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{'Nk2': 25200, 'analytic_conductor': 92.92800825904146, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [7, -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': [1575, 1, [1226, 127, 451], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 4353457440, 'field_disc_factorization': [[2, 5], [3, 1], [5, 1], [9069703, 1]], 'field_poly': [60, 120, 7, -27, -1, 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': [[2, [160, 54, -70, -21, 4, 1]], [11, [-11139072, -2556120, -151744, -2271, 42, 1]], [13, [-51332920, 12637182, 110628, -7833, -34, 1]]], 'hecke_orbit': 40, 'hecke_orbit_code': 175640385534559783, 'hecke_ring_generator_nbound': 13, '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': '1575.4.a.bn', 'level': 1575, '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': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '35.4.b.a', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}+(4-\\beta _{1}+\\beta _{2}-\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1575.4.a', 'trace_display': [-4, 0, 0, 35], 'trace_hash': 1074044197841746628, 'trace_moments': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [16, 10, 14, 18, 19, 22, 23, 21], 'Nk2': 25200, 'analytic_conductor': 92.92800825904146, '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': [1575, 1, [1226, 127, 451], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 696, 'dim': 143, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11, 13], 'hecke_orbit_code': 67110439, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 8, 8, 10, 10], 'label': '1575.4.a', 'level': 1575, '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': [3, 5, 7], 'level_radical': 105, 'mf_dim': 744, 'mf_new_dim': 143, 'num_forms': 47, 'plus_dim': 79, 'prim_orbit_index': 1, 'relative_dim': 143, 'sturm_bound': 960, 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mf_twists_cc • Show schema
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id: 48932411
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 175640385534559783, 'target_is_minimal': False, 'target_label': '1575.4.a.bn.1.4', 'target_level': 1575, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
-
id: 48932412
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396713443503, 'target_is_minimal': False, 'target_label': '175.4.a.j.1.2', 'target_level': 175, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48932413
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 64, 'target_dim': 10, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007405480280379, 'target_is_minimal': False, 'target_label': '315.4.d.c.64.7', 'target_level': 315, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48932414
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 64, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007405480280379, 'target_is_minimal': False, 'target_label': '315.4.d.c.64.4', 'target_level': 315, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48932415
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 189151184416671271, 'target_is_minimal': False, 'target_label': '1575.4.a.bq.1.2', 'target_level': 1575, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 48932416
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 29, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 68786585635, 'target_is_minimal': True, 'target_label': '35.4.b.a.29.4', 'target_level': 35, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48932417
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 29, 'target_dim': 10, 'target_embedding_index': 7, 'target_hecke_orbit_code': 68786585635, 'target_is_minimal': True, 'target_label': '35.4.b.a.29.7', 'target_level': 35, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 48932418
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36028797086073007, 'target_is_minimal': False, 'target_label': '175.4.a.i.1.4', 'target_level': 175, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 48932419
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 148618787770336457, 'target_is_minimal': False, 'target_label': '1225.4.a.bh.1.2', 'target_level': 1225, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 4}
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id: 48932420
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 449, 'target_dim': 10, 'target_embedding_index': 7, 'target_hecke_orbit_code': 22518410520822320, 'target_is_minimal': False, 'target_label': '560.4.g.f.449.7', 'target_level': 560, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 48932421
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 449, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518410520822320, 'target_is_minimal': False, 'target_label': '560.4.g.f.449.4', 'target_level': 560, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 4}
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id: 48932422
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 214, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18015017051881717, 'target_is_minimal': False, 'target_label': '245.4.j.e.214.4', 'target_level': 245, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '105.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48932423
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 79, 'target_dim': 20, 'target_embedding_index': 7, 'target_hecke_orbit_code': 22518616679252213, 'target_is_minimal': False, 'target_label': '245.4.j.f.79.7', 'target_level': 245, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '105.17', 'twisting_conrey_index': 17, 'weight': 4}
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id: 48932424
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 214, 'target_dim': 20, 'target_embedding_index': 7, 'target_hecke_orbit_code': 18015017051881717, 'target_is_minimal': False, 'target_label': '245.4.j.e.214.7', 'target_level': 245, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '105.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 48932425
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 79, 'target_dim': 20, 'target_embedding_index': 7, 'target_hecke_orbit_code': 18015017051881717, 'target_is_minimal': False, 'target_label': '245.4.j.e.79.7', 'target_level': 245, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '105.32', 'twisting_conrey_index': 32, 'weight': 4}
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id: 48932426
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 79, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518616679252213, 'target_is_minimal': False, 'target_label': '245.4.j.f.79.4', 'target_level': 245, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '105.38', 'twisting_conrey_index': 38, 'weight': 4}
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id: 48932427
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 214, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518616679252213, 'target_is_minimal': False, 'target_label': '245.4.j.f.214.4', 'target_level': 245, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '105.47', 'twisting_conrey_index': 47, 'weight': 4}
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id: 48932428
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 79, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18015017051881717, 'target_is_minimal': False, 'target_label': '245.4.j.e.79.4', 'target_level': 245, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '105.53', 'twisting_conrey_index': 53, 'weight': 4}
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id: 48932429
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 99, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13510867668697333, 'target_is_minimal': False, 'target_label': '245.4.b.d.99.4', 'target_level': 245, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '105.62', 'twisting_conrey_index': 62, 'weight': 4}
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id: 48932430
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 214, 'target_dim': 20, 'target_embedding_index': 7, 'target_hecke_orbit_code': 22518616679252213, 'target_is_minimal': False, 'target_label': '245.4.j.f.214.7', 'target_level': 245, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '105.68', 'twisting_conrey_index': 68, 'weight': 4}
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id: 48932431
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 99, 'target_dim': 10, 'target_embedding_index': 7, 'target_hecke_orbit_code': 13510867668697333, 'target_is_minimal': False, 'target_label': '245.4.b.d.99.7', 'target_level': 245, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '105.83', 'twisting_conrey_index': 83, 'weight': 4}
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id: 48932432
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 175640385534559783, 'source_is_minimal': False, 'source_label': '1575.4.a.bn.1.4', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 135107988888224969, 'target_is_minimal': False, 'target_label': '1225.4.a.be.1.4', 'target_level': 1225, 'twist_class_label': '35.4.b.a.29.4', 'twist_class_level': 35, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2051025
{'charpoly_factorization': [[[160, 54, -70, -21, 4, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 2}
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id: 2051026
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 175640385534559783, 'p': 3}
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id: 2051027
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 175640385534559783, 'p': 5}
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id: 2051028
{'charpoly_factorization': [[[-7, 1], 5]], 'hecke_orbit_code': 175640385534559783, 'p': 7}
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id: 2051029
{'charpoly_factorization': [[[-11139072, -2556120, -151744, -2271, 42, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 11}
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id: 2051030
{'charpoly_factorization': [[[-51332920, 12637182, 110628, -7833, -34, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 13}
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id: 2051031
{'charpoly_factorization': [[[-359983792, -13947116, 280000, 17661, 238, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 17}
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id: 2051032
{'charpoly_factorization': [[[-20133120, 25860480, -559016, -17350, 36, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 19}
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id: 2051033
{'charpoly_factorization': [[[8730849408, -89085840, -4958624, -26576, 152, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 23}
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id: 2051034
{'charpoly_factorization': [[[-126081243400, 3091734660, 5833934, -116015, -44, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 29}
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id: 2051035
{'charpoly_factorization': [[[-34433580800, 702456160, 2609376, -55252, -60, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 31}
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id: 2051036
{'charpoly_factorization': [[[43388412544, -1798149040, 19065088, -33656, -312, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 37}
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id: 2051037
{'charpoly_factorization': [[[-109849343072, 1393269808, 20801472, -49296, -426, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 41}
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id: 2051038
{'charpoly_factorization': [[[-49627325440, 1150153088, 10245312, -65464, -304, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 43}
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id: 2051039
{'charpoly_factorization': [[[-32437777344, 1348012344, -11149552, -55271, 370, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 47}
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id: 2051040
{'charpoly_factorization': [[[744413184, -2037401808, 1952, 218304, 976, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 53}
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id: 2051041
{'charpoly_factorization': [[[-5009454255200, 21489149320, 86786880, -326194, -432, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 59}
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id: 2051042
{'charpoly_factorization': [[[-650238065792, 19755334368, -112894860, -335946, 442, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 61}
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id: 2051043
{'charpoly_factorization': [[[15885557727232, 12807378944, -264826208, -330908, 804, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 67}
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id: 2051044
{'charpoly_factorization': [[[7767441797120, 17322075136, -137133520, -322148, 440, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 71}
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id: 2051045
{'charpoly_factorization': [[[-9409174483008, 10181835312, 303814144, -522880, -564, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 73}
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id: 2051046
{'charpoly_factorization': [[[201540544400, 3796827580, -140645456, 901605, -1790, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 79}
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id: 2051047
{'charpoly_factorization': [[[2803375323136, -37239922784, -71440368, 607322, 1656, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 83}
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id: 2051048
{'charpoly_factorization': [[[-68855772276480, -772186731840, -2230467656, -1791620, 746, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 89}
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id: 2051049
{'charpoly_factorization': [[[12547593502192, -145582253644, 551745096, -612787, -518, 1], 1]], 'hecke_orbit_code': 175640385534559783, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 40, 'label': '1575.4.a.bn', 'level': 1575, 'portrait': 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KwltHseJ+ch0B7aGC7dHNLpJZxbdJhouOzaHLN9Q5d6LUBIQxgKWr0qCy2PiZrAlS7n5j2OnBWcuBBzainGr/Z4441d3nYT+HKcgyebnJpTnM+Ye8FwZNFwwxUL/OsPrbB5fJwT5ye5sFhlfsVlcVWy0oppdWM6/YRWO2YprHPNtU190bbtn3Tdxod1ErV/6sc/9HJD4q/0+BsN8Ha7zeJqQtUXv3j67P5X/dFf/JF0zNyr/q/3nHd6nc3ML4+z3Kqw0nZYaTssd2A5BflyK+H8ChxdEszMrPLvvn+JV1xc4/TcJOfm65xbdJhbMlxYjDmzkDDfiRmfHPDqq7rcfCl4soqvfOaWK5xfdLiwLOgFEMeaiqepVxImxmI0cPJCTLsLOza41KsBxggQHt2+ZvvGgKVVB4yVIqtdCGIwGJZbIVtmXTp9hVAGoQOaFZftmwas9gQnzzkk2mGqKWlUBL4LcSzoBZILy5LzS4a5lRjfH4Ab88rLu7zqCsFMs8rSSpPTcz7nFmFuMWZuOebsMhxdMtxw+SI/9/0rbBxvcuqCBffCisdiS7LcSljtRKx2Elo9w3IHTqwI2p1Vfu0fh/HUxPgje/Z+4Lmkt/wTV1z7NqN1ouuNxssNlZd8/I0NMu/++hdoNpssLS3+wufuuPcff/yOff7TxxPqVcH3vFpy5fY2ceJiTRQfAxgcjFFgst+SIIXh2NI4/+6PBL/ww3NctzOkUZ2kXm3QrPk0ai7jTcXckuLCisPXH67wpQdjLt7W49JdMcsrfS7bFvDBt2iiWCEwfOGRCvOtCtUk4MR5Rbfb4Oo9CfPtmP0HXfZukxw+B6+8BFodCLWD74RM1+HQ2Sq1aoSvYsYagtUO3HRZh6NnfPbu0Bw/F/DCUfv73G0Djs4ZxhoBy+2QL369hhGKJEm47doet1xnuLDqct3uAbs3u8RRk16/yv5jFS4sChZWEuZXYuaWNaeWBXPdkGv3LvFvvq/LTHOCk+fHmVuqsrDqstQWrLQTWt2IVjeh1TUs9+BCV7LajbluT4eb9i47Y7XBrUuLn75Bu7e+YTDo//nk1NTPfOrTn+e9737Hyw2ZdR9/Ixn8Yx//FPtP++rWKwb/5uTJuf/fI08eVUfO9DmzqjjbNVy+fZ7/9OMLXLOrxoWlCZZbNZZbPittl+W2w0obVtpJaoXFLLbg9IrAqQ645Ypl3v/akJ2zdVa7TeaXqywseyy2BMstzVJLs9LRtPuadmDoDWKmmhHbN2hA4LuGM/MuQvrsmFXs3GzYPNtjbiXgmcMNrr/YUKuu8PyRSRr1kDB0mZrQ9Adw2fYBH797nEu2xQSBYXpMEiV9GhWfF04MqLp1rt0b8+yxkLkljy1TPjs3wfaNIUpFnFkEzzUIYdixIWaiIen0fbo9l3bPZbmtWF6FpZZmuZWw2Eq40IKlQcL2LV3ef9sit1zqUHGbnF9ssrhSYXHVYaktWG3pnLlXu4blLsx1JedXE268ZI5f/vASuzfXWVwZ59x8nbOLkyTOjqRan/qFD7zf/7l9D4fJK171/pcbOmsef6MAfujgIarVSvXMmTPb73/kmfd1WvM/P3fhAqtdw1JLs9gWnO9ITrcTrts1z698eJGrd9WYXx5nabXGSqfCSttNJQu0OprVTsxKJ2a5bZhrCc51DYgut9/a4q2v0OzaVCEMa6y0Kqx2PVodxUpX0OkJBoEhjA1JAkoafBeqvmG8aZidjHDcAUfPhzx3xEfHdd5yU4jjrvLE/jEu2gRffizm1it95lt9Ko4iTiImJyCOXBw3Zmmpxquva/Plhxvs3AT7Dge41HjzKzSx6PPc0YTjZyo40mPDhMNEXVD1BZ4nUAJiDWFkGITQ6RlWu5pOT7Pa0yx1Df0kYcfWHm+9ucXtrwpBN1haHWN+ucpSKyWDFlaOdOMc3Cs9uNBRzLcTrr94jl/+8AKX7agyvzTJ4mqdxdUK88suc0uaLZun2bF9w7+qjV/zZ5u3bD4VBoP+xXsvebmhlD/+xgC8u7Kf2vikd/zwyR98+rmjv3n3fU+JxeWu9D1BFBtaXc1qz7DSE8x1FWc7ETfumeeXf2SZ6/b4LK6Os7haZ6Xt0+p4rHQcVjuCVsfQ6iasdmJaXc1K1zDfEZxvaSbGe3zHDR1eeWnMjg2KZtWl3anguxJQhLFEa4E20BsAQjPRGHD4rEGbkLv21Ql6VfZs8bjlqh6RXuW+J8e59mKXwxe6tFaa3HxVj68/4bNh0rD/pOEn3tlm/wmfDZOSrz2puOUyxXKvzbHTk1y7N+S+5/rEQY1XXu6xe9uAftzlzicUJIKjZxyaNQdHQK8v0UaQaEMUA1LjeJpW11BvRGzbFPCqy3p8x/UxU/UKc8tjLK1WWWnbc7PSFrS60OrYgLLVTTV3T3KhI1jsJNx0yTw//6MLXHVRhYWVCVba9vyudjxaXYcgFHhuQphU9PSmq8yGzbv/wfTGi/+g214IX/WKvxkg/xsB8DiKZLvTf/tnP/+FPZfsCD/y2GPPuheWJP1AE4T26A2sbOj0YbUvmOspzq4mvPKyOX7xRxe5fpfLameMhZUGrW6F1Y7Hateh1VG0etDpGtq9mHY3odvXtHqGha5goQtREnD1xX02TiZ0e4bvvDngoo2aOJE40hBGcO8zFU7NV9g0EfP80QroGpduVVx3icav9HjicI+FxTpXXFSnOb7Cw8+63HhxhaXeKisrTTZuNDy2X/F9r+/y+H6HrbMui90WK8uTXHdZj4efT5isjnPFni7zrRaPvThO1alzwyWGvdsHILs8c1wwOxkxtxBx3zMug0ghJSTacNGmkO+4OaTTVWye0Fx3MYRhLZdvq12Xdk/R6kraXWj3EtrdhE4vod2z5LHcl5xtC1r9kFv2LvDvf2SZ6y+ucGFpnNVOjVbXp911aXcdugNFPxAEEbS6CefnB1x7/Y3RtZf4/+LmV333EcerfdFzlX65sfWyB5m9Xo/eYPD9zz//9K8dP35ssru4gO+5NGoSISRSJAgsi2oNoAGDEAlSKPYd3sC//F2Xd96yzAdev8zOLSEXlpr4XpWq71HzXepVh05V0ui7jNUdeoOEbj9hQ6DpB4bOwGd5ocKZ04Yw1py9EOP7BhB4yuBIQa+vELjEPYdrLhLs3mzYvqVHkHT4yuOKA0cmeNP1PtddtsLHvmLwRI2LtvR49mHFlnHFdLNHRVUJI5f5DtQrDls3CJ4+EHLd3iqvvXaRP7yjj+c2eONNBtfv8Y3HQr78aJ0Xj1fZtbnGRZsSZiZCdk5HXHlRglIaR9nwuub7zIz7hJFLp+fx/GGX7sCh11d0B5JuH7oDQ7dnP3unn9DtG9p9Q6sPCz3FhRVDbazFT37nAt/zypCrdtY5v9hktVOl3fPp9Fy6fUUvkPQD6yr1A8MgMBgjef65fW5NbP41t/Lk8jXXXv+P+/3eH1artf/3ArzX6yMQP7L/+Ud/8YnH7p10TIsodjHKWmKJFhTJVmPdEQECG2gpkeAryfNHpnnqUI3D5+Z556u6vOryAeONJsutGvV2hWbfo9tz6KQXuz9w6AUOg8AwCDVhZIgiQ5zYI4w9jAapBK4jqHiC8YZgogEbpzVbN/SYnmjx1Sfg/qdcpB7jTde7XHNphwdfjAgHTW65RtDq95lfqvPKvZrp8R5Vx2cQKxbaEUoLrtnrUGsEPHmwwmuuG+Pmqzs8eVCBGeP6yz1++G3LfP3pkK89Xmf/qQrbZxQbJ6tMNGqMNaDqg+sYlARtYP9xQZIIolgQxhBE2M8YJPQDzSCwK2Ev0HT70A5goStZ6MJAD3jDtcu8/VUtvveNhihqcGGxQbtXodPzaPccun2H7kDSG0h6A0rnT+M6AikUT794gWOn75rs9qP/eNtrX+0M+r3frbyMIH/ZAG7MAhD88LEDj/ziiUP3z9bdLvUZhTGgdebzCYQQCKEQQoCIkRKUtFlERxlcpak4gsVelU/cvZVvPNXm1itX+dAbVrlyZ5ep8RpLqzU6fZ9e302BrewRCoJIEsWCOLZLvUn/tJIGx4GKB7WqZrIRsWW2R0yXw2cjPnlfhWOn64z7VW683OGVV7V57FCLux5pctPFFbZv6vHxuwVK+DQbEavdAG1ACZhp9mh3PHRc5e23zvOJL9fYPVfhrTf1CKMl7ntuiiip8IrLZ3nrjW0u3tbiG0/2ePZ0jWeOe2ydlEw2BTVf4LkiBRcIYdKVzhDF6c0aGYLIAnEQQj+EzkCwEgiWOyCcAdfsXeVD37HKqy9PmG5UWWnVWe1U6fY9un3XAjsjh0DSD6AXGIJAMwgTwlATxQYdWX9/aXWJT/7FXbMXVvQvvva1t5pDp1q/t3f7y9NJ9H8c4J/77B/wqQc28M9/8YEf2Lvtwkdu3P7k9MbxmKpTI4gMUWwBpyKBFBIhBFIIK1ekg5IJSgqk1DhK4yqD5xgqjmBloFhuTfCpe+s8+nyXW65e5UNvXOXa3S2mkipx7NMbVOj2XfqBQxgpolgSJ5JEC7QRCAxSGHxPU6vE+F6I5wacXQq4Y5/kyBmP42cmUNpn9yaPy3Yqrr+0jfIXeO5ogy3jNa7YBRtnVlhuN7lyiyTWhq8+7hP0JOP1mDe/YsAX74s4daHBJXtczq8OeOGYy7YNE1y9c4EHn+3w8AuCIPS4dOckl27zuXRrh6PnlzlyFh4/UOPwsTo1R+A7krpvqLggpQ2qjLE3a5xAGEOYCLqBoD0QtCMIdYw2A264uM2HvqPNrVcmbJr06Q/GWGpV6PR8ugOPXt9q7V6qt3sDC27L3EkaHyV2BYxtsBsn9oY6eGaVI0t3zW6dOfKR264ai435k4/96Sd6fO8Hf+RvL8A/8I9/i3d8T8wgOve9J0+f+vXzp54d93cGNKcmcZSgF7gEoSKIFK6SOMqglEQpgZICRyn7WmmUSnAdgedqPNfgu4aalzBeEXQCl5X2BJ++v8ndzwzYMNHjfbe1uHTbgEG/yxU7Dds2KoLIJUkUiZaYDNxS4zoJJ+cMxy8IVvuazz9Y4+ziBCZ0magoNk857NjosGsLXLG7jZaLfPSLdZaXx7jpUocrdrf4xjMCEbvMTkjqtZhe5CGNBCNRjkdrIJhbFlxuatx2fYeHnqyyedrjpism+aG3LfIHX+7w+ME63YHL0mqDnZurXLKpxyv2dnjXazqcW17m8w/6LPV8Tp53OXvWw1UCKWUasxgSDZE2JLFmYiriqst7BEHEpdsC3nNbwOyYYrLhE0UVzi9U6PY9+oFLb+DQDzJgW73dDwSDAAYpqAeBJog0QWQII00YWcsyiKEXCuZ7ivPnFvnS109MHz1y6a9Pz2yOvveDN/2JCf49wv/Xf/sA/oXPfZq3v+Nd4kd++nfeu7Jy4Hfed9tTtXe8c0DYr9HqDBhrCJQyuI7CDR0CpXAchcpALiWOEjjKPruOwHU1npPgOZqKa6hGhlpoGKskTFQFvVDSCescP1Pnl/9kEnSMiGOuv6rHzo0hcQzaaIyxSRwpBFIJHNfj4CmP/Ucq1CsODU8yXRPMTElmJx02zyh2bEq4ZMcqiVjiNz7T5OSpcW7a63LpRQn9uMMjz/mMV12mxgzjjZBa1a5MWktaA8Vy17DUSmh1q7z6ilX27e9x4JRivFnhFZeP86NvX+K/fRaePFKn2zesdhzmlptsnK4xOzFgx9SAf/beHs1ai2ePw8HTEtc1KGUQwgbiGMvmcQwXbUy45cqYJHKJYh9jagxClwuLFtT9wGEQqly+9UPBIAX3IIQgLFg7DLUFelRIoCCymr8fCdqBoB0LVtoOv/4nHm+75bnxf/9Pzv7OyrlWLPx/9anP/MVV5vZ3vetvD8BN979C7ayaO/rfb7/+ouWP/dQd5yudtscVO3pcsn1AYlwQpOzp4Toa13FwQo2jVKq1DZ4jLWs7goGr8FxJ4Er8MCGIDNXIskoYGpoxlmFiCGPBIJIEiU+UVDhwpM4zByAxBgttq41dCV4a4DZ8uGITNKswVpdMNBRT4w6zk7B9Y8CmmVUis8xvfGaMo8fGuG6XYtdWye6tK9zzQszc0hjX75RMNDUVr48vfYwSxIlEGEOchKx0K8wtuVx3aZVr9nZ48MkKGyYEtUqD6/ZqfvL2JX79s5oXzjZY7WpWO4qFFYfp8ToTzSoTzTGatYiZesSO60J8N8Z1YpSyJQoABntTRZFifsEhihVRrAgju1KGkSIIJUEk07p5SRBa+28QCoLQWCkSWWAHkbbfS4EdRoZBBINIMIigE0lWQsHqQKMHAZfubPOj715kWq3U/uSzOz/24//qT/W/v2PmM+//559KPvkf3/vtD/B//pFP8iO/PKYu33rmPVduOfCHyytHKogaX314As/R/NyPtrh0awclNFJYXe04Lq7SOMrBVQZXKVzH2MOVeK7AiwSBKwg8RRhJglATRYYwLmvC9EisNkwSTaKtO6M1ObiFACXBkeC64DuCii+o+ZJ6TTFWk0yMCWYnY3Zs7NGor/KZh0Lue26S1cUmV21X7NjkcvG2AYlY5auP16i7DjMTikZtwHNHsR332wy9QHH1xRFX7TZcOJ+wsOLRH9R4y40dHni2z+GzinpV4ntNrtyl+bkfWOLeF/p88d5pltqGHbMJKy2H8aZirO7SqLnUq4aKr/E9je8kOMpKLSlTgjHYhJUWxFoSJ4I4FkSxJIwFUSQJIuu8hJEgjAxhCEGUpPKjII4gNvmzZW0L7H4kaEeSVizoDGKIuly3c5l/92NLvO2VMUstwfNH91Wq9fCP/usPbvq7t9zQ+PPf+Pu/m2zc/deryf/aAX7lpkT2BvMfeOCZ+d/6jf+5UGlHkwxwoGr4wkOKMHB59+vavPf1HSbGErr9GMfxcZ0E13Vx3QTPdXBDheco/MiydhBJAk+kF0SkASOEkbQOQlzYfnGiSRLrLiQmdUpSt0QIkTozAiddHXxPUvEl9aqgWTOMNzQbJgNmJjrEZpVPPSD5gy9PMVupcNV2wfZNLhdt1uzYtMJnHjEsL1e4dKNiogmNWsTcCcn8io+30wJiZkwyPg6HjxtW2poLixUuvqjC66/vcMf9FaYa4HseSo5z5W7Bj711HlfO84UHJ3jxbIUN7YjZ8ZixuqJRVdSqkqrv4Hvgu+A4xoJcgBQlkGNv7ERDkgjihBToECWGMIYoSiwpRKl9GmvCuNDYYVzIkUEsGESCbmQlSSc0DAYhY36H9795gffe1uWN10GrUwcj+Wcf6LPafqoSxzf8zgMPTTia+p9ieebbE+AP3vclkkT/wN0PPPernbmTzRm/DlqiqtCLYeC4fHWfxyMvVLmwsshP3N5hshlS9Wu0u3EqV1wCx8VzFIHrpEurJIxsKj2MBGFsQR6lrBTHECWQJNZJ0NoGXFqbrIczBbcFuFIi1fUWIBUfahVNoxoz3oiZGe8zPbHKQwdC/uiuKgePj3PRmMvujbB1o8fWDXDJ9ja9uM1j+5tUlcvMhGK8AeONgImxGM9zEMLeXP3AY7kdsdoztLox8yse2zc2uPnSee56vMfBs01qfoSrPIQYY/cWxd954yI3XDLPH93V4LHnx1nqOsw2Y8ZrMbWKpFpR+K7AdyWua2MVpUjtQ4tyg+1h1Zoc6HGi09UttRZjTZxowtQViWKTr4hW7kEQC4JI0IsEnVjQjqHfT9DxgKlqm3/w7iX+6Qd7VH2PVrvGIPIIQ48wchkMahw/u9SM5bnfqI5f7H36M1/4g3ff/t3ffgBfXW0hpPyRO7/yxV+8cP78VLUimW0aPCehEwjaoaAlFV1ZoxU4/Oqfuew/usLbX9PhtmvabJgOaHeq9AMPz/UIPQc/cggjC/IM4FEkCWO77GYWY5yQWn+kzC3RhgLcacLIMjc4yiZMPNdQ8TTVSkyjEjPRDNg03Wau1eM3P+/y1X2TLK/U2TMj2D4r2DLrsXVWsHPzAMdb5RP3ORw7XWfvBslEQzJWT5Ay4OyCwXckUoAxgjBy2DHb5nES26zRNswtV9m7tcK7bmvx59/wODHn4zoRQrhoUyeKJdfvXGHHB9t89ckeH//qJE+cqLNlQjBdT6hXEiqewHcFnmtjFUdhA2cp8poMg73JtME6LYkFfAbyOLGSzvroKcDTOCYDdz+BbiTpxtCLNHE3ZOt0m9dev8o7bu3ylhs0DnWWVyoEoU8QePQDj+7AY7XjE0QO88vnp3aNbf3I277ru1Wv1/7dWq357QPwlZUWjuP80L7HH/7FZ5/fP5tog6skFV8TG1MK6gy+lLSlTztw+MQ9Pvc+V+e6S9p88A193nrzKtPjPv2BTy/wiCKXMHYJIycPlOLYetlRkmlLSZIIEi0Kra0FuSoxlrmlIHVobLLIczW+l1D1YxrVgOnxLv2ozzeeM3zynjEee36cCc/lyi2GTZOSDVMem2ckWzeE7NqywrMn+nz+gRnGlMPMmKBZFzRrEa1ewpcfqdDwDEJYYPUDh7ffEvClR21NTKurmV9x2Drb4J2v6vLYgQ77D3vU/RglhQW5rjEIrdb/O69vsXfTPJ+4t83DL45zaqXKxqZgrGKoeZqKo/FccJRASXsjWyaHrPxIp1JN62KFi1OgW4KAKBFESQrsRDCIBb1Y0E2wMU8YUq/2eP+blvnAGztcvzdhdsKh329YIIc+g9AlCF36gZvmH5QNtAWcOHZo9pFHHvnFW255le52279fr3/rQf4tBfjxM6tctKWLifn+p558+Fee3HffVL/XQkqrcz1HUHHTTGXKoI7U1rmQiq5X50zb59yjNR59rsefX9XmPa/v8eZbBkyNewSBnwLcJYrc3BGIE0UcS2ItSZIC4NqkzK2LmjIhTBpU2joOx9F4boLvRVT9kEa1T0Kfrz8p+ZO7x3n++Bgi8rlowrBp3DA9rpiZ9Ng4Ldk8E7F9Y5vTCx3+xxfrxEGVrVsF4w2HZh2atQjhhrT7dcYbBiEExkAUSyZ9RaxjOpFHp5ew0lacXahy+a4GH/7uVT7ypz4nF+o4KkpvDIc4rjAIJRunfK7f0+aqXV1eOHmWT95T5a4nxjnXqlL3FQ0P6q5NgLkKHGnT+UIMV9dpwGh70yVakBiIE2H980QQJjZJ1E8sa/cTQxzF6ChkqtLjLW9Y5X1v6HDrlTFjFYcwrrO86hNGHkFor1MQugxC66sPQmsI2BIMycLiCnfedc9sf2B+5fobboz3PX3uf95wjYcQ37oO/m8pwHu9PsdON97x1LMP/be5E19s+hKUrAAGKYW1+xzwtU2qCARSGBwJnjRUYkFHevRjh/mgwhcerXHf8z1e8bUu//DdHS7b3mZ2XNGsOYSRRxi7xLGTg9yCW5JoiTYSY6wkMHlACVJolDKpWxPjezGuCmn3IxbaEf/lMxWOz0/w5P5xjPaYqgpmpw3TY4KppmJq3GXDlGTjVMyWmR5T4yt89SnNEy+Oc9VWwURD0qhJmjVNvRoi3ADfd3CU/fvGQJJI+oFDfxARa0Gnr+l0DcttlwtLTV55SZebL1/lE1+rUF1WODKygDQOceIRRpJ+4DI9XuGG3V1u2NPl8dee4+SC5I/uGmd+tcaZJR9PSequwMtkmLSBZ07kmVTBMnlsBLGGSAuCBAYxhNpAEkMcIVXA5ok+V+2w1+PGyxKaVYc4rtPq+gShRxg5BJFLFDsEoZMn7oLQsWURiUiL5gxKKY6dXaR372emdl7U/283XHPrShx1P/+txOS3DOAvHjjEZRdvVP/lNz++5+7HDjSfO9Lmul01No3HxIm2rKkEnmO1sEDYgqnMnpPgKag6ml4s6Lk+/dhlKaxx1xNjPPRin7of8He/s8W2qZgdm/u88ooOjlA0ag5CWLlis5K2VtqYEnNjENIWaAWRwRCDjHnhuGTfAYc7HmvwwqkGYVyj4ShmqobJumGiZqwP3nSYHHOYGhdsnIzZPNNn08wK9z0f8NE7Ztk07jDThGZd0awLGrWYqh/w0CHFIHRw6xZUxgjCWFJxFNfu7fPoc+O28KmfsNp2WVz1mVuc4MNvnePM4hKPPj2DKwERoYE4dlJmlHT7DhONCuPNOjfv7fHaq3p88HULHDit+dJjFR47UOXQsTqxcAgCRS9SqLT8YTjwTHMCRhNrg9EaVySMeSEVIm6+rsvOTQO2Tkd86M0BVU9RrziEUY1WxwaPUWzjozh2CCKVfm0ZOzMGosiursaA48B4Q/C2V8dcetEF2mfvbz6z2t5zzc0fVGdOHUm2bt/zNwfgL7zwAlMTE94TT+z7wXol+VX6y+ydrUEi6Q0SlLJBjpL2g+Vp8TzQMzZLmRi82OArQS0RBA70Eyc9KnQ6Cb/yiQlMHLFhZsDl2wdMjcW85/V9ts+GRJFI9baEEnOT6k8pNUIKPn1vlWeP1hGOw8lzNc7O1ahUFWO+YLxuaFY0zQo0qoKxmqLZUEw0HKbGYXo8ZsPUgC2zbRKzyqcfaNLv1rl4q6FZUzRqkkZV06jEuG7IVx+tEPQk7izIFExRLKlXFW95RZ/7n9J0A0m3n9DuOax2HC4s1bhsZ4P33NrmyRdqnFxuoKQGolQvu0SJBc0glHQHDq2uR6Nao14NuGzrgJsuGXB6vsWJ86s4bsIzxxz+/J4aQmWFa3L4IhoNaDCGKEzYsSHmfa/vM91MuGSHYcMUJLFLEDaIY5eVdrF6RrFDlKhcMkaxyoP//Dk9ksTGQ0qCV9UIUeP03HaCaMDEBv2rzzz9RG/Xzh1/cPTIi+HuPf/74ym+JQA/cfI05y8s7J27cPY3D774lNw4bT9gxtqiZFVZvJlcl8vYakQnMbgJRErgJ4aKNkSJoJEYwkQQaEGQuATaJdaw0G1yz7MaQ8LnHosQIrEXydiLBKlZYv94WpEokUoRRw5SO7iOpOHDzhlD3dXUfE3Nh5ovqFcljaqVQ2MNyUQTpsZiZiYCNs90SFjhv/xFhQefm2X3FEzUUvauSRrVmFo1pF7rU63W8JVEyVSDY+VAFLkM+oJ+kNAJFN2BptPXtmWu7nFmboxXXx7wk++d49f+3OHUqo8QGmMidGKIYpcwkgwCW6Pd6DvUKx61aoWaX6PiRzSqIddfHOK5ETdeHPOhN/RwVJwmgTRCmGFRnko6rW0tvu8qwGMQOCytOLZuJ8liHvts5aHM46AokfY5dbTKz9bpsjo/k4/LbYeVjkMQCJ45+KS86SbnN03Sf6A/GDz/rcDm/zbAn3r0U8xO6+rTzx+8/fDBE8L3FeNSEUYarW35JtjAMvNkpTDpYe/kOAEnzTa6aRWcjejtkWhDrAWxNkSpRoy1JDKSRDtE2idJba/yI89SCnCEsFJIQaVqqDiGikrwXfAdqHiGqi+oepJaVVKrOBbgdcF4QzPZjJkaD5id7LJ5domP3qH5+F0b2DaumG5omnVFo6ao16BWTWhUI84vaY6e96l4dpWCrNJPMAgddm7UbJwe0B549AcmZXHJasehUa3QqI3zoTfMc+z8BX7n81twpINBk+jEnovYatx+aIuiehVJbeBQ9V2qfkKrY2MMz03SxFmCI22jhJQ2nS/Sw5auCEs/xq6ELZ1WWWob19j4poh14tJzlIj8dRxb9yVOslJkYcGdkBoAVvubGIyxdm4YQhTDk089K46f795en9xx9Lf+8NP9v/d33/3yAnzjtPIG/fmfrqkzPz0zNpCdvqIXQBDK3FvNMog6MUhpiFPrSimBig2OypIO1reOU5AnqX1lD5On2ZMsWWFAG5EHSmXNDaSZPHsjOVLj5DXk4CqB6xjrGzuCii+peJKqr6hWFI2qpFEzjNUTxhsxk82A6Yke2zcs8dihgE/cu5mJis+GhqZZExbcVUm9oqlXYhq1gMcOwjMHauyZManuLdLm/UBx4yWGi7f3efz5cXqBoT9I6PadFOQutUqVamWc979mmWcOzfPo/o1gFFon9qaPDXFk8nqSfuBQGxiqFUXF0/iei+8l+I7GcRJcx5ZCKKXtFizSEg3CICj0XBGci/T8ZiC3DRVaS+I09Z+k9myirUWbv04txiQFd0FWKcATSIy93lFi610Ggeb8YkseXTj7b3btrHnNRv0XgPBlA/i5xZ7Uce9nl8795j+uymPezOQkQlp9J4XNMGYgV9qQSPuspCGWFvhKph86SYGenwSTZ9usjWVBro1JrT/y5E0p8z604map6iyhY0tuhQW4I9JyW5v98z1FxVdUfUGtKmhUDc1awlg9ZrwRMDXWZ/PMCo8e7POzf7iBU2fG2TWtGa9Bs6qoVxX1CtQrCdVKhOcOaA0MSipcZSVZ9rAAkESxR7Ma0Yt13v7VGyR0epJWVVHr+FT8BhdtjPi5H2zxbz8meWT/BgwKbTRJoomTOE2lWxuu70uqgaLiSXzP4HsK39G4rknre0xabmwBrlKZIoRZ06Cr0zhG64LVk+xZC3SebyBl+NRmTASxFsXXOvs+BWElRc16FGuCwLbRrbQ1hw6e9vyG/y9+5cd/wP0nP976V0KM/S+n8/+XAT7oddA6/oXf++z9/9c9D56o/NB3BUw0Q9o9B981aC3SwE6gpUgZ2B5S2gRLog0qY/gU5EPAzlg6TUbkbJ2WgWYHIwBPZXf6961EUVKglLXL8nJbR+J7Es9VVHw7kqHqG+oVTaOW0KxFjDVCJpt9Ns+s8uiBHv/2D6Y5eGqSHZPWYWlUJfWatOxdNdQqCbVKRJSE/PHXGkilcKVBicIm1EakutXl77xphTufCOmEPr0U4N2+otNVtHyHiufju00u2Rbz8z+8xL/+A8HDz29AG0mibVo9im2hWRBqgootd/V9QcUV+J7NbHqOyTO2jtJIZclFCoPInssMkUnL/DxbkFvCEWnxVlG4liXWkhJLJ+uCurQap3VCNltqP8NyTzA1G/PGq56qnD228//euOOtYmW1+y8nxuv/ZwH+4qGjGK1vPnvs6erigseR0wP2bLIfSqRuCSnYEgkyEahUXiTKyhWtIVEZqIsjyQGdPuuCTQz266xF04y8rwzgdiGx80Nkib0dJ6s7kbiutPUbnqDi25knNT+hXrXgbtZDxpt9ZsZbPHagx8/+/iQvnJxm64Rgql6SJhWHesXWr1QrMVU/xHUDzi5N4CqBkjoNsosgM0kkcazYNGGI44h2VEkbeDX9QUJnIKn2FBXPxXMruM4Yl26N+fkfWuBnfg8efXGWREsLkMQQxUnK5JrA11RCycBTuQRzXXAdK9FsnYrNP0hpUiIweWHWCMYtuMlWzaIBPAd8+v0kwTJ8SX5kP88YWxsK2art6p6VCygFnqPZtS2hoRrcd/+L1de/8eKb/3dmlP8vAfyFp7/M3l1B7af+w51ePGhz2bYqZ89XMZGD4wgwaVDlWBZX2oK8uOMFWpr0JJgczCb90DrV2LYwqKidsHJEWKPkJd6bFEURlZR2BcnAraSdtV3IE6i44HuaasVQ9a1+rlUjmrWQ8Xqf6YkWTxwe8K9/d4LnTs6weVwxU9eMVQWNiqRWUdSqgmrF3hw21R/y6H5Bd+BRUaTpcnsusiaERAui2KFeUbzyig6PvdCkF1mZ0g8Sen1Fx1f4nsJzvVQ/j3PZNs0v/eg8P/Xb8PD+WSItibROm6VLDQiexPe0Ze+0NsVNb257kMqUQsbJNMu7PsjTIz3/GbMnaaZYa/s6K+TKqxYzssrAPURkKckldvVwHcHuzS6bx6c5eEphTI/nnrzD6/lvrv3pp77U++B7v+uvH+Bz508xNbN1/LGH/uJ/7NoUv+bcBYGULr5ro+SMEWxq2LKCSdPAuiQ78joRZVnd5D8rAT6rl0ifjTE5c5Nq7/xiCOu1C5k5NSIHtwW4DWpdxzKZ54LnaipeWmDlJ1RTedGoBow1+kw02jx9JOBf/+4Ez5yYZeO4w0xNM1aFekVQrypqVUUtZ++Eih/TqA247xmP1VaFiYkiTZ4BRqfBWpQoZqcUb7imy337tO2iCXUJ5JKKK6m4Dq7j4ThVpNRcts3wiz86z0/9tuHhg7NE2iHKKgATkzO5H8m8utBzJE7aMOJIgXKyc0P+/vKbkCytb3KoZwmh0UOXnvWQrDRD1zNJKzmHrnFe4Wl/vxQCVwl6A4slTMLq/vg1e/ae/L0Pft+7f/zm46dWd+/c/tcL8OMnz3H67MJPPffi6Q+srLRo1h2EsPZbXoMsbeBitEBLC0xliiVurb4ua2uRs/cQc+cMUqIUCn89q7OwerKo8VaqqBh0FLY+wzG4rm0srniaipdQrcTUKhH1SkCjNmByrMWThwJ++renefrYBmbHXWZrCWM1k4I7Ze+KpOpb9q/4MTU/JNYBndBHKImbMXiuwUV6g6d+ceRS9wa2XCCsMJGBfJDQ8yyD+57EdRxcJ9uA1nDlRYaP/Pgc//y3NA8f2ECkHYJEECY6ZXFBJdL4rrENIo5OVy/b8qfSFc2eH5FLOlmKX+xUg6HTnReslcGdk1CJmAqQF6tz/r3S19m1JZWVcQK9QYITWVkXt5doLZ/+wKEDzxwNo+hn/loZ3MTHQG3a8Ycf++Orzpydo+oqPNfKEZUW9ci0BtkAQpnhk6BFLj90Hp3bZWyUDbIaktF6ksLqNgVrl4PKbLlNSwBUGkw5jm17c9MipKx6sOImqW6OqFYCJpo9xuodHt0f8y8/Os1TxzYwM+YwU00YqxgaKbirFWsnZuCu+gkVL6ZZD9l/wnDvk3U8KXGV7awp68jMFYoSRawdbrs+Ys+uLkdPVZmpwSA09ggSeoOUhR2F47j2XEvrXV+xA37pxxb5md/WPPDCDIOoSpBIwthQi61k8V0syJ1s9dJ5b6tUSb7CKSlKABclkLNGrxQgLxHP0Go7CuoC9KZ0/bP69Oz3SpFJm4RY2gZqRylWluZ45pknrrruNX93x77nT5+88cq/+t6ef2WAHzl+nlNz4xe1Fp74z1XVekfdC6j4CtfVebCS+c5pPJVrNkpL2BCQcy+7YPcyU486JaVzTFbhvAbcwt5kKi0BsGUAJm958xyN62p8V+N7MRUvpuKH1CoBk2M9Vjo97n8efulPNvLskWmmU3CPVw2NqqBeEblXbp0XbdnbswCv+gFhkjDoV6goe5PJDDD54lPykGPHanknIAgN/UiUAK7xvLSjybUXW0k3BzgCrt4p+KUfX+FX/jTm4QNTnGs1GdQl44mhERsq6cQB3zWp9585KSZn70yqZADP32/6pss4N+XrYEzpWplhNh9i9hLb6xLpZQDPfn92HWOLJyUNriM4O9dFVlbfsX3nvuSWm6/6v3utCydqYxu/tQDvtU7j+4s3HT167Pazp08wPe6hnCRdMrM3t9Zq0iWAG1MOUETpRKSyBLMuwIvHUDoivwg29Z/1Vpq8vsVWDVrmdhyN62i8vDzWgtv3UnBPdllY6fOLf1zj84/MsNidYGZMMlNJwV2xuruWBpZVX1LzTcrgVntX/BAIuftpj5XIY8pnqB47v+lN5jrY5oem7/D663o8ejCkE/mMpY29g1DjBbZW3XNk3oCtpIuQNkGDgUu3SX7tH7b50qN9fuH3N3BmcYL+uMO4J2jEmloMfmRHL3vKDjRys0BTijwIzp7LgXp+Y4oC4DnQS9cJyqt1GeDf5GtGrq8pypnzbqtUah4+dJgdW2ZvH6vX/rjf75/4ljK4jjsIVb946ew9/2jCeYIdmw1KRfZDG8gSiAVDFc9mKDNm8ou73uv83438jlH+HgqEsrR/6gLItPbZ2mAW2I7Saad+gucmeG5MxYvwvYhGtY/j9LjvmYTf+3KTOx6cJdRNZpuC6YqVJdYCzHxylR4iZe4ye0c4TsBDL47TCx021Ux6w40yeBpoakkUKyqu4ubL+sTaArwfCQaZG5Jm+FwnszhVCkSTlhzbczw9LvjA67o0/HP8/pf73P/iFBeiKr2KpBkb6o6xIHfSOESZNC4xKchTYkjjl6weS1Kw+KhbVwY5mHVX3uFYauQoX+fyf8TQN9I6esPHv/gs/uTuf/S+t7/qqZVW//DEWPV/H+AnTpzi53/nTjx/cvO099Rrr99wkL07Zmj3/LzJwKRBor14In/zpGAd1tTD2rrQYiJvBi4+uBj2A3NgmxFpYnKJpKROAZ516KfgVrYWw3cjPC+i4obUagM8r8ef3OXwy/9zlqMLk7h+hY0NwaSf0PQNdR/qaYd91bfZzkqaELL1K0m6Elh5sthO6IYenlJ40uQBZvbe7flIA820XiOMXarugI3jfVZ7DfqRSMet2VjBdZPU5lOp3alyt6oIXG3l4ztu7XLj5Qv80h8N+PhXZ1iO6/R8l7oraTq2Bsd3bGly1gzhZEkfSX5DZlngbFUe0uTrPIprXgI564A6HdUxZBqsA/jshoi1dVRW+g4DcwFPP/RaevObTWv58MLcWWY2bPnfA3gUJ/yTD9520RfvP/jRX/roEf7hOyLe9epFzi+NMwhcwlihE5X720MgTtm7ALgofZCy3i5eZ7UQL/XIT3jJhiyY26RzC0vMrRILcjfGc6wk8b0A3+1zYi7md75U57MPTHFsboJmzWWyAhN+QsM3aeo9A7dMwS3zpFAl1d6+Z2+cZj3gMw85HD5ZpaKEzRhmDgoFyouA2+rwKHa4dAe87cYOv/eVKbo1h2ZkGEQGP0zjBqVxnHTKl6IEcreEMrsqbJ+W/Mvv63HVzjP89h2THLswxnJcpec61JWglgLdSzWum7pMBYsXpcxC2DJfUbYQR8E98iJLyK0L8tLXeuSmKEwGkXvoYSJoh5LzKwnvvHWF3ZP7WFq56aOm8sbvJFn5S6XKNwX4IAjwPY+v3vPE1gce37/72cMxn324yeuuWWZmXLHcruJGbtpNI/IRaDaYlCmri/xNZ+WYGYsVjD0M6tGiqQzYUJYlZXmSAVynrknG3gmuim3njhvj+wGeE9BJQn7zUx6//6WNnF0aR6sqk2OKSc8w5mlqKXPX8vS9TOtUUmmSeuc5uD2bvQyikMNnfLqhz4Sfujh5BSV5oqec7IkTSRQ5NOsOO7eGKH9AJ2zQ9wTVyBBkAHeSNFGjrI8tsxLg9YJXxcxYjw+/o8ftt13g97/U5nc+PcViv07fqVBxFDVHUFUGPzaWzaWVKo4syhsK42CYyWF9Nh++hsNJIl0GfyZNGQZ9niNJz02YQDeWLHZhdmKVd72mz0wjpr387O76VHXrzOZXnNBJhFQuL/X4pgA/f2GBsWZ9ZqLufOrE/qfdHRMODz3f4P7nVnn3a3rUIolSmjh2bLOvLjppdM7YYq08Keny4ZMhSpquxBblk5tWvpVdmwLcdmahkhbcjkrw3IiKF+K5Ia1ByEPPSv7kriaffmCKQdLA8zymPMG4p6l7hppvqHkFuCu+xPclfipNbGIodSZSgHuuzXweP2+4/4kaYeTi182aADN7ZBZpVooaRgrXdXjDjR0+8fUuB8/U6VfsaIbANXgxuJHGDXU6xk6kMkIWw30ygGceu5bUfIcN433++ft7XLY94ON3Ndi3f4yFfp2B8nBdh4ojqErwZWqjZvaqNDafIBg6GAX6SzB5Ae6i4fubsXgu29KMaJQIBomgFQsGccCrr2nxyssNy+0pDp8+4t7w6td9qt9rXxMG3YX/ZQa/aHtVnj195Kbnnn54bM8WQQwcmhsgRGI7MtwQyBhT5RdMm0yXl4BdDjYzli7ZiGtUSRqu2xOZndRSYZDQJfbWqR2YWICrJJcjjhPR6kY8+LzgD7/S5K4nx1huNZDVCo2qYtw1ND1NzTXUPEPVI2Vty9xVX1LxFBVPUPFIK/R0Cm5tVwYvRjkBh87A2VbFJlayvIAY1q/ZxbZ9kGlpqZaEocOGpuDibX2eOxXTi1yCdMa3F5JO+EpSiZIlakCOdOZkN09mQ0aJrQ9/3xv6vPkVK3zjqQ4f+2qTffubLHVqtKRH13PwlMCTAl9iezilwREmLVSjZAGLNQAvs/lw4DlqOLAm5sr0ePa+I2N7AQZa0NeCINagIwSa9sBw6LjPi0cFS4P7x/ZcdutNUxv3fIVvMjzomwL82Ik5Pwzi39o8cbC+6eaYW6MeE+OL3HRZAMLDcSIQBpVokkTlhfFay/RNyxJjZ5KkBPDy8yhrZ69TaVIuzhdDwNbpc4KSCV7mZsiIhU7MfU84fPnBBp+/f4z5dh1RqeA2XJoOjLm2k6fqksoOqHoiPWRacprqbk/gZ+ydAdyJ8byYihdiTMTdT/qcPF9lelLgSp3qWFE0+pYZThdlp0mi6AcuOzYI3nBdj88+EtKNXPqRoOLaNj4vhiAypVVK5X41Qg7JFHvIolFBW7+96ge873V9vuPGJT73QIcvPVjjvmcbzLdq9IVH33NwXIUjBK4UuFLipk3hShjrsFCSiOnFEutct7JfPsTcOdiL7HVW1x8bCA2EWhBpiLUFNyR89r46p+bqjPsOg17M5InD9Z+5/obfajgnLwP6/0sA/9oDR+kP2pw7fYF/+t4OSkKjmqQgTnBVhBSaRCZo6ZCkJzWrHx5t/l2XvddhbXuySpZgBur82QJbpAB3nATPiahUIgZBwsGzcOKc4pNfG+Mr+5rMr9TBreA0XWpK0nANDUdTdQ1VFyquBXfFtTMJbZmpLB0i/blJQa5zkHuubU87ek7z3HEfXDdd5gsHRYxYELnmNFlJqSBO7DjnK3cGXL61y4GzNfoVQS0W+JEhUKTWns7HSdtAM7MgC61SBGoivVYq7Z90GYQu1WrAD7wl4O2vXOXOJ7r82ddrnDhX4cDZGuGqT+w7DBwHmU71VYAjpdXlFEGoEqV8RAnkI9Z2mg8ZATbpeyTV3Plh0FqDSUDHFuAiph87PPB0lYqvcFSfn7z9AjI4QLDyzWepvCTAz5w/I6Jw8I/uuet/Tp+IIg6cWeWGizVGavyKRseCOExsC5N20CpGa5VKlALguR5H5Oxdfl7vYVnb5AEllFg7HdKpZILv20mqcZJwYQm+do/D0TNV7n2sytmVKkfP1cH3UTWHiqOoO4a6o62L4Bp8xw6O911SEGeHTA+VApxUc6fgdhN817K3vbFCji/A/hM1XDlsD+YShaIePNeemZOis55Gl8t39Ll4tsfzx2J6sUsjss3XXjoTUJUALqVASDnE5FBiRV2SQVnfZKKIEpfA9WhWQ/7OmwJuvarN2ZU2dz/ucey0z51P1ji3VCHpu2jpEHkKIaVdKdJmFkGa8UQMfb7Rx5B1mN3YQ8xu0LlPmPXUpuA2sW39iTTEBuF1CZMu11zcpVGVfObOY9M//P0f/EdzF05+ZMPGHet6by8J8N/60/tJkvgD+/adqrf6Lnft28AV23u89voel++M2TyZsOeiENcIkkjZITvpMHkrTWSxXKYShRzow0Hl6PotcmbIjqzFyupr10+IEsOx04Lnjim+9liN5497vHi8SjuwE5VwPVTTtR36CmqOplrygX0nq9PIymZtXbifyhLPU3ieTG8AU2hvN0mH7ludX/EijA6ZW5YExsdxJJ40OCWbbdRDzkCemOF+xzB2ETjMTIZINaAbufQcYZ2OqCgYc5QeykDKrDYCIBt2hMBoWTB5qYfSTVQ+fqIXeGycCNm+IeL6XQH9sM/fPd7i+RMeX3u0wnPHKxw7VSGKFfgKIxVaSIayQZkFOpTGtq+FNQxLaC8tM+jSc3ropHiONA4Ju3eGbJlMuHRnxG3XB1y23bDaqRAEz9ZFf+MHwsD5yP8jBn/+6a9xYaGjPnfn86K9UuH4YpXz7YRnD7e589EqY27M9q0xV14a8qYbA15/bQhG4zox1XomQSRoQRzJIZBnTD60lonig2cOiVJ2jomQmig09AYW+CfOSP70Lp9epHj6xQpHTvssdj2CxAPHA+WimgpPCqoKaspQUdhxZiotPFKWtT1X2KRHGdyuxEtlie+B75G6JjZl7joaz43TjGhEtRIyv5LwtYcbtDo+E2MCJ/XiZQkHa5gtJaw8INSSIFBMTyne/MoBd+7rc6pVp+9KK1MccGODG2Wedeqxy8TahZRnncj8b2jjlP6GBbqXKBJHEbuKKHGIIje1UiPqXsStV8bcfFnAO1874NBpyTP7Xfqh4uNfq3H8ggtC0us7JKHKyjcxTnYXlwOObKUuZyezbhXLciLWCG0wJgFjqNZtQk4YzeuvC3jTjQFXXBKyY2vMmANTNYfeoMnc0gRn5ps8/eyCSLwr1F987s74Xd/z5r86g2+cafzmlTuiq0XgE+9PWBxoQuOw0PVZ0C7Hlw0PP6f51NcSZiZjjDZctzfkfW8c2O6NGGbGE669MqBuh1shzEusYfmdb8Hd6gmeedZlqW2r9h7b7/LFByoMIsUgUpy/4KGFQ2RctHDBcRC+gyMlnhJUpaGiDL4CXxn8dKKW56Ser1Mwt5f1ZebgVmmPpsjZ23M1npcVaCU5e3tehFIh9zyl+OwjDZTnWLttSH+/NINnXniSZI6HYjBwefstfT7/UJuP3z1GN65QT3W4m+nwKEvKmLxbSAiZA8z+KVnS+iWA67Tz3bFM7jqK2HFw4sQCXSUoZQfpT1Ribrkk5pWXRBgR8J7X9RhENvnyhQd8Ht/vUfUFi23FM897tHvS9uQOs9Y6F9wWYNUrmmuvCZkeT0gSjU4M73vjgGsvjjAaZiY0kxMGBxvH6DROCSLF2YUmDzw1xkovuPqWVzV+U8CH/0oMvtpepNaYah588rOXzE701auuibnhqiX+/IEen7m3btGB1XiBMcy1DHOrdpk5dMrwxXvsABmTGMYmEm66OqJRsSMkvmmKMr3zpRSsdhX7nvNotxTSkQRaEhjHMpNwbG+TdBDSQUqJKwUVZb1cX2o8CZ5KwayKGX0W5KJoeHBsI0DWeFwGt2X4tKzWzRg8KR0xvhNhTMjZRY8wqOCPSbw07a3SqryhLGbW0UORXi9AbkcyhJHLREOxbTrEEwP6sU8/FlQdOwQzqyHJElpKlstbZf637N/IEm+6yJ5qnSflMmkUx0maFFNpiUNMFCeoyI6ZcFSCVDFbp3W6Ymgu2z4gNH2ko2m1BPuec1ntWdk0zOLrg1ynAL/56oixcYNJZ6VUlcBJVyFtHEwsCHUhwXwv4vMPBfzZNwRRN6RRk2ql3bvkhz70Pc3uYKVdr0x8c4B32sv0uu2PLC499brtG04xXoeJ5gJPH9YQV8HzQKg1bxhjiDG0srVXGtqrhvP3ZMD+y8Bd3PlGSHQ20430WagiyJESJezMPV/alLMnTTr+zaTzTwrGy8DtOraj3m69Rw5u29Zlt0TxPTtezi+VmWZA9xy7J5DrxLhuhO9HnF7U/NGddXA8XCmKADOXJ2INg5frNbIhoRZsdrBOGLl86M19PndfnxfnGnQTl1psN6W1VYCm6MRJ9+TJ/xYUUiGP3WSpwCs7dF4L4zgKN0mIlM2Y2oIua0fmFqxKcvfKDg5KcIRBmITpmuG7Xq1BaHtrpcaAfX6pyDONyRLXxpNGYhDEkSDSknyQRbrq25hMI6oxx+fgrn3QrAjqlS6bd+9/3dnz134kiuO//5cy+PyJO0FIz9Hn2LpxBccJufvphM8+OGEnwys/Bdt6b3o0eDAk7ihzZ2Avp/fK+i17tsGLkMVWgo4AV9i0siesFLBzDU0+39BJGS4vJHIozUEh3+Mn66ovAC5z2eJ7Jm9p8zxdGpwTpztOWPdEypCTFwQL7QrCcfAlQ/JElj5O+imH3YTSWIYiEFSEsctUM2DHxj4HLgT0E4dBAn4icBODG6c6PCZ3looUuhomi/SU20m7WUO3KEkjjZNoEiVRTrZ9ecbk2ZCgMrC13W5G6jzZJoQeylEg0ihAFG64GH2VJ/nKeZFS5js/Y8X/JaUm6Btuv3XA/c/N8Y0nZlnou7ywf4Hf/fjXvGJ/1W8C8C0TTyKE4EJ0nv1nBtz5qM+f3D3NsfNNRMVHZAmGoT8/bOST90uaErZLKa2cZQrFSLqUi9yCSsc9CGyyQVhnwpEmr/HIXufPaYOBk5eCkjfYekpYsA+BW9pnLwN6FnySb0/opU0SmURxHatPPS8iJuJLD1WZW6jijim8cg1H2UEZ5bGSBi9GMBRJn0FgJ9i+9VVdHnp2QDuu0HMcqrEmTNPpWR2+HMoyaorOoSzQLArerHWYzlQxkCj7Nx0tiJXASWS6i50te8iAPpxQM/nYNyl0WvCVfW2GLd6s9PWlHuWyjRzsWV1SOVeS2cSaOFFsnw34jz+2wifv7nPHw03OzE/yyXtOsJ5KGAL4r/7hnfzxvvqru0ufu/H+fR1OzU9w+EQNoxwqDWnHnwlr9JfvrXIKNrOosklTBehH/nLpwmcgkGkiwcmmUZF25qQnTwmRVgxms05MXjfhSJGPQigDO5+DorD9iOsBPAs4M93tZLLEpHp7uJbccyM8N+RCS/PkkSo4Hk4qT5xSgVKW7RMjCLcX0YwUGRW6OE4UUeRy3Z6AqfE+rZUavVhRU+DG9rOoxM6UUVEZ4Fiw5X+onElOr4c2ls21QCtNogWuFiRKkihNogRxCvK4VLxWBnc2EUsKjZBmKMucT8oSJQ4Wa4Fn31+xwpSBPfqcQyYFeRD6zI7H/N/vjvjOV3Q4vRjQDps3/uD73vzqbufPH2xseM/6AK/LCN/tftd9zzavffbFMRAemyfKy0w592hSAJuRGoPRlGxRbzKE78zrplSSKQqQi7QOIp9MlYFcFrURGdgzkNu+0KxTxcoSlXevFMDOmm8te6ea2yHX25klaBm7ALeb6m/HiRBE3PGAz0PPN5C+gyeFnb+dVxAWn6fI9I1mM8uj0TJPXJFoRX/g8sor+rzt1g6/c0eDMPHpJpJKYvfKcWRRrZjLFClTNi3/qZdictCOTEc3CBKlLYtn4FYCR0qkMiXbswTyoZKJUs4CM1SUhTAjn3r4Rh9lcko3Y/6+Gd6CRQDtnr1BZseg6Sdop3btufN8l9bug+sy+PzceRr1+pu/9o17vm/GXeXa7ZJemDAI0w2dyhm4vGhquOa3SMdSWl6yt7We9W2G2Dtnc5FJlNFlmCGQ50X6gpTBycdDWCZPWTzthnHVMLjtOIUR5k57Nr20vc11soaDuHREhET82d1NEuOj8uxlOcAs+hozQTekwRGlfsW0SC21C22w6SBwed/re/zxlwJWdUQ/qdBPBG5MzuJSGmScDjSVOrULR2uPZMmaLNWAaEHi2M73WAlcpUkcO2XMSSSxtLUvsZSpYyMLQOdZ5Qzg5XqhUvsihvXyAENwzzEzXJRXvjGL4ixhx5CkUwkGoUOrq1jparZ1ku97xc2vv/fs2XN3btmyeRjgjgowRu6ZbHR2b5wYEAYOK92EvpNuL5dPKcpO0GjzaPl1FiSY4Q8yBO5i+crYO2fzEshlzlAjcwbz18Vsj2xPGpXKEqVGht2kwHaUKJyU3A60Hfe2MdmkzF0EmE6JvX035MkjksPnKhjloqTEkzqXb8XNWOiwURclO7Qp9hEq/GoL8ih22b054vJdXR45VCVSHv1YUJHgJgYnFmkRVNqFE6d6GIlAM/wnRYnFRUka2WcnjQOUNqlUscB1EpEm3uQQe1ugy6Iuv8zipRqVMomNLGJrqg7XgJpS6XU2MCrNzEaxJAwVvcBhua144WiXwGnvvvzqYE+vF965hsGfP7JEtVrhoec7nFpI8FyXml8aXJ+YfPxWNsSn3HJW7rnLGHv9hWkY4Nlyuh7IM10pc0lSlizCds+n3886XTImz/a9LG//nQG8PPzHdtuTAzvPVubMnaTbhafBpRNhiPjzu2ssLVURvoMnrbujRvX3aIA55IMXUwbKddy5N60VUeQwPSl57xs6PHmkSZBU6CmPamK1+FA5a1wqZUWnnnjqaKUsPhTUGVHMeyxNonI0qVSyK1KSZpWVzppLZJ5ksitGUZNvr12JwYcCzbXDPU0JEUVZ7eh02+y9lhNVFuBBqOgP7A7NOzYmXLpjBU/MgVsUF+YAv+vLX0YpycJSC0fYYT6ea/+AEAaVCOK4GJyYTygqS5dSnUm5yGZdcIviOT8xDDO3GLHb1NBQnxEGV8VzIVckyhkGuOekA4DcbOvANMPpGNw8Fa/T18nQ4SjbufPiSfjUXQ0C6aGkSrOXwzNZRjOYL3Vxcyel5KbolMHjxMFPHN77pgF/+JUezx6rEimXnpR4iU7dI4FMykRg0vaycu5Bp39reN+iMpMX4LaDUh2dSUGNTLIRE8XIZTuZVuZBZsHgpQrDEsCL53UAPtTdI/KVba3LZHeIiGO7DUwQ2UMbUKrCkcNnOX36DowpJJoDcOjoGXbu2lK798u/ufP4sSWOnnZpddIB9jatlNcAx1qgkjKLl9m7cAYoXcAyuodKcUZ096gGLwb5iCHwKDE85kCVxh+UpzY5TrbJa6q91Qi4s/S9mzUmazszJG8RSxMfTpweEcoNOXzWoRN6oJxUnpiR8ti1n2fIRSnHMaNeeNqNUyR+HOqu4JItA549HJJon772qCS2ZttJNbgSdrNWm1jK2FKTBZkFk5erPG1OzkknG2QTY1U6LNPGM5axE23y852NXY6zSQYis0XNOgw+7KSI8t0+QoBr9HY+0VaUqiILgJc3AV5uCeZPBFy0s7HzZ/7J36u9/4Pf36vUt1iAz8/PsbraedNSb+KnTp5/DmjYBtfY4BqdJ56EMMgEEiFQBnQK9PXmmKwJIEqsPSRP1gF4nuIWw6xYBruSxXg2OcTcAlmSJeVdjF1F6oVbcFsAF0OBMgZ3nRH2zvo6vZDljua//kWDpX4F4btWnkgzFPQWg3P+Ehs4O286HShadlPS1H0cOzRrDv/gXR2+8WSTpcAjlA59KfHSHko1dHOlG3xljCl0XkZr0Cm4NQbJsLNif5c2BqVtcK4NSG1lX9bULfMhT6VRHYKCyfMbvDTIU5g1134II+UVvwRyXWLwLDEVp0e2s7Xdjtx+9olGn1dcPfVTS3MHH+z1+5/LGXx57hCVisf8hQXOz7vUKtb8U1KglcAxxRsTAmQmU4RAZmO5SmydXbhvdnHLA2UKB0W8BIMX0mQNwNXwkE1VArUjJU4qSZwc4Jnm1nlQ6Tq6BO7EduKrYfZ2VYTnhXzybpcXjlZBukgp8WXJzhTDGjw7YS9ZTVgihWIscQHyWNuWszh2uXJ3j3fc2uYPv1JBOz596eFLUSR9pBhh0mEmF2UmL2UPyzUxWoEydlXQRqDSkcY6XTUTKZDpMH9V+luZEVA4KSMMXmoY/2aPIc9eD0u3bN54PHIk2p7nek1R15KTx87R7frEcUAOcMcXSFfQqBuadU2c2D8oZbp8qcLcE4khSU+eFmlV7NCsE/sHTf6ijHRjL7gpgA0FGEaBnXWjD0uUMsCtPJFlcEtZADxP9GQAN3ZOdipFXFW4Ja5ay9yOsuztOnZq1UpL84V7Giy2fKi4I/LkpSUKQgzf7GUiGLXtyp04qUSJYoeJpuK7X9fj8w8NWOr6hMqhn8jUnhRFS1kWmOerR6HDjSm6fnTO5sVYD2VSHZ6SmpZWm6t8pbTsLqWxYBdpY3LaoCxENuRouHdzGOD24o9WVxZ5lSwhVdz4mUSJNSTp/j9RCnCtixxDq2doJgm+b8sIAJyjR48wPTVx0b0P7vvJR56aIxooGrVS4Q6ky5n9i7bk1X4ALbI3YdbKk9wqLC1LeXq+xOKCoZMxNN87DTSL6afZ67I8EUWHS8raqgxsVexF72TMrUrMvYbBs/1sMlswxlE2c3n8hODQyQoaHyGte+KIonRg2EEpyg7Kn72cBBtmrXSuTHnTp7S/NU4cMA6X7gjZvWnA0oEqJvEsiyep519ycYokWrnQK6XFrIwW7Nd551X6XmQx4D6LbbQEna4SekgupofObiz7jCxfT0MxATgFdxkE6TnItgZeMxTKFKO2s+1RsnLsfN+fxP7umUmXprfIhqmrfnLnxW94+sSJoyecqpdg9GDjlmn95h1THXphNd+3PBE61W3Y6r6sWF3YpUEIC2yhxbBrYob97+F6k2GJUnYbhoCeadmyPCnJlBzcKbAzBndyH7x8pFtaqzK4C5A7aa+jlSYFe6v0a8eJUCriS480OLxYBa+QJ2X3RIyw9+i4iPWW5NEtQobdlFIZbeiwazrkra/s8fiLNdAucWK1uJukQz6TYalUMGk5zZaC3Jg1Vpwx2bhrka7MpOAGnUrCJF0xLLCHwZ5fQ11siZJLpRTVf6kWz4hyzcpW2hpF2z2A7P4+5O5epyd54WiL5qx58+zm/sZOJz7hOG6AVB5+pceWTW26/QqLK5Iwgii927XRqPSEaJNxAIg0+pailMF8SfYuXhfBR6mfT2agKOlwWUgUMcLa6zG4KoM7nU9YbNvBGmC7+dzCpBRc6hTksZUnKqJaC3nkoOJz99TpDzyoOThS4IphaTIaYCKGP+8agMOw/jajurPwxaPYYazh8M7bBnzloR6PHfQwdZd+4uMJW0lpi9NECdwFazIC8uEEui4cHWXZPJFWj2cAT/IgOmNxUyIek1+f0SaPMsjLxFbGxrrBJqn0HdkwIXNSkjS4jCLSPX4SVlox51a6tKOQgdb0kwTnuaMwMW74+mOSO+9SvOk6u+2FSDMviRYFwFJ2sOjLoqTyLMLymx1OymcgLz/nd/zIySgYoaTB82E3xdc2wEyTOzJbUjOQZ2WzBicdF1wcujRSuZhdaNnaHkrZANPzQqIw4SsP13jxVA1cFyFVCqoswCy2AhFy5OKOrFjZqVlT7qDXeuHZkdmFYehw2faYt7yqyzMnqgSxRyJd+lrhJRTvRYyAirUgNyPvBZXdbBqtBCq7rlJglL3cOmVsLcvkU5plqMs3lihJzkJ3D+FgHZSXcTRccVkQQebdxxq7bUuYECeGRk3yd24Oef31PcYmB8SNAc7Xv/oVlFK02x32bGgSa0WzZrOWIi1AL29UmJ24rHfEiHJJbNn3znRX+f+135cj7DYsTcTws1gL7CEPPAP0EMCLyam5RHGyOeE6dVJ0CmhdAnbK3mlw6agI3wt5/qTgzodq9Poe1F2kyCoHSzUxYp0sZumzlc9JVotir+TwdN2cwcsNyWkBVhi5NBohb7kl4PP3DXjmmA+Ox0BLvEyLa1tWIcqWXQJkWjgZqQpSBZAcRSFdpGXzbFXJk2sloEsJSot8GJO9wcVIoG3WkNgQwEe2Lxyak1PKkmdsXr4RkgSCMKE/iEk0NKqKM3Mbuf+Bw9Tq50iSBOe6PYsIIYiihGAg8LwI17Gm//lFh1Y320el6I6WQuTAXq9ScOgxoruLm2Qti+fMk+ntIQ1eSBMpivoT66IUwyOd9OuMuVU+HzwbGZyBPJ08m02hTQv8HRXbw4lw3YjYJNzxYJX7n69CxQFpG5q9LE1eBjUjR/mLdR5rh1KKork8d1TkENCDgctrr+zx1lf3eOFkhTh2MULRFw5uUrwfkWRyybD2bQwzefH3DUqlzK1SaaqsdJFa5Do8A7rUKZtrComirSdeVIiKIbCvkW1CrJEp5bdZZvI8H1MilW5fM7esMcaw3NacWYCnj7RRTh+MwdmxeR6DQBJRdUJ819YhnF92OHR6jJWWa3v6yuwsKJIJUCTL1sW3WEeaiPziD5+EYguNMpOXgT2cpi8dypSYfESS5OAu6e4SqDPnxDom9lmpCM+NePqE5FN3NwAPpIsQCldkTRYmL64adYCy1So7BwUvieGLx3rLsLRSIRFolY5+yPeJdzDG4X2v7/O1hwfsO2onCURa0Uuyev30pksyB6MoXR0O7dLgSTEE9OEb0KCltV+lyRhcFEktUyqryF7rUhyFKWRbaVUvJ/n+qo9yjZLNSBvag4inTkbMLyt0IlBOwsYZQ73q2JKDX/+snQ7brMVcu7vNtmlNqy+4a1+Tk6ciJivQqFpfebjvD8Tou1tHW+WXWJTfpFgD9uz7oszcQ9KkVHA1AvJiO46MxYvdHZx8u44R1i49O5n+Vpn+jnHdmCiJufexKs8dqYLrgnRKjQ1rqx7XLs+skScZtEzpRd4AUc4slqsLE9ujaktpHYLQ5YrdA157k2XxfmJZPBAeA42tAMwCvySzCw0kIzdZudy5xKImdU+UMsjUHzdGp7pcYIRdbTIWzwEuR86HsMlAoYvVTI4kfdar1RmC1YgCkAJkKjmb1YRLd/fYuWuFu59QdHuKDVMhr7mmysYpnzDSOF9/ahohJElS4wsPuniuRmtJ0PfYMgZ1xxDF6wSEolheht/oiCU4tCSVkwAi14UZoPPt/3IWL7sT5HvvZEDPmhxyBs/BXga5LmRJaSh+Nl7ZUQnKKQE8lSieE3H4vOBjX2kQRC7U3FSekLemqaHMYck5GfrgI1evhPIy0MsyJZuz/tJa3KHuS77/LT3uuL/OwbP25ku0opcoW2WYpNnG7JwnmdNcDjqHC5qzYFOWpJNKNboyBqNLUtGkRxaTGZFKleFCuVE7WOee+Ai4y4A3mXbPXpes15RcPGVriGYagst3SN50zQBtbPHZeKOG76VFWPf8+a9t2LVR/ce50ycvlYkkDj084bCxabeqrni2pjpLiRd7uIxaeNmHLafWi/0qbTe8GAkU08xj6VmOWH75c9bMkEkQh5FAkpShS4Fl7nvrXK4M15qUdn9IGxmyI5Ehf/jFGn985zj4PqgKSjnUlKGq7F43WWWimzU5p61xRSZ1bYa1KOsdlViUhviTV+8JCVKV28Xsa2E02zaGnF2UPPGcRywUCIURCiFsKe2aWGfEhy7R0ZpVBsBkcXApr5EPt6csadbfzMDW2YzEGqYsy4a/pvRcnoJWfnciJbdsZU6MJIo8POWjZIVOd4xTFxp0xOs3hpXv/rrjiRPjl29f+c4bLu7x6IsOTT/bTzLb53wtuDNQF0vx2tEIYs2dWrgiZYlTWFqlBE+5g2cka6bW7KKW6e9UE5deOyrb6cGUtjMxOVtnVqDV3tkR4Tohh85JPvGNGkgHpGXvvHO/3DZXfo+MMFb582df5LJkWPdmxVZ56j71fJ1SZjMfj6dSLZ44vP8NPT57b439ZzxIx6oF2sVJ5UnuyycpFJNySGdycFpwmZJcAoXASGOfSfc6FaV8iABpTJrJTP1xawzZTLcZ9cMLVl/D4iNSpGxI5L6+BGFsOa8tuLITtrQW9AMXpTRaw31PJ9QmOt85OXl83Hn6yDJn51vsOx4yCB2mm6JgpdL2zwXbiLTeONXkjOjy/Fnky3WZOXL9PQTwdeq/S1079q41pcCy9FplrDciTdJtTFQZ3OnoYfv9QqIUc8UtyBMV88UH6+w/XGhvKaT1vtMOmtGu9tEMZpk1R7lxOLEx0oA86oln7WxaoBNJIrMUvpUql+0JePuruxz9hE+YSBCOzXAiUJTsOwQSQ5TrgWy7x7VyxVD48zKXKPZZCvtaGFuHZFJAa2llitbrSJTSSqLFWtCvkbM5AabvNFUE2cohEEQChLBJqTgRBGkCb3q8x9V7V3Dq56k3Epz5pSoLC1UIfLZO25kh5TrrbJnNQF6WJOXkzHAwIHKHBFEGd/Hz0WaGUaCrPHAxI8FleZtAhsCdB5iylNyRhWuSpd7zLU5Kc8WVspNqXTfi2HnFf/9Mk4F0UwYfDi6H554Mb4i1btS0zqNISWfMbUqvBeul7ov6FDvRN05c/CTm79/e5S/urXH0nAMqwmiHULr0tUAl2Q1n0h3Tygm4NIehht0dlfnzKXuTBsDKGIywvaR252pja1eGmNu6LtIYG2BmJAW8lB8+dP5KAM/wkgW9Mp8xX3QixbHKa9YdZegHDTxHsmmySa3RwLl6t8empk+47DOIJHFiPe/szsvrDnJ5IkuORwmwQ0uNGLoDy3Ilz/aNLFmFdi8/m5J7UgyzzKVJvqPaMMBz10QWAWUGaqVGXJMh7zukHWp+5/NNzs77oJzUGpT5gKHRoqohabKGnYa3D1wX6LlUETnQh12ULNEh8yNvhpCKJHbYMhPwo+/o8Esf82hFdvk1WhKgrG2YiBzk5WAzj+JS3s41dCpXFMUNqFLZIqX9vNlry+YW+CZzUVJ2z85F1i2f7wy3LmYYwUzhe+v0d+p09TBp11GS7sBmZa9deaIYVlqwuVOhOebhVPyE8YZm20bFcsehN9DEiSYbCFpkFUsaWpQ1t3iJpWY0mbP2WFee5OxoSnrcrGXvnLkZYfBUlqTgVinYlVOwtpPtkpCytsq0tx/x8Tt8PvrnTQLtWnkiVC5P8qbidQqshpocRDHp9ZvR+Wj9/HCnT1ZRJ9M93/XaFL62W4FXnJgPv6fLoZMev/9FF2QIKBIhGejUTUmya2JyYBfiaaQapJRNtCyeyZSSnSnTG6LE3pkuzxg9B3ga8BpTmjRQ2jR4PcCXgS9EIW20Ls63TEoyxliw9waG8wsx9akYrxrjnFtMCPsJFV9TiyWJFqhkJHodvXilN1Z+gy/15tYyWwHscg1HtuTn8kQMs/YouLOvM92tlM5BngM9bV5wZJLrbjXC3tb3jlhegb/4Ro2VIAO3BbgrwUsnaxWDiIY/Q66/WccdFEPwGS4tLj3rklzJ6y50UUqbB5upFldaobXV3GNewu1v7PHZB2ssdRTICLQiwiEQIq9TKfvzefA7AnKTsqHKJZStICSr2c5KC2T6Wgq0MIVMyZ5lBvDs/Iyk7XMMlZszRrA0FM8U0mVIw2PPXZxAb6AZhAkTTc3mDQan4kESGvpBTJyQb09XGEDpGxhqGh3ZM3EU1OXl5iWAXg4my1p2qK6jrMFLNposM/hIcJlLEWlSbZ3JEk15kyo1FFhGuLWYO+6p8NhzVXRJeyspS4VVZkSevARgSocYOUfDj5IOLiV8io1SX6LK0EhUyRePExdHx9x8ZcjbXtHjj77kgQpBSIwQDLRjyxvyG7Do+FnzXkqihdSmy/ttjb0+pvRes0BTSAvkIYCnjG6kyH1tkV1rhoFe4KeIE0aJNFcLI5jLHtrYmLFasb3D/YHEiWLBSgsOnUxoNhJ8T9l6jtHAMUvMv0QMtT6rvwTI5TBAhtnQDMmS3BrMMmtiOKgcclHK4M6YWxXaO99iMJMn0h6+G3H0lORjdzS40PHsftfSDnpXAts1IwQvXVBVliYvzd6jj6FED6MSpTzeoWiGMKXEj0pLaZW0259sqCf8wNu6PPicz9E5CSICFBrJQNiJvFJn5JPNi1oLckhBmrKzKv0rgz0XhgzcVq5koDZl1s6BXrIrRal8oPy9nLnN0HkTQyexeK/DlnQRL47VJbOTismmnUXp+J71fDo9Qa1qgzfPKZbdoQtSrhoc/ntr2OolAS7X1m4UvYTrB5aqPKog+1qNsvhacK9h7gzcMsGRVpp4XkSQaP7HJ5vc/2TV9rZJx2pvKdOunXJjb9GDuCbAHGHyoYswgvW1GcyiyrDY370E7lJWUxtdArkiSTSxdFCxw2uvD/mx97X52f/hEcTS+r1aEguXvhCl95utyi8NcpVD2urv/P1K68io9LUxImVqK22kMLkssQBPb4KXILzhbPc6K54xw1HCSGWWXfkFIt0Julm17zyMDM65ecFyyw7EqVYkFc+OVcgGuRQXQoywzNoKsDXgTr8etdOGg8vyttFmjUQphsyMAFymM/PKweU64FbpZFSV6e2SJahkjOvF3L3P5bP31whCF6qO1d5S5exdbKM3bBGu8XlLKC5UyvpNx+Xa+QzYlKRA5qDYFrJyE4RAJRItZb4nqS7tpFatxdz+2j533d/na/sUqMgumVoSCeuPl23D4YaIEZCn71GllG4o2NxgnROFDSK1AJndnIK0Lsf+G5l1fg2xOCNl0xmrs+5jdCxJdp4ygEuZznNRipovmGxImuMCByOpuIrNsy4z4xLfs4DJT3yeeCjsqywgGqajMspLQYVca6NlDFjYg+XRbAVDWu9b51o8Dy4FeUCZ73SgrOZ2nMISLNySwv+2mtuC23MjVruGOx6scfB8xS5dwpbEijyxQ2mClFkjTfKblWGwfxPhvebCpdVLa1PaeUNEOh/ECKQpGDxjcSkUMtFI6RAFDpdsjHjbrV0e2+/RCqUFOFaPhygUItfipD73eiA3orAK7WCs1B/PtJXMdHnK4CnoM1mSBZpm5Fxl58kMdd4P42cUWzqrbMyetZ3rmL0VgcVKGGqC0HDRLkXTODhX7IZeR7OpEaIkxIksjS/IBtKkWywntnVJ22H+Ra2AGDovIwFF8QHKTC7LrknK3mu1t05rf80Qk2cp+XwLb1nyuaXOJYvKQZ2UWDxlbidGk/A/v1Tlo59pYIRjfe/UObHsbeVJ2SkZCi7LQVIZ6Hn+8iUwPlp/USaTkh9ertfQWXOwNim4U5AnCi11LleixEUqzYff2ePIOZePftYhitMaAy3RCAZCInWx2UkR2JVAnrokw+5KweRplW2ajEmZOvt5CmAkdoMpYXMpNr9SpN6zcg2Lj6y4aniSbEYCFpMW2HayWvGclTYYA7FOCMKYxkzC5q7GObE4oNvpIOM5rt7ZZGG1ThjJYoNSLdMBK4JYpGMjsvAkvUvLj9E7cg2w8yDTDL9e53lIg4+4JzKVJbIM7iG5kv4s1dyFNIlRMsL1Io5ckHz23jrdrgtVVbB32Tkpt6WVV6Bvoiezb/xlSZ5i6WV99s6GTsqs295W45W7fhIjkFoipdXiUtqZho16wjtv6/GVB6ocOZ+mX7FsnmjBADui09ZvFw5ZOfBU+R1qSlIlY2pLcEpkmcY0u5l3YqXBakmi2KrRTK6QN84UccuwXViukdHabhKbJCbtpjdDowSTBIIYFjqG3dtabN3YYnamgnPw1BjnzvdZPtdg04SiXrVVdjrdPDSKNUEoCSJVWFkjF2cNwNN3uEZ7l1i7LFMKaVJMTlLZBFNl8oAzY+YC6BqZp9xLLooa9roLNk+Q0hZYBZHmrkfrfOOpKvgqDSydNeydzd8uuyiZvzvUrDEC3L9cnKxL7MPHyPDJ4XniJRbP5IqQyEQhhSIKFG+8NuSNN/c5/WWXQEsQ6RQfBLFwGBiQek3oO8zk6dcqKyWQKdAlZNVUqYLJwS+lyAvIsoAzB3MO9LTqxZScp0zWjJ6TbA5mOgA2ig1hlE49jg1xOiszjGFmXPBdNzu87jqfRqOC85prt67Obwy+cmF65nv6QcB4I6DiJRhjAT4IHKRw0q4SmY4EADMSDeQBZs5qwxagkCVgr8feZe0tRgPL1B4ckiVleWJyvzuXI+U6k9QxyTxv6cXct8/jl/9gjMQ44LhpxaCDkNLuA5QVVYlhBpfZuGdKQH8pJi+tZC/F3muIIve/zUjiJ41/ZOqsCAtyUwa5UCRaI7VDHNv9hX76B9scPONw3+MS7RUsbrTV48OLThnYIyAXBZNnwFMirS7M0vuiCAClsAxnRIaXwio00hQSaUjuidxaHD1HWT4g0YY4Ngwi6AeGQWSHABnsilt14OkDs2y9aOtXrr7q4lVnR/W353bu4ReCreZ7ev2ERi2mWYuQ0hCEDvMrVbSpMgjTvjRTKpcfsXWKizzqmJi10mRNKt68JIsPS5QSoEdfZ7uC5UkcuxtY5phkQD+9KPntzzU4cdaHWsHcue8tGG79GtHbo7Yg+ecXI4DJfjQyyWkE3AXIs61f0mCuFGAOj1krXidapqP07O5z2ii7VaBWxJHDzs0hH/6eLseOe5xcKS0/qfoOSbfmNqlUKTIemDLIpTUbnHJzhLSMbnQK/PSkFGC3bJ5bpnlQKVLAF/FKOR5YE2ea4fOZGBiEhqWe5HxLEkQWR82qoR1qTq/GPHTk4V/APDTn1Ks9QFB1YzZO9ugMQh4/KGj1BPWK5Ia9PaJ4A0urfj4LzuhCppRBnVuCFO7IEMjLLL5Gcw8DfFR3l8Etc+uvxOKZz51p8pS9HRVbzzvV4ImX8LHPj/G5e+qYSqa7nWH2HtLeZfYerX4cronP7/Z19cpLUbkYCqaGkz6jHffpc6rLtVlPthRSJREOsp9w++v6vHjM5SO/6xD68VBUrI1LoEU+JWH4NhxmcpN+DkURe+VghjTAFIVcycCfuSaZo6ZNXj9u7crsf0h/x9CKkgFbDDWXtwdwthNx/eVtmpWIVl/x9KEa5+aqbJrSNCqJHQm90qlZd1N0ePFkzJ/e3eSJAzV6fYdaXfP66xKu2FShohSxFkOfuwgO1jJbDu6StaZKAxrX+N5lvzuTKkMAL0AtRyVKprOlRqbsPbS/Y15zkvC1x33+4Mt1Bkk6BV8WiR3L3qbE3sNbAo5mXr8Zq+c4H0LNWggVmcySBBgJODNA51pcFgkgLUt1KsIgk1SqCI1I5Yrvan7wrV0efsbja0/JVF5m9qEgwWFgshAzY/ERkBt7LvKbUho7x7P8sVL5YSfClYCeXk+y72dsjtXjWmRaPd1hr3RfZfiSwjZg2EnBktmZmPdftMp33NBivB7THcATB1b5o681OL80S7NSIdEa5/MPGmp+zKEzPl9+dBu9vo+DoCoEKjA8+5whaSl2bBRUfZv+zNyNYgkuagcycBcTj4bZOmNwJcubGLFGd+eaW5QAnu/4tZa5VQnQBbBjK1FkjHIiegH8wu+Nceysj8nAncoTIUTK3oyw93BTg/xmoBZ5uPUSCB/xVEuMPQrqIRbHDMmTNQPzRVpxKEyRAJKZVHGQoWbXloh/9cMtHv4XPp1B+sZ1Fk1IYqkIdOGilM06K1HsDm3FWxc52w7LEsvcSNvDmbE2pRIB0iDUlg2YfPtvIWzQmf+V0jm2E23trh0VX3HRZsWVu8Zw8YkGmooy3HplzNW7Ah5+sc25xQjP1TiPHdyLoxzarTaz3jz1cdv5QTpUsurbgTL9oNBT2e0lyiDP34gZAfQoc5dT3SWAy2KXgGHfe8Q1KbN37m+XspWpU6JknMoUO+MkTuC/fbrBUwcq1vNOexiRZe1t0sROmrkcihm+GbALmVKkwcmZcIi3R9O/OYMXoNaIPFgzpB44w4mg9cBupNXkQkiElkiRtrgJB6k1110a8Q/e3eI/f3KcMMlYXOQaI9aKAQXIRyWKrYUtW4YitwwzZyVzPew/N/lSb7I/B6BN7pMDSJ01SdhgdPS8ZXNwHCnwXEXFtzb26bkGS60qjtI5Bn0v4jXXNqlWa2itcX7mJ95BvVbnhRee5ytf/jJKeQRRQhjZ/8lNezMFxVYX2TyMQiuVAF5ivaEkTi47yJlbjYA8Z+6S5i5vXzfE3uuAu7gBSpaginEqCV9/tMLvf7pBq++Cl2lvF4QzxN4yY++RlPwaoLM2PZ8Xm5XAveYhCrYewnv2vaGsZgnomTRJwSxlqVZcmrQRwm5CZaTEaEkilGVFrZGxolnR/Mh7ejzxgs9djyioxbbQOgvxpCA2kkE6yMdOIB5JAI0URBlEYRlSpN/JPkp6A0gpIMVOvurrEsjTz6hTGzL7f2V2nil6ggEGgWCl7dAb2OKBIBIEoWAQSF73+tezZccV9HtdnM3TCq/icPF2aF8b0x1UOL+oWFyNSRJbB+w6Ml9GSvWUa9wTKU1uBw7r6xE7cKh4qtghwDYU6xLwdUmmrAW3TBM9suRx565JWjEonZgDJxz++6caHFl0bZQi1nFO8poT1pTFCtYLMMs397AXni9y5W+MKJP82Qyd0pGsZsldKWU2cyclBb1JbUPbVWOBLkXqqmQtbsJBRobdkzF//70dTlxwOHxWYJxSxCAERrtEMgV3CsoyyI0kvSlKzE1mG5ucqdM5+6UTUg5G0/tElkCe7raSsbgYMcTLSbTM8yYQqRcuWVrVXFiKmFsO2HUFbN3pstp1cLoDGCQSYwL2bDvHQmuac4vjKClTHWy3A8l6IkclSXkz13IAOQruXLeXNfZ6YM8YW6RJntw5MSWdXWQwc7ZWhWtiwR7j+REXWoJf+N0xPnt3zepuVQa3QgprC3qCkufNiPf9ErJErsHuUHXcqAx5qUd5+E4Z7SYlRpmDXKR9iSbNamYBqLQ9kCaTKIZESESiEEKnANeIRONKze2v69MaCH7qPyvmViX4qYaw0Z7t6cxkwgjIDSa3DFXWu5aDWaQSg2HtnbopMs8A2htD6wLkIrcbRV5XPjrUNRu6maTzF6GojZIy4Pxqn2NzAdJJGGvY6bNOnPhUqo0L8yuVOx99ceObH3muS9QL2T7rUvFlvoGTUuKbBloZUDOQD9WWqEyi6CEpMpqxVGJYc8sSa8tSZaAUGiUKsCtZ+joFt+NEhGi++FCdrz9eLdWa2HS8DTAljgC/xN7yJY58lSpp7HwFKzH5KLiHq1HFMNBHX6+xCAsdnhW9GbmOH56l8KXM9awNNE0KboMQ6XNs8B3Nm24a8PZX9fjjryjLhm4p6JRgjEOYZTlLIM/rj2TZTivZhplOz4NNC3JZZuz0f1OyALlIf4Ewdi5mNhQqn8OSJ7yMLQ8WMj/vNR8u3Rlx2cVLnJibZMuUubPq1S7UvD7qv/7Gf6G26drV88tm9ckD6nsPH2mzddqjWZP4nlPaSLWY4lqUrQ5PlVKln8lyr2QO7nXazkoNw6PgHs5W6gLoqmwNFgzuyCxFH5FIzRfur/LvPzrG8fN+WuSe6m6VjoKQdlNVP20otttjZ/vdlz9jocuL7TzW2dZQlKfeFkOP8pnmqRaVqUOn0mdZOoZ6U8tflwhjPZIZHnpPKT4YLQyzjDvZTLhsT8TpecXhUw7alJejVJMLu52sYe1NXY4xzLp39UgMMrqqlYu/s/dKUYmZ75AhyDOgeaO7KP1SLC5dV7FjNuF1N+9gx5b6Pwk7zz+6ccd32D16tk4YPM9w2WZBI3aZnfLwXJm2r6UXVq29EEKWmFoOB4uqHDyKMnCHGxjkOrJECV26IbKiqVIBlSyylIUGj5FpttL1Es4sSn7/M3UOHvWhXvK7ZWELOqQp+azBIg+QbfJhCERyHSYfkmrr1H2vG2V+EwI3AoxeR4NTtLMZO5Kh3O1jkya28EqYQq5oLRBSpml/66xkHnkcaC7dFfOD7+zw+HMeJxZEgV4pcqbVUq3L5KRa3G5WRt76nm9RmZ6cojArXcBkulLlHcr2n+pUughr4KXNxemsFQNCk65E9t8ngDE6HQAE/UAxvzhOJ5lg85Y6UeQB6SZUN99wOZ5XYdO04dTEKXzX0OpBb5AuIdnFHyoZHS4jHbYJSzo8A24J4MO6W+f/T9k1yQNLZeWHFGWHpAz04WpBR0UsdwS//sdN7n0qHXmcWYJ5cClz7e0IhhM7aySJGf6MBUHlAC5Yzc7p/UtwPQzy3D3JVEoarFH6fskaLOtxre17s1o9BXYacAohbSOw1mghSGwPTgoSTSI09DSvuy7gH36ozc//3jgr/dKHkoVs0qwHcnKv22ZkoKzBi0ymSKUJqRYvfo29UVL0p4DWpRoVGzyTb4mS7c4sUoQnaflsf6Bp9ezIvl2Xbmfj1qvp9fr5x2Dzpo1cddWldznizC+PTQzQsmUr8fK6bEqTpswaIJeDyKFlPQsQVVEoNcTImQsyIkMKn7vckTMCbpHahKJUZyJjBtLwPz5T53c/3aATOSXXxE31t0QIUSqHHQZ2ufliXa+7pLPz75fxXlq+/+pAX6dCM6/cLLT2cDKo+FmxeVWRsh9qcdMqPbK5KnZwUJI4NBz4sfd0+PDtbao6Bh2DSQ8dg07AaLSBQMNAQ2gEkYYoDfhiLYhNuq9TuX9AM7S3TnnL8CQPGLNSWPv9orEmc4xMURuvyz9L/78EEqNJZI/I0Rw8dfaXt2zbc9fk9IaCwbds3czf+6c/31NKHr+wMEar3eWaXYLpZnHlhpySkfS1KiV0ypLjpZwSNfJvCllSdk0K4K/H3FKltmD+HIOrefGwx5/eVaMdOYXfXU7qYAPLb8be69Z9lwA92odZ6MgypQ8D+JuyOAVTl5l9TXazPJckHy0hEKmNOCpPZMriIk2saJM6K5iUyQ1xZGj4ER98U487H/F5+pBMJ8CKrAywYF9stnOIybPUfBps5tJFgsoynzL9uc5+Tv59K1Fs5lRn59WkZbRZzYoo5qGUs7xC2J2YL9rscMUu8CsK5S4d//Jn/13vu27/2QLgAH//B95BtVLh3vsf5IknnqRRsUFHftJLn7m8fXOuuUvBYsHCI/Zfnn5fR5ZkvvdQcuelwV2UwqbZSlfz7FGXf/DLEzx32Me4qgTswvOWgrwc1i2x96gtONq5M1pclZ2UIaAzAnpYq8tH5EmG8FEGL88HzG6CsicujU2d6zT4soBON+cV2RB9g0htQ5m2edl0uEQYZbtihIZQc9WeiN/8qVV+7D8IOw/do3A8Sj71KMhNbvVloDcpuLMPb/LKw+xkmFGtnn7C8iiijEy0trmV7N7IOn6ya2GModuT7D9W56qrr+WKa15FGA6An83fOgDN8Qma41OMNatcvA0uvSig4sVEcarDywxWBvYIKxclrKMjHYpOm6EqwHWckjU6uwxuWU7qxEgR47gJHSP4rc/WefpFn0SVrcCCvYWwOwO7a1jbrI0neOnXa4vLxDCYc3D/5UJldFJBIUtGS2nL1mH5WeQ3RHnr6+Gj6N8cnYyltYPWDiKRXHdZwN97Z5eGTDehNKlE0TGY4tkYCDO5ogWRFkTGbtQalyWKWe/r8o5pw0cxVdd272QyJdtpzeSJAiuDXUcyiDQHTwccPhUhZIWZ6SkmJybzc5oz+Fjdw/MrRy6+yDvq6XD38XNtziyMI0ydRk3hOgw3LORBZDHh1SmDO+ubzIPFMkuvJ2MKPV64Lusxty4KqNKu+F4Cv//ZOp/6ep1ApuDOAkpZBJZKlJqI86zlSGxBEVyuqTtZR65kgB5KgOXg/qs9yrq7DPoscylTwGtMPoCyLFcKZyXLamZSReZ13om0DotldZVnmxNtg08Sgyci3vuGHvtPOvz+Zxp0IwEuQ0FlxuQ28CRP+mQNx+UiK6MtgZi0UCtLwWf9nuWy2/wWV4WzklBsLitlltSy/1IpSaMmaY5pIrnC0mqTpa53FOEfiZIo/41ZppWP/Mdf5cpXvOLoat+Z/epjS7d94e4AaaqMNyQVX9r93VU2eFzkGzqVj/WmTKmhiVOl7w+1oBXSZCioVFmCZxTcadbSSehG8HtfrPMffnecuWXPvkmZBZTZhCrL3p6EirTSdinDIAAAOXJJREFUJPO9lSy2I7FVjsWNW4yNK/zroUOMbjUu88q3fBMtUfjhxWZa69S6ZNZrWffLkS1R8p8Ne+HZjVX82+Hscv4zzMjPzPDNaGC8mXDDFRHtnuSFo4owLt3RZUkhbCV3kt3ga/5B/oP8dd5tmf+54t/mdZYjK+KQF57mIOxOHoKKL7l4q+Y1V7e4/uoJrr5i239bXdn/O7v3vHotgwOcXmhQqVS/1Fkdf8eV2/vXbpySNGsKz7WJj6HprmVgj8wFzNl7JM0uymxdyloOf11obykTG3yOMLcUaSmsr/nc/7+9Lw2T5CjPfCMir7r7nD5mpnvu0RwaSegaSYNGIKGDYyUMMmsvYO0aG1Zr1tjYmMPGWrxc5lljjAGzNotBGIMRoBVCsg6DEJIQSEhC99zqObrn7LvryMyI2B8RkRmZXXPoHIE3nqemsrKraqqy3vzy/d7v+mERH/9SBQcmHZUtlTiVtjxIdH9B41jKbM5JDmx5RzoFg119YoIOWbJN5v/EGUufCclnbVcmRG82ktwUWA6WsehSat2YJNxcOWdKJiRSghidXCiR2czLIYafQ+nLAAUhDFEo0d8R40O/PY3xGYKv31IGAv3hjT6e4+Sh0JIgSNpSWaSFyarjlQTT+eBS55Yrbk50dmLWw5YJwrUVF6rMTTW/B8JIYLZOsGvUQSsaxGlrOn6xYklwq2hmr5zMfnDnzV/D61+1as9Qrzy7p8rP6KwClSJRdQHUzHzXE4PzI/nMNAUntdR2pfu8YoV5hQtprkkG6AbcRCdPUQ7GIjgBx44xF5/4chWPPB0Avh3IcS0rzsAoEFCdDqu/h2mk6dD5lIsymW4nFjZvwe0pcLAsNjLWmtCsBU/aJth8n6YWypxc8+mR+n9M8l4+YplYc9vKw3699Zr8fmR7LEIC1SpHIZC4/zEXE5MsRUpqZjP3QqsgmVCjTdOMzGmZAduxzpgFy9AbQ5JOVVb74xhotDhmZjkm51yMHSndcs9PD37uwkt+NwPwjAUHgDNP6wchFNNHZhA4k5hruti5r4zYDBc11MKReiRIOtjJph/tFJLUUuu8lXaWm9jauAa7DW4aw/E4do66+PAXarjroUChl9rBHLOdqiYOSSlJVs/P553I5CAmAJgXxSapo2mb7eP7lEdd9suyhQ76Ut6uMRDSbSMXEi0TGitOc49NUYGy3ipESMCsxDkVSiRNiVe9ooWPXDuNP/t8Fbv2eykfTyy4kf4cSFDE0KO3CeBRo/KoeUGCqHn3yopL/XLdTJ9mnWhhqUeAkgpjbZCkuiCDc4kdBzim6hIrBgtYsLAPwqghxwL4hjMuBCFOOL5nG/7l9knsHetEyRPoKDP4bjo9wbWstxnHl7ZykLppj5wP6iT1VWinVSZ0xKYqiVJCRBbcLsfIIRd//ndV3HBnESFxVD9BkpcFVYqvKSI2yomtdTPLetlcN6NzH83BtECZ3U7bS5/wyoG17d/zEU9JLLCrAAgVOn9Ewso6VB88Q12AVC4UTEcLdRmDzlXhAHwnxtUX18EF8Gefq2H3YaIQkwG5djz1AKyYkDTxSoNbUl1MrWmLIKoNhXFAhZQQNK2cF7qXYWpP1BWWCwCSwHEoejoplgw3sePANCbDJXjday8NwyjGnxwP4MVSF8A63nff1g1r7vzZ3GaHh1i5GKiV05HYniPgu1yVBDlcjwdJK9wNSEkG2JY1nwf+1HITIhK+rSy3VaHjcOw+xPD+v63iO/9WQkgdnSRjFQ+TrOZt5uokVTqGe6Nd1mC2uU8K7FxP64QO5OavWw7YieLb5tcZC5635AbUSEEtdZqqst66TUmybQCt7iWhSU6HKoKg2mJrq27YPWH6pGeIYwkHEv/xNXU4DPjAZ2vYfdjTua4G5IlArT89AwdBUwCxtuRCqymCkOT4C0LAiZrYQImSEBlR4wqdJOfdRDKhDSPRRR0ExYBh5aCP89d3I+gZ/tHiJYPvm52uH9+CE6cT377x9hlGaluHe4qbJJesVKTwXQnfkwg8jsDj8D0Oz+XItCe2AEssi20sNSFpkCcFvMhRFa6fw8GIBjmNQR2OsQmKD32+iu/8WxEhsyx2jpYY4JkKebt5ZibHOx+Wt8GLo+xDm+CNBehM0OdZGnIbJnZz03mUxQR8IJPgYbJfmDHrJAdydXWROiikepBoGVFKEP0GROgWm0RZZ84lHHC8+eIGYk7wJ5+tYf8EciCHBXLjMlLE0Lo2UROYhT72jgY6ha7PJSpq6VCACQKuqaSgADfzi/Rv5zA1n362zrD3oAdBynzDkq6te5/6wcyaDRcfH+DQlq1er1872F85u1mPTu+oAJUSR6kQo1SIEXgxPJfDddJOroliQoQlY2k+R4XlGBmAm+fagOcWD4/1e8agjIM7wD98r4wbbi8pcOc5d5sCYlNjmfQXN5b6KNbbttzzQvS2Nc+Df56VOEEw5612TgdPqAkwX0VJcqSN5TbFETKx6ESmeSwZhQVU0RKk1tz8h6mqp4BuXEEHHFdfWsfWZxx88ssVxECiWau+hlJfRQ3QGaSk4DrUHhMg1hmcMUmBrarl1fGORFpRxShBTAFHz+IxiVXQlNJhERhz0dFVfmxmpn5tuVxqe4zbAvyNV16K7373O3ztKcvlvmem0FEO0VGJUS5EKPgxPC/W4OZJf8DUSouMZw6jvSZevAazZdFJAmqOjJNJYlAmQBzgjvsK+OYdRbSoDe78TVlv03rNzQdz7FC81c4ir0S0C8/b0cusl59u2E1rjhvoken7yHnbVs4JJGD3RxFWtUubm7La2pEzjqcO16fOqPLqUmfT/E4ssehCsOQEgA4WeZzjLa+p48GnHdz+kyIkidNYuE1ZTM4rUbk/EhSxBDgBIqL8Awrb4GgpEOa3Ur+hQyVcrqbbebGq4omFRCwEpIxBKUN377A8PBnzcy549YkDHABeuek8xFHzm4+QbasKbE+pWIjgOjE8V4HbLh0zYE0sgPltTeakbgqkuJ6wgG7x7wToPKUnLgd1gJvvKeB9n63hqV2+1UcwbZZpIpUgFJSmuSZZ3m3lfNP5lrytQ2lxb2p9Lfs5dmZh/nu3jX3knpLtJEFgUmWTP8s21tuy0u1Bb//dWHkKojOWVHSTKoqDlK4IkXJyaKBDmI7gDAwS65eF+Kv3TOGPKXDLvUWAxUiG+RinMylPksnvAqIyHLnm3jBP1d87f7WkUEEd1wCdAn4kEYSA35CYmpPo7KrNrV57xjeLhcJR7chRAd7TOyC3PXHD3yxZPnDt3OGfl/q6ItRKAoBSUmKhZtgbC52ZzAWCpI+0/tEUAGR6WTRWH+YKkEqCKjtQgDrATT8u4IOfq+KpZ3xlludZ7dSpNLzbo2nzHtt6t+tUZa4s+QKGPEVBDvDZxhDWlu1sZiJ5bcDdbjsnAxqQq8OYWnKbvmSLIIwVlxkHVNU9KooiYPRly/GE+S2RhOaJ1V82ObFDYM1QjE++exqUAjffrcFlGokLZllwk2VFVSQoaRau3k3A+sIWepIDQdQ1UUbQASvAgUS5xNFdiTC8cvmRu+5//G/e+bYr22lPxwY4AMTBekxMTuGLN/8M/R27cf7aBuJI5eEsG+RYvzKC72gLIlRzzpgzcEEhpbmRjEGzaYqiMYaHW44lE4AD3HSPAvcTOwMFbprj3jRLTVyCpK+J3dvE7o3YLkCS5935qvlMcpX5Lm2c0WQ9W8/SBrf1WuNMwkqRzWjgJinLFAoQwxBsHi4TdSVxPJOTQFnrVEOnOrHOFG6kjB+EJQoMImD9kggf+2/TkBL4/j1FDXLZ5lvlwU2sL2ldgmCSxXmqF0o1en3dygjLB2PEupvsWaeEWLF4EBvPX4ZCsXbM43pMgDfkklYYbXnXBacu/dYN/3ak9M+39kEiBI8iDPa1sHZFCy5TnccvO7uJV24IUSlFCHyKqOVASOVomELV1IrbXDwFOCEchArAIbjlvgAf+GwVT+7yU3DPU0zSULxDstQksdjIyYC0vXM5XzEhWWtugTdTXJwDtt1PT50bR5cMMxY6n1Vohe1z9k1lDmqwJYAn2QSsJJSvK2SyVlukOeTG6YR98sokvxwmHUBIRS2MQxkCpy6J8Ml3T0NI4Nb7Cim3yIBbW3QpUpDb30YKlakYcQRuiGotwoUbmrjs7BakkHAZcMoKjsV9EnHoAMLFw1uB6WjlXBCwdy0c7Gs9Z4APdxwStaHFD3SVXzN9w617SiAE++eAmHOMPhPjkV2R+nDguOnHEQY7W3j1ObO45vI5rF8aIowcVUliCloBC9zmpqkJOAiTkIzgX+8P8MefqeKpXZ6qCD4OuBPe3YaaJDPl871Ocla5vf5tW/L5PNFmIJbvmaXU8zezIM85mAnYiT3eO/XdEpqS4dx2bgpJrLjJ6ktVFi0XEmXJkVhxReJJsi8FvbHgSYAo4eQECCXWLYnwqf8+DSkJ7vhJkCRfpTQFyOqJ9iVKqJTcOMapSxu45ooZvPrsFgY6CTqKprERg5ABYuGAw8XEdAlFr4J1Z14+7fhLH9i7b1bgGOuYAGdBH5jrHqbY9eb3/ue1d33vhz92/+89PWgKB9ORi0gEkHp2xKFmjMN7WnhixAchwMd+ZwoOA+LcCAgTVCBUaIczDfIISvGDB3384V9VsWW3pyty2ikleltbWYdkq3OMY2kAmmmgCctpPEqFembqrgFyjrLYCH8WmbFHXXkunrfa86KdGXDLBMRpUYTlhNpFyhIawCrMIygSrVxIApgAEIG23ilPp1SdRJBM83QGEsZYOxzh038whd+LgbseDMBp/huYAk/bxGvrzQU8J8LbL5/Bu9/cQBwHiCIPc01H560TxJyhFfrgnOFffsDR3X9O1FvHm1euqh4GCsc6rOkFpd3qKHsQ/EmsW9e7b/HyFTun6/1Y0y8wWBUoMolOl6C7QNFZYCgXfLBCGbEs47b7yvjpVheOr3XwRBsX+sZTZ1KH9gWjuOMBH+/+VA1bRzwkBaFHA7cVis9ab3saWpvgTnJvB3wwH+iYz7th77fvM1IKgHn2+thnQNvofCY8byKYGVaci2za/VJSkCv7k/YwNE6omXtv127KpJaT6jpPq0DCmuYmTY2nZBCcQYYEq4Yi/O0fTeHic5pgnOtaTlXPqYi9SOmI2YYEQoFzV7Vw+fktSBlgZraMqdkKpmfLmK0X0WgFiLmDQ5MBntrVgZVD/ViyfMXOObpo348e3AVCvOcOcACgjOI7331iZO+e4Hdet2kD3nrZHNatnIMQAlVPoDcQ6C8IDBYkugMKwnwVIQNUIxmLc6WBHgNyAepJCIfg3x4M8J7/VcPWPR5khnNT62bt07nSWUkQWaWkXRps3rnMg7oN987Qk1wYPhPhhGXlT2S1Dc+TZH/GimcALxNwC2E5mxadSbaRjj+RdpVPvnnnvK61FFyfBOl8TpacAGogFlEglxSyRbBqcYS//sMpvOqcJijXVclSA91MicqoJgQgKuopQRFGAWbqZUzPljA9W8TMXAHNlg9GBX6xK8Q/fB+Q7pkY6vZ+p1D/+Qihx4XvsSmK+gHXII7mwJziWGuy8eOHHmy88sCPKAqshK6CQODqBjaQKDYJCBG4+NwWli9gaLWoGpJkLDeMU8kVAD1g94SDnzzs4bovVrB1xIP08pZ6vhxoQuOqeFjOKxxu137NBvX8RprH0sLb0BPr7wm6kd1+1qyFILmKpxf4lIebv2c6XkmSTFIwciGR2ZNBCjUgKunmYF4vFPjVKU0hIGCy3VUvFeVYClhOKJEQhp5QCZJQFXX8EAmcMhzhb/5wGn/+RYmfPuJj9xFH1XcmJ7PJBdZGywe27a/g9vtjXHW+j/GpMuYayiozKuB7HL4Xo6s2g2lewRxb8uO1p543Nj3TQK1aPO5hZcd9BoCP/MXHcN2Hzx53Ct7Mk8+QX7/5jiPo9H301oCSD5QLQK1E0F1lOHc9x3++ooG+DoowZgkIMuVoRIL6wNYxBx/7YgWf+ecydh90IV2K+VTEhOLtdsdKEvR1tNJOh03yTqzU2KSxj31vdZBKgz9pznH2OVZOsv3czD5TfaNzvpP3S6t6bH5vurC2c2rnZTMe1fG1ZcycDk/MfHgdyIHVFUpTtEx0FnrCmeVJE+u59lXJTjZLTk6iBQQh0dMpsPmsEP0DHE9vdzA+wZQptT+4Sa1wfMy1itgzWoRHioiiCmbrHloRQxg5aLRccOGCkRZ6F52NkK36owce23HPhWctPyG7cVwLniy6DkD5gc6ae+PrNuGqA6N7wQXQCiV8l6BUYOjucLBmKQERnRifnkExaCqua/o36ygmDYDtow4+8oUqvn1HAU1OFVrJ0W5Mn/lpKD4zoPU41CRbGpaz6LnjPp97k+RHbSuV5PhK+pTj8G4Vx8jQELNhsZTUmSTGhKePk+QrUxNJU0cSQoKYGX/aSTRRTNVjxMiHVF1ZKSCMoqJVFFNnqaKg0LJk6owCAKECZn6npCpfhMYSfV0cb31tA74L/I/PVbBj1FVNPm19lTqgzENHgYBwhgceJ5gactDdQVEpqOS+ZkiwYw/DsmUbccEZZ94oglUPgE+fMGxPGOCELMWWraMjQ0Ov/P2z129lY9173/CLpyLEsYty0UFn1UFvJ+C5Es2QocQdcGk4eKp5M09ixz4X1/1dBd++s4Am2oGbQeUmWxxcN6o31CTLuU3yjpxHTdo5lsdSTuy/wX5s4TtDWaz7BNfPhp9oQBt52Q73GwkxH7nMFikTK+/EUkygfTpqiggUyIXO9yZUnwhaWoQOBgkd8VSqDE07ToEkSVmEmPRdVdhsyzwUgBQcvKmafL754jogJa77QhU7x4jKX061UDAKFJhA0RMII+DwZARCPEhJ0elwNMIWto9RlLo6vveG0y74/ebs2O5CZfCED+/xWbq1Vq8axFNP37O7Z+H6xx/a1YunRmJQChQLDB0VoKMco1yI4Tk8oSMJsKkACySeOejgz79QwQ13FNGE7uZpQAyWIiRBmFWNq8HrQFMSohIzE72bHh3c+eSqLC+fX9yroEMyIM6E6XNcO3MJz+einJAFyWDe2ibJvoyKkge8/Rzd9UpIkgYFjXpid73KOZbctJiw1Jb8jE5pvYe62dtGnVEBPhEDBSnw65c0cN210xheEKr2WNKoLAJSApEgCGOCuZbE9BzH1GyMuYaKzq5YOIe3X1nEZReve3xkx4+eFbiBZ0NRzO/g9aFrYOCTa5aNLJubqL/FdeqolQk6qxyd1Qi1chOlYhOBF8JzIjhOBOZEiMHxs0d9fOE7ZXzrziJC017VgDghhDp3ATmrjtSxTMeMzK/QaU9NrIGzR1NPjvM3G9TppmXakT7/KCkox122EZ9HWWRyMbT2aSfUJGCJdJKwrcooRxNJVFII8+lVsx2TOpsEjITK6yFSJCF91dE4Deurk4wmzq5KplKadxqhJZBSwGMSb3l1HeASn/92BQ9vKajBtKKFOGaYJi78puliLOGwGL5L0VkFvKAftc7131y8ZM0ngf3P+piekJNpr6/8w2dxyeYLW6uXLbxl956RzR0lPjTYKzHY3cJA9xx6OmZQK8+iVKjD95pw3RZCcHz1lgLe+fEu/HxLgCjpXUJTQBOi7/O0hCVVuA7RabAkbXXMqNXnhGZzv9s5labN3LyCYpLdnzqKRivPt4iwHcZ0zEZKd7JFyCkFUuCaVySM3AnVbh9SZzK9sqQ+QrI/r11ifuAqc5E8yr705cYBzTqchJoop3Za03MdUudfSlA9XxNYuyzCr13UxPg0wdPbHUSxknOEkGgIihankMJQTYmC76Knq3ZP3+Jzr979zI7ZgYXnPmuAP2sLDgBvvOoKPPXko/V3vP0N4VOP/F90FMawsG8WlM1g62iII1MxXMZx6soIfX0cX7ulhD/9Yg2Ts15aYpa1U9bRtX+Z9Ign3BvISYHteXeqgMi21jnJUaHzuXdW90bqPLZxLDNYIrk/Ivv1jrUSq0cMBZHJa8xj25JLTdwTZ1XnjieZhbACQJBJAyFdM6AtuQqfp18rzTQUxK74Edqqy7SIAvq9CUk+o4mOwmid+l6A6RZsAt0ljk+8axKMCvzT98vo62tg7XIBRhn2TxWxa7SM2QMe6s0Y5WoNy9ZeEbYiUj/jrEueC1SfG8ABYPnypZBS/KzE1p43Pra9sPPgFG66P8APft6FkX0eWlEDH75mDEsHQ/zFP9QwORsAnm7lkPxyOpolrXSCDBFOr/+UpBmCSdNPG8w0B2yCTEnavEAPTS1vXgPPf4x2FtVYxXk+ZZuT4HjLVlSInZti/gbkwJ06pklBDZD0HLGDQMrzM4BLKQoB1AVTZp1NO9NQEmFlGlqc25Z67PZxFtVJT0zzGqjpE5yjoxjiz397BnNNgmWDMT701hitVgk7RkPc/lAdN99XwuRsF1atOaMxuHD4Z/QEAjovOMA9vwIpZz/UO7xZ3nT343/wxRtGgqhVQdUnWDdE0dkZ46KzOG69j2Fm1gXcAGCBVkigI1y6Ra9tzY2HbSPH8G3kJi4cy3rT7OO8Y5n22zi29c5kA1pRzDywMxSgHeCPAex0h3UobEDbwLdALrSYJ6QW9TTvTpu62lPaoCvYFUs2fd+J6R5rTlhLTjSJWdJyNmnC/Y21TqkJyVyRkSRLccEgtQJDKYckBOVSC2uXCNxyTw1nrvDQVe4AAcGlp7dw7qop7Jhc0XzNJRf+Naj/p12dx843eVEArn7Usnj3R797nQhXRueudt8f1w97gQe4joONG1ycsSzAnfdHAPMAVoTjenAIwEEQc6HSEgi3LLmx3NkDpdl5Skcw34k89uM8bclWybcL41sj3edFLUke3XmQP1cP03Ym7f2wrLMGpenFmu5X6a8ASeb0JMfULicDSbQzIuzJChRCCPW9TVEEUVVAquLHdi5tKOvpyLk8f5NyIARDFLmIuQMpKRjlAAgcTyCMfTy0pQ/X3+rivDUBHIfCdzlWLF0Rvmlz119WSt/9KKm8Q+B5rOcFcAC4cJUImdv/iajRCA8fnP7IyCin/V0M3TUXMvLhMAniFFF0PdQ8lRQVCWAqoqhzCrQ4EHLAVXngSeTFiMDaaiacGymnPmop2jH2pVFJZChGxnon2b1kPmWxTjq13/bSNBglefYgzz3ftu7GgsvcCZDsh6IjlGq+DcPDNfhB9LAnWObdzMG0//s00AOCJOvQOMxSl7VRIiwrrs8ZkxXKIjiOBHGAuAVEcx7CyEOz5YMLCsbU1LeCFIhiAup4GJ8k2LFPoqsaY7LpCq9j4UcGJ5b/1f6tk+HzxedzJzd6XX31m7Bm+Uxj08aFNy5ZfoqcmIlRLXEs6Gxi/0SIR0bKcNwC+osSfSWhbkWOsiMAGeKSs6bwwf9yGKevnAMVulzIVHiYKBx0I4IMsOV8KqKdSkZxQpw7y71JjmtntfEs2EnWJ85j1XZCT/A4HrPhD6xYip1hmGjc2WQr834mYmmek7ZS1u2L8xq4eY6kVlJWqpunWnxKSNSxUpbbcVSR+CPbHXz0KyX84CECxjhaoY/JmRImpkuYnC5hcraMRrOMtcMCPd1zODgNTM9y1EoRzjprnaTV4Rt/tn22cdHF/+H5wvP5W3AAKFUXYXCovG3f4c5rr7jY/0LA76dhPIlPfa2Aex/tRn8F6ClylHzAd9WZv6CX47Lzx3HleVPo7Yrx1svmcNN9BXz8ax2YqtPUc0I7nTsLamYpJu0pibbO9CjgnhfFzOVtIOf7Pqv1XPhK+yU1HUjqNROnTj1IGl9KM2teiXVCz8lRQXmpRXGRvKNJ11a1mVpZMSqKnvGjJi2o2anJSBUgoSYO45iek/j416v43r0V7N0foLOL4LXncrz2zDIgy5AS8D2OUtNFHFOcv3YCH3z7QfzNtxhGxwu4YvgcsW7dKdeGxYXb0Bh/QY7ZCwLwoeGzsXf3zvDsszZ+qSfYXhwbcz79mW9z3PZgL/rLLgZrEpUiQSkgCHyGUsCwYkhg0/oqyr6EjOtYsbCOt71hDnc/7OOWn3iAo3l5Qk2sqCUxSVLZNhAsA/aUS1ML3EdzKinN0RZbISE2TI89f+c58W+kQG37ejuh0IAa0HniqZwoQFQOCggo1dQE2tbqhkDU5ubGIyVIpzmY70h0jgqxpkVY0cyswCtAHY57n3DxtZuqGKuXQbwS4lkPP35YgrYcLFvooVyQKAYSpYKDZuhASoLLXzGOVmsMd/1iA7aNuu/9j79x1pee3rqLr1m//oWA5gsDcABYNLQMExP7+NI1r99x/66+mSf23FlZVJnFcI9ER4WhGFB9Y6iVKTorMWbmipjwOGoVdYnrDTj+66/N4c6HywitI5iqJ2kAJz/0Ki8VplU8Frhp1nLTdpYbKQe3LXzG2bSJu43C58/4MisXJciCOtmXdcqFcTKVRGJ9fqmnFmvZUOQ+MpM6ySqla9D8G7ppJ6VpspXU5W2AMi5hCHzhxjL21wPAK8DzfQwUJLoCiclpjn0uR62c4mBmzkG96aDZIrjsLILXXbpxxilv3rFvbJSvWb3sBTuGLxjAAYCwIh7b1vzexedt/G9RHX/9wx/+sMundXRUPfgegedQBL5EuSgQeGoURhwzxLGLmLuAZOgoqfwVY84IIdleglbOiT2dwYA/A+62EcosuOfJg3lKcgIWO+djPv8lkTraZP7fJMneZ2RWYreN0NFYo7kYdUXINNplaxTJ+Zm60pwox1MQAs61s2nlohjnQEhgYpZBEgeEOmrALlORzmYoMD0bQQiJuSaF5xD4HsH4NAPYIBatfuV4/+KN76Fy5nszrePneD+b9YICvKPaCQAYn5i6/o2vu8AZ6mOf3L397t6oNQuAggsVNSsGAoGnWr6ZHyQti+KpZwVlvR2iw/Ia0HZoPunl3Q7cOc6dhOANeBNLTZL87HngzqgnR/MqkUoauedIw3OPszKvNNjOXRASYcmof7pO0ga5TLBLEuCpiKOiJ8TU/Zqx2snZmSI9nbCgwM2RTmxTY/5E2i0heS5AktHMFGYuPRdAK5KoNwUkYqCejg/s6enEuRdsPtS3eOOfhFF8faG46IWEI4AXGOBmdXXW0GrOfPmCCzbSkrPn44dHH+j1XI6DEwU0mg4CT1VqeE7a9k39grb8oBCoAJ2C3MlQlRTcToamkDTnxAY3nZ81mO81mPzXFrgN6PKRy+TTGouLY/DoE1iEtN/Ov6+E6gOegNzery1D0ibC9DLRTiglAChJu2FRnVarwj+aAlE4ELoDlbqGcT2WkHMJRikEJxCM6nTZ/FFR3D8WQBgTNCMJP5LwXIlGKDE2IVDwCM7euPLQqRvO/sD0TPTlrq7aiwHFFwfgAOAHFXz3xu9+iaDCPbfzf9312EiXjHws7iXwPY5iEMH3IjiOKl/L/dTQgjgcXbXj5EDNmMxw8swsHUtFMXQkA2zjeCIPbKsqBlnAt1tGuss6oThhlGfcunlPl0d/oS54SEBuAr9mv95OuwbojEGCpMSNEj0oSkKN9YPSuU0/NZ5UwuvjogcgEC0pci03Sn1CZL+NBJdAyAkaEeC2gMCV6HQo1iyUGB6eQixXjp+2uvq+xx/70T9esOn1LxYMXzyAA8Abr3oj9uzZ+k/15ur3f++nt3SRuVGcsligs9pCX1cDjEUAOExfwxQtKjeckXQisUP1TCAK6952Msn8wE4m468N19Y0FFZ43gZr1qIatNu/Y3sg50PrmXv7LTJXjPbrKKJKAmZzliVvL3MUS0LRk+S7K26u1Bi9DQP07P+hmKIh6kq6pUSCUwZOBbg1mpDodFxzUnAJNDlB2KCYaUlIIlArSZR9gteev2Rm26EF796y+/A33vn2//JiQvDFBTgALBhYGTdb0W+fuebJpT1F8veLOx8NKqU5bNkXYWEP0FvzU688MZ0qhdahFJ6ZisZUlyMb3Aldsfi2TVOOliVoV8vb1MOALSMKtkFYe7otE204E4Fsd1DI/E2JrExp/62dE2uuHomSkiQ7yeTz2UErSUxevNH4NaEhKbjtPitUFyMouNJUdycm9iD0SHAGLhlYJr9ApTY3OdDTOYfFvS3s2F3EkVmC5cuXNwVZ8I6rNxe/PXYofF5h+BNZLzrAfYfIB+/71r1XbFp4/9ZnZhuP7Fn8tdvvfzJ44pkaXn+Wg6svEuishpBuaDktKg/c1Z64p8HtMtULyFhudZ8HNzm61t2GdwOptZtHNdCGKJickeSx5rcGAEgfE23h5VGRnq48mHPJlEd9ubA+oG3VlTJoGvgYemKOgwoIEa4UKKk/oyBKLZQSoKaYQWd7Sl2apii8BOUMjOu+KMI4nNB+E0GBSfSVBa5+FcflGyfw8LaDmInObhYKPW996pmhGx/dcZC/6x2/+WLD78UHOACcdf7V+Mo/f4UvGtzwnaDE316pBv/o8v1FjwSYnGmiUppSzgpUPSAoAwNDwCQCJuE7Ej4DPEdbcQowRrIauJbEjg7sdjKgpQC0+dz2ZV/a+3KZfbaIYixi4tiZ92hjz/N8P30s531WWPdANrRv9zFM1EL7pDWWXQNdEKJrpmSSNyOp1JmDioZT3btQCAHBKBxTuWMipFSCMQeREyPmqkhF6KxESgh8KtFVAFpzNYQNifXLe+pHGv3XnP3qS7/z9IO3y1dddM1LAb0XODJxjPVbv/FbmJx8Wl77wblvLV+49B1vvmTp1Kphjq6OaTgsghAUUUwxdsSBAIPLKAoG3I4qZvYY4DmA66rRhg5TQHcYAbP4uBoWSiz6khu+avYZB5Xo1sLmnubkwTb0IFsAbMLnMj0ZZBZw+ZWh9LZSg6xac6wUAbvJj8jdkvHYyY0kOSimiWssiB6tDcTcOI9qO471javfJYz0LaYIIwet0EEUMUSRgzh2QMAw2C3U76Fz6A7MxNi2V2DnwTVT5cr6d7zhVYVv/fwHt75k4AaeQ8na81n/8o3v4GMf+U9415u6Hu9f0Dla7qxduHX3wWKzLtFRASTq+PDfF7B9bwfKRRednkTZAwqeROACnkvgOiShKwrcyAA5oSyUJFY9+5iAWI6pbeXtUH47biDnZUTlu1xle5Akj4nR2rP/n90yLj0B5bygVAbouU/QbsKDCcBkipHNc5EMC8wUKSfJW7ALiJEkYEndo1AIklTvEM3FHUego9xCV2eE2+7tgEt9LO+PsPE0H2ecfsYR1x98z8Pbiv8U0BivuvSalxJyLw1Fsdd7f+9teO/vAY/tnPpqB3McuX/oE1P1O3sb4RYIFoMyAsYYig5Q9CQKnkTBU0larpNybptLZx7Pu7Tn9lGSowRtUlsl9OVZ8Y3UUufD5zIJaACWNQdSkBGZ8tPcylvodjfT7sL6aEh7FZqMQSujENb30v9JhvJY9I2avxM1m9IMq0pabFAjDyr1hTEGRiU4N4OsJBzmwg9dRLEDziMUvBBcNrBhuBvvveaiQyvWnvl+gH+VkD588KUGG04CwM06dVkNUavxf1a84QJyZP/Mx2+982BvwWnitefFuPdpgrIrUfYligFQ9Al8j8JlKYjTDKQ2aa05yW+eY2nJgiQH8IRW6A3OSSJ/2SAnMPENDXJqWUmSgp3I+eAmbXYoSjI/9TdPT5IytKQsjYBLHaxpE04wUU3jtJqYA6WZ+JTlj6T5K1Skn1UivfKEDlUFK9rXCLwYsw0PN90TYM3yFlYsrOLU9a881D+8+QMzs/L/VCvPvSLn+a6TBnAAcP0CpDz4pc6Bc+PeRZVPi+k7OpeUn0CtCHQEApUCUC5QFAMFcIcpl8FM3DI/qJ1bYh6bZVuzTPTS6MRGnSQmwVS/b5IOoyODQs9sFKkVN8oEqJqjLmk6iUEpLZZemFtZBcf6bEnVv7ScZpm8DSEpj064N1c82ga4/f7SMgBGSZG8vR+QfBaKxMJLw+m5Lv52JMJI8XcQ6HmpPkZGGZYtXIF3/cZFE+XeM/74yHTzK0sGO04mxE4uwAGAkAXgEb/+ss3l8acf37v8zoeH/rLbe9TtKgnUSgzlIkMxYArgDoXgEo0WRxgJCB2RM2H4o0l8eWudb/dgrgL62cryEgJAJCcSF1KBSMjE8hmLBujJvLnml/ZnaP/ds+BO89tlwslZUgqm+bOQiLXJl1I7ixbA0yKE9F7mOX3uCpf9jGlGpRkeIATQDAkaLXUMXIcg8FSzHtVmWUCKMj70ztOj+5/ofl/fovN3VCuF7/v+S6ZhHP0Yn+wPYNb1398G6fd6ztzWaw6Pbv38o7/4BaEkorWyq1IsC0DBBxgRGD0UY/8R5bErp5PqPOfUAtt82XxJSg1nn9+vxEiJgOG1AlEs0GxxNFoCzVAi5vmrhkkR0KqNli5psp3uNw6ww5QPwZi6JcEqk3rAFLAcJi2gy+QEVA3hCRohQaNJUW8BUaROwBTc8yuXkjwowCrJS1eiyOj3oFQ58q6WZkePSIwdikAJEPgq7bkYEFRLEl0drli1eq1cvnro2u4FA/8ITIeEvOJkQwrAy8CCm/W2163Elqe3hMVi3/U7auFdPmtdHTYO/8/Z6UMIfKBWFljQ2YLALO57kqFZL6CrCjiMwfMoGNXtyoS0KExqm4hl6VPNvF0zH/UDC6lOmlYkEcU8Abh6L2NpiT6AipKYKnTbRTC83F55RSSx4DTXGZeZewV2QynimIALhlnd/DSM1PdN1Rok+TaUprUNVOd/EytBC9A0R6TSIqCbjnmA5wEd1Rh+YQr3b3FAYwe9NYooEpiZFSiWB1Dt7v9wsbb8W81w0Z5dO5vhsuUvD3ADL6EOfiJr9SmrsXhouDE7e2Tr775t4ydaweBH3NoQLxQYOistLOqbxOjkJO7f6oJz5eX7nrImpaLi6g4j8wI9WanOzjg07cIAxwFcFwg8oBgAlSLQVQPKBYKpusTErMBsQ6LRkgh16WjMFegTrVnC0sVzXKXdMg6kTR1omt/uUAnXkfAcAd8VKAYclWKErmqIjkqIejPGxFSM2XqERoujFaqrTswFOFcnOufIfD67OX5GRxdAFAONpsBcnaPeFGiFar/jCJx9Sh19vVMYOSJxeDqGJASbNg7yizfVPvL4njd9Yu/eA1sXLV7UWLZ8xcmGUWa9pDr4ia6vf/0bCBZvln/yrt+865tf/5rvMnJOwTngbB87gI99vYKaG6C3CnRWXHRUTONPCdeBAmCs3ofY/1oBHkMbHEMTLID7rkTBlygVBPq7InR2zuH+rRF2H3QzVk+9s6nCt1SZxHKmwaO8Dp/w6yTVV6aBKp1vw5iE40i4jlBBLpcj8GIUCzF6O+dQD2dw2wMU41NE9wyUiaRpf0LA0I5sbk7i/1o8LookxqcizNRjxFz5IZ5LUQwkKkWJ808dx5OjDJ4zgCsu2di67PIrP7V05eY/+8pnlskzz3vxw+7PZb1sKEp+feBdb0GjPoN6k3xo7YbNlEbd5/30G/9EF9Qq57nhuFMIfJSLDF1Vif6uCAu663hsp4Mjk762ylotkNIyoiTlx8zqXahB7jIJT2vv5UKM7o4mFi44gu2HYnzqGwsBwtAhRUJ9CFI5T5A0cQnHMdz2IhbYzDh0A36HSZVk5nD4HkfBj1AqhOiqTeFLdxDcu6UDyzpVJncxMG2MVTsgtdL2Dur9s+kMiVNKAN8BygWOA1NNbNnH0F8TEALwPYLZOsHhCQdLh5bGrzxD/mTlKVeKzWev/Akh+NDU1DRqterJhstR18sW4ABQKFbM5ge+9NUb0ddzReUtl8/+7x07dv+6K4/QainGgk6OpQunMXJkCjf/tAonphha4CLwVAJQFHIIoRxSMJkBdLYSSMLR+S6Bx1EMVM56pcjRUWxhrtXClFeCx4jVrlmCCQLG7Ww8C9wnCnJkVRRKTK6HhOOoSKHnxvC9CMWgiUpxFlONCiYbDHMloNiSYEyAUapaPwqjAknognoAymdQ9+oYCA5EuvNI4AHD/TEWL5rGnkkHO8aqICSGyyS6amVUOvsFKQ7d8IaLKr8r+OhMtXrWyYbHCa2XNcDt9dtvvwqPPrFzxvODdx9cP7Z9ZMdj6zuKE1f1lx/C+OwUPv3tGsYPFXDaMEXgU1TLDK7LsfdAjKlZiXKRwXWV9fYcRUlMph1g0lWVM+c6ihK4jspVL3oCgReiERXRcgl8JuEKgOnSKxXOlhDMCoHjxPBN7HuLhxvHkjEJhwm4TMBzOAIvRCvmaIQUAgRhDIRq1CSEq5On9HsqrVzAtF+jlMB3CTxXoloSGJ+WODwl4TIKRhlm6g5OXeHh9980jr/4isSTIwWsXb0S/YO9Ny5dferjAwMLPtNstmbKHSc2PuTlsH5pAA4AG9YtA4DDRw7t+7NT164cDmceB2+Sq67/6kPYNuLh9EUEC7pcdNcc9HQILO6fwkwzxJPPVLDMF6BE9f8s+Cp5SwigFRJEenqp0OmllEowRzXtp1TgnLUhzl3dxD1PAFFBBVpiQeAKOc9xs2p/7YrFZKcVJE0TsoyjCUNT7D4vUreJlmBUoOBzPLCF4uGnXEgBxFKVhnFpAlNEpzsQxLFM4gUuV3WSwmdwHWCwp4WdBxt47BkXwz0epFSh+EqhglXDk/itK0JsPXAhzjl3/Y0XbVz1niOTcyNO8MLXTL7Y65cK4GZ19y6EFAdG0LHmj8dG4+s3XXDa75cLOy+Mp3di+eCM0sHAMNBTR7EYYbZZBaTSzIuBRK0sUC5wNFrAjgkGLigKAYHn6nRRIpVcx1Q7spH9FM/spyBUW2ukc+ONxGY6tKbsvE1agPkCeQnRLmYipjAhvamWDwKEqkDLcD/H4v4Y2/arEy2Z0KelS99lKAQUQsR4Zkyg0ZQoBYq2FANVjlwuRphr1XFgoozhHuDwdITRwy2USx1YvW4drnr9oruf3tv1mcUL1z+6fzIaWbVk8cn+2Z/T+qUEOAAQ2gcA27mQ268exOOBwMCSheu/ODb28Iobvv8IW72wiD0Hgcd2OipZy1MgrpQkumsRBnpmsPdwE4/s6MJAp4vuDgcFTztk2no6VIBRjmfGKEb2u/BLWRklmy6b9t5OZb9sVuH81+UDUnIeH1eToZFk+0UxwZJ+gSUDIaKHOSLugOteKZRQfRJT9HYCA70NPDISYfSgh8FOAkpjFAKGZkjRaDGcvjzEE9tCFIMiTl1Th/TP4BvWnLHdK7Xe2bfwwrG+hdhqf+5fxvVLC3CztOO0NWxMbRUiviwGX/i2/3TuDXMH7q0enKiXduyLsaxbcfJqSaKrEmGgew61yjj+7hYP20eBghOjGBBERTe14EzAcTgcJ4bjSIB5cAiBq5UOQlIdmUtTWaPQrfqHppJkPmHK6M7cZPIJ0yQzVVIYtf+fdBoxFwxx7IBHHOAxQuGmeSgEYI6KB3RVY6xc1MAV503gk99YADKpGqEGfoRJ38PYYR+L+j0MDxUx0L9q7sorz5ken268uVpZvo8xZ+SXHdhm/dID3CyvUMNMXYysP/W8PQcONNd1rGptPDx1xt83sTtuTu7uajWnKrVyCz0ddVTL03hoZ4S7Hu+FjAjmmhJhKMF1khSjEi5TstyR6Rg/fqwMwFMFF7p8jllJWJwDgqXVMcQO1TMDcisNQKad0ghRr+cOktIyxpQPQJku4BWq8CDmDDF3IKSLCze0cMtPGphtBYiKOhcFqsuA70mUCxF8L8am9QL/umIKj2zpgcuAUoGiXASOzPXOrO55xfg1v7HCmZjxfqe3Z8X9/YPlKYALQn5lYPHyimQ+31UpUniMiEV9+ybKXQtuK5Sqq77w5W8u/7U3Xf3RlatPf6JvQe2RGEFz30QFf/XNHgxVHXR1NjA+q6J+FFp7dgUCLwZjTdz3BMVdj9TgOC4KDhA4qgWC7yqw1kOCVgxEPC2yZxRwTZ6MQ+E4Snc3ujznEnEsEcUSkX4t5yRpOOUwAd/lKPoxCCFohQ6aLRdh5KhqmsjH5g0cG9dPoSVj1COKKFYnioSSAGvlFg5MNjF6oBPvuSrG2mUeBhbVml09Cx65cNNZT1x51a9/9NGff2N5rVpdNTDYf9ujuyYnCCG/UuAGfoUsuL0IWwGoXgf10X274TjOX1LK/rJJTmUhK3++uza16oLTRzedMTTKHn5mHD/6GYEUHK4jUAoUsIqFFraNxrjuKz04OFNDsUDhUQHPkSgHQLVIASYwciTGeN2Fw4Ru+0fgMArXpToDMu0+FUYqHB5GilNQCsRCdxBwFFWhVML3BDoqTcw2Quw7VAWBh1o5gueq+se5uoeOcgHX/dYMdhycxv79Xai3VLZfs8URtiSKAccPH6tgz4EB/OYVHfwdVy+/55TFxa1HJuaunWuA+36Ay676nBwaGqqf7N/rxVy/kgC31+DCISD14+KxA5O/y5jX+UfD4x8bG7nVG5kUfMPqrlcsG3LO7O86jMA7rACIJm7+qY+9h7vRV3UwU+eog4CWgUqBYnGfh7PXz+HA3CF89tt9aIQUXQAcR+fH+BSFQAWUjPTYDAUmplXiVpIayyQgAIdSxL7SEQt+DMZmcf2dwJEjBGetdrB0EOgot1AKIviexKGJDvRV63jtmdP4398rIeISh6clumod6FkwCOLVf+4VJx/qX7icrVh/aXjegu4P8qg14XgdJ/sneUnXrzzA82ugrwMAJgD8VwC47Y4f4dzTcSEl/NIlfeNvnq1PrG41OJ7edz/u/kWAdf0MXeUWgtIcRg4zxFEZga/Glvd1Mgwv4nDcJhpRCZQCvqu6p5aLQK3MUfA5xqdcdFQ4IlnHQ9sAGbuolQgOzwgUPKHoEXVQDCi4IAg8jkg08dMtXahSiiOTAv3dDIxx7Nxfx659DopOGX3dVbxh4zS27qE4a90r4Bd9+E5ly5o1tRuKFe/213TLu9ef9kr86R+c7KN+8ta/O4Dn12Wv2QwAd4vo0N0Afjw5Ey1v1qfEAzdtFaefsmTpeesG3j87OYoz1jSwc+xp/O03ZhFGZRR9wGURwAkW1Oo4crgIhxFUShRdVaW3L+hqohlPY+RAF7qqBKViA5MtFxXqY3hA4sBMHbNTgcoLEWq2UVcVIITjwCQHlw6aocDhySbCFsH+8Tnc9OAASsEpWD/MMFBdhK7qtk9sOm1s1yUXv5L2LeikzdDdAeC2ocGuk31oXxbr3z3AzaJuLwDcZh7PTh+G7/sd+0bHfrJtq4+hRXG0aMmyP0AxeI1PXCwd4CjKO1Cvd+I/bArxL7cH6KgyDC4Q6K4cxq7RAob653DLQyGe2RVixSBFyYkRxQROILBiYYiQzuFf73WwfFBi58EQkpSwdGEBlDXxw1/0oMDK6KgVcfll52HlkAPPb+JM6dwxM4FP9yzgbs/AOnT2XHr31QOtyUULe072IXxZrv8P8KOscrUHACYB3AQAR8b3gRA8fc4Zos+lRFSLTcyM/gj1ehHD/RKB7yIMebR502nXxdHe18+hHC0YaOGUFQJdlTIWDBKUa3VsOpOiq1jE4iUcpDaL6TDAK1ZQVPdxt7vafTMlT15HqOcenCih6HmoVArYcOo6LOjy4LiCvrbXO0AIdg0P9p/sQ/RLsX411PyXyZrYfxcISN+RI1tqDz1ZlqeuiPDkCMfogRJWDVGUK008up2ioxjglCGBPeN1PLXLxfolBNv3c9LfMzwlpTzwlqsuPNlf5Vdm/T+kYlTqC/NLRQAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxOTo0Mzo1NSswMDowMBhMJ0UAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTk6NDM6NTUrMDA6MDBpEZ/5AAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 70529437
{'hecke_orbit_code': 175640385534559783, 'n': 1, 'trace_an': 5}
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id: 70529438
{'hecke_orbit_code': 175640385534559783, 'n': 2, 'trace_an': -4}
-
id: 70529439
{'hecke_orbit_code': 175640385534559783, 'n': 3, 'trace_an': 0}
-
id: 70529440
{'hecke_orbit_code': 175640385534559783, 'n': 4, 'trace_an': 18}
-
id: 70529441
{'hecke_orbit_code': 175640385534559783, 'n': 5, 'trace_an': 0}
-
id: 70529442
{'hecke_orbit_code': 175640385534559783, 'n': 6, 'trace_an': 0}
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id: 70529443
{'hecke_orbit_code': 175640385534559783, 'n': 7, 'trace_an': 35}
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id: 70529444
{'hecke_orbit_code': 175640385534559783, 'n': 8, 'trace_an': -42}
-
id: 70529445
{'hecke_orbit_code': 175640385534559783, 'n': 9, 'trace_an': 0}
-
id: 70529446
{'hecke_orbit_code': 175640385534559783, 'n': 10, 'trace_an': 0}
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id: 70529447
{'hecke_orbit_code': 175640385534559783, 'n': 11, 'trace_an': -42}
-
id: 70529448
{'hecke_orbit_code': 175640385534559783, 'n': 12, 'trace_an': 0}
-
id: 70529449
{'hecke_orbit_code': 175640385534559783, 'n': 13, 'trace_an': 34}
-
id: 70529450
{'hecke_orbit_code': 175640385534559783, 'n': 14, 'trace_an': -28}
-
id: 70529451
{'hecke_orbit_code': 175640385534559783, 'n': 15, 'trace_an': 0}
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id: 70529452
{'hecke_orbit_code': 175640385534559783, 'n': 16, 'trace_an': 74}
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id: 70529453
{'hecke_orbit_code': 175640385534559783, 'n': 17, 'trace_an': -238}
-
id: 70529454
{'hecke_orbit_code': 175640385534559783, 'n': 18, 'trace_an': 0}
-
id: 70529455
{'hecke_orbit_code': 175640385534559783, 'n': 19, 'trace_an': -36}
-
id: 70529456
{'hecke_orbit_code': 175640385534559783, 'n': 20, 'trace_an': 0}
-
id: 70529457
{'hecke_orbit_code': 175640385534559783, 'n': 21, 'trace_an': 0}
-
id: 70529458
{'hecke_orbit_code': 175640385534559783, 'n': 22, 'trace_an': 358}
-
id: 70529459
{'hecke_orbit_code': 175640385534559783, 'n': 23, 'trace_an': -152}
-
id: 70529460
{'hecke_orbit_code': 175640385534559783, 'n': 24, 'trace_an': 0}
-
id: 70529461
{'hecke_orbit_code': 175640385534559783, 'n': 25, 'trace_an': 0}
-
id: 70529462
{'hecke_orbit_code': 175640385534559783, 'n': 26, 'trace_an': 310}
-
id: 70529463
{'hecke_orbit_code': 175640385534559783, 'n': 27, 'trace_an': 0}
-
id: 70529464
{'hecke_orbit_code': 175640385534559783, 'n': 28, 'trace_an': 126}
-
id: 70529465
{'hecke_orbit_code': 175640385534559783, 'n': 29, 'trace_an': 44}
-
id: 70529466
{'hecke_orbit_code': 175640385534559783, 'n': 30, 'trace_an': 0}
-
id: 70529467
{'hecke_orbit_code': 175640385534559783, 'n': 31, 'trace_an': 60}
-
id: 70529468
{'hecke_orbit_code': 175640385534559783, 'n': 32, 'trace_an': -710}
-
id: 70529469
{'hecke_orbit_code': 175640385534559783, 'n': 33, 'trace_an': 0}
-
id: 70529470
{'hecke_orbit_code': 175640385534559783, 'n': 34, 'trace_an': -482}
-
id: 70529471
{'hecke_orbit_code': 175640385534559783, 'n': 35, 'trace_an': 0}
-
id: 70529472
{'hecke_orbit_code': 175640385534559783, 'n': 36, 'trace_an': 0}
-
id: 70529473
{'hecke_orbit_code': 175640385534559783, 'n': 37, 'trace_an': 312}
-
id: 70529474
{'hecke_orbit_code': 175640385534559783, 'n': 38, 'trace_an': -280}
-
id: 70529475
{'hecke_orbit_code': 175640385534559783, 'n': 39, 'trace_an': 0}
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