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mf_newforms • Show schema
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{'Nk2': 580, 'analytic_conductor': 0.2894577073271414, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 580, 'char_degree': 12, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 30, 'char_orbit_label': 'bd', 'char_order': 28, 'char_parity': -1, 'char_values': [580, 28, [291, 117, 321], [14, 7, 25]], 'cm_discs': [-4], 'conrey_index': 127, 'conrey_indexes': [127, 143, 147, 163, 363, 367, 403, 427, 443, 467, 503, 507], 'dim': 12, 'field_disc': 1157018619904, 'field_disc_factorization': [[2, 12], [7, 10]], 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 28, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 1992881603140, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], 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mf_hecke_cc • Show schema
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'conrey_index': 507, 'dual_conrey_index': 143, 'dual_embedding_index': 1, 'dual_embedding_m': 2, 'embedding_index': 1, 'embedding_m': 12, 'embedding_root_imag': 0.9009688679024191, 'embedding_root_real': 0.4338837391175581, 'hecke_orbit': 1, 'hecke_orbit_code': 1992881603140, 'label': '580.1.bd.a.507.1', 'level': 580, 'weight': 1}
-
mf_newspaces • Show schema
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{'Nk2': 580, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.2894577073271414, 'char_conductor': 580, 'char_degree': 12, 'char_is_real': False, 'char_orbit_index': 30, 'char_orbit_label': 'bd', 'char_order': 28, 'char_parity': -1, 'char_values': [580, 28, [291, 117, 321], [14, 7, 25]], 'conrey_index': 127, 'cusp_dim': 12, 'dihedral_dim': 12, 'dim': 12, 'eis_dim': 48, 'eis_new_dim': 48, 'hecke_orbit_code': 1992881603140, 'hecke_orbit_dims': [12], 'label': '580.1.bd', 'level': 580, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 29], 'level_radical': 290, 'mf_dim': 60, 'mf_new_dim': 60, 'num_forms': 1, 'prim_orbit_index': 30, 'relative_dim': 1, 's4_dim': 0, 'sturm_bound': 90, 'trace_bound': 0, 'trace_display': [-2, 0, 0, 0], 'traces': [12, -2, 0, -2, 0, 0, 0, -2, 2, 0, 0, 0, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 2, -12, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 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mf_twists_cc • Show schema
Hide schema
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id: 21787557
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 507, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1992881603140, 'source_is_minimal': True, 'source_label': '580.1.bd.a.507.1', 'source_level': 580, 'target_conrey_index': 507, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1992881603140, 'target_is_minimal': True, 'target_label': '580.1.bd.a.507.1', 'target_level': 580, 'twist_class_label': '580.1.bd.a.143.1', 'twist_class_level': 580, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 21787558
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 507, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1992881603140, 'source_is_minimal': True, 'source_label': '580.1.bd.a.507.1', 'source_level': 580, 'target_conrey_index': 507, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1992881603140, 'target_is_minimal': True, 'target_label': '580.1.bd.a.507.1', 'target_level': 580, 'twist_class_label': '580.1.bd.a.143.1', 'twist_class_level': 580, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 21787559
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 507, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1992881603140, 'source_is_minimal': True, 'source_label': '580.1.bd.a.507.1', 'source_level': 580, 'target_conrey_index': 43, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4507585373801300, 'target_is_minimal': False, 'target_label': '2900.1.cg.b.43.1', 'target_level': 2900, 'twist_class_label': '580.1.bd.a.143.1', 'twist_class_level': 580, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 21787560
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 507, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1992881603140, 'source_is_minimal': True, 'source_label': '580.1.bd.a.507.1', 'source_level': 580, 'target_conrey_index': 43, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2611356893764, 'target_is_minimal': True, 'target_label': '580.1.bm.a.43.1', 'target_level': 580, 'twist_class_label': '580.1.bd.a.143.1', 'twist_class_level': 580, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 21787561
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 507, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1992881603140, 'source_is_minimal': True, 'source_label': '580.1.bd.a.507.1', 'source_level': 580, 'target_conrey_index': 507, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010566525881172, 'target_is_minimal': False, 'target_label': '2900.1.bx.c.507.1', 'target_level': 2900, 'twist_class_label': '580.1.bd.a.143.1', 'twist_class_level': 580, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 21787562
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 507, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1992881603140, 'source_is_minimal': True, 'source_label': '580.1.bd.a.507.1', 'source_level': 580, 'target_conrey_index': 43, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2611356893764, 'target_is_minimal': True, 'target_label': '580.1.bm.a.43.1', 'target_level': 580, 'twist_class_label': '580.1.bd.a.143.1', 'twist_class_level': 580, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 21787563
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 507, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1992881603140, 'source_is_minimal': True, 'source_label': '580.1.bd.a.507.1', 'source_level': 580, 'target_conrey_index': 43, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4507585373801300, 'target_is_minimal': False, 'target_label': '2900.1.cg.b.43.1', 'target_level': 2900, 'twist_class_label': '580.1.bd.a.143.1', 'twist_class_level': 580, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 1}
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id: 21787564
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 507, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1992881603140, 'source_is_minimal': True, 'source_label': '580.1.bd.a.507.1', 'source_level': 580, 'target_conrey_index': 507, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010566525881172, 'target_is_minimal': False, 'target_label': '2900.1.bx.c.507.1', 'target_level': 2900, 'twist_class_label': '580.1.bd.a.143.1', 'twist_class_level': 580, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 1}
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id: 21787565
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 507, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1992881603140, 'source_is_minimal': True, 'source_label': '580.1.bd.a.507.1', 'source_level': 580, 'target_conrey_index': 27, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2611356893764, 'target_is_minimal': True, 'target_label': '580.1.bm.a.27.1', 'target_level': 580, 'twist_class_label': '580.1.bd.a.143.1', 'twist_class_level': 580, 'twisting_char_label': '29.27', 'twisting_conrey_index': 27, 'weight': 1}
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id: 21787566
{'conductor': 116, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 507, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1992881603140, 'source_is_minimal': True, 'source_label': '580.1.bd.a.507.1', 'source_level': 580, 'target_conrey_index': 27, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2611356893764, 'target_is_minimal': True, 'target_label': '580.1.bm.a.27.1', 'target_level': 580, 'twist_class_label': '580.1.bd.a.143.1', 'twist_class_level': 580, 'twisting_char_label': '116.27', 'twisting_conrey_index': 27, 'weight': 1}
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id: 21787567
{'conductor': 145, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 507, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1992881603140, 'source_is_minimal': True, 'source_label': '580.1.bd.a.507.1', 'source_level': 580, 'target_conrey_index': 143, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010566525881172, 'target_is_minimal': False, 'target_label': '2900.1.bx.c.143.1', 'target_level': 2900, 'twist_class_label': '580.1.bd.a.143.1', 'twist_class_level': 580, 'twisting_char_label': '145.27', 'twisting_conrey_index': 27, 'weight': 1}
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id: 21787568
{'conductor': 145, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 507, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1992881603140, 'source_is_minimal': True, 'source_label': '580.1.bd.a.507.1', 'source_level': 580, 'target_conrey_index': 607, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4507585373801300, 'target_is_minimal': False, 'target_label': '2900.1.cg.b.607.1', 'target_level': 2900, 'twist_class_label': '580.1.bd.a.143.1', 'twist_class_level': 580, 'twisting_char_label': '145.114', 'twisting_conrey_index': 114, 'weight': 1}
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id: 21787569
{'conductor': 145, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 507, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1992881603140, 'source_is_minimal': True, 'source_label': '580.1.bd.a.507.1', 'source_level': 580, 'target_conrey_index': 143, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1992881603140, 'target_is_minimal': True, 'target_label': '580.1.bd.a.143.1', 'target_level': 580, 'twist_class_label': '580.1.bd.a.143.1', 'twist_class_level': 580, 'twisting_char_label': '145.143', 'twisting_conrey_index': 143, 'weight': 1}
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id: 21787570
{'conductor': 580, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 507, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1992881603140, 'source_is_minimal': True, 'source_label': '580.1.bd.a.507.1', 'source_level': 580, 'target_conrey_index': 143, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010566525881172, 'target_is_minimal': False, 'target_label': '2900.1.bx.c.143.1', 'target_level': 2900, 'twist_class_label': '580.1.bd.a.143.1', 'twist_class_level': 580, 'twisting_char_label': '580.27', 'twisting_conrey_index': 27, 'weight': 1}
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id: 21787571
{'conductor': 580, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 507, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1992881603140, 'source_is_minimal': True, 'source_label': '580.1.bd.a.507.1', 'source_level': 580, 'target_conrey_index': 143, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1992881603140, 'target_is_minimal': True, 'target_label': '580.1.bd.a.143.1', 'target_level': 580, 'twist_class_label': '580.1.bd.a.143.1', 'twist_class_level': 580, 'twisting_char_label': '580.143', 'twisting_conrey_index': 143, 'weight': 1}
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id: 21787572
{'conductor': 580, 'degree': 12, 'order': 28, 'parity': 1, 'source_conrey_index': 507, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1992881603140, 'source_is_minimal': True, 'source_label': '580.1.bd.a.507.1', 'source_level': 580, 'target_conrey_index': 607, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4507585373801300, 'target_is_minimal': False, 'target_label': '2900.1.cg.b.607.1', 'target_level': 2900, 'twist_class_label': '580.1.bd.a.143.1', 'twist_class_level': 580, 'twisting_char_label': '580.259', 'twisting_conrey_index': 259, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1078025
{'charpoly_factorization': [[[1, 1, 1, 1, 1, 1, 1], 2]], 'hecke_orbit_code': 1992881603140, 'p': 2}
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id: 1078026
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 1992881603140, 'p': 3}
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id: 1078027
{'charpoly_factorization': [[[1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 1992881603140, 'p': 5}
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id: 1078028
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 1992881603140, 'p': 7}
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id: 1078029
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 1992881603140, 'p': 11}
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id: 1078030
{'charpoly_factorization': [[[1, -8, 39, -84, 82, -40, -1, 22, -4, 0, 2, -2, 1], 1]], 'hecke_orbit_code': 1992881603140, 'p': 13}
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id: 1078031
{'charpoly_factorization': [[[-7, 0, 14, 0, -7, 0, 1], 2]], 'hecke_orbit_code': 1992881603140, 'p': 17}
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id: 1078032
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 1992881603140, 'p': 19}
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id: 1078033
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 1992881603140, 'p': 23}
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id: 1078034
{'charpoly_factorization': [[[1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 1992881603140, 'p': 29}
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id: 1078035
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 1992881603140, 'p': 31}
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id: 1078036
{'charpoly_factorization': [[[1, 0, 5, 0, 18, 0, -29, 0, 16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 1992881603140, 'p': 37}
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id: 1078037
{'charpoly_factorization': [[[1, 8, 32, 42, 26, -2, 34, 34, 17, 0, 2, 2, 1], 1]], 'hecke_orbit_code': 1992881603140, 'p': 41}
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id: 1078038
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 1992881603140, 'p': 43}
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id: 1078039
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 1992881603140, 'p': 47}
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id: 1078040
{'charpoly_factorization': [[[1, -8, 11, 28, -23, -12, 41, -34, 31, -14, 9, -2, 1], 1]], 'hecke_orbit_code': 1992881603140, 'p': 53}
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id: 1078041
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 1992881603140, 'p': 59}
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id: 1078042
{'charpoly_factorization': [[[1, -8, 39, -84, 82, -40, -1, 22, -4, 0, 2, -2, 1], 1]], 'hecke_orbit_code': 1992881603140, 'p': 61}
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id: 1078043
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 1992881603140, 'p': 67}
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id: 1078044
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 1992881603140, 'p': 71}
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id: 1078045
{'charpoly_factorization': [[[1, 3, 9, 13, 11, 5, 1], 2]], 'hecke_orbit_code': 1992881603140, 'p': 73}
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id: 1078046
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 1992881603140, 'p': 79}
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id: 1078047
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 1992881603140, 'p': 83}
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id: 1078048
{'charpoly_factorization': [[[1, -6, 11, 14, 26, 68, 55, 20, 24, 14, 2, 2, 1], 1]], 'hecke_orbit_code': 1992881603140, 'p': 89}
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id: 1078049
{'charpoly_factorization': [[[7, 21, 35, 35, 21, 7, 1], 2]], 'hecke_orbit_code': 1992881603140, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 30, 'hecke_orbit': 1, 'label': '580.1.bd.a', 'level': 580, 'portrait': 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ceODTG+MsRaEKcBCx3JYOQTeAJhNLNTmrWTKYudkM5AMEx8lvqCDZOahbbm5AVFzQ/YsAa2zEasnxmybmbEhpkRW9Ybtm1QXLnVp66aHDs5wdeeDnj0YMKTJ2JS1eXbX9rmbS821NUMB09Mceysx5mLKeczcB+eN9x09Rz/7t1LbF07ydmLU1xcqrPQ9lhqS9rdlE5f0x3CwePzHD65fOXjh+Zedvj0xR3Hzsx9/tbXvj26946/fL4h8Q3d/k4z+OJSmygyKMV77nv8yIt/7jc/Id/+okMv/udvO+PNL61jsT3BQqfOQjtgse2x0IbFdspiO2ZhOeX8MhxZEMzOLvMff2CBm69ocOrCGs5ebHJ23uPCguH8fMLpuZSL3YSpNUNecm2PF+2FQNYJVciFxRrn5j3OLwr6I0gSTS3QNGsp05MJGjhxPqHTg+3rfZr1EcYIEAG9gWbbhhELyx4YK0WWezBKwGBYbEdsXufTHSiEMgg9YqLms23jkOW+4MRZj1R7zExIWjVB6EOSCPojyflFybkFw4WlhDAcgp9w61U9Xny1YHaizsLSBKcuhJydhwvzCRcWE84swpEFwwuvmuc//cASG6YmOHl+DecX6swtBcy3JYvLKUudmKVuylLXMN+F0x3B4mKPX/+Xo+R7X924L5j9UR00994n0D9v8AlrE883VC55+zvL4B/8s49x24tu4F/9q3/1Sx/++Jf/5R/9xZcu33diecfBMz350mss0yaph9ESjMQgwEhAIhAIYfCEIZRwdrHGA4cU1+5aZO/WIY0a+J4k8BVB4NGsSxq+pN/zOXC8xhceDThxcUQniTlwasT6mUXe/JIlrr28ywv3tjk+nzDfFzTCIUfPGtqdJtdcJlkepuw7rmg1PJ45AVdsMgyjlGEa4Hkx0y3YfypEeSm+TPB8GIwkN+/tM+hLrr08pTNIOXG2xc4NimYjYnlkWDfVZ6nX4SNfhsePpTx5bMj2TQtct6fD9JqIN93a5btfbti1oUUaT3HszCRHTvucOq85fTHm9MWUIxcFJ5djXrB7jv/4A13WT01x6vwaLizUmVsOWGhLltop7W7Mci9luW9Y6sH5nmKhk3DTlXP84++Yk6HHjgvnTu4cDpJb6hM76/XG9Bcfvu+T/P77/vz5hsyqt7+TDP6Rv/w41125Vd3z4IF/f/TE+V949Knj6vxCxMLQ43Rfc822C/z6T8xx/a4G5xemWWw3WGzXWGz7LHY8lrqw1E5Z6iQsdhPm23BqSeDVh9x29SLvennEznVNlnsTXFysM7cYMN8WLLatRFjqajoDTWdk6A8TZiZitq3XgCD0Dacv+ggZsn2dYucmw6Z1fS4sjXjiUIsbrzA06ks8fXgNrWZEFPnMTGsGQ7hy25APfXmKPVsTRiPD2klJnA5o1UKeOT6k7je5fnfCk0cjLiwEbJ4J2bkRtm2IUCrm9DwEvkEIw/b1CdMtSXcQ0uv7dPo+ix3F4jIstDWL7ZT5dsr5NiwMU7Zt7vGuV8xz216Pmj/BufkJ5pdqzC97LHQEy23Nctcy93LPsNiD813F+eWEm/ec51d+YoHLN7VYWJ5gqVOjO5zEq+1Kg/qGXxrK3f/J16fSV7z6Lc83dFbc/k4B/ODBg9RqtfqZs6e3PfnEM+88duLsf95/+DSDSNAdwPJAcKGvONtJuPGyC/zaTyxw3WV1Li5Ns7DUYKlbY7Hjs9TxWOpAu6tZ7iYsdRMWO4YLbcHZngHR420vbfOmmzWXbawRRQ2W2jWWewHtrmKpJ+j2BcORIUoMaQpKGkIf6qFhasKwbk2M5w85ci7iqcMhOmnyhlsiPH+ZR/ZNsmMjfPbBhJdeE3KxPaDmKZI0Zs00JLGP5ycsLDR4yQ0dPnt/i50b4eFDI3wavP5mTSIGPHUk5djpGp4MWD/tMd0U1ENBEAiUgERDFBuGEXT7huWeptvXLPc1Cz3DIE3ZvqXPm17U5m0vjkC3WFie5OJinYWcDNqw3E1p9xKWM3Av9eFsRzHXSXnh7gu89ycuctX2OnOL0yx1G7R7Ie2ux1JHEDa2UGtt+Ldbtu35yy1btpwcDoeDK67Y/XxDqbj9nQH4saOHmZ2dDQ4fPvxDhw4f+p1HH31CLC71ZH+k6Q01vYGm44D8XDfm5ssv8is/usANl9eYX55ifrnJcidkuRuw1PVY7graXUO7l7LcTWj3NEs9w8Wu4FxbMz3V57Uv7HLr3oTt6xUTdZ9Ot0boS0ARJRKtBdpAfwgIzXRryKEzBm0i7ny4yahf5/LNAbdd2yfWy9z96BTXX+Fz6HyP9tIEL7q2zxcfCVm/xrDvhOGfvLXDvuMh69dIvvCo4rYrFYv9DkdPreH63RF3PzUgGTW49aqAXVuHDJIedzyiIBUcOe0x0fDwBPQHEm0EqTbECSA1XqBp9wzNVszWjSNefGWf196YMNOscWFxkoXlOksde2yWOoJ2D9rdhHYvod1LafcNi33J+a5gvptwy545fulH57huZ425pSmWM3B3ej6dvkd3oOj2IdY1fcXua83Oy3b91K5dl39gfn4u2r377wbI/04API4TGY0Gb37w/s9e3u0n733ooUf8UQxRZBiMUvrDlN5A0xsaOgNoDyQXB5Kz7YRbr7zIe350jht3BSx3JplbatHu1VjuBiz3PNpdRbsP3Z6h00/o9OzPavcNcz3BXA/idMR1VwzYsCal1ze88UUjdmzQJKnEk4YohrueqHHyYo2N0wlPH6mBbrB3i+KGPZqw1ueRQ33m5ptcvaPJxNQS9z/pc9MVNRb6yywtTbBhg+HBfYp/8KoeD+3z2LLOZ77XZmlxDTdc2ef+p1PW1Ke4+vIeF9ttHnx2irrX5IV7DLu3DUH2eOKYYN2amAtzMXc/4TOMFVJCqg07Nka89kUR3Z5i07TmhisgihqZfAtZ7vl0+op2T9LpQaef0umldPvWMVnuGxYHkjMdQXsw4rbdc/w/P7LEjVeEXFicot2t0+mFdPoBnYFHb6DoDSS9IfT6KYNhyg03vjDWRv3Md7/tzYcbjfqnfd/Xzze2nvdM5mjUJ0n6P3Dy2CO/fvHcoTUXLi7Sqks8JZDCYABj7B00YBBCI6VBSo+HDq7n59/n8dbbFvmeVy2yc3PE+YUJwqBOPQxohD7Nuke3LmkNfCabXnbBpKwfaQYjQ3cYsjhX4/QpQ5RozpxPCEMDCAJl8KSgP1AIfJK+xwt2CHZtMmzb3GeUdvncQ4r9h6d53Y0hN1y5xAc/ZwhEgx2b+zx5v2LzlGLtRJ+aqhPFPhe70Kx5bFkveHx/xA2767z8+nn++PYBgd/iNbcY/LDPlx6M+OwDTZ49VueyTQ12bEyZnY7YuTbmmh0pSmk8ZQBDIwyZnQqJYp9uP+DpQz69oUd/oOgNJb0B9IaGXt/+7d1BSm9g6AwMywOY6ysuLBkak21++g1zfOdtI67d2eDc/ATtXp1uP6TT90tgDwT9oW3QiBKIU8M99z7kT0yu+fXZ2Q2LL3/pzf+i2+3/cavV+N8X4PGoB4IfOXPi/vcc3fflNVG/Rz30ESiEBFsHURo9QoAQBikMSho8mRJKyVOHZnnsYJNDZy/y1hf3ePFVQ6ZaEyy2GzQ7NSYGAb1sSe0NJYOhR3/kMRwZhpEmig1xbEhSe4+SAKNBKoHvCWqBYKolmG7BhrWaLev7rJ1u8/lH4J7HfKSe5HU3+rxgb5d7n42JhhPc9gJBezDg4kKTW3dr1k71qXshw0Qx14lRWvCC3R6N1ohHD9R42Q2TvOi6Lo8eUGAmufGqgB/+9kW++HjEFx5qsu9kjW2zig1r6ky3Gky2oB6C7xmUBG1g3zFBmgriRBAlMIqxf+MoZTDSDEea/lDTH2l6A+iMYK4nudiFkR7y6usXefOL23zfazRJMsH5hSadXo1uP6A7zMGt6A+FvY8Mw5FmOEqzR83FhbOcvfi5Nd1h8v++5Y0v9zrd/vsmnkeQP28AHw0XQegfvnjq7vecO/bFddL0aDVDvJFlaCEEtmxTIIRCCIGUIKVGSY1S4CmDpzQ1XzDfr/PhL2/hS491eOk1y7z71ctcs7PHzFSDheUG3UFIf+BnwFb2HglGsSROBElil3q7Utig0vOgFkCjrlnTitm8rk9Cj0NnYj5yd42jp5pMhXVuusrj1ms7PHiwzZ1fm+CWK2ps29jnQ18WKBEy0YpZ7o3QBpSA2Yk+nW6ATuq8+aUX+fBnG+y6UONNt/SJ4gXufmqGOK1x81XreNNNHa7Y2uZLj/Z58lSDJ44FbFkjWTMhaISCwLcXocwufm1Aa0OcZBdrbBjF9kIeRjCIoDsULI0Ei10Q3pDr9yzz7tcu89KrUmYm6ix1GrS7lrV7A7sSWGBL+iPJYEgG7gzYUZqRhSHWisULbf7kI19YN4x4z9u+7SXm/MWlP9qwbvp/D4Dr+fdwobOLwfzHfzAaDt+7fP7Ztcp0aNQChEgQwoBQSCEzFpdIIZBCoqSHlClKimx51vjKEHqGuidYGioW2tN89K4mDzzd47brlnn3a5a5flebmbROkoT0hzV6A5/ByCOKFXEiSVJJqgXaCAR2hQgDTaOWEAYRgT/izMKI2x+WHD4dcOz0NEqH7NoYcOVOxY17O6hwjqeOtNg81eDqy2DD7BKLnQmu2SxJtOHzD4WM+pKpZsLrbx7y6btjTp5vsedyn3PLQ5456rN1/TTX7Zzj3ie73P+MYBQF7N25hr1bQ/Zu6XLk3CKHz8BD+xscOtqk4QlCT9IMDTUfpLRBlTH2Yk1SiBKIUkFvJOgMBZ0YIp2gzZAXXtHh3a/t8NJrUjauCRkOJ1lo1+j2QnrDgP7AozdU9IeKwUjQH0qGIytLhqPUAjvSFtyxZhgZRhHEqeLkuTZ/+OGvrHvs0MX3NlrN5D2//5kPPrr/LB/5tR/++wvwf/XLv4uY+TBe543fJ6Pjvxm3z00FMqDZCFEjgRBYbS1ACoOUoCQoKZBKoJRCKYGnNJ5K8T1B4GsC3xD6hkaQMlUTdEc+S51pPnbPBF9+Ysj66T7vfEWbvVuHDAc9rt5p2LpBMYp90lSRapvmFxik1PheyokLhmPnBcsDzafubXBmfhoT+UzXFJtmPLZv8LhsM1y9q4OW8/zBp5ssLk5yy16Pq3e1+dITApH4rJuWNBsJ/ThAGpuUUl5Aeyi4sCi4yjR4xY1d7nu0zqa1AbdcvYZ/9O3zfOCzXR460KQ39FlYbrFzU509G/vcvLvLd72sy9nFRT51b8hCP+TEOZ8zZwJ8JZDSJrq0MaQaYm1IE830TMy1V/UZjWL2bh3x9leMWDepWNMKieMa5+Zq9AcB/ZFPf+gxGOXAlgxGgsFIMByRATplFGXMHRlGkWGY2ZWDWDCIYJh6nDvT4YkTX1u7Z+f637z1hnXxR35t15/Pn3gva7f/zN8/gP/Ef/4wa174LvH9PyPfsbn19B++62VPNa7aEaJkM5Mexnm0AaQFt0FKiZI28PRU9ugJfC8l8ASBp6n5hnpsaESGyVrKdF3QjyTdqMmx001+5c/XgE4QScKN1/bZuSEiSUAbjTE2iSOFvZA8P+DAyYB9h2s0ax6tQLK2IZidkaxb47FpVrF9Y8qe7cukYoHf+vgEJ05Occtun707UgZJl689FTJV95mZNEy1Ihp1K4W0lrSHisWeYaGd0u7VecnVyzy8r8/+k4qpiRo3XzXFj755gd/+BDx6uElvYFjuelxYnGDD2gbrpodsnxnyr97RZ6LR5sljcOCUxPcNSlmJB8b+ZyBJYMeGlNuuSUhjnzgJMabBMPI5Px8wGNkVbRipQr4NIsFwJBhGksEIC+LIAns00gxjzWgM3MNY0I+hF0mWY0E7NsS9IXH30am33DT7h785N5fI8Mc/2jndNBNb/snfH4D/zC9/mN2bptV9d//p2w6dWPzgnz2wUHti/yS/8pMd9mw1KKWRMr8HVmNLG0ha1jZ4yuArie+JjLkVI18yijRhlDKKDfVYM4o1UWSYSGAUa0YJRIlgGEtGaUic1th/uMkT+yE1Bgttq419CYGyNR+tEK7eCBN1mGxKpluKmSmPdWtg24YRG2eXic0iv/XxSY4cneSGyxSXbZHs2rLEV55JuLAwyY07JdMTmlowIJQhRgmSVCKMIUkjlno1Liz43LC3zgt2d7n30RrrpwWNWosbdmt++m0L/OYnNM+cabHc0yx3FXNLHmunmkxP1JmemGSiETPbjNl+Q0ToJ/heglIpUthgwmAvqjhWXJzziBNFnCiiWDGKs8dIMoolo0gyjCSjSNgANRIZiO1xHUWaKAP2MDL2vez7BrFl724sWI4FnZFGDwe8YMci7/nJOV591dlGdzn4YCo/pBNx+ccvHv3DdN1lP/qtD/D/59f/gslmoA6ePP/2U8fP/fGj+07VRGuKzz1owfqffqzNlZu7KJmWAaQMUMpkOtvDVwrfU/iewY8kgS/sSfAFo0ARxRbocWyIktS6IolzTyFJDWmqSTVWb2sKcAthpZAnwfch9AS1UNAIJc2GYrIhmZ4UrFuTsH1Dn1ZzmY/fF3H3U2tYnp/g2m2K7Rt9rtg6JBXLfP6hBk3fY3Za0WoMeeoIPHvU45qthv5Icd0VMdfuMpw/lzK3FDAYNnjDTV2++uSAQ2cUzbokDCa45jLNf/rBBe56ZsCn71rLQsewfV3KUttjakIx2fRpNXyadUMt1ISBJvRSPGUysrDnwBhswkoLEi1JUkGSCOJEEiWCOJaMYuu8RLEgig1RBKM4JYozUGfEMYrdu2XtHNydWNJOoD9MEMmAG3Ys8os/tsAbbtJ0epP0+sdqJmj9qfBr/9CotX91ct8H021X/uC3NsB9YeTSUud7jh0//T8OHjxZW1v3WYphyAR/c78kGine/soOb39VlzUTKd1+DSVTPJXiKR9faXxf4UceoacY+pZpRr4kCgRRLOzJiRVxAlEsrYOQlLZfkmrS1LoLqcmckswtyd0ZJa3sCTxBGEhqoaRZF0w0DFMtzfo1I2anuyRmmY9+VfKBz86wrlbj2m2CbRt9dmzSbN+4xMe/ZlhcrLF3g2J6AlqNmAvHJReXQoKdMIoFs5OSqSk4dMyw1NGcn69xxY4ar7qxy+331JhpQRgEKDnFNbsEP/ami/jyIn9z7zTPnqmxvhOzbiphsqlo1RWNuqQeeoQBhD54nl3xbCzjgBx7Yaca0lSQpGRAtz52lEAcp5YU4sw+TTRRooliGMW5K5NZkIlgmAh6Gbg7sSYaxkyGbd71hgXe8Yoer7kB2r0Wg2GNURIy6B6vqVr4h3498ITw/wLLM9+aAP+9D3yCVOsfvP/Bo7926MjJiYmawk9sAqUtPAayxecf9vjaMzXOLS3wT97WY3oiphbajKPnpVZnxx6BnxL5HkFkpUkU21S6ZRxhmShjpSSBOIU0tU6C1jbg0trkPZwZuC3AbeAq8D0LkFoIjZqmVU+YaiXMTg1YO73Mffsj/vTOOgeOTbFj0mfXBtiyIWDLetizrUM/6fDgvgnqymd2WjHVgqnWiOnJhCDwEMJeXINRwGInZrlvaPcSLi4FbNvQ4kV7L3LnQ30OnJmgEcb4KkCISXZtVnz/a+Z54Z6L/OmdLR58eoqFnse6iYSpRkKjJqnXFKEvCH2J79tYRSky+9Ci3CbNjF29MqAnqc5Wt8xaTDRJqokSQxJDlJjyHltXZpgIRomgHwu6iaCbwGCQoJMBM/UuP/Xd8/zf39unEYYsdxoMo5BRFDCKAuLEozN/ciJsqt+amr02OPz0Jz5w+TVv/dYD+OJSGyXlj/z+B/76PSdPnZ5pBJIopfC4lRB4wqMnGywPFb/2lz77jizx5pf1ecX1XdavHdHt1hmMQkaRT5D4RL5HGFh7Lwd4HEuixC67cZJ52imZ9UfG3BJtKMFtr7HCpfGUTZgEvqEWaOq1hFYtYXpixMa1HS60+/zOp3w+//AaFpeaXD4r2LZOsHldwJZ1gp2bhnjBMh++2+PoqSa710umW5LJZoqUI87MGUJPIgUYI4hij+3rOjxESqevWOoYLizW2b2lxne9os1ffSng+IUQ34sRwkebJnEiuXHnEtu/t8PnH+3zoc+v4ZHjTTZPC9Y2U5q1lFogCH1B4Fv55yls4CxFUZNhsBeZNlinJbWAz0GepFbSWbBDlNpalyhPHiWCQQLdRNJLYBBpkn7ElrUdXn7DEm95eZ833qjxRJPFpRqj2GZXR5G92/Om6M2fm/Ebl7137wu+Sw0HnffV6v9rasr/lwB8aalN4Pv/6HN33v2eJ596Zl3gGaQUyKRcNqUAT2h8IeiKGp3I48NfqXHXk11u2Nvhe19tq+BmpkIGw5DBKCDyfaLEJ4q9IlBKEkWcSpJEEqeCJJGkqSDVotTaWlCoEmOZWwoynW/wlSbwNWGQUg8TWvURa6d6DOIBX3rK8JGvTPLg01NMBz7XbDZsXCNZPxOwaVayZX3EZZuXePL4gE99dZZJ5TE7KZhoCiYaMe1+yme/VqMVGISwwBqMPN5824jPPGBrYto9zcUljy3rWrz1xT0e3N9l36GAZpigpLAg1w2GkdX63/+qNrs3XuTDd3W4/9kpTi7V2TAhmKwZGoGm5mkCHzwlUNJeyJbJIS8/0plU07pc4ZIM6JYgIE4FcZoBO7VypJ8Ieik25okimvU+73rdIt/zmg437k5Zv8ZnMGjS7oZEccAo9okin1HsEFNsV96Txw+s88L733P5lS/V/V7n/Y3mNx/k31SALy8v0+n0EIIf+NJdX/3Vz97xpZl2e5laYGWDFI7HLXLnwhBIQU/59H3F6U7I2QcaPPBUj7+6tsvbXzXg9bcNWTMVEI1CRolPFPvEsV84AkmqSNIsYZOWANcmY25d1pQJYbKg0tZxeJ4m8FPCIKYeRrTqA1IGfPFRyZ9/eYqnj00i4pAd04aNU4a1U4rZNQEb1ko2zcZs29Dh1FyX3/t0k2RUZ8sWwVTLY6IJE40Y4Ud0Bk2mWgYhBMZAnEjWhIpEJ3TjgG4/ZamjODNX56rLWvz4dyzz3r8IOTHXxFNxdmF4JEmNYSTZMBNy4+Udrr2sxzMnzvCRr9S585EpzrbrNENFK4Cmbwg8g6/AkzadL0S1uk4DRtuLLtWC1ECSCuufp4IotUmiQSoYpDBIDEmSoOMRM7UBb3j1Mu98dZeXXpMwWfeI4iZLyyGjOCCKLRFFiUcUeQVz5ytuHEuGvTZPPHr3uiiRv7p7703JwtzZPwlqTVqtb978xG8qwAeDAZOTzbc8+NAjv33HnV+a6Pc61ENFnFpQI0SRwJGZx+1l7kWYampK0FcB/cTj4qjG3zzQ5O6n+9z8hR7/9Lu7XLmtw7opxUTDI4oDosQnSbwC5GkOcJ33aFpJYIqAEqTQme2o8byEMEjwVURnEDPXifmNj9c4dnGaR/dNYXTATF2wbq1h7aRgZkIxM+WzfkayYSZh82yfmaklPv+Y5pFnp7h2i2C6JWk1JBMNTbMeIfwRYejhKfv7jYE0lQxGHoNhTKIF3YGm2zMsdnzOL0xw654eL7pqmQ9/oUZ9UeHJ2ALSeCRpQBTbHs+1UzVeuKvHCy/v8dDLz3JiTvKnd05xcbnB6YWQQEmaviDIZViWRCuIPJcqWCZPjCDREGvBKIVhApE2kCaQxEg1YtP0gGu32/Nx05UpE3WPJGnS7gaMYquxLQGpDOC5LSkzCZk/t6tDd9Dh4QfumtHG++3de69fGg4Hn/pmYvKbBvBDhw6zYcMG9ZGP/OXl+w8cnOh329RCjzjRGWMLpDTEiShYXAnwpMBThiAxhKmgoQQDT9D3Qgapz0LU4M5HJrnv2QHNcMQ/fGObrTMJ2zcNuPXqLp6wLWJCWLlis5K2VtoYh7kxCGlQwnrmhgRkwjPHJA/v97j9wRbPnGwRJQ1anmK2bljTNEw3jPXBJzzWTHrMTAk2rEnYNDtg4+wSdz894g9uX8fGKY/ZCZhoKiaaglYjoR6OuO+gYhh5+E0LKmMEUSKpeYrrdw944KkpW/g0SFnu+Mwvh1yYn+bH33SB0/MLPPD4LL4ERIwGkgxAo0jSG3hMt2pMTTR50e4+L7+2z/e+co79pzSfebDGg/vrHDzaJBEeo5GiHyuUkFmdjxt4ZjkBo0m0wWiNL1Img4gaMS+6ocfOjUO2rI159+tH1ANFs+YRxQ3aXcvWSaIywlGZo5XfZWZHyux1GSvl8VKn1+bBB+6bOHv2wuXf/h3frY4ePZJedtmuvzsA379/HzMz08Gjjz7yQ1onv7a8tEgY+qTaIJA2sJSl9lbSoBJhH1ODl0KsBH5qCFNDLRU0vIxFUo9B6tFPa3S7Kb/64WlMErN+dshV24bMTCa8/VUDtq2LiGOR6W0JDnOT6U8pNUIKPnZXnSePNBGex4mzDc5caFCrKyZDwVTTMFHTTNSgVRdMNhQTLcV0y2NmCtZOJayfGbJ5XYfULPOxr04w6DW5YothoqFoNSStuqZVS/D9iM8/UGPUl/jrQGZgihNJs654w80D7nlM0xtJeoOUTt9juetxfqHBlTtbvP2lHR59psGJxRZKaiDO9LJPnCpGsU3M9IYe7V5Aq96gWR9x5ZYht+wZcupim+PnlvH8lCeOevzVVxoIZQvXGJ8/aDSgwRjiKGX7+oR3vmrA2omUPdsN62cgTXxGUYsk8Vnq+iSxIk6z5FGqSGK7kkaJsjFRVueTgzxn7SSx9ygrctPGY25+gdkN23/t8cce7W/buv0DB/bvi/bsvfLvBsDPnD7N/Pzc7jNnzvzOo48+LKWS+EhkmlcGylJ/F/UlBpUKvCyo8dM8ISMItaGWGpJUEGlDlAoiLRilPiPtE2uY603wlSc1hpRPPmhHNmB0ds+zeJlFJvKKRIlUiiT2kNrD9yStEHbOGpq+phFqGiE0QkGzLmnVrRyabEmmJ2BmMmF2esSm2S4pS/zGX9e496l17JqB6UbG3g1Jq57QqEc0GwPq9QahkiiZaXCsHIhjn+FAMBildEeK3lDTHWjbMtcMOH1hkpdcNeKn33GBX/8rj5PLIUJojInRqSFOfKJYMhzZMtbWwKNZC2jUazTCBrUwplWPuPGKiMCPuemKhHe/uo+nkiJrbAvbXJDbFUZriRCS0FdAwHDksbDk2bqdNI95snsiixgoTiRpIm3Qn+aOVvmYJKI4x7n/nhR+vOHRhx+SGPk7/X7/q6PR6OlvBjb/PwP8M7d/iiDw6sePHXnb4cOHhO/Z6VFSGAQW3EKYosZESUMiQSlQqbXxcs/aTyHJI/o0i+p15mdrQaINsYZECyItSYwk1R6xDkkz28u9FVlKAZ4QNlOpoFY31DxDTaWEPoQe1AJDPRTUA0mjLmnUPAvwpmCqpVkzkTAzNWLdmh6b1i3wB7drPnTnerZOKda2NBNNRauhaDagUU9p1WPOLWiOnAupBfaChrzSTzCMPHZu0GxYO6QzDBgMTcbikuWuR6teo9WY4t2vvsjRc+f5w09txpMeBk2qU3ssEo9RpBhEtiiqX5M0hh710KceprS7NsYIfJtP8P0UT6ZZaYRN54vsbktXBCAykAvaOquy1DauSVOJ1iqzYO1rC9A8wC+fFyBORfZ+zt42yRRnwE4zx8YGuYInn3xS9PqDt23fvuPIJz/5ycF3fud3Pr8Ar4VesLR48ecWFy78XJqMpO9LtAahs1LX1AI7yQCeSmvNpakFe6oEnjbOH5qBPLUln2meeSuel5Vy1ssVRaDkam6g4th4UtuAVllnwVcC3zPWN/YEtVBSCyT1UFGvKVp1SathmGymTLUS1kyMWDvdZ9v6BR48OOLDd21iuhayvqWZaAgL7rqkWdM0awmtxogHD8AT+xtcPmsy3VumzQcjxU17DFdsG/DQ01P0R4bBMKU38DKQ+zRqdeq1Kd71skWeOHiRB/ZtAKPQOrXlsIkhiU1RTzIYeTSGhnpNUQs0YeATBimhp7OkmS0xVkpnRWwmC/4NglLPlcG5LSHWuSOlc/vVsWIzMKfagjh3sRJdZkrzryUZexfnOj/f2bnWWtDtD+TZc+f/fa3WCJqNxi8B0fMG8OGwL0fD4S9++lMf/hdLC+eD0FeWSTVIbavzlDQkOmdug87AnSqrv9MczBnQdX41F9lHip+ZaoPOMnF5ssIYg5N5r6y4hefulN16SliAF0VbNvsXBopaqKiHgkZd0KobJhopk82EqdaImckBm2aXeODAgF/84/WcPD3FZWs1Uw2YqCuadUWzBs1aSr0WE/hD2kODkgpf2TxAfrMnXBInARP1mH6i6Wd11v1hSrcvadcVjW5ILWyxY0PMf/qhNv/hg5Kv7VuPQaGNJk01SZpkqXTFMFIMQkl9pKgFkjAwhIEi9DS+b/1+L6vxUSpbUTOZIoSpNuhmqX2TkYjJalnSDPCpLh8tUGX2KArwW19dkCb53+wAOiewAtwmazgxnDx5OgjDxs98//d/n98f9P9to974W6fz/9YA7/c7pGn8S089ce8/W5w/VavXJNoYlHbqHaRdjpQWpBljaG3BnaaWyfM/LM2kiNam+Pe68GjBaGO7yE3Zo1n2alYBnsnuLLC0EsU2SVi7zMta0XxPEgZ2AFAttCMZ6qGhWdO0GikTjZjJVsSaiQGbZpd5YH+f//CBtRw4uYbta6zD0qpLmg1p2btuaNRSGrWYOI34sy+0kErhS+sYFQxu8qXc5/tft8Qdj0R0o5B+BvDeQNHtKdqhRy0ICf0J9mxN+M8/vMC/+4Dg/qfXo40k1TatHie20GwUaUY1W+4ahoKaLwgDm9kMPFNkbD2lkcp647ltWwC8THkCGYlgcwm5vLKAZ0Uyzb4mA7iVkjrLJqeZ5MzPs3u+c4CX515y8PDx2he/dPc/f8PrXi3a7c7PT07+7ZJAf2uAXzh7FGPMi44ffrwuGRH6Mru6DakWVl9nINfZlaykIM3Twyr/w7IrOGN1XdRKlO1XFujC1lHkoM4P/NjnygGe12CownMXRR25BbjE96Wt3wgEtdDOPGmEKc26BfdEM2JqYsDsVJsH9/f5xfev4ZkTa9kyLZhpOtKk5tGs2fqVei2hHkb4/ogzC9P4SqCkzmy5MshMU0mSKDZOG5IkphPXsk4ZzWCY0h1K6n1FLfAJ/Bq+N8neLQn/+R/N8W/+CB54dh2plhbgqSFO0ozJNaNQU4skw0AVEsz3wffyNj9pcwGybDAR2eMqGLdyhSwphCiSQzoDdOV5Afy8TCI7/wWgHcZOTSY3s/NfnG9DMhxy3/2P1Hfu2PEiIeXXxeM3FeBPP/Z5lIgajzx8Z5BES4RBXtdQFvFoWf6hWtugMr+6tcwuBOOwtlf+caUMMQXQTS5H8ueX+GxSlEVUNqEkCnArKbNGiVyeQM2HMNDUa4Z6aPVzox4z0YiYag5YO93mkUND/t37pnnqxCybphSzTc1kXdCqSRo1RaMuqNfsxWFT/REP7BP0hgE1RXaRWQ2eNyGkWhAnHs2a4taruzz4zAT92MqUwSilP1B0Q0UYKAI/yPTzFFdu1fzyj17kZ38f7t+3jlhLYq2zZumyB3MUSMJAW/b2yzp6T+V3MplSyjiZZXlXA3meFDI5wDPAp1mm2F1ttSstxySIW/hWvkf5PMeEgYvzy/z5R/4m+M63vLHxkb/6TP9db/+2//UAX5g7zvTM5qknHvzk7wkzeJmnUpSUVmZIKvLCfcyXslThLGmglVidtR1A6wLYZVMwmfYuToawBUV5N35eZKQKgIPKKgZ9DwIfAl9TC7ICqzClnsmLVn3EZGvAdKvD44dH/Lv3TfPE8XVsmPKYbWgm69CsCZp1RaOuaBTsnVILE1qNIXc/EbDcrjE9XabJc8DoTKfGqWLdjOLVL+hx98PadtFE2gG5pOZLar6H7wV4Xh0pNVduNbznRy/ys79vuP/AOmLtEWcVgLbs1TJ5GMuiujDwJJ6XFWFJgfLyY0Px+fKLMJcqIq9Kg8r4DveunUetncdi5R2XIFUWr34PzmtIkoTlzuBlBw4d+6Mf+Ydv/4kDh48v77l8x/9agPc7Zxn15362s3T0e5LhPGHgo7XOdFemk92ruAC3U6ZpRPnHZPIjLWQIBXtXAslx5s6QnmfkCu0t8wq6UnfnFYOewtZneAbft43FtUBTC1LqtYRGLaZZG9FqDFkz2ebRgyN+7vfX8vjR9ayb8lnXSJlsmAzcGXvXJPXQsn8tTGiEEYke0Y1ChJL4OYMXGlxkTJcViMU+zWBoywWiGtM5yIcp/cAyeBhIfM/D9/INaA3X7DC89ycu8K//h+b+/euJtccoFUSpzlhcUIs1oW8IfNvW52Vxh6dsibCSMjs+WVd+/ugUZhUXphvrjIG7ICGHmHKglqsyFXAb7UoSCpLL2T3NZM+ps/O09h37nnvue+xIFMX/5n8pg3eXT9Kc3LL9qa/9/rXx4DS1GqTadslYFhfOElPqcZ1ZQCWYjXOli6wgikoAmYN9vJ7EuGtmztpuUJkvt1mNi8qCKc8z+MoCO/BMUT1Y89NMN8fUayOmJ/pMNrs8sC/h5/9gLY8dXc/spMdsPWWyZmhl4K7XrJ2Yg7septSChIlmxL7jhrsebRJIia90FsSVHkW+lMepItEer7gx5vLLehw5WWe2AcOsJWw4SukPMxb2FJ7nF618Qhiu3g6//GPz/Jvf13z1mVmGcZ1RKokSQyOr4Q59LMi9fPXSRW+rVGmxwikpHIALB+Ss0CslyE0V4M5K64LWfZ3qvMDLFOZB6rJ+LnNycwHFwSPn+PyXHr72l/7tj20/dOT0iSt2bfnmA7zfOYMfTu04f+q+/xZHi2/B9Ah8nzRNLYilyWSHtPrblNG11rkMcR4LHztnbIrovIjcXZdkhVuSMfc4uIVBKidbKrN+zoy5A0/j+5rQ14RBQi1IqIURjdqINZN9lrp97nkafvnPN/Dk4bWszcA9VTe06oJmTRReuXVetGXvwAK8Ho6I0pThoEZN2YtMCmfpJ88WZh5y4lkt740YRYZBLByAa4IgJfA9fF/iKYWSfgFwBFy3U/DLP7HEr/5Fwv37ZzjbnmDYlEylhlZiqGUTB0LfZN5/7qSYgr1zqZIDvPi82Yd2cV4oxOykmOJcOWAfY3K3/jxftXPDICc7M24JF4wu6Hb6nL+4+JZP33F/+vLbXvDPjx4/e/yyHZu+uQDvLh9HefVb2nPPvq27dADfD9Fao0TpjWrtsLYpgZ3rb2NKFq84I1qMae2VAM8PsasK85Ngxz3k7G2KSsWyWdmWxfqeJijKYy24wyAD95oec0sD3vNnDT71tVnme9PMTkpmaxm4a1Z3N7LAsh5KGqHJGNxq71oYARFffjxgKQ6YCanUYyOqK1Sa2uaHidDjVTf0eeBARDcOmSwaezXByNaqB54FuKcMSvoIaRM0GNi7VfLr/7TDZx4Y8EvvX8/p+WkGUx5TgaCVaBoJhLEdvRwoO9DIzwNNKYogOH90A3X3whSi6BUpzg/FeXLOXRYf5bLE1euuaVDR7G7yznlMDYDi4ccPs2XzhrdNTjT/rNsbHP+mMngS9VB+44qLJ+/+vzoLTxD4AtBoAVpKlBHoNAe0KPSTdoGuS5svf7+w/XQpR/LkQoW1XVmSHeicWfJ0c+4CqBzgyuBJC2xPWXD7XkrgpwR+Qi2ICYOYVn2A5/W5+4mUP/rsBLffu45IT7BuQrC2ZmWJtQBzn1xld5Ext8veMZ434r5np+hHHhsb+ecZZ3CK1S5OFDVf8aIrByTaAnwQC4a5GxLZkWi+l1ucKgOizT5asAnWTgm+55U9WuFZ3v/ZAfc8O8P5uE6/JplIDE3PWJB7WRyiTBaXmAzk+TEUZe24tNsJ5Md6fEfBQqrkbO6Qkg2mx8BdAfY4uzMGcFFZ4YX0uOv+p7nxBbv/r7d920se63T7h76RkXBfF+Cj3hHmTn0GP5jaNGjvf7nU84RBgNZJxshZYKlKIHvGmv6m+KDCkR9ZVmyF1haVg2OPmWM9OAc3b1oopUmelctHu1FMvsqZ21e2FiP0Y4IgpuZHNBpDgqDPn9/p8St/so4jc2vwwxobWoI1YcpEaGiG0Mw67OuhzXbWsoSQrV9Js5XAypP5TkovCgiUIpCmCDBx/pT85OW1G1HiU/eHbJgasNxvMYhFNm7Nxgq+n2Y2n8rsTmUBXglcbeXjW17a46ar5vjlPx3yoc/Pspg06Yc+TV8y4dkanNCDQFE0Q3h50qeYQyOKLHCeAKpo8opYGQf6SolZBKN57DXmvuTxl3bwUOjwXL6gOHW+w11f2//y3iDdNLfQPvTk/pNct3fb/zeAG5Myu+UVO3pLT/5B3HucMDRokxYH1WhNamy20mhZAlqXB74MJHPmFmPgdpIJBlvquspnEZiSTWQ+iNMBuDQoaSfPlsydZiBPCDwrScJgROgPOH4h4Q8/0+QTX53h6IVpJho+a2owHaa0QpOl3nNwywzcskgK1TLtHQb2wplojvj4fR6HTtSpZRO4inYxSpQXYxyM1eFx4rF3O3z7TV3+6HMz9BoeE7EdqBNGWdygNJ4nrfuhcEDuOyfLrgrb1kp+/h/0uXbnaX7/9jUcPT/JYlKn73s0laCRAT2Qxl44mctUrH5O5acQtsxXSOEA3Kz0yR2QG0ebu06LC+gq0EXldSlP3PcFCR5fuH8/t7zwyj94+3e8+I1zC92vK1WeE+A6HSFkQH/x3i2j7uO7hJknqLC3PUlKlzucubIk/x6T1zTk7+VgRzgHpXxeYW/IioFy9i6BnU+aLSsVdeaa5Oyd4nuJ7dzxEsJwROCN6KYRv/PRgPd/ZgNnFqbQqs6aScWawDAZaBoZczeK9L3M6lQyaZJ55wW4A5u9HMURh06H9KKQ6TBzcfKkU86AeRbWODUpscdE02PnlggVDulGLQaBoB7byVFBJq/8TKJ4uesh1CWCV8XsZJ8ff0uft73iPO//TIc//NgM84MmA69GzVM0PEFdGcLEWDaXVqp4sixvKMfoVZkcVpEr4w6L816FrU25epc6nQqQU7PydaohNYrj57vcef/+XWG9tuW7X3/j8eEophb6XOr2nABPo7NINTErpfxo0v2qHwYGbWJ0AWhRPteyBLdxwO28Nlnzr8vi9iBkjH0J5i4KOUUO9twqc9k7q5JTqQW4Z2erBH5MLYgI/Ij2MOK+JyV/fucEH/vqDMO0RRAEzASCqUDTDAyN0NAISnDXQkkYSsJMmtjEUOZMZAAPfJv5PHbOcM8jDaLYJ2yaFQFmQRyFBrfHLYoVvu/x6pu6fPiLPQ6cbjKo2XkvI98QJODHGj/SKCWtby3tQNJiuA8leFItSbSkEXqsnxrwr9/V58ptIz50Z4uH900yN2gyVAG+71HzBHUJocxs1NxelVkXltMkLovjvxLgFQvR+Tw5+F3ZUkkOmTG9bUrmTrPnqYbEQGwEsfL58Bee8r/zDTd99Oxc+wVzS725vzWDK3+NjHpP3TJc+JtJT/YxUmUyRGZyQzpglo6+FmXbWP6aLJgcK8csr/gqg1cKf2yPjj24RUpZF+WeMhv15qnUAlylhRzxvJh2L+bepwV//LkJ7nx0ksV2C1mv0aorpnzDRKBp+IZGYKgHZKxtmbseSmqBohYIagFZhZ7OwK0Jfau/lTfi4Gk4067ZxEqmb6uJk7J+xvZB5lV3kijyWD8huGLrgKdOJvRjn1E24zuIsOBTaSZR8kQNyLHOnCKIz2zIOLX14e989YDX37zElx7r8sHPT/DwvgkWug3aMqAXeARKEEhBKLE9nNLuUqdEeZEqkZX9jgF8rGdiVSYvwZ2t5rggL1k7zVc2AwkW4ImxAE8zh0ZGI37zQ3dN/vT3vuyWV918+ed4juFBzwlwkR4LAy/6H6NkX9P3YiB1+h1lCWqTs7fMHBHhbMw6BuhCa4uCsU1xRMZooSJNTKVA38oSnWlujZIpSqYEuZshY+a6CXc/4vHZe1t86p5JLnaaiFoNv+Uz4cGkbzt56j6Z7IB6ILK7zEpOM90dCMKcvXOAewlBkFALIoyJ+fKjISfO1Vm7RuBLnelYUTb6Oigoyk8zSTEY+WxfL3j1DX0+8bWIXuwziAU13/arBomdLFWuUqrwqxGyIlOMc37S7J4kHvVwxDtfOeC1Ny3wya92+cy9De5+ssXFdoOBCBgEHp6v8ITAlwJfSnxhMqllUAhHGlbtw2rYOQbwCouXAC8DSUGKBXCSv86e62KZz4xyNFprnnrmcHM4uu1/PLrv3JXA4H8a4EttzdJg8H1J+4+mZlpnMKlPEpcHLGdyC2QH4NnBLYPQHNSOLEEUPZOmODRVcFcCSgfYQujMDtSIDOCelxJ4MbVazHCUcuAMHD+r+MgXJvncwxNcXGqCX8Ob8GkoScs3tDxN3TfUfaj5Ftw1384ktGWm0rmL7OsmA7kuQB74tj3tyFnNU8dC8P1smTdOir5iQVROeFp0vNhxztfsHHHVlh77zzQY1ASNRBDGhpEis/Z0xt65m5JbkKVWKXz2PPGmVTZ9wGcY+dTrI37wDSPefOsydzzS4y+/2OD42Rr7zzSIlkOS0GPoeUhlp/oqwMsecyYvZMvYuVoV4I79qzNW1jiMnb2fJ4NM1huKcdsQU3vP9ErneJenn36Us2ubz8XRlwb4/NKSiOLop3/vTw5N7dpQ50W7I164O0YFoJREx5IoUqRGlYCudLRLSrckOwxFyr0qT3JI54fGYsEUAaU9gHkHirajH2RKGNpJqkmacn4BvvAVjyOn69z1YJ0zS3WOnG1CGKIaHjVP0fQMTU9bF8G3g/Nrvh3XZkGc32V2VxnAyTR3Bm4/JfQte9sLK+LYHOw73sCXVXuwkCiU9eClm5A5KTrra0x8rto+4Ip1fZ4+mtBPfFqxYORBkNiZgMoBuJQCIWWFyaHqRBQyKJVFH2Wc+oz8gIl6xPe/bsRLr+1wZqnDlx8KOHoq5I5HG5xdqJEOfLT0iAOFkNKuFFlXviTLeEIpW5zT6KYuNFWpoovgU2d4KHxEy9Q5oNG2HDGy9bbCS5Eq5earRrzoiiGvuPLLa1/92p/9v/7lDxx+r/AvXzV8uyTA3/O+vyFJEj72qSXQ69i5acQ1l414+QtHXLUjZuO05vIdMTUEaaxsoJBmjxmrV2RJxuIUjwWcV2FuM8bcjhRRKX6YEqeGo6cETx1VfOHBBk8fC3j2WJ3OKGQUheAHqAmfUAkaChqepu74wKGX12nkZbO2LjzMZEkQKIJAZheAKbW3n2ZD963OrwUxRkdcWJSMTIjnSQJp8BybbYzAC5CnptrvGCU+Ao/ZNRFSDenFPn1PWKcjLgvGPKUrGUgpCnhBPuyI0rYtW8vs7/FTVYyf6I8CNkxHbFsfc+NlIwbRgH94rM3TxwO+8ECNp47VOHqyRpwoCBVGKhCSVDrZoPx3r4g8xxbnIsmRSY6isD+typCctWONR8quHTGb18Ts3RnxihtHXHNZzI4NBk8kzbRzx/ekeO/9n2Lw//K+O7i40FGfuedpMUhrxDE8cTTkqSMJdzwQM+knbNsSc82eiNfdPOJV10dgwPcT6k1jt9dGgBYksQW7Xa6k45qsTIsJYf9gIW3dCEIjpCGODP2hZfTjpyV/cWdIP1Y8/myNw6dC5nsBozQALwDloyYUgRTUFTSUoaaw48xUVnikLGsHvrBJDxfcviTIZEkYQBiQuSY2Ze57msBPsoxoTL0WcXEp5Qv3t2h3Q6YnBZ7UlAP9L3Hecz+40OKS0Uixdkbx+luH3PHwgJPtJgNfWpnigZ8Y/Dj3rDOPXabWLsSddSKL36GN5/wOC/QgVaSeIvGzsQ+xb61UP6YZxLz0moQXXTnirS8fcvCU5Il9PoNI8aEvNDh23gch6Q880kjl5ZsYLwf4mGWUs3olLZ3FhEYjEoPQBpNNQ6g3E3xfI9C86voRr7tpxNV7IrZvTpn0Ye0EGJ197shj1DkgvOYtqnfhL5Pm+nd+4ww+u2bid/qd0XWx9CBsgI7ROmFuEDDXTTm2mHL/0ykf/VLC7HSC0YYbdke88zXDrEXJMDupuf6aiGYtW32MTXisVNz2KOTDedp9wRNPeix0JPWa5MF9Pp/+ao1hrBjGinPnA7TwiI2PFj54HiL08KQkUIKaNNQyYIfKECpja8C9zPP1SuYO8r7MAtwq69EUBXsHviYI8gKttGDvIIhRKuIrjyk+8bUWKvCs3VbR35dm8NwLT9Pc8VAMhz5vvm3Ap+7r8KEvT9JLajQzHe7nOjzOkzKm6BYSQhYAs79KVpwLt2E4SSWJZ5nc9xSJ5+ElqQW6SlHKDtKfriXctifh1j0xRox4+yv7DGM7zu1vvhry0L6AeiiY7yieeDqg05eZShKrnuGCybLKw2ZNc/0LItZOpbYCNTW88zVDrr8ixmiYnTasmTIo7Ma8aaoYDiSpVvaeStC963w19TvAj39DDD6/0GFmTWvi3/7mp/bEcaKQCoQHQoHMhL6n0TphZAwX2ikXlqx2OnhS8+mv2CvUpIbJ6ZRbro1o1W1N8Fjl1AqAk7kOyz3Fw08FdNoK6UlGWjIynmUm4dn2IOmB9JBS4kthwSwNodQE0gIhUBCockafBbkoGx482wiQNx674LYMn5XV+jmDp849IfRijIk4Mx8QjWqEk5IgS3urrCqvksXMO3oos7wlyO2Ji2Kf6ZZi69qIQAwZJCGDRFD37BDMvIYkT2gp6Za3yuJ32d+Rx0a6zJ4WtfvO6IckzfIGKtv/KCFOUlScz2lPkTJhy1qdrRiaK7cNicwA6WnabcHDT3ks9yWqUCzVoNolc4zt2mrWDC+6LmZySmNSK2MbCpQtn0NrhU4kkbbHxuZaMnNDqyxbrpUfD/ZMbv6BiThqd/ygOtdwBcCPn5nn7MXl9z75zLFXdns9Gp6yPqTwMMbLlhINUq8IChJjaJOtvdLQWTKc+0rF+l8d2FSXNyMEOt9ygazmVKgyyJEys7JyUGdpZ0m2cWvuGzuPXtZJr8i23qMAt23rUgQZuAOPosTUMnjG4p4myLKjvh8ThjGn5jV/ekcTvABfijLALOSJWMHgrruQDwm1YLMsFcU+7379gE/ePeDZCy16qU8jsZvS2ipAU3biqDwnUAZ7xbEsYjfpFHjld13Uwniewk/tvBQ/A7qSZdLM1o1nz0W+1UyKJwzCpKxtaL7tJRpEmslM7NyQFeYhxeeyx0FgtIdOyvgsiSWxKS1nTX6RqixxmAM8Ty4OMe3Drwynj78Xk/zjr8vgv/uhLyGlCI4eP09dgZG23DU2EBtIclvQgMnBXAQL+eZHZT469V1gm7G/1znzQgDlMpsHL0LKogVNCfCFTSuHwlYL+tK+9iRZTUXWPZ4XEnk4c1AsyAOv7KovAS4L2RIGpmhpCwLtDM5J8DP2DrwYKSNOnBfMdWoIzyOUVORJkZ53+hyrvrCoAi9zOqLEZ2ZixPYNA/afHzFIPYYphKkdb+cnmQ5PKJyl8jCqSqdCWQAly5LU4vcJ0lTjpZpUSZSXb1+usmK1tNg/SWV3ITUqA7nIfzd6zMo1BdBz06C8uItiZ/toMlIr6pFyC1lU3Lgc1LlLl2fQUw26d4alM5+wu/d+PYAfOnQCISAe9ql7oDFoAYHJjfjShE8RmU04VjLplpZl71/yJoRdVrOlPGehYo5hDmphnQlPmqLGI39evJeRfVkKStFgGyhhwV4Bt7SPQQ70PPik2J4wyJokconie1afBkFMQsxn7qtzYa6OP6kI3BoO10FhTJFWio/EWBCoGI7sBNs3vbjHfU8O6SQ1+p5HPdFEWTpdybIgKi84yzcXsLc80Myt2tw6zGaqGDuLJtUCTwsSJfBSme1iZ8secqCXyTRdJNik1E7iTVeScOUICmeg0GqSvJLBzvMijhHhFuchsyKtsey5hiSNSZdOroqzCsD/+MN3MtGsv+RDH7/7pvPnU0LPQrTodjZZR44xaERRK5Cb9IZ8ypQoQP8coqTIhuUesZtIUIAn8n5GmzK2801KjZuPX7aPohiF4AK7mIOisP2IqwE8Dzhz3e3lssRkertaSx74MYEfcb6tefRwHbwAL5MnnlOgVPx9Ywi3J7Osny5b+WThicexzw2Xj5iZGtBeatBPFA0FfmL/FpXawUkqdgGOBXnxi2SRTCsYUptyiVeaVAt8LUiVJFWaVAmSDOSJU7yWl0PIHOQ5qLNgVwiDxCCkXpGkK9C8WkbXLdHIE4LZ80rNUmF7UjC6yUjBGAFe86aZza95ydljr7930843rQ7wOI7o9s23KaGv10lE6HkW2MLJMuVLK1ltL05ppAtsszq481sebMtsscqXc0l5wsbrIKSg0J7FlFpRlnra5uK8U8XKElV0r5TAzptvLXtnmtuj0Nu5JWgZuwS3X1Qnxghibv9qyH1Pt5ChRyCFnb9dVBC681nyEzuezSyL03JNmTsEg6HPrVcP+PaXdvnD21tEaUgvldRSwyihmKteVv3pTM7psQvqUkwO2pPFyLQc3KmSKKUto0uZjZbIt3XUDsDdkolqGYVwknQUTP51bgUhuozu3ssyBO08ai1IkhThc30cDb7N6PjeVRn80NHTTE+2Xv9nf/WFf3Du/EVqgd0XWhuDLCrA8nSr06nhXIn5/i/5CVwtvnD/UHviTYXpit5KquWaylmKC4CrnMnJGJyiDavC4lk3jK+q4LbjFMaYO+vZDLL2Nt/LGw4S5x4TEfOXX54gNSGqyF66AWbZ15g7GxUNnu1GXDSFaIkuZvsp0tRD4PPOV/X5s8+MWNYxg7TGIBX4CQWLS2mQSb6xgM7swnEtKimtSbdTRpB6+bSxDOSenU7mpTIbr2crGG32WDob9ZqKTClXkBzoThYaJyy4JO2NVZSOrzymqtPLfgO76vV780yMuv9g067X39Vrn76jObmlCvAoihkMR5d3Ov1dy8s9gjBYUeZYjHLIGcFl6gzZLsArlYH5o6g+lw7QXcZzH3O2djVnzuTubA+lRKnFs4q7yrCbDNieEqWTUtiBtuPeNiabjLnLANNz2Dv0Ix49LDl0toZRPkpKAqmtpHLrNBwBPu6i5PeiP9Wpo88dlTjx2bUp5qrLenztYJ1YBQwSQU3acdNeIqycE+UeSFaiSLJqe+dXrmw0qfQ+Fu6KrXfJZ0eqTPqV4M5rgewO1AWLV8BtinNK8Zwi2Fy90jb3UEVFtqysPBXOhepYraMecdzblaajy7WO71jB4OcvLtHtDen1B3ZfeGl/uHSWD7dQ3e3BK5fcVVeeFaxdAb0LaKrJESVK0EtHmlgZIGz3vCjBbYNMUXSLewW4ZQXg7vAf221PAewiW1kwd0rg2cSO7QqKMcT81ZcbLCzUEaFnfXf3IhyvQXFWsEoBkq6yasWb1oo49li7RvKOV3d59PAEo7RGXwXUU6vF83JWJcnAna8V2djqojDXsvg4K+bthtUZNvZzKJ2vSKZ4boEsy+dSZ/sdVYEtV4C86GVaNau7AjNOHbmpvLaPboVq/r42gjgeMurPkyTD4mcVAP/d938SKSWLi8vUfHu1Vpt+RQXEuvK1S0iSVW6VyUmuNMHt1KmCJG+CzZMahQ53GVwJh8VzuSJRXhXggZcNAPLzrQOzDKdn8ItUvM6ep5W7p2znzrMn4KN3thjJACVVlr2szmQZz2CuzlqOk1KZTCCzQfMeYerxjtcN+ePP9XnyaJ1Y+fSlJEh15h6JbKMBZ/yaFEXZQ3a2st9V3bfIZfJUg1dYiAYvzcdKaCuFir7NsotKSbuxQSKcQLNg8rILiFXB/hwAhzGpUgVziUv3QvBpz+9n1D9rczUuwI8dP8OO7Zsa//e/+92dc3PzBWjcX1BagO57ovxA7vvjrOUCvAC3/c7V9LcYA3k+qcqdo5fLE+kwdh5k5lObPC/f5DXT3moM3Hn63s8bk7WdGVK0iOU9nUl2j1F+xKEzHt0oAOVl8sSMlceOXbzjLophhbaspNK1m/jxaPqCPZuHPHkoItUhAx1QS23NtpdpcCXsRq42sZQHdZo8yCyZ3PWWberCKyYc2PdUNjTV02QdRAapywkB+XSttLigqi2EtgbLFPEVDrhXQMIJQEsciRWvVwd79afFcUpzanbntbf+k0Zn+Sf7E1ObLcBPnDrHwuLy63ZsmfnZRx4d4vuyXErMGKgrIDelBrmEa+ICvSJLsvdyN2Wl/nbapRxWVJWhmjnIKUpIPSWQjixxdzH2FZkXbsFtAVwOBfJdeeKyt8r6OoOIxa7mv/91i4VBDRH6Vp5IU1lVysE5z81WxRKcTSAwrpuSpe6TxGOi4fFT39XlS49OsDAKiKTHQEqCrIeyHPmQAS6v+Mlsw7yM1qAzcOvMb3adFZExuCmC9BzsSoqMwa0kSnPXJPvdeZeVq8Pz9rZiYq3L6C4+VgG4MTmkHKCb1Zm9vCniJGZtsO5n587vvzeJB58sGPyRx5+lFgYcPXYSQUrgqYKxyyuFFa/H+/AudStY2wW4C/LitSgB7mQDpSNN8g6ZAthSZDFDdndA7UmJl0kSrwB4rrl1EVT6ni7A7Xt5/UWVvX0VEwQRH/myzzNH6iB9pJSEeWmscPcBdfowhVhVd44PNyr6Eh2ZkmjbcpYkPtfs6vOWl3b448/V0F7IQAaEUhRJHyUFcQGolUwuXCZ3uqrcmhitQBm7KthmcorZjpbVBeVYCXtRpc58cZm1tJUjLUyFwCqOSvH60hRQyl6xUiWs6AaDJEmZv3gKbTzSxG4M4QE06j61WkC95tnlW5UuCZhySahcOV8H3YVlkh9kUb5FfkBE1UkZlycyB7wog8yvC3BZAlw5NdReVpfiU0gRX5Vuie8MByo1t2Vv37NTq5bamr/5Sov5dgi1zD0RTjB2CYmCENXT6MQvK2y7IkMn0WnupnhMTyi+45V9PnXfkIVeSKQ8BqnM7EmRuTeikAhS4vIfZOydv6ULNi8tYC93VlT2PJsWrKWdCpwfdxfkQgrHzs3Pl2sZuuwtSqLLX39Dt0x353sJOen+oioEiGNJqgMMYeEheU8/e5C1a6d33P3Vh3767Nlz1ALPrmiFY1IFd/l8TCddkrVL4SXG3q+CWozpb1EwuRIUc/OKjnJn9rfb4WKHu1MFd76zQc7cymHuFQyej5soR054ymYujx0XHDxRQxMipFc055bVg25wXJYdiIK2qrUoJZMLR56Iwsko2s1SD4zH3u0RuzYOWdhfx6SBZfHUyhTPcXFcQJWBbia48zJayOqIhBN8Yme3Z0B3Yxul7UWjpdXnRUJLlmRUShSxMtgUwjn3BncqsIvzcTe1wtqV+pVqMtEShc/i4gXWbbryp3fvefHjF84dPu6lacpwMNqQpvr1c/OL1GthJY28grkdzX0pgK9qCzoBRmXunai+58qTQoc7nSsusItHRTYK2PXB3Xu2pbVywe2APNuv3s9KQ3P2Vtlrz4tRKuYzX2txaL4OQSlP/CKbOLYKsXJcxPitMvXJydppd3ezvIw28rhsbcSbbu3z0LMN0D5JarW4n2ZDPtOqVCqB5Z60DOTGOBLFkSsyey6zVUXmd3vs02zFkCJjdU25chTxh3Eu8nIDrtwpc1e04uJzMFI9SPmDqL5lXHzmzoqi113EmPT1STzaYHR63MuvICVtIZJ1T8aukAqYTeWXrwB4JbCq/iHlkj0G9Oz5eIDmAlqIKrALNlfCacJ1wJ3NJyy37WAlsL1yQFAx4s3TGcgTK09UTL0R8bUDik9+pclgGEDDw5MCX1Slyfjnd//OVQFegLw6wamS8MlAHiceky2Pt75iyOfu6/PggQDT9BmkIYGguNBU8fvddHkO7hLkVcDo8gJTls1TafW4dlg7D+p1bhdq4ewMIZxA15KU6yKVF74TGxRYEWO4cVHlvHuJWLAYGiXsJrtpmg+BBS9JE5I4AaOLrJ+73+RKFv/GdFPlD6gEmM7VXByE6kTTwk3JpYgQqzy3wJZ5ml46AZFyy2YNnleOUPayTZg8VQW6X7C1vStlA8wgiIijlM/d3+DZkw3wfYRUGaiyehknuBSyyuIrnCOHfYwpyxuMk8nM+1pzLZ7bhVHkceW2hDe8uMcTx+uMkoBU+gy0IkgZ+yy5F84Yg9tHM/ZZUPnFptFKoPJkihQYhS3XyPR4saJKkNqZZagdiVKMfRPWMhy72N3H55Ip5ccUK0i1ik37eeNEEsWaOElI4hTv45/4DMpTtNsdwsCzH9qIFTox/1HPWfla+XRihSwp/iBRBXqFtR22Llm83IGglCaOVVgwdg7wcnJqIVEy5raMbQqm9orH8rmfBZeeigmDiKdPCO64r0F/EEDTR4q8ctAp/loti+msUO6pM8UJy1LT7mzt8YSPU4AVxT6tVsQbbhvxqbuHPHE0BC9gqCVBpsWVthvsukkzkZIlW0Q2j9jRmKp0cqx5lkkXadk8X1XyIF8bC3apy0Sb0OVubcW51E6wqd1V2RTYGCe/b8xZEWOx4FhKH4/DBx7nzKnDpDrFW1xcQEpBFMV4XtZvtJpFOGaqXxLgq33oPKC4hDTJwZ7bgaWDMsbaWXo+H/Gbg1s6wyNtO1f23HPng4+BO7v7+RTarMDfU4m9ezG+H5OYlNvvrXPP03WoeSBtQ7PvlPBWSmPdu/titZNlnDvZCcp3QMgclVTLCtBHQ5+XX9PnTS/p88yJGkniY4RiIDz8lOIzibRk8fIjrM7k5e83KJVZhtKyuX0tkFoUOrzw+3NGz1fbjMEL9l4RZ5V6fCV7m2I1f65bNfAUFYCDPW6dbpf+YIQxBk8p2zFjM1YlKlcElu4P/wYBXlyh2ZNVAe60dUn3UZZAr8oTN03v3LMdC0qgO3ev3AQ1B7TvgDp3TqxjYh+Vign8mMePSz765RYQgPQRQhVdRCrbSHW8QKw8ibnCFGMAc5gHl7mr46Z1alv37BRaVaTvjfF456sGfOH+IQ8fsZMEYq3opyIr+MpAl+ZuhVnJltlnMcZYFneBjq3NJwO9ltl+PnlQnGtvmbG5sA5ekXXWjpMjWblSF5/FOLFK1Ub+ercVgWZGwNrY2CGvY/TsU1F8ACnLmu78D3QZ57nQ7ers4rM6wQXFH5p9j8CJtvMDIDKAl9ZTDvCiPnwM5OV2HPlz4wzAL8FdYW3nMW+szaWKUgm+nxCnCXc9WOepw3XwfZA2uAyEcSbHuoFV1eqskncVWsZ5UjRAODUilerCVKJV5qikHqPI5+pdQ15+i2XxQWpZfCQChhq8VJSBX5rbhQbSsYusyHGYFZLUSDDKII1AGWz20wiEERhhZWwhVXLnS44dDyGyLd1LeVJl72q/apW8Lx3tVQLksUx7PppZZcfW832VDY6RxLEzW8PkB0A6P5gqjYvqBVd+wJw5yqtSulfquA53tHYF6G79iaDYe6fcvdhUdLcL8PyxAm5nKH7hnqgU5TkAzyRK4MUcOif44OdajGIfGn4mTyha05S7S7DrnLh0eSmJYqpAd2VKuaVLOcG3qsU9mqHkB97Q5/Z7mhw4Yy++VCv6qbJVhmmW/MHSq0izsRzFmcyfld5YDnDpSCeVaXSpDUbaldVIYQGunXNmKJi7zD674AbteuE5JgrcOLDNV3xWP3Yu0bpWIcaWGshEZqUIGvXff+s31geh//+ePnVyL+QsJLKKtJJR3cRLwaLu12X1ea6TC2tPiKymOJccMrP28nHA2aOSFctv/J6PTHA9bi+3AguXBEeOOMPwnb16ymKqbPcHLy6aGXwvIpURf/zpBn92xxSEIagaSnk0lKGuTDaOgqLB2Xda48pMqpuIkpSTYakEqGUsUdqOeRwhJEjltovZ58Jotm6IODMveeSpgETYyQNaKISwpbRV/7m6iuZIEi6m8gDOtX9NuYqXFRqmImeqXVxOn0AuIcZjDefrbh5AU3brwHhHz6XvxYYLWdlvnBiu2POCDddef9sXvZMnT051O503JnGMp7xs+KHLKm4xTBnBVm2d6oEr3RPhSBSXscvHqkRxLiCHCSoD2Sv62zj6O6voc+VJAW5nIyplxiRJXimYs3eM78UcPCv58Jca2Pkrlr2Lzn23bU44nxfGAEWF2RFVAFXAoZ1kS27J5YNL86ymkehUkapMi6ce73p1n0/c1WDfaR9khBGSYerjkdWL5Mc6zU5cmid+SiYvpYkh78xSzneozOmxGtzKFpmztrG/w+jMH9dW3mg3wHSDcFk9NrjHyF3wxtSBA8LxhXBFoB5FEb1e943nz52e8qJoRJIkBbOK/JtFfuV+fdW/QnMXj7nOdiPnqixxD0BFw43VV0th5UjR3eMGl8U+M448kSW4iy7xbPSw52XD8nO/WyUomaAyeZKqhE/f22TfoVJ7SyGt91100IydPOdCrpQA4xybVc7ReANyxRN3JlJ5WtjaFFmm8KPY48rLR7z5JT2OfDgkSu2QplR4DITASzP7jjyIyx0VAWMgz5d7Qx4L2EelDEaWskVk+tYIU6b4BWhpga9FaSG6UlTnzzUV4I/bha4scTX5JVRe8bnzx3yf1jiOiUYRXuB7BL7MkibuRlCmWLJWTcePM7j73ipa271SBaIC5sqjHAe4qVpTomRt+74uvW9Z1d85uHPdrfIgMt/iRGo8WQ7NVyrF92OOnlP87scnGEqffIJW2TWfXVjFPjbVDbEqVPQct+rynbkZxt39wg00ZVErnoM71R5J6hOmCf/4bT3++q4GR856oGLQHrHwGQiBSvNja/V4vr8mYyDPvXnjICZ/TxqbnjeYAugqsxFdNjfZ79HS/pvKyjwWcxWHSlRLprnEIbxkNnjME7edUYIkFSRa4NkxEOUPEaK8ep/zRLkyhOqHW1WaZP9mHNjjIC82bXLAnAPblSa2BlwXrz1lu0pKcOvqXWqHydPqXVoW972ITqT5w09NcOZiCMrLrEGZyRNT8b2L56zOSuP7TK56gnCX2ZVbLZb715Tz2ItmCKlIE4/NsyN+9C1dfvmDAe3YBgTGSEZaWdswzUfIjQebJchLYJdhqMoSUK5EMbLER971ldetFKuwwTJ5diz0Kufa9cO1y+KrSN3nAnj+Yd0gGVP+Li9JDWlqP2jpmYq8WPDS2HbWEvdqdOXJ+NVaFFGxCrjHgF1l8rJdqgjG8joQ5cgUaVBevp1JCWgrR6qAV9mQyfzRUzFeGPOx20P+4K8mGGnfyhOhCnlSNBVLVjoFznFwJ70+F0u4J6S0Cl3Q5yl7g9baGVeWJ3/sVuA1L+HH397j4ImA93/aanFQpEIy1DbglGn+ubKzj8NqzhptiuxqxtQFyO3nkcZe5EWQKOz3CGEx4wLdFIFuWU2os3OcS7lCmowlgCqPY4dQPNexzP5dWXAny1pq194Sl/ph48TufED3Q7lALq7MVRi7ElzmSZPxoLKiu7N+QFXWYdtMpi6DzIKtHSaXZXVg9THJfO+YxSX46y81WBrl4LYA92U5WcuVJ5VVJ7fLqAJ+/CC6Wjs/MWWyhzF5QrkljB6rE5cSpRVaeySpx2SQ8rbX9PnEvQ0WugpkDFoRY/V40e0jXAanwuSFbYndriT/fMpJCuWVhooqi1tAW/bOgb5ypc7s40wllczuNmesxNIKLf515J/V4ZCkdmcKZD7mWYoV2ZwVS4MbOK1ypa3mHuR+Z16Ev9IrNRXnJO/xKwAtcgvNtdJM2UaV62/pgFuaTHqUAWbJ3Dlrl+ztNxJu/0qNB5+qox3tbZsacnlSrTcpai2oXszufTxwWskWxinaLyXKeDOEO+gmNRJlSl88SX08nfCiayK+/eY+f/qZAFQEQmKEYKQ9lBAoKAPNfLWufMBS0BZBZlG9YYo+3fyzSWE1ucxkixZVoAth5UuOBS1sNbrL6jhYKeWtqRwzVxVcGpMOwHU5EsPLax8EIlsyqv96/IetppGq+rsK7nwpqrK303VSkSkOgBxgF3vPj7O4w9ilm1LuuJa7JXkyR6k00+IZyKV1T0I/5shJyQdvb3G+G9j9rqUd9K4E5Y4Nq6w+1bt4TvYev1USPZTMPj7optj6vNJ1b/fPsY92+5P1zZQf/PYe9z4VcuSCBBEDCo1kKKSziZQ9B9VAk1Vel8FnDu4i4DTWXckHGOVS0jJ82fRgTPn7chkjHOkCTr2MdHpJM0BVCaK6ArgfuXydBcMZYXpu6eNzap4xNqq8J6rPx4Fevl7dXnM1d87elQq9AtxVkOeMnXvfKh8xptJMi+cBpXaAnaBkipfZgkEQM0o1v/eRCe55tG5726Sdhy6ltF07opy/Ih33ZEWAOcbk40uri/WVGczStSgGLI2l7MsyWttupnNHJdUk0kMlHi+/MeLH3tnhF38vYJRIm4HSkiRzVaRT2ZdbhOX8QPtJ3VhAFR9OFAGlMVl3fcb0UmC/LnP70JbIaiGK45UTYMHoY0Qosb+nsk2h09Z2SV2e1aCUr+20MDtP0+B5WWataJRdhZ0vJUUqjL4asIvnpgLqUqo48zwqk6uy56rcf754nYNcODo809r5BFQvm4iqisecsdPsdVIwuB8kfPlhn0/c02AU+VD3Cu1dsHd+QY2x+ArmdlBcqpTVm44rdc2USbQquDNAVXR4mbqX2kqVHOhJ4lFvJLzt5QPuvGfAFx5W1jYUtmshFh4DnBS5EYVkqMgT6bwu2jiduhSZvSOyYfUiSwga7Gz3QrpkepxSZ+dmRqVfk9xiHMfceHOEI6uofk/p/9i5LmlqSBIz7qJUf0FFsYhVgP2c71X94ZXBxhh7y/L90hIckykqT7KUwJaFLMnuXgnywkVxhrkX2lvaKbHLPcPt9zY4cK5mpYmwJbEi194im3Y7JqFWrELFxS4coD+HPsnBbcizatXy2Vyq4KSjcwY3ugp0qZA6RWqPeOSxe0PMt7+0x4P7AtqRtADH6vEIhSTbJa0C7hLUqrhEy8BTYdkZ52KUstTmec24zsgptzzdIFIKewGU24JnzRCVY2cugbUS3MVMT/e9HOzZa6WyyWZJaiPOjOnLk7cKO+Ne/eNXnMvWMFYmmf/s6ii2/CJwt+UWrjzJmbpI0Velirs3vXJAXgkoZVp5zMHtewmalD/5TJ0/+HgLIzzre1fYu5QnVWtwJdCr2TenyeE52Ht8jmNVf+dMvrKVrdzGQ6NTiZbWF1dSE6c+Uml+/K19Dp/1+YNPeMRJVmOgJRrBSEiUHivhvYQmV85Sk1vHVn9bNs+3Ei/1dMbawqBM2T5n2bzs+i+wVLgtGfDzj+OCvXjPxaRAGOdiMNlFlLlZRT1Q3r6lVmGncX3t+pblLzRjAB/7984VOu6SCAfQpZNiHMnizMQbkyXF/vTSlF63dFm73LNeZTsVqMwSVDLGD2IOn5d84q4mvZ4PdbWSvYuab0c2iTLB4x7w8ef5yf56HG4KdDtAxwV6Cey83qMAusyBLtHSanEpPeI4pdVMeOsr+nzuq3UOn8syZFg2T7VgYCFkP2Pu6RkH5IV+EiAtk+f9ArkkMZkzk3vfxuQxVm5YlM3H2thzanJGJ/fJyYJPh9UzbOTgd52Vgs1NiTtjHCmj81R9ShSnePV6yHDgF/2NKxh8ldfusjD+ffnVvKI+Q46/74z7cpI5ogB2lcUrskSU7C0rWrtkcenKEmlZ28uY3PMSRrHmzgeafOmxuh0OLn3yzbZWsrexE7Xcz49T8zzO5M6x+EZuBZu7lXfZe1aHu7sd2I54q7t1RY+nQiJTiRSKeOTxmusjXvOiAac+6zPSstDiIEjxGAls0Al2aVciGzppAWWgcEpU7pBnaXqTAdRg2TdTLZknXiDTcU0yR0g45Q2mvBBcieJahuNgx7gSJwN7xvwy0/9ag5QeSgV4GzZsWR4OR58LguA7hUkpt4YeW4LHQJ2fxGpCx1T1qPPHuYGlW8PhPs+nlOaZSumA3J1o6sqTSmDp6G3P2b8+T8VLaTt1ZJBw98MBv/KBSVLjlc6J9BBCFlum5ExdZXAH5JJV2bsCbvF1kI0D6IpMMRW5onH31LTlx4VM0bJg9FQrpPZIEru/0M/9UIcDpz3ufkiiAwG5Gy4Ekc7VtiNXsngAZXeDqP4hJmPvXJOXQLeSIXdZ7HvabUEcA3qODZfR868zDnZyve3GdiIDfXlxmOzcBEHAxMTE57Zv37qs9u7Z2ltanD8iJT9mdFJMjBovdnIr+4TzvCoryn+XF0OVjQquh11WArq+tsx7KvMkjuOalOl4jet/e+PglmllAyWvyFqWvZanFwW/8sFJ7n2saTflkUFWEuvhKUFdUmwo5Uuzsna7cs/q3oshOdVhRHnNu1RjDdOOri9fC6dUYeVxL8uJnR0VnFV3fBCmMIa1MwmhZ3jwyYDlgePRWgorJkAJysihrA4VDrSdq3Ws+q6q3Msr2lSkl1jln1ZnzLvfV36zqMQqRbA4/jrT49oYwjBkYX7+B595dt8BL/Ts1hcqK8X6+hp8Fc1dubJWOiXVscjlsMaqB+7KESrSxA0qpcgzmI4scV0UNWYL5qWw2fM0SPngpyb55FeamJrC7v9p9beQstjFLdfe4/p7Rce8s5yWAcrYbeztMiVexYtxvuAGmuPNATprAC6SPzK3EZWdByI0UitS4SEHKW975YBnj/q8930eUZg4J1VgjM8oa0XL/W6RGkd7W/gW9eEiy25qp8Q3uwitpWkyqzB7D4oOe5MdP+Po7AIvZuV7hfbO8Zt9bGmKj1/FaGo3mI3i1F68xuCFQQZADGlaXWIrMqPyugR1/n3j3vZKoJdALu21XK7o7GesLk9yzZ0HltJ1TyrvuZq7TOrIouYk5QsPhXzgs02GaTYFX+TWoMx2dDMV7V1pvhjz858zVhmXKpfQKiZjnxxIKzOaZkUJrZGOJy4dZ0WYIuDUWqOlJtUeoa/5oTf1uP+JgC88Zu3CPOAEgcazIM9tNinKYpJMk+cGYeGkSIHSmWSRFDtIWn1qSQwtHFBTOCzSkRn5cTOuBM6DVMbBvsr3OheBwLasxYllCm00XtlUXLIUlwB1AXqqIK4EjytAbgrwu1tdlNrbVFg9Z2shxrOXLsCrDC6zum65IqmTIrMAU3kx/RH80h9NcvRMiPHK3ZKRqtDewXhSh5Up+tWsVFFAWFTx/ByCfLXReG53Sr5zXTm7WzhM7iR/ZFZxKHVZaSgUItUI4SEjzWWbY/7tD7e5/2dCusPsD9Cy+Fyp9BhpCpAjsU3KWR14Rt8o6ZTXZu5H9iXIgG6yY5K7JDlj50A3xbEcA7qT1s9/fqW0wHFVhIvTIoeTHZ/UXtzGGLx6cwYpFcNBlyias75mfhLz5XUc1JS/tMpe1QROqQ+rPnc5AdWskCbCAXm+sZIL8vLRBbe2fYvujrxOvYnnxSQp/PbHWjy2v2Y9b5kzt0dec1Jhb1Hag6van2PvUci3cujmany9gsldnVopuqLsfazIlap1qHOHRWQsLjNvXGT3NJMqWnPD3pif+u42/+0jU0RphkiwTG4EiVYM3QtR2g9mdLa65FlVTJHRVNIGoyr7J3kduHSkSzF0qMLiJdDzScNFEid/3xjne9yv56AWlXOBMBitmZ6eZGpywm5R/pKXvZ5arcHxo8/y0P2fQ0m/0IwuiAspsiq7u7q8qrGLPwDKKsHie7QjW8a0eAFm57lw2HucuTO3RFXuWWBZS/niAyHv/1iL9sCHoPS8ESV7+4Ji35vSs6/q8JK1V5lB6CZ4cp95HNKm8rCiW6oCdBfYuTRxgZ1bhjnDj0mVVCqk0bZeJVFM1DQ/8vY+jzwTcufXFDSSPCuTAVqQaMkInL/ElH+0zquacqTlskRk7F3u6JAzdV6/kjsm+UiQsggrB72DF+PENqYEb5EQyi4ekXvhxn4+ISCOEl54443ccP21dLtdOzbC9z08Txaak3EAZxd5lcVXYe8xxi62CHSlSeGHr5QmblDp6m65gr1T67i42lul5Huo51WCUiZIL2H/cY/f/egEh+d9WwUvHO3tsrfrAo3LkVWYO+e6FfM9VqqRqkpxWLsiUYr0vNP4TbknaVlhmAedohJwFt64tO1tIpcqwlipEht2rUn4x+/ocvy8x6EzAuO5AkuA9Em0XMHkRmeSRJpsQK1lbpnJkqLbJweyLP82ox15Ik0WdIp80StYvbL6FzUr9ocU/57VZQ1ZkinVBiElnu+hPA8v3yY53/HLrdleGdWOs/VKvT0eWBZOSQHwcouL8edFUVW+VZ0qWVs64F49mZNbhDaolDIhCBPOtwW/9L4JPvHlBsZ3pInI2VusYG+333L14ioniHRe477ngnyMxiusPQb2/L2VNSmrSBRjimDTSJm9tnpc5gGnkGih0EKTpBpfat76ygHtkeRnf11xYVlA6FKune+XGMnQULC71cRZMJwBXolMn1f0t3DclBK8JlsNja4y9jjQM3u7wE0haxxWz/3vsmwkuxCybYiKufFSIIVQeF54Xkp5x+TkNIK0UqVX+tuuN+tadyvvxdcElfdWJm3yMQ+6cESKRI7SyEpAmVbBrUpwyyyYlJlrkteaRGg+fV+dLz7UKGtNZG4Nuuxd7hpcWIOyDDDz5NWqhVYOM4sxIBeAX02LjMmVFXMKcTc8pdL8kNuDRSIoS/64fZt25ISTyjcSbRRJopBa8rqbh7z5xX0CkUKSgHbuJsVoQ6JhqGGkBbGG2Njh/LahFxKT7a9p7OtU29meab7vplNLkxqnESH7Xp2Vtaa6+rXi31TeM1nrnru3Z/51+7UoTplZswYl5R21WnheKYXcsm0Xh5798nElR/99w4ZZlIyLxEVeC1LacdU+SCkvdc/S20ozXjdSKZQa684pgsdKttJNw7v7pufVgWnFOZFZnXciNJ+6q8573z/B6XlHd4vSOZEZuG1wmc/5duKE1VaxFVG8y+BOLfMYgRfPzKoYH9PgpRTJnQEc9i6YXGc7YWa7phUNEak7fllljcoeaeqhtUccKbbOaH72h9u85ZU9fJFAmoDJ7joGnViQmzGQa1ECu9iNogR0+Xrl97h7cVaf53FEFeypGfs+k9V5O3f3dw5HCWvXrafTG/33T97+peN79lxh9+hRYoQSBk9FeMo485zd1Gm1jmRFsdUl6kxKyeJobicTV0iSiqOiS8niTnQSVVkiK2B32NtPOTYvef/Hmxw4EkIzZ+wysSOEHTdc7NIgXd3tlBFQBpurJb/KoZHVuu9xNrdfK12USwEbo1cvm3UbknN5gk36SJFNoxUCYWTBdml2jFNUdqxlAfZ4ZNh7WcIPvbXLQ08FHJ+TTqlo9kcbMMYjQRRyxUiTBbxWppjcRXF8byMym1Hn8iTztaUphnTmTkpFwmSYKQNQUViORWDpyOciVZ/JlCQ19AcJ3X7EcBQD2SZU6zdfSRDWiGPNubMnCiCutAZXCzLHrEExDvpxze2mlKtWYDXIrEoUOcbcZbCZed3CsrfnpSx2Bb/5ZxPc9VgdajlzZxnLTJpIQVHv7RXd/qaQJ0pQYe3x0RDSBbooYVvuZvb1b25wWU1pm0oAWupwMkvQZv4Ke9CAMBJZaZaw22xroRG5hSgkQigE9v20r3nlDSP+6bs7/Oc/kiwNsl+agdtqWoGRikQLhhUHRRTFVmRa3GTyzjjWYZ5Tyj97nqiRVGO+cVfFeh1OQOmujKsE/RiD73tcsWs7N994Db2+/WMkQGtqA7MbrrxzcWnpV6SqYZM++WDLai3ICj19ifcrtdvKOJJGO1JkzOdWJZDdKsFLgluVzJ27J0Nh+L2PN3nfx1p047zGO2dvrwgsPZFvv20L/3Omdi1Sl83LwNHxXl2N7QSWK6XJ1wG5++gCvtDkogL0/Gu6IlmoaHJ3cGfe3pYP8NQmHxzk0fLgx97e5cff1qWuE9Cpo8UduWIcuWIEkYYk095xJlkSTaHFdS5ZTFWS5CPpSslBRVfrVaSMlSKm+DeX+p5Ws8bS0vyv3Hj9lXdu37qxBPjU9Gb+5qPv7Q96S8d831upuce1tQPs0gEZrxup6mwXyMXPU1UQV/sstcPuVXDLAtyl7pYqAV/z7BGfv7izQSfOJmPmsqQAuSy0tydsjYVbJVjxu1nJFKuBWjjgr4C9FChfB+RiRYFKCWYx5p6wimVYBp1lxtPONMwDTvuo7HvZ3WhFEnu0PMP3vq7HlVeMkGkKJrvnIDcp6LQA+UhDZKwmz0GeaOzAfvd1Wu4al6wA70p9Xm6nWL5OKxeBWRXsaRasSuVxcW7x2L/4mf/c37F9cwlwgBtf9CZuecl3smXbLrvUq0uBdnW2zuWGC9Lxr1eBr8cugHF2L7W2p6rgdtPw+WvP1zxzxOenfmWapw6FGN8tpFIFuIUbWDozTsa3ARy3BlefXiUqGC4uCgfh3wiLV9wUqin8cYclE4erWIZlfcqK93KQazfwtCMnUqNIR4rrLo/5nZ9d5updQ4hdcCcVoBtjiJ3AM9J2RJoLdG0seyeOo6Jz12WFs1JeAM8JdMelKVjdAftwlLJ3z25+4N1v513veEtxaL38SWtiGs9vUK+F+CpFKVUERtXAym05MpX3yuDR1d/Oczf9XmQvXe1dZW0pMnYXLrhzxk9RwiZ0PD+lawT/4xNNHn82JFXZoJecuWVuD8pCmlRb0aq+98qYouqeFPFj8TWnq3vcKnwOhFfmXI+D3e3TpNwbZ7VCLJnVjmtTBplC2/BXCuuL5zUb2kiENohcj2tjy61Sww1XjvjJt/b4uf/m002zz57n3otsJ4Aiyf+wPAGUZ2MoPXIlHF0ubIMz2Y/K9bkR2JmJUCS4slxjeazz9L2hosPL2hRDlBjCsM762bV0uv2VAJfSQ3n+4SCsH6k3GrvSZIiQcuW5qmQ5x4JKykSOC2y39kQIXQC6CnALXFFcALlMyX3uTM6IjLlFViXop/RTeP8nmnz0i01GOZilV3VOHGlSZC0rEmVlUVVlx7TVgksHwBXgZ0cr3wTgOcl7DOQ5O7uBZtZVQNl1nyd+ykH5Ocht4CnJZ5RoIxBaIpxgE2EQOstwZg5LmhoCYXjHa/rsO+Hx/o+36MXYA6Yz1BVDLAGhSGS5nXZRryLstKv8G90B+7kLkxtKQpYSIs9cIpz6ExfkrnPiHncg1ZpWs0mr1ThSqwWHR1FUHNNCokxOb+Hcsa/eUa+3PjQ5NZPNytZcKnAclyaWbd3X5fzAqvxws5JVKSKlm6FcydoFuLNUvKcSuhG871NN/ssfTXBxwS9quyvOiZDVwFJUi6ncjvkV9TY5ozjAxv0+SlbJj/iK977OzQ0sS6DngWQZZGqqsmR83HIlje+MmjBZq1ue8DG66pHb5x5Jqtgwo/mFH+7wj97aoxXmHemOZKnocisPRsbeIy1WBpwmky+mTAxpXU38VPV0LrXchmtHsowljZIUhpFm3bpZJiZaH/rkZ756x2U7tqxkcADl+3he/TOhb94Sh/L6JNWFPVVeNCKTJjmTV73uigdeKY/VlfJYKbT9ujSo4rkrUdLsokltMFowed68kCJrhk9+psF73jfB+SXfDrmRru4uA0uV2YKeKPfXydl4tYlVK7W4qCgQt9ulDEj/Z4T3KkCnBHouTca3GTQFi5NJEmunyQzUQtjmhUKqVFjcFPahMNk9Z3Jj7CzDkWHjdMov/EibhY7kQ7c3oZYzuCj87WxSD+CRakHkWIFGmtL5ySsNc19dmDKdD8VoiaKEljxbIBypYnAUkFvOY+WX9EmMfLzZrH/GZFU0KxgcYPsVb2DpzKfu9b3Ow4GfVfu53SxuV43rWcuVTF82Lugy4HS1dm4vOhWCOaCVTFHCYXMH3EUxVag5fNrjT29vcu5iUILbzVY6gaXn3NU4e48zcu7xO0vj+H2l3hbO/x1C/zoafEVdinPycO3B7Asui1f1uCSfoWLyPX7Gp2I588ZXbDSbDfLURpFEko1rU979bT12bY0gyp2VzEY0DoubFLJAb6QdJs+CyoK98zS+Gct4Zs5QalYGlyWz28+drsLqqQYjFPPL0cP/40++eO+73/H6SwMcIGzupNbchRZNZ0KoQY4z82p+96oOi+OMjHW9y4yd5QpZoh0bsKw1KUauBZojZz3+/e9M8eVHalCTJWvLUnPnIroILKUZy1iWF64rQyoFZ1SBXhTYOUy+Imvp/BvcnyOq8iNHc5GeH39/PKjM6lDLenHh6PBqlWFRRLeqm+I4Kib3ya2zorVN56dDyatfOOQ//VSbyzZHELuuyphXbpIiAxtV6lcyoOdOi666KtoB/QqnZMxFKRJYFSvUHqrpiTrXXbmda/ZsXUEi3vgbs9u+DSlUtLj4V5jePlD5iRrPYjpyRJrSSRFlkJkzezWjWbL5ClniuiXOc/eufM3xix7/4Xcn+eidDSKR+d24AeUlAkvhVAo6K1O+ghaJnVWYuwLeDLEusPPjwqUymS6TG57z5o6NKP5xJVU/XpyVOSqFRMnki7az/YxwmF3IzJExjqNiJYrWNui0v9JQ8wzvfG2fVMO/++0pTswJ8DJ7JZcpK2prJEn+Qtt5Q+WfnHslZc7X7t5mL+CiTS37G/OEakkm5c8qXS3N3l0b+LF3vy6Kk5Rf/cWvA/CgNkut3vqZ6dmdV40Gx1+pkx5CyOwk5mMh8nqVVUDt2H8rHJPiayWohSNFrC7PdHcB8CRbAWI8T3NizuPnfmuSj32hQSSzrddWJHPGPG9pVjYPU+0LFf8zd+dgVwJK5+t/q5ub7DEZGAyXALao6PFKEVYWeBrhjn6TVs9muxFrLQuY2YC6LBTIXZY4Mfgq5XtfP8BT8PO/NcWJuaDcJVY7B0Ea588QJHlgrLOUvsztTlHmHqT9x3lpbQH8XHdTSn6RpfVza9AY655MTTS5cs9lX7li19af6XS6Kw7pCrqpNyY4e/QznXo9PFALZVruQVOtI6lagFU5Mu6YFN/ryhOVVl6LAtxV5raSJkF6mrOLkl/47Uk+ducq4JayAm6EcAJLKjsAl/XeqyR0xkCcW1LjhVbjWcyKAh8rvPq6uDYltseTOxUd7qbjYXWZsmKPTSezObbM23JaR5O75bVa2UxnqvBSeMdrB/w/P9Vm45o4c1bKvuqmpAAAJiVJREFUDGfprpSa3BhbbjvSMCwSQnmyp5QkicaRTW6ip0z1j+tuV4oJ5ae1euPAB/7ijs7k5MTXB3h+i6POT0mv+aQxqlgqq2DOU/elPZgHla63XQG1e18loVNkJx07UMrYjnvw4A8/1eKjn28QKZnVmLjMvdLzttOp8p0ZyjEQuSQpZVW17mSFRFmlDFaw8o1vwPZelbSrT6rP3UKs/IeXHrjIth907MOMJQtdX9Sm5Pv85IB2QZ6n7sfsQ5Pp8lTiJfDON/T5kbf08NJ0FZCnRd2Kfd9+Ym1srUqUpfdzuzDO7MOiXiULSN3XOi9NcGzEYpETdl/Sqcnmk4vL3Z+61PFdFeCbd307vb5J/caVJooDtLP3uOt9lxIkY+Gx6r9VmdvtvikaFaqp9+J7hA1C8QR33Fvnw3c0GBUVgS57uzJFVNPxwq6o45LkUin553JOxl0U4VB8RbKs8vw5wT3G5PnXXGbHDUJdB8Vh8GqwWmXsFRuoFtNpnZHM2QWQB53WWcmDT0GQGr7n9X1e++IBInXY2wV5zuYF2G27XWRyl0UQmTJtnzqgz33waqApCsYv2Dsj22ZNctuNlxlFnP6j73vDqsfY4xK3zTtfTpIMP7w0d2iPic80S8twpaZ2gZ8HkqLy2rkIikDT0dwitReHyAPNBCkSlJ8iPMHf3FPnZ35rimePhpaWVwSTVWni5dIEd7ZgtddyRSselwouxRhox/3w8jbmGH69WPKS3+AGl8Uuw+NBZR6srdDkuf4uffIC0Nnn17nLLDQi2+vSpvdl9j3lhxOZHgdQIuHaXTH/9Z+3+dcSbv9q3bKHq8lXpUxbrxmD7e3MDW2Tp+2tnCzmISKQWYOzEfmPtP8mjyOMgC2b1va+7bW3fbjRqPHPLnGILylRpme2mO7CE7+5ccvl874Xl+WuFdC6NSQuaFcyt00Vfx1w5x63sJpbeIJP3l3n5/77JM8ey8Atxxm7Cm4pst2Iham2oF3CQXlOFmfl+yvAzKWZ+jnVyphN6L5f2oA54EvIVZNBYqUmLwC9OouPPxpXqoxp8YLJc6miFTqSXLU95lf+aZvvePnAphJTxxvXTjVicc/2yclYO8psxFHG3qnD5mX3jih0uNuql2dJB5Hh6qv2zn/l/qd/c+eOLZfkkksyOMC6jVcRR0sMFu8liXrkA8vHu3Gg2okjqBZWuVJGFDahRoiyE966KVkiR2nw4JN31/k3vz3J00dqJbgrgPZwPW8hsyYGnG1HVmtBW2WK7nPNRV9RaJ9904qkjytVxv3F58K5KVm7IsUrrO2CWpddPmTTHAq2pshgFnZh8ehkNvOmiMyIExndCW3Q5A7LKlcjQAzX7oz5L/+kjTHw6Xsa9n2Vfd1+oIqzkv9bgyAlkxyyMAWLi1diJ9nmnfj5xmhOTzSJgcnJCV5w3R7WzUw+5/F9zvaTWnPzSAr5k43Wth5UmTuv8RaiTNAU7oorN8Rqrkj2XDn+tkoK/Y0Ht99b5+f/+yRPHwlXAffKoFJkksTdkWG1Ethia+uKVXgpsDtyxAE1rMbmTp/m+IFcBeerUk7pla2IOVezAvOLYMXFUEy9GrMNtRxj7dUeVzoqpqhfUcU9jSTX7bRM/m0v7WfJH+0kfpKqw1LcNUZbXR5nzRKxKZNCZbazDDDd4NMyuWbvFVt6Ssqf3LVz4+i5MPycDD4aLuvaxO4H12xR7c7SoaZS0er6u6LFM/nhlMiqsYBTZsztMrgSKUKlGCX57P01/vVv5LJkTJJkLWerWYK+45qs1sRwSUmyWnIHKgxd0eEVq1CsDur/WXDjSBDnm1yGN+Pft5r+JndZKFne5Jo8Z/ayeUJoadvajJ2lYoksa5YA20epZWlIU85sIYKrd8b8v/+sjTGCO+6rkUKVNnM2L4R6frOlBbG2OtwTEGRsrrPvzj1xmdWv2KpdQzMM+MF3vLJ93VU7H5xfWNY8x+05GTyob8QPp+cw8TtmNtwQKzEcaz64hP0nTDE+TYo0kyj6ucEtNUZJvvhQyL/8r5M8ezxYhbmziKZgb4vW0jVxRz+stmlUCeSygWH1GYzjPvclve+xrzP+/Bu4lZ73GNhzx+T/196VR8lR3Oevqrrn3JmdvbTa1X2wWgQWN7JkGWxjgw2EkDwemMS5eCZ2II5jOyYhlwmJbYwT23EcSJxHCCFOQgyxQDE2xvggxAgwWIAkJCEhS1j3arX37sx0V+WP7ur+VXXPanUuIqn39k1PdfVc+9Wvv/p+R4UvaqezSe22t15HkX4z0pBuSchDWdGMOozLTFAZURC3vggVl9CaVxmWzq3jix8bxDsumICILLl/mD8ZeWc9LSVG8mEoGxLd3Asz+kcmfFz0tmX1as27pqO13Ddv9oxJf9tJAe44LiZGtqJYXriruf301wrFQlhWgigq1AVPFpGM6Nu2K56CmzMfTEgoh+HxZ7P4yOebsWWHDp5Kcb9bsSY0ediNqIkyKYltvYGYihBwG/EojCUseayFxyY7sdgMA05s1SUV2JP1p1hw/Yq6ZkoyXiUOk41rqZjZP4ZeLmO5UClCX8KaKjS9LQ3kEWWpMfTMreMrvzeISy6cgPD9MArqcCCPge5LE+R1Qx8PaMpYTSJfLuPCc3tfO2vp/F3rXtmBbMY9eoADAGMCtcFv73D42I3FljPAUAcoHUl4HyVRRWgUoAeqc2twC1dCOcATz2Xxu3/VjC2vZ6AyaUpJSEt02d9wewUBsyqVpicCRPNG4xiTRvo3bGBbHDsGOzXYKrouDfypYNZAZjAttE58oF5OZY+xvZsspY8AHfYkSPFwkiTliJdLbvUHIPcJyFWVoWdOHV/6+CDeeeEEuC8Dkq1soHvWnx99IV8GAK+FgNbWXKso43UfK89fgoFx78a7H3x6hyMEDtecww3INS2E5w1DiKY9db/w34pvfrvyh8K9NS0enqJzU1oSWe+QsoisxM6DHE+/mMNtf1/Clh1ZqAxPsdxEMeEiQp2wLDeHWXbN1rwTJZBpABkFNViCriCKUk5BLuUrsM5Ntan08ban06Qj2oqrBH2hdCXg3gGIgYASB3HbYZ+MIj6CbXwiyYIHdQS5jAKzwBDp3RyBodaN130smVvHlz8+iE99VeKZdTnsPAjADXk4DSiBzctFoHtLBo/H4Aw0ewWhfMzrLON9K5f89y///Io9gyPjqJQKh/1Zp1TEw3FKGNj31FaIli/nyudAqXrotYyVkimDW2vdOYktu13cflczfufzFWzemQ0t9yTgJiGwNIFBW26d50d3U44AjRTunWa9YVrnGKymtzKQEGnaQ3xNkno0QLqapFtZVhvmYpKOjS28aZVNkFPdm7jBbeqiz2nXvdbEjZhyYVnyWF1RNYYlc+v4m08O4E9uGsRp3VWgaseTN/oLl8gh/9bWvCqBat3HpStPR1d705dXf/vZrVMBt54kU2q50kIIt/Ic/OHVXO64Wk5sBOMiBIO25A3AzYJjpqMEc8DW3Q5u/7sSHvpuARO+SF9QGuAWEXI5QApmIlH6QUAlJMJEQBViQJsbaSFBQ8yJkYRsYn15JJab4Fx78bTuq6261oqj8Y0iCVns3ZSIdfFAJkRU+dXc5EqLIyz2akoJJlRo3cNvx8MsIQkAMvhfpVpyBl730Vnx8YHLx5DNKPzZ35axbbcLZMMhDT2eACCCyc1CJw8Dap7E289ehJXnL1l94VmLntvXNzTl33bKZZjyxVlg3v4dTe0Xf7RYLK7J5VwI7kWWmzpwTLVEO3LCLJ2MwrZdLm67uxyAGyLY8WmK4GYsCLN0Qmpi5FhadcltGpKw3jCBr+mJnhCGPGjJJonoQoJ2po4Q4YjpBdXAI1eLTTuIY0Rfa3g3EWf10DuA7b1MWu/AQiNUWXSShFIx/454eANLrnm5VxXISoVrLhnHp24awsJZ9aAchebk0m9szelk9nyU8g7aWpvWXHvl8o9u3z2wY/GCruMPcABwCwsgR7+1M9+6an2m0BUsODWvC8FkgjwEtw6sykr8dL+DT91dwoOPh+B20mJLGoAbwS0nEz5q66x5N2PEuQNTNYl2KLOVE8Oas1RgG/mYkYAyCYjp9VNCd+OuNP1bB1tpQINQEToJIhmRBFjFwCd9ILXGI6mQRcqKmRE0Och1kJZSAr7HkVMK1757HLfdNIR5M+oB36ALT5nm0ifTt17H2fPb8P7Lzl5/3+qndi5bMgtH0qZMUXQT2XlgmXmfk4OvLvQwcZ2SB4OCndCLTBprEnsqa4rhhZeyuPuhIr7+3QJqLKx4eThws9hyO0C0AzHdakTXEhShzYs9kebiMqZTlp5NLXasACYXmoyZIGfGqQTIkdZvgVgd7qQ24iGtgGKEipCgK4SLSRCwMysLiOnkgXgiyDDiSW98oHk4EAdqycjRIwNjox9U2MfCxSIZBgT/Xt8DMo7Ede8eByRw14NF/GRzFlXpxOY1+hF48Mci5R/z57TjgnMWP3D1Jcs+9/Lm3UcK1yOz4ADAs2dgaM83B5187w2eLD+llBOAhi44Se0S4fgYZwz/9GgRV3+yFQ98t5iSiTP5ghII5UCuvZUk1iRaUNopaMpYXKbq3paZTQAe1kRIwTBdejbemweJq1UDq216JE1NHOR8RGWIFY8nglZBCGVJC5k19PGkfGjTmLgMnNbJdXk4lu4MIpbc9RWuu2Qcj/xlP37tihEUWZ2UpPCRkBOlQt7hmNmce+rstyy64Qv3PTl4wbLFJx7gANDcfR0U8mOtc66rZXMlcF5LxJxw7sPJ+hhTDPc9XMStd5dwYMhFnaUpJZOAOwRiHNetCP2Iy64JAlpjYckp/zatdwTqkIZwmBbXCJclltxQBFM4eBqgJ2tpQKYnKfDjblNRoSpLPBEsF75ClPwQxac0cARFXk/Dq0lT4Ggmv1ZZ0pxBISf3BIQEOko+Pvtbw/jVq0ZRZB7J2Lf+vCpmtTbhlg9fWasUMmN/+JvvPRqoHjlF0S1X6gUgn+XeihX1wdV5JWtBpLEu/eBIbNvn4OEf5vHZe0oYGHbCOsXa5a5B3JiWaHAnPZWmhTYSiG0JkPZRQCP5CBv0KYAn60wD08a4I8F4A/078l6y5PBIBQkVlij2hEyEKG6LAh1aaWFRxQQZhgOwSE0B9B48YSCf6TSSPNDPDboiIcHBZLq6whkH437Q70m0Nvn48w8NI+cqrPlBAVv3h3meIrRI0kcx6+Kq9ywbX372wmcFPyo7fGwAF24F0h/8o0zlKuWPb/qYN7Yux4QK9onP+PjRhgz+7Ktl/PDFHKqeIOAmvNsA+eHBHdMSE+jaiKYmEQOJ5xSsDcEOsri0uTjRvZMWf+rYTsO6bcQNMFu8HAZdiTl3nOigPaQqRVcPODuH1skR1eyOUuIkoq0DJTjAQ3IteYBtC+RAUAeRFgdiikExCQGEWx5KqLqP1oKPz/zWEC5dWcVtXy3jmfX5cFY44L7CuWcunPjIL138pUKG/XGl3HTUAD/6qQGAi2Y50f/YbcqZfyfLLKw5woOb8fA/GzL4/a804ztrC6jW3XBvHLqzWQhkO76bTx3ctuVOlH8A7Tett+0ISgM3NwAdHERKigVm2lgKSI9YF1cpYA8XfqErJAKpTjamY6LXsB09IMqJTUuIrEhDaI2iQZKDFg9SRmlmoqxEdEWYdVd0qK104HkOsg5w2fJx3PnbA1jxlvGg9krdx9LT5tR6F82+866vP3NbpVySU//lku2oLXj0u8tqTYm5d2QLfbV9+3befv8DDn/w+2Ws25ol+nZoqY04EkH6QikQjWmJEcuNJKDpQjPNK9kwU0dDl3JsS1HRiozt5dGl2uzFZTws3aSnUg/dZ1toZlKOYCwLlAbtCNLueGZRlGiRqZLUBfTOoKVCDqYCPEUWPVRWwGBOKiBhyTm0FQcACR2njzCxgUkWBrEF6XL1GgP3fKw6s46vfGIA//bEOB750Sw5f27H7fPndX1h7/6+Go6xHc2dNNFe33YvZrTlzvjmD19/8VdueVqM1vIBQhksYDMEMQc85S/4KMbWIkbamZ2CpogOjqh4prm3PJkYup+bkyJ4zsxzpI9Ffcw8x8OFqXEuUFLiMeEW1pxZY8KdJTj9DGEfQ1TTUY8xtjQ0drpLeaRFUaN+Wh7aKpxKHo3yHyn5t3HBJlr+Wh/rIk/2c529FfTR85GDkCm4rsTQqIfvbb7G3zV4+lk5Z3TDjddff8zYPGYLDgCj/lJkmlteVZnum666suXuf//2M1xJL5w+mg9oC21b8gBp2lJSy81TwG1nxgtrUUmrIKV6LWFacE4Cqwyerq04eT07oMp6GvQlqM0UWmSJEW60FJhyql9T621wcqafU0utIweJhWYpC1FQ6x1abAkoBFuCA4g17/A4oOLB+ahEMwCOYBNaHu7XqS17cC039ttRLKi4FVRECyphTdQE8pV3yUveetZNL+w489XZLT87HtA8Ng6uW2/Pcnz/OdR+8b0X3ZMrFT9x2twuwAPi4vMuzN2FhQnuEKjUcuuQ10bpZ4YDx7LKjUJgE5GDICAmLCUREkvGx/ybGf0N2yQn07TwhuMsmVB7kJPu+ng2RBGHoHSFJiqT5GYb9Dq9LTE+TpgwQmqjxGVa4JNIhSk83PedsO6KhOJzUK2VPlHuuOyelb39tdMWv/V4QPP4ABwA3nVhDzZu3+v/xc1XbPvw+1cNd3aUAB8xuMkuC9R6MwS3EYdZtARkQUmASbXvVN5tTIB0aRAN+mLebXFtMt4GNZ0UhkRjnz9cS/jjySPQwPqa+nhyDDOAn7DcUWFLMzczrh6VloGvF6JoCHJFIxCjWPI4DMCXOm7Fge8riEwLCu1XDBc6f2WbX33dz5aWHS9YHj+AA0BLKY/+g/1rrn/fBTd/7IbL+2d1tgexxjwqvUNRFICbxZGBbgNw2zEn1Ftp0A7yRz2YjdQSY0sS8jrGAhPkpLVoNC0+S4I+5VmjFmGaEZCigZW3PZnQDh5GgE0tOYvmjeHFBEsAH7a1pupKtHsyAXsqyGkCc5w0oYja4vsOajUGH51wm6/vd0vvuFngwBomjl4STGvHhYPr1t1RAQDsOTB0/4evfYfjCOdzf/fvP+zYvn8Yvg0OFoIb2vVOkhZ4Ms1M2GDmcZxJalgsVyaoYVrdaH9z/XlAwE2OIyArco5+FRu/rMFxo0ZeVwHRfjT0nArDRyNOHfJtFnJrZoyDqb4QFYURrVyflwgmgtbAJYg2DgUOHYsScG4pWcCzA6YePBKdXH8mzmVoaIKxQfZnYJSkYvA9DiVmoFC54oDTfNnv+7J2v5PpOZ5wBHCcLbhuXR1leF793g/+4opbf25V74ECVByBEwLRZbQwZhLchvXWQVQIVQVuLSYJ0KjXEuRcKg9PXVQyC+gsnc5ExyahN953Cr+VoXc3oCZ2H5S1YIRp6SO3v534AJN6GPxcvwbl5tQDqq054tfTW4hLkNxOUIttbqGi1w1BIrqCWzzvQKHt0lul793rZFpOBBRPDMABoL21jLu/9r17WivFW3rnV/qd2higpEFLAu59GHDbScMINGljkWksKFVDWoJoTPCETg57UWlYcYTXNLDc9ljYx4drimA7cvIwpLITsnDUb2Ty7VinjidATEuSXFzzcbNClhErnhKEFedyxtk+SjLQaraUlmjaw5hCxh1HqTKj33FLtwzteeQeN9t8omCYKFZxXNsT3/w3LDj3nS+1NOdfdx1x6b4DI1nXFcgxO65kEnAjBrKWBBvvp9PgHLfHsoTyEo+J9W6mx7KY0mhd2z4O1CCWco19PUu/o6Dxc8CaqCxlUlpj4th2ltIH0Bh3/TyaMmQuM/IGRh+S81k7mixbACCYRMFvU0WuacFwrmn2zYXsyNeKXTdPUUs6unZcOXjqG2RystzsPsCdvJfJFe976ZWduZwbzCsFGKCeDNx2nElyX53GVIT+Y6LdGax/jj4ylZLkHukwjpnxGiz5gvFYu1neTJXsivrpJ9WbNkVkm4AKoYeT6t4awAkurkhWUHgueD8iHTJNfYJPFu0mSLRxXRhThjSUcbJg1d8htPa+L+E0nzEBp/OD4MWHavXaMbnhp9JOqAUHgOd/sBrnv/M61d7duansYmNLXly1/8AhR4W7Rmgw071zBAF37Hm0MuNhWm82VetNrW/CgjPjujSrHXsx4/P6jsAYs66bugW380LTQwoaWHJKuQxKlrJxrb3GIGEG9uRPCzkwj0HGJz8DoMMHGGp1BiffM+Hm53wg29T9jZHRul+e9ZETDb8TD3AAePaJB/HOi69Q71511qbxkaHNjIsrtu8ZdBVYkF8Z/lG1hDMK0GRmTqIERIPH6LwFYNboHC3MaYxn0WOiT08angQ2540BrkGUcEDR90eD8yGa9CLKWDswJEGsAQ8yIQzw0zLR5nkCZ5gQJ28Sv3p8LVfg3Afgw831jIncvF9r6Tr/oYG+XbJz4Y0nA3onB+AA8OTjD2LRGavwmW/8dOPF583e7ku8u+/QSE5AISMQWnAa442wUq0lAYJYO8u6pwKf0+dM1wsyIgqpZY+vJ895fC23gE65LQUxteqTWXANnclUHnMMscAsBdgUvDZFI3g07wJJK25be/IK5jHJyYVixiTkzEfG9VEszx7MleZ8qLPr0Qf27+7ArJ4bThbsjmitf1zar//RfZjR0Yxa3fvVsZGJLzz3401t/QcPIety04mjN5GFCW771p2gLmmPNKDKPs9ta2xbbNu6U4Ayk9roYCsNGmM8S51IJiVKO1Yp30WRMYp8B2Xe8SJ/goqui/sVeR1ljSFbRkZBVYjUK7p1O4veV0avD6bAWR35QjNa2pcezORyH+fc+efqxCFU5n7ipOLtpANct737DyGTcW94YM2P7viXr3+v42D/EIQQ0Q8mGoAasMABFVtlC7ipFtlWTwhQk3Qk5uLJcbZicnwAnvyMygS8vrNFgFfGWJ2jGkfy0UlCIgyja5U1MWLQJ4Eeg5rudB1PomCclBJuthmdcy89UJl58R8o5f1jJts6LTg7YTr44drMGS1wBPvHD/zCqls/eP27DnS0llCte1BK7x1v5lraFCTmjubtNnFbB7memTM6jQbEJ9MpRGIcaVMNnpq0kRen2jgt3abdWFoBaRyzEtcmVOGLGwnNkdrBkscJRxGzNPU4qMoP99EJMofqEG4zWrsvP9Ay85JbAWfawA2cBJlwslYuFTE8PHrPVZct9xRzvvjPDz3Z0negD5wpOFwHjZoc0rTmKglmmICmXDLmmRZYLe7LGX1PzTUBm4Kakyq5deCR3B5jqc98O+0cMfoUOQ7xLVVwt1Ch10jp70Dd9uF315IhPaZSYvAbhWOgY1biHyB4D258UAEfQjAUSp2ozHzPoXL7yk9Kpe7LZIvTBzBMM8ABoFQqYnyifv/ll5zf/8prexcJOf/O735/retwDs6DPVm0FWEU6TBVBWPRBRPwsM6bL8OM+I80GUzPmnjSMBvr4ecwF5JThTgFrgYtSxsTATsEpO5jFvDDiaKTkplSJGczOKnjxPUx0zp5aBCUrrHCEP4+4VitoyO4PtilTUJwoKP7rfV8jt3SMnP5NiFy32Q8O6XvfyLbtAMcAPI5Vz7zky1rPvIbl2de3rBprNLE73p67To2ODLBpWRxziEoQPUNFcajcWzRmYYqBUu5hgCZYtW4UyQks0YtfZQiZxtkrAWPKoBUBGTi8AlAHltbsDgBglFnjmHFNd2I74DR+9IJAxiBXCB3ExYGXtVqDIqVZEf3MlVsPu23O7oW/9PI0N5auW3pSURQ4zZtHNxuy8/pwYF9u2uL5nbef2bv/KXnn7PkT+fMmonRCQ+ejMFMwW03ysVjYLNU/kwBauvOAJDg69G1LNGZRk/sz2W3yEGI9JM2n6dJCTShQT/avNoMsmKIigA1CL6Ksu4TnzZ+HnFzBnAu4YgqmsqdaG7r/dNiZeFSN999f9+Bg28YcANvIIADwHlnL0Vvz4LxPXv2b/n4Nb13dC9YdHvv0iU+Fy58KcGgYikKSZewjT19MBXrbU+O6NpGz1NQG68NptBU4iPHgLXGJECJOBjLjOM2F56J4p2wJ4Gd1WN+eK1o6Y8SB1n5yLgCnd0L/dlzu29/vf+yO0YGD2xp7Zg3PqO796RgZartpDl6jqStefg/IBZcpT7zyet+8K3VX8sKjgv7+wcc36tBqWDbZalYigVOym462Tepkae75akXM5YKTe3blgcTHk19jjiAYF1vKD8wJ0dC3bHWD6nqjr2+0MeJdQP5bPo8rO8DGPo5YwG4PQ9QcJArVDBjztuq3Yuu+Xxr10V/8rd3nqMWLH3/dMMmtR3JQv+kt77+oaBuHWOffXnjayvu+9c1fGRsYsVPX+93FHPgCBZk/vCg1KEggLUz4ak6YurSJojTAE7d7rFMSWNaTFd98DyEE0vRymGB1p6APNkXOXUYiDPKjr9JOn1iLRyId7pQpoaut4UkW0QKEWwkJkRQb7JaU1C80xNu7umet1wpK20Ln1bArYIxnMhw12Ntb2iA03bvvzyMXNYp9fWPfPWZF3dcu3HrPl6vjqGY43B14azwT5DSDjwVKLYb3gY0fU76OUuZAKzh89jimgAHrFh21gjQdp9K+U7KmhB0EqR4NKPPQZ0/IaijnasVHKHgOj5cUUW+kAF350iWXfIfTJR/E6o+fPrZPzfdkJhSO2UADgAvbtyOcjHXvv7V3R995PEXzhwZPHT1K5u2oiknkHG5WV+Es8hZBMt62xGFjMMoH5H0Ttq0JiVGPNFHHoGpATz6fIe34LFnUxnXmKEL6RbdHBeWn7YALpgH16mivXMBSuWm1U1tK9a7+Xl/Lf2xvlLlyKu8Tlc7pQCu28YtO1EpN8179iebvrTu5S1XP//CegwMDMF1BVxHRAVzBLF2mm8mIgp5SDesKMLEcUgt9HEi4IoFAVYxF06z5CbA9cQDkmBOgDsFwDHYTapCuTO3qIq9NxG13kIEG20DPnL5Erpmn462ztNWN7ef/rtebWRHoTR/uv/1R9xOSYADwJ69fXAz7uINr7y2bGRk9KMvvLjpoufXbcbg4BDyOQeuYEEJcvINNV2wqUmCe3MNPGaBLGnBuV7AWZbfCFG1uH+a1W4E7CRVMXk4BW3qJODKAjqg/ZUMwes4XMEREpzXUCiU0NLRi/bOJU9mcvm/bmlf+JL0va25Qvt0/8uPqr0hHD1H07pmtgPAVqXUVgDra/V61zln9f79upc2LX7u+ZcEpBfycA6lgr3Rbbc/YIOLmW760MqaVENb6ZTtTqJ2bHZDWRKi4QRiOqOehqEEZ2OZMXYM0aye4EERyQ/B1oBcwXEczJp3lt/RtWSrV69/aPbClXsAbKGpbKdiO7U/PWl79h2E7/vzXt22c1Yu4zz42ONPlvfs3V0cHh5B3QM8PxgnBCA4ixaiOhIxqXBYmT+cWda+EQ83Y6LpXvYJC454cgGNLbhBSag11nchmNSDhswyFua7ap4tgpnu+QzjVSCbK6Kra+Zo75mrhpiqX1Npn7OLMbEjX2ib7n/pcWlvGoADgJISYIwPDg43v7pt+1sB+Q8bN27xfrxuc+vOn/WVpJShOgC4Do9kPyDJvSk9oUU0G1ERW/sOXtNKTkA6wOP3D44bUpTUGHCTltBrEPYFZad9uK5CLqMgBAdzOobLbT39M2ctdlyH39g9a/7aTLZpEIA81a02bW8oT+axNsY5GGNybHz00Ly53Y9Vmss9q7/xn4s+/MFf+vSqty3f0NnZua5SKU+UmopRwH/sF0wvgZwI7AIBZxSlSB5Z8vpGcDFqosD0ZBpex6gOib6ARePia5lBbZRSkD5QrytU6wqOW0A+X55oae1Yt2jJeRtWXHTtp7/16H8tyhdKPeWWrseGhkcPMcbeVOCOf6k3cdv86k/hug57+NGnUC5mREuleFetNtGzc+eOVXv37hcjI2Oo1nzU63VkMwKOzhgIW+Qw4qRUMifUI4WaAEl6ghQLHo+L/xuUthiWHAElETxePAqOxGsBPgTz4boufCnARB5tbTP82bPnPFUoZLd49ZGbsu6E3z3v7ZDSU5W2edP9Lzqh7U0PcLsdGhhANptp6evr/8x3Hn8i8+rWHT4XmXMZw3kDhw5iYnwsBK6AQsjXBQ8fA+6eBDeQHnDFUqhIY4BHykYKPQFijV8IhJ5GFS0aq7VgA9VSUxEd7a1wBJ4fGqm9UGmbKy5YfnGtubn1D+v16qGmUmW6/wUntf2fA7jdHn3sB2AMF9Xr9Uur46PXVGsTS8ZGx7Hu5c3wPQ+1WhWARMZhyGZduK6IAA5FOXoMZklqiZh8O/65bfDS8mvxQhEpdwUJDh8ZVyKXFchms3BdB60di+Fk8mgq5jY3lwoPZjLud5RST/a+5aLp/omntf2fB7hu/f2HAOAy3/cW7e/rl/fe93U5c0bbgo6Otj/YtetnKORc9Pf3YXh4EIyF+58yEejIgsNx9K5kDL5EsBkTAvBrz2oc/ajAWNAvwlWQLwHPV5Ay0Lkdh8EVQcx2reZFpR3bWiuYOXMGHOGhq6sbo8P9d4yP9W8/f+Uv8GKxhTuO2AbgsXJzy3T/pG+I9v8Ab9D27N2PbDZb2bVrz0XrN2xALuPUS6XixxjUe5RSqNU9PPvcTzA6OoJ8TiCX5XAEw/hEDUPDVVRrPhgDsq5Axg04vJQKdV+FlaEYsi5DNhO8X60O+NIB4w4EB3JZjlxGoampCYt6lgEQYIzBcfjjvjfxRYf77oLFvWhtm/lkvV4baG4+NR0xJ7qdso6eE926Zs4AgAEAjwDAvn17AWCTkrJTKSWrtTrWb9iCiYlxuK6LTIYDslZftuzc2w4NDF85Mlqtc86QywrkMkGcjC8VqjUF31cIzjHkswCUgq8yrpst/tfatT++zS3kXMcVcDMSpVIRPUtOB+cuGGPcEWIfgO0zOjun+yc6Jdr/W/Dj2NauXQvG0Ll3777moZEJxTlDPhNYd8YD2jJRlfD9gGPnsjwEuIRkWdbaNnMQSu077/wLp/urvGna/wIG2FyLbe1qbAAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzoxNzoyOCswMDowMPEETxQAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6MTc6MjgrMDA6MDCAWfeoAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 53866000
{'hecke_orbit_code': 1992881603140, 'n': 1, 'trace_an': 12}
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id: 53866001
{'hecke_orbit_code': 1992881603140, 'n': 2, 'trace_an': -2}
-
id: 53866002
{'hecke_orbit_code': 1992881603140, 'n': 3, 'trace_an': 0}
-
id: 53866003
{'hecke_orbit_code': 1992881603140, 'n': 4, 'trace_an': -2}
-
id: 53866004
{'hecke_orbit_code': 1992881603140, 'n': 5, 'trace_an': 0}
-
id: 53866005
{'hecke_orbit_code': 1992881603140, 'n': 6, 'trace_an': 0}
-
id: 53866006
{'hecke_orbit_code': 1992881603140, 'n': 7, 'trace_an': 0}
-
id: 53866007
{'hecke_orbit_code': 1992881603140, 'n': 8, 'trace_an': -2}
-
id: 53866008
{'hecke_orbit_code': 1992881603140, 'n': 9, 'trace_an': 2}
-
id: 53866009
{'hecke_orbit_code': 1992881603140, 'n': 10, 'trace_an': 0}
-
id: 53866010
{'hecke_orbit_code': 1992881603140, 'n': 11, 'trace_an': 0}
-
id: 53866011
{'hecke_orbit_code': 1992881603140, 'n': 12, 'trace_an': 0}
-
id: 53866012
{'hecke_orbit_code': 1992881603140, 'n': 13, 'trace_an': 2}
-
id: 53866013
{'hecke_orbit_code': 1992881603140, 'n': 14, 'trace_an': 0}
-
id: 53866014
{'hecke_orbit_code': 1992881603140, 'n': 15, 'trace_an': 0}
-
id: 53866015
{'hecke_orbit_code': 1992881603140, 'n': 16, 'trace_an': -2}
-
id: 53866016
{'hecke_orbit_code': 1992881603140, 'n': 17, 'trace_an': 0}
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id: 53866017
{'hecke_orbit_code': 1992881603140, 'n': 18, 'trace_an': 2}
-
id: 53866018
{'hecke_orbit_code': 1992881603140, 'n': 19, 'trace_an': 0}
-
id: 53866019
{'hecke_orbit_code': 1992881603140, 'n': 20, 'trace_an': 0}
-
id: 53866020
{'hecke_orbit_code': 1992881603140, 'n': 21, 'trace_an': 0}
-
id: 53866021
{'hecke_orbit_code': 1992881603140, 'n': 22, 'trace_an': 0}
-
id: 53866022
{'hecke_orbit_code': 1992881603140, 'n': 23, 'trace_an': 0}
-
id: 53866023
{'hecke_orbit_code': 1992881603140, 'n': 24, 'trace_an': 0}
-
id: 53866024
{'hecke_orbit_code': 1992881603140, 'n': 25, 'trace_an': 2}
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id: 53866025
{'hecke_orbit_code': 1992881603140, 'n': 26, 'trace_an': -12}
-
id: 53866026
{'hecke_orbit_code': 1992881603140, 'n': 27, 'trace_an': 0}
-
id: 53866027
{'hecke_orbit_code': 1992881603140, 'n': 28, 'trace_an': 0}
-
id: 53866028
{'hecke_orbit_code': 1992881603140, 'n': 29, 'trace_an': 0}
-
id: 53866029
{'hecke_orbit_code': 1992881603140, 'n': 30, 'trace_an': 0}
-
id: 53866030
{'hecke_orbit_code': 1992881603140, 'n': 31, 'trace_an': 0}
-
id: 53866031
{'hecke_orbit_code': 1992881603140, 'n': 32, 'trace_an': -2}
-
id: 53866032
{'hecke_orbit_code': 1992881603140, 'n': 33, 'trace_an': 0}
-
id: 53866033
{'hecke_orbit_code': 1992881603140, 'n': 34, 'trace_an': 0}
-
id: 53866034
{'hecke_orbit_code': 1992881603140, 'n': 35, 'trace_an': 0}
-
id: 53866035
{'hecke_orbit_code': 1992881603140, 'n': 36, 'trace_an': 2}
-
id: 53866036
{'hecke_orbit_code': 1992881603140, 'n': 37, 'trace_an': 0}
-
id: 53866037
{'hecke_orbit_code': 1992881603140, 'n': 38, 'trace_an': 0}
-
id: 53866038
{'hecke_orbit_code': 1992881603140, 'n': 39, 'trace_an': 0}
-
id: 53866039
{'hecke_orbit_code': 1992881603140, 'n': 40, 'trace_an': 0}
-
id: 53866040
{'hecke_orbit_code': 1992881603140, 'n': 41, 'trace_an': -2}
-
id: 53866041
{'hecke_orbit_code': 1992881603140, 'n': 42, 'trace_an': 0}
-
id: 53866042
{'hecke_orbit_code': 1992881603140, 'n': 43, 'trace_an': 0}
-
id: 53866043
{'hecke_orbit_code': 1992881603140, 'n': 44, 'trace_an': 0}
-
id: 53866044
{'hecke_orbit_code': 1992881603140, 'n': 45, 'trace_an': 0}
-
id: 53866045
{'hecke_orbit_code': 1992881603140, 'n': 46, 'trace_an': 0}
-
id: 53866046
{'hecke_orbit_code': 1992881603140, 'n': 47, 'trace_an': 0}
-
id: 53866047
{'hecke_orbit_code': 1992881603140, 'n': 48, 'trace_an': 0}
-
id: 53866048
{'hecke_orbit_code': 1992881603140, 'n': 49, 'trace_an': 0}
-
id: 53866049
{'hecke_orbit_code': 1992881603140, 'n': 50, 'trace_an': 2}
-
id: 53866050
{'hecke_orbit_code': 1992881603140, 'n': 51, 'trace_an': 0}
-
id: 53866051
{'hecke_orbit_code': 1992881603140, 'n': 52, 'trace_an': 2}
-
id: 53866052
{'hecke_orbit_code': 1992881603140, 'n': 53, 'trace_an': 2}
-
id: 53866053
{'hecke_orbit_code': 1992881603140, 'n': 54, 'trace_an': 0}
-
id: 53866054
{'hecke_orbit_code': 1992881603140, 'n': 55, 'trace_an': 0}
-
id: 53866055
{'hecke_orbit_code': 1992881603140, 'n': 56, 'trace_an': 0}
-
id: 53866056
{'hecke_orbit_code': 1992881603140, 'n': 57, 'trace_an': 0}
-
id: 53866057
{'hecke_orbit_code': 1992881603140, 'n': 58, 'trace_an': 0}
-
id: 53866058
{'hecke_orbit_code': 1992881603140, 'n': 59, 'trace_an': 0}
-
id: 53866059
{'hecke_orbit_code': 1992881603140, 'n': 60, 'trace_an': 0}
-
id: 53866060
{'hecke_orbit_code': 1992881603140, 'n': 61, 'trace_an': 2}
-
id: 53866061
{'hecke_orbit_code': 1992881603140, 'n': 62, 'trace_an': 0}
-
id: 53866062
{'hecke_orbit_code': 1992881603140, 'n': 63, 'trace_an': 0}
-
id: 53866063
{'hecke_orbit_code': 1992881603140, 'n': 64, 'trace_an': -2}
-
id: 53866064
{'hecke_orbit_code': 1992881603140, 'n': 65, 'trace_an': -2}
-
id: 53866065
{'hecke_orbit_code': 1992881603140, 'n': 66, 'trace_an': 0}
-
id: 53866066
{'hecke_orbit_code': 1992881603140, 'n': 67, 'trace_an': 0}
-
id: 53866067
{'hecke_orbit_code': 1992881603140, 'n': 68, 'trace_an': 0}
-
id: 53866068
{'hecke_orbit_code': 1992881603140, 'n': 69, 'trace_an': 0}
-
id: 53866069
{'hecke_orbit_code': 1992881603140, 'n': 70, 'trace_an': 0}
-
id: 53866070
{'hecke_orbit_code': 1992881603140, 'n': 71, 'trace_an': 0}
-
id: 53866071
{'hecke_orbit_code': 1992881603140, 'n': 72, 'trace_an': 2}
-
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