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{'Nk2': 34848, 'analytic_conductor': 69.56567024093947, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [11, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8712, 1, [6535, 4357, 1937, 5689], [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]], [7, [2, 1]], [13, [-4, 1]], [17, [-2, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953602568, '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': '8712.2.a.t', 'level': 8712, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11], 'level_radical': 66, 'minimal_twist': '2904.2.a.j', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{5}-2q^{7}+4q^{13}+2q^{17}+2q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/8712/t'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8712.2.a', 'trace_display': [0, 0, 2, -2], 'trace_hash': 590950367704215172, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.992', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.933', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [2], [0], [-2], [0], [0], [0], [0], [0], [4], [0], [0], [0], [2], [0], [2], [0], [0], [0], [0], [0], [-1], [0], [0], [0], [10], [0], [0], [0], [0], [0], [-4], [0], [10], [0], [0], [0], [6], [0], [-10], [0], [0], [0], [-4], [0], [-3], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [8], [0], [-8], [0], [0], [0], [8], [0], [-4], [0], [0], [0], [-12], [0], [4], [0], [0], [0], [0], [0], [14], [0], [0], [0], [12], [0], [4], [0], [0], [0], [-2], [0], [-8], [0], [0], [0], [4], [0], [-14], [0], [0], [0]], 'ap': [[0], [0], [2], [-2], [0], [4], [2], [2], [0], [10], [0], [10], [6], [-10], [-4], [-2], [8], [-8], [-4], [-12], [4], [14], [12], [-2], [-14], [2], [-16], [20], [-12], [10], [-18], [8], [18], [10], [6], [-2], [18], [20], [-4], [18], [-4], [-2], [-12], [-16], [10], [8], [10], [8], [4], [-6], [-10], [12], [4], [-28], [22], [-4], [30], [2], [28], [-18], [30], [-2], [18], [-8], [14], [10], [28], [-4], [-28], [16], [-2], [0], [-16], [32], [-4], [16], [-6], [-18], [-6], [-28], [36], [2], [36], [-6], [-6], [-32], [30], [-36], [-34], [8], [-24], [4], [32], [4], [12], [-36], [-10], [-6], [-26], [-28], [-2], [-10], [24], [18], [38], [14], [16], [6], [0], [0], [-26], [40], [-30], [4], [-32], [22], [-36], [-24], [30], [-40], [10], [32], [18], [-4], [-44], [14], [-38], [-44], [0], [12], [6], [16], [16], [34], [18], [40], [-10], [38], [42], [-46], [-6], [42], [8], [-28], [-2], [24], [-8], [-38], [20], [-16], [-8], [18], [-44], [8], [28], [60], [-30], [-38], [8], [-6], [28], [-30], [-2], [-8], [2], [-40], [40], [0], [-44], [-42], [40], [30], [48], [-4], [-16], [42], [30], [54], [-10], [8], [-16], [48], [-30], [18], [-12], [-42], [28], [4], [-20], [-60], [14], [12], [-28], [50], [48], [-18], [-40], [38], [42], [-48], [-2], [-10], [-2], [-28], [-60], [-14], [8], [-48], [-30], [-4], [-56], [-42], [-16], [0], [56], [-34], [-22], [-2], [28], [-42], [-4], [-42], [10], [0], [0], [-32], [42], [48], [10], [-36], [14], [2], [-42], [18], [-68], [-24], [-50], [-42], [-36], [24], [-16], [-10], [-40], [2], [-58], [40], [16], [-12], [-18], [40], [12], [-66], [36], [-58], [-42], [-44], [22], [-54], [-6], [-56], [58], [48], [-68], [64], [38], [-60], [30], [-30], [-78], [-30], [46], [-4], [6], [-14], [68], [-32], [-76], [8], [-56], [-16], [-68], [-48], [-80], [-32], [-50], [-24], [-46], [-22], [56], [-42], [-6], [72], [-34], [-8], [48], [-18], [56], [-66], [36], [2], [64], [-34], [-18], [16], [-20], [-18], [-68], [10], [-48], [-8], [84], [74], [54], [4], [-44], [-60], [-56], [0], [30], [10], [-46], [-10], [-42], [24], [54], [-46], [-20], [84], [36], [-38], [20], [18], [70], [-36], [30], [-72], [46], [-66], [58], [-34], [-10], [22], [-66], [80], [54], [-12], [-18], [12], [16], [-58], [82], [-38], [-66], [54], [-56], [82], [-60], [60], [58], [92], [32], [-82], [-56], [76], [28], [-26], [54], [62], [-32], [-96], [-68], [88], [-6], [-62], [-22], [-60], [-60], [56], [-14], [92], [-30], [-66], [-2], [-22], [-2], [92], [-24], [-10], [22], [-12], [-78], [-34], [52], [-68], [40], [52], [-34], [-58], [-12], [10], [-96], [-6], [-90], [78], [-74], [38], [-50], [102], [68], [-12], [72], [-50], [12], [-58], [28], [82], [60], [88], [-26], [-12], [6], [-72], [12], [-60], [-54], [94], [100], [-34], [52], [36], [38], [84], [28], [100], [50], [-46], [-4], [-90], [-52], [-2], [48], [-38], [8], [-96], [-68], [6], [-30]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 85568392953602568, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '8712.2.a.t', 'level': 8712, 'maxp': 3163, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, -1], [11, 1]], 22, 10], [[[2, -1], [3, -1], [11, -1]], 21, 11], [[[2, 1], [3, -1], [11, -1]], 19, 13], [[[2, -1], [3, -1], [11, 1]], 20, 11], [[[2, -1], [3, 1], [11, 1]], 12, 4], [[[2, -1], [3, 1], [11, -1]], 15, 5], [[[2, 1], [3, 1], [11, -1]], 15, 5], [[[2, 1], [3, 1], [11, 1]], 12, 4]], 'ALdims': [12, 15, 22, 19, 12, 15, 20, 21], 'Nk2': 34848, 'analytic_conductor': 69.56567024093947, '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': [8712, 1, [6535, 4357, 1937, 5689], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1489, 'dim': 136, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 13, 17], 'hecke_orbit_code': 33563144, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6], 'label': '8712.2.a', 'level': 8712, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11], 'level_radical': 66, 'mf_dim': 1680, 'mf_new_dim': 136, 'num_forms': 63, 'plus_dim': 66, 'prim_orbit_index': 1, 'relative_dim': 136, 'sturm_bound': 3168, 'trace_bound': 17, 'trace_display': [0, 0, 2, -4], 'traces': [136, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 138, 0, 0, 0, -8, 0, 0, 0, 0, 0, 4, 0, -10, 0, 0, 0, -8, 0, 4, 0, 0, 0, 12, 0, 124, 0, 0, 0, -6, 0, 0, 0, 0, 0, -26, 0, -16, 0, 0, 0, -24, 0, 10, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, -12, 0, 4, 0, 0, 0, 4, 0, -8, 0, 0, 0, 16, 0, -12, 0, 0, 0, -28, 0, 8, 0, 0, 0, 12, 0, 20, 0, 0, 0, -24, 0, 4, 0, 0, 0, 28, 0, 0, 0, 0, 0, 6, 0, 32, 0, 0, 0, 36, 0, 8, 0, 0, 0, -62, 0, -12, 0, 0, 0, 0, 0, 32, 0, 0, 0, 44, 0, -12, 0, 0, 0, 0, 0, -12, 0, 0, 0, -20, 0, -18, 0, 0, 0, 64, 0, 118, 0, 0, 0, 12, 0, -48, 0, 0, 0, 30, 0, 22, 0, 0, 0, -90, 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mf_twists_nf • Show schema
Hide schema
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id: 1403283
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '8712.2.a.t', 'source_level': 8712, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '2904.2.a.j', 'target_level': 2904, 'twist_class_label': '2904.2.a.j', 'twist_class_level': 2904, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1403284
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '8712.2.a.t', 'source_level': 8712, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '2904.2.a.k', 'target_level': 2904, 'twist_class_label': '2904.2.a.j', 'twist_class_level': 2904, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1403285
{'conductor': 132, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '8712.2.a.t', 'source_level': 8712, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '5808.2.a.d', 'target_level': 5808, 'twist_class_label': '2904.2.a.j', 'twist_class_level': 2904, 'twisting_char_label': '132.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1403286
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '8712.2.a.t', 'source_level': 8712, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '5808.2.a.e', 'target_level': 5808, 'twist_class_label': '2904.2.a.j', 'twist_class_level': 2904, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1403287
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '8712.2.a.t', 'source_level': 8712, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '8712.2.a.t', 'target_level': 8712, 'twist_class_label': '2904.2.a.j', 'twist_class_level': 2904, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1403288
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '8712.2.a.t', 'source_level': 8712, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '8712.2.a.v', 'target_level': 8712, 'twist_class_label': '2904.2.a.j', 'twist_class_level': 2904, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4827575
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 2}
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id: 4827576
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 3}
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id: 4827577
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 5}
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id: 4827578
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 7}
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id: 4827579
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 11}
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id: 4827580
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 13}
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id: 4827581
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 17}
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id: 4827582
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 19}
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id: 4827583
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 23}
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id: 4827584
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 29}
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id: 4827585
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 31}
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id: 4827586
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 37}
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id: 4827587
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 41}
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id: 4827588
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 43}
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id: 4827589
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 47}
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id: 4827590
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 53}
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id: 4827591
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 59}
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id: 4827592
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 61}
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id: 4827593
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 67}
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id: 4827594
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 71}
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id: 4827595
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 73}
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id: 4827596
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 79}
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id: 4827597
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 83}
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id: 4827598
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 89}
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id: 4827599
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 85568392953602568, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 20, 'label': '8712.2.a.t', 'level': 8712, 'portrait': 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ynLnYDOQDBMPFb6gs2ThqW24eQFRc3z2TwD2zdEbJodsnE2ZPNsyPZNlp2bFVfs8KirJsdOTvC1Z3weO5jw1ImYVHV508vb3P5SS13NcvDEFMfOas7Mp5zPwH140XLjVQv84vetsGNukrPzU8yv1Fhqeyy3JSvdlG4/pTcUHDi2yMFT7SueOrLwikOnF3YfPbPwhVu+7R3RfV/4yAsNiW/q9veawZeX2ywMLQ3Nrz78xJGX/tLvflJ+x02HX/rTt5/WS6sbWO5MsLTaYKnts9TWLLVhuZ2y3I5ZWk05vwpHlgQb5lb5zz+wxEsua3Dqwgxn55ucXdRcWLKcX0w4vZAy302Ymhnysmt63LwXfFknUAEXlmucW9ScXxb0Q0gSQ803NGsp05MJBjhxPqHTg12bPJr1EGsFCJ/ewLBzc8jSqgbrpMhqD8IELJbldsS2jR7dgUIoizAhEzWPnVuGrPYFJ85qUqOZnZC0aoLAgyQR9EPJ+WXJuSXLhZWEIBiCl3DLlT1eepVgw0SdpZUJTl0IOLsIFxYTLiwnnFmGI0uWF1+5yC//wAqbpyY4eX6G80t1FlZ8FtuS5dWUlU7MSidluWtZ7ApOd2Blpcdv/psoecerWve3Nv9TU5u8/H4p45+PkyZ+MPFCQ+V5b39vGfwjH/k4N954Pb/wM//uV977l3f9mz/88y9fcvDU6u5DZ7ry5Vd3uGirIU011iqsdeyNlYAEBEJYtLD4Es4u1XnosOSai5fZu2NIowaelviewvc1zbqk4Un6PY8Dx2t88TGfE/MhnSTmwKmQTbPLvPllK1xzSZcX721zfDFhsS9oBEOOnrW0O02uvkiyOkzZd1zRamiePQGXbrUMo5Rh6qN1zHQL9p8KUDrFkwnag0EoecnePoO+5JpLUjqDlBNnW+zZrGg2IlZDy8apPiu9Dn/5FXjiWMpTx4bs2rrEtZd3mJ6JeOMtXb7zlZaLN7dI4ymOnZnkyGmPU+cNp+djTs+nHJkXnFyNedFlC/znH+iyaWqKU+dnuLDUYGHVZ6ktWWmntLsxq72UlZ5luQcX+orlTsKNVyzwL75jXtY9s3t16eieOI5uksHeer0x/aV7vvI3vO/9H3qhIbPu7e8lg3/wzz7G5PQmtbx44j8ePXH+P9z36HF1ZjFiJdKc6xuu2XWB3/yJBa67uMGFpWmW2g2W2zWW2x7LHc1KF1baKSudhOVuwmIbTq0IdH3IrVct812vjNizsclqb4L55ToLyz6LbcFy20mEla6hMzB0Qkt/mDA7EbNzkwEEgWc5Pe8hZMCujYo9Wy1bN/a5sBLy5KEWN1xqadRXeObwDK1mRBR5zE4bBkO4YueQD31list3JIShZW5SEqcDWrWAZ48PqXtNrrss4amjEReWfLbNBuzZAjs3RygVc3oRfM8ihGXXpoTplqQ7COj1PTp9j+WOYnkVltqG5XbKYjvlfBuWhik7t/X4rlctcuteTc2b4NziBIsrNRZXNcsdwUrbsNqNWemmrPYsSz0431VcWE14yeXneddPLHHJtibL7RadXkC7P0UkLk/9+uZfuXLvll8+eWoxvfnlb32hobPm9vcK4AcPHKRWq9XPnD298+FHnnnniVNn/8uR46cZhJL2AFYHgvm+4mw34cUXnec3fmKZay+qM78yzdJqg5VOjeWOx0pHs9KBdtew2k1Y6SYsdywX2oKzPQuix+0vb/PGlxgu2lIjihqstGus9nzaXcVKT9DtC4ahJUosaQpKWgIP6oFlasKycSZGe0OOnIt4+nCASZq84aYI7a3y6L5Jdm+Bzz2U8PKrA+bbA2pakaQxM9OQxB7aS1haavCy6zt87oEWe7bAI4dCPBq8/iWGRAx4+kjKsdM1tPTZNK2ZbgrqgcD3BUpAYiCKLcMIun3Las/Q7RtW+4alnmWQpuza3ueNN7e5/aURmBZLq5PML9ed3u5oVtqw2k1p9xJWM3Av9+FcR7HQSXnxZRd410/Mc+WuOosrU6x0G3R6ASsdn5WOoDW5lebk5l+Y27T3I9u3bzsZhsPBJZde/kJDqbj9vQH46VOH2Lhxg3/wwOEf2n/g8Lu/9vDjYmm5J6PY0h8aekNLZwCrA8n8QHKuG/OSS+b59R9d4vpLaiyuTrG02mSlE7Da9Vnpala7gnbX0u6lrHYT2j3DSs8y3xWcaxump/p824u73LI3YdcmxUTdo9OtEXgSUESJxBiBsdAfAsIw3Rpy6IzF2Ig7H2kS9utcss3n1mv6xGaVex6b4rpLPQ6d79FemeDma/p86dGATTOWfScs/9tbO+w7HrBpRvLFxxS3XqFY7nc4emqG6y6LuOfpAUnY4JYrfS7eMWSQ9LjjUQWp4MhpzURDowX0BxJjBamxxAkgDdo3tHuWZitmx5aQl17R59tuSJht1riwPMnSat0Bs6tZ6QjaPWh3E9q9hHYvpd23LPcl57uCxW7CTZcv8Cs/usC1e2osrE6ymoG70/fp9DT9oaQ/FMSmZnbtudru2n3xT+666JL3Ly8uRlddedkLDSng7wnAh2Esw+HgzQ/d//lLBPG7vvbQo163LxiElkGYMBgaehnIuwNBeyCYH0jOthNuuWKeX/3RBW642Ge1M8nCSot2r8Zq12e1p2l3Fe0+dHuWTj+h00vpDQztvmWhJ1joQZyGXHvpgM0zKb2+5dtvDtm92ZCkEi0tUQx3P1nj5HyNLdMJzxypgWmwd7vi+ssNQa3Po4f6LCw2uWp3k4mpFR54yuPGS2ss9VdZWZlg82bLQ/sU/+Q1PR7ep9m+0WOx12ZleYbrr+jzwDMpM/Uprrqkx3y7zUPPTVHXTV58ueWynUOQPZ48Jtg4E3NhIeaeJz2GsUJKSI1l95aIb7s5ottTbJ02XH8pRFGD5XaD5XbAas+j01e0e5JODzr9lE7PuSWdvmG1b1keSM50BO1ByK2XLfDLP7LCiy91F0e7W6fTD+j2Pbp9TXeg6A8lvaGg03Pa/doXvThuNIKf+c7b33S4Xq9/WkptXmhsveCZzOGwT5oMf+DIocd/8+yZwzNhf5FGzSVkhLCApbwOnQUohEVKi5Sahw9u4uf/WPPWW5f57tcss2dbxPmlCQK/Tj3waQQezbqmW5e0Bh6TTU1/mNIbpGwKDYPQ0h0GLC/UOH3KEiWGM+cTgsD9XV9ZtBT0BwqBR9LXvGi34OKtlp3b+oRpl88/rNh/eJrX3RBw/RUrfODzFl802L2tz1MPKLZNKeYm+tRUnSj2mO9Cs6bZvknwxP6I6y+r88rrFvmTzwzwvRavvcniBX2+/FDE5x5s8tyxOhdtbbB7S8qG6Yg9czFX705RyqCVO0aNIGDDVEAUe3T7Ps8c8lyJwkDRG0p6A+gNLb2+++zdQUpvYOkMLKsDWOgrLqxYGpNtfuoNC/zjW0OuvajJucUJ2r0a3RzcA0Uv+539oaA/tIQxJCnc98DD3ratG39zy+ZNy7fcdONP93v9P2k0Gy8ovl5QgJukC9gfOX3yq7964sC9M2nYRUlNzbdYIzJga4RIEYAQIIXrpFHSomSKLyVPHdrA4webHDo7z1tf2uOlVw6Zak2w3G7Q7NSYGPj0MtbpDSWDoaYfaoahZRgZotgSx5Ykdfco8bEGpBJ4WlDzBVMtwXQLNs8Ztm/qMzfd5guPwr2Pe0gzyetu8HjR3i73PRcTDSe49UWC9mDA/FKTWy4zzE31qeuAYaJY6MQoI3jRZZpGK+SxAzVecf0kN1/b5bEDCuwkN1zp88NvWuZLT0R88eEm+07W2LlBsXmmznSrwWQL6gF42qIkGAv7jgnSVBAngiiBMMZ9xjBlEBqGoaE/NPRDQ28AnRAWepL5LoRmyG3XLfPml7b53tcakmSC84tNOr0a3YFPb+DRG6iMuQX9oWAwtPRDw3CYEieWJLEcPHKGM+c/P3NuKfk/3/KPXqGX2/0/npl84UD+ggE8iRax1vxwf/GOX22f//LGVhDDZJ1hZCiqNUVu+SmEEEhJBm5QyqKVxVOGuidY7Nf58Fe28+XHO7z86lW+77ZVrt7TY3aqwdJqg+4goD/wMmArd48EYSyJE0GSuKXe1W65oFJrqPnQqBtmWjHbNvZJ6HHoTMxf3lPj6KkmU0GdG6/U3HJNh4cOtrnzaxPcdGmNnVv6fOgrAiUCJloxq70QY0EJ2DDRp9P1MUmdN798ng9/rsHFF2q88aY+UbzEPU/PEqc1XnLlRt54Y4dLd7T58mN9njrV4MljPttnJDMTgkYg8D13EUoBQliMBWOsA1xqiWJLGLsLeRjBIILuULASCpa7IPSQ6y5f5fu+bZWXX5kyO1FnpdOg3a3T7Qf0hh69QbkS9EPJYAj97MIZDrOLJ3LBbhgrzi6tcuCDX9p4vid+9Yduf6k9fX71vds3T/2/A+Dpwq9x6MyLOH/szh80aftdSe+ROdJVmo0WEKOkzpgaR+BCIoRACImSGilTlBLZ8mzwlCXQlroWrAwVS+1pPnp3kwef6XHrtat832tXue7iNrNpnSQJ6A9r9AYeg1ATxYo4kSSpJDUCY4XLggpL4BsatYTAj/C9kDNLIZ95RHL4tM+x09MoE3DxFp8r9ihu2NtBBQs8faTFtqkGV10EmzessNyZ4OptksRYvvBwQNiXTDUTXv+SIZ++J+bk+RaXX+JxbnXIs0c9dmya5to9C9z3VJcHnhWEkc/ePTPs3RGwd3uXI+eWOXwGHt7f4NDRJg0tCLSkGVhqHkjpDpm17mJNUogSiFJBLxR0hoJODJFJMHbIiy/t8H3f1uHlV6dsmQkYDidZatfo9gJ6Q5/+QNMbKvpDxSAUDIaSQej6Rodh6jz+0DAMLYM4e4wgTBTzK6t88KNf2bh47ty75qYbyQc++KkPfOqxRT7yGz/0Dxfg//bX34Oc+0NmO3yvSk799kr7wpQxoLWm5sdY43S3EBYpFELg2FoKlBJopbJHg1Ypnhb42uB7lsCzNPyUqZqgG3qsdKb52L0TfOXJIZum+7zzVW327hgyHPS4ao9lx2ZFGHukaZnmF1ikNHg65cQFy7HzgtWB4VP3NTizOI2NPKZriq2zml2bNRdtg6su7mDkIn/06SbLy5PctFdz1cVtvvykQCQeG6clzUZCP/aRVoKVKO3THgouLAuutA1edUOX+x+rs3XO56arZvhnb1rk/Z/r8vCBJr2hx9Jqiz1b61y+pc9LLuvytld0Obu8zKfuC1jqB5w453HmjI+nBFJKBAJjLamB2FjSxDA9G3PNlX3CMGbvjpC3vypk46RiphUQxzXOLdToD3z6oVvlBgWwpQN3KBiGuJUgTBlGhjBKnQSKbQHuQSwYxAIhNWfn27zn4w/O7d69+bdfcs3m+CO/sePPLxz772za82/+4QH8X/7Xv+CaG/+x+IGfFe/Y0nzmPd/1sicbV+6u0R3UCaNMF5ADPNPa0kkFKSVKSrQSaJU9aoGnU3wt8D1DzbPUY0sjskzWUqbrgn4k6UZNjp1u8ut/PgMmQSQJN1zTZ8/miCQBYw3WuiSOFAKpBNrzOXDSZ9/hGs2apuVL5hqCDbOSjTOarRsUu7akXL5rlVQs8TufmODEySluusxj7+6UQdLla08HTNU9ZictU62IRt1JIWMk7aFiuWdZaqe0e3VedtUqj+zrs/+kYmqixkuunOJH37zE734SHjvcpDewrHY1F5Yn2DzXYOP0kF2zQ/7dO/pMNNo8dQwOnJJ4nkUpixAGsO4/C0kCuzen3Hp1Qhp7xEmAtQ2Gkcf5RZ9B6Fa0YaQK+TaIBMNQMIwca4eRy8qGoSGMDMPYZF+zhTwZxIJ+LOjGgk4i6MSWeBCxpf3E1Ftu3Pie/3FhMfGD7/3o6smandr5k/9wAP67f/AX3HzZlProAx+5/eSp+Q988GuLtaf2T/Dr/7zN5TsS+v06UtQy5vaR0qKkh1IWJRVKqUxvSzztNKfvKUJPEkaGIEoJY0s9NoSxIYosEwmEsSFMIEoEw1gSpgFxWmP/4SZP7ofUWhy0nTb2JPjK1Xy0ArhqC0zUYbIpmW4pZqc0G2dg5+aQLRtWie0yv/OJSY4cneT6ixQXbZdcvH2Fu55NuLA0yQ17JNMThpo/IJABVgmSVCKsJUkjVno1Lix5XL+3zosu63LfYzU2TQsatRbXX2b4qduX+O1PGp4902K1Z1jtKhZWNHNTTaYn6kxPTDLRiNnQjNl1fUTgJXg6QakUKRxpWNxFFceK+QVNnCjiRBHFijDOHiNJGEvCSDKMJGEkXIAaCcLIEkbuuIZRShRlmj52Xx9GMIwFwxj6saATCVZjSS9KMcMBL9q9wn/98QVuu/Jso73sf6ATfc4cPX/zJ5548CPpdTe/81sf4I8/9Pvs2NpR9z+2/PaF86t/8tyBkzXdmuTzDwu898Av/1ibK7an7qQo48CtTHb3UNLiKYunFZ62eJHE94Q7CZ4g9BVR7IAex5YoSZ0rklTuKSSpJU0NqcHpbUMB7lwKaQmeB4EW1AJBI5A0G4rJhmR6UrBxJmHX5j6t5iqfuD/inqdnWF2c4Jqdil1bPC7dMSQVq3zh4QZNT7NhWtFqDHn6CDx3VHP1Dks/VFx7acw1F1vOn0tZWPEZDBu84cYuX31qwKEzimZdEvgTXH2R4Zd/cIm7nx3w6bvnWOpYdm1MWWlrpiYUk02PVsOjWbfUAkPgGwKdopWTWjIL1q3FJayMIDGSJBUkiSBOJFEiiGNJGDvnJYoFUWyJIgjjlCg2RBXiCOPq3YF7kIM7lrRj6IcxMu5z/e4VfulHl3jDjbDanWJp9XRtNZr74KnFJ//pV/a1/uq/v/dP03/zwz/wrQ3w3/zUhPRE+N1BdPL373lsvuZ7PjUEPdvkbx6AKFS8/dUd3nFbj+mJlK40aJlmOtvpYU9rvFgTaMXQc0wTepLIF0SxcCcnVsQJRLEsLKvc9ktSQ5o6dyG1mVOSqaLcnVHSyR5fCwJfUgskzbpgomGZahk2zYRsmO6S2FU++lXJ+z83y8ZajWt2CnZu8di91bBrywqf+JplebnG3s2K6QloNWIuHJfMrwT4eyCMBRsmJVNTcOiYZaVjOL9Y49LdNV5zQ5fP3FtjtgWB76PkFFdfLPixN87jyXn+5r5pnjtTY1MnZuNUwmRT0aorGnVJPdAEPgQeaO0cJpkH6znIcRd2aiBNBUlKBnSIU0uUQBw7yy+ODVH+GJvMdsxdmcyCTJze7sWCTiLpxoZoGDEZdPiuNyzxjlf1uO066PSaDEMfKTUifrq2Y2r5PW+5dbNu1vVf/BvHM9+aAP+d93ySODE/+Im7j//GE8/MT7TqHlpamgqMpxnQ4gsPK772bI1zK0v8b2/rMz2REAY1Ov0aWvl42sPTHn6UEnkaP3LSJIpdKt0xjnBMlLFSkkCcQpo6J8EYF3AZY/MezgzcDuAucBV42gGkFkCjZmjVE6ZaCRumBsxNr3L//ogP3lnnwLEpdk96XLwZtm/22b4JLt/ZoZ90eGjfBHXlsWFaMdWCqVbI9GSC72uEcBfXIPRZ7sSs9i3tXsL8is/OzS1u3jvPnQ/3OXBmgkYQ4ykfISa5eJvi+1+7yIsvn+eDd7Z46JkplnqajRMJU42ERk1SrykCTxB4Es9zsYpSZPahQ7nF9bAaQwH0JDXZ6pZZi4khSR24kxiixJb32Lkyw8SRSj/T2t0EhsMEkwyYrXf4ye9c5t9+T49G4NPpNhiGAXHiYYxgdgK2BQcnBh37O/3wVv/Uwb96/47L3v6tB/DVdhul5I/8wXs//qvDxTOzu2Y1NovstQQlBEpo+rLJaqj5jY947Duywptf0eNV13XZNBfR7dQZhAG+lxD4HmGkCXxn7+UAj2NJlLhlN04yTzsls/7ImFtiLCW4s+SoY27QyiVMfM9S8w31WkKrljA9EbJlrsOFdp93f8rjC4/MsLzS5JINgp0bBds2+mzfKNizdYj2V/nwPZqjp5pctkky3ZJMNlOkDDmzYAm0RAqwVhDFml0bOzxMSqevWOlYLizXuWx7jbe9qs1ffdnn+IUAT8cI4WFskziR3LBnhV3f0+ELj/X50BdmePR4k23TgrlmSrOWUvMFgSfwPReraIULnKUocsEWd5EZi3NaUgf4HORJ6iSdAztEqat1ifLkUSIYJNBNJN0EBpEh7Ydsn+vyyutXeMsr+nz7jQYtGqys1gljnyj2iGKPJJH0jc9yp0EYdWebG6N3Xf6it6ler/PHzeb/mpry/yUAb7e7+L73z+6+595fPXJo38YNTUvfs4QJxKnAS0AJlwL3paAra7QjzYfvqnH3U12u39vhe17b5403tZmdChgMAwahT+B5RIlHFOsiUEoSRZxKkkQSp4IkkaSpIDWi1NpGUKgSS+GzK+VcB08ZfM8Q+Cn1IKFVD5mb6jGIB3z5actf3jXJQ89MMe17XL3NsmVGsmnWZ+sGyfZNERdtW+Gp4wM+9dUNTCrNhknBRFMw0Yhp91M+97UaLd+5Q8bCINS8+daQzz7oamLaPcP8imb7xhZvfWmPh/Z32XfIpxkkKCkcyE2DYeS0/ve/ps1lW+b58N0dHnhuipMrdTZPCCZrloZvqGmD74FWAiXJEmTuc+dlDyaTasaUK1ySAd0RhDtXcZoBOxUME0E/EfRSXMwTRTTrfd76umW++7UdbrgsZdO0x2DYpNNzZQNh7BHHujhncSIJI023rzixcHhjaB761euuv8V0O533tSb+7kH+dwrw8/OrbNpwAmj/wJOPP/7f7r33vtnV1VXqNQHCWX5RYjNvG7zEOReBhK706HuK052Asw82ePDpHn91TZe3v2bA628dMjPlE4UBYeLYIE40cXbQklSRpFnCJi0BbmzG3KasKcttSCVdHYfWBt9LCfyYehDRqg9IGfClxyR//pUpnjk2iYgDdk9btkxZ5qYUG2Z8Ns9Jtm6I2bm5w6mFLn/w6SZJWGf7dsFUSzPRhIlGjPAiOoMmUy2LEAJrIU4kM4EiMQnd2KfbT1npKM4s1LnyohY//h2rvOsvAk4sNNEqzi4MTZLUGEaSzbMBN1zS4ZqLejx74gx/eVedOx+d4my7TjNQtHxoehZfWzwFWrpjLsRodZ0BrHEXXWoEqYUkFc4/TwVR6pJEg1QwSGGQWJIkwcQhs7UBb7htlXfe1uXlV8dM1j2iuMlKOyCMfeJEZ8ytsnOliJLcEFAMI0W72+a+++7aeGYx/m9XX3tD8pl7D//p62/egOf/3WU9/04B3u8PuLCw+y0PPvzA737pS3dMrCxHCOEsvsBzukBKi0osSgi0tOjU4kmBrwz1VNBXPv1EMx/W+JsHm9zzTJ+XfLHHv/zOLlfs7LBxSjHR0ESxT5R4JEkJ8jQHuJEYK7HWSQJbBJRZql9ZF8TqhMBP8FREZxCz0In5H5+ocWx+msf2TWGNz2xdsHHOMjcpmJ1QzE55bJqVbJ5N2Lahz+zUCl943PDoc1Ncs10w3ZK0GpKJhqFZjxBeSBBotHJ/31pIU8kg1AyGMYkRdAeGbs+y3PE4vzTBLZf3uPnKVT78xRr1ZYWWsQOk1SSpTxS7Hs+5qRovvrjHiy/p8fArz3JiQfLBO6eYX21weinAV5KmJ/BzGSZd4FkQeS5VcEyeWEFiIDaCMIVhApGxkCaQxEgVsnV6wDW73Pm48YqUibomSZq0uw7YSQZst8KWrB0lKpOTzpaMUxcn+MkqS6fvnE33iN99w803r4Rh/1N/l5j8OwP4gYOH2LNrs3rvn/z5JY8/eWDi1OkhrYaHEO7guj5Fi0wESlhX65GCTgWesviJpZYKGkowUIK+DhikHktRnTsfneT+5wY0g5B/+u1tts8m7N464JarumjhWsSEcHLFZSVdrbS1FebGIqRFCeeZWxKQCc8ekzyyX/OZh1o8e7JFlDRoacWGumWmaZluWOeDT2hmJjWzU4LNMwlbNwzYsmGFe54J+aPPbGTLlGbDBEw0FRNNQauRUA9C7j+oGEYar+lAZa0gSiQ1rbjusgEPPj3lCp8GKasdj8XVgAuL0/z4Gy9wenGJB5/YgCcBEWOgAFAYSXoDzXSrxtREk5sv6/PKa/p8z6sX2H/K8NmHajy0v87Bo00SoQlDRT9WqKL0oRp4ZjkBa0iMxRqDJ1Im/YgaMTdf32PPliHb52K+7/UhdV/SrHtEUYN2189WUp0Rjiq89hzc1XsU51LSycZGTaEZsv/pBycWLixf8orb3qFOHj+S7tx98d8fgO/b9xybNkz7Dz/8yA8paX4jHq4wO+UXB1Caiu4VlkQKVAo6dQyuE/CkwDOWILXUlKCRCkIDw9RjkHr00xrdbsp/+/A0NonZtGHIlTuHzE4mvP01A3ZujIhjkeltCRXmJtOfUhqEFHzs7jpPHWkitObE2QZnLjSo1RWTgWCqaZmoGSZq0KoLJhuKiZZiuqWZnYK5qYRNs0O2beyQ2lU+9tUJBr0ml263TDQUrYakVTe0agmeF/GFB2uEfYm30XWL5hKlWVe84SUD7n3c0AslvUFKp69Z7WrOLzW4Yk+Lt7+8w2PPNjix3EJJA8SZXvaIU0UYu8RMb6hp93xa9QbNesgV24fcdPmQU/Ntjp9bRXspTx7V/NVdDYRyhWuMzx+0BjBgLXGUsmtTwjtfM2BuIuXyXZZNs5AmHmHUIkk8VjoeSayIU53FQQ7QOcBdTCQzV0uUz7NqR1fcJogtWAKWO6t4jfQ3nn7ysf7mrbvff/DA/uiyy/f+/QD4+XOnaa8uXnbi5Ol3P/7oI7IWuKRMamx2QkRW5prVlihQqSVJBTpxOjFOLV7qNGCgLbXs+5GxRKkgNJIwlUTGIzaw0JvgrqcMlpS/fsiNbMCa7J5n8TKLTOQViRKpFEmskUbjaUkrgD0bLE3P0AgMjQAagaBZl7TqTg5NtiTTEzA7mbBhOmTrhi4pK/yPj9e47+mNXDwL042MvRuSVj2hUY9oNgbU6w0CJVEy0+A4ORDHHsOBYBCmdENFb2joDoxrmWv6nL4wycuuDPmpd1zgN/9Kc3I1QAiDtTEmtcSJRxRLhqErY20NNM2aT6NeoxE0qAUxrXrEDZdG+F7MjZcmfN9tfbRKsiSQcfX2VVGeSTpjJEJIAk8BPsNQs7SiXd1Omsc82T2RZQyUFa7l4M6drSKxlGblvKkgzQCeJ96SxPLIo4/IMBLvXmn3vhqF4TN/F9j8vw3wO77wKXzfq588ceT2o4cPiVbDIzEiS64Y0tQBPZUCpVwCRpoy0NTKRew6db2PSR7Rp1lUn0f2RpSvjSAyksRKUqOJTUCa2V7VW5GlFKCFcJlKBbW6paYtNZUSeBBoqPmWeiCo+5JGXdKoaQfwpmCqZZiZSJidCtk402PrxiX+6DOGD925iR1TirmWYaKpaDUUzQY06imtesy5JcORcwE13wXYkFf6CYaRZs9mw+a5IZ2hz2BoMxaXrHY1rXqNVmOK77ttnqPnzvOeT21DS43FkJqUxFjiRBNGikHkiqL6NUljqKkHHvUgpd11MYbvpS5h5qVo6RolpHTp/Ly4zZWuuBJOB3JB22RVlsbFNWkqMUaSmDLeSVJRCfDz55XHRGSv3T3NSCwPZpOU4mvDCB569Alx6SX92y/as+fIxz/+icHb3nb7CwvwjbPC73bP/1x39fzPYYeyUZeEMajiAzt/NZUuTa4kqFSQKidPEgM6+5BpnnwwNntti6+Vz8tKOefliiJQqmpuIMvkuZVDS4OWZDUt4CmBp63zjbWgFkhqvqQeKOo1RasuaTUsk82UqVbCzETI3HSfnZuWeOhgyIfv3sp0LWBTyzDREA7cdUmzZmjWElqNkIcOwJP7G1yywWa6t0ybD0LFjZdbLt054OFnpuiHlsEwpTfQGcg9GrU69doU3/WKZZ48OM+D+zaDVRiTunLYxJLEtqgnGYSaxtBSrylqviHwPQI/JdAGrVM87bLDSpmsiM2VBiMsglLPlcG5KyE2uSNlcvu1YsXm59nkAM5f59nSMXAb95imFRKr1K5H0UCePHX2P1pZ82v1xq8A0QsGcGvbMo4Gv/TQ3X/+09HgjF8P/Cw7iNNZwrkmqXQMnhpLqiwqB72yaJM9N+77JqV4nuYZN5tn3iwmy8TlyQprLZXM+8iKm6eq84SOklnGUlEp2nLZv8BX1AJFPRA06oJW3TLRSJlsJky1QmYnB2zdsMKDBwb80p9s4uTpKS6aM0w1YKKuaNYVzRo0ayn1WozvDWkPXbGYpyxSlu8sNY7h4sRnoh7TTwz9rM66P0zp9iXtuqLRDagFLXZvjvnlH2rznz4g+dq+TVgUxroVMkkTosQQxc56GwSSeqio+ZLAtwS+ItAGz3N+v1Z5rY8DuMpkihB2tEE3S+3bjERsVsuSZoBPTfnoyEhmj6IEePa8ZO3MrUnzLGq2aqeGJLHEicug7j90yu9E9Z/54R/+Z97Rs+EvXLQ1+Fun8//WAL+w0OX8gvmVr973hX+lugdrzXrNgc9SsJXM2VoKEmULuWKkA3eagdvkz43AGFukkU3h0YI11nWRZyWg1TtjAM8vsuI9iLym3EkinbWieVoS+G4AUC1wIxnqgaVZM7QaKRONmMlWxMzEgK0bVnlwf5//9P45DpycYdeMc1hadUmzIR171y2NWkqjFhOnEX/2xRZSKTxpUaK0CY3Nl3CP73/dCnc8GtGNAvoZwHsDRbenaAeamh8QeBNcviPhv/zwEr/4fsEDz2zCWElqXFo9TlyhWRgZwpordw0CQc0TBL7LbPraFhlbrQxSOZmYlyUXAC9TnkBGIrhcgnNbskA+B3A2dcAUyTUydqdYcdMC0JRZU+NKKdKsVihJLHFWLhAbybFTR2pHD/7FW5r1xi/ue/ZRrrjqxf/PAvzkiSMYa2++97799Us2ayabEincQYSsxkNAIiGVoIwDelqkh3Nw5/LDfc0UtRJl+5UDunB1FDmo8wM/9r7K3s3sPUjKYqqsjtwBXOJ50tVv+IJa4GaeNIKUZt2Be6IZMTUxYMNUm4f29/ml983w7Ik5tk8LZpsVaVLTNGuufqVeS6gHEZ4XcmZpGk8JlDSZLVcGmWkqSRLFlmlLksR04lrWKWMYDFO6Q0m9r6j5Hr5Xw9OT7N2e8F/+2QL//r3w4HMbSY10AE8tcZJmTG4IA0Mtkgx9VUgwzwNPO4nm6lQsWpLJFBDZ4zoYd3KFLCmEKJJDJksO5dniNK183ZSSs5CfqS1W4tSUhJeXCCSJwRiLpyXNWsLiySN7d9/89t9NkvSf/21x+rcC+N13fZHASxtf/vKd/lwzxdqAKHYHS0NW1w2JAJkK0qwp1mkvB3RjLKmmAPsosHMZYgug21yO5M+f571JURZRSQlSigLcSsqsUSKXJ1DzIPAN9ZqlHjj93KjHTDQippoD5qbbPHpoyC/+8TRPn9jA1inFhqZhsi5o1SSNmqJRF9Rr7uJwqf6IB/cJekOfmiK7yNyqljchpEYQJ5pmTXHLVV0eenaCfkw2KiOlP1B0A0XgK3zPz/TzFFfsMPzaj87zs38ID+zbSGwksTFZs3TZgxn6ksA3jr29so5eq/xOJlNKGSezLO96IM+TQjYHeAb4tHBeWHflNVksZXJQ58SWkVfO4nmcZa27EKXwePYg3kL7nqtf9erbGnfccUf/9a9//f96gJ89c5KNm7ZN3fXlT/2Br8JXTDVTAt8dLCrgdgdNZPIjBzYZY5dXuVFifdauANoUwC6bgsm0d3EyhMhbOB24syIjVQAcVFYx6GnwPVwnkJ8VWAUp9UxetOohk60B060OTxwO+cU/nubJ4xvZPKXZ0DBM1qFZEzTrikZd0SjYO6UWJLQaQ+550me1XWN6ukyT54AxJrfLFBtnFbe9qMc9jxjXRROZCsglNU9S8zSe9tG6jpSGK3ZYfvVH5/nZP7Q8cGAjsdHEWQWgK3t1TB7Esqgu9LVE66wISwqUzo8NxfvLL8JcqojKyI48ITR+N5VHYyqPxcpbgtsUQGfN6/znbfYnowQWV0OE7rzi6NHj733Hd771J06cOLG6a9eu/7UAD/tnOHdq/mej3rHv9sU8jQmv0LtUPmxauaJTUwLdVBsOiqs9A3uWnMnZeySQHGdum19QogB5nr+QlRpvpUo7UitcfYa2eJ5rLK75hpqfUq8lNGoxzVpIqzFkZrLNYwdDfu4P53ji6CY2TnlsbKRMNmwG7oy9a5J64Ni/FiQ0gojEhHSjAKEkXs7ghQYX2fHJ/OLYo+kPXblAVGM6B/kwpe87Bg986Wridb4BreXq3ZZ3/cQF/o/fNzywfxOx0YSpIEpNxuKCWmwIPIvvud5VncUdWrkSYSVldnyyrvz8sVKYVVyY1VhnDNwFCVWIqQruIq6y5fORr6UU8ZvJwskkcavJytELCH34u7duf+JIHMf//n8pg1t7CNi+68hTf3RNSx9l04whTpNKpE3FVrJlEGJs1lGSF/XYCsBFcaBSUz1gosIUZVbSVtfMnLWrQWW+3GYdOioLprTOOoOyIqS8erDmpZlujqnXQqYn+kw2uzy4L+Hn/2iOx49uYsOkZkM9ZbJmaWXgrtecnZiDux6k1PyEiWbEvuOWux9r4kuJp0wWxJUeRU4AcapIjOZVN8RcclGPIyfrbGhQ9jmGKf1hxsJaobWXzYNx3vVVu+DXfmyRf/+Hhq8+u4FhXHfJsMTSyGq4Aw8Hcp2vXqbobZUqLVY4JUUF4KICctbolRLkdhTgRYViufKutzKPf62wfEfkqPtaFAsefvos3fTha37hZ35s1wNPnj5x64u2/90D/NFnT/LQs7O7Z/Rdv+XZE2+Zai4gaBFGmrhawZffi2Ajt5NsAfzy++WSlvvDtvC0x1ySNW5Jxtzj4BYWqXJbMKt5URlra4uvDZ5nCDxD4CfU/IRaENGohcxM9lnp9rn3Gfi1P9/MU4fnmMvAPVW3tOqCZk0UXrlzXoxjb98BvB6ERGnKcFCjptxFJkVl6SfXrCILNLXT8jokjCyDWFQAbvD9FN/TeJ50UwWkVwAcAdfuEfzaT6zw3/4i4YH9s5xtTzBsSqZSSyux1LKJA4FnM+8/d1Jswd65VMkBXrzf7E1XcV4oxOyk5KtqCe5RSemqOStgHwN6WgV9ReqkxtWlh5HgXHuIN7Pwlqef+WL62pde+6+tPXRciEv/bgE+v3AQKyZu6kSP3b6z8Sit5iaSNHJeaqyKUtUysi7BnlYAbwqWz5drWzL/mBSpAjw/xFVVmJ8EN+4hZ++yG78cDuTKYj1tsjETaQHuwM/APdNjYWXAr/5Zg099bQOLvWk2TEo21DJw15zubmSBZT2QNAKbMbjT3rUgAiK+8oTPSuwzGzBSj40YXaHS1DU/TASa11zf58EDEd04YLLoWDf4oatV97UDuFauIVtIl6DBwt4dkt/8lx0+++CAX3nfJk4vTjOY0kz5glZiaCQQxG70sq/cQCMvDzSlKILg/LEaqFcvTCHKQXr5+YExCVkFdiV+MlXwrwPm4rktnZcoa4nrJpK7H9/Hmw8Gt99yVfBny+3+8b9TBl/t9Jls1S/944/c879/7YHn+OnvVDRrKb6XYq106fDEkirjSlUrjQaudLUEdKG1C1DnEsSWNtQ4a1dlSXagc2bJ0825C6BygCvrynF13tvp+jt9L8X3Emp+TODHtOoDtO5zz5Mp7/3cBJ+5byORmWDjhGCu5mSJswBzn1xld5Exd5W9Y7QOuf+5KfqRZksjfz/jDF4emzhR1DzFzVcMSIwD+CAWrms971wPjQsOdTYbJrP3RJZctwjmpgTf/eoereAs7/vcgHufm+V8XKdfk0wklqa2DuQ6i0OUzeISm4E8P4airB2XIClZfHxHwUKq5CMqGNfm1e6hsvY8Z/R0neA0zUox8qFFw2xw0URDMqMfwevuJ+h/83mfbwjw5YVTfP4LX2HThsmtZ44femW/MyRK6ljrmgY8nQDugKepKIqrSqmSS5KSvUfkSK61yZIJI8CuWA9V+0rYMWmSZ+VcxaAr6DJZzXcGbuVqMQIvxvdjal5EozHE9/v8+Z2aX//TjRxZmMELamxuCWaClInA0gygmXXY1wOX7axlCSFXv5JmK4GTJ4udlF7k4yuFL20RYFL5KPmFndduRIlH3RuyeWrAar/FIBbZuDUXK3hemtl8KrM7lQP4SODqKh/f8vIeN165wK99cMiHvrCB5aRJP/BoepIJ7WpwAg2+omiG0HnSp5hDIwonLE8AVUllVKxUgc7ICmzsqNQstfnYvchYl/55XpeeGidGG4HHynKHh5+95j8NuX7f5/76ZU9ffu3rufiinf/3AG5tyj9+4y27jx07+EfbW0e44bVT1D3FMHTRvFIGRIJMJamUIwC3dlSiWFPWN+TBY3EQEBVJIsakSQ5uW7KJrFqSGcClRUk3eqJk7jQDeYKvnSQJ/JDAG3D8QsJ7Ptvkk1+d5eiFaSYaHjM1mA5SWoHNUu85uGUGblkkhWqZ9g58d+FMNEM+cb/m0Ik6tWwCV9EuRonyYoyDdTo8TjR7d8Gbbuzy3s/P0mtoJrLZI0GUxQ3KoLXMxtZRAblXOVluVdg5J/n5f9Lnmj2n+cPPzHD0/CTLSZ2+p2kqQSMDui+tu3Ayl6lY/fLjmtuHOH1eZjrtWp88J6a8dKLwzddaikUXUbWWaKQkIyuss5ACTd+QDGt87IubOHCse83b3jrz0atedMu3d7udbyhVvi7ArU0AxfyZR7bHvacv3rXxAlMTkKYaIRKEtGjhyi6VtKTGZMydD46XFZdEFIDOwW+r7G1FwQIlK+S0bUd0YA5s95iPUnbgdq5Jzt4pnk5c545OCIIQX4d004h3f9TnfZ/dzJmlKYyqMzOpmPEtk76hkTF3o0jfy6xOJZMmmXdegNt32cswjjh0OqAXBUwHeXN17suXVmo12ZOkkjjWTDQ1e7ZHqGBIN2ox8AX12BLmANdplqhRzseWeQnwesGrYsNknx9/S5/bX3We9322w3s+NsvioMlA16hpRUML6soSJNaxuXRSRcuyvCHPcq5hctaRK+MOC4zGUrkMqRBZCfLSTUtzHZ6zuc2GMgnBUkfz4FOLTG949uIwCba//jU3HG93DZMtyfPdvi7AT589jVCtDWlsPirDe7wtGzJXQruSy/wmjcQag5I5qE1hFxaMbXLmrgA7A3zJ2OJ5MpS2YgfaAtgj8kTmw4JSB3CdolWK78XU/Ajfi2gPI+5/SvLnd07wsa/OMkxb+L7PrC+Y8g1N39IILA2/BHctkASBJMikiUsMZc5EBnDfc5nPY+cs9z7aIIo9gqZdE2Dmt1GHyY3A8DzNbTd2+fCXehw43WRQc6MZQs/iJ+DFBi8yKCWdby0FUshyuA/l8UyNJDGSRqDZNDXg//iuPlfsDPnQnS0e2TfJwqDJUPl4nqamBXUJQT5gKbdXpXX5BEEF5KM1K+PFWVVGzwlq3BHLX5faW5Qgz56nY+zueMHSHgq60ufPP/+U96Y3XPdR0vkXRcPewt+awbdv3SSPHnn8pqef+fjkjTsvkJpGVgyf2VRjzJG3iuUMXsqRUVlS3HNgZxKlyuAjhT+uR8cxeZFSNkW5p9PdFq3chCyl0kKOaB3T7sXc94zgTz4/wZ2PTbLcbiHrNVp1xZRnmfANDc/S8C11n4y1HXPXA0nNV9R8Qc0nq9AzGbgNgef0t9IhB0/DmXbNJVYyfTuaOCnrZ1wfpMiWY0kUaTZNCC7dMeDpkwn92CPMZnz7EQ58Kp+smydqQI515pRuVSZ/Ulcf/s7bBrz+JSt8+fEuH/jCBI/sm2Cp26AtfXq+xlduwkEgcT2c0u1Sp0R5kSqRlf2uw+Br6lfGmbxCaIaqBncXQc7WOcjjisRxJCqQCaRIomTIl+77xKRS33HTli0v/jxfZ3jQ1wV42DkRbJ3l92f2Hm1iEpJ0iDFl0RAF+4oC2O65HKknrj7mHe4jAK8ckBFeGJEmlmqBvpMlJtPcBiVTNxA/dzNkzEI34Z5HNZ+7r8Wn7p1kvtNE1Gp4LY8JDZOe6+Spe2SyA+q+yO4yKznNdLcvCHL2zgGuE3w/oeZHWBvzlccCTpyrMzcj8KQpyhXkOmxnKxZqmioGoceuTYLbru/zya9F9GKPQSyoea5f1c8mS5WrlCr8aoQckSnuLstGBeP89noQ8s5XD/i2G5f46692+ex9De55qsV8u8FA+Ax8jfYUWgjXQiglnrCZ1LIoREUajtqH65D5iAtWMrcoAtAqoJPsnlpBSildyOa45NawtQabwG/+ea+59/Lg9+P09BXA4P8ywJc7hr4ZfG9v4d6pOW8JLRPiJMlsQDnGwiV72wLk5derYB85CeB6J9epCRwJKCvAFsJkdqBBZADXOsXXMbVazDBMOXAGjp9V/OUXJ/n8IxPMrzTBq6EnPBpK0vIsLW2oe5a6BzXPgbvmuZmErsxUVu4i+77NQG4KkPuea087ctbw9LEAPC9b5m0lRS9GUFANwtKsjStJ3Tjnq/eEXLm9x/4zDQY1QSMRBLElVGTWnsnYO3dTcguy1CqFz57btEZl0wc8hpFHvR7yg28IefMtq9zxaI+PfKnB8bM19p9pEK0GJIFmqDVSuam+CtDZY87khXShDP7X3Ao3pQS1oSJLqMoRMLhCO3dlVNsPLZZcxKeQQPtcypPPPs2Z2a+/e8TzAnxltS2iOPqpP/iLg1MXzQluuizlhstCV/6pBSaWRJGqsHUV4KMXQPkzJeOX4K5c8iOMYCuazyU1nCQx2S4PKUHgJqkmacr5JfjiXZojp+vc/VCdMyt1jpxtQhCgGpqaVjS1pamNcxE8Nzi/5rlxbQ7E+V1md5UBnExzZ+D2UgLPsbe7sCKOLcC+4w08OWoPFhKFsh68cBRyJ8VkfY2Jx5W7Bly6sc8zRxP6iUcrFoQa/MTNBFQVgEspEFKOMDmM22+iCGbzPso49Qg9n4l6xPe/LuTl13Q4s9LhKw/7HD0VcMdjDc4u1UgHHkZqYl8hpMw2I3Bd+ZIs4wmFbFkP5COBJtUsde625GDOIlEyz5DK89hCbBBeilQJL7ki5KZLEm7Yec/ct73+p//3Hx+eeJdX27Vu+Pa8AP8ff/J54iThz/6mi4k2sWdzn6t3D3nli4dcuSdh63TKxbsjNJI0zoPLnN3liExxJZZlv1/O4jlbj74zW4nYS9YupIhK8YKUOLUcPSV4+qjiiw81eOaYz3PH6nTCgDAKwPNREx6BEjQUNLShXvGBA53XaeRls64uPMhkie8rfF9mF4AttbeXusyi53S+G9wfcWFZEtoArSW+tOiKzTZG4AXIUzva7xglHgLNhpkIqYb0Yo++Fs7piMuCMa3MSAZS5iY1QD7sCEc2BZNXBiN5qSrGT/RDn83TETs3xdxwUcggGvBPj7V55rjPFx+s8fSxGkdP1ogTBYHCSgXCWcJFNqhIUqyjVUbEuaUMuirAJp9nntXX5mCPDRrDxXsitk0n7N0T8qobQq7enbJzoyROzjYHS3d990Dod/1fYvBf/cNPMb/UUV+5/2nRHyRESZMnj/o8fSTijociJr2Endsjrr484nUvCXnNdRFYg6eh3rRYk31oI0hiB/g8kHTBZA5qMXIw8l3VhHR1IwiDkJY4svSHjtGPn5b8xZ0B/VjxxHM1Dp8KWOz5hKkP2gfloSYUvhTUFTSUpaZw48xUVnikHGv7nnBJjyq4PYmfyZLAh8Anc01cytzTBt9LsoxoTL0WMb+S8sUHWrS7AdOTAp158XnRl3g+ZjOVgNBIwlAxN6t4/S1D7nhkwMl2k4EnnUzR4CUWL84968xjl6mzC6nOOpHF3zBWj5RMpKnETxWpViSeG/sQx56zUr2Yph/z8qsTbr4i5K2vHHLwlOTJfR6DSPGhLzY4dt4DIekPNGmk8vJNrM4BPmYZVdO3IwAHrEGkFmFKCVJvJnieQWB4zfUhr3txyFWXR+zaljKpYbYlMcbJLSUjNF8TXvMlKlr+YOLPfP83B3AhBBtnJ97daQ+vjZAODUZjjGZh4LPQTTi2nPDAMykf/XLChukEayzXXxbxztcOs8YGy4ZJw3VXRzRr2epjRZEDW3vORTGcp90XPPmUZqkjqdckD+3z+PRXawxjxTBWnDvvY4Qmth5GeKA1ItBoKfGVoCYttQzYgbIEyroacJ15vrpkbj/vyyzArbIeTVGwt+8ZfD8v0EoL9vb9GKUi7npc8cmvtVC+dnbbiP5+fgbPvfA0zR0PxXDo8eZbB3zq/g4f+sokvaRGM9PhXq7D4zwpY4tuISFkATD3p2RF61cAbrLRDtoxuacVidboJHVAVylKuUH607WEWy9PuOXyGCtC3v7qPsPYpc7/5qsBD+/zqQeCxY7iyWd8On2ZqSTB84ryYucJ1xp43XURc1Op6wZKDe987ZDrLo2xBjZMW2amDAqJRZMmiv5Qk6RuhAUYZNK5Fjn1bmvFj39TDL643GF2ujXxf/7+Jy9v+J6ariVEVjE07spBxmBTjEkJTcqFdsqFFaeXDp40fPouFxzY1DI5bbjp2ohW3dUBr5uerF7qmeuw2lM88rRPp62QWrqZKFY7ZhLaDVaRGqRGSoknhQOztATS4EsHBF+Br8oZfQ7komx40K4RIG88roLbMXxWVuvlDJ5W7gmBjrE24syiTxTWCCYlfpb2VllV3kgWU1CSV8U6LbrTjSKKPaZbih1zEb4YMkgCBomgrt0QzLyGJE9oKVktb5XF33J/Iwv4jSmzp8ZklZ+lNEqSNMsbqGwue0KcpKjY5RK0SpEyYfucyVYMwxU7h0R2gNSGdlvwyNOa1b5EFYplNKgeOdNZMVazZrj52pjJaYNN3MpeV6Bc+RzGKNIkH1OhXLCcKpJUZ0GzZLU/qZrSu3zLRd81kURv6Wh/8usDfGFhkZWVlXedOXHs1U3bZXND0Y0snVQwSBWxkI6ORQqyMmwHQ2IN7XwJUobOquXcXc3KR1wP4FX9lp0cITD5lgtkNadClUGOlJmVlYM6SztLso1bc9+48qizTnpFtvUeBbhdW5fCz8Dta4oSU8fgGYtrg59lRz0vJghiTi0aPnhHE7TvZizKSoJnBHyjRJazaz4k1IHNncgo9vi+1w/463sGPHehRS/1aCRuU1pXBVjOlREqzwlUg728dDGXQrJS4JXfTVELo7XCS13yzsuArmSZNHN149lzYbLBQSlaWIRNmWsY/tHLHCaK/IjI989Y55wXNUYCjCKNNXl8lsSSuGJYGPKLVGUbhqli8OogDOj0JP7g7Kvr06ffZU36L74hg99911eQUvr9zgWmmmB61s0pyZygoRAkRmGExFrNmoDBmvJrypJ6FXCvi++c3XKAjwYvQsqiBc2lbF1aORCuWtCT7rWWZDUVWfd4XkikqcxBIduZreyqLwEuC9kS+LZoafN9Uxmck+Bl7O3rGCkjTpwXLHRqCK0JJCPyRFY/VuV0V6XDCPAypyNKPGYnQnZtHrD/fMgg1QxTCFKBl1q8JNPhCYWzVKbQ1UinQh7buUm7eVeVqEgjg04NqZIonW9frrJiNbetjJLlXUiDykAu8r+NK9cQ0hauVw703AFbD+Blcq+MywoHLjMm8j2GSk9fFcdoGHmsdgM6C0tcWL3Lt+vke9YAXJnzSAszrRQt3ZUvcUCyCBSWWAhim83IILeA7EjpZAnqrydLyLpyKoX1QiApU8RuKhV4wuKJDLSZBMifF1/LyL4sBaVosPWVcGAfAbd0j34O9Dz4zMCdd/9oU0gUTzt96vsxCTGfvb/OhYU63qTCr9ZwVB0UxhRpNXVtxVgQqBiGboLtG1/a4/6nhnSSGn2tqSeGKEunK1kWROUFZ0IYys6hPNAUhS3prMNspoqFVLm/qY0gUQKdymwXO1fLk2RAL5NppkiwSWkqibfsuayCO7N5i71inuf8VwrtoJpXGRtAlE0MNkZiUodLIVxh39HTIb2jx9ct9BgBeO/Cp/H8+ssO77vvxqnGPA8d0SwPa8UJ8gRIBdpagtzmqpj3+XSp3Pj5urjO73myQIDKH4Xrzs+tNpWljN18k1LjqhzY0g3Tz0chVIFdzEFRuH7E9QCeB5y57ta5LLGZ3h6tJfe9GN+LON82PHa4DtrPhvnbIj1fMDijLJ4zV+kDV/tSZeGJx7HH9ZeEzE4NaK806CeKhgIvcZ9FpW6AkoqrAMeBvPhDcqxSU2R9k1kRnDKkRuAZQaqkq+dXgiQDebV4LS+HkDnIK6DOSyYEJgM5WUlznokuk3YjxRgj9SuiAnZRxCnFvMRqrgVXqTnRCDkrQu55KiVobLjxja9/5ct+670vu+9f//Bt6wP88Ok+ViT/qKbOXXdh9STHFneyEglammLksbQOeLlJX5r4JZtD4WyOgjqzT6pmUn6V51mxEhy2YPDxEk6d10ZkNeB5qadrLs47VciSUnn3SgnsvPnWsXemuTWF3s4tQcfYJbi9ojoxRhDzma8G3P9MCxlofCnc/O2igrBsoysr/sazmVmJQ8HibglOjWIw9LjlqgFvenmX93ymRZQG9FJJLXU7ZWhZVisWMkXKjMWrf+r5mByMlkUrYQ7uVEmUMo7RpcxGS5hKKXK1BsiWIB/JNudMni/SFZkq1pJ5deReNQFoRzLfVVq0SOnq8Hdv69KcWqUTb7xu8+zCPxo0kvvWZfATp04zOzXx+t/70Kf/yd0PLPLUoSlOLNdo1QRgRjVlkVyvNijYNVlJy8j1mn3YCoNn4M4BICugkJQ1D9XRBjlzuy1I8tdkDE7RhjXC4lk3jKdGwe3GKYwxd9az6WftbZ7OGw6Syj0mIuYjX5kgtQGqyF5WA8yyrzF3NkY0OGPteka66VBpHmxqBB7vfE2fP/tsyKqJGaQ1BtkWMDmLS+lmrudFZ84uHF8/ZcWaFBWQC1KdjW5QGci1RRknV9yYPVfB6LLHsihNLi3KanVnWcZcNKUUQC+lylqAj39BOJleKcIrWdLhQAtX4rFzI/ynH1zh2PnHuOaiPf9kctN33b24ePqOubntowDfONehVjOXXLzt/MW/81zEieXN1Jse9UzzeaossCljYzvyJr+B2i4AXjB5RZ4UQB8rzyy0+JjmzEFfne2hlCi1eFZxNzLsJgO2VqJ0Ugo70HXcu8ZkmzF3GWDqCnsHXsRjhyWHztawykNJiS8NerxOoyLAx12U/F50OhlR8asdyOPE4+KtMVde1ONrB+vEymeQCGoSvNSi880ERNaFk2Q6HOnkwsifFBUWFxVpVDYZ5DMhtTLFDEmVSb8S3HktkM3KBHImp1g9RAXciHxi1vrsvd6txJEoj1XlH0rpPluSaPrDOns2G1KzyP3P9C++KIouSeLkjjUM/uBTq0w0Y776lOXCYIJG02fKtw7gyqWeR+qB131TX+/tlz9R6FIqSzlrl3VV1HyXtlspWYTrnhcluF2QKYpucV2AW44AvDr8x3XbUwC7yFYWzJ3ia5fYcV1BMZaYv/pKg6WlOiLQznevXoTjNSiV8zXSu2hGWXXEmzaKONbMzUjecVuXxw5PEKY1+sqnnjotnpezKkkG7nytMJknXo2GKtnk/G9m8x6rU6ncXaJMviLZ4rkstlXPNLjM9zvKpYksmyPGGXysaaVE7frW8bodXdm/k6Yi7axAdGCiFvOi3UtMzZzEpL3i3xQA/3fvuhOtJGfnV2n5E0wGJguaMlaSo8D8Rtfeerfc/y/lydhjFdBVFh8ZL1YytqwyuBIVFs/likTpUYD7OhsA5OVbB2YZTm3xilS8yZ6nI3etXOfOcyfgo3e2CKWPkirLXo5eiOMZTPE8R6pwUipuiskYPEk1Qap5x+uG/Mnn+zx1tE6sPPpS4qcmc48EMrWV42Rde5moCkST/a3RfYuqTJ4a0IWF6EZbq6wkQKW2HNZZzGURxQWdjOlxdz7tKCEWTJ6D9ZtZ70tNXv15KSzSSDfTMHFE4HuaCX0Elt+PtKVE0wCnTp9h+7atjf/t539vT9qeZ9IaPFUmKEaA+E3CevznhBh/vlZ7P79EEQVwxschywpj50FmPrVJ63yT10x7qzFw5+l7L29MNm5mSNEilvd0Jtk9RnkRh85oupEPSmfyxI6Vx45fuKMHZHSg0ZgXnnXjlIkfTdMTXL5tyFOHIlITMDA+tdTVbGtZ7nsU5yxesKUhDzJLJi9LmPMOd10MNnVfU8YNTNWGrIMo37TAZuMlHJjTvLu/MADK4LIIPMfOd46YNQ0TY6/t87wYJ8MyqPXxBj7NqV17Lr3hXzeWln6+Pzu7xQH8zJnztFfbr7vusrmfPfjc0zT1qI213kKyXkA5Du4RUGf/q35P4PI5VSCUwC77GFWFFdXIUM0c5JQ10qoC6uJ5luRRZF64A7cDcDkUyKvKkyp7q6yv049Y7hr+58dbLA1qiMBz8kTakVWlHJzzDURbUXMkstLnKoNnSY1EM9HQ/OTbunz5sQmWQp9IagZS4mc9lOXIh4zBq/X0wpCX0VpMBm6DRY45KyJjcFsE6TnYlRQZgztJlBYuCoVMKXV42U5YypQ88CytwpFjs84q93wAz18WAicjitS4OSpbazt/9uSJQ/cl8eCvIWPwZ57dRxD4nDt7ilYtBeETJfnAxNGa3urJ+Ya3sRM8OthxjLUp09puTt64RBkdTFMAWwqkKsePqQqotZToTJLoAuC55jZFUOlpU4Db03n9xSh7eyrG9yP+8isezx6pg/SQUhLkpbEVa7PYIz77kM9bTUjJ5mV3eQnyxMhskyePqy/u85aXd/iTz9cwOmAgfQIpiqSPkoK4EtCNM7moMnnFhqvWxBgFyrpVwVjhwJ1PCTO4bWiKsRLlLJpyMq3r4xRyVJ4UzsoIBsrX38ytSqj5hNuijse4Da66vYRUnWUY+SSx2xhCA0y2AoIgYLLlM9FUGCPQcbnFRB5tV8cCYCmsnOcFdsUtcV/OC/PtmoEyI55xEViKks0LhvxGAJclwItETw5w6+ZkZ1LEU6Vb4lWGA5Wa27G3p93UqpW24W/uarHYDqCWuSeiEow9j0QhrxEZY6R1bTtbpqZNmrspmukJxXe8us+n7h+y1AuIlGaQysyeFJl7I8pmbDmeWHHsnX/JFGyen1uBzp0VlT2X2WsJqaI47lWQCykq3ff5EM9MmozocTEmV8QowIVF2LVotxULpTpWpJxBLrLdkyWrPUswqYlTnzh1n1ufP3OEyamp3U8++fhPPf3kIq2GTxi55UQmINNyOKIrNREjAdKa4Kmy3OT4HznZFaCP3sX6EiVPnIwAe3T2d7XDxQ13ZxTc+c4GOXOrCnOvYfB83EQ5ckIrl7k8dlxw8EQNQ4CQumjOLasHq/GDqLga5Yev1qKUTC4q8kQUTkbRbpZqsJq9uyIu3jJkaX8dm/qOxVMnU3TFxSnZs1roldcJyTI/YTM2t6VPbmQ5p6Qa2yjjLhqTbWhQJLRkSUYFuI3IZqnkmlyMSRUxhgdbvFgbjIsMZ+XmAfmqk2+NEiWSYSQIY4/DR88zOXfJT91ww8ueeG7/oeO620+xItzc7SWvvzC/TOB5WJMUY2zzc1OMxhWV5oz11pKqzq78+/HHYlYIoyAflSei4kyISrBZAtoxONko4KoPXr1nW1qrKrgrIM/2q/ey0tCcvVX2WusYpWI++7UWhxbr4JfyxKtYlyMXLGvHRaxhJ1shjsq0AVPd3Swvo400F81FvPGWPg8/1wDjkaROi3tplt1NR6VSyZxVSy4DubUjs2qK5zJ7nm1aYGR+d8c+zVYMKTJWN/kKawtiKhM+1ecZS1fa24q2lyq4n8fFKIvGRge7xokgit3dWMGgv0o94PWSeLOv7XGdT91PUne1aC1QqUSZ1H3wrDjNCOFmPVbEt/168qTCXM9rD+YHgVGtXcoUUZSBjgO7YHMlKk24FXBn8wnLbTtYC2xdDggqRrxpk4E8cfJExdQbEV87oPjru5oMhj40NFoKPDEqTcbff/Uzs/55G9XfY5Zh1RePE81kS/PWVw35/P19HjrgY5segzTAFxQXmir+fqmDK2tpAfJqNsMFn9kFphybp9LpcVNh7TyoN/nWJ0ZU9LeoBLqjMVSpu8u4wH1NjAH965MBlJPQTLGrm2PyOHF3hCguQClAB547iZNNw4ZpySCSRLEpQScE5Foqr/j6xgWCI8/XAnxcooxONC2DS1GAppiXpyq7NyiR1aaU4C5BnpfNWrQuRyjrbBMmrUaB7hVsnWaDjVyA6fsRcZTy+QcaPHeyAZ6HkCoDVTY3pBJcCjl6Usddo4KRctbMxiLYSibT2NEe19wujCLNFTsT3vDSHk8erxMmPqn0GBiFnzL2XkrveJTB3eOagk+VX2wGowQqr+aTAqtA2lKPFyuqBGkqswxNuWrIcYCPxyWMAf+byHRWPfx0nBSMm+e4uBKztBLS7oT0eiF6/vhfo5Qk7fa4aLvh6BnLSrtk5xyQUtqRst4RkK9j84gM1dUTu0Zzsx6oc8auBpjlDgSlNKlYhQVj5wAvJ6cWEiVjbsfYtmBqXTyWz70suNQqJvAjnjkhuOP+Bv2BD00PKUSZBCuC33WymJXPWT1CeS1KHqmPDpIfS/hUCrCi2KPVinjDrSGfumfIk0cD0D5DI/EzLa4MqDS367L3kFLIA9KxDKIqgzetKKWLdGyeAygP8o11YJemTLQJU3VTsnNuSmYfz3GsAfgY6MdgNSKFqyDPY0ApLUoJhqHh3JLlI59+iM/etY80TdB1fRwpJbIeMj01oH90gpVODaUqe+BUlpNvmrlz1i7euBi5gtdlcVkBe1VzFyB3eruazVQqqzDMKgpdO1f2XFfng4+BO7t7+RTarMBfq8TddYznxSQ25TP31bn3mTrUNEjX0OxVSnhHSmOr9+qL52WkqmUoigap3FFJx4r9w6HHK6/u88aX9Xn2RI0k8bBCMRAaL6V4TyItWbx8C+szeXWIvVI5czs2d6+FS4/LqpvlQG6qQWbG4MXQzjFwjwScIyAvXZVxHH09Nnc/63avqPuG1f6Q5WjIyVOrKDkEDPq+/RE1X3DyfMyXHpIMe5KNrYR6UGFOyHMFzxsIiMr/xhm7fO5eyCrAK21d1Z0FRoA9IlWqafrKXY2BW1XuutwENQe0VwF17pw4x8Q9KhXjezFPHJd89CstwAfpIYQquohUtpFqNetadYTyAyWKY1KpGspBRZW5GamxMKlr3XOOgSrS99Zq3vmaAV98YMgjR9wkgdgo+qnICr4y0KU5cCp1ICVEcHLTOhavAD3/rspAb2S2n08eFOfaW2Zs7lRseQ5NZWCnrFz8IwmwUpKUx2sUX2tgVtF4OVkqCVIZmjXDbS8e8uIrl/jawYSFdsuZBb/70Q1IKRiGCelwyJapssIsH+zoPFVRvKHqXx5/QyVzi8oVmn2NypTVMd1dShWRJQtK6ykHeDEnrwryrDWt3GzK7exQDsAvwT3C2pXHvLE2lypKJXheQpwm3P1QnacP18HzQLrg0he2Mjm2GliJNYGVWHt2KjZdDnRRcTUY1eJZK5tRmaOSasLI46qLh7zyJsfig9SxeCh8hgZ0KsrAL83twmw9TysXGeWudePWpZJglUVagbK47KcViKyUVVpRSpVKUFmyd3ZeTfXCr8x1XycP4o7SmBZfV8a44ySlLQlTWKzxuWjTJFft1kiZYq1FXzxHBnDLYGCoB25nMFldemTlSgOKLFTxJsU6byS3hEQhVUppki9Vo47J6B4xY/UngmLvnWL34rz5dqThody6RKkxcFeG4hfuiUpRugLwTKL4OubQOcEHPt8ijD1oeJk8oWhNK4rQKieulGVjmmXNGjsK9KpMqW4OYOx6WlzTDCQ/8IY+n7m3yYEz7uJLjaKfKldlmGbJH4TT32k2lmNsJcnLnqsAl7bU4jLT6NJYrHTnyErhAG4qsVLO5KYaS62zslUAXfXoqyRYJdL1NLr7He4zCOmy7XEi6fQ9wrhJENRRysdag3r3//zNTbVA/5/Hj53Y64bcuBrqqvVW7jmZA06O6uKcWSuSQsmK2yFFVkMyelf50idFVoYpsnl4FVdk7J6PTKh63MWjLnW3c1BGwV3dq6cspsp2f9Bx0czg6YhURvzJpxv82R1TEASgaiilaShXQuzGUVA0OHuV1rgyk1pNREnKybCMBKhlLFHajvlFK7IluGwXc8+FNezYHHFmUfLo0z6JcJMHjFAI4Upp14t7RkMpUe1DKF/biqipWMOlfKlsPkX14szmf+dfW+9e/TeVwLrw4RmdPDw++q38HaPMYcl2zEgkaQqbd7548/aLXvklff7c6SnS/re3ailKqbUauKKTZSE/Cv4eu9rEmiuNykEuZUlVklQ1eLbUVVl7pA7cjmhvWYChlCSqor1VsdNDZSMqZcckSV4pmLN3jKdjDp6VfPjLDdz8FcfeRed+/vcFI+OFZeVzVwNNUX1RAGjshJlqbUg5V9Bm4xPSvOk2VaQq0+Kp5rtu6/PJuxvsO+2BjLBCMkw9NFm9SH6ss9Q1aZ74yaFaAYl1ry1uNlb+3mQGNGlBWidbct0trfsb1mT+uMkC1JHVeZTN19QiMfa1KptTHr+cufOfKevas5R9Fiym7QR/cvDtvfDMlK75hmbdMjOps2XQfSqRaUpBqadGExdro+G1oBcVWTKut8eTOqP6baQGPEsmVPeRKTV4uVVgvrOaGgO3m8hqskdnByplULnfrRKUTFCZPElVwqfva7LvUKm9pZDO+y46aFj3BJbHq8KaYyplxPZitHJzxBOvTKTSRrjaFFmm8KNYc8UlIW9+WY8jHw6IUgVCkwrNQAh0mtl35IFuzntihI+LEDjTS9YKlC2Ljax071FVmVjYMsUvwEgHfJPLlIoPXgV7dUUp47Gx+G0M8OM5FIT7XMbmkqjcJj21kk7XUFtMGCYhesucQRpoNST9UCJTUymSqtQMVPUTo4Bfc7UxCmQY/4BrEwHrNzeMsnb+OmftHOw5cxdAV1UmL3W3yoPIfIsTadCyHJqvVIrnxRw9p/i9T0wwlB75BK2yaz5bQao10FU9OWIHPP+tKBwqfF1bpKLLlH1Vg4uR+pTUaJLUI0gT/sXtPT5+d4MjZzWoGIwmFh4DIVBpGYTJarA5BvJ82be4qQnFCoNAWpeet9iMtXNP3Iywuc3+jpECYcvVY62ZkAE/extSfB1wV0AuK98rLprK97GuQLDbtyytpsQ2RZ+Zj1lYjOn100L/5gAtpEYF7M8fVI7VQI8lcornkjWsN9LckAN/jLXzRMoouE0pUeQog+sRfzsD84jfXblLx+KejuhEhvd8aoIz8wEonVmDMpMndsT3Lp6PHKdREqgmM9YFelWqFI0H1R7NPFsni3vRDCEVaaLZtiHkR9/S5dc+4NOOXUBgrSQ0ytmGaf4+LKSCUmGXIC//776jsqswm99UPsrS8ZHSlgxuK+cuUwC2YPDnCTizA2Oel61HQW/GQD++IuS3VgO2bLBMT1v06XnB0iKsdFOmJ3W2uZEYYds1MmQdWTL+5qoAz1uVRj3R9Zk7B3bJ2uWU1oK9s4L7EtAVJtcmY3RTSBMnR0xFquSMnRSPWsXoIOZjnwn4o7+aIDSekydCFfKkaCoes8RGdHdxzKqwXh/itiTQilVYBX2esrdu3yNTKaXNpzwZTU0n/Pjbexw84fO+TzstDopUSIbGBZwypWDwsgArP1llUq9qVzpQl5LF2ozNRVko5kjHlbrakcSPkzH538oxZXKSY1yPj0vg9UE+wvBVds/Og1YwPQnbNkhmZiQ6zTblBFeoo5XItPc4kCusvu5yIkbe1MiJz/30MZZbW5hjxySKrQSZ2Rbd1S0DVdV1MBWpkoO5wuSyrA4sdHfx6GYNLq/Ax7/cYCXMwe0A7kmnvbUYlScjq05ul1XwXMC6gu+q1s5BXlbKMSZPKLdeNGN14lKijMIYN2110k+5/bV9Pnlfg6WuAhmDUcQ4PT5eXTh6yT0/k7s8UJkUyutT8mDTZixeADrzyY1ljLHd+US4oj1BJmXylW4s8VPgbo1SqAC/8rXq6o+lmMSlN01rtPFYmvAIguq+L9WrvCLbCs4evcIKAFdBP9aOtm5AVm17KgBTGREh7Yj2Lq20tUFlPpymBHc6EmDmQWa+z42usLfXSPjMXTUeerqOqWhv19SQy5PRehNZiehHVjExenKqx2j0lrFnYYeVEmW8GcJWg04rUbb0xZPUQ5uEm6+OeNNL+nzwsz6oCITECkFoNEoItwVJHmiKEtTjciW3Bq11dm3O7EqWMsrKSqGYdDNeRpjbOhzZCgZMTmI5W9v8eyXDjwC5ir0K8NfzyfN/l6QwDAXnlzwi66E3z0p8oVieVbiRtdUoX6x9ts4vXZ/R1wK7uAikLXXrGGMLMcbeYhTYpYuSvVYWnY0YkzJzTKTNdHVFkuSOiaxIFOnck8CLOXJS8oHPtDjf9d1+19INeleCcseGsXhhje6uBj7rsPf4bSTRU2H2NVst5lswjnTdu/1z3KPb/mRTM+UH39TjvqcDjlyQIGJAYZAMhaxsIgXVMloxchWWMqn4f5HNzM5Dlc2Fe56DOZctBdhtZdXIVjlTbakrJJ0dJVZRXnil2rMjF8D44XWyyTIYJpxbTImtQW/dGFHTERfOGnpDV1ObNztY1r8939VTtQ2rgC41kh0BR2kLVirfivrqCnOrHPBjIC9mZI8/TwvtnbO4zscBqwQlU3RmC/p+TJga/uAvJ7j3sbrrbZPaaW8pXdeOKOevFO81X1mqn30dJq8es5GTUTDl2gRGucd7tXy2Wkbr2s1M7qikhkRqVKJ55Q0RP/bODr/0Bz5hIl0GykiSzFWRWUTn3luWDRwpE3UtaVTen3stKrFB1l1vwcrMrpNl+txmbO3qU8qmh+zXjNqDVUIEnq8pIo/pno8owDVMJ6lluZ1wYSkhJkG7zI/bhk7JMkiw6/yCb8jka95sZRlfh/lkBfBld3ZVe5f7z8v15Im0Rbe32zbbVCRKZexvrruzGddFcCkTPD/hK494fPLeBmHkQV0X2rtg7yKwZeS+nrdf1d/uvn7TcbUjqsjMFdKgLL6yKq8yHK0VT41EGidVcqAniabeSLj9lQPuvHfAFx9RzjZEgpDEQjOgIiUpA8CCrWWllLeyyjiLMAd19j6lG1YvRPnaZtIkB3p+fq0QmKyy0ebsXZEvjD2ucVtF6dePI7O6+pnUFhegVhL97ElBrw0Lq25PmrzA6pu+jenMUlNlDC5LwK/H4qKqt6vesqw4Frn+LfZTd68L7V1MQi2BrdUY0FUJbp2B2/diVnuWz9zX4MC5mpMmwpXEilx7CyoTpOwacBerUXFhiwrQxTc8fM4LF4UlN3ov9xZdOxyorFGRUiFNijSaONRctjnmTS/v8dA+n3aUpV+N0+MRinwfCEnmjY+U0ZYn1uKSO8UFKZ3borKWtpLNc6mSJXxEVkNeAL0qR7L80RjDUzl+xRQsMX4ELd/oppRgdkpxyfaETZtC9KkLhl7bstK2bJ5zxyKv0io/KF9Xr4xMEmX94FJgy+rEQp6MJkvKALMEdgnu3Acvg0tZDGa3I4w9ElDmiZyqiyJdp7wh5U8/W+ePPtHCCu187xH2ptTecp33PRZQliwkRla6tageq94bYSFRBnJ2bEfgqpuSb5meSox0vriShjj1kMrw42/tc/isxx990m31kYPcIAiFRJl8kESe1auAvAB1risgm/yWfSZb1orkQBcOyDL/ZyKTKrYcMZFLD5uBvQA+1VWw/Pvi65KEHXmrjkzdMKSpSc32TZotmzV615xiRUniVVn0LRb7nxepW0ZAbqt/tiJLiquwAuq18mRszFhVqlQ87pzZy5l4mfc95pjIHNxqTJ6M7Vmvsr1nnAaP8fyYw+cln7y7Sa/nQV2tZe+i5ruyuogywVOVY+PP8+DoG3G4LTVARQ7kWlyMuCc2azoogC4rQ+Gl0+JSauI4pdVMeOur+nz+q3UOn8uSCm5ANakQDCitYGGyM2pLsNsC1JlbQpb8IV9wciclT9079lYZWEt5Mgr0XNLJLAZYN2FTPB9fVarHrRoMZwA37vf1B3Bm3ic0NfT0VA1JQGcSGjVbsOmoL7vWvy2urYreXg/U+ZuWueYS4wxoR+SJKGbfle5JAe6cuUV1MHvunJiR7TZkRZZImTkmGZNrnRDGhjsfbPLlx+tuOLj0HMDH2Dsv8lJCjAbDlDU6IwH2OgHmN7oVbF6k7iua0mTZw9xJybYicbrblDLFSFIhUanECEUcal57XcRrbx5w6nMeoXE6PKuEIkEzFCBNZdsqIQoDO0/9qOJM545KVisuKIBvhSjJ3rpzakUWeI4AvcyomiLZU87KqTI5+Xti9FiOuk12BJtCuCBziGEQCSKj0du37Vht+IPPpz3xj5MkKbxXN7ZgdOhPvhX3CMCLN2DXgLpaJz2qv3MwU1m+ctBXGLsAdg70smx01DkZ1d+qSL+nlecJUrpOHekn3POIz6+/f5LU6tI5kQohpNsHSJRp+VEGrzo+67P3N5HELM9WfsJGTl61ASLzxsmnXmXFWKJ0VApNLp03LowmSQy+n/JzP9ThwGnNPQ9LjC8yyLoPEBvFgKqgshVZso4mL7zwbLXN328WUOY6XGQXgKEcJWGreIDSJ1/TBGHHFIEYczxsZbdksiwvpLmkMwaEAtX4/Lat21bV937HdE+k547U/PTHhI1RusLiBUOLgpXyYGqkmm6k8s8WzQnrFUzldSTVtHvhc6vK18arAysBZVFQ9TzgrkoVPZLQcb2Wp5cFv/6BSe57vOk25ZGuHQ3poaWgLiGQZJtc2bW12yP3rE6+GJIzOowor3mXaqxhunLcyteictGPZXWrZFCZAyjGpV71exbmZhMCbXnoKZ/VgRxbamQxRbysOKSw5Na6Ft/MsjQ6GKoqa23le+5JReJQUQd27e/Iv1/dCtyVyVriFOJsq/NBaEgJOHRs4Qfvuv+ZA3oQOl0mSGjWE4yVhJFiKEAgsUn2l7KJVnaNa1JNsY4y9UiAmcmP6s+M+Mkj22KMShO5jubOdxhY966qgWVWCps9T/2UD3xqkr++q4mtKXe1S6e/hZQj/ZZlf+PX6Zivss/asL9CEmPL7FoiHwXEWLf9eIePyeYH2oy5rTVljYqQSKNIhUYOUm5/9YDnjnq86481UZCMmNDWeIRk9Ud5fj112RqLrYDSnWdLlt00NsdiGWzmjIxj8zwHYvO0vcyDS4pOo8ITT7MV3WYsbsfsw5G6nbxe3s3ziRPLMLJE2WyUGR8avpvIprdv7AISKYZg+3QHAZ2eT2J84qS67GZvrnotV5dluV5QWQ6fqWbQRp2TfMVYH9hFckdkAK9o7xEGl2nFSamCO0VWak+++HDA+z/XZJhmU/BFbg1mWUthR7T3uqn5KtAZD6zHAqZvwH42Q0DuPa/JaGLXlNBaWclsyoqzIpRbsmVWnCUNqdEEnuGH3tjjgSd9vvi4swtzbxwpMFYTGleDVBSRjFuHmXQppJRwO+5ZMQbyvOkh09ymcvxKoLtPWjopuWypShZR7gRi1ztuGdCtA3U/hNWhZLkPq7FgopHNPP/yMx2EkIRRyO65FW7a62HtBjp9v+woGQssnzeRU7kQRoFdKU6SY85JDvCqPVgFtyh39lJrdLgZ9cDH2VumZYCpY/oh/Mp7Jzl6JsDqcrfkEe2dS6QRYI8BmnXAXEBYUH34eoK8ahMWJ82Onry1enxtbYqRWcWhrLK4QqQGITQyMly0LeYXfrjNAz8T0B1mH8bI4n2laIY2P6m5LVKC3Eq3iqvMVcsdFpUFlFZSTHy1ItfhtpLkWQt0x9ijgC4VVIaPrBxgnDAKN0a6laU9FJxsx9ywd5Vr9nhIEWCtQd/x8OX4nubsfJszi2d4480DbrvakMSKYeQOqvuNdoStxjOUIyO5xuTH+mw+CmixrkQxFR+80peYsXnB3COuSWV33szz1jomSeF3P9bi8f0153nLnLlL58QTo7JErfM5C7CPMTfFSSmHbq7PO2LtlyoypGyAoCxmsq6YaU21oXAMXgSdRjqQpxIjsnuaSRVjuH5vzE9+Z5vf+sspojRjcSiiwhRFaHItnhWVVEBeSBRRySAKt0GvrbK5BGEoXktZ1p/bCohFfjFUZK3MMrr5zzjFkhVoUR5rSRn3WCPYsSXie960xOtvGDA1tRsjZsHG6H/7I/+Y6ckmd93/FL/7vr/h6WfmEH2PPds0tSDrUs8DoJFgJj/Ro7q6uDLHPO61DsoooEvA2zGZMro/Y8neaanLq0mdkXsWWNZSvvRgwPs+1qI98JwHmHneZE26zjkps5bVUl418r7X6u9Sqo1OsSr3VxsD9Bhrr8H7CNBLkI+ydjYVNpck1SSQcDZiKhXSmmzPd8VEzfAjb+/z6LMBd35NQSOhKBwBkILESIbkMUUJcosrjaWwLZ3nncWqrqw3lzCmBGcuX3JGd6wsRgFcWSELiYIozRzhHJl85LbEOTNu4JNgelJx0TaP6y4RxGEPf/K1TG+8jiTuous1Ta3m0aortk7D1jmJlJL+0P0SfNx+6NmyNMpkaxM1Yh2mHv2Zit7Oh6ZXZUlFkpQypdxh1wE8HfW7pbMCZbGvugsspUyQOmH/cc3vfXSCw0u+q4jP/G73KEv2rjQ8j4B8PXkyIk3G+lPXqpFRlVJxBgqQj+nu4mt5omVNGn9sSFBeiGVNsamsyKWKsAipkbHl4pmEf/GOLsfPaw6dEVhdFVgCpEeagZwxkOeCWBVUmvndkLG4KALNIsDMWXxcuuTHzY4CvUqWuYOXrzVFGW4WPigl8DxJPVAkqeDU+SZTTcvG3T5C+GB9dJDtFdmsCTZOS2YmNbXA/XmTjRGzI8Cu+tVrg8avD+wKqEf+/egmRiqTISWTV3S3Mtnr8WROCXSlUqRM8IOE823Br/zxBJ/8SgPrqTIdn0mT9dhbVT/jOMgr4F4vqVNl9FKHjwJ+hLXHwJ5/bW1NSlWH54CuBqB5549jcCny51nwmRoSDJ50rko7lPzsbyourAoIqnQrsOiCyUt5kl1o+WPG2kqCNbZwS2xelyLKYqv8VwsJMi0dF7EOoxcuS4ZqkTF3NWNazCQUZe3UIBQsrmr6w4CLBh6zqSJMNNL3FEFQO99q6DuuvGQTEw1J3VcoRTmurXIiq772aAPw2kq/qo+dux7Vn8uBm3vcIw6JKq3Bou4krxgc87xlHkyqJHvuak0iDJ++v86XHm5ktSa5JSgzBs/Zu9w1uDpvsLp0rimLrWhxKt8bZ+4C/OtlnKsecRXQ5MxdbtVRbSPLHZSqHk9NnvippPatxFiVfc09TxKNsJLXvWTIm1/axxcJJAmY/B6DTbDWklgYGgiNIDIQG0FiISmG9LsdQFIj3KOtbkUoigmwaXY3pvJoIE0pkjRp0Yu69vsmm01vqtnL/NgZSFNnEy6upvSjWfqhvsPzgvPWKtT//J+/zXfffuvq9CSr9SD93uWlJZRSxY5kOkv0jRY5jSZpVMG25YZIxc9V2L6oBBxJ7NjK16uvq1agLcE9xtzVjnidgVvrhFQaPnVvnf/fH05y7HyQNTGUCR2kRkhBIKEm3SB7nY2By2eLl8mccjRcHo/k7FFMuRUgpaTYVkWMDul3Eb8cTdzkTt34fYRMxrKnYyuLC+BEEciNz+XOV9CRmiFjmZlIueKShFPzikMntUv4jGT33D/KHZBy/MX4z4xfyeMXuRi5vkcco/W+ljs5omJJi/J3uc8wOlRKZM0HnW5Ec2obKa1/89Szhx985Ste7vboefjQEOUZFs+FdAeGVrM8eCMNvtWM5JhfXciTXIezVpas53sLUcqQUf87kymqdE1kRYrk4JaVgDK3BD0v5dii5H2faHLgSAAtVUgSl9hx2juXJsVFCiNy63k75ivBZnHKxWhAKdZl8tJFWS/Z41jbjCV8ShdFFhm90fS9FGCM23U498ZFzuxZPYEQxk29ss4bj0PL3otjfuj2Lg8/7XN8obJUFUGnkyEJgqFwwSXZCDdrqnUopS4valRGVE/ZvibteJ04Rf/BiEee7RxRFDhKd5TyhFSa+e2psdkMF0mrDhdt63P5RcuEwxjINqHavuNKarUaYc9w+thJGjWL8Ed3TCjGp1UlhTQjBVPr6+/108j595SsavIS2KIILnM9bigLpyqypPhaxt4qZbkr+O0/m+Dux2tllWCesczArSTZDsXVMciVqaXjQc8Y0NcD/rgF/s3e7BitjdSlVEDuHAoHKJPNBrSiAv5KplMK6xoMjDu+Rij3Wih3GQlD2je8+rqQf/l9Hf7Le6dYGZRuijPiRQZyTSJF4aDkIMc4sJIDPiML9x4pdHgB4tzTrgA9B3lhG1Y8cissRuRWYJUKBCLN6s6lxWRVhLPTPlft3cPVV1/BcDjMr1G48qLNvOHlV9xphsu/PtGsIWRlq4/qbO2RscOjo9KKsQ3jafWqzKjq7hEpUtaTlG7JWFfOmurA/HkyktAZSssffKLJH3+sRTf2nL7KmTtzTdzsvtI5GSmqyoGbs/lYIqtg6nXBPDrn+ptB+nh3fQHk/HtVt6ViF5YuStVCHJ9M68pp8/a2fICnseUenC0NP/b2Lj9+e5e6ScCkYPPH2Olym2CN0+Rhpsnj7J5YQWzcjgupzbT4iA5n7T0tNfqIbreU/z7Nfw6S1KXky3v5Ok4taWJJ0xQpa5w41ft1Wb/uTl3bAWTVkL/z27/B1FQztia+1PfS7wh0TC2AwLcEXnU3snxylBnTz9WCquy1siMdOeXgnor9VwlOZcU5USPed3kBOBmTJ3LKlLzM+iuFZ3j6sM9/ff8kJ+eDMhWf626V9VoKQS1ncJnr7lJ753Zh2YdZLYoaK5aS1QGl5WM+bLTQ3rLUjWv0thzd4aJ8nm8KUNHexb+prphU9PfoHpVlDiLT6tVyg+yqqfmGjdMp9z3jcWFBZh03Y3ZQ9tqIsv+n7HIvr2S7Zhkbp4DKYpVdnCBGNXllFasWydt1fl+ekzDWEvg1klT82dceuO/+l73yjaVEAfjH3/FG/KDGc08/wOEDj1H3NYFfbrOnx5yQ0aKqfGkfLapyB7VqH+aWoWEke1k8z393yeTVwFKKSpZyLBWvvZSnjnr85K9N8/ShAOvJUpYUDC4rtqAtBvmM79SwnjW4nkwZSexUArESGN+kXLGjT0d98XG70HWOu3oPx9TSlpLFZAGYsdJ5zNZirMx+xk3IEsZ54ykWhEVElmsviXn3z67yY/9V8PThLDiR+ZsR5XKSyZW84Mmv2IdG2gxQWSKoosGtsMUIiWo2s/DHRaV8tnKc86lXedOysbZYHYzJHRXDYJhwzdV7uO22VzAYDIrjWQC8NTHt5irrGlJa6jVD4JWztHO2Hs9IUgF3DmRGGMSOsIoc09xCVDxvUWFtUQV4isi9b1UCW2YJHe0Zulby+59o8sS+gFTlcqSSjpduKkhhC46AulrRWBLW+NzBNWMhRsBeZZQqxXxjeTKC8UoWs+jTHPl6xUIcrxm3bm63MaJwGmye2czIxgiZnSvp9LixpBi0sFx/Rcg/f2uPn/stj24iwIOiiMRkKEOAUaRCEOVtbHkLffZocc3I7rGce2iyfXvy5FCRqs+eO0BXZ2A6LBXBvoEkX1mNzXZYc2WzWlpazTob5mbp9/trAe6SH8HhIGgcmZ2qXVwPegSeHZEU1aCxeAPFClW1o6qgr7K6pRpgFqCuMLcYqTdJK4BPC1kiRYoSCUqkaC+lb+B9n2zy0S81CXMwjzE3wll0RUHV87B31ftew9iVFXs0mSMqx2Ec2V+fw9d3UtyrcR1uoBhlPOqNl4B34JYFqwsrEFmNirASYW12l1kAqhDWkqYWX1je8do++05o3veJFr0Yd8Dc1prlYwbd1EiKzZOzVL2rkXFMrEReq1INKMsANA8sq7Upo/GNKEkkPxep+3f5CI9IwjA2bJpt0Gg2jjQa/uE0jdcCfMuWrZw48Dd3XLTT+1BL1n+h176AknpEw43fyuW5oo4qAIeqbVhKknIVqEiRCtBFJVM5KlMcuAsHRSd0I3jfZ5r81z+eYH7Fc3NARNkdX4JcVNjbrslWrpnZUnFUJGNgr74eY+2R74mvD+4c1dVCq+JrIy9FpT6FCluXIyaEyRibCpsXLosLOIsZgWTsnbssSASaJLVsnk34Dz/cBgvv/3SLbpwxQOaoFNusZTdjJJGgyGzqDMzk9mFWdShxcw5l/rNF9rKs/a6ujCMYE+VxATF6HgREccLc5lkGaeNDH/r4vXf82Pe/aR0GB5oNi1T6s3am95a6jK6Lk6T4M+XcDsrnz3PORAb6UelSWoriGzC3FFVwp2vAnfdXyprlrz/b4FffM8H5ZQ98tQ57j2YsPVEmcHLnZMTzzgE9ztwVn3sk/qp85m9mJ7pvgPXRvteKVIFx5q4MyTQ2mypVAXpmGQpbeuJC5KxN9piD3rE4RhNHli3TKf/hRzosdSQf+kwLauQCeIzJM5AjiYy7BnxRKbrKMrFFSa0QblSFqUoTUbA3+bEdW9byFc0Ucq3a8WOJbY1zfe8J5dc/m0SjJ2AE4HM73sLhR376PhCPBIG4LvAGGSNI0myngTINLApLq/oHi8sh1+eUK4Ac0+BCrANumWagT9dhblN25wSGw6c1H/xMk3MLvvO71wDb9c2JTHN7GaB1lpgY79SpNkIXYK6ySPEiY+cx/f1NqpKSjL7e9yuFVzlprundpCSc3B8vgJ3rcOO2BZHCNSuX0qQMNl1Xfe6PK5LIsmUu5fv+UZ8HnvQ5csaHIPtgBZOPgtwiyemw0OT5e0WMaPGiZrwaUGa/Pgd6NdguxkeTp/azkoHMYmz4mjgMH3n3n33pvq9+5D8+P8AB+ulFCBRhb549W5bABkSxJkl0Nuwxn6Tklr3iDWd146WFlOvzUo5U3ZTSSVmHtYVBrCNLijJY33DkrOY/vnuKrzxacw2UI1531ft2nnc+BkLLtVp7vWE+Iz9TdICvI1MolU9enAAAMCpJREFUh5WOXwfj2l2I9V2SghZsBRR2/LG6900OZAp3RGQB5npFWQLnOQsjsySRRBi3qopcumBJhQLjCMoMLbe9OOSXf3KVX3z3FEfP+Y4hqIC7sDhyULqsp8G5HPmKmbN3yeR5PJHZlmWh4gi4q8NHU+tqYSILkRGExmLiBC8NueqSFq+9cRupMXz1I6N4XgNwJr8DpXX0/k8v4iUL/Ou3d5lq+oRxQJJq0kRVgG7XsjmjjFZq7nHmzsBddUyEcQc9c06K4LLIXCYoz3B8XvOffm+Sj97ZIBJZqrVg7FHdLXHsXdZ5r7P99prmDdY4JCMau/IzVTvw6xJ39Ztj9J0DXrBWi7vHSsls/rpSJ04O+pHMZtkIIY2DsBEO5KLIhOaAL6PYXLIkxlLTCe/8tgGpEfzi705yYj5zVnKQCzLpkoNcYXHJmxzIznmx2a8vJ9zm9mAxkM1WjlH2K3Nwx1mxV2gEQwsmNdhkwKaJDv/qrUvc9rIb2Pui10bGJPzKz34jgOtN7NjR/JnJmeuu/PCHl15d95/l3//THmBR0iORHklikakkRZGgxirhyumgshJc5qwupRkFeAXc5WNaWIMjaXidcmLB4+d+Z5KPfbFBJLP6gXWZu5qxrAyvF5Q1J+PSZGTFGXNMRgA/ytZraPtvcRvHdbUufG3a3v3RfG+fnMFHGyMo9feIDq+CXGZ13u78mAzcZGnxJAFPp3zPGwZoBT//O1OcmPfJUDp6ERbBpzv+xkKcXQhWCjS2HBxkKzUrYy5K9bOmGVsPUxgaQWws1iSQRgRxn5/8jnn+xe3TyMlr7pqa3vMzsLzmuMrxL1x7aYvPfvaOzot21Q/s3FFPtVZIYajXQhq1kJof4ukYrZxtlwO26KETY25JYQ+OsXVeDSirvnZ5z38+B7dUKWeX///tfXm0HMV97ldV3T37zN11te8SIAESSOwIAwKbYAMm2CZOYue8HOyYeCH2w4mXxNh5jo0d29hOMHGC1/PiYGPC4pAYjIMRZrUxCITQCrrakHR1dbeZO9PdVfX+qKru6p65V1cLCMirc+bMTE9PT0/317/+6vttDJ/6xzLu+EUa3CwOzYtkQeUddGkyS6eV9TZgtr2IQJqKJAGdnmCas91KCZgMutMTzLQuHi8kVukEBV5Dd4zVsylKVEA/XedQmGpZcWsU49KXupinKuhJ4XDgqgvH8LfXDqO3I9BufNulrx9RyC0HNHXytXvft3lz9FDWXlgPG9yhttxjgsAXAjLwgcYY4NcByVEPMti2p5fvPdC7cdPzvxghpKPZXrc63uquMnrth36/uHLZ3MwyGVL0DYdgRKA9FyKbkahJoiYp0YmX1gTMFE88CC0hSc4d0ZGU5WZMIHQJ/uWeIm6/Lw+f2VTEST2nNO+UxzLNu5O8OgZoq/IQtv7dil+T+AAcKr6T3swmp46dtiatzxDLhACS3ZKlFj5IkyWPubjmvTogy+jkXG+YqNK2IBxwwPGOi2vY+JKDG79bUhNKY5JTE041IjKCAFDBUhZdMV9VExOZoHjR/wIQSgIuJeD7KLJRdLWNgRKB7YN53HrfbITh9GcvW129tqer2PLYtgT4VVdcjE1rf8ilmCZ37GS49zcF3PFgHowKXPmmUbzjTT4c5sEPUtbGHrZyEjl2ROy5TIGbEa5B3gxuOAT3P5LFbffn0YgqCtmAtiw5YtUk7qtjARo20E2iq0m3S4LWdvgAKSuOJKDNCk1hspMBt7VigqYg5aqHDXpzEdilJkhU7YkQA2gTUmtZdQv46lnndkJd5EokYfqCZ5qxSGSIwLsuquE3Lzi479G85tgTgdwMCg7ANyA3XMQCOU2hyD7WggsUnRr+8MJ+XHneGBgBfvRggHXbcujomi0fe67BP/6hKyYPcACYufASNHwff3/bJvzg3r0IGxmEXGJd3yDKuX34vdOgOn1xJR0iDQQiExNMo5CQQwG3I0Ac4GcPZ/Hxb1aw/sWMThhuAWx7YkmMtzI9sUw6cpLlIFKBSxFmk63w0rwl4aBIgfqg4E7rvU30hMQaOOyJZUoTNxnsMmnp7eckoAFE6omSEQmoMkqSqskmkRCCRbtBpITkwNJ5Ab563TCuZ8C9D+eVKZ7Qkpv/NDHIE4fWHFsJhFLJmG85ewSf/OM6prRlEYQMJ80P8OwOWu2avfI25uTx8XGO8bgA52iXDd74h56uFV/tyf+ykqlQcAn0j7bj2ZcEzl0aou5nIITeKSP7EST0b0NLyATgNpY94tu6iA9xgLvX5PDJfyxj/Usa3BNSExVr7BL1x6LODIZ/Iw3qCehGK1UFzY+01bFfTKh1S7S+AmTyi2bCGQPdBrC9jiUlQkYx2bYVV7VHiDUppRFNEVIqlz4AUPUaVLn1BVdpZYAi1cfPDnDjB4dBCfCzh/IJqTByBk0S5MY9H82DEoZIwKEEMkewaEYWHu3E5u0FCEnACMfy407f77hPfaM8/epxD/W4AC/kGH63dtOPzl85+zPP/jZXGR6pglGCxVMYKl43+l724blW7T8DcioSzp2YklhqSdpym8kl0dabCcAB7n5YgXvd1vHAbU0staV1I2rSXLwn7tEpUxx7ArDbmE1JiPaHTVg9BB4uU6cnstbW5wbEUbH8aD3bmseauHL6pK25iTIUTdwcOvoQ2hkkLG6uPPQsLrPscyydG+Dv/nwYUgL/EVlyfRGYq6YF0G2QqzBhqYMWFT9XcSZq3uTqXIMpJaA21IUn1hFkPYUpxy2ge8EysFx5wmNLJ/pw6tTeRqXI/uyCM2ZXcx7QVaFYMM1FluWwdyCP6pgLP1C6uBS2KGxp33ZcN2m23GkFhVDFue99JIdPfNOAu7X7PZYGlfyRjDUxCQxWiQokrXcTJUlMGFNgToMdqWpLJF4Wvz04xO2EBwWA5GfJbB/LQkvSTFdAtEbezLdjRSV+HzW3MupKqg9nVHvcNKCVLFJXeIPixLkBbvzQMC45u6aUEyFiRUWGUbJEvEyVaZAyTm4IpaUKIb4ZOEwi4wDFjERPGQgaLjZtz2HvgQyqYxQDY7Oq1Tr7s3J7b2Oi4+tM9GHoD4vFC+c+KQQZ/u9HNxXaiqqshOcpCScMKbirmyKx+GSS1ATTADsGt7CcN9pLSTgIU9v5r8eyuP7rZax/0VNeylYu+MiKK/NMLXDbcmBznHc6gTeebKYjBqN6JxHYScLKGyhHgB+Pt6SWpViI9QGJznQ6lDY56bT4uH0xCGsTOo+TRFY+ji5U6+oah5qLmygoQ1egJ59CO4CMjeXE2veGxJI5Ab784WFISXD/o1lwIGk2x+HlRl2hEnAk7OlGdF4YRZT87gcCA8MSrkNRKrg47fRzh8vts5/s3zcsMMGY0IJX2rpQLJb7fT+86i3nnxIU80ClRJDPqtS1+MSZPTO3tOTk0lCVWArkzeCmCty//E0GH/1qGeu3eUAmlSycoCXxgyB25sS8WyZA3TIMFq0teRLkzcviCzm5nr38UIdMPaLl1sImBycszds43COrbX+WtNrSttyphykgFHdxU+UmpGR6OYu6LCtLDpwwO8DX/mIIb1pZB2tlySVPPfR9SOviodHDgcRFa/5/yFVZ5KGREPsGQuTalgdSiKsqlUp/V3f3hMd1QoCXChn09fVh8cI5O1eectzWRXNK6K74KOVDlQzBjCVOeyiTVtumJ1RPOG3eTZiAdAjufyKDD325go3bPB32Oh4tsYGOJDVBOjvH9l5atRJtYLekLM1l11oC2gZ++gqIVzkouFu57yOPJdJ824TP2vEpiIENC7Ai6d2MY1oMyBFRkJiuUMtBROO6KlGOZxLkwgcWzQrwD9cP4cLT6mAmmdJ2ACWAHiqqAgVwPwK57fghUd2VRiAxOiawd8DHaCOLtq5FW9u75+zcuXMHCPEOH+AAwBjD3h2PbSvl/GuWnzwb3e0jqBQCeB7XqWyiqWZJOnAqrkQVRwRGk0pXQDrAA09mcN1XKti43YOMwl6dQwJ32nrbmfHjqySyyaLb8nbTZDNlyZPglYn11Ofjw1s2vdBvLTNuU5D4F2QMfIHUZDS22okLAxbQhQ1yimR5ZmqVgaPJVuIa2DHIVStxIRzIBsGiGQFu+ugQzj+tDsoFEJjSaJaXM2HJFR8PhQa5QFRYKOTqfRAS+CEwUpPYPeCjZ/o8DAzVr7n73jXb6CRaAjoHW2HGjBmo1qrI5/K7n14brhnte+bcDsdXdeEcDs/lcBnX2famXkkMcGOtSQrcjHAwj6NvgOHRZ7K44dtlbOzzVHk1OpHlNm55xbtNqz9jue34bpKiKc0TTNkC8Gjm2SnlJCqqadMV6+KIYpuR/HyiEWFaxhtKeC1JDPyETEhiix5p4QkuHkuFCtQynnDS+L3QIgGhVgiATlcjkurmwEKdG82rKZShNv+QBhyLZwX4xkeH8JlvCzz+dBZ9+wngyfgo6KjTOAUO4DqenOjUOONsokSpLA5X+zl3ThFvOnvBmjNPW7W70agimy3iYOPglwCAQr6Ahx97cvOY3/WNbHElBkcVuLNegIwbwHNVqbS4NnerGiZ2uhkHy3Js3O3iczdX8OEvt2HDtswkwE0jcBML1JEkCAVaZk0c7eAqA8rJqCdNScYgLVgISagsTWY9vbwVsNPOHgvw9jPSyxMxJymvJ5BUU0xvH1jezib+TfUj2aowik+RVph0ypIrqqLiV6RPsXhmgG9eP4i//vMhLJzeUMEoCWXFpi6Kk4dClYmrcYIaJ6iGFLWQoB4Q+CFBzuVYfdZJmDOt7RsbX3hs82TADUzCgpuxdOEcZLPlJ7cX6ncO7tlxhSfWIZ8L4blhgpoQi57EIa9GFgwVwLMCm3e7+NwtZfz0F3nUOUvp3BNbbgLbFd9CNUGqxkmqtkl6mVmvmaPEi9JSof1ZayH88EcTqJs8k7EhTARpEQNsHRloWX/ALIcVeWhb99jjSUGSlp0q7yalmIQlB2gITGnj+KNLasi4Ep+9uYItOz2VGaS/HunkVqgtFwR1QhBIgjEB1ATBGJeohwFOXjIfc2Yff2el4/gnJR2e9LGcNMDbu3owOrR926wFKz5ScR9gzK+/LZcZgRCAH+pC+cqnq6yoXeqBcVCiM3FcgS27XNxwS0mBGyyVsDAeuGM4UaJ23EWsnMR1/FKaN1KWmSLBq9P82/RwbJVgnPZoJhQVazuHhOSmLyiOnbDKFpjTz6ZaVGS9jYMnoiDWBRCF15JIDqRaTlT0QYOfxNVqlQdfxCUqYNEVon30FsijfWsAGUfgqgvHAAnc8K0ytu721EmLvJ7EKk0BQKqaLKGUCCHQCIHRUKKrPYua03bPqnNXfmTT1l19i+bPmPQhnhRFMaNYmQmH39vXM2fFcztHO3HL3XU8vqGBbK4K1/XjylMkLQdq+pIVeGmfg898q4Tb79fgTtTrHgfchKpd1UB2I1DH9QRZS33byrVMWHAZUQvaYkKJFuBuoiU2JJvI9qGZ83SAVSskJxxCFjWxP08EZVmTS1jW2vDgpqx82/kjaEJtiSammsIkJ6PNE09VPcsBDyiyUuKdq8dww7XDmN3jAw2eDLeVqfciBHgDXmMYq5bswjWXbsYlZ7tYffay9f/y00cOCdzAIVhwM1h2JoDpNz6wbtu87/5n7l31n+3DTR/chfNP4gj0gbFLPZhJZQCBx9dm8K2fFvETOxMHhnrE0YDpnEqDKHtSmW43Ekt/aSmwmYrYkqANbqAZ5BEFSS+zrXpqHJYOboM1sthGMbHWIbbbXgMw4Za3rDWxaUksI6qNEV0UKDUBJckaK8biK8uteArVe9dEV4i6A0pwdRFRQAZKbXvnBTWAS9z80yJ+tyGLhp32FhUoZIAEmAhwwalDuPH9NfR2VcKxzKqw1L2iLoWPaw7xuB6SBVcn7yR88uuPDAXOcf9r7tTOh/OsEy+8WELD98C5A6kLZRBtxZnDUYfE9+4t4Ir/3YHb7tfJCibNjKaycWhqQtkC3Mk4k5RDB0mVJIr4iyy0bAJ2LO2RJNVommgi2l4K9y1BPmmct5hR2hZbJt7HljspIZLEHSBBTdDqfUwrE9baTkEU1qTTBGcJ4wgy7+OJp6l7KAWL3fpStU9xBcG7Vo/h7r8fwHsvHUWBhAA3k0zDbVQYNHWymDczi8Cfgf6hRY/Onj97ejFPvlQuZg4VroduwQHgC9e9Db975pnaxSe91V/31E+xYlEGtboDSjlcJ1B15qmAlwlRFRLfv6eAT3+7jMERuwh9K85tv46RlJYDqXnYKkkC2BbnTj03eTJJM4ANapssObFjTRK2PeW+t5E+Ma4lJvg8wdG1bEhsAKtlOmfA4uFWupu9LLLiuihPZPFlDHJixbkA1qTTzAdjSx7Fjgu1DRpVwAKIzg8FKCTh+s7O0VUU+MIHhsGoxA/uLqEaUBVrRABQBpcxZAjDXb/qQY504H1/clWweaMcWLj48GbxhwVwADhh8XxAiidmtC08s2/Li7m6z1AqNKLahS4LsXkvwd0PFfCF75QxOOImrXZERdLAjp04BpgusbVuTU1os/VOhlw2x3fbgKYY57MWzy25OIlBHyN5ot7AyU9MLmIa7JGTJ62S2MAmyfWbaUoapFDx3Pb6Fi1pUlL0DxPNlyRU759Y9FAgp1TXOiQEhEpACK2/64L8elZO9cGUIJABR3tB4G/fN4ysK3HPr4rY3K9Ccx2HoN2V6MgK5AoO2qedONbVM+eJyTh0jjrAM9kipBz4VL5ntXzmgX1/MSW/OTtvhgArCGQ9H09soLjh1jb86pkcGqGjMhBaWmsL2Ig1bqL5dRTXDSuBwVRWRTq1LLboNr1IJBQDLS13omua/X20cNkf7OAcjrFpEVwVvTHgtrdrwmYTv6WXpSacSWdRHKtCtLWO4sGJRX+kVBn5ZhuCQlKlBSq6TeNUN0gQIWASvc0dJMoiogSSqLQKEIrA52jLc/zd+4dx8VkN3PAvAo8/74E4AgWHYmopxNWXLa5fevmbbhKUfLqzrXS4MI1T4w5nfPazN8rlp1y0plTIsY7y2JlthZdZR2UET24U+Mtb2vHfvy2BE88qY2xzbKtXZcS5dWs4Ej+awl9J0hVvv6cW+O2yx7TVaxMbHsWIk0TcOCOGKZE4jtyUOdZlks3npmyyWZeCWBdMXAjTzu9soks0RaNSk+Hk8lQL8fS2ooucNDusEu9beHLTc5TENUuSNCzBr+KAL+hwAaRfR0FhiqczRrBwJsfiGT42bCPYticD13FwynG9/oqlc25EY+BvFy1aGuIIxmFbcDNWHDfkc/R8MU+L/oEDwee+fJtD//2Rbjy9uQDkVBpUfCQMatLWPM54dxBb4URbEVggJUjIgE2xJeNZb2s9cwKB2OJHuxg9p8q1RevF/NuiyK0l7cMdkWKiKQeJl9uvY06epCmCqFqAtptfpiiOkCTB34V2l8chAIBJu4g87IKCUmHtpioTouoLqoA7qYPupIRqW2KpJUQoXs5B4AcAbQArFgt87UMj+MlDAf7zt3OEV+75nKAdX3147aB/pPg8klMQjW2bv4/u9uyS/3x41zPv/ZtnWCBKcD2KhgACLmK9E6RpIklIKswVcfRfworB4taIQW5bb5uXpy14VIx/PIseWeJ4GUksi4vRM0KsOwCxPifRtghNWnYWFb5v/h27GH7UMMD8B/Ofos9lcllU5xEwDb5M2Y64j5K1ntX0i0TtGVNNeKMiqOmqwtKy+nFB1tZVFOxa7ybZXC1TjiwKzhkC7oALBxmXo+FX8UjfW/me0UUnZ5zquvdd/Y4jxuYRW3AAGJPHIddR2sRyM67907e3f2vNr39Law2O/gbDAZ+Bc4HI3BgLTuOiPJ5d0sECdmQ0DeCRjPxrdUtv/br5tpucTCa7FptLv2my2WQRSLTN9DgaliPizwTNlphYE1IQmPpnUppSaNZkk7RIjpCIOHciUCuKSIS24saGW/+ImMmneatuI0pm1U2mKIl4PJMkKlsjpEppFJIg4A7GGlkMj+bQ8F3MmPNmccFpi6/duGfupq7CvqMBzaMD8OMWno4nn97kX37RWbf279yezwVdX3vi2V0Y2avz/IRA5NrVltsh0G1ElCpirHJ8KG2NTCaBiRSobHpivpUCuaFBLS8Ia3vphOQm6mKte3CHjnUBWOsm5b8WI6WikAnWaQI+zERSJDPxYZKQNauxXfvmvQG8XhbVCtTAjfbd3jnzRIhWXtQXiSD6jkASx82BvjtIVW2Yc4q+lx2MNOai4XV97NzFF9y6JLORVzpPPxrQPHRHz3hj5bKF2Levn19+2eVbrnvfypHLV0tkswEKaKCDDSODBkyrLEaBHJXIUYksBTJUwqMSrn52qN1xOJb/0tY9CodNgeCg8p8+RyRxJVjARbw8DS6SXMksbeLjTauMM5LOGmtB4kP7mcTAsgCWjPuG5bxJv7YvgqTjKP4dO6acJBxHZtJoLpooX5MryhHqZ/XaPDuqTBwMT/fhow4JjqFRjic2OeDF00dOP/PSLfv27uOVzsVHC5ZHx4KbkcvlUCxuuAcdy/584fHhTeef9FjHjO4dmDtzH77/8zwefNqDdFTgYI7F1jtOTLAqMxEkT5iNnXEoQWvL3Bx41SQhpu4ONj0B0GTl7V1oUhUOx08/zohxF08040mipgPa5a5DVFKTTWhni7SojmWlEw4jmwppTq2D5+K7CIn2KgZ+Kp4lOi5SFegXBNIBCKdwGIHrCKxZC3zv5x2Y0lbC2Sf04vJLzhvItC+/7sGnd91zxgm9RxOSRxfgpZKK0d3bP/LD01Zc7PSUCzfmwru6Z87ajsfWNfDQUwpRBSqRY7KpnDEQt21WOXokLnpunXQSH/F4TEBPWlnwuJBPM5UhlglO4zVNN5IfHvkxtB04RuGI9iHJ2mKHj1nHdghF/FqXkogsfxL8sU4uLVUmBnLz3lnvjGKTaB9uDqKacDpUqIsQgCM4KAU2b3dw9391YtnyaXjL+eftW7HynL8M/eCHJy1ceOQHMDWOKsDN6OkqIfSHvrv8lNPp8K51X9i89bnu57e5kI6DAiMoOAJZR0Yt/EwkrJQAJyoXD0JLVJZVsFSxcUfa2ibACxv0JPkeSNCMdAjtpIOqWs9GJxzNYJ74X0ZYlNolbyaUeiPKQSOTVMSy4lF1K2lZdiSr2U7qvxoXviTgnCLUcSlGUyRUglOhmidABeH5gYtFs+pYsKCOpScft++MM07/RP9A47vdnZXDhduE46hx8PRwvAr48E9u9TL5j9//1MKBDTsycDwH7a5A0ZXIuxJZVyLrAhlXIuuoOhie7sWp6zRGFUdN01Nj0ScH8nhyalvjVoXsYx6eUlRSqkq8anzGbQN7NEe0XZm07Oa3ZPpzGX9gqyFS6FDZKMBKH1OkA7RIyz+RNA5xCT4jE0pJEAqKIGTwAwd130EjcNDw1aPecDHWcDHWyKBWz2DO1BAffk9uoFjJf/yztz546ysFbvsYvmLjhptuokHAr35h24Fb1jw+UJpRpsg4pl8mYoqis0X8EBgLCMYCna6kW1YY65bojkZ1a3GiqyFR03dea980du3bejMjcVJDovGqBri9LEqAoLG303g+iaWhR5o4tV6nlhu9nJBY447CC5o0cRm9V+vIeD9orP0TezmJNXJCUnq5pXNHzXqJSLRlt5/jRPJk31LjmoeeYIacwvcd1H0X9YYLP6S6TJzaT4fGmrrncbQVhuA7s9A+4w82UJY5cWrvicERg2yC8YpQlMRwO0Wpzb1tEdrDEorf37VjW5YQhkYgo8IurqNAxQXAAtWmeVQSjAmCBidRMwFHSt22jkSxKJG8nvrZtOrSslxyE1dPxaPgVbAAE4zx7wjq9pagbOkJuaEtiQmqFYcik9GGpouETY/UMUw6eVgEcqVpAwwhVerJWMPBWEOlnjFqOmSr142AwR/kYDOX1dsq3de4xRNfJMQ7Ijf8ZMYRxaJMZjx477/jsjf/vizl2l+Y3uU+P2NK5rJqbcAZqgIOpShkCfJZglyGIucpj9+BKrBrlGAoIKgLY8Whu3RZVs9+UKseirFytJVlJC2sNhLWtak2OGLr3upiSMedHPx16yAx0uqB1svikAKbUpF4zmAuhejiJ7E6lH5QK0Hb9mrank8momRyxjgch8NhKifXYcBoNYuXB3IYrjpo+MqyQxJdWiTE1p2AdBfWC6XpfzRvdvftu156dtvcuUtfafi9chzcHh/+wB9geofPP3nrH99xxerye957ZbHW2z0KLgiKOYJykaG97KKn08O86R7OXhbipHn7QYNBSL8KHgbwhcSYABqS6C4BJM5OMSM1WWwOWCLjg4q28GYafdvioOnfOlqj5cSu1TqyxXPqIURc2coU0YnLuaU6PjSFz6b2IWo1Y4M7hOc2UMhVkcsO4dltNTy4Fti8neHlfor9QwyDIwzDNQZCKPr2VvHS0FTsHp16zTkXvPuONb8J+NIV73rlgYdXwYKb8eMf/xgDv5mCqYuGnn/LFVNeHBzOrhb+WLaj4qBS8jTIKWZNkbjw1Cp+f9VezJt2AJu2AwODKnVNEtXVjUF18DJ8m1HLgmseHtXJt7k3JQmLHwGdxkBOTkCtC8JEDr5CFnzCh0LauLJm2opHUp/9H6Jns75s8VvSuvPJ2GLrWjdMVxJ2nRCFbB19ewN8/l+L+OodU7B1Ww4uBEIuEYSqYE/I1THvndLTf/4FV+5cde753x+tNfqWnXziqwW7V8eCm1GYdi1uvrUNLpnzo9OWLf3w295y5v55szrQVZHo7ZSY0sHR2RYChKCUz+GDb/dx9QWDyLAxgPuA4AglEEhVASmhqGjLE50oIBEvTkkarNbyNGDUlixlBalg7FeHm7dybkY/nsi/TFtxnUsptAUXsSUXUhfMt2sRipiHx1zcpm5xhWDGQrhugFAE+LdfZnHLT3swOlIEBTAwzNE/GGLvgI+X99VR50V0TDt9f1vXio/d9Kk/XpTP49f53KGnnR3JeOUnmalx7Z++HwAwPDT4A+Y4zoZ1T3xx59YHuv3GEAhxkMuEcKhAEFL4gYu3r6rjrofqWLstA7AQUjKEIOCItVvIiTkrbfFIW+6k7t2si6dHwrNqLTtYmMkhj9Sk1/6tpDxJUvxCTRaFacoqtOeT6gL4pnEBMRPRWAdPWoy4Ya+x5p4bYn2fxF1rcoDrgjgEXEiM+crqD1U5OtorOOXUM/edu+qsvwqC4Ac3//hp3PxjIvEqj1fVgtujXGmD69DvLD35zE+cdubKfWOhg1pd3QIdR8lTxBFKNZHSKi0gog5ddg0/G5wJCbBFiGos442jrthkPjVsqwkkrWti9UM4lS3DW2BPEAHStEGZeJnQvS3tO+6sppqzCqEsOrese5qTx8dTRnfEiItTrgs8SRDVJQpcSAQCCDhASIg5M4s497xV+85bdc4npCTfaW9rO0YoO4YABwAvk4frDd/aMe206+csfuuBSlsPPFfAZSGKuQY2bxf48veL2LjTU90DdN0MIWRcbhdJgFCYLgFWnLcNeAvcSbpCokdrfMtx0SztF0dioya6ZTT/rPpJe7Ipkq5zIwlGbQMNyM1yvR7naZDrwGSiNkwi661K73EhsWC6wPXvHcaiWaMYqwvUAyDgBNOm9uLdV11y4OILTrt+YKRxa6mYf7VhlRivOkVJD0KmwA/4D5cvLw1s8fbMz2d6vySr97tbdzfwhf9bwT0PV9CQ0GcvBLwQUjoIJUvckW2HCbMAHU1A9cOe5JlkWNtSjquOpBZKaZJqrWXEWNqDcIqJjodENAG0/9t4VEXtS3MYAwFUnDaBzrDR6WIWS+B6RUpk1DdTUBNPYn47bj/jUF2qjwkwOLjiHA5K9uHT33UxdKCECy49LegsOx8/YcmKLcVC/j9c95jD69gDHAA8l4mh/evvmX3cpZ7jP1fbvat+8z/95DFy35N5SrMZFJ0hTClWMTDCMFgjkMRVdTcQ30qp1nOppaiYzBsWAT2VU4nxQdM0dJSdpSrDVHEwcUwRJ5ZmWdSoOjEOGpXYYl2S/kLrXWwKpSVEB1UR7dyhyQ0QqPgfQiSoSE5WTXy3UlRCZDwfI/UQA8MEbXkPBGVccJKPT/6hLzbtXymXLjrhg29dNf97L7y421+5/OiFvB7JeE0AHAAqncdD1p/2UZryw9LYnAezRfKOi1YO/p/9+3dh9RkB3nruKJ7bJHD9LQS7hz1Ix42ARGyXN4klQWaBO5EyZllDYiFHShMKiiTFtYKh1JoxNVLacdKat6IRk555WjQlBnesaqSDyRK/YWJLrP00dyRhrLhEk9YNQUAIBRUmmlNEVtx4Ml03xJ5Bgetv6ca6jWWsPkPiwhNzmD5tKs49tfQ3bt+snxQr07f/8pn9/uXnvTbADbyGAA4AJLsMAMa+8q07NvaNnPTFd128y3Nk+VMlZzMrMo7Lzt6PenAA77+plIjxjnI0bUAz60FJBPiEbg0kpAhblUnLjxIm4yi2y1LKeEJq5DoN0HHDescbEk3qTQTkJpUnpjAxWIlpOx/VNYk+0f9ZRRJKML1T8YVAQSHAKImkRBFlwJtsHo6/+U4Zd6/pQamQxYYtHmZ0z+Fuuefzy88rfJGx/XzekunHGkJN4zUFcDM+9oEr8cD9d/ELL7r6M/sHBpy+zQ99LOS/zPh+A3OmDEeBTHbhHzvYyqEEjq4O52hwU5bSwvVJj4fUHsDYktveQkC3gKTRR+qZxBdDxIMlJk99zCDN7wmx6FckeUpVQsbec4uWRC1L0puLjhWJst1V4zChPydgjCDkBA6z+/UQcF0Af+POLKiXw7xZ7bj68lMal12y6ivtHR2fufPOu3DFFe881rBpOV6TAAeACy+6HEPDoyiXxj5VPvk8WhuaeuaBHf9GfbnnTAbqFJgA0xMnU/TeoYDLLHAzdbIMPYm07+g2ry2ZzowBAOiW1hLG3R0HHpksFqpjsLVBbxalCVILm99HF4DNsSfg5sbhYqiY2Z6EgmgUVixUn5sosVhvLBEVqatZCamy26UUiqKEEpRScEH1dyWkoGjUPRDpYvbU7pA53Y/+1QfeJlaeOPfRoRr/VK06inxhcsXoj8V4zQIcACrl6MB9YtP6f0bXtKUlb+i4b19y1vA7+/p20S17aiA5D2VC4DAJ11U1htSDRiC3Sz5QkgI4MTEaMqIdgI7n0NlFQGw9hW69QUykXsRDZEzMrTERS0k7k2wnE5AEdxwWG+eowuyPUI4vJQMCnOs7Ecz31YXBYfwABFyHKqsLgYIQFRlICOAyVVzTYSFct4qhag+4u1hcvnr27Tv2l97Xt2PdyKXnLz/W8JjUeDU8zkdtPLPuReRy2a7tO3Z95NePP7x0/c7+K375yG5MLWTQ206QzwCeo261LiNwHGXNGSNJ3g1jyXV8h1TcNAwl/ECgEQg0AgnOkVAjqKXG2KoMY8naKCwVE55Yn8bKTiLK0YqlMfVNTNy2w4BEHLfJgoIGNSdo+BR1n6AREIQhIj4Oy4kFYpXa0JTOcVRHYddVyd6eK1DIheiqVJHP7QP35qAezr1zztxVz3V09n7d9+v9xbb5xxoKkx6vaQueHicvmQsA/VI+/9cXnHv57Ace24JpXduuWL92PTyMoJB1wZjimI4DeC6B69CIltjDhM0akEsJUCrAhQRvAIGOSzdGmSXKXynVhB4W2T6EEak9RovWSRw6ScFcnAElCDjRQAcCDfC0gyuxaUIQUsAVUpXuJUAgCWp1oOED5VIbentOxpA8/s7d+0+/bmjH4LY3z3ztTSIncQhfn2Pdln44rrtg06atJzFe+8j2vs2rdu/YhBe2HgCjFMU8Qz7nwNMABwAupGrLAWVNDT9numGyEBL7Bzl27WtgpC4gVT3JxKSVMaIms0x9z6Gk2YITEmcA0aRlT1hwGlfkIq0sONNWVvdsZ0zCdSQcJqL3lKok4pGqi749LvoHJTiX0e8xPScxea9CmH46ap2MCxSyEsW8QBA2MFhtx4lLF2LJ8XMfamtzv17unLsWCDcTMvVYn/LDGq8rC26PJfO7AGCzlHIzgOd+/YiYes4Zi//pzvueX/C7p9aydoegkKPIelTxTwHUG4BvA9xRJ9hzVS6o60rM6h3Dhr0cOw+4KHgSGUc9jDRISFx1ddxAFCPhWQ+0WDWhZ49D1u0ISKZpiuNIeI5AxuXIeCGymQBjIcFTm8rIMcBxSHT38lym7jb6TIdcot5QdypKCBqO2v7Ubom580/kVbF0c8YV7581/6zdADaSV/IO9SqM1y3AzdAnYKMI9m8MQv7mU5c70y8899Tb1z/7aJk3dhWq1TFkPBWDsXOvRN0XcBnRoAayGSCfEchnBSqFEHOnj+A3L9bw+OYp6M5RtGW0s4MqQFABnTaXUkWs2PEmr2ZLVaO1syZd9lhvPKYoTLVR91yOXDZAMV9HpTiM+56heHxzAcf3SJRyBLksRc6TetLowGEqPdAPBAaGAnCh7gr5fBHz5s2qnrHqrOFcpnZVjc/dCcK2vd6BbcbrHuBmULcTnIttF7+pe/uBweqSad3yDEjxz9te2hrK+nMdDnaVdu2n2LPfQVfFRSHH4LpAzhMo5ASKOY5y0Uc2w/Gei4Zx24NFHGhUkGUCLgMcraikownTunoC2EbKS2fJWN+zvap2jmS62BEhycmnasKrEg8IHcUPf9GLuk8xXOOgRtsGwBwK4Ql4DtDTHmBgLMQzO1ycMLt95JwzFw0sWLDQYQ67pmfqvMe8TGGoE1KQtND+Oh5vnH8CgDEKQogoZgYPTJs65ef5QmnRrx74r/knnPruzxc6z1pHClOehleqZ7JZOEwg53Hksxz5bIhiPkDG45ASKOcpFs0cQS0Q8HmsK5soxoSyQmKlxARvqSL0psCOhNAP9aXxE6Cj6D8rrDUtUxKq7yYa5NmMjw07gOFaFowAjQCoNgiqdYlqnaM6FqDhcxQKWfT2ZOsL55afvvptZ667/sN/+Pmf/Nvt88vl8qLu7ik/f2nH0AFCyBsK3MAbyILbw8vPAJT/ozbQvxWUOl8CYV+aN/NEtnRR6eYM8xc1qjvPoeFuRkkNpVwDGbcKIVT5gxk9DG8/ewxrNymVxDCS2FOol+tJpMNIJEWaSlJCAlLIyPNJCSB1KxpiPK4sBWwd8koJdKEcW4ePE4EBRI4p1+G469c57B/IYFa7gJACB6ocIC4yngPq5DB95gx+wtI5D/d2exs7q0PXrnmW8kIhi69+8yty8fxZtWN9vl7J8YYEuD06uuYB8d0+HB4eeh9zsu31Wv/fvfTC/d7+/u28va14yu6B9lNHBmuY2TmAroriqhAcLiXIeDIqa0G5hHAUuBQnpnBcClfpiOBCKEvPldUmHBBMTXQdHZTlUOWMcpiMlA0REnAOhDrTxtUyn8tMHIyEy5RWLQRFI3DgBwyQQqlEIUeGcCyZW0Bnbzv6D7DfuqLx1Lz5s9nbr7jYn9bb9cmxeuPAokoFAPCRY31iXqXxhgd4epTLFQA4AOADALD++XvhOli1ZRgXd03nV3V1DS3Otu+E5/0OhaKHoheikgshQLBvmMJjFJ5rYjcoPIci6zJkPGXBxxpAvSEQhArkUippjxCmv6c0+qyn6oZIqPgPIYAglBhrCFBCIDzV78ZxgJyUcBhQyAWQ8LFjjwcpHLCpLgTJo1RyceXvrcDSmXmcuCC/Yd4c5/bnd2Tvc5h86LLVF+MTHz3WR/3Yjf9xAE+P40/4PQB4aGRk8CEAayj8+YzuFF72RXHWigVzL1rW81djw7sxvVfgXx/ow7PrqvAoQSnL4DIK11EWvpiT6KyE2NXPsbtf8fWRmpopFrISlKnW2IyqUnWFHEchpyLah6sMrsOxsz/Ezr0CnWWGgnAA1cAPDglQKTRQzh9A/1gRe+qL0VthqPT2gmTWf7FS3vXie1adQ0+Y00mzWXcLgJ9fuaT9WB/a18T4Hw9wM0qlNgD4uXm/d89e/Mm7M227du1+dMuWLFae0Aiqzry/uPBs56LOAkExK7F5w7OojdVQzBEU88DiuYOo+kMYqWbR2+Ehn6/hkXUUU8sMhAhkXQkuVL5pOd9Ad8cQHn0uCx6UMLXbR5UH2DtcRHebA8ocEMqQyRWxbOVJ6KhIdLXV0N4I7n/spdzX2rvgdkxZglzXWx760z/wB9vaO4/1IXxNjv8P8HFGz5QeABgEcDcAPLtxO05fjhcoMCXrQlBw9O95CWHow/MUbWkvjQWVnvNuOPes8K09bQhmTh1F12ygNuhhagdBueiiUqRoK0lM66pjf7WKIZnDzO4semcw9x0LnJ9d9/mnbnDm5VzGGJjD4GUKmD33eBTzDrKZkHZmxJ5PX4sXiTPvWB+i18V4Y6j5r5Fxx89+DYBMCcb2VtpLXC6aVcWv1gvs3JFFbxtQzDsoFSjKeYnezjo2vdzAY2tzWDiVYfa0DDluQeeQkNjTM/OcY/1X3jDj/wEOsQbdXpQr+wAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QyMjo0MDo1MiswMDowMK10OLAAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMjI6NDA6NTIrMDA6MDDcKYAMAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 247997000
{'hecke_orbit_code': 85568392953602568, 'n': 1, 'trace_an': 1}
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id: 247997001
{'hecke_orbit_code': 85568392953602568, 'n': 2, 'trace_an': 0}
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id: 247997002
{'hecke_orbit_code': 85568392953602568, 'n': 3, 'trace_an': 0}
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id: 247997003
{'hecke_orbit_code': 85568392953602568, 'n': 4, 'trace_an': 0}
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id: 247997004
{'hecke_orbit_code': 85568392953602568, 'n': 5, 'trace_an': 2}
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id: 247997005
{'hecke_orbit_code': 85568392953602568, 'n': 6, 'trace_an': 0}
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id: 247997006
{'hecke_orbit_code': 85568392953602568, 'n': 7, 'trace_an': -2}
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id: 247997007
{'hecke_orbit_code': 85568392953602568, 'n': 8, 'trace_an': 0}
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