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mf_newforms • Show schema
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{'Nk2': 2712, 'analytic_conductor': 5.41385725704281, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [113, 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': [678, 1, [227, 229], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 469, 'field_disc_factorization': [[7, 1], [67, 1]], 'field_poly': [4, -5, -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, [4, -12, -1, 1]], [7, [11, -6, -2, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679889574, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
Hide schema
{'ALdims': [3, 2, 4, 1, 3, 1, 0, 5], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [0, 1, 1, 1, 1, 1, 1, 1], 'ALdims_old': [7, 16, 12, 10, 9, 15, 14, 9], 'Nk2': 2712, 'analytic_conductor': 5.41385725704281, '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': [678, 1, [227, 229], [1, 1]], 'conrey_index': 1, 'cusp_dim': 111, 'dim': 19, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33555110, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 4], 'label': '678.2.a', 'level': 678, '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, 113], 'level_radical': 678, 'mf_dim': 118, 'mf_new_dim': 19, 'num_forms': 11, 'plus_dim': 5, 'prim_orbit_index': 1, 'relative_dim': 19, 'sturm_bound': 228, 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150, 80, -124, 78, -88, -20, -8, -6, 150, -192, -38, 40, -102, -2, 24, 4, -28, 80, 84, 20, 68, 156, 238, -16, 198, -18, 44, -56, 80, 96, -184, -2, 83, -84, -28, -38, 156, -88, 164, 11, 160, -76, -44, 1, -220, 8, -6, -34, 14, 76, -56, 26, -34, 212, -16, -22, 52, -116, 32, 40, 80, -16, -32, 0, -68, 128, 208, -20, 42, 84, 6, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46777195
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532396679889574, 'source_is_minimal': True, 'source_label': '678.2.a.j.1.3', 'source_level': 678, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532396679889574, 'target_is_minimal': True, 'target_label': '678.2.a.j.1.3', 'target_level': 678, 'twist_class_label': '678.2.a.j.1.3', 'twist_class_level': 678, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46777196
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532396679889574, 'source_is_minimal': True, 'source_label': '678.2.a.j.1.3', 'source_level': 678, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071484402, 'target_is_minimal': False, 'target_label': '2034.2.a.q.1.1', 'target_level': 2034, 'twist_class_label': '678.2.a.j.1.3', 'twist_class_level': 678, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46777197
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532396679889574, 'source_is_minimal': True, 'source_label': '678.2.a.j.1.3', 'source_level': 678, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 162129586618897712, 'target_is_minimal': False, 'target_label': '5424.2.a.bk.1.3', 'target_level': 5424, 'twist_class_label': '678.2.a.j.1.3', 'twist_class_level': 678, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1200650
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 40532396679889574, 'p': 2}
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id: 1200651
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 40532396679889574, 'p': 3}
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id: 1200652
{'charpoly_factorization': [[[4, -12, -1, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 5}
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id: 1200653
{'charpoly_factorization': [[[11, -6, -2, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 7}
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id: 1200654
{'charpoly_factorization': [[[-2, 9, -7, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 11}
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id: 1200655
{'charpoly_factorization': [[[-4, -12, 1, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 13}
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id: 1200656
{'charpoly_factorization': [[[49, -28, 0, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 17}
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id: 1200657
{'charpoly_factorization': [[[98, -21, -5, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 19}
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id: 1200658
{'charpoly_factorization': [[[-121, 80, -16, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 23}
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id: 1200659
{'charpoly_factorization': [[[88, -84, 2, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 29}
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id: 1200660
{'charpoly_factorization': [[[-463, -58, 8, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 31}
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id: 1200661
{'charpoly_factorization': [[[-4, -7, -1, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 37}
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id: 1200662
{'charpoly_factorization': [[[112, -28, -8, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 41}
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id: 1200663
{'charpoly_factorization': [[[94, -31, -3, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 43}
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id: 1200664
{'charpoly_factorization': [[[-32, 35, -11, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 47}
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id: 1200665
{'charpoly_factorization': [[[398, -71, -5, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 53}
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id: 1200666
{'charpoly_factorization': [[[-4, -12, 1, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 59}
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id: 1200667
{'charpoly_factorization': [[[596, 230, 27, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 61}
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id: 1200668
{'charpoly_factorization': [[[1298, -91, -15, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 67}
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id: 1200669
{'charpoly_factorization': [[[1, 80, -18, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 71}
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id: 1200670
{'charpoly_factorization': [[[4, 1], 3]], 'hecke_orbit_code': 40532396679889574, 'p': 73}
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id: 1200671
{'charpoly_factorization': [[[-112, -28, 8, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 79}
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id: 1200672
{'charpoly_factorization': [[[8, -23, 13, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 83}
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id: 1200673
{'charpoly_factorization': [[[-226, -205, 3, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 89}
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id: 1200674
{'charpoly_factorization': [[[-1574, -267, -1, 1], 1]], 'hecke_orbit_code': 40532396679889574, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '678.2.a.j', 'level': 678, 'portrait': 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haBgVDDifM1ekNDuy5oeAJJjO8ntBsJ3YHHiQUItIc2hsu2hfQGCWeXHKZaLnu2xeza3KfZCBDSEIaCzqDOYsdjqiFwpcvZBY/DZwTH52NOLsf49QGvuqHP628EX05y4ESbk+cV5zLmXjQcWjK88MpFfuntq2ybmuTEuWnml+ssrLosrkiW12KWOhGLqzFH5g2TmyV/9POO3r3t2g/1gi0/qsSwu+nCt3yjIfHXuv2dBvjKapfTKxHtmvy1SfepF+vlD8gvPbb64if2nXN++FscuoPNzC+1WVipsbjmsLQmWFlLWOlELHcSzq3B0WXBptk1fvl7l3nR3ganzk9zdqHJ2SWH88uG+aWY04sJC72YyekRL7m6z02XgSfr+Mrn/EqNc0sO8yuCQQBxrKl5mmYtYWoiRgMn5mO6fdi92aVZDzBGgPDoDzW7tgQsrzlgrBRZ60MQg8Gw0gnZvsmlN1QIZRA6oF1z2bV1xNpAcOKsQ6IdZtqSVk3guxDHgkEgmV+RnFs2nF+N8f0RuDE3X9HnxVcK5tp1llfbnDrvc3YJzi/FnF+JObMCR5YNL7xiiX/3vatsnWxzcn6a88t1Fte8dBXUrHQjljsxSx3DyVWH5aDPj73+GCv9PfEjB3d89Vf/5ev0a2+7+KtCBD8XBpP4tfY3GirPe/s7G2S+8z0fYXqqzbn5pV/9nx/4wr9YWrzL39w4jTE9br0hZHbGECcB7YZHGEmiRJBoB2MUBjAAIkFKw9GlKf7dnwp+9QfPc92FIa36NM16i3bDp9VwmWwrzi8r5lcdvnB/jTvvi7lk54DL9sSsrA65fGfAd71GE8UKgeFTD9RY6NSoJwHHzyn6/RbXXJyw0I3Zd8Bl707JobNw86XQ6UGoHXwnZLYJB8/UadQjfBUz0RKs9eDGy3scOe2zd7fm2NmAZ4/Y3+fuHHHkvGGiFbDSDfn0FxoYoUiShNuuHXDLdYb5NZfrLhpx0TaXOGozGNbZd7TG/JJgcTVhYTXm/Irm5IrgfD/k2r3L/OL39NnUnuLEuUnOr9RZWnNZWpPWWelHdPsJ3YGhM5J0Iuh24OFnfW666ojz2heev3Xl5HFWTr3yltrMG3Sz1f43Tz/yMa6+4U3faMhsePs7yeDv+8BHue7K7epL9x3+xSMn5v/N/Y+fUEeWQvqBIQlDLr94hd/+iWWuu6jO/PIUy2stljs1Vjoeyx2H1R6sdhJWuzErvZilDpxaFTj1EbdcucJ33Bpy4aYma/02Cyt1Flc8ljqClY5muaNZ7Wm6Q003MAxGMTPtiF2bNSDwXcPpBRchfXZvUly4zbBt04DzqwFPHmpx/SWGRn2VZw5P02qGhKHLzJRmOILLd414/5cmuXRnTBAYZickUTKkVfN59viIutvk2r0xTx0NOb/ssX3G58KtsGtLiFIRp5fAcw1CGHZvjplqSXpDn/7ApTtwWekqVtZguaNZ6SQsdRLmO7A8Sti1vc933LbELZc51Nw255baLK3WWFpzWOkKVjuatV7ESi9htWdY7sG5nmJhLeKmy87xn35ikSv3OAxHNda6DVZ7m0jUZYlb2/qr3ejyX6mrE8ktt37bNxo6625/pwB+8MABavVa/czp07seefzZtx05duY/PHfwNINQsTaUrAwFiyNBdxhww8UL/OcfX+EFe+osrEyxvNZkteez0vFY6TqsdmGtp1nrxaz1Yla6hvMdwdm+AdHnTS/t8LoXafZsrRGGDVY7Ndb6Hp2eYrUv6A0Eo8AQxoYkASUNvgt13zDZNmyajnDcEUfOhTx92EfHTV5zY4jjrvHovgku2Ap/+VDMS6/yWegMqTmKOImYnoI4cnHcmOXlBi+5rstf3t/iwq3wyKEAlwa3v0gTiyFPH0k4drqGIz02TzlMNQV1X+B5AiUg1hBGhlEIvYFhra/pDTRrA81y3zBMEnbvGPC6mzq86cUh6BbLaxMsrNRZ7rj2OHVgrZfQ6ces9RJW+5rVvuBsT7HYjblh73l+88cXuOZCj7Vem+6gTrdfY7Xrs9pVOLWdePWtv7B526V/vn379pNBMBpefMml32go5be/MwA/ceIQc3Nz3pHDh7//wIFD73jw4SfE0nJfDgJDb6jpDQ3dkWBtJFgcSZb6ITdessBv/PAK11/ss7Q2ydJai9Wuz1rPY7XnsNYTrPUM3X7CWi+m09es9g0LPcG5jmZqcsA3vbDHzZfF7N6saNddur0avisBRRhLtBZoA4MRIDRTrRGHzhi0CbnrkSbBoM7F2z1uuXpApNe457FJrr3E5dB8n85qm5uuHvCFR302Txv2nTD8kzd22XfcZ/O05POPKW65XLEy6HL01DTX7g255+khcdDg5is8Lto5Yhj3+dyjChLBkdMO7YaDI2AwlGgjSLQhigGpcTxNp29otiJ2bg148eUDvun6mJlmjfMrEyyv1Vnt2mOz2hV0+tDpxXT6MZ1+QmdgWOlLzvUES72Ymy5b4Fd/eJEX7PFZ6bbp9uv0BjW6A4/uwKU7cOj2BWFS07v3XGUuuOCin9xz8cXvWV5cDC+77O8GyP9OADyOIxmFwzc8+egdF691zG8+/Mgjbm8gGASGwTCmP9T0Rxbk/ZGgEwgWh5Lz3ZibL1vg1394iesudlnrTrC41qLTq7HW81jrO3R6is4Aen1DdxDT7Sf0h5rOwLDYFyz2IUoCrrlkyJbphP7A8NqbAi7YookTiSMNYQR3P1nj5EKNrVMxzxypgW5w2Q7FdZdq/NqARw8NWFxqcuUFTdqTq9z/lMsNl9RYHqyxutpmyxbDQ/sU3/OKPg/vc9ixyWWp32F1ZZrrLh9w/zMJ0/VJrry4z0Knw0PPTVJ3mrzwUsPeXSOQfZ48Jtg0HXF+MeKeJ11GkUJKSLThgq0h33RTSK+v2Dalue4SCMMGK50GKx2ftb5Ld6Do9CXdPnQHCd1+Qm+Q0B1o1gawMhSc6Qg6o4Bb9i7y7394lRfu9VhYnqAzqNMf1OgNXHpDx94Hkt5A2IujF3HtdS+MosT5/77rbd9yuNWsf9rzXP2NxtY3PMgMggFROPzeM8cf+e3l+UPTZ+fXaNUlIBHCpFdgjBAghUYpg1LgSI0jHR4+tJmf/UOXN754he96xQoXbguZX27je3XqvkfDd2nWHXp1SWvoMtF0GIwS+sOEzYFmGBh6I5+VxRqnTxnCWHNmPsb3DSDwlMGRgsFQIXCJBw4vuEBw0TbDru0DgqTHZx5W7D88xauv97nu8lXe+xmDJxpcsH3AU/crtk8qZtsDaqpOGLks9KBZc9ixWfDE/pDr9ta59dol/viOIZ7b4lU3Glx/wBcfCvnLB5s8d6zOnm0NLtiaMDcVcuFsxFUXJCilcZQNqRu+z9ykTxi59AYezxxy6Y8cBkNFfyTpD6E/MvQH9rv3hgn9oaE7NKwNYXGgmF/VNNsdfuq1i3zbLQHXXNjg3GKbTr9Of+DRG7r0hw79kaI3lPSHgv7IMArtKnL3vQ+7jdbMb2/d+tDKq2678V/0+4M/bjYb//cC3CR9EPzQqZP3/dqJg1+cDgY96r5vM45YgGXJViESpAQlNUoYlDS40uAryVOHZ3n8UINDZxd444v7vPiKEZOtNiudBs1ujfbQoz9w6KUnezhyGAQOo8AwCjVhZIgiQ5zYexh7GA1SCVxHUPMEky3BVAu2zGp2bB4wO9Xhs4/CvY+7SD3Bq693ecFlPe57LiIctbnlBYLOcMjCcpOb92pmJwfUHZ9RrFjsRigteMFeh0Yr4LEDNV523QQ3XdPjsQMKzATXX+Hxg69f4QtPhHz+4Sb7TtbYNafYMl1nqtVgogV1H1zHoCRoA/uOCZJEEMWCMIYgwn7HIGEYaEaBZjDSDAJNfwjdABb7koUeBHrIK69d4Q0v7vDdr9LEcZv5pSbdQY3+0KM3dFJwSwYjC+7ByDAYJQxHCaPQ/t5zS+f4kw9+dro31P/pW193q7O8OvzDman6/30AP3RiiUNnkh/0w8/82mDh85vqbohu1pEqwSAwRmDrqARCKKQAJUFJkTOXqwyu0tQdwdKgzge/tIMvPt7lpVet8fZXrnHVhX1mJhssrzXoDX0GQzcFtrL3UBBEkigWxLFd6u3ftEGl40DNg0ZdM92K2L5pQEyfQ2ciPnRPjaOnmkz6dW64wuHmq7s8dLDDXQ+0ufGSGru2Dnj/lwRK+LRbEWv9AG1ACZhrD+j2PHRc5w0vXeCDf9ngovM1XnfjgDBa5p6nZ4iSGi+6YhOvu6HLJTs7fPGxAU+davDkMY8d05LptqDhCzzXXoRSgBAGbUBrQxSnF2tkCCJ7IY9CGIbQGwlWA8FKD4Qz4tpL13j7N63x0isSZto11rpN1np1+kOP/jBbCTJwCwaBBfcwBfdglDAIbLAbGcWRMx1+50++sGkow1/70bfeZIw5+0dCbPu/A+B/+Ed/wsnuFJ+4857ve+rY2m/eeulnZ1977Qq0ZwCFMWC0SI1siRASIQRSKqQSKJngSIEjNa6j8RyD5xrqrmB1pFhem+LPv9zkwWf63HLNGm9/1RrXXtRhJqkTxz6DUY3+0GUYOISRIoolcSJJtEAbgcAghcH3NI1ajO+FeG7AmeWAOx6RHD7tcez0FEr7XLTV4/ILFddf1kX5izx9pMX2yQZX7oEtc6usdNtctV0Sa8NnH/YJBpLJZsztLxrx6XsiTs63uPRil3NrI5496rJz8xTXXLjIfU/1uP9ZQRB6XHbhNJft9LlsR48j51Y4fAYe3t/g0NEmDUfgO5Kmb6i5IKVd84yxF2ucQBhDmAj6gaA7EnQjCHWMNiNeeEmXt39Tl5delbB12mMUtFnu1OkNfAZDzwJ7pBiMFMORYDCSDAPbNzoMEnsfJelrzSCA/kiwFricW17m2Sc/vGl068HfnF/dGffnP/De+x6F27/5u/7hAvxjH/sL3v/he/jW197w3Q88cfK/fepLpydl2OfV10Y06yPCWKEz5hakuhuklJa5pcJRAsdJcByB6wo8R+O5hppraHgJkzVBL3BZ7U7x0XvbfOnJEZunBrzttg6X7RwxGva58kLDzi2KIHJJEkWiJSYDt9S4TsKJ84Zj84K1oeaT9zU4szSFCV2maoptMw67tzjs2Q5XXtRFyyXe+ekmKysT3HiZw5UXdfjikwIRu2yakjQbMYPIQxoJRqIcj85IcH5FcIVpcNv1Pb76WJ1tsx43XjnND7x+iff8ZY+HDzTpj1yW11pcuK3OpVsHvGhvjze/rMfZlRU+eZ/P8sDnxDmXM2c8XCWQUiIQaGNINETakMSaqZmIq68YEAQRl+0MeMttAZsmFNMtnyiqcW6xxmDoMQjsKjccKXsPLWsPA8EowK4EKbhHaQyTgzsQdAPBSiBo+SGXbDrN+ZOD2cPzL/xvz5o90dbmoT/72Mf+gje96c3/8AD+yH0f5oUv3ibq3i1vPXb89LvOnDvZCGLD5x/2+Mk3dLhg84hR6KJTsNno0iCEk2pviaMErpM9WiB6jsBzNTXXUI8MjdAwUUuYqgsGoaQXNjl2uslv/Nk06BgRx1x/9YALt4TEMWijMcYmcaQQSCVwXI8DJz32Ha7RrDm0PMlsQzA3I9k07bBtTrF7a8Klu9dIxDL//WNtTpyc5Ma9LpddkDCMezzwtM9k3WVmwjDZCmnUrRTSWtIZKVb6huVOQqdf5yVXrvHIvgH7Tyom2zVedMUkP/yGZX734/DY4Sb9oWGt53B+pc2W2Qabpkbsnhnxr946oN3o8NQxOHBK4roGpQxCaMDY/zcQx3DBloRbropJIpco9jGmwSh0mV/yGAZ2RRuFKpdvw1AwCgSj0LJ2EFotH4Q6lTuaUWAYhpphAINQ0A8F3VDSjTRXbBpx+00BjhNy+szxyZWh/67zU3vis2sTH/6DP/yA+dEf+j/D5P9HAN47806a2/rqxLNPvqkuVt+7Z+5g7a2vWeXwOckbb1tj7+4AHbvUvACtRcqmKYNLg1IOjjS4aW20owSeq/BcSRBq/DAhiAz1SBNEmjA0tGMIIk0QQxgLRpEkSHyipMb+w02e3A+JMVhoW23sSvCUrflo+XDlVmjXYaIpmWopZiYdNk3Dri0BW+fWiMwK//1jExw5OsF1exR7dkgu2rHKl5+NOb88wfUXSqbampo3xJc+RgniRCKMIU5CVvs1zi+7XHdZnRfs7XHfYzU2TwkatRbX7dX81JuW+W8f1zx7psVaX7PWUyyuOsxONplq15lqT9BuRMw1I3ZfF+K7Ma4To1SCFDaYMNiLKooUC4sOUayIYkUYKYIofQwlQSQJQskolAShsAFqKAhCQxDa4xoE9jhbkFvNPYoKcPdCwVoMWiccP2n4wBcVb3jZGn9+3wSL5w82brgyfK8/Feun1i742I//ykeT3/vFb//7D/DnnvqvHF6I1cTa8lta6twfXzB7ouZvF8xNL7Las4GRkDG+FxBGjmVvBEIYpDQ40uAogyMVjqNwHYnnCnsSXEHgKcLIAj2KDGGcWFckLt0TiBNDkmgSjdXbmhzcIg1gHQmuC74jqPmChi9pNhQTDcnUhGDTdMzuLQNazTU+9tWQe56eZm2pzdW7FLu3ulyyc0Qi1vjsww2arsPclKLVGPH0EXjuqMNVOw2DQHHNJRFXX2SYP5ewuOoxHDV4zQ09vvLUkENnFM26xPfaXLVH8yvft8zdzw759N2zLHcNuzclrHYcJtuKiaZLq+HSrBtqvsb3NL6T4CgrtaS058AYbMJKC2ItiRNBHAuiWBLGgiiSBJF1XsJIEEaGMIQgSghz0tAW3JGxoI9gGBpGkWAQWXCvRJJBlEA0AplwdlHyhx8TfPIeyVRbcuD0sdoVVyXve/G1/X981R7vIxf//h8k//rHfvTvN8Df/emtUhB8p6OP/d6u6adrL7lGI8KER48YHnquxsqawCTwPbcHtJsCYfGNlNpagjLBcVwbULqakavwIknoSgJPEEbCnpxIEcXYwqvYEMeF7RcnmiSx7kJiUqckdUtsAGvdGccReI7A9yQ1X9KsC9oNw2RLs3k6YG6qR2zW+PBXJO/5yxk21WpcvUuwa6vLBds0u7eu8rEHDCsrNS7bophqQ6sRcf64ZGHVx7sQgkgwNyGZnIRDxwyrXc38Uo1LLqjxiut73HFvjZkW+J6HkpNcdZHgR163gCsX+NR9Uzx3psbmbsSmyZiJpqJVVzTqkrrv4Hvgu+A4lhRkGsPkIMde2ImGJBHECSnQIUoMYQxRlFhSiDRh+hhEmijCgju24B5FglEkGEaCbiToRIJ+FKOHQ9q1Ht/zmjVee3PA8prktacXOXl+iBCSXZOnai/Zu+ddN1xxqVPz/A/8a8szfz8B/kd/8nHiWH/fnfcc/c93PdRpu81dXLWjjzAJJxYUx844EGu++GiDxc4aP/ntAyZbCTU3oTNIUDLBdTzcUOM6Dp6j8FyHIJKEKXNbxhGWiVJWimOIEkgS6yRobQMurU3Ww5mC2wJcKZHqeguQmg+NmqZVj5lsxcxNDpmdWuOr+0Ped1edA8cmuWDC5aItsGOLx47NcOmuLoO4y0P72tSVy9yUYrIFk62AqYkYz3MQwl5cw8BjpRuxNjB0+jELqx67trS46bIF7np4wIEzbRp+hKs8hJjgou2Kf/SqJV546QLvu6vFQ89Mstx32NSOmWzENGqSek3huwLflbiuwFESpUjtQ4tyg+1h1Zoc6HGi09XNkkIUa+LEgjuOIIxNcY9sqW8QW2APIkEvlnRjQzCMMNGAmUaPn3zLCv/qe3pMNCU6lrz8mjVOLfQwRnHxdomvjrRXOxP/fVh7obf/yU+857IX/O0Vaf2tAXxltYNS6od+/90f/bWzp0/NbJtyWBr6PLivTZhojDTQ0GBi1qIav/Uhj+eOdPiWl/W57do+m2dCer06wyDGdVw818N3nXTZVESRIoglUSQJY7vsRnHqaSek1h8pc0u0oQB36tJY5gZH2YSJ5xpqnqZei2nVYqbaAVtnu5zvDHjHJ10++8g0K6tNLp4T7Nok2L7JY8cmwYXbRjjeGh+8x+HoqSZ7N0umWpKJZoKUAWcWDb4jkQKMEYSRw+5NXR4moTtQrHYN51fq7N1R4823dfjIFz2On/dxnQghXLRpEsWS6y9cZfd3dfnsYwPe/9lpHj3eZPuUYLaZ0Kwl1DyB7wo8V+I6AkdhA2cp8poMg73ItME6LYkFfA7yxEo6uwpCmDF7LApwx9CLJb0IRmFCMgjYMdfh1uvW+NZbB7zuhhhf1uiseWit2DIl2DotiWOHzqDG+RWfTv/8zMTm/m9e+oI3q+Gw+4f1+t9OTfnfCsCXV9ZwXecH7vjMPb/2yGPPbnKVYbJmcFXCoCYYxpIwsXXSoXaJlE8n8vngl+rc/VSP6y7r812vGvDNN3aZmQgYjGoMw4jIdQljhyByiGKHKLIBU5RI4tjWhMexJEkEiRaF1taiqBE3hf1o0/42WeS5Gt9LqPsxrXrA7GSfYTTki08bPvTlCR56ZpIpz+Wq7Yat05LNMx7b5iQ7Nofs2b7KU8eHfPIrc0woh7kJQbspaDciOoOEv3ygRsszCGGBNQwc3nBLwJ0P2pqYTl+zsOqwY1OLN764z0P7e+w75NH0Y5QUFuS6wSi0Wv8fvaLD3q0LfPDuLvc/N8nJ1Tpb2oKJmqHhaWqOxnPBUQIl7YUsU9s1Kz/SqVTTuljh4hToliAgSgRRkmZFE8EwFgxiQT+BINTEYUiz1ueNt6/yXa/qct2lCVumJUHQpNd3iROHOFHEWpHEiih2CCKXUWBX4fNnn9tUa275tT2XvkyPhp131+pf/7FyX1eAdzodFpe7CCG+987P3vtbf/HJL8ysrHSoeRIpbErZU4aGIyzAE0GoBcNEMlQ+ketxuutz9sEmDz494CNX9XjLKwfcfssa0xMeYegRRC5h5FmAx9YViGNFnKQJm6QAuDYpc+uipkwIkwaVNhvqOBrPTfC9iLof0qoPSRjyhcckf/alSZ45NoGIfC6YMmydNMxOKuamPbbMSrbNReza0uXUYo/f/3STOKizY4dgsuXQbkK7ESHckO6wyWTLIIT1+KNYMu0rYh3Tizx6g4TVruLMYp0r9rT40W9Z4zc/4HNisYmjovTCcIjjGqNQsmXG5/qLu1y9p8+zJ87woS/XuevRSc526jR9RcuDpmvwHIOrwJH22AtRra7TgNH2oku0IDEQJ8L654k9R0EiGCaCUQLD2BDHEToKmakNec0r13jbK7u89KqYybpDFDdY63hEsZueEwvwKFGWgGJFGDmEoXVvwnCNI899aZNA/NaOC2+KO6un/0SoNu321w/oX1eAD4dDNs22v/X+Bx793c/d9YX2cNCl7iviBGTmiijwEmxgo21wU08EgYZhIhgqnyB2WRjV+NRDDe55dsiLPt/jp7+9z+W7emyaVLSbDmHoEcYucQbyRKXgliRaoo20WdE85U+lYMtRGseJ8b0YV4V0hxGL3Yjf+ViNYwtTPLZvEqM9ZuqCTbOG2QnBTFsxM+myeUayZSZm+9yAmclVPvu45tHnJrl6h2CqJWk1JO2GplkPEW6A7zs4yv59YyBJJMPAYTiKiLWw5cB9w0rXZX65zc2X9rnpijU++Pka9RWFIyMLSOMQJ7aDaRi4zE7WeOFFfV54cZ+Hbz3LiUXJ++6aZGGtwellH09Jmq7Ay2SYtIFnTuSZVMEyeWwEkYZYC4IERjGE2kASQxwhVcC2qSFXX9Dnp9/c44bLEybqDlHSpNMvnw+HOE6BncicgKxFKVOJaVfcwVqfRx++Z6Y/8n53zyXXrQaj4Se/npj8ugH82ecOsHnzZvVnH/jQxc/tO9geDbu0Gk7uZqjELpdOYnATQ6TsMhiXQN5IDIEWDB3J0PUJEo/lsMFdj7b56nMjmn7AP35th50zMbu3Dbn5yh6OULQaDogU4FphtEwzoiXmxiCkQQnr5RpikDHPHpM8st/hjodaPHuyRRg3aDmKubphummYahjrg7cdpiccZiYFW6Zjts0N2Tq3yj3PBLzzjk1snXSYa0O7qWg3Ba1GTN0P+OpBxSh0cJsWVMYIwlhScxTX7h3y4NOTtvBpmLDWdVla8zm/NMWPvu48p5eWefCJOVwJiAgNxLFDGLkEoaQ/dJhq1ZhsN7lp74Bbrx7wXS9fZP8pzZ0P1Xhof52DR5vEwiEIFINIodLSh2rgmeYEjCbWBqM1rkiY8EJqRNx0XZ8Lt47YMRvx9tsD6p6kVXcIwzqdvkcUuSl4U0mSqBKoLelEKdDDuBQrxYIokQzWevQf/mr73LmFi1/7+m9XZ08fTrbtuPjvDsCfe+45tm+b8x548OHvHwyD/7ywsEjNd0kSgxKgFKi0K8ZJ7Sk3McQ603uCWBu8BPwE6toQJoJRIhg5LqPEZaDr9HoJv/XBKUwcsXluxBW7RsxMxLzlFUN2bQqJIpHqbQkl5s7T/lIjpOCjd9d56kgT4TicONvgzPkGtbpiwhdMNg3tmqZdg1ZdMNFQtFuKqZbDzCTMTsZsnhmxfVOXxKzx0a+0GfabXLLD0G4oWg1Jq65p1WJcN+SzD9YIBhJ3E8gUTFEsadYVr3nRkHsf1/QDSX+Y0B04rPUc5pcbXH5hi7e8tMtjzzY4sdJCSQ1EqV52iRJFENnETH/k0Ol7tOoNmvWAy3eMuPHSEacWOhw/t4bjJjx51OEjX24glLLgFrJ6Eo0GNMYY4jBh9+aYt71iyGw74dLdhs0zkMQuQdgiTlxWu04B6NhJa3oycMtcMlrPXVkTIJGpLSnSeEmkvbSKbncZIcL//Nwzjw6mN134noMH94d79172dwPg8/On6XSW9p48ceodTzz+qPQ8idGQSCtLVGLLW5W0jJ3EhlhnbofJC4NskFMEOw0tiBIItSBMJIGWNijVsNhv8+WnNIaETzwUIURiT5LRZMg2pBaZsBWJQkikUsSRg9QOriNp+XDhnKHpahq+puFDwxc065JWXdFuOEy0JFNtmJmImZsK2DbXI2GV3/mLGvc9vYmLZmCqkbJ3Q9KqxzTqIc3GkHq9ga8kSqYaHCsHoshlNBQMg4ReoNKGDm1b5poep89P8JIrAn7qref57Y84nFzzEUJjTIRODFHsEkaSUeDSHypaQ4dmzaNRr9HwG9T8iFY95PpLQjw34oZLYt7+ygGOitMkkEYIUxXlqaTT2ha5+a4CPEaBw/KqY+t2UimYgzmpxj8FuEUV5Nm9BO448+ITQZIYHn7oUdkfynfMrQy+EobBM18PbP5vA/y+uz/OxISsHz9+6E0njx0Rk20vB24ca2RqP6nE4KQ2VCILECfafrkkBXaijX1MWT3WEGuTvobYQKQFkZbERpJoh0j7JKntVb7lWUoBjhA2U6mgVjfUHENNJfgu+A7UPEPdF9Q9SaMuadQcC/CmYLKlmW7HzEwGbJrus23TMu+8Q/P+uzazc1Ix29K0m4pWQ9FsQKOe0KpHnFvWHDnnU/Ps6gVZpZ9gFDpcuEWzZXZEd+QxHJmUxSVrPYdWvUarMcnbX7nA0XPzvOuT23Gkg0GT6IRYG+tKhIphqBgGkkFN0hg51H2Xup/Q6dkYw3MTXCfBdRMcaRslpLTpfJHebemKzbJZkAs6Oq2y1Glck8Y3iU7BnL7OwZ2I4lGL9H2qAE8saSUZ0BNbKxMntpjr/gefEBdc2H3Trl0XHPnTP/vI8O3f/b83f+V/G+CDwPPWTi//7Oryws+iR7JRl4Sh1dVKCpzEECUaVQJ6oi3YrdtRAnkKcAv29LUhT9JkafZEp3XPBrQReaBU1tyQViIKG1jZDiDSOnJwlcB1jPWNHUHNl9Q8Sd1X1GuKVl3SahgmmgmTrZjpdsDs1IBdm5d56GDAB+/exlTNZ3NL024IC+66pFnTNGsxrUbAQwfgyf0NLp4zqe4t0ubDQHHDpYZLdg15+JlJBoGtr+4PnRTkLo1anXptku942QpPHlzgwX1bwCi0TiwRxIY4Mnk9yTBwaIwM9Zqi5ml8z8X3EnxH4zgJrqNxlEYpbbdgkbY0GGEQFHquCM5FenxFmuqXhf2aZM9lmhUVxFqgc3CL3M2qMjWl16RJOftdwsgwDAby7Ln5X5ydmfRmplq/CoTfMICPhgMZBKNfvvNTH/wXCwvznpIKz0mLl2JBJIUNMGNBrGwtiJMCPVEmBXMJ5Nqgdfa6yLblmTdj0GkmLktWmLRgKruVIS7zctuiWcJRwgLcsY0CXpr98z1FzVfUfUGjLmjVDe1GwkQzZrIVMDMxZNvcKg8eGPLLf7yZk6cn2TOrmWxAu65o1hXNGjRrCfVahOeO6IwMSipcZZCy+GQZu0WxR7seMYhtuekwsB0yvYGkU1c0ej41v8UFWyJ+5fs7/NJ7JQ/s24xBoY0mSTRxEhPGmjBSjELF0JfUA0XNk/iewfcUvqNxXev3O8pYgKtUPqYypWgPLG5Z6bI2ApPWsthGZ5HXtljSsUyd5PUudgXOVt0C6BbUSQbubOVOdJ5FBcHZs+e82emJ/+/2V7/dHQwGv9BoNP7G6fy/McDDoIMx4a8ePXjPPxt2T9RqvkRrk1pxtr5DJhboiRSoDMyJIdE6fbRgLZ5n7Czyn+lSMqI44KQsk8vtEv9kKfhCnsi8E8jaZU7aiuY6Et+TeK6i5tuRDHXf0KxpWo2EdiNiohUy3R6ybW6NB/cP+KX3zHLg5DS7p63D0qpLmg1p2btuaNQSGrWIKAn508+3kErhShts5wxuMn3q8o9evcrnHg3phb5tsh4l9IeKXl/R8R1qno/vtrl0Z8x/+MFl/u17BPc/sxltJIm2afUotoVmQagJarbc1fcFNVfgezaz6Tkmz9g6SiOVjYmsfVsCeJHyTEGeOi26ALs9LwXAtbZgzv30JFtpM3AXoC6eWxxkLltSqhvSRvD0c0drn7zzy//8W17/KrG82v25mam/WabzbwzwlYUjGKNvWjzzSL3mjpDCRsoqTjNnGWNK+8VUItBKVHS3lR0F0LVO3zPZ81LthBH2eRncG3yuvMw2qzPJPosSthPIEXlduetKW7/hCWq+nXnS8BOadQvudjNksj1kbrLDQ/sH/PK7p3n2xCw7pgQzzZI0qTk0a7Z+pV6LqfshrhtwZnkKVwmU1KktVwSZSWqbbZ2yyZNuVGMYGNtEMErojST1gaLmuXhuDdeZ4LIdMf/hBxb5+T+CB5/blOpfTZQYojhJmVwT+JpaKBl5KpdgrguuYyWarVMxOJJUpoBIH8sYz3BuctlSqkysPBYVmjngs6KubPXNaoOy1blcA1MBuL2PgoC7vvxIfc+eC26SUv5VcPz6Avzpxz5Lt68bJw/e4Y0GHTxPQMoEUoKMDUpa5yDOwJUGkSrLMmaaOgW61kU/YS5Dsuf5wTVfE9xQpKSzKkEpRS5NlLT15IU8gZoLvqep1wx13+rnRj2i3QiZbA6Znerw6KER//YPp3j6xBzbJhVzTc1EXdCqSRo1RaMuqNfsxWFT/SEP7hP0Rx41RXqRpZWSpgg0o9ihWVPcfGWPh55tM4iKdrDBUNHzFb6n8Fwv1c+TXL5T8+s/vMDP/AHcv28TkZZEWqfN0kUPZuBJfE9b9k5rU9z04rZ3UplSyDiZZnk3AnnaP5HKlew5eSlEAXTyldcCmRKJFUDOyC0Dt427dGFQaMHKyhrv+7NPed//9m9u/PlH7xy87du/+W8f4CtLx5ma2T75+AOf+P3RKHiZ1hpHSnA1SoocUCrRqESkvrchURmLUwSLCWhH5GydaJOmjk2ur40pmDxLSuTdKpROhkibJGQKblH6LDI7obZi0HXAc7GdQF5aYOUn1FN50aoHTLSGTLW6PHE44N/+4RRPHt/ElkmHuYZmog7NmqBZVzTqikbO3gk1P6bVGHHPkx5rnRpTU0WaPANLtqRHiWLTjOKVL+hzzyPadtGEugRySc2V1FwH1/FwnDpSai7fafi1H17gZ/7AcP+BTUTaIUorAG3Zq2VyP5J5daHnSBwnLcKSAuVkx4b882UXYSZVRD7ZoEgIFUAv0vxF8VYRLxWkZXLjoLxiZ6DWGcjznEjK8MY2TgTB8GXP7Dv6R9//9rf82IGDx9cu3XvB3y7Au2vnGPSWfqa3dvQ742AJ17HWldRWa0uZau70nkhbjppogaNNekWLyvKldUnXpQcpY2u9EXMX/5Nn5HLtLYsYINPdWcWgo7D1GY7BdW1jcc3T1LyEei2mUYto1gJajRHTEx0eOxjws38wyxNHN7Np0mVTI2GiYVJwp+xdk9R9y/41P6bhh8Q6oBf6CCVxMwbPNXimVdMCscil6Y1suUBYYyoD+Shh4FkG9z2J6zi4TrYBreGqCwy/+WPn+de/p7l//2Yi7RAkgjDRKYsLapHGdw1e2rvqOEXLn0pXNHt80q787LFUmFXewaR8/KuxUElO5q+LEuUC6JSkKRWg565ZutLb0mbBqbPLPP3cse+8/6HHj4Rh9PN/qwzeWT1Fe3LH7ke/8q6ro+FpmnVAJLkGS6RMAW7liVKWqVRuH0GixJhDIopgMgd3EcGP15MUVrcpWLt0UvLlNu3QUWkw5TjpmIm0CCmrHqy5SaqbI+q1gKn2gIlmjwf3xfzcO2d5/Ohm5iYc5uoJEzVDKwV3vWbtxAzcdT+h5sW0myH7jhvufqyJJyWu0mkQVyAlW76jRBFrh9uuj7h4T58jJ+vMNUjbwWwP5GCUsrCjcBw3TZhZ7/rK3fDrP7LEz/+B5ivPzjGK6gSJJIwNjbSG23exIHey1UunEkUiVZITkZKiBHBRAnlpmSwH9BXiKcnIFMxZZ782oJNCdlYcssTkrxOdBaHFa6v3FYeOnuULdz9y9S/97I/sPnz09ImL9+z4+gPcJKdATl6wdv6e/+rLc99ac9eQ0km/QOaJmtTjtI6JSgSJsjIlUSJnbp0YkiwaT92RIpCsskO2JI7lcMiWznXgFgapMlvQgsFRKWs7Bs/RuK7GdzW+F1PzYmp+SKMWMD0xYLU34N5n4Nf/bAtPHZ5lNgX3ZN3QqguaNZF75dZ50Za9PQvwuh8QJgmjYY2asheZFKJSyZclUmyg6Vgt7wQEoWEYiRLANZ6X4LkOritxlEJJNwc4Aq65UPDrP7bKb30g5v79M5zttBk1JZOJoRXbaQN+endziWZSu5ASwAsGzz9v+qE3mu9nUrbJz1VaZ250icVTGVN2xBK9HuixLppT4kpwam3J7uKIQydXv/VDn3owufmG6/75Y8+dP379FZu/vgA/d2Y/iOaNZvDwmxryEdREizhJ7ElKl9skkXbTpMQC3UlsD2CSpP5o+pg4JebW1h1JSkydHbTnBzclcGfjHjL2Nqk8MWnVoGVux8nmqGTlsRbcvpeCe7rP4uqQX/vTBp98YI6l/hRzE5K5WgrumtXdjTSwrPuShm9SBrfau+aHQMiXnvBYjTxmfCr12IiSE2Hs6hZGDm3f4RXXDXjwQEgv8pmItO1iDzVeYGvVPccC3FEGJV2EtAkaDFy2U/LbP93lzgeH/Oq7N3N6aYrhpMOkJ2jFmkYMfmRHL3vKDjRys0BTijwIzh7LgXr5wqzIlZzFq00UFWlZTsjlJgIlh6UqSyyLi1LJhq1uDBOXT957lJnNc2/auV396WpndPzryuCLqwNmJ+uX/Nknv/BPTxx8gO/7ph6Num29CiNb+xspW2SjEkUiNUpZwDuJIZZ2SqujRGoBiqru1ln3dxZIFpE64wCvBEG2/FWUXACZ1rxYG8wC21G6GDPhJnhuTM2L8L2IVn2I4wy458mEP/rLNnfct4lQt9nUFszWrCyxFmDmk6v0LlLmLrN3hOMEfPW5SQahw9aGSTOG4wyeWWm2hLTmKm66fEisLcCHkWCUN/jakWuuk1mcKgWizT5a5SCYnRR858v7tPyzvPsvh9z73AzzUZ1BTdKODU3HWJA7aRyiTBqXmBTkKTEIkcYx2SChgsU3Arh9MFUbcQzouhSMrmPuHOAibbqwdehRYkt2+7GkFxocGTFbv4srd23+p1Ob3vC4Md1DQvzV3vhfCfAn953kf/zpF9kyN7ntngeP3nrnXQnbpjTf+aoOstfAUT5B5CJjhZIOKjHEiUQlmkRKYilxHEPRhJCd3KzmYWO9XSRwqgukBbcpyRKTj5ew493Swi6l05rvFNzK1mL4boTnRdTckEZjhOcN+LO7HH7jTzZxZHEa16+xpSWY9hPavqHpQzPtsK/7NttZSxNCtn4lSVcCK0+Wugn90MNTCk+aPMDMvkZmtWmTNf5Kwtil7o7YMjlkbdBiGIl03JqNFVw3SW0+ldqdygK8ErjaysdvfWmfG65Y5NffN+L9n51jJW4y8F2arqTt2Boc3wFPkTdDOFnSJ135ZC5VigRQ1gw+LlfKibZMUmbJodxhKbF3Fn9kTknWYBGn96wRZpQIujEMo4RkOOR7bp/nB16ziBM8dWv3vLPNxMuHgv5R/Oae/z2Ax0nCD3/7LRfcdf+Bd37+ocOs9Kb5yD0hL752iZ0zWbGORkmXSBpUrFFSEUtJkgIt0ZJEFfUMuW+anugsS2aMKB0osc7rFmRp5ZS9ZQncadrZMrguMXeSgjzGc6wk8b0A3x1y/HzMu+5s8vGvzHD0/BTthst0Dab8hJZv0tR7Bm6ZglvmSaFaqr19z1447WbAx77qcOhEnZoSNmOYOSgUKC+SJVaHR7HDZbvh9Tf0+KPPzNBvOLQjwygy+GEaNyiN40jrfihKIHdLaLOrwq5Zyc99z4CrLzzNH9wxzdH5CVbiOgPXoakEjRTonjT2wkldJlUiCVmJa6ho8o1uhQlg1sVRevw+lgiKdVpAlwiCRDDS0IsFozjBDAdcvHmFt97aZfNkjbW1p2hsufGd9dnXvDaJV/9KqfI1Ad4fBDTqHp/6/KM7Hnpk30Wjbgd/os4dD85R/4OEX/nhNXbODlINbNK2NI2MNVLJvLQy0RqTHnytdT7cJ5MnIEqaWzyv5obsQJucXTJZkgHbuiYZeye4Tmw7d5wY3w/wnIBeEvKOD3u8+84tnFmeRKs60xOKac8w4WkaKXM38vS9TOtUUmmSeuc5uD2bvQyikEOnffqhz5SfujhZ0ilzJbLvaUo1KZFDu+lw4Y4Q5Y/ohS2GnqCeziDxUnnlphLFyVwPoZ4neFXMTQz40W8d8Kbb5nn3nV3e9dEZloZNhk6NmqNoOIK6MvixsWwuTZ55lunnztL4OcAxVWdlHOQVoGejKqis0knJMcskSZS1yGnBIBEMEoiSGBMM2btlhV/5kSVuv0Gy2p2gPxgRO89epGntmJi7+bgxAUL4fzOALy4uMjXRnJttOx9+6vHH3V0TgsVAsKgb/PkXZqi7Mb/xT7o0fZknBoRwLKMnilgatCqVW6bg1qVKtYy5y+BeL0syz9uUAG5yiVKAW6NUkjJ4gqMSPDei5oV4bkhnFPLVpyR/dlebj35lhlHSwvM8ZjzBpKdpeoaGb2h4BbhrvsT3JX4qTWxiKHUmUoB7rs18HjtnuPfRBmHk4jfNugAzu5Vlmta2hct1HV55Q48PfqHPgdNNhjU77yVwDV4MbqRxQxvbZAk1KWQx3CcDeOaxa0nDd9g8OeRff8eAy3cFvP+uFo/sm2Bx2GSkPFzXoeYI6hJ8mdqomb0qjc0njLN4eh5yuVIiI1P6HPlKlcmVMrBTYktMAfBA297PQQKJjiEaMVfv8XPfv8KbX5HQ7bTpD+t0BjXOLO1zL2m+/MOy131BHPYW/8YMvnnTtDx46PCND97/lYnZVoTRgshoerGi59a588E23/XqPq+4LsDVmW1npyrFSlsdrmVJlqSgzlvKypo7y5itp4iMOWzbGbksylYNOyTI4KjEAlwluRxxnIhOP+K+ZwR//Jk2dz02wUqnhazXaNUVk66h7WkarqHhGeoeKWtb5q77kpqnqHmCmkdaoadTcGt81+pv5QQcPA1nOjWbWEn1bTVxUoDAMltaZaclYeiwuS24ZOeQp0/GDCLXjmmIwAtJR0UnqUTJEjUgxzpz8hqR1IaMElsf/rZXDrn9Rat88fEe7/1sm0f2tVnuNehIj77n4CmBJwW+xPZwSoMjTF6sllmwNrD/q+zDgs3LF14Gam3SBue0tj/UMNS2L9ckMSQBMhlx/eU9XnvTiDhsMgo8BiOf1W6dc0se8195YOKqF6gbd+3e8xm+xvCgrwnw1eVzvu/q31tdOddsNx2GoaY+Al/CwFWcX/C4+3Gfl93Qw3VknkYXMq3/lgXAC0lSPKeiu4uUMFXCKwU6RYG+lSV2+pVMJ2ApmeBlboaMWOzF3POow1/e1+KT906w0G0iajXclkvbgQnXdvLUXVLZAXVPpHeZlpymutsT+Bl7ZwB3YjwvpuaFGBPxpcd8TpyrMzstcKVOnQhRNPqWUJCVnyappBgGLrs3C1553YCPPxDSj1yGkaDmGrzYsngQmdIqpXK/GiErMsXeZb5y2qypQ90PeNvLh3zTDct84is97ryvwT1PtVjoNBgKj6Hn4LgKRwhcKXClxBUmlVoGiUglVxF4Pi/IKUmUUhWoBbYFeJQB3GRlGgnoEJKAWhLyiuuHbJoTdFcc4sQhCB36I5du32Xl/JnmnkuT3zt9Zv5yYPi/DPDuMCEMg+8++vTTk9IMaPgKz7GWnAWkASlY6imiyNBUkR2aKUBqjZYapVUK8PSA5wd/7L7R0RElx6QEbil02jys7YWUyhHPiajVIoZBwoEzcPys4kOfn+Azj7RZWG2CW8NpuzSUpOUaWo6m7hrqLtRcC+6aa2cS2jJTWbqL9OcmBbnOQe65tj3tyFnN08d8cN10mTelFH01LZixW+akWDfFjnO+6sKAK3b02X+mwbAmaMQCPzIEitTa0yl7Z25KZkEWWiX32XUW92R9ky6j0KVeD/i+1wS84eY1Pvdonz//QoPjZ2vsP9MgXPOJfYeR4yCVtOl80r+H1eYqk4dkAfT6oCm3e9NVJUnjrIy5EwMJoLXGaAMmARNZgOsI14+YaSWIJJVEmHRokh3pfH6xy4njz9Fsfu3dI54f4J2OiKLop+558OCkTCTNBvh+wupI0+kkmCREqJjP3evzk29UXL0ntgPkhUFqB60TtFaoXJKUmVuUgslq93vO2pjUDizLEwtwKSxj+76dpBonCfPL8PkvOxw+Xeeeh+qcWa1z5GwTfB/VcKg5iqZjaDraugiuwXfs4HjfJQVxdpfpXaUAJ9XcKbjdBN+17G0vrJBji7DveANXVu3BqnYd84rzBoK0xzF2uWL3kEs2DXjmaMwgdmlFgsABL50JqEoAl1IgpKwwOYwXPhXtY1kPZZS4BK5Hux7yj14d8NKru5xZ7fKlhz2OnvL53GMNzi7XSIYuWjpEngKp0mDZVmZJsiRb8bghyCnVrJANHMoibW2Bre2EM0xsR1wnCbv2RNz+sgChDc1agKcGBKHPMGjTHQg8TxH1D87e8NLv/qfd1dO/2Z7asaE18bwAv/fLd5EkCcO1eaZagp2bJZfsipiZW+K5kwnnlgxHDlsmdxwQjsElIkk0UiRoKe1eO/lyaR+z6bFFMCnW6ZJsDlXB2tm0VLs8u35ClBiOnhI8fVTx+YcaPHPM47ljdbqBTxD64HqotouvBA0FDUdTL/nAvpPVaWRls7Yu3E9liecpPE+mF4AptLeb2Myia3V+zYswOuT8iiQwPo4j8aTByRIlYxo8W7pNHmwVPY5h7CJwmJsOkWpEP3IZOMI6HVFRMOYoXclAysykBsiGHVHEOklWFpD2TrppJ3wYuQwCjy1TIbs2R1y/J2AYDvnHxzo8c9zj8w/WePpYjaMnfaLYwfiKRCoQkqT85bLVoziB+Xi8whIrZYJIC01Mkj7PAF50RCSxdXB0TXP0UMjpRXjqWI0n90XUpG0wOXay33zgwce/Uyn1m/9LDP74I1+g2+2rZ549IHZsErTqmpmJhJ1bIr7ppiGqtsqJec3jz3rs3p4wNw2rPWW3EqnHSJ2AEaAlSbrXpGVtWUiSDOilFpJsqZNpBpK05iIKDYORZfLjpyUfuMtnECmeeK7G4VM+S32PIPHA8UC5qLbCk4K6goYy1BR2nJlKC4+UZW3PFTbpUQa3K/FSWeJ74HukrolNmdspt3GaEY2o10IWVhM+f3+LTs9nasJur5KVDGQ4WMduWblprsUlQaCYnVHcfvOIzz0y5GSnydCVVqY44MYGN8o869Rjl4m1CynPOpH539DGKf0NC3QvUSSOInYVUeIQRa61Ut2Iphfx0qtibro84I23jjh4SvLkPpdhqHj/5xscm3dBSAZDhySUafmmxDilqzjTsTnAy5VyGXPbR5EYRGIwWDavNxLchmZhBf5//2WC3dsTHn/a58S5FrGaYnMTds+GTLUkw0CBOir2XLRXfeqOz8Xf8vrb/3oAFwImJhrvmGp2r2m7Ia26ZqIV0azFTDQcJtsOF2zqc9MLQ/7k4w1e89PTBBquvzTmba8a5d0bc5Oaa6+MaNZsnXfG1uJ5sgWZS9IZCJ58ymG5K6nXJA/tc/n0V2qMIsUoUpyb99DCITIuWrjgOAjfwZESTwlq0lBLge0rg6+MrQF3Us/XKZjby/oyc3CrtEdT5OztuRrPywq0kpy9PS9CqZAvP674+AMtlOdYu62iv5+fwTMvPEkyx0MxGrm84ZYhn/xql/d/aYJ+XKOZ6nA30+FRlnE0ebeQENmVlB1dWdL6JYCnXfCxY5ncdRSx4+DEiQW6SlDKDtKfrsfccmnMzZdGGBHwlpcPGEU20/ipr/g8vM+j7guWuoonn/HoDmSqksZ80YqXqNNjYFsDr70uZHbStjDqxPC2bxpx7aUxUQLv+ECTd763zcjz0LJNo1mj6RiWOpooNnT7MZrVay6/qvEOY9hw0Pg6gMfhGsqdaB/f95FLt892VBSO0g2ZQmp+ACREscDzBSvnBR/8TJ2nDvloCYdO+Hz6i838e0xMJdx4TUSrbmuAv2YGJ40qpRSs9RWPPO3R7Uikowi0IjDKMpNw7CQh6YBUSClxpbRglgZfajxpgeApOwsxm9FnQV6MSXYd2wiQNR6XwW0ZPi2rdTMGT0r3GN+JMCbkzJJHGNTwJyRemvZWWW9qOYuZdfRQpNcLkNupXGHkMtVS7JwN8cSIYewzjAV1xw7BzGpIsoSWkuXyVpn/Lfs30rhH69IQfJ2WTZTGP8RJmjdQNkGmYtsCF1nL1ZEJUsXsmNXpiqG5fNeI0AyRjqbTETzytMPaQKJkhu2qK1YGu8Cm75s1uOkFIROT2qoVoOHYpJOW8J2vk3zqqzUGywJ8iIBOKPEGdvqtowz9OFDHzw0v/akf/Lb20mqvOzvV+toAT8J5dLT0m655+uUz7Xm0dlBKU/Mian5g09xeSGAMH7+3wZP7a2jlgBLECDqm0GHdVTj35fK33ADguX4U+XMjBDrbcgFpAS2kDXSkHUrjCIErUoaWado5BXb+qEqPTtpJr0i33iMHt23rslui+J7Ac8hLTC2DpyzuaLw0O+q6Eb4fcWpJ877PNcHxcKUoAsxcnmxQW13yibMhoRZsdrBOGLm8/fYhn7hnyHPnW/QTl0ZsN6W1VYCm6MRRWU6gFOyJIraxSkCWCryyu85rYRxH4SYWzG4KdCWLpJlSCVLa51LoNB5KcIRGGM1cQ/PNL9F2+FLqeORZIGE2OPVFUkBogUlUCYC2q0cqzbWXBrzx1iHv+aTHKAqJpMdK6GGMZBAbXCk4tTqk9tDxl9/2stO/GcXJT/yVDD5c+ggC6Yn4GK3GEFB2EL0bU/MDGrUBwyTizz9T59f+aIqlgWdFoVClcWAFYyVfi7EpaTbSdpyxR5HuGmZrJCyoXWFyKeBI+9oOl8yaakuFRA6lOSgZaxdd9QXAZS5bfM/kLW2ep0uDc2LclL09J0LKkBPzgsVuDeE4+JKKPJGidP1SxF5l6VABXup0hLHLTDtg95Yh++cDhonDKAE/EbiJwY1THR5nRWa6JH9V6WoSeeLFTtotGrgLaaRxEm3r9h379500K2zlSjnXkA4Myv+mLp6HupKnyP96ZRzF863gpV5QYRBopE6YrSX8mx/oEkaSD31e0BtJhhoi7dKNrVcfJ4LHDs3zG3/0OS/R63//OoCHgyOAwJVr1FujVOsl+F5IP0j44hPw+Qfa/Nnn2pxaqllqlBm4VZWRc/CWQF1avsr/Ji/LTJ9nAHEEuKn3apMO1qFwsmxb6VGNgTwbEeEoWz1Xbji24Jb20cuAngWfKbiz7h9H5xLFdaw+9byImIg7v1rn/GIdd0LhZdJEmqqDUvrGOYObqj4uJ31GgZ1g+7oX9/nqUyO6cY2B41CPNWG6QmUFUZUso9AUnUNZoFkkWXTaIZNoXequEjhaECs7pMnJqjCVJpaqCnCVsnfmaqUAzzPLObiLkoo8Ny2KxyrNZWn/4udSaKTRaJ2wYybil36kw949EZ+/P+CB5yK6vRo9x7Uy1QiMGPL4cyfWTTZbB3DT+TCo5kuC5U/fEA57DIMAKTUIzcMHFZ+4p84n7m1w9EyNRKRoEKp0l1XKysFbxnpRV5edC1VKGkgsqFU+kapILiiRJlBEuWMnAzv5KIQysPM5KArbj7gRwLOAM9PdTiZLTKq3q7XknhvhuSHzHc1jh+vgeDipPMnS8zmDs/6Q2BxA0URdsKrMPfEocrnu4oCZySGd1QaDWNFQ4Mb2u6h0SpiKygDHgjz/QzK3Y/OyCG1SNhdopUm0wNWCREkSZZk8VjK1InVJ6+s8qJWyxNzS5MDOAZ4xeanEotgWspoYqlwQZWs4vYBirdg2HfGvvmPIW24L+Ni9fT51T5Onj/gY4aCFy2jUwGfLDd/3nbe+pPuGW+/7xR//po0Bfuh0iJR887kz4bUPPRnx4JNNglhgpGT/SY9nj9UwOHaYn3RswCcL1palHsns5EpK5a2pFZj/rPSoqAJDlkBun2fOAbnHrFKwO3mLWgHs/HnevVIAO2u+teydam6HXG9nlqBl7ALcbl6dGCGIuOMrPl99poX0HTwp7PztvIKwdBzylPZ4NnOj0WiKRCuGI5ebrxzy+pf2eNcdLcLEp59IaokhiEsXtSjJFClTFi//qedjctCOLAYupeBOlEQpbRldynS0hE7JRJdKJMpATAEqdb5TdMbgZbliP9d6Rs8z1SWAF0k9RZI4OCphz5aYf/mWEd/8opD9pxQIwzBRfOkBF5zWtVsmFr95uhbdtyGD7z98hqnJ1u2//6HPfc+HPulyauFCVtdSDzvbZ88XWWRj9bEQNo1bAqSiyl5lgAthxl4XP5eln2WAzspiy6Au1ysrRc7mTtZBn7F3CexO2g2T7bOZgduOUxhj7rRn00vb21wnaziIS/eIkIg//1KbxPioPHtZDjCLvsZszapo8IzF864maRuzkyzYdBC4vO0VA/70zoA1HTFMagwTgRuTs7iUBhmLXDZYu3C89kiWrElRrct20i53lYLcMSgtcBLL6HYysExBLZHZyDdZyJJMplSZvAzwKpMXzE4pW11UjBZDQS3ApTTEid3SUCnNJds1l+22mj/WhpdfEdEZHGV2+zXfM7vjzXd/Z+/k5+qtXVWAD4OI3jC4eHEpuOjgcYP0p3DaJtU1BfNYUIqSbEizdgLUOIjHQA5FRVoF5PkFkTUwsI7Nsy1QCpCX7+l8jxTYGciVGht2kwLbbiQrSvNRLHO7btaYbFLmLgJMp8Tevhvy2GHJobM1jHJRUuJJXZFWWfNuxSCq0HdZgxcNEFnSJ0kUUexy0baIK/b0eeBgnUh5DGNBTdr56k4s8nMgpUDGqQ5HItBU/6QosbgoSaNiMlXWOO4oTaIs0JUwqUyR9mJKyoM7ZQFuWQZmqTAuO6cZgNNWuzLQM2BnRVxWFpd/XxFIC2EYlCSOMQJXKib9BMeMLiIZXixM+Ll1DL68vEIYDFHxgG0TGhxNkNhqr6ymN1tkM7bNJrdmAFYl0Ja7b8ZZu/xvKh3xZXlTZvFyEX4G6nz2CTm4lSoxeWlMm6NkBeDl4T+2254c2Hm2MmfuBM+xiR3bFRRhiPjIlxosL9cRvmN999LKsq4GhdLBK1mE2YiMch137k1rRRQ5zE5L3vrKHo8dbhMkNQbKo55YLZ6Vs6p0mlheG4JOPfGsMDeVKmN6vDLRoNIMLFHpBGApDUpnq5NJm5OLJpNy00nRQjj+vCRHKuc9A/hG71dLNQq9XtyylS9OFMFI03ITnPYqSTJYL1E++OefwFGSM/NrzLYlYWKoJRClGk2nJ2W8y1qWlhtRAnTRqLoxY5f//bhU2ZDF80bYYhqTHGPv8gRZy+IS5VQB7jnpACA32zowzXA6BjdPxev0eVK5O8p27jx3Aj58V4tAeiipUsuyOpNlPINZcVEYKymt6PBUiyd2Eyc/cXjrq0f88WcGPHW0TqRcBlLiJTp1jwQyKR8zg5AilwYpFNK/Vd23qMzkieW0fACqo+0cd5WWPsvcey/YWuZOjv4aAB8HbAkX68D9PMAf0/EFKVjXKUoUw5Fk6dgJjp/8OHnWKAP4gSNn2LtnW+NXfv1/Xnh2fom6W3IodJaQqJ6Y3PHeiLVL72fdLOvYO2PnMdbOwFHtCRQVBq+wuBoDuKrOIVQZg6dJngq4s/S9mzUmazszJG8Ry3o64/QeodyQQ2cceqEHypYHuGX9XQJ2+btWXJRKg/WYF67LQ+atFm+6gku3j3jqUEiifYbao5ZYH9hJNbgSdttym1jKvGddOlMZkxdFb9ncEicfbGrfUymj2+NphzjJnMVFzt4FwEVJf2er7hjgKc45oiC+Yj4560Bdfj3ODlnpdba5VRBKhpFhcmb6wpe9+kcaQf/7Bn5zpwX48RPnWFxae3VrYuZnVjsjlJK4GARW05YHYI7fyvU1G4K+8vx52HzMdchqqKuDITOZUh6qmY4dywFedLtkrF3exdhVWFclBbcFcDEUyC3LkzJ7q7Sv0wtZ6Wn+x1+0WB7WEL6t/fYyHz6PEUTluz/fLe940emYjIoGt45KHDu0Gw4/+eYeX3yszXLgEUqHoZR4aQ9l5i4VXTeiJBF1noAz6BTcuih8y50VkTK4BbHWaRCv02OsTO5arQe4KVaPEsjXs3hVa48DOZ9uWwk6qytg3ilUOlZxYps7FH22bG7/TG/l2fuiaPiJnMGfeOo5ar7H0aMnSJIYz/PyJUGl3RfmrwFwUZImsvQBNwZ7SZpUWLs0sqAsU2Qxb7AqVTIWHwe4tbmcVJI4OcAzza3zoNJ1dA5uN+3lLDryLbhdFeF5IR/6ksuzR+ogXaSU+LIIsvOYRJT6MIVYz0BlcJeDzVK7mU77KqPEIY5drrpowLe+tMsff6aGdnyG0sOXIk/6KCmIRAaS9Uwuykxe6qIq18RoBcrYVUEbYcGdWbCadOakKZ2HLD7KgJ0yuawCuwz4cf09/l4O5pKcGSNv+6hFWm6czSYXxEnM0sJptHFJ4rCQKJumPWo1n/OTLjVX5Bl3gWVvVToZpYGj60GePV+nw8fBLfIvVma7sjwps7gS2LFiGXN/TYDLAuB5oicDuLFzslMp4qrCLXFLw4EKzW3Z23Xs1KrVjuZTX26x1PGhlronogjAnk+ilJNd5bO0oW2XWYbZnjiJ3Z5vqq34lpcP+ORXRyz3fULlMExkak+K1L0RlRhGVCBh2Ttf4nM2zxoSBE7mrKj0uUxfS+x0YGmfSyHSDcbs3xWZbMkYO21YFpDPHV+vv83YcdrIWSl/foogPbtA89EbVt6NAkV3WMcZNkliG146z+47zOzM9AVf+epDP3X6zDyua+cNZv6eLLPNBn+vnH0vkVbB3oK0VnkjNhelgExUdbcs3suAXTB3dfZ3ucPFDnenCu5sZ4OMuVWJudcxeDZuohg54SibuTx2XHDwRA2Nj5BO3pxbVA9WL87C1SgOSrkWpWDyYuOnyrYgWbtZ4oBxuGx3yEVbRyzvr2MSz7J4knr+JRenkIPlQq9UcGdltJYGLZubwifXsmgQLmYXprpckk4QLtyURGTgFimTC8pDiaQ2BZHJDMBiHYNnJFBOBm2owcczs1nBmhYI6dBZO8eW7Xt/as+VL3vi3JlDx53BKMbtDbd0+snth48v02paeSKl/UOUwD3m0tj3xiXKRmDOLoDsPVkEoOPAFqI6Oiw7MFZ7V4GdPyrSUcBlH7x8T7e0VmVwl0Ce7lfvqpS1U/ZW6WvHiVAq4s4HWhxaqoNXyBO3FPyWpVc5wH6+W3UEcdGjmm32pEtaPAwd9syGvO7mAQ8/1wBt94IfSombpEM+k6pUsiBK9XieZkpBbkxJopTkikyfy3RVkdldkCjSYFOU2LzkHOlsBRG5Ni+DWeqNpEr1ecbiGzJ4lVrzAVGZje0ogTDnadbC2yXDLZ4THXdUaYkFOzcuOzGOKKoGzNc4V2VpUjDWxpp7nM2zudTjzC1K7kn+WAK2zWSmIM8lyhi402rCvMJwHNhOMSAoH/Hm6BTksZUnKqLeCHnggOITX24yHHnQcHCkwBVVaTIeYJYl2np0b6C/xyzDsi8exQ4TLYc33jbiM18d8NABD9N0GSa+rbDMa3ZEweC5rhWlM2hBntf4GWzQmV1gyrJ5Iq0ezwCeyCLgtK9NKR6qrrx5/KTLktSUVrb0IiBl60zCja886+i0APc49AX2PGfZ4GzLQmetH4GKWO0n9ENBrWb/dbWGYsMLqJLAyJ6vY+zS0rMe8KIUTIoKi1eclAzY6cWQs7cS6RzwAtzZo+uYfNtAxylGKDtOVjFXBbqbs7W9q9Q58byQKEz4zP0NnjvZANdFSIUnyDeXKgeXQo591/HjQlnyidLY4ZIXbmyNeKbFM7swDB0u3xXzmhf3efJ4nSD2SKTLUCu8hLHPknnhjDG4fczkplHjnrxGK2GbxQ0YKTAKZHYx6iL/oNMAU2pRuCharMtj5Ct2GgLYDG8mQ0RqFZK/tserHHCmyuD5CLa0kVazHtGoDfGcIUIPcX73PXeglEO328F3VZ4Gz4OUDUBe/NHxEygqzL0+yLQgJb/iq6CuALzUUJtpb5G+zofelFm7AvBicmoO7BTodsafyZnayR+L524aXDoqwvdCnjkh+NxXGwyGHjRdpBAVazCb9roui7mOvsfYJ11iq/P8xhI+pQKsMHJptUJec0vAJ+8Z8eRRHxyPQEtGSeqoaLttes6Y+epqmZKkDPbqauIoCukiLZtnq4pMmVxJC/YM6JkHXpaTUoDQ649FLuM2WNUrNSqiBPTsc26Ew5I8NvmF47Iy/yCj7rNoneCY4SKJELg6ZrIhcd1qNdy4A7AO3KXnVT1eBXvhc4vSCiEq76+XJ6WtNaTYwAMnL7DKsmxOVnAlLaCzGeHrwJ3e3VL9s7UHY3tPu3Zik3DHfXXufaYONVs96WXyRFSDyzzIZv1J3GgZrIwdJitnLZqRk3yeYwH0YORy61UDXveSAc+eqBHHLkYohsLBTSg+U1KwuEjKjsp6Ji/+vt2Vw2Ta2+j0tUBqYXV42e83VoYoKQpAS1Ni8PL5taCvAFts7LZVwEvB9mUQVohVCIQ26XHyCc9pHGdgJz7MTTpIKQgCQ08JynvebPQLy3+8ALkofaAqqLOfidKHKa7qKsALqVLS3hnQVSmjWc5m5sxdgDvb1cEZB7cyOaDdEqgz58Q6JvZRqQjPjXjiuOTDX2oBHkgXIZRticusQVE4F+PfqxR2jwGMSvC+bv/J7J7Y1r0sJZ2l741xeNsrhnz+/hGPHLGTBCKtGCQiLfhKP0uSsnZpdkF5DckqGlGMAZ3UGjZp4Jnu51OyM5Wy4JayYHMhQOn0POqshHZMduYsXcKFLJyUMuCLgLOaS1iPv/xSsP594CGlCxicZsMOjnGkDWbGN1gdX13HdXeFxStWTxXU4wBHlK/w8iZIJYCXrMF1qfqMtUXagFsBuWVuV1Y1d4W188cssVNocKViXDcmSmLufqjO04fr4NoOEkcKvHycWSm4yj//xhp8XJ6Y0pO8dLZUI1KpLkwkOt1QIEkcgtDlyotG3HqjZfFhYlk8EB4jDU5ScjOSLGjLlvriIjPZVcZ6gBtTWMRKg5FWm0tj8xAmlS0ZyEUGdpEGl9mx0OWkzzippYDXZe1dZnGTU8O40htfFLPPHCcKpERKhTEax3Pt+C+MpuZJ4nRrt/KXXw9wMXaViXWAXxdcVpi80NuMaexcnuQgL6XpZQngpY6eHNwym/xEicFL4FYFuHPdnc76q8gTZasGD50TvPczLYLIhYabyhPy1jRVCm4qzkklAGH92RhjcMZkii7vKmw20uIOTV/yva8ZcMe9TQ6csRdfohWDRNkqw0Tk8wQRBpGkTJ6MrSQZ1EsBZ7axlDI2wDTCII0Ft5RWn8tUtkgpECY9R7rkoJj1K1qlyK7iiY/HaiXCFMVnXMfcpVu2y3IYGTtyzhFgJOoj7/8vmydb7n86eerMZWGs85LBfK/JXAuXLLqyk5G9L6redDkBk9/F2Gsl7YdRAillkYksuyIljZ3r61LPZR5QVgLJlLnz97Jh+Ca3BnP3xElKDQ1R+hiSyJA//nSDP/3cJPg+qBpKOTSUoa5MOo6CvMHZLbXGFZnU8nGQFJNhqQSo2XeVpYxodtHaYQJZDXbW/GsQRrNzS8iZJcmjT3vEwjai6LTpOCsfqMjFgp4KmFTcN1G66kTOjNklkV8MZbYfY36dJ2GoxBfVi7jk/etsjN/YBmTZ76vsulcavY1YV4WZaAgjwWpXs2XHNVv27L3xC85zhw9OLqysvHYwGmKMU7Fzii8/3ldZfV71Mcl9zGLJEfn71VEKVYmSX/2VGpRyEZOpyBOZsnZWCJRvx6HKjxlzm2ow6SQbPioV4ToRB89KPvjFBnb+imVvq70LcEpRkk2iVPJbIu4ys+fh/kbg0NXakOykmXS2Y5LOd9SJIlGpFk8cvuOVAz5+d4N9p12QIUZIgsRlQOpuZMc4Mfm5KhmDWUolDzLHg0+VyZXSY8bONsi0WU2tC8mSpfNzKaJLF5vcwEXRY7hZx+QbFF5tJFOw5CJMF6PPvrbfDSedLz4yYnFxxNEjATvmUgDKVHZIqrKjLE3Kq7CoAjoLCso/W/84dhBKdRxlYIv8uSnAnnX3lALK8paBqiRPcrCnzK0yiZLN/UiDSkfGVnurmETFfPq+JvsOFdpbCJmPrCikSTmIKp2Uyuv1QbupPC8akIs5JqWkjy4633UG8jSFH0YOl18c8IaX9DnyQZ8wsc3fiVCMhMRNZYo9hzajmT9PQZP9r8nZ3MYCKo8JDIrCypQZ6EUagAqRAj57Xejx7LjoskTZwElZZ0yUiSG/KKsAHwd9Roh1z7Dz4pirrxwwMenh7Jiu40Z95n1b6C5lOrZBjpV8jrF4JXod0+P51SiLD1ixhtLfJUsALgcemRcvSv5yob9NVX9LncqYgsVVBdxFQJlpbZXP/UgTPDKxm6KqBNeNOHpO8T8/1mYkXcvewil1zWfBbam4qPTd8uO0ke4uA7sUyJuSF65LlX5FoCmLuSlKpmOpHeLExU9ifvxNff7i7gZHzjogYxAJkRAMhUCV0vd5GW0OE1P9QCUmL9jbfjYpCzY3GYCNPR/apFLWkAe3Whf1J+NAHwd23jNQwdE4i1dZe1y7k01bUDAY+cwvT9OPZnGm2orRwO5gINJAT6n1O96K0m8vM9M4i48DveqWlKLnjZ6vq/8u6pwrDF4GtywclBzkaWCZ77SWsnWmxYuAstgRwlFWe3dDzbs+2ebMgk82OUBIWViD5Yswez6+5ObxZXnrqa8BdEqaNG88ECXrMBvcI9cFnHHssGMu4Ie/tcevv9ejE9lRx8ZIAq2sbZhkK2xqG+Y12IUcydeWTAunP1HZ0p+xuRGYDNTG5C6KEfbC0KIoutJpcKo3PN8FXrSgCuoxsBesXVYJxe9C2M8nhB1sNAwkqz1JhMQ5uxiztJoQxYZmw6a9nXUAH1siSkJ8nXbKr7axERJj93GQV2oYSt30VQY3pUdTAnXG5IVEyXdak6VEzvjEJhWjpL07KsLxIz56h887P9Im0G4qTxRKSDzB+qbiDdLyxfEovfk8EDelJ4VVWA3C8qCqlN3MS2mlIpEONSfmR9/S5+AJj3d/2mpxUCQIRkLiCGMTP6kufz4mL0Atig+YZzatI5OVT0uZfkaRXpSpJs81t8xYu2B1Icx6Fi8R5IYJnzFpgqgCPcOPSf+hFIa6Z9g8HTM5FeLY+Xvge+kgHCWRJYBvBOyKyC9/QMY/9AbAhkptQq67U7utALsp2YTm+QFeYm6ZsbZMNXe2MZVTbFBVrhIsHm3WcmUV/uKLDVaDFNzCAjwfDycKe/L5kjsb4rn0uuwilJ0FW6NdlM6arNlbS9scrPUYuK1U0dpu7zHhJbzpVQM+fl+D5Z4CGYGRRNplkOUZRJH4oRJsioLHTSldnweWJmdwy9SpRhdpQFkCvEjBpk0JfOvKZNMYoGw+jNejjONrQ8wVQJeiqGsXSILQVmA6ky2HJHSYarvUaw7FbgGZDDHrfnGmuytX2Dion2fZHtfbopwJLAN7TKJkoC5rcFkCuJNNYcr0d0lnOzIpZS8z79v63SqtOXEbMXd8ucZDT9fRMh0LJhUyCy5LWcvibvLvsdEq9VeTeCoRKrZZsf11uaWs7K4kRqJyuWIdFUfH3HRVyOtfNOB9d3qgQkBikITCYYjIJyHkq01lNREpW1cDz0KLp40vshRwCitTstLajJyMVUEF2EuBpRwDu13pTSpjMmCPVRhSwmNJh1c0OSBiCCMYDAXLHYlREmfTtMRBsTxth/nkowzG6KcQ92PLxdiVVNZHjJ94SoCutKmNFStlbJ6XopqSk2JKerzY1VjJjcGtStagVHajKpXqb0cmKGkHvx85KXnvHS3me57d71o6IKyGzXdsyD4v6z3mnMXHwfM1BHjG5pgqs1eakUt63JRlSsbiiURL29a2uZnwfa/vc9/TPkfOS/Ai0AotJCMhUVogswGwlNh87ILLPpzK0plZ8EnK5jKrNDT55xWiCnSRzmoxpapBIU3K7BbUeVVhLuvKZFrKilPEEGUMjn1isl2VR0HC7HJCTIIz1daIJGFmwu4BE8W2g75i0pcPgdgA7GMAXx8smHUMZ0E+tqNuWqijKgU7VUDLMnOPSRS1IbiLCakW3CnIZYxUdohmkGh+/0Nt7n2sbnvbysGlyIZ/FhZleeXZqEWt7OWWT0SVMUvAhlJgV3VUcmCbchmtLgWcCploYumgYodbrw/5kbd1+eXf9whiaTNQWpIIlyE22VZ8zg0qC8urSvbZMKXy2ZTNZdrpKSzopagCXYgUcOmFL4XJWT276zJB5llXcjAXLF4qtiq5eZXjaAyJtpMFOr2I1W6M8mIc14nw3Jial1gdJuxVXnSabLCwbiD684NWOnjj0W6lnWpMd1dYvKLBzYYgV2XJkupuuQG4s1S8yutMCv2tZIzrxXzpEZeP39sgCFyoO1Z7p+zt59ZgdYVZ14U0toIVTL5x03G5EiIDdqF/i+Kr3DrU5VpxW2UotUIZnQ7qsY5KvRHzpluH3HXvkM8/okBF+UmKcRiUmTFn8CrIDXaoUHmVMdKkHrjt9snY3EgbaOp1QMe6KHlwWaxy1U774vhkgF9nE1Zim2plYZH9NCSJIYwNo0ATJXaTWWffMUU4VIxCaTsijD0piS4VBD0PwMuMXgb0Op8z110bAH3cNSnVd1jG1CX/u8TgYgPmzp6XSmBzxk4fs6BSKTsldq1vuOO+BgfO1YqhoumgfVdkAy4Lz3vDxgZRBncZ0F9Dn5ROUBq5rUtvVwPO6pDOLOhMtMQOqEyQ0iEKHPZuiXj9S/s8tM+jE6bpV231eCQUo5R5NyqfBau5kSK3CfMdCsV6Ntem2FbQSJEGmEX3jpHjhVYGTRXs5CQxhqExcIvnO37YfTZtL6uh5gsu2KrYsd3B2Tan6HclYdekHxYbFmOvxPHfWiwfYyxeZrBcq5r1IKBg6qpEqb5X3YO+YPJyYFmeepqP+c3BXgxtd5xUb6esraStPdEk/Mmddd75sSZGpNuipOytoGQNFqn555UnFblWAvnzsHf5sSJTMv2tTSmjOVZGm2c1U2dFShKjUFoTJS5SaX70jQMOn3V558cdojitLxB2mOpISNt5A+nE3/G+zfIFWmJ2UbC5Im2EEBboMgW/tQVFbg/mboosxljkFaWYikdeSdyUsq3jx3b8YOZzFrUdJBqEsLhqUL7BmWz3ceizWg/oD73868isVpLq932+qypj5nJHdHHPphhlzFfNAsqx9+QYc1cHzJgC1CVZkrF3EWSWmFvoPJmjsnoTN+LwvOTjdzfp9z0rTWS2H2SR2Mm3sx5zUHJNXXpecU0o2YbPg3Ez9sJQvo9tlquLu+18L3nieWubLRONIodWM+aNtw34zFfqHD6XZsi0ABRaCALsiE6Rf4CCyU1Wi5J/jjSzmSV0UmhIWdiGmTVoPWmTSpRiaoIxpcrBCouPsfdGbL4B1tbzRTbWTTAIY5b7IU43wLn7GZeFRcm544arLxClKHh9ELnRH6kM+Kn8N2aDDJ+pyJX1jF1yT8rypeKemALY6aNTqrYrg9u+X2Qrs+DSUTFBpLnrwSZffLxemndu2VuKlL1lObAsht5Uk1TVAiHKz/8at3UjOcYr8TQYVWVxU0n+pDJFS7RQ6ESjhSIOHF51bcirbhpw6i8dAi2xxUURaEFMKlXyMzouV0oEJ4rAU0o7RTgHeqq1lbBlsyarCU8JyWh7jAyFjK3kDcZXegTloT9l1h5XD+PgV1JQ9xUvf2HIy14SMD0d4WyauWht2OEzilPfttaHZk0gnYKt1gn8MZCPayUx9uGKEV7l52U9XgZ2qr1LoM5clWzwehZwKqnTKkI95qAUtSZKjYPb6m/pxdzziMdvvGeCRDt2fxNRbMWyUVp+fARZxSYsL6PjDPPXAfq6CsOsAKuQJNZ/rnbcS6krNeNapmA3dliQ52l+9vt7HDjtcs/DCu2lS2j6qWMUI2FRKgyVfk2TnmBDGkgaW8Kce+BpbUo2OsKIaoBZZnRdOWaiwEleWViuKykRZu57m/Vkm/53kKqNVEbWfUHd38Jka8dnLrrgwjX14ut391WycmSiKX9EmBjXKXZMqCZaqqWhxaiEDITVLF+1razsW5czkelzVfp5lnpXJQuwUi2oS++NbbNR2hUsCyizoNJJEzqOE3N6RfAb753gvsebaZ+lB8q2pCll52/XJOnObelMFVm9r59Nns1J3KgWXubTt7J+0vw4Zsc0f0+ULvDSMa4E4yav+ixignSedjmgN4bZmRjf0Tz0lMvaUFJZboRAp4OAcrfHPM8VWlm6C2Hz/NesqHr8VFeqfHgPheTR2cVdeq+yyuWFaMXvJV9kih1GwqTGgSOd77vn/iMHHM+1nzfrmnYdcpBlB6985eRsXfImN1xqRJXNK1V3Y8PSC91dnTddHupYSJLxLTUygFfBnTG3zJ9b5yTxEt77yQk+8aUmppYxd7odS5q1zHZrqGYtyfcR2tjrz/5vg9uYFq+cvOy9dL0v9u4pPc91cNkLN7keN2X21pJEKKTWJFIhh4o3vXzEc0f7/OYfuoR+bD9wKlkMgjAXKumXzJhcFH+fzBKEvGUtT/SkgaaVK9UVLyunFVn8RZrpXBerlTzvjZRB9rOxbGbmtxcXg8ENEwyJbVnLSlqVBMe187LzRMu45lkXXJXrB8ZAnf5cbvB+PjAdEGPAruhuUdXcUth6EynGAC43kCeyBO60oEqqhC8+7POeO5uMEsdmLIXNWCLsJqZeVnNSCizzz16qj89r5kvfnQrgx9XJ82mVQo4Yk7lXVamSSZSiq4VKAVYihNXgGcilrRfX2iERdoe47//mPvc/6fP5x+0+pGRtGcIGrmE56Z2C3Mgi4ESItLLQBpa2uSEdwCQKoIsxoGceuE0I2QNjNiQJUwV0SbZUTQ1TBTiQCFvgpdOZ5lqb9LiB064ldqnSGqNtNd541JrNbFv/xwqGXwfk9L/7Wtq7CDyLsbvlrTBycIsqc2cD15VICh0+Jk+Ke4yUMcqJGQSCX/2jCY6e8TFuujPcGHu7kmLnhDEGr1ykZWBXILzuja8JcjP2vNLiVWbyDaoMNwo4tUwdFSGRiQ08k1CxZ1vML/zgGvf/fx69kQQRWxZPv4zWznqQ50MqydlcGQHS5AFmVsWX2YJyDOjZMTIinaeVsfoYGYwnDGVFOYw31IwdyRT4MVYd9AYJYRxbBt+8eRIhFVHQY9jrIqQqJRs2Zp3sKpL5B1s/ub8cSFQCNApbsLxh0TiwLajSnQMyth4DerZvoxpzT1RZlqSed5zA7360xeP7fYyUaUInkycSKcYqBsflSTmwHL9T/u7lszZ+JkzljXVacl1NynhtygbAziSLMZjMFxeWxROtENoghEZpzXWXRfzkt3f5rx+aIEzSKzgrxpYCbRShLj64kVg/njSJo1NbEJHWpBQglyXgZkDXYrxsljRdb/KsZT6U01TBXk7jV1g7ixM2IgYDidZMTTWZmGrZLcpfdMvtuF6LpbNPcujZT5OYGlEs05nLVvetA3h5OVmnvcfALNb/rBixSwnk5URPlbULuZK5KBr5POCWmTQpuSaqnvD5B2u8+yMtOkPPbvEgUubGypN8n52yPCnVo4+z9riDMo7pjM3X6fIx7Z29qNaklDprxpjdltCmMwMzh0XY1rFEyxQ8lsVF+qhFOki/FvFDb+nz6LMedz2goCEKhBpAC7RUhPkmbdmXyhjbFk+ZFJiZF55nock+YwH0fNubjNGhwtQ6r1HJ5qZQYet1MmWDFTDbgiXWhm4v5lve8EJeevM1rHX6OJ5ncFxoNkNmJ7v0Rg6DkYPAtknl/YIl7rF6c2xKf/ZclremGJMiOcir21sU1WdlBjcVzV1l72wz0nFw6xzUMtXe0o3Zf8zhf/55i8PLbprRy+RJ2oGeam+3kpavsnYZ3LK0bFZkiiiBWTx/wLmOfTZ4I2PuDN1V1rYBphGFNhdZMkjaclqRa/HUH5eaJNJcNB3zE2/tcXze4dAZgXFK0YIUoMlBLtLvYQAn1d4ZkythA0ulLS3nhVgiy2pWgS7ywqvSSmjKx3Q8hU8+wmUc9OVbNuo5TgyDQDDfNYy0RFm3BOfEPHi+5OwpzfL5gC0z6Z7j0uSDX6rsXYpo82WmAHMV1Bn4TUWW5AHoOIuvkymmyt7ZXZSzmAVzV6oFRYTrx8x3BL/6h20+/qUGxi1vYGuDSyFlabvwlL0pspeCUoY2A/o61h4LiMbZpoQhGJMmpfeKWeFFoVNRF561iVnGrfrfaWuYsRu7ZiyeJAohbJWdSOwmrY7UvOnlQzqB5Gd+W3F+Tdj9T3OpQg7yQGdD8NP+H5EFmSIFd9r0IKpVhRmbZ502heZONTjr5Z4uYascmGZEIcaAXgF4usVOlAh2bA257IIRu7dETNRDnJVujQnRmD9+tv25pfm9t9fcXv5binLKUkA5rrVTxssDSkoSJdXW4/++mqo3Y7bhGIPnDooee152S8aZPMZxEkI0n/5qky883MDkiZzMNbHaW4lS1nKDGpP1lZAlEI8zOBsA+6+6raPwsYsgrUWRWX2KLL0up/FTJs9mCGbAT7RCoNHSsRV3sUI5mle/aMQbXjLgT/9SEsbCFt2YEvpKTG5Bb21BR1uZYmeHZ/t0Zkqn+Fle158ne4qsb97gQKHRy6QhU9iZVB4V1qzIj31+eE2x+DT9hNuu38yl293P1ZvefE0p1Lvf9d/5Jz9w89rOzXJtth19d7+7YE9+KUtb7o8UpcZfKyGymu1SYqjSdVN9rcq233iFYJ70KaoErdY2Jc1tiiyl1Clza+uUqCIVn8iET95b59//wQTH5v1SE4MLKh0FISW+hJo0+cyTbEKWk3Vpy6LYqrJ9oRDFbBRZ3j9o4wFJdniS3KCxmupeRJn+LzkN+QAgWf03lRVRmg2bn8v5hoycjIbpdszlF8ecOq84dCLb1WNc8FrxrHMclYZglL1jSsmZIjJZ7/VDybwoBv6sSwY9739XeoOiPCxbQaM4ZnbTRQyj2X95/0PHH7zpplfYPXra9XmU4xI3lllzEqKkYPD8IJHq65IEqUqScSvQSpPcRYHSCSkybnKcvUuMbvdfz+rBNUJkF0WSXiBVkCuRsreXcGpR8e6/aHLgiA9NVbB2mo7P2NsV1UaGfHBlibnz70TBJBu5KeN21vqg02S0VCHw9aRe8p/Z2CrM5ErFJhRWi8ty1aGUCKPQRiOMrToURhOHmssuivj+N/d4+BmX4wsl0KYyJXs0UhGlF4YWAi91V3RqD2qRDsOHfJSEHSEhcqmhKVLzBaPb17okQ7IVX5fPQ4lo1ycVs4Gdgig2LHVHzK91GY1Km1CN5A14To3VoM3CaoeaL9P+xfIJLHzq8YAxT9Bg8osg192MMU3JGly3o60sfp/9N/p5NXgV3Jl7YlvRVrqS//b+Nnc/UYN6FkyWQC4kIl2VHWFLPyvaupTFHNd/5aXUHtcCsGLdk6+tTNYpFSMwRq8vuCpnOXNQF+1iFuyy8p7REi1ss7Id4aBS0lFooUmEQQwML7824Kff3uM//JFkdZAjLpcpOciFJBYiTaRYOeKkfrhOA9+8RCMtxVU56VlSkKlFmPnjZd2dz04xxcplcpwUDk1aMlYcZlGUhGyf83jVLRdx84teQH8w5JcygGt1EXsu2nTXV+977DeGYetnpBzgKGG5pKyZZVUfly29soPyfCDecM9ExoLL/N/rErsXjkkZ4JlrItOEjlIxI2n4/Y+1+MMPt+gljtUdogTy9DHT3tVSWJOn5J/X7y4/zw50WR+WbcG/AujVNH2Vvcv/Jp/VRxXY48yeafNsjJpJA09pbJ20ENK6Fcb640msaXkxP/KWHudXJP/9fRMMSxo8T/bIzEeRGC0JhXVMXC1I0txBtlGhTgpyKPviBQuLseNrKgAvLoj036ara+bO2B8UgM+Ov6MMW2abRMPub+y95PK7ouFCvhhx5aWbec+7/vMgDFaOeZ5Takgoab5KH2S5ayYriHr+fsisu0aW0uuFpZd51uUmhSRP4sh8hkmyjr3LzC1VDI7hucMeH7irQTdOp3PmQaXK5YlIpUlR600eLFX0cUVyZQFmaXLVmBQVGwqOvwLkpf+kXDxUHi1Rfr1RQ3I+kVbLyjSssnyxj6pUP67QRhFHkpZj+K5vGnD5JQEyScDE9q5jMEn6GJNN59cGQg0jDYEWBFoQaog1REYQG0GkBXH2nrbvFa/tPdbYvXTSf5uM3e3P7b9JtC2RSUy5CaRwULQGIRXn5peP/ftf/Y2B19hcSBSAV77qNbhujWOHvsL8yYdxHSfPIubORiVNXi5pHfe19YZMnWU95Zg0sTUrmZ7X6d/TpVWiYG4hNSpncAtuJWOUq3nqiMdP/sYUTx/yMa7MrcBCmihAFNpbsEFKvhQmldh6XZHVOgYvsXamKf/aMC9YezzIyqvu0h9kjC7HdTmiossz8Iss+ZNGaTYBlMoVrewKGhquuSTiHT+zxo/8R8HTh2vgJtVlRmffTZJNzopTjZ0ISIQgGSOKpOSDW9YWlRWywuyIvBlGlY5z5rdbG7Pk4skiyRMbQzCK2bn7Yl7/2lsZDEb84i/8bBXgszMTOG6DwawkWB0R67pd6kTV+SiKnKpe9XrgVvV34SWbMSuxCvL8ghKZH6/zgLMqT1LmlgnK1fS05Pc+1uCJZ32SMnPLQnev094VecK6URYbSZKN3s9h+jf0C8uWYPW9cnVhtU48232hKlUKSZJtR5gPxcyBLhFaI0QKdGMQWqMSw3VXBPz4G/v87H916MVYFtBxIXoBUAXYkWgEIZAAsbE786ky0E0hS8rBelYbnldoYlJLUZQSQlaaZA0WivQXZpnWVKfECaz1DKGuMTk1g3QG+afNAS6ki5C1w77vHqnVvYs6XY3BKbG3zofrVAqfUrbdSGeTX7kmf10BN4Zq8KmpanadArzE6lIjhQW2FAmOmzDQgnd/rMmHv9AgUJlLMv5o0TuuvauypDrGYnynr/IwGvtQbFVS9mZFCdQV0G8E7Ox56dHkNpipJIUy5s7GqUFRQiuMQJgi4ZODvMTi9t9IZFq7IrQNOgUGkRh8EfPWVw3Yd8Lh3R9r0o8EuKbQ4+squ6UFvLEVjVpAjG2EUMJWH+YkAvnIiiI7bCgC+Yzdy9MLUpcmq3tJVzRHphdDepS1MbQmmjRajSPNun84DKP1AG9N7uDeez7xOSWn3n9qedcvJMOzTLTs5SNE4VE7aR1IpYRVjoGywtZUWDq3FTHFv1kH+DSwrMiVqgYXaUNDLxS8+9NN/uO72iysenb7BZnZgcqegBTkkqr2LqRJ2b0tDtx4qr5S8VYGeoXGs/erhVV/7dtYwVUV9GWgk6+wRVo/dTN0FuCJIqWfOSvYLCdpxlOk9qHQiiTRbJnR/Jsf6oKB93y6SS9yS7bhOMCV/WCiqC3PRijHWbKnxOBKkDO5fRSVGnv7vijOi7HnSctCjmXEIoU9UFJCy9Vce80Wrrt88v0PPnLf51736tetBzhAbzCFcmt3DkfNb1XGv1abMA8unVLwaAM+k2rhKoPbXkxTgHyMpXObP2PHjOlL/zZ/nbN3CmyhESm4ldAIHz7xhTq/9q4286slx0Rk/Yfr2dstBZWVoUNlaSIyO7QcXFZlCuPvizGgI74mez8fi9vmAgpNntelZqA3ZBNgywwu01S+MEUCRRssa2uRShKDSJslhMg2f03ZPHVW4jBm61TCv/mhLstdyfvvUFBLP2DO5KUPnx1rUxxnjMSkGjwRkIZXJXli2T0nEbJzQon1SzGSsSUDDulxSS8alU5/aDU8JmrOE7s2te/s9YeV46vKL973vnfz1m/ec7LmxTc6cnS970T4nsZz0+2t0y0/nPGhOlKnY9Cq/ZFZOr3aT1l6na8A65/niZ38Iiold4RG+obDZxx+/d1tJVAjqQAAMJpJREFUHt9fAz/V23l9t1N6bTfa8vI2tKLtzBlrpyu3k8nSgc4ylXlGMW0vy5ZSmVlgopy5LG0FI8s/q/4NMX6hyXKGU+S4yVvUsh7WLP+Q/Q5ZJZhKo0bpdWVcWqkoOlth0YaJyYR6De5/0mVlNT0I40tN2eIZfz7Wr5atQtpAgiAxluUz7R4be0HE2Hu2+7PdrqSosMwYpVhhDb7ngFB3PPDood/9wR/4x5VP6Yx9arZs3Q5C0F3u4oguvpvguaWtPspzR1Sy3hFJD3zmoVcOHFUWp/Tz8sGX6Fym2N+XpAFnCm7PcOSswy++Y4IvPVoDP0NEWZJkEsWeXVtQZSrb7I1LkXKyZ10NSq6pMyavziHM3vubqJJxyKybPlsS6JXSWdLhlxX7MNPkpshqanuhFVpcpnXeBiNk6rAULK5RiBG88oUBv/KTHf7tOyY4ehZwU4CBtQxlWaKkH9RmaIpHsD/PsjpZTjfVeEkFtEWGWGEDVicNA1xt1adW5cI0u6LNOj67du0i0ett2nUAv+IFL0cIJzyx/zyjztl0++vSbmQySTW4zqVJJTgsyYz0q5SW7uID5NvalUE/rsPJZEpSgN01HF9w+KXfm+DDdzUIUaUSWFmSJ9ndArcC7LHETsUh2SC43NDz3sgHFGOP/5u3ccCXwV1cAKXa8TTDmEkUU0rfm7G7TgNOodNzZUwqVeT/v70vj5Pjqu/8vldnd8/0XJrRjI6RNKPTkizZkizLh3wbYgc+Bmwg2ZCwEI6FOOBlMXEIWYfPQgxLIEBCsgkmgJPPxjF2jA0J+AhY8m1jbEvyIcmSJVuWNNacPdNHHe/tH++9qvequ0eSJVm2s+/z6anq6qqaOr71q+/vTkStb8e46uIKYgZ84a+L2PuqQoxUMLl2lJwl9CQFd0ZJyeYWEFM8CCYmto9BEMrgLJsTuATwGOBxIKYi9jtiBFUAK7r6cMU7LgnCMMbnrjkMwAutnbDs4rUz+2YtG6fPnReHU7KzWZymhUm6oDyMWVAmTg/CD3+vM1JcAZ6ASS7OQIh4U1Ab2HvIxh99q4jb7s0jIFba6yTh3Jr1BBSEiHhv3amj3L26cnM4j6XekNTAsRZ8ot+uxucq73PWJIjUBAgDwATQuLgCMzQennZLJk3Mhzonz0hxLs2GnMsHhAuXPhNu8jgSjXPff2kFtgVc960i9h6CrO0m+QZRj6E6c5ZKcHXS0/q/MusmmrwoNccJRcAoQkJQowQOA3wL8CkBDWO0tragf2DBfYML5lw7MjZZt/c6gNtOGyYO3FryPH+755BzQh5ZohWfrKctJXhi4ZBKYApoBVJ169JINP2k6uPMdaDrSqvcv0Wwf8zG5/+qiNvuySNQwDZArS8TkoAQcZKJ4qKHXzaiIs2ATkgG8KkQaqRLmtum+9NPu1FxU56Zr4sTT8CsUxMtE1+Gs/IGUrteigtws0QJZTJDX2h1hArXuw2OKy+qIGLA577ZhgOjtqZsKulNzSvDqXnLefbMsldDB7sCeno/OShCShESW3hGLQIHFAXbjd1cfvvXvn9v6bP/9eLDA1yNsDb5iWrUuc6zJlbn/TI8twbHjhL3uG7bBjJPcjKP9FXFVf241NVcJ+sIQBT/TqgOQCyCyKb47h05/OjnPgJL05ySC6H4Nk0utvKENfNY0gxglaQ2KAvqQW0Imuxvx2PwBuDXXfYK3NDBDxPoSOezkYec0cxDIKU5E0EeQqJbgrKIjGQ4BLjqbVVs3+3gK99rQQRIs6GiJDwjueMMfuUBx8lBm8ppI1srIen+BRAAaiO0HUSWi3aPYv6M3JbxiclPtLW1NryUDQFe7H0Pdm27Kaa5Zbw2uRN5OompIMLTzxCUyoClItmJXphcvbtJejJIX7lL50eY0xMj7zEhGQIhbepGwsflV4nMux/0cPNdedSoBVNSZ4GtSW8o6S3trkizclIHA28svbVPloeTBg8mEusExWseXJ+I65i465N5JHmyCagNKZ+lKbJ+ipQ7hvmQZ9PddNrChAkRXCiyjMGLOd53aQWPP2fjrod8IQqUgwBAxuWZnhQDEHAQiyPvMczuibFkQSQzl3i9IFfnr6SMvPCUEpSmLGzd6aES5dBSaMU5py/grhXEjaR3U4ADQOesc1Gplm/+7s8eWTx0MCpMVIC7H7fx6qigvYYjQ9fGCDLiR7zCzlkZ4LSFIdaeGmDpQIjBvgiFfAweEHCW+ecauIlF8JP7fVz7zVY8+6IrbN2JrUwHtmaHlaKVEuWWz1hKjOi2JtQki11tGTLzdbfmNYhzQ6hlQa/JC0geLhRCcSR1XDxLU7KANxRNk67o9AVcPlqSnxNwrBgM8PVrJvBZC/i3zb6gJ4kJMePcYhwIOAo5joGBEEsHxP0/bWGIc1aE6Ukntv90W90IAQjl2aIEr45auPtRD+NlB7libur889be7Dp5fO7qJvdiuov+ua/9a258ovzcP9z8QH+NQxRT56GIMNPvhH5HOZAECyRPqAgfszlDb0+I+X0RNqyp4b0XVbB6YSjqkofEfGYoAbGBOzb5+OO/asW2XY505GR4t5GG5iQRg5QIs5JHUtu3I1uR2MrmTSCbyOpZO8IubqvMHaqVZ0uWkbrfjPbmVrosW8pNlW5LuzXr7bwzPUAblbFLfmfJckpFPZu0ypdeVjqN4tR9E7qxIA1FTmPsk3BkoiipnFKAugRbdzu47tut+MkmX9j0qCbsOIAAsByO1YtCXHVhBRvW1DDQG6G3O4YNAhZQSY2IfGhJXQWHxLwswS8iIG1QYiMIbPhdl+2ldstSp/P3KmgymkpwAHjfpadiaHgCDz+2BXsPlVGKHISxFjrZVBxJkHOZ7MRjwI4RsRgvD1t4eSjGo8+5uGuTjysuqODyjTWsXhImyrkSyHds8vDH326R4G4kahN7iAR4vfQ2GrZKyZAqkCkZMKMf03vVTHKTrHw4RjI+7WaNeDY0AZjIEpLEqaTVsjSprbSMjNROl1FN2ku6Is2MhIjvhDHwkGPFQIgvX10CB/DTzR6kexFggMM4Vi0Pcfl5NVxxfhXL5oTwXA4eE8QVGzUZqsu4AjnVrEYphHQqyCHKYgShi0rVQxB3oqfjDNhon/a6TgvwBf0za+PjEx8/a0XfLVMPbS+E3EHIHYCr9qDT3RQJbDCAxXI+ArwIYEAQA0/tJNj1soV/vc/Hl68u4dJzAjjy5fBvD7i47tuteGaXI44yIcO6tp4hynKq1tLjH+pMfxo9MSxV2rrGv9HBnVEyFd/PAvVosK4RuoYfk6oowGpWFqOmYWp1SU2IZmtAw7TIZbwKhBGAWLq1RYFePggi7QYIOVYOhPjK1SUwBvz7gx4QMTiM4OKza/jy1SUM9kdo9Rh4AERV0bhWlZRL2pJzK+lgoVvXjPuhIiK5AHhpKgcrv3iKcevj+Zbe2msG+OTkBFu7avCxvE8nnti2vfBiKQCIm1CAxL2MVL1gSPv7xNwSF4bIIHpC0uIYUjcshcCWHQSf+lorrtlXxjvOqeGZ3TY++5eteHaXLbxnOhJTCKZadsbzoscxEGgucQPomTIQ+gPQyHqir6SDl9QD+UhBXm8Lz65AjIXpQ5Aq8ulDQAzpnpgTlVTUJHkqsVFnUQFJp0kMjHQeEc2mzRmAEFg+GOF/f7qEmAHP7LbxznNq+PRvlbGwPwJiDlaFLGdhIWYOWGwhjm35XUjvWEvOSN6NdQF54qxzXgX7giLmDlwy4eYXPDY+PjkNlTgMwOfM7gFgHZo/a/LKaz488MvPfvMxZ+/ITDiuiOuwdde3dhMYREZGwAkCRhDKE0lvN0+fAouBU+CFl2z82Tdbcd8TLvYPUQFuF6YobWTeSKiKRk+Q1jfR6YkeDps1BQK8DtDid2JI+OlYCMnMTPuOy+hjyX51F732IBg6u2b7NtZX5tc6msITy0kimYlmpUlCA0yzoeEVTaQ8BRCnCmlIsHwwwp98eAqvDFm48NwaZngcPALAVCy6lNqx6OkZKYDHSqpToRgrCU6QmIkpTcOmC16E3UNl7JxYFY7via58+7yWQ+VKfrqrjGltWoTYYOxp9Mzq27d46bJd3TN64FGOFgsoWOm0YHMUHI4Wh6PFFp9Wh6PNFp+8DVBqAdQRH80Ro26aBWDN6QGu++AULlwTgDLILI5GMDIpiQ54AmhhmQ2sJDqwFWgbPTeoB7XhcJsG6GqnR0pRDFd8Zs8GdclYGsxtdMcQ0aQ6UqmdWWbSEB3M6X4M93qTMn6MENz7Kxc3/CCPx3/tyCKbysknIxa1prVR7CAMXQShiyBwUAsc1EJXTLXvYeQgjGyEkegDWqnZIGQmZvUu22X5/fvuefgFFPIWphuHNdpSauGG7zy35+lnCx/ZsHw12uwwqaHtWxx5R35sjpxjfs87DHmbo8XiyFuQNmIZEKVGBFAGXLC+hm98poTVS0O8++IaLjuvBofw5mIwG7MqT0VRJosYj0JD540Bbn2ZhmrS4N8a4Dc4vGbmOkJwNzo/nplRIbRqmZldn36QAFvzofAM8BPAayCX4DXmNbeXQXX0awGRg/nT+1zcdo+Hp551cM1ftOLeRz1RuNZOjz+lKaJOYhjZCMIU2NXAQUVOqxrQg9BGxIQnc2LSxYzuc7B6gHzkjNm/3EPp4X0O9uFWIGQFKuUp+Ln8/lmdZPMzO7ac+9SuGiw48G0G1xaFclTGs57hHcaqYpTYV8gIatxKU44Cjv6uGOtXV/FnHythybwYPABWLQ1w/X+bxNCohUe3eiLCxkBYRtHUtMCEc8OkI4bnUrekoB6wjR4ADfPJ7dWXqxkDBnUr1IPYxDepW5JYWuUDxCW3yWbep9xbVyhTisJ1C0uiWOqKKUlpCtG/I3mKzcgiAuICv37GxvV/04Itz7mAC2x/0cGnvlbE9R8n2LCqhv6OGHFFHLNolCXAXQsdhKGNMBbNs4TSiSQgkRCRXOM4BLbFEUUVDE91w5m5avOc2efsr9aquGhO7rAAPyK3Wy5fwCsv371zw+nkWx+8sh/FfBkEHHmXI+9pH1d8ci5HzgXyLpB3OHI2Q87m8C3N9FNjWDQnwBc+OY5vf3YMS+aG4DUGMKF1n7owxDvPryLnM+HebSjKTZDr1pMUqNyU0o3m9e8KqMQ0U5EEYDpv19Gb6a0+zWjmuEuVQ5N61AFZ83gaklpxacVns3REaRvcBHC6T7VdelDGd+2AqA2UawQ//oWPLTulGZdScJfi+b0u/vCr7fjiXxexY58F14ulw4ggikUXuFpgoxrYqNYcVGqCflSqDipVB+WKnNZcVGsOOKM4NB7i5all2Lq38K0f333/zpx/eHADRyDB1Zg1Zy6AwmP9/cHta5fVrnjumb1o9YnoCCFd9upCiTR+LiR4LBNJwVGORKx4XGMYnFXFn35sFFdeVIFPOOJQSC8C8Qp2PI7f3FjFv2328OAWHw1hoxNm6NJbz9zOgp6bYFZ3roGk1sGu/l0zHt4U1EfIVVJpWQ8m3mAdM8dAgVC3ovBEITWVST39S14N3XqS7ECjM+oA9HOxgCe2OfjJJh9hZAmPmhIpNjA0auGf/t1CLSS4/mMl9HdHqNQI4thCNVQ0xEYYUoQxlY21Uiqk0iRDxwIhEdo7V8PrXXn7K5VFj3l09Ehhe+QAJ2QZHnp6/55Fiy78VH/PC1YwOvQOihocW2SqK0mgwM1krYswEgfKAJRCjjiIMdBXwvUfHsF7zqvBjmzUVKk4yPhvzsACjhULQlywoYZf73RRCalMr9aQB3M+zYrRKyplKAlpJKkbUxJdGjdiG9koz6MFdaNRJ7UTapFeY1OpJEjKFytuDc1OrtMVIytf4+26bVxzBuknqB8XpUC5QvEfj3jYttsWWdzQ4/EJ4APVmOFHv7ABSvA/PzSFnrYIYyWKas1BueKiGlgC4IyAxaqeS3oclIjssIh3ojhj9p2nrTrvU6exV/YSa/7xBzgAbDi1D/dtfmTve35j7dZ7vdI7du/eDdu2JKBVcXaOmBPRL0UWbnEdAbZXJznmdZVw/YdG8O6NDAhzqMQ0sXlSwkSQD41gMeE2fu+FVfz03hye3GVJ3TQLgQz/NvDGTexlNMmsRSW7blY6NwJ+dv41o5vXf1UmM2VZ4QnCVehsKp2NbThJWmqneroK2EofGG78poCdPijmoaluyBzEBp7fa+GWe3NgsUw4ofWx+LCAagzc8gsfHKP4wu9VQTnFxJSHyYqNIKCIYoqIEbAYEjdKSIr5KAph+fOQ6zhr6wvbn9q7cMm6o7qsRwVwABiY34e+vllfGR7aM+BZ5fe9emgcQcgRx1wqCaIeNWNpxSHGOFp8Aj9fw9vPKuM31uVQLufBOYzSEJYVw+JRcsmtiKOvI8bsWRGefNGVGkgjMImpUVQGGi3RwGvwc11Iqd3o/Lsp8BsTbcH3TVHftPMaMtSDZJbzBusk/4WlgNX4t7kNT6hGCmjNfq5bSBJuDuNAGqWrECKcPC/vt7F/xJI2Wb24qdm1jjoEEeO47cEiCvlhXLbWw0RJdBFRnRkYF5WrWIwkFzOKgUqVwfXb4bX039y/YNVX9u/fd7RwPXqAz53bj82b7hmfPWfeh0qjO2bXqvY5pXIs0qXkNY1jBXCxgFIC36XY0Otg1XyOoeEKHCeE40RwZItt24rERacihoQQhjjk6O6K8c7zq3j4yRyGK2igFpPkb52SWSelG1EV3liCZ0Bd58HU/md2OwCvVY6nCiNJJXbyAPAU/Gb1K10B1awlRAc2NAdQJnlCSW2SAt7g3vp5UY7hMsGdv/QxfMgG8ipE2U79HNQGpRY8CuSo8IPkbIptz80ArdmY3W3B91T9xLRLQxybGKrUgIBb98+dO+9Dd999T/ltb7vkxAMcAM7deDG2bX2qvPK0S4Ltu+8ERQmuZyUHHDGOKOZgsQCPY1MUfALfZRif9GFZQCFnwY9DMCcCd0w7K6MMVJb8tUgsuDTL2hWyRjszFNbAZZZnIyORM0pkdjtjX/r2dSiWD0GjeIpmeFY0RCqOBjvQJLvhgldeSAPZWjCWQWFSEsONpyT9rjdfTf4ZkAJdOwICADSNHTHqPkqAU0pRkE7AvM1QcDlaPI72PEEt4BibjJGPbDi2OL1YtiCJ47T/D6UM/bPbcf6FlweE0NcEbuA1AhwAemctAOfs0dWnrd6w7elHcjaN4NjiYtRCgmpAEEUCcK5D4LpiPogoKjUnqTsCKVkBIR1AAMpEiV9KKBBT9LTFaGlhOFRthCdpIsxI62xnN51uZEznBnh1NNZbW4CGYv54iG/eeLt60KXT1JzY3C6ecHLtbWBGGcptdIUT9SmF6blxlKYsDI1ber2KBOiEUOQsIG8pZx+Qd4CcK5oMMwYEgQjP5UwYKMKYoRYwBKHIsbcsgtaCh1NOWVVZtHDBo8eSRPKaAd7VWUS1Wvn8BeefyyulfdeMHtrhtxXEa2diysLQKEUYyRJelohpJhCmoDCkCB0LYaiVoEgqWLG03yOniGsEF60NsHRRhD2HvHrHSMZE2DDcNWMeTGmMbvHVtyP1oE7DjbTFeseD6a7WMZhV0MiygtQBI6W2bgfXuTSHFodCpJOIw0h2ML2gKcgbe1kJnt1u497HXGkaNPNgHUlLPMrhWuLj2ByOjIcHgJhxxDEDk8viGBidiDFZEcnlnsMwf/6C6srVG/4yjJ0/KRSmjzeZbhxDfhXg+zn29JMPX9/XO+OrC+d3BvP6xrBswRA8bwxDoxGCIIYqVSFfjom9M46lBi09WTGjaWMlGSOsJEo+x+H7evmJenFr1DUB6oKqsgU1oc2TjMSGtjx9SDIcvBFmjxbHfPrFibKZOGOIwb0bb5Oa+Yw4FINvZ7bV9q9dCS0uhmh0B6jWCMpG33uaSG/VTFcVV7KtNKEj+5YkFPAcoKeTIWBVbN0X4oWhGIVib9DR0f3VzQ88dH2hkJ82WvBw4zVLcDV62ieDro6uG55+ri14Zlfti6XqGL33UQ95EqKvy4LjUINfK+kRM607rwQ3Z6LAuuF54xRgcYO0tpRgZN3xVDMP1pd5QCpw9d8yoNdvhD7PkT5IBpXRPs3e7kczTCBnzYHpd4OGJIqkPtUejoRv85SK6NYULR6l7sEwrj2QdIrSUgYJUb2NtIrERLWIyVxXiGwo3wPmdDMM9k8i3z4J1+pgg3M7vxhh5tf3HRwOjvU6HpMEB4Alq67CM7tHK4XWhbf3zTmTP7itBc+/mAMlDDFTgfLJndE8aqlJKCnRxU3TVSN3tXGVNalK9SnJFNUkaKBsZrh5BvQG985K+Ok4N0ml/ZEOg1fr1CAjrQ39M+t1BOo+ybbJl0xgFTM9leq3RFonjp9m19+cF2U5zEhOvQ2MHjCtlllU4GDpHBtrFwNnnXEmX79u2e0L+icrf/DRK4/qOjYaxyzBAWDN8kHku3p2bNnS+on1p+b+pjzyJPU9AtuiyQlmr4lh19XjIjK22MYXVkMZ0QGdoRWAoWjqwE2lfhafpsivV0KbaIK6xaSJwjjd0OO9G/4LnV9rDiBTiqf7SLPn1Xa6e15ycWRT21LprScgJO787IFlpI9hns2+OTOri//DEcUEUxWKF/YVcfqKsxnLrfzEgcm1O1r9F4/uAjYZxyzBAaAwYzUefnwyWLny7Btb/dxnVizuRs4BXJfCskjdq0k3zQHpfDNpzZL1dXCncptAFvRBWhqioR1cXWzdmqJ9b5rJox03UP+gHKMOmY46S0njC6ObDBOkq+Wa48bcLUlAbwqUTCShngoHmkh43bUPLkobT3feRsKGcU6pFzWOgVoAjJU4JoM+cFb8zPrTz7jx0lU7g4s2DB6XS3pcAA4AG9Ytxv4DB+P3X3X5C5e97bzSrL5O0ZqSaiXNiNbgNQGhSSNIRhJaNsPeVywcHLbAjOwemqBMJXU3Kw1xRM6dBqBPjqNJzmXT0YBvTjt480V1dCOz0KyhY74J6z6ARj8yyQ3ISG8QbT/KykJAODCzK0b/rFhUu88cM88cU0pBkeSgq5XjmGOqEgNWEYPLzi6tWPP2F0ZGhuJ8+5LjBcvjB3AAyOdzKJen7lx92upPXnzReSPtbS0Igggxk8oZQVKqmGrmQVX2N1F5tHw86nL8x68d7NhpIwV3iiCV3KBArmiHGTLbAOjIcG6IL015uL5+RkOdhqUedvBmK2fItCFxM6s0tpGnoEQGzKo1d0MFk+vrK0WTGMBfvDDChacHQKAdpEyLi3mal5voWEyAWTWQAlTTXIZ8Po81Z5wzsnzF6k9OTU3d6XpHFgZ7pOO4cHA12tvaAACTkxM3rV13pj1eir6yefP93bWwglYiCpbbNpMfbrRDUWWYjaL5cr+UqmLyCl1pDqbevFUvqKk+RmFNNJLmKbiy3stkWbJO+otBY5L91UN6Oklu0G3di6lxbG1P0JekkpVL1iDnk+1Ta4lqm51KaZWlzusrz0JrMgvZDiXp3iBMt5CBdOmB8+SwGRe1v0VXNJ52S1PeSvlw2TbQP6cN684469Wly8/8XBxHN/X09B1POArsHPc9AmhpKWJyKviHDRvOvG7p0iWvAkJqe44w4ns2g5vUG0+LzxhdjyEKbwLyomQrWUmKIiR4phxyJuZE1+QBbgC5qWs+oyQ1kujpr81gePSjoQdR59gNfsomLjBopkBdeTc8maZdnDMzOYLxesme1FIBYFNV84ZB1cDhnGvgFhldYQyEEUEtAoKQI4g4okiU7xscXPLqqavXX2db0T8Ui8UTAcUTA3AA6Opsw+ZNm25sb2u9dn5/70jej1DIRSj4EXw/hOuEcOxI1B0naasSvaqsZTOMjVE88LiH8WqmZBsEuB0KI7NfhN2mvWAMawmpl9x1lAUNpHYDhbielJvSvX5kFL8GimPDeY4sWzGWZc2EabuTerph8u4scImsU5L22RS9NxXYhcLJGEGLB5y9JkBbhygNoZ4eDiDkIk9T9MkkCGKCaiRCN8oBUK4yTJUjtHfMHLGdlmsfeuD+Gz3/xIAbOIEAB4B3vvNyFPzaD+fP67t64cDMUkfrJIotVbTkavC9EI4ta45baVtCBW5I132pSvHcLkdkjVCzBqHq2mCUiKANzFXNKIqOO2VTN6R9vTWFa78lI0vU68wvRzAy4pk3+J0YKIch2cVMJulYW01X/LJAZ0mNFCIleSqtGRfONwF8UeLBt4GlAwFa/FgAXFUx4wwxF9Q8lMWdqjHBVEgwXqUYKVs4MMrQ0TO31Dmj9+p9Q6Ufbrzg7TiR47hy8EajvzdgDIWbbdIVuZjxA4dt9TlcVGuu4HqZHvRpQR4B+F37bIxWrLRpTdLvkqSFNZH20WlYHjmZ8jqXvWEWzEjlOtwS83uj+QRVR4pvyb3rHpomlpUEvEldE5GIoOU/mHZyBWiiugELDp7WSUlBTjlkH00uOrRlS0soyR5TdPgMg7Mj7HvV5D9MgZsIi0ssn4FywMDDEBvXLKh2dvf9Pkjh1gMjtWNywx/JOKESHAAWr/ptdLfvjwdXtt16YKr3d378qyXVe58IkfMiEJhFIZOa40pcUY67HnWxa78tgxnSrBGLCHoiimby+r6XJOP8aZK2pn8HGuAyY+cm2d8ajKOS3YexJatpVuE0BL7u4EFGQkPj2Znf9UZPnBPEWcqShFFQ2RpcfKKYYqCP4ZIzaqntT/M0hRyoyRbeADBVAzauGsaXPtlaPe+Mtt95dmjRrc+8Uov/xx+8/8SCD6+DBAeArnkfx9dv/LvYWzDnttJUy++2the/PzTyQj6fC0VrFFlQ37ir4j6iFlqIuOpYLEMyQURQj6ysZRPItoZmTmbWw1kXD5EFbyPgo5F0J+msvvi1jIy0r1ciVapYg/UVaIkyH6aSPDUV8lTzJSINjCSNnFR3BwBcSlxGQGRcCYGIzWeMghEREEepqC/oWhE8J1NlGMrGLgAODviUYVaB4ewVp5TPW9P5wdXrKrc9+cRj/LQ1f3jCcQe8DhJcjf/+4Y/C2RPyz109dkv/7EW/H1mLximJ4dhT8NwaCEHK+UBAKUd5imB80gI3WnJbsClk6TjVMjotgawnHKdxKQ2kdxMJbt4rXcHMOHua0Jj6fRzjMLCdJhIbPxlcnJjLEts5MRwuiZUEJFUm1Yen05jJSE9GZQk28eHcQrHA4eVZ2kGNUAVxkLAGRBUwAOtPnTM+o9j/+6edMXrLI/f3vG7gBjJ9Mk/0uPPHt+Kyiz6IDeuqW4utXa+Uohkb73l8PO/bk8i5PuJYpHhYlCGfD7FpC8Xf3tKK4QkfcFyAuqCWJZsQcXhW2vNS9b1Udb5VFFsCdmpKcpOvE0PCU7UdJdoDQbSelJnlBKKeOVX7Ick+xe/Z7ziiT8Oyc0Q8asm+gMbUK5ma62SVafEl0/Q2eXrrvczK0uW6MVqKEbY972H3y3nA82BZNnybwAYwv3MUv30psH7tuuFC+4JPvzRV+KcPvNvGe678wOsJudeHouhj/cb/AgDYsmPkh26rbY+xZTc8uPVn3euXDKOtIJqPunYIzgnKAUEQ2xCF7UVxe4cCPuFwZTF7SytmryQ51UHayCaeMQsiAxDtFjeNN2lgHWz09ZiGEWqiUxONoqSvExVApdVAITKYSlIY0Y1b690DUTaPgYIk5cYoZAdOEALRqTiWhTAZRcxs0DhGzCx4lCHnxvIiUeQsgk6Ho+CGeNfGHlz78XNfbes994+A6IeEHH8nzpGM1x3gaqxc1IlKufK9T/z2+eS5be6fjx/4WbdNX4Fti8D5SgV4cpuLg2OerDvhwKYEvqQnjux8YOuKpgZui6RWEx3UCg6pY7SJdlkHXA1hanI80dxkqFJmBjfXeLZaB4puq6eCIPVyymwesUh5K9PzIQxQwBZDzVMkDv2YgxBLXlMHYcDQ3RZh9YoAdz/NEHAKnzJ4JMTi2UWcfeYlr3ptG6+rVPj38nnvxF+oJuOkARwAcvkcomDqxlNWrIkOtLNvTL36s44g2g8QYKxC8OT2PMqVHFD0YFGKHBXUxLVEyw5BT9LaiCkt0Xh4o9c9rZfWBpduSKwbBVyR+vVP8FBKpArJVTBtZJnkkKZAyEZUVJhfGYiQ3DJpgULw8hhpsXtLD3IBtDegkObVgKG9zcFpi0J05yMcmOLI2wTz+2fit646d/TM9Ws/G8bBD4qtLa/fxWkwTirAAcB2C2CsdtOs/jUjB+IXBwkf+Oro2J3Ov2zycP/2DqCQh01teFaa6+dQLpRMrb+8lYA4I7UbzWv/3wC6AfpMXqZE0OsJ5uz/VtI8a0lRCNcz8xPjia5zMoBTsXICciLrgFNBVzgnYER0WNPbFSZMSJVF5kCpBJyxsIorL57AD+5qwbsuOTfM55xrzz933Qv5Qu6nOc85CRfLHCcd4ABAqcfGDj1/p9vxAbcz92D5+Wr5O/f8ehsZKxVoR4uwaVlENpOyANeSDaUsTaHMmAYbhcnWLdcox3ROHJOHN5LaJxb1ehtBJb7r3PlEMyeqiZL0cnsQEWBFkYJcnRaP5T4oB5X9eDjn4JYe8ZjSFMYcBKGDYsHBFRtt1tazls+fu/QPPnDZku8/uX1/0Lv6+IW8Hst4QwAcANpnLAGPHwpAO29qnbHgl6csyl9VcIf/17Yd+1GKbBAiupM5SoLbslNZI++kxBvNLGsYhwIcseexmWKZHYofv5bMHnNHMCS14uKJ0FZ0penBauUkEjenzPSh4lfCRQ1A1aOHxBCNp4gq3iRMhuJ6WrAoB2cUMTgmJm1MBosxu6/jT5fFc29xc90v3fngS8G7Ll55/AHyGscbBuAAQKwNAFD5+t/eut1vX3bDuwYOuO0duc//9JF9VhxEyFmi77zrCCluW7yOcgD1lINmQA0CHFH/hXrS3XQVNTiaOReaoP0oHoBseK1pQWn+L5JQXK2WIWEkqenO5DrKBKkkNgFAYwbblr4JIkpAEERwPQqPLI4PTpzypfPOcm6wncl4wfKBIz+Z12mcDEZ5ROO2227Hu999BXbtO/Sl7996/2d+9LPHvanxEjr9CK0+4FiiJAFRvFNljiBjEpRnmTUJAsSQ+lS3mUvriuphqWzilKS28cR+TlM7OpHrWJo9XCwz+2aq/argSEs+iJYMtaGUN7DZc3OeAkRZjqj6jWvrpYWPkhutW5LU8kx2VZLWxtJa6LbF4NoMOa+GjrYqWlrycIsba219l/yF4/V+/hf3/gQXXPSbJxsyDccbFuAA8MqhEtrtEFVG//yXv9q14Rvf/Snt9iobJsaGbdexktLNTJZpjqR7WJfcZrSrNqdbUOrAhIQSUapKiamHgBjgToBsgJ9o66bNXxsBnGamRAewYQXi2rpyPjGNpt/T9UyAG2dv6Bvqf/FEgQ1jiiiiiJlY1bIYCEK0d7RFc3uDh3oH3s2ot+KhIKTXtRQiULvjZEOl6XhDA1wf//jPd8B17daJicm/275zz3v37dtP46gGx7ZQDYCpSowgEm9hiwh+roAHIAlEanYRiAayBIxqmQQlleAmTQCupL4OeAXwtEOyBvBmIG8G8OR4FKg1CZ6kAvJUesMEOICkRo2ysqj/JYLexMUIQopS2UGlRsBZjGKri/aOmayje96/eH7ho3EclVavvfxkQ+KIxpsG4ACwY+du5HP+jD17X/nUw489saIyNXHFvpdeBKfA8y9zVKuA5wgF1FbttJViptEYQIsRkkCgugRXYNTBTqFREtS565N8UKqBOwE4zFbfVAdqBuwEMke13vqjS2clsW0lya200E6Wnqhh5GVyZUcS2zo2g+sweG6EcpVgy04ftRqwcOECzOhsvX1w0eqt7R193wzD6qHu3vknGwpHPN5QSubhxqKFCwDg0Esvv/SFZcveM2/bth04uH/WFR57ADv/dQrjoznMsERBfdsSIBccnSdxyYDKSUwtHarBU53HkKQfk8Om5jU1uLRMGFk3micxO9T2hpc1u1PAePOkiQupwZtn3ktEf0iQGsPFdoJjx6pdiEzWdCD0GUoZcm4Ne4YqeGj7XLz30tOwYsXi22fPGfx0tVLe097Ve7IhcNTjTSXB9XFwaASU2gvHR/ac2t1+4FPf+b+7Nt55z04E5RJ6O2wUcgSObO8WMY4g5AgjyGpbZtYLICWplPoWFQ8HpYBt0ItU4awDvCFxUyme0hIi3ypyf1YqufWgMEJFfRc9PgbQFWEZFmxxeZxCctsWl6ELaTJ3Ep+SJDUgKX5aCyki2TrGtRkK+QgdLZNoa/NRpadg58jKTcvntX1z+SkDTwdhtLOl5Y3Ls6cbb1qAqxEzDkqw+F9u/2VfQJz/8+wzzy/cs32L5btMVjMlCEKOyQpDucaE4iSVqZgLBRUQ4LEtklhnFMWxLZLweUU1GoavaFF7BgengGVRWBLsan9WBuRGYFjW9Jmx9lAVHixDFtTHsTlsS1QtsKh4evXmTsK2TTBVtVGaEg2iGBeSvqud4LTVg/HsOQM7J8vWx/rmX7AfwPajLUP3RhtvKorSaMiSvNuf2zu8PYrjt81s92d3X7buR488/EBx70v7CnFUQbUGvDIWYHwSKHiA7wjE1ALRCY5AvqIJB6OmpcVQHikxFFfhWZQkgfGEZzAIb2G28ZPYabpvM05GN9elEYTJlKfSHBQq4cnQJRQXdyTICQHC0EIYU3AO5FwG3wvBYWPP/gKmKgwd7QV0zeibWn/2WRMt+cqVLTN697VSuufNDmw13vQAV2Npfxc4Z3uWz+9+qVKZXG5RnHk22N/v3r0z2rnzhc6x6KXW3VsiUFhoywO+RxFMMBycoPAd0c/TooAtAaOb+yhJlUZL8WQJviSJQDICIYWJRB8BGAelsuOC5uZXQV8K3Iqm6LjiSJMTUk+m2A+BaKHNZI6l2sKiDI7DkPNCeG6E/Yc8jE548ByGtpYqOorD2P5SK3KF/tLS5YMjA4OLbMeiH5kxc/7DxdaWcc7B3irgBl7HjJ7XYxCRjMzGxiZHZ87s+3mxWFz8NzfeMfjBD1z1pfddtnrb4vldT3Z1tVX7elqxfjnBey4exlhUw0hZlDdQdCWxqkjLiUkvRFFRK1Fg00ZbqrOcmOqNuFLeL45Ts6BYXFAgFTRGeRJERiAoRiTri0QxEMeiYVMsu5CxJDtH3lAKuE6MYqEK1x3GTf8xhc1PxSgHLXDctqrjz3yybeZZ2y649P1feuqRmwcLhdbFvX19Pw9rU6OEEEbpWwfcwFtIgutj1qw+QHigy6XRPbBt56uOTb966dmnWd0dxe+0+MHidveFc2rBmLVh5RTueTSPvFVDziEymEgzF0pQK5CreQ6gFjAwHiGMBLqojOHghEj6wGFDVJbiLPUoKtOgUAh172nqzAE4Ak5Q40AQiIfDkv2elBWFEBERKBRnVWqNwSI1tLXUcN9WjqmoiDmzFsQLFi28v3eWsx1s5BOElGPX9XHlB7/BBwbmlE/2/TqR4y0JcH20dswDUuEZxcH4R6njdxw8eODL926quKsX74r3DvedPrfI14STQ4iDKcSUArBBiZDaytxICYFjU/gegWMTjJc4Do5wcMaEgqqKjXKOGCZHppaIzlMeUtsSPWssGU+juLlFZcsPmyPnAcMTFOOTgGMR+B4VCikDIhCwUPAiQjhqiAAeI5/LoaV9BrxC6VfDkyNP/O7lc6wz1l0R2O6sP2ZxZXRW74krsvNGHG+t99FrGH//z/cBBBsRBZdarHRltVJeUq1WsWPHTqGsWRGiMEK1xuB6DtpaXHS2EXS3RzgwWsY/3s3R22qhmAdyHoVtCemupLptEbgOge9ZyPsW8j5FPgfkXA7P5XAsWWohomBcADvvx2grhOjpHMdNP8vh4CEfXW0WOooOWnIMBDHKNYBSCzM6PLQWKOb2DyKX85HL+c/PnGH9yPfpXZxjU3vfZSf7Ep/U8ZaX4IcbH3n/eQCwaXh4ZBOAzUEYDR46NML27z/AFvT3LBiY1/1He/a+hJEJjqGhIUTRFPIuMLOjjBobw95DBeTsAvKe4M05n2LfoRBRBLgOgWcLpdC2RPEcSgHX5vA9Bt+VtRrdCEHIsPdAHgUfoDmGQi7A7JmHsH+yE3teATijyLsM82d3oKurG/sPReieORskHrsB8fDuxadsoC2tHZRQ5wUAP29tbT/Zl/YNMf7TA1yNrq5OAPi5+j45cQiO47YPHzrwEKUEhVEenrJs6TXFArmko8jQ2VrG2K/uQi5HkMv5KOQ5iq0O5vTEYPYIHnjaRXeewnWEFI9jC67NUfAZHMrR4oewLQHwttYJbN4KDA/nsHS+D8u2YTsMhLro7OnBOevOx8wOC11tDjqK9O44Kn8DbuwMDC7FrFl9m2pBbWxW38yTfQnfkOP/A7zJaCnOAIAxAHcAwL5X9gPAcxbhMz2XMc+uwPUehudX4XsOPI+jFvLwkgtOv/7ViYO/iRwNu3JUlg0GuosE7UUHbS0UXW0xejpqCCJRBi2fnwBtLTj97d0/oWzr9dRyHEJdcLhoKxZx1vqV6Gi1kXMp9XzrIDh2rzvrzec2PxnjPz0HP55jeN9mEEJmvjy0t+2OTZy3+xZqEUcQCIC3tdpoyVN0FGP0dFRRDSwEgQU/N4m7niySvo7Z4xz84HvfefbJPpW3zPh/NjsMwvyRF7cAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTc6MjA6MjQrMDA6MDBNmlgYAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE3OjIwOjI0KzAwOjAwPMfgpAAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 52327021
{'hecke_orbit_code': 40532396679889574, 'n': 1, 'trace_an': 3}
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id: 52327022
{'hecke_orbit_code': 40532396679889574, 'n': 2, 'trace_an': 3}
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id: 52327023
{'hecke_orbit_code': 40532396679889574, 'n': 3, 'trace_an': -3}
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id: 52327024
{'hecke_orbit_code': 40532396679889574, 'n': 4, 'trace_an': 3}
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id: 52327025
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