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{'Nk2': 16008, 'analytic_conductor': 31.95613088891641, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [23, -1], [29, -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': [4002, 1, [2669, 3133, 553], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 7, 'field_disc': 1476434516, 'field_disc_factorization': [[2, 2], [369108629, 1]], 'field_poly': [-2, -10, -8, 19, 16, -13, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-8, -40, -42, 29, 34, -16, -2, 1]], [7, [32, -48, -96, 172, -52, -18, 5, 1]], [11, [-176, -456, 204, 248, -47, -37, 1, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188109414306, 'hecke_ring_generator_nbound': 7, '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_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4002.2.a.bg', 'level': 4002, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 23, 29], 'level_radical': 4002, 'minimal_twist': '4002.2.a.bg', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{3}+q^{4}-\\beta _{5}q^{5}+q^{6}+(-1+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4002.2.a', 'trace_display': [-7, -7, 2, -5], 'trace_hash': 915127551873711750, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.060', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '102.241', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2760.091', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, 'traces': [7, -7, -7, 7, 2, 7, -5, -7, 7, -2, -1, -7, 1, 5, -2, 7, -1, -7, -9, 2, 5, 1, 7, 7, 1, -1, -7, -5, 7, 2, -19, -7, 1, 1, 11, 7, -18, 9, -1, -2, 4, -5, -9, -1, 2, -7, -11, -7, 12, -1, 1, 1, 8, 7, -11, 5, 9, -7, 12, -2, -5, 19, -5, 7, 23, -1, -13, -1, -7, -11, -1, -7, -26, 18, -1, -9, 6, 1, -38, 2, 7, -4, -6, 5, -25, 9, -7, 1, 20, -2, 2, 7, 19, 11, -31, 7, -8, -12, -1, 1, 19, -1, -4, -1, -11, -8, -31, -7, -12, 11, 18, -5, 11, -9, 2, 7, 1, -12, -17, 2, -2, 5, -4, -19, -18, 5, -37, -7, 9, -23, 30, 1, -7, 13, -2, 1, -2, 7, -30, 11, 11, 1, 13, 7, 2, 26, -12, -18, 44, 1, -15, 9, -1, -6, 21, -1, 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mf_newspaces • Show schema
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{'ALdims': [6, 5, 8, 7, 4, 8, 6, 6, 8, 5, 4, 9, 5, 9, 9, 2], 'Nk2': 16008, 'analytic_conductor': 31.95613088891641, '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': [4002, 1, [2669, 3133, 553], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 713, 'dim': 101, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33558434, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 6, 7, 7, 8, 8, 8], 'label': '4002.2.a', 'level': 4002, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 23, 29], 'level_radical': 4002, 'mf_dim': 728, 'mf_new_dim': 101, 'num_forms': 37, 'plus_dim': 43, 'prim_orbit_index': 1, 'relative_dim': 101, 'sturm_bound': 1440, 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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109414306, 'source_is_minimal': True, 'source_label': '4002.2.a.bg.1.1', 'source_level': 4002, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115188109414306, 'target_is_minimal': True, 'target_label': '4002.2.a.bg.1.1', 'target_level': 4002, 'twist_class_label': '4002.2.a.bg.1.1', 'twist_class_level': 4002, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3468475
{'charpoly_factorization': [[[1, 1], 7]], 'hecke_orbit_code': 144115188109414306, 'p': 2}
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id: 3468476
{'charpoly_factorization': [[[1, 1], 7]], 'hecke_orbit_code': 144115188109414306, 'p': 3}
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id: 3468477
{'charpoly_factorization': [[[-8, -40, -42, 29, 34, -16, -2, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 5}
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id: 3468478
{'charpoly_factorization': [[[32, -48, -96, 172, -52, -18, 5, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 7}
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id: 3468479
{'charpoly_factorization': [[[-176, -456, 204, 248, -47, -37, 1, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 11}
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id: 3468480
{'charpoly_factorization': [[[-6016, -3960, 668, 746, -3, -47, -1, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 13}
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id: 3468481
{'charpoly_factorization': [[[-256, -448, 320, 420, -48, -44, 1, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 17}
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id: 3468482
{'charpoly_factorization': [[[-1312, 1792, 1512, -332, -304, -18, 9, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 19}
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id: 3468483
{'charpoly_factorization': [[[-1, 1], 7]], 'hecke_orbit_code': 144115188109414306, 'p': 23}
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id: 3468484
{'charpoly_factorization': [[[-1, 1], 7]], 'hecke_orbit_code': 144115188109414306, 'p': 29}
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id: 3468485
{'charpoly_factorization': [[[589312, 260672, 5248, -13268, -2055, 3, 19, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 31}
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id: 3468486
{'charpoly_factorization': [[[3112, 2756, -22528, -12235, -1932, -16, 18, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 37}
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id: 3468487
{'charpoly_factorization': [[[134408, -57772, -11514, 5323, 386, -132, -4, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 41}
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id: 3468488
{'charpoly_factorization': [[[-1364288, -34592, 110144, 8584, -2080, -204, 9, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 43}
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id: 3468489
{'charpoly_factorization': [[[88832, 70336, 12064, -3340, -1220, -68, 11, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 47}
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id: 3468490
{'charpoly_factorization': [[[-536128, -495456, -54576, 18496, 1452, -240, -8, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 53}
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id: 3468491
{'charpoly_factorization': [[[-95296, -134672, -29736, 5593, 1264, -118, -12, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 59}
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id: 3468492
{'charpoly_factorization': [[[-22768, 416, 20452, 3406, -743, -131, 5, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 61}
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id: 3468493
{'charpoly_factorization': [[[203776, 267320, 93372, 2344, -2341, -163, 13, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 67}
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id: 3468494
{'charpoly_factorization': [[[183296, -35520, -32080, 7232, 827, -225, 1, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 71}
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id: 3468495
{'charpoly_factorization': [[[-836032, 216128, 69792, -10208, -2228, 80, 26, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 73}
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id: 3468496
{'charpoly_factorization': [[[86848, -108480, -58336, -2784, 2508, 512, 38, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 79}
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id: 3468497
{'charpoly_factorization': [[[-2048, 2368, 3648, 192, -392, -56, 6, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 83}
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id: 3468498
{'charpoly_factorization': [[[512, 1920, -2496, -2376, 524, 72, -20, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 89}
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id: 3468499
{'charpoly_factorization': [[[-407552, -124064, 47568, 9840, -1300, -192, 8, 1], 1]], 'hecke_orbit_code': 144115188109414306, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 33, 'label': '4002.2.a.bg', 'level': 4002, 'portrait': 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ly8PSFQlsQIkixkpSMZjAJCLRDWsGXGsDCdsdqJ6AwEwzRgrS/YPm1YaRtOnFfUgpDtc7B7S8y2+SFb50dsnx+xe5tlz3bF1RcF1FWToyem+MrTIY8+n/Lk8YRMdfnml7d520stdTXP88dnOHpGc3ox49xywokly6Flyy3XLvFT37XGRfPTnF6aZXGtxmpbsd4TdHsZ3b6h07ccOLLEgePtqx997twrjpw8e/Gx0+c/d+vr3hbfe/vHvt6Q+Gs9/k4z+Np6mzi2KMXP3f3IwZf++K/+ifz2Vxx/6b9+6xl9bnkHS2szrHRqrHUC1jqKtS6stjPW2gkr7Yyz63B4WbBlyzr/8btXeNHlDU6en+PMYpMzy5rzK5ZzyymnljIWuykzc0Nedn2Pl1wFoawTqYjzqzXOLmvOrQr6I0hTQy00NGsZs9MpBjh+LqXTg73bApr1EdYKECG9gWHP9hEr6xqskyLrPRilYLGstmN2bQ3oDhRCWYQZMVUL2LNjyHpfcPyMJjOa+SlJqyaIAkhTQX8kObcqObtiOb+WEkVDCFJuvabHS68VbJmqs7I2xcnzEWeW4fxyyvnVlNOrcHjF8sJrlvmZ715j+8wUJ87NcW65wdJawHJbstrOaHcT2r2M9Z5lpQsn2oKlpTa/8m+G6Xe/KbhPzrzH6Pp19wnsTxgUtfrU1xsqF3z8nWXwv/qrT3LjDTfyoz/2b3/2Tz9xx7953x/fcdkzxzsXHzo9kC+9tselOw1ppnH3qAAkFglI97WwaGGJJJxZrfHAQcX1l65y1UVDGjUItCQMFGGoadYljUDS7wUcOFbjC4+GHF8c0UkTDpwcsW1+lTe/bI3rL+vywqvaHFtOWe4LGtGQI2cs7U6T6y6RrA8z9h9TtBqaZ47D5TstwzhjmIVonTDbgudORiidEcgUHcBgJHnRVX0Gfcn1l2V0BhnHz7TYt13RbMSsjyxbZ/qs9Tr8yR3w+NGMJ48O2btzhRuu7DA7F/OmW7t82ystl25vkSUzHD09zeFTASfPGU4tJpxazDi8KDixnnDjFUv8x+/usm1mhpPn5ji30mB5PWClI1jrGNq9EtyrXTjXkyx1DC+8aoV//pYlGUp18ZlTZ/Z1etmLa1MX15ut2S9++tN/yYc+9OGvN2Q2ffydZPA7v/RJXnDNTnXH/Uf+z0NHz/7k/Y8cVifOjTjfU5zqWq7Zs8h//aElbrykwbmVWVbXG6x2aqx1NKsdzVoH1joZa52U1W7KchtOrgl0fcht167y7a+M2be1yXpvisXVOkurIcttwWrbSYS1rqEzMHRGlv4wZX4qYc82AwiiwHJqMUDIiL1bFft2WnZu7XN+bcQTB1vcfLmlUV/j6UNztJoxcRwwP2sYDOHqPUM+fMcMV16UMhpZFqYlSTagVYt45tiQetDkBVekPHkk5vxKyK75iH07YM/2GKUSTi1DGFiEsOzdljLbknQHEb1+QKcfsNpRrK7DStuw2s5Ybmeca8PKMGPPrh7f/qplbrtKUwumOLs8xfJajeV1zUpHsN42rHcT1nsZ613Lag/O9yRn1zNuufI8P//uFS7b2WJpbZql1TrLnVlSeUmmoi0/a8T8zwjbzt75jm/9ekNnw+PvFMAPHnyeqFarnz55as+pkwfeee7c+f/8zHMnWF43rHTccnmuKznZybjpkkV+6QeXuWFfg8W1GVbWG6x1c7niQN7uGta7KWvdlNWO5XxbcKZnQfR428vbvOlFhkt21IjjBmvtGuu9kHZXsdYTdPuC4cgSp5YsAyUtUQD1yDIzZdk6l6CDIYfPxjx1KMKkTd744hgdrPPI/mku3gGfeTDl5ddFLLYH1LQizRLmZiFNAnSQsrLS4GU3dfjM/S327YCHD44IaPCGFxlSMeCpwxlHT9XQMmTbrGa2KahHgjAUKAGpgTixDGPo9i3rPUO3b1jvG1Z6lkGWsXd3nze9pM3bXhqDabGyPs3iap2VduDIoA3r3Yx2L2W965h7rQ/nuorFTsbNl5/nF35wiav31FlcnWOl3WRlPWJxLeT0edC1bSwsbP33N95wzZ/u3LX7xHA4HFxxxRVfbygVj78zAH92/wHm5hbCE8ePfO+xY4d/88D+p0SvP5S9QUa7m7LWNaz3DGt9wbme4nQ34ZbLFvmF71vhpstrLK/NsNxustaJaHdD1rqa9a6g3bVuye2mtHuGtZ5lsSs42zbMzvT5hhd2ufWqlL3bFFP1gE63RhRIQBGnPnC10B8CwjDbGnLwtMXYmNsfbjLq17lsV8ht1/dJzDp3PTrDCy4POHiuR3ttipdc3+eLj0Rsm7PsP275F2/tsP9YxLY5yRceVdx2tWK13+HIyTlecEXMXU8NSEcNbr0m5NKLhgzSHp9/REEmOHxKM9XQaAH9gcRYQWYsSQpIgw4N7Z6l2Uq4aMeIl17d5xtuTplv1ji/Os3Kep21jjs3ax1Buwftbkqnl7LeM7T7htW+5FxXsNzNePGVi/znH1jihotrLK7Nstppst6JWOuEfqWUrHcNQRCZG2+8wV5xxWXvufrKS//g/OJyfNHey7/ekAL+jgB8NEpkfzB481/+5acuMyb9xaeefDQItMJawTDO6A1SF9UPDJ2BZb0vON9XnG5n3HrVeX7uB5a5+ZKA9e40S2st2r0a692Q9Z6m3VW0+9DtWTr9lE4vozcwtPuWpZ5gqQdJNuKGywdsn8vo9S3f+JIRF283pJlES0ucwJ1P1DixWGPHbMrTh2tgGly1W3HTlYao1ueRg32Wlptce3GTqZk17n8y4JbLa6z011lbm2L7dsuD+xX/+DU9Htqv2b01YLnXZm11jpuu7nP/0xlz9RmuvazHYrvNg8/OUNdNXnil5Yo9Q5A9njgq2DqXcH4p4a4nAoaJQkrIjOXiHTHf8JKYbk+xc9Zw0+UQxw1W2w1W2xHrvYBOX9HuSTo96PQzOr2Mbj+j0zes9y2rA8npjqA9iLntiiX+0/evcvPlNc6tzLDebbDejWj3Ajo9Tbun6A4EwxEkqUEKy623vjCpReGPvvyVbzxUq9X/Siptvt7Y+rpnMofDAWky/O4Dzz72K6dPHZlbWVkhCjVSOnbSShAGknpkMUa41Ly1CJGhhOKhg9v4id8PeOttq7zrNavs2xVzbmWKKKxTj0IaUUCzrunWJa1BwHRT0x9m9AYZ20aGwcjSHUasLtU4ddISp4bT51KiyAKCUFm0FPQHCkFA2tfceLHg0p2WPbv6jLIun31I8dyhWV5/c8RNV6/xgc9aQtHg4l19nrxfsWtGsTDVp6bqxEnAYheaNc3ubYLHn4u56Yo6r3zBMn/4qQFh0OJ1L7YEUZ8vPRjzmQeaPHu0ziU7G1y8I2PLbMy+hYTrLs5QyqCVBSyNKGLLTEScBHT7IU8fDOgNNf2BojeU9AbQG1p6fffZu4OM3sDSGVjaA1jqK86tWRrTbX74G5f4lltjrt/X5MzyFO1unU4votsP6A8Ug5FklAjSDDIDFrfKPfLIY8Hs3PyvhPUtqzffdPO/7vX6f9hsNv7XBXgc9wG+/+iRB37u2SfvnCPtMj/tso3GQpJ5d8RarLUY6/47gUUKixIZoZI8fWiBx55vcPDMIm99aY+XXjNkpjXFartBs1NjahDS62u6/mIPhpr+SDMcWYaxIU4sSWJJM3fEaYg1IJUg0IJaKJhpCWZbsH3BsHtbn4XZNp97BO5+LECaaV5/c8CNV3W599mEeDjFbTcK2oMBiytNbr3CsDDTp64jhqliqZOgjODGKzSN1ohHD9R4xU3TvOSGLo8eUGCnufmakO/75lW++HjMFx5qsv9EjT1bFNvn6sy2Gky3oB5BoC1KgrGw/6ggywRJKohTGCW4zzjKGIwMw5GhPzT0R4beADojWOpJlnowNENe+4JV3vzSNt/5OkuStDi33KLTr9Hth3T6mt5A0xtK+kPJMIZRnJ83g7HQG1jOLJ7i4LHPzi2vxf/XN77+Fbrb7f9+q/X1A/nXDeCjwSqC7PvOHb/n504fuWNrI+izYyFkFFviFNIM4kSghECgQAiEyJACpHRZRKUsgcqoaclyv85H7tjNlx7r8PLr1vmu165z3b4e8zMNVtYbdAcR/UHgga3cEQtGiSRJBWnqlnrrbyIlLVpDLYRG3TDXSti1tU9Kj4OnE/7krhpHTjaZiercco3m1us7PPh8m9u/MsWLL6+xZ0efD98hUCJiqpWw3hthLCgBW6b6dLohJq3z5pcv8pHPNLj0fI03vbhPnKxw11PzJFmNF12zlTfd0uHyi9p86dE+T55s8MTRkN1zkrkpQSMShIG7CaUAIRwJGGNJUn+zJpZR4m7kYQyDGLpDwdpIsNoFoYfceMU63/UN67zsmoyFVp21dpP1bp3eIKQ3CDywFb2BpD+SDIYwjN2/mSSGJDWVvwftxTU++NHbt3YG9ue+5U0vs+cX1963bevs/xoAf9MP/Taf/u0+g+UPfM9waH6xe/7wQiQHzE7VCIOU4UgxSiRxKtAKlBRIKZBSOXCL/HsGrQyBsoTaUNOCtaFitT3LR+9s8sDTPW67YZ3vet06L7i0zXxWJ00j+sMavUHAYKSJE0WSStJMkhmBsaJYHaLQ0KilRGFMGIw4vTLiUw9LDp0KOXpqFmUiLt0RcvU+xc1XdVDREk8dbrFrpsG1l8D2LWusdqa4bpckNZbPPRQx6ktmmilveNGQv7or4cS5FldeFnB2fcgzRwIu2jbLDfuWuPfJLvc/IxjFIVftm+OqiyKu2t3l8NlVDp2Gh55rcPBIk4YWRFrSjCy1AKR0QZW17mZNM4hTiDNBbyToDAWdBGKTYuyQF17e4bu+ocPLr8vYMRcxGE6z0q7R7Uf0hiF9D+z+UDEYCfpDyWDkV4U4I44NcWKIU+c2xYllFFt6I8H6cpvf+aMvb733mVO/ODdN+uJ3fuwDD3zoSUT4H/7hArx75r/Q2rmNd9TOfeerrn3i1971sudnmtE0SauFUsIBVmuCWBHHEq0kWgm0FigpUFKhlEApg1IZgRaEgSEMLFFgaYQZMzVBdxSw1pnlY3dPcccTQ7bN9nnnq9pcddGQ4aDHtfssF21XjJKALFNkRmJzcEtDoDOOn7ccPSdYHxg+eW+D08uz2DhgtqbYOa/Zu11zyS649tIORi7z3r9qsro6zYuv0lx7aZsvPSEQacDWWUmzkdJPQqSVYCVKh7SHgvOrgmtsg1fd3OW+R+vsXAh58bVz/LNvXuYPPtPloQNNesOAlfUW+3bWuXJHnxdd0eVbX9HlzOoqn7w3YqUfcfxswOnTIYESSCkRCIy1ZAYSY8lSw+x8wvXX9BmNEq66aMTbXzVi67RirhWRJDXOLtXoDUIGo4D+UDMY5cCWDEaCwcgFlMPYMIozhiMH7lHigB2nbqUYxNAfCbqp5uDxNs8c//LCT78n+rW73rcrIfjoH/2r//Rb/OpP/fN/eAB/7MFf5tc+8WZx/vBH3vHIs8d/r9ve35hqwEBGJKlGCJDSusBJB4yUQmtLoCRaS5TEgd2DPtCCIDCEOnMMHljqiaURW6ZrGbN1QT+WdOMmR081+YU/mgOTItKUm6/vs297TJqCsQZrXRJHCoFUAh2EHDgRsv9QjWZN0wolCw3BlnnJ1jnNzi2KvTsyrty7TiZW+PWPT3H8xAwvviLgqoszBmmXrzwVMVMPmJ+2zLRiGnUnhYyRtIeK1Z5lpZ3R7tV52bXrPLy/z3MnFDNTNV50zQw/8OYVfuMT8OihJr2BZb2rOb86xfaFBltnh+ydH/Jv39FnqtHmyaNw4KQkCCxKWYQwgHX/s5CmcPH2jNuuS8mSgCSNsLbBMA44t+xAPRhphrEq5NsgFgw9uHO9PYwzRrEhjk0Ru4zyw2v+QSzojASrsaSbZogk4fa7Ts6cOqN+L5HvTn/l37/+o/v2/K79V9/7g/9wAP7P/9OH+NcfvFR9w6Wff9uffvb8B7788LHaIG5x+UVdrryoh7HSA9ygVUigLYFWBCOFVgqtHZuHWjpga+HS7IFkFEiiOGOUWOqJYZQY4tgylcIoMYxSiFPBMJGMsogkq/HcoSZPPAeZtThoO20cSAiVq/loRXDtDpiqw3RTMttSzM9ots7Bnu0jdmxZJ7Gr/PrHpzl8ZJqbLlFcslty6e41vvxMyvmVaW7eJ5mdMtTCAZGMsEqQZhJhLWkWs9arcX4l4Kar6tx4RZd7H62xbVbQqLW46QrDD79thV/7hOGZ0y3We4b1rmJpTbMw02R2qs7s1DRTjYQtzYS9N8VEQUqgU5TKkMIFExZ3UyWJYnFJk6SKJFXEiWKU+OdYMkoko1gyjCWjWLgANRaMYssozs9reX4LYCcwTGCUCAYJ9BLJeixYGxmy0YAbL+7z7reMWOs+0RgK9YEnHhmZf/lPd3383W/69ay540f+/gP8v/zKHzM/VVNN8fzbP3t/+w/v+Uq7ZtRuMAkWxc+8u81VuzooaRzApUGrDK0CAqUd2GNFoC0jbX0NiWAYC6JAMAoVcSIZxYYkscRp5lyRtHJkkGaWLDNkBqe3DQW4hcCtEBKCACItqEWCRiRpNhTTDcnstGDrXMre7X1azXU+fl/MXU/Nsb48xfV7FHt3BFx+0ZBMrPO5hxo0A82WWUWrMeSpw7iO+4ss/ZHihssTrr/Ucu5sxtJayGDY4I23dLnnyQEHTyuadUkUTnHdJYaf+Z4V7nxmwF/ducBKx7J3a8ZaWzMzpZhuBrQaAc26pRYZotAQ6QytbBGIg2NxV2kpSI0kzQRpKkhSF+skibP94tQF9nFiiWMYJZnT2DlxJKXOdpIEholgmAgGiaCbSNqpoDPMIOlx08Wr/PS7l3nLSzPSTJGkj9UGRn3w1HPT/zTO9vzZsWc/mF18zT/5+w3wMDByeX39XadPnP7tI4dP16YX5umnhiRJ+cv7A+I44Nte1eYdr+kwP53S7dfROiTQGYEO3HOgCWNFqBVR4NgmCv1FKQ5FkkKcSBfRp6Xtl2aGLHPuQma9U5JbjkI4R0Y6rR9qQRRKapGkWRdMNSwzLcO2uRFbZrukdp2P3iP5g8/Ms7VW4/o9gj07Ai7eadi7Y42Pf8Wyulrjqu2K2SloNRLOH5MsrkWE+xzTbZmWzMzAwaOWtY7h3HKNyy+u8Zqbu3zq7hrzLYjCECVnuO5SwbvftEggF/nLe2d59nSNbZ2ErTMp001Fq65o1CX1SBOFEAWgtXUg90F5AXLcjZ0ZyDLnYzugQ5I59ypJMkcKHtBJaohTQ5xQ0dregkwFo9SxdidxAexwOGIq7PLtb1jmna/q8rqbYL0zxSiOGMUh3f65mtHzv6dqdS1k8Mc4nvn7CfD3/Y9PkGXmex44cOSXjx49ObV9StGMDe1E0lEhA6X53EMhX3m6xrm1Zf7F27rMTcfURg06/YxAZ4RBQBhnRFoxCrRfWiVx4lLpcSKIUwfyxLNSmkKSQZY5J8EYF3AZY/MeTg9uB3AX4AoC7QBSi6BRM7TqKTOtlC0zAxZm17nvuZgP3l7nwNEZLp4OuHQ77N4esnsbXLmnQz/t8OD+KeoqYMusYqYFM60Rs9MpYagRwt1cg1HIaidhvW9p91IW10L2bG/xkqsWuf2hPgdOT9GIEgIVIsQ0l+5S/JPXLfPCKxf54O0tHnx6hpWeZutUykwjpVGT1GuKKBBEgSQIXKyiFN4+dCi3uB5WYyiAnmbGr27eWkwNaeackSSFxLsjSepugDj1wE4E/VTQSwTdDHoDg0kGzNc7vOfbVvj/fUefehiy3m0wGEWM4ojhKKA/Cun1T01FzeDXF7ZdEz73xCf/4Kob3/L3D+Dr7TZSyu//wIc+/nPnzp6Zb9UlOnGsoqUhkoK2VHRlnfZI8ct/GrD/8CpvfkWPV97YYfvCiE63zmAUEgYhcaiJEk2cOJDnAE8SSZy6ZTdJvaed4a0/PHNLjKUEt0tSeuYGrVzCJAwstdBQr6W0aimzUyN2LHQ43+7zm58M+NzDc6yuNblsi2DPVsGurSG7twr27Ryiw3U+cpfmyMkmV2yTzLYk080MKUecXrJEWiIFWCuIE83erR0eIqPTV6x1LOdX61yxu8a3vqrNn30p5Nj5iEAnCBFgbJMkldy8b42939Hhc4/2+fDn5njkWJNds4KFZkazllELnWwLAxeraIULnKUoajIs7iYzFue0ZA7wOcjTzEk652tTAbZPHmWCgWftXgr9xJD2YnYvdHjlzeu85eU93vhCg6bJ6lqdURIyHIWVntiAwUix1jk3r2qX/OILXvwW1e93fr/R+J9TU/4/BeDdTocg0P/s3vvu+7ljRw5sbdVy79olI6RwQZ0WGaGQdGREZ6T5yJdr3PlUl5uubPMdrx3wppesszAT0R9GDEYhSRIQpwFxootAKU2dl51kubaUZJkgM6LU2kZQqBLrmFsKlyhyySJDGBiiMKMepbTqIxZmegySAV96yvInX57mwadnmA0Drttl2TEn2TYfsnOLZPe2mEt2rfHksQGfvGcL00qzZVow1RRMNRLa/YzPfKVGK7QI4YA1GGnefNuITz/gamLaPcPimmb31hZvfWmPB5/rsv9gSDNKUVI4kJsGw9hp/X/ymjZX7FjkI3d2uP/ZGU6s1dk+JZiuWRqhoaYNYeBcJyXdjeyYHPLyI+OlmjHlCpd6oDuCcJnkJCuBPUwFvVTQz3AxTxzTrPf59tev8q7Xdbn5ioytswGDQYP1bo1R7IA9igOGI80wdm5Nf6jo9gXLTx/cmogHfu6WW24z7Xbn/dPTf/sg/1sFuElWOL+coJT97qef/MovPfLQ3fPxsEOzrkEYnAoUDuSePQNpnHMhFb2wyalOyJkHGjzwVI8/u77D21/T5w23DZmfCRmNXK1FnAYkSVA4AmmmSFNJaiRZVgLcWM/cpqwpE8L6oNLVcWhtCIOMKEyoRzGt+oCMAV98VPJHd8zw9NFpRBJx8axlx4xlYUaxZS5k+4Jk55aEPds7nFzq8jt/1SQd1dm9WzDT0kw1YaqRIIKYzqDJTMsihMBaSFLJXKRITUo3Cen2M9Y6itNLda65pMUP/qN1fvGPI44vNdEq8TeGJk1rDGPJ9vmImy/rcP0lPZ45fpo/+XKd2x+Z4Uy7TjNStEJoBpZQWwIFWrp0vhDj1XUGsMbddJkRZBbSTDj/PBPEmUsSDTLBIINhZknSFBPHzNf6vPG167zztV1efl3KVE2TpE1W1yPiJGQUB4wSB+5RnFuQmsFI0h8q+iPJanudU1/48tZu3/zSrbe+KD1z5vT/EKrJjm0zfzcBniQDtm+pveX4kQd/47mn7pwaDvpEkSbJUtJMlMVSCCQWgXA1JRJCaamlgq4MGaSaxVHEXz7Q4K6n+7zoCz1+5Nu6XL2nw9YZxZTUxElInAakqS5A7sAtyYzr0XR1WaJIvzvmNihl0cqgdUoUpgQqpjNIWOok/LeP1zi6OMuj+2ewJmS+Lti6YFmYFsxPKeZnArbNS7bPp+za0md+Zo3PPWZ45NkZrt8tmG1JWg3JVMPQrMeIYEQUabSrNnBZxszNaRkME1Ij6A4M3Z5ltRNwbmWKW6/s8ZJr1vnIF2rUVxVaJg6QVpNmIXHiejwXZmq88NIeL7ysx0OvPMPxJckHb59hcb3BqZWIUEmagSDMZZh0q2dB5LlUwTF5agWpgcQIRhkMU4iNhSyFNEGpEbtmB1y3112PW67OmKpr0rRJu+eCyCTRjJLAS0nNKHZ2pAO5ZBirwobMjGRlbZ2Pf/L2+c5A/MYrX3bLWrc3+OTfJib/1gB+6NAhwvou9fB9H7rs3OnDU6urHSBECoNWLgmReamAsN69sOj85CsIFdS1YZAKekHEIA1YiRvc/sg09z07oBmN+Kff2Oai+ZS9Owfcem0XLVyLmBBOrrispKuVtrbC3FiEdAVao8RiSUGmPHNU8vBzmk892OKZEy3itEFLK7bULXNNy2zDOh98SjM3rZmfEWyfS9m5ZcCOLWvc9fSI935qKztmNFumYKqpmGoKWo2UejTivucVw1gTNB2orBXEqaSmFS+4YsADT824wqdBxnonYHk94vzyLD/4pvOcWl7hgce3EEhAJBggTTVxEjCKJb2BZrZVY2aqyUuu6PPK6/t8x6uXeO6k4dMP1njwuTrPH2mSCs1opOgnCiUkQoiJwNPnBKwhNRZrDIHImA5jaiS85KYe+3YM2b2Q8F1vGFEPFc2aJk4atLshcRKQ+PeVS0cHdB8rJbnPrgpTIE2dfAy0Zq3d5otfunvq7Pnzl/3Iu9+ljh45nO275G+nc/9vBeDP7X+W2enp8LFHH/neo6fULz/3bB8lA9LMnUApQUuXoMktOlfz4QO91BJIgVaWMLNEStDIBEMNg0z7o0a3m/FLH5nFpgnbtgy5Zs+Q+emUt79mwJ6tMUniVwkkVJgbrz+lNAgp+NiddZ483ERozfEzDU6fb1CrK6YjwUzTMlUzTNWgVRdMNxRTLcVsSzM/AwszKdvmh+za2iGz63zsnikGvSaX77ZMNRSthqRVN7RqKUEQ87kHaoz6kmCr6xbNJUqzrnjjiwbc/ZihN5L0Bhmdvma9qzm30uDqfS3e/vIOjz7T4PhqCyUNkHi9HJBkyg80kvSGmnYvpFVv0KyPuHr3kBdfOeTkYptjZ9fRQcYTRzR/9uUGQikH7sn5g9ZJSKwliTP2bkt552sGLExlXLnXsm0esjRgFLdIU9c1laTuSFNNkimSRBXPzuFy8ZEDdel4OWfLXRetBXMzEVq12T5tf/mxxx7p77344j84cGB/fOWVV//dAPjJU6dYXFq64uyZ07/56KMPS63dScwy93PprbjATMgFCTJ1GlEri06dBky0Jcks9UzQyixxJhgZwSgLGJmA1MBSb4ovP2mwZPzFg25kA9b4I8/ieYtMCIRQCCGRSpEmGmk0gZa0Iti3xdIMDI3I0IigEQmadUmrrphqaKZbktkpmJ9O2TI7YueWLhlr/Lc/r3HvU1u5dB5mG569G5JWPaVRj2k2BtTrDSIlUdJrcNzFTZKA4UAwGGV0R4re0NAdGNcy1ww5dX6al10z4offcZ5f+TPNifUIIQzWJpjMkqQBcSIZjgJ6A0VroGnWQhr1Go2oQS1KaNVjbr48JgwSbrk85bte20er1CeBDELYcVHuJZ0xEiEkUaCAkOFIs7KmXd1Olsc8yidvFGnmCtaS1MVCedCfu1qJL54rrNxMFKXPSglqkUYADz/8kNSB+s3RaHjPcDh8+m8Dm/+PAX7HF/+C+Tldf+7A4bc99cxB4U6QX/480IR0ALdWYoWpMKoLNNMMVOaAnlfBJYYims+MJTWC1FgSrxFTI0msJDOaxERk3vaqPoospQAthMtUKqjVLTVtqamMKIBIQy201CNBPZQ06pJGTTuANwUzLcPcVMr8zIitcz12bl3hvZ8yfPj2bVw0o1hoGaaailZD0WxAo57RqiecXTEcPhtRC135rTsnLqAbxpp92w3bF4Z0hiGDofUsLlnvalr1Gq3GDN/12kWOnD3H731yF1pqLIbMZO5cpE7jDmJXFNWvSRpDTT0KqEeu1S8KU8Ig8wmzDC1do4SULp0v/OFKV9yEgvwato2vsjQurnHxTRnrpJXnJHNlCKm3bB3ghS9FFsSZKL7Ocgb35IfCxWMK9j/zlFhvD962Zfuewx/56CcG73rHW7++AH/pTafCk2dO/PjpM50fHwyGUimJMaVjIITwlpynCiG9VegsOpVatAKdQary5IMlzL3ZPPNmbJFmz/JkhQXjmyMMjGlud/JAitJ7d3rfOQuBEgTaOt9YC2qRpBZK6pGiXlO06pJWwzLdzJhppcxNjViY7bNn2woPPj/iI3fuZLYWsa1lmGoIB+66pFkzNGsprcaIBw/AE881uGyL9bq3TJsPRopbrrRcvmfAQ0/P0B9ZBsOM3kB7kAc0anXqtRm+/RWrPPH8Ig/s3w5WYUzmbvrUkia2qCcZjDSNoaVeU9RCQxQGRGFGpA1aZwTalRgrZdwWLNJdB4RFUOq5MjgX/vw6kBsjvEMlSfPUv3etclCXrx1TZ2n+Gm/jutxEVi60xbnRQpIkI7m2evb/PL2ehLEJfxaIv24A73R7sj3s//Rn7/qdf/3402fCmam6YwQlPHsKJLg71ANbCFP44Klx/niWOYmSGjAZpMa1qxl/IpyNVaba/fCqInlTybyPrbh5qjpfKZT0GUtFpWjLZf+iUFGLFPVI0KgLWnXLVCNjupky0xoxPz1g55Y1Hjgw4Kf/cBsnTs1wyYJhpgFTdUWzrmjWoFnLqNcSwmBIe2hRUhEoi5TlO8tMznAhU/WEfmroj9z+PP1hRrcvadcVjW5ELWpx8faEn/neNv/hA5Kv7N+GRWGsIcsMaZb6VLpiGCsGkaQ+UtRCSRRaolARaUMQOL9fK+vLjR3AlZcpQtgNDbrGxzHO/XKAzuvmMyMwRb7BOUOpceycZYLE3wxpRuU5X5E9wI1f5YXHi4QoEGhzJrx4Cz/6trd9f/BTP9z/90HY+Bun8//GAG93OmRZ+rOf+fzd//Ku+5dqNa2x1norThSJBQsI60tRhS1ZVVqksRgJmXLSRBuL8aydd4znaWVjbMnWvgw0P5gAuJfdpQzyTRJKOcemKLfVrqYlDBS1yI1kqEeWZs3QamRMNRKmWzFzUwN2blnngef6/Ic/WODAiTn2zjmHpVWXNBvSsXfd0qhlNGoJSRbzoS+0kEoRSIsSpU1orF/Os4B/8vo1Pv9ITDeO6HuA9waKbk/RjjS1MCIKprjyopT//H0r/NQfCO5/ehvGSjLj0upJ6grNRrFhVHPlrlEkqAWCKHSZzVDbImOrlUEqZ89KYRH5c5UhbA5yCkbPJwyY/HW+ovpkWpaJss4l/1kO6Aqwjb+u1ub4sFgpiiRcGISEZql24On7/tVVN7xa9Hrdn2g2W//vAvzgwcNYa1/y5OOP1Vs1S6OmCbWr1S5rIPy5smCkOwnSSpSyZfGTst4ZsP6Dl3Uj7kTmJ0MUjG08ZVeZO3/kAJfCa/+CwUXRPOEALgkC6eo3QkEtcjNPGlFGs+7APdWMmZkasGWmzYPP9fnp98/xzPEFds8K5psVaVLTNGuufqVeS6lHMUEw4vTKLIESKGm8LVcGmVkmSVPFjllLmiZ0khqDkWU4MgyGGd2hpN5X1MKAMKgR6Gmu2p3yn//ZEv/uffDAs1udVMgMSWZJ0swzuWEUGWqxZBiqQoIFAQTaSTRXp+IsWiltUYufLzITGHdyhXzV9CD31yTLCch6MFtRrLwloHOAly11tlo6IQQuRBGu5a0nGcUZg+SJ+szCxS/5f7LjxN8I4PfcfTvTTdv40499NrTZgLnpsNJ9M5kaLpk2z5gZ41LINq+FsFTAbTE2B7UtTkYhR/yyaS/w3mTB3q40QEpRgFtJN2u7lCdQCyAKDfWapR45/dyoJ0w1YmaaAxZm2zxycMhP/f4sTx3fws4ZxZamYbouaNUkjZqiURfUa+7mcKn+mAf2C3rDkJrCp8udzsybEDIjSFJNs6a49douDz4zRT9xMmUwyugPFN1IEYWKMAi9fp7h6osMP/8Di/zY78L9+7eSGElijG+WLnswR6EkCo1j76Cso9cqP/AypZRx0md5Nwd5zriiIg8h85liY9xrUwF18boo8PIkVqnodE6XRYp8VXCafTCS9EZdbr/9c+H1N7268ZnPfq7/pm984/98gJ89c4Jt23bNfPlLf/k7zVryiqSJt+AYr3uonKUqwHUeHOZsoHOW9nUjY6Aef7bWFicFr72LP1PRcS6wFQW4HcBdoBtox2RhAGFgqIW+wCrKqHt50aqPmG4NmG11ePzQiJ/6/VmeOLaV7TOaLQ3DdB2aNUGzrmjUFY2CvTNqUUqrMeSuJ0LW2zVmZ8s0eQ6YfDlPMsXWecVrb+xx18PGddHEpgJySS2Q1AJNoEO0riOl4eqLLD/3A4v82O9a7j+wlcRokrwCMLMFk0eJLKoLQ+06owIt0FKgijZAivdX3ITkaX1bXETLuCysXtOieKtg81KG5NfTWOtvjPJajuUpcNctkQKZ4AGfMkx6r5g9efx9b3/7237oyLHj65dcvPd/LsD7nTOcGCz9WHft6LtktsLsVFBYPgJbebNlcVN5cioaeuxkVLW1KNg7LwbKK+DGmDu3IP0VyessnJ4sa7yVKisGtcLVZ2hLELjG4lpoqIUZ9VpKo5bQrI1oNYbMTbd59PkRP/67Czx+ZBtbZwK2NjKmG9aD27N3zc1sqUeGWpTSiGJSM6IbRwglCXIGLzS48CuZs9SSJKAZDl25QFxjNgf5MKMfOgaPQul6VXW+Aa3luostv/hD5/k/fttw/3PbSIxmlAniLG8lE9QSQxRYwkAQauNXr1xGuhVN5Y3dXtLJSvwCYmwVLhh9AtwFCXkJksvIvDzZVIBdvbbu380xI7ybU4lVjOX8ynmsPPKuPQ8+fjiOk3/3P5XBO+snaU3v2vvIPb93vU1OMTsFie+SMZUkTkGrRRAoJhi50mVSfOhxNiikiB8sU56QAuEla1eDyny59R06ygdTrr/TATvUtqgerAWZ180J9dqI2ak+080uD+xP+Yn3LvDYkW1smdZsqWdM1ywtD+56zdmJObjrUUYtTJlqxuw/Zrnz0SahlATK+CrK0qPIXaEkU6RG86qbEy67pMfhE3W2NPKRDG6eSX/oWVgrtA5Q0vqkkeXavfDz717m3/2u4Z5ntjBM6owySZxaGr7TPQpwINf56mWK3lapsmKFU1JUAC4qIGeDXilBXiGesdW2IjGrN0BFanIBwsr/Qn6ORrFg/8HTqPCh63/qx9699+CRU8cvv2T33z7A11fPooPpi08eeeBX4+HaW6Tt0awHJKmz9UwlO1UFdS4nzFigkjNZ5UOb0pbK/7tJp6RyjskrnDeAW1ikym1BBwatPGtrN2IiCAxRYIjClFqYUotiGrURc9N91rp97n4afv6PtvPkoQUWPLhn6pZWXdCsicIrd86LcewdOoDXoxFxljEc1Kgpd5PJHDDFtfSWWyZJU+20vB4xii2DRFQAbgjDjDDQBIFEK4WSQQFwBNywT/DzP7TGL/1xyv3PzXOmPcWwKZnJLK3UUvMTB6LAeu8/d1Jswd65VMkBXrxf/6arOLfV65ADnHGwmwu8zhmcTVbkKlby30t90q8/6HN+afUtt3/p/uyVt934r06ePHPsoot2/u0CvLt+DB3UX7y6uP9t7ZWDhGGIyjLvX5cBwlgwMgZWUQGzqMgOUQF4me2rArx8jKUjiovgxj3kvZV5Ka71VYOOubU2BNoQFuWxDtxR6ME912NpbcDPfajBJ7+yheXeLFumJVtqHtw1p7sbPrCsR5JGZD2DO+1di2Ig5o7HQ9aSkPloPC5BVJd0p8PjRDMVaV5zU58HDsR0k4jpxPgudkM4crXqzqFSDpgyQEiXoMHCVRdJfuVHOnz6gQE/+/5tnFqeZTCjmQkFrdTQSCFK3OjlULmBRoEq586oIhh3z9VAXVTiqRzgBdAr1yln3bFYqUjAja/cVfY3E/9Oqed9XsSAEYrHnjzE7p3b3jbVan6o2xsc+1tl8CTuoYPG5eeO3/2/99cep14DS0ZmBDqzhelvCitPjMsMK8aXM6o/t16GlDq9PGmTAM91NxX2tt5XL/115aWJlg7Ybt6K8S1wGWGQUgsTojChVR+gdZ+7nsh432em+NS9W4nNFFunBAs1J0ucBZj75MofwjN3lb0TtB5x37Mz9GPNjob1N9wkg/tA07j6jVqgeMnVA1LjAD5IBMPcDYndyLVA5xan8kB02UcHNsHCjOBdr+7Ris7w/s8MuPvZec4ldfo1yVRqaWrrQK59HKJ8BllZD3JPDEIUZCEkSMRYXLXhahQsbMeIqZAg1sVQk7mLzVdqW8RihSPjrccMxZfve4brr73yf/+Wb3rZY51u/+DUX2Mk3NcEuE2f5+yxTxNE0zuHnedfGYhFgnpEZozPXvl6hUwWzsgkwMekRyFVxPiHqzB+Cew8Ui1o2wPbTkgTW/i4ShoPcONrvj24lavFiIKEMEyoBTGNxpAw7PNHt2t+4X9s5fDSHEFUY3tLMBdlTEWWZgRN32Ffj1y2s+YTQq5+JfMrgZMny52MXhwSKkUobRFgFo4SpZec+fR2nAbUgyHbZwas91sMEuHHrblYIQgyb/Mpb3eqwr8uA1dX+fiWl/e45Zolfv6DQz78uS2spk36UUAzkExpV4MTaVeanDdD6DzpIyluyDwLXJzrTQA+hpPKdbNsAl7yeMpuCu4Nboy3UlPfaWSM4siZDnd85blXdgbZzpW19YP3Pn6Kl73gq+vxrwnwLMvYccnLLx6sP/HeweIDTLUSsswFSEXRjZEO4EW2axzY+TMTwIfKzyoM/tUeeUpZVNrfSua2fvxEhblV5kAepITaSZIoHBEFA46dT/m9Tzf5xD3zHDk/y1QjYK4Gs1FGK7I+9Z6DW3pwyyIpVPPaOwrdjTPVHPHx+zQHj9ep+UldpW1aorwMsJ0OT1LNVXvhm2/p8r7PztNraKYSyzCxRLGPG5RxA5BU7gzlIA8qKHOrwp4FyU/84z7X7zvF735qjiPnpllN6/QDTVMJGh7oobTuxvEuU8niZSmzEH5TmKqFOAnuiS8KTU7J5qYC5vx3zGbgtqIAeOrLNhLjmsh7qebP7zrANddf895vfP3Lv3Fppfs1pcpXBXhvmKBCzf0P37N7uPbIpVcsHGOmNcNgZNCpLsomdV6IY0QBcuvHoZkqa0/KFkpAlyDfHOBClPIkB3YpT/LiLeNdk5y9MwKVus6dICWKRoR6RDeL+c2Phrz/09s5vTKDUXXmphVzoWU6NDQ8czeK9L30dSpemnjvvAB36LKXoyTm4KmIXhwxG3kXJ0865a5EZfkualISzVRTs293jIqGdOMWg1BQ9zNIQi+vAi9RdO56+PzDxuBVsWW6zw++pc/bXnWO93+6w+99bJ7lQZOBrlHTioYW1JUlSq1jc+mkipalrZmvigWTMy4PN3tssBNhczmSv9/ihqeUJ8bLEt86N8ygnwm6CbB8hv76vZfqNN79sptedcxkI6SK/mYAP35ykYX51pbFtamP/vufPxD86r+Cl13bBRooFZAkGq2UrxMWvlWsLMzJK9Ksn8dhEYxlIj3Ii1JNO8EGOVtUT66vfCtPfs7epphZqKQDt1YZYZBQC2PCIKY9jLnvSckf3T7Fx+6ZZ5i1CMOQ+VAwExqaoaURWRphCe5aJIkiSeSliUsMeWfCAzwMXObz6FnL3Y80iJOAqGk3BJj5I/f+81LUOFEEgea1t3T5yBd7HDjVZFBzoxlGgSVMIUgMQWxQSpYDSYUsh/vkgMk9diNpRJptMwP+j2/vc/WeER++vcXD+6dZGjQZqpAg0NS0oC4hkt5Gze1VaYuaourBZkCfdLmq7kjlOhdsPQH0alVo5jOiqZcnIyPoZYJhasgGQ151/RpvvObzwZ6tL//ocNC5EbO+9Ddm8Pm5pvzKY4de/L4/u2v6mdOCP/5ijVdc3yGKlGdP48CtXKtYUVJppdPYVozr8JyhxwLJzYG9OcArhUHClOwtjbcDMwdwlRVyROuEdi/h3qcFf/jZKW5/dJrVdgtZr9GqK2YCy1RoaASWRmiph3jWdsxdjyS1UFELBbUQX6FnPLiNWxnCFKVHPH8KTrdrLrHi9e144qQgcN8HKbzOlMSxZtuU4PKLBjx1IqWfBMW8vzDGgU9lXqLkiRqQE3UaReLM25BJ5urD3/naAW940RpfeqzLBz43xcP7p1jpNmjLkF6oCZUglIJI4no4pdulTokKo/tWwyL3wNcKPEtWz79vClCLDTLFGEFqIbW+L9S6bv7YGGw6AtvlO17XYec8LJ/67PTMdvvi+txVn+WrDA/6qgB/8sDpqNOLf/u+xw4003hEuwdKpYR6CMY18KZKYXwRvDHSg1tWtHbJ4lV5kn/wqvU3Bur8tZcm1eJ8MQZs458zlMwIczdDJix1U+56RPOZe1t88u5pFjtNRK1G0AqY0jAduE6eeoCXHVAPhT+kLzn1ujsURDl75wDXKWGYUgtjrE2449GI42frLMwJAmn8Mi/K0oUKCqwpy0+zTDEYBezdJnjtTX0+8ZWYXhIwSAS1wBKmjsVHia2sUqrwqxFyTKa4Q5aNCsb57fVoxDtfPeAbblnhL+7p8ul7G9z1ZIvFdoOBCBmEGh0otBAEUhBISSCsl1rWOSxUJGKVySeu4WYArz4byux1zuCphcRCYp3uTq3FmAyyGNIhmISZVkqrkaGTR5q12it+m/TY1cDgbwTwR596mJXlLuvHzoIEY1wniFYJJhBImaGMdidRKUze8Gv8CR4DOI65J7R3CfTKSSpOmi1lidfb+cqhpEF4gGudEeqEWi1hOMo4cBqOnVH8yRem+ezDUyyuNSGooacCGkrSCiwtbagHlnoAtcCBuxa4mYSuzFRWDuF/bj3ITQHyMHDtaYfPGJ46GkEQ+GXeVlL0Yozqqst1luV1026c83X7Rlyzu8dzpxsMaoJGKogSy0jhrT3j2Tt3U3ILstQqhc/urUhjlJ8+EDCMA+r1Ed/zxhFvvnWdzz/S40+/2ODYmRrPnW4Qr0ekkWaoNVJJl84HtJSuMpMyCFWiko/YhJwmkzhjwMZXHlLagu6wZHnrocnAJGATsDHYDKlAN0c0zQmWV56e0dPf/51rHfu+2anNg4ILAtymB0QS9//3L93+fy2037nOU8c1N1yWQghBmKBiQzIKSLMUZR2Lu1ENJcA3Z/Bx9q6CvMSALYJJx+KmZG1hPMAzoshNUk2zjHMr8IUvaw6fqnPng3VOr9U5fKYJUYRqaGpa0dSWpjbORQgskXaD46MAD+L8kP5QHuB4ze3BHWREgWNvd2PFHF2C/ccaBHLcHiwkCmWNRTXhZbzz4QL2gGv2Drh8a5+nj6T004BWIhhpCP1MQFUBuJQCIeUYk0OFFU1FBmX+b2SKJAsYBSFT9Zh/8voRL7++w+m1Dnc8FHLkZMTnH21wZqVGNggwUpOECiGl78byf48841n6Q1U2H9PgVZAzocOx5FvUFP20NgWbuWeT4ga0pCAsTx4O2P5QxDPHFAdPH5r5oe/p/HAYjt7PBVTuBQGern0CSN/1yuuPNW+9YcSDh0I+9IkGv/6nLa6/LGHXbMZle0eEVpLFyhfgex3ugT4JbvzrUqNVfO5JcGPHAkonRZy+DqKMJLMcOSl46ojiCw82ePpoyLNH63T8HDyCEDUVuA59BQ1tqFd84EjndRp52ayrC4+8LAlDRRhKfwPYUnsHmR+673R+LUywJub8qmRkI7SWhNKiKzbbBIEXIM/seL9jnAYINFvmYqQa0ksC+lo4pyMpC8a0MmMZSCmqRruXhwgvFXMZVPZQBpkqxk/0RyHbZ2P2bEu4+ZIRg3jAPz3a5uljIV94oMZTR2scOVEjSRVECisVRkjGskE5xPMCrfJK+v+3hQYfW2YwleectY0Ht4E4Q5Nx6cUxu+YSrrss4dJdGT/7G9M88HyE0IusxZ8g0BfesHtTgJ8/9pesdVaVTO4WdaWpBSNOnlJ84s46f/GlBrN1y57dCdddlfD6W0a85gVu+Qg01Jtgjf/QRpAmHuxFbYoD+thtXgA8DyYNWrs5JkIaktjSHzrgHzsl+ePbI/qJ4vFnaxw6GbHcCxllIegQVICaUoRSUFfQUJaawo0zU77wSDnWDgPhkh5VcAeS0MuSKIQoxLsmLmUeaEMYpD4jmlCvxSyuZXzh/hbtbsTstEB7L15WcLBhhbT59RRFVnM0UizMK95w65DPPzzgRLvJIJBOpmgIUkuQ5J6199hl5uxCqrNOZPE3jNWVv+GAHmaKTCvSQJFkmiQJvJWa0AwTXn5dykuuHvHWVw55/qTkif0Bg1jx4S80OHouACHpDzRZrHy6U2J1CXA71hpEUTFYorxMZYrUIIzFeoDXmy4hJzC85qUjXn/LkGuvTNh7UcpczWIzwZ0PhYye1UDEY/vPiW977fXqdz/0+fQHv+sNfz2AS2FBzf5m3IlvaLQynjkU8JO/MctqNwQkK33B0ZUa9z9l+egXUrbMpVhjuemKmHe+bkjmdwfeMmN4wXUjmjXACsRmi0jB4O4MSAntvuCJxzQrHVe19+D+gL+6p8YwUQwTxdlzIUZoEhtgRABaIyKNlpJQCerSUlOWSEGkLJGyrgZce89Xl8wd5n2ZBbiV79EUBXuHgSEM8wKtrGDvMExQKubLjyk+8ZUWKtTObhvT3xdm8NwLdzpckmSK4TDgzbcN+OR9HT58xzS9tEbT6/Ag1+FJnpSxRbeQEPmdlDOorGj9CsCNY/JUOyYPtCLVGp1mDugqQyk3SH+2lnLblSm3XplgxYi3v7rPMHHj3P7ynoiH9ofUI8FyR/HEMyGdnkTIzdT45AV3pbXNmuUFN8YszGSu8SUzvPN1Q15weYI1sGXWMDdr0fiFwgDC8LPvafP4kRpPHjZ0uqMbts5N/aaxbLplxAaAW7sELEwNl3/vyvPLy+qjd0j+x+enObtWd8jwS5KxMLKW823L+XU3NOb5E5a/+rK7E62xTM9mvPiGhFbNYIpKmws9HANIKVjvKR5+KqTTVkgtGRnJyGrHTELjeuI0QmqklARSUFPOy42kIZQVMMtyRp8DuSgbHrRrBMgbj6vgdgzvy2qDnMGzypES6QRrY04vh8SjGtG0JPRpbyUqvanVJbya5PCuUs6smVHEScBsS3HRQkwohgzSiEEqqGs3BDOvIckTWkpWy1tl8bfc3/DJNmPK7KkxRc4il0ZpmvmkmPIlDilJmqESN2ZCqwypUnYvGL9iGK7eMyS2A6Q2tNuCh58KWO872TRWgngBkBsDzZrhJTckTM84ZrYW6kqg/A1qrMYkkrgSrwlh2Dad8vP/2yp/8OmMpw7X1bHz61f+3L95+9Sbv2Gts2fn7FcH+NGTq0jZ/cUHv/L8q//7H1ke2L+T4SjEBBqEAuTYG61W1qQY2rmmkpbOuuXsl3PB/dUao8eLj62QmHzLBfyzUGWQIyVKuJl7kXQp51BavwWJ9fNPSsbLwR1o11Hvtt6jALdr63JbokShINQUJaaOwT2La7cnUKBTgiAhihJOLhs++Pkm6JBAijLALOSJ2MDg1QxfPiTUgc0lzeIk4LveMOAv7hrw7PkWvSygkbpNaV0VoC07cfyePMXfKlZDUSoBIysFXvlhiloYrRVBlpEolzF1BV3OjiwsWJUV7pX08ZAWFmEzFhqWb3qZAWGK2InieTN95q+5FdgswKTlzZhmkmQTU6JAirBImfHam1Neeu0a9z3d5dkz069eWnzhL2qSDbtbbQD4T/363SglwjvuURxfvAi0gJpfAitAdHIqj4srTv5Y8ABZULkJvibA82fpmxlcpJZH61pAIDwrCycFtKTynDfVVgqJNJU5KA7koS676kuAy0K2RKEtWtrC0FQG56QEnr1DnSBlzPFzgqVODaE1kWRMnsjKx8o5qDhj1VodUw0EFXEaMD81Yu/2Ac+dGzHINMMMokwQZJYg9To8pXCWysyiGicLf1ncpF1bNKeU0sigM0OmJErn25fnTJ4PCaoC26BEPhnLFEm3ao4C4aMAceFrXvYM+BWnKN8ozYiqvVy9O4RwJQxSWG67xnDrdaew3Y+H4SYkugHgJ48e9/NMRsy2AjIryfxFyd9vCeuylqBq5EPekmQnVMlmHzhnHYpAKS/wcROpQAvrDw9aLwHy18WzbzDQRSkoRYNt6BuigzFwS/cc5kDPg0+K7QlD3ySRS5RAO30ahgkpCZ++r875pTrBtCLMpYm04w7KJI9VNHg5gqFM+gxHboLtm17a474nh3TSGn2tqaeG2KfTlSwLososo6HsHMoDzbIO31mHfqaKhUy5v6mNIFUCneVbN7qyhxzo4wk1W4x9k8L4gi9bAbtHRuGEXZjWqo0xMGEne2BP/k5eA5//fpZBahRCn9oUX2MA//BHP89Uq/ayD33s7lsWzyXIEDJMsR951cscqyPIW9KgsKiMB6+p3BRVS7DgmAoANiQSoMiiSZ9J00XFm9+NWObPohiFUAV2MQdF4foRNwN4HnDmulvnssR6vT1eSx4GCWEQc65tePRQHXSI9vJEVwqUxrJ91SATMVZtV4xdyLOOmSJJAm66bMT8zID2WoN+qmgoCFL3WVRm3ZFUAe5zBsUfkhOlyML3TbpchVGGzLiZkZmSZMqQKUHqQZ7KsnhNemcor9aUHuBC2rEs89ikrOI6XwDom9YibZIYrGa8K7+TV2OmqULVpm+Z2/n6lx1//pvu3XtF6aaMAXw4SrDWfpMS5gXSJrQiTZp3vPsLMm7S56C3G1g8r7co+/jGB2+WlqAvx8xfF8CwPlCjUsJZak8p8pa0sjhIKTfFVvuWtUAJVNG9UgI7b7517O01t6bQ27kl6Bi7BHfg9bfWCYKET90Tcd/TLWSkCaVw87eLCsLy85SZvslsZnU0Wu6JKzKjGAwDbr12wDe/vMvvfapFnEX0Mkktc3tSallWKxYyRUrP4tU/dSEmB6Oln0cjyJRxLJ6DWwm0lH5AUMncBcjHSiZ880UB9EoWegzo+SevlGdUwFtNAtpqzqQK+Py8VWKXOM6oafECk/a+yZrk3k0Z/OixU8xMt97wkT//wj9eXFqmHjmbSVc7ovNl9QLALt5chbHzhI6tLB+i+K77P8nEcu6BUa1LltXvFaPYcqDjGZxiPISWFRb33TBuU9kS3G6cwgRz+57N0Le3BTpvOEgrR0JMwp/eMUVmI1SRvawGmGVfY+5sjGlwRGWUgp/95+1CF2xqBAHvfE2fD316xLpJGGQ1BpkgSClYXEqLTP3UMGm8XTipRSWlNVmpATGCTLuxDqkSBMqQaes7tSSZtEhlXLpeGhfc54AussplZWcJcnx5xXil0ZhVWl3RxwhwvJy6CvBCwhhRZILzFa+9vkJ9pveP917+DXeur57+/MzcrnGAJ0nCcDS6bDDoXzrodagFobu7ZbVxIQe4HXMCiueKBZb3H1Y+zoZHXilYBbgrrsengjfWJZedJ+W+9TnY8z1plJclSk0Mu/HA1kqUTkphB7qOe9eYbD1zlwGmrrB3FMQ8ekhy8EwNqwKUlITSoKs3pbcJC4dwskjDH0WBf6WWPndUkjTg0p0J11zS4yvP10lUyCAV1CQEmUWnwhdB+S6c1OtwJALD+J+cqOwspJF71vlAJmO9VPE3bCb8DtRyjL0dc8uyLj/X4pUyi2Kl3lCQtZHFxxl8XIPnX5vq1/nK5+cjDoYDpvuDS7M0vixL089vYPCTZ9doNoasrg+w+PFrMg+Exhl8Y0PxRJCZNw9z4UcZWG5k8fx1ritlhalLySLK7nlB0emSM3m+72V1++8c4NXhP67bngLYRbayYO7Mbxfug0udYEn4szsarKzUEZEmlM7dUZP6ezLAHPPBy3EZ1Truwps2bpeEhTnJO17b5dFDU4yyGn0VUs+cFh8rZ00rpawY74kXQhGQFf2aL/O2coO5Wmxt8FIpX5H8FGCTN5fIMblSXic7ds3GAF5c8AsgwpZgL/sFxBjwq5Wo40NB3e+6cdA90mSRLB0W/3QB8F997yeRUtJtr6O1chY0E+xc/MGJJtKxu26i0GaTzzR2R1cr0sbA7bPAFbCosaE+5cxBx9rls5bl3pdKjwM81H4AUJBvHeiTQtoSFKl4419nY4dWrnPn2ePw0dtbjGSIkspnL8dnskxmMCdjrPKCMqHDvRbPFGmmiTLNO14/5A8/2+fJI3USFdCXkjAz3j0SyKxKBNa3l1WtWeP/1vi+RVUmL8EtikGobmU0yCwfMVF2TxV9m7KixavgLq5zhcE3A/kYuN2ZmpzEUDL25PfKf01JzbD9LGcOHseYUqJpgOMnT7Nn987Gj/6H39z31LNLSK9ZC824gcEnRwCM6/Gv1sCwAeQV3Z0XxG0EuRiTJ3mddTHuoDL+oDq1Sesc6F57qwlw5+n7IG9MNm5mSNEi5hMfOvVHggpiDp7WdOMQlPbyxE6Ux058rkkXpaKHbYWNilS6qSZ+NM1AcOWuIU8ejMlMxMCE1DJXs629BlfCbdbqbNZ8FLKhTMzlF72s9MzHdWg/3SAfn6d8N7uLZxxjZ8ZSFnfldTZly2DB3pSNKeJrgbuK82qAWQE31ZuRkrWNFWM4UxJ6fYhaO/a94KXvaayt/Eh/dn6HA/ip02dZX2u//op9Cz/23LNPo2pyfHAm5ckogW7H2Z0K4CdYagzY1eeqRPE/yOunc6CMD4csGwjyfTeL5wpzy4osqe5iHCi8F+7A7QBcDgXKGTzQE+yd93WGMatdw3//8xYrgxoiCpw8kRV3pzro52tkrMtuc+HPbZXBnaOSppqphuY939rlS49OsTIKiaVmICVh0UNZvbnc7nWFTSdMUUZrMR7cBotk3Flx/5axFmVccG4sSONkX97UPQ7sEuzVPtkc7AWwK574pm5hTooXAHk5zm+TsST5PyAkg1HG9LbtP3b65PP3JsngLwoGf/rp/URRyKmTJ51FFuoJ1vbz5eR4gsJOsneFwfMnO05eY3q0ynBjrVAVWVI6KOW02DGAq/Ehm6oCai0l2ksSXQA819ymCCoDbSrgzlwnvhpn70AlhGHMn9wR8MzhOsgAKSWRrNiZYlyD5x/ogtWEjJ/ParuZ8UyeZJo0Dbju0j5veXmHP/xsDaMjBjIkkqJM+kyAbZLJRZXJq65EVdMqUNatCsYKlHEBu/FxTiYF0g/zz4NpUSSc3N8qx1nYsfgqzxIK2IDyslG5orsruZcqa+c3Y16JWZ5DQZzEnD59mjQLSFO3MYQGaNYjwiik2Qhp1hVay2I3hfwfynLA+8CkOqfbVPVQ1S4cW5ZEGWdUGFtsAHoO8CqLi4q+rQI8D4Yr4JayBHiR6MkBbt2cbC9FAlUBuNrI3Fo59g60m1q11jb85ZdbLLcjqAUT8uTCEgUhxq9p9RxN2nbVThwvUZJUMzul+Eev7vPJ+4as9CJipRlk0tuTomwpKxi0kmTxwLa2DKxMweblKD1lvQ5XAm0dsDNT7o4hpWN3KS2ZEKW7JSurbq7Jx4ai2iLDujHgrIwNgfLm8w4PiCIRVh3UaiuD9/MZKvHIOU+GkMz/m/rY0cPMzs5e/Mgjj/zwE91lppshFkGamWIr7CyzqNxWkrl/KyYCzerE0Ko8EZu8qizfOXtP+uE5Y1cALvITLaryRJQdLp61VRXYqtyLXufMXQX2JvJE62pSJ0Url7k8ekzw/PEahgghnXuiRVk6MO6gjHe7VGt4NuYNKpMIqps++QaSNNNgNVftjbl0x5CV5+rYLHQsnnnPv+LiFKCiWujlNWZeRktOk4Iy+AQry4GoeWxjJBi/SmRVKWYqK2sRYAoH8uJalu+jBPjGdX3j4CAxRqBFd1KxypW7S7iaGohTzZHji8xvu/KHr7/hJY8fOnT4mLbWMBqNtitp35DFHVqtkCQxfjcsN6A+k/k/lk8O9R/ajI9jm9TgF3qIC7J3OeKsytYl2MeH2hfPqmRwXfjg1cNvaa2q4C5BrlVlSJAq2Vv5r7VOUCrh019pcXC5DmEpT6ruiZhg78lxEZvJlOoWIXaDm1Ipo401lyzEvOnWPg892wATkGZOiweZH/KZjUulQqoUQjG3DSXlZgJVd0J4GSqw0q8qMj9Eob/z10VCLneO8mspRcUZy6VnVYNvPCmlOSEqxsX4BOKCrfOtUowoduJLUrf/6LmlZa6P0zfE8Wh7lmXHdJ5qDUNoNdygFTdvw7F4mlpk5vbTkcUwRH9h5PiM6HxLigvZg9Wquur86dJBEaWDUln2XFZwnLU3Y3BVBbefT1hu28EGYAfF3MKsElwaD/LUyROVUG/EfOWA4i++3GQwDKGh3ca2YlyaTAaY1ThjU4AXIK92mE8kfHzAmaSa6Zbmra8a8tn7+jx4IMQ2AwZZRChcJaUSPj9QCfaEqIK7BHl1yykXfHpHRzk2z6TT4znAS+Z235N+booQ7mdVO7e42dn8PFzonh9L9kzsomeLHST8hlZ+/58kdQCPU0scG/rDjDgxZJklTQ0ak2CyBCVSGpFlmObAE8VSJ4VBGBAZGCEwIt9mxO2tUp0Ue0FwQ+UOLl/n2b5yaRWF/10FeHFUvnYBpk/uyHxJzUGel81atB8XXB6mMlK5nF3o2NodSrkAMwxjkjjjs/c3ePZEA4IAIZUHVR5glluBCDnO4oVrVP3sVdbOz53Z6IXnR24XxrHm6j0pb3xpjyeO1RmlIZkMGBhFmFG+l2I1zAO7jSC3E+8Fld9sBqMEKo+rpMAqkJ5FpQd8TjJSWITfLa/43MYy7iRVNPhXtZUm3RPG4pNyCoGbV1gytyVJ3K4Wg5FhGKeM4phRnKA/f/vtCKEwaQetFSFUNgv2fUJCQubSsFkexNicySf2zSkkyiTKq2WxE0mQysnIT0xey5FvRTIJ9OrIX1Uwdg7wcnJqIVF0PifceCfFeECbCrA9e/vgUquEKIx5+rjg8/c16A9CaAZIkVcOVmtiNsliVpboKnc5JecBNzF5t2DwakOyL8CKk4BWK+aNt4345F1DnjgSgQ4ZGkmYa3E/x6+07Rwx4eWKi75EeX1UuQJrRSldpGPznEWL5FoF6HlGWXi5WtzgiEK+jF/nr5H4mnCW8olo4xMCyg2CHcBLcMeJQSvF0089wbnTR0mSFG2TZa+fU7QSIEylLrdcMopLJCAT7g0IH2iU3WiV+m+7+ScpWHrsQ4sxWVK6KKKyJYmosEZZf5KXFOTDI7X/OmduVcwHz0cG5yA3xYDO8nDZSq1cUicIElKb8al769z9dB1qGqRraA7zNHkV1Ewc1S82I6zNssFFc3nuqMgxoI+GAa+8rs+bXtbnmeM10jTACsVAaIKsfD/CgMxKq3D8bYwzeTVDrVR1zJrxO1QLpBGF9s6BLr11LE3VRWHMyaFyvctVbKMnXnVQnMszXs5Q7OKWj1TOcJvKpk6KJP7IDCwurdPu9DHGondvTRFCkKQJ3V7GYKQKYz1T48tFlZSNdcGwFf659AU3ypQN0kSMaTQhy8q7UpqUTF4F9lihlaICdFth8glJUoC7orsrgWXunDjHxD0rlRAGCY8fk3z0jhYQggwQQhGIvMnCln7wGGPlN3AeUokKd4vx5ZgKcxd2mHRSIRMY5Uc/FPvEa6zVvPM1A75w/5CHD7tJAolR9DPhC778+SG363JPuupejDN5Fej5zafyhJ7ycZnNGVyUTopl/PObaiVl6YePA1xcAOAbmbzwvO341oSpybd4z7dRdF0+/aFhmGTowAXSeve2daSE4ciwKCTWRiRpOfsuy/VWwdIemBUHQPhlLT8xmz3GnZOqfTW5L0yFucekyXjEXi2ZzSVJvm2J256jBHe+u2/O2oEaf9a5/la5/k4JgpQkS7nzwTpPHapDEIDUlcaG8Qsr/Y26wQev3uWVi2krL4oGiGpmsVpdmLkeVVdKqxnFAddeOuSVL3YsPsgci49EyNCAznI/XCC8JBHCQjZxk+VVfdZi1QS4JVhlCy0upfGv3VgIa0XB4gVz5/FHBfRj7F1h8AsG3oVdOFHBaivsXWxJaIqtCdPUbRiw1oOBjymwoL/8ZI9RIrhoIePSbQHdQVh2ZYxpYxdwjF0l485VqcE39wgnd0Kret+C0gbMveNxa7CSzazsWJbvcpBLkrKbpwS3GgsoK1JEl+OVtcpQugJwL1FCnXDwrOADn20xSgJoBF6eULSmqbHMYcUxGAs2YFOJYseBPub/jmXuNtPimmYk+e439vnU3U0OnHY3X2YU/Uy5KsPMZxs9uEXmrTuqQaf741UPGuWYu3hPPsBUPvdRrKjWHz6YlVZ4qbK5kzKe/LpwwDkWyxVWYanDx2Rdxb0z1pJmlsWu4Ppr+1yxzzAYgn7tK//NtmcOPPWTS2c/z+U7LWlaJhyq7FukfvO71bqvrcnv6OpaM0la4quDu/q9nLWrwJ6oAZfSVuSJLR0U5SrsShfFeBY3Ew5Kztr+tZzQ3yoltikfv6PJ4wfrrt1HaJSQhCKfujreXFxlcyoX9Ks+xjT4xFaKVmKNccC2k8kfTTwMuOnyAd/6mh6/9kchAxOA0aRCMjTOwpQmB3eVTasXqrrqWlSuy/17kv63pF9dCklic0CXgDfWVuSlA2O1rn9DdeVmIdoEjqoZzfHDFpZ0TqB5LZIxloaCF1/92p/cufP6d+tjp/fPZGblG7NMcOBYi3ZPMUqc15hnksbvQlF8cIu7wzcFd/XuYPzuLcFeBpTVO7/awbMB5Bt2Ucv1dyVlPqa/TQlsn7nM2Tq3AnNZor1zEuiY589IPvKlBkgN0rF30blfjQOq75EJ1qqct+KLSjJsLMAz1WQPRaZOVzKbxvr0vfJaPNN8+2v7fOLOBvtPheDHqo1MgBaujLY4tz53LbKKgzLReOAsy9LVUV6+KJs/gxUVKSXyYNPvVOzPg83jKus+splkcjYCfSw82ZDVnMy3lDdEDu4okNCEa/ZY4v6Q5ZXz36iDp2b0Q/v7nDs/4sBzmluuCJibdqN4c82T92BSvVgVT1XgPrT7cqPjUg0oyrkdTOjujUmCvLexTNGXrWpyEtwTwK5uQKUqrB340cPu+6VEccAuQZ6plL+6t8n+g6X2lkI677tg7/F2uskMZgnyIqyqEnfl9UQD8qQnnrez+X2QMpmzuJMqV1824s0v63H4IxFxJkFol+HEDdApfHEEEktSuX4iD6YqRU5YSz5N0LF3NeD0N3Uee0kfhAqX+RQ56D3Tb8hQV1fxSRYX4ydmM5CPgdufWSlB40p6o1Cxb5fg2ku6XHN1j0arjb54S52GrdM7H5JlwukWXfnHK+6JwAUvece8EO5OF5vUQRYMPfmBKoHHJDhkBdAla9ux4HJsm8ALAVxWkjuy1N556r3Y4qQyV1wpN6k2CBKOnFX81senGMrAM/h4cDk+92R8Q6yvma5j47nNWbN8LdgsdZ/5+evGKDKjSbOAKEv552/r8ed3Njh8RoNKsEYTy4CBEagsv+Gs3zGtQn+5/lbj7o6q+PPK609XjOXBbG3B3FbmaX2/Wkj3u6Z6XSWbrN4XeJ4kgg2a3BbvXohyl2ZwDS1SCk6fn6Uxs8DUzDx6+7wmsAHLW0KUcoU4mSn/wnjhlHtIQQnyyo1X3IlMvvmyFHZSj41ZTBNBpcgzhRcCd7WlKge2qrgmcqPXrdSEazLmfcd0YsPvfXKK04sRKO2tQVkMGJosqhqTJpsEU0J8dayXUkUUQB93UXLd6SVKtRlCKrJUs2vLiB94S5ef/0BIO3FTj6yRjFDONsxEAfJqsIkor17O2H7ggwN3gQEHbqwrzyhWG+nMihzc1jO3zW98Dz5rKzFcca5E8ecrb2O8nHbCtqy6eFaAzFeainIYxXCqK6jPCmZTgW7WLaMGNOvlCbVm4gJMBo62JKrqnVeJKce8bsQm4IZxSTImR9wJGtsMSZbOiaoc0k+wqgK8Cm7lv1a6GlD6XRI8aytfMRhECR/+VMR7/2yKkQmcPBGqkCd5U3G19mQyA1tePDFx0jZn8eLiUV2Gq/2HsmKJTaTwjdsKvKZTfvDtPZ4/HvL+vwpAxoAi8wGnEhaZlUGmqHrjm2mDSj7DSgf0/P1IvCaXFuFvyFx356AvSCsHe9HdU5k0UNmeMMfLxD236bkqzqgoRXJxdi3EiatH6Q8zomGGznW2FON6e/IfnAS5oHwjk7ZPFdQbAL0Jg4+zd1Xb2guwd9ldUgW29INqCnBLW7olMit0t6oGmSpFSTdrcHUN/vxLDdZGObgdwAOJd0/G0/LF+69YYpJN3MEKvqtAngR5dXPcssioLKUtgk2vxZVRGOM093SY8bbX9fnEvQ1WugpkAkaRoBkJMV6nUgHJZgLYsbmo2IWu5hz/fSu9RMnZXAgXfIIDvb9utgJ0RJ7hrMZk1VXOuRmiEstdcOUrfm8Co5Tv15XtCrSSbohNkppia4niI18oaVPRIWNgnvienAD3JMDHgF1sMDUO7gJQKved7bjuntDe+Qaw7nXmd0QorUFVOcrAMiFopHzqyzUefKqOqWhvJWWlsMpOyJPKJqlVwFSOMQxtdqVyHVxJ+JR7Sl6gytBKVMUXT7MAbVJecl3MN7+ozwc/HYKKQUisEAyNduUN/gakYNONS3MZcm20EaGyyshKckragsGF8Lrc28hVoNvi2vu/b6tMLirYsRWGLs9dzta2irOJT4B0zS5CZECKPnrGsLZqWG0bGo3ygm2K7cmlBDbIkCqYL8Tcm9UsVIvmpXKvyx7HUnPLCWDLakfNBLjd61J7F1sM5vJEuiMKEg6fkHzgUy3OdUO337V0g96VwHXNCBdgj9WebDjEGOC/Og1NJHqq4Jkck2BKmWIrnrjypbRKuu1PtjUzvuebe9z7VMTh8xJEAigMkqGQKKqZVjsRQV2AyW0+Etm7KLK0DW2lhdE5KR6YFv9aeNBvUi+fxwS5FvfJomJvBCtKwrAl8Cv0WlmByocWUJuR7NkumV8QaC1DhNBkJu+cvsCuZ5VlYQzcmwGbkpk3sHelQXWSwfOTUDS3inFZku9DvzmLbwJuVdXbFXDLDC1Tt2NcmDDKDL/zJ1Pc/WjdWUjSjYqWUvqunWpjrx2XUpOfu3LiqzJ88lpszGBSBnlFP2ylfLaS1TTWVECuyDJDKjUq1bzy5ph3v7PDT/9OyCiVrhHVSFIRMBBlttEF/hMR3iTIc58QKIbw4GxhlQejosLiuJu8kCsV1s4DzeoW5HlaPycH44PQnP1z1qaitydJdRKnSoESrgsqjkN0mvnh9PnvF5+t6qZv1DybSY5J9pZfDdjFXV3R3NXBORXNXWz2qsY1uAsyy52NNwN3YQcWFmEluJQpQZhyx8MBn7i7wSgOoK6d9paqYO9iG73JJFSVuSmBUwV0tXJykr6r6Rbr03hjZbMmlwKeyTNJJg0qkxhZ7odkKjup1Rspb3vlgNvvHvCFhxWoxJ18I0mEZkTpqLhx+fmF/SpMbvNg05Of9AjxnT85oHNgOqfFrXhW5M9fBeiT56sij1xrxkT1aZVEKmRRvFfhS6i1Rbu52JJ65AbAZ754xZoq4kvBIyr30uSSM6a5q04DFHqsGlgW+9j4JTN3T2ThllCCuypLBH5Ae87k+RTUjeBWKkN69s7BrT24wyBhvWf51L11DpytOWkiXEmsKBI7lBOkqjXWm93EoswcfhXhPY5zR4OF11ytDc8bIoqudyqVhpUyWikUMjNIqUlGmiu3J3zzy3s8uD+kHUt3MfB6HOWyf5VrCblzMg7yvBmjkChFOr8EvcWXang2F6K0GXMHxQpfa1Rgx+HLNbf4HZW95WJFWQFZAd34mfTnV5Y/9hvrQpq6oGU0gjgR6IVZSSgkvQVBnEFvUO5XKPzdViwQlbtoPBLeqEurOrsqRcSEHMn1tZiQJO4GMBUHxW6qwfPJp2MsXoz5NYUsqfZYKuk65Q0Z/+PTdd778Sms0M739s6JY28nT8ZKBvyNWYBcViWJqLBQ5WJcgL2r3eSlBhdjQC+q6Xx9kC2sQg/yTGGkKeRKkgVIZfjBt/Y5dCbgvZ/QJKmvMTASg2AkJPnWsYUWFxZhJkBuRSlRKm8+1+UFkCt9nFJaP5kiDxptcQNIL19KW9UWNeXkdTMITJ6U8hp9PNGyuXLAQGos/WFGp5ewfTXDaoOem+pRVx2yfpuzyzOstSVxmlWWEn9x8w9cuWs21eJjS7idAHaVtcc1d/7zYjxYJbiUypYOSiW4VB7AeTp+TItXtLeuZit9YBmECYfOST5xZ5NeL4C68uytS/YeGwcxPl5ubLWq3PTVb3ytJE/BhJselSymrNao+LnYeTWfEUgjkdJpcSncTMNWM+Otr+rz2XvqHDrr7Sgck6RGMES4wNlQWnT+yhZRmMyvdOmuKM/UDupeH1fZPL8vvLgWPjC1FftQ5nrbn0xhrP9vPJP71YMiSC3ZvIq1otlZgPbWytJaxsnFATvWhqhoiL7nWU17HVbPd2gozfnVGmHggk3t16bcuxxbwKqgZRMQV5ivTMuX5aWq+Nk44AumFuNBZZW5pTSl7119XQ0qPajdBkrl96TMUDphlBhuf6DJlx6rQ6R8YOk22VKyZO/cP85dlGrf5Vg9TQXbfz1xsimxjx2MOSmV1L0VxVbghRY3kkwopHFHMlK87gUxr3vJgJOfCRgZCcJP8UGQCs3AlLq3fAf517byngR6LPDMb05nCUrf2VgsTdLLltwmNKIAfC5lpO+8p+gGsj7l75JJRUwCRQ16dVHMyzfyylGlYG4KLBm7tq/zDS8bsn1rht6+cPl6U2afHa7OfstjBzOSYcrWWbfjb34bu0yVGPsDVeYSVRD7dPYGT/tCgK4kc/KRYDnAc6bONbdUpfxQfnZ1vielGrMCS//bAT31gaWfLxim3P1wyC/8wTSZ1aADXzGoEXKiqKqwBm2xKsnqZ5+IPTYkuL4K0scymZWI0wHZTiR+vEyRHthCuM2lTKnHjXDeuDSaNHX7C/3493Y4cEpz10MSE5Ysbo0gRiF9MIhlTKJUtm8trrryNbQlk3tud3nzgr2tdQBGuqx4Dm6ka1B2QLe+tNjpcBBgKiUE0tuG+XnyRWDFjz2eAmUJQ0s9smybi5mbH/D00W0g93x2357L1vUC7z2/b7f42VE//ZZPPyypW5iOjR+g40BmiwCk0m0/ob2r4K52mFflR5ml3MjaBYhFydiTultWwK28xz3+OiuYPNfbUlYZ3cmTk8uS3/2LFsdOR9DImdvt4qaKwJKv4XlPsPaYBh9/TDopY/p7DOT5nke2CDA3K76yfliP21RKIo1/lhJjldsq0CjSRLNvZ8wPfkuPI0dDjq/JsaDBIhghy0x07liMid4KyEUpV/wC479fqWMRJfDzGnJHudaDPQe6Z2X/Om8DcgVclXKFvD7dz3KZlCrSbzhWCw2tekqj1WHpGcl//P1Hf7YRPXhe/+xHJEEAi6sBK6uSy7eMj0Yu19uJPsqckSvWWbUwqjpKodgBYMwZmQR4qb2VmAC4yktUK2xd8b/zLe/UZIXghO5WKiWLMj7wyWn+4stNbK3U3VX2LsaxVWKJzRobyiRF6ddWM5hjS94FRYsoivfL6sKSycc77suA000Yq1YcVqWKRGaKTGjkIONtrx7w7JGAX3yfJh6Lil2/58gI5AahsgnIvdxQ+W+IEujFf1MJPAr7UORtb/nNUM5RzIxASevG9ec1I9ZLF9zAoaLnl43DparKIU4FexYkP/DNK3RHbVeqsbg84/6gSdg5PaQWWpSUY8trFdTF3I8JP7icPDqehRQbWNqOfb8AcxXglTnUeUKnuj/MGHPnMsQDXeaa2wM9r/XW3vv+wsMRf/CZJsPMT8GXZWJHeWlSsHd1qE8eNP91GX1TXI+DvEyL56VPdoNsqQK60OKykgCSHtzCs3gmMUKRCYMwBmk0UWD43m/qcf8TIV94THq5mduHkKEZFu+8mlKpgLxSTVgEnpMAz4NN6RqFC22ee+OetaUPanOgkz/nBVF4lrcU9ejGSyg5EQvmnfdZJhmOFIurLbZtMSy0pNu54sqt7qIlqSVLLI3I7YCglJ8BKPI+yUqnuyg3WsrBKzYB9xhDb8rY4z53wdpjAWe+77vZYAtuelRcE6lSpMyQMkXphP4Ifvb3pzlyOsLm4PbyRAjh9+AspVZ1E6yNnfMbge2yYbLCCpOgnsiWVdlos6xmxQuvypPJjauMsCXQ86BT5lJFI2PDJTsT/v33tbn/RyO6Q//GfcDpnBXFCIrkzwY+9+BTlRtSiZLJ8wSQmwqbW4OlZJH5+fHgtxJktcqv+uzbhcoCLIEwbkUYnwLmvW/jPO/eUJOZGoM4QGk3IVlfeckCWiva7S6LiyO/zUdloKU/qs5BGRRWM44T4JZ2A2tPau7c5y4CywnmlmOypPK6AHNlc9IKuGWe0PG6W+uENIPf+FiLx56rOc9bKHfIUnuHwhb6eyyovJAWn1zdchknyj6eDZp8syIfW7J5ntDJm2kt+fD30hcfmyVYkSjW++FCSISRSOFb3IRGGsNNVyW859va/OqfzBBnOYsL34bj9psckvv4m5TTSoE1lQ+Qa/LCRaGS9MGzvM92mvwG8ImcnAvyNiE2YXDf6yb8+Gcpxwf15219aQojAdZKhiMNep5G0CIzGfq7v/Mf0Wo2eeLJp/nzj38K4YFd7pRQPSZ3NxvXqZPgVsJ52FUdPulzb3BPxtjcUNqDm4M7DyRlYQOWGlzmEqWW8cUHarz/Yy3agwDCXHsHIDRCCK+9xwPl8SBzooaCarAtSvekcvE3Vd2iZOtJvNsCIeUoPGNxTb9emtjcIpSVWnFZdvy4VLnEettQCOukSqqYqhm+/+19Hnkm4vavKGikDtz+NrRSkBQdDaKyD+Q4yDHuxlN+hbIe5MqM63L367ZC4R7LPnlk/Y3l/r1q84KXSbK0EYV1GXYh3OApaQQyc2NNUlE2VgyGlsuvvYVLLruG4aCHVipA6RCLIskskYbJYfJjA3ZyEKsS0PkelZMAzh2UMjNpxw51AYAXkkRW9XdFmuTglvn+6SVzy3xfdV8xKHXKc8c0v/XRFoeWAzcCS4w7J1qU3TrjKfmyfnoswISxgLsaX44BvSrGJ5TJ2HM1sKx8XZUp1Y3Acnni2NEDXojiJsg8e0tZ1qlkQiMTy6VzKf/8HV2OndMcPC2w2jO5f+PWBCT4IajyAiDPQVgwd87IJZvn+tsKr8tNmQQqkkHSSZFCrnjmxoixv5mfvszvViEQDuTCjW9zwSpIKVzvbQBB6AYl6fW+231oaT1jcS1lz/bAteDrfFvnCshVBdAT4FZjQB3X3Ru3vrDjLL8ZcwtD1RqUE+B2AWUZYJaJnrSwBMMo4Vxb8LO/P80n7mg43a3GA0vpmTucWJHGuuUvFFRKNkjtC3klm9cfl6De7OvNMptybDBlGWhK//OcxTMhEZljcGOsCzozQyANb3v1gPZQ8GO/qji/LiFK3B817sNaqxnlY0O8i1G00RfALuWJNe58Fd55rsnze8cHmmP2UjUApWRyL7or4PZ/szjRbntEkcnCxXLXSKC188K3zydMNw01lSFrgaJVj841Ivn5i3cvILDlvpKqnLmdT47SanzIZRXcBfAnGoGl2piNrNp81b3QZSX9LlXFKVHj4C697aotmHpp4nR3jOGv7qvzxYfqlVqTvKDK2YJ5t46akCQXArZjb7GBsfPvT1qE49WoYhNNMgFmv75bH52NMbmpbDdSmetdltTKSkd+XmnomiKM7/7JUo2wkte/eMibX9onFKkb8mdTMOVhrSU2MDQwMoLECFILqRFusqtxr4txajafOJXvvACpZeLntvw6G59Slf83ru69/F5mbGWqlSvpTjNDavIRyW7YaJpBkhjQWxkl4eeFrJ/LbID67d/6dW677aXrtUiuK5F95+rqMvUoIAzyXYEp97lRdvy1LAPIErBUylirDcJ59nGy7WyytmQ8W1l1SMrfKeu7lSpliZZlG1omM/7y7jr/6b3THD0b+eE9vlNH+VEQ0m2qGsmyLFZLN9ReFe9/csWqboDlmKO6paGTYj5AF5Uh/ZWf5fmDosisKDYrywHK741ng0U1cVYNdqXdNFag8jX+5xiYm8q4+rKEk4uKgyc0xk4uR04CZf52dSKmOnOxOhBjfPkq+lEnVq1xU0lUS5sY/wcq358Y/rrxUWrELM2Y23IxKpj5N8eOHn3gmutf5vboSdPER6gZUaCIQueklGAelyJVII85JKqapKGis8elSbUMtnROSkmS6+2c0aUyKFHahTJ3T8Yylc4SzGu8Ty1L3v/xJgcOR9AsWTuXJkIIND4lX01UiRIsm7omFU0+6aBskChf49pUpcgYm7OJJs8LmcaSP465pXCMn1mBsBKZ93QagZDSp/2ds+ICT0M6Mlx1Scr3vrXLQ0+FHFuqBA5FFzFYFLFPBJWY81rbOlcl97hVRZ6owj2paPXcRvS6XHqXpPiMvmmCvDIR6wPZzeISwJriPODf4SjJiJOEJEkBvwnV1VdfRa1WQ2BYXjxFFLo9JYtCFknJzBVWm9xabhy4Fwgei8DSlOn5who0flRExfuWObhzu3BCmlQKq5RM0CphtSv4tQ9NcedjfuSxyAPLvKjK1dfknfLjRVUV8FI6PUKMg7ogjkog6XzbEgpfi3sKcFeBzXj2kooOd9v6+USPDzxlxSaU0hZ1KkI4f1wa42pUhGtXEMJihCEVFvqGV9804ke+q8N/ft8MawOx8V1LgUExtFSsQFG+41yDFXotD0TzYNJrdZGDmEK3W1EmhcZsd2nLG8prdOULsIryXL/NobbGxx6WQEu2btvN5VdczXDodjuWADu2b+faa666PUvWfmHLfI16aIgiSxT6/ST9dnv5HpPVHRPKOYDVGSV+ymuRnJk8ykxkobvHtHilvnvsGAe3u0kq+lulDKXldz7e5Pc/1qKb6AnXJAe3IBK+11KOA3usEnJTHV7q7Mkuk8oa/X+zmlCMgXkc7OVRMLqhrCYsGG18ElY1hZ/PGM9nq2RGO22eaVoa3v32Lj/4tg71XIPbCU1uM4yBkfV63AoSr8MTr8szu4kuL7S3GNPpxZxvr8tNRZsX+j7fH8prbzfw3g3YdOOS3TzwUWIYxRmDYUqSaU6cXPqFPXuvuH1hYVsJ8N27d/InH/ylvjSrR2enJLXIUgshDFylVqjL/W10PgNwYorr2CCeHLyqGkiO15eMp9zHbcHCLREle5fBpAd3hbmlSJEyhcDw7OGQP769QacKbllJ6lAWVAUXYO+vldApte94Y0O1tKHaunYhLh+TKPnXFeaetA3LvUkrcqXo13TDgcanYblJWPnNkG9NmM9UMUa72nFl+Y7X97n68hEyy8BkG4FuM7IC5BBbF3hmPpjMQZ7lgagtg00HZlEmaHwG0vg/5X5ui1GBpgL2SXCnmevacTs7VLcuyRglcOzk0tF/91P/pb+wZUcJcICXvPQbedkrv4U9ey9Dq5QoMESB38Pdb71XzNuuTGsdK3rKwb6hs6YsiipZuazhVhXNPWYFKlPUlUgPbjkB7py9dWh45nDAe35hlqcORtigIkty/S2kK7EUpfbOPe/xktjx2pNSnmwsOBvrKqkEc6Vn/NX0yaQ8qYK+sk1jBeRFxWFlxPL4FoR5hlOWqXwrXfWhUZUJWd5ZsYosVlx/WcJv/tg61146dLaE9SA3yaYgjysgr7oq6Zh7Ms7mqQf6RobPWb3C2v4GSCvfT1MH7tQPvI9TS5y4wfeDYcIVV1zOd77r2/i2b/1HxXnV+Yvm1CxhVCeKagTKEIXjO9YWrytAKAqmvIYu287KFPxm3rcUJaOr/PfFJsFltQQ2B3kF8FI65tZBRtfCb3+iyePPRmTKs3bO3F6a5PUmoSgTOtXEzqY1J3DBQLOUJ5vYg+TTrb66WBkbjZcHk5aiKDVnamP9jO6J+pS8GEsI4XfdkD7jJ3zKHler4sxsjJAIoVxG0Fh/fS0qs9x09Yj/7a09fvxXA7qpcOjIM51SFD55ZiTDPP0u8kZk587kNSu5B279ZK0iyWO9yySq1YbjCSCDT+f7c15MspVuZkyZwrdFPVSaWmq1Glu3ztPr9TcCXKkAraNDjWbt8Nxs/VJrBgghxwrKYDxtXTCerxsRk4CuBpQbvj/xvaoXXoA9K79XgNsXTxWtZyn9DN7/iRYf/WKTkcwlScU5EdV6k/HNW8thPhXnhPLkFR4348DfGGBWAP+1cb2BySfnYpdSRRQ/NIhKdV3+unQejPU9jsInhHy2M29xw9eQkwNbOH0uUJBZQpHwjtf22X9c8/6Pt+glQEA5DapwQzTGSFf/kVcJ+req81azPAUvHOjVWFWhOz/W17bY4t+h3BLH/65rbyvLVER1dcxPmTG0mg1q9cbhKIoOxXFS/KyQKAtbdnL+xN2f3zJX+/CuHVM0ophamBGGfh93Ve5zk8/bzuVILkHKTvZqwDnpbVe0dyFdSiBXqwI3B3elHU1ndGP4/U82+S/vm2ZxJfTp1irIXfpVilKa6InAsmyfG0/LbxgNMWb5TuzxWTD23/xRSBQ7ztzjEoWxhuQyyVNmOwt5skmtuDGuTqVoWDYKY7UbAZdqts9bfvL7Ovyzt/ZoRanTDjYtJUshV9wktJGBoYXYuMCzKlny5FBWkTCmqsuzcRmT/3eFds8qyR1ji60D08ypqCR1wzbbvYz61AI6bH74E5+6+/N7Ltq1kcEBapFE6dqnm43sLdnIvmCUpKSp8ltHVEx4UcqXcmhPyc5iA1v7ZzEuU0RVkhRSpVIlKPKAsgrusgRWRoa/+FKDn/v9Kc6taVfrKiZsQaFAuGxsaQvazTV3laUlEzp7fEuXcWBXgb8xk1l1WybBugHhVH5nA7An2ZuxUlppfPWesc4qtMLXUHsbUViMT+WLnMWNIvNlvkJoktiyYzblJ7+/zUpH8uFPtaCWuk9VMLj1z8r75DlV5r54hZl9Qkd5jzvvz8x7Kq3vwC/mjfsZKrZix5fDgcoTlp+LOLUkJmCYqMfDWv3TcTocO6Wy+sWuS99Ef/HP7p2qrzw83UwJdYr2bkjpgJTsq6Utg8ZKVlJVnrWqsnIJVFn9fkWeqLw6sKjpzjaAW8kEXcs4dFrzwU81ObsYVpoXNi+mCivA3pCWl3ZcgsiJysGcwSsAnpQiG4BNRcJMvB7DdIWtx4A99juitAwRXo6UQed4Gn+cxcdS+RvS+GUxljv8AKFYsWMh47u+qcelF41cRGkrFqLJwCZF4Gl90Dk0MPKBZ1JxUhzzVl57yZRWWDv1jG2yzRk9qzB7fqQZDBPop5oTy6OHf/X9X7z3n77rDWPnV0+e8C3btyCEII6H0DVFTZcoQJALe1tW2xWBIwVTi6rWcXrdUAAAMKFJREFU9syda3QljX9dYW7P2NV6lMI5EbkVmDsmGYdPB/yfvzXDHY/UoTYZUObSRI1Jk6AIiMf97vHU97gW9226E+nvyny8Krpzn/xv+qiWGW4YAuTroaxnNONGL8gxRhdFgGk9m+cBqPD6Wxh/DY30iSnH5gjlWD3/3tDy2ptH/Mw/X+enfmuGI2fDUo/Ljc8WSYKfxiVcq1m+kugJ9lY+4ZOXJqg8yMyZ2w/Ql57RjahKxbFsPwBhLWTfvq0YY7lr4pRuALic+k6kVHE/+Rj9wSH37it1DuW8E7tBmox9P3+dg3gM5Pn3TPE7agPAy0SOlGWFoA4yji0G/IffnuajtzeIpU+5btLEIITbT6f0uydckxzoFfbebJ915ObMLSbYuww0BX9dnI+lnhkHc5min5h2lUsTqpWFOEli/d44Pm0vrC06YoSQY+B2Lot3WIwlQ7m7x7gdByOd8s7XD8is4Kd+Y4bjS95ZyW/EMZBrLJLUlxQYLz20L5U1wrk5Svi2NeuuhZHuZ5OTe4XwW6XIcqRETja5qaMENELL9dft5D0/8I/iNE354C9/DYBbeRG1VvSjNrrymn6y/GolOoSBmzqkCoCyAbjV5yp7O+AYxh0WU/l5KU+EGGdvB+6yeVjrjOOLih//79N87AtNYqnLoLJIw2svoEvXJJTlbO/JisFJ9q6CeyyhM6GlhYf2WO33hE75G5gp5euqq1JxVJxrku9v7zd4qoKfSjKo0ORuv3nH5h7k1lmIefpeYN0cwCKlr0hTi8byHW/ooxX8xK/PcHwppNDjG0CuwCoyIZzDIvy4Od/nakQ5pFPi/HyVeWdFCCbdLCoaPW95s6IsUlPCsn1Li9tuvvTLV1++50eHFXuwIOzJb7Smajx4/x2dNGseiNMws8b949WOHCWN198bNbfaoK2rM0oq3TaqHPGwKbirOlymSJVxZlXyk785zce+0CBWVVlSlSfu9VhCp8LeRYBTYe8CyHJCjjCxNAq3rFaZfLxF7f8GoCeCzM30d9Ujz7cZLAuuJo9yA6uynDbX25MTaiuvrd8SxSo/ckKNJ4Eyhc4E7/iGAf/pPW12zCWQpePZzsnn3GGxTpfnDktqKfR5meoXE2W31YzopA6v9GP6DWinm2G2Za554HOf/2Kn3mpuOM36QuffpN33bN8SvDgZmpvKTGOl+XdT58RUtHn19bg0ERWJkmtvUbgmhv9/e18eZ0dV5/s9p5a7dN/e053O3unQCSELIQQIOwhBlhmZEUR9OjP69DniOC6jzjA+R/TjU9Fxmeegwyjq6Lz3PggyDCgD5ikIgYAIiIQEspIgCUl6SS+371JV57w/zl63uglrg/PO59O5devWvbm36nu+9T2/lVgpZ5TEoB5DEgDfua0ZN/2sKQVum72NNAls5rZKWDTEfOtAKleqmAoC7uIyS5rYjK0YXjtAjgbrDqptps7Q4WltrjSvlCZCZ6vud8I2LqQKA1HRh6CmtZ+aPoSDQOlyGcmk2gUD8JHg8g2T2P60j2u+V0IMIhv0wNXkzhwWcSsJEWllIcS1ENdE2beFxk6IcAh5XGpz6pKRiFA05znmAOcUCQqPDx+ZuLKzvZR5bmnWzpPWn4OO0mgye84cngsjBL6xpDiFLa0gKN+yVft28XldsyRxFo5aYzv7GIy1JAYlsYgwDDg23l/ADRuLqNHpmFugNV28R2fIgzfIEc3gNMXWmILFgQYtblz0xAX/NLSejkPR0XfWayYZmej3pIvki4qzbpaPcucrKwq3GFu78e0ycNwEYtnlmBnzwLkvmJxRhAnHFedP4g3rKyCKxbVLP/UnmRyyKledAxWZPFFj0tUvbeW2DV2zeyIsLzrGRbn1OUHCCOqxmBT9/X18/2A12bDhDZkAn5LBOxdchCSuY8uOvZiVe07GnQhHjh1bYhaYLKW9XfYmhDlMrp6rhSRJWVI8koD6CagP/OS+Aj7xjVZs25NL1RG0PZUC4LY0cReWboxJOqgqU5pYNu60s8e45xsryho8k2nB3cjiROsSLVeY2e0wO3hK1tggFyzOqLRIyMRdDhlKywHCqFV7m1jPqdTjcoIyLnlQFE5esTjCVz88io9T4Pb7imIl6MlfpFLTKLfMPSLAjUOaDSV7qzBlHyomiFgGALMtGmCJxaomDplccuqapvIfXbzuhkK+gL/6QDaOPUwx/vpvPw8GP6qWx86ul/fkw5DJMFm7NR83YayW9qYyEpCm09EsJ046XFYAW+pyEgtwB8Ctmwq46toWbH06L5vE26GvVm0TKuIrQgrkqCz/QOVJlOZBvdC0/4jM3iEmY8eUxrCq60q5oieGzNAhOkPHlLWjelvVk4HetvMI05k5mSly+v2W8wmmW5q523DrTmL22bLKiaFB6li1X09o7kxUfbPiHN2dCVYvjfHMQYrtezxXv+nYcHs2u1OacYJEzocEROpuNx1PrSsgrTIis0d8WY8AgZfg4vNOeK5SHn7n2rXrI0wxpmbwVh9jwzv/z/KBvk/vejzXSjBmWvRZ5dJ04JRkac3alJsVegOLM8uywkCIbRIUTiDiC3D/7bUteGK3BLfD1rZUEXY8EUjFrSSGdNuRbPZ2Fo2KvW3wpAFBSANgYH2G3sbRjXQ5Ms3mVi0UYutxoryXXFtQhIVEMj4A7plgLM65zrxXepxxwdogXJsXIS0rShRpfQ4OpkrfEw7UgRWLInz+A2PgHPjppqJFl9Rib/mnDXyeMIDLu4lidHXOPSLuEz4VwAyoCKP1ubC+qBPLOUNLqRndvSvQ0d467bn1p3sxLPbWkvjIn8/q6blxbGi4iXpEdyvThS21BcQFOHQUog101gB0QowOpxLoxAduv7+Aq77Rgq1P5yS4Gy0ljiueiBMSUFO4x5Ym2oJiRwzCWIcyGRT2ftLAgGrDBXN28fupwK7qSToBVsR9DfZrFmhh6W4NdHne1T4ie3oQDoBRcc45kQXnIYpggjrd9ZREgXL62IsDVQG2DqxcFOGaD46BceA/7i9IpGbFH8g0HsKkZCEG6FxJJ8HmhIg54QMIOEFACEKuStqJu0PEgN5588uc0D8/pq+n9qIBzqMh1ty6+CHCN4wdGdzd5JMqAi9B4MtyxMp+TY2+1p4wojRTisVhTwQL4CQB8Ri4R3DHA3l8/B9asO3pnCjSQ10Hjms1IRm6201kyErGpZkgToE5fctH+r1WJqaD4DScp+fyLEg4mT2arbO8m1Y3CKW1lXVFVZZygrRM/RTGIDQ30e5HbSOHtL4w1sjketSB5YsifPlDY+CcYOPmPBJAGrHT4JYmF666YJlaLOpRxK2I5wkRC06PAqE0HXKJp5aijz+7/Kyx45Ytemj/oVGGaca0AA/yvfB8fzBOdl7W3nP83bXRu4MgAAI/1sUsKTELSr3c0eBW114xOs9gcMnalIN7BL/4dQ4f/WoLntoXppjbxHWD+OIEEVFSzs7O0WZBe1FJ4T7X+/m0UiUNcu2KT9F4pmXlaEaKrRWYwa0cRq7VirGyOMytjrUWmUzE5isWh83kTKwX4EgVAtVbh1leTqaL/igpw61CQHLUOJYviPC1j4ziL2Lg7l9LkCu21jJF/hARUWVOFLdOphN/LOqdM04RM4qICt1ej2L84XlroiSOL+vubBnsaC1Oe4qnBbgfBKhO7EBLR9+zuWBs9xjbvJTyI8iFDEEQwaOxZmNAxEEY54V7lQ27u/KEEFFiglGCjb/K4cNfacX2vVng9gy4tb2bOIFUjjRx9HZWfcFGcGext7aQOM/dSZAGtLPraMFuAd4AmRgp4gBeBmYhnQAhWdxLgV1NACYNHUTZzIkEPZWkKm3lSotTweL6cyCwLtyiFrPXYwwsiPCPHxvFh74K/PzBPBIVnql0FLUN5grYDatR6AJEmh09cOKj7geoxwRzOlqxevWy3cuXLnr2N1v3Ys1xi6Y9pRTPMwjxUB25Yy947b3N7cehuTiOICijFk9iMq6iHNcwXq9hMq4hn6shl6uLLgpeZGpze7HOvvGk1lYLTRpyMJ/g5w/lBbifCcFDdUtLA9wGOnETGJQkgZVuRhtZ3AA5Q3IcxX6jud1Cm8pq4mjzafDteC2ta2tfb8f3o2NQiOO+Nx3YUvbxtL2cGcsEsyIPG23kVtVanoo6lNucU3DumVQ47oHXCAbmR/j6R0dxzklV0IQJscyVrVxuO/mekUyJq4vHqA7Ua2gLJ9GZK6MzN4HOcAyduVEU2DgwXsFZJw5gtJ6891s3P7DX86Y0AurhP98BuabFiONxeF7zgYkhfu8z+zedsfHBCWzd3Sxv11xkVOQYLjm7ipUDETqbGVgkTlTjhFFMDtAQ2DfsY/OjIa6+roTte0Pw0NLZMqbEPJf7JFgd3U0bbd5OzLcDWhUFOb32NsB1txWAzW/KAvLR63BHc6dlSfq57EpGGryaRJqhuba6KGMGEyX9RDaPWpAyWQSNigkjvJ9CG4tjmbSNQzM5U6yua52Igg5QpBExLFsY4X9+dBSfvq6EB3+Tw74hX0QhaolCzI9WG0xYZjpKMVYureOSsypozjPwRF0Lise2+3h4xzxceHrfve980+kHRicqaCtNL0+mP+upcc/mjWgtFS+78c4Hb/zydzajVm2W3y8BEiFX+hfVcO6JFbzt/EmcdkINVIYNZ11rGgLbn/XxpetLuG1THodHfXDfS4HZThhWC02ZW0mhSz8Im7d4pFTGfassf2Js2+kSz7bNW9jBiXmuXzP7nG3lTrYrVsk1gWdtq+pWzvHUvauYxgHq/+bufqeGoyW/nJo0bq1Hp966U0ypsd6jXZfG9luky+kJP4Zr0vUs6xeVxVARcBwe9XDb/Xl86Tsl7PhdIEBu21HViDg8znHqmiretmES555Yx5IFCTxCwRNRcYsAGBquYZBdDK907uVgEzctXfLGo8Lt8zK4GjS/HPlS6aGeXtyyZnV86a+37gUoRcIYOKshievYvs/D9j0BHtwS4t1/VMabz6qgtz0BSyT9SKTTHLDzWR+f/VYJP95YQDWR9dOmYmz1R11pYltNDGvzqReVKTC5UiTF3ul9ytmRkifuxLULxzsGQ2eSO+Y/i8icBSexmF1rcNWQSrW8tuNRlFThyrqnH5nUtUReBqLYm0DYwsEEa6vkZUZAlOlQhtcycIBK2zk4CKX6u+jvL2o9g8YcPR0x3nFRBbkA+My1Jex61gdCdSuSIwFmt8f447MrePelZaw9NgKPPFTLOcRxiHocIkl8xDFHsXUAy2avu4UUlz0EHDla2OL5RYwc373uq/jzD/zl6IVnHbv5oYe3LZkYGV1KEgZCfcSqyZzHAMpxcIhi88MhDg5SnHBsjNaSuqgENCDY9ayPq79Vwo//bwFVyFyyBmCnGJx6DrhDx1vJnX7yWq40MHTjPpLB1Gn2to8RHkXiejap8VYS6xhCiAnYIsSZNMqSlo57ccyYCvMpx5LzWTATzZFR0tOZttMreeh4O/Xx6jsR5xjbE6qPsydoKsyYgAOJuKsOLE7Q3cnw2HYfI0eocevHHHN7YnzmynF84Ioy+roTJJGHej1EFOVRi/Ko1AqoVHOoJ+3g/jG3tfS+4y9r5aF9Qa7v5Qc4AHzzG1/Biae+cXTV0nkrhw8fOmNkcBChR1FjFBGHkCtiuYNqjWPrTg8Hhj2ctjpCqRkgPsHTz3n4u2tLuGljHjVQgVDVL0aZATM9lkIb+kRIE+XQ8akpAqpd79RyvdsWFWqDHY7cMN2WLQniML4tORQIzT5TPNMFs7k7NAKcTPWHrLVAo+WmcXKQzM9TMyl9V3Jc+Nbiwn7Ntt65aw2eAr6rPtTdIqTAsiUJZnUyPLLVx+goAThHT1eCL35wAm9/YwWlkIHFBEniI0lCREmIWj2PickixsYDkNwxaO895+by2NM3t81a+UIge/QSRY1j+nrRt2juNTt37FxcKx+5YsvTY/BrprOL/sUBQTUhuOlnORBwfO7KMp49TPHNHxVx48Y86pBI0++h5hEWm1spNj7c3Ep6lH/EBnTq4jvHwJUublxHI5gchkMGEMw/Uw4tV6xHxySI9HO1sJSPxDwa1z0xJkMtdbhedOqFpmwHQgh0fxyi9oGoStwgEAt7sbg0TiBwLgsKyZqHnIomroSDc7kv4Qg9hivOrwIcuPZHBewfpPjclWW8ZUMVOc6FIUWVi5ZWIsYIJqs+xmpzUQgHbuicveaasZFnXyhcXxiDA8C13/g6Vq5eXyu1zrt9UdeOs8rx8IIte33EcQxAJqJChEmCiFJb+/f56Ohg+NR1zdj0SIjIjlF1LCapUFhqFpaqWGZITQCVrm9C7WRiN3DKtoer5wrwHrEXi43sTazFJ0mxum5zTkzQFdEyxmL2BubMYNmMCQRiLD+QE8p9bnGDNcnUjkz2hvVeNdT/S105or5MFpunnV+GFCxnnlVXBhB3yOVLEpy1JkIlInjX5ZNo8QGuXJQcYBBmR0IoOIBNj/vYsmf2povPO+XynTuemJjft/YFA/x57eBZ44rLLsJ5p0aTf/AHF9TbOotAVEWIKpBEBtwQeG/yOa74wwouPqOGxXMTGePgnH2XwWExudxHADe8kqQydNDI2rpKrC5SNE147BR/U3k51W3caGSL1dMAyngOINs/D8PasLLs1X5t64aVlqYdNm7tQjtzR2f7wLzmNpd1beMs6xhGGz7XPl4XCIViYmr9ILnwJcDuZz389N4cbri1gHIM0SZJTxQG34tAaR2BV0W+WMD6MzbU79saTy4/fsOLgeoLlyhqjLOVYIz9qrNrcP35J99aaC0cxo0/L6KWQLcCW9Kb4A/OruKT75lAZxvD339oHB9JgI0P5uF4XOyYPUKgHTxwExgCkhXbbcsPY99OSxDbudNg6rP3pxmWugs8lzWVTDH0mAnmoxycW5JCYYPYIJctQrh5nXGRlKt6vCsZolr18ZRkUTVNCIVlEycyt5Nr3wUBBbMDs6TrX2wTLWOERBKlmgnn4JyBg8ptKXGIuJy/eDDEx/6hhO27fXz6n5pRiwjedHYVS7pFqjJFgjhm+NHdIdqKxdrZ647ZNHvgmF8R8qJ4+KUBfH53CeNjk5/86DtP57tOePQjv3x4X/7WTUXUximQJDhlZQ2fft84zj6+jpzPwerAcf0x/uZdZTy+K8BzQyR1/7BZO4O9YXdSznLBp9zxUppMuaBLLeT0YhD2cfZz4rzP0d2O5la/JpvNGwANYxIk0MpOvK70NjGvMSIw6qSzKTATKzALrrteT0BdR0XGV8nYFOX4IRSa8Qkjch+RpkYqX1drAGptmxbjIAw6GokA1CfYf5jiC99rwrZdPhAQDI97+OS1JWy8L4dPv28c64+rgccUtRrB/U+EiNiaoTseoZd++yudEy+eMl6kRFGj1FJkQf1nV0d07pduf2RtfbzaAlCK9asquOaDo3jjKVXk/QTcqqO7YkmEi06pAbG4hAYRWWxuSRM7eRjIztCBzdqpfY5tnDgs3yBNkNLKWVYNWIBXP4Hb0HYBPyXI1T9KmlgMriaBWwzf7tsjm6paxX9sr6buyGa56pnyYlrufDd1TW4zWO9JJzdTcyyz+wlZxYnUBAeAgOP2B3J4YmdgtemjqNU93Lm5gE98owX3b8khYR5Cv4iPvX1+/eTjF36nd+6y+kvBJ/AiFpnpMdT89mT3YO+D1Ypfb8uPn/3HZx4mV/2XYZy0vA4ec7AE1j0XaG7ioAGw6TchxsY8sVqkKQ8mVQtLIptEQRftSZsC7cwcmvXY4DUkesFJiPW6Xhjadm049m7i7LczdcyE0BJHeTNJ6g6QschMLwqt1QmQmlxqf6aJEGYdoEij4a7jfni2KTC9PLIWrun3KNu4TnLRqYqyxWOeYe/BAF/9lxJ+szMna7bLO7S8cM8cDPDojgJGxvIo5OaxxQuXXn3GaZ1fPmv5cO2z19z2kvD5oiWKGtdd/Wb85PY7K2cuG7iFJsFnFpSexvJ+D4RTJInRYYDQeCRmOHVFHReeVsM/3xJYJK4WmPIPAjjKgaMzPmx2VjIEaT3eGPudDpvNlC5AI6PDArX6lgpMNnvDBkK6w0MjlduhGMaUZySLfYwtQ8R+or2ZTAWpMHkSOJcNhE1XYKlpZFa9OM3Ky2lkjDz9sj0goVZJOGLLFapj03VbQ9lOnHJmXW+idf7t9+Ww+Ymc6UOphYNwq/LYwyPbWjF0xMeihWfyWRMLbtnxcKWybv3bXio8XzrAAeD44+ajmszb0Rp6V3rx6d96fNdPKCF1LJ0PEOIjYSogJwHnCTpbYlxwWgV3PFDAvkOBaXxvWVGILU1gxXjbYAYcNs7S4o61xAJrg/a2Fp7mtcZAK3vRadbF1iIz4/xkKhWJXmJdayVPjAZXgBeLSxXj5GCaiepQhNihs5aNm3IDVHCtsbWdXH0fDXpT5g2y1ARR/4eUNYRRK22OSF2vrCjG0kM9jr3PefjZpgKGRwNRYk858wCAMQQkwkD/JOrwccZJZ7KWzmVXLlncv+Ox7QdfDmi+PACft3A5auOP18Pm9dfffPtvijfcvPprPaUn8en3jaEp5yOKfQ1wz4vhRRznrKlj3bF17DuQt2Bg7oOUINUgKqsLwzTpZg37bA9kaiFJYFzqlja3b9EOyO19Fopd0LsLTAfkqbgTQLK4ArY1WThgCstbmfSAan0NHTGoQKo+xFhVJLg5abCyMJvJdY0VaCsIkwAHUXmbahIoYFOYYvxGg6uE+l9tC3DXo1Ka0AC6lSMAsATN+QTvvqiM00/owt6Ryl+98fy119/7653JmeuWvXYADgC50kps23kgOemEt+8aHv/N+MShaimq70BEKWr1AKL0WwIOgiBJEJAYvmctpyzbt0pk8KWNW/epTOVUOhKENrK3ZmWazdxKamTLFvc9ds1CPR3tCYK0bCH6Z6URPlWslZYr6fhwa59KqJEhUvoFCqKTGxgESgVby8L4UtaIRAViMTbXdnQAVtKx+hUUTCdCEB2oZUrAGbAzTkGVOUf+QFHbRK6zaA6gIQgNxPfkCSIODI4vQ3//JeMnzTl5V1x7Njlz3TEvFyxfPoADQFOxCfO6yre9/ZITP1AZGfv6vt2jHYjH0NpUhO8nyAV14b5lEThPjJ9aSRO5rWK9FYPbjhs7ocFzNLXpK5/p2CFTAJlmAdrdJlLn2NLF9vTZYHdp3UK2kiCW5lavZrG4va2ArQIilBVFHCPY2Qa5yEiTpj1pW9RSRQFdV8KiQoow6NZ8NtNrva3c91IjKe3NCdedJNLl5MTvELpdBM2F8P0QTT5BjnLkW+uY39OCuX2XDIfN6z68ZWv5thXHNb+ckHx5Ab5gTgsAYKI88sO23nP9mzfhmrH9v5x1ytJRtLfUgCLgeQk490zvF627hRVFsXe6piCBcbertLQsOdIYi0IavJa29SNtNWkAOm3cp4CpyZmmFptw5cl05kKbzZ0cACbXY6mJwCAK3csoV3mMAbmSI05YLOXSYQPp6CGSaMTnKvs3dGKE3CZG1kBXq2U6Q0gVDCKEi+azjINRKicRsUJj5bWlPpp8glk5ho5igkvPLeLP3nrq4ULnqX8ds/oPV66Yg5d7vCQ7+FSjuakdE2V8760Xn3fVutXrDo9P5lGt+YhjUQKMcSJ6aao6GsSNOTHszZ1kBdPLMg1iY0nRWTq2NzN9PHVjShpNeVODOy1NKHX1uY1oh9CnAjl3tx3WZnZqmrG2ajs1t4+xXPJ2AR2ZyK7a99nHZbnbmcq6d9LXpKVEF9JXNnDTyS1RrnzZopBz4YlOZAtAUe2XoEA5Cj5DSwHo7j75cOfsN12V88j3OlrbXgkovjIAB4C21mY8veOu69vaip/o6Jw9DDAdF0Epx+ExgqFx1Q3NtNe2i/c4sd2WzvYsJk4XsneYOkN7Gxe8y+IN288LbuKAW0M7Td3TsbcFWhODYjl2skBuOWfSIGfc7kNJXEePjimBBWLrM2UbQv2ZyvJix6tYn6XAnVjtChPu6fzNhFHwhKKjxDCrNZGNr8T1SxjD/Hlzh/2w8Ikb/+2O64vFwisFw1cO4ACwau3FaArGftDROeeDTa0Lx8FjWbItwT2PBXh4ex7wfbmy9uATIE+5iBikWWWPeaMtG1Np7EZXvMPeGZrbjhK0wd3osJHHKECn5Ys1IaZGt/WYCrTSgJ8G5GxKkBu2ZjajM1hBUqkGVnZZ4kxWN5OCpZjc7KNIEtF4NpFdlOv1AGuPSXDm8RWAxeBcdCg+dmDB+MKF8z54YKj6g3e87U2vJARfWYADQJhLWFgo3dBUmvueYsviai6s4JlBjn/7RTMGRwpAEALUh08ICh40uFUyg5AnPNNJ45Rhs23hGcFWjqxIW1mOAtw6t5JmgBtpcMsfbz1mWk3gAlqDPONP9aXh7HlAzlwAcy5729hA5QbUTkVaJ8KQmDuCajLruPSprPRKzV9CkSSeTFzwUauH6Gyj+ONzJrGwq4J4oopVxy6s9i+a857O9tINCSPTFu15XQB8wbI/RTE8ktR5/4/bOrrekWteUP3FwwS/+G0LEBYAP4RHKQqeYm+ZiuYZl7ybmTO1J9KwekbWDLUkCHUdO1OBe/pYbtcJ5ILbLaOsRwrlPM3cGc/TbQRZGvhpaaJiUZgLcmeCsJROd5jfxJyYmBVXjzObtW1wM0+ssxIPceKjHgeoVvM4c0WC01cNY+2KWdW5czrfsfSYxT/eOxwl//0jb32l4ffyWlGmGrP63gs++oUELf03799T/ZN9g+3fHyuPF1HIw6Meih5HwRNVYX1LnvhWillWcFWWBMkyCzrpZyl2Ticv6IWjBV5XpljgtYCtntsLyqkWl8pUaG/bi0vl4UlbWKS9SZXO0c8TLk2XAJQblFKiK1yZmhPEqlVoHjWgiSkURBixwm1TjiRmf1EiYwisHxoTc2eqchRzHG+5YGDy7m1df/a1m998M/Vu5N///HteDei99GCrox2f+eLPseGC9Thu1XlbV51N94CG5w2NlPN5ylAKCHKe0N6BdOr4XqrsgwqOSoOXWn+WxraC1mQZB/FoB1R504DbSBLzPuOmJyk2t4CfAW69zdML0sZjnWFNAj14w8vutuM+NSZNs61kVTqORll9rElq/R4rwNP+z2BXqFItDlXYrPRpgvkDo72zj3nfmy89cMP8pt347EevfLVgdzQBnS/v+K+f+ld0dLUijuI/GR+f/OqjD2/tPDI8At/3nGwcj/IMJk655xuy5gUwG8CtowozapmkZQqZmrUbGVtCJi1HbIzZz1MAtz8rfayzbWl4x7Ek1wJOxVwCHQtvkqyteiq6tgrXf6KhgQpqM/1OncZiBJiy2ZjdzoYyabOPUWxqQWfPsqEgLH6UUu8H1co4OhZ96FXF26sOcDWeOzSCIAjefesd933xBzfeNWv/oTEEvudkxBNkLyrTFak0yFPs7YDbYnHD+lZBHovBDcjdmHDY2/LsZbFvpu7WHsqMU06yL0Sa4R2QTyXRnPBgt1CQCOaT59eziiOlmviahb0NcBfkpmuedAgR04QMPAGjHehZsOFwz4LT/4ax+LthrmNGcPaqaPCsMbu7HRPl8nff8odnEMbpF/7pf/181tiRUeTyFIHv3sbTmlu75NMXG6ljiCtbHDmjwe3GetsSJRPg+os9DzukgC1+yxTv4M5h+nenY1IctcDd364ch9Q5kJh3UyJLrREwy5tJdPCUtXglXHcjUd5TofdFhCKX5xUg4LLwKgHAaAIgRlNTCa29Gw53zDnnqiTh383lW2YKZjMHcABobmrC4JHJ6y86/+SYE+9r//7TX7aPDA+CEqZX7UR6Mx0Qw32uNWVKE7tWFHuxSRyN7UoU20NpdDU1/1EDo9qDNyA16xjuvmY95Vmfo/Q7xA+XmAJNgdz0lTTZQerNSoEnUIC0e8lbqW9qYnHokhTqSzBuTyj5uUS2JEmIsIY1daF74Zkjbd2nfJzQ6F+IN3PgBmYY4ADQ1VZErRb98NINa4cPHtjfn/P6vnTPfQ8Fh0eF6Sr0jcaeatgyocG6ohenxCn/YKSKcdwo1ja2b8Hs6f8jk4jTNKt28/TzRjTbNvGpKs2a72D67vBUfLvwElvfgSg7uwC0+u42axPOZRtw6Gx9938XX9SubAsQ3RQ49BmSCDg4lMOSpeuiYgs+0dx56i5Om35KveBVRlPjmHGAA0AuF7DHtzx122VvujCsj++cnN9Lv3ndjY+Qw4ciWgiBQNrERWs8FzT29bAXf0aqECtZWS0siSNTVMFM0zjKMhVmMbZNtWiUF7bkaDABWu/nU7xHbLtv4tyeZMqMKePBrQkJWAyubIoQ7UFEnUFZookARDZTtQsK6Q8A9KQw38E4iBLKkSMcuSBGwgkrdK3jKBz3F0tW9X3/0IHD9Z45bTMNKwCvEYADwMoVS1Ed3VrP9XX/sFCcvPv4reXL9zUf/tzgof0ohCJOJU6AiHMk3ATqUwqnnqM2dVnsreoEKub2HKArQNMML2baYmKpCgUmbvDOIXWrnAxThb6mhzNhpVfHlSpWY4FpFpuqAKeOQuTQaW7m2wudQZiRF6JmpmmNAmvhSGUzMXVclBBEsTCIcxajo2MuZnV0/N3Y0LwbJ+LZz9x1/2D93NMGZhpOerxmAA4A+dblAFD5yjdv2j6wbOUXe9r3hKMjpU8eeu533kS5iskaUIdyPRtGoxJd9kLTOHisvxSLew7Ap8r4cVncjhsB4NQtASyQIwVs9d40e1v6RPwMJQe4OU7LFq57UabXB4RILa10tQR3WmwItuci7JaIplWMZB+ryisrWcMYQRQTjJUJGM+jfVF/kiu1/4+B/rYvFoqHkoXHnjvTEGoYr5qj54WMn/30R7j4wov4h9//trv/7ab/nWtu8k4aGRn1R0armKgwVOoUsYwnJ1BRh8b+7Vss7Xnmz5fPbXB7lIB61JR5oyY31pR+S8esoMGpkzYNHq39VUcQymeiDIRhbC7Z3JR7MAkPym0vIhAtlufmizR8D+J+f70gd+zlHL7PEXgcgc8QBAyhnyBJCOpxgIh1YO6ik2onrr/4y/P7Tv7UW996GV+y8vKZhk3mONrrMCNjYmIcMpn2C1u37V7/nR/cSg8dmVz/6K5hP+eFaMkD+YAjHwChTxD6Ijgx8Al8T/Zb9MXq3vPEPg14y5KiHUMWkJU9GdZdwa4olR3Car2GxtgSZDCzOU5JBJGIYPrvGPByS7poiwrUYrpxsawmvpq0xkMM2dQXGsi+xxH6HL7PEAYMuTBBPkyQD2MUcjUkvILxyvw4Sjo39x17MeuY1bc5SdhVYRigVHp5s3BezvGaBrg9brjpx8iHYWl4fPSff/nYnrf88oFRmudltBUpijkgHxCEEui+DwFwxdwe0UD3bYBngNsuzmkv3NLyxAlLZTbDpgGdjhRUXJ29XzXyYipDhgOcNQIcSK83bEcVaZBingS5L0vR+D4EsH0B7kA+hgFHLkxQCBMU8hEKuQo62wj2l2ejpeviI/lC1wBLqocHBk6YaUgc1XhNafDpxhWXvRljI9vGS635D65Y3r8TbMuK8tjIpdue3InA91DMeVbMimUN0QtL4oBbPKKRvfW261xSAlqxaqL6D0nbsbO4hNHhWYNPsceRJVx1TcsAOlJOLSomBJWLTEZFnXmnKpbFZQTSgkIBKnvaMyayCBMmnTlIQFFFqW0x8q3Nt7S1nL6td87aqJD3J5NkptFw9ON1w+D2eOKpfWhvbV64+eGnvv7IY9svfWLLFsT1MRTzPsLA0276QDJ34FMEPoXnCx0u2Nx26bsxHJ6XAXJYIaxMADxOgCQhSJhc+Fohq7CZHHDlBpCSKdySOVyDOmEcSWIemWJ6bekwkzi7NxAsBrfvZkDgA6HPEfhA4Ivf7FMOShMEXoRZXXn0LR5A+6yltzS3HffhOBrfW2xZNNOX/gWP1yXAAeCZA0MIgmDJlq27V0XV8od27HjqzCe2PYWJ8XEEgQ9KBJDDgCIMBMB9j0r5YirGeRZjKzbU7U+oiNmg1qLRBncUm0cb5GmJAjwfwM1+LsEdM444ZkgSjihRQJeFNGEWhw1BZKm4d0rcu5Yv1yehD+QCjlwgdLiwh0doaiph3oJj0Ld48T3Npdw/tHUs/i1j8c4g1z3Tl/xFjdeNREmP+b2dALCTc74TwBafxr2rVi67btuT25c88uhvvUq1DkIoaEi1PAkkuD1POo887tQ7IcQkWPhy4SXYXMVVCwDHiaD7hAGQt2s7xYy/iN9DlE1R2uTsCRXHHFHMkSTQTZ+Uuc+Tk9XjZhUsqxyLrHtZWpl7sma3vLt4VGa+E9FBjSFA35JVyfwFS3ZGcfy+Bf2nHgCwfcr4mdfJeN0CXA15AbYPDg1vT5LkgqZifu66tWtu+skdd7cMHnquCagiDAhyoVloBZ6xIlCiFm4CIJS6loXAN9F2hAj2rkfCRRjHwi/OuLHN86NJwkrpczueRgUvMeWB5ALctYgjimXiAYGuCxNwAu7J36D98PK/4VwmPqgJyMAoEesHTuFTjqaOAubPm13uX3b6WD1KLuuZPe9ZSr29r3dgO+f292VISwQdHZ1ofXL7rlMo4d/et293PHRwT0elPFyqRwycc+QCjkJeaE8C4Z1LZKtD3wPCQNh/cyFH6CcIfAbfE632koSgHnkoV3yMTngYm6SoVIEoMQyuzYrqe+nvZ6wkTshHKhyAcyBKOKrVGBOVGGNlJpxckfDiEog7USClRhgQqaWFFCEQpRpiWffE99VxFFQWv+zp6Rw/fuXA8MBAvx8G5L3dvYseyOVKo5xzRu2CLK/z8bpncHtI1mG/+93+kYXz59w5NjY28P1//ffat//x6o9tf/Lhd+7ctS+qVCrLQq+ezwfjaMqLVrpj5QC1uiw6JAP9A58jDIwtOB/G8H0GzoHJagCCPMpVinrEMVkVC0FCiQ7q0v21xANYyttpR+nZtmxlpgw4kCQeovEE5SpwpAyU6xSMAzlP2P7zAReBVJTDk/ZMzxPmwkqdY6ycgIOjGBK0dJdQaspVC8Xik3PmLgxOP3XdD3/w7S/8/fFrPplramquTpYnWX4Gw1pfqfF7BXA15s2bAwin9uThg/vgef6XPOp9aVHfUq9YLH4TrDIQV3adXvT2eFE0gee2FfHcEEd7yUMYSG+ox5DzExTzEUrFGpqLVYRBFSAME5NN8CjHSJlj78EASBiCQCxoSUBB5Y1ROYpULcHEXlByJbml211ac8IAyAXisaMlwTOHGYYngINljpFqBMBHwfPQUeBole8PPALmQ05QoCkPgBDsPuyhWChiRf/s5MTVize1tBS3l8vlK8cnakkun8e73v8pPmfuwsmZvl6v5Pi9BLg9ZvUsAIwYiCcnRv8b8fLtcW3l56ORm8KDB7cm41HnCcVS01rqHUESjwNctL0OghjFfB2tpTJ2H5jE/ds8+J6P2SUPA/MZuDeMTdtasXQWRVtJVOXyPQriC61vbOgy1poDMRe2Zq3VibSfy1DewAeaiwwdLTH65g7iF0/kwJDHKcsjdHcMgwYx7n2iFXt/1yLDgJkoYsoTUFB0tbdh5bIeEG/y4adGRh9ZMH+p964/Pb++aG7H35Yn6yMdHW0zfUle1fF7D/D0KDa3AsAIgPcDwH/ceRdWryZnEiQbcn7lMp9MLvVQxvjIUyjkJ1AqHkEtGsb1P83jxrtnY1F3Aacd66GjVEeSjOPQkTq6i3kU8hwF2ZfS8wRQtWEEAPHELEtqDFHEnKx64VoXpc88CuRCjrZSDbM7j4AGHegqFXDuiiLWr4oxv+cA/vWuZ/B3352LIxMtmNWSR0vJw7rjB9De1oSujuan5vWWbmpuCn62dg2/Z/mqM/C9a2b6rM/c+E8H8PS48IJzAOCe8bGRewDcy1ncPzk5zLY+sp+1dc3u6+pe9TePbX8SpNCFE5eMo8kbQltTHlE9RhInqMcxqjGXVV3FIjUXAM1FoUdGy2KB19rMUYtiHDicoFoHWpo8BD7F+KSo+NRMfAQxQRQLU0zgJfC9CITHiKIIzzxH0V7KwQ/6ccH6PHY8l0dYWIHq+NAX6+XBPRecfwbtntVJw9DfBeDOzo72mT61r4nxnx7gapRa2gHgTvU8qhwA9QptSW3P5ir30dXTFp13UuEj+YCf39HqYeHsKn679XY0NwcoFfNoKRG0t+XgkQRxHKGzpYJyZQJbdrZi0ZwAnaU6qmwcTw95YNUQ+TDA3G6KfUMTmJzwsbg3B57zwZADKAP1EiS8Gd1dXbjwjDegf26I7nagUEw2zu088LWzTqZBa+cqrDhm3j3lSvVI//xZM30KX5Pj/wN8ihEUegHgCIBbAWDvvgMA8CTjSU8YEFYqVLDj6XtQyAO5XIBcjiIMeNS7YPXVHp+8ZG7vRLRpSxl9/a0YWBBiXncdFVbG6lUBUA8wt8vDwEKOE04YxL2PtOLYvqZgTk/TTzbeteVqkDAgNARHDq2lJpy0dgW6O0LkQ1DPpwerfM2eN1/SO9On6HUxfq/s4DM9br7tXoCQHl4fbJ03a4L/5IEqFnaV0D/PR3d7jAqrYNNvfaDuY1YbRf88jkVzD+GWu9uxrK+ZrFjaNco4P9g974yZ/im/N+P/AShPuVRUsLb3AAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIwOjQ5OjM1KzAwOjAwMvWROAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMDo0OTozNSswMDowMEOoKYQAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69037423
{'hecke_orbit_code': 144115188109414306, 'n': 1, 'trace_an': 7}
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id: 69037424
{'hecke_orbit_code': 144115188109414306, 'n': 2, 'trace_an': -7}
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id: 69037425
{'hecke_orbit_code': 144115188109414306, 'n': 3, 'trace_an': -7}
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id: 69037426
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