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{'Nk2': 12768, 'analytic_conductor': 25.4882483251927, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [7, -1], [19, -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': [3192, 1, [799, 1597, 2129, 913, 1009], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [0, 1]], [11, [-2, 1]], [17, [0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797780600, 'hecke_ring_generator_nbound': 1, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3192.2.a.g', 'level': 3192, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'minimal_twist': '3192.2.a.g', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{7}+q^{9}+2q^{11}-4q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/3192/g'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3192.2.a', 'trace_display': [0, -1, 0, 1], 'trace_hash': 1822509694594648701, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.973', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.918', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [0], [0], [1], [0], [1], [0], [2], [0], [-4], [0], [0], [0], [0], [0], [1], [0], [-1], [0], [-6], [0], [-5], [0], [-1], [0], [2], [0], [4], [0], [-2], [0], [0], [0], [2], [0], [4], [0], [2], [0], [-8], [0], [0], [0], [-8], [0], [1], [0], [0], [0], [-6], [0], [0], [0], [-1], [0], [-4], [0], [14], [0], [1], [0], [0], [0], [-2], [0], [6], [0], [0], [0], [-6], [0], [5], [0], [2], [0], [-10], [0], [1], [0], [0], [0], [0], [0], [-2], [0], [18], [0], [-4], [0], [-4], [0], [0], [0], [-16], [0], [2], [0]], 'ap': [[0], [-1], [0], [1], [2], [-4], [0], [1], [-6], [2], [4], [2], [2], [-8], [-8], [-6], [-4], [14], [-2], [0], [-6], [-10], [0], [18], [-16], [16], [-4], [0], [2], [2], [-6], [-20], [-18], [-12], [-18], [-18], [18], [-24], [24], [-18], [0], [16], [18], [-14], [22], [-24], [6], [-24], [4], [-18], [6], [-14], [-20], [12], [6], [-18], [-10], [0], [-10], [-30], [4], [22], [8], [-4], [18], [-2], [10], [22], [-18], [-6], [8], [22], [-32], [22], [34], [24], [-6], [-14], [14], [-8], [-12], [30], [0], [-8], [-28], [-14], [34], [6], [0], [24], [24], [-28], [-14], [22], [-32], [12], [38], [-22], [0], [-14], [-2], [14], [-4], [-10], [-28], [26], [16], [-28], [40], [16], [32], [-34], [14], [12], [12], [18], [4], [-4], [-30], [-16], [8], [-2], [42], [28], [28], [-6], [26], [12], [-8], [50], [-4], [12], [-22], [-2], [28], [-30], [46], [-32], [22], [-30], [-8], [-42], [-16], [8], [4], [16], [54], [-54], [-36], [4], [18], [-16], [-24], [32], [10], [8], [32], [56], [-26], [30], [-2], [-38], [20], [20], [-18], [40], [-18], [-6], [34], [0], [-28], [-8], [-50], [50], [-16], [-36], [28], [10], [16], [54], [-60], [-28], [50], [6], [-34], [24], [-18], [-20], [-66], [-8], [-20], [6], [-66], [-6], [38], [-54], [10], [-42], [16], [36], [-46], [0], [-32], [20], [32], [16], [56], [52], [-14], [0], [46], [-32], [-8], [12], [-24], [-4], [32], [58], [24], [-22], [26], [-40], [-42], [8], [-36], [-26], [-42], [-12], [12], [14], [-14], [-8], [50], [-34], [-28], [-24], [-38], [6], [50], [56], [44], [-20], [-8], [22], [-42], [20], [48], [-52], [-6], [54], [18], [-52], [-54], [28], [12], [-54], [10], [68], [-6], [-2], [26], [12], [74], [-36], [-52], [-44], [-62], [-20], [30], [-6], [-56], [58], [10], [4], [32], [40], [-6], [-26], [66], [-32], [-48], [48], [-20], [-28], [-36], [-42], [14], [18], [-24], [70], [-50], [-56], [-46], [-4], [-10], [12], [-60], [-32], [-12], [-28], [38], [18], [-36], [60], [72], [62], [-36], [-20], [50], [-62], [-72], [90], [-62], [30], [-30], [-32], [72], [-80], [-26], [-18], [-28], [-74], [66], [-58], [34], [-60], [18], [56], [-80], [-78], [82], [-74], [-24], [-52], [40], [48], [26], [34], [46], [40], [6], [-66], [42], [90], [6], [-80], [-86], [-74], [-8], [32], [-68], [-38], [-18], [-64], [70], [-38], [0], [4], [18], [56], [58], [20], [56], [-4], [84], [94], [-20], [82], [50], [10], [36], [-2], [70], [72], [-22], [-44], [90], [-38], [76], [28], [18], [-78], [28], [42], [-12], [32], [-28], [38], [80], [0], [22], [26], [14], [-100], [-60], [6], [60], [86], [2], [50], [-4], [26], [-82], [6], [38], [-80], [-82], [-34], [56], [-80], [48], [34], [40], [80], [22], [36], [68], [8], [48], [48], [86], [8], [-42], [-12], [-40], [54], [72], [30], [-76], [-80]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 27021597797780600, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3192.2.a.g', 'level': 3192, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [19, -1]], 3, 2], [[[2, 1], [3, 1], [7, -1], [19, -1]], 2, 2], [[[2, 1], [3, -1], [7, -1], [19, 1]], 2, 2], [[[2, 1], [3, 1], [7, -1], [19, 1]], 4, 1], [[[2, -1], [3, 1], [7, -1], [19, 1]], 3, 2], [[[2, 1], [3, -1], [7, 1], [19, 1]], 3, 2], [[[2, -1], [3, 1], [7, -1], [19, -1]], 5, 1], [[[2, 1], [3, 1], [7, 1], [19, 1]], 4, 1], [[[2, 1], [3, -1], [7, -1], [19, -1]], 5, 1], [[[2, -1], [3, -1], [7, 1], [19, -1]], 4, 1], [[[2, 1], [3, -1], [7, 1], [19, -1]], 3, 2], [[[2, -1], [3, -1], [7, 1], [19, 1]], 4, 2], [[[2, -1], [3, 1], [7, 1], [19, -1]], 3, 3], [[[2, 1], [3, 1], [7, 1], [19, -1]], 3, 3], [[[2, -1], [3, 1], [7, 1], [19, 1]], 4, 2], [[[2, -1], [3, -1], [7, -1], [19, 1]], 4, 1]], 'ALdims': [4, 3, 4, 2, 3, 3, 2, 5, 4, 3, 3, 5, 4, 4, 4, 3], 'Nk2': 12768, 'analytic_conductor': 25.4882483251927, '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': [3192, 1, [799, 1597, 2129, 913, 1009], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 625, 'dim': 56, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 33557624, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5], 'label': '3192.2.a', 'level': 3192, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'mf_dim': 656, 'mf_new_dim': 56, 'num_forms': 28, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 56, 'sturm_bound': 1280, 'trace_bound': 11, 'trace_display': [0, 0, -8, 0], 'traces': [56, 0, 0, 0, -8, 0, 0, 0, 56, 0, 0, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 8, 0, 16, 0, 0, 0, 0, 0, -8, 0, 16, 0, 8, 0, -16, 0, -8, 0, -48, 0, 56, 0, 8, 0, -8, 0, 16, 0, 4, 0, -32, 0, 16, 0, 0, 0, -16, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 56, 0, 16, 0, 0, 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mf_twists_nf • Show schema
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id: 1062194
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '3192.2.a.g', 'source_level': 3192, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '3192.2.a.g', 'target_level': 3192, 'twist_class_label': '3192.2.a.g', 'twist_class_level': 3192, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1062195
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '3192.2.a.g', 'source_level': 3192, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '6384.2.a.w', 'target_level': 6384, 'twist_class_label': '3192.2.a.g', 'twist_class_level': 3192, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1062196
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '3192.2.a.g', 'source_level': 3192, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '9576.2.a.l', 'target_level': 9576, 'twist_class_label': '3192.2.a.g', 'twist_class_level': 3192, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3052575
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 2}
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id: 3052576
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 3}
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id: 3052577
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 5}
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id: 3052578
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 7}
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id: 3052579
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 11}
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id: 3052580
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 13}
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id: 3052581
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 17}
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id: 3052582
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 19}
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id: 3052583
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 23}
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id: 3052584
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 29}
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id: 3052585
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 31}
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id: 3052586
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 37}
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id: 3052587
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 41}
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id: 3052588
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 43}
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id: 3052589
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 47}
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id: 3052590
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 53}
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id: 3052591
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 59}
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id: 3052592
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 61}
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id: 3052593
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 67}
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id: 3052594
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 71}
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id: 3052595
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 73}
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id: 3052596
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 79}
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id: 3052597
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 83}
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id: 3052598
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 89}
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id: 3052599
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 27021597797780600, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '3192.2.a.g', 'level': 3192, 'portrait': 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WpmJxKWuj7doWAUuywPBBsmNIsdzamLiprrsWEatsyFrJ8ZsW4mYMNMwJb1hm0bFFdvdamrJsdPtXnkBY+nDsU8dzIiUT2+9rUd7ny1oa5mOHRykuPnHM5eSriQgvvIguHma+b50W9ZZuvsBOcuTXJpucZix2W5K+n0EjqDhN4QDhxbYO/J7tUvHDj9upNnL+44dW7+s7e96d3hg/f86csNib/U7e80gy8td+iNBJ5jPnDfEwdf/WM//zvy/W889+p/997TzvzyJhaWp1hYbrDY8VjsOCx2YKmTsNSJWFxJuLACRxcFc7Mr/JdvW+SW3Q1OX5zm3KUm5xYcLi4aLizEnJlPuNSLmZwe8Zrr+rzqKvBkHV/5XFyqcX7B4cKSYBBAHGtqnqZZS5iaiNHAyQsx3T5sX+/SrAcYI0B49IeabRsCFlccMFaKrPQhiMFgWOqEbF7n0hsqhDIIHdCuuWzbOGJlIDh5ziHRDjNtSasm8F2IY8EgkFxYkpxfNFxcjvH9Ebgxt+3p8+prBHPtOovLbU5f9Dm3ABcXYi4uxZxdgqOLhlfuWeAnvm2ZDZNtTl2Y5sJinfllj4WOZGklYbkbsdxNWOoZLnUFJzrQW1zkF38gjP/Ju8RDauL7tfCvf0iJ5Eci7ePX2i83VF709neWwX/vD/+UV91yIz/8g//up37nY1/6f37xd790+aHT3R1Hzw7l7deMuGyjIY4djJHpIcBIQAICIQyOMHgSzi3WeeyI5LpdS1y1dUSjBq4j8VyF5zk065KGKxn0XQ6eqPH5pzxOXgroxhEHTwesn1nina9Z5rrLe7zyqg4nFmIWBoKGP+LYOUOn2+TayyQro4T9JxSthsPek3DFJsMoTBglHo4TMdWCA6d9lJPgyhjHhWEgueWqAcOB5LrLE7rDhJPnWuzcoGg2QlYCw7rJAcv9Ln/0JXjmeMJzx0ds37TI9Vd2mZoOecdtPf7R6w27NrRIokmOn53g6BmX0xc0Zy5FnLmUcPSS4NRKxCt2z/Nfvq3H+slJTl+Y5uJig/kVj8WOZLmT0OlFrPQTVvqG5T5cGCg6vZBX7VniX9w5L5uu2bFw8dTOwUDfquqX1xvNqS888sBdfPBDf/ByQ2bN299JBr/rrk9y6w3b1d1f3P9jR46f/4+PPnNCnZoPWQwc5ocJ1++4yM9/7zw37mpwYWmKxZUmS50aSx2Xpa7Dcg+WOwnL3ZilXsxCB04vC5z6iNuvWeIbXh+yc12TlX6bS0t15pc8FjqCpY6VCMs9TXeo6QaGwShmph2xbb0GBL5rOHPJRUif7esUOzcZNq0bcHE54NnDLW66wtCoL/PCkWlazZAwdJmZ0gxHcPW2Eb//pUmu3BoTBIbZCUmUDGnVfPaeGFF3m9ywO+a5YyEXFz02z/js3AjbNoQoFXFmATzXIIRh+/qYqZakN/TpD1y6A5elrmJpBRY7mqVOwkIn4UIHFkcJ2zb3+YY7Frj9Koea2+b8QpuF5RoLKw5LXcFyR7PSi1juJaz0DIt9uNBXXFiJufXKC/zsP1vgyi11lrttVro1lvtTaGd3ovwNP3VpdNlPTLrnkre/410vN3RW3f5OAfzQoUPUarX62TNnth04uP99J0+e/8kXDp6kOxSs9GFlKLk0lJzvRbzysov89+9d4vrL6lxanmRxpclyt8ZS12W567DchU5Ps9KLWe7FLHUNFzuCc30Dos+dr+3wjls0l22sEYYNljs1VvoenZ5iuS/oDQSjwBDGhiQBJQ2+C3XfMNk2rJuOcNwRR8+HPH/ER8dN3nZriOOu8OT+CXZshE8/FvPaa30udYbUHEWcRExPQRy5OG7M4mKD19zY5dMPt9i5EZ44HODS4K23aGIx5PmjCcfP1HCkx/oph6mmoO4LPE+gBMQawsgwCqE3MKz0Nb2BZmWgWewbhknC9i0D3vGqDne+OgTdYnFlgktLdRYzMujASi+h049Z6VnmXurD+Z5ivpvwyt0X+dnvvcSe7XUWViZY6TXo9mosdT3mlwXS20Kjvf4/XX75lX+8afOWU0EwGl5xxe6XG0r57e8MwA8fPsz0zKx34vjR7zh29MivPPvsc2Kl05e9YUJ3oO0xFCwPBfMpyG+5/BI/812L3Hh5jYWVDOQ+Kz2P5Z7DSk/Q6Rk6/YSVXkynr1nuGy71BOc7mqnJAV/zyh63XRWzfb2iXXfp9mr4rgQUYSzRWqANDEaA0Ey1Rhw+a9Am5J4nmgSDOpdv9rj9ugGRXuH+pya54QqXwxf6dJbbvOq6AV940mf9tGH/ScO/eHeX/Sd81k9LPv+U4varFUuDLsdOT3PD7pD7nx8SBw1u2+Oxa+uIYdznc08qSARHzzi0Gw6OgMHQBtWJNkQxIDWOp+n0Dc1WxNaNAa++esDX3BQz06xxcWmCxZU6y1373Sx3BZ0+dHoxnX5Mp5/QGRiWBpILPcFCL+bWK+f5qe+a5/qdNeYzcPd9un2PTt9hpa9Y7oIRNX3V1deZyy+/4vuu3H3FRy5duhTuvOzylxtSwN8RgIdRLINg+M4H7/vM5b1B9LNPPfWEq7UgjGE4SugPY/pDTW9k6A4F3aHg0lByrhNz29WX+MB3zXPTLo+V7gTzyy06/RorPY+VvkOnp+gMoNc3dAcx3X5Cf6jpDAzzfcF8H6Ik4PorhmyYTugPDG9/VcCODZo4kTjSEEZw37M1Tl2qsXEq5oWjNdANrtqiuPFKjV8b8OThAfMLTa7Z0aQ9uczDz7ncfEWNxcEKy8ttNmwwPLZf8c1v7PP4foct61wW+h2Wl6a58eoBD7+QMF2f5JrL+1zqdHhs3yR1p8krrzTs3jYC2efZ44J10xEX5yPuf9ZlFCmkhEQbdmwM+ZpXhfT6ik1TmhuvgDBssNRpsNTxWem7dAeKTl/S7UN3kNDtJ/QGlkBWBoaloeRsV9AZBty+e56f+M5lXnmFvTg6vTrdgU8vlUPdgaI3kAxGMBglhJHm5ltujoxRP/h17/wHRxqN+l84jqtfbmy97JnMMBigo8G3nTr61M9fOn94+vzFJZp1RZQIRGgw2qC1wmbkUwtQGKQ0SOnw+KH1/MhvOrz79iXe/8Yldm4OubDYxvfq1H2Phu/SrDv06pLW0GWi6TAYJfSHCesDzTAw9EY+S/M1zpw2hLHm7IUY3zeAwFMGRwoGQ4XAJR44vGKHYNcmw7bNA4Kkx2ceVxw4MsVbbvK58eplfvszBk802LF5wHMPKzZPKmbbA2qqThi5XOpBs+awZb3gmQMhN+6u8/obFvitTw3x3BZvvtXg+gO++FjIpx9tsu94ncs2NdixMWFuKmTnbMS1OxKU0jjKAIaG7zM36RNGLr2BxwuHXfojh8FQ0R9J+kPojwz9gf3svWFCf2joDg0rQ5gfKC4uGxoTHb7/bfP8w9sDrr+syfmFNp1+jV4K7t5Q0RtKBiPBKIQgtCtInMCDDz3uNltTPz85tW7pNbff8m+73cFvtduN/3MBHoUDgO88f+rhDxw/cO90EvSYaHoEoSSIQCLAKEz6+0KAELaTRkmDkgmelDx3eI6nDzU5fO4S7351n1fvGTHZarPUadDs1mgPPfoDh156socjh0HgMAoMo1ATRoYoMsSJPcLYw2iQSuA6gponmGwJplqwYVazZf2A2akOn30SHnjaReoJ3nKTyyuu6vHgvohw1Ob2Vwg6wyGXFpvctlszOzmg7viMYsV8N0JpwSt2OzRaAU8drPG6Gyd41fU9njqowExw0x6Pf/q1S3zhmZDPP95k/6ka2+YUG6brTLUaTLSg7oPrGJQEbWD/cUGSCKLYrn5BhP2MQcIw0IwCzWCkGQSa/hC6Acz3JZd6EOgRb7phiXe+usM3vVkTx20uLDTp9mv0hh79oUt/qOgNFYORsEf6/QVhQhhqRmHC2YvnOHn2M9Mrvfi/vftrX+/0eoPfbLVePpC/bACPgwWEiP/pyoUvfmDp7BfXeXLE1ITPcJQwUKCUQAqJEAIhFEIIpCQFNyhlcJTBVZq6K1gY1Pnol7bwxae7vPbaFb7lTStcu7PPzGSDxZUGvaHPYOimwFb2CAVBJIliQRzbpd6kV5OSBseBmgeNuma6FbF53YCYPofPRvzR/TWOnW4y6de5eY/Dbdd1eexQh3seaXPrFTW2bRzw+18SKOHTbkWs9AO0ASVgrj2g2/PQcZ13vvYSH/10g10Xa7zj1gFhtMj9z88QJTVu2bOOd9zc5YqtHb741IDnTjd49rjHlmnJdFvQ8AWeay9CmV782oDWhihOL9bIEEQWiKMQhiH0RoLlQLDUA+GMuOHKFb7la1Z47Z6EmXad5W6DTq9Ob+DTH7n0h8VKMAgkwxEW3EFCEFhgj0LDKIBRJLmw3OGDf/CFdYtD+YFveNdrzOkLnQ9t3fDydBL9rfvgZukn2ccPcejY/m+fVPf+XFt/cW407CCEi/WvBUKQnjAQUiDT16UUCAlSWrArCY40eNJQc8CRiqV+jWePNXnoeZ+D5yI2zvTYtbnPRDNkqh3SbsQ06zGtRsxEM2aqFTPdTpiZTJid0qybjtkwE7NlfcTOTSO2b+yxZf0Kg2iJe58P+ezjDl94rM3KUpNd62u88iqHW6/p4tTmufvhOnU5we3XCXZtu8TdjzTYvdFn47qYTz+WMBg0edU1mh2bVjhyyqdVa7B1w5A/fxiU8dk47TMzMeTRAzHnLimiyMVRdXZvcbjlqojLt/aYmepzclGz/4zi0rLm4rJhqZuw3EtY7CYsdRIWO5rFrr1f6BgWenBhRXB2WXK6I7g4SOiGA264YoF/895L/LOvG3DrlR6OmGC512K506DTr9Hte3QHDr2BY8E9zDS3YTRK7MoQWpk3CjSD0DAIYBBJTi4EPLj3XNPRx19307Z953/uF/7hM3s772Lvw3f9reLtb5XB/90HfhWmfp3f+rfimx546sQvDhYPTnotl0Z9Gm1CjLEJGikNStoASilQUiCVQCmFUgJHaRyV4DoCz9F4rsF3DQ0vYbIm6AUuy90pPv5Amy89O2L91ID33dHhqq0jRsM+1+w0bN2gCCKXJFEk2iaKBAYpNa6TcPKi4fgFwcpQc9eDDc4uTGFCl6maYtOMw/YNDpdthmt2ddFygd/4iyZLSxPcepXDNbs6fPFZgYhd1k1Jmo2YQeQhjQQjUY5HZyS4uCTYYxrccVOPh56qs2nW49ZrpvknX7vARz7d4/GDTfojl8WVFjs31bly44Bbdvd4z+t6nFta4q4HfRYHPifPu5w96+EqgZQSgUAbQ6Ih0oYk1kzNRFy3Z0AQRFy1NeC9dwSsm1BMt3yiqMb5+RqDoccgsKvccKQYjBTDQDIMBMNAWIYONaMgyaXJKDT5MQyhHwh6gWCgFQtnF/j4XxyYPX16+y929Z7oj39+7g+WTv43prf/wP9+AP/IH/46//j9N4t//mPx10+4+z/4ntc/3bjxCoiGbXwvIEkKkAlJHkhaoEuUlDhK4Kj03hG4ToLnCDxXU3MN9cjQCA0TtYSpumAQSnphk+NnmvzMH0yDjhFxzE3XDdi5ISSOQRuNMTaJI4W9kBzX4+Apj/1HajRrDi1PMtsQzM1I1k07bJpTbN+YcOX2FRKxyC99os3JU5Pcutvlqh0Jw7jHI8/7TNZdZiYMk62QRt1KIa0lnZFiqW9Y7CR0+nVec80KT+wfcOCUYrJd45Y9k3zXOxf55U/CU0ea9IeGlZ7DxaU2G2YbrJsasX1mxL//+gHtRofnjsPB0xLXNShlEEIDxv7PQBzDjg0Jt18bk0QuUexjTINR6HJhwWMYuAwDh1Gocvk2DAWjQDAKJcPABpOj0EqSINSMIp2+lh0wiAT9UNCJBL3YgEx4cq8iCQ5O/uS/6X/wF0/tiKPJH7k/Mf/+UhST1Ny/eRPvbwXgd939yzRbE+ruz3zxzmn/7G9/4IOnas/sm+Znv7/L1dsCtHYwWgJWRwppUNJBKWODSaVSvS1xHas5PVcRuJIg1PhhQhAZ6pEmiDRhaGjHEESaIIYwFowiSZD4REmNA0eaPHsAEmOw0Lba2JXgKVvz0fLhmo3QrsNEUzLVUsxMOqybhm0bAjbOrRCZJX7pExMcPTbBjZcpLtsi2bVlmXv3xlxcnOCmnZKptqbmDfGlj1GCOJEIY4iTkOV+jYuLLjdeVecVu3s8+FSN9VOCRq3Fjbs133/nIr/4Sc3esy1W+pqVnmJ+2WF2sslUu85Ue4J2I2KuGbH9xhDfjXGdGKUSpLDBhMFeVFGkuDTvEMWKKFaEkSKI0vtQEkSSIJSMQkkQChughoIgNASh/V5tMJlq+si+PgphFAmGEQxCQScULEWCIAwhCLjmshE/+S9WeMv15xqffcr9nZ1XHeiKZPtNo6B/+m8De3/jAP++n/pj/vyJtvLEufe21MXfOnN+X024E3zmYR/XlfzE93S4ZssAUQK3lAalMqfE4CqD6yhcx+CGEs8V9iS4gsBThJEFehQZwjixrkhcOhKIE0OSaBINiRZoTQ5uITI9D64LviOo+YKGL2k2FBMNydSEYN10zPYNA1rNFT7xUMj9z0+zstDmum2K7Rtdrtg6IhErfPbxBk3XYW5K0WqMeP4o7DvmcO1WwyBQXH9FxHW7DBfOJ8wvewxHDd52c48vPzfk8FlFsy7xvTbXXqb5iW9f5L69Q/7ivlkWu4bt6xKWOw6TbcVE06XVcGnWDTVf43sa30lwlJVa0nIGxmATVloQa0mcCOJYEMWSMBZEkSSIrPMSRoIwMoQhBJH1t8MScQRRdqQuTQbuSNAJJSsRjIIQGfV5xc4O/+V7lnjHq0Ki2OP4qX1+FP8vJrnsNVs2zP3JyulfSya3fu/fb4DP+rEcBJfe/8jeS7/6yPMrtURvx3gG3Jg/f9AlDBze+8Yu73tjn4l2ghokKKlxlIejdCpDHNzIwXcUI9cyTeBKQk8QRsKenEgRxRBG0joIcWH7xYkmSay7kJjUKUndksydUdLKHs8R+J6k5kuadUG7YZhsadZPB8xN9YjNCh/7suQjn55hXa3GddsE2za67Nik2b5xmU88YlhaqnHVBsVUG1qNiIsnJJeWfbydEESCuQnJ5CQcPm5Y7mouLNS4YkeNN97U41MP1Jhpge95KDnJtbsE3/2OS7jyEn/+4BT7ztZY341YNxkz0VS06opGXVL3HXwPfBccxzpMMg3Wc5BjL+xEQ5II4oQU6BAlhjCGKEosKUSaMLuPdGo7Zq6MBfcwFowiQT8SdGJBLzREQcCE3+V9b1vkfW/s8dabNP1+E20U3/RmyXB40JeJ98Gz5xuOwf9DLM/8/QT4R37vk8SJ/vZ7vrzvv58+dqY9W68xjAWBNkRak0iPzz7u8sjeGueXlvgX7xky1Y6p+THdfg1HebiOa48wIXQdvNBKkzCyqXTLOMIyUcpKcQxRAkliiDNga3tvMh+QzFcXaeAqcB0LkJoPjZqmVY+ZbMXMTQ6ZnVrhoQMhv3tPnYPHJ9kx4bJrA2zZ4LFlPVy5rcsg7vLY/jZ15TI3pZhswWQrYGoixvMchLAX1zDwWOpGrAwMnX7MpWWPbRtavOqqS9zz+ICDZ9s0/AhXeQgxwa7Nim998wKvvPISv3tPi8demGSx77CuHTPZiGnUJPWawncFvitxXRurKJW5URblBtvDqjU50ONEp6tbai3Gmjix4I4jCGNTHBGEMYxSYA8iQS8W9GIYDWN0PGSm0eWf/6Ml/v03DmjWHTr9hu2oih2SxCGMXUbdc+1Etn/Jbd3o7X36ro9cc+PfXJHW3xjAl5Y7SCm/8zc+8qcfOH/mzMz6JgxjzSiCYSIYJpKB9AmUw0rg8d//yGP/0WXe+bo+d9zQY/1sSK9bZxj4eG6M77kEoYPvORbcKcCjSBLGdtmN4tTTTiBOZMpUpM0QFOC2ScrCalQ2YeK5hpqnqddiWrWYqXbAxtkuFzsDfuUul88+Mc3ScpPL5wTb1gk2r/PYsk6wc9MIx1vho/c7HDvdZPd6yVRLMtFMkDLg7LzBdyRSgDGCMHLYvq7L4yR0B4rlruHiUp3dW2q8544Of/JFjxMXfVwnQggXbZpEseSmncts/8Yun31qwO9/dponTzTZPCWYbSY0awk1T+C7As+1sYqjsIGzFHlNhsFeZNpgnZbEAj4DeZxYSWfBDmFiM5VhljyKBcMYerGkH8Eg0iSDgC2zXV5/4wrvet2At9+c4IoGy8s+UewSRi5R7Kba30mbwC/MrPO7P3v1DXeqYNT5Tb/2N+OT/40AfGWlg+e6/+Szn3/gA889v3ed51hEKaVxpcBLoBYbakrQjxUDWacTuXz03hr3Pdfjxqu6fOObB7zj1g4zkz7Dkc8w8PBdlzB2CSMnD5TiWBElkjiWRIkgjiVJIki0KLS2FuSqxJD77EpZ18FVGs/V+F5C3Y9p1QNmJ/sMoyFffN7wR/dO8NgLk0x5LtduNmyclqyf8dg0J9myPuSyzcs8d2LIXV+eY0I5zE0I2k1BuxHRGSR8+pEaLc8ghAXWMHB45+0Bdz9qa2I6fc2lZYct61q8+9V9HjvQY/9hj6Yfo6SwINcNRqHV+t/6xg67N17io/d1eXjfJKeW62xoCyZqhoanqTkazwVHCZQkTZDZz52VH+lUqmldrHBxCnRLEBAlgihJgZ0IRrFgEAt6CQShJg5DmvUB737LEt/45i437k5YP+0wHLbo9r30XLlEkUOYgjuMFKPQIQglp04cXIf76Aeu3PNq3et1P9xqffUbJ76qAB/2V7iw0EfAt933wJd/7vNf+OLMsL9CoyZRUZodlAYnBleBF4MvsUBXLkNXcabrce7RBo8+3+dPruvx3jcOeevtI6YnPcLAJ8gZwSFKgR4nijiRlrWTAuDapMytCztKCJMGlbaOw3E0npvgexF1P6RVH5Iw5AtPSf7gS5O8cHwCEfnsmDJsnDTMTirmpj02zEo2zUVs29Dl9HyPX/uLJnFQZ8sWwWTLod2EdiNCuCHdYZPJlkEIgTEQxZJpXxHrmF7k0RskLHcVZ+fr7Lmsxfd83Qo/+4c+J+ebOCpKLwyHOK4xCiUbZnxuurzLdZf12XvyLH90b517npzkXKdO01e0PGi6Bs8xuMomw5RMJVnpfGnAaHvRJVqQGIgTYf3zRBAmECYiXXFhGBviOEZHATO1IW970wrve1OP114bMVF3COMmyx0/BXWZiDKAZ66NdXD6gy6Xlu5fF0by5/Zc88p4efH87xhRZ3p68u8mwKNoyJYNzXc9+dTTv/zAA/e1h8MejbqDDExaQyJSb9uC3JHgSoOXCOpKMEgEA+UziF0uBTX+/NEm978w4JbP9/mX/6jH1du6rJtUtBsOYWQZIo4LkCcZwLVEG4kxVhKYPKBMU/3K2GSRE+N7Ma4K6Q4j5rsRv/CJGscvTfHU/kmM9pipC9bNGmYnBDNtxcyky/oZyYaZmM1zA2Yml/ns05on901y3RbBVEvSakjaDU2zHiLcAN93cJT9+8ZAksh0mY6ItaA31PT6hqWuy4XFNrdd2edVe1b46Odr1JcUjowsII1DnHiEke3xnJ2s8cpdfV55eZ/HX3+Ok/OS371nkksrDc4s+nhK0nQFXibDpA08cyLPpAqWyWMjiDVEWhAkMIoh1AaSGOIIqQI2TQ25brs9HzdfndCuO8Rxk07PJ4g84thJgW1BHcWKKFIpwNPYKbUkw1jS7/a4//77Zvoj+cvXXPOK5VEw/KqmOr9qAH/uhYO0JzeoL3/po5cfOXKsHQU96r6DEDaRYsFlUNIum0oanMQQKYETG7wE/MTQUIKhEgwcn2HishjWuefJCR7aN6TpB/zjt3fYMhOzY9OQ267p4QjbIiaElSs2K2lrpY0pMTepvy6sZ26IQcbsPS554oDDpx5rsfdUizBu0HIUc3XDdNMw1TDWB287TE84zEwKNkzHbJobsnFumftfCPiNT61j46TDXBvaTUW7KWg1Yup+wEOH7JLsNi2ojBGEsaTmKG7YPeTR5ydt4dMwYaXrsrDic3Fhiu95x0XOLCzy6DNzuBIQERpSALkEoaQ/dJhq1ZhsN3nV7gGvv27AN75hngOnNXc/VuOxA3UOHWsSC4cgUAwihcrre8qBZ5oTMJpYG4zWuCJhwgupEfGqG/vs3Dhiy2zEt7w1oO5JmnWXMGzQ6Vm2toB2rWSsHDK1I60Xbw2BzGsXRIlkcXGFz3zuvvahI6cv/87v+CZ18dyRZP2mr049+VcF4Pv27WPTxlnv4Uce/45jp+P/fujYEkI4VnMr0E7hXEhByuICJ7Egd6TVfG4K8poSNBJBoGGUuAwTl0FSo9dL+LmPTmHiiPVzI/ZsGzEzEfPeNw7Zti4kikSqtyWUmJtUf0qpEVLw8fvqPHe0iXAcTp5rcPZig1pdMeELJpuGdk3TrkGrLphoKNotxVTLYWYSZidj1s+M2LyuS2JW+PiX2wz7Ta7YYmg3FK2GpFXXtGoxrhvy2UdrBAOJu852i2YSpVlXvO2WIQ88rekHkv4woTtwWOk5XFhscPXOFu99bZen9jY4udRCSQ1EqV52iRJFENnETH/k0Ol7tOoNmvWAq7eMuPXKEacvdThxfgXHTXj2mMOf3NtAKFu4hpDVk2g0oMEYojBh+/qY971xyGw74crthvUzkMQuQdgijl2Wuy5xpIgSJ42DLKAzgNuYSOaBfwF063pFkcjLbB3HwegO66fFf9+/98nB9LqdHzl0eH+4+4qr/24A/OzZMywuLuw+c+bMrzz99JNSKScvjnIcgTESISyLqzhzLwxxYkHuKuvDuonVgL421BJjgxxtCBNBoCVBIgm1S6Rhvt/m3uc0hoQ/e8yObMDo9MiyeKlFllckSqRSxJGD1A6uI2n5sHPO0HQ1DV/T8KHhC5p1Satu5dBESzLVhpmJmLmpgE1zPRKW+YU/rfHg8+vYNQNTjZS9G5JWPaZRD2k2htTrDXwlUTLV4Fg5EEUuo6FgGCT0AkV/pOkNtW2Za3qcuTjBa/YEfP/XX+Tn/8Th1IqfroYROjGpOyEZBbaMtTV0aNY8GvUaDb9BzY9o1UNuuiLEcyNuviLmW940wFFxmgTSCGGqojyVdFpLhJD4rgI8RoHD4rJj63aSLOZJZWEK5DixoI7zgL9wtuJY5I/DzHdPbV2tbeUoBp54/EmZaPUrG1eGXw6C0QtfDWz+/w3wez73p7Sb1E+eOnTn0cPHRM13ANvmpYzAKAtw8lpug1SgEgt2R6VXcWJ7H+Msok8EsTZFZK+tPrSHINSS2EgS7RBpnyS1vcq3PEspwBHCan4Ftbqh5hhqKsF3wXeg5hnqvqDuSRp1SaPmWIA3BZMtzXQ7ZmYyYN10n03rFvmNT2l+/571bJ1UzLY07aai1VA0G9CoJ7TqEecXNUfP+9Q8e0FDKge0YBQ67Nyg2TA7ojvyGI5MyuKSlZ5Dq16j1ZjkW950iWPnL/DBuzbjSAeDJtEJsTZEsUMQKoahLYoa1CSNkUPdd6n7CZ2ejTE8N8F1Elw3wZG2UUJKm84X6WFLVwQgUpALOlqmTpSNa5JEorUk1kW8EyeCJLGAtsmjNFOaFMDOjigHenp+E+vF20DXPn/iyWfFrl3dO3fs3Hb0Tz/xJ8P33PnelxfgB07gxdGFHx6snP/hKAyko6RNTeX5KYlAI6S00kQYlLZuSiwzMJN71tausp5skmXdtK3VztPsaaWc9XJFHiiVNTekckjYwMqRGkeS1rSAqwSuY6xv7AhqvqTmSeq+ol5TtOqSVsMw0UyYbMVMtwNmpwZsW7/IY4cCPnrfJqZqPutbmnZDWHDXJc2aplmLaTUCHjsIzx5ocPmcycuAs7T5MFDcfKXhim1DHn9hkkFg0vY8JwW5S6NWp16b5Btet8Szhy7x6P4NYBRaJyQ6zdZGJq8nGQYOjZGhXlPUPI3vufhegu9oHCfBdTSO0nkZhJSWcBAGUbSVlIJzkQ5TSh0pndmvJSs2A7YWOdiTHLxVgMfpCh3HlqiSpDjnWhswkuFoJOPg4o/NNhreFZubPwWELxvAR8Oh7A+GP/5rH/ydf3vq1AVvbtq3bkEKLi1EqrklMjEk0h4qMcTK3ifa6nD7xRl0+sUkefYRy84pyHWaicuSFcYYSpn3yoqbpaqzhI6SacZSUSrastk/31PUfEXdFzTqglbd0G4kTDRjJlsBMxNDNs0t8+jBIT/+W+s5dWaSy2Y1kw1o1xXNuqJZg2YtoV6L8NwRnZGthnSVQcrindkTL4lij3Y9YhBrBoHdn2cwSugNJJ26otHzqfktdmyI+Inv6PCff1vyyP71GBTaaJJEEycxYaxTf1kx9CX1QFHzJL5n8D2F72hc1/r9jkrrfJTJCSdbXSv0kKb2TUoiJq1lSVLAJ7q4tyCV6b1IAV96HNtVNwN0Du5Khtn+Wd9TLC3OeydOT/zgZVe/3R0OBv+p3mj8tdP5f22Aj4ZdjAl/6oVnH/zXyehCbW7as50lVo0UHqsWSC2s5tbWIkwycKs0k6ZMztJamzyNrHOPFtubaaxXa8YOxgAuRHFIaSWKkgKlrCRy0lY015H4nh0AVPPtSIa6b2jWNK1GQrsRMdEKmW4P2TS3wqMHBvznj8xy8NQ026etw9KqS5oNadm7bmjUEhq1iCgJ+b3Pt5BK4UqDEoVNaJdjSZy4fOtblvnckyG90GeQArw/VPT6io7vUPN8fLfNlVtjfvKfLvKjHxE8/MJ6tJEk2qbVo9gWmgWhJqjZclffF9Rcge/ZzKbnmDxj6yiNVNYbt2XJJYAXKU8gJRFsLsG6LWkgnwE4nTqg8+QaKbuTr7gvBezsfKfJZYwxLPcUjz19uhbL+//Nm9/0RrGy0v2Rycm/XhLorw3w06eOY4x51ZGDz9TrXozvyQJl6a0M0EQLVCKqoE4MWhXALjO01kX7lU41mjEmZW2ycufxP5kDPKvByDJ5GXs7TlZ3InFdaes3PEHNtzNPGn5Cs27B3W6GTLaHzE12eOzAgB//8DR7T86yZUow0yxJk5pDs2brV+q1mLof4roBZxencJVASZ3ackWQmSSSOFZsnDLEcUQ3quWdMcNRQm8kqQ8UNc/Fc2u4zgRXbYn5yX8yz3/4EDy6bx2JlhbgiSGKk5TJNYGvqYWSkadyCea64DpWotk6FeteycwbT+/XwLiVKxlhIfLkkE6TQ1m2OElKSaNSvYtOMhlqz58tDygdhsqZNAiiKODRx56q79y541VSjjk+f9MA3//sp5lqDhqf/ux93mjUoVGzAV4FfClTJRpUBnRlr24thQW0U/qwpnRF5zKk+JnJ5Ej2+EXeW97qlvVwSpGDW0mZNkpk8gRqLviepl4z1H2rnxv1iHYjZLI5ZHaqw5OHR/zob07x/Mk5Nk0q5pqaibqgVZM0aopGXVCv2YvDpvpDHt0v6I88aor0IrMaPPtuEi2IYodmTXHbNT0e29tmEFmZMgwSBkNFz1f4nsJzvVQ/T3L1Vs1Pf9clfujX4eH964i0JNI6bZYuejADT+J72rK3W9TROyo7SGVKIeNkmuVdC+RZUshkAE8Bn+TOC9WVN5OWyRiB6az31ZTIy1TOrU6PxaUVPvHJT3mvft3XNP7gj+8efNP7/sHfPMBHvSP4zc2T+56669fatd7rkiBOAxCro00J3MUHSIGdgjy/4jVoJdZm7RKgdf7hC61Gqr3zkyFsQZGQKbhTm1LlALd2lOtYJvNcbCeQlxZY+Qn1VF606gETrSFTrS7PHAn40d+c4tkT69gw6TDX0EzUoVkTNOuKRl3RyNk7oebHtBoj7n/WY6VTY2qqSJNngNGpNo0SxboZxZte0ef+J7Ttokl7HC3IJTVXUnMdXMfDcepIqbl6q+ED33WJH/p1w8MH1xFphyitALRlr5bJ/Ujm1YWeI3GctAhLCpQjSkm3TM6JIp0vsvWmmhAaP3QZlLp0XwJvolczdv7zlNDKMVVR0huhL/Zed+ToiQ99+7e+93uf2Xti5YZrdvzNAnxp4SJyeemHht2j71fmIq16zZam6gzQFrj2jab1x0agValMs3TFZ/IjyWUIOXtXAslx5k6RnmXkcu0tswq6QndnFYOOwtZnOAbXNfienRRb8xLqtZhGLaJZC2g1RkxPdHjqUMAP//oszxxbz7pJl3WNhImGScGdsndNUvct+9f8mIYfEuuAXugjlMTNGDzX4OmFrlO/OHJpeiNbLhDWmMpAPkoYeJbBfU/iOg6uk21Aa7h2h+Fnv/ciP/CrmocPrCfSDkEiCBOdsrigFml81+C5tnfVSeMOR9kSYSVl0fOaNXiX4hfbBF75uvOCtTK4cxIqEVMG7pcCdfE76b+lTUnyWFlz4dQC0jv+/ieefPpoEET/4W+UwZcXzzI5tWn7I/d96Lru4kVcTyJkgpPYpI0eq+BLcpAXYM/GjRVXusi/qERTWQEKpiiykqa8ZmasXQ4qs+U27dBRaTDlOGlnUFqElFUP1twk1c0R9VrAVHvARLPHo/tjfuQ3Znn62HrmJhzm6gkTNUMrBXe9Zu3EDNx1P6HmxbSbIftPGO57qoknJa7SaRBXeBRZXBIlilg73HFTxOWX9Tl6qs5cg6LPMUgYjFIWdhSO4+ZdTkIYrtkOP/3dC/yHX9d8ee8co6huk2GxoZHWcPsuFuROtnrpvLdVqiRf4ZQUJYCLEshZpVcKkJsqwPMKxWLlzSVIzubkvzMOcF36nSTV7QjFuXPneeihJ677Dz/wXduPHz99cufOrV99gIfDU7i15o7Fc/f/T19eeNdA9HAcByWs9RSXfNEqS2c+qhm7ry5phR1VitzLLskqtyRl7nFwZ4mkNFuqZDo/JWVuz9G4rsZ3Nb4XU/Nian5IoxYwPTFguTfggRfgp/9gA88dmWU2Bfdk3dCqC5o1kXvl1nnRlr09C/C6HxAmCaNhjZqyF5kUpaWfTLOKNNB0rJZ3AoLQMIxECeAaz0vwXAfXlThKoaSbAxwB1+8U/PT3LvNzfxjz8IEZznXajJqSycTQig21dOKA75rU+8+cFJOzdyZVMoDn7zd902Wc5woxPSkmP1el8tuSpCzOranKF0MBelNezbNGDJM7MosrA46cXnrXx+9+NHndq1/xb/YdPX9iz66NX12A69EB4rhxqx49caeTPE272S4aCxKByir5lMlBnZgywMfBni3XJs9k6TEpUgZ49hWXVWF2Euy4h6LOJSsFKIYD2bJY19HpmIkkB7fvpeCe7jO/POQDv9fgrkfmWOhPMTchmaul4K5Z3d1IA8u6L2n4JmVwq71rfgiEfOkZj+XIY8anUo+NqK5QSWKbH9q+wxtvHPDowZBe5DORd6xrvMDWqnuOBbijDEq6CGkTNBi4aqvk5/9ll7sfHfJTH17PmYUphpMOk56gFWsaMfiRHb3sKTvQyM0CTSnyIDi7Lwfq5QtTiJKdVyad8nnLgF1h9pJWL8VlZdbOA9Qc4Kl3riGKHT7z0DHkxMY7Zb3xe53e8MRXlcHjuIdSzSuGi5/9V0n/MRp1jVQRUaSJEpVmrpRNPOSp3UKSaC0rcqRgapHXaxtMYUONs3ZZlqRfdMYsWbo5cwFUBnCV1p6n2TvXSfs73QTPjal5Eb4X0aoPcZwB9z+b8KFPt/nUg+sIdZt1bcFszcoSawFmPrlKD5Eyd5m9Ixwn4KF9kwxCh42N7P2MM3gWZEuiWFFzFa+6ekisLcCHkbBd61nneqBtcOiIlMXthSzS5LpBMDspeP8b+rT8c3z400Me2DfDhajOoCZpx4amYyzInTQOUSaNS7IKz+w7FEXtuEzH54kixinfcqmSjahgXJuXu4co4itdYvQ8iWcfZwmiOPXNoyQt3TUOd92/l1e/8op/9U/f85qn7+wODk/+JeYefkWAm2QfS2f+HOVNbYr6z78+iZZx3TqGECkcZKJJEmUTN4nASSSJ0bYmO8lSvSa9LweSoqq1yYBeBnbJeijbV8KMSZMsK2crBu1oN53WfKfgVrYWw3cjPC+i5oY0GiM8b8Af3OPwM7+zjqPz07h+jQ0twbSf0PYNTR+aaYd93bfZzlqaELL1K0m6Elh5stBN6IcenlJ40uQBJqWPkl3YWe1GGLvU3REbJoesDFoMI5GOW7Oxgusmqc2nUrtTWYBXAldb+fiu1/a5ec88P/27I37/s3MsxU0GvkvTlbQdW4PjO+Ap8mYIJ0v6pCufzKVKkQAqk0pVrJSBzporcA54XQL1mPOSJ4VK9UaRtq1yw0QQIFiY73Hfo4deT6I3XVzoHX7s2UPc+oqXnkX+FQEeRpr25tfvCLtP/ka8fB/NekgQqaJwKtbEUiOFIpFWoiRaoBONVnJMmqQpX1PUO+QfniKoxIg1fW6BKdhEZsVb5SFBBiU1ssLcSQryGM+xksT3Anx3yImLMR+8u8knvzzDsYtTtBsu0zWY8hNavklT7xm4ZQpumSeFaqn29j174bSbAZ94yOHwyTq1dAJX3i5GgfJ8jINJC5Vih6u2w9fe3ONDn5mh33Bop7NH/DCNG5TGcaR1PxQlkLslNrKrwrZZyY9884Drdp7h1z81zbELEyzFdQauQ1MJGinQPWnshZO6TPnql32vmX2I1edFptOs9skzYspKJ8zqWKrM4gXIM6ctq0PKOoog1Bbc3VgQJBp0xOceeIw33br1N7756254+6XFzleUKi8J8DAMcV2Xex98Yss9D57ddfo0/Pg/DplrG8SobpdI4eTAsmPQ7JeslURrnbJVBmzGQF5ibyNyFsi/rJy2TUUHZsDOL7JslorUqWuSsXeC68S2c8eJ8f0AzwnoJSG/8jGPD9+9gbOLk2hVZ3pCMe0ZJjxNI2XuRp6+l2mdSipNUu88B7dns5dBFHL4jE8/9JnyUxcnSzplrkQpEZbXpEQO7abDzi0hyh/RC1sMPUE9MgQZwJ0kTdQo62PLrAR4reBVMTcx4HveNeDOOy7w4bu7fPDjMywMmwydGjVH0XAEdWXwY2PZPKvRl0V5Q5blXMXkrCFXxh0WqkxegFuU9HmaDEpLALL0fpQIQg0jLegnFtxmNGTL9BI/8N4VXrnt+V0qntxy8/W3nIijGMd9cRi/JMDPnrvE5ERzznPcj33qc/vdU0vrueOVPb7jrSOiWKUf1FYFCqksyLUsNLixpbIZW1lZUgJ2DnCRA3rtDKUp2YEmB3ZFnsi0Sk6lc1WcBEcleG5EzQvx3JDOKOSh5yR/cE+bj395hlHSwvM8ZjzBpKdpeoaGb2h4BbhrvsT3JX4qTWxiKHUmUoB7rs18Hj9veODJBmHk4jfNqgAzu+Vp7jReCSOF6zq86eYeH/1Cn4NnmgxrtuMlcA1eDG6kcUONUtL61tJO382H+1CsiImWxFrS8B3WTw75gW8YcPW2gN+/p8UT+yeYHzYZKQ/Xdag5groEPxuwlNmrMm0xFJRAXq1ZGS/OKjN6viKXGNyMy5Nyut9Y9o6NZe5A2+kLgTaQhDAa8ZZX9Pj6NwjOL+x15cY3f2zQ774iCvvzf20G37F9Qp46dvjWfc/dO/GKK+fh2AjPSRBS46go18hCpAwuJYlWeWllucyy0NulIwN2BeQpQ5QIHNujY5k8TynrvNzT6m6DoxILcJXkcsRxIjr9iAdfEPzWZ9rc89QES50Wsl6jVVdMuoa2p2m4hoZnqHukrG2Zu+5Lap6i5glqHmmFnk7BrfFdq7+VE3DoDJzt1GxiJdW31cRJUT9j+yAtyGMtCUOH9W3BFVuHPH8qZhC5BOmMby/Egk8lqUTJEjUgxzpzypLQ1mnb+vD3vWnIW29Z5otP9/jtz7Z5Yn+bxV6DjvToew6eEnhS4EtsD6e0u9QpUVykSqRlv2sw+Or6lfKFV81tJCaLRUrMbSAylrlDbe9jbWUJOgSTECZweiHksX1d2mfunbjmOnHr+k2Xf4aXGB700hKlf8KfmRz86h3XP9d856vOceDMgK3rE3QkUCrGpNv1SeGQaG2HZOokBXXaF6nlamBn7E0RSJr8/0rfXEWaGMoF+laW6FRza5RM7ED8zM2QEfO9mPufdPj0gy3uemCCS90molbDbbm0HZhwbSdP3SWVHVD3RHrItOQ01d2ewM/YOwO4E+N5MTUvxJiILz3lc/J8ndlpgSt1qmNF0ehbYru8/DSVFMPAZft6wZtuHPDJR0L6kcswEtRcgxdbFg8iU1qlVO5XI2RFpph85UwbFbT12+t+wPveMORrbl7kz77c4+4HG9z/XItLnQZD4TH0HBxX4QiBKwWulLjCpFLLoBAlaVi1D9cg89XBZlZ+m4E7ZezsiNKm5zi3W6IU4BG4mof31Tj1yw7PHvfZueFk86d+MPhVLU9dDQz/WgD/woNP48gOOycOMbcuZsPGEJMYkkChZFwAT2qUlmitKgxujKzqbaoAz7pHzCphIqoBZQnYQujUDtSIFOCOk+A5EbVaxChIOHgWTpxT/NHnJ/jME20uLTfBreG0XRpK0nINLUdTdw11F2quBXfNtTMJbZmpLB0i/blJQa5zkHuubU87ek7z/HEfXDdd5k0pRS8qKCjr0iQRuc0aRC7X7gzYs6XPgbMNhjVBIxb4kSFQpNaeTtk7c1MyC7LQKkWhWxoPaZVOH3AZhS71esC3vy3gnbet8Lkn+/zxFxqcOFfjwNkG4YpP7DuMHAep7FRfBTjpfcbkuXShCP7Hb+X4KgO1Th/HJQ2edWNp0myPScDEoOPiXiUcO+tw7KQLMma+fpJw8Ozkrpu+8ZuWuuZD0+21J9W+KMDD0XExGAz+1c//2i/O3rXi8s3viLn5CoF0wGklmNAgQgs4LVXK1MoCPWWPjEkyG8sgSs3ARdf7WKdZigVT0nw2qWEliU53eUjwfTtJNU4SLizC5+91OHqmzn2P1Tm7XOfouSb4PqrhUHMUTcfQdLR1EVyD7xhbTeiSgjg7ZHqoFOCkmjsFt5vgu5a97YUVcnwe9p9o4MqqPZhLFIp68DzoypwUnfU0uuzZPuSKdQNeOBYziF1akSBwwIvtTEBVArjdEEBWmBzGLLhMBmV9k4kiSlwC16NdD/nWtwS89rouZ5e7fOlxj2OnfT73VINzizWSoYuWDpGnEFLalSLtypekGU/IZQtjC3C5pNmUZIm9N6njkqY08yMpHbEtR4w0RBrhamTNcMsVQ97/9h6j3tOT3d47v1+p8MOlheMvB/D/9sGHiZL4/Z/88qh58OgM9z4+5JrLQl5/c8DVO2M2TydcviPGNwk6sqMaEq1y3W20xCDzJlYqkiQDe/GtmPQbyX3uCnOXpIhKcP2EKDEcOy14/pji8481eOG4x77jdbqBTxD64HqotouvBA0FDUdTL/nAvpPVaWRls7Yu3E9liecpPE+mF4AptLeb2Myia3V+zYswOuTikiQwPo4j8aTBKdlsYwSegzwx1X7HMHYROMxNh0g1oh+5DBxhnY6oKBhzlK5kIGVmUgNkw44o5GFWQpENRnITlY+fGAQeG6ZCtq2PuOmygGE45B8f7/DCCY/PP1rj+eM1jp2qWVPBVxipQEgSWcoGlZP5YwCvZLfy+8wP1lVwk5QyQQnEBoeEXTsiNk0nXH1ZxB03B1y7M+LyjYa9x4+hlz+OEX9FF+Xs0bs4da6vfv2jx8SR000Go4RnDhueO+zyuUdqTHiGbVtjrr0q4i03j3jjDSFgG1vrDZNOkpKgJUlUsLgpszbV4MjWTtkPL6StG0FohDREoWEwsox+4ozkD+/xGUSKZ/bVOHLaZ6HvESQeOB4oF9VWeFJQV9BQhprCjjNTaeGRsqztucImPcrgdiVeKkt8D3yP1DWxKXPX0XhunGZEI+q1kEvLCZ9/uEWn5zM1IXBSLz4r+hIvtnyXanUSLQkCxeyM4q23jfjcE0NOdZoMXWlligNubHCjzLNOPXaZWLuQ8qwTmf8NbZzS37BA9xJF4ihi1459iCLXWqluRNOLeO21Ma+6OuDdrx9x6LTk2f0uw1Dx+59vcPyCC0IyGDokocrKNzFOtvSOWUYVgGc+sM6fi1gjEoNJwV5vJLiuRqB5440hb7l5xDVXRWzfkjDhaWYnNNKASXx2rpfsO31BnOjdoH71Dz4f/7Nv+pq/HMC1EWzZ0PyVd7928fphdJ5zCxH3Pu2gtWS+p5g3cHzR4+Hn4WP3tJibjjHGcOPuiPe9eWQbhhOYm9DccG1Es5aC3og8B7b6nGe7Oxg6A8GzzzksdiX1muSx/S5/8eUao0gxihTnL3ho4RAZFy1ccByE7+BIiacENWmopcD2lcFXxtaAO6nn6xTM7WV9mTm4VdqjKXL29lyN52UFWknO3p4XoVTIvU8rPvlIC+U51m6r6O8XZ/DMC0/yznTFaOTyztuH3PVQl9//0gT9uEYz1eFupsOjLClj8m4hIWQOMPunZEnrlwCu09EOjmVy11HEjoMTJ+meQAlK2UH6U7WY26+Mue3KCCMC3vuGAaPIjnP78y/7PL7fo+4LFrqKZ1/w6A5kqpLEmme4SALYNH6zprnhFRGzk4ltfEkM73vzkBt2RxgNc1MJ01MGNy3FMBpMZCcsfOlpwfHzMfc9M7z+9Xe0f0UKvucvxeDGLAOT7b1P3XXlpplI/dK/XGHvyRFf82/XERrHboNgr0ECAxc7LhdX7Bs/dMrwF/e2rbZKDBNTmluvD2nVTdo1vbbLnV/qqeuw0lc88bxHt6OQjrQzUYxjmUk4duMe6YB0kFLiSmHBLA2+1HjSAsFT4KliRp8FuSgaHhzbCJA1HpfBbRk+Lat1MwZPSkeM70QYE3J2wSMMavgTEi9Ne6u0Kq+Sxcw6eijS6wXIrcQLI5eplmLrbIgnRgxjn2EsqDt2CGZWQ5IltJQsl7fK/G/Zv5FJRF0kWbROeyYLaRTHSZo3UOn+RzFRnKAim0twVIKUMVtmdbpiaK7eNiI0Q6Sj6XQETzzvsDKQqFyxVIPqypk2th68WTO86vqIiSmNie1/U0+TTbaDSGIS65Mn6X8rhR2Z8WMfmuKFIxu44Qqj3hgNrnzPe9/VvuP4sHv1zvpLA/zsxQUQKz/r8uQbtq4/jpQxDz7nkegMVKp0hVbdz9hoOpnfJw3dFcP5e5ulj7h2At7eFf+mEQKdbblAWnMqVBHkSJlaWRmo07SzJN24NfONS/dO2kmvSLfeIwe3betSeCm4PYe8xNQyeMrijsZLs6OuG+H7EacXNL/7uSY4np2cK0sJngr4qkSWsWs2JNSCzQ7WCSOXb3nrkD+7f8i+iy36iUsjtpvS2ipAU3TiqCwnUAr2su8yrwGRpQKv7NB5LYzjKNzEzktxU6ArWSTNbN14+ljodHBQgiMMwiTMNjT/4DUaRJLKTEBk+2escc7LNUZaoSOHLC7Tsa07qWSy8yI7WyejRMxrrw944WjEk0c67Hji4Bve9uaTP+uS/POvyOA/+D++AChvzjvBm2/qsfeoy3/9nUkSaqAcy6BZYFEOncvbJuSPDYlbAnZudpc1WsZuGcCrwYuQMm9BUwJcYdPKvrDVgm46wNMO8syaakuFRA6lOSikO7MVXfUFwGUuW3zP5C1tnqdLg3Ni3JS9PSdCypCTFwTz3RrCcfAlFXkiyx+rdLrL0qECvNTpCGOXmXbA9g1DDlwIGCYOowT8ROAmBjcdmGSnhFlnqUihq0qnQvaV20m7WTe7KEkjjZNoEiVRTrZ9uUqL1RKk0ulKoQtrNgW5yP42Ot9+JnO98nhKlACawbWc+8jrc0qMb4r3X75ApNRILXEdyX/41h6Y8zx3sMYbru/SirWX6NX5nlUAf3bfOYQQHD/T4tfv2kEY2Vl4uKoAd7W0bA1y/kpypHQTwi6reS+g3RczA4idSgWuMLgiBW0qAbLH+Wsp2ReloOQNtp4SFuwVcNsvy/MyoGfBZwrurPvH0blEcR2rTz0vIibi7ofqXJyv404ovHINR9lBqV7SBbOW9HE56TMK7ATbd7y6z0PPjejGNQaOQz3WhGk6XcmiICorOLPj8bK/lAWagkqKXKczVQwkyv5NRwtiZStB7S52tpYnToFeJNN0nmCTUpcSb+ljWYA7s3bXKtBaBXkz/tM1YEKW4NMkiUvNifnP3zFiFAQIAaPeyTULPSoA/4XfuoeJVv01H/n4l28+bByGySQoA0621FowrpWq/aveckGSJQuE3ZVWpIkEB3KrTaUpYzvfpNC4KgO2tPvJZ6MQysDO56AobD/iWgDPAs5MdzuZLDGp3q7WkntuhOeGXOhonjpSB8fDSeWJUypQyrJ9Ygzh1k0qVd3lrXwy98SjyOXGywNmJod0lhsMYkVDgRvbz6ISO1tGRWWAY0Ge/yE5Vqkp0pLVtJRCaRItcLUgUZJEaRIliFOQl4vXsnIImYG8BOqsZMJOMCtZvaWJWQVeXkKyvCRg0s+H/bth5KUrhiAIHXDrN09ueMtrVs6/5cHJje9ZG+DdwYAwif7BMIhuGAYhNd/NuSBrLpCZR/3XBLlIFYqgALbA5FmxAhwmZ/DxEk4nq41Ia8CzUk/bXJx1qlhZovLulQLYWfOtZe9UczvkejuzBC1jF+B28+rECEHEp77s89ALLaTv4Elh52/nFYRFG11R8TeezRR5taXOG0VsNng4crntmiFf+9oeH/xUizDx6SeSWmII0tnqTnnFEDqVc3rsgnoxJgftyLTjXeTgTpREKW0ZXcp0tES2450uAbwEbFktoyhkSno5i+Lk/3V5sZi8lf57lX8roO4PbnDk8j9QhA+W/7sc4M8ePMXcdOutP/fhz37zwVPztDxF3TGVVGw5tPyrgrv86+XMXp7QoQBDngLOQF4abZAxt92CJHtOyuDkbVgVFk+7YVxVBbcdpzDG3GnPppe2t7lO1nAQl46IkIg//lKbxPioPHtZDjCLvsbM2ahocMba9dIGETvbT5EkDgKX971xwO/dHbCiI4ZJjWEicNMdMlSSgiwWedGZtQvHtagsWZOiWsnnpDNLVApyx6B02riiDCqxFYw2eyzz0uTCoixXdxZlzNlOGqt0+Esx+UthJyeJ8QvGtiaa6CxCL36zN/0N9yXB0c8pf1cV4FGUMBhFl4ejaJcJhsw2PWQeLFRB+le+CkX1v83fcMbkgvyKL5qHq4/HNWcG+vJsD6VEocXTirvKsJsU2I4ShZOS24G24942JpuUuYsA0ymxt++GPHVEcvhcDaNclJR4UuOM12mUBPi4i5IdeadTqaQ4c1Si2GXXpog9l/V55FCdSHkMY0FNgpsYnFik8i3twolTHZ4NPK38SVFicVGSRlnLWOau2HqXbLyeSqVfAe6sFsikZQIZk5OvHiKXE2mJxTiTQwVXfzWgr/7vpHQJgwHU9a7Jdni5TvTnsp/lAO+vLCPiEW0xYuuE7YjJUr7jtb5/VYCLTJewWt7koGb1sq7ymu/Cdiski7Dd86IAtw0yRd4t7uTglhWAl4f/2G57cmDn2cqcuRM8xyZ2bFdQhCHiT77UYHGxjvAd67uXL8IxaVKp0yg3Aegqq1a8aa2IIofZacnXv6nHU0faBEmNgfKoJ1aLZ+WsSpKCO1srdOqJZ4W5ALJSlmzGWwkrk3wlSmcrkskfWyDLihYX6ee2oJarGLyoH69WhuZ4+OtqllI+wRhBGDpEvgONFZJ4lP9aDvA//cRdKCU5d2GFubYkTAcm6tIEqZcamfZiV1x5SSo+4Foypbjyx0FSTF4qmmLLMwdzgOcsnskViXKqAPecdACQm20dmGY4HYObp+J1+jipHI6ynTv7TtoMbiA9lFRp9rJ6IY5nMMfPY/k7rerwVIsnijhx8BOHr3/LiN/6zIDnjtWJlMtASrxEp+6RQCam9P0Y214mSrZtCnIztm9RmckTDU5uIdqJvyotCVCJKYZ1phNpRdaoLCAe0+O57BwDeD77cIyF/yogH+/Xzdr+hiOf+cMnOXLsrrSupQRwYw4BVzR++Vd/Zee584s4yl5dibQfeBzcRe32VwB4kbxbo93JVCXKWGBWlSgiB874OGRZYuwsyMymNjlOtslrqr3VGLiz9L2bNSZrOzMkbxHLejrj9IhQbsjhsw690APlpPLEjJXHjl+4VYRXBxqNeeFpN06R+HFouoIrN4947nBIon2G2qOW2JptJ9XgStiNXK3blZGJhrzmJzvp5QpPiwUnH2yablygIZEW8CrdnULqYkJANl0rybr7cwOgCC7zwHPsfI8DvNDnXwnl6e+YIobJJF6Sbk8+ChJEfWrnK97xXY0HnvrWwetu2mIBfur0BSYnVt4yPdf+oVOXBijSXXINGFnYWauuopcC9xpX5/iMDUFqq7NanuRpblGwtZUt5aGaGcgpaqRVCdT54zTJo0i9cAtuC+BiKJBblidl9lZpX6cXstTT/L9/2mJxWEP4rpUn0lRWlWJwzkuftso0gWxOTM7g1lGJY4d2w+H73tPji0+1WQw8QukwlBIvTWsXIx9SBi/X0wtNVkZr0Cm4dV7pWTgrImVwkwfpGdiVFCmDW0mU5C4KuUwpdHjRTlho8RTU5ccvgpGXgne1Z1eUJIo9p5PNRdT0NT90bv9zDxo9/DNIGfxjdx+hUfd47OmzLHcT1k3KfM53hbnHE5Jf6SZWf4hyRCzG2C4Dhp2TVwJ7SZpkHTI5sKVAqmL8mCqB2pESJ5UkTg7wTHPrPKh0HZ2D23Wy+osqe7sqwvNC/uhLLnuP1kG6SCnxs9LYkrWZ7xGffsgXrSaEasKn1G6mUya3mzy5XLtrwLte2+W3PlNDOz5D6eFLkSd9lBRElYCuyuSizOQVcBQ1MVrZbWccadlcafLZjpbVBcVYiWIWTTGZ1vZxClmVJxnwKzgYe/6XuZXlSRnwAnuO635A3T2KkmAIyAEeBQ0CPFx8Jmo221fakGDs6jFFJv4vsapUU9VZYb5ZNVCm4hnngaUo2DxnyK8EcFkAXJVqqJ20LsUllyKuKtwStzQcqNDclr1dx06tWu5o/vzeFgsdH2qpeyJKwdiLSBTKDQElcljTtssHJUl0krkpDlNtxde9YcBdD41Y7PuEymGYyNSeFKl7I4pmbFnYahmwjSm6fnTO5lnHu8DJnBWVPpbpc2mnAmffexnkQopS9302xDOVJhU9XkoQpqvMWgAXwlTS9muRQnGBFqRpt3SpMTHTZnayTRx7FuAHDx1mdmZqx/0PPv79zz51gdlJx5YmlkBdnTAlVgWb5cdlO9DAmrIEsdbQTLHqecbkSpDPzcs7ykuzv8sdLna4O1VwZzsbZMytSsy9isGzcRPFyAlH2czl8ROCQydraHyEdPLm3KJ6sBw/iOKkls5kuRalOGmiJE9E7mTk7WaJA8bhqu0huzaOWDxQxySeZfHEyhSn5OIU7Fku9EoFd1ZGC2n9qSgFn9jZ7SnQy7GN0vai0ZJUe2fnpSCjHNxapLNUMk0uxqRK+Xsp48YUiM+wthbJmrJEKbCXJDV6x1bQXvv7d1z+hmdOnzp6wsEYgjDc4Dm8NQk7TLQcotgUQzANGMzYCSkz+tq38jVYsQRLrFZOZWdJkao8EXlQmXWulIGd3yvSUcBlH7x8pFtaqzK4SyBP96t309LQjL1V+txxIpSKuPuRFocX6uAV8sQtWZerJdfYF7EGIxVjzoqm7GL0XaHFw9DhstmQd9w24PF9DdAucWK1uJuk2d2kKpUK5ixsuSzwtGPVRBFsZo9l+limq4rMDvvdJ+mKIUXK6jpbYU2JqEzpIi/nN0xlNVudAHpx5i4Ta4ZFnU1CS92fKHFYvthh4w7z1jAMNkSxPuFIaeNsV9nhNlFi30A2z9mMXS0FuM2La/GSJMmeFuy9GtTZ8/EALQO0WAPYOZsrUWrCLYE7nU9YbNvBamA7xYCgfMSbo1OQx1aeqIh6I+SRg4o/u7fJcORBw8GRAldUpcn4+y9/1jVPXA7ykkwxYwmfFORR7DDRcnj3HSM+89CAxw56mKbLMPHxBPmFpvK/X+jgqpdlQV5OdNvgM73AlGXzRFo9rkusnQX1Og0upRYl/S1KgW5hHmSPIU18UQ0+KUnVEldXwD4eB1anomU5BLvB7jCQRJHdOSSODc5wGCKly2AUEccGmVbdaU1+FZenhhYAFy/J4mUwl9mbMVBXmHvscS5FRAFqqUq7NyiR1qYU4C5AnpXNGhynGKHspJswOaoKdDdna3soZQNMzwuJwoTPPNxg36kGuC5CqhRU6dyQUnApZJXFV33+7PvLiSMlkVIm04Jc5lo8swvD0OHqbTFve3WfZ0/UCWKPRLoMtcJLGHsvmRfOGIPbezP2XlDZxabRStg9Tg0YKTCpo5bp8XxFlSB1aZahLlaNfOybAKHHVu81CK+aDauywFrgzpuY81IHm7fxXHBUgiBCigjnw7/350ilGA17aCNxAaEERhS+aDEeV6ypzSupztK7LTsn45nLCnOXWTsLLCsBZrEDQSFNSlZhztgZwIvJqblESZnbMrbJmdrJ74vHbhpcOirC90JeOCn43EMNBkMPmi5SZJWDlOzBNbKYpc9ZPnm5j4tJNXB5kPxYwqdUgBVGLq1WyNtuD7jr/hHPHvPB8RhpiZdqcaXtJruFTACRYAM7IeyMhnKdtSqA4ygK6SItm2erShbka2PBLnWRaBO67Kak51IXzF6NrezfXwXwysq/li1Y3Ot0zF85OM8+Q6OmWDz3BMlgn+1U6qws2mtcx7mfDPbKzWc76/LVk17/FfZevQaX33S+zUhZnlD94KIsR/KgcpzBrd4uZzOVSisM04pC286VPnbK88HHwJ0ebjaFNi3wd1RsDyfCdSNik/CpB+s88EIdarajycvkiagGl7kzWL6oX0KHV7/TrJy10JSJyeaaFEAPRi6vv3bAO14zYO/JGnHsYoRiKBzchPw9iaRg8eItrM3k5SH2SqWWobRsbp/brSAzHZ77/RmjZ6ttyuAFe4+d41LAuWpVe5FKw7JrkmEulyb51ifpBZDiptMdEIQBWhucdsPuK2/3MkxwlMzlSL7dhCz+EZ3+Sy+V7Ck7KeVCo4o0yQBeausq7yxQAXZFqpTT9KUj3bGgAHrpcIpNUDNAuyVQZ86JdUzsvVIRnhvxzAnJx77UAjyQLkKovItIpWnrctY1Z+3ySpZHIyVvNc/IlZm7pMGNsOOnVTr6Id8n3sEYh/e9ccjnHx7xxFE7SSDSikEi0oKvFHRJytrlMokKdOzqgaIKdEvs6UVo0DLdzycLijPtLVM2F/Y+X3EzSZKP2ssu+Gr7XlFSW5DgixJBRgD5Ske+y1uZwUMBamhnv2ijcaYmUoDHEIYJhnSX4cSmZxNt7JUq7IeVZswmzBg9P5XVZacItopgQgrGlq4SsNNDlDzvDOD5nLwyyNPWtGKzKZOCPRuAX4C7wtql+6yxNpMqSsW4bkyUxNz3WJ3nj9TBdUHa4NITpjQ5thxYVTdxqpJ3FVqm9CBvgCjViFSqCxM7rdeW0joEocs1u0a8/lbL4sPEsnggPEYanEQUgV+S2YUmNYzLCYzMc65mq632BqPs+VYGm/00AmEERoA0opAqJeeror1FJl9KgK+wd5XNXxTg2Xsrg9tkdSjFjhDZJrOxsdWhxoCzfZOdjBSEgpWOYBhIgsgQC0OcWB9TC4MonQCTfhMmF+Gy8nYK9hpLWa+SJlXHpLpHzFj9iSDfeyffvThrvq00PBRblyg1Bu7SUPzcPVEJyikBPJUonhNx+Lzgtz/TIohcaLipPCFvTVPlXYLLzknFLqpgu3LWykCvjDkrDSvVZi0t7tD0Jd/2tgGfeqDJwbP24ku0YpAoW2WYpMkfhF3+k3Qsx9hKkpFTGeAyj7usJDTGBpNG2nNkpLAA16KIlTIm14UjVpWg5JOwyqXSVYCvrQcqcV/Jvs6KxOIEu0doqBmOYlb6Esexm2KpP/nDH1y/eS76b/Hw1FWjUBEn2WTYyt9YxbSirIuFqMqJzOWQ1deVkCXJIVNrLxsHnN4rWbH8xo9sZELZ487vnUJ3WwelCu7yXj1FMVW6+4MT5c0MrhOSyJDf+osGv/e5SfB9UDWUcmgoQ12ZdBwFeYOzW2qNKzKp5USUpJgMSyVALWKJwnbMLlohSRt/i15IJQ3CaLZuCDm7IHnyeY9Y2MkDWiiEsKW01QRLdRXNT2wpG5g/NyVRUya0gvcrcqYyB5ySpWyqzLtqXnjp98pefFG7LkrSuKhfLz/PZ4pHdtOu5V7MkbMx2666bsMrXnXrF5z/9cdLk47pv31WLtCub2K5S1EElUbKZH9IlN50scpVLoTyYlwJLivsXZYkZQ2eLnVl1q7UgZuK9pY5GApJokraW+U7PZQ2olJmTJJklYIZe0e4TsShc5KPfrGRjsqw7J137md/X1AZL1y04FUDTVF+kgNoDBy6lGzJTmY2Tz3LahqJThSJSrV44vANbxrwyfsa7D/jggwxQjJKXBzSepHsu07SE5VkiZ8MqiXpZOxzg+3kyt6bTM+5NCBTmZrpbmns3zA69ccze3mVe1LCVQUTVC66qmVY4Kuy2lHa1yeb15m+/8EIXH+Z2666+PY9O8ykM+k6DIce55Z8Gp5gFNr/MMua2kGLdnky1tV6yVv5DWaMkQ+HZA1ZUtaxsvq4DHDbRZLp79LjDMhZtVumwUvgthNZdXpv7UClNCrzu1WMkjEqlSeJivmLB5vsP1xobymk9b7zDpqxk1c6YdXnghc5Z+njagNyxRMvTaRytLC1KbJI4YeRw9WXB7zzNX2OftQnTOzkg0Q4DIXASVL7jizQzRyVkk1IURdiUgQZI1D5yc7OvUm1eHoIU6T4BWhpga9FYSGWpajOHmtWSZdKvPYVbjkZ5O/X/ndKCnxP0WoYJpQh6LtcuFDD2bhuyPLKiMcOJywvG2anyqMHCj0pRHGFj5+l8hsrHle19jiTV4OR8crB8n3B2tnzjLUzsGfMnQNdlZm80N0qCyKzLU6kxpHF0HylElw34th5xf/6RJuRdMkmaBVd8+kKUq6BFmWmHlvGXuxEVZbv1M0w1U0CikBT5rXiGbgT7RAnLn4S88/v7POn9zU4es4BFYF2iITLUAhUUlTzyXKwOQbyzJs3gJNdcOlr0tj0vMGkrJ154rrC5ib9O1ra/6ayMo8bC9lXtaYWXwPwpsrg+feX/p7rCDxXsWuL4eySZHkY4nSGOPc9Lblw0WPf3jpXbkkIQtuUK2UpSEy/ACFKuzCs8UZE+mR1IFG8Ng7scZDnmzaNsXaWSKmCWxcSRVYZ3Kn42ymYK3536ZCWxV0npBtqPnhXm7OXfDvoSLoIIVN5Yiq+d/6YtVlpfJ/JF2Wk/IRljQflHs0soSHzI2+GkIokdtg8F/Bd7+rx07/t0YlsQGCMJNDK2oZJcR5JBIXCLkBe/L/9iUqvQmPImVtlmc0sAJWmYHBTOnfGum7ZedVrnOu1/PAy4Cu3NeRw2ckT6blwXdug8ZprXK68StNsRzhXba4z69eIl10adbn6CjIFaM34FVZ6IFbdr75aq57o2sydAbtoLi6mtObsnRbcF4AuMbmjU0bXuTSxckSXpErG2HF+76gIx4/4+Kd8fuNP2gTatd+YULk8yZuKxyyxiu7OP7tY4wytZvGCnUoZzRz0Wcre2A29dKmUNnVVYu1Qc2K+5719Dp30+PBfWC0OikRIRtoGnDIhZ/CiAKs4yUXGsOyWgTKFZDEmZXNRBHrZORLZ3qel78bkgW5RLqvHcFAw+GrLcNVCU2aFsQsgI4neQHLwZJvYm2ViYhZn+0ZJw1XMn/eItG3RrGhmWfl3qo9Lb6QsQ+y/MXZVvghjV/W3WaW7iyAz3aK7vGWgKrsOuiRVMjCXmFwW1YG57s7v7azBpWX40y82WA4ycFuAu9Jqb0dU5Ull1cnssrHvZfyLG19eywVslaq+bDcyXS6lLdWJS4nSCq0d4sRhwku4880DPvlgg8WeAhmBVkRYPT5eXVi95F6cyW0eqEgKZfUpKg02SVncArrE3ma8ZKFI3VOK5Qo2NxVyXMXkL7ISZiSsgSi2R68PqmmYHGoc3w/w/RDPBRJbRinG/4FVF0zx19ZaZsoMXZYqshRBVxmwCNoq29eVazzywLLcYFANKrPhNAW4k0qAmQWZ2T43Tom93UbMp+6t8djzdXRJe9umhkyeVOtNZKkqbq2LuWyFr03iKXvmFlohUcabIUw56DQSZQpfPE5cHB3zqmtDvvaWAb97twcqBCExQhBoByWE3YIkCzRFAepxuZJZg8ZYuzZjdiULGWWkNR+ksRe3NtW9NU0G9JIkNalMEkKker0g0fLqRzkhlIE7sy7HgJ6n6FOQGwNhlBDGIVES4LxwzLC8ZFhYSZhokQYTq09DRXOXrqhxgCOKOui1XIWCScZcE0HaqDrG3qIK7MJFSZ8rg5OOGJMydUykSXV1SZJkjoksSRRp3RPfjTh6SvLbn2pxoefZ/a6lHfSuBMWODWusPtVDVAA/zt7jt3Hra61m5HKwaSpd93b/HHtvtz9Z30z49q/t8+DzPkcvShARoNBIRkKWNpGy5yADdW5jli+4Mp/n2cz0PJTZXNjHQmD7d01qSKQyxJhMhxuqVaMmB7QwhsxtQxhs2XhJEZgS8MtZ9HFtnl5ss1OKq7YLZucEjiM9XOWmE1bt75VLZMeZfBWoS49zYFM8rmrute21SiVeibHHmXsVyPMZ2eOPk1x7ZyzuZOOAVYySCU5qC3peRJBofu2P2jzwVN32tknHam8pbdeOKOav5M0E2fsrfQ9rMXn5XFSYJ2fK8TqQAjzV8tlyGa1tN9OZo5JoYumgYofX3xTy3e/r8uO/5hHE0magtCROXRWpRem9WZBXxjgY25JG6f3Z56IUG6Td9caCWqfAMlggy7TtTGe9myWMmPG4pUQQZux5gbtUwqQXVBn4GYtn35ktToEw8ghDH2fresmEL9ED+waD0G6jnCSrWXv8D6/1JsVaAK90dYxJk5di79L+8zZVPyZPpMlfs9tm65JEKR8ZeyfpQMk4Z3DXi/nSEy6ffKBBELpQd3LtnbN3HthSOVYxdwnFOdhL9Rbj9F0inqK+vgJuMCpldF2tFU+0RGorVTKgx7FDvRFz5+uH3PPAkM8/oaxtiAQhiYTDkIJ0yLzxElqMzDyWUgrf8npRlyLTbKYAVbaQjWVhk7K5yByWks7OGL1CiNnPMauxZErgp5ykKlG4sePnokQTRobRMGT9hYQg0Ti7t63Qn16hprucX5hifkURxav+iTWW49JJfpGfC0qMTVmSlGqVx4BtTXuT9mKaqkWoiglLSpS0dz4JVeePc9bODlWA20nB7bkRK33Dpx5scPB8zUoTYUtiRaa9BaUJUmYVuPNVKPsOMkC/uPCu4tyQp4gr5bNlqTKW+BmvF5dSIXWC1A5R4LB7Q8TXvrbPY/s9OmGaftVWj4cosn0g7DZh4y1txZk32OROfkGmI0SKZoiMzVOpkjN4WkMuTMrYRRubyV2VFLRrMno56CwKx/LJrTkmMwFuf6YTQ6cXc/x8jD8XsRhFOJ99wmFpydCZH3DFpiajUBEl5JlMs4buLAeLawJ+jLGrUfRarkl5W+4qg2dglirzwYvgUuYALoFcjgWUWSKn7KJI2ymvSfidu+v8xidadqcuNc7eFNpbrvG+y8vp+JI6zhBrsHe55LjqhZdlyupWNp1v1ajRiURL64srqYkSF6k03/PuAUfOufzGJx2iuAC5RhAIidLZIIlSlJaBPAe1sHYIdhEotG+a0s/ZPM1sphrfpOfSlICeXQTFzJT0ssoSQlnDtCkuAEShz20gai/GrPUt+56FAKEkeIYEyW03dHjjawZMTbdxJrwaXdPkiX1tDp2ArXNxvh+6UqJSEjoeGK4F7HGnhBcDtiy/Xho9lo8GKwCdTzQVqx0TmYFbjcuT6p71Kt17xmrwCNeLOHJB8sn7mvT7LtTVavbOa76LVaec4Mm/XFY/hq+c5CkYvAT6kmQpzy3ROqv3KAFdFnuSamm1uJQOUZTQasa8+44Bn/lynSPn0/SrHVBNIgTD8jvNwF2yJEwO6rStjlKNeCZJZKmwKn+NiktSAbo0aQKoADqZnWgKdi/LW5MRhs4wItDZypMyu8pGhNQdrrsiwnN8dNik32nivOHmhONnQp7aG3DitEu7Bq2Gg+9JZH6qCnCPJzjkiwC7PGdQjAG7yoAl1k4lSzbMsRxclhM7UpQHs2fOia5styFLskTK1DFJmdxxYoJIc8+jTb74dN0OB5euBfgYe2e2pRKiKq0yLStEZRXLcCO+ErKrhF4FeumwvbGitGO03YrE6m5dyBQtSYREJRItFFHg8OYbQt78qiGnP+0SaKvD00ooYhwCYeWG1GkIKYRdLkSx+7TKEZA5KvZasV1jaUo/091krokFtZSipADKDksB9Ey/V4JNYfsBMt2vSwSodfbvZgGyfT++C+2mYcu6mOdORCzOC2o1hVy/a2Jlceh+5tmjNeqeSQeim9SaKQFZrl6qywNviimv5exiVuZa/r2Snn0JP9vWlKSsPPY8d0xUAe5q5jJLvyelxzFS2k4d6dmNtX7mIxMkJpUm6QZbQki7D5Ao0vJVBi/HD2uz918iiVkgO2PAVTKlahdqyMuYKwFnWZPn3ridhiWE4Ie/o8vt1w+QYQxJZLfF1hGYhEjDUEOgBaEWxAlEid0vPtHZfXbYn2f11/nP0iYD2yRDcejs9XLVXzqLPP+9DG9jP9dWT+t0+KvOyxdsjXcx7aGUrk/xOBxJ7niF4OrLnc/Q3LSinjy0o//YM72jU3X13e16TLNu2Tubo50DtVymWtrlq5JGV8UFoMqvZSxYqSNJQV6+APJ/11Rfqxy6KKiSq4PLXJpUbMIsoWN7Lc8sCX7mtyd48OmmvfSlbUdDujhSUJfgS9JNrszq2u3KkTZA50NyqsOIspp3qcYapsXYd5UyXlGqUC0JKMcmuV4trYy51CvvtmBgdibGdwyPPeexMpRjS43Mp4gXFYep9q1GEqWr9SstTaKoOC1Jr7LNWFzfIs9qZrNP1pJw5U2pyuUi1rgoWhpV2lrpOG3WN1e+fXtz30Fn92ZbIB/HNllQ8x08J5vMOgbskqORtyilfXeZS1IZHZaValYaUasyJXdRRFlrr5YmckxzZ8/XPFQ5sExLYdPHiZfw23dN8Gf3NjE1BUJZdArHsnep39JZxd4vbg9W9sJcfc5XeeBm7Hl2MgtWr3bbj3f4aGkqWtwYXdSoCIXUmkQ4yGHCnW8Ysu+Yy8/+pkPoxwXAhcBolyCtnRGpPCGxwtiQ1Yfbd5nJEFWSMHmPQCZb0nNOJltyfV30ZxohKOtzkdmLqbWY/460pbwyzcWb1K2qfLVJkZntGUEUOQwiH89NezK3bbRTmoJA0O3bwen5PjjZgHlVZZBxW2/cx86BPR5IrpUoSYEtVoG8vFVG5qbodPUoOlxyBpdJyUkpgztBlmpPPv+4z0c+3WSUpFPwRWYN2k1MPWEq2nvN1HwZ6FDRjxW5UgH72sxn0uAu855XZTQxq0pojSxlNmXJWRHKLvMyLc6SmkQ7+K7mO97R5+FnPT7/tEyTJTJnKW0cAm3b0fIKKj1mHZYSQJn/nYO+DPKURXXabJEFmwXQi3NfAD29AHKgpyUFuhzXWMCnzcHFypD2imotCCNBt29Y7tl4DAzOVNuyYeBpBCLPYuaMPFb0lFePjQNblFhZVK2/CrBLv1cGssgfV4FuvXBdAvpa4B6TKPnGpdkRo5yIQQA/9aEJjp31MU6xW3JVe1NyTtZI7LAaxKXYsgByvqq+uCAfn0xQzWiWi69MVY+P1aZomVYcyiqLi0QjhIMMNZdtjvhP/7TDwz/o0xulH0YXS3+CwyiXCatBboFbgDq7OFXKwhmwTQ7i1DqU1o409pKyEiNl47I3LvMLwZQcFYsRG8Ra58SI9Hke4BoSk4opA1Fsu5xF2obkTE7OIKViOOwRRQvEiSRJCvsoL2MV4yxuqjIlA0JpdG6Z5csJnmJoekmulNyTLGtpd9XNfPASsFPQ58mbSjKntDtvugW140TECfzyx1s8faBmPW+ZMXfhnLiiPEizsAfHvf7xkt+CZbLyUPGifL2Kyceck6IBgqL30Yg80KpUGwrL4CZ7nDF6ItEiPRJlpYrW3HhVxPf9ow7/848mCRMJxOQmsxEkKAJd+M2rmDy17JQoZTmFtZJNmc2z1rXS67k7kjN2Oc9iKj/LgC6FSLOjqWQyJt+DOJdtAiutsIHqKIiZm5tiYqJNnCQ4t73mLdRqDU6f2Mtjj3wWIWppLcHYSS0FPWV5sSaT54HOGLNnLF1+PDY4vbyLV7ZzWJW5s8dJ4YWr8nbTVeZ2VIxTS/jCoz4f/niLztC1HmDqeZM26Wbs7YgqewtZ1eFF5m2NGYSVsKy0p+g4oMdYexXeK0A3FUelYO10KmwmSfKxy3YKgtaSRCqk0bZeJVa0a5rvfO+AJ/f63POIgoYocukAUhBryShfbQqQG6xGtr25RZYzkyVSp2yeS5Si2KrM6HINoOsSllbJlvQ1nWZMsxJdIahg1KQA7w0i3nrTTdx80/V0ez0c13VwXRflyHx9rOjM8UKoce0tVgO/HNXnz8sXReUCGQsuha6A3KbHdQnYJvW1S953agXKVG9nVYJSxkgn5sAJh//1sTZHFj3bBp/63dnOzRl7r2omHg8qGWNuSsDOwE5OdGvfMlk7VotSsHix/OaNEKyVxh8bEpQVYhmdb+shMqkiDEI6yMiwazrmn399jxMXHA6fFRinLLAESDcHuSiB3GRMLozVGtpqZZVadtkmp/YCKJI1GatnLW0mNxjKyaAyo68NdHuxpBdZVv9SqlAsylIMUioc18VxXBw7glYQRpLuwNKTo8pJltXSZG3GHgf2mDSRphR0jskTsZq1q6+VWDwrqhK6xOSlQitZSBPPj7nQEfzUb7b55JcaGFcV6fhUmqzF3kXd9+qUfBnc5aRORXKLMZCP0XiFtcfATgXsZV+8rMMzQJcD0KzzR+YVffZxGnwmmhiNK62r0gkkP/TziosrAvwykwvsjBXJSKRAxqSBaZEEsuC2H9jI1OXIQZxp5UKG5I+zazyP0V4a6FqI0uvFhS7SvyPTwFdJgasEzbrCdSX5WJN6zTAxoS5IqT8nnQkGIztaV5R86yzRUiRcTD6euFIAlbWNVcY56NLvlWpHSoysVHUn3Wr5a7UysBJc5hq8cE2ktOB2nZgQzV88VOcLjzfSWpPMEpQpg2fsXZpTUmLvNYupSvpbloCdZy/HmDuPMce1yJhcWTWnkHQ+iC6DvGDurNMn0+OJzkppS6l9I9FG5UkgbWzFoTCSt9wy4p2vHuCJGOLYJoBMcRijiTWM0kRQpCHSgshArAVxmhCyRykpZEqJoWy0sRn7mSknkIpkTzkplD9Ok0HlpFOcmEoiyZoidiry1i3rEdL5XIJ3IdIK9dM/+/9y002vXemP5MpwlHxTrztPoybzudquNCin6I0skjWlktY8aVMqiFLVFrNy5rOyJZ2q+tzlbKYsAb+4MMpWoE7ZOinJFDvnJJGaux6o8//79QmOX/DTJoYioYN0EFLgS6hJO8jeEaRb85WmZuWJp+ICKEbKFduq2Ncl+bYqojqk3zKKrCZuMqdu/KjEPuMO1Jgvn3nF0pRyEdXfrcQJAtCG6XbC1ZfHnL6kOHzKsQmfUhETqZVohLD7s+WB85gOK13hhWeeMnXqyhjbyrPK+6/4//nrVYaoxCT536n+N/ngVjR7rtzJ5g2T/8+l88cfveN1r8n2ydRgLGD80rbWjqrq43GLT7BangihK05JVbKUd+QyY4FmSY+XrUGRBpFlmSKT3EWRsujOyWpOXDfh+ILkw59ocvCoDy2VSxKb2HFWs/c4aLLHZeYuHzLDw3j2b4y5K88LF2XN4BKBHUZfYveSiyLzKsS0tQ2bvpcCtJapLLEBqMiYXcjU3bFSRRhDoh2iwHDVrojvuLPH4897nJgvLVV50AlGO8RSpBtDpCuKBKMzu9DqciNt3YrRaf2JLJwNKezrmdQwpRgulyS6CDaLwLMoWCv6PUv/bbqBXGZr60QzGMX0hxFhYGu+HYArrtiN59fw3YRkdIxGLcFRY0Fi5b5sn2XAzLzzlwZ2DuL84rCgXQVuUbC6fZ4VUNniKfs8lSYiPVL2XuoJfvH32tz3dK2oEswylhm4pZWe5ZqTco+lEmUWXG0LrgL+OLlVHqx9KweXZVqr1KWUQG5yAFntLbUoHIaKNy4RIp0pqU36WKXgkAgUWmiSgeYNNwT8y2/p8pMfmmR5mAE7syUywDvE6RVbgJr0Z6nXnQaXSpB75oVrUnZLMl1t8uc50KHS8WNEkaXMezhL16AQ1iK0uznY4ffrN25iz56rGQyGBcDn1q1nw4YN9yyc/sLPbN0gfyiKAkR6aeTFLKWVqwCCWZ2tXOtxyfeuMHiFtUvuiTA5oIv90YuMpZQFuPP7tN5kJAy/9okWv/nxFr3ETV2T7LDgtrP7im6dzDVRZeCyOntZYeoMzOVAEgugvyS+K0y+VstadWmmYheWN26VpZFvGXPLNMMphESmBUpaSIRQCKFJtILY0HIjvvu9PS4uKn7p99qVMlqLpPQeRaxlkdBJnRUj7ZbgTup8GFGyD4WtBFSV4LHqiZsS0FP1VPLCC9Wgc5Kxkin73rPvRieaWr3GvsMXf+b977vinosXL+QfgY0bN/Ls/T86aHpnj89OxUw0Qxq1CN/TuVSpaONSBaBT0cbl6kBdBJklDztnZFmaXVKuEJQFU6sxOaJkgsjBXQa5tQWNo9l31OMP72nQjZySJVh06iBsEbBbArXKnJz04lMlQL9Y9pKx+/Lrq0tSXhrqRbtaKbuZW4TVvSxziZI1HJS98XwHY1EKLIvKw0SrvL1NG4XRijhStBzDN76lz9VXBMgkCzQT0Il9rNPnxgZ1oYZAQ5gGn3F6nxiIjQ0uswDUBptUgkRduc92eB4PPhmrZiTdi8cGnVFiCGNDEBkGgaEzNPQCh71Hl45//Xf+5GDDho0FgwPs3PNupKqzdO4LLJ57hGHUZBTYbhBpiqamslypZvlMLlGKLZ3H2Dwv1NIV+ZL9fsHWmQbPtLcunmd+d34xpAB3E5475vF9PzPF84d9jCsLWZIzuCzZgkXNyfhODWtZg2vJlPF+y9L+Yavlyl+GxlkdfK22C20JqdRZAsQO48kki13+LbilKdmGWcmpsf64EIoEY/V5aLj+8ohf+aEVvvu/Cp4/kgYnsvRmSkyeIAl0IUW0MDipPneEFcSZDLFDgoo+zawEQZYkixDpVrWpGigncCrsXiKeTLpFMYwiwXxX87W3XMk33/k6ev0Rf/KhH60CXLjTKLdJP5ZEpkPdd4kiRSJM/tmqOrwEcGlscYxcC/xF+l2kMkSUwV3xxcvANoiS310GdyFTLHM7rqZnJL/6iQbP7PVJKsydaW87FSQPLEU5Q1mujaGQYtJUAV0KespStJLkKZsRXwHhZgzYZYSbcp9m5fUys5tVkkWmDC60sJIEG5hpkc16lwhkel6U1bBoHGG4cU/AP3t3nx/+ny69WIBbBnb1sU5BrgV4uUdupYvG2IAzdTxkmvXU2RxDWYDYlL5fnRSBZZk8898xZXIhtyD7EcROxPr1im2bZ+j0+/n3mgP8/Eqd6cnGkT99cP3Rs8fmdv2Dmw11T2UNHqv09XgwWQXzGuCWegz8hdYWJXCLSpCZFPe5XMkeZ+COGWjBhz/Z5GNfaBIopwC0KGctrUXnimLLvYxhxrOWL9lMnYG2EliKHNyrkf2V5Mk4e5fKU7OLIAW5hnyU8arGCNZOBsm8vFYjjLQ9kMa6KTYAVQijSbTBiw1f/+YB+086fPgTLfoR9gt7EZAbJFH2vrVAS4OTrSyiaG7JOn4kKVkmqa1nTHW1pBSIUgxozRqZs9a28m4SjhRsmA75vrfF3Pk2js5MuUemmkUclLXZ8Uv/839w5TVvODrVbK47dXp0RxSEtBsuQhRedtHsmzU3ZK+noM887XIWMtXWYky/5/eVJI8Z87qr7WcVcAs7zKcfCT70503+629OcnEpDSpLk6nygiopcYRtZPAqjQxpoFnqSso8e1kKQLOGhOrscjH2+thGAJn/nb0miuL8yp6SpQsrr5svqlkRcnxKq1nFcuXgePy1IttqcilZlpXlTOxEO+GVe0K6A8Heow5hXLqSK3osj0wwQFK5OMc86/y14vezBod8NVpjRSsu7uK/yyjD7uYBdU+wa5PhTbfsYMP6a3653zn5wbnNt65mcICploPj+Xdfua32LpU0bhiGIY5DzrB5gieTGpS+bGnfTSZFygy+JqtnbJ3/vCxfSrJEJJX7gsUTZM3wZ3c3+MAH21xYdiw1S4dx3V32vPOKwTLAyskUXsz7LnzuaoFV+RBfibC/IpubkhQpSxV4sdQ9acGVdVBEytoZg2evZY6KZXAQWqeWYcriKYyi0LBxKuE/fmeXxa7k9z/VglpWf5IuIZD2bhqQdpJtkrK0rXAEN12BJHaWSuZxq/S7TEtXcrswG6mtTdWuzVjb/q69akVJ4vguIBocOtV+Zs91zbtHo1HlO1XlJ3/80d/hPW+/6lS7oW/11Ogm342pecU+7lkPpHwRNrbzTHRRx1KpDswyl0U6vtrQYGWJkkVKvpzUscFmjFQJUiQ4Nc2Rsw4//eEJnj5QA69c3z1WbyIFbuZ7p61o2d7ulX7SPDNZbXRQKYtWmLfyvGBnkTN7upnWizC4KK8EYnUWU6T/bpZQqvSB5iXGpddKZPNijF7MGjHVn+XMmBY6acPEhKZeMzz8nMvSsiwhpaLNxi5Qa+Fpijghv3ABTImt0wtWl38vl2KlbUxK/30Rp4h8lbNbSCrCWH3qwceP/fL7v/E7Ku/JGX+T27dtBCFZuNBDmD6+l+C5xZy/8eRNmaWLL3H8cRaAVv3v4nnhnGSPbYBZeN5Wj6cJHU9z9JzDj/3KJF96smZ1hxx3TAoGz7V3xt6MgUusxdglYMkSm5T1OSUnw48wTwAAMQtJREFUpeSalJl+vH6lONlVWxCKIfgZKqrJnvLeNyb3veVYOW3xs4K98yNNAAktMMg0EVRIF21UWv9t0CPDm1454ie+r8OP/soEx8554FFib1jVP5YCO06BngCJEfnY6SxvpEwhuaTJVn1RuijLmXNRySgnOh0CmnopwhiM8NmwcYttlh+7rQL4Vde9CSlVuDdeZtS9RL1md/7NwD3OBOXXYAz0rC1Xsi+0SNenwM7cEzEmT8oAdzUn5h3+869O8LF7GoRCjSVzytJE5OAu6rzXqhQcr/UouSEldyQHcPlnY8B+0Vv5h2Pnoaw/Tfnn+X2pZDZ7XgF2Zh2mmU2dlqNmtmGe8czALlOZYgtztZA24LQdlwhhiLWh5sS872sGJBp+9JcnOHnJt85KdsslS6aniiI2LQSRsPP2E/uv4qTyo0IwFK5JAXBRsWVlJW4QyARibYi1QGvNxo0bufMfvjWM44R//2++AsCbrVn8evMHt2/ftKdz8YU3CPrItJ6hfGLWBHUK+mK5NGtcDCWApzo8Z+3cQbGgFiWA26BSc3Le4Yd/aYKPf75BKNOt18SLHbYIKhten29m9SJHJaZ4MRclPQHjTG0fZKnwv+bNjDP2WB04WTWh1dvZ3j7F82oSKAN0ZhuCQAqZp/qFkfk/LtKDFPhgiGO7K/Q3vm2Io+BHfnGSk/NeFTWZFhfGfuf5lWlXicSkm1MZ2z+k0iyyNAWoM32dfY2yhCcL+mq+wRgQscBozdxUm83bd9572Y6tP9jp9lZ9pasAXmu0CBZ+r7t+zhyckMuvC4O+CiKPOLZZsHy/+oyUxiWJSOPn0uuMSZYC2CZl+JJdmLJ3zuIpuIVKOLfk8B9/eYKP39MgzOyONZm7yt75LJZx9ig5EoKqBib7vTKQ88+8mplF5clfMdg0lbvicdlVKAeYmZE4JlM0GdaKtL1J2btsHQptY4MM5EYbdEo6aBAoslHFSRLjkPD1XzMkTuCHfmmK80uuZYoX/TASu32y9fSMljmTSyDOgsbUF1dZej6TJqYAfO4EpRdNYiAyECQQBJC4OglRB3/uN/+i+wPf9XVfGeAZOMNw+fsWht6t0fDijRO1CMfziWInTwdnv1eAucroublT/p01D10CfZG9FKIAt1Sa2BV88K4mH/tsytxiLXCXM5aUGhlKe7iX5MnqgMyMsUjJQSnJkvJyWXFVSuf8/2vvy+PsKK5zv6rq7rvf2UczGo12CQmBBEIghI2Mzeb4mYQkGNvPOE78S+yEOAbHS4wTx5gk2Nh5ENsxhCSOMTyeTWwcFtsYYRvEYhaxb0JC20ho14xm7sxdu7sqf1RVd1XfO2LEJnBe/X537u3l9tzu/ur0d75z6tRU8W1ychPMSFhyuYFEG2yLrsbemMqKUaU24uCIQa25t1BRTyKEyi2RdIdwJkGvQjYOON53VhUbtzm44rtFBADiypwtwB191icjLxAXUiPXQzxNfi1DUOa62MIDstM2BEEtEEjRGuZ2lDF95rRnDpbGLuwotrW8vi0B7nVegKuvvzb0g5PF3fffg89/YBhHDTKEgmoXWd1onWucALjRUSxw69Cw6Xxq621kDBINcAVuOAR3/TqNm+7Kok51DYtWVluBHsSIWE7OvS3e10RDbECbwDX5eBOcE8g+FNCbgjy2j2lnFVo83Jj9Vwh7HxGPm5RgFrEV54burIGtgM5VdFPSFaocNhbdV8EFPAi8/8wqHn3BxZoHs7K/UfMMWHxWQtEW/U5InCoo5EUUyiKHBuBN2kcVF2dqmQugLgAecMyfNYovXVDGwKyVgpDxcOWqC6YOcAA4+50fhN9oYOzALnQUH0LI5Q+jEEBCEQFMahKfcAwEYXQIYdCamJpIQHPFu0MQyAmliAP85P40PvfNItZv86RiQg7NuyltBrfOFIxH6wgjYzDhXFogJgnwk/g8mxSVyTrAFBBurjacy0gDB2w+bnLxaJJeza2hOLWmJcJSU1rRFAgBwmlsoKjk5Dxa74CKEMfM83HlxSV8lgE/uz8r0ccMQBOGKNwIhjj0qXpDMq0wug72gAnNBU09PPKLKMFoKYVKMFA+/vizbvJSmUkvMZtsw9e+ejlyaeqnnP2nob45nXK8KKmeMmFUjjLztOOKU1FAyAjFk8hCi0QClZFQpQDOHAHiALfdl8El3y7i+a2e0rrN8Lu5rFJhleYtq8Mmh6MZo5Ki0TnNkUt7hA2xRt0QSowOQaJ3LXXpsYDxdnva80j20sdI6NzxcSJXIlqm1rKIfqvlDFOTMh6CSiWUouS79VljjsiO09MVYtnCADv2Umzc6kQO9iF6anMUS6jkAxmpan4Z0S791GEESFMJg2KaYvXKlXv27Bv98MIFJ/uT4XhSC55OETz85JbvO5klX9q7/dG2jHMA6ZQPShugRA7ulUEXHl3QJi5pHC/2u7RsGFtuebPC2JIrq3Db/Rl84dtFPLdZgVtbhUl4N2grWTDB80grANjWt1nrju+zuU8SEICRTzhVR9OMXCaumfm01++ShnAjdzw29JZ0SCQ0ohwVxDJhXFhfaeFWgpa0rpqmEBJTIK7yV2gjxDFzfFz+5yUIAfz0/gwAGtMVIRLyofIck1dTTHZB9EVU95s6EFQW7s8ygRzjOG5OEaeuWIyeruIhL69zqI1zBvrr5bHxP83UZv2wWhvNpbxARSNlMR2H+aCEI5YQzQhU4iSi+23TmpiaqHcGCEZwx6/TuORbRTy/TVvuWGMFTL4dqyZEOZQOlFOJZu5NEmA35UDLgUyCvcmJtJJjjS+bV3ByrpKUuuWCRqrtRMYA1maEJAAdZxkiAXSuCsxzi7KQWGkx+DmnMhikbCsIVZWGKUAElx1C/9ZGiGPn+LjiL0rgArjjgQwUh5Xny/V5K2dTjysTpmUQhlU0e7MJGgYIF0AKnDogADIOx2DfQHl4zPvTOXNn1l8xwLOpA7wwfda6tsLq0p6NT+b0JE4ptwHHrYGTECGRp+xSebAwlAn1McDNiqCKp1vOpuFYUgLOCO58KI3PfqOI9VuT4J7EqVSIZLBlwWR9k6ZiRRGQRZPlhubbhiG26p8YVjuJ7VYYbwXuVutFYrtIrGzKETf2i7m40sG5BHekrnCZKxJZbIHY0aSmpB1HQ6Gim9FIJY4YmI0QS2b7+PonpSW/68E0QsC23hrtqnqWdWGSY/VUHWUHHB5THZ1Q+NxDIICQUtQ5QUA9nPO/TivNmT24btO2AxyHaIcGeK4XhHoH/HLtvM5px99TH7vbTbs+Jup1/Gyti9seKKJSp2CU45y3VfE7b6+irysACeQsYEI5EkI9ouLTi4M70FRFgftX61L4yyuL2LDdkxWoolh5UimxI5ZaNWFA0xjLSYtmorVy0kRPTEpi4DaJ89YIf/lmRjKTYJfmwKAaMTW1SkkIYjqiZpQzlg45hE1Ron0kmFn0WcmGgkLwEIJS8ChNVjmfKuTPGwJHz/Jx1adK+ERAcM+6lAQ5MemJlgsTF8gEOA9BwxB93T5+Z3UV55xSByMClTrFLQ9k8ZMHA4zUGKqC4bSzTvQnauF5XZ1tB3L53CGv7SEBTlkKpZGtoOnFO92cvwX1R48a2jeKv/luO376UAcEV2I+9/GrdTl8/64qrrr4II5f0DBAThNPajtkL59CFJwCdz2cxsX/p4iNQ54aUdIK3KblVtREgdohZvEeey75CPBJUBuANoM8kfW2aIkN9iSYif6eFhFgU5lWwI4+kMR6Ax+tAX8IZcWiMDroo4pWWqA2+HdksWMOHmuRiAFP1LSBetpuHgK+wMKZPv75M2O46MoifvlwGiHVF1IN4pSIiq2B5XRykJDj+IU1XHXRKE48OoBDHPDQgRAUZ59Yxjmr6vjCvwINPgvvOnnhllOWztz5/IYhLFk0+5AAZ3iZdsnnPw1SXTPWlmdPbd3L/+gL1+7Hzx8dgOPlQVMpCMeT88MIYPtOgpFRgjNX1pFL84gz2mmyhrxICYgnud8v16Vx0T8WsXG7K4ebUe1gaDA7CtDxAAYtKziRYiIUyE3FJFYbmPGerHdu53kDTYXqKQwFxEgWSqyLanQY2YRJRSX5JDETupJKSlMiGJ0knVd/nxLjeqPpM5J0bJLObndoEXX26GkF0xgAhANdnRwnLgnwwjaGbS85Etc07ppxJzYdUAEEHJ1FyeffvdJH6KdQrWVRqWVRrmXR8DNYOCjQ21FC36yT0SD9v3fvE5ueXr6wD9/65lWv3IIDQLFjJkZL40Ahv/uRocJ9zwwNnzqjWEfWE2iEBKUGwwhJw4cAagEODjuoNAi6GAEJVPqlQExRYpkB1AO2DzM8+KSHS/+lgI1DCtymIwn9Iqo/GlZcBwKUY2kOQ4sACP0umgBDD3Wz45/ZFPiBeaObeIrRDoeqiNb7N8UKTToSvUw1RRhcPJG30kRbjJH4psICk8aoIp8CKu9cjvWUqgwFhVBA5iCBwKJZAb75mRK+9C8CDz+ZwvZhJhO0BIDIRdUXTHNvgawn0Nklg/kN30O1nkGlmkW17iEIGRj1ceYK4P0z596Xaj9lNw8nwJzCy15W+rJ7AGgvFvCTX6zbNKe/85t/cs5SzOvyMdjJ0V8M0ZvlKLgERDDAB7xMqByEyGOJUmVB4vgsTRFs3Onism8X8Mkr2rBhyIVwtSk6BDXRydQKdRRaNRFxIEdba4iWwLWoCGwAR8lUCXqiqZC9yq72ZMUtpoJ0cYjVpoqil00JWUA68Aqk1nbENAQGx7amB08MbbPWKTVMp2XEc3VSA/Dxi4NGTqxocBw1M8C3PlfCFz9RwoIBXw7BjzRu5Q1HGriMcjYCinqVgLgCQjDUGimMlbPYfzCPl/YWsHGogH3V01FtTP/mvpce2jQVcANTsOC6rVgyiLZiYV0a5VuccPjcFzdtw3gFEIJj97hAljZwxuklfPCsCXTkQogAhv4pLC+NpoBNOx1cdk0BN9+VRi1UkRkT3GjxIgSmRadAi5HxZoZabL2bsgPRLBuiaZ9DfzbhS1p8nmqztQRpeg1FUOna2sQbc1TGxVQi8GqgS4cyVkZspxKGFVc8XWUbyqlMFMhpnMtiJmzJTkCVvk5VZ1Q+FQcQCEzrCnHBe6pIucCXv53H5p2OyidXDop2MIlUBg5OOLjutgLqtTJOW+qDEYLSeAq7D2Sw/yBBz7QF8PLH3pIqLloXlsenfG2nDPD+6f3Ys2fX0KpVKy/as3MDy7Lhc0ZLE6j5wAxRw2nL9uOT55cwvSMABUMY6kQqYplJ6hBsfonh0msKuPkXadSEAe4IHtRAU9JyG9bb5NuIuWarHO9J801gf9Z6ukaruY+5som2mJvJ4ULclgNjx1IlWrWw3hZN0Q4jjHWcyGnAYTqgwqArxF42AKylRPk9GqcAgETL2sKDAEwBXXZCLlWWOpByBM47owYI4NJr8tiy01F0RT3JNfVkBL6g+K/72vHIc0Vc+L4yTjmaYLjk4YmNBCF3Uegq3L54yQkX7dq9Z/vA9P4pX9cpURTd+vqmY8+OB7efsmrJs2edSpEvDKOYI/jEORx//J4UOnN5BEEGvu9FqbUAIkRRj2DbXoYvXV3Aj9YocJv1qQ1ubXHtJi5ugBvNiokJPm3NW1rgKYAeiePF6+Mdkhbd/M7LmfNk9NcCvNqWUIujpKvIchvfsdJqjYh3UhK0RwHpokIyutmKh0MXFBIxVbHoD8x9AQgOEQAZwnH+WTVceuEEZvUFQAOKqkRXSooGjguf5bG91IOrb52Jq3/cg7Eyxb6JEWyfaMOshcue/dkv1x0WuIHDsOAxyLtBvJlXPPD0M3Mf3VR/fy7VQNopol4HxkpAPgukPDVgAWGEmIYgePxJF9f8KIsf3pVGA4ooa2Cb3pqlxSWtuUSOzvFpmSXYipJYHUC0BjFBIgCkgRuvSH7P+kSa8XwofCf9SlP6i+Ig2poLPaRNO5SxVAgLwLFTH3FxEncKG9jaqiMCpg7dm9mLWhcnJk0hcVmKmK7I+6U/AQI8IPAYx/vPrAEcuPpHGTyx3kNd99DIkruAk0Ix7aDIBHiNYrxMcP7p7eC5npu6B467ojK+43DhengWHABoaiG+8X/XjI3w+R+d3lG8v787BcaAIFSPLA0gLS1RoMoJrrs9g3M/046b1qTRIMQAd9IMap5NEmYwtt7aUUzWE2wpn2GSvBNiKyqKgdpkGmiy7CZybYpikPiW0LaXWxb9MRYsq52MWBrWO3JGQRIA1tSlhfW29jedTURWebKX7HmSqkDr2er8YlgbWYEQECHgCplqe9s/juEj51SRo8pBEPEwZUBFo6lAEIY4MOqgVp92/5lv7/loF34wtmrpzMMG+GFbcAC4+MO/jeeefaZyyuxzGs88dit6i7vQlq+imKsil6nBcX2ZPOUITAQE37s1i7+5No/RcTUrbLMegaivWYkfSauOmHtDcm8NdlMONJejUelRHxLNVCT5LyxH0i62afW7FmdiQXkqVFxba+OzXh/xcmIsm/w8If3J4yhHNDHwQcuIMq6irXpcEYsYHYIYVtreJ7meQBAacXqiLo6cspvEJ0CgyroBPW0hvnLhOBgVuP7WHMo+AVgIwAfCOsYFxQGXID0SYqAvg6OOfXdjyxCtHL3k2FcC1VcGcACYM3cOhOCPpMniVSivz+TSB7Flt486D5DNCMzsBUaqLm5bm8ZXvlPAaElREpOYJuPfTaA3rXxkY61wPDNAHdGMCKTNAxqSfSgGOmkCd5JbW5TF+Pn2thZnMkWf04pOJoFMjH1EvM4KCDZJhSZoETunGvggmFRVaQVoi5dDTmsi5AnGTxg9/zyBjH1ooMv/z7lAZ57j7z4+jrQL/GRtGiMVhsHeOrLpMipBBi/uyYOyDOYvXladMTj7EUoPm2i8eoBns3mIcPyvB+aeKn7283Wfeuzpg+lbH+rBgRFgWrGM886YwOPrPdzxUAp131HOZPJ2Gh+bQGCi0qAnpFkObE1HRGvAk5jikJadwgStOdjBHmiMBPAtYEesqzXiRYvzFYalhgVmYzmy1LaTafFtIVS5vZhDaxoTSYZEyX9E2FQFmuPbJeAih1IpM9EJKZAnHjwRUbFWiPhRxTnQmQtx+YUlvH15A4+td3D+6TV05Rn2DHv48X3DKHasqP3ee0/9J07cv2kvZt94gAMAYQX+sb/78aXjpWP89c9nPr93/7BXrQeYN62Kge4Qa8Yo6jUXSLH47pnpkJFcZFwQ6643EerYemuQJihJUttu0rGN9UAC1MYDJWJS0OuE8SXb6ttQnqK5nvys7Y3EtuoSqGrKviTFICZl4bGDqakuNay3ydWJAWgSKzNNHJxo/p2w4DqHhcj5NS21SfUoeTxqnVA6zdHdFmLn/jTGqy5mdBbRXcjiry5obxS6O79GvR//A8l+/JDZgi/XXhXAAaAvzxtz+/u/2p+rNfZsr11WyI3T332nwNmnNPCLx7LA07rClCJiPAAQGn6FBrkBfBMrBg+IIpUwXqRZGrTyMGADHUlwJ6kKWncKk4snOXnTzzXXHwLvKogHIVSHikBscGrDSpsZqLFakpABiU03LFoCWMA2FRRBEM3KIDVxEaV0m1q65WwmPZBoELmqTUX194WSHyk4d6Knh+MH2L6L4Xu3d2L7Xg+/fVIag9M6+NGLBy+b295/5ehwufFq8fmqAX7Zp87DmjVrqmzuolsmRgtf9kv34bh5Hh5fn8GLOzKAmwUcVYeX+xLkfggKDtfj8H2lvuikHOv5n7yA2rqKJjnP4uFo9d6cixL/l+S4S7W2VQeJfAZiGvTEzzx8e64tdNTXCayne5xrEoM/2UlMpzR2QuM8FV2QyubcckWkgxsKDIikJSDKeptKiXHcpqcQkeDmhMD3CVxPpmuIBkUQOgi5o5xSH/NnhFi6CHhiQxtSXOCj5x8vamTGLeuer1VPXf37rxaehy8Ttmpz58zEzFnLXjz2mPkXnrBiGeeihp88mMILO9vhpvNIp9JwnAxAPBAAM6b5+MyHSvjVtw7gko+U0JkOZAl/K4Uo6d3ZFjzStROgTY7SmcwiN+nekziXzbw8sV39aeqXU4V4QhY0c1CsII/pPALGjA/xe7yfAW7zu8b3I16N2Cpbx5008SoGd5MBgjQklAEjDYp/uL6Ad32yG1//fwW8tE+S95C7qNUyKFdzKJULmNfv4uyTx8GdBo49/kQ+bfqcC5ces+TFru6B1wKar96CA8D8BYswMbq+MZJZ8Z3Bxt3Z59cXrlr7eB0ICxgsAoxwlBoUe30Hx8xp4IpPDGP10jpyDrB0vg/BgW/9ZwHjDT0i20COcQEZSdIUEfFwy9FMgt2QE5utO2miLya49QeTc1vgtp4D9rapqCcacBQJK67W67G80USsCRfGpB6Rc6nBrTk5gUFLEPF1Dsi8E5bg5IrTNEc6EYE+cjKjM1c6C+UYr1Nc8595fP36IiZqDE+tz2Ltw2lcfuEE5vYzTFRzqNZlae7eDgenLhnDo5s9DI3g06vfftJ3HnliY7hy+eI3D8ABIN++GIK/GMK7YDMKc8dzhfsKg20BBjrl7Rqe4Cim6vjMB8dw+vECYS2DesCRdX18/g8nsGGHi1vuceVoEN0MkOv6GGyyHBO0Am9rHh7RmiQDMp3HSSw6iP3TbCc1QcibP8bANnxWGMC26UhMAUjL9QqIJqiFsKx2swOaCAZpzTyiOcm0WkTWOh6hFTuiMcjljxRU4M6H0vjadUVMBCkg5aACB3c+lkXXDxj++g8EyuU8hsfSAIBqzUEu04G/+NAZ4/PmvWPzo8/tDFcuP+q1guVrB3B5Jwu4Z513+/xZZ/35ee9u+6f71v6qUwRlpDwHhPpYdvQYls3MonQwCyCA5zTABUEmVccf/FYFa9ZlMV4zf1KMIMuhhBG4sVJiY5kwzhAUseoBG+QAaQK+CWBt4ZvpCbGOmURwk+WeChFPSoeGY2kmVkXSnIits5b+Ii2cmNTEAHYkCSIy+7JYJ0AsqTGOdmrenRyRr0/MjF4SCFTKFNffkUXZdwHPA1gGlHlgHsGDmzO4/MYKTpiTAxEeCAkx3teBlaveNjIw98SLKRm9ffOO4hQu1tTbawpwQuTMVmNjYzec995TnNnT2BUbnru/J+OOwOcMgz298Bs+9g7XkM/WwFMUhAq4YYDj5stZ3cZrGklmfgqapMCko2mpKQnQJqfJOKR8qJ3HQ+wbYdboFa0CQ2ixbGFa2NtbLUcZx4pmcCKiimkxLYlBbnFuJCy27jBJK04MKw6dKWgoLBb/ttfBADwBUG0QPPmiHOUFmgJzUii6FF1pgZxIYedLHng1RMNvYN7Mdhx30mn7pw2e/FfVSnBDPj/7NQU38Bo5mcnW1tYGSvh3V65ceckZq6fvn963D49truHR9Tns2JvD2EQWlVoajcBDEGqPWl8i42VYSgluYWnfraTBKOfQAHdLgJJm5STZKWxLbagmZgewcR4D+zD0cFMgjUCpjmICNc79Nq0xab2cyAKMKAsQZQWagG2dYWgPjBCC2vkmhhMaWXPt8KoZpVOMojMl0J3lmN0FLF/AcOzCMnaOjSPVMXf/8hNOvKRa87+bz09tAMPhttcF4ACQyRbg1W/8zvS+8HP3vzhz5OkXCEZLwNiEi0rNQcOPq9WCAEN7HQRhIjXWGJamU2NNZ9EK7qAVWIUFvsj5pDik9bacTuO4gOFowt5H/Qsb2lNxMi3QxkiPua+93QI8Yp4teNJyq9LKQBNQEYG9lWVGy2W0sN56pI8cMCHLhbgOMLsvUOUICTwKpB2BXAoo5gjaCi6WzXPxZ+d3jFRJ5nOXXnPnd9rbXltaYrbXloMnGm3/GD7yVzdd79FjG6uP3/kvvL634IcUIacKCAIOCyEox41r8iiXXYAZZdkgq8RKcIsWYDbGXmpgTgpewLLGmHy/COzJ75pgJk1wVsvJD1Nrkb+pnUoYgDYdUM2/FWUhynnkBNZgBtlZhHUwy4EFiarJxnVUtApjS4HCfCWsO1WWnQsJ8FwmwIfOqODhZ/IIQi5H6gNqqhGCWl3Ax6Lxc0/L/MUFueEf0M4/ez0h+PoCHADecwLlrlu4qVqeEZRK3vcQbE+7jMN1AmRSDaS9Gq77aRq3rM3DJx7iGdJoBCrbUtvz51B9C0iSh08ezWy9nlhAhrVPLBMicQwY34/AGln5qaE8Uv4N7TvGZayMKNGkyZJL8BNbKYn4uN0hYqCLyJG0ZcXEiB9VpHMybVwWDhIghCEgAp7gOPcddTy+qYR//1kGdcdDNSAIQoFGEKB/+pwaTfX/8ZObizfXarVXFYafSnvdKIpu7z//fSDCD+H23jw40HvB7FnTa/lMGR2FCQgyge/e4eAr13Vhz3gecFIA9STAIWclNjMHbXpiaNst+PDk+SikGfCwwWqrK8pSWx0itt4mhCevR9ga6BbVSCwn10UKihXcSch1CQ7O+aHohzwO5828fTLHEvq3cON/CIJQUIScIQgdNHwPnQUHl3xkHH/8nn1wWQnDFYF9pRB902fW2tq7L1gwt//m0ng1POvdv/t6w+9wH6SvvD183w9x3V3nkUs+8O/nVcsvXPfw089kr1uTwcPrC6gEaQjmIqr5rbgEJXK4pkcEPCoLXTlEyDJxrHmmNF05Vjujybomch8Sr9NWn8aTjjKr/gmiarL6e0R9jqw+SdREMdab22H8L6sTUrujmbNMmL6Crt9CovMxnmTRFOlmHRg1gx0Rxv5GrRhzljtdr8aaq1REVX/l/KiykjBLzn6XnA5SbXOcAH7g46EXGK79aQey2ZOxaNbsD//tX3bd+O/X7Rd/8kcfeENw94YBHAAODl2LjlnP4p+/N/+Da+4+cM3dj420VdRg4ggIMKpnEFngyiMimqFYTuIaT+DqqBvKmF2yLSrsY4CZJcFNYYOXyjlkYnCZE7+SeGo/C9TxfiQBdP0kOBTAW6UMJEsqE2IMydPbkgWL1LTjErAxwOW1MacqF3GpaF3mmtoT+MbgVmWu1Qx7DjVBHsppI1VtSk2n5H1TZfnA4TgCJX/6AdH25wfbu5Z9NAwa9/d2pt4wzL3uHNxsHbM+ji9c+c8YHV34/RXLy+5RCypX3vnA+q5tu0eR9uRkpKEAGpygIbQCgCjZX9OSqDY2mSL3xiQ5J5a1bZEjbtAaaMfT4N52aD9JW2Igx1tlS+rdQCwTameyaR1iji2PEed726qKsb7FPlEueNOoH71vzL31+MzkXD/6PKH2BwhCLsUDvZ2SBgTrh5c+YTifyX4aLx53fXaGIGHg4Y1sbyjAAeDyv/wEAODAgdHr057j9Pd3ffW6H67tKY+WwByGWggIH6gLOb2FAMA4ieaDSeaZmFYtBn5rh9L8fhLopsxiSobRZEgkBqU1yxpplhat9jLPSCuAaUQkid5GDI1cxPMlxFxcRKBlFpj1NhWppGbt8AToBVFlkklcWRaISkfEaonpSMc1JjmX+/iBA993wLlAJteG3oEz93ttv/V5IfzrM3MBtKyS//q2NxzgunV3t2N4tPwff/j7q0lXjn7l3nt/3vP4+jKE8FAChR/K4U2cARQEnkgCu0VNQaCl9Sbqj5lPYionTRa+xUt/P0lN9AG1amIYc+OfxUumBAjEXr7O7Y6ilub66LvKapIY7DoPltJ42kpOtIVOKCqRYmIC3Q4mcS2eU6iJY3lcQzyiIEJSFCZpCucUYeig0XBwcJxiT6kbq1aevr/Qe+olAP8PQtuPFMyOHMABoKs9h0q58p3ff8/KYOl8/6prb3i4Y2ziAH78aAjGA7giRN1PwXdlEpZQF9eaepvYHNQCJRBr36Zj19LCE4uSEGrLgpEFb6I2pMlytyz9plsi50QDWO8rEjZODzqg6jMlrWTD2FpHAOaAoGqZK4us8k3MiWT1/4ysOVezoNlnA06J8VsFGA2R9hoQIpA3AgHufrwNPV0DKEw/9WBb78mfrdec76Wz6SMJsSMLcADI5rIQonrDwkWrRt656uA8xxv82kMbH3bffdIo6n4N3/9VJ6pBEYI5kQYeKSeGapDk0fJGaKveShpsHaqP5ttJSIWHfo/3hwX2l1HCTWttEm5zObEoOORMDEowt6REA+wcMd2whrIRnW8SW3HN8fVM2ET9n7hwE0BCgFGq/AcBzw0B1HDTWg/jE1mcfhxBqn2lTzKFz514/IrNnLk/TWffOGdysnbEAQ4AhGR4Zezp288//x3eo4+9VPnyxzNXH923lry0fzu9e10VW0fyECkJaFe/mAJ6C54tjwmbLjQ5jmaHIJOCXlMSDVaK1uBGhIUWRTqRWGG0KMBD7JWai5v7mZ1BFXQFjziOAjQxaIkw87+JmvHBSAPQ1CWKiEq/hyiKw4mqCa58AkZpVPvG8wLsHhX4r/vaMV6ayY9dvFQsWbzwE3vrR123ftOexttXLDrSsALwJgE4AGTblmLbphcbfd2DNxRcdk+a7n3fr55J/X25ugcEAQhcWQecCbiOfHd0mRXVzMi0bkl60gRO/aL2dnuudL1PQgY0Lbdx/OgfAziUCTd/a5MVT5D1CNDK7+BqIzX5s9JXCVVgpgQ0GpRsgD9KmIovmDn0TR5HzpsZcgFHcRZKGdxQTVUuQng0wG+v7sFz2xf8rZtZ/MOujuk7vPJwY9GiNwe45Vm8idrs+QswOHtGtVJ/duOsY7q+Wg5WXPbpjywKVy6pgQkfaUcg4wJpVyDlAp4DBXYD6EakTi0CMECOZuttF7U36Qwx9iHW/tLpNFJr1TLwssJJ65ZIsop4tIgtMTc+R0lWLZKjOJ/sO3Z0MhKOSDynKQBwTuAHBHWfod5gqPsMtYaDWoOh0XAQhhxPbMngkS3vCn/rbcsu+48HFn11654NGwcGZ1QXLVpwpGFktZed4eFItGv/7Vakuy8QX/zU/77nZ7femEqnnZN27ZpwMqgj5XKkXALPJUg5BK4j56AUQg7r5IYV10ETRowAj565gSajmiR6N6OVcRBIz3dpAj8Gfywhxn8M5dFwdm0H1NonWhE3kfxg7NuUamAeH8Z74v/G18KM+Gr6QhCEDA2fwQ9opG9zQRCEABcO3FQ7qu676gPz/uDrR/1y9Rc/evHZ4rTTPnSkYdOyvSJj80Y1Ifbh/qfaMWNa7SubX9y86uabb6eVanXVgeERJ51ykHYZKAN8X2C8wlGuA74a8+YwadkdlcXmMLlOA5yp8LwZgWRRtFKH780wfTzBa1NiVssLazhoxntLgGPy41gqkHqxZCSWxUAlygmPgRyH5xmTUUqHCbiOgMM4XMbhOBwOk2Q9CBgmqg5KZRf1BgGj0qFkJECu0BF4XvrB4086i3f2zXmQkuCSF4YyWDz79Ut3fbXtTQ1ws934g9vgeW5hbGz8Xzdu2nb+gf17qUN9ZDMuglDg+e0B9o4KuFTAZYDnCKQ0hXGIBDsjYAr0cf6JPd8OMaw5oxrUBMycvVhLiGZrEX3UH6YC8KR6koyImDEAQm2QyzQFYXTORJRXq05MglsCnMNzOFw3RMrlcN0AniPD83tG0nh+Sx4Nn8BzQ/R0eujr6+Ed3bP+00vlP8bDYPy4E99zpCExpfaWATgAvLBxCzKZdPeOHbsueuzxJ47xaPlcv7wF7UWCZ3ZUcPMDBPVqGp0ZgZwnDK5O4LmxJWctwG3SDmnlSdQJKKWK1pAmgALGgAAY7+YFtqgEsahFk3pivJuaeJJeaJoVyaVMWNt1/kps9ZX1dgCXcXguR8rjSHkh0l6AbNpHIVtFxa/i5rWdeO6FPDIexyknLsDcmW23LD562bMdXf3f8Bu1A509s480FKbc3jQqylTaooVzAeDArp07v3jUwgWzDu7fgLHhtnN37XgOv3dKCXvGfNzywHTkXIq0EwcyNM1gCtyMxQ5jZFmB2FmMPhtOaAT4WGExJbtYW1YrtSXWx4scA+OEEtKmVYGKx+F03SiRwRsgpi1maJ6oGL8+b65GSpj7kVCoYJE6DpEJVZ4TIJep4I7HffzgFxTL56ex7LglOPqYo2454fjFF4+NTQwV2vqONAQOu72lAK7b9IEBhI0DQ92dCz+7cwducLILL+rNPL66r+sxCD+AgBtrwFCjSSjgMgKH0Yi7As1UAIAdlVTcm2mrzmABXKjQNucEhIsmywuhxpsTG9+mfBnvK5e5kAU0eQRyeQxOtCqgwEnNvJTE+eiwu2qU6HkwZQZgyGUeuX5qCQBh6CMUnTjj1FPw4fcuujekmW/Mnjnn6eExf2jWjNemEM8b3d6SAAcA5nUDwKYgEJv6ZuDZyoFS/8mrll07EWyav+6Rp5jf8OGpKJDDpOriuRQOIyp9VQ314iIGgpG5CMQqjAa4wyTfpbrmnkCUEBZLeyLK4NN0RAPUPG7SeYzC4IrucC4QhnKueKHMP6Xx4AZC1DhMU+g1OpGAkgnV4AQQgIUCXE0Z4zoS1ZTImTjqfho0f3b4vnMWbfrpr72Pr1y5ajeAja9kvqE3U3tr/3qjPbtlDEEQztq5Y+tA2nN+dN2P1haHhl7KuXwC/Z0M+SyD6xAwRmNZMeTwAxnMkOMRETmXjEoQOA6D58rPngM4ejQdkTkeAQcavnz5PkfAJSgJYA2WMKmOJdUZ6gjnQBACjUDA9zkaPkcY8ojdUErgOBSOQ+E5VMYBXOlIS3Uk7nxcyFk3/EAeU4iYr7uOQCHH0ddVQV8PQ3tXf7m97+wShH9ee+/gTkLYECHTjvQtfU3aW9aCJ9sxc9sgBB9atmD5joOjE0smGuJkCP5v2zZtDMb2be2s1cYKvh+CEgHPo+CcoFoD/CBU1hLSyqkSFpTKiJ8GvaPA5DnSUZMABxqBtJJ1XyDgAkHAo6gghQR5q/zvyGk0BmZEs2cHkGMYfQ7fOJ7DSBSg4ZSoaKZskZpCZecKOAFCKZtWqvJ3pTzZQaoNhkJb9/iMuYMjc+bMciglf+Lm5j/keoUxLsDpW9xqm+03BuAAQOQE8fypF3cdnD93+p0HR0oLP/D3N9U3/vrKzzz/3GMffua5LT54fVF73k+PjE5gbEIm+zd8gSBENHs4IQBToy20quIyIOUKpFMCnivgUDlivN6gCDkwXgbq9RB+wCNZUXYEEpfvJzHYNf9lqvM4SgVhvrS6fsBRqYWo+yKyvq4jv08pgcsln9K6uNT5BVwmwBjQ8DnqDQpGBA6WfBCWRi6fqXV15F7o6J7pnrxyxQ0vPfnpf/QW/X3KTRVrgo9wQt68evYrbb9RANdt2YLpgBQ3Knt27wBjztcYo19beuxi1lbMXZ1LjS98+oXNbx86cJD1tNXwwlAN4+M+cmkGpBgoBUJBEKqUUkrkYz2d4shnODKpUAY/KNDwGQQc7NzHMTwWABBwHYKUS0EoVfIdkZFQ9fs0HQIkOD1XIO1xeI4k4kEADFVC7BsV8AOZUOa6QMYDCDiYQ5ASVCVAxWMsPUfAcwOk3ACuS7B7OI3ZA2mk2/rDQvvc+6f35Dc26pULq7VG6HlpzFz+DZEqzKwc6fv1erbfSICbra9/EIjFhaBcHv5YJu11FHuOu7zauNuDPxRW0bm8ViUn7Ny1D5VaBQSyxgcEg+dKy+o6QDbNUcz5KOYa6CjUAVJHqeKiq83F3tEQDzyfRsFj6MjLyKLnqsoAjMJhMrckCAW48voEk0GjlCOQz3B0FhvIZip4bjuwfkcaggQYrTBAOOjOc7Rl1HE91fFoHLgJggDcCdFW8JDO9aHu+481djQe7+iZz84++bSGl+38Qhg0DnZ1dB7pW/KGtt94gCdbLtcFAAcB/BkA3H33WsxfiNVj5eCsnXtK5zmoHlWv17DuiQ0QCNFoBGg0QlAIZFMBejrqGOgtYcuuKu5+msEBcMZyByuWTOCOxwW27yvAcwTSauihQwlSLpD2AD8AKiXJq1MehcOk6Oc4ArlMgBm949h5cAwPbSjCDynOOKkCzuq456k8tuwoYKCLgyCEw0JkUwKMpVDMu2gvEuQ7jkUum0JPp7OhFrb9KBTZNb87U9y7/IS3HelLfkTb/ziAJ9s73/kOALh33/6RewHcJ3gwb8++g/yJ517i8+Z0z5k12Pv5sYO7Mb2Hoju/BfX6DjyztYQb707jnkd7ceLcFDqzHlYsbuCUY8bx/V+kUK576NBc2SXIpoHejgD1oIENOwT8OkV3O4PrSGeXEoFcOoDjTGDtswQHRrI4aZ6D5XOLOG7RXszoGsIPftmB0XIBIZuGxYv60FGgWLhgEMI/8NUU3bt14dKVNJProp5HNwO4M5v7n2WpJ2v/4wGuW29PJwDcqZf37t2PlOe1796758Etm110tVF/wayBT+3Yf+KZ27ZyLDnWwcT48+grVFFtuAhFB961PMTapwKMlQhmdFIwSkEJgcs4etsrKAej2DacBq9kkPaopBeUopDhSLk17C0BT2zqRnchh2ldLsZrOYzX2/H+c+fgHe9y8OJQEbv35e6alq9cVchSd8HCxejt7bu30WiMtnd0H+lL+KZs/x/gk7Rp03oAYBTAbQDA69tBCF4oiWBaZ9nhvX0h9m7dDof7oMyFQAozewL/3atXX1qfqL23rz30u9s9MEaQz3AMTK+iEoxjxXFphLU0Zk+jyKQZHAZ0twHFnsAtFMlPtu16+tJZHZ7rpRyEgqEa5NEzfRX6Z1LMmpGiO/dn9xKCrccufOuFzY9E+80RPN8E7fu3PgAA00b272lrywaiq00S8XSKY7C3hlpQxs8fSSGopzCjm8LzZBiyowAM9oH09XWOCSH2dvSffqRP5Tem/TenKelOXf6oXwAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QyMDoyNzo1NCswMDowMKSRafsAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMjA6Mjc6NTQrMDA6MDDVzNFHAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 176132000
{'hecke_orbit_code': 27021597797780600, 'n': 1, 'trace_an': 1}
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id: 176132001
{'hecke_orbit_code': 27021597797780600, 'n': 2, 'trace_an': 0}
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id: 176132002
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{'hecke_orbit_code': 27021597797780600, 'n': 990, 'trace_an': 0}
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id: 176132990
{'hecke_orbit_code': 27021597797780600, 'n': 991, 'trace_an': -18}
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id: 176132991
{'hecke_orbit_code': 27021597797780600, 'n': 992, 'trace_an': 0}
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id: 176132992
{'hecke_orbit_code': 27021597797780600, 'n': 993, 'trace_an': -10}
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id: 176132993
{'hecke_orbit_code': 27021597797780600, 'n': 994, 'trace_an': 0}
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id: 176132994
{'hecke_orbit_code': 27021597797780600, 'n': 995, 'trace_an': 0}
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id: 176132995
{'hecke_orbit_code': 27021597797780600, 'n': 996, 'trace_an': 0}
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id: 176132996
{'hecke_orbit_code': 27021597797780600, 'n': 997, 'trace_an': -6}
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id: 176132997
{'hecke_orbit_code': 27021597797780600, 'n': 998, 'trace_an': 0}
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id: 176132998
{'hecke_orbit_code': 27021597797780600, 'n': 999, 'trace_an': -2}
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id: 176132999
{'hecke_orbit_code': 27021597797780600, 'n': 1000, 'trace_an': 0}