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mf_newforms • Show schema
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{'Nk2': 6120, 'analytic_conductor': 12.217111509255899, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [1530, 4, [1361, 307, 1261], [2, 1, 4]], 'cm_discs': [], 'conrey_index': 647, 'dim': 16, 'field_disc': 1573541673494879666176, 'field_disc_factorization': [[2, 36], [389, 4]], 'field_poly': [1, 4, 20, 24, 40, 84, 66, -20, 18, -72, 88, -48, 2, 24, -2, -4, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [400, -160, 32, 96, 104, 8, 0, 0, 1]], [11, [1024, 0, 1536, 0, 448, 0, 40, 0, 1]], [23, [4096, 0, 0, 0, 1330026496, 0, 0, 0, 24819072, 0, 0, 0, 9968, 0, 0, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029621686240762, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 256, 'hecke_ring_index_factorization': [[2, 8]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 5, 1, 4, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 3, 2, -1, 2, 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': '1530.2.m.i', 'level': 1530, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'minimal_twist': '1530.2.m.i', 'nf_label': '16.0.1573541673494879666176.1', 'prim_orbit_index': 5, 'qexp_display': 'q+\\beta _{8}q^{2}-\\beta _{9}q^{4}+(\\beta _{2}+\\beta _{5}-\\beta _{6}+\\beta _{15})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 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mf_hecke_cc • Show schema
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4, 'embedding_m': 4, 'embedding_root_imag': 0.5372068202367848, 'embedding_root_real': 1.296931991214971, 'hecke_orbit': 9, 'hecke_orbit_code': 36029621686240762, 'label': '1530.2.m.i.647.4', 'level': 1530, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 6120, 'analytic_conductor': 12.217111509255899, 'char_conductor': 15, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [1530, 4, [1361, 307, 1261], [2, 1, 4]], 'conrey_index': 647, 'cusp_dim': 616, 'dim': 64, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 23], 'hecke_orbit_code': 824667276794, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 8, 16, 16], 'label': '1530.2.m', 'level': 1530, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'mf_dim': 680, 'mf_new_dim': 64, 'num_forms': 9, 'prim_orbit_index': 5, 'relative_dim': 32, 'sturm_bound': 648, 'trace_bound': 10, 'trace_display': [0, 0, 0, -16], 'traces': [64, 0, 0, 0, 0, 0, -16, 0, 0, 16, 0, 0, 16, 0, 0, -64, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -16, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -16, 0, 0, 64, 0, 0, 0, 0, 0, 16, 0, 0, -16, 0, 0, 16, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 32, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 96, 0, 0, 32, 0, 0, 0, 0, 0, 16, 0, 0, -32, 0, 0, -48, 0, 0, -192, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 64, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 48, 0, 0, -16, 0, 0, 192, 0, 0, -96, 0, 0, 0, 0, 0, 16, 0, 0, 16, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -64, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, -16, 0, 0, -16, 0, 0, 160, 0, 0, 0, 0, 0, 160, 0, 0, 32, 0, 0, -96, 0, 0, -128, 0, 0, 0, 0, 0, 16, 0, 0, 64, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -64, 0, 0, -96, 0, 0, -192, 0, 0, 64, 0, 0, 0, 0, 0, 48, 0, 0, -192, 0, 0, 16, 0, 0, -32, 0, 0, 0, 0, 0, 32, 0, 0, -16, 0, 0, -160, 0, 0, -32, 0, 0, 0, 0, 0, -16, 0, 0, 176, 0, 0, -112, 0, 0, 192, 0, 0, 0, 0, 0, -144, 0, 0, 96, 0, 0, 176, 0, 0, -64, 0, 0, 0, 0, 0, 128, 0, 0, -144, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 48, 0, 0, 16, 0, 0, 288, 0, 0, 192, 0, 0, 0, 0, 0, -16, 0, 0, 176, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 64, 0, 0, 208, 0, 0, -32, 0, 0, 0, 0, 0, -160, 0, 0, 192, 0, 0, -16, 0, 0, 160, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, -96, 0, 0, 32, 0, 0, -128, 0, 0, -64, 0, 0, 0, 0, 0, 256, 0, 0, -96, 0, 0, 32, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 16, 0, 0, -256, 0, 0, 0, 0, 0, 32, 0, 0, -32, 0, 0, -384, 0, 0, 64, 0, 0, 0, 0, 0, 48, 0, 0, -96, 0, 0, -32, 0, 0, -416, 0, 0, 0, 0, 0, -208, 0, 0, 96, 0, 0, -16, 0, 0, 64, 0, 0, 0, 0, 0, 208, 0, 0, 80, 0, 0, 32, 0, 0, 96, 0, 0, 0, 0, 0, -352, 0, 0, 32, 0, 0, -144, 0, 0, -64, 0, 0, 0, 0, 0, 192, 0, 0, -128, 0, 0, -240, 0, 0, 320, 0, 0, 0, 0, 0, 224, 0, 0, 144, 0, 0, 96, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, -64, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 256, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 224, 0, 0, -32, 0, 0, 0, 0, 0, -112, 0, 0, 32, 0, 0, 240, 0, 0, -64, 0, 0, 0, 0, 0, 96, 0, 0, -160, 0, 0, 48, 0, 0, -64, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, -96, 0, 0, 224, 0, 0, -224, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 144, 0, 0, -64, 0, 0, 0, 0, 0, 64, 0, 0, -160, 0, 0, 16, 0, 0, 320, 0, 0, 0, 0, 0, -144, 0, 0, -48, 0, 0, -192, 0, 0, -128, 0, 0, 0, 0, 0, -160, 0, 0, -352, 0, 0, -96, 0, 0, 256, 0, 0, 0, 0, 0, 128, 0, 0, 144, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 528, 0, 0, -16, 0, 0, -192, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -352, 0, 0, 64, 0, 0, 0, 0, 0, 48, 0, 0, -416, 0, 0, 176, 0, 0, 64, 0, 0, 0, 0, 0, 160, 0, 0, -384, 0, 0, -704, 0, 0, 32, 0, 0, 0, 0, 0, -96, 0, 0, 256, 0, 0, -112, 0, 0, -416, 0, 0, 0, 0, 0, 64, 0, 0, 48, 0, 0, -48, 0, 0, -320, 0, 0, 0, 0, 0, 16, 0, 0, 192, 0, 0, 272, 0, 0, -192, 0, 0, 0, 0, 0, -304, 0, 0, 64, 0, 0, 224, 0, 0, 160, 0, 0, 0, 0, 0, -96, 0, 0, 448, 0, 0, 160, 0, 0, 160, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 272, 0, 0, -96, 0, 0, 0, 0, 0, 96, 0, 0, 592, 0, 0, -352, 0, 0, 64, 0, 0, 0, 0, 0, -128, 0, 0, 64, 0, 0, -320, 0, 0, 192, 0, 0, 0, 0, 0, -48, 0, 0, -224, 0, 0, 16, 0, 0, -64, 0, 0, 0, 0, 0, 288, 0, 0, 64, 0, 0, 416, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, -544, 0, 0, -128, 0, 0, 448, 0, 0, 0, 0, 0, 64, 0, 0, -208, 0, 0, -320, 0, 0, -64, 0, 0, 0, 0, 0, 80, 0, 0, -352, 0, 0, -64, 0, 0, 288, 0, 0, 0, 0, 0, -576, 0, 0, 16], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46705611
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 647, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029621686240762, 'source_is_minimal': True, 'source_label': '1530.2.m.i.647.4', 'source_level': 1530, 'target_conrey_index': 647, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029621686240762, 'target_is_minimal': True, 'target_label': '1530.2.m.i.647.4', 'target_level': 1530, 'twist_class_label': '1530.2.m.i.647.4', 'twist_class_level': 1530, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46705612
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 647, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029621686240762, 'source_is_minimal': True, 'source_label': '1530.2.m.i.647.4', 'source_level': 1530, 'target_conrey_index': 647, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 36029621686240762, 'target_is_minimal': True, 'target_label': '1530.2.m.i.647.5', 'target_level': 1530, 'twist_class_label': '1530.2.m.i.647.4', 'twist_class_level': 1530, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46705613
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 647, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029621686240762, 'source_is_minimal': True, 'source_label': '1530.2.m.i.647.4', 'source_level': 1530, 'target_conrey_index': 953, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 36029621686240762, 'target_is_minimal': True, 'target_label': '1530.2.m.i.953.5', 'target_level': 1530, 'twist_class_label': '1530.2.m.i.647.4', 'twist_class_level': 1530, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46705614
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 647, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029621686240762, 'source_is_minimal': True, 'source_label': '1530.2.m.i.647.4', 'source_level': 1530, 'target_conrey_index': 953, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029621686240762, 'target_is_minimal': True, 'target_label': '1530.2.m.i.953.4', 'target_level': 1530, 'twist_class_label': '1530.2.m.i.647.4', 'twist_class_level': 1530, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2015650
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 4]], 'hecke_orbit_code': 36029621686240762, 'p': 2}
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id: 2015651
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 36029621686240762, 'p': 3}
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id: 2015652
{'charpoly_factorization': [[[390625, 0, 125000, 0, -7500, 0, -5000, 0, -634, 0, -200, 0, -12, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 36029621686240762, 'p': 5}
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id: 2015653
{'charpoly_factorization': [[[400, -160, 32, 96, 104, 8, 0, 0, 1], 2]], 'hecke_orbit_code': 36029621686240762, 'p': 7}
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id: 2015654
{'charpoly_factorization': [[[1024, 0, 1536, 0, 448, 0, 40, 0, 1], 2]], 'hecke_orbit_code': 36029621686240762, 'p': 11}
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id: 2015655
{'charpoly_factorization': [[[43264, 3328, 128, -640, 1184, -16, 0, 0, 1], 2]], 'hecke_orbit_code': 36029621686240762, 'p': 13}
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id: 2015656
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 4]], 'hecke_orbit_code': 36029621686240762, 'p': 17}
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id: 2015657
{'charpoly_factorization': [[[4096, 0, 5120, 0, 1152, 0, 64, 0, 1], 2]], 'hecke_orbit_code': 36029621686240762, 'p': 19}
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id: 2015658
{'charpoly_factorization': [[[4096, 0, 0, 0, 1330026496, 0, 0, 0, 24819072, 0, 0, 0, 9968, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 36029621686240762, 'p': 23}
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id: 2015659
{'charpoly_factorization': [[[2704, 0, -3040, 0, 952, 0, -64, 0, 1], 2]], 'hecke_orbit_code': 36029621686240762, 'p': 29}
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id: 2015660
{'charpoly_factorization': [[[40, 64, 12, -10, 1], 4]], 'hecke_orbit_code': 36029621686240762, 'p': 31}
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id: 2015661
{'charpoly_factorization': [[[2729104, -898688, 147968, 25872, 3752, -464, 72, 12, 1], 2]], 'hecke_orbit_code': 36029621686240762, 'p': 37}
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id: 2015662
{'charpoly_factorization': [[[350464, 0, 72576, 0, 5216, 0, 144, 0, 1], 2]], 'hecke_orbit_code': 36029621686240762, 'p': 41}
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id: 2015663
{'charpoly_factorization': [[[456976, 156832, 26912, 4240, 2952, 1032, 200, 20, 1], 2]], 'hecke_orbit_code': 36029621686240762, 'p': 43}
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id: 2015664
{'charpoly_factorization': [[[10485760000, 0, 0, 0, 30949769216, 0, 0, 0, 85221376, 0, 0, 0, 24320, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 36029621686240762, 'p': 47}
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id: 2015665
{'charpoly_factorization': [[[8540717056, 0, 0, 0, 47169093632, 0, 0, 0, 83375616, 0, 0, 0, 30016, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 36029621686240762, 'p': 53}
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id: 2015666
{'charpoly_factorization': [[[5776, 0, -11168, 0, 2104, 0, -104, 0, 1], 2]], 'hecke_orbit_code': 36029621686240762, 'p': 59}
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id: 2015667
{'charpoly_factorization': [[[-1912, 168, 120, -22, 1], 4]], 'hecke_orbit_code': 36029621686240762, 'p': 61}
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id: 2015668
{'charpoly_factorization': [[[400, 1920, 4608, 2400, 360, -576, 288, -24, 1], 2]], 'hecke_orbit_code': 36029621686240762, 'p': 67}
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id: 2015669
{'charpoly_factorization': [[[55696, 0, 33408, 0, 4856, 0, 216, 0, 1], 2]], 'hecke_orbit_code': 36029621686240762, 'p': 71}
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id: 2015670
{'charpoly_factorization': [[[1081600, 1198080, 663552, 220608, 48096, 6912, 648, 36, 1], 2]], 'hecke_orbit_code': 36029621686240762, 'p': 73}
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id: 2015671
{'charpoly_factorization': [[[59845696, 0, 3255040, 0, 61040, 0, 452, 0, 1], 2]], 'hecke_orbit_code': 36029621686240762, 'p': 79}
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id: 2015672
{'charpoly_factorization': [[[5781838274560000, 0, 0, 0, 5315029385216, 0, 0, 0, 1187874304, 0, 0, 0, 77888, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 36029621686240762, 'p': 83}
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id: 2015673
{'charpoly_factorization': [[[438818704, 0, -12555744, 0, 131768, 0, -600, 0, 1], 2]], 'hecke_orbit_code': 36029621686240762, 'p': 89}
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id: 2015674
{'charpoly_factorization': [[[614656, -50176, 2048, 29120, 14112, 3072, 392, 28, 1], 2]], 'hecke_orbit_code': 36029621686240762, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 9, 'label': '1530.2.m.i', 'level': 1530, 'portrait': 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TDy2LkpxleGWAviNGCpIxmMfAJPIIxmfkozN5my3AnpDATDxGelL9g0qVlqa05eUNT8gE0zsG0+YuPskA2zIzbNjti20XDJJsWV233qqsmxkxN848mAhw8mPH4iJlVd3vyyNm9/iaGuZjl4YopjZz3OXEw5n4H78KLhxqsX+KX3rrB9bpKzF6e4uFJjqe2z3JasdFO6vZTeUHDw+CKHTrWvfOzQxZcfO31h5/GzF79403e9M7r7S594riHxLd3+XjP48kqbKDIoxfu+/sjRl/zCb90i3/WSQy/5128/4y2sbGS5PcFSu8FSO2Cp7bHUhuV2ynI7Zmk15fwqHFkSzM+t8p9+cIkX7mlw6sIMZy82ObvocWHJcH4x4fRCysVuwtTMkJde2+PFV0Ag64Qq5MJyjXOLHueXBf0RJImmFmiatZTpyQQNnDif0OnBjo0+zfoIYwSIgN5Ac8mmEUurHhgrRVZ7MErAYFhuR2zd4NMdKIQyCD1iouZzyeYhq33BibMeqfaYnZC0aoLQhyQR9EeS88uSc0uGCysJYTgEP+Gmq3q85GrB/ESdpZUJTl0IObsIFxYTLiwnnFmGI0uGF1y1yK/84AqbpiY4eX6G80t1FlYCFtuS5dWUlU7MSidluatZ7EpOdWB1ucNv/uso+f7X1e4J5n5CB40r75HoX0jxCWsTzzVUnvH295bBP/Qnt/CSm27gZ3/2Z3/1o7d87V9/8M+/ctm+E+2dh8/25Uuv6XHplpRUexijMMayN0YCEhAIYfCEIZBwdqnO/Ycl1+5e5ortQxo18D1J4CuCwKNZlzR8Sb/nc+B4jS8/HHDi4ohOEnPg1IiNs8u85aUrXHtZlxdc0eb4YsJiX9AIhxw9a2h3mlxzqWR1mLLvuKLV8HjqBFy+xTCMUoZpgOfFTLdg/6kQ5aX4MsHzYTCSvPCKPoO+5NrLUjqDlBNnW+zapGg2IlZHhg1TfVZ6HT7+NXj0WMrjx4bs2LLEdXs7TM9EvOmmLu94hWH3phZpPMWxM5McOe1z6rzm9MWY0xdTjlwUnFyNed6eBf7TD3bZODXFqfMzXFhqsLAasNSWrLRT2t2Y1V7KSs+w3BNc6CtWOgk3XrHIT7/1oqx7YufF8yd2DQfJi8KJS+v1xvRXHv7Gp/nAB//8uYbMure/lwz+sY/9Nc+7cqu6/b7D/+HYyfO/+NATx9X55YiloeJs33Dtjgv85k8ucP3uBheWpllqN1hu11hu+yx3PFa6sNJOWekkLHcTFttwakXg1YfcfPUy3/uKiF0bmqz2Jri4XGdhOWCxLVhuW4mw0tV0BprOyNAfJsxOxFyyUQOC0DecvugjZMiODYpdWwxbNvS5sDLisUMtnn+5oVFf4cnDM7SaEVHkMzutGQzhykuGfPRrU+zdnjAaGeYmJXE6oFULeer4kLrf5Po9CY8fjbiwFLB1NmTXZrhkU4RSMacXIfANQhh2bEyYbkm6g5Be36fT91nuKJZXYamtWW6nLLZTzrdhaZhyydYe3/vKRW6+wqPmT3BucYLFlRqLqx7LHcFKW7PajVnppqz2DEs9ON9VXFhNeOHe87z/J5e4fGuTpfYEq50a3eEEqnZZGtQ3/+pAXvorgT6bvvxV//i5hs6a298rgB88eJB6rVY/c+b0JQ8/+tS7j50485/3HzrNMJb0hrA6sIxytpvwgkvP8xs/ucx1l9a5uDLN0mqDlU6N5Y7PSsdjpQPtrma1m7DSTVjuGC60BWd7BkSPt7+szZteqLl0c40oarDSrrHaC2h3FSs9QbcvGI4MUWJIU1DSEPpQDw1TE4YNMzGeP+TIuYgnDofopMkbXhTh+as8tG+SnZvhC/cnvOyakIvtATVPkaQxM9OQxD6en7C01OClN3T4wr0tdm2GBw+N8Gnw+hdqEjHgiSMpx07X8GTAxmmP6aagHgqCQKAEJBqi2DCMoNs3rPY03b5mta9Z6hkGacqObX3e9OI2b39JBLrF0uokF5frVm93PFbasNpNafcSVjNwL/fhXEex0El5wZ4LvP8nL3LVjjoLK1Osdhu0eyGdnk+7Kwga26g1N/77zVuv+Mtt27aeHA6Hg8v37H2uoVTc/t4A/MSxw8zNzwdHDh/+4YOHDv3uAw89KpaWe3I40vSGmu7Q0B3A6kBycSA514154WUX+fUfW+KGy2osrk6xtNpkpROy2g1Y6XqsdgXtrqHdS1ntJrR7mpWe4WJXcK6tmZ7q810v6HLTFQk7Niom6j6dbo3Ql4AiSiRaC7SB/hAQmunWkENnDNpE3PZgk1G/zmVbA26+tk+sV7nz4Smuv9zn0Pke7ZUJXnxtn688FLJxxrDvhOF/e1uHfcdDNs5Ivvyw4uYrFcv9DkdPzXD9nog7nxiQjBrcdFXA7u1DBkmPLz2kIBUcOe0x0fDwBPQHEm0EqTbECSA1XqBp9wzNVsz2zSNecmWf73p+wmyzxoXlSZZW66x07LlZ6QjaPWh3E9q9hHYvpd03LPcl57uCxW7Ci/Yu8Ks/tsB1u2osrE6y2m3Q6YV0+j7dvke3r+gOBHFa07svv8bs3HXZT1+6+/I/Xly8GF2xd89zDSng7wnAkySR0Wjwlge/8YXLur3k/Q88+JA/GMEwMgyGKf1hSm+o6Q0N3YGgPRBcHEjOthNuuvIi7/uxBZ6/O2C1M8nCSot2r8ZqN2C159HuKtp96PYMnX5Cp5fSG2jafcNCT7DQgzgdcd3lAzbNpPT6hje+eMTOTZoklXjSEMVwx2M1Tl6ssXk64ckjNdANrtimuGGvJqz1eehQn4XFJlfvbDIxtcK9j/vceHmNpf4qKysTbNpkuH+f4p+8uscD+zy2bfBZ7LVZWZ7hhiv73Ptkykx9iqsv63Gx3eb+p6eoe01esNew55IhyB6PHRNsmIm5sBBz52M+w1ghJaTasHNzxHe9OKLbU2yZ1txwOURRg+V2g+V2yGrPp9NXtHuSTg86/ZROL6XbT+n0Nat9w/JAcqYjaA9G3LxngV/50RVecLm9ONrdOp1+SLfv0x14dPqK3lDSHwi6/ZTeIOH6G14Qa+P923d9z1sON5v1z/q+r59rbD3nmczRqE8c93/w1LGHfnPh/MGZ8xdWaNZtmloIA/Z/2c1agEIYpDRI6fHAwY38wh96vO3mZd7z6mV2bY04vzRBGNSphwGN0KdZ9+jWJa2Bz2TTsxfMIGXjSDMYGbrDkOWFGqdPGaJEc+Z8QhgaQBAogycF/YFC4JP0PZ63U7B7i+GSrX1GaZdbH1DsPzzN654fcsOVK3zkVkMgGuzc2ufxexVbpxRzE31qqk4U+1zsQrPmsW2j4NH9ETfsqfOK6xf58OcGBH6L177I4Id9vnp/xBfua/L0sTqXbmmwc3PK/HTErrmYa3amKKXxlAEMjTBkfiokin26/YAnD/m2RGFggdgbQG9o6PXtZ+8OUnoDQ2dgWB3AQl9xYcXQmGzzM29Y4B/fPOK6S5ucW5yg3avRLcCt6A0U/aFkMBQMRpYA4gTuuvsBf2Ji9jc3bNi0/MqXvfD/6HT6H56YaDyn+HpOAR5HPRD86Nlj977v2P6vzYz6XephgMmcEIMAFAi71AgBUthOGiUNSqYEUvL4oXkeOdjk0NmLvO0lPV5y1ZCp1gTL7QbNTo2JQUCv79kvZygZDD36I4/hyDCMNFFsiGNDktojSgKMBqkEvieoBYKplmC6BZvmNNs29pmbbvPFh+CuR3yknuR1z/d53hVd7n46JhpOcPPzBO3BgItLTW7ao5mb6lP3QoaJYqETo7TgeXs8Gq0RDx+o8fIbJnnxdV0ePqDATPL8qwJ+5M3LfOXRiC8/0GTfyRqXzCs2zdSZbjWYbEE9BN8zKAnawL5jgjQVxIkgSmAUYz/jKGUw0gxHmv5Q0x9pegPojGChJ7nYhZEe8prrl3nLS9p8/2s1STLB+cUmnV6N7iCgN/DpDRTdgaI/FPQzcA+GmsEoZRRpBiPNxaWznP3LW2d6w+T//MdveoXX6fb/cKL13IH8OQN4NFpCkP7Iwuk733fhxFc2SNOj2QiRI7uqCQAhEQiEUAghkJIM3KCUwVMGX2nqvmCxX+djX9vGVx/p8LJrVnnva1a5ZleP2akGS6sNuoOQ/sDPgK3sEQlGsSROBElil3qTLRdKGjwPagE06pqZVszWDX0Sehw6E/PxO2scPdVkKqxz41UeN13b4f6DbW77xgQvurzGJZv7fPRrAiVCJloxq70R2oASMD/Rp9MN0Emdt7zsIh/7QoPdF2q86UV9oniJO5+YJU5rvPCqDbzpxg6Xb2/z1Yf7PH6qwWPHArbNSGYmBI1QEPj2IpQChDBoA1ob4iS7WGPDKLYX8jCCQQTdoWBlJFjugvCGXL93lfd+1yovuypldqLOSqdBu1un2w/pDX16g3Il6I8kgyH0swtnOEwZRJrhyDCKIDGKsxfafPhjX97QH/G+d7z5pebcheU/2rxx5v8ZADcrv8LCypUMFz/5Q9Fo8P7OxafmPLrUayGIJONtDyEsyoWQCCEQQqKkh5QpSolsedb4yhB6hronWBkqltrTfOKOJvc92ePm61Z572tXuX53m9m0TpKE9Ic1egOfwcgjihVxIklSSaoF2gibBRWGMNA0aglhEBH4I84sjfjcg5LDpwOOnZ5G6ZDdmwOu3KV4/hUdVLjAE0dabJ1qcPWlsGl+heXOBNdslSTa8MUHQkZ9yVQz4fUvHPLZO2NOnm+x9zKfc6tDnjrqs33jNNftWuDux7vc+5RgFAVcsWuGK7aHXLGty5Fzyxw+Aw/sb3DoaJOGJwg9STM01HyQ0hKDMfZiTVKIEohSQW8k6AwFnRginaDNkBdc3uG939XhZdekbJ4JGQ4nWWrX6PZCesOA/sCjN1T0h4rBSDAYSgYj2zc6HKXW4x9ZcA8izTCyjk6UKhbOdfjAX9y+4aFDF9/fnGgm/+n3b/3Ik08f5eO/+c//4QL8Z9/3P2DqI8g236+SE7+dds5N+SKkUa8hpCwkiBBkrI1laylQSuApld1rPJXie4LA0wS+IfQNjSBlqibojnxWOtPcctcEX3tsyMbpPu9+ZZsrtg8ZDnpcvcuwfZNiFPukaZnmFxik1PheyokLhmPnBasDzWfubnBmcRoT+UzXFFtmPXZs8rh0K1y9u4OWi/zBZ5ssL0/yois8rt7d5quPCUTis2Fa0mwk9OMAaSQYifIC2kPBhWXBVabBK5/f5Z6H62yZC3jR1TP8szcv8sdf6PLAgSa9oc/SaotdW+rs3dznhXu6fM/Lu5xdXuYzd4cs9UNOnPM5cybAVwIp7aqnjSHVEGtDmmimZ2OuvarPaBRzxfYR73zliA2TiplWSBzXOLdQoz8I6I/sKjcogC0tuEeC4Qi7EoxShpFmFKVWAsUmAzkMYkE/EgxSjzNnOjzx1/fMXb1r7rdvumFD/PHf3P7nyyffx8wlv/APD+A/8St/Qut57xU/8LPiXdsmn/rg977iqcbVu0ILZmQG6hLgUhiktFJBSomSEk8JPJXdewLfSwk8QeBrar6hHhsakWGyljJdF/QjSTdqcux0k1//8xnQCSJJeP61fXZtikgS0EZjjE3iSCGQSuD5AQdOBuw7XKNZ82gFkrmGYH5WsmHGY8u8YsfmlL07VknFEv/9kxOcODnFi/b4XLEzZZB0+cYTIVN1n9lJw1QrolG3UkhrSXuoWO4Zltop7V6dl169yoP7+uw/qZiaqPHCq6b4sbcs8TufgocPN+kNDKtdjwvLE2yaa7BhesiO2SE/+64+E402jx+DA6ckvm9QyiCEJo/OjYEkgZ2bUm6+JiGNfeIkxJgGw8jn/GLAYGRXtGGkCvk2iATDkWAYWdYeRTYrOxppRpFmGOvsNVMw9yAWDGJBNxKsxIJuokn7A+Luo1Nve9H8B39naTGh/hOf6J1tmOaWf/UPB+D/8r98nJ1b59Vjd//J2w+eWPrIn92/UHt0/xS//lMdrtjeQ0r7pQihkSJESoOSPkoZlFQopTK9LfE9qzkDXzHyJaNIE0Ypo9hQjzWjWBNFhokERrFmlECUCIaxZJSGxGmN/YebPLYfUmOw0Lba2JcQKFvz0Qrh6s0wUYfJpmS6pZid8tgwA5dsGrF5fpXYLPPfPznJkaOT3HCp4tJtkt3bVrj9qYQLS5M8f5dkekJTCwaEMsQoQZJKhDEkacRKr8aFJZ8brqjzvD1d7n64xsZpQaPW4oY9mp95+xK//SnNU2darPY0q13FworH3FST6Yk60xOTTDRi5psxO26ICP0E30tQKkUKG0wY7EUVx4qLCx5xoogTRRQrRnF2H0lGsWQUSYaRZBQJG6BGglFkGEX2vI6ilCjKNH1sXx9GMIwFwxj6BbglvShBD/s8b+cK7/vpJV577dlGt+1/JO18VKdyzyeXT3wgndnxk9/5AP8Pv/ExppqBOnni9DuPHb/w4YeePlejNcOt9/v4nuRXfmyVK7d3UTJFKm3BrXyU0vZeGnxl8D2F7xn8SBL4wn4JvmAUKKLYAj2ODVGSWlckcY4UktSQpppUY/W2pgB3LoU8Cb4PoSeohYJGKGk2FJMNyfSkYMNMwo5NfVrNVT55T8SdT8ywujjBtZcodmz2uXz7kFSs8sUHGjR9j/lpRasx5Ikj8PRRj2u2G/ojxXWXx1y723D+XMrCSsBg2OANN3b5+uMDDp1RNOuSMJjgmks1v/JDS9zx1IDP3jHHUsewY0PKSttjakIx2fRpNXyadUMt1ISBJvRSPGWllsxaK43BJqy0INGSJBUkiSBOJFEiiGPJKLbOSxQLotgQRTCKU6JYEznEMYrdw4J7kIG7E0vaMfRHMTLuccPOFX75x5d54ws1vf4U/eHxGn7rT/Eb/9TI+b86c/CP0617fvg7G+A1qeXqavs9x4+f+b0D+0/WJhsencQjFpK/uVcRjRTvfFWHd72mx/RESldqPJlmOtvqYd/z8GOP0FMMfcs0I18SBYIoFvbLiRVxAlEsrYOQlLZfkmrS1LoLqcmckswtyd0ZJa3sCTxBGEhqoaRZF0w0DFMtzcaZEfPTXRKzyie+LvnjL8yyoVbj2ksEl2z22blFs2PzCp/8hmF5ucYVmxTTE9BqxFw4Lrm4EhLsglEsmJ+UTE3BoWOGlY7m/GKNy3fWePXzu3zurhqzLQiDACWnuGa34MffdBFfXuRv7p7m6TM1NnZiNkwlTDYVrbqiUZfUQ48wgNAHz7MOkxQghQNy7IWdakhTQZKSAR3i1BAlEMepJYVYE+X3sc5sx9yVySzIxEqSXizoJJJurImGEZNhh+99wxLvemWP194AnV6LwSgkigKG3eM1Vat/UIahJ4T/F1ie+c4E+O996FOkWv/QU/cf/Y3Dh09NzDQUg8SghKAjfEaixRcf8PjGUzXOrSzxv31Pn+mJhFFYo9Ov4akA3/PxPZ8gSol8jyCy0iSKbSrdMo6wTJSxUpJAnEKaWidBaxtwaW3yHs4M3BbgNnAV+J4FSC2ERk3TqidMtRLmpwbMTa9yz/6IP72tzoFjU+yc9Nm9CbZtCti2EfZe0qGfdLh/3wR15TM/rZhqwVRrxPRkQhB4CGEvrsEoYLkTs9o3tHsJF1cCLtnU4sVXXOS2B/ocODNBI4zxVYAQk+zeqviB1y7ygr0X+dPbWtz/5BRLPY8NEwlTjYRGTVKvKUJfEPoS37exilJk9qFFucH2sGpNAfQk1dnqllmLiSZJLbiTGKLElEdsXZlhYkmlHws6iaCbwHCYoJMBs/UOP/2OZf4/39ejEQa0u3VGUcgoChjFPlHsM+qenPAb3n+fnLs2OPLUJ/9499Vv/84D+PJKGyXVj/7eh25538mTp2cboSBOLasoAV4G8oGUrI48fuMvffYdWeEtL+/xyuu7bJyL6HbqDEYhgZ8QBj6jyCMMrL2XAzyOJVFil904yTztlMz6I2NuiTaU4LZJyoy5wVM2YRL4hlqgqdcSWrWE6YkRm+c6XGj3+d3P+HzxwRmWV5pcNi+4ZINg64aAbRsEu7YM8YJVPnanx9FTTfZslEy3JJPNFClHnFkwhJ5ECjBGEMUeOzZ0eICUTl+x0jFcWK6zZ1uN73llm7/6asDxCyG+FyOEjzZN4kTy/F0r7Pi+Dl98uM9HvzjDQ8ebbJ0WzDVTmrWUWiAIfUHg21jFU9jAWYqiJsNgLzJtsE5LagGfgzxJraSzYIcotbUuUZ48SgSDBLqJpJvAINKk/RHb5rq84oYV3vryPm+8UeOJBiurNUZxSBRZYEexR5RY7d9dPDfr1y99/97r3qGGg84f1ur/a2rK/5cAfHmlTRD4/+wLX7zzfY8//tSGwDNIKVBJBnBpUFLgS0FPSrqyRjvy+NjtNe54vMsNV3T4vtf2edOL2sxOhQyGIYNRQOj7RIk9UXmglCSKOJUkiSROBUkiSVNBqkWptbWgUCUmd2tsskhlyaLA14RBSj1MaNVHzE31GMQDvvqE4eO3T3L/k1NMBz7XbDVsnpFsnA3YMi/ZtjHi0q0rPH58wGe+Ps+k8pifFEw0BRONmHY/5QvfqNEKrDukDQxGHm+5ecTn77M1Me2e5uKKx7YNLd72kh737++y71BAM0xQUliQ6wbDyGr9H3h1mz2bL/KxOzrc+/QUJ1fqbJoQTNYMjUBT8zSBD54SKEmWILOfOy8/0plU07pc4ZIM6JYgIE4FcZoBOxUME0E/EfRSbMwTRTTrfd72umXe89oOz9+TsnHaZzBs0ukFRHHAKCq/syi2wa4lKMGpEwc2qPDe9+2+4mW63+t8qNH89oP82wrwldVV2p0eQvCDX/nqXf/187d+ZXZ1dZUwUKiCvW1qWQrwBAQSQgld6dP3Fac7IWfva3DfEz3+6tou73z1gNffPGRmKiAahYwSywZx4hFnQE9SRZJmCZu0BLg2GXPrsqZMZDakkraOw/M0gZ8SBjH1MKJVH5Ay4CsPS/78a1M8eWwSEYfsnDZsnjLMTSnmZwI2zUm2zMdcsqnDqYUuH/hsk2RUZ9s2wVTLY6IJE40Y4Ud0Bk2mWgYhBMZAnEhmQkWiE7pxQLefstJRnFmoc9WlLX7iH63y/r8IObHQxFNxdmF4JEmNYSTZNBvy/Ms6XHtpj6dOnOHjt9e57aEpzrbrNENFK4Cmbwg8g6/Ak/acC1GtrtOA0faiS7UgNZCkwvrnqSBKbZJokAoGKQwSQ5Ik6HjEbG3AG16zyrtf0+Vl18RM1n2iuMlKO2QUB8SJl7G2yh4rokSVK24iGfXbPPno7RuSVP7Xy/bemCwvnf2TIGjSbH375id+WwE+GAyYmmy+9Rv3Pfg7t37pqxO9Xod6zSNJTLFM5v62FPbEe6ktZgqUpp4K+iqgn3hcHNX4m/ua3Plknxd+uce/eEeXKy/psGFKMdHwiOKAKPFJkhLkaQ5wLdFGYoyVBKYIKLNUvzI2iPUSwiDBVxGdQcxCJ+a3Plnj2MVpHt43hdEBs3XBhjnD3KRgdkIxO+WzcVayaTZh63yf2akVvviI5qGnp7h2m2C6JWk1JBMNTbMeIfwRYejhKfv3jYE0lQxGHoNhTKIF3YGm2zMsd3zOL01w094eL75qlY99uUZ9WeHJ2ALSeCRpQBTbHs+5qRov2N3jBZf1eOAVZzmxIPnT26a4uNrg9FJIoCRNXxDkMkxakimIPJcqWCZPjCDREGvBKIVhApE2kCaQxEg1Ysv0gGt32O/jxitTJuoeSdKk3bXATjJg2xXWy2RjCe44ldm9XR16gy4PP3j7rDbe71y25/qV4XDwmW8nJr9tAD9w4BCbN21Sf/4XH79s376DE/1um1rokaYGJUCmlr3j1EoVJQ1eCl4q8JUhSAy1VNBQgoES9L2QQeqzFNW57aFJ7nl6QDMc8U/f2GbbbMLOLQNuurqLJ2yLmBBWrtispK2VNsZhbgxCGpSwnrkhAZnw1DHJg/s9Pnd/i6dOtoiSBi1PMV83zDQN0w1jffAJj5lJj9kpwaaZhC3zAzbPr3DnkyP+4HMb2DzlMT8BE03FRFPQaiTUwxH3HFQMIw+/aUFljCBKJDVPcf2eAfc9MWULnwYpqx2fxdWQC4vT/MSbLnB6cYn7Hp3Hl4CI0VAAaBRJegOP6VaNqYkmL97T5xXX9vm+Vy2w/5Tm8/fXuH9/nYNHmyTCYzRS9GOFKkof3MAzywkYTaINRmt8kTIZRNSIefENPXZtHrJtLua9rx9RDyTNuk8UNWh3g2wl9TLCUYXXbg+59ihsSkGSCjrLHR64/+6Js2cvXPbGN79DnTh+JN2xc/ffH4Dv37+PDRtmgwcffPCH0zT5jdWVZWo139ZD5BlKaVlcSsvYKsFKhNTgJeBLga8NYWqoKUEjFYw0DFOfQerTT2t0uyn/9WPTmCRm4/yQqy4ZMjuZ8M5XD7hkQ0Qci0xvS3CYm+I9aIQU3HJHncePNBGex4mzDc5caFCrKyZDwVTTMFHTTNSgVRdMNhQTLcV0y2N2CuamEjbODtm6oUNqVrnl6xMMek0u32aYaChaDUmrrmnVEnw/4ov31Rj1Jf4G2y2aS5RmXfGGFw646xFNbyTpDVI6fY/Vrsf5pQZX7mrxzpd1ePipBieWWyipgTjTyz5xqhjFNjHTG3q0ewGteoNmfcSV24a8aO+QUxfbHD+3iuenPHbU469ubyCULVxjfP6g0YAGY4ijlB0bE9796gFzEyl7dxg2zkKa+IyiFknis9LxSWJFnHpZHGQBnQPcxkQyq/VxDQDHCMgAnqQei4vLzG+Kf+OxRx/ub926448P7N8X7b3iyr8fAD9z5jRLiwt7Tp8587uPPvKQ9DxbE5GktnBJSUMiTQZuSLIUfKIFXmJ1Ypwa/NRqwNAz1FJDkgoibYhSwUhLRqkk0j6xhoXeBLc/rjGkfPp+O7IBo7Mjz+JlFpnIKxIlUimS2ENqD9+TtELYNW9o+ppGqGmE0AgFzbqkVbdyaLIlmZ6A2cmE+ekRW+a7pKzwW39d4+4nNrB7FqYbGXs3JK16QqMe0WwMqNcbhEqiZKbBsXIgjn2GA8FglNIdKdu1NNC2Za4ZcPrCJC+9asTPvOsCv/lXHidXQ4TQGBOjU0Oc+ESxZDiyZaytgUezFtCo12iEDWphTKse8fzLIwI/5sbLE977mj6eSrIkkLb19q4ozySd1hIhJKGvgIDhyGNpxbN1O2ke82RHIssYKCtcy8GdAztPLCWZLCmfkwEcksTwwAMPyDSVv9vr9b8+Go2e/HZg8/82wG/74mdo1r368eNH3n7w0CERBsq2UqU6Y+0S3ErZBIxUBpWCSq02TFLwUtv7mOQRfZpF9Xlkr0X5XAsiLUmMJNUesQ5JM9vLvRVZysyW9CT4Cmp1Q80z1FRK6EPoQS0w1ENBPZA06pJGzbMAbwqmWpqZiYTZqREbZnps2bDEH3xO89HbNrJ9SjHX0kw0Fa2GotmARj2lVY85t6Q5ci6kFtgLGvJKP8Ew8ti1SbNpbkhnGDAYmozFJatdj1a9RqsxxXtfc5Gj587zwc9sxZMeBk2qUxJtiBOPUaQYRLYoql+TNIYe9dCnHqa0uzbGCPzUJsz8FE/aRgkp06zuxziNJbaE04Jc0NZZlaW2cU2aSrSWJLqMdyxA8wA/f+zcJyJ7PQe3TTLFqSBN83wFxe8+8ujjYle7//ZLtu84csstnxy84x1vf24BrjwvWFxc+PmV5Qs/b9KRDANp37CUBcClNKTSkOqsljsVpJk8STR42YdM8+SDNtlzU7xWPi4r5ayXK4pAydXcQJbJM1lAq/EkWU0L+Erge8b6xp6gFkpqgaQeKuo1RasuaTUMk82UqVbCzMSIuek+l2xc4v6DIz52xxamayEbW5qJhrDgrkuaNU2zltBqjLj/ADy2v8Fl8ybTvWXafDBS3LjXcPklAx54cor+yLbn9QZeBnKfRq1OvTbF9758mccOXuS+fZvAKLROrfxLDElsinqSwcijMTTUa4paoAkDnzBICT2N56X4ns0OK6WzIja7wiIMglLPlcG5LSHWuSOlc/vVsWJzYGsL4vI5BbDzwxJYdu8c7nc96PTl2TPn/kOj3ghardavAtFzBvDRsC9Ho+Evf+GzH/s/VpbOBYHvWRBKkKkgFYK0AnALbJUlFVJl8HT2WNsGWp1SPE7zjJvJM28GnWXi8mSFMQYn815ZcfNUdZ7QUTLLWCqcoi2b/QsDRS1U1ENBoy5o1Q0TjZTJZsJUa8Ts5IAt8yvcd2DAL394IydPT3HpnGaqARN1RbOuaNagWUup12ICf0h7aIvFfGXjj/yW6lyLBkzUY/qJpp/VWfeHKd2+pF1XNLohtbDFzk0xv/LDbf7jRyTf2LcRg0IbTZpqkjQhSjRRrBhGikEoqY8UtUASBoYwUISexvet3+8pk9X5ZKtqJlOEMNUG3Sy1bzISMVktS5oBPtXlvQWozO5FCfDscepIkTz5Zi+AjLSycgqdGlJtOHHqTFCrN//tP/2h7/L7/f6/bzQaf+d0/t8Z4IN+hzSNf/XpJ+7+V6tLJ2v1mrSgTAVJllxIpb1ilRQkKgeyQUsL7jQDt84fa4HWpkgj68KjBaONlT5ZCah7MAbwvPRW5OAWeU25lURe1orme5IwsAOAaqEdyVAPDc2aptVImWjETLYiZiYGbJlf5b79ff7jH89x4OQMO2asw9KqS5oNadm7bmjUUhq1mDiN+LMvt5BK4UvrJBUMbvIl3OcHXrfClx6K6EYh/QzgvYGi21O0Q49aEBL6E+zdnvCff2SJX/pjwb1PbkQbSaptWj1ObKHZKNKMarbcNQwFNV8QBjazGXimyNh6SluZKEvbtgB4mfIEMhLB5hKs25IF8jmAs6kDukiukbE7xYqbr84lwI1z7+AivzeSAweP1b705Tv/9+9+42tEu935hcnJv1sS6O8M8IvnjmKMefHxIw/XBSMCX9krUVpL0LI3qIzRlRakUpAW6eEc3PnyZF/TRa1E2X5lgS5sHUUO6vzEj72vsnczqzORlMVUWR25BbjE96Wt3wgEtdDOPGmEKc26BfdEM2JqYsD8VJv79/f55Q/N8NSJObZNC2abjjSpeTRrtn6lXkuohxG+P+LM0jS+EiipM1uuDDLTVJIkis3ThiSJ6cS1rFNGMximdIeSel9RC3wCv4bvTXLFtoT//M8W+Hd/BPc9vYFUSwvw1BAnacbkmlGoqUWSYaAKCeb74HuZc6WkzQXIzN0SILL7dTBu5QpZUghRJId0lhzKs8Vp6ryuS8mZOsDWuvy+Cxw4IM/v4zjh6/c+WL/00p0vlv83dpz4OwH8qUe/CMSNJx/+YpBGq4S+KCxBmQE6VdkHSy3Qtc5fs0DX2pB6FB+yCuxchpgC6CaXI/njZ3hvUpRFVFJiSwQycCsps0aJXJ5AzYcw0NRrhnpo9XOjHjPRiJhqDpibbvPQoSG/9IfTPHFini1TivmmZrIuaNUkjZqiURfUa/bisKn+iPv2CXrDgJoiu8isBs+bEFItiBOPZk1x09Vd7n9qgn5sZcpglNIfKLqhIgwUgR9k+nmKK7drfu3HLvJzvw/37ttArCWx1lmzdNmDOQokYaAte/tlHb2n8oNMppQyLm82WQ/keVLI5ADPAJ8Wzgvrrrw609faIbE0NdnP1wN69rqBiwur/NnHPhO8421vanzsE5/vv+dd3/2/HuBLC8eZmtk29cSDn/qA0YOXK5kgfIVMrc6sXLHSam7tLFuWscurXCuxPms7gNYFsMumYDLtXXwZwmZKhczAnRUZqQLgoLKKQd+DwMd2AgVZgVWYUs/kRas+YrI1YLrV4dHDI37pD6d57PgGNk15zDc0k3Vo1gTNuqJRVzQK9k6phQmtxpA7HwtYbdeYni7T5DlgdKZN41SxYVbxmuf1uPNBbbtoIu2AXFLzJTXfw/cCPK+OlJortxve92MX+bnfN9x7YAOx9oizCkBb9mqZPIxlUV0YeBLPy4qwpEB5+bmheH/5RZhLFZFXpVEmhMYP7dxr7dwXK28V3G5lZ+o8L+OvUqLGSUqnM3j5/oPH/ujH/uk7f/LgoeOrey7f+b8W4IPuWUaDhZ/rrhx5TxItEAQBOtUWzPkblGNLlBaZzs6v8vKKz+VHWsgQCvauBJLjzJ0hPc/IFdpb5hV0pe7OKwY9ha3P8Ay+bxuLa4GmFqTUawmNWkyzNqLVGDIz2ebhgyN+/vfnePToRjZM+WxopEw2TAbujL1rknpo2b8WJjTCiESP6EYhQkn8nMELDS4y9sr84tinGQxtuUBUYzoH+TClH1gGDwNpa+K9fANawzU7De//yQv8m9/T3Lt/I7H2GKWCKNUZiwtqsSb0DYFve1e9LO7wlC0RVlJm5yfrys/vncKs4sJ0Y50xcBck5BCTC+4irjLlY/e1vFa/YPW0JMFTZ5d4ct+x99x1zyNHRlH87/6XMnhn5RTNyW07nrz/A9fGwzPUQkGqU1IpkKlEyTLQUNqUQYg2WUdJXtRjHICL4kSl2j1hwmGKMitp3DUzZ203qMyX26xDR2XBlOdlnUFZEVJePVjz00w3x9RrI6Yn+kw2u9y3L+EX/mCOR45uZH7SY76eMlkztDJw12vWTszBXQ9TakHCRDNi33HDHQ83CaTEVzoL4kqPIl++41SRaI9XPj/mskt7HDlZZ75B2ec4SukPMxb2FJ7nZ5WY1ru+egf82o8v8u9+X/P1p+YZxnWbDEsMjayGO/SxIPfy1UsXva1SpcUKp6RwAC4ckLNGr5QgN1WAFxWK5cq73spcsjtVBndkTpr/HooDR87xxa89eO2v/vsf33Hk2OkTu3dt+/YDvN89TRBO7rx4+u7/loyW34ru4fseMtVZAGkqPmkReBT2kkGnuRwRa5a03B82hac95pKscUsy5h4HtzBIlduCWc2LyljbMwSexvc1oa8Jg4RakFALIxq1ETOTfVa6fe56En7tzzfx+OE55jJwT9UNrbqgWROFV26dF23ZO7AAr4cjojRlOKhRU/Yik0JUKvnyRIoNND2r5b0Ro8gwiIUDcE0QpAS+h+9LO1VA+gXAEXDdLsGv/eQK//UvEu7dP8vZ9gTDpmQqNbQSQy2bOBD6JvP+cyfFFOydS5Uc4MX7zd60i/NCIWZfSr6qluCuSkpbzemAvQL03PotV/PUAX1OiP12n3MXV9762S/em7785uf970eOnT2+e9eWby/AB51jxIP6i3orT7590NlH4IfWi5VrfVFdWH7OaybT25kUsaAW2dKWJ2yqUsQFeH6KXVWYfwl23EPO3mU3fjkcyJbF+p7OxkykBbjDIAP3TI+FlQHv+7MGn/nGPIu9aeYnJfO1DNw1q7sbWWBZDyWN0GQMbrV3LYyAiK89GrASB8yGVOqxEdUVKk1t88NE6PHqG/rcdyCiG4dMFh3rmmBka9UDzwLcU7YhW0iboMHAFdslv/kvOnz+vgG/+qGNnF6cZjDlMRUIWommkUAY29HLgbIDjfw80JSiCILzezdQdy9MIYpekeL7gTEJ6QLbiZ+0A343jzEO8tQNUHVmSwqP+x4+xKZNG9/ebDX/rNMdHP+2Mngc9/C8xuVLZ2//l/2VR6gFoI3NpqnM/FdpltLNM185g2cZsBzQhdYuQJ1LEFPaUOOs7cqS7ETnzJKnm3MXQOUAV8aW43p5b6ft7wz8lMBPqAUxYRDTqg/wvD53PpbyR1+Y4HN3byDSE2yYEMzVrCyxFmDuk6vsEBlzu+wd43kj7nl6in7ksbmRv59xBs9XN1tKWvMVL75yQKItwAexsF3reef6SNvg0Mtmw2T2Xj7cziCYmxK851U9WuFZPvSFAXc9Pcv5uE6/JplIDE3PWJB7WRyiTBaXmAzk+TkUZe24BEnJ4uM7ChZSJR9Rwbg2d7uHytrznNHTdYLT1CHA1JSA18Ljq3c/xQuet+dfvusfvfSRdrd/aPJbGAn3TQEe9Q6zevZv8IKpLaPO/lcIvUgQhFm6WJNqidICLW2iR5mSubV2JUnJ3hU5kmttsmRCBdiO9eDaV8VwIGdeYZZMkTIf7aazmu8M3MrWYoR+TBDE1PyIRmNIEPT589s8fv1PNnBkYQY/rLGpJZgJUyZCQzOEZtZhXw9ttrOWJYRs/UqarQRWnix2UnpRQKAUgSybO3A+Sn5h57UbUeJT94dsmhqw2m8xiEU2bs3GCr6fZjafyuxOlY3acANXW/n41pf1uPGqBX7tT4d89IvzLCdN+qFP05dMeLYGJ/QgUBTNEF6e9Cnm0IgiC5wngFxSqYoVF+hUVmBtqlKz1OZjxxqzwcleZ6+lRnHyQoevfGP/KzrDdMvCUvvQI/tOccOV2//vAdyYlOlNr945bD/2B0nvYcLAkOoUrTVKS1Kjs2IcjadlJZ1rTFWiGF3WN+TBY3ESEI4kEWPSJAe3Kdkky75JF+DSoKQt8iqZO81AnhB4VpKEwYjQH3D8QsIHP9/kU1+f5eiFaSYaPjM1mA5TWqHJUu85uGUGblkkhWqZ9g4De+FMNEd88h6PQyfq1LIJXEW7GCXKizEOxurwOPG4Yge8+cYuf3TrLL2Gx0Q2eySMsrhBaTxPZmPrcEDuO1+WXRUumZP8wj/pc+2u0/z+52Y4en6S5aRO3/doKkEjA3ogjb1wMpepWP3y85rbh1h9XmY6zVqfPCemvHSi8M3XWorGBbGpmgyFPCmA7XQb4XHrPQe46car/uA9b33pGy8ud76pVHlWgCdxgvIUvcV7tg3aj+1GL+H7AUrHNpBMpWXsQobIsjjHfVwp3qEAv3HZ24jKqGSTfWHkjJ2DXJTAtvdlQZeSOnNNcvZO8b3Edu54CWE4IvBGdNOI3/1EwIc+v4kzS1NoVWdmUjETGCYDTSNj7kaRvpdZnUomTTLvvAB3YLOXozji0OmQXhQyHWYuTp50yl2JPAtrnJqU2GOi6bFrW4QKh3SjFoNAUI8NoxzgXpolapT1sWVeArxe8KqYn+zzE2/t8/ZXnudDn+/wwVtmWRw0GXg1ap6i4QnqyhAmxrJ51ifrybK8Ic9yrmFy1pEr4w4LVGOpXGo4ROayeBGnmdxFsaBOTVZBagQxkuULXb523/7dU63atre/7objUZwQ+M8M42dn8PQEhol5z+cTcedu3/cFxiRoLS17S1nUD+c9kCaXIy6L58U6ZgzYGeBLxhbPkKE0jh1oCmBX5InMquRUagHupXgqJfBjakFE4Ee0hxH3PC7589smuOXrswzTFkEQMBsIpgJNMzA0QkMjKMFdCyVhKAkzaWITQ5kzkQE88G3m89g5w10PNYhin7Bp1gSY+a1MZ9tzF8UK3/d4zY1dPvaVHgdONxnU7GiGkW8IEvBjjR9plLJ2rJURshzuQ3k+Uy1JtKQRemycGvBvvrfPlZeM+OhtLR7cN8nCoMlQBfi+R80T1CWE+YCl3F6VxuYTBA7IqzUr48VZLqPnBDXuiOXPS+0tHDanqDdKcgIwEGmIjSA2oD3FLV95zH/nG274xLmLy89bXOkt/J0ZXHqz0oweepHs3zLZqC2T6tAycwZmT6sikFTZAEudAb4C7jFZUhw5sDOJ4jJ4pfAnmxiOMFkix456y8s9re42eCq1AFdpIUc8L6bdi7n7ScGHb53gtocnWW63kPUarbpiyjdMBJqGb2gEhnpAxtqWueuhpBYoaoGgFpBV6OkM3JrQt/pbeSMOnoYz7ZpNrGT6tpo4KetnbB+kBXmiJVHksXFCcPn2AU+cTOjHPqNsxncQYcGn8sm6eaIGxus08osntyHj1NaHv/s1A17/whW++kiXj3xxggf3TbDUbdCWAb3AI1CCQApCaRvBPWl3qVOivEiVyMp+12HwNfUr40zuEJrGCTyNIKX0vnPmjh1QF7X+WUNLt93jNz/0N5M/8wOvf9GrX3z1rTzL8KBnBbgwR0Kh0t9LowPNwIsybSQz+WHrkrUWeMZt9LUAd8FdeaxzHeoA3DkhFV6oSBNTKdC3skRnmlujZGoH4uduhoxZ6Cbc+ZDHF+5u8Zm7JrnYaSJqNfyWz4QHk77t5Kn7ZLID6oHIDpmVnGa6OxCEOXvnAPcSgiChFkQYE/O1h0NOnKszNyPwpc50rCgbfR22M46FmqaKwchnx0bBa27o86lvRPRin0EsqPm2XzXIJkuVq5Qq/Go7R53yvBph+1LzRgVt/fZ6OOLdrxrwXTcu8emvd/n83Q3ufLzFxXaDgQgYBB6er/CEHenhS4kvTCa1DArhSMOqfbgOmVdcsJK5RRGApmOMbY/yuS6ujKxbS6dgErSOeOLpo83hSP/ew/tOXwkM/tYAX2lrVvr97086H5yaqy/g+T5ppEm0JE29rLG3BLvKJYqRFVmSP89fq3wJYHsn16kJrASUDrDtgE4rSUQGcM9LCbyYWi1mOEo5cAaOn1V8/MuT3PrgBBdXmuDX8CZ8GkrS8g0tT1P3DXUfar4Fd823Mwltmal0DpH93GQg1wXIA9+2px05q3niWAi+ny3zxknRiwoK3CDM1ksLktSOc75m14irtvXYf6bBoCZoJIIwNowUmbWnM/bO3ZTcgiy1SuGzF0k3lU0f8BlGPvX6iB96w4i33LTKlx7q8ZdfaXD8bI39ZxpEqyFJ6DH0PKSyU30V4GX3OZMX0oUy+F9zK9yUEtSaEtQaCp1tf2YbnwvRbtIsC5gAaT7FCeKU9ukBTzz9KGcvtJ6No58Z4IsryyKKop/5wJ8cmtq9ucWL9ybcuDcm8EGqGB1LokihtbJsnrNGAWgX2LLU3YgM1Dj3Y/DOI/VC89mkhpUkOtvlISUM7STVJE05vwRfvt3jyOk6d9xf58xKnSNnmxCGqIZHzVM0PUPT09ZF8O3g/Jpvx7VZEOeHzA6VAZxMc2fg9lNC37K3vbAiji3AvuMNfFm1BwuJQlkPXjgKuZOis77GxOeqHQMu39DnyaMJ/cSnFQtGHgSJnQmoHIBLKRBSVpgcxu03UQSzeR9lnPqM/ICJesQPvG7Ey67tcGalw9ceCDh6KuRLDzc4u1QjHfho6REHCiGlXSmyrnxJlvGEQrasB/JKoImbpc7dllyjaufIGJsS0MQa4aVIlfLCa0a8eE/Eq6+5Y+7Vr/25f/mv/+nB9wtvz7rh2zMC/H2//wmSJOGWv1kAM8eurQnX7Ip4xQuGXLkrZuuM5rKdI5SRpLGsLIlVoOdSJAO2w+I5W1ffmXEi9pK1CymiUvwwJU4NR08Jnjiq+PL9DZ48FvD0sTqdUcgoCsEPUBM+oRI0FDQ8Td3xgUMvr9PIy2ZtXXiYyZIgUASBzC4AU2pvP7WZRd/q/FoQY3TEhWXJyIR4niSQBs+x2cYIvAB5WgTotr8xSnwEHvMzEVIN6cU+fU9YpyMuC8Y8pSsZSCmcKDYfdoTAaFkyuTMYyU9VMX6iPwrYNB1xycaY5186YhAN+KfH2jx5PODL99V44liNoydrxImCUGGkAmENhiIbVCQp1tEqFXGe+8D5vXbuxw6tIdZ4pOzeFbN1JuGKXRGvfMGIay6N2bk5peb1m7L/2fekwnv/34rB3/fBz3FhcVV9/vYHxCBSxLrOY4c1Txyu86X7m0z6CZdsS7jmiojX3Tji1ddHYGxbVL1JprMlaEGSgT8PJCsM7l7yxgKabH6J7xkQGiENcWToDy2jHz8t+YvbQvqx4tGnaxw+FbLYCxilAXgBKB81oQikoK6goQw1hR1nprLCI2VZO/CFTXq44PYlQSZLwgDCgMw1sSlz39MEfpJlRGPqtYiLKylfvrdFuxsyPSnwpC5KBnIcrMts2gkItWQ0UszNKl5/05AvPTjgZLvJwJdWpnjgJwY/zj3rzGOXqbULcWedyOJvaONVSibSVBKkitRTJL4d+xDHvrVS/ZhmEPOyaxJefOWIt71iyMFTksf2+QwixUe/3ODYeR+EpD/wSCOVl29ivBzgY5aRm76tABwwGpEahDaYDNj1Zorva4TRvPqGEa+7ccjVe2N2bEuY9GFuwiCMlcnagB48IXTwcjVc+IukNv993zqDb5yd+t1+V18XqwB8+wa1Tlno+SxozbFlzb1Paj7x5YT5mQSjDTfsiXj3a4e2KyOF+UnN9ddENGvZimNEkQNb+52LYjhPuy947HGPpY6kXpPcv8/ns1+vMYwVw1hx7nyAFh6x8dHCB89DhB6elARKUJOGWgbsUBlCZWwNuJd5vl7J3EHel1mAW2U9mqJg78DXBEFeoJUW7B0EMUpF3P6I4lPfaKECz9ptFf39zAyee+FpmjseiuHQ5y03D/jMPR0++rVJekmNZqbD/VyHx3lSxhTdQkLIAmD2T0lH6zsA19loB88yue8pEs/DS1ILdJWilB2kP11LuHlvwk17Y4wY8c5X9RnGdpzb33w95IF9AfVQsNhRPPZkQKcvM5UkeEZRXuw8YVsDr78+Zm4qtU0Pqebdrx1y/eUxRsP8tGFmWuPZogx0KomGklSrorxDJNF1fm32d4Gf+JYY/OJyl/np5sQv/fZn9kYmUKhGVtSjs/FU9krTRjPSmgttzYVVOzTm4MkGn73d/tykhslpzYuui2jVbR3wuulJ91LPXIfVnuLBJwI6bYX0pJ2JYjzLTMLDzgX2QHpIKfGlsGCWhlBqAmmBECgIVDmjz4JclA0Pnm0EyBuPXXBbhs/Kav2cwVPnSAi9GGMiziwGRKMa4aQkyNLeKqvKq2QxBSV5OdZp0Z2uFVHsM91SbJ+LCMSQQRIySAR1zw7BzGtI8oSWkm55qyz+lv0buauly+yp1lnzSSmNkiTN8gYqm8ueECcpKra5BE+lSJmwbU5nK4bmykuGRGaA9DTttuDBJzxW+xJVKJZqUF35prNirGZN8+LrYianNSaxK3td2XNnZa5Cxz6Rse/TIMuYLqtYTSNPhbV479S2H5hIou/ueMHUswP8yKkFTp1fef83njj2qoXOAOn7GduM6aXxwABNYgztfAlSms6q4dztTecjrgdwV79lX44Q6HzLBbKaU6HKIEfKzMrKQZ2lnSXZxq25b+zce1knvSLbeo8C3LatSxFk4A48ihJTy+AZi3uaIMuO+n5MGMacWtT86Zea4AX4UpQBZiFPxBoGd/3hPEFmwWYH60Sxz3tfP+DTdw54+kKLXurTSOymtLYK0JSdOCrPCbjBXl66mEsh6RR45YcuamE8T+Gndl6KnwFdyTJpZuvGs8dCZ4ODUjxhECZlrqH57pdqEGkmMwGR75+xznde1BgJ0Io09sjnsSSxJCa3Oe09iMLEKIwLncd8A2R//6uSwdH3G5P81Ddl8N/48JeRUgT7jpwnsIGzzSoVwYvK6g2cdTYHOzjgN6AMqe+Ae1185+yWA7wavNjd12wgpQT4wqaVQ2GrBX1pn3uSrKYi6x7PC4k8nDkoZDuzlV31JcBlIVvCwBQtbUGgncE5CX7G3oEXI2XEifOChU4N4XmEkoo8ke7Hcr5uVzpUgJc5HVHiMzsxYsemAfvPjxikHsMUwlTgpwY/yXR4QuEslSl0VelUyGM7O2k3r7MWjjTSeKkmVRLl5duXq6xYzW4ro2R5CKlRGchF/rexU7KENIXrlQM9d8DWA3iZ3CvjstyUoJI/kVnQbH9WtaA1yfAk/YW/DNYD2BqAHzh0GiEgGQ5oKBv45d5lknuW2R8pLB9y9ZED36WqZ5MlZF05TmG9EEjKFLGdSgW+MPgiA20mAfLHxWsZ2ZeloBQNtoESFuwVcEt7H+RAz4PPDNx594+nC4nie1afBkFMQszn76lzYaGOP6kI3BoO10FhTJG6qWun+jJP+gxHdoLtm17S457Hh3SSGn3Po55ooiydrmRZEJUXnNmNvPK/lAeaedVmbh1mM1UMpMr+TU8LEiXwUpntYmdreZIM6GUyTRcJNim1k3jLHksX3JnNW+wV8wzfv1NoR2FCUHHfqnVL469JdBShV0/yTQH+R39+G5Ot2ks/csvXb1y9mOJ7TtkjuqgVyM37FCqp1+KP8803XikESZ4sEKDye2HwoLDaVJYytvNNSo2rcmDnAz0zeeICu5iDorD9iOsBPA84c93t5bLEZHq7Wkse+DGBH3G+rXn4cB28wI6AlqZIzxcMTpXFc+YqfWC3VFQWnngc+9xw2YjZqQHtlQb9RNFQ4Cf2s6jUDlBSsQtwLMiLPyTHKjVF1jeZlVsoTaoFvhakSpIqTaoESQZyt3gtL4eQOcgdUOclEwKdgZyspDnPRJdJu0oxRqV+xWVz5z3zbADPiCJRpGL6xsnNr3vp+eNvuXvTzjevD/DRKGYV892Y9HqTRNR8r+jOKKrA8i0wMBX21kVgY/8tvc71JDL7xDWT8qs8z4qV4Ci3Oxkv4fTy2oisBjwv9bTNxXmnipUlquheKYGdN99a9s40t0eht3NL0DJ2CW6/qE6MEcR87ush9zzZQoYegRR2/nZRQejOZ3HrqMsvtajdcSowU61ItWIw9Lnp6gFvflmXD36uRZSG9FJJLTWMErKVy63605mc02MX1DMxOWhPZr2QogB3qiRKacvoUmajJbRTiuzWAJkS5JVsc87k+SLtyFSxlszdkXtlDUsuU8bLOqrFegZBmiQI31yvk953Gx3fvS6DHzh8mpmp5uv/+ONf/Sdnzy1SC2xEXNb1VgGdszgZe+dwdhWJoXK9Zh/WYfAM3DkApAMKSVnz4I42yJnbbkGSPydjcIo2rAqLZ90wvqqC245TGGPurGczyNrbfC9vOEicIyYi5i+/NkFqQlSRvXQDzLKvMXc2KhqcsXY9Le10qDQPNj0EPu9+dZ8/+/yIVR0zSGsMUoGfULC4lAaZiKLozNqF4+unLNnOCAfkgtTLRjeoDOSe7dLyUpmN2bMVjDZ7XJ03qbIJtW6dUF6rUjSlFEAvpcpagFfX9grI85875R2V+0yPD/sLJHHnn2y85E13DLqnvlRvba8CPIpjBqPosl6vt7vX7VALg8oy6v7RvHgmL253l5pvorjth86Z3JEnBdDHyjMLLT6mOXPQu7M9lBKlFs8q7irDbjJge0qUTkphB9qOe9uYbDLmLgNMz2Hv0I94+LDk0NkaRvkoKQmkxhuv03AE+LiLkh9Fp5MWjl9tQR4nPru3xFx1aY9vHKwTq4BBIqhJ8FODl4hMvmVdOEmmw5FWLlT+pHBYXDjSqGzuzWdCekoXMyRVJv1KcOe1QCYrE8iZnGL1EA64EfnErPXZe72byZtXKYHsrkK4kiszPtL+gNFwsDtJRpelafylNQy+uLjCcDAkHg2o+Zb5Kg3AxZVWDt8ZnzBlnvXtl7lLt9xSjAPdAbcqar5L262ULMJ2z4sS3DbIFEW3uFeAW1YA7g7/sd32FMAuspUFc6cEnk3s2K6gGEPMX32twdJSHRF61nd3L8LxGpSSnCoWYd5869ZxF960VsSxx9yM5F2v6fLw4QlGaY2+CqinVovn5axKkoE7Xyt05om70ZCsEJS12oxzgblzbCRK5yuSKR7LYlv1TIPLfL+jXJrIsjlinMHHmlbKdN/aQrtxFeDWLLnvv8CgEcSxx2AQMegtkyRlcWEB8A98+NMoKVlcWiUMZNFBXWXvMQlSCRLgm/F37v+X8mTs3gW0y+KV8WIlY0uXwZVwWDyXKxLlVQEeeNkAID/fOjDLcHoGv0jF6+xxWjk8ZTt3nj4Bn7itxUgGKKmy7GX1QhzPYK5Zlp1zWNXhmRZPFUnqEaYe73rdkA/f2ufxo3Vi5dOXkiDVmXskkKlxzpOx7WXCXU919req+xa5TJ5q8AoL0Y62VllJgEpNOayzmMsiigs6GdPjZR2R2yBRzj4EV5c/CyU6IC7ZfPxn+WfxWb54kH7ngs3ZuAA/eOQMl1+6pfH/+aXf3XX2/KJlR1kdS7ymV3INe68DZve5GH+8Vns/s0QRBXDGxyFLh7HzIDOf2uR5+SavmfZWY+DO0/d+3pis7cyQokUs7+lMsiNG+RGHznh0owCUl8kTM1YeO37hVk9IdaDRmBeedeOUiR+Ppi/Yu3XI44ciUh0y0AG11NZse5kGV8Ju5GoTSzlbavIgs2TyMmGSd7h7xWBT+1o+MNXTZB1EBqnLCQH5dK007+4vDIAyuCwCz7HvO0fLmoaJistUBVbVZXEA7vzMYHe/qDend13z4p9pDHs/2q81t1uAnzh1jqXl1ddt3jT3c/c+8ASBJysdKKXGNmsZXLg/r4K7Aurs/9yfCWw+xwVCCeyyj1E5rKgqQzVzkFPWSCsH1Kq6i7GvyLxwC24L4HIokO/KE5e9VdbXGUQsdzX/469bLA1qiNC38kSayqpSDs55ds1ZmSaQz4kpGNw6KkniMdHw+Onv6fLVhydYGgVE0mMgJUHWQ1mOfMgY3K2nF7ooo7UgsMmRPO1dOisiY3BTBOk52JUUGYNbSZQWLgqFTCl1eNlOWMqUPPAsrcLKuRlb5dYHuEu0DoMX/yeBIbXG3M+tLj59dxIPPg0Zgz/2+NPUwoBTJ07iiYTAC9bIDzP2l79Z/iZ/x+4XXB3sOMbalGltOydvXKJUB9MUwJYCqcrxY8oBtSclXiZJvALguebWRVDpe7oAt+/l9RdV9vZVTBBEfPxrPk8dqYP0kVIS5qWxjrVZ7BGffchnrCakZPNipwpHpiRaZps8+Vyzu89bX9bhw7fW0F7IQAaEUhRJHyUFsRPQjTO5cJl8zIUopIoCZeyqoI2w4M6nhGXDVMuxEuUsmnIyre3jFLIqTwpnpYKB8vm3cluLv6qrjoHhKOX8uTOM4pA0sRtDeAATTZ9aLaDV8LIAUzgBpFkj+oXJsq3PBPL8QzhuiX05L8w3awbKVDzjIrAUJZsXDPnNAC5LgCunhtrL6lJ8Ciniq9It8Z3hQKXmtuzte3Zq1Upb8ze3t1hsh1DL3BPhBGPPIFEQosrkbpA+bts5dRY6zd0Uj+kJxT96VZ/P3DNkqRcSKY9BKjN7UmTujSibseV4YkVndR32JV2wedkb6eXOisoeZ2OvdTYOOz/vLshFtnNeISUzeWJXZ1ePizG5IqoAFwZhnhntFm858FxpQpEZjiJFFIckaZ0ktZ/Ve/Lpg8zPTe+8/a4Hfubk6XMEgYeUTpnJWEPCN828Z28mJzDD2JftAL16iPUlSp44qQC7Ovvb7XCxw92pgjvf2SBnbuUw9xoGz8dNlCMnPGUzl8eOCw6eqKEJEdIrmnPL6kE3fhCOq1F++KojlTO5cOSJKJyMot0s9cB4XLEjYvfmIUv765g0sCyeWpniOS5OyZ5uoVcmuPMyWrDPiyKmbCWR5dxIN7ZR2l40Otu5o0hoyZKMCnBrkc1SyTW5GJMqYgwPpniynkwpXxMFwFlzHgVG+HTaF9i09cqf2b33pkcvnD183EuSlP5gtClN9esXFpao1cNKCUmxNIgxcI8L7vE3NKa3x++LWSFUQV6VJ8JxJoQTbJaAtgxONgrY9cHdI9vSWrngdkCe7VfvZ6WhOXur7LnnxSgV8/lvtDi0WIeglCe+Y11WLljWjotYw0oFe7oBpzOGw9HiUeRx6VzEm27q88DTDdA+SWq1uJ9m2d20KpVK5nSDpQzkxjgSxZErMnsss1VF5ofItqUxxbjlVNkND2RmSuTEVCZ83McZSzvtbUXbiwvub+I6uU9ceWKMAKHo95YwpK9P09EmY9LjXv4LktJqqzC1eWYl8owUDhXmekZ7MD8JVLV2KVNEUQY6DuyCzZVwmnAdcGfzCcttO1gLbK8cEFSMePN0BvLEyhMVU29EfOOA4tO3NxkMA2h4eFLgi6o0GX//7mdeF+AFyB2ZYsYSPhnI48RjsuXxtlcOufWePvcfCDBNn0EaEgiKC00Vf7/Uwc5aWoDczVnY4DO7wJRl81RaPa4d1s6Dep0Fl1ILR38LJ9CtxlCl7i7jAvuaKIDugvsZeHMNDisAzzLFaSqzgN1Kay9NYpIkxhg7OUlJ13tc/x8UY6+t92YqbL0G4GKNPJHrPC6kiChBLZWze4MSWW1KCe4S5HnZrMHzyhHKXrYJk6eqQPcLtraHUjbADIKIOEq59d4GT59sgO8jpMpAlc0NcYJLIatf6rhrVDJOnnLOSiCcTKYupoXJwhNPU48o8rjykoQ3vKTHY8frjJKAVPoMtCJIGXsvuRfOGIPbezP2XrIqaLTRaCVQeZZQCowCaUo9XqyoEqR2ZhnqctWQ4wAfj0sYA/7fItO5Li4z6RKnwm7KlSTESYL3qc98Ac9TrKx2CDP9Xf5Hf4u/so5jAqLyxa7R3KwH6pyx3QCz3IGglCaOVVgwdg7wcnJqIVEy5raMbQqm9or78rGfBZeeigmDiCdPCL50T4P+IICmjxR55SCOPbhOFtP5nC415LUoFl2C6iD5sYSPU4AVxT6tVsQbbh7xmTuHPHY0BC9gqCVBpsWVthvsutJApBTygHTM23Uy1jZ7nUkXadk8X1XyIF8bC3apy0Sb0K6bkn3numT28RzHGoCPgX6cJJ8V3GPOnjEeB/Y9yvFjR9A6wTt3YQEhBHGcoJQc+0JKJ2W9a2v8lXV97+KNi8oVvC6LSwfsruYuQG71tpvNVCqrMMwqCm07V/bYc+eDj4E7O/x8Cm1W4O+pxB5ejO/HJCblc3fXuevJOtQ8kLah2XdKeCulse7hPnmGL6c6D104TeUim6wqK0AfDX1ecU2fN720z1MnaiSJjxGKgfDwU4r3JNKSxcu3sD6Tu0PsVe6gScvm9rlAalHo8MLvzxk9X20zBi+Gdo6BuxJwVkBeuirrAfvZcD4ejGojGQ27JMkQYwxePufCDejWXjnf/FISzv+NM3b52D6RLsCdti53Z4EKsCtSxU3TO4caA7dyDq/cBDUHtO+AOndOrGNi75WKCfyYR49LPvG1FhCA9BFCFV1EKttI1c26uo5Qft5EcU4cohir8XHHSxdHalv37BRaVaTvjfF496sHfPneIQ8esZMEYq3opyIr+MpAl+bAcepAKtCwqwdqrCwj+6nKQK9ltp9PHhTn2ltmbC7sffEdamdgp3Qu/koCrJQk5fl69kDzm+XLXQtSSonRGk/rMm2qpNW438pNrPM3ysDSiYwrGtyZsjqmu0upIrJkQWk95QAv5uS5IM9a08rNpuzODuUA/BLcFdZ27vPG2lyqKJXg+wlxmnDH/XWeOFwH3wdpg8tAGGdyrBtYiTWBlVh7xhybLge6cFwNqlo8a2XTKnNUUo9R5HP17iGveJFl8UFqWXwkAoYavFSUgV+a24UWUKVEsW/Adctc61JJMMogjUAZbPbTCIQRGAHSiFKqOEFlyd7Z96rdC9+Z675OHsSepbVaXKwHtmcApTCCfEiUAbzJpoeQgigy9LVESEFRBvtMwK6wU4HeNdViRS105UsXpX015phU94gZqz8RFHvvFLsX5823lYaHcusSpcbA7QzFL9wTlaI8B+CZRAm8mEPnBB+5tcUo9qHhZ/KEojVNubsEFxduGX9U9Mo6ZOQC3ZUp7uYA2qynxT2aoeQH39Dnc3c1OXDGXnypVvRTZasM0yz5Y791RCpKt8JZSYpkngNwaUotLjONLrXBSPsdGSkswLUTK+VMrt1Yap2VzQG069G7JFgB+N8y8NQaTF8xipSVXH/0B7+1sVH3/89TJ09fYUxO76LCppVDrveaWxTlHLnbIUVWQ1I9VL70SZGVYYpsHp7jiowd+cgE1+Mu7r1Sd1sHpQpud6+espgq2/3Bi4tmBt+LSGXEhz/b4M++NAVhCKqGUh4NZagrk42joGhw9p3WuDKT6iaiJOVkWCoBahlLlLZjftEKSdb4W/ZCKmkQRrN9U8SZRclDTwQkwk4e0EIhhC2lXS/uqQJGFKu+cJ8bR9RkYC8vhrImyZVYhdRyqv7WPdz/xnGTiinEVO+L5hrtSKhK/qB8XmxaNTJcsuu6TXuuvukr3hNPH59aWFx942A4QklVpNifkcHXCwCK5cXRUq4F5DwuEwCuezJWg+KydqUO3FS0tyzAUEoS5WhvVez04GxEpcyYJMkrBXP2jvG9mINnJR/7aiObv2LZu+jcz/++oDJeWDqf2w00hfvEAOuBQ7u1IeVcQRt4ltN7dapIVabFU4/vfU2fT93RYN9pH2SEEZJh6uOR1Yvk5zrNvtE0T/zkUHWkk7HPDXY2Vv7eZAYkaUAaK1ty3S2N/RtGZ/64zgLUyupcZfN1pYnzmouztRflWvy5cYMxoNMYoXtvHHTOTHlxEpEkCUZrhFJrDPcquNcT9e7jcYCLYtmp2GauLHF1rKw+dgFuu0hy/e08zoGcV7vlGtwBt53IqrN7awcqpVG5360SlExQmTxJVcJn726y71CpvaWQ1vsuOmhY9wsUjD93pVz5RZSPqw3IFU/cmUjlaWFrU2SZwo9ijysvG/GWl/Y48rGQKFUgPFLhMRACL83su5x8yB2VKiyKEDijR2MEqqj7sNLEGJNp8bwkxJQpfgFaWuDrXKY4PrgLdhfIa8DukuUayVtF9bPLFkMUJQyHEV6SGNLELjlSrv0y8i+k6gpU38h6V1rVDhr/gGsTAes3N1RZO3+es3YO9py5C6Arl8lL3a3yIDLf4kRqPFkOzVcqxfdjjp5T/M9PTjCUPvkErbJrPltB3BpoV09W7IBn+Qqc5TUfQ5a3sJUpe1eDi0p9Sqo9ktQnTBN+6u09/vqOBkfOeqBi0B6x8BkIgUpLR0O6weYYyHNv3gCeKXsBDAJpbHreYDLWzj1xXWFzk/0dLQXClKvHWjMhA74DVhfsz1bmMY6/MdwXfy8IoBYIPOmku58J4C5Dr7miXJYS7pVYTeQUj7Mqt/UY0AW2GGPtPJFSBbcuJYqsMrhX8bczMFf8bueQlsV9L6ITaT74mQnOXAxBeZk1KDN5Yiq+d/HY/ewVlqomutbnGleT5o0Hbo9mnsKXxVE0Q0hFmnhsnR/xY2/t8msfCWjHNiAwRjLSytqGaf4+DKSCUmGXIB/Pd6jsKszmN5X3snR8pDQlgxvnu8ssQ1Mw+DMEnA54dY4rF0PjwB4H+Ri6cyVoTDbUSAu8RqgYhIrAVyhVBh1rlwEnAVRZTpzKMFdHOaDOW5XsvotVIIwzdw7skrXLKa0Fe2cF9yWgHSb3dMboupAmVo5oR6rkjJ0U956K8cKYWz4X8gd/NcFI+1aeCFXIk6KpeMwSq+juQpKNscAzsHiOq9IqdEGfp+wNWutyc68i+WO3Aq95CT/xzh4HTwR86LNWi4MiFZKhtgGnTCkYvCzAyr+s0jVz7UoL6lKyGJOxuSgLxSzp2FJXU0n8WBlT1KVneNAuyVUwI6r4wQH6OovimljQeZ7E0B9BMASviPg928u4pkzRQXXl3xxbTsZ977VW0NrahLWFOWZMohgnyMy26Ha3DFSu66AdqZKD2WFyWVYHFrq7uLezBpdX4K+/2mBllIPbAtyXVnt7oipPKqtObpet94U4J87V2jnIq86AK08ot17UY3XiUqK0QmuPJPWYDFLe/to+n7q7wVJXgYxBK2KsHh+vLhwnr2dicpsHKpNCeX1KHmwamcvbDNCZT64NY4xtv0+EsAxPJmWgvODWwVJFroxjb10ihiiBJLEbQng5oGWW/Vnjn7hflqu3x660AsAu6OVasK8JyNy2pwIwzogIaSrau7TS1gaV+XCaEtxpJcDMg8x8nxvPYW+/kfC522vc/0Qd7Whv29SQy5NqvUnRmgXVVUxUv5xn0ow5sEoLrZQo480Qxg06jbQbD2S+eJL6eDrhxddEvPmFff708wGoCITECMFIeygh7BYkeaApSlCPy5XcGjTGrS412ZycDOjSKRSTdsZLhbmNveCNgwGdk1jO1ib/WWlpPiNzi7W4W4+984sy/w68nEHyxEolkHyWq0Ws+eNrZco4sIuLQJpSqowxthBj7C2qwC5dlOy5MnjZiDEpM8dEmkxXO5Ikd0ykI1GkdU9CP+bISclHPtfifDew+11LO+hdCcodG8bihTW62/Wd12Hv8Vsl0UPVF65stZhvwVjpurf759h7u/3JxmbKD725x91PhBy5IEHEgEIjGQrpbCJlQZWDurAx3QvO5fMim5l9Dy6bi2xOt6CoIXdjqTy3Yme/i0xvZ4/z3kxRPsZ97LI5UIyeWE9VOHg0xhRE4+WRfB7ArXdFrGHwZwC3ewW6gEbgLJFV3Z0vXcWJL+qrHeZWOeDHQF7MyB5/nBbaO2dxLx8HrBKUTPEyWzAIYkap5gMfn+Cuh+u2t016VntLabt2RDl/pXiv+criXszrMLl7/tzTujaDWboW5R7vbvmsW0Zr28107qikmkR6qMTjFc+P+PF3d/jlDwSMEmkzUFqSZK6K1MJ5bxbklREOxrak4bw/+1w4sUHWXW/ASJMFmKK4AIqgs7joTaVeRWTs7QaU41J2PTIdd+nG1Ub+ezrXf8JunmUzb9lc+WcE9TpXSmVJcd9ohc3NmuL3kgXdwT7rsLez/7xcT55IU3R7222ztSNRnLG/ue7OZlwXwaVM8IOErz3o86m7GowiH+peob0L9i4CWyrHet5+5fyQB5zr03clQYFwpEFZfGVUXmVYrRVPtURqK1VyoCeJR72R8PZXDLjtrgFfflBZ2xAJQhILjwGOlMy9cQcsdreZqia3h1OXIrP3KUFlny9/bjJpkgM9/36NEOhi+8Es8JQlxlzcGOc1MGMsbt/QWievvCWJsTtGaIPXrEFcs9voCVmtrx1n82+FuUvgm3UAvZbFhau3XW9ZOo5Frn+L/dTt80J7F5NQS2B7agzoqgS3l4E78GNWe4bP3d3gwLmalSbClsSKXHsLnAlSZg24i89WfH7hAP1Z9EkObmNZM7fkxlPYBbjXDAcqa1SkVEidIrVHPPLYsynmzS/rcf++gHaUpV+11eMRinwfCLtnwnhLW4kag03uFBdkVsCkspa2ks1zqZIlfERWQ14AXRTfu8Y5f6Zk+HGgVwNOM4ZDUQB1nMiNgVGUMhjaw8uHTvoquwK1G0OPgbwC4PE3Y9YsN1VmN0UzRWmxVZMlZYBZArsEd+6Dl8GlLAazmwpjVwLKPJHjuijSdsprUv7k83X+4JMtjPCs711hb0rtLdd5385nrMq3tdpwPfauVPIxrr9zJl/byqbztL3W6FSipfXFldTEqY9Ump94W5/DZ33+4FMecVKCXCMYCYnS+SCJXCs4IC9AnekK7CJQ4EhkKf2czckym8L+myZbnU0B9Dzzm+VQhaO9RRn0lrGBcx7X2Trcxd84IRsDSWqIE00UG7x2F7oDQaKznULkGIO7//g6DD3O3FVgV7N8FQZ3g0rntdzjzpm9nImXed9jjonMwa3G5MnYnvUq23vGavAYP4g5fF7yqTua9Ho+1NVa9i5qvp3VRZQJnookG3sM3zzJUzK4A/riqO4SrXVe7+EAXTqb8UqrxaX0iOOUVjPhba/sc+vX6xw+lyUV7IBqUiEY2LXGvkedgduUYDcFqDO3hCz5Uyw4uZOSp+4te6sMrKU8qQI9B7YcW+WLc1e4LlXmFhnQRHaBjYPevSklqNckzYbEm5/1kEZxMs9iivVBTcbCa342Du713nQO4iIx4jKgqcgTUcy+K92TAtw5cwt3MHvunOjKdhvSkSVSZo5JxuSelzCKNbfd1+Srj9TtcHDpW4CPsXde5KWEoBIM4wZRY0zuyLZv5VaweZG6Lw+ts+xh7qRkW5FY3a1LmaIlqZCoVKKFIh55vPb6iNe+eMCpL/iMdMZethKKBI+hAKmdbauEKAzsPPWjCnjljkpWKy4ogG+EKMne2O/UiCzwrAC9zKjqItlTzsoRAlvWK/L348ZzNv1fLDbFRbBWVRgDcSKJYoW3a+eW1dFwdKvB/8fG2A1GcxCup7kr2rsCcrMG1G6ddFV/52DGWb5y0DuMXQA7B3pZNlp1Tqr6WxXp99R5nCCl7dSRQcKdDwb8+h9PkhqvdE6kQghp9wESZVq+yuCu47M+e38LScwS2TkDMi5TTEWuaPKpV1kxligdlUKTS+uNC+2RJJogSPn5H+5w4LTHnQ9IdCAyyNoPEGvFAFdQGUeWrKPJCy88W23z95sFlLkOF9kFoClHSRgXD1D65GuaIJyu+0ry0FQwmAfI47GgFIJWs0arNXHrho1bV9XmLTt6Z84uHRFS/LgSMZ4i63tknfFp1SIoIdfq00pyRq0tmHKLpMrUe24Hlql4NV4d6ASURUHVM4DblSpeJaFjey1PLwt+/SOT3P1I027KI207GtLHk4K6hFCSbXJl1tZuV46sAboYklMdRpTXvEs11jDtnLfyuXAuerP2vOZk4MwBFONSz/2ZgbnZhNAz3P94wOrAqS3Iwsx8inhZcVhKAbHm6vxWliWnGNeRXvbyGd+63ZE4OHp6bO5gmS8oh79W7k1ZXWOModmsM+it/NCJ44cOeFNN24KRppokotxjxWXtsSVAVF43FTZ3mbq8qpxRXq40Ea6L4m6LUZUmch3Nne8wsO6h3MAyK4XNHqdBykc+M8mnb29iagpEdkULDyFlpd+y7G98lo55l32eSRSOvVx8YVUiL2UKVALN6vzCLMjM5geajLmN0WWNipBIrUiFhxykvP1VA54+6vP+P/SIwqQEuBAY7TMi667K8+upNbENpgRlxpaGLLupTYHFItjMGRnL5tYeLBeE/PvPE4uVFT7N8ZOxuHHeplMAOS5H3LOoBRht6PZiotj64d7G2RgpBcNhwkpbo7P5dXm6M79uy390bFnI/7AD9LUgN2MSxXVODOMjeCtgz/1ukQHc0d4VBpep46S44E6RTu3Jlx8I+eMvNBmm2RR8kVuDWdZSmIr2Xjc17wLdvejHzkv1C1if/fLdDHLveU1GE7OmhNZIJ7MpHWdFKFuYJbPiLKlJtUfoa374TT3ufSzgy49YuzD3xpECbTxG2rajFUUk49ZhhtRCSgmBIpcmDsjzpgdHc+e/k4NWSJDGVEjCZOfLOBIFMZYZzrFXAH7tBIgkMYw6KVJZS9AbjuwfipPMAnOWlPwfXZfFHfZGUOyps64Gz1Pz6zknOcBde9AFtyh39lJrdLiueuDj7C3TMsD0Yvoj+NU/muTomRDjlbslV7R3LpEqwB4DNOuAuYCwG7iMo7wK8vUm+Lp6vCy+cvX42toULbOKQ+myuEKkGiE8ZKS5dGvMv/+RNvf+25DuMPswWhbvK8VjmGdY8uJuXYLcSEBnoDYUDovKAsrCYs7+U5HVpJRJHkfu5r/jkl7GmtVEoSmK18ablAt6GOMNY7JNx3wbkHsJGxFCkZouxlxESlP5D9ylIfe7S0CXr61nD7rNAO7M6FKiOKN315Uo2vHBnb7EjM0L5q64Js7uvJnn7XkxSQq/c0uLR/bXrOctc+YunRNfVGWJElXWFi7Yx5g7i5xwh26ux9drmHzMOSkbICiLmYwtZlpTbSgsgxdBp5YW5KlEi+xIM6miNTdcEfPT72jz3z4+RZRmLA5FVJiiGOlci2e5dgfkhUQRTpZT2A16jcvmEoQumVtmsteYUraMn1NTyBJRJIFwmF1kzGsXFyc7bKpn1BjDlo2TzM5MkiQJ3ite/XrCWpOTx57i4fu+gFDBmD1YdVPKL9RUn1OdbLp2VMC4g1IFdAl4MyZTqvszluydlrrcTepUjiywrKV85b6QD93Soj3wrQeYed5kTbrWOSmzlm4pr6q877X6u2CWSlgmiudjUnENa6/BewXoBjcBVLJ2NhU2lyRuEkhYGzGVCmm0rVdJFBM1zY++s89DT4Xc9g0FjSRj6uwdSkGiJUPymKIEucGWxlLYltbzzmJVW9abSxidy41SvuSrtwGkqVqrxTRiCcK4KkCUiiE/DIVGz/+8yQBrlUjCDTfcwAuefy2dTg9PSh8lfUBZ+ye/WpylwJUc7h8sjHryAhmzrv6uJnMcvZ0PTXdliSNJSplS7rBrAZ5W/W5prUBZ7KtuA0spE6SXsP+4x//8xASHlwLbBp/53fZeluztNDxXQL6ePKlIk7FpTWvVSHVJXOMuuCxeJlaKRgjWS+OPDQnKC7GMLjaVFblUEQYhPWRs2D2T8FPv6nL8vMehMwLjuQJLgPRJM5AzBvJcAKsCHJnfDRmLiyLQzAumChYfky4WLu6cHBDpeHxjSvyZqkSpkHDuvWcn1PcVQRAQBBFe3hFjdzsod85y9XdVe49lMB3GrtafjDG3dIFeypMKc2dSRWUypGRyR3crnT0fT+aUQFcqRcqEIEw43xb86h9O8KmvNTC+KtPxmTRZj72VcwGudU6qJ3g8qeMyeqnDq4CvsPYY2PPX1takuDo8B7QbgOadPzIrasofZ8FnqknQ+NK6Ku2R5Od+U3FhVUDo0q3A4BVMXsqT7ELL7zPWtrFcJl8KN0VkQWaVyYW0bolxGlyMK0syhjbOOV6PTMeH54vyLRLFmjgpk2RSSYXvh+eVlF+amJxBirTiUZeTpNwakTGvOv/9sefFa6rcOFS6Pxe68u9UHBJVWoNF3UleMTjmecs8mFRJ9tjWmkRoPntPna880MhqTXJLUGYMnrN3uWuwO2/QZZM1ZbGOFq+samPM7WrFNTe3FsUFNDlzizJwc9rIcgfF1eOpzhM/TmrfSLRR2Wv2cZJ4CCN53QuHvOUlfQKRtb/o/IjBJBhjSAwMNYy0INIQa0FiICmG9EOSzSJJtHUXy60Is90qsqA4zQBX3GvbcWP7T012uPNNyn/Pfd1ut2jQxmT35e/Eccrc7CxSii+FYXBeKoncuOUyDu372nHM8H/Mb5hHibgC6BKwbnJGF5V9qiInGAO2zjYq1ZX/ttKNU5Ea2vl77msOuPPtpIvqwLTinMiszjsRms/cUef9fzTB6UUfAmWZ2wksRQbuIms5VtFYiSMqs09EBcBlXmCMWajeF1HTWoyPvejsw45YI0kKwOcTsLR0GiMkRpc1KjbFbzt/dGpb3OKRYvus5ud+pMNbX9XHFxm4jQN0Y0eJJAaGBiJjQZ5kYE60IDEl0NPKYxfs+e5xJRDTMQAXINamAG8V0PnPq4fJLw5jj+EoZeOmTfQH8f/49Oe+dvyaq/bYPXqMHmG0wegEIfIC9zEdvsYC1BWrsHjspN3LSjFTlSjrBZZibA/0XKao0jWRjhTJwS2dgDK3BH0/5dii5EOfbHLgSAgtVYDaJnas9s6lSdFnybhHz/od806wmYdjZfZvjLkrz0sXZb1kj2VtPZbwKV0UWWT8qul7KSzIpTCFNy5yZs/qCYTQduqVsd54PDJcsTvmh9/e5YEnAo4vOEtVEXRaGZIgGAobXJKNcDParUMpdXlRo1JVPTZdL+3PhClXxkLGWEXsvFatMswliBi7dxQU2hiiOGEwihiNYiDbhGpy7ho8v85gCPLCcUCXuoixgJFcY467I2OOCVWg58Flrscre5s720PnwBZFcKkp3ZS8cMqRJcVrlr09lbLcFfz2n01wxyO1skowz1hm4FaSbIdidwxyebEqB8zr2YLrAX/cAv9Wb253faWq0LjyJUtrawsonc0GNMIBv5PplMKghUFoe561UPa5UPYyEpq0r3nV9SP+xXs7/Oc/mmJlkAM7Q5wWGcg9EikKByUHOdoCmRzwGVnk77HY8yovcckuCJFdBG6Hjxk7x0XwafL4DtzxI7ldn8dAxhh8z+OqvTt56U3X0esN8msUGq3N7Ni557Z4tPDrQRhkwv9ZdPV4069r7a2RNtpJrbuSpJq4UcrafaVbMtaVs6Y6MH+cVBI6Q2n4wCeb/OEtLbqxbwupcubOXBM7u690TipFVflJztm8UgzkMPW6YK7Ouf5WkD7eXV8AOf+Z67Y4dmEpWVwLcXwyrZUqeXtbPsBTm3IPzpYHP/7OLj/x9i51nYBOM6mSgokduWI1+SjT5HF2JEYQ5xLFZFq8kCyONh+TI1ajZ5rckSMVDe5KlEyOpLn2dvS8PS+GoFbj1JmFX7/qyr237dyxuQT4li2b+OiH/8/+sZPdY51+rawWGwNuUToqy8DRrdnO52WXwHYDzLX+tqy0lpWM7epymQNapZmMyRM5VeaWMgFf8/QRn7+4rUEnziZjkgPbKwJMQSZNisNUe0DHo3jGHrvRu1j7Os5/860gvWxXG7MM80DT1d7FReA0Jbv6e03njxt4KqvPtUIbhdGKJFa0PMP3va7HlZePkKmrx12wpyXIDTbozMCdmFyXZwHnmmCTNRpcj+tzwzPq7uL33QthTK8LAfNTASTtY//hl9/X37jRATjAzS97E6949T/mkh2XIUWMr/Qa5pbSDtcZZ3K3XqRsQHDYeSxRUzC5WAvmKrA1rnsi3SzlWCre81OeOurz0782zROHQowvS1lSMLh0bEFTDPIZ36lhPWtwPZlSSewInGfibydXTPVh1RcftwvLLbgrm7g6fZvFwCAjC3/cOJOxtFbZ+DdFajx0pLjuspjf/blVrt49gjgtQV4ccQZ2UwSeQw2RtiCPtSA2ZOB2AV9l6xzIrkMyDvTUYfN0HPDruDFJagPMPXsv5z3f+z28/W1vKc6nlz+Yn5vE9xt0FhTD5QipAqAsT6x44OPanDJhI4RZo8XL5I6pPham0N/VJI+uPFYyReTetyqBLbOEjudrukbye59s8ui+kFQ5rC3KehNwbMEKqKvOSc7K43MH14yFqIDdOU8uqp8F4WYM2C7CjdunWXndZfaxmnFj53ZrXY6/NnlmU2QhrJDZ9yWtHteGFI0nDDdcOeKfv63Hz/83n24iwIeiiCRvpkSAVqRCEOVtbDoTxNm9wTYj5wl9k81ly5NAxiGQrKwl87+dbQez81MJLLPz4K6W+bkZjDSpqTExNYtQ/bUA930Pzw8PT0/5R0Zz3u5ePyZJPbQNi9eY7TggLgNMU7kQZPFaNZFTSfbkr2WMnj+2Oj51AJ9m9Sip9epFghIpnp/S1/ChTzX5xFeajHIwjzE3QiJzW1CW0mTNPjsue48ztiiBXU3mVO3BKrK/mTwZZ28HGPlFkIFcQzHKuOqNl4C34JbIDPDCCERWoyKMtKlwY+xjnQWdxnahB8Lwrtf22XfC40OfbNGLsSdMZyjM7zMIp1qWgWSWqrc1MhbISuS1KiWox5NAbm2KBXq1C2gNuPOV0YldhrFBeBMIv3mkFoSHByouzmkhURoT2xkuf/5L01P+R1uT02CSsnZElgwt15MoLgMX9du6kCqVQLRSb+LWkYz53i64ncIqKXL2TlFeQjeCP/x0k//yhxNcXPKL2m631sQewmFvsyZbuWZmi1v+yxjY3edjrF35mXh2cOeodgutitcqT0XG6NUAs+KP54kfqpLFdVaqulxVtiq0I+AUm2Y1v/gjbf7Z27q0wmz+mUkdPZ5JFZOC0Wht9bgrVwqfPJMSick880KmZBtsrZEqjs9tnGSRdgPN/DOXRxxrZjZsQNcnP/p7n7j7S3t2b13L4ADKV4RB8Pn+sP7WRNevB20L0PPWIEeOjNuB7mtuCr6ULyVrF4VWhfddZW4pxgLM3BYUTvmrSpE1w6c/3+B9H5zg/HKWzFnD3tWMpS+cLiIxts8ODqDHmdvxuSvpeIenxfiLf8ubm9EswS+KF9ZP3dtUuZ0qJew22qIEtjClJy5Eztpk97lcsSyO9ogjw+bplF/80Q5LHclHP9eCWrZ0rGFye9NIYmxcEAin6CrLxOYMTsbeOrMTi/1+iiIsxy7M9/bJpQu5VDHl0CCsezLR9JhuiEf9euPzKYPKOa300Dfn381999xzd38welCpcmewNYBcl43z0Q1ZCl7o4vdddh5vDK6COwOyclh6HXBLmaJCzeHTHn/6uSbnFoIS3GLskBKRae7cOfGyxMR4p47bCF2AmaosKYLHjL5d/f0tqpICzM/6c8f7drfrWNcjp8xqVl0VN/AsA84ide+weOo4LEkk2TyX8t7v7rN7ewRRxuJ5ptO4Qahl8jy1bx2WLKVfHCJjcvtYm/HUvljXNhzPdtrAsuooAUilQA8fvO8rt9797/7Za58Z4AD7L+5i34VLWeq1SHX+ZVKRJeMZx6pU0WPOy5jnLXT198a97vx3Cpnigjvrig80R856/IffneJrD9VsA2XF63a9b+t552MgPLlWa683zKfyO86432eqJMw1SuXCGP99sb5Lkl8VlTkpZvy+tAxdIJfLdfVnblGWwS71Jk/p59KkkC42vZ8am8rXWqGHgte8YMiv/HSbS7dG1lkxrlxJnbR+WgTEOciHWmR++ZhkcezEcXdljW3oOifjXrkpz/fOLSHf/+ZNvOdNG9YQhTf+wute9UaEVNHhx29h1GnbCsOxtjJw5UZVtriBZcU5YZ0AU2rHRckYXNjXSnCXUkXKBOVrjl/0+I+/N8knbmsQiWw3KuH2V5bgllj2Luu819l+W5g1koR1wMkYcCuM/s2I2/3hevUopnQO1hSL5yW0haNSrRMnS3SYSmazbISQ2oJcCxtwiiITKrOsaBnF5pIl0Yaal/Du7+qTavil35nkxMXMWYFsYj3rSJbsYsqCx7y3U1M6K3lXUNGJL01RRWjnG4vsuSkloykJooiJtN2qfduWLdx001uiOEm+OcC3b5sD0fy3w+VLrrpw8uir0J1sf/g8TT/umjyzJSiEzthfV7R41R7MQC1MBuK8HNZag5U0vJdyYsHn5//7JLd8uUEks63XxHqHm7F0htdnJ3FdacJYsOkgd9z/roB6nLb/DrdxXLt14WvT9jnjm0LCiDH2zl8TjhbP7cMS5Nk42KwjVGfgzhuKkwR8L+X73jDAU/AL/32KExcDsjnM1YtQG4u4LFusEURY1vWlwK98lmysG1YqmqyeJv+8sgCzBbp2vje3nDY1hlazySU7dt++cdMl//bcxf6a87pGogjZYuHEZzpTE+rAZEungW9HDlc09lhDghwDa5mssfq7SPsXOtu5l64cKXW4qMiUBKlSzi4rfvF3JrnltnXAvcYWtCfNl9UunfXYOwezu28QjEuRMf97XXI2VdD/LdA9HmCO++LliwJd/K4obFyTxYB6TKK4TkplzmGuzXWZADJFBaIqkkFJIvFSeNd3Dfj//nSbzbNxKVGcNxJwGgAAJ4RJREFULGd5uLrcSpYoc1gKl8VxU4rHhWwpf15KkrG0v4YkhVEiGOkgxasf+P0/va2zZWPzmwM8/2LTpP3TtXr4eOC7waML7syrFq72tqAUopQb1eykKYPGIngsZUkRZBbMnQ/r0aS+4IOfafGJLzaIlAtob+zeAbdYm7Ec191VXV0CdL3xEK7/vZ6+LjKZQvxt8V3NZq5J6lR9bzetX1iCrGXwaolt2fljtbib2axmPFOjivpxbRQ6lXip4d1v6POjb+3hpWlpH64L8jRLtZYgH+ksADV55tOtJRcV0Gs3q1lJz5e6PUkFiZHUms3Hl1Z6P/1MQfu6AJ/f8Y9RYphOzFxmhJTrOCgOyJ06brnOIcbA7wK9WhU41gWfH0qDJ/jS3XU+9qUGI6kyqnUB7bA3pTQp99VxAI0L9LyjO5soMAZaN+GTk7KrtV1A57+wpkz2WwG384sVmeKw+hrXhNwXZ+wCyKZfucB2miMqwWdxXxZj5QGnZXCHzVNJqA3veX2f73rJAJHq0ht3irJKpyVxwG7rReLMMx8ZQZyxd57ez+tZSmCLKqNXgk0bZyiluO6a3aY9TNJ//oOv/9YBDtDa8Aaac6/+mBds7DEeNI41MbhgHwezTc6YkrHHZEp1jklazDGRMkV6GuHDZ79e42d/a4onD4cYKdcHthtYijxbOR5YVhM51XEQhvEMZg7iSvnmmG6ppO7HQP1NwT2WxlwrT0TxxG18WFOfol0HZSzDaVgDaDfxYxyp4josxq1ZMQpjFCaVXLs75v/639t898v7ZbGJayGON07otMjOmAzQUXGUdmJegbge0PW4hYg9dm6d7X3/W178sR9+x0uf8Rw/I8DrEzvM6sLjv92cvmpRF3ahy8ZVUJcuiFkH6OkazV2CPM1kTYrI7UBhh/gIDz59Z52f/x+TPH0stAXca7zuqjQRMgsqcXZmyPU346B+FrmxnqvC2mNdth5j42en7nVeN2NPK0CnAubyNcdKhDXau/SPHT3uau9MulTsw/zneZmtVuhIctXOmF//mTb/6BUZyLVeR6I8k2wxpNoCvJQsbqFWCfRCm+dAz6QXgDCGm2/cu/j1+5767Ssv2/aMp9rjWW7N6euJo1XE+QcQrBagrY6CcJsbdPla7paQ2YGZq1I0NDgaXYhSk6us5gQPPn1XnX/3O5M8eeSZwC1LJs+Y1i+kydrhPXkXTmWA5jcDu4vZMQtxneJBB+3fug5fM+PacUjyn+cgLoblsx6rm9JREe64CeNIE4nIOu9dlwUjbYYwq1PRmT0jREaZTpUMEVx7acx/+d/aGAOfvathnRX1bJ9S4/6S1qKYWJEK8Mnq2bMkXFl8RbZduP1dTwqE1mycafKSF+xlw9zks57bZwV4UN8+SuP2P5+Y2vaXg9WlppeVwLrdPEBFvpTWoS6e54GnKLR8GYgK1+cWKUJazf25u2v8wn+f5KljwfrgZoy95XitSd7A4NScUGXvNZKkEjCOgXkc7FQbH/IroPr0m0M8H8m9Rp5QAtca5JR+OMYBrqvRS0elZPm86IrMJnTAntuGubuSuc7FZ5C2GRgJwiirRvKfRobrLo359X/RRhv4/N310hdf+ynHfmDnlNsEFMXmVZ4AD4HO7UMohgEV1qExIAyX7d7ek0r+8z2Xbh79nQEuzEU9MbP7ft//rvbF6LGmr0Zl4U/+OwWLZ6yNo9cLIFvfuwB4IUtKgCuRIpTGKMEX7q3xb35rkqePPlsKvgpuKcqEjmsHrq3zrrL3uokecrCLMbCLCsvnUC4A/0y6Zey1MRXi/EAUdD1eSlsNOh1wuxeDdv6JrI9TUAK94pHnMw61rUexRrRlcZ1lYUS+fYPOVmisGvn/tfflcXIUV5pfRB51dfVJd0u06NZ9IAQCgUDLYQEy9gKeZRgwsD+b8WA8Xhh7bWzjtXe9Y+zZMeBjjMdeGGZXrL1edow5hkXg8YCxOcQIAzaXAN1S62idLfWh7q4jM2L+yIiMI7Na3VJLArzx+3VXVWZkVlXWFy+/970XLyATYisB5k+t4jv/cQCcEzy1KotQ4jf+8EykKjvqgxIKJaYL6gHFrV0hhTpS1ZJ3MDEgihkf1125dGDB3K6Xt+3qZ6NhmI62089Ngpdp3Oe7Q1e1dZxczWf74LmBpWfbdU2URZbglRKgQ0KYOrhwLoXl5g7Br1/J4At/U493uiW4xcoExHYuJedQM3T0PG9zTcskgOPADpKW3AR5cpsa3DV08fFohGkg1rdrGxMBTmiad5wjbtYvjKfA6YoK03l4Ul0xJkgw85GLmUCxE1ohOLmriu/f0o+lZ5XgxE5lqIXxD8HLWfTlQs0JrXIIpSVSXCqc4GAIlA4O48Il86p9w5WrTmip3zd1Stuo13VUgDuODwSrkWmYvmOILNz05tY2BCEzrTaxdG9iy4d2UEfp3PGfw8BdgqdeyuCz32nAum4fcZkpUsOphAQ7TGoCe3aOHr1Ms961KEuy7FoqoHXg2yNAdTkkuNPC93HEEjbflnq4rpFDARsaYJlyPmPQQ1dWYMz+4XrOirGqhGM4nnHKbUjBKwSzO6v40Zf6cfHiEhxDJ5e5K7qsGFoDgEEuDsWEsxk7nZp6QniIpYsprlw2bdO86V07Vr22EZmMN+q1HRXg0a/j4I67ftn983+qXtU3dPLqMHBAY+6tOW1pCgnVOLaWx03En0MYHJ+DuQRPv5zB57/XgHXbfPBUzm1ZcWqC2yHp9bwPOe0sdpKTGE11Ni1LboI3pRLvKPDmiSfipWbGdQqi3oEr4DOLpkCz2trAsAt3KpBTw5rrKgqPo5sS7I6SEGPAR0EhXiaYfVIVd32hHxcuLoGGTCRoadYcaaqKBL0EeUS9Qghga9/NYwEuXbIIp3XhU+Xe57td59DwdQ/VgbgnAwDeevGzqzmcbwyFxQd59QB814+m/sf8msVqia6mRMCWTmeo+hIGmuHY2uti1Ws+bru3iHXdPrg/isYtrTZViVQxNQESs3Nq0hTInG+eAnhzEMQo1qKZcVFNna5og0PONjGs/yGuc4xprk7ENT4ep4VbHDxyUInWh1tcHLGTGYGaK+2cSu4uHUwilpKUygoRXJ0K7s1AHKW6INoEQBiPKsPcrir+9gv9+PrfM/z21Qy29gLwofoaq5ylkC4eGS8OglD8rgQAoQFmdOQwacq856fPPW9nU38JzY25Iwe4bIPeNXDcPHp3vYS64GlMaaVwnMBQRlQSleZcGqH4MFZTnAzHuh4P315ehxUvZLG3zx0d3LosKBw6BxLYXCv5YJY91pOrJCjHop4krH2U+mOxEGKoLAmzbm9PAzbXdguQpv30CUhYSolBVQhgVMdiIpHKUYMjnooYW30q+kdr/kg1hYlsQSoGAxN1CAGi7v8ym5ADtMwwp7OKH97ajxUvZPHt5UWs3w4gYw3l2NnUFBbOot+ZQfheUe3DLOForqvgpj85DWefkvvbN99aueHUU84fE27HDPDmprlwvIaXcyR4tNLXe8VI+U3U5ZHIQSGUCSXFzDGRmYEEHDQLbOhx8c17inj4qRxKIQUyhwK3XlcwArexzDZJyRZEUiWptc1Mf1VAjTenxOAVdSE4pIkeR0uA2tCyVappDBdDThSUBCIFNbbscju0zENoSguPLTeFPgiEZdcojASzkSYruQQBaMDQ3hziY5cNI+NzfOO/12NjD4CM5i0T3Z22Ac8B5oBTB4wTZGiA8xbMxMI5Cx6dOnX+y+WhgTFfyzEDfPb0EzBwYEd3pu2sz+1Ys8rhpcxHPPcgfLeqwB07nepROpSQrz1g4w4Pt/1dEQ//Ko8SyLjBLSXByKHUckuoRkdg0Q35SGHwapt/yzUc0yYYJzi5TVGIBvixIjnRNeLYRo5JDauu9mvWWgZ4dAoiz8Ug1pYXlEWCWuagxkEimZ/CQEDFMTS25EwDM4CkJWcALzFkXI6rLh4BOHDbPfXYtNMDXHkHsKmKPFgsFUECcO6ixF34xTwKxcYV55yz+HObtvRsnTFtypgBfmiWrrX6pg5UB3+9tX3KotVNLQ3IZXqR8YfguWU1T1JXS0SqKxE8nGYJtuxx8fV7injoqTxKoGKyQhq4qfqjCpWUwFxiG6b11udYxnNELXDGa72IfkjsT4I7QUt0SNpke5zWXHJvg4dbj3oFLH3ysb7fnNamTesS/UyFRcs0tCrVymKeSnnRp7kp55NrKbZMdzyljBgAOTB8dNkIbrt5AF1t1SjbitsKi+WMsioQlkCDQfDhXkztaMSFSxet/ofHXxoXuIFxWHDZcnUngmam3vnkqtXT/8/jQ9dctGAj/uyyMhymxgrRuTdhAAUqnOL3r/u456E8HvxVHhWImb8JcNMkuDXUSN5tRCt1vp0yz9KmIrokqIMbSILcsMiW9bYdTR3j420xEA2LLRUTDdxEkxAlDyeSg2s5Kpyr9eMBNSNGgJ5xAicOFsnJy4gKa2o1VjiihWcpeGTxiaabx0E/Gr9PNJKiB0qBMAiRcRiuWTYCMODuhwp4dY2PMhMOAOHqy8iry4EsD/DxSw/gumWNKHstD0yedcadpcHucV/XcVlwAHCy83DXT57od/Mzbti0s3Pl3v4G4RzrIXopB0YJUyMg+PETeVzxpUY8EE9WSAM3gZFfQnV50Jw4LFcVMGqbwFRFqEwp0FNhkVLAPx6YVt3BFGpiOJWpUqE1UMaKbqtzsmahfG3O3VQHEOMOoFv0+Dy6hdeTrnRpMU6f1Sy5sOK2JTczD6m6CxiW3EEYUnghxzXLRvDYdw/gTy8bRoHKJC09WYvFf4RTTGrOYuHsE1aesWDKDR3OT/rPWTD16AMcAG75xFVozheGf/SVi9666PTW6sGDHgDTalPCQH1giFP8+LECvnp3EXv7XVRBTRBrmYBJWdAEt05NXF36g0lLjJwTabH1PmngtaiIDmJltfVcE5Nty8WnkkivgWmdkiTQaoJcnihJSWqk0IKkbqsZvbRn5HOZb444sqkmTqSDXM7S53F9RAVyxihYSOAyjtb6ELffPIDr/2goAnnVArdI9cjmKF7bMhe7gxsq/QOTh1tP+sThQHX8FEW2rO9g1+71f1Eun3HuK0/vO+Wmj+xEtAx4VBoCDsH6XS4eeyaH25cX0TcoKYljgTnNkuvbNadSs9iUJicymBIgT7HAGve2QT7KYyoXJwr0o+GZ1NxjgRnKUqeqJEQDtnaqmJMTuUYNUVQCKrpJuFzpLKmscCIVFCGQcFlnnIIyFp2HKisvB5scNAAF0RxMhwIgDIw7yjEFogWxAo7mIsNffXoQWY9jxTM5bNjtAZSJhX44PMpwwx9Vcd6SBSMNLbNfIuSw7PCRAXzRGWdjbfcQL5WGV+zc3TezUv1ltr6+HH1DSvAvqzP4xr1FPPu6j3LVEWhMiUjW5ODRr0iRnttNrSCOUbhHU1QSqbDacx13Nj1RuE4J2dsXI9XJHDsTN1QzkrYTBjcHNOmQ6IepNFuD1qaBWigqcaCHRmmpMU0h0Di3KNPAKEAZKMTKyiCgnIKLKfZclHILmbyLMjA4hvpCiQB5IcS3bh7EJedWcNu9Rfx2dUbMTXNBfR8LZs0uXXrxhXf5meBrhDQfNsCdwz4SwI/u+ha/5VMXPd/Z7jnrd4wseXH1fqe+jmPdNh+3/qAev3k5i5A7Iq/EBnQaTTEBLi23rCfoGuF4Ea20LTlBXESTEjWRWK3JifgOQLQ+REyWMLcBhGrbRdZiNHhIfFx0fpF6SqIQiVpYSRXC1Od3Jv5oklbJ/sncdXUOqmc4AtZ2Hg9cpJ0b9jYre1KTixJ3NNFfPEmkM8hjjbEfBxuiPCbPA2Z0hpjTFWD1Bheey3HJ4mEsOm1aJZdfcOea9QN/debpCwIcQTtsCy7bqne2VWZ2Nt/xjy92VV5/u/ebA0O76RPPF7Dy1WxEmuOZBjIrsBa4tT9xWVQKrMrrTkw3gxawIbJsRe0MQT2ltSYtscEQ/2iAbZ2J9sS29GMy4prVNji53kW33ikUJbbMcUVKAsajVTpkKQai8/b4OC2fHMKqC2rDWHQtVV6LVGQoKGei/gpEUCjaDgiWwgGKaH1OUFU6BVyTzBkBrzLQkOOChWV87cZBPPasi0//scNaWjPf3N7n/U3e21w5UnwePrkR7RPX/jne2BiMTO089dHPX7+YNzeGeGWNH+VrO44F7tgs1uDgNEaKo4HbIVxbBU3P91aKigzTx891sIKnW80UUANqu2mC1Oq6aRTHfj52gpJsep63Ods+nlMTg9XorzmeRqheV0oM59OU/Bi0EnBQ+/WSb0orV9Pe0iczy4xEJ06/VVPkSPw6DAkQEiyaU0bvPh87+j/Mp08/9dG5nYMji8++6UjheeQWHAA+uGQatu2cvn7pYn7zr14M7iH+WxQOBxAijlqNyreT4JaKiRF+BzcKZFILuImimUD6bVkDYHzL117D2Jfk5farhHgSDwRtv+0YalY7fkKQsOjy0bbiOrcmQuCO+LLi5Qrc3AQtUTydEcSzfShFHNWkDCISGn2K6Jxi8BAJUBZZZkZBKYOsQyWtf+R3RpacUCgn1orzh1WCoJTBJRd9kO2vLL6Z5DrX91X2TgQ0j9yCA8CsmWfjwnM3VYh/+fJXVp/0xZld05HNBpFqEb+FgmVy8oIJbpUdaNbvNmfG21WqeALAqQ6mZcENQOo0o8Y+HdCJJKvE87E3Ptp2w4pr4E3ZFr1WVlmPkKoaK8riyqhofB5DQtRqHtoFhLS8cc4BfQkVXRdXlpwqay8iFlxIQ70DBBU2HxcsbPrik8H5y594fqgyd+ZZEwHNiQE4ABB6NrZv3xv+6ZVXblz+l+cNfuGaAuqzBAgcLcRl05N0WqLC70hEK4kBcvnHR6EfKdPR5Kexubl81Kx60uKbVjuNqYy78dSn8YvYcsYyoBnQkX0TurqMLsZAtvRz6Lq5BLlGWfQwPszjVfkJAWKY1ETSE27UIpellaJirJ5LcOCgh394Zg7e2nvl4CmnX71x+aW7w8svmD9RsJwYiiJbfTGH+obNKzBp4V+ceWblrpNf+01z/+BWlCohunfnEMb6t6tx8wgdlKgwfBo1sa13GhVJXXI7xVlMUw6AJGjTrLjx2uicbvnH0mLGIcPp0KgGV+/Lob+WDqTSvYk2TzOWD2MnNHqTmKIYIBekgZHIsZTvAxIfy8QSJhTanUJ80UhqjFaRiBxKCgpJWaJPKud1cs7AwbF5J9B3MAOXNveec+ayLbmWs374+Kr+FRcvbJhISE4swBsaiwCA7TsP/nTJmR9yv1tP7pyUvb/1lTX78KnbMxiAB1CxCoMmI8XgFhY8dZoZLB6uWW/ZV+JKAdkM3SfUkzS+LTqk8W/Yr1OAnsD1KEDXwWvusI5L4eexmmLp5NJCJgBMABL906y2GkRc3LVUrop4K/E6no1P0gEeBXKUE8wifSUqU0Fk4Cma1R+A49Z7G7Gjbx5uufb0XzMWfvTj54xe/uFw24QCXLYpk+vA2cD/mnTCUlrZu/723619ohWOD8AHdVxhpaIrJMHtaOAebd0cFblMCckb1pknaIntdEo30JYQiY1Wi9sQqD4GPieCr1ggBrGoh9gusKocSiAOFklAylPYzmZkma1BwAAm4gfyXIyQOPgjndAYzMJVBFERUBYHgsTHjB1gcVlEni0nVQTcx5w5i/ZesuyP/zkIw6MBQwATyMHtRmg9wr6fLQ9R+PIrW07bz2gBDb6DBpejQIEMsWfBp5V54Bagba6dXInBBnEqLQGUlU6jHag9MIzvWOO5LlSPrwynCWbdcYw5tsa/4+2SP8f7FWeOtlvSn+xnyYgwHEy9/FuazKg5irHDCiP1VlbMChlFELgoVzIYHsmjPFLEJy/v2D+5NfPlb9335PLJbcWjBcMj843G0q754v2Us+Dawf27/m79+u4iqIPBKsVwGNW4kOBxRG63XfZBD83LdXWINhgMq04thSXF8qtJESRlG1SU0uprbCdaVDN+rkU2qaxnqD0X/eVrJyVqGm+jZuRVj84SfR/VjEC8n2vb1XMirp9ajkZ/zlWATF8ziUBUSkCcLarKZHPjeCKKs+oFoOQo5CCoBi7KZR+VgKGhqWuwo6v5P3i+8zNSdws7Enwdqh0ViqK3k090mOflHyi1I+hs4j9Z9Xp3dveIjyrEZAN5+0IKDdEttTYTR9IToIYjiRoW3bLqpjwCQz0ZbeibPLy2WSejnEM2nXrU4uSS66qLJUk3FIXRaIuhpceURVvTXlCU+K5A5F1A8fNoX8SdGcS68lB3Abk0plK0tTuGXCxBNEoYMl6IXXtdkMycUsFpvXHgYP7hUql6VMENHEWKItvXv3gtWgql8MS2lofPWtDxsRv/ZErpnHkHUKkwdcFEXwleyZ/TEql0WZCSNBCbNMYIoVu0xDgWGjaNwUKMvjYvMfFolW4bY6upgado3foBRlIVNHqiUY/Ee+iTIqAkwlgr1+kKbMqibWPEpDkawOOrIS5YLhPg2TcDvLljVmk4OOljxfquhzdv88Ips6+fYLQl21EHOAB8+pPXYVbHSNhQ+Ngj55/VcP05p3QON3khfMLjAi8cVsIUrNk4RNEPWxo0gJ72Z/NvkKTxloPBBq3F02txdHOEYNwIj/1KDbAESKDfDurILnEY3wjs2KDXuHiCU8MAv1ouHNo2K9jDzJoqup4uJ5kHIcHAwQxodt7w3sqk6y8+95pHfvPigfCsc686FtA7NgAHgIs/dDVmTLuHn35254P1+Zk3/vtlHf1TW4eAcARhqBYb0muZENt6IwW0OjC1uZb6dtnsY2xA2w5hrX21ZtiPp/FRXicilTDvdHE/SSfs80jeAT1IpAWIJAWxrbiVg1I72qkDXkUo5cQJcMB1QjjOCHbsAzbuOb1/9klzb/zaZ/oe/N7P7+fXXXv1hOOrVjuidNnxtnv/5xO4864P49Y/q189f0ZLz6xpDResXnMgv2t/iLoMRcZRSVWUmtVgbVVFd9Dsmie1HEuZfmrvUzIkMdJojdTW2Ek0t0unEURLlyVmqiwxzpWeLgti3rFS+8EMSsUDMB7I0WcEqSF/ij7GcTA/Q62BHClW+mtoA1tNhACiYFHWH0FAinhrz0W963pmff6Fdwr3T/Iorvx3R5+W6G28hmfC2sZt+5Hx3Rt+/Ohzd9z34MrW6uBBZDxqSH9JipKujkhVJU0vT26Tqoa1j2r74v5EDQ6qqS7EVEQUqIlQN4ixLU1FoTT5+UwVxUz9TShEVDzXVBWiXSNj6fV4v7UvrgKsb+dGP2MpSEtx0ffH8KYcQID6YgZtXR/c6zX+268A1fsIaT8uODvqKkqtNuOkZhzoH77vM9ddRNqLmdvv+9nTrXv29sPzxJQ2bqomMoshPQSfrofHF12zikaUUtunbBGUtTMoCk/0MZpFh4xdadutaCVJbjK6qmgjYuUk5u0iKmnsIzYH5+JbROBU6ooKAgGStqjX8pszWd2KyD5qv14/kIchXK8ZbuOle936D3yVhbjPcQ9/Rs6RtuMGcABoasijNDS0/JpLFweUOt9/ZMWzTTt29qISRPKUuH7Rg7R2gJEym+Dbabd/mIBPjALrPLKncQzXVjQWO3h8GvUmY5EGazYtb8TOQ9HfkHMN6NwEfXyMLhVq2yXHBrgpDwp6Ep2Pa9xe/RZKMeGaUeAxn6+GLvzsJLRPXXog33zeraWy+5N8PnvM8JTWjivAASBbKGCkVP3pR5Yt2r+zp2fGwPC0b//fFS95dR4BldVD5SKzFmVJyIJIFzJ0TmtKgMljMMo2ADFwah07nlYzF0V7V90yx8eI13qKipGEJZKvwCOgEqhc8Rj7YhTE40B3aon5GRjjoFSrZuuIgUAi2804h+dWUN+2pBqEuS83tp2z0fX8JwjN4Hi34w5wAMhlPfbb369bcdP1l/m/fmndMCfO3c+/8BrZP1CmDiWymKzJXcF1Y5rQuWupKFTbB+3YmoC1dhBjR/Jp4vAJ8HISFAXpdMagHTD7KvlQLGOCyHoTackF9JNWPDoTi5fuFkEfuUwkGAJex4qt5/H65rmf8esW/HhkaGelvvnkCULHkbV3BcAB4OwzZuP5l96pzOhq/ykJy88cGBy5+p1Ne/7btq09qM9GljyaYMzjcmsARpXobM5ea59UHdQAIdZdQXF39X4WB0icn2As5j2mIxhDdw6RlSdLQGjc2QAutGU/1HfnkAlX0rrDyDJUX0acT9wB4gFCAICCO1EfSiooNkwC9U76Szc/+0E/d+K2oLy9Ut+84CijZeztXQNwADh/8TwAGPlP33tk3fRTTrmjoX6L39la+C+r12x1GCvDpQSuttSL1HFTwatt12eh2w5ofLx1DhtwZDQEkpQX47HcqebYtNhjOo1FU2zOHdMZSZ0JiTm1TZfiaXVa8CcEAXMYXCeElyPI1c0P/ULbX086se2Ovt7NYb5+6fh+8GPQjqkOPtb2wpMPYOnSy/hff+mjzzz2j/dnAo7FQwN9rouKqJxFVIVT0WzHMqYyKfJf8o9Y/N7SoKnSsNWKyKZsqOvelOiDauw6eJrGnQhmAcoHIDX2QwE9eY6oR3xXgu3TqM+naztB6KBcoQi4h3yhAVOmn12ePP3q79S3feC/3vTJj/DWacdW3x5rmwCGePRaz74BFGiICie3v71m05KfPfg4ZUFpyfqtve7giIOMR+JS1TLU71D1p9ctkQpMYiCk6uJJPZxqQDf72EEfovZTfb+lg1sOs76UuJ5FqOfdGFq39pzY+wjibEClaevT/sw+VCzF7jjRVDKpa4viyfDcAPsOEFQxOagrZFaduujDrKVt+qpqQL+azwUgzvGTAQ/V3tUA19uTv3wc2YxX3N838PfPvrLho8++vJvWOWWAONFSMABcyuG6YhlvR0tphQVsmBZrtGjnoQBuDKBjBXCqAVsC1ga8yMA0Qa4noomZUZTH4PYcBtdlcCkDCEG54qAaMHS0B9g3NJmVsPDnjtv855yXBy+55EPHGxJjau8qDj5au+TDl6N767rBU4vZzza0dW4I8dopTZmBK15/ey3W7vTgEheFDOByLuoWWrxb49+2Xm76g0T7rz1LMQUER9dCRORA0gRT406oJVw/BmqOpnwdf2LloDLCQZhwowkDHMB1GArZKkJWwYZtWTS2zEeuwXl0ztTTVodO5w8IHxnsmPLuUEjG0t4zFlxv27Zth+sXuwZ637mrp+d3V/zwwbfw0msMbQWKxjqKnAe4rv7Dii+rURXY9ARJ/m1abT1PRefRKrdjIi24fpexq3UlKnjRJA3RQ/PUstymMxmpL57LkMsEqMuXUcgOYPO+LHYMnof5sxc+uviMOZ/v6z/YPXlyx/H+6cfd3pMABwDO9wDwZ6Ly6qmr3gw/9+AT3Re8+uoaoDqA5noPnhsFKKqhGRxJdSYRAQIYBeD6DB4L4BLQctAcMcCtR5OCjA5wg9KQtD7ClpMI3NWAIGSA73IUsiNob/XR3D4L+4M5z63ZXv+D8xfOfaNcrW6YPf2E4/2TH1Z7zwJcNlF5afb9jzw7uS7n3rtu7dqZa9esdigYhkocg8OR3OI46svWVldMWpMGcPMYE+iAPhAOE+C0ljOskqwSHFyCF2kDgicGQXQ9outyYMDB4BBBIe9iwYK5YdfUGRsIL326qWPZTgDrfPe9DZH39qfX2s7dvQjDsGvLlm0dxYL/0Juv/Uv9G2u7CytfPYCmAkXOJwjE5G0FEtvBJAkZTlITVVmWmAMCxwDgUKBVILeyCqWrYDmnDlWPjqh5Ug0o8tkQxfwg3u5ugZOZPrTsonMHfC+4qrW9YwelTnc213K8f9IJae8bgAOxNaeDg8MNIwMbztndV/kfv/jN2qB3x5bm/oH9xe5dFVAw5HwC16UmwASSbIBH4NBBLri4Ft2M+h4ZRdFVHGqBG0RZYyl/RoBN8mqdislU2ehYhlwmhOsy7NibQ0tLy+Cpp7TtL9OT3d6+wqfOOn3qi7l8XT84Z0TytfdBe18BXLbqyHa4GZd2b+/LTp31ufLuTXd/6YVXVn38gV9sqjrByNycF2YHB4fAeARe141mvyMlMioB7jiA41ABqpRinWKb0t5HB3jSadQmYGjn1YFLJLAdwBOPhHDjs8bPESkihDKwkMDz82huRKm5KVjTMzDPmztv6U9bhq747sHG+zPD1dYSJVU2d9aJx/unm/D2vgS43g7s7YbnuuTpF57Dnl7fOaGp7u5KuTT77bWbz9u4ZZcTVkso5IBKpYpKFXBdB46ohBqtSBCtdOh5FK5DxDItNS4m0fm6XmoiqboYEx6oWZQ/7fx6IMtzOXyXw3MjrZuxqDCP40TJTweHORzXQ3M9R13Bh5+fHNY3TV1ZyGfW8bD/5s09w+H8BZcgDKt89szxLcv3Xmvve4Dbbf+BPuRzmabtPfu+9b8feNLf1bM1nD+jeEYlYItefmMXEA6joc7FwBBBpcrgeQS5rIOsT+F7BK4T6cac82hZa9Hi3HAS3Q0iWqNqpehUxubelIpFMLTSGLq8yVg04IBosGV9jlyGR5TDYShVKPbs52gohGhr9dB7sA1B6P+us33w952dk52O6R+qZHKt/zkMywfq6hqO909wTNt7JtAzUa25qREADgC4CQDWvrUSDsUFew6ULim2DFzlkfKcxsIwVr78Bl5f5yEflkAQwHdcuFkfWT9aXrpcCaNlsAVYuQCh5LxqwoA5BxJQSWJy/UrRLebUMrlJHsNBUKlyMBbRDs5C+E6IbJGj/QSOd7YCrR2nYWpHHu0n0LU79xceGioVngwJf27+mR843pf8uLY/OIDbbc788wDguT179z83cxae55zNyNCdbMe+1ewgnzlt4azmr+zdvQNNDRkM9veCh33I+hzdO6voP0jRWHThuhQjlVBYfApKHc05jQBuZKRCFYNnHHC4pEIcrstQrhCUywS+BzQWAuzZX8XWHg7fBzo7TkDHlHYUcxV0dU1G0d92x0sbt24+d8FZdPa0NprxnY1dwD/nC+/e/JBj2f7gKMpY246e3chmM41bt+28YPVbb6O+zq82FPO35DLsg4VsiO5dZfy/f3oVbfUVtDQRvNNdwdAQkPeqcChDfZ0bRzZdBwhCjiAEPCdahawaMLgOjRxHwtFQJGgsemhpIhgcquCdLR6aiy5Om5dBrulU7Nznoi7noJB3n2JB+ft1ucCbNmMuGhonPxcE5b66+tbjfcnele0P3oLXah0ntgNAH4DHAGDP7t0AsMalYXs2E7K6lgqeem49stlB1Bc54DgYKlWq5y9ZfBsLhi9vLPJqJYjkxKxPUKpwlCsMhTxFpcIxUmbI+hEnqVRCdLT7XmtL/vF9PS/fFmS5Vw0JQFzUFQqYPms+Jk3xkc9Qmsm4uwFsbm+fdLwv0Xui/X8LPoHtF0+uBCGkfaBvb0NjXcBLlcghzWcJRkoMpQpDfYGiVOYYKXPkMpHePFwK0Tk5QzpPau3nHLu7Zv6b4/1V3jftXwFpZh9fho15FwAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxODoxODozMSswMDowMH5NhOEAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTg6MTg6MzErMDA6MDAPEDxdAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 52213759
{'hecke_orbit_code': 36029621686240762, 'n': 1, 'trace_an': 16}
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id: 52213760
{'hecke_orbit_code': 36029621686240762, 'n': 2, 'trace_an': 0}
-
id: 52213761
{'hecke_orbit_code': 36029621686240762, 'n': 3, 'trace_an': 0}
-
id: 52213762
{'hecke_orbit_code': 36029621686240762, 'n': 4, 'trace_an': 0}
-
id: 52213763
{'hecke_orbit_code': 36029621686240762, 'n': 5, 'trace_an': 0}
-
id: 52213764
{'hecke_orbit_code': 36029621686240762, 'n': 6, 'trace_an': 0}
-
id: 52213765
{'hecke_orbit_code': 36029621686240762, 'n': 7, 'trace_an': 0}
-
id: 52213766
{'hecke_orbit_code': 36029621686240762, 'n': 8, 'trace_an': 0}
-
id: 52213767
{'hecke_orbit_code': 36029621686240762, 'n': 9, 'trace_an': 0}
-
id: 52213768
{'hecke_orbit_code': 36029621686240762, 'n': 10, 'trace_an': 4}
-
id: 52213769
{'hecke_orbit_code': 36029621686240762, 'n': 11, 'trace_an': 0}
-
id: 52213770
{'hecke_orbit_code': 36029621686240762, 'n': 12, 'trace_an': 0}
-
id: 52213771
{'hecke_orbit_code': 36029621686240762, 'n': 13, 'trace_an': 0}
-
id: 52213772
{'hecke_orbit_code': 36029621686240762, 'n': 14, 'trace_an': 0}
-
id: 52213773
{'hecke_orbit_code': 36029621686240762, 'n': 15, 'trace_an': 0}
-
id: 52213774
{'hecke_orbit_code': 36029621686240762, 'n': 16, 'trace_an': -16}
-
id: 52213775
{'hecke_orbit_code': 36029621686240762, 'n': 17, 'trace_an': 0}
-
id: 52213776
{'hecke_orbit_code': 36029621686240762, 'n': 18, 'trace_an': 0}
-
id: 52213777
{'hecke_orbit_code': 36029621686240762, 'n': 19, 'trace_an': 0}
-
id: 52213778
{'hecke_orbit_code': 36029621686240762, 'n': 20, 'trace_an': 0}
-
id: 52213779
{'hecke_orbit_code': 36029621686240762, 'n': 21, 'trace_an': 0}
-
id: 52213780
{'hecke_orbit_code': 36029621686240762, 'n': 22, 'trace_an': 8}
-
id: 52213781
{'hecke_orbit_code': 36029621686240762, 'n': 23, 'trace_an': 0}
-
id: 52213782
{'hecke_orbit_code': 36029621686240762, 'n': 24, 'trace_an': 0}
-
id: 52213783
{'hecke_orbit_code': 36029621686240762, 'n': 25, 'trace_an': -16}
-
id: 52213784
{'hecke_orbit_code': 36029621686240762, 'n': 26, 'trace_an': 0}
-
id: 52213785
{'hecke_orbit_code': 36029621686240762, 'n': 27, 'trace_an': 0}
-
id: 52213786
{'hecke_orbit_code': 36029621686240762, 'n': 28, 'trace_an': 0}
-
id: 52213787
{'hecke_orbit_code': 36029621686240762, 'n': 29, 'trace_an': 0}
-
id: 52213788
{'hecke_orbit_code': 36029621686240762, 'n': 30, 'trace_an': 0}
-
id: 52213789
{'hecke_orbit_code': 36029621686240762, 'n': 31, 'trace_an': 40}
-
id: 52213790
{'hecke_orbit_code': 36029621686240762, 'n': 32, 'trace_an': 0}
-
id: 52213791
{'hecke_orbit_code': 36029621686240762, 'n': 33, 'trace_an': 0}
-
id: 52213792
{'hecke_orbit_code': 36029621686240762, 'n': 34, 'trace_an': 0}
-
id: 52213793
{'hecke_orbit_code': 36029621686240762, 'n': 35, 'trace_an': 0}
-
id: 52213794
{'hecke_orbit_code': 36029621686240762, 'n': 36, 'trace_an': 0}
-
id: 52213795
{'hecke_orbit_code': 36029621686240762, 'n': 37, 'trace_an': -24}
-
id: 52213796
{'hecke_orbit_code': 36029621686240762, 'n': 38, 'trace_an': 0}
-
id: 52213797
{'hecke_orbit_code': 36029621686240762, 'n': 39, 'trace_an': 0}
-
id: 52213798
{'hecke_orbit_code': 36029621686240762, 'n': 40, 'trace_an': 4}
-
id: 52213799
{'hecke_orbit_code': 36029621686240762, 'n': 41, 'trace_an': 0}
-
id: 52213800
{'hecke_orbit_code': 36029621686240762, 'n': 42, 'trace_an': 0}
-
id: 52213801
{'hecke_orbit_code': 36029621686240762, 'n': 43, 'trace_an': -40}
-
id: 52213802
{'hecke_orbit_code': 36029621686240762, 'n': 44, 'trace_an': 0}
-
id: 52213803
{'hecke_orbit_code': 36029621686240762, 'n': 45, 'trace_an': 0}
-
id: 52213804
{'hecke_orbit_code': 36029621686240762, 'n': 46, 'trace_an': 56}
-
id: 52213805
{'hecke_orbit_code': 36029621686240762, 'n': 47, 'trace_an': 0}
-
id: 52213806
{'hecke_orbit_code': 36029621686240762, 'n': 48, 'trace_an': 0}
-
id: 52213807
{'hecke_orbit_code': 36029621686240762, 'n': 49, 'trace_an': 0}
-
id: 52213808
{'hecke_orbit_code': 36029621686240762, 'n': 50, 'trace_an': 0}
-
id: 52213809
{'hecke_orbit_code': 36029621686240762, 'n': 51, 'trace_an': 0}
-
id: 52213810
{'hecke_orbit_code': 36029621686240762, 'n': 52, 'trace_an': 0}
-
id: 52213811
{'hecke_orbit_code': 36029621686240762, 'n': 53, 'trace_an': 0}
-
id: 52213812
{'hecke_orbit_code': 36029621686240762, 'n': 54, 'trace_an': 0}
-
id: 52213813
{'hecke_orbit_code': 36029621686240762, 'n': 55, 'trace_an': -8}
-
id: 52213814
{'hecke_orbit_code': 36029621686240762, 'n': 56, 'trace_an': 0}
-
id: 52213815
{'hecke_orbit_code': 36029621686240762, 'n': 57, 'trace_an': 0}
-
id: 52213816
{'hecke_orbit_code': 36029621686240762, 'n': 58, 'trace_an': -8}
-
id: 52213817
{'hecke_orbit_code': 36029621686240762, 'n': 59, 'trace_an': 0}
-
id: 52213818
{'hecke_orbit_code': 36029621686240762, 'n': 60, 'trace_an': 0}
-
id: 52213819
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{'hecke_orbit_code': 36029621686240762, 'n': 997, 'trace_an': -208}