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{'Nk2': 22080, 'analytic_conductor': 44.077421915746775, 'analytic_rank': 1, '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': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5520, 1, [4831, 1381, 1841, 4417, 1201], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [2, 1]], [11, [-2, 1]], [13, [-2, 1]], [17, [8, 1]], [19, [4, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227304336, 'hecke_ring_generator_nbound': 1, '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': '5520.2.a.bd', 'level': 5520, '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.g', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}-2q^{7}+q^{9}+2q^{11}+2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/5520/bd'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5520.2.a', 'trace_display': [0, 1, 1, -2], 'trace_hash': 1675454805583045081, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.974', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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'embedding_root_imag': 0.0, 'embedding_root_real': 0.0, 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227304336, 'label': '5520.2.a.bd.1.1', 'level': 5520, 'weight': 2}
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{'AL_dims': [[[[2, -1], [3, -1], [5, 1], [23, 1]], 5, 4], [[[2, -1], [3, -1], [5, -1], [23, -1]], 5, 4], [[[2, -1], [3, 1], [5, 1], [23, -1]], 5, 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]], 6, 3], [[[2, -1], [3, 1], [5, 1], [23, 1]], 6, 4], [[[2, -1], [3, 1], [5, -1], [23, -1]], 6, 5], [[[2, 1], [3, -1], [5, -1], [23, -1]], 8, 3], [[[2, 1], [3, 1], [5, 1], [23, -1]], 4, 3], [[[2, 1], [3, -1], [5, 1], [23, -1]], 4, 3], [[[2, 1], [3, -1], [5, 1], [23, 1]], 8, 4], [[[2, 1], [3, -1], [5, -1], [23, 1]], 4, 3], [[[2, 1], [3, 1], [5, 1], [23, 1]], 6, 2], [[[2, -1], [3, 1], [5, -1], [23, 1]], 5, 3], [[[2, -1], [3, -1], [5, 1], [23, -1]], 6, 5]], 'ALdims': [6, 4, 4, 6, 8, 4, 4, 8, 6, 5, 5, 6, 5, 6, 6, 5], 'Nk2': 22080, 'analytic_conductor': 44.077421915746775, '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': [5520, 1, [4831, 1381, 1841, 4417, 1201], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1129, 'dim': 88, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19], 'hecke_orbit_code': 33559952, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5], 'label': '5520.2.a', 'level': 5520, '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': 1176, 'mf_new_dim': 88, 'num_forms': 55, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 88, 'sturm_bound': 2304, 'trace_bound': 17, 'trace_display': [0, 4, 0, 8], 'traces': [88, 0, 4, 0, 0, 0, 8, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 88, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 104, 0, 0, 0, -32, 0, -16, 0, 16, 0, -32, 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mf_twists_cc • Show schema
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id: 48702265
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227304336, 'source_is_minimal': False, 'source_label': '5520.2.a.bd.1.1', 'source_level': 5520, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 130604389227304336, 'target_is_minimal': False, 'target_label': '5520.2.a.bd.1.1', 'target_level': 5520, 'twist_class_label': '2760.2.a.g.1.1', 'twist_class_level': 2760, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48702266
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227304336, 'source_is_minimal': False, 'source_label': '5520.2.a.bd.1.1', 'source_level': 5520, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797780168, 'target_is_minimal': True, 'target_label': '2760.2.a.g.1.1', 'target_level': 2760, 'twist_class_label': '2760.2.a.g.1.1', 'twist_class_level': 2760, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48702267
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227304336, 'source_is_minimal': False, 'source_label': '5520.2.a.bd.1.1', 'source_level': 5520, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934638168, 'target_is_minimal': False, 'target_label': '8280.2.a.l.1.1', 'target_level': 8280, 'twist_class_label': '2760.2.a.g.1.1', 'twist_class_level': 2760, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3921475
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 2}
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id: 3921476
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 3}
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id: 3921477
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 5}
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id: 3921478
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 7}
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id: 3921479
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 11}
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id: 3921480
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 13}
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id: 3921481
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 17}
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id: 3921482
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 19}
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id: 3921483
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 23}
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id: 3921484
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 29}
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id: 3921485
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 31}
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id: 3921486
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 37}
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id: 3921487
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 41}
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id: 3921488
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 43}
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id: 3921489
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 47}
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id: 3921490
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 53}
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id: 3921491
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 59}
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id: 3921492
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 61}
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id: 3921493
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 67}
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id: 3921494
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 71}
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id: 3921495
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 73}
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id: 3921496
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 79}
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id: 3921497
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 83}
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id: 3921498
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 89}
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id: 3921499
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 130604389227304336, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 30, 'label': '5520.2.a.bd', 'level': 5520, 'portrait': 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YPYY6Un2DRhWGoZTl5QVDyfTdOwbS5k48yADTNDNs0M2bbRsmOT4vLtHlVV59jJJg8/7/PkwZhnT0QkqsNbXtHizpdZqmqGgycmOXZWc2Y+4XwK7sOLlpuuXOBfvnuF7bMTnJ2f5MJKhaWWx3JLstpJ6PQS+kPB4ROLHDu7evkzRxZfuf/U0q5Dpxa/dPvr3xk+8KWPf7sh8Vd6fEcz+NJyC7AAv/rY00de9i/+82fkm248/LJ/8nfO6qXWHKudOsutCkstn6WWZqklWG4lLLcillYTzq/CkSXB3Owq/+ZHlrj50hqnLkxzdr7O2UXNhSXL+cWY0wsJ852YyekBL7+6y617wZdVAhVwYbnCuUXN+WVBbwhxbKj4hnolYWoixgAnzse0u7Bzo0e9OsRaAcKn2zfs2DRkaVWDdVJktQvDGCyW5VbI1g0enb5CKIswQ5oVjx2bB6z2BCfOahKjmWlKGhVB4EEcC3pDyfllybkly4WVmCAYgBdz2xVdXnalYK5ZZWmlyakLAWcX4cJizIXlmDPLcGTJcuMVi/zyj6ywabLJyfPTnF+qsrDis9iSLK8mrLQjltsJKx3DUkdwritYXOnxW/8kjL/vVRMPVuZ+zFQnLnvQGH7B8wR+8J2bHf2OZfAPfeSTvOy26/k/fvaf/srHPnXP//mRP/vaxftOruzaf6YnX3l1iz1bEpKSrrZWgpWABARCWLSw+BLOLlV59LDk6j3L7N0+oFYBT0t8T+H7mnpVUvMkva7HgeMVvvKkz4n5Ie044sCpIRtnlnnry1e4+uION+5tcXwxZrEnqAUDjp61tNp1rrpIsjpI2Hdc0ahpXjgBl2yxDMKEQeKjdcRUA/afClA6wZMx2oP+UHLz3h79nuTqixPa/YQTZxvs3qSo10JWh5YNkz1Wum0+fg88fSzh2WMDdm5Z4prL2kxNh7z5tg7f9yrLnk0NkmiSY2cmOHLa49R5w+n5iNPzCUfmBSdXI669dIF/8yMdNk5Ocur8NBeWaiys+iy1JCuthFYnYrWbsNq1rHQFF3qKpXbMjZct8p63LkhPil3nz57eHUXDW5pTO6uV6vRXn3z407zv9//02w2ZdR/fkQz+gT/8c7Zu3aiOHDnxf584df5fPPX8CbWwGrIyVJzuwuXbL/Db75nnuj01LixNsdSqsdyqsNzyWG5rVjqw0kpYaccsd2IWW3BqRaCrA26/cpnvf1XI7g11VrtN5perLCz7LLYEyy0nEVY6hnbf0B5aeoOYmWbEjo0GEASe5fS8h5ABOzcodm+xbNnQ48LKkGcONbjhEkutusLzh6dp1EPC0GNmytAfwOU7Bnz0nkku2x4zHFpmJyRR0qdRCXjh+ICqV+e6S2OePRpyYcln60zA7s2wY1OIUhGnF8H3LEJYdm6MmWpIOv2Abs+j3fNYbiuWV2GpZVhuJSy2Es63YGmQsGNrl++/Y5Hb92oqXpNzi00WVyosrmqW24KVlmG1E7HSceBe6sL5juLCaszNl13g19+zxJ7NDRZXJ1htB/SjOrp6cVKrb/yVuU27f3l1+Vxy/a13fruhs+bxHQXwgwcOUqlUqmfPnt7x4KPPvevQkbP/7six0xgUvRBafccoZ9sxN1x0gd96zxLXXFRlfmWKpdUaK+0Ky22PlbZmpQ2tjmG1E7PSiVluWy60BGe7FkSXO1/R4s03Gy7aXCEMa6y0Kqx2fVodxUpX0OkJBkNLGFuSBJS0BB5UA8tk07JhOkJ7A46cC3nucICJ67zxlhDtrfLEvgl2bYYvPBrziqsC5lt9KloRJxHTUxBHHtqLWVqq8fLr23zhoQa7N8Pjh4Z41HjDzYZY9HnuSMKx0xW09Nk4pZmqC6qBwPcFSkBsIIwsgxA6Pctq19DpGVZ7hqWupZ8k7NzW4823trjzZSGYBkurE8wvV53ebmtWWrDaSWh1Y1ZTcC/34FxbsdBOuPHSC/zGe+a5fGeVheUpVjs12l2fbl8zGFrqE1vRlS2/NDF7+Z9t27b15HA46F9yyWXfbijlj+8YgJ86eYgNG+b8QwcP/9iBA4ff++AjT4mFpY4cRjAIDb2BpTOA1YFgvqc414m4+eJ5fv0nlrj+4gqLq5MsrdZZaQesdnxWOprVjqDVsbS6CaudmFbXsNK1zHcE51qGqcke33Njh9v2xuzcqGhWPdqdCoEnAUUYS4wRGAu9ASAMU40Bh85YjA25+/E6w16Vi7f63H51j8isct+Tk1x3iceh811aK01uvbrHV58I2Dht2XfC8r+/vc2+4wEbpyVfeVJx++WK5V6bo6emue7SkPue6xMPa9x2hc+e7QP6cZcvP6EgERw5rWnWNFpAry8xVpAYSxQD0qB9Q6trqTcitm8e8rLLe3zPDTEz9QoXlidYWq2y0nbnZqUtaHWh1YlpdWNa3YRWz7Lck5zvCBY7MbdctsCv/MQC1+yusLAywWq3Rrsb0O559Aaa/lDSGwiGUdVs33WV3bFrz0/v3rPnQ0uLi+GVl39ngPw7AuBJEskk7r31yAufufjsgvqNhx9+wmt1Bb2Bkwj9gXEJmqGh0xe0+oL5vuRsK+a2y+f51Z9Y4IY9PqvtCRZWGrS6FVY7PqtdTaujaPWg07W0ezHtbkK3b2j1LAtdwUIXomTINZf02TSd0O1Z3nTrkF2bDHEi0dISRnDvMxVOzlfYPBXz/JEKmBp7tymuv8wQVHo8cajHwmKdK3fVaU6u8NCzHjddUmGpt8rKSpNNmyyP7lP88Gu6PLZPs22Dx2K3xcryNNdf3uOh5xOmq5NceXGX+VaLR1+cpKrr3HiZ5dIdA5Bdnjkm2DAdcWEh4r5nPAaRQkpIjGXX5pDvuTWk01VsmTJcfwmEYY3lVo3lVsBq16PdU7S6knYX2r2Edte5Je2eYbVnWe5LzrQFrf6Q2y9d4Jd/fIUbL3E3R6tTpd0L6PQ8On1Nb6DoDiTdvqDdSVhph1x1zY1Ra6D/+U/83bcdbjarnwt8z3y7sfVtz2QOBj2Gg/6PnDjy5G+fO314+sy5No2awlqJEBYhQIoYIQ0IgcBpUCktUmoeO7iRX/iA5u23L/MDr1lm99aQ80tNAr9KNfCpBR71qqZTlTT6HhN1TW+Q0O0nbBy6G6czCFheqHD6lCWMDWfOxwSBBQS+smgp6PUVAo+4p7l2l2DPFsuOrT2GSYcvPqbYf3iK198QcP3lK3z4ixZf1Ni1tcezDym2Tipmmz0qqkoYecx3oF7RbNsoeHp/yPWXVnnVdYv84V19fK/B626xeEGPrz0a8oVH6rx4rMpFW2rs2pwwNxWyezbiql0JShm0soClFgTMTQaEkUen5/P8IY/uQNPrZ0CE7sDS7bnfvdNP6PYt7b5ltQ8LPcWFFUttosXPvHGBv3P7kGsuqnNusUmrW6GTg1uNgLs3sPSHjgTuue8xr9KY+e0HH35s+VUvv/lnu93eH9brtf95AZ7EHcD++OmTD/zqkX33Tvd7LZTwqQSWOLEYKwDllhmRIAVI4TpplLQomeBLybOH5njqYJ1DZ+d5+8u6vOyKAZONJsutGvV2hWbfp9vTdNKL3R9oekOnIQehIYwsUeR+ZpxYwtjHGpBK4GlBxRdMNgRTDdg0a9i2scfsVIsvPQH3P+UhzQSvv8Hj2r0dHngxIhw0uf1aQavfZ36pzm2XGmYne1R1wCBWLLQjlBFce6mm1hjy5IEKr7x+gluv6fDkAQV2ghuu8PkHb1nmq0+HfOWxOvtOVtgxp9g0XWWqUWOiAdUAPG1REoyFfccESSKIYkEYwzDC/Y7DhP7QMBgaegNDb2jo9qE9hIWuZL4DQzPgtdct89aXtfih1xniuMn5xTrtboVO36fb9+j2Fd2+ojcQdIeC/sDSGxj6wySNVSwXzp/nTz7xxenVbvKbb3vzK/VKq/eBqYlvH8i/bQDvdlYZhuIfLJ2591fPH//yBl/2sIEPwlJJDCYQuDoqgRAKIQVKkoIblLJoZfGUoeoJFntVPnbPNr72VJtXXLXKu1+7ylW7u8xM1lhardHpB/T6Xgps5Y5QMIwkUSyIY7fUu5/pgkqtoeJDrWqYbkRs3dAjpsuhMxEfv6/C0VN1JoMqN12hue3qNo8ebHH3w01uuaTCjs09PnqPQImAZiNitTvEWFAC5po92h0fE1d56yvm+dgXauy5UOHNt/QIoyXue26GKKlw8xUbePNNbS7Z3uJrT/Z49lSNZ475bJuWTDcFtUDge+4mlAKEsBgLxliiOL1ZI8swcjfyIIR+CJ2BYGUoWO6A0AOuu2yVd3/PKq+4ImGmWWWlXaPVqdLpBXQHrlAtWwl6Q0l/AL3sxhkk6b9tiQ0gFCfPtvjwx7+yIU7sr77zrS+3S0srfzAzM/U/B8DDC7/J2aVL6M1/9kdbneg3Fs69MJtEKwSBByLBAtaCdfnIVKIIpJAoqZEyQSmRLs8GT1kCbalqwcpAsdSa4hP31nnk+S63X7PKu1+3ynV7WswkVeI4oDeo0O179IeaMFJEsSROJIkRGOskkBSWwDfUKjGBH+J7Q84sDbnrccnh0z7HTk+hTMCezT6X71bcsLeNChZ47kiDrZM1rrwINs2tsNxuctVWSWwsX3osYNiTTNZj3nDzgM/dF3HyfIPLLvY4tzrghaMe2zdOcc3uBR54tsNDLwiGoc/e3dPs3R6wd1uHI+eWOXwGHttf49DROjUtCLSkHlgqHkjpgipr3c0aJxDGECaOcdsDQTuC0MQYO+DGS9q8+3vavOKqhM3TAYPBBEutCp1uQHfg0+trugMnSfpDQX8g6Q9d3+hgmDAI3crQHxqGobuRhhHERjG/uMqfffqeDcdPXvgNVanHv/fBv/zwPS8s8qe/+ff+5gL8n/7a+/A2fIZK2/6QiE79TtKen6xqD6MUURxTpGlACBzYpERKmYJaoZRAK4NWCZ4W+Nrge5bAs9T8hMmKoDP0WGlP8cn7m9zzzICNUz3edUeLvdsHDPpdrtxt2b5JMYw8kqRI87ufZ/B0wokLlmPnBat9w2cfqHFmcQobekxVFFtmNDs3aS7aClfuaWPkIu//XJ3l5Qlu2au5ck+Lrz0jELHHhilJvRbTi3xkmoxS2qc1EFxYFlxha9xxQ4cHn6yyZdbnliun+ftvWeRDX+jw2IE63YHH0mqD3VuqXLa5x82XdvjeV3Y4u7zMZx8IWOoFnDjnceaMj6cEUkoEAmMtiYHIWJLYMDUTcfUVPYbDiL3bh7zjjiEbJhTTjYAoqnBuoUKv79MbulWunwNbOnAPBYOhc7QGw4TB0LgkVmgZhJZhaOmHMIwFwxhCozl4qsWTxx6Z3bZjy+/ces2G6E9/84o/WTzxm8zu/Gd/8wD+j/79x7nitneJH/059c5N9ed+/10ve6a2d2eVVrfGMPQJI+061aVFZM/CuQRSgkpBrpVEK4HWAk8n+Frge4aKZ6lGllpomagkTFUFvVDSCescO13n1/9kGkyMiGNuuLrH7k0hcQzGGqx1SRwpBFIJtOdz4KTPvsMV6hVNw5fM1gRzM5IN05otc4qdmxMu27lKIpb4z59qcuLkJLdc6rF3V0I/7vDwcwGTVY+ZCctkI6RWdVLIGElroFjuWpZaCa1ulZdfucrj+3rsP6mYbFa4+YpJfuKtS/zXT8OTh+t0+5bVjubCcpNNszU2TA3YOTPgn76zR7PW4tljcOCUxPMsSlmEMIB1/7MQx7BrU8LtV8UkkUcUB1hbYxB6nF/06Q/dijYIVS7f+qFgMBQMQsfaw9BlZYdDwzA0DCKTfpYeEQwiwSCCfizoxZJ2BJ1ezOzEU5NvvWHm93/7wkLc52c/sXRiws7sfM/fHID/1nv/hOsvqqu7vvFHdx4/tfThP3pktfLM/ia/8Z4Wl2yL6PRqDAYBWhmUMkhlUNJLA0mLUirV2xJPO83pe4qhJxmGhiBMGEaWamQYRoYwtDRjGEbGsUksGESSYRIQJRX2H67zzH5IrMVB22ljT4KvXM1HI4ArN0OzChN1yVRDMTOp2TANOzYN2Ty3SmSX+c+fmuDI0Qmuv0hx0TbJnm0rfP2FmAtLE9ywWzLVNFT8PoEMsEoQJxJhLXESstKtcGHJ4/q9Va69tMMDT1bYOCWoVRpcf6nhZ+5c4nc+bXjhTIPVrmG1o1hY0cxO1plqVplqTtCsRczVI3ZeHxJ4MZ6OUSpBChdMWNxNFUWK+QVNFCuiWBFGimGUPoeSYSQZhpJBKBmGwgWooXDSI3TndRgmhKkUGUTu80FYAnYk6EaCdizohJZwMOTancv8+5+a546952rLS/UP95MPmYX2VZ/a/9SfJHuv/6HvfoD/+Sf+lNnJijp0YuEdy+fP/uGhQycq1WaTLz0u8T9g+eWfWGXvtsRdmEGCUgla+mhpUcqxuqcsnlZ42uKFEt8T7iJ4gqGvCCMH9CiyhHHiXJG4dCQQJ5YkMSQGp7cNObiFACVBS/A8CLSgEghqgaReU0zUJFMTgg3TMTs39WjUV/nUgyH3PTfN6mKTq3codm72uGT7gESs8qXHatQ9zdyUolEb8NwRePGo5qrtlt5Qcc0lEVfvsZw/l7Cw4tMf1HjjTR2+8WyfQ2cU9aok8JtcdZHhl390iXtf6PO5e2dZalt2bkhYaWkmm4qJukej5lGvWiqBIfANgU7QykktKd01sBaXsDKC2EjiRBDHgiiWhLEgiiTDyDkvYSQII0sYwjBKCCNDWCKOYVQ+HLj7EfQiQSeStGPoDQ3EPa7fscy/+vElXn+jYKU1xdLqqUrPzHykb8//5N7r3nm0H/3gA1UvvRO/WwF+cAl5cKH9A+1zZ35v/8HjlZmaR9IXRLbGXz60iTBUfN8dLd75mg7TzZhOr4KSCUonaO3h6QRPa7xIE2jFwEvZxpOEviCMhLs4kSKKIYykcxDiwvaLE0OSOHchsalTkp5WIUQqgZzs8bUg8CWVQFKvCpo1y2TDsHF6yNxUh9iu8olvSD70hRk2VCpcvUOwY7PHri2GnZtX+NTDluXlCns3Kaaa0KhFXDgumV8J8HfDMBLMTUgmJ+HQMctK23B+scIluyq85oYOd91fYaYBge+j5CRX7RH85Jvn8eQ8f/nAFC+eqbCxHbFhMmairmhUFbWqpBpoAh8CD7R2DpOzVUsgx93YiYEkEcQJKdAhSixhDFGUOFKIDGH2HBnCCIZx5sqkFmQsHGvHgnYk6USGcBAxEXT4/jcs8o5XdXjtdZJWp06vX2EYVVlZOV4Zyuofrczv36897xog+q4F+O9+8NMkifnRe544+ltnTpxsxkahpKWuLaFVtKjzpcckDz8fcH5lif/9e7tMNSMqgcs4eirG0x6e9vDDhNDT+JFiGElCz6XSHeMIx0QpK8UxRAkkiXMSjHEBlzE26+FMwe0A7rS9wNMOIJUAahVDoxoz2YiZm+wzO7XKg/tDPnJ3lQPHJtk14bFnE2zb5LNtI1y2o00vbvPoviZV5TE3pZhswGRjyNREjO9rhHA3V3/os9yOWO1ZWt2Y+RWfHZsa3Lp3nrsf63HgTJNaEOEpHyEm2LNV8Xdft8iNl83zkbsbPPr8JEtdzYZmzGQtplaRVCuKwBMEnsTzXKyiFKl96FDuHCrrVq8U6HFi0tUttRZjQ5w4cMcRhLEtjsi5MoPYkUovFnQiQSeBfj/GxH1mqh1++vuW+L9+sEfV92m1GvSGFYaRhzGSWhUYPM3CsXMbJudufffRFz/1oYuuuPO7D+Crqy2Ukj/+vg/+xa+ePHp6Jk4ciJSAirZMpIFdp1mlNVD81p/57Duywltf2eWO6zpsnB3S7lQZDAN8LybwPYahJoicvRf6DuBRJAljt+xGceppJ6TWHylzS4ylALdLUqbMDVq5hInvWSq+oVqJaVRipppDNs+2udDq8d7Penzp8WmWV+pcPCfYsUGwdYPPtg2C3VsGaH+Vj92nOXqqzqUbJVMNyUQ9QcohZxYsgZZIAdYKwkizc0Obx0ho9xQrbcuF5SqXbqvwvXe0+POv+Ry/EODpCCE8jK0TxZIbdq+w8wfbfOnJHh/90jRPHK+zdUowW0+oVxIqviDwBL7nYhWtUotVirwmw+JuMmNxTkviAJ+BPE6cpHNghzBxtS5hljyKBf0YOrGkG0M/NMS9kG2zbV51/Qpve2WPN95o0KLG8mqVYRgwCH3CWJMY9y0aVY/O6sqMDAa/cdm136t63c4HavXGdw/AF5bboLy/f/83vvGr+/ft2zBVNYSJIE5sFtwDjl20ELRFQDvUfOzrAfc+2+H6vW1+8LWuCm5mMqA/COgPfQLPI4w9wkjngVIcK6JEEseSKBHEsSRJBIkRhdY2glyVWFJv3SWLVJos8j1D4CdUg5hGdcjsZJd+1Odrz1k+/vUJHn1+kinf46qtls3Tko0zPlvmJNs2hly0dYVnj/f57DfmmFCauQlBsy5o1iJavYQvPFyh4buyA2OhP9S89fYhn3/E1cS0uob5Fc22DQ3e/rIuj+7vsO+QTz2IUVI4kJsag9Bp/b/7mhaXbp7nY/e2eejFSU6uVNnUFExULDXfUNEG38MRSupCOSaHrPzIpFLNmGKFi1OgO4KAKBFESQrsRDCIHWt3E1zME4bUqz2+//XL/MDr2txwacLGKY/eoE6rE6TumMcwKq6Zu1aawVByoXVwQ2gf+tUbbr7VDPorH6xUp76zAb68vMrJ+S4msT/yx395/3/40pe+MhP3V/C0AlFoQll6rYXFF4KO0vS8OqfbAWcfqfHIc13+/OoO73hNnzfcPmB60iccBgxjjzDyiGJNlJ60OFHESZqwSQqAG5sytylqyrL6FiVdHYfWBt9LCPyIahDSqPZJ6PPVJyV/cs8kzx+bQEQBu6Ysmycts5OKuWmfTbOSLXMROza1ObXQ4X2fqxMPq2zbJphsaJp1aNYihBfS7teZbFiEcNnZKJZMB4rYxHQin04vYaWtOLNQ5YqLGvzU317lN/404MRCHa2i9MbQxHGFQSjZNBNww8Vtrr6oywsnzvDxr1e5+4lJzraq1ANFw4e6Z/G1xVO4gF1muYXiYQBr3E2XGEFiIU6E888TQZi4JFE/EfQT6MeWOI4x0ZCZSp83vnaVd722wyuuipioeoRRnZVWwDDyiSKPYaQdsCNNGLsVN84Ta5IkXKIz//kNq+c6/2Fy4x1xMjj2R6GZoVr76+sQ+msFeL/f56LN9bd98WuP/de//MsvN3udFs2aQgjwhOuyyZjEyQOLTt0LPzFUlKCnfHqxZn5Y4S8fqXPf8z1u/kqXf/R9HS7f0WbDpKJZ04SRTxh7xHEB8iQDuJEYK11G1Io8/e6Y26RpfoPWMYEf46mQdj9ioR3xnz5V4dj8FE/um8Qan5mqYMOsZXZCMNNUzEx6bJyRbJqJ2TrXY2ZyhS89ZXjixUmu3iaYakgaNUmzZqhXQ4Q3JAg0Wrmfby0kiaQ/1PQHEbERdPqGTtey3PY4v9Tktsu63HrFKh/7SoXqskJLF4cZq4kTnzByPZ6zkxVu3NPlxou7PPaqs5xYkHzk7knmV2ucXgrwlaTuCfxMhsn0/EOa8kylCo7JYyuIDURGMExgEENoLCQxxBFSDdky1efqne563HR5QrOqieOUsSOfKNYpASnCsLAlo1g69k4kcewcHd+TDPsd9j/39Zmtexr/dXbLLStJ1PvsXycm/9oA/vwLB9iyZZP6yB9/7OKnnj3Q9OwqMxMaUYrilRQkKbALcAvncceWIBHUlKCvBT0d0E88lsIqdz8xwYMv9qkHQ/7em1psm4nZtaXPbVd20MK1iAnh5IrLSrpaaWtLzI1LICnhPHNLDDLmhWOSx/dr7nq0wQsnG4RxjYZWzFUt03XLVM06H7ypmZ7QzEwKNk3HbJnrs3luhfueH/L+uzaweVIz14RmXdGsCxq1mGow5MGDikGo8eoOVNYKwlhS0YrrLu3zyHOTrvCpn7Da9lhcDbiwOMVPvfkCpxeXeOTpOTwJiAgDxCmAhqGk29dMNSpMNuvcemmPV13d4wdfvcD+U4bPP1rh0f1VDh6tEwvNcKjoRQolJEKIscAzzQlYQ2ws1hg8kTDhh1SIuPX6Lrs3D9g2G/HuNwyp+pJ61SMMa7Q6TobEsUoJRxVee6yIIgfqrCQiTlxBmEnrjMKoyuJqxMkLDzfnNi1d/Lo3vkOdPX042bLt4u8cgO/bt48tmzf4jzz62I9FUfRb7dYS0xN+6lykkXuq92JpUUog41QDJxYVgycFvrEEsaWSCGo6ZZHEo5949JIKnU7Cf/jYFDaO2Dg34IodA2YmYt7xmj47NoREkUj1toQSc5OvGgYhBZ+8t8qzR+oIrTlxtsaZCzUqVcVEIJisW5oVQ7MCjapgoqZoNhRTDc3MJMxOxmycGbB1Q5vErvLJbzTpd+tcss3SrCkaNUmjamhUYjwv5EuPVBj2JN4GV4aQSZR6VfHGm/vc/5ShO5R0+wntnma1ozm/VOPy3Q3e8Yo2T75Q48RyAyUNEKV62SNKnJs0CCXdgabV9WlUa9SrQy7fNuCWywacmm9x/Nwq2kt45qjmz79eQyjlwC3k6EW0BjBgLVGYsHNjzLte02e2mXDZTsvGGUhij2HYII49VtoecaSIkmIFjaL0OVZpTJQVshXgjpNSbGQF1kCUKML2CpMz0W89/9wTvdmNuz908OC+8NJLL//OAPjZM6dZXlq49NTp0+995pknZMWXeMoFlUkexLjXSpI+W/fLSqcTo8TiJRArQZBYKsb9eWgsYSIYGskwkYTGIzKw0G3y9WcNloTPPOpGNmBNemRZvNQiE2lFopBIpYgjjTQaT0saAeyes9Q9Qy0w1AKoBYJ6VdKoOjk00ZBMNWFmImZuasiWuQ4JK/ynv6jwwHMb2DMDU7WUvWuSRjWmVg2p1/pUqzUCJVEy1eC4Gz2KPAZ9QX+Y0BkqugNDp29cy1zd5/SFCV5+xZCfeecFfvvPNSdXA4QwWBthEksUe4SRZDB0ZayNvqZe8alVK9SCGpUgolENueGSEN+LuOmSmHe/todWcZoEMghhR0V5KumMkQghCTwF+AyGmqUV7ep2kizmSY9YFjFQSWNHGaDjAtgZuJOEkhFA6oBZHn7kCdkbqvduavW/MRwOnv/rwOb/Z4B//aufYWJCVY8fP3znscOHRaPmuQg89VQT4+ynJElBrgRJYlEKdJJ5saDT6D27EeJEEBtbRPbG6UN3CEIjia0kMZrIBCSp7VV+5FnK1K3REjwFlaqloi0VlRB4EGio+JZqIKj6klpVUqtoB/C6YLJhmG7GzEwO2TDdZcuGJd5/l+Gjd29k+6RitmFo1hWNmqJeg1o1oVGNOLdkOHIuoOK7GxqySj/BINTs3mTYNDugPfDpD2zK4pLVjqZRrdCoTfLu185z9Nx5fv+zW9FSYzEkJiE2lijWDENFP3RFUb2KpDbQVAOPapDQ6rgYw/cSlzDzErR0jRJSunS+SA/SCk4QKcgFLZNWWZo0KEwkxkhiU8Q7DrhZgC9IktTNSoqMaWJELk3i1Lp1rx3Yoxii2BVzPfb402LXRZ07d+zYdeRjf/YX/R941/d+ewEule/PLyz+/MryhZ9XYiDrVckwTBk6BXOcjAFdgTYiT8Rolf7SWfIh+7uG0mGLNHtaKee8XJEHSmXNDaOOjZbGaX7lVgxPCTxtnW+sBZVAUvEl1UBRrSgaVUmjZpmoJ0w2YqabQ2aneuzYuMSjB4d87N4tTFUCNjYMzZpw4K5K6hVDvRLTqA159AA8s7/GxXM21b1F2rw/VNx0meWSHX0ee36S3tDSHyR0+zoFuUetUqVameT7X7nMMwfneWTfJrAKYxJXDhtb4sjm9ST9oaY2sFQriopvCHyPwE8ItEHrBE+bvN4nK2yTwoJwxckZLRTBuSshNpkjZTLWLVmxKbDjHMSyBOQysB2YM5cmSa1Il021adbU0m93pX/23P/dqNf9eqP+K0D4bQN4EnVlGPb/9b1f+ZOf7XfO+hXfy/WuUiJNulhU7JpjY2lIVJFcSJRFZ8xuRHoTZLUiNtfwic0ybxaTZuKyZIW1llLmfWTFzW3JNKGjZJqxVJSKtlz2L/AVlUBRDQS1qqBRtTRrCRP1mMnGkJmJPlvmVnjkQJ9//YcbOXl6kotmDZM1aFYV9aqiXoF6JaFaifC9Aa2BRUmFpyxSFt/MMZokin2a1YhebOildda9QUKnJ2lVFbVOQCVosGtTxC//WIt/9WHJw/s2YlEYa0gSQ5zEhLEhjBSDUNEPJNWhouJLAt8S+IpAGzzP+f1aWQdw5QCuUpkihB1t0E1T+9ZmWtkBPUkBn5ji2V0zmZcA5AA3In2f/c4FkcVJyXOPDVFsiCJDnMDhI6d9I2v//Kd/8ke8Vqf3SxON2n93b+d/N8CtWcbawa+0L3zhn/j2YGV6QtPrGxAybVBwoIpiQZLqcZU4EJsc1BnYC5CXgW1yjxascS1sSVoCWj4YA3gquws7UjhwK+VWC522onlaEvhuAFAlcCMZqoGlXjE0agnNWsREI2S62WfL3CqP7O/xrz40y4GT0+ycdg5Loyqp16Rj76qlVkmoVSKiJOSPv9JAKoUnLUoUNqGx2RLu8Xdfv8KXnwjphAG9FODdvqLTVbQCTcUPCLwml22P+Xf/YIl/+SHBQ89vxFhJYlxa3YEjrfqruHLXIBBUPEHgOzvO1zbP2GplkMqmHVLWNUpkAC9SnkBKIrhcgnNb0kA+A3A6dcCUNHWSsXQOcnLWLtjbpquQKxWIYtc6OAwN3aHggcePVbzJ+/6PH/v+14nT851f2Lbhvy/T+d8N8BMnDoA1tw7nH6xKIgK/RpxIDAayTpzYFTLFSWoRKjEK6sRiFDnYTYmh3ev0OYu4UzcmK5YqM3f2yACe1WCovJ5c5HXkDuASz5OufsMXVAI386QWJNSrDtzNeshks8/cZItH9/f41x+c5oUTs2ybEszUS9KkoqlXXP1KtRJTDUI8b8iZpSk8JVDSpLZcEWQmiSSOFZunLHEc0Y4qaaeMoT9I6Awk1Z6i4nv4XgVPT7B3W8y/+/sL/OIfwCMvbiAx0gE8sURxkjK5YRgYKqFk4KtcgnkeeNpJNFen4mxamXnj6fM6GHdyhTQphMiTQyZNDmXZ4iQpfV6WlzmwS6ZDVgOTSq0odg3fYexKAzrdkL/86uPV196+41Yp5beC418vwL9x31dIolrtwx//pH/bpTFK+ggKfYs1CCRSWMecEpJcZwsSmTK1Jgf7KLBtYS+aAtQ2TS9buxbY2UOKoojKNUuIHNxKyrRRIpMnUPEg8A3ViqUaOP1cq0Y0ayGT9T6zUy2eODTgX35giudOzLFlUjFXN0xUBY2KpFZR1KqCasXdHC7VH/LIPkF34FNRpDeZ0+BZE0JiBFGsqVcUt13Z4dEXmvQiJ1P6w4ReX9EJFIGv8D0/1c+TXL7d8Gs/Mc/P/Td4aN8GIiOJjEmbpYsezKEvCXzj2Nsr6ui1yg5SmVLIOJlmedcDeZYUshnAU8AnufNSFHCVV16TGgfFKj1KcJlMiRJDnDYug3OypFrlwDOf9S++9O21L3zxS703v+mN/+MBvrRwnOnZLZP333PX+7ZMilfOL9VpNgxYgRSuURdIRzsU+tcBO72TdbakgVFifdYuAdrkwC6agkm1d34xhCsoEjIFd1pkpHKAu7jA047JfA/XCeSnBVZBQjWVF43qkIlGn6lGm6cPD/mXH5jimeMb2DSpmasZJqpQrwjqVUWtqqjl7J1QCWIatQH3PeOz2qowNVWkyTPAmFSbRoliw4zitdd2ue9x47poQlMCuaTiSSqextM+WleR0nD5dsuv/sQ8P/ffLA8d2EBkNFFaAejKXh2TB5HMqwt9LdE6LcKSAqVFTj7Z98tuwkyqiKwqjSIhNH6Y0rMxped85S2t1rYMcHJnLS4B3aS1QvWKoF4xHDxsXhnUjvzB933v33nPocPHVy+5eNf/WID32mcZ9hZ+Lu4f/oFmsIDnabCOmpQqACeESQEGsUzvblXoMqPKOjsFe5qcydh7JJAcZ+4U6VlGLtfeMqugK3R3VjGoFa4+Q1s8zzUWV3xDxU+oVmJqlYh6ZUijNmB6osWTB4f8/H+b5emjG9kw6bGhljBRsym4U/auSKqBY/9KEFMLQmIzpBMGCCXxMgbPNbhI2S0tEIs86v7AlQuEFaYykA8Ser5j8MCXriZeZxvQWq7aZfmN91zgn/2e4aH9G4mMZpgIwiTVspGgEhkCz+J7rndVp3GHVq5E2LUBuvPkZIoorYDurJYz0Tmjj4E7J6ESMZXBnYG9YPKiwCt317KKxiyNIVxp7vMHLzC0R35g+45njoRh9Iv/QxncJkdBbt25/4nfv1rEJ5meMCQ2LiUIShpYpneodCfTBZapNrMlcKdBis2CSVsEYgVTFFlJW14zM9YuB5XZcpvWuKg0mNI67QxKi5Cy6sGKl6S6OaJaGTLV7DFR7/DIvphfeP8sTx3dyNyEZq6aMFGxNFJwVyvOTszAXQ0SKn5Msx6y77jl3ifr+FLiKZMGcYVHkS3fUaKIjeaOGyIuvqjLkZNV5moUfY7DhN4gZWGt0Lpo4xPCcuVO+LWfXOQX/5vhGy/MMYiqLhkWW2qp9RZ4OJDrbPUyqUSRSJXkK5ySogRwUQI5a/RKAXI7CnBbyMrss/XiqSR9nzO5LSzhDBdZL2mUSJ4/cBbhP3H1z/7sT+x84JnzJ15+7aa/foA//Mx57n9udtesf89/9Dj5tkZlGWFrRIlNawtcdC1Lh5KiuFuVWOOOlJ8LOypdxsddkjVuScrc4+AWFqkyWzCteVEpa2uLrw2eZwg8Q+DHVPyYShBSqwyZnuix0ulx//Pwa3+yiWcPzzKbgnuyamlUBfWKyL1y57wYx96+A3g1GBImCYN+hYpyN5kUpaWfjAxEGmhqp+X10HWmR6IEcIPvJ/iexvMkWqm8VzXLQl6zW/Br71nhP/xpzEP7ZzjbajKoSyYTSyO2VNKJA4FnU+8/c1Jszt6ZVMkAnn/f9EuXcZ4rxPSiFCtrqfy2DPbSZ9l1dnKl1Ihiy9rdjmj4KBYsLvWpnVt42/4X701ed/u1/4e1x48L8VeTKn9lgC9cOEngL9/y1QOH75xVL3LdxZNEsaNsKdJkgHTPKrePRB5RFx4quc3kkjR29LUd1XujrD2qCrOL4MY9ZOxt80rFYjiQK4v1tEnHTCQ5uAM/Bfd0l4WVPr/6xzU++/Aci90p5iYkc5UU3BWnC2tpYFkNJLXApgzutHclCIGQe572WYl8ZgJG6rERoytUkrjmh2agec31PR45ENKJAibyjnWDP3S16r52ANfKoqSHkC5Bg4W92yW//Y/afP6RPr/ywY2cXpyiP6mZ9AWN2FCLIYjc6GVfuTjJywLNbKBS6bkcqJdvTCHyXpGCxfNrVQJ7ye0yJalZMHlZq6eFXnnirvy5K9eNjKaz+jyiN3nnysLsH/f73eN/rQze7/epVCqXPP74o/+4s3CCuU0b6A1d9ktJgxQO0OXMl8rkRyk5kEfb5edcgtgRaTLC2mVZkp7ojFmydHPmAqgM4MqipQO2Vg7cnk7wvQTfi6n4EYEf0aj20brHfc8k/MEXmtz1wAZC02RDUzBbcbLEWYCZT67SQ6TMXWbvCK2HPPjiJL1Qs7mWfZ9xBs+sNEkUKyqe4tbL+8TGAbwfCde1nnWuD40LDrVIWdzdyCJNrlsEs5OCH3h1l0Zwlg9+oc/9L85wPqrSq0iasWsTDCLwdRqHKJvGJZnTlZ1DUdSOS5AULF7eUbB8SXI2H1t5y3GUq8tnlNHHAJ3/vdRvz8qKGoGlJup84/7jNJvdf3zzLbc+1e/3D1Wr1f/vAF9aOMUjD91Lrd7ccuHckVdtmeww06wyGEZ5Rsxad5JMCnCba2sxCub0s+wCj2htCq1dALtkPZTtK2HHpEmWlXMVg260m0lrvlNwK1eLEXgRvh9R8UJqtQG+3+NP7tb8+h9t4MjCNF5QYVNDMB0kNANLPYB62mFfDVy2s5ImhFz9SpKuBE6eLLYTuqGPrxS+tHmASelXyW7sJK3ZCGOPqjdg02Sf1V6DfiTScWsuVvC8JLX5VGp3qnRuTDlwdZWPb3tFl5uuWODXPjLgo1+aYzmu0ws86p6kqV0NTqDBV+TNEDpL+qQrn8ylSpEAKpPKqFhZj81ZB+yUtPnYYcpuTBGTkdaCVX3odj2eeKHF5m0vvmoYxVtaq61DR4+d5KLdO/6/MnjCLbfevOvsqYPvP7H/RaYmHHBcjYcbT5CBMTvRGVOP1jJk2bAC5Lb0y1jK4C6VupYeIv2NCzvQFro7m6EiDXKEuZMU5DG+dpIk8IcEXp/jF2J+//N1Pv2NGY5emKJZ85iuwFSQ0AhsmnrPwC1TcMs8KVRJtXfguxunWR/yqQc1h05UqaQTuPJ2MQqU52McbFqcFGv27oS33NThD744Q7emaaazR4IwjRuUQetswhclkHslWnWrwo5ZyS/8cI+rd5/mv901zdHzEyzHVXqepq4EtRTovrTuxkldpnz1y85rZh/i9HmR6bRrffJspc1KJ3LffB1b0YwCPMNB9vdNKTEvhFNisbH0Qrj/4Re46OLL3n/Tzbe+abXV+ZZS5ZsCfKXTY7JeZf7sg9vM4Kk9cxPnUNJD6yQv2hlZtuwoqDNGzmsZrMh94OyGKLN3uV/TpheMjLHLv3DeGWRzcMsU3M41ydjbzVvROibQMUEwxNdDOknIez/h88HPb+LM0iRGVZmeUEz7lgnfUEuZu5an72Vap5JKk9Q7z8Htu+zlMAo5dDqgGwZMBamLkyWdMlciy8LaUk1KpGnWNbu3hahgQCds0PcF1ciNRPNTeeWlEkVnrodQLxG8KuYmevzU23rcecd5Pvj5Nr//yRkW+3X6ukJFK2paUFWu/t5Pu32UFGl2k3Q1tOszOaNyJQf3emzOGLhLpFaWJAXAR8lNkGl0wTBWLBxp8cX79+2JhL/tza++6bi1PYR46em13xTgq8uL9HsTc8ur+hOH93/Vu2KHT28YA4X2Ld/JI6AtsbkDtRz73AHYjDC2wK77TWzJDrQ5sEfkiUyr5FTiAK4TtErwvYiKH+J7Ia1ByIPPSv7k7iaf/MYMg6SB7/vM+IJJ31D3LbXAUvMLcFcCSRBIglSauMRQ6kykAPc9l/k8ds5y/xM1wsgjqNs1AWb2KNLZrhQ1jBSep3ntTR0+9tUuB07X6VfcaIahZ/Fj8CKDFxqUks63lm4gaT7chwI8iZHERlILNBsn+/yz7+9x+Y4hH727weP7Jljo1xkoH8/TVLSgKiHIBixl9qq0eU1RAfLRmpXx4qzSU05QZgzoxq73XK4ILf5udiPJRDBIf9jqMOCpgw96P/auaz9hopVrV9vthf9uBt+5vSnnzxy+ZfHU1ycu3jKgElikTNzc7jEk2nz5LcmQEmvb9P3IjZABO71zyww+UvjjenQck+cpZZOXezrdbdHKTcZSKsnliNYRrW7EA88L/vCLTe5+coLlVgNZrdCoKiY9S9M31DxLzbdUfVLWdsxdDSQVX1HxBRWftELPpOA2BJ7T30oPOXgazrQqLrGS6tvRxElRP+P6INNaaSMJQ83GpuCS7X2eOxnTizyG6YxvP8SBT2WTdbNEDcixzpzs5slsyChx9eHvem2fN9y8wtee6vDhLzV5fF+TpU6NlvTp+hpfCXwpCCSuh1O6XeqUKG5SJdKyX9Yy+Jr6FWCNLk8BX8jS0ZJnm4LcrLlZ3L+eWOjEgqcOSz78Zw9OvPl7/Fv27Lnki+np/H8P8LB7MmhUu7+3a+7Zui8liBCl4lxi5IxrwVo5At6cvUssnoE8vxFKy9GIJMnPWlmaWMoF+k6WmFRzGzcNSyb4mZshIxY6Mfc9ofnCAw0+e/8E8+06olLBa3g0NUx4rpOn6pHKDqj6Ij1kWnKa6m5fEGTsnQFcx/h+TMUPsTbinicDTpyrMjst8KRJdawoGn2L+7UoP00lRX/osXOj4LXX9/j0wyHdyKMfCSqexY8diw8jW1qlVO5XI+SITMm2VcwbFYzz26vBkHe9us/33LTEZ77R4fMP1Ljv2QbzrRp94dP3NdpTaCHwpMCTEk/YVGpZFKIkDUftw7FfL/0uxU2XPVvEiNY2FpL0s6QEcEMhVzJmT6ybTDboBPz5PSfqt98e/t6pM6cuB/r/XQD/+kOPokSLHfWjbNyiiIaKxKh0kI4sMowpWNeCWuSBpWUU6BmY3Wclm6R8z+b2lC0dJrUDDSIFuNYJvo6oVCIGw4QDZ+D4WcXHvzLBFx9vMr9SB6+CbnrUlKThWRraUPUsVQ8qngN3xXMzCV2ZqSwdIv1zm4Lc5CD3PdeeduSs4bljAXheuszbUopejKCgvFzn9dOJG+d81e4hV2zrsv9MjX5FUIsFQWQZKlJrz6TsnbkpmQVZaJXcZ0+tSGNUOn3AYxB6VKtDfvSNQ9562ypffqLLn321xvGzFfafqRGuBsSBZqA1UkmXzgd0+pwxeS5dKIL/NUxedlMoZEi2qmeATsoBZmYvkk0hS6NSCj/RDg39+nmiwdOTe3b+0A8trNo/mJscu8u+FcCj8LDo97v/+D///m/Pfmre54ffOOSGPQMCKZFKkkSKKFTOr7QyBbBMZcgY0McATqnj3eb/V5waIYpnkXWbZKwtTLrLQ0IQuEmqcZJwfgm+8nXNkdNV7n20ypmVKkfO1iEIUDVNRSvq2lLXxrkInhucX/HcuDYH4uyQ6aFSgJNq7hTcXkLgOfZ2N1bIsQXYd7yGJ0ftwVyiUNSDF25C6qSYtK8x9rhiZ59LNvR4/mhML/ZoRIKhBj92MwFVCeBSCoSUI0yeMWXhL4s8mM36KKPEY+j5NKshf/f1Q15xdZszK23ueczn6KmALz9Z4+xShaTvYaQm8hVCSrdSpF35kjTjCblsyQhp3FnJZFnGxuTPJh8nR/re/QcpoEnSBlYLcYJQMVLH3Lx3wA++sUVv9bHJductP6PV4INjP/ZbA/zfve9hkjj5gc/dY+v7j27k3if6XLl7wKtuGHDF7pgtUxF7dg1QVhKHMh/Ta4wqJAqyYPgU5OTP2U8qB5ZZIseOMXdJiqgEL0iIEsvRU4Lnjiq+8miN54/5vHisSnsYMAwD8HxU0yNQgpqCmjZUSz5woLM6jaxs1tWFB6ks8X2F78v0BrCF9vYSl1n0nM6v+BHWhFxYlgxtgNYSX1p0yWYbI/Ac5Ikd7XcMYw+BZm46RKoB3cijp4VzOqKiYEwrM5KBlJlJDZANO0JgjSyYvDQYyUtUPn6iN/TZNBWyY2PEDRcN6Yd9/t6xFs8f9/nKIxWeO1bh6MkKUawgUFipQEgSWcoG5fT9ElqlnOHKGS2rqioB2maFKOkRG7RN2LM7ZOtUxN7dEXfcMOCqXQkXbYb9J4/jdT+BlC8tRNb9k/bZz7D/eE/90n89KvadmqBvIp4+VuXZo0O+/GjIhBezY2vIVXuHvOHGIa++PgTrahyq9ZSdrQTjmk7dNtsuVMwZnLUnQwj3Cwvp6kYQBiEtUWjpDRyjHz8t+dO7A3qR4ukXKxw+FbDY9RkmPmgflIdqKnwpqCqoKUtF4caZqbTwSDnW9j3hkh5lcHsSP5UlgQ+BT+qauJS5pw2+F6cZ0YhqJWR+JeErDzVodQKmJgQ69eKzoi+xzupp8+sp8qzmcKiYnVG84bYBX368z8lWnb4nnUzR4MUWL8o869Rjl4mzCynPOpH5zzBWl36GA7qfKBKtiL107EPkOSvVi6j7Ea+4KubWy4e8/VUDDp6SPLPPox8qPvqVGsfOeyAkvb4mCVVWvonVGcDHLKMM4CNpaZO/FrFBGIvFCfJq3SXkBIbXXD/k9TcOufKykJ1bE5paMFt3jeaDMGD7XEC7e0o8fPRm9Tsf/FL8j//+2nrxdQEeJ7BnW/W9ldryNTEgfB/raUzis9APWejEHFuOeeiFhD//asTsVIw1husvDXnX6wausSGGucmE664KqVeKm1SM1JOMnoVsOE+rJ3jmWc1SW1KtSB7d5/G5b1QYRIpBpDh33scITWQ9jPBAa0Sg0VLiK0FFWiopsANlCZR1NeA69Xx1wdx+1peZg1ulPZoiZ2/fM/h+VqCV5Ozt+xFKhXz9KcWnH26gfO3sthH9/dIMnnnhRTe6YjDweOvtfT77YJuP3jNBN65QT3W4l+nwKEvK2LxbSAiZA8z9KFnS+iWAm3RGiXZM7mlFrDU6ThzQVYJSbpD+VCXm9stibrsswooh73h1j0Hk6kP+8hsBj+3zqQaCxbbimed92j2ZqiSx7hUukgBOltQrluuuHTI7mbgCrMTyrtcNuPaSCGsEc5OG6UlQKKz1SRJFp+/G9iVGY0zCsbOL13SGE+/Vyv7UX4nBF5baTE03mn/yFx+/7NDZSHnCUlGS0CoiKTFKg0kwJmZoYs63Es6vGrAJB08aPvd1t7xYY5mYSrjl6pBG1ZVQrpueLN/mqeuw2lU8/pxPu6WQWrqZKFY7ZhIaNxdYg9RIKfGkcGCWlkAafOmA4CvwVTGjz4FcFA0P2jUCZI3HZXA7hk/Lar2MwZPSERPoCGtDziz6hMMKwYTET9PeSpD7yHkWU+TXdyQfkHenG0UYeUw1FNtnQ3wxoB8H9GNBVbshmFkNSZbQUrJc3irzn+V+hkyTP6bInhqT9kwW0iiOkzRvoNL9j2KiOEFFLpegVYKUMdtmTbpiGC7fMSC0faQ2tFqCx5/TrPYkKlcso0F1mcyxrvmhXrHcek3ExKTFJu5cVKVACacCEuO7WC8bU2E0caKJY4WxEkjYPNNVU5sWLrv1th9uvueHWm3ljc41XAvwhUVWV1d+46v3nX31YDFmc025edFGMDDQTzSRVBjjgU1cT5I1QEJsDS2TTkiSlvaK5dzXy87oegAv67f04giBybZcIK05FaoIcqRMrawM1GnaWZJu3Jr5xqVnnXbSK9Kt98jB7dq6FH4Kbl+Tl5g6Bk9ZXBv8NDvqeRFBEHFq0fCRL9dB+246lywleEbAN0pkGbtmQ0Id2NxgnTDyePcb+nzmvj4vXmjQTTxqsduU1lUB2qITR2U5gXKwl5UuZlJIlgq8ssPktTBaK7zEzUvxUqArWSTNXN14+lqYdHBQghYWYRNma4a/9XIDIkllJiCy/TPs2uudQ0JgjcbEWbwmiCNJZLMxFS6mK5+fONF5sJwkEhELJoIzr24tn/4NY5N/+C0Z/Ctf/RpKSj/qnmfLhKUbGQaR2zlLJ+AJGBhBKASxlRip0yg4DRBUOWiwJF4Z2Hbs9y1deSHI91grBS9CyrwFTQn38z1pCYSrFvSke68laU1F2j2eFRJpSnNQSHdmK7rqC4DLXLYEvs1b2nzflAbnxHgpe/s6QsqQE+cFC+0KQmsCyYg8ydPzJQttxFEoFZ4VgaCb8TfTHLJzU5/954f0E80ggSAReInFi1MdHpM7S8VpVCOdCllM5ybt2qJ0OZdGBp0YEiVROtu+XKXFakm6X1JxCGlQKchF9rMxY1auzYGeOWDFzZ0XO7tnW8qppN+z8PEFxjpbOlvhstFwbuiR2568d2GVU4tfd7v3fiuAz58/48DEkEZVYEU5TQ7KgGdgmE4hjWxaDovEyMzDpCRHCt217kMIt6xmS3luQWWeK2gBnrB4IgVtKgGy1/lnKdkXpaDkDba+Eg7sI+CW7tnPgJ4Fnym4s+4fbXKJ4mmnT30/Iibi8w9WubBQxZtQ+OUajrKDwpgiHSk+EmNBoGIwdBNs3/yyLg8+O6AdV+hpTTU2hGk6XcmiICorOBPCUHQOZYGmyG1JZx2mM1UsaROKQBtBrAQ6kekudq6WJ06BXiTTTJ5gk9KUEm9mJAlXWLslj+wlAu2RMo1ctskC7KVkVUYAboKtojfQdHoeS+2YZPn0uvAaAfhn77qbaqX68vu/8cBNTpcJPGWJFHjGYlW2Uaq7kImEOLO7rHttsvqDUsZqXVxnR5YsEKCyZ2HRkFttKk0Zu/kmhcbNJtS6Z5GPQigDO5+DonD9iOsBPAs4M92tM1liU709WkvuexG+F3K+ZXjycBW0j07liZZ2tH6DURbP2CsfWJT51bbQxW6Qpcf1Fw+ZmezTWqnRixU1BV7sfheVpINLozLAXS9sUeEgxyo1Rdo3mbKjMiRG4BlBoiSJMm6GTQrycvFaVg4hM5BnoC5NyBI4Vi9KmnOeXlu7ki/oowC3pax4eaKWyTOyKh2aVMyEt8YwMenfdP2Nt7/82afueeCa61+zPsB9bZEi/FvVQFyHjfO7Kxvio9NuUGkc4DJWSLLi9YwxYATca4KMMYBnN02ZubORa6oE8oyxdFYbkdaAZ6Werrk461RxskTl3SsFsLPmW8feqebW5Ho7swQdYxfg9vLqxAhBxF3fCHjw+QYy0PhSuPnbeQVh0UZXVPyNZzPLNfPZRXTZ4v7A47Yr+7zlFR1+/64GYRLQTSSVxDq5KItqxVymSJmyePlHvRSTg9EybQQWObgTJVHKOEaXMh0tYUqlyOUaIFuAfB0GL2TTWHlg5qOVlUsO9ixXkm09U5qqlYI86yXIen/7gxirzXWLy/2/lcTxA+syeLd1Gj+ov+HI/q/98OLmszzxAqx0ikKYbKs9cFVmyo52Zawpjywj+yUKczJwZwCQJVBIipqH8miDjLndFiTZe1IGJ2/DGmHxtBvGU6PgduMUxpg77dn00/Y2T2cNB3HpiAiJ+LN7miQ2QOXZy3KAWfQ1Zs7GiAZnrF3PSDdKI8mCTY3A412v6fHHnx+yaiL6SYV+IvBichaX0roBS2nRmbMLx7WoLFmTogRyQaJt0TOrDIm2KOPkSqIsKnEVjC57LPPS5MKiLFd3FmXMeVNKCegvvZ6Xiu1SjT5e9pHXz6elH1KApwzTzZDVjuGLD50l1Ht++F1vf+29h4+e+fLFF20dBbinemDlxdvmTux5Vu/jxfPbCbs+E4HN4z6Zxn55nx1FoFTUHtjCJRhDtSCNN0pxZSZPcqCPlWfmWnxMc2agL8/2UEoUWjytuBsZdpMCWytROCm5Heg67l1jsk2ZuwgwdYm9Ay/kycOSQ2crWOWhpMSXBj1ep1ES4OMuSnbkHU8jPawO5FHssWdLxBUXdXn4YJVI+fRjQUWCl1h0LFL5lnbhxKkORzq5MAagkfr8XBplA3syd8XVuyTZ7PZU+hXgzmqBbFomkDE5+eohSuDOtq7Jv8V6WjwDiLVFtrvE6HlJrSnALoTF8xIa1RAv6PDhLy/y4pGr9rR7w4tbvfDLaxj80RdWqVVCvvqg4Pf/YobFJZ/ZwJ2AnFGlYwE5wtSjjcIjd+Tae7TE3KXXZaCXwK3ymu/Cdiski3Dd86IAtwsyRd4trnNwyxGAl4f/uG57cmDn2cqcuRN87RI7risowhLx5/fUWFqqIgLtfPfyTTheg1JeukrnKusyL9dx58GUUUSRZnZa8s7XdnjycJNhUqGnfKqJ0+JZOauSpODO1gqTeuKlrCFyRPM6oNjSDVae5CtRJluRbP7aAVymv6fJ2+ayLn8hZNEcMQLyomguPxVj+7+O1iaJAk/lStS8fyBb8V0cs2Va8Es/0sbW5ql783iNXv7v5gB/7/s/j9aSY2daDFYnmau4eo3RHbpGL1AZ1GVJYtdZjsoXudDeY89lQJdZfGS8WMHYsszgSpRYPJMrEqVHAe7rdACQl20dmGY4tcXLU/EmfZ2MHFq5zp0XT8An7m4wlD5KqjR7OXojjmcw197u2YVlTIenWjz1fINE887XD/jDL/Z49miVSHn0pMRPTOoeCWRiS+fJuvYyUV5Ds7bC0X2LykyeGNC5heim/qq0JEAlthjWmc9lEfkNHY/p8aKOaLQTaBTgazEyXoBX7hEoZuOI4gYxMAw11tTZOB0QJic5+vwngWQU4PMXzjK3YXPtF3/5d3efPrvAhobJ70aZLSuiuCDZJRtl7DXfdxTgYvR1fmePsff6EkXkwBkfhyxLjJ0FmdnUJq2zTV5T7a3GwJ2l772sMdm4mSF5i1jW0xmnR4TyQg6d0XRCH5RO5YkdK48dv3FHET460GjMC0+7cYrEj6buCS7bOuDZQyGJCegbn0riarZ1qsGVcAMsRbrZl8iBnTVEZEye2XBZnyzofLCp+0wZ55BpQ9pBZJ2xkDYkZ9O1kqy7PzcAiuBSSDuCnXEtvp5UYYxEKQGcMvhzHLlzFkYulW8R1Cdnd9/wyn9YO3/up3ubNm90AD949BxnL7Rev23L7M89/NizNAKZS4/1WMddpBJdi7V/jh0DdYm9C5A72VMGQgHsoo9RlVhRjQzVzEBOUSOtSqDOX6dJHkXqhTtwOwAXQ4G8sjwps7dK+zr9kOWO4b/8RYOlfgUReE6eSDuyqhSDc9avyBgBOq5s1mZN2jmDp4mNWNOsaX76ezt87ckmS0OfUGr6UuKnPZTFyIeUwbOKn1QXZ2W0FpOC2+SZw8JZESmD2zxIz8CupEgZ3Kb2cOaikMuUQocX7YSFTMkCz+x8FJ/bEjbK2LHrnKvS7bHm77rzFjO5afbnzp3e/0Ac9T8DKYPf9/CLBIHPwUMnUCIhCJQbu5be4fliZ9eC+Js+yoAuvx9jt8JFESPB7KhEGR1MkwNbCqQqxo+pEqi1lOhUkugc4JnmNnlQ6WmTg9vTWf3FKHt7KsL3Qz5+j8cLR6ogPaSUBFlpbMnazPeIT3/Jl6wmpGDzfKeKkkyJjWs5i2OPq/b0eNsr2vzhFysYHdCXPoEUedJHSUGUB3RrmVyUmXyNrk2BrkBZtyoY62bbZLMdHasLirESxSyaYjKtc9iEHAV45oiViY0RwK85O2XUjBJpWbLkwM5mPYZ0Vk9QCSCO3cYQGmDTtE8QBLSmfC40JEIKwshVFSbCFp62HSHsb47t0u1ZgFrkf+a2zhDrsncRWIqCzXOG/FYAlwXAVamGWqd1KR65FPFU4ZZ4peFAheZ27O1pN7VqpWX4y683WGwFUEndE1EKxl5ComS/5/j1W9e2yyxDIzFJ5qZoppqKv/3qHp99cMBSNyBUmn4iU3tSpO6NKJqxZcGWGbCtLbp+TM7mReOvzpwVlb5Oh6aadPx1dt7LIBdSlLrvsyGeqe6Wo/q7DG5X3lvmwjJY1veXc5u15EDFaUl2GEn6A49qp0al2SCKUoCfO3OEiYmpXc8+++TPnDy8zMaZKp2+wdok10GidEH+KmydA/ybMXf2C+bAFt9UoogRYI/O/i53uLjh7oyCO9vZIGNuVWLuNQyejZsoRk5o5TKXx44LDp6oYAgQUufNuUX1YDl+ECVXozgh5VqUgslLXm8+PF4W7WaJBqvZuzNkz+YBS/ur2MR3LJ44maJLLk4R3JULvbIaIVlakVM2t4VPbqTIrcNybKOMu2mMJNXeaUJLFmSUg9sIp7+lyOVJMQaucHsKu9iOlFGL9Za8cX6wxfi7KJb0BoqlluTMMxe4Kbj0Z66/4banX9x/6LiWIiaK+5sa1egNs80l+jMV+mfDHJwZ6LBO54//6DXd1esBO2eysjRJF80R5hZj8kSUnAlRCjYLQDsGJx0FXPbBy0e6pbUqg7sE8nS/ei8tDc3YW6XvtY5QKuLzDzc4tFgFv5AnXsm6XCu54Jstd6MjiMtJjdLuZlkZbai5aDbkzbf1eOzFGhiPOHFa3EvS7G4yKpVyYJXX9zTwdGPVRn1ma0VaTyRcv0rG4tIBX0qnv1X+GqTJVlibE9OIVKGQnqzpys+CzdHRduUgdM3pK5kd5XHaSQJLLcGBYxe45Ir4DYPBYNMwTI7rRm2A0h7bN65yyc4zPHVoI/OrGinI06Ejd9s4W499kVIhW+kXGRtzXHqdFVeVtXYhU0ReBjoO7JzNlSg14ZbAnc4nLLbtYC2wdTEgKB/xpk0K8tjJExVRrYU8fEDxma/X6Q98qGm0FHhiVJqMf//Rc7A+E43o7zHLsOyLR7FmoqF5+x0Dvvhgj0cP+Ni6Rz8J8AX5jabyn1/o4NFwzoHcjsDJFDeYcmyeSKfHTYm1s6DeyCyoFCX9LUqBbkpSRuSJnmwVk2WpghgLPhkB/Eg4OYa5rIhLCueCbZgxdMMhdz3S48RizDWhodVL0CcvxNSqMYePJvyXz1mefNGypW5oVJ3HmrFp9sMF3wz0ovQlRwE9+l6Msl1JjpRf51JEFKCWqrR7gxJpbUoB7gLkWdmsRetihLJON2HSahToXs7W7lDKBZi+HxKFCV98qMaLJ2vgeQipUlClc0NKwaWQYzcyo+cuQ3bO2lmirJTJNCP10IVdGIaay3fEvPFlXZ45XmUY+yTSo28UfsLYd8m8cMYY3D3bse+Cym42g1EClWUTpcAql9zL9Hi+okqQpjTL0FBi77UdTWvIjUzK2TVEUGbwMt6KwNn9d84aNjRqIXt3LREEK+za1WaiMkRN9tF/9Kd3U68onjnS5suPbGVjQ5DYhDhd7nT2Q2TZrxZrvsxLae3y8jP6i4oRgI8Hl6MBZrEDQSFNSlZhztgZwIvJqblESZnbMbbNmVrnz8VrLw0utYoI/JDnTwi+/GCNXt+HuocUWeUgJXtwnSxm9ruNra9ZLUqm+0YHyY8lfEoFWGHk0WiEvPH2IZ+9b8AzRwPQPgMj8VMtrgyoJANa+h2SQh6QlMFeANtat/Ll0kU6Ns9WlSzIN2kmW5oi0SZM2U1JV90y2LNYS47GBWux8q0+t6Uh/dZZxiKdlSkt1ga87WUNjlx4hpMnpna9/BVveVwHwTGqVVAaBJKaV2y5MWLTZctv9kPFeneXGF1qxjT36N0r1gAhlyMiCyrHGdzp7XI2U6m0wjCtKHTtXOlrXZ4PPgbu9PCyKbRpgb9WsTt0hOdFxDbhrgeq3P98FSoapGto9kolvCOlseWj/GY9iWJHtaTNRgaX5qknRo4AfTjweNVVPd788h4vnKgQxx5WKPpC4yXk30kkBYsXX2F9Ji9+vkWpjLkdm7v3bkODTIfnfn/G6BkpZaCWhcTMYzhhkUaMAnYsGB5h7PRzyhhx/wxWZCOp7Yi9Ogw9RANOXDjL9Rft/r+AB/SffV0hJfT6lukqVNOu8ww4BUOVviylgTZl0I7IkbXbixRLkmPwYkkXIydEjAN7RKqU0/SlQ42BW5UOXWyCmgHaK4E6c06cY+KelYrwvYinj0s+cU8D8EF6CKHyLiKVbqRazrqOrnD5YjoGMEYK0grmLmlwKzCJa91zboHK0/fWat71mj5feWjA40fcJIHIKHqJSAu+UtAlKWuX64CK28uJF2sdizMatKWqxWU4ZbqfTxYUm1JmOatVsgWoHdBHwZ4TV0lDj6/e2TkaVwmZrZzvFi3SWzN9HyduvuNAaVrdCi+7aojt/tt/fPBRTuuarIOQ+H6IVD3qgSv+z3cAUKXsoRjXzuXlw33DzBkpf1ZIFJE7C+O6uzgJotBwmbbLmKO0muQgT1vTis2m3M4OxQD8AtwjrF16zhprM6miVIznxURJzL2PVnnucBU8D6QLLn1hS5Njy4HV2Ko0AqhRaNnSi7wBolQjMlJdmEiMSh2VxLVqXblnwKtucSzeTxyLD4XPwIBORA4ImWQM6YK5QqK4L1BOSJetSyXBKou0rjTaWheICiuwAqQVhVTJgkpBib3T62pKN/6ILz5uPBTAHlcHQljMmIxVFNKObCyJhSRpMNl0c22MAb171hXIhKFl0HcVeMVQmUyuiBHrTozYPWNbz5U8ztzzFGIE5IUvWnzupjSV94gZqz8R5Hvv5LsXZ823Iw0PxdYlSo2BuzQUP3dPVILSJYCnEsXXEYfOCT78xQbDyIOal8oT8tY0Vd4luLyKjYjIl5AodhToZZlS3hzA2PW0uKYeSH7kjT3uur/OgTPu5kuMopcoV2WYpMkfhNPfSTqWY2wlyQrjygCXttDiMtXo0lhseo2sFA7gphQrZUxuCllbJkIpQJi1BFn0A4zjaJ24Lf13jHDgdqXbrioyNoIwlvT6iu6wgtYe1hrURz74XzZOT/i/ee7Mqb0uECvqp1U5Q5hacpkWzj+TYq2UkKP/nVrzd8p7WMrUDUnHAqfjgXPgjh3ZyISyx50/60J3OwdlFNzlvXqKYqp09wcd5c0Mng5JZMgffq7GH395EoIAVAWlNDVlqSqbjqMgb3D2Sq1xRSa1nIiSFJNhGQlQi1iisB2zm1ZI0sbfohdSSYuwhu2bQs4sSp54zicWEoTCCIUQrpR2lFhKK2p5VSmVn+bvbUnU2KLuqJAvpRLpEQ3vigLKJQj58Krxo1QqnM+vzEoIGB+eL8ino61TqJY1ULs+TcVKWzK18cZNG3e+6qu61zo52Qi6b5qbsrS6HsMwITGjgUAeXEpGWXtch+eBlVizFI3KkrIkKWvwdKkrs/ZIHbgdiwtsrr8zSaJK2lvlOz2UNqJSdkySZJWCGXtHeDri4FnJx75Ww81fceydd+7LIhAvjxeW5fPAKAPlb3IAjYHDjNY855t1WZE33horMYkiUakWTzTf/9oen763xr7THsgQKySDxEOT1otk5zrdQZgkS/xkUC1Jp7ThwOJmY2XfTaagkhakdbIl093Sup9hTeqPmzRAHZMU46/XyFnB+oqAYoWUGdNnMsgUNzG4GGYQCs4vhBh/9U1L7WOTeuvG8wRyhQ1TIa1uBZ16y/k9ntuD5bRvOTAYt33KEmV9K3BtULlWv43UgKfJhPI+MoUGL7YKzHZWU2Pgznaj0OnoYa3TYfmZ361ilIxRqTxJVMznHqiz71ChvaWQzvvOO2hY9wIKxt/n3DiiwYvXow3II554aSKVNsLVpsgihR9GmssvHvLWl3c58rGAMFEgNInQ9IVAJ6l9RxboZo6KGOHjPAS2mS4XKJumrnHSxFqbavH0ELZI8Qsw0gHfZDKl5IObEoEZMY6rsVhuPWmS4ihJJU0RxI7OnMlIYn41one6R7MToD/6tSqLC30OvZCwYTLOGwZGf2DhZYqXAvuYBn/JG6K0IqwByThzj7F29j5j7QzsGXPnQFdlJi90t8qCyGyLE2nQshiar1SC50UcPaf43U81GUiPbIJW0TWfriDlGuhy0F32u77JY3T5Tt0MO9qLWASaMq8Vz8Dtpjx5BEnMP7yzy1/cW+PIWQ0qAqOJhEdfCFSSAc3p8TzYHAN55s1bXHN5vsIgkNad84zNpc08cTPC5ka4G8pIgbDF6jEOdOHCAswaIDOGs+KryhIWk5G/P3r+K77l1TdG7L18QHNygPaNwjMSad0Pz/Ry+YLJMnhHlg+xBvTFjbFWpogUxC+1bJWBLcZYO0ukjILbFBJFjjK4HvG3UzCP+N2lQzoW93RIOzT8/mebnJkPXHJAegghU3liR3zv/PU6wdCa5falgM6o1iw2Ty3vUJcN7pGjU7CkIok1W+eG/MTbOvzah31akQsIrJUMjXK2YVIUOpEICoVdgLz4f/cnKr0LrU1nOaWsnrG5a/y1BYNbd51sCt7MzhMpa69d7b55UDkOcjOCrXXOcfpva2nBBmBqCFNHb53TBGiWpjWBXxqoPgbMXFdnMqT8A9cw/KgOz/1PWbxeA25Zlihl1rYla7AosleiDOgSk2uTMrrJpYmTI2aNVFEqzp+1itBBxCfvCnj/nzcZGs/JE6FyeZI3FY9ZYiO6Oz8fZVivD/HybKTCKiyDPkvZW4wxeXYzT+EbtxV4Rcf81Du6HDzh88HPOS0OikRIBsYFnDIhZ/CiACu7WEXqvmxXOnAXksXalM1FVnmYsbl19mGe+El1uSx+VuaejWvzMiGO4mf8nI7eCIzhKFMExgi6fU39QsDEMEDPTWmINVMTHtaq4pKUgkdGfogYe1/cSeXP12e00WOkMKe03BdMXgJ3tkV3ectAVXYdTEmqZCAuMbksqgNHn+PU945YXoG/+FqNlWEGbgdwTzrtrcWoPBn5rpldVsJzDusSvstaO5cq6R+MVPWNb71oxurEpUQZhUkHUk74CXe+rsenH6ix1FEgIzCKCKfHsyrDHHAjt9pLM7nLAxVJoaw+JQs2rXSfOfZ2QDfZzW/XqUdZB+xOJdhRLK0D5BHcldm+dCNYoNeHiRVLhEFrGacWmsAKWWpSKGu00bsq09Tlf3hk+SjfbS/B2KPsvQ6wxag0kXlgWW4wGA0qs+E0BbiTEdYumDtj7YK9vVrMXV+v8OhzVUxJe7umhkyejNablCvjRphnfJl9SRJP2TP3wQuJMt4MUd6eMbESZQtfPE48tIm59aqQt9zc4yOf90GFICRWCIZGo4Rwk8OyQFMU13dcrmTWoLUinYWTpvFlIaOsLBWKSTfjpVxRaa0dkSnrHvk5s6keL0mpEbOiOInjIU55ocz+XhRbTJJgkgR9bjFhZSVhGFlqVTHGOmINC5Xfr1k+xu+sbOlY5y4eyXjJUcCMsrfNLcJ8o9ISwKWy6HTEmJSpYyJtqqszcCeFYyJNsRubdO5J4EUcOSn58F0Nznd8t9+1dIPelaDYsaF8U6570cQI4MfZe/wxkugpMfua7Riz3epGuu7d/jnu2W1/srGe8KNv6fLAcwFHLkgQEaAwSAZCljaRcsFZBmqRf+HSDVfm8zybmV6HMpuXwZwVY2VZVAFmrDZ8NNFX3kW53GInoPxn2aflrvwxHGbAc4GmYG5aMjsr0VJqpHRbRPu6oPn1uGb8g/G76JsFDa4SjHwZz4Cca+7s75UAnduDKgP8GMjzGdnjr5N8aGTG4lqWdLdM0Kkt6PsRw8Twvo83uf/Jquttk9ppbyld144o5q/k3zVbWcZWrnEmL5+/8jlcm8EsXItij/dy+Wy5jNa1m2XjhZPEEEuNijWvuiHkJ9/V5l+/z2cYS5eBMpI4dVVcjXb23WzKiqUrbl1LGqXv596LUmyQdtfbzB50Ei27ATLWtulN76RLCQ9Z9ned2M3hJ11ZMtmLZZwxXiKqyfEUp2UNembCLXetSZeVS9Kofb3O5vE7J38aW4rLS4+APEE0yn5jk6xKQ2TKwHeyxBRsPnbI3B4sJqCOBJeykCU6nXGdB5cyxvNj7nnc49P31xiGHlR1rr1z9s4C3BF5sg5zi9Hz4o71m47L5zcvn82lQVF8ZVWR7SvXiidGIo27dhnQ41hTrcXc+ao+d9/f5yuPK2cbIkFIIqHpZ9cBEDZtLSvJFVfWMarJ3VGqS5Hp90ybIvL3Ii2tFesAvczelhEGXy94LBh7tL1tRDaX3tn03BkDYRSxtJogvQS9beOQiWDIYDWiO1AMI5dYeCmArwv4TDetw+ZrdVcpSUKJCcuyJN3wVYlR10Tm+6mnLkqe3MmAbErMXQJ6aZh7rr2lmxK72rXc9UCNA+cqTpoIVxIrMu0tKE2QsmvAnd+0+e9cBrT4lucvm96UWXKjhyjAvWY4UFGjIqVCmgRpNNFQc+mmiLe8osuj+3xaYZp+NU6PhyiyfSBGwT0ac7kr5ZI7+Q0pnduSg5q0dBUnVYxw/+Y40E0ujUqVgozV75SwM4KjbwW+fLFxs8/DyLC0GnNmISIiRm+ZXWUiWGV1scvxc9V8+R0Bt/3mP2SNHhLjadjRGeMjAVqJvdeMIhgDc8bwmSSR+WD2DOR2DNzpzgSl5wzcno4xJPzR56u8/1MNrNBpUXyZvSm094g1uBbolG7scjC07hUqyZLs9I564WWZsraVLdun1BiDSSRGOl9cSUOUeEhl+Km39zh81uP9n9ZEcQFyg2AoJMpkgyQyV6EE8hzUwvmAQDr5Lf040+H5vYlNb35S8EtRAF0Im8uVNXjIcilinT7Msp25/mksYTPrjIILqzGTy4bQM+hnj0V0WkOOnAgZhILAKxh2XbZZ5yYqvyisoNL7EtAl5EmcAvBFcJlNTRL5KOJCewux1jGRGbjVuDwZ3bNepXvPOA0e4fkRh89LPn1vnW7Xg6pay955zXfJ2RFFgqesG8dfZyD/VhxuCw1QkgOZFhcj7olNmw5yoMsM6BIjnRaXUhNFCY16zNvv6PHFb1Q5fC5NKrgB1SRC0HdrjfuOJgW3LcBuc1Cnbglp8ie7iTMnRRTf2QjyCkYrRsnNiLQxeQQTYgwrovj3U9COyJMxVWFLfyRwcUCzrrhsp+HKPT02znXQTx/YzuJChRNHVrh0l9vxNytDXQ/co3fNKNLLQWfO5OUAkxLQy6AfZ+10iIwqsXg20VQpN/ixGMxe0t+l7TZkSZZImTomKZNrHTOMDHc/UudrT1XdcHDpOYCPsXfu4AgxGgxTLh8eY3KxPkF8MyYaAXrpMMbZcJlMselWJE53m0KmGEkiJCqRGKGIhprXXRfyulv7nPqCx9A4HZ5v74hmIHBdNmSBnMinrdp0yqXK4ZM5Kum9ItKqQumQnTWoW5kVYBW5ASFApLbjaJKnJFNKwe6o5h47UYyufgW43bXQWnDDJRO87NpZZmZm0Ddfu331zMnoi1VT/TvViskBnmWZypm1bKztN8F4rscLjZ0B244wefalMmCX59vlI3lzYGdAL8pGy86JlGv1dtkOzFLxUrpOHenH3Pe4z69/aILE6sI5kQohpNsHSBRp+VEGLzs+67P3XyGJOXrB7HoyxY7IFUMxxckagRGFo5Jrcum8cWE0cWzw/YSf/7E2B05r7ntMYnyRQtb9ApFR9EnjhpwiUybPdjgo/SKFF56utozKE5lacDZN2Zvc1Ug1vygsSUspMIcc3EUOZv2TNZIky75ySjaJMdC3nJr3Ob8y/cWpTRevqjfdsbVLsnhkomF/MtAhge+aczOHIrfrECMBYDkTOVogVRonIEv6erwKMO3CGbH+8t3DygHkWDInrfEubEFT2m7DpFrblGRJUkrouF7L08uCX//wBA88VXeb8kg/LYn10FJQlRBI0k2u7Nra7ZEjbQ7Jh+SMDiPKat6lGmuYLun64r3I5Vthk45WVLodtUtzT0pyr9htgdytmJ2JCbTl0Wd9VvtybKmR+RRxUQJ6Yc+NA+2vsiyVinFLKxIwMrF8vCRhhJVzN6k4TFYKYMg30yofcQJxYhkMDbHVHDk+/6PfePi5A3puaogQgiSOGA7D0rgCUezIZUn3dhG5HTPO4iOklQcRJdYuLUe5czIy/7u0S8CYNJHjmjtj8RFgl52UcmCZlsKmrxM/4cOfneAzX69jKwqEcugUGiHlSL+lXsPeL20PjuyFuc7SVv7YslZLlgEBjASao/ML0yBT2iL5I91AzbxGRUikUSRCI/sJd766z4tHPX7jA5owiEvWhcAajyFp7UwWNWZtbaKoDwecJjdpdjNl9yLITFlbOF/cyqJ/sngurMPRMusiTf9SpzDHXBZ0G5s2OxTvEwtxbBnEbi8lYy16brLnAJ5EDAYhYaQJY0UUKaJ0Sw1pLIkQ+WyMch1FAerRi1lo8DFpMu6gCDvCPOPAzgEtslWl6Gopb2+XMXf+WhZJHZnXnCR85bGAD32hziBJp+CLzBpMs5bCjmjvdVPzZaAzboOOPn8r9rNpcJd5z2symtg1JbRWljKbsuSsCOUKs2RanCUNidEEnuHH3tzloWd8vvKUswszbxwpMFYzTNKgM9PiFOn4VFOkgWVmDwpUagmWQS5FdiOkBVcjAC/p5RTUcsx1Ws8eHEmE5dWWKXsnljiBKIEwhn4o8GKJ5ymsteitG88gBMSxodNRtHsNen2PgbCISBEJ0hJL948KWSwpa4gq/3Jjc6Hz4vYxYOfau9jIqJA5aRJHFDt7qTU6fB0WL7O3TIoAU0f0hvArfzDB0TMBVhe7JY9o70wirSPB1nVMyp+VL40YOynrgHw8nhnNaJaLr8p6fG1tipFpxaEss7hCJAYhNDI0XLQ14pf+QYuH/nlAZ5D+Mkbm3yuRbi9Ohzr3JdxWPxnYAZOCmgzzru/TpsFlOurQBZxZ8VWqwcs1KTYpvS4Hm+udsvFzk/7+TpZY4hjCxHXydELBfM9ge0N8L3IM/qt/djlh7LGheYHXX3uEbTOKJBndAChbOgVZQf5Le5PloGE8qBxl72Jvl2KI+uhn2X4wuRWY3wRrpUnhmpR25009b60j4gT+6ycbPLW/4jxvmTF34Zx4YlSWKDG+ApXAPsbcaWqQ8tDN9S+TWPtRSYYUDRAUxUxW5Bt+jVQbCsfgedBppAN5IjEiPZJUqhjD9Xsjfvr7WvzHj08SJinVQoZGEhRDUwo6pds+MndRMomSgsGmF9ymjJ2zuXQ3h80Yupzgydjcjq18toSfl4DXCMATd0TGMfcgElzoSGZnW/yj76tx9Z4Juv0Y/cZX/zDKm2B14RG63ZOoDW7jpThRqMQgEok0Iv/islQvPArsIpP5TfX3SC1HeQOjte5JsenoS7B3KkdkWZaMHGlgWUn46iMBH/xkg1bfcx5g6nmTNuk656TIWpZLecs6vBjNts4MwpGwTOTvRyC9Dmuvx1SMsHcJ2DlrZ1NhbQr+slRxNmIiFdIaV68SK5oVw4+/o8cTLwTc/bCCWpwJZ/fDpSA2kgFZTOEsQ0xJi6eSwiV7yIFuhcgzndYU7Jwdo+QmclCPOink+SbxEuclt07T85IkEMaCYeL2aa0qyU3XvJ7bbr+eQauDvmK3RnuSpWpA73wDJSPq1ZAoVgxCXSYZihnOtrjTxpaWEaCPZDBHgT0a9adZyhLA3ZbR64BcmJylR5hbOaDLUpWglDFSx+w/rvndTzQ5vOS7ghtR0t5pxaCXzjrJnY31gsqMqMffj1te+f+tt8SVWLsM8jHdXVhgpbLUcY+8BPa8EMuafFNZkUkVYZ1UiSx7pmP+4Ts7HD+vOXRGYHVZYAmQHkkKcsZAnskXa9ysHEpMblPJYkuMzRjAbUoQkqIeJfvnKQG+dB+NIHw8OM9YPUoEqwNJkkBrtcLRMzV2n6+wvBqjZ6dCvCCGQY/5k6vsOyXYMCnR2iNJqiSx814Lpi5fxNJeK2XmTt/LMsDL9pVYy9pCZFvTjTonhUwZ3VJ6PJmTsXnW2CBljB/EnG8JfuUDTT59Tw3rqSId/03Yu6j7XpuSL4N7vaROmdFH0mylv7OmDMKu/WxtTYodkY0mky1phtNmOjxlcCmy12nwKQxxYvCkc1VaQ8nP/bbiwqqAYJRuLZrYSgYlDT4CclHIFStBZfIkBTpC5OUeMv0Vs2eR7hhSNh0sINIkUB7jUgL8OEcIZ6kqnNUcGktQ67FzW0i7k7DYiVlowUrLomvNCIQ9f3Y1+vLv3rXlDY++MORv3xbzPddXwPokpmzfuKsx0mpU/rNxeQL5dhb5TriUNXdJi5f09YhUyWSJcJrbMbgpdHaaqZQyQao4fe1qTUIMn3uwzlcfq6W1JioH9ih7F7sGl+cNrltMVdLfeSteCdjjzJ1foPV05VhmzpbAnjUAW5M6FyP1Ka7s1bkcxQapQqSJn9RZkbJUsyIlIq04DLTl9TcPeOvLevzxFxVhLFzaNmdxd9PEUqwBuU13Bbak2e60c9hKm752aM5lbXqdbelc2ux8lnV4hh/hwJ6ThB3HmXvWotjot163vPbWDm+8eYUTSzOE/vDLF1aD83HYRv2bf/M+xNQrV0+dq66eX/B+6MKZFkk0iRR1PO2yXuV06shohyzRUKoIzHzs0YmrL9W8UPRTjtaWlGq7S563XI+5Sx3xue7WMYk0fPb+Kv/2/RMcOxekTQxFQsfVnAgCCZV0kL1Ox8Bls8WLZE4xGk6l7JH9vvmUWwFSSvJtVcTokH43qUuOJm4yp278KAe05Rr0kpYtkmuurjqv85DrrzjZnSYEYCzTzYTLL444Na84dFJjyggs3bFWiBS3xQCMPLU+Ugol1pUQlP7OuPdfzt7mfz6S7Ckvg6PyUCkIPMFETXHFTo8bLq4QKM2ubVdw6c6Z/3M22P/I9Te8zu3RM+ENCbRlUyPk8m2WrRudbTYYpvu9S5GDF8op17V7IOYypMzk47KkZA+O73de1tyOrUflSRFQFsydATt79ryEY4uSD/5FnQOHA2io3C3JEztS5tIk77NktDb9JTvmy8DJLrwYDSjHl1aR0VGRFF/nggvcMPoSu48HmxTvs/S9FG5fdyls7o0Lm+0IXOhwKbKufE00tOy9KObH3t7hsed8ji9kJjYFTaYyJJaCQVpNZdMoMGNsJVN2T2tmwN1AuV+eniEnU4pak3EXxZY/K7F2liGQFKwuRLFde8UXJEZz6LTHUgt2ywpzQhLHropGA9xyw+VUq1UqnqHfOsNUU1OruC2cySq6KAWAJdB+c9ekZAmOBJjj9qBJO3nKcqVI6GTALgeYo6BPUMJJE60TljuC3/njJvc+XS2qBHNgF9LEF+PtaEWXjiqd/DW2IOt8VkL3S8WXL/Uop6hHqgpt+TmTLA5kuUwRaT/kiDcuEcKSCItIpz9ltqEQyt1GwpD0DK++fsg/enebf/cHkpV++j0yTWHca2sVsREMsl88dVXyqsNUoqhUothUymSyPgsibe6HF7s+rAH7OiDHFoOFiuDb3TqJgd4gYXFVY0yFy2q72Lj1KoZDFyZLgJ3bN3PTDVfcLU3713dtazA9Ac2aJfDcPO1sDkk5o5cP5BmpmxjdP3EkE5lp6zJLjydxVMHSZVki5Xh1oMkzlBlzZwmdgbC871N1PvDJBp0oLaTKAJ7qbje7z6Xks1EQ+VxtRkE84oNnTF2Sq6NgzhoISmvqXxHcI+xcAni5dny8XzObjV0EnYyU1to06ZO1t2UDPI3NBgdpGhp+8h0dfurODlUTg0nAxO6wMZgITIy1ltjCwMDQCiIDkRXExtlziUlf5/Uh6WZa1h1ZXXtii01vTV5bQp6dLD8nZuwzY0f+bpy4BoduP2FpNWSp7XPw6Mqvz2zce3djYhOQVkP+x//4/3DZRY1Iy/CSWhD97WowpBpYAs/ieaU5f6qkncutZWUNPpZyL5e85l3xGcjHtHbxb2cBpV1HlqSMPZKtdHXewjM8d9jn339ogpPzQZGKz+cLOu9bCkFFpiWx+VFo78wuLPowy0VRY8VSefHU2AxzkU1eTbW3LA8gHdPbsrxtS0mDyyLmKWd/Cz++NL4Cxursx7fwS7V6/jprULBUfMOGqYQHnve4sKCc1BhxgAq7KFtJyhPMRmRNSXOXRds6Ka5cG5S54CXzAmRZz1HmMDYrskoQ0mcwTP74q/fc9+DfevNbCgYHeM3rXs/r3vBWrrtmGxunOjRrCZUg3fU33UMybyxQhXYuP6+brMmPUcdESYPKNXYhS0a1dlotOA7uUho+e689wwtHPH7616d47lCA9WQhSzLtnbK3LwvfW5fY+6V7LteXJCOJHUHpXQGQv5JcsaMvR33xteydbcE9zuZZ32Y+MMjKNfv9ZP2bjsUVidWYUHHNxRHv/blVrtwzcIUdGYPbEpvbJGfyoYGhEYRGFExuMrZ2BXqxLdjcjDH5SKdSVthXylSOs7qrOylS9FntySC0dPuW0wsRs5v3cOf33smb/9Zb8vOpsxf9ZApf1Tjf8umFhmbNYEypR1KU9Hd2n+YB9zobfpY0eqG7S8FkOakj1gaVmYTJMpUFuE0eYCrhEjraS+hYwe99us7TLwYkaiyZI7OspXTSJLWZFGPaW9pRYEs7CugsA1cirBH5UroB/ioyxY4Bu4xwW+7THPk80+Pr1IxbgUwnYWWbCdjUF8/KZ42VqS5P9bixJBi0sFx/+ZD/7e1dfv4/enRiwCMbOFjKdoJFEWVMndqIVuBqWNIUvcoLtdLvbwRZ+5tN/6pMx0xkZJGNnyhr8Ow/yD5L+zHc905XM2MEgW+4dLfPZXum6XZ7awEOAVJWDidm5oix03sEXTwtSkwMeU3BOher6Kkb871zO7HwuccdlEKTm5HXZTaXWbWgSJlbpFWCXkLPwAc/XecTX60zzMAsy+zt/DiZgtsTlvKEqnWzli/loGSgLb/ODLR1wfzNOXx9J8W9G9fhJgVGmdHdplAF4DPnRKaAF1YgjEQI44JNZ6qnn1kEzmFJEosvLO98XY99JzQf/FSDboQ7YW5rzaIBQgIo4ux3y6ZowhjQ00A0CzLTFH8WdGYcKcgSQa7LP5cz4+Ug2Y/Jrle6e4S1CTs2TbBxavJItVI5bOIk/29yiXLJRVsR3a9/+cYrvI/uvbhK4A/w091/fc/geUm+r6RShnIQWXZW1tR1j7C24aXrTb4FuGUJ3GkqXquYTggf+Eydf/+BJvNLWYayHFgWGcuMvZVw48hGO3RKM6jLwWV6ksZdlHIwOp6md8f4fMKXRngZyCOf5W8F40Pgi9r8UmBZahwY+SxrdcuCzkymGFWSL5o4UWyaMfyLf9Dm77+9SyNIK5rsepIlgUyupEdsBLGFKH12AWZJnphsqCjrHiNSqzwLJg1KYyOIEkEUu63mo7SSsN03DNUsJ1caH/29P37gy43JresxOEw0Eup17/MPPybeRhhcNzvhdkJQKquIGN1eY/TeKs+4sGsYPJMco+yd7lZQdlTEqP2Xuykj4E7T8RXLZz5f41c/0OT8iueG3MixbGUqTTJbUAu7ZoB9PlmLb8LcJZ97JB1fZpeRwpxvje1xGi8sMNZIFXip1H2R7TRWuG20xWhKv2Bxm1uIwqaHUfl7jCIaWjZPJfyLH2+x1JZ89K46VDIGL9FnlrUUiliWkjmZFMk883xYY4mO879TnO/8n1uHvYubttj5QSByc2DzrMfu7fLptql9Prb9kVM70lrc3Py9vO/DTz5w5kLweGIqaB1TrURUg5BKEOF7cQ74cT1e1uAvCe5ygJkythDjbsn64FbjSZ3AcPi05iN31Tk37xfgFqNlsC6wTFO7ghFbMC/6onAvsrp1OX7CR96k7sGY/v5/A277zT4fswxNWZaULnhhH2bbgJS98LFxbyOMKFmz0Ww6yNNYRRxKNs8mvPtvddmzPXQ0aZOCvXMGT5/TbpqMycOcwQsbMbZjgWY2XLTE3iO/V+kw1gWwUQLDWNBPa7+7oSBKoOprpr3w8f7xux/4p3/ve0bOpx4/wa+6ZQMISdw9R83rUKnECKzbB1PCFwAAMGxJREFUozHUhJGHjcAiMQVvF5nNEedhDNyiSMe7z0zps9Ih1gN3nP55jPINR85q/u/3TnLPExWoyIK1x3Q3JWmiM6tSFMmc9WZ8rxnsk03mKjP7OGtnqfDyMabds4zduEuS3RXlVsAxxTIiPzL2dvo7HVxp3cZQ6xVliewGEDJPEgkj04ScY29jlPuexl3RZBDz2hsH/PJPt/iX753g6Dlc0EnK3uP0aBSJFITjLI1II0lACvQ6TJ4xeJnsM3VXrgEPE0E/FnRiQWicSVBVUJuo0hc7SNbpU1gD8Euveg1C6HDp5AG6q/MYl4PF93yUrBEnCiFU+kXKXliWUi3LEMPaNHzG8OuBOykymGOyJEvkaM9wfF7zr353gk/cXSMUaTKHUc2dgbwcWJbZe7y7aG3tRvFc3MBrNTeCcXJf/1H+w7HrMOL12tG/sybZQ3re0zc2LeOz1qYgFrmL4nY1c8DP5ItzT7IbJHNUMpC7oDO7vQJtedf39EkM/Mv/OsmJBVEgJo96x0AuBGGWps9AnpUJ2sxKXR/kWSPEeifSphp/ORTEDKl5fcAwNILmhl18351vCKMo5t/+wrcAuF+bBab/+acfu/aK939i+dULKz2EsLzt1hY/+44hStbSHQacxyqy31Zk/XwUzFCSLDmYX4K5MztQCJexlCLJU/PZn2ttOLGg+fn/PMEnv1IjlOnWa0KW5EnZ807B/RLDe9ZUDVKSLesFkxnQS6vWGvnyVwksv8WjPEo5L5YY1+ElwBvrGHzUUWGExcm0eM7eGSllbkr+k9xKbF2vo0fMD76hj1bwC/95khMLvqPONI2fzmsrPZQb/ZeN1DAlSk6L80Y0uSDde9Pmc4dyTsiuQ/o7J0bg6QG/+P2n+du39ImNBDFBMD379bkd2/551OuuOZdy/AMhZvi9j3y5bZINB1QylySDKfrdWe59ejMvHq/SH/r/v/a+PFqO4j73q6reZr/7qnu1XwkJYWOzCQQYMCgJkOBnx+T4OHGSF9sx8YLznnl2lncwTuIlibckzosT27HxWxQbhwfBNgZiVmOEbRYhAZJAG+Jqu9vcubN1d9X7o6q6q3vmXkkgJCCvzrl3Znp6lq75+tdffb8N9YYsB6YFfPNbJeNQksFUpJ3lViCWMlYcEhuBnkjLTa0Q41MUf/x3Gtwq/JWkga3pCTEWlkh2AIZIqCXtSiJHAE5Z7XbWOr4vjm7JF0R2qwVHyoIDMrpPGJzapDs8BeyIi5tKijCLCBmcXJjcnEFwiiBksELgHZfV8Knryhjo9JWyYrrzDY4Oqa6EHGgK+eebnDxy2ZMWBcWkZYrRgFHAZgKeLZCzOd4w4uOiNRlk7H64tBcZezDsLvVsF0fumB3qybdMqdVunikhKM/OXre8P3N2lpff6NgcHfksntpegL9Yyoa6/h+Urk0AI50r5eAxZUIlBRID4FobZ5p/m7ybyLjv0AL+6fY8vvujLJo6drWFkiSpiaM8lRaJcyzTHssEcI2Fc7vyEJH+nf6LQB2fGcdjyE0aEmE64dRJZvQgZcX1lTTi6gIqAIuk+Liy9JGSQkAElUaKGxYcWllRPb5DwEKIX7+iiu27LXz2GwUEgCoOBCRItJZDwBCKmJMTLpMgoCraymmSnSKiYp1CJOZXF32yVChzV15gxUgJz+8rYWo6hOeEKHX2bMnUqte5Xr7t3NJ2G9//7svhUD88643LxVCvhZE+CyP9NgAb07M2ag0GP6AIQh3Mo39NoRaa5p8CfFrnJhrcoQJ3GCsn2pFDpBwIC7jrJxlsuiuLRhQRmPJURuAmMTXR4IZJR8wsnaSKkrDWaGPRkbTexAA0Uvseh9FecGMyGIsYoCfQlcYSJ4RQ1a/MQKzIihvu/ag6rZZ+KbhgsWXnWlmRbn3OKZxQ4NrLq7hsfQ0kDGPL3WLJ9XaprmhLHqQCsNLSX8KCE/mbWFSGFHkOQTEnPbO7xx3sHvdwYDIHN7dKzFYQ9i++su38trXgAPC2KzegUa9vapT3jtXmJnNZjyDjqiiuQMYIMyqbf+ofwbRmcQxKWiFJO3EMcJPYQ0lJAGZxUEvg3x7K4Ia/KeHpXS7gpuJL2sSa2AY10WWPozJsSAE9+t4i2cjVXD/DAG+ap7QBtKkWLoT3dq76FDOJ99MLtQSYtUSo151mgrJI3EZ6uADACQhk6jtRvS5lWqLybLY94xgYBE5f1sTnr5/Bxyjw/YeyckIjTg7lSzdfyhBCWnIC/dmQC0u16CRRuG980Fq1kiCXHaQpJag3OCamQlRrBMzpm+seWr/Jdd1555jO98ToyLCYOPTsly84Z8XESD9HV0lGFwJI6KqGygWgTRJDKugqLQkmwK2DqEggubgtcNuDGXz8b0t4erersuFb6YhpvSlR3YgNShLTEhFF4c2bxID0NtIW02kQvyzubQI5wcNJwquZdPQY1h1IWmeBuHlVZLG1BzO1PVG9Nu7elgjM4gxC6+RNhtMWB/jsB8u4akNVxqwmvJ0GH4/uS49nUwC+QMTH41BaI9TXOC59FTWrHTd8jqlZH3sPNJAtLZn46c+2frm7d3A+t8L8FhwAxlaOIfCnUbLuwZ79BPsPFVSMAyJaIgERAzhaTFKhaEjSipOjgZtKy00sgdseyOCP/q6Erc8rcFMrZbEtmItKSuPkYR1M1ZJADIODw6AhaANuE8Qp6TDt4EmA21Ba5kdzvIspE8rHpoICRUVi6xzFqYCkrLmI0ss0DycR9zZrrJCYi6tcG0Ll/hBUSobqVr4Pi2VBIoAmcPpSH3/xB2UIAHc8mJVfXCuMOmgGMKREGbtCAHUlEbKyrbLkCapirDGAmK5QIrn43sM+qoGD4dFl6O0uLTjNCwK8s2eosW/P5O8/Oz70na1Pv5DLuEBnUdVEMWKKE4kOhlfSjDNpb7l5CtwhKOOABXz/Jxl84m+L2LbLUeBOg9pC7MyRP5CjqEkUb9IO1OmIwXYqSZvbFvwqVJPERkNNOlZzrlFsgD39XJrKCF1DMLX4jNugQMluyURlIiiI4AbIVXShKjUh/f0cJLqwi+SXUYtIAgBNYN1SH5/9YBlcAD/4STY+fCMZOV6AShIYKEdRlEeqFpeER8lC8Z8BdkJkQdNCzsKZXSGGR4fKuSze398/1FhoeulCT+7cPcmd3MpHh5ZcXd5zIIeGH7emSCYEp4vxtOHeGthkPnAHoGpB+cOfevjYl0rYtssDHMMFTzWozYAqGhXnsZT1jiIEqUFN5gNw6vko1p8ofpjYNybmESVJW/KEfpgi8ilMtwA6hfI0D4+dOqTFypnFOZPBWEkVpR01MYsGmdKhaCMbhiFDGFpyEdqkWLPEx19+uIxfWl8D42rhyTVFMVz6PAAEB1c0RdIVM45cLkADVezVLPyqq3pRQuDYFKtHvGD1cHjtiqXhj/Y8u4ljgbEgwPt6B9Df23GEEfGOSy4807dYAJsJWJbqA2/pHvBxCePYQqeShUnsgo/BHRjg5hAW8O8/c/GHXyji6T2m5TaVEsuw3tJTlwikIvKyxIiI470NoMcOnRSYDT5C2m1H8uRoZSCJdIcWzB7TaNG8kyeBSP2Zmre23kidCGbUoamdy6jCWFFJNqClUfGgtEYudH9OBXLeJFiz2McXrp/BW86qgUVpbyawkxxdCKDJ1Z8gCJQ+rlWWQKW/+aEuiyyrxgahwFy1iY7+N4rOvrN2bXvyED/ngt9ZcEoXpCilgoX9L+zD6pVL9ufc5vNhdccql5XhOQKuHcK1AzhWCJuFsCxdxqEdHYlDXmPOnQQ3LODuzS6u/3wHtu9x5UqxBdw0ybtpDO50XcFE/mhK805SlCToY4udjB5sZ4yjrB5yfDheANstFMVMfIgjDUlEU1pLLMvvoilIujW3TAbWQVxEeTiVb51zlYUA6YlU7wfTRqpCqmGkdwNohhgb9fG3/3UGH/k8cM8jHkJj/4RLXyVQcFCVqa+fIoj89EJAMEnBZOKGZAuz1QCFfAF9g8ufX7FqVb1crhx1XunRdmCMYu/zD+9xLP+9p61ahpzXRNYLkPV8ZNwArhPAsWU2uwS5Ua/E1LYZTy4k1a3lhIAN3POoJ8G914Vwjg3cVNESm4gE72ZpcEPdx9EXlaZ1bhf/vWAEYVsTfhwIbwP4+L6ZUS4/pEVajLTypNVOP+ZcB26lVBQlGQrt3TS6ufFUDLkQSbrCmxRji3x88Q9ncMk5NdAgUKlvKa9nZMk5OJfRh3VBlEWXt/WQyKjBgKDalCWRa02gXAmweOlKVOb89/7wrp/sofSo8F3YggPAwOAwmo0qbCczvvc5+kCtvPVCz5pELis7BFuMKze70pITCQxx3W7TO6lrd1tuiL0TFA8/kcGNXy1g+x4zl9IEdrIalQa31LtNcMdxJi2WOwXmRP2WNuCNotkQ7xBjeD4Ei8hmpJ1DC2E6HYMhN8ZqiYl4qaLwhNoQ8XKCyNpHtQIVfyUa5ES+K+ckLoWtappIZ6bMI6OUqwUoZMAdp8nvTSNlWNYqVN9j1aiPL310Bjd+VeCRJzzsnXAAR6QsuVpBUiuqgyiI9KlwZdEbHCAhgU2BZigQhAFG+os4fe3qB6546/njlbkaCvnsywc4ADhuFvt3P7LTcQtfHlk8diGp/gA9nT4sK0TTZ6g3mVqUqEt+uoZgGtxUgnv7fobPfb2I23+SweEZG8JJdlxoKwcmLHdccs0yQB23Bk8uItsmDmtgA/MuQqOFZHpf07ojeWLEp8Gxm/PIQmsgmipKTLHjJAgSW/ZWd76WGlulRDPOPIoI1WqKDp4yAC0NZRLkEDrv0sxYI0AjwOrRAH/zsWnc/nAGn/taETtecAE3aKUrQkKQc4qGAndA5PcNBRA0OUTA4VKCrM2x8a1r0VEqfPlHP968c+Ol5x7TnB4TwAGgp3cRqN35aDFz+NYnnlx8zU8eeQqUEKwcbmLFoAU/cFV9PFNRSUqAkeX2Aux80cJN/1DCLXdlURdWrHOTdjp3Etw2MVzxSNbzTrTbJjC4eAzAZPUtJDyY+l8rbTHMbEI2MWdJQVogtd8CVlyDlygwt1Fc9G1SUUny8+h9osWkTDKWu5hauLbYiENslTda1jNUxVYpQFT4reBUGnYT5CrDR8YjhhF4BQDhh+jvDPHuX67CtQU++ZUSnnvRBdwQLXErqhoW5xQ+kb0WQgGw0Mfa0SmcNlxD0wd6B87AaWtOu3XNquWPHpooHytsjx3gbm4YjerOPdnu9R/5Pw9sYfdvbl59ZKqO9159GB/81SaEiDtpyb+4GE8Mbh+Ww/HcizZu/B9F3HJPFnViSSmwLaiT4CZpcJMkuKPe9iawIVqpCRaw2IitdgK6IrmYbMvDj4bmhcZ8WjgMi52w3AbwTemQtFlYElMLl310oF32zFhIqgUmpQJCcHBCJKAph+C01ZJrkALQJayoml2/TuDaId5xaQ3gwI3/UMLz4w5gizYglxOqFXhGABsCG8+u4fc2hqj7OTgl5/Z6xzkf2X1o/943rFx04gEOAG52Bf71h4/s3bjhwqf8sn/1lqd3I0P7MVkuw7IEbBaAotWZE4Hb49h9UCcr5NAgTBXnaRMRSGNHjpYCddirBncUawJtieN4koT+DaRoSSpqUINaIbddYnEikrAFy0eTUV4C4kVMWVoADST4t0wVMmqKK+oSWfFo8aleo602iYUT7UDi0OoLSdAVqtqjyEkTsbXWh0YlF4+uNJQg8AHPCvHOy2sAkUkTew7YgIukBRcU4BSEMjgUyDIBz2WoV/vx3B6gs3c5Rgfe8lQYPry3Z8n5xzWNxwVwADh7zQCGh4c+W53atWxpX/XavuIUjkwRdJXmYHlxkoKs0a0aQTEfgeDY/KSLv/9eHt+5O4cmYaoYvVk7ML2wlEkLjKakQJiLSrNsnEE5EkBvpSnprBwgfq2Jy4RlnwfM81rylzFE+r7h1JGpL3JjBPbIyKuAKtVmodWKQ3YijoAf117hgsTVIZTF5nrVp0JspcTIIYiy1upyJxAnO8svE8qTyCewrQDvvKwKcOArt+Tw2LMeGiFUkJaaNEoByDDnnCXQnwOOHLLxxK5enNU1tqnQfdZnDx0cP+55PLrOkhqLRhfjx/fdO7No0ZLfHR3MPJjNMISq85rssKDyJqkvrbblow6Bf/5+Dtd8rAub7s7JeO6o+arxl1JLiAqX1ODWBXv0wjJqEmvQEl00U8uCrQFVSeUkTU/Q5nEE3jYUPHEimCfBcaC4xatpbGgvBYq2J0Hc28ew2ECCs2unUMTFDeeP4Gnvpq5rGDt9IglRpCXEuA5iyGXtQ5nEbCEIbFghxbWX1XDbX07iPVfOIUd8IPAB0VT1D5sQPESoTl5KBYKAoFxlDy5atOR377v/32eGFg3heMdxW3AAuPTSy7H7uS3VgZ4rmjufugU57zCymQY8pwHHbsBiCtxOgLkQ+ObtOfzJV4uYnrXjFiLp2JJEsrApA0ptO6IjxMyrbOXc8+VYLsi7oz+SoivzAzbB102Z7yVa8TjumxirVAO9ic/Rjh4tD4rYR2ICGrFVh2HFzZNAprkhjpHSFDviyDSaU56iK7JaLI9PGCp5NNOLGP1ZmrLTED2FEJ/+wAwY5fjWbQXMNQA4+gyVZZrLhCHDgBW5Iq75tV9pVmqoXnbZZXgp4yUBHAD6BpdCCL6ZBmvX09q2TCk3BcduqpZ9IQgV2HGQ4rb7svj01xW403y7RTVJlnhIRAYavNpMXmhXU9BsINXOeptWugWUhpVOLCjTr0Hra+Z5eNwjttpx+TO9Pc3LIymRxF5NzcljiiJilca07HqbiD8lOhmAWE1RhJmox0LVIidExFSJKJoiJIeMYtQRXzGYkFeAzlyIT72vDM8WuP2+LHYecAASglgNkNDGdODCdbJ405vfXFu1ctnmY3HozDdeMsCz2Tx4WPnjvtGLxfd/+LOPbt8x41E7B/AAq5bV4doCX/x2Afc+nkFDN12l8ywojVhuk5JEFhuphGEKI5Kx1fUeKSYwIwnbZM4bQE6HyCa8mQaoEjCeD8kvBeGpK4FJVwQxgK0TdBFbewEYXm61uCRxrb84dlzXFody58v5EYLEBlvVo+Q6tkZH+REKSmWJN0oFBOXS8hNZbI2qq47+rrLrGoVAGFl3ITiYyhjqzAb4iw+Ucfn5DXzx23m4NrBqaQAeUoScY2DozfV3/tqGL3Ji/0lH8egOnRMOcACgLM/fd9P3biyX1/mPb8l8/JldBx0EFVxz8REUsxz3/TyDBrdl+5CWhaSZYharJGbQVLIhlJlallRLSMS9W0Nh2+GuhZunUNnOWrfeb+d+bP2sYx7iKC9KU5eEFY9Br98iXniS6DFRFIWQpNvfTJwAkkk5WgUkIKp7sSovob4PUe2v9edTvejUi9Ho6kIgKIcABVUhAa7r4y1vauDAYYZSjuNtGwRqtSyYO9J0it2fI/Ytf05yv79gtODRxssCOADkPNEc7B/6jEebzSVd1ZvWLZuib7u0hgeforjtfoJ63QaogzgCUPFtxFzbIohLGrcDtlZG2rjfY3XEbDYbW+boOcMip2nIfDHh8V76tcZ9c3u7iSHHAfK2rnrMC/q0a99UV0xVJOLniBeZ8r5BSWCoJ2q+pCddSJVEAJyQ6MoIwzDoc04QBkoVmKlQggOJtHEQqsDOwQUHU4CnAVBvhti63cH9T+Xx5E4bF57ey1ePLb9poDj8+bmpShMvc7xsgH/hhrfjBz+4s3beklW38ob3yR5rHGevYdi2V4AxC6AewBwJbBjEWE2mQ+N4krjTmWgL7DSo5XsYmjaNJcJ2SQ00xckTykgbHq7vtrrfYSgnpPX1xzHEfBtJkqaYnJukFpMRDYnolGHt03EpQNwKJKI+uhNOrIsDrfUC9ZWOCM2/pUWXi1eqaBFX/XliXi4IlyeWchyFhMlsL0YQBg1MzVh49IkeVKo2Vq+4QAwFo7e+sLVeO++Ca18uPF8+wAHgtNWjaIpFO3LUvs4Jzvn7cvk2uv8gRV3kADsDprq16ZU6oMBNAJeKOEGYtnoh2wZL6QlPVYQ194kBKBJ0JbF4TD8mbcBsvC55p3W0A/lCwG9ruNtsNN30rS/WC0rElMMAtMR63FxWc3Nh7I/EYla66glFVHlNnyUSsCqvVRCli0uwc2WE4kq4QkoyQOT251reVF5hAQYKoK8vgNURYsMFF/LOvpXXnbZq+Y4t2w+dCGieGIAvWXoampUnm7XcuV8rzt2XfXpb7xfuf7SGhp9DZ57BIkAoBGohQVPEH+wQCW6dJBy3CRGRd7JVp26jYxuWvW0obHrfNla8JbEhfZDz8PH0Ti/RkAOInZIt2/SdhFyo77TSEfO1unMyDNADBjeH4ub6IPUZxpNxMYmP5rpvGolycCNLDikfqoSzaHKjxazKCuKCotF00FEkOH9dBRc+n8XkHP7LxkvO+tq9j+4MLzln9YmA5okBOAA4+TMg+PMhcu95judWzLLMfYWebIjenExTqjRlbeeGiBeFtgK3Lq0WxXJTg0erS207mqCtN9AmxoQkFRX9ujQAEzSjzfOJfV8Oeo9npFFK2j/fGrOSlAsT37eNFZe0IQY7YPAdSItLlOseqTWuXo8QpdRwlWAuhIh4uP6usqCPojWgaPgOag0HnBP4TYbOYjc+/O6Ns0uXXfzco1vHw0vOWXnCpvKEAVweTB73bGa3jy254g/eeWXxi3nc3VUul8HBgFngSCMAOJFddwmJcih1neeo05nuAqB/SxJbD/P3b+uFNIEOtFhypJ5LYSax4ZgK2M//Di9tiJhPz/N0y+Jxvq8Z9b035jJhxZVbXyRmNgly/ZkQ2tgkzy5dXVdn3lAuu+WxqDwHgWBQMUmyW1u1nseR6RwaDYFcvher1l08ef7ouddTeuT2nfu6Tsw8qnFCAU5IHwBgenrm5nf96gVWX0F89kd339dbrVawdkWA0DmEu37uYMeLnUDGAlMdhh2quwrHHsp0UFNaytI/R9rFrp9IrPqRPAGSt6QFm8dtqU+WZdcTkKYxIsVaiFZMRGShdQMDk46YagrRL44oDUHCDBMVWtty+YgVFq4TXoS0VHJhL7+c5/jYc7CBu39WgAhdZGwPnR1FjKzecLh78Pz/Vq/5N+fyy074dJ1YC65GR0cJMzPlb1xy8fm0PDPx6d07H+s993QfY0uqGD/QxI49JbCsoidMwGbJ2t0ac+mQ0HRsRgK4ME8MkbDWCZDPczufdh79vicTxAuNBXhUpIeLGMjEsOLa4ku7K6LFKKBqGSogE51NZII80tNNDZ1EXlRNJ6UFJxHtoZSDMwrPCfHsfoK/3tSDlX0uzl4NLF152uFVa879RMj9b+TyhVdkul4RgANAqVTEnXf+4Gs93cXQI/1/7TlTXWGgFhyUIsMEMkzWoHYslZFjFL/UIy4GkyyVkKYXCZ6dWkQm6Ev6uRMB3KM5aU70OI7PixaHxmIzMvSGwdDSY4IKKhDrbVHAlnb3C11d2PgtCMBCCWquThjGQoQhgxAchDLM1UNk8r2TlGVveOD+B/758it+6RWbqpfu5D+GsXHjL6MjN/etpYv7PjQ83D375O4Gtu0vIOcxFCxZEjdjA54ly8K5lnR6OpbsSGKpP62stKMu6ckFSVrvBa02UhtfDYMsaKSP+fsmSrsZUYa6YCc0UBHvA+M15iJARH9ElZMgCENZfDUIKfyAoekz+L68bfgW6k0LjYaFRtNGo+mgPJfBikGCVYsn0TsyMtvRM/ShvePlb72S4AZeQQuux9rlEzw/6G169OGBYNPDZ39z38Epb7goUHA5PAtwLQHLkvl9kTVVnjQRtYWWuqysVnoMv27KereLLIx2xLFZ8aMbzZNkxhfwcOrnY4k8jkcBDCuOONBKLzwJMfi21tXTb62tNo87n8XVaY1ZVWUegjDeVwiCvpKPv/pwf/3OLV2/d88zQ7eMdE++LDf8sYyTYrt+7SM3Y5Zn2YBTvqYxc+jb+/fu8jyHwWaAbREZh2V8E7N/eRjKTgO+6k0eRl3e9GTGIE63A0wXtm/tgxnnXlLaejJQld1jtu3WCRhEhRlELbwpQKlO0DDbeqtYG/V63Z6b0fhztTSqt+k26XEpPB1kpo4tet7oIG1Io7pEHUnMh0g8H91Sbuyv2tDoGpOIT37ZXVnGhUurTRCEFGFIZDF73Qwh4t4ibkHJQhDiY2h4qD44Wnx3sT+8FQFCYt/wimOPnQyAP/vIv+J3rv1PItv9hmdW9s0967rsyiMT03Y+Q5D1KDyHwHWopCMsBoGO0RaI2zmbfRZNZx7agNrMsE/EqKj3besESjwmieegTggZPkBa9gE08OPn5Gt0L3oS7b/QCZgoUqTngRonWpuTdV4Hlp4jg5wlFCXDSOjji+csTQslRQlCAj+QNeL9kCIIGIKAwA8omj5Bw6eyA0gofytGQ2QKS6twFr9nyeqRW/Y9w3hH/3UnA3onB+AA8OMffRfvevtF+LvvPL1t/ZlLdmUc8lYRzHlZjyDrWXBsKjuSGNaTUflj6DZyQUikFRfJYkv6R2z50RcCA0h7UMMEGUm9jrSeIIQkwJ0GeLytFeDxsRonZdwcrhX0BtjbLZrbUjHTMQBjG4zjRmrOoitHsmEviDQwQcDQ8JkEss/ghwQBp2j6FPUmQb1B0WjKZq0ARV/fwMzAQP/71w5s3vToU8NY86Z3nSzYnTyAA8Adt92CD133n3He2p6n+nu7XlyyeOAiEdayDmsim7EUv5PcgzECi0mQCwFUG7LKUTOQHW91I1pTDUkDxbxtC26kgGL80LELPwlgfaWIHRxoATQlJALS0QA+f0k5Yx/aZl/a/nW6TXbLSWt8fz3Mk9V8D0ZiCsSoAGNx+0eAwA8tzFYtVGsMzSDm4n5AMFejmJoFypUQ2XwHlq08YyJbGL7+SLn7fwbI4YxzfvNkQu6VX2Smxydv+G0AwPT09LcYs6wtTzz6maef+nFvvTqLcUIwNSu5oWNT2JYEhOdyHK4EOFCRv6pNhNTPqarDklp0tVox40c24kVMaRFIeUoNx1KUJKNEM53Ea/SYaw2aarNt3kHm2ZY6puS+InEypj210SGYHiAdQqiPA3rhKJMgmPEGOr4kKqzKQhkBmAMqNWBiOoNaQyYm2xbg2AKewzE+IfDCwTo6O4pYe8b5h89ff87HgyD4VrHY8UpDq+14RWXChUZHRwfyWfr19evP/cTY6ecdHhrk6Ok8iPEJWXvAsSnyWQt9XTbesJLh6otmkc3P4PBciGmfoBHKCqQhT/Z4aWeN4wSHuJkUTaEhlsdird0cZnuNeGPqFvM8PtZBWu/GwBVJy4xWQOtGvOb3SOjXAgn92iytrJ+H8blMdaW2rQCe00BnaRblxhS+91CIJ3aEODjJUZ4jaDTlFWCgu44XJibBLYYrf+W8w2edtf4TTZ9+/VSBGzgFFtwchGWxZef01zoHzgk6S+ILm3fe3clFAEqBjMtQzDN0FTlG+gOctqSORX3TuOGfOA6WO2FT2YtH0CgOrq0kGC80Y0qjrboeqajQ6P10rJ5AUsI0g+7EcZnqY5yX6FYkNsjji4PPosfGgjDxBvqYoru6vmLsvonqpmjPpLm3ajljsQBZr4Gpyhw+9e1OPLIlgzOGfAz3coQhwChDNiNLal90dh49QxunNlxw5sccu/JNQnpPBpTmHacU4ACwbkUHGkHz5unyBZOhPbH86iv4557Z+gs76wGlnEBnIUTO88EFw+Vn+Rj6XgXjk0UEPNEUOvqxTaCb4E5bdtHGykaXdBgFl6Aj7nSstYDp3SNt3kTQ48d8O2wmjy1+TKPk6ZQEGO2XPDhtnfVxa6lRF/mJQM5FVMYtPqtkKT7X9nFwUuDezSXksgzVBsfMXAjGCBgVcG2g0HOuv3Fd5YaeJec+R0j+DkLmbw51ssYpBzgAuJbDt2575vbrf/uXnT27d1UX9XlfObh/Kylm52ghF8BzZYWsMCQwXXTzLc5MGY6mFlAt1lskgW0aMQHdaVoVsUxZ8TTCI4/fQiF+5kgoG63fLf0w5txEAs8EN1GWOUW5zB73OoZKV5plGuSq7ERceln5GhA7cKKFN5NdF+o+UKkKUOIjl3H58rEzRalnxQd7lyz/58OHjzSHFnWfalgBeJUAHADWrlmNnTu3NxcND9xMwe/tLlZ/nYYv/FnY2KfKL+sGshSEUpUkgShAq6XgpnKssJSKoofu/wIgwbvTC06qC1Ua55ZZKlDuqwKcdNx0y9EdD49Jcm15p9Vi67INpgUHkscojAApbuiqybkQsbLDBTgh4FSqIiykMqaEM1X4BwAPEQpZ+nt6zsfg4BCGRgb/+/Dw6HcKxd59u/Ycao6NjZ1qOEXjlC0y240VK8YwMjJay9n7t1+y8azPPDs5etOB+urQD13YVhMTswKVhgfLYshZAo6lIxGTDhDpHdTeQ9nx2zJkR70vgMiJxIUM1tdeVN07MtEZQSC12BQveT250DAteWJtgXZXKQP01NSuAe2Y58pBJv0I8i8MaSTvaXd73N4k9lg2AwtN30LTd+A5DMViDdVGiHzOwm9ctSR8z9v7brrjkY2feWzb/u0jo6O1VxO4gZOsgx/r+MpX/wWFkYvFh3/n3fd+7Z/+t5vzwnM8a5/1j3dwfP+hHnTmLHR6AllbqAahIgFmRqWOzphsImpREm+nAFSYJxf6x4/r9sV0JenxI4hd9QktG9rrOp/mrfdNP57HmZO6bdX2DedLdExp1z2is0T32kmAWRiiqf4e1HDTq+PinICHNBIVh3sbaPghJiZG8Y6rL2j89m9c85enrb34T+/edLq4YuO7TzVs2o4TvP4/saNWnYWXqUGE1qf37d+6/r03/V+6Y6+7ns1NWsNdFDYjaPiS8zIW9zS3KMAs2R3Xjiw3VEcDKS02fYGGL9D0RSQ1RpNCdOxHHDci/+Rji2lPq0GDojgT/RoSxaLEdCkZixLdEvNxHIfCmMpyYiohhImoux1jApay1kzdRsBWJ2sQSu9io0nR8CmCUD5H1OdaTF0FVTMxiwlYTN4yJtsN1hsWGAvQXZzB4KAdTFbw8BR7P186uvbhuQb5RH9JoFQqnmqozDte1QA3x5/8zW2wbKcwNzv71SP7dr/T8g9Rz5nDroMCBycY8p625hJcNgMcm8CxCWxLglwGVBH4AUe1zjFXF6g1BfwgucZMAo4ocClQ6KsBI9FJEANcBlyZgVZsAYDrz9ABV4wZwVUK0BaNr1ASgLFnMb5vdJfWFaYEgR9S1OoMs1ULc3UGP5DHSAlgWwKOLeDaHK7NYVsclAkwImDbHPmMj/0TwPbdGQz1ZnHGmgIfGen/Fy+TfV8QBLMdwyfXI/lSx6tmkXm08Wcf+lU8sfX5Wdf1PjQ+vmzni7ufPH2we+8137zjGewa70R3gYIRgYCrmnoWlJeNwLVlf0XLkuV5g5Ch3gwwVw9RUxbclBaZqpctM/t1s1LEjhPMp39L82nmtovU43ZjoWejzCWt5ykQJ1zpqlepbt2opUKHy+OdqViYqRAEASLPY6gWnRZTNQWVtOmHFrgI0ZGvYteBWRyovRmL80O39o2e/lRHX/+X6o36bEf/ilMNh2MerxmAA8Ab1i4DgCNhfc+f0g3XLN729C8wtmrwmoOHd6BgV9DTYeHJPYAFqctajMCxCDyXwXMYXJfCtQHX4ugsBXj+SIDxsoOcLS/3lrKq2n0dyWq6a7D6HubCLz2EQEvoQHqQhTa28/mbn6sWlDFV0a50AUu3cVStHD0nwIuTDE/v60C1ImDbBK5N4TqyJDIlgGMRwBXIeD4IfDy+PYdSjqBY6MQlF56JCl97a3fXudcfmp3eM7z42DsrvFrGawrgejBvMR58YnIPs87+2MoV3TefuXrtRw6NP3eRE27Bfc8cRJYW0ZWX/Nt1KDyXIZehyHlAPsvRVfQxOlhGtmMWn/z2IOqBjYLD4TBZwoIzwFIZASRUxSdpSkFpA0iz6lS0QRC0k1pMV7x5m3jS9JYaTxFtvRUPty2uuLMEt20F8Fwfrj2HTbd6eOiJPFZ0c3QWKHIeQxDK0nmMyqubEEDW8yGwH9v2nY6rLl2H0VXL7u/sYl8qdI4+CUzuIWT0VP/sL2m8JgEOABve0AUAO4UQOwE89ehmMTgyMPoPjx/YumLzT7czxw7g2IDrMGQ9inwWKGQ4SvkA3aUGBrrqWLdkDlzUUfYdWCpqMaSy651gUjugRIApi25SDWlN46jBKKZJDVk96ihmPAVu0uKBjBu7apDLwqN6cSkXh7YVwmIh7KjrdADPaYKxKrbtyWB8iqLLkX2TOJdSKAjAGINtA26NoOm7GFr8lvCqK9fv7C6Q948uP38cwPbjK53x6huvWYDroX6A7YIf2O774cZLz88Mv+2tG7770EMPFA8fOpCzSAOFrEApx5HLhMhnAuQyTTh2EwRhVCQnEASNUKg20gKeKrVAKYHFRZySpSTAOBzXCL2N2vbF4F5IJ2+rcasXCUhPIoQAVT119LtpV7vFBGwrhGOHcKxANdvVrdJlxqUFjmYgUGkAXk2+a8gDCFWPpqOYR7F7YG7lG88rO3blHes6V+4H2J7XOrD1eM0DXA9CByAE37Px4qF9lUplrWuL8yDwj+MvPh/UZ7d3OeRgAYLDsnxknCb80Mc9j3loBh46PLmgrPgyQtGzZI1tSqRyoVu0ABpcyfQzbWGj9iKczBvv0vrFtcauav6pzdrK6pomTCARA8+IAFPW23V8eE4Tjh0iVM6Zum+jlHNwyZuqeGx3gHLdQsEVsBiBzwn6+7tmzzp7zeTa01ZalkXeW+pe+tNsNjfTJcApfX2AG3iVeTJf7iCyIxsvl2enhgcH7ywUC2PfuPmu5Zdc/vY/X7du3dZCsfdx1yvVs1kHc406Ht6WQ5bYGMwF6MhweFYDGTaLmaaPaZ+grrtRK4qiJUSLStnRsQlslWIHaKeRchwZwnraGEYqDDS4k7IhIFUOPyDwA6j8R+lu1wnClMpFpWMHyLgN5DIVCJTh8wbKFQ+T0zk0mzmcPdZEhz0H18uiq6tUHxruf/yNZ5+79bd+611/vvm+25bn8oWxnt6BO2u1yhQh5HUFbuB1ZMHNMTw8BMhwk+rs9PMg1PocY+xzg4tWs0w295WCd2Ts8We6NswFPlvWC4x0CvR3c6xcOoeBngn8608zuPPnA6gxhqytFRSJSEoBy5Kyo2PLEnSBzxEEIfxAdjazmLTw8qSIPZiAYel17AsxFoxMAr7hkwjchBC4tvxcx4oXrDqU1bEDuE4dd/8iwG0/LaErm8XKvgyWjziwbRtLBj2886qlYS5/5oNL+7LbK5XKdYdmgzDjefjNP7hJjIwurp7q3+uVHK9LgJuj0LEMiKlwMFc5/L5szulcFGz4izeO3etMje8OzxzLv2nNUvLmvuJ+LO6vYPXIIdz/eBHVoICORPKntNYWk9JjzmOwLeDINMfkbKhAJ5UJSgVsxCls2n0PSCtvUhgp1wm4juTVeXBUawTTZQbLJuCezFcNjZNCnhgcFvPR9Kv45Dfz2H+gB+euKqCn2IcaZz9violfDA+sZX/0gauaIe3/IyLqU10dPQCAGz96qn+ZkzNe9wBPj1y+FwCmAHwAAB77+UMQIBdlneoV5dmxdzTdyVWF7r0o5A8hDGxQUkOzGYCHgM0ssJwNx6bIehSdRYGejgDF4gye3s9Rm8uhIydd5ratQUhgWdLbyQUQBAKhWrTqfFPKZMpXPhOiI++j0pzFroM2Jqey6C5ZIJBJ2ZwTUASgqMP3OfyAwLJtuG4B11x+IXLuIFYMZ591vdx3uzu8H5W5uL972UUAPnKqp/2Ujf9wAE+PM998AQDcPzE5c38v8EDGbix/4dA4z+Y38dOXDi9dv6r748/t2oeAW6jMHIDfLINzWVOxswAsHZxFb3AEtzxcwAuT0gljWwRZT7rtbYvAdYCMA/iBwKG5AM1AwHNY9DwF4Doc+WwD/d1zqBycwhP7SmhWXECEAAI4loWsy5HpK2B40SLM1YBS9wjc7HOfyVg7d73v2suo4w3Tjrz9HIA7C6cwTezVNP7DA1yP7q4SANypH784fhCe63bse2H84YxrYbZB/aWDqz/q2bjcdShyHodffgT9PRN4dpuFHQc6kctkMFOvw2ENFLMiilOxKNBVCBCIGn6+Q0D4Nno7GHjIwDlF1hFwWB3dpSY8j+FNYzZWLQUefMyBmyti4xVno1RwkPMIshlxV2du4gt01rJLPWeg2HXl/YHfmF5eOrWpYa/W8f8BPs8YGuwHgGkAtwHA/v3jAPAM57yfUXBKArywfQtcV2C25mCunoGd4f4vXXHujVY4e1VvifvdHTYYJbCYQF9ngJDMYXeFweIOeksUFpOBWV0lYHSI2/191r81Zu67sbPDsXu7KASzkM0VcPratchlHTBGKGP0IIBda1cOnOopek2M15cmdIrH/7r1QRBC+qeOHCh15kLRVbIBSJWkuxggpFU8tIXBFg66CgRUCd8dBYHFg4QMDHTNCIGDnYOXnupDed2M/weTNxhNaPA/hgAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QyMToxNjo1MyswMDowMMqAg88AAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMjE6MTY6NTMrMDA6MDC73TtzAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 264555000
{'hecke_orbit_code': 130604389227304336, 'n': 1, 'trace_an': 1}
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id: 264555001
{'hecke_orbit_code': 130604389227304336, 'n': 2, 'trace_an': 0}
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id: 264555002
{'hecke_orbit_code': 130604389227304336, 'n': 3, 'trace_an': 1}
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id: 264555003
{'hecke_orbit_code': 130604389227304336, 'n': 4, 'trace_an': 0}
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id: 264555004
{'hecke_orbit_code': 130604389227304336, 'n': 5, 'trace_an': 1}
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id: 264555005
{'hecke_orbit_code': 130604389227304336, 'n': 6, 'trace_an': 0}
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id: 264555006
{'hecke_orbit_code': 130604389227304336, 'n': 7, 'trace_an': -2}
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id: 264555007
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