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mf_newforms • Show schema
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{'Nk2': 4788, 'analytic_conductor': 9.558093121947262, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [1197, 3, [533, 514, 1009], [3, 2, 3]], 'cm_discs': [], 'conrey_index': 172, 'dim': 8, 'field_disc': 310217769, 'field_disc_factorization': [[3, 4], [19, 2], [103, 2]], 'field_poly': [1, 1, 5, -4, 15, -2, 4, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 1, 5, -4, 15, -2, 4, 0, 1]], [5, [9, 21, 49, 24, 25, -14, 16, -4, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036614782551213, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1197.2.j.k', 'level': 1197, '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': False, 'level_primes': [3, 7, 19], 'level_radical': 399, 'minimal_twist': '399.2.j.d', 'nf_label': '8.0.310217769.2', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{2}+(-\\beta _{1}-\\beta _{2}+\\beta _{4}+\\beta _{6}+\\beta _{7})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1197.2.j', 'trace_display': [0, 0, 4, 2], 'trace_hash': 342496075753776835, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.564', 'prec': 17}, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 4788, 'analytic_conductor': 9.558093121947262, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [1197, 3, [533, 514, 1009], [3, 2, 3]], 'conrey_index': 172, 'cusp_dim': 304, 'dim': 120, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 618508846253, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 4, 4, 8, 8, 8, 14, 16, 16, 24], 'label': '1197.2.j', 'level': 1197, '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': False, 'level_primes': [3, 7, 19], 'level_radical': 399, 'mf_dim': 336, 'mf_new_dim': 120, 'num_forms': 15, 'prim_orbit_index': 3, 'relative_dim': 60, 'sturm_bound': 320, 'trace_bound': 5, 'trace_display': [-2, 0, 5, 3], 'traces': [120, -2, 0, -62, 5, 0, 3, 12, 0, -4, 1, 0, 0, 18, 0, -58, 6, 0, -4, -48, 0, 40, -6, 0, -71, 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mf_twists_cc • Show schema
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id: 47221392
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 172, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036614782551213, 'source_is_minimal': False, 'source_label': '1197.2.j.k.172.2', 'source_level': 1197, 'target_conrey_index': 172, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036614782551213, 'target_is_minimal': False, 'target_label': '1197.2.j.k.172.2', 'target_level': 1197, 'twist_class_label': '399.2.j.d.58.3', 'twist_class_level': 399, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47221393
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 172, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036614782551213, 'source_is_minimal': False, 'source_label': '1197.2.j.k.172.2', 'source_level': 1197, 'target_conrey_index': 172, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511417390956943, 'target_is_minimal': True, 'target_label': '399.2.j.d.172.3', 'target_level': 399, 'twist_class_label': '399.2.j.d.58.3', 'twist_class_level': 399, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47221394
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 172, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036614782551213, 'source_is_minimal': False, 'source_label': '1197.2.j.k.172.2', 'source_level': 1197, 'target_conrey_index': 856, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036614782551213, 'target_is_minimal': False, 'target_label': '1197.2.j.k.856.2', 'target_level': 1197, 'twist_class_label': '399.2.j.d.58.3', 'twist_class_level': 399, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47221395
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 172, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036614782551213, 'source_is_minimal': False, 'source_label': '1197.2.j.k.172.2', 'source_level': 1197, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 202661983265235131, 'target_is_minimal': False, 'target_label': '8379.2.a.bt.1.3', 'target_level': 8379, 'twist_class_label': '399.2.j.d.58.3', 'twist_class_level': 399, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47221396
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 172, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036614782551213, 'source_is_minimal': False, 'source_label': '1197.2.j.k.172.2', 'source_level': 1197, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 193654784010494139, 'target_is_minimal': False, 'target_label': '8379.2.a.br.1.3', 'target_level': 8379, 'twist_class_label': '399.2.j.d.58.3', 'twist_class_level': 399, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47221397
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 172, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036614782551213, 'source_is_minimal': False, 'source_label': '1197.2.j.k.172.2', 'source_level': 1197, 'target_conrey_index': 58, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511417390956943, 'target_is_minimal': True, 'target_label': '399.2.j.d.58.3', 'target_level': 399, 'twist_class_label': '399.2.j.d.58.3', 'twist_class_level': 399, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47221398
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 172, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036614782551213, 'source_is_minimal': False, 'source_label': '1197.2.j.k.172.2', 'source_level': 1197, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126100789599931113, 'target_is_minimal': False, 'target_label': '2793.2.a.bc.1.2', 'target_level': 2793, 'twist_class_label': '399.2.j.d.58.3', 'twist_class_level': 399, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47221399
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 172, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036614782551213, 'source_is_minimal': False, 'source_label': '1197.2.j.k.172.2', 'source_level': 1197, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 130604389227301609, 'target_is_minimal': False, 'target_label': '2793.2.a.bd.1.2', 'target_level': 2793, 'twist_class_label': '399.2.j.d.58.3', 'twist_class_level': 399, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5186225
{'charpoly_factorization': [[[1, 1, 5, -4, 15, -2, 4, 0, 1], 1]], 'hecke_orbit_code': 45036614782551213, 'p': 2}
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id: 5186226
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 45036614782551213, 'p': 3}
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id: 5186227
{'charpoly_factorization': [[[9, 21, 49, 24, 25, -14, 16, -4, 1], 1]], 'hecke_orbit_code': 45036614782551213, 'p': 5}
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id: 5186228
{'charpoly_factorization': [[[2401, -686, -245, 56, 5, 8, -5, -2, 1], 1]], 'hecke_orbit_code': 45036614782551213, 'p': 7}
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id: 5186229
{'charpoly_factorization': [[[1, 27, 751, -598, 429, -98, 26, 2, 1], 1]], 'hecke_orbit_code': 45036614782551213, 'p': 11}
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id: 5186230
{'charpoly_factorization': [[[-141, 107, -10, -6, 1], 2]], 'hecke_orbit_code': 45036614782551213, 'p': 13}
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id: 5186231
{'charpoly_factorization': [[[2209, -846, 1076, 100, 245, 4, 20, 2, 1], 1]], 'hecke_orbit_code': 45036614782551213, 'p': 17}
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id: 5186232
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 45036614782551213, 'p': 19}
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id: 5186233
{'charpoly_factorization': [[[81, -72, 100, -58, 65, -36, 21, -5, 1], 1]], 'hecke_orbit_code': 45036614782551213, 'p': 23}
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id: 5186234
{'charpoly_factorization': [[[303, 94, -41, -4, 1], 2]], 'hecke_orbit_code': 45036614782551213, 'p': 29}
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id: 5186235
{'charpoly_factorization': [[[974169, 208257, 102754, 21109, 8055, 1425, 230, 17, 1], 1]], 'hecke_orbit_code': 45036614782551213, 'p': 31}
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id: 5186236
{'charpoly_factorization': [[[961, 1085, 1876, -549, 515, -7, 30, -3, 1], 1]], 'hecke_orbit_code': 45036614782551213, 'p': 37}
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id: 5186237
{'charpoly_factorization': [[[-43, -335, -47, 7, 1], 2]], 'hecke_orbit_code': 45036614782551213, 'p': 41}
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id: 5186238
{'charpoly_factorization': [[[-301, -5, 61, 15, 1], 2]], 'hecke_orbit_code': 45036614782551213, 'p': 43}
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id: 5186239
{'charpoly_factorization': [[[12439729, -3555216, 980794, -122944, 19755, -1856, 266, -16, 1], 1]], 'hecke_orbit_code': 45036614782551213, 'p': 47}
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id: 5186240
{'charpoly_factorization': [[[423801, 46221, 66235, -1466, 8469, 234, 110, -4, 1], 1]], 'hecke_orbit_code': 45036614782551213, 'p': 53}
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id: 5186241
{'charpoly_factorization': [[[923521, -310403, 136042, -22015, 7541, -1207, 256, -17, 1], 1]], 'hecke_orbit_code': 45036614782551213, 'p': 59}
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id: 5186242
{'charpoly_factorization': [[[237169, 67693, 43184, 1955, 3165, 163, 130, -9, 1], 1]], 'hecke_orbit_code': 45036614782551213, 'p': 61}
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id: 5186243
{'charpoly_factorization': [[[2211169, 267660, 145412, 1190, 5189, 20, 101, -5, 1], 1]], 'hecke_orbit_code': 45036614782551213, 'p': 67}
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id: 5186244
{'charpoly_factorization': [[[-47, -43, 0, 6, 1], 2]], 'hecke_orbit_code': 45036614782551213, 'p': 71}
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id: 5186245
{'charpoly_factorization': [[[6135529, 1981600, 615230, 82310, 14577, 1450, 235, 15, 1], 1]], 'hecke_orbit_code': 45036614782551213, 'p': 73}
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id: 5186246
{'charpoly_factorization': [[[321520761, -12390321, 5659540, 20389, 69045, -63, 314, 5, 1], 1]], 'hecke_orbit_code': 45036614782551213, 'p': 79}
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id: 5186247
{'charpoly_factorization': [[[2733, 1789, 392, 34, 1], 2]], 'hecke_orbit_code': 45036614782551213, 'p': 83}
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id: 5186248
{'charpoly_factorization': [[[328805689, -8939569, 5592284, 36637, 70371, 101, 304, 3, 1], 1]], 'hecke_orbit_code': 45036614782551213, 'p': 89}
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id: 5186249
{'charpoly_factorization': [[[1451, 514, -56, -11, 1], 2]], 'hecke_orbit_code': 45036614782551213, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 10, 'hecke_orbit': 11, 'label': '1197.2.j.k', 'level': 1197, 'portrait': 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iSDkU/gCYTRzE1p1k2mLHVCOgPBMPFZ7gs2TmoW25oT5xU1P2DjDGydi9gwO2T97IiNsyO2bjBs36i4fJtPXTU5emKCrz4Z8PCBhMePx6Sqy7fe0uZNLzDU1SwHjk9x9IzH6Qsp5zJwH1owXH/lPL/wtmW2rZvkzIUpLizXWGz7LLUlK92UTi+lNxQcOLrAgZPtyx87OP+iI6fO7zx2+sLnb3rlm6O7b/3Isw2Jb+j2j5rBl5bbDIcGz+Ptdz965AX/8Xf/Wr75xoMv+PffftpbWFnPUnuCxZUGi+2AxbbHYhuW2ilL7ZjFlZRzK3B4UTC3boVf+r5Fnr+nwcnzM5y50OTMgsf5RcO5hYRT8ykXuglTM0NeeHWPGy+DQNYJVcj5pRpnFzzOLQn6I0gSTS3QNGsp05MJGjh+LqHTgx0bfJr1EcYIEAG9gWb7xhGLKx4YK0VWejBKwGBYakdsWe/THSiEMgg9YqLms33TkJW+4PgZj1R7zE5IWjVB6EOSCPojybklydlFw/nlhDAcgp9w0xU9XnClYG6izuLyBCfPh5xZgPMLCeeXEk4vweFFw/OuWOCXv2+ZjVMTnDg3w7nFOvPLAQttydJKynInZrmTstTVLHQlpzqwvNTlN//fUfLdr2zeU5v7IR00L7tHifTnYh0S1iaebag84+0fLYP/yQc+ys03XsdP/dR/+NUPfvTL/+8f/fmXLt53YmXnoTM9+cKruly0SZOmHsYojLHsjZGABARCGDxhCCScWaxz/yHJ1buXuGzbkEYNfE8S+Iog8GjWJQ1f0u/57D9W4wsPBxy/MKKTxOw/OWLD7BKvf+EyV1/c5XmXtTm2kLDQFzTCIUfOGNqdJlddJFkZpuw9pmg1PJ46DpdsNgyjlGEa4Hkx0y3YdzJEeSm+TPB8GIwkz7+sz6AvufrilM4g5fiZFrs2KpqNiJWRYf1Un+Vehw9/GR49mvL40SE7Ni9yzaUdpmciXndTl+94sWH3xhZpPMXR05McPuVz8pzm1IWYUxdSDl8QnFiJec6eeX7p+7psmJri5LkZzi82mF8JWGxLltsp7W7MSi9luWdY6gnO9xVLnYTrL1vgJ95wQdY8s3PhwrFdg2Fyg9/YXa83p7/40L2f4A/f/efPNmTWvP2jZPC/+PBfc/meLeq+Bw/95yMnzv38g48fU+eWIhaGirN9w9U7zvObPzbPtbsbnF+cZrHdYKldY6nts9TxWO7CcjtluZOw1E1YaMPJZYFXH3LzlUt854sjdq1vstKb4MJSnfmlgIW2YKltJcJyV9MZaDojQ3+YMDsRs32DBgShbzh1wUfIkB3rFbs2Gzav73N+ecRjB1s89xJDo77Mk4dmaDUjoshndlozGMLl24d88MtTXLotYTQyrJuUxOmAVi3kqWND6n6Ta/ckPH4k4vxiwJbZkF2bYPvGCKViTi1A4BuEMOzYkDDdknQHIb2+T6fvs9RRLK3AYluz1E5ZaKeca8PiMGX7lh7f+ZIFbr7Mo+ZPcHZhgoXlGgsrHksdwXJbs9KNWe6mrPQMiz0411WcX0l4/qXneMePLXLJliaL7QlWuiHdwSQyvCQN6ht/VfsX/bJIzqS3vPSfPdvQWXX7RwXwA/sPUKvX6qdPndr+8KNPvvXYiTO/sv/QKYaRpDuE5YHgQl9xppvwvIvO8T9+bIlrLqpzYXmaxZUGy50aSx2f5Y7HcgfaXc1KN2G5m7DUMZxvC870DIgeb7qlzeuer7loU40oarDcrrHSC2h3Fcs9QbcvGI4MUWJIU1DSEPpQDw1TE4b1MzGeP+Tw2YgnDoXopMlrbojw/BUe2jvJzk3w2fsTbrkq5EJ7QM1TJGnMzDQksY/nJywuNnjhdR0+e2+LXZvgwYMjfBq8+vmaRAx44nDK0VM1PBmwYdpjuimoh4IgECgBiYYoNgwj6PYNKz1Nt69Z6WsWe4ZBmrJja5/X3djmTS+IQLdYXJnkwlLd6u2Ox3IbVrop7V7CSgbupT6c7SjmOynP23Oed/zYBa7YUWdheYrlboN2L6TT81nuCMLGVhoTG/7Tpi2X/eWWLVtOjIbDwcV7Ln22oVTc/tEA/MSxg8zNrQsOHTr8A/sPHHrn/Q88KpZWenI40vSGmt7Q0BnAykByYSA52415/sUX+I0fXuS6i2ssrEyxuNJkuROy0g1Y7nqsdAXtrqHdS1npJrR7muWe4UJXcLatmZ7q88rndbnpsoQdGxQTdZ9Ot0boS0ARJRKtBdpAfwgIzXRryMHTBm0ibnuwyahf5+ItATdf3SfWK9zx8BTXXuJz8FyP9vIEN17d54sPhWyYMew9bvhXb+yw91jIhhnJFx5W3Hy5Yqnf4cjJGa7dE3HHEwOSUYObrgjYvW3IIOlx60MKUsHhUx4TDQ9PQH8g0UaQakOcAFLjBZp2z9BsxWzbNOIFl/d55XMTZps1zi9NsrhSZ7ljz81yR9DuQbub0O4ltHsp7b5hqS851xUsdBNuuHSeX/3hea7ZVWN+ZZKVboNOL6TTD+j2Pbp9SXcgSE1N79x9ldm5c/dP7Np98fsWF+ajyy/7xwHyfxQAT5JERqPB6++/97MXD4bJOx584CG/N4RhZBgMU/rDtAB5dyBoDwQXBpIz7YSbLr/A2394nufuDljpTDK/3KLdq7HSDVjpebS7inYfuj1Dp59Yd2CgafcN8z3BfA/idMQ1lwzYOJPS6xtee+OInRs1SSrxpCGK4fbHapy4UGPTdMKTh2ugG1y2VXHdpZqw1uehg33mF5pcubPJxNQy9z7uc/0lNRb7KywvT7Bxo+H+vYrvfVmPB/Z6bF3vs9Brs7w0w3WX97n3yZSZ+hRXXtzjQrvN/U9PUfeaPO9Sw57tQ5A9HjsqWD8Tc34+5o7HfIaxQkpItWHnpohX3hjR7Sk2T2uuuwSiqMFSu8FSO2Sl59PpK9o9SacHnb51Srr9lE5fs9I3LA0kpzuC9mDEzXvm+eUfWuZ5l9iLo92t0+mHdPs+3YFHt6/oDSW9gbD/Ri/muudeHwuhfvrNb/q2Q41m/VO+7+tnG1vPeiZzOOwTRf3vO3Hkod+8cPbgzPz8EvW6BGEDRYzBFD9tLUAhDFIapPR44MAGfu49Hm+8eYnvetkSu7ZEnFucIAzq1MOARujTrHt065LWwGey6dkLZpCyYaQZjAzdYcjSfI1TJw1Rojl9LiEMDSAIlMGTgv5AIfBJ+h7P2SnYvdmwfUufUdrlcw8o9h2a5lXPDbnu8mXe/zlDIBrs3NLn8XsVW6YU6yb61FSdKPa50IVmzWPrBsGj+yKu21Pnxdcu8CefHhD4LV5xg8EP+3zp/ojP3tfk6aN1LtrcYOemlLnpiF3rYq7amaKUxlMGMDTCkLmpkCj26fYDnjzo2xKFQQ5E6A0Nvb7927uDlN7A0BkYVgYw31ecXzY0Jtv85Gvm+Wc3j7jmoiZnFyZo92p0C3Aretm/2R8KBiPDKDakGu665wF/amr2N+fWP7D0klue/++7vf6ftJqNZxVfzyrA46iPgB86eezetx/Z++WZeNClFgSYzAkxCPsRRYoAhAApbCeNkgYlUwIpefzgHI8caHLwzAXe+IIeL7hiyFRrgqV2g2anxsQgoNf37JczlAyGHv2Rx3BkGEaaKDbEsSFJ7RElAUaDVALfE9QCwVRLMN2Cjes0Wzf0WTfd5vMPwZ2P+Eg9yaue6/Ocy7rc/XRMNJzg5ucI2oMBFxab3LRHs26qT90LGSaK+U6M0oLn7PFotEY8vL/Gi66b5MZrujy8X4GZ5LlXBPzgty7xxUcjvvBAk70namyfU2ycqTPdajDZgnoIvmdQErSBvUcFaSqIE0GUwCjG/o2jlMFIMxxp+kNNf6TpDaAzgvme5EIXRnrIy69d4vUvaPM9r9AkyQTnFpp0ejW6g4DewKc3UHQHiv5QFOAeDO2/O4oMw5Fm/ugZznzkczPdQfrf3vAtL/I63f57JlrPHsifNYDH0QJSxD+4eOb2t8+f/NJ6Jfq0miFqpBEi104SgUAIhRACKcnADUoZPGXwlabuCxb6dT705a186ZEOt1y1wttevsJVu3rMTjVYXGnQHYT0B34GbGWPSDCKJXEiSBK71JtsuVDS4HlQC6BR18y0Yras75PQ4+DpmA/fUePIySZTYZ3rr/C46eoO9x9oc9tXJ7jhkhrbN/X54JcFSoRMtGJWeiO0ASVgbqJPpxugkzqvv+UCH/psg93na7zuhj5RvMgdT8wSpzWef8V6Xnd9h0u2tfnSw30eP9ngsaMBW2ckMxOCRigIfHsRSgFCGLQBrQ1xkl2ssWXYYaQZRjCIoDsULI8ES10Q3pBrL13hba9c4ZYrUmYn6ix3GrS7dbr9kN7QpzcoV4L+SDIYQj+7cIbDlEGkM7IwJFpx6myb9/7FF9Z3hrz9zd/2AnP6/NIfb9kw838GwM3ir3Fq4XLaZz79/WnSfUdn8bF1Hl2atTpCJJapsWyNACEkQgiEkCjpIWWKUiJbnjW+MoSeoe4JloeKxfY0H7m9yX1P9rj5mhXe9ooVrt3dZjatkyQh/WGN3sBnMPKIYkWcSJJUkmqBNsJmQYUhDDSNWkIYRAT+iNOLIz79oOTQqYCjp6ZROmT3poDLdymee1kHFc7zxOEWW6YaXHkRbJxbZqkzwVVbJIk2fP6BkFFfMtVMePXzh3zqjpgT51pcerHP2ZUhTx3x2bZhmmt2zXP3413ufUowigIu2zXDZdtCLtva5fDZJQ6dhgf2NTh4pEnDE4SepBkaaj5Iac+dMfZiTVKIEohSQW8k6AwFnRginaDNkOdd0uFtr+xwy1Upm2ZChsNJFts1ur2Q3jCgP/DoDRX9oWIwEgyGksHI9o0OR6n1+EcW3INIM4ysoxOlivNn2/zRX3x5/VNHLrxjZqqR/PYff/b9dz5xkr/8nz/8Txfg/+Ht74SZD1Fv8z2+Pv47o87ZKWU8amGIIS4kiBAmY20sW0uBUgJPqexe46kU3xMEnibwDaFvaAQpUzVBd+Sz3Jnmo3dO8OXHhmyY7vPWl7S5bNuQ4aDHlbsM2zYqRrFPmpZpfoFBSo3vpRw/bzh6TrAy0Hzy7ganF6Yxkc90TbF51mPHRo+LtsCVuztoucC7PtVkaWmSGy7zuHJ3my89JhCJz/ppSbOR0I8DpJFgJMoLaA8F55cEV5gGL3lul3serrN5XcANV87wL791gfd9tssD+5v0hj6LKy12ba5z6aY+z9/T5dtf1OXM0hKfvDtksR9y/KzP6dMBvhJIaVc9bawujrUhTTTTszFXX9FnNIq5bNuIN79kxPpJxUwrJI5rnJ2v0R8E9Ed2lRsUwJYW3CPBcIRdCUYpw0gzilLL3LHJQA6DWNCPBCPtce5sh31//dV1l++a+53nXzsX/+X/3PXnC8d/g3U7fuafHsB//Ff+gs03fJf4vp+Sb9k88eS7v/NFTzSu3BXQ7TWzgJLsMKXWllYqSClRUuIpgaeye0/geymBJwh8Tc031GNDIzJM1lKm64J+JOlGTY6eavIbfz4DOkEkCc+9us+ujRFJAtpojLFJHCkEUgk8P2D/iYC9h2o0ax6tQLKuIZiblayf8dg8p9ixKeXSHSukYpHf/dgEx09MccMen8t2pgySLl99ImSq7jM7aZhqRTTqVgppLWkPFUs9w2I7pd2r88IrV3hwb599JxRTEzWef8UUP/z6RX7v4/DwoSa9gWGl63F+aYKN6xqsnx6yY3bIf3hLn4lGm8ePwv6TEt83KGUQQgPG/s9AksDOjSk3X5WQxj5xEmJMg2Hkc24hYDCyK9owUoV8G0SC4UgwjCxrjyKblR2NNKNIM4wz3V0cFtyDWNCNBCuxoJMY0v6AUefhqTc+f/27/9f8QqLVj3+kfaplJrf+q386AP/P/+1DXLl1Rn359j9908ETS+//wH0Ltcf2TvIbP97m0u0GpTRSaITQSBEgpUFJH6UMSiqUUpnelvie1ZyBrxj5klGkCaOUUWyox5pRrIkiw0QCo1gzSiBKBMNYMkpD4rTGvkNNHtsHqTFYaFtt7EsIlK35aIVw5SaYqMNkUzLdUsxOeayfge0bR2yaWyE2S/zuxyY5fGSS6y5SXLRVsnvrMl95KuH84iTP3SWZntDUggGhDDFKkKQSYQxJGrHcq3F+0ee6y+o8Z0+Xux+usWFa0Ki1uG6P5ifftMjvfFzz1OkWKz3NSlcxv+yxbqrJ9ESd6YlJJhoxc82YHddFhH6C7yUolSKFDSYM9qKKY8WFeY84UcSJIooVozi7jySjWDKKJMNIMoqEDVAjwSgyjCJ7XkdRShRlmj62rw8jGMaCYQz9DNzLsaQXJejhgOfsXObtP77AK6482+gsB++P+aAeppd/7MyB96Wb9/zANz/Af/LtH6bv1dSX9p1785Gj5/7k4b2naqI5zeceUPjvFvzyj6xw+dYuSqZIpS24lc4OHyUNvjL4nsL3DH4kCXxhvwRfMAoUUWyBHseGKEmtK5I4RwpJakhTTaqxeltTgDuXQp4E34fQE9RCQSOUNBuKyYZkelKwfiZhx8Y+reYKH7sn4o4nZlhZmODq7Yodm3wu2TYkFSt8/oEGTd9jblrRagx54jA8fcTjqm2G/khxzSUxV+82nDubMr8cMBg2eM31Xe56fMDB04pmXRIGE1x1keaXv3+R258a8Knb17HYMexYn7Lc9piaUEw2fVoNn2bdUAs1YaAJvRRPWakls9ZKY7AJKy1ItCRJBUkiiBNJlAjiWDKKrfMSxYIoNkQRjOKUKNZEDnGMYvew4B5k4O7EknYM/VGMjHtct3OZX/yRJV57vabTn6TTO14jaH2g0eJfhPWJv1o+/ofp9I4f++YG+Ho/lf3+yncdOnL6Dx558nhtMvRoJ4qRmOBv7lVEI8WbX9rhLS/vMT2R0pUaT6aZzrZ62Pc8/Ngj9BRD3zLNyJdEgSCKhf1yYkWcQBRL6yAkpe2XpJo0te5CajKnJHNLcndGSSt7Ak8QBpJaKGnWBRMNw1RLs2FmxNx0l8Ss8JG7JO/77CzrazWu3i7Yvsln52bNjk3LfOyrhqWlGpdtVExPQKsRc/6Y5MJySLALRrFgblIyNQUHjxqWO5pzCzUu2VnjZc/t8uk7a8y2IAwClJziqt2CH3ndBXx5gb+5e5qnT9fY0IlZP5Uw2VS06opGXVIPPcIAQh88zzpMUoAUDsixF3aqIU0FSUoGdIhTQ5RAHKeWFGJNlN/HOrMdc1cmsyATK0l6saCTSLqxJhpGTIYdvvM1i7zlJT1ecR20e00GoxqpDki6B2oY8+7B6GIPan+B5ZlvToD/4fs+Tprq77/93qf/x6kjJydmG4o4NQghaAufkWjx+QcUX32qxtnlRf7Vt/eZnkgYhTU6/RqeCvA9H9/zCaKUyPcIIitNotim0i3jCMtEGSslCcQppKl1ErS2AZfWJu/hzMBtAW4DV4HvWYDUQmjUNK16wlQrYW5qwLrpFe7ZF/GB2+rsPzrFzkmf3Rth68aArRvg0u0d+kmH+/dOUFc+c9OKqRZMtUZMTyYEgYcQ9uIajAKWOjErfUO7l3BhOWD7xhY3XnaB2x7os//0BI0wxlcBQkyye4vin79igeddeoEP3Nbi/ienWOx5rJ9ImGokNGqSek0R+oLQl/i+jVWUIrMPLcoNtodVawqgJ6nOVrfMWkw0SWrBncQQJaY8YuvKDBNLKv1Y0EkE3QSGwwSdDJitd/iJ71ji//vuHo0woN1tMByFRHFAFHskqaJ74fSEqtV+tzH9nODQkx9/38VXvfGbD+DLK22UUj/0h+/96NvPnD41O1kXxKlhlIJKQAlBR3gMZIOVkcf/+EufvYeXef2Lerzk2i4b1kV0O3UGo5DATwgDn1HkEQbW3ssBHseSKLHLbpxknnZKZv2RMbdEG0pw2yRlxtzgKZswCXxDLdDUawmtWsL0xIhN6zqcb/d55yd9Pv/gDEvLTS6eE2xfL9iyPmDresGuzUO8YIUP3eFx5GSTPRsk0y3JZDNFyhGn5w2hJ5ECjBFEsceO9R0eIKXTVyx3DOeX6uzZWuPbX9Lmr74UcOx8iO/FCOGjTZM4kTx31zI7vrvD5x/u88HPz/DQsSZbpgXrminNWkotEIS+IPBtrOIpbOAsRVGTYbAXmTZYpyW1gM9BnqRW0lmwQ5TaWpcoTx4lgkEC3UTSTWAQadL+iK3rurz4umXe8KI+r71e44kGyys1RrHNrtpDEcceo1gSdc7PrvMH77j82jepwaDznnr9H6am/B8E4EvLbXzf/5ef/fwdb3/s8afWh75BSkGUGAtuaVBS4EtBT0q6skY78vjQV2rc/niX6y7r8N2v6PO6G9rMToUMhiGDUUDo+0SJTxR7RaCUJIo4lSSJJE4FSSJJU0GqRam1taBQJSbPiNpkkcqSRYGvCYOUepjQqo9YN9VjEA/40hOGD39lkvufnGI68Llqi2HTjGTDbMDmOcnWDREXbVnm8WMDPnnXHJPKY25SMNEUTDRi2v2Uz361Riuw7pA2MBh5vP7mEZ+5z9bEtHuaC8seW9e3eOMLety/r8vegwHNMEFJYUGuGwwjq/X/+cva7Nl0gQ/d3uHep6c4sVxn44RgsmZoBJqapwl88JRASbIEWZZbyKCuM6mmdbnCJRnQLUFAnAriNAN2Khgmgn4i6KXYmCeKaNb7vPFVS3zXKzo8d0/KhmmfwbBJpxdkrO0zin3inJSyYxhJBsf3rQ/q975992W36H6v895G8+8f5H+vAF9eWaHb7SEl3/elr9z53z976xdn2yttaoFEJbkmtKllT9jDlxBK6Eqfvq841Qk5c1+D+57o8VdXd3nzywa8+uYhM1MB0ShklFg2iBOPOAN6kiqSNEvYpCXAtcmYW5c1ZbkNqaSt4/A8TeCnhEFMPYxo1QekDPjiw5I///IUTx6dRMQhO6cNm6YM66YUczMBG9dJNs/FbN/Y4eR8lz/8VJNkVGfrVsFUy2OiCRONGOFHdAZNplpWmhkDcSKZCRWJTujGAd1+ynJHcXq+zhUXtfjRb1vhHX8Rcny+iafi7MLwSJIaw0iycTbkuRd3uPqiHk8dP82Hv1LntoemONOu0wwVrQCaviHwDL4CT9pzXmaI7U0DRtuLLtWC1ECSCuufp4IotUmiQSoYpDBIDEmSoOMRs7UBr3n5Cm99eZdbroqZrPtEcZPldsgoDogTr2TtJFt1E2VX3FgSJYpRr83jj9y+fhTL/37Jpdcn8+fP/Gm90aTZ+vubn/j3CvD+YECr1XzD/fc/9Hu33faliX63Qz1UxInJspFYlyTJGFQavNTgS0GgNPVU0FcB/cTjwqjG39zX5I4n+zz/Cz3+9Xd0uXx7h/VTiomGZ9kh8UmSEuRpDnAt0UZijJUEpggos1S/MjaI9RLCIMFXEZ1BzHwn5rc/VuPohWke3juF0QGzdcH6dYZ1k4LZCcXslM+GWcnG2YQtc31mp5b5/COah56e4uqtgumWpNWQTDQ0zXqE8EeEoYen7O83BtJUMhh5DIYxiRZ0B5puz7DU8Tm3OMFNl/a48YoVPvSFGvUlhSdjC0jjkaQBUWx7PNdN1Xje7h7Pu7jHAy8+w/F5yQdum+LCSoNTiyGBkjR9QZDLMGlJpiDyXKpgmTwxgkRDrAWjFIYJRNpAmkASI9WIzdMDrt5hv4/rL0+ZqHskSZN21wI7yYBtV1gvk40OuDNZGadWVnZXujx0/+2zxni/d+nl1y6PhoNP/n1i8u8N4E89vZ/NGzeq93/gLy7et+/AxPJymzDwSFJTJHFs8kaghMnADV4q8JUhSAy1VNBQgoES9L2QQeqzGNW57aFJ7nl6QDMc8S9e22brbMLOzQNuurKLJ2yLmBBWrtispK2VNsZhbgxCGpSwnrkhAZnw1FHJg/s8Pn1/i6dOtIiSBi1PMVc3zDQN0w1jffAJj5lJj9kpwcaZhM1zAzbNLXPHkyPe9en1bJrymJuAiaZioiloNRLq4Yh7DiiGkYfftKAyRhAlkpqnuHbPgPuemLKFT4OUlY7PwkrI+YVpfvR15zm1sMh9j87hS0DEaCgANIokvYHHdKvG1ESTG/f0efHVfb77pfPsO6n5zP017t9X58CRJonwGI0U/VihitIHN/DMcgJGk2iD0RpfpEwGETVibryux65NQ7aui3nbq0fUA0mz7hNFDdrdIFtJvYxwVOG120OucYhMTgpSLel32jz+6N0Ty4vnLn7Zq9+szp46lG7aevE/HoDvffpptm5eF9x33wM/kMTx/1haWqQWehjDKnBLactPVYKVCKnBS8CXAl8bwtRQU4JGKhhpGKY+g9Snn9bodlP++4emMUnMhrkhV2wfMjuZ8OaXDdi+PiKORaa3JTjMTf4ZpEZIwUdvr/P44SbC8zh+psHp8w1qdcVkKJhqGiZqmokatOqCyYZioqWYbnnMTsG6qYQNs0O2rO+QmhU+etcEg16TS7YaJhqKVkPSqmtatQTfj/j8fTVGfYm/3naL5hKlWVe85vkD7nxE0xtJeoOUTt9jpetxbrHB5btavPmWDg8/1eD4UgslNRBnetknThWj2CZmekOPdi+gVW/QrI+4fOuQGy4dcvJCm2NnV/D8lMeOePzVVxoIZQvXGJ8/aDSgwRjiKGXHhoS3vmzAuomUS3cYNsxCmviMohZJ4rPc8UliRZx6WRxkAZ0D3MZEMqv1cQ0AxwhIBIkWGDyWFhfZuGnH/3j6yYf60+t3ve/AgX3Rnj2X/eMA+Nmzp1hZXthz4uSpdz722EMy8G0vc6pNlpU0JNJk4IYkS8EnWuAlVifGqcFPrQYMPUMtNSSpINKGKBWMtGSUSiLtE2uY703wlcc1hpRP3G9HNmB0duRZvMwiE3lFokQqRRJ7SO3he5JWCLvmDE1f0wg1jRAaoaBZl7TqVg5NtiTTEzA7mTA3PWLzXJeUZX77r2vc/cR6ds/CdCNj74akVU9o1COajQH1eoNQSZTMNDhWDsSxz3AgGIxSuiNFb6jpDrRtmWsGnDo/yQuvGPGTbznPb/6Vx4mVECE0xsTo1BAnPlEsGY5sGWtr4NGsBTTqNRphg1oY06pHPPeSiMCPuf6ShLe9vI+nkiwJpG29vSvKM0mntUQISegrIGA48lhc9mzdTprHPNmRyDIGygrXcnDnwM4TS0kWtJbPM+2fWbn33f+Q7A3VOzcsD+4aRcMn/z6w+b8N8Lu+8gmmprz60aOH3nTsyCEx0QxsoJJqUm1IpT1shtImYKQyqBRUarVhkoKX2t7HJI/o0yyqzyN7LcrnWhBpSWIkqfaIdUia2V7urchSCvCEsJlKBbW6oeYZaiol9CH0oBYY6qGgHkgadUmj5lmANwVTLc3MRMLs1Ij1Mz02r1/kXZ/WfPC2DWybUqxraSaailZD0WxAo57SqsecXdQcPhtSC+wFDXmln2AYeezaqNm4bkhnGDAYmozFJStdj1a9RqsxxdtefoEjZ8/x7k9uwZMeBk2qUxJtiBOPUaQYRLYoql+TNIYe9dCnHqa0uzbGCPzUJsz8FE/aRgkpU6ewLatbyWo5LcgFbZ1VWWob16SpRGtJost4J0mFE+Dnj537RGSv5+C2SaY4tcBO8+85FYwiuO+BR8SOnZ03bd++8/AH/+Kjg+/97u94dgHueV4wP3/hZ5cWz/8seijrNbsTgf2DS+aW0pDqrJY7FaSZPEk0eNkfmubJB22y56Z4rXxcVspZL1cUgZKruYHCtZECPKnxJFlNC/hK4HvG+saeoBZKaoGkHirqNUWrLmk1DJPNlKlWwszEiHXTfbZvWOT+AyM+dPtmpmshG1qaiYaw4K5LmjVNs5bQaoy4fz88tq/BxXNlkJ2nzQcjxfWXGi7ZPuCBJ6foj2x7Xm/gZSD3adTq1GtTfOeLlnjswAXu27sRjELr1JbDJoYkNkU9yWDk0Rga6jVFLdCEgU8YpISexvNSfM9mh5XSWRGbLQ1GGASlniuDc1tCrHNHSuf2q2PF5sDWIiO2/DkFsPPDgjm7z440La3JODEMhn155sy5/1xvNIJWq/mrQPSsAbw/GMhoNPjFL37uL/79wvy5QEqF72XFS1KQCFHIk1Qae0KUQWVJhVQZPJ091raBVufLVpF9xLJzBnKdZeLyZIXJWtocuT0G8DKho2SWsVQ4RVs2+xcGilqoqIeCRl3QqhsmGimTzYSp1ojZyQGb55a5b/+AX/yTDZw4NcVF6zRTDZioK5p1RbMGzVpKvRYT+EPaQ1ss5isbf+S3VOdaNGCiHtNPNP2szro/TOn2Je26otENqYUtdm6M+eUfaPNf3i/56t4NGBTaaNJUk6QJUaIzb1kxCCX1kaIWSMLAEAaK0NP4vvX7PZXX+mSraiZThDDVBt0stW8yEjFZLUuaAT7V5b0lI5ndixLg2eM0k55JTmIZa6f5qp1qm0lNbQbu9OkzQavV/Ok3fts/94fD/n+q1Rp/53T+3xng/X4Ho6NfffyRu//tubOnar4nSXM7zgFXooUFu8qBbNDSgjvNwK3zx1qgtSnSyLrwaMFoY7vIsxJQ92AM4GXpbQZukdeUW0nkZa1ovicJAzsAqBbakQz10NCsaVqNlIlGzGQrYmZiwOa5Fe7b1+e/vG8d+0/MsGPGOiytuqTZkJa964ZGLaVRi4nTiD/7QgupFL40KFHahNrkS7jPP3/VMrc+FNGNQvoZwHsDRbenaIcetSAk9Ce4dFvCr/zgIr/wPsG9T25AG0mqbVo9Tmyh2SjSjGq23DUMBTVfEAY2sxl4psjYekpbmSjLsuQC4GXKE8hIBJtLsG5LFsjnAM6mDugiuUbG7hQrbr46lwA35X1qsr/DFK9LKTl2/ETti1+689+96pUvE+125+cmJ/9uSaC/M8DPnzmCMebGE0ceqQtGeJ5EalOAKpVZEZOGVILSglQK0iI9nIM7lx/2NV3USpTtVxbowtZR5KDOT/zY5yp7N7M6E0lZTJXVkVuAS3xf2vqNQFAL7cyTRpjSrFtwTzQjpiYGzE21uX9fn1987wxPHV/H1mnBbNORJjWPZs3Wr9RrCfUwwvdHnF6cxlcCJXVmy5VBZppKkkSxadqQJDGduJZ1ymgGw5TuUFLvK2qBT+DX8L1JLtua8Cv/cp7/+Mdw39PrSbW0AE8NcZJmTK4ZhZpaJBkGqpBgvg++lzlXStpcgCSTKSCy+zUwbuUKWVIIUSSHdJYcyrPFaeq8rkvJmTrA1rr8vgsc6JL8Um0wGqLeiLvuebC+Y8eOG/93dpz4OwH8iUc+jyFqPPXIrYFJV6iHeV0DyOyPkhmw0lSQyuxLVflzy9SpR/FHVoGdyxBTAN3kciR//AyfTYqyiMp+BlGAW0mZNUrk8gRqPoSBpl4z1EOrnxv1mIlGxFRzwLrpNg8dHPIL75nmieNzbJ5SzDU1k3VBqyZp1BSNuqBesxeHTfVH3LdX0BsG1BTZRWY1eN6EkGpBnHg0a4qbruxy/1MT9GMrUwajlP5A0Q0VYaAI/CDTz1Ncvk3z6z98gZ/5I7h373piLYkzBrQFUVkpayAJA23Z2y/r6D2VH2QypZRxMsvyrgXyPClkcoBngE8L54U1V16dxVLaIbE0Ndn7LtAh1bryb5y9sMyf/sUng7d+++saf/nRz/Tf+h3f8g8P8PNnTzA1s3Xq8Yc+9oc6Hb7IUwlS2MImJceuWGk1t3aWLcvY5VWulVibtR1A6wLYZVOwO07CLq22oEjIDNxZkZEqAA4qqxj0PQh8bCdQkBVYhSn1TF606iMmWwOmWx0ePTTiF94zzWPH1rNxymOuoZmsQ7MmaNYVjbqiUbB3Si1MaDWG3PFYwEq7xvR0mSbPAaMzbRqnivWzipc/p8cdD2rbRRNpB+SSmi+p+R6+F+B5daTUXL7N8PYfvsDP/JHh3v3ribVHnFUA2rJXy+RhLIvqwsCTeF5WhCUFysvPDcXnyy/CXKqIvCqNMiE0fmjnXmvnvlh5q+B2KztT53mqSwzkAI+TlG53+KIDB4/+8Q/+izf/2JGjx1Yu2rXzHxbgg+4ZosH8z6wsHP2u0WCBwPMzV8OQpqKQJNpdorTIdHb+ennF5/IjLWQIBXtXAslx5s6QnmfkCu0t8wq6UnfnFYOewtZneAbft43FtUBTC1LqtYRGLaZZG9FqDJmZbPPwgRE/+0frePTIBtZP+axvpEw2TAbujL1rknpo2b8WJjTCiESP6EYhQkn8nMELDS4y9sr84tinGQxtuUBUYzoH+TClH1gGDwNpa+K9fANaw1U7De/4sfP81B9o7t23gVh7jFJBlOqMxQW1WBP6hsC3vateFnd4ypYIKymz85N15ef3TmFWcWG6sc4YuAsScojJBXcRV5nysfta7oPn5JY6uDh7foGn9x/7rjvvfeRwFMX/8R+UwXvtEzQmtux44r53XU1ygkZdYExKqkWhscsI25RBiDZZR0le1GMcgIviRKXaPWHCYYoyK2ncNTNnbTeoFKU88rLxEkraJgBfWWAHnimqB2t+munmmHptxPREn8lml/v2Jvzcu9bxyJENzE16zNVTJmuGVgbues3aiTm462FKLUiYaEbsPWa4/eEmgZT4SmdBXOlR5Mt3nCoS7fGS58ZcfFGPwyfqzDUo+xxHKf1hxsKewvP8rBLTetdX7oBf/5EF/uMfae56ao5hXLfJsMTQyGq4Qx8Lci9fvXTR2ypVWqxwSgoH4MIBOav0SglyUwV4UaFYrrxrrcwlu7OawY0jdQykWvH0gTMEtz149X/9+R/Zsf/wqeOX7t769w/wQe8kfjC1c/HM3b8l9PwbfNlBhEFW3CSqANayDDwKe8mg01yOiFVLWu4Pm8LTHnNJVrklGXOPg1sYpMptwazmRWWs7RkCT+P7mtDXhEFCLUiohRGN2oiZyT7L3T53Pgm//ucbefzQOtZl4J6qG1p1QbMmCq/cOi/asndgAV4PR0RpynBQo6bsRSaFs/STa1aRBZqe1fLeiFFkGMTCAbgmCFIC38P3pZ0qIP0C4Ai4Zpfg139smf/+Fwn37pvlTHuCYVMylRpaiaGWTRwIfZN5/7mTYgr2zqVKDvDi82Yf2sV5oRCzLyVfVUtwVyWlreZ0wF4Bem79lqt5OsbiqRas9AacOLP8hk989t705bc8598dPHLm2CUXbf77Bfiwc5TYq9/QW37iTaPO09TCOnGSkkptPVC9mr21+5rJ9Ha29FhQi2xpyxM2VSniAjw/xa4qzL8EO+4hZ++yG78cDmTLYn1PZ2Mm0gLcYZCBe6bH/PKAt/9Zg09+dY6F3jRzk5K5WgbumtXdjSywrIeSRmgyBrfauxZGQMSXHw1YjgNmQyr12IjqCpWmtvlhIvR42XV97tsf0Y1DJouOdU0wsrXqgWcB7inbkC2kTdBg4LJtkt/81x0+c9+AX33vBk4tTDOY8pgKBK1E00ggjO3o5UDZgUZ+HmhKUQTB+b0bqLsXphBFr0jx/cCYhHSB7cRP2gG/m8cYB3nJ3Lm1KEiM4p6HD7Fx04Y3TU42/6zTHRz7e2Xw/qCHFzQu6V34wr9Jeg8QhpCkKUJAKmWhv7WWhU9aMHiWAcsBXWjtAtS5BDGlDTXO2q4swRkKRDlHJXcBVA5wZfCkBbbt7bT9nYGfEvgJtSAmDGJa9QGe1+eOx1L++LMTfPru9UR6gvUTgnU1K0usBZj75Co7RMbcLnvHeN6Ie56eoh95bGrkn2ecwfPVzZaS1nzFjZcPSLQF+CAWtms971wfaRscetlsmMzey4fbGQTrpgTf9dIerfAM7/3sgDufnuVcXKdfk0wkhqZnLMi9LA5RJotLTAby/ByKsnZc2tli+bke31GwkCr5iArGtbnbPVTWnueMnq4RnKZOTJY3YcSpQAuPT92xl+ddd+m/+Z43vOCRwaB3sF5v/u8DfOHCKT5+26dQ/uzmufDRF1/cOkPgTwMpQhgL8FSSKoFOs2SMw96lJCnZuyJHcq1NlkyoANuxHlz7SpgxaZJn5WzFoB3tprOa7wzcytZihH5MEMTU/IhGY0gQ9Pnz2zx+40/Xc3h+Bj+ssbElmAlTJkJDM4Rm1mFfD222s5YlhGz9SpqtBFaeLHRSelFAoBSBNEWAifOn5Bd2XrsRJT51f8jGqQEr/RaDWGTj1mys4PtpZvOpzO5UFuCVwNVWPr7hlh7XXzHPr39gyAc/P8dS0qQf+jR9yYRna3BCDwJF0Qzh5UmfYg6NKBJ1eQLIJZWqWHGBTmUF1qYqNUttPnYU8kQUYC8yoRpiDbHxOHlumROnH37x0cNLm88ttA8ePXqCXbu2/28yuEn51he/dufKwmPvWjz5NNrUiulPIjUZuDRKS7SsAtyYqkQxuqxvyIPH4iQgHEkixqRJDm5TskmWfZMuwKVBSTt6omTuNAN5QuBZSRIGI0J/wLHzCe/+TJOP3zXLkfPTTDR8ZmowHaa0QpOl3nNwywzcskgK1TLtHQb2wplojvjYPR4Hj9epZRO4inYxSpQXYxyM1eFx4nHZDvjW67v88edm6TU8JrLZI2GUxQ1K43kyG1uHA3Lf+a7sqrB9neTnvrfP1btO8UefnuHIuUmWkjp936OpBI0M6IE09sLJXKZi9cvPa24fYvV5mek0q33ynJjy0onCN19tKRZdRG4tkftaYUaUxXWpgbrv81efOcI1F1/3rhc87wWvXVhqf12p8jUBniYxUnksn/vqVt1/bLfSfbQOrCxQlsG11qisxLJkapk1+gpKl0QUgM7Bb1z2NqJggZIVcto2FR2YA9vel8VcSurMNcnZO8X3Etu54yWE4YjAG9FNI975kYD3fmYjpxen0KrOzKRiJjBMBppGxtyNIn0vszqVTJpk3nkB7sBmL0dxxMFTIb0oZDrMXJw86ZS7EnkW1jg1KbHHRNNj19YIFQ7pRi0GgaAeG0Y5wL00S9Qo62PLvAR4reBVMTfZ50ff0OdNLznHez/T4d0fnWVh0GTg1ah5ioYnqCtDmBjL5lmfrCfL8oY8y7mKyVlDrow7LFCNpXIZ4hCZy+I5Caa5/s6wkmSPUwNNX3L+XI/b7tq3G1Xf+i0vf+6x0SghDJ8Zxl8T4Do+hTCTc7Wa+Eh7dIffaupM82oMAlmAWKK1tm1iWqCNLsBdMLbOmdsBdvZHlIwtniFDaRw70BTArsgTmQ8LSi3AvRRPpQR+TC2ICPyI9jDinsclf37bBB+9a5Zh2iIIAmYDwVSgaQaGRmhoBCW4a6EkDCVhJk1sYihzJjKAB77NfB49a7jzoQZR7BM2zaoAszivhQa35y6KFb7v8fLru3zoiz32n2oyqNnRDCPfECTgxxo/0iglrW8tBVLIcrgP5flMtSTRkkbosWFqwE99Z5/Lt4/44G0tHtw7yfygyVAF+L5HzRPUJYT5gKXcXpXG5hMEDsirNSvjxVkuo+cENe6I5c9L1hYOm1PUGyXGYfHsv5NAJAI+8Lkn/Ze+5IaPnDrfec7iSm/+78zgn3l4m9zYeOiGi5p/PVkPV9Dat1ArUrY2iMyL5MvySlkF95gsKY4c2Nm/5zJ4pfAnmxiOMFkix15kebmn1d0GT6UW4Cot5IjnxbR7MXc/KfiTz01w28OTLLVbyHqNVl0x5RsmAk3DNzQCQz0gY23L3PVQUgsUtUBQC8gq9HQGbk3oW/2tvBEHTsHpds0mVjJ9W02clPUztg/SgjzRkijy2DAhuGTbgCdOJPRjn1E24zuIsOBT+WTdPFEDcqxOI794chsyTm19+FtfPuDVz1/mS490ef/nJ3hw7wSL3QZtGdALPAIlCKQglNgeTml3qVOivEiVyMp+12DwVfUr40zuEJrGZW97EaS6lCxJBuq8RzQpVogse90f8gcfvnXy1/7tC2+47vLdn+NrDA/6mgDfMnkkFDr9g5Xlp5pbpgdESVps2Wc/rETlj4tG3xLsqwEuig73CsCdE1LhhYo0MbgF+laW6Exza5RM7UD83M2QMfPdhDse8vjs3S0+eeckFzpNRK2G3/KZ8GDSt508dZ9MdkA9ENkhs5LTTHcHgjBn7xzgXkIQJNSCCGNivvxwyPGzddbNCHypMx0rykZfh+2MY6GmqWIw8tmxQfDy6/p8/KsRvdhnEAtqvu1XDbLJUuUqpQq/GiErMsUesmxU0NZvr4cj3vrSAa+8fpFP3NXlM3c3uOPxFhfaDQYiYBB4eL7CE3akhy8lvjCZ1DIohCMNq/bhGmReccFK5hZFAJqOMXYO6jR/j2xQUxGc2WhUxCNOHH+6CS/4g/OL85cDg781wC8sG4wefE/3/BemNk+fI5QSFaekqcp0dbk/pa4AXI7JkSrYK18C2N7JNWoCKwGlA2w7oNNKEpEB3PNSAi+mVosZjlL2n4ZjZxQf/sIkn3twggvLTfBreBM+DSVp+YaWp6n7hroPNd+Cu+bbmYS2zFQ6h8jeNxnIdQHywLftaYfPaJ44GoLvZ8u8cVL0ooICNwiz9dKCJLXjnK/aNeKKrT32nW4wqAkaiSCMDSNFZu3pjL1zNyW3IEutUvjsRdJNZdMHfIaRT70+4vtfM+L1N61w60M9/vKLDY6dqbHvdINoJSQJPYaeh1R2qq8CvOw+Z/JCulAG/6tuhZtSglpTglpDCeYM0LoAdN6CmD0mzTRNiolTDj094NNffIq5dV/bKnxGgPd6yyKKRz/5Bx/eP3XRhjo3XBLxvEtHeL5AegIdKeJYFcAu2NtIjMPgBlG8Zwop4oLbueQrjGAczWeTGlaS6GyXh5QwtJNUkzTl3CJ84Sseh0/Vuf3+OqeX6xw+04QwRDU8ap6i6RmanrYugm8H59d8O67Ngjg/ZHaoDOBkmjsDt58S+pa97YUVcXQe9h5r4MuqPVhIFMp68MJRyJ0UnfU1Jj5X7Bhwyfo+Tx5J6Cc+rVgw8iBI7ExA5QBcSoGQssLkMG6/iSKYzfso49Rn5AdM1CP++atG3HJ1h9PLHb78QMCRkyG3PtzgzGKNdOCjpUccKISUdqXIuvIlWcYTCtmyFsgrgSZuljp3W3KNqseODNTGQGS9QuEnSJXy/CtH3HhxxHVbvrLuxS/7mX/z/d2j76i3dq0Zvj0jwEX33SRDzV9+7hwrK3Ps2hxx1a4RL37ekCt2JWye0Vy8M0YZQRpJNLJwT4wD+FKKZMB2WDxn6+onM07EXrJ2IUVUih+mxKnhyEnBE0cUX7i/wZNHA54+WqczChlFIfgBasInVIKGgoanqTs+cOjldRp52aytCw8zWRIEiiCQ2QVgSu3tpzaz6FudXwtijI44vyQZmRDPkwTS4Dk22xiBFyBPTbXfMUp8BB5zMxFSDenFPn1PWKcjLgvGPKUrGUgpnCg2H3aEwGhZMrkzGMlPVTF+oj8K2DgdsX1DzHMvGjGIBvyLo22ePBbwhftqPHG0xpETNeJEQagwUoGQpNLJBhVJijW0SkWc51LDkRzF/dihLag9kbJ7Z8yWmYTLdkW85HkjrtoVs3OTptONm7//51/+rjj13/G3YvDfft+t/OXti2r+wp2i01e0R3UeOxzyxKE6t94fM+mnbN8ac9VlEa+6fsTLro3AaHwP6k2T6WwJWpDEFvBFYOoyuHvJGwtosvklvmdAaIQ0xJGhP7SMfuyU5C9uC+nHikefrnHoZMhCL2CUBuAFoHzUhCKQgrqChjLUFHacmcoKj5Rl7cAXNunhgtuXBJksCQMIAzLXxKbMfU8T+EmWEY2p1yIuLKd84d4W7W7I9KTAy7z4vOhLPBOzaScg1JLRSLFuVvHqm4bc+uCAE+0mA19ameKBnxj8OPesM49dptYuxJ11IovfoY1XKZlIU0mQKlJPkfh27EMc+9ZK9WOaQcwtVyXcePmIN754yIGTksf2+gwixQe/0ODoOR+EpD/wSCOVl29ivBzgY5aRm76tABwwGpEahDaYDNj1Zorva4TRvOy6Ea+6fsiVl8bs2Jow6cO6FmAUSRoQB4adM4+IG697ofrJ0x9Lpre86RtncM+bfedHvjhxzXKcQGiXDK0T5vs+86nm6JLm3idTPvKFhLmZBKMN1+2JeOsrhkWv3dyk5tqrIpo1+2ViRJEDW/2di2I4T7sveOxxj8WOpF6T3L/X51N31RjGimGsOHsuQAuP2Pho4YPnIUIPT0oCJahJQy0DdqgMoTK2BtzLPF+vZO4g78sswK2yHk1RsHfga4IgL9BKC/YOghilIr7yiOLjX22hAs/abRX9/cwMnnvhaZo7Horh0Of1Nw/45D0dPvjlSXpJjWamw/1ch8d5UsYU3UJCyAJg9ldJR+s7ANfZaAfPMrnvKRLPw0tSC3SVopQdpD9dS7j50oSbLo0xYsSbX9pnGNtxbn9zV8gDewPqoWCho3jsyYBOX2YqSfCMorzYecK2Bl57bcy6qdQ2PaSat75iyLWXxBgNc9OamSlQ2JVCp4rh0I6v0EYhEbz8OaNrwqnpdwI/+g0x+IWFDnOzrYlf+b1PXBolWinPz9qUUpCJHQ1rNFprRjrlfFtzfsUOjTlwosGnvmKvRJMaJqc1N1wT0arbOuA105PupZ65Dis9xYNPBHTaCulJOxPFeJaZhIedC+yB9JBS4kthwSwNodQE0gIhUBCockafBbkoGx482wiQNx674LYMn5XV+jmDp86REHoxxkScXgiIRjXCSUmQpb1VVpVXyWIKSvJyrNOiO10rothnuqXYti4iEEMGScggEdQ9OwQzryHJE1pKuuWtsvhd9nfkrpYus6daZ80npTRKkjTLG6hsLntCnKSo2OYSPJUiZcLWdTpbMTSXbx8SmQHS07Tbggef8FjpS1ShWKpBdeWbzoqxmjXNjdfETE5rTGJX9rqy587KXA+dSKIicWgD5jQ7kkSiQXlJ/9LZ7d87oZOVjvSmvg7A5xdYXl55x7FDR17KsMu0r+hpQSQ8tJFgfBsAyDHNhCExmna+BClNZ8Vw9itN509cC+Cufsu+HCHQ+ZYLZDWnQpVBjpSZlZWDOks7S7KNW3Pf2Ln3sk56Rbb1HgW4bVuXIsjAHXgUJaaWwTMW9zRBlh31/ZgwjDm5oPnArU3wAjtjUToJngr4qkSWs2s+JNSCzQ7WiWKft716wCfuGPD0+Ra91KeR2E1pbRWgKTtxVJ4TcIO9vHQxl0LSKfDKD13Uwniewk/tvBQ/A7qSZdLM1o1nj4XOBgeleMIgTMq6huZbXqhBpJnMBES+f8Ya33lRYyRAK9LYI5/HksSS2MiMVJ04zpQgtwC3JQ6DYUw3PvVSf/LUO4xOfvzrMvj9934JpWSwvHiOQBlirH0jEUR5AGNUVkGmS01Vns3ysTKkvgPuNfGds1sO8GrwIqQsWtCUAF/YtHIobLWgL+1zT5LVVGTd43khkYczB4VsZ7ayq74EuCxkSxiYoqUtCLQzOCfBz9g78GKkjDh+TjDfqSE8j1BSkSfS/bOcr9uVDhXgZU5HlPjMTozYsXHAvnMjBqnHMIUwFfipwU8yHZ5QOEtlCl1VOhXy2M46XXmdtXCkkcZLNamSKC/fvlxlxWp2Wxkly0NIjcpALvLfjZ2SJaQpXK8c6LkDthbA3aRhHpcVtjJVTz936GxWPBuwmhHC+dPz7D3x5WAtgK0C+PLy0yglOLPcoR0plIJAgFSGwE2jGoFGlTZQUTLpAvnryRKyrhynsF4IJGWK2E6lAl8YfJGBNpMA+ePitYzsy1JQigbbQAkL9gq4pb0PcqDnwWcG7rz7x9OFRPE9q0+DICYh5jP31Dk/X8efVARuDYfroDCmSN3UdVFeXCZ9hiM7wfZ1L+hxz+NDOkmNvudRTzRRlk5XsiyIygvOhNCUnUN5oCkKW9Jah9lMFQOpsr/T04JECbxUZrvY2VqeJAN6mUzTRYJNSu0k3rLH0gV3ZvMWe8U8w/fvFNpRmBD5a9XDLfXQ2v59zXpEODjF/qckUn4dgP+3P/kifqP5wk999m+uf+JUCsajkQ/NIdtyjzzdKhyDvjTz86vv601qKQRJniwQ9neILJHgQWG1qSxlbOeblBpX5cDOB3pm8sQFdjEHRWH7EdcCeB5w5rrby2WJyfR2tZY88GMCP+JcW/PwoTp4AV4mTzynQCnP9okxhNsvz6m6K2qgZeGJx7HPdRePmJ0a0F5u0E8UDQV+Yv8WldoBSip2AY4FefGL5Filpsj6JrPCOKVJtcDXglRJUqVJlSDJQO4Wr+XlEDIHuQPqvGRCoDOQk5U055noMmlXKcao1K84bO5cmKuAnq0AuVHhqZSLtnTZvHn6+q073vjCH3/bTXe3NpTj3ioAF0mEHppvWe40rk0ij8mGwM9PHCVTV4z6/EsqAhv7b2lWLxgi+1SumZRf5XlWrASHKRh8vITTy2sjshrwvNTTNhfnnSpWlqiie6UEdt58a9k709wehd7OLUHL2CW4/aI6MUYQ8+m7Qu55soUMPQIp7PztooLQnc/i1lGXX2qRBS5YXBYB1GDoc9OVA771li7v/nSLKA3ppZJaahglZCuXW/WnMzmnxy6oZ2Jy0J7MeiFFAe5USZTSltGlzEZLaKcU2a0BMiXIK9nmnMnzRdqRqWI1mbsj98oaFle2OAzvjsQWBhIfYxJarfDa/mD4LRh995oMfvDIKWammq9+34e/9L395QXWN+122aI4Rc4XA8XVBWQVgSb7sKt/1v1q3bkbObhzAEgHFJKy5sEdbZAzt92CJH9OxuAUbVgVFs+6YXxVBbcdpzDG3FnPZpC1t/le3nCQOEdMRMxffnmC1ISoInvpBphlX2PubFQ0OGPtelra6VBpHmx6CHze+rI+f/aZESs6ZpDWGKQCP6FgcSkNMhFF0Zm1C8fXT0lpTQoH5ILUy0Y3qAzknkFpK1fsmD1bwWizx7IoTS4tSre6syxjLppSCqCXUmU1wCs06NQnCef9tXsEUiEZRU06gy5TavC9G7Z/y+299qlbm5NbqwDvDxM8P754Ybm/e6XdoVkLMGuUGFSrxUy1aoyvfxPCYXJHnhRAHyvPLLT4mObMQe/O9lBKlFo8q7irDLvJgO0pUTophR1oO+5tY7LJmLsMMD2HvUM/4uFDkoNnahjlo6QkkBpvvE7DEeDjLkp+FJ1OWjh+tQV5nPjs3hxzxUU9vnqgTqwCBomgJsFPDV6SbSaQz15PMh2OtHKh8iuFw+LCkUZOg0E2E9JTupghqTLpV4I7rwUyWZlAzuQUq4dwwI3IJ2atzd5r3dzCuwqjOwAscikCW5abdiHt7Mb0LxaMbs3/rQLg588v0esNGPQHhX+86heb1R+iagB+rY9f/oRbbinGge6AWxU136XtVkoWYbvnRQluG2SKolvcK8AtKwB3h//YbnsKYBfZyoK5UwLPJnZsV1CMIeavvtxgcbGOCD3ru7sX4XgNSklOFYswb75167gLb1rbHcnWzUje8vIuDx+aYJTW6KuAemq1eF7OqiQZuPO1QmeeuBsNOdnk/Hdm8x7dqVT2kCidr0imeCyLbdUzDS7z/Y5yaSLL5ohxBh9rWikhurZ1vLqBogpw96EAjFbE0YjRYJE0KYsLC4C/872fREnJwtIKzbqyFvTYr68A3Kx+/+txeH7FlfJk7N4FtMvilfFiJWNLl8GVcFg8lysS5VUBHnjZACA/3zowy3B6Br9IxevscVo5PGU7d54+Dh+5rcVIBiipsuxl9UIcz2A+40qYs7jjpuiMwZPUI0w93vKqIX/yuT6PH6kTK5++lASpztwjgUyNc56MbS8T7pqqs99V3bfIZfJUg1dYiHa0tcpKAlRqymGdxVwWUVzQyZget9+nWyyHw+Q5yL/+el/ULRX/N/7cNexCFucP0Ouet2l/F+AnTp5m29bNjZ/6z7+/a2lpnppv/5DCzhq7qtaytFcFlOPPxfjj1dr7mSWKKIAzPg5ZOoydB5n51CbPyzd5zbS3GgN3nr7388ZkbWeGFC1ieU9nkh0xyo84eNqjGwWgvEyemLHy2PELt3pCqgONxrzwrBunTPx4NH3BpVuGPH4wItUhAx1QS23NtpdpcCWMs9lXER1RRlC6+GZKX9mmLbxisKl9LZ9O5mmyDiKD1OWEgHy6Vpp39xcGQBlcFoHn2Pedo2VVw0TFZVoNrKrTQmU1ApvMSo0haKzfdc3N/6qxvPSv+tMzmyzAT50+x8pK+1V7ds3+zOOPj2gEYlXDKBgH7OUX5a4yzxRQFq+J6nsCm89xgVACu+xjVA4rqspQzRzklDXSygF18ThL8igyL9yC2wK4HArku/LEZW+V9XUGEUtdzf/66xaLgxoi9K08kaayqpSDc76OaCtqjkSWM3MZXGbpaI+JhsdPfHuXLz08weIoIJIeAykJsh7KcuRDxuBuPb3QRRmtQWfgtqm7qrMiMgY3RZCeg11JkTG4lURp4aJQyJRSh5fthMJx4PJBRUWKxz03Y6vcMwO8GnC6DkuaCuK+prlu08+cPnnw7jgafKJg8Cef3EutFnDy5Ek8lSBkQJJN/HStv7Ukyte8jX3B1cGOY6xNmda2c/LGJUp1ME0BbCmQqhw/phxQe1LiZZLEKwCea25dBJW+pwtw+15ef1Flb1/FBEHEh7/s89ThOkgfKSVhXhrrWJvFHvHZH/mM1YQOgZTd5SXIEy2zTZ58rtrd5w23dPiTz9XQXshABoRSFEkfJQWxE9CNM7lwmXwsU1hIFQXK2FVBGztnMp/tqLJhquVYiXIWTTmZ1vZxClmVJ4WzUsFA+fwbua2SJXk/rynnrff6CadPn2YYBySJ3RjCA6jXfWq1gDDwshl12T8gSt97VYLymeIDF9iOW2JfzgvzzaqBMhXPuAgsRcnmBUN+PYDLEuDKqaH2sroUn0KK+Kp0S3xnOFCpuS17+56dWrXc1vzNV1ostEOoZe6JcIKxZ5AoCFFlcocwVtl27lSCNHdTPKYnFN/20j6fvGfIYi8kUh6DVGb2pMjcG1E2Y8vxxIpl7/wlXbB5Ps5B4OXOisoeZ0NUtbSjr/Pz7oJcZDvnFVIykyd2dXb1uBiTK6IKcGEQ5pnRbkQGOsexK+boOA3cCA9EUFxQXm/lMRqT0zvv/+oDP/nFr5wg1V45ETW/ynNQfx32LjDvuAeGsS/bAXr1EGtLlDxxUgF2dfa32+Fih7tTBXe+s0HO3Mph7lUMno+bKEdOeMpmLo8eExw4XkMTIqRXNOeW1YNu/CAcV6P84908QsnkwpEnonAyinaz1APjcdmOiN2bhizuq2PSwLJ4amWK57g4JXu6hV55nZAsLV2TsbkpfXItyzklbmyjspnvWpJp7/x7KcmoALcW2SyVXJOLMakixvBgiifjbmopW3IXpYpHd0hrvSZZWj6OmNjxk9t23fjoVx99+ph37LTHVJeNR097r957eJlG2LBLjXICzG8A3BWgj2mq8VkaOaDdVHblNaeXsXQmhBNsloC2DE42Ctj1wd0j29JaueB2QJ7tV+9npaE5e6vsuefFKBXzma+2OLhQh6CUJ75jXVYuWFaPi1jFSgV7ugFnntGsavEo8rhoXcTrburzwNMN0D5JarW4n2bZ3bQqlUrmdIOlDOTGOBLFkSsyeyyzVUXmh8h27jDFuOVU2aJS+72YgpjKhI/7OGNpp72taHtxwT0et8HquK/AZAluIez3XmeB7XP61Zumk41R3Rzzkmz3WaNt32Lg5zk3+6+YcWnyddHtADtD8zPag/lJoKq1S5kiijLQcWAXbK6E04TrgDubT1hu28FqYHvlgKBixJunM5AnVp6omHoj4qv7FZ/4SpPBMICGhydtGYMrTcY/v/s3rwnwAuSOTDFjCZ8M5HHiMdnyeONLhnzunj737w8wTZ9BGhIIigtNFb+/1MHOWlqA3N1yygaf2QWmLJun0upx7bB2HtTrLLiUWjj6WziBbjWGKnV3GRfY18QY0FdBaTXAnRdcFwWyZFVSQ5gQTypS4eGlOiFJYqRIqYcST62RSaLK3BWDfQ2SGrcEVwN8XKJUJ5qWwaUoQFPMy1PO7g1KZLUpJbhLkOdlswbPK0coe9kmTJ6qAt0v2NoeStkAMwgi4ijlc/c2ePpEA3wfIVUGqmxuiBNcCln9Usddo4IoctbMScTJZOq8NDTT4rldGEUel29PeM0Lejx2rM4oCUilz0ArgpSxz5J74YwxuL03Y58FlV9sGq1ENg4EjBQYBdKUerxYUSVI7cwy1OWqIccBPh6XMAb8v1Oms+qVGwOjkWQ0SonjiDhK8D7y0U+jlKLT6RIEnt3uzpRjb4t/9OtR9xqOCYjKF7tKc7MWqHPGdgPMcgeCUpo4VmHB2DnAy8mphUTJmNsytimY2ivuy8d+Flx6KiYMIp48Lrj1ngb9QQBNHynyykEce3CNLKbzd7qclNei5NF6dZD8WMLHKcCKYp9WK+I1N4/45B1DHjsSghcw1JIg0+JK2w12XWkgUgp5QDrm7eZS1NiVr5Au0rJ5vqrkQb42FuxSl4k2oV03JfvOdcns4zmOVQAfA33lbD2DA1W9L2dcCuFx9PCjnDt7EJ2meP3uMlIKkiimFuQJgCyiNd+Y5l6TuXPQFx9cVK7gNVlcOmB3NXcBcqu33WymUlmFYVZRaNu5sseeOx98DNzZ4edTaLMCf08l9vBifD8mMSmfvrvOnU/WoeaBtA3NvlPCWymNdQ/3yVpMZJwj+6LKpnLrqKRaVoA+Gvq8+Ko+r3thn6eO10gSHyMUA+HhpxSfSaQli5cfYW0md4fYK5Uzt2Vz+1wgtSh0eOH354yer7YZgxdDO8fAXQk4KyAvXZW1cPS1IDheRJamkvmFPnI5AmPwJls2YBoOIUkikhTQILK/+hvFt3D+b5yxy8f2iXQB7rR1uTsLVIBdkSpumt451Bi4lXN45SaoOaB9B9S5c2IdE3uvVEzgxzx6TPKRL7eAAKSPEKroIlLZRqpyjJ3yvyeHlSjOiSPoXLvLOEVXbgltalv37BRaVaTvjfF468sGfOHeIQ8etpMEYq3opyIr+MpAl+bAcepASmgAdvVAUQF6/q7KQK9ltp9PHhTn2ltmbC7sffEdamdgp3Qu/koCrJQk5fmqsvbXkyuuAZK3/40i6/oLKQGDN9WyWrYtYLldfsjc7vtaAF8r6i2ZWzhXaPYazpTVMd1dShWRJQtK6ykHeDEnzwV51ppWbjZld3YoB+CX4K6wtnOfN9bmUkWpBN9PiNOE2++v88ShOvg+SBtcBsI4k2PdwEqsCqzG5Un+xRjnQdEA4dSIVKoLU4lWmaOSeowinyt3D3nxDZbFB6ll8ZEIGGrwUlEGfmluF1pAlRLFfgC3pshd+pUEowzSCJTBZj+NQBiBESCNKKWKE1SW7J19r9q98J257mvkQexZGtPiX0eXFyB39nEaDDVxmiCEwTt1IUZKwXCUEMVZ7a8sxbvzz1TB7S4pzofNQV1k0/L3nD+ssK/GHJPqHjFj9SeCYu+dYvfivPm20vBQbl2i1Bi4naH4hXuiUpTnADyTKIEXc/Cs4P2fazGKfWj4mTyhaE1T7i7BrnNSiaqfgYpMFeiuTHE3B9BmLS3u0Qwl3/eaPp++s8n+0/biS7WinypbZZhmyR+E1d9pNpbDYe/ymzUVgEtTavHcLpbaYKT9jowUFuDaiZVyJtduLLXGyuYA2vXoXRL8RgA+7rjknz30YaKVopSda6h+73/91gZjvP+2d/+xy/LADcZ9XVkwa0UPC1HWhrjv5cGgKB+ritxw97DMxwFn99l44AK4Y0c+MsH1uIt7r9Td1kGpgtvdq6cspsp2f/DiopnB9yJSGfEnn2rwZ7dOQRiCqqGUR0MZ6spk4ygoGpx9pzWuzKS6iShJORmWSoBaxhKl7ZhftEKSNf6WvZBKGoTRbNsYcXpB8tATAYmwkwe0UAhhS2nXinuqgCmXaOE+N25ihWy8mitfnM2nqJYduJ1dax7uf1PRz5kPT/V+vKShklV3X6O8sOqBYdfF12+85PKXfNE7e+bMFHrw2mZo53sXsmIslepqysrrzstFKr44oYBzkktZ4koSV4NnS53L2pU6cFPR3rIAQylJlKO9VbHTg7MRlTJjkiSvFMzZO8b3Yg6ckXzoSw3s/BXL3kXnfv77BZXxwtL5u91AU7hPnC+oAg7t1oaUcwWN20Vusk5ylWnx1OM7X97n47c32HvKBxlhhGSY+nhk9SL5uU4zFKR54ieHqiOdjH1uMFkW2342mYFIGpDGypZcd0tjf4fRmT+uswC1sjpX2XxNaVK5EB3mXiPDWf68qagDjC26OjOfEEz2XjuITkx56yZ6jHojPAVRUsoPW8vgXPEVCVKiuypLnKROhTHcaHpMlrg6VlYfuwC3XSS5/nYe50DOq91yDe6A205k1dm9tQOV0qjc71YJSiaoTJ6kKuFTdzfZe7DU3lJI630XHTSs+QUKxp+v/oKqiYtqA3LFE3cmUnla2NoUWabwo9jj8otHvP6FPQ5/KCRKFQiPVHgMhMBLM/suJx9yR8X1JkwZAme0aIxAmbLgyEj7GZXLusKUKX4BWlrg61ymOD64C3YXyKvAXgH2WrgbB7h9s6hizOpv4sRwbn5Ae9DFa7UugFjh/NKQZr1hM5kV8K0dLFYiXfeLLK5I1w4a/wNXJwLWbm6osnb+PGftHOw5cxdAVy6Tl7pb5UFkvsWJ1HiyHJqvVIrvxxw5q/j9j00wlD75BK2yaz5bQdwaaJdFKkvbM98qy23mheeVcWXK3tXgolKfkmqPJPUJ04Qff1OPv769weEzHqgYtEcsfAZCoFIHAG6wOQby3Js3gOc2lCOQxqbnDSZj7dwT1xU2N9nv0VIgTLl6rDYTMuA7AC7AvgpX44pgNeMjMmltDH4Am9dHDFWPQerjffbudVy4AMNI0mqYUgtLt2nWCaDGgFzGUk4wmUsTWPVv5PXfazGgC2wxxtp5IqUKbl1KFFllcK/ib2dgrvjdziEti/teRCfSvPuTE5y+EILyMmtQZvLEVHzv4rGz3FZZqproWhPouBozbzxwezTzFH45prpohpCKNPHYMjfih9/Q5dffH9CObUBgjGSklbUN0/xzGEgFpcIuQV7+v31HZVdhNr+pvJel4yOlKRncON9dZhmagsGfIeB0wKpdjK3B2msBP/83s5SNXaO0oVaTPOeyOpOTDby5SQmR5OyEnYXtqTIIzJl8TQni/LbqBVAyWWUpIgPtGBjGmTsHdsna5ZTWgr2zgvsS0A6TezpjdF1IEytHtCNVcsZOintPxXhhzEc/HfKuv5pgpH0rT4Qq5EnRVDxmiVV0dyHJXFivDfHVhUPjwVuesrebfeXZzSKFr+1W4DUv4Uff3OPA8YD3fspqcVCkQjLUNuCUKQWDlwVY+ZdVpu5du9KCupQsxmRsLspCMUs6NjFoKokfK2OKuvQMD9oluQpmRBU/a7H2WoDPSSZfEWNB3PY4vxgyTGt4zZpi0PBoNex20Sqz69bKOJX8XQV58QHHlo6qFbS6NmF1YY4ZkyjGCTKzLbrdLQOV6zpoR6rkYHaYXJbVgYXuLu7trMGlZfjrLzVYHuXgtgD3pdXenqjKk8qqkxPC2Bcyjm9Xa+cgzx2BSlXf+NaLeqxOXEqUVmjtkaQek0HKm17R5+N3N1jsKpAxaEWM1ePj1YXVS+6ZmdzmgcqkUF6fkgebJmPxAtCZT64NY4xtv0+EsAxPJmXylW4s8VNgzmXzMfbOfybNFEEqIEltNrPbF6hA4Kls0lMtVHieN8bApYdUvZLG9bYDYPdDyNVgXxWQuW1PBWCcERHSVLR3aaWtDirz4TQluNNKgJkHmfk+N57D3n4j4dNfqXH/E3W0o71tU0MuT6r1JkVrlssuFT1evrc2iWfsWVhopUQZb4YwbtBpJMqUvniS+ng64carIr71+X0+8JkAVARCYoRgpD2UEHYLkjzQFCWox+VKbg0aY+3anNmVLGWUkU6hmLTlHRXmNvaCNw4GdE5iOVub/L3S0nwm5nbl8VoBKGl53pPYECUW7J4nM4AHdsyCWfUFrCKhNcG9lkwZB3ZxEUhTSpUxxhZijL1FFdili5I9VwYvGzEmZeaYSJPpakeS5I6JdCSKtO5J6MccPiF5/6dbnOsGdr9raQe9K0G5Y8NYvLBKd7u+8zOdOOdWSfQ4zL5qq8V8z6NK173dP8fe2+1PNjRTvv9be9z9RMjh8xJEDCg0kqGQziZSFlQ5qEXlKnRLpLP/L7KZ2ffgsrmwj3Mw57IlX4nte/nsd5Hp7exx3pspyseMsTkV63mNhKNzLvNbktgG7DQ1eDY5YTdf8jx3Vke1NmEVsNcA+rguygHtWjnjujtfuooTX9RXO8ytcsCPgbyYkT3+OC20d87iXj4OWCUomeJltmAQxIxSzR9+eII7H67b3jbpWe0tpe3aEeX8leKz5iuLezGvweTuF+FifXUGs3Qtyj3e3fJZt4zWtpvp3FFJNYn0UInHi58b8SNv7fCLfxgwSqTNQGlJkrkqUgvns2WhmQscY1vScD6ffS6c2CDrrjdgpMkCTFFcAEXQWVz0plKvIjL2dgPKVZ54gTNTxHNrEkaFHAxGG+IkJUk0SWrwGjVN0tBMNjUGQ5LYlql8pEDBMu6/L54B4GP39ufMquL3kgXdwT5rsLez/7xcS55IU3R7222ztSNRnLG/ue7OZlwXwaVM8IOELz/o8/E7G4wiH+peob0L9i4CWyrHWt5+JSAiDzjXpm+3sKmYqloBNxiVVxlWa8VTLZHaSpUc6EniUW8kvOnFA267c8AXHlTWNkSCkMTCY5Cvojk7UhZkgWXhopTXWWWsRZiDOvuc0u6+IET53GTSJAd6/v0aIdDF9oNZ4CkdPI3hZ7Ustu+NE65xzlmqDUlqGA4TeoOUxjDFWz87ou5FdBYSugOPISBSC/JiTvkaFVerXJNxkGesUDQBsDaLC1dvu96ydByLXP8W+6nb54X2LiahlsD21BjQVQluLwN34Mes9AyfvrvB/rM1K02ELYkVufYWOBOkzCpwFxdr8fcLB+hfQ584X5D1uUx15XSlyljiZ7xeXEqF1ClSe8Qjjz0bY771lh737w1oR1n6VVs9HmG3/hBYPS4Zb2krqcxgkzvFBSmt26KylraSzXOpkiV8RFZDXgBdFN+7xlnVTcnw40Afj1/E+MdzVz1jJ0CkqWEUaxbaKRdWUkSg8Zr1JUy8Qi2I6A1rWQlkHjU/czXh+FXmDtFcrU3t+/m206XFVk2WlAFmCewS3LkPXgaXshjMbiqMXQko80SO66JI2ymvSfnTz9R518daGOFZ37vC3pTaW67xuccCynJF+xpLqsPelUo+xkBdMPnqVrZyOw+NTiVaWl9cSU2c+kil+dE39jl0xuddH/eIkxLkGsFISJTOB0nkWsEBeQHqDIXYRaDAgjBlP2QOdGGBLPP/TORSpRwxkVuFJgO7ccBdroJO4JtLE2fs27jOK2pgtMmadAzDGDpxQi2O8D511xSDnqG3WGd2ShQNnIWJj7MuFEtbdTLRMwKbapavwuBuUOm8lnvcObOXM/Ey73vMMZE5uNWYPBnbs15le89YDR7jBzGHzkk+fnuTXs+HulrN3kXNt7O6iDLBU5FkY4/z4OjrcbgpNYAjB3ItXs4t0Tqv93CALnOgS7S0WlxKjzhOaTUT3viSPp+7q86hs1lSwQ6oJhWCgV1r7GfUGbhNCXZTgDpzS8iSP8WCkzspeeresrfKwFrKkyrQc0knRYmjanLMIYns5ysFYWLt82eyfyvwJVfuDHnl8wI2b/LwNq+bYFlFtOclSV5HXFkWMi3lsrfLVuPgfoYPLXPNJcYZ0FTkiShm35XuSQHunLmFO5g9d050ZbsN6cgSKTPHJGNyz0sYxZrb7mvypUfqdji49C3Ax9g7L/JSQlAJhnGDqDEmHwswv97NMAZ059A6yx4Wu0fbrUis7talTNGSVEhUKtFCEY88XnFtxCtuHHDysz4jbXV4VglFgsdQgNTOtlVCFAZ2nvpRBbRyRyWrFRcUwDdClGRv7HdqRBZ4VoBeZlR1IVvLWTk2+HSyrq5kyYC2ajeU4v/sLU9U9kcN2r1JvE2bt614Mvpcfzn4Z5DaOnBXmowx9ThrsxawKYG8JnsXYMZZvnLQO4xdADsHelk2WnVOqvpbFen31HmcIKXt1JFBwh0PBvzG+yZJjVc6J1IhhLT7AIkyLV9lcNfxWZu9v4EkpvPtuA5KNWXvyhVNPvUqK8YSpaNSaHJpvXGhPZJEEwQpP/sDHfaf8rjjAYkORAZZ+wfEWjHAFVTGkSVraPLCC89W2/zzZgFlrsNFdgFoylESxsUDJZCNcHEjCjmSM32JO1Nh8AqbO1IlTTXaeHh+83Pbtm1bUa9/+WzPJGcP10L9Izq1jGBwQOnWjFSq/cyYh+1U/uXBmFpdMOUWSZWp99wOLFPxarw60Akoi4KqZwC3K1W8SkLH9lqeWhL8xvsnufuRpq2Ql7YdDenjSUFdQijJNrkyq2u3K0fWAF0MyakOI8pr3qUaa5h2zlv5XDgXvVl9XnMycOYAinGp575nYN1sQugZ7n88YGXgfJlZmJlPES8rDim0r1h1dX4jy9LYJIaKW+TkWUz5s65Vat8T5Y8Yl6XLEoJy6asCfTDSaCE4cuLM99/11cf2e3c81ifRMN2QbJ3xSfU4O5d6u5KGHmPu/DWXqd0UrYBiZl0hTYTrorjbYlSliVxDc+c7DKx5KDewzEphs8dpkPL+T07yia80MTUFQll0Cg8hZaXfsuxv/Bod8y77VFJrVVyMxUZjJbNVQNjH1W778Q4fnc0PNBlzG6PLGhUhkdrOBZGDlDe9dMDTR3ze8R6PKEwcbSkw2mdEVpqR59dTa2IbjANKKxkMWXZTmwKLRbCZMzKWza09WC4I+fdvRO42OSt8agEmTebLG+dj5o+LzCdFrOiWI0tp92G66uKIrRuHjCLwer2mBXVi93Jv1GyXCjlLV8DsLBfjEsVZflaD3IxJFNc5MYyP4K2APfe7RQZwR3tXGFymjpPigjtFOrUnX3gg5H2fbTJMsyn4IrcGs6ylMBXtvWZq3gW6e37GA88K2NdmP5MFd7n3vCqjiVlVQmukk9mUjrMilHUTZFacJTWp9gh9zQ+8rse9jwV84RFrF+beOFKgjcdI2xqkoohk3DrMkFpIKSFQ5NLEAXne9OBo7vxncqDaojtTIQmDfd+4MiZ7sAp3mb1oMr0vEZCtptMtxUSjQehLJODt3BQCAq0TICqurHIcrgNg58tjHMRUf64C8jw1v5ZzkgPctQddcItyZy+1Sofrqgc+zt4yLQNML6Y/gl/940mOnA4xXrlbckV75xKpAuwxQLMGmAsIiyqev4Ygd23CgtkdPV4WX7l6fHVtipZZxaF0WVwhUo0QHjLSXLQl5j/9YJt7fzqkO8z+mGwrPhCkeAwzGVAUd+sS5EYCOgO1oXBYVBZQGkmxbaoRuQ43TpLHyRnkP1PBkCgvAFhFmoVsKtRC/p79fDJ3/AScmfdYbPtoY/C2b5lFKsWg36XTns+ajsvkSwXYawWUX+O52wzgzowuJYozendNiaIdH9zpS8zYvGDuimvi7M6bed6eF5Ok8HsfbfHIvpr1vGXO3KVz4ouqLFGiytrCBfvYOckiJ9yhm2vx9SomH3NOygYIymKmbFbNqmpDYRm8CDq1tCBPJVpkR5pJFa257rKYn/iONr/14SmiVOSis4gKUxQjnWvxLNfugLyQKMLJcgq7Qa9x2VyC0CVz50oABKIC7jVkbe6iOKl8K42r7+eMLwr9AqkwDEYJ0zKkVp8gSVO8F7/s1dRqDY4deZoH7vkcvudXW4Ce4Ypyn+M8z5l6XJasdlCqgC4Bb8ZkSnV/xpK901KXu0mdypEFlrWUL94X8t6PtmgPfOsBZp43WZOudU7KrKVbyqsqn3u1/i6zbtUpVuX+aqsFt6k+reK9AnSDmwAqWTubCptLEjcJJKyNmEqFNNrWqySKiZrmh97c56GnQm77qoJGkjF19gmlINHSZrNzUGcgN9jSWArb0nreWaxqy3pzCZPFca58yRndMnjVWnVT+i5ZYkqJkwNeZsEzws0z5LvVQRJHPOc513HttVfT7XbxGjVJWPdo1qFZTzF4jq6u/kKZsxRrv18ZF7YGsEtWN46mHZMljiQpZUq5w64FeFr1u6W1AmWxr7oNLKVMkF7CvmMev/+RCQ4tBjbAyPxuey9L9nYanisgX0ueVKTJWO38M0vuUtaO1aKULF4mVopGCNZK448NCcoLsYwuNpUVuVQRBiE9ZGzYPZPw42/pcuycx8HTAuO5AkuA9EkzkDMG8jziU4X0yvxuyFhcFIFmno4vWHxMulgoVefI5PmWiiwuCrRE4WIWuDP5f1d6572hJkoFQnoY4eHlzQRCGIzRTld7WUZZAXK2XFQ0qXSZfbUUceVKuROA639XNzFSmQwpmdzR3Upnz8eTOSXQlUqRMiEIE861Bb/6ngk+/uUGxldlOj6TJmuxt3IuwNXOSTUOGU/quIxe6vAq4CusPQb2/LXVNSmuDs8B7QageeePzIqa8sdZ8JlqEjS+tK5KeyT5md9UnF8RELp0KzB4BZOX8iS70PL7jLWVBKMz+VK4KSILMqtMLqR1S4zT4GJwZEl+5Nl05zyOS5hCNTiYU3L8hAvkYKSIdXiu3fNuNWoOIfKuc8d7Hq8NcSv71Ph7TqWf42Pnrod03suBm/+eikOiSmuwqDvJKwbHPG+ZB5MqyR7bWpMIzafuqfPFBxpZrUluCcqMwXP2LncNducNum7JqrJY9wtw3htn7gL8axX1uLUoLqDJmVuUgZvTRpY7KK4eT3We+HFS+0aijcpes4+TxEMYyaueP+T1L+gTiASSBHR+xGASjDEkBoYaRloQaYi1IDGQFEP6Icn22Ey0dRfLrQiz3SqyoDjNsrLFvYY0zcdjmOwY37uTcrv44j1jd2d2fiZJ7RHFKTu3zTEz6d06PVk7N9nwUL/5W7/Dd77pBSu1QKyE3uh7osF5fF+tDqxkGXSqsQRONSlhinEORbmrWxXoXiBq7GKoXByuFWhKcI8xt9sR72Xg9ryEVGo+eWed//pHkxw9F2ZNDGVCB+khpCCUUJN2kL2XjYHLZ4uXyZxyNJy1D8vB/MWUWwFSSoptVUR1SL8dxSHHEmKUK6Z7jJ/3ivQb8+WlHftQWLqrSpNNZVURAtCGmYmUyy9OOHlBcfCEZxM+wmHA7D/KHZDSbx7/mfErefwiz/6d1YtW1f8X7kom1iQA3J93Vjpt7IU2GCbs2L6TRmPy/338qUP3vfIVt9g9ekbJCqM0JKwts2Fdj95AMYqks/Ecxckb19yVRE5Rb+LIE0rdXfW9XQ1ebixaSpNMpqjSNZGOFMnBLZ2AMrcEfT/l6ILkvR9rsv9wCC1VSBKb2LHaO5cmRZ8l4x49a3fMO8Fm8ZWLakBZ9cDz56WLslayx7K2Hkv4lC6KLDJ+1fS9FKC13XU498ZFzuxZPYEQ2k69MtYbj0eGy3bH/MCbujzwRMCxeWepKoJOK0MSBENhg0uyEW5Gu3UopS4valSqqsf61jIrinIkSCFjdHkBjnvhhUbHyhcp3DNpz1GUwNllzcpgiJBdNM4mVAN5BcpvsLQ4Ilk+Sj10gD2mc6q22dp6WziAdx0TV4+7e5vLiubWpRYX2nlPUxZOObKkeC1jb5Wy1BX8zp9NcPsjtbJKMM9YZuBWkmyHYncMcnlilQPmtWzBtYA/boF/o7fx1HOlLsUBuXUoLKB0NhvQCAf8TqZTCoMWBqHtedZC2edC2ctIaNK+5qXXjvjXb+vwK388xfIgB3aGIC0ykHskUhQOSg5ytAUyOeAzsrCfkaIh2WTnEMqAUBqnmGqNALNYhUw1IVS1CMvzrjVs2SB5zcs28tIX7qHbHebXKHi1rVx1wzW3nTwV/8a5pQ2sdBWpzpekNaSI63C4mnrscBMybrpdjVl+ha5Wrlsy1pWzqjowf5xUEjpDafjDjzV5z0dbdGPfFlLlzJ25JnZ2X+mcVIqqnIt6PHtZYeo1wVydc/2NIH28u74Acv6eqS7l1YTP2P46+WvOwCBtZNHelg/w1Kbcg7PlwY+8ucuPvqlLXSegUzD5fWx1uUkw2mryUabJ4+xIjCDW2FnmJtPihR4X9t5U9bl2NHpFY5sx/e2+Zqo63V3lpIBWHfZsnWTUGfzG5OT1t23ZshHIqiHf90e/yY51kzEmuQSdfhsmsrsEF2ClKFd155O495Uiq7x+xBkoudaF4epwl8VVxfsuLwArY/JETpmSl1l/pfA1TxwK+LX3TXLiQlim4nPdrbJeSyGo5Qwuc91dau/cLiz7MN2iqLFiqaJ4amyGuchny2TaW7rDScf0tqzucFE+zjcFcLR38d+M2bJQyRRXE3TZ6omoXLAyu2pqgWb9dMrdT/qcn5eWlcftoOy5FmX/TznCr7ySzaqrepwCxu8dyea6Sa7+XvNfFAW4PQW1AGanWxjt/dldd915zy23/DPA2av+Na95DX5QY+8T93LyyIOAKk546Xq4GttUpEslTS/1GtLFICsSRTv6O89kaip6XFYDSymcLOVYKt7zUx4/4vMTvz7NEwdDjC9LWVIwuHRsQVMM8hnfqWEta3AtmVJJ7DiBWAmMb1CumOrDqi8+bhdaNrP1HpappSklixb2QtJG2mXcGLSR2c/YCVlCW288xYAwiMhwzcUx7/yZFX7k1wRPHMqCE5l/GFFSZiZXDJZJA8c+1NJkgLKSJV8VjbBJoHxjcUPpi+epfDeWKwupWDUlK38sMzGeFxvEScrOXbt55ctfxGAwBH66CvDp6WnCsE6jEVams45LELEK2GZNMLtBZPm+W1iVP3b0t3BYW7gATxG5961KYMssoeP5mq6R/MHHmjy6NyRVuRxx0vHSTgUpbMEKqN2KxpKwxucOrhoLUQF7SWaVAPNrINyMAdtFuHH7NCuvOxbieM24sXO7tc5WDmEn0+pcj2PQQmZGgbR6XBtSNJ4wXHf5iP/njT1+9rd8uokAH4oiEreZUitSIYjyNjYtLGKze2PpsahCzGOHPFFYJH8YCxwLnW1WdeCPAzwPZoWwskiiCYKQ6ekZ/KBfnNcC4FJ6SBUcatTrh6enars9OcDz7Pw/4Xz51UByPItpA4cS2GPgdmpOKuydB5FC2/eLepPUAXxayBIpUpRIUCLF81P6Gt778SYf+WKTUQ7mMeZGWIuuKKh6BvauBDjjjO2s2NVkjijAvRrZX5vD13ZSHGA4OlznzDfG6Fa3ZyDXAiFkwerCCERWoyKMtEGbMfaxzoJOY2eIBMLwllf02Xvc470fa9GLsScsp978PoNwqiXF5slZqt7WyFgnJGdvJVxXxRbzle6K44o4WUtTIdFqUJn/tzb+MCSJYWaqSa3eOFyrB4fiJC7Oac7wrN+wmfmTd966Ya72wU0bp6gFI8IgdfaONGNBn9uI4AaOJQMrscYqMJahXJ2NLEtexzV4Du7CQfESuhG85xNNfu09E1xY9IvabrfWxB7CYW+zKlu5amaLW/7LGNjd52OsXXlPfG1w56h2C62K1ypPRcbo1QCzkrLPEz8472tRcVbcbnydBZvlrEOPJFVsnNX8/A+2+Zdv7NIKE5uNMakTfNpEECYFo9EaIm0TQpG2AWeibTIoT/4kxgajebCpjRNgOgGlG3AWQWpxlD+XpBBnxyiB7iCl0VqH8psf/Njf3HXr1i1bVjM4gOf7SFX/zEQzeYNIzbVJklTYqeyTqwYwFFfbM0sT974otHI0t8vcOfDluC0onPJXlSJrhk98psHb3z3BuSUfArUGe1czlnbz1uoA+4rnnQN6nLkdn7sSfzk8LcZf/Fve3IxmCX5RvLB26t6myu1UKWG30RYlsIUpPXEhctYmu8/limVxtEccGTZNp/z8D3VY7Eg++OkW1LKlYxWT25tGEmO97EA4RVdZJrZk8LKvNZckuT0o8+lY4ytnocfXGO1G5q4QMIjVo61G/TMdM6ycU+k+2bHn1XTPf/xuX3UeDAOKbT7KTvXVmcWq61Gm2uWYC1JlYjdwHAO3tFJk3Od2wS1ligo1h055fODTTc7OByW4xdghJSLT3H4GaC9LTIx36riN0AWY80u88iRj5zH9/Q2qkgLMX/N9x/vWrixxL4TiPmdr1wuvjnuzaXs3nV9l8VQrq9e1Iokkm9alvO1b+uzeFkGUsbjJ0vkmLezDnMmNgcRAZJyUfnG4dqHIisFENbVvHKaupPxZ9VriHHECBsVCJ3rwd97/xbu/5y2vrpxHb9WJ9S+xX17/aZRcLgNoN5Bai8nziNx1TXJmL7S2dpyUPKHjBJTCBb0jU4SbsUxRgebwGY///M4pvvxQzTZQVrxu1/u2nnc+BsKTq7X2WsN8Kj9TGVw0JlNyZsnopXJhjP+8WNslKc5qztSrAOz445nuzH3v3B0RWYC5VlGWwEoCoWWWJJIIDUJohJZ5yEoqlN1CEoMeGl7+vCG//BNtfuGdkxw5G1iGgCIBZId6lzRpsFlPjZUX+YrpsrcqXBCyOnZTbJfiFlMVSZ781GZsXjiWeVyiDesnatxwzXa01nx+DM+rAL5192sQQkWnDizRX1605Y2mSkmuLCmWDJF3PbtZTNd5GQswM1CvAngF3KkjVzLXxNccu+DxX/5gko/c1iAS2W5Uwu2vLMEtsexd1nmvsf22MKskCWuAswCw8zOuHfg1idt9c4y+c8ALVmtxe++UzObPnTpxctBXMptlI4TUFsJaWJCLIhOaA76MYnPJkmhDzUt46yv7pBp+4fcmOX4hc1YYA3chWRQGy8x5IEjW26kpnZW8K8gC3ak8LEA+JksMJbby85Rd9FrDzu2b+P7vfFUUxym/9vNfB+D15jo8f+KnZ+Z2XCGSgy8dDYdoU7ibGZPn96sBn3+QampeZyfO9b2rwBaFHk8r1mAlDe+lHJ/3+dnfneSjX2gQyWzrNbHW4WYsneH1GfmsKU0owe6WajIGfrfRdZV8+UYCyzVudQovXgAAK6NJREFU47h268JXp+2zb8OYQsII11HJ2L3Q3xUd7oJcZnXe9nvTGbjzhuIksTL1u18zwFPwc787xfELAdkc5upFaH9hYcdqBDE2YPSlwM9r3LO/zX4P2aCgbBRcuYdQCfIC3DhxUPZClGjqjRZ79lz0lT27t/300nJ31XmV4y/4wSTR4p91pieT/Y16ktp/vWz6XeWWyGrCxk3N5z+Xv69k1d+uaHOnvkQW4NYFuKVKObOk+Pnfm+Sjt60B7lW2oD2Jvqx26azF3jmY3SwijEuRKqDHA8z8266A/m+B7vEAc9wXL1+0EsDV20VVHdUh+mbMSanMOcy1uS63RslT+kYrq8+1IkkkXgpveeWA//oTbTbNxpmj4qb019DoRtsqP2NdlihL7Ufavpbr8UqZrcnLfqv6PP/5XHenznlKhEiFL/f/t3d/qjM7M/H1AW6/WEO/P/yJ0/M7Hu/16/aKy9Lj+R43qwPLahdOVVO75a8pFbfEkSWuBi8DygSlNKkvePcnW3zk8w0i5QLaG7sf87zHMpbjuruqq0uArjUewvW/19LX5YB28bfFdzWbuSqpU/W9y/dKm7CYFegwuNv1UzZJWFAbZ88fW7MiCpCnRhX149oodCrxUsNbX9Pnh97Qw0vT0j5cBfK0AHgefKZZ8DkyEBsbgMYmB6tjIeoSyPnriREked2LLmtdhIDphuC5F0083u/1fsKM677s5q31YjD7fdx/10dSWZs0aXQeJUfF7mRlGiLzZV0Wy7T2eLInlyil7nYymDm4pUaJPGPpZCqVBk9w6901PnRrg5FUGdW6gHbYm9I1KffVcQCNC3RT1GRUN74dA7nzN7pa2wV0/gOrymS/EXA7P1iRKQ6rr3JNcuY3ZtUFoLXN8FlpkpfUOqyeAb+UL1lvJ/Yit7JaZRe8ysqmDaHQfNer+zyw1+Pz9zQyjZ19YG2egS7JdHmWAMq78Y1NBpninygn3uYnQIydB3uqBZ6x+PJ9xS3X7za+J9If/pdv+MYBDnDlNTej08GHzhx44FITrzQD31bt5UkHraXT/e1O6zelBmcNB8VJ8Kxm7jywzHS3pxEe/M2dNX76d6d4+kiYNQyvAWw3sBR5tnI8sKwmcqrjIMYKlwrMVrfCG9ctldT9GKi/LrjH0pir5YkoXixT82vUp+Qd7JUGZVO5rwIaKNwTu6uwQGZBnLTBpjBorSzIMkfDpHD17pj/+e/a/JSCT9/ZsHpcZZ9ak4lnnd0b3O4pg00E6Yx47Fm3OjwHeo6l8hwJUjJLMHvHF4bUwPapud7NN9/0oVaz9oznWD7TG83JbWaw8tDvTK27fGG61WfjbJu5mS6t+jBrNNDVIqqMlZ85oeOCuAS1ysCsRELpfVsvXHjwiTvq/Oz/muTpoxm4V3ndLpPb0We+sFdusTNDrr8ZB/XXkBtruSqsPtybGHvwNb1u8zVeN2NPM53tPh/X65WUPazS3oUv7upxV3tn0qWQK642z8tstUL//9r78ig5ijvNLyIys+7qW1er1RJIagkJIcDct7lsLwYexsfu2HjX4xPbA/aM1+cYzOyzwbO+x2bMPNtjWM+M12CDOcYYPDaHOSSDASNL6EBSS6IR6m51d3VXV1VmRuwfEZEZkZXdagkhAbPxXndVZUZmVWV+8avvdzcolvf6uOFjY7jojKpEnsnJI9u4+VxTFhHZy31FWwJFWSJbd+SlVZQKgM+BKieo1DgqYz6GR0PsrQicsLpv6P5H1n97yRHdU17qKSU4ALR1rkJ1ci9+/8x9GK9WkHEFlnZzdLYQVCeNtZESmhkpn7DNgXFwVQx2QkJFU0IwFXMCB/jlwzl87rtlrHt+KnDTWEIoSetG1KS5eI/OwkmmgE0LdhOzCRNiSvCgcU1mzsOTDQYiaW3sj+NSpFSPPIWWNI9t4rITcVKa6yhDbns5VTETot6ECCoNKSpZQnIUo7JgA1i5yMeXPzoGIYC7LUm+ryEvXKiirQQAB/LzOgbf1ZdXAAhBUPcFejoqOLpnFC7lcLxZOPUNi9FSbp323aYFuFOYW+/fXvnwvzx03M9+98hzhfZSA595zx5cdJLA2ASLJIs0E4pmcBscm6nHeHsM7sjOrYAOh+CeR7L47HfK+PNWLx3cSEhvmow10QkMRokK2NK7iZJYCmMCzEmwwzZZ6RVgv9w3xLUTrYmeIAZuTEa16dCkHyZHjy0qsZQXES0xs4Ess6G2rigWHH0HKpMMJHthsuuH3tsQOHqRjxs+PgYugH9/JAfT6TPFt1UTGECkM0gX0Ify5DiIwa11pgwlGA84Tlg8js//RRXFLAHNd07UvPDDddpTP2CA/+m5Km9t71v7F2/Njj379AuFUsZHbRIYHAlQbzDomiVENMeJp4Fb0xKipbrhxGEkBGEcghH86rEsPvWtMtZv9YBMIp/SyquMwU0NcJvmwOY472QCb6xsJiMGo3onEdiJJeU1lCPAT8VbEtsSLMTYQSJxnQyltZVOA9zmYuDGKVQeJ0ES6Dp+RdU4VFxcuhalFOfKC0M0+hQnp5B2bf2pSCPAioU+/v6vxiAEwX2PZhFiOpCb31z++nJOEERlqEmk5BLj/mUph1cUyNIW7B1pAW1hWNL3trF8y6K1vDHAMc2Ydr0ddWQXeuaUB4uef/l7L1nlr1jAEDZmYefuVtQbLsIw6roo72XEyfmU4DajASPOrSS3YAT/8YcMPvn1MtZvV/ElJg2xlEsS7SOInTkx7xYWqJNhsJFjB82S3AZ587YIu4l55vb9HSLxF203NjY5OGHYvLXDPbKSmPsM86HuFGHaypvqrRhmRG4/CsHUc83JgaN6fXzjE6M4+4QaGFe1IJrMhumcHJBpaDpuhRuWOQppLMg7Ar0dgMuLeOLPJVTEaf7wKL0ctG0wpN3TXtdpAe64LrZt244li3t3nXby8uePWdaCYj6EH1IEIYtc+HEkYezESQe3GR6rqk9pye0Q3Lcmg4//fQs2bvcQ5Y01cW7HoChy6VvUBMnsHNN7mSa9p6IszWXXUgFtAj+5AuIp+wR3mvs+8lgiybdJxMeTpkSuzYgRoGPlMwI9YieRPEYrlNoZRBOKqQZ0AuScgYcMokGwdIGPf/ibUZx7Yg0sDKXWKBTQeRLcCXs5BEIuFc8w+g4KoEQm37hMYLTiY/dIHrmWvufbuxbu2j2wE15meuI/LcABgDGGkd2Pbe8o+x844bhFaCnU4Dq2FcVKaIjc8FNJbq1UKuntcQgH+M3aDK7+Wgs27vAgkpwbGugmLbHBzUh6Pe99pp1ZAWM2RlOVzYQkt8ErrHly/9TwFk1P1EtDjJsUJH4HEQOfJ2gKDKltLIxk4c4Y5NSS5qYVRUTeTQ12E+Q0luSCQtQJlvb4+OYnR3HOiTXQkMuAbQ1uHsaAb3IIKUkuAB9AAAV0xLHufkgwNOajffYRGNhT+8DP7nh4O6H7hO/0HBwAFizogd+YgOPmB3a47KHx4T+f4TnD8FxZosF0vRPDM0mbwK33KXATDpYR6B9kePRpD9d+v4yN2z0Ibyobt0FVlFeGAnHZNaApOyeNplhJDJb1J91UGKHY8GZGRTVNumIsDiLibeb+6UaEaRGfSBh8PDKJJzi4VFCJMUckuDhiJRPaVq5c+FRzd61gkii4jqtoKcIJBKWKe3MQShWfV+BSDJgSgPgcy3p9fPuTo7jmJo7Hn8qgf9ABPMRz6VQSl0FAJkr4kAnvPlcRiCFAaxzz57Tg2FXLHnrz+acOVMYnUS7l9wnwfS8BAK5XwAvb12x2vfK35/cuQXt5DKV8Ha4bRDZxO54kBdyUg9BQWk0UuDe+4OK6G8v4q6+24rn+6cCto3sUyBXAGIHthlegNWucmMFVGpQzsZ40SfvUOBNiWVmaxHpyexqwk84eA/DmI5LbrZiThNcTAExurXv7wPB2iiQP1xI7zvoRBv8Whr3cyggyObmS5H0LfHznU6P42yvHsKTbB+qG9E516+s/KcV1aYoGB6oBweAkRf9ejpVHr0B7a+nbv/7tms0zATcwAwmuR9fsbjC3bW0199LtmzZsuDRX34CWYg5hSIwUM+XOT8Z2JyV3VmDzCw6uu7GE2+7PoxZSabye0jtpBlRJUCVd8RY1QQLYiVIJadvs8NcYqNHmFB+8oV7vW0Tvx2gCdZNnEnGTXgPY2u0oA69kaGks2fV2GJGH0mIiuyXEHk+KOIlZJx0Tg8JE2cJmZo9RBo0GIWa3BXj3W6rIeAJf+m4ZW14AkDHmRhnH+i929XNQ1Lm8KSIEipkJXHjGfKxcufT2vqVHrn1paGzG13LGAPdy8zE+uml7seO0q57Y9CRb3LnnrcVcDUR7IlmoKlGFBsDDCOCEqP2ewJZdLq79RwVuMJmwADIDcEverc2AWno3NWtN8mrzUb+VeW0TQLZiUJISPoWrI3GeGaNdpE2VHNuSygaYk49yv6GAagePSUEMW7tuiUIE7EUDYjiJdLVaLjOiNCWRL2NTof7sJshVfLiocWQcgcvPnQQEcO2NZTw/gEQ8uSZmXELRCLnlkL8WHjhW9uZw2VmlO08/6+Srdg/39y87cuGMAT4jiqJHsWUJ/vzsU/2nnfjGZwvFozBepbKTmSMLzTNHhrWaMSU0iggMQTMc215ycM2NJdx6nwK3kzQD7hvcusU2i1LPYr5t5lhGOaFJcKqoeT0Pif1IAXcTLTEhmSTb+ynNo8Ap43kSyWYFLDP52NzfVJ1WGOc2nEF24nLCjc+NOKPIcmOmuZkKpqYwNl2R1bMYwoAiKwTecd4krr1yDL2zfMk/BI8VT2649nkA8AYQNiB4gFAAORpgybz5WLzwrGe3Pbemf9mimYMb2A8JrseRC7uRKc6/Yaez/gjW2PTOvDsM1w0ghE7xQKxs6thuKtAQBE8+k8GNtxXws/vzaBCV+asVSNAZgTu2dzfXFDRNgWnhsMmybCQBbqAZ5JZETkjvpKJpYnx/RwRsS2Jri4kBbmK67RX1IMLi10JNiPrHAzFdUaCPCwbBcAbpBRDXWBGQRfUpYokeSXItfBOSPCpARAnCAPAcjneeNwlw4Hu3FvDHDRnUQ2okTegTKO0YPtyAIPQ9tPR0YsGChT89qu+4GzZs2bnf1/WAmOPQjtvQ3tWT/8VdN95bHd9x+vBoiHe/eRIFV65o6amUCiVzBKqC4Ja7CvjiP5YwMs7gC5rIxJkC4FRvt3m3mR3vkDjPMpLiRt0Ts9ekVcqZ2GXZojJsJA6dNftXUuM50zEtyoMqyyPrebpsskzHIsTojUnj0m3JXpmUIXpvXYNGlqk2SucZZavNPqPJ1ovMLM1hdKlLaw9j728ugposxBRnXhmeaB1jRE1aKhR9VfSUcfiEYHSc4Qs3FvGTuwuY4EZcv77XgqMl08B/e9M49lY8zJvd/XBf30cvrFZ3VD/xl2/eb6zutwQHgI6et+Gu3z5addre37j+h/+GnTuGUSy9iPdcUAVvIE41cwXGQ4If31HAF24qYaTiIkIH2RfANVmW4GEGuG3pHUvkOOY7xQaOFOsI7DmWfmlYQmKpbcaa2GxbN5+aqQiJlL9oQ/NcYW1TZkMl1NNc9jEPT4lTISSiuE2KJwcIVUqm8eGI4uvxTwqxJLlOFuba/q+5OUVcFRYSu2EIOJSjqxTgK1dWwBhw8x0FTPhE8nKhrq8PXHJuFV98bw2ElFCae3kDZE+10Lr/4D5ggAPAcStXIOR8zWUXnHPKv//m4dzEZB1+HRAiAHN9UCaweTfDHQ/k8ZUflDBScRTfnsL9jsRrHf5qgNvKqyQJOoJkMJVoBrHOJU3QlX09pnJxEoN+OjyTKfckwIwkSI3t+rWwF4YVm6KUS70QZKuR2LupM9RFEx/Xiql8ToznHBSUcwhQCMoRZfLTBF0hHCBUdiVUINf9K0MBQAV1CRFCCI72Yoi/+1AFWVfgzt/lsfklDwADXAfE9cAYsH3HHCw96uzJfPmYNRIfBzYOGODzusqYGJ/4/FXvPkss79z5ibmloWxloo5SYQyOK/DoOg9f+qcyHng6i3pAlevd9EyaYFcxZCm0JLaWJEutTVHTBFNIbxO4Ji4jiZ3sw6jnprjskxcjVcmcOfsTMAwKJG0nLG4utxPFs+0PYmb4WMcmpLbgiOt3c1k4U0csaskc9eRRCik4BaU8WkicQ90vJVAiKwoBIRygAOWICvITvQACjvZCiC9/ZAwXnFrHl24q47F1krfRXBZPbXDw+JJltaNOvuibQZD7gpvJHShM98+KkhyFYoEP9D927eqjOr66sKej4To+Mp6PR9a5+PR32/Drxwuo+44sW2x1WEjJpaRmqbUY3IwoLyWae+ik2bR1VGMzBbG7xaWVhEh1vxvoTgvCSkyRr1NDBfcxUoAdhcDamy1XPKwYFcPRE21PJDkgnhO79W1Hjx14FRcQss9FYydSdJxpXdHxKrFVRahH2daQIuMIvOmkGm746AhOWTkB+D6EH6DY1t2oia6v/uKuh651Mzm+r0s33ThgCa7H/K6BhqBd17u8pbH7RXrd9+7I0NsebMFTm3PSsG9Wa2nyTmpEmtGBsRR2FD0zvZVN6WZmqQFNVRISvQnMCevJlJzcCLhKxn034ZJgesk+1RD7nmdSlqQktwoD6ZUlCLjgsQOHmFaURAEh6xx6v0l3EjEtSopLYU0hwAEOcGUvl3Zy+d66GzLlPGoQyzhkfRZCwX0OEhCcukLgHz4xhn/9bQO/fDzLO2Z3Xee0dX/9mYGhxsvF5wFZUZKjf/PN6GrPrLjnoV1PX/G5J9iEX1CKQ13aNoFmzq26LUR/BkJ02GucdiZiywhsS4kJdpboLR9ZJfQco+i89actHCS2nshFYltPIusKiZ/HDalI/FxZTohhSYksK5ZFBs2fy7SiRNuam3yZjb1oZD0y95kWE2Ne0pJCkpYVo41MwrISpyPyptd2DXhdkdiIT0oE4BEiBXPIHfDQgedyVKoNPLDlsnCgsuyYjDOx7oPvevvLxubLluAAMCGWo6ettIln5l/5trd23HjPb5+gkw2BejUA5w1wZnoqjZDXuG1wbAkxAC5piTKFwczO0bTAph2m9SSq841mS4n1R2KeDSRoR5LCNEkEYh2TnESm2m9I7VQ2Y9i79cukFI9M5EK/gYhT3Ui6RI5t5cZrkrSPQ3ozAUArnDAcTeqbaR1TvqbRh5EhAkRmZnGqJDmJyr1RDgijwRiHg/FKETXfQ+ecE/m5J6+88umdKzfNa9l/m3faOCgAX77kBPxm7ebG5Ree+oNnn92WP3dlxzey7jYcv+Il/GoNcP/aMhpwbc5NYkWSkphjU2hJnV6JKsmjkzxcX25L2UQ6BYHxiMScZMBU7Ia3FVFr0nR0w6QVKbut1LTEXGIuCCOy0AIyMV3ycXQhTMBDg500n0c9EgPsUbx5ZKHR55QXgyvvlMoJikJKZPUsojoec3WO+OZQQgHi4941DHc/1oLl3W04YUUPkO/860Urzv/Byblnw2z5xIMBzYMDcAA494TF2L7jxfAjV/yXLZs2PFOp7rmjdOIxO7BnTOCBP5RkDcGobrdEFiVxmKsdICWaQB2lwkED2E4zaypeH4E1JR0tBahJaW1aTyy8E1sqm+uAJPj5jMdUEj2S5HHoLAxeHXkz1cLQYCfGYuAEYArhsSQncVgthc3BEVVuk55MvWDUV7MWIqQpMVKFlR5AVACXLHSvPKLK+sIAUM7BCfDkhjx+/ItOvOWsOTjp5HMrC5au3lIZfSkstx59sGB58AAOAKViDuXsxJ0tbzj2o7W9e78Zjj/fPjg8hgAeZBNWJ3IQMBorkDrMVZt0IoUxoh523Lbp0DFDWc2RGuONlG2meTAB2jQpbk9AM57JFNunGRFmFDhNqpGcFwM4piVE2b2JSVOUTwimdIehjCazgQwpHiVbRIuARL8kqvm29fUsC6eQwIayqRPIloNEUAjClQMJcImP9lIDvT05nHn2OcPLlq++etPWsTt757ccTEgeXIC3t7WoC7PnlmzubOepp8ZueOy5B7vqhMJ1PejWFHGoa5xCBpHABImltQVoJKQ3YAVT2VSmOaEBsMGeeEuLuqTOSeHj02J5up0ztKBE72nOT9ASpFKOOOFYKF0j5t9EcWybg+uFIdvtGIuAyLgVSohtfzdWoTBfG1WGhZDVzAQhCDlFEDoABC4+J48Fy0/fs2rV6Z/eM964ZXlfz8EDoxoHFeDRPSVd2LR9749aui6mx60Ov7JrzxNdRHBUAweCCrhERP3hdTSfHQmnzwPjVYI7Q/PsKVqNaCyk0JIY7KSJnsjjzBMoKd8EbBKdO9LzYB22z2HilaTtmIqXG3wZxJa8MSBtKqOVTaI4NCcCLKIg6VwcgBXIFd0Ow2uqgRyV8YsSMFT5CSJAKQVDKPv2UIpqzUG1lkHn/FP2XLzqgs8ClR8R0vVKQHFmpVoOZHznmzdg3tLT/9hWzOxpcWpnFulIzs35GBxjyDAgywQ8JovSMwO4MBUWEltMIo5NRRPfTjf9CWu/RW0i850h8c3ahJG5Tx+rTX4x2PXxxNhGKInsvzo2Jd5PrLmphYfMR/OXZMr9ml4Zj8TWE8z0uui1qXtonGLq94n1DxHPT/xpcJvdI0IVdgv1K+S5AbYOUGzfVYabXzKcyy/81MTo1h+V2g+OQpk2XpYnc1/j0x++CGWnevMZx8//+IfePrdy/rG7EQYcLgWyjkDWEcg4gMdEDHR1rMkPo5thSMmIr5uSNYVzU+MY8+ZZ5zTpSEL6Gw+wuKd5HuMP6kanHDHtsGJPYPxumS8SThcgsV3Y1ywKv0Xs0YzDae0uyVb5CfPRPB/iop+p3wGqwRRn8AOGRuCg4btoBA6CkCLjBrh3bR1PbDuyMh4s/vjAHnrznCPecdDwljZeEYpijsvOCfmc7vJPH3q8Kxh4rO/HDkayJc9D3pFhriCya1Yt0C2h5V8SnPrymjSEJjl2tE80ATfNPNgEdBgSLtrfDNB0uzeZev9MRpKPm9aQ6E1E6jGppkRNU3TqWpKXa0VTKYRJKmPFrpDYAkMQ8xd9raEMBAKQhTJDiobvIAylGGKMgQuCegO47Pz5tcfWt73/337Tddvstr0vyw0/k3Egt2K/x2VX/RCTIsvanOql1dHB//NC//as59LI09gIgJFJiqFJimqoFVGhelqKqKV2VLXKjP9uiveOeTkzqQk1FVBi0I8kfbEpRERlaOzZJMY5YjpDIjoTn8N4bng8rc9G4/eytwlrn0m7KIUqbBp/V/sYoT6LsLbFFM9u7MusuTI+PGpqQLm6ztyYb8eJM5XUAkHgBw4q1RzGJjJo+Cz2giJAd/fs2uwFxXcXu3A7QhES57OvOPZeUYqix8+/9T68oYeEhTnH//yUVfOuWL2yt8o5Rz4DdJQpulooBBUY9wNU/BATocyqDhHbZE1pqx9NrhhLdtG0L+nASZoE43mGzE7yXfNDJOZYg0zxfKphfD8hmvelbLLS0GKx3UxTrJBYGPuRoCXCPl5fcyt2RR1jfGR5fVRjBJcFyGUnkc+NI+QBdg9nsWckg/FJB5xzuPkjqhV/yRXFrvk/H9g065CAG3gFlczkePC+2/CBd56Nq7+26c/nnNK71XXIeR6q2dntDhbPd/GmU0dwxNwX8fRGgnrgApSqvEsSx50kJJylYFJbcZtOeifNiToWxEw4js8VS+BI2ltS3lQ2aYoiaiuXSSUTBM0KJ5l6YaYqgKYCCRjKp3F8HDjQrKwiVlTthZ30PyjHfEK6O06IrNcAF1XcdJeHnz/UgVo1C9934DpAT8+s0e55XR9auvqen6595BgsO/bdhwp2hw7gAHD3L2/DJ69+H845pu3ZWV3tLyxbMvfMlvxkvrtjHMcvreGMY4bw+DqBbS/kQVwXHiXwDIpiURGaBl7RBOzm50kKkgJmk54Y1hNK00BtWFBoEsT7BniTRQXNIDcBDCTBbCvFtmUkBjPMOSag0fzeMM9FYPgdkt3oZL9Uh4Uo5Wv4w0aOz3+/G0MjedDQR7ncguVHHTvU0jr/6t0js37i1Fux/Nj/figh98ormcnx9Wvei68DqFRGbmbMcZ5/7vHrh3bd20VoA4xRuI7UlpKVqfRFTmbi6BtnSqM0iSjnJdzvJoCMfbC26xs+tVfmYCoyTVaUqSYZymWTMhltjykJIbbXM6o/TmJaQpQCaiurIjq/WZI5LipEI+rSCICQMzQCDjhFnHDiaXtOO/PUz/i+f3N7e9sriqupxiEHuB6lUiv8xsQP+1acTAZb618JRm7t2j1Sx+B4G6jjIkuBDBVWj50Y1M3NotAkXZqBnPpTj6lBbdPpaWB8MBGuh47rMDcZn9W0BBID8HENcYncOMAqOq1lbrS5u4gXh+kp1WZFQC4QZWIknCIgAjRkqPseWnIhirlRsGwXLr7ojXvOe+NpnxUQPzxc4AYOI8ABWRIu9Md/0DXvlGCQNr7xL3f+qm3rboJilqLgCGSUI8h09gDNCl7S7p1mDrR6WyaVzSTYYQNaramUXwzbw/lKjDgGxAC3iJ/rOZG/wNgOQ6ILFSMiFMIFdGBUrIhyHQsjYsBDS291Wl3tKmo8qz7L2Dgwv4vhmg8VEeTO2XvR2Sd9KuT4cUu58AqjaPpxWAEOAMwtYrJWuyXMnjE8VBs+8r++yfnqrfc87nogyDsElMYxydEgNsibeCvSFcWk5Abs59HpE/OjxQDEJ5jBmEGoyYwNLRFmFaCkO51ANzrRNETPjywdGsBQtU7U2eRr+QmotntzRXe0K16f3+Q9UJVquTTAUU4hBEcYEpS7LvTfeeHk//Q6V28Bce8m5MBzKQ/WOOwAB4BcNsuffPq5O7/7mUu9e36/qcoY/d7DjzxFPFGlhFBM+gJ+GCtY8kmztp8aL56yzZTa8pykia+bw5LmidDWaQF6sBA+xWmbfEPCDJJS3R2IUT5I83G9LDiBoEJ2WdOhsqoFoXbuJFPk9PUJOUGt7kIIgdYWj3fMOUa4hVUfG3eO/WcyuKvRPmvWwQXJAY5XBcAB4Lhj+nD/oxsa87vn3HLUMv93BVp9e3V09/9av+kF7J1k8Lm0qJidGUwpnFbNKrJ4AE3HmTQDSAA/QW8AW5qnDU1jkvs10PY1TAoy3RzAaLOnowIRRwtqrhLVXBH2cQIAV0o8hJA9NKlQGfLyICJEXG458R1lQfoQBBQ79npwMgtR7mz9Yqmt92csO2sHDzY3su2rDyl2phuHxNEz03HeKctw0qreyUx998btQ33XX3Lekus+dkV3OHdeHaO1UHa4TRwTATXF7m16LOPJze9rK5yJMhHTgNocQqGpyVkzwxF9D0wDdOPccfa88dpw2JjANg+PnDncyJqPniMqI2Gi23QUUcKR8SYxMFbDMy8uDvfWj7zu6JOOvn79xsZGL983mS2vftk4OJjjVSPBzfG+K96GZ9b+Ilx1wruuCYOdzih54K9v/Mn6TGW4AoggkrrC+E8RO2xYZJtOMSciXQm1pDfi+ZqgTKdMWjHbkMpZVOVqGppinTPxPKF1GAkFdjix6VWMLSMqAUJnzaudhOh9iOmKkAkJgsfnMc9rnpxzIOQufMxGvuOk+iXLL/raMUs7rqmHd+D97730UMFjv8YrbAN4eUOIPXj8T2XMm1X/yrr1W0656Z/vpKPjtVP27Bl2KGVgjMBzBDwHcB3ZsMhhRryIPg9iEJsAt+NMYonf5MTRVhxlxtEJzdSgN7FTaKo4lPSs+iavq1qYNGn2tD53WrqeWS5DqC4vdryKqa+Ytm59TkpVPxxHwHVCeG4o29UQjiDgyBfbApD8oz19l/CWzsWPEhJ8dmN/Dn29pcMNlSnHqxrg5vja938J13VL45XKTTv6t75jy44BumVnHZ1FipwHeA7gOSQqUKlvqF0MpxngEbgNcMYKK7F+BZLpbeZry81PddHN/SgbEX0GG7BTejghDHBDdpqGeU67XIQJcACx08a4JhrgnsPheQFymQCF7ASGKiXkS728u3vB/83m8h8Mg6Ay54iXX9LhUIzXDMABYN2GrXCcfOfk+ParHly7ZuUDa6uXbtu0GcUcQyHHkHEBh8WSV/JJ2ddct/DQINAAT1aKjYCgwamuElXiP9UVHm0nVkwLVe57/T7TVZe1wE0lgKPSFwmAAyouhCS/TyKyUIFWRgdCRQPGHDxUXdj0haEEcJlAxpOxJS6rY15PDza+2H77okWnP9t3RPe3JqqTgy0diw43FGY8XlMA12Pdc/0ol4q9f1q34ZtPPLXx0sf+sA68MYZywYHjsAgQXAgEIeAH8lEDnGmAmdLUiDuJAqugATVdFoxBUyiJqIxJU2JQJwBOMUXsjF16DikAjz6DYSKNQmQThYGYKrPMmJTmumuZH1AEAYkcPPI9JbjndGXROXcFWjv7bp/TveTqem1ie7608HDf+v0er0mAA8DQ0CAynrv4iWeeXzVaqV7Vv3XjmRs3bsTQ8CgyngPGpHSqNwQmahy1hjTZOZTAYVLSx7TB5tAmhzdLIpuWlSTITd5uBWfRuGY4i57DAjlNkd5JegLAWmQwtun5zAR4VB1L1hV3GIfrCDhMlm+YrDOMTzqo1aUkZ1SACB9upoxFixajr2/Rg46X/1a2tPQZwf3Nra1th/uWH9B4zQJcDyHtcksfePChuYy533/m2Q2LN6xfx1zGZaZQg2PHSwGGK0DGFShkgIxL4Bp83U5WMACfdoXUz4AJcCAd5NQENbMBzlgMckYNLm0oi/K89qP93W3FM/7sthSXiiNH1uPIZ31kvQBDoxlsezGPiUkB3wfKRYYVK1aEc7qXbG7Ugw8d+4ZTBwBsTK15/hoar0oz4f4MdQM2Dg4ObwzD8ELH8brPPv0Ntz791O/Lz20aKGTYOFrbxnHXGoLJagY5T3WGYDGlgAGiCPAGHWjKD01ktQN6ocV2Gyu+wzjefL+mal1UWBI7/pLx5wM0h46fE8VRiIh7Z0JIh47qzqd0DIFysQ5BRvHHLUUMD2cwb3YRba2zJ8495/Qxzwkv75w1fxehdPtrHdh6vOYBrkdnZzs4F9tnzerc0ahPrCBUnLxshfinkcEtQZasaV+3a7C0dZuUaK4DZDx5A0MFAJNuJHl4qAOPjIg88/ZrxwoXIuLeoCKu+W1m3iDh1FEg14Uzk+eMjkngTbrVJZLjfToeRa4+IYAg1AnEAhkX8JwQm3czPLuzt3LJWSuHj1u91Ak5+cCceb2PtbaURgUEpy+j4PyrbbxuAA5Edmq+64WBve0dc+6tVMaXPvCL++rvuvLqv1m58vH3ZJ1tfnu2tiyf4VkR1tEIBPaOBYAAPJfGFghKpD2dKY9HyMFDaY0BpEXFiltREpUb8R9aMY2KyZt2SiTAzUTEx6VyDKNxq5pL44yaICTgIYEfSmcNo+pDABCKh7uMQwiBkQpF3SfoaC0gBKkJVt5w0nFz3eXHnX/Lxz9y/f8+60fHZ0rlUi0IqpyQ8uG+hQd9vD5+h6YZ/bueR9ZzyDdufhiLu7JsVkfpe4LXl1b27jy9/4Ud7P414yh5HFk3QD7rwvMYXEbgOBSuI0Ffa3BUxn00fP0LIBcAUyXNOBcIQmmpASS/diiB46g/RtWffi0pkuMALoN0rDARdbkOQiAICEJFQxiVcz2HyyRtn2BknKBWk4qx60g/gOMIOJTDcwO0txC0lWt4fH0ZpfKCcMWyhQ+3ljMbiRi7ck7H7jDIvQUQvpjffeThvkWv6HhdSfC0saD7CCD+sQ9GR0c/SFm2jTf2fPl3D9/t/cef+sMF84rHtRTo8aMjQ5iYmAD1GLIZD1kPKBXkz/tToxzDY0BrEXAcqTQ6TC6AeoPDDzjqvjTZuapyP7W6TKlh0g7o4CUB15UeRHk+goYv/wgBoLyLnivQVvIxOCowMOggDAnyWYpchoCHIbJCwM0V0NbRhrZy+MTs9v4n51QWsDNOu7ixsKfzcxPV+t6WlpbDfUsO6XjdAzw51A3eC+AjAHDvr38HEJzJw+CCanXi8vHxah8P6+jv34pilmNu+wTy+WE8tjHEzqEiijkHjBJ4DoXnMTiMwHNDDI6FGKkI5Dwgl5V0QzCdYKCH/YOpKRFjQMblKORCZDMBhscYBgY9NAIG1wG4S+C6UtLPbh/DwMg4ntxURmcxj8ULisjmsli65Ai0lLNw3dxzhULh1nzO/bUQpzz4P95zOoArD/dlP2zjPx3Ak+PCC84GgAeHhvY+COAhPwiOHB3dywcH9/BFC9sWLV1U/gwJ1uNiEeJf76xicrKCzrKLfJbAcRgyHtAzu4F8aQy3PZBBi+diFhPIOBLMOg5FEmmdMqN4tpLmjApkXI62Uh3Z7Bju/6OD/p0t6O5w4boUnPsIywStBR8hiqiz+VjQW8CJKxeB8tHrSTi29djjTqbt7a2UUmcLgHtL5dem3fpgj//0ANejo6MNAO7Vr+vV3WCO1zo2MvCoP97A2W11383M+YRL6fktRQrP5Xjw4T8in6uiZ06IgBEQl2EyYJis1ZFxCYKQyZrYVKDREAgpwLIUoQAm6wKhR+BQIAg4CPFRzHPkihx7Jz2MTWbQ6zIsXlhCd+9qFPIu2ssCuax/n98/8o2+Iz335BNXobdn7oOTtfrIwp5XR4LBq238f4BPMTL52QAwAuCXANC/YwBnnIwNQvDZrgvOQx8PPLIBjNVBqAfOPdQavv/2t5x2LYLxi3Je4HsuRSHHUC4QjIyF4KBoKTIAHHvHOIp5inKBgDGOrjbitnV6d4WTd1xbKrS7Wc+D6xLM7spjxYrl8LwMMi6hrkt2/+XbsbXcOhd/e7gv0mtgvO6tKIdy3H73wyCEzH7ppRdbPOYLxgiKOQflIjA0EoILitaSzGEcHOEoFxiKedlTsrONka6uzlFA7J6z4MzD/VVeN+P/AXBaGc/9IBo3AAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIyOjU5OjI2KzAwOjAwbmXhsAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMjo1OToyNiswMDowMB84WQwAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72622218
{'hecke_orbit_code': 45036614782551213, 'n': 1, 'trace_an': 8}
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id: 72622219
{'hecke_orbit_code': 45036614782551213, 'n': 2, 'trace_an': 0}
-
id: 72622220
{'hecke_orbit_code': 45036614782551213, 'n': 3, 'trace_an': 0}
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id: 72622221
{'hecke_orbit_code': 45036614782551213, 'n': 4, 'trace_an': 0}
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id: 72622222
{'hecke_orbit_code': 45036614782551213, 'n': 5, 'trace_an': 4}
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id: 72622223
{'hecke_orbit_code': 45036614782551213, 'n': 6, 'trace_an': 0}
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id: 72622224
{'hecke_orbit_code': 45036614782551213, 'n': 7, 'trace_an': 2}
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id: 72622225
{'hecke_orbit_code': 45036614782551213, 'n': 8, 'trace_an': 6}
-
id: 72622226
{'hecke_orbit_code': 45036614782551213, 'n': 9, 'trace_an': 0}
-
id: 72622227
{'hecke_orbit_code': 45036614782551213, 'n': 10, 'trace_an': 3}
-
id: 72622228
{'hecke_orbit_code': 45036614782551213, 'n': 11, 'trace_an': -2}
-
id: 72622229
{'hecke_orbit_code': 45036614782551213, 'n': 12, 'trace_an': 0}
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id: 72622230
{'hecke_orbit_code': 45036614782551213, 'n': 13, 'trace_an': 12}
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id: 72622231
{'hecke_orbit_code': 45036614782551213, 'n': 14, 'trace_an': -2}
-
id: 72622232
{'hecke_orbit_code': 45036614782551213, 'n': 15, 'trace_an': 0}
-
id: 72622233
{'hecke_orbit_code': 45036614782551213, 'n': 16, 'trace_an': 4}
-
id: 72622234
{'hecke_orbit_code': 45036614782551213, 'n': 17, 'trace_an': -2}
-
id: 72622235
{'hecke_orbit_code': 45036614782551213, 'n': 18, 'trace_an': 0}
-
id: 72622236
{'hecke_orbit_code': 45036614782551213, 'n': 19, 'trace_an': -4}
-
id: 72622237
{'hecke_orbit_code': 45036614782551213, 'n': 20, 'trace_an': -24}
-
id: 72622238
{'hecke_orbit_code': 45036614782551213, 'n': 21, 'trace_an': 0}
-
id: 72622239
{'hecke_orbit_code': 45036614782551213, 'n': 22, 'trace_an': -12}
-
id: 72622240
{'hecke_orbit_code': 45036614782551213, 'n': 23, 'trace_an': 5}
-
id: 72622241
{'hecke_orbit_code': 45036614782551213, 'n': 24, 'trace_an': 0}
-
id: 72622242
{'hecke_orbit_code': 45036614782551213, 'n': 25, 'trace_an': 4}
-
id: 72622243
{'hecke_orbit_code': 45036614782551213, 'n': 26, 'trace_an': -6}
-
id: 72622244
{'hecke_orbit_code': 45036614782551213, 'n': 27, 'trace_an': 0}
-
id: 72622245
{'hecke_orbit_code': 45036614782551213, 'n': 28, 'trace_an': 8}
-
id: 72622246
{'hecke_orbit_code': 45036614782551213, 'n': 29, 'trace_an': 8}
-
id: 72622247
{'hecke_orbit_code': 45036614782551213, 'n': 30, 'trace_an': 0}
-
id: 72622248
{'hecke_orbit_code': 45036614782551213, 'n': 31, 'trace_an': -17}
-
id: 72622249
{'hecke_orbit_code': 45036614782551213, 'n': 32, 'trace_an': 4}
-
id: 72622250
{'hecke_orbit_code': 45036614782551213, 'n': 33, 'trace_an': 0}
-
id: 72622251
{'hecke_orbit_code': 45036614782551213, 'n': 34, 'trace_an': 16}
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