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{'Nk2': 9504, 'analytic_conductor': 18.97245552025622, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [11, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2376, 1, [1783, 1189, 353, 1729], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 28, 'field_disc_factorization': [[2, 2], [7, 1]], 'field_poly': [-7, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [0, 1]], [7, [-7, 0, 1]], [17, [-3, -4, 1]], [23, [-19, -6, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679891272, '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': True, 'label': '2376.2.a.j', 'level': 2376, '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, 11], 'level_radical': 66, 'minimal_twist': '2376.2.a.i', 'nf_label': '2.2.28.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{7}+q^{11}+(2+\\beta )q^{17}-2\\beta q^{19}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2376.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 238606371249604189, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.999', 'prec': 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'ALdims': [3, 6, 7, 4, 5, 4, 5, 6], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [44, 46, 48, 45, 51, 46, 42, 47], 'Nk2': 9504, 'analytic_conductor': 18.97245552025622, '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': [2376, 1, [1783, 1189, 353, 1729], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 409, 'dim': 40, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 17, 23], 'hecke_orbit_code': 33556808, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '2376.2.a', 'level': 2376, '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, 11], 'level_radical': 66, 'mf_dim': 456, 'mf_new_dim': 40, 'num_forms': 18, 'plus_dim': 16, 'prim_orbit_index': 1, 'relative_dim': 40, 'sturm_bound': 864, 'trace_bound': 13, 'trace_display': [0, 0, 0, -4], 'traces': [40, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -148, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -212, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -172, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, -172, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 212, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, -244, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -252, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 428, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, -172, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 176, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46791509
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679891272, 'source_is_minimal': True, 'source_label': '2376.2.a.j.1.1', 'source_level': 2376, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679891272, 'target_is_minimal': True, 'target_label': '2376.2.a.j.1.1', 'target_level': 2376, 'twist_class_label': '2376.2.a.i.1.1', 'twist_class_level': 2376, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46791510
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679891272, 'source_is_minimal': True, 'source_label': '2376.2.a.j.1.1', 'source_level': 2376, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052520776, 'target_is_minimal': True, 'target_label': '2376.2.a.i.1.1', 'target_level': 2376, 'twist_class_label': '2376.2.a.i.1.1', 'twist_class_level': 2376, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46791511
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679891272, 'source_is_minimal': True, 'source_label': '2376.2.a.j.1.1', 'source_level': 2376, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 103582791463080592, 'target_is_minimal': False, 'target_label': '4752.2.a.x.1.2', 'target_level': 4752, 'twist_class_label': '2376.2.a.i.1.1', 'twist_class_level': 2376, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46791512
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679891272, 'source_is_minimal': True, 'source_label': '2376.2.a.j.1.1', 'source_level': 2376, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108086391090451088, 'target_is_minimal': False, 'target_label': '4752.2.a.y.1.2', 'target_level': 4752, 'twist_class_label': '2376.2.a.i.1.1', 'twist_class_level': 2376, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2614125
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532396679891272, 'p': 2}
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id: 2614126
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532396679891272, 'p': 3}
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id: 2614127
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532396679891272, 'p': 5}
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id: 2614128
{'charpoly_factorization': [[[-7, 0, 1], 1]], 'hecke_orbit_code': 40532396679891272, 'p': 7}
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id: 2614129
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 40532396679891272, 'p': 11}
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id: 2614130
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532396679891272, 'p': 13}
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id: 2614131
{'charpoly_factorization': [[[-3, -4, 1], 1]], 'hecke_orbit_code': 40532396679891272, 'p': 17}
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id: 2614132
{'charpoly_factorization': [[[-28, 0, 1], 1]], 'hecke_orbit_code': 40532396679891272, 'p': 19}
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id: 2614133
{'charpoly_factorization': [[[-19, -6, 1], 1]], 'hecke_orbit_code': 40532396679891272, 'p': 23}
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id: 2614134
{'charpoly_factorization': [[[9, -8, 1], 1]], 'hecke_orbit_code': 40532396679891272, 'p': 29}
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id: 2614135
{'charpoly_factorization': [[[-12, -8, 1], 1]], 'hecke_orbit_code': 40532396679891272, 'p': 31}
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id: 2614136
{'charpoly_factorization': [[[-19, 6, 1], 1]], 'hecke_orbit_code': 40532396679891272, 'p': 37}
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id: 2614137
{'charpoly_factorization': [[[-59, -4, 1], 1]], 'hecke_orbit_code': 40532396679891272, 'p': 41}
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id: 2614138
{'charpoly_factorization': [[[-3, -4, 1], 1]], 'hecke_orbit_code': 40532396679891272, 'p': 43}
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id: 2614139
{'charpoly_factorization': [[[-27, -2, 1], 1]], 'hecke_orbit_code': 40532396679891272, 'p': 47}
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id: 2614140
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 40532396679891272, 'p': 53}
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id: 2614141
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 40532396679891272, 'p': 59}
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id: 2614142
{'charpoly_factorization': [[[-112, 0, 1], 1]], 'hecke_orbit_code': 40532396679891272, 'p': 61}
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id: 2614143
{'charpoly_factorization': [[[36, -16, 1], 1]], 'hecke_orbit_code': 40532396679891272, 'p': 67}
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id: 2614144
{'charpoly_factorization': [[[-96, -8, 1], 1]], 'hecke_orbit_code': 40532396679891272, 'p': 71}
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id: 2614145
{'charpoly_factorization': [[[-96, 8, 1], 1]], 'hecke_orbit_code': 40532396679891272, 'p': 73}
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id: 2614146
{'charpoly_factorization': [[[-47, 8, 1], 1]], 'hecke_orbit_code': 40532396679891272, 'p': 79}
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id: 2614147
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 40532396679891272, 'p': 83}
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id: 2614148
{'charpoly_factorization': [[[36, -16, 1], 1]], 'hecke_orbit_code': 40532396679891272, 'p': 89}
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id: 2614149
{'charpoly_factorization': [[[-103, 6, 1], 1]], 'hecke_orbit_code': 40532396679891272, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '2376.2.a.j', 'level': 2376, 'portrait': 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A1Y6kgGI5/AEwijmZ/SzE2mLHdCOgPBMPFZ6Qs2TWqW2pqTFxQ1P2DTDGybj9g4O2TD7IhNsyO2bTTs2KS4crtPXTU5dnKCe58MePhgwuMnYlLV5Y0vafPWFxnqapaDJ6Y4dtbjzMWU8w7chxcNN129wM+9c4Xtc5OcvTjFxZUaS22f5bZkpZvS7aX0hoKDxxc5eKp95WOHLr706OkLu46fvfi5W1/9tujuz3/ouYbEN3T7O83gyytthpHBU7zr7keOvuhnfv3D8u0vOvSif/3WM97CykaW2xMstRsstQOW2h5LbVhupyy3Y5ZWU86vwpElwfzcKr/wvUvcvLfBqQsznL3Y5Oyix4Ulw/nFhNMLKRe7CVMzQ158bY8XXAGBrBOqkAvLNc4tepxfFvRHkCSaWqBp1lKmJxM0cOJ8QqcHOzf6NOsjjBEgAnoDzY5NI5ZWPTBWiqz2YJSAwbDcjti6wac7UAhlEHrERM1nx+Yhq33BibMeqfaYnZC0aoLQhyQR9EeS88uSc0uGCysJYTgEP+HWq3q86GrB/ESdpZUJTl0IObsIFxYTLiwnnFmGI0uGG69a5Be/d4VNUxOcPD/D+aU6CysBi23J8mrKSidmpZOy3NUsdiWnOrC63OHX/nWUfPdral8L5n5EB40rvybRP5PiE9YmnmuoPOPt7yyD/9H/+jAvuvUG/t2//be/9P4Pf/lfv+f9X7x038n2rsNn+vLF1/S4ZEtKqj2MURhj2RsjAQkIhDB4whBIOLtU5/7Dkmv3LHPF9iGNGvieJPAVQeDRrEsavqTf8zlwvMYXHg44cXFEJ4k5cGrExtll3vTiFa69tMuNV7Q5vpiw2Bc0wiFHzxranSbXXCJZHabsO65oNTyeOgGXbTEMo5RhGuB5MdMt2H8qRHkpvkzwfBiMJDdf0WfQl1x7aUpnkHLibIvdmxTNRsTqyLBhqs9Kr8MHvwyPHkt5/NiQnVuWuO7yDtMzEW+4tcu3v8ywZ1OLNJ7i2JlJjpz2OXVec/pizOmLKUcuCk6uxjxv7wK/8L1dNk5Ncer8DBeWGiysBiy1JSvtlHY3ZrWXstIzLPcEF/qKlU7CTVcs8uNvvijrnth18fyJ3YNBcks4cUm93pj+4sP3fozffc/7n2vIrHv7O8ngH/jAX3HtlVvVXfcd/o9HT57/2YeeOK7OL0csDRVn+4Zrd17g1350gev3NLiwNM1Su8Fyu8Zy22e547HShZV2ykonYbmbsNiGUysCrz7khVcv8x0vi9i9oclqb4KLy3UWlgMW24LltpUIK11NZ6DpjAz9YcLsRMyOjRoQhL7h9EUfIUN2blDs3mLYsqHPhZURjx1q8fzLDI36Ck8enqHVjIgin9lpzWAIV+4Y8mdfnuLy7QmjkWFuUhKnA1q1kKeOD6n7Ta7fm/D40YgLSwFbZ0N2b4YdmyKUijm9CIFvEMKwc2PCdEvSHYT0+j6dvs9yR7G8CkttzXI7ZbGdcr4NS8OUHVt7fMdti7zwCo+aP8G5xQkWV2osrnosdwQrbc1qN2alm7LaMyz14HxXcWE14ebLz/PuH13isq1NltoTrHRq9IaTqNqeNKhv/qWBvOQXA302fenLv/W5hs6a298pgB84eJB6rVY/c+b0jkcefeodx06c+S/7D51mGEt6Q1gdWEY520248ZLz/OqPLnPdJXUurkyztNpgpVNjueOz0vFY6UC7q1ntJqx0E5Y7hgttwdmeAdHjrS9p84abNZdsrhFFDVbaNVZ7Ae2uYqUn6PYFw5EhSgxpCkoaQh/qoWFqwrBhJsbzhxw5F/HE4RCdNHndLRGev8pD+ybZtRk+c3/CS64JudgeUPMUSRozMw1J7OP5CUtLDV58Q4fP3NNi92Z48NAInwavvVmTiAFPHEk5drqGJwM2TntMNwX1UBAEAiUg0RDFhmEE3b5htafp9jWrfc1SzzBIU3Zu6/OGF7R564si0C2WVie5uFy3ervjsdKG1W5Ku5ew6sC93IdzHcVCJ+XGvRd4949e5KqddRZWpljtNmj3Qjo9n3ZXEDS2UWtu/A+bt135F9u2bT05HA4Hl12297mGUn77OwPwE8cOMz8/Hxw6fPj7Dx469FsPPvSoWFruyeFI0xtqukNDdwCrA8nFgeRcN+bmSy/yKz+0xA2X1lhcnWJptclKJ2S1G7DS9VjtCtpdQ7uXstpNaPc0Kz3Dxa7gXFszPdXn1Td2ufWKhJ0bFRN1n063RuhLQBElEq0F2kB/CAjNdGvIoTMGbSJuf7DJqF/n0q0BL7y2T6xXufPhKa6/zOfQ+R7tlQlecG2fLz4UsnHGsO+E4Z+/pcO+4yEbZyRfeFjxwisVy/0OR0/NcP3eiDufGJCMGtx6VcCe7UMGSY/PP6QgFRw57THR8PAE9AcSbQSpNsQJIDVeoGn3DM1WzPbNI150ZZ9XPz9htlnjwvIkS6t1Vjr22Kx0BO0etLsJ7V5Cu5fS7huW+5LzXcFiN+GWyxf4pR9a4LrdNRZWJ1ntNuj0Qjp9n27fo9tXdAeCOK3pPZdda3ZdsufH91xy6R8tLi5El1/+dwPkfycAniSJjEaDNz1472cu7faSdz/w4EP+YATDyDAYpvSHKb2hpjc0dAeC9kBwcSA520649cqLvOuHFnj+noDVziQLKy3avRqr3YDVnke7q2j3odszdPoJnV5Kb6Bp9w0LPcFCD+J0xHWXDdg0k9LrG17/ghG7NmmSVOJJQxTDHY/VOHmxxubphCeP1EA3uGKb4obLNWGtz0OH+iwsNrl6V5OJqRXuedznpstqLPVXWVmZYNMmw/37FP/4FT0e2OexbYPPYq/NyvIMN1zZ554nU2bqU1x9aY+L7Tb3Pz1F3Wty4+WGvTuGIHs8dkywYSbmwkLMnY/5DGOFlJBqw67NEa9+QUS3p9gyrbnhMoiiBsvtBsvtkNWeT6evaPcknR50+imdXkq3n9Lpa1b7huWB5ExH0B6MeOHeBX7xB1e48TJ7cbS7dTr9kG7fpzvw6PQVvaGkPxB0+ym9QcINN9wYa+P95Nu+/U2Hm436J33f1881tp7zTOZo1CeO+9976thDv3bx/MGZCxdWaNZtmloIA/Z/7mYtQCEMUhqk9Hjg4EZ+5g883vLCZb7zFcvs3hpxfmmCMKhTDwMaoU+z7tGtS1oDn8mmZy+YQcrGkWYwMnSHIcsLNU6fMkSJ5sz5hDA0gCBQBk8K+gOFwCfpezxvl2DPFsOOrX1GaZfPPqDYf3ia1zw/5IYrV3jfZw2BaLBra5/H71FsnVLMTfSpqTpR7HOxC82ax7aNgkf3R9ywt87Lrl/kjz81IPBbvOoWgx/2+dL9EZ+5r8nTx+pcsqXBrs0p89MRu+dirtmVopTGUwYwNMKQ+amQKPbp9gOePOTbEoWBBWJvAL2hode33707SOkNDJ2BYXUAC33FhRVDY7LNT7xugW994YjrLmlybnGCdq9GNwe3ojdQ9IeSwVAwGFkCiBO48+4H/InJ2V+b37Bp+baX3PyvOp3+H09MNJ5TfD2nAI+jHgh+8Oyxe951dP+XZqJ+j3oYYJwTYhCAAmGXGiFACttJo6RByZRASh4/NM8jB5scOnuRt7yox4uuGjLVmmC53aDZqTExCOj1PXtyhpLB0KM/8hiODMNIE8WGODYkqb1HSYDRIJXA9wS1QDDVEky3YNOcZtvGPnPTbT73ENz1iI/Uk7zm+T7Pu6LL3U/HRMMJXvg8QXsw4OJSk1v3auam+tS9kGGiWOjEKC143l6PRmvEwwdqvPSGSV5wXZeHDygwkzz/qoAfeOMyX3w04gsPNNl3ssaOecWmmTrTrQaTLaiH4HsGJUEb2HdMkKaCOBFECYxi7HccpQxGmuFI0x9q+iNNbwCdESz0JBe7MNJDXnn9Mm96UZvvfpUmSSY4v9ik06vRHQT0Bj69gaI7UPSHgr4D92CoGYxSRpFmMNJcPHaWs3/x2ZneMPl/v/UNL/M63f4fTLSeO5A/ZwCPRksI0h9YOH3nuy6c+OIGZXo0GyFyZFc1ASAkAoEQCiEEUuLADUoZPGXwlabuCxb7dT7w5W186ZEOL7lmlXe+cpVrdveYnWqwtNqgOwjpD3wHbGXvkWAUS+JEkCR2qTduuVDS4HlQC6BR18y0YrZu6JPQ49CZmA/eWePoqSZTYZ2brvK49doO9x9sc/u9E9xyWY0dm/v82ZcFSoRMtGJWeyO0ASVgfqJPpxugkzpveslFPvCZBnsu1HjDLX2ieIk7n5glTmvcfNUG3nBTh8u2t/nSw30eP9XgsWMB22YkMxOCRigIfHsRSgFCGLQBrQ1x4i7W2DCK7YU8jGAQQXcoWBkJlrsgvCHXX77KO1+9ykuuSpmdqLPSadDu1un2Q3pDn96gWAn6I8lgCH134QyHKYNIMxwZRhEkRnH2Qps//sAXNvRHvOvbv+XF5tzF5T/cvGHmfw+Am+X/wnJ3D9Hyh79vNBy+u3P+6TmPLvVaCCJxvO0hhEW5EBIhBEJIlPSQMkUp4ZZnja8MoWeoe4KVoWKpPc2H7mhy35M9XnjdKu981SrX72kzm9ZJkpD+sEZv4DMYeUSxIk4kSSpJtUAbYbOgwhAGmkYtIQwiAn/EmaURn3pQcvh0wLHT0ygdsmdzwJW7Fc+/ooMKF3jiSIutUw2uvgQ2za+w3Jngmq2SRBs+90DIqC+Zaia89uYhn7wz5uT5Fpdf6nNudchTR322b5zmut0L3P14l3ueEoyigCt2z3DF9pArtnU5cm6Zw2fggf0NDh1t0vAEoSdphoaaD1JaYjDGXqxJClECUSrojQSdoaATQ6QTtBly42Ud3vnqDi+5JmXzTMhwOMlSu0a3F9IbBvQHHr2hoj9UDEaCwVAyGNm+0eEotR7/yIJ7EGmGkXV0olSxcK7D7/35VzY8dOjiu+vNZvKffvsz73v6wAk++Gs/8g8X4P/2l38Hpn8X0377d8vo6G8knXNTvgxp1GsIKXMJIgSOtbFsLQVKCTyl3KPGUym+Jwg8TeAbQt/QCFKmaoLuyGelM82H75rgy48N2Tjd5x23tbli+5DhoMfVuw3bNylGsU+aFml+gUFKje+lnLhgOHZesDrQfPzuBmcWpzGRz3RNsWXWY+cmj0u2wtV7Omi5yO9/ssny8iS3XOFx9Z42X3pMIBKfDdOSZiOhHwdII8FIlBfQHgouLAuuMg1ue36Xrz1cZ8tcwC1Xz/BP37jIH32mywMHmvSGPkurLXZvqXP55j437+3ybS/tcnZ5mY/fHbLUDzlxzufMmQBfCaS0q542hlRDrA1popmejbn2qj6jUcwV20e87bYRGyYVM62QOK5xbqFGfxDQH9lVbpADW1pwjwTDEXYlGKUMI80oSq0Eio0DOQxiQT8SDFKPM2c7PP7hr81dfcncb7zghk3xB39t7v0Lx/8r87v+7T88gP/IL7yP1t43ie/5d7x968RT7/mOlz3VuGZ3aLU10oG6ALgUBimtVJBSoqTEUwJPuUdP4HspgScIfE3NN9RjQyMyTNZSpuuCfiTpRk2OnW7yK++fAZ0gkoTnX9tn96aIJAFtNMbYJI4UAqkEnh9w4GTAvsM1mjWPViCZawjmZyUbZjy2zCt2bk65fOcqqVjif3xkghMnp7hlr88Vu1IGSZd7nwiZqvvMThqmWhGNupVCWkvaQ8Vyz7DUTmn36rz46lUe3Ndn/0nF1ESNm6+a4ofetMRvfhQePtykNzCsdj0uLE+waa7BhukhO2eH/Nu395lotHn8GBw4JfF9g1IGITRZdG4MJAns2pTywmsS0tgnTkKMaTCMfM4vBgxGdkUbRiqXb4NIMBwJhpFl7VFks7KjkWYUaYaxdu+ZnLkHsWAQC7qRYCUWdGNN2h8Q9x+b+tZbNr3nfy7sSOTcWz40POeZ2uZ/+Q8H4P/qXR/gkm3z6qEHP/7Wg8cuvu9PH7hQe2z/FL/yYx2u2N5DSntShNBIESKlQUkfpQxKKpRSTm9LfM9qzsBXjHzJKNKEUcooNtRjzSjWRJFhIoFRrBklECWCYSwZpSFxWmP/4SaP7YfUGCy0rTb2JQTK1ny0Qrh6M0zUYbIpmW4pZqc8NszAjk0jNs+vEptl/sdHJjlydJIbLlFcsk2yZ9sKX3kq4cLSJM/fLZme0NSCAaEMMUqQpBJhDEkasdKrcWHJ54Yr6jxvb5e7H66xcVrQqLW4Ya/mJ966xG98VPPUmRarPc1qV7Gw4jE31WR6os70xCQTjZj5ZszOGyJCP8H3EpRKkcIGEwZ7UcWx4uKCR5wo4kQRxYpR7B4jySiWjCLJMJKMImED1EgwigyjyB7XUZQSRU7Tx/b9YQTDWDCMoZ+DW9KLEvSwz/N2r/DL/2yR11x7tjHoivcl/c/qob7iI4vHfy+d2/W3L1f+1gH+87/6ASaboTp2/MzbTpy8+McP7TtXozXNZ+/38D3JL/7QKldu76JkilTaglv5KKXtozT4yuB7Ct8z+JEk8IU9Cb5gFCii2AI9jg1RklpXJCndU0hSQ5pqUo3V25oc3JkU8iT4PoSeoBYKGqGk2VBMNiTTk4INMwk7N/VpNVf5yNci7nxihtXFCa7dodi52eey7UNSscrnHmjQ9D3mpxWtxpAnjsDTRz2u2W7ojxTXXRZz7R7D+XMpCysBg2GD193U5auPDzh0RtGsS8Jggmsu0fzi9y1xx1MDPnnHHEsdw84NKSttj6kJxWTTp9XwadYNtVATBprQS/GUlVrStVYag01YaUGiJUkqSBJBnEiiRBDHklFsnZcoFkSxIYpgFKdEsSYqEccoLt8tuAcO3J1Y0o6hP4qRcY8bdq3w8z+8zOtu1vT6E/SHx2ran/gT4Tf/yUjO/uWZg3+cbt37T/5+A9yTWi6vtr/z6NEzv7N//8naVMOjnXjEQvKJexTRSPG2l3d4+yt7TE+kdKXGk6nT2VYP+56HH3uEnmLoW6YZ+ZIoEESxsCcnVsQJRLG0DkJS2H5JqklT6y6kxjklzi3J3BklrewJPEEYSGqhpFkXTDQMUy3NxpkR89NdErPKh74q+aPPzLKhVuPaHYIdm312bdHs3LzCR+41LC/XuGKTYnoCWo2YC8clF1dCgt0wigXzk5KpKTh0zLDS0ZxfrHHZrhqveH6XT91VY7YFYRCg5BTX7BH88Bsu4suLfOLuaZ4+U2NjJ2bDVMJkU9GqKxp1ST30CAMIffA86zBJAVKUQI69sFMNaSpIUhzQIU4NUQJxnFpSiDVR9hhrZztmroyzIBMrSXqxoJNIurEmGkZMhh2+43VLvP22Hq+6ATq9FoNRyCgKGXaO17x6+B4V+p4QwZ9jeebvJ8Df88cfJdH6++669+ivHjp8amKyrggSgxSCjvAZiRafe8Dj3qdqnFtZ4p9/W5/piYRRWKPTr+GpAN/z8T2fIEqJfI8gstIkim0q3TKOsEzkWClJIE4hTa2ToLUNuLQ2WQ+nA7cFuA1cBb5nAVILoVHTtOoJU62E+akBc9OrfG1/xJ/cXufAsSl2Tfrs2QTbNgVs2wiX7+jQTzrcv2+CuvKZn1ZMtWCqNWJ6MiEIPISwF9dgFLDciVntG9q9hIsrATs2tXjBFRe5/YE+B85M0AhjfBUgxCR7tiq+51WL3Hj5Rf7k9hb3PznFUs9jw0TCVCOhUZPUa4rQF4S+xPdtrKIUzj60KDfYHlatyYGepNqtbs5aTDRJasGdxBAlprjH1pUZJpZU+rGgkwi6CQyHCToZMFvv8OPfvsy/+a4ejTCg3a0zikJGUcAo9okSj+7iyQlV8/9Ha+Z5wcHHP/ZHe6/72yvS+lsD+PJKGyXVD/7uez/8rpMnT8+2aoIoNShh9a7nQD6QktWRx6/+hc++Iyu86aU9bru+y8a5iG6nzmAUEvgJYeAzijzCwNp7GcDjWBIldtmNE+dppzjrD8fcEm0owG2TlI65wVM2YRL4hlqgqdcSWrWE6YkRm+c6XGj3+a2P+3zuwRmWV5pcOi/YsUGwdUPAtg2C3VuGeMEqH7jT4+ipJns3SqZbkslmipQjziwYQk8iBRgjiGKPnRs6PEBKp69Y6RguLNfZu63Gt93W5i+/FHD8QojvxQjho02TOJE8f/cKO7+rw+ce7vNnn5vhoeNNtk4L5popzVpKLRCEviDwbaziKWzgLEVek2GwF5k2WKcltYDPQJ6kVtJZsEOU2lqXKEseJYJBAt1E0k1gEGnS/ohtc11edsMKb35pn9ffpPFEg5XVGqM4JIp8otgnij2iRDGMFFHv3Kzf2PPuK573VjUctv+gVvvbmbj1twLwlZU2QeD/009/7s53Pfr4UxsCzyClQCZ22bRZSIEvBT0p6coa7cjjA1+pccfjXW64osN3varPG25pMzsVMhiGDEYBoe8TJfZAZYFSkijiVJIkkjgVJIkkTQWpFoXW1oJclZjMrbHJIuWSRYGvCYOUepjQqo+Ym+oxiAd86QnDB78yyf1PTjEd+Fyz1bB5RrJxNmDLvGTbxohLtq7w+PEBH//qPJPKY35SMNEUTDRi2v2Uz9xboxVYd0gbGIw83vTCEZ++z9bEtHuaiyse2za0eMuLety/v8u+QwHNMEFJYUGuGwwjq/W/5xVt9m6+yAfu6HDP01OcXKmzaUIwWTM0Ak3N0wQ+eEqgJC5BZr93Vn6knVTTuljhEgd0SxAQp4I4dcBOBcNE0E8EvRQb80QRzXqft7xmme98VYfn703ZOO0zGDbp9AKiOGAUFecsim2wawlKcPrk/g1eeO+79lzxEt3vdd7baH7zGye+qQBfWV1ldbWHge/9wpfu+q+f+dwXZ9urq4SBQqUO3MKmlqUAT0AgIZTQlT59X3G6E3L2vgb3PdHjL6/t8rZXDHjtC4fMTAVEo5BRYtkgTjxiB/QkVSSpS9ikBcC1ccyti5oy4WxIJW0dh+dpAj8lDGLqYUSrPiBlwBcflrz/y1M8eWwSEYfsmjZsnjLMTSnmZwI2zUm2zMfs2NTh1EKX3/1kk2RUZ9s2wVTLY6IJE40Y4Ud0Bk2mWgYhBMZAnEhmQkWiE7pxQLefstJRnFmoc9UlLX7kW1Z595+HnFho4qnYXRgeSVJjGEk2zYY8/9IO117S46kTZ/jgV+rc/tAUZ9t1mqGiFUDTNwSewVfgSXvMhahW12nAaHvRpVqQGkhSYf3zVBClNkk0SAWDFAaJIUkSdDxitjbgda9c5R2v7PKSa2Im6z5R3GSlHTKKA+LEc6yt3HNFlKh8xY1jyajXpvPoHRuSVP7XSy+/KVleOvu/gqBJs/XNY/NvKsAHgwHT080333vfg7/5mc99caLT6VCveSROdwsKf1sKe+C91BYzBUpTTwV9FdBPPC6OanziviZ3Ptnn5i/0+L++vcuVOzpsmFJMNDyiOCBKfJKkAHmaAVxLtJEYYyWByQNKl+pXxgaxXkIYJPgqojOIWejE/PpHahy7OM3D+6YwOmC2LtgwZ5ibFMxOKGanfDbOSjbNJmyd7zM7tcLnHtE89PQU124TTLckrYZkoqFp1iOEPyIMPTxl/74xkKaSwchjMIxJtKA70HR7huWOz/mlCW69vMcLrlrlA1+oUV9WeDK2gDQeSRoQxbbHc26qxo17etx4aY8HXnaWEwuSP7l9iourDU4vhQRK0vQFQSbDpCWZnMgzqYJl8sQIEg2xFoxSGCYQaQNpAkmMVCO2TA+4dqc9HzddmTJR90iSJu2uBXbigG1XWM/JxgLccSrdo7VMe+0Ojzz4lVltvN+8dO/1K8Ph4OPfTEx+0wB+8NAhNm/apN7/5x+8dN++gxP9ngV36nR3lrSJU4FKjK31SMFLBb4yBImhlgoaSjBQgr4XMkh9lqI6tz80ydeeHtAMR/yT17fZNpuwa8uAW6/u4gnbIiaElSs2K2lrpY0pMTcGIQ1KWM/ckIBMeOqY5MH9Hp+6v8VTJ1tESYOWp5ivG2aahumGsT74hMfMpMfslGDTTMKW+QGb51e488kRv/+pDWye8pifgImmYqIpaDUS6uGIrx1UDCMPv2lBZYwgSiQ1T3H93gH3PTFlC58GKasdn8XVkAuL0/zIGy5wenGJ+x6dx5eAiNGQA2gUSXoDj+lWjamJJi/Y2+dl1/b5rpcvsP+U5tP317h/f52DR5skwmM0UvRjhcpLH8qBp8sJGE2iDUZrfJEyGUTUiHnBDT12bx6ybS7mna8dUQ8kzbpPFDVodwO3knqOcFTutdu7XHvPbUpBknp0lzs8cP/dE2fPXbj09f/o29XxY0fSXbv3/N0B+L79TzM/Nx08+OCD35+mya+utpep13xbD5FlKKXT4dIytkqwEiE1eAn4UuBrQ5gaakrQSAUjDcPUZ5D69NMa3W7Kf/3ANCaJ2Tg/5KodQ2YnE972igE7NkTEsXB6W0KJuck/g0ZIwYfvqPP4kSbC8zhxtsGZCw1qdcVkKJhqGiZqmokatOqCyYZioqWYbnnMTsHcVMLG2SFbN3RIzSof/uoEg16Ty7YZJhqKVkPSqmtatQTfj/jcfTVGfYm/wXaLZhKlWVe87uYBdz2i6Y0kvUFKp++x2vU4v9Tgyt0t3vaSDg8/1eDEcgslNRA7vewTp4pRbBMzvaFHuxfQqjdo1kdcuW3ILZcPOXWxzfFzq3h+ymNHPf7yKw2EsoVrjM8fNBrQYAxxlLJzY8I7XjFgbiLl8p2GjbOQJj6jqEWS+Kx0fJJYEaeei4MsoDOA25hIulqfsgFQMgISYT157bGwuMz8xvhXH3/s4f6WrTv/6OCB/dHey6/4uwHwc2dPs7K8uPfUqdO/9chDD0pPSSSSJLWFS0oaEmkcuCFxbJ5ogZdYnRinBj+1GjD0DLXUkKSCSBuiVDDSklEqibRPrGGhN8FXHtcYUj52vx3ZgNHunmXxnEUmsopEiVSKJPaQ2iaaWiHsnjc0fU0j1DRCaISCZl3Sqls5NNmSTE/A7GTC/PSILfNdUlb49b+qcfcTG9gzC9MNx94NSaue0KhHNBsD6vUGoZIo6TQ4Vg7Esc9wIBiMUrojZbuWBtq2zDUDTl+Y5MVXjfiJt1/g1/7S4+RqiBAaY2J0aogTnyiWDEe2jLU18GjWAhr1Go2wQS2MadUjnn9ZRODH3HRZwjtf2cdTiUsCaVtvXxblTtJpLRFCEvoKCBiOPJZWPFu3k2Yxj7snsoiBXOFaBu4M2FliKXFBa/Hanm8LdsNDDz0ok1T+Vrvd/+ooGj75zcDm/2eAf+4zHyf0/frJ40feevjwIVGrebaVSmrH2gW4lbIJGKkMKgWVWm2YpOCltvcxySL61EX1WWSvRfFaCyItSYwk1R6xDkmd7VW+5VlKZ0t6EnwFtbqh5hlqKiX0IfSgFhjqoaAeSBp1SaPmWYA3BVMtzcxEwuzUiA0zPbZsWOL3P6X5s9s3sn1KMdfSTDQVrYai2YBGPaVVjzm3pDlyLqQW2Asasko/wTDy2L1Js2luSGcYMBgax+KS1a5Hq16j1Zjina+8yNFz53nPx7fiSQ+DJtUpiTbEiccoUgwiWxTVr0kaQ4966FMPU9pdG2MEfmoTZn6KJ22jhJSpq/sxpcYSWxlkQS5oa1dlqW1ck6YSrSWJLuKdxGnpxAX3SeU9C+Q0LYPbJpniVJCmWb7CvhfF8PAjj4lLL+2/dfeuXUc+8pGPDt761rc8twAPAi9YXl746eWlCz+dJiNZC6QFp5Q5wKU0pNKQalfLnQpSJ08SDV72JbPkgzbutcnfK54XlXLWyxV5oFTW3IDL5BkX0Go8iatpAV8JfM9Y39gT1EJJLZDUQ0W9pmjVJa2GYbKZMtVKmJkYMTfdZ8fGJe4/OOIDd2xhuhaysaWZaAgL7rqkWdM0awmtxoj7D8Bj+xtcOm+c7i3S5oOR4qbLDZftGPDAk1P0R7Y9rzfwHMh9GrU69doU3/HSZR47eJH79m0Co9A6tfIvMSSxyetJBiOPxtBQrylqgSYMfMIgJfQ0npfiezY7rJR2RWx2hUUYBIWeK4JzW0KsM0dKZ/ZryYrNgK0tiIvX5MDO7pbA3GPpnrqkXJrCMBrIs2fP/cdGoxE0W61fAqLnDODDYV+ORsOf/8wnP/CvVpfPBYHvkWrnu6aCVAjSCsAtsJVLKqTK4Gn3XNsGWp2SP0+zjJvJMm8G7TJxWbLCGEMp815ZcbNUdZbQUdJlLBWloi2b/QsDRS1U1ENBoy5o1Q0TjZTJZsJUa8Ts5IAt8yvcd2DAz//xRk6enuKSOc1UAybqimZd0axBs5ZSr8UE/pD20BaL+crGH9kt1ZkWDZiox/QTTd/VWfeHKd2+pF1XNLohtbDFrk0xv/j9bf7T+yT37tuIQaGNJk01SZoQJZootgmUQSipjxS1QBIGhjBQhJ7G963f7ynj6nzcqupkihCm2qDrUvvGkYhxtSypA3yqi0dLRtI9igLg7nlakiJZ8s1eAI60XDmFTg2pNhw/eSYI682f/P7ve43f7/f/Q6PR+Bun8//GAB8NOxgT/9LBp+76vzvLJ2v1mrSgTAWJSy6k0l6xSgoSlQHZoKUFd+rArbPnWqC1ydPIOvdowWhjpY8rAS3fGQN4VnorMnCLrKbcSiLPtaL5niQM7ACgWmhHMtRDQ7OmaTVSJhoxk62ImYkBW+ZXuW9/n//0R3McODnDzhnrsLTqkmZDWvauGxq1lEYtJk4j/vQLLaRS+NI6STmDm2wJ9/me16zw+YciulFI3wG8N1B0e4p26FELQkJ/gsu3J/yXH1ji5/5IcM+TG9FGkmqbVo8TW2g2ijSjmi13DUNBzReEgc1sBp7JM7ae0lYmysK2zQFepDwBRyLYXIJ1W1wgnwHYTR3QeXINx+7kK262OhcAN6XHEi6yRyPYf+BY7dOf+8q/fOPrXyVWVjo/Mz39N0sC/Y0BfvbMUYwxLzh++NG6YETgK3slSpApjr1BadyjIJWCNE8PZ+DO5Id9T+e1EkX7lQW6sHUUGaizAz/2uYreTVdnIimKqVwduQW4xPelrd8IBLXQzjxphCnNugX3RDNiamLA/FSb+/f3+fn3zvDUiTm2TQtmmyVpUvNo1mz9Sr2WUA8jfH/EmaVpfCVQUjtbrggy01SSJIrN04YkienENdcpoxkMU7pDSb2vqAU+gV/D9ya5YlvCf/mnC/z7P4T7nt5AqqUFeGqIk9QxuWYUamqRZBioXIL5Pviec66UtLkA6dwtAcI9roNxK1dwSSFEnhzSLjmUZYvTtPS+LiRnWgK21sX5znFQAnn2GMUj7r7nofreS3e/QEr5dfH4TQX4gSc+QyMcNL56x5eDfr9tewK1q15zgE5VETyk0p1Ulb22TJ165F+yCuxMhpgc6CaTI9nzZ/hsUhRFVFKClCIHt5LSNUpk8gRqPoSBpl4z1EOrnxv1mIlGxFRzwNx0m4cODfm5P5jmiRPzbJlSzDc1k3VBqyZp1BSNuqBesxeHTfVH3LdP0BsG1BTuIrMaPGtCSLUgTjyaNcWtV3e5/6kJ+rGVKYNRSn+g6IaKMFAEfuD08xRXbtf88g9d5Kd+D+7Zt4FYS2KtXbN00YM5CiRhoC17+0UdvaeyO06mFDIuazZZD+RZUshkAHeAT3PnhXVXXu1iKV0isTQ17ufrAT3rjRWsrLb54F9+InjNa1/X+NMPfKr/zu98498+wFeXjjM5vW3qqYf/6nfrQfelsZ+4KNtYhi5fsdJqbl1atixjF1e5VmJ91i4BWufALpqCcdo7PxkuUyqkA7crMlI5wEG5ikHfg8DHdgIFrsAqTKk7edGqj5hsDZhudXj08Iif+4NpHju+gU1THvMNzWQdmjVBs65o1BWNnL1TamFCqzHkzscCVts1pqeLNHkGGO20aZwqNswqXvm8Hnc+qG0XTaRLIJfUfEnN9/C9AM+rI6Xmyu2Gd/3QRX7q9wz3HNhArD1iVwFoy14tk4exzKsLA0/iea4ISwqUlx0b8s+XXYSZVBFZVRpFQmj8rkuPWpce85W3Cu5yZWdael3EXwXLx0nChcX+Sw8fOfaH/+wH3v6jNx88vnrF3l1/uwDvrp6j3138qfbyse+MRwuEQVAKLtwHlGNLlBZOZ2dXeXHFZ/IjzWUIOXtXAslx5nZIzzJyufaWWQVdobuzikFPYeszPIPv28biWqCpBSn1WkKjFtOsjWg1hsxMtnn44Iif/r05Hj26kQ1TPhsaKZMN48Dt2LsmqYeW/WthQiOMSPSIbhQilMTPGDzX4MKxl/OLY59mMLTlAlGN6Qzkw5R+YBk8DKStifeyDWgN1+wyvPtHL/Dvfkdzz/6NxNpjlAqiVDsWF9RiTegbAt/2rnou7vCULRFWUrrj47rys8dSYVZ+YZZjnTFw5yRUIqYyuPO4yhTPy+9ltfo5q6cFCZ46t8TkgePf+dV7HjkyiuJ//7fK4J2VU7Smtu185O7fv3bQPUvg20BHSoNMJUoWgYbSpghCtHEdJVlRjykBXOQHKtXlAyZKTFFkJU15zcxYuxxUZsut69BRLpjyPNcZ5IqQsurBmp863RxTr42Ynugz2exy376En/n9OR45upH5SY/5espkzdBy4K7XrJ2YgbseptSChIlmxL7jhjsebhJIia+0C+IKjyJbvuNUkWiP254fc+klPY6crDPfoOhzHKX0h46FPYXn+a4S03rXV++EX/7hRf7972m++tQ8w7huk2GJoeFquEMfC3IvW7103tsqVZqvcEqKEsBFCeSs0SsFyE0V4HmFYrHyrrcyF+xOlcFLMid1YBdCcfT4Ob5wx4PX/sLP/PDOw0dPn7j0km3ffICnw3PIcHLXxVP3/HcdL70Z08X3PKTWLoA0FZ80Dzxye8mg00yOiDVLWuYPm9zTHnNJ1rgljrnHwS0MUmW2oKt5UY61PUPgaXxfE/qaMEioBQm1MKJRGzEz2Wel2+euJ+GX37+Jxw/PMefAPVU3tOqCZk3kXrl1XrRl78ACvB6OiNKU4aBGTdmLTApRqeTLEik20PSslvdGjCLDIBYlgGuCICXwPXxf2qkC0s8BjoDrdgt++UdX+K9/nnDP/lnOticYNiVTqaGVGGpu4kDoG+f9Z06Kydk7kyoZwPPP6z50Gee5QnQnJVtVC3BXJaWt5iyBvQL0zPotVvO0BPqMEJfbfc6eX37zJz57b3rz86//l08fOH/8qss3fXMBvv/wQYSq3xKtPvrWuP80tTC0iRu91hfVueVXes84ve2kiAW1cEtblrCpSpEywLNDXFaF2Umw4x4y9i668YvhQLYs1ve0GzOR5uAOAwfumR4LKwPe9acNPn7vPIu9aeYnJfM1B+6a1d0NF1jWQ0kjNI7BrfauhREQ8eVHA1bigNmQSj02orpC2eydx0To8Yob+tx3IKIbh0zmHeuaYGRr1QPPAtxTtiFbSJugwcAV2yW/9n91+PR9A37pvRs5vTjNYMpjKhC0Ek0jgTC2o5cDZQca+VmgKUUeBGeP5UC9fGEKkfeK5OcHxiRkGdil+EmXwF/OY4yDPC0HqNrZksbjqw8eZvfu+bdettv709XO4Pg3lcHb3R4TzcZlDz/8pX9x4fRDbJ+zIwRs9GvNf5W6lG6W+coY3GXAMkDnWjsHdSZBTGFDjbN2WZa4A50xS5ZuzlwAlQFcGVuO62W9nba/M/BTAj+hFsSEQUyrPsDz+tz5WMoffmaCT929gUhPsGFCMFezssRagJlPrtxdOOYus3eM54342tNT9COPzY3s84wzeLa62VLSmq94wZUDEm0BPoiF7VrPOtdH2gaHnpsN4+y9bLidQTA3JfjOl/dohWd572cG3PX0LOfjOv2aZCIxND1jQe65OEQZF5cYB/LsGIqidlyCpGDx8R0Fc6mSjahgXJuXu4eK2vOM0dN1gtO0RICpKeTKKA146PHHeO3LLvkXt978ykfiuHvI91v/3wHe7xxj5fynGYVTWybV/peZiTZCBAReQiptjYLSAi2tk6JMwdxalyVJwd4VOZJpbVwyoQLskvVQtq/y4UCleYUyK8vNRrtpV/PtwK1sLUboxwRBTM2PaDSGBEGf99/u8Sv/awNHFmbwwxqbWoKZMGUiNDRDaLoO+3pos501lxCy9SupWwmsPFnspPSigEApAlk0d1D6KtmFndVuRIlP3R+yaWrAar/FIBZu3JqNFXw/dTafcnancqM2yoGrrXx880t63HTVAr/8J0P+7HPzLCdN+qFP05dMeLYGJ/QgUOTNEF6W9Mnn0Ig8C5wlgMqkUhUrZaBTWYG1qUrNQpuP3deYDeXstSAxdk7ko/uHfPBTR1528KTasrjUPvTUgZNcffmO/48MblLmtr58V3/18d8Xo0eZaIAhtVe6NqRGO5tQ42lZSecaU5UoRhf1DVnwmB8EREmSiDFpkoHbFGzism+yDHBpUK7Iq2Du1IE8IfCsJAmDEaE/4PiFhPd8uslHvzrL0QvTTDR8ZmowHaa0QuNS7xm4pQO3zJNCNae9w8BeOBPNER/5msehE3VqbgJX3i5GgfJ8jIOxOjxOPK7YCW+8qcsffnaWXsNjws0eCSMXNyiN50k3to4SyP3SubKrwo45yc/84z7X7j7N731qhqPnJ1lO6vR9j6YSNBzQA2nsheNcpnz1y45rZh9i9XmR6TRrffKMmLLSidw3X2spmjKITdVkyOWJA3ta6jaKEp/P3HmIm2+4+vff9qYXv35hqft1pcqzAtyYCPAZrd65jeEDe3x5DhXUXJBgT44yRSGObe4Va59XinfIwW/K7G1EZVSycSeMjLEzkIsC2PaxKOhSUjvXJGPvFN9LbOeOlxCGIwJvRDeN+K0PBbz305s4szSFVnVmJhUzgWEy0DQcczfy9L10dSpOmjjvPAd3YLOXozji0OmQXhQyHToXJ0s6Za5EloU1pZqU2GOi6bF7W4QKh3SjFoNAUI8NowzgXuoSNcr62DIrAV4veFXMT/b5kTf3eett53nvpzu858OzLA6aDLwaNU/R8AR1ZQgTY9nc9cl6sihvyLKca5icdeTKuMMC1VgqkyElIiuzeB6n5bLEgjo1roLUCBIUB891+PhXD+wxfn3bd73hhuPLHc3MxDNnOp8V4GfOnQY5OS9i70N+906/FhgSHduuGS1Ipcrrh7MeSJPJkTKLZ8U6ZgzYDvAFY4tnyFCakh1ocmBX5Il0VXIqtQD3UjyVEvgxtSAi8CPaw4ivPS55/+0TfPirswzTFkEQMBsIpgJNMzA0QkMjKMBdCyVhKAmdNLGJIedMOIAHvs18HjtnuOuhBlHsEzbNmgAzuxXpbHvsoljh+x6vvKnLB77Y48DpJoOaHc0w8g1BAn6s8SONUtaOtTJCFsN9KI5nqiWJljRCj41TA/7dd/S5cseIP7u9xYP7JlkYNBmqAN/3qHmCuoQwG7CU2avSthnmBWuidPwdk48XZ5UZPSOocUcse11ob1Fic/J6o8QU8iTSEBtBbCCVig/f/oj/Y++49kPohefFw97C35jBt26el8ePPnbLE0/+1eSLLu0gVYhMdd7z6GmdB5LKDbDUDvAVcI/JkvyeAdtJlDKDVwp/3MRwhHGJHDvqLSv3tLrb4KnUAlyluRzxvJh2L+buJwV//NkJbn94kuV2C1mv0aorpnzDRKBp+IZGYKgHONa2zF0PJbVAUQsEtQBXoacduDWhb/W38kYcPA1n2jWbWHH6tpo4KepnbB+kBXmiJVHksXFCcNn2AU+cTOjHPiM34zuIsOBT2WTdLFEDcqwzJ7t4MhsyTm19+DteOeC1N6/wpUe6vO9zEzy4b4KlboO2DOgFHoESBFIQStsI7km7S13Wbpg1jItS7qF8W1O/Ms7kJULTlAJPI0gped8O4HEZ1M6NsctAQjTqc+fX/mrS9771lg2bbvwszzI86FkBrgcnwm3z+nc2XH2gidFoHdvxxVqiXV2y1gLPlBt9LcDL4K4815kOLQG8dEAqvFCRJqZSoG9liXaaW6NkagfiZ26GjFnoJtz5kMdn7m7x8bsmudhpImo1/JbPhAeTvu3kqfs42QH1QLi7dCWnTncHgjBj7wzgXkIQJNSCCGNivvxwyIlzdeZmBL7UTseKotG3xHamZKGmqWIw8tm5UfDKG/p89N6IXuwziAU13/arBm6yVLFKqdyvtnPUKY6rEbYvNWtU0NZvr4cj3vHyAa++aYmPfbXLp+9ucOfjLS62GwxEwCDw8HyFJ+xID19KfGGc1DIoREkaVu3Ddci84oIVzC3yADQdY2x7L17r/Mpw3Vo6BRLS1PCrf9pp7ros/J1efPpKYPDXBvhKR7MaD747Wrprai5YQgpNmqSu7le5xl7ptLayToqR+Z6VmSzJXmfvVU4C2N7JdWoCKwFlCdh2QKeVJMIB3PNSAi+mVosZjlIOnIHjZxUf/MIkn31wgosrTfBreBM+DSVp+YaWp6n7hroPNd+Cu+bbmYS2zFSW7sL93DiQ6xzkgW/b046c1TxxLATfd8u8KaXoRQUF5SDM1ksLktSOc75m94irtvXYf6bBoCZoJIIwNowUztrTjr0zNyWzIAutkvvsedJNuekDPsPIp14f8X2vG/GmW1f5/EM9/uKLDY6frbH/TINoNSQJPYaeh1R2qq8CPPeYMXkuXSiC/zW33E0pQK0pQK0h19n2Z7bxORftJnVZwARIC7slge6ZVZ546lHOzDafjaOfGeCLq20RRdFP/O6fHJq6dIPPLXtH3Hh5jO9BzQMdK6JIobWybJ6xRg7oMrBlobsRDtSUHsfgnUXqueazSQ0rSbTb5SElDO0k1SRNOb8EX/iKx5HTde64v86ZlTpHzjYhDFENj5qnaHqGpqeti+Dbwfk1345rsyDO7tLdlQM4TnM7cPspoW/Z215YEccWYN/xBr6s2oO5RKGoB88dhcxJ0a6vMfG5aueAyzb0efJoQj/xacWCkQdBYmcCqhLApRQIKStMDuP2m8iD2ayPMk59Rn7ARD3ie14z4iXXdjiz0uHLDwQcPRXy+YcbnF2qkQ58tPSIA4WQ0q4UritfQj4KJJMt64G8EmhSzlJnbkumUXXp7hg7A3WcQqwRvkaqlJuvjrjlsoiXXPqVuVe/5t/8i3/9j4+9W4a71w3fnhHg7/7DTxPHKR/6xCrE8+zeMuSa3REvu3HIlbtjts5oLt01QhlJGsvKklgFeiZFHLBLLJ6xdfWTmVLEXrB2LkVUih+mxKnh6CnBE0cVX7i/wZPHAp4+VqfjhjziB6gJn1AJGgoanqZe8oFDL6vTyMpmbV146GRJECiCQLoLwBTa209tZtG3Or8WxBgdcWFZMjIhnicJpMEr2WxjBJ6DPM0DdNvfGCU+Ao/5mQiphvRin74nrNMRFwVjntKVDKQUpSg2G3aEwGhZMHlpMJKfqnz8RH8UsGk6YsfGmOdfMmIQDfgnx9o8eTzgC/fVeOJYjaMna8SJglBhpAIhSWUpG5QnKdbRKhVxnvnA2aMuPY7dtYZY45GyZ3fM1pmEK3bH3HbjkGt2x+zcaBDGNKPVL35njPfuvxaDv+v3PsbFpY769L1PiMEwIk5qPHbE54nDCZ+/v8mkn7BjW8I1V0S85qYRr7g+AmPboupNnM6WoAWJA38WSFYYvHzJGwto3PwS3zMgNEIa4sjQH1pGP35a8ue3h/RjxaNP1zh8KmSxFzBKA/ACUD5qQhFIQV1BQxlqCjvOTLnCI2VZO/CFTXqUwe1LAidLwgDCAOea2JS572kCP3EZ0Zh6LeLiSsoX7mnR7oZMTwq8vOG6APm6zKZLAaGWjEaKuVnFa28d8vkHB5xsNxn40soUD/zE4MeZZ+08dplau5DyrBOZ/w1tvErJRJpKglSReorEt2Mf4ti3Vqof0wxiXnJNwguuHPGWlw05eEry2D6fQaT4sy80OHbeByHpDzzSSGXlmxgvA/iYZVRO31YADhiNSA1CG4wDdr2Z4vsaYTSvuGHEa24acvXlMTu3JUz6MDdhQCuS1CNJIkRyn/Cat6p4+U8Sf+Z7vlEGF8zPTvxWb6V7XWywxdNGoY3HQl+zkKYcW9bc86TmQ19ImJ9JMNpww96Id7xqmDeQzk9qrr8mollzK44ReQ5MrPM3s+E87b7gscc9ljqSek1y/z6fT361xjBWDGPFufMBWnjExkcLHzwPEXp4UhIoQU0aag7YoTKEytgacM95vl7B3EHWl5mDW7keTZGzd+BrgiAr0Epz9g6CGKUivvKI4qP3tlCBZ+22iv5+ZgbPvPA0zRwPxXDo86YXDvj41zr82Zcn6SU1mk6H+5kOj7OkjMm7hYSQOcDsn5IlrV8CuHajHTzL5L6nSDwPL0kt0FWKUnaQ/nQt4YWXJ9x6eYwRI9728j7D2I5z+8RXQx7YF1APBYsdxWNPBnT60qkkwTOK8nznCdsaeP31MXNTruwj1bzjVUOuvyzGaJifNsxMazxblIFOJaOhciaGBFKUaV8n1PRvAetO018D8DMXltmyYXriJ//7Ry4fmZpCJfZMZYNhpAZPo41mpDUX2poLq/ZnB082+ORX7JVoUsPktOaW6yJadVsHvG56snypO9dhtad48ImATlshPWlnohjPMpPwsHOBPZAeUkp8KSyYpSGUmkBaIAQKAlXM6LMgF0XDg2cbAbLG4zK4LcO7slo/Y/C0dE8IvRhjIs4sBkSjGuGkJHBpb+Wq8ipZTEFBXiXrNO9O14oo9pluKbbPRQRiyCAJGSSCumeHYGY1JFlCS8lyeavM/5b9G5mrpYvsqdau+aSQRkmSuryBcnPZE+IkRcU2l+CpFCkTts1pt2JortwxJDIDpKdptwUPPuGx2peoXLFUg+rKmXbFWM2a5gXXxUxOa0xiV/a6ssfOylyFjn0iYz+nYTy+U8TaU6Y+uryx8QcmjHlDR4j5Zwf42fNLLC213/3gY4defr49QPg1V0xjqnppPDBAkxhDO1uClKazajj3lWbpK64H8LJ+cydHCHS25QKu5lSoIsiR0llZGahd2lniNm7NfOPSo+c66RVu6z1ycNu2LkXgwB145CWmlsEdi3uawGVHfT8mDGNOLWr+5PNN8AJ8KYoAM5cnYg2Dl/3hLEGWuVNpakH+ztcO+NidA56+0KKX+jQSuymtrQI0RSeOynIC5WAvK13MpJAsFXhld53Xwniewk/tvBTfAV3JImlm68bdc6Hd4KAUTxiESZlraP7RizWI1MlMQGT7Z6xzzvMaIwFakcYe2TyWJJbEZDancEwtchOjkkcxAuij+k+/PBocfTcm/rGvy+Dv+4svo6QMLpxboRUotIAUV19iwKBcvUEZ9A7sUAK/AWVI/RK418V3xm4ZwKvBi919zQZSSoAvbFo5FLZa0Jf2tSdxNRWuezwrJPIozUHB7cxWdNUXAJe5bAkDk7e0BYEuDc5J8B17B16MlBEnzgsWOjWE5xFKKvJElr9W6XSXpUMFeM7piBKf2YkROzcN2H9+xCD1GKYQpgI/NfiJ0+EJubNUpNBVpVMhi+3spN2szlqUpJHGSzWpkigv275cuWI1u62MksVdSI1yIBfZ38ZOyRLS5K5XBvTMAVsP4EVyr4jLMlOCSv5EuqC5MCyy52nq0xu1kb3PBuvle9YA/OGnTyGEIO73mfINCSbPMCWZZ+muqNzyIVMfGfDLVPVssgTXlVMqrBcCSZEitlOpwBcGXzjQOgmQPc/fc2RflIKSN9gGSliwV8At7WOQAT0LPh24s+4fT+cSxfesPg2CmISYT3+tzoWFOv6kIijXcJQdFMYUaTl1Xaq+zJI+w5GdYPuGF/X42uNDOkmNvudRTzSRS6crWRREZQVndiOv7C9lgWZWtZlZh26mioFU2b/paUGiBF4q3S52tpYncUAvkmk6T7BJqUuJN/dclsHtbN58r5hnOP+lQjtyE4KK+1atWyolD91+Q9pE+OLQuqtFBeBPPPQZZqfqL/7Pv3X3TQsXUptuJptHovNagcy8T6GSes3/OF9/45VckGTJAgEqexQGD3KrTYliZwglC42rMmBnAz2dPCkDO5+DorD9iOsBPAs4M93tZbLEOL1drSUP/JjAjzjf1jx8uA5eYEdAS5On53MGp8riGXMVPnC5VFTmnngc+9xw6YjZqQHtlQb9RNFQ4Cf2u6jUDlBScRngWJDnf0iOVWoK1zfpiuOUJtUCXwtSJUmVJlWCxIG8XLyWlUPIDOQlUGclEwLtQI4rac4y0UXSrlKMUalfKbN56TPz7ADXxm5hc6E7c9Oifv2LP/bpt9z9rf/o5esDvBv1STvRP8KPru+NYnzlO042pbptV9OLqbC3zgMb+2/pda4n4eyTspmUXeVZVqwAh8kZfLyE08tqI1wNeFbqaZuLs04VK0tU3r1SADtrvrXs7TS3R663M0vQMnYBbj+vTowRxHzqqyFfe7KFDD0CKez87byCsDyfpVxHXZzUvHanVIGZakWqFYOhz61XD3jjS7q851MtojSkl0pqqWGU4FauctWfdnJOj11Qz8TkoD3peiFFDu5USZTSltGldKMldKkUuVwDZAqQV7LNGZNni3RJpoq1ZF4euVfUsGQyZbysQ5S+i7NGzYBB1L9e+gv/CKK712XwQ0dPMz3Zeu2f/NXn//E9j63YGSLuarRSxJROTJGCxbF3BueyIjFUrlf3ZUsM7sCdAUCWQCEpah7Kow0y5rZbkGSvcQxO3oZVYXHXDeOrKrjtOIUx5nY9m4Frb/O9rOEgKd1jImL+4ssTpCZE5dnLcoBZ9DVmzkZFgzPWrqelnQ6VZsGmh8DnHa/o86efHrGqYwZpjUEq8BNyFpfSIBORF51Zu3B8/ZQU1qQogVyQem50g3Ig9wxKW7lix+zZCkabPa7Om1RuQm25TiirVcmbUnKgF1JlLcCra3sF5NnPS+Ud5VVJYGvjN0+eZXLj8j/edsm33NFrn/58c3JbFeBpEhNFo0t77eGeqNOjFQbZX6l22WTz6txfLqfay4B+ppsQJSYvyZMc6GPlmbkWH9OcGejLsz2UEoUWdxV3lWE3DtieEoWTktuBtuPeNiYbx9xFgOmV2Dv0Ix4+LDl0toZRPkpKAqnxxus0SgJ83EXJ7nmnkxYlv9qCPE589myJueqSHvcerBOrgEEiqEnwU4OXCCffij2QrESRVi5U/mSV+QppVHTOZDMhPaXzGZLKSb8C3FktkHFlAhmTk68eogRuRDYxa332Xu9msuZVisAzY/pyt1eBPY8oSqhNpntGUXRpGqefX8PgZ86v0OwMGQwG1AMLkqLbZiyQLFWJmfEP9iwfO2fuMpOPA70EbpXXfBe2WyFZhO2eFwW4bZAp8m5xLwe3rAC8PPzHdtuTAzvPVubMnRJ4NrFju4JiDDF/+eUGS0t1ROhZ3718EY7XoBTkVCGMrPm2XMede9NaEcceczOSt7+yy8OHJxilNfoqoJ5aLZ6VsyqJA3e2VmjniZejoVI2OfubrnGlMq5B49oQsxXJ5M9lvq260+Ay2+8okyayaI4YZ/CxppUi3be20G5cBZRrlsqfP8egEQwjiKMB6egiSTLM//sc4L/9Rx9HScny8iqBrxCirLtZw+RQZvUqiJ+Rvd3/FfJk7LEM6DKLV8aLFYwtywyuRInFM7kiUV4V4IHnBgD52daBLsPpGfw8Fa/d87Ry95Tt3Hn6BHzo9hYjGaCkctnL6oU4nsFcsyyXjmFVhzstntp0dJh6vP01Q/74s30eP1onVj59KQlS7dwjgUxN6TgZ214myuupdn+rum9RmclTm79zK4gdba1cSYBKTTGsM5/LIvILOhnT4/Z8lovlKDF5BvKvt9ZXQVyw+fjP7AWKkKwu7yd66gzlvVA9gCcPneXqSzc3fva//Pbu7uoCnnKzrLUZY+/S1bWGvdcBc/m1GH++Vns/s0QROXDGxyHLEmNnQWY2tcnzsk1enfZWY+DO0vd+1pis7cyQvEUs6+lM3D1G+RGHznh0owCU5+SJGSuPHb9wqwekOtBozAt33ThF4sej6Qsu3zrk8UMRqQ4Z6IBaamu2PafBlbAbudrEUsaWmizILJi8SJhkHe5ePtjUvpcNTPU0roPIIHUxISCbrpVm3f25AVAEl3ngOXa+M7SsaZiouExVYFVdlhLATeHe6RR6PQjqm3bf/PJ/1kgGP9D36rsswI+dOMfC4uprJqbmfmq18ziecpG3Kk6I/VtmLYOXVplnCijz90T1Z8JeeBUgFMAu+hhViRVVZahmBnKKGmlVArWq7mLsK5wXbsFtAVwMBfLL8qTM3sr1dQYRy13N//yrFkuDGiL0rTyRprKqFINznl1zVqYJZHNicga3jkqSeEw0PH7827p86eEJlkYBkfQYSEngeiiLkQ+Owcv19ELnZbQG7cCtS2nvolXMc1OosiA9A7uSwjG4lURp7qKQy5RChxfthIVMyQLPwiqsHJuxVW59gI9hMU8WFWQhRZ+5uYmfGqw+fncSDz4GjsGfeOIpamHIsWMnSNOEMAjWZ+h15Mmz3sZOcHWw4xhrU6S17Zy8cYlSHUyTA1sKpCrGj6kSqD0p8Zwk8XKAZ5pb50Gl7+kc3L6X1V9U2dtXMUEQ8cEv+zx1pA7SR0pJmJXGlqzNfI949yWfsZqQgs3znSpKMiXR0m3y5HPNnj5vfkmHP/5sDe2FDGRAKEWe9FFSEJcCunEmF2UmL2cNSzUxWoEydlXQRlhwZ1PC3DDVYqxEMYummEzrtouUVXmSOysVDBSvv5HbWvxVrUUBJGnK4sIZUh2QJnZjCA9gquFTq/lM1BWBZ4H0jFeQ+2xmvfhgHNglt8S+nRXmmzUDZSqecR5YioLNc4b8egCXBcDzRE8GcGPnZDsp4qvCLfFLw4EKzW3Z2/fs1KqVtuYTX2mx2A6h5twTUQrGnkGiIESVyctB+rhtl/e02uo566Z4TE8ovuXlfT7+tSFLvZBIeQxS6exJ4dwbUTRjy/HEinZ1HfYtnbN50RvpZc6Kcs/d2GvtxmFnx70McuF2zsulpJMndnUu63ExJldEFeDCIMwzo93iLQNeVbZkB9fW8YTEaZ00tfLDe/DRg2yYn9l1+5fv/4lDx84T+nYswTrnIz8pz3YT7sNkBGYYO9kloFfvYn2JkiVOKsCuzv4ud7jY4e5UwZ3tbJAxtyox9xoGz8ZNFCMnPGUzl8eOCw6eqKEJEdLLm3OL6sFy/CBKrkbx5asxTdnTLafsC0dFu9pnjMcVOyP2bB6ytL+OSQPL4qmVKV7JxSnYs1zoldULycLONY7NTeGTa1nMjSzHNsptTaPdzh15QksWZJSDWws3SyXT5GJMqogxPJj8xXoypXhPjAF8HHse8fAMrdZlP7F5+0sfbS/tP+4poUni0abQN6/td5dp1oO17oi7SswazVL66+MfaExvjz/ms0KogrwqT0TJmRClYLMAtGVw3Cjgsg9evrstrVUZ3CWQu/3qfVcamrG3cq89L0apmE/f2+LQYh2CQp74JeuycsGydlzEGlYyJSvWVFPQ6ZgWjyKPS+Yi3nBrnweeboD2SVKrxf3UZXfTqlQqmLMcLDmQG1OSKCW5It1z6VYVmd2F25bG5OOWU2Wrp+15MTkxFQmf8nPH0qX2trztpQzur+M6lV+UnSh787m40GHTQLx2MEw2jSKOe42aoB7AzIRk06zKt3czpSTONyK3xy+3MnM9oz2YHQSqWruQKSIvAx0Hds7mSpSacEvgdvMJi207WAtsrxgQlI9487QDeWLliYqpNyLuPaD42FeaDIYBNDw8KfBFVZqMf/7yd14X4Izp7zHLsOyLx4nHZMvjLbcN+ezX+tx/IMA0fQZpSCDILzSV//1CB5fW0hzk5ZyFDT7dBaYsm6fS6nFdYu0sqNfZ1idalPS3KAW61Riq0N1FXGDfEznQy+B+Bt5cg8NxbzzVgqWVgC2rHtMbBIOBxFvu2qq4lW5KFNvkiM1Qrh2fth5pm2f4MBW2XgNwsUaeyHWe51JEFKCWqrR7gxKuNqUAdwHyrGzW4HnFCGXPbcLkqSrQ/Zyt7V0pG2AGQUQcpXz2ngZPn2yA7yOkcqByc0NKwaWQ1ZM67hplB62osXA1PaVMps6nhcncE09TjyjyuHJHwute1OOx43VGSUAqfQZaEaSMfZbMC2eMwe2jGfssrgoabTRaCVSWA5ECo0CaQo/nK6rEbl2TnRtdrBpyHODjcQljwP9rZDrXAN8dyyQVhEFKMxxQ83uQ9PH+53s+gZSKfr/DcAQTbt+W7D/8hm/rOCYgKid2jeZmPVBnjF0OMIsdCAppUrIKc8bOAF5MTs0limNuy9gmZ2ovfyye+y649FRMGEQ8eULw+a816A8CaPpIkVUOUrIH18lilr5nmRqyWhSLLldZWHZTygmfUgFWFPu0WhGve+GIj9855LGjIXgBQy0JnBZX2m6wW5YGIiWXB6Rj3q4qnBxPUUgXadk8W1WyIF8bC3api0Sb0GU3xZ1zXTD7eI5jDcDHQD9Okl8P3MXvG2YmJdHq/Zw99CRJmuKFZgmhJcgYEcoKw2Yn45l4evyddX3v/IOLyhW8LovLEtjLmjsHudXb5WymUq7C0FUU2nYu99wrzwcfA7e7+9kUWlfg76nE3r0Y349JTMqn7q5z15N1Oy9D2oZmv1TCWymNLd/LL56RecqWoSg1lVtHJdWyAvTR0Odl1/R5w4v7PHWiRpL4GKEYCA8/Jf9MIi1YvPgI6zN5eYi9UhlzWza3rwVSi1yH535/xujZausYPB/aOQbuSsBZAXnhqqwH7GfDeY5Mdw6iWHH0VIqQQzAaL/QlUtpeviRxV+Saq+nrX0qi9H/jjF08ty9kGeCltq7yzgIVYFekSjlNX7qrMXCr0t0rNkHNAO2XQJ05J9YxsY9KxQR+zKPHJR/6cgsIQPoIofIuIuU2Ui1nXcuOUHbcRH5MSkQxVuNTHi+d31PbumcHnao8fW+MxzteMeAL9wx58IidJBBrRT8VruDLgS7NgFOqAxmDhjHGsngJ6NlPlQO9lm4/nywozrS3dGwu7GN+DnVpYKcsXfyVBFghSYrj9eyB5jPmy92/pwV2NAYKpexwKi9K7AdJU1s3LdfMGXsWQI99iiKwLEXGFQ1emrI6prsLqSJcsqCwnjKA53PyyiB3rWnFZlN2Z4diAH4B7gprlx6zxtpMqiiV4PsJcZpwx/11njhcB98HaYPLQJjS5NhyYCXWBFZi7REr2XSUgqTM1aCqxV0rm1bOUUk9RpHP1XuGvOwWy+KD1LL4SAQMNXipKAK/NLMLXW1pWl6NTcUxK1uXSoJRBmkEymCzn0YgjMAIkEYUUqUUVBbs7c6rLl/4pbnu6+RB7FFaq8W/MaJ1/4jRhKGdYaO1wZufsZpyODJ0Ou7TGfOMzomo/l/x/2v0VGYJifxvF9IkW6qqjkl1j5ix+hNBvvdOvntx1nxbaXgoti5RagzcpaH4uXuiUpRXAriTKIEXc+ic4H2fbTGKfWj4Tp6Qt6ap8i7B+YVbxB8VvbIOGZWBXpYp5c0BtFlPi3s0Q8n3vq7Pp+5qcuCMvfhSreinylYZpi75g7D6OxWFW1FaSTIJWga4NIUWl06jS20w0p4jI4UFuC7FShmT63Istc7KVgJ02aMvk2AF4H/NwFNrwUpHIfsexhi87c9/88aVc0d+tn3ofnzfBhVZJ8W6AF9PH+VXn6ic4MqylF9kBbBlBeTVrezKlXnjRVayVPuhcvYuAVtmwWUV3Nlsv0Jvu+dSF9rbBZeRSfjIl5s8eqhu232EhxI2c+m5Guxyc3FZpiCqrPSMt4oGL6zCfNydtpN8KxOwtERrj2joc8NlA77tFT1+4/0BA+2B9oiFZKBtjCC1I5O0kIWMOSuZg5IFvBjj2NuuKsqAcd63MQX4M3BL11WTATw/f2Y9gK91U3I2p0QQFWCbjHMr75cdvbKdnWqB1BGvv+2Sn73qedt+2DPtk1NmuPr6Xn9Es+7nDdB/U4CvawGVnhcJgLJ7MlaDUgZOpQ7cVLR3DvSSJFEl7a3ynR5KG1EpMyZJskrBNAe378UcPCv5wJca2Pkrlr3zzv3s7wsq44Vl6XuXA01RfmFYo79twVW5NqSYK2gDz2J6r04VqXJaPPX4jlf2+egdDfad9kFGGCEZpj4erl4kO9apO6FplvjJmLsknTJ7GDsbK/ts0l2E0oA0VrZkIJbG/g2jnT+uXYBaWZ2rYF9XmpTeK+NsDaOP45GxlRCAiMXl+PX7nmxPeTtmUuoaLtbtpFJtii+7Ftxi7PX483GAZx+uHE2PyZKyjpXV5xUWF6YUXJae54xtchZXY+C2E1m1e7R2oFIalfndKkHJBOUYPFUJn7y7yb5DhfaWQlrvO++geQaGYvx1WcrlxF16Xm1ArnjipYlUnha2NkUWKfwo9rjy0hFvenGPIx8IiVIFwiMVHgMh8FJn32XkQ+aolDnQFCGwQ4kxApXXfVhpkrN5dhemSPEL0NICX2cypeSDl8FeBvIasJfJco3kraJ6/K1y/NAbCY6chIWOwWs1FIOBHROcaumoBEzJvzUUAF7D2s9wpVXtoPEvuDYRsH5zQ5W1s9cZa2dgz5g7B7oqM3mhu1UWRMqSNJHF0HylUnw/5ug5xW9/ZIKh9MkmaBVd824FKddAlyVJxQ545ltlpIzzwrMWtiJlX9bgolKfkmqPJPUJ04Qfe2uPv7qjwZGzHqjYSRWfgRCoTJ44PZ4Hm2Mgz7x5A3im1AeAQBonUTCOtTNPXFfY3Li/o6VAmGL1WGsmOOCXwFoGO+uAez0Leu1BtRJvFMFgBP4IvIWVlOXVlMEoxfftkB1EUSY/ztBrrqgxDVXNTq0TXLgqt/UYsAxsMcbaWSKlCm5dSBRZZXCv4m9nOrusv0t3aVnc9yI6keY9H5/gzMUQlOesQenkian43vnz8nevsFQ10cX656RS05ztMVndmS4b3COrU7CkIk08ts6P+KE3d/nl9wW0Yzv1yBjJSCtrG6bZ5zCQCgrbsAD5eL5DuavQzW8qHmXh+EhpCgY3pXPn9LfJGfwZAs4SeHWGqzKGxoE9DnLW/1m9JpidkkxPKbzBSDMYpUSxxveKEtU1QC752+UrrQgmi/czJqssRTjQjoFhnLkzYBesbUrBpskDy6zxVakiyPSkQXnaMbrOpYmVI7okVTLGTvJHT8V4YcyHPxXy+385wUj7Vp4IlcuTvKl4zBKr6O5cko2xwDOweIarwiosgz5L2Ru02y4mL6V1rkqiPWpewo+8rcfBEwHv/aTV4qBIhWSobe+mTMkZvCjAyk5W4ZqV7UoL6kKyGOPYXBSFYpZ0bKmrqSR+rIzJ69IdHnSZ5CqYEVX8UAL6OoviGuC7i0pJO5msHkK9ZvDS1I7zIrsC5Vg3SgnVY3ivLCfjvvdaK2htNL22MMeMSRRTCjLdFt3lLQNVUeyklC5JlQzMJSaXRXVgrrvzRztrcHkF/upLDVZGGbgtwH1ptbcnqvKksupkdtl6J6R04MpaOwN5FiBVqvrGt17UY3XiUqK0QmuPJPWYDFLe+qo+H727wVJXgYxBK2KsHh+vLhyLpp6RyW0eqEgKZfUpWbBpHIvngHY+uTaMMbY9nwhhGR4nZaC44NbBUkWujGNvDIdZCicjQU+B16jbkbT1mofvqTX/aOVklfX22JWWA7gMerkW7GsCsnLbUw6Y0ogIaSrau9gPc21QmQ2nKcCdVgLMLMjM9rnxSuztNxI+9ZUa9z9RR5e0t21qyORJtd4kb80qsXfFIiz9bH0Sd+xZsgrL22CXmyFMOeg00m484HzxJPXxdMILrol44819/uTTAagIhMQIwUh7KCHsFiRZoJnRXv7RSpq85INnzS8msw+z2hlZKhSTdsZLhbmN6+stYUBnJJaxtcl+VqTwn5G5xVrcjbN5KmzzdBRDdyDwBwJvflqhjOLCpALnxY5Xm6935Yg1f3ytTBkHdn4RSFNIlTHGFmKMvUUV2IWL4l4rg+dGjEnpHBNpnK4uSZLMMZEliSKtexL6MUdOSt73qRbnu4Hd71raQe9KUOzYMBYvrNHdJc29HnuP38btrfWakcvBpql03dv9c+yj3f5kYzPl+97Y4+4nQo5ckCBiQKGRDIUsbSJlQZWBWlSuwkIm5f+fZzPdeSizubDPMzBnsiVbie3Pstnvwult9zzrzRTFc8rPy2wO5KMnnkFVZBfccJiyuJKipcabaBiSkaFZM8QpJOn6HnjlinoGcJevwDKg8+WjNBainO2SpSVf5PXVJeZWGeDHQJ7PyB5/nubaO0/oZOOAVYKSKZ6zBYMgZpRqfveDE9z1cN32tknPam8pbdeOKOav5J81W1nKF/M6TF4+ftWTkTHlmB9eAk+1fLZcRmvbzXTmqKSaRHqoxONlz4/44Xd0+PnfDRgl0jaiakniXBWpRemzWZBXRjgY25JG6fPZ16IUG7juepcEsgGmyC+APOjML3qzJvlTHv40jp+Ko1Jm7Mp7pRUnJwlbctIfpnQHKcEgwYtTQZK6f1i6SHkdtllPslSWlPIHrbC5WVP8XrBgebDPOuxd2n9eridPpMm7ve222bokUUpjfzPd7WZc58GlTPCDhC8/6PPRuxqMIh/qXq69c/bOA9u1mctx+6tyfMgCzvXpu1zYVExVLYMbjMqqDKu14qmWSG2lSgb0JPGoNxLe+rIBt9814AsPKmsbIkFIYuExoCQlM2+8BBa720xVkxvHjnldinSfU4Jy3y97bZw0yYCenV8jBDrfftAFnlnf6Bh+TOk9MGMsTh5Qrj2kJt8+PO/LjWK3o24sClegDGyx9vmzMXcBfLMOoNeyuCjr7bK3LEuORaZ/8/3UXao8T+5kQC6A7akxoKsC3J4Dd+DHrPYMn7q7wYFzNStNhC2JFZn2FpQmSJk14M6/W/79RQnoz6JPspPiSiMyS656L2Zhrx0OVKTvpVRInSK1Rzzy2Lsp5o0v6XH/voB25NKv2urxCEW2D4TdM2G8pa1gMoNN7uQXpLRui3ItbQWbZ1LFJXyEqyHPgS7y864pHT9TMPw40KsBpxnDochlxnp6PPAlQTam79xCwupqSrevmWhSdGOvt0Q8A6Bzpn4G/Z0FElkjRWGxVZMlRYBZALsAd+aDF8GlzAezmwpjVwLKLJFTdlGk7ZTXpPyvT9f5/Y+0MMKzvneFvSm0t1znc5e+Y1W+iTUr3nrsXankY1x/Z0y+tpVNZ2l7rdGpREvriyupiVMfqTQ/8pY+h8/6/P5HPeKkALlGMBISpbNBEplWKIE8B7XTFdhFIIe/KDq+cqALC2SZ/WcikyrFiInMKjSipL1FEfQWsUHpOI5tHS6c5s9+JzuGwr2hpKBVV2yak8zPS7wsZ1Vut6p0XZTBvg5DjzN3FdjVLF+FwctBZem9zOPOmL2Yiee87zHHRGbgVmPyZGzPeuX2nrEaPMYPYg6fl3z0jia9ng91tZa985rv0uoiigRPRZKNPYevn+QpGLwEeihpcVFxT4xrOsiBLkub8UqrxaX0iOOUVjPhLbf1+exX6xw+55IKdkA1qRAM7FpjP6N24DYF2E0OaueW4JI/+YKTOSlZ6t6yt8pAWJKhZaBnwJZjq3x+7CTrMvd6OBzX5MJJFGmsFk9T8HZtq7Pa6DNcFbl+GffBi3/ErP0D4+Be70NnIM4TI2UGNBV5IvLZd4V7koM7Y25RHsyeOSe6st2GLMkSKZ1j4pjc8xJGseb2+5p86RFXLSh9C/Ax9s6KvJQQVILhfKmtpp8zhIuvh+wqoVeBXrpr7bKHmZPitiKxulsXMkVLUiFRqUQLRTzyeNX1Ea96wYBTn/EZaavDXSUUCR5Dga04xIWQQuQGdpb6UTm8MkfF1YoLcuAbIQqyN/acGuECzwrQi4yqzpM9xawcIbBlvSL7POV4TrhFxuT2YnaQM4UghLUJ24OEhVWBDD28Ky/bvHrsWP+zp46rb+0OzJqu7Gdj8SrIzRpQl+ukq/q7WDGK5SsDfYmxc2BnQC92Gag6J1X9rfL0e1p6niCl7dSRQcKdDwb8yh9NkhqvcE6kQghp9wESRVq+yuBlx2d99q6A+9mAPpbsGU/Zl+WKJpt65YqxROGo5JpcWm9caI8k0QRByk9/f4cDpz3ufECiA+Ega79ArBUDyoLKlGTJOpo898Ldapt9XhdQZjpcuAtAU4ySMGU8QOGTr2mCKHXdlxI+lUYIUXRIVY0OAWik5yO8xmcnZ7asqtm5rb0jxxePDCPxw1Kk+ArX98g649OqRVBCrtWnleSMWlswVS6SKtd1yxywZQuwlMgpBZR5QdUzgLssVbxKQsf2Wp5eFvzK+ya5+5Gm3ZRH2nY0pI8nBXUJocRtclVtLl57dw3Q+ZCc6jAi5dq9pBprmC4dt+K1KF30Zu1xzcigNAdQjEu98s8MzM0mhJ7h/scDVgel2gIXZmZTxIuKwwJAYs3V+Y0sS6Vi3JL0cnAsOplKv1u2Su0vZvClIt3KfQqVR1OqrhGwab4Jyer3nTl14IA32bJfzTh2UNkeK2XWLrFSRb5QvSrH/e6CvUujvMrSRJRdlPK2GFVpItfR3NkOA+veVTmwdKWw7nkapLzv45N87CtNTE2BcFe08BBSVvoti/7GZ+mYL7NPJStWxUX57fFc2jgg7PNqt/14h4928wONY25jdFGjIiRSK1LhIQcpb335gKeP+rz7DzyiMCkALgRG+4xwjSdZfj21JrbBFKB0DGpw2U1XV+0MIBtsZoyMZXNrDxYLQnb+rQwW1RU+zfAjChmSfUyzlt3XHleDdp+900uIE1vD4126fYSS0BtoFpbsQRr3wcv/aHlKaFWmjI9DLoPcjEmUsnNiGB/BWwF75ncLB/CS9q4wuExLTkoZ3CmyVHvyhQdC/ugzTYapm4IvMmvQZS2FqWjvdVPzZaCXL/qx41LV4euzX7abQeY9r8loYtaU0BpZymzKkrMilC3Mkq44S2pS7RH6mu9/Q497Hgv4wiPWLsy8caRAG4+Rtu1oeRHJuHXokJpLKSFQZNKkBPKs6aGkubPfyUArpA0EyySRxX6mDGJRzgxneX1KGnz8uGqSRNMZxm58oMFb7dh/LHYXtlJmXYCvYfESeyPI99RZV4Nnqfn1nJMM4GV7sAxuUezspdbocF31wMfZW6ZFgOnF9EfwS384ydEzIcYrdkuuaO9MIlWAPQZo1gFzfpzE+gdtHZCPj8irZjTLxVdlPb62NkVLV3EoyyyuEKlGCA8ZaS7ZGvMffqDNPT8Z0h26L6Nl/rlSPIZZhiUr7tYFyI0EtAO1IXdYlAsoTdZK4P5T4WpSiiRPSe5mv1MmPcea1UShyYvXxpuU165/xTGtBXZzW2M03upwk12m0y7KXMTzyA/kmvNVEvsy/xDrOSfFzOiKTBlj88ro3XUlii754KVt7Byb58xdcU1Ku/M6z9vzYpIUfvPDLR7ZX7Oet8yYu3BOfFGVJUpUWVuUwT7G3C5yojx0cz2+XsPkY85J0QBR1FZYMJu11YbCMngedGppQZ5KtHD31EkVrbnhipgf//Y2//2DU0SpY3HIo8IUxUhnWtzl2ksgzyWKKGU5hd2g15TZXILQBXNLJ3uNKWTL+DE1uSwReRKIErMLYYoMphFryNu4LLDAcMn2aTbMTxFHCd6b3vgagqDJudNP8PSjnyY1NZLU2VN5lmvtclyNdu3XLRfyrB0VMO6gVAFdAN6MyZTq/owFe6eFLi8ndSp3F1jWUr54X8h7P9yiPfCtB+g8b4RCCOGckyJrWS7lVZXPvVZ/58xSCctE/no9wjHVl1W8V4BuKCeACtZ2U2EzSVJOAglrI6ZSIY229SqJYqKm+cG39XnoqZDb71XQSBxTu08oBYmWDMliigLkBlsaS25bWs/bxaq2rDeTMDqTG4V8yVZvA65RucBOPo1YgjBlFSBytZT/vimwl72fkUOSQqcXs2fvddx6y3W02z28iZbGC2B2esTsVJfF1Zr9QGVmzlau8hDzEptnupsxrT0O7ILVTUnTjsmSkiQpZEqxw64FeFr1u6W1AmW+r7oNLKVMkF7C/uMev/2hCQ4vBXYElvO77aMs2LvU8FwB+XrypCJNxqY1rVUjVZWyxl0os3iRWMkbIVgvjT82JCgrxDI631RWZFJFGIT0kLFhz0zCj729y/HzHofOCIxXFlgCpE/qQM4YyDMBrDIQONaW4Fhc5IFmVjCVs/iYdLFwKc/JAZGOxzcFawtTlSjZ8Tel460NXOga2iOJxiM2Cu/CsqDRFBw4Afc8AfPTiiAAT+qCsSoe97j3WDB2tf5kjLllGeiFPKkwt5MqysmQgslLultp93o8mVMAXakUKROCMOF8W/BLfzDBR7/cwPiqSMc7abIee6vSBbjWOakG1+NJnTKjFzp8bDldT6KMvbe2JqWswzNAlwPQrPNHuqKm7LkLPlNNgsaX1lVpjyQ/9WuKC6sCwjLdCgxezuSFPHEXWvboWFtJMNrJl9xNES7IrDK5kNYtMaUGF1OWJY6hTekYlxVCmdkrMlnaAaz1luLmDYLLd6XMTNqBqnKlU2Mwap4/c3Hi8yv93XQHJmfwvKgp97ZLHTaymjaX67zO31PFxqGy/HOhK/9OxSFRhTWY151kFYNjnrfMgkmVuOe21iRC88mv1fniAw1Xa5JZgtIxeMbexa7B5XmDZTZZUxZb0uLli32cuXPwr1eiWa5FKQOajLlFEbiV2sgyB6Wsx1OdJX5KqX0j0Ua59+zzJPEQRvKam4e86UV9ApFAkoDO7jGYBGMMiYGhhpEWRBpiLUgMJPmQfkjcHpuJtu5isRWh263CBcWpy8rmj9qm0m3/qXH38r6dxb9Xft9ut+g2r80DbnvcQ19z097N7N5Q+/zG6dr5jVMB6vd+5zd425tfvDo7JVZnJ5LvjgYXqddEPoahMnynFADaSa8Z665NRuSgFpQujPJuwOtcIOUy2IoVaApwjzF3uSPec+D2vIRUaj5+V53//HuTHDsfuiaGIqGD9BBSEEqoSTvI3nNj4LLZ4muHC2X2YTGYP59yK0BKSb6tiqgO6beTuuRYQozqsStJpMJOHcuejq0sNoATeSC3tjTZVFYVm+wzzEykXHlpwqmLikMnPZvwqRjM9j/KHJBi/MX474xfyeMXuft31i5aVf9/jAey8uHKz7OVbuz3s59HUczM3C5Spv/1o08cu++mW17q9uhp9fG8hGRqQNqPkapKQ2WJUrCVXqPT8xrfshZ371ckynqBpRjbAz2TKapwTWRJimTglqWAMrMEfT/l2KLkvR9pcuBICC2VSxKb2LHaO5MmeZ8l4x4963fMl4LN/JSLakAp1mXywkVZL9ljWVuPJXwKF0XmGb9q+l4K0NruOpx54yJjdldPIIRGC4Uw1huPR4Yr9sR8/1u7PPBEwPGF0lKVB51WhiQIhsIGl7gRbvkWk06OZLo8r1Gpqh6brpf2Z8IUF2EuY2CsG7+oe5LuFzIJUw48s1ucGIbDlHOLI6ZmBwxHpU2oduzci/IaNGtDGO2nN5Akqcz3ol+/yKq64Wc1uCwBW5QBXt5yrgg2RWl76AzYIg8uMz2uKQqnSrIkf8+xt0pZ7gp+408nuOORWlElmGUsHbiVxO1QXB6DXFysqgTm9WzB9YA/boF/o7cyQ1WqCk1Zvri0traA0m42oBEl8JcynVIYtDAIbY+zFsq+FspeRkKT9jUvv37E//XODv/lD6dYGWTAdojTwoHcI5Eid1AykKMtkMkA78gi+4z5nldZiYu7IIS7CModPmbsGOddPWYs+UOpSlMU/36cGNoDjw2bd3LD9dfQ6Q2yaxSak5uZmr/6dpGe/ZVazc+djWIEWqmUNS8hrXa2ry2QMtXAsJRuV+skbpSydl/hlox15aypDsyeJ5WEzlAafvcjTf7gwy26sW8LqTLmdq6JEHbMcOacVIqqsoOcsXmlGKjE1OuCuTrn+htB+nh3fQ7k7GemupRXEz5j++uYsTY3VzeetbdlAzy1KfbgbHnww2/r8iNv7VLXCegUTPYYW11uEoy2mnzkNHns7okRxBo7y9w4LZ69Lmvzkj7XuUYn19HF/JdCg6/V3rhKSkOqDWlq75mG92p1Dp5a+pUX3Hjl7Tu3by4AXmvu4EN/9v/07388OXbi/BRRLKuAzdPlpSYEVXjY6wFfuuCwCDDX+tuy0lpWMHbZApQZoFXqZEyWyKkyt5QJ+Jqnj/j8+e0NOrHbIJMM2JnvLRE4aZLfTaWbSJUA/UzZy1x2iLXvU/pvvhGkF+1qY5ZhFmiaYi/L4iIoNSXnoJbV1/moiew9hXHtbdoojFYksaLlGb7rNT2uvGyETJMc1FWwpwXIDTbodOBOHLDzgHNNsDkO7hLIs4DVrANmvT7Y898t3X0PLt/qs7nROfbTP/fL/cv3bC0ADnDDLW/m5he/jc1b9wLJGlYWY4Hges/zwihVcj7WBI0lJhdrwVwFtqbsnshylnIsFe/5KU8d9fnxX57miUMhxpeFLMkZXJZsQZMP8hnfqWE9a3A9mVJJ7JQCsULLfYNyZTxoKoN8jV1YbMFd2cS11LeZDwwyMvfHTWkyltbKjX9TpMZDR4rrLo35rZ9a5eo9I4jTAuT5PXZgd+6Kc1gibUEea0FscOAuA77K1hk4yw7JONDTEpun44B3312PXQCjKOHqqy7jn7zzrXzn29+UH08ve7J54wSe3yBpC0yvT2oaJKkcawkq6+uS5qZI2Ahh1mjxIrljqs+FyfV3NcmjK8+VTBGZ960KYEuX0PF8TddIfucjTR7dF5KqEmuLot4ESrZgBdTlisaClcfnDq4ZC1EBe8Hqz1J+sq48qWC8lMXM+zQr75eZfaxm3Nhxxlo710bYybQ60+MYtJDufEmrx7UhReMJww1Xjvhnb+nx0//dp5sI8CEvIsmaKRGgFakQRFkbmxY2k+MeDbYZOUvoGzeXLUsCmRKBuLIWp7VL2w664zNe65Ol8Mvua5rCas8wSGrUmzMkpr8W4GGg8OvB4c5IHVkZBHsafgrI0vKbJXiqCZxqpWAZ8EVSR5QAnKXoqyB3bC90/tzq+LQE+NTVo6RIkaJEghIpnp/S1/Dejzb50BebjDIwjzE3wlp0eUHVM7B3NZP2dRI85SufMWBXsjzfEHmXnBQHDKo6XEM+yrjqjReAt+CWSAd4YQTC1agII20q3Bj7XLug01gtGwjD21/VZ98Jj/d+pEUvxh4w7VCYPToIp1oWgaRL1dsaGQtkJbJalQLU40mgcm2KBXq1CyivQBQlcJviWrPHRnPp7pCd24MjRtQPC5nkxzRrs+M//9KvseuK246cW57YsLg0vE2ZLmEgS4X1pcxjaU5gpTiqrGNznU5Vg1fqTVz5q9LVgHMdqaJK4M60t+cl9GL4w080+X/+YJILy0GpOyfLVmavJZ6wjQxBpZEhS9GXmy+yuGIsbS+re0GOb7GSbb9S7CtUMGmxke3anSsqhVyZj11Us+YDc8bre8YD4KJWxhSAqcQJZu0KjHvflQRMTaTceFVEpy946ohHlJQsIkdw5avcIKxdSVmilS5sUaw41Z+NNUZQWqmy/85duBUJZ6rUISXUA81rX7SFb33Vrt9M+offs/eKm9cyOMAVOybw/NqnT1F7s0yC6zExQpkSExfe9bgdWPl5KQVfyJeCtfNCq9z7rjK3FGMBZmYLilL5q0qRNcPHPt3gXe+Z4PyyD4Fah72rGUtflIAsxvbZyQ7aesxd8rkr57tyysbe/GveyhnN7I1MqsA4c5eGZGrjpkoJu422KAJTYQpPXIiMtXGPmVyxLI72iCPD5umUn/3BDksdyZ99qgU1t3SsYXJ700hirDYORKnoymViMwbHsbd2dmK+309ehFWyC7O9fTLpQsbcxl1M2R83+J7PxeXaoycXNn+61+tXjqksv3jJy25D9D56986NCw/Oz8QEQZJbelXrb/17zsTCyo0MwKocQI41BlfB7YCsMo29PrilTFGh5vBpjz/5VJNzC0EBbjF2l1ZmeaJwTjyXmBjv1Ck3Qld0H+MvyOshyvr7G1QlBVs9289L3rcuy5LyhUBJk+v1XJVy4FkEnHnq3lmG2aTazGFJIsnmuZR3/qM+e7ZHEFkXxQaZiX2eB6EpGJ2n9q3D4lL6+d0GmdlzbcZT+2Jd2zDVY/aioUj/uwBzlMDKQLLvRPfBd//2x+5+xSte9swAB7j8sgaX722xdVNE4CUZL62xDJUsJ2DKLooeuwjGPG9R/e/kuNed/Y4LLuWYLFEyxQs0R856/MffmuLLD9Ws7qh43WXv23re2RgIbywVLsQzSIXy7+Qd4FUtnrG2KHmElQtj/PfF+i5JdlVU5qSY8cfCMiwDuZidUv1ZuSjLYD1qo2XhsGhZeOVa2m1SjJ1Wq7VCDwWvvHHIL/54m0u2RtZZMe6u0wLkGeBdQJyBfKiF88txjkrhkSfrgDo169iGZXuwYh0WuYJhDCtJjcb8Vupzm9cQhTf+RjDzDqT0ovaJD9HuHSXwBcorla+WA0lZdVHGA8uKc8I6AabUJRfFMbiw7xXgLqSKlAnK1xy/6PGffmeSD93eIBJuc3pR7q8swC2x7F3Uea+z/bYwayQJ64CTMeBWGP3rEXf5h2P0nQE+cw7WFItnJbS5o1KtE7cXi3EZxCyzWTRCSO20srABp8gzodJlRYsoNpMsiTbUvIR3vLpPquHnfnOSExedswLkOmGNZHEXkwsecb2dmsJZybqC8k58afIqQukuZuEC1XJaPyMIcHJFwUTNcOU1W/jnP/TGKIkT3vf/fh2Ap3I79Wb9JyNxzVX9aOXlSq5QC9zsv0oJbOGqZLXggrL+1iVNritavGoPOlAL40CclcNaa7CShvdSTiz4/PT/mOTDX2gQSbfzq1jvXs5YlobXu4O4rjShHMCNOSYVwFfZeg1t/w1u47gu14WvTdtnjG9yCSPG2Dt7T5S0eGYfFiCXZOOEBdmYB5U3FCcJ+F7Kd71ugKfgZ/7HFCcuBrg5zNWLUBsrnF22WCOIsIzrS4Ff+S42OFfZe66eJvu++T9tGnGXxgAAKxxJREFUsmm0VBohtJuShdHs2NziVbdc8pVrL9v+k71+f81xXSNRJloNHnv4i51arXagURdpGCQEfkLgF5s3yZIut8Fj2csuUvFZoJgBW+U6u/Qoy3Kk0OGiIlMSpEo5u6z42d+c5MO3rwPuNbagPWi+rHbprMfeGZjLlXywjgdbAvQ6fkEOFFF98xtC93iAOe6LF29a16IsUzK5o6kO0c/mGhZypjTnMNPmukgAZSl94xJBdqCnxEvh7a8e8J9/vM3m2biQKKUsZ3Ev63IrWSKXEMqSQomTJIkR+fNCi9ufl7OU2c8SVx4QJVaaRDFovLRWaxz4xCdv77SazTWH1lvveFtCXv3xnVvMLcr0b/BUQpyoXLeZUhFW9liwuy69LhdZFc6JyEGvK+/lQeYYcyulSXzBez7e4kOfaxCpMqC9sccSuMXajOW47q7q6gKg642HKPvf6+nr3CYT4q+L7zVWWDWpU25bM5W0fpbFtPKmvFuyLWaqOCklX9xKE+ctu4KszCdP3T8s7GhbRAoeKe94XZ8Dxzx+5b0TJFCYzGOuSvW7SRJ34aUSdObXiywXUTgp0lGEHTNhKp34YF2a1ECsJXEKvpJsSFqPn1/s/vimuda6f3/dj/W8G1/N9o1n001bN5vlfodB0qbV7KOUriRuhKgWT423muXW4Bpfu/zfVQPI3AbM7kqDJ/j83XU+8PkGI6kc1ZYBXWJvCmlS7KtTAjRloBd+cWW/HTEG8vKFT/l1ierdL6wpk/1GwF36xYpMYSxVTxn0gmwQTvF7WQMEFdbO99scDz7zx6IYKws4LYOX2DyVhNrwna/t8+oXDRCpLmpVSkVZhdOSlFjdXkyxtmw+MoLYsXeW3k9M0USRmqJ4q+KsGMvgSyOQtR4zc3127r3EPHEmTr/1W1677vH1nunANzZ+B6Mo4kN3n8U3h/nRNyVo7XyDNSn6tYFlcSFot/zrXMqIclCZZSlzOVNyTjyN8OATd9X4yf8xxdNHQ9cwvA6wy4GlyLKV44FlmcHH2tHKTdMVzFaTLOO6pZK6HwP11wX3WBpzrTwpeeCUA8sxTzzrYDdVpi8/6gqLA1rmCR6NQJCxurTBpjBorezKIKwGNilcuyfmv/3LNv9OwafualgWz5ncLQnClJ4rd4Ds5ikx5ImhlEKbK+d3S6w2z7K2UpSm4Ao7WrCuEv7pq3vccs1cb/uVN31AqQa//jPrH+NnWFggMvNmlM79zz07XrS6srSFo6fnGYwCB3JYk4LPEjSVGpLsdbpGc4+DW4g0B7cSdoiP8OBjd9b56f85ydPHHLjXeN1VaSKkCyop7cyQ6W/GQf0scmM9V4W193XZeoyN10f3s7w/VqOSOSXl1+N6vZKyhzXaO/fFy3q8rL2djVixD7OfZ2W2WqEjyVW7Yn7lJ9p8y8v61vPTekyHP9Pd9t+l2jJ3ZCByrFwUahVavKzDwXZNNQPDFRsEU/48l+x82eKk2f8b11+54xkP9TMy+ERdcOL4kfe/+oW7/lMrmZwajFJadY3vpQXjlRsUSiC3HS86z2RmgaYoNTAIUYBc5AxuwS2VBg8+dledf/+bkzx55JnALQsmd0zr59Jk7fCeYjy0GdPYzwL2MmbHLMR1igdLaP/Gdfj4ljH/v/a+PE6Sos73G5FXVXVV9X1Od8/ZczHMwHAO53CrrC4owuoH9cO+5/Fgfd667q466hMU962iLjx1cddF9rPugsCCLogPYUBAuXGAYZirp2d6pqen76OOrIx4f2RGZERk9UzPxQD74vPprqrMyKyqrG/88hvf3xHSWiv747iU0KpLT6FmzXmsqJBq1jzUwEmUea9yc3AaWvYoToUp3DxcsTWOkkEZWDHfx/XXjYNz4JemJa/aGNROjBFZsSIggIPIgUNiSTG8juF7CkvsUI6UDWztz8O3liGTzu/32tr721lX314Cm/zY8iVN/86Lu2pcN5BZ7Tq4WWIyadKRePLJFLrCYtBHtITQkHP/6vEUvvj9PF7e7lYHNwzrHeVF6tnxIeeWEYPQrXeCkmgTRgPMJtihJz6IEaC/PDDERcJsgp4gBq4IKpJ6OFT6oXL0WFGJrTyXtCSUCRWwC9lQqCuRsC2/Aw0TCUABwi0ETOhEAMocx8/38a2Pj4Nx4D8fT8e6ePJbGjvCOuWhAwpy8SqbADYImHoVogjFIHpeqAB7xjhW5NqmyhX+sc6OltIhA7xYGGT5+u6nKmzN+OYXH6tZ2shRKHm6AqJKgaEJUOJNFGBTBeCSlsQAt0gAYjFwi+D+J1P43E15vLJtfy54HdyUxA4dVQ5MxnmbCbzxZNOMGJT1TiTYiWblBZQl4GfiLcY2g4UoO4g012YorT7pVMCtDgamnCLK4ySIga5p5KLGYcTFQyGaRvQ59LoQsXxDxMkpQjYCERBbruC4eT6+/T/HwTnBg0+kQiCqWBa1loV5F1WApJguvK2ClwNO5CiyIgWMIwQ54wTDBeCEnhI+cNUZ40sWzn1qaHSY7Q/DdH87nXQLamtr9728o3jF7uJp/o69ojRZFJsiUshI/GeZurbCuS1icvFIPYksN7cIHnraw6f/Lo9XegW4o4uh0RIrQllIUQig1DZRs3SqpJ2p1hvVLbkO8uQ2iV2jn7r9YBs3/lR8qLmagP4olRHornxND1f6yZUieFJZieutKAkSTH/kUSaQjGUpEyyf6+M7nxrD2lOKsFigcHJTTan2F35YHsmTfuTqL/EoYyji5uI6tNRN47r3LfHnto9ekamp29fe1rzf67pfgNfnUyhPb8Sl5yzY9bazT9zKeRcmpy1QwsNqrTLxQAetnFQKwBugjq14+EcsBm4TPPgHDx//di029bqQZaZMri1oCcR26NQEZnaO6r2sZr1noizJsmtVAa0C3xwBcZcDgrua+156LGHybSL5uCklMiEjGpIhh5K/CTOWJc7+4WrMiraqhKVNPMXKbiyg4GWCxd0+fvDZMVxwahFWEESBI2rsiiorKrEsPI5lAQ+TIyrRBHSaAQVGUAxCWTHjVDCvqR7MOX3rUHnVrqdf3gZCUocOcABwHQvPP/PH3n3DqQ/nG49DNj2FulwBKa8sSxLLWO0E2BWOrQI6+rMIg+VycJvg/z7l4ZP/uxab+lzwqpxbBbkAfwxucTtLeioNQEPfpsVHGxitOtk0LLkOXq71C/fPDG+eeBK9VMy4SkHid+Ax8JlBU6BYbWVgmIU7Y5BTzZqrKgqX3k0BdkvZLgAfWnNeIljc5eO7nx7DeacWQYMgCtBiMZhRTVVRg7iYVFpENGGRARM+w/AUx9BEgNNXL0W9yz78/BNP9jK+X4YN4AAcHACIuxh+eQq2k9k9smf60S0bnbP39g1jQTtFygnr2JFIo5RauKqcgGsgJ8oEk3ocO4ZsPPG8i3U/zGFTrwvu7kfjFlabxoFUkpoAieycGWkKRMw3rwJ4fRBIFCveTFlUU6UryuCIJv4zuPNnBru05NGJNK8liYGvcvBwgkqUPtzg4pCTzBDUPHbhU8HdxQQzlFnjEAAScXUacW8GYsWqC8JNACLj4TMsnevje58ew1d+xPD75zzsGALgIu5LVJsqlBX1kULaXUKACkfem8ai5kmka5qwZPmSRy+44MzdE5MF5HOZAwLcOmAPAF//+vW4+NILhsssN/GrJ70r//m+vVi1kKGtIRxpYVSgnrGjTi4p5QZ14bA8jk39Dq7/UQ43/WsWOwacsHbgjA4cNeaEglDE3kqqF623RSEftRybshyIRZSMGiVzRt1mKdWr4uwbomXYkEh3l0vkEVHBSuxTthG1T3U156AeAWg1/ag+ME36BXClD5cjklQ5lxiS1e5m2nBOdABIADQ1BDj3pDLa2gJs3GxjeCT6EcwRPdMwl7cwAgTAss4iPvfecVz9p6eiq3veZ/fu3fxY15ye2UD3wBZctFRmCVLZ/FM98/jdbjB5WaX8LErlCdhWOQqOinRSAmm1pRRIuaQoBBw0BWzut/G1W3K488E0igEFvNmDGyQcmdoy26RKtKAEj1IUdIZtevhrzD/k5io++Ji6GLPMw2zmb5/0TEIsY6MHaRFI9z1DFIIqLbvYDiXyEIrSEns8qYgXkTGvkZQYUZcoaESPQRFaBgFohaG1IcDVl07Dczm++vd5bOkH4CmzZaIAWoCayCxmOaKobYP7GQRkKRbMO/nuutbFTwETs76Wswb4SStasW+gv/cd55/yid7WZ60a6rwzmy7Asnz4FUROX/Elw0y9WBoMIk8lB3WALbscrPs/Odz5mwyKIAcNbiEJhhNKJbaEKnQEBt0Qj1R5DWN/BGQtBkUxVglOblIUogB+tkhOdA05thZjooDZfOSRi1tONIWDR6Ug4lwM0dryEWURoBbB2NJJJOJTWOjCp7ELn1IhFSqfXQV5FB/OiwyezXHFBQWAA+tuyWPrbidEXLXLQ6Bro4wDQQWMu5gsZrGht+neq1vXfKJv594d3V2dRx7gANDU2oGNLz+0w2s4fsP6Jze9s3dnH85exXDaMh9gjsweIVCcOCTyVFoc1AO277bxlVtyuOM3GZTCurczgJvGf8oa4zSiJaZqYin6t5mga1aGFYu8iH5I7E+C25RNTHVFR/rBXNWYeyd4uPKoVsCSQVYiA9eMTyGGNzQ6T1jlWHcAQWrikUVn4QyF0NCKMuHZZALd4YMWzRg5gyTIEXWtBEjbDFdeWAAI8KXv59G7xwbcGTzrMuWJweE+Tl8xjdU9RXR2rcI5a47b8Ls/PLLjrNPWHtS1PSiAA0DFaseSRR3f+vFd2xbc81vrqn/69Tbc9dXdWNLFEQRUsXRcA3eZUzz7goNb7qjBv/8mg7IELp0Z2KKPghoLIs4kWVPQrOmdSEVDDOJE3LdOJZMUxNymWPXE73SwF1UFtmaxBcoVcJMYWHLCSbhURSRd4TxePx6IC1tGwGScwJLOIpG8jLCwplJjhSNceJYi1KrDcyrae5i2I9/HBHlQCeBZHFddWAAYcPMdNXhuo4uSSm/EBY3qRRAGLO4u4uZPjqGpvhte7byfe20nfCsobjvo6zqrSababv7B32Myc17Jy3b/KhX0n9uY39f9jlOnkUlZ4DyK6CWxHm7ZHAUQ/PMva/DR6+vwzEYPPij0Ot1xJGCClkh5EIkQWFskM1BDHpQZ8xxmiYa48H6ydINaFlnbr5SLIJTENxRZzkGZdBJRHkJsP8AkUwwUmtxG1YmjfK0fH9MpkhzIiUlplTuVNtEU1E4MUWVRYOGpFVZAHffykesGASJOHbDBsWxhBe9eW8LwGMHGzTb8QIA8Uk6E3wMWXJdgdQ8F4wsf6znxhPc6/vOTqez5Rx/gAPDEb36G799wjX/WSXNPO3ney6vaG6YtDgecU+m+t60KLJdhihH89J4a/PUPcxiesMEIjQrRHwDcmjWPwS2oiU3EuvaGOkKSqol03VOFwlRRTmikioj9grOr6kkMLBVoah0UA/C0OsBVwCXASpL7tIEBfVsyCpJAW5WDxKCdSQpVV7aW9E0kiiqArhYDHz8qg0DrF94hLHBk0wxnrvIxNEnwyiYbvi94JQWIA1guYLkollxMFTpx0XlXbt67N3dre9fFhwLVg6coormOhW07XrsuqKw+s29wckVbXQmuGyoqTpQtv2XAxj2PpHHDrTmMTtgR346+DOiswS0nlUSZVFIkEhl0i8aTPzwU7g3jh97PY1UuLl/rhMSkJ2TGPXrTY02qqCQq11ZOJTl5NLmE4N4k9nKGEYZcWlNTWeFEKCgi6VfUGaegLAx9CqmLiCcU1CeKRkSYJSQmmBYFAAYGKxRExC4W+uIbsgG+/tEJpByOex+uweZBcauioJaDFCVY0EFwzbtXFuZ09vyBaNr56wTwZctPxea+Sc6C6XtHtk0sGp96NlVLGdIe4DgV/P4VB+t+nMcjL6RQqlhVwE1nALfYF/6KFNVju6nhxNEK90jLq4AVyecq7qRrXgFP2LeKy968GOZOUrXXfsFNFOk3uRMaNw+BLYCsHhZPLFUpGdVAHSkq0tFDAcoVLk+gcO6Qs4edGCjClZWB0BMawo+FLn4aeiApBWgEcsqioEBKwBCA+xwNmQDX/49xXHxGCV/9cS2efMkGLAKPEtTbPs4/fmHxovPWfjeXrfwNIQ2HDPBDHxoAFnVlWTD25Lp8bceNlje3DA54ro8nX7bx+Zvr8es/5FCquOHCT1QFcJygUH1yGSJTWG4RRKWHwcZgTt7a9dzKhO6d4J4G2M1tyt1WclelT2IAcBx8qwJsGQJr4F11xQtraqa2xduNJAeoCog+WeSc6nEsslhQnLysJi1zpYgQV0o3h8dbSjlnK45lYXZUm9yCaxFccmoJ37p2FGtWTAC+D4sxrOhpL3e2td14x11PryOkgR3o0u2vHbIFF63GmyyDtn7TZgPlocGtX7v1fo/e9Vgez29OhyW/hLdBu8fvD9wCujE1sUkc100M661yTVEX0fQUJsBsADnxaA4AE/DViAdJAn1WRlyx2jOF0Wq0pApFkZZZjCxOwDgDIXHpCen0UUFOuDYoQhd/FLrKwmsZDyZBSygoZ1H9FUROIUhXP+U0On/ofg/Fkvh/WEAzdOgEZYCUCU5fxnHTJ8bx84cDPPjcAjZnTuvXOjta/65vYLR8uPic/X10P237ptvRXJ867oHHd71wzbrnrLFiOhw63IgWk0iIwC14uBo1GCFFBFGJ7Jx4FTS9IqwWb2Iuwa04fhKTSrOfMoG0JL0hCSWFkDATPFZa1AKcJHbpUyInqISIBal0RUZ71LZFYQY0/l408Vz0iUtXS9VIK3BqFEc1C6AqzwmJl04nWtiFXksyTlJRCjgRPflFTWyJ/SGK5InwDhAEYSqcRQlGJxme7HtXMFjoWeVZUy99+KrLDxubh23BAcAni5Fpyr2WyrZd+6F31d5y56+fpaNloBBYYBUSuWFV26TwcCkN6eAWionmfgfXCmRSQykw5bFq1ltaZDHcSMyzxWto+5K83HyV0MLlHULZb04MFastnxAkLLp4NK24yq1JJHCHfDnm5bHF5jotITFPZwQy24dSSK8mZYicP+GniJ1H4RcKKQkLJW8Wri4XpQpH24ncHn+XmG1wEASBhXLFRbHkoVjykG08m51z0oprt4zOe60xNXgkoHl4HFy0np5T8MKLVvnt559xa0ve/syJC+uQoT6oALH4VSVVUemIAHYMbtMNXz0z3qxSxRMArjrBNCiIBkiVZsywTwIWKrD3OwWdVeP7267sNGsWmtvC1zG3Vj2kMiFZCY+FUufGrGsoJpeJAkJM3yb6Sc7NkpycRfw+jjiF7Ds9baFQmYvpUvYzbV1n37qsrVRetvikIwHNIwNwADhhVQ/6dg4EH/vQn2z5iw+dPXHCshoQXgH8ClCJqiEJ06OFwOlyYOyp1BdmNVc90yeWydqCmvPC2CahWGWiKaytqp7oFl+32sY4OLTGqz6VL6TllDKg4t5XzLzG4aMXYYaZALIKYnWgqCCPB4eW9aNMZtWlw7nM9FGAXCV7P75KYbKM6/pwnQBBUEH/eD2Qu3iia/HlWybG9waNLbOLFJxNOyIURbRcNo26ut33XnLhyuum/PJ3xyd/2zA6PoiUVcTOfQ6GJzPR2uiGYhJ9dQtQ1q5UuDVM93sStEIxITP9oYoFB6SzBEiCtpoV115rnatb/tk0yTiEOx0K1eDx+3Kor8UEMta9iZKnKeVDOQkN30RSFA3kUY1DFi4oK99HGUwsWsJE0EClXme0bIqQECHd+SFd4dpdg1oco1MMfUMOWAXwnA7Utb9rmGVP+eT9T4/de9GJtUcSkkcW4PX14Yfr65+4bc1J59vf8Pi3suyu5jmNg/irf0jhXx6sQaBm6AilmZhu+Jh+WODSZR3nYuvWWwAfMIGs902oJ9X4dtShGv+G+boK0BO43g/QVfDqO4zjqvBzqaYYOrmIX0kAmAAkqoUWW+14EHFiADpyYsroVjEoCKRDKGLc0voLkCNy+lAwqcKwKKGZWsCvnvTwhR92YfXSZqy79sLB00487wvg/m0n9sw+SnC27YgCXLSujhxKhal/POfM8+nuLQM3ZMjOZtuxACsVumKla5BIamIb4LYQWXFEQDfpCdTY7moWmydoiTnpFNNAU0IkJloNbkMQ99HweST4igFiEIN6RNsjrMYTSkA6iwQgxSnMySZBFSvOABbdNcW5GCHS+SMmoWZ5izAYi2kVYWOtPtLKwUCiwkF2haNc5iDFFFYvP3lw+fJzvzgyUvnHhob91zc51HbEOLjZvHQNJgbuuTWTcT//8u4Fw8+8Wo/amhQylhVO3TmTH8ABEkv6iaW19VgN01mTXInBBHFVWgJoUwEgBlU1TFez+Gpf87kqVB9cGU4dzOrEUXJshX/L7YI/y/0xZw63q9Y8magcT0ircW7TGaRPQkNPaJzXKdfkVCavQqoslVMYHq3Divk23nVJ3XAmm/n8D3720K0NDbmjBcNDC7aabbvxu3dg9drzXtyxr6lv32DdxTUY8zyboehPhpX64cChRFkYKtR+bVPPhqFlK3+aZZeh4zpn1yy/0K8J0bbpz4mxPQ6ekncMqqaL6QFVlOrRhXpgVDJlTQycah7WanEx8T4jcCvaqQ/ueIjRaIe8AxlGIL6jcX2ffF9x1+LGYFfuyPI1Ip8Cg0V9lIMKBvbVond3Hbq7Fk10d7dc11w/cfufv++Dh+L3nXU7KhRFbTt2NjNG3J+fc9JUxQ7cn+a9l1PEG8RNd9bjhe0ZpJwQ3DbRpUBx0WVysAC6vJw8YYmrWnMVKOYPqvBy+RuJn3E/hlfn4TObdbKfc4im/rozcXLhepe9iSDdiCmMQls0LV1SFmVN+4iiyLsCEXcBHj+vNlmNgtXUu4P62cEBQmnM8zlBJhXg1T7ge7+oR1DI4aIzlxYb2pv/+3HzUneOTviH5YafTTtqFEW0L3z8z7BqPoJsbtGdZ6xuuXrtaW3FUolh17CHvAdkbQbP4nrisGK5VWusgnTmApq6wqK50A1aoh0LBZvaYCFaX5OX6Hg0SrfNss2ogVfRutUDtKAqKPREoR6J91CTIhBLhFIrV+mKei61L9clRFXrFmWYK4ENv2JjquChpY4iAMO0taA4Wmq9uq1l3p3rn7WDxSvff7Thd/QBDgDvuPTduPysV4NTzr76F/BqP7hzfOU0L3uYk6sg53C5+hkliJIX1Iq1SbCInEuNhmD21lveiqPzaRNM8/2MO+9MHF0fIThohMt5pQJYAiTQbzp1RBcZyqo5dkzQkypgVXxwSqQh4/ExMac2P4u6khtFoARiBYyiUPIwOFID8Dzec/686RVL8x98adv7f3HLL/qDK95z+VFGXdiOKgdX299+725cckkdVp50+ssXvt3a1l5LLyT+RKpY4Zj2Qx1QLjdCDemNJLm3GssR7+daXzNyMM7WIfo2+ZxoAyLOytH3UZV/Ez3mJMm3q3PwA/7BuAtV+QuvDZnh2Hj1N+1OJD4D4msb9xHvpdy1lPeiYkWP6HziWNXBE/Lu8HeYnHKwZyiHCl00Nq9z7keveo/784HBJ/D5a695vWD3+gEcAG699QGsu/FcXHxa64a5cxr6G5tbz0ml+jOv9k+hUnFR4/KwHCGJtVhBJxOx38bE0FI072oTy2qZMfqkU0wQ9dfqRLLqAKEKkBKDYfYABzFoWFXg6k4pbeIZPaEqYJWBAuV9NDBD7yOsChVvIvsZzrUoCAuApCUBC8tYp7wyCuUJvNrfgM65ZwxN+As/uWuo9XarOIpLLvno6wm5w1JsD6u91jcCEOfPi8P3f/O/ffmh5t5dQFcdhWsBJR8YK1JUokmXRTgcS6SixRk9ulLCk8Am1QBPpHXW9mnWWrHoai6mOhAMSy4suIgYVLeJgaAeY959SETP1H1q6G/cnysDTY8sFFKq7EfVKEL1GsXHxQsZxK/jPvpSkGKtU5uGhVcpZQABGLMxOe2i5Ftw7QD1+TEElOOVofcNXv6Oc/8S8H9CSNvhg+YQ2lFXUWZqPV31GBmd+AnJvY28/13pG+65b30zL40hX2PDtjl2jJXw6h4PNTZBxgbA1dBPE8TJQCvRdB5ONJ6t34Lj27Jp7cJNPNFHaypXN3dV2254K0lyk9Y19jZCKieSt0deSW0fMTk4j75FpITwuB+EVxOQTiBoOnroqhfUhyMEvmNXkHLL2NrvYfe+HCixkfFKsJ12LFlx5uDSUy76Ihj/CbEajxXMjh3AAaC+LofJielbP3TZOZXOxtR3Hn740XoEE1g2v4R0bgjfvSeLrX11yNh6GTYN3OD6LdfgrAkHjvhnjASzf0IR4cqKxtEOLk+j3MoP556oxI2YcSjqG4pyKInnUI4xwm7jOBeELntVEpQOfiEfRvujLyXr+XDIqlggQCblY+ueIm65N4UMtbBsrotF85vRMGfNiJU75XNl3/6pl0ofE2yJdkwBDgDZXAa+X77tgnNPHh4f2buwqRY3ev4jzqK503joOYJXt9WCCuePZRb20WNNVFoCJPmlyUGrWXzsZxuAOCByhn4H02aMRVHeVbXM8pjotRqiogVhRcFX4GEwFkEcK65l+UA9R/g/LN0morej7PzozcKtYbFVm1G4DsfGPoLfPOehp6mCtWee4tc1up9v7Tx5i+Okfmk7Do51O+YABwDHcdmO3i33XnzJn7r+5EvTLhu/+fFnh8nvNqZpLgWkLQ7PBmxLrKWoWGQT3Mp2nQIo9CJ6Uk0aTODNQDLRdsx0kLLrCMxyEhQF1emM1MoVy14tqpCIDyaSGRAvbQJwhAXblHfh4YpoYEAAjsAOV0qeLDhY3TOFtavBuuaczud0L/6Ls05b8k+bewfKSxYfuZDXw2mviw4+m9Y9dyHq01vKra2Nt3Us7lj+zK4zvlybX4ic6yOXYsimONJOuCy9GWBFZwCpqSSYUlrcN/qvcHVdOyf6gAAwcxC3OC/BbMx7rEvPosk4E3Fs0qljauGqUwiqhzJxLvHESHTg0UpnjMCvUBTKNqYKDianXYyOO+hoWYTPfWDRl/ONC5bXNbTd9uhze94w4A5/hzdg+9g37sLmoNM6xd305eHBgb8e6N9hEe6DcYKpIkexHP5IQk3RnDPRc01FMRSSRDliJR9TAFxXYYgiKRJNclRlw/A8eollM44lVlj0ARpXzjLlTV0dIlVUk3ifuiw5N4438jWlSsPj8yiIIAiPtyiT1KdQsjA5bcP3OXJZC12dbUFDU/03OpcEX6sMkcBp+sixhk6iva46+Gzb0w/9HNdd+Tb+pU9d9fB9d93u5TL0VMqmbLAy9oxUMFWioISEnFyx6CqN0K17UvtOOHiUgSKDklSLTs3nSnCVZvlFANRM+vfMOnhVjRvJiXO1u5LpZdUeoZ9PDDogeS4gtu6IdHXHZki5Ffg+0Lc3gxJrxPye00vLT3znt5s6zvrSNX/2Ad4490PHGjZV2xvSgos2OjoO2yZgjN+wp3/7mvt+dR99ZefImhc3D9mTYxm05Dk8ByFHjJa8AKCD2bDQ1eoRiv6xsyWO0hMWOqmTJyMMqVmmjR6cBSdVPyNP9BEW2HyuWnSpiavRlYomHmfMx9sFwIMgdLUDHJ4ToCFfwMDoGCZKcyp7htqeOPOcS1nPwvlPlH18MZshSKWPXrjr4bY3NMDVVtz7M3hpN7d3aOxHt9/fe+W/3F2gjakpZDM2GCOYKHCU/ChZwtLpiwyNTZRrIFWtoRnSKoppkioAT7rwXweAS3oBjX5I2VQbsLrDx6JVAE44LIvLlalLvo3xKQcBA1JuGfM6OP6wvZb1jSz/N6DhIwSlia995vJjDYlZtTeEijKblmq5Gv27N03kmlIfX3Py7s2Dg8+v4OWxywb6e9HRAvz+NY7xCYKsF6ot+i03rtUHoltuAe4DDvUqsoVOHcgsZL9ZtFDIiLN0QCBKbsjzz3LyCkQFeRjXXPEETLk2ER3hHLbFkEn7mB4p4YXX8mjMAcuWLgTNZO5ee9YJG4g35ybOChOL579xJpEHam8agANAR/tiANi3dfuOL33qY4vmvrLxNQz0b72s0XsKj2/Zh6GpHDJuWIvDtkK9l8lIOYDymGObmvkBVQyNH5OqQD4SkiBmkAM1z6XRp9rn5EC40kI04yZM5K3GKz+H8T7hUoOChmUzU9i6ZwrPbW/BNZetxIIlPXd3di36ZKEw1dvYfORzJo92e9NQFLMN7hsGpfaikX29K/OZfZ/49m2bznnwkS3wgnG01ttwbYKSz1EohyB3LMC1CVwbsG0C24pByli8LrwIMtJiRShRaIo6QPSoQrV+t8bRaXWKotESdfJIq1EYMy7FqHYl+8fWXoS4hgOew7EZPIfBdRgcmyFgBMWShWKZwrEZ6rNTmNNOwbwevNi/Zv2ijuxNxy1b8GLZr2zO5+uP9U9+SO1NZcHV1tzUAACbK4xvtgg2LJxH208+7vgfvrZp46K+bS9ZNqlgx94Ao9MENgUybhiwRWkIbscOARdESzMyFgFDhOqalEQqEiZPgWK6q5vVatRFfU2iPqoKZB6jejD1z8aVc8YTRcZJNFmEdN1b0YTTsRkyKR8W5dg5nULfgI1sxsX8hSuD5nnzN9uk8NGlJ56xG8AmckRuS8euvWkBLr9AeN/d1Ld7eFNQCS5pa/DmtF568h3bXl2f/8/fbavZsHcclZKL7log7XFYFoHnEqRcCkIIiqUAJZ+jEnAZjGUpwUZaYBagOHyIBkgTB9IZHrnHVVCaoQRym8FHlCV4wnOSmJ4A+rnE57Ks0JqjAhQCgkIpHJLMC2kbAHhOBU1145guFzBWmAvfmjd11gVrx+uz5SuydR27CLV63+zAFu1ND3DRutobwBnvndvZ1Bf4k8fVpHH68Sec/uMlj/yx8pO7tzfw8miOkgA2BTyHIJ+1kfEIRiYD7BtjqFQIPJeD0gRSIQswEKqDEjpAE4FRgFJ0R78lJIO7ov6Ku12chkTvJuqYQHl/tRESxuykPAa/wtE/aGF43ELao2CMw7GBGk5g2wR19Q0TY+MrhntWnWYvp9aH2zvmPtlYnx3jAKNvEXADbyGAA6H3EAAbGxkYydfNecDB0OLfrv9h6eav/Oyzv33k9x/o277N9+zi0rSHVC5dxuLuAjgdxGu7MxgZq0GLra9Ro5ZoiDk0oBIVlWuLFuc/xrVJGCeJwWA6aERjyoRYBFUJNz1Y7K1UKYmYSFuUoz7nY+/YGNZvoODlHBZ0uMjW5EFtu1iTszc2tnc5+c6Tb7v9f135t+9/3yVed1uuODU5xZqOYvmGY9XeUgAXrba+FQgLL02/+Mp2OI59o2NbN551+nFWfV3uZhaUFvNS71ltta9YD7/I8couF3VWBYwROI4N2yJgjKNSESsThDTDskKQS2UmajKrB4CoF6gmt4eLspJooAglJ9aqBedmiGkJYwgrSiOmKSwAOCGhU8YO43JAgEoFCFhY1dVzGRgrY9ncEhbOd/Hipiza5nQGq05Y8Fg+l94UVCavJXQqIDSDG/7mbp7JL5g+1r/X0WxvSYCrbeWyeUBsVCsT4+MfAUnVIxi4fmLvtDv+VCXobO9ePb+Rn1QpDCHtllCTtrBvFBibCuA6BLZlwaYUKTdccqVUClAJAjlhtSKVJUwM4GCcgbF4ohg6e0ToapRYHdVwEeiNJ7vhcWofy+Io+wSlctg/rDHOkfYCOHaAfaM2+vdWkEkB2Zo00rkWNDWNP7Nsweizvr3Ieu8Vby8v6m74q8np8khtXd2x/kle1/bWIVuH2P7t7t+CEJxTKpcvJqxwRdouLyG8iMeffgnPbCogKFXQWsfQ0uCiud5DbY7gpa1lTE0zZDMUNWkb6ZQFmxIEjKPsM5QrDEHAQ2WGA9QicGwKz6VIuRSeCzh26HEFQstcCcJCvCWfI2ChdU57BLkMR74mwOR0gA1bKDIpoLaGo60xQHd7GZlMgA1bG+Fll6C+tgZzWlOvtja7d9iO+2vO+frOBQe/9N5bqb3lLfiB2pWXnQcA64dHRtYDeBQ8WDg2OsR27NrGSm7b/K6W9r8cH9qFjpY0PDqIOQ3b8cBzwMSIg545KdhZIONxpFMc00WgUOIIKqEqUwkYGAesILQjjh1q4p4DeG7oNmecoBJx+ErAMV2oYLoUIOVasKgNSgI05sfByRh+/2otzj6+GZ3dnWipL2PBomaUi1u/6W/h2y44cw2tq2ugqZSzBeAPvFl16yPd/ssDXLSG+noAeEC83tk/gJTn1fX27X7ijxscNNd7fndHz6ca8ysver8FTI9T9G39IzyriJZGoKu1gJ0DBJt2MBBeRr6Gon+fDwoO1wl1d3AH+RobaY/BtTlcJ1zeY/tuF3U5oKGWYueIi10jPrqbLHA4SNfUY8nxZ6GrUsY1XhbtefpgNlX5Tn2t79S3LEO+7tL185eXRjPZlmN9Cd+Q7f8DfIbW2dEKAKMA/gMAJsZ2A8BGm5ZbzzgJrDgd4P6h7aj4AdIpjsY6juGxkn/c8Wesc+n0n8xtK/uPvsyRtTg8O6QvDbU2OlssNNUFCBiB5wRwnWkMlTJYssB1ujq8+x54bsO6ad9xCKUg1Ibj5dDYthINhOD8rENrXGuAA9vmdbcf60v0pmj/5Tn4kWz/es9jAEhrZXqwdmFngT/4AkGdzeFaBH7AUZ+3MKeZorEuQNmn8JwAnjuJh59JY9XiDFmyqH6McwzUt6891l/lLdP+H7ZXxznkpn1WAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIwOjA0OjM0KzAwOjAw0aVivgAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMDowNDozNCswMDowMKD42gIAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 52520263
{'hecke_orbit_code': 40532396679891272, 'n': 1, 'trace_an': 2}
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id: 52520264
{'hecke_orbit_code': 40532396679891272, 'n': 2, 'trace_an': 0}
-
id: 52520265
{'hecke_orbit_code': 40532396679891272, 'n': 3, 'trace_an': 0}
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id: 52520266
{'hecke_orbit_code': 40532396679891272, 'n': 4, 'trace_an': 0}
-
id: 52520267
{'hecke_orbit_code': 40532396679891272, 'n': 5, 'trace_an': 0}
-
id: 52520268
{'hecke_orbit_code': 40532396679891272, 'n': 6, 'trace_an': 0}
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id: 52520269
{'hecke_orbit_code': 40532396679891272, 'n': 7, 'trace_an': 0}
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id: 52520270
{'hecke_orbit_code': 40532396679891272, 'n': 8, 'trace_an': 0}
-
id: 52520271
{'hecke_orbit_code': 40532396679891272, 'n': 9, 'trace_an': 0}
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id: 52520272
{'hecke_orbit_code': 40532396679891272, 'n': 10, 'trace_an': 0}
-
id: 52520273
{'hecke_orbit_code': 40532396679891272, 'n': 11, 'trace_an': 2}
-
id: 52520274
{'hecke_orbit_code': 40532396679891272, 'n': 12, 'trace_an': 0}
-
id: 52520275
{'hecke_orbit_code': 40532396679891272, 'n': 13, 'trace_an': 0}
-
id: 52520276
{'hecke_orbit_code': 40532396679891272, 'n': 14, 'trace_an': 0}
-
id: 52520277
{'hecke_orbit_code': 40532396679891272, 'n': 15, 'trace_an': 0}
-
id: 52520278
{'hecke_orbit_code': 40532396679891272, 'n': 16, 'trace_an': 0}
-
id: 52520279
{'hecke_orbit_code': 40532396679891272, 'n': 17, 'trace_an': 4}
-
id: 52520280
{'hecke_orbit_code': 40532396679891272, 'n': 18, 'trace_an': 0}
-
id: 52520281
{'hecke_orbit_code': 40532396679891272, 'n': 19, 'trace_an': 0}
-
id: 52520282
{'hecke_orbit_code': 40532396679891272, 'n': 20, 'trace_an': 0}
-
id: 52520283
{'hecke_orbit_code': 40532396679891272, 'n': 21, 'trace_an': 0}
-
id: 52520284
{'hecke_orbit_code': 40532396679891272, 'n': 22, 'trace_an': 0}
-
id: 52520285
{'hecke_orbit_code': 40532396679891272, 'n': 23, 'trace_an': 6}
-
id: 52520286
{'hecke_orbit_code': 40532396679891272, 'n': 24, 'trace_an': 0}
-
id: 52520287
{'hecke_orbit_code': 40532396679891272, 'n': 25, 'trace_an': -10}
-
id: 52520288
{'hecke_orbit_code': 40532396679891272, 'n': 26, 'trace_an': 0}
-
id: 52520289
{'hecke_orbit_code': 40532396679891272, 'n': 27, 'trace_an': 0}
-
id: 52520290
{'hecke_orbit_code': 40532396679891272, 'n': 28, 'trace_an': 0}
-
id: 52520291
{'hecke_orbit_code': 40532396679891272, 'n': 29, 'trace_an': 8}
-
id: 52520292
{'hecke_orbit_code': 40532396679891272, 'n': 30, 'trace_an': 0}
-
id: 52520293
{'hecke_orbit_code': 40532396679891272, 'n': 31, 'trace_an': 8}
-
id: 52520294
{'hecke_orbit_code': 40532396679891272, 'n': 32, 'trace_an': 0}
-
id: 52520295
{'hecke_orbit_code': 40532396679891272, 'n': 33, 'trace_an': 0}
-
id: 52520296
{'hecke_orbit_code': 40532396679891272, 'n': 34, 'trace_an': 0}
-
id: 52520297
{'hecke_orbit_code': 40532396679891272, 'n': 35, 'trace_an': 0}
-
id: 52520298
{'hecke_orbit_code': 40532396679891272, 'n': 36, 'trace_an': 0}
-
id: 52520299
{'hecke_orbit_code': 40532396679891272, 'n': 37, 'trace_an': -6}
-
id: 52520300
{'hecke_orbit_code': 40532396679891272, 'n': 38, 'trace_an': 0}
-
id: 52520301
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id: 52520520
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