UsbAPKLkMm3f5uhdEFZxwzO5zsH1/H05YtCL5+zf33f3Qxv5NzcbU2xrxROL7Ps644jrZ0z9cO96/14u5/V4C3N680iIgs4fx0ZGxN7/mlW5P/RUj/7Bl/a9cKuLEL/Sdeu4phVXDPaPwnCkcHXMxVuUoTXJ17ZvKHBURdR2V42KoBZAvEDZUhbMEgR9iqtnAD37k4cBRikvPn8KyZQl+ei/FZNiFHs/O6FMoNxX2JsQeJwSNkMD3qGqRTCim6gEqhRhdhRhljyNwgV0HqpAoY/bs5Vg6P/zN/kP0kYHp89j85ZeFM2ZM+/vFS5qjgW6v9+7j/cO8RNvvPcBbt77ebgAYBfBXAHDjTXegt5+cf8X06LKlc8avqTfGlmzbxRCJp7Fl/xQeegpYOTOE48U4PMbAuYuBXgdHxgWqEzH6maIrppbTdH0CkXCcBEI28MUf+fjsv/dj+RyBL1x3GMvn1DE8eAifvslHI3FzNZimoFhCSZvTuiNMVAUOjrgoBgRAHRt3CLi8iNMW13DKIgdFUsZ5q0/AWJ3A98tP9w9Vbvqjpbj1dVfg1/1zLsE73368j/rx2/6vA3jr9sZrLgCAX8vk0K8B3NVoNhf0DtbE5sf3CfAVw1dfPuv9vc5+uMUY37/1ADhpYOFMgaAwgjsfKaJcKMDhAqVABVEaTQrPocraswSPbRP411uno1yuYOaAxO6dBQyVJvDGi0fwq3UT2LxzGgghcF0Cz6FohBJxEsP3KDyHoLdrBA9vrGH3/gH0loDZQwVMilmgzRJOH+7Geacd+eSObfXtZ565mvKgRAF3K4Bb+mZOO96H9mWx/V8PcLMRNgAAt5j7Bw8chud53cML9t93YO9TcP0o+uM/WP43fRV+6fyZMcBGsGH/RnhuhP5eF/Nm1vH0HmDXPoJFQwlm9IWI4xDfv9ODDD3M6WkioBzjEw627gkwNK2EK86YxPqtFTSaEi53sGQex+FJgU27KLq7HLguQanciyUnXo6TTu3CwlkMg33NXxxsVD9DZNHhpWX4qzfN+HUcNscq3X3H+xC+LLf/H+DH2Aan9wPAGIAfA8CuPfsxvAAbORWDpUAIwSZRKe+HK8dRCDgqJYKJej1aufL8j/RXqldOHxqNXCfBvGGCawcKWDAjxtEJF0NzJPZUJbxKglOWTeLKV3TDocDKeb6zbGHlp7+8946PRKLsAByUAq7XhaUnnI7BHh+lgNDApwcvGsT27p4Zx/sQ/U5svx9q/stku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'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 2690166
{'hecke_orbit_code': 67109314, 'n': 1, 'trace_an': 1}
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id: 2690167
{'hecke_orbit_code': 67109314, 'n': 2, 'trace_an': -2}
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id: 2690168
{'hecke_orbit_code': 67109314, 'n': 3, 'trace_an': 0}
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id: 2690169
{'hecke_orbit_code': 67109314, 'n': 4, 'trace_an': 4}
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id: 2690170
{'hecke_orbit_code': 67109314, 'n': 5, 'trace_an': 0}
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id: 2690171
{'hecke_orbit_code': 67109314, 'n': 6, 'trace_an': 0}
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id: 2690172
{'hecke_orbit_code': 67109314, 'n': 7, 'trace_an': -34}
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id: 2690173
{'hecke_orbit_code': 67109314, 'n': 8, 'trace_an': -8}
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id: 2690174
{'hecke_orbit_code': 67109314, 'n': 9, 'trace_an': 0}
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id: 2690175
{'hecke_orbit_code': 67109314, 'n': 10, 'trace_an': 0}
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id: 2690176
{'hecke_orbit_code': 67109314, 'n': 11, 'trace_an': -27}
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id: 2690177
{'hecke_orbit_code': 67109314, 'n': 12, 'trace_an': 0}
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id: 2690178
{'hecke_orbit_code': 67109314, 'n': 13, 'trace_an': -28}
-
id: 2690179
{'hecke_orbit_code': 67109314, 'n': 14, 'trace_an': 68}
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id: 2690404
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id: 2690414
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id: 2690423
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