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{'Nk2': 18816, 'analytic_conductor': 37.561629110810294, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [7, 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': [4704, 1, [1471, 1765, 3137, 4609], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 2624, 'field_disc_factorization': [[2, 6], [41, 1]], 'field_poly': [1, 2, -3, -2, 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, [28, -24, -8, 4, 1]], [11, [16, 48, -20, -4, 1]], [13, [68, -80, -4, 8, 1]], [19, [64, -64, -8, 8, 1]], [31, [-64, 128, -40, -8, 1]]], 'hecke_orbit': 49, 'hecke_orbit_code': 216172782147342944, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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': '4704.2.a.bw', 'level': 4704, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '4704.2.a.bw', 'nf_label': '4.4.2624.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+(-1+\\beta _{3})q^{5}+q^{9}+(1-\\beta _{2}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4704.2.a', 'trace_display': [0, -4, -4, 0], 'trace_hash': 1357589129978779480, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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'hecke_orbit': 49, 'hecke_orbit_code': 216172782147342944, 'label': '4704.2.a.bw.1.2', 'level': 4704, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1]], 12, 9], [[[2, -1], [3, 1], [7, -1]], 9, 8], [[[2, -1], [3, -1], [7, 1]], 9, 5], [[[2, 1], [3, -1], [7, -1]], 9, 7], [[[2, 1], [3, -1], [7, 1]], 11, 5], [[[2, -1], [3, 1], [7, 1]], 11, 5], [[[2, 1], [3, 1], [7, -1]], 12, 8], [[[2, 1], [3, 1], [7, 1]], 9, 5]], 'ALdims': [9, 12, 11, 9, 11, 9, 9, 12], 'Nk2': 18816, 'analytic_conductor': 37.561629110810294, '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': [4704, 1, [1471, 1765, 3137, 4609], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 833, 'dim': 82, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 19, 31], 'hecke_orbit_code': 33559136, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '4704.2.a', 'level': 4704, 'level_is_prime': 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mf_twists_cc • Show schema
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id: 49025884
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147342944, 'source_is_minimal': True, 'source_label': '4704.2.a.bw.1.2', 'source_level': 4704, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 216172782147342944, 'target_is_minimal': True, 'target_label': '4704.2.a.bw.1.2', 'target_level': 4704, 'twist_class_label': '4704.2.a.bw.1.2', 'twist_class_level': 4704, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49025885
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147342944, 'source_is_minimal': True, 'source_label': '4704.2.a.bw.1.2', 'source_level': 4704, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 225179981402083936, 'target_is_minimal': True, 'target_label': '4704.2.a.by.1.2', 'target_level': 4704, 'twist_class_label': '4704.2.a.bw.1.2', 'twist_class_level': 4704, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49025886
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147342944, 'source_is_minimal': True, 'source_label': '4704.2.a.bw.1.2', 'source_level': 4704, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 229683581029454432, 'target_is_minimal': True, 'target_label': '4704.2.a.bz.1.3', 'target_level': 4704, 'twist_class_label': '4704.2.a.bw.1.2', 'twist_class_level': 4704, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 49025887
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147342944, 'source_is_minimal': True, 'source_label': '4704.2.a.bw.1.2', 'source_level': 4704, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 517913957181170880, 'target_is_minimal': False, 'target_label': '9408.2.a.el.1.3', 'target_level': 9408, 'twist_class_label': '4704.2.a.bw.1.2', 'twist_class_level': 4704, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49025888
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147342944, 'source_is_minimal': True, 'source_label': '4704.2.a.bw.1.2', 'source_level': 4704, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 526921156435911872, 'target_is_minimal': False, 'target_label': '9408.2.a.en.1.3', 'target_level': 9408, 'twist_class_label': '4704.2.a.bw.1.2', 'twist_class_level': 4704, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49025889
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147342944, 'source_is_minimal': True, 'source_label': '4704.2.a.bw.1.2', 'source_level': 4704, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 220676381774713440, 'target_is_minimal': True, 'target_label': '4704.2.a.bx.1.3', 'target_level': 4704, 'twist_class_label': '4704.2.a.bw.1.2', 'twist_class_level': 4704, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 49025890
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147342944, 'source_is_minimal': True, 'source_label': '4704.2.a.bw.1.2', 'source_level': 4704, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 513410357553800384, 'target_is_minimal': False, 'target_label': '9408.2.a.ek.1.2', 'target_level': 9408, 'twist_class_label': '4704.2.a.bw.1.2', 'twist_class_level': 4704, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 49025891
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147342944, 'source_is_minimal': True, 'source_label': '4704.2.a.bw.1.2', 'source_level': 4704, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 522417556808541376, 'target_is_minimal': False, 'target_label': '9408.2.a.em.1.2', 'target_level': 9408, 'twist_class_label': '4704.2.a.bw.1.2', 'twist_class_level': 4704, 'twisting_char_label': '56.27', 'twisting_conrey_index': 27, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3681800
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 216172782147342944, 'p': 2}
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id: 3681801
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 216172782147342944, 'p': 3}
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id: 3681802
{'charpoly_factorization': [[[28, -24, -8, 4, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 5}
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id: 3681803
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 216172782147342944, 'p': 7}
-
id: 3681804
{'charpoly_factorization': [[[16, 48, -20, -4, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 11}
-
id: 3681805
{'charpoly_factorization': [[[68, -80, -4, 8, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 13}
-
id: 3681806
{'charpoly_factorization': [[[-100, -120, -24, 4, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 17}
-
id: 3681807
{'charpoly_factorization': [[[64, -64, -8, 8, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 19}
-
id: 3681808
{'charpoly_factorization': [[[-112, 48, 28, -12, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 23}
-
id: 3681809
{'charpoly_factorization': [[[64, 128, -56, 0, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 29}
-
id: 3681810
{'charpoly_factorization': [[[-64, 128, -40, -8, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 31}
-
id: 3681811
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 216172782147342944, 'p': 37}
-
id: 3681812
{'charpoly_factorization': [[[-4804, -920, 56, 20, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 41}
-
id: 3681813
{'charpoly_factorization': [[[-256, -384, -48, 8, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 43}
-
id: 3681814
{'charpoly_factorization': [[[-3008, 1024, -24, -16, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 47}
-
id: 3681815
{'charpoly_factorization': [[[272, -128, -72, 0, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 53}
-
id: 3681816
{'charpoly_factorization': [[[-1600, -960, -152, 0, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 59}
-
id: 3681817
{'charpoly_factorization': [[[-412, -160, 44, 16, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 61}
-
id: 3681818
{'charpoly_factorization': [[[-4352, -1664, -144, 8, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 67}
-
id: 3681819
{'charpoly_factorization': [[[272, 176, -36, -12, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 71}
-
id: 3681820
{'charpoly_factorization': [[[452, -144, -36, 8, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 73}
-
id: 3681821
{'charpoly_factorization': [[[-1024, 1024, -32, -16, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 79}
-
id: 3681822
{'charpoly_factorization': [[[1792, -256, -128, 0, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 83}
-
id: 3681823
{'charpoly_factorization': [[[-4772, -712, 168, 28, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 89}
-
id: 3681824
{'charpoly_factorization': [[[-1148, 1968, 508, 40, 1], 1]], 'hecke_orbit_code': 216172782147342944, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 49, 'label': '4704.2.a.bw', 'level': 4704, 'portrait': 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WeXBJ2+5pKtEVgIDRw/X6M3tLTrgoYvkMQEQUK7kdAd+By/AGPjY6zl8q0hvUHCmUXNTMvj4q0xOzf1aTbGCGkJQ0FnUGeh4zPTEHjS48wFn0OnBcfOxZxYignqA151Q5833ASBnObA8TYnzivOZsy9YDm0aHnBVQv8/DtW2DozzfEzs5xdqrOw4rG4IlnuxCx3Y1a6MeeWYzqmxcYNU+Znf3j2Iy+8NvjxC0tJ99Ir//m3GxLf1OPvNMCXVzosdwU1377z+Ol9L1o4+Tvy9gcHL/q5f3JCL61uY2F1hsWVBksdn6WOZqkDy52E5U7E0mrCuVU4vCTYML/Kf/iBJW7c2+Dk+VnOXGhyZlFzfslybjHm1ELChV7M9OyIF1/T54WXgy/rBCrg/HKNs4uac8uCwRji2FDzDc1awsxUjAGOn4vp9mHXJo9mfYy1AoRPf2jYuXnM0qoG66TIah/GMVgsy52QbRs9ekOFUBZhxrRrHju3jFgdCI6f0SRGM9eWtGqCwIM4FgzGknPLkrNLlvMrMUEwAi/m5iv7vOgqwYZ2naWVNifPB5xZhPOLMeeXY04vw+ElywuuXOSXf2CFzdNtTpyb5dxSnYUVn8WOZHk1YaUbsdJNWO5ZLnQFxzrQX13gPf8ujB96Zvbu//NH/pnZfdFVdwuV/Gw4Dghq7W83VJ718Xc2yPyjD32M2Zkpzp5f+JU/+dgd//rDn38wWFzx0brPm24JuO7iPmHsE8eSxAgSA8ZorFU4YwWESBDCcmRphv/wJ4Jf+eHzXL87pFWfpVlv0W4EtBoe023F+SXFuRXNl++p8dm7Yi7dMeDyi2OWV4ZcsWPM219riGKFwPJX99a40KlRT8YcO6vo91tce0nChW7M/gMee3dIDp6Bmy+DTg9Cowl0yHwTnjldp1GPCFTMVEuw2oObruhx+FTA3l2Go2fGPHXY/fe8HSMOn7dMtcYsd0M+/eUGViiSJOHW6wbccr3l3KrH9XtG7NnqEUdtBsM6+4/UOLcoWFhJuLASc37ZcGJZcL4fct3eJX7hn/bZ0J7h+Nlpzi/VWVh1K+BKJ6HTi+j0EzoDy+oAFoaS4WDMTVcPed7uRX3L5aOXJYt/wqnkFbfMbf0O02y3//0Dd3+SG1/0j77dkFn38XeSwT/xiU9wy/N3q7/60pO/cPjYuX9//2PH1MnFkAtDj6VRxPMuusB//YlFrt9T59zyDEurTZY7NZY7HstdzUoPVjoJK92Y5V7MYgdOrgh0fcQtVy3zvS8L2b2xyWq/zYXlOgvLPosdwXLHsNQxrPQM3aGhO7YMRjFz7YidmwwgCDzLqQseQgbs2qjYvdWydeOA8ytjHjvY4vmXWhr1FZ48NEurGRKGHnMzhuEIrtg54kNfneayHTHjsWV+ShIlQ1q1gKeOjah7Ta7bG/P4kZDzSz7b5gJ2b4Gdm0OUiji1CL5nEcKya1PMTEvSGwb0Bx7dgcdyV7G8Cksdw3InYbGTcK4DS6OEndv6fO+ti9xyuabmtTm72GZxpcbiqma5K1jpGFZ7ESu9hNWeZakP5/qKc6sxN112jnf974tctr1Op99mabXOan8a/EsTXdv8K6eXL/3lueap5LWvf9O3GzprHn+nAH7w4AGCWq1+/uzpnfv2Pf22w0dP/6cnD5ygNxR0hrA6kFwYSs72Il5w8Xn+y08sc+3FdS6sTLO02mSlW2O567HS1ax0odMzrPZiVnoxy13L+Y7gTN+C6POWl3R4/Y2Gi7fUCMMGK50aq32fTk+x0hf0BoLR2BLGliQBJS2BB/XAMt22bJyN0N6Iw2dDnjgUYOImr70pRHurPLR/iou2wOfuj3nJ1QEXOkNqWhEnEbMzEEce2otZWmrw4uu7fO6eFru3wIMHx3g0eM2NhlgMeeJwwtFTNbT02TSjmWkK6oHA9wVKQGwgjCyjEHoDy2rf0BsYVgeGpb5lmCTs2j7g9S/s8JYXhWBaLK1OcWG5zlJGBh1Y7SV0+jGrvYTVvmW5D2d7ioVuwgv2nuddP3GBK3fVWVydYrXXoNOrsdLzWVoRSH8bfmPzz+3ec+mf79q548RwNBpetveybzeU8sffGYAfeOYg8/Mb/MOHD/7QsaOH3r1/35Nicbkvu/2Y7sC4YyhYHYoc5DdecoFf+9Elrr+kxuJqBvKA1Z7PSk+z2hN0epZOP2G1F9PpG1b6lgs9wdmOYWZ6wHe8oMfNl8fs2qRo1z26vRqBJwFFGEuMERgLgxEgDDOtEQdPW4wNue3BJuNBnUu2+dxyzYDIrHLHw9Ncd6nHwXN9OittXnjNgC8/FLBp1rL/uOX/eHOX/ccCNs1KvvSw4pYrFMuDLkdOznLd3pA7nhgSjxvcfKXPnh0jhnGfLz6kIBEcPqVpNzRawGAoMVaQGEsUA9KgfUOnb2m2InZsGfOiKwZ8x/Nj5po1zi9PsbRaZ6Xrzs1KV9DpQ6cX0+nHuSxZHkjO9QSLvZibLlvgV350gWt311hIwd3tB3T7Pp2+ZrWnWO5CZAJz7TXX2L17L/3JSy7d+8GFhQvhRRdd8u2GFPB3BOBRHMtwPHzj3Xd+7pLl1fhd9z/wgKeVJEpgMEzoD2P6Q0NvZFM2dyA/04m5+YoLvPNHF3j+Hp/V7hQLKy06/RqrPZ/VvqbTU3QG0OtbuoOYbj+hPzR0BpaFvmChD1Ey5tpLh2yeTegPLK974ZiLNhviRKKlJYzg9sdqnLhQY8tMzJOHa2AaXL5dcf1lhqA24KGDAxYWm1x1UZP29Ar3PO5xw6U1lgarrKy02bzZcv9+xT99RZ8H9mu2b/RY7HdYWZ7l+isG3PNkwmx9mqsu6XOh0+H+fdPUdZMXXGbZu3MEss9jRwUbZyPOL0Tc8ZjHKFJICYmxXLQl5DteGNLrK7bOGK6/FMKwwXKnwXInYLXv0R0oOn1Jtw/dQUK3n9AbJHQHhtWBZXkoOd0VdIZjbtm7wC//yAovuNTdHJ1ene4goJfKoe5A0RtI+kMYjhMEluddf0M0jsS/ffN3veFQo1n/tOd55tuNrW97kBmOByTR4AdOHHnoNxbOHpw9dWaFmbYmTgQispjEYkwWOBoEToNKaZFS88Azm/jZ92nefMsy3/eKZXZvCzm31Cbw69QDn0bg0axrenVJa+gx1dQMRgn9YcKmsWE4tvRGAcsLNU6dtISx4fS5mCCwgMBXFi0Fg6FC4BEPNM+7SLBnq2XntgHjpMfnH1A8fWiGVz8/4PorVvjDz1t80eCibQMev0exbVox3x5QU3XCyONCD5o1zfZNgkefDrl+b52XXbfIH3xmiO+1eNVNFi8Y8JX7Qz53X5N9R+tcvLXBRVsSNsyE7J6PuPqiBKUMWlnA0ggCNkwHhJFHb+Dz5EGP/kgzGCr6IwfE/sjSH7i/vTdM6A8t3aFldQgLA8X5FUtjqsNPvXaBf3TLmGsvbnJ2sU2nX6OXgrs3VPSGksFIMAxhHFniBKLYcsfX7/fqjZnfmJ3dtPzSF9/4r7vdwR+0243/dQEehgME/MjZE/e88+j+r87Goz5TLZ/RWDKOQAoBVpGaIgiBA7cwKGlRMsGXkscPbuCRZ5ocPHOBN7+oz4uuHDHdarPcadDs1mgPffoDTS+92MORZjDWjMaWUWgII0sUWeLEHWHsYw1IJfC0oOYLpluCmRZsnjds3zRgfqbDFx6COx/xkGaKVz/f43mX97hrX0Q4anPL8wSd4ZALS01u3muYnx5Q1wGjWLHQjVBG8Ly9mkZrzMMHarz0+ileeG2Phw8osFM8/0qfH37DMl9+NORLDzTZf6LGzg2KzbN1ZloNplpQD8DTFiXBWNh/VJAkgigWhDGMI9zfOE4Yjg2jsWEwMgzGhv4QumNY6Esu9GBsRrzyumXe+KIO/+RVhjhuc26xSbdfozf06Q89+kNFb6gYjIQDeHr+xmFCGBmGo4RT585w4uznZ7uD+P958xtepnu9wftarW8fyL9tAI9GSwiSH14++9V3Lp748kYthky1A/QwQUlQSiCFRAiBEAohBFKSghuUsmhl8ZSh7gkWB3U+/NXtfOWRLi+5epV3vHKVq3f3mZtusLTaoDcMGAy9FNjKHaFgHEmiWBDHbqnPLEYlLVpDzYdG3TDbiti2cUBMn4OnIz5yR40jJ5tMB3VuuFJz8zVd7n+mw233trnp0ho7twz40FcFSgS0WxGr/THGghKwoT2g2/MxcZ03vuQCH/5cgz3na7z+pgFhtMQdT8wRJTVuvHIjr7+hy6U7Onzl4QGPn2zw2FGf7bOS2bagEQh8z92EMr35jQVjLFGc3qyRZRw5II5CGIbQGwlWxoLlHgg94rrLVnnHd6zykisT5tp1VroNOr06vUFAf+TRHxYrwWAsGY5gkN4447FhFCaMQhfshrHkwrkO7/+zL2/sjsQ7v+dNL7Znzq++f+um6f81AP6O//tPecUNIb/8e5/7wbfccu5d2xqPz3tyTKvRQIgYAQgJSkp30aRECgd2JTVSJigl0uXZ4ClLoC11LVgZKZY6M3z09ib3PdnnlmtXecerVrluT4e5pE4cBwxGNfpDj+FYE0aKKJbEifPSjRUILFJYAt/QqMUEfojvjTm9NOYzD0oOnfI5emoGZQL2bPG5Yrfi+Zd3UcECTxxusW26wVUXw+YNKyx321y9TRIbyxceCBgPJNPNmNfcOOLTd0ScONfisks8zq6OeOqIx45NM1y7e4G7Hu9xz1OCcehz+e5ZLt8RcPn2HofPLnPoNDzwdIODR5o0tCDQkmZgqXkgpQuqrHU3a5xAGEOYCPpjQXck6EYQmhhjR7zg0i7v+I4uL7k6YctswGg0xVKnRq8f0B/5DIaa/kgxGCmGY8FwJBmOXd/oaJykwDaMxpZxaBiEluEYRrHi9JkOv/5HX93YGRx614++wcZPP/l7f3jRXEht67/4hwvwY/t/l4uumGHmPyz9k8cOPPNbV87fNX35zYZhYw4hQkDk+lpJF0ApBUoKpBIopVBKoJVBqwRPC3xt8D1L4FkafsJ0TdAbe6x0Z/jYnW2++tiITTMD3nZrh8t3jBgN+1y127Jjs2IceSSJIjESm4FbGjydcPy85eg5werQ8Km7GpxenMGGHjM1xdY5za7Nmou3wVV7uhi5yHs+3WR5eYqbLtdctafDVx4TiNhj44yk2YgZRD7SSrASpX06I8H5ZcGVtsGtz+9x98N1ts773HTVLP/sDYt88HM9HjjQpD/yWFptsXtrncu2DLhxb4/vfmmPM8vLfOqugKVBwPGzHqdP+3hKIKVEIDDWkhiIjCWJDTNzEddcOWA8jrh8x5i33jpm45RithUQRTXOLtQYDH0GY7fKDXNgSwfusWA0JgV0kksTx9zuGIYwGAt6Y0E39rhwdIH7731q/vtfuvW3ZoKro2DLX/3pz/3XP+Y//V/f/w8P4Lb/O9C4UYQX7viez379xHufePJQw9cjfE9QC0YYI1yKG4uQICtAlygp0UqgVfqsBZ5O8LXA9ww1z1KPLI3QMlVLmKkLBqGkFzY5eqrJr/3pLJgYEcc8/5oBuzeHxDEYa7DWJXGkcDeS9nwOnPDZf6hGs6Zp+ZL5hmDDnGTjrGbrBsWuLQmX7VolEUv894+3OX5impv2elx+UcIw7nHvEwHTdY+5Kct0K6RRd1LIGElnpFjuW5Y6CZ1+nRdftcqD+wc8fUIx3a5x45XT/Ogbl/jtT8DDh5r0h5bVnub8cpvN8w02zozYNTfi33zPgHajw+NH4cBJiedZlLIIYQDr/mchjuGizQm3XB2TRB5RHGBtg1HocW7RZzh2K9ooVLl8G4aC0VgwCh1rj0PLKHSSZBwaRpFJ37O5PBlEgkEo6ESCTmzBxkTxmIf2PTF9577p955Y+cH4v/7iP7njP/7rd1wYRiQN/2/fxPufAvD//O7f58U/tUX9wvfd8Zartx/+w0s3PFz7wddIdmxKQEKjNsIa98cWDK5RyrpgUqlUb0s87TSn7ynGnmQcGoIwYRxZ6pFhHBnC0NKOYRwZxjGEsWAUScZJQJTUePpQk8eehsRaHLSdNvYk+MrVfLQCuGoLtOsw1ZTMtBRz05qNs7Bz85gtG1aJ7DL//eNTHD4yxfUXKy7eLtmzfYWvPRVzfmmK5++WzLQNNX9IIAOsEsSJRFhLnISs9GucX/K4/vI6z9vb466Ha2yaETRqLa7fa/iptyzxW58wPHW6xWrfsNpTLKxo5qebzLTrzLSnaDciNjQjdl0fEngxno5RKkEKF0xY3E0VRYoLC5ooVkSxIowU4yh9DiXjSDIOJaNQMg6FC1BDwTh08mMcpcFkmGr6yL0/CmEUCYYRDtyhYDkSjMMQ7JjTC4I//5rPvQ8fbFxyWeOPLpx9pruhufX548Hw5P8M7P2tA/znf/3DKNtQN+9ZfOv7Prn4B2HncK03muX+pzUvu27Er/zvHa7cPnDaW4CQKcBV5pRYPGXxtMLTFi+U+J5wF8ETjH1FGDmgR5EljBPnisSlI4E4sSSJITE4vW3IwS0EKAlagudBoAW1QNAIJM2GYqohmZkSbJyN2bV5QKu5ysfvDrnjiVlWF9tcs1Oxa4vHpTtGJGKVLzzQoOlpNswoWo0RTxyGfUc0V++wDMaKay+NuGaP5dzZhIUVn+GowWtv6PH1x4ccPK1o1iWB3+bqiw2//INL3P7UkE/fPs9S17JrY8JKRzPdVkw1PVoNj2bdUgsMgW8IdIJWTmpJ6a6BtbiElRHERhIngjgWRLEkjAVRJBlHznkJI0EYWcIQxpFzR8IScYyj7EhdmgzckaATSlYjGI1DZNTneRd1+Lkf6XDr80Lu2x9zYfXLAavnOHf48hdLte0vzhz8YLL10h/6+w1wLYxc7ax83zOHzv3ulx9Yqo3CXVgbg4z5zD0hcaR56yu6vO0VfabaCWqQoKRBK98FkTrB1xov0gRaMfIc04w9SegLwki4ixMpohjCSDoHIS5svzgxJIlzFxKbOiV5QZZzZ5R0ssfXgsCX1AJJsy5oNyzTLcOm2TEbZnrEdpWPfl3ywc/NsbFW45qdgp1bPC7aati1ZYWP32tZXq5x+WbFTBtajYjzxyQXVgL83TCOBBumJNPTcPCoZaVrOLdY49KLarzi+T0+c2eNuRYEvo+S01y9R/Bjr7+AJy/wV3fNsO90jU3diI3TMVNNRauuaNQl9UAT+BB4oLVzmKQAKUogx93YiYEkEcQJKdAhSixhDFGUOFKIDGH2HJnUdsxcGQfuYSwYRYJ+JOjEgl5oicZjpoIub3vtEm97RY/XPN8QxTVuvUZirGalcywY9abfK/yaFsL/MxzP/P0E+Pv+6BPEifnBr929778cOniyvXla040Eg8QnTAxJHPGFBzzufarG2eVl/o/vHjLTjqkFMd1+Da18PO25I0wIPY0fOmkSRi6V7hhHOCZKWSmOIUogSZyTYIxNqw1t1sOZgtsB3AWuAk87gNQCaNQMrXrMdCtmw/SQ+ZlV7n465I9vq3Pg6DQXTXns2QzbN/ts3wSX7ewyiLvcv79NXXlsmFFMt2C6NWZmKsb3NUK4m2s49lnuRqwOLJ1+zIUVn52bW7zw8gvc9sCAA6fbNIIIT/kIMcWebYrvf9UiL7jsAn98W4v7n5xmqa/Z2I6ZbsQ0apJ6TRF4gsCTeJ6LVZQitQ8dyi2uh9UYcqDHiUlXt9RajA1x4sAdRxDGtjgi58qMUmAPIkEvFvRiGA1jTDxkrtHln//jZf7N2wc065pOr0EU+0SxRxh5jEKf0ehEW/j+f6/PXOc//fgnP3j5tX97lYh/awBfXumgpPyR3/vgX77z1MlTc1N1QZAYfCloJIJBLBnIgLHSrI59/stHfPYfXuGNL+1z63U9Ns2H9Lp1huMA34sJfI9xqAl8Z+9lAI8iSRi7ZTeKU087IbX+SJlbYiwFuF2SMmVu0MolTHzPUvMN9VpMqxYz0x6zZb7L+c6Ad3/K4wsPzrK80uSSDYKdGwXbNvps3yjYvXWE9lf58B2aIyeb7N0kmWlJppoJUo45vWAJtLM9rRWEkWbXxi4PkNAdKFa6lvPLdfZur/Hdt3b4i6/4HDsf4OkIITyMbRLFkufvXmHX27t84eEBH/rCLA8da7JtRjDfTGjWEmq+IPAEvudiFa1cskxKkddkWNxNZizOaUkc4DOQx4mTdA7sECau1iXMkkexYBhDL5b0IxhEhmQwZvt8l5ddv8qbXjrgdTckeKLBykqQA9s9a8aRx2ikGHfOzW2s9d51+XVvUeNR531B7W9n4tbfCsBXVjr4nvfPPv+lO9752ONPbfS1RQiBji1agh9DIC01KegnioGs04k8Pvy1Grc/3uP6y7u8/VUDXn9Th7npgOEoYDj2CTyPMD1RWaAUx4ookcSxJEqEqw9PRFojnmptI8hViXXMLYVLFqk0WeR7hsBPqAcxrfqY+ek+w2jIV56wfORrU9z/5DQzvsfV2yxbZiWb5ny2bpBs3xRy8bYVHj825FNf38CU0myYErSbgnYjojNI+Ny9NVq+RQgHrOFY88Zbxnz2PlcT0+kbLqxotm9s8eYX9bn/6R77D/o0gxglhQO5aTAKndb//ld02LvlAh++vcs9+6Y5sVJnc1swVbM0fENNG3wPtBIoSZogc393Vn5kUqlmTLHCxSnQHUFAlAiiJAV2IhjFgkEs6CUwDg1xGNKsD3jzq5d5+6u6XL83YdOsZjhs0e376bXyiKKUlGKPcaQYh4owlJw8/vRGGdz7zkuveIkZ9LsfaDS/9Y0T31KA93odlpe7SMkPfOVrX//1z3/hK3P97iqNmiSMyYNGnbKmryCIoaYEfeUx9BSnuj5n7mtw3xN9/uKaHm99xZDX3DJidtonHAeMc0bQRCnQ40QRJ2nCJikAbmzK3Kawo4SwaVDp6ji0NvheQuBH1IOQVn1IwpAvPyz5069O8+TRKUQUcNGMZcu0ZX5asWHWZ/O8ZOuGiJ2bu5xc6PF7n24Sj+ts3y6YbmnaTWg3IoQX0h02mW65m9xaiGLJbKCITUwv8ukNEla6itMLda68uMWPf9cq7/qzgOMLTbSK0htDE8c1RqFk81zA8y/pcs3FfZ46fpqPfK3ObQ9Nc6ZTpxkoWj40PYuvLZ4CLV06X4hqdZ0BrHE3XWIEiYU4cc0jUSIIE5ckGiaCYQLD2BLHMSYaM1cb8tpXrvK2V/Z4ydURU3VNGDdZ6QQpqDMi0oSRTuWkJowkYagYx5Jhp8vKQ3dsjGP565defkO8vHjmj6RuMj39rWPzbynAx6Mh83PtNz388CO/feedX2uPRz2adU0Yp8VRQqQWoEXFAi0tnrT4iaCuBINEMFABg9jjwrjGX93X5I4nB9z4pT7/4h/3uGJnl43TinZDE0aOIeK4AHmSAdxIjJVY6yRB0eGTpvqVdckiHRP4MZ4K6Q4jFroRv/nxGkcvzPDw/mms8ZmrCzbOW+anBHNtxdy0x6Y5yea5mG0bBsxNr/CFRwwP7Zvmmu2CmZak1ZC0G4ZmPUR4Y4JAo5X7/dZCkkiGY81wFBEbQW9o6PUty12Pc0ttbr6szwuvXOXDX6pRX1ZoGTlAWk2c+ISRZDj2mJ+u8YI9fV5wSZ8HXnaG4wuSP75tmgurDU4tBfhK0vQEfibDpAs8cyLPpAqOyWMriA1ERjBOYBRDaCwkMcQRUo3ZOjPkml3uetxwRUK7ronjJp1ewDjyiVNAR7EmTC3JKFLudSRTe1I65ysSDLs97rjjjrneSP/2VVc9b2UwHH7qW4nJbxnAz585yNz8JvXV2/7ikgPPHGrHUZ9Ww2M0NghhUnBZpHTLppIWnUCknHTxEwgSS0MJhkow0AHDxGMprHPbQ1PcvW9IMxjzv72uw/a5mIu2Drn5qh5aKFoNjRBOrrispKuVdomjFNxYhLQo4Txzi3NynjoqefBpzWfub/HUiRZh3KClFRvqltmmZaZhnQ/e1sxOaeamBZtnY7ZuGLJlwwp3PDnmPZ/ZyJZpzYY2tJuKdlPQasTUgzF3P6MYhRqv6UBlrSCMJTWtuG7vkPuemHaFT8OE1a7H4mrA+cUZfvz15zm1uMR9j27Ak4CIMJACyGMcSvpDzUyrxnS7yQv3DnjZNQPe/vIFnj5p+Oz9Ne5/us4zR5rEQjMeKwaRQuX1PeXAM80JWENsLNYYPJEw5YfUiHjh9X12bxmxfT7iHa8ZU/clzbpHGDbo9BxbO0B7TjJWDpkfLnZyf/84clbvKFKsLK7ypS/f0X7m0MlL/rcfeLt64qkDyTVXfWuaJr4lAH/yySdZ6Db9paUHfsja8L/0OssEviYxxjkXiHx5lAKUsM6WS6w7pNN8XgrymnKB6NjAKPEYJh6DpEavl/DrH57BxhGbNoy4cueIuamYt75iyM6NIVEkUr0tocTcpPpTSoOQgo/dXufxw02E1hw/0+D0+Qa1umIqEEw3Le2aoV2DVl0w1VC0W4qZlmZuGuanYzbNjdi2sUtiV/nY19sM+00u3W5pNxSthqRVN7RqMZ4X8oX7aowHEm8jyBRMUSxp1hWvvXHInY8Y+mNJf5jQHWhWe5pzSw2u2N3irS/p8vBTDY4vt1DSAFGqlz2ixDHhKJT0R5pO36dVb9Csj7li+4ibLhtx8kKHY2dX0V7CY0c0f/G1BkK5wjWErF5EawAD1hKFCbs2xbztFUPm2wmX7bJsmoMk9hiHLeLYY6XrEUeKKNFpHOQAnQHcxUQydbUyz92ZAJnr5RwwMFZx4cICm7bs+C/33nff4OYX7v7g0cNPhLv3XPN3A+DPHDqO8s7v7a2efvepIw/JUaRByLQiz0mFjMVVnLoXiSVOHMg95XxYL3EaMDCWWmJdkGMsYSIYG8k4kYTGIzKw0G/ztccNloRP3h8hROIuknUXCVKzxHmBaUWiRCpFHGmk0Xha0gpg9wZL0zM0AkMjgEYgaNYlrbqTQ1MtyUwb5qZiNsyM2bqhR8IKv/mXNe56YiN75mCmkbJ3Q9KqxzTqIc3GkHq9QaDcuRDCBbvGQBR5jIaC4TihN1b0R4be0LiWuabPqfNTvPjKMT/1Pef5jb/QnFgNEMJgbYRJbOpKSEZjV8baGmqaNZ9GvUYjaFALIlr1kOdfGuJ7ETdcGvOOVw7QKk6TQAYhbFWUp5LOGIkQksBTgM9orFla0a5uJ8linlQWpkCOEwfqOA/4s4RS5myVEkuZ9x47vS+kc34efugBuWOzevehfcOv9wbjJ78V2PwfBvgH/+ijgKo//fQzbzly+JBo113PoLVOjmidMmpey21zey6z6OIEdOJ6H+Msok8EsbFFZG+cPnSHIDSS2EoSo4lMQJLaXuVHnqUUoIVwmUoFtbqlpi01lRB4EGio+ZZ6IKj7kkZd0qhpB/CmYLplmG3HzE2P2TjbZ+vGJd7zGcOHbtvEjmnFfMvQbipaDUWzAY16QqsecXbJcPhsQM13kgyySj/BKNTs3mzYPD+iO/IZjmzK4pLVnqZVr9FqTPOOV17gyNlzvPdT29BSYzEkJiE2lijWjEPFMHRFUYOapDHS1AOPepDQ6bkYw/cSPJ3geQlaukYJKV06X6SHK10RgEhBLuiYtMrSuLgmSSTGSGJTxDtxIkgSB2iXPEqBnTjmdq8zgKcZ1IQc5InBzZjxFfVawJkT+0QrCN+yeevuww/c9YnhjS9+87cX4FPtwF9ZWfqZhQvnfwYTSmM9EmMRpBlCJGCQQroAUzhrTqeeqwMzuWft7CrnySZZ1s248s88zZ5WyjkvV+SBUllzA2kmzwVWWprUvXErhqcEnrbON9aCWiCp+ZJ6oKjXFK26pNWwTDUTplsxs+0x8zMDdm5a4v5nxnz49q3M1AI2tQzthnDgrkuaNUOzFtNqjLn/ADz2dINLNthU9xZp8+FYccNllkt3DnngyWkGY8twlNAf6hTkHo1anXptmu996TKPPXOB+/ZvBqswJnHlsLEljmxeTzIcaxojS72mqPmGwPcI/IRAG7RO8LQrMc7KIFzgb0FYRNFWUgrOXQmxyRwpk9mvJSs2A7YROdizLGliqgCPU2AnuQ3pVjNwZOh7itVuKM+dv/ALqLbvB81fAcJvG8AHw6EcDYe/9Ccf+tN/3ess+I2Gh6cFKhXcQqQVeqKoDkykdfJEuefEOLC7E2cx6YlJ8uwjjp1TkJs0E5clK6y1lDLvlRU3S1UXK0aasVSUirZc9i/wFbVAUQ8EjbqgVbe0GwlTzZjp1pi5qSFbN6xw34Ehv/QHmzhxapqL5w3TDWjXFc26olmDZi2hXovwvRGdkauG9JS7gNnDXXhJFPu06xGD2DBI66wHo4TeQNKpKxq9gFrQ4qLNEb/8Qx1+8Q8l9+7fhEVhrCFJDHESE8aGMFKMQsUwkNTHipovCXxL4CsCbfA85/drldb5KJsTTra6VughTe3blERsWsuSpIBPTPHsiEmmzyIFfOl17FbdDNgZmcWmuJYCl1AajCSHjpz3x0n73/6jt3yHNxoNf65Wq/+N0/l/Y4CPR12sDX/lqcfv+lf9zunahrkAkQWTpfqHxIA0ToPGxlmESQZulWbSlM1Z2qR/dAZuk/43rLGuizwtAS0fTAA8+wwiA7dw4FbKSSKdtqJ5WhL4Et9T1AI3kqEeWJo1Q6uR0G5ETLVCZttDtm5Y5b6nB/ziB+c5cGKWXbPOYWnVJc2GdOxdtzRqCY1aRJSE/MmXWkil8KRFicImNDZbyj2+/9UrfPGhkF4YMEgB3h8qen1FJ9DU/IDAa3PZjpj/9MNL/PwHBfc8uQljJYlxafUodoVm49Awrrly1yAQ1DxB4Dt962ubZ2y1MkjlvPFMMuYAL1KeQEoiuFyCc1vSQD4DcDp1wOTJNVJ2J19xkyQDdLZKF6UTDuDul8WJK/SyVrC6/1it/qXb/8/veOUrxMpK92dnZv5mSaC/McDPnT6KteaFJ48+Um/4IZ6S+d2YgdtYUDn7ClQiqqBOLEYVwC4ztDFF+5UDutP1JgN1duInPlcG8KwGI8vkZeytdVZ3IvE86eo3fEEtcDNPGkFCs+7A3W6GTLeHbJjucP/TA37pA7M8dXye7TOCuWZJmtQ0zZqrX6nXYupBiOeNOb00g6cESprUliuCzCSRxLFiy4wljiO6US3tlHG9jb2RpD5Q1HwP36vh6Sku3x7zn/7ZAv/u/XDfvo0kRjqAJ5YoTlImN4wDQy2UjHyVSzDPA087iebqVJx7JTNvPH1eB+NOrpAmhRB5csikyaEsW5wkpaRRqd7F5Mztrp8rD7D5NbZpVjUrI7AGRuGYO7/+YH3nzl0vlJOOz982wPc/+nk8NWrcfddX/PGwQ6PmXJAk1VRFrYPIC3uMhUS5u9tI4QCtS39sDuayDCmfhNKJsGuBnT2kKIqopCT13UWatpZpo0QmT6DmQeAb6jVLPXD6uVGPaDdCpptD5mc6PHRwxM+/b4Ynjm9g67RiQ9MwVRe0apJGTdGoC+o1d3O4VH/IffsF/ZFPTZHeZG51y5oQEiOIYk2zprj5qh73P9VmEDmZMhwnDIaKXqAIfIXv+al+nuaKHYZf/dEL/PTvwz37NxIZSWRM2ixd9GCOfUngG8feXlFHr1V2kMqUQsbJNMu7HsizpJDNAJ4CPsmdF6orbyYtkwkCM1nvq817YE32bG26Mji5Mlpe5aN/8Vf+61//usafffSzg7d/z3f+7QO8t3qE5tS26Scf/OTvebL/Umc7SVRetSdyxi3YNwV2CvL8jjdglFiftUuANjmwi6ZgUu2dXwwh8n7OXPun4HYAd43MnnZM5nu4TiA/LbAKEuqpvGjVx0y1hsy0ujx6aMzPv2+Gx45tZPO0ZkPDMFWHZk3QrCsadUUjZ++EWhDTaoy44zGf1U6NmZkiTZ4BxqTaNEoUG+cUr3xenzseNK6LJjQlkEtqnqTmaTzto3UdKQ1X7LC880cv8NO/b7nnwEYio4nSCkBX9uqYPIhkXl3oa4nWaRGWFCidnRvyz5fdhJlUEVlVGkVCaPIwpWdjSs/5tbcl6WnXWZnL7xXvx8YSxwlLq8OXHjh49P0/9INv/Yknnz62evXlF/3tAryzcpZ+d/GnB50j32fjC9RrAXFi0IlItZdNo25bgNgKjCqVaZaZPf1+kssQcvauBJKTzJ0iPcvIFQ0TWQVdobszO1IrXH2Gtnieayyu+Yaan1CvxTRqEc3amFZjxOxUh4efGfMzvz/Po0c2sXHaY2MjYaphU3Cn7F2T1APH/rUgphGExGZMLwwQSuJlDJ5r8PRGN6lfHHk0/ZErFwhrzGQgHyUMfMfggS/xtMbT2Qa0lqsvsrzrJ87zf/+u4Z6nNxEZzTgRhIlJWVxQiwyBZ/E917uq07hDK1cirKQsel6F86NlKX4hjalKpzsvWCuDu2Dfgpgq4J0EdVmKWlu6MUrGQmo8HDu5iN84+n333vfI4XEY/bu/VQbvLJ+iPb1t10N3vfea7upZAl+gTUJUsocSU3SPJCnITQb6HMzlO1bkJyox5RMmSkwhKto+P9UZa5eDymy5TTt0VBpMaZ12BqVFSFn1YM1LUt0cUa+NmWkPmGr2uG9/zM++Z55Hjmxiw5RmQz1hqmZppeCu15ydmIG7HiTU/Jh2M2T/McvtDzfxpcRTJg3iCo8iC5yjRBEbza3Pj7jk4j6HT9TZ0KDocxwnDEYpC2uF1l5esCaE5apd8Ks/tsi/+33D15/awCiqu2RYbGmkNdyBhwO5zlYvk/e2SpXkK5ySogTwqlkwqVcKkNsqwO1ayZGB2OZsTv4zZVDb0uv8SCxWKI6fOMvX7nzwml/8mR/bdeToqeMX797+rQd4ODyOFzQvWjp7x39T9sKbJD18T5OYBCUlsbQkaq2FZCYYvXiuLmmFHVWK3MsuyRq3JOvhnAC3sEhFXu+iZDo/JWVuXxs8zxB4hsCPqfkxtSCkURszOzVgpTfgzifhV/90M48fmmc+Bfd03dKqC5o1kXvlznkxjr19B/B6MCZMEkbDGjXlbjIpSks/mWYVaaCpnZbXY8ahZRiJEsANvp/gexrPk2ilUNLLAY6Aa3cLfvUnVvj1P4u55+k5znTajJqS6cTSii21dOJA4NnU+8+cFJuzdyZVMoDnnzeze0s4zxVielFsfq1K5bclSVlc2wkZkpOarUobm+VBChdmeXXAsdMrb/rLz96bvPSW5/2f+w+dPXbFJVu+tQAfdo8SDhs3jTqPv8WMnqBRb5AksfM/lUHFaRVf2StNMi0u8qi7AHm2XGd3tyidmLUAz05xWRVmF8GNe8jYO8uU2tJwIFcW62mTjplIcnAHfgru2T4LK0Pe+ScNPnXvBhb7M2yYkmyopeCuOd3dSAPLeiBpBDZlcKe9a0EIhHz1UZ+VyGcuoFKPjaiuUEnimh/ageYV1w+470BILwqYyjvWDf7Y1ar72gFcK4uSHkK6BA0WLt8h+Y1/0eWz9w35lQ9s4tTiDMNpzbQvaMWGRgxB5EYv+8oNNPKyQFOKPAjOnsuBevnGFCLvFcmvD0xIyAzYFWYvafUyoEs3RB6g2qzTKAW4FcRGc/v9h5ie3/yWZqv5J93e8Ni3lMHDcIDn1S9dPH37v+wsPu7G95q4VH/thlTGxpRSuwKjMgkiK3KkYGqR12tbbGFDTbJ2WZakJzpjlizdnLkAKgO4smjpgO16O9P+Ti/B92JqfkTgR7TqQ7QecMdjCe//XJvP3LWR0LTZ2BbM15wscRZg5pOr9BApc5fZO0LrMXfvm2YQarY0ss8zyeBZkC2JYkXNU7zwiiGxcQAfRsJ1rWed62PjgkMtUhZ3N7JIk+sWwfy04Pte3qcVnOEDnxty5745zkV1BjVJO7Y0tXUg12kcomwal9gU5Nk5FEXtuARJweKTOwrmUiUbUcGkNi93D5EzfCZXyiCvgDuN3bJsaGTACs2d9z7FS2+89F++9Y0vfqTXGxz8ZkbCfUOA33H/QaLlTzJiZmvc3/8yYRcIfI/EROi0yCZJmw1UkjG4cWyeZKleW1iGeSApqlqbDOhlYJesh7J9JeyENMmycq5i0I12M2nNdwpu5WoxAi/C9yNqXkijMcL3B/zpbZpf+6ONHF6YxQtqbG4JZoOEdmBpBtBMO+zrgct21tKEkKtfSdKVwMmTxW5CP/TxlcKXNg8wKf0p2Y2d1W6EsUfdG7F5esjqoMUwEum4NRcreF6S2nwqtTuVA3glcHWVj296SZ8brlzgV/94xIe+sIHluMkg8Gh6krZ2NTiBds0mWTOEzpI+6conc6lSJIDKpFIVK2Wgs+4KnAPelEA94byUpx1kWdAoBXloBDGao+c6fOGuAy9bGSRbT53tHbT2KYS46n8M4FGccM+RV12kkwffs0Xfzqa5EYNhjTjRxFKhpEmfJYkqyZTEYJSckCZpytcW9Q75H08RVGLFuj63wBZsIrPirfKQIIuSBllh7iQFeYyvnSQJ/DGBN+TY+Zj3frbJJ74+x5HzM7QbHrM1mAkSWoFNU+8ZuGUKbpknhWqp9g58d+O0m2M+frfm4PE6tXQCV94uRoHyfIyDTQuVYs3lu+ANN/R4/+fn6Dc07XT2SBCmcYMyaC3TsXWUQO6VKNWtCjvnJT/7Twdcs/sUv/+ZWY6cm2I5rjPwNE0laKRA96V1N07qMuWrX3ZeM/sQp8+LTKdd65NnxJSVTti1sVSZxQuQi9wzz0Aep4weGtdVNDSCUQLjoeS+x+/nn79jy3t+5G1XvQ7b/YZS5TkB3h9FNALN7330we2PP3VgzxVzi7zlpYJ2M2E4DlCxRsYapUylmyYx0oHbmJStMmAzAfISe1uRs0B+snLathUdmAG7qE7MAG5S1yRj7wRPx65zR8cEwRhfj+klIe/+qM8HPruZ00vTGFVndkox61umfEMjZe5Gnr6XaZ1KKk1S7zwHt++yl+Mo5OCpgH4YMBOkLk5ek0Oe6Ckne+JEEkWadlOze3uICkb0whZDX1CPLOMM4DpJEzXK+dgyKwFeL3hVbJga8ONvGvCWW8/xgc92ee/H5lgcNhnqGjWtaGhBXVmC2Do2l2mNvizKG7Is5xomZx25MumwUGXyAtyipM/TZFBaApC5J3HK3mPjurxGiSUOIzZOdXn+xWeYVfftwQTbka88Zm2IEP7fDOBnzpxnfqa14ZKt/kf/3bsOe9rsQOrT/Nh3DbDWEgofKd3ckZzFjSw0uBWuu8YUVWm2DOwc4CIH9PoZSluyA20O7Io8kWmVnErnqugErRJ8L6Lmh/heSGcUcvfjkj+9rc3Hvj7HKGnh+z5zvmDaNzR9SyOwNPwC3LVAEgSSIJUmLjGUOhMpwH3PZT6PnrXc+VCDMPIImnZNgJk98jR3Gq+EkcLzNK+8oceHv9znwKkmw5qb9zL2LH4MXmTwQoNS0vnWUqQVmgWwKh67kTQCzabpIf/39w64YueYD93W4sH9UywMm4yUj+dpalpQl64J3FPWsXkmVUQhVYrA05YSQZVLVGH0fEUuMbidlCfldL91wI6ta5kbGcfcYWKxcQijPm99zQV+/kcixPhxb2Xxuz7qN3vPM3Fn4W/M4LMz0/KRJw/e9PFP3T7ly4Sz3SYfv73Ja25YYvemMdmwTCE0ShoSKUmMyksry2WWhd4uHRmwKyBPGaJE4LiKcsfkeUrZ5OWeTndbtEocwFWSyxGtIzr9iLueFPzB59vc9vAUy50Wsl6jVVdMe5a2b2h4loZvqfukrO2Yux5Iar6i5gtqPmmFnknBbQg8p7+VHvPMKTjdqbnESqpvq4mTon7G9UGKdEmWhKFmU1tw6Y4hT5yIGUQe43TGtx/iwKeyybpZogYm6zTKktDVabv68Le9cshrblzhK4/0+MMvtHlwf5ulXoOO9On7Gl8JfCkIJK6HU1q0yOKaohNLlHIP5cfa+pXyjVfNbSQ2i0VKzG0hsgVzhwZiY8BEMB5y6fYub375gJl6wMlzioWDX5vadrG4aX7TpZ/nOYYHPSfAT548GySJ+d0HnzzVHCXur3xgX407H9Vc8voQT8t8IH1itUvZmyQFddoXaeRaYGfsTRFI2vz/SmeuIk0s5QJ9J0tMqrkNSiZuIH7mZsiIhV7MHQ9pPndXi0/dOcWFbhNRq+G1PNoapjzXyVP3SGUH1H2RHjItOU11ty8IMvbOAK5jfD+m5odYG/HVhwOOn60zPyvwpEl1rCgafUtsZ0253FQxHHvs2iR45fUDPnFvSD/yGEaCmmfxY8fi48iWVimV+9UIWZEpNl85C8kYx5p6MOZtLx/yHTcs8cmv9/jsXQ3ueLzFhU6DofAZ+hrtKbQQeFLgSYknbCq1LApRkoZV+3AdMl8bbGbltxm4U8bOjihteo5zuyWCeAw25CXXD3jhlRHGBPheQjg61LT25b+7snz+CmD4NwL4A488ydLKgMNnOnSGEsyY5UU4elYhxRBPhzg/WqOMwUwwuLWyqrepAjzrHrFrhImoBpQlYAthUjvQIFKAa53g64haLWI0TjhwGo6dUXzkS1N8/sE2F1aa4NXQbY+GkrQ8S0sb6p6l7kHNc+CueW4moSszlaVDpN+3KchNDnLfc+1ph88YnjgagOely7wtpehFBQVlXZqkJQ5x4sY5X717zJXb+zx9usGwJmjEgiCyjBWptWdS9s7clMyCLLRK7rOnVqQxKp0+4DEKPer1MT/42jFvvHmVLz7U58+/3ODYmRpPn24QrgbEgWakNVK5qb4K0OlzxuS5dKEI/icf5fgqA7VJX8clDZ51YxnSPL1NwMaOvU0ENuLiLTFzcwmjbsjc1ABrL7C8sB9k67kg/OwAX1o4K0aj4b/8yEffP/+WWxd49JDh/n0CoxOmWhZqFmUiLAZpEkwKbJUDXOZMktlYFlFqBi663ic6zVIs2JLmc0kNJ0lMustDQhC4SapxknBuCb70Nc3hU3Vuv7/O6ZU6h880IQhQDU1NK5ra0tTGuQieG5xf89y4Ngfi7JDpoVKAk2ruFNxeQuA59nY3VsjRBdh/rIEnq/ZgLlEo6sHzoCtzUkzW0+hx5a4hl24c8OSRmEHs0YoEYw1+7GYCqhLApRT5BgEZk8OEBZfJoKxvMlFEicfY82nXQ77/1WNeck2X0ytdvvqAz5GTAV98uMGZpRrJ0MNITeQrhJRupUi78iVpxhNy2cLEAlwuabYlWeKebeq4WIpe2sQdJimBPIFxQqcPJBbtjXjwGckDBwIET82/8Y0//C9PnDj9rp07t60bvj0rwDvnbsOY+PtuueJM8y0v7bPc6/LEMcFDB3yEEBw66nHRzpjARiRRgjXKyRLjWNwxs8ybWKlIkgzsxVmx6RnJfe4Kc5ekiErwgoQosRw5KXjiiOJL9zd48qjPvqN1uuOAcRiA56PaHoESNBQ0tKFe8oEDndVpZGWzri48SGWJ7yt8X6Y3gC20t5e4zKLndH7Nj7Am5PyyZGwDtJb40qJLNtsEgecgT2y13zGMPQSaDbMhUo3oRx4DLZzTERUFY1qZSgZSilIUmw07opCHWWtZlpjzEpWPnxiMfTbPhOzcFPH8i8cMwyH/29EOTx7z+dJ9NZ44WuPIiRpRrCBQWKlASBJZygaVk/kTAK9kt/LnzA82BbhJC8dt6TkyaBJ2XRxhDPz6nzZ55OmAx4+2OLUyzyXzvWYnuff7lNLv+msx+KF9XyBOVlXcf1LMTw9o1STbNlquv3bI7N2GX/6NKT5xW41rrgp59Y1jXnFdCLjG1nrDok36RxtJEhUsbsusTTU4crVT7o8X0tWNIAxCWqLQMhg5Rj92SvJntwUMIsWj+2ocOhmw2PcZJz5oH5SHait8KagraChLTeHGmam08Eg51vY94ZIeZXB7Ej+VJYEPgU/qmriUuacNvhenGdGIei3kwkrCl+5p0ekFzEwJdOrFZ0Vf4tmW73JhmpGMx4r5OcVrbh7xxQeHnOg0GXrSyRQNXmzxosyzTj12mTi7kPKsE5n/DmN16Xc4oPuJItGK2HNjH6LIc1aqF9H0I15ydcwLrxjz5peNeOak5LH9HsNQ8aEvNTh6zgMhGQw1Saiy8k2szpbeCcuoAvDMBzb51yI2iMRiU7DXGwlezSAwvOJ6h69rrgoJ6pb/+BtTfOauJjSayFrAaQn3PHxEvP5lV6o/+4svxG9/62u/OYALYRF66t3D4eja6UaIkDEIy75Dmt//8yb3HwxACO7dV+ejX0rYMJtgreX6vRFve9XIlTomsGHKcN3VEc2adePTrMhzYGuvuciH83QGgsce1yx1JfWa5P79Hp/+eo1RpBhFirPnfIzQRNbDCA+0RgQaLSW+EtSkpZYCO1CWQFlXA65Tz1cXzO1nfZk5uFXaoyly9vY9g+9nBVpJzt6+H6FUyNceUXzi3hbK185uq+jvZ2fwzAtP8s50xWjk8cZbhnzq7i4f+uoU/bhGM9XhXqbDoywpY/NuISFkDjD3q2RJ65cAbtLRDtoxuacVsdboOHFAVwlKuUH6M7WYWy6LufmyCCvGvPXlA0aRG+f2V18PeGC/Tz0QLHYVjz3p0x3IVCWJda9wkQRwafxmzXDd8yLmpxPX+JJY3vaqIdftjbAGNswYZmcNnrQgBT/+tgGHz/nsP+3GhQxiwWjQv3Z+tvVua/nxb4rBrV0CZtud0390WTBeUDXdo1kfcOis4Rd/Z5q/uqOJ9d2dO0ZwvmM5v+o+/DMnLJ/+Wttpq8QyNWO46dqQVt3VBK8R2xMAJ3UdVvuKB5/w6XYUUks3E8XqdPyEdhv3SA3SOTeeFA7M0hJIgy8dEHwFvipm9DmQi6LhQbtGgKzxuAxux/BpWa2XMXhSOmICHWFtyOlFn3BcI5iS+GnaW6VVeZUspqDQpbbI6Obd6UYRRh4zLcWO+RBfjBjGAcNYUNduCGZWQ5IltJQsl7fK/He535FJRFMkWYxJy5oLaRTHSZo3UOn+RzFRnKAil0vQKkHKmO3zJl0xDFfsHBHaIVIbOh3Bg09oVgcSlSuWalBdudLW1YM3a5YXXhsxNWOwsfs39TTZRHqObKxI0o3BvuulQ8aJ4OffrTh0TrNk6jx9PlIHTg0u+8V/+eb2y893uts2VecargG4CU8jxPl3jcf3vDyxh+kkgs/fIfmzL87wV19vYbSGVIdNCq7YWjqZ3yct3VXL2a81S3/i+gn4dNnI73wrBCbbcoG05lSoIsiRMrWyMlCnaWdJunFr5huXnnXaSa9It94jB7dr61L4Kbh9TV5i6hg8ZXFt8NPsqOdFBEHEyUXDH3+xCdrHk6IIMHN5ItYweDnTlw0JdWBzg3XCyOMdrxnyyTuG7Dvfop94NGK3Ka2rArRFJ47KcgKlYC87l3kNiCwVeGWHyWthtFZ4iZuX4qVAV7JImrm68fS1MOngoAQtLMImzDcM3/liAyJJZSYgsv0z1rnm5RojozCxTmM0gYkFY6jEaG7zX2dmfPetQ3y9wIe+OObeh1uEvSUee6Lx8kf3X/euMIr/+Tdk8E9/8S/RSvgf/8IKR07PglDcsy+g1/Owgc6Bth7AS8tAvhwlXul7udld1mgZu2UArwYvQsq8BU0J8IRLKwfCpsM73ddaktZUpN3jWSGRpjQHhXRntqKrvgC4zGVL4Nu8pc33TWlwToyXsrevI6QMOX5OsNCtIbQmkFTkiSz/WaXLXZYOFeClTkcYe8y1x+zaPOTpc2OGiWaUQJAIvMTixakOj8mdpSKFriqdCtkpd5N2s44ZUZJGBp0YEiVROtu+XKXFaglSmXSlMIU1m4JcZL8bNyVLpHXq2W7UmROWV4Hm8CjlPvL6nLKGq2a0RUqY0hhkbHjjLREvu2aFB/b1MNYwjEMefPAjviBZcy+tAfg7/2CIFLDv4BxLnSn3+z0LjQyIMgVh+SOvuUW/gRwpf3rhltW8F1AgKVLEbioVeMLiiRS0qQTIXufvpWRflIKSN9j6SjiwV8At3bOfAT0LPlNwZ90/2uQSxdNOn/p+REzEZ++uc36hjjel8Ms1HGUHZfJMVVLXYiIIVIzGboLt61/U5+7HR3TjGgOtqceGME2nK1kURGUFZ248XvabskBTUEmRm3SmioVEud+pjSBWAp3IdBc7V8sTp0AvkmkmT7BJaUqJt/S1LMCdWbvrFWitgbyd/O5aPJXLNMIowFeWVz7flVgPQsPq6PC6hR4VgH/4Y19kql178fs/ctcNx2sDxkIRpSem4N5ql8ff9JELkixZIEBlz8KiIbfaVJoydvNNCo2bzRp3zyIfhVAGdj4HReH6EdcDeBZwZrpbZ7LEpnq7WkvuexG+F3KuY3j4UB20j07liS4VKGXZPjGBcOcmlaru8lY+mXviUeRx/SVj5qaHdFYaDGJFQ4EXu79FJW62jIrKAMeBPP9FcqJSU6Qlq2kphXL1+54RrhJUGRIliFOQl4vXsnIImYG8BOqsZEJgUpCTljQXE7MKifYckuU5AVNYx9l/pTcQxLFiGNZJ5NYbGvOvffHhp7/3rj2Xv3p9gK/2I0YR35kkyXUiHjPr+2lNQLZDQnaH/g8AO1UoqRhJGc7mWbECHDZn8MkSTp3VRqQ14Fmpp2suzjpVnCxRefdKAeys+daxd6q5NbnezixBx9gFuL28OjFCEPGZrwfc/WQLGWh8Kdz87byCsGijKyr+JrOZIq+2NHmjiCIxiuHI4+arhrzhJT3e+5kWYRLQTyS1xDKOSVeuctWfSeWcmbihno3JwWiZN4ln4E6URCnjGF3KdLREtuOdKQG8BGxZLaMoZEp6O4vi4v+PEqPrYnL/FbfqKaIwQdaS6zzV+U4rorvKP54D/LEDJ5mbab7md/7kK//0iSOLaK0Q0uDJUivZ/8jnKr8uMVue0KEAQ54CzkBeGm2QMbfbgiT7mpTByduwKiyedsN4qgpuN05hgrnTnk0/bW/zdNZwEJeOiJCIP/9qm8QGqDx7WQ4wi77GzNmoaHAm2vXSBhFXdqxIEo3A422vGPAnnx2zaiKGSY1hIvBichaX0iJjkRedObtwsvZIlqxJUa3k0+nMEpWCXFuUcXLFTSBzFYwueyzz0uTCoixXdxZlzNlOGmt0+HMx+V8DTeX5iUJYAnGCVnDmn7Y3v+n2eHTki7p2cRXgcZQwHkWXDPrDPb1uj5mmq7HNllIzGSf+NdFdynUV5ZYZkwvyO75oHq6+ntScGejLsz2UEoUWTyvuKsNuUmBrJQonJbcDXce9a0y2KXMXAaYusXfghTx8SHLwTA2rPJSU+NKgJ+s0SgJ80kXJjmI4kij51Q7kUeyxZ2vElRf3ufeZOpHyGcaCmgQvsehYpPIt7cKJUx2OdHKh8itFicVFSRoVk8eymZBamXy8nkqlXwHurBbIpmUCGZOTrx4ZuPMSi0kmp5Aaf52Hw14RoLoeAvf1aNRnNBrtacTRJSZOvpj9mxzg3ZVlbDTENwPm6i4pMllDUL57/lr4znRJPqC3Wjhf1uHlZV3lNd+F7VZIFuG650UBbhdkirxbXOfglhWAl4f/uG57cmDn2cqcuRN87RI7risowhLxF19tsLRURwTa+e7lm3CyBqV0o1d6F02VVSvetFFEkWZ+VvI9r+zx8KE246TGQPnUE6fFs3JWJUnBna0VJvXEs8JcAFkpS7aTrYSVSb4SZbIVyeavHZBlRYuL9O92oJZrGLyoH69WhuZ4+GY1iy0C03IRV1bXFMd11IpAt1ZJ4qK4MAf4Rz76SZSSnDm/ykxLFkMvKSL+Qt7zTUmWMpDLcXLFXSg/lwFdBno+ealoii3PHMwBnrN4JlckSlcB7ut0AJCXbR2YZji1xctT8SZ9nVQOrVznzr7j8NHbWoylj5IqzV5Wb8TJDObkdSyXlFZ1eKrFE0WcaIJE8z2vHvEHnx/w+JE6kfIYSImfmNQ9EsjEls6Pde1lwpZ+i0l/V3XfojKTJwZ0biG6ib8qLQlQiS2GdaYTaUXWqCwgntDjueycAHg++3CCvb8RyNdMVsjxmCXKXFdU5+gxjp/4pEv7lwH+1MEzXHnJlsYvvfN3dp84vYROx6kpmTJ3VihVupO+GamSgTe7X6vtTrYqUSYCs6pEETlwJschyxJjZ0FmNrVJ62yT11R7qwlwZ+l7L2tMNm5mSN4ilvV0xukRobyQg6c1vdAHpVN5YifKYydv3CrCqwONJrzwtBunSPxomp7gsm0jHj8YkpiAofGpJa5mW6caXAm3katLLGVkYiCv+ckuernC09XD6HywqXtPGUikA7xKd6eQppgQkE3XSrLu/twAKILLPPCcuN6TAC/0+XNYzlnSKj9/Ij+PWSl2nEBsYmZnp3a/6JU/0YiG/3Tg1Xc5gB86dpazF1Zf7Tfnf/rC8hP42gGqmEtiK+DOL9JzgXudu3NyxoYgzRnBGnmSp7lFwdZOtpSHamYgp6iRViVQq+ouxp4i9cIduB2Ai6FAXlmelNlbpX2dfshyz/D//mWLpWENEXhOnkhbWVWKwTnPbadWpglkc2JyBneOShxr2g3NT353j6883GZp7BNKzVBK/DStXYx8SBm8XE8vDFkZrcWk4DZ5pWd5UKpOh/JkQXoGdiVFyuBOEiW5i0IuUwodXrQTFlo8BXX59bNg5NkgXs4VFuXWJS0O1HSXbVuaPz3uPnZXFA4/mTP4fQ8+RS0I2HfgOOMwou77lSzrJLiBb06Hi7V/hCi9LybYLgOGm5NXAntJmmQdMjmwpUCqYvyYKoFaS4lOJYnOAZ5pbpMHlZ42Obg9ndVfVNnbUxG+H/KRr3o8dbgO0kNKSZCVxpaszXyP+PSPfNZqQgoSyXeqKMmU2Mh0kyePq/cMeNNLuvzB52sYHTCUPoEUedJHSUFUCeiqTC7KTF4qXS7XxBgFyrpVwVjhwJ1NCTOQ5PNTRAHw0rMDt0gzmpPuWNVFmfz6Gz2qIBdrconuHo7od46zeE6SxG5jCA2wYcqjVvOYbykagQNH9nttKTAq6+/nXFVKn6qaqs4K8+2agTIVzzgPLEXB5jlDfiOAywLgqlRDrdO6FI9ciniqcEu80nCgQnM79va0m1q10jH81ddaLHYCqKXuiSgFY88iUSg3BJQv1Hq2XWYZGolJMjdFM9NWfNfLB3zq7hFL/YBQaYaJTO1Jkbo3omjGzpLNJR1ubdH1Y3I2zzreBTpzVlT6WqZfSzcVODvvZZALKUrd99kQz1SaVPR4qZczXWXWA7gQNmXktQCrdu4XZQgI54xGxqM/ahCMW8Tx2AH8wDMHmZ+fuejOrz/wU/d1zjPV1K5TuyxH8v8rBvOUCH6ibqB4trCuLEGsNzRTrPk6Y3IlyOfm5R3lpdnf5Q4XN9ydKriznQ0y5lYl5l7D4Nm4iWLkhFYuc3n0mOCZ4zUMAULqvDm3qB4sxw+i5GoUV7Jci1IwuSjJE5E7GXm7WaLBai7fFbJny4ilp+vYxHcsnjiZoksuTsGe5UKvVHBnZbSQNhuIUvCJm92eAr0c2yjjbhojSbV3dl0KMsrBbUQ6SyXT5GJCqpTPSxk3toR4UcHcGpCX0/uZ05cEHD+xjNds/tTuS1726KkTh49pawzjUbhZCvuaYW+VZk2nY7TsGs295i56jkf53qtYgiVWK6eys6RIVZ6IkjMhSsFmAWjH4KSjgMs+ePlIt7RWZXCXQJ7uV++lpaEZe6v0a60jlIr47L0tDi7WwS/kiVeyLtdKrjUktIaRijFnRVN2PnajpMXDUHPxfMjrbx7wwL4GGI84cVrcS9LsblKVSgVzFrZcFni6sWqiCDaz1zJ9nRoMRmaHO/dJumJIkbK6yVZYWyIqW7rJy/mNAtwFLspWoXjOc1W2qCuyObdZFavLHXbssa8Jo/HmODHHdFKavG8sSCXyZWJNQFmSKjnA10N6SZJkXxbsvRbU2deTAVoGaLEOsHM2V6LUhFsCdzqfsNi2g7XA1sWAoHzEmzYpyGMnT1REvRFy7wHFJ7/WZDjyoaHRUuCJqjSZ/Pzlv3Xdi5aDvCRT7ETCJwV5FGumWpo33zri83cPuP+Aj216DJMAX5DfaCr//YUOrnpZDuTlpLkLPtMbTDk2T6TT46bE2llQb9LgUhpR0t+iFOgW5kH2GtLEF9XgsxyoVSXVxDvlGLDs55e+Z21GiBaZFn3pbj8EGdLpR4xCQ7Nh8w+SQ9lOLq1V2+ZZGXxdeVIFdYW5J17nUkQUoJaqtHuDEmltSgHuAuRZ2axF62KEsk43YdKqCnQvZ2t3KOUCTN8PicKEz9/TYN+JBngeQqoUVOnckFJwKWSVxdf8/dkFyViTbF+a8pZ92TwZmXviSaIJQ80VO2Ne+6I+jx2rM459EukxNAo/YeKzZF44Ewwu1hCUtYDKbjaDUQKVTT+QAqtA2kKP5yuqBGlKswxNsWrkY99SfSwmbvZJwqtmw9Zj7xLZTsjl8r9s1hLqQYhWY3w1Rr/njz6DlIrhoIvWOrffiv/gsy0LpcBz3YCzcA/W/GGTzF1m7SywrASYxQ4EhTQpWYU5Y2cALyan5hIlZW7H2DZnap0/F6+9NLjUKiLwQ548Lvji3Q0GQx+aHlJklYOU7MF1spilv3OSkbK5sKQe9Hrls8VcE5V3+7RaIa+9Zcyn7hjx2JEAtM/ISPxUiysDKqEkE0AkuMBOCDejoRxBqQI0WlFIF+nYPFtVsiDfWAd2aYpEmzBlNyW9lqZg9mpsZXNsTJLgZJXq+vZg+bmaVZfKorVm6cwDRL2nSJIETbiEFQLPxsi628OlvKRW5j7jTkAZ18+mmyofOl+aynKl+ocXd315O41JBnd6u5zNVCqtMEwrCl07V/pal+eDT4A7PbxsCm1a4K9V7A4d4XkRsU34zF117nyyDjXXzeRn8kRUg8vcGSzf1M+hw9eeW5E3mWeOSjEKzwF9PPJ42dUDXv/iAU8drxHHHlYohkLjJeSfSSQFixcfYX0mL19bpVLLUDo2d18LpBG5Ds/9/ozRs9U2ZfCCvSeucSngrLA46Q243jmCSv2Jc4CqybL8P5FAHCtOnAnxFwzGWPS2jTWkFIzGId1eghDZOLXJLd6Ku7tyFz0HuAtJkv1BYi3AS21d5Z0FKsCuSJVymr50pDsWFEAvHbrYBDUDtFcCdeacOMfEPSsV4XsRjx6TfPSrLcAH6SGEyruIVJq2Lmddc9YurbtZPWFlqZuQfeXx0vmRiHRCryjtE6+xVvO2Vwz50j0jHjzsJglERjFIRFrwlYIuSVm7XCZRgY5bPVBUge6IPb3OFiPT/XyyoDjT3jJlc+Ge8xU3kyT5qL3shq+275VLr8tbvKxLBPlrUSEGUyEJt+r1RhopPSwWXa+plB01SaJT9sg2CbLkuzCsYZviPJX3O1tPe5MCOq8DF0wsXSVgp4coed4ZwPM5eWWQp61pxWZTNgV7NgC/AHeFtUvPWWNtJlWUivG8mCiJuf3+Ok8cqoPngXTBpS9saXJsObCqbuJUJe8qtGzpRd4AUaoRqVQXJm5aryul1YxDj6v2jHjZTY7Fh4lj8bHwGRnQiSgCvySzC1NvNyndZBSe8xrrUoJVFmkFyuKyn1YgrMAKkFYUUqXkfFW0t8jkSwnwFfausvmzAjz7bJkdmDqek1WRiYE4dv3oSmWySzm/Vms3ky/fRnty/8rSBchkis11Skm0l0x8yjIkB/56wE7ZOwN06iFX6k8E+d47+e7FWfNtpeGh2LpEqQlwl4bi5+6JSlC6BPBUovg64uBZwR9+vsU48qDhpfKEvDVNlXcJLjsnFbuogu3KVSsDvTLmrDSs1Nj1tLimGUh+4LUDPnNnkwOn3c2XGMUgUa7KMEmTPwh3TZJ0LMfESpKRUxng0hartUyBIo3FSneNrBQO4EYUsVLG5KZwxKoSlHwSVrlUei3AJzVBkdCpZH7X7MUJcWKJY0OQFn9Za1Hv/u3/sqleU//PwvlTlytlc61bnqeXsxSisg+lqEiINPgTJZdDiorMUEKWflam1l42Djh9VrJi+U0e2ciEssedP+tCdzsHpQru8l49RTFVuvuDjvJmBk+HJDLkDz7d4E++OA1BAKqGUpqGstSVTcdRkDc4e6XWuCKTWk5ESYrJsFQC1CKWKGzH7KYVkrTxt+iFVNIirGHH5pDTi5KHnvCJhZs8YIRyhCUmEyzVVTRfVWx5fRGVVSW/Ea2tQC93fko3Ri61Su5GsaHB2tXfTL62VPz4YgJxUVacbzKblEp7E4gSiCJLFJt0y5eYq66+dvMNN97yZT3uHZuu65XXzbYGDMKA0QhGonJLIdLaYSus6xjKPvQ6zFR+qxJcVti7LEnKGjxd6sqsXakDtxXtLXMwFJJElbS3ynd6KG1EpeyEJMkqBTP2jvB0xDNnJB/+SsOtd9Kxd965n/1+QWW8cNGCVw00RfmL0lJbAYcpJVtyhkovcpbVtBKTKBKVavFE872vHPCJ2xvsP+WBDLFCMko8NGm9SHaukxSeSZb4yaBakk42a0p0s7GyzybTay4tSOtkS6a7pXW/w5rUHzdO3pg17gnrFtdROmf5zVco3vXZO5Uo2T4+GXOPI8NonLDSHXP89OrrRvHxab1heoFALLM4M+bCqp/vdZl5s5bUx6S4057LAy97mpOAzkC/Xnp+Ur9VtphOkwnlfWQKDV5sFZjtrKYmwO0mspr02dmBShlU5nerGCVjVCpPEhXz6bua7D9YaG8ppPO+8w6aiYtXWnarXwtKp2TNIjzZgFzxxEsTqbQRrjZFFin8MNJcccmYN764z+EPB4SJAqFJhGYoBDpJ7bvsWuQNJyWbkEJS5pWjVqBsxmBOmlhrUy2eHsIWKX4BRjrgG1FYiGUparLXhjXSpUqK6+OqLOUqG1elcjpOjAN5aFhYNRw9F9JLRujOYEB/OCYx7sKVdwVzUbLTcEiBSHXhc5USltOu5T+Q9MJnIK8GI5OVg+XngrWzrzPWzsCeMXcOdFVm8kJ3qyyIzLY4kQYti6H5SiV4XsSRs4rf+XibkfTIJmgVXfPpClKugRZlps7v7ud8VJfv1M2w1U0CikBT5rXiGbgTo4kTjyCJ+edv6fOXtzc4fEaDisBoIuExFAKVFNV8shxsToA88+YtoLMbLn1PWpeet9iUtTNP3FTY3Ka/x0j3byor86SxkJ2qZ9Xiz37O1u63aXOgG+M+W7sVMzMdoR/Zv43xsEZ/eZHAT2+TSf8yXX5d0aUtPkWW4ylf03UDiZI9KNeyXqW5IbOVJlg7S6RUwW0KiSKrDK4r/nYK5orfXTqkY3FPh3RDw3s/1eb0hQCUTq1BmcoTW/G989esz0qT+0w+GzMV7J01HpR7NLMUvsyPvBlCKpJYs23DmB99U49f/UOfTuQCAmslY6OcbZhkn8NCIigUdgHy4v/dd1SKKGvJmVtlmc0sAJW2YHBbunYWx+TpuTDrXOv1/PDnAvl6UqWwrm3OuULA5lnJtbtq7NjWQD//8pBuJ+TQwZj+yMuTDdlykF2oXJdlOjI7PxVwP4tbUgL3ZIHVJHNnwC6ai4sprTl7pwX3BaBLTK5NyugmlyZOjpiSVMkYO86ftYrQQcTHPhPwnr9oMzaekydC5fIkbyqesMQqujv/2ysL77MyUkEUpYxmDvosZW/dhl6mVEqbuiqx0dR0zI+/tc8zx30+8GmnxUGRCMnIuIBTJuQMXhRgZWgqjN6yXelAXUgWa1M2FwWTZtdIZHufls6NzQPdolzWTOCACTIoY2nyzJVBXrorHamm18JYWOpYnjxqON836LOrQ5Tps3m+z9EzdaJY5LvMWqpYLmcLKoAuMXf2IWX57lxjF63P3EXrU6G7iyAz3aK7vGWgKrsOpiRVMjCXmFwW1YG57s6f3azB5RX4y680WBln4HYA96TT3lpU5Ull1clk3XoXR1QvUlFPUUpiTLgI+W5kplxKW6oTl+lmA0YTJ5opP+EtrxrwibsaLPUUyAiMIsLp8cnqwuot9+xM7vJARVIoq09RabBJyuIO0CX2tpMlC0XqvmxQFGxuK+Q4mbYvf51b1em/VRKskiTa+fWnVy3X1mJm50P03U80aGjFnBqyuCroDUm34J6Q2iWWyvR1eTmp2lFV9yAPvkoRdJUBi6Ctsn1ducYjDyzLDQbVoDIbTlOAO6kEmFmQme1zo0vs7TViPvO1Gvc/UceUtLdrasjkSbXeJG/NKrE3YuJvnySHdYBVbaK1lEtoTQn4edBpJcoWvniceGgT88KrQ95w44A//qwPKgQhsUIwNholhNuCJAs0RQHqSbmSWYPWFnVJNu3RzWSUlU6uSutubmOre2vaDOglSWpTmSSESPV6ehYqzkoqoSZw5W6K6k4SwhZNMEopdPpht29e5ca9Y669NEZ/14tGPP6M4QMfC9g9F9Osu/l0WV1I9S5bC+b1ggQ58f5avV3qOikBRlRmn9gJ96S0TXcJ4FJZdDpiTMrUMZE21dUlSZI5JrIkUaRzTwIv4vAJyR9+psW5nu/2u5Zu0LsSFDs2rLP6VA9RAfyaNXbiUUn0lJh9crOuyia6pTpxJbNnt/3JpmbCD76hz11PBBw+L0FEgMIgGQlZ2kTKXYMM1KJyF5aHPKX/n2cz0+tQZnPhXgsBVrqbwr1OQW0zHW6pVo3a4pwljo3dHJnyDVhyorIYIhcMorgx0lVeS8GuzZqXvWDEhRXBp+6poW9/SnHwSMDJszWmdQwoaoHNO2OkFBUGmrywFcDL4nUG8qrmXt9eq1TilRh7krnXgDyfkT35Osm1d8biOhsHrGKUTNCpLej7EePE8HsfaXPnw3XX2ybdFF0ppevaEcX8lbyZIPt8ZRm2DpOXcb6uniyDm6oWr5bPlstoXbuZyRyVxBBLjYo1L3t+yI+9rcsv/Z7POJYuA2UkceqqSCNKn82mq3FpqbauJY3S53Nfi1JskHbXWwdqk7K4xQFZpv0EJuvdLOHETsYtJfa2sIY0shskX2VKUkWIIifiabf79OyUYefGOhe1YxLZQy9eCEhGmu0zboJRnBjihDxLaW3Bxms11foaew3AK10dE9Lkudi7tP+8S9VPyBNp8/fcttmmJFHKR8beSTpQMs4Z3PNjvvqgxyfubDAOPajrXHvn7J0HtlSONcxdQnEO9pKcm6TvUoxJ0UhbBjdYlTK6qdaKJ0YijZMqGdDjWFNvxLzlZUNuu3PIlx5UzjZEgpBEQjOkIB0yb7wkV6zMPJZSCt/xelGXItNspgCV/n3Z55ap/LDS5mMETUln54DNVnpbOofYdbCUNjGnI9qKkXjFodKeW63dhK6zi00umWsyNVVHX3+J4kxLs3hKuQ06bZYadfZLWfCXs43rBYtrXJMyY1OWJKVa5Qlgu7vSpr2YtqLDM62dDZ/JtXc+CdXkr3PWzg5VgFun4Pa9iNW+5TN3NThwtuakiXAlsSLT3oLSBCm7Btz5OSgtp9Ul/7kfzgsXuSVXPUQB7jXDgYoaFSkV0iRIo4nGmr2bI97wkj737/fphGn61Tg9HqLI9oGQpN54pYy2WHMsLrmT35DSuS1FM0TG5qlUyRk8rSEXNmXsoo3N5q5KibHLrG5LQWf2nslMCzcd12bEO3GzSOF88LOLPiNZo96qoS+5aJVR2ONCN2GqLicylBm410+lrwfu9Ri7GkWv55qUt+WuMngGZqkyH7wILmUO4BLI5URAmSVyyi6KdJ3yhoQ/+myd93y8hRXa+d4V9qbQ3nKdz12WaqVlGKrB0LOxd7nkuOqFl2XK2lY2k6XtjcEk0u1PmrhdGaLEQyrDj795wKEzHu/5hCaKC5AbBGMhUSYbJJEt0SWQ56AWzg7BLQI5NkSa0s/ZPM1sphrfptfSloCe3QSypL0dwFN2zhumBcKW9HnmvKSlt+ASjjYrMyhbfbi2xA2zfU73Bwy6TfT7P1fn3LkBi6uWqVqZqUXlopaPTPusB+xJduPZgC3L75dGj+WjwQpA5xNNxVrHRGbgVpPypLpnvUr3nnEaPMLzIw6dk3zi9ib9vgd1tZa985rvYtUpJ3jylYq1r+EbJ3kKBi+BviRZynNLjMnqPUpAlxnQJUY6LS6lJooSWs2YN9864PNfr3PobCpU3YBqEiEYlj9pBm5bgN3moE7b6ijViGeSRJYKq/L3qLgkFaBLmyaACqCT2YmZS5IB3VZZHOmYHJnei0akK0W1Jhxh2TCdcMOeAfVmF711qoYc+pxrCXw/nZ+dzhYpKgHXArxcA7wesMtzBsUEsKsMWGLtVLJkwxzLwWU5sSNFeTB75pyYynYbsiRLpEwdk5TJtY4ZR4bb7mvylUfqbji49BzAJ9g7sy2VKAKmcpwx2ZKV4UZ8I2RXCb0K9NJhTJo9zHeMlmmtfsrgptDjiZCoRGKEIhprXnVdyKteOOTk5zzGxunwtBKKGM1YOLkhTRpCZpkSUew+rfJlKHNU3L1iBTnwbaa7yYJCB2op09rx9DoXDksB9Ey/51gpAd3hOpVQJpU8FEPokvS/YdKiqygRjEPJSqfOxtEM2p9DX3vFztW6Hn9+4Uz9Hylp810PlBLpbL9y9V5pqRaFNq4AW64DgtJ7BVtPyJLS6K81rJ0D3RQavLT7wKT+Vnn6PSm9jpHSdepIP+aOB31+7YNTJFYXzolUCCHdPkCiSMtXGbwcP6zP3t9EErNAdsaAa2SKrcgVQzb1Ki3GEuto8nQrdWE0cWzw/YSf+aEuB05p7nhAYnyRQtb9AZFRDCuCypZkyTqaPPfC0+Rb9nmlTRm8YO4sEM3YvEx6OdCzjh9KX2c4SbW4TXGBoLiJ8k8kiCmTi6u8jJIW28INn59vXLyqLt69vT/oLh2uBerHhE0cwHOQl3YSKB06r10uQJ81H1Q7btL3VOFnF3UkqfxQlILFIhWvJqsD88MUBVXPAu6yVNGVhI7rtTy1LPi1P5zirkeablMe6drRkB5aCuoSAkm6yZVdW7tdOUT+N+bTtWR5lIWrBZdqomG6pOuLr0WpVMGulYjZClgmDFleLSd2W7AwPxcTaMv9j/usDuXEUiPzKeJFxaEDiqgAv3y3fqOlSRRl1CXpVbYZi/tb5PdUPq1h3eUtGxEh1v22Iwn3M1EMsa1x+uzKDz7x1MEDWqdSxGiBCVw2aHIEQ9nlUGtkyiSL26okEe5Pqzgo5e/JEjPmrL1WmsgJzZ2z+HqHKgeWaSls+jrxE/7wU1N88mtNbE2BUA6dQjv2loX2Lvobn6NjPl+tMm2y7jVf44HbdS9SmdWr3faTHT5G2ooWt9YUNSpCIY0hERo5THjLy4fsO+LxrvdpwiAuAC4E1niM09oZkcoTEieMs0AuMwwzBlUlCZOB02ayJS3PJZMtuewo+jOtEDkWimJVkTP4Grclw1blBLrNhaXK4hRXcemqJbMONIu2xroCM7It9ihaw0SVOarVfs8C7JL8qL5vC3ZaB9hiDcjLW2VkbopJfe+iwyVncJmUnJQyuBNkqfbkSw8EfPBzTUZJOgVfZNagu7F9YSvae93UfBnolAE/IVfEBMrXVSkOIZn3vCajiV1TQmtlKbMpS86KUK4wS6bFWdKQGE3gGX7o9X3uecznS484uzDzxpECYzVj49rR8goqMyFTSgmgzP/OQV8GucQVXaXNFrlkyYFeXHtbIgiTk4ibqiVLTkoG/HJAm31MaV0tepKkySclqNXScl4DOuurlMLi+2529hqrr6S7n4uxqwB4FmBP3Ag5wMsjecvgFsVuAqqiw8vgnpAo+cal2RGjdMRgDL/y/imOnA6wutgtuaq9i82t1k3ssBbEpdiyAHKG5+cQ5JOTCaoZzXLxVVmPr61NMTKtOJRVFheJQQiNDA0Xb4v4uR/ucM+/DeiNclTlnytBM8plwlqQO+AWoM5uTpWycAZsm4M4tQ6lsyPLt4tIqkDPVkKbAd2WwV8CurV5Ga5Ma12EKb7v5J6gUc9KaC364p1zCKkIR30GvQVkOrqL0vUpZx3XuCSyyt5iHWBPfi9zSSpypeSeZFlLt6tu5oOXgJ2CPk/eVJI5pd150y2otY6IE/jtj7V45Oma87xlxtyFc+JlcUL6+ZWo3rSiDPYJ5nZvZOWh4ln5eg2TTzgnRQMERe9jOtlgTbWhcAyeB50ZoycSI9IjUU6qGMP1l0f85D/u8N8+Mk2YSHAhWoZGEhRjk2nxdZjcCXSUKGU5hdug15bZPGtdK72fWc+Zw7QW6AWb50Avgd/JmSIYzdRUziFpk4YxhvZ0gPLb2DhBv/o1ryYImpw+8QSPPvB5IlMjTly0XuadCjOX9LQQ6yzdeaAzYSNmLF1+PTE4vbyLV7ZzWJW5s9dJ4YWr8nbTVebWKkbXEr58X8AHPtaiM/ScByiyLcldk27G3lpU2VvIqg4vsm7rzCCshGUi/1pMAnqCtdfgvQJ0SzkBVLB2OhU2kyT52GWLEc5GTKRCWuPqVWJFu2b4kbcOeOipgNvuVW5z3yyXDiAFsZGM8qtegNziHA03kLbIcmayRJqUzXOJQl5sVWH0CmhLQK8M7yzJmiwzSjlhlMY8oigqcC1sltXumFe88nncdMO1dLt9dLMh8APJdNswOzVmte8jkCSi4JvJ9PukDFmrvW0V2BM6u6y/RRnUgpy1K/pbGKo2YcHcUhW2oEz1dlYlKGWM1DFPH9P8zkfbHFrynQUksi3JNVnFoCfs2mbiyaBy4mYvpMnkQJtnldzFOj1Ri1KweJFYyRshWC+NPzEkKCvEsibfVFZkUkVYhNTIyLJnNuaff0+PY+c0B08LrC4LLAHSy0EuSiC3GZML66I947SyMmk3jST9uTTQTP9zGatnLW02NxjKySB3UwjKwehaoGd/c47D0vkzBqLYstKzDCOFFR4JrtUwv5BZcl/K0lKag7u8VNtSbclaj7u6jUUpkJQlUFfclLWsXX2vxOJZUZUwJSYvFVrJQpr4Qcy5juBX3tfmE19tYD1VpONTabIeexd132tT8mVwl5M6FcktJkA+QeMV1p4Ae/be2pqUsg7PAF0OQLPOH5lX9LnXafCZGGIMnnSuSmcs+enfUJxfFRCUmVzgZqxIN13BpDdYlnZM2duB2/3BVlq3cUQOYlFi6wLkuTShytgVoKeMbkq4ErI8x9KWMFm0T5tUV2dDqtznFEhQeF5wbhR6XxzGWxgOXcFKloyZ9Kfz/eHL3TRlp0OVyldVlkaf8K0nAsb835Tmfqzrc5cqBsvp+LJrIqUDt6djQgyfvrvOlx9opLUmmSUoUwbP2Lvk9ZfYu5KJnWTukhbPiWCNHinFmJNaZEKurJkc5mrrisCt1EaWOShlPZ6YrJS2lNq3EmNV+p57HccaYSWvvnHEG180wBexGwdlYrDFYa0hNjAyMDaCyEBkBJF1O1/HiSA2pId7naSDeJJ03804m9ttJ75ny1sW2vQo5p4kdmJbw8RWfq6Yi+Les+noCq0MV+zZQKuuvlgL/HO+lqh3/tr/y4tf/LLV7kCtdnvJP1ldXcD3VLWDRpUTN9XMY769nLD58JqsXrvcYlZuVKhsSaeqPne51kSWgF/cGGUr0KRsnZRkiptzkkjDp+6s8x9/f4qj54K0iaFI6CA1QgoCCTXpBtlrQX4DFzd1lngqboBipFypo0SAlJJ8WxVRHdLvyo/lmtoeIatfTxayVcoYyitiWRaSDqCn+u/Lq2q5IhRjmW0nXHFJzMkLioMntEv45Hdj9tpZiia9U0UhwIolqnSHF555VZNZJ5rXeP8V/7/yXqnGZfJnyYYGlaOdNMkmDNdfs4edW2f/r5Mnjtz3qle8xO3RE0YxxgqiOHHRaXZhVSkrlq1eAtxGo+UTOKm9C61d/plymr6cdSu88AmZknvfpipTZJK7KFIW3TlZzYnnJRxdlHzg400OHA6gpXJJ4hI7ei17T4Ime11m7vIhMzxMZv8mmLvydSH91g0uEbhh9CV2L7koMq9CrKbvpQBjZCpLXAAqMmYXMnV3nFQR1pIYTTS2XL4n4ofe0uOBJ3yOLZSWqjzoBGs0sYvyCo0tcWWrOchTyYKzEq1wpFAJNk3hgFQkSSZdTPm9rBVQVFbKvM0txVqqkMj2a9LSuShRHBHHMZBuQnXppXvx/RqBlxD2jqRb51WDxkpwVfk6A2s1qKyCv1wWm4KYsqti3Ot1NHgmW2SmuZUrnnJfp9JEpEfK3ss9wW/9SZvbH6kVVYJZxjIDt3TSs1xzUu6xVCUwr2cLrgH+JLlVXqz/KAeXZQqr1KWUQG5zADntLY1wDJuBv5TpFMK5Kc4ntk6Hp0AXKIwwJAPDy68b8y/e0eU/vX+alWEG7JRuTQZ4TZzesQWoSb+Xet1pcKkEuWeerTSZvM+SO+Vy2grQSyB2dT7lTKbIK3onE2w21W7Ck2zZso0rrriS/mCY3aOwYcMm9lyy9zaZXPi1+VlN3U8I/NIWH6VhltVm37K+zjZDzV4XskJnP1vS39nXUpazk6aixzOmzmfyqao0UalzkmUrlYoZCcvvfbzJ+z7Wohd5TndnzJ26Jm52X9Gtk7kmqgxc1mYvK0ydgbkcSObdMd8UvitMXm1Zm/DFyz9TSfhM7K+TvVfuxLey1N7mOn+MLfbgbGn4sbf2+PG39Kib2Alck2nyqKTNnSYfW6fLQ5vq8vQ5KWvxpNDhZW1t8p9zP5ukxWNJSb/nWj6p/puKDk/c9+PEhQ9hDP2xIbY+R09c+LW9e/fetnnTpgLgGzdt4f4v/9Kg6Z85umE2ptWICLwk3xWh0Mh2AqAZkEt1IuWKvwlgl+tJZDl4LDUNl5laTcgRJRNEXv5aMLhMbUGrDfsO+/zZbQ26kS5ZgkWnDkIiSDOW+VH481mb3LqZyrKOnXguv7+2JOW5oV7e97E6TkLkdeHZqOBcouQ3QnnrE7nm63JfZ2JUCeQKaxRxpGhpy9tf3eeKS8fIJAN04sBuM7AnYF2QFxoYGwjT4DNOnxMLiXXBZTwB+rgE3jKoM6DnN4Itf68cjJb/rQN6nFiixDIOLb2hpTvS7Du8fPQdP/GfBtu2bS0kCsBl17wJpetcOPlVzpx4gDCuEycuKrely1TZg1xQFFJR9bknd7ytlskWMqSQOJPypJAmqsTiMvO787rvFOBewuNHfH7y12Z44mCA9WQhS3IGlyVbsKg5mdypYT1rcD2ZMtlvWR4bvUaufDM0XqiUEmNP2oXOCpNpwsWkw3gyyWJEWjxnpXs/sw2ziVnW+eNCKBJcYZIILddeEvHun17lx/6z4IlDaXAiSx8m3xVckSAZm0KKGGHRJQ9cpVLElF7nZbXpfzKvSylLkLL+tlWNXjn3pXNlrGPylV7CDTdextv+0Uvp9Ud86Pd/vgpwrz6H0k20H+B7IRA4cE8y2CTAhS0BNXv/2YBt1pR0Vn3xMrAtouR3l8FdSBfH3Noz9Kzkdz/e4NGnApIKc2fa200FyQNLUc5QVjv5M503OXdwzViIiRPPxOtvhHA7Aewywm25T7PyfpnZJ2rGrZvbbaxAGIFJVyuT6XFs+p5Mr5FCGEuCQQvL9VeO+d/f3Odn/ptHLxbglYFdfW1SkBsBfu6ROw/cYNMZLI4cZZr1dNnIwgXK67pKhGJEMaSo3KCcgX4S5MY4iTKMoN6osX3LPJ3uID+vBcC1h1cPDl3o1g6fXWnsafoGa3V+sdZ3SzI2LgO7mnoXVBM8k+CWwpSymdnrjMWT4jmXK9nrDNwxAyP4wCeafPTLTcZKF4AW5ayls+g8UWy5l9WbTGYtn7VSsBxMVgJLkYN7LbK/kTyZZO9SeSpVHW4gH2Vc9cbXA7woAG8kRhqEla7f0To3xQWgCmENibH4seV7XjVg/3HNBz7eoh/hTtizgNwiibLPbQRGWnS2sqTSL2dwgRuin4EYRyD537Qm4Ewn1VZKPshKftLEZOaiWK69LOCy3f5hZP2Q0nF+TrM2O/7jr/wGF13+ssPnV9obFxZHtxL38TxVTaWXfPDMz640B2fv5xo8/Z4q+ikr5a8TXneh86v13WVLMAe3cMN8+pHg/X/V5D+/b5rzy17ajVFMpsoLqqREC9fI4FcaGdJAM0vy5A0bRYlwfgPIUp9q9nXl/erAf5n539l7YqIFcEIKFT2rJY9cpJm8ys+uUwPE2psye69wHuwaB6wcWwBMtRNecGVIdyB46rAmjEt3ckWP5es6FkgqN+eEn52/V91jwma5/MrPlG52m/03qj+TfWYp3OVuBgmvedFW3vSqi3477h98797LblrL4ABX7GrjebXPHjX1N8Wj+nVxHKL8jOkKG68oc6zKjEkNXqT0yz9TaPCqRDGFPi/LEpFUngsWT5A1yyc/2+Cd721zbkU7apaaSd1d9rzzisFKCXApmcKzed+iItWKAqvyIb4RYX9DNi/viFCWKvBsqXvSgitco27K2hmDZ+8ZI5xFaF2njzAmtQxTFk9hFIWWLTMJ//5Huix1JR/6TAtqWf1JSreQ9m5akG6SbZKytKtwBC9dgSTFLBWZjXcTWfd9Wv5qRUWqFLXh5DKlqCQkLw2Q6dDVRj1gYaX26Inzmz6b2YPZQ5a/ePFLb+XEoS/dpRg+mM15q0yRUqYYvlPqYpdlJ0VV2VerapCYpdXLwaOqBJRJia0LK1AKgxJpAZVIUIHh0CnNH3+mydkFz7n8opTMKUkTkWruwjmxaW2QzZM51eDSrgHvRNG3swNLX1esk28C5PYbfK9wSyZ3ElvHIydL3ReuSp7Kz1P6kmy3iMpGs7aYVGuMdM5KKNkyn/CO7xywZ0fobBObOSpJ4bJUHBaDsRBZ57CMjChS/JbCUrSZ85I5LEXKv3BOnu39kv1oi456JSWd3vDBD330s3e98pW3Vs6lnjy5M3PbQUj6ywN82cfXBYgnqwBFhbnNmuRORaunjC2wrHVaCudE5ExuUBl75yBPEzq+4fAZzS+8e5qvPlSDQK3D3AWDy0n2ngD0usVUZT0uC1/82SoJy65JNSivSod8yZ6wBaEYgp+hvArk8t432e53jhXXzlOpsnd+pAkgYQQWmSaCCuniHBYFWMzI8soXjPjln+zw8++e4sgZH3xK7D1Jj1nkIIgR+T73iRX52GklsnNfuCU6cwAAMBNJREFU6GtHMKJCLhnhmEyapcxfaXaw2fAfQxDUuXTPLky5xvvZAH79DbcipAoPP3meYedM2uFTDjALS1BUZMY6wKdIwT/X+1IaBFX3RIqSPCkD3DMcW9D84u9O8dHbGoQi7YxeB9ikS2G1znu9SsF1pgNkkrMUzOQALn9vAtjP+ih/c4K+C71Zckwqz6WS2ezrCrAz6zDNbJq0HDWzDfOMZwZ2mcoUV5hrhHQBJ4qsPC8xlpqOedt3DEkM/PxvT3H8QuCcleyRSxYLVqU2hzv3RqRMLRzIdBnolopUybZZkbb0XiqlMqC7LvsiZpAJRBLCCKbnN/Odr/+OMIqSbwzwqelZlDf1b7fv2Hbl6tl9L4+iARaVM4S72GttvjWMnTIxrMf4hdbO2F3i/o3I6k9kgigB3AWVhuMLmp/571N87EsNQpluvVaRJuXDFUFlw+vzzaye5RCUA7hncVHSCH+SqbPwXqTW3N/oYScZe/39SZ38Lfb2Kb6uJoEyQGe2IQikkHmqX1iZ/8dFepDNSEFBDJ5OePtrh2gFP/tb0xxf8KuoybS4SP9Nfme6VcJaQShSoFvXsKxTFlY56aSgptwDm+7DKWzJZUmDzfQcRIml3W6z46KLv3bxRTv+7dJKb80plZNvaH+awYU/77aa8sD8zDhpN0YEXjbPb8LZmJwsVRp0mZe2ltyPsgYvvOxSXYnKZEmS3iAFuIVKOLOs+Pe/PcXHbmsQ5uV46zF3lb3z5VHYNfKkSFhVK/HIfq4M5IyIywgW5acS3f91UG4rT8Xrsk9eDjDz90S6Z1J60an2a1Y1+MSUrPxnpNPlJT2eZTqNVSSJRCeW7/mOIf/x/1hly1yU7o6Q6fLyUS65Teta03pfYyC0Rap/ZF0ZrtPqECZZZjQ70uxnKTOaHZERDGLB0liwHOmEoH7g1z/wxe78bPsbM3j2SOLlnxxacVPgj653f6yXn/FCM5eYPNPYJRlSyBpTYkfDWvcl1d4pqIsVwIFbKkPsCd77qSYf/ULK3EI+C2sXgWXRyFDaw70kT9ZabEVw+WzjIarJHVFh8GpW85vH9npgZoLJ3TdE/o0qo6eF/5XtR2yFxYV1607G3Jn2tmnWU1ibDrZ0ckcYhSGVLVg0hre9dsiBo5pf+8AUMVBM5swe6d43pLvHijQVms1MTn9/2rtMLApZoii2iFEUJcgVlk/Pa2JhmAhCk7Brc/j4/9fel8fZUdx3fququ985960ZXSNpJBBgEGAQYMnGZrENtlmDwc5h7yZsNiY+10d8JBsnn8TB8bU+kqwTX/EZ4tghYOIPEfgAgcAYQ7iREDpH1xya8x3dXVX7R1V1V/V7M4hDCNjU5zOa93r6Pb3jW9/+/u7JqalrOtvbm36+TQFe6r0S//pvX+KMni5P67tVWa3ceFUslyEVrruPitSI1D9IwK4ADmSBbcsVkRqaRLM4E4BHsOXOPK7bUkSdMk21zVhbgx7EilgurL2TEXtNZYgLaBu4xGHtDJwzNxcDekOQx7UxXY+Jo8Ot6b9SuufItG5SgVnqDETN5iYKaoCtgS50dFPJFVUdZJpDEKLAH0Diqouq+NVjPv59W1HtNxNxkVJHi2GBWxdsEg1Nc1v7tzkh4Eg/b0rU/+gRNelN5eer7EnPMvSZ/l7b8jHe85YBmc+N8jdecuWxAxwAzj3zEkBWrovHdoxMj1dLhBD4npYPSbIUT8rHTJQyAS5SQKfzV2xmT8+lyWOk1t0cFALUkyAe8OOteXz4i614dHegIjULMrfS3ZQ2lqCZTMG0WkdaGYMZ49IBcbYftbFDkLB2VsKYxy7mClzshDR9lqQ+8ATE6U+ivU0FuzTaGlpTGykiHW+KsDwqthYnQjEuAQCqNLlIjnugkuOUVRE+974ZfIgB/7a1qGQ30+FNYYxMAcXiwgK6drvYl0IdvjR2gyBADIKIKK3uEyCAHiEu0mFjPgPynsTA0CDO2/g2FPIBgPc/PYD39Q3L7Q/+yxfD+vnXHBy/s9TZGivNDT0Hx4udekgbsEanqsIIK6ZFzG9Xxhj2TqUKB2USxCO44fYCPvbXGtyBxdIOc7OEuY3P25Yl2cY9zdyDzrydDJsje9tiaDS5vdgxB9zNNoI0yUnWrErNzMjetzMPLX0uIZPCg8QHLoTjSTGbIwG8pPqYtH6bnaTGUIGqxKyTVkT41LtmQAnw49sKCrhO2ymakSimLayAW7WgNzHsD1n76QlBTJT+5nrfeFIRVTGQaMkJXH7hSdOFfNuX8/ncglyyIMABwC+fDs5mUYsfQRRPqLi/7hLl605RJkBjyw1jBqWjMdz7znkmF8V6DsoAMIIbtipwP7wzAAKWssECuhu0mVvQrcxxAjlZSbLQMbigzgLftj6T847V0LQjl03AbgCcAplASuHmjhM4uts0wUxar+nOWQbcqZTRvnAnQUsxK1FiXMkTmCuGyl+hIccpKyN88g9mICVw09aCeoHUet3EemOEQFUlZ0CdWOzWp5v05aCQhCHUgAfUOEQJdUUe6m/BOWesmZ6ZOvz9rpXDC368iwK8pa2vzqPZ3x8Y6P8Biw6WckGIIIgQeKFm8NQLQohIJIhZJPMFG/Y2txONTrQfnEgQBkhG8JM78/jol1rxyG4NbttjAltvp16ThL0BK6jgam+SAbvtDnQMyCzYG4xIkmFy4n5X1l+aAT3r6lZ3DFIzkUqSgjtxwTmATiOayABdSFWEIRzJYrG4pc8FVdJFKjiCUDVBWPXkFmpDmNcacpy6MsKn3j0DIYGf3FFQr834xZNcW5OdRdL3mAWInWSSMHnqSIiJhwoYJCgYFcgxif6BwXkhye8vGxqoL4bhRQGe9ybFkqHl93S1nzdzdPe2UrkwC49FSa8/SlKJYrQ2YI/7JovoUCvoYzYHJRCM4Oa78vjQF1rx6C4tS5Jw4gJGpUYkg+sWzPY3ycqUFMiygblh9LYjSTKzeFIt1sDyWYw3A3ez4zLzd5k52JAjbp2XanHtBxcK3Il3RahckVSWIDU0qe3STqOhkEwzeZInm76gUGD9igiffq9i8i3b8uCAxd4klSkNH4hs8maR9gcnBDL5jj1w4WM+9hBGBJLmcNFFm2dWrlh+z679k43hy2MFeKmlB0AwHlbmr5ClU36+59BN/mAvQXtJQEJAMoHxSYIjk9RAFuWCxJL+GNSXCKDDqiINEjnfvQ7vGzAJRvDTX+Xwvz7fisf3+CpCk4A7vXQp5nYjlsZrotVNBsxW1l0TT0nT+xaGF9LfWZw3/PEYlxuyd8GuSMKSGjIFvd1KQrvDG6WKHe2EtCSK/TcFZpbc1m5DSSEFh9S9D6HTopPx2UJChBInL4/w+ffP4F0xwc/vyYFTk5mVXnEaPhBtJTNI+JCgnsTAAEe5kI4HPzLhYfqoB0IpZExRbpNob63h0lddGM3X61d0dLSN54ulRT/bRQFOSA6/emQ3ujtOHb1jJ5789N/tWLuubx82rOEIuWqQf8eDOdxxX4AIEoIDwwMcb3hFDa1Fjgs2hDhjTYRyXnlIRAz3cmSu4FRdHrfcncP7PtuK7Xt8lRnY1NdNMz9KKrDEuExzvO1Z8gngsTC47SBPwt6OLHHBnhx0/q6Q5rD+QsBe7LhFgs0Bv4hnBc184TKtrMl4V+yIp+nSQ8zwHc20JHku11igkgORxMiyCF/+0DTe+9lW3Hp3HjxJ7oZlWOoVq++hlOc4YyTCBRvqaC1yvOGCOoYHuKq3BMHW+3zc8WAAz1PBn9NWVnH2unb0LV/zZKFt5WhtbgeKLSOLAvwpeeaXD+9HPr4Z3Z0dr/j+TY/f9oE/3Qbi+doX7QGMQjLrKxAcJBSQUmD5YIS3vLqKN72ihpNHQnTkVQmINB8cISCeqvS49Zc5vOfTrdi+11ftxEiTYE62iIEqeaIKiFXrY1PQ4OnEKo/KJM/b08UZDXnfxO55YkL6xO2NrvO9TdP7pGchJUlvFHUeTe9b+d+mR0p6P42cJg30Cax+NKaPjMm3t/qzWDn69rAAqg30bH59Y19Ht8lSmoYs4XQwsKLP2aizyQ2iRLmNCZWAR/D4Pg/v+XQrfvrLnNowngVuCRAh0V4QOHkkxBs31XDlhTUsXxKryRWhzmjUm4x5EvCESuXwBGRYx107Lse+6bM38Wj89rdecgFYftUzZ3AAePn6IVRrc8jnSgeHlv709pPWP/aKJ0dnUUcJYAESx73kAFRFtmQqjXLPIYrPftvDD27J4/JNNfzu5RWcvDoGIqi2Aj6wd5xh230+PvGVFmzf4+taSluOWD8wXpQ0eEA0U3tAQ8N614siGyRKtnNsM4OyWeCnwQHg6JSnQx8Z2j4Gve7IkYTFSdJtNQ30NMlbsYNBViU+SWSJsHJZ7IJnml4uoNhcSRbdL0eq2e8klli3PMYXPziDP/lKC+6+L8DecQb4Oo8gAtatifC7b67gik01LOuPAEHAqwxceOBcpwgIlWMuQ4BCIPAjhLyCmdoQ1o2cfftZPa8/GIfzYPnyU36s7CnPAPAXf/5J/PY7Nk2uGy7NdrXWr9z261HMRx3I53LwPA9EV89Iw7rmG9dOjukZgnsfCPDYfgYIYOkSgWKrxPa9DJ/8Sglf+H4Jew97Ctw2gKnlNUm8KGl1fMLeRE1lUJEvi42TWks4v7NTKhpHhaRVNwnAqZ3SqdM4KWm4n3ZONbdNVQ+s+673piHQZDw9OnpHaGMRhv3/ImtbNJyH1DmhNzWsze2k0Cy0wYnxfFmPBdJgniEACXR3Smw+M0Z/P8djOz1MHqHobOe4/KIa/vC3K7jqdVV0FQVESBFHPrjwwbmPmAeI4wBRFCCMAoRRDhEPwCjBgQmOBw9fgkNzp39w156dW9evWX1MvPGUDG7WqpUrAbTeMzxcuX7DadFlv7x/P8p5xQo1TlDhFFVOESdMS9J0Sh8IGceWO3O45yEPuw4zXHJ+HV/6bhHX/SSPGqcKpW6iR7pRCFV7MWknpZ6fAk0q42VDAYO5n/2ysm7D7H//VLfNehb2pWJl67dy9UlYHkHt1zYUb82otCogjNGYJl5J7SXRnomMwenmrOhIojCjTDR7U+rWeRpml/q4DvdTSFUNb15PDPR1cvzWpTV4HvDF7xRx6QV1vP/tFXS0CIi66XvCIKSHmHuIuY849hDF5rc6LiRBteahWF6PZeUzrt89c9o9hWDimD/bYwY4IcO444GDe9ae9Kr3rhrYySrjY2+oVmuIBcV8SBCEKhVzLlYTk5VjX2eZEd2XywemjjLcti1AtUpw0+051ATRifQGGjT9nTEm02NIWMsk6CiQ2jLETqhaIEoJ65gBpmFFWIB3AJ0an45ssf9Mni7EXXdgaljqRKuMIYmsTDEGI6xjur2xa4BKS64Q9z5JvSvGlag2Ck3chpJQa1NokCONWEqTckskREiQDyQuuaCO0UMU554RoaOdQ1b1m7UaEnHugXMPcewjinyEkY9aGKBa91GPKDzWgZ7CyhvPOO38954hd+0ldPiYP1d6zGcCOP+0ATx2/917r3z9hofOOXUAXWWBjhJQCiRynkSRCeQZQIwBaqSE0W8RsGIoxtVXVfDKc0Is6RGZqBawIINn2duAG809JsnlP3O/IZGKLA56AE0Z3H7NWUa3H/NUdJ54TJoBXv+tMQFLuq5C6zHZinv3eKaJkOMyNN1sqcvWmXRbw+BJT2SkqbnuC1aupANjFLfdncPf/2MRu0c9EN9+jzTR3JwzzeQewthDpebj6EwBB8cCzEbDyLWe/9CeJ/7jaYEbeBoMbtaqFQNYtnTwU3v37BoGn71q596jmNR55j4FClQiogShZM63m6MCZ5xexzVXVPHmC+ugBPizd8/hD79YxuO7A4XWFC7pbVvTW+xtp1caF2A6gbgJe1sboFk1eYOf3Dpua5fs45xbpBHPzc5LQJc533b9aaWSnJDmn5jwvGwC7NQvjiTEboXtrfPSQI9lhOrWD8QAm5pzLRZH4+YgyWtN3w1lwKM7PfzvL5dx672BilMEwDuvqGDD2roOuxvXI9XgZuCCJp/l2FGGatyFvvLK6/qHTv/U+Njo04Xr02NwAFixYjl+8u+3TvctWfY7p6wub71oYwQeRIg4QUAlCkyqhD/zZoVAiXC849IKbvjMFK56TQU+F2CxwBs31/DmV9dQDHTPLgcMaQ5xFugEaR9BqsFu+7Kz+SdNWTprmJlntvdWE2a3X6IrUTJXomNV4tmAXiYnJfF1Z8CMLEuDNAG66V2YYW/YAAWyGlsIAtHwfNY59o/R5MpPpd45BSohwY9uyePGnxfAGUFIKa7bUsRlH+zAN28qogaAMaE8y4KCc6Z0d8zgeQKhmMMt93PsG/O2rli+/HfuufvW6YElQ8cf4ABwyesuxhlrSeX1r98crl8XgXkxCr5EKZAo+xJFpiJUiARKiPCON8zi2nfOoLslhicEJFdRMBJLvOPiGpYPxBmA2yjKypU0z4QR6ehtw94LGojI6HG4T994LpINRbLAt2C8IJSfqbVpgG8jPxPtbAZocxwNALY2iWz8m7A3BYi+SmiQIy1/k81+EuWfvmlCCXYf8vCtmwuQVnAhIhRjMz4++rdt+IcbS6hDIMjFkACimKEW+qjWA4Shj1o9wnTo4fzNF4fbR1E574LXPBOoPn2JYlZn3zIIIX65+44LN+blPYW21kjt3DowHwPgHKt65/HG86fwsf82i/YCEIcekhwUIiBjiSVdMYYHOR7fl84gV5+TDezGqKXdDTbL1qnXJC1oyDbGcXJRoK44WXA3eEtICnpzP+tiM38lmbdyrPi2E6xSIEs3oinTY8keaJKjYrM4sUP6AgCTKftKkRieyBicSuK4DA+L+dPRaun74AJ4cpThwLieGpDELdQXMzXv40++6qEWT+HSjSF6ywIR9zA7n0el5oNAopD36le/qXfr8PDyXyZ5MM8nwAnpw8Rk9eObN75OPvHYkfdv3/FEnhAPU3MCY/McL187hT/6zXFcsD6Ez3Ko1ol+fzoyRVRgqKUscOnmGu74VR5TXMPDvuSDOEgyksRxBya/M9q7AcwL53w7BmEGtIRYGwCZc7ObwH58No5vgNwkqJMcs3V35txEhxPXPYgE7KZHoXq9jjEKF/xCEBBmZx0aTU4StyIyIFePgSVRGm8TIjHDCW74RR5zc0wVqCTxDO10YAQT1Tw+/ncF3LxtHh96W4glHRTjRws4OushjDj6B4YnfN+/bM2yrsZK4ucD4ADQ1VkQP/qXGz6xdtVA1FkOPzI/eyQ4OAG0dtRx+asinLcujyguoB5KN+wrY13qJEElx+mrYyzp55ge9ZJ8Cxc9KdUmXhMD6kx9ZbMgR1O5YoMYjWCnLlLVV0js+ynoXSgTZN/CgsswqkRzljfGJiz2hZk0Jl1AW1X2Sc64MTAl0skMyfNI9++ObndzVJKOCsQFvc3cJudGEoLRgx7+Y4ePNNXCnkmaDt7lguC2B1vh+fN4y3k5TBwNMDomsHRoIFxWWv7VlnI5fDb4fNYAB4DuNhkGfYPX9rTNhqOjo382VwNd2p9HZ7Eb+44UUQhCBEEI34vBWAyPUjBmLvECIhQ4bSTEupEIj+8PVLplwtrasDRheZgUWNlgSLotByz2TsDrhuUbwA1Xlzua3AJxg3TJkHQDUBcBuk3kxAY8DFOn4LNZO/Gw2IEgaQHWgNfklhNkZIsNZCQptulGcW+7VfnKo4KsoalfjiDAo9s9PPi4b1VgeVD9IgOAqtF+eUbQ4kmUAx+zk624//EALaUa5iJPIOj4My/o/Ny+Q9PPGuDPXNzotenCN2F0YqIq8suuPxKeKu96tIpqlWDsaAFTMwVU6gHCMEAY+YgjHzH3VN6BUP5PISg8H8h5wtRCpF+5yUfRd03GYFJbiUzpWQakTX3bTWRJY91lykhZf7ktoeyN4l50Gvj8KZftKWnwpDi62jYoU8PT9q7AGIuw2Bmujna9I43gt6VLU3+5zeRGm+s3HEYUcWxyIUzXsQBgPjxGUfKANk+gLRDoKQn0tVHkA4azT5rGNb+1Rr5m0/Lruztnqm+98r8+W3g+ewYHAOmtAs/17lgy2HLNpa8O/nZu7GGqRkxQcE4Rc9VwPf3WJShhEJSDSQoInvES2rqbuMYl7Pk5ps2D7euWTeVIM+PRZfgUkc1Y3NHlQIbd4boYYT3HU0BcWjLEoDapF9HAM37mBpmSGITpHMsUqDIZmtpY+dMkVG8fB+B2z8psBlMFlAW3EZjJh2rnDynmLjGJIlNFWj6FHiGj3mzv4IVi7doV1xTbh3aATz4X0Hz2DA4AV7zuVKzonA5/400bv7ZqsPiBZUOd8FmIfC5G4HFIEOXIjz1EXGeNmWaPWb3d4DlxI5fGuGzWX3DhCGZaQd8M5PZ/T20wW+A1mtuclz7GZetm0qUpsO3bNgs3O8di5KbVPci6+zIuQmT94OnfHYaGBXy4ssROC8gydypVTPU8UoBDMTijBEUqUaRATo88rHOCakQwX43h59pwYLz4gWL7pq+N7iMh8c7Gc7GeEwYHgJNOGsH4+GG++cKLd47uvm92Yt+NLeXiETCfg8cFRMIDF0pLMmbArcLC7lT3jFawfN+m1tJ1AbqZbc1cggsFeoj+IhqPk6aPs8GdsUETT0uztZgB2XDYZmqLsUn2uOVKhNbozat7rMinzD5/I0sLAp1sBTWx2GZtEDXBQbpNPamzqTK7VJOUTwmKTKLoSwRUIpLAvOCozwn0dbXhvPPOn910wVk7Dx8+zIeWPb1w/PMCcADI5wtgcvbGlavP/IOB7vH/8/f/NNX50BMVvOmcIga6CAq5UPW18OJkYFLypSZIsPK+kfYX9KDD8WjC3MhocXtvNGPvZnLDeUx2E2TPJw1S5ikB/VQrG7o3GYQ2YJPz7JzuVJYQuMdBMgB2gkPQz28f06Fz9UxOBb6Qupd4NoKpvTWQprmPkkrE7GCiMhR9AuSYRNGTKAQSfV0xXnnOJKYqHegfeuXkeeee9b6Dh+du7OspPYMP73kCeLncCgCYnx//dmvva7zuvvKngp139Bw4Mo9CEIESgZwfO5qNeRI79zHs3u+rMqdsBqFlXNq1lnYOdUM5mgZKs/pLaMDa+dSugUoSUC/E8ED6N8DV3ym4G+VMA6ZluoESlraYm1i/tQ9Op6Wmj2/G9qZMrKHrldkwGcZOS9IsLS4IBDObxs5ATOf/qJEkuqehzgxkkmLF0hjLl8XYsV8CTCb2k0+BvC/RXgIG2gKs6BrBOW/YOFbuveAPpYi+PbJ6yXMKbuA50uDZVSp1o1ol33jrG8//6BtffcoYYwz1kIBbmjvpRehx3PWIj+1PBJDJbJ20eX0qTWSmoLh5jeVi/U8Am8mbRC5dVZSCGylrJ6DNGqMp6psGgxYEOdIrWALO5G/NPBwpGyuQkww7q9HbLmuTFNiwdXd6XoMWt57PsLVqkG9rc2LN36SQkkEKirXDMc45KVSdMpMoqfo+GAUCT4JLgsg/dayj/8KPMtBvdLR1Hg8oHh+AA0C5pRX3/mrr19rbyx/u6+2fBNJAj6dnXvoeR60K/PzePOakXXOpGJyQdDKDR5DWHZImUUuCxuQqC8DIgtySIw5YgYYrQdOQfnK+1R9FHttn03RJ96ZdvNAQfkfjMTQ9ThwAmyANLAbPdp51dLtIZ2wKG+hOR1qip0ZQcJ00VSTAq86qIV+IAR5DCo66lAi5nofJBQb6ByaDXP7DW2659WstLc+tLLHXcQM4ALxi82tBRPVbvf0D7+4fWDJbCKpob6mhpViF74XwvBBH5wh+/WgeETeRLmV1E0KTcrSGLlWW3na0N7VZXDrAbTA4kRJs6jkhzvM4BEyymyWVIImB2aDjLU20CKYdf3eC8EbvisPUQIMhaYv1NGswVcQO+LHAxnDA3ugHt1svJ+NPpG65LDwI4SGgFGetq6OjJQR4BIgaarUYY/MUkxWBpUuXzQ4ODr57Zqb6rcvedOnxhODxBTgA9HXVRVdH8bqBge6rO7r7aw/vmsKuQzUUC1WwHMc/317AvnEf8Mw0NB8gDIwCearGjvh29bulwRtyuzMAbhaqT0LwTSSJC377HOIes7ws9nLOs483+VxscAFZl6ANQuIedzYBsWSHDV5bkpDmMmSB4I3N4llGT9jckiVcFyvYPzH3MNTNccWmChBFQL2CkwfHsXb5IawZGap39Q5enc+Vr5uYwaJNe56L9Zwamc3WyMt+A5WDf80L/S0/vOWWIf69X3jfqc/cn//Ue+YxtFxi7xEP83UfICqUS6gHT4M7IOmoP7e/t8XeyHhTkHUdNpEbTZmdLHpO1oOpDqX+cQfszcC/0Adkgjn6JGkfIymodQJgAnqhjc0kCESyJWhNXIJOIEgdF1I/r2y8IqQhf1hBIxXGh6DOe4vN5859MM5RysVY1seBusBgXw0fedsUTlpzSj3ffcVsobT8Ts7n+doVx0d32+u4AxwAigN/gPd/8lt8//zbfjTQef3bLzxr/pvthYkiYgFGpIpyUh+EesgxkoCbEZe57aJio72pI0ueGsgAWeRvlrSwZEbT37aGt/4/E3VN/p9mmJaNG8AOu2uHSeJlMVl6yeNkCnqi3XJNw+0Akiog6CGs0jTLd0FOMwEjIowf3PydqNZvlKrxwhRpeZvxhet363EfBBE4V088Oe1honoelg4OXN23YuUWwBtPJ1od33XcJYpZn//Y23HhSf8qrz7rhh9IuuLqnz102vTYWE4l7lAK4gUoeRStnkSJSeSYRMCk4x60S9GaVutgEfbOnAdgwfMSyYJGADvs7TB/pjAC1n9iLSePxPlDoz5O8ktgRyoz2tl+fKK1G70v9n/a1CuTZfDkeRolixmDIoRKw4hiTxULhwHqYQ5R7KvxJ9JHT4+Ha36zZ/y1F1+1ozzwrt2Ts/wwIYQ/k8LsZ7KeFwY3652/9Xv4xnc/g/0TPd/fI8/z16w8+XORuK9LgqHsMbT7CtgJS8FmNWtQq6XDHa2d5KYsIENsH7fzYzhX/Wsfz4IYaL5RzH9ib5hkLfJdJnrabBxLsqR5JwAFQRKthNbmJlUWqX+8MdqZ5oWnAaJmt22QSwihWMTkiENA54/rKwAybkj9mmPOdG5JBX1L+vDOqzdPvOfN9Q+0Tr7sWzGThLHc8wm5Y/HUHp8l5RgA/3f+7/d+du3nvrGtJ5ybR3uRglGpBn9yNXjIeANIpmNsMlKc6KIR2/gkVjMf5zZJxmMnj7Eb/RC7mY9pt6YAbs4jxDT4abyf+taJu3GcKwxpvJokVyh349lDsShNE8mcxkWmvRuRyTlpWzg9rtE5xzRDkul9+3Yi+9K2b0nLN+v8pG+4IDqpjoELAkolCkEV7R0eWMfrxmZx2UcIoq+vXtp6QnD2vDK4vQjpwfjRytevvOS1hMryX/7rjbf0VOenQQhDLSKohCobjhtGM1E9pDLE9pI0tGFrAqwGz0kz4xJwwJtqaQvUsM6jqefEAXDyPpu4HGHJBpKydvYkpXnV+0yCO1ZOidHSQrc/NucoY9MK4WeLIRJGt/zlJGVwIZWdY48nTEOqQBpmUoNe45ihWvdRrTNEkUB7ewd6VrxyrGfwlR/tA/86oScG3MAJBDgAdHcUMTsz/7W3vP7l8UAH/fztt9/RsXvfGMZnBGqxAndsHEmEgEqpurgRNPjDHWmygERoGrhxHkecc5F5PntjmDZt6hxXypgHLvQ6jLFog9wV5Po8I9V0NY5qFEaSrlVuHYRbp5mt+nFkCTGuRMsANUZlRh6acSbSupISzeTmvUhJUKszTEznQPwerFq68Whr74YPRRH9hyBXPJEQO7EAB4CW1hIEj7796s1nT87PjK1auXL5X13/k7v8qSrD0VDpOZOoYzqt2AGe5FJM4LA6sIhLELZubmJ4Ztje3gAqEJTtQehKD1vHA6kMsVeisxcBuZmNIKEdFxQNxqPtYbGTsBqyCy33oaFrcz4hKfNDqPckrNdLQEGI0DPXoGc0cVAikQ8AziXmqjkMLD0rqkbBhweGztxJSOGmIHfC4XXiAQ4AlPni4Ucfv3HjpouD6SPbKy0t8m/+5od3k0M7qrTOC8gXPFAikWMpiJkV/LGDOA0eEnMHSL0jlickiWJa0iLbZJM4fyOuXMmAO6nTtGWJAa8NctvXvUiI31zAEpniyBDXoEx3DZoYkkikhmkaZINfbRKS/H8E+sqRfJ4kufIwKpDzI5SKNURxiINHu0S+82zZ0rXuXZtfNvzNAwcPh23tx9Yc83ivE2ZkNluVow+jUC4W7n1g39LR0Z++5cDBPX/+19fP4OHRfnTnPXTkBIq+RM4DfCYTQ5E4bOMCPjEcj9G4tM81x1Q/cOKe0wBu178OpEbmMX0R+lRqy6DM5k2MxwZjEk4PcWp6ipOUBBLjkkn92NRYZNR1ryZzlEhqbPoeR87nyAURSoUaysU5PLZvHnc/sRotLSv+6NS1F/wgZmv3STFX3XzuyDG/7+O9XhAMblaxYz0AVOcOfGb7aT0D19JNuWCiNvXxz3x7jkWxAMkBHgN8T81KpDRzmc+shEkzssQN3LjeDMfbAbUJGo5nQG3OMay/2DLNNLMv1ORzC4mkDNVIFPU43RtJ/5Asi+uTnCIGZNyGhsWJyRiULsNJM4JHHTXnCh0FokTC9wFCOAijOFx7Ob9nz8l/cfVr2bU/vvNJ/skPvOpEQ6g5Bl6IS0ZfBrx34cDhw3/xue/e+YEtP7svh8oUykGMYo7A03IF2hASQo14TvLsYWQMrCkMGVYnSNyGNlsb16CZ5pBMZjCMT62e31aPcEeWNHtPUkcWYfm/M9+G2WiUpO5Ku5e5mTphJj84kyqS6RQuixt2N67A9LEimRCR7EsJ8CSLUL8sAnhMIh+EaG2J0NURoKP/rDprveSzxdLAx9/6kR/iH6+9/ERDpul6wQIcAA6PzyASEpTgL+994MmNX/3WjbTIqhtnZ456HlMIlxKIuUQUAxFPPRSpTlcgdcaRkAy4E/+4fR5JwJ7etoCeeFJSV2ESureAmzjWZApwO99kIZDbjfKpI0UMoC2Q2+NPmOsTd4BOUhmjxp6IdPyJntYgBUHEqaqM5yRxQwoRo6urNe7vxrYV694giq0j26SUH6WMgnodJxoqC64XNMDt9d1/vAG+77XMzc3/3d69e67cu/8QPTpVQS5giDgwPS9RDRVaqK7W9qiSNB4jDvORBnZ09TczbM6IA+4U5HZAiDhaObsaCoOFXUKWSgn7C3GKMZIrSwpyxtL3mADcAJfajA0QK3CTaHIq4TEJjwn12xPwmAroKJefh6m5AGFEQEkMiSLKbf1icHDpPxWLpd+L43j2ZWe//kRD4pjWiwbgAPDkk7uQz+e7Dx44+N6td/36lEOHJy87eGAPBnsptm0XODxBUPBUxYjPAN9TPx5TkkaNNmksKLYjkrakUcxvgZup38xIFDvSaPQ9MvkhRkLJFOD2bcXiaStk4/Ux3hxiSaNEjjDr6qSHTnnMBbi5OpmWGspeSYdU+UwoW8bj8D0B3+cIPIFcEOPgOLD1/nZ0t0msG1kBFrRfv2zl6Q/19PZ/IazXxwcGl59oKBzzekEZmU+1hodXAsD4zif3/vFbr3zz8ocfeRxHDg5e1lO4B3fsnMLEfCt6yzSx/j2Zuv0YSZk5y7Qy48IzLIqEoW1pYmtxy9uRti5Xz4mM+87YCLCBLhOD0PYbEkg9N4CAmnGTVjKXPWTKTsayF8m8PyHMMyjDUtDUB+4xBfjA4ygX5jFbr+L+Pb24+s0vw5qT1lw/uHT1+2rV+T0d3f0nGgJPe72oGNxeh49MgFJv9dTEntPaSxPv/dx3tm/acttOzE7PwvM9lAOJUk6imAMCnyDwFBu7ALTdYZq1GYGnmZsxouQNJWBMtZxjVF0Rsto4K1Gkzd5CdVzlAohjCS7Uj5Ir0jE+zQuizuYyVxWqmJqlLO4zgDGppVjK5GaTq9dCkiuEcREGvkQuECjmYpSKIQq5CILHKJRKkPkRPHzw5betGWz5wvqThh8Io/iJcssLV2cvtl5UDG6vvt4uAHiCC/kEJXho9Uo6sPH0U76y5c5HVv/LLQ8yBoFSToIxisAj8D0FVEBpXyEs6QBV4ykTf5srX6hjbGaNvJTJnWXlVQNp+3MTlRQa4EayZClYGCOYSjDdZIcQqQdFpVeOzL5wNDeQps7yZD4pAWMSqj+N2mA+i9DeWoFXPo+zwoYnCkHlf5684fyDALY/X2mtx2u9aAFulgbt9snJie1xzC/m1B+8+JVn/fOPbry9dXZifwl8HoFPEfgpwLkAwkgBy+S6mCioVahiMTOxDFE9VJalxp5JFbAvDwazXBAQru5zof4mhATnEpwLNQAVlncFRjcT1ZbBNGEkAoRQcGhdntH2QGo0MybBNMBjAZ2zTRBrLxNjapNBAqViC9q6l833r9o0w3l8BWcnj4KwPS92YJv1oge4WZ2dXeCc77nsop59h8dn15dz5NyAib9/7PHt8a5dOzvnZqZaKJGIuUA9FIgi5V4MYyURjF+daR1Mbe1tDE7byNOSwEgFYvlC0oIBJRcikpZ8CankScwF4jjjUQGcKwilupxMt3U0GZPcYnFBdb42Uj0deAKep7V9RFEPgWpdoh6qqWn5gKG1rWN25fDw5NCyVV4+J/5HvrziLrCOaUAIp4/ki3y9ZAAOAIwxABD79x84um7VkpuPTs+MfP2bP6h/86uf/uAD9//6t0f374kq1cq6mbl6/vDYFCozHHNVxez5QAE58DW4GEBZNsCj2ZuqVAHfV6PCKUsjgmlXKXMfYFwBMIpU9DGKBOqRAOeuizA1OAFAglHVfAfQr0loZid6RiVR8yYZ1UURREV5CzmOXKDGbk/PMxw5GkCgDEm9WrFQeGx4eIV/1plnfvuH3/njz6wa+dNcrthaOzpdF51dLw3WttdL7x1l1p69e8E8j9x7z90o5n1WKpX+Zr5SGZkYe/SCm247wO7bISDBUfZC9LUxdLR6KBUY8jkG36OJW5AynSbAgFwA5HyJwFeuNo8pVHJJILhJK00ZV0qgGlJMTlOMTcY4OhOhHiovil0wASkTY5RAXyU8gsCjyPkEQcC0T1//6MCU7wHFvERLUaK1VEdnawVd7RF8n+HJQy3YeXgFHxleszUI8tsrlflrCDg/99xzEcexHFiy9ER/Rcd1vaQYvNlavmwZkBJlLMXE74HkOiYm13/y0f1bgkcO7eP5UnHDQEmcSWrjCMMqygUgF3jwLPYk5ll0sMT3JfI5gXygQE4IEIYUlbpqhuMzswGUXAAAAobH9ggcnlTjnZjeMIGvNo+QQC0EwlhdEXwPCIR2eTJot57qASgEICAQxhJhBAghkPM4gs4cevvb0dMxe28c1X69Mj/CTj77ktDP9XxM8vrR5UMvTm/IM10veYBnF6FdAHAUwDsB4Evf+wUkyKZA1v5LTsxdIXl9beBFmJ54ErU6x9RMHYLHiASUm85jWsoIFHMcpUKMQp7DozEmpnOYmCmCEiDnCxRyHC2lEK2lOsrFGsBi7L29hB0HimjPU7QXJVry+sqQU/77qXmOiVk9czSQKAplNOZ8k8EoEccxOJfwfQ+SqHbUp46MYKCngPb23ON9PfSfS0X8u5S4baj3+DbWeaGvl7xEOdY1Pj4JABfHPF5VrUyLe++8XhC/c2Wu0PmR8SMHEHGKPfsOQcYz6O+S6GqL0dUu0F4O0dU+j+0HavjRzzrQmuvE8gGG/q4IvR019HTMYbY6i+t+wVAJPaxbxlGpS1z38w7UZgsYaOXoaaPoafewrJ+gtXUC/7SVYufeMnpbBNryEuU8R3sLRW9HgKVDXSi1dKNSibB8xTIcODh27d79Y7v++9uvoAO9XZT53k4AN5fL7Sf6I31BrP/vGHyh1d3dCQA3m/tjY+Pw/aB9YvzQtt15hnpEoiVDq95fyJGLWksShSBEPHc7SrnD6GmP8dABikdHS1jZAfR3RvBpHeXCHNrKE7jtYY7v3TyEjWsDXLCG49yzjuCBnUfwb3f0gQmKvMfR004w1JfHumGGWx6K8evdAfKCYkl7EW+5ZANaSz5ayx7KBbZlcrry+flq7K8/eT0ues3AbWEYTnV2dp3oj/AFuf4T4Ausnp5uAJgCcAMA7B89CACPMSr7fE8KRkJM7P0VcgTwfIog7yEWiC561dmf6CjNXzrYPRf1ds2jrTyDwaUBrnpdPzYMA4Qx1GgF55w2jVnZis5CgIFWgVWDBX9ouO3HUv74E4R4PvE9cMpQamnB2RtORakQIBcQmgvYYQns6ux68YXNT8T6T4nyHK67tt0FENIXVQ+19bbPys72KkrFOdy7I4d7H+7G2kGJSo1i9dIY9z4xjbt2FNCay6OnxLFySYGMrBqcFlIe3rDhnBP9Vl4y6/8BcHsRTWaxWlYAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjE6MDU6NTIrMDA6MDBGTuy4AAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIxOjA1OjUyKzAwOjAwNxNUBAAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 276843000
{'hecke_orbit_code': 216172782147342944, 'n': 1, 'trace_an': 4}
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id: 276843001
{'hecke_orbit_code': 216172782147342944, 'n': 2, 'trace_an': 0}
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id: 276843002
{'hecke_orbit_code': 216172782147342944, 'n': 3, 'trace_an': -4}
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id: 276843003
{'hecke_orbit_code': 216172782147342944, 'n': 4, 'trace_an': 0}
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id: 276843004
{'hecke_orbit_code': 216172782147342944, 'n': 5, 'trace_an': -4}
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id: 276843005
{'hecke_orbit_code': 216172782147342944, 'n': 6, 'trace_an': 0}
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id: 276843006
{'hecke_orbit_code': 216172782147342944, 'n': 7, 'trace_an': 0}
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id: 276843007
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id: 276843999
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