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{'Nk2': 36504, 'analytic_conductor': 162.62919329036237, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [13, -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': [1014, 1, [677, 847], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 7463548, 'field_disc_factorization': [[2, 2], [1865887, 1]], 'field_poly': [-6617, -727, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-31392, -3708, -40, 1]], [7, [1832832, -11520, -170, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394883851254, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 12, 'hecke_ring_index_factorization': [[2, 2], [3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1014.6.a.o', 'level': 1014, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '78.6.b.a', 'prim_orbit_index': 1, 'qexp_display': 'q-4q^{2}-9q^{3}+2^{4}q^{4}+(13+\\beta _{1})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1014.6.a', 'trace_display': [-12, -27, 40, 170], 'trace_hash': 2247355369581664372, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.020', 'prec': 17}, {'__RealLiteral__': 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'dual_conrey_index': 1, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': 0.0, 'embedding_root_real': -18.938530661019886, 'hecke_orbit': 15, 'hecke_orbit_code': 63050394883851254, 'label': '1014.6.a.o.1.3', 'level': 1014, 'weight': 6}
-
mf_newspaces • Show schema
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{'ALdims': [14, 18, 17, 16, 17, 15, 13, 19], 'Nk2': 36504, 'analytic_conductor': 162.62919329036237, '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': [1014, 1, [677, 847], [1, 1]], 'conrey_index': 1, 'cusp_dim': 882, 'dim': 129, 'eis_dim': 56, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 100664310, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9], 'label': '1014.6.a', 'level': 1014, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 938, 'mf_new_dim': 129, 'num_forms': 33, 'plus_dim': 58, 'prim_orbit_index': 1, 'relative_dim': 129, 'sturm_bound': 1092, 'trace_bound': 5, 'trace_display': [-4, 9, -22, 372], 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mf_twists_cc • Show schema
Hide schema
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id: 47843022
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394883851254, 'source_is_minimal': False, 'source_label': '1014.6.a.o.1.3', 'source_level': 1014, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050394883851254, 'target_is_minimal': False, 'target_label': '1014.6.a.o.1.3', 'target_level': 1014, 'twist_class_label': '78.6.b.a.25.3', 'twist_class_level': 78, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 6}
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id: 47843023
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394883851254, 'source_is_minimal': False, 'source_label': '1014.6.a.o.1.3', 'source_level': 1014, 'target_conrey_index': 25, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 68820140110, 'target_is_minimal': True, 'target_label': '78.6.b.a.25.4', 'target_level': 78, 'twist_class_label': '78.6.b.a.25.3', 'twist_class_level': 78, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 6}
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id: 47843024
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394883851254, 'source_is_minimal': False, 'source_label': '1014.6.a.o.1.3', 'source_level': 1014, 'target_conrey_index': 25, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 68820140110, 'target_is_minimal': True, 'target_label': '78.6.b.a.25.3', 'target_level': 78, 'twist_class_label': '78.6.b.a.25.3', 'twist_class_level': 78, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 6}
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id: 47843025
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394883851254, 'source_is_minimal': False, 'source_label': '1014.6.a.o.1.3', 'source_level': 1014, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594138592246, 'target_is_minimal': False, 'target_label': '1014.6.a.q.1.1', 'target_level': 1014, 'twist_class_label': '78.6.b.a.25.3', 'twist_class_level': 78, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 6}
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id: 47843026
{'conductor': 39, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394883851254, 'source_is_minimal': False, 'source_label': '1014.6.a.o.1.3', 'source_level': 1014, 'target_conrey_index': 181, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007268074881258, 'target_is_minimal': False, 'target_label': '234.6.b.c.181.3', 'target_level': 234, 'twist_class_label': '78.6.b.a.25.3', 'twist_class_level': 78, 'twisting_char_label': '39.5', 'twisting_conrey_index': 5, 'weight': 6}
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id: 47843027
{'conductor': 39, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394883851254, 'source_is_minimal': False, 'source_label': '1014.6.a.o.1.3', 'source_level': 1014, 'target_conrey_index': 181, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007268074881258, 'target_is_minimal': False, 'target_label': '234.6.b.c.181.4', 'target_level': 234, 'twist_class_label': '78.6.b.a.25.3', 'twist_class_level': 78, 'twisting_char_label': '39.8', 'twisting_conrey_index': 8, 'weight': 6}
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id: 47843028
{'conductor': 52, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394883851254, 'source_is_minimal': False, 'source_label': '1014.6.a.o.1.3', 'source_level': 1014, 'target_conrey_index': 337, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936421728880, 'target_is_minimal': False, 'target_label': '624.6.c.d.337.1', 'target_level': 624, 'twist_class_label': '78.6.b.a.25.3', 'twist_class_level': 78, 'twisting_char_label': '52.31', 'twisting_conrey_index': 31, 'weight': 6}
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id: 47843029
{'conductor': 52, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394883851254, 'source_is_minimal': False, 'source_label': '1014.6.a.o.1.3', 'source_level': 1014, 'target_conrey_index': 337, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13510936421728880, 'target_is_minimal': False, 'target_label': '624.6.c.d.337.6', 'target_level': 624, 'twist_class_label': '78.6.b.a.25.3', 'twist_class_level': 78, 'twisting_char_label': '52.47', 'twisting_conrey_index': 47, 'weight': 6}
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mf_hecke_charpolys • Show schema
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id: 1601575
{'charpoly_factorization': [[[4, 1], 3]], 'hecke_orbit_code': 63050394883851254, 'p': 2}
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id: 1601576
{'charpoly_factorization': [[[9, 1], 3]], 'hecke_orbit_code': 63050394883851254, 'p': 3}
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id: 1601577
{'charpoly_factorization': [[[-31392, -3708, -40, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 5}
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id: 1601578
{'charpoly_factorization': [[[1832832, -11520, -170, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 7}
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id: 1601579
{'charpoly_factorization': [[[-29513160, -225756, -162, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 11}
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id: 1601580
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 63050394883851254, 'p': 13}
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id: 1601581
{'charpoly_factorization': [[[1783218312, -2391684, -418, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 17}
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id: 1601582
{'charpoly_factorization': [[[-14973984, -5296176, -66, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 19}
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id: 1601583
{'charpoly_factorization': [[[-2602266624, -6284544, -208, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 23}
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id: 1601584
{'charpoly_factorization': [[[-2546571960, 13557564, -9394, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 29}
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id: 1601585
{'charpoly_factorization': [[[-4280450400, -206256, 7418, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 31}
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id: 1601586
{'charpoly_factorization': [[[39144102912, -33258240, -7780, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 37}
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id: 1601587
{'charpoly_factorization': [[[20206815120, 47956548, -18140, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 41}
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id: 1601588
{'charpoly_factorization': [[[1729964364544, -248796160, -12100, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 43}
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id: 1601589
{'charpoly_factorization': [[[4517894971368, -557566236, -4086, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 47}
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id: 1601590
{'charpoly_factorization': [[[-26960052479832, -1172296980, 21198, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 53}
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id: 1601591
{'charpoly_factorization': [[[-10593394872552, -1008767772, 1718, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 59}
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id: 1601592
{'charpoly_factorization': [[[17380383329800, -1605801220, 1598, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 61}
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id: 1601593
{'charpoly_factorization': [[[-30813396636672, 3466979520, -106810, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 67}
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id: 1601594
{'charpoly_factorization': [[[-47139250910760, -226072764, 68694, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 71}
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id: 1601595
{'charpoly_factorization': [[[-3323872221696, 1191232272, -66976, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 73}
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id: 1601596
{'charpoly_factorization': [[[-35835411156480, 727681984, 84664, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 79}
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id: 1601597
{'charpoly_factorization': [[[-1086071695416, 261886692, 40898, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 83}
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id: 1601598
{'charpoly_factorization': [[[59175760270896, -3690572508, -13524, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 89}
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id: 1601599
{'charpoly_factorization': [[[-17578655448192, -3052031472, 103224, 1], 1]], 'hecke_orbit_code': 63050394883851254, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '1014.6.a.o', 'level': 1014, 'portrait': 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tfn5DwMjI+xlss3RbS7KecWNRN1j0s2JWxb36FWHSCkJYoEzW6FhabPRFXgSY9z8z5HzgpOzCacWkoIKl3ecHOHt90CgRzn4MkGp+YU5xdS5pZiTi1ajixYbrpqgZ/+wRU2jk1w/NwUZ+crzC1rlpsCISyhb1lYMRw906eVSH7ou8fN+pmrPz5Ipn5MMmi9853v/E5D4tt6/bUG+NJyk97AohU/f+bc4VebxU/K0wuzr35k7zn9obcFnJ7dyNn5CistTXcg6A6g1U5YaSYsNhPOr8CRRcHMzCr/7oeWeNXuKqfnJjk3X+PcomZuyTK7mHBmIWW+nTA+2ec113S49XLwZYVABcwth5xf1Mwuu5+fJIbQN9TClImxBAOcnE1odWD7eo9aZYC1AoRPp2fYtmHA0qoG66TIagcGCVgsy82Izes82j2FUBZhBjRCj20b+6x2BSfPaVKjmWpI6qEg8CBJBN2BZHZZcn7JMreSEAR98BJuu7LDq68SzDQqLK00OD0XcG4R5hYT5pYTzi475r7pykX+3Q+tsGFsjFOzk8wuVZhb9lhuSprtlN7A0BsYmp2Es0twaDHi77zlDOeXdiSt7sZHf/afvtns3rXnUSnMv0yMhx80vtNQecXXX1uJ8sUv3svU5Bizcws/96l7H/wnn3voyeDSzSdZba5w5c4B69el9AYdjBEEns9qR+N1JViFsWCsxdoUgeXY0jj/7g8EP/cjc9ywM6JemaRWqdOoBtSrHuMNxdySYnZF89XHQr7wSMLurV0uvyRheaXHFVsHfP+bDHGiEFg++3jIfDOkkg44cV7R6dS59tKU+VbC/oMel22VHD4Ht+2BZhsiowl0xHQNDp2tUK3EBCphrC5YbcMtV7Q5eibgsu2G4+cGvHTU/Txva5+jc5ax+oDlVsTnvlrFCkWaptx1fZfbb7DMrnrcsKvPrk0eSdyg26uw/1jI7KJgYSVlfiVhbtlwalkw14m4/rIl/s3f6rCuPsHJ8xPMLYcsrnistCTNTkqzk9DppbS6huW25XxLsbIiiKKUmy8/pFfai3cunlhEDF5/+5Zdd5p6o/FTn/3svbzjHX89Gf2vJYMni7+DmppVX79v17/Zd2Dhp5545qg6dr7PiWXBYifh8h1L/PKPLXHNzjrnFyZZalZZafmstjWrbcVqG1baKSuthJVWwkITTq8IdKXP7Vct8313RuxcV2O102B+ucLCss9iU7DcNCw1DSttQ6tnaA0s3X7CVCNm23oDCALPcmbeQ8iA7esUOzdZNq3rMrcyYO/hOjfutlQrK7x4ZJJ6LSKKPKYmDL0+XLGtzx99fZw9WxMGA8v0mCROe9TDgJdO9Kl4Na6/LOGFYxFzSz6bpwJ2boRtGyKUijmzCL5nEcKyfX3CRF3S7gV0uh6trsdyS7G8CktNw3IzZbGZMtuEpX7Kts0dvu+uRW6/XBN6Dc4vNFhcDVlc1Sw1BastQ7MT0+wYWl3DStcy11KcXTHcsHuWD/+9BfZsC1hYHufU7ARzS5Ok3vY0FtM/9yO/Xvn3//it/fQ//fT3faehc8HrrxXADxw4TK1WqTz53Nlt05VvfK9IVn72mb0djpyRnFuIOLdkOduUnGqmXLdznv/woWWu2Vllbnmc5dUKq+2AlbbHakuz0oZm27DaTlhpJyy3LHNNwbmOBdHh3Xc0ecurDJdsDImiKivNkNWOT7OtWOkI2l1Bf2CJEkuagpKWwINKYBlvWNZNxmivz9HzEfuOBJikxptuidDeKs/sH2PHRvjikwl3XB0w3+wRakWSxkxOQBJ7aC9haanKa25o8cXH6uzcCE8fHuBR5Z5XGRLRY9/RlONnQrT0WT+hmagJKoHA9wVKQGIgii39CNpdy2rH0O4aVruGpY6ll6Zs39LlLbc2eferIzB1llbHmF+usNT0WG5pVpqw2nbM7RjcstqFuY5ktmm4bvc8v/ihBS7fWmV+eYK55Trn5iucmtW8fKxP6k9x5eXr/vUH3/6qPzXe5lNJ3O9dcull32koFa+/NgB/6Jm9DMSEP61O//Dp4yd+7ZNfeUK8+poFuWlskqf3Vzg9O2B22bHxuZbk1GrKDZfO84s/ssT1l4YsroyztFpjpR3Q7HgZmwuabUuzk7LaTmh2DCsdy3xbcL5pmBjv8l03tbnt8oTt6xWNikerHRJ4ElBEicQYgbHQ7QPCMFHvc/isxdiI+56uMehWuHSzz+3XdInNKg8+O871uz0Oz3ZorjS49ZouX30mYP2kZf9Jy//5rhb7TwSsn5Tc/6zi9isUy90Wx05Pcv1lEQ/u65EMqtx2pc+urX16SYevPKMgFRw9o2lUNVpAtycxVpAaS5wA0qB9Q7NjqdVjtm4c8OorunzXjQlTtZC55TGWViustHxW2pqVlqDZgWY7odVx16bZM6x0BHMdyXwr5VWXz/OzP7rIVdurzC1NsLBSY365wvlFj1PnDc8cipmcbvHW2+omqL/a7tmz9cdvunH6I/1WJ6qM3fKdhhTw10SD9/uJbHe6b/+Nj376Us/vfniD/4haPyGI04RGLaYaVqlWFI2+IU5SUmMwVvHsoXX81Efg5390kRt2JQRegufVCPyQwPMJfE3oK8JQUw0V9WpCo5oyVTdsGhMsdOp8/uE6n35gwLW7e2yYTOl0+7z51gE7NhiSVKKlJUrgoZdCTs2HbJwwvHg0BDPJ5VsUN1xvCMI2j7zcZWFxjKt2VEnECufnPW7eDSdmY6ZrITOTEMxquv2AuWWNpz12bGry8vFJbrgi4Pi5FqfOjfO2W1Pmm0s8+fI4L52ocdOeCj9wVx9kh73HDesmO8wtxDy416MfK7QEbSw7NkZ8160R7Y5i04Thht0QRTWWm1VePB+w2vFodRXNjqTVgVY3pdVJaXed3m72LMtdybmWYLUXcetlC/zMD69w7c4K5xfHWWlWabYDWl1Nuyvo9i3NnmF9kHLw5Ip86ehX+Km/f/3/fXjvZHX7Fe8+Ym38OSE8853G1ncc4NZ2SZPuDx059NyvzJ05Nvn0/nPs2m5IMSy1NROB+4ieEoS+oBYKktRirUEKxbOH1/Mvf9fjXbcv8/7XL7Fz04C55QahX6ES+FQDj1pF065I6j2PsZqm20/p9FLWDwy9gaXdD1heCDlz2hIlhrOzCUFgAYGvLFoKuj2FwCPpaq7bIdi1ybJtc5dB2uZLTykOHJngjTcG3HDFCh/9ksUXVXZs7vLCY4rN44rpRpdQVYhij/k21ELNlvWC5w9E3HBZhTuvX+T3P9/D9+q84RaLF3T52pMRX3yixsvHK1yyqcqOjSkzExE7p2Ou3pGilEErC1iqQcDMeEAUe7S7Pi8e9uj0Nd2eotOXdHrQ6Vs6XXfu7V5Kp2dp9QzNnmChq5hdsVTHmvz4mxb47tsirt1R49xCg9VWlWbHp93V9PqCJBWAYOuM5VW7+1TDlB0bfdoLe71TJ3b9ypmVZ5b3XHHzP5ld6P3+hpnK/74APz3b4cw8P/riC4/+/LkjD0/6tNi5zufMmQmafcv6ScGL1QBfgxAC35dUE0uaGrCuo8YTkhePzPD84SqHz83zrld3ePWVfcbrDZabVWqtkEbPp9PVtLOb3etrugNNf2DpR4YotsSxJUndESU+1oBUAk+7B2u8Lpiow4Zpw5b1XaYnmnz5GXjoOQ9pxnjjjR7XXd7mkZdjon6D268TNHs95pdq3HaZYXq8S0UH9BPFQitGGcF1l2mq9QHPHgx57Q1j3Hptm2cPKrBj3Hilz4+8bZmvPh9x/1M19p8K2Taj2DBZYaJeZawOlQA8bVESjIX9xwVpKogTQZTAIMad48BZf/2Bods3dAeGTg9aA1joKBY60Dd97r5+mbe/uskPvMEQR2OcX6zR7FRodXxaXY9OXzKIBamFMJBctSNg+/QU6ycN7Z7P0dMBx84ssvrklyZ/6P3N/3DLba/X1q7+jhDj//sB3NpFIPmRl194/OdPHvrGOp8um9cH+J5lspEQJxatJEkiEYBSgsCTmMBiLAhhkNKiZEqgJQvdCn/y9S187bkWd1y9yg/evcrVOztMjVdZWq3S7gV0e14GbOWOSDCIJXEiSBJIjcVa9/mUtGgNoQ/VimGyHrN5XZeEDofPxnz8wZBjp2uMBxVuvlJz2zUtnjzU5L7HG9yyO2Tbxi5/9HWBEgGNesxqZ4CxoATMNLq02j4mqfD2O+b52Ber7JoLecstXaJ4iQf3TRGnIa+6ch1vubnF7q1NvvZslxdOV9l73GfLpGSyIagGAt9zD6EUIIS7NsZY4iR7WGPLIHYPcj+CXgTtvmBlIFhug9B9rrtslR/8rlVec2XKdL3CSrPKartKu+fT7jrmbvcUvYFkEAlMCr4nUUpy7Ow4Z+YsgxiaHctS0zC/vMrH//zr607OBj9/62132qOnm7+7a+vY/x4Af+C+P+S3vjzGT/2Hhz64c9Psh2/e9sz0VVtjllp1hEiRUlGteMQJWAtSCqwFISTWUgBQCpDSLdGeMoRasNJXLDUn+MQDNZ54scPt167yg29Y5fpdTabSCkkS0O2HdHoevYEmihVxIklSSWoExgoEFiksgW+ohgmBH+F7A84uDfj805IjZ3yOn5lAmYBdG32u2Km48fIWKlhg39E6m8erXHUJbJhZYbnV4OrNksRYvvxUwKArGa8l3POqPp97MObUbJ09l3qcX+3z0jGPresnuHbnAo+80OaxlwSDyOfynZNcvjXg8i1tjp5f5shZeOpAlcPHalS1INCSWmAJPZDSuQbWuoc1SSFKIEoFnYGg1Re0YohMgrF9btrd4ge/q8UdV6dsnAzo9cdYajrG7vZ9On1Np6fo9BXdvqQ3EPQjiocnTqAfud8XJ5ZON2G1k9LuS+5/ss/Tx+9bN904+uHbrhhPrOWjFiu6fWy98j/P2/ifCvD/61d+nzu/qwPC/MATz577L7/9R8fHD9w0zwfvkXieRIoKWntUQ8UgEiQpGAOpgTgBJSVSOjZXKkVrga8NvraEnqUapIyHgtbAY7U1wScfavD1vX3WT3T53ruaXL61T7/X4aqdlq0bFIPYI00VqZHYHNzS4OmUk3OW47OC1Z7h3keqnF2cwEYeE6Fi05Rm+wbNJZvhql0tjFzktz5XY3l5jFsu11y1q8nX9gpE4rFuQlKrJnRjH2klWInSPs2+YG5ZcKWtcteNbR59tsKmaZ9brprk77xtkY98sc1TB2t0+h5Lq3V2bqqwZ2OXV13W5j2vbXNueZl7HwlY6gacPO9x9qyPpwRSSgQCY627bsaSJoaJqZhrruwyGMRcvnXAe+8asG5MMVkPiOOQ8wshnZ5Pt+8e/m5f0x0oen1Bb+COQQSDyBAlhiQx2b2xpMatEt2+odUxzLUkLWt51/XHUJ256T/8zFW/fPNrDv7r667hR6wZPPQ/E3P/0wD+tfv+nNd/17vFL/3fH33f6urR366KM9X1E1U+9rUa73j1EtumPZJUoJQh8DwGkSSKnZ6MU0mcgKcFWku0Emgl8LTB1ym+NgS+JYwsFd/SCFMmKoJuJGlHNY6fqfGLfzwJJkEkCTde02XnhogkAWNN3gmEFAKpBNrzOXjKZ/+RkFqoqfuS6apgZkqyblKzaUaxfWPKnu2rpGKJ//qpBidPjXPLZR6X70jpJW0e3xcwXvGYGrOM1yOqFSeFjJE0+4rljmWpmdLsVHjNVas8vb/LgVOK8UbIq64c5+++fYlf/TQ8e6RGp2dZbWvmlhtsmK6ybqLP9qk+//R9XRrVJi8ch4OnJZ5nUcoihAGs+38LSQI7NqTcfnVCGnvESYC1VfqRx+yiT2/gQN2PVCHfelHG2Blr9yNLFBmi2B15vJIkLjAfxC6IbfUEs23Bpk09PvDGLs++tI59hw7PbNr48Rk9uGTndbe8/+E/+uM/tX/rB773fx2A/8mnf59n5yLFV3/v3btmlj768acWwl3bB1TqA4xIqIZ96lXNIFZIafG0oT/QRLHMNLIlSlwZrO+BrwW+p/A96Q4/JYwsg9gwiA1RZGkkuD8nECWCfiwZpAFxGnLgSI29ByC1Fgdtp409Cb5yNR/1AK7aCI0KjNUkE3XF1Lhm3SRs2zBg48wqsV3mv35qjKPHxrjhEsUlWyS7tqzwjZcS5pbGuHGnZKJhCP0egQywSpCkEmEtSRqx0gmZW/K44fIK113W5pFnQ9ZPCKphnRsuM/zEu5f4L582vHS2zmrHsNpWLKxopsdrTDQqTDTGaFRjZmox22+InE2qE5RKkcJpOYt7qOJYMb+giRNFnCiiWDGIs/fIXedBJOlHTmf345yxrWPtDNhRkgXliSVJIEqczu/F0BkIVnqSpT5MDyIEfbrJIpMTVeZOn+LJfZXf+rXf/mjv9a9Tn/rcl34nffubf/RvPsD/zX/4GIeOVFSzv/ze5dMnf/8Nlx8Mf/QdE2yY7rP35CI3Xm7YvmFANVAMYo0QFq1Sx+KxZhApolg6sGtLFLvAyo8EgScY+IookkS+u/BRkhY3oDhSSFLnvqQGp7cNBbiFACVBS/A8CLQgDATVQFKrKsaqkokxwbrJhO0butRrq3zq0YgH902yutjgmm2K7Rs9dm/tk4pVvvxUlZqnmZlQ1Kt99h3FddxvtXQHimt3x1yzyzJ7PmVhxafXr/Kmm9s8/EKPw2cVtYok8BtcfYnh339wiQde6vG5B6ZZalm2r0tZaWrGG4qxmke96lGrWMLAEPiGQKdo5aSWlO4eWItLWBlBYiRJKkgSQZxIokQQx84diRKIYuEC08gOQb0G2FGcATshC2IF3RhaA8liJOhFEefnEn7zXjg+1+e5g+vYNObTHLwc/uTfmfmDeHX7337t1ev/7Nzh30837f7bf7MB/j2vtXKpufr+37/3/K9/+akz4eLrEj74xlPENqbbtbSbks8+7PGeu7pMNkDJNAN4Sj/SDHxNFDmmcazjpEvkSQaJyG6IyAJGiDLGz5dPt5Qa0tS5C6nNnJIsWBVCOF0vRabpBYHv6qJrFUGjahmvG9ZPDpiZaJPYVT7xsOQjX5xiXRhyzTbBto0eOzYZtm9c4VOPW5aXQy7foJhoQL0aM3dCMr8S4O+EQSyYGZOMj8Ph45aVlmF2MWT3jpDX39jm8w+FTNUh8H2UHOfqXYIPvWUeT87z2UcmePlsyPpWzLrxhLGaol5RVCuSSqAJfAg80No6kAsXjBcgRxQxTZq6GCd3kOLUATaOU0cKsSEq3g1xGdQZsKPUrYy9GFqxZCWCbi9mzG/yjtc2GWsYGu0Ez19laSD5wJtaXLtlIZybrf32Vx6f1L2o9ic4nvmbCfBf/d1P8dBL5oNLc4d+ub8621hfC/n0Q5rnjrQxacqhE5rFBRgf73N2aYn/890dpsYTKkFMqxPiez6D2CPyNFHsJEwQS6JEEceSKJFDgCeZXk9kdsMgTW0WqLqAyxiLzW0YHHMLIVCFpncACQOohoZ6JWG8njAz3mN6YpVHD0T8wX0VDh4fZ8eYx64NsGWDz5b1sGdbi27S4sn9DSrKY2ZCMV6H8fqAibEE33erk7XQG/gst2JWu5ZmJ2F+xWfbhjq3Xj7PfU91OXi2QTWI8ZSPEGPs2qz4wBsWuWnPPH9wX50nXxxnqaNZ10gYryZUQ0klVASes1I9T6CVRCky+9Ch3ALWWrd6ZUB3D3/uiliSxJCkGbgThqtgnIE7JSMWSS+BTiJpJ9DuGeKoz1Slyd//niX+6fd3mBiTzC50efl4SpJodqwPWW1Nsu/IQqPWiP/rG157tf/dB/70Izsu/6vT439lAJ9bWEVJ+aMf+cNP/fzDT52daoSK9XWLQHP0xBTdCBIJ3nRKc1Dll/80YP/RZd7+2g53Xtdiw8yAZrtKb+AT+R5RPAR5riHjRBZAd0wkiTNmctYfGXNLjGUIbpekzJgbtHIJE9+zhL6hEibUw4SJxoCN0y3mml1+7V6PLz89yfJKjUtnBNvWCTav89myTrBzUx/tr/KxBzXHTte4bL1koi4Zq6VIOeDsgiXQEinAWkEUa7ava/EUKa2uYqVlmVuucNmWkPfc1eTPvuZzYi7A0zFCeBhbI04kN+5cYfv3t/jys13+6MuTPHOixuYJwXQtpRamhL6Tbb4nXUCucIGzFEXRkcU9ZHlJcZo6wDsJl694jtELgKcujokSB+5+Ct1E0o6hG1uiTsyW6RZ33rHMO+/o8qYbDYo6s3M+1npcuU3RHwTMr1RZWA0JfEnDOzfVbF724etveY8ySfN3pP6r8cn/SgDe6zbxfe/v3P+1h3/+2JED68YrChDUKoAwVDxLNxJ0Y0EnUbSVoh15fOyBCg/sa3LDnhbvv7vLW29ZYWYioNsP6A184tgjSjRxkgVLOdgTlxBKUhfEpakgNWKotY2gUCXWMbcUoJRzHTxl8D1D4KdUgoR6ZcD0eIde3ONr+ywf/8YYT744zoTvcfVmy8ZJyfopn00zki3rIy7ZvMILJ3rc+/AMY0ozMyZo1ASNakyzm/LFx0PqvkUIB6zeQPP22wd84QlDs2tpdgzzK5ot6+q869UdnjzQZv9hn1qQoKRwIDdV+pHT+h94fZPLNs7zsQdaPPbyOKdWKmxoCMZCS9U3hNrge6CVQEn3IDsmh7y+zmRSzZjhCpeY4aoXGzIHSxReej8V9BJBJ81dlYhqpcv7vmuZ97+hxY27DTMTHt1ujZVWwCDyGEQ+/cij1/fo9Dw6PY21kuXVMZovH103sE/8/JXX3G6WV5q/Nznxlw/yv1SAt9srdNoRUSx/6PjhR37p1OEHpxphFzUT0I8MvX6KVhKtLIE2hLGgEkFVCapa0vIqnG37nHuyxhP72nzymhbvfX2Pe27rMzXhEw18BrFPFHskydARSFLlAG4kaQngxmbMbYaJBSFsFlS6JJHWBt9LCfyYShBRr/RI6fHVZyV//PVxXjw+hogDdkxYNo5bpscVM5M+G6Ylm2Zitm1ocXqhzW98rkYyqLBli2C8rmnUoFGNEV5Eq1djvG4RQmRJEclkoEhMQjv2aXdTVlqKswsVrrykzo+9Y5UP/0nAyYUaWsXZg6FJkpB+JNkwFXDjpS2uuaTDSyfP8vFvVLjvmXHONSvUAkXdh5pn8bXFU6ClS+cLMVo+agBr3EOXGpeCT4wgTXHATh2we6lj7X4KcZJg4ojJsMebXr/C++5uc8fVKWOhZhDVWVoJ6UfuHvUHHv2BpjdwGeROT9PpSVcuMYDV1ipPvvTVdXfNp790zxtuT86dO//fqrWQ8bGJv54AX272UF7lnadPPPGrpw/f36gHHbZvDFhqClodg5claKTIwDVwhUyesvixIVSCtlK04jrzUcBnn6zx4EtdXvXVNv/gPW2u2DZg3bhmrKaIYp8oGQI9SVUGbklqJMbmmU9RZD8dcxuUsmhl0Doh8BM8FdHqxSy0Yv7zp0KOz0/w7P5xrPGZqgjWTVumxwRTDcXUuMf6KcmGqYTNM12mxlf48nOGZ14e55otgom6pF6VNKqGWiVCeAOCQKOV+/3WQppKegNNrx+TGEG7Z2h3LMstj9mlBrft6XDrlat87P6QyrJCy9gB0mqS1Hf6d+AxPR5y064ON13a4ak7z3FyQfIH940zv1rlzFKAryQ1T+DnMky6wLMg8lyq4Jg8sYLEQGwEgwzQUWohTSCJUSpi40SXa7Z3+QfvaXHzFYZGRRPFdVZagQN25DnmjjX9SA+TRn1Nuytp94bVjCtNw8LKEmfm75/yA/Grb33DjSvNdvvev0xM/qUB/IV9B9m6aaP6sZ/5o0sr5tnGu24+wY5Nk3ieQCkPpRRCioJFXIRvXc2HzD1oS6gEVS3oeB6dxGM5qnLf02M8+nKPWtDnb7+pxdapmO2betx2VRstFPWqBlQpK+lqpa0tMTcWIS1KpAxiiyUBmfDSccnTBzSff7LOS6fqREmVulbMVCyTNctE1TofvKGZHNNMjQs2TCZsmumxcWaFB18c8FufX8fGcc1MAxo1RaMmqFcTKsGARw8p+pHGqzlQWSuIEkmoFddf1uOJfeOu8KmXstryWFwNmFuc4MfeMseZxSWeeH4GTwIixgBJoolilwjr9DQT9ZDxRo1bL+ty5zVdvv91Cxw4bfjCkyFPHqhw6FiNRGgGA0U3VighEUKsCTyznIA1JMZijcETKWN+REjMrTd02Lmxz5bphB+8p0/FV9RCJz9W25kREHlEsYuV+pF2AB8oegNFt++K3NpdSbNjabYTVlsJi82Us8sK25pjdfFTjfbsy5fqLT+h5s8dTtdt2v3XB+BzZ19m3aYZ/6UXnvrhPdPpL//qx9usrsI/fNcyW9aBMTVM6hIO1uqCURHGsap0QFcqY3NlCbWglgi6iaLvVeiZkE474Zc+NoFNYtbP9LlyW5+psYT3vr7HtnURcSwyvS2hxNxk+lNKg5CCTz5Q4YWjNYTWnDxX5exclbCiGAsE4zVLIzQ0QqhXBGNVRaOumKhrpsZhejxh/VSfzetapHaVTz7coNepsXuLpVFV1KuSesVQDxM8L+LLT4QMuhJvHUgoJEqtonjTq3o89JyhM5BZH6Rmta2ZXapyxc46772jxbMvVTm5XEdJA8SZXvaIU2eZ9iNJp69pdnzqlSq1yoArtvS5ZU+f0/NNTpxfRXspe49p/uwbVYRSDtxCjt5EawBXpRnHKdvXJXzv63tMN1L2bLesn4I08RhEDeLEdQPFsYuHosR9HcWKKFEMIpe/6A8kvcjVsXR6kk4XV3/eSVhup5xeEvSJ+PF3LnHD9g77j73qlzn3dFeEmz/y5DP7oltuuuavB8BPnjzN/PzCZSdPnf21k4eflpfO+Nz35DS3XHGeN93QpNNzjNOPcxtPFUGOK24yKJEHfC4lHySWirbUU8EgzZZM4zHwPRILC50G33jBYEn5zJMxQqTuJllTVGRZMotMCIRQCCGRSpHEGmk0npbUA9g5Y6l5hmpgqAZQDQS1iqReUTSqmrG6ZKIBU2MJMxMDNs20SVnhP/95yCP71rFrCiaqGXtXJfVKQrUSUav2qFSqBEqiZKbBcXIgjj36PUFvkNIeKDp9Q7tnXMtczefM3BivuXLAT7xvjl/5M82p1QAhDNbGmNQSJx5RLOkPPDo9Rb2nqYU+1UpINagSBjH1SsSNuyN8L+bm3Qk/eHcXrZIsCWQQwo6K8kzSmVQipCTwNBDQG2iWVhRpokhS7WKeVJFkMVCcyCzYV1nSyCXn+pGkN5D0Ms3dHbg4rN01LLVhrmP4rltXeMtNmoMn1vPcgRfktkuDX1u/vvNwFPVf/MvA5v8wwA/u/RhTk1Fl/8Fj7z5y+KSYnvC5wqSsdARffabKXVd3mKj3WW17hIGiN3A2lrPxrHM2hERKg5IQKYtOLIkCP3XNDRVjSYwgTm2hEeNAEhtJajSxCUjt0ALLX0WWUoAWwkkhBWHFEmpLqFICDwINoW+pBIKKL6lWJNVQO4DXBON1w2QjYWp8wLrJDpvWLfFbnzf80X3r2TqumK4bGjVFvaqoVaFaSalXYs4vGY6eDwh9V34LeaWfoB9pdm4wbJju0+r79Po2Y3HJaltTr4TUq+P84N3zHDs/y2/fuxktNRZDalISY4kTx5S9yJWydkNJta+pBB6VIKXZdjGG76V4OsXzUrR0jRJSunS+yA5XuuIaGWxWWdk0WTyTvecxTh7MO1tWZe9yaNvGLkPaj2RWkpwlhmLDIDJ0B5bljiAIB9xzY8Tc4noOnqiw3EpZePZ5sW5T693TG7Yf/S+/+ae9f/hj/2Me+f8wwC+76qyfdnv/YsfM+X8R7YjlylTI4qoiqMScWo7RXpda0CdcruIpi1KuGlBriZ915gBIKZ0mTx0Ik9SSGNfw6ywsW2Tg0qxSznm5ogiUQIwAPNf5UoCWxrV35auEEnjaOt9YC8JAEvqSSqCohIp6RVKvWsZqKeP1hMnGgOmJLtvWL/HkoQEfe2ATE2HA+rqhURUO3BVJLTTUwoR6dcCTB2HvgSqXzthM9w7T5r2B4uY9lt3bejz14jjdgaXXT+n0dAZyj2pYoRKO832vXWbvoXme2L/BjcUwqSuHTSxJbIt6kt5AU+1bKqEi9A2B7xH4KYE2aJ3iaYNWBqWM24JFutJghEXkyYHsIbRZDGOyI01df6qzX2VhxyZpbs9meYhEFHmJQZaEixNI0ryE19WOr3QE1TACDN94zmP/sZTlVsJiK5Lq+Jl/s+MS49fr4c8B0XcM4P1eT662Oj/zyc/8139y+MQp/7tugO2bfK68RLPnkh7/+c8jvva84HXXdAm8MZJUYE1e++FS49ZKBK5uQgmXmEnyVHIJ4MY6j9bYrKg/83Bz1i7J7TUAHyZ0lMwylpkM8rSrawk8SeArwkBRCQTViqBesTSqKWO1hPH6gKmxHptmVnjiYI+f+f31nDozziXThvEqNCqKWkVRC6EWplTCGN/r0+xblFR4yiLl8JOlxgEjTnwalZhuYugO3P483X7qgrGKotoOCIM6OzbE/PsfbvJvPyp5fP96LApjDWlqSNIkqxNR9CNFL5BUBorQlwS+JfAVgTZ4nvP7tbIO4MqBW2bOigP58OWCTzGsY7GiqGcpcgypyGzFHORuMFFcdBU5cGcNWFnuQdBLwKv0eN2Niyjd55OPd1lYslQqKeP1Hrdffsbfc4n65+/7np/wfvmf9f91tRr+hdP5f2GAR/0WxkQ/99hjj/6jP/9iM3zx9Ea+8HifSzb2uPHKLs+8HPDA3gmePix4/OqI11whWW1JooQi2aKUzBhcFoFmmlp0wda5R+uSEXmHe56JyxM3IwAXQ2kicnBnD5RSzi7TWSuapyWBL/E9RRi4kQyVwFILDfVqSqMaM1aPmGz02DSzyhMHuvzbj0xz8NQk2yedw1KvSGpV6di7YqmGKdUwJk4j/vD+OlIpPGlRYmgTGpszn8cH3rjCV56JaEcB3QzgnZ6i3VE0A03oBwRegz1bE372R5b46Y8IHntxPcZKUuPS6nFiiGNX9TcIXblrEAhCTxD4ThL62hYZW60MUrnPJKVFSJC4/EAp5Vlc3zyXUKyWpSRaakSRd0jSYY1LkoqsXIKsAws8rRivCy7dJvjA9Yu89hrLWE1h3zfLE/t9brkiYcd6wXilyolzi+GTjz38j2+9/U6xvNz8l5OTf7Ek0F8Y4M+9eAxjzK0f++yTlTQasKWhmG/VeXalxvOH3Ry9yUAQCjh1qsKzKCbHDFq5qyiFy7KhHbjTNAO4ssMUshVFps1YkSUlhoxdBnb+KtuQQorsJg7ZW+u87sQ1WQQZCMLAzTypBim1igN3oxYx3ugxM97kyQNdfub3Jnnp5DRbJgRTtZI0CTW10NWvVMKEShDheQPOLk0471+azJYbBplOwyo2TliSJKYVh/QGln4eiPUlla4i9D18L8TTY1y+JeFn/84C/+p34YmX12VSwWRp9TRjcsMgMISRpO+rQoJ5HnjaSTRXp+LsWSlt4WQJRpNB+bUtmDwPQosMqHBEZF0bW5r/Oc0lSbbKZqu27wlqFc2l2wSXrp8k6ldomYRbdsdcu93i6QpRHLCwXCGOLLQfrawubb5VrHV8/qoBvu/ZL7Nxw6D6hx//mu/ZNlNjmlpoGata+rGrW3Bb3xlCT1CrOD0XJ26pdrJBZBdWYIwDt1HDoiijLdZYFzyaMqhd7UT5BhTgZsjceZWglKIAt5Ju1vZQnkDoQeAbKqGlEjj9XK3ENKoR47Ue0xNNnjnc56d/Z4J9J2fYNK6YqRnGKoJ6KKmGimpFUAndw+FS/RFP7Bd0+j6hIkuXu/PNV5zUCOJEUwsVt13V5smXGnRjJ1N6g5RuT9EOFIGv8D0/08/jXLHV8At/d56f/E14bP86YiOJjcmapYc9mANfEvimqJnPzzlvFtHKlSrkaXwpXZZXiovfc1sCty2tosaQzWcZFnCVi7nycgAyQvM0CCTnF6q0uz6h72IDKS1xIrPEUNZJtBhz6PR9/p5rX1f9+Ce/0P2+73nrXz3Av/TwEc6bLePHn/3z32hUuq/dtl6x0pJ0+im1gWOQNGsokdJd1Lz8NE8X572DZUazOVtbW6qTyIBt17znV7yMbMQouLMiI1UA3Ok/T7uL7Hvge4bQzwqsgpRKJi/qlQFj9R4T9RbPHxnw078zwd4T69gwrpmpGsYqUAsFtYqiWlFUC/ZOCYOEerXPg3t9VpshExPDNHn+UJpsWY9Txbopxd3XdXjwaUMvEq6koQC5JPQkoafxtI/WFaQ0XLHV8vN/d56f/E3LYwfXERtNnFcAprZg8iCWRXWhryVaZ0VYUqB0fm0o3RdRfM61af1ixVxzDEE+BPMwRhoNjoR0D0KvLwC3HaOndeEwJalrAu8NBJ0eLK6kCN167e49h373e9/zrr9n7f5VIa74qwV4TZ7Ds4s/+Y3nDrx/OjjLhukJpFQEvqQ3cHowTTOPW+Sgknha4nuOPaQcMm05nZ7r0xzMTvuVAsmyJMkAnmfkCu0t8wq6oe7OKwa1wtVnaIvnucbi0DeEfkolTKiGMbVwQL3aZ3KsybOHBvyL35zm+WPrWTfusa6aMla1Gbgz9g4llcCxfxgkVIOIxAxoRwFCSbycwYvzFVlckdlssUfN77tygShkIgd5P6XrOwYPfImnNZ7ON6C1XL3D8uG/N8c/+3XDYwfWExvNIBVEqSmaEMLYEHjWNYhok61eruVPZSuauz6ikHRSDO9Nfl3LfPLKQB+SkFthh/eM0rk7v8Zp9kGssvzAcFWLslWs00tZWk1Q+hRE5v1HDu05mqbRv/orZfAXDpzCq2zdvnT0P19z2YYFJAHWGMZqAqVcwBbFWXNBhvBhgCfQmqK6TQgQ5Yt2wYUTJVCLEnOXOEWINbJkuNzKrENHKcegWls85YDta1tUD4ZemunmmEo4YKLRZazW5on9Cf/yt6Z57th6ZsY0M5WUsdBSz8BdCZ2dmIO7EqSEfkKjFrH/hOWBZ2v4UuIpk53vkA/zwDlOFYnR3HVjzKWXdDh6qsJM1VXq9SM3z6Tbz1hYK7T2XMZXOu/6qu3wCx9a5F/9puHhl2boxxUGqSRKLNXESZbAw4Fc56uXySSKRKq0WOGUFCWAixGQ53UronSviuDe2tK9s6+wyrqfl0qBygLSOBaoyJFRXmWZ5mMuopReP6UfpaT9Cp+6r8nzx5+65qf+yYe2x/1jJ73wkr98gC/NzzI5Nbbj/gee/E/3PdB6Z1W2uG7XGFFkqVUMSkr6nstU5pFzbq2qLDOsRvTe8ILleB0BeZk1Sg9C/sornC8At7BIlduCWa2LylhbW3xt8DxD4BkCPyH0E8IgohoOmBzrstLu8tCL8At/vIEXjkwznYF7vGKpV9xkrdwrd86LceztO4BXggFRmtLvhYTKPWT5TSyCt8xyc4GmdlpeDxhEll4sSgA3+H6K72k8T6KVQkmvADgCrt0p+IW/t8Iv/UnCYwemONds0K9JxlNLPXHTBoLs8AqJZjO7kBLAhwxefN7sQxfmihjeJyzYPEFUio9Yc+/cPbIl6QgycRJSyOF9zI2FJA+UI+eXR4liW73JjZcuvPP44WfT2sRN//js2YUTmzfP/OUC/PDJEwSzlVuWFg68e3l2Dsan6fYdG1YCl4X0vdz3FEXwUT5BmXmtQg4DwgLfa5bA4kKWXmWnVjC8aG7cQ+6v20ye2Kxq0DG31ibrws/LYx24Az8D92SHhZUeP/+HVe59fIbFzgQzY5KZMAN36HR3NQssK4GkGtiMwZ32DoMIiPj68z4rsc9UwEg9NoIRKZamrvmhEWhef0OXJw5GtOOAsewG9yODP3C16r52ANfKoqSHkC5Bg4XLt0p+5R+0+MITPX7u99ZzZnGC3rhm3BfUE0M1gSB2o5d95QYaeXmgKUURBOfvQ5lSejDXaPIy4Qzvl73ofRsSUSlOotRplDdfZMmrvIvIWFc2MV4Z44W9s3QGL7/7phv9P+z1+ie+Xdx+WwBfWO4xPh7ufuzxR/5h3HmOd77WjQcIfIOnTMYMJjP5cwZ3vukwyLAjF+piwbotv1/sKhWNlGXHJE9YUCQuVCZNtHTA1sqB29MpvpfiewmhHxP4MfVKD627PLg35Xe/2ODzj6wjMg3WNQTToZMlzgLMfXKVHSJj7jJ7x2g94NGXx+lGmo1Vmz1waxk8t9hcDUfoKW69okdiHMB7saCfuyGRG7nmRmaIjMVzW89mpCqYHhe8/3Ud6sE5fu+LPR56eYrZuEI3lDQSS01bB3KdxSHKZnGJzUCeEYMoxUgSZHaxhbj4PVt7q6y92Hcznl6DAZd5HnYYpVn2Oklc5jq3Ivcelqy0BZcuvMDc/GEGg28/7/MtAZ70jvCpL95HpTK2ScQv33nphrOEfoV2Ly6yW2nqahGGAHc6y2aJmZGXyG/JhSbfyHcuAvDi4oi8/JViZcgzciqrackHU2qduocwq8UIvBjfjwm9iGq1j+93+eP7NL/439ZxdGESLwjZUBdMBimNwFILoJZ12FcCl+0Ms4SQq19Js5XAyZPFVkon8vGVws8eNll6oi3D8oI81R0lHhWvz4bxHqvdOr1YZOPWXKzgeWlm86nM7lSFfz0MXF3l4zvv6HDzlQv8wh/0+aMvz7Cc1OgGHjVP0tCuBifQ4CuKZgidxSnFypdbuKIkL/JbV4D1oqi+OC+V196S1hlxYixZo4XN3jMlYCE1hvZAcPq5Ltu2rPu3b7tr5/4vfOa/7tuw+93cdNW2/zGAx4nhPW+/dcfi3L7fOnP4cSZrLXyvz9ggoDdw9b95JVmSVZUlaV67MHRFRk7XjsqTkQuzJudexDlFVF+SOcIOdXdeciudp1owt8rrMBJ8z0mSwB8QeD1OzCX89hdqfPrhKY7NTdCoekyGMBGk1AObpd5zcMsM3LJICoWZ9g589+A0agM+9ajm8MkKoRIuY5g7KKV1q5z+TlNJnGgu3w5vu7nN735pik5V04gt/dgSRFncoAxay2yqFyWQe6WL6FaFbdOSf/m3ulyz8wy/+flJjs2OsZxU6HqamhJUtavU9JV1Sa/MZVLFA1nyx0tyIl8xy/fjm70uVj6R/5e1DkxSmmBWdBMlgn7ixs11Ynd/73186Zorrr3rE6+6+Z43L6+2vqVU+aYA7/UHhIHP1x5+ess3Hj+662NfiNm9NeCDb2rzmqtaNGohnV6F/iAreo/zFrK8syarz7ZiRHbYtWduL6LuykticZFtcWHzQqEhew9rLFw7WgZslbjOHS8hCAb4ekA7jfi1T/j83hc2cHZpHKMqTI4pJn3LmG+oZsxdLdL3MqtTyaRJ5p0X4PZd9nIQRxw+E9CJAiaCzMUpBVd5oqec7ElSSRxrGjXNzi0RKujTjur0fEElm0/iZ/LKyySKzl0PoV4heFXMjHX5sXd2efdds/zeF1r89ienWOzV6OmQUCuqWlBRljAvPsuYW8ty3DAcPSGFHZWGjN7DbwPvFzUUckcpT/XnXfvdRNCMBJ1BwkTQ4fXXN/ngPV02TQpqk9t3eam35YYrX3XCmggh/b8YwOfmFhgfq89UfO8TDz7wgieTCZ54aZLHDwx4zZWL/J/fvcytV0R0vSrdfoinHciH7WOipMVFEXRayzd9DdmhpNmKpdKBWRQ3IGfvrEpOGTdbRbv5Kr4XE/oRvhfR7Ec8+oLkj+9r8MmHp+indXzfZ8oXjPuGmm+pBpaqPwR3GEiCQBJk0sQlhjJnIgO477nM5/HzloeeqRLFHkHNXhBg5q/Reg5JFCs8T3P3zW0+9tUOB8/U6IWuGm/gWfwEvNjgRQalpPOtpUAKORzukwM899iNpBpo1o/3+Gff1+WKbQP+6L46T+8fY6FXo698PE8TakFFQqAsftZdpTOpIjObN384y5IlB3VevyK+xT0teCwHd6kaNLVknfyu9r+dCFYHEMd9XnPVPD/x3S1uvsxHinFWWlVWZg94Gzff9YlOu3VdHHUWvtnv/KYA3751Uh48eOSWp554ZGzLFEzVBMsdy9nVkPuf2MyhEz4///fOc+c1baSw9FWKVh5xooreyHywZe5tfzsAL7N3viTKwmpyFlnB4FnxvrMDU1R2+NrJEa1jmp2YR14U/P6XGtz37BjLzTqyElKvKMY9S8M3VD1L1bdUfDLWdsxdCaTbJcIXhD5ZhZ7JwG3cyuAnKD3g0Bk42wxdYiXTt2sTJ7l76vogsyIlI4kizfqGYPfWHvtOJXRjj0E249uPcB6+SjOJkidqQK6p08gfnmFs5OrDv/fuHve8aoWvPdfmo19u8PT+BkvtKk3p0/E1vhL4UhBI8KVjdC1sydq1SJyFmN+fkf5OvjWLl+uHcnmSZPUrsYFBKuikgnYMpF3uuXGOD3+oyebpMU6dn2JuucZS06fZhtn2o2NXXcstm7de8iW+yfCgby5RWqeCqbHBr0+Ep2tX7QpYbsH8coynElIrOXJ+kn/56wM++bPzbJ4RIBzYtHbdHxcDuEWUrKTRSyJGXJKS1itsRlOwSA5s10TsWFvJFD93M2TMQjvhwWc0X3ykzr0PjTHfqiHCEK/u0dAw5rlOnopHJjug4ovskFnJaaa7feEGfJYBrhN8PyH0I6yN+fqzASfPV5ieFHjSFDU3Uqw507w6Ly89TRW9gcf29YK7b+jy6ccjOrFHLxaEnsVPHIsP4lyGpU6DZ7oYIUdkijtKjQrG+e2VYMD3vq7Hd928xGcebvOFR6o8+EKd+WaVnvDp+RrtKbQQeFIOGV2ALsU7ao1UGQagw/uXv43KEnfvDUN5klhBbCAygm4q6CWWNOpzyfoVPvx/LLFtqsHJ8xOcmXf7fs4tCZZWE7qHTtSmt97667107gqg998N8JW2ZWB6P9Brf3z89quOcGp6mtNzbmdhY2CxnaJDzdFzVQ6cEuzc1MMYgRSWJNWkShXdIKa46LkWf+VnXeQpM8qMnfveJmPuUXBrneLrmDCM6Q9SDp6FE+cUH79/jC893WB+pQZeiG54VJWk7lnq2s1nqXgQeg7coedmEroyU1k6RPbfbQZyU4Dc91x72tFzhn3HA/A8F7SVHBRRpnDW6M9UZG6KG+d89c4BV27pcOBslV4oqCaCILYMFJm1ZzL2zt2U3IIcapXCZ8+sSGNUNn3Aox95VCoDPvimAW+/bZWvPNPhT79a5cS5kANnq0SrAUmg6WuNVNKl8wEtpctKC4uCknRxzF72tS8WgJaTdgZXgZhkDB5btyt0bAw2iVBph2t2tNm5ybK6EtDuBZxb8Dl8Ck7PRpxaNJyYW2bzpS8xOVH9pqvGKwJ8caUp4ij6id/+02PjW8Zidm84z3V7Qrasb3B2xePUqmSQJFhj+djXQt546yqeHiCwKJWQproEblkEmwU327UMPtR2eYeJw4Up3p1MyVYJmRIEbpJqkqbMLsH939AcPVPhgScrnF2pcPRcDYIAVdWEWlHTlpo2VLN54oF2g+MDjwzE+SGzQ2UAJ9PcGbi9lMBz7O0erIjjC7D/RBVPjtqDhUShXHszWmPtyl4VSeJx5fYeu9d1efFYQjfxqMeCgQY/cZk9VQK4lAIh5QiTQ7nYqSSDUln0Usapx8DzaVQiPvDGAXdc0+LsSouvP+Vz7HTAV56tcm4pJO15GKmJfYWQKnNS5LCYjaG7koNcvoJcKR5qssNCmjkorqguBRNDOsATEe9/QxdPWHwvZt1kh2ZH8ejLHgvtiK0bu7z1sgHXbHps+u1v+/F/+BM/cOLDMthxUeH7igD/1Kc/T5ykPPDIMoNoHdOTEVvWx9x06QKTkyn1sSoLixIziDl+TmGVIZB9x6pGYZQiNWq4XBbypKzDy1cjDyhL4C6xtrP/nL72gpQotRw/Ldh3THH/k1VePO7z8vGQ1iBkEAXg+aiGJlCSqoKqNlRKPnCg8zqNvGzW1YUHmSzxfYXvy+wBsEPt7aUus+g5nR/6MdZEzC1LBjZwrXjSosslCaMEXoA8tWKk3zFKPASamckIqfp0Yo9u1oDtx8OCMa3MSAZSljsV8mFHCKyRQyZPZeFueakqxk90+z4bJiK2rY+58ZIBvajH3z7e5MUTPvc/EbLveMixUyFxorCByk4qf88PUSqdEJTubEZowzS1zf5vWIllwKRgY/eeRkgRc8nmFL8WUVernFvqszxocd3lFa67FLatF8w0PFLTrx05+Mz7hVAf/u9i8Jf3foWllY566LGD4rptbr/Jdi/g+HGLGWh+6B1neeOrltl3SPLlJ31We9DuSAgtYbWPl80mwbgua2tlSaKI0skOM1xDFnfBo9bGpaOlIYks3b5zTk6ckfzJ/QGdSLH35ZAjpwMWOz6D1Aftg/JQDUUgBRVFZoXhxpmprPBIOdb2PeGSHmVwexI/kyWBD4FP5pq4lLmnDb6XZBnRmEoYMb+Scv9jdZrtgIkxgc68+Lzo65WWbGtKAaGRDAaK6SnFPbf1+crTPU41a/Q86WSKBi+xeHHuWWceu0ydXUh51okcygGrR1vNUomfKlKtSDyVjcHzMis1purH3HF1wq1XDHjXnX0OnZbs3e/RixR/dH+V47MeCEm3r0kj7aAsJVa75cpSetjyCHQkNZ2dOG6JEYlFmNR1dtmUSjWhFibECXzmgZAvPVHhhUNVQu3zg/eEbJ+p0elpjqxoVloKffyMGJ/Zo/7s019J3vuue749gAsBUxPVX9uxvnutNop2TxPFrnJq47RiYyPmki3z3HZ1k7fe3eVv/dQEr/v7M9x0Rcz3vqHv+igTmBlPuf7qAdXQIow7cUfWF/e9ybKTra5g73Nui+lKqHjygMfnHg7px4p+rDk/52NQxNbDCA+0RgQaLSW+ElSk83dDldlfyroacO3A7abIitIw/TK4VdajKQr29j2D7+cFWmnB3r7vpj194znFpx+vo3xNIG3mKTPioFyMwXMvPE1zx0PR73u8/fYe9z7a4o++PkYnCallOtzLdXic19zYoltI5GndgktlSeuPAjxJJYl2TO5pNwpCJylx7KFVSle5QfoTYcJtexJu3RODGPDe13VdQ0sq+OzDAU+97FMJBYstxd6XfFpdWXQufVMhjqs6rAWG66+LmB5PXQdXavneN/S46YqElZbk//sfJji1XMN441y2XvP485pjkz4WN8O81UlANa99w93VX7PwY98Wg1u7BEw2Th/6sz2bZ1rKlzG9gdtexNOGqbEEJSWDyKNak7zwsuDoGZ+FZc2RMyGf+8YYWNeNMzaRcsu1MfXQlIrfL1qKUzz0UgpWO4qn9/m0mgqpJQMrGRjtmElokBqkQiiNlBJPCAdmaQmkwZclMMvhjD4HcjFseNCuESBvPC6D2zF8Vlbr5Qyelo6EQMdYG3F20ScahARjEj9Le6usKm8ki1n2gbO8wBDkktQoothjoq7YOh3hiz69JKCXCCraDcHMa0jyhJaS5SyjLH6X+x0yS/6Y0hB8UwSfaTH+Ic2SYiorcUiIkxQV52Mm3LF52jlVQqRcsa1PZLtIDc2m4Ol9mtVu1oZ4scqsNUA3FmqB4dbrYsbGDTZ1/6CaVX3OLSuuvjzhyIMav+KRpIojZ1KWVvto5azFdi/FSK1Oz/X2/KMPfXfj1PlWa9vGxjcHeHN5GSFaH26vvvi66bFTTNar9PoeUSJRylCvREyOdahX+swtWv74y3VWmwH4mkQomjk7S2itWs5/Yw2oy9PnC3CXroaQWCEweUE3EtctLDOWcs6BEm7mXiBdgiJnTi8rUfUzIHgZexed9Ips6z0KcLu2LrclSuALfE1RYuoYPGPxbE8gTyd4XkwQxJxeNPzBV2qgfTwphgFmIU/EBQxezuTlQ0Id2Nz4uSj2+MF7enzmwR4vz9XppB7VxG1K66oA7bATR+VxSl5ZyTD7kq8URpYKvPLDOPcmkWit8NKUWBm0StFKu02+VOpyDCpF5c6VTJ08EsatHsYwXTW89dUGhMks3ZGyuWJ1xq7NeAms8TDJ8HtpYrFpyngj5Qfe1OHxl2vMtSLmOiEgWe66nEeUuD2YekmbDQcOv+7IsTMfjpLk739LBv/zex9ASul/9cklbtrT5T2vaTLRCPC0ynRljFY95lsD/q+PNPjMwxPE2gfpueBDyJGTSL21gC4DvnzXxfDGZF+L0hw9KUTmx4IvLZ7IAJ1Zcvl8Q10A233fK5WGulrorAk3624ZAlwWsiXwbdHS5vumNDgnwcvY29cxUkacnBUstEKE1gSSEXkiy6fEaMNAuXtpVD4oosRjqjFg+4YeB2YH9FJNP4UgFXipxUsyHZ5Q2KbDWh010qmQL5pu0m7e8yoKezLVBm0MaSpR2rjpv9KglHK5hTw7LKwbFqRMyabNBweZkfkqIvt67R0eobrMZLBWlAg/T+Kl6DTlnXdENDuL/OzvCebaY5yIQgLhpoShU6QY8I5Xr/C2V1n2PfdVH9ILFosLAP7Ic2eREh7bp/ncUxs5cGqRzVMD3nRrC09bziwKnntZ8/j+Kb769Bh9EYL2nGTIwD0aR18M4GtfosQ+ZBkzd2hckkFnzoT72vmx5bSyzphbl0Cej4jQym0upfVwHooDd9ZK5+dAz4PPDNx59482hUTxtNOnvh+TEPOFRyvMLVTwxhR+Lk2kHXVQ1t7okUKjNfNGUkV/4CbYvuXVHR59oU8rCelqTSUxRMo91CrLkg6Lomxmqea/KQ80hx3xzjrMZqrk0sgItBEkSqBTmXXcZwOCpCpKIIZOlikyyLkhIIRFSLPG/fo2cvcUPTHDxzHLUsfSNXp8390x68fneWz/Ks++XOX8go/24O5bumyZTnjnbYIoHnB89vBFf+cIwA/uu4/xRuU1/8+fPHhz6MUkqzV+494K2uvzyYd7aJGy1JYcPR2SGg8RKlSgkEUSIL+so+D9VkncPNMnhQuN8iSCJLuRZB06WRYt17h59ZubUDtcusvALuagKFw/4sUAngecue7WuSyxmd4erSX3vRjfi5htGp49UgHtozN5kqfnRyvxRi+BzeugcyYvOtNl4YnHsccNlw6YGu/RXKnSTRRVBV7izkWl1h1xGeBZ3qD4RXK05c8KrLGOzY3AKKfHPSNIlSRVxgE9+1plJRAym4SlclAXIB+OfiuPgSsqDgvz4NtEOnmW2q1KUezj6ZS33hbxpltjjp5ustJ23v+V28DTASutCktNw0rfu9mbfOtrPv6ZNz7yfd/9uosDfKXbpRPHb9040bw+VF021CpMVwXtqMrB4zU3WldAWM8vqsjm/lm3hPHNC+Nf6VVO9+Y3ShZ/ziYiibzee9j6NgR4mcVLA36kQBUSZQjsvPnWsXemuTWF3s4tQcfYQ3B7mf7WOkYQ8/mHAx59sY4MNL4Ubv52UUFYLlBizao2GmgOWdwFmqlR9Poet13V4213tPntz9eJ0oBOKglTyyAZrlbFiiEMQsoiMTb8Va/E5GC0mw9pMqlSBnciZTHirQB5USKRF7ytBXZezpwn7b49Fh/BQVaaka9IA2np9Cooadg0Zdk87aTcSsunN9BYq1hpR5xdia/fs2H5rUkSP1L+mQXAz5w5S6Nev+feL97/tx55ukMj8KgoN4JgPBb0K4IodZVfxXba5XT6K4D72znFMsCHS1xJqpQ0rZRDFh+OZBsCW2U7ITupkrF41g3jqVFwu3EKa5g769n0s/Y2T+cNB0npiImI+dOvN0htgCqyl+UAc9jXmDsbIxoctxuxNblMkQ5oaR5sagQe3/v6Ln/4hQGrJqaXhvRSgZdQsLiUNutxzGWDdMHeyEuWrElRArkg1S6TmBiBpwypsg7o0rrKxWxLQpVKB3A1ZG4lzAiwc3Iqyiy+jXt/AT5KEsdhYlim28wrJVNZzCGPYkUUVdjSaLKx3vlbV137xgcW5s9/ZWbdxlGAezoBBpdO16NdG8ag7lVY7SSsdgydviWILXEqijmBZe1UfLb8Dq7xfL8dgI+2oZUkS1FoNQR6weJZi1UB7HzORyZLlFoz7CYDtlZi6KQUdqDruHeNyTZj7mGAqUvsHXgRzx6RHD4XYpWHkhJfGnRppclXuFLMPHpXs2M4vUuU/GoH8jjx2LUp5spLOjx+qEKsfHqJIJTgpRadiEy2ZQOVkkyH4+Y9rimEKLG4KEkj966zOEAZi04d0JWx2UMkhkyeDis5hZBFJ9WINFnTFJEHkPYikL8YPi6sULRZZjYrO0jcpgLtvmalqVltS+YW++D3d22/tH9prxd9Jf9ZBcAXluZQqsJYbYHX3tDl7MI4B05o4iTGGicB4mxHrvI8lyL1/k0++LdsRRPD9/ypzQG+FtzD9+EGSzr/WpWZfDimTWfMrVXG3NnwHzfOzBad5vk4ibw52cvA7bYLz4JLHWOJ+bOvV1laqiACL3N1SoHf2hqU8p0rF/ubUVYd8aaNIoo105OC993d5tkjDQZpSFf5VFKnxXUpJnHgztcKk3nitsTmssgeD4Pb8ng813igDaRSoYxBG1tKKOXB82iTSV6XX9w3MdTeQ6CO2sIj2BjBSSbkSiQ5LNIazkWMEzeDvNNTzC5JDp5MOXJmQH3jKoPeHN3OsLiwAPh//Z1Po5TizPw53n7bLNMzA5ZfnnAnrR36tLIjo7tsqZO6fBojYx7shd+/GLhHAT6aBRzKE0G+K3HO5LJgbVGSJ8O9L1UG7JzBfZ0NAPLyrQOzpJC2eF4uSbJDpyOHVq5z5+WT8In76gykj5IyswdHZ7KszWC+knQrwFZyU4wZyhRSj/e9sc/vf6nLC8cqxMqjKyV+ajJ7VDhWLR5+m20VU3KvshHVds2+RbbE5AW4TRasG7cNY7nsYDhymRKLM9TiJZBf7P5eFNSllsYhXsTI3yuPc05tXn3p7vdEo898u82mLU1uuuRBDu096gq3ygA/c3aOzZvWVX/6F3995xP7Vvi9z89Qr0gG3ZTxSjZnUJenTpVnX5QHvYzOxLAXnMyFJC5K7yNMXoB72O5VZnElctYeHXtQntqkdQ70THurNeDO0/c5sJXJGD0Ht8nkSZIdMcqLOHxW0458UDqTJ3ZNeezow3qBi2JHb9poEiYbMF8Cec0T7Nnc54XDEakJ6BmfMBV40mllmUmVgsWLUchuci/F1zmDyuGcQQPaimySmEBngFcSlIFUypFRHGWAi9I0gxHmHvG1L3b/xfDZK2V2RwBuL/xv1pS+tm5a164tMX/3nRHVQDJZ9xmIjTtfffc/ri7M/7PuzLoNDuC91lnOJstvfM21636yv7ifU7N15ldc9Z0UZDuE5UHSGkAXv/DCbo2RE/hmMzOKp/3CSVWjDD4cy1ae41Hob5XNI1RD1i7vYuwpMi/cgdsBeDgUqGBwvYa9875OP2K5bfi//7zOUi/M5MkwuTNsURud//FKr+LaGFHcvCGDO0clSTSNqubH39Pma882WBr4RFLTkxK/6KEsP1yuhG0INlOU0VpMBm6DZdiIkreO6WzwaTHyzuRxjQsu3Yi3CwE+DDJHmx8u2lhekknlsgW79ms7CnpTAj7FkFDLIPKpeJOcm1M88rzgmuu3/+S+lw49Muj3PlMw+GPPv4TWAfOzh5iaWGKl26DVlYReHqQNb9qwzoFiklE+GiLfTfhiYB/t5CnReHkJXxtoFlJFfAuAlwZtlkDtQJ5ZhkW6PtfcpggqC1mSA1ul2SyVIXt7Ksb3Iz7+dY+XjlZAekgpCWTJtxejGjw/mVesJixdn/Ls7RzkiXEtZ0nicfWuLu+8o8XvfynE6ICe9AmkGCZ9cvDJXCaMMrmwJSYvsWC5JsYoUNatCsYI0mL0ncjYfCjBZNbcMrR2h133IluGLyrLvgWoR1RCWUaVmFEgkMrJqZwU2v0Bs0srbFl6kcXzMYNoQAHw0/MBQRBy4Jjm8GFn4odaUAlc5i8HUA7E4sYwHNpSjDge+ZDl8QC2lNMUowC3o5F3zuT5QEjHDnmjbRnow4AyZ243UDLT33nKvgB4Cdz5rEJtsn7HC5lbK8fennZTq1aahs9+o85iM4DQWyNPXlmiXHCz12jLvAHAmExj5p04mUSJE81EQ/GO13W599E+S52ASGl6qczsydxNESOu00j4n7F2/i1TsPlw7reyToebPJ6R2eeSbq6gs2hFKVObM3q53qZkEa5xjspxR44TyHaiLnn0tpgFP2RxU3I+8/PT2pIkLmbYsTFl/ZThkks0M+sCksT9Nr00f4jG2MSOgy8//RNmaYXV8zOAJQwoLLWcNYtLVmThbMHaww9pC3fAXORJvJhUyR+d8qiwERaXsmDy8ngxKUWmwbOHUAnXWpWBugxwT+cjy8qypKy5h4fW5aROglYuc3n8hODQyRBDgJDabbBalA6wxkFxwywL+S2GcBuJU2wmUTImsqbUBJG1/CWpBqu5fHvEro19lg5UsKnvWDwVRd+kKiy7zEtmFHhOh+cTXmUmagXD4BOsFAWojcwyrKUu+4LFRT52efhQFYOBSt51bhtfIGlzjDAE88gOHvlMHTPs4cwZv7CQs20no9ijEo4Txw0+ff+Aq66r/cStt9z5/LP7Dp/Q3V6Mobeh2+/f0+ueY+PMFNbY4SBGWaoTyRe5YtyWLYHalnZisMUHzJMZF2jzErmMOA3CLUHDqVX5RRTDIFONzv8uQJ4leIZbleRAz8Cds3VZd5fBnVXQ5eydV9RpnaBUwhcer3F4sQL+UJ6U3ROxhr1LnHDRV0EC5KveWjelVEYbaS6ZjnjLbV2eerkKxidJnRb30mzIZzoqlQqpUsCiTCs5uMWQKa3ASIp3o9znkxKMzK6/yXxxAaaYriUKSSZEqRqpND7YsiZWK0uzDOxp0QAyOne8TJhlFhdkJCcFsg3WKGYXF7neT+6RYrDB99ITutNXCKVYXA1YXK0xPqZQIq+VKEVJI4FlvjFUDux8mxE3QDH/Xj4r2pj8JtpC/5VZ/EL9XSq8Kj1kw9l57gFQIgO3ksOUvaIEcltobzfl6kJg5wOCdPG1yUCeOHmiYirVAY8flHzmGzV6fR+q2m1BLkrBpbgwwCyf00UBDiOSbrhrXCnhkwWccaIZq2vedVefLz3a5cmDPram6aUBvnA2ZVEPlOtvkYOsnIEbvluVrygZs1uBVa7lTWXsbXKpUkqsSQlpweBrY6Zykmd44mv97NFEkyisymKniPy/F9jKZHD2w2wJN/l1VBJm6pKZuiTUYHyBDrwIKSLWTUTcdEWMJaHTU8RJxr4ll6T8JKXpUDO6PWeG24+kxmTvmb4yJf98DZOXkyAF0EtuiiwBesjiQ81dzAHPQD0ceD8cLpnrb732WMveeYCpM/bWCb4fEUcpX3qsysunquB5CKkyUNliIH0xou0VqghHHJURl8AWMuUCL3yNXRhFmiu2Jbzp1R32nqgwSHxS6dEzCj/NrkFaDvqKnS9dlWGaOyy5VBl+FnJZYl1TcyEppcAqkCZn8tLXdlSeFOz9Cu5RPlJ7CHBX+uGwNAR4GUv5keaEWRq0P/xZliiB3sDQ6fe5diFiazem2YrQ/+m3voTneZxbWGRdvc3bb7MsrtTpDyRJ7jva8pIx3GhodNOh/Ot81y2LzIDutJXNtKYd0aDlJacAQuF9iwLkogTsCyxCxSiD5+CWFq3LgLYZa9sSe2dF/vk+koWL4rR34Ee8eFLwlUerdHs+1DykECMzQ4p5fmuzmOXVqPQ4u/ucpzWHE1bXJn1ssQmrKrp96vWIN90+4N4H++w9FoD26RuJX9LiMh39PKRlGWiz/83YsGBx0IVxILESx/DZZ5ISlAVps3O0Lkmar1jDme/2oivWaFXj6H4+BZ7SfEah2yUkTXNw58qgxOZ57Jf9rH5kWWgb7rm9w7rgYY6+eBCI0ddsXURrwaZaQpJM0Om5WmilzHD5LICd1yyX97F0eyImBjf2VkIihbvIqSIVBiOzDydG2XsU4flyXipSEuULmIObYoe2PD0/rCgcglupUWDnQ/Dzd6Xy0c8Z0ItuFqe3tY7xvJjEpnz+kQoPvViB0LXK+VLgC3thYMmao/yHV9Dgo5aqKHYjN3nWrrzTsFEM+h53Xt3lLa/p8tLJkCTxsFLRExovLQW7BkQ6ZPG4VCRki7oQOyKVUKDAOS55EkoJpBVIIwodrjIWF6UiOGOGD3SZsMpyjDJR5nufFgSZDcBPDUlii01j09RkZJptLWlK5SJ2uM2NMVANJLPz03zxYegMVpDCoMOgjRAwNS6IIp/eQNCoxmhV2pqi1OqUjOxu6zb+VEq40clSIBP3NCc5UFNJaoc1w9YOWfxCBh/dSKosUQrXpCgRHTJ3nmXLnZOcucsgz/eHdCydT2vN2XsIbp173yrG92KePyH5xNfrgOtaksI1NujcHhRD52Lt4PiSP1TibjGUKWt0+DAwlxhrMKnAqKFMcXNNNNZqvvf1Pe5/rM/TR90kgVgouqlwNTHFAzeUKu4al35/WYsXCMzut3JsnT98UmWuSSlOUMLVjFy4Yo3GVKUfPaoESpv7xqklTYbgdnt/OoC7o/QQlKRMIVVwOKhXYLUJPWORvvsF+sCJcYwVBDph27o+U2OxG32mTBGTlLdvHu5L7vr5otgFebECGZcTQhQ3l/xHiVI0vMYnzNkbRktNL1qDokZLZfN9eHJwl4Gt8h0eVCmoVEOQq5JEyQd2apXgeQlxmvDAkxX2Ham4yizpgks/swZHisEyz/4CH3yNPBlKlOEXRQPEiBwcrRM3JV98EHlctavPnbc4Fu+lHlYoBsKnZ0AZ4aoARV6n4pwUkQ6BXX7gytZtOU5SGYCkdSRjrWNz5xUIpHWr8sVAXpBWyTUr28a51k5KrB0nptjhIcrek9RmI5UpwJ6YoeOSt7xp6WaLBz5cMiOYGFMkiUF/4C3LIAQmjUniPkLiLDJpsDCsbkvzThM3CzyKFVHsWpx0YoliiRRyyFzFzQOVXdD8BEV5ZnjZPVkjUUb3cCylwktNDkMNboebTr1CMDn8Xnm8cimoLLS3qxo8fF7w0S/VGcQeVF1bnpf3forRedojzkkp2HpFibKGwcsypcgpFJOvRCFR0qzKsBZIfuhNXT7/UI2DZ93DlxpFzyi81KIQw2AzzSfQFFzKsLWtZOVZsKoU+GbgHrJ5BnaTlckaB3yzJtlTBvnFJJlzSYbaOk0duN0+n27X5iiBKM7BTjYvHLdFuHG9CVEWA1rcquUpOLGUsu+sIQhTrLHoZ+d+dH2//cJPLcx/mR3rm7zuuh5SuGUS3DiF1Gi6fZ/uwCOKPaJIM4g1g0ihtUJFqhjZZZHDkWHWaTWbG8K5H54xeXkZK/uaxXI/0uiwFuCj3Tx5cOnYvBRcygzY0g6ZW9viIdbKZH8nddo7OyKb8Kmv13j+cKa9hUYJmbF3lrlc8znzz80I0L/Ja0SDDxsRbEmmFPMdjSzNGtREfZ8bdvd4z+s7/Jc/9ukZD4wmNpKecKW00mQMnrOpKCVhUlt405Dr8rWfTaCyAFiVVhgrM40unfU7BHmZoC5IZLr3wl7OZEqhva0DdpRt3ZKBfBDDIHaD8HuJoJMIWgNBFBmMSZB+4rSScffyrmt6XLop5L1vuvun7rz5ig/pbZMnx8/0B2/+ymMhB2Y1l27tITGkqWGqFvO339Kh6sO29ZKN0x6rbTfw3o98PO3hRbq44aDcxNBMo+cdOSY/YUkhV8plhOWM29qkyYjHXNRdXITBlbmQwaXJgG5GDqXSQosPmTsPMGM8HXHonORjX6u6GSzCsXfeub82uCyOkZWobHsy/GZpZSuCO8uwUm7NVtnl+YXGZjJFOT1ujeL77u7y6Qeq7D/jg1SYVNEXGk84maKKWCi3DB2Tr40Jcn+Z0udS2dc5gyuGTG6l69JX0oFeCCdb8gKsvDyhfK9H5jIWQWKZxR2we5GlH0E/FvRj6MaCVixpxZZBN2bDug4713eoBwkfeEuXiVpKkkiwksu2Wl48PM3xU4M3zy2fG9dHzq1y6nyL08uG88tjLDbHMcY4h4SUR1+M8Rhw6c4WH7ynzbvv6BP6NTq9SgYKL+u29rAZuCO1ZokqPO/MX7Kj4C4D+hWbHC4CbinzzaYuZPGhRZiBWg/BPXzPMpY6ycDtQJ6qhM89UmP/4aH2lkI677vooBntai/7wHIE5HmgeSGbZWKhqLYc1vWU9HfezmaEA7dMi4mxUaS54tIBb39Nh6MfC4iMAumRGEVPZMPr09JudGL06+EnEKUPVgo+rauvR+Zsn11zK7DWuPokO1zBbHYNrM1+l8zO35bP1170eqTGtUf2Ikt3AN1I0IscYzcjQSsy2LTN971+kQ/c0+byHRZhPMaqCmyQbbqg8L2UxakWXTFLEILudn267YAqPtdtdCcVpxCnkkGq6EUBK0mNB14Y58CxFsud8/zoW5p4KqGtqqXCJNciFSeu06IcKY8mdoZr19rGhlcCttuehMJBycEs5RDMIwAfYW5bbAKrRuxAM2RuOZQnvhdz7Lzi//lUg7504C6Cy/IOCAVz29EgS5ZY+5upk1KCZaReJwf1BQ3JmRa3Dtyp0SSpR5Am/B/v6vDnD1Q5ek6DjABFJDx6CBT56mKReRltATFbglg5CHZyJN9iexhwZsGwLLG5dD/bZjFTaWF2NqUs76xWetgz80ApgUycPRpF0OlDayBoDwTtRNKMoTuI8W2LD711gX/+AwMalQrdfoVB6jG76DZciBMXJxojiKOYsYk6flhF33Nbk0NHOxw/DINYEiWGOMa959tKJLA6UMy3J/jwHyt8fZofuqdDQ6R4OqQaekSViEqQ0I8lyZLHIHJBQW7n5BeumJz3Sqw9AmxK7VJrtLfKK/hsyUXJQVwCd6axVe6UlGSKWqO7PR3Rigy/fW+Ds/MBKA+khxBZcFnyvnOrcm1gNZQBJT36zYBeSILRJFi5AGtoHZY88VSRSlcvvmXdgL/7zja/8FGfZuwqzIyRDIRCG5fdHLK28/cudHlGQV4ESZn2pqzR8wdTDuWMlBRsnmejpXA2ixXDupxy8O2mDyisxe1PH8FsU7LSl3QSGGBJ4oiAFn/7nkX+2fsTfDXJufka3b7vjI5EkcSSKJFEsWSQKFaaMc2TglTF6OOn6zTbMTs3uV3Tmp2UflT2IR2jT0QpVU9ydKHOv/3NdQTyDB94W5tarc+5eY/YKBLhc2xWcfxs6JYsS0FlI8U4axm7HFDmYxfWSBI50lRgCztQrXkv7EGZD4vPwTwE+og8KYM8iPnk5wN+688aDIznGjeFdmPiRK6/86201/RdXuAilGF9cYhf0BRSZvIi2CxbhQKTyqE3njF5qBN+7L0dDp30+b3Pec6vRZEISQ83EUyaoV0ozfBBLIeWOXOPBJ5SoHI70Q6ZvTzbJXsOMjbPHiBJ8RskDuSFbCvJOQGEvmaibkC3OdtKqViBlIbuInhE/MA7lvj3H+qizDQnzk2w3ArpDbRj7UQQp65PszcQNNuCpWbKrkt9JiYr6E4s6SVgVEytFiClpDfIpn3aYdYoSSy1imV1EFFVMS8e8fjzRw0VLfnEfSHzKyFGVWitemyuR2yYVHieLIa126zyr9xRWga3EqOSpOyaFHacsiWJMtymWypb8r+z/Xq0KUkSU4C9YG+ZFppbKTdrcHkF/vxrVVYGntPewkNImQWXtkjLD4ua7GhQTOkoM3eZGBmVbBeVKTYvb7jQD8/rxI00bkqV0SSpZsxPefcbunz6kSpLbeWyM0YRC4+eEa5GJQsuRVoONMt6vMTkmSwZTQiJLLGS/Tk3urNa8aIiVwqksa5upQRuKJFaPoksayHcNA2vvXHAO+9cRnt9FlYtn7w/oOJZrtk9YK4NYeJxcrbOUtMnSUqJMeNKRboDQX8wQIgVAr9L6NfQx8/D+TnLS8dhzxYIA9e/mEfGRXG5gj1ewi3XrPD62xY4fCblJ395ioVulV5UQ4iQiarmkqmUpGLo9KEC+FYgtJsxWCxna57mEXDn9psaDrXJ5YeUFHo7199r2Ttnbp1vKZgDW5Z0tzSF9nbfT/CqEZ//RoUn91UxJe0tRdZUnGViy7uOXSyGGK2wGnVTLpQnpZqQUsKnKKE1w6KnctCZZl507osnqYc2CbdeFfG2V3X5gy/4oGIQCiskAxS6ZOHJcltb8QReBOQj3J4xuRSu1C+XJcW/zH5G/s8ykFuZP8BOpwiGteQ6G7ZUC12muRrU2LMtYaIBWnd5z52rLPcMP/Mb43ziy3Xuur4GUd6KWEoqZr86yRI9u7caLttuqNUN+o039Vlc7BFGXeaWq9TGFYGf72Pugjbfg2poWDeZcsUOy64dkv0nLN1eSGcwRlALmQxhXZhQC9wylmSZJyWdlypzLZfXeZfe14J7mKnMplkV01RHJYkcAbcpyZIs0JQl1tZleZIU0kQpN+fk6CnFRz9fY7btuQ5rWWJvMWRvWZInF6So13jAazF9AcYvYO+yJ162DKUrOrISNeKLOy0updv+ZH095YNv6/DIvoCjcxI3DFWRCkkvazFz4/XEMI2fs7r41iAvvhpJEq35d+V/IoWzqG1e40KxKUQ+7sJ1W7mptL2BYm65Qj+CWlUz3uhQC7t4SvDY3hlOzYdctzlmZtxQCcSIQnCgV0yElmePaI6sBoyPh+gjpyXn5yRHTguqFbetRzV0W3Z42o0xCwNDvZow0egTBAPOzVkefLLKUlxFVQPGfJjIdivTWd2CC5TsMAVdPv+LsF9x8dUaWVIOKsWQtcs6fFRz25IVWJImshxY5uBO8PyYQWr4jY83eOjZqqMV6bS3KKzBUlmAGK4sI0BnjUxZg/C14LalY1S6jO7fnu/GtrZGvAx0kyoSqVGx5s4bIz70vS1+5jd8BoksEJXgDa3DkRqVTDOn35rJiykKpSXJjoA8iyatRZQ8b5GfV+knDq9dVvZVzDvx6A2Gm43VagmvfdWATz42oB+HzDUhMQm10G0W5qaTuQnBYeA2y9q9RTG1UVCrg1YyIPSqbJ4ZZ6zuMV4z1CoO1GG2o0ElTKhVBozVekw1mnzqYbjvuTFSWWXCE4x5lkq2qZOnhuy89jUSjHEReZIXTwk76nXn+8+XA8pXYu7MPXESJtsUVg4DS1WyBJWM8f2Erzzt8emHqgwiDyrOOUHKYlRzPs32YrNahjp29PyK8+XiTcdlZJc7yIels6NTqHILsdjN2IpsdolEGokybhJWtZry7jt73PdQj/ufVkOpgiQSzh93eZjShq4jTk9ZuoyCvPiuHNKVHfk7w+8LYcE6Bs/Py6WwL3YpnAUaJ9Jlx4vciiHwE77r+jb33LTMxx6o4vseiUlpRFDxDUG2DU3gO2Pk5HmFrytUxz2CQKI3zbSpeT2StsHzUyp+SiUYblEd+AnVIKJe7dNotFnsdfnckxOca41Tr2rGs70mQ+1Wdq2HE6eGGklcCI6MEUWZpXMmV+VEzn8vuM0wBb/WEpTDdyldYLnasXz+kQoHz4fuBESJvWXG3vngz4to8OJ8CtDkdtHFePuVcD4seHL9h+XiK5uB2ZWrDr1xVyMkpQN3mhqkdMmfPRsi3nZHhycPBDQHCkQMQmKNYCAkCjHc65JyW9sQ5PYiILcX+eT5I+H0hwAzlDwi6xVySaCsJwAxkhvJJ2ylmRMSxSq7hw7kbVVhspHw1ltaPPTMIrPNKaLEZzK21D1DxR9uKNbpJ7S7KXGa4k8Zpq1Fr7RqDAZ9Jhoxk+NJNrYs26LDT6iEA6rBAK27fPUZw3/8symeOz5DGIRM+FD33FZ8bnhlNhQy00WiaErNTlhygX4tgsoRK3CYpVzrmhRf55NPVT55KR/3W7IGy3/ONorVMslS9QmGlP/2+Qq/9akGVmhQTnsjMvYemUFe9untiAO0trmhzNyvxN4jafoRR2UI7hzMI8mf3DJMLUbmSR+DNAppXDmtUik/9q4uR855/NanFXGaMQmSVHgMhHtghMjqusWaYqzMwkvXgFxfVGiVuD+rnxUWRAH0XKZYV314kSm3aeqsPp1KokSh42xsszSIjKTefEuH7Rtn+Y9/NuBrT81walCh7ivqgaWqLZVs1o1WbovIqgfTVYFeHfSYX+pw7vQib7lVuB2LrdtBTKmIdj/i3HLKn3494A/vm+H47CRh3WemAmO+oeI7aRJkw+XzedzDcWqi6KnM+/kueoiS1i4HlGvAXS6oyudXl5lbyWGmsux5j+jvTJocOS/59IM1Oh0Pqhl7S4WQcsT3XhtQlueeXFBBV/r+t/MaqSiEkZs/muEsZTpzNi822pXFuDcpNHGcUq+lvOuuLl96uMKR89lFxgE9RtOHYm/LsoYWwrqdSCih81uAvCxvhsIl+1kWRBbgGiGyB7M8D9E1y6iscUZJiZI6Ww09d10tVCuCW6/s8Et/b5k/vrTLx78+wWq7xplWiBKaUEuUFWxZH3HDnhU2rm9RqVXQx85McPZ8zOyZGvL2Jeq1LodOw/klWO3AH32lxtnlkBeOjCGDkMaYYsKz1H2b7RScM3g2PUrLYh53Mc5BDGVLWXOXB9grRTaa91uDW65h8gLcKt+NYBTs7s85uN0oiEFsuO/JKl97ruKGg4s17J373mKY3CnLEwqgr61/XwPubwL0kUTPGkBTSBQnFwr2lmWHJbMNU+XmdhuVbTKlifspd18f8YZbe5z+osfAZCxu3B5IkXFbgUtTCjqLMtoSqJUogkbSIciLGFrkT2XeR5utBsKS5t/DkgoQMmsxS10zc9HNk7jZNnEsCykohB6xAI11u0HP1Hv88x/o8fbb55ldWeCjX66x2Ak4vxhy/HQFg+TyLR43X1ahWq+i77jxktW52ehLS1v9737miOAPv1bhkZcqPHM4xOJhEh+lPGoNQU07SVLRhjDbAru8mWq+g9lwJmDe9T5sEB4dcXaxOd9l8K6VJbl7koO5xOSlOhO1RndrmWS+t3NOlJ/w0NM+v/iRMVKrS86JKrS3Lxh27IzUxlzEPeEi6foSi4s1D0GRPymBvAg2Cy88T/hkzd75vJKRzKZx78JgUkkqXMApjdv/MghS/sUPtzh4RvPgUwrju4ATIzFCMDASSb4JeEmm2LVuivuzliAMmXS5SOBpcaWjmR4XWFdJat2/M8ZghCQVNmuny6+rcPsNibxcWpauydA9SlJNHHt0ByG7N0dctSPizqs7WNFi7xHFIy/7PH90nIf3TbFhy4YvXXvVlav6H/3yf5sTUv6cif3vnpuf4txiFa0VtcCxk6cgUBBKU+wQ7GfeeKDzfSazvW+84TxuT0mUKpnypR5KWWJtJUYliSyz9xoGlyUwF9voKTP0w2WJvYtdwkZtQa1iTi8KfvMzNU6cDZw0kS5riVR4Je2dP4DlHRsu1po21N8X0vUrEfjIwl+Uz+aZQkoOSs7WtpAnVsqsmVs6/S1c0sc1eWcBp9DEsWHnpgE/9t0djh33Obki3HbZmYZK8ejjpONa3SzMhYHnK7kro/ktW/xdgSAVw79f9IiuAfhwi0/3h/LsnLzhI0klcaKIPIUXeXR7YdGBJYXl8q2Gay9JOTXfpRcLfO/zP9ed/+ycTro+QghMAjOBYP1WiBJXg2LJJ/m7QKu8JV+x32Sx502+wZN04950br6LbP+c4cwSvUaajDB1nsBRFwJd5wBWdkSS6PJuYCMBpgO3VAlKuqROGqR89N4xPvONGjZUmWviUtuuW55i1vfQGrSFVLmg//JiDH7RRM/FUj9DdhxmM9fWplwoSYxhKFWMdE3d1hTJHyEc2KXRpN2Ud7+ux8vHPD78u5pIlssdJSmaHsO6ECFw4yXs8LOJ4pNe3F1Z+2eBJc1kSnGWQmTMnTs3BpFKkuJ6lbz0bI7iyG5wWbtkFCvXQytTpMpywVYUuz6AZawu8bWb76K//04PIVzRyvxiwonzKSttwyAZzoPLl+d83xtP5+PQhNPb5Xft5nDrbOzb6GZQecVfXred13NfPOVeZvOLgrvIVtpCcw+PUVtQZe7J/U8HfOSLNfppVkwlc2vQZS2Ljp3co1/j+lxYZFUGtNv1YLRdTbwiIC7oqC/PcjSj1XrDmX2iFKTlX2e2oVBZDYjNtLhBCE3gGX74rR0e2+tz/3OucNa5KgorBLFV9E1udWZul82DzaFcyfk6+WYgL9WqlJ/h4UMCIhvrPNT8ax72vHoy66DPGVxrmU1BsNl2hrZ4EAaRYrnlc/SMYJB4+J7GWou+evc8oQ/Hz8PBM5rAkzQqAi9yRehkgVTe7FvsYCaz9wt2URBDcOtRcA93QbOF3tZr9ba6iDxRQ3AP3ZJRUA8DzYy1S0GlkgnaS+gO4Od+Z4xjZwOsp7KETt7Q4JqJi35LMQx4LwD3xRhbMLxZImdEcSFv25G3C75X6HDyjpfyWDdbYvWhTDEiG5AjzDCNLyQiVQihSWLDJZsi/vWPNHnsnwe0+/kHlq6cFUGE0+MXdt5nf1yz7c/ojpQXZ/IyuNNynQrkYp5iTmLxfJS2VzGQGOna2bItW7SSBTZygKdG0B9o+pFkvL7K3uOC2ZUAXxv0vhPrCQPFsdM9ZhfabJ12zQpxaoaBoaAYNF8MmZclCVJMcx2CXOWbr2aTXfVa5i4Du1wZmA9ZL4FbrQG3HNHfJkvcZLo797tLzO3pmDg1/OonGzx3IHSetxhN6nh5YJnHBGUGzyscR/584YiLb9mDOSSpUVCX2bxsETKc0ntBE8QFTRESI92uaTKVGKEy4BvSVKGU5obLY378e1r8p4+PExXeuPvgxnr0Tf5Q5s0RmeUnBMhMtpjySXw7IB9WLV74b/KGXfdetkhTM6wSTJRFJ+WGllIPgHSiqTcQtDqCjdOaN66fpJOMoUSCfvM976dSqXHk8IvsmPw8fRvz9afBJFAPKYJEXbggMnsfArkYfKlkAWy1hrl1CdwjNSSZRJEXZfBRcOfgL+pKZFl/l33upCik0ipBVxK++kTA7/1ZnWYvK6YSecWgOx9f2GKmSMHeRQbzIsVVa1i8wO9aTxwuQH25/mQt2CkswpJMyQaaWoHzko3ACIEVGYsLkX0/Y3OZpfBF5pNLTZJYGqHhR9/b4ZmXfO57XEE1KQAOAiM1g2zIz9DLxlUP5gCVfzGQ50H02n9jlSke5JEYI0sAaQVJkTzMtmyRQzx52lKrJIzVezx9UPL0fskHv/8OXn/NVbTbXfS2DZYwFKTdiJNHF3nwmZBzi1W2TSkCDzyv5GmXRimPDJwvvefgVmVw572TazX3RRoWCjaXo7Ikd1B0KYjUI1nMPAU/qrulF3PghOb/+USDI8v+UHdLBTJjb1GyBXP35ALH5CLgZm2QeREXZeSeitL/Xsjir8Too45KNgJPljKbWQOwA7PJAk1JKiXCKNdwLAxJrLlkMubvv6/NiVnN4bMC64nM2nNWRmpcEkgUSR/h/tMrgrz8yF4E5CPDP7O/YcnKC8vnaIZZWyNJU4ehJB3uv1Ts9paB3VOC1Bg8Ldm6IeLmq3t86huKs0sJW9uKZlugB7EhrBjOzBv+5CsB3f4YO2csjaog8OVwAL7KM5FDgOdgL7a8KGaUDHX2Wlmiy9nIi9SWDKsEhzp71B5Mh/KkZAcWulsOwe0HCbMtwc/9zhif/noN62XpeDEMLJWAQAz7LFXZMSnS82uzmaKQsOXSk4v54WVWzz3mtYAuvjA5gYuLAL2cvh9q8wLka1lcKNJ0OFHM/P/be+94yY7qWnhV1ckdb56ckyZpFEbSKAckMCCCESbYzwEsB/wwOALGxgSb5I9sY/sZIUAEy8ggIYRQNIyEchhJM6PRaLI0mjw39O10zqmq74+qOqdO3ysRhYD3zu/X6tt95+re7l5nn7X3XnttLsGJuuK98rw2JjoE7/gkw+FxAgS6cqFPnFSwDORZXZz2gNUwC+S69lx2UKyTyyyCI5MiZN/Lav76dTC1ypBRAspNJ9zuelsra6iElzDti1nDgiEfr79gHEPDykfO9yScsckKpFM7FCf1W85cteDiRmNCtaul8gg3rXbj6G8X54sT73YTR2Z6clZILEWBokzRlWRANt/PKYri3hxFzYnNtXNvE0qVt2AMgRvujnD7A6Hi3U4+yKCiN8km5Q33tid0ptN82w2erOpgoneeV01LTXqPDOQW51ZVhCIfFxKgGtjERHKhvEiySC6tKE4kBFVrS0x1hRABIhwgkfCZxItO7eBlG5r4yk0McUoBJ82uR5ISJJJmbXZC1e9VUXu6SK5fLJEmMGcVIWbeBKv+Sa3XKXQQVHOdMqsMcZobrRZdwyyXMw32RpvhyBjF9r0MpfII5i4t3TJ72D80MeGB/fNnPoXLXnn6eCnC+FBf5w1l7zB8T20w8F0K3zO73JXu1mX53h6188ZaE6JpiOuYr1XkVtsVigaYRujeO0PpOEUhVV4W1JM4hUhua01SDXYFbk45vv2DAB/4jxr2HPRVV8pUTZgL6EHikEnVuTSehqZO32PqWVg+a5tQWlcxdXLodrOlwck/KPsKWBz6IL3PWSdXsVQpCydbkT5JU94u/LuiNFZJFvsrHCuWJHj6CMOOfY5aJ0IA61qUrZLNn+kt6RW/KqSTBaZSPNPzxlZ+phcddnPXWOWbos03jQNtqu3cUok4kWh3JY6Ocjy+t41a3xz4YeXPH9uy675zzj5b7eh5bHdLiY/2tvH0vhjz+kNEgVoFQoygN7vE5Jdd2G98YQLH1pNMMwHf29ihxbY7ZXYZUE5VBmbgLioFqS4Jei7HnmMUV15bwvZdPlAyDR1zY2AEamOwpifmdRRUgxY9yZSQsOlJj2KQWM2SQjR/7lA+JXIjL5f1fujUntnU0ZtoisJJbqkmiIrkXG8kJoSBEJk9l3QFli9M8LuvnMQDmz3sPWoAnkuwJHGUhiXrTFqvRSNYauqV02qVJDNqUyy7vInMLUsyDWIreAizUIvKXIlqF9LNCWGdOpQR1MoSC2Y1sWTxKGaMjCFJYgB6CdWShSsRRSHGxyUe3/wMkhpBOZTwPSUrk3pHPbf8wg3ICWQhEtljZqZR4zDznMB0HUpKjTwypyVF3l2kJYaSZImklVQ6PFfK8QAASOFJREFUTorRSeDTX61g46YQCHvAramJsYEwNW9GrMGGgjQ2181M3643CZkVAG1J4XPICqd4o8B6bFMXaQFeqEoKIXmjh2iKQqXUCaail0IQUEoz2sIJzcDOiQPSEjh3XRdv/c0G/uHzFGNt/fdq2S64sk+OBcn4eFYNoYDkMrPlk/YJSokGvCy8FiGlNg0y1EudCBkNE9aMQHblyUuN2f/H+IXr98r3KGolhsF6HYsWrsCc+WuQxO0c4CcsnoGRGTNv3bHlBx85c035HdWog8F6DNcRSFKGTld5TqScgJvZyuwUysVHRsdtDy0UOpJ2h5LlEZpSoX8mf2yXCel04Db6ElosC3apwL9fV8YV3yhj0u5WmptOLI0c1rXMfPLV1NYbbKJED6htLD+b0OqH1sSLYVyDwdpQh6kANzzczLhKQSBJHtUJ0dGbS3BIpS8hqj6ugC0zPQhSibIX4/LXTOLwKMVnvlJDW1i1Ie27JyhDVz+vTsSp0Vt5FcopJ6WgipdLovVYOnpTC+hMqFyCah95UggouTbH/HvOlftsJwHSRG1ba3c5OkkZ0m9+ZO2pK289cuQoYK4q/9/HPoYTFpcSIF4yXG+9fNbgUfTXJlAutRF40J7UFnc0ADaVkaw0aDi4VePusTI2TlO9EzkOyzm3McksdCungDsfPzM6E+pybN7l4YNfqOGpI75V7zbc2wGlBAEFAqq4t8tsbcxz8e6ce+fTSHrGMePfarNaxreJ5uDkWTi4fdKY8cke7k1sM9LseWlxa8s5ivSsFIF1wmX/RvNxfS+FGv0aqnPctdnD4aNUAbdwhqqTSGhQE9lT4M9mbvVJUKASxGY0Ob3QWhdz5co2qemfL/iIa7vkVCiL5CQF2rHE4QmCw12Jia7AZEvAc31QiK/cctsdd7/i0pfkERwATjrjRXDdCHt23IQvX/8ENu2qYqSP4PKXcFCiNpRRSnSHSY0ZZS/fpidU2ytk9GOqroTaUZrmtexeilKM3CaS23Vui5p4HJt3uXjLh+vYvNOH9FhGSUw7HkQZxOdT8nIK17ajd2Fix36tGZjspk6ehk1bMtRPTlfjntLgyS7pJlLnl3BJrOc196bE8FsJISmIbv5QQjNzS1XT1uVDAhAiIPQJksYSqxen+Ow7xnD5h/qweQcBSFLAMIAskksKdeWA9kohuXehIKpyIqX62kzxKCqivFKYVKV3IQ11JZkLMdWTP5RM3exndkNxqd7pgT6Jv3z5GGYOdHHvlhROaTUuvfhCNFttfPADf1MEuCD9cP0Q920bwLadQ5hd8dEXUDy5z8HCWSkCT4BJNTuXcsX9jG7Y6KQpselHEdjUSigLXxMr0SyAXYARk3BOBTfVtIRqnUlTAP92XQmPbAvAnalJJYhyePKJacnn7fhiS37627O14+2VHcQkdM/CQp6LsmT8GyiAfPqkU2aAJtY9FRpsJPdPIZqTCx3pOZEg2jTIpitOKrBuRYw/esUk3vkpB5OpfpPM5yx0JKYMsbZjy0FNIPQghCC6AkKJBrjMODbTc5kiW2KlWZCUMEutWEZRZOa7Av3zqR6QkFLC9wjmz/AwMToDrkhxwuxJLFwWYvbMPiSJn72vGcBH+jxEUbBzw8raLtoYWMR5F7UyQX+NoxolCAOOlFO0OgxSqjp5JlMwACayoM0uRnBhRW9lCWAitnoxFriJzPUlFrhz3YkGOUnheinaHLjyW2Vcc3sJXZonkzbAaaHmramVSTALQ89TozftOQGyzRN2LpnFbwXlAk//YfS7J8m0GyIqcivgqiqKjtZ6AZTU0lmqk0+eeVWbfWpqgMCAmUo12qauMKqiAj1B46UJLrughW37GK68toJmAhUNdDfT1LwlpUhAIQXAoURqAgq8TAcSoSM4ywY11FQPkxr4xvlKA51JqG18TBvuU2TmUxKKpiSpRLurAmyQAk8f5mi2gVLooFSagTQa3DVrcbiz2cyVYaYuj4989GN42a9dsMvxgqFqcOTcodpBzB6JMXuohZGBBjyvAxCg2/XQTWjmUJVZGFtOrmargqNXZBeMMAsuU0Y8Zde3TaS2hhkydaDQ4E61iCpFM5H4/A0lfPCKGg6PeXo6xy1QE0IoPKZ4t0+n1ruNhVgmJiO9PNxyCqCGa+tuP7HWHJrat+HkxGxvzjl4vpZFnxTTcfHC17a9tKnWWOaZGf2xrdgMT7dWCZoTzvycsX6wkmYJoFbhOHlljEaLYutuB3GiwV0o1anTWYCAwyTGlr1FdsUhBboltVDWfmzXxE0FSXF1kneI9X03AY63gWNt4FCDotEGGm2OI6MdDA8N48RVi/5l3759nzvl5JOmRnAAmGxTUBbemIjGpbc/3D7xpRsm0F+P8cCTDm68t4SZdYIVsx1IQeE4AoTlpT3HShpzoJq6tlR0w0Rpkkdxkj0WWfQmxERzbv2cpTUxSWUg8K3vRvjQFVUcGnNVt4Za0ZvaOm9d8yZmSj6v+NhUxJQJpwPelMFjqzxofxB5Z9P65jRRO0u6ZE5PzJiW0UWbVjaR+eVeVVGsaXVTB9e/27TwiQAEoZmmhGhxFiESIovi0PRFPR/HEjNqKd795gkcb1B89cayAriJ4BS5mw9VLrYxUZM7ib5KOtKSPkhLwCZIfqWkEo4EOCFwpN6qTKwchEo4xJaAEHgexfoTGxgabOA797nY9GSAgUGOl5/BcbyVPjJ7pHTjxGSr8D4z+8FVV12Fk9fNfGqsQdePT8iTFsw8hi/eHuKL3x3Cth0VyDhAJfKUAKtnHbbx43ZdvZ7PsTeamSVP1tyk3bSxeTYrJpbFKZ00q5w4PsfOZ1x8+AtVbNoW6E5lb/RmoJTA11UTl+TLW7NtDbTHKs6qkmSaGyt655WUae5Jvs+TZDdDaYj1/PSdyux71tDNdMpFMyA8bS2e5CtL8gaUVX2BqaJYQdmO7kStXq/VOMJA4p5HXYyOUYWUQvJhiaeALJqn5mvd1OEFWa9+bKkHswqKEW9Zf4tJQD0HiAKGGYMezlhJcPaqBBtOaGPWQAN7DjKsnFtD6Je+s33nk/9y2WW/VwB4IYIDwOknzQEhFDOGxvC179XwPw/3YcB3ceI8iVkDjkowta1AbtkglRF+Vt6z6QcvJJSEmHvte6HFQND3WfQ2kZtwHcFTzcVVxWTXARfv+dcavvdQCAQsB7XFu4mumniadzsW185MhqZLKrM2fC/3nv6GaR7nAqzpZzUNMKZwcOQ7J6dauRmurZNL0UM9sq4mlArQUCKr0wkUS4wcptTIMj4OSNC2xAUndfH+Px7H3/1rHbsPeoCrX1t++YDaBssAqaaDUkLANQ1jRBnwZwk9dGQXmhaK3HNGUKnWd0u1WRn6BFZr4HM5xFOHypDSw/yZk/j1s0ZRCbu4f3sZJyxZoFbF9xxTAL5y7cVwXRbf/vAE7t+SYn6NYXa/xEDNQV/NQRSQwsYyV4PbMxHayd1bTTTOKYdQtMTK3lV0yoGefW1+jtj0JIXjCuw9wvD3/1bFNbdGiKmeitdGk/YIWtbQIXqQwSSX04CXmfpxAcykJ9Jauzunia4mXGasxML1syWbmc98Rk8sRaFVIlQUQ2a4knqxLjUNEJN0EqLLgqqCIrQfiaqmqJNaSJlVV4ieBlJiLN3phIOUKL+b176oDS4J/u5fath31FOIERbQoX850XU+omwpOBTQzZWFQv19jsjlEeqewCUSnKkrqnnN5qRlVHvUpxKtDsfxcQpCPMRJBbOGHJy+fAyzZ9axfO2LYiFSvOuHAdwNhhGG5b+eObTkhLXzDp3nsy4G6y7qFQfVElApcUSBQOBzeJ5ywPI8BXC3sGsyn7JhWaTOwQ3YIDfPmchic3HNuwkHcwT2HXXwzs9U8Y3bNLiZBrZdEqRq65tvgdv29s7cqbIqiZwaxQ2I6bNH7uzDszQohOQgLyK7CHE7oZoqje0tFRajONGlNOPcCmG4t27CSGUpQbJIT1VKqKOrdqfP3nuefW2ftErU5EDi9Re34DDgXZ/RIDdWsQbYRPtJGOtgmN+hu6xQVxCAICEEHQJQvXrco7p0K5R7A9cVF5MyZ6VnKkBICkggTh20Oy6abYKZwxUsWbLy+8uXzP7r5uTkD4/gUVTBlVff0gCLto8MhGfXQsn6awyVSCLyFbADT+Teha4GuZsqrq3v83q1BqkVnbP+VmHq2rwkDW5q/r1KNAnjODDq4N3/UsU3bo0Qm+zDgJsaoKtIZTi2awaIrQkdQ016J3WmDBfT6aL3NHQlA7cttiqajD4bRSnoUUzYt8VJkBmQTRS3B5PVrIJq/AiBjBAJQ01AwTW4ia6Lq9K2ae1T/bMmGdW1fD2dz7mEA47LLmoj5QTv+EwNB0eRg1zKHOCE6BdBe150zt1UY0j5sqSCoUso2pTApwSRkAhkDnJb5CeERMIFukmCZoejMckw0aQIo4CfWA22P7PzxsacJS/94QA30YWh+ZYLTgvWk3R8XeR34Ln5hnOzQcEz4HYUwB1HzT+qRarqMWUqySREZE1cbrVphYD5ZHWpS0fzLOKrKkzqEHzu+gjX3BwhZtQaXGD5jTLYQwxuxr2RWcNN5dpyCl2ZOkVvg5tMjd5WgmjXxQsHKb6/U9Rx5mpvar8mQDJL16EbOoYq5zcD1vwxEZpzS6GbQUR7nRAt1iIayEqEBQNuKM2KsXAz7RwHHK+9pIXtexx85MoKUgDZwnqjQNR2DxnQpdQZpH6dAii8SZRBUgeJ4yBhDF1KEUmKKBNTyWyffZxKtLpSX6lUjheFFDENH1t+QvMtM4dL0waRaQH+ptdfjD2PX8GFGJQ7dzyOuYNNKGsJH93Y161Xobm3Wnvtugk8J4HvxQiDBFwkiFOBOJG46zGGRltdi+tViROXJWDm8hRK8ITqLFq/duRAJwwAI7jlrgBX3xKha5yDCC2C24reHs0XRmWOsIZrm7E0u4lj17h7AF2I2nTqNt8CuGG1mK2T4NkO21HY6C+ybWZmICAbOLCitrliZFE9z/dyt1hdUSEka+kT3fTJOTgyIGfdTqlvgmVgFzoR8IXA6y5u4YFtDm6+O9SqQvvyI/KTWSgxV+ALeLr5t2ZZgnpFibMaLYpHtvlIBEOn6yEVHhLfQ8N10BUMsUCmYE30IgUhCSZTCSG6kBCYN8OBW58tr7sn5h/4s9f+6AAHAFK9BEmndfXGLU8sazf3lmb2M5y/LkE5VDa3jAq4rlp57bkJAr+LUthFK06weS/w6C4Hm7aGaHUd3HBvgKPjFFJKzBzgePH6LlxwDA9wnHNaF2es7iL0JWSqNA7Z38AA4hB8+84Af/2pKh7f4yn0KtRbUVvfoLpojiV9zdxpp+XasghyMrUsSC1Q946s2d8rgNkCeYGP94A7q5T03GcyH5NQypxfZ+35bJFUT9PHcHQCXT3Rf69WGlKpNkYAJt9R1ITqhDQz5dEnA5EURHeuJZdYvTjBx98+gb9iwHfuCBRVoTKnJFzdQkfg9BO7OPu0Dmb0c7hE4pJTE8wYUCfu0XGK79zjohlTbNrq47GdAXYdCDExGaITBEhdF4mgKDsSgVBLfmNO4EcpLlrXxcyBDhbNn49LLrkEjuPhA3/2LDjGcxxfu+a6cKLR2nbdjffNW7uY4NKzxzFY7wKQcBy1U9J3Y0RBBxIdbNkLfOXWEPdtjrDnUIBDx3ylavd0Gi21LCzmAE8RBCmWzO/iZWe38erz21i3OIHnAZLrAO0QfGtjgL/55wq27PKQuetTV4PbiKjUPaOAT4HQdCy1z4nLpK55m/G5HPT54+IYVOExQWabYQ9dU/ux6WhawLefyzuYPVcHOvXr6VYoTidFLhiVTmMvnfs86qabw/PSbjbyp8qxTmGIRPUblHtULklW+h8B6kls3uPiXZ+p4tsbA61ZAZACviexdnGCX7+gjZed3cHSuSmCgAApQxI74CmFlKpf4PkCUgocPAbsO0xw32YXX721jE17KohlCdTzETgMVabG7CgkhirAy8+gWLkwxqIVF4wvPuHSP2dO8Plyifz4AN+7Z1eYdMe37d7yxXlHxo4BRGD9CjXI5HkxAq+LctREsxvjo18JcfO9VTz2VBlC+IDrgrhUX7JVi1Zd6lLljydTII2BWHH2NQtiXHxWB+/4nSb6awJSANff4eNvPlPFll2uitzUVEmsTqWufRvL44BJBDTfzOBSbeZjSWINwJ2eeVLHjKJlC7AsV1xaBLItl81a82ZELXuuyM8pmf6KYKo1U3KBTMSmm1Emj6A2yG0bvKIOKJ99tRZyGaMks4WO5g01h3FQlm/EsB3BqG6yUaryKuoBj+3y8K5/ruCGO3xAAPWaxDt+ZxIvPquLNfNjMEqRdh3EiQsuHHXT0mupW/GUqC0OnptAyhSPPy1w030+PvKVfoy1qyBBhJLDUHMUFTrjhAbAJVI5A3/7ttfvG+yvrli4aFH72TDsPBfA582b1d2xc/yPnhid+fU77jxWGqiGWDpboF7pwGUporCFbtLFe79QxRdvGMBkWgL1PQQOg8eQ+YwAik8lkqLLKWLuQIpcjply4OEnge1PM7RjgvddPom7HnXxrs9UsHWXo/5HdnKSlaH0jVBQwHKlKqoEbUCZFSnmeZY91xtZSYGTUysimwHsomzWKhVSW3aV33J+UrhT98YDxcrNTJuPUJ2MU6JEbiLXmMCMkxFkhpmKkiAv/xFDWwxN0dM+RA1HkEyVmNfOiRR6KIFCSDXALKXIvcoTYM2iBB9+awNCAHc96uK9f9DEm1/VQjngEF2CpOsg4Z66pR7SxEHCHb09LqdJrY4qK/teguWzu1j8yg5C9yj+7gqJRpcgJiXAAQZKwDlrCOqVGAhrTerwPypVZnSfC8PPCfDHdx0TlcrC+1eteMnE3XcdKS2aKdDqtFGvtBGFHXSSLt5zZR1funEETRohKjsoOfkgr6OjT6YGE0CLU0ykDO1U7TuH5OrmETQ7BNfcECDyJbY84WDrEy4QWSEuaxOaXrZJNpFzbyuxzFeO2Hvle3Tf1DQUrHa8DfYeRwGbs5OeCG1a8gro+fqW3uuk3W8jNtBlDm5qHmuVHjTnFjqxywBrtCp2gikMH5daMovsBFCgzkGuTkyqp2loVjunFtCJpJAQmc2alAJSSCABVi9P8Ueva+GcdQ5e+9I2yr6A6AKc02zdeJJ46MYe4sRDnDhq5bY2XjQNQMfh6MYpOrGHKPDwuy9ug8jjeM8XCCZjF8L3UPUFdu2tYv1qipdc9JKJwaF593c7R8VzYfi5I/iMYZRKztEjB9PL3viq5d/rjt7thj5Qjjroph2870t9+NJNI+jSEvp9goqrVkn4TOpJGZ1IaYDHHHAT9fGlgqpGjaAZABgFVq9M8cYXd3B7v4cfbPYw2mTIretMjdWuoih/69zX5Nnr29O141lvGZA+y89YvHt6ykGsKss06wRJDuIsGZVFsAv9H0rzr5W4SYM66wiZZDL39CbIE10F5vyxat0r8CvhlgVuM+Ym8uieDVJkir/8pppTumLCgOPHKG6728Pt93s45YQEI+t51uySUCtW0tRBN/HQ7vjoxA6SVIm01HuRT3B5Tgo3cZEkLkqhg9+6pAkux/D3X/Iw2enHZMywdV8Ha9edkhw+nl42OKP/qF+qPheEnxvg5bKLNH0MJ53Yv79Snr/r+msfX14pHUOl3cZnrqvjqptGIGmI4QCouAKRNsT3tM2yo3EIXbyPEwWqVEhMpgSxaeMJCSYkLjq9i0/9xTiWL+JYPC9Fo0Pw0S+UMdnV3KMg+tBRHIoH90Zvw00dK1EzIvqCtoT2cF5iURMD6GwMrZhU5npxYrX4i5WVTDzU++aayppFVzLJtdGYUCu8C+sfG1pi4j8hVv3b0KU8mousXKgbQDqKZ6VCoafZhYQgFJSKzOCTamqi59jyDiMjaHQoPv7lMj733yW02gR/+k81fOovJvCi9R0QqgrgUhJwwRDHLpptD822h27ClG4d6jMxWibPdeF5KZLUQZo6KEcMv3VxE0Icw6evpYiCKs5YW8bMuct2NeTc/Rsf3IHzTl36kwMcABijePCex/eWytXL15+0YuNdD9yCj/z3EB7cUYXnOqj7EiWzysTT60zMpgddeVCRQ0kxKQWasQ5lkgMJBxUcF6xv45N/NoZlc1LINkHJF3jFuR3cuDHA3ZuZ0mAWDpLVvaezOu4dQ2P02SI6KYDbjswFlWCBlxerJL3JpL0q0ZZRm+mfgsOwhVsh8+hN7JebTbaoqJ39v7KvkdMimUfrTGIriB5Ts1r3RJ1JhlYJYVMXCkqEpe/OtdvZ2eoAj25zcf33ArQ6DAiA7U95eNvHa/j0XwAXndqBixRxooCepA4mWj7GGx46sfLuJkA2Q+A5DJ4rECQUacKQpgxJShGFLl57XgfL5jTw7btS9A29CI5kl+9/8qG9Q/NW/DD4/nCAE7IKjWYT5Sg6cMNt5I7Nu3ec056YxKDHELqqiB+4UMuoPILABXxPG+FbvoaUqHEjOsax/UiKVlsC3Q7m9bdx+toG3nf5BJbN5RAxU594GzhxcYxXXtDGYztdTCbSArkhz+qzZyRLN7WoR+r7HrAXtCiworLFv62KifnwzUlqV1Hs71M6Fdi9DZ5e30J7i4GdhBqFoGEB2b+l2f9Idx2hk059ZsAkniSnKETrwaUAkdCWEkIrCElGWdSMpzWAkNERDWrzWMdwSiUabYLrbg/w6E5PGcwQBkmB7fscvO0TFO+9fBwbVseYU2+DUYpO18exsRoOHnPBuXo/zJC650r4rrIpiROKOOVIUrXRoRN78L0QgUtxyfo+rD9j6R3zFp91II5b8P3pu5c/FsABoFIqYffOH+w45YTo06XLFp9z5X/eC/ASCFRZKvSB0CMIPILAowg8Cs/ctCm+5wK+C8yfw7Fg4THsPtjBM4ck3vTKcVx6Rgf9FYKkE+hJIQlBOLw0xaVnd3Dd/4S4+3H7T83BQnvoybRRmk4X3cmUx3Z3spiIkoyrF6K4Hd2JKXtND+gc2NJ6CapkIkEy2z8K3ZXUFEVqTp5ZpBldU/ZOaOBl2pJ8SxohUJHb0opn1hLZ4EQOaiHyqoqpnhjg2wclwKM7PFz/g1CvXjSNNgrpSzzxtIs//ZiDSzdM4s2vaGHPwRg7nkpx/FiKNGXw9aob11Wuab6rfAQDjyD21Uga52ovD2MCjSawdU8MUl6L4aP9n37i6ft3XHL+aT8KdH80gAPAgkUjAMr37z+8/NrT1k28irLdeOIpgtABSgFF5BOEAUXgMQQ+VTePIPAkQl8iDASqpRSzBls4Yck4HtwxgS07GS49J8Zg6KLZ8tVEOGRWf01iYNn8FJec3cFjOwNMcj0nZymtKdHNtKzkJ6fQE7tjmfFuK2rbC7FsL0bbG4/2Pj8F4MWWfW9i2StVllpppZ7WQwjS5HDq90iRnzBFjFm8hkBTF+jIrGFP8vY91xGd6vlIqpevKg8VZP6GRK9DoXoogWZVE579XkKBRgLcfGeA7Xt83Xzz8r4EKKQjcHjUxbc3Evghx9YdIe56vB+r5xLM6euiEhIEPkPgE/geU0HRp4h9tUrQrC1hTCJyunh0B0WpfAJWrVtybRrMvz/wJ35U2P7oACdkCXbuPLB3cPi8t110+mOs1Uku3XOAIgo8lEKCUsAQBgxRQBH6FFGgQB35AqUwRSVKUa+0MWtoHPsPx/jCN2s4Pklw1pom/OEI7a4LAHpYIoHrqGtyEHKsWxqjWuGYHLU+Xw0mLVUpgLiwNKq3gdKbSPZw66I9NApAZ1nCSQvc3baQmC6pNAHXpiVmOr4AeKMl14pBSkhGTWTPBaFYPck5ONflQm6ojFVJMWv9TKKZi7hIVkLMKibaabaXolAiMdGg2LTDg+AOELgK4MwHpQyOfi86cDEwo40Xb4hx2mqJfaNN7D7uQUqCgUigFEpEAUHoCwQeRRgzxAlTABd6v44DUNLGgTGBeKJy/e9fftbbGqOH9lX7Z//sAQ4AixfPxMOb7tznlU7bnIrWpYtn7FMvihE12RxRlEOi/3iOUmDAHaNW7mBkYBxjrQb+4cs1fOuuIQgiccbdDbzmLFWOcFiqpbdUA5gj6TCce1KMVUsTHLgvtAxm1FE0qc+XRvUa69iVEUat5woROj8BWA+w82FjmrfvaY9mHFYfCnnkthlGZmyfeaDYAn9tVabBrfxG9ETLtIxHrxzhhoZIrRaEWqlNlNyWUsPt1fcyyzetJKRCVVlsK2YFbs3De1pVm59wsPEhX3NvF6A+GHNRcSQiR3WREVFcst7FmSsqoEQA6RG87wsE24/UMbdO0R9LVGKBki8RBsqpKkklUs4gJIWUFJ2YYN/BEk5cMRvLVp28+aGH7953ysln/jiQ/fEADgAdsQAdMfsjF27Ys6i/fPx19z7cRBQEqJQYqiWJSsRRChWwy2GCchijVmmjFDWwZV8bV9xUx433jmBWH8NwFWg1Iuzcz9FXiREF6qYihQCjDkTKUI9SlAIlt5VZN5Pq8qAGOYpcO1cQWpYQViWF9dIUqwTI7ASyQE9odiKwTHdS7JbafR3b/pgIeywtl4IaqpJBVv8/pLmHHnaYDuEqHANUObCaKfpUKNEZESZy57Vx5VHYK77SFRRKsqpJZkZPiUWx1N/Q7FCMNZnyfaQuKGMoOxI1V6LiCZR9oF4CanQAjz1Rw1BfE5ecMoY0PYr/c1OMbXsH0U4YBlKBTiJR1qrTJJFIuYSUDlyHwHcTHGqUUBeLrj5x7ckfQbL/x4Xrjw/wDSfPwcHd14+PrJrzpr/5j+2zB0j37NnDFH0ViVqFoxJylMIUpTBBOeqiVm4iChu4+nsCH7hqBAmvY1aFYlZdYNYAg0s9HB1VtWvFv40IKIUrGASo+pTMG2yFyAzIsDn3dNM5Bjh2SdCuokzDu01VhZkoriM3Q5HiWPe9TUtpabZtyzKj9VZLpWQPP5dWxQaWmaWqKesaE4opt17dl11CZG5lQpBRFALtoSKRb4kQMnOpNUmmFEL/TnOjmaWajj6aB1KAMriUImJqZ3zJA6qRxECVIUl97H7GR5JSCEHwklPHcclpR/D+L3fw9dtmoJX6GEpV9O4mAt1ERXEhJFzHwdwR4LdPb9/51XuWvemzV97c+pM3/drzD3AAmLHwUtz9wCOtf3jry+N7vv9teHQcM/oFquUYgZ8i9BOUwy7q1SZ8r4Ev30Lxni/PQJrWMbciMVwV6CsTlCMGRgmSFOgkDGHKkHAGrlu52dqO3jaJLnEZ/l1YE27AZjV2TFRk04Gb9j5nb62YCm5m/Zzd3s8SzR6AG8G+1MkeYLmjalG/DXCiT3QTPZW7kzY8pfokR77ljJivdV3ckAlBzPCx/paaaVAnlp7T5FkXUyWXxV2ceumsyLm6afbkv1k12xwq4VE1n+s5Er6unHEBTDQpjjc8MKZKeoN9BO/9rTE44PjKzTOwL44wVCKoJRKlWKLZFWh3JeKEo1QexFnnvzT+g1elrXkLf3xw/8QAB4DTTlwIKcV9TrJuw/FnbgmH6+MIggQEBL6bohK1cKTRwne+5+JDX52JNK1gblViqCRRi4ByqJJR11XJkFr6qa1+JYUUKmpktqQZ2S2Kq6bj4Plji7JQMoWXZ80aQqZw8F5aYsDNeoBNLfpjG80bgEtJQLj6OhUG8BKcCw3yYoXFJMX5QLGO3NR+96dknNnVQ1VM9NJV87wZnCB6NbgGPyVWFLdoitn1o4KM4sPQwivVn5NmLAuAoXKy8N5AAkki0eoSNJoOPL3YAAQYrAPveuMEPLYfN9wziKfGa2ilDKEjQQlH4ArMEz4uWri2HVaX3kcpxU96/MQAZ24Vk5Ptdy9buUE+Gd/3Z08d2hl04jLOXpWiHLWwaWcX/3BVDXduG4TvRJhTERiIJKqhAncUMgQ+g+uo0p5iHpZ3gj4olZhsEbS7aoBVFwXBiJnaIcocaAotKfqWFyd47HKfFY31B2wiNyXUArWlE7dWkyu7uh4ubjAoVbSmupSXpAqwaZZQFSmKLZQyW95sT0LbxMYeoyDERHQFYm6BOqco0koyjU2DmttUbXwKTmVmASeFGlw2Kwq5ZPqKShH6EpVIoGEN8NixXeqTOEkFOl2JyTaB5zA4zIPZbdlXofjb357ASzY8g/d9qYv7tw8i9H2cs7qNiWYL85ee3Hnxxed8slJy/9YPop8Y4Own/kkAH/zgP8qXv2TNHRMtj23d427Ytddnp54wia1Pt/G3V/bhjkeHUfJDzKoI9EcqclcigkqJoRw6KEdUV1wEQl8g9NJsmNlz1XxnVOrgrkcpvvTtKo63Q8DxQKirzHxYrvvObtkmN3spVhGchY1wNN8QR5kVqRkFZVT//4j1sz0b5Hq2yRVXJ5rdn+r9SjhBuyPQ7qboxhrkQvldm2TU9gVH8Vy30Z3D3KQkWRWnZ0YUxQaWafgUHltXNhDkjgPZOvPcmMlxBBw/xaYnfezeFwC+B5exTGTnZSvdAcdR9I4xmgnRoDdwCqnWba+YG2PFnEls2weMNwK8+jSGM9YMxiuXzPvIocMHP7DqhLXpT4PRnziCm2O8wWJJ53949WIRTw4+/v7Pfsuh//PYbDy8o4x6hWEoEugLJaoa3OWIIgoYwoAi9IDAk/C0G5YR5ZtJfIdxCCFw/xM+jhzXzQTigBI1/5CbZ1pjaT0VkyLv7u1g5rTEiK6YTUvsyK3VkVN80Wk+hNA7eWPAJCVB4qsFAge7HOOTHCkHTJsnr+xYsl7NiY3RPdMF8V7Acw1kbpJIK6nkuqrCRf47BLH4OZHZKnCuBVmU5vzbrAgXepmVEAxcMAz3xTh1eQe3P5RCCg4uHaSCIJV6cSuXSFKCOJHoxAJuh8KhBEzbeeTdXkWZ1i7s4B9/L8YtDx3F9gOzxNDMpe9fvXjOx58+OB7/tPj8qQH+skvfiJ3bvt7uq8679s6HnPfd/cgm9Pk+ZvVx8FigHihaUgkJyiFDKWQohcpAKPAlAk8ogLtqiDmzdmMcvptidBy484EQE6la4Eqo2UosC05VWSeSFKfki2333FotT0RzDs40Lcl2gNK8bGiD2979aa4W1EzQ2KNk1oRNGAg4XoqNmx0cPUYQeVJXZPQVwmhlqN4FSdXGBMYU15GZdtaiv4CO3hbIdbnQcHAzk8l1NSfbJGzNdmYrCKluBpnauKDgQoBytXOTCyWCigKGs0/t4IobYxxtpEhcD11BkHCSGdTHqUQ3FtojR4Ob2tbS6v0J/QSNtkRjoo6zlnOsWbVatuSCa+/b3mq/+XWv+Wnh+dMDHACItwB9M8pP9vUPv+XdfxD86/HDt9FPX0dx6HAFtQioRgTlElMAjxxEIVGdTl8g8NRN+atwNaHv6DKhG+PJZyh2H/QB6A0NhKqRNGbREmv8rHd7QiaE6u1oWtHbHjDO7lkvrbHBbW9uloXni0676qT1PY6hegucTmJ/ow8Hj1UwoyYQOFo3b5bkUgKHSWVEacAIFbWZGfsxrU2LmnBYmhTkJVFTLVHaHmQgztr01BjLaz9xARC9vEoIvRZcMFAhwYVQN+5ASgeLRhIsm9XB0a0xUu6jzV10OUE3lfBSAjcxmz+05TUBiM6fzEEp0F9t4+DxSVx1q8BLz7tAnLNh2VvicNaToj36owPw+Qb4okXrcWj/rvjsDadfseWBTVG7FXyiFrbASxR9ZYlqWUftkCEKCEqB4t1RIBB4HIHm3Qrcint7bgxCU1x7RwVPHgoB1wOhjrKaoFLt1rG8vbOmzpRSoTXUQHPAm8kdUxpkpv1uKibEmt+0lttm4HYkpl/PIjKPRs/h8F2OIIhRK7cQNSYhkgij7QpCj4J7Ap4D+I7y5XOo4uKOJBBMZi6zkMQgvAhyWNHbjLaZUiA1kVpVY4g01RJNXXQCbOhK4Z7qEqKgoFkEZ+CUI6UO4tjFouEUrzqnibu2lAAeoMMdtFICnxF4qYQTGy2+yGUMAKRk4IJqPThBrVzC0bFJzJhRxfEO+4tlK06/YsuWXfzE1Sf+4gAcAEZmL8Kep57mMxb/xs5Hn57XCJ3bKvOHYwz2eaiUGHyXKtWhn4M7CjjCgCPwU/hegsBTU/q+F8Nzu/jqzT7+67YqUukDjgeHUjUxz4qJZTae1tt8IXkrvagu7KEoVrvepiamOuI8F7gdVf81UynGVddz1BXJ9xKEfhe+1wGjCYhIMJlIjCeqhhzpCOpJFblt6zYFapItfSo66ChNN+dW7ZsbkCLrbFLjTWiiuNArT8wmCIuXc0N3jI8h1618olrolDqgVCJOXLhOitdd1MWm3eP42m0uUsLQoB48SvLPhCqHMtXGVQm0qq4wdLoE3ZghSUPMnTUP7/6jCxoDM8/Z2Zp8mq9evfhnBcufHcABgDll0LRz/csuPPtPSq77yQfv29hfDlpw9G8JXGUEo6omHKFuCoV+jMBX4A68LkpRG3uOCHzt5jqeOlgCyj4oYwip6g57VE/LZ1y42HovLIaaLnpnXc2icb1dOixYR5hV5Ba43czsX+QW0kxREtfV0dtL4HsJPC+B4yZQi2hSgKdopD5cki/nK/oPaklCVlUx4Fb1P1P2U/xa6F31GtQir5rYUVzxb9O5hF5x0tO+p3k/guhTqygh1l7uRKDd5Zg9kuKNlzRx3yMBdhxy0GEM48SBY8q2ujegGlUiW0OSpAKNFnBkVIK6dZwy/7zjtaFT3370SHz97DnhzxKSP1uAz51ZBwAcH5246rxzz3YWz5EfaRy6Yeimu5uol6qolARKgQJA4HEF7kABPPS7iIIOyqUWDo8l+MTXKrj10RoQBiDMQ0gJIu2P4RqKkoGwuCWtqOXurY/bjrG53oRkiaZp0dt2EsWyXwZuR2h3XRO5OVxXmZD6bl7q9JwYjKWKK0AAIkEnddEkJB/WkTJrh2eb3Zluj2uxOIEE4WQK+DiX2WsQAnlUNlJZHaGlieLZCpT8MZEA55YrF1HJpiqw91i6UQGSemhNCpy/uo23v2EMH/wSwzNjFE1ZAtWTVhT5FYgLpTUJuYBXoajWJvDI3mFc9OKzjqxac8Y7ut3kqjlzB36m4P6ZA9wc/X1VSHn0ytqJ6+mD92z90FOHtw7NOYFj1mAbEqoc5boCoZ8gCmKEQRelsI1S2MSB0Rgf+UoFn79hADGJQDwfAVMORyGT8PTNrjcXOosEBYu1XO2Xc29CezqXvVUTe403y3l+xrVN5O4Bt6fB7Tkql/CcRHk0shSUcgVuKQGZQgiOJnd7ZLam+G0itp63zECmns+iKs/r2pznTR6aJZM5sCXNd95LkQM7s/rWA8xGTkCyVryduJoTy81UKlEo8eaXtkHIMXz0y8C+40ADEZAllMoli3OJNuUYaxN4LsWq5QwDCxYfOe30M9+173By5YKZ1R8ZXz/O8VM1ep7reN/7PorK3DMe3nu4emTJTHlu4D0dHjjeRKPlYLiPIfASRGGMUthBX2USYdjE128n+OR/VnH1xj4kKIF4AXzGUHWUkCewJvY9a3K/uGPHisIW3zaDDPn3TROC6IaObvhY9W7H/A5HUxNH7wB1lOZiWnC7Kln2slsC103g+10cGAVuuCPEM0ddwKXgYGqCBkbVYSs9LGELsXxW9NmQT/bnVSJ7H1DetbWaP70nfgZa41toSwAIivsv7W/lzSQp1FjiuqUxlixog5EY27YztLkDzhhcQuAQCUooFs9NMDjQwugkx9DAouOvu2Tgr5zkiSvnzV//fMHw+Yng5vjL3381nnj4y19qtIbjm+9u/tsDmw5WzlpTgut04HkpSmEHg/0NbNndxbV3BrjquzU8fagEGfogngefKhlmaMDtSGUoZEXw6Xi3Xfu2u3rFx0XjHkNVmE17suW2soei2AllTksycDspPDdW4HZiOCxREZzQfNhadAFQdOGp7QjIBZMqchtgG00f9ASTHuzQhvecG9Mfo4PXehNKsgpK3iW1byaSax255uPIuD/JSohSiuIGuB7Iy45ap33phg5OWTyBE+bE+Madfdi0YxBO1YPHlH6+Fvo4dSWHU12Ehctfc+RI7H9l/YoFzycEn1+AA8A1G6UQiK522OL0wtNrX5xRfSJ45rjEsjkScdrGzQ9wfPLrA7jn8Sq6IgAqDIwy+JSgxIqR22NQkZPlEZvaUcyqoJi2dS/IixFsGqFV1tG0uX0PyB0Dcp5tt8gjdwLfUUml68RwnRieGwMOh6S6wJ2mQEK0FQbQhQc55WJqTetkdEQvk+K53oZQBXalO5G5/FU7ZfUCW2TalmJia1YTAmZloV5upRNPYRytrHp7PpKnrSESD33lBH/6mgRnrj6Kj309xUO7hpGKAEODCR5/SmLl8pWds5fNvHz52oW7CXV/qjb8j3I8bxTFHLd/95t451tfJ5fPm78tiJpbdx1kr9i6o+MsnZPg6o0JPvTlYew82A/HDRF4DD5jCBl0xUSBW0VvVS/2VUMTLiNwLVphy2ILTR673p1RmJyeqOYKzfUlmmsr2wvoZVvmOaErJPpef53REU+B23VjVRHyu4DTxbExiXaXYf9hhru2uGglEtUyR9ICuEIVOGHgsOhKgT4g07/3+q7YfohUn9n5vGixsWUGPexgYJ/06rRCNuzAjWy2R7as/p7cqk5dDShS7qDT9cFFgJn9Di48uQOJFLv3l3HhiQIb1s/q+KWR3yJy2TUPP/rg3tWrVj7f8Hv+IzgAvPhlr8Xnv/JFPho63+ivL/rtxTPcLxwafzjauruGiltBpQ4QCCRCdcIEFOUwGxpcHbkzcDtKKJU3D/LLZ4Et2jQWyHimzV97KU1eickNLu22u0NNOVC1oRUl4fBcZSPtOTF8vwvCOth7SOLaOyJccUMJ4xMUaxfFePfvT2L1ggTj4wxXfCfCNzeWsf8QR0dKxDLAJJwscptBDsIJKFXCLCJUZKW6CkJ1NFc73aWeypHItyFbURxTh5/NoYYxdNFS/5yU5j0DHEdoT0FNhYhU5ppaScaFco1NtDWbUoYSrJoT495aAylb1Zo3Y+bvXvLS5Bt33vG4fO1Lfu/nAb3nP4Kb47pvXIu//J3/hf/c+pWtK2av2/2DR8MXuYkIzjt5ApNNgqrPwByCya76YM1OHZfq6O2q+dbAIwi01YDrqAhseGOG6yxCWSNnhFjRm1hJpUowXWarAK3ozZCvS3RVFPdcBXDfgNtTjSrfjRGFHSSig3+/1sf7rqzjmlvqODQZojnhYqDC8ZoXtbB8jkQ1pDj31BjnndhGFKbY8gRDNyGqYwiW75ZEr9lQz+uyb3Z9fxrq9VwiNFXWUxSEC1UyTFKKOKVIueo8mkFoSvINezRDkPr+4dEIR8dKODYhce0dQODUccnZw+ODw/1/KKMvXP3IA+fhZS97488Ldj+fCG6OS176Gnzua/+Ourvwa+ecPOK6zsTHv71x80ApmMSKJR6428A3fkCRtDzdEIBKUKiAp8Ed+gS+R+Ey9YGnXKLTFWpqxhryzUzl8/c/l5X2JJqFAYhCHVz23PI9n47e/Zltt3BjlKI2OqKLT18T4hNf7cdYtwT4atpcgEOyBEhddFoRWh0HjHKsWxhj0W83EHkCn75aYLwDxEGEJlET6r0dWqbltdxMHgmlFmQ6sVSLY2W2QLZ3qVXxIJl0lupyI5GqsJekFO2YIE3V++w6ysoBUGIwz1UehJ7DIQRFyhma3SZuvp+DCB8LZwmcvNIBCU45Vq31/bmUla910t/Aq17/0wuofmEBDgC//4Y/BABs2T32JcYc54Jkxocfffh7Q6vmj2O0MwEqqlg6AwgqMbbuB9pNF/VI2cGFPkUpoAgC1fpnDGh3JNrdBEnKtWWC8twnxpZBkuk+WQvspADsXNNim8mbfaB6/yeTVoKp6t2B10WjE+M/vhXi01cPYiytgJUCBIwhcoCYuXC9CpqtFKPjLjoxgeekiJMYpaiFt762Bc6Bf7uO4HhM0SYhHEIKm5kZ10pDvd5DiaD07kxNUYSAqo7o129ADmCKra2tC1eUTK+NoRSdGGg0CdpdpXb0PQ1wArgORSQIAo9jrNnGjqcqKPsVzBrpYv9oF8eOtDEyGGLDORcdWbn21HcC6ZcImfHzhhqAFwDg5li1sI6jo43PX3T+6STw+YcG6XVD992RouIGOHONg9PWjOOKWxJ8//4BOJQg8IAooChFypSxFBJEAeCwLuKdMZ4+pvdiOoBj2hRE88+eD1eZU5KMXxamgIiZ2DFGnYZ752KqPIKncJwEvtdFOWrjq9d7+NhXB3A8rsIJQ9RcgponUfUE3BrBnHoZ+w9G8GkK300RBl2E2iahWiL48ze0cHic4XPfciEIQ4v68DjR25lVNHcokFKAcUXhuNCAFwATFucW0vI06SnxFZo2+Yns6sVilAjsP0rx5FMuGKEIAzWBpQBO4bsUCaeIggQ/2CbxpRsCbFgW4tfOrGPW4FEcOubg/PPPPrJy7ZnvAuTnCRl8oWD2wgEcAAb7KpBp94qXX3RWuntv8xN7v3l335qFHKsXpRist9BNXLgMCtw+RSlkqJUZamWgVubor6aYP/MYjne7uGPrACLGUAlFNiwgJLJFqVOsO+3kkiKrMJjoXVgPQtWmN2q2IzAOl3G4TJUFA6+Lh3cCX72liuOtCpxygJpL0O9LVH2BaihRLwHDVQ9Hjrvw3QR9lS64rlAACmz9NY7fvLiF+7dO4JF9DpLUQYs68AWBw9WmCi6INbSsW/PC1LrzyJ2VATFlCjA7+e2lt4yq0mc5SOF5Tew5kuKebX1YMOSgr0wRJwJCOKCEwHeV9DlJGXxX4mhD4LFdCeaORHj5WcM45dQLRofnXvRXo2PuF/v7/BcSYi8swAGAOD4a7dZVbuXc44vmTS6+aB0+OnbsZvcLt0o8sD1CXwkoBQTlyEG17KBeAfqrHP3VBLOHm6BsHA8/EeBYg8Kv9jYzYDUr8gqCPapVKJkV6uAyi95mEWmBqug1ib4fY7yb4IrrKrjzsRpIFKDkUNRcibKrjG1KAUEppPBcim4CNJoMLnP1LKoWMFGJickUp6+axJtfNYH3/0eAox0fHcbQphQ+FUgE4AgJJxteVoLDjI4IbZFsTetnQ80Sxbp6z1IAoneTUibQX+vilJUtfOveCvYcccE5R8oFpJSgxIXnUpRDB2MNH6cuHcMbLjqM728ahNd3frJoweRfn7nkjJ0guIGQFxbcgC0sfgGPShiJChu9/sPvuuyzi5cs+d8IL+RSDotFMwVCj6BWoqiVGfoqwECNY7AeY6ivhZmDY5jstrHroAcpqdKK6PKfhAKAkJjWniFTW0zDu2l2yymKKRGqJU2mVKjKgvdtcfD1jVVwFsJ3HJRdILLspAMX8FyVFHJBECcEnZiiEzN0YxfdxEWcuOjEPgT38ZqzE5y2sgnwDjjn6AiotXrZTVU6DOfO7qXMorkBusylW+pVG3Cbk1gPAQuhNOApJyBgWDTCUY+a2D8KHJogON6QGG1wjDdSjE4AY5MO2l0XTzwVolYeEn/8xnP4kmXL/vck+83PPvDIxPWElMWPBYLn6fiFADgA9A0txUOP7I67cvgqPzxh5cVnLXnP6oUzUY8EhvtdDNZpBu7h/hbmjoxhbHIC//zNCDsPllGPjEe5GngFVIUlTfVQb7b0Rh12HZxOSTKRlcJo4ZZTFKZt5saaHNfdEeHwmNpPFDoEkZYV+A4yd12Hmel1NbcYJxRxwtBNGOLYQTdxkaQuWi0fI3WKV57bwmC5A6QJYiERC4LUNF+s9ntGT2yaki1RldomznrRxGjchdbVKBzGKUOn66DTdTA+6WP+sIO3vuYYavUGdh8jODBOcGyC4/hEimPjKQ4cJTh8nIK4C4Fw9XvWr1628qSVw1dVov3x+pOW/lif/fN5vOAUxT5OWbcKANq3f/8L2y84N/rw7qdHvNXzj707wD4GmWBkIMZwXwuV0hgOjk3i+5slbttUhUdd1EKBSkRQL6kO5eFRjmaXIHBV88OVZkLGauFbM5vFLRDqll/GdWTPNpapkTqHJdj8BMUN95QB14fHKEoslxWoyfLcHQtAdmVRdWaCJKFIXGX6nrgOktRFN/bx0tNb+MotLWzcHCHlHrqMIdUlQV7g3RZdMSVDq1EjZG49oWiKulI5DuB7HIGXotVxcGxMWbABEoHvoz8Ncf7aFl66/gBufSTBocmq9q3hkFKgnUjMn7+Cr5kx8I/XbG9/eHjzk/z1r/rxfAN/HsfPrdHz4xxf/MK1WLzszfIP3/Qb3/vv//4P33HS0+LOmFOvHMVQfQzff4zjb68YxKHjDsbaHjwEmFmTGKpRjAx4WDibIJZtbNpNEblESWxNJHW0Ob9DlW+5A93AMTe72aMSL9XkEZmgyndTBH4MTjr47DUhbn+wDyQKUXIZaq5E5EqEGT1RJTbfU9UHz6Wq0mOUibqhZCoZDlXrywf7YzQ7Anc/GKEjPVCHIaC5grKof7d2eNriMZorJR2tivQcCc+TCH2OSinGrKFxPLxDYusuD0I6cJiyvC6FCTpJB/1V4LcuSPHMmMAje0OEIcOCWXWcuWF997wLf+2fVq858++u+MDvyxdf/LoXGjbTHr9QEdw+fvs3Xw0pD+HAgcF3L17+MsqiZRu+cf1/00tOcjY8umPUmdfXj8tfcRTfvC/B9++TKAdArexgZIBh1aIOUjaB/9xYxWDZR1X1nAtS0twmwvZP6bV9UIkX0RuAC1SFcRwZA57cb8bpWKZXz7XqtokQ0boNZJWPlFOkXKhtBpwiTZWeI+UOeOJi6ewU9XoX46MciZBIM4UfpjRwTBSnQrX0qd57JLVFnBFTmaoNoxK+yzFQn8D2g8DjeyNISRD5DmolB3HKcOumMr5z5yDe/GsuVs46hMnlYfqq88O7N5zxSrFg3vK7yyXv3XufOYb5s372gwo/q+MXFuAAQMiI+fJdT++9F2/9vcuGDh45vr1Wu7N+3kALzbbE0wc8VH3lllUtMQzUBAZqHYRerLUU+UBDry9h5ndizVhm4KYZZdUNkbzaYXj4k09R3P5gCQgceExVOrKJH3uUjhrdjKYpkmj7NuMjosbEUs6QcoaEO2h3XFxwSgdL5nWw71iqTghhPAKRJY8C1pCxUIMPlACcSghu+HhOaRQ9Uomq1K+tlUgca0iMTXCMVRj6qg6a7QDzh9twWRcPPTmAs9f3i8VLFl/T7Pb9wb0P7WqsWX3qCw2PH+n4hQa4ffTNOA2ugxbC9NNnbuh3ve59J2zfF76q29yLoUqK0A9RCilq5S5KUQsdLhH5HiJPi7S0doVS0wRSl3VXDy94rtTmQ7mIyzjCZsa2ajEeKOUgSDE6SSGZC0odeEQPYdAihcijdy4Dk8ZWTZhtBjp6a92H4AxcOEBKMVBOQZFCSgEONXtpzPDtAQlpTD7NiLKpbbsyi/Jcyx+6iargdLoOWu0IAYsx3hWYaAm02hLtDsPBYy4gfbzs/IVox7OvXb9hzeaRGUOfAroNQp5/FeDP6vilAXjJJwDQBPD3d2/aB9d77fxl0ZN4S33zq+5/8HFE7iRcp4R6OQFYE7c9XMNIhaIaCpQjZRXHmJITmS1nVKsUA+3PwqguqWlhkXFZlXa7nyiK0okF/vP2MjhcMMqmgNuxpocYzSd2ZCExzEtzqVC7Q00UTzkDpIPXXdjGjfcmmJTKDBPIGzUUecVHSiDVxpipNvtkVDWEIGV2gsWJcZUFAs/DsbEKLlx3DDfc3cZYs4x2nGLbUwKC1TA063S86NTF1y5dvvDt4K29hPzspt1/XscvDcDtY8O6eZDJ8b04YeVfHXiKXrVg4Yq3Pbhl67ndY3tA2SFc/f0Q+5+pYF6fRL1C0Vd1MFBz4HsJdu/nSLnaI+RQwPcFKlGKUpgCEmh2HHQ5geR69YfINdGA6fwJcCawY78HCQcOIfDtdj6zOX0+vW9EjxlVEDlFUTeqNgRzCs4ZhHCwZFYHjkwBcAg4mYaG6hOUaR8XAqCbAK1Yob0UqCQ55Ip2Rb5qUu3YLxG66ncx5sJzypg/mOKy85q47R4HlcogzjxjAWbMXLOxlZY+5VcWPbprX7p38fxZL/TH/hMdv5QABwDi9gPADinljplzsfnRvcnMC09b9e87dj+85M4HHmfLR4BKqBLPvoqD+TM5Fs05gMd2VkARoV6WcByCUsDRX+1gqH8CnAts2TmCVseB6wg9IC3hONqrHIqzuozjzi0OjjVcEMfRunUrejOS3dTMp0VTTPTmBCnHVHALilR7ACbcQV8FOHVVB7c/KrShvi7z6STWsWrtkghsO5wg4Q5mVQDXEahEDIQAlZIAcyZx7xMJFg+VQIkH12GQwsN4sw8vOaWFRQtP4UsXrt2xdsn4Hw7O3nAAwPZn2xb3y3L80gLcHPoD2C7T49s5T1881mazP/ruc67Z9NCd1Ue2PF3ynA5KETBzsI1bHpbYeYBi0YjKPl0mUY0SzBwcxb07Ytx8dx9Gyg7mDlOUI90JlBLM0UIjqaI3dTnu3eJi9LgPErLMPo4xFB1mnRzoxpdPAhBcCaaSVIFU7YSUuqpCM9PLlDP09xNsWN3B9x4SZu8rGFHlwsAFfFeVPqOAYfkCFy8+axLfvn8SD22roRww9FfVDzEKLJ7dwQWntHD3pggD1RTlUKK/HiJmi5tL1p45MTvuXOYEi/ZPSrZ36Jcc2Ob4pQe4OYjTDynF3tNOHnpKpM1VXMozlq/i/+fIoafKB5/ZU3edLZhoeXCYWnlIoDjqQK2NR/Yk+Ow3+uCmFQwuo9qNCWh1KBKuElEeKv7rOQIHjwp8b1MJCfNACIWjKYND8hKhqrEriwTXUdJevRZTyXpTIM4SXaW7TjnRYiqdgAoKyh2cu66Dz323hWONCJIoSuK7BKVA1fLjVGrOzbB4Rhlvf/Uh/NPXGzh4oI65Q+p7jRbQ6XoIowSSUqxYMthYsWLp8ZUnLHaEIJc7pSX3zF0QjacphOv+aoAb+AVq1f8sDkIoCCHi8d3jo7X+kZvue3jzggsvuvgvXnPZb25ZdsK6h5cvGN60bll/Z9nCCEfHEwAcnLTxgy0umo0S5g8zDNQpZg7EAG3hyf0SxycY2l21VoUQwPdi3P6Qi03baxDUy7qEFDk9cRlRC049isBn8D2at+olkHCJdizR7gKdWGlTkjSnKVKajckESerhxKUSF580AZmmEMoPCIFHUK84WDyXgtMUB4+nODbGsfdAiGpQxYaVXQh0kXKC/mqMIxMeDo+PdKJg9qZzzzxpy6tf84Z/fOAH/7W4VKosmzNv5KaR2rFRQsivFLiBX6EIbh+rl80GADHZSkAI/bxIkys5ZZg3ZwNbsbT+WYdNLBuLnzq7r36Q7Tzo4oGtEWZWJObPoBjplxioN3DnPR1s2ekg8jwM1hS58NwUR8dTfP6mfrRJDb5LwHkHsfABYhnja04cBAzVEoXvSUy2JLqxWnPejSUmWxyep4RNvkuQcIokpeBccX3GUjhOF53YAyUefueSLm59qIVOqgxyXIegWnawdmkH0h/HjXfUUB9L4T7tol4KseGELrbuFvD9MtatGeBjycI7B+qV7YOt8bfcs6XJfT/E//rDj8v64LzWC/15PZ/HryTAzVGOXPOlKfKlBw6N/QF1vL7LFxz/4ME93/W+91CHL5g5cPKqef4plfAQ4qSFYxNN3HJfgNkVjnZXNX3KYYL+aoyrv+9h36EqVgw5WDInRVQ+jpsfqiMRoZrfNNUTpnYQDfVx9FXauGszQavlY9UigmbcxeP7BOqRA8+hKEc0m4FMUgZGgW4a48aNHsrOEJbOppgzeBgXndrEf91Ww0RJ7S8KfFXgvvikNm6910OcSDRiF5N8ERb2NR7csHb0oVgsYmvXXxwPDg38jUi6o8zrAwC8/69e6E/n53P8SgN8umPmSB0ARgH8MQDcetv3cdIqnFsO+CX7jx+/zEO8fKh2BEtmP41uJ0GccFTCFtrxceza7+DIWAkVl2HFTIqXb/AwZxbF3Vs7QBqiGlGUI7XhgAu1zmOgmmBkcBRjbQ+tSQ/9FQEnaWD/mAvJKQbrQg8/CzSaFJQ4mDVIMNnl+NwNs7Gor4ZXnC2xJpzEUBWYN5QiRQsHj/tYs4QhDAUmmnNw8XkrsWx2FYOD7Akih68J+vybX3SO3Lj2pLPwzre/0O/6C3f8Xwfw3uNFF50HABsffXJs47IR3DFUjRfH7cNixbxrRcxqCy88ZeY7+6Pt2HFwFhrHWzh87Cn4pIuhmodqiaDZVoAOiERfhWLd8hR3bZVodphKBj0J30vU4LFUbXshOboJQzdR6r9ylAKkhXseD3HyEoLFswHmSgQeMDqRYPd+YM4wUHNivPrMCmbOmYVtu1ysXLMIg0M7P7xjd7z7NS89j44MDdC+utgJ4KYXagbyF+34vx7g5li7tA4AN5nHY2PHwJhfbzWeufvQMzEmn3GSE0/q/7MFy1sXn3wKMKufYc+eH2DBcAP1ig8RuxjsD7Bi0VHc/FgK1qWohALdboKxBkWaCAieqo2+qYTHBIRI9RJciUSOY9szPtYsjBCGDF1ZQRgEOHeVhw2nnoc5s1O8aIBjslW9ZXjw2CfckLnzFq7BogUv3jhzSXdsxsgLN/f4i3z8P4A/y1GvDwDAGIBvAcDY6EEQgm0TrWRkWReCkRQPbHkIC6mPKPDQ5gxxSpMTVp343tOeEi9H20lOWddGO+ag1MHJayW6nTKGZwEl3sJLznfgEYFuDMyay+D4HfesMwa/TbHtvZ5H3U7XR+C6WLnEwYoVK1EquagMSNpJ/EMAdv/J7/6/CP2jHL9aNaEX+Jg8eh0YIyNf/m6zJjpUXnBSE6OTKYQoYc9BgTiOsGAG0BId7DvIQGWKsYbEWatdeGFMHn16zjgl8tDv/vpFL/RL+ZU5/n/K3zfajyuvNgAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxOToyODozMCswMDowMJxOMNEAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTk6Mjg6MzArMDA6MDDtE4htAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 60203245
{'hecke_orbit_code': 63050394883851254, 'n': 1, 'trace_an': 3}
-
id: 60203246
{'hecke_orbit_code': 63050394883851254, 'n': 2, 'trace_an': -12}
-
id: 60203247
{'hecke_orbit_code': 63050394883851254, 'n': 3, 'trace_an': -27}
-
id: 60203248
{'hecke_orbit_code': 63050394883851254, 'n': 4, 'trace_an': 48}
-
id: 60203249
{'hecke_orbit_code': 63050394883851254, 'n': 5, 'trace_an': 40}
-
id: 60203250
{'hecke_orbit_code': 63050394883851254, 'n': 6, 'trace_an': 108}
-
id: 60203251
{'hecke_orbit_code': 63050394883851254, 'n': 7, 'trace_an': 170}
-
id: 60203252
{'hecke_orbit_code': 63050394883851254, 'n': 8, 'trace_an': -192}
-
id: 60203253
{'hecke_orbit_code': 63050394883851254, 'n': 9, 'trace_an': 243}
-
id: 60203254
{'hecke_orbit_code': 63050394883851254, 'n': 10, 'trace_an': -160}
-
id: 60203255
{'hecke_orbit_code': 63050394883851254, 'n': 11, 'trace_an': 162}
-
id: 60203256
{'hecke_orbit_code': 63050394883851254, 'n': 12, 'trace_an': -432}
-
id: 60203257
{'hecke_orbit_code': 63050394883851254, 'n': 13, 'trace_an': 0}
-
id: 60203258
{'hecke_orbit_code': 63050394883851254, 'n': 14, 'trace_an': -680}
-
id: 60203259
{'hecke_orbit_code': 63050394883851254, 'n': 15, 'trace_an': -360}
-
id: 60203260
{'hecke_orbit_code': 63050394883851254, 'n': 16, 'trace_an': 768}
-
id: 60203261
{'hecke_orbit_code': 63050394883851254, 'n': 17, 'trace_an': 418}
-
id: 60203262
{'hecke_orbit_code': 63050394883851254, 'n': 18, 'trace_an': -972}
-
id: 60203263
{'hecke_orbit_code': 63050394883851254, 'n': 19, 'trace_an': 66}
-
id: 60203264
{'hecke_orbit_code': 63050394883851254, 'n': 20, 'trace_an': 640}
-
id: 60203265
{'hecke_orbit_code': 63050394883851254, 'n': 21, 'trace_an': -1530}
-
id: 60203266
{'hecke_orbit_code': 63050394883851254, 'n': 22, 'trace_an': -648}
-
id: 60203267
{'hecke_orbit_code': 63050394883851254, 'n': 23, 'trace_an': 208}
-
id: 60203268
{'hecke_orbit_code': 63050394883851254, 'n': 24, 'trace_an': 1728}
-
id: 60203269
{'hecke_orbit_code': 63050394883851254, 'n': 25, 'trace_an': -359}
-
id: 60203270
{'hecke_orbit_code': 63050394883851254, 'n': 26, 'trace_an': 0}
-
id: 60203271
{'hecke_orbit_code': 63050394883851254, 'n': 27, 'trace_an': -2187}
-
id: 60203272
{'hecke_orbit_code': 63050394883851254, 'n': 28, 'trace_an': 2720}
-
id: 60203273
{'hecke_orbit_code': 63050394883851254, 'n': 29, 'trace_an': 9394}
-
id: 60203274
{'hecke_orbit_code': 63050394883851254, 'n': 30, 'trace_an': 1440}
-
id: 60203275
{'hecke_orbit_code': 63050394883851254, 'n': 31, 'trace_an': -7418}
-
id: 60203276
{'hecke_orbit_code': 63050394883851254, 'n': 32, 'trace_an': -3072}
-
id: 60203277
{'hecke_orbit_code': 63050394883851254, 'n': 33, 'trace_an': -1458}
-
id: 60203278
{'hecke_orbit_code': 63050394883851254, 'n': 34, 'trace_an': -1672}
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