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{'Nk2': 33120, 'analytic_conductor': 66.11613287362016, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [23, 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': [8280, 1, [2071, 4141, 4601, 1657, 3961], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 316, 'field_disc_factorization': [[2, 2], [79, 1]], 'field_poly': [2, -4, -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': [[7, [-4, 5, 6, 1]], [11, [-32, -14, 2, 1]], [13, [76, -34, 0, 1]], [17, [86, -27, -6, 1]]], 'hecke_orbit': 39, 'hecke_orbit_code': 171136785873641560, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8280.2.a.bm', 'level': 8280, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '2760.2.a.r', 'nf_label': '3.3.316.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}+(-2+\\beta _{2})q^{7}+(-1+\\beta _{1}+\\beta _{2})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8280.2.a', 'trace_display': [0, 0, 3, -6], 'trace_hash': 122463144394795857, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.052', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.909', 'prec': 17}, 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mf_hecke_nf • Show schema
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'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [3, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-3, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '8280.2.a.bm', 'level': 8280, 'maxp': 3457, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, 1], [23, 1]], 6, 4], [[[2, -1], [3, -1], [5, -1], [23, -1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [23, -1]], 4, 2], [[[2, 1], [3, 1], [5, -1], [23, -1]], 7, 1], [[[2, 1], [3, 1], [5, -1], [23, 1]], 4, 2], [[[2, -1], [3, -1], [5, -1], [23, 1]], 10, 5], [[[2, -1], [3, 1], [5, 1], [23, 1]], 7, 1], [[[2, -1], [3, 1], [5, -1], [23, -1]], 7, 2], [[[2, 1], [3, -1], [5, -1], [23, -1]], 9, 5], [[[2, 1], [3, 1], [5, 1], [23, -1]], 4, 3], [[[2, 1], [3, -1], [5, 1], [23, -1]], 8, 5], [[[2, 1], [3, -1], [5, 1], [23, 1]], 9, 5], [[[2, 1], [3, -1], [5, -1], [23, 1]], 8, 3], [[[2, 1], [3, 1], [5, 1], [23, 1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [23, 1]], 4, 3], [[[2, -1], [3, -1], [5, 1], [23, -1]], 10, 3]], 'ALdims': [7, 4, 4, 7, 9, 8, 8, 9, 7, 4, 4, 7, 6, 10, 10, 6], 'Nk2': 33120, 'analytic_conductor': 66.11613287362016, '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': [8280, 1, [2071, 4141, 4601, 1657, 3961], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1697, 'dim': 110, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33562712, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7], 'label': '8280.2.a', 'level': 8280, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 1760, 'mf_new_dim': 110, 'num_forms': 49, 'plus_dim': 50, 'prim_orbit_index': 1, 'relative_dim': 110, 'sturm_bound': 3456, 'trace_bound': 17, 'trace_display': [0, 0, 0, -8], 'traces': [110, 0, 0, 0, 0, 0, -8, 0, 0, 0, 4, 0, -12, 0, 0, 0, -20, 0, -20, 0, 0, 0, 0, 0, 110, 0, 0, 0, -8, 0, 16, 0, 0, 0, -12, 0, -8, 0, 0, 0, -12, 0, 4, 0, 0, 0, 0, 0, 94, 0, 0, 0, 24, 0, 0, 0, 0, 0, -4, 0, 16, 0, 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124, 0, -96, 0, 0, 0, 64, 0, 200, 0, 0, 0, -108, 0, -384, 0, 0, 0, -168, 0, 440, 0, 0, 0, 264, 0, 16, 0, 0, 0, 304, 0, -104, 0, 0, 0, 56, 0, -192, 0, 0, 0, -160, 0, -512, 0, 0, 0, 8, 0, -200, 0, 0, 0, 4, 0, -104, 0, 0, 0, 560, 0, 16, 0, 0, 0, -44, 0, 20, 0, 0, 0, 24, 0, 148, 0, 0, 0, -248, 0, -164, 0, 0, 0, 288, 0, -40, 0, 0, 0, 308, 0, -84, 0, 0, 0, -160, 0, 388], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1383893
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 39, 'source_is_minimal': False, 'source_label': '8280.2.a.bm', 'source_level': 8280, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 18, 'target_is_minimal': True, 'target_label': '2760.2.a.r', 'target_level': 2760, 'twist_class_label': '2760.2.a.r', 'twist_class_level': 2760, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1383894
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 39, 'source_is_minimal': False, 'source_label': '8280.2.a.bm', 'source_level': 8280, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '5520.2.a.bx', 'target_level': 5520, 'twist_class_label': '2760.2.a.r', 'twist_class_level': 2760, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1383895
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 39, 'source_is_minimal': False, 'source_label': '8280.2.a.bm', 'source_level': 8280, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '8280.2.a.bm', 'target_level': 8280, 'twist_class_label': '2760.2.a.r', 'twist_class_level': 2760, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4709425
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 171136785873641560, 'p': 2}
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id: 4709426
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 171136785873641560, 'p': 3}
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id: 4709427
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 171136785873641560, 'p': 5}
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id: 4709428
{'charpoly_factorization': [[[-4, 5, 6, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 7}
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id: 4709429
{'charpoly_factorization': [[[-32, -14, 2, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 11}
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id: 4709430
{'charpoly_factorization': [[[76, -34, 0, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 13}
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id: 4709431
{'charpoly_factorization': [[[86, -27, -6, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 17}
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id: 4709432
{'charpoly_factorization': [[[-8, -6, 2, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 19}
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id: 4709433
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 171136785873641560, 'p': 23}
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id: 4709434
{'charpoly_factorization': [[[122, -31, -6, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 29}
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id: 4709435
{'charpoly_factorization': [[[-64, -51, 6, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 31}
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id: 4709436
{'charpoly_factorization': [[[22, -35, 8, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 37}
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id: 4709437
{'charpoly_factorization': [[[58, 41, -14, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 41}
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id: 4709438
{'charpoly_factorization': [[[-496, -92, 4, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 43}
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id: 4709439
{'charpoly_factorization': [[[272, 42, -18, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 47}
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id: 4709440
{'charpoly_factorization': [[[2, 69, -18, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 53}
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id: 4709441
{'charpoly_factorization': [[[-64, 5, 12, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 59}
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id: 4709442
{'charpoly_factorization': [[[116, 78, 16, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 61}
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id: 4709443
{'charpoly_factorization': [[[4, 49, 14, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 67}
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id: 4709444
{'charpoly_factorization': [[[1376, -235, -4, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 71}
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id: 4709445
{'charpoly_factorization': [[[-596, -138, 0, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 73}
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id: 4709446
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 171136785873641560, 'p': 79}
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id: 4709447
{'charpoly_factorization': [[[-164, -95, -4, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 83}
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id: 4709448
{'charpoly_factorization': [[[16, 16, -10, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 89}
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id: 4709449
{'charpoly_factorization': [[[-128, -64, -2, 1], 1]], 'hecke_orbit_code': 171136785873641560, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 39, 'label': '8280.2.a.bm', 'level': 8280, 'portrait': 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ti1OSVUltQIUh2x2JEMRiFRIBDWsGHGsH5as9SJ6QwEwyxkuS/YPG1YbBtOX1LUwojN62D7hoRNc0M2zo3YPDdi+ybLjs2Ka64IqasmJ05P8eWnIh45nPHEqRStunzzi9u85YWWuprj8KkZTpwPOHdZc9GD++iC5Zbr5vmZdyxzxfppzl+e4fJyjcV2yFJbstzVdPua3lBw6MQCh8+0r3ni6PxLjp69tOvEucufuu3Vb03u/fQHv96Q+Jq+/k4z+OJSm35iCRW/eN9jx1/4U7/xl/JbX3Dkhf/yLeeChfZGltpTLK40WGxHLLYDFtuw1NYstVMWVzQXV+DYomDD+hV+7rsXef7eBmcureP85SbnFwIuLVouLmScnddc7mbMrBvyoht6vGA/RLJOrGIuLdW4sBBwcUnQH0GWGWqRoVnTzE5nGODUxYxOD3ZuCmnWR1grQET0BoYdm0csrgRgnRRZ6cEoA4tlqZ2wbWNId6AQyiLMiKlayI4tQ1b6glPnA7QJmJuStGqCOIQsE/RHkotLkguLlkvLGXE8hDDjtmt7vPA6wYapOovLU5y5FHN+AS4tZFxayji3BMcWLc+7doGf/+5lNs9McfriOi4u1plfjlhoS5ZWNMudlOWOZqlrWegKznZgeanLr/1fo+zbX9X8Um3D95t4av+XpDA/qU1IFP/dzY7+nWXwP33/X/KC59/Mj/3rf/ULf/TBL/xfv/dnn7vq4OmVXUfO9+SLbuhy5RaD1gHWKqx17I2VgAQEQlgCYYkknF+s88BRyQ17lth/xZBGDcJAEoWKKApo1iWNUNLvhRw6WeMzj0Scujyik6UcOjNi09wSb3zRMjdc1eV5+9ucXMhY6Asa8ZDj5y3tTpPrr5SsDDUHTipajYCnT8HVWy3DRDPUEUGQMtuCg2diVKAJZUYQwmAkef7+PoO+5IarNJ2B5tT5Frs3K5qNhJWRZeNMn+Vehz//PDx2QvPEiSE7ty5y474Os+sS3nBbl299qWXP5hY6neHEuWmOnQ05c9Fw9nLK2cuaY5cFp1dSnrN3np/77i6bZmY4c3EdlxYbzK9ELLYly21Nu5uy0tMs9yxLPbjUVyx1Mm7Zv8A733RZ1gJ2Lc6f3J2M0luD+p56vbHus/fefQfvfs+ffr0hs+bX30kG/+M//RBbt2xSJ06e+rcnTl38qS8/elJdWExYGgWc7xtu2HmJX/vheW7a0+DS4iyL7QZL7RpL7ZClTsByF5bbmuVOxlI3Y6ENZ5YFQX3I7dct8W0vTdi9sclKb4rLS3XmlyIW2oKltpMIy11DZ2DojCz9YcbcVMqOTQYQxKHl7OUQIWN2blTs3mrZurHPpeURjx9p8dyrLY36Mk8dXUermZAkIXOzhsEQrtkx5H2fn2HfFRmjkWX9tCTVA1q1mKdPDqmHTW7am/HE8YRLixHb5mJ2b4EdmxOUSjm7AFFoEcKyc1PGbEvSHcT0+iGdfshSR7G0Aottw1Jbs9DWXGzD4lCzY1uPb3vZArfvD6iFU1xYmGJhucbCSsBSR7DcNqx0U5a7mpWeZbEHF7uKSysZz993kV/54UWu3tZksT1FuxvTGUyj1dU6amz5hW3bd/78wvxFfftL/uHXGzqrvv5OAfzw4cPUa7X6+fNndzz4yFNvP3Hq/H84euwsg1TSGcDKQHC5rzjfzXjelRf51R9e4sYr61xenmVxpcFyp8ZSJ2S5E7DcgXbXsNLNWO5mLHUsl9qC8z0LosdbXtzmDc83XLmlRpI0WG7XWOlFtLuK5Z6g2xcMR5Yks2gNSlriEOqxZWbKsnFdShAOOXYh4cmjMSZr8rpbE4JwhYcPTLNrC3zigYwXXx9zuT2gFigynbJuFrI0JAgzFhcbvOjmDp+4r8XuLfDQkREhDV77fEMmBjx5THPibI1ARmyaDZhtCuqxIIoESkBmIEktwwS6fctKz9DtG1b6hsWeZaA1O7f3ecML2rzlhQmYFosr01xeqju93QlYbsNKV9PuZax4cC/14UJHMd/RPG/vJX7lhy9z7c46C8szLHcbdHoxK92Qla6g0dpGvbX5pzdsueYDV2zfdno4HA6u3rv36w2l4uvvDMBPnzrCxo3ro8OHj33v4cNHf/PBhx4TC0tdOUws/aGhN7Qe5JLLA8mFbsrzr7rML//AIjdfVWNhZYbFlSbLnZiVbsRyN2ClK2h3Le2eZqWb0e4ZlnuWy13BhbZhdqbPq5/X5bb9GTs3KabqIZ1ujTiUgCLJJMYIjIX+EBCG2daQI+csxibc+VCTUb/OVdsibr+hT2pWuPuRGW66OuTIxR7t5SlecEOfzz4cs2md5cApyz97c4cDJ2M2rZN85hHF7dcolvodjp9Zx017E+5+ckA2anDbtRF7rhgyyHp8+mEFWnDsbMBUIyAQ0B9IjBVoY0kzQBqCyNDuWZqtlCu2jHjhNX1e/dyMuWaNS0vTLK7UWe64c7PcEbR70O5mtHsZ7Z6m3bcs9SUXu4KFbsat++b5hR+Y58bdNeZXplnx4O70Izq9gN5A0hsKEl0zV151g929e887d1255w+WFuaT/fv3fb0hBfwdAXiaZDJJ+m985MFPXNXr61+5//6Hw8EIhollMMw8wB3IuwNBeyC4PJCcb2fcds1lfvEH5nnunoiVzjTzyy3avRor3YiVXkC7q2j3oduzdPoZnZ6mNzC0+5b5nmC+B6kecePVAzav0/T6lte/YMSuzYZMSwJpSVK46/Eapy/X2DKb8dSxGpgG+7crbt5niGt9Hj7SZ36hyXW7mkzNLHPfEyG3XF1jsb/C8vIUmzdbHjig+Eev6PHggYDtG0MWem2Wl9Zx8zV97ntKs64+w3VX9bjcbvPAMzPUgybP22fZu2MIssfjJwQb16Vcmk+5+/GQYaqQErSx7NqS8OoXJHR7iq2zhpuvhiRpsNRusNSOWemFdPqKdk/S6UGnr+n0nFvS6RtW+palgeRcR9AejLh97zw///3LPO9qd3O0u3U6/ZhuP6Q7COj2Fb2hpDcQdPuabj/jOTc9L7WoH/u2t/6Do81G/aNBGJqvN7a+7pnM4bBPkva/+9iRR3/twtmj65YWl2g1XJpaCAvWYov70FmAQliktEgZ8ODhTfzkuwPefPsS3/6KJXZvS7i4OEUc1anHEY04pFkP6NYlrUHIdDOgP9T0BppNI8NgZOkOY5bma5w9Y0kyw7mLGXFsAUGkLIEU9AcKQUjWD3jOLsGerZYd2/qMdJdPPqg4eHSW1zw35uZrlnnvJy2RaLBrW58n7lNsm1Gsn+pTU3WSNORyF5q1gO2bBI8dTLh5b52X3rTAH35sQBS2eNWtljDu87kHEj5xf5NnTtS5cmuDXVs0G2YTdq9PuX6XRilDoCxgacQxG2ZikjSk24946kjoShQGORChN7T0+u5v7w40vYGlM7CsDGC+r7i0bGlMt/nR183zD28fceOVTS4sTNHu1egW4Fb0/H+zPxQMRpZRCmkGX7zngXDd3Ppfu/e+B5dedPvz/2W/1//DRrPxvy7AddZFYL7/zOl7f/HEgbvXDbpdwiCkHntPG+E+otAIQAiQwnXSKGlRUhNJyRNHNvDo4SZHzl/mzS/s8cJrh8y0plhqN2h2akwNInr9wF2coWQwDOiPAoYjyzAxJKklTS2ZdkeSRVgDUgnCQFCLBDMtwWwLNq83bN/UZ/1sm089DF98NESaaV7z3JDn7O9y7zMpyXCK258jaA8GXF5scttew/qZPvUgZpgp5jspygieszeg0RrxyKEaL7l5mhfc2OWRQwrsNM+9NuL7vnmJzz6W8JkHmxw4XWPHBsXmdXVmWw2mW1CPIQwsSoKxcOCEQGtBmgmSDEYp7m8caQYjw3Bk6A8N/ZGhN4DOCOZ7kstdGJkhr7xpiTe+sM13vsqQZVNcXGjS6dXoDiJ6g5DeQNEdKPpDUYB7MDQMR5okdefxxKkLvO8Dn1y3sKL/45u+6SXBcrv/7tnprx/Iv24AHw2X0Jrv616+8xeXzn12Yz1KsFMxw5GhqO8REoFACIUQAinx4AalLIGyhMpQDwUL/Trv//x2Pvdohxdfv8I7XrnC9bt7zM00WFxp0B3E9AehB7ZyRyIYpZI0E2SZW+pd7ZYLKoMAahE06oZ1rZRtG/tk9DhyLuXP765x/EyTmbjOLdcG3HZDhwcOt7nzy1PcenWNHVv6vO/zAiViplopK70RxoISsGGqT6cbYbI6b3zxZd7/iQZ7LtV4w619knSRu5+cI9U1nn/tRt5wS4err2jzuUf6PHGmweMnIravk6ybEjRiQRS6m1AKEMJiLBhjSTN/s6aWUepu5GECgwS6Q8HySLDUBREMuWnfCu949QovvlYzN1VnudOg3a3T7cf0hiG9QbkS9EeSwRD6/sYZDjWDxLgbKYVES46fafO77/vMxuUhv/hdb36hvXh5+fc3b5z9+w/whRWLChDNZyK7eP6j36PT/q/0lh9bj16hWW8gyPyFcgcChJAIIRBComSAlBqlhF+eDaGyxIGlHgiWh4rF9iwfvKvJ/U/1uP3GFd7xqhVu2tNmTtfJspj+sEZvEDIYBSSpIs0kmZZoIzBWuCyosMSRoVHLiKOEKBxxbnHExx6SHD0bceLsLMrE7NkScc1uxXP3d1DxPE8ea7FtpsF1V8LmDcssdaa4fpskM5ZPPRgz6ktmmhmvff6Qj96dcvpii31XhVxYGfL08ZArNs1y4+557n2iy31PC0ZJxP7d69h/Rcz+7V2OXVji6Dl48GCDI8ebNAJBHEiasaUWgpQuqLLW3ayZhiSDRAt6I0FnKOikkJgMY4c87+oO73h1hxdfr9myLmY4nGaxXaPbi+kNI/qDgN5Q0R8qBiPBYCgZjFzf6HCkncc/cuAeJMbFTAmMtGLpUpv3fuDzG0+dufQrM9ON7N//+qffa8Uz/Nt//i/+/gJc6yGI2ovPbLjv91n6rXWxWFgvbUgchVhSsI6F3KEQAsfWUqCUIFDKPxoCpQkDQRQYotASh5ZGpJmpCbqjkOXOLB/64hSff3zIptk+b39Zm/1XDBkOely323LFZsUoDdG6TPMLLFIawkBz6pLlxEXBysBwx70Nzi3MYpOQ2Zpi61zAzs0BV26D6/Z0MHKBd320ydLSNLfuD7huT5vPPS4QWcjGWUmzkdFPI6SVYCUqiGgPBZeWBNfaBi97bpcvPVJn6/qIW69bxz/55gX+4BNdHjzUpDcMWVxpsXtrnX1b+jx/b5dveUmX80tL3HFvzGI/5tSFkHPnIkIlkNKtesZatIHUWHRmmJ1LueHaPqNRyv4rRrz1ZSM2TivWtWLStMaF+Rr9QUR/5Fa5QQFs6cA9EgxHuJVgpBkmhlGiPXNbD3IYpIJBKtAi4NjFDgc+8OX1L7155tdf/eJ16Xs/1f7T3//TX+P7vvNf/v0D+Dv//R+xaa4m/vDPf2v38uKhvbvmDvD6WyNUp8VA2kKWOHB7rS2dVJBSoqQkUIJA+cdAEAaaKBBEoaEWWuqppZFYpmua2bqgn0i6SZMTZ5v88p+uA5Mhsozn3tBn9+aELANjDda6JI4UAqkEQRhx6HTEgaM1mrWAViRZ3xBsmJNsXBewdYNi5xbNvp0raLHIb3x4ilOnZ7h1b8j+XZpB1uXLT8bM1EPmpi0zrYRG3UkhYyTtoWKpZ1lsa9q9Oi+6boWHDvQ5eFoxM1Xj+dfO8ANvXOS/fQQeOdqkN7CsdAMuLU2xeX2DjbNDds4N+Vdv6zPVaPPECTh0RhKGFqUsQhjAuv9ZyDLYtVlz+/UZOg1JsxhrGwyTkIsLEYORW9GGiSrk2yARDEeCYeJYe5S4rOxoZBglhmFq/Hv54cDdTwXdRNBOBe3UojtD7PD4zIb6lt/7z//0quyVr3zdB7/tFb9uW1v/5zD5/xSA/8J/+TOes2u9Ev/uD9/yro/Mv+v+R8/yqpum2b2lzb4dHZTSSGEQwiBFhJQWJUOUsiipUEp5vS0JA6c5o1AxCiWjxBAnmlFqqaeGUWpIEstUBqPUMMogyQTDVDLSMamucfBok8cPgrYWB22njUMJkXI1H60YrtsCU3WYbkpmW4q5mYCN62DH5hFbNqyQ2iV+48PTHDs+zc1XKq7cLtmzfZkvPJ1xaXGa5+6WzE4ZatGAWMZYJci0RFhLphOWezUuLYbcvL/Oc/Z2ufeRGptmBY1ai5v3Gn70LYv8+kcMT59rsdIzrHQV88sB62eazE7VmZ2aZqqRsqGZsvPmhDjMCIPMn08XTFjcTZWmisvzAWmmSDNFkipGqX9MJKNUMkokw0QySoQLUBPBKLGMEndeR4kmSbymT937wwSGqWCYQj8VdBLBSirpJRoz7POcPcv8s7evcNs1lxtGxe+9dPRzZqF784dPPvNHete13/2ND/Cf/dU/JYwide/T5956/uylP3z06Yu1VGzkEw/UCALBz//gCtds76KkRirjwK2MP0KUtITKEgaKMLCEiSQKhbsIoWAUKZLUAT1NLUmmnSuSVQ4NmbZobdAGp7cNBbhzKRRICEOIA0EtFjRiSbOhmG5IZqcFG9dl7Nzcp9Vc4cNfSrj7yXWsLExxww7Fzi0hV18xRIsVPvVgg2YYsGFW0WoMefIYPHM84PorLP2R4sarU27YY7l4QTO/HDEYNnjdLV3ueWLAkXOKZl0SR1Ncf6Xh579nkbueHvDRu9az2LHs3KhZbgfMTCmmmyGtRkizbqnFhjgyxIEmUE5qSd9aaS0uYWUEmZFkWpBlgjSTJJkgTSWj1DkvSSpIUkuSwCjN3ZGSOEZp9XDgHuTgTiXtFPqjFJn2uXnXEj/7g0u87hZLtz9Dd+VMLRFzf9xsHvjHtXjqL84e+gO9fd/3fmMD/HxXy2yp/e2nTp7/7cOHT9em45BMwEhM8df3KZKR4q0v7/C2V/aYndJ0pSGQ2utsp4fDICBMA+JAMQwd04xCSRIJklS4i5Mq0gySVDoHISttv0wbtHbugrbeKfFuSe7OKOlkTxQI4khSiyXNumCqYZlpGTatG7FhtktmV/jgPZI/+MQcG2s1btgh2LElZNdWw84ty3z4y5alpRr7Nytmp6DVSLl0UnJ5OSbaDaNUsGFaMjMDR05YljuGiws1rt5V4xXP7fKxL9aYa0EcRSg5w/V7BD/4hsuE8jJ/fe8sz5yrsamTsnEmY7qpaNUVjbqkHgfEEcQhBIFzmKQAKSogx93Y2oDWgkzjgQ6ptiQZpKl2pJAakvwxNd52zF0Zb0FmTm/3UkEnk3RTQzJMmI47fNvrFnnby3q86mbo9Jr0RzUyXSMZHanV4+Hv1aMtgawHf4bjmW9MgP+/7/4ImTbf89G7nvnVJw6emWrFCmEs06GgI0KGosWnHlR8+ekaF5YX+Wff0md2KmMU1+j0awQqIgxCwiAkSjRJGBAlTpokqUulO8YRjok8K2UZpBq0dk6CMS7gMsbmPZwe3A7gLnAVhIEDSC2GRs3QqmfMtDI2zAxYP7vClw4m/PGddQ6dmGHXdMiezbB9c8T2TbBvR4d+1uGBA1PUVciGWcVMC2ZaI2anM6IoQAh3cw1GEUudlJW+pd3LuLwcsWNzixfsv8ydD/Y5dG6KRpwSqgghptmzTfFdr1rgefsu88d3tnjgqRkWewEbpzJmGhmNmqReU8ShIA4lYehiFaXwrpRDucX1sBpDAfRMG7+6eWsxM2TagTtLIclseaTOlRlmjlT6qaCTCboZDIcZJhswV+/wzm9d4v/+jh6NOKLdbTAcxSRpRKYVUkqG3eNTxvAbon5rdPrQh/5gx75v/cYD+MpKG6Xk9//2e/7yF7vz5+a2TUu0dXJBSVBC0BEBA9lkZRTwqx8IOXBsmTe+pMfLbuqyaX1Ct1NnMIqJwow4ChklAXHk7L0c4GkqSTK37KaZ97Q13vrDM7fEWEpwuySlZ24IlEuYRKGlFhnqtYxWLWN2asSW9R0utfv85h0hn3poHUvLTa7aINixUbBtY8T2jYLdW4cE0Qrvvzvg+JkmezdJZluS6aZGyhHn5i1xIJECrBUkacDOjR0eRNPpK5Y7lktLdfZur/EtL2vzF5+LOHkpJgxShAgxtkmaSZ67e5md39HhU4/0ed+n1vHwySbbZgXrm5pmTVOLBHEoiEIXqwQKFzhLUeSCLe4mMxbntGgH+BzkmXbXyIEdEu1qXZI8eZQJBhl0M0k3g0Fi0P0R29d3eenNy7zpJX1ef4shEA2WV+qM0ogkDUnSkDRVZFrS6ceMFlbmZjaNfmXfc75F9XuddzeaU984AO902oRh+E8+/4V7fvHIoQMbZxqGYeI1nobAV+eFUtCTgq6s0U4C3v+FGnc90eXm/R2+41V93nBrm7mZmMEwZjCKiMOQJAtJ0qAIlLJMkWpJlklSLcgyidYCbUSptY2gUCU2z4i6ZJHyyaIoNMSRph5ntOoj1s/0GKQDPvek5c+/MM0DT80wG4Vcv82yZZ1k01zE1g2S7ZsSrty2zBMnB9xxzwamVcCGacFUUzDVSGn3NZ/4co1W5NwhY2EwCnjj7SM+fr+riWn3DJeXA7ZvbPHmF/Z44GCXA0cimnGGksKB3DQYJk7rf9cr2uzdcpn339XhvmdmOL1cZ/OUYLpmaUSGWmCIQgiUQEl8gsznFjzUjZdqxpQrXOaB7ggCUi1ItQe2FgwzQT8T9DQu5kkSmvU+b37NEt/+qg7P3avZNBsyGDbp9OIC2KM0IE0DkkyRenLqDRQXl49sTLj/F6+/8XbTbnfeMz39tw/yv1WALy6tsLDUYzDiuz931z3/6c47Pzu3vLRMPXLspaRFZZZAOtciEBBJiCV0ZUg/VJztxJy/v8H9T/b4ixu6vPUVA157+5B1MxHJKGaUeTbI3ElLM0WmHTNkWqJ1CXBjPXObsqYstyGVdHUcQWCIQk0cpdTjhFZ9gGbAZx+R/OnnZ3jqxDQijdk1a9kyY1k/o9iwLmLzesnWDSk7Nnc4M9/ldz7aJBvV2b5dMNMKmGrCVCNFhAmdQZOZlkUIgbWQZpJ1sSIzGd00otvXLHcU5+brXHtlix/6Byv8yp/FnJpvEqjU3xgBWVZjmEg2z8U896oON1zZ4+lT5/jzL9S58+EZzrfrNGNFK4JmaIkCS6ggkC6dL8R4dZ0BrHE3nTYCbSHTwvnnWpBolyQaaMFAwyCzZFmGSUfM1Qa87pUrvP2VXV58fcp0PSRJmyy3Y0ZpRJoFHuDKP/fuTSYZJc7B6fTaPP34FzbWY/ufrrnueVm/c+aPRDBNvf631yH0twrwfn/Ahrnmm+6+58H/9qGP3Dk1HHScxVfIA+FckswihSCQlkC7YqZIGepa0FcR/Szg8qjGX9/f5O6n+jz/Mz3++bd2uWZHh40ziqlGQJJGJFlIlpUg1znAjcRYibVOEtgioPSpfmVdEBtkxFFGqBI6g5T5Tsp//XCNE5dneeTADNZEzNUFG9db1k8L5qYUczMhm+Ykm+cytm3oMzezzKceNTz8zAw3bBfMtiSthmSqYWjWE0Q4Io4DAuV+v7WgtWQwChgMUzIj6A4M3Z5lqRNycXGK2/b1eMG1K7z/MzXqS4pApg6QNiDTEUnqejzXz9R43p4ez7uqx4MvPc+peckf3znD5ZUGZxdjIiVphoIol2HSBZ4FkedSBcfkmRVkBlIjGGkYZpAYCzqDLEWqEVtnB9yw012PW67RTNUDsqxJu+uAnXlguxU2tyWlZ29JmsmiPEIqgUnbHH76c3NxJP/b9t3PW05Ggzv+NjH5twbwY0ePsn3bZvWHf/RnVz351KGp0aBNFAZYIMSxl5AWmQmUsK7WQ0OgBaGyRJmlpgUNJRgoQT+IGeiQxaTOnQ9P86VnBjTjEf/49W22z2Xs2jrgtuu6BMK1iAnh5IrLSrpaaWsrzI1FSIsSzjO3ZCAznj4heehgwMceaPH06RZJ1qAVKDbULeualtmGdT74VMC66YC5GcHmdRlbNwzYsmGZu58a8a6PbWTLTMCGKZhqKqaaglYjox6P+NJhxTAJCJsOVNYKkkxSCxQ37R1w/5MzrvBpoFnphCysxFxamOWH3nCJswuL3P/YBkIJiBQDBYBGiaQ3CJht1ZiZavKCvX1eekOf73j5PAfPGD7+QI0HDtY5fLxJJgJGI0U/Vaii9KEaePqcgDVkxmKNIRSa6SihRsoLbu6xe8uQ7etT3vHaEfVI0qyHJEmDdjfyK2ngCUcVXnsO7tWHMwS0EWAV8/M9Hn7wvqkzZ+evesVr3qqOHz+mr7xyz98dgB88eIDp2dnosUcf/t44sL+aDNtMtyK/9OV2lQO5FI6xVYaTCNoSZBBKQWgssbbUlKChBSMDQx0y0CF9XaPb1fyn989is5RNG4Zcu2PI3HTGW18xYMfGhDQVXm9LqDA3Xn9KaRBS8KG76jxxrIkIAk6db3DuUoNaXTEdC2aalqmaYaoGrbpguqGYailmWwFzM7B+JmPT3JBtGztou8KH7pli0Gty9XbLVEPRakhadUOrlhGGCZ+6v8aoLwk3um7RXKI064rXPX/AFx819EaS3kDT6QesdAMuLja4ZneLt764wyNPNzi11EJJA6ReL4ekWjFKXWKmNwxo9yJa9QbN+ohrtg+5dd+QM5fbnLywQhBqHj8e8BdfaCCUK1xjcv6gNYABa0kTzc5NGW9/xYD1U5p9Oy2b5kBnIaOkRZaFLHdCslSR6sDHQQ7QOcBdTCS9qyX8c5foSjOB1rkcEmgtWT63TNjMfvWRRx7u79y56w8OHjyQ7N9/zd8NgJ89e5b5+fm958+f+81HH3tYRqGrANTakhmLlu6Q0unvzKfgMyMIMqcTU20J/R8dB5aatmRakBhLogUjIxlpSWJCUgPzvSm+8ITBovmrB9zIBqzxR57F8xaZyCsSJVIpsjRAmoAwkLRi2L3B0gwNjdjQiKERC5p1Savu5NB0SzI7BXPTGRtmR2zd0EWzzH/9yxr3PrmRPXMw2/Ds3ZC06hmNekKzMaBebxAriZJeg+PkQJqGDAeCwUjTHSl6Q0N3YFzLXDPi7KVpXnTtiB992yV+7S8CTq/ECGGwNsVoS5qFJKlkOHJlrK1BQLMW0ajXaMQNanFKq57w3KsTojDllqsz3vHKPoHKfBLIuHr7qij3ks4YiRCSOFRAxHAUsLgcuLodncc8/shkGQP5wrUc3LmzlSeWMh+0au2qNzPj3tMZjDLLgw8+KK2VvzkaDu8ZjoZP/W1g878b4B//+B3EcVA/eeLYW44cPSIClTcrGLSyKG3JPMCVcgkYqSxKg9JOG2YaAu16H7M8otc+qs8jeyPK10aQGElmJdoEpCZGe9ur+lVkKQUEQrhMpYJa3VILLDWliUOIA6hFlnosqEeSRl3SqAUO4E3BTMuwbipjbmbExnU9tm5c5F0fM7zvzk1cMaNY3zJMNRWthqLZgEZd06qnXFg0HLsQU4vcDQ15pZ9gmATs3mzYvH5IZxgxGFrP4pKVbkCrXqPVmOEdr7zM8QsX+b07thHIAItBG01mLGkWMEoUg8QVRfVrksYwoB6H1GNNu+tijCjULmEWagLpGiWk1H5Vtb6xBF9/LzzIBW3jqyyNi2u0lhgjyUwZ72RaVAL8/HnlMfOA9uDONMXr3K3J37NW8ORTT4r+YPCWHTt2Hrvjjo8M3vSmN399Ab51g4w6nUs/0e9e+glhRzKOnP8shSsTlZ65tbRo42u5tUB7eZIZZxtq7TNsxoNcO3mTv1c+LyvlnJcrikCpqrmBQhpJAYE0BBJf0wKhEoSBdb5xIKjFklokqceKek3RqktaDct0UzPTylg3NWL9bJ8dmxZ54PCI99+1ldlazKaWYaohHLjrkmbN0KxltBojHjgEjx9scNUGH4OIMm0+GClu2We5eseAB5+aoT+yDIaa3iDwIA9p1OrUazN820uWePzwZe4/sBmswhjtymEzS5baop5kMApoDC31mqIWGeIoJI40cWAIAk0YuOywUsYXsbnSYIRFUOq5Mjh3JcQmd6RMbr9WrNgc2DkbF6+rQM6/58hJjwE7f3TXdKXdlydPnf+3qY6iWr3xC0DydQP4aDSQaTL42Xs/975/Oeyei1r1iCRz1WtSCAdkWTK4NqJgda2tA7nxz41roDWa4rnOM242z7xZjM/E5ckKay2VzPvYipunqvOEjpI+Y6moFG257F8cKWqxoh4LGnVBq26ZamimmxkzrRFz0wO2bljm/kMDfvYPN3H67AxXrjfMNGCqrmjWFc0aNGuaei0lCoe0h65YLFQWKctPpk2uRSOm6in9zND3ddb9oabbl7TrikY3pha32LU55ee/t82/e6/kywc2YVEYa9DakOmMJDMkqWKYKAaxpD5S1CJJHFniSBEHhjB0fn+g8lofB3DlZYoQdrxB16f2rScR62tZtAe8NuWjIyPpH0UJcP8819tZTmJ+ddbVVdtnVLPUcPjomSgx8Y/96D/9nrDX6/90s9n4G6fz/8YAt3oJa/u/cPbU5/6PzvLJWr0mEYkB4T1vld+lAiUFmcqBbDHSgVt7cJv8uREYY4s0sik8WrDGui5yXwJaPZgAeN4wIXJwi7ym3EmiwLeihYEkjtwAoFrsRjLUY0uzZmg1NFONlOlWwrqpAVs3rHD/wT7/7g/Wc+j0Onaucw5Lqy5pNqRj77qlUdM0aimpTviTz7SQShFKixKlTWhsvoSHfNdrlvn0wwndJKbvAd4bKLo9RTsOqEUxcTjFvisy/sP3LfIzfyC476lNGCvRxqXV08wVmo0Sw6jmyl3jWFALBXHkMptRYIuMbaCMk4myLEsuAF6mPAFPIrhcgnNbfCCfA9hPHTBFcg3P7hQrbr46lwC35WNRBOezqJlBW8GBQ6dqf/bhu/7Pt735VeLCfOcnt2z4myWB/sYAP3H8JNbaFzzz9OP14ShDyoBQuTMjhfsjpa/S0xKUEWgp0EV6OAd3Lj/ce6aolSjbrxzQhaujyEGdn/iJz1X2bvo6E0lZTOXryB3AJWEoXf1GJKjFbuZJI9Y06w7cU82EmakBG2baPHCwz8++Zx1Pn1rP9lnBXLMiTWoBzZqrX6nXMupxQhiOOLc4S6gEShpvy5VBptaSLFNsmbVkWUonrflOGcNgqOkOJfW+ohaFRGGNMJhm//aM//BP5vk3vw/3P7MRbaQDuLakmfZMbhjFhloiGUaqkGBhCGHgnSslXS5A4mUKzsIV5Tmskobrj/VJIUSRHDI+OZRni7WuvG9KyakrwDamvN45DvIyAW0MWWbBCnSW8OgjD9dvf+6eF0j5N99x4m8E8Pvu+QxZZhuf/NSdkU1HNOtBkfrGgyvzwNJaoH1TrNb5a8fUOqD4I8eBncsQWwDd5nIkf/4sn61sefM9nFIU4FZS+kaJXJ5ALYQ4MtRrlnrs9HOjnjLVSJhpDlg/2+bhI0N+5t2zPHlqA1tnFBuahum6oFWTNGqKRl1Qr7mbw6X6E+4/IOgNI2oKf5M5DZ43IWgjSLOAZk1x23VdHnh6in7qZMpgpOkPFN1YEUeKKIy8fp7hmisMv/QDl/nx34X7DmwkNZLUGN8sXfZgjiJJHBnH3mFZRx+o/MDLlFLGSVFpPJkAeZ4UsjnAPeB14byw5sprfCxlclDnwLaU7+ky5jLG/c56TRGLHnd97pPRC1/yisZHP/7J/hu/6fX/4wF+4dxpNmzcNnPv3Xf8TiMeviRF+4IeW0gCKUAaHJCVLZctiWfs8i43SqzN2hVAmwLYZVMwXnsXF0O4giIhPbh9kZEqAA7KVwyGAUQhrhMo8gVWsabu5UWrPmK6NWC21eGxoyN+5t2zPH5yI5tnAjY0DNN1aNYEzbqiUVc0CvbW1OKMVmPI3Y9HrLRrzM6WafIcMMZr01QrNs4pXvmcHnc/ZFwXTWIqIJfUQkktDAiDiCCoI6Xhmissv/gDl/nx37Xcd2gjqQlIfQWgK3t1TB6nsqgujAJJEPgiLClQQX5uKD5ffhPmUkXkVWmUCaHJw1Qejak8FitvCW5TAJ21X2t/rQGJoD9MuXC585ITJ0/9/ne+/S0/fOLEyZXdu3f9jwX4qH+OC2cu//iwc/zbQ+apN4PiPs+XXyXLu7lwPlQlaDTlHZ/LD13IEAr2HgskJ5nbIz3PyBXaW+YVdKXuzisGA4WrzwgsYegai2uRoRZp6rWMRi2lWRvRagxZN93mkcMjfuJ31/PY8U1snAnZ2NBMN6wHt2fvmqQeO/avxRmNOCEzI7pJjFCSMGfwQoMLz27eL05DmtHQlQskNWZzkA81/cgxeBxJVxMf5BvQWq7fZfmVH77Ev/5tw30HN5GagJEWJNp4FhfUUkMcWqLQ9a4GPu4IlCsRVlL68+O78vPHSmFWcWNWY50JcBckVCGmKriLuMqWz6vv5bX6prj2LiZIMzh68jIqPv7tO3c+dixJ0n/zP5TBR/2TRPXtO488+ts31OQJ5macJ+s+VAlS44PFsqLP+vfyoh5bAbgoTpQ21RMmKkxRZiVtdc3MWbsaVOariO/QUT6YCgLfGeSLkPLqwVqovW5OqddGzE71mW52uf9Axk++az2PHt/EhumADXXNdM3S8uCu15ydmIO7HmtqUcZUM+HASctdjzSJpCRUxgdxpUeRL9+pVmQm4GXPTbnqyh7HTtfZ0KDscxxp+kPPwoEiCEI/D8Z519fthF/6wQX+ze8a7nl6A8O07pJhmaXha7jjEAfyIF+9TNHbKpUuVjglRQXgogJyVumVEuR2HOBFhWK58q61Mk++p83E9yo3UJJKHn7qPIl4+IZ//zM/sPPxQ+dOPWff177d4dcMcGsPAbVdaedT/6URnnlTs7aMoE6SGtJ87EIBYlkGHoWd5EFubQHq6pKW+8O28LQnXJJVboln7klwC4tUuS3oa16UZ+3AEgWGMDTEoSGOMmpRRi1OaNRGrJvus9zt88Wn4Jf+dDNPHF3Peg/umbqlVRc0a6Lwyp3zYhx7Rw7g9XhEojXDQY2acjeZFGKski9PpLhAM3BaPhgxSiyDVFQAbogiTRQGhKF0UwVkWAAcATfuFvzSDy/zn/4s476Dc5xvTzFsSma0pZVZan7iQBxa7/3nToot2DuXKjnAi8/rP3QV54VC9BclX1VLcI9LSlfNWQH7BND1BLBz8GfedUkyyWJviDi5/KY/+fC9+nUvvPb/vP+JkydfcOPXJlW+ZoB/7LOnQSzeyuDxt1zReJSp5kaMdXvKqKKKL7eKcsaueKZFX2DO8vlybf0JEJUTM675yq9xVZhfBDfuIWfvshu/HA7kymLDwPgxE7oAdxx5cK/rMb884Bf/pMEdX97AQm+WDdOSDTUP7prT3Q0fWNZjSSO2nsGd9q7FCZDw+cciltOIuZixemzE+AqltWt+mIoDXnFzn/sPJXTTmOmiY90QjVytehQ4gAfKNWQL6RI0WNh/heTX/nmHj98/4Bfes4mzC7MMZgJmIkErMzQyiFM3ejlSbqBRmAeaUhRBcP5YDdSrN6YQRa9IcX1gQkJWgV2Jn0wV/EWSbjXIq+5LpgXDDPppyKOHnuHbdfiWHbP6T1pycPJvlcE7nSGtVnz1x++851889uRhrrgtQkkHGGt1JVMpPHuXjQbalq+rMqYEdS5BbGlDTbJ2VZZQGQoERbo5dwFUDnBlXTlukPd2uv7OKNREYUYtSomjlFZ9QBD0uftxze9/YoqP3buRxEyxcUqwvuZkibMAc59c+UN45q6yd0oQjPjSMzP0k4AtjfzzTDJ4vrpJ0kxRCxUvuGZAZhzAB6lwXet55/rIuOAw8LNhvL2XD7ezCNbPCL795T1a8Xne84kBX3xmjotpnX5NMpVZmoF1IA98HKKsj0usB3l+DkVZOy5dsJef68kdBQupko+oYFKbV7uHytrznNH1GsFp4Z0bSI2rR9cW4jjk5MkDnL1487/Yued1j6ajwZEwrv/3A7yzfIojz3yOWn1664w6/NIX7EuoR03STHiQO2DlAM+1d8HghSQp2XtMjuRaG59MGAN2xXqo2lfCTkiTPCvnKgbdaDfja749uJWrxYjDlChKqYUJjcaQKOrzp3cG/PIfbeTY/DrCuMbmlmBdrJmKLc0Ymr7Dvh67bGfNJ4Rc/Yr2K4GTJwsdTS+JiJQikrYIMKn8KfmNndduJFlIPRyyeWbASr/FIBV+3JqLFcJQe5tPebtTFa5VGbi6ysc3vbjHLdfO80t/POR9n9rAUtakH4c0Q8lU4Gpw4gAiRdEMEeRJn2IOjSiywHkCqEoq42KlCnTGVmBjx6Vmqc0njiJjXTZFZ7ZMGMWBJU1j/vrOETP1oy+98Vq5dXmlfeTgkdPsv3rHfx/ArdVce8MLdi1eeuZdS2efYLYVkGUuMaCUKSe9aoMy0teJ+GyXHZco1pT1DXnwWJwEREWSiAlpkoPblmzis2+yCnBpUdKNniiZW3uQZ0SBkyRxNCIOB5y8lPF7H2/ykXvmOH5plqlGyLoazMaaVmx96j0Ht/TglkVSqOa1dxy5G2eqOeLDXwo4cqpOzU/gKtrFKFFejHGwToenWcD+nfDNt3T5/U/O0WsETPnZI3Hi4wZlCALpx9ZRAXlYuVhuVdixXvKT/6jPDbvP8rsfW8fxi9MsZXX6YUBTCRoe6JG07sbxLlOx+uXnNbcPcfq8zHTa1T55Tkx56UThm6+2FIsuomotUeU9XU0UeZKLJYxGik/ddYB9+65910te+sLXLy93vqpU+YoAtzYDFIsXH9zeX3lyTywvE0fCzS/xg2WMEJ41JcYYz9TSN/qKiksiCkDn4LdV9raiYIGSFXLatmM6MAe2eywLupQ03jXJ2VsTBpnr3Aky4nhEFIzo6oTf/GDEez6+mXOLMxhVZ920Yl1kmY4MDc/cjSJ9L32dipcm3jsvwB257OUoTThyNqaXxMzGFK15zpenSPRUkz2ZlqRpwFQzYPf2BBUP6SYtBpGgnlpGOcAD7RM1yvnYMi8BXit4VWyY7vNDb+rzlpdd5D0f7/B7H5pjYdBkENSoBYpGIKgrS5xZx+bSSZVAluUNeZZzFZOzhlyZdFhgPJbKZUiFyKosnpOgtiWw89dYF8ukKE6c73D3/Qf2hFF9++tfefPJTk8z1Xz2raa+IsBNcgoZTG1o1PQHlwZ3h9NT1RJL/0epvJzSFLXExpoC3AVjm5y5K8D2f0TJ2AK75iexFTvQFsAekycyHxakHcADTaA0UZhSixKiMKE9TPjSE5I/vXOKD90zx1C3iKKIuUgwExmakaURWxpRCe5aLIljSeyliUsMeWfCAzwKXebzxAXLFx9ukKQhcdOuCjCL81pocHe+klQRhgGvvKXL+z/b49DZJoOaG80wCi1RBmFqCBODUtL51lIghSyH+1CeT20kmZE04oBNMwP+9bf1uWbHiPfd2eKhA9PMD5oMVUQYBtQCQV1CnA9Yyu1V6doKi4I1UTn/nskni7OqjJ4T1KQjlr8uWVtU2NwBW+evjUD7nxcGZCYQIuL9n34ifNlLn/fBMxeXn7O00pv/GzP4gQu75Mr8Q7cO5j8w/ZztFzCmUQyqBAdYPICVf79k8KocGZclxZED20uUKoOPFf64Hh3H5EVK2RTlnm4FsQRKO4ArXciRIEhp91LufUrwh5+c4s5Hpllqt5D1Gq26Yia0TEWGRmhpRJZ6hGdtx9z1WFKLFLVIUIvwFXrGg9sQh05/q2DE4bNwrl1ziRWvb8cTJ2X9jOuDdCDPjCRJAjZNCa6+YsCTpzP6acjIz/iOEhz4VD5ZN0/UuLLkMVIq3Covf7SrD3/7Kwe89vnLfO7RLu/91BQPHZhisdugLSN6UUCkBJEUxNI1ggfS7VKnKtlp5buy1go4V9WvTDJ5hdAMVfZ2N4E2pWTJLP4owe/Om7MaRa/D/Q99aPrGK7/p1hv33fhJvsLwoK8I8NPnTsaX5tVv//GfX2x+4Gf6SCypDjHVvkcjiufGb+dn8k1ZVwFcFB3uYwCvnJAxXhiTJpZqgb6TJcZrboOS2g3Ez90MmTLfzbj74YBP3Nviji9Oc7nTRNRqhK2QqQCmQ9fJUw/xsgPqkfCH9CWnXndHgjhn7xzgQUYUZdSiBGtTPv9IzKkLddavE4TSeB0rykbfCtvZioWqtWIwCtm5SfDKm/t85MsJvTRkkApqoetXjfxkqXKVUoVf7eaoU55X669J3qhgnN9ej0e8/eUDXn3LIn91T5eP39vg7idaXG43GIiIQRQQhIpACNdCKCWhyKcgWBSiIg3H7cM1yHzMBSuZWxQBaA5oXQC6AmqoTCHzGsdqMAmR6PC6my42d2x69W+TnrgGGPyNAP7I419mfqnLxfllas0MqQeoNCPTgd+bssrUeSe7nJAj42AfuwjgeifXqAkcCygrwHYDOp0kER7gQaCJgpRaLWU40hw6ByfPK/78M9N88qEpLi83IawRTIU0lKQVWlqBoR5a6iHUQgfuWuhmEroyU1k5hP++9SA3Bcij0LWnHTtvePJEDGHol3lbSdGLMRRUgzCdt3BpN875+t0jrt3e4+C5BoOaoJEJ4tQyUnhrz3j2zt2U3IIstUrhsxe2rfLTB0KGSUi9PuJ7Xjfijbet8OmHe3zgsw1Onq9x8FyDZCUmiwOGQYBUbqqvAgL/mDN5IV0og/9VX4WbUoLaUILaQClHLBhcoV0JaA9qcnC77n5rUyIxz9Li4zNy+vu+c7ljfn92au2Kw2cFuEmOijTt/YsvfO6X1+uVAQ8dCLl1X0pU09SUxCRuiEvZxS4LoNsKg1tKZreFFKmCu3LLjzGCrWg+l9RwksT4XR40cewmqWZac3ERPvOFgGNn69z1QJ1zy3WOnW9CHKMaAbVA0QwszcA4FyF0g/NroRvX5kCcH9IfygMcr7k9uENNHDr2djdWwol5OHCyQSjH7cFColDWgxeOQu6kGN/XmIVcu3PA1Rv7PHU8o5+FtFLBKIAoczMBVQXgUgqElGNMDpP2myiC2byPMtUhozBiqp7wXa8Z8eIbOpxb7vD5ByOOn4n59CMNzi/W0IMQIwPSSCGkdCuF78qX+IwnFLJlLZCPBZpUs9S525JrVA9ovGdYANtA4tKaItBImXLLNSPueiLmT+46PPNP/0n3R+Mwec9qFH0VgIvBHYQm+/a9W081z16q8yP/zxzX7Ul56fOGXLs7Y+s6w1W7UmIr0InEIAv3pAr4Uop4YFdYPGfr8U9mKxF7ydqFFFGaMNak2nL8jODJ44rPPNDgqRMRz5yo0xnFjJIYwgg1FRIrQUNBIzDUKz5wHOR1GnnZrKsLj70siSJFFEl/A9hSe4faZRZDp/NrUYo1CZeWJCMbEwSSSFqCis02QeAFyLUd73dMshBBwIZ1CVIN6aUh/UA4pyMtC8YCZcYykDI3qQHyYUcIrJElk1cGI4VaFeMn+qOIzbMJOzalPPfKEYNkwD8+0eapkxGfub/GkydqHD9dI80UxAorFQiJlpVsUJGkWEOrjInz3AfOH03lsQpu/5gaAqHZsytl27qM/bsTXva8EdftSTlwPOQ3/vIC5/ufIAieXYis+Z1f+r2P8yvvX1Si/wVxz6PTfOq+BoOR5IkTlk8/0GQ61OzYnnL9/oTX3DLiFTclYF3Sp960XmdLMIIsdYDPA8kxBq/e8tYBGj+/JAxc6CykJU0s/aFj9JNnJX92Z0w/VTz2TI2jZ2IWehEjHUEQgQpRU4pICuoKGspSU7hxZsoXHinH2lEoXNKjCu5QEnlZEkcQR3jXxKXMw8AQhZnPiKbUawmXlzWfua9FuxszOy0IvBefF32JZ2M2UwkIjWQ0UqyfU7z2tiGffmjA6XaTQSidTAkgzCxhmnvW3mOX2tmFVGedyOJ3GBuMlUxoLYm0QgeKLHRjH9I0dFZqmNKMUl58fcYLrhnx5pcOOXxG8viBkEGieN9nGpy4GIKQ9AcBOlF5+SY2yAE+YRlV07djAAesQWiLMBbrGbze1IShQVjDK24e8Zpbhly3L2Xn9ozpENb7CWF7t46Igstc7t8rvuklz1Pv/ld/ltU3fMfXBnABWDn3m+/6y9aNxy5sxkgBdYOxhvm+Zl4bTiwZ7ntK88HPZGxYl2GN5ea9CW9/1bAoYN8wbbjp+oRmzd+gVhQ5MLHGb82H87T7gsefCFjsSOo1yQMHQj56T41hqhimigsXI4wISG2IESEEASIOCKQkUoKatNQ8sGNliZV1NeCB93yDkrmjvC+zALfyPZqiYO8oNERRXqClC/aOohSlEr7wqOIjX26hosDZbWP6+9kZPPfCtc4dD8VwGPLG2wfc8aUO7/v8NL2sRtPr8DDX4WmelLFFt5AQsgCY+1WyovUrADd+tEPgmDwMFFkQEGTaAV1plHKD9GdrGbfvy7htX4oVI9768r7faErw1/fEPHggoh4LFjqKx5+K6PSlV0mCZxXlxc4TrjXwpptS1s9o1wShDW9/1ZCbrk6xBjbMGtbNgEKAUBgtGQ0lxjrf+3W3WAyLN4azM79prfihr4nBl5Y7zM60pn75t/5qn5GhUrWWn0jqdZHKwFqM0YyM5lLbcGnFLS+HTzf46BfcnWi1ZXrWcOuNCa26qwNeMz1Zva2867DSUzz0ZESnrZCBdDNRbOCYSQSu4VMGIAOklIRSODBLSywNkXRAiBREqpzR50AuyoaHwDUC5I3HVXA7hvdltWHO4LpyZMRBirUJ5xYiklGNeFoS+bS38lV5Y1lMQUleFeu06E43iiQNmW0prlifEIkhgyxmkAnqgRuCmdeQ5AktJavlrbL4Xe535K6WKbOnxvgUeCmNskz7vIHyc9kz0kyjUpdLCJRGyozt641fMQzX7BiS2AEyMLTbgoeeDFjpS1ShWMaD6rEr7YuxmjXDC25MmZ412Myt7HXlzp2TuQEmkySm3EfJGIUxCm3cLJZUN1UtYN+m3d82lQy/uRPVxns3VwH83MUFLi8s/8rxo8dfHiRdNtQDOplkqBXaBlgbOjqWlSjX66jMGtr5EqQMnRXLhS80K3/iWgCv6jd/cYTA5Fsu4GtOhSqDHCm9lZWD2qedJX7j1tw3rjwGvpNe4bfeowC3a+tSRB7cUUBRYuoY3LN4YIh8djQMU+I45cyC4Y8/3YQgIpSiDDALeSJWMXjVH86HhDqwucE6SRryjtcO+Ku7BzxzqUVPhzQytymtqwK0ZSeOynMC1WAvL13MpZCsFHjlhylqYYJAEWo3LyX0QFeyTJq5unH/XBg/OEgTCIuwmvUNwze9yIDQXmbiMjMTNSvl3y/KR6PQaUA+jyVLJWkxek8WTlyZX1FuNosOGKUhvb4mSM+8vDF35lesyX7kqzL4n/3FnUgpolNnLhAF0PAlmYEQjIwgNQqNctGvrQQL5dksnyuLDivgXhPfObvlAB8PXoSURQuaEhAKl1aOhasWDKV7HUh8TYXvHs8LiQIqc1DwO7OVXfUlwGUhW+LIFi1tUWQqg3MyQs/eUZAiZcKpi4L5Tg0RBMSSMXkiq39W5XJXpcMY8LzTkWQhc1Mjdm4ecPDiiIEOGGqItSDUljDzOjyjcJbKFLoa61TIYztn4+bNBaIijQyBNmglUUG+fbnyxWpuWxkly0NIg/IgF/nvxtUkCWkL1ysHeu6ArQXwMrlXxmUFqIGqzWyKqlS30mV+unCWKYbtC5w69KnIrpHvWQXws6fPIATodOBGqhm31Oc/nApBmjsA+DoTVKVksgrkryZL8F05lcJ6IZCUKeJ8zHIoLKHwoM3HL/vnxXue7MtSUIoG20gJB/YxcEv3GOVAz4NPD+68+ycwhUQJA6dPoyglI+XjX6pzab5OOK2IqjUcVQeFCUVaTV0XHVBl0mc4chNs3/DCHl96Ykgnq9EPAuqZIfHpdCXLgqhy9qOh7BzKA01R2JLOOvQzVSxo5X5nYASZEgRa+l3sXC1P5oFeJtNMkWCT0lQSb/65rILb27zFXjHPcv0rhXZQzW6XmXK3kVbJ5IUj5KdsdQcZveH5NVeLMYA//MBdtFr1F/3lHZ+/5dSFRTKfdVSeNYUQBNYS+0yTscI/lmZ+fvd9tUkthSDJkwUCVP4oLAEUVpvyKWM336TUuCoHtvQDPb08qQK7mIOicP2IawE8Dzhz3R3kssR6vT1eSx6FKVGYcLFteORoHYLIjYCWtkjPFwzOOIvnzFX6wNW+VFl44mkacvNVI+ZmBrSXG/QzRUNBmLm/RWk3QEmlVYDjQF78IjlRqSl836RnQ2XQRhAagVYSrQxaCTIP8mrxWl4OIXOQV0Cdl0wIjAc5vqQ5z0SXSbuxYoyx+hWxGuyVhOD4pK28XMS14CVpxqWl5i1X7L7tRZ/81Ivvff3rXrU2wLesW0EFg296yXMXbvrIl7osDFrU/U8E/iQWFwXGL1IR2LifN2vcT8LbJ1UzKb/L86xYCQ5bMPhkCWeQ10b4GvC81NM1F+edKk6WqKJ7pQR23nzr2Ntr7oBCb+eWoGPsEtxhUZ2YIkj52D0xX3qqhYwDIinc/O2igrBsoysr/iazmf6CFSzull9tFINhyG3XDfjmF3f5vY+1SHRMT0tq2jLK8CtXterPeDlnJm6oZ2NyMIEsuq9ycGslUco4RpfSj5YwlVLkag2QLUE+lm3OmTxfpCsyVawm8+rIvbKGpSzKK+RLLmX8ayUNM62MU5d73Pn41pteVh99U5pm967J4L3OMVQw89rBwvv/0TMnD3BycY6BD2zyCUiqAtqCGQpQ2+L9sYtYYWwo5WEV3DkAZAUUkrLmoTraIGfufHqWEvkWgOXkqnxMRMHivhsmVOPgduMUJpjb92xGvr0tDPKGg6xypCSkfODzU2gbo4rsZTXALPsac2djTIMz0a5npJsOpfNgM0AQ8vZX9PmTj49YMSkDXWOgBWFGweLSz1zPi86cXTi5fkrKkElUQC7QgR/doDzIA4syTq64MXuugtFlj2VRmlxalNXqzrKMuWhKKYBeSpXVAB9f223uI08w+uQCoKQhClP2bO9QU49z9vKuf/Qv/vE33/W6kyc/ffWuXeMAP3rOMNVKrvqjP2fPf/2TGj3bZDYste5kwZDN9XZxxz1LrnSSxUWFySvypAD6RHlmocUnNGcO+upsD6VEqcV9xd3YsBsP7ECJ0kkp7EDXce8ak61n7jLADCrsHYcJjxyVHDlfw6oQJSWRNASTdRoVAT7pouRH0elkRMWvdiBPs5A9W1OuvbLHlw/XSVXEIBPUJITaEuSbCQjfhZN5HY50cmHsV4oKi4uKNCpHeeT9tIEqJwMrL/1KcOe1QNaXCeRMTrF6iAq4EfnErLXZe62vMoQTY88r90BxQyWZZONMxI+9/SzB9Nk9jah/Vbxu8OlVDH74dIfpVsZTp0OW+uvYOC1p5L17eYlqfiPZiQ9CRUd9lY9dlSYF4KtAr4BbFTXfpe1WShbhuudFCW4XZIqiWzwowC3HAF4d/uO67SmAXWQrC+bWRIFL7LiuoBRLyl98vsHiYh0RB853r96EkzUolQsz1rtoxll1zJs2ijQNWL9O8rZXdnnk6BQjXaOvIuraafG8nFVJPLjztcJ4T7waDckxRnSesq3cYNWGX4ky+Ypki+ey2Fbda3CZ73eUSxNZNkdMMvhE00qZ7lvbOp5UAlT+icDJMmPzW7dOK56mOZUhs3mE7Rf/tgD4L//2x1BKsrjY5opZRSM0bhkUdkJHrvGLv8I74x+7/IBirccqoKssPjZerGRsWWVwJSosnssViQrGAR4FfgBQmG8d6DOcgSUsUvHGP9djR6Bc584zp+CDd7YYyQgllc9ejt+IkxnMZzt3hZNScVOMZ/BMB8Q64G2vGfKHn+zzxPE6qQrpS0mkjXePBFJXp4pZ114mqmuq8b9rfN+iKpNrA0FhIbrR1sqXBChty2GdxVwWUdzQ2YQed9ezWixHhclzkH8t6/24Pq/+W2FcYisfvTFKFEN9jGjlvS4pWQX46TPnuGL71sY/+8nf2v1w5zKNui02TaoCMK+KnPxoXyF9U/lQk89Xa+9nlyiiAM7kOGRZYew8yMynNgVBvsmr195qAtx5+j7MG5ONmxlStIjlPZ2ZP1JUmHDkXEA3iUAFXp7YifLYyRt3/ISMDzSa8MJ9N06Z+AlohoJ924Y8cSRBm5iBiahpV7MdVPY9SnMWL9jSkAeZJZNXvWWXtgiKwabuPWXcwNTA4DuILNKUEwLy6Vo67+4vDIAyuCwCz4nrnSNmVcPExGu76slqfI3LoYBBEtGSO3bvfe7/2Vhe+on+7LotDuDnzl2k3W6/5jlXr//xQ08/SaPparTNhLBeBeyxYGA1uMdA7f+v+j2By+dUgVACu+xjVBVWVGNDNXOQU9ZIqwqoi+c+yaPwXrgDtwNwORQorMqTKnsr39cZJSx1Df/vX7ZYHNQQcejkibRjq0o5OOeriLai5kj4nVeqDF4mNKYaAe/8li6fe2SKxVFEIgMGUhL5Hspy5EMuJSv19MIUZbQW48FtsMgJZ0V4BrdFkJ6DXUnhGdxJIl24KFDOpBzvkx0HXx54llbh2LlZY5V7NoAXpkb+w0W5Q0i6AlubO3787Okj92bp4K/AM/hTzxygFkecP3+GZqxBhKS6nES01kTXr5a/yT9x9UOPD3acYG3KtLabkzcpUcYH0xTAlm47umJCUwXUgZQEXpIEBcBzzW2KoDIMTAHuMMjrL8bZO1QpUZTw558PefpYHWSIlJI4L42tWJvFHvH+j3zWakLKc1t2l5cgz4z0mzyFXL+nz5te3OEPP1nDBDEDGRFLUSR9lBSklYBukslFlcnX8JatdYNRlXWrgmtDpJjtqPww1XKsRDmLppxM6/o4hRyXJ4WzMoaB8vXX8jWWO6w2LvvzlWpJr5ehz5xjMIrQmdsYIgBo1CLiWkSjFtCoSSxuFzS3z3s+nUiQbwOdi/1nBXn+R1TcEvd2XphvVw2UGfOMi8BSlGxeMORXA7gsAV4kenKAWzcn20uRUJVuSVgZDlRqbsfeYeCmVi23DX/9hRYL7Rhq3j0RlWDsWSQKQowzeR6kr2XbVacS6NxNCZidUvyDl/e540tDFnsxiQoYaOntSeFjJVE2Y8vJxIpj7/wtU7B5TmKCIHdWlH/uh6gaCVpRnPcqyIUUle77fIinlyZjelxMyBUxDnBhEWvobYQd98nH7E7fzJEJklTSG1qaOgQZYfwNFBw7dozZ2dldDz308I+uLC/QbISkmfuPSZEPKy+7ccrxxWskcvLTWXEPLBMXuwL08UOsLVHyxMkYsMdnf1c7XNxwd8bBne9skDO3qjD3KgbPx02UIycC5TKXJ04KDp+qYYgRMiiac8vqwWr8ICquRvnHV2tRSiYXFXkiCiejaDfTAdiA/TsT9mwZsniwjtWRY3HtZEpQcXFK9qwWeuV1QrK0dK1nc1v65EaWc0qqsY0y7qYxfkODIqElSzIqwG2En6WSa3IxIVXEBB5s8WKNkHKs+ysn2LIlz+25mSSuYeTs+cts3LLvR2+86dbHThw/djKw1pAko81K2tcOByvU4wBrNTrwy4h2S92YTHmWuqniI01oqslZGjmgq6nssfcqvYylMyEqwWYJaMfg+FHAVR+8evgtrVUV3BWQ+/3qQ18amrO38q+DIEWplI9/ucWRhTpEpTwJK9bl2A3L6nERk1/jY87K1LSp7m6Wl9EmAVeuT3jDbX0efKYBJiTTTouH2md39bhUKpmzasl5kOer8tj4PIGR/rnftMDI/HDnXvsVQwrP6iZfYW1BTGXCp/rcs3Slva1oe6mCWzz7uVq16plyg6skgzRTLMwvcW2qX5uMRpszrU8GkZ80Wo9hqilp93KGtEjjTpwWueZZna1c44Yrge3R/Kz2YH4SGNfapUwRRRnoJLALNlei0oRbAbefT1hu28FqYAflgKBixFtgPMgzJ09USr2R8OVDir/6QpPBMIJGQCAFoRiXJpOfv/o3r3nRmNDfE5Zh1RdPs4DpVsCbXzbkk1/q88ChCNsMGeiYSFDcaKr4/aUOrqylBcirW0654NPfYMqxuZZOj5sKa+dBvfHBpTSior9FJdAdj6FK3V3GBe49MQF0vuJXdepZdYc9t3WKINXQHRgGI7etS5IaAimdKd6o95lupMwvx2g/iCIHXVkUuNqAX+szTVqCqwE+KVHGJ5qWwaUoQFPMy1OV3RuU8LUpJbhLkOdls5YgKEcoB34TpkCNAz0s2NodSrkAM4oS0kTzyfsaPHO6AWGIkMqDys8NqQSXQo5f1EnXKD9xBWv7uMZWMpn5CI5ci+d2YZIEXLMj43Uv7PH4yTqjLELLkIFRRJqJz5J74UwwuHtcVfCp8pvNYJRA5U3iUmAVSFvq8WJFlSBNZZahKVcNOQnwybiECeB/jZnOyTF/1jgsKeWcsd4go90bMhgO6A+HBN/x4+8HIclGA+pZxuYZ35VR5P/t+PDIrxZYjoF89fjdtZh7HNQ5Y1cDzHIHglKaVKzCgrFzgJeTUwuJ4pnbMbYtmDooHsvnoQ8uA5USRwlPnRJ8+ksN+oMImiFS5JWDVOzBNbKYlb+zsqaVhUNYr4Grg+QnEj6VAqwkDWm1El53+4g77h7y+PEYgoihkUReiyvjNtitSgOhKeSBm4VWREsFsK11K18hXaRj85wp8yDfWAd2acpEmzBVN8Vfc1My+2SOYxXAJ0A/frbWxl71ufSNL43Y8K2v6nHDvr9gffTXpNOWYP5iHysEwhhMoOjHhlrkHIhqI+sYkJ/lNlvT9y4+uBi7g9dkcVkBe1VzFyB3eruazVTKVxj6ikLXzuWfB9X54BPg9keYT6H1Bf6BytwRpIRhSmY1H7u3zhefqkMtAOkamsNKCe9YaWz1qL54NjaqxDbWj5XOm5G1zeealEAfDUNeen2fN7yoz9OnamRZiBWKgQgINcVnErpk8fIjrM3k1SH2SuXM7djcvRZIIwodXvj9OaPnq61n8GJo5wS4xwLOMZDbMZx9LfiafD+QlnpNM9WISEdDlpdHGA3B/i0xUkhGSUIyysaWUeT4HfeVfpGo/N8kY5fP3QtZBXilrau6s8AYsMekSjVNXznUBLhV5QjKTVBzQIcVUOfOiXNM3KNSKVGY8thJyQc/3wIikCFCqKKLSPmNVKtZ16ojlMNKFOekIuoqBWolc1c0uBUY7Vr3XJG/KtL31ga8/RUDPnPfkIeOuUkCqVH0tfAFXx50OgdOpQ6kvL1wktM6Fq8APf+u8qA30u/nkwfFufaWns2FeyyuoakM7JSVm38sAVZKkvJ8jQeakzAr3KDK61xdCF/K3elHnLowhVIh1lqCeuQNekBat4difpFyG0iU//W1P0DldcnconKH+veoTFmd0N2lVBE+WVBaTznAizl5VZD71rRysym3s0M5AL8E9xhrVx7zxtpcqiiVEYYZqc6464E6Tx6tQxiCdMFlJGxlcmw1sBKrAqtJeZJfIlt5UjRAVGpExqoLtcQo76jogFESct2eIS+91bH4QDsWH4mIoYFAizLw07ld6OssdOUmo9y1btK6VBKsskgrUBaX/bQCYQVWgLSilCqVoLJkb39dTfXGr8x1XyMP4s7ShBZfJX1LHAoBVlp343k/fIgCqVDKtVUG+WWQvkHAZf7Gs4allrbj4C5+mRj7IFUzv/he5Q8r7KsJx2R8j5iJ+hNBsfdOsXtx3nw71vBQbl2i1AS4K0PxC/dEaVRQAbiXKFGQcuSC4L2fbDFKQ2iEXp5QtKap6i7BxY1bxh9jemXyy44DvSpTqpsDGLuWFg9oxpLvfl2fj32xyaFz7ubTRtHXylUZap/8QTj9rf1YjomVxOZArwBc2lKLS6/RpbFY6a6RlcIB3FRipZzJTTWWWmNlqwC66tFXSbDA0gSRrpY1uORQTuqZBGuJY0eSBlC//uu/timOgv944sSp/ZHfFTev4ShtufzulOOyQUzo5Mr3lKy4HVL4GpLxQ+VLnxS+DFP4eXgVV2TiyEcmVD3u4jEodbdzUMbBXd2rpyym8rs/BGnRzBAGCVom/OFHG/zJp2cgjkHVUCqgoSx1Zf04CooG57DSGldmUquJKEk5GZaxALWMJUrbMb9phcQ3/pa9kEpahDVcsTnh3ILk4ScjMuEmDxihEMKV0q4V94wzYgkOUX1tK6Kmag+XvF/ekFRvzvHOrjWP6r+ZyEpa3+dbfVxrkH7xeyYmpeXdP0JYrtj93M1X7nvxZ4ML58/O6KT3ejcgPiy950ltJCZYe03NtPbPV5+XCYCqezJRg1Jl7bE6cDumvWUBhlKSqIr2VsVOD5WNqJSdkCR5pWDO3ilhkHL4vOT9n2vg5q849i469/PfLxgbLywrf3c10BTVFwWAJsBhqrUh5VxBF3j6rKaVGK3QymtxHfBtr+zzkbsaHDgbgkywQjLUIQG+XiQ/19rDU+eJnxyqFelkre/ScpI1/2zSg0paJ2OlFYXultb9Dmu8P258gDq2Oo+z+ZrSZOxGrEqT8Vqe8udLP92YMoZLpaU3zJha6L9+mJ2bCQKZEYeW6VaAkmqsUmsMxGP/8fIb49+rJHXGGKMaTU/IkqqOlePPqwB3XSS5/q48z4GcV7vlGrwCbjeR1fhHZwcqZVC5360ylMxQXp5olfHRe5scOFJqbymk876LDhrWvICCyddi7BxWmTBfnKu9rWOeeGUiVWCEq02RZQo/SQOuuWrEG1/U49j7YxKtQARoETAQgkB7+y4nH3JHRYzxcRECe71krUBZZ2GCkybWWq/F/SFsmeIXYKQDvsllSsWgqIK9CuRVYK9iqvL+anBPYK2yIGEFo0SwuKzJbEIQh25jpWYtAKH8Tg0861fV364yeHXfyvwmKO/QyT9wdSJg7eaGcdbOX+esnYM9Z+4C6KrK5KXuVnkQmW9xIg2BLIfmK6UJw5TjFxS/9eEphjIkn6BVds37FaRaA13Vk5Os8CxfxUiZIk1uixqLMmVf1eBirD5Fm4BMh8Q640fe0uMv72pw7HwAKgUTkIqQgRAoXToashpsToA89+YtEOQ3nH9PWpeet1jP2rknbsbY3PrfY6RA2HL1WG0meOBXAFoF+6rHiRvg2U5vvvINhoIk88TQrFtGdbdNXmYlWZbvV1lG2OMR7TiQy1iqEkz6HyiXocpzL3/WYsAqsMUEa+eJlHFwm1KiyHEGD8b8bQ/mMb+7ckjH4mGQ0EkMv3fHFOcux6ACbw1KL0/smO9dPIfxG7hgn/FE15pAp6ov88aDao9mnpaWxVE0Q0iFzgK2bRjxA2/q8kvvjWinLiCwVjIyytmGumISaEGpsEuQl//vvqP8XejnN5WPsnR8pLQlg9vKtfOWoS0Y/FkCzgojmxxTE8y96nEMi+NkYayrgO0PNb2BJqppgrw/MQwFZAJUuaX2Gvy96g7L31v14SqgzluV3L6L40CYZO4c2CVrl1NaC/b2BfcloCtMHhjP6KaQJk6OmIpUyRk7Kx4DlRLEKR/6WMy7/mKKkQmdPBGqkCdFU/GEJTamuwtJJsbO27OxeI6r0iqsgj5P2Vu3wZeplNLmE55MQC3I+KG39jh8KuI9H3VaHBRaSIbGBZxSUzB4WYCVX6wydV+1Kx2oS8lirWdzUQLKkY4rdbVjiR8nY4q6dI8HUyW5McyINcG9FmuvlYdxTQ+QadfZlGaGNLMEw8RtdqQ1BQO75ai6hE0AfC0Gn/C9xy68L0N+1tY0WVlGxySKrQSZfovu6paBquo6mIpUycFcYXJZVgcWurt4dLMGl5bhLz/XYHmUg9sBPJROewdiXJ6MrTq5XbbGBaniu6q1C/bx3xir6pvcetFM1IlLiTIKYwIyHTAdad7yqj4fubfBYleBTMEoUpwen6wuFBPX9dmY3OWByqRQXp+SB5vWs3gBaO+TG8sEY7vriRCO4fFSBsobbg0sjcmUCeaeBHhemamk8HMmJUGW4RGPm285lvkSa16ssX3iK9+UYvxDTLajrRmQVdueRKmzS+DYMe1dWmmrg8p8OE0Jbj0WYOZBZr7PTVBh77CR8bEv1HjgyTqmor1dU0MuT8brTYrWrAp7Vz3/qhW+Nol79iwstFKiTDZD2GrQaSXKlr54pkMCk/GC6xO++fl9/vjjEagEhMQKwcgEKCHcFiR5oClKUE/KldwatNbZtTmzK1nKKCsrhWLSydox5rbCJ2LKc2NyEsvZ2ubfKy3NKnmu1uMT8rh6XnMPX+YDnvxUhUHidtQdpYa4qAQTq3/BxPNVy8jEHTepSXOZkhfFF1JlgrGFmGBvMQ7s0kXxr5Ul8CPGpPSOibReV1ckSe6YyIpEkc49icOUY6cl7/1Yi4vdyO13Ld2gdyUod2yYiBdW6e6q77wGe69iHUr2Hvd5J7ZazPc8Guu6d/vnuEe3/cmmpuZ7vrnHvU/GHLskQaSAwiAZClnZRMqBKge1GLsLS5lU/H+RzfTXocrmwj3PwZzLlnwldt/LZ78Lr7er0qVk8FLaVrOZVeDbCYBPlmK7vy8K3RY0dcfghjR1eiUMx8eOlZpy/E6aBH/xvAL6KqARVJbIcd2dL13FiS/qqyvMrXLAT4C8mJE9+VwX2jtn8SAfB6wylNQE3haMopSRNvzOn0/xxUfqrrdNOkdJSum6dkQ5f6X4rPnKwsT5mmDyKs6rWF+dwSxdi3KP92r5bLWM1rWb5eOEtTZkMkBlAS99bsIPvr3Dz/5OxCiTLgNlJJl3VaQRlc9mPYCqZXquJY3K53OvRSU28N311qXKXYApihugCDqLm94WTguV688kztbQ3nm3z1cmWV8y6wcgKeEUZhBAMBoZksSgtSkAuVYA9ZWYfPwumrjI2PEG4glNVurYNdi7sv+8XEueSFt0e7tts01FolTG/ua628+4LoJLmRFGGZ9/KOQjX2wwSkKoB4X2Lti7CGwZO9by9qsEIMgDzrXpu1rYVIwSHgM3WJVXGY7XimsjkcZJlRzoWRZQb2S85aUD7vzigM88pJxtiAQhSUXAIF9FCwYsC7LAsXA1/irtwkpdivSfU7rdF4QoX1svTXKg59fXCoHxyRmbs7dkjBwL3Kz16J9XK2nK81+WhShfWVqLLPXYEEhV6Yop9kFnrArs2aLYVVFu8SHLuRdFEwBrs7io6u2qtywrjkWuf4v91N3rQnsXk1BLYAdqAuiqBHfgwR2FKSs9y8fubXDoQs1JE+FKYkWuvQWVCVJ2FbiLG7f4+0UF6F9Bn+Tg9unl3JKbTGEX4F41HKisUZFSIY1GmoB0FLB3c8o3v7jHAwci2olPvxqnxxMU+T4QEu+Nj5XRlixmccmd4oaUzm1RvqWtZPNcqviEj/A15AXQK3LE/7mIvAKx0v1fJdQJ0qzirvoJyQNoHysIn9XU2h3BVFORjQIaNVXUVlS3nxbl7/qKQM+1nGDt4FLgTkSxSsg84JgIMidmbpTgzn3wMriUxWB2O8bYYwFlnsipuijSdcobNH/08Trv+nALKwLne4+xN6X2lmt87srfx9i5GF9Sn429xyr5mNTftnAGJlvZTJ62NwajJUY6X1xJQ6pDpDL80Jv7HD0f8q6PBKRZCXKDYCQkyuSDJDy4q61tBahzXeEWgQL+wpZdNTnQhQOyzP+ZyKVKOWIitwptvhW8KOVRmdWuBL75uaxq7/zjVj6LQSCMc2WshTQxtHsCFbudQFAKvy97qcEZ+4+tNsXXinRXJzvGs3xjDF4NKivv5R53zuzlTDzvfU84JjIHt5qQJxN71iu/94zT4ClhlHL0ouQjdzXp9UKoq9XsXdR8V1YXUSZ4xiTZxPM8OPpqHG5LDVCRA7kWF2PuifVNBwXQZQ50iZFOi0sZkKaaVjPjzS/r88l76hy94JMKrigaLQQDt9a4z2j8hbYl2G0Bau+W4JM/xYKTOyl56t6xt5vxLiryZBzouaSTVVIUPilUwRD+v1MEwWtxRfFGGUtk2mKNIc2c7A6mmhE2C5hquAmrVV1Y3MxrJH1WeZTPAur8Q8tcc4lJBrRj8kQUs+9K96QAd87cojqYPXdOzNh2G7IiS6T0joln8iDIGKWGO+9v8rlH6244uAwdwCfYOy/yUkIwFgxTDaImmLxykb6Wr4LNi9R9JTtnfPaw2D3abUXidLcpZYqRaCFRWmKEIh0FvOqmhFe9YMCZT4SMjNedrhKKjIChAGkq21YJURjYORJUgaTcUfG14oIC+FaIkuytu6ZW+MBzDOhlRtUUslX481Xal6X0tWPKofwkojxzFccnXxG1ztBGIkRAsH379pVaMPjkYFn+w2GiXXF9fmKrsyjW+JqMdle5L5U66XH9bQvdVC5fOegrjF0AOwd6WTY67pyM629VpN915XmGlK5TR0YZdz8U8ct/MI22QemcSIUQ0u0DJMq0/DiDVx2ftdn7a0hiVlhkrTLSagOE98bJpzj5YixROiqFJpfOGxcmIMsMUaT5ie/tcOhswN0PSkwkPGTdH5AaxYCqoLIVWbKGJi+8cL/a5p/XB5S5Dhf+BjCUoyRsFQ9Q+uSrmiDs2Dlcs5XNTmReyasvrduOEIUK65/cum3bivqW1871THLxWBDYH9Q6oyxhrVxAWbLV2Hiy3OYbq/yzRXPCWgVT1SKpMvWe24FlKl5NVgdWAsqioOpZwF2VKsFYQsf1Wp5dEvzye6e599Gm25RHRr4kNiSQgrqEWOI3ubKra7fHDt8cUgzJGR9GlNe8SzXRMF05b+VrUbnpJ7K6VTKozAEUk1Kv+j0L6+cy4sDywBMRK4OKNebDzHyKeFlx6JAkxoD/tdytlRuhxOGEW1Sd913+bNUqdd8b/7mxeTy23A7cTcV1IwYz7dL0o8RgiDh+ev577r3/6UOB9sU84EYsgN9YVLsJS5K8uLxCOWNMZceYvMrUYwGmlx9VNh/zk8e2xRiXJnINzZ3vMLDmoaqBpS+F9c91pHnvHdP81Rea2JoC4VqcEAFCyrF+y7K/8St0zFfZ59nyyBNvW8a5cRIQ7vl4t/1kh4/x8wOtZ25rTVmjIiTSKLQIkAPNW14+4JnjIb/y7oAkzir6UmBNyAjfXZXn17UzsS22AkqXfLHeistB4w0gF2zmjIxjcynGF4T8+ltB2WmUr/Da3WXS+vfthIkxqSI80AvmzutQtBvylP/bwOR9dtbVc4zfvS5CxdpywP7kL2ZCjrAWyO2ERKk6J5bJEbxjYM/9buEBXtHeYwwudcVJqYJbIyu1J595MOYPPtFkqH2VmcitQZ+1FHZMe6+Zmq8CHSZu5vHHr8Z+Nj+/eRYRxm1C7KoSWisrmU1ZcVaEcoVZ0hdnSYM2AXFo+N439Ljv8YjPPOrswtwbRwqMDRgZ145WFJFMWoceqYWUEsLtrScmQJ43PVQ0d/4zOWhFkc4vScLivm+rMsafwGqQWcW5k9IluLPM7VQReQxaIDA6zxS5zZe0AaxytQXG+Z15R0fBRgWw7eoLPPaenWDrNZyTHOBVe7AKblHu7KVW6XAz7oFPsrfUZYAZpPRH8Au/P83xczE2KHdLHtPeuUQaA/YEoFkDzAWEJ0L+ryDIqzZhwewVPV4WX1X1+OraFCN9xaGssrhCaIMQATIxXLkt5ae/r819PxbTHfo/xsjic2kChjZfhnNbpAS5lYDxoLYUDovyAaWV+K4kD2YP4jLJU8kZVH5G2kqK3k4SRd53SUG81XOX18LkEiXRkKaWOPapKWsJNm6cAgKsWSEbLdIf1si0RGTlLbNW4DRWaDTJ2LlsqQyDrM6MLkFfGb27pkQxFR+80pfo2bxg7jHXpLI7r/e8gyAl0/DfPtTi0YM153nLnLlL5yQU47JEiXHWFlWwT9zYPnKiOnRzLb5exeQTzknZAFFeQAdmu7raUDgGL4JOIx3ItcQIf2gvVYzh5v0p7/zWNv/lz2dItGdxKKJCjWJkci3uc+0VkBcSRVSynMKlxm2VzSUIUzK3lGXxnsjBLRh/PumiVBnfY8qucVYLMjAwTCwrfZiZm2J2book1QQ3Pf9ViGCatPNl5k8+xpnL2+j0Qz/8cXxNKEx5OXGHTQC72mk+OQx9vJajuoHRuCwpZcr4/owle+tSl1eTOmOHDyxrms/eH/OeD7VoD0LnAXrPG9+k65yTMmtZLeVVY597tf4ua3LGp1iV+6tNXJEJ1l51wcaAbivOSpW1/VTYXJJUk0DC2YhaKqQ1rl4lU0zVDN//1j4PPx1z55cVNDLP1P4TSkFmJENKiZqD3OJKYylsS+d5+1jVlfXmEsZ31lflSyFLhNPZY/53VfYxLl0KLe6vAVSdFVG4bALojgQHL4544z98Dm98xXNYWOoSiEAQRIq21hw53+fSAgyHAZmWwMSOvas09fjd99WALQrtbSuadkKWVCRJKVPKHXYdwPW43y2dFSiLfdVdYCllhgwyDp4M+K0PTnF0MXKpWu93u0dZsnel4XkM5GvJkzFpMjGtabUaGVcpq9yFKouXiZWiEYK10vgTQ4LyQixrik1lRS5VhEXIAJla9qzL+JG3dTl5MeDIOYENqgJLgAzRHuRMgBwfGDpge+ki3DqgPLvngWaeCS9YfFK65OetwtL22YDuP4khL+IrGyhceaybaCBrmpFYZrqRomRAFEqCkxcazM3GfObBOX7pN3eyf0uLG69StBquNCPA3yET4F4LzOPB5URgKas/W8qTMeb2UkV5GVIyeUV3K+NfTyZzSqArpZEyI4ozLrYFv/DuKT7y+QY2VGU63kuTtdhbVW7A1c5JCe61kjpjCTBRAXXlZ8ZYewLs+Xura1KqOjwHdDUAzTt/HINLkT/3wac2ZBhC6VyV9kjy47+muLQiIK7SrcASFExeyhN/o+WPnrWVBGu8fCncFOGDzHEmF9K5JbnjUmrs8ebzPKvplIIHuhTe0XM3U64klHL7nzYbATftzdiyQbJxt2RuVjLbkMhLi3UuL09dbLebn75x5zZmG4ZhAmnqmjbzLbrzD1AWHVU8azmeUi8q/So+du56yMr3cuDmHveYQ6JKa7CoO8krBic8b5kHkyrzz12tSYLho1+q89kHG77WJLcEpWfwnL3LXYOr8warbsmqstiKFqfyvUnmLpMTa7B5tRalCmhy5hZl4FZpI8sdlKoed9dKjk3EcllP5d9zz7MsQFjJa54/5I0v7BOJDLIMTH6kYDOstWQWhgZGRpAYSI0gs5AVQ/oh83tsZsa5i+VWhH63Ch8U69y3LvxrP/bY7yBivJ+d/3tjKz/j3ZJy28XyGigpCENBLRZcXg4YJPvYONP89K5t8cUdG0PUu3/313nVy29fmWmKlUakv7PdXqRRD109bXXozhhw89LVahKnWiBFCeqcCcfKXZkA8fiNMa65y2IqKVczd7UjPvDgDoIMLQ13fLHOv//daU5cjH0TQ5nQQQYIKYgl1KQbZB/4MXD5bPEymVOOhnP2YTmYv5hyK0BKSbGtihgf0u8aSeR44iZ36iaPakBbLWOoBOzV7ic3pSDfNmTtkuSxyjxjWTelueaqjDOXFUdOB84Ormjb/B/lDkg5/mLyZybv5Mmb3P93Vi9aq+OQspprTT7Axz5Oj/sdPWS5F6rODFPrrkSL9f/X4cOn7t9//YvdHj1ZliGlWwBqkdsotdDDFQkxDuJxHT1eb7LaChwLMiflimfzcf/byxRVuiayIkVycMtKQJlbgmGoObEgec+Hmxw6FkNLFZLEJXac9s6lSdFnyaRHz9od85Vgs7jkYjygFGsyeemirJXscaxtJhI+pYsii4zfePpeCjDG7Tqce+MiZ3afjhbCuKlX1nnj6ciyf0/K976ly4NPRpycryxVRdDpZEiGYChccIkf4WZNtQ6l1OVFjcq46kGIvMS2TOIUiaCKLKlah2PJIlE9U662vLp5QF5kNRxpRklCmqSA34Tq2mv3U6vVUdKyOH+mGH1WHShfHbpTppFLPV31uNcKNMdALm3l31KCuQJsUQSX+fcMZeFURZYU73n2VpqlruDX/2SKux6tlVWCecbSg1tJ/A7F1THIpfVZ7WxayxZcC/iTFvjX+lXtrh+rKrRV+eLT2sYByvjZgFZUwF/JdEphXYOBcefZCOVeC+VuI2HQfcPLbxrxz9/R4T/8/gzLg9JNcd6b8CAPyKQoHJQc5BifAMwB78nCfUaKhuQCoNaBNgfxGLjzczzhkRdFW5XzI4zFCJ9pN66CME3dPi4bNm3jqqv2MxwM83sUNm/ezNVX772z11365alW7Pdqr+6IMDlzpOJDV+pEVskM4UA6pqu9nz0uRcp6ktItmejKWVUdmD/PxhI6Q2n5nQ83efeHWnRT37eUM7d3TdzsvtI5GSuqojzZk9nLMaZeE8zjc66/FqRPdtcXQM6/V3VbKnZhlb3GRr5NDAwyVhbtbfkAT2PLPThbAfzgW7v80Fu61E0GRoPNH1Ony22GNU6Tj7wmT/2RWUFqcLPMrdfihR4X7tEfWVWLj224Vf6bqvYu/zvWHbp8P9OusMplMA2jVCNVyKVLC7981VV771y/YVMJ8E2btvBHv/+r/XS0dKJZV5XdEKq7IuSNBJWCJ+kbfitauQw0PWArwWIpd8wEiHPmrrxfkSQyd0ZEhcHVOHNLmUFoeOZYyJ/d2aCT+u4NcmDnvrdE4KVJcdhS1/q4Yc1MZVXHUrL2qtR85d98LUgv29UmLMM80CyGU1ZvgkpTcgFqOf66GDWRv6ewvr3NWIU1iixVtALLd7ymxzVXj5A6K0A9DnZdgtzigk4P7swD2x0VkOfBZh44ToC5vAnKeYy6EqxmHuiZB3ZmrC+qct9LM0uWufqTNLVoIzl/aeHEz/77X+pv3bqlBDjAi176el7+yn/Ijp1XgciIApe6dzv/2oLVXXXeRFXfGINXGLvqmFQDxjEPu/x5uQrYJbvLqjxZIxUfhJqnj4e885dmefJIjA1lKUsKBpcVW9AWg3wmd2pYyxpcS6aMJXYqgVjpE36NcsWOPx33xSftwnIL7rFNXCt9m8XAICsLf9xWJmMZo/z4N4W2ASZR3HhVym/++ArX7RlBqkuQF0fqwe7dFe+wJMaBPDWCtGDrEvBVkGcVNl8FZl/cN3YTVP4bBbB9QVWauY+ZZG7QzyhJ2bv3ar7tbW/hzW/65uJ8BvmT1tQscVwnjmNC5bYxyfdwH++qGfe63UVf6/VaetyO629pEaKivyvsPs70GpFLHVUCW/qEThAaulby2x9u8tiBGK0qrC3KehOo2IJjoK5WNJasPDl3cNVYiDGwl6z+FcpP1pQnYxivZDGLPs2x96vMPlEzbt3cbjdt1Tk5Ns9sCh/CCukzztLpcWPRGAJhufmaEf/0zT1+4r+EdDMBIRRFJEWWRYBRaCFI8jY2I1wmxz9aXDNyntDPA2hpAFEGoAKKnSGE8DdscU7LYDQf6yZ8zkkat51hfvNYa/0WJjU2rJ+j3x+sBngQBARhdHRqqn5s41xtT6h6RKG3+3IwUrWcqmWyE88nQC6ldQNnZCUoXQV2gxLGpfCLehNdAbz29SgaKTRKZCihCUJN38B7PtLkg59tMsrBPMHcCGfRFQVVz8LeX7FSUJTAHk/miFKyrEL2V5Mnk+w9AYyKDjeUhW/j3ngJeAduifSAF1YgfI2KsBJhrT+kD0AVwjo9GwnL217V58CpgPd8uEUvxZ0wA0WWReafVKGNpNg82afqXY2My1YqkdeqVF2V8UaHao6lSM1T2oGlNLRjr4v2QWlJEsPcbIMorh+L4+ho4h2UMYBv2LiVk4f++tNbN0XvU2nzp3sr8ygVFCAdu5aVqZzjtpgtPkzJ3tXifFMBOKU1WOjz6usJmZI7JyJnb40KMroJvOdjTf6fd09xeTl0c0DGNHd+iAp721XZylUzW6rlv0yAvfp6grXHvie+MrhzVFcLrYr3xl6KEuiWCluXVpkwnrGpsHnhsjgtXmwChWfv3GVBIgjItGXzXMZPfV8bLPzBR1t0U88AJrcQLUUjMs6eTPy3LW4OovUnwPpkoPsNfs6hcG5cPrW2sAftxPnMIVbVgNVnBc4EaWrYtHU9RrXe94E77vn0979jDYkCUK8JpIo+Pjc9fFNdpDelWYaxsjjJZY9mxbYZA7r1Jrx7LisgH7MKC489977HmXsc3HoVuPP+Slmz/NXHG/zi701xcSmESK3B3uMZy1CUCZzcORnzvOFZvG8xBt7qzV0Ce+LN/59f1YxmCX5RvLF26t6lyt1UqQrQvT4XtvTEhchZG/+Yg96xOCYgTSxbZjU/9f0dFjuS932sBTW/dKxicg9yJCkuLohEpejKZ2JLBhduVIXJ7UExDm5b3cqEvNylItMqq5sFi0QbS2ZjFobBY1Fc//gwHb8AYwDftPONXHrmh+5t1XlImeSmUWLRJlidGq5YVfmFGdOgEwwuJhh7TKZMgltqD3q9JnMXCZ3YcPRswB9/rMmF+cj53auA7frmhNfcuXMS+MTEZKdOtRG6AHOFMarWSLGEVjH9tamS4px9xe9XCq9y0lzVu1k8isIfL4Cd63DjtgORwjUrl9JEIkzJ4rlqNkKRJZYt6zXv+KY+9z0ecexcBLH/w4xdE+QWSVYgXhQsnwNdVbR48bmrFmy1sMoDamzVohyh4QJm0MAog0yFHFtMHvrpd3323kN3/NtnBzhA1LgShESnTyFoY6yujOutTDj1JzKveHM3W7VGfDzQlBNMXiZ01mBtYRBrgtsfkeHY+YB/+5szfP7hmmugHPO6q96387zzMRDBGlO21hrmM/YzY4OLJmQK+aAfUWB7XKaML71ruST5XVHdC2fVSLdKA3jO3g747gYQPsBcqyhL4Kw4YaRPEkmEASEMIpcuWLRQYBxBmaHllc8b8vPvbPMzvznN8QuRY4gCwP4xX/I8eDPc5k/alG5Vzt7jWty1Qkqf2ZSiBLbIz09l1Rp3Z5xjk1rBMDNsmKtx87U70MZy6I5xPK8CeGPDt4IIErIFAnERY93uXfkejZlWaGMRWvpWtxza5Q1dsnhZISgopUn5/oRjIow76d45ceAupYqUGSo0nLwc8O9+e5oP3tkgEX43qoKxx3W3izqAiQAALZdJREFUxLF3Wee9xvbbk3XtuQSZAGcB4MrPVO3Ar0jc1W9O0HcO+CK8mSzSyEtoq0t1pU6cHPRjmc2yEUIaB2EjHMhFkQnNAV9GsblkyYylFmS8/dV9tIGf+W/TnLosnLOCZ/DcBinYXGFxyZ0cxGVvpwO08j9lbW7KuHkmuQrIQV4FuPHATq1gqAX9wj402Czl6l0b+cnve22SpBkf/I9fBeAq2owIZn6sMbP7Wqsee7nOOmgdkaQRo9QgRIjIAjS4cWCV6q5JcJcuiilYvWBu/zy3/0Shx/WYNTiWhg80p+ZDfuI3pvnQZxok0tcTiLWOasayMrzek8+a0oQS7GNj61Y5KeNsvYq2/wZfk7iu1oWvTtu7X1qMTPAMPumVF/p7TIdXQe7HwfpeGePBnTcUZxmEgeY7XjcgUPCTvzHDqcsRfg7z+E1YBJ/umwZR6HIjBQZbgK0IOv3fJ2xl47NK6tYiikrExEJfC3ra1U6RJZCN2Dwdc9t1W75w075tPza/3Ft1XuXkGyqcxaz8UUeq5qGzi7E+fC7j3MKQWtynFiV+vojxOtUd1aKsIoislMQWwK7KElXV2BU54h+FKD1wKTOk0pxfUvzUf5vmQ3euAe5VtqAr1AnleJfOWuydg7layVferKuPtQLM8pKMOYdfM7onA8xJX7x8UxRjE2xVJnoirabubSV2MpXX1UynNWUCKE/pW58IcgM9JYGGt716wL9/Z5stc2mR2axmObG6LLm1GqzBeGCOPPtmPl1flNZaMZ6eL8oPKgksXPInNYKBhixNUWmXKzctcO2OBa7clujZqdqhX3rXX3U2rmutOrXBs53zAycH7/zx37r21i89dOLmrXMJ/+mfLfHi64aoNCyvSH4hC+20WnczqbnX0t1eluSpeDnB3EoZslDwe3e0+OCnGiSqCuhg4nHC857IWE7q7nFdXQJ0rfEQVf97LX1dZDKF+P+L7/Fs5qqkTrVtzY4FXoVNCIzvluwKsMaclIov7qSJlwS+ICv3ybX/Dws32hahIUDz9tf1OXQi4JffM+UCynyW20TAOcmhmf+ZvPRWieoEtXLbwmclDx9wGmMJTZ9X3LTAf/yRJbbMWS52tjzxpWPL71zqr3uW377GVzD7PRw6E+l3vOFqGwazHDm7hZ9971bOLrgOirxgJ7cOxxI/Bbi97KhWBObAFaaQIkVAKfIkzmpwEwg+fW+d93+6waiYKFQFdIW9KV2Tcl+dCqCpAt0WlYGrWvOqIK+c7KrWrgI6/4FVZbJfC7grPzgmU5hI1VMFvfBavPpzeQMEY6xtKg7YpBOWj4Ozlb1/inqVKptrSWws3/7aPq9+4QChzbMzeXEYf1DUsIysr12x1dR9XjRWbvpaPS3Kr8RSw/YNI/7Nd424cvM0xsxycuU2u3nO6p/8oTeveX6flcFf+PxX0+4O33/T3nP7Lp5f+P/a+/Iou6o63W/vfYY7VN2aklQqlbkqIWSAQEKAMCiDor30ga9B1IU8fTYO2Cpqy2v10dJ22yq2LUID2m9ht9itosBjEJ6AoALN2EwxgSRkxkwkqdR0q+6955y93x97OHufeyupTATo3muddc98z/Dt3/n2byzmUMJrfRUUvBDVmm80J1pqw1IL2rlOzLICui29SUZzQs3AUgHc4yAe8KvHcrjy+ha8vDFUAcMNgG0PLIm2VmYHlq4hx00H4eYdTDHrlsLL8hbHdJ8B9X7BnTFj1tMTYlampvkG/ik6gl24kt7+5Y4UB2C0J1KNSEABJcXB5bvknJnLIEJAJMDC2RH+4YpBfIkB9z1WkFKcqe5oeLjdTZm6OQpOCCKldZH/LKz7lVSAIrVu6ncEEHhUgOeASS0hqtXJWL0pRKm1tbz0+DNuJbQw5jNmY2347t9fi7PPftdz82e2fiwefrVlxsQAHaUCKPFlzxapaLODkO2ghXpw2+pAYdI+0Az/lsl6OIgP3P1oHl++oYSXNuUkuDU1ob5LTbSnIJWSOyBpVWJdPMqzjTzUkuqZaBo3woakkTdERZKQdJ7U/ab127U/iF5n5u2ORrMdz47kgXUe+yuT5tuu+/LogBPdSbNjisyg2WwnVlIGPZ/5IhEA4MCkjgTHz43x6k6KtRu91ELmdl8D2vRoOaX1MbO164nzDHQElc8E8r5Ae15gSmuAgJWwY3eIpo5TdowMDX143vyTIozRxpTgAHDGKfMxODiIrZtXIomqKI966B+qoKlQQxgk6oFycyOuYacBuLMus4amJEplmIApnxN4wN2P5fGVG0pYtSF0wZ3h25KayIfjG2pSn7xHR+FkQ8DqzO8NJLPzwq1fvbHu/R4AD88mNzXS2tqe+qVIqW6MJo40T3XigjSS5tKzkKjIe5ubQ1Ap2ZUxiNvcnGe+UjVg4awIf/fpQQgB3GskeQbftJEMldQ2Mrw97QSaFtqdkVHpfZHzgaacQFPAsGM3QUupgEJLD4pNzft8tnRfGyd0dlajhHyy2NxZ1u6xOiWBHoU77xSuKtClJcpgYzh5orQxKbg10OER3Pd4Hl++voRVG4IMuG1ga6OOFHeur4kOYLBC6+Dy6jpK4gwYG0hAG+yW9LF7gLu4f4jbAQ8aF/Y2N9pHB0O4tSxTjq55uT3B0aDYy6a4leVqa9fh1LnHhdKwmIAJzpDUKBbNivDtzwzi3aeNSA7Oecq/0YiTa14uO1/EpZZFa1hMdTnrGaaSXL7HmMvonXlzusu5HP1kW8fE6r6e7z4l+Lbt/XxC54xn3nEuHXzqkc3FYr4Gj3GjmLe7a9bfJB1AilTPbTQoKbipJbkJ4xCM4NdP5vCl75fw8sYACDPxlCQrxaV4pha4bXVgvZ93NoA3HWxmPQZNvhMDdveTql+DAXyWjJtenwF1BsjpBmLecNaV1h10Wnzc7gzcOoWK4yRGyqfehXJfleNQcXHpHCKlOFdxZqkkV4ILEsPmndc4FsyM8J3PDkIIggefyEn7yD7Fpr4j5khyAlmEmYrUrG9rVQQI4kRgeJQj8IEFxy0f7O2Z8czQ0DDf1z/t81KmdE1CR1vL7rbmyoVLT+iNWoplBB430tBIbAfUSnIbcGdiJ4nlAmuDm0pwP/wfIb7wDyW8vDmQzlM2DXEGl9RMBKkxx1REc/xMXE/B7FixoXus9XDrXGU1djP72esPtInMZNZbK+sMnLB03toqYaS2vc2V2sKW3A20K06ABNepJ5TmTDBT9IpzBl4D5s+I8L3PD+DtJ1XAspLcmXTwhJ7nliRPpbhOG8GtrxPnQBQDu/oTzOxdGO3sq12Yyzfvbi5N2Odz3SfACfERlddhYue0rZ3dczbkC00qPAxGx01scGs6QhuZ29OMr5TGjsaEMA7hETz4dIjPfKcFazcHMGmmSJaaZPk3XGqCbHSObb20BsM2sBtSlvq0aw0BbQM/2wPSXfYL7kbme2OxRJZva/dZ2z/FVrPZOVNc62bq02JHA6XRP5KuUIu2UNUhUtoiBEtBnzCIGsHc6RH+8S8GcM6yCpgOnGwI7hhZymJAbqKCVAgbjAeBNBrFHC0tzVi0aN6G2T0ztz63ajPy+eDgAQ4AhFJsXPvU5koFl7V0HAuS+oy5gQtWkAJr5Eti/Li1xiSSQQs+h/CAh54JccV3W7D21QCijnPvH9yMNM7n3ShgwV0n6iS6rd6uG2xmJLkLXuHsJ7ePDW9RN6MWLTFuU5D0H0QKfJ6hKUilttMxYOvJbZBTR5obRzoDZjvmkznc3Eh3QSGqBHOnRbj2CwM4a1kFNOEStUIlE+KxutikIci5snjWVExnbKya5nZRjRIsO3EemIgve+jhxzczNqYS0DRvfzv4hR7EtTKYX9hOqfforh2vnFGrDcHLw/BrXUFY5uPmVoAwB9EgN1Ni1rFQYMtuhideDHD1D0tYuzmACBrpuDPLSjdGgTTtGlAXnZOlKfUDTNEA8G4nMCi2rJm2egv2LmrGOOvD3b6vZjBtkU/HaklsC2fKwaWVj1j7iAwXh9F9S1CLdMBJYfi48haSuQONZkXlmRVUcW8uBQ+X754LOQ/9PCOOeTMiXPeFAXztnzieeiHElt0eoIUshwod1Pcp0omqisxcXUciv8g+l3KNIkHXpBacfOK8R9/7ruXbh4dH0dxcwP7afiU4AHhBEZvW/ce6GK3XhaXjMFKRkttjHL6XwGcym5RnKgmnyS8ZsWMoEzmwVOBeu83H128q4bPXtGLNlrHArfVPWsdHDdgYgWuGhwStnePEdq7SoByP9qQuyLihnwlxtCx1Yj27vhGws8YeC/D2L7LrHZ+TjNUTcLUpurYP0s7galaI0ZQY7Yq2aFqaFG3/cIOaWZ0kP2Z6hOu/NICrLh/EnO4IqCap9OYNApp5pKYEiRCocGCES8/BWPFxRhKce/oCdE1qvu73jz29bjzgBsYhwXUrlKYjCEvPtI+O3sn41gt8vgphECHwI3helCa91Go/IgOKU3N9opYFWE5g3TYPX7+pGbf/poBKoqwzY1onbbBL6Zk1xTvUBFmAplqSlHu761z31xSo6WA6A1KHuhDsV0QfQKsDdZ1lEqbihuOkRTSwlWegI/1T56XU8xAqGNm1eFKkYW/S91tGF0stijDLjg+K1mUQgMYJOttiXPInIwgDgb++oYT126CCJtQFa89DweV75VyeRDAk1MOook4AheARlizsxZLFx9x5wqLeZ/r2Do77WY4b4J2dnRjqf3XztFknfa6ARxgf5e/1WRmex6W0ZtLHRINYfv65Ablxh/WB9Vt9XP0DBW4wGbAAsm9gm6SZEoweNC0R9cVabZ03XMlM9F/BBq8LZMcHJSvhG3B1ZM4zbrSLRrtKju1IZQvM2V+53RqAagOPTUEMlQF0SRStDjRBEkhdbOX5ZAU3UGkYSgObaaoq1Ndug1xF+4gKR+gJXHjOKCCAq28qYcN2AJ4FaBPhoBKKQ9VA4QyceKhwD7UYYKUCeK7tnjNPP/lz6zdt29I7a+rhBzgANLdOQ23g11smTl2ystb3ynt5ZRN834PHOECkZVPwtF4hIaqGF+VSUgYEm3YwfO2mZtz2mwKqYFJbQqi8uXGAmzqSW4eepXzbjrE0VsssOI3vTL3lzNGSkMw80o1jqgWzqpdx4ty4zNrAt34dg5CRwMLZLmyJbVtDnW1ZvbjMbwhVqkYa76g0uBFLsmtJztWPBnMDSS4g3RZEzJHzON5/7ihAgKuuL2HzDs3JVY8jkuuDyK8FEfoZMwhGkSQReufNwXlnHb/yx3c9vuUjF5x+QM/2gAAOAH5hKuDN/Pbdv105e2HX1ouL7DVs3e2Dg8L3BKZ3cbS3JqCxdRAFaoLiuRUBbrqtgF/+poAaUU4hRPNrOm5wu26wFt9GRhWY0aRk07LV+WigHuSORM5I7+xA08b4gTYDbEdia5Rb4Ca22V5RD8csr7eJtH48kNIV1ZG4IGDatG+rIC16QgWBgJTkRKM6C3L7hhXIqUoASgEkMRB4HBefOwpw4Mbbinh+daAK06aDDpYQtLckmNYdIWDy+jbvZJgzvQVXf7z91raZJ327Vn7lgJ/rQTHH7/3oZ1i7bVrhW5fecP+1P917+k0/LWGUCxS8Gk49sYKPX1DGOSdVpZMZkQOGn9xTwF/9oAn9wx4iwVJwE12YdP+0xIelNaGpn7eOs7SluDHvWg5UTipnYtWn1PTGpEFOfVdMumRzHmIKAug0ykw5V1ErXbLcP3W00mmW9bmytTIpQ/rfKgERY/b1CrUM2DnWmXKusqtCM6O6tbICE3c5tV3o7WNk93WirXTQeHZbxiNUG/q0Jo3EYEwgIgQDwwz/+wfN+Ldf5VGO5bv1IHD2SVVcdsEIlp9QRZ4RjCQEN97agjueXPjYy/ctPa9/x+BIW9fHDxir+1ckNmj333U7fnT9x6O+yrJLrr91z6xXdnkYFT6Gq8DLaxmef9mDADCrW4CGwL/cVcBXb2pC36AHTm2PwPHREiCNitcGHekhaEXqZJNoZsDbaF32lxGS1uCxQK49CAkl1tfBdqMlBrz2NkJkab6U1xM42bHq6JRFlerWWf8Hd129elO6orrnslSbFm2DRddSFqbWQf/qayaZLxZp8AWrH3DLfQQYBJryAqcdH2HPEMFLaxhaWjk+8p5RfOWyIbx9cRUhPCApgFdL6J3eiYsvuGTdrj1tN0+fdf7BQPXAKYpuHRMWgnP+9MXv2Hmqz3+bf3R1jIR5QC7Bqs0BPvddhrbSAIZHCa66qQn9QxbfNpxgDO5tS25A1a/Mgrs+kMGmHrTuBcN56TZdaWiaz6yv4+Jm2X2b2fdNxtziNtfXpIGWxObaJLu/7X2o5klq5ZSDR+Hurymw8U0BhC7UajQuFJRzWW1QXxCXSf6lnkblJW/EyQlRyhYBXSwLNAFPBNqbE3zj8mEkAhgZJfj+XwyCCo64QpHEPuKEYtXGTszo/ZPRWXPnPU3IuLTZDdtBH9nd2YSudvbVyz542rWfuLC1EiAB4OsURzjt+AiTOjieWOmjPKrEoREVGacpq17l/sDNjFR1c5rY0i2r53YyU9nzDvfOpEU2+zYw2WcfRkNUj5/9NTLVuxvh6MjlMqlf55jzLQ2Kxb1dvxPLR8U4aLmeiMYyyl2rphBp6hBbT+74qXDm6MmFzIAPwYFiTuDUBRF27mb49xcD8w6EYKhGAi/+cXql0HHOtcPDTV8lpPVgYXrwAAcALyzy4f7br+7snHTNSQtn1DwagSDCKYsq+Mblg3jnyRVceUkZUzqTdKScHVDS+qpnekDpW+B2rJKZ2Ml6/27R4LNd/9mHvQ3WuixYxxqAkrpdYFsyD6i540kLlG5HMSA1uzdym9XHE7XdmpBKdX3l8jiKrAOWHfybhr7ZHcF1yhIqc23CKRLBjGutBrec5PvZupPimn8t4sGncvjqDc14fGUIQWXm2JFoUa2tbdI1t/zfu64ulQK+32e3j3ZQHNxuU+Z8NNmxp+ep42f11RZN3/j2fDhArvxwGecurULEQHtJ4KFnQ6zf6kM4VRbSIqxp9QXigNunKbhtM7xrknclObPLb9s0xhSYtYCu5uVAjZh1KTcnzrmI4eh2VTA1byJ20sFlui9xeXlD3jyG74z9JbI6mPOVgnVeNQ+bhjXq6LqDkjTuIN3HtdqawrAEMMkEbd4m5IG6w6WdVrs32IHoHIIAj68MceMdzeCUYsu2ANt3M7SVavj1812c+Iuvft+ZC7/T3RFVr7vxl4eEz0OS4ADw+U9diA+ct2X0Ex+YfueSxaeLfJDDcbMIeBQgjhgI5Xj/OaMoevpp2Xm77SSZbkSOlNzCDV6wJLktwcm+gIHMC27w0tEICOYlpTOOxCbZ7en7zq4ebxvLZdZsN7n5LC4NONzd/LOlV0+NNLYkzwYe22pGywXX8mdJj7Ppik1PWGZZB8dY7rYgGIkIbn0oD54wgPmAl8Pz65owOJzD7JlniNW7F9z5w/sHRnsWXnSo8Dz4QabdRvg8sGL7K+0TJl/+5x8KbhLJ/6OjlSFQGiMQNXS2cuVe22hAKcVo6hWYWiizSXqY44eeWizHWm40uGwIfBBHKBmwZjpBPXDlUp0mIbNct72hBbN+u6EaxB1oIjtveJFryjeWSYyRFcu+FqNPV9yeCNNhdL+x/WayVnpZ65JDEAliavk+yGcoZLoKSpEgwWt7GYRQle9YgAgllMXZ/LQF8y5f6M17RVS3Hw5oHroEB4DeniWojcS1s0479ebjetgXqTcRQ2WOai0Pnvjgif6c2dLbBygFJQQBldb6kAABEZaOO9WWMMv83tAVFvXL9icaY+yT/dqmwM9A2ZbOxP0dqznnsGYzVNudybrOZtbZ1k6ROSw7kDT82hynAn4daWwfVy/FIewUFVkHLtttNl1OEhnalk7U4eIQ0iYAFoD6eQQsRm93K9ZsbfnijJ633bxnZ7k2/5gTDgc0D48EB4CwNAd9fX9MWqf+6fpHHp85tG39vc1nLNqCYlMFUSIgCJV/R30FbgamgO2jXmKnQBMZ3a8ZGo0tva19YXS5GVDDAj7JHpNisv4YV2qrJSiquX/Uj9Ea4ttI8tR1VunxUolqqxBhO1dlPQuRSnIiJa62duoEQFKQC5kUU+9vndt9Mqnwl9Jb+x9pJy+hrKWQkhpSinMuPUp9BgjOUAp8XHp2Kz72wbOGpsxctn7bju3J6Sf3HC5YHj6AAwBhRQz0J/csOeG0T8/pFtdGA//a/uxLr+GWXzdhlPuSb1EfhHrwFbgDmkbhuDw5HbJktRWNuDbQYJ21bHcSWECuUw+iAdizEjvDu/c7v5+mXTLMstFlZ/aD62siyQeROm5iRnuW4wpM6W1ieRVypckQOkcK0hyIxPosaF061P/UXXD6N5C+49popMIYlbRnIrEEUYLQj/Dhdw1j864QjHbg5GXv7Dtm3rIr9u4duae1NX84IXl4Ad7W0qbuf89P2lqXe88+v/fbf3XLfRMffnIYie8BzAdlHnIMyBFVXdiWvmRsXLjS1M7h4YLRlfTCkcD2Po2T/OjzpVeRFchj8/F9rRyjZbh4Fuh166z9nSCIVKindEN1Ahh/kwwfdyS+Sh5EXb5PzCeAIA0zt6W3SsWcfQREqESeAKUcnKroIEiAex7D+aeX0TOtFX8cOXnXCcef/r+299V+Mnvq5ENAX+N2WAGe3mAHXtpY/udC+wX085f+8Ztbdjw6cc02D5T5KDCCJiZM5qmsusvWEugHaeOgjkLApSvOeuKCWR+fSnFStz77NZDzpAGw051JurLOKLQvwO9vrDnWjgb0NrhJBrCKJhhHKqKW1cUa11qkgEZmvv6vU1pDhABXQ7g0ZUW6mxEunIISrrQrUpj5XhWvbMth5da37br04nd+GSj/MyEdhwV72XZYBpmN2vxZRRzbdfPNZy8Pr/zv50ztK1KGokfRHnA0+RwFjyPnCQRMIKBCJaeXEyOpQ9BYUt3m2856m1dnaIarBsxkVcoea5/POt7+f6AxmMW4UJu57kYjT7uTWxJXr0zjLRsEIWd+uZnPBi+7KkRzbgu0dSpLezDK0zw5CaeIOUUcU0QxQy1mqEUeqpGPSjVApZpDpRaiWmNYt/PYvmfWdV35qb954OYjBW7gCElw89LCT+PRx753y5KFvbWlx1V+sGHDH5vbcqqmevaFIX2oemQP1CdjzNA/688aSGHAkeRZ7u5wayOB61WGtgQbF+Uet2i2DtHXbdMQ6371CodCOM9N0woYqa65vKQu9QNN25RvjjEnaXQfwvpT+YeptTMNZtY93LaoStWhQBRx5IoLhwSb9pkls1/7+Uc/dMUh42xf7YgCHAB++Ug3J0F46/HHDsQ9E8iPN23clEsEQzWWhT/rktcgrX/IM+AHkGoV4CYfasQDx1Yhknoers+RAfaYUfEN0E0abBxvAjdH3Yexube6OcDSbRNL0yLpidKy6GeqKYVASlnUs7arR6QdS/Ef/UVznp8w+5ivgJLeCbfUk+q6hSBIOEE1YhgdFeicPLsSkdY/e/fy8PZKJT4kM/x42hGjKLpd95X3o6dpJJk/fcLti4/tumTZ4lkV39Srl9VHfDUFXpowkyoPKQGYLP9pgndbt+u+d3cwWq9ZcUzlSEFtzOhwMJ6eO4uvukb2s30/rYHp0hGWYynSYakLYUtl1zppFw6zgxu0k5UBZYNr0Oo/u9CBngCBRFDECUUcM0QxQxRLmhInEvRJQlEuEyCYU6lixiV+bsbt6zc3J+3TP3n4gDZGO+IAB4DPfvKDaPaHks98avkdXV1dl06fMWNktCoghHSu95hA6Mkp8AR85egvRFrOWddD1xUBjNnaeisGrGgsvbP6dIwJ9HpVI+zjXqeW1Ynb95tSu5QOuB6A6TOygV2X0QoW4I1xx74Cpa7VAQ/ELrmu3Gs5EMcUtYihWpNTnFDjnOV7NXR2dY90TOi8dMWWd92xam0tWXTSxa/LMzxkZ6vxtjvuuA2tnafiqls2vHTmidM2Uopzh4eHchACPiMIfSDwpUQHgCghGI0oRhKCmiCmvIWRstQ14ztTo3TIJI3AMWB3Uhe7ecDrnaky0t84ZxFX+mtHKwIT7OA6WWX+B5lORdGwczayyKbwbjCoRmY/i5qlGiRLENBMDplMRJAp587SsjOECAhOUY18jFZ9jNY8RBEzFSeIGhC0tk8ZmDCx8xPz5z14a454OPmM979esHv9AA4A9997Oz7zyY9g6ZzWld2T27d1T+k8c8fuoUJSG0VzkaIQUgQ+AEGwdwTYPkwwVCOoqBovAFGgVkWMaOrtV5f3O5Prm2W8A7Mgb+zlVw/o+mU7escFOCX7BziynaoBqPc11Wt3iDtHrJJZZl/iHGuXnTG+9na4mwK1zDCcwGMJfC9GLojhexyjlRC7B/IYKvuo1BgSTuCxGG1tBbR3Lt1DghlXDFUm/FtSLWHO8R99PSF35AeZ2fbdq/4HAGDLjv5bfN/zJk+e9K3f/+63ExkvIxfKULf2ksCkzlFM7B/Gqg0Mu8t5xCwAF8wMDpmAo21JX3DGJZaMAWBLWmoQOFMWQI00I3V0pVEI1/haVoOiW0OFDEnvWw8wjc1RpOfThh49aNS5CinNVopIqQ2EbdKxuDcVMoMZS+B7EXyvioERjhUbCti2kyCu+eCcQQDwaIywqw3ds5bv6pxx2l+Cx7cQb99JMo9Ue90Brtv0ya0YGi7/6APnn0GmTWTffGnFIxP39A2hFnuY1E6xbEEZE9r78NDzEf7+p+3Y3NeCOMyjQqgKWyMZPYo7ytcgra/KoNbb1RLMAfXXuS+8Huy2w9N0r5PN1jIBxCT+oULOUxCVtAcyPYPalyqDkA12pDIfaUkalaKPRSjkKtjZX8M1P23GA89OwsRCAcvmCnS0AuWRCPl8E05a/vZd7d2nfjmKxI+CsPWIP42x2usyyByrNTcV4Xnk5jNOP/lL55xz1l4v3wECoCnPwbmH9qYCPvbuGt572gBCOgokEWIhEGUMGuZlIAtsd74ueIGQselBBqKNJLPTvQ4B0fZ91J+48f72vo2WU0MMTOq2NNwMpjy7rce2B532QyXWwDLwY3DU8KsnPNx8Xwf2DDTBp8DwSAxKgGN6WrH89Lft7Z279EvVmrg5CMeXYu1ItaMmwXXL5fKo1Wo/6Z5xQl9z+7aeY+fgmtG9T/vFXAVCcPghwYnHVtH8QIRqLYbwfMSC1NETDe76OjvE4tkwUfLZQZkZkBlxfqCYFThofpI5zYH8sd7dWCGJ3VsIEugQPwKq/E0S6TPrWHU5ESBEZcOyzi8dqNJyNIwlGI04nlsdIKr6iPJAf5ljeIRj/oLjojnTxZXzjj9xveeF9zIvHPd9HKl21AEOAEEQ8FfWvnLP+97znqA6vHaEj0Y3VocfJrsGh2lrewwCD0SVpBOCg4M6Fk7bCGFLbKYkdJoygrj0BKgz0hhsqZkUQA3wuy8w7gek48HxWPuM1Y+yalPtHZio5yCoLPdN7ZtVWdNkoh/XfG/fCiE6HwoHKIcQFIzV0NHSD7+pjS9eulRMnTbnz49bduy/bN68szZzZtvhA8ghtDcEwAFgztw56N+9qkabJ/6k2Z/6u2t/dsJFObT/7YT2521NLyBc872R3CSNwbQ1KsyS5IaeYCydtrvCBff4Reu49hrn6cgYxxJq+emYC1VymWS+bsr1luh0ERliamt3mE6uz1NPRePnTQRApPFRcIqST/Cp/9aOxfMm/9W63b2/bGmd8OpTz75aO2Xp/MOCicPR3jAAB4DWCQsAYPTTf3Pb2huuOu9bK599MsgVgq9u63uZ8URAFjdKE5oZNwqba1MNcALGGmWmAhpqOxrx4Kz2JOMDAjTGaUPL+kE057gslUL9NvP/WWctIv2+CdEehJJrM9jnlAKAJ0TVlh+LpgkkiDFtCsXSZYsS6k/5xrvfvfJb6HsuIR2fPpTXf0TaGwrgut1w1YXYs+lnSfvM//m13Xt2eYPkgS++/bSHwgefiTGoch5yNSDSH1Nm1cBkKlWantegz2aVAly3XBvk+vOuI1qkOk4YKWhefAOEjxfPNu0R+5DoxLpP20HMGG3sc8I2xcM4PqWemXL8wrTGRCgoE+nWmnCSSnFD+4Sxjo5WCdZvnY6vfOLsajW86LvtrZO+Nhrdhb/+wvlHFzRjtCOvzTqEtvW1IXiiDE78b+7YvvLUS666jw6O+Kdu3dHv5UOGFh8oBRzFQKAQCIQ+EPrE+LcwSmTOP8sgRCixBbLxmzYupRkia9KWWcfXWUVpmrpNb9OGHrcorL3N/eoQkslXSDN5FWla+JU2cCSzO2haytvyFlRv26TQUOdkDPAoh+cJ+B5H6HOEQYxCGCOfqyGfqyLwqqC0Bj+cEAchf+I1/md8bs/8J8DjL4PlQOgbg283am9ogNvt6/94N3Kh37x7b/mfnnhx0/tfWL+NJtUqupsoWvMCTYFAPgQCj8DzAI8SMEYs6yYxQLIb5zKpeyIUMLgVvqX2cfIQWok10ySeCsgO+ElGY9MY4CloYSX11Ak20/UG8NTOnutKdW3IkZXKpLcm58QBOHGSjyqAMwGPcvi+QOBx5HMJmvI1NBUqaC4MolBgIMEMTsMFvwBr+Th4bah92oeONiTG1d40AAeAx1dsQqkpP2HFmi2f+9m9Ty/cs3f0gg1r1mFaK0F7MzMAZ0pqe9Ti3+rXTiApBJAkAgmXGZWSRILddkNN9eqpupHZ57QAbsCbAThVJ7IBbs6bVWtmAJ4OloUjfe1sXgbgys045kAcE8SJBrl62aaTKkqnsnYwpoJNmEDoC+RzMZoLo2gv9WPS5OkoNhXv9JrOXomg5/vg5d1Bcd7RhsK425sK4Lo989KraG9pmvHIM2uufXHFmgvWvbQSiAZRLHgIfeaCkRErLXJq3AGRLz5OOGqRQC3iBuRCEXM3g9VYwLYBDlBKjSEpW8veOGehfmBsKAqtBzgzlEKvT6Ww5tYAVFQNEMUE1RpFNQLiREp1ZP5PuyubFM1EAl0GBdfQNSmH3rmz0T5x7p250qIrkmhos1/oPdqv/oDbmxLgALBx6x74gd+76qX1xyXVkc9tWLf2zFfWrUV5eAiEypzjNsA9mycrAAoO1OIEI5UEIxWOak1Kcz34s8Gp83unEjXN+y25PjGc284XXud/njEyNfKAZASgTPnLKwlrg5IylTZaOUSZQbMAYk5QqVEMj1CUKwS1KB3M2o5n0hdfmPsRXKAWJ2huasLsnl709s5+pNQcfL+lY/YKzuN1XtB5tF/5QbU3pBZlPG1WdwcArBNCrAOw8mE/7lqy+Ngfrl67tvfZ519klUoEQik8jyiVIVW/xKgQKYBaTFCtCVRrCUZrwgTqajAIIiRQVeQFUSo3xzyeMfMbd1SM6eIimx4UAm4FBq2eRHpwKn1TcDPb409Jc19pQAY4xfAIRy1SXwd13x4DuCyDIw06jIMJAQEfPXOPT2bMnLMOIvrE9J7l2wGsrSu+9SZrb1qA66ZewNqBvXvXJjw5L5cPuxcvXnzbA7/5fWnPrh3FJK6AMZlBy/clwH0G5AIgFwjkAo5yNcG2TQJEyGALOegCPF2bUJm6ZQ1JK6LI1u0ZY4n0unY0NqQe5OZQK4DBTnVs7g/pgJLaINcTk9zZY1yVdeRobRbYvMPHlh1MapYCitCn8DwZYeMzaa6vRQIdbQXMmNZVnn/caYOVanJh5+SpWymjm9/swNbtTQ9w3Vra2sCF2NzW3vHqwODwgnPPFqcwKv7Pxo3r4zVr1rWPlPubc4EA5xyMAsU80NESY/aUIWwbHsHqXSV0hB5a8wL5QACesl4qHRwRUgdOuAAlxHFXNcEEllaEWINJENd5y9a9EygHPwVuohz+7Po86eDQGmDawQiMI/AT5MMYzcUqioUB3PlkES9s6EDvZIHWJulLwoUAjQn8YoCJE9uHpk2f3dfT0+OFAb2se+qMJ8Nc04CA4PQQEs6/0dpb505gAgz46Mjw3mndU+4vlUpz77337p6LLrroGycvW7Kqe8qEFwQtVpiXRz6MMaltGBPad4OSPgwMV/BamaJcI4hirT6Umgk9n3CRrrdc7jS4KSHpgNPwd5IBt0gnLky8qdZ2cJGCHcbYYnNnXS/HHowK+D5HPhehrVTGhNYB+GwQOwZr2NqXYHg0QalUxNSu5kqpteOFBYtOWPXe8//0G/fcdVdPodg8t7Vj8v2DQ+W9hJC3FLjl23mLty1btoAxj/zhxaewd5gw5hdubC1Ec/Nk/elNwUr22xf78bOHBIYGI4yIdnhJEyYVOYqhgO9ZPiwKUB4l8D3A9wkCj8D3KHyPwPMoPEbNoJbSVHrYLqi2GtJ+CWbAylQgtgf4nkDgyyn0BXxPUpHU6KPA7QkU8xHaSsOI+B5EySCqUR4//90kvPhKF05dMD0565Tex2ZNDdbu2Tt8+bZdPDnzjOWI41hMmTLtaL+iI9re8gDPtuHhQYDk2zyx9e9WrPhF8MXr+pO2QvHET52/Z8kvfr8H9z8SYEY7RanAHGukBqRHgSAgyPlEcVsCX/FbjxF4jMJj2udFNs5hLKVcSW0uZE15DXVK5fFMZxnwAN8XyPkCuVAgH3KEQQpubbokKjg7F1TQNbEPT65j+MOWXnz2/NqzSTL43C+fXMje964LasfMnPiVoXJ1b1tby9F+Ba9r+08H8Gxb9cLj4IKeOaWj/50//13fhdu3J8eUgipWrV6HXX1VIKkgThJUagChDLmAoRACxTxFPqTIhRS+kt6eRxD4chCnAW4si4mmIQJxotWRQkbZQEpwn1HVWVQaDR/IBwLFPEdTIUExF4OxGFHEMVplYIyhuYlhoBxi8pS5mNaVoByzNQ8/N/u2Y6bmHkgS8ch57zz1aD/io9r+0wNctw1b+wDgPCbinkp5L//hj+/ghJVmzZs14S/XbXwV5SrFcy9vw56+fnS3UUxooWgrhcjnPPgeVRZBgkJI0JQHCKWo1tJQsCiWk9ReJIhjbnK+RDUOQoF8jiEXSJrDCOD7QD7kKOYiTGytoGviEJqbW1DhPejrZ2jtmIqQbv/W+s19Gxcv+yDt6izRMEfWA7ifsDen3vpwt/8C+Bht587XEIZh69Zt28985rmVGB6lUZmzz/uMvaOjSFAIOF5+aQXi2iiCgEqpnAgUwgRTOspoa+nH86tLyIch8jmOHXuAkQpBc4FgtBJjZ18svwA5YMX6MtqKOfRMLWJCewG1iCNJJMDb25qw5IRFaG0W6GgdQS6MHtz+Wvi9vgHmd3UvQPuEzkeiqNbf2nZ0gnrf6O0toyY83K2zcxIA9AO4GwBeWLMZAFYT0M6CD05FjG1bN2JoIEYYMtAoQf9IJTrt1CVXTyrtes/GnYNRy8Rm9E710VSsYmQNQWvs4diZBEKM4NnVFE15H73TgBm9w9i9t8VfNLvlV1tfXXm15/k+V5lgw1wTps2cj2KeIZeLqB8mO3smYGMvnXO0H9Gbov2XBD+MbdUfnoIA6SzQTS2PvzQihocKOK6Holis4Hd/IMiJAIvnAIwN499X+GjOB1jYI7B7eASrN7WQZQu7BjgXO888c/nRvpW3TPv/NFRFiKJG4G0AAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjI6Mjk6MzArMDA6MDDoJMGXAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIyOjI5OjMwKzAwOjAwmXl5KwAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 272615000
{'hecke_orbit_code': 171136785873641560, 'n': 1, 'trace_an': 3}
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id: 272615001
{'hecke_orbit_code': 171136785873641560, 'n': 2, 'trace_an': 0}
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id: 272615002
{'hecke_orbit_code': 171136785873641560, 'n': 3, 'trace_an': 0}
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id: 272615003
{'hecke_orbit_code': 171136785873641560, 'n': 4, 'trace_an': 0}
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id: 272615004
{'hecke_orbit_code': 171136785873641560, 'n': 5, 'trace_an': 3}
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id: 272615005
{'hecke_orbit_code': 171136785873641560, 'n': 6, 'trace_an': 0}
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id: 272615006
{'hecke_orbit_code': 171136785873641560, 'n': 7, 'trace_an': -6}
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id: 272615007
{'hecke_orbit_code': 171136785873641560, 'n': 8, 'trace_an': 0}
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id: 272615008
{'hecke_orbit_code': 171136785873641560, 'n': 9, 'trace_an': 0}
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id: 272615009
{'hecke_orbit_code': 171136785873641560, 'n': 10, 'trace_an': 0}
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id: 272615010
{'hecke_orbit_code': 171136785873641560, 'n': 11, 'trace_an': -2}
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id: 272615011
{'hecke_orbit_code': 171136785873641560, 'n': 12, 'trace_an': 0}
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id: 272615012
{'hecke_orbit_code': 171136785873641560, 'n': 13, 'trace_an': 0}
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id: 272615013
{'hecke_orbit_code': 171136785873641560, 'n': 14, 'trace_an': 0}
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id: 272615014
{'hecke_orbit_code': 171136785873641560, 'n': 15, 'trace_an': 0}
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id: 272615015
{'hecke_orbit_code': 171136785873641560, 'n': 16, 'trace_an': 0}
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id: 272615016
{'hecke_orbit_code': 171136785873641560, 'n': 17, 'trace_an': 6}
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id: 272615017
{'hecke_orbit_code': 171136785873641560, 'n': 18, 'trace_an': 0}
-
id: 272615018
{'hecke_orbit_code': 171136785873641560, 'n': 19, 'trace_an': -2}
-
id: 272615019
{'hecke_orbit_code': 171136785873641560, 'n': 20, 'trace_an': 0}
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id: 272615020
{'hecke_orbit_code': 171136785873641560, 'n': 21, 'trace_an': 0}
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id: 272615021
{'hecke_orbit_code': 171136785873641560, 'n': 22, 'trace_an': 0}
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