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{'Nk2': 14784, 'analytic_conductor': 29.51270858706523, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, -1], [11, 1]], 'atkin_lehner_string': '-+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3696, 1, [463, 2773, 2465, 1585, 673], [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, [-2, 1]], [13, [2, 1]], [17, [2, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562004080, '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': False, 'label': '3696.2.a.m', 'level': 3696, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '462.2.a.g', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+2q^{5}+q^{7}+q^{9}-q^{11}-2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/3696/m'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3696.2.a', 'trace_display': [0, -1, 2, 1], 'trace_hash': 1412662995032285555, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [2], [0], [1], [0], [1], [0], [-1], [0], [-2], [0], [-2], [0], [-2], [0], [0], [0], [-1], [0], [0], [0], [-1], [0], [-1], [0], [-2], [0], [-4], [0], [1], [0], [2], [0], [-2], [0], [2], [0], [-10], [0], [-4], [0], [2], [0], [-4], [0], [1], [0], [2], [0], [-2], [0], [-2], [0], [0], [0], [12], [0], [-2], [0], [1], [0], [-4], [0], [-12], [0], [0], [0], [-8], [0], [6], [0], [1], [0], [-1], [0], [8], [0], [1], [0], [8], [0], [-4], [0], [2], [0], [-14], [0], [-2], [0], [4], [0], [0], [0], [-14], [0], [-1], [0]], 'ap': [[0], [-1], [2], [1], [-1], [-2], [-2], [0], [0], [-2], [-4], [-2], [-10], [-4], [-4], [-2], [12], [-2], [-12], [-8], [6], [8], [8], [-14], [-14], [-10], [-4], [12], [14], [18], [-8], [0], [10], [0], [-10], [-8], [18], [-4], [0], [6], [-12], [2], [8], [2], [6], [-20], [-12], [-20], [0], [-14], [-6], [-16], [30], [-4], [-6], [-32], [10], [8], [-10], [10], [-16], [14], [-8], [-20], [-30], [22], [-20], [-22], [12], [-26], [-6], [32], [28], [22], [20], [-12], [22], [-30], [18], [14], [12], [6], [40], [18], [-16], [12], [-30], [-38], [-18], [-16], [-4], [32], [32], [36], [-28], [-16], [10], [-30], [16], [30], [44], [14], [0], [-22], [-44], [10], [28], [-34], [24], [-18], [-32], [38], [26], [20], [0], [18], [-44], [28], [30], [20], [18], [26], [14], [28], [-28], [30], [-2], [-28], [-28], [46], [-20], [40], [8], [-18], [-2], [-26], [10], [-32], [34], [-14], [0], [22], [48], [36], [-6], [12], [6], [-34], [-4], [-24], [-2], [-14], [28], [-24], [12], [40], [40], [-54], [22], [6], [-4], [18], [40], [52], [2], [4], [-16], [14], [-46], [-14], [-36], [-14], [-24], [18], [4], [-54], [-28], [-42], [-32], [-42], [-16], [0], [30], [46], [16], [-30], [-2], [-20], [2], [-24], [10], [28], [20], [-30], [-52], [34], [58], [-10], [30], [32], [14], [24], [-6], [46], [-44], [-22], [52], [-52], [18], [52], [-22], [-6], [-56], [-20], [-48], [-46], [40], [-42], [-8], [-18], [-10], [0], [-46], [48], [16], [70], [-70], [48], [48], [-36], [-58], [-16], [32], [66], [-44], [-56], [50], [-10], [36], [36], [36], [40], [28], [-50], [38], [-32], [-76], [-12], [-44], [-24], [62], [14], [56], [26], [6], [36], [46], [16], [66], [-26], [32], [28], [6], [-58], [66], [-12], [6], [-54], [-76], [-58], [18], [-68], [18], [-56], [-18], [36], [-12], [-34], [74], [-8], [-32], [72], [24], [-34], [72], [-24], [-30], [-26], [12], [-42], [54], [-68], [10], [64], [-18], [78], [-28], [-78], [-56], [-8], [-66], [78], [-72], [-12], [-60], [-62], [-60], [-70], [-24], [6], [64], [-10], [-14], [4], [24], [22], [-44], [-72], [74], [66], [0], [26], [-58], [-24], [-30], [-22], [-36], [-28], [-8], [-90], [-18], [30], [8], [0], [20], [-12], [54], [54], [-38], [-32], [-10], [-22], [62], [-32], [-66], [-20], [34], [68], [-80], [10], [-40], [90], [-90], [48], [22], [14], [-36], [40], [-6], [-8], [6], [-50], [48], [-60], [60], [90], [22], [16], [-6], [12], [-76], [24], [-74], [88], [14], [-36], [-56], [70], [78], [-74], [-30], [-70], [32], [26], [24], [-36], [-72], [-30], [76], [-68], [-46], [-54], [-60], [52], [-24], [-62], [-32], [58], [-20], [54], [-50], [-30], [64], [42], [30], [80], [-66], [-38], [44], [-68], [14], [22], [52], [60], [-30], [82], [24], [-28], [2], [40], [-34], [22], [-48], [0], [18], [34], [-76], [-6], [4], [-40]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 54043195562004080, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3696.2.a.m', 'level': 3696, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [11, -1]], 2, 2], [[[2, 1], [3, -1], [7, 1], [11, 1]], 4, 3], [[[2, -1], [3, 1], [7, 1], [11, 1]], 5, 3], [[[2, 1], [3, 1], [7, -1], [11, -1]], 4, 4], [[[2, -1], [3, -1], [7, 1], [11, 1]], 2, 2], [[[2, -1], [3, 1], [7, -1], [11, -1]], 5, 3], [[[2, 1], [3, -1], [7, -1], [11, -1]], 4, 2], [[[2, -1], [3, -1], [7, 1], [11, -1]], 5, 4], [[[2, -1], [3, -1], [7, -1], [11, 1]], 5, 3], [[[2, 1], [3, -1], [7, 1], [11, -1]], 4, 3], [[[2, -1], [3, 1], [7, -1], [11, 1]], 2, 2], [[[2, 1], [3, 1], [7, 1], [11, 1]], 4, 2], [[[2, 1], [3, 1], [7, -1], [11, 1]], 4, 3], [[[2, -1], [3, 1], [7, 1], [11, -1]], 2, 2], [[[2, 1], [3, 1], [7, 1], [11, -1]], 4, 2], [[[2, 1], [3, -1], [7, -1], [11, 1]], 4, 2]], 'ALdims': [4, 4, 4, 4, 4, 4, 4, 4, 5, 2, 2, 5, 2, 5, 5, 2], 'Nk2': 14784, 'analytic_conductor': 29.51270858706523, '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': [3696, 1, [463, 2773, 2465, 1585, 673], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 745, 'dim': 60, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17], 'hecke_orbit_code': 33558128, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3], 'label': '3696.2.a', 'level': 3696, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 792, 'mf_new_dim': 60, 'num_forms': 42, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 60, 'sturm_bound': 1536, 'trace_bound': 17, 'trace_display': [0, 0, -8, 0], 'traces': [60, 0, 0, 0, -8, 0, 0, 0, 60, 0, 0, 0, -8, 0, -8, 0, 8, 0, -16, 0, 0, 0, 0, 0, 68, 0, 0, 0, -8, 0, -16, 0, 0, 0, 0, 0, -8, 0, 0, 0, 8, 0, 0, 0, -8, 0, 0, 0, 60, 0, -16, 0, -8, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 48, 0, 24, 0, 32, 0, 48, 0, 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-64, 0, -32, 0, -192, 0, 176, 0, -32, 0, -216, 0, -368, 0, 352, 0, 0, 0, -80, 0, -48, 0, 0, 0, 240, 0, 96, 0, -160, 0, 24, 0, -160, 0, 16, 0, -416, 0, -8, 0, -480, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1138771
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3696.2.a.m', 'source_level': 3696, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '462.2.a.g', 'target_level': 462, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1138772
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3696.2.a.m', 'source_level': 3696, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1386.2.a.a', 'target_level': 1386, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1138773
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3696.2.a.m', 'source_level': 3696, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '3234.2.a.p', 'target_level': 3234, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1138774
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3696.2.a.m', 'source_level': 3696, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3696.2.a.m', 'target_level': 3696, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1138775
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3696.2.a.m', 'source_level': 3696, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '5082.2.a.n', 'target_level': 5082, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1138776
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3696.2.a.m', 'source_level': 3696, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '9702.2.a.r', 'target_level': 9702, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3313800
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 2}
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id: 3313801
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 3}
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id: 3313802
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 5}
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id: 3313803
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 7}
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id: 3313804
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 11}
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id: 3313805
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 13}
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id: 3313806
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 17}
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id: 3313807
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 19}
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id: 3313808
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 23}
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id: 3313809
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 29}
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id: 3313810
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 31}
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id: 3313811
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 37}
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id: 3313812
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 41}
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id: 3313813
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 43}
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id: 3313814
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 47}
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id: 3313815
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 53}
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id: 3313816
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 59}
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id: 3313817
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 61}
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id: 3313818
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 67}
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id: 3313819
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 71}
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id: 3313820
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 73}
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id: 3313821
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 79}
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id: 3313822
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 83}
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id: 3313823
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 89}
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id: 3313824
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 54043195562004080, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 13, 'label': '3696.2.a.m', 'level': 3696, 'portrait': 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MPXAmENc5OG2YmE5XZAuy8YxB4rPcGmCcNSy3DyvKLi+Wyahm1zIRtnBmyYGbJpZsi2jZbtmxSXX+RRVXWOnWzy1Wd9Hj8Y8/SJiER1+MZXt3jnKy1VNcPBE5McO6s5cyFhPgX34UXLjVcu8LPvW+Gi2QnOXpjkwkqFpZbHSlvS6iS0eoZ2H/YdXeS5E63Lnzs0/5qTZxd2npxf+sLNb3hXeP8dH3upIfF1Pf5RM/jycoulgaWief99jx9+5X/4zY/Lb33VkVf+2LtP6qXVjSysTLG4UmOp5bPU0iy1YLmVsNyKWFpNmF+FI0uCudlVfv67lrhpT41T56c5e6HO2UXN+SXL/GLM6YWEC52YyekBr7q6yyv2gi+rBCrg/HKFc4ua+WVBbwhxbKj4hnolYWoixgAn5mPaXdix0aNeHWKtAOHT7Ru2bxqytKrBOimy2oVhDBbLcitk6waPTl8hlEWYIc2Kx/bNA1Z7ghNnNYnRzDQljYog8CCOBb2hZH5Zcm7Jcn4lJggG4MXcfEWXV14pmGtWWVppcup8wNlFOL8Yc3455swyHFmy3HDFIr/wXStsmmxycn6a+aUqCys+iy3J8mrCSjtipZ2w3LFcaAuOtaC7vMp/+7Eo/s43Vx6obviXRlevekCo6KeisI5fab7UUHnBxz9aBv+rj32CG2+8lp/+8R/7xQ/95Vf+3W/8yZcuOXxqdefRs135yit77NpsiWONtTI9BFgJSEAghEULiy/h7FKVhw9Lrt69zN6LBtQq4GmJ7yl8X1OvSmqepNf1OHC8wl2P+5y4MKQdRxw4NWTjzDJve9UKV1/S4Ya9LY4vxiz2BLVgwNGzlla7zlUXS1YHCfuOKxo1zXMn4NItlkGYMEh8tI6YasD+UwFKJ3gyRnvQH0pu2tuj35NcfUlCu59w4myDXZsU9VrI6tCyYbLHSrfNX34ZnjyW8PSxATu2LHHNZW2mpkPeenOHd91q2b2pQRJNcuzMBEdOe5yaN5y+EHH6QsKRC4KTqxEv27PAz39Xh42Tk5yan+b8Uo2FVZ+llmSlldDqRKx2E1a7lpUuzPcUrU7IK65Y5EfecUE2K9HO9vKRXb2eebn091ar9akv3v2lv+VDf/zRlxoy6z7+UTL4Jz/5KS675CL16JMH/sPhY+d++t5HjqkTCxHLQ8XiIOGanef5tR9a4LrdNeaXp1harbPcqrDc8lhua1Y6sNJKWGnHLHdiFltwakWgqwNuuXKZb701ZNeGOqvdJheWqyws+yy2BMstJxFWOoZ239AeWnqDmJlmxPaNBhAEnuX0BQ8hA3ZsUOzaYtmyocf5lSFPHWpw/aWWWnWFZw9P06iHhKHHzJShP4DLtw/46JcnueyimOHQMjshiZI+jUrAc8cHVL061+6JefpoyPkln60zAbs2w/ZNIUpFnF4E37MIYdmxMWaqIen0A7o9j3bPY7mtWF6FpZZhuZWw2EqYb8HSIGH71i7f+tpFbtmrqXhNzi02WVypsLiqWW4LVlqG1U7ESidhtWNZ6sJ8VzG/GvPyy+b55f9jkT3bqqx2GrQ6FVba0wzEZYn0Nv2i19zxC3F/Pnnzm9/+UkNnzeMfFcAPHTxAtVqpnjx5avtzz+9/z5mz8/95/6GTrHQEK13LSl9yoS+Z70TccPF5fvWHlrnm4ioXViZZWq2z0q6w3PZYaWtW2tDqGFY7MSudmOW25XxLcLZrQXR556tbvPUmw8WbK4RhjZVWhdWuT6ujWOkKOj3BYGgJY0uSgJKWwINqYJlsWjZMR2hvwJFzIc8cDjBxnTe/PER7qzy2b4Kdm+FzD8e8+qqAC60+Fa2Ik4jpKYgjD+3FLC3VeNV1bT73YINdm+HRQ0M8arzpJkMs+jxzJOHY6Qpa+myc0kzVBdVA4PsCJSA2EEaWQQidnmW1a+j0DKs9w1LX0k8Sdmzr8dZXtHjnK0MwDZZWJ7iwXGUpI4MWrHYSWt2Y1Y5j7uUunOsoFtoJN+w5zy//0AWu2FFlaXWC1U6NVqfCUttnflHiVbcyNb3xZ3ZefNlfbd689eRwOOhfeullLzWU8sc/GoCfOH6Y2dk5/+jRQ99z8OChDz78yFOi1enJwdDQ6RtaXUOrL1jtCxb6knOdiJsuucAHvn+J6y6psLiagTxgteOz0tGsdgStjqXVTVjtxLS6hpWu5UJHcK5lmJrs8Q03dLh5b8yOjYpm1aPdqRB4ElCEscQYgbHQGwDCMNUYcOiMxdiQOx+tM+xVuWSrzy1X94jMKvc8Psm1l3ocmu/SWmnyiqt7fPGxgI3Tln0nLP/qHW32HQ/YOC2563HFLZcrlnttjp6a5to9Ifc80yce1rj5Cp/dFw3ox13ueExBIjhyWtOsabSAXt8F1YmxRDEgDdo3tLqWeiPios1DXnl5j2+4PmamXuH88gRLq1VW2u7crLQFrS60OjGtbkyrm9DqWZZ7kvmOYLET8/LLFvjF71/gml0VFlJwd7oBra7Pasej1VV0+hYhK2bXJVfZnTt3/8juSy/98OLCQrj3sj0vNaSAfyQAH4aRHPQHb7v7y1+4BKJffvKJR73eAIaRZTAwdAcx3b6hM7C0+4J2X3ChLznbirn58gu8//sXuH63z2p7goWVBq1uhdWOz2pX0+ooWj3odC3tXky7m9DtG1o9y0JXsNCFKBlyzaV9Nk0ndHuWt7xiyM5NhjiRaGkJI7j7qQonL1TYPBXz7JEKmBp7tymuu8wQVHo8dqjHwmKdK3fWaU6u8ODTHjdeWmGpt8rKSpNNmywP71N8x21dHtmn2bbBY7HbYmV5musu7/HgswnT1UmuvKTLhVaLh5+fpKrr3HCZZc/2AcguTx0TbJiOOL8Qcc9THoNIISUkxrJzc8g3vCKk01VsmTJcdymEYY3lVo3lVsBq16PdU7S6knYX2r2Edjeh00to9wyrPctyX3KmLWj1h9yyZ4Ff+L4VbrjU3RytTpV2L6CTyqF2V9EdSHoD6PYTOr2Im266KapWgh9/61vfcrharX5Ga8+81Nh6yTOZw0GPJOp/17HDT/zaubOHpldXlvE9iUUgpAVLmqABSC1AYZHSIqXmkYMb+ak/1LzjlmW+7bZldm0NmV9qEvhVqoFPLfCoVzWdqqTR95ioa3qDhG4/YePQ0B9aOoOA5YUKp09ZwthwZj4mCCwg8JVFS0GvrxB4xD3Ny3YKdm+xbN/aY5h0+Pwjiv2Hp3jj9QHXXb7CRz5v8UWNnVt7PP2gYuukYrbZo6KqhJHHhQ7UK5ptGwVP7g+5bk+VW69d5I9v7+N7Dd7wcosX9PjSwyGfe6jO88eqXLylxs7NCXNTIbtmI67amaCUQSsLWGpBwNxkQBh5dHo+zx7y6A40vb4DYrcP3YGl23PfvdNP6PYt7b5ltQ8LPcX5FUttosWPvnmBf37LkGsurnNusUmrW6GTgrvTV3T6kt5Q0B/CYJiuIEgefvgxb3Z29tcmJueWb775xn/b7fb+uF6v/X8X4HHUBfi++ZMPvP/4gXumRdylUdVEiURKEAiwCpv+fSFACNdJo6RFyQRfSp4+NMcTB+scOnuBd7yyyyuvGDDZaLLcqlFvV2j2fbo9TSe92P2BpjfUDIaWQWgII0sUWeLEHWHsYw1IJfC0oOILJhuCqQZsmjVs29hjdqrFFx6De5/wkGaCN17v8bK9He5/PiIcNLnlZYJWv8+FpTo37zHMTvao6oBBrFhoRygjeNkeTa0x5PEDFV5z3QSvuKbD4wcU2Amuv8Lne79xmS8+GXLXI3X2naywfU6xabrKVKPGRAOqAXjaoiQYC/uOCZJEEMWCMIZh5AA4GCb0h4bB0NAbGHpDQ7cP7SEsdCUXOjA0A15/7TJve2WLb3+DIY6bzC/WaXcrdPo+3b5Ht6/o9BW9gXBHev6GYcIwNESR4fzyaQ6f/Nz0hZX4//eOb3yNbrV7fzjRfOlA/pIB3Np5YPi9nQt3vb81/5UNdT9iw3SV3sDQH4KSAikkQgiEUAghkJIU3KCURSuLpwxVT7DYq/IXX97Gl55o8+qrVnnf61e5aleXmckaS6s1Ov2AXt9Lga3cEQqGkSSKBXHslnqb3k1KWrSGig+1qmG6EbF1Q4+YLofORPzlPRWOnqozGVS58QrNzVe3efhgizu/2uTll1bYvrnHR78sUCKg2YhY7Q4xFpSAuWaPdsfHxFXe9uoL/MXnauw+X+GtL+8RRkvc88wMUVLhpis28NYb21x6UYsvPd7j6VM1njrms21aMt0U1AKB77mbUKY3v7FgjCWK05s1sk7qhYZBCP0QOgPBylCw3AGhB1x72Srv+4ZVXn1Fwkyzykq7RqtTpdML6A48uv1iJegNJf0BDtzDhMHQAXwQWoahpR9KTl1o8cE/u2vD6bZ9/3e87RZ76MTSH12646WpZfkHB/jq8d/g3/7WHn71t+/77u2bTv3yzbsfmK3qmIn6BBCl8kOhpHQXTUqkcGBXUiNlglIiXZ4NnrIE2lLVgpWBYqk1xcfurvPQs11uuWaV971hlWt3t5hJqsRxQG9Qodv36A81YaSIYkmcSBIjMFbkEijwDbVKTOCH+N6QM0tDbn9Ucvi0z7HTUygTsHuzz+W7FNfvbaOCBZ450mDrZI0rL4ZNcysst5tctVUSG8sXHgkY9iST9Zg33TTgM/dEnJxvcNklHudWBzx31OOijVNcs2uB+5/u8OBzgmHos3fXNHsvCti7rcORc8scPgOP7K9x6GidmhYEWlIPLBWPdNUDa93NGicQxhAmgu5Q0B4I2hGEJsbYATdc2uZ939Dm1VclbJ4OGAwmWGpV6HQDugOfXl/THSh6A0V/KOgPJP2h6xsdDBPn8YeGwdAyDA390NIbQi9SnDrf5s//5nMbrty8/5evv3RTbC0fASu6A2yj+g8X+v2DAvzHPvA7TOx4hJ//XvvtvdaJ3+j39k0GKiLSE1QrEYmRToJIi5IugFIqZXMlUEqhlEArg1YJnhb42uB7lsCz1PyEyYqgM/RYaU/x8XubfPmpARunerzntS32XjRg0O9y5S7LRZsUw8gjSRSJcYkigUVKg6cTTpy3HJsXrPYNn76/xpnFKWzoMVVRbJnR7NikuXgrXLm7jZGL/P5n6iwvT/DyvZord7f40lMCEXtsmJLUazG9yEdaCVaitE9rIDi/LLjC1njt9R0eeLzKllmfl185zb/8xkU+/LkOjxyo0x14LK022LWlymWbe9y0p8M3v6bD2eVlPn1/wFIv4MQ5jzNnfDwlkFIiEBhrSQxExpLEhqmZiKuv6DEcRuy9aMi7Xztkw4RiuhEQRRXOLVTo9X16Q7fK9XNgSwfuoWAwJAV0kkuTQWjzox9CdyjohoJIKp471eX/+q9Pzu7ZvvNXf/KHn/+Z172C77V2cO8/JOb+wQD+qx/8GP/uh98tfvBn9LdM+s/+wbe88vHatZcKBkMfm8RUghBj3J0tJHkg6YAuUVKilUCr9FkLPJ3ga4HvGSqepRpZaqFlopIwVRX0QkknrHPsdJ0P/Pk0mBgRx1x/dY9dm0LiGIw1WOuSOFK4G0l7PgdO+uw7XKFe0TR8yWxNMDcj2TCt2TKn2LE54bIdqyRiid/8RJMTJyd5+R6PvTsT+nGHrz4TMFn1mJmwTDZCalUnhYyRtAaK5a5lqZXQ6lZ51ZWrPLqvx/6TislmhZuumOT737bEb30SHj9cp9u3rHY055ebbJqtsWFqwI6ZAT/2LT2atRZPH4MDpySeZ1HKIoQBXIBuLcQx7NyUcMtVMUnkEcUB1tYYhB7ziz79oVvRBqHK5Vs/FAyGgkHoWHsYuqzscGgYhoZBZNKfZQf0onSliCR9A2EsOXwipq6fmRsur8x1zuze9e8+8CP3Pf/4n9srrv/2/3UAbpPfBHlG3XP/77wz7Kx+5Ff+dqXy9P46H/jhFS7fngBOHmBdIOmArVHKumBSqVRvSzztNKfvKYaeZBgagjBhGFmqkWEYGcLQ0oxhGBmGMYSxYBBJhklAlFTYf7jOU/shsRYHbaeNPQm+cjUfjQCu3AzNKkzUJVMNxcykZsM0bN80ZPPcKpFd5jc/McGRoxNcd7Hi4m2S3dtW+MpzMeeXJrh+l2Sqaaj4fQIZYJUgTiTCWuIkZKVb4fySx3V7q7xsT4f7H6+wcUpQqzS4bo/hR9+5xG980vDcmQarXcNqR7GwopmdrDPVrDLVnKBZi5irR+y4LiTwYjwdo1SCFC6YsLibKooUFxY0UayIYkUYKYZR+hxKhpFkGEoGoWQYCheghoJh6OTHMHKMHYappo/czwchDCJBP4JeKGiFgpUIhmEMwz4v27XK+39oiddcOs++Q5Xfv/TyP+5f8b5LP/FN//qvkr/9zff80wf4D/2H3+ef/5u6evUV59+9c+bgH+87dqGCrvH5h6bwtOUXfmCVKy/qIYRLQQuZMrfKnBKLpyyeVnja4oUS3xPuIniCoa8II5lG8ZYwTpwrEpeOBOLEkiSGxOD0tiEHtxCgJGgJngeBFlQCQS2Q1GuKiZpkakKwYTpmx6Yejfoqn3gg5J5nplldbHL1dsWOzR6XXjQgEat84ZEadU8zN6Vo1AY8cwSeP6q56iJLb6i45tKIq3db5s8lLKz49Ac13nxjh/ue7nPojKJelQR+k6suNvzCdy9x93N9PnP3LEtty44NCSstzWRTMVH3aNQ86lVLJTAEviHQCVo5qSXT1kprcQkrI4iNJE4EcSyIYkkYC6JIMoyc8xJGgjCyhCEMo4QwMoQl4hhG2ZG6NBm4I0ErlKxGMBiGyLjLy3au8vM/sMxbbkqIohoLi49VhoPoT5/4k3P/4tob9F+bX/hAoqZ/4p82wKtBU26dDr/t419a/p1nD5+thKYBvgZT52/vl4RDxbtva/Oe27pMNhN0L0FJg1a+CyJ1gq81XqQJtGLgOaYZepLQF4SRcBcnUkQxhJF0DkJc2H5xYkgS5y4kNnVKUrckc2eUdLLH14LAl1QCSb0qaNYskw3Dxukhc1MdYrvKx+6TfPhzM2yoVLh6u2D7Zo+dWww7Nq/wia9alpcr7N2kmGpCoxZx/rjkwkqAvwuGkWBuQjI5CYeOWVbahvnFCpfurHDb9R1uv7fCTAMC30fJSa7aLfiBt17Akxf42/uneP5MhY3tiA2TMRN1RaOqqFUl1UAT+BB4oLVzmKQAKUogx93YiYEkEcQJKdAhSixhDFGUOFKIDGH2HJnUdsxcGQfufiwYRIJuJGjFgk5oiYZDJoI273nzEu+5rccbrzP0+lXiRHHD3pgrL36gMjF15R+snLxSW9v87zie+acJ8N/+o08SJ+a7P3fv0V89fHShKcQGPCUQChKjSKTmC49ovvpchXPLy/yrb+4z1YyoBDHtbgWtfDztuSNMCD2NHzppEkYule4YRzgmSlkpjiFKIEmck2CMC7iMsVkPZwpuB3AXuAo87QBSCaBWMTSqMZONmLnJPrNTqzywP+RP76xy4NgkOyc8dm+CbZt8tm2Ey7a36cVtHt7XpKo85qYUkw2YbAyZmojxfY0Q7ubqD32W2xGrPUurG3NhxWf7pgav2HuBOx/pceBMk1oQ4SkfISbYvVXxnW9Y5IbLLvCndzZ4+NlJlrqaDc2YyVpMrSKpVhSBJwg8iee5WEUpUvvQodzieliNIQd6nJh0dUutxdgQJw7ccQRhbIsjcq7MIAV2LxJ0YkEnhkE/xsR9ZmodfvhdS/zYe3vUKx6tTp0o9kmMwlqJosnS+QvNRM//pqrd6B99/hMfvviKd/7TA/jKSgul5Pf97of/5v3L86dnLpoUDGPLMIFhIhgkgr70GDYVqwOPX/1Ln31HVnjba7q89toOG2dDOu0q/WGA78UEvscw1AS+s/cygEeRJIzdshvFqaedkFp/pMwtMZYC3C5JmTI3aOUSJr5nqfiGaiWmUYmZag7ZPNvmfKvHBz/t8YVHp1leqXPJnGD7BsHWDT7bNgh2bRmg/VX+4h7N0VN19myUTDUkE/UEKYecWbAE2tme1grCSLNjQ5tHSGj3FCtty/nlKnu2Vfjm17b46y/5HD8f4OkIITyMrRPFkut3rbDjvW2+8HiPj35hmseO19k6JZitJ9QrCRVfEHgC33Oxila4wFmKvCbD4m4yY3FOS+IAn4E8Tpykc2CHMHGZyjBLHsWCfgydWNKNoBcZkt6QbbNtbr1ulbe/psdbbkzwRI2VlQph7BEnmijWxLEiShTDUNMfLM1Mbhr88t5r36n6vfYfVmv/c2rK/6cAvNVq4Xnev/zSl+99/8H9z2+YqBl8LVxgEju2HSSCSizoJZKeqNKKPP7iKxXufrrDdXvbvPcNPd768hYzkwH9QUB/6BN4HmHsEUY6D5TcSZPEsSRKBHEsSRJBYkShtY0gVyVZICtcskilySLfMwR+QjWIaVSHzE526Ud9vvSM5S+/MsHDz04y5XtctdWyeVqyccZny5xk28aQi7eu8PTxPp++b44JpZmbEDTrgmYtotVL+NxXKzR8ixAOWP2h5m23DPnsQ64mptU1XFjRbNvQ4B2v7PLw/g77DvnUgxglhQO5qTEIndb/ztta7Nl8gb+4u82Dz09ycqXKpqZgomKp+YaKNvgeaCVQkjRB5r53Vn5kUqlmTLHCxSnQHUFAlAiiJAV2IhjEgl4s6CQwDA1xGFKv9njHG5d57xvaXLcnYeO0pt9v0O76pWuliSJNGDtyGgw13b7ifOvghlg89P4rr7nFdDrtDzUaf/8g/3sFuDXLnDgVohTf9dBDD/7KPffcM9PrtmhUpcs+pgHjUIGXWHzlQF5Rgq7y6HuK022fsw/VeOiZLn99dYd339bnTbcMmJ70CYcBw9gjjLz8pEWxIk4UcZImbJIC4K6NDawpEgsumCXV+RatDb6XEPgR1SCkUe2T0OeLj0v+/MuTPHtsAhEF7JyybJ60zE4q5qZ9Ns1KtsxFbN/U5tRCh9/9TJ14WGXbNsFkQ9OsQ7MWIbyQdr/OZMMihMBaiGLJdKCITUwn8un0ElbaijMLVa64uMEPftMqv/zfA04s1NEqSm8MTRxXGISSTTMB11/S5uqLuzx34gx/+ZUqdz42ydlWlXqgaPhQ9yy+tngKtHTpfCFGq+sMYI276RIjSCzEiXD+eSIIE5ck6ieCfgL92BLHMSYaMlPp8+bXr/Ke13d49VURE1VNGNdZabl6mCgqE5EmjBVhrBiGiuFQ0RtoVjpt5h+4Z0NvIH7lZdfeEK8snv2TdlRj++bJf5wAj4Y9dmyvvH3fM4/91qMP393s9jpUAo2xCdZaBCK1AC06dq6FLy1+IqgqQS8R9FRAL/a4MKzwtw/VuefZHjfd1eVfv6vD5dvbbJhUNGuaMHIMEccFyJMM4EZirMRaJwlsHlCmqX5lXbJIxwR+jKdC2v2IhXbEf/tEhWMXpnh83yTW+MxUBRtmLbMTgpmmYmbSY+OMZNNMzNa5HjOTK3zhCcNjz09y9TbBVEPSqEmaNUO9GiK8IUGg0cr9fmshSWQ6qyUiNoJO39DpWpbbHvNLTW6+rMsrrljlL+6qUF1WaBk5QFpNnPiEkevxnJ2scMPuLjdc0uWRW89yYkHyp3dOcmG1xumlAF9J6p7Az2SYdIFnTuSZVMExeWwFsYHICIYJDGIIjYUkhjhCqiFbpvpcvcNdjxsvT2hWNXFcp9UJGEY+caxz1g5TSzKKHLjDSDKMHMgHocser7Tb3HHXl2ZWuva3XnbdDSuDQf/Tf5+Y/HsD+DPPHsCrbFV3feEPLjl69ETz/IVOml4H33Mgc5lCgU7ZXCeWSAl0bPETCBJLTQn6StDTAf3EYymscudjEzzwfJ96MORfvKXFtpmYnVv63HxlBy1ci5gQTq64rKSrlba2xNw4C1IJ55lbYpAxzx2TPLpfc/vDDZ472SCMazS0Yq5qma5bpmrW+eBNzfSEZmZSsGk6Zstcn81zK9zz7JDfv30Dmyc1c01o1hXNuqBRi6kGQx44qBiEGq/uQGWtIIwlFa24dk+fh56ZdIVP/YTVtsfiasD5xSl+8K3nOb24xENPzuFJQEQYSAHkMQwl3b5mqlFhslnnFXt63Hp1j/e+boH9pwyffbjCw/urHDxaJxbasWakUHl9TznwTHMC1hAbizUGTyRM+CEVIl5xXZddmwdsm41435uGVH1JveoRhjVaHcfWDtCek4wjh3R2ZCRTNk8tycgVhmkl6fTaPPzYPc2F1plLvudbv0PNnzmcbNp6yT8egO/b9zxbt8z6Dz/8yPfsPxb86gMPtZiqS6TCAVoJjJcCLU/kCHTiQK6l03xeCvKKEtQSwdDAIPHoJx69pEKnk/ArfzGFjSM2zg24YvuAmYmYd9/WZ/uGkCgSqd6WUGJuRPZ7DUIKPn53laeP1BFac+JsjTPna1SqiolAMFm3NCuGZgUaVcFETdFsKKYamplJmJ2M2TgzYOuGNold5eP3Nel361y6zdKsKRo1SaNqaFRiPC/kCw9VGPYk3gbXLZpJlHpV8eab+tz7hKE7lHT7Ce2eZrWjmV+qcfmuBu9+dZvHn6txYrmBkgaIUr3suWAtcomZ7kDT6vo0qjXq1SGXbxvw8ssGnLrQ4vi5VbSX8NRRzV9/pYZQrnCN8fmD1gAGrCUKE3ZsjHnPbX1mmwmX7bBsnIEk9hiGDeLYY6XtEUeKKCmCxyhWOcBdTCTzwN+B3cVfYSRSd8t9jNkpj5mJFrtn+NVnn3msN7dh14cPHdgXXnrZ5f84AH7mzGmWlhb3nD59+oMHnn9czjQVUgiscP6yVRLnwrpgR6YMrhIHck85H9ZLnAYMjKWSWBfkGEuYCIZGMkwkofGIDCx0m3zlaYMl4VMPu5ENWJMeWRYvtcjyikSJVIo40kij8bSkEcCuOUvdM9QCQy2AWiCoVyWNqpNDEw3JVBNmJmLmpoZsmeuQsMJ/+5sK9z+zgd0zMFVL2bsmaVRjatWQeq1PtVojUBIlUw2Ou7BR5DHoC/rDhM5Q0R2knUsdxUrd5/T5CV51xZAf/Zbz/Npfa06uBghhsDbCJJYo9ggjyWDoylgbfU294lOrVqgFNSpBRKMacv2lIb4XceOlMe97fQ+t4jQJZBDCjoryVNIZIxFCEngK8BkMNUsr2tXtJFnMk8rCFMhx4kAd5wF/4WzFscvgZgCPYue/x0ZgDSRCsLCiOHXvE/Kaa70Pttr9+8Lh4Nm/D2z+vwb4k1/9G6anqe4/ePCdJ44eERN1jyhx80kSYzFCgDAIkRZSCYtUoBJQsdOGcQI6cb2PcRbRJ4LY2CKyN04fukMQGklsJYnRRCYgSW2v8iPPUgrQwkkjT0GlaqloS0UlBB4EGiq+pRoIqr6kVpXUKtoBvC6YbBimmzEzk0M2THfZsmGJ37/d8NE7N3LRpGK2YWjWFY2aol6DWjWhUY04t2Q4ci6g4rsbGrJKP8Eg1OzaZNg0O6A98OkPbMriktWOplGt0KhN8r7XX+DouXn+4NNb0VJjMSQmITaWKNYMQ0U/dEVRvYqkNtBUA49qkNDquBjD9xI8neB5CVq6RgkpXTo/yyC70hUBiBTkgpZJqyyNi2uSRGKMJDZFvBMngiRxgHbJozRTmmTALo4ofR8lkMTpc+7JC4ZD+OrDT4jN21rv3Lhpx5E/+OO/7n//v3j3Swvw506HfuPC8Z+c1sd/0ldDWa1IZOR8aJlYEmMdc2YpeGFRxqKlJZYZmMk9a2dXOU82ybJuxpV/5mn2tFLOebkiD5TKmhvS1UK4wEpLg5akNS3gKYGnrfONtaASSCq+pBooqhVFoypp1CwT9YTJRsx0c8jsVI/tG5d4+OCQv7h7C1OVgI0NQ7MmHLirknrFUK/ENGpDHj4AT+2vccmcTXVvkTbvDxU3Xma5dHufR56dpDe09AcJ3b5OQe5Rq1SpVib51tcs89TBCzy0bxNYhTGJK4eNLXFk83qS/lBTG1iqFUXFNwS+R+AnBNqgdYKnXYlxVgYhpSMchEUUbSWl4Fykw5RSR8pk9mvJis2AbUQO9ixLmphRgMfpCh0n7lqXr7trNLG02l15euX0f3jHRcrfe2X1F4HwJQN4p9OTvV7/5z70J3/0b6f0vG/MNEqBZ103jhQCZRyQVWJJpDtUYolV+jPjdLg7cRaTnpgkzz7i2DkFuUkzcVmywlpLKfM+suJmqeosoaPSeMBTlIq2XPYv8BWVQFENBLWqoFG1NGsJE/WYycaQmYk+W+ZWeOhAn5/7442cPD3JxbOGyRo0q4p6VVGvQL2SUK1E+N6A1sBVQ3rKBdfZw114SRT7NKsRvdjQS+use4OETk/SqipqnYBK0GDnpohf+J4W//Ejkq/u24hFYawhSQxxEhPGxvnLoaIfSKpDRcWXBL4l8BWBNnie8/u1Sut8VEE4pM0SI/SQpvZtSiI2rWVJUsAnpnh2xCTTZ5ECvvQ6dqtukgE7J7OUtNIkU5JYPE/S7Z33Rdj88b2Xv8MLh/2f8YPq3zmd/3cGeLvdJkmiX7z//vv+zbnTFyqd6iSNmpMEWoLUDphJIlBGkEhLbJxFmGTgVmkmTdmcpY2xeRrZ5B4tWGNdF3laAlo+GAN4KrvTwNJJFCUFSjlJpNNWNE9LAt8NAKoEbiRDNbDUK4ZGLaFZi5hohEw3+2yZW+Wh/T3+44dnOXBymh3TzmFpVCX1mnTsXbXUKgm1SkSUhPzZXQ2kUnjSokRhExqbLeUe3/nGFe54LKQTBvRSgHf7ik5X0Qo0FT8g8JpcdlHMf/7eJX72w4IHn92IsZLEuLR6FLtCs2FoGFZcuWsQCCqeIPBdZtPXNs/YamWQynnjriy5BPAi5QmkJILLJTi3JQ3kMwCnUwdMnlwjZXfyFfeFgG1Mlkl1RGex+L5k92SNkycWKg8/9MD/9fKbbxXdbuen6vXGPyzAT544hrX2FQf3P1NtVC1BoPKqPCkdOKV17xMD0ghUIkZBnViMKoBdZmhjivYrB3Th6igyUGcnfuxzZQDPajCyz5Oxt9ZZ3YnE86Sr3/AFlcDNPKkFCfWqA3ezHjLZ7DM32eLh/T1+7kPTPHdilm1Tgpl6SZpUNPWKq1+pVmKqQYjnDTmzNIWnBEqa1JYrgswkkcSxYvOUJY4j2lEl7ZQx9AcJnYGk2lNUfA/fq+DpCfZui/nP/3KBf/9H8NDzG0iMdABPLFGcpExuGAaGSigZ+CqXYJ4HnnYSzdWpOPdKZt54+rwOxp1cIU0KIfLkkEmTQ1m2OElKSaNSvYvJ5Yi7fmVQZ9fZGrcSK+lqz89eCBk+8kR1buP2V/y/mVH+dwL4I1+9k4of1b74xS/6wraZaMgUSO4k5SfDFtVrxkKi3N1tpHBfUBdftgBzWYaUTkAmR7LXL/DZpCiKqKR0NmUGbiVl2iiRyROoeBD4hmrFUg2cfq5VI5q1kMl6n9mpFo8dGvCzfzjFMyfm2DKpmKsbJqqCRkVSqyhqVUG14m4Ol+oPeWifoDvwqajspncaPGtCSIwgijX1iuLmKzs8/FyTXuRkSn+Y0OsrOoEi8BW+56f6eZLLLzL80vdf4Cd+Dx7ct4HISCJjcg2b9WAOfUngG8feXlFHr1V2kMqUQsbJNMu7HsizpJDNAJ5e4yR3XhhdeTNpmYwRmMl6X4v3WQEYWBLhNLoUgsHZZT75qdv9173uDbVPffpzvX/+9rf+zwf4wvkTzM5tnXzwvk//bqD7r6lX4pSdCshZmxXa25LMSMGuSne8AaPE+qxdArTJgV00BZNq7/xiCFdQJGQK7rTISOUAB5VWDHoafA/XCeSnBVZBQjWVF43qkIlGn6lGmycPD/nZP5ziqeMb2DSpmasZJqpQrwjqVUWtqqjl7J1QCWIatQH3POWz2qowNVWkyTPAmFSbRoliw4zi9S/rcs+jxnXRhKYEcknFk1Q8jad9tK4ipeHyiyzv//4L/MTvWR48sIHIaKK0AtCVvTomDyKZVxf6WqJ1WoQlBUpn54b882U3YSZVRFaVRpEQGj9M6dmY0nN+7UtMbezalTkltJy0bGFdGhOD6rzmyNHjf/Qd3/7NP3T4yPHVS3bv/J8L8F77LMP+wk/0W0e/TZkLTDS8tJg+vbuzL2xsfmc73VYq0yzd8Zn8SHIZQn5XjwSS48ydIj1bvnLtLbMKukJ3ZxWDWuHqM7TF81xjccU3VPyEaiWmVomoV4Y0agOmJ1o8fnDIT/7eLE8e3ciGSY8NtYSJmk3BnbJ3RVINHPtXgphaEBKbIZ0wQCiJlzF4rsFFesOnfnHkUfcHrlwgrDCVgXyQ0PMdgwe+xNMaT2cb0Fqu2mn55R86z//9O4YH928kMpphIggTk7K4oBIZAs/ie653Vadxh1auRFhJWfS8ChDZc6kwK78xy7HOGLhzEioRUwbuFwN19nfyf8tk19jmN8rS6gLaP/ZtF3/1ySNhGP37/6kM3mufoNrYtmPfI797tUpOMNW0RElSKm4iH3VmTMbMGbhFCcy2dKeL/EQlpnzCRIkpiqykLa+ZGWuXg8psuU07dFQaTGmddgalRUhZ9WDFS1LdHFGtDJlq9piod3hoX8xP/f4sTxzdyNyEZq6aMFGxNFJwVyvOTszAXQ0SKn5Msx6y77jl7sfr+FLiKZMGcYWOzALnKFHERvPa6yMuubjLkZNV5moUfY7DhN4gZWGt0NrLu5yEsFy5A37pBxb5979nuO+5OQZR1SXDYkstreEOPBzIdbZ6mby3VaokX+GUFCWAixLIWaNXCpDbUYDnFYrFypuDOGdzcs1dXq3Lzlj2szhxDSzPHDiLvvPRq3/xZ39gx/7Dp0/svWTb3z/Ao8FxlDe5s7v45V8P9Nm3V/0VpKgwjEyewXL6S46xtBgFe/48uqQVdlQpci+7JGvckpS5x8GdJZKybKlM56ekzO1rg+cZAs8Q+DEV3zU81ypDpid6rHR63Pss/NKfb+Lpw7PMpuCerFoaVUG9InKv3DkvxrG37wBeDYaEScKgX6GiUkdJlJZ+Ms0q0kBTOy2vh26uSCRKADf4foLvaTxPopVCSS8HOAKu2SX4pR9a4Vf+e8yD+2c422oyqEsmE0sjtlTSiQOBZ1PvP3NSbM7emVTJAJ5/3vRDl3GeK8T0otj8WpXKb0uSsri2dkS+jMoam5ObMZnb4sp2h7GgtdKncnL17R/9268mb3ntNf/XM4fPHr/6ki1/vwC3w/2YuPZy03/0nTJ6nEZ9CjUIUUrntQcuqrclnzQLNMuvi2e3XNsiIB2TImWAZ6e4rAqzi+CKuDL2tkUpQD4cyJXFetqkYyaSHNyBn4J7usvCSp/3/1mNT391jsXuFHMTkrlKCu6K0921NLCsBpJaYFMGd9q7EoRAyJef9FmJfGYCRuqxEaMrVJK45odmoLntuh4PHQjpRAETece6wR+6WnVfO4BrZVHSc2Pt0gzk3oskv/av23z2oT6/+KGNnF6coj+pmfQFjdhQiyGI3OhlX7mBRl4WaEqRB8HZczlQL9+YQuS9Ivn1gTEJmQF7hNlLWj13TdIgtPSz3FpMXZcwEQzTnoEvfPUIk3Nz72zUgz9rdQbH/14Z3MQthGpemrQ/+X+q6CtUKwZL6GaJSIuShli5mmydpJmuUrOBy4KV5EvO1CKv17bYwoYaZ+2yLElPdMYsWbo5cwFUBnDlsqU6zd55Ou3v9BJ8L6biRwR+RKPaR+se9zyV8Eefa3L7/RsITZMNTcFsxckSZwFmPrlKD5Eyd5m9I7Qe8sDzk/RCzeZa9nnGGTwLsl2FXcVTvOLyPrFxAO9HaXNI1rk+NC441CJlcXcjizS5bhHMTgq+7XVdGsFZPvS5Pvc+P8N8VKVXkTRjS11bB3KdxiHKpnGJTUGenUNR1I5LkBQsPu7W5VIlG1EBY9q83D00GoxmEiUHeZLmTdIyjSirRY8ErUgSkvC3X3qYW2/Y/n9+/3u+4YlvbnUOTU58bW/8awL8mf0n+cnfuIN6bWZL3Dt066suWeK2a2vESegG9aSToFRiUbEkUTLtXpcl9rYj7J1d4BGtTQb0MrBL1kPZvhJ2TJpkWTlXMehGu5m05jsFt3K1GIEX4fsRFS+kVhvg+z3+/E7NB/5kA0cWpvGCCpsagukgoRlY6gHU0w77auCynZU0IeTqV5J0JXDyZLGd0A19fKXwpc0DTEpfJbuxs9qNMPaoegM2TfZZ7TXoRyIdt+ZiBc9LUptPpXancgAfCVxd5ePbX93lxisW+KU/HfDRL8yxHNfpBR51T9LUrgYn0OAr8mYInSV90pVP5lKlSACVSWVUrJSBzrorcA74TG+Xj1IyL8nqjdJuokEi6MaCTmRJBjFXXnyCV1x8760krS21ZPHQoHOMSmPX/zuAJ0nCv3vfbTs/d9/+3/+JXzvFhVsmuWlPn2oQkSQqZ1THnsqlXJUgSUzeUVPo8DTla4t6h/zLlxwYrFjX5xbYgk1kNoizPCTIrSZyhLmTFOQxvnaSJPCHBF6f4+dj/uCzdT553wxHz0/RrHlMV2AqSGgENk29Z+CWKbhlnhSqpNo78N2N06wP+cQDmkMnqlTSCVx5uxgFyvMxDjYtVIo1e3fAN97Y4Y8+P0O3pmmms0eCMI0blEFrmY6towRyr0SpblXYPiv5qe/ocfWu0/ze7dMcnZ9gOa7S8zR1JailQPeldTdO6jLlq192XjP7EKfPi0ynXeuTZ8SUlU7YtbFUIVPKIC91+luX0o9SgPdTgA+ihIl6n3fdFrKt8TS9lVt/X9Vue4uNV76mVHlRgPd6EdWq5t77H9t25MD+3VGnS6vrEYZdJmoxWsduzDFuyYwTQyLTjholMdaMAZsxkJfYOx38U7K5S7RtR3RgBuy8OjEr5JImdU0y9k7wtPucgY4JgiG+HtJJQj74MZ8PfXYTZ5YmMarK9IRi2rdM+IZayty1PH0v0zqVVJqk3nkObt9lL4dRyKHTAd0wYCpIXZws6ZS5ElkW1pZqUiJNs67ZtS1EBQM6YYO+L6hGbqCln8orL5UoOnM9hHqB4FUxN9HjB9/e452vnedDn23zBx+fYbFfp68rVLSipgVVZQli69g8q9GXRXlDlrhbw+SsI1fGHRZGmbwAtxiRK5lEybKfsXXgHiaCvoG+ARJDtRYzMylZXY052z66e2rD7LaLdl173JoYIV8Yxi8K8G7nAtj63IYZ/2P0nvV+4Xt6vO7GDjMTbsKoUkl+LwthkFKRKFdSmSQZiGUOcidLSsDOAS5yQK+fobQlO9DmwB6RJzKtklPpXBWdoFWC70VU/BDfC2kNQh54WvLndzb5+H0zDJIGvu8z4wsmfUPdt9QCS80vwF0JJEEgCVJp4hJDqTORAtz3XObz2DnLvY/VCCOPoG7XBJjZI09zp6WoYaTwPM3rb+zwF1/scuB0nX7FzXsZehY/Bi8yeKFBKel863T6bj7ch2JFTIwkNpJaoNk42ef//tYel28f8tE7Gzy6b4KFfp2B8vE8TUULqhKCbMBSZq9Kmw49pQTy0ZqV8eKsMqPnK3KJwe24PMnzJM51SwxENg0uLfTTkmmUYX6lwn/5s1luvbrO9un93nvec/PHVlZaL+v1ugt/Zwaf21CR7cUDL+9cuG/i1mu7XLzVMjtVYRjGeeOuIEZQkidpP6RRo2WWhd4uHRmwR0CeMkSJwHE9Oo7J85Syycs9ne62aJU4gKsklyNaR7S6Efc/K/jjzze58/EJllsNZLVCo6qY9CxN31DzLDXfUvVJWdsxdzWQVHxFxRdUfNIKPZOC2xB4Tn8rPeTgaTjTqrjESqpvRxMnRf2M64MUqe6UhKFmY1Nw6UV9njkZ04s8humMbz/EgU9lk3WzRA3Isc6csiR0ddquPvw9r+/zpptW+NITHT7yhSaP7muy1KnRkj5dX+MrgS8FgcT1cEq3S50SxU2qRFr2uw6Dr61fKd94o7mNxGaxSAHs2Lqe0MjA0AhC68qmMYn7VzyfA+drdB5SXDLTYzX+0sQb3/T6l19++Z7P8yLDg14U4KZ/Mgi87u9saDxWn/RcZ0iSCLQGKZO0kUG5udTGdYmoHNRpX6SRa4GdsTdFIGnz/5TO3Ig0sZQL9J0sManmNiiZuIH4mZshIxY6Mfc8pvnc/Q0+fe8EF9p1RKWC1/BoapjwXCdP1SOVHVD1RXrItOQ01d2+IMjYOwO4jvH9mIofYm3Elx8POHGuyuy0wJMm1bGiaPQtsV1efppKiv7QY8dGweuv6/HJr4Z0I49+JKh4Fj92LD6MbGmVUrlfjZAjMsXmK2faqGCc314NhrzndX2+4cYlPnVfh8/eX+OepxtcaNXoC5++r9GeQguBJwWelHjCplLLohAlaThqH65D5muDzaz8lkKWOGCn0sSm7/PALAETk7kMQgk6ieDAomL+wZP1V712+DunTp24HOj/nQB+1/1PoMQqOxrH2LbZJw4FQiTp9FJnIVlhMNJgjESZJA0sM9aWo3qbUYBn3SN2jTARowFlCdhCmDSgNYgU4Fon+DqiUokYDBMOnIHjZxV/edcEn3+0yYWVOngVdNOjpiQNz9LQhqpnqXpQ8Ry4K56bSejKTGXpEOmf2xTkJge577n2tCNnDc8cC8Dz0mXellL0YgQFZV2aJGnNdOLGOV+1a8gV27rsP1OjXxHUYkEQpaM20mkAjr0zNyWzIAutkvvsqRVpjEqnD3gMQo9qdch3v3nI225e5Y7HuvzVF2scP1th/5ka4WpAHGgGWiOVm+qrAJ0+Z0yeSxeK4H/8UY6vMlCb9HVc0uBZN5Yhy9cnjrlteqT4sDamFWtaIWg5jx0+Nbn34vd++2LL/tHsxPoVhy8I8HhwWPT6vf/z13/vN2Y/ueTx7W8ecP3uBKUtyrPYWBCFCiNlzhbGqnRcg9OWGZNkNpZFUDQDF13vY51mKRZsSfO5pIaTJCbd5SEhCNwk1ThJmF+Cu76iOXK6yt0PVzmzUuXI2ToEAaqmqWhFXVvq2jgXwXOD8yueG9fmQJwdMj1UCnBSzZ2C20sIPMfe7sYKObYA+47X8OSoPZhLFIp68KL2InVSTNbT6HHFjj6Xbujx7NGYXuzRiARDDX7sZgKqEsClFPkGARmTw5gFl8mgrG8yUUSJx9DzaVZDvvONQ159dZszK22+/IjP0VMBdzxe4+xShaTvYaQm8hVCSrdSpF35kjTjCblsYWwBLpc025Iscc82dVxKbG0tUAI3af1tZCAB4Vmktty0Z8B737xKv/P4ZLvzth/Vavih0sLx9QH853/7AeIk/rbP3h3WD5zYzFee6HHljj633jDgil0hW6YNl+wM8RGYKJMlKgW6dNIkBbQxMrf+cuZGlD5SFlxmAYwdY+6SFFEJXpAQJZajpwTPHFXc9XCNZ4/5PH+sSnsYMAwD8HxU0yNQgpqCmjZUSz5woLM6jaxs1tWFB6ks8X2F78v0BrCF9vYSl1n0nM6v+BHWhJxflgxtgNYSX1p0yWYbI/Ac5Ikd7XcMYw+BZm46RKoB3cijp4VzOqKiYEwrM5KBlJlJDZANO6KQh1lrWTYYyUtUPn6iN/TZNBWyfWPE9RcP6Yd9/sWxFs8e97nroQrPHKtw9GSFKFYQKKxUICSJLGWDysn8MYCPZLfy58wPTpvEybR2CmibNpBHFo1h966IrdMxe3eFvPb6IVfuNFy8WXDw9GEq/T//H3dR/vb2Ozi30FYf+8Kz4syFSUJhePJolacP97jj4SETXsz2bRFX7Q15441Dbrs2BOsSKdWaBeN2ScNIkqhgcVtmbUaDI1c75b68kK5uBGEQ0hKFlt7AMfrx05L/fmdAL1I8+XyFw6cCFrs+w8QH7YPyUE2FLwVVBTVlqSjcODOVFh4px9q+J1zSowxuT+KnsiTwIfBJXROXMve0wffiNCMaUa2EXFhJuOvBBq1OwNSEQKdefFb0JV5o+S7V6iRGMhwqZmcUb7p5wB2P9jnZqtP3pJMpGrzY4kWZZ5167DJxcRDlWScy/x3G6tLvcED3E0WiFbHnxj5EkeesVC+i7ke8+qqYV1w+5B23Djh4SvLUPo9+qPjoXTWOzXsgJL2+JglVVr6J1dnSO2YZjQA884FN/l7EBmEsNp2IUK0leJ7bTe+264a88cYhV14WsmNbzISGmboiTgI63RobGnX6rXNiIG9Wjz/ypfj6m17/9QFcCNg81/zg5nr/mm3NhATNIgEmNiz0JAtJwrHlhAefMXzsroS5qRhrDdftiXjPGwZpfx3MTRiuvSqiXrFufJoVeQ5s7TUX+XCeVk/w1NOapbakWpE8vM/jM/dVGESKQaQ4N+9jhCayHkZ4oDUi0Ggp3Tg4aamkwA6UJVDW1YDr1PPVBXP7WV9mDm6V9miKnL19z+D7WYFWkrO370coFfKVJxSf/GoD5Wtnt43o7xdm8MwLT/LOdMVg4PG2W/p8+oE2H/3yBN24Qj3V4V6mw6MsKWPzbiEhZA4w96tkSeuXAG7S0Q7aMbmnFbHW6DhxQFcJSrlB+lOVmFsui7n5sggrhrz7dT0GkbPx/va+gEf2+VQDwWJb8dSzPu2eTFWSWPcKF0kAl8avVwzXvixidjJxjS+J5T1v6HPtpRHWwtyUYXrKoK0AJEmi6Q99hmFAu1fj3GKThZZ/zbbdkx8EfvDrYvBOp0u9Xmve8+XbL9u2waqnj1him6JeavAAHWOMYmgs51cN51fd1Tp40vKZr7g70SaWiSnDy68JaVRdTfAasT0GcFLXYbWrePQZn3ZLIbV0M1GsdswktNu4R2qQGiklnhQOzNISSIMvHRB8Bb4qZvQ5kIui4UG7RoCs8bgMbsfwaVmtlzF4UjpiAh1hbciZRZ9wWCGYkPhp2lulVXkjWUxBoUttkdHNu9ONIow8phqKi2ZDfDGgHwf0Y0FVuyGYWQ1JltBSslzeKvPf5X5HFg+ZIsliTFreXEijOE7SvIFK9z+KieIEFblcglYJUsZsmzXpimG4fPuA0PaR2tBqCR59RrPac51dYx7vWgvBunrwesXyimsiJqYMNnb/T1UKtMhsY4mJFZEpYrwkUVjr2gATYzh4PFam0rvsn//ztzV7nXa7NjbAcw3AbTRPr6V+ua4OvO7mK8/z0JEu3bMTINLhemhAgrKu6TLXU5YYSytbiqSlvWo595V66Suun4DPl43s4giBybZcIK05FaoIcqRMrawM1GnaWZJu3Jr5xqVnnXbSK9Kt98jB7dq6FH4Kbl+Tl5g6Bk9ZXBv8NDvqeRFBEHFq0fCnd9RB+3hSFAFmLk/EGgYvZ/qyIaEObO4ChpHH+97U51P39Hn+fINu4lGL3aa0rgrQFp04KssJlIK97FzmNSCyVOCVHSavhdFa4SVuXoqXAl3JImnm6sbT18Kkg4MStLAImzBbM/yzVxkQSSozAZHtn7HONS/XGBmFiXQ+kyWJBXHZYRuL3UCgVcxEs8XCkQGfedDnyqXDr9t71elfjuP4h78mg8erfwVIf66xj4tvOMfxhYh7HpHEXh2kSoE2/qHLQKfQW1gSrwTs3Owua7SM3bIvMBq8CCnzFjQlwBMurRwIVy3oSfdeS9KairR7PCsk0pTmoJDuzFZ01RcAl7lsCXybt7T5vikNzonxUvb2dYSUISfmBQvtCkJrAsmIPJHlr1W63GXpMAK81OkIY4+Z5pAdm/rsnx/STzSDBIJE4CUWLx2YpGJyZ6lIoavS3STyU+7s26ybXZSkkUEnhkRJlM62L1dpsVqCVCZdKUxhzaYgF9nvxuTbz2SuVx5PieL6l7368Z8WjlpeDJ3nRUZG8OHiDhX0uf2hKvc8qzjdnWfpD+70jVl7M60BeEM/DQgac/OcWOxzarGKySJlkQG8zL6lf9SWXlhYn7HHHkK4ZTULwIVAUqSI3VQq8ITFEyloUwmQvc5/lpJ9UQpK3mDrK5eg8kbALd2znwE9Cz5TcGfdP9rkEsXTTp/6fkRMxGcfqHJ+oYo3ofDLNRxlB2X0li6YtaSPy0mfwdBNsH3rK7s88PSAdlyhpzXV2BCm6XQli4KorOBMCEPROZQFmoKRFLlJZ6pYXFGcEWgjiJVAJzLdxc7V8sQp0ItkmskTbFKaUuItfS0LcGfW7noFWmsgb8f+1K4jawDS/AcIhBXsnOuxdWKZYycsrfgw1n4NgH/g9z7Br3628Spv8LEbA5nwlccbfPX5JpEKQHkg9DqZufUN9q+J6+zIkgUCVPYsLBpyq02lKWM336TQuCoDtnT7yWejEMrAzuegKFw/4noAzwLOTHfrTJbYVG+P1pL7XoTvhcy3DI8froL20ak80aUCpew8iTGEO31ZqrrLW/lk7olHkcd1lwyZmezTWqnRixU1BV7svotK0hLlqAxwVxNUVDjIsUpNkZaspvVBypAYgWeEK3NWhkQJ4hTk5eK1rBxCZiAvgTormRCYFOSkJc3FxKxCor2IZFlzAxSP7Gay1mARyNjn279hwCVbz3Dvk6tcfx03fu93vuFVtvOR+2Xzu9cH+CCMCPzOP/vzL9Svfez5aaxsYGUAgYeUOt9qzxM2B+X/MLBThZKKkZThbJ4VK8BhcwYfL+HUWW1EWgOelXq65uKsU8XJEpV3rxTAzppvHXunmluT6+3MEnSMXYDby6sTIwQRt98X8MCzDWSg8aVw87fzCsKija6o+BvPZqZFaDmLu0AzMYr+wOPmK/t846s7/MHtDcIkoJtIKollmM5W1+UVQ5hUzpmxG+qFmByMlmnHu8jBnSiJUsYxupTpaIlsxztTAngJ2HK0jKKQKentLIqL/3ehw+zfEtIijUnbIgWbpyXvem3EN73yAl5t+lrTHvwzbHh/+f/NAf70wTPMTTfe9Csf/sJ3HDg7xOhZROCjUpcikwhetiSWKvy+vg9Zel1itjyhQwGGPAWcgbw02iBjbrcFSfaelMHJ27BGWDzthvHUKLjdOIUx5k57Nv20vc3TWcNBXDoiQiL+6stNEhug8uxlOcAs+hozZ2NEgzPWrmekmw6VZMGmRuDxntt6/Nlnh6yaiH5SoZ8IvJicxaW0yFjkRWfOLhyvPZIla1KUQC5IdDqzRKUg1xZlnFxxE8hcBaPLHhczJguLslzdWZQxZztprNHhL8bk62FmpFzDIKUkEQqZKOJEu4pR7WF6qyS6/x3+9LfeHfXfdIdX3TkK8P4wpN0bXNJqDXe3OgnVejXPyHkirSyTJdYVFmG/ToCXC3PKHzxjclG6S8VogJZr8THNmYG+PNtDKVFo8bTibmTYTQpsrUThpOR2oOu4d43JNmXuIsDUJfYOvJDHD0sOna1glYeSEl8a9HidRkmAj7so2ZF3OpVKijNHJYo9dm+JuOLiLl89WCVSPv1YUJFuCxgdi1S+pV04carDkU4ujPxKUWJxUZJGxXTXbCakViYfr6dS6VeAO6sFsmmZQMbk5KtHBu68xGKcycmSel8HdERxY7je2+xGUvlNNpQ+SvZoVHu7Bb1LYHjHGga/cH6FQW9APBwwVYFmYFIv17F1DrhxwI5lZ1/4Qwryuu7SnSxK/+74sq7ymu/Cdiski3Dd86IAtwsyRd4trnNwyxGAl4f/uG57cmDn2cqcuRN87RI7risowhLx11+usbRURQTa+e7lm3BMmozH5GXtXWbVEW/aKKJIMzst+ZbXd3j8cJNhUqGnfKqJ0+JZOauSpODO1op0XHVemOtYnDE9PtJKODLJV6JMtiLZ/LUDshzR4iL93g7Ucg2DF/Xjo5WhOR6+BnhGNfzov5vdXHlnVz9G9RYxSS///3OA/+6HP41SkvMLq2xpSqQqg7F8F5WB+4JOZ8HWpSVp5KZYI1OKO38cJMXkpaIptjxzMAd4zuKZXJEoPQpwX6cDgLxs68A0w6ktXp6KN+nrZOTQynXuPH8CPnZnI2UOlWYvR2/E8Qzm+HUsl5SO6vBUi6dLcJBovuWNA/748z2ePlolUh49KfETk7pHApnY0vmxrr1M2NJvMenvGt23qMzkiQGdW4hu4q9KSwJUYothnelEWpE1KguIx/R4ISlGAZ7PPhxj7xcH+Rjzj+Cx5NJYTe/sMRYX/sKl/csAP3L8DBfv2FL7sf/w27tWlxZoVtKI9UXvrK/9KN8A46ydVwuyNqW9VqKIHDjj45BlibGzIDOb2qR1tslrqr3VGLiz9L2XNSYbNzMkbxHLejrj9IhQXsihM5pO6IPSqTyxY+Wx4zfu6AkbHWg05oWn3ThF4kdT9wSXbR3w9KGQxAT0jU8lcTXbOtXgSriNXF1iKSMTA3nNT3bRyxWerh5G54NN3c+UgUQ6wKt0dwppigkB2XStJOvuzw2AIrjMA8+x6z0O8EKfr4+ovMdrDORjtwDWGBhKJmY277r6ln9V67R+tNeY2OoAfurUOZaXV9+4c9vMTzz++IBGRebjs8qW9ovlI1/oBhjVXWuljZCjQCiALUYYXOZBZnmoZgZyihppVQJ1/jpN8ihSL9yB2wG4GArkleVJmb1V2tfphyx3DP/P3zRY6lcQgefkibQjq0oxOOfFiWBkmkA2JyZncOeoxLGmWdP8yDd3+NLjTZaGPqHU9KXEL23oNeKHl+vpRboRDmAxKbgNFjnmrIiUwW0epGdgV1KkDO4kUZK7KOQypdDhRTthocVTUIsxBl4HIy/2GMFfnlcsTVIzCVObNvzE4vz++6Oo/ylIGfypp58nCHxOnDiZjldQ6QTQYopophvLv+DrQfn4lxiNjEfZLgOGm5NXAntJmmQ+fA5sKZCqGD+mSqDWUqJTSaJzgGea2+RBpadNDm5PZ/UXo+ztqQjfD/nLL3s8d6QK0kNKSZCVxpaszXyP+PRLvmA1IYwmfCwjMiU2Mt3kyeOq3T3e/uo2f/z5CkYH9KVPIEWe9FFSEI0EdKNMLspMXkp/l2tijAJl3apgrHDgzqaEGUjy+SmiAHjp2YFbpBnNcXds1EUZf/+iTFkmWhi5MXNXyEiiMOL8/Bli4xPHbmMIDTDR8KkEARN1j3pFIHUx6zmLtEeHX9oiG/+iFJUtz2IU6MKuGSgz4hnngaUo2DxnyK8FcFkAXJVqqHVal+KRSxFPFW6JVxoOVGhux96edlOrVlqGv/1Kg8VWAJXUPRGlYOwFJEr5+5epaF3bLrMMjcQkmZuimWoqvul1PT79wIClbkCoNP1EpvakSN0bUTRjyzwJngPb2qLrx+RsXgBFZ9dbpa/TOe9GuqnA2Xkvg1xIUeq+z4Z4ptJkRI+LMbki1ge4sOsnfvJzVsQP5clpiREMBoZa6BMmAXHs/g199MgRpqendj708KM/2lpdoFHz3A4Eqgg+iqmhRYKizOjl01i2A7MixDWOy7pDM8Wa9xmTK0E+Ny/vKC/N/i53uLjh7oyCO9vZIGNuVWLuNQyejZsoRk5o5TKXx44LDp6oYAgQUufNuUX1YDl+ECVXo7iS5VqUgslFSZ6I3MnI280SDVazd0fI7s0DlvZXsYnvWDxxMkWXXJyCPcuFXqngzspoIV2aRSn4xM1uT4Fejm2USTc2kKTaO7suBRnl4DYinaWSaXIxJlXK56WMm5LvXJ6NM7Laibxhu7zLRJwIhpHPyVMLTM5e/qN7r7z5yWPHjhzXYZTQ6w02xbF50+rKMtWKRxxbtyTlU/mzWYIl2TK2bKy3suSvy5ZgidXKqewsKTIqT0TJmRClYLMAtGNw0lHAZR+8fKRbWqsyuEsgT/er99LS0Iy9Vfpe6wilIj771QaHFqvgF/LEK1mXayXXi69wo2POiuo5U97dLCujDTUXz4a89eYejzxfA+MRJ06Le0ma3U1GpVLBnIUtlwWe7lqKItjMXsv0tUxXFZkd7twn6YohRcrqJlthbYmobOkmL+c3LGtW8xEb8IWYuzSWO/2s+bz5bB+gxO0/2muvAOZNJhluEiTHdRbhKwV+2nsnhEEkKbDSDTsTYfPlIb+b+FpOi8jBXrD3WlBn78cDtAzQYh1g52yuRKkJtwTudD5hsW0Ha4GtiwFB+Yg3bVKQx06eqIhqLeSrBxSf+kqd/sCHmkan2d2yNBn//OXvui7Ac5CXZIodS/ikII9izURD847XDvj8Az0ePuBj6x79JMAX5Deayn9/oYNHvSwH8nLS3AWf6Q2mHJsn0ulxU2LtLKg32W4eRpT0tygFuoV5kL2GNPHFaPBJSaqud37GR8KVa+hNOscwSWcZxsnoJrOJAZ2YmDh2HTlaS6SUuc0jYvdBjHF3amYrmawrI6s5fiEGX1eejIJ6hLnHXudSRBSglqq0e4MSaW1KAe4C5FnZrEXrYoSyTjdh0moU6F7O1u5QygWYvh8ShQmff7DG8ydr4HkIqVJQpXNDSsGlkKMsvub7ZxctY800nrGlTKYDucy1eGYXhqHm8u0xb35ll6eOVxnGPon06BuFnzD2WTIvnDEGd8927LOgMgAZjBKojMykwCpX+p/p8XxFlSBNaZahKVaNfOybAGHGVu91CO+FEF6Wc4WSGAV4tj1hFOOOKCEKI6IwRt9/z51orWi12tQqTn+7D+FSvSIBI9yGrsZabLaEjQSdpU9T+rRl52Q8cznC3GXWzgLLkQCz2IGgkCYlqzBn7AzgxeTUXKKkzO0Y2+ZMrfPn4rWXBpdaRQR+yLMnBHc8UKPX96HuIUVWOUjJHlwni1n6nqXbPq9FcedMMDpIfizhUyrACiOPRiPkzbcM+fQ9A546GoD2GRiJn2pxZdwmu4VMcNeQFHgkZbAXwLbWrXy5dJGOzbNVJQvyjXVgl6ZItAlTdlPSa2kKZh+NrdzvXwPwcZCXHLvxOpq8C8rgtigsgTs2iocfeZxnnjuAMQbdaS0hpSAMYyqBJErKl8MlB5IMmKUdGDLmYZ2LtyaAKEXMhVwZ/eLFXV/eTmOcwZ3eLmczlUorDNOKQtfOlb7W5fngY+BODy+bQpsW+GsVu0NHeF5EbBNuv7/Kvc9WoaJBuoZmr1TCO1IaWz7Kb9YjqDF3yqZjpbNm5MRmc00KoA8HHrde1eOtr+rx3IkKcexhhaIvNF5C/plEUrC4WHN1Rpm8PMReqdSlkI7N3XuBNCLX4bnfnzF6ttqmDF6w99g1LgWca1ncrjHlnEQpNW3AyOZmsSnAHcYQRW4TrpXVFu1OD2st2vPSbmzrusdlXIropUBmLG3SvdZtepd/LXkyxtoZ0NcAvNTWVd5ZYATYI1KlnKYvHemOBQXQS4cuNkHNAO2VQJ05J84xcc9KRfhexJPHJR/7cgPwQXoIofIuIpWmrctZ15y1yytZHo2ULmEGKsrMXdLgVmASkQ4xFaV94jXWat5zW5+7Hhzw6BE3SSAyil4i0oKvFHRJZseVyiRG4ONWDxSjQHfEnt6EFiPT/XyyIC/T3jJlc+Ge8xU3kyT5qL3shh9t38tLakURr61HAgWTlwZ3GtK9OdOZ4rF1WyhGCb7QTlpb0M1aghCCODJILN1BSvtC5NEx1jFqNrF/rYVTmITrae/8C5TchdGlqwTs9BAlzzsDeD4nrwzytDWt2GzKpmDPBuAX4B5h7dJz1libSRWlYjwvJkpi7n64yjOHq+B5IF1w6QtbmhxbDqxGN3EaJe9RaNnSi7wBYsTjLQWbiZvW60ppNcPQ48rdA259uWPxfuJYfCh8BgZ0IorAL8nsQpdJLCSK+wCuRcyOaF2nvcEqi7QCZXHZT+s6aawAaUUhVUrO14j2Fpl8KQF+hL3FGhJcF+QlQihvd2Py1c65fWFk6PUTwtglK6016K0bQqQQhFHE0kpClCg6feESARn7pMuRLRn0diSdKUc+TsFeYynrNdJk1DEZ3SNmrP5EkO+9k+9enDXfjjQ8FFuXKDUG7tJQ/Nw9UQlKlwCeShRfRxw6J/jI5xsMIw9qXipPyFvTVHmX4LJzMmIXja27I8QwmnbOWao0rNTY9bS4ph5IvuvNPW6/t86BM+7mS4yilyhXZZikyR+E099JOpZjbCXJyKkMcJmt0tZJQmtdMGmlu0ZWCgdwI4pYKWNyUzhioxKUfBJWuVS67Da9eHp8zMFLs+vlUuQwsiy3DVZYtGecRLnl1d+0sbv6/E8vnfsKEzVYak3T7VfczrO2VDMgcXdv6fyM92eI9FYclShlk18UXy53S8To+xzkBVuPF1nJUu2Hytm7BGyZBZej4M5m+xV6O30tTaG90+AytDGf+HKdJw9VXbuP0CjhMpc6rcEuNxeXZQqli/qijxENXliFNnVRrHE7ZYxMwDISYzThwOO6S/t8821dfuPPffpGg9FEQtI3LkaQJtXgSSYTHNhTuOSgcXokzSBa972scquKsmBT79vaAvwZuKVNyciOrmKZZClLNzO2uo3bqCO9ueMMnr0eMzekcKXPSkrOr1gOLhi6w5BvecsNP/3K6y/9AX3m/P7JpeVzb/n0l1o8cWCWuUqML0N8X5YAWJ7uv/aXjgK8JE8QY3erWEeSlDV4utSVgTNSB25HtHcO9JIkUSXtrfKdHkobUSk7JkmySsEkB7enIw6elfzFl2q4+SuOvfPO/ez3C0bGCxcteKOBpii/KSXIRnSvKdeGFHMFbTqhNx9LnSgSlWrxRPOtr+/xybtr7DvtgQyxQjJIPDRpvUh2rpP0iiVZ4ifj75J0SmMri2tJzD6bTEElLUjrZEsGYmnd77Am9ceNkzdmjXtCUVw3YjaMYUaUsPQCIC8/shbGwLPcfJXhTa9a4cHnugTejrecOMOk/ssvepw60+COezYyEQTIGZiZcNGzUGNBwchvHWNvMfYnJd2dD4ccAfl4UmdUv41sMZ0mE8r7yBQavNgqMGNxNQZuN5HVpM/ODlTKoDK/W8UoGaNSBk9UzGfur7PvUKG9pZDO+847aNYyVDmDWbwXa87WCCNl+rvMTkaMJXxc57tJZLGDRipVLr9kyNte1eXIXwSEiQKhSYSmLwQ6Se07skA3c1RE6VPY/DNmstNagbJZTYiTJjmbZ4ewRYpfgJEO+EYUFmJZiubsbRgBvlgH3GuxNoY2MUoeWrmOrLlJyUUb61yyMaYyGeFX++gATV1ptjUVkw23m5iUxW006gqM2X/lEGrkw4n8Z9n/P/KesURA+VmOA7xg7ex9xtoZ2DPmzoGuykxe6G6VBZGyJE1kMTRfqQTPizh6TvHbn2gykB7ZBK2iaz5dQco10GVJ8kIUNM5IWYIlT5M7uizPUi8CTZnXimfgTowmTjyCJOaH39nlb+6uceSsBhWlUsWjLwQqkyepHs+DzTGQZ968BXR2w6U/kzaVKNiUtTNP3IywuU1/j3Pf7OjKPG4sZKdqDKzjJDlyKrObIXNsIJd5xkC3rzh1vkHgabbUm3imhp6qC8KmYNO0264jmxuiVMnRGAP5iwE8Z61xaZL+f+PAHgd5vmnTGGtniZRRcJtCoshRBtcj/nams8v6u3RIx+KeDmmHhj/4dJMzFwJQOrUGZSpP7IjvXbT0rc9K4/tMrgt0SlIlbzwo92hmKXyZH3kzhFQksWbr3JDvf3uHX/qITytyU4+slQyNcrZhkn0OC4mgiJ4KkBf/dX+i0rvQWnLmVllmMwtApS0Y3JaunXV6ez3tvdZKHZMqY+drPVYf+TsWRCIII7AowkiCtfhNn9B66Im6JhxoZiY9tNKppCjqPrKgIQsW12XxcS0lxtyS7EONeKLrM3cG7KK52JaCTZsHllnja+Z/50yuTcroJpcmTo6YklTJGDvOn7WK0EHEx28P+P2/bjI0npMnQuXyJG8qHrPERnR3/t1HLtMLsnh2kQqrsAz6LGXvdtDIspt5Ct+4rcArOuYH393l4AmfD33GaXFQJEIyMK53UybkDF4UYGWoKYzesl3pQF1IFmtTNhdF4VN2jUS292np3FhRqktPSc6M4aBg8LWWoSgtMkIwMlAtu3Gy+CCxrh6lD4SRotFSJEKhZ6cEJJKZSY8oUdh0/JVIEytkS0HJHXkhQJc/XBnIZVdhXVmSg8Wu0d1FkJlu0V3eMlAVxU5KmZJUycBcYnJZVAfmujt/drMGl1fgb75UY2WYgdsBPJsFo8WoPBlZdTK77AWW1hHGtgW4c0eg5KAU8sTp8XKnT14nLiXKKIzRxIlmwk945xt6fPL+GksdBTICo4hweny8unAsgnpBJnd5oCIplNWnqDTYJGVxB+gSe9vRVdqdK5snFW0JxKPNGaOSduR5DH9CpMF4Sd5YK2h3LRMrCQkJuuKHBH6Mp11XdD7+Sqy9QC8EZjH2S8V64Ia8CH88qCynd0e2ryvXeOSBZbnBYDSozIbTFOBORgLMLMjM9rnRJfb2ajG3f6XCw89UMSXt7ZoaMnkyWm8iS1Vx693MZSt8fRJP2bNkFZa3wS43Q9hy0Gklyha+eJx4aBPziqtCvvGmHn/6WR9UCEJihWBoNEoItwVJFmiW6HFcrlDywVXWI5HZh1ntjBRu2oJ1N7exo3tr2gzoJUlqU5kkhEj1OjmZFqvfKHG+GO5GHTv3H2shig1RHBEmIfrgScvKimG1Y2jWKQLM8qMc9o/dTeP6KWPvEWCvYe9S10kJMGJk9okdc09K23SXAC6VRacjxqRMHRNpU11dkiSZYyJLEkU69yTwIo6clHzk9gbzHd/tdy3doHclKHZsWGf1GT3ECODH2Xu901rO0q3XjFwONm25CCtx++e4Z7f9ycZ6wnd/Y5f7nwk4cl6CiACFQTIQsrSJlLsGGahzG7N8w5X5PM9mptehzObCvRbC+eU2LdazqQyxNpMTltGq0YwcBMJaMrfNYaooyMoBnZ6o/LUdraxxn94ZJJMNya6tkrk5ifa0h6c8fCXxPQeu4i4eXULXBfkYc7MOqIs/X99eG6nEKzH2OHOvAXk+I3v8dZJr7zyhk40DVjFKJujUFvT9iGFi+N2/bHLv41XX2ya1095Suq4dUcxfyZsJss83vmqNMXn5lJWxvjaDWbgWxR7v5fLZchmtazczmaOSGGKpUbHm1utDfuA9bX7ud32GsXSNqEYSp66KNKL02TIglS6udS1pZQy496IUG6Td9WkSyKQsbnFAlmnvgMl6N0tAtXI9XJCnCAoMvUhbW/ZRS+cu03xSumbqMPIYhj56ZkKhjKQ1KQgCt3yZdO/CbCDMC86tfxFZMuosjE2tKkuTF2Pv0v7zLlU/Jk+kzX/mts02JYlSPjL2TtKBknHO4J4f8+VHPT55b41h6EFV59o7Z+88sF2buRy3v8o3v6AIttej71KMWRSvjYAbrEoZ3YiRWvHESKRxUiUDehxrqrWYd97a5857+9z1qHK2IRKEJBKafkY+OecVBVmQ1qCMaXJ3lOpSpHtvBaj0+2WfW6byw0qbt1eaks7OGD3DAuuBPUX16KazIj9bZXIw1qYDjEjltcGYmMUVg1AWPVE3yMTQnkrc3DdTqq1NBIkYDYpG8D3O3mN3pBu1RX4HF5KkVKs8Bmwh0qhclhyLfBZhMWFJiZL2ziehmvx1ztrZoQpw6xTcvhex2rXcfn+NA+cqTpoIVxIrMu0tKE2QsmvAna9C+fkQJaC/iD4psVCWIh8pny1LlbHEz3i9uJQKaRKk0URDzZ5NEd/46i4P7/NphWn61Tg9HqLI9oGQpN74msWelLFdcie/IaUDV9EMkbF5KlVyBk9ryIVNGbtoY7O5q5IytiyRhLVrcFTG2ejql9mplthY4tgdibEMw5jVToxfTdCT9QRtYwbTIcYK+kNJfyjd18/ukrGvnzP1Ouy9HmOPRtHruSblbblHGTwDs1SZD14ElzIHcAnkciygzBI5ZRdFuk55Q8KffLbK73+igRXa+d4j7E2hveU6n3ssoCyW0xfYVm+MvUdKQRkDdc7ka1vZsp3sjDGYRGKk88WVNESJh1SGH3xHj8NnPX7/k5ooLkBuEAyFRJlskEQK7nJrWw5q4ewQ3CKQw1+kKf2czdPMZqrxbXotbQno2U1QzExJb6ssISSL4DcjR5FqFtfKOcqwWdl2koJ7GBr6Q8Mwgm4/YbVrqDYMulnvU9Fd/GSVMK6x3KqwsOozjKRbONNfMF4vUA4s3QcbHVcwHlCuAbYsA740eiwfDVYAOp9oKtY6JjIDtxqXJ6N71qt07xmnwSM8P+LwvOSTd9fpdj2oqrXsndd8F6tOOcEjSudi/HUWJH0tDi9thlGSA5kWL+aWuC5ykXa9Z/X6GdAlRjotLqUmihIa9Zh3vLbH5++rcvhcmn51A6pJhKBf/qTZBbYF2G0O6rStjlKNeCZJZDFdofgZIy7JCNClTRNABdDJ7MQUzFKUM8OO1TP7sZxbKDfcGJs2OnRgqQvLHdjVsvgNi14ZQms15sKFVS7e0mfCTHFhxXeNm/mmrV8nsEcCTDvC4GXmK/vdZbBnWjwb5lgOLsuJHSnKg9kz58SMbLchS7JEytQxSZlc65hhZLjzoTpfeiKtFpRuwP84e2e2pRJiVFrl33O0qCjDjfhayB5bckeAXjqMSbOH+Y7RMtWdKYObQo8nQqISiRGKaKh5w7Uhb3hFn1Of8xgap8PTSihiNEPh5IY0aQgphFsuRLH7tMqXocxRcfeKFeTAt5nuJnNNHCilTGvH02teOCwF0DP9ngea6TkdIUfnL6bl2rmGIBs0pNPC/JWBoW1Ctm3vctFFho0bJPq5+ctX731Ifv6Or2z556+6usPFsyKtRCui7RGWyoE8BuAxTV32vkfvyheQJaXRX2tYOwe6KTR4afeBcf2t8vR7UnodI6Xr1JF+zD2P+nzgwxMkVhfOiVQIId0cdFGk5UcZvBw/rM/eX0cSs0B2xoBrZIodkSvZLBBX5C/SHtkxTS6dNy6MJo4Nvp/wk9/T5sBpzT2PSIwvUsi6LxAZRZ/RAK6QJeto8twLT5Nv2eeVNmXwgrmzQDRj8zJgc6BnHT951nsU6EWZSLlIrHSu08Zzz5M065ad24ds37zEbdcZtu0Sn/dqc6tqsbuhu3R+6YjG/4Ejx31WVn187SZErSmWGcswllvHxouiyuWsI2l2Vfw954KUakny3cPs6M9GDlMUVL0AuMtSRY8kdFyv5ellwQc+MsH9T9TdpjzStaMhPbQUVCUEknSTq9Hm4rVH2gCdD8kZHUak0nYvqcYapku6vngvSqUKoyUB5fNeJpFyw8Wa3RYszM7EBNry8NM+q305ttTIfIp4UXGY6t4R4Jfv1q+1NIliMFVJepVtxuL+Fvk9lc0/WZ8Zyp1iRX2UlG4zg0og2TQjuekyyxU7NJYZWivt716e339Az9TdlP6mn7C5YZioKwRuUmk2lkFmyzGjzJ3Xj4yMPS714YlRlh59PeYnizJrr5Umckxz5yy+3qHKgWVaCpu+TvyEj3x6gk99pY6tpJtqSae/hZAj/ZZFf+OLdMznq1WmTda95mtcADv2PmPygtVHu+3HO3yMtCNa3FpT1KgIhTSGRGhkP+Gdr+vz/FGPX/5DTRjEJbNZYI3HMK2dEak8IXHC2JLVh7tPmckQVZIwGThtJlvS8lwy2ZLqZ1vChc2JM9PXaXCaBppZswQyBTTWTVcsaf2sENCB3Enps4sB3b5kckLj+xpjLHrLrHIta6FhMFRUAonW0l2Q0gnPNOfoyK4ScMusUg4aR9hlnURJPsR8HOTlrTIyN8WkvnexIVLO4DIpOSllcCfIUu3JXY8EfPhzdQZJOgVfZNag28TUF3ZEe6+bmi8DnTLgx+SKGEP5uirFISTzntdkNLFrSmitLGU2ZclZEcp5wjItzpKGxGgCz/A9b+3y4FM+dz3h7MLMG0cKjNUMjSusyyuozJhMKSWAMv87B30Z5BJXdJXq41yy5EAvrv040GU5C4rL9QvhPo9IqT77N3JHL/2IcQK9gSROPLphgNae68mcbDiAD4cGKSSeVm4AkBoNnsY96zw4LNeLjNiApUn8chwc5WxlCvDySN4yuEWxm4Aa0eFlcI9JlHzj0uyIUTqiN4Rf/KMJjp4JsLrYLXlUexebW62b2GEtiEuxZQFkUb4C64N8ZFpvxiclPW7W1eNra1OMTCsO5SiLi8QghEaGhou3RvzM97Z48McDOoP0y5j8Q5KgGeQyYS3IHXALUGc3p0rBmQHb5iBOrUPp7EjrbilnDZrCShQisw9Tlk+BniWLihyK2yEu1/p5Uszt/RlFgoEQRLGgF4rUhpToWm0SqRTIDoPhAN9L90qUa4fOjwB6rKxVlNhOiEJqiDEWL8BvGZErJfcky1q6XXUzH7wE7BT0efJmJJlT2p033YJa64g4gd/6eIMn9lec5y0z5i6cE0+UB2kW9mD5Js+/4xhzux9k5aEvOARhLZOPOSdFA0RhhTkw27XVhsIxeB50ZoyeSIxIj0Q5qWIM1+2N+JF3tfj1v5wkTCQQp1LF6YsExdBkWnwdJk+FsBKlLKdwG/TaMptnrWuln2dAzs5hLl8yBk9vBEk2WE4U8/uzDV5lKqMoPpox1o1uk0Dk4pnN0w2azTpJkqDf8Y5/Rr1W59nnnuOOL3werbPB8dmMkdEgcrw2e42+Ljsk40PR10gUu+bvlHfxynYOG2Xu7HVSeOGqvN30KHNrFaMrCV98KOBDH2/Q6nvOA0w9b4RCCJGztxaj7C3kqA4fybyVwJ0FZQV8Rf5ejAN6jLXX4H0E6JZyAqhg7XQqbCZJ8rHL1k0iM5JEKqQ1rl4lVjQrhu97d4/Hngu486sKaqLIpaeoiY1kkK82BcgtwrklJsta2iJtL0GalM1ziVIUW5UZvSxNbAnsIpuaNiZbbHpyy6NJoCiRTZI0oI7dGY9twu4917Lnsivo93po3/fwAw/fU/kmqW78wtqhOrnDUSp4eqEM5Gjmsgx4O6K/xYjuJmftEf0tDKM2YcHcUhW2oEz1dlYlKGWM1DH7j2t++2NNDi/57oulfrd7ljl7r2kmHg8qGWNuSsDOwE5OdOs/Mlk7VovCmO4uqgxL8wvHPXK7TiGWNfmmsiKTKsIipEZGlt3TMT/8LR2Oz2sOnRFYXRZYAqSXg1yUQG4zJhc2ZVU3gValGyVkToS7AWxeZ5IxdR4g5iu6yO8tOXIzuJnjNlUNmS9fZF1Lyi8753FpqxZr3YqsPaTS6HoFagFM1GGi7myqbOywUmttvWxMQ2EVjjFySa4UKe1MZ2dMaMe0+VrWHg04SyyeFVUJU2LyUqGVLKSJH8TMtwS/+IdNPvnlGtZTRTo+lSbrsbcqf+5xkJfAXU7qiPETXwb5GI2PsPYY2LOfra1JKevwDNDlADTr/JF5RZ97nQafiSHG4EnnqrSGkp/4NcX5VQFBmckFbsaKZCBSIGPTwLRIAjlwuy+cMbvKQSywwhYsXpIjrhyKAg+2cFtkLm9sytoid2ZsfiLdq6R8nilA3u0ltHuGYQj90CInGjA9pefrVe6YmZkEzMhc7WywpZaj4xjyMQ1yPH1eHFplafRR31qWyltlHiCObhm9rs9dqhgsp+PLromUDtyejgkxfOaBKl98pJbWmmSWoEwZPGNvSs3EpVR8+XmcuUtaPDv3YgzIOeDX0yJjcmXNnEJnyBaBW6mNLHNQyno8MVkpbSm1byXGqvRn7nUca4SVvPGmAW97ZQ9fxG6UmYnBFoe1htjAwMDQCCIDkRFEFuJ04HyczQc0xQi1xGZbEYp8QOaaP7Pp7Pls/ryx+c9HtjNMbPp3Su/TKVbuzyxx+uxqUhImJqcYRuKOMNHzg1Cg3v+B3+TVr7x1dRjJ1SiMv73dWsT3VD6h1e1rY3I2z0YTl+eR5KwuRxM1UpVrSUryJv//TbEKjGQny3+v7HGX32fVgU6aFDLFzTlJpOHT91b5T783wbH5IG1iKBI6SI2QgkBCRbpB9lqkN3L23corlypugGKkXLGtivu5JN9WRYwO6XeTuuSagF3I0fdFbqGca7Ajq8iILy9tWuhvS5nj0b87EicIt+xPNxMuvyTm1AXFoZPaJXzyuzF77SxFk96pa12i0Tu88MxHxET+7457/2VpVqxca/+u+8GoGzUergsgjGJ27drFxtnJf3fm1PGH3nDbq9wePb1wiLaWyET5yOFixnZpclQJyOUU+hpHpOSUFBektNVz2R4UhTQpv873RU8dlBGZIpPcRZGy6M7Jak48L+HYouRDn6hz4EgADZVLEpfY0WvZexw02WtYK09KwWaRZRsNKMW6TF5clnWDSwRuGH2J3UsuisyrEEfT91K4TZicLHEBqMiYXcjU3XFSRVhLYjTR0LJ3d8T3vLPDI8/4HF8oLVV50AnWKGIpU12RriiSwrJDpHZgmro3mX4ujZ4wo4Flbgdm0oVyYFrUjFsh0pJcxkp1bWk4aHEukyTBmi7YFlDahKo6uwffr6DbCYk9iZIm3xnBSRFGmg3GM42jDQulVHEpkFwbZJb3VzQj4C40eAFqKUxJgyfp+1SaiPRI2Xu5I/iNP2ty9xOVokowy1hm4JZOepZrTso9lkqUWXCtLbgG+OPkNvJi/cd6DDZSVWjL8iVNdZtU36azAa0ogb+U6RTCuSnC2PS1StvGJAKFEYakZ3jdtUP+9fva/Oc/mmSlX7gpaXF3Dvg4Y+Eyc6dALweXSpB75lYU1mFZj5vU9zallcnAqF5PXRf3c5HPY7Eiu9ELhyl71CoeL7tqG6+4aQ/d3iC7R6E5uYkrXn75nTJa+cDURJDO0B7d7sPPx56VB1mmEqU8QaosM8r6u9xhM6LVx+q51WgiR5aOPGO5TqWgTOtNBsLyu5+o84cfb9CJPLcUZcyduiZCuDHDWbdO5pqoMnBZm70cYeoMzOVAstRm9XXge4TJR1vWxnzx8t8ZSfiM7a+T/azciW9lqb3Ndf4YW+zB2dDwA+/u8IPv7FA1MZjE6fFMk+fa3GnyoXW6PLROl8fpc5Jq8Tjf28np8Dj9s9Gtwl9Yp2e6PnudJBAnljjJXpPux2OJY/ccxYYoSrD4HD7e+kBt8vo7N2zZDKTVkH/427/KLZc1Ik8NL1Ui+ibJEM/LRg+XRxKnsqUUWOqM4Uv6O7f4VMrIeSdO9veKPy+3namS161HSl9tDmgx4pyUPG8Vg2d45rDPf/nwBCcvBGkqPtPcXuqguMxtRZJu4prp7kJ766yITJQKofLX48VSIv/5yAxzkU1eTbW3LGon1uhtWdq2RWSZYvK/O6K98/+nkINFdV35hizvVelYHMY2hUrvmopv2DCVcP+zHucXJFbCGo2dafKSzi7bRGk5N1ndX6Gy3C8rM60du7HJburSjT+ydWVpJcOKfM/mYuc/QZIYvKDCYGD+7I677n7gTd/wjoLBAW565Vu45da3s2Pnxfg6pOIbgvIeNqUNmso7I4yMahhzPApmLgWRYyl2ORJEmlHmTl0TPWIFpn53CuzMNVFewnNHfX7kA1M8cyjAerKQJTmDy5ItWNScjO/UsJ41uJ5MGe+3LM3VXStXvh4aX+fir9fClu2VNLKJa6lvM59OmyV/Mha3pQaJdOREYjUmVFxzScQHf2KVK3cPIUock5dclYLJLYmFYcrmoRGEBiIrCFPGjspsbhzj5tv9jbN4WkcS538++nfi9P+PU7MnSp2TKHYfM4zd2ORuP+bSSy/l29/7Lt71zm/Kz6fOXkxMTOL5VRp1n0qQ4GmZ62Y1EgyWMpMjwWSp9gTW/ix7P6LRx4LNvO7EpFq98LtlytgFsI0DtozRnqFjJb/ziRpPPheQ5MmcsvZ2U0HywFKUM5SjnfxZ4D8+d3DNWIgx0DP2+mshfJzVygi35T7NkZ+XLMTxmnHrxhkbKxBGYIQrmjOZHsemP5Pp+VcIY0kwaGG57ooh/8c7uvzkr3t0YgEea7e7l27hN0iGaWDo5x45IAUqTUyptONHpn2brkpQ5NLPjBFHaqszOpR1rO/AMrJVSlZmHA4tnq4wNzNLJ+itBbinNZ4ODjdqlSMTzcruOBqmS2QZhIwEh+MgzgvTxYsAXIz/O1mAaUquiikFmxmwTQnYJs9Wai+mZwQf+mSdj32xzlDpAtCinLV0Fp0nii33snqT8azlC1YKloPJkcBSFKv4Osv310neJSfFvRtJ22f4WsPoWQC6fjJI5uW1BmGl64G0zk1xAahCWENiLH5s+ZY39Nh3QvOhTzToRrgTti7IwSKJss9tBEZatCkVT5nMmRLpThAuQCx380hGYxxZAnpOKpQK/MpSzmQZ0IRqtU5QrR0JAv/wYBiuBXhzahuHnv3sHdpvfrRan/uZXusYnqfJRzYIuz6gBXmNOOUPm2m/vJl07Y2RsbQcf11yTaRIdbdKkCIpwC2cPdgJBR+6vc5/+cMJLqx4Dr1l5s7liSixd9qVnzP46AkuM0dqFqyfol+PwUf+7tchUMYCyozZR6RKqlGLv5uxdTFiIndUjMgLvmRahEXmrGQ9tkgHbFECubEkWDbNxPz097bAwoc/06ATCRepZXS7Dsjj9EdJOnjfpKSRNRlnQXzmnohsCpZwe/kV59WOntPysxljdoqYxCSG3bvmmJ5qfPQzX7jvju967zeuBbj7sD7I6me14u2VQF3r6qntGnCSARZSj7X888LpXXsTlEtozQizj4K9JEtSUBfgLjS4rFg+9dka7/+DJvMr2oFb6jW6u+x55xWDpeBxpAgsA/Q4c5d87tECq/JRCsr+Do/RQitGpEoO/DWpe9KCKxDW+d+yxODZzxzwMwYHYUxqGaYAT8PDKLRsnkr46e9rs9SWfPT2BlSy+pN0CaH82k2yTUSWVneD8L10BZK4WSqZxy3T2GWUVEod9em5WA/oMEY8UiASi689EPLJqWb1s+3uYOScjgB8z1XfwFP3/OT9VV88qq25VtjIEWHG0BmoGQe0zelLpFpM5H9nlOXFGLBHQV4AW4ii5kSkvrcSaSpeJKjAcPi05k9vr3NuwYdKWY6MShORam4vDyhtwQA5G5Rlil0D3rGib0SZyosvX9D41wHmFwU6ReFVtjflmt5NSpo8850zaZIyus2ebbp9d1qrIqzMPXJXgqpysMehZfNswvv+WY8Hn/I5csaHICkBO/2gxuLuFhffGCQhqS0o3EwdnWlt0gbnXEuX2VqMgDk/3ZkqGDm95f1V0z+XmvMr4aP/XEs5YQAAMFhJREFUz0fuuv/Tf/JzLwxwgObUdkAyaLexcRuZ0prILoqFUaIaq/DCll6XwCLcyRiVOtbdPCVpkutyaVAZe2eMnSV0fMORs5r/8MFJvvxYxTVQynFJUjB4rr0z9h4D9LrFVGU9Lkfly3qVhGXXZFSmjLLQeIq6CDSLIfjZaR0FcmlEg7W5m5LJlNF5KqPsnR9pAkgY1wzgEkHF6mqsSmuvLWZgef0NA37hR1r87AcnOHrOd0FnBvJsqVtzc5YkC26scTZ2OgO6tMV5c/+MLU5a6SWi7EwV5y87PyI9L41mlb2Xbicxa2ljDcA37ngrQuhw+eR5kv5pLApj5Ej5ZnYhx5loDXHlHmwJ7CVftnBWSs6JGNXfsixJRILyDMcvaP7j70zwsTtrhCKtDFsH2KSab7TOe71KwfFaj5Kuzj/7KLOIMpJHX67/KP/h2HXIpUmZREaeSyWz2fsRYLvZIIUOT9vFUg1eZDwzsMtUprjCXCNSNidlcuGmRVV0zHu+oUdi4Gd/a4ITF4IC5NiSTMkOlYJEYoQgEq7qLwY0Am3T856RRQZmIUZmf7/QoxyXGAuxhSgWXL9tM9/3HW8Owyjhv/7c1wC4X5lD+xM//lxv9xUN89Trpqs9EuMXDJGe4NGL88KXtrxfeqHVC81dAL3M4k5rixKDK5GgtOHEguYnf3OCj99VI5RqLFM5frjAMhten29m9QJHEQy/gO+ds7FYw9RkEi615v5ODzvO2GN14GTVhE5vZ3v7FO/Ljgo5oDPbEARSyDzVL/JCD5tqc/dLRMricezyIO99cx+t4Kd+Y5ITC/4oanKZUpIrIr/iboc4mfrdIpUpMBbvZL5RiaJF2rEzBmrIAlpIkpi9F1ne9cZNX9l7ybYfX17trjmlawDuBZP83p/f0RZsOrBncvI1M9t7ytNRzhRuKc3DyFwDZqDP/w4lPTUSmKbOirAICr+70OHJiAbPwC1UwtllzU//1gQfv7NGmM2jyAuoRoPKMntnjokSdo08KYLg0Uo8sr9XBjL5tSvdweWnEt3/j6Dcjjz9/9v78ni7qvre71p7OPO95065uTfJzTyRhEBihIQwKbQKFWkfSivWftpXrVKtUqtV2z6wrQq2TtSWp31q1b6qFSgPEAoR5WGQSRkiUyYyQpKbmzvfe4a911rvjzXufc69SSAQoG99Pueec/bZ95x99vmu3/7+vr9h2ceuTu46mFpITNEUDo0zYkFvOLjjeCqlRYNccCHLxIh8EwJPTlYhQeSD4bI3VxAz4M//oYyDQ4G0FNN+IQrdNkhwyce5kBZdA9sETBV2NJh1ghbXk96cgyR/8wQwf2aeven00raDu+4Y61lw8dEBDgCMEbQXhq5c2ldYFwb8NIIIrr6qAW3zJiSnE6rc2Vh6FwvKUqMpTXEcSyIaLDf1OOKA4H/dVsCNdyvLTekUnNs6lraQwVnD3fXmHcnJOMJowrcdeSoZ3CEJC56Mah47tpuBGSlLDgMEkbL0ylLDcnPL05Hk4rCg1txbUhdpyQmXRQhcCBDuqdpISTt8cLzj1yrYtjvAdd8qIQZgO3NOBW79WNZ8CkLAUpPaKI+J2S1SJ8JtcawT5Dl8+Dgy1vqrHfsmr1w+r9D0/DYF+AfefQEG93yRxXyOeOiJbVg1v4pyUa6ZDqeCxISEoesD5Ql0rbz5wY2i4sqF3AZ6jOXWgFe6t8cBn2DTz7P4waY8ahrcab6t2yAQ2bkpqXk3595mib2mNCQJaBe4JGG1U3BOIftodi4B9KSPmVRMEjycmEmRXIJQ0RYVbJFgFtaKc52zTQywDdC10ymkwsKNsiJ/O8EFQghcfuEkfvGsj7sfyMv5RtPfyFpumfcqnO3qSu9cBi2w9Ze3AIbg6jlTj2FeKxdrWLeEYNWqdeK2hyrs3PPecewAB4Ba7vdRj+p4dNcAVsy7H7liVR0AgWCycjuKPTDmqVV5db6xBb/5zkY+dACuLTjlkqo4QR0JfMm5iQ/cvjmLj1/fgmd2h1Ix0cBGc95NaSO4daagrdYRTsZgyrlMgDjdPkOREcdqpylM4wQ4BoS7mx3n0mjgBsT2ZmmI3lVzayigaloiEmpKM5oiLThVVhsAlWDnajvggwqGlQsifPEjo/iYB9yxOS+xbOiKSH0pLn8jA3R3RhBHFtFykgNmweSNm2QWo/BAEBRKAu+6sHvi4reu/0EQ5vD3f978XE4J8HyuLLJh5au/89YlXzx88MHWf7snMEvarVse4fTFMVoKMcKQol4LwKiMhhHugatLpZmtBuBWkrLW20qDVDuWqsiB+MCtP8vhU/+owB1SNFdLNOCJ0bybJ1K5HbiaV740cyyRfmx/IjOO27F0nBSR2q6XBUno4QmgJyXFJD+XQX5deGCutpwnlBSeBrxq6invYRxPOZOURaYCiASWz4tw3QdHQQlw+315hVthgWwaoFDnywqY7j8aFAnrrSy2iBW4Y6DGEJAYLaUYpy+p4Q3LIwiVyPWfD7Rg3/gbj/z7pm3Xf/B33z6lBjMlwFtLBFt3PvW9wYnlV3/6m0taf/rwGLjgEFxgYW+Eud0RLjizikvOqmDBrBpIPUCsr0RctlYXjvZjVRSeBLmhJUwFdJispvaBWzdLcD+1MwRC14FsAm7VpckzAE8174FrpUUjkIGptyEJ6jTwXe/TOtbH6Gi6kcsmYNcAtkAmEIInc8cJErxbN8E0rddU5ywNattYX9MSRS2VTg4NeBUIEpAGVH4vAVFnWDk/wmf/eBRCAD/SllxLhlonTxIt+RuZEnx9Np0TIFQWI49AowiL5lRwycZJXHBGFfNmcCzoZRCcImYEb9vYitlL5iKTbcMHpzm9/jSvocLn1MYmK+9fu3zJDzc9/GSByTJobH2BY+s+jkeeruP2zZP44p8MYvWC2PBw2VVIGG3TRjK5oSnamTSOpQG3AHyCO36ewyf/oQVP71bg1rzbcO30c2JyHgIoy41G7k1SYHflwIQDmQZ7gxNJUpacJGeC80ozoKel7sQPnnIiLYA1IEgK0DaiiRTQuRCKiqgAT8KKw2wTuiUcVxmIAAiVBcGgupRMgGtrXmdYNT/CdR8aBRfAnT/Pyd+igZOnb8a82xNq6IkMDxEe4bSlk/jCh4Zw6mKG9jxFHMuFtgCZ+y28lROFvPf+mTNn1KbD8LQA7y6N8JVzFzySy3ijX715X2GkyuzBgWEoinD/EwH+9tsc//vqI1IlSf1exlo7HFxTkyTn5qAewCnFXQ9m8bGvtOCZXSlwGyqStuISXBRJWTDd3yRNUyyQRYPlBrFW2AI5tRaP2bHRyqcx3gzcDVBwruRmu4sNoIGHC2c/y8WVDs5V/xGtriCljQtYR5NaSdtGQyl0GiMhUkpMyB11hhXzIvzdn4xCCIJND2TBIByQq4OkzpcmgK1Ja3IWhEDWY/jL3xvFxlUc9XoOw6MBVK8rcEEQxVksO+WiUeItfeTQoRGOaQad7sVccSa8oG1gvMIve88lqyOPRKA0RDYMkQuz8LJFiKCAI+OhuhRqB7PJ2zYBt4lWqqaanBL85BcZ/OmXWvDMHhfcU3Fvvb2ZauKC2aliORolaUZPpuDfaZwfTy5KA+BTFMVimiTpiHAmQkq6tb+BS2fsfjz9P6nUWvtYF0vY9hRu64lE+VsdOGVuhC9dNYLz1lXhcaGKJXjyBvex8yWsMGt+VwKgrSBQr+UxPlHEZKWASiWPOA4wWWUYJ+dEBOyy7q7SQHf3jGnP7bQALxcD1KPteMs5vc9f8bYFzy2bU0CBcvRkOXpzAjNzQJDJAsSHYB5iFoIxX4b2uX1rbcGT4GaWongC3CPY9HAGH/q7VmzbHarMQJeOpKmJtd4EMNxbO/UJ5xIO4NOgdgDtBnmM9U4pgOkQPhpelzQhocJMB+zEgxTgxXSAn1pZSQLdVv3Y7UnA8xTQuQE5tY+5Z4yXfk3XeooIWNIX4at/NoI3n1GFx7kFOdRj7oI8pbYQ3UrP9mpnPMBkpYDR8SJGJgoYm8yjWgsxXutEf/X057YPrHz+/sf3g5DMiwc4AIQBxV98+dE9v3jGf++G1adiZr6OrgLHjCLHnBaOuWVgxRyCarWESi2Pehwg5p45aQmQO5ZbqydeKMB9gnseyeIjX2jFtn0hRNgE0InnxBYuEgfcbnYgmlhv2HuroDigT4E4Ha63QDasO+WE6ohtA/anBrkTw0kWGqdzwB1KItKW2tXRbUpFGuhuYbKY7uaUvgkX6FzeC1hLrv0u1IElcyJ8+U9HcP66KihTtWuCwaReacC7AXhCTKIc9UL4QQ4kKOHJ3S04MFBG/1AJgyMFDI8VcOhIHuWOM7B6/sR71826ZY8QHo42/KPtQMgijI1PoljIHbij3fvZ4N5nzh6fGEfoe8gEBMsKFG8/o4SBoQzCQHaU8tVSfYSkpUGhgK3AnRHYO+jjgcdCXPO1ErbtmQrcTW4KVppn+0iWoRkgQ1vxFPdOgb+ZRdfnPx34MVSlKU85BlQ3RXrz/dM01TidcG+umiIcLp7KW3GDQSmNPKGwoAnoodJtBZVhdKqOTqXPUs5AYoFlcyNc/9FRXP01gYcez2DvEV8mAyVOCIVVIHS+PkHOA/IeRc7P4db7ZqFAMygWgFwo4yLZXBu6vXU/y3dsOBBFFZzdlT/qaT36FADwuc9+BhddfPFgV0dxzKfsnc/t2otSwUdnW4C+mSHyuaypvnf7eCdqLHXaq87zzghseyHAZ79Wwle+V8Te/kAVCqesNlJ8O8HJJahDoirjiW0Yaiy6U72eWDKEWivduFSIrXw3ANfdrJTzKS8ipOG5XfbFVtbYRZXc1+2kaQg06auNStMltLEIw/1cpP63cT8YupV+Pn0UVz/RYHQpnHDmo3a0JeA72zjOXVfHzJkMz+7wMTikLA+cDzac2wchHjIe0OILlEOOGQWBmS0eGA8A+KCUIIojtHatQa40788OHdy7uad33jHZjaNacD1WLp+LfLHlkSPDE7fs2tt/6ZH+fWhv9VEuys7/USwjmyHzwL3Y0BPXahtwZwV2vODjr28o4aZNOVQZVRHKlPyHtBV39oGNTCY5dzL8rq13Q3YgGmVDNOwz/WPn523QyY9nJHm2NL2OIqh0bW3inTUqnQoIkwynubiSaa0y4kqLTiApZcWhclYkNeGWpsBeESikJde1D0LnksNa8u42hndfXEEmBD79jyXsfAGApsuCQHbB1/q4FAcCKhB4shcP4xyjEzHCIIBHgeVLF2B238JbguLCR/x45JjP7TEDvFDqxq+e3b9n2Yp1H37qyae8vDf8tlIuQinPkA0ZPE8YHmq4LXFUEl04HArsfD7ANf+zhJt+nEcVBMh42kwiqW034d56uaQ091aTyaUk06a8pjm3Bqm2inAAnwCtdT4TtMV92eRbHAfIHc5hsxxUolWKhyNNUzRI4WzjRC4DDpenC5ufosvYKAw3N6F9lZ/doNLo7ESq/SsNfKklcr3oIOcQVYGMz3HZmycBIXDNDS147gBkkEIQyAU1rdPJzYyWQaVaJDA+KYN+2Uwedd5x2+Jlaz7Magf3+tl5x3xej+pkumPVstkY2P/o3jedu/bJlcu60Vaqo6XAkMvEyAQMvs9MB1gNaJ045akys939Pq6+oYQbN+VRhS5WcMPtrpXWlzLiTAB5yBrg01XnJAI5QJNL8NFBnwaz5ecWxA1YJsn/nxbY5k8TwKvX0kqKWQTVCc/r/0lIhI4iJ3VxVxJMArhRdnSfW4fV9CHnNCErGmlReFaBiQmyQuCdF1RwzZWjmDsjkg1VuNt3hUEILosXOEHECGoxQaUGjFc4BoaqQNCO3r7VTz708JbjAjdwHBZcj56ebrR1zLpuYnjngoFM/+WEDyGfjZANI4RBhNCX/QF9tWyf50XwvBiREHhoSwY33FzED3+cR50osuxmAhowu/TEuIpmPhIF7GSk0g3LN7feNmSfVE5g9ksWwzaA2UmPTfBPJCdHCuvTgpuknrtYF26+isk/0Q5lsmdKUvcG9GrFibC9SQlw279pKmOttlFpzP9QCMFksIWkLDpR1ljoVRdU+zrCQJTTG3ocl79pEmAC/3RTEY9tzaKml2hQv2udEIwzCj8m8CPZEJULjlndZczsmfODVatWXbd7z/7jhevxWXAAaO/sw7NbNo2UO+b9QWsp2JzPcRRydeRzNeQyNYRhDaFfg+9H8Lw6Aj9CFQL/ckcel36sHT/YpCtx3ALhlHKCFC1JUBQY3dvVuaWfn6IcRP76DQ4YGp06AEkqYpypKcDbQFFICvnTQ71p0x8XrC7o0xFLR0o0eeOJQJCrgaPBWrspt8aCw/2fKeRDpB87lhwq/yhhyX1w7iGOPfgcuPyCCm79u0H83sUTKJAYiCOA1wFeg2B1TMYcwxHFcI1itEpQZx6In928bPHcP7jxlrtHFi+ad9wAP24LDgDLV78FAy88Otmy4uL6wJ7vIkP7kc9GyOdqCPwIhMQgYAjCCBNM4Nu3FfCXX2/B8FjoSBh6xV1qwWG8bKfew1AVi0KqLbjjUKYLgql7n6AeopGKpIGemCCkAfjpPKrjsdoNQzuSzmMX6GabSFl0nUTlSn8KsEBj4YMrL8oWEtZ5Nf/vhvWVdU42FBIpKy4jWlxQUKi+ykTtI3SKhuTaQlBQytFZ5Pjc+4fhUY7v3FrCRB1AIADGwRFj3AsRZXxUIoGOzjJ+/4pL6jHI5O+846LjOasvDeAA0Nq5EAB/OEdXrOdj23MQk9j+vEAtZpgzI8bsTobt/RS33lfA577ZiuHxQDXDdPJHUmESu82lKkigj8Dh3WhCSRIWW0wN4Abgkwbr3xDgIRb07kRIHeKLRHpa204BmTj7CLtNVvMoEJNkcbJrxXXdQYLeaDpCkAJ5issTp4qLwFp8YouFhQEy0a6xTLeFbEUhCJdLrnCGtkKEv3nfKLK+wG335bGjP8Sszir6ujiqsY+n9xVQDQrYsH51ZeWKhQ979LiJxksHeBC2QvDhv/A6LxKjlSeuuumep7Nf+H4XhkYEfnPjKN52bgU33FjAXY/kUGOB7fRKPAcNxLk+uxlmjgdoK/eM9U6kv6ZAOdV6OnICiEbLTlLv43483GKHZKHxVHknWgtwf5LjlQ1dq96Mh2uAWhnRfrAJ7rj/rwDvSobysbXMNtAj7MRyaIsuUSRCOFcZ5eASrfTYK0N6WFVNVoCV8zE+e+UoznljHTfcmMcl51Zx6YYYR4YDfOY7oxhkG6rvv/zsL4c+/rKttfiiAf7ipwYAQsucTNxyza6BBZ//4f1n1Pf3z8DASDv29wf4yS99PPh4BrVaAAQh4GXsjWYAkoFZDMotGHalCfPj2hNmyIvjKFqwu/TDad7ThH83OJKpC0l64mi9Vh9b0uqr4L0TfZa7uebfwW8T/u2qJukXXR6uQ/UGhAl+3YRvO/IenO2udp4O5ye5uXMM5jP1GXZSB9SVV+jqLt3BlnlgzEccB4jjEHEcIopDRFGATECwfnUN56+po7dToLVQQndLO67+73PrF2/o/Pw/fu/H17S1tkybLXi08aItuB4fvr6nHuZbr50zY1f919fs+OvO8gi9/AKBns4aHnyKo39LIAHtZeBmiwnzqwokss0SiHAIqQtyh54QF9RkOplQGOt8TJp4g7NJpn1dA5tYdB/zENriGp5sKYixoMQJ6pjtKZ2baHAKx1ordcMFqX5PzdWdHHMYR1I4k4DALJPWNNnX/kryXu4v++k4abdQkW7hQQiCIOZ4ZivBN25vRWdbATt2ZrF0dhtfc9qcv/7I73d+sT44Wf/7j780fL5kgF//V/8Nd999d8Xzlt4yMVb8NJn8v1i9IMC+gQC1yFNWOwfqeQhVxQ0g+2REnIBZXavJ6WrcnpD/nHvqhI6bgTVBVUh6P9KwDzQ9QRrUlngnMD4VoKcBugZ24wup/3OdxIRDCbO8X2NClrXMCeqiOTiUs+m5TqamN/YaaFpUoBHarh1PQ1/r5Yx7YFwlZEFeeX2PgfsEoS+Q8WNkggBbtrUhy4G5V6wVR2p9t+x9oFI56+wLXio8XzrAAWDRgj4w2rvdZ9krAzZ0A8Rz9NafB3h6bwkI8sgGPgqeQEZ1qhVCLkc3wQgqTHdAdd0rRSBTBRRp5aIpkNHcuWyeazGFUzkVhUl8BrFYb9iHOMd5jKbc5dHO6TARywTIFbAVmuWyko7aQXSPlOYLyBpKQnTtrHCstqvOwEwUfYwNtsicNzUdHFrEOEUc+4hiz2QiylwlhpB58D1gWd8ELtowiuv/oxWr157Nu3sWXrlqxeLtz+48eCKgeWIAvmDRMkyOPF3Ptaz7xo/ufCB/78NzvvRv/zmE8biIfNZHOeDI+ULWDBMZXKgzOffrXC1J4SbGu0qK49SQ1M3dhjTIXfA7FfSNlp00AD/db9AGeEgSyImz0ATKx4JtVyZEk2uWSL1XeiJAW2UkrHVSO7f8PF21Y6t9LLjdM9hom50DM90RuAU4IYD6TYWgiJiHWj1ExDxZzkgFfMrBgggCQEuB4b1vHcWa5TXQ7OhHzz173TcefHQ7W792+YmA5okBOADkW0/Blq3Ps1NPf8/Opw88OBbTu0o5v47OkKOUEch4AoEvQcY4UI0Eakw1e2QxwCJAt4XRaXS6tGmKy2QiQQrHwK1TQG7I9242SZpY8sSkSnHuNP052nDxayiLo44YNSTBy1P6tXnNqYVVoDc0BElFpSm4iVuk3ISSuPROGw6nI5neJigHARCzAJx5qNRCVOu+XPJQrb8UxnI1ZYIIs7q7Mf+Ui8dE4YKdUbSHrV+75ETB8sQBHAByuSImJwZuu+LidX9MQL78/Zvvba+Pj6CQ8ZAJBEJfhmAFgMkaMBZzBNUIlE0AIpJLwxCnUyyIsuo2gGBOtgsi0kQ9aUY9GoDeyL1dK52w8C64HXqSBL/rcR4d2MYoKzAS57F7T1LPxRT7GQsNR1EhDk3R4OUEQnPvNNhFcjIkHE0D9GRfG1ksrpZQJxwxJ/AQw4soalERI+NZTFZ9CCFTqsOAIRMw1CMBeLPRVjp/0C+d9xFEA7ch7DyRkDyxAF/c1woAOHxk9Lt/9M5z/ZlFct2Nt97bNT46gnyOIhcSBL5e+Vfg9BUjCHPDEKwC4jFs2xvizvtlVZDsYkpMdKzh4t2MtmhQUvd583Zs6cgn0hMCydfc1xP4TTmDRr5Hw6FOjXANKJJ+Y2Fek+BXgRwH0K6zaTl4uvOsoiWpbEJ3Py6nBfRClcKaCnsc7ndSvSV1Ml0QRGCC4dafZ7FjbwhQH/U4QIb66CjmAHjwqEAYcOQyDLlshBa/jGz7+YfD8jl/HtWj74bZZScSjgBOMMD16OpoweDgyLfe9pYN9ODB/s9tvv+hrkKOoJj3kM14yIUe2loEzlrtYeVCgUI+hp+tYt/BCfxVjuH7P25BnauQvntdTYOaiAYr2ux5Q1/vtPUmjvV2nUzHersrqtl9iDoe0hTYFg1HP2eGmWjt26EicF7TWaW2OZDjFEJZcbWqaoOTSay15hzQFfeJ9hHG8YT5XDMEjOXWvSYpkSvvxYLh+/fk8Vdfa8P+gwUgzCOXCXDaHGD9cqDcQpANKfJZimJOHuOsuasO987b+EnOom+F2daXA4rHVtHzYsZ1112LU04987F8LjgMXj+HRxO59tYMyi0e2loJusoC2VD3NQQEAzpbI6xeXsX2vT627QplmbzT4Ecv4Kqrd9wKHrmmZZMKHnVz17b09FqVxNmX2AodWclj95ETwK3asRPAnRh2vUviTBCSnCyOUws0+gZpnd7dB8SZTHAmafredYaJdX6bc2h91Wv+WC9A5i5G5i79SClDJhfhzgcz+ORX27H3cAEoFJEr5DG71UNnUU4KuXgrECtxobNr1mC5rfdjg4f3fKun79SXC4YvLZJ5tPGed70dPK59Z/HCOR9avWLeWHcHw8wOgY5WhlIhRhgwCEERMx8RCxBFIWa2C6xbXpOIN80+ABhFNhG8T3Bu88M1+wGbOZ+JfVNheeJ8RlppgQW8Kym646hWXY1EhDK9XTinIEVJ4FpsoQqJnedpitJQoIwkt7btsWG4uYrDm+NJfUFlxWUzp4efDXHoSAgEAYgXIkMJfMJRj2Ve9/BohP6hOvYfqiLM944VWmd9aGQ8+s7Ktb+Bl3O8LBTFHb0zMjxi7T8oziZxlk58+8jhfdmJahG5DEMYyKIIGcwkiJmHbECxYU0Ni+dG2L4/kAsgNZGpNK1oplk3q3Ek5n+aUZPmTmnaGjZrJeFC2yEsxzeaSH7p93CdTQICDrtmuw70aGpChZCcWtgkLElDHIdVS4VIO5nWc03korjfk2jDIhCEHNv2eHjglxlMMlXAovblQlrtal3A9wgODlaweNG8apDr+kPQlpsOHpl8SWH4YxkvqwUHgLdc9JtYu3Q/O+9s/6ZCS+e7SWZeNY6lF50JYgS+bJGsTzylwIwOhtaC0wF9mvCwa8ndgtrE+otpMCO9XVMMC+gGsCe2JS36iRikCec18iCstbZFC83C9aSJ5SZmH93zxA34yIY+AMz/uDkm0515ddyewPAkQf8RT1c8AAAiAVRjgmoM1CKAc4Z1py+o9s3pfvfzo4WbNm85wt5x2WUvL/jwCgAcAHqX/AF+ujlmWw4tubm1PPs9s2f1TGbCGgq5KrKZGnxPyky6+Eqk01KanGVtqWkauEhmBtLEc5L4n8R+tJlFJ42gbnIgiRyUFztSakxSpmukF0nakQQ05w6ABZwOVZrukBTYidMwyFIXbtSUaYZQ50wHFYSAEBxVBgxHBMMVgvGqwKzZfZN9s3rf86mrzrp5cU+dXf3R330loPfyUxQ93nThFXj8we+L1fPv++GOA+t9jw/dkCFPt4ZBDYRQuyAV4JZeJn78tCrivtxgpSmmpiIJUDurfTmW2X0MJJWThLKS+p4vFubN8lIssGyOtbWqcgsHQDnAKQGFWnIQ2ioL2VeQuv1R4KTKuhY+VezghlbF9CDnAhDcmZWCg/EYE9UYYB6WLuob6ZzR+4Hrvr/nh1z4+ND73/XKgA6vIMAB4LQzfxu7fvV1LFoYfS+qLgyeP9z5xcGhRzu6ioPI5KRTKAQwPklRrWuLIH9MPdzGu5Y2pOlIcv3LpMKRlAXd9c6nckjta+lZlTg0w9Ff7DB6d/ptUlTBtmuQJ4hDriYi18sU0GtL6ap52xZCRTmVREg12NWS26ZgQn1Bt7TNpsQCaR6VDQSKeZMDADDAFwxvWB7inDeuPDLJZvzpAU6/d8WviVcU3MArDHAAmL/qfQCALdvGvoMg8L3iT64drd7YVY/3oLMsUI+BRx4PsXWvr2RCy7L1I12DmebVjSumNVrv5utiktR+pBHcSPHyJLJP+HnSFlQ7uLpfiv4krv4QbbnVebFui7XoUMEduzgVzCJPxCweS0EFt8udKA/e5fzJiSaPJI4Ils6N8YbTanh0VxF1IdCar2JuTzeuevd5h995yZmfAOLvEHJiI5THOl5xgOtx6pISBKt8E+R88vjj1c/dft9/dF1+3n54IcWjWzOIqj5QtOA2p7UZ14YLatFATYy+7dAXdxtNgZs2A3eCshBHi7bAPxHDBHtSxpJoNUTlmhDA0BNB5XZA0RONckpAuE1f0zaY6/MmoJb9FimH1Tqc1BQk23vXgDNOkc0Da5bW0ZoVGOPAB3+LYM2aDYfPX3/eJ4dGxDfby+WTBbOTB3AAIF4Ov9ox+g1SOC9etLT4pdHqLW03/edu3Plgi4zMxMJZeFT9j/rjhuGn7YnigtgEdXTQxrZpSwRzCLE9PnW00gH3VArKlPndx3VSGt/TfSmR3SdkJoOOSmrkU7UNkCfHE8IUGuvlLLmSDHmCrsi1ezgRKjEKRl0BktZbb/N9DjAPF61jeOrSKn6xbQnedcnGoaWnrP4YpaPfJmT69sYv9zipAAeAVYtaIAT77urFZw4++djuhf211Z8vZB8JVr9xEDufB3YNBHb9P6SsJmxflAT3dpxIbYVdq2wjlEmnUqsBVJnkZFuJZKje4DDNy1M5JsczCOz/a4dSy6fmJWE/U0A5kfoYCYGgchulelUHgIMAVC/brQ9b8nVOpPOpm+VTkm4XIY8sQbs1uD2BPf0ET+0uYUFXAVddsSH6101dH8+1nbtzbCL7o3LLiaduxztOOsABgBCP33rvjtuypd8Oz1q7bfLsFbl/avXvIl+/ZYTuOqTqNt1gCKaw2E7Y3aMWtPbmPHfC8taKO/cu1yYuMNzjTv7wJG3CdQoNmep7u+qMc+8MN2UWKaATQhT9sNyccgKmQQ4Crh4D9rtAQK7rToiZILpdW1o+NDWYKuKpO/Iy7sPzIjz8bBbfvWshf+9vbhDnL5//wY9fOftfwLfWiXfayYYVgFcJwAHgkvMWYc/OrXW0d383K6J79/fvfUe+Zehv/WASgU9Qj2Jw7kFQ2iD1Nax/2SQXxVhu2hzcmpZYebCRihBjOZG4B5xsQLvFOKJNqQtp+jCR2Zh4b+cz3QuFBjohKjWWSpCDChVL0FZdZQumAlkUkJREvQcnBJy6jfCto0kg4HkMHmWYrGbAGTBn5iycvnLR/+De8h9W6t37Dj5brS9fftrJhpMZrxqAA8DchUsBoPKjTf+87aILMtf23nta+I7zB/+it/Upb8eBw7jrsS4AuYaOsu46PKSZtXatugE3kZ3jjDXXAE9p3Q4HB6yUBzTJHwFsyim03Necs7jus+s4o+nezmcJO5mIsM6ilTGFM0us40moOi5FRYgK3dtV1iBD/Cq6yQgBVY3wGafwlXYpEOHORwgODnTj0vPnsflz2j5z//9pvXb96kdZ7+z3nWwINYxXFcD1uPjC9+Jvrr+ZXfuJ37r6+QOD/tihn3y0/+AdmSd2UYyNc/iUyIWmqOLfVBhwTmu9CUm+ppUSo6g0SbjSYFFDB1xsjrZIOl+AkUHIMVAUE8RKSZdAKlzuJlqZF5G4ylDInB7Tl9BQqKTdVx1OQCDAjOW2VlzKhFSui8o5uKmvpJio5nDz5j5cuOGCWu+SjV/IFTuuPrjjXzFz0asP3Mlf7lU4RkfHUSpVIJj/uR3PPbv+A9dsooMjtfVHDg/6pRxFNiAIVeN9j8o8H3lP4Hmyesij+nGSolhr3tjMXjubRv5Tnp6V0dw8awtww4NVI3xDfQixKbrNUnXdVVmQvFq4NxOeT32evfKkFSObPqxTifW97wl4noDvCZl+7HH4voDncfhUwPM5Ao8j8Bl8L0bgV1EotMUMuQdGg8t5T8+yB0Yn+SfndAUoFF98Y56Xe7yqAe6Oq//hNgRhUBofHfv6zu2737l73wHKahUUstS0O/SoBLXvEfieBbpnAO2Am5CkZacW6K5kqNUTA2YB1YJM3lz92E3kkp+jgU6cPHRijrVxZYlGgHMl6TEOk2PiruSXDmY1rmbRHOQehQW4LxB4XIJcAV9Wv3OEfg35fIBCqYeXO/r+PZMtvI+xeKxt9hUnGxLHNF4zAAeALU8/h1Ih2/n0jhc+fMc9j66sTQxdunXrTlDPg0epAXXgwzz2XYB7JOFUNlIXgvQyJKbIAEIBG2CcgzEBxhTQFYfQMhtx3stOKmIA7k7IBrBrzxFQrRcAxuRy7bEDcnckCjPSAPekJTcFH+pq51Ehr2yeUJZawPc5Al+CXHCBmMXo7pmH9vb8LeUZZz4Z5vu+wllloFRecLKhcMzjNQVwPbbv3IvWluLcXzy29cu7dj176aNP/ArP7BxHJvBQyHlyvSBfgjvwCDyv0WpL2pB0MBMW1wnfa/rKlbwWxxyRujEmjEUlQIO1NvdeEuCeZ8Ftbp5dPAsqCCMrYQjqscytZlwlNql93Lwa7TSnrw72edKaW+stlw0JA45MGIGihqHJMnpmr8bChYtuaZux9CNRbWJPa9uck/3TH/d4TQIcAJ4/MAjq+YvGhrafOjA08eG77t12zpZfbUW9OopsJkDgEwSeKnL2NF1wgjouJyYuP3atvOXHxAFcrc5RrTFUawyxArgEt2Otveb3LsCN3+BpwFkgEil4II4JKjW54kG1LhAz7jiYSf2eEpeKpQBuqJAwxxp4AkEgEPoS6BQR2tty6J61CCxcdp8gLV9ZvWL+lno92pHNd5zsn/xFjVelinIsY1ZPOwDsEELsWAw8+fwh1rPhDcu+tuXJrYsefmSLRxCDEArfpwh96b0JIazDZ6KWrgNIEzWcLoXQvJgxSR0mKgLVOkcUCzNpPE+GxXUgyhT5oknJF1z+LAzopcMsnwMCdY+gFnmoRwLVaiwDNHBArSaUEARCmX6TIOXBLEmpF582nWUBIJCAjyCQyxL09q1lPbOW7PBp9Y9mLdh4QADbdKrCa3W8ZgGuh9Kptw0MHNnGGPv1XDY769yNb7jxp/f+rGXnc/sKAa2h3OJjosJQrQlFDSQooC/vmp/r4mUPDuBkkbPnqDUgHM/siVGrckMJAl/2cYev9HShU3sdXdwcNJKBHmJpQ+AruuBLpw8A8tkqXuinGBqzWr70L+QxC0+ny6qPU1crrrKsOFE91dXVIaoDExWB1qJAe1sOxdbeidPXbhiFiC9rbe97nlBvz0su4HiVjNc8wPXo7OwA53zPjBld+yYmxldwLs48awP/54FDz8U0eqb9pw8NlMYqQLmonVEKruQPbcVdi63BLS/jQCbgyIYchRzDnJ5RPL4vwjP7W9GRF8iFqnRUA1Vl+DXTqgEkqvBszox1+LIhRzZkyGcjtJaqeGzHBB7f1YacF6KQFcgEFGEglxDxnb4IAgCoVnQkyJlSYWLC4VGC9hYOUIYDox1jZ6xYOnj66kW+AHlvuWP+g8VicQQQnCSqTV7b4/XzTSApBiGE9w+MDvX09NzV2lpa8h8337lw/TmXf2be4jc+1dU14/GO9tbqjI4CMhmGyWqMmHPDhX3HcmulwfcluHMZjmI+RlupihXzxzCvZwz7h4HhSYpKHahHAnEsjNNpywacZQmdkc4S9IjUo4NAIBNw5LMxWos19HQMY9fhOrbsDTA8ITCuqFE9EogYB1NypVZ0tLrDmGzzkAkYxis1xCKDMFuqdnV1Pn7+2Wueev8fXv6ZTXfcvjCXLy3p6pp5FxVjQ4SQ1xW4gdeRBXfHgnmzAMk+Jw8dfA5+6H+eUu/zG89Y6XWUi/+UCStLntmxc+Puh/q97myMfI6AsQhCeAh8mkza8qQTlg0Z8pkYuWwMSjl6yjV4tIaRWk4GnHyBUMt43NISm2Ou17ZxUlVTejalkg4FPkM2jFHI1SBQQf9IFpEgmKzL9nfGKfWdpprqzQTlqNUZwjBESzHE4rkEbZMzWXvHks3dXYVtPJ640vfHWT6XxVWfukZ0zJg3ebJ/r5dzvC4B7o7umQsAS3/j8YnB9+Vzmbbeeas+OzDyk5BNHGDz5mTXHB7ha0eGhhF6E6AeMFEJIAIgl5GcOBNyhKHkxXFM8PaNVXz9rgoOHM6jTenU0nrrcD2M4+p7FJ5ngRhzlYpFHV2bwCyD7nsa5BH29nPctrkA3yOIOVCP5dUi4+sUVyn9DY/WQSgwb3YJXZ0tGBr1f1ksiUd7Z8/0zj7lvHqYa/8UZ/Wh9vJrUw15seN1D/D0KBbaAWAIwAcA4Ikn7oHvkXO27Y1/bTGpX9aSm1xaqYzj3vt3IQwBoAJKqsj4NRRzMUAoqlGIloIHjzIVfCG6vleBW+vpFL5HEKolimIGTExK5SUIKCihYJ5TnmbyaoRSVji44KjXM8hn5JsPjXNEUQxwIBuGKBUK6JkRwM/PRZjJoa+3sHX2zODGA0fCuykV960/78KTfcpP6vgvB/D0WL36zQBw39jY0H0Q+Bkh0cL+w0f4Pfcf5LPndM+fM6v8CVbdjY62CP2Hd+HAgRh9M30Evurvp3oxCCHkAr6cyrRSR+3IhkB7C0c9jrCvnyOqE5RLHnxP9yUhSsKUDS0FV1FTTWdYhBa/jtkdDF6+hK722WjJMpx2Sh+i2ui15fzQrtPPOIvmi+00mwl2Arhr1eltJ/vUvirGf3mA61EqtQHAXfr58PAAfD8sjw0feGCoX6CjLYr2jZ1yVfeC8MKZM2Pkc0fQ3vYMokqM1qJAuSBACQEXEeR6Q5BOp8/hEWBGuYoKH8XugQC8kkHo+Qh9gdinmKwAHuHobAMy2aysr6QeajFBe1sZn7jyrWgv5DBvJhBk4k33/TL+UlueB2vXrMDcvt77qtXacHf3yS0Ne7WO/w/wKUa53AkAwwBuBYCfP34YxXY829UadXeWGediAvl8P0q5AWQzBPmswNhELbr4wjOvCWjlNwSPI86BTOihXATm9FRR5eM47dQQopZB3wyKlmKAbIYgjhly2SCY3Zu/fbT/wWsEcgEhHIwzFEot+PVzVyMfZNFeJrTchkMbz8IuQmad7FP0mhivDzX/VTJ+cu/9AEj3xNhAa1SviTgGgsBDS1FgVmcdNTGBH/8yhKiH6OmgKBV8hAFBvR4jk8mQ+X3dI0KIQ0tXnHmyv8rrZvw/rneEcSCS560AAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjA6NDE6MDYrMDA6MDCeRcyyAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIwOjQxOjA2KzAwOjAw7xh0DgAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 222002000
{'hecke_orbit_code': 54043195562004080, 'n': 1, 'trace_an': 1}
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id: 222002001
{'hecke_orbit_code': 54043195562004080, 'n': 2, 'trace_an': 0}
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id: 222002002
{'hecke_orbit_code': 54043195562004080, 'n': 3, 'trace_an': -1}
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id: 222002003
{'hecke_orbit_code': 54043195562004080, 'n': 4, 'trace_an': 0}
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id: 222002004
{'hecke_orbit_code': 54043195562004080, 'n': 5, 'trace_an': 2}
-
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