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mf_newforms • Show schema
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{'Nk2': 10200, 'analytic_conductor': 20.3618525154265, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2550, 2, [851, 1327, 751], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 2449, 'conrey_indexes': [2449], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [4, 0, 1]], [11, [-4, 1]], [13, [0, 1]], [19, [4, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532602838321654, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, 1], [-1, 0], [0, 0], [-1, 0], [0, 2], [0, -1], [-1, 0], [0, 0], [4, 0], [0, -1], [0, 0], [-2, 0], [0, 0], [1, 0], [0, -1], [0, -1], [-4, 0], [0, 0], [-2, 0], [0, 4], [0, 4], [1, 0], [0, 0], [0, 0], [0, -1], [0, -2], [-6, 0], [0, 0], [-8, 0], [0, 1], [0, 4], [1, 0], [0, 0], [1, 0], [0, 6], [0, -4], [0, 0], [0, 0], [8, 0], [0, -2], [0, 2], [-4, 0], [0, 0], [-4, 0], [0, 8], [0, 1], [3, 0], [0, 0], [1, 0], [0, 0], [0, 14], [1, 0], [0, 0], [2, 0], [0, -4], [0, -6], [-6, 0], [0, 0], [2, 0], [0, -8], [0, -2], [-1, 0], [0, 0], [-4, 0], [0, -2], [0, 1], [-4, 0], [0, 0], [-10, 0], [0, 1], [0, 4], [-6, 0], [0, 0], [4, 0], [0, 8], [0, 0], [-4, 0], [0, 0], [1, 0], [0, 8], [0, -16], [2, 0], [0, 0], [-2, 0], [0, -6], [0, -4], [-6, 0], [0, 0], [0, 0], [0, -4], [0, -8], [-8, 0], [0, 0], [-1, 0], [0, 8], [0, 3], [-4, 0], [0, 0]], 'ap': [[0, 1], [0, 1], [0, 0], [0, 2], [4, 0], [0, 0], [0, -1], [-4, 0], [0, 4], [-6, 0], [-8, 0], [0, 6], [8, 0], [0, 2], [0, 8], [0, 14], [-6, 0], [2, 0], [0, -2], [-10, 0], [0, 4], [-4, 0], [0, -16], [-6, 0], [0, 8], [-12, 0], [0, -20], [0, 4], [2, 0], [0, -18], [0, -4], [0, 0], [0, 6], [4, 0], [-20, 0], [-16, 0], [0, 0], [0, 8], [0, 16], [0, 2], [-2, 0], [14, 0], [-20, 0], [0, 16], [0, 6], [8, 0], [4, 0], [0, 4], [0, 12], [26, 0], [0, 10], [0, 0], [10, 0], [-2, 0], [0, -30], [0, 16], [2, 0], [16, 0], [0, -6], [-10, 0], [0, -12], [0, 18], [0, -2], [10, 0], [0, -8], [0, -18], [0, 0], [0, -20], [0, 20], [14, 0], [0, 6], [4, 0], [0, 38], [0, 36], [28, 0], [0, -16], [36, 0], [0, -34], [20, 0], [26, 0], [-32, 0], [-10, 0], [10, 0], [0, 6], [28, 0], [0, 0], [12, 0], [0, 18], [24, 0], [0, -4], [0, 28], [-30, 0], [0, -30], [-6, 0], [-36, 0], [0, 44], [36, 0], [12, 0], [0, 30], [-30, 0], [0, -36], [0, 18], [0, 40], [-34, 0], [-28, 0], [0, 10], [0, 32], [0, 46], [-36, 0], [14, 0], [0, -22], [0, -36], [0, -2], [12, 0], [-24, 0], [28, 0], [0, 16], [0, 24], [0, 14], [30, 0], [-30, 0], [0, 0], [0, 6], [0, -4], [28, 0], [-8, 0], [-2, 0], [-14, 0], [0, 44], [0, -44], [32, 0], [0, -40], [36, 0], [0, -8], [-46, 0], [50, 0], [0, 14], [0, -8], [0, -42], [0, 0], [-4, 0], [-6, 0], [0, -14], [0, -12], [38, 0], [6, 0], [0, 6], [0, -26], [-40, 0], [0, 8], [0, 18], [44, 0], [0, -2], [0, 12], [0, 16], [38, 0], [-16, 0], [32, 0], [0, -22], [-6, 0], [0, -12], [0, -54], [0, 8], [50, 0], [0, 42], [0, -48], [48, 0], [0, 62], [-34, 0], [0, 30], [2, 0], [-10, 0], [50, 0], [0, 38], [64, 0], [-56, 0], [-60, 0], [-54, 0], [0, -56], [26, 0], [0, 4], [-64, 0], [0, -6], [0, -2], [0, 24], [44, 0], [0, 6], [0, 46], [34, 0], [14, 0], [0, -8], [0, -36], [40, 0], [-24, 0], [0, -52], [0, -18], [54, 0], [0, 10], [0, -30], [0, 8], [38, 0], [-32, 0], [0, 36], [10, 0], [50, 0], [0, 14], [-32, 0], [0, 12], [-60, 0], [-40, 0], [0, -52], [56, 0], [0, -14], [0, -24], [-42, 0], [22, 0], [0, -60], [-42, 0], [0, 4], [0, 30], [38, 0], [32, 0], [14, 0], [0, 46], [0, 48], [-54, 0], [0, -50], [-30, 0], [0, -36], [-4, 0], [0, 16], [-52, 0], [72, 0], [-22, 0], [0, 42], [0, -8], [34, 0], [0, 42], [72, 0], [-36, 0], [0, 36], [24, 0], [0, 24], [-58, 0], [0, -78], [-50, 0], [0, 2], [-4, 0], [-40, 0], [0, -16], [0, -32], [48, 0], [0, -8], [10, 0], [0, 6], [2, 0], [62, 0], [0, 4], [0, -22], [0, 10], [0, -10], [0, -36], [-42, 0], [0, -58], [0, -22], [-60, 0], [36, 0], [-30, 0], [0, -16], [0, 22], [42, 0], [0, 58], [0, -26], [64, 0], [0, 2], [0, 40], [0, 32], [-66, 0], [70, 0], [66, 0], [0, 72], [4, 0], [0, -36], [14, 0], [0, 56], [68, 0], [0, -64], [0, -54], [0, 0], [-18, 0], [-42, 0], [0, 68], [0, -54], [-24, 0], [0, 50], [74, 0], [-24, 0], [0, -30], [60, 0], [0, 26], [0, -46], [0, -6], [52, 0]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 40532602838321654, 'hecke_ring_character_values': [[851, [1, 0]], [1327, [-1, 0]], [751, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '2550.2.d.j', 'level': 2550, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 10200, 'analytic_conductor': 20.3618525154265, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2550, 2, [851, 1327, 751], [2, 1, 2]], 'conrey_index': 2449, 'cusp_dim': 516, 'dim': 48, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 19], 'hecke_orbit_code': 206191987190, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], 'label': '2550.2.d', 'level': 2550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'mf_dim': 564, 'mf_new_dim': 48, 'num_forms': 22, 'prim_orbit_index': 2, 'relative_dim': 48, 'sturm_bound': 1080, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, -48, 0, 4, 0, 0, -48, 0, -16, 0, 0, 16, 0, 48, 0, 0, 0, 0, 8, 0, 0, -4, 0, -16, 0, 0, -32, 0, 16, 0, 0, -8, 0, 48, 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0, 16, 0, -960, 0, 0, 400, 0, 560, 0, 0, 208, 0, 8, 0, 0, 160, 0, -80, 0, 0, -400, 0, -768, 0, 0, -16, 0, 96, 0, 0, 32, 0, 416, 0, 0, 64, 0, -48, 0, 0, 816, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 963298
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2550.2.d.j', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '510.2.a.b', 'target_level': 510, 'twist_class_label': '510.2.a.b', 'twist_class_level': 510, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 963299
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2550.2.d.j', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1530.2.a.i', 'target_level': 1530, 'twist_class_label': '510.2.a.b', 'twist_class_level': 510, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 963300
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2550.2.d.j', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '2550.2.a.y', 'target_level': 2550, 'twist_class_label': '510.2.a.b', 'twist_class_level': 510, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 963301
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2550.2.d.j', 'source_level': 2550, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2550.2.d.j', 'target_level': 2550, 'twist_class_label': '510.2.a.b', 'twist_class_level': 510, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 963302
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2550.2.d.j', 'source_level': 2550, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2550.2.d.j', 'target_level': 2550, 'twist_class_label': '510.2.a.b', 'twist_class_level': 510, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 963303
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2550.2.d.j', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4080.2.a.n', 'target_level': 4080, 'twist_class_label': '510.2.a.b', 'twist_class_level': 510, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 963304
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2550.2.d.j', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '7650.2.a.y', 'target_level': 7650, 'twist_class_label': '510.2.a.b', 'twist_class_level': 510, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 963305
{'conductor': 85, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2550.2.d.j', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '8670.2.a.c', 'target_level': 8670, 'twist_class_label': '510.2.a.b', 'twist_class_level': 510, 'twisting_char_label': '85.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2724950
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 40532602838321654, 'p': 2}
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id: 2724951
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 40532602838321654, 'p': 3}
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id: 2724952
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532602838321654, 'p': 5}
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id: 2724953
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 40532602838321654, 'p': 7}
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id: 2724954
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 40532602838321654, 'p': 11}
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id: 2724955
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532602838321654, 'p': 13}
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id: 2724956
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 40532602838321654, 'p': 17}
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id: 2724957
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 40532602838321654, 'p': 19}
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id: 2724958
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 40532602838321654, 'p': 23}
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id: 2724959
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 40532602838321654, 'p': 29}
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id: 2724960
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 40532602838321654, 'p': 31}
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id: 2724961
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 40532602838321654, 'p': 37}
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id: 2724962
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 40532602838321654, 'p': 41}
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id: 2724963
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 40532602838321654, 'p': 43}
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id: 2724964
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 40532602838321654, 'p': 47}
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id: 2724965
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 40532602838321654, 'p': 53}
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id: 2724966
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 40532602838321654, 'p': 59}
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id: 2724967
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 40532602838321654, 'p': 61}
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id: 2724968
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 40532602838321654, 'p': 67}
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id: 2724969
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 40532602838321654, 'p': 71}
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id: 2724970
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 40532602838321654, 'p': 73}
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id: 2724971
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 40532602838321654, 'p': 79}
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id: 2724972
{'charpoly_factorization': [[[256, 0, 1], 1]], 'hecke_orbit_code': 40532602838321654, 'p': 83}
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id: 2724973
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 40532602838321654, 'p': 89}
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id: 2724974
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 40532602838321654, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 10, 'label': '2550.2.d.j', 'level': 2550, 'portrait': 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GKXlYFg04RmqaM5cU5Rcz02TcO2uZCNMyM2zARsmgnYttGwY5Pisu0uddXk6Ik2X33a49EDMU8ej0hUj29/WYe3vMRQVzMcOD7J0TMOp88nzKfgPrRouOGKBX7uXStsn53gzPlJzq/UWOq4LHcknV5Ct5/QH8H+o0scOtW57InDizcfPLWw68jphc/f+Jq3hfd9/m+eb0h8Q7d/0Ay+vNKhMzL4Dr/60OOHX/Lzv/d38ttfeOgl//bNp5zlzhzL3RZLqw2WOh5LHYelDix3EpY7EUurCfOrcHhJMDe7yi/+wBIvvLjByXPTnDnf5Myiw7klw/xizKmFhPO9mMnpES+9qs+LLwVP1vGVz7nlGmcXHeaXBYMA4lhT8zTNWsLURIwGjs/HdPuwc6NLsx5gjADh0R9qdmwKWFp1wFgpstqHIAaDYbkTsnWDS2+oEMogdEC75rJj84jVgeD4GYdEO8y0Ja2awHchjgWDQDK/LDm7ZDi3EuP7I3Bjbry8z0uuEMy16yyttDl5zufMIpxbjDm3HHN6GQ4vGa6/fJFf+oEVNk22OTE/zfxSnYUVj8WOZHk1YaUbsdJNWO5pFnuS0z3B8kqf//nTQfy2l098pbnpB3V94pKvKBn/bBjX8Wvt5xsqz3n7B8vgH/zw3/LSG6/jZ/7jf/jlP/3bu/7d+//yixfuO7m668DpnnzZlR0u2JKQJA7GKIyx7I2RgAQEQhgcYfAknFmq8+AhyVV7lrl0+4hGDVxH4rkKz3No1iUNVzLou+w/VuOORz2Onw/oxhH7TwZsnFnmTS9d4aoLe1x/aYdjizGLA0HDH3HkjKHTbXLlBZLVUcLeY4pWw+GZ43DRFsMoTBglHo4TMdWCfSd9lJPgyhjHhWEgeeGlA4YDyVUXJnSHCcfPtNi9SdFshKwGhg2TA1b6Xf76Tnj8aMKTR0fs3LLE1Zd0mZoOeeONPb775YY9m1ok0SRHT09w+JTLyXnNqfMRp84nHD4vOLEa8YKLF/jFH+ixcXKSk/PTnFtqsLDqsdSRrHQSOr2I1X7CSt+w3BecGyiWuzE3XLrAT75pQdYcvWt54ejuIIxe5NQvqtcbU198/IFP8Afv+6vnGzLr3v5BMvjf3PoxXnztTvWZL+39fw4dm/8vjzx5XJ1fDVkJHE4PNVftOMdv/sQC1+xpcG5piqVOg+VOjeWOy3LXYaUHK52ElW7Mci9msQMnVwROfcRNVyzzPS8P2b2hyWq/zfnlOgvLHosdwXLHSoSVnqY71HQDw2AUM9OO2LFRAwLfNZw67yKkz84Nit1bDFs2DDi3EvDEwRbXXWRo1Fd4+tA0rWZIGLrMTGmGI7hsx4i/uHOSS7bHBIFhdkISJUNaNZ9njo2ou02uuTjmySMh55Y8ts747N4MOzaFKBVxahE81yCEYefGmKmWpDf06Q9cugOX5a5ieRWWOprlTsJiJ2G+A0ujhB1b+3zPKxa56VKHmtvm7GKbxZUai6sOy13BSkez2otY6SWs9g1LfZjvKc6txrzwknne8xNLXLi1yVKnTbfnMwzbyNqFieNt/uUzvct+abp2PHnVa77z+YbOmts/KIAfPLgf36/V5+dP73jiyWfffujI6f/2zP6TjEJJP4DVoeD8QHGmF3P9BfP8xk8sc/UFdc6vTLG02mClW2O567LSdVjpQqenWe3FrPRilruGcx3Bmb4B0ectL+vwxhdqLthcIwwbrHRqrPY9Oj3FSl/QGwhGgSGMDUkCShp8F+q+YbJt2DAd4bgjDp8NeeqQj46bvP5FIY67yiN7J9i1GT77YMzLrvQ53xlScxRxEjE9BXHk4rgxS0sNXnptl8/e32L3Znj4YIBLg9e9UBOLIU8dTjh6qoYjPTZOOUw1BXVf4HkCJSDWEEaGUQi9gWG1r+kNNKsDzVLfMEwSdm4b8MYXd3jLS0LQLZZWJzi/XLd6u+uw0oHVXkKnH7Oagnt5AGe7ioVuwvUXn+M9P3Gey3fWWViZZLXXoDvw6PVdVroC5W/HrW/6r9t2XPw3O3ZsOzEajYYXX3zJ8w2l/PYPBuCHDh1idm6Dd/jQgR86cvjQe5988kmxsNyTvUFCf6jpjQy9obAgH0rO9iJeeOF5fv1Hl7j2whqLq5MsrTZZ6fqs9jxWeg6rPUGnZ+j0E1Z7MZ2+ZqVvON8TnO1opiYHvOb6HjdeGrNzo6Jdd+n2aviuBBRhLNFaoA0MRoDQTLVGHDxt0Cbk9oebBIM6F271uOmqAZFe5Z5HJ7nmIpeD8306K21efNWALz7is3HasPe44V+8ucveYz4bpyV3PKq46TLF8qDLkZPTXHNxyD1PDYmDBjde7rFn+4hh3OcLjyhIBIdPObQbDo6AwVCijSDRhigGpMbxNJ2+odmK2L454CWXDXjNdTEzzRrnlidYWq2z0rXHZqUr6PSh04vp9GM6/YTOwLA8kMz3BIu9mBddssAv/+gCV++usbA6YcHd9+kOXHoDh+7AEkkY1/RlV1xpLrrwop/as+eiP1lYPB/u2XPR8w0p4B8IwKMokmE4fNND93/uwuVO/J4HH3jYNQjCyNAfJgxGCf2Rpp+CvJOC/Ewn5sbLzvOrP7rAdXs8VrsTLKy06PRrrPY8VvsOnZ6iM4Be39AdxNYdGGo6A8NCX7DQhygJuPqiIZumE/oDwxteHLBrkyZOJI40hBHc/USNE+drbJ6KefpwDXSDS7cprr1E49cGPHJwwMJikyt2NWlPrnD/ky43XFRjabDKykqbTZsMD+5VfN+r+jy012HbBpfFfoeV5WmuvWzA/U8nTNcnueLCPuc7HR58dpK60+T6SwwX7xiB7PPEUcGG6YhzCxH3POEyihRSQqINuzaHvObFIb2+YsuU5tqLIAwbLHcaLHd8Vvsu3YGi05d0+9AdWKekN0joDjSrA8PyUHK6K+gMA266eIFf+pEVrr/IXhydXp3uwKeXgXuo6A8lvaFgMEyIE80Lrrk+CiP5n777u950qNmof9p1Xf18Y+t5z2TGUQ+t+z9w9sSjv7l07sD0qTMrTLYVYSSQwqBN+betBSiEQUqDlA4PHdjIz37A4c03LfOOVy2ze2vI/FIb36tT9z0avkuz7tCrS1pDl4mmYy+YYcLGQDMMDL2Rz/JCjVMnDWGsOT0f4/sGEHjK4EjBYKgQuMQDhxfsEuzZYtixdUCQ9PjcQ4p9h6Z47XU+1162woc/Z/BEg11bBzx5v2LrpGK2PaCm6oSRy/keNGsO2zYKHt8Xcu3FdV5+zSIfum2I57Z49YsMrj/gSw+GfPaBJs8erXPBlga7NifMTYXsno24cleCUhpHGcDQ8H3mJn3CyKU38Hj6oEt/5DAYKvojSX8I/ZGhP7DfvTdM6A8N3aFhdQgLA8W5FUNjosO/fP0C/+SmgKsvaHJ2sU2nX6OXgXuo6A8Vg6FkMBKMQruCjALDXfc86Daa0785NbNx+ZU3v+inV7uDD022G88rvp5XgEfhAAw/Mn/i/l89ceBL09FoQKvuI6VkGAgQAlMyeoQAKWwnjZIGJRM8KXny4ByPHWhy8Mx53vySPi+5fMRkq81yp0GzW6M99OgPHHtyRpLhyGEQOIwCwyjUhJEhigxxYu9h7GE0SCVwHUHNE0y2BFMt2DSr2bZxwOxUh88/Avc+5iL1BK+9zuUFl/a479mIcNTmphcIOsMh55ea3HixZnZyQN3xGcWKhW6E0oIXXOzQaAU8ur/GzddO8OKrezy6X4GZ4LrLPX7425f54uMhdzzUZO+JGjvmFJum60y1Gky0oO6D6xiUBG1g71FBkgiiWBDGEEQWeKMgYRhoRoFmMNIMAk1/CN0AFvqS8z0I9IhbrlnmTS/p8L2v1sRxm/nFJt1+jd7Qoz906Q8VvaFiMBIMRoJhYBiNNKMgYRTalfH0+TMcO/v56f5Q//fv+o6bnW5v8IF26/kD+fMG8ChcQor4h1fm7/zVhRNf3IAe0GrUECJJgQxCSAQCIRRCCKQkBTcoZXCUwVWauitYHNT5yJ3b+NJjXV525SrvumWVK3f3mZlssLTaoDf0GQzdFNjK3kNBEEmiWBDHdqk36YqhpMFxoOZBo66ZbkVs3TAgps/B0xF/fU+NIyebTPp1brjc4carujx4oMPtX23zootq7Ng84C/uFCjh025FrPYDtAElYK49oNvz0HGdN73sPB/5bIM952q88UUDwmiJe56aIUpqvPDyDbzxhi4Xbe/wpUcHPHmywRNHPbZNS6bbgoYv8Fx7EdrjZVc8rQ1RnF6skSGI7IU8CmEYQm8kWAkEyz0QzohrLlnlXa9Z5WWXJ8y066x0G3R6dXoDn/7IpT8sVoJBIBmOYJBeOKORZhgkjEIb7MZasXi+wwc/cseGbsCvvuOfvMScPrfywa0bp/7PAHj/1G9xrrOb88c/94NJ3HvPaPWxWaFXqXl1tIlTgAmEADKQC4EQEiUdpExQSqTLs8ZVBt8x1B3Bykix1Jni1rubPPB0n5uuXuVdr17lmj0dZpI6cewzGNXoD12GgUMYKaJYEieSRAu0ETYLKgy+p2nUYnwvxHMDTi8F3Paw5NApj6OnplDaZ89mj8t2K667tIvyF3jqcIutkw2uuAA2za2w3G1z5VZJrA2ff8gnGEgmmzGve+GIT98TcWK+xSUXupxdHfHMEZftG6e4evcC9z3Z4/5nBEHocenuaS7d7nPpth6Hzy5z6DQ8tK/BwSNNGo7AdyRN31BzQUobVBljL9Y4gTCGMBH0A0F3JOhGEOoYbUZcf1GXd72my8uuTNg87TMaTbDUqdHr+/RHHoOhQ3+kGIwUw0AwHEmGge0bzVh7FGhGgWEYaoYpyBOjODnf4UN/c+eGE6fm3zM92Yzf96FPfvjeZ1f50K99/z9egP/793yQxtZP4PZu+V4ZHv+dQefUJBp8zwXiNFljf1cKhRBYtpYCpQSOUumjxlEJriPwHI3nGnzX0PASJmuCXuCy0p3io/e2ufOJERunBrz9FR0u3T5iNOxzxW7D9k2KIHJJkiLNLzBIqXGdhOPnDEfnBatDzSfva3B6cQoTukzVFFtmHHZucrhgK1yxp4uWi7zv002Wlyd40aUOV+zp8KUnBCJ22TAlaTZiBpGHNBKMRDkenZHg3LLgctPgFdf1+MqjdbbMerzoimn+2bcv8ief7fHQ/ib9kcvSaovdW+pcsnnACy/u8V039zizvMwn7/NZGvgcP+ty+rSHqwRS2lVPG0OiIdKGJNZMzURcdfmAIIi4dHvAW18RsGFCMd3yiaIaZxdqDIYeg8CucsMc2FYuDgPBKMCuBEHCKNQEYWIlUGRSkMMwEgwjQSIcjp/r8MGPPzh70QVbfufFL9gcfejXLvnLc0d+k40X/PQ/PoD/7Hs+wrte9W3ih/6zeNtc/Zn3v+3FjzWu2O3RH9UIQhs4ki6zQlqtLaRBSYWUEiUljhI4Kn10BK6T4DkCz9XUXEM9MjRCw0QtYaouGISSXtjk6Kkmv/6X06BjRBxz3VUDdm8KiWPQRmOMTeJIIZBK4Lge+0947D1Uo1lzaHmS2YZgbkayYdphy5xi5+aES3aukoglfvfjbY6fmORFF7tcuithGPf46lM+k3WXmQnDZCukUbdSSGtJZ6RY7huWOgmdfp2XXrHKw3sH7DuhmGzXeOHlk/zom5b4vU/Ao4ea9IeG1Z7DueU2m2YbbJgasXNmxH9424B2o8OTR2H/SYnrGpQyCKEBY/9nII5h16aEm66MSSKXKPYxpsEodJlf9BgGdkUbhSqXb8NQMAoEo9CydhDarGwQaIJQM4p0+p7J5UkG7l4k6EaCXiwIhzGbVp+YfM3Vp97/y6cX4uXhv7t1/tCk2XThD//jAfhvvvevuHznhPrz2z/2ltMnz3/4Q19dqj25t8l7fqLDxdsjBsM6StaQUiOFh5QGJR2UMjaYVCrV2xLXsZrTcxWBKwlCjR8mBJGhHmmCSBOGhnYMQaQJYghjwSiSBIlPlNTYd6jJE/sgMQYLbauNXQmesjUfLR+u2AztOkw0JVMtxcykw4Zp2LEpYPPcKpFZ5nc/PsHhIxNce4Higm2SPdtWuOuZmHNLE1y3WzLV1tS8Ib70MUoQJxJhDHESstKvcW7J5dpL67zg4h73PVpj45SgUWtx7cWaf/mWJX7nE5pnTrdY7WtWe4qFFYfZySZT7TpT7QnajYi5ZsTOa0N8N8Z1YpRKkMIuhQZ7UUWR4vyCQxQrolgRRoogSh9DSRBJglAyCiVBKGyAGgqC0BCE9rgGYUIYppo+su+PQhhFglEEg0jQCwWrkaQXanQw5AW7VviVH13g5RefbSwvNT4cmA/q+dFlH9/76EeSy657x7c+wPc9/VtcsP2s+uL9Z9969szwQ0/sPVnzGk0+/9AcnqP5pR/rcNnWBEclSFmz4Fba3qUFuKsMrqNwHYMbSjxX2JPgCgJPEUYW6FFkCOPEuiJx6Z5AnBiSRJNorN7W5ODOpJAjwXXBdwQ1X9DwJc2GYqIhmZoQbJiO2blpQKu5yse/EnLPU9OsLra5aodi52aXi7aPSMQqn3+oQdN1mJtStBojnjoMzx5xuHK7YRAorr4o4qo9hvmzCQsrHsNRg9ff0OPLTw45eFrRrEt8r82VF2h+6QeXuPuZIZ++e5alrmHnhoSVjsNkWzHRdGk1XJp1Q83X+J7GdxIcZaWWTFsrjcEmrLQg1pI4EcSxIIolYSyIIkkQWecljGz+IQwhiBLCSBOWiCOIyncL7mEK7m4k6UQwDCJEPOTancv8wo8s8brrBSvdNr3OkVovaf7ZkyfDf/r0Sfdvf/29f5C8+6f++bc2wP/0tk1SiOAdg+GhP3jgqXO1mlOjZgRRrcmn7t9IGCje+soub3tVj6l2TG+Q4Eg/1dlWD7uOgxs5+I5i5FqmCVxJ6AnCSNiTEymiGMJIWgchLmy/ONEkiXUXEpM6JanWz9wZJa3s8RyB70lqvqRZF7QbhsmWZuN0wNxUj9iscuuXJX/y2Rk21GpctUOwY7PLri2anZtX+PhXDcvLNS7dpJhqQ6sRce6Y5PyKj7cbgkgwNyGZnISDRw0rXc38Yo2LdtV41XU9bru3xkwLfM9DyUmu3CP4sTeex5Xn+dR9Uzx7usbGbsSGyZiJpqJVVzTqkrrv4Hvgu+A41mGSqRuVgxx7YScakkQQJ6RAhygxhDFEUWJJIdKE2WOkU9sxc2VSCzK2kqQfCbqxpBdpwlHIhN/le16/xNte0eeWa6A7aDIKXZAuUffZ2mxj+/t/7I0XOY1a7a/ebXnmWxPgf/oXf0ec6B/83L1HfuOex5bbNcfHUYamgQSHoWjy+YclX32mxtmVJf7FWwZMtWMCP6I7qOE4Hq7j4jouXpgQug5eaKVJGNlUumUcYZkoZaU4hiiBJLFOgtY24NLaZD2cKbgtwG3gKnAdC5CaD42aplWPmWzFzE0OmZ1a5Sv7Qv7s9jr7j06ya8JlzybYtslj20a4ZEeXQdzlwb1t6splbkox2YLJVsDURIznOQhhL65h4LHcjVgdGDr9mPMrHjs2tXjxpee5/aEB+0+3afgRrvIQYoI9WxXf/+pFrr/kPH92e4sHn55kqe+woR0z2Yhp1CT1msJ3Bb4rcV0bqyiV2a0W5Qbbw6o1OdDjRKerW2otxpo4seCOIwhjU9wj68qMYksqg0jQjQW9GEajGB0Pman3+KnvXuLfv3NAw3fpdhsMgxpR7JIkgommw1TrVHvQaf1uEF/nPfnIp/7k6uu/41sP4OcXOygpf+QP/vjjv3ri2KmZLW2ItSbSAoEtapUoBu0mqyOH3/gbl72HV3jTzQNecU2fjbMhvW6doePhuR6+5xKEDr5n7b0M4FEkCWO77EZx6mknpNYfKXNLtKEAt01SpswNjrIJE8811DxNvRbTqsVMtQM2z3Y51xnw3k+6fP7haZZXmlw4J9ixQbB1g8e2DYLdW0Y43iofucfhyMkmF2+UTLUkE80EKQNOLxh8RyIFGCMII4edG7o8REJ3oFjpGs4t17l4W43vekWHv/2Sx7FzPq4TIYSLNk2iWHLd7hV2vrPL5x8d8Befn+aRY022TglmmwnNWkLNE/iuwHNtrOIobOAsRV6TYbAXmTZYpyWxgM9AHidW0lmwQ5jYTGWYJY9iwTCGXizpxTAMNckgYNtsj5dfu8J33jzgDTdoHFFnebVOGHkEoUcYOUSxQ5xIK42iMzObmhe85+Krv0vF4eoHHG/yWwfgq6sdPM/9Z5/6zD2/+tCjT2+Q0lD3BHFicNLKPCUFSgq8WNATNTqhw0fuqnH3kz2uvbTLO1894I0v6jAz6TMc+QwDD991CWM3PVgW5HGsiBJJHEuiRBDHkiQRJFoUWlsLclViyBNJSlnXwVUaz9X4XkLdj2nVA2Yn+wyjIV96yvDXd03w4NOTTHkuV241bJ6WbJzx2DIn2bYx5IKtKzx5bMgnvzzHhHKYmxC0m4J2I6IzSPjsV2u0PIMQFljDwOFNNwV85gFbE9Ppa86vOGzb0OLNL+nz4L4eew96NP0YJYUFuW4wCq3W//5Xdbh483k+cneX+5+d5MRKnU1twUTN0PA0NUfjueAogZKkCTL7vbPyI51KNa2LFS5OgW4JAqJEECUpsBPBKBYMYkE/wcY8YUizPuDNr13mHa/uct3FCRunXIajJt2+l4LbnrMoUnmAGycCncD5M89ukN7WX9154c263+v+cbP1zW+c+KYCvNPpsLDUJdH8wBfuuPd/fPYLX5wJBqu0aoo4TTyo2KAS61o4AjwJvoSedBm4ilNdnzMPNHjgqT5/e1WPt75qyOtuGjE96REGPkHsEkYuUewQpUCPE0WcpAmbpAC4Nilz66KmTAiTBpW2jsNxNJ6b4HsRdT+kVR+SMOSLj0r+8s5Jnj46gYh8dk0ZNk8aZicVc9Mem2YlW+YidmzqcnKhxx9+ukkc1Nm2TTDZcmg3od2IEG5Id9hksmUQQmAMRLFk2lfEOqYXefQGCStdxemFOpdf0OLHv2OV9/yVz/GFJo6K0gvDIY5rjELJphmf6y7sctUFfZ45fpq/vqvO7Y9McqZTp+krWh40XYPnGFwFjrTpfCGq1XUaMNpedIkWJAbiRFj/PBGEiU0SDRPBMIFhbIjjGB0FzNSGvP6WVd5+S4+XXRkxUXcJoyYrHZ8g8ohihzBy09jISQEu88RalAiCbp9zy/dsCGP5Py669Ia42zn1p0K0abW/efMTv6kAH42GbJyb+M77v/rw733+C19qD3pdWnWHKDGWDWKDI7EsHtsD7yS2mMlTmnoiGCiPQexwPqjxqQea3PP0gBfe0edffXePy3Z02TCpaDccwsgjjF3iuAB5kgFcS7SRGGMlgckDyjTVr4wNYp0Y34txVUh3GLHQjfjtj9c4en6KR/dOYrTHTF2wYdYwOyGYaStmJl02zkg2zcRsnRswM7nC5x/TPPLsJFdtE0y1JK2GpN3QNOshwg3wfQdH2b9vDCSJZBg4DEcRsRb0hppe37DcdZlfanPjJX1efPkqH7mjRn1Z4cjIAtI4xIlHGNkez9nJGtfv6XP9hX0eevkZji9I/uz2Sc6vNji15OMpSdMVeJkMkzbwzIk8kypYJo+NINYQaUGQwCiGUBtIYogjpArYMjXkqp32fNxwWUK77hDHTTo9C+w4BbZdYTNbUhLGiigqwB1l8VPY5dGH7p6JYvf39lx8zUo4Gn7ym4nJbxrAz54+xIYNG9VnPv23Fz7z7MF2EvVoNV3CSKPilLmlKFhcWrniJAJXGbzYUEsEDSUYKsHA8RkmLkthndsfmeArzw5p+gH/9A0dts3E7Noy5MYrejjCtogJYeWKzUraWmljSsxNmjgS1jM3xCBjnjkqeXifw20PtnjmRIswbtByFHN1w3TTMNUw1gdvO0xPOMxMCjZNx2yZG7J5boV7ng54320b2DzpMNeGdlPRbgpajZi6H/CVA4pR6OA2LaiMEYSxpOYorrl4yANPTdrCp2HCatdlcdXn3OIUP/7Gc5xaXOKBx+dwJSAiNOQACkJJf+gw1aox2W7y4osHvPyqAe985QL7Tmo+82CNB/fVOXCkSSwcgkAxiBQqL30oB55pTsBoYm0wWuOKhAkvpEbEi6/ts3vziG2zEe96XUDdkzTrLmHYoNPz0pXUSQmnkCIZuHPmjkvgjgVRJAgjybnlHufv+nJ778EzF77zHW9XTz+7P7ny8m9O08Q3BeCPP/EMi52md/78wz8kiX5jOFim2fAYBTp1KqwnK+OS/o6xEiExODG4UuBqg58YakrQSASBhlHiMkxcBkmNXi/hf3xkChNHbJwbcfmOETMTMW991ZAdG0KiSKR6W0KJuUn1p5QaIQUfvbvOk4ebCMfh+JkGp881qNUVE75gsmlo1zTtGrTqgomGot1STLUcZiZhdjJm48yIrRu6JGaVj365zbDf5KJthnZD0WpIWnVNqxbjuiGff6BGMJC4G2xgnUmUZl3x+hcOufcxTT+Q9IcJ3YHDas9hfqnBZbtbvPVlXR59psHx5RZKaiBK9bJLlCiCyCZm+iOHTt+jVW/QrAdctm3Eiy4ZcfJ8h2NnV3HchCeOOPztXQ2EsoVrjM8fNBrQYAxRmLBzY8zbXzVktp1wyU7DxhlIYpcgbBHHLitdlzhSRImTxkGpvs50diyJkgzYIo2TCiMgSkTugEWxYvHsIlMz237j4YcfHNxww+4/OXH06XDH7iv/YQD86LETuO65i1eWzrz30P5HZJxIlJK4jrUrBNIOjJcWzLGEWBpiLXBiqxOjxOAmVgP6jqGWGOJEEGpDmAgCLQkSSahdIg0L/TZ3PakxJPzdg3ZkA0an9yyLl1pkIqtIlEiliCMHqR1cR9LyYfecoelqGr6m4UPDFzTrklbdyqGJlmSqDTMTMXNTAVvmeiSs8Nsfq3HfUxvYMwNTjZS9G5JWPaZRD2k2htTrDXxlv78QNtjVGqLIZTQUDIOEXqDojzS9obYtc02PU+cmeOnlAf/ybef4zb91OLHqI4TGmAidGKLYJYwko8CWsbaGDs2aR6Neo+E3qPkRrXrIdReFeG7EDRfFvOuWAY6K0ySQzssjCpDbFUZriRAS31WAxyhwWFpxbN1OksU86T2WRQyU6usM3JmzlSWW4rSUN8oTTRBGoI21ap94/BG5adZ57z5/9OXBcPT0NwOb/8sA//Cf34ox1A8cOPCWY8cOC98FpWzyxHFSlsgbFAyxNKgkDTQTqw3jBJzE9j7GWUSfpFF9FtlrUbzWglBLYiNJtEOkfZLU9irf8iylAEcIm6lUUKsbao6hphJ8F3wHap6h7gvqnqRRlzRqjgV4UzDZ0ky3Y2YmAzZM99myYYn33ab5i9s3sn1SMdvStJuKVkPRbECjntCqR5xd0hw+61Pz7MoFWaWfYBQ67N6k2TQ7ojvyGI5MyuKS1Z5Dq16j1ZjkXbec58jZed7/ya040sGgSXRCrA1R7BCEimFoi6IGNUlj5FD3Xep+QqdnYwzPTWzCzE1wpG2UkNKm80V6t6UrtoTTglzQ0WmVpbZxTZJItJbEuoh34kSUAvzseekxTmvUE5G+nyaX0udRYi94R0maDZfDB58Rrgrfsn37rsNfvffvhjfe/E+eX4BvmGl6nc7qzywvnf8Zo0MpcKzPLW2yQaQFVLG06WMlBYm09pyTGGJtg84kSTNsOgV5Yks+s/eK50WlnPVyRR4olTU3kGbybGDlSG0DXGVXDFcJXMdY39gR1HxJzZPUfUW9pmjVJa2GYaKZMNmKmW4HzE4N2LFxiQcPBHzk7i1M1Xw2tjTthrDgrkuaNU2zFtNqBDy4H57Y1+DCOZPq3iJtPgwUN1xiuGjHkIeenmQQGIajhP7QSUHu0qjVqdcm+Z6bl3niwHke2LsJjELrxJbDxoY4Mnk9yTBwaIwM9Zqi5ml8z8X3EnxH4zgJrmOzw1kZhJS2NBhhEBR6rgjObQmxzhwpndmvJSs2A7a2AC5eZ9nS4p6kK3RmQ8alc24MSClZ7Yby9Jlz/09kWp7nNX4ZCJ83gI9GAzkajX7hEx/7yE8Hw0Wv3XSQ5RMpBFJLhDAobYilIFE2oaASQ6IMjrav7YEz6IT8eZJl3EyWeTPoNBOXJSuMMZQy75UVN0tVZwkdJdOMpaJUtGWzf76nqPmKui9o1AWtuqHdSJhoxky2AmYmhmyZW+GB/UN+4UMbOXFqkgtmNZMNaNcVzbqiWYNmLaFei/DcEZ2RrYZ0lUHK4pMlWqQJD492PWIQawZpnfVglNAbSDp1RaPnU/Nb7NoU8Us/1OHnPyz56t6NGBTaaJJEEycxYawJI8UoVAx9ST1Q1DyJ7xl8T+E7Gte1fr+jslofC3BVruIsn9w0tW9SEjFpLUuSAj7RxaMlI5k+igLg2fOkKA3IVucygem00USkv7fvwFmvHzT+0zvf+b3uYDD4r41G4++dzv97AzyOVjEm+OXjB+/+N0HvRG1uyiHWwkpg0gSCAZnYhE6i7QFNtEFLC+4kBbfOnmuB1iZPI+vcowWjje0iT0tAy3fGAJ7K7jSwtBLF1pRbSeSkrWiuI/E9OwCo5tuRDHXf0KxpWo2EdiNiohUy3R6yZW6VB/YN+Pk/mWX/iWl2TluHpVWXNBvSsnfd0KglNGoRURLy53e0kErhSoMShU2oTbaEu3z/a1f4wiMhvdBnkAK8P1T0+oqO71DzfHy3zSXbY/7bDy/xc38iuP/pjWgjSbRNq0exLTQLQk1Qs+Wuvi+ouQLfs5lNzzF5xtZRGqmsNy6FsY0SGcCLlCeQkgg2l2DdljSQzwCcTh3QeXKNlN3JV9ykDGxNSmikWVST5ioMhiKr+sQzh2v12+76t9/xba8WC0vdn52b+fslgf7eAD954hjGmBcfPvBE3ZEBzbotdkrSzGHOvjL1WDOg5+nhDNzZlZx9WZNn17L2Kwt0YesoMlBnB37sc2UAz2owskxext6Ok9WdSFxX2voNT1Dz7cyThp/QrFtwt5shk+0hc5MdHtw34Bf+eJpnjs+ybUow0yxJk5pDs2brV+q1mLof4roBp5emcJVASZ3ackWQmSSSOFZsnjLEcUQ3qqWdMprhKKE3ktQHiprn4rk1XGeCS7fF/Ld/tsB//iA88OwGEi0twBNDFCcpk2sCX1MLJSNP5RLMdcF1UudKSSsRJalMAZE+roNxK1dIk0KIPDmk0+RQli1OktL7upAfOo2nsrKA/HwnJpWbJv03i3KBYZDw1QceqV952e4X/6/sOPH3AvjpQ59kw+xK4+8+9RVv0O/iOiJtTsi+CCUWtl9WqezEChJpmTpxyldxGdiZDCld4ZkcyZ4/x2eToiiiktLGAhm4lZRpo0QmT6Dmgu9p6jVD3bf6uVGPaDdCJptDZqc6PHJwxM99YIqnjs+xZVIx19RM1AWtmqRRUzTqgnrNXhw21R/ywF5Bf+RRU6QXWdqGZ4pAM4odmjXFjVf0ePCZNoPIypRhkDAYKnq+wvcUnuul+nmSy7Zrfu1Hz/PuP4L7924g0pJI67RZuujBDDyJ72nL3m5RR++o7E4qUwoZJ9Ms73ogz5JCJgN4Cvgkd15Yd+XVqRTRJRJLdAH0ciFc9jNbICfodTvc+tFPe9e/5HWNP/rT2wY//gPf/r8f4MY8DmyZnD982x9unFq+eUEHRLGDShnaSQSJotBjKUCzZcsydonllViftUuA1jmwi6ZgUu2dnwxhC4qETMGdFhmpHODW3XEdy2Sei+0E8tICKz+hnsqLVj1gojVkqtXl8UMBP/eBKZ44toFNkw5zDc1EHZo1QbOuaNQVjZy9E2p+TKsx4p4nPFY7NaamijR5BhitM2dBsWFGccsL+tzzsLZdNKEugVxScyU118F1PBynjpSay7YbfvVHz/PuPzLcv38DkXaI0gpAW/ZqmdyPZF5d6DkSx0mLsKRAOdmxIf982UWYSRWRVaVRJITG77r0qHXpMV95q+DWeozF81qYUtFX+hgMI4Yn+zc3Dh794A/90+/6iS89fGT1lhsu+N8L8JVzi0jZfXfY3/sOR5yhUZsgiDRRlEoQlUbMSqRXb6rbVClo1MUVn8mPJJch5OxdCSTHmTtFepaRy7W3zCroCt2dVQw6Cluf4Rhc1zYW1zxNzUuo12IatYhmLaDVGDE90eHRAwE/80ezPH5kIxsmXTY0EiYaJgV3yt41Sd237F/zYxp+SKwDeqGPUBI3Y/Bcg4uU3VK/OHJpeiNbLhDWmMpAPkoYeJbBfU/amngn24DWcOUuw3t+4hz/8Q809+/bSKQdgkQQJjplcUEt0viuwXNt76qTxh2Osr6zkjI9PmlXfvZYKszKL8xyrDMG7pyESsRUBncO6jKRlcis6pgVxV5BJDh+fonAPfqOGx5/4vAoiP7z/1YGX1k8zeT0lp333fmBq6LeECV8XEfbCBiJVNI6JMoyVKJEKXAUBXOXapKz0WjGFHZRHrnnB7DISprympmxdjmozJbbtENHpcGU46SdQWkRUlY9WHOTVDdH1GsBU+0BE80eD+yN+dn3zfLYkY3MTTjM1RMmaoZWCu56zdqJGbjrfkLNi2k3Q/YeM9z9aBNPSlyl0yCu8Ciy5TtKFLF2eMV1ERde0OfwiTpzDYo+xyBhMEpZ2FE4jpt3OQlhuGIn/NqPLfKf/0jz5WfmGEV1mwyLDY20htt3sSB3stVL572tUiX5CqekKAFclEDOGr1SgNxUAZ5XKBYr73or8/h7FRs4yY6NLdtt+IqoM8/Tjz5y1c/8ux/defTYyeO7d23/5gPcxCdBNXctnfnyb/ly4TuDZIRyFEpqXNdG4TIxJNLWYWtpiig7kyo6kyNizZKW+cMm97THXJI1bknK3OPgFgapMlswrXlRKWs7Bs/RuK7GdzW+F1PzYmp+SKMWMD0xYKU34N6n4df+chNPHpplNgX3ZN3QqguaNZF75dZ50Za9PQvwuh8QJgmjYY2ashdZZp3mOMmstkQSx47V8k5AEBqGkSgBXON5CZ7r4LrSThWQbg5wBFy9W/BrP7HC//irmPv3zXCm02bUlEwmhlZsqKUTB3zXpN5/5qSYnL0zqZIBPP+86Ycu4zxXiOlJyVbVAtxVSWkdkhLYx4Be6PH0wk9zI5njoqSg1x1y5MTKd378Mw8kN1x3zb99Yu/8sRdctumbC/CTpw6CbL4o7jzyFt88QrvZzrNbQhubBpeFp61lCdymqMvOJIkFtUiXtixhU5UiZYBnh7isCrOTYMc9ZOxtUnliSsOBbFms6+h0zESSg9v3UnBP91lYGfKrf97gk1+dY7E/xdyEZK6WgrtmdXcjDSzrvqThm5TBrfau+SEQcufjHiuRx4xPpR4bUV2hksQ2P7R9h1ddO+CB/SG9yGci71jXeIGtVfccC3BHGZR0EdImaDBw6XbJb/6rLp95YMgv//FGTi1OMZx0mPQErVjTiMGP7OhlT9mBRm4WaEqRB8HZYzlQL1+YQuS9Ivn5gTEJWQZ2KX7SZfCXg9ASi1uAZwyeOjEG4kRx25cP0Z6be8uWzd6fr3SHx76pDH7y3IiZKf+i2++9618nS/fzskuGzC/XiSJFLAxS226VRNgsZaJlYR2Z4rkpa+0c1JkEMYUNNc7aZVmSHuiMWbJ0c+YCqAzgythyXCfr7bT9nZ6b4LkxNS/C9yJa9SGOM+CeJxI++Nk2t923gVC32dAWzNasLLEWYOaTq/QuUuYus3eE4wR85dlJBqHD5kb2ecYZPAuyJVGsqLmKF182JNYW4MNI2K71rHM90DY4dNLZMKm9J9LkukEwOyl4xyv7tPwz/PFnh9z77AzzUZ1BTdKODU3HWJA7aRyiTBqXZM0n2TEURe24BEnB4uM7CuZSJRtRwbg2L3cPFbXnJtPjZeCXbMVEC2JTeOejRLI8UJw5/SAnDz1Kp2f4Rm9fF+Dn5k9xx91fYrI9teXk8UMvn3JGaFwcldgCtFSa2ISBQGmZXpFpQsDofGqUTh8rciTT2qTJhAqwS9ZD2b4SZkyaZFk50nIA8slXGXO7ytZi+G6E50XU3JBGY4TnDfjL2x1+/U83cHhhGtevsaklmPYT2r6h6UMz7bCv+zbbWUsTQrZ+JUlXAitPFrsJ/dDDUwpPmjzApPRVsgs7q90IY5e6O2LT5JDVQYthJNJxazZWcN0ktflUancqC/BK4GorH7/zZX1uuHyBX/uzEX/x+TmW4yYD36XpStqOrcHxHfAUeTOEkyV90pVP5lKlSACVSaUqVspAp7ICa1OVmoU2J0/Y5eDOVrUM5KmVmskV6TosrnSIgkt+/rI9V+697RPXPHXVdW9k584d/2sANybhTa+/adfJ4/vf1z1ziK2zU6x0bXmAUrYcVguD1BplZCmgzGoZKF7ror4hCx7zg4AoSRIxJk0ycJuCTdLsmywDXBqU1LZq0Sm68i3IYzzHShLfC/DdIcfOxbz/M00+8eUZjpybot1wma7BlJ/Q8k2aes/ALVNwyzwpVEu1t+/ZC6fdDPj4VxwOHq9TSydw5e1iFCjPxzgYq8Oj2OHSnfDtN/T44Odm6Dcc2unsET9M4walcRyZjq2jBHK3dLLsqrBjVvKz3zfgqt2n+KPbpjkyP8FyXGfgOjSVoJEC3ZPGXjipy5SvftlxzexDrD4vMp1mrU+eEVNWOpH75mstRZMDulRLVH4vy4CmLA4w14DFhQZf/Ernqh/cvfHWF7/s5jd0ur2vK1W+JsCN6QMNlufv3yaDJ/ZsnDpHo2a1Y16wIwxaCpQRJFrn5ZZFgU7G0lXAm/y97CCInAUKVsho21R0YAZs+1hUKiqpU9ckY+8E14lt544T4/sBnhPQS0Lee6vHH39mE6eXJtGqzvSEYtozTHiaRsrcjTx9L9M6lVSapN55Dm7PZi+DKOTgKZ9+6DPlpy5OlnTKXIksC5sxVCKJIod202H3thDlj+iFLYaeoB4ZggzgTpImapT1sWVWArxe8KqYmxjw49854C2vmOePP9Pl/R+dYXHYZOjUqDmKhiOoK4MfG8vmaZ2+I4vyhizLuYbJWUeujDssQCWWyvR2icgyJtf5BT8G9BQvYIcyxbHi8X3L3HbXs3s6obft22+5/lhnEDLR8P5+AB90F5DOxJzrylvr3OFunPFt+Wk6OSkL+XTKyiqXIDqXJDlj5z8rATv/AqJg7vUvtZIdaHJgV+SJTKvkVGIB7thhQp4bUfNCPDekMwr5ypOSv7y9zUe/PMMoaeF5HjOeYNLTND1Dwzc0vALcNV/i+xI/lSY2MZQ6EynAPddmPo+eNdz7SIMwcvGbZk2Amd3Kq5rWdgSG6zrcckOPj3yxz/5TTYY1O5ohcA1eDG6kcUONUtL61lIghSyG+1Acz0RLYi1p+A4bJ4f8x+8ZcNmOgL+4vcXDeydYGDYZKQ/Xdag5groEPxuwlNmr0th8gqAE8mrNynhxVpnRM4Iad8Sy10XQKUqALsm39HfTRdu21YUCgceffOox95Uvv/7WpeXVFyyu9Bf+3gzuehvkwrkDL5o//uWJtjLU/TDVvyYfDZbVEWfg1ekgy3FQl2VJfs+Anf4bZQavFP7YHh37t/OUss7LPa3uNjgqsQBXSS5HHCei04+472nBhz7X5vZHJ1jutJD1Gq26YtI1tD1NwzU0PEPdI2Vty9x1X1LzFDVPUPNIK/R0Cm6N71r9rZyAA6fgdKdmEyupvq0mTor6GdsHKVKdKQlDh41twUXbhzx1ImYQuQTpjG8vxIJPZZN1s0QNyLE6jZwNUxsySmx9+NtvGfK6F67wpcd6fPjzbR7e22ap16AjPfqeg6cEnhT40jaCO9LuUqdEcZEqkZb9rsPga+pXxpm8RGiaUuBpBAmFq5Jkw4kMJKV/X+mS1EsSbvvM3RMTHi+6+sqLPsfXGB70NQEeDE74NS/4A4/9TSnB80Kk0HmgR3qV2g8uKzXE48/z93SmQ0sALx2QCi9UpImhXKAv8/pynT4mdiB+5mbIiIVezD2POHz2vhafvHeC890molbDbbm0HZhwbSdP3SWVHVD3RHqXaclpqrs9gZ+xdwZwJ8bzYmpeiDERdz7qc/xsndlpgSt1qmNF0ehbYru8/DSVFMPAZedGwS3XDvjEV0P6kcswEtRc26/qpZOlilVK5X41QlZkir3LolFBW7+97ge8/ZVDXnPDEn/35R6fua/BPU+2ON9pMBQeQ8/BcRWOELaFUEpcYVKpZVCIkjSs2ofrkHl+bnXpUaeFW4U8SbW2wTonWAfFpO+VLyCRTmKoS8mXnzjV/LY3mD/Yd2T+MmD49wJ4070bI7vUthxEa0WcXlJaZ18kbezNQIxcR4pUgV85CdkFsk5NYCWgLAFbCJ3agRqRAtxxEjwnolaLGAUJ+0/DsTOKv75jgs893Ob8ShPcGk7bpaEkLdfQcjR111B3oeZacNdcO5PQlpnK0l2kPzcpyHUOcs+17WmHz2ieOuqD66bLvCml6EUFBeUgLEmymmk7zvnK3QGXb+uz73SDYU3QiAV+ZAgUqbWnU/bO3JTMgiy0Su6zp1ak1iqdPuAyCl3q9YAffH3Am25c5QuP9PmbLzY4dqbGvtMNwlWf2HcYOQ5S2am+CnDSx4zJc+lCEfyvuZXdFMrsLXIJkpiS5ibtysqX9XStMymhaogMDDX0lwbc+vknmJz82rtHPCfADx07LvbN9//1nff+xqweGq67cMh1F9tBNMqFJJJEoSQxirzNycjUKZEVGVKwO/nvFuAuXfIVRjAlzWeKtjeh010eEnzfTlKNk4T5JbjjLofDp+rc/WCd0yt1Dp9pgu+jGg41R9F0DE1HWxfBtYPza64d12ZBnN1lelcpwEk1dwpuN8F3LXvbCyvk6ALsPdbAlVV7MJcoFPXguaOQOSk67WuMXS7fOeSiDQOePhIziF1akSBwwIvtTEBVAriUAiFlhckLpiyVseqs/tz2UUaJS+B6tOsh3//agJdd1eX0Spc7H/I4ctLnC482OLNUIxm6aOkQeQohpV0p0q58SZrxhFy2rAfySqBJOUuduS0lMGeNzzp9JO2xDQ3EGuFopJPwwksCbtgzYvvMXbM/8v3//l//wj8/8p6JyQvWDd+eE+Af+cR9RFHyjvd9wmt2ujvYvbHDFbuGvOK6IZfvjtkyFbNnV0LNSJJIpmN6Ve6ejIPcSpNilEPRXjYeWJpSxF6wdi5FVILrJ0SJ4chJwVNHFHc82ODpox7PHq3TDXyC0AfXQ7VdfCVoKGg4mnrJB/adrE4jK5u1deF+Kks8T+F5Mr0ATKG93cRmFl2r82tehNEh55YlgfFxHIknDU7JZhsj8Bzkian2O4axi8BhbjpEqhH9yGXgCOt0REXBmKN0JQMpM5MaIBt2hMBoWTB5aTCSm6h8/MQg8Ng0FbJjY8R1FwQMwyH/9GiHp4953PFAjaeO1jhyokYUK/AVRioQkkSWskF5kmIdrVIR5+uxcw771GpJCrBHGgfNnt0hW6ciLt0V8orrQ67Yqdk669AdLDcHi199x1C47/l/xeC9cx/j4LGB+pU/PCKSwKUXT/DEUY+nDg+5/cERE27Ejq0hV14S8tobAl51bQgGXCem3jQYnX5pLYgjC/YskLTBZAZqUTkYQtgvL6StG0FohDREoWEwsox+7JTkr273GUSKx5+tceikz2LfI0g8cDxQLqqt8KSgrqChDDWFHWem0sIjZVnbc4VNepTB7Uq8VJb4HvgeqWtiU+auo/HcOM2IRtRrIedXEu64v0Wn5zM1IXBSLz4r+hLPxWy6FBBqSRAoZmcUr7txxBceHnKi02ToSitTHHBjgxtlnnXqscvE2oWUZ53I/G9o45T+hgW6lygSRxG7duxDFLnWSnUjml7Ey66MefFlAW9++YgDJyVP7HUZhoq/uKPB0XkXhGQwdEhClZVvYpwM4GOWUTl9WwE4YDQiMQhtMFgfsd6McV2NQPOqawNee33AFZeE7Nya0HYEM01FFPsMhnWEqbO8cEw8cfIK9Tsf+HT8r3/kTd8YwOMEdm1rvNevd642RlPzFENZQ2vJwtBloRdxdDnh/qcTbv1SxNxUhNGGay8OefurR7aeIDHMTWiuuTKkWUtXHyPyHNjacy7y4TydgeCJJx2WupJ6TfLgXpdPf7nGKFKMIsXZeQ8tHCLjooULjoPwHRwp8ZSgJg21FNi+MvjK2BpwJ/V8nYK5vawvMwe3Sns0Rc7enqvxvKxAK8nZ2/MilAq56zHFJ77aQnmOtdsq+vu5GTzzwpMkczwUo5HLm24a8smvdPmLOyfoxzWaqQ53Mx0eZUkZk3cLCSFzgNk/JUtavwRwnY52cCyTu44idhycOLFAVwlK2UH6U7WYmy6JufGSCCMC3vrKAaPIjnP71Jd9HtrrUfcFi13FE097dAcyVUmC5xTl+c4TtjXwmmtCZicT2ySTaN7+6hHXXBRhNMxNGqYmDQ4Sg0Mcu/SG6ei+yEObmONnzl89iJrvVcr8+DfE4EvLXSanWu1bP/WRSw6eiZUB6sqQIAkTHyMc0BFaxwQ65lzH49xKAmgOnNB8+i6rm0ximJjSvOjqkFbd1v+um54sX+qp67DaVzz8lEe3o5COtDNRjGOZSTi2PUg6IB2klLhSWDBLgy81nrRA8BR4qpjRZ0EuioYHxzYCZI3HZXBbhk/Lat2MwZPSPcZ3IowJOb3oEQY1/AmJl6a9VVqVV8liCgryKlmneXe6VoSRy1RLsX02xBMjhrHPMBbUHTsEM6shyRJaSpbLW2X+t+zfSC1brYvsqdZp80khjeI4SfMGKp3LHhPFCSqyuQS7OUHMtlmdrhiay3aMCM0Q6Wg6HcHDTzmsDiQqVyzVoLpC6MZ2bTVrhhdfHTExpTGxXdnrCpQtn0NrRRIrRlqlM1kc4sQhju1dAFtme2pDffWSl77s+9o//n2drutV5xquAfjC4iKrq6vvueues6/snA+Y8CSj1K/pIwiFgxbSAsyUh+0kxMbQMameUobuqubsXc3SV1wP4GX9lp4cIdDZlgukNadCFUGOlKmVlYE6TTtL0o1bM9+49OiknfSKdOs9cnDbti6Fl4Lbc8hLTC2DpyzuaLw0O+q6Eb4fcXJR82dfaILj4UpRBJi5PBFrGLzsD2dDQi3Y7IkMI5d3vW7I390z5NlzLfqJSyO2m9LaKkBTdOKoLCdQDvay0sVMCslSgVd213ktjOMo3MTOS3FToCtZJM1s3Xj6XOh0cFCCIwzCJMw2NN/2Ug0iSWUmILL9M9Y6ZAUcBGiHJCrisziSRCXDwg5QVcXx0amsihVR5KCMxGP+lctLp99jdPyTX5fB77jjTpSU3rB7jpmm3QW3KI6xXmgopK0SNA7FJKlStwLF68StVCus830zdssAXg1ehJR5C5oS4AqbVvaFrRZ0pX3tSNKairR7PCskcijNQSHdma3oqi8ALnPZ4nsmb2nzPF0anBPjpuztORFShhyfFyx0awjHwZdU5Iksf63S6S5LhwrwUqcjjF1m2gE7Nw3ZNx8wTBxGCfiJwE0Mbpzq8JjcWSpS6KrSqZDFdhYoWVeVKEkjjZNoEiVRTrZ9uUqL1RKk0ulKoQtrNgW5yP42Ot08zOSuVwb0zAErIFC0wFGKx6zpsF7+RNpgOff0VU4EQeSy0vPonF/l3OpdnllHIawBeDQ8TSIETT9Ix/2a3GD3pUAJg2sgMoLYCBKj8hRsJkGKP5Rlcb6GNBHCLqt5L6BAUqSIszHLrjC4IgVtKgGy5/l7KdkXpaDkDbaeEhbsFXBL++hlQM+CzxTcWfePo3OJ4jpWn3peREzEZ75S59xCHXdC4ZVrOMoOCmOKtJy6zqosS0mfUWAn2L7xJX2+8uSIblxj4DjUY02YptOVLAqisoIzITRF51AWaIrclrTWYTpTxZB3XDlaECuBk8h0FztbyxOnQC+SaTpPsNkNw6q5CSHL4E5t3nyvmOc4/3kWu0j8ZfkVkzty6QWqi7sxInfbTs0PGZ46vu4/XwH44slPo5z6S5dPfemGUbTM5x+vE0X2QCkBSINE4GiDlxv1RSbKIPIJUxlTPSeus3uWLBCgskdhcCC32lSaMrbzTQqNqzJgSzuCORuFUAZ2PgdFYfsR1wN4FnBmutvJZIlJ9Xa1ltxzIzw3ZL6jefRQHRzPjoCWJk/P5wxOlcXtORUlH7jclypzTzyKXK69MGBmckhnpcEgVjQUuLH9LiodnqSiMsCxIM//kByr1BRp32RaDKdsKbOrBYmSJErbntoU5OXitawcQmYgL4E6K5kQ6BTk5CUdOV/nmc+SxWCK41Et1ygnCrMur9T21AKNBXfNj5meDNl/OubwwtwN7/yul7/09//8i/f95LtevT7AJ9srKLf/bYcPLFzzpcdWOd1pMuHZ2oRsuVXGzjLJujY0xYkqrsDqPQd1+t3KZlJ2lWdZsQIcJmfw8RJOJ6uNSGvAs1JP21ycdapYWaLy7pUC2FnzrWXvVHM75Ho7swQtYxfgdvPqxAhBxG1f9vnK0y2k7+BJYedv5xWERRtdUfE3ns0sCtV0PgPQ6szhyOXGK4Z8+8t6vP+2FmHi008ktcQQxKQrV7nqT6dyTo9dUM/F5KAdmbcSZuBOlEQpbRldynS0RLbjnS4BvARsWS2jKGRKtkiXVnSxlsxNWbaMJQPHi/OyvIoQtvZo48yAm64+x9kH5645eKL3bXES3rcugz+x/wzHe+3XfeGeT33fn/9dzIPPzFFzZAqsYihMeeDOOKjJku7ZRVr63fG6hTK4MwDIEigkRc1DebRBxtx2C5LsNSmDk7dhVVg87YZxVRXcdpzCGHOnPZte2t7mOlnDQVy6R4RE/M2dbRLjo/LsZTnALPoaM2ejosEZa9fT0k6HSmTuGAhc3v6qAX/+mYBVHTFMagwTgRuTs7iUBhmLvOjM2oXjtUeSwpoUJZALEicd66BSkDsGpa1cSZRBJbaC0WaPZV6aXFiU5erOoow5b0rJgV5IlTVybWxtLwq1yoxeXvvtzWZqHW65RrFldj8zmy/7vmtuePPdv/gTx77g1HZVAS6SEGUGFx45Eu95+lnFTN1PnYli7NjY50qvPlMB8te7CVFi8pI8yYE+Vp6Za/ExzZmBvjzbQylRaPG04q4y7CYFtqNE4aTkdqDtuLeNySZl7iLAdErs7bshjx6SHDxTwygXJSWe1DjjdRolAT7uomT3rD81a4DIkj5Joohilz1bIi6/oM9XD9SJlMcwFtQkuInBiUUq39IunDjV4UgrFyp/srTcl8ZzVBoM0uZwR+kU3Gk7mzIlcGe1QCYtE8iYnHz1ECVwk5Pj+uy93q3K5AWoq/kT24egBxJHeWyfCmi0oj3BMLxQx/oLaxh8ZXmJKKzh6CHbJw3IJK8Cq6x4JefHjH+or/nxTeXfKhfOV4BeArfKa74L262QLMJ2z4sC3DbIFHm3uJODW1YAXh7+Y7vtyYGdZytz5k7wHJvYsV1BEYaIv72zwdJSHeE71ncvX4TjNShjx66svcusWvGmtbXBZqclb7ulx6OH2gRJjYHyqCdWi2flrEqSgjtbK3TqiWdpcABZYUPrj5vSBVbuiZQona1IJn9uAZ7Oek/LlUX6vS2oZdEcMc7gY00rlWV+LQ1WfIn8qcnYMT2uGiIsOYxGPhMu+KsrJPEo/29zgN/6sU/hKMX8+RWmW5IgthlN/Y3Q8tqPsu4t8/8LeTL2WAZ0mcUr48UKxpZlBleixOKZXJEopwpwz0kHALnZ1oFphtMxuHkqXqfPk8rdUbZz59njcOvtLQLpoaRKs5fVC3E8gyme40jlTkrJTdEpg8eJg584vO21Iz70uQFPHqkTKZeBlHiJTt0jgUxM6TgZ214mymuqTv9Wdd+iMpMnGpzcQrSjrVVaEqASUwzrzOeyiPyCjsf0uD2f5WI5SkyegfwbA9b4SOzqf2+JIY4V/ZFk8fBRjp1YwZhCojkA3dV5WhMbG+9///t3r64u40hBLE1xJa2fW39ufK9zUoUYf75Wez+3RBE5cMbHIcsSY2dBZja1yXGyTV5T7a3GwJ2l792sMVnbmSF5i1jW0xmn9wjlhhw87dALPVBOKk/MWHns+IVbPRjVgUZjXnjajVMkfhyaruCSrSOePBiSaJ+h9qgltmbbSTW4EnYjV5tYythSkwWZBZMX1Z5Zh7uTDza176l0aKqjSTuIDFIXEwKyVsUk6+7PDYAiuMwDz7HznQGlItnWc1i+IbClmeB0MP9yx1Brz+7+nu/9Z41jx35gsGvXVgtwEx4n7p1/7Uuur7/7/se6rAwcam7RFlapCBPPzUaVKyy9m/IyXfpvcwDIKhAKYBd9jKrEiqoyVDMDOUWNtCqBOn+eJnkUqRduwW0BXAwFcsvypMzeKu3r9EKWe5r/78daLA1rCN+18kSayqpSDM75OqItrzlKx06X3ZQ0dR/HDu2Gw099V48vPdpmKfAIpcNQSry0h7IY+ZAyeLmeXmiyMlqDTsGtMcgxZ0WkDG7yID0Du5IiZXAriZLcRSGXKYUOL3BTyJQs8CyAXJ6BOE6Gz42qdS6KNKCdakccOLXAMi949xfv23ffaDT8O0gZ/CuPPorv+Rw6vp8D8wN64RS+m1SzceUPIdb9e1/zg1QAPsZuhQYXBcjluESpDqbJgS0FUhXjx1QJ1I6UOKkkcXKAZ5pb50Gl6+gc3K6T1V9U2dtVEZ4X8td3ujxzuA7SRUqJn5XGlqzNfI/49Es+ZzUhBZsX3eUFyGMt002eXK7cM+A7X9blQ5+roR2fofTwpciTPkoKolJAN87koszkYxZcLlUUKGNXBdtjSz7b0bK6oBgrUcyiKSbT2j5OIavyJHdWSsRGBfBlvGSf+TmkSQVTtoVRSUOrEbF1wxLHu08yPx8TpzrcAbj90QkadY+Hnpjh4NEFtk3rdNuPAmjjf2DNrJLxDyLWPs8MM9IDMQ708vKetXvlbJ4z5NcDuCwArko11E5al+KSSxFXFW6JWxoOVGhuy96uY6dWrXQ0n7qrxWLHh1rqnohSMPYcEoWsRmSMnNa17fKpBBKdZG6Kw1Rb8R2vHPDJr4xY6vuEymGYyNSeFKl7I4pmbFle9i2wjSm6fnTO5kVvpJM5Kyp9ns521xISRX7cyyAXUpS677Mhnqk0qejx8vAjw5qxcMJUgsgKhkpkngeo6d8TaZlIf6S4fIfLzZuhManRaf2U8+TTB9i4YWrXZ7/40L98oHueXbPKypPyFtAlZJdZvBwDi9JjWZYYxk52xtRjDF5h78rBShMnFWBXZ3+XO1zscHeq4M52NsiYW5WYew2DZ+MmipETjrKZy6PHBAeO19D4COnkzblF9WA5fhAlV6P48uUcQsHkoiRPRO5k5O1miQPG4dKdIXs2j1jaV8cknmXxxMoUp+TiFOxZLvRKBXdWRgtpHZEoBZ9Y6y0Fejm2UdriQUtS7Z2dl4KMcnBrkc5SyTR5WbKZ/IIviM/kL8pUUCkxZuzioPieWf5gFMzQCQI279rwLzdse/Hji+duOeYIoQmCcFPTM69z4iU2THkkyXMw9PiSkv18LDYYlzTjszQyQJdT2ZX3Sr2MhTMhSsFmAWjL4KSjgMs+ePmebmmtyuAugTzdr95NS0Mz9lbpa8eJUCriM19tcXCxDl4hT9ySdVm5YFk7LmL8Vh1zVio0Ku9ulpXRhg4XzIa88cYBDz3bAO0SJ1aLu0ma3U2qUilnzooll4LcmMqsmvy5TJ/LdFWR2d0e+yRdMaRIWV1nK6zJialI+JSfW6CU29vytpcc3OMYM1VcVUBXyJRIAKEg0R79syPqs/J1E0GwKQjNMafm2aTHREuxccZlEErCSFuPduyElIOCdXDO2N/PmWuN7h4DdfZ6PEDLAC3WAXbO5kqUmnBL4E7nExbbdrAW2E4xICgf8eboFOSxlScqot4I+ep+xd/d1WQ48qDh4EiBK6rSZPzzl7/zugBnTH+PWYZlXzyKHSZaDm9+xYjPfWXAg/s9TNNlmPh4gvxCU/nfL3RwVVNakJsKjHRxgSnL5om0elyXWDsL6nUaXEotSvpblALdagxV6O4iLrDviRzo49gqr3rPjTND5u8nGoJIMb8I27uSDQEMR+AoGSEI8b2EZkMQRLZ2I5GUU0rr/xnxHH98nK3XAFxU2U5UJ5oWwaXIQZPPy1Ol3Ruy/ThL4C5AnpXNGhynGKHspJswOaoKdDdna3tXygaYnhcShQmfu7/Bsyca4LoIqVJQpXNDSsGlkNWTWl7F8mNUZm3Syaxj8xvL1XOZXRiGDpftiHn9S/o8caxOEHsk0mWoFV7C2GfJvHDGGNw+mrHPgsouNo1WdlKZMWCkwCiQptDj+YoqQerSLENdrBpyHODjcUmF7ETO1l8vnlsPi8UgIcFgpOkNAoajIYPhCOcn/9ttIBUEXfzQTnbKymPXg65Z913WfDiRaXYxdpLXYe4qqDPGLgeYxQ4EhTQpWYU5Y2cALyan5hIlZW7L2CZnaid/LJ67aXDpqAjfC3n6uOALX2kwGHrQdJEiqxykZA+uk8Usfc/KCSGts8CkGthU3ZRywqdUgBVGLq1WyOtvCvjkPSOeOOKD4zHSEi/V4krbDXbL0kAk5PLADhspRU+qcHKctIjOShTL5tmqkgX52liwS10k2oQuuynpOdcFs4/nONaQ3xjo1yDva8i8ci2LkprLdidsb99BbXgvKtE4C/MLaASeiJjxwfjFlhaVQLKUnl/3760L8LHA8uuxuCyBvay5c5BbvV3OZiqVVhimFYW2nSt97pTng4+BO7272RTatMDfUbG9OxGuGxGbhNvuq3Pv03WoOSBtQ7NbKuGtlMaW7+UX652bUl14btulDVKZo5KMFfsHI5eXXzngjS8d8MzxGnHsYoRiKBzchPwziaRg8eIjrM/k5SH2SmXMbdncvhbIdOZ74WZZkOtykJkyeD60cwzc4wFnAfIi8Mzx/LVAXTp+UFw0jjL4niQOR3Q7Q5IEnKu322g/jARhIGyJad4UUrrSzVqxUsF36XIblyQFe4viA2UAL7V1lXcWqAC7IlXKafrSXY2BW5XuTrEJagZotwTqzDmxjol9VCrCcyMePya59c4W4IF0EULlXUQq3Ui1nHUtO0JFWCTGAFYcz4oO1yUNbgQ6sa17dgqtytP3xji8/VVD7rh/xMOH7SSBSCsGiUgLvlLQJZnjYKrgKX0WY4xl8RLQs5+qFPRapvv5ZEFxpr1lyubCPubnMBuzlo/aK6RI1U0pSZQxSfd1AW6qakII+9m6A4ejp5s4rovRGmeqbfscw1DTl3aSUR79l1h7vCnnuaRKmbGLKzQDfGnK6pjuLqSKSJMFhfWUATyfk1cGedqaVmw2ZXd2KAbgF+CusHbpMWuszaSKUjGuGxMlMXc/WOepQ3VwXZA2uPSEKU2OLQdWYk1gNS5P8uNZepI3QJRqRCrVhYlEq9RRSRyC0OWKPSNe/iLL4sPEsnggPEYanEQUgV+S2YWpI5GU1+Bi17px61JJMMogjUAZbPbTCIQRGAHSiEKqlILKgr3T86rLF35prjuiQoKVNP4YsETpuFH5nFX0yQRGoWIUOUjlgDE4SlmAu46k4dtRYNnB16Y4COMyZa35XnyajK3yWujKSS8vW1XHpLpHzFj9iSDfeyffvThrvq00PBRblyg1Bu7SUPzcPVEJyikBPJUonhNx8Kzgw59rEUQuNNxUnpC3pqnyLsH5hVta/b6WRDFVoJdlSnlzAG3W0+IOTV/yA68fcNu9TfafthdfohWDRNkqwyRN/iCs/k5E4VZUXOX0HJeAI02hxWWq0aU2GGnPkZHCAlyXYqWMyXU5lqrey3sVVV2mMqjFcwN8DH/lycTF1DRNQwg8KdFao/7gvb+zsdlw//u5+dOXuo5AOSmLl8AmKwCsgk9V3hNprUj1rtZ9X6bWXjYOOH1UsmL5jd+zkQlljzt/dArdbR2UKrjLe/UUxVTp7g9OlDczuE5IIkM+9OkGf/6FSfB9UDWUcmgoQ12ZdBwFeYOzW2qNKzKp5USUpJgMSyVALWKJwnbMLlohSRt/i15IJQ3CaLZvCjm9KHnkKY9Y2MkDWiiEsKW068U91VhJlPsQitemJGpSsFcYtER6VQ2ftpZl72XAM6wTb5TzAOMTh6v3imzLx90VW4fHCUQxhJGdxjsKDRdc+IJNl1914xedUe/YZMPtvGFmIiKMXIII4tikG3KafNuJ4irJLCZRuboYO3hV77N4LivMXX2dL3Vl1q7UgZuK9pY5GApJokraW+U7PZQ2olJmTJJklYIZe0e4TsSBM5KPfKmBnb9i2Tvv3M/+vqAyXliWvnc50BTlFzmAxsChy7UhxVxBG3imWU0j0YkiUakWTxy+55YBn7i7wd5TLsgQIySjxMUhrRfJjnU2qjXJEj/ZuSxJJ2NfG+xsrOyzyfTcSwPSWNmS6W5p7N8wOvXHdRqgVlbnqouynjSpSDrxnIteZcUrmjUsyOPYEEQJ3d6A9uzyG3rBsUlnqtmFuM+GyZjVvoMQgiAT/QlokdVLmIpGK9/Ke0COa+7s8TllSVnHyurzMsBtF0m2apSeZ0DOqt0yDV4Ct53IqtNHawcqpVGZ361ilIxRqTxJVMyn72uy92ChvaWQ1vvOO2hY9wQKxl+PE8F4o0i1AbniiZcmUjla2NoUWaTww8jhsgsD3vTSPoc/4hMmCoRDIhyGQuAkqX1HFuhmjkopwLIdjqXzaqWJMmltCFaaGGNSLZ7ehSlS/MJuGymNQGcypeSDl8FeXlHGwU75cfyglWXdGMAtgxvCKGE4SlhYjTl9bkSQDHEMVhI0aglBZAhjkW7IWixfxlYk5nUT1VMkKqxdkHnZDhr/gmsTAes3N1RZO3udsXYG9oy5c6CrMpMXultlQWS2xYnUOLIYmq9UgutGHDmr+P2PtxlJl2yCVtE1n64g5Rro0vdYU6fwHLfq8i3y1r/KbHVd1uCiUp+SaIc4cfGTmJ98S5+P3d3g8BkHVATaIRIuQyFQSeFoyHKwOQbyzJs3gJNdcOl70tj0vMGkrJ154rrC5ib9O1raIihZXpnHyE2ItEL9Odj8uQ5hRQ5lDJ4YkkSnDK4ZBjYQUI7AqfkrRMEqUkZoM2bKy/RLa4MRoiRRysJEVD/UuhFyKamTVrmtx4BlYIsx1s4SKVVw60KiyCqDOxV/OwVzxe8u3aVlcdcJ6Yaa93+yzenzPigntQZlKk9MxffOn5dOUJWlqomudYFOmZWyxoNyj2aWwpf5PW+GkIokdtg6F/Cj39nj1z7s0YlsQGCMJNDK2oZJ9jkMJIJCYRcgL/7f/kSlaDKGnLlVltnMAlBpCgY3pXOXWoYmZ/D1Vjsxhplq4FkhzOcgh/Lem9lOywLbjTpMYgZxhPOFr07S7WiWztaYnbbsXRB0esVLy+bVP5gdqJL2Lj+WQV0C9zgYxpk7A3bB2qXKxryxwOSNryrfsTdlckenjK5zaWLliC5JlYyx4/zRURGOH/HR23ze97dtAu1aeSJULk/ypuIxS6yiu/PVS4wdq/VPVIarwiosgz5L2Ru01nl2M0/ha7sVeM2J+fG39jlw3OOPP221OCgSIRlpG3DKhJzBiwKsDEVF6r5sV1pQF5LFmJTNRQEwSzrG2oeVxI+VMXldeooHXSa5ikQRaxl8PSdlDOQ2AC5MDs+VvGCPx8uv99i40cG5dKdHt+NyNJEEUbHTbHbwC8BW/1QeQObALpi8vOSU//vnbE2TpWW0IlFMKchMt+gubxmoyq6DLkmVDMwlJpdFdWCuu/NHO2tweQU+9qUGK0EGbgtwV1rt7YiqPKmsOpldVjobYvzsUNWQ5SU3s72q8oRi60U9VicuJUortLYDKSe8hLe8esAn7muw1FMgI9CKCKvHx6sLq5fcczO5zQMVSaGsPiULNk3K4jmgU59cm7XnXKbUblVSKmVycJebkteqgq9FEJYg09qk2HB6wbDvmGJ54OHUmwOSpIfr9un0XYJIVioJK1d7zuprr7Qyg48vOetp7TzQKLc95YApjYiQpqK9CyttbVCZDacpwJ1UAswsyMz2uXFK7O02Ym67q8aDT9XRJe1tmxoyeVKtN8lbs6h+34onXiKJtbeUPUvxTXkb7HIzhCkHnUaiTOGLx4mLo2NefGXIt79wwJ99xgMVgpAYIQi0gxLCbkGSBZqiAPW4XMmsQWOsXZsxu5KFjDKyVCgmrQlRYe5U7hpZnG+dkVj6hiwBtJoAqiZ7itCmpBZKNylAKIES1rQPTcBqOMILApyvPCU5v6DY9wxsmUnwvaLgqbi6xq6o0odaD+jr6dFsu7uCSdZmwMrdKOVWqDKwCxclfa0MTjpiTMrUMZEm1dUlSZI5JrIkUaR1T3w34vAJyYdvazHf8+x+19IOeleCYseGsXhhzfcs+87rsPcaBqJg76p3PLbVYrbvUaXr3uYr7KPd/mRjM+EHv73PfU/5HD4nQUSAQiMZCVnaRMqeg1xmVq7CUmIv+/88m5mehzKbi2J+ZVZDXo6l7M8KmSKF3ThYCGGLdkvsbTebHUvhZ/jKZhGmn6043kUgK12YnlBctkdw0SWa9kSC03TqDJw6jvAJIju8MWvWLdqeSrYOa8GLqIJ7vd8rA7uiuUVR4ml1uim0d8bcKgP8GMjzGdnjz5Nce2cs7mTjgFWMkglOagt6XkSQaP7wr9vc+2jd9rZJx2pvKW3Xjijmr+SfNVtZqB6LcSYv41yMgbuawSxci2KP93L5bLmM1rab6cxRSTSxdFCxw8uvC/mxt3f5hT/0CGJpM1BaEqeuitSi9Nky/VpaoY1tSaP0+VQ2YSG7KE3aXW/ASJMGmCK/APKgMwdhsfKZEibKqzuAMIVWtz8vupIqeMpp3BSFd/nEBEkcNgiHDUK3jvOya0acmQ9ZOQ/LHYgTjRQy1cNiDVvJsQ847m2O6+9KwU2JzTNgFzp2HfYu7T8v15Mn0uTd3nbbbF2SKKWxv5nuTmdc58GljHG9mDsfdvnEvQ2C0IW6k2vvnL3zwJbKfT1vv7KsQuUEjdN3ubApH1NWATcYlTK6rtaKJ1oitUy3Ty92Uqs3Yt7y8iG33zvkjoeVtQ2xzbWRcBhmq2j6KbMKv5ytZdUKLuzCUl2KTD+ntMPqhShem1SaZEAXObBFytylYFdStDeOKYIiWDcFzgzpKpB59AUGVVpRKgQcO5uwEMbUWzFOqFc5s9Lj4YMhWyYlUtk50s6YFKkW0awFPOsBe92LY+z9yki2krcsS45Fpn/z/dTt61x755NQC2A7agzoqgC3k4LbcyNW+4bb7muw/2zNShNhS2JFpr0FpQlSZg2481WI8kkpL/lf+2a9cJFbctV7eYzw+HCgokZFSoXUCVI7RIHDxZsivv1lfR7c69EJ0/Srtno8RJHtAyFJvfFKGW2x5hhscie/IKV1W1Ta0lawObmNrNNjpDN/XFqLuTxCwlQA+xyAXk/qiuKzSlMkqDLsOQqaNc0Nl/dYMR1G2sO5/f4ZzpzV6DDbozD9h8plrGOp87V/+LlBXf5ZWYdnRUoV9hZZUFkAuwB35oMXwaXMB7ObCmNXAsoskVN2UaTtlNck/Oln6rzv4y27NYsaZ28K7S3X+dxjq1muF8uH/muwd6WSjzFQ50y+tpVNZ2l7rdGJREvriyupiRIXqTQ//uYBh864vO8TDlFcgFwjCIRE6WyQRArucmtbDmpRRIKy7B6nKf2MzUkzm8L+myZdnU0OdFOJ60wuVdfq7wqYTREflGMfnZGHxG5gJYtRb1IaPMfnht0t6s0mzmBkiBI7Pth1ZKq9i66ZvGM8teuq9b1VXV2WH2XAr8vg5aCy9F7mcWfMXszES73vMcdEZuBWY/JkbM96le49YzV4hOtFHJqXfOLuJv2+C3W1lr3zmu/S6iKKBE9Flo09hyLg/PoMXgJ9SbJUio10Vu9RArrMgC7R0mpxKR2iKKHVjHnzKwZ87st1Dp1NT6QdUE0iBMM0eS+EBQmI9MOIFMAZqFO3hDT5ky84mZOSpe4te9sZ76IkT0pAl4WDI3ONXQVzptuLn6X/HkUgKyX5oC4hRD5TMdYQRoIgdJDS4LsJzmS7RhR4tBuKhi/xXYXnZFOh0m7tDNiV9LoZA3r5nmmtssQpfeDKUm/WyJNsHJgqsXg5sSNFeTB75pzoynYbsiRLpEwdk5TJHScmiDS3P9DkS4/V7dUtXQvwMfbOiryUEFSCYYqTUf7uGcLF10N2ldCrQC/dtU6zh/kO0lZCWt2tC5miJYmQqESihSIKHF59TcirXzzk5GddAp2eRFsJRYzDSIDUpW2rhMgN7Cz1o/JlKHNU0lpxQQ58hCjI3thzakQaeJaBnmXKMTYhlJdwmBKQq68rP6/UwlRrogo3xbpKUeyjTR3nmiu2rx49Gn5usNz+J1IYXDcr80xLOEvsXTnB68mQMohLzLxWf2dOBKXlKwN9ibFzYGdAL8pGq85JVX+rPP2elJ7HSGk7daQXc8/DHr/+JxMkximcE6kQQtp9gESRlq8yeNnxWZ+9K+D+WkAfS/aMp+zLckWTTb1Ki7FE4ajkmlxab1xohzjWeF7Cz/xQl/2nHO55SKI9kULWfoFIK4YVQWVKsmQdTZ574elqm33elLAyHZ4Fj5pilIQpAxVskkiMSZIx1s4mV5X1uRDF3xxf4RItiCIIwjqrw9nPzW7ds6pedO3OfhwsH27U5I8JknwnsnzkWdbIWy56kqS9kUUx1HhZa9YrOV4wZZ2P6mP+b+e7h5UDyLFkTlrj/bXAXZYqTiWhY3stTy0Lfv3DE9z3WNNuyiNtOxrSxZGCugRfkm5yZdbWblfuaQN0PiSnOowoq3mXaqxhuqTri9eidNGPZXXLZFCaAyjGpV75ZwZmZ2J8x/Dgkx6rQzm21Mh8inhRcWgRJirA/0au1tKFMCa/Cq+/PNy+eL22tny8pryQSTkvpP9NvomAtiXeQaiJEodjJxd+8OFHn93vNPwkbVTIxl2N6x+ek5WLn1eZmjGmz6eMVgY0Uj05lW0xqtJErqO5sx0G1r2rcmCZlsKmzxMv4cOfnODv7mpiagqEsugUDkLKSr9l0d/4NTrmSw5AHv6vPedrPHAz9roMCPu82m0/3uGj0/mBJmVuY3RRoyIkUisS4SCHCW955ZBnj7i85wMOoR8XABcCo12CtJZDZPn1xJrYBlOAMk3AGNLsZjpX2+SMmj5Pz7VJdXZ1QUgdF0qMnWEksb8jbXZoTS7FvrZWpCDNiuosCC0miCVaEyUqbZY2OIPA7pJrtMB37fJfro9YYwE+RwBZWX7Gg0/xNYAtCs1dpOZNRaoUxVU69b3HAK50CuAM5GVwJ8hS7ckdD/n8yWebjJJ0Cr7IrME0aylMRXuvm5ovA33dY7OOVHmugqs0uMu85/WYa7yE1shSZlOWnBWhbGGWTIuzpCbRDr6r+aE39rn/CY87HrN2YeaNIwXaOATadmzlRSTj1mGK1JxphUBhUlCXQJ41PYjMHiT/nUxeCIm1+UokkWUn86xoLkssYer0dVbRWvbNs+yrJQZDrSap1RRaa5xGze5SjEmQ6YSjRBfFPtmpyTJfa5hbPgeoyxdBaWZeFdgZ6IuNjGRlic6aC3QB9IoO11UPfJy9ZVIEmE7EIIBf/uAER077GKfYLbmivTOJVAH2GKBZB8w5hAXlh68lyCs9hpUlOlt+19Pja2tTtEwrDmWZxRUi0QjhIEPNBVsj/usPd7j/P/n0RumX0TL/XAkOI5N+xqy4WxcgN9LSpsrAlDosKg0ojSTfMtWITIdnYE0bIbJjaChlNDNiFGtJohRskuJJlwilfBxtZ4/tQlNOQmJitDY4V1xUQ0pFGPRYWRnRH/kEoSSOq1EqJdBm560M6irLm2L44hrmK0aKleWIENnOAWWJoks+eKkvMWXznLkrrklpd97U83aciDiB3/toi8f21aznLTPmLpwTV1RliRJrJVkO9jHmJmWa8tDN9fh6DZOPOSdFAwRFMVPaUbWm2lBYBs+DTi0tyBOJFuk9SaWK1lx7acRPfXeH3/rrScIkZXHIo8IERaAzLZ7m2ksgzyWKKGU5hd2g15TZXILQmR8OyLSGJHc6qin7csxAxuqGNURJLm3GDqGxTQ9BZOj0NcJroOptYhPjXH3961Fui97Soxx65tPEi3PEcTaEsUpC62nu4n1TufLW1J6UgZ2zenkDo6osKfR3dX/Ggr2TQpeXkzqVexpY1hK++IDPH3+0RWfoWg8w9bxJm3Stc1JkLculvGUdXoxmW2cGYTW3lr+unI91WHsN3itAL0BeZe10KmwmScpJIGFtxEQqpNH5nu/tmuZH3jrgkWd8bv+qgkacMnX6CaUg1pIRWUxRgNxgS2PJbUvreaexqi3rzSRM2llfli+2F6AK9BzsY2RRxVe5p7eKs/Ix0wbCGI4tJrz6217Ia2++iuWVPs5yz6VW8zl2TvHMcYOvJFEssu+7RmPngC5Voa3R5Hx9YBc/G5MlJUlSyJRih10L8KTqd0trBcp8X3UbWEoZI52Yfcccfv/WNoeWvLRgwbK2fZQFe5e8/grI15MnFWkyNq1prRqpqpSyu5CBfD3HIHcU1kvjjw0JygqxjM43lRWZVBEGIR1kZNgzHfOTb+txbN7h4GmBccoCS4B0SVKQMwbyzIBQOeulfjekLC7yQDNrZsj1d0m6ZEAvJ4TWpO3z+K+8S0QJ8OX3hLW0677g0l0jLtoes2laUnfBOXzaZWZKceejPh/7ZJPvuMllqm03Q80aDAovsgzy6jYUVZCXEz3jOtyU2HqMuVMtrlIZUjB5SXcrnb4eT+YUQFcqQcoYz4+Z7wh++QNtPnFnA+OqIh2fSpP12Luo+16bki8f3PWSOuWLvtDhVcBXWHsM7Nl7a2tSyjo8A3Q5AM06fyyDS5E9T4PPRBOjcaV1VTqB5N2/qTi3KsAv063A4ORMXgZ53rqYanKjraNidCpfcjdFpEFmweRyHOgl0stdkHENXsFW9rycMLSlAY60WfhNMw6vuE7zymsjJmYTNk0kyMmGR7vZmN85W/vCTZdvIghtoJnXfWTNu7Lwn7O5I1W/OtsNd6zSr+RhV2pHSsDNf152SFRhDeZ1J6WKQTWWqZSpa2Kf21qTEM2nv1Lniw810loTlcuSKnsXuwaX5w2W3RK5zgkoqvLGtHiZsMV6qF4rV9bMDUlPZR64ldrIMgelrMcTnSV+Sql9I9FGpe/Z53HsIIzktS8c8aaXDPBEDHEMOrtHYGKMMcQGRhoCLYg0RNpu2x7rano80cI+mvJWhOluFYZ8q/ckCwYrv0d6YWb36paG+fOkuMfZ301M/jsZeZ5bvYjTC9Nf0GJifhC0UL//3t/hDa992WqzLlcbteR7o+A87YbA9+yuv2Ugl2eSlL3r8sySioddLpgqvc7HPpTqSsZLYWXFCjQVcJeZu9wR76TgdpyYRGo+eW+d/88fTXB03k+bGIqEjq05EfgSatIOsnfSMXDZbPEimVOMhrPftRjMn0+5FSClpDwMqTyk3/YMymriplwCUb6XA9p1MsgVX17aqrq8FEKy5ncLrzh9rg3T7YTLLow5eV5x8ISDziPCXOwCwjogmQwrBNhzLF2lFav0ojqLfCwHsCbJU3aXxNiFn61Y5F1n2UQrBERRxMbNu3D9yX/37L4jD1x/w0vtHj3NWohyYKoZoScSWk2R13dUI1Yz/tnJdrMd1+Fgco1dyJaSQ5Lr70yPj+2BnskUVbgmsiRFMnDLUkCZWYKum3B0UfLHH2+y/7APLZVLkjyxI2UuTfI+S0qgyQBUZu7yXZY0IaVldp3zXbwuXJT1kj2WtfVYwqdwUWQOgGr6XgrQ2u46nHnjImP21McVwtipV8Z641FguHRPxA+9pcdDT3kcW5DFF9aZHrcyJJaCURYPZNV72uQuiinp8rxGpay/RfZ7xQWXyxTI9XpFphgobx67Lga1/W+ilNX7OmZxZcTMypAgCIF0E6rdF1yM49Zp1QI8vRflxNZ7tEEzRmfabLzApbAM1waea4FdzWSO+d9jwBZ5cKkp3JSscKokS7L3RMbeCcs9we/8eZu7H6sVVYI5sAtp4knGxiAXcYUSZRZcawuuB/xxC/wbvZW763kORjPZ8dcWUDqdDWhECfylTKcUxjYYaJOC2+pxIZS9jIQmGWheeU3Av3pXl//2QcnKMP0cmbWRbrNptEOcItBkAWfmrqQINelzlTkqglyHyxLYC6uwIEOzXkKxRBLl41lJ9ZtifqYNRiUbN23jBVddQa8/LAA+ObWJ9tTm24cLn/r1rZvid4dhiNYOUSKJE9v3p7PZ1VUCrwRUoszkZUZfzzkpgz93R7Kf6QrYy7LE/qzkd8siW6lUzEgY/vDjLT7w0Ra9xE2zlVXdbWf3Fc5JpaiKKrNUfPAyU68LZnuQqwfoGwN3efhm5qJUajnKQM/np4h0IH0x8i1jbi0FQqedWcbq2ySdXyiEJtEKYkPLjfixt/Y4t6T43T9vM8ykh87YvARyaTGASC82gbUGtd1lA2zAqQR5Z1D2XWRx/Y5ZhUWlYNU9GcNXmQNSYMeJ1f5xAmFs8GoNHj+4/Os/9WOX3n78xJkC4BPTWzj37L8YtGryaEMNiMI+w7DOYOgzChwiAUkiSsN/iqut/LzYfNQCvJj6ZHJGH2ftqh+uS8xdDJu05bG6BG7rfcs8W2ktQRzNswc9/ur2Bt3IAU8BGbAz31siSKVJfjeFrk2zmOtmKseZpeSilN+n9N98I0jP0/XlwqSxoiMLZFO6CApnJRsUJKS0YE5Bbu1LiRa211ZolTK7tQ6lNsSRplWLeedr+3zhqx6PH7BZR8vQ2aNIWVoRZzpdF79j0toUI+weQUYalC4Ye5zJc+87tQrXJHrKIDfVQ5jp8UQLwgSGoWA1FCwPNVO4PHR45ei13/0rg8c/9l8KgAMw9b24bpO9z36ao4e/xDUXxjRqEMWKRFdrDiqnLGe2aqKnsBHLPni5sEqXsplloOsxBi/cEylKWcqxVLzjJjx5xOWnfm2Kpw76GFcWsiRncFmyBU0+yGd8p4b1rMF1a9/LiR1B6VVBO9+QXDHVp1VffNwutBV0tt7DSpIM1DLNaEphXRNhQBiDNhnw7YQsoS3Akyx+Cg1XXxjx3nev8mO/InjqUBqcZLSbeYAYyJicNNATApfUPsxa2lIZla2K2c+yjcUzSSIEpZFvosTgJkucFodyzHHSqRPTCQXGC7hpzzluuelmXnPzGxmMBrxmHOAnFrczOdHgI3fs4H1/s42ffseQd7yyOKiVK6sk/sflCeWgkmIJKoO4qsELz1ukckSso7tz71sVwJZpQsdxNT0j+YOPN3l8r0+iSqwtinoTSG3BcjODGGu2KLHy+NzBNWMhKmAvrWRlVH8NhJsxYJcRbsp9mpX3SxbieM24sXO7tU5dG2En0+pMj2O1uEillBAKoQ0JGkcYrr0s4J+/uc/P/JZLLxbgkrN3ztgI0IpECMJsZooWuNJACuyiE8h+8Cx2yCpNs+RQ7olDNdFjSp30Wdva2C075p6redtrVvlXb+rRnPNpb55Bx37+eznAJ5suEw3v0JUXTBx+9Qs27Vla7HNy3lD37b9upxKNs3R2DrPn1WxmUTZbclTWBfl6zF2k5GUWbGbgFglKxCiR4LgJAw1//Ikmt36xSZCBWZbZ2/pxMiWmIrBcZ5+dMnuPM3Yp3qgmc0R+0Nci++vJk3H2HgNGSYdryEcZV73xAvAW3IVUEcZqcS01wkgLGGPsc20QpGyeGDxheNurB+w97vDHH2/Rj7AHLKPe7BEAZWVC1pOZp+pt8JmxNyWJUg4ys0IsWQF2SfaZ/KiOBZ726DjSoHyYmRBsrE3z5OFt7BDbDl+yuX4oTDTFp0xvv/Pb/5NX3/LqwzNTjQ0e3Vf4coTveTjPVadd8rwt2zGWdl/fD1/jmJQSOhVZUvK8y7UmUhTWoOPE9CP44Kea/MoHJji37JW6c7JsZfZa4gjbyOClNd/ZOAgn9+fL+/8U3zG/AGR1L8jxLVay7VfKg/5F+b38Z1T+nbIMKs9ozD3tNeM71iliyy5GWfo5JcDkcnGs1j+Lj9KAcLKdcP3lId2B4JnDDmEsSv/I+DVr/0stsgu1ygCC0vtrw/F1GxjWBN1jLJBNJnYVNHyYaSt07NFo72B2bvfvnTp58v0XXnztWgYHiBIJyvuM76vvdIV7jSAiSdkBUQVpxSLMgku7pqyTtq+ytijLk4r2tu/l9uC4LShK5a8qQdYMf/eZBr/6/jbzy64NKuW47laUM5Z289bqAPuK581zed+Fzz1+viun9BsS3c/N5uW5hWWpAuPMXRqSqW2Po2XrVJqklqEwhScuhMybBDL7UJBKFWP1dRQaNk8l/Jcf6bLUlfzFbS2opUtHzuSGvNse68GHaSxq61FMztYqZetci6e13XYDq6KX06bxTVUKpyyepfjzqQzZeZJgjO3giRLz+IY5/zODvq4cU1l+8U++47WsnLn3vo1TwcOzk+B7STFYfk3nTDn5UgVp/ihKj2MFVHlfpSi5JRVwJ+uAWxfdOb7m0CmHP7utydmFErjF2F1KhCC1BS2gnTQxMd6pU26EzsFMhZSK4DFdM8v6+xtUJQVrfa2fl7xvXZYl5QuBkibXpVFv64x7s2n7cjpflsZP2F5Okw0QCiWbZxPe9W0D9mwPIUzAJGBi0OlzHdvXJgFjk1OxgUBDmKb24/S9pHIvxkKvSd2XPneii9+JS7s4ZGUA2ti0/Sg09IeGoycGD//+B++474prXlM5js74gb3wgk0IIViY7xKHCZ5r7N7t6fhhmxIuAkrKC1Gmw3MGNFSLq56LxbMLIwW0sIHmWuZO757m8BmH/+e9k9z5SA1q4zUmZe/bet7ZGAhHrtXa60qF8u9UmjrGrEOyrpNMMY7ZimN6fj2XJLsqynvhrBnpVkq0le3BzB0RaYC5XlGWwNaFCC3TJJFEhJSgAQAAMEhJREFUaBBCW688FQyJUHl2MBnF3HL9iF/6qQ4/994Jjpz1LENAiclFhSINkpji+xT6wqb7lSl55CZraTM5I2cdZJk1mI/5EZCQ5ZbSabbYKQfGaJpNj5kNW9G6yt7rAvyiy29BKiccjTr0l5fxXY3vxbjpzggZcO1nt+CuWJUlh0Wmvy/XAF2vTehkQea64M4YPUa5mmPnHX7+9ye49fYGoUi7oyn3VxbgHg8sy40MFcYekySsA84cwKXfKduBX5O4yz8co+8MB4IiqKz8Xpb8yR2Vap04Gegrmc2iEULqTCsXyR9rK2aAL6LYzGFBS2qO5u2vGZBo+Lnfm+D4+dRZqYDcjIFcEFPYiFqCY4qAE2xiKP3YyFSjlBc/Mf71dfFDid1m3qTWZM3Azu1beNtbXh/GcczP/PuvA/Bac456vfmfNmzcebmMjrzSd1bwPTtARwr7l6o7YqUHOfsMuTY3OdvnrC+oaO0C4EkuZUTmnJTdk8wOdBKOL7j8zO9O8NE7GoTZvoLrMneasaQ0PDMDNawvTSgHcGOOSQXwVbZeQ9t/j9s4risZTcbT9vaPZnv7ZAxebYyg0N8VHV4GuUxz3RZgdsyDyofqxDG4KuGdrxviKPjZ353k+HmPdA5z1V3Jgpd0mnhsbPCpEekYwYIG7V8sfTedzhsssTf5d04TWRSrnRTgaghjTWuuyUUX7b7rgt3b/lOv219zXNcAvNFocerQbd12y9uvJ+Oba85A+Z7t20ySYvBjsdNAdXp47omn0fka9l4jS1LAPwe489eO5syy4r/83gQfvb1BmO0rWNLaCElhC6bsLatdOuuxdwbmciUfjEuRKqDHA8yCv9bu8/iNoHs8wBz3xYs37djhovYkzXCmIBDjYM9ZPd3EVWdMnnUcWZ88TwrprOTL1qzEGBw0b3vNkDgRvPt3Jzm7XDoQZesw8zFx7I+M1eIi03fpF1H5JZUtW9mRy+CfAVzk2t3qekFsbHmtQlKTgokpL1FuY/+H/uoL3R/63tevObSSdW7Wn1z6qZnp+Mkg7tAdrqKcDtOTPRq1EZ4TpZV8uqKzyyDONbesvvf/a+/L4+Q46nu/VdXdc8/OHlqtdnXfly3LkmwZ2wogXxwmTmLgAcnj5SDwDCSEFxOcl7xneEkw8D44kHAGQ8C8JP6AiWMbEg4TkG3ZxtjGsmVZt7SSVlrvau/Zmemj6v1RXdVVPbOSjGULOyl9RtPd09Pb0/2tX39/twVuktAS1gRu5YIPZLkHB/jyPUV86/t5+IzGiQvp7JzWNm/TY5nm3TavTpTLVuUhTPt3K36tPZmEPF98297MJqeObfdOPlNePftpmo4d5wYfl4onjZVOaiubQm6PBNPx41ww8IjCCQXefNU0fvfaKhwVmK2UTG4qoUr5lL1wuAB8AfgcCAzAJgonrJepO6j9GhFBNSIYCzgmqj4YqugsjqFUqMJ3s08dPzl5w0xKu9NqY+/i16N/z61Rgy8RN315FKOTPjavmcZvbKlh1bwQQAFRnSFCojipSFBJUWzAk5nATW0XPFFpZ8prSSJQxgGH4Afbc7jjB3k06AzWEvVCYjVJ+uoYgIYJdJuypEFrOnyUUDY5oglotUNTmOyZgNvY0aIpSKR6k9UECugiNQFk0oBM3JXJu9wwHZrtwhP6Irt6KGVTsg6mJSqPubYXcbz1ymn87FkH338oF0cSmtLbWCZChyhzAQQAiPaGmnCUvISq35O6YELIiVELBEhYw4ZFI/i1LVVctMrHVC2HnUObhM/Hot9+22+cOcABIMz+BqpB/Y6BkdryHXsHCz/Z6ePfHh3Fzf91BJeuCUGQ1dkk6ZuppOHpwR2b/kiUcHIiOTclIZgbgTgE9z6Qw4f+pg27DmbihOFTANygJqxJsTQleHMZuiYPJpJlTV1SvMVy3aevw+nAnXJjNtMTktjAYSqWKZu4UtpM27heFjBt4jwGPbT1RHYlIyDSjR9zHULkRJEzRJ4OIyHWLg7wqQ9M4EYKfPfBnOQbyl1oeTphcHMJch+xYDdAri1R2hueXDt1v9TfvmLDSdz8zhGsnu8gCIoIsKi6dfaWOwjN4+Y/aH2NGWYYn771Vly65YrHl80v/e6u/UfaGM1gYDiLk5PA5lWA52TQCOSjTFviFVBMr+epJHca3CqRgYSgTgTqEtx9fw43fbaMZw5lJbipqgKboiZxpCClUnJnqNCpaKp5lENsb2XikUxnJJnZNiRZJspbmSyTpvekf7vyYqptetmcaDQ98eK/YWXmJBlECWUyPcjGS3kyYVuDtOBJKc3JRE0AZ/fIkbY7pVOBC3R3RFi3IsSRQYY9B1lK224xs+M/ZnovTceZVaQ1fqKqWuwOlZGsnRUff/K2MWxcmsXoeBknTuZQY685MTlZ/a15iy4OZsLxjBIcAH7tmuU4MTSBe3/8OIYGp+G2M1QynTg+5EN0AJFIUsqoULU0TE+mVB4TTm5IaRKlwG2YAlkEOBLcf/rZMnYeMME908umJgzNEYIqC6dlEVFDWqcDqJIbnwKNIaqbpDUhIASnHyIlyWFbTQCbnuhi+YDBuxP7uLaoEGHRloTbUpA4815ZWdR2JbkRRyJKCcxAOLTSCRAgiLB2YYC/eu8EhAC+80DeFpeWVSVeT9OV2JYtn/Txup6ISSyLQwU8xtHdxjA53oNdBxkcGqIuPGSwEoRUTnl5TwnwQlt3Ixqees/5S/u+uY/vLXS1OZg/J4vxyQie00AuE8B1IxBEoLGFXksAI7iKEBPYiaROS26pVErO/d3tOdz0t2U8o2iJCe44K8cEOIkviJ0db2fIp3l1mpJYCmQK7KZgIvH/llWQJNvMfc4A3xrE5roGtulL06ZDk36YHJ0YDiRigF7SEjMbyDIbxllAhCK2osSsJI4QJJRqmiJdLgB84LyFAT7+/glwAfzr9pwNag1stZw8pjikNYRBJwaBkuS36nvJBDIOkPM42rMMuw9UUKtRdJYbWLhoYZVQ8p6A9jR+YYD3H6nzjsqyR9/x65mJf/jHgUIhA7QVCcJIoO4z3fNdFUJPey+bPZhc0xVC7ewcJbk5o/i3h7O48dNl7DqUmcEFTw2riXymEZKOFIwlNdL27lQCL4AmRw8U2ElqAtjlDRSUNY80JgmSj5twblr+rG1miKxo3j+tTDZJeZ7QdpXHSZAGuopfiWscxlycUiQKpxCSo8dPAR4DlQhZGk2fmg+sXhjgk38wASEIfvBQVsJfaYzWjCWxBinLN0cAAoK4FbjQ5ZT1JVO0kskCwA4DxiY5BAgmpvLYePmVE7198x6tTY81uy+NQU/14by+bnR1tg2X8tH1V716bdBVCZH1JGD1BbXulDpBkbwUsC0PpZlAnEhuzih+9LMMPnhrGbsOZ2aOL0mZBBW4HdLCqaOk90xKZKvtFsibt+lb1mLbCx1NwDfQ3eTgRMrpBttEmHyGxFSoOkUI06pCrRIU0mxIEn+HYNqUKOLliDNwzsAbFKsXBLj1j8bx6k11MG6aDeNlrkyKKnZF6NiVSJs5bWuRMS3kE0UAjSDC8edqKM9aGQyNhtdnsuXhbKH7lNfzlACnzEVj6gCWLus9tnzZ4gOZbB6cJ7VMVKirjvGmwpKGNKYnJJU8nLjgQ1ASgDIO4RD84KcZvP+TbdhzKCPjIVtKbtYMbrQuu8ZI2hRoFAGFaRlpRVmay66lgQ9z2VS0UoA/rTWlBbI159aevzRwAaSBoWzJBtA5t72bSUyLAjmMWio09hxSDXo7KItZIJddlyXIl88L8Ld/PI6tF9XBIhPUKbCLCIABciiQS0Zj2cV5krkTRQI84mhvL2PR4mUHOrvnHnvymcPIZU9JQk4NcACglOLef33i8OHjeFelawWEiOC5HBk3ghcHYSUpZcJSKLX1REceRiDE8FKSEMyT4L7v0Sw+8KkK9hzJQJyWliivpQSlTiBWGrgJ5FbKpLVN2BLdQGQrhTMttW3wCms/+fnM8BZNC/GqUiaBJo6eEHKVZZ9WRhOpnUh1W9or77MGsPEdzmniARU0jka0Iw8VyCNuOIR8iuVzA/z1B8fxmovqoCGX9RyanEHxclweI+RmxKGkLpGQycQBJ/BDWXMwiIAwirDpwlXoruBdAwcfO0zpaeF7ag4OAF5hEWq1aWSzueO7nnbuf8Z/9vJCdgT5XIisF+ggLGUhUZYT26tpxnYbqWaZCP0nGR56Moebv1TCnsNxLuVpwS1RxkjizFES25bgojX3Rosgqxg76UmgBzE5dnNmveLhZjxFkxXmFEPz8ljRSqwmMXAJUhJcaKVM0xICi8Ob3kyiQS4SAFPF3Unc6SHWZ+KsfBlkLuOHROwMMmNQKKR0FYjd7yGwYn6Az3xwHP/7ixyPPJlF/0kAXvwjFVvWicyyVnkgACfOLZU9g0TspheIBI2V6hCdlRLmzl9y//oNlxyv12vI5fIvHOAAkMvlcfTgI/vaK4XPrFm96PJo4gA62yOEkUAYyccbYplCLfNgYiWRklulm0VwMhH2HHPwia+Ucc/2HIbG3DMDN42dOYAu3OMS2dfTrifYongPEqmu+TXQUsI3JRm3jDMxxX4LNJP0hhbAFsbHCsgp4KPFetpS0uT1FM0mREEU2KXCGWcVxlKexvtxCXZBk5pohtVFIp5ZIOc8+QnUB1bMC/A3N47hnody+MRtZew96gEqTVLEx47/hhAMUWxVcWKaEnKCALIsRFADSERQcARes2UVMpnCZ37474/su/K1m88EumcGcADo6p4Lx6s8WsicvOuJn+++7uFHnsJl53F0lDzU6jlZzZRAmwgtyU2Mrgs0hJMLsW/AwUe/2IY7f5BHnbMZ7NwmuFVAlZSkLD55M6+SIRUtiFRAlaVgtkj30lhMRHMyCZqJdYJtgtOK6F9gJO5405YtEomOVJCWaUGB0F3Jkswgk6oo6S6/qEBP4oL6EDy2wBAtvWmMeYA3gdxIgwQNgdntEX7zddPIuAIf+Vwb9g9kgEwkT0CZDGMnoSBMRgvGLw4ZXDXph5jdNoFLVlbR3X0+Vq1eddeq5YsffW5k8oyv4RkDPFvoQ21q/+HSrEv+8M7tP2f/dv/UtY/uHcKH/0sNRLWWptxIIlUezAhmcUzHi7B/wMXNXyjjzvvyqBMmExbS8dxIKZUGuB0in3qO1YnB8ESmebUBRoubAy32I4nyqbDewpqS5uE2rTlDtAt7V20kU/QjJdHT78kwpDWBDEQ1KAiPJTVXCQdpd76KDxcyvFVHKlqSXNrCW4Fc9eORYkMWbxV1gozLcf1rawAHbv5iGQeOZ6RFwCp1pQK8pA6gqCaHQFvOxwd/bQLXvsqByLj31CsX/2H/8ED/eUv7zj7AASBXXII7v/tI/1WXbXl64mR47egQx+GBBjpKgMMiuG4IqGQGK5BK9shxMhEOPaeSFQpoECatJZa0NuO7KaSIoNoG7QBGi22zl2WaoiQTrSnH0gRuC4XSVDItK4kCYBrkaeH+PKV5YjGxKYuphFqfayuKIc3TMSqk+fsJV1ddlA0HkOLjerLIsCtuiu5WII8rZakMHyGI7tUjAoKsE+EtV9YAAvz5Z9tw+ARiuhJfbEEBwXS4rEMFskyg7AHlsoeS242qvxiLF732aR5t729feOnzurbPC+AAsHF1D/r6ej9eHTm4ePh49a3DoyNgpIFirgHGuEFRVGMo2R8nRISfPpXB579dxDd/WIBP4h6F5HSmQJJIbsQZ8QAcCO0JSzeLMrl3OhWtpeUkBeomq0oLyjJT2MUvBHLTW2lQDykRE3ktzM8N0CLm18KYGYmEhq5Ilkjz2DEXS3XtDOKIC3dKawooB0XcwQ2tQB4X+NF1U9Sx5VUShEMEBK4T4i1bpwEu8Lk7S3hidxYNFYoKKdiEoBCQAivnCpQyAp05oH9wDpbUV95xwaxNH39ucOD5wvX0ZsL0WLBwAbZt+/F456ylv7NuhXjAYRTTDQdhxLTxymzf5zgBGgjx99/N4bobO3HHDwvwmdl81QycanbiWJKbqidcyjoS/xBq5YNKIDdZRlpxb5OumOBtQU0SqU8skKdjV5A61qmwfcoPRFrCJ+XzLMpiuewTrq1s3elJoXm7jiVvto9bdVdaJSybL8EQRXH8OGeIIgecy1cQumARw1u21nD3J0/inW+YQoEEQChrkYOH4JwjiqsAORTIeQClDEeGnQcWL1z8Oz+670fjs3vOnJr8wgAHgNduvRKL5vLpnsXX+ien2tFoAITGRfKdpOFqNuujQTi+dm8RN32hHUOTHgLiASyu0U3Uy2gKZYS9KjA5xAa3VipTHDwNXJpabsWhbf5s0A+Dgyf727EmtvJJrM8tkLfCr2gGt6UwGqBWmTx2OQloqmJTi5RHMA38lDNIFfC0kyWUYqkK55PWINd2darBrTycEZeAD2OQR6EDEjnoLHLc8p4xvPPaCRSIDzR8gDcgeIgGF2hE8nc4TGD10k687/fe5J+cwvTWK7biFxnPm6Ko0TFrGYTgP125ev0l4dj3c+2lOsqFGlynAcetI+M1sH9I4O5tBXzsq20Ym4q9k6m8SU1JVN9GkgBJOXEc2OB2DMlteiUtigLbxj1TxKDJoVu58S2+biLWRG7L5TOFui2hzW36M6TASuzv6dopiqaY7v00PyfpCSAMdz507UChnscWXZFD0RVKZdyKCqoTEQGhPC6wSSCIjFwUgoISBioiCB6hUgjx0XdNIuMI3LOtiH3DcrL6AhgJXRBO0VF2sX79BbU1Kxf99EwcOmcd4O2VInx/+n9euPES0f/MY380PLIvG8JHT6ePXN7HI08z3PzlCn7yVAGNyAU8t5lra1BTjR4FPIfEpkCSmACtICqLZ9t1TGaKLWlupGWDPo1D+dnMLvu0o+f0UJ4B3eoAaZu4Yf5LZ7tok2ET2OMuwClQA/a66veqgq84BJg5AeIZrZ8mnELQxBYoQZ7k3hKuKtjGTwcduiGlPSUcVMgiQ7xB0ZYN8RfvmcRVlzbwkS9HePgpjlzBx+wKg+MCPQvW1S+/7NK/5oL9WT5XeOkBDgCel+fD/V+9eSzoCr5y3/IP9x865F13xThWLXTwZ1+oYNvjRcD1AFfREGoD2yDICpiMJLHcjBgpZmiVMGxTEyvgPwVy01RNW4EfpEnKp9E7I8+GffxfDOkGUFMHEbF0ToAcx3ubn8fKJIzlpM64pCFMAVZTILObG43LTXDricHjFDaBuLC+BXIAcTRgkoRB4ijEuAZivM4JBVXF+Knk6J4X4qpNPnLuKP7s8xFWLozwq6/2Qd1l/u6hyie+8O0H/vIjN1x3ymjB040XBHAAeN9nS365Mu+W/YOef3K08dFGY5z+6JEstj1RBHI5gGVivq0Andw4kgY2QVJxCnGwFFKS2qAirUqsaUUTaQAbCmcLCa/P6hS0JgGt8TtSotueF0Qf07J3p+zfJrgNAW5ttFz3qWMpCwrR1hTDxh3TDSW9CUwpnpQsthIkoBLkVc1Co0IEpyCUxxVgY8DG50hjMENJdQV4AHZJPweURAi5Ay+i+JV1dWy9qI4TIxTL+rr4khXzPvr6tuyn4B/zP3LDC8PnCwb4P338evzzvd+pBWuW39XmiY+s6X4Wn7+bAiQDuHkw5sJRSBH2TbT4syGpSQrYpmlP74OUs0ZfvBaWkbQ0bzGapHMayGkJj0TBbDrm85DcLZ03KXNhEqMipbIGqUoVtPh1Yus2j6U9ogYHV/Hewrg36ulAoJw9KtNGJNVtVT8gQAMdkJMqAbZdcbjVL2eUg0cMuUwEUAff+FE3Nm+4QuQ7Ftx1cm+ttn7TO14oPF84wAFg87p5mGrM2zu7TG9wwqs/H5EHKbwc2jKurKoGrssAhIb1gMCwVesL2Up62gplYhVpkbyQfpFTLLd6GfuBNH8vOcFkMZHVsIn5GQ4Rexpb8fA0/7Z4tV62g6909o+S6BrYacdQAngCGPuYuZO2NYfH14Ibfwoa5MQQNDGBMiqdCUDHmov4Ow7z4DkcnHu47qrX8Fxl3Q3zFizcO1QdOhvQPDsAnzPvfNQnd/qZ4uW3/fM9j+V3H192a0e+jp4CByMyIMvnsoajHxdOVBgw47PltuYZr4Bv263TVMSW3rb9W9hgTQPXNP+lwJ2mImYR/PR43pQ77ao3PJC2RzMBsHxqiGbQKyBDWJJf83XTu2mWgrO2G+ZGAIi/l/xA4w/GZkZdzVw9zSD0fiomKfl9MokiCBnCSJoRKRXwfYHXbW7Dc/XJ/3Hx69ff9pOfHYxevWnF2YDm2QE4AGRLa/D0nmPRhRvfuX90+onJYPz7pVp1EhEnmPaBaR+xFBda3qmQVktqwpbwppFhRgmMRHqroQ1LpoJoMw57mFyc2NYTLbBJ01fsidBKCT0F6meg4vqXK6BrXKG1BCfGhUpyM4UGcvJZwsmJAVYlsRWlSEyI8feVABCKIJkPF+PkjF+mhI4wQM4FQRgxNHwX9YaL6bqLegMol7uwYt1rJy/p27A/DA5HczYtPjugNHFwNkY+X0SBTt/zq1dueO9733nlyPnLKyhmBQoZAYcKBBFByBNex4is9urSpK2IFV9CYFEQBRhTkQRJJLSCRrMEbwZ2y0mDFCDJDN9Ra2kqo3ZveZDTDMO5Yzpp0Oo9Pq6U0oan0jpcs8dTrSTS3bCbI/m7dgIz0RNJb0OyTVXLirj5kp35oojqBApAGglcJhBFDFM1F6MTFIPjXSh0v36krevS9w4N4h7HLZ1NSJ49CQ4Ai+e2AQD8+sTt11x5qZPLio9/7Z/+fVZ2cgKOBwz7PsYmXRQyFC6JuwurvjjmPRAqhYlYd0dJGKRBCQOsrRRPpMBs0Q9iAbnVvtD7Ju/NNKUFkM8E24ZCmd6uubL5jmYprn+HER3YvH/8VNDbUvsJxbdJIsmh+j5IZVJd+8QkaUywmFer+0eIjBESiFtBsgj5rI+RCYITIwWMT3oolwtYvuTSoUXLL/mTiWpwe3dP9xlcsOc3zirA1fCyZQwMjn911drN9FUXDX2sf/9jsxb2TWHMfw6fvqsdw+NllLICLhUy9dIAgiqKrq4UB2m++Qo8BEnzIrQGO4AmemLaxZuiDNWxjXedn0nSCQ+GtI4/mMn5kx6WPojEg2jSjZbviktoe7cBYpKA31Q25QRKLCM60srM6dTKpEGNFJ+OrTLWfLKeOEZOp1GMlVIhW8ETDs/lGB6v4XP/UsbYqIOF3QxXvnbt0KWXbb4Jov5VQisvBhTPLkUxR+/sNux47IHbFvS1fWjTBXNG1i/zcfXGGvq66yACyDCBjGO/XCZBz6gCZ1q0J4utKAZgA7vFEVrGolikX/HvltLePmaTwcTG+qmHzSdsu7f5kaYUJEUtUjQi9d0kL9OQ+IaETcfCmDEw6lAmzbF+Ymr2KnCHEUUQUvgBgx8wNHwHfuAgiBgoITg6BPzrowU8tpvAJ10jU43yh773ve23vVjgBl5EgAPAlVe/DrMrk19fsrD7/ZXO2ZPbngT2HCyiPSdQ8ATyHpDzBHKuQNZVIE9c7yK2vXLrhqQ1PduBY96IVtaT5ENl1GrNw1vooMYxiPV0SHPwplM8A6piRQEiAWiygwlI0bStKeDKFO/G8Sy+LtLATkpQ6IQEGH83/v26UrBxTSNOEIYUjcBB3XdQb7ioNxzU6lKhnKh6WL2A4eLV41i0pG+y0tn7/gP9o1+/5pprXkQEvkgUxRxL5o7xQm/2jp8+1Bvev9f9GsKT2VnlCKWMgOfG9eshi9SEkbycQSRNiSGXtvP42iaWkpmsGSbQZ5Cmp41BIanjGWBOH0Obw4zvExPl5NTg1kqg+SQx+LbapNaJMhcSw8YNWMqheTKmq141V034urKmyHVhrs9g3rGdOCKmO3EHCUEQhAx130EQyaRmQmTEZxC3gneYjz9+e2/9h093/d6Du3runNc19oLc8GcyzlDFf2HjrTf+AyZFmc12hq+rjQ5+Y+DIwWylyOAqX7yQjoMgBKZqAqNVivEGQT0GurKmqOKZqlMaJUm7P6tbWryss+qTpKBUlatUSz+abFP7MtXCjxJrH6LeibGuC2xCF+BU60kBzXRLQPNvK+VMrYvUuRjbYuU8aXdotGuMFTxZriPpVcp0lzzAbKHO0r2TzNaRRtkPu9WjctMTBIGDai2LscksJqddBCFVjSMAAriMo5CrY+7cOfU5fZXfbJ9H70I1ikjxAy869tgLP8Tpx87td+K/vflaUew8/9n5HVO7u9vdNyCccjMZCpcRuC5BziPIehLQJ6rAiWmKagg0YulCgFRlV6BVv0mrc0Oq8qpldqQx6Ki5bgOQEnMfor+j+1fG50MU+ElSPVbzeDLTe/MTx1qPfy/QwgJkLdsKMDWPj9TfM9dTx5R/h+gnWLoxgJoILO5b6jAO1wnhuQFcJ0QjYDgxUsDIuIdagyEICeoBw9Q0wXiVolRZMF1s63vnwtVz7jy8C7y9790vBfReGoADwI++dyfe/utbsHnF9DNeoftgW9G5IvSr2UbA4ToUxbyD9rKL85ZG2HrxcQwMTePwAEVIKCIwHQfOKMBIqiErsSU0QbyOZoBrCUlI06QwQZsAPyXB9feInhhSgqckNj01wNOA1kBrBb6ZwG0CMf1b45lhRU5SY1uLydVk11eCwpDmjAq4LILjBMh4DZQL09hxwMenvl3EieeK4JGDMJIXL4oEhseBbLFvvFzpe/envnbyjiWzc1i74e0vFexeOoADwL1334mrr30HLlhZebqnu2Og3Na1pX9gPA8RoKvdw5wugmXzAlx23hTOXzyCPf0BBoY8RMQFpRQehe5OrDN6qC29Wz3+CW3enkhkGO/EWk9AndAQBVCTgigJn6YuraV2sgykAIZkuZXUBoEsOWw9Iex9WoUCJ5OAaPBbJlRD2U7c7Ipzx5NYUR4mG5J5boBctoYn9kX4k9tm45GdncgRARbHHXoOR093EXPmrT5J3dkfmG64/2/T2gyuet1bX0rIvfhKZnq8+c1vAwAcPT7y9d4lrgO385adT26fVcxMobuDo5gLMF13cckahvddP4FDn83h+EQGketp3cdKJjZvpgkcWHpjs2kvvV8aVMZ3EoWVNP+NFFBbjfRHOrzb2Ji2LytlE0qhBJTpukXMCoEyiicBVoBqTGBaZwhgKZ5pU6E6LR67m4nhxBF6InBkvRCjkyE+880yHn66HX0dDNV6hOHxCELUUWnrwNrzLx9au37jh0UYfp26nS811ACcA4CrMXdOB2q16a9cfcXlpG+W+7GjB+6b1Vk4jvaSLNbPhYPOUoCiG6gKkloaqRxMphWv9ONbnPJvm8Cf0XZtSjiTt8LcjljiEmub/R1yynNJ254JYEX46UQFzOTESQVNmc4dndBAEueO/n1NRkftGuXqrHnC2zlNPJUEAGUc0yEwNpkF4IADGJoCan6AUqmC9RsvH1q68lU31Wr4Sj7f9pLjS40X1Q5+upHL5UGJuO28dRtu3Hjxr4yKTA7DkyEEJ6jXXczpAOb1hgAFGIgui+xoqmICPDFfqSFSr1b26ZZS23icJzsnrybPJlKKGlp8T51TkzPFHmlbdZJzaR6j2emjv2xsVytpe7r+KcQ4NSOrXicSx6+Qq7gSVbhT9gU6NMDQP5JBNkNBhUClPcLyFWVcffUVo5s2bboxjPht+XzunGBLjXMmwdXIZPMQonZ799wLRnYf2rUkm81/YnTyAbeYr6NaZ6hOywJAGSaQYQIekxnXDkvMZkrqqUe8CRz92CfGu3ljSfO7Jdk1+I0wWSW1Y5RY9vKUAon034mHSUnSsVSGJz5ZJjAktWiS5qbtvFV8SypOy1rUXzPqpYj4NwvBwQQFhUBIGRgVCKMQXDAUcwHyWcCDQCUT4m2v2xS0VeofuuzSjfsjkv9OR+mcw+vcAxwACMnx/kOH7lmz+t1efeqp6fqE+7mQ30cODkzSYyezcJmDggNkmYAXeztdliiYAOJgerMjbhIopENLW9CRBJMzu+dt9z4xpHxCj7TUR2Legzkp0kMYTxXD4QMk0td24qT67qgsGv0idrAVDOmvYrZFbElRv0mll2mEq8hAaL5NOQGnAqoUs6x748IPPPR2NDB/dgNj4x5/+5s2ifWrV7zv0o2r//7gkUF//srKuYYVgF8SgAPA/IULMTjwrF9qm3V7zlv646PHjr1529MdfzE4No1ykaDkcuRcAc9JwM1UoJaIiz8So5ko5DulQitnyTAtBS2krWEPJiltVAHY/CxtJTG3GYezhqVUxtJZFY7SEr2F9IYhpU1FMh14pcS/Smww8hA0lUscPslE4irclcuDUSrAqdAF6VWq22Q1g1J+Gu+7vgP37Zj3v1YsXfLNvt7uI0/tPeJfeMHqcw0nPc4pB0+P2b0r0dW9oLZ9x649Gy7J3OJVNn5066tWR91FhpwTIe+pmBXZt0W+E3gugevIG8jj4ukhV5GJJBXLIoe2gJiPa0NRTe+XpiGWMgkFaGJt09+3Fpr5cXPlqRbrVvSeTWssV72W/qTpeOZpqCYFjAo4jMNh0t4tOJEBUz5F3Weo+wwN/XIwXXcxNe2i5hfB3YujC1ac99EnBpfe0lZ+Zs+yZYtqv0zgBl5iO/iZjjv+8W7U2m4Qt374LT++795vZAqeuKg+PeY48AHBwRiB5xBkXYKMK+sJAQQ1n6AeEDRCVb0JAIG2tiQ9Mskp3fPaM0lhg1Z9L3bJJ6530/7d7KlEfB4tFdD0eyylLcVX0yDTjq3s8a0tN9bTiZJEWlNpAWFMwHEEXCeSAHciEMh4kqmaG3sjY0kejzAiqPkeHK8D3X2XN7oXvuWTpVlb//ynd1wl1l7wu+caNi0HeeGHePHG8MgEKCIIkI/t3nvgkm/e+R167LnpS4aHR5z2koNclsFz5M0MQmBgNMIzxyUsckwg60CH4noO4DpyMjiMJM1gaXNjVtObyVKgZiwBdtKwVXkybeeLrczJlaSaSfKh7XRJzsOchOp8tXPLWk7CEhhJ0sWY4aCRirmA63C4ToSMG8F1I2S8ULrcnRACBHuPVDAwVIQfUDAqdZ5cJkQhW0eh1B5O1MoPXbjpGj6rZ9FDYURuymUEHO/cmQFPN35pOHir0dVRVos3/fWX7saSlRtLPXMnv3T0yKG3VCcGqUMCFAsuHIci5wmsXz2OyQereGxfCeVsBu0qOMuIlDPBq8BtWj+skTI9NMVzUIBSmrjoKVLcPAlLTR8zXTWWEJJkwsBI+qCwq1SpPEnMbGZU58s1sSbgRMhKxUgkvsM4PCdELttAuTCFx/Y7uHt7BR05gWxGTuasG6K7I4f2Wb187tzeb+Xyhd8Pw72TufwF5xoeZzR+qQFujg/8/puwc9eByWwu+/6jRxfv27Hj52szbOq6/v6D4NxDTxfBhSsEVi8ew4dv87GzfzayDkOW8cQ6aEhGJZlNzm2ZFK1h98dMXPTNcSpNZkYz9LWVDVx5D2PPDgXRJRmUo0WVYiOGUV+0QDcxrCWAbOYkBCDUU0kATBCtKDIqpXkpP43dxxr4i9tnYWLEwYVLQsxu56g1fCxevAxdPZW7Fiw/7+nOrp5P+359cnbH2UsKfrHHywbgALBm1WIAGD5x/Nifr129bMHEyDN4+PGO657asRcMEwhC4IKlDBuXTuOp/SEanMXNlZKKWA6NKQqL+TMSj1+i/MUx1/GqBLcAAdUxJ+olJ0rMweOdNcAVuNM2a5iKo9CSW32mJo2S3sRs8ArbXt6S7yO2eIDEHRsEABr3Ik1MgKpRQS7j4/G9DnbsKWJpV4TqdIRZS9uxYPF5KHWsvGvzhtUfGBufOpwv9p5rCDzv8bICuBo9c/oQ+YOHO9qX3zg45t0+f+6yP0R995Y8eQxADYx5OuNbgYjFwHYcAtchsjx5HOchM8GTcgmyehMANhOgJOdW4FYcmaQlv2l+k6dhgFvod8CW7ja1Scqr0ZbWIDV5hX4acaHMfXHMSVy7nhACh1JELtcKOCXyMcG5gPB9ZPId2LRpJbZuWbWtXPY+TbJLdoxM+ocXzHv+tbl/GcbLEuAAwLzZALBPCLEPwNOH9vhzOirzv3jk6MNLn+p/ioFQ8LjCkLKiuAzS+uJJkBMis4aEz2PTopGYy2R76QRpNHHTa0sM0bZ4DXAT5CJpaEoMYAohYptyXNfPSnwUIFRRCxInbRDdeU/bvpHUk0kSF+JDcAI/ABqBLONAQBC5kgI5VMDVnfHk48H3Kc5fDPzBb6+LVizbsK/gNN593rrNxwHsaWq+9TIbL1uAqxHfgD2CP7dH8PBqOsr6bvzv13zrb/7xgfK+AwOFoDEJQmW3FNcFMh5BNsuQ9SgYJfADjsAXaAQcUdw1jzFZGEewxGVthZsSoh1NLI6LoUZ1ADUndEm2eMRdrLXklk+N5t70hAswKnvkmPxfO4EM7kT05JVWEkIFooii3mCo1ggagTzXXEaeHKMCbkDBIwICDsctANll1U2XvmEi24vrK5Xlxxhjh1/uwFbjZQ9wNQjtRrUuDq9aMedIrm1qzfveRjeD8797/Mk94aG9uzvq1ZFSxhXIuAT5DEWpwFDIEXDOMToVYXRKSkDPATxIUAhhsXANKC29qTQ9MgY7bEAkbahNj0wUf865BDfnqhmUkB2L478no/cAJjjgUAlssxWJ6VwlcXkGR8ju06503kxUGQaGHEQRQT5HEYTyaeQyiiDjgmU7Jjt6549UupY7hJB3ZQurHr5oXWUcEJwof/4rYLxiAA4Ahay0PTy7f2D0/GW93xscnlj+f/7yW42dD378jx986JHfOnToUMCIv7KQFdm8V0VPZ4jO9lEcGg3Qv6sDlSxBKcdBCOA6WnZr8wqJ/ylK4jpyQjhMgLGEg3Ou+qsTXbcFkNt4LLmjSGiKEkUS7LpmI4kluK4IReNw1fiHCustPl+OfDZEKR+gWJjGzw/6+NneCjryWcyqEPT1tIF5mXqxnH22b8F8d/nKDbeP7v6t/9s558sZwir1oDHJM4X2c30Lz/p4RQFcjZVLegGp103v3XcYjuN8gjH2iU0XrmFtbcXPMTSWN6qHLqtkD7BDgwHu35HFiYkI9TjVKuNIMCsFErBjQSiVSqrrAJ4r4DoiluJSIocRgR8QcA6daieYlOjhtEDD57LUcGw64VzAD3lcVUDRpKSnPKMEXE84JLX+eNKA1WUCxbyPcnEc+UwDl62j2L6LY2q8iHnze6L15y9+oKNS2BP41Rso9SPHzaFj1T+JbGn+9Lm+Xy/meEUC3BzLli4AEmEXTk2N/z6lmfawMfxXz/X/i/eTndPR0nl9F756I9/wkycH8NxgiKJL0VFy4TkEDpOxLBEXoLH/XzpJgIwnkPM4PFcFf3FQAgQhxXjEUOdS0mc9jkKOY7IW4dBxjuq0QCFLkPEoGKVocI7pmkAQSdA78WSJHAlwh8n4bMW3WRya4AdAGMn4eCF85LxxVIMIB4bXYtEc8dglF0w9/tzYUvaOt13tz5/b+afV6cZoR3vlXN+Sl3S8MjSJFzAeuH8bIk62LOmtXnXX9pPX9x/jK0qsjuHBgyjngVq9jqODNUSRQFvRQ6nooVxw0FYC2goRCjkOl8lyCq4jUMoHqNYjPLCjACpctBUJOtoiLOipYbwxhS/d46ExlcH8boJKyUFb0QGlDTz4dIh6jaCUE3CZfHI4DMhnKUoFuV+pQFHIRshnfIQRMDjqwnWz6O5kWH/efPTODjBed3Y/tHPpty5Y4n4/iLDtos3Pr3HqK2284iX46cZll28BgG0Hjw5ve8NW3C94tGRyfITf/S8n+ZrlXYvy5fKHf/jgYVA4mJ4cwlR1HBnXAwVQynN0VXy4DsfYZAauE6G7YwKP7q3jib0MC7oI8jkHDgPKhQAhrWKqQVCvZRBFgOtQzKoAC/tq2Hm8hp/tbMNiR1KW0SqB5wIdxRAEEfIZDgqCSlsbFs6fhyCYRldjEQYHJ29hzujBvkWX0faOMu3J0P0r1ojvEdpzri/tL8X4Dw9wNRbN7QKA76l1IQYAeJX+gRMP7R0goJwFc2ev+iNKcGUuS1DKRyC1B0FxFPfvyCHLClg2LwDHEL79kwj7joWoZOuoNzKAiEDQgBAN+EEG0/UAtTqB4BRZF+jrnMKbLjmJJ/cVkS8UsbQXcHJVbNvhwM23441v2IiONg/FPIXnkh8UMhO3hmHV7c6sxtr187cJ3hjr6Tv7lVlfCeM/AT7DIKQXAMYA3A0AR48NgIA8y3k0mzLCHepj7MjjmKpy7D3uYH67h6wbBo8PbLk511F/40UbM8HauQzze1z0zuIod9XAa1VsuSiL6cks5rQDc7pcLOgR6JozC29cPunOmT/n3r/6zMDNPV2u2zNnCtt3E2TyJaxbtxalggfXIZQxOgjgYHvHf0roMxn/4Tn42Ry3/N33QQiZfWjgRFvRY2JFD0Nvl4PuDo7OcgMTjTp++JiHetVDZwnoanfQN0tg4ZwRzJo1TVhb3zggBgl5aWuHvJLH/weqGSHRIU1UsAAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxODowNzoyMyswMDowMBX9ERsAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTg6MDc6MjMrMDA6MDBkoKmnAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 208683000
{'hecke_orbit_code': 40532602838321654, 'n': 1, 'trace_an': 2}
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id: 208683001
{'hecke_orbit_code': 40532602838321654, 'n': 2, 'trace_an': 0}
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id: 208683002
{'hecke_orbit_code': 40532602838321654, 'n': 3, 'trace_an': 0}
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id: 208683003
{'hecke_orbit_code': 40532602838321654, 'n': 4, 'trace_an': -2}
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id: 208683004
{'hecke_orbit_code': 40532602838321654, 'n': 5, 'trace_an': 0}
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id: 208683005
{'hecke_orbit_code': 40532602838321654, 'n': 6, 'trace_an': -2}
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id: 208683006
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