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mf_newforms • Show schema
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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2100, 'analytic_conductor': 4.19214610611722, 'char_conductor': 35, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 29, 'char_orbit_label': 'bc', 'char_order': 12, 'char_parity': 1, 'char_values': [525, 12, [176, 127, 451], [12, 3, 10]], 'conrey_index': 82, 'cusp_dim': 272, 'dim': 96, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 1924178903565, 'hecke_orbit_dims': [8, 8, 24, 24, 32], 'label': '525.2.bc', 'level': 525, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'mf_dim': 368, 'mf_new_dim': 96, 'num_forms': 5, 'prim_orbit_index': 11, 'relative_dim': 24, 'sturm_bound': 160, 'trace_bound': 11, 'trace_display': [0, 0, 0, -8], 'traces': [96, 0, 0, 0, 0, 0, -8, 24, 0, 0, 16, 0, 0, 0, 0, 80, 0, 0, 0, 0, -4, 8, 8, 0, 0, -48, 0, 24, 0, 0, -48, -24, 36, 0, 0, -96, -4, -12, 0, 0, 0, -16, -40, 0, 0, -40, 60, 0, 0, 0, 16, 108, 24, 0, 0, 96, -16, -4, 0, 0, -12, 0, -4, 0, 0, -144, -8, -132, 0, 0, 32, -12, -36, 0, 0, 0, -60, -80, 0, 0, 48, -12, 0, 0, 0, -88, 24, 32, 0, 0, -92, 56, 24, 0, 0, 0, 0, 72, 0, 0, 48, -8, 60, 0, 0, -64, 28, 0, 0, 0, 0, -40, 128, 0, 0, 88, 0, 0, 0, 0, -184, -108, 12, 0, 0, 16, -96, -64, 0, 0, -48, 0, -80, 0, 0, 0, -28, 72, 0, 0, 64, -68, -72, 0, 0, 0, 32, -24, 0, 0, -100, -108, 0, 0, 0, 96, -96, -100, 0, 0, 176, 0, 40, 0, 0, 216, 0, -48, 0, 0, 60, 44, -60, 0, 0, -80, 8, 108, 0, 0, 0, 152, -80, 0, 0, 136, -36, 0, 0, 0, 152, 48, -44, 0, 0, -376, 200, 4, 0, 0, 12, 0, 52, 0, 0, 336, 8, 48, 0, 0, -24, 56, 48, 0, 0, 0, 100, 264, 0, 0, 64, 60, 0, 0, 0, 136, -60, 32, 0, 0, 40, -96, -36, 0, 0, -552, 0, -60, 0, 0, 228, 84, 0, 0, 0, 160, 84, 12, 0, 0, 0, -12, -216, 0, 0, -64, -84, 0, 0, 0, 16, 24, -44, 0, 0, -424, -120, 52, 0, 0, -408, 0, -96, 0, 0, -144, 84, -132, 0, 0, -288, -8, 132, 0, 0, 0, -56, -48, 0, 0, -100, 228, 0, 0, 0, -96, -36, 104, 0, 0, -164, 88, 16, 0, 0, -96, 0, 68, 0, 0, -96, 12, 228, 0, 0, 288, -80, 72, 0, 0, 0, -8, 232, 0, 0, -24, 48, 0, 0, 0, 112, -156, 4, 0, 0, 264, -32, -76, 0, 0, 720, 0, -20, 0, 0, 864, -24, 108, 0, 0, -8, 32, -132, 0, 0, 0, 12, -192, 0, 0, -20, -300, 0, 0, 0, -80, 96, -64, 0, 0, 384, -144, -48, 0, 0, 840, 0, 28, 0, 0, -264, -144, -168, 0, 0, 496, 20, -72, 0, 0, 0, 164, -136, 0, 0, -40, -12, 0, 0, 0, 128, 96, -16, 0, 0, 72, 72, 8, 0, 0, -96, 0, 124, 0, 0, -912, 64, -36, 0, 0, -16, -92, 60, 0, 0, 0, -100, 344, 0, 0, 16, 48, 0, 0, 0, -296, 108, 44, 0, 0, -4, -40, 116, 0, 0, 144, 0, -72, 0, 0, 0, -24, 120, 0, 0, 160, -8, -96, 0, 0, 0, -168, 32, 0, 0, 16, 48, 0, 0, 0, -140, -96, 68, 0, 0, -208, -48, -16, 0, 0, -180, 0, -8, 0, 0, 0, 72, -216, 0, 0, -1056, 28, -12, 0, 0, 0, -4, -288, 0, 0, -96, -12, 0, 0, 0, -120, -48, -100, 0, 0, 428, 208, -8, 0, 0, -336, 0, -84, 0, 0, -336, -4, -24, 0, 0, 16, -56, 48, 0, 0, 0, -116, 96, 0, 0, -264, 72, 0, 0, 0, 220, -60, -24, 0, 0, 136, -48, 52, 0, 0, -288, 0, -16, 0, 0, -1080, -196, 72, 0, 0, -128, 160, -288, 0, 0, 0, -4, -176, 0, 0, -380, -156, 0, 0, 0, -40, -96, -92, 0, 0, -240, -104, -72, 0, 0, -840, 0, 48, 0, 0, 48, -56, -228, 0, 0, 464, 48, 108, 0, 0, 0, 156, -16, 0, 0, 288, 360, 0, 0, 0, -48, 132, 100, 0, 0, 136, 224, -12, 0, 0, -48, 0, 36, 0, 0, 48, 48, 192, 0, 0, 216, -100, 48, 0, 0, 0, 92, 216, 0, 0, 448, 192, 0, 0, 0, -408, 348, 12, 0, 0, -184, -16, -8, 0, 0, 984, 0, 184, 0, 0, 552, 48, 24, 0, 0, 80, -52, -60, 0, 0, 0, -120, -80, 0, 0, 392, -192, 0, 0, 0, 152, 372, 116, 0, 0, -16, -96, -16, 0, 0, 288, 0, -96, 0, 0, 960, -28, 0, 0, 0, -288, 40, 24, 0, 0, 0, -116, -152, 0, 0, 0, -48, 0, 0, 0, 872, -132, 188, 0, 0, 200, 208, -56, 0, 0, 96, 0, 60, 0, 0, 720, -24, 0, 0, 0, -176, -136, -12, 0, 0, 0, -416, 120, 0, 0, 48, -48, 0, 0, 0, -160, -96, -4, 0, 0, 112, 0, 8, 0, 0, -48, 0, 92, 0, 0, -1056, -140, 96, 0, 0, 416, -204, -48, 0, 0, 0, 32, 8, 0, 0, 208, -132, 0, 0, 0, -64, -264, 36, 0, 0, -352, -64, 156, 0, 0, -1152, 0, 16, 0, 0, -96, -32, -84, 0, 0, -320, 20, -72, 0, 0, 0, 72, -48, 0, 0, -328, -288, 0, 0, 0, 8, 168, -164, 0, 0, -120, -40, 28, 0, 0, 132, 0, 228, 0, 0, 1440, 24, -96, 0, 0, 96, 156, 156, 0, 0, 0, 88, 272, 0, 0, 160, 108, 0, 0, 0, 216, 228, 120, 0, 0, -96, -96, 4, 0, 0, 1056, 0, -36, 0, 0, 348, 52, 12, 0, 0, -464, 144, -84, 0, 0, 0, -12, 120, 0, 0, 24, 180, 0, 0, 0, -16, -48, -4, 0, 0, 1208, 64, 200, 0, 0, 480, 0, -72, 0, 0, -720, 100, 108, 0, 0, 848, -16, 372, 0, 0, 0, 12, -16, 0, 0, -200, 420, 0, 0, 0, -176, -60, -24, 0, 0, 104, 144, 32, 0, 0, 240, 0, -204, 0, 0, -936, -104, 60, 0, 0, -624, 172, -48, 0, 0, 0, 256, -240, 0, 0, -576, -48, 0, 0, 0, -240, -432, -28, 0, 0, -144, -152, -228, 0, 0, -768, 0, -60, 0, 0, 312, -112, -24, 0, 0, 136, 0, -156, 0, 0, 0, 148, -296, 0, 0, 96, -96, 0, 0, 0, -264, 108, -320, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 21044733
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1924178903565, 'source_is_minimal': True, 'source_label': '525.2.bc.a.82.2', 'source_level': 525, 'target_conrey_index': 82, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1924178903565, 'target_is_minimal': True, 'target_label': '525.2.bc.a.82.2', 'target_level': 525, 'twist_class_label': '525.2.bc.a.82.1', 'twist_class_level': 525, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 21044734
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1924178903565, 'source_is_minimal': True, 'source_label': '525.2.bc.a.82.2', 'source_level': 525, 'target_conrey_index': 418, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1924178903565, 'target_is_minimal': True, 'target_label': '525.2.bc.a.418.1', 'target_level': 525, 'twist_class_label': '525.2.bc.a.82.1', 'twist_class_level': 525, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 21044735
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1924178903565, 'source_is_minimal': True, 'source_label': '525.2.bc.a.82.2', 'source_level': 525, 'target_conrey_index': 418, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1924178903565, 'target_is_minimal': True, 'target_label': '525.2.bc.a.418.2', 'target_level': 525, 'twist_class_label': '525.2.bc.a.82.1', 'twist_class_level': 525, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 21044736
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1924178903565, 'source_is_minimal': True, 'source_label': '525.2.bc.a.82.2', 'source_level': 525, 'target_conrey_index': 82, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1924178903565, 'target_is_minimal': True, 'target_label': '525.2.bc.a.82.1', 'target_level': 525, 'twist_class_label': '525.2.bc.a.82.1', 'twist_class_level': 525, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 21044737
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1924178903565, 'source_is_minimal': True, 'source_label': '525.2.bc.a.82.2', 'source_level': 525, 'target_conrey_index': 157, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1924178903565, 'target_is_minimal': True, 'target_label': '525.2.bc.a.157.2', 'target_level': 525, 'twist_class_label': '525.2.bc.a.82.1', 'twist_class_level': 525, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 21044738
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1924178903565, 'source_is_minimal': True, 'source_label': '525.2.bc.a.82.2', 'source_level': 525, 'target_conrey_index': 493, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1924178903565, 'target_is_minimal': True, 'target_label': '525.2.bc.a.493.2', 'target_level': 525, 'twist_class_label': '525.2.bc.a.82.1', 'twist_class_level': 525, 'twisting_char_label': '35.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 21044739
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1924178903565, 'source_is_minimal': True, 'source_label': '525.2.bc.a.82.2', 'source_level': 525, 'target_conrey_index': 493, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1924178903565, 'target_is_minimal': True, 'target_label': '525.2.bc.a.493.1', 'target_level': 525, 'twist_class_label': '525.2.bc.a.82.1', 'twist_class_level': 525, 'twisting_char_label': '35.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 21044740
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1924178903565, 'source_is_minimal': True, 'source_label': '525.2.bc.a.82.2', 'source_level': 525, 'target_conrey_index': 157, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1924178903565, 'target_is_minimal': True, 'target_label': '525.2.bc.a.157.1', 'target_level': 525, 'twist_class_label': '525.2.bc.a.82.1', 'twist_class_level': 525, 'twisting_char_label': '35.24', 'twisting_conrey_index': 24, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1003975
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 1924178903565, 'p': 2}
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id: 1003976
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1924178903565, 'p': 3}
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id: 1003977
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 1924178903565, 'p': 5}
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id: 1003978
{'charpoly_factorization': [[[2401, 0, 0, 0, -94, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1924178903565, 'p': 7}
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id: 1003979
{'charpoly_factorization': [[[36, 6, 1], 4]], 'hecke_orbit_code': 1924178903565, 'p': 11}
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id: 1003980
{'charpoly_factorization': [[[16, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 1924178903565, 'p': 13}
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id: 1003981
{'charpoly_factorization': [[[1679616, 0, 0, 0, -1296, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1924178903565, 'p': 17}
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id: 1003982
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 2]], 'hecke_orbit_code': 1924178903565, 'p': 19}
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id: 1003983
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 1924178903565, 'p': 23}
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id: 1003984
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 1924178903565, 'p': 29}
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id: 1003985
{'charpoly_factorization': [[[27, 9, 1], 4]], 'hecke_orbit_code': 1924178903565, 'p': 31}
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id: 1003986
{'charpoly_factorization': [[[31640625, 0, 0, 0, -5625, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1924178903565, 'p': 37}
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id: 1003987
{'charpoly_factorization': [[[108, 0, 1], 4]], 'hecke_orbit_code': 1924178903565, 'p': 41}
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id: 1003988
{'charpoly_factorization': [[[729, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 1924178903565, 'p': 43}
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id: 1003989
{'charpoly_factorization': [[[1679616, 0, 0, 0, -1296, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1924178903565, 'p': 47}
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id: 1003990
{'charpoly_factorization': [[[136048896, 0, 0, 0, -11664, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1924178903565, 'p': 53}
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id: 1003991
{'charpoly_factorization': [[[11664, 0, 108, 0, 1], 2]], 'hecke_orbit_code': 1924178903565, 'p': 59}
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id: 1003992
{'charpoly_factorization': [[[75, -15, 1], 4]], 'hecke_orbit_code': 1924178903565, 'p': 61}
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id: 1003993
{'charpoly_factorization': [[[20736, 0, 0, 0, -144, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1924178903565, 'p': 67}
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id: 1003994
{'charpoly_factorization': [[[6, 1], 8]], 'hecke_orbit_code': 1924178903565, 'p': 71}
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id: 1003995
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1924178903565, 'p': 73}
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id: 1003996
{'charpoly_factorization': [[[625, 0, -25, 0, 1], 2]], 'hecke_orbit_code': 1924178903565, 'p': 79}
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id: 1003997
{'charpoly_factorization': [[[1296, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 1924178903565, 'p': 83}
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id: 1003998
{'charpoly_factorization': [[[11664, 0, 108, 0, 1], 2]], 'hecke_orbit_code': 1924178903565, 'p': 89}
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id: 1003999
{'charpoly_factorization': [[[28561, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 1924178903565, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 29, 'hecke_orbit': 1, 'label': '525.2.bc.a', 'level': 525, 'portrait': 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T6LHclg5OFrgbCGuSnD7GTCUiegMxAMY4/lvmDjpGGxbThxXlHzfDbOwNa5kA3rhqxfN2LjuhFbN1i2b1Rcvs2jrpocPTHB15/2efRAzJPHIxLV5XtubvPWl1rqah0Hjk9x9Izm9IWEcym4Dy1Yrr9ynl9+1zLbZic5c2GKC8s1FtseS23Jcjeh20voDQUHji1w8GT78icOXnj50VPndh47feFLN73me8N7b/vE8w2Jb+n2d5rBl5bbhKFFKX79a48deekv/u6n5DtecvCl/+qtp/X88gaW2hMsthsstn0W25rFNiy1E5baEYsrCedW4PCiYG52hf/4Q4vccGmDk+dnOHOhyZkFzflFy7mFmFPzCRe6MVMzQ152dY8X7wFf1glUwPmlGmcXNOeWBP0RxLGh5huatYTpyRgDHD8X0+nBjg0ezfoIawUIn97AsH3jiMUVDdZJkZUejGKwWJbaIVvWe3QHCqEswoyYqHls3zRkpS84fkaTGM26CUmrJgg8iGNBfyQ5tyQ5u2g5vxwTBEPwYm66osdLrxTMTdRZXJ7g5PmAMwtwfiHm/FLM6SU4vGh50RUL/OoPLbNxaoIT52Y4t1hnftlnoS1ZWklY7kQsdxKWuoaFruRkB1aWOvzOvxrFP/jaxn3+7E8Yr3H5fWB+UeDh1yaeb6g85+3vLIN/8E8+yUtveiH/+l//61/7yKe++q/+6KNfvnjvifbOQ6f78mVX9bhoc0JiNNYqrHXsjZWABARCWLSw+BLOLNZ58JDk6t1L7Nk2pFEDT0t8T+H7mmZd0vAk/Z7H/mM17njU5/iFEZ04Yv/JERvWLfGmly1z9cVdXrSnzbGFmIW+oBEMOXLG0u40ueoiycowYe8xRauheeY4XLLZMgwThomP1hHTLdh3MkDpBE/GaA8GI8kNe/oM+pKrL07oDBKOn2mxa6Oi2QhZGVnWT/VZ7nX4+Ffh8aMJTx4dsmPzItdc1mF6JuSNN3X53ldYdm9skURTHD09yeFTHifPGU5diDh1IeHwBcGJlYgXXDrPf/yhLhumpjh5bobziw3mV3wW25LldkK7G7HSS1juWZZ6gvN9xXIn5vo9C7z7zfOyrtl54dzxXcNBfGN94qJ6rTH95cce+Ay//74/f74hs+bt7ySDf+xjf8kLLt+m7nxw/78/evzcLz3y1HF1bilkcag407dcveM8v/NT81y7u8H5xWkW2w2W2jWW2h5LHc1yF5bbCcudmKVuzEIbTi4LdH3IS65c4vteEbJrfZOV3gQXlurML/kstAVLbScRlruGzsDQGVn6w5h1ExHbNxhAEHiWUxc8hAzYsV6xa7Nl8/o+55dHPHGwxQsvsTTqyzx9aIZWMyQMPdZNGwZDuHz7kI98dYrLtsWMRpbZSUmUDGjVAp45NqTuNbn20pgnj4ScX/TZsi5g1ybYvjFEqYhTC+B7FiEsOzbETLck3UFAr+/R6XssdRRLK7DYNiy1ExbaCefasDhM2L6lx/e9coGX7NHUvAnOLkywsFxjYUWz1BEstw0r3YjlbsJKz7LYg3NdxfmVmBsuO8d7fmqRS7Y0WWxPsNyp0RtOoGoXJ0Fj46/17CW/GnAqefmr/uHzDZ1Vt79TAD9w4AD1Wq1++vSp7Y89/sw7jxw//Z/2HzrFIJT0hrAycIxyphvzoovO8ds/tcQ1F9W5sDzN4kqD5U6NpY7Hckez3IF217DSjVnuxix1LOfbgjM9C6LHW29u88YbDBdtqhGGDZbbNVZ6Pu2uYrkn6PYFw5EljC1JAkpaAg/qgWVqwrJ+JkJ7Qw6fDXnqUICJm7z+xhDtrfDI3kl2boIvPBhz81UBF9oDaloRJxEz0xBHHtqLWVxs8LLrOnzh/ha7NsHDB0d4NHjdDYZYDHjqcMLRUzW09NkwrZluCuqBwPcFSkBsIIwswxC6fctKz9DtG1b6hsWeZZAk7Nja540vbvPWl4ZgWiyuTHJhqe70dkez3IaVbkK7F7OSgnupD2c7ivlOwosuPc97fuoCV+yoM788xUq3QbsX0Ol5rHQFfmMrteaGf7d5y56/2Lp164nhcDi45NJLn28o5be/MwA/fuwQc+vn/IMHDv3IwYMH3/vQI4+LxaWeHI4MvaGhO7R0B7AykFwYSM52I264+AK/+eOLXHdxjYWVKRZXmix3Ala6PstdzUpX0O5a2r2ElW5Mu2dY7lkudAVn24bpqT7f9aIuN+2J2bFBMVH36HRrBJ4EFGEsMUZgLPSHgDBMt4YcPG0xNuT2h5uM+nUu3uLzkqv7RGaFux+d4tpLPA6e69FenuDFV/f58iMBG2Yse49b/tlbOuw9FrBhRnLHo4qXXK5Y6nc4cnKGay8NufupAfGowU1X+OzeNmQQ97jtEQWJ4PApzURDowX0BxJjBYmxRDEgDdo3tHuWZiti26YRL728z3e9MGZds8b5pUkWV+osd9yxWe4I2j1od2PavZh2L6Hdtyz1Jee6goVuzI2XzfNrPz7PNbtqzK9MstJt0OkFdPoe3b6m21d0B4IoqZndl1xtd+7a/e5duy/60OLCQrjnssueb0gBf0cAHseRDEeDNz38wBcv7vbi9zz44CPeMIRhaBkME/rDhN7Q0BtaugNBeyC4MJCcacfcdPkFfv3H53nhbp+VziTzyy3avRorXZ+VnqbdVbT70O1ZOv2YTi+hNzC0+5b5nmC+B1Ey4ppLBmycSej1LW948YidGw1xItHSEkZw1xM1TlyosWk65unDNTAN9mxVXHeZIaj1eeRgn/mFJlfubDIxtcz9T3pcf0mNxf4Ky8sTbNxoeXCv4h+9usdDezVb13ss9NosL81w3eV97n86YaY+xZUX97jQbvPgs1PUdZMXXWa5dPsQZI8njgrWz0Scn4+4+wmPYaSQEhJj2bkp5LteHNLtKTZPG667BMKwwVK7wVI7YKXn0ekr2j1JpwedfkKnl9DtJ3T6hpW+ZWkgOd0RtAcjXnLpPL/6Y8u86BJ3cbS7dTr9gG7fozvQdPqK3lDSHwi6/YT+IOYF170oMlb93Du+9x8cajbqn/M8zzzf2HreM5nDYZ8wHPzQyaMP/8782QMz584v02pIlHKBIu5/6c1ZgEJYpLRIqXnowAZ+8f2at7xkie9/9RK7toScW5wg8OvUA59G4NGsa7p1SWvgMdnU7oIZJGwYGQYjS3cYsDRf49RJSxgbTp+LCQILCHxl0VLQHygEHnFf84Kdgt2bLdu39BklXb74kGLfoWle+8KA6y5f5sNftPiiwc4tfZ68X7FlSjE70aem6oSRx4UuNGuarRsEj+8Lue7SOq+4doE//vwA32vxmhstXtDnKw+GfOGBJs8erXPR5gY7NyXMTYfsmo24ameCUgatLGBpBAFzUwFh5NHt+zx90HMlCgMHxN4AekNLr+++e3eQ0BtYOgPLygDm+4rzy5bGZJufef08//AlI665qMnZhQnavRrdHNyK3kDRH0oGQ8Fg5AggjOGeex/yJiZmfmf9+geXXvXyG/9lt9f/41az8bzi63kFeBT2QPBjZ4/f9+tH9n51ZtTvUQ98bOqEWASgQLilRgiQwnXSKGlRMsGXkicPzvHYgSYHz1zgLS/t8dIrhky1JlhqN2h2akwMfHp97U7OUDIYavojzXBkGYaGMLJEkSVO3D2MfawBqQSeFtR8wVRLMN2CjbOGrRv6zE63+dIjcM9jHtJM8toXerxgT5d7n40IhxO85AWC9mDAhcUmN11qmJ3qU9cBw1gx34lQRvCCSzWN1ohH99d4+XWTvPiaLo/uV2AneeEVPj/6PUt8+fGQOx5qsvdEje1zio0zdaZbDSZbUA/A0xYlwVjYe1SQJIIoFoQxjCLcdxwlDEaG4cjQHxr6I0NvAJ0RzPckF7owMkNuuXaJN720zQ++xhDHE5xbaNLp1egOfHoDj95A0R0o+kNBPwX3YGgYjBJGoWEwMlxYPMvZv/jSTG9g/vM//O6X6063//6J1vMH8ucN4OFoESGSH71w8u5fP3/8jvWKPs1GgBy5VU0ACIlAIIRCCIGUpOAGpSxaWTxlqHuChX6dj311K195rMPNV63wrltWuGpXj3VTDRZXGnQHAf2BlwJbuXsoGEWSKBbEsVvqbbpcKGnRGmo+NOqGmVbElvV9YnocPB3x8btrHDnZZCqoc/0Vmpuu7vDggTa3f32CGy+psX1Tn498VaBEwEQrYqU3wlhQAuYm+nS6Piau86abL/CxLzTYfb7GG2/sE0aL3P3UOqKkxg1XrOeN13e4ZFubrzza58mTDZ446rN1RjIzIWgEAt9zF6EUIITFWDDGEsXpxRpZRpG7kIchDELoDgXLI8FSF4Qecu1lK7zru1a4+YqEdRN1ljsN2t063X5Ab+jRGxQrQX8kGQyhn144w2HCIDQMR5ZRCLFVnD7f5o8/fsf6QWR//W3f/TJ79vzSBzZtmPn7D/CFtkVpxNRZYZfPf+aHk7j/nu6FZ2a17dKoBSDilLc1QjiUCyERQiCEREmNlAlKiXR5NnjKEmhLXQuWh4rF9jSfuKvJA0/3eMk1K7zrNStcu7vNuqROHAf0hzV6A4/BSBNGiiiWxIkkMQJjhcuCCkvgGxq1mMAP8b0RpxdHfP5hyaFTPkdPTaNMwO5NPpfvUrxwTwcVzPPU4RZbphpceRFsnFtmqTPBVVsksbF86aGAUV8y1Yx53Q1DPnd3xIlzLS672OPsypBnjnhs2zDNNbvmuffJLvc/IxiFPnt2zbBnW8CerV0On13i0Gl4aF+Dg0eaNLQg0JJmYKl5IKUjBmvdxRonTjqEiaA3EnSGgk4EoYkxdsiLLunwru/qcPNVCZtmAobDSRbbNbq9gN7Qpz/Q9IaK/lAxGAkGQ8lg5PpGh6PEefwjB+5BaBiGztEJE8X82Ta//9E71z9ycP49U5ON+F//9m0fnvT28+9/9p/9/QV4kgxB1G4+Ih/5gFh470xLn5v1hE+jXkOkZ0cKixCkrI1jaylQSqCVSh8NWiV4WuBrg+9ZAs/S8BOmaoLuyGO5M82n7pngq08M2TDd552vbLNn25DhoMeVuyzbNipGkUeSFGl+gUVKg6cTjp+3HD0nWBkYPntvg9ML09jQY7qm2LxOs2Oj5qItcOXuDkYu8L7PNVlamuTGPZord7f5yhMCEXusn5Y0GzH9yEdaCVaitE97KDi/JLjCNnjlC7vc92idzbM+N145wz/9ngU+9IUuD+1v0ht6LK602LW5zmWb+txwaZe3vbzLmaUlPntvwGI/4PhZj9OnfTwlkNKtesZaEgORsSSxYXpdxNVX9BmNIvZsG/H2V45YP6mYaQVEUY2z8zX6A5/+yK1ygxzY0oF7JBiOcCvBKGEYGkZh4iRQZFOQwyAS9EPBINGcOt3hyU/cP/uaF8387mtvXhd9+NaVj37go7/Lj/7gz/79A/hP///+nA0zNfGhj/3BruWlfZfumt3LG16ssbaFQKagLgAuhUVKJxWklCgp0UqgVfqoBZ5O8LXA9ww1z1KPLI3QMllLmK4L+qGkGzY5eqrJb350BkyMiGNeeHWfXRtD4hiMNVjrkjhSCKQSaM9n/wmfvYdqNGuali+ZbQjm1knWz2g2zyl2bEq4bMcKiVjkv396guMnprjxUo89OxMGcZevPxUwVfdYN2mZaoU06k4KGSNpDxVLPctiO6Hdq/OyK1d4eG+ffScUUxM1brhiih9/0yL/8zPw6KEmvYFlpas5vzTBxtkG66eH7Fg35F+/o89Eo82TR2H/SYnnWZSyCGHIonNrIY5h58aEl1wVk0QeURxgbYNh6HFuwWcwcivaMFS5fBuEguFIMAwda49Cl5UdjQyj0DCMTPqezZl7EAkGkaAbCpYjQS82JN0BDA9PzTW2/tF/+WeXxLe85pZPvOOV/8NObv2Zvz8A/+lf+zibN82oH/q3f/rWP/zMwvseevwkr7l2gl2bOuzZ1kNKd1KEMEgRIKVFSQ+lLEoqlFKp3pZ42mlO31OMPMkoNARhwiiy1CPDKDKEoWUihlFkGMUQxoJhJBklAVFSY9+hJk/sg8RaHLSdNvYk+MrVfLQCuHITTNRhsimZbinWTWnWz8D2jSM2za0Q2SX++6cnOXxkkusuUly0VbJ76zJ3PhNzfnGSF+6STE8Yav6AQAZYJYgTibCWOAlZ7tU4v+hx3Z46L7i0y72P1tgwLWjUWlx3qeFn3rrI737G8MzpFis9w0pXMb+smZ1qMj1RZ3pikolGxFwzYsd1IYEX4+kYpRKkcMGExV1UUaS4MK+JYkUUK8JIMYrSx1AyiiSjUDIMJaNQuAA1FIxCyyh0x3UUJoRhqukj9/4whGEkGEbQz8Et6YUxZtjnBbuX+Znva3PT5fONRHkfXjlxm1H+9k+vnPy9ZGrbT3/nA/w//NbHmGn56vDJs28/fOzsH3/9yTO1hFm+8GCA1pJf/fEVLt/WRckEqYwDt/JQyrhHafGUxdMKT1u8UOJ7wp0ETzDyFWHkgB5FljBOnCsSl+4JxIklSQyJweltQw7uTAppCZ4HgRbUAkEjkDQbismGZHpSsH4mZsfGPq3mCp++L+Tup2ZYWZjg6u2KHZs8Ltk2JBErfOmhBk1PMzetaDWGPHUYnj2iuWqbpT9SXHNJxNW7LefOJswv+wyGDV5/fZevPTng4GlFsy4J/Amuusjwqz+8yF3PDPjcXbMsdiw71icstzVTE4rJpker4dGsW2qBIfANgU7QykktmbZWWotLWBlBbCRxIohjQRRLwlgQRZJR5JyXMBKEkSUMYRQlhJEhLBHHKCrfHbgHKbg7kaQdQX8UIaMe1+1c5ld+YonX32DoDSYZ9Y/UjKn9KaPaP0lY/8nT+z+UbLnsR76zAa6EkfNL7e8/deL07x/cf6I2Vdd0Y0UoJX99vyIcKd7+qg7vuKXH9ERCVxq0TFKd7fSwpzVepAm0Yug5phl5ktAXhJFwJydSRDGEkXQOQlzYfnFiSBLnLiQ2dUpStyRzZ5R0ssfXgsCX1AJJsy6YaFimWoYNMyPmprvEdoVPfE3yoS+sY32txtXbBds3eezcbNixaZlPf92ytFRjz0bF9AS0GhHnj0kuLAf4u2AUCeYmJVNTcPCoZbljOLdQ45KdNV79wi6fv6fGuhYEvo+SU1y1W/ATb7yAJy/w1/dO8+zpGhs6EeunYiabilZd0ahL6oEm8CHwQGvnMEkBUpRAjruwEwNJIogTUqBDlFjCGKIocaQQGcLsMTKp7Zi5MqkFGTtJ0osEnVjSjQzhMGQy6PB9r1/kHa/s8ZrroNNrMRgFhLFPuHisZrzGH9WavhbS+3Mcz3xnAvy9H/gMSWJ++J4Hjvz2oUMnJuYamkFsUULQER4j0eJLD2m+/kyNs8uL/LO39ZmeiBkFNTr9Glr5eNrD0x5+mBB6Gj900iSMXCrdMY5wTJSyUhxDlECSOCfBGBdwGWOzHs4U3A7gLnAVeNoBpBZAo2Zo1WOmWjFzUwNmp1e4b1/In95eZ//RKXZOeuzeCFs3+mzdAJdt79CPOzy4d4K68pibVky1YKo1Ynoyxvc1QriLazDyWepErPQt7V7MhWWf7RtbvHjPBW5/qM/+0xM0gghP+Qgxye4tin/8mgVedNkF/vT2Fg8+PcViT7N+ImaqEdOoSeo1ReAJAk/ieS5WUYrUPnQot7geVmPIgR4nJl3dUmsxNsSJA3ccQRjb4p4mdIaxI5V+JOjEgm4Mw2GMiQesq3d49/cu8X/9QI9G4NPu1hmFAaPQZxR5hJHHoH1yohnJ/z4xc7V/9Nm//NCuK972nQfw5ZU2Sqkf+/0PfOrXT506ta7mS1SSBZCgU5APpGRlpPntv/DYe3iZN728xyuv7bJhNqTbqTMYBfheTOB7jEJN4Dt7LwN4FEnC2C27UZx62gmp9UfK3BJjKcDtkpQpc4NWLmHie5aab6jXYlq1mOmJEZtmO5xv93nvZz2+9PAMS8tNLp4TbF8v2LLeZ+t6wa7NQ7S/wsfu1hw52eTSDZLplmSymSDliNPzlkBLpABrBWGk2bG+w0MkdPqK5Y7l/FKdS7fWeNsr23zyKz7Hzgd4OkIID2ObRLHkhbuW2fEDHb70aJ+PfGmGR4412TItmG0mNGsJNV8QeALfc7GKVrjAWYq8JsPiLjJjcU5L4gCfgTxOnKRzYIcwcbUuYZY8igWDGLqxpBvDIDQk/RFbZ7u84rpl3vzyPm+43qBFg+WVGqMoIAwdsEeRJowVcaJYuHBuHd4l77n0BW9Tg0Hn/fX6305N+d8KwBeXVtBa/9Nbv3T3rz/x5DPr674lTgQqdsumy0IKPCnoSUlX1miHmo/dWeOuJ7tct6fDD7ymzxtvbLNuKmAwDBiMfALPI4w9wkjngVIcK6JEEseSKBHEsSRJBIkRhdY2glyVWPKLTCnnOnjK4HuGwE+oBzGt+ojZqR6DaMBXnrJ8/M5JHnx6imnf46otlk0zkg3rfDbPSbZuCLloyzJPHhvw2a/NMak0c5OCiaZgohHR7id84es1Wr67uI2FwUjzppeMuPUBVxPT7hkuLGu2rm/xlpf2eHBfl70HfZpBjJLCgdw0GIZO6//jV7e5dNMFPnZXh/ufneLEcp2NE4LJmqXhG2ra4HuglUBJ0gSZ+95Z+ZFJpZoxxQoXp0B3BAFRIoiSFNiJYBgL+rGgl+BinjCkWe/zltcu8f2v6fDCSxM2THsMhk06PZ8w8hmFxTkLIxfshrFiFAoGx/ev9xv3/fruPTeb4aD9wVr92z9W7tsK8OXlFfr9Hp4WP/Tlr37ttz7/ha+sW1leoeYpIpmCW7jUsmNx8CUEErrSo+8pTnUCzjzQ4IGnenzy6i5vf/WA171kyMyUTzgKGMWODaJYE6VAjxNFnKQJm6QAuLEpc5uipkykNqSSro5Da4PvJQR+RD0IadUHJAz48qOSj351iqePTiKigJ3Tlk1TltkpxdyMz8ZZyea5iO0bO5yc7/IHn2sSj+ps3SqYamkmmjDRiBBeSGfQZKplEUJgLUSxZCZQxCamG/l0+wnLHcXp+TpXXNTiJ//BCu/584Dj8020itILQxPHNYahZOO6gBde3OHqi3o8c/w0H7+zzu2PTHGmXacZKFo+ND2Lry2eAi3dMReiWl1nAGvcRZcYQWIhToTzzxNBmLgk0SARDBIYxJY4jjHRiHW1Aa+/ZYV33tLl5qsiJuseYdRkuR0winyiWBNGXhobpaturPIVN4okUX+FZx6/a30Yyd/aecmN8blzZ/6k1WzSbH37gP5tBXi/P6Beb775gQcf+Z9f/cpXJ4aDDvWaJk4sIl0mM39bCnfgdeKKmXxlqCeCvvLpx5oLoxp//UCTu5/uc8MdPf7593a5fHuH9VOKiYYmjHzC2COOC5AnGcCNxFiJtU4S2DygTFP9yrogVscEfoynQjqDiPlOxH/7dI2jF6Z5dO8U1visqwvWz1pmJwXrJhTrpjw2rJNsXBezZa7PuqllvvSY4ZFnp7h6q2C6JWk1JBMNQ7MeIrwRQaDRyv19ayFJJIORZjCMiI2gOzB0e5aljse5xQluuqzHi69Y4WN31KgvKbSMHCCtJk58wsj1eM5O1XjR7h4vurjHQ684w/F5yZ/ePsWFlQanFgN8JWl6Aj+TYSnJ5ESeSRUck8dWEBuIjGCUwDCG0FhIYogjpBqxeXrA1Tvc+bj+8oSJuiaOm7S7DthxCmy3wupUNhbgjpIU3IkgSiSd5R4P3H/3uij2/ucVV127PBoOPvvtxOS3DeCHDh1i8+aN6gN//NGL9+07OLG0vEKjponigrGVsESpVFHSohPQicBTFj+21BJBQwkGStDXAYPEYzGsc/sjk9z37IBmMOKfvKHN1nUxOzcPuOnKLlq4FjEhnFxxWUlXK21tibmxCGlRwnnmlhhkzDNHJQ/v03z+wRbPnGgRxg1aWjFXt8w0LdMN63zwCc3MpGbdlGDjTMzmuQGb5pa5++kR7/v8ejZNaeYmYKKpmGgKWo2YejDivgOKYajxmg5U1grCWFLTimsvHfDAU1Ou8GmQsNLxWFgJOL8wzU++8TynFhZ54PE5PAmICAM5gEahpDfQTLdqTE00efGlfV5xdZ8feNU8+04abn2wxoP76hw40iQWmtFI0Y8UKi99KAeeaU7AGmJjscbgiYRJP6RGxIuv67Fr05CtsxHvet2Iui9p1j3CsEG766crqU4JR+Veu7vL1ffcpnRx0yhss/fpr030Omcvfvkt71BHjhxOLrpo998dgO/bt5fp6Wn/scce+ZF6wG8PByvUax6JcdRZZCYFUjrGVjFOIiQWHYMnBZ6xBImlpgSNRDAyMEw8BolHP6nR7Sb81semsXHEhrkhV2wfsm4y5u2vHrB9fUgUiVRvSygxN1mWVBqEFHzqrjpPHm4itOb4mQanzzeo1RWTgWCqaZmoGSZq0KoLJhuKiZZiuqVZNwWzUzEb1g3Zsr5DYlf41NcmGPSaXLLVMtFQtBqSVt3QqsV4XsiXHqgx6ku89a5bNJMozbri9TcMuOcxQ28k6Q0SOn3NSldzbrHB5btavP3mDo8+0+D4UgslDRCletkjShSjyCVmekNNu+fTqjdo1kdcvnXIjZcNOXmhzbGzK2gv4Ykjmk/e2UAoV7jG+PxBawAD1hKFCTs2xLzz1QNmJxIu22HZsA6S2GMUtohjj+WORxwpokSncZADdAZwFxPJtNanbAAURkAUu+pHYzWnzixTm0h++5FHH+nv3LHzQ/v27Q337Ln87wbAT548yYX5+UvPnjn93icee0T6nnQtVYkrXFLSEkubghviNAUfG4GOnU6MEouXOA0YaEstcYFpaCxhIhgZySiRhMYjMjDfm+DOJw2WhL960I1swJr0nmXxUotMZBWJEqkUcaSRRuNpSSuAXXOWpmdoBIZGAI1A0KxLWnUnhyZbkukJWDcZMzc9YvNcl4Rl/ttf1rj3qfXsXgfTjZS9G5JWPaZRD2k2BtTrDQIlUTLV4Dg5EEUew4FgMErojpTrWhoY1zLX9Dl1fpKXXTHiZ95xnt/5pObESoAQBmsjTGKJYo8wkgxHroy1NdA0a66upxE0qAURrXrICy8J8b2I6y+JedctfbSK0ySQcfX2ZVGeSjpjJEJIAk8BPsORZnFZu7qdJIt50nssixgoLVzLwJ0BO0ssxWnQWrx25ztOXOvdgw8+JK2V7w1Hw6+NhsOnvx3Y/H8N8C/e+lc067p+5Oihtx44cFAoKRHSlW/KFNQZuJVyCRipLCoBlThtGCegE9f7GGcRfZJG9Vlkb0Tx2ghCI4mtJDGayAQkqe1VvuVZytSW1BI8BbW6paYtNZUQeBBoqPmWeiCo+5JGXdKoaQfwpmCqZZiZiFk3NWL9TI/N6xd53+cNH7l9A9umFLMtw0RT0Woomg1o1BNa9Yizi4bDZwNqvrugIav0EwxDza6Nho2zQzpDn8HQpiwuWelqWvUarcYU77rlAkfOnuOPPrsFLTUWQ2ISYmOJYs0oVAxCVxTVr0kaQ0098KgHCe2uizF8L3EJMy9BS9coIWWS1v3YUmOJK+F0IBe0TVplaVxckyQSYySxKeIdB9AswM+elx5Tli7A7ZJMUSJIkixf4YCOEDz99FOi1x+8devWHYc/85nPDN7ylrc8vwDfuUX4K51zvzDonv8FYUPp+85/llLmAJfSkkhLYtJa7kSQpPIkNqDTL5lkyQdj09c2f694XlTKOS9X5IFSWXMDaSbPpgGtQUvSmhbwlMDT1vnGWlALJDVfUg8U9ZqiVZe0GpbJZsJUK2ZmYsTsdJ/tGxZ58MCIj921melawIaWYaIhHLjrkmbN0KzFtBojHtwPT+xrcPGcTXVvkTYfjBTXX2a5ZPuAh56eoj9y7Xm9gU5B7tGo1anXpvi+ly/xxIELPLB3I1iFMYkrh40tcWTzepLBSNMYWuo1Rc03BL5H4CcE2qB1gqdddlgpkxaxuRUWYREUeq4Izl0JsckcKZPZryUrNgO2cSAuXpMDO7s7AksfS/f8XCew0u7Lo8dO//veyPeDWuPXgPB5A3i/P5DhaPArB7780X/ZXTnr12te2jiQ2k1CkFQA7oCt0qRCoizapM+Na6A1CfnzJMu42SzzZjFpJi5LVlhrKWXeKytulqrOEjpKphlLRaloy2X/Al9RCxT1QNCoC1p1y0QjYbIZM9UasW5ywOa5ZR7YP+BX/ngDJ05NcdGsYaoBE3VFs65o1qBZS6jXInxvSHvoisU85eKP7JaYTIv6TNQj+rGhn9ZZ94cJ3b6kXVc0ugG1oMXOjRG/+iNt/sOHJV/fuwGLwlhDkhjiJCaMDWGkGIaKQSCpjxQ1XxL4lsBXBNrgec7v18qmdT7pqprKFCFstUE3Te3blERsWsuSpIBPTPHoACrTR1EAPH2elKRIlnxzF0BKWmk5hUkTTUeOnfKl1/i5d//kD3n/aDj4d7Va/W+czv8bA7zf62BN+GuPP3rvvzh+/HRNKoUvLVK4LyclJNJdsUoKYpUB2WKkA3eSgttkz43AGJunkU3u0YI11nWRpyWg5TtjAM9Kb0UGbpHVlDtJpNNWNE9LAt8NAKoFbiRDPbA0a4ZWI2GiETHZCpmZGLB5boUH9vX5Dx+aZf+JGXbMOIelVZc0G9Kxd93SqCU0ahFREvJnd7SQSuFJixKFTWhstoR7/OPXLnPbIyHdMKCfArw3UHR7inagqfkBgTfBZdti/tOPLvLLHxLc//QGjJUkxqXVo9gVmo1Cw6jmyl2DQFDzBIHvMpu+tnnGVivjZKIsbNsc4EXKE0hJBJdLcG5LGshnAE6nDpg8uUbK7uQrbrY6FwC3pUdbfUwMWivOnjlZu/POe/7PW255lWi3O784Ofk3y3T+jQG+NH8Ya82Lz596tK7lCITEmDQVn5CyNyhD+ihIpCDJ08MZuDP54d4zea1E0X7lgC5cHUUG6uzAj32uonczrTORFMVUaR25A7jE86Sr3/AFtcDNPGkECc26A/dEM2RqYsDcVJsH9/X5lQ/O8MzxWbZOC9Y1S9KkpmnWXP1KvRZTD0I8b8TpxWk8JVDSpLZcEWQmiSSOFZumLXEc0YlqaaeMYTBM6A4l9b6i5nv4Xg1PT7Jna8x/+qfz/NsPwAPPricx0gE8sURxkjK5YRQYaqFk6KtcgnkeeDp1rpR0uQCZxkkCRPq4BsadXCFNCiHy5JBJk0NZtjhJSu+bQnImJWAbU5zvHAdlkBuLNdDuDLnjzofqGzZte7GQ8pvi8dsK8Kce/SKDQdw4cehWX9olmnVBlAaJMgV0otIvljigG5O954BujCXR5F+yCuxMhtgc6DaTI9nz5/hsUhRFVFKClCIHt5IybZTI5AnUPAh8Q71mqQdOPzfqERONkKnmgNnpNo8cHPLL75/mqeNzbJ5SzDUNk3VBqyZp1BSNuqBecxeHS/WHPLBX0Bv61BTpReY0eNaEkBhBFGuaNcVNV3Z58JkJ+pGTKYNRQn+g6AaKwFf4np/q5yku32b4jR+/wM//Idy/dz2RkUTGpM3SRQ/myJcEvnHs7RV19Fpld1KZUsi4rNlkLZBnSSGbATwFfJI7L6y58ppUX5sSiSWJTX++GugmvSCiBE6fW+aDf/bX/j9913c3/uIvb+2/823f/bcP8DOnTzA1s23qmUf+8g96vfDl1ho8LRHSOIYuX7HSaW5TWrYcYxdXuVFibdYuAdrkwC6agkm1d34yhMuUCpmCOy0yUjnAQaUVg54G38N1AvlpgVWQUE/lRas+YrI1YLrV4fFDI375/dM8cWw9G6c0cw3DZB2aNUGzrmjUFY2cvRNqQUyrMeTuJ3xW2jWmp4s0eQYYk2rTKFGsX6e45QU97n7YuC6a0JRALql5kpqn8bSP1nWkNFy+zfLrP36Bn/9Dy/371xMZTZRWALqyV8fkQSTz6kJfS7ROi7CkQOns2JB/vuwizKSKyKrSKBJC43dTejSm9JivvFVwlys7k9LrIv4qXsexIY4GL9+7/8gHfvSH3/FTx44dX9m5c8ffLsBH/dMsjC78/PLise8f9hfRWjsdZyAR6QeVY0uUEanOzq7y4orP5EeSyxBy9q4EkuPMbbMkkshBnuUvZKnGW6miYlArXH2Gtnieayyu+Yaan1CvxTRqEc3aiFZjyMxkm0cPjPiFP5zl8SMbWD/lsb6RMNmwKbhT9q5J6oFj/1oQ0whCYjOiGwYIJfEyBs81uEjZK/WLI4+mP3TlAmGN6Qzkw4S+7xg88KWridfZBrSWq3Za3vNT5/k3v2+4f98GIqMZJYIwMSmLC2qRIfAsvud6V3Uad2jlSoSVlOnxSbvys8dSYVZ+YZZjnTFw5yRUIqYyuPO4yhbPy+9ltfo5qyfpyoDg3PlF9u0/9v1fu/+xw2EY/du/VQa30UHQW3YceOz9V2t7jGYdrDUkFqSRKFkEGsrYIggxNu0oyYp6bAngIj9QiSkfMFFiiiIractrZsba5aAyW27TDh2VBlNap51BaRFSVj1Y85JUN0fUayOmJ/pMNrs8sDfmF983y2NHNjA3qZmrJ0zWLK0U3PWasxMzcNeDhJofM9EM2XvMctejTXwp8ZRJg7jCo8iW7yhRxEbzyhdGXHxRj8Mn6sw1KPocRwn9YcrCWqG1l1ZiOu/6yh3wGz+xwL/9Q8PXnpljGNVdMiy2NNIa7sDDgVxnq5fJe1ulSvIVTklRArgogZxVeqUAua0CPK9QLFbetVbmgt2pMnhJ5iTZzxLF43vPEKmHr/7FX/jxHQ88c/r4i6/81rc7/JYBfvrMBc4uzey0/fv/q4kW3uyrNgQ1V0ecWXyy8EnzwCO3lywmyeSIWLWkZf6wzT3tMZdklVuSMvc4uIVFqswWTGteVMra2uJrg+cZAs8Q+DE1P6YWhDRqI2Ym+yx3+9zzNPzGRzfy5KFZZlNwT9UtrbqgWRO5V+6cF+PY23cArwcjwiRhOKhRU+4ik0JUKvmyRIoLNLXT8nrEKLQMIlECuMH3E3xP43nSTRWQXg5wBFyzS/AbP7XMb/15zP371nGmPcGwKZlKLK3YUksnDgSeTb3/zEmxOXtnUiVP0OUAF/nQpQznuUJMT0q2qhbgrkpKV81ZAnsF6Jn1W6zmSQn0Ji386nQGTJ5bfvPX730g+Qffdc3/uXDh7LHZ9Zu+vQAfdI6h9IUbF88efGv3wlEC38PzEqSUJaYuGDt7bcpWkhK5JHGgFunSliVsqlKkDPDsEJdVYXYS3LgHStnTFNz5cCBXFutpk46ZSHJwB34K7pke88sDfv3PGnz263Ms9KaZm5TM1VJw15zubqSBZT2QNAKbMrjT3rUgBEK++rjPcuSzLqBSj42orlBJ4pofJgLNq6/r88D+kG4UMJl3rBv8katV97UDuFauIVtIl6DBwp5tkt/55x1ufWDAr31wA6cWphlMaaZ8QSs2NGIIIjd62VduoJGXBZpS5EFw9lgO1MsXphB5r0h+fmBMQpaBXYqfTAn85TzGOMiTUoCayVulFPv3HeDpp9a/ddts/c86vcGxbyuDR2EP7TUuOXfi7p+NOo/jaeXqSkTiAGUEKklTulnmK2PwNAOWATrX2jmoMwliCxtqnLXLsiQ90BmzZOnmzAVQGcCVdeW4OuvtdP2dvpfgezE1PyLwI1r1AVr3ufuJhA98YYLP37ue0EywfkIwW3OyxFmAmU+u0rtImbvM3hFaj7jv2Sn6oWZTI/s84wyerW6ulLTmKV58+YDYOIAPIuG61rPO9ZFxwaFOZ8Ok9l423M4imJ0SfP+rerSCM3zwCwPueXYd56I6/ZpkIrY0tXUg12kcomwal9gU5NkxFEXtuARJweLjOwrmUiUbUcG4Ni93DxW15xmjJ2sEp0mJADML0gJKKu64+2ku33Ppz77ljS97rNPtH/xWRsJ9U4BHg4OYzkcw3vTmmj34isnGSeK4QZJmtxJrUUZgpCQxFmUL5jamLEkK9q7IkUxrkyYTKsAuWQ9l+yofDlSuVHTJFCmz0W4mrflOwa1cLUbgRfh+RM0LaTSG+H6fj96u+c0/Wc/h+Rm8oMbGlmAmSJgILM0AmmmHfT1w2c5amhBy9StJuhI4ebLQSeiFPn6a+FIl9s6+SnZhZ7UbYexR94ZsnBqw0m8xiEQ6bs3FCp6XpDafSu1OlY7aKAeurvLxzTf3uP6KeX7jT4d85EtzLMVN+oFH05NMaFeDE2jwFXkzhM6SPvkcGpFngbMEUJlUqmKlDHQqK7CxValZaPOx+yqzoZS9zkoxjObxo10++ZWnXnFsobf5wkL74CPPnuBFV2z/fwdwaxNU6y07o/7D70v6j9CoxYyiiDgtvFHW5Gykjaykc62tShRrivqGLHjMDwKiJEnEmDTJwG0LNkmzb7IMcGlR0o2eKJg7SUEe42snSQJ/ROANOHY+5o9ubfKZr63jyPlpJhoeMzWYDhJagU1T7xm4ZQpumSeFaqn2Dnx34Uw0R3z6Ps3B43Vq6QSuvF2MAuX5GAfrdHgUa/bsgO+5vssHvriOXkMzkc4eCcI0blAGrWU6to4SyL3SyXLnYfus5Bf/UZ+rd53iDz8/w5FzkyzFdfqepqkEjRTovrTuwkldpnz1y45rZh9C3rDi/s+u9skzYspKJ3LffLWlaMsgtlWTIffPU7AnafY0SqBnNZ+79wCvvOmq9/3EO294w7nFzjeVKt8Q4GEY4Xma9vx9W0ftZ3eH/QFSBnhehFKSJFGlQhyTNvdm7F16XineIQe/LbO3FZVRyTY9YWSMnYFcFMB2j0VBl5ImdU0y9k7wdOw6d3RMEIzw9YhuEvLeT/h88NaNnF6cwqg6M5OKGd8y6RsaKXM38vS9TOtUUmmSeuc5uH2XvRxFIQdPBfTCgOkgdXGypFPmSmRZWFuqSYk0E03Nrq0hKhjSDVsMfEE9sowygOskTdQo52PLrAR4reBVMTfZ5yff3OetrzzHB2/t8EefWsfCoMlA16hpRUML6soSxNaxedonq2VR3pBlOVcxOWvIlXGHBaqxVCZDSkRWZvE8Tsv0d1qWkdi0N9SCkJKVlQH3PXxg98bpxtY3v+aFx5I4QmmP57p9Q4CL+AyI1pxW3ifOn3/EqwceUiR4wmKkQQrjumeyskorXVFOqQotZ2yTMXcJ2CngC8YWz5GhtCU70ObArsgTmVbJqcQBXCdoleB7ETU/xPdC2sOQ+56UfPT2CT71tXUMkxa+77POF0z5hqZvaQSWhl+AuxZIgkASpNLEJYZSZyIFuO+5zOfRs5Z7HmkQRh5B064KMLNbkc52RBBGCs/T3HJ9l499ucf+U00GNTeaYeRZ/Bi8yOCFBqWcHetkhCyG+1Acz8RIYiNpBJoNUwP+zff1uXz7iI/c3uLhvZPMD5oMlY/naWpaUJcQZAOWMns1rSvKC9ZE6finTD5enFVm9Iygxh2x7HWhvUWJzcnrjeKMACyEBsL0fd/z+PLdT3rvfP31nzhzvv2CpZXe/N+YwR86ulnWzOM3TpnPTE42l3Lf2X1AiZYpuK1EpQMsTVowXwH3mCzJ7xmwU4lSZvBK4U86MRxh00SOG/WWlXs63W3RKnEAV0kuR7SOaPci7n1a8MdfnOD2RydZareQ9RqtumLKs0z4hoZnafiWuk/K2o6564Gk5itqvqDmk1bomRTchsBz+lvpEQdOwel2zSVWUn1bTZwU9TOuD9KBPDaSMNRsmBBcsm3AUydi+pHHKJ3x7Yc48Klssm6WqAE51pmTXTyZDRklrj78nbcMeN0Ny3zlsS4f/tIED++dYLHboC19er7GVwJfCgLpGsG1dLvUKVFcpEqkZb9rMPiq+pVxJi8RmqEUeFpBAhU5kliIDETWMXde628tiYBTSyF/+pnbJndsesWNV+659It8g+FB3xDgKysngxNt+ft33na8+e63dti5ybUnuZ5HmQNZ23KjrwN4GdyV5ybToSWAlw5IhRcq0sRWCvSdLDGp5jYombiB+JmbISPmuzF3P6L5wr0tPnvPJBc6TUSthtfymNAw6blOnrpHKjug7ov0LtOS01R3+4IgY+8M4DrG92Nqfoi1EV99NOD42TqzMwJPmlTHiqLRt8R2tmShJoliMPLYsUFwy3V9PvP1kF7kMYgENc/1q/rpZKlilVK5X+3mqFMcVytKK6tMs6aaejDina8a8F3XL/JXX+ty670N7n6yxYV2g4HwGfga7Sm0cCM9PCnxhE2llkUhStKwah+uQeYVF6xgbpEHoMkYY7t78drkV0aS3g0mSdi9sct3v3C+uXvTTb9PdOZyYPA3AvgTTz/NwoUuH/+LhO2bFD/3Qz1GPY8k0VWQW+WcFCvzPSszWZK9zt6rnARwvZNr1ARWAsoSsN2ATidJRApwrRN8HVGrRQxHCftPw7Ezio/fMckXH57gwnITvBp6wqOhJC3P0tKGumepe1DzHLhrnptJ6MpMZeku0p/bFOQmB7nvufa0w2cMTx0NwPPSZd6WUvSigoJyEObqpQVx4sY5X7VrxBVbe+w73WBQEzRiQRBZRorU2jMpe2duSmZBFlol99nzpJtKpw94DEOPen3ED79+xJtuWuG2R3r8xZcbHDtTY9/pBuFKQBxohlojlZvqqwCdPmZMnksXiuB/1S13UwpQGwpQG8h1tvuZa3zORbtNUp8wBtLnvZi3v32RN9/Sp9feP2W8H/jBwcB+oF5f6wN8A4APuqfEaNT/2b/+6/fO/sj3LXDpjoQoNvhBiNQRJpSEocIYhbEqZeiCxavAloXuRqSgpvQ4Bu8sUs81n0tqOEli0l0eEoLATVKNk4Rzi3DHnZrDp+rc9WCd08t1Dp9pQhCgGpqaVjS1pamNcxE8Nzi/5rlxbQ7E2V2md5UCnFRzp+D2EgLPsbe7sEKOzsPeYw08WbUHc4lCUQ+eOwqZk2LSvsbY44odAy5Z3+fpIzH92KMVCUYa/NjNBFQlgEspEFJWmBzG7TeRB7NZH2WUeIw8n4l6yD9+7Yibr+5wernDVx/yOXIy4LZHG5xZrJEMPIzURL5K57fLfEMCSZrxhFy2rAXySqBJOUuduS2ZRjWle9pfm4E6SiAyCJ2g/Ij9JwW//5d1huGRqR/+/v7P+F78wdUo+iYAV4NP0SD+/u+5+almPRjyR59p8vEv1XnVDUMu3xmxZcZw8c4RykqSSFaWxCrQMymSArvE4hlbVz+ZLUXsBWvnUkQleEFClFiOnBQ8dURxx4MNnj7q8+zROp1RwCgMwPNREx6BEjQUNLShXvKBA53VaWRls64uPEhlie8rfF+mF4AttLeXuMyi53R+zY+wJuT8kmRk3cRcX1p0yWYbI/Ac5Imt9juGsYdAMzcTItWQXuTR18I5HVFRMKaVqWQgZWZSA2TDjhBYIwsmLw1G8hKVj5/oj3w2Tods3xDxwotGDMIB/+Rom6eP+dzxQI2njtY4cqJGFCsIFFYqEJJElrJBeZJiDa1SEeeZD5w9mtLj2N3l6dEk7N4VsWUmZs+ukFffMGSibvmDz0xw/yOnODT/ObR+biGy5k8+8JEv8aFbl9Tyyj3izIWA27/e5Kn9PkJY7niowaSXsH1rzFV7Ql57/YhXXxuCdW1R9SapzpZgBHEK/iyQrDB4+ZK3DtCk80s8bUEYhLREoaU/dIx+7JTkz28P6EeKx5+tcehkwELPZ5T4oH1QHmpC4UtBXUFDWWoKN85MpYVHyrG27wmX9CiD25P4qSwJfAh8UtfEpcw9bfC9OM2IRtRrIReWE+64v0W7GzA9KdCpF58VfYnnYjZTCgiNZDRSzK5TvO6mIbc9POBEu8nAk06maPBiixdlnnXqscvE2YWUZ53I/G8YqyslE0ki8RNFohWx58Y+RJHnrFQvoulH3HxVzIsvH/GWVww5cFLyxF6PQaj4yB0Njp7zQEj6A00Sqqx8E6szgI9ZRuX0bQXggDWIxCKMxabArjcTPM8grOHV14147fVDrrwsYsfWmEkPZidc88iWmQ53XGFpzDwoXvXil6pf+7HPx5sv+p7/BQZXM+/98Odb1xw4sZVREkMtxlrDfM8wbwxHlwz3P234xB0xczMx1liuuzTkna8Zpq1HMDdpuPaqkGYtXXGsyHNgq8+5yIfztPuCJ57ULHYk9Zrkwb0en/tajWGkGEaKs+d8jNBE1sMID7RGBBotJb4S1KSllgI7UJZAWVcDrlPPVxfM7Wd9mTm4VdqjKXL29j2D72cFWknO3r4foVTInY8pPvP1FsrXzm6r6O/nZvDMC0+SzPFQDIceb3rJgM/e1+EjX52kF9dopjrcy3R4lCVlbN4tJITMAeb+lCxp/RLATTraQTsm97Qi1hodJw7oKkEpN0h/uhbzkstibroswooRb39Vn2Hkxrn99dcCHtrrUw8ECx3FE0/7dPoyVUmC5xTl+c4TrjXw2msjZqcS1/SQGN75miHXXhJhDcxNW2amDdoVZWASSTh06mDPdsmODYbecHiNPz39XuAnvyUGv7DYZW6mOfGff++vLgtDoyIVgPLBRE4bKXelGWsYGcP5tuH8ihsac+BEg8/d6X5uE8vktOHGa0JadVcHvGZ6snypp67DSk/x8FM+nbZCaulmoljtmElo3FxgDVIjpcSTwoFZWgJp8KUDgq/AV8WMPgdyUTQ8aNcIkDUel8HtGD4tq/UyBk9K95hAR1gbcnrBJxzVCCYlfpr2VmlVXiWLKSjIq2Sd5t3pRhFGHtMtxbbZEF8MGcQBg1hQ124IZlZDkiW0lCyXt8r8b7m/kblapsieGpM2nxTSKI6TNG+g0rnsMVGcoCKXS9AqQcqYrbMmXTEMl28fEtoBUhvabcHDT2lW+hKVK5ZqUF0502kxVrNmePE1EZPTBhu7lb2u3LFzMldhIo/Qus9pyb6PIjGKKNIkxihhu5dtvOj7JuKw09F+tXdzFcAPn5rn5Lml93zl0WOvOrXYRytFZMEKWbJssj1gSpoJQ2wt7WwJUobOiuXsnc3SV1wL4GX9lp4cITDZlgukNadCFUGOlKmVlYE6TTtL0o1bM9+49KjTTnpFuvUeObhdW5fCT8Hta/ISU8fgKYtrg59mRz0vIggiTi4Y/vS2JmgfT4oiwMzliVjF4GV/OEuQObC5wTph5PGu1w34q7sHPHu+RS/xaMRuU1pXBWiLThyV5QTKwV5WuphJIVkq8MruJq+F0VrhJW5eipcCXckiaebqxtPnwqSDgxK0sAibMNswfPfLDIgklZmAyPbPWOOc5zVGAowiiTTZPJY4kkRkNqd7BFGYGKawQI1VKLGEiJ56VTK88T3Wxqv2RFkF8L+67S/RSvgHT5xiYNzJ9kVW9JKNRbNpBVlZU6Veew5+C8qSeCVwr4nvjN0ygFeDFyFl3oKmBHjCpZUD4aoFPelea0laU5F2j2eFRJrSHBTSndmKrvoC4DKXLYFv85Y23zelwTkxXsrevo6QMuT4OcF8p4bQmkBSkSey/LVKp7ssHSrAS52OMPZYNzFix8YB+86NGCSaYQJBIvASixenOjwmd5aKFLqqdCpksZ2btJvVWYuSNDLoxJAoidLZ9uUqLVZz28ooWdyFNKgU5CL727gpWULa3PXKgJ45YGsBvEjuFXFZZkpQyZ/INGgW6Z5DmVkh8HTMaHCQp578qL9WHnwVwBfm96MkhBFo4VGTzuuseJbpFZVbPmTqIwN+maq+kSwhzY6WCuuFQFKkiN1UKvCExRMpaFMJkD3P30vJvigFJW+w9ZVwYK+AW7pHPwN6Fnym4M66f7TJJYqnnT71/YiYiFvvq3N+vo43qfDLNRxlB4UxRVpOXZeqL7Okz3DkJti+8aU97ntySCeu0deaemwI03S6kkVBVFZw5jbyyv5SFmiK3JZ01mE6U8VCotzf1EYQK4FOZLqLnavliVOgF8k0kyfYpDSlxFv6XJbBndq8+V4xz3H+S4V25CYEFfetWrdUcuOERQrJYNjjyKn9+cZbzwnwD/357cxM1l/2W39y1/WdzllmfMeSZIyDLZn2LsVaTr3mH4hvvvFKLkiyZIEAlT0Ki4bcalNpytjNNyk0rsqAnQ30TOVJGdj5HBSF60dcC+BZwJnpbp3JEpvq7Wotue9F+F7Iubbh0UN10L4bAS1tnp7PGZwqi2fMVfjA5VJRmXviUeRx3cUj1k0NaC836MeKhgIvdt9FJW6AkorKAMeBPP9DcqxSU6R9k2mNvjIkRuAZQaIkiTIkShCnIC8Xr2XlEDIDeQnUWcmEwKQgJy1pzjLRRdKuUoxRqV8ps3npM/NcAHf/SRwr6p7hpVetv97W3/KyM0d+8N7NFxXd9xWAWxPS69vv3jZprz3vhSB1vmlTXgWWbYGBrbC3yQMb928ZVisSkX6ospmUXeVZVqwAh80ZfLyEU2e1EWkNeFbq6ZqLs04VJ0tU3r1SADtrvnXsnWpuTa63M0vQMXYBbi+vTowQRHz+awH3Pd1CBhpfCjd/O68gLM9nKddRFyc1r90pVWAmaQA1GHrcdOWA77m5yx99vkWYBPQSSS2xjGLSlatc9WdSOWfGLqjnYnIwWqa9kCIHd6IkShnH6FKmoyVMqRS5XANkC5BXss0Zk2eLdEmmitVkXh65V9SwFECulnVUwW6MYLltkf2Ja9dtGny3NebeNRn85MkzTE60XveZz93xj/rteSYbgjCd8GpSYJtSbUHG4qTsncG5rEgsles1/bIlBk/BnQFAlkAhKWoeyqMNMuZ2W5Bkr0kZnLwNq8LiaTeMp6rgduMUxpg77dn00/Y2T2cNB3HpHhES8RdfnSCxASrPXpYDzKKvMXM2KhqcsXY9I910qCQLNjUCj3e+us+f3TpixUQMkhqDRODF5CwupUXGIi86c3bh+PopKaxJUQK5INHp6AaVgly7BhadyHTMnqtgdNnj6rxJlU6oLdcJZbUqeVNKDvRCqqwGeHVtr4A8+3mpvKO4WNM6nlDSWelg/NE/2nP1q+9amD972+zcpirAW/URNV9d3Kp1do9GHQSBMy9SYJf/aFY8kxW3l5eab6K43ZfOmLwkT3Kgj5Vn5lp8THNmoC/P9lBKFFo8rbirDLtJga2VKJyU3A50HfeuMdmmzF0EmLrE3oEX8ughycEzNazyUFLiS4Mer9MoCfBxFyW7551ORpT8agfyKPbYvTniiot6fP1AnUj5DGJBTYKXWHQsUvmWduHEqQ5HOrlQ+ZOiAoxCGhWjPLLmca1MPkNSpdKvAHdWC2TTMoGMyclXD1ECNyKbmLU2e691s1nzKgWgy6tQVl6dN9ooSbvbpn+mt3tma3hxOIpvW8XgjxyYp9moc9++LsfmXVWdEhah1ggkx5i88sG+wcfOmbvM5ONAL4Fb5TXfhe1WSBbhuudFAW4XZIq8W1zn4JYVgJeH/7hue3Jg59nKnLkTfO0SO64rKMIS8cmvNlhcrCMC7Xz38kU4XoNSkFPFIsyab8t13Lk3nfq8szOSd9zS5dFDE4ySGn3lU0+cFs/KWZUkBXe2VpjUEy9HQ7JCUM5PtqULrNzoK1EmW5Fs/lzm26qnGlxm+x1l0kQWzRHjDD7WtFKk+1YX2o2rgHLNUvnzZxiU0rBjU4eJ9SeZqp0g1kVxYQ7w/+s9tyKlpL3cRhg/18BZgVBOPOU/XgkSqs/WZO/0/wp5MvZYBnSZxSvjxQrGlmUGV6LE4plckShdBbiv0wFAXrZ1YJrh1BYvT8Wb9HlSuWvlOneePQ6fuL3FSPooqdLsZfVCHM9grlqWS8ewqsNTLZ4o4kQTJJp3vHbIH3+xz5NH6kTKoy8lfmJS90ggs+0Zs1p5KXInw91M+req+xaVmTwxoHML0Y22VmlJgEpsMawzn8si8gs6HtPj7nyWi+UoMXkG8m+21ldBXLB59sPyhAVDI/CYkE+TLBwvLOsM4CdPnWHrlk2Nn/2l39v1yOMLhFh8JfIPUXyU0tW1ir3XAHP5tRh/vlp7P7dEETlwxschyxJjZ0FmNrVJ62yT11R7qzFwZ+l7L2tMNm5mSN4ilvV0xuk9QnkhB09ruqEPSqfyxI6Vx45fuNUDUh1oNOaFp904ReJH0/QEl20Z8uTBkMQEDIxPLXE12zrV4Eq4jVxdYsnmJz4LMgsmLyo9sw53nQ82de9lA1O1Ie0gskhTTAjIpmslWXd/bgAUwWUeeI6d7wwtqxomKi5TFVhVl6UKcABpBElSI0x8JszFu/Zc/7ONxYVf7q+b3egAfvbcObrd9muvu2zu5w88+xSRqtpYxR+1qxm8tMo8V0CZvyeqPxO4fE4ZCAWwiz5GVWJFVRmqmYGcokZalUCdP0+TPIrUC3fgdgAuhgJ5ZXlSZm+V9nX6IUtdw//4yxaLgxoi8Jw8kbayqhSDc76x5qxME8jmxOQM7hyVONZMNDTvfluXrzw6weLIJ5SagZT4aQ9lMfIhZfByPb0weRmtxaTgNnnau3BWRMrgNg/SM7ArKVIGd5IoyV0UcplS6PCinbCQKVngWViFlWMztsqtDfAS5iixe67HNcNlwab6tp8/euTQvXE0+CtIGXzvs/sIaj5nTp8k0AlaeUTJ2BCesb/8zfI32Scun+DqYMcx1qZIa7s5eeMSpTqYJge2FEhVjB9TJVBrKdGpJNE5wDPNbfKg0tMmB7ens/qLKnt7KsL3Qz7+VY9nDtdBekgpCbLS2JK1me8Rn37J56wmpGDzfKeKkkyJjUw3efK4anefN9/c4Y+/WMPogIH0CaTIkz5KCqJSQDfO5KLM5BU3oqiJMQqUdauCscKBO5sSlg5TLcZKFLNoism0ro9TyKo8yZ2VCgaK19/KbTX+RCmWcSUH7a4hPnma3sAnSdzGENr9dwrQeZmlUqVkRAnk2d8QNs22PhfIsy9Rckvc21lhvl01UKbiGeeBpSjYPGfIbwZwWQBclWqodVqX4pFLEU8VbolXGg5UaG7H3p52U6uW24a/vrPFQjuAWuqeiFIw9hwSJetlrZ6t57Dt8p5WVz3n3BTN9ITiH7yqz2fvG7LYCwiVZpDI1J4UqXsjimZsOZ5YMWldh3vL5Gxe9EbqzFlR6fN07LVJx2Fnx70McpHunJdLyVSeuNW5rMfFmFwRVYALi7DPjXaHtwx4lC7QYkoYAmqBpNnQxHHiAP7UMweYm53eeec9D/3MgcNncJ13DkzlsQ5l5vkmpI0tuQeWsZNdAnr1LtaWKFnipALs6uzvcoeLG+5OFdzZzgYZc6sSc69i8GzcRDFyQiuXuTx6THDgeA1DgJA6b84tqgfL8YMouRrFly/XohRMLkryRORORt5ulmiwmj07QnZvGrK4r45NfMfiiZMpuuTiFOxZLvTK6oVkaUVO2dwWPrmRxdzIcmyj0l07TLpzR57QkgUZ5eA2Ip2lkmlyMSZVxBgebP5iLZlSvCeKQi3KK6Bj88AXJKMzTE1c+jPbd7/88flzB4/pMEroD0YbR6F53fHTi0w0g2pwVGLiCrjHBff4BxrT2+OP+awQqiCvyhNRciZEKdgsAO0YnHQUcNkHL9/TLa1VGdwlkKf71XtpaWjG3ip9rXWEUhG3fr3FwYU6+IU88UrWZeWCZfW4iFWslLNnOeDMMppVLR6GmotmQ954U5+Hnm2A8YgTp8W9JM3uJlWpVDBnOVhKQW5tSaKU5EpGbDJdVWR2F+m2NDYft5wot+GBOy82J6Yi4VN+nrJ0qb0tb3spg/ubuE7jL8ow9D2BjedRMn6diYcbBckxHcausGqY3lvpL/+Nd40ofcCMuZ7THswOAlWtXcgUkZeBjgM7Z3MlSk24JXCn8wmLbTtYDWxdDAjKR7xpk4I8dvJERdQbIV/fr/irO5sMhj40NFoKPFGVJuOfv/yd1wQ4Y/p7zDIs++JRrJlsad7yyiFfvK/Pg/t9bNNjkAT4gvxCU/nfL3RwaS3NQV7OWbjgM73AlGPzRDo9bkqsnQX1Jg0upREl/S1KgW41hip0dxEXuPdEDvQyuJ+DN5/bhE7/pqIYhKqVweoEncQRceSaGXyvYMC8kXX8Hy9dMuXDtupvltl6FcDHJUp1omkRXIocNPm8PFXavUGJtDalAHcB8qxs1qJ1MUJZp5swaVUFupeztbsr5QJM3w+JwoQv3t/g2RMN8DyEVCmo0rkhpeBSyOpJHXeNsmNYLK1pnFPKZBqbTQuTuSeeJJow1Fy+Peb1L+3xxLE6o9gnkR4Do/ATxj5LYfNWGdw92rHPgsouNoNRApXJUymwCqQt9Hi+okqQpjTL0BSrhhwH+Hhcwhjwv0mmM/tv1pTIWVCPQEWSMLJEcUwUJejPfe5WtNYsr3TYMO2hdVULfcu3NRwTEJUTu0pzsxaoM8YuB5jFDgSFNClZhTljZwAvJqfmEiVlbsfYNmdqnT8Wz700uNQqIvBDnj4uuO2+Bv2BD00PKbLKQUr24BpZzNL3LPNSVovi0FUN5lclfEoFWGHk0WqFvP4lIz5795AnjgSgfYZG4qdaXBm3wW5ZGoiEXB6QjHm7WabaupUvly7SsXm2qmRBvrEO7NIUiTZhym5Kes5NwezjOY5VAB8D/Tiov+Et/ToJrrJwOGrwxONPE+w7hjEJ2iYdjBX4MmJ6QhMnxRTQ8r/xHJhe8yrLf1b5MqJyBa/J4rIE9rLmzkHu9HY5m6lUWmGYVhS6dq70uS7PBx8Dd3r3sim0aYG/VrG76wjPi4htwufvrXPP03WoaZCuodkrlfBWSmPL9/KLtc6NpeJS2XSsdNaMnNhsrkkB9NHQ4xVX9Xnjy/o8c7xGHHtYoRgIjZeQfyaRFCxefIS1mbw8xF6pjLkdm7vXAmlErsNzvz9j9Gy1TRk8H9o5Bu5KwFkBeeGqrAXs58J5ZRXC1dOEoWC+PQARAxa9btLZXX0PwlAxDE2+Z8q3YnWPAzpVVsWHHwssoZi2KvIlXYwdkDFgV6RKOU1fuqsxcKvSXReboGaA9kqgzpwT55i4R6UifC/i8WOST3y1BfggPYRQeReRSjdSlWPslH2f7NSI/JiUBF0pv1Awd0mDW+F2xFAyr5rL0vfWat756gF33D/k4cNukkBkFP1EpAVfKeiSDDilOpAx6rPWOhYvAT37qUpBb2S6n08WFGfaW6ZsLtxjfg5NaWCnLF38lQRYIUmK4/WNA821vZUiWI9iQW8IYZxfuujpCcdqUhoWlhxL2qxx1H4L7D3G2gVzi9IVmr5HacrqmO4upIpIkwWF9ZQBPJ+TVwZ52ppWbDbldnYoBuAX4K6wdukxa6zNpIpSMZ4XEyUxdz1Y56lDdfA8kC649IUtTY4tB1ZiVWAl1joh2amy2TEWJVeDqhZPW9mMSh2VRDMKPa7cPeQVNzoWHySOxUfCZ2hAJ6II/JLMLnSAKiSK+wBr1RlZm9rEyiKtQFlc9tMKhBVYAdKKQqqUgsqCvdPzasoXfmmu+xp5EHeUVmtxsRbYyrAvBelJIuj0E6LYZVT1Q4dCEAIbRdhhTLYvi0vErIa3qP5f8f+r9FRmCYlcqhTSJFuqqo5JdY+YsfoTQb73Tr57cdZ8W2l4KLYuUWoM3KWh+Ll7ohKULgE8lSi+jjh4VvDhL7YYRR40vFSekLemqfIuwfmFW8QfFb2yBhmVgV6WKeXNAYxdS4trmoHkh17f5/P3NNl/2l18iVH0E+WqDJM0+ZOeR5GIwq0orSR5CUYJ4NIWWlymGl0ai5XuHFkpHMBNKVbKmNyUY6k1VrYSoMsefZkEKwD/BoHn+E1JmGxatm4YENSM8/Lf8+u/vaHXV//54SeO7QmURWtZsrxkzqj5XYo13isXRZXumdshRVpDUr2rbOmTIi3DFOk8vJIrMnbPRiaUPe78URe62zkoVXCX9+opiqnS3R90lDczeDokkSF//LkGf3bbFAQBqBpKaRrKUlc2HUdB3uDslVrjikxqORElKSbDUglQi1iisB2zi1ZI0sbfohdSSYuwhm0bQ04vSB55yicWbvKAEQohXCntWnFPFTAiX6JF+bUtiZoU7MXFQOH8wJiGr3Z2rXkv/zclNymfQkz1MW+uMSUJVcof5CojlWatumHrxojLr3jxxsuu/K4v630HT0wN+503NHWI0n7eTFAdQbDWcjHO6IWuzn4vt4BKz4sEQNk9GatBKbN2pQ7cVrS3zMFQSBJV0t4q3+mhtBGVsmOSJKsUzNg7wtMRB85IPvaVBm7+imPvvHM/+/uCynhhWfre5UBTlF+UTkoFHKZcG1LMFXSBZzG91ySKRKVaPNF83y19PnNXg72nPJAhVkiGiYcmrRfJjnWSwjPJEj8ZVMta1r22adFG9tlkCiZpQVonWzLdLa37G9ak/rhJA9TK6lxl8zWlSem9Ms5WX5Rj+CvJHykhNpILi4Lpuf4brDg+pRUhgYqZbLpZ2Cpl3nKiovjHnhvsZVuw+MDZhytH02OypKxjZfV5GeCuiyTT36XnGZCzardMg5fA7SaymvTR2YFKGVTmd6sYJWNUKk8SFfO5e5vsPVhobymk877zDhrWPIGC8ddlKZeTYul5tXKz4omXJlJpI1xtiixS+GGkufziEW96WY/DHwsIEwVCkwjNQAh0ktp3GfmQOSqCMh/nIXBKj9YKVF734aSJtTbV4llJiC1S/AKMdMA3mUwp+eBlsJeBvArsZbJcJXmrrDqu0YUoGjjCULG0YjEk6PXrPKT1mZ3ykUrn9LIqgTOuu7/JlVa1g8a/4OpEwNrNDVXWzl5nrJ2BPWPuHOiqzOSF7lZZEJltcSINWhZD85VK8LyII2cVv/fpCYbSI5ugVXTNpytIuQa6rCcrdsBz3yojZVIvPGthK1L2ZQ0uKvUpidHEiUeQxPz0W3v85V0NDp/RoCIwmkh4DIRAJYWjIcvB5hjIM2/eAjq74NL3pHXpeYtNWTvzxE2FzW36d4wUCFusHqvNhBT4JbCWwf6NyjzWIteCNQRDIAwlU8uKCIWenRKIRDIzpQhjRRxnO9ZW+y2f06css5QoX4nVRE7+PK1yW4sBy8AWY6ydJVKq4DaFRJFVBtcVfzsFc8XvLt2lY3FPh3RCwx99doLTFwJQOrUGZSpPbMX3zp+Xv3uFpaqJrjWBTlmTZo0H5R7NLIUv83veDCEVSazZMjfix9/c5Tc+7NOOXEBgrWRklLMNk+xzWLffei5MCpAX/+9+otKrMJ3fVDzKwvGR0hYMbkvnLrUMbc7gzxFwlsBrMlyVMTSGtVV5lvIxTD9jnFhWOgnzyzGJiNG1bCtqv/jaxpRYpfRPropsRfF+WdJkTFZZikhBOwaGcebOgF2wdjGlNWfvtOC+AHSJybVJGd3k0sTJEVOSKhljx/mjVhE6iPjU5wPe98kJRsZz8kSoXJ7kTcVjllhFd+eSbIwFnoPFszNUKU/OT1qWsrfpJl+lUtrUVYmNpqZjfvLtPQ4c9/ng55wWB0UiJEPjAk6ZkDN4UYCVnawi51G2Kx2oC8libcrmovCeHem4UldbSfw4GZPXpad4MGWSq2BGVPFDCehrLIrZ75StzcRAFFtGo4RhaBiGBt3tC7oDSRRnf9RR0uqc/1hN89hyMu57r7aCVtcmrC7MsWMSxZaCzHSL7vKWgarsOpiSVMnAXGJyWVQH5ro7f3SzBpeW4S+/0mB5lIHbAdyTTntrUZUnlVUns8vWOiGlA1dmm+zEVJ2Bsjyh2HrRjNWJS4kyCmM0caKZ9BPe+po+n7m3wWJXgYzAKCKcHh+vLhyLpp6TyV0eqEgKZfUpWbBpUxbPAZ365MYyxtjufCKEY3hSKQPFBbcGlipyZRx7Y8fUpMzgaUmzpmjVFbo3FPSHMBg5n5nyHyz9S9UrqfQBGANwGfRyNdhXBWTltqccMKUREdJWtHdhpa0OKrPhNAW4k0qAmQWZ2T43usTeXiPm83fWePCpOqakvV1TQyZPqvUmeWtWib3Lnn/ZCl+bxFP2zC20QqKMN0PYctBppdt4IPXF48RDm5gXXxXyPTf0+dNbfVAhCIkVgpHRKCHcFiRZoCkKUI/LlcwatNbZtRmzFz0CaeBJAXhjbZW5rbvgbQkDJiOxjK1t9rPC0nxO5harcbfG9YlUglqgaNTcXSeJa1YdRRa/3HkhxXP8kSqoqyxefT4O7PwikLaQKmOMLcQYe4sqsAsXJX2tLDodMSZl6phIm+rqkiTJHBNZkijSuSeBF3H4hOTDn29xruu7/a6lG/SuBMWODWPxwirdXfad12Dv8Vsl0VNi9lVbLWZbMFa67t3+Oe7RbX+yoZnww9/T496nAg6flyAiQGGQDIUsbSLlQJUhQ1SuwkIm5f+fZzPT81Bmc+GeZ2DOZEu2ErufZbPfRaq30+dZb6YonlN+XmZzIB89UZLGOaOnuFVSILxSw3l/aOgPDcNRglIarcWqk7eKwZ8D3OUrsAxoBKUlsqq7s6Ur/5t5fXWJuVUG+DGQ5zOyx58nufbOWFxn44BVjJIJOrUFfT9ilBj+4OMT3PNo3fW2Se20t5Sua0cU81fyz5qtLOWLeQ0mL+N8fFmtZjAL16LY471cPlsuoy32JzVGkSSGWGpUrHnFC0N+4p0dfuUPfEaxdBkoI4lTV0UaUfpsDuSVEQ7WtaRR+nzutSjFBml3vQUrbRpgivwCyIPO/KK3lXoVkbJ3OaAcl7JrkelzuSv5vyVdEs33LM26u+tOL6bbjwlDQ7PhTti4wzGeOs1PWPmPlD9ohc3tquL3ggXLg33WYO/S/vNyLXkibd7t7bbNNiWJUhr7m+nudMZ1HlzKGM+P+erDHp+5p8Eo9KCuc+2ds3ce2FK5r+XtV44PWcC5Nn2XC5uKqaplcINVWZVhtVY8MRJpnFTJgB7Hmnoj5q2vGHD7PQPueFg52xAJQhIJzSBbRclYsCjIAsfCeSlvaZVxFmEG6vRzSlDp98te21SaZEDPzq8VApNvP5gGnlnf6Bh+bOk9sGMsPoa/TOrmv+82L5hsGqaaCdpt4eF2N3Az/Io5gOWr6ltl7gL4dg1Ar2ZxUdbbZW9ZlhyLTP/m+6m717n2ziehFsDWagzoqgC3TsHtexErPcvn722w/2zNSRPhSmJFpr0FpQlSdhW48++Wf39RAvo30CcZuK1jzcySG09h5+BeNRyoqFGRUiFNgjSaaKS5dGPE99zc48G9Pu0wTb8ap8dDFNk+EG7PhPGWtoLJLC65k1+Q0rktKm1pK9g8kyppwkekNeQ50EV+3k0JjC7mLHX/l4BeDTjtGA5FRgn5f2PSC0MIwUgKhqFkGEn0uimNtJrlSbdVdb71dImxxdjztYKB8hDNtT1hm7fBFRZbNVlSBJgFsAtwZz54EVzKfDC7rTB2JaDMEjllF0W6TnlDwp/cWud9n25hhXa+d4W9KbS3XONzl0mgIt/EqhVvLfauVPIxrr9t7gyMt7KZLG1vDCaRGOl8cSUNUeIhleEn39Ln0BmP931GE8UFyA2CkZAokw2SyNb3EshzUKe6ArcI5PAXaUo/Y3PSzKZw/6ZNV2ebAz3L/KY5VFHS3qIIeovYoHQc19g6fG1v3O2CHCeWwTBhYRlQAj034yyw9owbXl944MUXWhvgdk3mrgK7muWrMHg5qCy9l3ncGbMXM/FS73vMMZEZuNWYPBnbs16le884DR7h+RGHzkk+c1eTXs+DulrN3nnNd2l1EUWCpyLJxp7DN0/yFAxeAj2UtLiouCc2bTrIgS5Lm/FKp8Wl1ERRQqsZ85ZX9vni1+ocOpsmFZwAJRGCgVtr3Gc0KbhtAXabgzp1S0iTP/mCkzkpWeresbdKwVrIkyrQM2DLsVU+P3a561JlbpECTaQX2Hg8Y1N5Z6xhMAg5vzgiESF6dkriIViajBlFilEoXFdP7tWK/J8ZXz7WChLEWh86A3EufcoMaCvyROSz7wr3JAd3xtyiPJg9c05MZbsNWZIlUqaOScrkWseMIsPtDzT5ymN1Nxxceg7gY+ydFXkpIagEw/lSW00/ZwgX3wzZa5ygHOiluzFp9jBzUtKtSJzuNoVMMZJESFQiMUIRjTSvuTbkNS8ecPILHiPjdHhaCUWMZihAmtK2VULkBnaW+lE5vDJHJa0VF+TAt0IUZG/dObUiDTwrQC8yqiZP9hSzcoTAlfWK7POUtbZL/+eLzRhJGGtJEksYWdrdhEGkiIyHXje3dUXQ/+L6GfkPF9sJxmi3aGV7dJbqKce1d87e48CmAPKa7J2DmdLylYG+xNg5sDOgF2WjVeekqr9Vnn5PSs9jpHSdOtKPufthn9/80CSJ1YVzIhVCSLcPkCjS8lUGLzs+a7P3t5DELJCdsQ/jMsVW5Iohm3qVFmOJwlHJNbl03rgwmjg2+H7CL/xIh/2nNHc/JDG+SCHrvkBkFAPKgsqWZMkamjz3wtPVNvu8aUCZ6XCRXgCGYpSELeMBCp98VRNEqeteiBLm7BgGiwOb5Q7i2NIbGgaxT60+8cWLdm1fUW//7lovHJ08bK35iW5PMAxVPti+Ii/GqvuySHnNyr/sfbW6YKpcJFWk3jM7sEjFq/HqwFJAmRdUPQe4y1JFVxI6rtfy1JLgNz88yb2PNd2mPNK1oyE9tBTUJQSSdJMru7p2u3JPG6DzITnVYURZzbtUYw3TpeNWvBali96uPq4ZGZTmAIpxqVf+mYXZdTGBtjz4pM/KoOQepGFmNkW8qDgspIBYdXV+K8tSqRi3XK9NUcxVEvOr6sndL4rqypb9J/l88NLKN8YXo9AQSp9Dp+Z/+N5HntmvP3q7wuAq5eaaklZdVq80WYj+tQLM8u+O+90Fe5dGeZWliSi7KOVtMarSRK6hubMdBta8q3JgmZbCps8TP+HDn53kr+5sYmsKhHLoFBohZaXfsuhv/AYd82X2qUTkVVys0oyribyQKVAJNKvzC9MgM50faFPmttYUNSpCIo0iERo5SHjrqwY8e8TjPe/XhEFcAFwIrPEYkXZXZfn1xJnYFluAMmVQS5rdTLf7SA0gF2xmjIxjc2cPFgtCdv4zt6OywicZflIWt6tVQnaJVV+LnIADKdm5xWPXTsPkREicgF5abmEteDJBJwlaO1LTYnUp6HiAWdHkJaCvBrkdkyhl58QyPoK3AvbM7xYpwEvau8LgMik5KWVwJ8hS7ckdDwV86AtNhkk6BV9k1mCatRS2or3XTM2XgT620lXkSgXsa7NftptB5j2vymhiV5XQWlnKbMqSsyKUK8ySaXGWNCRGE3iGH3ljj/uf8LnjMWcXZt44UmCsZmRcO1peRDJuHaZIzaWUECgyaVICedb0UNLc2e9koBUSpLUVkrDp8bIliUJGIHnViM0/WpE1dql/JZzdPdWUzDY9ppqKOAa9fX0aYhiX8s5ORWWv9RKg12JvBPmeOmtq8Cw1v5ZzkgG8bA+WwS2Knb3UKh1uqh74OHvLpAgwdUR/BL/2gUmOnA6wutgtuaK9M4lUAfYYoFkDzDmERRXP30CQj28gUM1olouvynp8dW2KkWnFoSyzuEIkBiE0MjRctCXi3/1om/t/LqA7TL+MkfnnStAMM1MhK+42BcitBEwKakvusKg0oLSStCspBXNak1IkeUo5g+x3yqSXLnPVRKHNi9fK+YUce+AuSlvsHzUM4fQFzUJbY4xFr5+bQ0rJaNgnHC0SpPOz857AcaZOl6pyYVW2P+F4wFleAcozowuJUhq9u6ZEMSUfvNSXmLJ5ztwV16S0O2/qeWsdESfwPz/V4rF9Ned5y4y5C+fEE1VZokSVtUUZ7GPMnUZOlIdursXXq5h8zDkpGiAoipmsK2ZaVW0oHIPnQaeRDuSJxIj0nqRSxRiu2xPx7u9t818/PkWYpCwOeVSYoBiZTIunufYSyHOJUtoYwQq3Qa8ts7lMTYpMoqRTZq0tZMv4MbW5LBElli6YXQibv0fJghWpjBMWQuE6Qr2gweTUhNui/M3/4A3Uag2OHH6Wh7/+RRo1L7XiqnJkTeau6KHqZNPVowLGHZQqoAvA2zGZUt2fsWDvpNDl5aRO5Z4GlrWELz8Q8MFPtWgPPOcBpp43aZOuc06KrGW5lFdVPvdq/Z2zSiUsE/lrMQ7oMdZehfcK0C3lBFDB2ulU2EySlJNAwtmIiVRIa1y9SqyYqBl+7O19Hnkm4PavK2jEKVOnn1AKYiMZksUUBcgtrjSW3LZ0nncaq7qy3kzCmExuFPIlW70tIG3VWs2nEUsH2AJnKauP17CM+eOJESTCEhvDYBix+5JreMELrqbb7aFbDUlQ00xPwPrpCKWlK1xPayPKt7WGmJd1N2NaexzYBavbkqYdkyUlSVLIlGKHXQfwpOp3S2cFynxfdRdYShkjdcy+Y5rf+8QEhxZ91waf+t3uURbsXWp4roB8LXlSkSZj05pWq5GqSlnlLpRZvEis5I0QrJXGHxsSlBViWZNvKisyqSIsQmpkZNk9E/PT7+hy7Jzm4GmB1WWBJUB6JCnIGQN5hjaVgSBlbQkpi4s80MxqmHIWH5MuDi7lOTkgkvH4pmBtkV4Fq5SfzSIXMKFlOEzoj8Ba5XZga9QSPN8wMzFiy/oeg1AyClW6P2bVlslBXfojZcau1p+MMbcsA72QJxXmTqWKSmVIweQl3a1M+no8mVMAXakEKWP8IOZcW/Br75/gM19tYD1VpONTabIWe6vSBbjaOalKtvGkTpnRiwNVBXyFN8bAnp+0VTUpZR2eAbocgGadPzItasqep8FnYogxeNK5Ku2R5Od/R3F+RUBQpluBRedMXsiT9ELLHlPWVhKsSeVL7qaINMisMrmQzi2xpQYXWw4YU4a2pWNcVghrZYazFSM2bqLV+SXDcg/CWDAIBdLzwPO9c416fNuG9Q1qfpjPEcnqPGRFPhQp9XLaXK7xOn9PFRuHyvLPhan8OxWHRBXWYF53klUMjnneMgsmVZw+d7UmIYbP3Vfnyw810lqTzBKUKYNn7F3sGlyeN1hmk1VlseU4pHwixs5AmWlW3cq1KGVAkzG3KAK3UhtZ5qCU9XhissRPKbVvJcaq9D33PI41wkpee8OQN720jy9iiGMw2T0CG2OtJbYwNDAygtBAZASxhTgf0u+AlRjhHm15K8J0t4o0KE7SrGz+aHAjAi3phWnH9u0s/j1Tuiel+pzs34oNRAl0+glBa5ZBrG8LasE5KxSyPnklZ4/edmw0iv+H8LZjkrjajrVmZtHk7WOqIicYA7ZJNyo1xUWQbwtdTdZUCqcqQ24Kl0SWflfm1YFJxTmRaZ13LAyfvavOez4wwakFD3zlmLsUWIoU3HnWcqyisRJHVGafiAqAC2YRFVCXCTx/ZtfE+NibogR2sUqS5IDPJmAZWWqMkFhT1Ki4FL/r/DGJa3GLRopt6ww//6Md3vyqPp5IwW1LQLcx1hgHcguhdSCPUzDHRhDbAuhJ5XkZ7NnucQVYkzEAFyC2bmvxvPE6BXIJ+Pndku4SXcQscRxzxcUbMXH4P/70k1899tIXXeL26FnuKJRSrHQUg5HKA4P8BJakSbFMm1WJnrzGt6zF0/crEmWtwFKM7YGeyRRVuCayJEUycMtSQJlZgp6XcHRB8sFPN9l/OICWykHtEjtOe2fSJO+zZNyjZ+2O+VKwmYVjRfZvjLkrrwsXZa1kj2NtM5bwKVwUmWf8qul7KRzIpbC5Ny4yZk/rCYQwbuqVdd54NLLs2R3xI2/t8tBTPsfmS0tVHnQ6GRIjGAoXXJKOcLOmXIdS6PK8RqWqeshmXlqcW5KRRy5jYKwbv1plWGjxcrBZ3KSEmg8NL6auRghV2oRqdsMVeH6dKDacOX2CfC+UMoNRei4KK7Ba323Hfr8EZFnsfpvr7dyZKLaHzoAt8uDSULgpJg8wc1mSv+fYW6uEpa7gd/9sgrseqxVVglnGMgW3kqQ7FJfHIBcXqyqBeS1bcC3gj1vg3+qt3F1fqSq0ZfmSprWNA5RJZwNaUQJ/KdMphcUIizDuOBuh3Guh3GUkDEnf8KprR/zzd3X4Tx+YYnlQuCnOiBcpyDWxFLmDkoEc44BMBviULLLPmO95lZW4pBeESC+CcoePHTvGRc14kWvJ6lcqrkr2u9bSqntccel2brrhanr9fnaNQmtqI7Mb99y+tLj8m4ltEIZuWcmHMYpy7UjabDCmu1fLGFsNDEvpdiVXJ26UcnZf4ZaMdeWsqg7MnseVhM5QWv7g003e/6kW3chzhVQZc6euiZvdVzgnlaKq0qo1nr2sMPWaYK7Ouf5WkD7eXZ8DmWLpLafyqwmfsf11svdKA4OMlXl7WzbA09hiD86Whp94e5effGuXuonBJKlUScBGJbniNPko1eRReo+tIMokik21eC5ZStp8TI44jV7S1KbQ1mvJGPdzW8oHFIdYpZ15M5M1lpYWf/NF1+65fcfWTQXAJ6a2cOunfrM/6C8dTYzHYCSJk7QyTBTMuyp4HKvZLs8rkWlwWASYq/1tWWktKxi7rMtlBmiVpDImS+RUmVvKGDzDs4c9/vz2Bp0onYxJBmydB5iCVJrkd1vR3qoE6OfKXuayQ6x+n9J/860gvWhXG7MMs0CzrL3zi6DUlFzW36s6f8qBp3L63CiMVVijiCNFS1t+4LU9Lr9khEzKerwM9qQAucUFnSm4Y5vp8jTgXBVsskqDm3F9Pg70cmA5FmiWJw8I4U5z4AnqdZ/5+aWj/+Lf/Kf+rp1bCoADXHr193DlC99GMHkp7Z5bAsuZu/HpUasKoCo12yXnoxI0VpsVlFgN5iqwDWX3RJazlGOpeO0lPHPE492/Mc1TBwOsJwtZkjO4LNmCNh/kM75Tw1rW4FoypZLYEZReFfbKtyRX1qqQW8P3ruyKZqgAv9x1nw8MsjL3x21pMpYxKh3/pkisxoSKay6OeO/Pr3Dl7pGzJDKQ5/coBbvNA8+hgdA4kEdGEFlScJcBX2XrDMhlZh4H+nigaioXTPZeCnJcFabvWV5y4+X81I+9k3/6j9+SH0+dPak3ZghqdbSup312xQg0pZwsGdfgFY1eSfKM7XQry9536bmwuf6uJnlM5bmSCSLzvlUBbJkmdLRn6FrJ73+6yeN7AxJVYm1R1JtAyRasgLrqnGTfa1WxmRAVRqcC9oLVv0H5yZrypILxUhYz79OsvF9m9rGacevmdhuTzlcXbjKtyfQ4FiNkGj9Jp8eNJcGgheW6y0f8H2/p8Qv/1aMbC/AgLyLJmikRYBSJEIRZG5sRLpOTPlpcM3KW0LfpXLYsCWRLBJKWtaT+d2nbQaoBZTnQNIK0V9QiE1cjD9BqNti4YZbBYLAa4J6n8T3/0NRk/fD6ufruutel5rkJreWCq2L5zV6vAWyqSR1RArCoBJil91JGF6VAU2XZSWmQIknrURKkSFAiRokE7SX0DXzwM00+8eUmowzMY8yNcHPP84Kq52DvaibtmyR4cgCLQrKsQvY3kyfj7F0CBlUdbiAfZVz1xgvAO3BLZAp4YQUirVERVrqgzVr33KRBZ9oN4wvLO17TZ+9xzQc/3aIX4Q6YSVGYPaYQTowsAsk0Ve9qZByQlchqVQpQjyeByrUpDuilLqAyidoSqaTXVJJ76IZmo4HWweHA9w6FYZgf01yibNy0mfnT99y2fXPwkYt3NJlsDWjWI2p+gu+5YfH5eLSS912WH+WEUFEjMhaIVnz1ch3JmO9dBnepsEqKjL0TlI7phvD+v2ryf79/gguLXl7bXa41cXdRYm+7Klu5amZLuQyBMbCXX4+xduVn4huDO0N1udAqf6/yUqSMXg0wK/54lvihKlnKzkpVl6vKVoVuBJxi4zrDL/1om3/6li6tIHbZGJuU9HgqVWwC1u2iEJqqXMl98lRqxDb1zHOZkm6wVZYt41o7/b1sfEZinPyJE4jSrOUwhN5IsNhJEP4MkW185JOfvee2TZs2r2ZwgEZdILV/69z04M1DL7w2ToTTaUkRqGSHvSJRqMqScgo++1lZmuSFVrn3XWVuKcYCzMwWFKXyV5Uga5a/urXBr//RBOeW0mTOKvauZiw9UeoiEmP77FAC9Dhzl3zuSjq+xNNi/M3/xVs5o1mAX+RvrJ26d6lyN1VKuG20RQFsYQtPXIiMtUkfM7niWByjiULLpumEX/qxDosdyUc+34JaunSsYnJ3M0giXFzgi1LRVZqJzRiclL1Naifm+/1kDJ+l6SHf28fBrPDCs9R8psWdgxMw39eP+0Ht1mFUPaYVgG++6LtZPvBP7l0/zcN9r3dtfygZhQGj0F3dwsicVdxyUfjdOYgpgTtnRVNIkxLTC2EqEqUCbFEOOqvgljJBBYZDpzR/+vkmZ+d953evArbbY1CkmjtzTnSamBjv1Ck3Qudgzr9r+UXKzmP6+1tUJTmYv+HPS4VX2d6Uq3o380dReM8ZsDMdbtx2IFK4ZuVCmkiESQuxTKGajVDEoWXTbMK7vrvP/U/4HD7tQ5B+MWPXBLnFJYQyrz4bN5EBXaWSS+JmJFqT1orn2rsowio0eWmVLJU1JNbtqDZIBO0RxEJhz3Ue/oX3fuHe/Z//tcpxlOMHtta6iFrrYmamDOunV2jURmhlSkFjiZXFmFNSKW8tyZCy5y1M9ffGve7sd3KZUgZ32hXvGw6f0fz7907x1UdqroGy4nWXvW/neWdjILRcrbXXGuZT+Z3SuN/nqiTMNErlwhj/fbG2S5JdFZU5KXb8sbAMy/ZgMTul+rNyUZbFSQKbpfQzaZJLF5feT6xL5RujMEPBLS8a8qvvbnPRltA5K7YsV5JSWj/JA+LMRhwakfrlY5KlZCeOuyurbMOSXDFjK1xsYWUkWGhHBErwgsu3c82e7auIQo+/sSR+AK10+NHbhpw78yQ/9No4HbjuDlTRzGDWdE3KgWXFOWGNAFOakouSsrZw7xXgLqSKlDHKMxy7oPkPvz/JJ25vEIp0N6qcsau6W+LYu6jzXmP77bGmhoq/XQInY8CtMPo3I+7yD9eqR0mDqHEt7h5LJbPZ61KduLtYbMriWWazaISQxp07I1zAKfJMqEyzokUUm0mW2FhqOuad39UnMfDL/3OS4xdSZ4WUwTO6rbB5ejGlwWPW22konJWsKyjvhFF0EAAALNxJREFUxJc2Z2yZMr6TK3aVbMxIRgnw/Yh/8wOnecGeK7j5Fa8PjYn45O98E4CHdjOb5iZ/bhjfeMX+o/1XHTyxTLNWz6e2uqIjU6nlzsA7bgkKYfKLoazFq/ZgCmphUxBn5bDOGqyk4XXC8XmPX/jvk3zqjgahTLdeE2vdyxnL0vD69CCuKU0YCzZLyB33vyugHqftv8FtHNfluvDVafuM8W3e2ibG2Dt7T5S0eGYfFiCX+VBtQTbmQeUNxXEMnk74gdcP0Ap+8b9PcfyCTzqHuXoRGuuEc5otNghCHAN7UuBVvks61g2bypW00yeTMWnJjihfEBmRpE3hdd8yF8DNV+3gxutfeOfGrbt+DhZWHVc1/sZ//e3f4IYXvzycm/ZfFnUvXBeGWga+SDd5Kidryp3wY32Usvo8A3alzrvUxFBJ8AhTYe48U6kSzi4rfvF/TPGJ2xqEKqvtziZSVVvQsnqTQLpGYi8NLLXMqiCrO7W5ZFaxD6e7MMsXgCguBClKEqa6BXn2e9lW5PnmtpXX4/82pU6h5/j7pdEShTU75vjINVaj7JobszmLDamqF3B5sXErikULy+UXx2xYZ7j/SY/uYCzweM5rWpQu3NVj97OfZxfK+M/LC11GOlq67RsnGoKdcxrfn0tmN1xx+7mzRz+5ectVqz7BKg0O7mCS9N59xcXNJ1sNke9RiBCrtPU4SIsCqfFAseiEz5k6A7LIpEoZ3FlAGaOUIfEEf/TZFp/4UgpuWdbc5UeHjtzzHstYjuvuqq4uTvpa4yHK/vdaIMozmUJ8Y7myBntXspmrkjpV37uc1s8tQVYzeLXEtuj8cVq8nNmsZjwTq/L6cWMVJpHoxPLO1/f5sTf30ElS2IelVH71bsCaQpebNMVvs8xnuZa8lN4v1bAU6flic9wc7MBgZDm/7D15YbH7bmPWPuJrAvxN3/06Ns8mye6LdtpaIIpsZnnPm3zmdlFPstbIB1GpBKwCvVoVONYFn92VAS247d46H7utwUiqlM7KgC5JEwppUuyrUwI0ZaDb/GBV9tsRYyAvMVpZa5cBnZPZ2HH+ZkC3Y79YkSkUkmSVa5JWfK6qOLQZIZWAXWqOqASf+WNRjJUFnC6dL7FpWt8kksBYvv91fb7rpQNEYgpvvFSUldeU5165C0CNTf1rAyMriKwDdZbez71yUwSccSVILYJVF6haEivZtn2nPXpqkLzoxlvWPL76uQ78xZe/lCgcfmzh/MHLlDnd9L2EwIvxdJK2jVWDSYC1AkwhTarNTWELijFbUBRJHSFKzok2CA1/fU+Nn/vvUzx7JEgbhtcAdjmwFFm2cjywrCZyquMgbAXQBWarW+GNWSjV1P0YqL8puMfSmONjJMqF+UVqfo36lKyDvdKgbCuPpqLHAZN64DgbUZAFnNIFm+L/ae/L4ySp6jy/772IyMizrq6uqq4+qqpv6KbB5r4EGq8REZBRR3HVncUDdWREWRVXGHc88MQTZ1x1Bj64g4LLB48RUVcaBAXksjm6+qDvgz6quqqyMjOO9/aP917Ei4iso5tuGnDf5xOVmS+Oyoz4xi++v1uAcyZpCoHMXg+BZQM+vnrlCD7GgF/eV5AkVxNdSfzlEr1n6gTJ5ik+pE7KAYQgsJQZVHuUZX3x2F2ve29G6XmQdSIbvkBHR3v1nLNOubVQcCc8x3SiFe0ds8Twnie/Ma9vYF8p30Cp0EDe9ZBzZMtrywozHkjabNHKI0nPJ8FNSBiBmxF5ExELuPPePD7+rQqe3qTAnbF1J6kJoUqphNGZQQGUIQ3qSehGM6sKsktTaZ2SxpOL7ibz6eArZSkxP4vUDZFw2QMJL2aiDYoxp2mKUEFZgqfMh3q9DrPlDNyjWDrPx/UfHMEFZ40j4hIinMYiuW7IpeT2hA7SUtJczQc6FJcTeJygERLUQoqqTzDaoDhQpzgwLrBg4aJ9Dzz05Dfmzumd8FRPKMEBoLt3MUJ/GCX8Gq41BC5kWQGhTkJkuzUdPpFFRSSkNdGOHZ3QYHB0QmJOzlTMCSzgzvvy+OS3K3hy40TgprEkV5LWjqhJtniPVuRoSkmbFOwmZlMmxCbBgwbap8/DReryRNLaWB/HpUipHnkKE9JcxBYV0kyaS55NVOa9aWWBoFKyK2cQV+YZQpQR2oiSgQcs6/fxuQ+MQAjgF2lJ3nRwmBvJCl1y1oKs4mABqig/osAqyK+BQJkfeShAwhBzO4tYunQRujoqk57bSQFeae9trB0cft+vHp79kwrbWnztSSEKrgM/cBCETCkriWtqUBSetHdHn7lBV3gMekVLCJWc+5f3u/jENyt4apPTHNxISW+ajjXRCQxGzAmS0jtDSRIKYwrMabAjmfig74Dkx6khrktyZ+gJYuBKnoDYHg6TfpgcnRgOJGKAXtISaSY0wK7NhtpmrizO0W+gMhkYFCCCIeSGpcMTWN7v4/oPjYAL4D/vz8cG6+yvTK2QdcoFJwjVw4kLGUBlgcRbCiCElOo+F+Chj7JTxetOHsIlq46rdncE7+uYMbtxyAB/7Jn9vL1l4UN98y8eef+ndxYfXb8d118+Bqge5Rz6sagvqJBt6iKXfAxqQg2AR7QkBjgjIQjjEIzgV3908bGvV/D0s04cX5JxwSfBTUns0DFLHmfjvNMmtuamNW2HTYKdJKS8hnIE+Il4S2ouxUKMFSQS182qqCaVSbMbmprnxiFUHidBDPSEjVzXOFRcXBqiqaLP0utCdPsGxckpoEJTlWvfC3Bsn48v/cMIhCC4+wEXocZv9OW5ClVm8RclFJExXaj6ioi5OTPu6QCSuogwBLwqPv2uXXjLOQxdC1834hQHHuLBDj4ZhulkKwfm9GBuT+tewumlb37NqT6jzHDZx6df05MI3KmAKW0CZMTg4oYThynJLRjB7x7O4SNfreDpzRrcqjMBSSuXmnPEGTpmnHeyp2UWwJFjB1lJngR5di7Cbmo7c/5gh0gt0bwxmXFwwnDL6yAKw30fr0NCagtu8vCsdSWRIMGTr0JlAgmdOOERHDPPx9f+8QDOOakOxsOYk3PTkjLRIiLHUmhYVUIN+Mh7CwAcY1ULofNqv1azLwXp2Evt2ZOe10kB3lKysG3rdqw8dsH2K9+2YONH/taF51kIQhrbZEGgyFuCkiRs4anowMjerRfGISyCux/M4UNfasHgZgdRmSkygVIJDXYkqQnS2Tmm97KZ9J6IsmTLrjUFtAn89B0QbzIluJu57yOPJdJ8W9vDTRt5jJUY6LHJUMDI30Q6liXO/hFmzEqiqwRLKJ5RyG1IITyCRXN9fOujB7Dq5DpYwk6uY1dMs6KpdCZBrh4Y0enQebJS0Lm45Z75eHr3SRtLpUXbd2zbCkKcQwc4AFgWQ2fu1s09HcOXt804HnXPQhDYUfKq1vAjyZ62kqQCpigNQai0mDDCwRwBbhH89qEcrvxKCwa3OhBNOXdKitMkuBlpXs97yrQzs2JACqNNlc2UJE+CN1n1S66fGN4i80Z9NMS4SUHi/yBi4PMUTYEhtY0bI124MwY5TUhz04oiooRlDXYWzceAVzhoECya4+OGjxzAuSfXQUNVjUdMJs1Ne7n8kpp2ESDyZbgUsBgFYGHlihVYt9u//Jrvrd4scTEFfqfaoGdWD8JwFJSWdobCvTfY/8xZnl+FgBVRE8bkfUcy1hGTb4tIiYy2yQls2WfhgcccXPcvZQxudiCcSWzcWmrTOJAqoiZAJjtnQpoCHbwjmgA+eRNEKDa8mVFRTZOuGDeHDu1MSP8pznOE6VihgTD4eGQST3FwqaASYxuR4uKIlEwJasXFlRVDcnetYEozq4gsK0Rxdaq4NwdhsdUFcgqAEh4+x5J5Pr7xkQO49l85/vRoDlv2AXCMXylYnBUkYguYPElMPpWI5OG6VjsI0PA5it0teNUZS+/9+4tP2zk8WkNbpTAlwKeU4ADAWBkje+5dLzDjG6xwMnwf8DwbDd+SaUtCX3DTHm7WLTEleSD5eE5gcIeNz3ynjH/4UgvWbpkC3KZZUCl0LAK2MEo+JMsem8FVGpTTsZ5kpH0qdiOCbUrhTKA5Pd8M2GlnjwF48xXpeZNjpwKx5I1icGvd2wfxzWC68LVNXAiDmvBUhSyj/IROWuYTSPLFc31882MH8D8+MIKFvT7QMOmIoix8EkmudF6HAnlLoMA4GA9w8dlLMWdG+Ru3/edD66cDbmAaElwPJ78A1G57qBiO3DE8tPeiob1bUHAFKPFgsyD2Thqu99g0qN8rd34OWL/DwmduLOP2u/OohxTITQVus66gusNp0pmTiRZE1koy0Vwy/DUGajTdxAcfUxeCKUX0QYwMqDOeSUTRdSawtdtRWrhUCGok2fU8jMhDGJaW2ONJEScxq1QctY8EvoppTYbJalsGAWjA0dUe4rLX15BzgH/6dhkbdqgLRmDszIz3Ikps1uzAoQJFW8CmAU5cPoDTT1x8x1kn9D+0a9/otM/ltAGeL8+CN75xc6nzlA/vfGwjGx+tvoHSIbg5aVuVjZ+MApiKnpg2cUIFqE2wYbuF675bxu2/KaAOctDg1iZBqVAasSXUoCNI0Q39SpHg1Wn+raP9miUYZzh5mqIQA/DTRXJmU8mxE1LZAHP6VWfERNJbO3hMCqKPxaF6yyvKokGtg7EjJ5GOT+HShU9jFz6l2lRofHcT5Co+XNQ5chbHpavGASFw3Y0VbNxhA7YmYzQ2GcrC4BG3E4QiZDJJ3GUcfT0FnLy07Werzjvlw2u379hywuLeaQN8WhRFD6cwgA1r12yZ179yTaW1WzUe5bCtALbdgGM3kM81kHM82MwzyjuolLUcwabnLFx7Yxm33V1AHVQlKzQDN40XGqOSKsUjbTVhhv07aSERmcqwOkVbb4fM+iy4M7TEhGSabB+kNNfcO8HDU69mBSwz+dhcn6lOK5LHS1pYDJqSqlSri3nGlhedk5ukKwnaYtIVbUYMCPIQePP5NVx3xQjmdfky2iqdFRT6IL4H4jWAoA6EDTRCDk8AAQ8xu7cLrzz9FWsGH3vwoMANHIQE12PmzJkotcy+3quuHQirW95ScPehWKiCOTWMjnKsG6Qo5gnmzgFaC1y1spAxBY887uDG2wr4yW8K8KACsjPgpllwG6hh0HEm2ZqC6ZremVQ0xCCOO1gkFcqMDTxCbWrO5PCpcShsJQJiQmJri4kBbmKYEDUPJyLBr4XaIOofD8SFLYX2HBKwyFmkk5chC2saNVYEZC4nhZASnxi8Xd0sAFXHEeBgseJJgTAIkWMcbzm/BnDgO7cV8egzNhrKwE04QWtBYM6cEMU8sG6Lg9ERH4KHGBYuBro7MH9g3q0nvmLF9euf3XbQ5/WQmOOmZ36BgMwtlPnX7xqvPXvmT+8BnhtiWLfVxm/ud9BaCXHuqXW896Iqli8MIKjALT8v4NPfLWF41IIPLZUpmsaVmLQkMg/GZiMtvW2qgE5Tnkuj7kncY9IwIerP6YQC5e7XDwyzf6WZcMCihASijkPiz1T3w0Sc4KD20et1z9BEIgND9L91ASLGzO8r1GedpKGTSOLtk427UgkoqTmzk4aZTxsXZzLj9+Psq0iPIklzMDGysLTepXUyQkJQBvggODDG8KkbS/jRzwuABSxb4OM9F4/jvJPraK0I3P0HF+u32tg5ZOPO1TPQ0d1337eveuNrnt68Z/zdb/ubFwbgAPD4mgcQcv7bq7/yH+etfngUwrfAiUBIfSD0QD0PHRUf77hgHB2tHF++pYihEZUykwl3bSbJzfksuC0Sd0NjxCiBbHxOgDkCvs4pNQAVvZLUZ72dytoxbgCqIhcZMYGrrDsmwFUmTxrg8U1lfDeaBHjcMNcEtpk9ZdSLNAGu0woTGVbKwtQE4HF5aiOtMFGIyQS0mBrkKkXRdOoRfSyLYN8Iw5dvKaKjleO/vL6GjnIArvwrhFgQIBivc2x6bhaKPVf8DoSuWrro9EPC6UFTFD3aO5cj5PzBE5bvOe3J9ffmR+qBihnwwTEOzkK05H1UqwS/f9TFyAGTktAmdGRicEdKJTGUSpryWEIkuTdEUrlUcxH31vPTeG3KxaPPSRmRlhhkwjXJkYw1aWIlUWzFXAcYnFwpl9AWERJ7OWWEoe50lrWsxOUmlIFE6DrjFJRzeRwaO5AQ8XtdKydWQEOuok4olzwcALh6KggBHgKtLRxvOreOhwZtjDSAzgKFF+QwXi/ACxwEAQPneSxe/KpaqWvpg9I0fGjjkPec01VCR5ldc+VlZ95w1nGz6y3UR09eoOzYgLBx6rF1fPNTQ/j61SO49r9W0VHRJgMzdWYKcKsv2Cy2m6acOInCPYZFJRMKa7w3cRe55tOWETRx2adPRlMlc/oPR5N/N1+JhI0cMMCZ2C0ZPptWUhOxK9zYlsdu+2QpuFgpjWPEtc2cZN5rZTPkDGbp5mjh8i7dM0LwTz8o4crrK/jgP7fij0/ZEMJCdbyEkdESqjUbwllSt1suuMEP8tcQ0naoMJ08gneq8fnPfU6U5555r5tzmEO80xw+yhwmsGDuKD7793uxamUDjAq0tXE89IyDDVscCGamm03kzJHI1JJb1xOMqIkhuVlakhPjEW9SjSZ0hRjbEEU5knOSlkTzOtnYoDNmsrHO3aSI3+u+mTTxGdnFvCETTx6SnCeIoxz1/wUyTys5L6IbF82OjfRcKnrSMBdlnmhqe/XGeLCReN/oRanqVABM4J6HXdx4awkjdQcbduQxuNPFQA8BeBv2DRdQKM3yWjt6rxfelv9ZbFsZPB+MHjJF0aNiNbzuOR1fKLMxb9e26mcYq9MzjrdwXH8R42MMtlVDpdVHX0+o0o+m8lSS6ITFIbBxXHcm3QyGw0aBu5m3Mu25TF+0CbN5gCYSvwnxSFhd0isnGYYtfEIhbtKSJhQlohtR+ScCLjgIiUtPkIR0TtnMTTu5ojacy3MZx7VoiwwFFTyy0AAyZY5TqkzgHOA0aS9XrnkiKAgJsXknxciwBRQcgBbw0DoH373Dw2mLXMxob+GljrmfsXO9Xx06MObheY5DJzdqXHXF32LBLFo797Qld7x21Qli5SKCvi4Xo9Uy6p4LwMLmTRb+vNZByCgSZY3N1iJR0xt59UxwMyKMLmgiAn9kNUHspo/em2CFaC41m4AaiOdNCYZIMjWnOOn3h6y9Iwac/GDOx2UWoqI/5vbpSMMM5UhnACVNfhwGdUGT9QlbuRlpGGcLmWG2UUitsdCQYuViH3P6QkDYYLaLimtj67Y8Hn4KKLQtF8gde8df1ru1/mPe+nzh+fwlOAD0980Bs7vWzerOX1Hvrd3oj9xLZaVQCsqAzdstrFufg7AsgNpIlFbTXCBqK62qFpEmxXogkm54JMGZ/txMekcSWQNRP/KNz0isy/Ly9KeMLTy6EYz1acXQkNrRG4KMRNevaSmutxVCUYXIRi20U9IAt0iCNrKbyywane1DKSKvJuVQnlBdXIhEHnoQzb25cl7K94AABwVRs7LjsdpWedSoL7Bovo++WQHW71AWJgg0QmD58Sfynt6BK5YtW7hu4+ZdhwOaz1+CA8CChUvQVtrtLVx84ve7O+tXtXeUILiMT/EDjjvuczEWOgDLAdRRix1LbtAIdVH4K7L1u5Ov6SpVIgPgpgpmSoInAGnSjAnWmYDOBFll3k9/iMnmE1LcAG+TOfk5lrqmhzSusRJLZu0VjY6TCMDKejsTAVqRxxMJhTNKXjY6SQShhSB04Ac2iozhorPGYTmSXvtBiFJbB/bU7KvOPP2k7z85+Jx3zNKlhwOah0eCA0DrjCWoV7eF7bPfsiEkD496jZ+Wc/YGPLGR4lcPtsCjRQVwDWpTCYmtH3GMiUpqIikAG3w7ji0Rk9CPJuloamS4OWJpa1pPkhI/KbWbMZWDHs0kujGvk5Dl51hKxxIcETePDqVQLbshaKCbnksRh9QqPh3la0LzekmkZfdiKc2BmCrJgvxEVZNNxl5J3i8fD1JgUNUHk8IlBK8+ycdxA1U8sq6A2fM78P6/O2t01TkrN6zfvCtcefziwwXLwwdwACCsBK8x+rP27lM+UMyP3eCP3Nz+w18x7NrfCubkwRiLgKErhkb7IgZ1JjIQ6bomZmy36aafgGenJXkTywGQBW0zKZ74nNi4ueSfzogYh3anpwBIDPDHn7UCGdu9iZGnGYHdjCU3lNFkmK2iIVxWLpNpl/KuodrdryL9KIynh7afK8WTIK7JqesKar0g+pFEgIcWZrbU8M5VBzAyMhuXvXnV/r8578Qr9w5Vf9bWOr0w2OmOwwrwnNsqL4TYe7Pjnm89ssO7/rGND3TaOY42h4ISHnXE9YTs0qVbxxED3AmurYGLJA/PcG8DVzGQkwkNGetJM76tNmjGv5H+3AToGVxPAnQTvMkVqf2a8PPImmLycRLHr2QATGKJ2lyKK1AKfbPpmycJ5jgvWu4k/30s+fW5MBXZOMVNvq9BIOfYePXpLuYe88o9x68487/vH/duXjR/1uGEI4DDDPDompIZGNwy9sPWrgvpK08KPu+P/LFTiAChoKgHQD0AEMor5RsXTQMsWT8wmX4Wey7N2O5mEjsZMhsdP0FVsjZkTU+iHZA6SPQ9SWKT5PbP4+SlQBwFV6W2UViNFUpAp8YqJiOiQ6SVTYImUpwDXPkPYsmvAq8AWYJZRbhy9SOppj1Ehd+aVerVNjraMAgZPN+C59nwQwIhipg179Q9bzx51SeA6g8J6TgSUDw8SmazsWhuCav/793fX9JbvPqU43r2zyhxtOQF8rbRfBWxYDIvYgy62OynpXcSyNlODFOZATNSuhntwMQ3hjkmVC0NQ/XBleFMngdTcYyUxVQIbEQBYK6PPZFyPmX6gylhDQU0k2WPCeaazE/yW4QgCEOKhmfjQNXFc/vzqIuF+0frM69+5vH7vn+kwA0cQYADwLsveyMajdpNyxbP+dDZp/SPdraEqngMlOYt614EQlX0RxLkZsli0xPZtBREmmsjCcos/Uj23GlGTxLv1VEy/BzxjubNMe0RWT5S0yK7TRrkUa2pyDVvJBsbQIx5cAxuJGzjafu4UfMmUU7CTGWLXfnmkEFWqnxI/A0BIh1HW3cTjIUDo3Z+7ofGa42blh7/hiMJwSNDUcwxt8fljl28tdaDQOQa/37Pj3a5hRyDz2UzUZ/HHByQkh3Q3NrsbZ9VMjNc3JTskyiWGrhJ8whioJrzTUYSwBOL9ekAPRlf0nwfHeAUbR2ZTRBTGIO2JKwysfEl7vWjKEr6xiEkmSShOzNQdU4kjZG7UEGMzCD90+NQ29hdT0CFzNUt50fBC/11j3b/t5HqjNtrQ9VJi/YcjnFEJTgAXPCGS8AKW8MLLxS358s9l520fF593OOocQJP9TgEDyE4j1rFCRLz62RmvARvIiEY6fep0g0TSWegqQRPC+Z0N4e0kpkG+6HQcDHJirStO0qKAJIUBoZUN6V3+n+YSRHQT02S3A/EsI9r173yZhrdlCO7t+HQoip10bYCWEwvIQh8WIWF9YG5My775dqW2zeP7AgvvvjiI4g8OZ5XsNV0x00/vBNh+a3i8tcue2bNttpaTtjrN+/cb3POgdCTCwRks1YKl+qmUaojA006d0xFNG0izDSWos3Wk6ziGgVapYKbjG4OhBpBTtF83NEhXq8DtNJBV/HrREWHgOy6hGOqyTygbi0lGJDZP1apoxsdSfNoLBSSN/TEts/4ZtaJERLYPhzbR872QaOCUAFyxYXjzJ33zpBdcPsbT1jDzzvn3S8E9F4YgAPA6l/fhkb3ufiPO3/+1MnHL3nWFvz84f1jbmdlBAPdI6g1OBq+DUIt5BmQowI2kwqpRdP8O3mRM6BuBu4E0MkEN0cy0i/Oykmuo9TcjkTRhc3B3BzgUy5oAurUogHZfN+4+1uCiRHjqZS+CRIUjiSwHanzOsBKPR1i/UjAtgK4joe6X8f6nRyhECjkGNzinAP58qz3tnb95FY7KKF7/uUvFOxeOIADwIO/uw1vuuwDmD+vb01vT8eO4xZ1n33ZOXsL175jG3bv97FmQwGwHJQsWQ/DZoDNRCK9ayLJli6smQ6XNaV3WsInJDvNbmtK8ii0NgV2GGCmhwBwpKW6+pFJaZ6SuglAGhSKNDN/agCnChhlaBtJHFfPIrLKpPMx5TlkVMCxA7i5Gn58j4V3/vNs+GIezjzptH3MHbjSC7puoX4HKr1XvZCQO/JKZnrc/MX3AwDq1dGbCLWsPdtnfIHWxjr/7rxNuO3+AF4I5JiAwwCHSZDrE25aENIcN8OdmwGANJk3dkp7Ms19o6zdxD+dgGkfDAHXo9mPihww8SbaEROVUiZKsSSx84YAiRDaaJ9oHsrTmAyX1T8nrRMkysYpLi49yCJax6isOX6gCvzbXRW0d8zGiuXn73FmnPHxhhfc1DmrfJgQdHDjBQe4Hm6xjDAY+0FP31mkvn/s83Nrt3QyEqLAZLGXgi3BzVSsiRCqdzmP6jRmxoT2b+gLbPDLDI8lmWOZCioxkBZJRXP7SX7rdLyVJDsVAy4FQM0UYuArYBsANV30kdUEyp2vwA19E5jbEhHdMMmvG4fKhpxEFp8glPElhACObcMPBWrhTLzn7av2XPL6Mz4hhPhBZ+fRATdwFAEOAMwqQYSj38+3nxfQIfa1BfP+3Da65wBKDkfeViVT1InmHPBDAV8Q3QkjUqokPmNjWtopMxEliNZHxzDXkexTITpYkx9DmgN/spExC0bxIsjEoaTX6++bfp+4EYzd4jgXZD2hAqpkROr3RIvsHME5QRBS+AGNup5J7k0RhNLaUmltwzXvvXDorJNP+Zgf4t9nHObYkoMdRxXgAEBYGaPj/s251lX7zzihNr/Vanzx96v/aLsOhc1YBCY/BLgn0AikKRHGY5ea0jbFy2M8mn8nlsLmMuV3j15T3Mbc5iDpSkZ4piYSgEaSusVPIiOLR5MRQsC5iPpsyiApgGqJTuK4FcWBoDPsCRGgAjIaMCSoewxBQKM4FAIO2wbauk7182X/6ktfc+oGwpxfEOJO9XOP+DjqAAeAcsHmj//lmZ998vLXOk+sGRxvL7PvPPrYE6RarVNCCBgjCEKB8Tow7skeigTSumIxwz5slGWbSLFMC+CE5E6NtMIXbZ9+bQpiMq27JJLWTQ8jqURUGVZ9J7295uEJKmNybLNRgdpZiAjy8vgqBiV22MgbgEBKZ0s1GiMEYIyh1nBwYMxGEMjmwFwIMFbgC+YtE6W2BR9s6Vn4b/v27vE6u4+c+/1gxhF39Ex3rFi+BDt27fLmzum6eemi/mOOW7b407NmdYFSjraKhb6eHM48oY7QaeC5GsV4IKtlcRErQVmbdtJqMZEXRscI6WOYIbTJ+aa7Nx0HJbnFBO+briaZbdJOnfSXNGN94lrh+n2y84NKzFHnj8NiHDknQKU0jkAM497HfTy7nWDvMMV4jaOltRMzexZ+utLWf0yh1H3z0L7nvM7uRYcDEodlvCgkuB4rlh8DALWbf/TTwZUnLPuC6xacnpkt13jju9isjjpOPHYcfX0H8MFvzgOILbN/qJBlw0nSTk6pcjFTQ0ob/4ukADARf57KbZ8c8jFCzIMe7Jjq/xk8HEhZWQw3ffLfKyKjIgQhhOyNKQBCZQ0U/X+pzulU9MRiIXKOh0JuDF+9PYcHn6I4ua+O+bNL6OtbEM7s7vhsuW3OF0YO7A6XLj/t8ALiMIwXFcD1eMfbLsHNt/w0fN/lb79277791rqn/nBVffhPuUoxQHuxhpA3MB7aKLL4QkclJKIKUs31wYSlwZxLKaVNzYaETIHZQ0F0/H2muidMt330PU1zoT6OkNaSJD+J38YZ8QBRdE9QnUFFVAYQUeXipNvdtjzsH3Uw2rAAqwXLV5zYOP9VZ32lta3j2gfvvxOnnHnR4bn4h3m8KAEOAO94+yUYGxuDY/nXHL/ybFob7Tqt+tz/ov/7nsppfDywfBGiYTEIqAtBlWvfimsHAojjOUTTp380EmCHoWxqB8kE9Eb/j6Q5cuqRMQmaK6Yp/eNEBcTSedJfGe8Xv8p/RDkBp3IFowJcyDgoi3G4TgOU+vjoW93gUze1PPCud7yJn7Si/wEv5NeMjo6iXD56ZsCpxqGLnBd4XPXlO+E4Tnl4eORfn13/9Ju37N5OtzznYG6FoK3AUcwBrkNg6UR9JPkmN4KU0jZwZtYlTHgslacy2pak9o3jUOLX5Pt0/EnSzZ+kVKYOEc/FKXmRZxPGvFG3UD7FdMHRuA5hmqLJ4ClAl2vTHTqkyY/DdTiKBQ8txToqpWE0whBt7X28te2YHzO75T2Ce6N2x7uONiSmNV60Ejw9vvLRC/GnR9eNUlb6UFDvWv+nJx5Y9vN72UUb1q5HR4Ei7zC4OQJbxdtyIVtGg6vXdGSesgNTzWe15DYsJ/pGiUA6xXfUDpL0tmnJnvEs6jnTQpLa39zXNHxzlelrZvfI35GtzZhIlIAMdw1DIAhV6CsA25JKp20B3PXgFBZj7ZbCHbmuc9bM7Bz4Om+Mj1ru4UsKPtLjJSPBzfGXZ7agvbU0754HB294/Im1F21cuwaUj6FYsGFbDEIIeIGA53MEARAokEeSXI24gitgUQLG4sqw+jUdrGQGJJmBWJH0NyS3lNYpqW88ESJTpi7XrCVyVPI5ltJpJdg8pllplukANcbBWFx62eTnnAMhJwhCAj8gaPgUnq/zMUPknABzenJYsmQAHV2L7siVj7uSByOb3VL/0b70Bz1ekgAHgE3b98G27QVPP7PhOO6Pf3jblvVnb9y4HvXxKghlGBkLMFYL4QcCQSgQqDaNXMTdyXRZY4sBNpP0hjFpdzcjCSNmmzEnmqBOAlxTEX2M2BGVDbYyaQlLAdwMFjOHlvh6fwlugDEZhWlbHBYTCuTKOS+01CYIOEEQUHgBwWiVYngM8BoBWlvLWLhwAY49Zv7q1hb76+2d/U/wMFjPnK6jfckPabxkKEp69PV2AMB6IcR6AGseuF/0HHvs0n/Zu3Ptgl3bH2H3POzB80jswuZAqGgL5xoYEumM6ijQGKxMATUi88Ioc2EaJRJuRJKM0DM0z7QkySQqpCkGUt5Y05mj9Qr1O0QUBC6VbSjJzxTQNcA5Jwg4Va28JY2xmYBj+9i4g+GMU1aExx+3ZL3nee8dWHTqTgCDmeZbL7HxkgW4HuoCDO7bPzzIefiank6rd+myZbcN7r6n8tzOncWxsTH5SA5l7Wo/BPwAAIGKVBQR/9QS1NJSXAFUcIJQ9eHjmuMIRUGUqxswvaIkUkBNSqNHJv9Sz+lFzcZKpIgeI1wphqF2yhCAcAHBABCi+szLfSzG4dghbCZtgZ5PIXyZHc8JQRhw5PJFLB/orJ509itHxqr80oGBedsZo5tf6sCO8HG0v8DhHEKEACjdNzTSMji48VRGxff+8uRg8OAja9u37dxX5mGIsbrA3iqBzShKjkAhJ1B0CQo5AjdH4NgUtkVgqS5fIPLm8AMOP+AIQkCCT0l6RqIbwmI0ojjMsKCkvmRUg0QPTUMkRdKUScCyYHRnkNsGIeD5kjuHISLLisUAxxbIOQL5HEfBDVDKByi4PgquD4IAQ6MF1BqO/J65ztFS2+L9nd0LLdfB5e2dfX+03cqBMBA857xoHNzPe7x8fgkAQhgIIbxRqw7N7++9q621sugnP/7p/A++7+2fPefsU54c6Ot5bMnC1vrixcCeWojhmkDDFyoISbaLdiwKx5ZLzmFwHYacQ0GIjIfxfA7PB/xA0x0ZaRdTCt2jh2RMjoDhLudC7SsQchGFAUcOGN3ehAGOJZCz5WIzqSg2PKDWAOoe0PDl4vkEQSCVSAIB2wpRzNdRzA9j2xDHvrGWeq7Q89jc+Sc9+YrT3vLZ3/3mF/PdfHlRodx7V3W8NmRR8rICN/AyoCjNRm/vLEBS5vGnBzfBtq0vWox98aLXLmOzuorfYWzHoo99Z9+ZWzftYSGpgbEQRISwmQSzbTNYVqx4EiIQhBy7hwQCXwZ4WerMEUJgxZURoiZUuluLLukgoEsx6EVEtCSqP8rlfvK4UnrbloBjcdiWgMUEPJ9g3wjF/hH5hLDVE0Oa9wAZrRKiXKAo5IGWlhzc4qxw57PL75vR0jVYp9UrKB0PbdvFBz58rWhp7xs/2tfrSI6XFUWZzti2exilQq5t47a9n7vhh3c5O7dsDVf0519RKdKV49VhiLCGfI6CMgu2BZQLAj0zfDy7u47/s5oAAUFLAcjZBDmbwLEJ3ByF60iJn3MoHJtEaXZcKYOhWmQBSi39eaSfMiqpkesQuDkgnxNwcxyuI5CzOVwnRKXkI+AN3L7awdbtDrpbgbxLYTGKkIfI2QSdHSX09rSjvYX/ee7MnY/0zJrJKl1v8qjd/UnB60PUeXFE+b1Q42UpwScbs7taAWAIwPsB4Le/uweE4OwgCF7tNWqXgtcXB0ENa9dugGOHKOWrmDtzP0a8YeypzkCOF5B3eFzCgsbWDItJwOccqcAKaP4e299l6QUBHkrzZRgq9zgTABgsSyYOUCp5uGNx5GyOnBOipejBE/uwaY+L9VtbUHQsVCplVEoOemf3o1wqoq21uLalXLzNde1fe0Ksbus7E8DVR/u0H7XxVwfw9Fh13isBYPXQ0NBqAPdChPOHhvbzdRt28jmzZ/T3z6t8vC33FOaQGtoqdQztHkejwVGvA4W8DUooHItDcArGANcRKLhAzpbAHW9QhFyb5RCRbCEEGj5HvSHdrI5FVWw1QyEnC5XaVgg358NmHnwf8LwG8uUWLF8ygIJbxLmnzkHoH/iCCA48e/ZZp9PW1jaac+wNAO5qaW072qf2RTH+6gGuR1tbGwDcpT+Pje4BY7nW6siOB4JqDV204b/zkp5/tAl5lWtzVGshfn/fn4FgDJZN4eRsVEo2WkoeclYdpYKsDTK4JY/xmg3GpDSX3lUOSgmCIMCmXR5cCyjlKVpbXLSUHbguRbHIkXcpZnSU0D1nJfzAgeuGcGz/7v55418rFlz7xJXHon/erNW1emO4t2fm0T6FL8rxV8fBD3Vs3LQTAPq5CLsIEXys6uNb37sd9bE9KLgMbRUbrUXhrzrn2Osa9bELSm7Vr3njuP+JFnRUHLg5aYWp1SU1cR2KjtYG/vC0h0bVwsw2x65Uyj/fsfkv183uztsdLRz5nI85vRUsWHYpAu6CUUEZI7sBPFusHFzP9r/W8f8BfhjHtmfvAwG69u3d21LIjYih6jjue6wV/d02Ci6BHwK1uuTdbo6iv7eBe570MDJko6s9R7q6ug8IIXZf+Lozj/ZPedmM/we92kGVaBQhSQAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzoxMzo0NSswMDowMF9XhykAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6MTM6NDUrMDA6MDAuCj+VAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 53647000
{'hecke_orbit_code': 1924178903565, 'n': 1, 'trace_an': 8}
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id: 53647001
{'hecke_orbit_code': 1924178903565, 'n': 2, 'trace_an': 0}
-
id: 53647002
{'hecke_orbit_code': 1924178903565, 'n': 3, 'trace_an': 0}
-
id: 53647003
{'hecke_orbit_code': 1924178903565, 'n': 4, 'trace_an': 0}
-
id: 53647004
{'hecke_orbit_code': 1924178903565, 'n': 5, 'trace_an': 0}
-
id: 53647005
{'hecke_orbit_code': 1924178903565, 'n': 6, 'trace_an': 0}
-
id: 53647006
{'hecke_orbit_code': 1924178903565, 'n': 7, 'trace_an': 0}
-
id: 53647007
{'hecke_orbit_code': 1924178903565, 'n': 8, 'trace_an': 0}
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id: 53647008
{'hecke_orbit_code': 1924178903565, 'n': 9, 'trace_an': 0}
-
id: 53647009
{'hecke_orbit_code': 1924178903565, 'n': 10, 'trace_an': 0}
-
id: 53647010
{'hecke_orbit_code': 1924178903565, 'n': 11, 'trace_an': -24}
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id: 53647011
{'hecke_orbit_code': 1924178903565, 'n': 12, 'trace_an': 0}
-
id: 53647012
{'hecke_orbit_code': 1924178903565, 'n': 13, 'trace_an': 0}
-
id: 53647013
{'hecke_orbit_code': 1924178903565, 'n': 14, 'trace_an': 0}
-
id: 53647014
{'hecke_orbit_code': 1924178903565, 'n': 15, 'trace_an': 0}
-
id: 53647015
{'hecke_orbit_code': 1924178903565, 'n': 16, 'trace_an': 16}
-
id: 53647016
{'hecke_orbit_code': 1924178903565, 'n': 17, 'trace_an': 0}
-
id: 53647017
{'hecke_orbit_code': 1924178903565, 'n': 18, 'trace_an': 0}
-
id: 53647018
{'hecke_orbit_code': 1924178903565, 'n': 19, 'trace_an': 0}
-
id: 53647019
{'hecke_orbit_code': 1924178903565, 'n': 20, 'trace_an': 0}
-
id: 53647020
{'hecke_orbit_code': 1924178903565, 'n': 21, 'trace_an': 20}
-
id: 53647021
{'hecke_orbit_code': 1924178903565, 'n': 22, 'trace_an': 0}
-
id: 53647022
{'hecke_orbit_code': 1924178903565, 'n': 23, 'trace_an': 0}
-
id: 53647023
{'hecke_orbit_code': 1924178903565, 'n': 24, 'trace_an': 0}
-
id: 53647024
{'hecke_orbit_code': 1924178903565, 'n': 25, 'trace_an': 0}
-
id: 53647025
{'hecke_orbit_code': 1924178903565, 'n': 26, 'trace_an': 0}
-
id: 53647026
{'hecke_orbit_code': 1924178903565, 'n': 27, 'trace_an': 0}
-
id: 53647027
{'hecke_orbit_code': 1924178903565, 'n': 28, 'trace_an': 0}
-
id: 53647028
{'hecke_orbit_code': 1924178903565, 'n': 29, 'trace_an': 0}
-
id: 53647029
{'hecke_orbit_code': 1924178903565, 'n': 30, 'trace_an': 0}
-
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