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{'Nk2': 5544, 'analytic_conductor': 11.06726572014946, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, 1], [11, 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': [1386, 1, [155, 199, 1135], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 40, 'field_disc_factorization': [[2, 3], [5, 1]], 'field_poly': [-10, 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': [[5, [-10, 0, 1]], [13, [-2, 1]], [17, [6, -8, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816742762, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1386.2.a.o', 'level': 1386, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '1386.2.a.n', 'nf_label': '2.2.40.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+\\beta q^{5}-q^{7}+q^{8}+\\beta q^{10}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1386.2.a', 'trace_display': [2, 0, 0, -2], 'trace_hash': 2101524076677961991, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.037', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.205', 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{'AL_dims': [[[[2, 1], [3, -1], [7, 1], [11, 1]], 1, 1], [[[2, -1], [3, 1], [7, 1], [11, 1]], 2, 1], [[[2, -1], [3, -1], [7, 1], [11, 1]], 2, 2], [[[2, -1], [3, 1], [7, -1], [11, -1]], 3, 1], [[[2, 1], [3, -1], [7, -1], [11, -1]], 2, 2], [[[2, -1], [3, -1], [7, 1], [11, -1]], 3, 3], [[[2, -1], [3, -1], [7, -1], [11, 1]], 3, 2], [[[2, 1], [3, -1], [7, 1], [11, -1]], 1, 1], [[[2, 1], [3, 1], [7, 1], [11, 1]], 1, 1], [[[2, 1], [3, 1], [7, -1], [11, 1]], 3, 1], [[[2, -1], [3, 1], [7, 1], [11, -1]], 1, 1], [[[2, 1], [3, 1], [7, 1], [11, -1]], 2, 1], [[[2, 1], [3, -1], [7, -1], [11, 1]], 2, 1]], 'ALdims': [1, 2, 3, 0, 1, 1, 2, 2, 2, 1, 0, 3, 2, 3, 3, 0], 'Nk2': 5544, 'analytic_conductor': 11.06726572014946, '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': [1386, 1, [155, 199, 1135], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 273, 'dim': 26, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17], 'hecke_orbit_code': 33555818, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3], 'label': '1386.2.a', 'level': 1386, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 304, 'mf_new_dim': 26, 'num_forms': 18, 'plus_dim': 7, 'prim_orbit_index': 1, 'relative_dim': 26, 'sturm_bound': 576, 'trace_bound': 13, 'trace_display': [2, 0, 0, 0], 'traces': [26, 2, 0, 26, 0, 0, 0, 2, 0, 4, -2, 0, 4, -4, 0, 26, 12, 0, 8, 0, 0, 2, 8, 0, 54, 16, 0, 0, 28, 0, 16, 2, 0, 12, 8, 0, 28, 12, 0, 4, -4, 0, 8, -2, 0, 0, -24, 0, 26, 6, 0, 4, -4, 0, 12, -4, 0, 4, -4, 0, 36, -8, 0, 26, -16, 0, 0, 12, 0, 4, 8, 0, -28, 28, 0, 8, -4, 0, -32, 0, 0, 12, 16, 0, 24, -8, 0, 2, 20, 0, -4, 8, 0, -24, -8, 0, 44, 2, 0, 54, -12, 0, -16, 16, 0, 20, 40, 0, -12, 0, 0, 0, -12, 0, 0, 28, 0, -56, 16, 0, 26, -56, 0, 16, 72, 0, 40, 2, 0, 32, -16, 0, 12, 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mf_twists_cc • Show schema
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id: 47770981
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816742762, 'source_is_minimal': True, 'source_label': '1386.2.a.o.1.1', 'source_level': 1386, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816742762, 'target_is_minimal': True, 'target_label': '1386.2.a.o.1.1', 'target_level': 1386, 'twist_class_label': '1386.2.a.n.1.2', 'twist_class_level': 1386, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47770982
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816742762, 'source_is_minimal': True, 'source_label': '1386.2.a.o.1.1', 'source_level': 1386, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189372266, 'target_is_minimal': True, 'target_label': '1386.2.a.n.1.2', 'target_level': 1386, 'twist_class_label': '1386.2.a.n.1.2', 'twist_class_level': 1386, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47770983
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816742762, 'source_is_minimal': True, 'source_label': '1386.2.a.o.1.1', 'source_level': 1386, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 360287970223203814, 'target_is_minimal': False, 'target_label': '9702.2.a.dc.1.2', 'target_level': 9702, 'twist_class_label': '1386.2.a.n.1.2', 'twist_class_level': 1386, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 47770984
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816742762, 'source_is_minimal': True, 'source_label': '1386.2.a.o.1.1', 'source_level': 1386, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 292733975812646374, 'target_is_minimal': False, 'target_label': '9702.2.a.cn.1.1', 'target_level': 9702, 'twist_class_label': '1386.2.a.n.1.2', 'twist_class_level': 1386, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1910750
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 63050394816742762, 'p': 2}
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id: 1910751
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 63050394816742762, 'p': 3}
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id: 1910752
{'charpoly_factorization': [[[-10, 0, 1], 1]], 'hecke_orbit_code': 63050394816742762, 'p': 5}
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id: 1910753
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 63050394816742762, 'p': 7}
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id: 1910754
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 63050394816742762, 'p': 11}
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id: 1910755
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 63050394816742762, 'p': 13}
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id: 1910756
{'charpoly_factorization': [[[6, -8, 1], 1]], 'hecke_orbit_code': 63050394816742762, 'p': 17}
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id: 1910757
{'charpoly_factorization': [[[-6, -4, 1], 1]], 'hecke_orbit_code': 63050394816742762, 'p': 19}
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id: 1910758
{'charpoly_factorization': [[[-40, 0, 1], 1]], 'hecke_orbit_code': 63050394816742762, 'p': 23}
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id: 1910759
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 63050394816742762, 'p': 29}
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id: 1910760
{'charpoly_factorization': [[[26, -12, 1], 1]], 'hecke_orbit_code': 63050394816742762, 'p': 31}
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id: 1910761
{'charpoly_factorization': [[[-36, -4, 1], 1]], 'hecke_orbit_code': 63050394816742762, 'p': 37}
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id: 1910762
{'charpoly_factorization': [[[6, 8, 1], 1]], 'hecke_orbit_code': 63050394816742762, 'p': 41}
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id: 1910763
{'charpoly_factorization': [[[-40, 0, 1], 1]], 'hecke_orbit_code': 63050394816742762, 'p': 43}
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id: 1910764
{'charpoly_factorization': [[[-86, -4, 1], 1]], 'hecke_orbit_code': 63050394816742762, 'p': 47}
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id: 1910765
{'charpoly_factorization': [[[-36, 4, 1], 1]], 'hecke_orbit_code': 63050394816742762, 'p': 53}
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id: 1910766
{'charpoly_factorization': [[[24, 16, 1], 1]], 'hecke_orbit_code': 63050394816742762, 'p': 59}
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id: 1910767
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 63050394816742762, 'p': 61}
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id: 1910768
{'charpoly_factorization': [[[-36, 4, 1], 1]], 'hecke_orbit_code': 63050394816742762, 'p': 67}
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id: 1910769
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 63050394816742762, 'p': 71}
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id: 1910770
{'charpoly_factorization': [[[-74, -8, 1], 1]], 'hecke_orbit_code': 63050394816742762, 'p': 73}
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id: 1910771
{'charpoly_factorization': [[[-36, -4, 1], 1]], 'hecke_orbit_code': 63050394816742762, 'p': 79}
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id: 1910772
{'charpoly_factorization': [[[-6, 4, 1], 1]], 'hecke_orbit_code': 63050394816742762, 'p': 83}
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id: 1910773
{'charpoly_factorization': [[[60, -20, 1], 1]], 'hecke_orbit_code': 63050394816742762, 'p': 89}
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id: 1910774
{'charpoly_factorization': [[[-156, -4, 1], 1]], 'hecke_orbit_code': 63050394816742762, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '1386.2.a.o', 'level': 1386, 'portrait': 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yekSYJAENbq7Nzkc+nWiMmJmLOLgk7P45JtMRiINJw4X6M7MLTrgkYgkCSEYUq7kbLaDzgxByMdoI3h8m0R3X7K7ILHVMvn4m0Juzb3aDZGCGmIIkGnX2e+EzDVEPjSZ3Yu4PAZwfFzCScXE8J6n5fd2OO1N0EoJzl4os3J84qzGXPPGw4tGJ591Ty//LZltk1NcuLsNOcW68wv+44o7HGcX045tahZGDT4lz8g9I++cc+HJjdP/Tj9aFVM/fC3GhLf1O3bGuCLS6ucXTW0At5x4uSTt66cfo9c7PZuvX7PCW/r5DRnFzYwv9xifrnG3LLHwopgaSVlqROz2Ek5uwJHFwWbNqzwKz+4yHP2NTh1fprZuSazCx7nFw3nFhJOz6fMdRMmp4c875oez70cAlknVCHnl2qcXfA4tyTojyBJNLVA06ylTE0kaODEuYTVHuze7NOsjzBGgAjoDTS7toxYXPHAWCmy0oNRAgbDUidi+yaf7kAhlEHoEe2az66tQ1b6ghOzHqn2mGlLWjVB6EOSCPojybklydlFw/nlhDAcgp9w85U9br1KsLFdZ3G5zanzIbMLcH4h4fxSwpklOLJoePaVC/zHH1xm62Sbk+emOb9YZ34lYGFFsrCcsrQas9hJWOgYZlcVJ5dStkye5A0vmkhiMfO1X/yJt+idO6/6mhDJL8ZRnSD89s2OftsGmb/3Rx9hZrrN7NmFX/ujD935Lz9y271htzNi08Ye//2nFXu2jmjWh4winyiWRIkg1R7GKAxgAESKlIajC1P8xz8X/NoPn+f6PRGt+jTNeot2I6TV8JlsK84vKs4te3zp3hqfuSfh0p19Lr84YWl5wBU7R7z1lZo4UQgMn/p6jblOjXo64vhZRa/X4tpLUuZWE/Yf9Nm3U3JoFm6+DDpdiLRH6EVsaMIzZ+o06jGhSphoCVa6cNMVXY6cDtm3W3NsdsRTR+zv83cOOXLeMNEasbQa8ekvNTBCkaYpL7quzy3XG86t+Fy/d8jebT5J3KY/qLP/aI1zC4L55ZS55YTzS5qTS4LzvYjr9i3yH76/x6b2FCfOTnJ+qc7Cis/CimSpk9Lpxaz2Ulb7hs5QsjQSJEnEthnDm194zNu1efaFYXeZxZOvuKW58TW63pz4d4ef+AiXXPOmbzVk1r19WzL4+97/EW6+dqu67c6j/+HoyfP/7v7HT6iTiwlLI8EoHnH93gV++58ucP0ldc4tTrO40mSxU2OpE7DY8VjuwnInZXk1YambsNCBU8sCrz7klquW+J4XRuzZ1GSl12Zuqc78UsBCR7DU0Sx2NMtdzepAszoy9IcJM+2YXZs1IAh9w+k5HyFDdm9S7Nlm2Lapz/nlEY8danHDpYZGfZknD0/TakZEkc/MlGYwhCt2DfnAVya5bGfCaGTYMCGJ0wGtWshTx4fU/SbX7Ut4/GjE+cWA7TMhe7bCri0RSsWcXoDANwhh2L05Yaol6Q5Cen2f1b7P0qpiaQUWO5qlTspCJ+VcBxaHKbu29/ieFy1wy+UeNb/N2YU2C8s1FlY8llYFyx3NSjdmqZuy3DUsduFsVzHXiXnu5Wf5r/90gasvCugN63RW66wOppHhvjSob/2188Or/9Okfyx99s1v/FZDZ83t2wrgzxx8hlqtVp+dPb3r3vufeMszR8786v5DZxiliu5IsDKUzI8EK72IGy85z3/7ySWedXGduaUpFleaLHdDljoBS6sey6uw0tWsdBNWuglLq4bzHcFsz4Do8cbnd3j1czQXb60RRQ2WOzVWegGdrmK5J+j2BcORIUoMaQpKGkIf6qFhsm3YNB3j+UOOnI144nCITpq88qYIz1/hof0TXLQVPnt/wvOvDpnrDKh5iiSNmZ6CJPbx/ITFxQbPu36Vz97bYs9WePDQCJ8Gr3iOJhEDnjiScux0DU8GbJ7ymGoK6qEgCARKQKIhig3DCLp9w0pP0+1rVvqaxZ5hkKbs3tHn1c/t8MZbI9AtFlcmmFuqs9jx7XHqwEo3pdNLWOmmLPc0yz3BbFcxv5pw477zvPMn57jmopCl1Tbdfp3eIKTbD1jtC/z6TlS47d9Pbrjir3bs2H5yNBoOLr30sm81lPLbtw3AT508xKZNG4NDzxx++4GDh991732PiPMLXTkYGfpDQ3do6I0EnaFgfihZ6EU859I5fuNHl7jhkpCFlUkWVlosr4asdAOWux4rXcFK17DaS1npJnR6muWeYa4rONvRTE32+Y5nd7n58oTdmxXtus9qt0boS0ARJRKtBdpAfwgIzVRryKEzBm0ibn+wyahf55LtAbdc0yfWK9z58CTXXepz6FyPznKb517T50sPhWyeNuw/Yfhnb1hl//GQzdOSLz6suOUKxVJ/laOnprluX8SdTwxIRg1uvjJg784hg6THFx5SkAqOnPZoNzw8Af2BRBtBqg1xAkiNF2g6PUOzFbNz64hbr+jzHTckzDRrnF+aYHGlzvKqPTbLq4JODzrdhE4vodNL6fQNSz3J2a5goZvw3Mvn+LUfnedZF4csdiZY7Vlw9wYB3YFHd6Do9iWDuK537r7a7Lpo70/tuXjvnywuLkRXXfHtAfJvC4BrHckkGrxu/2OfvmRhmXd+/b6H/E5P0BtoeoOU/jClNzT27kC+MJSc6yTcfPkcv/6jC1x/ic/K6gTzKy063Ror3YCVnkenq+j0odszrPYTVnspvYGm0zfM9wTzPYjTEddeOmDLdEqvb3jVc0dctEWTpBJPGqIY7nisxsm5GlunEp48UgPd4PIdiusv04S1Pg8d6jO/0OSqi5q0J5e593GfGy+tsdhfYXm5zZYthvv3K77/JT0e2O+xY5PPQq/D8tI011/R594nU6brk1x1SY+5Tof7n56k7jV59mWGfbuGIHs8dkywaTrm/HzMnY/5DGOFlJBqw0VbI77juRHdnmLblOb6SyGKGix1Gix1QlZ6Pqt9RacnWe3Baj9ltZfS7aes9jUrfVgaCM50BJ3hiFv2zfOff3SZZ+8LmFucpNPLmNunN/DoDj16fUF3IFleTVnuRFx73bPjYez93A+99fWHW636p8PQ199qbH3Lg8zhoM9oOPzB+dn7f2tp7uD07OwqE00FQiKERAiQEqTUKKlRyqAkeFKjhMcDhzbzC+/1ecOtS7z1JUvs2RZxbrFNGNSphwGN0KdZ9+jWJa2Bz0TTsxfMIGXzSDMYGbrDkKX5GqdPGaJEc+ZcQhgaQBAogycF/YFC4JP0PZ51kWDvNsOu7X1GaZfPPaA4cHiKl98Qcv0Vy7z/c4ZANLhoe5/H71Vsn1RsaPepqTpR7DPXhWbNY8dmwaMHIq7fV+eF1y3wp7cNCPwWL7vJ4Id9vnx/xGfva/L0sToXb2tw0daUjVMRezbEXH1RilIaT9mQuhGGbJwMiWKfbj/gyUM+vaFHf6DoDSW9AZYg+vazdwcpvYFhdWBYGcB8X3FuWdNsd/jpV83zj24Zce2eBmfn2xbc/YDu0KfX9+gNFb2BpDcQdAeGwcgwiuHLdzzgh83p39q2bevSq19207/s9fp/2mw2/u8FeBL1QPAj50/e/Y5Th26fHvZ6hEGNRk2SaIPWAvAQQiBEihRYkAuDkgZfGkIlefzwBh451ODQ7BxvuLXHrVcOmWy1Weo0aK7WaA8Cen27pPaGksHQoz/yGI4Mw0gTxYY4NiSpvUdJgNEglcD3BLVAMNkSTLVgywbNjs19Nkx1+PxDcNcjPlJP8PIbfJ51eZd7no6Jhm1ueZagMxgwt9jk5n2aDZN96l7IMFHMr8YoLXjWPo9Ga8TDB2u84PoJnnttl4cPKjAT3HBlwA+/dokvPRrxxQea7D9ZY9dGxZbpOlOtBhMtqIfge/aC1wb2HxOkqSBOBFECoxj7GUcpg5FmONL0h5r+SNMbwOoI5nuSuS6M9ICXXrfE627t8H0v0yRJm3MLTVb7tVyS9AYevaGkP7Tg7g8MvWFKf5gwiuyxnF04x5/+5eemB5H+r2/6zhd6K6uD90626//3AdyYc8Doh3vzt7+jP/fFTR4jarU6idEkiSZNwRgJCIRQDtyglMiZy1cGX2nqnmChX+eDX9nBlx9Z5flXr/C2l65w9Z4eM5MNFlcadAch/YHvgK3sPRKMYkmcCJLELvW2dssGlZ4HtQAadc10K2b7pj4JPQ6difnQnTWOnmoyGda58UqPm69Z5f5nOtz+9TY3XVpj19Y+H/iKQImQditmpTdCG1ACNrb7rHYDdFLndc+f44OfbbD3fI1X39Qnihe584kZ4rTGc67cxKtvXOXSnR2+/HCfx081eOxYwI5pyXRb0AgFgW8vQilACIM2oLUhTtzFGhtGsQXfMIJBBN2hYHkkWOqC8IZcd9kKb/uOFZ5/ZcpMu8bKapOVbp3eIKA3yFaCDNyC/kjQHxoGTj4OhppBZBjFAiN8Tp3r8jvv/9Kms13zjh/4zlvMoROLf3zp7pn/OwD+q7/5fh4/L3n7L37xh2658uw7v/OGr21oBCNG9Uk0CWlqWSjVHlYkSIQQSKmQSqBkiicFntT4nibwDIFvqPuC5aFicWWKv/pqk/ue7HHLtSu87WUrXLe3w0xaJ0lC+sMavYHPYOQRxYo4kSSpJNUCbQQCgxSGMNA0aglhEBH4I84sjrjtQcnh0wHHTk+hdMjerQFX7FHccPkqKpzniSMttk82uOpi2LJxmaXVNldvt6vR5x8IGfUlk82EVzxnyKfvjDl5rsVll/icXRny1FGfnZunuHbPPPc83uXepwSjKODyPdNcvjPk8h1djpxd4vAZeOBAg0NHmzQ8QehJmqGh5lspJwBj7MWapBAlEKWC3kiwOhSsxhDpBG2GPPvSVd72Has8/+qUrdMBw1GbxU6dbj+kPwgssIeK/lAxGAr6Q8lgZPtGB6OUwTC1j24lHMYwjAT91OP0yQ4f/OinNz3vioff+aJba4kx73j/Uw9u4+rnvP0fLsA//5mP8srX3slv/z83ft+n7jj+ux899vDkS644y9bJNsMoIkkVOhVoLTAGhPAQAoSUKClQUuEpgeeleJ7A9wWBpwl8Q803NIKUyZqgO/JZXp3io3e1+cpjQzZP9XnLizpcvnPIcNDjqj2GnVsUo9gnTRWplpgM3FLjeyknzhuOnROsDDSfvKfBmYUpTOQzVVNsm/HYvcXj4u1w1d5VtFzg3Z9usrQ0wU2Xe1y1t8OXHxOIxGfTlKTZSOjHAdJIMBLlBXSGgvNLgitNgxfd0OVrD9fZtiHgpqum+SevXeBPPtvlgYNNekOfxZUWe7bVuWxrn+fs6/JdL+gyu7TEJ+8JWeyHnDjrc+ZMgK8EUkoEAm0MqYZYG9JEMzUTc82VfUajmMt3jnjTi0ZsmlBMt0LiuMbZ+Rr9QUB/ZFe5wVDZe2RZezASDEdYII8ssIcuhumPNP0RDCJBPxasxoJhKuh1TtM799SGswdu+N1Ti9fFz3n+w3/xwb/8EN/71u/5hwfw84ffw6a9x8RDdz/7zQ89Mfue+YWTjakZQBkCPyL0I+JAOVtO4JQCQnhICUpKPCXwvezRAjHwBIGvqfmGemxoRIaJWspUXdCPJN2oybHTTX7jL6ZBJ4gk4YZr+uzZEpEkoI3GGJvEkUIglcDzAw6eDNh/uEaz5tEKJBsago0zkk3THts2KnZvTbls9wqpWOT3PtbmxMlJbtrnc/lFKYOky9efCJms+8xMGCZbEY26lUJaSzpDxVLPsNhJ6fTqPO+qFR7c3+fAScVku8ZzrpzkR1+3yO9/HB4+3KQ3MKx0Pc4vtdmyocGmqSG7Z4b86zf3aTc6PH4MDp6S+L5BKYMQGjD2/waSBC7aknLL1Qlp7BMnIcY0GEY+5xYCBiO7og0jlcu3QSQYjgTDyLL2KLJafhRpJ3c0w5FhEGnL6g7c3ViwmgBpjCBFCs3RY6cmv35w03u+/NANye8/efGHf/6dHzS/8XPf+w8H4Mb8Z+C8ilfSN26fmn1/+5qjtXrY48uPalKj8fyYIIioaYVBAAIBTncblPLwpMF3tdGeEgS+IvAlo0gTRimj2FCPNaNYE0WGdgKjWDNKIEoEw1gySkPitMaBw00eOwCpMVhoW23sSwiUrflohXDVVmjXYaIpmWopZiY9Nk3Dri0jtm5cITZL/N7HJjhydILrL1ZcvEOyd8cyX30q4fziBDfskUy1NbVgQChDjBIkqUQYQ5JGLPdqnF/0uf7yOs/a1+Weh2tsnhI0ai2u36f56Tcu8rsf1zx1psVKT7PSVcwve2yYbDLVrjPVnqDdiNnYjNl9fUToJ/heglIpUliKMNiLKo4Vc/MecaKIE0UUK0axe4wko1gyiiTDSDKKhA1QI8EoMowie1xHI3ucLchtgmkQO3BHwibjYskwSSCN8DAcPZfwpQeG3PHI4ca1V6Tvf870qn78WP1j/+if/lH6if/x43//Af4Tv/xuXv8zE+rWK0696ZZ9T/9pW+2vXbTVY/vmlLofcmZBcPm2iHo4dK4JYGzAJKRBSstKnlR4nsL3JIEv7EnwBaNAEcUW6HFsiJLUuiJJ6Z5CkhrSVJNqrN7W5OAWLoD1JPg+hJ6gFgoaoaTZUEw0JFMTgk3TCbu39Gk1V/jY1yLufGKalYU21+xS7N7qc+nOIalY4fMPNGj6HhunFK3GkCeOwNNHPa7eaeiPFNdeGnPNXsO5synzywGDYYNX3tjl7scHHDqjaNYlYdDm6os1/+mHFrnjqQGfvmMDi6uG3ZtSljsek23FRNOn1fBp1g21UBMGmtBL8ZSVWlJmBINdGbUg0ZIkFSSJIE5sDU8cS0axdV6iWBDFhiiCUZwS5aShLbhjY0EfY0EeO+aOBEuxZDXWmGiEMEO2b4oYxXBuMSHSPebP3V+77pLtf/b2N275x9fc0P5I+mvvTL2Zn/v7DXDhTcpNU9H3fvyrnT/4L+/u1PZu3cLzrx3y5YcCDpxUHDwWcOwlPd7y0iHtpgW0EAalrO/tyRTf821A6WuGviKIJZEvGQWCKBb25MSKOIEoltZBSArbL0mtK6O1ITXOKXEayAawoKTA8wSBJwgDSS2UNOuCdsMw2dJsnh6xcapLYlb48N2SP/nsDJtqNa7ZJdi11eeibZrdW5f52NcNS0s1Lt+imGpDqxFz/rhkbjkk2AOjWLBxQjI5CYeOGZZXNecWalx6UY2X3NDltrtqzLQgDAKUnOTqvYIfe/UcvpzjU/dM8fSZGptXYzZNJkw0Fa26olGX1EOPMIDQB88zFuTCroI5yLEXdqohTQVJigM6xKkhSiCOU0sKsSZyj6NYE8dYcCcO3LFgGAsGTnN3YkEvTtDDIRPhKt/z6mXe9JIur3h2zCtuTPjKw12ed03CtpkztXrrWe/pnLrSM7T/Esszfz8B/q73fpw41T/08TuO/Lenn1loj/QWHj+Z8viRFGQKXsrn7qtx75N1ZpeW+Wff3WeylVDzUzr91AJc+fixxvc8Ak8R+B6jWBI55raMIywTOVZKEohTSFPrJGhtAy6tTdbD6cBtAa6UcLreAqQWQqOmadUTJlsJGycHbJha4WsHIv7s9joHj01y0YTP3i2wY0vAjs1w2a5V+skq9+9vU1c+G6cUky2YbI2YmkgIAg8h7MU1GAUsrcas9A2dXsLccsCuLS2ee/kctz/Q5+CZNo0wxlcBQkywd7viB162wLMvm+PPbm9x/5OTLPY8NrUTJhsJjZqkXlOEviD0Jb4v8JREKZx9aFFusD2sWpMDPUm1W90sKcSJJkktuJMYosQU99iW+o4SC+x+LOgmktXEMBrEmLjPTLPLT333Mv/6+7q0GopoWGfvNsWl2yWjqEEUe3SWzra1N/V7hDcFx/f/9Z9cdMV3/f0D+NJSB6XUj/z+ez/6joUzp2Y2NQWDVDJIFZE2xNqQaIPxElaigP/2oYD9Rzp85wt6vOi6HptnIla7dQajkCDyCfyA0PfcsqmIY8UokcSxJErsshsnztNOcdYfjrkl2lCA2/qPjrnBUzZhEviGWqCp1xJatYSp9oitG1Y53+nzrk/6fP7BaZaWm1yyUbBrk2D7poAdmwR7tg3xghU+eKfH0VNN9m2WTLUkE80UKUecmTeEnkQKMEYQxR67N63yACmrfcXyquH8Up19O2p814s6fOTLAcfPh/hejBA+2jSJE8kNe5bZ/dZVPv9wnw98fpqHjjfZPiXY0Exp1lJqgSD0BYEv8T2Bp7CBsxR5TYbBXmTaYJ2W1AI+B3lqJZ1dBSHKmD0RBbgT6CaSXgyDKCXtj9ixscMLr1/h9S/s8+obUwJVo7MSkmjPOlWpR5IqksRjFCv6w/mZ1sb+Oy+56k1qNOi8N6z/n6kp/z8C8PmFDp7n/5OPfOrOd9x7/1Ob6p5GCkkt0TRTwSiFkRaMtGSUSiLl0YlDPvjVGnc83uP6y7u89WV9XnPTKhsmRvSHNQZRTOz7RInHKPaIE484tgFTnEqSRBKngiSRzkcXhdbWoqgRN5a5pcCm/V2yKPA1YZBSDxNa9REbJnsM4gFffsLwoa9OcP+Tk0wFPldvN2ydlmyeCdi2UbJjc8TF25d5/PiAT969kQnlsXFC0G4K2o2YTj/ls1+v0QoMQlhgDUYer7tlxGfuszUxnZ5mbtljx6YWb7i1x/0Huuw/FNAME5QUFuS6wTCyWv8HXtJh39Y5PnjHKvc+PcnJ5Tpb2oKJmqERaGqeJvDBUwIlXamDsJ87Kz/STqppXaxwiQO6JQiIU0GcuqxoKhgkgn4i6KUwijRJFNGs9XjDK5Z568tWuf6ylC3TiuGwSbfrE6c+SapIU+XA7QLcxGM4ksTnn9x0fnLTO7bufrGOhivvC2qT394AX1xaYXm5h5T84Cc/e+dvfvgTX5xZWuoQeBIpDb6yWq+WCqv5tGCkYZhKBipg5PucXg2Zva/BfU/0+cjVXd700j6vuGWF6YmAKAoYxT5RHFiAJ9YVSBJFkrqETVoAXBvH3LqoKRPCuKDSZkM9TxP4KWEQUw8jWvUBKQO+9LDkL74yyZPHJhBxyEVThq2Thg2Tio3TAVs2SLZtjNm1ZZVT813+8NNNklGdHTsEky2PdhPajRjhR6wOmky2DEJYfz9OJNOhItEJ3Tig209ZXlWcma9z5cUtfvw7V3jnX4acmG/iqdhdGB5JUmMYSbbMhNxwySrXXNzjqRNn+NBX69z+0CSznTrNUNEKoOkbAs8ec0/adL4Q1eo6DRhtL7pUC1IDSSqsf54KotQBOxUMUxgkhiSJ0XHETG3AK1+6wlteusrzr06YrHvEaYOVTkAU+ySpR5I41k6lA7gkdo9JKoniZY4f/NKmNFW/uWXnLcnq8un/6QVt6o2/Ozb/OwV4vz9gerr5+jvufuD3P3nbF9ujXodWXbrMmmUHC3LLFmEKtRTqEhoK+qlgqEJGic/csMan7m9y51N9nvPFLj/z3T2u2NVl06Si3fSIooAo8UkykKfKgVuSaok29u8aI/L0u2VuW7DlKY3nJYRBgq8iVgcx86sxv/OxGsfmpnh4/yRGB8zUBZs2GDZMCGbaiplJn80zki0zCds39pmZXObzj2geenqSa3YIplqSVkPSbmia9QjhjwhDD0/Zv28MpKlkMPIYDGMSLegONN2eYWnV59xim5sv6/HcK1f44Bdr1JcUnowtII1HkgZEsWQw8tkwWePZe3s8+5IeD7xwlhPzkj+7fZK5lQanF0MCJWn6giCTYdIGnjmRZ1IFy+SJEcQaEm1X2WECkTaQJpDESDVi29SAay7q8TPf1eXGK1LadY8kadLpBURx4FjaAjtOq+STJPbcJIkk0QKtPfqjAZ3HvjIzSsLf37XnhuU4Gnzy7xKTf2cAP3jwGXZs36Le876/uOTxJw+2h/0OEy1VRO26SB/7qXHLoQV64Fi9nhpGWjDwJAO/xigNWIzq3P5Qm689PaQZjvjHr+qwcyZh97YBN1/VxROKVsMD4QCuFUbbWmljSsyNtR2VsF6uIQGZ8NQxyYMHPG67v8VTJ1tESYOWp9hYN0w3DVMNY33wtsf0hMfMpGDLdMK2jQO2blzmzidHvPu2TWyd9NjYhnZT0W4KWo2Eejjia88ohpGH37SgMkYQJZKap7hu34D7npi0hU+DlJVVn4WVkPMLU/z4q89zemGR+x7diC8BEaOBJPGIYp9RJOkNPKZaNSbbTZ67r88Lr+nz1hfPc+CU5jP317j/QJ1njjZJhMdopOjHCiWkK14rB54uJ2C0jYu0xhcpE0FEjZjnXt9jz9YhOzbEvO0VI+qBpFX3iKI6q72AOPadv+7lUiRj7jixpJOD3JViJNo+au0RdXoMH727PXf+/CXPe/Gb1ckTR9Jdu/d++wB8/4Gn2bx5JnjggQfe7sv0vw17y0y2fFJjnYw0hUQbuww6TzopAT5JBYk2BKll9bo2RKlN9w49n2Hq09d1ut2U3/zgFCaJ2bxxyJW7hsxMJLzpJQN2bYqIY5fmR0KJuXH6U0qNkIKP3lHn8SNNhOdxYrbBmfMNanXFRCiYbBraNU27Bq26YKKhaLcUUy2PmUnYMJmweWbI9k2rpGaFj97dZtBrcukOQ7uhaDUkrbqmVUvw/YjP31dj1Jf4m0A6MMWJpFlXvPI5A+56RNMbSXqDlNW+x0rX49xigyv2tHjT81d5+KkGJ5ZaKKmB2OllnzhVjGKbmOkNPTq9gFa9QbM+4oodQ266bMipuQ7Hz67g+SmPHfX4yFcbCKUsuIWsnkSjAY0xhiRK2b054S0vGbChnXLZbsPmGUgTn1HUIkl9lle9CqDjHNRqDNSi8nwc4NYcUKzMrhC20v/2xGMP97ds3f0nzxw8EO277PJvD4CfnT3NytLCvpOnTr/rkUcekrWajeJjF5VbkAsHaAv0JC1kSw70EqsnqaGhBXEKkRZEqWSkJZH2iTXM99p89XGNIeUT98cIkdqTZDQZsg3OIhO2IlEIiVSKJPaQ2sP3JK0Q9mw0NH1NI9Q0QmiEgmZd0qor2g2PiZZkqg0zEwkbp0Zs29glZZnf+esa9zyxib0zMNVw7N2QtOoJjXpEszGgXm8QKomSToNj5UAc+wwHgsEopTtS9Iaa7kDblrlmwOnzEzzvyhE//ebz/NZHPE6uhAihMSZGp4Y4sc3Ww5FPb6BoDTyatYBGvUYjbFALY1r1iBsujQj8mBsvTXjbS/t4KnFJII0QpirKnaTT2tbih74CAoYjj8XlzA1RDrCqdC/in0xfJ7oI+BMtSRLhznsJ5I7c4sQmlx544EE5iOS7Vlb7d49Gwyf/LrD5vw3wL3/xE7QaXv3kicNvPHrosGg1fRuBxxrlsodJaqyM0wZPm9yfTnNWz1jesXqWiHDPE23c15AYiLUg1pLESFLtEeuQ1Nle5VuepRTgCWEzlQpqdUPNM9RUSuhD6EEtMNRDQT2QNOqSRs2zAG8KJlua6XbCzOSITdM9tm1a5N23aT5w+2Z2Tio2tDTtpqLVUDQb0KintOoxZxc1R86G1AJbcgBZpZ9gGHns2aLZsmHI6jBgMDSOxSUrXY9WvUarMcnbXjrH0bPneM8nt+NJD4Mm1SmJNsSJxyhSDCLFYCTp1ySNoUc99KmHKZ2ujTECP8X3Unw/xZO2UUJKm84X7m5LV2yZhAW5oKNdlaV2cY2Lb1JdMHSqS+DO2ToDs3Qr9ji4bRCbJ5pSiGNbzPXAg4+KvXu7b7zooouOfPgjfz1485v+9zzy/22Ab5wSQa937hf6q+d/QTCUzbpkFLnMYGpIEmEBrkyJrQ1+DlrjvOpCpxeSBitzSlaWtf9c3bMBbUQeKJU1N+AyeTaw8qTGk7g6cvCVwPeM9Y09QS2U1AJJPVTUa4pWXdJqGCaaKZOthOn2iA1TfXZtXuT+Z0Z88I5tTNVCNrc07Yaw4K5LmjVNs5bQaoy4/yA8dqDBJRuN071F2nwwUtx4meHSXQMeeHKS/sgwGKb0Bp4DuU+jVqdem+R7XrDEY8/Mcd/+LWAUWqf2OCaGJDZ5Pclg5NEYGuo1RS3QhIFPGKSEnsbzUnxP4yntssQ2ayyFAWEolbeVgnPhjq9wqX5Z2K9p9lzmUiPRAp2B2UmQjKkLgJODPEkhTiBxiaQ4Ngx7fXn85Ox/SEU9qNcbvwZE3zKAD4d9GUeDX7nvzg/8y0HvTNCoBYyizGO2S4+SwjK51nilZIJlb4PvpEsGbq2LrzPQ55k3Y9AuE5clK4wrmMpuZYhnqeosoaOky1gq8D3bKBC47F8YKGqhoh4KGnVBq25oN1ImmgmTrREzEwO2bVzmvoMDfuVPN3Py9CQXb9BMNqBdVzTrimYNmrWUei0m8Id0hgYlFb4ySFm8s4zd4iSgXY/pJ67cdGToD1O6fUmnrmh0Q2phi4u2xPynt3f45fdLvr5/MwaFNtqtjglRoolixTBSDEJJfaSoBZIwMISBIvQ0vm/9fk+5Mgjl6nycTBHCrGnQ1S6O0UZgXC2LbXQWeW2LPW+WqdO83oUiF5HiwF4Fdu65J3aYUpxootjeDx05HRjZ+Lmf/Wc/5Pf6/X/fbDT+1un8vzXAk2gFY0a/duLYV3+2u3y81qhJZKQRSNdDaZMMiSovTRbgntb2ubZgLZ5n7Czy7+lSMqI44DiWyeV2iX+yFHwhT7JaE6WsXea5VjTfk4SBJPAVtdCOZKiHhmZN02qktBsxE62I6faAbRtXuO9An1/+kw0cPDnN7mnrsLTqkmZDWvauGxq1lEYtJk4j/vyLLaRS+NKgRGETaiOcbvX5gZcv84WHIrpRSN8BvDdQdHuKTuhRC0JCv81lOxN+9YcX+aU/Edz75Ga0kaTaptXjxBaajSLNqGbLXcNQUPMFYWAzm4Fn8oytpzTS9bZKYWyjRAbwIuXpQO6cFl2A3Z6XAuA6c0QyPz3NVtrS13nMVSSTMvlqAW77YaNIk2rJ/gPHax/5xB3/4k3/6GVifnH1FzfOtP+/BXhn8RDG6OcunL2/ruSQwPdLfrNECoOSVl+pFLxEkCqRB5k2RVwweQ5ibaye1hlTm/yAGmOq4F7nfWUAz2owskyeUsJ2Ankiryv3fWnrNwJBLbQzTxphSrNuwd1uRky2B2yc7HD/gT6/8r5pnjqxgR1TgplmSZrUPJo1W79SryXUwwjfH3FmcQpfCZTUzpYrgkwbkCm2TtnkyWpcs50xI81gmNIdSup9RS3wCfwavjfB5TsSfvWfzPNv/xjue3qT07+aODXESeqYXDMKNbVIMgxULsF8H3zPSjRbp2LwJE6mYCs3RXEMs5vNAIsKoWSjNIrHokIzB3zJHtauZCLRJie5tGRAxIn7DLGtd4lT6A1GfP7LD9T3XXLRc6WU/G1vfyuAnz361wjRa8we/kyQRsv4niLV2mlgbWu5pavSSyCRgkTZD+nlaXQnSxzQtS76CbUpAF8FtfmG4IYiJZ1VCdqVRLi0ta0nL+QJ1HwIA029ZqiHVj836jHtRsRkc8CGqQ4PHRryS++d4okTG9k2qdjY1EzUBa2apFFTNOqCes1eHDbVH3HffkFvGFBTuIvMavCsCSHVgjjxaNYUN1/V5f6n2vTjoh2sP1B0Q0UYKAI/cPp5kit2an79R+f4+T+Ce/dvItaSWGvXLF30YI4CSRhoy96uNsV3F7e942RKIeOky/KuB3LXP+HkCvmFuhboxeupBp2bCSZfqcuPWdVnnGpbDZrYOS/aSM4vdPi9934qePsPvK7x+3/6uf4/+8ev+j8P8GPHT5HUd0wun/mLPxwOoxcYnaKkxPeM64yRIDQisR0yVoNbFk+VyJeqbOnSnsjZOtXGpY5Nrq+NKZg8S0rk3SqUToawBUVCOnC7IiOVA9yyuO9ZJgt8bCdQ4AqswpS6kxet+oiJ1oCp1iqPHh7xS++d4rHjm9gy6bGxoZmoQ7MmaNYVjbqikbN3Si1MaDWG3PlYwEqnxtRUkSbPwJIt6XGq2DSjeOmzetz5oLZdNJEugVxS8yU138P3AjyvjpSaK3Ya3vGjc/z8HxnuPbiJWHvErgLQlr1aJg9jmVcXBp7E81wRlhQoLzs25O8vuwgzqSKyqjSKhFAB9CLNXxRvFfFSQVpmXTma28cuWI5TW8aR1e5rA2maMhwNX3Ds6NE//hc//qafeNMrT65s3fa/tivc/zLAo8EZ0mju548dO/u9etijUVdIZfCMdn2UBcCUlHipXXK8DNgVfZYdjJKucwcpY2u9HnMX/8kzcrn2llkFXaG7s4pBT2HrMzyD79vG4lqgqQUp9VpCoxbTrI1oNYZMT3R4+JkRv/BHG3j06GY2TfpsaqRMNIwDt2PvmqQeWvavhQmNMCLRI7pRiFASP2PwXINnWtUViMU+zWBoywWiGlMZyIcp/cAyeBhIfM/D97INaA1XX2R450+c59/8gebeA5uJtccoFUSpdiwuqMWa0DcErnfV84qWP+VWNHt8XFd+9lgqzCrvYFI+/tVYqCQn86+LEuWy9EzTMoMXsiVOcWXOrsTZWKdrsLrA+dPHvve+Bx45EkXxv/0/yuBx/yhefcfuQ4/84TXt4BiJtP6uNmYsuLPNryrRJNIeTGsXGcviFYdEFEtdDu4igh+vJymsblOwdumk5Mut69DJBwV5bsyEK0LKqgdrfup0c0y9NmKq3Wei2eW+/Qm/+O4NPHJ0MxsnPDbWUyZqhpYDd71m7cQM3PUwpRYktJsR+48b7ni4SSAlvtIuiCuQki3fcapItMeLboi55OIeR07W2dhwnTKuB7I/dCzsKTzPty18rinkqt3w6z+2wL/9I83dT21kGNdtdWZiaDjrLfSxIPey1Us7iSKRKs1XOCVFCeCiBPLSMlkO6CvEU5KRjrWzzn6dmwVlp2wsw507KxmD2+NjVwzF1x87zZD7r/nVX/qx3Y8dPHPiWZd989sdftMAjwYnEd70RYPFr/52wz/9+on6AlEaFuZ/KWkgpcxtOZV5oU4HZ8mdIgI3JeYuQJ0dsGxJHMvhkC2da8AtDFJltqAFg6cca3uGwNP4vib0NWGQUAsSamFEozZieqLPcrfPXU/Cr//FFh4/vIENDtyTdUOrLmjWRO6VW+dFW/YOLMDr4YgoTRkOatSUvcikKC39ZNlClxRJPKvlvRGjyDCIRQngmiBICXwP35d4SqGknwMcAdfuEfz6Tyzzm3+ZcO+BGWY7bYZNyWRqaCV22kDo7n4u0YyzCykBvGDw/P26N73efD/j2CY/V67O3Ogyi1PEVWWrN3NUcnCXy3Vds0rJhTnbGSGPd17/wdvuS9/40mv/xVNHzh6/au/Wv1uAq+QgkuZN6eDRN6aDx2nU26g4LqrFpLTFTO6eSOMCTYl27kWalmylkiwxbvkypgrwC4ObErizcQ8ZexsnT1wvpxsQ5HnZHJWsPNaCOwwcuKd7zC8PeMefN/jk1zey0Jti44RkY82Bu2Z1d8MFlvVQ0giNY3CrvWthBER85dGA5ThgJqRSj40oORHGHo8o9miHHi+5vs99ByO6cchErPNJUcHI1qoHngW4pwxK+ghpEzQYuHyn5Ld+ZpXP3Dfg1963mdMLUwwmPSYDQSvRNBIIYzt6OVB2oJGfBZpS5EFw9lgO1MsXZkWu5CxebaIYl5bjIE9NOfAsWYcO4GnqKhpTm7GOUkFfK7704BE2b938xol6489XuoPjf6cMvrTSJa43Lz28/7P/PFr4Grs3agajCCEMsfSQiUJJiZTKAdslEaQdXmlliSRVzk5KRcVPLaynLJAsInXGAV4Jgmz5qyi5ANLVPlsbzALbU7oYM+GnBH5CLYgJg5hWfYDn9bnzsZQ//myb2+7ZRKTbbGoLNtSsLLEWYOaTK3cXjrnL7B3jeSO+9vQk/chja8O4jOE4g2cXuSROFDVf8dwrBiTaAnwQC4Z5g68dueZ7mcWpHBBt9tEqB8GGScH3vrhHK5zlfZ8dcNfTM5yL6/RrknZiaHrGgtxzcYgyLi4xDuSOGIRwcUw2SKhg8fUAbh9KMVIZ6GXpacYY3JSqTF0yKCkBO6tH76eCbmqzqEcOfY1Nb9z6z9/0ilc88sPp6iGh/mZv/G8EuDFP81P/8VNs3ji97ezsYy987p6zXHNxQKplIUmEJpbKMbgkkQolNam0zJ4agU6NfSwxuHFfZ4GXGWNxyOojKvi2qeVclhgHcFOMmZDGjXfTOXP7ytZihH5MEMTU/IhGY0gQ9PmL2z1+439u4sj8NH5YY0tLMB2mtENDM4Sm67CvhzbbWXMJIVu/krqVwMqThdWUXhQQKEUgTR5gZh8js9qsS2ATPlHiU/eHbJkcsNJvMYiFG7dmYwXfT53Np5zdqVxzdjlwtZWPr39+jxuvnOfX/2zIBz6/kaWkST/0afqStmdrcEIPAkXeDOFlSR+38slcqhQJIGfjr5Er5URbJimz5FDhtJjCYTElb7zUYJExeJyKnLkHKXQTwShNYTTioqkT7N3y1RfC4jbE/KGv3H+cl9x00f8mg5uUd/3y8y66/9HH3/2z//EhrtkhUMGIMFDuijZ2ApWL7hN38C24rUxItSCV2nbY5Cnf4kSbrKUsezTYctextyLI0sqOvWUJ3C7tbBlcl5g7dSBPCDwrScJgROgPOH4+4T2fafLxu2c4en6KdsNnugZTYUorNC71noFbOnDLPClUc9o7DOyF026O+NjXPA6dqFNTwmYMMweFAuXFimV1eJx4XL4bXntjlz/+3Ay9hkc7NgxjQxi5uEFpPE+62YyUQO6XzpVdFXZtkPzi9/e5Zs9p/ui2aY6em2ApqdP3PZpK0HBAD6SxF45zmVSJJGQlrqGiydcnwuzRrImj9Pi9nAgymUSxDB5rwch1EHVTQZxqTDqEeMB0S7N47kGOz7/w3b301a9SYvFvlCrfEODG9IE6Se/2HZ35B/aePrPMBz/b5qYrVrjhkmEBPJGBzSBTQyokqZQo6arQtCBVEm10DvC8kEdb6BaaW1xQc2d/SwiTs0smSzJgW9ckY+8U30ts546XEIYjAm9EN41414cD3veZLZxZnESrOtMTiunAMBFoGo65G3n6Xro6FSdNnHeegzuw2ctRHHHodEgvCpkKnYuT26bkiZ5ysidJJXHs0W567NkRocIh3ajFIBDU3QySwMkr30kUL3M9hLpA8KrYONHnx1/f540vOsf7PrPKez46w8KgycCrUfMUDU9QV4YwMZbNpZUqXsbkokjj5wDHVJ2VcbxUgJ6NqmBMijodbrLq0YzBBbGxLXL9VDDUEKcpJCOIBjz3mg5v+84BoRpw15MP753eNLHj+1536/Gl1YjpdvC3A/iJU/NMTbQ3PvXM1Id/7rcP+CcXN3LifMJ/+iPDf/9XK+zd4nYUwzKJwJBm0iRVFYBX2bsAeCZLyuBeK0syz9uUAG5yiVKAW6OUGzfhpXgqJfBjakFE4Ed0hhFfe1zyF7e3+ejdMwzTFkEQMBMIJgNNMzA0QkMjKMBdCyVhKAmdNLGJIedMOIAHvs18HjtruOuhBlHsEzbNmgAzuxUsZrVlFCt83+OlN3b54Jd6HDzdZFCz815GviFIsKMzIo1Sdk6jlRGyGO5DIfVSLUm0pBF6bJ4c8G++p88Vu0Z84PYWD+6fYH7QZKgCfN+j5gnqEkLpbNTMXpXG5hPGWdydh1yulMjIlN5HBeRr7qJgbwfyyFjNPdSCgQatU0hHEA25bFuPX/7xJZ5/dUwc1bip+1V/+76XfrjbW3mWiVfm/9YMvmXjjLz3oUM3veeDX5t45vQ0QUsyGgy5+0nDPY8O2PuqEYEvC2bFILVxB16jtSoBvATqvKWsrLmzjNlaisiYw7adZUDXebmnHY5v8FRqAa7SXI54XkynF3PPk4I//Vyb2x+eYKnTQtZrtOqKSd/QDjQN39AIDPUAx9qWueuhpBYoaoGgFuAq9LQDtyb0rf5W3ohnTsOZTs0mVpy+rSZOChBYZstKSyVR5LG5Lbh054AnTib0Y9+OaYghiHCjolMnUbJEDcixzpw8de5syDi19eFveemAVzxnmS8/0uX9n2/z4P42i90GHRnQCzwCJQikIJTYHk5p8ITJi9UyC9YG9n+TfViwefnCyzW4gdS4JmfXBzpyDeixsS1zpBEkIyQjbr2ux/OuTBj0m3R6TbZO+CSLX54YqvCm+sSVn+MbDA/6hgA/eepcWA/MHySdU80rNsLZnuQsNVZWYv7iC21uvX7EpVsitM4SLhqZetYH1wqtNWkJ0NpNcc2AnnWQVK76HNQlgOeBTtlrz4Ct3WOKkilB5mbImPluwp0PeXz2nhafvGuCudUmolbDb/m0PZjwbSdP3cfJDqgHwt2lKzl1ujsQhBl7ZwD3EoIgoRZEGBPzlYdDTpyts2Fa4EvtnAhRNPqWUGDyXICVFIORz+7Ngpde3+fjX4/oxT6DWFDzDUFiWXwUm9IqpXK/GiErMsXeZd6oYLOmHvVwxFtePOA7blzkE3d3+cw9De58vMVcp8FABAwCD89XeELgS4EvJb4wTmoZJMJJrlJi70Igp5AoeRWi+zp1TSupgdhYaRJr0FqDSUHHoCNIYvZtG/D9r+jTanosLDbpdNvMLzdZ7q00r2jIPxils1cAg78VwA8cPECv16ddG7FlStCPDfNDQVyTfOXRkP2HfS7fNsLzYvtJU40UGqkVRqdubIPMgV1MjhWuZ1LkAF9zdETJMSmBWwrtmoc1wgHc81ICL6ZWixmMUg6egeOzig99cYLPPdhmbrkJfg2v7dNQkpZvaHmaum+o+1DzLbhrvp1JaMtMZeku3PeNA7nOQR74tj3tyKzmiWMh+L5b5gsHRYylBTN2y5wU66bYcc5X7xlx5Y4eB840GNQEjUQQxoaRwll72rF35qZkFmShVXKf3VmRWis3fcBnGPnU6yN+6JUjXnfzCl94qMdffanB8dkaB840iFZCktBj6HlIZeMohft7WG2uMnlIFkCvDZpyuzdbVRCOuZ00wbkprt7I+sIJaHc3MZiYKy4Z8eJnRUSDBlor+sMac0tNjp9J8NuHCevfeIuUCwL81OlZMRwN//mH/+pDGzbPhEDM8aWYeBhDP3aVXxKkRqkEMEjhobVGrQF3lbktW2fBZLX7PWdtjLMDy/LEAlwKy9hhaCepJmnKuUX44lc9Dp+uc+f9dc4s1zky24QwRDU8ap6i6RmanrYugm8IPTs4PvRxIM7u0t2VAzhOcztw+ymhb9nbXlgRx+Zh//EGvqzag1XtOuYV5w0E2dwQnyt3D7h0U58njyb0E59WLBh5ELiZgKoEcCkFQsoKk0PVd85lUKmPMk59Rn5Aux7xAy8f8fxrVjmzvMpXHgg4eirkCw83mF2skQ58tPSIAwVSuWDZVmZJsiRb8bguyEsXswV7VijncvEmdXddPM9BntqSipZGRxGJGRCdSzh1XjG3LAmOHNrw+je85Z/Pzc2+c9OmbetaExcE+IlD95Cm6fdOBEvN6a2GK/ZoXvTcOe58fJUDxwSn5gW1mkH4AuXmQGudkqYKI5WbSyLQRpWWzTK489BxjS7J5lAVrJ1NS7XLsx+mxKnh6CnBE0cVX7y/wZPHAp4+Vmd1FDKKQvADVNsnVIKGgoanqZd84NDL6jSysllbFx46WRIEiiCQ7gIwhfb27UEPfKvza0GM0RHnlyQjE+J5kkAavCxRMqbBoQB5aop+x9T54QKPjdMRUg3pxT59T1inIy4KxjylKxlImZnUANmwIwppmGZlAa530ncj1KLYpz8K2DIVsWtzzA0XjxhEA/7xsQ5PHg/44n01njhW4+jJkDjxMKEilXaDsLT84bLVoziB+Xi8whIrZYIycKMLYOPMceP6F3UKsWY4kjxz3Of0nOTJI/DFBz38OKERJCx2zjXD1te/Vyr1zv8lBtcrf0G3u6KeeuqkuHRXFyEM0xMjdmwa8h03dRiImEMnfL5yX0iUwHc8ewTGEASaeiPNGVtoQRpbJsdJkzXsXWohySAvXQYSZz3Gkd0rUwg4flryl7eH9GPFo0/XOHwqZKEXMEoD8AJQPqqtCKSgrqChDDWFHWemXOGRsqwd+MImPcrg9iWBkyVhAGGAc01sytxOuU1cRjSmXouYW0754r0tOt2QqQm7vUpWMpDhYA27ZUmQXItLRiPFhhnFK24e8oUHB5zsNBn40soUD/zE4MeZZ+08dplau5DyrBOZ/w1tvNLfsEAPUkXqKRJfEacecexbK9WPaQYxz7864blXjHjDC4c8c0ry2H6fQaT4wBcbHDvng5D0Bx5pJF35psR4patYiDGAlyvlqiAXiUFotwmBMdSbNiEnjOE7njPihssTfuq/THLkeEDHtBnpOhdPazY0beP0anJI7Np3hfrPf/DZ5Jd+8tXfHMDjBMJa/V27Nh+/tlMbYpDUghilUiZagnAq5bGDPn/16Trv/usGmzdqDHD9vpi3vGyYV4ptnNRcd1VMs2aLcAq2Xn9Jy1ySTl/w2OMei6uSek1y/36fT99dYxgrhrHi7LkALTxi46OFD56HCD08KQmUoCYNNQfsUBlCZWwNuOc8X69g7iDry8zBrVyPpsjZO/A1QZAVaKU5ewdBjFIRX31E8fGvt1CBZ+22iv6+MINnXniaZo6HYjj0ed0tAz75tVU+8JUJekmNptPhfqbD4yzjaPJuISGyKyk7trIkD0oAd13wiWeZ3PcUiefhJakFukpRyg7Sn64n3HJZws2XxRgx4k0v7jOM7Z4/n7o75IH9AfVQsLCqeOzJgNW+dCppzBeteIkW5MbY/tXrrovZMJnaxpfU8JaXjbhuX4wxhq0bNUux5P5HfY6cCmDSw6sJZnuS1chWp54a9q69+sbGuxBm3Wn6awB+bmGJYGaq/ccfeN9ll22YV1fsjEi1bzVvMMILEo4eV3zgMw2OLnqkRjK/akXmM8drfPorLfsBUpiYSrnp2phW3b75C/fhuIPiXIeVnuLBJwJWOxLpKUZaMTLKMpPwsHOBPZAKKSW+lBbM0hBKTSAtEAIFgSpm9FmQF2OSfc82AmSNx2VwW4Z3ZbV+xuBp6Z4QejHGRJxZCIhGNcIJSeDS3spV5VWymFlHD1DOA2TMmmpFFPtMtRQ7N0QEYsggCRkkgrpnh2BmNSRZQkvJcnmrzP+W/RtZcK9LQ/C1K3orjX9IUpc3UDZBphLbAhdby9WTKVIl7Nig3YqhuWLXkMgMkJ6m0xE8+ITHSt9WkZabO9cLPwVWhTRrhudeGzExpa1KMdDw7E4buKz1lNF832sHPHqkxrHzEYk3ZGFYYzmSmCTmRZecVW+49fhlV1z9k+2f/ycLq0Jt+MYAP3xikZOznXf+5SeOvPhHXrPILVcZdKqQUhObhKdOCt7xvik+8qUmWri6VBfcJEDHJX4QsLpsOPvV8qdcB+C5fhT5cyMEOttyAWkBLaQNdKQdSuMJgS8cQ0uXdnbAzh9V6dFznfQKt/UeObhtW5fdEiUMBIFHXmJqGdyxuKcJXHbU92PCMObUgubPvtAEL8CXoggwc3myTm11ySfOhoRasNnBOlHs87ZXDPjEnQOePt+il/o0Erspra0CNEUnjspyAqVgLzumeY22LBV4ZXed18J4nsJPLZh9B3Qli6SZUilS2udSaBcPpXhCI4xmY0PzmudpO3xJmPz844yC9U+9fX9CC3TiFRdE4uZECBBopEp580v7JCm8448Nh2Y1oyhCC4nSCZP1OS7a9siLSQ6/ExP/07+Rwe+5+9MIIYNbn/UMN14TMdBw4Iih0xccOFnjvZ9s8cTRGlo6JkVmfWLrLkvpN2JsSpoN144z9ijcrmG2RsKC2hcmlwKetF/b4ZJZU22pkMijNAclY+2iq74AuMxlSxiYvKUtCHRpcE6C79g78GKkjDhxTjC/WkN4HqGkIk+kqB6WUqa+0tRR1sdJqogSn5n2iN1bBhw4N2KQegxTCFOBnxr8xOnwJCsy0yX5q0pXk8gTL9bVKhq4C2mk8VJNqgSeZ/++57LCVq6Ucw1uYFD+N3XxPNKVPEX+1yvjKL7RCj7Oe+53abu6fPeLhly+e573fKrJ/hMhqz3JwcOKh56UvO9DS1x3zW2B1mvRtgbgb3/N1wCB0rP81ZfrHDgW8om7Q07OeejUI4pcKZqnQDhmzQFZHNgLglqUv18APC/LdM8zgHgCfOe92qSDdSi8LNtWelRjIM9GRHjKveVSw7EFt7SPQQb0LPh04M66fzydSxTfs/o0CGISYj7ztTrn5+v4E4ogkybSVB2U8SNSKS0VY0GgYjiyE2xffWuPrz0+ZDWp0fc86okmcitUVhBVyTIKTdE5lAWaxagNax3aBvFUux5ZLfC0IFF2UJOXVWEqbatCywBXjr0zV8sBPM8s5+AuSiry3HQZ6MKsh4z84AjH3kIaBAqtDUolPPuylN/+mQ5aw6k5ySfuCXj6iOJX3jPJhq2n1m0cqAB89thHSGT7eaP+B278i0/7/MafTrC0VINQFlKkLh2ws7uziSrt2GINzIulszjh2T9RpaSBhCJFLIqCJeVe89yMkaJjJwM7+SiEMrDzOSgK24+4HsCzgDPT3V4mS4zT29Va8sCPCfyIcx3Nw4fr4AV4Tp5k6fmcwVm7uFk3qWiiLlhV5p54HPtcf8mImckBneUG/UTRUOAn9rOo1Nh7XAa4zSbnfyobIV2eVqWNY3OBVppUC3xXDJcqy+SJks6K1CWtr/OgVsoSc0uTAzsHeMa+eXFWkcsoeK4MxnIRV+lzpO5RGlTqEcepvfhkyiXbNP/6bUMWF2F6cpGHju++8Sfe9obnrfyTl9/zE28puu8rAL/jMYHvR6/58lc3Xfc/b+uzPKzDhANyLkVkAWg3hldQOpmUyllLKJcUBfrZz5YfFVVgSAfq4nnmHJB7zMqB3ctb1Apg58/z7pUC2FnzrWVvp7k9cr2dWYKWsQtw+3l1Yowg5ra7Q772ZAsZegRS2PnbeQVhUW5apLTHs5nrjUZTpFoxGPrcfNWA1z6/y3tuaxGlIb1UUksNo6R0UYuSTJHSsXj5T12IyUF7shi45MCdKolS2jK6lG60hHZkokslElnJhC7qxqXOd4rOGLwqVygBvgB4/r0S0xcXiL2n0kqiOM1+f4ocGtphwr96c5enz3av27Jj/jVaR/esy+CHj51mw1TzFe/6sy99/4e+ollONkKtzMwi91pliXEVxfy/LIAuA7c4zKZYrkuPMnsUpvScvOYhW4YzUJfrlZUiZ3Mv66DP2LsEds91w2T7bGbgtuMUxpjb9WwGrr3N97KGg6R0j4mI+auvtElNiMqzl+UAs+hrzJyNigbPWDyfEiXtXL80CzY9BD5veUmfP//MiBUdM0hrDFKBn5CzuJQGmYhcNli7cLz2SJasSUGlLttzHe/KgdwzKC3wUsvoKjWuW0vbx2zkmyxkSV4qXWHyMsBL81ZKAK6weZatzi+E8fqjQuPLEvhHsd225Vk7F9CN/vdPbPnOO7orp7/QmtxRBfhyN8JIdcnp+e7e850+Yb2Wa5py3YHEVCVFhY3NGgBXHi8EclH69xVdWb5Xy08zxs6bm/PpVQXIlRobduOAbTeSFaX5KJa5fT9rTDaOuYsA0yuxd+hHPHxYcmi2hlE+SkoCqfHGVh1ZEuDjLgoVDV40QGRJnzRVxInP3m0xV17c4+vP1IlVwCAR1KTdRMBLhJNurgsncUBAWg1bFQElFhclaVRMpsoGMnlKkyoLdCWMkyl2GxqZlgd3ygLcJalSBrco6fECsGVZslbG2BWoCvDs++VhocUxFRjdoTUxtzfwupdo0fvCGgY/OrvExOqAuZUhSkBbmXy3XFG+uzdRXnrlOkDmQiAX1d9T6YgvAT6bKyhEkREs5gza3kFZBrnrdMmZvDSmzVOyAvDy8B/bbU8O7DxbmTN3SuDZxI7tCooxxHzkKw0WF+uI0LO+e2llWVODUpyHikWYjcgo13Hn3rRWxLHHhmnJm1/a5eHDbUZpjb4KqKdWi2exipI4cGdrhXaeeFaY66TKmB7PJxqUxnhkwzSVNnhuhVC6aCaXef9mlbnz7qoSyMvjmbPQLAM92Qov1gKcCjbMGtBnKwGl574SSFYxySyk/bUS5df/4DakFCwurrKl5RF4BQOUS0WK4LA6y64C3HVAXP45Of6zY1JlXRbPG2GLaUxyjL3LE2Qti0uUVwV44LkBQH62daDLcHoGP0/Fa/c8rdw9ZTt3nj4BH769xUgGKKmcZVmdyTKewRz3lSolpRUd7rR4qkhSjzD1ePPLh/zp5/o8frROrHz6UhKk2rlHApmWj5lBSJGznr1p97eq+xZVumw0eHlxlpvjLm1JgEpNPqyzPHZZ5k6O/gYAL8uMarBZZnaEWft1CUPjUiZnbndsIzGBnj9Ev/t+N2GtBPCTp86wc8e2xs/+u3ftefDRBVa1xpDtLVkUro+DfHzM1zhLF1fpBcA/pruzk1T5WpQmVZUAlLO4GgO4qs4hVBmDuyRPBdxZ+t7PGpO1nRmSt4hlPZ2Ju8coP+LQGY9uFICy5QF+WX+L9T5nFeHVgUZjXrguD5m3WrzpCy7bPuTxQxGpDhnogFpqa7Y9p8GVsNuW28RSxnRulF4J5CCKDKerh/Hywab2NeUY3R5PuzuFzFlc5OxdAFyU9He26lYBXwH0GoZ2jFwGcQVT4356VXZpI9BpwGq/RnNq754rnvPPG8tL/74/Nb3FAvzcufN0u6svv/7yTT//zP4nUQhGSTFCaxzg+WOZoURxKMdBnb02XihfcRkqgLbBWXUwZCZTykM13dixHOBFt0vG2uVdjH2FdVUcuC2Ai6FAflmelNlbub7OIGKpq/l//rrF4qCGCG3td5D58HmMIKoEcIFb3vGi3ZiMiga3jkqSeLQbHj/1XV2+/HCbxVFAJD0GUhK4HsrMXSq6bkQJKJos02zQDtyWwKrOinAMbkGstQvitTvGyuSu1VqAm2L1KIF8nNHHJUfulYvChMgkx4VkS3ZEyy5UmkqGI0Wnq9ha2/nzx48dvieOB5/IGXxp7iCD1YBkcIbJhiY1CuPGsWXL2PitDOyKdMnBu07AeSFpUmHt0siCskyRxbzBqlTJWHwc4Nbm8pwk8XKAZ5pb50Gl7+kc3L7r5Sw68i24fRUTBBEf+orPU0fqIH2klIRZaawouUmi1IcpqvP91oC7HGyW2s2066uMU48k8bl6b5/XP3+VP/1cDe2FDGRAKEWe9FFSEItMNq5lclFm8lIXVbkmRitQxq4K2ggL7syC1ZCW56fIzLkpNZwLx+SyKk/KgK8wdwX0lJi+rAZKFmJeAgCU6niSVDKKPc4vCmZXZ5k846HTuJAoqATpSYZpSmdgu0xE5loYk4+XqTD4OMDHmXwdMBdfi/zDltmuLE/KLK4EdqxYxtzfEOCyAHie6MkAbuycbCdFfFW4JX5pOFChuS17+56dWrXc0Xzqqy0WOiHUnHsiigDsQhKF8YaAUvXoGtsuswyzPXFSuz3fVFvxnS/u88mvDVnshUTKY5BKZ08K596ISgwjyn/MsXf2ks7ZPFulBV7mrCj3XLqvJaQO6NqtUGkWcDrNn7O5yBpTsmm/FwJ4GeRF0LkeyNcPLqtbrShpaLcidNCnUR+gtQP4Hfc9wfbN0xd95HP3/vSffeIkRIrJukvIyOz4lCPWqjypaO11GNsCvTQOrMLmohSQiYoOr7B5aaRYNhK5PPu73OFih7tTBXe2s0HG3KrE3GsYPBs3UYyc8JTNXB47LnjmRA1NiJBe3pxbVA9WL87C1SgYoFyLUjB5sfFTZVuQrN0s9cB4XL47Yu/WIYsH6pg0sCyeOs9fVOeZiEyq5DLSCe6sjBZcs4EoBZ+gZdEgXMwudLpcWhaXJTclFRm4i0dRGkokdcHuVbauArz8WiZZKmqgHKxXUv2WjGtBwiU7hmzZ/Ahbdm/66XDmOx41wwePe0kq6A+TLVHiveLQyS6XbGmQpG4vF7BJyzJDj7P2OgxetDJdgMXd75TjwM7+bUV726+t9nYgLwHaMjhuFHDZBy/f3ZbWqgzuEsjdfvW+cqzt2Fu5rz0vRqmYz3y9xaGFOgSFPPFLwe/45xwfF7GeTNFrAs5isydd0uJR5HHxhohX39zngacboO122QMp8VM35DOtSiULDFHSrpltKN2AHlEEm9lz6Z5Lt6rI7C4si2uTr5563DnS2Qoicm0uSqvK2iDzG4G+HHCONTmP/bzNi2h8XyL1Mhj5ChOPtujUHPdqvsJXiqm6x/ZJSU3pIqs4XhXHGGAplt+1y/LYxSAp+vjGQCBc1i+fhyeyr0UO8jJjZ0BXyoE8lyhj4HbVhHmF4TiwvWJAUD7izdMO5ImVJyqm3oj4+kHFJ77aZDAMoOHhSYEvqtJkPMAcv/ir6F5Hf49ZhmVfPE48Jloeb3jRkM99rc/9BwNM02eQhrbCMq/ZEWvYsQB3AfJ80TfYoDO7wJTbel1aPZ4BPM1Z3J6LNHNUxqVltvradt1S07UpEVopRnAreeFzF1ioJnvKmjwrD7ExANIetyhWnFuYwp9pM1kLSOIaXt2PqPkj2rWYqbodzpg5AutrSrEGzOOSpeqcrPPz+V2UDk7xwQpWHwO2uxhy9lbCzQEvwJ09+p7Jtw30vGKEsudlFXNVoPs5W9u7cs5JEETEUcrn7m3w9MkG+D5CKgJBvrlUObgUcux4jUs7SgEmojR2uOSFm2xQksw98dRVcl6xK+GVt/Z47HidURKQSp+BVgQpY+8l88IZY3D7mClPo8Y9eY1WApXNq5ECo0BmF6Mu8g/aBZhSi8JF0aIiM/NjQhlLGbizc57JkSIwFqULw0pcM/ZvQQuQRqBwTlECSVxnaVWhaylpbPC+ft8HaDYkTx2ISIxHKzP0VVlTijFgjunsMabOtR8XuDguAOoKwEsNtZn2Fu7rfOhNmbUrAC8mp+bAdkC3M/5MztRe/lg8911w6amYMIh48oTgC19r0B8E0PSRQlSswWza65os5hr6Lp7noY3zoNcrny3mmqi826fVinjlLSM+eeeQx46G4AWMtGSYOkdF2+1icvciX1EtoEjLYK+uJp6ikC7Ssnm2qkjH5NZ4KICeeeBlOSkFCF0ch/VyG2SPZCUNxVChXHM7jOSukGNw6RJZUgi0MC6GcG1wdcFDj93B2c6DBF6K9+ef1iAMOtG0wmJ5Lwz8tV71+o7IetJknQtjHVALir9VyBVRec1G7OMeOHmBVZZl87KCK2kBnc0IXwNud/dL9c/WHkzs3XXtJCbltnvq3PVkHWq2TS7I5ImoBpcZY+d3USWB6q3E3qU2tmw38sxRSbWsAH009Hnh1X1e/bw+T52okSQ+RigGwsNPKd5TWgJLWnZU1jJ58fcNSjnLUFo2t18LpBZWh5f9fmNliJIiB3Sxa1uJGHUVQ1KU9fcF4rRxzJTdF51dTPYc2DjCXpiDocdlWwZctTPCGIN38UY7pH4wFCyvZrJErHvVXehNMQ74CzH32O+oMne2tImCwUWxmZRUpYxmOZuZM3cB7mxXB28c3MrkgPZLoM6cE+uY2EelYgI/5tHjkg9/pQUEIH2EULYlLrMGhRk7RsVnymCV1RNSSlTkNSmUmbukwY2bo67c6AfXzpakHsZ4vOUlA75475AHj9hJArFW9FPhCr7ce0kda5dmF5TXkKyiEcUY0EEZ3AVoga2kRJXsTKWcxpYFmwthdbtl8JJdWZGdVXenEgyvu+qX5G9Jetm/IdDSuPdh9/0ZRT6dQQNkAMbg1UKraY0RhEPBuKuxBtglRsoHzqx7xX0zABfVD+8kSFWilJI8mbYryxHhGnArILfM7cuq5q6wdv6YJXYKDa5Ugu8nxGnCHffXeeJwHXwfpA0ug3yc2dhxkqK62lUAVZUnpvQkL50t1YhUqgtTiVbOUUk9RpHPVXuHvPAmy+KD1LL4SAQMtd2qMXczUpNrW5wDUfB5kaIeB7gx1hQwLnVvpNXm0oicNaUsQC7KYC8fC11K+kiQlVXdFDgox3Gi0OKyDHAoSHCs8tRixmC0IEVhUAg0XncAQhriyJWkqkL3FldgKSgoBwCVq63M7jbSLV8AsqzN1wF5prFzeZKDvJSmlyWAlzp6cnDLbPITJQYvgVsV4M51t5v1V5EnylYNHjoreP/nWoxiHxq+kyfkrWlKlHYJFlW2KZa1CrarurcE9MqgyvKuwmY9Le7RDCU/+Mo+t93V5OAZe/GlWtFPla0yTEU+TxBhEKlj8nRsJcmgXgo4s42llLEBphEGaSy4pbT6XDrZIqVAGHeOcnA7+VICbAZ2ITI3zeTnez3Wrros9sVc3mjyz1XI6Eyb2418PT+xn+F3f+e/b1bK+6/PHDpxuef2cM/2lKzYb1Lm2cLyfi7lTYyq3x9zO0Rp7G8l6yidGyKL18quSElj5/q61HOZB5SVQNIxd/5aNgzf5NZg7p54aamhIXaPEamM+NNPN/jzL0xCGIKqoZRHQxnqyrhxFOQNzn6pNa7IpJYTUbI4pqrqVOVBfSkjml20dphAVoOdNf8ahNHs3BJxZkHy0BMBiZAglJ10IERePlB1tjLJVFpVKkVGonTVOZZf0xQ/ptvHmF/nGUbG4ouSLUpWAlK+j/2Mc5by72s3yLM0qbhSFenIQQjwfc2uPddv2bPv+V/yjh07OTnod1/lyZha6K/xoi8UTGYHbF3JsibALM2wqzgoVYmSX/2VGpRyEZOpyBPpWDsrBMq341Dlx4y5TTWY9NJ1H5WK8b2YZ2YlH/xyAzt/xbK31d4FOKWgOl6YEkONBZr5F7ksGQOHrtaGlDcKMFlW00h0qkiV0+Kpx/e8tM/H72iw/7QPMsIIySj16TtrLZeBaZYCFyW4mrwAIwsyx4NPlcmV0mPGzjbItMypdSFZsnR+rrHLQWYpcViVH2PyTkBaqVAV+QpQVgrVnIlxQ0wjplb6r9KcnvQCP6URaiaalmGyq3mNAzIG5vFgkjXBpchfX6vjq4FlWUuVpVGxA29RMacc0JXEZTCzPWaKLQNVSZ7kYHfMrTKJks39cEGlJxOrvVVCqhI+fU+T/YcK7S2EzEdWFNKEwhYrsSVjx63KmtXhCeUG5GKOSSnpo4vOd61lyR+3UuWKS0a87nk9jnwwJEpt/2wqFEMh8Z1MEXmgW3ruNLnJgS5yvWSMQOUxgVWzmQ0nM9ALF4AK4QBvC7RyQLvjoivnmwpIx4+bruBrnFTN2PeqFwUl2RxHirklzSBN8GpuY6V6aEdAlNVZ5YQhKr9IVL4vqs8pAo38YhiPhDNdLljXscma+IvNpTL9bYrAMivIzyc9WRZXFXAXAWWmtVU+98MleGRqN0VVKb4fc/Ss4n98rM1Q+pa9hVfqms+C21JxUTn4LgVM3+hW2Wir5IWXl9si0JTF3BRlZ6+n2iNJfcI04Sff2OOv72hwZNYDmYBIiYVgIOw26vn7JEvbZ2/QVN9QickL9rbvTcqCzU0GYGPPhwW2QBpjAS9st1DFFxegx80K1gF6GcQU4JUV/JVxaSr/zhgYDgXDSBLEEs+4NTLTyuXS2PXkRiZLskNUWGIW0AXwizck1wB8/edlxs491UwKlBm8rFVl4aDkIHeBZb7TmmPrTIsXAWWxI4SnrPZejTTv+WSbM3OhlSfCQ0hZWIOiWGny51RPUOGglLee+gZAzwFfbjwob7WYDe6RawLOJPHYsXHEj76+y6+/P6AT21HHxkhGWlnbMM3OkbMNczYs5Ei+tmR62H1HuctAZmxuBCYDtTG5i2KE/QxCWnYXwiZhpBE5M69npQphtXUlSGftRZCOE65Yi7/sI6S6IFmvrAezTvCcgEpMnTMTVaCPM3fusHyDK3S9rys1DKVu+iqDmzGAmzEmLyRKvtOaLCVyxic2qQQl7d1TMV4Y89HbQt79kTYj7Tt5olBCEgjWNhWvk5YvLu7SixeAuCk9KazCasdPvvVLKbuZl9JKRSo9al7Cj7+pxzMnAt73aavFQZEiGAqJJ4xN/GQp7wsweQFqUbzBTKpkksQYlHGgNmCEuyidJi8SPhlrQ1FNaNay+DpAXeOo5Gw99jj2moBSqYRtwPbmlxOWOjFRrKmFIk+0VMFc+mXut6355SXbcD3v8huxd3FAytOaTMkmNBcGeIm5Zcba0mnubGMqr9igqlwlWDzarOXSMvz1lxssjxy4hQV4Ph5OFPbkhZI76+K59HXZUSjbgzh3Ie9+11lLmXS7BOsxcGfbxHgkqcdEkPLGl/X5+D0NFrsKZAxGEmufviglWVyQWQ02RcHjppSuzwNLW1hVZF6tRteiLFUcgwvL5tpkx6fE5rn151aRErDHwV4myIJwx6RL6TF7rrDzbWYmNTPTBq9Zl0RDRaOmCHxV/SPlJofKLxTrALx4A3KdN3NhgJvKFV/euq4sUcqgXgN0ZRyYS/q7pLM9mZaylwV7eypxjzF+I+G2r9a4/4k6Wvrk02uz4LKUtSzuprhAx1lpjNnXJ3EnEcols26v96KEtXieB51GonK5Yh0VTyc89+qI1z6nz599JgAVARKDJBIeA2F7emQeaI6vJsKxdTXwLLS4ZW4jSwGnY++stDY7jzmbOwYvNHiZXYuml8zzJge8qeBsXFHkLL4OwNMUEgHdviSoCbwdmyUNX7Eyp9AU+1Vmv0mUzsX48zXsfgH9JEofbF15Isg7P8psXvQampKTUgV5tquxkuuDW5WsQZltMej0tydTlLSD34+clLz/thbnuoEtqZQeCKth8x0bsvfKWo85Z3GoAmh9dVJhc0yV2cc93uxuyjIlY/FUoqVta9vcTPmh1/a454mQI+clBDFohRaSkbB77RQ1M+MsXlxw2ZtTDrx2QmCmxR2bG2ya3Nj0vBBVoJsSiHWpQAqqBVV5vfr485IqyOPAUsvaGoC7t64N9Acpp+dSBonG2ziVItKUVgOGcTGrg/FfwNrXLqSFKAGhuGLXY3KzRp6IjLlLj2W2liWQj0sUtS64iwmpSqZOd1tgS2WHaI5SzR9+qM1dD9dtb1s5uBTZ8M/Coqy8d7H+BV1kNItjVT6UuS1YAnpeQltyVHJgm3IZrS4FnAqZahLpoRKPF94Q8WNvWeVX/jBglEibgdKSRPgMsAVrxYq7TmVheVXBLvmV4FM6NneZaRtc2mNhTKazx2qYpNXu2WvZlkxrj5upsraLF+yBK2arlMTymoOqtaE/SFheTUAleGfnJcvLksEIlFdoqXIMskZSrgPwMpNXU6zryROz5vm6GlzYJI4ssbkaA7iUhe6W64A7S8WrvM5EF+6JTPCDhK886PPxuxqMRj7UPau9HXuHuTVYXWHWFKGVwV0CtECsSxKlMpAc2IX+LYqvcutQl2vFbZWh1ApltBvUYx2VeiPhjS8ccPtdA774oAIVu5MgSfDoVyRlBu4qyA12qFB5lTEltrasbtnc7k4jnCwpmhqMO59GCIQp6rfLdSbjpFfGUIGztXJlPelcXgnDQLJh0mPDjIcXp4oktZu1+mN/bA1zV56YNcvEuHc5zuDlZT2bm1EEItXgMm96Frrwv8sMLtZh7ux5qQTWAjktHl1CR0k7JXalZ7jtngYHz9bsBE6nvTP2zveIFKWLTlBtbKgct/KJ+Ab6JDtVriaccQclZ/MxBs+dFJ1bhlIo0jRFSo945LFvS8xrn9/j/v0BncilX3WEQRALxdBJlfXKZ8FqblxQmbUtkr1NTKkZwkqCbFtBIx3QhXFSxVb75eeesjSx4Kj2XlYJtRpIFox7oXAmkzW2N9eNDsk2hZKu1kNKw990+5uEfg7q8tclsBdp22qypMrixQSlvKFAFmw+PvU0H/Obg70Y2u55Tm87v1tJW3uiSfmfn6nz7o81McJti+LYW0HJGixS8xeUJ5WTUQL5Bdi7/FiRKXnthSllNMfKaPOspnNWpCQ1CqU1ceojlebH39Dn8KzPuz/uESeuvkBYIhsKaTtvyILO8b7N8pkuMbso2Fy59ySFBbp04LdMLVwW07hg00qZar+lACdnCmzYvzeuEL5JqiCrQrX7Qdnf6Rltt3Dz3UzsDIxlj7Z8Tip/LAe5WeckZx+kqr+r2b91gJ3bg3oM6Izp76IAqQgydSnILDG30AW4s3qTIObwOcnH72jS6wVWmshsP8gisVPMKl9n7neZOShdyBnTiAufmLIKXFOfQom9TcHi2d12vpc88by1TSKlnWnYaia84UV9Pnd3ncNnXYZMC0ChhWCEHdEp8jdQMLnJalHy9+Eym1lCx4FdYhzoRW4NZufQOO1tHAa0W/WKctkqc2eArxzTysETpYPFOs8LkGM0WtsNZr0tGwPqvqK/pJHKFB5o9k/+BkJfl83XZe9qZ/UaDV6SJpkEyZM+a9yTgr2lzEBdbO2dgdu+XmQrM4niqYRRrLn9viZffqReSBPH3lI49pblwLIYelO1OqspZMrPv4lbuSovB3r5rm0Za5nFTSX542SKlmih0KlGC0Uy8njZdREve26fU5/1GGnXnSti0JDgWalSAU5ZrpROvmNW4/xuRRXoWhgbvGayJSMC44CeaW9jf7bM2EWsZiqkkVuCFwRz8XJuaxq7isRRSm8oaEUKb9u27Su+7H9udVr+o+EocWMKSiA3F/zVBcjHg84M0CWQUwY25S0+yvPsnPYugVqI0sBHt31GPoxdmar2rmyclAWXOg8oM/0tg4Q7Hwz4jT+ZINVuSxbhGFysn5Zfs+qUL96xY1AB9zcD9DUVhlkBViFJjKxWGqbazuwu14xr6cBu7LCgIND8wtu7HDztc+cDCh04Gs2CTqMYOpQKQ6Vf07gTa3CBpLElzLkH7mpTstERRpSdFAf8So3RWGKnRHqITOaXpZ35Gw9dxYly+w8lqSHVPn7Y/NyOHTtW1FteM9kz8dkjnjI/FkW21KvsFJSnupaLoyodNll/YqkZIU+zZ7UkqrT1iDLFa6Wfq6TeVckCrFQL6tJrY9tslHYFswxeyBLPJXQ8L+H0kuA33j/BPY80XZ9lAMq2pCll52/XJG7nNjdTRVbva2eTZ3MSq8OIlGv3qs5yKY5ruUspa9MrLvAiyVUtYXBkICnFBG4+tyzJQmPYMJMQepr7H/dZGZRKIN2lqckK7ETJVFnnCq0u0d+IU933ikxothjoEjCrW6sUr+nyc8ZWM1P8THm2efY81YZRrEkIOXJi4Yfuuf+pg16nZ/cgT2KDNmluh5XTsiZ7h2MfqnIYROmjlZbo6tVblSr5XGmgmGdnKrKkcFZ0hcmLLTUygKdrtXe2/Z3LWCqVkAYp7//kBJ/4ShNTy5jb+t64rGW2W0M1a0k+9H/dJFb+v/WWuOqxMpROfPaaY9Ji757S81wHl71wk+txU2ZvLUmFQmpNKhVyoHjji4c8fbTHO9/rE4VJRUsZBFEuVNyHzJhcFH+fPOlD3rJmpMOICzStXKkG4qLE6hmz5yu9m79Tzp8U19GF+TtrtasyOHl2NQztbHhjBN6ZuRoGiRIRNS/B94tJhFnrEojKlXjBEzgmTypfrwPu8qMoMVAxe7qquaUwzhcvuSclt6QiT2QG7kKeSJXy5QdC/uQzTYapZzOWwmYsEXYT0yCrOSkFlvn7zor1IR+PkV3cZR1eDTbXo4Pq65kcMRmJmKpUySRKXniVpe6zUW9CWA2egVzaenGtPVJhd4h7+2t63PtYyBcfsfuQkrVlCBu4RkVonIPcyFKNihCoLPh0IFZZokcUQBcO6OU0vc6lqT0weQ035C5KJWHoLr31DlmFGCqWqn3bSsGGCUmzIdEpeKGfYjBIUrd1R8HU2dRR4959mXnWnLrxYCE74awFddFQmgGnGLtb3gqj7HnLscDS/lxa0uEZm2fBZBFUSpmgvIT+SPBrfzzB0TMhxneba42xty+LXd7WzhssfZYysCsQXvPCNwT5uCdg1jDThasM1ws4tXCOipDI1AaeaaS4eFvCv//hFe79uYDuUIJISiLZ7mkfaVFl8mz7dRyIEc4jN3mQqUQp0eNswQzoFZCXiM5kDF12Syrgrn7NOscoJ4KSBgcr/0aRJbY01Xi7drQRwiONOySjZQzKzcUrL4t8YwanONHFNKUxSQLrMHmxYVEV2JQ0ZWn7OnEBiSLNmFOSSZTC805S+P2PtnjkQIiR0iV0Mnli2btSMTguT8qB5fid8udbQ0Vjp6d4oZx9qwSaa3RnCcjjwM4kizEYU6TwpbRpfDu+QaO05vrLY37qu1f57Q9NEKXuCtaFXNFSMdKlN+5AbrBJHKMzYNuy28xNyY7NONCzeM2IMh5KYKd8DEUV1BcCuKmqC0PWvwnaGOJEMz3TImy2ieME75obXo7yW6wuPMzskQOM4gmiWLmietvsKYGKfbgei5ei36KacEx7l0BeZDLLu3MVNmEZzGufFwmdcWtQZtIkB3qCqqd88b4a7/tIi84gsFs8CMfcqEJ7i9LgnNyPL9XIcCFgryXuYsG/wOjksdcqViGlzpoxZs+ace1gHkdEwraOpVoihLHsre2W59rZh0ni0a7F/Mibejz0VMDtX1fQcKI4o2OdgbzkgUvwM5ALp7t1VklI3mGV6XPhVp1yRjPPdZix+KXC3qbKC+to8LL2LhNAtrdQlAjmuinf9aZn8x3Pv5allS7e0yd8giDg7BnJ8Lzm4u12gEq2a64WY13P6xP4WnlSYeyyVBnfBWB824vqjl1qPZCX7lVwFwVV0mlv6SccOObxP/6qxeFF32X03A7NdpoQXqa9JeuUxK4Ft3Rr6Bqwl71bceGAcxzvFZkyxtzZ2ayytg0wLeAsi4ssGSQtoxda3PnjUpPGmr3TCf/0zV2On/M4dEZgvNLV6bSElopIlySXcKaDY2/jJBwS9z5MXhMuS4FkEVyavFZ8TYBuSngpA/4CUmG8S187gGsDg1iwe9uIm6+OuPaylF4nxZtshIS1gBW/zUJ/iuGo2BpOCIkW9heMi/vyCXMqbSxYMGMsXp34TxnYJc1d/lrJ4jXlNgJVqsTiY8xdqTkRMX6YcK4j+LX3tvn4VxoYvyiDtb2WLmspShWDgmKrxMrwGVMAnerJysFe+fxjoBbVkzSeXygIpAjscsYutbJJx7hV/9u1hhnpyMlY7Z3a56k2iNRu0upJzRtfPKAzkvz8bynOrwgIS1JFkoM8Z3Ih0NhjBFnwaVPilgScR+6YXpeBPp6qZx2gl45bHluOyRXG8FfZ0NYdu7pvmPBCRoMmvdUGna7G2zitCOu1c0lXfMEbTL5CikWkctG5vawrVw6GitWT/eXiKlxn+4lch6+jvYXJg8yyn1thc1kFdbZPeu6WCPd6DvYEz0uJ0Hz6a02+9EADkydyvNJdohy4x9m7zNZi7LWKW7JuoLk+W69PSaxdFk3pInAnUmb1KbL0dTmN75g8myGotUA7N0Vg0NKgjSFNFMrTvPw5Q173vD5//llJlAhbdGOcQLY+MRrL5MYxNW5yVNbkYITIa4Uy2WJbLNyvkcXKp92FkJNdma2pAj4/dGPH1ZQPmSlvfShIDRitQc1wblF+YRCH55a7A9Rv/rff5d/808tX2s14pV3vfB/pKaT0MqjmkXxZJ5VnXMjSGIXc7ciCxkpPZal+O/u+MlRrvJ2mU8W20UUxVclBKYPbyRKZ1Zm4VHwqUz55V53//EcTHDsXlpoYfFBuFISUhBJqbpB9tt+NTeaUElOinNjJklyimI0iy/sHlWaYy+pzu3HqeAKNPGFTzpqWp4vlA4Bk9WcqW/NJs37zc+lnMjAZDdPthCsuSTh1XnHohIfOI8ESsoTAIG2CZuz1qqEnKrUr2WsVYiwBM/+ZkjOXJX2y5E72uJ7mzl6z8kQQpzBMBOdXU3bs2UO92f5Xdz54+L63/qMX2j16PvG1lDjV7Jjoc/XWFZLEZ7UfkrgFWTqLyB6DYg/CihTJmdyMMXZRHZbtUisrB35Mqkir/6teuK6weA5qWfK7pUYJx95Byql5xfs+1uTgkRCazhIspeMvxN5KrGXw3M7MP/N6U3MLqVIcm3GF4pa/MQJfS+pFwROsbxVmcqVsE6bCanFZrjqUEmEU2miEsVWHwmiSSHP53pi3f1eXB54MOD5XesMZBbvnBkmkbeCohdteVtg9OjUGlbG3KBVaiYzRYbwJwtakVOOW8nEtFEE1piszeTlBlmjojCRLcczle5Z4zc2TLK1G/BfcJlTTG55NlE4w015hZvI+VnsjVgehjdC1zBVhVkVXDSarGwmtCSiznxdjAC+Bv3BRtAV4Och0r+XAFuUgs9DeMpMmKmVpVfK7f97mjkdqUFcO1CWQC4lwq7LnXJ8MhOVOokpX0vhjfiJE5eBXn1z4to4qcWDVRQKjwlrlAZ1lwDtpYgtGCvBriRa2WdmaBcqdD4UWmlQYRN/w4utG/MzbVvnVP55gOeuGKJvXAEJhpEeSvU9dtg2Fswozgij0djFSQ2SqZ8x4YA0h5A3rhsI6NOP4KhYUKW0WpzsyRJHm8j27ePaNNzBasbsdewBX7d3OxNatt5965D2/8ejR5s8rBGkcEMe2YSnfKYsCjBVtXQokxy0fcQFQl7d4tr9fF2zu2FoIs4a5pbBsLTLHJAe5TcUPpeEPP9bivR9p0U09qztECeTuUYnCFsxqadYw9fidseeVlSyTceKbBno1TV9l7yrwS7ZdCdjjzJ6zuhZ5gZT1xA1aW9NACmN1uTCkiaYVJPzYm7qcX5L83p9NMMg0eLaHbPZWNBihSITId18LhO2W97JA07F3FniWPfGs4ViatcVWZfLQJcBXmtfdv5NjMtlz0u2ioM/UdMyh47O/AdfdLoIzBcAvv3Qbt3zPL/QR6ljU38fNezXPv8ZnspkQ+BovA1/Z5ZBm7E1mOq/8+jf+XnWTUFMBdVGTUgSVlccx5pYywXiGpw8F/OXtDVYTNxGzHFQ6eSIyaSLKFYOl52u0bjnALE2uKgeYuUz7ZiLLEshLVF52qMb15tqkTzEgSDo5Ip2tK4QFthAGUf6eVrZcVRQJoCTWtMKUt35Hny/cG/LoM/Z35G9Iu48ks3dprceRgFQ4kMtsQJAVsFnrmhJF84Nwr+mckcugHQs83WN5IFC2GpRf8xQEnmBLQ/Lcq31e9cKEjRuOHzvz1I/1d1z9ngLgAL/6M2+lVqtx1113c/rIY6z2FLXATmMVQNmuK0YGm0oqHgpNXQYzay6E4mJZ64+77KXQxQUlU7cEZrJEj4E7Rfmax48G/NRvTPHEIZeKl0WdSS5RELn2VoJ1UvJFXXKZrdcUWa1h8BJrZ7rym4Z51RosW7KVqrxS5k6O63JERZdnjooRNsup3TKQA19IhHNYRATXXhrzrp9f4cf+i+CJwwJ8CqniGBxpcsgYJLF7OXXtjjovcRA5axf1PKIYqUyVuS1oy32tpnQR2McsH6WysRXuZwMfWnVBfxCyMrqJi7bcTDQaAmMAv3zPDPVanfMn2qQdRS0snAxZSperikYekxpOjowzOyVgVyP74mfXsrfOpYt9rgs70FmDUqRIYZuJu0byBx9r8OhTIalX0ty5NViwd6a9q/KEsR2X15ck672ewzSn81L2Ikf938DiZozNy7qbMnubIgitjBHOvpZ5gZYW0jYdOKliO2ukY29pmdwYhNaoVHP9lSN+8g09fuG3PboJlgVyYGdXFlAMkbAb1zo294XIp38px7jZwPysclA4sGfAlcYUQC5/PycVC/YM4NnxlC55pDWMYs3svOHcUptIb2WYDvLjmAM8DH2CMDy8ZVPjyHBnuDf0+tRDTeCl+UztHPAZODMmr7gla3V5JemzRsLY78uKF67JRm9VNLhIi+Ayc0z8lL4WvO/jTT78pQYjVWbsEnM79K6vvcv2XBnkRV0NpQNfpus17glUkvPiG2HbrH1aMHgxSapsi8m8QVkARQmtcE0L9rlElCSMcKydJYOkq1kR2gadAoNIDaFIePPL+uw/4fG+jzXpxQJ8U3jjGZML444p2IGtghg7P9ADPCMqY+60S/ZkUiQH+hhzj0uVolG51AqXHytBphi0TvC8OrH2jwS+f3g0itYCfPPmbRx9+tNf2Lk1+ICMmv++t7JAGMp8KmvhQVflBKIqPSqOShn460gWKbKSAFO5Z6/ngWdFhztZkjF3LHjfp5v8l/e0mVsO7PYLspTUoQC3pKq91TiwKeRmxiDlVH05SzmuFytkXQH1hRFuLvBiWXNXQV8GOk5bmwq7awNSu7qRLMgU9kJIXZZIC/to2dHYC0Ir0lSzZUbz735kFQz8yadbdGMPZFpl8uJdOTa3R0wbQSTsZCkPO2JCCTsAMz+Ome42Fh9rnaoSe48FlFLYhI7ShlS6BI82dHXK5q0zpKLxgY986q4vvP37X7sW4ABhTaK88DMTzeT1NZFcZ0FWZVvySHatRKmCeNw+LPQ2ZEHqesA2BXuXAkuRM3jhe4sQPvGlOu94T5tzyyXHZB0GF275LLS3Wdfzzp+XxlpUMm6Uvi6/LsaAzpoX1gf5GIvb5gIKTe6kSmEdGrIhPGUGl2ULEVGRL1oLJ0nslntaGydXsnOQSRVDEiVsnUr5dz+yyuKq5AO3taDm3l0uUQyFxeJAbmR+QLQRxA7oykBS0t8St7cRblZhpsvLmpssuC99P/t5XEa05MB4KqQbqUdrtfpn4mRYOb4VgG+/+DXMPf0j92yZFg8Ow+51oxi0VnnGqTAMLEALli5p7XFJ4k5dOQhdmwgaB7rOmT2XJY69hbRd8jIwHD7t8We3NTg770NNOfuj7Hm714SoaO9qOr5awivXwWUFwGVwZ8dEjP1siZG+mVvZMRkjc3Kpkv9sdYa3xXkGbFMCdBZk4mRJeetumQPaCGchuk2bEIo0MmzdmPC21/a597GAI2d8CNwbyJlcVT+AcE3NRpLNmTfGuiqJKEAsHXvbSbelLilKFmDG5IJS7Y/Iv0/pdw9TgVASdXb1wf/0h5+955FP/tqFAQ4wNbMVhKQRLNLrDxhFNZJUueDF/vYqY1e1d9EdXYC8KMSquiZrLUVdyBaygDNj8Cq4j8x6/Id3TfCV2jM1PQAAL0hJREFUh2oQOjO0nMzBfY0LLGHdvS3HW9LGve8i4KzOHVz7NbkX/re95bU+Y7Uo47X4eeksGXNfwBencFvKWpxcs0uE0dZKNBLbvu+IZwgvffaI//RTHX7pXRMcncU6KxnIMy2Xg1vZDFAF6DkSSHPsVEmjIged3lbuB9QY6DN3ygCJFgw0DKOYrW3FpZdsRWvDI2PHdA3AZ+N/jJBetP/Q/+CqzfdRDwXDKCTVBb3kTJ6DdAzkZYBXUvllti9AX9HiVCWKkAXApUiRPhyf8/jlP5jgw7c3iITbjSq3AcclimWKqi1oHHO4R0oau3QB5+w8JkkueBNjj39bkI89H2/MzTW5GWP0kvbOJ2K59H25QUJU3JbMLwejbVOaFhJSqPkpb3n5gFTDL/3+BCfmxhCjAaEduDOg65zFc5BnuXuKuqZMimWD7cerCPPzIgqmzw6/BiINozhlwl/mR9+wh596+3dGSRLzkd/5GwDeT3cyM1n/ufn+FVfOLj3x4j2bEiBACp0Dtay9s1ORM4MYA7IDcbGUj18QZgzYGdh1IVWyOhMPTsx7/MLvTvDRLzpwq2zex/jdet4ZI1STOuOM7WKLchA5HlA6kbam/mTdSPMCGM+X13USPGPAzm3CkhYvg7nYiaHcHF7u7xQVTZ47LVpaWVJicaMNGgOubgVtHbI0sSOn3/rKAZ6CX/zdCU7MU1AsxoI41+Vlbe5ofh2QY6o6L3eNMnrGVrKW5V/G4pmcSQFpEp51ieAfvXTXV7du3vP/tvflcXJVdb7fc85dau+q6nQ63Uln6awkgYSExACRQJBNQFmCjjzU0UEjoIwjwoi+UfTNmweOjo464/AGZ1BmHsOmDKKIIEtAQAIIIXvSWcme9FbdtdzlnPnj3OXcW9WdnQBvfp+uT9+tbt069b2/+/0t5/e7BeitG3Ia3zBtXAorVz1Tam2dUHny9XHY3Z2G68rQbqQUA1W6I1C/TINfb9uLMgbTyKJ5I/5sd6r6tJVjIu5Abz/RgF29Gr72oxx+/mQKVtClqoFRCRYgkBJEuv+qOd5EAftBQ/OExAAfYjbuIgyfcPXni2joCP0gjYGvBHKCSKeahRcAXaUpiAJ8yBdVprxRxShl3rqslqW5AkvOreB/3dCPUQVHFuEWLoK+48JfdwDuyGUe3+YA3A6Xhe2t23JZePu4G5xDCBeCcwguK1U5HLC9uQlJCrTngQ+dzlyQ5vWvvPJgiZBCHcDrNDgAnHbyWRACK/t2dp3d1/9SImkMQNdkGqofiFG9JoEWD54zqvaO6qm6YyLGJveWQwOTEAHCAEejuOuRJB58PAmLkZDrRfzcYaagb1gyEnMLIu7zVgwb75oaGYoRdhIn3xGNffjh+jqp0+4k4CYRrQ0F/J6HJQR6qMl9ozOgKB4t8X3mXIiAtnDh5XNzCgIW1PrTIXDVBVWs36Ljjn/JwAGki4R43hXif29fe/u60xskoQymUEdV0Qbq8XUeKPmbC8LgMookE2hPa6iWJ73Z01O9Pp9PNhzKhgDPpRlWLH/gls6OzLligJ6aS1tIpyoAceA6ceBGLsH7ov7u+mOVonAKYLgHKNnEg9KQphBPBT/xgon7fptCjQ5FR5gC+CG0t+KPbRihHOaljrvaGjDQ4HHVfhTAjoIUkZc6clGKAoWahGUoDlWTCy5TWiFE6E4U0k8uuTqHyTk+en4Fr6zV8NsXEwHT8KlnCHCfKcdAK4YATkRLHGS/w+DCQMnQUM0wpJsmiLVdzL3xuiWHDnAA6Jx6OlynfF/XyhenvLm1nDb0GloLDia1u7Bs+UgbSlRuXneREZCHv2zI3ZUXIyAawaPPJ3HL32exZosXyFHdgEF9jyi4CTy3IELNHXpGQh9qQ3oSG+ZG2G2gXzzo0UNxfzcUNaAT3RguqyH8kK7Ew/lqRQRfO0f3c1WLB3njSlif8gDk4J7ScQVmdlr4uy/242Ym8OvnklKv+NPr66zsYUYs/j1J/Byxg4UAHIFJ7TZGFgQENTFuzHRccdkFMA0dN17XeEyHBHgmN0b8xy/u/0FP36nX33lfd9qxHUzv6MOtn+7F7GkW3CqVFCvQZ/WUpDGkow9zf2/UrejhVSN45LkkvvojD9y6qrUJIhqchG6pqPaWmW4Nq8PGc5MRKpE6QzL+NG30FFW/4+GAvAH3Dl+kgZaOzbb3Zg9Et0c1eRjRFAGjCMAOEmQdEoQTl6WzS3ifL2RZYltg+ngbd3yhBAqCR5cl5EVHZht7gxTXbyL2pSOrjVWGdLUIoCYw66Qqbv10CVPbKQYGk0i1jO0rFjI/0rREw6DwsAAHgM7xc3Cgux8GXYcVW3qxrgsoVYDPXjmARXOrKKSla4oAUT9Ow18QQGCXyEGP3Oc+hyMA8QjzI88l8NUfZrFqky4TSGjEgYSI9wQK94YHbgxRvAf1oI4GfcLrqj9GHf54My71lj5kbNez9ka8JL5LcR0CasRTRMANIbxKVqHnxFcpvhYHUahKcDP5yUwyqMc9vyTlHMIWmDnBxt98vgQB4FfPJeQ3oJ6t0AgIXDSYjzaUKEYRBwppF2edWcVnrxjAefMd2OUiNu/sxJix0/t0d/u9qcyUIc80LMCnTRxV60L5c9cvGf3A9l1d6bsetfHESym8vl7D0iWDuObCCpJeRPFnv0l411xPXYQQyKU5/uzSCkYWXLQUOIgH9vDOJoFhKCjBY783cesPs1i9SUfQegINtDfi2lxqb6m1FaPS+yg10adRAfsA2DGNrXpG6n+P2B1xmCCPAzi+rLoIQ2ST4CA1qhn1okQ7uCEWxgdROLqSu0Koup16dCjU5JwLUAs4udPGHV/oB+fAYy8k5MWowQKFjhNXYESRY2TRxacvKaMp7T0R4ncwkZ6de36TQNcOmbL98QsrWHrlIEYWHWzboeMfH8zipIknDS4aZX5uXH5MbbjxHBbglXIv75wwfnkuW+v/2X3PpjlLwgGwa7/A9/4tg589mgSjQKVGsaebQfhgi6IbgGyx/fPfJTFulINrL6tg8YIa2ps9oIvQx8wp8PiLJm7+fhZrNnvgpiqAG9ESGhlY6fcOs9nUGuSh+09EgQvU83BlOaAkgkTbl8TAPNSD9nCBHdHMdfsU2hKsxyhKAHafQIYaPP4/DnJ5E9CQx0NOiZPnkMa6EJKuzOh08LdfLEEI4IkXTbgUHv+RF0EdoG2Ei8Xvq+Ezl1UwttVBa9GF5hXurBshj6J+8MwKKpaczD0iz9GUdgFHg2ubSKUF5s5f0N86atzy/d09HMPIsADPF5th6In9zy53lnRXz3smoS3XZ8/sR7Vi4a2dFJt2auG0cNXIU/kTBCA4HMGxbR/DW3t1rNpgYPpUCzdfXcbFC6tgmh91A55abuBLf5fDuq2aDA37AI7OnAwRp2pyIDJxOJqWGVuOgVotwB5SDgQ37FAaXDRA8CGDOs67690lgfMhvr8+ohlq78D4jHtTPI0NVaPHX8Tj4lQxWOGB3Y+KgkIIV5Z1s4Dp4x1870slfP5vCZ552YDraW3KgIsX1XDz/xjE9Mk2CkkXlMssSO6y4PNVvPgp0mOKjtzMCEoVgtUbdZQGEiC8gKVXnmE3jSwvyWSz+5NpY9gxHhbgppHE2vVbMOukKTsKSbHpnGmvTz133g7U4OCv7szi7kcysnMAU2essyjApRUknfvUBRdAdw14/pUEdu1mqNgE5y6ooSkl8LuXDHzxu1ms36Ih0hGLqGCO+e5i6jR0GArUJ/PU0xMfkA05tnJDDEU9GvkO1Cf00OiuP2cdDw+iheHJfI2NiAaP3jT1czh9r0sc9IBfe1I1OgXxQYwA2IFGh5wsITzjiwhAOAJTxjv40S39uPE7WTzzBwO5rMDiBRb+5vMlTBrjQFgCwgEcTsG5pgSTwhITMv9IBvkElWVALBe459cpfOPOJvTXEvjIOR249bozNrVlp+zoPbAdhRFjhwU4w0HkS1+6CUm+rK+tRXtDUOdTK9dvQOc4CyPyAi+8nsD+Ph3QDICZXhF5WUg+LGzpUQlVCAAm0NNHsWy5jq4dDP0liq/fmcH6rRqE7v3cdKgwvF9MRM0clFpH97wnGvVoil9vhUQLyjN/9k6s3oi/LYxyKgn3FCBqIwB/H/WPocG6rIMCLwLqr3vL8c9C9P71z6uuB+8JzhttaxhMDIjUfPTPK6IGNtTPFeFnBW5aVWc0msDi/w/iq4AgaC5wnDbdQalCsHRJBTdeXUZHM4ewIKtlcQaX63BdHS7XwmWXeYBnEEJqdgICxlys38lwx91Z7NijYc4MB3Nnz0fZab7i6ZfWr5h90hjc8e3vDovfYTU4AHRO6EBfaQC5THrXvc/qz/3r/ave/01tPT64sIoZky2s2ZEGiAdwqkPmHXu8T8iKp+BOqJ/8UqCehW9SoFol+MWzJjZt1hC61xVfXIQXKEZlsIyI9vaTqeo8JfFtsWXVuxcJ7sTuTdUIHYp7H40MlZsShu7VXBTfcRGLYqqBIh7SE6EeR8K4reAUgnnGq08dPLdkQHm8nBLprKFB7CIYG0EwaYKLy8+uoWIT1IS8EQS8Yv2e9nZdDQ7XAmCrWaqUutCYxJDgDlZuMLDsj2mcc3oFP7hRw8xZHc856YW74AxC1zMHHcuDAhwAmrIZ3PnASxsTyeIPrjj3tPfD3QlelV8aVAOYCcoM6JTC8CpBAYAjCCzOYHv5wRAuQLw0GguYPMbFLdeW8KGFNfQOUnzVEPjlMlOW9q2z1hQw1/kkiQ/9es9J3GMSW25oaAZnj05Ri14SiVKXhsccIprJ0PsCjh2jPSJ2TOQm8I3OwE2IGE0JA0ABD/eS5XzQ+wlazKcr8OdGeq5G4l8E8f4ELJvgkd+Z+NqPMugdpPjQwhpuuXYAU0bbcCthUVCHy9bjjqPB4Uwaux7AGXW9shaArlnScaGnMVjRUSanAenCD0j5yY1a+rxDGt5DAjgAzJnaCsGyy08ZM/PhtLvzskr1eUkNmAmmGUjrBGmvpw0NAA7UOMGAQ1AVGgT3JqvWBCa22/j6dSUsOa+CBANaihxfv24AG7ZpWLGOhgn2dUCOq9bQuGzkKfHn+UHZFte+dQ2PGnBuEkN6XKs3BDkZGvWNYr0Kahq5wEPuHfyPAj2g7IGq94xJhB4Lf1JEWEgo9Lhwb15nYKySmAHqa3OC4CYIKIoGrFnP8K0fZ7BxuwYBgn//dRI1m+Ab1/dj0igXTlnmuLiOBsvWYTk6HIcFUXHqVW3QNWlg6poNzglAGMaPORV6cs7DwPjlLDVwqLA9dIDPO2UCyv27thJ94Z+L7t+zl1/PXrpuexJMS6HJIMhqAglN9pWkHs1wOYHlStrgcAobFLAFOsdYuG1pP5acW4EpBHhNqtupYxx85sNlfOE7TWE0rBGwA58dDVa9lPvQ3zKcx8THXFyTK+tAdBmI7Y+jWtX2w1qXw+xWPCL1CVfRfZFiQYqfPAzbx+kIQq0dTN5V/OJEuSEUTS/U30DR7n7AKBhDQXDXIylseEuD0GUKbdWlePDJJECAby7tx/gWjppNYLsaapaBmmXAdhg4p955BDTmwnYZXEGgUY5J7RUsnufCQvGXp84++8/Xb9y1berkqcce4ACQyrXhrW1PbksmTl/52IrSpdv270UxSZE3ORKagKl5lYY8jck5YDtybl3JobBtF+NHVvHNpb246twKDE7AXQQa1CQCFyyoYcHJFl5akQCMBlCoQ5hHT3yjDdH/EfA2yBQMTkUafISybyiuHdwodRuHeMMwMhzw40Usg13BBIIwN8XnKz5Y68u/KfQlOD5KT4L7R9HofpDSv2H8a6E68MIKHY+/aKIGf3YVBTSgyjU88KQs5vqtz/WjPe+iNMhQrRkYrJqwHdlRRBq+souerrlwXTnPs5jh+NJHi2BNM1b+5ulnt120+OzDgezhARwASs44jG5pu8M0d3fO6Fjx0Z7uXqQMgoTutdvz5iAQb9BdR3oRe20XM2f04fpLenDlIhfEMVDjRPo9iQsKF4IArS0uzp5l46VXEwpNUZCnIo6E4JaTWRV64jufGvFtEp6ukdHpAzMC6gZAHTIX5QgszsaUxQewiB2n0o7oe+tfJNgb0hSFmyMaOAoNTKKAPvxiQVF7ZWyhA8+uMLB3r4a6QByjqHGC+582AU3HtReX0VGk6BtMYqBswHalO9KvQKwxDl134bgUtk1gJkdi7syT78u1zbjDrrx12ON62AA/qXMyvnvn431TJkz69BtvrBvtlOnChMaRNGUZLV2D4iKTryaH4Kz5JXzuw4MopE3UqiYIwvJrPqchxEVaF5gzw0LrKBd7emg4D1C16ILgDwmAGMlQidCNWO5J9N6QP2+ctiAgHA01cx11OexhbyCNIpZKoAdQMwgRcuSAayNwmYeaPNwXhuahaOXQ4+LPuAnbeNdPnmj0bakG7N7F8OpKHYMOCefGeg0GQDRAY7DA8OBzOTz5xxqWfpDhpPY0HJeFthIBKJMt5U2dwXUJRIJBS+SeHzFy6qcHe58u50d/+LCH9bABDgA3Lb0ATy57vXzDpy6x/uGuh1Ad6EEuxWDoxNPgXm1sBugaRTbFMLtTYKDUCjhVJEwLumZD02wI5njjJmd5awbHlEk2xo50sWefLgvPRCTGJ6B4RtAYyI0Sq+JAjYO80Uc11OR1x5LI+Q5Fgvyk4Y5psByAmdSvq5o5fJ8P4Fi6bYOclfC8JPrB3rYgL4YJbN3HsGGjDtehcgJ4UNFAxkUI05DUCJo0gSZDx4o1FMTSkU1T6JpM42AMoJRBZwKmweE4Aql0Bu2TLrcGqqRcOAJwA0cIcAA4dWYnOOcvX3Tu3NN//9xzSVMXSBg0CHoQAmgaRcKgyGcBxzXQ3Z8CvNyGpPBxEZ3BI9tlwcteayAxDuGDO+r3VqojoQ578t3D8Gr1o8IXGeI6VGmEVDLk+Q8a6RzyqnhAM/xDJeCIsu7vU2b7KIAODUYRjFg0QkoUekOUYxBQHV9ooGGUWVZUk3ERpiGlERR0gbzpojkjYFBgf68L2yFIek1b1cBXQicQIo0pI+dXMvlJL5N4oPAw5IgB3lzMYWBw8GtXXrpIVPp2/MXunZsTqaQOgMCyZd9wXSdImkAqIbs2OA5FzWHQbc2bx8lBKQPjLjiVcwAbq6ehvCjR6qRhDY3o0f4J64xLhMynTtsPy0FIQyzXvQ9D3zzDiYhrZW8h7hb0WUhoJKoGZdyH7oHXuyqhLguFzwdJV1CojO9uDKlM/TNU+V2UupAaJUgxgQQLnRAuB6o1F7pGIASDrkm/vG3Lq2KUozhyQrV9wqLvCxj/0zBSRwpTHPmtASCTTvM/vPTSbZ3jR317zsmt1szOGsaMdKBpAGWSj5sGYOqyFQmAoDtvONHV6+oiFGMm0N4k8i86NyzcFUnFUg0giGHBG689WCckBFTdTJ9hePhRcXIRO4uCaqICV/kc0eATI4ZnhH4AUa+KyvHDz4wG4knws/jPhXB7A86m5BnIamKShvjxEdcVsGwOy3JhORyu523bsc/Cqk01uLTZMpIjvv3K8pdvM83UsNmCB5Mj1uC+dLTWrESi9fae7r3W5q2lb63Ywmmpv4DWggbGqNc9mUNjIsiTUJHj+2nlSiNXRYOBVLkuosD1C8XUeU2Up22ch0dOqx6jniO+PbbeSA4X6HHNrRqZ8YCQWu3KPz4wMr2xjLj2FMriP36CoA9CYzP0fZO6myA2RSX+6fWDiJCu+kdxIVuOOK6A7QiYXMZNxrU4yGYPYPWOFE81Fb5FafHvurb1WDhKOWqAz5p3BX5y3/2VXKbj4ZV7yTd/8/IrmNXhYGReg0YB3WsPHoBcKd0WjoeqotTHnTJiEaSSQFFEPCdAPehUT0rs2hvZhwHfjj08FNwcuhzCsVFPyfC8PA50NRwfUBFfQ5MhPiugHd5BvmeFkMjZQy+NQk3gB5QIEPjCY1cuout+uz85OwhwXAluyyGwXQHHlYlv2RRw2vQqrrjsFIFEy8Nwd1ZOmvLxwxjsxnLUAAcAV5uCfhQ3jB874vqrL0n9+K2uN6ihAwlDIGFwJAwOQ+fQmSvLMLOwzw6hYankAGR1VmE99/b3RYrWx7wijTR5o/W4hq8TcqjrQyP6qGiLJyK+IuoWlU+K+sn94Eyo9xXft6LNheIHD4JAQABqf65lYGgGwFeuMKiXwuEKBocT2BywuYDtShtNZwI1S8DUOao1jr5BDcnCRXxCx9jrzWx2A1A+BiN2lBzcl89eORvzxlWta686/SeTRidvmjpxJNJJF+kkRyrBkTAcmLoLQ3dhaH7hIL+IfVgm2S8bUbMIHDcOZuVZp0xCqJsKQZQSEWignQOkRZnrcBpeXWlkb75dEkBX5elqSD/IK0FUoSpKNdK6z+faPhVRz4HwCRGmAYSfG74P0Kl07YXvCgHucKDCCWocsFwCywFqDlC1BSoWx2DVRU9/FTVexI59uZvM7Lk/2b+n2SLknGMyZsdEgwPAKTOnYO/ePe4lF1/U1bXh9dL6lU9mNdKLdEIgmXCQMB2Yhg3DsGDojiwkpDlBKxJCOCjjKFsET/w+gTe6/IqmQ5PmeCc0tf0IlMPrjMvY6eqATtDg2RHWDwjRNgS6D5KL0lCGOVWoHD06Qob6iOj+OkPT58IBmEkQrhd+eQkvJVbtYR+JbEZm4VBwi2D2RBvnLaxh9RYTZZcDxKt2xW0IQlFxGRihoOAKnZR3mGXZSKWacMrsBaX3zZ/btXfvXrd11KRjhMpjpMF9SSaTIG7pl9Omzb5h3vz3d49qSSCdrCKZsJE0bSRMW4Jct6DrNjRme+XewlJuA1WKzTs1wI7zh7g2VzS4AnT/dx4aqKjXxkPRE3VdIbUHVdpHotUPQr7FEG8RsfeL2M6AWvi8OUbkwwLXiqEqEDEsA4oT3Oqh9ueCABowYbSDdNIvm+CGZdlcCy53MeAI9DsUAzZF2SYoWwS9gxzUyGHxOYu758099YYDB3p/mUg0rlB1pHJMAZ7N5pArjoam8XvGTT7jyxOnLdqXzWVhajbSyRpy6TKyqTLSiQpMvQpNs8CYDUocMOKCUGDbDoYHnjEBEwhdTjH+7YM7ZkA28qTUURPSGOhxTR7IcNz8HSJRD0cIPl+Vq9QjAChiPm5lgkMQ5BEhfQnOG6wrx1vAVWdV0THGkZakX6uQ2wCvAk4ZrlVDf8XFvgpBd5WibAFN+Twuv3TxvovOX/hly8U948d3oKkpd0zH5pgC3BcjkQfn9r+OGHPWrdniyfuSCRupRAmM9YPQEigrI5UqwzRr0KgNxhwQymG5BK+uMzBQVmfMyx8l1NySWROEpSEiU6uAOl/4QUPzqgwHZMXd9XYLgQrSmMS1t/eOgKKI6KE+r1aP40Ll1cqECah0JiRran644EAmzTF3qgVD8wpvchvgFlCrAZUyTPQiRbvBSD96LQcDNsHC+dP3XXHxwltt2/nXluam4zJux4yDx8Uw89i8+hc/YVrWrbHm7/7To33F7XuyADiKmRrOmlfGwtkWCkkO7gKEEvTVKB55zoRrkVCD13lPpKjpsdHU2FiYviH/jgV4ItSaRDX+O0iinhIVzr5/EEqE1fN7C8/xEQnwIKDrgUb2Z9wT1aMSa4uCGAcXkiQKwaHpAh86q4ZfPJ7E/iqRbRxsjnyK48xTa1h0Wg2FtJwdtHp7Cht2z+0uFjK33PvzJ+++7lNHlmdyKHLcAA4AE6Zfjj171vw7T03+yqvbflN8/NnNsrUdH8BDz/Thk5eUcMPHBjEizcEFwfrNGtZt08I5b3Fgq+F5IjU4IVEwq9PRhnSlQzmdj4UGgB4K4+SQNx6JRBOkfDmEfKzYxYjYcozCKBWv6gsFKQalf02BB8bn7FFPClxgaoeLyRMcdK+m4LZAc4bjho8N4JOXVNDeZMB10qhZFB8UY0sPv9ryhe6B3v/4+g2fOlYD11COK8ABINc8zdGrzp9N71w/YYRJ/vm517ckunYzbN6m4fv3ZGDZBDd9fBDFDEdzk0A+I/y+c8oPVO8qjMy/VOkJQo1N4ttjywJRF+PhYLTh8cdS60cwHtfYjY7xN8VqGRLfBx7dJkHrT0RGVFvHc1MCXzki1CQyElSgd4Cgu4+Ac6CQ4/jSNQO47k8GUchwVEtJrNtSANdmVMeOab72hsvMh8qDDv/6DcdwzBrIceHgqiQ1Ih6496HfXzwrfe+4MW3XXHzWmOrfLj2AT11eQtlmuOs/09i+U7a+GFFwMXakLA4TfQKrxqZS3AdK6QQo8zEjRmjkrcH8TP+naSjvQHoylMQCh8McGPWw+NTEjzKKmJau6xKhptGKKI8XEOAU2LaXYX+3nL0zts3FtR8uI61x3PXzHL7wwyIO1KZUM7n2azbtmfnQa6uybrr9M8d9fI47wAFg6Wf+BE+sHnC/+ZdX//zKc9s+ce3lE8oLZgloiRymjWfIJgRgA0XTxVc+OYDZMyw5YxlA1LiUc/eC4j4xH3dUQzeY6HAw4B4tsE+E9TnUR/t8LJa3Fp1ELHdEtXSDaleIL9OI21TTBV5bbeD2n2bQXdMATUN/JYHVXWmUSxm89EoaG7fNLq/ZPeET0+bkfz56xEZ37hlL8HbIQQv/HCtZ9tsHsLerE9Pn3Lg60XTO5jXrcx/YuFlPXHMex4LpNgxd+sELBRflCsUzryXAiRYtIERlvQyDykrKQUtur5sJI/CK/ESL+dQV9iHR9eiLNNgW3U69uyZodUekcSoL9BDleKIcE19X7IfIfxGkVquFe0js2oPOFLT+PETZH40JSFBGb3oRVRBBISC/paNS+If6+8PGYRpz4ELgB/dn8KtlKdguA4iBitME1ylgbHMGPc7Yvj3ltqU//NHd9w2683DV5de8XbB7ezS4LyMn/ilQugmfu/WcewcqC2/8i2vOODCzsx3dfTo27GbY3UOR0gg+sKCKGeNtGexRC2+CREPxkR9dBYHaFz2quY8F+xDDbD8uSnyokx7W9yJRiuJTEi6DNX7ZiMA3zmlMk0fXfbciM4DVWzX87qUkKraO1qKLSW0WUgmBvoE2DJILD3zkwjNu/NWPJ9/70Ws+gu989aPHY4SGlONuZNYNc+42AECl3PczQg2ttC91+/97eE/Lg88kcemCAXzxqipGZBzM6LTxxmYiL5HIyayERPvsRNyEiBb9iVeA9bXQISE8luH3ThFyxDvD7yVptPQRCsiCp9S364VQKs6KOjoT1k6Rrb+F4OAOwcouHXtLSRA9i6sv2o/z5wxg2eomdIxbuG/BmWd+pWbZPyNa4YSM2dsOcF+SqSb09vf/i5FfTEjW+D9NiedbhLMTew/0o5DtxvTJLrBMB4icvKp2vlVrfUcbSsnSAw0piPe5R+XjFsNEPN8GCT87eusNtxZs9W5aWR1WrvhNi/08beIZkUQQr4FsLD3XM0JdLiuVUVfAsTW8udHA3oE0ctk0KgMOUsYEfOXPztqXaTn9Vgj3X3JNJwbcwAkEOADkczmUSoM/+cSHFzrzp6S/t3/H7wt9g+uwo3sAj72YBUgKhq6DUBK3lQJR+adfD1wtnhkPAA0nYY0/Uu93jk0+IAJDI/0YJlv5+xoBO9wtYseF1zvkpXlGJfcaolEOcFAQcFlCOQB59CSyK4QspMk5g64JXLjAxqOvcNRKBERMBskt6tFzc292XO2npmkewWAcOzmhAAeAbDYN7jr3zJo1p/tNvntirjn77Yd/8Zj++ro8ihkdJgNcIVBxZTFHDvkCQo8JJaHrMN6yBLEMw6G0t48HP/IXboAH7EaIOcwI0XAyzA0TCVA14N3xtIMhP16EX8if3yNAIg3RfGM5LMxZL5xTWX3KZbBtA6eM78U5s/uhJ862J49K3jLz5FldhBm/Mk0dJ1pOOMABgDKNi9qbv5x35mJj+5Y3y8mi+Y/jRq4nJq1QQIbwyy6B4yGbKKULfWOTUTn1iQXlkEVDOhEAGHUYrhcBpYICaWxECgwLzqOVRqdVqUoIcqG8oUH9RW8lMi8hqIpFIKiAkL0c4BIhn5oiPDclHMybnGI7FNWqgYFKApwLjCjm+J9+aJbosSZ/nmvz7n5l5Xbr/PdPPj4DcpjyjgA4ABDzZLzw6mormx5/T3Or/syHzxFXde/f89dv7diFygEOy+KyECPVYIPBIQSCCc/wFLIeOPPqgSvURE04UrU0Gu33KYiyLHfiEAF8HJHuj1N8Qf04P8dGcflFEjIRzshUJxgDCCiJbKgjQLkIjiFEgDEXuuZAZw503cL+XhNbdiZQbG5DSjR/fdL4cQ+wRMt27q6x8iNOPa5jcDjyjgE4AJwxdzoAVO66+8H1kydNut0dkzNOm1n4WjHzMvvxIz14c2sK+/oy4CQNm0kXvs+5GZUzSzSGiGvQL0euBvx8kEd4fVyVD+VJUTX2wfCs7B/S06do2ronzkHcgPEsybgBrfq5owm1YdSS+4YlEaCB1pZVEISQzy1Kpb/bNCro7rfxxiaGnz6WwQULTnJHpUf+7xkzR9y+ck2fO2vetOMJjyOSdxTAfbn2T5fg/gcfdj9y9ce+Ua3u1brWZW66VvzWNNh+3PB9F7v6DDiMAUICXKOAzgR0LayNCM/15XLInjFBiNkT5XGtFFT1/vvVnxChKZEZMg2WoWwDhgb1sBIAvp4BN5pupxqYwfv8id1+wmtQPlppLSgIXE7guhTcOwWlAroHdo3JJ6YAAaMcSdPGnj4bX/yHFnSOzuOcRefUzl184XcndhS+8exTj2LR4stOIGKGlnckwAHgI0sugxA9eOrlxNfGty+h539gyumlXf9Gp4x1Tu9dVdUEGASYV7ARsgaLDuiMgHn1gxwXEI6Aw/3Z3d4jF/LH5ghbOyql/Bpr3gZcO67wj5mQ6HIkU5hENXeQ847GkVlKRBgJhUyq4pARVc4JLIfK+a9CdoTh3AUBoFEBV3PlTSEcDFRslKw2p7t80os3nHcp/8DCiS8yan1t6+4BjBt18E4LJ0pOlEv3sOUvv/MgBIyshv7/29e34SO/fmEvHeyjGN1EkDEFUiaQNAhMXZYCE1ygaguUawLlGmA5nksMSvSTivpwvm+oEqIs+8YrqdtPKYnto95/CSJG1eNI5ByhQeyts7B/ECWyXp88xk9HkLVl5Pu59194+4WyX3g9icLj/XIdAMBdAsthKFc1DFY0VC3Zm1LWBXSRSrhIJ2ykEhby2RKIZuGt3sl8xpTO+0e0JD/rVJ2S3nztiYbEIck7VoPH5Y4vL4FVWlvSM6kvrFo1bmPFem1muc+6bO3aDeCcwdQZUgmKVILC8JpY9ZY4egZcVG0B2w09KD6gQrcZvPYcCDPtiELCFYqiFtNpJGGaKbyUXIGDeuDJ8Nt8Dh2PBdQFrxTjWs2/YYRHgC8YAaUCrsuwr5ehp19mbCQMgRSXN01CF6hUOTL5mcg38YcLyfNXbuqf9vdb+kuleaeMO9FwOGR51wAcAIzsNADYv7Fr21/dftOMcW+sXIcXXmm5bPmrq0BFCUnTQFNGRyZFkUoIjG2roLSmhg1dCZjM67xGZRmxwCij9bnS6uyXobwp0YDJ0cnw8Ffm8ZAokKP/Fd6t/PeBrTEOjbmyJg2RhZje2m9hxUYK7upIJiiyKQrHFaDgKObTaGmfh2TTjIfzbVO+mKwNbs0XiycaAoct7yqA+zJp4lh0d3dvPWP+jJs1I3nP3FmT/nzLpg1n7XyrC6ZWwahmoK3ZQkdbN/YMVvHL11qRS+lIa0Bak9+aESHD1N6LA16Y2te8UhoZjIFxeoQ5K4fCC1WtrGpmuS9q4vrlMoIsxCAPRwJd0h3ZOcEwbBiajXy2jPXPm3js1SQmNAu05gkqGYJkMo/2caegc8qEZWYi+fdGesqKqu1sLRQ7TvTPfkTyrgQ4ABSlNtkohNgIYOVTT7tt8+dOv7Nn/4ZJfGA5a2/Zg4rdi9WbDMCqYIACtqGDgMg20kpTZh/gRES1N2K5WWEDJzUd+iC+wiFSDA/V+FEwDjWAEz+PD2hKRIRvy4i8rNhq6A5SiSqSZhWpRBmzJlfx70/lsHZPGoCB982f7Z526vSNGrOXjplwxi4A68kRJ+68M+RdC3BfvB9gfW9v73ruuhcMthijbX7Sg/9073/m/vDGW+k/rqpC18oY2TSI3sEcyk4aGd1reeLlN3PuzSr3CHSkxgpQB9IgzK1WxIWidSMTf0nsferBh/L9GqT9xjw58jgRtAChng+bc9n+jwlJS0zdBmODOFCqwTRtnHmSwM++UkIVrYOp/J/0DwyQJeMmjN3BGNv6bge2OszvGRGywSw90NPT9LuXuxZQ0H9+6qXVztp1K4sfO2tz9pE/EDz1xgi0pwiaM0DakIZbf0WWitO9TnGmLt2OmuchiU8mYJ4rknldLOR61EuidkH2PSiMEmjM86KwqBcl8ORQGZVlTHpRNCYCVyhjsQkIRG7TGYeucZiGg4ThQtM4HIehVNYhOEEqaSOXLqOQ68fzqx08+UozvvqJRKl99IxuYs7RNN39jKud8hLVCn2Cg+v6ewcW73oNrorXCYD/cd3unumTJzze09s/5ce33V1bvfafv5wjT398X2WN/dY+fZrmOgkNA8inGUYUOHaXalixxUSSU+gs1OKMIahp7XtQfOdKvHtEZPK/ck3xSlJopJFRz/FVj4kPfEqVllIizBWhhECH5/0wbehaBW/uNLB3fxIjchSjmA3WlEbNTVZ7qum1I9vm67n2+feYTQu+Y9nPmtRsqlJe4oS9+4zIg8l7CuC+nDp1FCBpdXn79u0A0b/Nqtq3m5vns89f3fSPPf2VKTu2bVloiG42d2oJheJufOOnJjZtbUZTgoASAc0r4E9JWPbX5RKUGhEQNHQhEiKrqfj56aoIIbxca4B58IzkqivHcm8iMBHSAPbPH3Ygk1qbu4DtUnCOoGUMFxyEALlUFau29uIfHm5FW5OBxXPSmFQc6xbb2p8XNL3+/XP7r/+PJzWX0hR27X9NtI/pODZlXN+h8p4EuCodHR1AqBCdPft6P2sYRqGnu/tvXl3+jNGc7HInjnXmnHmyMXfPXgHbHgBMQNd0mDoBoxQ1W6BSE7Bdv8mtFy1lcll2CAtpic9fQ4PVS3KiPsVBkDOjVoQlgMx18mbaCOZ5R6iApgmYugtGBWyHoWoRlGvyZnRdgAgXBnOg6QZIYiKSuZZXTZO9li12skkzz7byxcJXHcvqaZtQAAD89c0n+pd5e+Q9D/C4tLbkAaAHwHUAsGXjQzB0nDV3Ljm/MAJLdFGeCreCzZu6YDAOjdnoLVnYvM9BpUZRTFNQInNfZH9HAsYINBqdUCxA4LgcruMHaCg0TYAS2YnO8FKlbQdwXchQOYUEtjcZQWrs0I+dSjhIJyro7gd27c+iXDPRnE/AMBhGjhmPfJMOI0/WTUpqD35ySdNvdcaXXXXRB0/0kJ9Qee9YE0cpe/Z1A8AFjuNM7DnQze+9/yE+bkzLhCmdzV/pObANa3fbuP+JfSh392FMUQI0k9SRz2nIpDRojMB2OIQADJ1B1ygGKy7299qgVCCdoMimdTRlGJoyAukkB6PAnm6KgTJg6NLIlf1qpIbPpjkKGQe6ZsPUXbS3DCCXN/Dm9k6s2ZjExPFjoaPvdu70bF50zodorilPNU3rAvB4IvXe49NHIv/fafChpLWlCACP++u18l5ompHv6939Yv9+gXETa3ay6eS/0IU4L58ScB0HL/zhNaT0GlqKOgwd2Nfjoq+/Bo05KGYJKCvh2RUuCikDI/MEmibQlNaQNFy0NFnI53qxapOJnr4s2lp05LMGLJeh7wCHoVNkCVBszmFc56lglKKQs8A0+4neze73kjlNnzp1Ojo62pdVa1Zve8fIEz2E70j5b4APIWZqJAD0AngEANZu2o0LF2EtXKfV1MCrVQtvrt4ATXCkUzpMA9iz37Lf9755t4FXLmnJW3ZbSze0PMXuvRm0FYAReQ0tBYaRBQdtzRXs7O6Hm0xjcmsKHW0pfVRL5tHXXnv1NlcwXYCBUopUKoP2jukg1IBpcMoY2fPJy7DZT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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 230152000
{'hecke_orbit_code': 63050394816742762, 'n': 1, 'trace_an': 2}
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id: 230152001
{'hecke_orbit_code': 63050394816742762, 'n': 2, 'trace_an': 2}
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id: 230152002
{'hecke_orbit_code': 63050394816742762, 'n': 3, 'trace_an': 0}
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id: 230152003
{'hecke_orbit_code': 63050394816742762, 'n': 4, 'trace_an': 2}
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id: 230152004
{'hecke_orbit_code': 63050394816742762, 'n': 5, 'trace_an': 0}
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id: 230152005
{'hecke_orbit_code': 63050394816742762, 'n': 6, 'trace_an': 0}
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id: 230152006
{'hecke_orbit_code': 63050394816742762, 'n': 7, 'trace_an': -2}
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id: 230152007
{'hecke_orbit_code': 63050394816742762, 'n': 8, 'trace_an': 2}
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id: 230152008
{'hecke_orbit_code': 63050394816742762, 'n': 9, 'trace_an': 0}
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id: 230152009
{'hecke_orbit_code': 63050394816742762, 'n': 10, 'trace_an': 0}
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id: 230152010
{'hecke_orbit_code': 63050394816742762, 'n': 11, 'trace_an': -2}
-
id: 230152011
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