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{'Nk2': 34496, 'analytic_conductor': 68.8629867031522, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, 1], [11, 1]], 'atkin_lehner_string': '+++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8624, 1, [5391, 6469, 7745, 3137], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [-2, 0, 1]], [5, [-2, 0, 1]], [13, [0, 1]], [17, [-32, 0, 1]]], 'hecke_orbit': 43, 'hecke_orbit_code': 189151184383123888, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0]], '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': '8624.2.a.bq', 'level': 8624, '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, 7, 11], 'level_radical': 154, 'minimal_twist': '4312.2.a.s', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{3}-\\beta q^{5}-q^{9}-q^{11}-2q^{15}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8624.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 705445084093585989, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.986', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
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'8624.2.a.bq', 'level': 8624, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [20, 32, 30, 21, 24, 24, 27, 27], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [137, 136, 138, 135, 144, 132, 129, 141], 'Nk2': 34496, 'analytic_conductor': 68.8629867031522, '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': [8624, 1, [5391, 6469, 7745, 3137], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1297, 'dim': 205, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13, 17], 'hecke_orbit_code': 33563056, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 8, 10, 12], 'label': '8624.2.a', 'level': 8624, '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, 7, 11], 'level_radical': 154, 'mf_dim': 1392, 'mf_new_dim': 205, 'num_forms': 85, 'plus_dim': 92, 'prim_orbit_index': 1, 'relative_dim': 205, 'sturm_bound': 2688, 'trace_bound': 37, 'trace_display': [0, -2, -2, 0], 'traces': [205, 0, -2, 0, -2, 0, 0, 0, 205, 0, 3, 0, -2, 0, 2, 0, 2, 0, -12, 0, 0, 0, -6, 0, 207, 0, -14, 0, 6, 0, -18, 0, 0, 0, 0, 0, -10, 0, -16, 0, 2, 0, -16, 0, -2, 0, 28, 0, 0, 0, 12, 0, -2, 0, 4, 0, 8, 0, -22, 0, 6, 0, 0, 0, 28, 0, 14, 0, 24, 0, 6, 0, 2, 0, -72, 0, 0, 0, -36, 0, 213, 0, 32, 0, 4, 0, -40, 0, -2, 0, 0, 0, 24, 0, -48, 0, -10, 0, 9, 0, 22, 0, 36, 0, 0, 0, -32, 0, 6, 0, 14, 0, 30, 0, 30, 0, 14, 0, 0, 0, 205, 0, -8, 0, -36, 0, -8, 0, 8, 0, 0, 0, 0, 0, 14, 0, 30, 0, -40, 0, 56, 0, 10, 0, 36, 0, 0, 0, -42, 0, 84, 0, 58, 0, 54, 0, -10, 0, 44, 0, 0, 0, 204, 0, 0, 0, 32, 0, 219, 0, -28, 0, -10, 0, 0, 0, 68, 0, 38, 0, 38, 0, 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0, 56, 0, 38, 0, 138, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1398676
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '8624.2.a.bq', 'source_level': 8624, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': True, 'target_label': '4312.2.a.s', 'target_level': 4312, 'twist_class_label': '4312.2.a.s', 'twist_class_level': 4312, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1398677
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '8624.2.a.bq', 'source_level': 8624, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': True, 'target_label': '4312.2.a.s', 'target_level': 4312, 'twist_class_label': '4312.2.a.s', 'twist_class_level': 4312, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1398678
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '8624.2.a.bq', 'source_level': 8624, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '8624.2.a.bq', 'target_level': 8624, 'twist_class_label': '4312.2.a.s', 'twist_class_level': 4312, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1398679
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '8624.2.a.bq', 'source_level': 8624, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '8624.2.a.bq', 'target_level': 8624, 'twist_class_label': '4312.2.a.s', 'twist_class_level': 4312, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4790350
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 189151184383123888, 'p': 2}
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id: 4790351
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 189151184383123888, 'p': 3}
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id: 4790352
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 189151184383123888, 'p': 5}
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id: 4790353
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 189151184383123888, 'p': 7}
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id: 4790354
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 189151184383123888, 'p': 11}
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id: 4790355
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 189151184383123888, 'p': 13}
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id: 4790356
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 189151184383123888, 'p': 17}
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id: 4790357
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 189151184383123888, 'p': 19}
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id: 4790358
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 189151184383123888, 'p': 23}
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id: 4790359
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 189151184383123888, 'p': 29}
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id: 4790360
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 189151184383123888, 'p': 31}
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id: 4790361
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 189151184383123888, 'p': 37}
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id: 4790362
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 189151184383123888, 'p': 41}
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id: 4790363
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 189151184383123888, 'p': 43}
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id: 4790364
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 189151184383123888, 'p': 47}
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id: 4790365
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 189151184383123888, 'p': 53}
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id: 4790366
{'charpoly_factorization': [[[-98, 0, 1], 1]], 'hecke_orbit_code': 189151184383123888, 'p': 59}
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id: 4790367
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 189151184383123888, 'p': 61}
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id: 4790368
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 189151184383123888, 'p': 67}
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id: 4790369
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 189151184383123888, 'p': 71}
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id: 4790370
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 189151184383123888, 'p': 73}
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id: 4790371
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 189151184383123888, 'p': 79}
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id: 4790372
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 189151184383123888, 'p': 83}
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id: 4790373
{'charpoly_factorization': [[[-338, 0, 1], 1]], 'hecke_orbit_code': 189151184383123888, 'p': 89}
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id: 4790374
{'charpoly_factorization': [[[-98, 0, 1], 1]], 'hecke_orbit_code': 189151184383123888, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 43, 'label': '8624.2.a.bq', 'level': 8624, 'portrait': 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BKfxY5kMPLwtUBYw+yUYf1kwlInoDMQDGOP5b5g06RhsW04eUFR83w2zcC22ZCN64ZsWDdi07oR2zZaLtqkuHy7R101OXZygq896/P4wZinT0QkqstbX9XmtldY6modB09Mceys5sxcwvkU3IcXLNdfOc8vvXuZ7esnOTs3xdxyjcW2x1JbstxN6PYSekPBweMLHDzVvvypg3O3HD19fufxM3N33fT67w7v//wnXmxIfFO3v9MMvrTcZhhatOLX7n/i6Ct+4bc/Kb/n5kOv+Ge3ndHzyxtZak+w2G6w2PZZbGsW27DUTlhqRyyuJJxfgSOLgtn1K/zbH1rkhj0NTl2Y4exck7MLmguLlvMLMafnE+a6MVMzQ155dY+XXwa+rBOogAtLNc4taM4vCfojiGNDzTc0awnTkzEGOHE+ptODHRs9mvUR1goQPr2B4aJNIxZXNFgnRVZ6MIrBYllqh2zd4NEdKISyCDNiouZx0eYhK33BibOaxGjWTUhaNUHgQRwL+iPJ+SXJuUXLheWYIBiCF3PTFT1ecaVgdqLO4vIEpy4EnF2ACwsxF5ZizizBkUXLy65Y4Fd+aJlNUxOcPD/D+cU688s+C23J0krCcidiuZOw1DUsdCWnOrCy1OG9/2wU/6M3NB7w1/+48RuXPyAxv5DgEdQmXmyovODt7yyDf+iPP8krbrqOf/HP//mv/tknv/TP3v9nX7hk38n2zsNn+vKVV/W4eEtCYjTWKqx17I2VgAQEQli0sPgSzi7Wefiw5OrdS1y2fUijBp6W+J7C9zXNuqThSfo9jwPHa9zzuM+JuRGdOOLAqREb1y3xtlcuc/UlXV52WZvjCzELfUEjGHL0rKXdaXLVxZKVYcK+44pWQ/PcCbh0i2UYJgwTH60jpluw/1SA0gmejNEeDEaSGy7rM+hLrr4koTNIOHG2xa5NimYjZGVk2TDVZ7nX4eNfgiePJTx9bMiOLYtcs7fD9EzIW27q8t2vtuze1CKJpjh2ZpIjpz1OnTecnos4PZdwZE5wciXiJXvm+bc/1GXj1BSnzs9wYbHB/IrPYluy3E5odyNWegnLPctST3Chr1juxFx/2QI//fZ5WdfsnLtwYtdgEN8YTFxcrzemv/D41z7NH7z/z19syKx5+zvJ4H/2sb/imsu3qvsePvyvj544/4tPPHNcnVsKWRgqzvUtV++4wHt/cp5rdze4sDjNYrvBUrvGUttjqaNZ7sJyO2G5E7PUjVlow6llga4PufnKJb731SG7NjRZ6U0wt1RnfslnoS1YajuJsNw1dAaGzsjSH8asm4i4aKMBBIFnOT3nIWTAjg2KXVssWzb0ubA84qlDLV56qaVRX+bZwzO0miFh6LFu2jAYwuUXDfnol6bYuz1mNLKsn5REyYBWLeC540PqXpNr98Q8fTTkwqLP1nUBuzbDRZtClIo4vQC+ZxHCsmNjzHRL0h0E9Poenb7HUkextAKLbcNSO2GhnXC+DYvDhIu29vjeWxe4+TJNzZvg3MIEC8s1FlY0Sx3Bctuw0o1Y7ias9CyLPTjfVVxYiblh73l+8ycXuXRrk8X2BMudGr3BJKq+O/Hrm341kpf+ijKnk1e95h++2NBZdfs7BfCDBw9Sr9XqZ86cvujxJ59717ETZ/79gcOnGYSS3hBWBo5RznZjXnbxef7TTy5xzcV15panWVxpsNypsdTxWO5oljvQ7hpWujHL3ZiljuVCW3C2Z0H0uO1Vbd5yg+HizTXCsMFyu8ZKz6fdVSz3BN2+YDiyhLElSUBJS+BBPbBMTVg2zERob8iRcyHPHA4wcZM33RiivRUe2zfJzs3wuYdjXnVVwFx7QE0r4iRiZhriyEN7MYuLDV55XYfPPdhi12Z49NAIjwZvvMEQiwHPHEk4drqGlj4bpzXTTUE9EPi+QAmIDYSRZRhCt29Z6Rm6fcNK37DYswyShB3b+rzl5W1ue0UIpsXiyiRzS3Wntzua5TasdBPavZiVFNxLfTjXUcx3El625wK/+ZNzXLGjzvzyFCvdBu1eQKfnsdIVBI1t1Job/9WmrZf9xdZt206OhsPBnj17Xmwo5be/MwA/cfwwsxtm/UMHD//IoUOHfu+Rx54Ui0s9ORwZekNDd2jpDmBlIJkbSM51I264ZI7feM8i111SY2FlisWVJsudgJWuz3JXs9IVtLuWdi9hpRvT7hmWe5a5ruBc2zA91ec7XtblpstidmxUTNQ9Ot0agScBRRhLjBEYC/0hIAzTrSGHzliMDbn70Sajfp1LtvrcfHWfyKxw7+NTXHupx6HzPdrLE7z86j5feCxg44xl3wnL//aODvuOB2yckdzzuOLmyxVL/Q5HT81w7Z6Qe58ZEI8a3HSFz+7tQwZxj88/piARHDmtmWhotID+QGKsIDGWKAakQfuGds/SbEVs3zziFZf3+Y6Xxqxr1riwNMniSp3ljjs2yx1Buwftbky7F9PuJbT7lqW+5HxXsNCNuXHvPL/6nnmu2VVjfmWSlW6DTi+g0/fo9jXdvqI7EERJzVx86dV2167dP33x7os/vLCwEF62d++LDSng7wjA4ziWo9HgbY8++LlLeoP4Nx9++DFvGMIwtAyGCf1hQm9o6A0t3YGgPRDMDSRn2zE3XT7Hr71nnpfu9lnpTDK/3KLdq7HS9VnpadpdRbsP3Z6l04/p9BJ6A0O7b5nvCeZ7ECUjrrl0wKaZhF7f8uaXj9i5yRAnEi0tYQRfearGybkam6djnj1SA9Pgsm2K6/Yaglqfxw71mV9ocuXOJhNTyzz4tMf1l9ZY7K+wvDzBpk2Wh/cpfuC1PR7Zp9m2wWOh12Z5aYbrLu/z4LMJM/Uprrykx1y7zcPPT1HXTV6217LnoiHIHk8dE2yYibgwH3HvUx7DSCElJMayc3PId7w8pNtTbJk2XHcphGGDpXaDpXbASs+j01e0e5JODzr9hE4vodtP6PQNK33L0kBypiNoD0bcvGeeX/mxZV52qbs42t06nX5At+/RHWg6fUVvKOkPBN1+Qn8Q85LrXhaB+tnv/q7vPNxs1D/reZ55sbH1omcyR6M+UdT/odPHH3vv3PlDM3NzS7QaEqVcoIj7X3pzFqAQFiktUmoeObiRX/iA5h03L/F9r11i19aQ84sTBH6deuDTCDyadU23LmkNPCab2l0wg4SNI8NgZOkOA5bma5w+ZQljw5nzMUFgAYGvLFoK+gOFwCPua16yU7B7i+WirX1GSZc7H1HsPzzNG14acN3ly3zkTosvGuzc2ufpBxVbpxTrJ/rUVJ0w8pjrQrOm2bZR8OT+kOv21Hn1tQv80e0DfK/F62+0eEGfLz4c8rmHmjx/rM7FWxrs3JwwOx2ya33EVTsTlDJoZQFLIwiYnQoII49u3+fZQ54rURg4IPYG0Btaen333buDhN7A0hlYVgYw31dcWLY0Jtv8zJvm+Yc3j7jm4ibnFiZo92p0c3AregNFfygZDAWDkSOAMIb77n/Em5ycee/62YeXbr3lxv+z2+3/UavVeFHx9aICPBr1QPBjZ088+GvH9n1xJhr0qAc+NnVCLAJQINxSIwRI4TpplLQomeBLydOHZnniYJNDZ+d4xyt6vOKKIVOtCZbaDZqdGhMDn15fu5MzlAyGmv5IMxxZhqEhjCxRZIkTdw9jH2tAKoGnBTVfMNUSTLdg03rDto191k+3uesxuO8JD2kmecNLPV5yWZf7n48IhxPc/BJBezBgbrHJTXsM66f61HXAMFbMdyKUEbxkj6bRGvH4gRq3XDfJy6/p8vgBBXaSl17h86NvXeILT4bc80iTfSdrXDSr2DRTZ7rVYLIF9QA8bVESjIV9xwRJIohiQRjDKMJ9x1HCYGQYjgz9oaE/MvQG0BnBfE8y14WRGfK6a5d42yva/KPXG+J4gvMLTTq9Gt2BT2/g0RsougNFfyjop+AeDA2DUcIoNAxGhrlj5zjzF3fO9IfJ//32t7xad7r9D0y8iCB/0QAejRaRIvnRuTP3/tqFE1/YIG2PViNAjtyqJgCERCAQQiGEQEpScINSFq0snjLUPcFCv87HvrSNLz7R4VVXrfDu161w1a4e66YaLK406A4C+gMvBbZy91AwiiRRLIhjt9TbdLlQ0qI11Hxo1A0zrYitG/rE9Dh0JuLj99Y4eqrJVFDn+is0N13d4eGDbe7+2gQ3Xlrjos19PvolgRIBE62Ild4IY0EJmJ3o0+n6mLjO2141x8c+12D3hRpvubFPGC1y7zPriJIaN1yxgbdc3+HS7W2++Hifp081eOqYz7YZycyEoBEIfM9dhFKAEBZjwRhLFKcXa2QZRe5CHoYwCKE7FCyPBEtdEHrItXtXePd3rPCqKxLWTdRZ7jRod+t0+wG9oUdvUKwE/ZFkMIR+euEMhwmD0DAcWUYhxEZx9kKHD3/sng29Eb/2XW99pT17YemDWzbO/P0H+ELbojRi6oywyxc+/cNJ1P/Nzvyz6zVd6rUaiBiwCDRCOJQLIRFCIIRESY2UCUqJdHk2eMoSaEtdC5aHisX2NJ/4SpOHnu1x8zUrvPv1K1y7u826pE4cB/SHNXoDj8FIE0aKKJbEiSQxAmOFy4IKS+AbGrWYwA/xvRFnFkfc/qjk8GmfY6enUSZg92afy3cpXnpZBxXM88yRFlunGlx5MWyaXWapM8FVWyWxsdz1SMCoL5lqxrzxhiGfvTfi5PkWey/xOLcy5LmjHts3TnPNrnnuf7rLg88JRqHPZbtmuGx7wGXbuhw5t8ThM/DI/gaHjjZpaEGgJc3AUvNASkcM1rqLNU6cdAgTQW8k6AwFnQhCE2PskJdd2uHd39HhVVclbJ4JGA4nWWzX6PYCekOf/kDTGyr6Q8VgJBgMJYOR6xsdjhLn8Y8cuAehYRg6RydMFPPnOvzhn395wxOH539zcrIR//P/dPdHJr3n+df/9J/8/QV4kgxB1F51TD/2QbH4uzNNdWG9h0+jXkPIKJcgQpCyNo6tpUApgVYqfTRoleBpga8NvmcJPEvDT5iqCbojj+XONJ+8b4IvPTVk43Sfd93a5rLtQ4aDHlfusmzfpBhFHklSpPkFFikNnk44ccFy7LxgZWD4zP0NzixMY0OP6ZpiyzrNjk2ai7fClbs7GLnA+z7bZGlpkhsv01y5u80XnxKI2GPDtKTZiOlHPtJKsBKlfdpDwYUlwRW2wa0v7fLA43W2rPe58coZ/vFbF/jw57o8cqBJb+ixuNJi15Y6ezf3uWFPl++6pcvZpSU+c3/AYj/gxDmPM2d8PCWQ0q16xloSA5GxJLFhel3E1Vf0GY0iLts+4p23jtgwqZhpBURRjXPzNfoDn/7IrXKDHNjSgXskGI5wK8EoYRgaRmHiJFBkU5DDIBL0Q8Eg0Zw50+GpTzyw/vUvm/7tN9yyLvrI7fN/9sGP/jY/+gP/9O8fwH/y332UjTM18aGP/f6u9uKBPTtn9/Pml2usbaUsTQXgUlikdFJBSomSEq0EWqWPWuDpBF8LfM9Q8yz1yNIILZO1hOm6oB9KumGTY6eb/MafzYCJEXHMS6/us2tTSByDsQZrXRJHCoFUAu35HDjps+9wjWZN0/Il6xuC2XWSDTOaLbOKHZsT9u5YIRGL/M6nJjhxcoob93hctjNhEHf52jMBU3WPdZOWqVZIo+6kkDGS9lCx1LMsthPavTqvvHKFR/f12X9SMTVR44YrpnjP2xb53U/D44eb9AaWla7mwtIEm9Y32DA9ZMe6If/8e/pMNNo8fQwOnJJ4nkUpixCGLDq3FuIYdm5KuPmqmCTyiOIAaxsMQ4/zCz6DkVvRhqHK5dsgFAxHgmHoWHsUuqzsaGQYhYZhZNL3bM7cg0gwiATdULAcCbqxIen2YXh0ara+7f3v/ZlL4te+7tWf+L7X/o5tbv0fw+T/QwD+f/36x9m9Zb36x7/4x7e979Pz73vkyZO8/toJdm3ucNn2HlK6kyKEQYoAKS1KeihlUVKhlEr1tsTTTnP6nmLkSUahIQgTRpGlHhlGkSEMLRMxjCLDKIYwFgwjySgJiJIa+w83eWo/JNbioO20sSfBV67moxXAlZthog6TTcl0S7FuSrNhBi7aNGLz7AqRXeJ3PjXJkaOTXHex4uJtkt3blvnyczEXFid56S7J9ISh5g8IZIBVgjiRCGuJk5DlXo0Lix7XXVbnJXu63P94jY3TgkatxXV7DD9z2yK//WnDc2darPQMK13F/LJm/VST6Yk60xOTTDQiZpsRO64LCbwYT8colSCFCyYs7qKKIsXcvCaKFVGsCCPFKEofQ8kokoxCyTCUjELhAtRQMAoto9Ad11GYEIappo/c+8MQhpFgGEE/B7ekF8aYYZ+X7F7mZ763zU1XzDWs0h9ZPvElE4k9n1o4/r5k/c4f//YH+C/8xsdpNQO17+jZdx47fv6PHnrqXC1mls89XENrya+8Z4XLt3dRMkEq48CtPJQy7lFaPGXxtMLTFi+U+J5wJ8ETjHxFGDmgR5EljBPnisSlewJxYkkSQ2JwetuQgzuTQlqC50GgBbVA0AgkzYZisiGZnhRsmInZsalPq7nCpx4IufeZGVYWJrj6IsWOzR6Xbh+SiBXueqRB09PMTitajSHPHIHnj2qu2m7pjxTXXBpx9W7L+XMJ88s+g2GDN13f5atPDzh0RtGsSwJ/gqsuNvzKDy/ylecGfPYr61nsWHZsSFhua6YmFJNNj1bDo1m31AJD4BsCnaCVk1oyba20FpewMoLYSOJEEMeCKJaEsSCKJKPIOS9hJAgjSxjCKEoII0NYIo5RVL47cA9ScHciSTuC/ihCRj2u27nML//4Em+6wdAfTNHtHa8RNf9EBf7/YryZv7xw5APJxt0/9u0N8KkgkYNe+/uOHz/z+8/vO1GbamjasSaSkr95UBGOFO98TYfveV2P6YmErjRomaQ62+lhT2u8SBNoxdBzTDPyJKEvCCPhTk6kiGIII+kchLiw/eLEkCTOXUhs6pSkbknmzijpZI+vBYEvqQWSZl0w0bBMtQwbZ0bMTneJ7Qqf+Krkw59bx4ZajasvEly02WPnFsOOzct86muWpaUal21STE9AqxFx4bhkbjnA3wWjSDA7KZmagkPHLMsdw/mFGpfurPHal3a5/b4a61oQ+D5KTnHVbsGPv2UOT87xN/dP8/yZGhs7ERumYiabilZd0ahL6oEm8CHwQGvnMEkBUpRAjruwEwNJIogTUqBDlFjCGKIocaQQGcLsMTKp7Zi5MqkFGTtJ0osEnVjSjQzhMGQy6PC9b1rke27t8frroNNrMRgFjCKfqH+sJmv++4VX11YEf47jmW9PgL/vjz5NYswPP/vQ8//p+NFTEzMNxTCxSCHoCI+RaHHXI5qvPVfj3PIi/9t39ZmeiBkFNTr9Glr5eNrD0x5+mBB6Gj900iSMXCrdMY5wTJSyUhxDlECSOCfBGBdwGWOzHs4U3A7gLnAVeNoBpBZAo2Zo1WOmWjGzUwPWT6/wwP6QP7m7zoFjU+yc9Ni9CbZt8tm2EfZe1KEfd3h43wR15TE7rZhqwVRrxPRkjO9rhHAX12Dks9SJWOlb2r2YuWWfiza1ePllc9z9SJ8DZyZoBBGe8hFikt1bFT/4+gVetneOP7m7xcPPTrHY02yYiJlqxDRqknpNEXiCwJN4notVlCK1Dx3KLa6H1RhyoMeJSVe31FqMDXHiwB1HEMa2uKcJnWHsSKUfCTqxoBvDcBhj4gHr6h1++ruX+L++v0cj8Gl364zCgFHoM4o8okgz6Jye8OrB70ysu9o/9MynP3zp1e/49gP40nIbpdSP/cEHP/lrJ06cXtcIBDqxqNjpXZ2CfCAlKyPNf/oLj31HlnnbLT1uvbbLxvUh3U6dwSjA92IC32MUagLf2XsZwKNIEsZu2Y3i1NNOSK0/UuaWGEsBbpekTJkbtHIJE9+z1HxDvRbTqsVMT4zYvL7DhXaf3/uMx12PzrC03OSSWcFFGwRbN/hs2yDYtWWI9lf42L2ao6ea7NkomW5JJpsJUo44M28JtEQKsFYQRpodGzo8QkKnr1juWC4s1dmzrcZ33drmL7/oc/xCgKcjhPAwtkkUS166a5kd39/hrsf7fPSuGR473mTrtGB9M6FZS6j5gsAT+J6LVbTCBc5S5DUZFneRGYtzWhIH+AzkceIknQM7hImrdQmz5FEsGMTQjSXdGAahIemP2La+y6uvW+btt/R58/UGLRosr9QYRQFh6BFGHqNIE0aaUSTp9s+u8xoX/+bel9ymhsP2B2q1/z4Tt/67AHx5uY3ve//49jvv/bUnnnpug68tUgpk7JZNl4UUeFLQk5KurNEONR/7co2vPN3luss6fP/r+7zlxjbrpgIGw4DByCfwPMLYI4x0HijFsSJKJHEsiRJBHEuSRJAYUWhtI8hVic3cGpcsUmmyyPcMgZ9QD2Ja9RHrp3oMogFffMby8S9P8vCzU0z7HldttWyekWxc57NlVrJtY8jFW5d5+viAz3x1lkmlmZ0UTDQFE42Idj/hc1+r0fKdO2QsDEaat9084o6HXE1Mu2eYW9Zs29DiHa/o8fD+LvsO+TSDGCWFA7lpMAyd1v/B17bZs3mOj32lw4PPT3Fyuc6mCcFkzdLwDTVt8D3QSqAkaYLMfe+s/MikUs2YYoWLU6A7goAoEURJCuxEMIwF/VjQS3AxTxjSrPd5xxuW+L7Xd3jpnoSN0x6DYZNOzyeMfEZhcc7CSBKlj2EkOHNy3wa/9uCv7dp7i+n3Oh9qNL/1jRPfUoAvLa/Q7/cQkh/64pe/+h/v/PwX13XaywS+QiUpuIVLLUsBWoAvIZDQlR59T3G6E3D2oQYPPdPjL6/u8s7XDnjjzUNmpnzCUcAodmwQxZooBXqcKOIkTdgkBcCNTZnbFDVlIrUhlXR1HFobfC8h8CPqQUirPiBhwBcel/zZl6Z49tgkIgrYOW3ZPGVZP6WYnfHZtF6yZTbiok0dTs13+YPPNolHdbZtE0y1NBNNmGhECC+kM2gy1bIIIbAWolgyEyhiE9ONfLr9hOWO4sx8nSsubvET37nCb/55wIn5JlpF6YWhieMaw1CyaV3ASy/pcPXFPZ47cYaPf7nO3Y9NcbZdpxkoWj40PYuvLZ4CLd0xF6JaXWcAa9xFlxhBYiFOhPPPE0GYuCTRIBEMEhjEljiOMdGIdbUBb3rdCu96XZdXXRUxWfcIoybL7VRrx5ow8tLYKF11Y1WsuLFk1O/w1OP3bhiE6j9eevn18dz82T9u1ps0mt86Nv+WArw/GNBsNN/+wNce/d077vzCRK/XplHTRInNl8nM35bCHXiduGImXxnqiaCvfPqxZm5U428eanLvs31uuKfHP/nuLpdf1GHDlGKioQkjnzD2iOMC5EkGcCMxVmKtkwQ2DyjTVL+yLojVMYEf46mQziBivhPxW5+qcWxumsf3TWGNz7q6YMN6y/pJwboJxbopj43rJJvWxWyd7bNuapm7njA89vwUV28TTLckrYZkomFo1kOENyIINFq5v28tJIlkMNIMhhGxEXQHhm7PstTxOL84wU17e7z8ihU+dk+N+pJCy8gB0mrixCeMXI/n+qkaL9vd42WX9Hjk1Wc5MS/5k7unmFtpcHoxwFeSpifwMxkmHcnkRJ5JFRyTx1YQG4iMYJTAMIbQWEhiiCOkGrFlesDVO9z5uP7yhIm6Jo6btLsO2HEKbLfC6lQ2FuCOEpk+CsJYMup3eeqxL6+TUv3uJXuuWx4NB5/5VmLyWwbww4cPs3XzJvUnH/3YJc8/f3Ci21mh5mvipAC0EpYoEajYulqPBHQi8JTFjy21RNBQgoES9HXAIPFYDOvc/dgkDzw/oBmM+F/e3GbbupidWwbcdGUXLVyLmBBOrrispKuVtrbE3FiEtCjhPHNLDDLmuWOSR/drbn+4xXMnW4Rxg5ZWzNYtM03LdMM6H3xCMzOpWTcl2DQTs2V2wObZZe59dsT7bt/A5inN7ARMNBUTTUGrEVMPRjxwUDEMNV7Tgcpad2JrWnHtngEPPTPlCp8GCSsdj4WVgAsL0/zEWy5wemGRh56cxZOAiDCQA2gUSnoDzXSrxtREk5fv6fPqq/t8/2vm2X/KcMfDNR7eX+fg0Sax0IxGin6kUHnpQznwTHMC1hAbizUGTyRM+iE1Il5+XY9dm4dsWx/x7jeOqPuSZt0jDBu0u366kuqUcFTutbu7XH3PbUpBYiQrKx2eePSBifPnL1zyhje/Ux09eji5+OJL/u4AfP/+55mcnPSffOKxH9HS/Kdud5l6zccYW8lQSimQ0jG2inESIbHoGDwp8IwlSCw1JWgkgpGBYeIxSDz6SY1uN+E/fmwaG0dsnB1yxUVD1k3GvPO1Ay7aEBJFItXbEkrMTfYZpEFIwSe/UufpI02E1pw42+DMhQa1umIyEEw1LRM1w0QNWnXBZEMx0VJMtzTrpmD9VMzGdUO2buiQ2BU++dUJBr0ml26zTDQUrYakVTe0ajGeF3LXQzVGfYm3wXWLZhKlWVe86YYB9z1h6I0kvUFCp69Z6WrOLza4fFeLd76qw+PPNTix1EJJA0SpXvaIEsUocomZ3lDT7vm06g2a9RGXbxty494hp+baHD+3gvYSnjqq+csvNxDKFa4xPn/QGsCAtURhwo6NMe967YD1Ewl7d1g2roMk9hiFLeLYY7njEUeKKNFpHOQAnQHcxUQyrfUpGwCFERDFafVjojl3YYnmdPSfHn/8sf7uXbs+fPDAvnDP3sv/bgD8xIlTnD8/v+f8+TO/99STj8nAk66lKrFpVtISS5uCG+I0BR8bgY6dTowSi5c4DRhoSy2xxIkgNJYwEYyMZJRIQuMRGZjvTfDlpw2WhL9+2I1swJr0nmXxUotMZBWJEqkUcaSRRuNpSSuAXbOWpmdoBIZGAI1A0KxLWnUnhyZbkukJWDcZMzs9Ystsl4Rlfuuvatz/zAZ2r4PpRsreDUmrHtOohzQbA+r1BoGSKJlqcJwciCKP4UAwGCV0R8p1LQ2Ma5lr+py+MMkrrxjxM99zgff+pebkSoAQBmsjTGKJYo8wkgxHroy1NdA0a66upxE0qAURrXrISy8N8b2I6y+Neffr+mgVp0kg4+rty6I8lXTGSISQBJ4CfIYjzeKydnU7SRbzpPdYFjFQWriWgTsDdpZYitOgtXjtznecuNa7hx9+VAqhfi+Ohl8dDofPfiuw+f8Z4Hfd+ddMTXj1w0eO3LZ//yEhhLOoHGM6UGfgVsolYKSyqARU4rRhnIBOXO9jnEX0SRrVZ5G9EcVrIwiNJLaSxGgiE5Cktlf5lmcpU1tSS/AU1OqWmrbUVELgQaCh5lvqgaDuSxp1SaOmHcCbgqmWYWYiZt3UiA0zPbZsWOR9txs+evdGtk8p1rcME01Fq6FoNqBRT2jVI84tGo6cC6j57oKGrNJPMAw1uzYZNq0f0hn6DIY2ZXHJSlfTqtdoNaZ49+vmOHruPO//zFa01FgMiUmIjSWKNaNQMQhdUVS/JmkMNfXAox4ktLsuxvC9xCXMvAQtXaOElEla92NLjSWuhNOBXNA2aZWlcXFNkkiMkcSmiHccQLMAP3teekxZugA3KWsLkiTLVzigSyl47rlnRLfXv23LlouOfOpTnxrcdtttLy7AWw3Pb6/M/3y/c+HnlQhl4EuMASFlDnApLYm0JCat5U4ESSpPYgM6/ZJJlnwwNn1t8/eK50WlnPNyRR4olTU3kGbybBrQGrQkrWkBTwk8bZ1vrAW1QFLzJfVAUa8pWnVJq2GZbCZMtWJmJkasn+5z0cZFHj444mNf2cJ0LWBjyzDREA7cdUmzZmjWYlqNEQ8fgKf2N7hk1qa6t0ibD0aK6/daLr1owCPPTtEfufa83kCnIPdo1OrUa1N87y1LPHVwjof2bQKrMCZx5bCxJY5sXk8yGGkaQ0u9pqj5hsD3CPyEQBu0TvC0yw4rZdIiNlcajLAICj1XBOeuhNhkjpTJ7NeSFZsB2zgQF6/JgZ3dHYGlj6V7klgS4/z4peW+tOLsv5aq5jebzV8FwhcN4MNhX4aj4S/fc+fH/s/2ynm/XtNp4wDIRJAIQVIBuAO2SpMKibJokz43roHWJOTPkyzjZrPMm8WkmbgsWWGtpZR5r6y4Wao6S+gomWYsFaWiLZf9C3xFLVDUA0GjLmjVLRONhMlmzFRrxLrJAVtml3nowIBf/qONnDw9xcXrDVMNmKgrmnVFswbNWkK9FuF7Q9pDVyzmKRd/ZLfEZFrUZ6Ie0Y8N/bTOuj9M6PYl7bqi0Q2oBS12bor4lR9p828+Ivnavo1YFMYaksQQJzFhbAgjxTBUDAJJfaSo+ZLAtwS+ItAGz3N+v1Y2rfNJV9VUpghhqw26aWrfpiRi01qWJAV8YopHR0YyfRQFwNPnSUmKZMk3dwEURBYnBpNetMdOnPE9v/Gz7/nRH/T6/f6/ajQaf+t0/t8a4P1ehySOfvWZJ+//3+cvnKz5niRJ0/CxcaBKpLtilRTEyhZXqnTgTlJwm+y5EZj0Ss7A7TxasMa6LvK0BLR8ZwzgWWArMnCLrKbcSSKdtqJ5WhL4bgBQLXAjGeqBpVkztBoJE42IyVbIzMSALbMrPLS/z7/58HoOnJxhx4xzWFp1SbMhHXvXLY1aQqMWESUhf3pPC6kUnrQoUdiExmZLuMcPvmGZzz8W0g0D+inAewNFt6doB5qaHxB4E+zdHvPvf3SRX/qw4MFnN2KsJDEurR7FrtBsFBpGNVfuGgSCmicIfJfZ9LXNM7ZaGScTZWHb5gAvUp5ASiK4XIJzW9JAPgNwOnXA5Mk1UnYnX3Gz1bkAuC0ek+zcp88TA0iOHDtR+8KX7v0/3vSG14l2u/MLk5N/uyTQ3xrg588exVr78qOHn6xbE+Ip6TSdBJmQsjcoQ/ooSKQgydPDGbjJv6ApMbR7Tg54Z/vZlLXJm5Ht2OcqejfTOhNJUUyV1pE7gEs8T7r6DV9QC9zMk0aQ0Kw7cE80Q6YmBsxOtXl4f59f/tAMz51Yz7ZpwbpmSZrUNM2aq1+p12LqQYjnjTizOI2nBEqa1JYrgswkkcSxYvO0JY4jOlEt7ZQxDIYJ3aGk3lfUfA/fq+HpSS7bFvPv//E8//KD8NDzG0iMdABPLFGcpExuGAWGWigZ+iqXYJ4Hnk6dKyVdLkCmcZIAkT6ugXEnV0iTQog8OWTS5FCWLU6S0vumkJxJCdjGUAG0KYO79F44CHnga4/Vd+3c+XIp5TfE47cU4Iefu4NWo994+IEv+iTLBL4L8GQCMgV0otIvljigG5O954BujCXR5F+oCuxMhtgc6DaTI9nzF/hsUhRFVFKClCIHt5IybZTI5AnUPAh8Q71mqQdOPzfqERONkKnmgPXTbR47NOSXPjDNMydm2TKlmG0aJuuCVk3SqCkadUG95i4Ol+oPeWifoDf0qSnSi8xp8KwJITGCKNY0a4qbruzy8HMT9CMnUwajhP5A0Q0Uga/wPT/Vz1Ncvt3w6++Z4+f+EB7ct4HISCJj0mbpogdz5EsC3zj29oo6eq2yO6lMKWRc1myyFsizpJDNAJ4CPsmdF9ZceU0qQUyJxJLEpj9fDXSTXgzGwrkLy/zxn3/Gf+tb3tL44z+/o/9D3/8P/vsDfGHuBBNT26cOPvOXf+DJ3i2BjlBCuStUjl2x0mluU1q2HGMXV7lRYm3WLgHa5MAumoJJtXd+MoTLlAqZgjstMlI5wEGlFYOeBt/DdQL5aYFVkFBP5UWrPmKyNWC61eHJwyN+6QPTPHV8A5umNLMNw2QdmjVBs65o1BWNnL0TakFMqzHk3qd8Vto1pqeLNHkGGGMy/1exYZ3idS/pce+jxnXRhKYEcknNk9Q8jad9tK4jpeHy7ZZfe88cP/eHlgcPbCAymiitAHRlr47Jg0jm1YW+lmidFmFJgdLZsSH/fNlFmEkVkVWlUSSExu+m9GhM6TFfeavgLld2JqXXBbgL8IehQSwPbjly9NgHf/o97/zJm288vrLnkp3/fQHe65xl2J//ucW549836C/ieR5SmTSYSANFObZEGZHq7OwqL674TH4kuQwhZ+9KIDnO3CnSs4xcrr1lVkFX6O6sYlArXH2Gtnieayyu+Yaan1CvxTRqEc3aiFZjyMxkm8cPjvj5P1zPk0c3smHKY0MjYbJhU3Cn7F2T1APH/rUgphGExGZENwwQSuJlDJ5rcJGewNQvjjya/tCVC4Q1pjOQDxP6vmPwwJeuJl5nG9Bartpp+c2fvMC/+H3Dg/s3EhnNKBGEiUlZXFCLDIFn8T3Xu6rTuEMrVyKspEyPT9qVnz2WCrPyC7Mc64yBOyehEjGVwZ3HVbZ4Xn4vq9XPWT0jSCs4f2GR/YeOfd+9DzxxJAyjf/nflcH7nZPUW1t3PP3g+6+Oh6cJfEFiDNJkfZNFoKGMLYIQY9OOkqyox5YALvIDlZjyARMlpiiykra8ZmasXQ4qs+U27dBRaTClddoZlBYhZdWDNS9JdXNEvTZieqLPZLPLQ/tifuF963ni6EZmJzWz9YTJmqWVgrtec3ZiBu56kFDzYyaaIfuOW77yeBNfSjxl0iCu8Ciy5TtKFLHR3PrSiEsu7nHkZJ3ZBkWf4yihP0xZWCu09tJKTOddX7kDfv3HF/iXf2j46nOzDKO6S4bFlkZawx14OJDrbPUyeW+rVEm+wikpSgAXJZCzSq8UILdVgOcVisXKu9bKXLA7VQYvyZwkvUAsioNHznLXFx+9+t/8/I/v2H/49InLLtn2rQf40sIFEjG189Sxh/9LFC6+XdgenqeRiXEBZM7czifNA4/cXrKYJJMjYtWSlvnDNve0x1ySVW5Jytzj4BYWqTJbMK15USlra4uvDZ5nCDxD4MfU/JhaENKojZiZ7LPc7XPfs/Drf7aJpw+vZ30K7qm6pVUXNGsi98qd82Ice/sO4PVgRJgkDAc1aspdZFKISiVflkhxgaZ2Wl6PGIWWQSRKADf4foLvaTxPuqkC0ssBjoBrdgl+/SeX+Y9/HvPg/nWcbU8wbEqmEksrttTSiQOBZ1PvP3NSbM7emVTJAJ5/3vRDl3GeK8T0pGSragHuqqR01ZwlsFeAXkiSHNwl0GeEuNQecG5u6e1f+PKDyWtf9ZL/48yZs8e3bt3yrQV4PDwESf3G3vIzt3WXD+B5PsYalBCpxCj7ozZ/bcpWkhK5JHGgFunSliVsqlKkDPDsEJdVYXYS3LiHjL2LbvxiOJAri/W0ScdMJDm4Az8F90yP+eUBv/anDT7ztVkWetPMTkpmaym4a053N9LAsh5IGoFNGdxp71oQAiFfetJnOfJZF1Cpx0ZUV6gkcc0PE4Hmtdf1eehASDcKmMw71g3+yNWq+9oBXCvXkC2kS9Bg4bLtkvf+kw53PDTgVz+0kdML0wymNFO+oBUbGjEEkRu97Cs30MjLAk0p8iA4eywH6uULU4i8VyQ/PzAmIcvALsVPpgT+ch5jHORJOUDNZCuaR588zNYtm27z680/7fYGx7+lDJ7EHaRqXdqZu+efytFDTDQMiU0ceKUDuErSlG6W+coYPM2AZYDOtXYO6kyC2MKGGmftsixJD3TGLFm6OXMBVAZwZV05rs56O11/p+8l+F5MzY8I/IhWfYDWfe59KuGDn5vg9vs3EJoJNkwI1tecLHEWYOaTq/QuUuYus3eE1iMeeH6KfqjZ3Mg+zziDZ6ubKyWteYqXXz4gNg7gg0i4rvWsc31kXHCo09kwqb2XDbezCNZPCb7vNT1awVk+9LkB9z2/jvNRnX5NMhFbmto6kOs0DlE2jUtsCvLsGIqidlyCpGDx8R0Fc6mSjahgXJuXu4eK2vOM0ZM1gtOkRICJLZJ8I+PxV198nksu3/tPf/gdr3hiqdM/NDPxjUfCfUOAt5dO0p/7FNKb2RJ2n3+1MPPUak3iOHLZK5MCWEoSY1G2YG5jypKkYO+KHMm0NmkyoQLskvVQtq+EHZMmWVbOVQy60W4mrflOwa1cLUbgRfh+RM0LaTSG+H6fP7tb8xt/vIEj8zN4QY1NLcFMkDARWJoBNNMO+3rgsp21NCHk6leSdCVw8mShk9ALfXyl8GXR3EHpq2QXdla7EcYedW/IpqkBK/0Wg0ik49ZcrOB5SWrzqdTuVOmojXLg6iof3/6qHtdfMc+v/8mQj941y1LcpB94ND3JhHY1OIEGX5E3Q+gs6ZPPoRF5FjhLAJVJpSpWykCnsgIbW5WahTYfu68yG8rZ66xGXbJwocPnH9z/6vYo2XJuvn3o0OGTXHrJRf8fGdwmiNZ37hx2nnxfd/E5lJRYYgQKZV19ScZGOgV7nu2yVYliTVHfkAWP+UFAlCSJGJMmGbhtwSZp9k2WAS4tSrrREwVzJynIY3ztJEngjwi8AccvxLz/jiaf/uo6jl6YZqLhMVOD6SChFdg09Z6BW6bglnlSqJZq78B3F85Ec8SnHtAcOlGnlk7gytvFKFCej3GwTodHseayHfDW67t88M519BqaiXT2SBCmcYMyaC3TsXWUQO6VzpU7Dxetl/zCD/S5etdp/vD2GY6en2QprtP3NE0laKRA96V1F07qMuWrX3ZcM/sQp8+LTKdd7ZNnxJSVTuS++WpL0ZZBbKsmQy5PUrAnlrzQTinFg4/s5x/ectn7fuD1N795brHzDaXK1wV4HI9Qyqe38NVtce/x3XHURmvpKtKkJTESlRfimLS5N2Pv0vNK8Q45+G2Zva2ojEq26QkjY+wM5KIAtnssCrqUNKlrkrF3gqdj17mjY4JghK9HdJOQ3/uEz4fu2MSZxSmMqjMzqZjxLZO+oZEydyNP38u0TiWVJql3noPbd9nLURRy6HRALwyYDlIXJ0s6Za5EloW1pZqUSDPR1OzaFqKCId2wxcAX1CPLKAO4TtJEjXI+tsxKgNcKXhWzk31+4u19brv1PB+6o8P7P7mOhUGTga5R04qGFtSVJYitY/O0T1bLorwhy3KuYnLWkCvjDgtUY6lMhpSIrMzieZxmC4swkyixEcQWrBQsLHa454F9u4Mg2PYP3/Cy42EY4fseL3T7ugCX8VlgYtb39SdWel/1aoEBYdLt+iQynelnsrJKK11RTqkKLWdskzF3Cdgp4AvGFtg1P4kt2YE2B3ZFnsi0Sk4lDuA6QasE34uo+SG+F9IehjzwtOTP7p7gk19dxzBp4fs+63zBlG9o+pZGYGn4BbhrgSQIJEEqTVxiKHUmUoD7nst8Hjtnue+xBmHkETTtqgAzuxXpbHfswkjheZrXXd/lY1/oceB0k0HNjWYYeRY/Bi8yeKFBKWfHOhkhi+E+FMczMZLYSBqBZuPUgH/xvX0uv2jER+9u8ei+SeYHTYbKx/M0NS2oSwiyAUuZvSpdXVFesCZKxz9l8vHirDKjZwQ17ohlrwvtLUpsTl5vFGcEYCFM2+lcxZXHx+5+ynvr62/4xOnz7ZcsLvfm/9YM/tCRbbJun7hx2v71ZMvrOgCTgVWijMpLKVUG9hTwFXCPyZL8ngE7lShlBq8U/qQTw8lqXYQb9ZaVezrdbdEqcQBXSS5HtI5o9yLuf1bwR3dOcPfjkyy1W8h6jVZdMeVZJnxDw7M0fEvdJ2Vtx9z1QFLzFTVfUPNJK/RMCm5D4Dn9rfSIg6fhTLvmEiupvq0mTor6GdcHKVKNKQlDzcYJwaXbBzxzMqYfeYzSGd9+iAOfyibrZokakGOdOdnFk9mQUeLqw9/1ugFvvGGZLz7R5SN3TfDovgkWuw3a0qfna3wl8KUgkK4RXEu3S50SxUWqRFr2uwaDr6pfGWfyEqEZSoGnFSSQy5GkBPAwBXicujEZWMJhzJ//9Z2Tl2679cZrLttzJ19neNDXBfjS8ungeFv9/r33nGj+b7d12bHJ9d65nkdXl1zUCmeNvg7gZXBXnptMh5YAXjogFV6oSBNbKdB3ssSkmtugZOIG4mduhoyY78bc+5jmc/e3+Mx9k8x1mohaDa/lMaFh0nOdPHWPVHZA3RfpXaYlp6nu9gVBxt4ZwHWM78fU/BBrI770eMCJc3XWzwg8aVIdK4pG3xLb2ZKFmiSKwchjx0bB667r8+mvhfQij0EkqHmuX9VPJ0sVq5TK/Wo3R53iuFrhzlHWqGCc314PRrzrNQO+4/pF/vqrXe64v8G9T7eYazcYCJ+Br9GeQgs30sOTEk/YVGpZFKIkDav24RpkXnHBCuYWeQCajDG2uxfSJMmvjCS9G4hjLtnc4Tuvn2teuvWm3yc+ezkw+FsB/Ol9T7Iw3+NjHzNs36T52R/qI3s+SZKBPAN2weTZnpWZLMleZ+9VTgK43sk1agIrAWUJ2G5Ap5MkIgW41gm+jqjVIoajhANn4PhZxcfvmeTORyeYW26CV0NPeDSUpOVZWtpQ9yx1D2qeA3fNczMJXZmpLN1F+nObgtzkIPc915525KzhmWMBeF66zNtSil5UUFAOwrIShzhx45yv2jXiim099p9pMKgJGrEgiCwjRWrtmZS9MzclsyALrZL77HnSTaXTBzyGoUe9PuKH3zTibTet8PnHevzFFxocP1tj/5kG4UpAHGiGWiOVm+qrAJ0+ZkyeSxeK4H/VLXdTClAbClAbSlagBYNrfM5Fu03SLGAMJK5yqxfz3bcs87bX91heOjhVEzf8o07PfnCiudYH+DoADwcnRBgO/ukdd/zOevO9i+zZYYhiix+MkDrChJIwVBijHMAz1sgBXQa2LHQ3IgU1pccxeGeReq75XFLDSRKT7vKQEARukmqcJJxfhHu+rDlyus5XHq5zZrnOkbNNCAJUQ1PTiqa2NLVxLoLnBufXPDeuzYE4u8v0rlKAk2ruFNxeQuA59nYXVsixedh3vIEnq/ZgLlEo6sFzRyFzUkza1xh7XLFjwKUb+jx7NKYfe7QiwUiDH7uZgKoEcCmF65wqMTmM228iD2azPsoo8Rh5PhP1kB98w4hXXd3hzHKHLz3ic/RUwOcfb3B2sUYy8DBSE/kKIaVbKdKufEma8YRctqwF8kqgSTlLnbktmUY1pXvK1qQAjxKIDELHKD/hwCnBH3yyzlLv6NSP/UD/Z3wv/tBqFH0DgKv+X1Ej/r43vvz5phIh7/t0k4/fVec1Nwy5YmfElhnLJTtHKCtJIllZEqtAz6RICuwSi2dsXf1kthSxF6ydSxGV4AUJUWI5ekrwzFHFPQ83ePaYz/PH6nRGAaMwAM9HTXgEStBQ0NCGeskHDnRWp5GVzbq68CCVJb6v8H2ZXgC20N5e4jKLntP5NT/CmpALS5KRDdBa4kuLLtlsYwSegzzJA3TX3xjGHgLN7EyIVEN6kUdfC+d0REXBmFamkoGUohTFZsOOcEZAzuSlwUheovLxE/2Rz6bpkIs2Rrz04hGDcMD/cqzNs8d97nmoxjPHahw9WSOKFQQKKxUISSJL2aA8SbGGVqmI80JHu0dTehy7GwORQZOwe1fE1pmIy3ZFvPaGIRN1yx98qsVXHz3DyeXPovULC5E1f/LBj97F+z+7qJaX7xXn5gLufqjFM/t9hIR7Hmkw6Rku2hZx1WUhb7h+xGuvDcG6tqh6k1RnSzCCOAV/FkhWGLx8yVsHaNL5JZ62IAxCWqLQ0h86Rj9+WvLndwf0I8WTz9c4fCpgoeczSnzQPigPNaHwpaCuoKEsNYUbZ6bSwiPlWNv3hEt6lMHtSfxUlgQ+BD6pa+JS5p42+F6cZkQj6rWQueWEex5s0e4GTE8KdOrFZ0Vf4oWYzZQCQiMZjRTr1yneeNOQzz864GS7ycCTTqZo8GKLF2Wedeqxy8TZhZRnncj8bxirKyUTSSLxE0WiFbHnxj5EkeesVC+i6Ue86qqYl18+4h2vHnLwlOSpfR6DUPHRexocO++BkPQHmiRUWfkmVmcAH7OMyunbCsABaxCJRRiLTYFdbyZ4nkFYw2uvG/GG64dcuTdix7aYSQ/WTxiEgK0zlnuuOk1z3UPi1hteqX79PbfHWy5+6zcHcAsote73PvTZyWuOntrGKImhnmCtZb5nmDeGY0uGB581fOKemNmZGGss1+0Jedfrh3mv3eyk4dqrQpq1dMWxIs+BrT7nIh/O0+4Lnnpas9iR1GuSh/d5fParNYaRYhgpzp33MUITWQ8jPNAaEWi0lPhKUJOWWgrsQFkCZV0NuE49X10wt5/1ZebgVmmPpsjZ2/cMvp8VaCU5e/t+hFIhX35C8emvtVC+dnZbRX+/MINnXniSZI6HYjj0eNvNAz7zQIePfmmSXlyjmepwL9PhUZaUsXm3kBAyB5j7U7Kk9UsAN+loB+2Y3NOKWGt0nDigqwSl3CD96VrMzXtjbtobYcWId76mzzBy49z+5qsBj+zzqQeChY7iqWd9On2ZqiTBC4ryfOcJ1xp47bUR66cS1/SQGN71+iHXXhphDcxOW2amDdoVZThLdSgxSC7fIbh4c0J3NLjGm5r+PYT9iW+KwVdWukxONif+7f/zmb3tgVUjWXd9ZzZ22kglkE5BGhnDhbbhwoobGnPwZIPPftldiTaxTE4bbrwmpFV3dcBrpifLl3rqOqz0FI8+49NpK6SWbiaK1Y6ZhMbNBdYgNVJKPCkcmKUlkAZfOiD4CnxVzOhzIBdFw4N2jQBZ43EZ3I7h07JaL2PwpHSPCXSEtSFnFnzCUY1gUuKnaW+VVuVVspiCgrxK1mnenW4UYeQx3VJsXx/iiyGDOGAQC+raDcHMakiyhJaS5fJWmf8t9zcyV8sU2VOT1u6XpFEcJ2neQKVz2WOiOEFFLpegVYKUMdvWm3TFMFx+0ZDQDpDa0G4LHn1Gs9KXqFyxVIPqyplOi7GaNcPLr4mYnDbY2K3sdeWOXe7URR6hzaRv5g4pJ+0SiSRUnl7aO7393RPDYa9TqzW/PsCPnprD95Z+85nnj76m1+sR+IrQSKxVJcsm2wOmpJkwxNbSzpYgZeisWM59uVn6imsBvKzf0pMjBCbbcoG05lSoIsiRMrWyMlCnaWdJunFr5huXHnXaSa9It94jB7dr61L4Kbh9TV5i6hg8ZXFt8NPsqOdFBEHEqQXDn3y+CdrHk6IIMHN5IlYxeNkfzhJkDmxusE4Yebz7jQP++t4Bz19o0Us8GrHblNZVAdqiE0dlOYFysJeVLmZSSJYKvLK7yWthtFZ4iZuX4qVAV7JImrm68fS5MOngoAQtLMImrG8Y/sErDYgklZmAyPbPWOOc5zVGAowiiTTZPJY4kkRkQHaPIAoTw5Qs0EQRxX3MypHXNGeO/6a18U99Qwb/zQ/egZTS33/kDH66LZ0CooxxkGkEXFpnM7BDCfwWlCXxSuBeE98Zu2UArwYvQsq8BU0J8IRLKwfCVQt60r3WkrSmIu0ezwqJNKU5KKQ7sxVd9QXAZS5bAt/mLW2+b0qDc2K8lL19HSFlyInzgvlODaE1gaQiT2T5a5VOd1k6VICXOh1h7LFuYsSOTQP2nx8xSDTDBIJE4CUWL051eEzuLBUpdFXpVMhiOzdpN6uzFiVpZNCJIVESpbPty1VarOa2lVGyuAtpUCnIRfa3cVOyhLS565UBPXPA1gJ4kdwr4rLMlKCSPyknGLMaJ5UH0IxOEC//qW/XUAirAP7I82dBwOJyCAh84QCTZBmnLPovp2HJ1EcG/DJVfT1ZQtqVUyqsFwJJkSJ2U6nAExZPpKBNJUD2PH8vJfuiFJS8wdZXwoG9Am7pHv0M6FnwmYI76/7RJpconnb61PcjYiLueKDOhfk63qTCL9dwlB0UxhRpOXVdqr7Mkj7DkZtg+5ZX9Hjg6SGduEZfa+qxIUzT6UoWBVFZwZnbyCv7S1mgmVVtZtZhOlPFQqLc39RGECuBTmS6i52r5YlToBfJNJMn2KQ0pcRb+lyWwZ3avPleMS9w/kuFduQmBBX3bfWdfHqwFBZPtokGh9eEWgXgv/GBv2GiWXvlRz718PVL850cSO7jmtx+ymsGoJJ6zT8Q33jjlVyQZMkC4VYKkSYSNORWm0pTxm6+SaFxVQbsbKBnKk/KwM7noChcP+JaAM8Czkx360yW2FRvV2vJfS/C90LOtw2PH66D9t0IaGnz9HzO4FRZPGOuwgcul4rK3BOPIo/rLhmxbmpAe7lBP1Y0FHix+y4qcQOUVFQGOA7k+R+SY5WaIu2bTEuclSExAs8IEiVJlCFRgjgFebl4LSuHkBnIS6DOSiYEJgU5aUlzlokuknaVYoxK/UqZzUufmSqwc8s5PXZCpFuvmMnrZ7fd+sp4+Tvu19PvXhvgcSzoD5J/oLDXijikXtMITArwrJ0sa1OyFfY2eWDjfpdhtSIRqX1SNpOyqzzLihXgsDmDj5dw6qw2Iq0Bz0o9XXNx1qniZInKu1cKYGfNt469U82tyfV2Zgk6xi7A7eXViRGCiNu/GvDAsy1koPGlcPO38wrC8nyWch11cVLz2p1SBWZiFIlRDIYeN1054K2v6vL+21uESUAvkdQSyygmXbnKVX8mlXNm7IJ6ISYHo2XaCylycCdKopRxjC5lOlrClEqRyzVAtgB5JducMXm2SJdkqlhN5uWRe0UNSyZTSrIl/x6lBKEAkwwJYnHtYJD8A2vE/Wsy+KGjp5mZar7xwx//4g8MlxeYqTtGzAFbGtNQFLSL9GfFdVheJiyV6zX9siUGT8GdAUCWQCEpah7Kow0y5nZbkGSvSRmcvA2rwuJpN4ynquB24xTGmDvt2fTT9jZPZw0HcekeERLxF1+aILEBKs9elgPMoq8xczYqGpyxdj0j3XSoJAs2NQKPd722z5/eMWLFRAySGoNE4MXkLC6lRcYiLzpzduH4+ikprElRArkg0enoBpWCXFuUcXLFjdlzFYwue1ydN6nSCbXlOqGsViVvSsmBXkiV1QCvru0VkOc/L1ehFkwPgtDWGc71ibX9gY073vaVXvv055uT26oAFzYmjqJLPNvb7ZsOE3U/75WrjkgrGoOz4vbyUvMNFLf70hmTl+RJDvSx8sxci49pzgz05dkeSolCi6cVd5VhNymwtRKFk5Lbga7j3jUm25S5iwBTl9g78EIePyw5dLaGVR5KSnxp0ON1GiUBPu6iZPe808mIkl+dOQQeu7dEXHFxj68drBMpn0EsqEnwEouORSrfij2QnESRTi5U/mRZv4qSNCo6Z7KZkFqZfIakSqVfAe6sFsimZQIZk5OvHqIEbkQ2MWtt9l7rZrPmVYrAs2BvSs9T58V4rLQNoZfsntgUXRKFyedXMfjhU8s0GkNOzw9JjLPVZLl2Ir+SbOmPVAFtv+7HL3KX5XJLMQ70ErhVXvNd2G6FZBGue14U4HZBpsi7xXUOblkBeHn4j+u2Jwd2nq3MmTvB1y6x47qCIiwRf/mlBouLdUSgne9evgjHa1AKcqpYhFnzbbmOO/emjSKKNOtnJN/zui6PH55glNToK5964rR4Vs6qJCm4s7XCpJ54ORoqZZOzv5nOexwf1+AaWbIVyebPZb6teqrBZbbfUSZNZNEcMc7gY00rRbpvdaHduAoo1yxV4on0MTESrWMawTLKnsOWigtzgP/n930GKSUryysgdKqtREVnlyVK5XEMxC/I3un/FfJk7LEM6DKLV8aLFYwtywyuRInFM7kiUboKcF+nA4C8bOvANMOpLV6eijfp86Ry18p17jx/Aj5xd4uR9FFSpdnL6oU4nsFctSyXjmVVh4vc440TTZBovucNQ/7ozj5PH60TKY++lPiJSd0jgUxs6Ti585Y5Ge5m0r9V3beozOSJAZ1biG60tUpLAlRii2Gd+VwWkV/Q8Zged+ezXCxHickzkH+jtb7M3CXyzDV58b61rlgu6j7HmYMnKNuFGuDpg2e5+tLNjV/4lf+666ln5uiEzobO/mE5eCw3AlfZew0wl1+L8eertfcLSxSRA2d8HLIsMXYWZGZTm7TONnlNtbcaA3eWvveyxmTjZobkLWJZT2ec3iOUF3LojKYb+qB0Kk/sWHns+IVbPSDVgUZjXnjajVMkfjRNT7B365CnD4UkJmBgfGqJq9nWqQZXqZvgEksZHNyk1jLIoaj0zDrcdT7Y1L2XDUzVhrSDyCJNMSEgm66VZN39uQFQBJd54Dl2vjO0rGqYqLhMVWBVXRZyJi8zemwF80se0+qiXS+75acayein+irY6QB+/OQ55hdX3jA1s/7nev2n8bTL8KzF1OWrw46tMi8UUObvierPBO5CKgOhAHbRx6hKrKgqQzUzkFPUSKsSqPPnaZJHkXrhDtwOwMVQIK8sT8rsrdK+Tj9kqWv4f/6qxeKghgg8J0+krawqxeCcr685K9MEsjkxOYM7RyWONRMNzU9/V5cvPj7B4sgnlJqBlPhpD2Ux8iFl8HI9vTB5Ga3FpOA2acKu7KyIlMFtHqRnYFdSpAzuJFGSuyjkMqXQ4UU7YSFTssCzsAorx2ZslVsb4GNYHGN39/6QmZmpnxu2n74/igZ/DSmDH9q/j1rN59yZkwgbo5VfYe38j9rVf+jr3sZOcHWw4xhrU6S13Zy8cYlSHUyTA1sKpCrGj6kSqLWU6FSS6BzgmeY2eVDpaZOD29NZ/UWVvT0V4fshH/+Sx3NH6iA9pJQEWWlsydrM94hPv+QLVhNSsHm+U0VJpsRGpps8eVy1u8/bX9Xhj+6sYXTAQPoEUuRJHyUFUSmgG2dyUWbyctawVBNjFCjrVgVjhQN3NiUsHaZajJUoZtEUk2ldH6eQVXmSOysVDBSvv5nbavyVrMUU5FEUc/r0WbqDGkkyIgd4ra6o1TS1QOFpB6RKMnLsDwmbZltfCOTZlyi5Je7trDDfrhooU/GM88BSFGyeM+Q3ArgsAK5KNdQ6rUvxyKWIpwq3xCsNByo0t2NvT7upVcttw998ucVCO4Ba6p6IUjD2AhIFIapMXg7Sx227vKdVYpLMTdFMTyi+8zV9PvPAkMVeQKg0g0Sm9qRI3RtRNGPL8cSKSes63FsmZ/OiN1JnzopKn6djr006Djs77mWQi3TnvFxKpvLErc5lPS7G5IqoAlxYhH1htFvhirSqvbvp8xSLcSxJrHRsmbZG6gceP8TmjTM7P3XXQz/zwFNn8VBje5tXT8w3tAGzD5M9Z+xkl4BevYu1JUqWOKkAuzr7u9zh4oa7UwV3trNBxtyqxNyrGDwbN1GMnNDKZS6PHRccPFHDECCkzptzi+rBcvwgSq5G8eXLtShl9rG2nLIvHBVjXLCJ1Vy2I2T35iGL++vYxHcsnjiZoksuTsGe5UKvrF5IFnauTdncFj65kcXcyHJso9JdO0y6c0ee0JIFGeXgNiKdpZJpcjEmVcQYHmz+Yi3cidKzwv9e/W9qgWC6doRtG3f+zOSG73iyv/L8ce2LhCQcbpryzRuj3hITk0Exz9oWv32VJLGr/nr1A43p7fHHfFYIVZBX5YkoOROiFGwWgHYMTjoKuOyDl+/pltaqDO4SyNP96r20NDRjb5W+1jpCqYg7vtbi0EId/EKeeCXrsnLBsnpcxCpWytmz6uvmYzhKWjwMNRevD3nLTX0eeb4BxiNOnBb3kjS7m1SlUsGc5WApBbm1JYlSkisyfS7TVUVmd5FuS2PzccuJchseuPNic2IqEj7l5ylLl9rb8raXMri/gev0gm8IEMLj3PkekxuDN3oT0aZoJI7rwHPz6qYagk3TEu2JSiD5zbD2anRTYa4XtAezg0BVaxcyReRloOPAztlciVITbgnc6XzCYtsOVgNbFwOC8hFv2qQgj508URH1RsjXDij++stNBkMfGhotBZ6oSpPxz1/+zmsCnDH9PWYZln3xKNZMtjTvuHXInQ/0efiAj216DJIAX5BfaCr/+4UOLq2lOcjLOQsXfKYXmHJsnkinx02JtbOg3qTBpTSipL9FKdCtxlCF7i7iAveeyIFeBvcL8ObaOMwliiCMYDiss6nrMxkJRqFCR0nMKIwBQ7PuaKg8p3utPyDG3lvrw1TYehXAxyVKdaJpEVyKHDT5vDxV2r1BibQ2pQB3AfKsbNaidTFCWaebMGlVBbqXs7W7K+UCTN8PicKEOx9s8PzJBngeQqoUVOnckFJwKWT1pI67RvlJyf3ctKanlMk0tjSKo2QXhqHm8oti3vSKHk8drzOKfRLpMTAKP2Hss2ReOGMM7h7t2GdBZRebwSiByhIpUmAVSFvo8XxFlaSz4dNzY4pVQ44DfDwuYQz4/w2ZzgomS5ZhYgTdgWIUJSRJSByH6N/58B1YoRBRh8DXxMYBMNtU9ZtyS0oArgJ89fjdtZi7CuqMscsBZrEDQSFNSlZhztgZwIvJqblESZnbMbbNmVrnj8VzLw0utYoI/JBnTwg+/0CD/sCHpocUWeUgJXtwjSxm6XuWqSGrRcnopzpIfizhUyrACiOPVivkTTeP+My9Q546GoD2GRqJn2pxZVzTVVkaiIRcHpCMebuqIDOtKKSLdGyerSpZkG+sA7s0RaJNmLKbkp5zUzD7eI5jFcDHQD9Okl8P3NljXhsuNEvnHsSLHyeMDHpGLSGEIDQRPSHcEqcsspz3f2FMr8na+c8qX0ZUruA1WVyWwF7W3DnInd4uZzOVSisM04pC186VPtfl+eBj4E7vXjaFNi3w1yp2dx3heRGxTbj9/jr3PVuHmgbpGpq9UglvpTS2fC+/eCH2yYuHUkbPm8qdo5IYWQH6aOjx6qv6vOWVfZ47USOOPaxQDITGS8g/k0gKFi8+wtpMXh5ir1TG3I7N3WuBNCLX4bnfnzF6ttqmDJ4P7RwDdyXgrIC8cFXWAvYL4bxS/JeWHAgBR08lHD8bgrXoINAoKbA2yYqzkAjsN5FKXfUhMtYufdDxwBKKaasiX9LF2AEZA3ZFqpTT9KW7GgO3Kt11sQlqBmivBOrMOXGOiXtUKsL3Ip48LvnEl1qAD9JDCJV3Eal0I1U5xk7Z98lOjciPSTlqrzoq5fHS+T1xrXtuCq3K0/fWat712gH3PDjk0SNukkBkFP1EpAVfKeiSDDilOpAKPNJ4S61RjoGrz7fW7dyhpERlQXGmvWXK5sI95ufQlAZ2ytLFX0mAFZKkOF5fP9B8IW+lyG66W5wIZ+pbgz51wXXuWBMjjEWrVPh/Ew78WoFBwdyidIWm71GasjqmuwupItJkQWE9ZQDP5+SVQZ62phWbTbmdHYoB+AW4K6xdeswaazOpolSM58VEScxXHq7zzOE6eB5IF1z6wpYmx5YDK7EqsBqXJ9kJsaUneQNEqUakUl2YSIxKHZVEMwo9rtw95NU3OhYfJI7FR8JnaEAnogj8kswudIAqJIr7ANUsdcGISoJNV3JlcdlPKxBWYAVIKwqpUgoqC/ZOz6spX/ilue5r5EHcURrT4mLtY7gmHoXryZ2aiqjV3M7JWqa/0JT+UVk/jwsUUf2/nKFW24KZJZRdMGVpki1VVcekukfMWP2JIN97J9+9OGu+rTQ8FFuXKDUG7tJQ/Nw9UQlKlwCeShRfRxw6J/jInS1GkQcNL5Un5K1pqrxLcH7hFsevolfWIKMy0Msypbw5gLFraXFNM5D80Jv63H5fkwNn3MWXGEU/Ua7KMEmTPwinvxNRuBWllSSrNioDXNpCi8tUo0tjsdKdIyuFA7gpxUoZk5tyLLXGylbCWNmjL5PgCwN8bVDnuJNZjYtEuPUHdfsnf3vj7HTwf588eeoyk0XEZeYUY/ex9/LaEDEuKcb2qhz/Wfa+zMYBp4/peOAcuGP3bGRC2ePOH3Whu52DUgV3ea+eopgq3f1BR3kzg6dDEhnyR59t8Kefn4IgAFVDKU1DWerKpuMoyBucvVJrXJFJLSeiJMVkWCoBahFLFLZjdtEKSdr4W/RCKmkR1rB9U8iZBcljz/jEwk0eMEIhhCulXSvuWcWItsyNorKq5BdiqeguuxzsmMTKpRalSr+17uX/puQm5c3EVB/z5hpTklCV/EGplDv9HStdgT993abJzTd/QZ87v39qOFp482AwQEm/OupgjctnzQAgX15KWqpsAZWeFwmAsnsyVoNSZu1KHbitaG+Zg6GQJKqkvVW+00NpIyplxyRJVimYsXeEpyMOnpV87IuNdP6KY++8cz/7+4LKeGFZ+t7lQFOUX+QAGgOHKdeGFHMFs1nsSTq91ySKRKVaPNF87+v6fPorDfad9kCGWCEZJh6atF4kO9ZJCs8kS/xkUC1JpzQVbnGzsbLPJlMgSQvSOtmS6W5p3d+wJvXHTRqgVlbnKpuvKU1K75VxtvqiXAOPqaY3gnQryyFLnaU3d2M5pb/6hGFh3tDpW2amspnTaxcIjevy1ZbOOMCzD1eOpsdkSVnHyurzMsBdF0mmv0vPMyBn1W6ZBi+B201kNemjswOVMqjM71YxSsaoVJ4kKuaz9zfZd6jQ3lJI533nHTSseQIF469zbiyAVHlebUCueOKliVTaCFebIosUfhhpLr9kxNte2ePIxwLCRIHQJEIzEAKdpPZdRj5kjoqo8HEeAqf0aK1A2aLIw0r3GVWZdYUtUvwCjHTAN5lMKfngZbCXgbwK7GWyXCV5q6y66q2ULAFadcve7RETU0P07KSPiALWTfoEvlz1y6wtwLsma7/AlVa1g8a/4OpEwNrNDVXWzl5nrJ2BPWPuHOiqzOSF7lZZEJltcSKN246lNDjf8yKOnlP8109NMJQe2QStoms+XUHKNdBlPVmxA174Vhkpk3rhWQtbkbIva3BRqU9JjCZOPIIk5qdu6/FXX2lw5KwGFYHRRMJjIAQqKRwNWQ42x0CeefMW0NkFl74nrUvPW2zK2pknbipsbtO/Y6RA2GL1WG0mpMAvgbUMdtYA9wsqhzGzTyTQHyjmlwNi6uj10wphNOumNAZNkhQ71mZffawWrvrHyiwlyldiNZGTP0+r3NZiwDKwxRhrZ4mUKrhNIVFklcF1xd9OwVzxu0t36Vjc0yGd0PD+z0xwZi4ApVNrUKbyxFZ87/x5+btXWKqa6FoT6JQ1adZ4UO7RzFL4Mr/nzRBSkcSarbMj3vP2Lr/+EZ925AICayUjo5xtmGSfw0IiKBR2gZDi/91PVHoVpvObikdZOD5S2oLBbencpaRocwZ/gYCzBF6T4aqMoTGsrQXy/BJNNXpioDewTC8ZYtzGXfja0qxDlAjCyLUsFSAfY+7yFZaxc/nD5c9FdSkiBe0YGMaZOwN2wdrFlNacvdOC+wLQJSbXJmV0k0sTJ0dMSapkjB3nj1pF6CDik7cHvO8vJxgZz8kToXJ5kjcVj1liFd2dS7IxFngBFs9wVViFZdBnKXubbvJVKqVNXZXYaGo65ife2ePgCZ8PfdZpcVAkQjI0LuCUCTmDFwVY2ckqT0wo7EoH6kKyWJuyuSgKxRzpuFJXW0n8OBmT16WneDBlkqtgRlTxQwnoL7AoClG1NpMEwtjQH8REkXFTu7asHxGIiNMNy0qPYlOjfMRxUYGyCuCMfcDSh1ptBa2uTVhdmGPHJIotBZnpFt3lLQNV2XUwJamSgbnE5LKoDsx1d/7oZg0uLcNffbHB8igDtwO4J5321qIqTyqrTmaXrXVCSmemrLWzE1N1BsryhGLrRTNWJy6zPZI0caKZ9BNue32fT9/fYLGrQEZgFBFOj49XF46tyS/I5C4PVCSFsvqULNi0KYvngE59cmMZY2x3PhHCMTyplIHiglsDSxW5sgb+ytnMxFgSY+kNDHMrhlhZtFFdYtFnEBqiJLsySstY9scqJ670ARgDcBn0cjXYVwVk5banHDClERHSVrR3YaWtDiqz4TQFuJNKgJkFmdk+N7rE3l4j5vYv13j4mTqmpL1dU0MmT6r1JnlrVom9y55/2Qpfm8RT9swttEKijDdD2HLQaaXbeCD1xePEQ5uYl18V8tYb+vzJHT4o11hrhWBkNEo4Z1hmgaYoQD0uVzJr0FpnOmTMrmQho6wsFYpJV7tUYW7rLnhbwoDJSCxja5v9rLA0X5C5xWrcrTqawlm1QSCwOiaSIfozDwR0ljXnTySsn3K1B5l/XQFx6Zesel+MneA1GDyTKVlRfC5VxhhbiDH2FlVgFy5K+lpZdDpiTMrUMZE21dUlSZI5JrIkUaRzTwIv4shJyUdub3G+67v6YekGvStBsWPDWLywSneXfec12Hv8Vkn0lJh91VaL2dDJSte92z/HPbrtTzY2E374rT3ufybgyAUJIgIUBslQyNImUg5UGahF5SosZFL+/3k2Mz0PZTYX7nkG5ky2ZCux+1k2+12kejt9nvVmiuI55edlNgeyYUJZTUkZk1mBnu8J9u6QvPzGiNnZIVonPsSaMHSaRUm1uuRz/Ip6AXCXwV8GNILSElnV3dnSlR/4vL66xNwqA/wYyPMZ2ePPk1x7Zyyus3HAKkbJBJ3agr4fMUoMf/DxCe57vO5626R22ltK17Ujivkr+WfNVhbGjtUYk5dxXsb66gxm4VoUe7yXy2fLZbSu3cxkjkpiiKVGxZpXvzTkx9/V4Zf/wGcUS5eBMpI4dVWkEaXP5kBeGeFgXUsapc/nXotSbJB211uw0qYBpsgvgDzozC96W6lXESl7M46xMcyMk+q4Ri/Y3l0UWrg2xZov0baOTFroLesEvpUs1t0JLafHxzX0+LJRWVLGLoayAT9e/F6wYHmwzxrsXdp/Xq4lT6TNu73dttmmJFFKY38z3Z3OuM6DSxnj+TFfetTj0/c1GIUe1HWuvXP2zgNbKve1vP3K8SELONem73JhUzFVtQxucGPZS+xti3ni0jipkgE9jjX1Rsxtrx5w930D7nlUOdsQCUISCc0gW0XJWLAoyALHwnkpb2mVcRZhBur0c0pQ6ffLXttUmmRAz86vFQKTbz+YBp6ywFQZN7b0Htgqi+esbkvE6d5LhHNROn3J+aWAka2hLY7a6+k+7OURDbIE4HHG/sbZKLsGoFezuCjr7bK3LEuORaZ/8/3U3etce+eTUAtgazUGdFWAW6fg9r2IlZ7l9vsbHDhXc9JEuJJYkWlvQWmClF0F7vy7ldnk6wvvKs7TFHNmyY2nsHNwrxoOVNSoSKmQJkEaTTTS7NkU8dZX9Xh4n087TNOvxunxEEW2D4Qk9cYrZbTFmmNxyZ38gpTObVFpS1vB5plUSRM+Iq0hz4Eu8vNuKB0/WzD8ONCrAaddm2TTiyHT8Ma4YxUpB3QAPT2hEIlmZtKNNCuvqd9oiah+GFtl8fI9/RCZQ1NYbNVkSRFgFsAuwJ354EVwKfPB7LbC2JWAMkvklF0U6TrlDQl/fEed932qhRXa+d4V9qbQ3nKNz11e4SpkUHWcXoi9K5V8jOvvjMlXt7Jlm+4aYzCJxEjniytpiBIPqQw/8Y4+h896vO/TmiguQG4QjIREmWyQRKYVSiDPQZ3qCtwikMNfpCn9jM1JM5vC/U6brs42B3qW+U1zqKKkvUUR9BaxQek4rrF1+FrJn+y/i2JBHMcstROUZ9A7No1o10YMV2J6I00UV2fDVc7TGgw9ztxVYFezfBUGLweVpfcyjztj9mImXup9jzkmMgO3GpMnY3vWq3TvGafBIzw/4vB5yae/0qTX86CuVrN3XvNdWl1EkeCpSLKx5/CNkzwFg5dADyUtLiruiU2bDnKgy9JmvNJpcSk1UZTQasa849Y+d361zuFzaVLBDagmEYJBqlyFAGFScNsC7DYHdeqWkCZ/8gUnc1Ky1L1jb5WCtZAnVaDnAeHYKp8fu9x1WYu5s/7e1VMws9UkSWBhJWTqXEg3DtHKi5E6QsoEndYAZ0wy/ivGl4+1ggSx1ofOQJwHr2UGtBV5IvLZd4V7koM7Y25RHsyeOSemst2GLMkSKVPHJGVyrWNGkeHuh5p88Ym6Gw4uPQfwMfbOiryUEFSCYcpB1BiTl2TbN3PL2TxP3Zcq5UyaPcy373BbkTjdbQqZYiSJkKhEYoQiGmlef23I618+4NTnPEbG6fC0EooYzVCANKVtq4TIDews9aNyeGWOSlorLsiBb4UoyN66c2pFGnhWgF5kVE2e7Clm5QiBK+sV2ecpx3Mu/Z8vNmsQhbWWOHEXpap7eE0f/fyZPSsL54/dOTd/7h9OtTKvs1pnVqR6qixeBbldBepynXRVf2dgprR8ZaAvMXYO7AzoRdlo1Tmp6m+Vp9+T0vMYKV2njvRj7n3U5zc+PElideGcSIUQ0u0DJIq0fJXBy47P2uxdAffXA/pYsmc8ZV+WK4Zs6lVajCUKRyXX5NJ548Jo4tjg+wk//yMdDpzW3PuIxPgihaz7ApFRDCgLKluSJWtoclvgQ8qs4yfV5qLQ4SK9AAzFKAlbxgMUPvmqJohS130p4VNthFgD5Tarm7JcuqPJm2+cuPMl12xeUW941c6eTJaPNAJ+XBC5JtIyI2cadJUWtWMedqnyLwvG1OqCqXKRVJF6z+zAIhWvxqsDSwFlXlD1AuAuSxVdSei4XsvTS4Lf+Mgk9z/RdJvySNeOhvTQUlCXEEjSTa7s6trtyj2twMyH5FSHEWU171KNNUyXjlvxWpQuerv6uGZkUJoDKMalXvlnFtaviwm05eGnfVYGJf83DTOzKeJFxWEhBcSqq/ObWZZKxbgl6ZVqgKKTqfRvy1ap+4eiuP4rPxOV31lZ6dIEWZIYpPI5dGz5h79438EDes9FXZQS9AcJ5+cto6j0y9f4aqutwap0KTN1cYGURnmVpYkouyjlbTGq0kSuobmzHQbWvKtyYJmWwqbPEz/hI5+Z5K+/3MTWFAjl0Ck0QspKv2XR3/h1OubL7FOOhMYOXvltO3Z8xwHhnle77cc7fEw6P9CmzG2tKWpUhEQaRSI0cpBw22sGPH/U4zc/oAmDuAC4EFjjMSLtrsry64kzsS22AGXKoJY0u2lsjsU82MwYGcfmzh4sFoTs/DvnQ1RX+CTDT8ritvQxs+d55nM1QLOAfDiyLPVjjHCbAOjHDrktLBo+TARVEGfALi+74xZgIVPGxyGXQW7HJErZObGMj+CtgD3zu0UK8JL2rjC4TEpOShncCbJUe3LPIwEf/lyTYZJOwReZNZhmLYWtaO81U/NloI+tdhW5UgH72uyX7WaQec+rMprYVSW0VpYym7LkrAjlCrNkWpwlDYnRBJ7hR97S48GnfO55wtmFmTeOFBirGRnXjpYXkYxbhylScyklBIpMmpRAnjU9lDR39m8yoAoJ0toKSdj0eNmSREGIKsayoDOzF1+AJC7elrB+JiKKLXpuvoaxgrqfkExErr4/O4FrADpnbwrAIsj31FlTg2ep+bWckwzgZXuwDG5R7OylVulwU/XAx9lbJkWAqSP6I/jVD05y9EyA1cVuyRXtnUmkcWlWBjBrgDmHcHaQxpa8NUA+PpajmtEsF1+V9fjq2hQj04pDWWZxhUgMQmhkaLh4a8S/+tE2D/5sQHeYfhkj88+VoBlmGZasuNsUILcSMCmoLbnDotKA0kryklUrMh1uS0meUs4g+zdl0kuXuWqi0ObFa+X8ggN8efa4+5mSMNnSzE7WmWl5xIlFb5hdhxCKJOoRxUtoXfySjGWroHanIp9eOh5gll6XmwHKM6MLiVIavbumRDElH7zUl5iyec7cFdektDtv6nlrHREn8LufbPHE/przvGXG3IVz4omqLFGiytrleGScudPIifLQzbX4ehWTjzknRQMERTGTFbnGrFQbCsfgedBppAN5IjEivSepVDGG6y6L+OnvbvNfPj5FmKQsDnlUmKAYmUyLp7n2EshziSJKWU4h0q0mS2wuQZiCuWU6ZdbaQraMH1ObyxKRJ4EoMXsWUxRWYXEOygOGtIJGY4qJyQmiKEG/87Y3U6s3OHH0OR5+4C4EfgXc2VUHtqI/q9Hu+M/HppxW5ElZe5c3MKrKkkKmVPdnLNg7KXR5OalTuaeBZS3hCw8FfOiTLdoDz3mAqedN2qTrnJMia1ku5VWVz71af+cHuxKWify1GAf0GGuvwnsF6LbkrJRZO50Km0mSchJIOBsxkQppjatXiRUTNcOPvbPPY88F3P01BY04Zer0E0pBbCRDspiiALnFlcaS25bO805jVVfWm0kYk8mNQr5kq7cFpK1aq/k0YgnCllWAKEmS9G6rMkWSNkukq1y7O+Kii6/mumuvptvtoes1qNcEge/2GgeBkKaStSuzcM7momrdyGxJWUN/V5M5Jb2dDU0vy5KSJClkSrHDrgN4UvW7pbMCZb6vugsspYyROmb/cc1//cQEhxd9d4mnfrd7lAV7l+pwKiBfS55UpMnYtKbVaqSqUla5C2UWLxIreSMEa6Xxx4YEZYVY1uSbyopMqgiLkBoZWXbPxPzU93Q5fl5z6IzA6rLAEiA9khTkjIE8i/hULr1Sv5tsw2CRB5pZwVTO4mPSxcGlPCfHwa8a39gC3OlVIMbxlx1/W3wGIwr5qZe7mshoLix5LCxrNs5W7bzVHveYbCkxdrX+ZIy5ZRnohTypMHcqVVQqQwomL+luZdLX48mcAuhKJUgZ4wcx59uCX/3ABJ/+UgPrqSIdn0qTtdhblS7A1c5JNbgeT+pUdWIJ1KV/U2HtMbBn762uSSnr8AzQ5QA06/yRaVFT9jwNPhPXwuVJ56q0R5Kfe6/iwoqAoEy3AovOmbyQJ+mFlj2mrK0kWJPKl9xNEWmQWWVyIZ1bYksNLrYsS1JpYkvHuKwQysyeHetCArna+XWTio3TiumWRCORjZqm2aydn2zpz2/fOo2WcTqksuw9l1PmRUq9nDaXa7zO31PFxqGy/HNhKr+n4pCowhrM606yisExz1tmwaSK0+eu1iTE8NkH6nzhkUZaa5JZgjJl8Iy9i12Dy/MGy2yyqiy2pMXLF/s4c+fgXyP7VpYrq2eHpHu1mzLIC+bOOn0yPZ6YLPFTSu1bibEqfc89j2ONsJI33DDkba/o44sY4hhMdo/Axi4raGFoYGQEoYHICGILcT6kH+J0j83YOHex2Iow3a0iDYqTNCubPxrXYub6T216L+/bWf19xSgN0t2ZXfdOnECcQJRYRqME7U/SG/J5ZHA+SiTqve/9Ld7xtlesKMmKFOE/igbnqddEnnSpdLdnrJZnFosU/HgyIgf12H9TjHxY4wIpl8FWrEBbgHuMucsd8ToFt9YxiTR85r46/+4PJzl2PkibGIqEDlIjpCCQUJNukL1Ox8Bls8WLZE4xGs7Zh8Vg/nzKrSAvN3YD4qtD+l1BvhxLiFE9dmOlyuNVluXVsdz95KYU2FzHjv/bSpwgAGOZmUi4/JKYU3OKQye1S/jkV2NxtWYOSDH+YvzfjF/J4xd5+ntWL1pV/7/8Mzv2S8oVjVSJwCV33EUwDCMuuXgH01OT/2zfvkMPve61t7g9eur+EKUMk40hTIVIKYhixwrlP14wmClZOtUNh0Qp7V5UitmqRFkrsBRje6BnMkUVroksSZEM3LIUUGaWoOclHFuQfOhTTQ4cCaClcklCps/ylHypz5Jxj561O+ZLwWZ+ykU1oBRrMnnhoqyV7HGsbcYSPoWLIvMTXE3fSwHGuF2HM29cZMye1hMIYdzUK+u88WhkuWx3xI/c1uWRZ3yOz5eWqjzodDIkRjAULrgkHeFmTbkOpdDleY1KVfW4dL1MS0BscRHmMgYKnzzDVZ7sEcXPynUjeb2OJU4Eg6FloR2z1A4ZDiMg3YRqx849SNWkP73CYrDCSmeSTq9WHODSCSt74FAOIsccE6pAz4LLTI9X9jYvbQ+dAVvkwWWmxw1F4VRJluTvpeytEpa6gt/+0wm+8kStqBLMMpYpuJUk3aG4PAa50HmqBOa1bMG1gD9ugX+zt3J3faWqsMJYaVrbOECZdDagFSXwlzKdUliMsAjjjrMRyr0Wyl1GwpD0Da+5dsQ/eXeHf//BKZYHGbBTxBmRglwTS5E7KBnIMQ7IZIBPySL7jPmeV1mJS3pBiPQiKHf42LFjnAeftoynMqEUvztOYGVgOd+VvH7jdl567dWsdPoFwFtTm/Dr2+/+r392x28szs/+3I27DRONdElKRz2Mb8VcBvG4YyIoMfg4e7/A69w5EQWb56ydAVwl6c9Kfneahs/Yeygtf/CpFh/4ZItu4qXZSlVxTdzsvsI5qRRVlS7i8exlhanXBLNFCFm8/CaQPt5dX3ZRVtVylOzC8satsjTyLWNuIwXCSHd8bapZ09hDCENiFMSWlhfx4+/scmFR8Tt/OsEgW5pNxuZUQG7TASaZirBpkKnT7hhr0rES6b/Nkz0U9mGW/MncFFlmb8YCTUE1VZ8Ra2bqpAd687qEd75BcO2Vp3/jZS/9/rsPHTmbLUIQNC7i53/p1/vLc9Ex386w3K4xCt3SJjMZkWvpcm/keOFU2mmTOx7lAHO1vy0rrWUFY5ctQJkxdAXc7r8tM7eUMXiG5494/PndDTpROhmTDNiZ7y0RpNIkv5e+Yxo3rJmpLOvY7FGsfp/Sf/PNIL1oVxuzDLNAMx9OWb4ISk3Jee+mrL7OR01k7yls2t5mrMIaRRwpWtry/W/ocfmlI2SSBps2BpOUHhOscYHnyOKCTiuIjNtlOC4HnKuCzVKwWHnMdndOg88skLTFvyn/++znRTbXHY/Ag+m6xhfr6S2bY3/5p7/Rv+ySrQWDA7znh78Tz6txaN/9XDj1CErJHNzVIGVchlSZ20kQsyprWU302FyWlO3BQoebEquXwC5KWcqxVLz2Ep4+6vHTvz7NM4cCrCcLWZIzuCzZgjYf5DO+U8Na1uBaMqWS2CkFYiVq+ebkyniQVQb5KrvQVc65eg8HXGkLyWKEC3CNlY75rMVYmf4bNyFLGOeNJ1i3MoeWay6J+L2fW+HH/4PgmcNpcCKzDyOK5SRjchzY/JJ9aLKWtlSiZKui88eLOpbs12ZavKhZsVXGJmPtNFlUYvRyEZYRlsV2jKzv5qqX3UJ/MAR+vgrwTRsm8LwGw2WQgx6GOkkiU6YqVwy+ELALX3v8IiiSO7b6fA2gyzFZkgWVIvO+VQFsmSZ0tGfoWsnvf6rJk/sCElVibVHUm0DJFqyAulzRWLDy+NzBVWMhKmAvWL0SYH4dhI+7B2WE23KfZuX9MrPbVZJFpuydbSZgs8ymSENYIdPzJZ0eN5YEgxaW6y4f8b++o8fP/xePbizAg7yIJGumRIBRJEIQZm1sRrhMTvpocc3IWUI/lzUpiG2JQDLAO1lS2naQEqgp3cfAjYUwhk7f0Al9GhMzJKKfH9cc4PWaQNf04UEij/RivbuuY6T0ipOWJ3iqCZy1WDpn8vy9caYeB3kqaYTJn7ugMykBPknrURLH5CJGiQTtJfQNfOjTTT7xhSajDMxjzI1wFl1eUPUC7F3NpK3hnlAc7SLYEflxWo3sbyRPxtm7BAyo6HAD+SjjqjdeAN6BW+asLqzT4kYahJUu1W2te27SoNNaksTiC8v3vL7PvhOaD32qRS/CHbBUh+ePKYQTI4tAMk3VuxoZB2QlslqVAtTjSaBybYoDerULSIwxdyV1nx632Fi2b6+xeXNwJKF+2Ig4P6ZZmx3/7lf/Cxftfc2Rc0tTGy7MDW5Vtks9KG3TLEuZx9zTpvrzso7NG4OpavBKvUla/qrKFYJ2DQ1eFFZJUViDWsf0Ivjg3zT5Dx+Y5MKSX+rOybKV2WuJFq6Rwa80MmQp+nLzRRZXjKXtZXUvyPEtViqbBMhs94OxjQOyfytXS6FyE4QoqlnzgTnj9T3jAXBRK2MLwFTiBLtaWpK+n5YETE0kvOyKkE5f8NwRTRiL0i/JNENxlVtnGrt6kMrFXGi0bMWp/mysMYLSSpX9d7a6s3Fl1UsfpYBGYHjLq7bwju/Y+btJ//D79+69YTWDA+zd3kDp+h3nCN6ujXetkqEb+pJ/VpsGnqvlSYXRSyn4Qr4UrC3G3BI5xtxSjAWYmS0oSuWvKkHWLH99R4Nfe/8E55c88NUa7F3NWLrNW6sD7CueN7yA91343JXzXTllY2/+N97KSYzsjUyqwDhzl4ZkGptOlRJuG21RBKbCFp64EBlrkz5mcsWxOEYThZbN0wm/+GMdFjuSj97eglq6dKxicnczSCKcS+KLUtFVmonNGJyUvd2g+oKtiyKskl2Y7e2TSZf051l6P/PBjYVGzeP8QvDk2cWNd3R7g8oxrQD81te8lie/8i/vv2QbjyrTvzaKI0ahR5wU32a8eUGMyRBBCdw505hCmsiSNBGmIlEqwBblALMKbikTVGA4fFrzJ7c3OTfvO797FbDdHoMi1dyZc6LTxMR4p065Ebqi+xh/4QBfdlDKpPVN2YPf6Oelwqtsb8pVvZuUNHnmPWfAznS4cduBSOGalQtpUgSbrqs+88cVcWjZvD7h3f+gz4NP+Rw540OQfjFj1wS5xSWEMq8+GzeRAV2lkivfPcek9mGuvVllG+ZavXJoU9Sn5QG9EawMNfJw/9En3vvZ+//6j/9N5TjK8QPbnN7IxMxmji9bItvFzYBO+SlbQssSI5cV4+WtVX9blXR25d+VJ1Bld1EEl3JMliiZoH3DkbOaf/17U3zpsZrTHRWvu+x9O887GwOhx1LhQryAVCj/m7wDvKrFM9bOsm3j18G4ds+CqnGXJDt1lTkpdvyxsAzL9mAxO6X6s3JRlsXVhViT2YjpqIms/c1It02KddNqjVGYoeB1LxvyKz/d5uKtIUTOKsQmuW2Y16/YJA+IMxtxaAQjk9qIxtWvxGP1K7mFmN3HbUNTtQtNKScghXW/S4dccqnl0j3buXTPtlVEocffsK23oz0d3v5QxOb6Pq7fU6PmG3yvyDaKjH1lIVPcaNxqYFkJLlkjwJSm5KKkrC3cewW4C6kiZYzyDMfnNP/m9yf5xN0NQpHuRiXK/ZUFuCWOvYs67zW2364kq8Z0awmcjAG3wujfiLjLPxyj7wzwmXOwqlg8S/7kjkq1TtxdLDZl8SyzWTRCSJNqZVEkf5ytKNOsaBHFZpIlNpaajnnXd/RJDPzS705yYi51ViAT3WuweXoxpcEjaW+noXBWsq6gvBNf2oKx04u5zOglRQI2XY0VNOtwyyWaH3z7JnZe+YbQmoT//K+/AcBRm2hNN3/2wwINDgAALLtJREFUO2687Irjh5Zf0+l1CLwUlKqw9DLwwhouSkmC5L44Y4AfA7b7WZK/zqzBShpeJ5yY9/j535nkk/c0CGW69ZpY617OWJaG16cHcU1pQjmAG3NMKoCvsvUq2v5b3MZxXclojjO6zRjf5gVHYoy9s/dESYtn9mEBcpnWeTsgmRTcWUNxHIOnE77/TQO0gl/4nSlOzPmkc5irF6GxTjin2WKDIMQxrycFXuW7pME5NpUraacPWflsdrFX/fEsxMl2jGj4lpY/zche8+UN63f8LLRXHddVEmXPzhYn932xs3t748DF20Qy2YrxvXQH4HLJag7EcnBYrhkp0u0ZsFVZZ4sxl6QEbpmD2xSZSpVwdknxi787ySfvXgPcq2xBd9A8We3SWYu9MzCXK/lgDQ+2BOg1/IIcKKL65jeF7vEAc9wXL94U+bZ5mQTJi46oDtHP5hqWt+mzpprptKbYGiWbWGuNcjLFKOJYohP4nu8Y8O9+us3mdVEhUUpZzuKeSRaTS5bQQGgEYSZZcllSkiilrGdeMmszSSPyktwocTuRjGLoDCznlkiWe8GB2z93d0eIqVWHVq91vIUAaZd/+rJd8Y393uA6UZEmRSAJ45ZVIUXG3ZPC93YSRIiqayJK4JZjzK2UIfYE7/9Mi0/c1SBUZUDrsccSuMXqjOW47q7q6gKga42HKPvfa+nr3CYT4r8V36utsEpSp9y2Zitp/aw+3DFeebdkV8xUcVJKvriTJi5eIy3IynzyJP3Fwo22RSSgSXjXm/ocOKb5jQ9NEENhMo8FnNXvJonTCy+R6T6aNnVSUomSJ9ss6cSADINFZjMr2RXC+d5RLOiFknq/8fS5+e5Pb55trfn31wT4dTe8nsXjf5BYu90unj1BkjjBldU/5ASV24TZebWrNHgZyEKULMGUoYWosrqQCaoUVEplQAs+f3+Nj32+wUiqlGrLgC6xN4U0KfbVKQGaMtALv7iy344YAznFd14V0WeMkB2PMWR/I6DbsX9YkSmMpeopgz67CMqjJkRePipEBuispLbE6iXgu0fXDUR6lp2sVukZV+ku2JZAGL7vjX0e2ae564FGqrGzFL4tntvsuSLLVRoce7sWUIEHJW3u3BUJyNRdcaDOtjspjoz7rpIEUErx6ksvtc+eiZP3/PAbv3mAA7Rm34wx/Y+Z4TN7RXyi2R/WiGLtljAK4Z8dFMTaAJdlHS5KQK/IlSJjKUTJOdEGoeFv7qvxs78zxfNHg7RheA1glwNLkWUrxwPLMoOPtaPlscR4UFlNsozrlkrqfgzU3xDcY2nM1fJEFB445cByzBPPOthtlenLj1VAA0bmCR6DQJCxunTBprAYo9zKIHBNvQlcvTviP/8fbf6Fgtvvazh05kyeLgnClp6r9AC5zVMi0p2JcWyuyUYyp9+BYseIyvFLy4VjC/1EMBgmXLF7Q+8HvvPl/297Xx5mR1Wn/Z5zqu6+dXe6O+n0knQWQkggkAAJmEhAEFEUHAQeB7dR3B2UETdcGJ1R+ZwZXMFxHvEb+HweGeEzihsiDLIIEnZC9q2zkvS+33ur6pzvj1On6pyq251OyCJ883ue2/dW1blVt+99z6/e33ruKuRSuOVztb/jCW4sQCI7Szzz0gvffWH/6b2/+DMDZY7WcyQeaQwBKgJviB6siXLuKLgJ8QJwMyKb+BAL+NUjaXzu+wVs2OmDO+brNqkJob5RCW1lBsW/EQX1JHSjllcF8YcuJPJiUl+3mGR/JEdFeUr07ShfN0L2QIx7B8ug6Hxc596+G9FwH6rj/opunDPwKsXJHQ5u/vgQ3rJyTPr8OI/w8IkeMhXQ40DVdyfKjEQCx+frrspOFERzG8ptR/F4wfG2Ff24/m/benfvfua7p8xtmfCrnlCDA4CwlsHBEHbt34Dh0X1IJyUY1a1OfbkB9zbchKFxGbzWChh0akICDe7TE8YBC/jVo2l84QcFvLR9InDTUJP7mtYOqEm8eY+qwomWgE0Kdh2zEReifjCmrQ+Dh0fbVQfaWjse5qVIrR5ECg1tLkKPCqmlzVWWIY9xc/jZh/CDQVzj5pKjhFkyqAKLZjv4+seGIATwm6gmrymKjEiNLjt0yc9tEcDyjWfme1ZUVFNhLFiMCwT1CYGz5zfi0pULkc0VJ7vo5ACf2TyjMp4e+XDzBS0/z6W6spbtwfXCdRolu9IBLmqAOnQJmqBW7kFdy3sgVHLu3/45hc9/r4D1OxO1wY2I9vbrIs3qeMm5AyMGpvaOURLDYIyAOQp2mIUPagaYm4eGuAo7x+gJQuAGTuDAdajTD52jhx6VUMsLg4sTooFduQ2Vd8V3bAf/A5WFEqAAEQweV34iAFWBxbMd3PyJIXAB/O7P6dAvHv8vIwdkn3LBCVwSUhb5v8p/Vv3b6rN4fvDI4QKuI7Crd87o/t7UhxdOb69M9v3SyQ42FHr5vHkda+vbVg099JKHqjOCpO0G5VNKhxs+bhoGgYICYeUdMfK6VcqrZ2huYRH87okUbvhOAeu3+31MaobgTXBTEgZ0dHdgPM87WsAbGpvRjMGg30kAdrPzroJyAPiJeEtkX4SFaAdIcDBWiIsIFdEMz2AycF2bk0DjRSOcelW+URCh0ZWwzwoL6IrwX3tcdsziVeCUWQ6+9fdDuHhFGczz4nTFr9IPt/Xop/zAXACOABzIZ08QeNHJDoKqK5BPDuGNy/txzTtWDDU0dazd3tXDjxjgVqoJzC71/H4tu+LZfRc4T28ToITA9VigwQNQ6BHOSMIU0YI3ph/cD7/7mlswggefSuL6fytgQ1fCT56Ss11v9aCMSUVRCKD1NtGrdGqUnenaG7U1uQny+L4Au5Fx+v7DFRF5BPu1nbEAJzSfd+DlMvsXBrWcmtYWXOfh5sMEOg25uAZywZnvM2fgVYKFHQ5u+dQgzjuzDMY1kHMXh+TlPvcIQO4/VBoCIH/TJBOwhcDpHX348kcWOmeeOnxFc2OhZ1Z706Tf66QATydT+PNz27FqafvehXMXb//t4ydhc1cJ5UoSnMt+dsS3mg1w64YkiYM6eFYPX3Pf/2QSn/hWEZu7EgjaTJEJjEoosMOkJohW5+jRy1raeyLKEm+7VhPQOvCjMyAcckhw1wrfBxFLRPm26pOt9ddWwR5Da/sN8/0JEIAeYZBIvkcZlCoYRCOGqanJA8BzBu5RiCrB/HYH3//0IC44y9fkXjR3hYelcDGgyw8uBOAhfKhsAIsKFG2O+U0e3ndJA+bPWrIdbN5eOOvBaPLIAQ4ACZvi2bVPdtUlybUrzzgbXftzqDhWaFxqhQshuE2vSTSPW0YqPTDCwRIC3CJ4YG0Sn/zXIjbvTkDU5NwRLU5NcDNSu583iQIa5j4jPzqC0ZrGZkSTm+A1C7Pl8YnhLWIv/E1NjesUJLyCCIHPIzQFmtbWJka0cWcIcgqzPXPoRRFBdFOBnQX7Q8AzqdkrBPPbHHz7+kGsPqsM6vlhRzGBNudazadw/QkQanLXpyrc/5JTtkBbyUMutxIHewrXvvj0C12HsGoBHMLIBIAzF81GtTwGO5ne37XVfmTf1udWFjO9SKU8CMED7a0nRTHdiKRCGo9EBEZkYGwmBXb1Wnj8uQRu+vc8NnclIBKT+LiV1qZhIlVATYBYdc6ENAW6cVzDLajtC1CsRTODppo6XdEmB9GDYYi/ngjsgSb3T2RELUkIfN3AlAYq0cYIzS+uRToDT4wIQ/hUcXdlYEo3a5gCINNuBaXgHAA4CAu9LpC7APjKw+FY0OHgu9cP4is/4vjLs0ns6gWQqDWTlWnJtP+eAZyBU8nBXQJwj6DiEVSqAs0NBaQKJz3S2rlif91oGSSRPiTAD6nBASCRymC45+GtjdMS3+3obMVotRtlZ0S2SlMuQaM/iWY80rCdmtTsruTjSYHN+2x89dY8/v5bRWzadQhw625B36BjAbCF1vLBbHusJ1cpUE7FexLT9jXzTIjhZYmp9ej+WsCOBnsiUIgao4a21lNkEQJaThQzH4Vz04fORZSHK40dVuMLjX8LLVdF5anwCTT5Se0OvnfDIL70sSHMm+kAFV2Te5H8FVd7aL5y+Km3EGDJMSDRj5MWzQfs3Hd//tu/bM3lDg1uYAoaXEl+WiuA0tpdB7vX/Oyxg5elxGZcfT5FNkUC7h025DHdgYRwGS9TFTxJYOs+C1+9LY977k+j7FEgeShw630F5bw3ltkmNbIFEfeSTLTPTH8NgRrsrhGDD6kLwSFV9GFIDNSxyKTpIzbdiT6A4aegBppd7YeWeShzVgjC83NBQFW+SJDz6rsSfeoSlMXrOSjKl0EA6nI013u45s3jSCaAf/xBHtv2+T8YgfZG330oGIKYPAUgbBBBkACQS3u4atUgLlgxE5nGWWuam+atbaz2Tfm7nDLACZmDex/e3TV9xkXXjY7tZZblXdrT3wd72ijSKUcrJXN9ji00cCstD1CbYNteCzf9MI97/phBGeSwwa1cgtKg1HJLqEZHEKEb6pnC4NVR/q3WcKxVYBzj5FGKQjTATxXJsaGSYxtaWQNz9FlVxATaWwV4dAqizsXhry3vUxYFapWMHQSJVLdaLkP4NAzhUwqfrmifXQe5nx8uyhxJi+OKC8YAIXDTbQVs32cDtgI1fFD7FZ3E75oP4WubBLK2QGtWYEa+BXNb5tx78tJl1wFduwhZMGWAT4miKLl0VRvS48/s+sg7l61bcVorXH89I5s5SCWqSKcqSCYrSCSqsJgTVL5LVyFAkwQ7D1r4ym153P2HDMrC73gZAzc1H2EfZ1ACc4ltmNpbr7EMctMj4FTaQo1D7Hgc3DFaYkz+CD4PU5sr7m3w8Miz3gELGjXRj8e60wrzfFG/eEBTIp1que9FCT0vyldu0hWDtuh0RbkRXYI0BK68cBw3fXQIHc2OzJ3lUWPTAXGqINUKSLUMOBUI7kqW7nkYrrSiwl637skntx4WuIHD0OBK2mZOR67YejNxNnVa1U1XFXJ7kUiP4eVujpf7ABCKTIqgvdVDKStTLQWROQTPPJ/AbXdn8PP7M6gSv/J3KuDWUMOg8kziPQWjPb1jpWgIQRzL+9ZfayA3NHJEe0cNTR3jhysBEA2NrTwmGriJ5kJUPJwIg18Lf0CwfjwQtFwIu7ISsKDviipehmy5pvVYEZC1nBRCanw9KxEqZYP65xHgYKHhSQHP5UhaAle9YRzgwK13Z/HsRhsVv/6McIJSRqCtzUMmKf/BfX0JdB90MOKmgcYGNM1ovevUxYtu3rJ9z2F/r0fEHPdsuRczW1sz//ofP7qvu3fP6wRcPPa8jZc2ydywYs7D6rPL+MQ7RnH6SQ7GPYI7703jyz/MYWDYggMCs093JK9EpyWBexBhbaWvvYNiBhqJXGp9T/QWDUYrZ6KtT0lUrSkJ3k/043q7CCqbvhO1n8Bvj6zGqbbJso2EbJtMgjbL6lzRtTIpQ3Bt1YqDMf3zCn8bRhuOWOuOYOGuSJu9yD59JQ29njas2KrdHzKwoyKFK0RVYVFpb5mJdLI9iAOCwRGGL96Ww09/ncG4Byw5ycHH3zGG888qo5iTE2vdpgQefS4FsARyhfZHC8WPvNF194xd+65Ljg/AAeDnv38aHucPfP2WNeev29kDwVwI4t92vApI2cWZJ5fx7RuG8OxWCzf+MIeBIZXLHdXaZHKvSQ1wWyRcDY0RrQWytm2AOQC+ai+nASp4JpFtNU7uJ9oEoH7mIiM6cNVqXxrAg17hJsD1PuHBZ6MmwKP9WQJAB2DVFibQAU6BsP2dCM6hCldiS8UEDgKzGWrYiKlGotwhQB7kGWlBPVCAMoq+YYobb8vh+a0WbrlhGGctqMAbY3A9W6boEgruWSjzVhTa3vsgQC9IZFceEU4Pm6IoOf+s+eCcP9l91bIV/7Hmj+mXdidACOB5jrxdJTz09VE8u8HG/300geEBpkUn9cehwR0YlUQzKmkkYglhcm8I07j09wXcW+2fwnNNLh5smzoiqjHIhEdMMXNNanhJfLaiHwM0Tq76hSiPCAmjnDLD0Cc8NTwrYbsJVfSr+oxTUM7leWgYQELA732fOEID1OOSRurOFtlxi4NCgIOjUAAuX10BbKCh3gOqBK5nY7ySgesmAHDsPJBD/fRLxgvWaU8aHXuPF8Ab6vNwyqM3vvtvzhXdfc9+6uDd3amEbaN3LIHRchnLF1bwlQ8OYOVpVbRM9/DixgQOjvp82gD4ZP5u+SXVyu2mkSCO0bhH86jEUmG11zrugtB81DOCGiH76JdR08ic+s1RORRqelW0bEIT2ArI+tvCNFshIu+Ngtr3qASBHipLxAIuT6BxbsnZ5SAOCn9lZRBQoWArjxPfi0LVjwcAXIBSBiE8EAj0DBF8/+40HngihR07LHzlA0NYOp+iUslgcCQHLsroKXeW57Sc/+2Km/5iPjt5OH4yOXSscxL52j99XfD6pY+UqznWUSdWZDDKhsc9LJjVj5s/1IsLllVhM4H6Oo61GxPYtisBoQqF9RUXYuCWKFGaO0Gk8g+oiaa5WVSTE+0Wr1ONGnSFaGOITznMfZKWBPt9zk00OqPciopvy7tD+Fqtm0mNbcQf+oQ07jzE3E8QZjmq6wKxu5XcL4KJi1rnRnRfJHtScxfpY4O5rFnmob4g4XuDJ7VstwAsgT+tTeG2u/IYGLWxbV8Km/cmMa+dI8nyWL+9AS6ZXV22qOnmutTGr6UKy128AjliDa5k2exEtVho/Ob2Xby6OTPy1UXzu+nqpR5On5NGeYTCsiooFDy0NnmgkKt+TVZuph4UqguVmdcdKzeDFrDxwV0rWhmNXBo/Wq0fvIb2138w6JsaFgwFPBUlrmntidJoDVpSg6IEmlnlCAgCLjgICVtPBEEfPUGLaPnk8LU6CVsjq6ZPRk4Lp7LohSg3pfSXg1KfksjVlpUmhxziFzRLbb/nIMXQEANSNkBTeGxTPb54exXnnULRVExylmv96o6D8/5tZHt/9ZXi88jJjS9XXvl2bO91xhP1c9Y0tS4WKSuN+uw09A+XUK6m4HELwiGoOhQiAHdEe1OdlpCAZlgk7GcSrILmO8/CfBOVPo/A5x04FqN8nEwAYG0bCPfrGgyBZqpNcaKvp05Q4qLneZvV9mbDyqCqSvN3G5mGBqj1vPBoqF810VQ+cT2sb/Lt0FceCfUHK7mF5W8qpVZvug9BZZ8dmwDEArHTKGZSGOotoDyWxKpzThYrljWvaarrHn/9+W97pfB85RocAOobZmKM1G05OZ/9KGaS24ZGH6MNJfkPU0rw9HobDz2VhMd8cBsLQpmuQAXeYIEoPfyu1VSqbSNbEJOAFxGNrICobvnaNoxjcV4e3Yr5woOJoB2PGoaa1g5eEMQ0unqOanGdWxPfwS21asjL9f6GBmhJyNM58bW7v2SJimpSDj8SKoKAjzIaQVTuCveDl1Izyz7gcqU5DmEYnvJtAtThWL2siiUnO3hiAwUhFIwI1GcFzliynE9vnffRaS3FLeCjRwOar1yDA8BVFy/G6vmV6uqLlv14YWf1H2bOtGDbQ34vFWBvt4W+/iTAEgBNwGhMrzIE/d/MbFBv9u+OPuu5JfoCUjFgAxNSEAOQOs2Y4JgO6FiSVez11EVMtt/Q4hp4a+yT26FW1iOkQUGypnmDqChqaPUa0c5oaq1e66kXTKiIqOfJxCyPW3A9G65rob4kMLPJkatPcIHBSgUkV49tB+1/aG5Z/uOt21JVws48GtA8OgAHgFmz52DswH5vWsfl27rFxcNdPdMhODA0Aty6Jo9hkQZYCqBJCfJAi5PAAFKUxCbQQvCRFdCCh168ICbhzjXK0RQUo9wcobbVvSemxje1di2mctgiar4MNoJ+NIEbUKck4ViDw/sbsl5YAVkHsT5RtCJynbJEKIxZDmfmj+sZiSqs7wlZ3uZyuQCt49qouikkRRIfedsosnkPcAVevziJf75u2fD1175pW2/vPm/e3M6jBcujB3AAAMtAuO69C08672OtHVf3uaIRv3zUwrquImDnwOwUKLNBtMQplfZqaw8GP4ChaAdEzOcdzS+JVehMYizW8hwAcdDW0uLGtjG4tuafiuiaWG6TmFZW48LtSKWP0tZGPgpC4OsUBagJXM5Njh7V7jym+WtpfR3oKt2WweUWHCeBSjWFciWDk9sJLj17CPObC3jf5W/tW3raeR/r76/eWypMLQ12qnJUOLiSGY0lAAB3Bu5sKK20uvf03Xzfcw80jlct1GdsECJTgytC5vpSSI1N4Hc38gHNNGMxKDODeggzK1Dj6EAUyGZBw+QuL5Oe1OLfiG7XAHoM15MAXTWajB+IvK8GPw+8KRE/ucpfMbW0v2SI/KNpbRFmHRKVNqtyVfxLCUiDkfr9rYiaLP6F/W1VXkYQXifstCAngccpXI9hHGmkUwzvenMOK1au7L74gtd9tnfYubO1dfL6yiORowpwJdQuYcP2vp8wdgmd1uh8o7P+ycYU8zBUIegZZ1BLv6gqHJ1ORLu/ksiz0fYBkWQqQzuLGC2JcnNlBkZdiCSK1gi3IQjHGPg8GnwlAuIguSoyRijjUDuugkXC/y7VKaLGJgEJopdG/xQ/0qs0PyckCP7IPHFldMJvqo+ABtGa/4rvi/c/sOAMY+MZDI/ZSNgZnLV4affFHWd/Hhj4CSHTjwUUX1mgZzL5wXduxsJTz3m2sZDoLiYrqzLWSLpYENg74GKkQmEzgqS/RryxDg7053hXWCNBaoIVGowgTq1t/w5A9SAK1SdJmC+igibhdhiwCScU0Y4RLRBTK8BD4pNRN3q1yQpt4k32DP/64fhJ2l3UcHfqEzpqTBt3NXVubRtETSYSTj5oVMa/Xsp2MOZwPLelhL0HskhmOvvSuVk3DPbu+Uld4zIcKzm6HDwiH/m7tyKbLN+xZFH7Jy5aOWv4/ZcM410XHgCjDiwCpBiQIEIuyRjw7ThfNtocT6SxFUhp3LAEzB8qZkROQE+iP7gGhRqOk9quxkOKnuet7xbxMTE+Db0JJxBU2asxylcePR68jpa8mbnhcb+5aZTqKbvhR5U+ckVHXFfmhgu4+D8PAD/4JUHfeNuwsDo+sWe/uGP2yZcdSwgeG4qiy5zWJK84xbsa8q47Ntr4nxt/P5CyCEXJFkgxDlcQVL1IcAMINQZMsOtcHIgAHBE6En0vMffVekPgE58EpCaAoyR9onG1xcDxBJxcJTgFo4ki3QgpjEZbDF96QFm0Ne19ihJMGJ+fywVdw88RVAtBo0PK9+5X3sixUSennCiuJ5ca9DhHwqpgXssw9sw7rSwSjR/w3Mw9Xb3jkzbtORpyTDU4AKxcfTk6ZrzkLVnu3PPkjtZr+ipnlIs2R3POQyktkGRS23IR1lkHX1MAzNBrEqMmiIJYxG/5gKmRI1o9OjnMyUViY6GPi4D9SGi4mORA1NcdFEUAmjbWx5jejdg19KIIaNoYoRZXDfL13ig8qtWVionOb5VzAgLHtTA8mkLvYAYDw2m86dyTyu95S+6a2/80555ndvd6737XlccEc+Yvcpzk6s/cgTX7Wsi1c/ZcMdb/8v8e6t2dKTsEG/YTdI9TuJCrb9laWF4VM5hFDX5edA3DUw/4mFw7arAS8z1U5+lmclOQYDXha5WARcx9WsGDPj7MGTeplr6tFzEQ9fmIlmdj5LpruTfqewnyvcNxgQFP1Kp26r1aMQQJARq+129/TTjMdU611T0iK1MTv5h4cCSNzV0ljI4zzJ/XONbRUXpvc+eWuzHSKkj+08cFd8fMyIzKusd+ga+972Jcd+nQ+rKYvuOUTvaGacUDqYMjg9jTRzHuWQAhsHwjRiVbBcULWlYgqwFeo6F9DNARbwyNAFwzJg2OT8N9+jEF0sBojIA5mklYy8g85ANxw7NWFLbm+bT9gYEJ/VwRe0EbA20b/nbsTkeENuHMaiFGOZIJB4SMYf2uKh54OgOXdA42NrZ96D2fwV0XLmtHQ9uHjxfsjh/AAeCB++7BslXX4Jq/cdY11Zf2LV+SXnXZih2Znv5erNuWAae27CygNBnxQ/Y0rNgxwvSGdyQM1cfAS2uD2GypHGpec2L44wMNbIJKgR26tj4CgCMyGdU6nKbr0wxKxV8rb0ot96fp/Yi+JvpOaLZIuMvn8v5npcK/Y4SVQABgWRy2PY477hf4xn91or1zeW+pruWTa7clf/r+SwXOOe9vjyfkjr2RGZWrr34nrgbAnYN3gNhWJtf2zXMX/6LxngddmYDPCaqEwKZCdhjQ2h5PtPy1znuj2hq1jiN+TOfT4XgS7ic1LMCJrMipDJsomBMZI0hkWBCAkUZh9NzquJFYpYxGSGMSkIlZqtsV9y9E/YuqZb1l0wgAHOCUgIKDc2WwEjD/M4elbBSua4Nzga0HOvDuy9/e/cGrl3+uUnHvaJtehx8cN5SFctwBroTaTRBi5HardAmpa0l8o33Go42WOwJuAy/sY/AEQ4LKr1q1YQt84IjejiOJVtp1ord6oLaRGWgujRKYk8NEUgzrr/D7UKA0PrvSnLq3wx9sxINUkAbaOKKF6omMWhKEgaEwICRPqAI4KgikrFKu3Kl+pqDwW25QIgAmCxks5sG2K1i/swjhptDaUsD7rnxLd1v76z/vOOL2tun5YwumSeSEARwACMlh+77xHy9YcL772Q/kb9m+8dG6prpNuO33HM/vaIKw5I/IqIDll3Sq8Ht4jriXxPCWGGCONqiHAXoy2VilwAmprZH1O8MUJeYWVG4/PTUWtY8HQFfekIim112IQV9CQuRaO0pHE+VpUQF+DdyaK1L4J+cgARWhRIALDwCQSrh4aVcVP/pNGisXdWLOorP7l3UuuYHSsf8kpHTMcTSZnFCAA0BnSxqe69zZcuGZfc/XHZjjovS/Dv7sLzYVHIxQ6UVhQIJJ74r6UbmeSTeRAYYaoIto51oav5YE+zXVGdPuJP6OQwJeByKimhkTUpCoFocGYlVLCR/MKs8EKicF8evpOSzy9CrXxA/NeyQEur9ShO2ny7qeQCHDceayZQ4lDZ8pNS3f5rrp3ySTx9XEqynH3A8+FWGWzd3qtnvPOe+cW8fZGR+/aNXF3oz6NIfgspMVE0gngHQSSFoIulEpMTg2NFDX0NAk8p7gGELg1LwLkPi1oL0nKhPtj0o0YzB6Ft3PHX0fakUTa2QhGqm0QUcsc+UHoxoIPuCDmSb94RWHYbxsYbxioeow3zcuUHHqeGfnpd7lFyz4eN38N9+6bufue5NJdsyDOFORE67BlZQaluCPT2yp1tXPuvOcJfSh8lj5HVt2vvxP3fv2oSlPkc8QJC2C8arAuCNX4yKQ3BwwNTcQAXuwxxTd+2BybhLR6sQE/qT/yStl4/FT6OF5VWdZWwtrhiQRce6uj9WCoiJ6DqFREX9RXyEYxsoWxssUyYQ0KguZYeTyjbBSrV8miVN+3pJr2/3W+m3VdPHUowuOVyB/NQAHgDcsnwcA45/9l3s2r16x4Jv5fCYxPCN743jfLlbMeqgvJiDg4MktDoZGLOSSIqx+j3JpXWNHtXd0MkTcZTp3D8bU8nIoiRw7EohPFGo/xKXM/cpDgji9ERq1jhqo0KZMCHJJUxjlyKQcdA8KbN6VgOcxlPIEtp1CuniKlykW/jmRnvNNp9zlJXO1F2M9kXLiSVINeewP/4WTz7pUfOcLVz30+1/+NFnI0rMoH7Pam6p4/Rk96K2M4MkNeRRTAgnLX6eKmACNB3riWXyh25FovnISO4fyScf92BEf+aR+78n94LVWWp4sEKREv9fo1Ey+rnFthP+PunOZ/vggwRWESL92Y904frN2HPf8dwIJaqGhoR4nLVxeWbD4sm/lGld/6TPXXSCKbe8/0bCpKX9VGlyXmz/9dgwMDIExcePFF62mLy/qXLFny69oMtO3YuvuisUoh20JJG0JRJXLAoQ/dNhgU8u6Q0RDK/Dq79UOQ9s/kURv/4d8A+KaWPdVT0C7Dyk69w6MTeOOoFcxyDsG53KC6t4plQ3IPQqbcTgu0D5tHKWGrMuSdY+vPv/NfO7czsfHqrixPD6MVPrEuQEPJX+1AAeAUqmgXn5+44s/wWmnt+Wf2tj8I077rpzZcJDadBSFjAWAYGhMwPVEEPVU4fig+kT74QFNQwIxjWxSmqkv6BqCW4W+wzPEXHjqiUzKSOIS9+IZ4nf01vqlhGPkpBfhRPINSwI/74QBFuWocIaRMQkNIRyMlAu4YHk7TzUuuLurp+6DT2zYNHz66UuOLxiOUI6CRXT85LmXdiCfTU9bv3Xvdfc/9NSipBi8bKBnF2Y0Ejyy3kPvAEVdWiCdJEjI1BZ4HuD6K3ipTrAsaJNIjO6z0UKB+LbcFy10UOH6oLmmRgmC0D4QjAEmSjdA0DE6TMCK59eoZChonytalK2SrFSzTYvJh2yyKcHtuBQel581aXFk0g4KuTK6+zn+9HQJdXlgyeJ2dLbbaxpnnrkukW7/DvfGerLFuScaClOWv2oNHpUlp8wGgJ4dO3Z96exTr+jYsmUrDr68/bICW4sHX+pB70gJdWmGhAWkk/KHGxoVqDgSpJbf3FY3PEPgaHwUISiPXMIWZrrLUKciwTbCCOORGqgcMoijJo3sFRg2SVLshDEBm8n9nscwXGbymmmBDIB8ZgR7eoawbncz3vnm0zBz9rw1LXPmfnJsdKyrmGs5cT/+EcqrCuBKZs9uR39/f9eiRQtv6J+euTNtT79u6Qsvrhqv7IJFR5BO2ijmGIo5hpcHqnipS4AJgnxKRkRBtDI0CphZhPFMuqho8aVA9HB/1CCNjjXyRQCzeBiIe2V0z07UhajOFcbdwbkwoq7cp2kyrC6QzVRBSBU7Xs7gQG8Ohaz8ABYFXF7CqYtPxXvy5z3c3pT7TsesOS9Uym7XtMaZJ/pnPyJ5VQIcAOrq6gBgq+OJrRbFus7Zzozzzzzj3zdv2jT3xRfXsUKGYlGnwGmpQWzpsdBzMItsMrzdS65OgvwWKG8JImBECEajoKaGBBl/0O4E0MCpCQf86hoJQEa0a5Dw6nHffu0Eq+CtPtAJAEFVdon8XyVNEyjlKtjdN4rfPMWQ9JJYOJuhmLPQNPNsr661c2tD8eCHZi08dz+AzYS8svvYiZZXLcCV2IwAwOae3t7Nnuu9sb6Qmrl61Zl3b3jx8UJHw9ZsxR0BIVm4HEHY32IEjBFYlr86A2prZaPeEQrYYaJIWNGu/MgIJkrUnaiLWv+S+0CkQc1kmIMSTAz9M0VcekYPE/3z+9ue3xYZkJ4S5knOzYiAEFXs7XXRkE6icUbH6KoLVw4x4lyRLbXtrdJFXYlXObCVvOoBrmRaQwM8j3c1NTXu7h8cPaW+gOVNdUt+tHH7+tyM5j2lynAPMinpVrSYgG0R2JbMdeFC3talhiOByua+m40Lf0k+39keln+JoEQs0O7QfewmRREIrwOo8AoJ+mkH4I75pk2PD9USLILe3fKEoH7uiOevjWmx8C7BPQJKLAyPp9DS3Dr83rcv62ttOd2a0UCvnT5j1hPJVHYQAH+1a21dXjv/iSZjw3shYNMM/RkZ5B94T0/fyPVrfnlf9eV9XcRzywvKlWqqPD6OTIohk7ZQrngYHpUrwSUs6QnhQsB1BRxX+DnQAGPhUiR65FR6ZggsRmExAsuiBv1R7jrOJcA97mtxwFjTx2KAbcmHxURgEOuBJ+Z7QwiRIHYcAseT52YUSNhymZL+YWCsTJBJAZkURzaTgYBVriumNs7pbLU7559xZ+ms9//Lgz+9IzmrJV+uVF0+d/arz4g8lLxmNLgumfxMAOBDox4si96eSlZ/YlkMZy1bxIqF3K0DQ6Pzd+7set3IUC9raahgd3cVm3ZV0VxnI5dJwGIEnifgeR4qVQEuVC46CdopAtp6kUJIzc9C45WxMMIKP6DiCn8Ndo+Dc+lOoRx+PJkEq2MTElYxAeoOA9mMlwK2JUHOOUHVYShXfG1tAcmEh7r8KPb0MLzcm8GC2TnMbG3yZrS0PSpIenO1MvpRkDGPWhkMrL1TZIudYyf69zqW8poEuJJCNshEUKzC7esf+GAymajr6en7+iMP/3diWma7N4LMGdNbraUFNohcqgLblj09QDh2dbuoVCka8gSJhABjFLZF4bgCjuuBC8C2CJjveiO+RrYYgofUtqEGrzo88HQwFi7rwnyqQamAbQkkbAGPE4xXKBwHsCGQtAWSCY5pxQrGygK7D6QxNEoxNu7AtoBcJovWtgL6XPfp3b32M+0ds9m5q1ZXi6X6LzjVSn82VzrRP8txldckRTkcuf2uhwCQVTapXFRKV65I2eWTXGccGzZuR9Iew86D+/G7x2005xKY2WihrpBELsNgWy5e3OrAcQXyGYp8hiGbZkinGJIJAtunGwlbgpULgsERgp4+F4OjjpwYjMC2KSxLdvpK2BSZNEE+I1DIchSzLqquh+c3J2AxhnyGoJB10FQ3joa6Pjz4rIX+gRbkMynMbJuFXDaD6U25TfNn23cXc+IPXODh+paLT/RXfELlNa3BpyJ/d9V5APDw8ODAwwAeEXDmjAz38527DvBT5jfOXrFy7ufGSQ9sngHzuuE6oyhmOea2DeK+ZwG3nIbFPGRTBJQyJG0glVB8GUglBUo5B6W8g5f7BJ7aYqGnT6AhJ1DIEj+yyeXiv0LaABCySqapbgRjzgAeX1+HOc0JNDckUCgUMX1mOypeH0otsyHs8jezbHDH6849h05rqKfJpL0NwH2l+roT/dX+Vcj/9wBXki+WAOA+tS3ELgCJ0r4D+x8/9eRN4NWk09l6yqcoxYWFLEcpPwTy67+gUhFgFpBO2ygUEsinHBQyY+gbgkzpTXmYXj+AKh/Ejv0FNE+zsOOAh8EDCcyfYaGQJRireBgc5pg+LYM8S8G2gVwGKBWB6dkMrr7iTWguplDIWUjY9P5SbuiW0WqDvXzZEiSz7Q8LXh5YfNLR78z6WpD/AfgEQkg7AAwA+BUAHDhwAATY6HGv2WaCc4wimdqAMWvMN+5sQHBnyelLb6rPHXjLll1lp7s/j/aZAvXNA1i7SSCVL+Itp3EsPXUMT2+y0VqXxOwWhgODFezvse0FHcVf79j20k3USti27cGyGYqFAl6/YjHSiRRsm1JG2QEB7Di5uflEf0WvCvkfgE9RmiWgdvgPQ57znzetfwIQ5INZu1osDI6KsltCvgDYSQsVz0ahkEdTvYtSwygODjM05pJoamTw7HGURYrMmtUy2NHefuD81edGrvC9E/3vv2rl/wEsNgHtdwoBgQAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QyMjozNzoyOCswMDowMMgmYB0AAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMjI6Mzc6MjgrMDA6MDC5e9ihAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70883155
{'hecke_orbit_code': 189151184383123888, 'n': 1, 'trace_an': 2}
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id: 70883156
{'hecke_orbit_code': 189151184383123888, 'n': 2, 'trace_an': 0}
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id: 70883157
{'hecke_orbit_code': 189151184383123888, 'n': 3, 'trace_an': 0}
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id: 70883158
{'hecke_orbit_code': 189151184383123888, 'n': 4, 'trace_an': 0}
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id: 70883159
{'hecke_orbit_code': 189151184383123888, 'n': 5, 'trace_an': 0}
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id: 70883160
{'hecke_orbit_code': 189151184383123888, 'n': 6, 'trace_an': 0}
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id: 70883161
{'hecke_orbit_code': 189151184383123888, 'n': 7, 'trace_an': 0}
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id: 70883162
{'hecke_orbit_code': 189151184383123888, 'n': 8, 'trace_an': 0}
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id: 70883163
{'hecke_orbit_code': 189151184383123888, 'n': 9, 'trace_an': -2}
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id: 70883164
{'hecke_orbit_code': 189151184383123888, 'n': 10, 'trace_an': 0}
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id: 70883165
{'hecke_orbit_code': 189151184383123888, 'n': 11, 'trace_an': -2}
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id: 70883166
{'hecke_orbit_code': 189151184383123888, 'n': 12, 'trace_an': 0}
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id: 70883167
{'hecke_orbit_code': 189151184383123888, 'n': 13, 'trace_an': 0}
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id: 70883168
{'hecke_orbit_code': 189151184383123888, 'n': 14, 'trace_an': 0}
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id: 70883169
{'hecke_orbit_code': 189151184383123888, 'n': 15, 'trace_an': -4}
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id: 70883170
{'hecke_orbit_code': 189151184383123888, 'n': 16, 'trace_an': 0}
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id: 70883171
{'hecke_orbit_code': 189151184383123888, 'n': 17, 'trace_an': 0}
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id: 70883172
{'hecke_orbit_code': 189151184383123888, 'n': 18, 'trace_an': 0}
-
id: 70883173
{'hecke_orbit_code': 189151184383123888, 'n': 19, 'trace_an': 0}
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id: 70883174
{'hecke_orbit_code': 189151184383123888, 'n': 20, 'trace_an': 0}
-
id: 70883175
{'hecke_orbit_code': 189151184383123888, 'n': 21, 'trace_an': 0}
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id: 70883176
{'hecke_orbit_code': 189151184383123888, 'n': 22, 'trace_an': 0}
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id: 70883177
{'hecke_orbit_code': 189151184383123888, 'n': 23, 'trace_an': 12}
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id: 70883178
{'hecke_orbit_code': 189151184383123888, 'n': 24, 'trace_an': 0}
-
id: 70883179
{'hecke_orbit_code': 189151184383123888, 'n': 25, 'trace_an': -6}
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id: 70883180
{'hecke_orbit_code': 189151184383123888, 'n': 26, 'trace_an': 0}
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id: 70883181
{'hecke_orbit_code': 189151184383123888, 'n': 27, 'trace_an': 0}
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id: 70883182
{'hecke_orbit_code': 189151184383123888, 'n': 28, 'trace_an': 0}
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id: 70883183
{'hecke_orbit_code': 189151184383123888, 'n': 29, 'trace_an': -12}
-
id: 70883184
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