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{'Nk2': 31680, 'analytic_conductor': 63.24151840085406, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, -1], [11, 1]], 'atkin_lehner_string': '++-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7920, 1, [991, 5941, 3521, 6337, 6481], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [2, -4, 1]], [13, [-2, 0, 1]], [17, [-18, 0, 1]], [19, [8, -8, 1]], [23, [-8, 0, 1]], [29, [-28, 4, 1]]], 'hecke_orbit': 58, 'hecke_orbit_code': 256705178793680624, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7920.2.a.cf', 'level': 7920, '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, 11], 'level_radical': 330, 'minimal_twist': '3960.2.a.u', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}+(2+\\beta )q^{7}-q^{11}-\\beta q^{13}+3\\beta q^{17}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7920.2.a', 'trace_display': [0, 0, 2, 4], 'trace_hash': 1691894365436612339, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [5, 5, 5, 5, 7, 7, 8, 8, 7, 3, 3, 7, 7, 9, 8, 6], 'Nk2': 31680, 'analytic_conductor': 63.24151840085406, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7920, 1, [991, 5941, 3521, 6337, 6481], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1681, 'dim': 100, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 13, 17, 19, 23, 29], 'hecke_orbit_code': 33562352, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4], 'label': '7920.2.a', 'level': 7920, '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, 11], 'level_radical': 330, 'mf_dim': 1776, 'mf_new_dim': 100, 'num_forms': 66, 'plus_dim': 44, 'prim_orbit_index': 1, 'relative_dim': 100, 'sturm_bound': 3456, 'trace_bound': 19, 'trace_display': [0, 0, 0, 8], 'traces': [100, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 100, 0, 0, 0, -8, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -20, 0, 116, 0, 0, 0, 0, 0, 4, 0, 0, 0, -16, 0, 16, 0, 0, 0, 0, 0, -4, 0, 0, 0, -16, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 40, 0, 4, 0, 0, 0, 40, 0, 16, 0, 0, 0, 8, 0, -20, 0, 0, 0, 24, 0, 100, 0, 0, 0, 0, 0, -16, 0, 0, 0, -48, 0, -16, 0, 0, 0, 8, 0, 64, 0, 0, 0, -20, 0, 0, 0, 0, 0, 16, 0, 48, 0, 0, 0, 32, 0, 0, 0, 0, 0, -40, 0, 44, 0, 0, 0, -32, 0, 92, 0, 0, 0, 64, 0, 8, 0, 0, 0, -88, 0, 24, 0, 0, 0, 0, 0, -12, 0, 0, 0, -16, 0, 16, 0, 0, 0, 96, 0, 8, 0, 0, 0, 64, 0, 24, 0, 0, 0, 8, 0, 96, 0, 0, 0, -24, 0, 32, 0, 0, 0, -64, 0, 60, 0, 0, 0, 32, 0, 40, 0, 0, 0, -32, 0, 4, 0, 0, 0, 128, 0, 96, 0, 0, 0, -24, 0, 32, 0, 0, 0, 8, 0, -16, 0, 0, 0, 24, 0, -48, 0, 0, 0, 0, 0, 32, 0, 0, 0, 80, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 80, 0, 0, 0, -64, 0, 116, 0, 0, 0, -48, 0, 16, 0, 0, 0, 96, 0, -8, 0, 0, 0, 24, 0, -40, 0, 0, 0, 64, 0, 40, 0, 0, 0, 32, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 88, 0, 80, 0, 0, 0, -60, 0, -16, 0, 0, 0, -16, 0, -32, 0, 0, 0, 120, 0, 40, 0, 0, 0, 40, 0, -24, 0, 0, 0, 96, 0, 156, 0, 0, 0, 0, 0, 148, 0, 0, 0, -112, 0, -16, 0, 0, 0, 80, 0, -16, 0, 0, 0, -20, 0, 0, 0, 0, 0, -16, 0, -16, 0, 0, 0, 32, 0, 0, 0, 0, 0, 64, 0, 208, 0, 0, 0, -32, 0, 48, 0, 0, 0, 32, 0, -8, 0, 0, 0, -152, 0, -112, 0, 0, 0, 0, 0, 128, 0, 0, 0, -112, 0, -104, 0, 0, 0, -80, 0, 32, 0, 0, 0, -28, 0, -16, 0, 0, 0, 128, 0, 0, 0, 0, 0, -80, 0, -80, 0, 0, 0, -152, 0, 108, 0, 0, 0, 244, 0, 56, 0, 0, 0, -8, 0, 0, 0, 0, 0, 208, 0, -16, 0, 0, 0, 0, 0, 132, 0, 0, 0, -64, 0, -128, 0, 0, 0, -48, 0, -80, 0, 0, 0, 312, 0, 16, 0, 0, 0, 24, 0, 144, 0, 0, 0, 12, 0, 0, 0, 0, 0, 8, 0, 328, 0, 0, 0, -32, 0, 108, 0, 0, 0, -96, 0, 16, 0, 0, 0, 8, 0, -8, 0, 0, 0, 56, 0, 16, 0, 0, 0, 24, 0, 64, 0, 0, 0, 0, 0, -48, 0, 0, 0, 104, 0, -32, 0, 0, 0, -48, 0, 144, 0, 0, 0, -12, 0, -8, 0, 0, 0, 8, 0, 16, 0, 0, 0, 308, 0, 0, 0, 0, 0, 48, 0, -16, 0, 0, 0, -144, 0, -32, 0, 0, 0, 0, 0, 112, 0, 0, 0, -64, 0, 64, 0, 0, 0, 72, 0, 232, 0, 0, 0, 208, 0, 100, 0, 0, 0, 64, 0, 112, 0, 0, 0, -24, 0, -32, 0, 0, 0, -56, 0, -196, 0, 0, 0, -12, 0, 16, 0, 0, 0, 112, 0, 48, 0, 0, 0, -64, 0, -112, 0, 0, 0, -24, 0, -104, 0, 0, 0, -24, 0, 16, 0, 0, 0, 32, 0, -96, 0, 0, 0, -84, 0, 0, 0, 0, 0, 48, 0, 56, 0, 0, 0, -16, 0, -16, 0, 0, 0, -48, 0, -32, 0, 0, 0, -80, 0, -8, 0, 0, 0, -160, 0, -12, 0, 0, 0, 64, 0, 40, 0, 0, 0, -8, 0, -84, 0, 0, 0, 288, 0, -64, 0, 0, 0, 0, 0, -256, 0, 0, 0, 208, 0, -8, 0, 0, 0, -40, 0, -128, 0, 0, 0, -48, 0, -16, 0, 0, 0, 168, 0, 16, 0, 0, 0, 96, 0, 136, 0, 0, 0, -128, 0, -24, 0, 0, 0, 0, 0, -16, 0, 0, 0, 16, 0, -104, 0, 0, 0, 16, 0, 80, 0, 0, 0, 128, 0, -192, 0, 0, 0, 60, 0, 24, 0, 0, 0, 200, 0, 16, 0, 0, 0, -84, 0, 224, 0, 0, 0, 16, 0, 196, 0, 0, 0, 152, 0, -192, 0, 0, 0, 256, 0, -72, 0, 0, 0, 160, 0, 68, 0, 0, 0, -16, 0, 8, 0, 0, 0, 24, 0, -240, 0, 0, 0, 80, 0, -56, 0, 0, 0, -260, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -224, 0, 0, 0, -176, 0, 140, 0, 0, 0, 96, 0, 104, 0, 0, 0, -144, 0, 88, 0, 0, 0, -144, 0, -224, 0, 0, 0, -64, 0, -116, 0, 0, 0, -8, 0, 8, 0, 0, 0, 48, 0, -448, 0, 0, 0, 128, 0, 0, 0, 0, 0, -8, 0, 176, 0, 0, 0, -28, 0, 32, 0, 0, 0, -248, 0, -104, 0, 0, 0, 100, 0, -176, 0, 0, 0, -80, 0, 32, 0, 0, 0, -336, 0, 140, 0, 0, 0, -64, 0, 0, 0, 0, 0, -320, 0, -160, 0, 0, 0, 184, 0, 8, 0, 0, 0, 12, 0, 80, 0, 0, 0, -152, 0, 144, 0, 0, 0, 64, 0, -304, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1369461
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 58, 'source_is_minimal': False, 'source_label': '7920.2.a.cf', 'source_level': 7920, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '3960.2.a.u', 'target_level': 3960, 'twist_class_label': '3960.2.a.u', 'twist_class_level': 3960, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1369462
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 58, 'source_is_minimal': False, 'source_label': '7920.2.a.cf', 'source_level': 7920, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': True, 'target_label': '3960.2.a.bb', 'target_level': 3960, 'twist_class_label': '3960.2.a.u', 'twist_class_level': 3960, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1369463
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 58, 'source_is_minimal': False, 'source_label': '7920.2.a.cf', 'source_level': 7920, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '7920.2.a.bx', 'target_level': 7920, 'twist_class_label': '3960.2.a.u', 'twist_class_level': 3960, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1369464
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 58, 'source_is_minimal': False, 'source_label': '7920.2.a.cf', 'source_level': 7920, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 58, 'target_is_minimal': False, 'target_label': '7920.2.a.cf', 'target_level': 7920, 'twist_class_label': '3960.2.a.u', 'twist_class_level': 3960, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4578775
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 256705178793680624, 'p': 2}
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id: 4578776
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 256705178793680624, 'p': 3}
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id: 4578777
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 256705178793680624, 'p': 5}
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id: 4578778
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 7}
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id: 4578779
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 256705178793680624, 'p': 11}
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id: 4578780
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 13}
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id: 4578781
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 17}
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id: 4578782
{'charpoly_factorization': [[[8, -8, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 19}
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id: 4578783
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 23}
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id: 4578784
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 29}
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id: 4578785
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 31}
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id: 4578786
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 37}
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id: 4578787
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 41}
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id: 4578788
{'charpoly_factorization': [[[-46, -4, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 43}
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id: 4578789
{'charpoly_factorization': [[[-56, -8, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 47}
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id: 4578790
{'charpoly_factorization': [[[-68, 4, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 53}
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id: 4578791
{'charpoly_factorization': [[[28, -12, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 59}
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id: 4578792
{'charpoly_factorization': [[[28, -12, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 61}
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id: 4578793
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 67}
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id: 4578794
{'charpoly_factorization': [[[-68, -4, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 71}
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id: 4578795
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 73}
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id: 4578796
{'charpoly_factorization': [[[-8, -16, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 79}
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id: 4578797
{'charpoly_factorization': [[[18, -12, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 83}
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id: 4578798
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 256705178793680624, 'p': 89}
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id: 4578799
{'charpoly_factorization': [[[28, -12, 1], 1]], 'hecke_orbit_code': 256705178793680624, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 58, 'label': '7920.2.a.cf', 'level': 7920, 'portrait': 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7GHrwXCGhamDfNTCSvdgO5QMIo9VgeCLVOG5Y7h5AVFzfPZMgvbF0I2z43YNDdmy9yY7Zstl25RXL3Do66aHDvZ5qtP+zx6MObJExGJ6vGml3W4/SWWuprj4Ilpjp3VnLmYcD4F9+Ely83XLvJz71hlx/wUZy9Oc3G1xnLHY6UjWe0l9PoJ/ZHg4LElDpzqXP3kocWXHzm9uOvY2cXPvfhb3hbe+7k//WZD4hu6/Y1m8JXVDoORxdO86/7Hj77k5/7fj8u//8JDL/kXt5/SS51NrHTaLK81WO74LHc0yx1Y6SSsdCKW1xLOr8GRZcHC/Bq/8P3L3HJlg1MXZjl7scnZJc2FZcv5pZjTiwkXezHTsyNeen2fF+0FX9YJVMCFlRrnljTnVwSDMcSxoeYbmrWEmakYA5w4H9Ptw87NHs36GGsFCJ/+0HDpljHLaxqskyJrfRjHYLGsdEK2bfLoDRVCWYQZ0655XHrJiLWB4MRZTWI0c21JqyYIPIhjwWAsOb8iObdsubAaEwQj8GJefE2fl1wrWGjXWV5tc+pCwNkluLAUc2El5swKHFm2vOCaJX7x+1fZMt3m5PlZzi/XWVz1WepIVtYSVrsRq92ElZ5lqSc41YW11T6/8i/C+O2vbN3X2PKDJmjuvU+J5GciExDU2t9sqDzn7W8sg3/ggx/l1hfdxE/+q3/5zg/9+Z3/4rc/+KXLnz25tuvw2Z586XU9LttqSBKNtQprHXtjJSABgRAWLSy+hLPLdR48LLl+zwp7d4xo1MDTEt9T+L6mWZc0PMmg73HgeI0vPOpz4uKYbhxx4NSYzXMrvPmlq1x/eY8X7O1wfClmaSBoBCOOnrV0uk2uu0yyNkrYd1zRamieOQFXbLWMwoRR4qN1xEwL9p8KUDrBkzHag+FYcsveAcOB5PrLE7rDhBNnW+zeomg2QtbGlk3TA1b7Xf7kTnj8WMKTx0bs3LrMDVd1mZkNeeOLe3zHKyx7trRIommOnZniyGmPU+cNpy9GnL6YcOSi4ORaxPOuXOQXvr/H5ulpTp2f5cJyg8U1n+WOZLWT0OlFrPUTVvuWlT5cGChWuzE3X73IP/p7F2XDS3YtXzy+eziMX+g19tTrzZkvPnzfX/A77/2jbzZkNrz9jWTwP/6TP+eqy7ephx8//G+PHj//sw89eVydXwlZGmnODQzX77zAr/zYIjfuaXBheYblToOVTo2VjsdKV7Pag9VOwmo3ZqUXs9SBU6sCXR9x67UrfOcrQnZvarLWb3Nxpc7iis9SR7DScRJhtWfoDg3dsWUwiplrR1y62QCCwLOcvughZMDOTYrdWy1bNw24sDrmiUMtnn+FpVFf5enDs7SaIWHoMTdjGI7g6ktHfOjOaa7aETMeW+anJFEypFULeOb4iLrX5MYrY548GnJh2WfbXMDuS+DSLSFKRZxeAt+zCGHZuTlmpiXpDQP6A4/uwGOlq1hZg+WOYaWTsNRJON+B5VHCpdv6fOdtS9y6V1Pz2pxbarO0WmNpTbPSFax2DGu9iNVewlrfstyH8z3FhbWYW646z7t/bJkrtjVZ7rRY69XoDaeRweWJV9vyTlG77BdteDZ52Sv//jcbOutuf6MAfvDgAWr1Wv30qdOXPvr4M28/eercfzh4+BSDsaQ3gtWh4OJAcbYX84LLzvOff2yFGy6rc3F1huW1BqvdGitdj9WuZrULnZ5hrRez2otZ6VoudARn+xZEn9tf1uGNtxguu6RGGDZY7dRY6/t0eorVvqA3EIzGljC2JAkoaQk8qAeW6bZl02yE9kYcORfy1OEAEzd5/QtDtLfGI/um2HUJfObBmJddF3CxM6SmFXESMTsDceShvZjl5QYvvanLZ+5vsfsSePjQGI8Gr7vFEIshTx1JOHa6hpY+m2c0M01BPRD4vkAJiA2EkWUUQm9gWesbegPD2sCw3LcMk4Sd2we88UUdbn9JCKbF8toUF1fqTm93NasdWOsldPoxaym4VwZwrqtY7Ca84MoLvPvHLnLNzjpLq9Os9hp0+gHdnsdKVxA0ttOa3vxvtmzb+6dbt247OR6PhldccdU3G0r57W8MwM+cOsSmTQv+wUOHf3Df/kO/+dUHHhera305jiyDkaE3tHSHsDaUXBxKzvUibrn8Ir/8w8vcdHmNpbVpltearHYD1no+qz3NWk/Q6Vk6/YS1Xkynb1jtWy72BOc6hpnpAd/ygh4v3huzc7OiXffo9moEngQUYSwxRmAsDEaAMMy0Rhw6YzE25I6Hm4wHdS7f5nPr9QMis8bdj05z4xUeh8736ay2edH1A774SMDmWcu+E5b/6y1d9h0P2Dwr+cKjiluvVqwMuhw9NcuNV4bc/dSQeNzgxdf47NkxYhj3+fwjChLBkdOadkOjBQyGEmMFibFEMSAN2jd0+pZmK2LHJWNecvWAb3l+zFyzxoWVKZbX6qx23bFZ7Qo6fej0Yjr9mE4/oTOwrAwk53uCpV7MC69a5J0/vMgNu2ssrk2x1mvQ7Qd0Bz7dvqY/VPRHYKiZS3ddZy/duefHd192+e8tLy+G117zNwPkfyMAHkWxHI+Gb37gvs9eHifRux9+6GGvkzLoaBwzGBn6I0N/ZOkNBZ2h4OJQcrYT8+KrL/KuH17k+Xt81rpTLK626PRrrPV81vqaTk/RGUCvb+kOYrr9hP7Q0BlYFvuCxT5EyZgbrhiyZTahP7C84UVjdm0xxIlES0sYwV1P1Dh5scYlMzFPH6mBabB3u+KmqwxBbcAjhwYsLjW5dleT9vQq9z/pcfMVNZYHa6yuttmyxfLgPsX3vqrPQ/s02zd5LPU7rK7MctPVA+5/OmG2Ps21l/e52Onw4LPT1HWTF1xlufLSEcg+TxwTbJqNuLAYcfcTHqNIISUkxrLrkpBveVFIr6/YOmO46QoIwwYrnQYrnYC1vkd3oOj0Jd0+dAcJ3X5Cb5DQHRjWBpaVoeRMV9AZjrn1ykV+8YdWecEV7uLo9Op0BwG9gUdvqOkNFP2RZDAUdAcJa92Im55/c+T73k9++1vedLjeqH/S0575ZmPrm57JDMcDknjw/aePP/IrF88dnF1eWaFWUxgrkMIisNj8OnQWoBAWKS1Sah46uJmfea/mLbeu8F2vWmH3tpDzy20Cv0498GkEHs26pleXtIYeU03NYJTQHyZsHhuGY0tvFLCyWOP0KUsYG86cjwkCCwh8ZdFSMBgqBB7xQPO8XYI9Wy2XbhswTnp89iHF/sMzvPb5ATddvcoHPmvxRYNd2wY8eb9i27Rivj2gpuqEkcfFHjRrmu2bBY/vD7npyjqvuHGJ3//UEN9r8ZoXWrxgwJceDPnMA02ePVbnsq0Ndl2SsDATsns+4rpdCUoZtLKApREELEwHhJFHb+Dz9CHPlSgMHRD7Q+iPLP2B+9t7w4T+0NIdWtaGsDhQXFi1NKY6/MTrF/n7t4654bIm55badPo1ejm4VcrcksFIMBhbxqHFWMH9X33Im52d+5XZ+c0rr3jJLf+82x38frvd+F8X4OF4gIAfOnfi/ncd23/nbDLuUfN8IHVFEO4jigQBCAFSuE4aJS1KJvhS8uShBR472OTQ2Yu85SV9XnLNiOlWm5VOg2a3Rnvo0x9od3JGkuFIMxhrt0KEhjCyRJElTtw9jH2sAakEnhbUfMF0SzDTgi3zhu2bB8zPdPjcI3DPYx7STPHa53s8b2+Pe5+NCEdtbn2eoDMccnG5yYuvNMxPD6jrgFGsWOxGKCN43pWaRmvMowdqvPymKV50Q49HDyiwUzz/Gp9/+KYVvvh4yBcearLvZI1LFxRbZuvMtBpMtaAegKctSoKxsO+YIEkEUSwIYxhHpKtgwnBsGI0Ng5FhMDb0h9Adw2JfcrEHYzPi1Teu8OaXdPie1xjiuM35pSbdfo3e0Kc/9OgPFb2hcsAeCYYjy2Bs0mPofv7BI2c5ef6zs71+/P+85U2v0L3e4L2t1jcP5N80gMfRIlKE/3DxzN3vunjyS5skA9qtAD1yGUIH78zyUwghkJIU3KCURSuLpwx1T7A0qPPhO7fzpce6vOy6Nd7x6jWu291nbrrB8lqD3jBgMPRSYCt3DwXjSBLFgjh2S72r3XJBpdZQ86FRN8y2IrZtGhDT59CZiD+5u8bRU02mgzo3X6N58fVdHjzY4Y6vtnnhFTUuvWTAh+4UKBHQbkWs9ccYC0rAQntAt+dj4jpvftlFPvyZBnsu1HjjCweE0TJ3PzVHlNS45ZpNvPHmLlfs6PClRwc8earBE8d8ts9KZtuCRiDwPXcRSgFCWIwFYyxRnF6skWUcuQt5FMIwhN5IsDoWrPRA6BE3XrXGO75ljZddkzDXrrPabdDp1ekNAvojj/6wWAkGY8lwBIP0whmNEoahScnCEhnF8vkO7//wFzd1xuJd3/Hml9pT51fft2PLzP8aAO+e+lXOrl7G6cNf/IG6d/Hdg7XH5z0xpFWvI0WcM7XICFxIhBAIIVFSI2WCUiJdng2esgTaUteC1ZFiuTPDR+5q8sDTfW69YY13vGaNG/d0mEvqxHHAYFSjP/QYjjVhpIhiSZxIEiMwVrgsqLAEvqFRiwn8EN8bc2Z5zKcelhw+7XPs9AzKBOy5xOfq3Yrn7+2igkWeOtJi23SDay+DLQurrHTbXLdNEhvL5x4KGA8k082Y190y4pN3R5w83+Kqyz3OrY145qjHjs0z3LB7kXuf7HH/M4Jx6LN39yx7dwTs3d7jyLkVDp+Bh/Y3OHS0SUMLAi1pBpaaR04M1rqLNU4gjCFMBP2xoDsSdCMITYyxI15wRZd3fEuXl12XcMlswGg0xXKnRq8f0B/5DIaa/kgxGCmGY8FwJBmOXd/oaJw4j3/swD0MDaPQMgxhnCjOne3w6x/88qYnj1549xWb6vH7/uAvPnDPM2u8713f/3cX4P/3L7+X1vbPUO/Z71HxyV8b9o5PCyz1WgAiAhwLubtCCBxbS4FSAq1U+mjQKsHTAl8bfM8SeJaGnzBdE/TGHqvdGT56T5s7nxixeWbA22/rsHfHiNGwz7W7LTu2KMaRR5IokjTNL7BIafB0wokLlmPnBWtDwyfubXBmaQYbeszUFFvnNDu3aC7bBtfu6WLkEr/7ySYrK1O8cK/m2j0dvvSEQMQem2YkzUbMIPKRVoKVKO3TGQkurAiusQ1ue36P+x6ts3Xe54XXzvJ/vGmJ3/tMj4cONOmPPJbXWuzeWueqSwbccmWPb395j7MrK3zi3oDlQcCJcx5nzvh4SiClRCAw1pIYiIwliQ0zcxHXXzNgPI7Yu2PMW28bs2lKMdsKiKIa5xZrDIY+g7Fb5YY5sKUD91gwGuNWgnHCKDSMw8Qxd2RTkMMwEgxCQWg15y50+YOPPzj//Ksu+bVbrt8Sve9dl//RhWO/wubd//zvHsDf+St/zL/+jjeIH/rX4m2ztWfe87ZbH21cd5nHYBSkGUhRAniqtaWTClJKlJRoJdAqfdQCTyf4WuB7hppnqUeWRmiZqiXM1AWDUNILmxw73eSX/2gWTIyIY55//YDdW0LiGIw1WOuSOFIIpBJoz+fASZ99h2s0a5qWL5lvCBbmJJtmNVsXFDsvSbhq5xqJWObXP9bmxMlpXnilx95dCcO4x1efCpiue8xNWaZbIY26k0LGSDojxUrfstxJ6PTrvPTaNR7eN2D/ScV0u8Yt10zzw29e5jc+Do8ebtIfWtZ6mgsrbbbMN9g0M2Ln3Ih/+bYB7UaHJ4/BgVMSz7MoZRHCANb9ZyGOYdeWhFuvi0kijygOsLbBKPQ4v+QzHLsVbRSqXL4NQ8FoLBiFjrXHocvKjseGcWgYRSZ9L7un4I4EvVDQiQTDBOJRyMrK49Ovft7Ce37h9HL8yKF/8ZHjz87bXdf8wN8dgP/jX3wPqyZU/+x9f3b7uTPLH3jfvcu1p/Y3+OUf63DVpREDlSCEQQiDFD5SWpT0UMqipEIpleptiaed5vQ9xdiTjENDECaMI0s9MowjQxha2jGMI8M4hjAWjCLJOAmIkhr7Dzd5Yj8k1mLSS0sJ8CT4ytV8tAK49hJo12GqKZlpKeamNZtm4dItYy5ZWCOyK/z6x6Y4cnSKmy5TXLZdsmf7Kl9+JubC8hTP3y2ZaRtq/pBABlgliBOJsJY4CVnt17iw7HHT3jrPu7LHvY/W2DwjaNRa3HSl4SduX+bXPm545kyLtb5hradYXNXMTzeZadeZaU/RbkQsNCN23hQSeDGejlEqQQoXTFjcRRVFiouLmihWRLEijBTjKH0MJeNIMg4lo1AyDoULUEPBOLSMQ3dcx2FCGKaaPnLvj0IYRYJRBINI0A0Fa5GkHyaY0ZDn7V7lP/7wIq+48nxjabH1gau2/brZcpn8WP/crybNS/7p336A/8Q7P0yj2VAXLi6+9eDhs7//2IHzNdVo8tkHF/C05Rd/ZI2rtycomSCVceBWJr17KGnxlMXTCk9bvFDie8KdBE8w9hVh5IAeRZYwTpwrEpfuCcSJJUkMicHpbUMO7kwKaQmeB4EW1AJBI5A0G4qphmRmSrBpNmbnlgGt5hofuy/k7qdmWVtqc/2lip2XeFyxY0Qi1vjcQw2anmZhRtFqjHjqCDx7VHPdDstgrLjhiojr91jOn0tYXPUZjhq8/uYeX3lyyKEzimZdEvhtrrvM8Is/sMxdzwz55F3zLHctOzclrHY0023FVNOj1fBo1i21wBD4hkAnaOWklkxbK63FJayMIDaSOBHEsSCKJWEsiCLJOHLOSxgJwsgShjCOEsLIOSQZcYyj8t2Be5iBO5J0IhiMI2Q04KZdK/z8D6/w+pthtdsgHu6vtRr9P+ye2/kPrNj0Z2un/lsyveMf/e0G+LaGkYPRynedOnH+tx5/9mxN+j4aS1Jr8pf3QzhWvPWVXd726j4z7YSeNGiZpDrb6WFPa7xIE2jFyHNMM/YkoS8II+FOTqSIYggj6RyEuLD94sSQJM5dSGzqlKRuSebOKOlkj68FgS+pBZJmXdBuWKZbhs2zYxZmesR2jY98RfJ7n5ljU63G9ZcKLr3EY9dWw85LVvnYVy0rKzX2blHMtKHViLhwXHJxNcDfDeNIsDAlmZ6GQ8csq13D+aUaV+yq8arn9/jUPTXmWhD4PkpOc90ewY+88SKevMhf3jvDs2dqbO5GbJqOmWoqWnVFoy6pB5rAh8ADrZ3DJAVIUQI57sJODCSJIE5IgQ5RYgljiKLEkUJkCLPHyKS2Y+bKpBZkLBhGgn4k6MaSXmQIRyFTQZfvfP0yb7utz2tugt6gSRR7eFoy6ByrMay/JxKz2tL+YxzP/O0E+Hv/4OMkifmBu+4/+p/PHD/VvmRKEyaGvhAIoRmLFp97SPHVZ2qcW13m//r2ATPtmHFQozuooZWPpz087eGHCaGn8UMnTcLIpdId4wjHRCkrxTFECSSJcxKMcQGXMTbr4UzB7QDuAleBpx1AagE0aoZWPWa6FbMwPWR+Zo379of84R11DhybZteUx54tsH2Lz/bNcNWlXQZxlwf3takrj4UZxXQLpltjZqZifF8jhLu4hmOflW7E2sDS6cdcXPW5dEuLF+29yB0PDThwpk0jiPCUjxBT7Nmm+L7XLPGCqy7yh3e0ePDpaZb7mk3tmOlGTKMmqdcUgScIPInnuVhFKVL70KHc4npYjSEHepyYdHVLrcXYECcO3HEEYWyLe+RcmVHsSGUQCbqxoBfDaBRj4iFz9S4//h0r/N/f3acR+HR6DUbjgCj2CGNNFNUZjc+3ZdD69ebsDf7+J//i9/be8NdXpPXXBvCV1Q5Kqh/67d/76LtOnjo9164LwtgwjgWeBC8WdIVmKJusjTX/+U899h1Z5c0v73PbjT02z4f0unWG4wDfiwl8j3GoCXxn72UAjyJJGLtlN4pTTzshtf5ImVtiLAW4XZIyZW7QyiVMfM9S8w31WkyrFjPTHnPJfJcLnQG/+QmPzz08y8pqk8sXBJduEmzb5LN9k2D31hHaX+PDd2uOnmpy5WbJTEsy1UyQcsyZRUugJVKAtYIw0uzc1OUhEroDxWrXcmGlzpXba3z7bR3+7Es+xy8EeDpCCA9jm0Sx5Pm7V9n53V0+9+iAD31ulkeON9k2I5hvJjRrCTVfEHgC33Oxila4wFmKPBdscReZsTinJXGAz0AeJ07SObBDmLhalzBLHsWCYQy9WNKLYRgaksGY7fM9XnHTKt/28gFvuNmgRYPVtTrjyCeMvPSuiCLt9H7/7JzXuOzdVz3vdjUadd5bq/31TNz6awH46moH3/f+j09/7u53Pf7EM5t8ZZFCpI4IqLQ6z5OCvhT0ZI1OqPnwl2vc9WSPm/Z2+e7XDHjjCzvMTQcMRwHDsU/geYSxRxjpPFCKY0WUSOJYEiWCOJYkiSAxotDaRpCrEptlRF2ySKXJIt8zBH5CPYhp1cfMT/cZRkO+9JTlT748xYNPTzPje1y3zXLJrGTznM/WBcn2zSGXbVvlyeNDPvGVBaaUZmFK0G4K2o2IziDhM1+t0fKdO2QsDMeaN9865tMPuJqYTt9wcVWzfVOLt7ykz4P7e+w75NMMYpQUDuSmwSh0Wv/7XtXhyksu8uG7utz/7DQnV+tsaQumapaGb6hpg++BVgIlSRNkaW4hhbpJpZoxxQoXp0B3BAFRIoiSFNiJYBQLBrGgn+BinjCkWR/wlteu8F2v6fL8KxM2z3gMR026/SAH9jjSRFGZmBRhKDh9Yt8mr3b/uy676uVmMOi+v9H4q2+c+CsF+Mpah3jcx9Pi++/5yr3/6Y4vfmmu112jHkiiOEuzW7R0roUW4EsIJPSkx8BTnO4GnH2gwQNP9fmz63u89VVDXnfriNlpn3AcMI7dQYtid9CiWBEnijhJEzZJAXBjU+Y2RU1ZZkMq6eo4tDb4XkLgR9SDkFZ9SMKQLz4q+aM7p3n62BQiCtg1Y7lk2jI/rViY9dkyL9m6EHHpli6nFnv89iebxOM627cLpluadhPajQjhhXSHTaZbFiEE1kIUS2YDRWxiepFPb5Cw2lWcWaxzzWUtfvTvrfHuPw44sdhEqyi9MDRxXGMUSrbMBTz/8i7XX9bnmRNn+JMv17njkWnOduo0A0XLh6Zn8bXFU6ClS+cLUa2uM4A17qJLjCCxECfC+eeJIExckmiYOMtvGFviOMZEY+ZqQ17/6jXe/uoeL7suYqruEUZNVjsB48gninXB2nGWVHOGgIuTJMNej+UH79nU6ev/tPeaF8SnT5//g9kZn0Zz9m8mwDvdIbVa49seeuTR37j77i+3h4MejZoijG2ud6W0qNgxupYWnbhiJl8Z6olgoHwGsebiuMZfPtDk7qcH3PKFPv/4O3pcfWmXTdOKdkMTRj5h7BHHBciTDOBGYqzEWicJbB5Qpql+ZV0Qq2MCP8ZTId1hxGI34lc/VuPYxRke3TeNNT5zdcGmecv8lGCurZib9tg8J9kyF7NtYcDc9Cqfe8zwyLPTXL9dMNOStBqSdsPQrIcIb0wQaLRyv99aSBLJcKwZjiJiI+gNDb2+ZaXrcX65zYuv6vOia9b48Bdq1FcUWrokmLGaOPEJI9fjOT9d4wV7+rzg8j4PveIsJxYlf3jHNBfXGpxeDvCVpOkJ/EyGSRd45kSeSRUck8dWEBuIjGCcwCiG0FhIYogjpBqzdWbI9Tvd+bj56oR2XRPHTTo9B+w4BbYDc2ZLSsJY5XIySgEexoL+oMe9X/nynLX2N26++cbV4XDwib9KTP6VAfzpZw+wc/tm9R/+64cuP37kUDsZLONpjbUGgVsipbTIWKCEdbUeCehE4CmLH1tqiaChBEMlGOiAYeKxHNa545Ep7nt2SDMY8w/e0GH7XMyurUNefG0PLVyLmBBOrrispKuVdgVbKbixCGlRwnnmlhhkzDPHJA/v13zqwRbPnGwRxg1aWrFQt8w2LTMN63zwtmZ2SjM3LdgyG7N1YcglC6vc/fSY3/3UJi6Z1iy0od1UtJuCViOmHoy576BiFGq8pgOVtYIwltS04sYrhzzw1LQrfBomrHU9ltYCLizN8KNvvMDppWUeeHwBTwIiwkAOoHEo6Q81M60a0+0mL7pywCuuH/Ddr1xk/ynDpx+s8eD+OgePNomFZjxWDCKFyksfyoFnmhOwhthYrDF4ImHKD6kR8aKb+uy+ZMT2+Yh3vG5M3Zc06x5h2KDT89OVVKeEo3KvPQP3+rtI639cCYZM1lg5++X2sWePX3758/6BOnf6cHLJ9sv/5gB837PPsn3rvP/AAw/94KZW8p8PDZbQSiEkaC0ce8uiGlBLgYpxEiGx6Bg8KfCMJUgsNSVoJIKxgVHiMUw8BkmNXi/hP314BhtHbF4Ycc2lI+amYt76qiGXbgqJIpHqbQkl5ibVn1IahBR89K46Tx5pIrTmxNkGZy40qNUVU4Fgumlp1wztGrTqgqmGot1SzLQ0c9MwPx2zeW7Etk1dErvGR7/SZthvcsV2S7uhaDUkrbqhVYvxvJDPPVBjPJB4m1y3aCZRmnXF628Zcs9jhv5Y0h8mdAeatZ7m/HKDq3e3eOvLujz6TIMTKy2UNECU6mWPKFGMI5eY6Y80nb5Pq96gWR9z9fYRL7xqxKmLHY6fW0N7CU8c1fzZlxsI5QrXmJw/aA1gwFqiMGHn5pi3v2rIfDvhqp2WzXOQxB7jsEUce6x2PeJIESU6jYMcoDOAu5hIpq6WSJ+7RFcG7jhxK4jSmlNn+nhN/z+P5SOD2c27f+/gwf3hlVfu/ZsB8PPnTrO2tnTlyZOnf/PpJx+R7aYCBNZYlBAkqfaWwiVT4jQFHxuBjp1OjBKLlzgNGGhLLbHEiSA0ljARjI1knEhC4xEZWOy3+fKTBkvCXzzoRjZgTXrPsnipRSayikSJVIo40kij8bSkFcDuBUvTMzQCQyOARiBo1iWtupNDUy3JTBvmpmIWZsZsXeiRsMqv/nmNe5/axJ45mGmk7N2QtOoxjXpIszGkXm8QKImSqQbHyYEo8hgNBcNxQm+s6I8MvaFxLXNNn9MXpnjpNWN+4m0X+JU/05xcCxDCYG2ESayz3SLJaOzKWFtDTbPm06jXaAQNakFEqx7y/CtCfC/i5iti3vHqAVrFaRLIIIStivJU0hkjEUISeArwGY01y6va1e0kWcyT3mNZxEBp4VoG7szZyhJLcRq0Zq+T1Kq0RjIYWc7f/6i85nr1m5vWBl8Jx+On/yqw+T8N8Afv/Rgz07J+5Oih208eOyKm236aQLAkxiVYpLFphtIlYKSyzklJnDaME9CJ632Ms4g+SaP6LLI3onhtBKGRxFaSGE1kApLU9irf8iylAC2Ey1QqqNUtNW2pqYTAg0BDzbfUA0HdlzTqkkZNO4A3BdMtw2w7Zm56zKbZPls3LfO7nzJ86I7N7JhWzLcM7aai1VA0G9CoJ7TqEeeWDUfOBdR8d0FDVuknGIWa3VsMW+ZHdEc+w5FNWVyy1tO06jVajWne8eqLHD13nvd8YhtaaiyGxCTExhLFmnGoGIauKGpQkzRGmnrgUQ8SOj0XY/he4hJmXoKWrlFCSpfOz4rbXOmKK+F0IBd0TFplaVxckyQSYySxKeKdOBGlAD97XnqMRfp+Bm7y17EBk53n2BVz3f/AY2LHzu7t23fsPPL7H/zI8B+8423fXIDfct1Zf3nl1E8fDDs/reVIthqSUQiRsukf4vzVRDrAKwkqESSpPIkN6MT51dkVHRubvrb5e8XzolLOebkiD5TKmhtS3Z+vHAYtSWtawFMCT1vnG2tBLZDUfEk9UNRrilZd0mpYppoJ062Y2faY+ZkBl25e5sGDYz5811ZmagGbW4Z2Qzhw1yXNmqFZi2k1xjx4AJ7Y3+DyBZvq3iJtPhwrbr7KcsWlQx56eprB2DIcJfSHOgW5R6NWp16b5jtfvsITBy/ywL4tYBXGJK4cNrbEkc3rSYZjTWNkqdcUNd8Q+B6BnxBog9YJnnbZYaVMatm6lZW0cyqjhSI4dyXEJnOkTGa/lqzYDNjGgbZ4XQJykn3NkVOS2pBJDm6XZAojS68/kIPozL89sSJ95dffCYTfNID3+gO5Gg5+/qEn3vPPFy+c95UK8LQ7iVII4tQ1SbK7ccBWGeiVRZv0uXENtCYhf55kGTebZd4sJs3EZckKay2lzHtlxc1S1VlCR8k0Y6koFW257F/gK2qBoh4IGnVBq25pNxKmmjHTrTFzU0O2LqzywIEhP//7mzl5eprL5g3TDWjXFc26olmDZi2hXovwvRGdkSsW85RFyuKTJSbToj7tesQgNgzSOuvBKKE3kHTqikYvoBa02LUl4hd/sMO/+4Dkq/s2Y1EYa0gSQ5zEhLEhjBSjUDEMJPWxouZLAt8S+IpAGzzP+f1aZbU+6aqayhQhbLVBN03t25REbFrLkqSAT0zx6MhIpo+iAHj6PEmlZ5yRWArsJFu1E5OC3GARnDl7zr9+of2T/+xHbvd+8Z8O/00Q1P+H0/n/wwDvdnuYJH7nvffe/0+feLJTa9cDl/aWFk+LwjkxAiMFscqAbDHSgTtJwW2y50ZgjM3TyCb3aMEa1/eXpCWg5TsTAM8aJkQGbpHVlDtJpNNWNE9LAt8NAKoFbiRDPbA0a4ZWI6HdiJhqhcy2h2xdWOOB/QP+3e/Nc+DkLDtnncPSqkuaDenYu25p1BIatYgoCfngF1pIpfCkRYnCJjQ2W8I9vu+1q3z+kZBeGDBIAd4fKnp9RSfQ1PyAwGtz1Y6Y//APl/m53xPc//RmjJUkxqXVo9gVmo1Dw7jmyl2DQFDzBIHvMpu+tnnGVivjZKIsypJzgBcpTyAlEVwuwbktaSCfATidOmDy5Bopu5OvuNnqXADcFo9pEVy20gsB89MeUfd87cGv3vfPXvbyV4h+v/czzWbr/1+AXzh3FGvNi04de6Luqzhdgi1auUeZFTEZSCQoI0ikIMnTwxm4M/nh3jN5rUTRfuWALlwdRQbq7MBPfK6idzOtM5EUxVRpHbkDuMTzpKvf8AW1wM08aQQJzboDd7sZMt0esjDd4cH9A37+/bM8c2Ke7TOCuWZJmtQ0zZqrX6nXYupBiOeNObM8g6cESprUliuCzCSRxLHikhlLHEd0o1raKWMYjhJ6I0l9oKj5Hr5Xw9NT7N0e8x/+j0X+9fvggWc3kRjpAJ5YojhJmdwwDgy1UDLyVS7BPA88nTpXSrpcgEytWwEifdwA406ukCaFEHlyyKTJoSxbnCSl900hOZMSsI0pzneGg1zGprVCQghW14bcfe9D9fnN21/0P7PjxP8QwPc/+Vnq/rjx2EOf92t6FdUqXAtjLNKk6WGZXs1pU2ySZK8dUyea/I+sAjuTITYHus3kSPb8OT6bFJSSSiClyMGtpEwbJTJ5AjUPAt9Qr1nqgdPPjXpEuxEy3RwyP9PhkUMjfu69Mzx1YoGt04qFpmGqLmjVJI2aolEX1Gvu4nCp/pAH9gn6I5+aIr3InAbPmhASI4hiTbOmePG1PR58ps0gcjJlOE4YDBW9QBH4Ct/zU/08zdU7DL/0wxf5qd+B+/dtIjKSyJi0WbrowRz7ksA3jr29oo5eq+xOKlMKGSfTLO9GIM+SQjYDeAr4JHde2HDlNWksZTJQZ8BOyStf1U1x/i2WEOieXOb3//AT/u1veUPjjz7y6cH3vO1b//oB3lk5Rntm2/TTj/zFbws7fHnNi9BSpfo4W7rSuxSp/CgBXWUHwV3lRomNWbsEaJMDu2gKJtXe+ckQImvhdOBOi4xUDnBQacWgp8H3cJ1AflpgFSTUU3nRqo+Zag2ZaXV5/PCYn3vvDE8c38SWac1CwzBVh2ZN0KwrGnVFI2fvhFoQ02qMuPsJn7VOjZmZIk1ekEDa/Z4oNs0pXv28Pnc/bFwXTWhKIJfUPEnN03jaR+s6Uhqu3mF51w9f5Kd+x3L/gU1ERhOlFYCu7NUxeRDJvLrQ1xKt0yIsKVA6Ozbkny+7CDOpIrKqNIqE0OTdlB6NKT3mK28BbpMDnXWvs8es2jExrnRX6MHL9x049r4f+gdv/bFnDxxfu+aqXX+9AO+unaPfXfqp3uqR74rDRVe3nDYSZEGHMqWrN2WrDOim3HCQX+0p2NPkTMbelUBykrlTpGcZuVx7Swp5lOrurGJQK1x9hrZ4nmssrvmGmp9Qr8U0ahHN2phWY8TsVIdHD4756d+Z5/Gjm9k07bGpkTDVsCm4U/auSeqBY/9aENMIQmIzphcGCCXxMgbPNbhI2S31iyOPpj9y5QJhjZkM5KOEge8YPPClq4nX2Qa0lut2Wd79Yxf4V79luH//ZiKjGSeCMDEpiwtqkSHwLL7neld1Gndo5UqElZTp8Um78rPHUmFWfmGWY50JcOckVCKmMrjzuMpWmTp7L6vVzy6OJI/DBKfPLvP0vmPfdd8Djx0Jw+hf/7UyeG/tJM2pbTsfvfe91/c75/A9kVp/Ng84sujaJJZEiVLgKPIPnZRqkrPRaDYLJm0RiBVMUWQlbXnNzFi7HFSKQh7pdLyEkq4JwFMO2L62efVgzUtS3RxRr42ZaQ+YavZ4YF/Mz/zuPI8d3czClGahnjBVs7RScNdrzk7MwF0PEmp+TLsZsu+45a5Hm/hS4ql0DEZpr5ts+Y4SRWw0tz0/4vLL+hw5WWehQdHnOE4YjFIW1gqtvXQejPOur90Jv/QjS/zr3zF85ZkFRlHdJcNiSyOt4Q48HMh1tnqZvLdVqiRf4ZQUJYCLEshZp1cKkNsqwPMKxWLl3WhlnnwvqQCeEhFaEIpjJ85x590PX//vfupHdh46cvrEFXu2/9UDvLt2Fu1P7zp34qv/1cZL3ybo4WmNsgmJlOmHSmuwjcSogtFNZgGaTI6IdUta5g/b3NOecEnWuSVZk/IEuIVFqswWTGteVMra2uJrg+cZAs8Q+DE1P6YWhDRqY2anBqz2BtzzNPzSH23hycPzzKfgnq5bWnVBsyZyr9w5L8axt+8AXg/GhEnCaFijptxFJkVp6SfTrCINNLXT8nrMOLQMI1ECuMH3E3xP43nSTRWQXg5wBNywW/BLP7bKf/rjmPv3z3G202bUlEwnllZsqaUTBwLPpt5/5qTYnL0zqZIBPP+86Ycu4zxXiOlJyVbVAtxVSemqOUtgtxuwtS1W86QCekeIK2sDTp9d+bZP33F/8sqXPu+fHT9x9viunVv/agE+7B0j0vUXdleeuX3U3U898NOEg8g9bmNKfnbG5GUrKZMmaVDilmubHgBROjBVzVfcqqowOwlu3EOpoCsDdz4cyJXFetqkYyaSHNyBn4J7ts/i6pB3fbDBJ766wFJ/hoUpyUItBXfN6e5GGljWA0kjsCmDO+1dC0Ig5M7HfVYjn7mASj02orpCJYlrfmgHmlfdNOCBAyG9KGAq71g3+GNXq+5rB3CtXEO2kC5Bg4W9OyS/8o+7fPqBIe98/2ZOL80wnNZM+4JWbGjEEERu9LKv3EAjLws0pciD4OyxHKiXL0wh8l6R/PzAhIQsA7sUP5ky+PMk3XqQZwm8is1oNV997DBbt265vdVqfbDXHxz/K2XwJO4iVeuK7sU7/okY30+rkZDYuFR77bKWxsjcJ82tozQDlgE619o5qDMJYgsbapK1y7KEYiiQ89qzWYXued5Uoawrx9VZb6fr7/S9BN+LqfkRgR/Rqg/ResDdTyS87zNtPnXvJkLTZlNbMF9zssRZgJlPrtK7SJm7zN4RWo+579lpBqHmkkb2eSYZPFvdJFGsqHmKF109JDYO4MNIuK71rHN9bFxwqNPZMKm9J9LkukUwPy34rlf2aQVnef9nhtzz7BznozqDmqQdW5raOpDrNA5RNo1LbAry7BiKonZcgqRg8ckdBXOpko2oYFKbl7uHitrzjNGTDYLTxGRee5bVTksbjMef3/ksV15z5T/5/re89LHVzuDQzNTXHwn3dQH+2DOn+E/v+zhCzW+9bPaxV7x093FUc57RGCKpSKR0XqZyutsFjAV7F5KkYO+KHMm0NmkyoQLskvVQtq+EnZAmWVbOVQy60W4mrflOwa1cLUbgRfh+RM0LaTRG+P6AP7pD88t/sIkji7N4QY0tLcFskNAOLM0AmmmHfT1w2c5amhBy9StJuhI4ebLUTeiHPr5S+NLmASalPyW7sLPajTD2qHsjtkwPWRu0GEYiHbfmYgXPS1KbT6V2p3IArwSurvLx217W5+ZrFvmlPxzxoc8tsBI3GQQeTU/S1q4GJ9DgK/JmCJ0lffI5NCLPAmcJoDKpVMVKGehUVmBjq1Kz0OYT91yeiIoOdxlfCA10I83F00uI8J5XEJ7Yartrh6LhMbz67v85gBtj+N43f9uuz37lid/94lef4jV7Y4yNSIxL6Dj9LZGJxMgqwK2tShRrivqGLHjMDwKiJEnEhDTJwG0LNkmzb7IMcGlR0o2eKJg7SUEe42snSQJ/TOANOX4h5j2fbvLxr8xx9MIM7YbHbA1mgoRWYNPUewZumYJb5kmhWqq9A99dOO3mmI/dpzl0ok4tncCVt4tRoDwf42CdDo9izd6d8Kabe7zvs3P0G5p2OnskCNO4QRm0lunYOkog90qU6laFS+clP/O9A67ffZrf+dQsR89PsRLXGXiaphI0UqD7adbZS12mfPXLjmtmH+L0eZHptOt98oyYstKJ3DdfbynmXUTlWqLye6mFXG6+6MXC1av3HyYe3fS7rYU3vsHEK19XqnxNgA+GMfWa4sGHn9zeuXhgz2wwILH1NGOZOIAlCmkMSklMkjG1TBt9BYVLInJAZ+C3Zfa2ImeBghUy2rYVHZgBW2RluDIDuEldk4y9Ezwdu84dHRMEY3w9ppeE/OZHfN7/6S2cWZ7GqDqzU4pZ3zLlGxopczfy9L1M61RSaZJ65zm4fZe9HEchh04H9MOAmYC8Nc/58uSJnnKyJ04kUaRpNzW7t4eoYEQvbDH0BfXIjSb2dTY+w0kUnbke6Xi79cGrYmFqwI9+24DbbzvP+z/d5T0fnWNp2GSoa9S0oqEFdWUJYuvYXDqpomVR3pBlOdcxORvIlUmHBaqxVCZDSkRWZvGMBHP2TuVsZGBsBAZQXp1nj67x1YeO7tmyfcv2K/beeNyaCCE9nuv2NQEeDs8jbHPhknnxkZ2tp71X7Z1iNO4jhEHJpACYkRhjsDIFtzU5uHPGNhlzl4CdAr5gbPEcGUpbsgNt/nsr8kRmw4ISB3CdoFWC70XU/BDfC+mMQu57UvJHd7T56FfmGCUtfN9nzhdM+4amb2kEloZfgLsWSIJAEqTSxCWGUmciBbjvucznsXOWex5pEEYeQdOuCzDzVTFnKXe8wkjheZpX39zjw1/sc+B0k2HNjWYYexY/Bi8yeKEjEiVFKiNkMdyH4ngmRhIbSSPQbJ4e8q++c8DVl4750B0tHt43xeKwyUj5eJ6mpgV1CUE2YCmzV2VabiEogbxaszJZnFVm9IygJh2x7HXB2qLE5imw09dZiXRk3SrS0h6fvHsbR4/u937yn73kI8sra8/r9vqL/8MM3p5qye7ygReOlr80tXvrMrUgSedmWzeFCoMxEpWydlFeKavgnpAl+T0DdipRygxeKfxxPTqOyfOUssnLPZ3udquKSu+ZHNE6otOPuPdpwe9/ts0dj06x0mkh6zVadcW0Z2n7hoZnafiWuk/K2o6564Gk5itqvqDmk1bomRTchsBz+lvpMQdPw5lOzSVWUn1bTZwU9TOuD9KBPDaSMNRsbguu2DHkqZMxg8hjnM749kMc+FQ2WTdL1ICcqNMo3KpU/iSuPvztrx7yultW+dJjPT7wuTYP72uz3GvQkT59X+MrgS8FgXSN4Fq6XeqUKC5SJdKy3w0YfF39yiSTlwjNUGZvdxEkppAssYXYQpQ+NziAewKGoWDfyTG/9cEvT33nW175wltuuuKzfI3hQV8T4DY8FdT88Ldq4pmmnumlhTpxyt5FXULWA2nS7fzyTVnXAVzkHe4VgJcOSIUXKtLEVgr0nSwxqeZ2K4qSCX7mZsiIxV7M3Y9oPnNvi0/cM8XFbhNRq+G1PNoapjzXyVP3SGUH1H2R3mVacprqbl8QZOydAVzH+H5MzQ+xNuLORwNOnKszPyvwpEl1rCgafUtsZ0sWapIohmOPnZsFr75pwMe/GtKPPIaRoOa5flU/nSxVrFIq96sRsiJT3F0WjQrG+e31YMzbXznkW25e5i++0uPT9za4+8kWFzsNhsJn6Gu0p9BCuBZCKfHyKQgWhShJw6p9uAGZV1ywgrlFHoBmgE5SQLt7weDu3zhKcBNzwYwlK6Fm9PjZ5hvfYH/rqYPnrwaG/90AX+0aOtHwe8bLfzC9MHscm3hEsRORNrM1claW6YgGd2CrcqQK9spJAPczNqgJrASUJWC7AZ1OkogU4Fon+DqiVosYjRMOnIHjZxV/8oUpPvtwm4urTfBq6LZHQ0lanqWlDXXPUveg5jlw1zw3k9CVmcrSXaRftynITQ5y33PtaUfOGp46FoDnpcu8LaXoRQUF5SDM1UsL4sSNc75u95hrtvfZf6bBsCZoxIIgsowVqbVnUvbO3JTMgiy0Su6zp1akMSqdPuAxCj3q9TE/8Poxb37xGp9/pM+ffrHB8bM19p9pEK4FxIFmpDVSuam+CtDpY8bkuXShCP7XM2ThGmWgNhSgNlCA2YLBFdrlop2s/dBgwTUrWwEJjJYWeezpx5mf+9pW4XMCfGm1I8Jo/BO/9QeHp6/YJLn5ihHPvzJ2EbwWmMi1/2egztnbSmyJwS0Fs9tcipTBXbrkK4xgS5rPJTWcJDHpLg8JQeAmqcZJwvll+MKXNUdO17nrwTpnVuscOduEIEA1NDWtaGpLUxvnInhucH7Nc+PaHIizu0zvKgU4qeZOwe0lBJ5jb3dhhRxbhH3HG3iyag/mEoWiHjx3FDInxaR9jbHHNTuHXLFpwNNHYwaxRysSjDX4sZsJqEoAl1IgpKwwOUzabyIPZrM+yijxGHs+7XrI9712zMuu73JmtcudD/kcPRXw+UcbnF2ukQw9jNREvkJImW5G4LryJWnGE3LZshHIK4Em5Sx15rZkGtUUoDal5zYV4ZFBeAapDbdcOeKFl4956Z4751/72n/5T/7Z9x57t/R3bxi+PSfAf+33P0MUJ3zwkyNsvJ3dm3tcu2vIbc8fcs3umEtmEi7fFaKBJJQYHFM47S1LoM6kSMb4BYtnbF39ZLYUsResnUsRleAFCVFiOXpK8NRRxRcebPD0MZ9nj9XpjgPGYQCej2p7BErQUNDQhnrJBw50VqeRlc26uvAglSW+r/B9mV4AttDeXuIyi57T+TU/wpqQCyuSsQ3QWuJLiy7ZbBMEnoM8sdV+xzD2EGgWZkOkGtGPPAZaOKcjKgrGtDKVDKTMt8MAsmFHCKyRBZOXBiN5icrHTwzGPltmQi7dHPH8y8YMwyH/4FiHp4/7fOGBGk8dq3H0ZI0oVhAorFQgJIksZYPyJMUGWqUizjMf2ObMXDxm4LZgk2xQCxrDnt0h22Zi9u4ac9sLQq7dadi+oDBmqdlfuuu7EN67/7sY/I//7LOcX+qpj33psFBIVuJpnjgW8NSRIXc8OGbKi7h0W8R1e8e89uYxr7oxBOu85nrTpjpbghHEkZtTkgWSFQYvX/LWAZp0fomnLQiDkJYotAxGjtGPn5b88R0Bg0jx+LM1Dp8KWOr7jBMftA/KQ7UVvhTUFTSUpaZw48xUWnikHGv7nnBJjzK4PYmfypLAh8AndU1cytzTBt+L04xoRL0WcnE14Qv3t+j0AmamBDr14rOiL/FczGZKAaGRjMeK+TnF61484vMPDznZaTL0pJMpGrzY4kWZZ5167DJxdiHlWScy/x3G6krJRJJI/ESRaEXsubEPUeQ5K9WLaPoRL7su5kVXj3nLK0YcPCV5Yp/HMFR86AsNjp33QEgGQ00Sqqx8E6szgE9YRuX0bQXggDWIxCKMxabTEOpNl5AT1vCqmxy+rr0qZOe2hLYWzDVVuhVNnWEYMFo+Ioz/InX42c/Hl1/zum+cwbfMt36zQe+GOT8hQdFRdUwsWRxoFpOYY8sx9z/d4CNfiFmYjbHGctOVIW9/zSjvtVuYMtx4XUizll6gVuQ5sPXnXOTDeToDwRNPapa7knpN8uA+j09+pcYoUowixbnzPkZoIuthhAdaIwKNlhJfCWrSUkuBHShLoKyrAdep56sL5vazvswc3Crt0RQ5e/uewfezAq0kZ2/fj1Aq5MuPKT7+1RbK185uq+jv52bwzAtPkszxUIxGHm++dcgn7uvyoTun6Mc1mqkO9zIdHmVJGZt3C4ls8ExehiZLWr8EcJOOdtCOyT2tiLVGx4kDukpQyg3Sn6nF3HpVzIuvirBizFtfOWAUuXFuf/mVgIf2+dQDwVJX8cTTPt2BTFWS4DlFeb7zhGsNvPHGiPnpxDVBJIa3v2bEjVdEWAMLM5bZaYNCYlEksWYw9BlHAcNRjU4/oB9yw8KOmd/E8qPfEIN3OkPa7Vr7zz/2l1c1/VjVPEs9gWEiCZXvDqKJMSZmbA0XuoYLawZIOHiywSe/7JYbm1imZgwvvCGkVXd1wBumJ8uXeuo6rPUVDz/l0+0opJZuJorVjpmExs0F1iA1Uko8KRyYpSWQBl86IPgKfFXM6HMgF0XDg3aNAFnjcRncjuHTslovY/CkdI8JdIS1IWeWfMJxjWBK4qdpb5VW5VWymIKCvErWad6dbhRh5DHTUuyYD/HFiGEcMIwFde2GYGY1JFlCS8lyeavMf5f7HZmrZYrsqTFp/VAhjeI4SfMGKp3LHhPFCSpyuQStEqSM2T5v0hXDcPWlI0I7RGpDpyN4+CnN2kCicsVSDaorZzotxmrWDC+6IWJqxmBjt7LXlTt2zgXSmFgQGpXupaSJEzdFK07caLjFFamSILzqpbe9qT3ud7tBszrAcz2DJ+fod9S7NzcPvTKmRyf0SEyakZMKK1KQyfKgHaefYmvoZEuQMnTXLOe+3Cz9iRsBvKzf0pMjBCbbcoG05lSoIsiRMrWyMlCnaWdJunFr5huXHnXaSa9It94jB7dr61L4Kbh9TV5i6hg8ZXFt8NPsqOdFBEHEqSXDH36+CdrHk6IIMHN5ItYxeNkfzoaEOrC5ExlGHu943ZC/uHvIsxda9BOPRuw2pXVVgLboxFFZTqAc7GWli5kUkqUCr+xu8loYrRVe4ualeCnQlSySZq5uPH0uTDo4KEELi7AJ8w3Dt77UgEhSmQmIbP+MDc55XmMkwCiSSJPNY4kjSVR25ErGRWJUbkFLaWk2IhaPLHLX00dfubDj9LvjOF63XcQ6gKvBhxBC+tfufBwbwNnBFnzlmMiTWXeOxlpVqmfNNj3K7J30ubIkXgncG+I7Y7cM4NXgRUiZt6Ap4cx+T1oC4aoFPelea0laU5F2j2eFRJrSHBTSndmKrvoC4DKXLYFv85Y23zelwTkxXsrevo6QMuTEecFit4bQmkBSkSey/GeVTndZOlSAlzodYewx1x6zc8uQ/efHDBPNKIEgEXiJxYtTHR6TO0tFCl1VOhWy2M7ZuFmdtShJI4NODImSKJ1tX67SYjW3rYySxV1Ig0pBLrLfjZuSJaTNXa8M6JkDthHAi+ReEZfltjKZnVzkVsqg1zqmURth5Sp/8uUjHO1/zjdmfb5nHcAff/ZppBTc/1iHZ45Nu5YiBD5u3HGiSinVrK4AVSqZLAP568kS0q6cUmG9EEiKFHE2ZtkTFk+koM3GL6fP8/dSsi9KQckbbH0lHNgr4Jbu0c+AngWfKbiz7h9tconiaadPfT8iJuLT99W5sFjHm1L45RqOsoPChCItp67z8uIi6TMauwm2b3xJn/ueHNGNawy0ph4bwjSdrmRREJUVnLmNvLLflAWaIrclnXWYzlSx5B1X2ghiJdCJTHexc7U8cQr0Iplm8gSblKaUeEufyzK4U5s33yvmOc5/qdAOytntqgNnbPViyFaSGy4f8tZXHeLYxbBYPZ4L4P/P+z7NY0vNl37ys5+++e4HfDqmQVCT1KQDmChpSGfSi4p5n191fP2NV3JBkiULBKjsUVh0ekFl1W1KZPNNCo2rMmDLdKBnKk/KwM7noChcP+JGAM8Czkx360yW2FRvV2vJfS/C90LOdwyPHq6D9t0IaGnz9HzO4FRZPGOuwgcu96XK3BOPIo+bLh8zNz2ks9pgECsayu2M4SlQiRugpKIywHEgz3+RnKjUFGnfZFqjrwyJEXhGkChJogyJEsQpyMvFa1k5hMxAXgJ1VjIhMCnISUuas0x0kbSrFGNU6lfEerDnr6uTgrN/E0aaK7b5/Nvv67EyHN+8Y9ftL41/8bZ7a/PftTHAlTXYcPSt3V7rxkjWmW14eJROWunjWVvkNLMNjrLnkIuWKqhT+6RsJmVXefbzC3DYnMEnSzh1VhuR1oBnpZ6uuTjrVHGyROXdKwWws+Zbx96p5tbkejuzBB1jF+D28urECEHEp74ScN/TLWSg8aVw87fzCsLyfJZyHXVxgvLanZzFnc5MjGI48njxtUPe9LIe7/lUizAJ6CeSWmIZx6QrV7nqz6RyzkxcUM/F5GC0zLuvMnAnSqKUcYwuZTpawpRKkcs1QLYAeSXbnDF5tkiXZKpYT+Zl8BY1LGXZUmLv9OeJNGaJYg8pxtSbrRu7/ehbrZX3bsjgx0+cZmaq+bo/+ugXvzcZLLO9LUGYShpdbPAhClDbHPiVkzjxb8tzNzJwZwCQJVBIipqH8miDjLndFiTZa1IGJ2/DqrB42g3jqSq43TiFCeZOezb9tL3N01nDQVy6R4RE/OmdbRIboPLsZTnALPoaM2ejosGZaNczrtzYdUkpkkQj8Hj7qwZ88NNj1kzEMKkxTAReTM7i2cz1rOjM2YWT66csWZOiBHJBotPRDSoFubYo4+SKG7PnKhhd9ljmpcmFRVmu7izKmPOmlBzohVRZD/AKDbrXuVooGL2KrCKmSeKA0UrIVGS/d8eeN961unz28zNzW6sAH44ilA4vX1kb7On3urRrPrExJe2z/kPZ0hpTBvPXuglRYvKSPMmBPlGemWvxCc2Zgb4820MpUWjxtOKuMuwmBbZWonBScjvQddy7xmSbMncRYOoSewdeyKOHJYfO1rDKQ0mJLw16sk6jJMAnXZTsnnc6GVHyqwt22rM14prL+nz1YJ1I+Qxj4SRjYtHZZgIi7cKJUx2OdHKh8itFicVFSRoVzb1ZP61WJp8hqVLpV4A7qwWyaZlAxuTkq4cogRuRTczamL03uhUhnNj4eRmD1vn6w9GAdtLbIxhdLkT4+ex7coCfvbBKszdirTdECFfuqYQrc1nfG0lFjlSvqa/9scvSJAd8GeglcKu85ruw3QrJIlz3vCjA7YJMkXeL6xzcsgLw8vAf121PDuw8W5kzd4KvXWLHdQVFWCL+7M4Gy8t1RKCd716+CCdrUApyqliE2TSBch137k0btyPZ/Kzkba/u8ejhNuOkxkD51BOnxbNyViVJwZ2tFSb1xMvRkKwwonMmbOkCKzf6SpTJViSbP5f5tuqpBpfZfkeZNJFFc8Qkg080rRTpvo2t4wq2SgxeUQ/53yEQGKwZMB4tkkSj/N/mAP/Ah/4CJSUXltZo1Jzazga2bzi6oRIgrLv2Nrxl/n8hTyYey4Aus3hlvFjB2LLM4EqUWDyTKxKlqwD3dToAyMu2DkwznNri5al4kz5PKnetXOfOsyfgI3e0GEsfJVWavaxeiJMZzHXLcunkVXV4qsUTRZxogkTztteO+P3PDnjyaJ1IeQykxE9M6h4JZDq0Mh+/JkXuZLibSX9Xdd+iMpMnBnRuIbrR1iotCVCJLYZ15nNZRH5BxxN63J3PcrEcJSbPQP6NrPeFPi8AX3SBUUqUxYnP+TOHWbq4hC1ZHBrgiYNnueGKSxr/9p3/bffi0jKeFNg00Mt+eLl2e1KyfI30TekPmny+Xns/t0QROXAmxyHLEmNnQWY2tUnrbJPXVHurCXBn6Xsva0w2bmZI3iKW9XTG6T1CeSGHzmh6oQ9Kp/LETpTHTl641QNSHWg04YWn3ThF4kfT9ARXbRvx5KGQxAQMjU8tcTXburTvUZSxeM6WWatAAXIHEJmvGtaAzgebuveyganakHYQWaQpJgRk07WSrLs/NwCK4DIPPCfOd4aYdQ0TE6/txJOq05KVtBQXapLAODbMtOZ23/qqH2vE4+8b6GC3A/iRE+c4v7j2Wr89/1NLa0/hKffbpCrAXB4NUD5R5WV3EtwVUKf/K39N4PI5ZSAUwC76GFWJFVVlqGYGcooaaVUCdf48TfIoUi/cgdsBuBgK5JXlSZm9VdrX6Yes9Az/75+3WB7WEIHn5Im0lVWlGJzzdURbXnOUNY6UGdw5KnGsaTc0P/7tPb70aJvlsU8oNUMp8dMeymLkQ8rg5Xp6YfIyWotJwW2wyAlnRaQMbvMgPQO7kiJlcCeJktxFIZcphQ4v2gkLmZIFnoXQqBybDVa5jQE+6bIUYLcIPNln65bmT417j98bh6O/yBn88cefoRb4HD58giiKCDw//4XlpXTy5Hzd28QJrg52nGBtirS2m5M3KVGqg2lyYEuBVMX4MVUCtZYSnUoSnQM809wmDyo9bXJwezqrv6iyt6cifD/kT+70eOZIHaSHlJIgK40tWZv5HvHpH/mc1YQUbF50lxcgj41MN3nyuG7PgG97WZff/2wNowOG0ieQIk/6KCmISgHdJJOLMpNXMoVFTYxRoKxbFYx1Myaz2Y4qHaZajJUoZtEUk2ldH6eQVXmSOysVDBSvv5HbOsDn2dCyuxeztnwKhEcSj8kBvmXao1bzudhW1H0HjirAq+xtLXnx/tcEdsktcW9nhfl23UCZimecB5aiYPOcIb8ewGUBcFWqodZpXYpHLkU8VbglXmk4UKG5HXt72k2tWu0Y/vLLLZY6AdRS90SUgrHnkChkNSLrTtIGtl15KkGSuSmambbi771ywCfuG7HcDwiVZpjI1J4UqXsjimZsOZlYceydvWVyNs/GOQh05qyo9LlMX0uXwc6OexnkQopS9302xDOVJhU9LibkSuZpZ5ixCLsx2m12QUw6eiVnRQhIEk1v2MAbuZ3gAPSTTx9kYX5m1533PPQTp8+cpxYolJr8DWK9NNkY13lbpSi9rpzsEtCrd7GxRMkSJxVgV2d/lztc3HB3quDOdjbImFuVmHsdg2fjJoqRE1q5zOWx44KDJ2oYAoTUeXNuUT1Yjh9EydUo/vhyLUoO8iwdnafsC0fFGBdsYjV7d4bsuWTE8v46NvEdiydOpuiSi1OwZ7nQK6sTkoWla1M2t4VPbmQxp6Qc26h05ruRpNo7Oy8FGeXgNiKdpZJpcjEhVcQEHmz+4rkIPfdgbNX4yLEnwBhNZ+0CC1uv/ondV976+NKFQ8f1OEzoDcZbRmPzujPnlpmZCirRbqF5ije+njqZdA4mZ2lkgC6nsivvlXoZC2dClILNAtCOwUlHAZd98PI93dJalcFdAnm6X72XloZm7K3S11pHKBXx6a+2OLRUB7+QJ17JuqxcsKwfF7HupOXsWQ44s4xmVYuHoeay+ZA3vnjAQ882wHjEidPiXpJmd5OqVCqYs2zJpSC3tjKrJn8u0+fppgVGZnd37JN0xZAiZXWTrbA2J6Yi4VN+nrJ0qb0tb3spg/trBi2Tkrm0izWOBKPxIp6MX2fNaIsU8XGdnQytcJ3jnij/PMrTikhXia+J8HIgmaL5Oe3B7CBQ1dqFTBF5GegksHM2V6LUhFsCdzqfsNi2g/XA1sWAoHzEmzYpyGMnT1REvRHy1QOKv/hyk+HIh4ZGS4EnqtJk8vOX/+bnOF9V/T1hGZZ98SjWTLU0b7ltxGfvG/DgAR/b9BgmAb4gv9BU/vsLHVxaS3OQl7eccsFneoEpx+aJdHrclFg7C+pNGlxKI0r6W5QC3WoMVejuIi5w74kJoPN1b4VVXZ6E5l5LgZN02bxMA1rLBEFMI7DMTSs8nUXW5f1wNl4WJtPwOcYnLMH1AJ+UKNWJpkVwKXLQ5PPyVGn3BiXS2pQC3AXIs7JZi9bFCGWdbsKkVRXoXs7W7q6UCzB9PyQKEz57f4NnTzbA8xBSpaBK54aUgkshqyd10jXKmShjzTSRZkuZzGwER6bFM7swDDVXXxrz+pf0eeJ4nXHsk0iPoVH4CROfJfPCmWBw92gnPgsqu9gMRglU1iQuBVaBtIUez1dUme2Bmp4bU6wachLgk3EJE8D/RjOdad1TJWFWmlY8Dn1Wu4KpgWE0Muiv3vsFtFasrHaZn6kRxxDFprQLLflJyEH9HMb3pGMConJi12luNgJ1xtjlALPYgaCQJiWrMGfsDODF5NRcoqTM7Rjb5kyt88fiuZcGl1pFBH7I0ycEn7+vwWDoQ9NDiqxykJI9uEEWs/R3lqkgq0XJlsTqIPmJhE+pACuMPFqtkNffOuYTd4944mgA2mdkJH6qxZVxG+yWpYFIyOUByUQGsVTWrxWFdJGOzbNVJQvyjXVgz/ZhUlIgTNlNSc+5KZh9MsexDuAToK8erSqZZiyeM3g2pNO4sRKDkc9X7n2cBx4+hDUJut9bQUpBHMU0aprxOK0DTA+SEUXm6+vdNvS98w8uKlfwhiwuS2Ava+4c5E5vl7OZSqUVhmlFoWvnSp/r8nzwCXCndy+bQpsW+GsVu7uO8LyI2CZ86t469zxdh5oG6RqavVIJb6U0tnwvv9iIjGzpTnqcU1LJHJXEyArQxyOPV1w34I0vHfDMiRpx7GGFYig0XkL+mURSsHjxETZm8vIQe6Uy5nZs7l6LfDvIws1yIDflIDNl8Hxo5wS4KwFnBeSFq7IRjtZBL/282eiNbKfkcSQYjqDT74IYABbtZmu4bKDvZZsjCZQt/wL7dQEuSv+bZOziuXshywAvtXWVdxaoALsiVcpp+tJdTYBble662AQ1A7RXAnXmnDjHxD0qFeF7EY8fl3zkzhbgg/QQQuVdRCrdSFVOsFP292SwEvkxKbm2pQK18jKba3Ar3DBTlY5+yPeJ11irefurhnzh/hEPH3GTBCKjGCQiLfhKQZdkwCnVgVQ40a0eKCpAz76qUtAbme7nYwtQ5Zllm/4uWwK1KQ3slKWLv5IAKyRJcbyqgebXjDct+U5vJmdwCCMDwuHAWtBz0wYpBGFoiUMYjosfK4XAyNSfFOuvpMmoV5TeK/uchQYvTVmd0N2FVBFpsqCwnjKA53PyyiBPW9OKzabczg7FAPwC3BXWLj1mjbWZVFEqxvNioiTmrgfrPHW4Dp4H0gWXvrClybHlwEqsC6wm5UkGHlt6kjdAlFLPlerCRGJU6qgkmnHoce2eEa94oWPxYeJYfCx8RgZ0IorAL8nsQgeoQqK4D1CWnmXrUkmwyiKtIztrXSAqbFrGYUUhVUpBZcHe6Xk15Qu/NNd9gzyIO0oTWvw5dHnu7qfHLGP6/tASxgk63XFbX7VzmcCHMxfg0EnJYCjTDTkLkBfnp4B4FhzknL1OT2WWkMilSiFNsqWq6phU94iZqD8R5Hvv5LsXZ823lYaHYusSpSbAXRqKn7snKkHpEsBTieLriEPnBB/4bItx5EHDS+UJeWuaKu8SXHZOKlE1z3mGykAvy5Ty5gDGbqTFNc1A8v2vH/Cpe5ocOOMuvsQoBolyVYZJmvxBOP2dpGM5JlaSLJFXBri0hRaXKRNKY7Hpam+lcAA3pVgpY3JTjqU2WNlKgC579GUSzLG0Abg3clqEcIm8poCp1phnT8asDnx3jl/02jdsfuKRAz/7kY8+wuEjU2ybVQR+kVApX13lIY+TTkkuTcpXKFXtnTF7VZKU2ZsSyAu2niyykqXaD5WzdwnYMgsuq+DOZvsVejt9Lk2hvdPgMrQxH7uzyeOH6q7dR2iUcJlLndZgl5uLyzIFUWWl57xVNHhhFRad5MYBuwJyN04hHHncdMWQb39Vn1/7I5+h0WA0kZAMjYsRZLpJgUgKWciEs5I5KLkHbG3K3m5VURZs6n1bW4A/A7e0KRnZ6iqWSZYqwNe7KVWssAG4J1L8Jexl/z7DQK1puO7yATsv7dKRr/7ZWvuGH9Ef+LO16QNH1BvufKjG1ilBFBs8XcydLidkKuxU/qU5yYvqL0+flJ8XCYCyezJRg1IGTqUO3Fa0dw70kiRRJe2t8p0eShtRKTshSbJKwSQHt6cjDp6VfPhLDdz8Fcfeeed+9vsFlfHCsvR3lwNNUX6Ry5Kq7s2KrYpNAkobBWTAthKTKBKVavFE852vHvDxuxrsO+2BDLFCMko8NGm9SHask5SekyzxkzF3STpZm3ZpudlY2WeT6UUoLUjrZEsGYmnd77Am9cdNGqBWVucq2DeUJuX3KgAX68g0sz+lTPt4U6JzMyN9XnglRH73DUYdndbnzsJgTbCtrZhru6q8YqfgolWsmoGqAvlrsng5oKyAezKpU9VvlRrwNJlQ3kem0ODFVoEZi6sJcLuJrCZ9dHagUgaV+d0qRskYlTJ4omI+eW+TfYcK7S2FdN533kHzHAzF5OvsNFWIu/S82oBc8cRLE6m0Ea42RRYp/DDSXH35mDe/tM+RDweEiQKhSYRmKAQ6Se27jHzIHBVR+hS2CIFTvWStQNkiq2dlic2zu7BFil+AkQ74JpMpJR+8DPYykNeBvQzs0vvrWDvHnwtiRarD40SytFpjMJhjy/Ya9bpEL7QlZijZPOPm82UtXvkOuLJg2eIKWh/1VpYZqkCGyT9wfSJg4+aGKmtnrzPWzsCeMXcOdFVm8kJ3qyyIlCVpIouh+UoleF7E0XOK//axNiPpkU3QKrrm0xWkXANdliSVA/M11EmeRMuY29FleReMItCUea14Bm435ckjSGL+0e19/vyuBkfOalBRKlU8hkKgMnmS6vE82JwAeebNW0BnF1z6nrSpRMGmrJ154qbC5jb9PUYKhC1Wj/VmQgr8EpDLYN8oA1yRftlimB03IMIRszGKTi9ANWs0kxpaK4HnuR0NAl+WSk6L+g8HvCqDTwaVlWAykyblCyJ7LlnHepXmhgz4E6ydJVKq4DaFRJFVBtcVfzvT2WX9XbpLx+KeDumGhvd8os2ZiwEonVqDMpUntuJ7589Ly22VpaqJrg2BXpYqeeNBuUczS+HL/J43Q0g3r2/bwpgf/rYev/QBn07kph5ZKxkb5WzDJPscFhJBYRsWIC/+776i0qswnd9UPMrC8ZHSFgxuS+cuqzbNGfw5As4SK5sM0M/B6Kb0WqayxOYgz4JiSZxYTKII4zT5lUXOnhb4vixKUqVwdQ2yKjHKmqgsSyY/XBngWfFW1RPdmLkzYBesbUvBps0Dy6zxVakiyNTSorRJGd3k0sTJEVOSKhljx/mjVhE6iPjopwJ+98/ajI3n5IlQuTzJm4onLLGK7s6X0DKsN4Z4tUOqlNHMQZ+l7C3GmDy7mafwjdsKvKZjfvStfQ6e8Hn/J50WB0UiJCPjejdlQs7gRQFWdrKK1H3ZrnSgLiSLtSmbi6JQzJGOs5JtJfHjZEz2uzJAm4zkmJQogknmfi7ZYgQIUxCmKmUzVZIdT/fztYtCRTqXT6a7d2UB4ETQmNuCGy0novKhKideFstMmeXWF+bYCYliS0FmukV3ectAVRQ7KWVKUiUDc4nJZVEdmOvu/NHNGlxZhT//UoPVcQZuB3BPOu2tRVWeVFadzC4r4TmHdQnfZa2dS5X0C5WqvsmtF81EnbiUKKMw6UDKKT/h9tcM+Pi9DZZ7CmQERhHh9PhkdWH1kntuJnd5oCIplNWnZMGmTVk8B3TqkxvLBit1Wipr3WpiZHmAvt0QS+vt5wmMGbcoSQEidjGkRGCS1AevB5J6TdGsa/xAVx2T0h+eOwE5Z1evsBzAZdBPtKNtGJCV255ywJRGREhb0d7Ffpjrg8psOE0B7qQSYGZBZrbPjS6xt9eI+dSXazz4VB1T0t6uqSGTJ9V6k7w1q8TeFYuw9LWNSTxlz5JVWN4Gu9wMYctBp5UoW/jiceKhTcyLrgt50y0D/vDTPqgQhMQKwdholBBuC5Is0BSlczsBcko+uMp6JDL7MKudkaVCMelmvFSY27oL3pYwYDISy9jaZl8rGL4C5DKRloD/9UBvLQxGEIxAT7UUSSSZarn9XtYXU5X3h6/+8K+1jExq0kymZEXxuW6dYGwhJthbVIFduCjpa2XR6YgxKVPHRNpUV5ckSeaYyJJEkc49CbyIIyclH/hUi/M93+13Ld2gdyUodmyYiBfW6e6S5t6IvSdvlURPidnXbbWY7XlU6bp3++e4R7f9yeZmwg+8qc+9TwUcuSBBRIDCIBkJWdpECspltKJyFRYyKf9/ns1Mz0OZzYV7noE5ky3ZSuy+ls1+T2VKuaUuO27555isLCzbhHb9IRWlr6S4HYeGtZ5B+QZdr1nCmqVVt25pMeUDnV295R9fZaTysSlfTWVAIygtkVXdnS1d+YHP66tLzK0ywE+APJ+RPfk8ybV3ntDJxgGnu8Tp1Bb0/YhxYvjtP2lzz6N1lxKT2mlvKV3Xjijmr+SftTTObiMdXj4eleNE9YRM7mFT1uLV8tlyGa1rNzOZo5IYYqlRseYVzw/5kbd3+fnf9hnH0jWiGkmcuioyjdYym43MWck/mGtJo/T53GtRig3S7vo0CeQCTJFfAHnQmV/0NndaKJ3/SVdkY+1dxAqifOwqxGDzQNNYGI1iBqOE+jhBZynwwLMgbGkQZAFyMwHwyeVjHXOXTzK22kA8ockKHbsBe5f2n5cbyRNp825vt222KUmU0tjfTHenM67z4FLGeH7MnQ97fPyeBuPQg7rOtXfO3nlguz5zOWl/TV74osJAVYSXC5vyLvEKuMFNqS6xty3miUvjpEoG9DjW1Bsxt79iyB33DPnCw8rZhkgQkkhohtkqmrEjRUEWOBbOS3lLq4yzCDNQp59Tgkr/vuy1tZnrZnMXRQrH9CatbLQZe8tJrDyHPBEbkANVUDtidmPowsi4mYsWdGLcgdVp50sx3Sjr8C52xpqsttrYhC+YOmPwctQ8yeKirLfL3rIsORaZ/s33U09T5XlyJwNyAWytJoCuCnDrFNy+F7HWt3zq3gYHztWcNBGuJFZk2ltQmiBl14E7v3Dzv19MLPlf+5Y1lGBtZeWsSJWJxM9kvbiUCmkSpNFEY82VWyLe9LI+D+7z6YRp+tU4PR6iyPaBkKTeeKWMtqAwi82rSknZ2uI6fdJtl1I2z6RKmvARaQ15DvSSHEn/XESWzi91/5cYPUN5GfTFMSu5TSmQE2MxiXV7bqZVlEqIlMEl1HyD9gxxLIhjiBNBnIExO9gTNF4FeCng2iC4FNg8/V9YbNVkSRFgFsAuwJ354EVwKfPB7LbC2JWAMkvklF0U6TrlDQl/8Ok6v/uxFlZo53tX2JtCe8sNPvdEQFkcC1E5Sc/F3pVKPib1t81Xz8lWNpOl7Y3BJBIjnS+upCFKPKQy/OhbBhw+6/G7H9dEcQFyg2AsJMpkgyRScJdb23JQZ7rCLQL5qRe2aDjIgC4ckGX2z0QmVYoRE1k+xKa4yoDvMFG02pUZvNDgBfBsZaVz+0HFiSVOLImxxJFjcgvodiNE25DxVAgCRqFiPJa5nE/Iovi0wnADbflcgWV5oGbBdhNjxspSpeRxZ8xezMRLve8Jx0Rm4FYT8mRiz3qV7j3jNHiE50ccPi/5+F1N+n0P6mo9e+c136XVRRQJnookm3ienZivx+G20AAlOZBp8WJuiTFZvUcJ6DIDusRIp8Wl1ERRQqsZ85bbBnz2K3UOn0uTCm5ANYkQDN1ak1pt6Ym1BdhtDurULSFN/uQLTuakZKl7x95uxrsoyZMq0AsLukSKIk0KQUmuiApxrjtmFOBOEksUG8ahJYxhMDKs9gy1RoLeNJcQN8e0RIfVXpvljk+SeMSJG86YbfqZraTPtXw8F6iz75GZ5hKTDGgr8kTks+8K9yQHd8bcojyYPXNOTGW7DVmSJVKmjknK5FrHjCPDHQ80+dJjabWg9BzAJ9g7K/JSQlAJhikHURNMPkECX++Ws3meui/FPybNHua7R7utSJzuNoVMMZJESFQiMUIRjTWvuTHkNS8acuozHmPjdHhaCUWMZiRwFYekwZwQuYGdpX5UTmOZo5LWigty4FshCrK37pxakQaeFaAXGVWTy9ZiVo4Q5PZiMZkr/ZkbfI5CgzugjyJY7gnOLkuuGGjaiY/evmPL2rkzFz7bT7p/v91KGIXzdPte0Y5fXnonGHxdMLkuKrYbs3cOZkrLVwb6EmPnwM6AXuwyUHVOqvpb5en3pPQ8RkrXqSP9mLsf9vnl35sisbpwTqRCCOn2ARJFWr7K4GXHZ2P2/gaSmAWys5PFpEyxFbliKGIiawRGFI5Krsml88aF0cSxwfcTfvoHuxw4rbn7IYnxRQpZ9wdERjGkLKhsSZZsoMlzL7yo5LOZNheFDs/S6IZilIQt44ECyFaUceNWj3VMnoOtlKAquXzZvx+OYWUYMbdpTGs2+Oz81l1r6stHpvp//Pm1Iw/t939kPEpQtBiMfeK0fDP7AeWTWg4E11f+2bw5YaOCqXKRVLmuW+aALVuApUROKaDMC6qeA9xlqaIrCR3Xa3l6RfDLH5ji3seablMe6drRkB5aCuoSAkm6yVW1uXj9PW2AzofkVIcRqbTdS6qJhunScStei9JFP5HVLZNBaQ6gmJR65a9ZmJ+LCbTlwSd91oal2oI0zMymiBcVh+SWnFh3dX4jy1KpGLckvRwmy/O+S987EZMUm1SV/n32/aWflyE/m03pB4qbrurxo39/zG1XH/2BBf/+A9oO23hCsLroc9+gzvV7fOam3bDKqrVn18uRTLKUrrry91YCzFR+lL+n4idXtsWoShO5gebOdhjY8K7KgWVaCps+T/yED3xiir/4chNbUyCUQ6fQCCkr/ZZFf+PX6Jgvs8+kn1U6EeW3Jw2pSUC459Vu+8kOH5POD7Qpc1trihoVIZFGkQiNHCbc/sohzx71ePd7NWEQl+hRYI3HmLTxJMuvJ87EttgSKJ1OsKTZzdQ7Tg0gF2xmjIxjcymqC0J2/q0g7zTKvkck7iqTNmVxW8ZXeqzT3rQsHi4GQUnqWrBzWnHdZW3mm1OYxENj0dfvcn9cFLli+jgRjEJ3wrS2ad/hBGCz98pLsyyWn/UgtxMSpeycWCZH8FbAnvndIgV4SXtXGFwmJSelDO4EWao9+cJDAb/3mSajJJ2CLzJrMM1aClvR3hum5stA3+CCr+QCvg772TS4y7zndRlN7LoSWitLmU1ZclaEcoVZMi3OkobEaALP8INv7HP/Ez5feMzZhZk3jhQYqxkb146WF5FMWocpUnMpJYTbW09MgDxreihp7ux7ctDm6XxKupz0dSm7WfoooqTRM5mcF1QpQeC5xNy5pTqD0Ed7GmsseqatkEIQRoZwrNC6WB7KJy/3s7MC+jLQnwv4JWCXNXc1yZMCvGwPlsEtip291Dodbqoe+CR7y6QIMHXEYAzvfN8UR88EWF3sllzR3plEqgB7AtBsAOYcwqKK568hyCczxNWMZrn4qqzH19emGJlWHMoyiytEYhBCI0PDZdsi/s0/7HD/Twb0RukfY2T+uRI0o1QG5MXdpgC5lYBJQW3JHRaVBpRWknYlpWBOQVwkeUqKoPQ90pZS9LZMFGVcifwCyOrajXUkVD6ucQzdgSBKJFK78XR6amoGpRSDfp8kXkYrkWvpMiBzbZh9yBJjbyRJykmcMqCroC+N3t1QopiSD17axi5l85y5K65JaXfe1PPWOiJO4Dc+2uKx/TXnecuMuQvnxBNVWaJElbVFGewTzJ0HQaIYurkRX69j8gnnpGiAoChmsqI0aaxUXSgcg+dBp5EO5InEiPSepFLFGG7aG/Hj39Hhv/7JNGGSsjjkUWGCYmwyLZ7m2ksgzyWKsMVHF26DXltmcwnCFMwtZVF/ng2JFYLq80kXpcT4lFrvJC54lekWLFKIdINbS5xAFFsWFpq0Wy2SJEG/6VvfSLPZ4JlnnuVLX/q829JDlbapm2g4KA92qbJ1id1lFcjlP6Bay2GrP3cDB2Vyf8aCvZNCl5eTOpV7GljWEr74QMD7P9qiM/ScB5h63giFECJ1ToqsZbmUV1U+93r9XZQsVKdYFfurrRfctvqyivcK0G3JWSmzdjoVNpMk5SSQcDZiIhXSGlevEivaNcMPvXXAI88E3PFVBY04Zer0E0pBbCQjspiiALnFlcaS25bO805jVVfWm0mYtFa7LF9yWSJIG5WL76mohAnmztzL8mqQeegIQSIsIjHE0vUTSxKuvuZGrtp7DYPBAB0EHoHvE/iamieo+W7XMa/USFB2Q54T2Bsw9SSwC+a3JU07IUtKkqSQKcUOu+7zJFW/WzorUOb7qrvAUsoYqWP2H9f8t4+0ObzsuxFYqd/tHmXB3qWG5wrIN5InFWkyMa3puSV3IWsnalEKFi8SK3kjBBul8SeGBGWFWNbkm8qKTKoIi5AaGVn2zMb8o7f1OH5ec+iMwOqywBIgPZIU5EyAPIvwVC69Ur8bUhYXeaCZFdnlLD4pXbLjVpIlebJHZoFpphIK5s8SR+53ZRlVCyQAmMRgrEJKDyE02vcknidp1AWz066qsMgelspbNwIw6wEuNpAiZUlT7ARQ9r+rmxipVIYUTF7S3cqkryeTOQXQlUqQMsYPYs53BO98b5uP39nAeqpIx6fSZCP2VqULcL1zUo3u12V2S4xe6PAq4CusPQH27L31NSllHZ4BuhyAZp0/jsGlyJ6nwWdiiDF40rkqnbHkp35FcWFNQFCmW4FF50xeyJP0QsseU9ZW0tWDZIlQm9WliKLYKg8yJcikcFw2kiVSOEfFVI57UcOe/0xr8wZnI7NspsWamOHIzdaMExzAfT84327w+T2Xtl43GnaxKOeBb6Cxq5q0bNJ/bWCX926ZBHl1x9ySFCmzuUjBnQWXImNrl6mUqWvinrtakxDDJ+9r8sWHGmmtSWYJypTBM/Yudg0uzxssuyXrymJLWpzS1yaZOwf/pBaZkCvr5hSm9pw1RZVeudJQpm5KpscTIRAiTfykzoqUEmNV+p5EWFdxGGjLa28Z8eaXDPjgZyVhLFzaNvvwEiwesRWM0s7gnC2lTSVNpsndyGabJuRsrr1dQVZW9GHJ3JXiUZDW9lA4Jxvr8+y9gkhtumomwmbkTRTFzMxMMQrt533PP2/tAPWf/8uv8uM/+Ly1Zj1aq/vD7xn2L7rIO5MlqihwWl+fLUpSYiKpozJ5MVH+Wu7MKdWVTJbCyooVaCvgLjN3uSNep+DWOiaRhk/cU+ff/84Ux84HaRNDkdBBaoQUBBJq0g2y1+kYuGy2+PrhQpl9WAzmz6fcCufH5tuqiOqQfjepS1YTN5lTN3kvB7QTwX05jsllIyIP5CbncmekUimtMJbZdsLVl8ecuqg4dFK7hE9+NRZXa+aAFOMvJr9n8kqevMjTn7N+0Vofh9gNfsAGhWlZdWtejJbOJVzpRmzethu/Mf0vHnjs0AO3v+kV2T6ZIwQGKUO0NpisQ6P0sdySayackxIjZ+9J1r2f6e6q713W4AVzF9IklSmqcE1kSYpk4JalgDKzBD0v4diS5P0fa3LgSAAtlUsSl9hx2juTJnmfJZMePRt3zJeCzfyUi2pAWfXAs9eFi7JRssextplI+BQuisxPdjV9LwUY43YdzrxxkTO7TLFoMEIhrPPGo7Fl756IH7y9x0NP+RxfLC1VedDpZEiMYCRccEk6ws2ach1KocvzGpWq6nHsLN3XMt2dJ4Im9Lew1fR9rtFLen1yJUwsRAkMw4T+MGI0joB0Eyq/dRPar2PXfML4HGDz6ZyTJ6ia3CgDdyKwpCRXMglSki3lvc1lRXObQosLU/qaoSicKsmS/L2UvVXCSk/wax9sc9djtaJKMMtYpuBWknSH4vIY5OLvUyUwb2QLbgT8SQv8G72Vu+srVYW2LF8yyeIAlcsUUQJ/KdMphXUNBsYdZyOUey2Uu4yEIRkYXnnjmH/8ji7/4X3TrA4zYKfaw4gU5JpYitxByUCOcUAmA3xKFu4zkjckZyCGIrEjs6ykKEkRqIB/nR9OIZvLx9odI0u7obnl+kt56YuuozcY8u8zgHv17czNb7njiUe+8suxaf6UEoO82bTK4MWs6Y2ckknHxH2452Ls4gIp3JEM9IU8qQBcJenXSn53mobP2HskLb/9sRbv/WiLXuKl2UpVcU2EcGOGM+ekUlRFcbAns5cVpt4QzBYh5MRB+8bAXZkRXspoVtyWkl1Y3rhVlka+ZcxtpEAY6Y5n2umSpLGHEIbEKIgtLS/iR97a48Ky4tc/2GaYoc5kbE4F5DYdYJLlhGwaZOoUwdakYyVkcTHmF6wpwOv0fIoRO0Ekk/rbFmCvlD3k58DBfHa6Rr+z9Ms337T3jtOnz2aLEMwvXMJffuTdg35v9ZjWal1bWNFFk7Kvymqwy2nz8rzswvGY1NnFvZyBzJi7FESWJInMnBFRYnBVZW4pY/AMzx7x+OM7GnSjdINMMmBnvrcbIOqJclBpC10rbcHeJbBXnmcHNtO2E+9T+jffCNKLdrUJy9Cd/pyZqxdBqSk5792U1df5qInsPYVN29uMVVijiCNFS1u++7V9rr5ijExiMDHYGDd7IXtMsMYSWxhbCA1EVhAZiG06hN5AnM4nKTrDRKVLLL/b9DHJtk507xWDjpjoLlv/dZO9b1yzg1KaxaXVY//8p9452LFjWwFwgJtf/AZe/PJvY9eu3QTeGN8zaZ9jFZgVsJYKofKvl0Bd/Vqp+6biYZv8IpHrgG3yC0WW5ckGqXjtJTxz1OPHf2mGpw4FWE8WsiRncFmyBW0+yGdyp4aNrMGNZEolsVMKxMo08w3JFVt9WvXFJ+3CYgvuyiaupb7NfGCQlbk/bkuTsYxR6fg3RWI1JlTccHnEb/7UGtfuGTsxm4E8v0cp2B3IRxZGBkLjQB4ZQZRq4aQE+DLI4/zrGTBLz9M+4MRWQZ0BOik9N6WvxQmEMfQGCVdccSXf973fwdu+/e/lx1NnT6amp1G6wfSUYrQ2JEok41DlW5xnukdU5Md6W3Bd8Ck2kidl6VLS37ktaCrPlUwQmfetCmDLNKGjPUPPSn7rY00e3xeQqBJri6LeBEq2YAXU5YrGgpUn5w6uGwtRAXvB6l+j/GRDeVLBeCmLmfdpVt4vM7tdJ1lkyt7Z4CabZTZFGsIKmZ476fS4sSQYtLDcdPWY//MtfX76v3r0YgEehSFtID84RpEIQZi1sRnhMjPpo8U1I2cGYRZAS+P0Rx54UiSAsuYRS1nqVnV59rwsU4yBcQwrA7C6wfz8PL4/WA/wwFfomn94beQfWR4Ee+rSYK3OT9b6BE8J4JlzwiTIS0ElNq04tOvAXjgoxgWkeb1JUgJ8ktajJEiRoESMEgnaSxgYeP/Hm3zki03GGZgnmBvhLLq8oOo52Lsa4GzgnmSgrQQ7opAs65D99eTJJHtPAKOkw00GiAqjlyWLTcEtne62zk0RaY2KsNI5FNa65yYNOq0lSSy+sLztNQP2ndC8/2Mt+hHugKU6PH9MIZwYSb55cpqqdzUyLlupRFarUnZVqo0OWSa07JAUmctS/iX9tVIUIM+PubDsuazOpTv8I1bUDqPi/Jjmexr/+3f+CpfufdWRsyvTm86dG91m4x6+pwog5l53ydNW5XazaqNwpakhA3klBU8BbFVNxasNpIoqgTvT3lrH9CN43182+Y/vneLCil/qzsmyldlriRaukcGvNDJkKfpy80W1RCG/AGR1L8jJLVay7VeKfYXKo6jLX6Pyc8oyqDyjMfe05eSU1olgvhQUV2zaHABlR6KagXZftml5lWW6nfCCa0K6A8EzR7RLAlXSs7ZylVuEsyspS7TShS2KFSe/mkUp7ihd5OUVzb0uBj4XpQsFsKVwp7tds3zry7Zx+2t2/UY8OPyeq/besp7BAfbuqKO92qdPRMG32ah2o7Fh2lVuS3eK2u+MiSvMXXp/gs1zyZL53iUPvMzcWbApJ21BUSp/VQmyZvmLTzd413vanF9Jq8TWsXc1Y+mJEpDFxD476WnZ2PsufO7K+S6dTjH55n/nrZzRzN7IpApMMndpSGaa7TRWuG20RRGYClt44kJkrE36mMkVx+IYTRRaLplJ+Nkf6rLclXzoUy2opUvHOiZ3N4MkwsUFvigVXeFcF1lic4nN9/Wx6THN61REUYNTziA7ds+qCW32S92pxVLzPZZX/cdPL2/6dL8/rBzTihn4ittexWjpc/dunu0+PNN2G6QqORFoZhnKUtCYs2/mrlQqADdi4qpzUgG3THKH5LnALWWCCgyHT2v+8FNNzi36BbjFxF1KRKq5M+dEp4mJyU6dciN0DmYqhFVaGkXFQSmT1jdkD369r5e8b1OWJeULIX8U6ZDOSVelHHgWAWfmuDg3pZhUmzkscSi5ZD7hHd86YM+OEELnorggM3bP8yA0AeuSU7GF0LqAM05fx1nQmQWPVqRBp6g6Kpb8fVNyT2IzGWAW8xqTNMAchIIjZ3oP//p7PnHvbbe9onIc9eSBnZ3bDkIwWOsSh31AlurCJ2q4J7T2xjo8C0RNEVhSJHfERqwtDKKU2CnLEiUTlG84clbzb39zmjsfqTndUfG6y96387yzMRB6gylbG0qF8vdUBhdNWIdkXeGixOQbOS6k2eH1Lkl2VWTD3NcDuJToseTs7Txwm/vf8jmKsgTOihNGpkkimY4fNs4rT0VEIpypILCYkeXVLxjxiz/e4ed+c4qj53zHEFDyyDNtlF20LutpcGDNVkwj3BhjK0CZrBrQ7VgsscWYN4qspwssC51ermXJEklGQBJZms06l1+2E2PW08Y6gF95/asQQoXnDp9l8dwSUeKljFUugCq7IFVQZ9+bab4iTT8RYGbgLjsmwriDnjonDtyFVJEyRnmG4xc1/+63pvjIr360lQAALgxJREFUHQ1CkW5OnzO2qoBb4ti7qPPeYPvtSgHZhG4tgTMHcOl7ynbg1yTu8hcntWb6P0ERVFa+L0v+5I5KtU6cDPSVzGbRCCFNqpVFkfxxmdAM8EUUm0mW2FhqOubt3zIgMfBzvzHFiYupswKZ6K5KFxQWQWKLFD15b2fahZ+CWqVBZd67mabns445d5yLvk6TnTdZPXCDCNqbtvIdt78+jKKEf/tTXwfgjfYsMPuTtdYV10h9/pU2GhU7Z5Wzi1lxT7qcUwI1YoLhMweFsk1ocptQSZO/dmxdWIOVNLxOOLHo8dO/PsVHv9AglOnOr2KjezljWRpen5LPhtKkdHHmlYKTYBdFMLWhfBFfE+bPeZvEdSWjyQSjp2nEbG+fjMEnvfJcf1d0eBnkMq3zdufQpODOGorjGDyd8N2vH6IV/MyvT3Piok86h7l6EWZ7fKdfNIhclydS4JVcoWyMRIW9hch3ZiOtGqTE7DLV9gr3u91FYZidanDzdbu/fM0V23/y3FJ/3XGVk28IMcfZo5/uIlsHxlE9GUcq3as8m72d5IN21vVDlpI3eWayZAeqsiyZrA7MWdo9ClF44FLGSJVwdkXxs78xxUfv2ADc62xBd1F6stqlsxF75wexJF9gUopM+N8bkrOtgv6/A92TAeakL168KUrVdA68mdwxVIfoZ3MNi4RQac5hps1NkQDKJtbaNBHkBnpKdAJv+5Yh//7HO1wyF+WZzXKWM9flptDlxkJUznqmr5NMn2fblaf63L3nMqNRqsezzGiWTIpNdpG4eU0zLS+Zm6of+L0//nx360Jr3aHVz3XMe73hjy925l4ok9FNvjdCSYOnk7zhoGDnDA22ONkVr3xSnpiiXU1UNXfG3nKCuZUyxJ7gPZ9o8ZHPNQhVGdB64nHC857IWE7q7qquLgC60XiIsv+9kb4ujoX478V3NZu5LqljK+5JOa2fZTEd8ZV3S3YFWBUnpeSLO2mSnra0ICvzyZP0Bws32haRgCbh7a8fcOCY5pff3yaGwmSecFWqf5skwYHcpCsquM+mMi2eNTxkDci2RDBp7YsS7sJw4Lb4WFp1yZWXtp4cDns/3mi0Nvz9GwJ82543cc+dH03mNu+x/cWz+F5C4Ef42oGNVHbkUcEGN6fHJxscHKDLRVYFuM1zghst+Py9NT78+QbjfKJQGdAl9qZwTYp9dUqApgz0wi+u7LcjJkCe/U2lu3tdovr0G9aVyX4j4C59Y0WmMJGqpwz67CIoj5pIwZ2O3HOAzkpqS6xeAr57THs7SeMmwKS5SIFKk9mWQBi+63UDHtqn+dx9jVRjf2Mgj0ldEOn+WKfHbdWaLXvl2Y8tZS6lsHjSyS8tASTX7N1jPS9JfuB7Xv+NAxzghv+vvS+PlqSo0/0iIjNrvVV3X7pv7xvQzdZAs7SAyOKMioIwuIzoyBFlGbfHwyfzxpHhHEfAUUd0AGeeOuqcpwzgAiiK6GiDgqAsTkM3TTf0Ar3dvn33W1W5RLw/IiIjMivvvU3TTQNv4py6VZWZNysr88tfffH9tqNPBI9qt21/5vGlebq75LqBtL5Ef12iJjsk5owQlqtVgzwxseSxBq5d9IRyMGW5zWsVIehwEAe458E8PvXVKtY9n1MJwxnAtieWRHsr0xNL24Kn0tEgEoA2mE06WdK8JeG6T4F6RnCn3JjN9IQYDRz2xDKliWt1QSQtvf2cBDSAWD0h4CAgoNJwCSonm0SAcxYfBhECIgJWLAzwpU+M4moG/PTBorTiulNyzMOzRFD5OYGanDICOJBlKHQdIX3ONd2KBBCBgFtWQP4fMNoQ6OvrnFi1atVt5VJ+ynNMp1pRbZstaiMP31TtmjMYYQ9KxWG0t46ikKsh7zWQc324TqBq/vEYoLGFVs9msqnBHRnOHceVcEvj1sV6JLjveqCAT3+tgnWbFbinpSay9JmrTkLcmUHzb6RBPQ3dyFJV0PxIXsLki2m1bjHN8lSMilZK7Pdpvp5w2QNN3DvWxW0+bnNvofg4p6Z6lsXLI83LfYrD5wW44a9H8bZTJyVp5imdXEchxu/DuHWIUDxcP0JBEAqiArTkIxAEDU5Q4wS1CKiFHLUwRC0IMD7WwKQ/iZCN4piVCwbve/hPNy2YP3vKUz2lBQeAkeho7Bkexpe+9RCW9u3Eu95UwzELBeoNB37oqiq0TH63+MdNX2QjH2rQN3kqY8tthcKqmBM4wF0PFvA3/1zBU89NBW5qLLmytG5MTZqL95genSLFsacBu43ZlISYETxoff995+FNLmpLIdHrTVyKtOqxpzBhzY0mLjsRp625dPAQlXlvc3MIKi27ilPhNjfnqRvaB1YsCPAPV45CCOAnCUuuhib4RKRWyDZYkXUfM5jgKy5kimWgJp6Cq0jGIAACH8csmsT5b5zAyiNKOPKYfnj5dlw1zbmdFuC5wpzG1g3+ZePBytu/dsdjpfseHsV5p4/i4rfUMKczxOSEABc5FcHGpBCkJwiJZAetqNiatwI3MeCmJAKhknP/9Hd5XPPVCp5+3kuB2wa2dupI+cNEClpBVLHVFk28uomSJCaMKTCnwY5k4oO+A5JvZ4a4LsndRE9ggAs98YqlQ5t+2BzdKCp2g1RNS+xsoIRsqNUVxYbjo6YyI4hSuZ+IW0mMDeDI+QFu+OgouADu/V3BkOkZB41jWEKY76e/Jhd6QskB7gOTdczrnsDFbxnB+afVMb+bwi0eP1HooZc5+Z7GdJ80LcDrjUl+1smLH62U3NEHHttUenwTwbptOTy1eRSXv30cK5cEYMxFGDnGuqjLZCsTyVopKXBTY7kJ4xCM4GcP53H1VypY97wH5FL5lCRtxaV5pha4bTmwOc47ncBrJpvpiME4HzAGO0lYeQ3lGPBT8ZbUsqlYqinyl7Tqwn4krHIyUMlwcS0hqiCqBNB1/Iqqcai4uBSWpRXnKs/MWHIlp0IyjXj4AsvnB/jCx0YhBMEvHsrLBPfpQG7JUbG0iWbaKJHOkScNrFo5jMvfPoK3r/bhMgeT9Qqc6ttHOQ57tDExwqf5tOnvt/lzutDdXtlDaOPCvzr/iMDxItRRwZ2/7MPXbm/DwIi8vFGcJSJ/Bo2NsyVCjqSSwpPgphLcv/pDDv/jSxWs26LiSzIcOEkrbjJ0HGLzbpEAdWYYLLIteRLkzcvsa2Vvl7iGL3GI1CNebi1scnDC0ry1wz1WSex1SHBxwW0ennw0JUhwXXqCqeUsLrrPOQX3gSPmBfjyJ0fwxhPqYDxSfDtqfkDfhephfRcCec1cIpAjMvoCgqC30sCVF47i7W8kELyEoTGCUbE6mKgHF3r5yh6v0DvteZ0W4MWcCz9Yj7ee1vfiB89b9NwRC1uRd/OotLfgJ49343dPVVBreAgCD2HE4glKfNCxdRQJKVB7KGNawjiEQ/CLR3L46Beq2LDFQ1xmqgncaf6NJDVBOjvH9l5aBYxsYGdSluaya5mAtoGfvgOsizcTuLPc97HHEmm+TeJfzLSUyLWMGAM66d20VS+TDWSyf4SabJrOblTdENSaeGrAO+ARg/AJls4N8LX/OYIzV9XBokgRaBvgvBnslqdWigDyOhaYQIUJFF2ClcuBM4/KYWBXF0bHSxgc78WW0VXPPbXjqBfXPLYVlHn7D3AA8FyKz970xJYn1nuXnnL0sZjf4uOITo4Vs4qo17uxZ6gVE7Uc/MBFFKmCQfGVFRYtsTyUxICbuRzCAX75aA6f+GIVG7Z5EE2ce2ZwMyIyrXdWwkJymWiy6La83TTZTFnyJHhFYju5fmp4i6YX6q1lxm0KYj5BGODzFE2BsdqJGwMW0LkNcopkeea0imJHJ7IUyJV1F1SCfE6Af7pqBGesqoNGyv2YAHZogZ0nvjeBvH4uFSg4Aq05gbktAiVSwfrn+rF1Zwde2FVBa/tqHLugcemJ/fds4YJhpuHMtAEhyzA2PolyqbDjp23uA0MvPHMq4RPo7SyARB527a2jUmqgkAvk6aQcTMSzolSAlRUGSyIwL8LWvQwPPZnHtf9SwYYtCtzT6tws9spQwJRdg5EENR1J05TmCabIAHzyJohRbHkz46Ka9r1s3RxEmGX2+ulGjGlhdpTwWhIDfJuDywkqsbYRKS4OM8mE5e3kqk6J5utcfgNC7RAAVWdWUMW9uTQ8yqlDOANXKKUAEERYNifATVeN4LNf5/j9E3lsHSSAp05ITLZVCSzCIcVbc008CuQdgaIrUC0I0LCI3z6ZQ3d7gJ7OVvS5xz9Q6jplRxDUcEZ3cUaA79Oct6VcxEMPP7pxVk/lpnPeeCRaWyhaWxgIKOo+QxAyRJHkbcm2J0r/1hbbLk6fi7Bhh4vrbq7iY19oxTNbchCeXbM7qW/bnFtP6BhB0g0PCVq7xokdXEWATC6epZ40JRlnxpmQhMrSZNbTy7OAnXb2WIC3n5Fenog5SXk9AeOEi6lGUkO3Y1O0Jq6vH4+pieHhsWbOidlOSKsecYYocsC5A+ETLOsP8NWrh/GZK0ewZHYDaFiWnEeWbs5jyRPaCFEBhwp4jkDOk994aJRjxwBAC0chFNWbnln3x42eNzO4gX2w4HosWzoPrdXKo36j9qOJsb3nTY5sg+fKg7ID8SUAtAYuUrKg8lLmI2zc7uK6Wyu48/4i6hHLkAKVQhILrNQCuzxw2xWf6bGMAZrM7aMZy5Lhrwao8eIMH7w9nX5JwSczjCZQN3kmjWBlA1uHTkh1QtYbMZbdqBYm8lCGoZI4HFeClsIkMcdJxyq8luv0G0Hlp6tMIUGi+MTQMEJPa4T3/fkkcq7A399cxaYXPZkZpDzgpmq+ojvqeMxlkMfgBxzjkwEWLVyIvv6lP6q2L3y0Njm2z+dynyw4AHR09GDbi4NbDl9+3Mdn91Xv7un0UCoEyLkRHJ35Y7ngTQx3ql63F2HTdhfX3lrBnb8sog4mp8x0KrXEjhak6k5PWu+mZq2wNG8kLbP6AUh6JFNATsSgpC18BldHaj/7jPZMrZAoUFvgTW2eVFGSk8p4GU+qI0goLKlJpzC0xCQwm8wfY+H1ctM+3EQiKkuu1oUNhhwXuPDMGj57+YjMDAosHm5ZcSFE7M3UWT1hBDQCYLymmtu65buPOvq4jyMa3jJ7ds+BBzgAzJ/Xj707/7D1hOOOWrtkURsqxRqKhQA5N5QgZ7qGiaEkcTYOC+HkImwecPHZWyq44xdF1GH3yckAN7LBrVtsszj1zPDtpL6tfvbS4CQipha6pFiWPGiDu4mW2JBMk+2XaM3jwCnrdRrJdgUsWNTEXt9UnVZY+xbpmyEpHSZeaxUlVm7sNDfjvucJKdGoKxF3wIWDKGDIC+Cis2q49rIRzOv2gUZzzRUhhAyrFSa8th4STPoEg6MhvFIXlh1+zNpfrXlka3vnrJd0bveZoujR1dWNYmXODf7EMwvHc9vfRfggXEeYdn1xRasIDlWdhVmIEByP/FcOt/ygjNvvL6lMHJoENRQt0d5J0CZwG727uaZgkxSYUlLSZdlICtxAM8gTFjllvdMTTRvjL3XEwE7QDz1Zt8BNbLe9ssC6PJodoyKE6R8PGLoitLeQgCmnjnEG6RvA1FgRkEX1qXoGZDAWpcbpI2uRy1UEBIg4hIjk5wcRXCfCRWdOAlzg5jtb8PgzeTQiffLkdY+IiwYh8CKTaNwIBfp7OjBv/rzbTjj+6Bue3fTCSz6vL8mCA0CpugAvbrx3xCsuvaS3s/FgtVyH5/px09UEJWEhXDdAAxH+7acFnHd1B267vwSfqear6fxJyjLe0xhMLPVIF6mPq9zCoipNColoAraR9lJ1BzOoSWJSmZpTJkD+Umi5aN5Jc81C/d5Y7gTDsaTBtEWP92Nb+IQuntbYU3q4pjm2M6jJkjNDXVRCc8QdRNxBGDhwIoqLzqzhri8M4gNvHUeJBEDoAzwARAAhImm5OdDgBBMBMBQ4GOa5B49fseCSb3//5yMrDpt38AEOAP1LzkVXR32yOus9PvNapeRHuZXxIxs/5XIB6ojw7XtKuObWNgyMeQiIBzBVsyRun52qQpXwVsrPNGUf0tY7OwUtLfllFbBPgDdFRWwQG6ttx5ok2bZuPtWM9CkwbVOSJrQmQa531ExJ0sFWthXOWmZz9ZTXE7YnM+3ZbF4ukAI5NyCPNE1R6krEXYShCxI56ChzXH/ZMD5w7ihK8AHfByIfiEJEgqPBCXwurXdnRwXXXH6uPxS6kx+++C37A9WXTlH0YPkjAcEfyVdPO3ncv7cANCBbi0hwe66PTQMCd60p4/PfqmJ43LP4tubYtvRnyYEwiCMK3EYxMcmnCeuNZDDVdNY7TVdmes7k4sSAfjo8kynXpMAMJBSRJpWEWMAm6e1N9CAUxZCtRox3kyQSI2zQyyayggNCN2rVOZ2KLwlOISiXywFJVzhXNIUqYQGIhMyDpZSrylRyHRcclDBQEUGIEK2lENddOoqcI3D3A2VsHFBUhTKEhEIIoFzw8J4/W1l743GLHmF0v+zwywO4l68gCsb/d7X3HDExuumT4eST+Zwn4Loh8rkGHllHcO03WvGbPxXRCF3ZYYG4SHgiNajjZ5sMG3DblWBtQKfd7SZBNQlsnTUyVVisxOkU9AQZLvv0ySAzvN+XIaZZrsFt71eHzSY+y4TZJjXxZrlQrrPaFEKo0FnNgYXMyNecXTmCKEUC5PL8Uvn/OtIx0kXrhTqvUl6kgoIqvb1aCPG5y8Zwzmof1/5rhN8/TQDiQjAHIopw0pEL6h+44NR/Yq77t20t+6Z5Z439vzUAMLfMd2/7zbXM67/RLcz1HRaimK/j9+soPnVLG+57pIpGWADcAkDzkC1E7Icpq2Zr3Da4HYI4voRlRAfK2yMd3y0ywCySN4LFn5uzeFJgnWoCSpo2gfFk7jvK483TTh9hO//NtrYrXlOXNMdGzNXT1GQKeVE76TISlo0qk+Tk6QCthHzIKaKIIQodhJGDMHQQhi7C0EMQ5NDw83CIh3OO93HjFUM4+YhRwK9BBBGWL+7zD1vQfeMPf/LgtW0tRY6XMfbbguvhOZM+vL7rndxuf2DX89fdcleO/vDBKh7fWALyrsp8d43V1i5vK0ojndapbHucnsRIMhtH05FE8gK09U6637O08ATPzuDe5pEq1xZvl0E8siaV+4JxMfN2NmVJW/JEnImV5MCJyqpUVj7rJkg8Eyj3vOpHGWvqIvZOy9gXKiM/E19Q/5qQmAqlv5Nx/HHZ0pBGiLgDJ3Rw0uEhbvrECG77tY+7Hi3zOf1d183t7/nStl3D/svF5/78mDaNLc/+O7racsvv/e32J9//t4+xCb+gcic1oCmocqDELnV9wtSDp661Eg3jUmuUNIfCMgLTHEuBXdcc1A/zXhcHzaiJohpJacvO4swfq9imKpopQwTM62QBTvWaqMKbqiAnIbohldlPwjFF06+FOXa74ClBZhFUfZPHBUMTvY7s0tD2sozXsYPOLvAky+wlc2pN+LN+2De40fLVjaEmEHErG5iyfnr/nhthZCLEg8+fH+0aX3Z0zhl/6sPvvuBlY/NlW3AAqGMZCh2VZ1lh9hXvOrftljvv+yOtc8T5gTLDXZVNg7GGcY05qGpIMMqBpijNvSqbkxOMNc9WRpooC1Lb6V+TGaiLuWTJd03iSdp6pdfPZLUtvRsxdzYTTaReyw8wTVHt4Ky4gFCCuqR4Okn9EgjEvwaEaKqjLbRxJNmIjg8nQ7HRXwkRYFIWVZySwsHYBEO58w38jFUrrli3c/GzPeVdBwKaL4+D67FsyQn43ePMf8fZJ3+jp+JcddSCdhREiCITKKtHyQFKTKDkCBQdgQITyFOBnGoE5WqPI5LgtMsKxOv1+wTYRRPop63zbW2XcMdrvCQoicW/LcDOlNiQCJW1aQUyXk8RXSVSyxJaN9BMNWBp2ZY3U4OS6/UgyW0T0iFJuPp5gstbALd0zrQcyTlBxBnCiCEIHfiBiyBw4Qcu/NBFoLh5EDlo+BQB5mKyXrmqs++Mbxy7YNxftvSEAwHNAwNwAFi9cjGe27ozuurSt2z6wAWnjs3qroLwSIY/MgnoogqDLDoCeUcg5wAuk7EkCXAJfWDGpS7BJJommJlKSZb1JkmQxqDL+CXQ4ExMHvW/kKTVJvHWL31yaQ8xzUIN1PhnP+G2N9vajh0zSQXiDsZN+jlp5uQZLv3m0ABijss6C/GzmnRGEUUQOmgEDhq+i7rvouE7CAJHRaAyRJEAc9rR2nf2WNe8CzfVJ3ZELW1HHChYHjiAA0ClXMD2vZN3v+2s46+84i/P2NvV3gI/jOBSoOAKFDwFcPXIaXBrygLldCBx55R4xBYZGbQjVU8wtvzpCSaybgDSZLXt7ZDaT+J67uvrGUZz/qUVR4LUOtuCwgKpBTJbHkSWdQeSaslUVhxI/BIANqj1p9nyj7COU6YyBiFDo+Gi3nBRa7io+x4aKjkGIoTjVVHtO3dva9dJVzLsvZs5+y8JZo0DwsH16OpoBQDs2jPy3fefv9oZDfgN37l9TZeYGEHBA/KOnAgBMrBMPsuTp2vXqbbnsSs+jZmElU1Zb9va27TF3ja9n4SCktou0y0/JR+36PB+Dsl5p1lmaeIxN4cFYJJ+NgnHgsAKi7UcR7bCQtLW3N7eWHFdRViehGRlYSHkzy+JZICWHzio1R0EEQOE7CCd8wIQRCi3tKF99jkD+baz/pfg/nedwoIDCUcABxjgevR0VvHintFvXfLO1XR098Dn7//lw11Fj6OUI3AdeVUagUDEgZEGZIEXVehc68hCqRVC6Bm6+jFUr9PVYBPcG0nwUhuUCQtOEpq2He6aFaNi3wiw/xf28tTYh8nkjOut7WxPJkmtT8p+aYlQglVSQMmrGVLA1v8fvxepm0RNZuOkFhE/E62qAOBCej2JD/gBw9ikJxuaAXAdjjBSXye3aqDY/uZrIBrfIl77wYAiZk5q28/xpRs/j6WHn/h4pegOBH79tLA+WmgtM5QLDKUCQzFPMdEAntst5SFudXoRCmBGJjSSn3HTy2fTP8fEidsd0wiBkfQS25LkMg3wuNeO/b9a8lOvifn/WC9X25nlJN62+bW66aybLSt+BhnLsr2vJjKGqg0197QpWKwYpSfOGTd58jN1GITV1CCuGGwkP5dFYE4EzwlQKcm28C/sqmDb7hLGJxlqPkMQyjqIbe2z97rF+VcP793yrfaeYw8WDA+MDj7d+Mev/l/Kefju8ZGdtw4P7mjJeQ4cRlDIAdSZRIPvxLMv+rjrwTImRR5gHsA8EErhUaBIhWy5TSVfd1RTKwN2kQBuc2vALHBLPZrAvE/eCCT1fyQD+NZrvT5uNGWBXf+fpZcntHaadWyIWxia5anvY+nbifdpfVw1pWrWwqEKMRmwTqeL69LXugkv06HRqkmvDLAL4TkhIuHjrt/msH5bGxoTPaCiiHyOwmEARYTDlsweW7yw87Kcx75/2Mr3vixP5UzjoFAUe8zudrlA+TanzwnDmvvtbdteyDPmorM1wry+CIv6I3A2jJ72Bm79cTsaHAChEMSVnjVkyH4kZVlgogpt2tJkmYixjEDKgtmTTntSGnMD839ZsSf2oiwuPeOwPkYkF6k4cB3pYfZt+w1ivkxs3VtRPFheTotycBBJM6bSzYly0lgBXRxE1dfUNAVxrq3DAoA08I17cvjH73WjxtuwvJtgXlcDbVUHYcgxZ86cOvF6P+Tz1jsHBuoHFdzAAVZRssZ73vUXWNzvRyev7Lyzu6f7ff1z5tQrRR8dVR/lYgAQB91VB1ecP4a+zhoQBZCpTGZG3qx8GJ5t1xy0QR8DxObJxIA2xl9i/RS1UEjzMWQNkvFqf0cyVNYGcvJhNrD08RioadmQWOvt/dpKClKv0bzMin/R+o2kKCF2DAr88w+r2D5cQihcjNeBvWMRhkZ8zJkzt97Z1fO+0XrLnY+vH4nOevP5Bw13ehx0gAPAqtUX4ukNY9GzAyf9oH929/uXLumdbG2ZQKlQg8MChCHB3L4IH3rbGJxQ5ezpeBOYSWVcZxDqZxdT8NPpuGt6GzRvm9Te5ZjZIr88UIv93DgZQEVSz0nJUUDHfjc7g5Be3hRMZdZxnqgxEE8y4Yb4P/cUsG17DsKRyfRDNYKBEY62zv7Jto6u9196yTk/KOQa0YcvefdBwVp6HHSKoseb33IBHnvoNnHknDW3b9p9osOi4VsKztpq3puQcQ2gaCtGoHFUClTcR3O9k3S12Ew3PFIW17LemGq9pi7Qz+ZnGCCZECYvmYtkj6y9pKlOQiW03PnafU4UzSDIkg1Vq1cCJJpaxcqJsu4QVoqb9HxCIA6lJUInIvP4BgFU2hoRGJ50ZO8fESHyJzFKXKxYOneku3fW5V+9ffPtEb8ff/2R974yoMMrZMH1WHnyu7Bl8HgsO2LiewsXzfuYnztlcMdIG4JAgHCGwxeGmDXLByIJHNlAympBYgVOpcE+VRHNrJiVNLBBUmBOW3sNL1s1SVl4eyR04n0dIntRIvPH9ibCohux08f2XprtE5QmHTKbohwJq81J03v9iCIa104RSt/evp1i3fM5RNQBEwLHH8bwkXcvH5y/ZOnHtjbK37vwzLmvKLiBV9CC67H46A8BAP64bvg7grhOa9vPrg/5HV0NfyeWL25gWX+AzTsJGCHIKQXFoaYsm62aJAErMvmyxsJ0jp6sGyFtsV9K151M50zGmIkCpRfFu9KOGvu92kcccKWtuQ6WIsKkJAj5fRJ6t9qbiB021noue1rKD5MNTiJCQblQQGdgFHj2BQdPbyiBI4d5vR249N2nD1xywapPA+F3CJm+SObBGq84wPU47vBWiGjimyB/Tib38M+P7/5xl+9vQxgKgFB4lKDIBHKOgMusyEJqwG2Uk2Rn4tizaS2zQdvkhrfBkjWpnGFymTlmcuLs5+YxPdEgVbRDF8oBDCUxYDY3XWyxiYgdRXEqGrFjv3WmvDpznKqbxBTT10fAnBBCUFAmQJiLebM7cPnFZw2cd/ap1wyOiG92thYOPqCmGIcM4ABAWAkiGvlGof1NoR8Wv1zffWebz4fAmIOyC5RcjrwjYv6tAZhMTWvu1pAGKZCxLEsaJNaNkAD2viFV8+LMrS0Ep939aUs+7acJQFADWkBZWCsUWcdfpzm4EKoQRWq5JjmyXqHcqZwVyYZWoCpMlsiEBg6BkFCEnMsGV4zDD1w4TGDp4n5c/M6zh95x9sqrIYJvd7a2HEqIHVqAAwBhVfh++N1K5+q9g3s3LjryKPfGRzesdatOgGqOwGHJmh/ynywlxQIiJRkWGdkgNdKgtY3i18kYmARvadpPbCEhTSSxgCxJAYmBP+O5SN2M6f+JqY/m2eoL6M4a2j0PqIprcZaPrp1C1KRUWMeoj1/+5ZyobsIiAfLYW2oVDUIABIxDCI6c6+CIw04N3vSG3k+dd/bxmzpbCz9hrotDPQ6MBHAAxt2/WY9ZvZ3ek09v+qu1azfc/ORjTxAmapRSAj8E/ED2P9cXhBDj3cuaONIU6BPZOcR4BFnKDW97NuMJJVLWvGkSm/RSymd72T5k9FjHpD2Xtks/WYFLxO/tRBDjZU1l8lgZQIyozJrYO2o8oXL/iu7FnlS7kZi8ySJO4QcMjUCWp22rUj5/0WGio2/JFbmWpf8Gvtsn7PhDDSl5fg71Aehx7umHYXJkwD92Sc93j1s+74gzT1n2d8cun43WkkrIJ0mhIXlBm3/2E88pzt1ktZHcTyJuA8l9T2UShP1Ihb+mXyV2ZVttfUwJlTn1kVqzbnL8mHZ7dqx3rCWq/43jt0XyqOxYbyFgOkHw5PfRIK83KHYOUEyG/SD5I/+uUFl6BCfzvzs2NPKqATfwKgI4AJy66nAcu2J+jQR7NniVRdefeuKS60496fCIOh4mGxyBbhwAA0jGksFS04X0NU88LWusLLVRZ0jzjZGx84QzMeVaFOkN7CNKKzrqDWla2DxsWY8LG+RIFtSEHWFIEhPUKXasnEE6I8fUKSRAXNjJcwJ4HuCWF0XCm3/dyacfc/36DRMbii2La5X2I185wOzDOOQcPGu8913vxJr/vDs67YyLPrtr9x6nwdZc9bNfPZZ7cWAM4CHKeWKiC9UtKgRUC2okgJEwvja3ti112mFkx6PY3NvamZ07qiJEjIMFaSfNFCQ8PQGGRavQPAHVe9J3uI7N1rVMAN14yrbiplB+HFYL8yDp41H8Oo7Lp0RSFAfw3ACOQwDagf7FJzRWzzrzi+WWzs+SO36Miy58x6GGTeZ41XDwrLFn76gss0vI5//wp+dO/vubf0rh106OJvY4pTxDziNwmEqYiATCUAfcpjLq40i+VGhtzIut1yQZBrsvJ9BMck1UIaOk6T1Tmfcs/kxYn98c5ptwRk17DCKeR+h9MKqf1WsmZDWCjKx7Rg0X54IgDCn8UDpwHIfDcyJ4TgM93fmwVHQeqsz6S15oWfIQ57jGdQkcr3qooTLt9XlNjC9+/cdwXK+lNjH2L1s3b75oy9YdFFEdLWUHQhDsGhJohByMyqK1zAYQMSGqdpkGR4GaxaAjFhdP6iXJyD0j5zRNNuOJpNqnCpVlLAlwTa3s12ZCmK29J48heRUTobJEehYZFepZl5QwE814IhpvI+BQDsoEGg0XO/d64JygmGugteqiXOnlvX2z/6NUKn44CMOxWYv+4lBDYp/GawbgALBhw3Mol/Kdz2za/vH7f/PHFTwYOW9w91b091A8saWB9ZtdlFwg7wl4zICcUCl3EWpZdgo4TINNW1z5uln/FjHXla1ARIKiJKy3BfKE1c4AOEvfiMra2kqKHlqai/k2N79WIIba6H0wJuAwCWyHGRCbGHG5f1nqWsBjHLlciEKujnWbCR5b147OKnDU8rmY1Vv4UdfsE9bmS/1f4WFtT2fP/EMNhX0er0oOPtVYunQhAOx5bvPWz3z8sgvnrV//LHbvfO68ztyjGGgM4PcbepBjDnSRTW294yHQpHIYOc9Ycp2sYP0bwIVSKWSTJ/1aZ8gIIiTIdUqXHcgEK0YESctsnE5JVYhRk09qHzdXNxm36s4AygupvTiQurUgMTlv4vRCqBuEy+8vGOAyDteZxPoXali7rRcfPP5oLFi65Efz5i3+xGRtYkt7x753Vni1jNeUBbfHnj17QamzeGjP5qMqxcGPf+U/1p12zy+eh9MYQ0uRwXMB15GW2waYtuAuAxxH5og6jMBxlMVlphqVlsS4EOCRQGg99P6MxGhoDrOpD6PqWS53mPwMbcGd2JKLeJmtXZtjAMKQIIxke48wUrKgOoi4kheT+3GZgOvIZk6uI+A4HA5TVahiFYaAUgFX82y3ju5Oikm2BBsHVq9Z1Ff6yhGHL/pTEIQbK9W2Q33J92u8piy4PTo72wFgYxCJjQ7F2pZW1veZK4/++tq16xc/8PCTjCJEzpFWLoyAiAtEltrAGGJgxOBz7MmhISicC4TgiLgEexiJWHMmAEx1XyVHxo2dYP1cNNsSI0FaZeVioJuJnzwGAsFlNYIwIghDpRpZx0CJ8UhSQsC4zgASirLIarCcA0FEEUZSCizkIuQ9htaeU6KO2Us2Lq2MfOTYVafsALDhQIUDH6rxmgW4Hi4jALBh1+7BDVEYvbmtkpv9ptOPu+PXv15T2btnR+nFXaOIIsRNjQiRHN1xlO7NpFV1HWNt7TqDgJxU0hAIwghhKOAHKhBJ0wklxzlAqnCltLw0dsyQhOc/HV6gays6auLnqEkgCEyPnAaBH0jPbhz7Ys0rtA5OiIBD5XFRKrPZC14EQgTqDQZfENQbQD1qQXt378SKlatHIx5eWKzOe7FO6ZbiaxzYerzmAa5HT3cHIs639PV1bdszNLa8o0JP4pz/68N/WB8+9uSG9u27BlsGJ0P4PtBWEsi50lJreuK61AK4pCm2ChNygrovMF4LUfOl6XQogcMA4UguzlXfGs2jE7HcAGI+kaF7JyQ+JhTF4HAc+Z5AwGEOhsYoxiY4IhUfol3/ESGx3Ch758jj9wQBoQJ5N0ClXEcYAWO1KsqV7rHZC5fsLVUXO4TSS9u7Fj7M3PIIIDghryr/38sar59vAoBRCkIIz9HJoQXzZv28Wm1Z+u1///6iKz588ec++sFVT52yqvoEKVXqrldUHQqk0pBzKfIeQ96lyLkEnkPguYDnAoUcUCkJzOkWmD+7gaFGiO3DBKM1YNIXaIQipkA80hZUgHOhnCyarxuYJ2Jb7Dh2aiaYjsPheRzFfIhKqYHejnFUysN4fmcd2wd8jE0EqDdC+EGEIOAIQg4/EGgEAnUfqDcE6r78tRGco1zOoaPdrW+fbH9irzj5qRNWv/tzv//dDxYVSy1LW6q9P39hx9gQIeR1BW7gdWTB7VFp7QWkSDC5cdM2UOrc6Ln0xt7+leziRZWb89Hk0oEdm98wObqHMRqikAcYCcGYLvEpAecwoJATKBcidLX5OOnIQWwbjfD9+7vhhxRtBQ4Kqbtz9TANW+0sGitDAUjKeqlgKS3jOUyWFC7kAlRKDbSURvGzxwTu/UMOizsddFYJSgXZW1UwCsLlr0MUReCco1zMwXVdUCeHtq6OqHdu74NtrdhwQmXsivsfZZHr5vG+D94gOrrnTh7q63Uwx+sS4PZYvGgOYFhCuGdw+MO5nNc2OLj3H379n7/ydu58MZrVU1iZc/lxAwNDGJ+YUHzXASjgOgLFPEcpH6C9EuK4RWO47ZdlDNbKyLsEniuQ4yIucaE/LM6UsVzfWnVJ55TaHScAPemUNCXvhaiUahBkHE8814LBMQezKgK1hoDrEHiO3LZe9xFxgWKxhPa2dhTyzh+LufCxnr457JhVp/utre1/4/v+0Nw+6XW85FBfmFdovO4Bnh6dsn7iEIDLAWD92jUghJwWBv45e/bWLgyC2rKxsRoe/9NGeJ6AQyfBaB2uMwmCAKcfU8fC/mE8trGIekjQwk2tEjs4S9IU+YYSAaEoS1zZKvYuytBU+T9Wtg6RpRg8N0IhX8PazREefKKIIBIYHgtkxV7PQ6mziK52D+2d88HcPFrKpWeok7/D87z7hBBr3vpnZxzqU35Ix/93AE+Pw1acBgBrhoeH1syejweICBftGtjLH33yBd4/p2fBovnVTzfGt6CjzceWwadRcsdw0eoxrFs/gkZQjWVAOSnVzh4dN62SHiI5edQBWA6Dap6bDPUNVTkYhwFcae2UBPDDUXzz5y0QHFi1gmFu9yK0FUKsWDYXIhy9viU3/PyJbziFFkrtNJ9zNwH4eWtr66E+ta+K8frQgg7CmBjfDcfxWkeGdp62a/tT6GoLgkef9T7ZWSZnd7Q28IPfMPxyzVPIi1EUcgTlAkW1zDBZ8zE+UY/1ZkBIGdKlKBcdtFcYWkpAzpUudEDeCIQQCHgA8dBaDlEuRsjnQvT3UvTMPRw//G07elop2tv8X/z6YfbljlLorjp+Beb2z1pTbzSG+2d1H+pT9qoc/w3wfRz3P7wbQmBBXxvv6e1o8E07fdx064/hj+9GwSUoFRjKBR4sWXbUtWPj428TPAiCUKorLpNyXqnA0NnKUCpobyNHxAkaPlDIO26hWL7n4Uf+69pZ3dRtKXK4Toi5s0uYv/wC7Boqo6sCWqxEuwA8T8j8Q31KXhPjvwF+AMe99z0IQkjPwMCuKo984SuAO8ppVMgzdLYxFPOqqZYCeK0BlIsu6eruGoHArvlLTjnUX+V1M/4fDVlMc6hDrpoAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjI6MjY6MDQrMDA6MDBj77nqAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIyOjI2OjA0KzAwOjAwErIBVgAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71991265
{'hecke_orbit_code': 256705178793680624, 'n': 1, 'trace_an': 2}
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id: 71991266
{'hecke_orbit_code': 256705178793680624, 'n': 2, 'trace_an': 0}
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id: 71991267
{'hecke_orbit_code': 256705178793680624, 'n': 3, 'trace_an': 0}
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id: 71991268
{'hecke_orbit_code': 256705178793680624, 'n': 4, 'trace_an': 0}
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id: 71991269
{'hecke_orbit_code': 256705178793680624, 'n': 5, 'trace_an': 2}
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id: 71991270
{'hecke_orbit_code': 256705178793680624, 'n': 6, 'trace_an': 0}
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id: 71991271
{'hecke_orbit_code': 256705178793680624, 'n': 7, 'trace_an': 4}
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id: 71991272
{'hecke_orbit_code': 256705178793680624, 'n': 8, 'trace_an': 0}
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id: 71991273
{'hecke_orbit_code': 256705178793680624, 'n': 9, 'trace_an': 0}
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id: 71991274
{'hecke_orbit_code': 256705178793680624, 'n': 10, 'trace_an': 0}
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id: 71991275
{'hecke_orbit_code': 256705178793680624, 'n': 11, 'trace_an': -2}
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id: 71991276
{'hecke_orbit_code': 256705178793680624, 'n': 12, 'trace_an': 0}
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id: 71991277
{'hecke_orbit_code': 256705178793680624, 'n': 13, 'trace_an': 0}
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id: 71991278
{'hecke_orbit_code': 256705178793680624, 'n': 14, 'trace_an': 0}
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id: 71991279
{'hecke_orbit_code': 256705178793680624, 'n': 15, 'trace_an': 0}
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id: 71991280
{'hecke_orbit_code': 256705178793680624, 'n': 16, 'trace_an': 0}
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id: 71991281
{'hecke_orbit_code': 256705178793680624, 'n': 17, 'trace_an': 0}
-
id: 71991282
{'hecke_orbit_code': 256705178793680624, 'n': 18, 'trace_an': 0}
-
id: 71991283
{'hecke_orbit_code': 256705178793680624, 'n': 19, 'trace_an': 8}
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id: 71991520
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id: 71991521
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id: 71991522
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