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mf_newforms • Show schema
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{'Nk2': 1480, 'analytic_conductor': 2.9544648747873743, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 185, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 12, 'char_parity': 1, 'char_values': [370, 12, [297, 261], [3, 5]], 'cm_discs': [], 'conrey_index': 97, 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, 8, -4, 0, 14, -24, 14, -4, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008298799923570, 'hecke_ring_generator_nbound': 5, '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, 185, 16, 1, 12, 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': True, 'label': '370.2.q.c', 'level': 370, '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, 5, 37], 'level_radical': 370, 'minimal_twist': '370.2.q.c', 'nf_label': '8.0.5308416.1', 'prim_orbit_index': 16, 'qexp_display': 'q+\\zeta_{24}^{4}q^{2}+(\\zeta_{24}^{4}+\\zeta_{24}^{5}+\\zeta_{24}^{6}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '370.2.q', 'trace_display': [4, 4, 4, 12], 'trace_hash': 1052017294309256671, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.632', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '185.473', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7195.065', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.093', 'prec': 17}, 'traces': [8, 4, 4, -4, 4, -4, 12, -8, -12, -4, 0, -8, -4, 12, 0, -4, 12, -12, 4, -8, 12, -12, -8, -4, 0, -8, -8, 0, -24, -12, -8, 4, -12, 12, 0, 0, 0, 8, 16, -4, 12, 12, 16, -12, -12, -4, -8, 4, 36, 0, 20, -4, 16, -4, 16, -12, 4, -24, -8, -12, 0, 20, -4, 8, 16, 0, -16, 0, 16, -12, -4, 12, 16, 0, -20, 4, 4, 8, -32, 4, 8, 0, 0, 0, 16, 8, -36, 0, 8, 24, -24, 4, 20, -16, 16, 8, 0, 36, 4, 0, 0, -20, 0, 4, 40, 8, -28, 4, 20, 8, 4, -12, 48, -4, 20, 0, 0, 32, -28, 0, -8, 24, -4, 28, -56, -32, -20, 4, -8, 20, 52, 12, -12, -8, 4, -12, 4, 8, 8, -12, -84, -8, -48, 12, -12, 20, 12, 0, 0, -16, -12, -4, -4, -16, -32, -8, -32, -16, -32, 8, -32, 16, -96, -12, 0, 36, 24, -12, 12, 32, -48, -8, -48, 0, 36, 12, 80, 4, 32, 36, -36, -48, 20, 8, 48, 40, 44, -8, -16, 8, 52, 4, 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mf_hecke_cc • Show schema
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1, 'dual_embedding_m': 7, 'embedding_index': 1, 'embedding_m': 5, 'embedding_root_imag': 0.9659258262890683, 'embedding_root_real': -0.25881904510252074, 'hecke_orbit': 3, 'hecke_orbit_code': 9008298799923570, 'label': '370.2.q.c.267.1', 'level': 370, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 1480, 'analytic_conductor': 2.9544648747873743, 'char_conductor': 185, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 12, 'char_parity': 1, 'char_values': [370, 12, [297, 261], [3, 5]], 'conrey_index': 97, 'cusp_dim': 212, 'dim': 76, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1099545182578, 'hecke_orbit_dims': [4, 4, 8, 12, 16, 32], 'label': '370.2.q', 'level': 370, '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, 5, 37], 'level_radical': 370, 'mf_dim': 244, 'mf_new_dim': 76, 'num_forms': 6, 'prim_orbit_index': 16, 'relative_dim': 19, 'sturm_bound': 114, 'trace_bound': 3, 'trace_display': [2, 4, 6, 0], 'traces': [76, 2, 4, -38, 6, 0, 0, -4, 0, -2, 0, 4, 8, 8, 8, -38, 0, 0, -12, 0, 0, 0, 8, 0, 2, 8, 64, 0, -18, -24, 16, 2, 12, 0, -16, 0, 14, 0, 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mf_twists_cc • Show schema
Hide schema
-
id: 41439115
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 267, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298799923570, 'source_is_minimal': True, 'source_label': '370.2.q.c.267.1', 'source_level': 370, 'target_conrey_index': 267, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298799923570, 'target_is_minimal': True, 'target_label': '370.2.q.c.267.1', 'target_level': 370, 'twist_class_label': '370.2.q.c.267.1', 'twist_class_level': 370, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
-
id: 41439116
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 267, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298799923570, 'source_is_minimal': True, 'source_label': '370.2.q.c.267.1', 'source_level': 370, 'target_conrey_index': 193, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008367519400306, 'target_is_minimal': True, 'target_label': '370.2.r.c.193.1', 'target_level': 370, 'twist_class_label': '370.2.q.c.267.1', 'twist_class_level': 370, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41439117
{'conductor': 37, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 267, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298799923570, 'source_is_minimal': True, 'source_label': '370.2.q.c.267.1', 'source_level': 370, 'target_conrey_index': 347, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008367519400306, 'target_is_minimal': True, 'target_label': '370.2.r.c.347.1', 'target_level': 370, 'twist_class_label': '370.2.q.c.267.1', 'twist_class_level': 370, 'twisting_char_label': '37.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 41439118
{'conductor': 185, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 267, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298799923570, 'source_is_minimal': True, 'source_label': '370.2.q.c.267.1', 'source_level': 370, 'target_conrey_index': 273, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298799923570, 'target_is_minimal': True, 'target_label': '370.2.q.c.273.1', 'target_level': 370, 'twist_class_label': '370.2.q.c.267.1', 'twist_class_level': 370, 'twisting_char_label': '185.88', 'twisting_conrey_index': 88, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 789650
{'charpoly_factorization': [[[1, -1, 1], 4]], 'hecke_orbit_code': 9008298799923570, 'p': 2}
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id: 789651
{'charpoly_factorization': [[[4, 8, -4, 0, 14, -24, 14, -4, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 3}
-
id: 789652
{'charpoly_factorization': [[[625, -500, 200, 40, -41, 8, 8, -4, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 5}
-
id: 789653
{'charpoly_factorization': [[[4, -24, 396, -384, 206, -120, 54, -12, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 7}
-
id: 789654
{'charpoly_factorization': [[[16, 0, 1728, 0, 584, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 11}
-
id: 789655
{'charpoly_factorization': [[[64, 256, 928, 448, 280, 16, 28, 4, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 13}
-
id: 789656
{'charpoly_factorization': [[[9409, 17460, 9054, -3240, -493, 216, 30, -12, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 17}
-
id: 789657
{'charpoly_factorization': [[[10000, 4000, 800, 1120, 124, -112, 8, -4, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 19}
-
id: 789658
{'charpoly_factorization': [[[142, -52, -22, 4, 1], 2]], 'hecke_orbit_code': 9008298799923570, 'p': 23}
-
id: 789659
{'charpoly_factorization': [[[81, 1944, 23328, 19224, 8082, 1944, 288, 24, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 29}
-
id: 789660
{'charpoly_factorization': [[[85264, -60736, 21632, 6816, 1352, -144, 32, 8, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 31}
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id: 789661
{'charpoly_factorization': [[[1874161, 0, 0, 0, -529, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 37}
-
id: 789662
{'charpoly_factorization': [[[1270129, -1230684, 480886, -80808, 2235, 888, -26, -12, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 41}
-
id: 789663
{'charpoly_factorization': [[[-386, 404, -58, -8, 1], 2]], 'hecke_orbit_code': 9008298799923570, 'p': 43}
-
id: 789664
{'charpoly_factorization': [[[20394256, -1806400, 80000, 24672, 14072, -816, 32, 8, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 47}
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id: 789665
{'charpoly_factorization': [[[160000, 64000, 80000, 8320, 3376, 992, -40, -16, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 53}
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id: 789666
{'charpoly_factorization': [[[2262016, 2069504, 666368, 98304, 14048, 2112, 152, 8, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 59}
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id: 789667
{'charpoly_factorization': [[[8427409, 2229504, 443856, 39000, -3433, -696, -48, 0, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 61}
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id: 789668
{'charpoly_factorization': [[[35344, 123328, 129776, 31200, 6764, 1296, 164, 16, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 67}
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id: 789669
{'charpoly_factorization': [[[21316, 25112, 22868, 9080, 2950, 160, 62, 4, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 71}
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id: 789670
{'charpoly_factorization': [[[341056, -177536, 46208, -5696, 1312, -496, 128, -16, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 73}
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id: 789671
{'charpoly_factorization': [[[10000, 16000, 26000, 18880, 7756, 2144, 380, 32, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 79}
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id: 789672
{'charpoly_factorization': [[[240436036, -41866200, 6174756, -368640, -18514, 2520, -126, 0, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 83}
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id: 789673
{'charpoly_factorization': [[[332929, 514684, 100046, -98076, 15083, -1452, 218, -8, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 89}
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id: 789674
{'charpoly_factorization': [[[1120843441, 0, 29339684, 0, 246006, 0, 836, 0, 1], 1]], 'hecke_orbit_code': 9008298799923570, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 3, 'label': '370.2.q.c', 'level': 370, 'portrait': 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AJhDXOThtkJzVI7pN0XDBKf5Z5gw4RhsWU4fk5R8QM2TMOWuYj1MwPWzQzZMDNky3rLtg2KS7f6VFWdI8ebfOPZgMf3Jzx9LEarDm99VYt33Gypqhn2H5vkyGmPU+c1Z1NwH1iwXHf5PD//vctsnZ3g1PwU55eqLK74LLYky21Nu6fpDGDfkSX2n2xf+uzh+VcfOrWw48iphTtveuO7o/vu/JOXGhJ/pdvfagZfWGrRiyye4pcffvLQzb/4gb+Q33bdwZv/n3ce95bbMyy1J1hcqbGwHLLQ8lhcESyuaJbaMYsrmrMrcGhRsG52hV/4/kWu313jxLlpTp+vc3rB49yi5exCwsl5zflOwuT0gFde2eUVl0Agq4Qq5NxShTMLHmeXBL0hJImhEhjqFc3URIIBjp1NaHdh+3qfenWItQJEQLdv2LZhyOKKB9ZJkZUuDBOwWJZaEZvX+XT6CqEswgxpVny2bRyw0hMcO+2hjcdMU9KoCEIfkkTQG0rOLknOLFrOLSeE4QD8hBsv63Lz5YK5ZpXF5SYnzoWcXoBzCwnnlhJOLcGhRcvLL1vgP3z/Mhsnmxw/O825pSrzSwELLcHiimGpFbPU0ix2DOc7kpNt6LS6/Pr/EyXf8ZrmAxMb/4GpNC9+QEj9M1qH+OHf3uzo39og83c+/GfMTk9w8sz8L33kj+/9l3925xPhnpMrLCwn3PZyuOaCLokOiGNFnEgSI9Am1dmAtYDQCGk5vDDFf/i44Jd+6BzX7IxoVKepVxs0ayGNms9kU3FuUXF22eMrD1b4/P0JF23tcckFCUvLfS7dOuS73mSIE4XA8pffqHC+VaGqhxw9o+h2G1x1oeZ8O2HPPp/dWyUHTsONF0OrA5HxCL2I2TrsP1WlVo0JVcJEQ7DSgRsu7XDoZMju7YYjp4c8d8j9f/7WAYfOWSYaQ5baEZ/7Sg0rFFprbrm6x03XWM6u+Fyza8CuTT5J3KTXr7LncIWzC8LJteWEc0uG40uCc92Iq3cv8u+/p8u65hTHzkxybqnKworPQkuy1NKsdGJaXU2rb2j1BQt9Sbc35IbLlnjVpcse8fRrzh/9GNWpV980ueFNplKf+Hd7nvhzLr3mnS81ZNa8/a1k8D/8+Ke57qrN6s6vH/z3+w+f/XePPHNMLbZjWrHifF9z1Y5z/PqPznP1hVXOLU6zuFJnqV1hqeWz2PJY7sByS7PcTljqJCy04MSywKsOuOnyJb7zNRE719VZ6TY5X2KvpZaTCMsdQ7tvaA8tvUHCTDNm23oDCELfcvK8j5Ah29cpdm6ybFrX49zykKcONLj2IkutusyzB6dp1COiyGdmytAfwKXbBnzia5NcvDVhOLTMTkhi3adRCXnu6ICqX+fq3QlPH444txiweSZk50bYtiFCqZiTCxD4FiEs29cnTDUknX5It+fT7vkstRVLK7DYMiy1NAstzdkWLA402zZ3+c5bFrjpEo+K3+TMQpOF5QoLKx5LbcFyy7DSiVnuaJY7lsUunOkozq8k3HDJGd7/Y4vs3lJjud2g2wuIkgaycpGWweZfWhpc+osN/5h+xave/lJDZ9XtbxXA9+/bT6VaqZ4+dXLbw489+56Dh0/9x+f3n2QQK/qxoD0UzPcl5zoxL991jv/6Y4u87IIq55emWFips9yusNT2WW57LLdhpWNY6SSsdBKW2pZzLcHprgXR5R2vavGW6w0XbKwQRTWWWxVWugGtjmK5K+j0BIOhJUosWoOSltCHamiZbFrWTcd4/oBDZyKeORhikjpvuiHC81d4bM8EOzbCFx5OeNUVIedbfSqeItEx01OQxD6en7C4WOOV17T5woMNdm6ERw8M8alx2/WGRPR55pDmyMkKngxYP+UxVRdUQ0EQCJSAxEAUWwYRdHqWla6h0zOs9AyLXUtfa7Zv6fGWV7R4x80RmAaLKxNOb7d8ltoeyy1Y6Wha3YSVjmala1jqCgfudsJ1u8/x/h89z+U7qiyuTNDq1uj2A3oDj1ZHoipb8Ssbf3Z2wyV/umXL5uODwaC/e/fFLzWU8tvfGoCfOH6Adevmgv37Dv7gvv0HP/DQI0+I+YWu7A0NvYGlO7R0BoLWoAD59Red41fft8Q1F1ZYWJlkcaXOcjtkpROw3PFY6QhWOpZ2V7PSSWh1Dctdy/mO4EzLMDXZ4w0v73DjJQnb1yuaVZ92p0LoS0ARJRJjBMZCbwAIw1RjwIFTFmMj7nq0zrBX5cLNATdd2SM2K9z7+CRXX+Rz4GyX1nKTV1zZ4yuPhayftuw5ZvnHb2+z52jI+mnJlx9X3HSpYqnX5vCJaa7eHXHvM32SYY0bLwvYtXVAP+nypccUaMGhkx7NmocnoNd3QbU2ljgBpMELDK2upd6I2bpxyM2X9njDtQkz9QrnliZYXKmy3HbHZrktaHWh1UlodRMnS3qWpa7kbFcw30l4xcXn+aX3zXPVBRUWVyZY6dbo9AK6/YBu36PTU7R7gmFSNdsvuMLu2LHrJ3ZecOFHFxcWoksv3f1SQwr4WwLwOE5kFPXe9vSjX7iw00ve/9BDj/mdvqA/sHQHCb2+oZsCvQzyM62EGy89zy+/b55rdwWstCeYX27Q6lZY6QSsdD1aHUWrB52upd1LaHc13b6h1bPMdwXzXYj1kKsu6rNhWtPtWd78iiE7NhgSLfGkJYrhnqcqHD9fYeNUwrOHKmBqXLJFcc3FhrDS47EDPeYX6ly+o05zcpkHn/a57qIKi70VlpebbNhgeXiP4nte1+WRPR5b1vksdFssL01zzaU9HnxWM12d5PILu5xvtXj4+UmqXp2XX2zZvW0AsstTRwTrpmPOzcfc+5TPIFZICdpYdmyMeMMrIjpdxaYpwzUXQRTVWGrVWGqFrHR92j1Fqytpd6Hd07S7mk5P0+4ZVnqWpb7kVEvQGgy5afc8v/jDy1y3O+Tc0gTtTpV2r0Kn79PtKwfwvqTTE7S6mnY35qqXvTw21vvJ73rP3ztYr1c/5/u+eamx9ZIHmSZpY03n+xdPP/Jry/P7ps+eW6ZZlyAkQlgQIEgQEqQwSGGRApQwKOnxyP71/MyHPd5x0xLvfd0SOzdHnF1sEgZVqmFALfSpVz06VUmj7zNR9+gNNN2+Zv3Q0B9aOoOQpfkKJ09YosRw6mxCGFpAECiLJwW9vkLgk/Q8XrZDsGuTZdvmHkPd4YuPKPYenOKN14Zcc+kyH/uiJRA1dmzu8fSDis2Titlmj4qqEsU+5ztQr3hsWS94cm/ENburvObqBX7/jj6B3+D1N1j8sMdXH474wkN1nj9S5YJNNXZs1MxNReycjblih0Ypg6csYKmFIXOTIVHs0+kFPHvApzvw6PUV3YGk24fuwNLtue/e6Wu6fUu7b1npw3xPcW7ZUmu2+Cdvnufv3zTkqgvqnFlo0OpW6fRCOj2f7kClAJd0+4LuwDKILMMY7v76w369OfNrU7Mbl2695fp/ubjS+/2Zydr/uQCPox7aiB9ePnP3L589ete0Hg6pBBUSLTDOBiGz6oXUSJGCXFqUtHjKEkjJ0wfmeGJ/nf2nz/P2m7vcfNmAyUaTpVaNertCsx/Q7Xl00pPdH3j0hh6DoWUQGaLYEseWRLt7lARYA1IJfE9QCQSTDcFUAzbMGras7zE71eLOx+DrT/hIM8Ebr/V52SUd7n8+Jho0uellgla/z/nFOjfuNsxO9qh6IYNEMd+OUUbwst0etcaQx/dVePU1E7ziqg6P71NgJ7j2soAfeusSX3ky4suP1NlzvMK2OcWG6SpTjRoTDaiG4HsWJcFY2HNEoLUgTgRRAsMY9x2Hmv7QMBgaegNDb2jo9qE9hPmu5HwHhmbArVcv8babW3z36w1J0uTsQp1Or0KnFzjmHih6A0m3L+kNBL2BpTfQ9AY6/b8tJ8+f5eDJL063+vo/f887Xu21O70PNxsvHchfMoCb5DxCDH9o+czdvzx//EvrbNKjVq2irUFb45I2FkAghFuKpQApRc5cnrL4ylD1BQu9Kp/82ha++kSbV12xwvfeusIVO7vMTNZYXKnR6Yf0+n4KbOXukWAYS+JEkCRuqXe/0wWVngeVAGpVw3QjZvO6HgldDpyK+ZN7Kxw+UWcyrHLdZR43Xtnm4f0t7vpGkxsuqrBtY49PfE2gREizEbPSHWIsKAFzzR7tToBJqrztVef55Bdq7DpX4S039IjiRe59ZoZYV7j+snW85bo2F21t8dXHezx9osZTRwK2TEumm4JaKAh8dxFKAUJYjAVjLHGSXqyxZRi7C3kQQT+CzkCwPBQsdUB4A66+eIXvfcMKr7pMM9OssNKus9JxrN0d+PT6Xg5uB2xBb2jpD7S7DzX9yDp/XyjOLbT4vT/+yrpBwi+/99tvtsfOLP/e9o1T/2cAfOXYb7H/1CXsefq+H5ionX2/7T88i+ngeVUCX1MJJdoIrAGsRCARQiCFcuCWGk8JPGXwlCHwLKFnqXqC5YFisTXFp+6p89CzXW66aoXvff0KV+9qMaOrJElIb1Ch2/fpDz2izEPX7ncaK1wWVFjCwFCrJIRBROAPObU45I5HJQdPBhw5OYUyIbs2Bly6U3HtJW1UOM8zhxpsnqxx+QWwYW6ZpXaTKzZLEmO585GQYU8yWU+47foBn7s35vjZBhdf6HNmZcBzh322rp/iqp3z3P90hwefEwyjgEt2TnPJ1pBLtnQ4dGaJg6fgkb01DhyuU/MEoSeph5aKD1K6Nc9ad7EmGqIEIi3oDgXtgaAdQ2QSjB3w8ovafO8b2rzqCs3G6ZDBYILFVoVON6Q7COj1PXoD5e5DQX8g6Q+hHzlwD4YO4IPIXUDDCIaxwAqPE2dbfOCP7l53/NTZ91+yuZZ85tOf/dhfPtrmQ7/0fX93Af6v3v9RJrb9Jeu69rvt4ORv9haOTYZ+ROB7GKvROsHk4MbpbwFCSpQUKKUcuD0Hct8TBJ4h8C2hb6kFmsmKoDP0WW5P8emvN/naUwPWT/V4zy0tLtk6YNDvcvlOy9YNimHso7VCG4nNwC0Nvqc5ds5y5KxgpW+4/f4apxamsJHPVEWxacZj+waPCzbD5bvaGLnABz9XZ2lpghsu8bh8V4uvPiUQic+6KUm9ltCLA6SVYCXKC2gNBOeWBJfZGrdc2+GBx6tsmg244fJp/uFbF/joFzo8sq9Od+CzuNJg56YqF2/scf3uDu98dYfTS0vcfn/IYi/k2BmfU6cCfCWQUiJwEk8biI1FJ4apmZgrL+sxHMZcsnXIu24Zsm5CMd0IieMKZ+Yr9PoBvaFb5fopsPtDSX8o6A8FgyFuJRjq9G4c2COTAl8wSCDSoIXi9PkWH/+Lh2ev3L3pN192+cb4Q790wR+dPfwbbLjgn//dA/iv/uYf85Pf81rxvp/l3ZPBcx961yseq12x02cQ+YgEbC5JHLadNMlkCXhSpsydPnoOiIEnCHxDxbdUY0stskxUNFNVQS+SdKI6R07W+dU/mgaTIJKEa6/ssXNDRJKAsQZrXRJHCoFUAs8P2Hc8YM/BCvWKRyOQzNYEczOSddMem+YU2zdqLt6+ghaL/NZnmhw7PskNu30u2aHpJx2+8UzIZNVnZsIy2YioVZ0UMkbSGiiWupbFlqbVrfLKy1d4dE+PvccVk80K1182yfvetshvfxYeP1in27esdDzOLTXZMFtj3dSA7TMD/vW7ezRrLZ4+AvtOSHzfopRFiJQhrGPzJIEdGzQ3XZGgY584CbG2xiDyObsQ0B+6FW0QqVy+9SPBYCgZRIJ+BMNUyw8jwzAyqeRx4HbSR9CP3WMnFnS0pG8s7eWEdfNPT772itMf+rnjy8lXn/jnnzrw9Dp70VXf83cH4D/5K79HR2j1M7/7uXcsnl382O/du1h5Zm+N9//oMhdvU/T7VaRwGTohUngLkNK6gFIpp7c9Vxvte4LAVwx9yTAyhJFmGFuqsWEYG6LI0kxgGBuGCUSJYBBLhjok1hX2Hqzz1F7Q1uKg7bSxLyFQruajEcLlG6FZhYm6ZKqhmJn0WDcN2zYM2Ti3QmyX+K3PTHDo8ATXXKC4YItk15Zl7n4u4dziBNfulEw1DZWgTyhDrBIkWiKsJdERy90K5xZ9rrmkyst2d7j/8QrrpwS1SoNrdhv+yTsW+c3PGp471WCla1jpKOaXPWYn60w1q0w1J2jWYubqMduviQj9BN9LUEoj0+NocRdVHCvOz3vEiSJOFFGsGMbpYyQZxpJhJBlEkmEkXIAaCYaRdaCODcNh+hiZVNfDIC7A3Y0EnViyEgv6UYIdDnjZjhV+6YcXeOWF52pnz0x+7Jpdv2N27DKfWTz2W3pm+z/91gf4j/38h4nx1bkTrXedOHn+9/ccOFup1Grc+cgsgaf5xfetcOlWjZIaKaopyEEqi5LOCvSVxVcK37N4niTwhTsJvmAYKKLYAT2OLVGinSuSlO4aEm3R2qANTm8bcnALAUqCJ8H3IfQElVBQCyX1mmKiJpmaEKybTti+oUejvsJnHoi495lpVhaaXLlNsX2jz0VbB2ixwp2P1Kj7HnNTikZtwDOH4PnDHldstfSGiqsuirlyl+XsGc38ckB/UONN13W47+k+B04p6lVJGDS54gLDL/7AIvc81+dz98yy2LZsX6dZbnlMNhUTdZ9GzadetVRCQxgYQk/jKSe1ZNpaaS0uYWUEiZEkWpAkgjiRRIkgjiXD2DkvUSyIYksUwTDWRDlpOLdpEGeBK47BYwfuXixoxZJ2DIMoQsY9rt6xzC/8yBK3vRwWW02i3r7KRKP1h8PW3D+Ynmz+Wbzwfu3P/uS3NsB3r6vJdi9+78NH53/n0WdOVSrVCkggrPGXD8wRDSXvem2b99zaZbKpUb2qA7bSeNLHUwbfN3ieh+8pAt+xTeRLhoEgioU7ObEiTiCKpXMQksL2S7RBa+cuaJs6JakcEkIgJSgp8DxB4AnCQFIJJfWqoFmzTDYM66eHzE11SOwKn7pP8tEvzLCuUuHKbYJtG312bDJs37jMZ75hWVqqcMkGxVQTGrWYc0cl55dDgp0uCJubkExOwoEjluW24exChYt2VHjdtR3u+HqFmQaEQYCSk1yxS/AjbzmPL8/zl/dP8fypCuvbMesmEybqikZVUatKqqFHGEDog+c5h0mmEi8HOe7C1ga0FiSaFOgQa0uUQBxrRwqxIUofh7EhjmEYu9KFYeyYe5AI+pGgmwhasaATW5LBkIlKm/fctsR7Xtvh9dcIOr06WkuaNY0d7q20V/SHjp/Z7CV6/R/jeOZbE+ALJ3+HYbT8Az//G/P/9diRs82pRpgjS/sesWhw5yOSbzxX4czyEv/4nX2mmgmD0GUcPaXxPI0f+wSeZuh7DGPlAJ4yt2Mc4ZgoZaUkgViD1s5JMMYFXMbYrIczBbcDuFIiDVodQCoh1CqGRjVhspEwN9lndmqFB/ZG/OFdVfYdmWTHhM+uDbBlQ8CW9XDxtja9pM3De5pUlc/clGKyAZONIVMTCUHgIYS7uPrDgKV2zErP0uomnF8O2LahwSsuOc9dj/TYd6pJLYzxVYAQE+zarPi+1y/w8ovP84d3NXj42UkWux7rmgmTtYRaRVKtKEJfEPoS33exilKk9qFDuauytG71SoGeaJOubo4U4sSQaAfuJIYoscU9dq7MIBEMYkEvFnQSQTuBQT/BJn1mam1+/DuW+Nff1aNe8em0awziEK09Ei2Jkini1nxzcXD0tx44vCv4lf/+Bx/96R///m89gJ9faCGk+uFPf/GPfvnR507P1AOJsYbECnwBSgi6wmPQrLMy8Pmvf+Kz59AKb3t1l1uu7rB+NqLTqdAfhgRRQOT7BL5HGDt7L4pdrUgcS6LELbtxknramtT6I2VuibEU4E4dGsfc4CmXMAl8SyUwVCsJjUrCVHPIxtk251o9PnC7z52PTrO0XOfCOcG2dYLN6wK2rBPs3DTAC1b45L0eh0/U2b1eMtWQTNQ1Ug45NW8JPYkULpiOYo/t69o8gqbdUyy3LeeWquzeUuGdt7T4s68GHD0X4nsxQvgYWydOJNfuXGb7d7W58/Een7hzmseO1tk8JZita+oVTSUQhL4g8CW+J/AULnCWIq/JsLiLzFic06Id4HOQayfp3CoIkXa1LlEiGCYwTAT9BDqJpBtDPzbo3pAts21ec80K3/7qLm++zuCLKssrFaI4IE584sQj0QpjXDJKmUMzr7584/tvvOn71b/+oZUPe+Hktw7Al5ZWCAPvH376c/f+8p/fcWhdHAkqvgOYNhCnejeQgo7w6FUVrdjnk3dXuOfpDtdc0uG7Xt/n225oMzsxpDeo0I8CQt8dqGHsEScO6EmiiLUkSSSxFiSJRGuBNqLQ2kaQqxJL7s4o5VwHXxkC3xAGmmqY0KgOmZ3s0o/7fPUZy5/cPcHDz04yFfhcsdmycVqyfiZg05xky/qICzYv8/TRPrffN8eE8pibEDTrgmYtptXTfOEbFRqBiy2Mhf7Q4203Dfn8Q64mptU1nF/22LKuwdtv7vLw3g57DgTUwwQlhQO5qTGInNb/vte12L3xPJ+8p82Dz09yfLnKhqZgomKpBYaKZwh88JRASfIkmSNyB3WTSjVjihUuSYHuCAJiLYh1mhXVgn7i7h0Nw8iQRBH1ape3v3GZ73p9m2su1qyf8hgM6rR7AXHsE6XgjhOF1tJ1XhmBLw2+2b/u+KH7fnnjzltMv9f6SLX2N9848TcK8IXFFQb9LlKK7//SV+77L3d84aszur/MdF3lvqw24GvwFfiJJVCCSiLoKZ++pzjZDjn9UI2HnunxZ1d0eNetPW67aYXpiYAoChjGAVGcHrTYHbhEKxKdJmx0AXBjU+Y2RU1ZFsQqmWZDPUPga8IgphpGNKp9NH2+8rjkj742ybNHJhBxyI4py8ZJy+ykYm46YMOsZNNczLYNbU7Md/jdz9VJhlW2bBFMNjyadWjWYoQf0e7XmWxYhHBWaJxIpkNFYhI6cUCnp1luK07NV7nsggb/6O+t8P4/Djk2X8dTcXpheCRJhUEk2TATcu2Fba68oMtzx07xJ3dXueuxSU63qtRDRSOAum8JPIuvwJMunS/EaHWdAaxxF502Am0h0cKRkBZE2iWJ+lrQ19BPLEkSY+KImUqfN926wntubfOqKxImqx5xUmOlFaas7RElhWuTlACenZ94uc+p8/es6wz8/7LjwuuTc+fP/MFEo0ql+jfH5n+jAO/1+tRq9W+/575Hfvv2O77c7HdXaNY8xwp5cGNJVApy6R4DaalqQU8JeipgoD3OD6v85cN17n2ux/Vf7vJPv6PDpds6rJtUNOseURQQJT5JUoBcZwA3EmMl1o766yKtZVHKukyolxAGCb6KaPdj5tsxv/GZCkfOT/H4nkmsCZipCtbNWmYnBDNNxcykz/oZyYaZhM1zPWYml7nzCcNjz09y5RbBVEPSqEmaNUO9GiH8IWHo4Sn3+60FrSX9oUd/EJMYQadv6HQtS22fs4tNbry4yysuW+GTX65QXVJ4MnaAtB6JDohi1+M5O1nh5bu6vPzCLo+85jTH5iV/eNck51dqnFwMCZSk7guCTIZJF3jmRJ5JFRyTJ1YQG0iMYKhxSRtjQSeQxEg1ZNNUnyu3u/Nx3aWaZtUjSeq0uiHD2J2PKPZJtFq1wibGnZ8kJaE4EQyGXbpPfW3GU+q3d+y6Zjka9m//m8Tk3xjA9+8/wNYtG9SHPvpHFz773L5mq7VCteKlkTo5wPMlUFk8LfC1JTAQJlDRlroS9LWk54UMtM9iVOWux5o88PyAejjkH7y5xdaZhO2b+tx4eQdPKBo1D0TGEAqbNSDbEnNjEdKihPPMLQnIhOeOSB7d63HHww2eO94gSmo0PMVc1TJdt0zVrPPBmx7TEx4zk4IN0wmb5vpsnFvm3meHfPCOdWyc9JhrQrOuaNYFjVpCNRzywH7FIPLw6w5U1gqiRFLxFFfv7vPQM5Ou8KmvWWn7LKyEnFuY4h+95RwnFxZ56Mk5fAmIGAM5gIaRpNv3mGpUmGzWecXuHq+5ssd3vXaevScMn3+4wsN7q+w/XCcRHsOhohcrlHClD6OBZ5oTsIbEWKwx+EIzEURUiHnFNV12bhywZTbme28bUg0kjarPMKrR6gSpBHH3pMTYsVYO2FqSJKlFmYxalYkW9Fptnnny/ub5c+cufNWt71ZHDh/SOy/Y9bcH4Hv2PM/0zGTw2GOP/mDFt/912FuhWQ8wBjxlSWQGcOu+WOZwKAd2XwsSZQk0hDoFuhYMNAx8n4H26ekqnY7mv3xyCpvErJ8bcNm2ATMTCe96XZ9t6yLiWKR6W0KJubOUv5QGIQWfvqfK04fqCM/j2Okap87VqFQVE6Fgsm5pVgzNCjSqgomaotlQTDU8ZiZhdjJh/cyAzevaaLvCp+9r0u/WuWiLpVlTNGqSRtXQqCT4fsSdD1UY9iT+OueOZhKlXlW86fo+X3/C0B1Kun1Nu+ex0vE4u1jj0p0N3vWqNo8/V+PYUgMlDRCnetkn1s5NGkSS7sCj1Q1oVGvUq0Mu3TLghosHnDjf4uiZFTxf89Rhjz+7u4ZQyoF7fP6gNYDBWksSabavT3jP6/rMNjUXb7esnwGd+AyjBkniuoGS2CPWLnjMQJ3oEmOnwX8mH93ztOIxBbh7Ljl+ahmvpv/rE0883tu2fftH9+3bE1188aV/OwB+8uRJFubnd586feoDTz35mKyELp2e+dBKWTztWr8Sldl3omD0tDDINy64CTUkxlLTwvmzRjDUkqGRRMYnNjDfbXL30waL5i8ediMbsCa9Z1m81CITriJRCIlUiiT2kMbD9ySNEHbOWeq+oRYaaiHUQkG9KmlUFc2ax0RDMtWEmYmEuakhm+Y6aJb5jT+vcP8z69g1A1O1lL1rkkY1oVaNqNf6VKs1QiVRMtXgODkQxz6DvqA/1HSGiu7A0Okb1zJXDzh5boJXXjbkn7z7HL/2Zx7HV0KEMFgbY7QlTnyiWDIYugaERt+jXgmoVSvUwhqVMKZRjbj2oojAj7nuooTvvbWHp5I0CWTyevsC5G6FMUYihCT0FRAwGHosLnlp3U4W87i4RydZ/OOArdMG8Jy5U1BnwE7G70mq92PLww8/KhMjPzAY9O8bDgbP/k1g838Z4Hd98S+YqHvVw0cOvWP//oMi8F1BVKwMKjEo7cCdaIs22XPhAG8s2pQYPbOrUh2YaffEWHdwDCTW/SwyksRKtPGITYhOba/yLc9SCvCEcJlKBZWqpeJZKkoT+hB6UAks1VBQDSS1qqRW8RzA64LJhmG6mTAzOWTddJdN6xb54B2GT9y1nq2TitmGoVlXNGqKeg1qVU2jGnNm0XDoTEglcOW3kFX6CQaRx84Nhg2zA9qDwHUv9TXtnmSl49GoVmjUJvneW89z+MxZPnT7ZjzpYTFoo0mMdY5SpOhHriiqV5HUBh7V0KcaalodF2MEvsb3NL6v8aRrlJBSj5ZHWJfWB5GCXNAyaZWlSeOaLEgc0dIpkNPgMckmHOTMnZ3fEqgN6ETkP4uSIrh9+qmnRavde8eWrdsPffrPP9P/jne+46UF+KZ1Imh3zv70oHvup5UYyGrFJVqkdhWAnrbE2gFda4vO2DzLphmLp9MgR5OCvnjMtLvJ3y8q5ZyXK9LH7AQVN5fJc4GVJw2eJK0hB18JfM8639gTVEJJJZBUQ0W1omhUJY2aZaKumWwkTDeHzE712LZ+kYf3D/nkPZuYqoSsbxiaNeHAXZXUK4Z6JaFRG/LwPnhqb40L52yqe4u0eX+ouO5iy0Xb+jzy7GReX93teynIfWqVKtXKJN/56iWe2n+eh/ZsAKswRju5l1iS2Ob1JP2hR21gqVYUlcAQBj5hoAk94xJmnisxVsq4LVikKw1GWASFniuCc1dCbDJHymT2q8SkTkhWauzOpXtc9Txfrctgp7Ajs6xzAt1+V9ojp/59lIRBpVr7JSB6yQA+HPZkHPV/4Rv3fOJfDjqng3rVZxg7n1smAiUdC6vEaWxXC5ICPQO7EWmyQeSMngHc5ODOrCyLSTNxWbLCWluagzK64spSNaLK0vFKOIDnRVsu+xcGikqoqIaCWlXQqFqaNc1EPWGyMWRmos+muWUe2tfnF35/PcdPTnLBrGGyBs2qol5V1CtQr2iqlZjAH9AaWJRU+MoiZfHJMmDESUCzGtNLDL2h25+nN9B0epJWVVHrhFTCBjs2xPziD7b4+Y9JvrFnPRaFsQatDYlOiBJDFCsGkaIfSqpDRSWQhIElDBShZ/B95/d7yjqAq7SQLWsLFHZVg27WdOImhmVAz/ILRZ7BMTp57kFrRgA+UhqQJt8SPZZcSixJYogSw4HDJ4KE6k/+83/8A3631/vZeq32107n/7UB3u10iKPkl5558oF/fvbsiUoQSGxaweYaE1y6XCUCLQUqlRllgDtWLu6uIMjmoM5Z2oA1Fp0fcFKWYazEtpAlIg8snURx9eTOLstqyX1PEgaSwFdUQjeSoRpa6hVDo6Zp1mImGhHTzT6b5lZ4aG+Pn//oLPuOT7N92jksjaqkXpOOvauWWkVTq8TEOuLjX24glcKXFiUKm9DYbPn2+b43LvOlxyI6UUgvBXi3r+h0Fa3QoxKEhH6Ti7cm/McfWuTnPip48Nn1GCvRxqXV48QVmg0jw7Diyl3DUFDxBWHgMpuBZ/OMradMWsyWrnCyBPAi5ZmCPHVaTAF2kwOcfOpADuTS+65MImNv0osgA7glMQads7dJ2wUtFsXRY8cqX/nqvf/i2958q2i32z/TbDb//wX4wvlDYM0rThx5vGqSGE8JLGklYOIYUyZO9yYalBZoVQDclB9zxk5fWwdox9zZo3B1FGVwr/G5MoBnNRhZJi9jb8/L6k4kvi9d/UYgqIRu5kkt1NSrDtzNesRks8/cZIuH9/b4hY9M89yxWbZMCWbqJWlS8ahXXP1KtZJQDSN8f8ipxSl8JVDSpLZcEWRqLUkSxcYplzxpxxX6Q+uaCAaazkBS7SkqgU/gV/C9CS7ZkvAf/+E8//b34KHn16GNdADXljjRKZMbhqGhEkkGgcolmO+D75G2+kkX+Mu0JFmASB/LGM9wbjPZYrLy24x4HHizuCJfbfNVuAC0MUWcpY3FpDUwI3Uw2pAk7hxHg4h77nu0umPnjlfI/4UdJ/5aAD916HaazVbtsYe+GgRyARG6wEEI42ofhNPfUjpd5cCVLU8O6DmwU5DnQC7LkOx5Dmr7ouCGIiWdVQm61USkaeuintzJE6j4EAaGasVSDZ1+rlVjmrWIyXqf2akWjx0Y8HMfnuKZY3NsmlTM1Q0TVUGjIqlVFLWqoFpxF4dL9Uc8tEfQHQRUVHqxS6fBsyYEbQRx4lGvKG68vMPDzzXpxU6m9IeaXl/RCRVhoAj8INXPk1y61fAr7zvPT/0PeHDPOmIjiU3BflkP5jCQhIFx7J3Wpvjpxe3upDKlkHEyzfKuBXJKcU52DspAz1baUUlJXuuSr9a6tGqXAZ5qcZ06aEkCx08t88Hfvz1469veUvudj32+92M/8G3/+wFu7fPA1skzhz79u/Vw5dVxZUiknGWlUnC7zneRg0unFqEyAqOKck1twHiO1W16ZduMtUuAzqoAc63tPsiILEG4giIhU3CL4vdnF5hKKwZ9DwIf1wkUpAVWoaaayotGdchEo89Uo82TB4f83IeneOroOjZMeszVDBNVqFcE9aqiVlXUcvbWVMKERm3AvU8FrLQqTE0VafIMLFnBUawV62YUt76sy72PGtdFE5kSyCUVX1LxPXwvwPOqSGm4dKvll993np/6H5YH960jNh5xWgHoyl4dk4exzKsLA0/ieWkRlhQoLzs25J8vuwgzqSKyqjSKhFBGLhmjZ+RjRgBPaTW2OXvn7+VAZ5TFM6BriBPoR5p4fvDqJ58/+nvf+d53/+gdD5xYeevNW//3Avzo4VMg5n9KdJ95b6hOUqtMIIROm3Wlm1+SZOByg3MS5U6oZ2wRjHjZgSiWtDyoMSVwvxBz26zzR+Qgz/IXslTjrVRRMegpXH2GZ/F911hcCQyVQFOtJNQqMfXKkEZtwPREi8f3D/np/zHLk4fXs27SZ11NM1GzKbhT9q5IqqFj/0qYUAsjEjOkE4UIJfEzBs81eKpZTVogFvvUg4ErF4gqTGUgH2h6gWPwMJD4nofvZRvQWq7YYXn/j57j3/yO4cG964mNx1ALIm1SFhdUYkPoWwLf9a56adzhKVcirKRMj0/alZ89lgqz8guzHOtYxmIhm58zk792UtPobEUuSpYzVneJvxJrl1yVKIFhIjlyZAnbOPTeN5z6xiERx//2fyuDHzpyhq2bN2z/zx/8zStv2H6aHbOCwVCjPZFX6Tn965pflTQkSjiLUKYRtioFj5o0Ks+W7YIlMrCP15MUVrctWLscVGbLbVqxqNJgyvOs6wxKi5Cy6sGKr1PdHFOtDJlq9piod3hoT8LPfHCWJw6vZ27CY66qmahYGim4qxVnJ2bgroaaSpDQrEfsOWq55/E6gZT4yqRBXLHoZ8t3rBWJ8bjl2pgLL+hy6HiVuRppl7rrgewNUhb2FJ7no9KZMEJYLt8Ov/IjC/zb/2G477k5BnGVoZZEiaWW1nCHPg7kXrZ6mby3VSqdr3BKihLARQnkpWVyFchtAfARsGfkVIDaZK6YLbljaZJP66ySkVSLO288TkBbj6h3DNO6+8q3vOEnty8vnDg2NftXZ/G/MsBXls9Qq0/sOHLo4V/fvW7w7cpAlHhI6bzVbDETwiKldCPFpEAZ56JoZSlKWFPHxCt02zioy8HkKgZx3JIy+Bi4hUWqzBYsBgT5KXMHnusQCn1DGCRUgoRKGFGrDJme6LHc6fH1Z+FX/mgDTx+cZTYF92TV0qgK6hWRe+XOeTGOvQMH8Go4JNKaQb9CRbmLTAoxUsmXJVJcoOk5Le8NGaYtYAXADUGgCXwP35d4SqGknwMcAVftFPzKjy7zX/444cG9M5xuNRnUJZPa0kgslXTiQOjb1PvPnBSbs3cmVTKA5583/dAiP+bF8bfpSSlWVptLFlMGvmHENNDWYrR7LAehRaIvlSiphK0F0FpMuPeh5Nul/6B++bUv+xfHT5w+um3rpr9ZgFfYg4yrN4TmsXdsaz5LJfRJtPNSPc/ZlMICQqYMatEyTQIoUZIiKWPnnmp2YFwCZ0TrrWLtUVWYnQQ37iFjb5vKk7REQDnmdl34Jh0zoXNwh0EK7uku88t9fvnjNW7/xhwL3SnmJiRzlRTcFae7a2lgWQ0ltdCmDO60dyWMgIivPRmwHAfMhIzUYyNGVyitXfNDM/R43TU9HtoX0YlDJmLDMJ01EgxdrXrgOYB7yqKkj5AuQYOFS7ZKfu2ftvn8Q31+6SPrObkwRX/SYzIQNBJDLYEwdqOXA+UGGvlZoClFHgRnj+VAvXxhCpH3ioxIlaxTyJZZPP+etqTNbb56ZRJlBOTGgTsxzrQw1uUsBoOAP/rcMVbive9Yiuof7/b6R/9GGXxxpQP1+kXPPv+Ff9Y7ezeb5hJ6gwraCASScswt0mGQSgq0LLN2ylq2ALtJn6+SJIjUkhoHuC0YJX2UwuR+t/N0nSRxNpgDtqccuH1PE/iawE+oBDFhENOo9vG8Hvc+pfm9LzS54/51RKbJuqZgtuJkibMAM59cpXeRMneZvWM8b8gDz0/Sizw21myaMRxn8Oxil8SJouIrXnFpn8Q4gPdjwSBzQyI3cs33MotTpUB02UcHNsHspOC9r+3SCE/zkS/0+frzM5yNq/QqkmZiqXvWgdxL4xBl07jEpiBPiUGINI4ptbuJIsYpnYkRyZIDvExQKaDzTHPK5oVcYdROzMo2TAFybUAjWOgFPPz8w7zzLZv/2TveeNsT32taB4T85g0S3xTgjz93gl/76F006jOb2st7X3Pt5rNcsrmZFtt4aJ3h2y2bUhuUkYUs0SJtGSsFkinoCyniAi/yx7IkGc2viXSpKMsSIWzu52ayRKWTrzLm9pWrxQj9mCCIqfgRtdqAIOjxR3d5/OofrOPQ/DR+WGFDQzAdapqhpR5CPe2wr4Yu21lJE0KufkWnK4GTJwttTTcKCJQikDYPMLOvYSnKC7J6jSjxqfoDNkz2Wek16MciHcvgYgXf16nNp1K7UzmAjwSurvLx21/V5brL5vmVPxzwiTvnWErq9EKfui9peq4GJ/QgUOTNEF6W9ElXPplLlSIBlNr4mTDM0Z0z+RijlyVmLlsy+9COWYlpRjQvqU5X+TgF+cC4WSu+PcGUeug1DIabBu3FA0n/CF515/8awI0xvO/dr9vx5Qee+eCR/Y9z821unp9S2cCctJZBWKSxKCnRxrpaFGMxSqCNyRk8T/umJ9naUaBn8wjH6qbSw1owuEizb4Xudmlnx+CmxNw6BXlC4DlJEgZDQr/P0XMJH/p8nc/eN8Phc1M0az7TFZgKNY3Qpqn3DNwyBbfMk0KVVHuHgbtwmvUhn3nA48CxKpV0vFzeLkaB8nyMg3U6PE48LtkOb72uw+99cYZuzaOZjmgIozRuUAbPk879UJRA7pdo1a0K22YlP/M9Pa7ceZL/ccc0h89OsJRU6fkedSWopUAPpHUXTuoyqRJJZMG6EK7MN5MrGZmVCacMcjsmM80aj7lctWWQg7ZFgigxgsRCbNxd+IIH9k3wyFPPsHvXKz4YTP39N+t46ZtKlRcFeG+QUA0V9z/49Bavv3/X66+IsGaaSLsTJaVJS1EdazogS6RxDooxsiRFikc7Am5RWtpGgZ01LGTDgCDThrZg7oy9U2CrdJ6KY2+N7yWuc8dLCMMhgTekoyM+8KmAj3x+A6cWJzGqyvSEYjqwTASGWsrctTx9L9M6lVSapN55Du7AZS+HccSBkyHdKGQqTF2cLOmUuRKlFSqvSYk9mnWPnVsiVDigEzXoB4JqbBlmAPd0mqhRzseWWQnwWsGrYm6ixz/69h7vuOUsH/l8mw99eoaFfp2+V6HiKWqeoKosYWIdm0snVTxZlDdkq+IqJi+di+yCzc9ZCdyrgV4UxpkxNtcpoHOQp8+T9N/XFFgzySe+0GNq6sSua1+2fsuOC68+ak2MkD4vdHtRgA975xCmNrd1o/jU4Wef89fNTdHqtKmEETKdXSKNwAiXRpdSYIxBpZVn5Sq0rMumDGxTYusC6Ktn8meVbiKXJjbPuklRBrf7TI7B3diJwI+pBBGBH9EaRDzwtOSP7mry6ftmGOgGQRAwEwgmA0M9sNRCSy0owF0JJWEoCVNp4hJDqTORAjzwXebzyBnL1x+rEcU+Yd2uCjDzVdEWAbcxkihW+L7Hrdd1+ORXuuw7WadfcfNehr4lSMCPDX5kUCrLEqdJtWy4DwWAtHHlq7XQY/1kn3/znT0u3TbkE3c1eHTPBPP9OgMV4PseFU9QlRDK1EbN7FVp06x0WY+PFmXlYB9zuPJsZ/pmzt5k3UOZHheFFrcifRx9btL/NJSWZgj9ToVP3f60v3XH9Z9qLq28rNPpzv+1Gbxem5Cd5b039M5/ZWLnxiVqVYOSbgi9ksZF8TL7Qhk7y1xz569HmLvE2mVQ50mcMYBbQLh9LxE2DYDc/L2s3FNKk9qB2gFc6VyOeF5Mqxtz/7OC3/9ik7sen2Cp1UBWKzSqiknf0gwMNd9SCyzVgJS1HXNXQ0klUFQCQSUgrdAzKbgNoe/0t/KG7D8Jp1oVl1hJ9e1o4iQn8LQPMi05NZIo8ljfFFy0tc8zxxN6se/GNMQQRKTTvXQqUbJEDYzXaeSp89SGjLWrD3/PrX1uu36Zrz7R4WN3Nnl0T5PFTo2WDOgGHoESBFIQSlwPp7R4wqZMnk4hEGnZ7zjAWX3KKDM45crE8r0AcpIyd1J6nZUQCgAJsbWs9AV7jw/50B99beK9b7/lhuuvueiLvMjwoBcFuIlPhoGf/I5v99bXz3TciAUvwVM6dS/SQCNjZJmBV+bsPQrqrKUs7ZfMQE5Z1ZWZu8TgIgO2LYJKmV5w0qCkG/8WZG6GjJnvJNz7mMcX7m9w+9cnON+uIyoV/IZP04MJ33XyVH1S2QHVQKR3mZacpro7EIQZe2cA9xKCIKESRFgb87XHQ46dqTI77cYiZPPMpRi7bC15+alOJUV/6LN9veDWa3p89hsR3dinHwsqviVIHIsPY1tapVTuVyPkiEwpzkHRoJAkHtVwyHte2+cN1y3yF/d1+Pz9Ne59usH5Vo2+COgHHp6v8ITAlwJfSnxhU6llkYhUctnR7zQO9BF3JWNuB9gywMtMHVuRg7uo789Wbgf4xEoG2q0s/adP1d/6Zn7n2f3nLgX6/9MAX2wZurr/3YOleyY3zB7Fao9YFyIyA11xUOVIkbw1ZXBnHe6ysAGzEwGuf3IE2DY/cFnyKAe2MGnzsEGkAPc8TeDFVCoxg6Fm3yk4elrxJ1+e4IuPNjm/XAe/gtf0qSlJw7c0PEPVt1R9qPgO3BXfzSR0ZaaydBfpz20KcpODPPBde9qh04ZnjoTg++kyb0sp+tG0YH7iUyfFuSlunPMVO4dctqXL3lM1+hVBLRGEsWWoSK09k7J35qZkFmShVXKfPWtOMCqdPuCm+VarQ37gTUPeduMKX3qsy59+pcbR0xX2nqoRrYQkocfA85BKunQ+6e8jLT3O5CFZAG1H2bwE8Bzc1o2OywNLRsFsrMXktG9ynGU1R7EQxFbQBayGlflFHn/mSWZnXnz3iBcE+HKrJaJo+E9+5xP7Jy+cs7z8wh7X7naDaJQPJh3amIM7kykZ0E0Z8DI9qbLkkhSOCekJLxihuHIFBbhdSadxox+kJgzdJNVEa84uwpfv9jh0sso9D1c5tVzl0Ok6hCGq5lHxFHXPUveMcxF8Nzi/4rtxbQ7E2V2md5UCnFRzp+D2NaHv2NtdWBFH5mHP0Rq+HLUHc4lCUQ+eB115ssv1NCaJz2Xb+1y0rsezhxN6iU8jFgw9CNKZgKoEcCkFQsoRJqfMkqXkWtY36XonfYZ+QLMa8X1vHPKqK9ucWm7ztUcCDp8I+dLjNU4vVtB9HyM94kCBVGmw7KyV3FkpP67GeCHJxpNC6WO6nKWRqi6ep03QrksbSCzCtwhPc8PuAdfvGnL9zntm3/CGf/XPfvy9R97vVXauJQJeGOAf/MPPEyea379jgI62sXN9m8u397jl2j6X7YzZNJWwa4fGQ6BjWWhtLQuQI0tLZsbYmd4WYF9AxOURu82H0md3pTR+qIm15fAJwTOHFV9+uMazRwKeP1KlPQwZRiH4AarpEypBTUHNM1RLPnDoZXUaWdmsqwsPU1kSBIogkOkFYAvt7WuXWfSdzq8EMdZEnFuSDG3opt9Ki1ey2cbrOjKQa1v0O+rUDxd4zE1HSDWgG/v0POGcjrgoGPOUGclASlGCVzbsiCKw11lZQNpD6WuVj5/oDQM2TEVsWx9z7QVD+lGff3CkxbNHA778UIVnjlQ4fDwkTjxsqNBSgZDo/MuVE31rnE/BGinpDNAZuDMwG/LMn3WC3EOza2fM5qmYS3bG3HJNxGXbDZtnPRK9WF85d/97wXv//xSD/+mff5GzCx31l199XlSsYFFP8NTRCs8c6nHXI30mvJhtm4dccXHEG68f8rqrI7CuLapat1iTfmlTgD8HN4VEGTkgNrMDHVP7noVUjsSRpTdwy+DRk5I/viukFyuefL7CwRMhC92AoQ7AC0D5qKYikIKqgpqyVBRunJlKC4+UY+3AFy7pUQa3LwlSWRIGEAakrolLmfueIfCTNCMaU61EnF/WfPnBBq1OyNSEwJMmLxnIcDB+y8tNcy0uGQ4VszOK224c8KVH+xxv1en70skUz00C8+PMs049dqmdXUh51onMf4exXul3OKAHWqE9ReIrYu0Rx76zUv2YehDzqisSXnHpkLe/ZsD+E5Kn9vj0I8UnvlzjyFkfhKTX99CRytumrEeRDSqf1xzgJVslzwgZRGIRxmJT0FfrGt83CGt43TVD3njdkMsvjti+WdNUkum6RxRX6ParDIYVSA4IE16v9j1zV3LxlW/8qwFcABtmGx+oiO5VM5UEIRQLKmAYC+Z7HvM65shSyIPPaj71lYS56QRrDNfsjnnP6wd5/ffchOHqK2LqFZuOT3NrtFjrSkfkw3laPcFTT/sstiXVCjy8x+dz91UYxIpBrDhzNsAIj9j6GOGD5yFCD09KNwpOWiopsENlCZV1NeBe6vl6BXMHWV9mDm6V9miKnL0D3xAEWYGWztk7CGKUirj7CcVnv9FABZ6z20b09wszeN4JozPHQzEY+Lztpj63P9DmE1+boJtUqKc63M90eJxlHG3eLSSEzAGWZilKWr8EcJN2wXuOyX1PkXgeXqId0JVGKTdIf6qScNPFCTdeHGPFkHe9tscgduPc/vK+kEf2BFRDwUJb8dSzAe2eTFXSuGDJgE0OdGtda+DVV0fMTmrX9aMt73l9n6svirEG5qYM05MWhcJanzjdInEQOYC3OiG92F61ftvUB7D8o78Sg7fbfRqNSvMzn/3Li5thohqhZagtfS1SQEkwCqMVQ5NwrmU4t+KWl/3HDZ+7ewKswWrLxJThhqsiGlWL0S/klWT4zpJHgpWu4tFnAtotifQUQyMZWs8xk/Bwc4E9kB5SSnwpHJilJZSGQDogBAoCVczocyAvxiS7PX5k3nhcBrdj+LSs1s8YXJfuCaEXY23EqYWAaFghnJAEadpbZWXD5SymyM9vKQAnZ1ZtFFHsM9VQbJ2NCMSAfhLSTwRVzw3BzGpIVL5BQLm8Vea/q4h5XG6iGIJv0maT0viHRKd5A5Vu7pUQJxoVpyOslUbKhC2zJl0xDJduGxDZHtKztFqCR5/xWOlJVK5YRoPqUSpz5bP1iuUVV8VMTBls4n5SlQJPkMpcD50ohkahE49Ee+k8GJ8o9ugNAs4tK0UtuvjVr/225qDbblfqo72bqxlcn6bXVu+vy8OvVaKHtm658wT4QjCUCkQAQqX6KcmXmwRDK1uOpKW9Yjlzd71YljL6GgF1Sb9lfYtCYLItF0hrToUEodKgynUP+TIDdZp2lqQbt2a+cenRSzvpFenWe+Tgdm1dbrh+GAgCj7zE1DF4yuKeIUizo74fE4YxJxYMf/ilOngBvhRFgJnLkzVqq0secTYk1IFNobUD+ffe1ucv7u3z/LkGXe1TS9ymtK4K0BadOCrLCRTBXn5ccyUgSwVe2d3ktTCep/C1yx+4enGVb0KgpEnrxtPnIouHNJ5wUmK2Zvi2Vxo3fCmVmWlpaek5YzGXSJMBCpN4uWTVibMDjS3nVJwTpLUiMSrdDc+V/Z5baPPU8YOvXbf1xPsTrX/8mzK46n8cKWSwaeY5FoY+ZzsTeTbJF67GO7FeCeD+aMSbV0q5u/bHgZ1ZjVnzX0m35RU92XIrETLdRhBX2ukLN6wzEE4KeBLn1SrSmor0eVZI5FGag5KxdtFVXwBc5rIlDGze0hYEpjQ4J8FP2TvwYqSMOHZWMN+uIDyPUDIiT6QYvYZLmfqRCsqyPk60Ikp8ZppDtm/os/fskL72GGgI01mOfpLq8CRLp5uil1Ko0tUkctnrJu1mDQiiJI0MnjZoJVGea2L2pEqL1TRSmXSlcPfMms3yIG5ClkFG2aQsW8p2ZvahXVuw5PZwMUeybEaU/fzsbo3z/AM/YXaqy9TUCh+9V/D8/B2BNavzPasAXvX2goR9x+d5eO86FobSzbbGLbuhAJk6ANaqUbsn++R2XI6sXqTGWTwvgRUCkSYUXPbMXViesGnSweY1Htnz/L0xkGcjIjzlNpfyvGIeigO3dI9BBvQs+EzBnXX/eCaXKL7n9GkQxCTEfP6BKufmq/gTiqBcw1F2UBhTpCOVdmIsCFQMhm6C7Vtu7vLA0wPaSYWe51FNDFGaTi8XRGUFZ0IYis6hLNAcyyCadKaKJZ1yIPCMIFECT8t8/1FPGZIU6EUyzeQJNpmBXBZOV+Z6ZSn9NQFeqisqA7yYrFVK/q3KrbjnUliE5+p/bn5Zi0/eZ/nyg02kXC2BRwB+9uifMj+sv7K/ePt19z+zRHvgu8GZVhCINHWLkyplsz6/2sr4fpFb5glnJz7LimWAVqQ2W/Y6td2y5+4xK40lBTn5KIQysPM5KIqRXdpGAJ4FnJnu9jJZYlO9PVpLHvgxgR9xtmV4/GAVvAAvlSdeqUAp+15iDOHueBVVd9lYjDzrqBVx7HPNhUNmJvu0lmv0EkVNgZ+476K0dfe4DHAcyPNfVE6spcAxNq8PMsqgjcA3Aq0kWhm0EiRKplZkUbyWlUNkwFbK5iyeDzYtJeREGdxlkK9lludPC6DnDJ+DPZWv6b9xhX6GRgivuKRHK/Gv+5H3vO6Vrc5r7v/R7yy670cA/uXHJX6QfNvdd9ev/vhdU/SoU1Hk6dqitiZL0aeZqhKwvwm2c1DnZZjpc8UoMKQYfZ0BW0pyjzl7z8tb1ApgK+lkicq7VwpgZ823jr1Tze2R6+3MEnSMXYDbz6sTYwQxd9wX8sCzDWToEUjh5m/nFYTlevVyHXVxQvPRaDmLu0BTG0V/4HPj5X3e+qoOH7qjQaRDulpS0W7L7PyiFiWZImXK4uVf9UJMDsaT+cClDNxauVLoRAk8KdPREgW4s1okqYpKzqL4bfQ5q6TKaGXomrdyVrt0cZa7uQQWg6vCVGGN77qlw41Xnbl609b5bzM6un9NBt938CSzU/XbfusPv/o9n7nHEutppkKFlzJ3mZHKF58tvXixj14utRxh8AwIjKZ/i3LYYvRamdHdFiTkbO5lHfTKPR9h8bQbxlej4HbjFMaYO+3ZDNL2Nt/LGg6S0j0mIuZPv9ZE2xCVZy/LAWbR15g5GyMaPGPxrF0vm/ens2DTQ+Dzntf1+Pjnh6yYmL6u0NcCPyFncSmtm2KQ62EJYlyLypI1WS5ZFWgv7XhXKcg9izJOrmjlZkoqKVNwy7w0WeqMzQtA56uI/J9g8b/CbcSXyDBjDdb6aO0ReD6Xb2wRNPrf09jw7ff0O8e/VG1sGwW4TmL6g+jCwHR3TfkdGn5ApG0eYI5oyRdYZkYBXcwtQWQ8Umaz4nleb5yxeokFcwYXReJEioKxs5mDrk1N5Fo8G40wMuwmBbanROGk5Hag67h3jck2Ze4iwPRK7B36EY8flBw4XcEqHyUlgTSpjCqvPMVBW1WrMaLBGamXzxyVOPHZtSnmsgu6fGN/lVgF9BNBRYKvLV4iUCJr9BDIJNXhSARm7DSJEouLkjQq6rF1Oh/SUwatHNCVsKlMkSX9nf1OOdJNJdICswLclvLcQ4edogxjDMarcZ8xAiVbIv//JGiLsYI4rtHuwqyxu6qz8YVJbL6U/RcFwKMW0SBiqhqxcQqWehYRpRrbrgZm+TOsCfDC9h3poczqS0YumtJSXtbj2dy88iiITKYoIVz3fAb2tNMlZ3JZjGkrtv9Ombs0/Md125MDO89W5sytCTyX2HFdQTGWmD/7Wo3FxSoi9JzvXlpZVtWgjJ2wsvYus+qIN20UcewxOy15960dHj/YZKgr9FRAVTstnpWzujF5RSmrwKSeeFbuBGld84ged03A2QVW7o103VheukIoY0uJJVkwd2lCrcx8+FIzigtAC1lSnn84Ul43/noMR8VzO/o8LUPoRwFnFz06WLzGEnE8yP9eDvDlk39BP5BIvYJWHsMk08bu2JS1c/GLV191a43+ejFpMvq8qJ+WJatt9HkxjUmOsXd5gqxjcYnyRgEeeOkAID/bOjDNcHoWP0/Fm/S5Hrl7ykXuzx+DT93VYCgDlFRp9nL0QhzPYK5pk1Fi8ZKbYlIGT7RHqD3e/cYBv//FHk8frhIrn56UBNqk7pFAals6ZhYhRe5iuJtJf9fovkVlJtcGvNxCTEdcpyUBStt8WGfeCCEL5s5YPWtAyRsjRFFpKMr2YQbozCYvouJVzD4ubYq2RZvGpILQ0wSB5c57n+PM7afxZCHRPIA9B45gJ3bUGud/cafec4JDC1V0VKMZjLUsjcmUMuDLJ3H8vXLDarHMjAFajIJiNOB0nd6qBKIMzLLE2LlMKc0hVBmDp0meEXBn6Xs/a0w26XbhGbizns4kvccoP+LAKY9OFIDyUnlix8pjV1+8Iy5KSQ/bcS887cYpEj8edV9w8eYBTx+I0CakbwIq2tVse6kGV8KNIBZpC6HIgZ2Jw6J9IM9wpvUwXj7Y1L2nDGjpAK/S3SmkKSYEqBFwF4Af6baS5fO7BoOPTLO1I5hyf3k1249fMDJdJeq1Ids3t+k/nqAmtuz86Pv/ae1Dv/benl+50AH82QOnqFRX3vj8cxt+6oOfeo7TywEb6u76LzehrjpxYx9q5HX+fnFVSrH64pDpClG21MqgHmHwTJrIMpOnY9qyGmlVAnX+PE3yKFIv3IHbAbgYCuSX5UmZvVXa1xlELHUM/+3PGyz2K4jQd/JE2pFVpRic8+LxVF4+atIxGWU3JU3dJ4lHs+bxE+/s8NXHmywOAyLp0ZeSIO2hzEY+5HZhWtfjgGTIymgtJgW3KVV6Ft01XjqFKpvlmIFdSZEyuJNEehzgGXtL68yCdCUhl5wlFs/kxYjkHXtd6jUY7QUtrxLuw3m4zbM2zRh+5K1Hacxd/VMkD91P0v2LnMHvuH8ftWrAY08scfDEFLMzPqEyzoEo2XNrSYvsl44HjiPSZK2LYg39nY19K0uU7OcZkLMOmRzYUiBVMX5MlUDtSYmXShIvB3imuU0eVPqeycHte1n9xSh7+yomCCL+5Gs+zx2qgvSRUhLKwrMftzazL/iC1YQlNs93qijJlMS4lrMk8bliV49vf1Wb3/9iBeOF9GVAKEWe9FFSEItsBPJqJhdlJi95y+WaGKNAWbcqGCscuDML1qSTysosnjom+feWdnS1TzW4LK3+iFGwU7oAyiw9SpS2+LfSOW4uqeP+kUw8Wt06W6Yj6o1D9BcDMINComyYbFCrBqybrjE3IZkKTFr3wEhPXvmqHAFuCbS5LFkDyMW/SQ9+BuYM6Ll2TW2vTJrkrA1Cinyg/doAlwXAVamG2kvrUnxyKeKrwi3xS8OBCs3t2Nv33NSq5ZbhL+9usNAKoZK6JyKzB19YoiDG6idL1QurbLvMMsz2xNGKOPGYair+3mt73P7AgMVuSKQ8+lqm9qRI3RtRNGPneYtCh1tbdP2YnM2Ljncvc1ZU+lymryVOj4sC5FpmOjw7V7Y02zCzDMWILgebO0trMXPZKy+zezZ8SLoP7n6fsRhp889ujGQwmGIg5qgxg9FDB/Ann9nPhnXTO77w5Yf/yd3zp9jYFHiezRMIZbtuZNldS66MA3msQXV0BSgt4+nfzRMkEiTFMMgyc2cjkcuzv8sdLm64O6PgznY2yJhblZh7FYNn4yaKkROecpnLI0cF+49VMIQI6eXNuUX14OhEqJFOF1HArZztLbfwlXdOyBwVY1ywifW4ZHvEro0DFvdWsTpwLK6dTPFWSUk7cozz5oKsjBbSWqJySyEYWcz6HoltUqC7mZOjuYnsvOTaWBYXWlkvgygxvCixtxhj79JQ1VTyFKtSpu3d+yrbBCBRWKvoxctsCCf+yeymG59cOr//qGeMpj8YbBDC3NZpLTBZC3MH+4UCptVyY20gU/o3ObOPBZKi/GVWae9srG/G4qPAzh8V6Sjgsg9evqdbWqsyuEsgT/er99PS0Iy9Vfra82KUivn8NxocWKhCUMgTv2RdirHjNT4uYi2ZYlYFnFlGc1SLR5HHBbMRb7mxxyPP18D4JNppcV+nQz71qFTKV8ncrM1sQ5mOWls9o8bI9LlMVxWZ3d1kYGlsDnpdyklIWzqnJpOatjinI+6KWCVPVkmYTJsjEGbs72V/x1gSYfPJAtYGRK0OUxvFbUky3KC1OeplNpEUWdtWcdBZA9ijV9fY3xlj9vGflUtHi/9XjAA+K/vMAs389RiwXSYzc1FKw9wzUEtQ2V7tqtifZgTYXjEgKB/x5pkU5ImTJyqmWov4xj7FX9xdpz8IoObhSYEvRqXJeIC5ltM0rlRG9PeYZVj2xePEY6Lh8fZbBnzxgR4P7wuwdZ++DvEF+YWmhBgFQblstQTyssHrgs/0AlOOzbV0ejwDuJZFwOle2/z86BEmLxNjmclHZWkhUbIYJQN2KkfSFYgXAP54EG9xxy+OPUxWmQh4RifoJEaiqQYCPyjmdZdva7LwGFOPMrhY4701JEo2HizXawWgM9kiS6DOn6fAllmaXpYCIsXIcEnPK0Yoe+kmTJ4aBbqfs7W7q9Q5CYKIONJ88cEazx+vge8jpCIQ5JtLlYNLIceOz9jKlh35nLVJh1aOTwArlYlmdmEUeVy6LeFNN3d56miVYRKgpU/fKALN2GfJvHDGGNw92pHPAajsYjMYJVDZzBopsMoxdCZd8thHgrQWYbIZLe55cR5Lg0dLsZvM4xJbvD8SFFOSLaNThEXKnKtII62tH0aG4dAQRwlRpPHuvPOL+J7H4nKLyUaQDj5MJ/aXAb4GiCmBdW22LzP4as29SqrkGlbkAWU+XUk6TV5Ik5JVmDF2DvASuNXofHDH2DZnai9/LJ77aXDpqZgwiHj2mOBLD9To9QOo+0iRVQ5SsgfXyGKOybdy2JfNhSX1oNcqny3mmqi826fRiHjTTUNuv3fAU4dD8AKGRjLQqaNiQOlM96afQWcMKFxqupwDLwHdUxTSRTo2z1aVTHPbVI5kQM88cCNH5WVZrhQ6fAwD4xL2xd7PQT8akGaf3+1cJxhEAU8++TTP7TmCNRqv311hqARJFBH4AhL3P0pp87TyCFhLhuWLgXkV4NeSKS/A2iIHeVmiiDw9L0WRzSyztptulQHesbXK54OPgTu9+6X6Z2cPJu6edu0kVnPH/VW+/mwVKh5I19DsZ2nyMqgZu5dfrCVRSgya23Z5c7lI5/TJEaAPBz6vuaLHW17Z47ljFZLExwpFX3j4mvwzCV3SviOX1momL49zUKqwDI016WvhRvRJ4aRK5vdnbG5Fqrsz1h4/p0VMUtbRiNJQpBciyFVKoWD20QvUATxOJMvdHtrGCAxePwZp3DxqbdwXVwLs2BqwlkTJOSmPbtcOPst/f+QqliK3CEe3zxAFO2RAVwWzF2n60l0V4M52dcjvXrEJagZovwTqzDnx0qldnpegVEzgxzx5VPKprzWAAKSPEAo/T+7YvLhq1GnKltD0ZCDGAEZRk8JY0VW5hFa71j03hVbl6XtrPd7zuj5ffnDAo4fcJIHYKHpa5HXzUpCm8EW+XhSfqPgs1lonT0aA7ko0ymwupUSV7Mwc5CU2z4kpzS05yTK+QheSY4QkX0QBfDPHrtwdpJSlWjG4bgWL9/wJjU3neofWjdNdU2NnQC4xU84M47p7FdjLpaMlx4GCrcu7o5WDykJ3lzz5EWBnuzlk9eBp9Vs+AL8A9whrlx6zxtpMqiiV4PsJsU645+Eqzxysgu+DdMFlIGxpcmyJwfOLdLUGH4eWLT3JS2dLNSIj1YVaYlTqqGiPYeRz+a4Br7nBsXhfOxYfioCBAU9nwV1ap0Khx4teSfcBylvDjFiXFqQqPbfGSRWbEqAVSFuwuMglS3pMbInMyGpkSiv4CJjtKDHkPx8NNNc0MkoYldLtdjcz1aFacYThDfoaMEi0C9i8MTeAApjuRbbkiRENvvqqG98galSayPL/neu3kjzJQT5af1KuKsyBnbG2zCY/lfV3Cdylofi5e1K2AzN5olzV4IEzgo99scEw9qHmp/KEvDUtK+EtR/VFwmtMs6zSJ6NAL8sUU95V2K6lxT3qoeT739Tjjq/X2XfKXXzaKHra1fArLfJ5ggiL0GmQpkdXEpsBvcTgyqZyxboA01pnD2bBvZUO6NKk07Vseo5MCeCy9Jit3IZRxhZ2BD8umTNKmCNWYi5NBGVP3P0e9018z9CoQr3mzBL10Q/+v+unGt5/Pn702CV+OkohH7IuRL7FXBE5F1nDTBcrWUiJkb9TzjDm92L8r8s6Zq9lkYksuyIKylsBqnRkgp9p7Syg9OyIY5JNgCqD21cWz8+ylkUxVdHQEKePEVpG/P7nanz8S5MQhqAqKOVRU5aqsuk4CvIGZ7/UGldkUsvHQVJMhmUkQM2+qyxlRLOLVkjSxt+iF1JJi7CGrRsiTi1IHnsmIEmnDpi06TgrHxhd2gs2tBlJjbhlonTViZzNRy21Md0+Jm0MonivdDdrPi/6LEc3QlhdxjBSVsD4pgkCm11YQKIFE+tesWF28+u+4h0+cnyy1+u82Vcx1dDHU2XLbnWwyNiSQYnhi+VldFRCwd7j29SVnZQiqTNeKlv4zHZEnsg0qJSykCSqpL1VvkePzYHuq9WSpPyoVIzvxew/LfnkV2u4+SuOvZ32LsApBaOlDKVltBxoivKLXJaMgcOUa0OKuYLZnEedjU/QCq1SLa49vvPWHp+9p8aekz7ICCskQ+3To1S0JkDoFKQ6S/xkYC0xeZb8KIFY2bJMKd0zGWKyufAiDzytBLPKJRsNMs2auluMrIIFxuwqhZBhR1O4NUa7uGUYxUy2em9GnJj0rI5RIqFRdd3lBVDHKuLyE1cAvAgSRj1vGJM3LwLq/PmYvTTe6JBvLpUGL3mgWQJ2FlxmIFcZg5dkiUqfK2VQXipPvAQlE6e9VYJWCZ+7v86eA4X2FkK6hEreQcOqE7jK7spYc0yljPJh0YBczDERYwkf1/lezAhxKfwo9rj0wiFve2WXQ58MibQC4aGFx0CI1FWxae9rKlGyczjadJizt/PlBco6C5M8NrA5uJUFK6wb6SAzwLu/Z1KpUrYLM7CPl0SvFViudQyzTzyKMZtnijOcJQKixM3HbHc1QsV40xMBOg6YaHhkdQoji1Y5yOTFwTzC3oisSnNMf6fAZkyniRcCuB1zTrJ+TJuz+Cpgj7wuAspMa+dbnEiDl84Vzwbn+37M4TOK//6ZJgPpwI3wSl3z6QpSqqAbPWmleOVFbqPbJBZe+Pgs9UKDp3NTlEQZhTYeifYJdcKPv6PLn99T49BpD2QM0iM2Pn0hULpk32XBZv4B7cgHyrrZRzr+U7CrsuzIAkprkFZghcUIkQPdCIEwRbHcONDXBPdaZLrG64JcxSpsgitEGAwkS22JkRIvG2cW+sppOGPz7Fr+j0tMxBiYx5eMcaBTArTIJMgI2EefjwaWpdkf+QZJpJ3epEMuCxYvwG4KcKdAzkE94nen8kS6174X0Y4MH7q9yanzISgnT4SUhTWYfU5RsuNe4EQV7cbfBOiUNGm6x2R5m0WXbCnYO2+GkG6k2ea5Ie/79g6/8rGAVuxGHVshGRrlbENdBGSkM96LdaUE8hGHBZC2xPOuitCSAtoKpLXOOkzPkU1rVzIHxwiLTFl99fkedVPWypvkTD5OtmOP2UJkcdJuGFni2BAnFm8QuU6QLOjTxqaDfFbfypq6/N6oo1KSOKwG8QsBexTg5aE2ReIgA3ZRnupaqbKif5UD244AOpMjuURROv27ScrcLmvphTGfviPkg3/WZGh8J0+EQgpJIFjdVLxGWr7QkqU3XwDi1pZPTimjSclRKbO5KZXSpq5KYjwqXsI/eleX/ccCPvI5p8VBoYVkYFzvptTZeSoXYGUny5Z+Z2FXOg1uU0swfTQ2zUmUtHkG7hKgC9YuAC8ydl9TpohVIKd0TF8Q2GPHM+sr9dPNDLyZSUALahVBYtxveKHBPbk5v4rJSz/7JsvPCKDlONhLNdUjWrssU2ze6S1lob9lSZaMg7uwCMu2YFJ6dFnLpWX486/WWB5m4HYA92U6GyZbQaRd46IsattLi93Yk1F3oMzgjLkCjsFxM76NxRgzWicunVQxxg2lnAg073h9j8/eX2Oxo5xUMYoYj14e3KeygWzCb0l/j8uVEshlahli05Q8zoK0slhxsos+a1Avg9xmVirlgitbxHmIvNdgHOxr5VvKMWD5lgXn/YFhuaURSuP5XoInE4p2oDUukVX/sVh9hb1AwLDq9Xh7mix+b86KJQZXWd1vJkGEHbPUClAXgWYJ3MqkEqTYhc0r6/GUvf1awh13V3j4mSom094y7bkUmTxZPZxoVYBUXmK/KYmn7JlbYwVgRpuDCzZ3KXyJsoUvnmgfzyS84oqIt17f4w8/H4CKQEisEETGoy9EOnOmnLov018J5NINYsoDzyz4hLQIy4HT2PR4pDo8K7HNgZ2eb2PHV+tS8im94IwoA3u8pDZ7FKPgLj0vB+kIi7UabRK8A8c1y0uapbamUfNLHRcl8llLB2Xvr2Ly4u+NsHP6d8qgGGVBW9SB57KkPAulcEoKRyUDucmzlyrT3GV5km3cpHT6s1SaSOeehH7MoeOSj93R4GwncPtdSzfoXQmKHRvGPvMqaSIKzb0We6/CVPnElJh91Bce20C3VCeuZPbotj9ZX9f8wFu73P9MyKFzEkQMKAySoXB77UiXwc5BNF5Sl8kkR+QOtKrsbUsnQ9yjY2ebPmbgzjW5AGFHy2VNfpyy4iubg3ekN7NsPeeEakcwSMb2FOdCSsF0U7Jzs2J2VuFJ4SGFKq6Ikge95tUyBvZVV9maTD7uNJTT22Od+3kRfbmpFZfgECXmVnYVixfz9MyI3i47Jp5KUFLjpbZgEMQMteF3/6TJ1x+vpqlcNz1XSJkO/izmr5SbCVZVDpaOQZkk8pVuDNyjGcyiyrDsqJS3XyzKaF27mQO7QmtDIj1U4vGaayN+5D1tfuF3A4aJdBkoI0mETx+XmBNk53d1ZaEtvVZ5h5vNy2dJQZ6X0uba25kJNl2Ry0w+2vBQPDcjK1+WdSUHc8HiKbDXZPAss5nKRMCSxifaw5ud8hDao1ZR+Uw/WT5JY0vs2vp7FPDFybarQC3Gl/YSY5efl/eeL4bMULC4KMmTNNO3CtzS5HJEpckcWXqtZIIfJHztUZ/Pfr3GMPKh6uXa2xNu/rhX0t0vVhKbPS8DOneT1qDvshOd7100Am6wilH2tsXGVdIolDXpoB7XgV+tJbzjNX3u+nqfLz+qQMWABCFJ8OiNgCoD8xpMPl6nkg5ezSBlhdsZTaWxh82Bn4HNptlFJ19yN63UizkuYc0qXK1ueig+4ej7QhSDOaPIstgCoyxef2AYxg5wWfp7LU+yWBLGWCm/EOzaQB+52xH/u2hpWg1ssQrc5dl/JamSz6+2o7IkH+Cu8+cyZW4vBXfgx6x0LXfcX2PfmYqTJsKVxObsncYBee1JvvKMSZURbVk+Qi9+sxlaSjXheSMEWSZz9ZDOLOjURiKFQmuNlB7x0GP3hpi3vqrLw3sCWlGafjVuJ7xYKAYUtmE+YmINkGeAkpAWWJEmfIryDbfDtas+NbY4j8YWga0pAb3AVpnVybX4C8V2Ix+rWAMpl88K4Y6RsK6MohoIPJFW6rm9agrwldl69HTZVT9fi82zL0cmdyiDoShSKrP6ahY3BYuXQD4qTYr6jFyiyALo7iLQowkd6TrlDZo/+HyVD36mgRWZNHHs7bR3OpJNjPrza8qTEa1YAvmLsPcIQzLqhRd14WlP5DjArXTdN8YlNLRRKGOItY9Uhn/09h4HT/t88LMecZKCPJU1QyHd3EEKkDPmrGQSJLMQSZsdMGnAKch7NzOGl8IB3cWgtuSkiBKjFxq8AHAJ7CNYKj7PC2Gy+Nzp7zTu/9bpKuhN192k0OWG6zAvnYOxJ+PifvR5WUut1uCjbC1KIBFyNcjH2VyWmLwINM1ogCnH9bfOHRNPpuyduiZKxvhBzMGzks/eU6fb9aHqEiRuP8hSWn68La3sApW/+9hzKBIZ35zBS6CHkhYv3U3K5HKcyWUBci2R0s00bNQT3n5Ljy/eV+XgmdRjdT4KWgj6I1FBVnq1NpOrdHVRNgV6tuiIkp0oC887kya5k5ImhgoHbZTJWQXuUmKqDOwRBi/D0+bHTwBJkrC8EqO8CG9ywkdYxWTdgnBbXFjjqsJynTi2chVXkh1h7fFAq/xFsqC1PLtuLWCLPJArD3csB5cm1d+mFGgWsiQHd77tRqG/s+2+PS9hGBvueqjOV5+ouuHgJfaWApfYyWrQSzNH1tTfovjOlJ//FW85m2dAH79TMPho931RSiuNRAuF0gYjFMnQ4/VXR7z+FX1OfMFnaJwOd0iEBI+hcL2XwoJIm10yaTSS/BECVXqtMvckAznk2tuKIpuZMXpOcGl5C6kvD4z53wXgV+FpFOYlgnB/N7dWjWUw1ERaYfDxJqa3rSTJ8IuTTfX34zgh1pJEi2LyaXbwy/guAXrksSRfyky9lqMy2t5UALuYCV5MLl0tUUxJnpTYO9fapUBSFcCWynXqyCDh3kcDfvWjE2jjQaAK7S1kPo6tbA3mA3XEqG9fZm/Gnr/AORmnn9XsnckUCra20pZkipubIqUZZfJUqgjjhgUFgeanf7DNvpMe9z4iMYFIWdwFEbFR6Sbv4x1HBdjdyQRM+joFd67LRSFRnM4mB3KRti8K62xKjNl+VEaOTmkYnSCbSY8CX2sevnTvIW0scWyx+DSbjS/uvnDbivrOb5vsmvj0ocA3P2KMJttEdERmyFKLUqkmpFwumttoeVJmvCJwNM2e/z1V3vORVV53uUMnkyReKbj0ygyepuA9WZYohTRxMwZjTi4JfvVjE9z/RD3tswxAuZY0TwqqEirS9XX6Mh09USqTHa3lLnf0v1AtvMynb+UN02L0+JTnGqqSazSaIyjJupSQR50pOzJKDQuzMwmhZ3n46YCVfhbdpyBH5lPER+tmivfAMbwtUFFclHY12Nzz9HJZozR4BKplm5SiuKvIDdg8+M7+v7XqzI0FrS1xAr2hwYiQw8cXfuDr33h2n7dhtoVS0O3BcOARxarwM3OJstpgH7EQ89djnS2lJUhmEXnO7KZg7+wE5VqbQqKItdlbysI9kbkUKYM7ey8thZWu1lsHmo/d3uQvvlbHVjLmdu6JEEVRlcy19wtZg4U8yV2BnAnHbmvoxvFqiMxNKSr5yt32RUtb4YXbXJPb8TETQiGNQQgP2de847V9nj/s8/4Pe0RhUgI4WHwi50CvyeTWupOWSxSRJn7KLJzVo5Q0d2ERknf8lDX56EpfZurRWZeF1736OGYftZgpYxnGsNIDncpn70uPBCQGJqqW2ZrrTLYl9s6/qygOyXiyZ/RxVJfnGmsN3T363thA9TLI0z1osuKq8qZIKt2zMd8NTOliX8fSo6cSpNJ89ZGQj36hwUB7hS0oPBBuE9Os5qRcWDXyGVnLHlzjzvjJeCGtUsiRcplq2S7MC67KAacsjXoTAplKFJM/KowwaOMR+oYffEuXB58K+PITdWwGcCGcs2IFQ5tNkEoD3MymlDZ1ThzIkS5GUyJ1UIwtCq9SkEuRPY4BPTsupU57p8nLO0CUHZQxM+NFCEOQdlR5kpdfkLBuzskV78TpSbSB5Yommo4IfZFuMJQysiz9ghEwv1AgsMYgxQzU5aCzNP0/38goT6aMg70IJgsGt6OaO2NxWbIEM+0tE5QX0xsKfun3Jjh8KsSm5cHjWUtfFL53JsHUWuAt62/KgB47Iy8iyMc37RpJ21MuvrJrLM3j2U3rwC0yFpcIoRDGQ0aaCzYn/OwPtXjwJ0M6gxRhpvjkBsUw+4JmVIsjbd5xRJq+J9feRR1KOuowr0FJy0JKjJ6udHb0eI7g6IWYfOQCKH5QltKBgo3Tkm0zFWYnfVcue9XFcyhP0W53aa3MI9PC/sK+W+2UZMBd8wobkyqjmavR6f/FVNLy8zLITQF0aVGi2KdRpf62HHNL8ougnK30YhINv/3pBk/srRSed3ZPa06y3eTyrqG1gsoSyFcjPKuUKyd7MrCMPy/eKrsomTzJ0L56bmFqFRqBESmbC/fc/azM4mmLm/CQxnLNJTE/8R0tfv1PJol09qELsGupGGrcFT0O8hzEqVwRpUBTpvNcSt63tEVNirSUAD7aQZ9jaw1VMIK3FwB/9v94wvXChqEgtk3agwbaaLzrb34T1WqNg/uf56EH7nS6LWOv0tT+UZDbVR+g/HzU+llrplw50TM6sX+ctaUwjDoqGYBNCdzl7GWqt2XRhqYqmi8/FPKRP2vQ6vsugyNeqOakpL1XBXJj+nsVxsdlyBq63I48rHpvdBDQeAKoSNvbTHsbWTgsWWmtUBhtMcKmySCFTgzNiuGH39XlsedC7vqGglpKtxkqDTnIxRjIrRB4qUQpcuo21eQZc4u8xiUDtLWjpbNCFKy+tvc9CvZxObI6GeRKCEwKPqM1N97wcq644gq63S5eJfQIQ59qRVKvuN0Nyk5GHgiWLqNVon/k6huVLnlAkUmUFwB2YRmaHMwiCyxLIB/ddXc8Ja9zNpcpyKWXsPeox3//VJODi3667326FblQq9m7JEtWBZi8sP5edTLECwecayV2clciLVstg9rp8EKuZEFVvnmVFYh0q26bzi/JrUPhgk4hLTI27JpO+PF3dzh61uPAKYH1SpdoKp41kqEhBb3T4r6wxZlPAWxJ67hThi688WLIT1mTj+RELCMMPj70PqOL8XzCKLiLLDnCEieCJNGuh9XzkFK5ljVPQSW0NOuaSiBzi67Y5BOKTT1LwedaIB8BuB1h9UKejG5FUQxtL1hbZPXXI0xuRhI9RXBZBnhRCuuHCWdbgl/6cJPPfq2G9UsJndw5ESXtPTrAcmS+34jsKrFJdjLKx2GMdcYjznEHpfzeaNo+1bWyFIhm91R/S5uOQs6li9vpzAiLNqkOF2C0JcHDl4Z3vLZPayj5qV9TnFsRbn/2jMkRID0SkzfUFql6Y3Pd7aW6XKUBpEyZNPe/SZPoltEaFJEOcC7JktWuySjeRsCdH+NSx1jmohhLHGmGkfPFEwOe2zMyOFsJ+NL6ueZtg34bqVQuE0a3mlj7Nh50Zkxe6KtS0FoCeRnYI8HmiFQZ20ZamlSLmxzc+d7pqYMipfO7Iwyfe6DOVx6pOd2tUltQyPxRpeB2Q+RfrGIwC5RHA5uRE7QGsF80ozmepi9nMleB3W37J/NgblSmGGHz+YHCZmMcJMYqV5glJdJKdOKhPMsbrx/wtlf2+PgXJFGS6jMpSkuKA3kWPAoK18SmX1alPZsqBTMm1eDpf5EDXZRnhadffYwkXkx/r8Jb6QIQgvR7w1AnTE5OkxjxpTAMzoqOxFu38SKeefRTR5UX/LeJqfW3xcNFNylBjOrv7H9eq51NZGdLFDq02DZOpB9mXJIwAui1AT4aVOZAFmY0oMz9bo0SGk/FJMJw+z1V3v97TU4u+KVsZRFYihTco4M0R/ebkbxIeWyZnNeSay9wpNbC+Ig2L8uTVKKUg02DwFDMFRc5y48yuDHuGDpnReXecDw0bJ2J+al/2KbVk/zF1+vEOqPXbMl1INdGMkyLrMI8uUEuXTIZkgWbkvRnIv1cInNTSrUpqXYn1+OlY1dWBmtgbbxqJFtdpYQ40ly+ZQODYfTfPn37V4/+xPu+0+3RE0UJyki01ijltrPOKvnG/9MX6tcsf4TiA2fAHgtWZQnkYjXI8x11RSFNivfWAnchT6RM8ALNiXnFRz5TZ9+hEOqZ3i7fR9k787yVKAF3TJ6s1SidfdlcqmQnR4ydiOxIloazrwZ6qRbE2uL9vHyWUoBZAj1lLe7GquUFWVIirJuWIIRCC+NS+UPDJbtifvCdHR55NuDofOlqNumnXgPkRgrH4tKtKF76/a20qNwmLOp2iuRPGn7YlCBGgG3z4HMVF5QAP5o9LeIBiXO+EmPRWpMkMTqJcZ8e2LjlEjy/SuBF6MFefC8uyl3JAp0yo4g13YC1As1sKfnmGnzU+xaiqDMpM7mUBbilzCRJdndjj5fakt/8eJN7nqikVYJZMid9LlVuLWXsnVuTJfYWjNZ+j8sRSq/LdeBi/IC8IBWMkUaqR+xakiULMEltt7HiK2Nc7OTswzKLG4RwgaM77gqdko7uWV579ZB/+r1t/uPvTbLcyzQ4qZgm1xTaSIaZghHpBZei0kpQWcN6yuhGiPyYlgPMLLMpSo/Y1ZWXWZw3nicw45IuD0YtUnjs2LGN6669kk63VwC8ObmBxsSmu5ZOfeFXJ5rqpzA9pJQl7TdWyVYqT7S2+GT5hp0Zi2Wy5QU0eO6FSwfoItnjXquMuXMWNyPMLbPAUjjmVkozEJbf/UyDD3+6QUf7rotDZKWwXo5WT4xWDOYSRY5pcOwoo6fLdB5f5BdyunpRyoz9VW7jBVeZi8JatRflKbRZ5w8I42ZDGuM8eJMOxTS5ZHEfzwiL227baXOdWBp+zI+8q8O5RcVvfbxJP5MoZa0lrWPy1F0xWfGVSDvrjc1jVJXW0mSJnowYMwyUs+SjIB8DePmaT5+Y0jEptntJ/56xNBtVDh1f/NV/8bJL7jp87HQZ4Js5/Ni/6gVSHVGNBBMPsKg0QybyfWKyA1bYV2X6KZ1syJcOXgDYZa1dBJ2msAdTJ2UE2KLE3Dm4i+fWMzx/IOCP76rRjtMqQdaWJsEIexcFSoWDslqOiPGTUwJ3WYtnFuE3IfBxfJdJvLRCllbOEXCXS2fT0Q2po5LJEylc8CmsdYGnlQgrEZkeF5YkMTTChO96Y5cvfSPgyf1urkkRLYrCyMbNIY4yKVKWK4CXl9S6GeEZm9uUGDKjMV3Yv3mQXgJ3xt7ZDPUkdUm0FSQWkkQgqwF7jq0cecP3/KfeV/7o3xUAB9i46zsQqsZw6Q4GS/eQmBpx4pFo1+uXCOtALtKUcKYlS/hexdyU5UpZh5eZulwBZ9LgswgmnTTRqTWoEaWUfCZLpExQvubpwwE/8atTPHMgxPqSciq+8L5FUWsiRz1v8QLAZuyxLEHKQBbjwnvtF6tBXmpZK94r3i8Df1XxVcreTrKkHe+4rQGNtTm7WyFzHS6EReZBp0VElqsuivnAT63wI/9J8MzBNDjJ0EmKrpTJLZIY565kmpwU8NncQkcWjs2z6yOrS5FpDn+1VHkBgOfgdoydGIiMYKBhoAVDI+h1I1776gv5ke98Da1un1UAD6rTCNlEVgVqsIxBo3VAt19hCFi81Jd1dcgiZY/VZmXZL88sxtVJnRHtXdbgZeYWttDcwuTgllIjZKG9PV/TsZLf+UyNJ58L0d44a3t5L54S4OMsQU8UsUHulrC6ln2kwKrM4i9gmYjyny+G7bVcglIgtcoTT1kw3zenVDMus97NVPu6+YApi1uLMGkZgZFIIdHCglEYnA3jJYZrLhvyY2/v8tO/7tNJ0gM1st19EXhaJAnpz4UryvJKromikCj5bhGiMGpkpp1T+ZJXBPBCxyQNpA3ERtDXglYs6A000g5h2GaiYtm6aYqVlp//2xzgUgbgVQ4enZ86dO89c7uqlS7XX6aZqpFuneG0mxQu0Fnr5I2k8Ev6O2Ny8SJAzwAtxKhjUjzqkjwxuWvi+Qk9I/jIZ+t86it1hsoFkaPZykyqiDSwTPeVzLQ2perFLLgsAbmwAEeDoZF6iPIxERk8X1yo2Bd4Dpk0KbF6SYuPBJ4m64/M/o0owJ8+F6l1KFMpo410ElJYtJWQsnmQJLz79T32HPP4yGcadGPWALktgVwQZ5alcbMIvfTiypM/KXNLUZIoWW1KdgyzF7aQs6MAL2SaST/CUAuiJGbXzBLXXLLE5rmASy72DnmqcjDwo9UAF/5F/Nxv3v6lMNz1iU9/5oafPXx6P7fd1OFX39dByRr5NtB51q4YzFhsV5e9McbiI/p7LRY3hR4ftwfXBHeSZyw7keAjd9T5Tx+e4Pyy75prxRjIpSrYW5D3WWajhce34B7X3CPDi0rAH9GPa1zwL07fBTuNMFWuuW2JvUoBaFZSywuD2maJHzEqYXTmkVuJMM5lAZfUM8aisWyYSfh3P9QCCx/9XINOTFp8VQZ5erKlAiTaCoYZsKW7Gt3/nO6bk/r4JgW6FHbk8s/4ILdaM6kixo5RSc4Ya5mpdfmFHzrPrVcP2bBxC16j/glrb/+S2vr9qwEOsGmmwmSj+vnpueq3n1pYd/X9T9b58iMer74yJIo9bHkZkdmCOaq5i3M7msksEj9FncmoFje5mzLC3tKgRKa9Taq5U8BXLH/x+Rq//KEmZ5c9B+7cKVGlR7dsjyZ1UnCLrMZ7vN+yVCRWBnXuGJWu6PL7a7D6XwXka+UXCm+8nPBZ7aSUKw1Fuvzn7D3G4sbINNFinXSxLqXv/pUiiSwbpzT/7ofbLLYln7ijAZUkTe6UQA6pheOOs0l1uUl1uVciQJuNmciBXtrLqMTa4z54DvQSVygJFWmZsvCaaxJuvnSCJAk5Oz/75ISa/bxJeiPHUJVffO7Tf0Dsbz8eiOSGqXBw7c5ZxXRjkpmml/u8IgdnSb+W5gsWxVRZq1Up7S5KIyCyehKBY+01+itHwa1H3ZPQcPCUx698ZIIn9obOMZEl5pbFjBPSTp1AFjs0ZPagJ0nb5orWu6LNrtROlgZIxQiJ4iSp/Lks/ay0oZYQxXtybO+h0u/LKxdLM1dWrSylmTKyfCGWjn0+2y+rIyL79za/GMurT24OZErBWCYmDdXQ8uDTPkvLstBsjNFrcbm7eIDMCiwC1Iyt8/QlxaqU/fssYZVf2OWVLZON6XmreJaZuuWyLRWUmCROaiArdyzNH/7tC676iRGAjzA4wKuu2YqQkhPHYmrBgLkJRaeXjUpzbWbulxWMXGbt/OrLX6+tu0delwLK3E1JwV22BWVqC6rAcOi0x7//wCRfe6wCYdktGdffDnzOObFFp075As21OPkFO5LoSdGQPy+zzBos/r9yG03brzFhqqS/DalrYikclJJ1WGZxW04Ape9lrC6sCzhFERJi+pZbXz7gF3+ixc99YILDpwMIUk7MJcpa30CiwfnlAjQCP/X5smOsUtMwq1kZDVvEKtmS63JLmmm3NCuChSWPZw767N5Zpz67s7RmvAjAv/vdt6GUF9115+0sLxygUXPp+wyUWZtYZu2VT82oS1YKMscCzcI1Mfmj8BvIYAAALVtJREFUzBI9LwJuKTTKNxw97/HzvzPBp+6qEYm0I1ikVFyWJlIicluw6JIfL4UdlyHFBTuC5VGmy/9dMQJ45O+V/50o/u2qBM4qdI+6J/mPSvUpRVaovP1JKeDMGDFzVUpAz0DtbERSd8WB3FiVeuYKbSwVT/OeN/TRBn7utyc4dj50QWd2y9Kqqy5SiU4DSU/maECVQC0zX9wWUjD78iNxDVkQ6oLbrExYG0t3kHB63rJ56wXsuPhNUZIk3xzgG9bPEVZqP/myK7ZedvzQ0df6sk2togn8BN8rd82UF5jS2cneWQPYq+1Bk2vrLNAUGZNLgxRjzO0Zjs17/PRvTfDpL9eIZDZrbu1aE0gDS1kaoFli7zVHW6wRZI67KXlsMYZNUToaRfxROiSscSsFkGW2zsFetgjXakguBaXlqbSrNPgqzzx7T5ZW4oLBEYokAd/TfNeb+ngKfuY3Jzk2H4yiJvXAHdAddLGZLhfE2aZUgE/a15leGyojiPwSGP3u5eOshdP1IhFIXDm3tQblV2lObbl7/fpNP7nc6q06vKsAXqnWObz3i+3pSX/fcEa/WuiBCgNDEGQz/fQIuMehnb3jGGs1wAsJUgJ57qIUrokoAVwJN8z89JLHv/vtCT59V40oE83ihQBetDL5YnzGyai+HdW5BaOMsHvpnh318cTQqD3417+NJ3lGDnJ2QVDOYGaShVSm2BFpYoUYC0RdF73BImTpPesCT6xCpOystcVD8+439Ek0/NRvTXFmyXdsUb4Zm0aFqvT13TzEJJUrNgW5xVJ4cpnSWX3MyquYxPnfibQuc2lhEEG15mlUZd8nPvWl9ve+503fHOD5r7LLP7FhnbkhHvSuUaLoWs90dr4Mkp2MLHgodtUtP5ZlSSZHitdj4BY6f66Emwib+IIP3V7nU3emzC3GwT3apVP2vIsG4tXp+LL3PUK4GWOPA1iwSoaMnBIh//r4tqsxPTKMs8z2Nqs6pKg0zOs03ADKkV7ONRwVrAN19ihMJiBSUjIqzXlYPAzveVOffUd8fvUjTZfkUfav8KUcyPXI13QrK7boyM/j1vwCTuedUKo5Ec5m9BMIYjezZlI0nj670P2JDbONNX/7mgDfecmbaZ38gKa53UatA4T+0CUFNAzj8lZ2xfNMBzIWWDoGLxdSZeAuWtMKOWIKmzDV3FIZ8ARfur/CJ79UYyhVakGsJUn+v/a+PM6Oqs73e86p7S597+29O52ks5GQEBJMSBCXCIgoMzyF+Sj6Rh3eYwZlUNHxDY6iPhlmEXTUGZxBZny48XwzjKIIyqgIowmgEnFGQJaQfU+6k9773lvLOfPHqVN1qm7d250FAvp+n0913apb26361q+/57fSCNxqYMmIzDSJwA0dtKlAqjS/jjh5o8ZuMItqc9KUjzQHdlbkXGJqAHeW6z4ENxeh1haa1iYNFEZOYVAdl+1JiDqOylbg8j4JLmBB4K2vm8YvnjHww5/mpU6bVWyZpItBaq0qRaEbaNTv4gA8ISmOHw6iieAQHpeoJwRtOQOLlgyKLUP14INX/97sAQ4A+Y43IAim7hweemzpvj27CoQI9JQEFvQRVOsWPN9AEBgIQrcm58lfmhxcIqYmKbd8EtxBAtzM4CAG8N2HHHzolhKe3mlLW18WuHVqQhGloTVSE9GUpuj0JMsGnvh94Z9EoJC20bHiO7GcQDaJt4giDfW2J8kBqE5flKWFgCAZnIU4MSL870s0JxC4jDrkHJJKcgrAAEWAlYs8fPYD47iOAfc9lEeoPY4L5AaRv0kQkRirKnDXw4AqcB/gHoRbx5K+KnrKHoQAevpW4rorL4JjW7jt49lnbQpwI7dI3HHXP98yOvbqa750p1fwOLB87gSu/58jWLVwGpPTuXAkTrWH2ZjeprQ1iaIG+YzgVrSEGMA9m3K4/h9KeHqnlQFupbEN7bMcJinLSZb2bhodSNQ1pzQ1SQE+AnG8Q4LapF+EWYBbn2cBXp+gqKH+HdKeT5LQ+JEVRWUBRXQlTJigJAQypBMvTI/joQkxEhdYvsDDze8dByXAdzfmtUHm7EGuKw8Rgpwg/i8lEzggI7qCOlCrYvXicXzkigmcPpegXidwuuaN9XcW/94wck1PbrS6nPnz1iNfGIfvb8X2Q1N4dk8RUy7FX141jJWDLvzABAmSvRTlQ9V8cCQG9mw0N4toCXDPQxLcv95mhY6cVoNK6SVRHssov5JmmAU12yrRl5EEswKoDt50dGGWkNS8KbhbYEJX4upoUSXX1AYSB2EnBS1GhYeMMUFLoAGeU3CmOLiiASoSETE9gQxyikZfLsfKhR7++j3jEAL4XqTJZ/jBBHKjkFurgCzdO0zCgTpRUYwiADwPq0+bwF/90Sg2nGWhVi2i6vagd9GZYybb9c8st7zlK9VU1pzeW+8pkasvWNc/NdjJYeds3PdoGXdvzMEN5KCQCxq216DJf4MxG03ld4qWtIRQybnveySHj3y+hF/vaAbucDni3fKnqFBYAyGww5uWcMdDixzUb2yaliCkHQlKnYRtK+fObHRayx3D0Lw49j5FR3SKAg3AauIpWiLinj9RRlDiuWljK07jZUEhBJPl4DgDDxi4C5y50MPN7xvHxa+cBngg/fQiaDLxeAp/Itd+snomLGX5ghAwTQ+XbZjCResEJifbsOdgBUerK6bGppyrAza/3upWtgT40ZExvmLZgs3vfMv546sWWmiza0BA8O2NBTyxg8FgBL5vRHHjQcCiG6ieVNw5i4dUhUeUhWZobmEQ/NvPHFz3dyU8td2SNS1oGsy61STOJ2MhsJPZ8Rku7ci602pgmdQsaLY+Y64O1FKDi8bP6ZiUhAaPviPadySmLJFFS7e8pLS3aBxo6nUP0zXI5TKLQY4Q9ArsLnDGAg+fvnYcbzi3Bha0ADk0gIdvJEcUbRsZBUwiYDGBnAHkKACfYs2COi7bUAVjQLXm47m9JbTPuXC83L5w8/TkGEcLaQnwgYEedHSUh+d0BW++9orTvAvXDAGUYni6hP1HHUzXbFTrNuquBd+XIbXybQ8HLtG/fi09LbJ7S7BHdm7KIRjBg7+w8cHPlvD0riaaG7q1RHFySU1UN2JVUowhw+6t3VBoQE3Tk4bgKcTL+lwdgERHOkbRtHC8ijQup4GutDt0Pk6ie5/Q8CAZNCVj4oqeUETlKDiJlpNVbBXICVYMevjcn4zhvHU1sExNzpNAj8hOfP9l+W0BkwIOA4oGR8USyFlAZ4dA2bEgOMV9m33snlrlbd/H32znSsP5Yk/L29sS4IZhgvNn0T+/d195zuLtu0Z6YTk51NwK7t04F0/t6MLYZAHTNQt1zww1OI1rPKuHT/QBZmjvJkE0kVBz3/+ojfd9uowtu6wwCqoZ59ZAHrrK1WDeIBlJxNBs3bplB5pG14Gs0ZMGawk0MKesKEhvk1b1SVwn5pkbRmBODRy1qWEboWt+BdqkxudpLc5jiqInMctlqgE7TGNUWp0z8IBCuARL53v4+z8dw2vXh5o8yNLkSS2uhyrQkJKYTMAxBIq2QFcuwMvmAb+7vgiKbhwZLWLN8jasXrV4Oyks3Pfvv9gLy245jJzZikkpxaOPPbCrnKtdddmFK9GZ51jdBxRoGdv3VjA86mC6ZsLzQg3OSeT0CW9xyH2DWHvreZUmhzCABzbb+MBnytiyx4LINAWmpsjZI8FthvQkijWJ/mvEIGxWzEfX4NAAm9beyjvasD78pWkLUjMRM32ZilMR6R1bbJNpNtQ1uiBRpVh9vJSgKakk80QvoDTIhVwWLsHSeR7+9oNjOH99DTTgkMmbIdB50FSLq3vJiNTgNhMoWEB3CVjSy+BVu/Dc7m4cPprHdHA2xsYmrzqy59u7KJ3ZCG/MtAEhS1GtTsJxCgfm9T2y6Yz5e17d4UyjkGOYrlFMVTlMw4BpcBgGSWjvuCaKXrRHK/FgB9h9hOGnv3Jwwz+VsGW3FedSEjorcMcOncbCmQ0pZrpjB2jg3VlJDDqSk2DXYN0K1LNkLRFNIZn0PBmApW3TMOhMTHGkIVHbkEYTYpQwodaRmI6Ay3vJVSy4Yrx68oNa9DiWzfdwywfH8Il/4vj5fzrYfQRhFGKo+ASVICcMKjteWVKUt9lggGUI5G0Cx6KYmDaw97CFfH4Aq1eu29Qx57wDbm0K+Xy291KXWfmhcrkiHvjJo1v7u9puedNrz0ApD+RzFAZTN0e1noiZaBQ3HmpvomttIsG9ZZ+BG28t49pPV/DsrrBmdxTT3TqISp0nspokLCQitpSQ2FOWDWYRXzOyube+XgdfmocfK6ibAT2JepI0CYZURZkDlVE2Brvi87G3ExE3j4HPFeXRYlSyB6MafdEtKylNHnADnDMIl2DZPA+fv24UH3/PGE4bcGXsrPBjTa44Ong00Iz+G6XMuUEgMFnlOHQE8K2zIUjHLft3Prp1NuAGZqHBlaxcNh+lUttmJqp3G2Ls0vGRPbAtwDB46EhpTCTWs3Ki2BIawMj52LrfwI3/WMZd9+dR4yzbiQOKtJ1bcQeiWU0U/46SLNRnaDEnGmiVZlc0pCHOW6GUJJYaXo6GzU4A2GneoltQ4ldQc+aoF04HtXb+KLRWvR9RbIr+WUTd9BhRZSV4SFsohODh9xQ09IlKTS+9nIB8RAIADcMDAALqB+itBHjHxdOwTYE/v7WMbfttmRmU0ORMZskrTR7F0si5HwCuxzEx6WJw/mJUOk+/u639tM10amLWt3XWVWr6+vsxNj6xa83Z698/p69yb0fZhmMFsE0O0wwLYaqimFQDtl71lfowrQDb9pm44bYy7nogjxphcthMjdZam+rWE8Rl15T2Rmz3ThTIjIAZmwkBZPLoxAuQegmSGG7GSUTCXS+3bG4uzB5oao6c1DZqoCi1c9qykrKBJzQ2InAmqQtBbGvXeHhoKOCR5g4HmUKZCUlSk0eT7PIWBAa8mgGbA2++oIpPXD2GRQN1wA2k2134ofvdBxccnpCueV8QWeeEA65P4IZNpQS1wMzivStXrX3/6Mjoru7u3pMPcADo7+/Hjuce233GytVPzh3oQt6uoZDz4Fg+LDOQ2pw1gls2YfVhOgF2DjN84rYyvnl/ATUYgKmlllHdtq1z7iS4KYkdZyzT5p20lmTxbQlokbEu+ZvTA0x9fcJ8mPGyzFoyEU4arSSp5QRlQdKaElEU7e1ImgzT1hV1DJ2fJ6e48JMOdo2ucAOcGwg4AxcMvsfgCIHLXzeNG64ew2B3Haj7UWyJBDqHF9Y58bl8B+oeQc0DpmrA2KSH9vYevOxlZz358COP7p4zMOdYIDt7iqKks7MHhfK8m93JZxdNj+x5K8MwDIaww3DcF172hPdhMA+G4SIgATY/YeEL3yriGw8U4FJDJjuSdJJwys4dLUuE0vCio44MSNq49WqwWabB9ACzwRaeehkS5sMG0KeWU9bw2YBcpxY61YiAqXP/aJlEIbL6O5GMTyEx4MPjkZCegOgaGzKCEAhLvskdopiQ8BdR7aVTyc2gVDauIkKLOkQcuUg5hEdgGgEuf+00wAVuvasN/7ElJ1ulyIOAE4o6pbA4AQvkT/QFMOVyDPZ3on/u/DvXnb3q5u079h0rXI+1kB7Q1TMfh3d+byzXdtqVc3prD3W1TyLv1OIGUFED1hDgpgeX+PjKfQ4uva4Td/6oCJeagGECNCxET03E3c6ykxcUuJUrtzEyMFWsPgPICR6dWpdAuUZB4pcg9n42cI5ZAPmETIfp7RJxKCSh0XXt32BVgeYMAjSHkE5taOzdVPZxxAPNiLZoFEU0UBWGgKtoUxOeZ4L5DJdfUMM9nzqCK35nAgXiAr4LcBfgPlwuUA2L+rgcGKsTHKwxDPu5h9YsH7zyy//vh2OLFw0+/wAHgMFll6BSmZp2et7qPnughJFJqVpIWF7NYB5M04Pj1OHCx1e/W8BHbmvH0KQNj1qAYYXAtmJwRxVgjSRVCdERJw5nmATDmOKIe6eArA8ydagkcK3R6kwNnOl6J7MC94lIgmaE8wR317h6DMbYM5rQ8kLX8ooCkaS2h6b9kaQnOsi5iGtVBpxJWhJ+liA3EiD3fQskMNFZFLjp6jFccck4CnCBugvwOkQQwOMEgZDPqpRz8dq1An9x7UXuJNj0lW//neO6f8dMUZRUxWpwzh99+tCbzu23HswtmzsK23LBWADL8GCbdWwf4rhnUwGf/HIFo1M2YOhA1mhJNJKLAa2DJ+LcJBVIpQNY596JAWITepKiIdBPmQK7rtiR9TnxIUuO7S0QGStESCtU8ZCIO+sIJynKk9LkMqlAxPZwQUL6IjTAK+tkHC7Aw3J98XWFmT9CVsgSCDOIwlIVIrxGWXyfgwgBShiYCMA5Qznv4carxmEbHPduasPWYQCCwacUPghsxrF60MJf/PG51dPOWPooIcelhwGcAMDn9LQh8KoffddbN4infrn1Txg/5BjMh225yOVq2PwMwZ/f3o4fP15EPbDkYJKaiBw1YEiM7hQQUuCKelVCK5SpaezIzo34cOlKVBEY05xa598ZyljfBhnfxdfZQMZnJ6L5PnoEoUp30V3wujqWgNXMiAhfhnCbyJQebac+60X05TIRKQ2vXig9/CI8R9yHJwS3UDROzlWZCqI6TVAGSgIEgqHkePjLd0/iolfUccPtAX7+FAWnDHVmYcLl6OxeXCt0Xfy345P5j1XK1vHC9PgoihJm5vjhfQ/e0N1d+VSls9vNOTUUctN49BngQ1+o4AebK6gHBcDMAUYeYA7AbICasg8QpVo/dxL2yYmBHNURhDagRLICle5614GXOWCM1olsDQ5Ab24Ur9T3bbAZNpz3WKWVSz7hWFKrdcuJ9o1euzDi4fp6dUyRfZ4I6CAJzo4GmhJ7OmPriiwNF9MUKmta+gZ834QXmPB8E65vwfNs1OoOKHHwurMDfOrqEZy7YgSoTWG65qNnYMCtdPd+6lvf+/ENlbLVMlpwJjluDa6klBt1Beu+yQh63IMHd9x463cs+u1NZfzHtjYgF3Jsqupyk0QvHB0M+pL+UGNNnQI3GkGlO3bSpkIgA4DqOCL1zyRFWZoBPlNI6iWYpUScWaMh+v1IBlEl71OsnfV7yeMdCOIBJdHS3Ujsvtc1tyztJr/Ta1ACpKF6mx7C2+oGRcF2RCCgHJQy+IEcgJ5zuotb3j+GO39cxz0/t/ngQNeN7X1zPrvj8FEXJygnZYi0e+tX0dNhn3Hfpv2/eudH/4NNeQUQR/YplGAMM9ypkPyZxsDR3bRBwi4bXyDRXe+ITYBpG3hjb0u5jqRLshERlWNLlGkj0qMXxbGo/SjCsmuISq8xKoEsy9Hp3xGwMC9UL9fGtO/1cnCJczNo5e3iedRWJVynWjzSqI+ovoxUAy/1e7Ob7Ma12bU67VEBVKGlGsaFnvQ6k2koCUC69NULqN66hsoKcY6uYQTI2S6mqjVs3HZZcGDi9NWOMfnrq/775SeMzRPW4ABQFcthtxefgzPvmssu6frC3ff/klrhzRVCalaDxFVdlUaMyuFyWeKLCQlyLoQekJhwr8eDRdFIR1LXlTAFJvZtlIbBojbgjN+0hk1apq4dr8SamQAJ/Rl/Hzt9dPWrFQ+KLl7n5Wk+Hv6z0MYmcmMSbQchwjFGOJjUOHljaEA6WUJPfkEcwkHjIk9CEIi6QLVmo9zzen7By8+85om9y57rLx84KffypAB82Wnr8ZPHtrqXXfSK2zdu3p1ft6TyuQP7DiGAiVpouGcUMGisZXWtHRACnwv42h2LosyQwa/T1CFBS1ITkiBUsd/xTW80D+rSwLubbNN6xSxEYTGiGbFk2sgTlCRlTtRAnHnMhMNIrkjweoLI+UMIUdCOj6DRHpDG+isqUUJxcqXJlfZWLSEJBFzfRLUGtJW6YXtt/6t77oW3r8s9FeTL5xzHTWyUExpk6vKatUuwY9fB4MPvunjbte/YMLF2WRmgPjwuwW0zgZwhkDflPGfKwHabhdSFxpQjbdVI8+A0J05aNGIN34ChJvs0cO4siwpJn5dkgjF9yBOVhuJWkWpF6ovUR+V6hwZ0IKFRk+tSsS3awDU6DmJbe9bvjhqWcQrPZ/A8A65noFY3UXXlvO6acH2GIOwKV6sHODg6AFb+3YnOeZdvq00dCPLlM07S3TuJAAeAUlsOjLj3XrBh/Xvef9V5R3t6TYzVPDAK5EyZfpSzgJwtkLMEHBOwmIz/VdSlYWSfupFpepCmK2lpBGYT23U4Vkhr9+Yyg++RHAPI0z+yxdlEamX8AhBtoJq1P0l81u3emZcSgZw0Wl2i+5P9akstzuD5DDXXQK0egrxuolY34bomeEBhW1OgFoHV+dqjvXPXv2f/Qe9eZuRne9dmJSeFoijp6qwAAOrVI3esO+cVxpve4N48NP7TbqM2gbwFOKbU1IRICuIF8l9fwAEv/EeoWlSoAjEESQtBgxZOASkrqApNwJ1Br5uL9q9er3alX0emkJkP27BdFuCVXTvFofXNScZxk7EuGl8nulZGYlAf829EHdI0T1HjT0yV6uMC8AOCusdQqxvwwkwvQgCDcTgBAaU+wLqxdMUFQ/PNl/+ZF7h3zJvXOr/yeOSkAlyJnevE/uHJL1/xexfSo4fHP7lp40+72xzAsQgMJnkdF0DdFRBCoOYDHGE0GZehk+o2qojBrBuqHmUDuGahOtWjok1VvzqXPthMgTp1siyQt7qUBChFjOEYkNqFkqwds3gxIiAKEY539F31F3XGO4To+GF9rOj+py0pyoHEhGp8RVD3DEzVTNTcJMBdTz7/roG1Q077Gz9iC//Lhtkx80M7DnleAA4Ac7qKuPVL37l9bnchWHfm3M8cOrC3w7QoTCadOkLIWN+6x1H3CaZ8islAlutS2ptCOnoIZMnctOdRf/gzWTN0ltmQC5xhSWhmkck6rr50wtybzHKdJlm2cwV0NUAUIlYEM7AhqBJxSmGrd0Z/zwji1jPyngoISkEJhxCAZ1jwPIaj4yama7L+IWMCpkFBQWDl5x31eMeHdj/3wFcWLr/sRO9aU3neAA4A11z5Jnzla//ytZXL5rmdZXbb/n172/J5C5Yh7cKAwIRfw8jhAEemBTwSQRAgsng7wpsr8wWRBDkQtejQ183iEcY7tFidBXIyw77HcPbZS5pSkIavkufWV+q1DVudQhuUxu55QAaZaabKdK13FfsfKiBhAjmnDkFcjE2Z2L7PgRACjBFYJoXFfMydN3/CyPW/b98h/MuGC54/cAPPM8ABwDIoz+eKd1rmgF9ps746cmSvUypS5G2BtkKAV6wZx8VHhvFXXyti71AuLPQjg7IEkQE4VEhNnpa0nTuxPnO58WGT1JTYoRWHz7qQVtuk1kaUVi1rH3RDSZprR/EnqZPo1vKonHKL55L4jjT7PvRqZt23sMcSY1rfJBrAsgLsHRK48eud2LmPoi9XRzEHODaFbQGnn7agVq70/VEuX7yrWnVPyA0/G3neAf77v3857vnOt4J8vu+uSokFc7rxf3l9m1MqCJSKLvq7qnjVqmm05yZx/f8pY89QDp5vA8wCmB3HQKSeR9OIwAyZ6WG2HmUm+YwKMmolx+Gpn9mKIhrP22Dnzhpttv5V2V+EFhQSuvXlQJ8kxj7K9c6ojP03DReAh92HCa7/YgX3PlJBIW+i1h6gnBOwDY6zVy+qFUvd7+jq6r97/6EjwaWXPr/aGzjJZsJm8sY3/R5KubHgZ9vf8q2liyt/sGJZx/Tc3iH0dR5FwZmGQYFLX+3hB58ZwjVvPAqbV4HADfP3ko1no3gUxObBtIhZrktKTIcSc6TAMNO/i1md6zi3b+L9afR1pr5Im/cyjktI4xbJLPv4c1TrJqQnluECRh3/+F0Hb/hgD+7eWEEtoBhzBbaOUDx9GCh0Dk47bb1/8Pa3r//W01sPviDgBmauB3rS5MtfvRNf/9tFWPr2Xzz1yrOX7PC4f2HePOgcHq1i2uUoOCbaixQvW17HRDXAr7Za4DAAZoJRCouGpdm0OA6W1uJQy1qBHm2Ki4Dq69RnkliO5/r6xs/JOQnTRknDetqwfcqkqXXqa7y21DIa1zXbNqvQUdjVHMjKYYUO9iQ3i/eXsS0GC2CaLgit4yv35fDJr3Rh92gZ1DCxoG8KvZUqfGLikg09Y286v+vdV13xoztv/EwR7//jt71QsHvhAA4An/uHu/Glz1+JP7iw78lioW//MwfmbfjYbST/5FaKtUttQFiotHHMm1PDI7+0cGjYASwTBqXIMcCiAmbY05LRpNcz8SC0x6MGojpYswEUgzcBDkq0B6tv0wTg4QXR2QJ8NoBucb3RHClgo8VxKMLAKsS9OVMvXTxcVwMCGp4jjidhzEch7+LpPQI33NaJ54Y6YBUK6G4z8NG3jeNDv29j2ZKXHzHpkg9s29vz9enJNrz7ij98ISH3/HPwtFz5tqtxJYAtu8e/tvwsw/jDtz5y09Cun3TvO3QQvHsaBuPoyvs4Y5GLx3dLG1VUIkLFs6gcZM0EHEnknGgSTtqEoyZelGPk0GSG5ZMlsWc3NejLMKXoCRCJa9Opl64MSGxGje6pUCGzWt4nEWCUhlRF1iF/cruJQ1M5GI6DvhzBnCLH8Mgy5Ds2DP2P9ed8GPC/Rkj383RXWssLDnAlS+eXUK9Of+ntl76SPPcM+eTBnfd3j024yDsWKkWKFYt9YBNACA07FAtYTLYEVABXHrg4zDZ8cGGMMoVoCWog+ZCBmcFJMPPGJwXgyrtImn7dCN9mwVUN1yeiuWpK0BD+mkhwQOR9FiHVY4xBCIrAJ/j1dhNDkxaKFtBmuBjoacOKVRcMdc159UempsSXikXnZNyR45IXZJDZTOxcHoYZ3L5sxdnXDS57/QjMeWCM4tCEwE8ecwDfhMkIHCqDsmwmYBtykjEscWYOF2HYLQ8/h5aA6PMs4j0AZJodZzQTtjjWyZCZLjuKoU9sm70XCe3VeiEkSpJx4ipNVggCP6BwfRk05XkGPE/GmPi+nFPGcP4aF4NFHywgWL64B+94y+tHXnnuuuvqnnf7qQQ3cAo1uBLKinBd/47+eWcfDep7FtfN9k994/7vmc/szQGGBZsSOAaXUxicpYqKegEB54ArZLMi5axQSQMkLBypazT12GfM0An5LVLbz9IKd3KllSbXQ0SiawzzcFIULvYbaB03iN5tWsSaWjBwQeD7DK5PAUFk/W4uT2IwDj8w4HoWFvZO4r+9egi08hqvkst/6PwNZ28rFnLfM8zjz6U8WXLKAQ4AlmXwydH/vHfp6jdYjzz6+PShqn3rJH+WUJNQmwnkmEDOBPKWgG3KDBoBgWpdoOYR1AMCN5AajIXZOgiL2HBBQIXI1GcNfPT5pBwnU9LWwLTnMpVsnLW/oieqNXtcjSwOZ3A9AzWXoVo3wAWRgVIRwAOYJsN0zUBXuYP/6TXniGF34Xu3HzzvK49v3+puWHP6qb5L8jpP9QUoKVbOwpe+/YTbVhi8o9xBfvyqdeZbdu4+/JeH9h6AnadwTFlON2cDtiUDesamBQ5OAUM1WQnJIAQOBWwGQKVyibileiuQR8upddFnLV7llIrGs7OqYjWAOkXNop8QaXCpvQ0WgBkBjLCNes4iqLsUY1NFjE2YoBRwLI4gCIOmjACOz8GsubAK/f+7vW/pN/qNzj1nnvYzl5BXneKbFMuLBuAAcOVlZwJA9dqb79pyxtkrbxrs2mENzyl+dP+eXcwkdeRthlKRopAzkLMNnNNbw9u6D+CL9xFsfLyMuuXAY0w6lwmBIWS7aqA1Lhu8oq22T2hLzGqgeVyeTf1amtKpZBBV5KYPnTLJFJ7kj9AHmIxxGEYA0/Bhmy4cp46HnwC+cG8bugsGBrsYcjZBW56DC1ncybZyMPILApbr+KtCd/dNU8NHg2L/y04YAydbXlA7+Gzl5z/6V1zwmt8Vf/Pht/34h/d+3WYM68fHxgzb9FEuMnRVTPR3ESyYE+Cc0yexftkwnt0VYO9hEwExAUJlC2+q1VIJk3tVi/vkRKIEYN0RkrCb07QNO7ZDx44fou2Xto/Hy0ATB0wTh0zDlFoPpG3hJDGIlNuLMBFagVpOBpPl9ixT1rRxrCp+ucXDn32xB7/e1oE842EPewIOAttk6OgoYWDBufWBJW/5dFv3eR+/9l2XiMrcPzrVsMmUFyXAAWDjD/4VI6PjCAQeXLViUWHh/L7gyPCBPT2d9kCbM0n7On10VupwbA9LB6cxp3ca//6ojYm6BUENmFSaFA0Sez8jcJPkZ+WBpA2gSjtlJIooALRw9GQCnCa3nxHgdIZlBe6EcybrhRCR91Fl3zPliaQ80t6W6cOxXYzX6vizL5Tx8BM9KLeZyDEBHgTwPA/t7R1+e3v54fXnXrJzzvw136AE13/sYx9DW+fJyZ98PuRFRVHS0l4pqY8feegn/4aLzj+nzfcm/smvbr88b2ynRXsCBgvAAwO9pTps4oU1py34WgH4OPkqYwo1cMINDuncaMYs0okKzWTG6PBUVGCzAaE2a7wQqBBaaUrR+9arGuBUxZFAjT9V1Spo4Oeg1IcrAhwaMwHGUA8I9o9yMMvBaUv6+OLTFn+zvdL2rl/8au/EpQvOeoFQcGLyoga4Lq96zcU4cnjnBGW599Wn527lU8FK7hcurU88C0Y9BFxAhA2PhOAQgkVBo81iMZrHbJBoORGppxZncB4lSl60wHiCzrfysKqtlabWUtegQlo1sPOQfxMhg9NioMf9eCKeDmVRkVYUQuV/vKAeoFblWLtmAQZ62++++PVrn1y+ZM7fTUzVJpYtXXSq4TBreckAHAA6exYAwLDwf/1xsDcPjg/twIQ3/9IdQw+iVtsjPT2+AGxV8iCMRYECsEgAmpKsACsN3JpIe3PYWSEcvKpo6Th6Q4CEMRszZUakwa3b2dVeEQXJ4OL6gXhUkoHIQXUYfklIXMubcoDTZO0SaJdIiYBlCHDOEfA61qwg+J3XrMeZy5bevWrV4g9MTEzvOtbi8y8GeUkBXAkxzkBtamRXsbL+On+4fEextOj9ZbJ5Q7FzJ3rYBI5UHQCGrCeuqjvp1aRSvDeuLpVsEwhEJmUgdIBQlQSmm+lSQeI6H9bnCckw9WVtFFOpJKdW59Ez4AXXckwVqAlAVN96LmvQ0LBNYBDO5bUE2HnAA7M78cbXXYB1q1ZvnN9X/rvu7uWPB4G3a/mC/lP92I9LXpIABwCn0A4AW4UQWwE86ftu//XvfcU/HjzwyyWfuG0XAw/AIMIOunFVLUpTGluBn5CYuiBpPtbd/Bzh9wINNmYdjS3BrR236bEQ7x8NFFN9hlS8StT5mEhAs/A6eFgtloYhC4RTBISDcoIgoAgYRRAQcCEAwnCw9obgzIVnbV29wnj3xee/9gCALcdTZ/HFJC/tq9dk36FDEMIfPHx468DuofI3v/zNTaWhvXsK1alJOCaBZWqdwUN6YjCZIWcyAsbimoRqMBZwITveiZhGkOiFIWBMzeUkmzPTsBYh0cJrUyG3SFpGaMrKYzDpjTVUzRgWWj5YDHLFq2X8TdjcFfHxDMZhGgIG4zAMuT+BHFCaRgDbkn2TCgUHnd09Ux1zXje+bV/9zQsHl+wzmLHLcl6aGjstL1kNnpaB3l5wIXYN9M7ZM+fo5BkOw8sZgi/+4ldb/F89saVjbPRIm0k5fJ/D8wWIQUGITH5mjMg4cybfdxm4JaLCoH4Qq1YaZjkTkuUdJSk6oQ1UQ36fSJwW8cskUsfSKYkqzGmoYCiirgsIBJUBZjwu0MMYANDQQ0lkkUtwuD4FFwbyhKGUL010dC89Wu5aZpgGrjLzS362YnllTAhw9Rt/E+Q3BuCA1JQA+Pad+0ZWLOn/wZGj40tvuuWb9U3fuflPNz7883fu3LHDGx6tnr53qO7U3SmYjIAQ2dDWNBkMBvmvnQO+H84DAc8PcyIpwMJilIKKhLcwBjZpsIOnB62KknAaVwtI99JRosx4jCrHDJedh8MkBNcDPJ/A90MaAtlIA0Jo/w0ClEsGhkaLNUbLz3QPDJqLl6294z///b1/0znn87Zpl2vVapUXS+2n+hGedPnNeVWbyDNbdsI0DHL/gw8hX8yxfLF46469k0sP7NrxqtGRgyzw6zCYgMU4co4JQghcjyPgwHSN4+DRADVXAsxkgGkQmIacWwaBYZBwHYURUhVFT1TZZMVjBQDB9cRdEg+AQy3NGGAyAdOU7axNQ8AyBSxD9iO1DA7T4GBMoFozsH/YwlSVIuAErkcQBAEsI0ClZCDvEBQKFuYOdARz5/U/dGSstKVarV5jMB4sXX4ugsAX5Y7BU/2Inlf5jQd4WoaGR2HbdvvQ0PBf3/f9H1k7du4KKqXCmrYCW4tgGM/tGofvEXSUbZSKLp49MI3NTzsohtGMjimDvSyDwDK1uUlhGjTk8iSmP2E9cCAsaeYLBFxE3Fzn/jS0QZsmYJkCdjhZFodtcjhWAMcKkHd85JwaHn7KwJbtbSjlTLTlA7iei9GpIpYs7EWljTzGSPWX3b3z2Flrz3NLpY7rPc8dsXOVU/0IXlD5jaIos5HurgoAjAD4YwD48U82QQAbDOJfZJsjb7Y7ppbB8xBM7cbKxSNYtvQIHn6mjIMjDvorBIxSmMqpEpUYDgeWoQZXGpsQORA1DalJ6r4cuLoeByGQVZ6odLgEYcIGQi0OoVlQIK1Alikz2Iu5aYxXR/GtTRVQv4y1Sx2cuWoJKiWO7Qfanh3o6/xmqWj9UAixce26F09k36mQ3zqAp+W817waADZOTQ5tBMGmzgF/cX16nD/28BE+d15lYZ95+ofPWzeEibES9h44gOGxo+ijBCalIGAgRGpwRiksU1IW3yfwAxGmdhHkHAHHAqaqAkdHfUxVeRjyKzU/o3LAWHc5WFi70TZlrAghHLW6D0YCtLdNoVIpolRegKmRcVx0/nLs3D59k50b23HGmS+nff1FumTS3gbgB92dXaf61r4o5LeOosxWBN8DELuyZ/++Dd/+/lOoVvOemXP+JG+I11XyAgQB7r3/MQhvAj3tFspFA20FhoJTx9jENLbu4cg7BrrbGXo7AsztqWN0ehp3/MDE1ISBuV0UnWUTXe0GijmObfs8+IGFzvYcinmG9jaBnnYXPV02Cp3nwDYZ2kt15B3v/lrN/9zIVNWsm2fDyi3YKHhtdOXiU5PU+2KX33oN3kwInQcAowDuAYDHnzsAAM+YJOh1THDX9fD9TVvgBTWYpgnbNsG572145Zk3TEzuv0RsNr1CLofeDoaejgCDfZOYqI1g0a4iqpNtWNgFdFUM9HYyFHI1TBuB6Tid3x3e++QNlNomMwDbDtBecdC7YAUMZsGxfepY4lAJ2NFvLzjVt+glIf9fg59EGT/8IAhI7/DwlvIPf5oTeSeHng6GroqPeT2TmKqP4KsPtKE6VcKCTqCjxNDTwZDPTeOnT3PS07VwTEAcevtlG071T/mNkf8CounMuSwoTr0AAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTc6MDU6MTQrMDA6MDB9UC1+AAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE3OjA1OjE0KzAwOjAwDA2VwgAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31743265
{'hecke_orbit_code': 9008298799923570, 'n': 1, 'trace_an': 8}
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id: 31743266
{'hecke_orbit_code': 9008298799923570, 'n': 2, 'trace_an': 4}
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id: 31743267
{'hecke_orbit_code': 9008298799923570, 'n': 3, 'trace_an': 4}
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id: 31743268
{'hecke_orbit_code': 9008298799923570, 'n': 4, 'trace_an': -4}
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id: 31743269
{'hecke_orbit_code': 9008298799923570, 'n': 5, 'trace_an': 4}
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id: 31743270
{'hecke_orbit_code': 9008298799923570, 'n': 6, 'trace_an': -4}
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id: 31743271
{'hecke_orbit_code': 9008298799923570, 'n': 7, 'trace_an': 12}
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id: 31743272
{'hecke_orbit_code': 9008298799923570, 'n': 8, 'trace_an': -8}
-
id: 31743273
{'hecke_orbit_code': 9008298799923570, 'n': 9, 'trace_an': -12}
-
id: 31743274
{'hecke_orbit_code': 9008298799923570, 'n': 10, 'trace_an': -4}
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id: 31743275
{'hecke_orbit_code': 9008298799923570, 'n': 11, 'trace_an': 0}
-
id: 31743276
{'hecke_orbit_code': 9008298799923570, 'n': 12, 'trace_an': -8}
-
id: 31743277
{'hecke_orbit_code': 9008298799923570, 'n': 13, 'trace_an': -4}
-
id: 31743278
{'hecke_orbit_code': 9008298799923570, 'n': 14, 'trace_an': 12}
-
id: 31743279
{'hecke_orbit_code': 9008298799923570, 'n': 15, 'trace_an': 0}
-
id: 31743280
{'hecke_orbit_code': 9008298799923570, 'n': 16, 'trace_an': -4}
-
id: 31743281
{'hecke_orbit_code': 9008298799923570, 'n': 17, 'trace_an': 12}
-
id: 31743282
{'hecke_orbit_code': 9008298799923570, 'n': 18, 'trace_an': -12}
-
id: 31743283
{'hecke_orbit_code': 9008298799923570, 'n': 19, 'trace_an': 4}
-
id: 31743284
{'hecke_orbit_code': 9008298799923570, 'n': 20, 'trace_an': -8}
-
id: 31743285
{'hecke_orbit_code': 9008298799923570, 'n': 21, 'trace_an': 12}
-
id: 31743286
{'hecke_orbit_code': 9008298799923570, 'n': 22, 'trace_an': -12}
-
id: 31743287
{'hecke_orbit_code': 9008298799923570, 'n': 23, 'trace_an': -8}
-
id: 31743288
{'hecke_orbit_code': 9008298799923570, 'n': 24, 'trace_an': -4}
-
id: 31743289
{'hecke_orbit_code': 9008298799923570, 'n': 25, 'trace_an': 0}
-
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