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{'Nk2': 21504, 'analytic_conductor': 42.92757612664033, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5376, 1, [2815, 5125, 1793, 4609], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [2, -4, 1]], [11, [-2, 0, 1]], [13, [-2, 1]], [19, [-4, 4, 1]], [29, [-4, -4, 1]]], 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482045184, 'hecke_ring_generator_nbound': 5, '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': '5376.2.a.bf', 'level': 5376, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '2688.2.c.c', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+(2+\\beta )q^{5}-q^{7}+q^{9}+\\beta q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5376.2.a', 'trace_display': [0, 2, 4, -2], 'trace_hash': 1041859152403422289, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.995', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.174', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.653', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.050', 'prec': 17}, {'__RealLiteral__': 0, 'data': '65.030', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.043', 'prec': 17}, 'traces': [2, 0, 2, 0, 4, 0, -2, 0, 2, 0, 0, 0, 4, 0, 4, 0, 4, 0, -4, 0, -2, 0, 0, 0, 2, 0, 2, 0, 4, 0, 4, 0, 0, 0, -4, 0, 4, 0, 4, 0, 12, 0, -8, 0, 4, 0, 8, 0, 2, 0, 4, 0, 12, 0, 4, 0, -4, 0, 0, 0, 4, 0, -2, 0, 8, 0, 0, 0, 0, 0, 0, 0, 12, 0, 2, 0, 0, 0, 8, 0, 2, 0, 0, 0, 4, 0, 4, 0, -12, 0, -4, 0, 4, 0, -16, 0, -4, 0, 0, 0, 12, 0, 28, 0, -4, 0, 0, 0, 24, 0, 4, 0, -4, 0, -12, 0, 4, 0, -4, 0, -18, 0, 12, 0, 0, 0, 0, 0, -8, 0, 8, 0, 4, 0, 4, 0, 20, 0, -8, 0, 8, 0, 0, 0, 0, 0, 2, 0, 12, 0, -8, 0, 4, 0, 16, 0, -4, 0, 12, 0, 0, 0, 0, 0, 4, 0, -8, 0, -18, 0, -4, 0, 28, 0, -2, 0, 0, 0, 32, 0, 28, 0, 4, 0, -8, 0, -4, 0, -2, 0, -32, 0, -8, 0, 8, 0, 12, 0, 0, 0, 0, 0, -4, 0, 36, 0, 0, 0, -8, 0, -16, 0, 0, 0, 0, 0, -4, 0, 12, 0, 8, 0, 16, 0, 2, 0, -16, 0, 20, 0, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [1, 0], [0, 0], [2, 1], [0, 0], [-1, 0], [0, 0], [1, 0], [0, 0], [0, 1], [0, 0], [2, 0], [0, 0], [2, 1], [0, 0], [2, -1], [0, 0], [-2, -2], [0, 0], [-1, 0], [0, 0], [0, -3], [0, 0], [1, 4], [0, 0], [1, 0], [0, 0], [2, -2], [0, 0], [2, 2], [0, 0], [0, 1], [0, 0], [-2, -1], [0, 0], [2, -4], [0, 0], [2, 0], [0, 0], [6, 3], [0, 0], [-4, 4], [0, 0], [2, 1], [0, 0], [4, 2], [0, 0], [1, 0], [0, 0], [2, -1], [0, 0], [6, 4], [0, 0], [2, 2], [0, 0], [-2, -2], [0, 0], [0, 6], [0, 0], [2, 2], [0, 0], [-1, 0], [0, 0], [4, 2], [0, 0], [0, -6], [0, 0], [0, -3], [0, 0], [0, 3], [0, 0], [6, 6], [0, 0], [1, 4], [0, 0], [0, -1], [0, 0], [4, -2], [0, 0], [1, 0], [0, 0], [0, -8], [0, 0], [2, 0], [0, 0], [2, -2], [0, 0], [-6, -7], [0, 0], [-2, 0], [0, 0], [2, 2], [0, 0], [-8, -6], [0, 0], [-2, -10], [0, 0], [0, 1], [0, 0]], 'ap': [[0, 0], [1, 0], [2, 1], [-1, 0], [0, 1], [2, 0], [2, -1], [-2, -2], [0, -3], [2, -2], [2, 2], [2, -4], [6, 3], [-4, 4], [4, 2], [6, 4], [0, 6], [2, 2], [0, 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-2], [-40, 32], [16, -35], [-34, -22], [6, 38], [-46, 2], [-24, -24], [2, -17], [12, -36], [-6, 44], [2, 22], [-40, 2], [6, -42], [-24, 27], [14, 14], [40, -24], [-22, 22], [-14, 46], [12, 38], [8, -14], [4, -26], [64, -4], [-54, 9], [-10, 2], [2, -26], [76, 8], [-26, 34], [42, 13], [0, 24], [46, -22], [0, 45], [14, 8], [-36, -24], [40, -28], [14, 29], [46, 18], [-56, -16], [2, -8], [-32, 28], [-20, -24], [-42, -19], [-24, 52], [0, -12], [30, -32], [64, -1], [20, 0], [-34, 23], [8, -19], [48, -17], [12, 60], [8, 32], [42, -27], [20, -14], [-28, -48], [24, -31], [50, -2], [48, 1], [54, 24], [-38, -42], [-22, -48], [12, 4], [48, 15], [-30, -36], [-66, 5], [-10, -26], [-18, -35], [-66, -16], [-8, 0], [42, -8], [4, 40], [4, -52], [-52, 16], [-6, -36], [84, 6], [24, -38], [20, -36], [18, -31], [64, 11], [18, 30], [24, -21], [-6, 36], [-48, -12], [-18, 13], [4, 38], [2, -22], [14, 26], [-18, 28], [16, -34], [-42, 19], [58, -7], [8, 24], [46, 32], [-18, -40], [-4, -8], [20, 10], [22, -28], [-6, 58], [-24, 3], [12, -24], [76, 4], [42, 29], [0, -15], [-10, 6], [-34, 41], [72, 6], [78, -6], [-22, -26], [48, -17], [-60, -20], [-18, 12], [-30, 43], [24, 9], [66, -6], [-44, 8], [-12, -18]], 'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 139611588482045184, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '5376.2.a.bf', 'level': 5376, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'AL_dims': [[[[2, -1], [3, -1], [7, -1]], 16, 6], [[[2, -1], [3, 1], [7, -1]], 12, 5], [[[2, -1], [3, -1], [7, 1]], 10, 5], [[[2, 1], [3, -1], [7, -1]], 8, 5], [[[2, 1], [3, -1], [7, 1]], 14, 6], [[[2, -1], [3, 1], [7, 1]], 14, 6], [[[2, 1], [3, 1], [7, -1]], 12, 6], [[[2, 1], [3, 1], [7, 1]], 10, 5]], 'ALdims': [10, 12, 14, 8, 14, 12, 10, 16], 'Nk2': 21504, 'analytic_conductor': 42.92757612664033, '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': [5376, 1, [2815, 5125, 1793, 4609], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 977, 'dim': 96, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 19, 29], 'hecke_orbit_code': 33559808, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '5376.2.a', 'level': 5376, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 1072, 'mf_new_dim': 96, 'num_forms': 44, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 2048, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1255753
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '5376.2.a.bf', 'source_level': 5376, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '2688.2.c.c', 'target_level': 2688, 'twist_class_label': '2688.2.c.c', 'twist_class_level': 2688, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1255754
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '5376.2.a.bf', 'source_level': 5376, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '2688.2.c.f', 'target_level': 2688, 'twist_class_label': '2688.2.c.c', 'twist_class_level': 2688, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1255755
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '5376.2.a.bf', 'source_level': 5376, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '5376.2.a.m', 'target_level': 5376, 'twist_class_label': '2688.2.c.c', 'twist_class_level': 2688, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1255756
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '5376.2.a.bf', 'source_level': 5376, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '5376.2.a.v', 'target_level': 5376, 'twist_class_label': '2688.2.c.c', 'twist_class_level': 2688, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1255757
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '5376.2.a.bf', 'source_level': 5376, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '5376.2.a.w', 'target_level': 5376, 'twist_class_label': '2688.2.c.c', 'twist_class_level': 2688, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1255758
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '5376.2.a.bf', 'source_level': 5376, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '5376.2.a.bf', 'target_level': 5376, 'twist_class_label': '2688.2.c.c', 'twist_class_level': 2688, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3836700
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 139611588482045184, 'p': 2}
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id: 3836701
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 139611588482045184, 'p': 3}
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id: 3836702
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 5}
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id: 3836703
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 139611588482045184, 'p': 7}
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id: 3836704
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 11}
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id: 3836705
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 139611588482045184, 'p': 13}
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id: 3836706
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 17}
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id: 3836707
{'charpoly_factorization': [[[-4, 4, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 19}
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id: 3836708
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 23}
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id: 3836709
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 29}
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id: 3836710
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 31}
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id: 3836711
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 37}
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id: 3836712
{'charpoly_factorization': [[[18, -12, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 41}
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id: 3836713
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 43}
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id: 3836714
{'charpoly_factorization': [[[8, -8, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 47}
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id: 3836715
{'charpoly_factorization': [[[4, -12, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 53}
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id: 3836716
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 59}
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id: 3836717
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 61}
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id: 3836718
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 67}
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id: 3836719
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 71}
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id: 3836720
{'charpoly_factorization': [[[-36, -12, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 73}
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id: 3836721
{'charpoly_factorization': [[[8, -8, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 79}
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id: 3836722
{'charpoly_factorization': [[[-128, 0, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 83}
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id: 3836723
{'charpoly_factorization': [[[-62, 12, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 89}
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id: 3836724
{'charpoly_factorization': [[[-196, 4, 1], 1]], 'hecke_orbit_code': 139611588482045184, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 32, 'label': '5376.2.a.bf', 'level': 5376, 'portrait': 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xmHHr4WCGvYPGvYNJOy0g/ojwWTxGN1JNg2Y1juGU6cVzQ8n23zsGtzxNaFCVsWQrYthOzaatmzTXHVbo+manP0RJevP+3z6PMJTx6PSdWA73hFj7e+zNJUCzx/fJajZzSnL6Scy8B9aMly8zWL/Nw7V9m9aYYzF2Y5v9pgueex0pOsDlL6o5RxKDh0fImjp9eueurI0iufO7l80fMnl75w2+vfHt37hT/5ZkPiL3X7lmbw5ZUeSWKRkl9+5MnDL/v5d39KftuNh1/2T/72Kb3S38zaoM1Kr8Fyz2e5p1nuCVZ6KSu9mOW1lHNrcHhZsHnTGv/2+5d5yb4WJ8/Pc+ZCmzNLmvPLlnNLCacWUy4MEmbnJ7z8uiG3Xgm+bBKogPMrDc4uac6tCEYhJImh4RvajZS5mQQDHD+X0B/C3q0e7WaItQKEz3Bs2LMtZHlNg3VSZG0IYQIWy0ovYucWj8FYIZRFmJBuw2PP9glrI8HxM5rUaBa6kk5DEHiQJIJRKDm3Ijm7bDm/mhAEE/ASXnr1kJddI9jcbbK82uXk+YAzS3B+KeH8SsLpFTi8bLnp6iV+8ftX2Tbb5cS5ec4tN1lc9VnqSVbWUlb7MSv9lNWBYXkoODsQLK2N+LV/EiV/5xVzX+tu+wHTnt33NYH9GSsUfvCtmx39lmXwD/7Rx7jtlhv55//iX/zShz72lf/9A3/6pcueO7F60XOnRvKV161x6Y6UtKKrrZVgJSABgRAWLSy+hDPLTR48JLnu0hWu3D2h1QBPS3xP4fuadlPS8iSjoceBYw3ufNTn+IWQfhJz4GTI1oUV3vzyVa67bMBNV/Y4tpSwNBK0gglHzlh6/TbXXiJZm6TsP6botDTPHIfLd1gmUcok9dE6Zq4Dz50MUDrFkwnag3EoecmVI8YjyXWXpfTHKcfPdLh4m6LdilgLLVtmR6wO+/zJV+DxoylPHp2wd8cy11/RZ24+4k0vHfDdr7Jcuq1DGs9y9PQMh095nDxnOHUh5tSFlMMXBCfWYl60b5F/+/0Dts7OcvLcPOeXWyyu+Sz3JKu9lN4gZm2Ysja0rA4F50eK5X7CTVcs8eNvXpS+FBctnjt+cRxPbgk6FzebrfkvPXjfn/Ge9/7RNxsyG96+JRn8Pe/7KHOzW9XS8vH/4/jJ8//6oSeOqcW1iLVQcWoIV+8+z//14xe44dIW55fnWO61WOk1WOl5rPQ1qwNY7aWs9hNWBglLPTi5KtDNCbdds8L3vCri4i1t1oZdLqw0WVzxWeoJVnpOIqwODP2xoR9aRpOEhW7Mnq0GEASe5dQFDyED9m5RXLzDsmPLiPOrIU8c7PDiyy2t5ipPH5qn046IIo+FOcN4AlftmfChr8xyxe6EMLRsmpHE6ZhOI+CZYxOaXpsb9iU8eSTi/LLPzoWAi7fDnm0RSsWcWgLfswhh2bs1Ya4jGYwDhiOP/shjpa9YWYPlnmGll7LUSznXg+VJyp6dQ77n1UvcdqWm4XU5u9RlabXB0ppmpS9Y7RnWBjGrAwfu5SGcGyjOryW85Irz/MqPLXPZjg5LazP0Bj6jsINoXJ622lt/ad++nb946tRi+qKXfNc3Gzrrbt9SAD/w/AGazUbz9KlTe+69/6l3HD525t8dPX6G1EhGEfTGjlHO9BNefMl5fu3Hl7n+kiYXVudYXmux2m+w0vdY7WtW+9AbGNYGCauDhJW+5XxPcGZoQQx56yt6vOklhku2N4iiFqu9BmtDn95AsToUDEaCSWiJEkuagpKWwINmYJntWrbMx2hvwuGzEU8dCjBJmzfeEqG9NR7ZP8NF2+FzDya84tqAC70xDa1I0pj5OUhiD+0lLC+3ePmNfT53f4eLt8PDB0M8WrzhJYZEjHnqcMrRUw209Nk6p5lrC5qBwPcFSkBiIIotkwgGI8va0DAYGdZGhuWhZZym7N014k239njryyIwHZbXZriw0nR6u69Z7cHaIKU3TFjLwL0ygrN9xWI/5aZ953nXj1/gqr1NFlfmWBu06A99BmOP8cTSndtB0Nr+bzrzV//pzp07T4ThZHz55Vd8s6FU3L5lAH7m1PNs3bLZP/D8oR/c/9yhd997/2NicXko4wQmkWE0sQwmsDYRXBgpzg5iXnLZBX71R5a58bIGS2uzLK+1We0HrA18VgeatYGgN7D0hilrg4Te0LA6tFwYCM72DHOzI77tpgEvvTJh71ZFt+nRHzQIPAkookRijMBYGE0AYZjrTDh42mJsxB0PtwlHTS7b6XPbdSNis8bdj85yw+UeB88N6a12ufW6EV96JGDrvGX/ccv/+pY++48FbJ2X3Pmo4rarFCujPkdOznPDvoi7nxqThC1eerXPpbsnjJMhX3xEQSo4fErTbWm0gNFYYqwgNZY4AaRB+4be0NLuxOzeHvKyq0Z824sTFtoNzq/MsLzWZLXvjs1qX9AbQm+Q0Bsm9IYpvZFlZSQ5NxAsDRJuuWKRX/qRRa6/uMHi6gxrwxb9YUB/5DGaaMahZBIKwqRpduy5xu7Ze+lPXHTxZe9fXl6KrrvmWwPk3xIAT5JYpvHozYee+dRli6viXV//+qPeSl8wHBvGYcp4YlyCJjQMxoLeWHBhLDnTS3jpVRf45R9Z5MWX+qz1Z1hc7dAbNlgb+KwNNb2BojeCwdDSHyX0hynDsaE3siwOBYtDiNOQ6y8fs20+ZTiyfPutIRdtMySpREtLFMNdTzQ4caHB9rmEpw83wLS4cpfixisMQWPEIwdHLC61ueaiNt3ZVe5/0uPmyxssj9ZYXe2ybZvlwf2Kv/faIQ/t1+za4rE07LG6Ms+NV424/+mU+eYs11w25EKvx4PPztLUbW66wrJvzwTkkCeOCrbMx5xfjLn7CY9JrJASUmO5aHvEt90aMRgqdswZbrwcoqjFSq/FSi9gbejRHyl6Q0l/CP1RSn+YMhil9EeGtZFlZSw53Rf0xiG37VvkF394lZsudxdHb9CkPwoYjDwGY81oohhOJKOxoDdIWVoLue76m+NxrP/VD/397zzU7TQ/7fue+WZj65ueyZxMRoTh5PuPHnrs18+cPDx/fnGNVlORGIkQLl0tRYKQBoRA4DSolBYpNQ89v5Wfea/mLbet8L2vXeHinRHnlrsEfpNm4NMKPNpNzaAp6Yw9Ztqa0SRlOE7ZGroLZzAJWFlscOqkJUoMp88lBIEFBL6yaCkYjRUCj2SkedFFgkt3WPbsHBGmAz7/kOK5Q3O8/sUBN161ygc+b/FFi4t2jnjyfsXOWcWm7oiGahLFHhcG0G5odm0VPP5cxI37mrzqhiV+/zNjfK/D626xeMGILz8Y8bkH2jx7tMklO1pctD1l81zExZtirr0oRSmDVhawtIKAzbMBUewxGPk8fdBjONGMxg6IwzEMJ5bhyH33wThlOLb0x5a1MSyOFOdXLa2ZHj/5xkX+zm0h11/S5uxSl96wwaAAtyrAPRwLRhPLKLTEieCr9z7kdWcWfv3+Bx5aeeXLXvLPRsPR77farf95AW6TPgjzwydP3PvLR569e3447CHwCDxLM7BYIwDllhmRIgVI4TpplLQomeJLyZMHN/PY820OnrnAW1425GVXT5jtdFnptWj3G3THPsORZpCd7PFEMwo1k9AyiQxRbIljS5K6e5T4WANSCTwtaPiC2Y5grgPbNhl2bR2xaa7HFx6Bex7zkGaG17/Y40VXDrjv2Zho0uW2Fwl64zEXltu8dJ9h0+yIpg6YJIrFfowyghft07Q6IY8eaPDKG2e49foBjx5QYGd48dU+P/QdK3zp8Yg7H2qz/0SDPZsV2+abzHVazHSgGYCnLUqCsbD/qCBNBXEiiBIIY9x3DFPGoWESGkYTwyg0DMfQD2FxKLkwgNBMuP2GFd78sh5/93WGJOlybqlNf9hgMPYZjj2GY8VwrBhNBMPQgXs8SZmEKUlqscZy7tw5/ugjn59f7qX/4Tvf9Eq90hu9d37mmwfybxrAR8M1JpH8od75L//y4skvbmnoEJo+YWRJfYsx1l0EQiCEQkiBkmTgBqUsWlk8ZWh6gqVRkw9/ZRdffqzPK65d4523r3HtxUMWZlssr7UYjANGYy8DtnL3SBDGkjgRJIlb6l3tlgsqtYaGD62mYb4Ts3PLiIQhB0/H/MndDY6cbDMbNLn5as1Lr+vz4PM97vh6l1sub7Bn+4gPfUWgREC3E7M2DDEWlIDN3RH9gY9Jmrz5FRf48OdaXHq+wZtuGRHFy9z91AJx2uAlV2/hTTf3uXx3jy8/OuLJky2eOOqza14y3xW0AoHvuYtQChDCYiwYY4mT7GKNLWHsLuRJBOMIBhPBaihYGYDQE264Yo13ftsar7g6ZaHbZLXfojdoMhgFDCeuUC1fCUahZDyBUX7hTFImkSGMLHEKxiqOnurxvj++c8sk5pe/7y0vs0vLq7+3aWHufw6Aj07/OkfOXsn545//gXAyftdg5clNadSj0fBBpCDALbpghQRAIpBCoqRGyhSlRLY8GzxlCbSlqQWrE8Vyb46P3NXmgaeH3Hb9Gu983Ro3XNpjIW2SJAGjSYPh2GMcaqJYESeSJJWkRmCsk0BSWALf0GokBH6E74WcXg75zMOSQ6d8jp6aQ5mAS7f7XHWx4sVX9lHBIk8d7rBztsU1l8C2zaus9Ltcu1OSGMsXHgoIR5LZdsIbXjLh03fHnDjX4YrLPM6uTXjmiMfurXNcf/Ei9z054P5nBGHkc+XF81y5O+DKXQMOn13h0Gl46LkWB4+0aWlBoCXtwNLwQEoXVFnrLtYkhSiBKHWM258I+jFEJsHYCTdd3ued39bnFdembJ8PmExmWO41GAwDhhOf0VgznDhJMg4F44lkHLq+0UmYMoncyjAODZPIXUhhDIlR9JbW+OiffXnL+XNn39Vut5MP/dEnP/DZx/t88Ff+/t9cgP/zd/0ezR0fY35g/66NTv/GoHd+VgM6kMgkQdg8TQNCkIFNIqXMQK1QSqCVQasUTwt8bfA9S+BZWn7KbEMwCD1W+3N87J4uX3liwta5Ee94dY8rd0+YjIdcc7Fl9zZFGHukaZnmF1ikNHg65fh5y9FzgrWx4VP3tTi9NIeNPOYaih0Lmr3bNJfshGsu7WPkEu/5dJuVlRluuVJzzaU9vvyEQCQeW+Yk7VbCKPaRWTJKaZ/eRHB+RXC1bfHqFw/42qNNdmzyueWaef7Bdyzx/s8NeOhAm+HEY3mtw8U7mlyxfcRL9g34rlcOOLOywqfuC1geBRw/63H6tI+nBFJKBAJjLamB2FjSxDC3EHPd1SPCMObK3SFve3XIlhnFfCcgjhucXWwwGvuMQrfKjQtgSwfuUDAJnaM1CVMmoXFJrMg6cEfOrpwkgkkMCZojp3sc/PiDm3bt2fkbN1y7Pf7gr1zxR+eP/DpbL/lnf/MA/q/f9WH+wev+lvjBnxVv39x85ne/+9bHWlftaTAYN4hijyjWTl9Li5DZo3AugZSgMpBrJdFKoLXA0ym+FvieoeFZmrGlFVlmGilzTcEokgyiNkdPtfnVP5oHkyCShBdfN+LibRFJAsYarHVJHCkEUgm053PghM/+Qw3aDU3Hl2xqCTYvSLbMa3ZsVuzdnnLF3jVSscx//kSX4ydmuWWfx5UXpYyTAV9/KmC26bEwY5ntRLSaTgoZI+lNFCtDy3IvpTds8vJr1nh4/4jnTihmuw1ecvUsP/LmZf7LJ+HRQ22GY8vaQHN+pcu2TS22zE3YuzDhX7x9RLfV48mjcOCkxPMsSlmEMIB1/7OQJHDRtpTbrk1IY484CbC2xSTyOLfkMw7dijaJVCHfxpFgEgomkWNtB+CUMDSEkWESm+y97B7DJHbgHieCUSIYJpLhKKXVeXL2jS86/bu/cnoxOb/2zz9y9vlZu33fD/3NAfj/89t/xNUXd9UH7/z4W8+fvvCBD3xtpfHkcy1+9Ud77NsdMRg1mEwCtDIoZZDKoKSXBZIWpVSmtyWedprT9xShJwkjQxClhLGlGRvC2BBFlm4CYWwIE4gSwSSWhGlAnDZ47lCbJ56D1FoctJ029iT4ytV8dAK4Zjt0mzDTlsx1FAuzmi3zsGdbyPbNa8R2hf/8iRkOH5nhxksUl+ySXLprla8+k3B+eYYXXyyZ6xoa/phABlglSFKJsJYkjVgdNji/7HHjlU1etG/AfY822DonaDU63LjP8JNvXeY3Pml45nSHtaFhbaBYXNVsmm0z120y152h24rZ3I7Ze2NE4CV4OkGpFCmyGAZ3UcWx4sKiJk4UcaKIYkUYZ4+RJIwlYSSZRJIwEi5AjQRhZAkjd1zDKCXKpMgkdu9PogqwY8EwFvQTwSCyRJOQF+1d4Zd++AKv3HeutXih84EwfZ85Pb7yE0888Kfpi259x19/gH/i43/IpjmtDh4797azZ879/qFDxxvdbosvPLQVXxl+8Ud6XLkrdidmkqJUipY+WlqU0ihp8ZTF0wpPW7xI4nvCnQRPEPqKKHZAj2NLlKTOFUkq9xSS1JKmhtTg9LahALcQoCRoCZ4HgRY0AkErkLRbipmWZG5GsGU+Ye+2EZ32Gp/4WsTdT82zttTluj2Kvds9Lt89IRVrfOGhFm1Ps3lO0WlNeOowPHtEc+1uyyhUXH95zHWXWs6dTVlc9RlPWrzx5gH3Pjnm4GlFuykJ/C7XXmL4xR9Y5q5nxnz6rk0s9y17t6Ss9jSzXcVM26PT8mg3LY3AEPiGQKdo5aSWdCEM1uISVkaQGEmSCpJEECeSKBHEsSSMnfMSxYIotkQRhHFKFBuiCnGEcfXuwD2OYRQLBrGkn8AoNJCMuHHPCj//w8u8/sWSpbUZFpdPNEI7+wehnPnRq25465HexN4308iuxL+uAD/WD+XR1eH3Lp44+1uPP3Om0fAU7UQwabb4869vI4oU3/3qHm9/7YD5bsJg1EDJFKVTtPbwdIqnNV6sCbRi4mVs40kiXxDFwp2cWBEnEMXSOQhJafslqSFNnbuQ2swpyQ6rECKTQE72+FoQ+JJGIGk3Bd2WZbZj2DofsnluQGLX+Mi9kvd/boEtjQbX7RHs2e5x0Q7D3u2rfOLrlpWVBlduU8x1odOKOX9McmE1wL8YwliweUYyOwsHj1pW+4ZzSw0uv6jBa1884DP3NFjoQOD7KDnLtZcKfvRNF/DkBf78vjmePd1gaz9my2zCTFvRaSpaTUkz0AQ+BB5o7RwmZ6tWQI67sFMDaSpIUjKgQ5xaogTiOHWkEBui/DE2RDGESe7KZBZkIhxrJ4J+LBnEhmgSMxMM+J43LPG2Vw24/QbJ2qDNJPQBj8ngUKOP+ODy+Wef055/PRD/tQX4//PeT5JMzA/c+9hTv3bsyMlunPgANJWl40vWaPOFhyRffzrg3Ooy/+t3DZnrxjQCl3H0VIKnPTzt4UcpkafxY0UYSyLPpdId4wjHRBkrJQnEKaSpcxKMcQGXMTbv4czA7QDutL3A0w4gjQBaDUOnmTDbSdg8O2bT3Bpfey7iD+5ocuDoLBfNeFy6DXZt89m1Fa7Y02eU9Hlwf5em8tg8p5jtwGwnZG4mwfc1QriLaxz6rPRj1kaW3jDhwqrPnm0dbr3yAnc8NOLA6S6tIMZTPkLMcOlOxd9/3RI3XXGBP7ijw4NPz7I81GzpJsy2EloNSbOhCDxB4Ek8z8UqSpHZhw7lFtfDagwF0JPUZKtbZi0mhiR14E5iiBJb3mPnykwSRyqjRDCIBYMUxuMEk4xZaA74ie9e5p9/34im79PrdRiHDeLEQa3bNjB+nP7Js1s2bbvtnScOfPT9e654218/gPd6PZSSP/xb7/v4Lx89eG4hjn20Bgw0tKVrDRbBoNukN1H82p/67D+8yptfOeTVNwzYuimkP2gyCQN8LyHwPcJIE8TO3ot8B/A4lkSJW3bjJPO0UzLrj4y5JcZSgtslKTPmBq1cwsT3LA3f0GwkdBoJc92Q7Zv6nO+NePenPL7w8Dwrq20u2yzYs0Wwc4vPri2Ci3dM0P4aH75bc+Rkm31bJXMdyUw7RcqQ04uWQEukAGsFUazZu6XPQ6T0R4rVvuX8SpN9uxp816t7fPTLPsfOB3g6RggPY9vEieTFF6+y9/v6fOHRER/6wjyPHGuzc06wqZ3SbqQ0fEHgCXzPxSpa4QJnKYqaDIu7yIzFOS2pA3wO8iR1ks6BHaLU1bpEefIoEYwTGCSSYQLjyJCMInZt6vOqG1f5zleOeONNBk2LldUmYRwwiXyiRJMal4jqNJqM+4OFZT9+1xUv+ttqOBi8t93p/PUB+PnlPqnw/sG999zzywef279lU9sQxsIduFSQ6wMpQAtBXwT0I82Hvxpw15MDbryyz/fd7qrgFmYDxpOAcegTeB5R4hyXPFBKEkWcSpJEEqeCJJGkqXAHM9faRhTeOtYxtxQuWaSyZJHvGQI/pRkkdJohm2aHjOMxX37K8idfneHBp2eZ8z2u3WnZPi/ZuuCzY7Nk19aIS3au8uSxMZ+6dzMzSrN5RtBtC7qtmN4o5XNfb9DxLUI4YI1DzZtvC/nsA64mpjc0XFjV7NrS4S0vG/LgcwP2H/RpBwlKCgdy02ISOa3/91/bY9/2C3z4rj73PzvLidUm27qCmYal5Rsa2uB7oFWWHJM5k0NefmQyqWZMucIlGdAdQbhzFacZsFPBJHdHUlzME0W0myO+5/UrfO/r+rx4X8rWOY/RpE1vGBBGPlHsEWYuWRy7cxUnktFEMVk6uCUW9//yTS+51YST1fcFjblvbYAvLq2xuDJEWPv9H/rk3f/xK1/60kI6WsP3JGAzxiy1oQO4xReCgdKMvDan+gFnHmjxwFNDPnrdgLe9dswbbpswP+sThQFh4hHFHnGiiTOgJ6kiSbOETVoC3NiMuU1ZUyaEzYJKV8ehtcH3UgI/phlEdJpjUsZ86VHJH31llqePziDigIvmLNtnLZtmFZvnfbZtkuzYHLNnW5+TiwN++9NtkrDJrl2C2Y6m24ZuK0Z4Ef1xm9mORQiBtRAnkvlAkZiEQewzGKWs9hWnF5tcfUmHH/vba7zrjwOOL7bRKs4uDE2SNJhEkm0LAS++rM91lwx55vhp/uSrTe54ZJYzvSbtQNHxoe1ZfG3xFC5gl3luobwZwBp30aVGkFpIUuH881QQpS5JNE4F4xTGiSVJEkwcstAY88bb13jH7QNecW3MTNMjitus9gLC2CeOPcJYZ8DWRIlbcZNEZsk1RTRZYfHEF7as7Br+x9ktr0omw+MfFGqWoDH7rQnwwWjMlk3t7/z8lx76L5/6szu6Sdij21RIAZ7numxyJsnBrjP3wk8NDSUYKZ9RorkQNvjzB9rc/fSIl9w55B9/94Cr9vTZMqvotjRR7BMlHklSgjzNAW4kxkqsJev2ycGdpfqVdckinRD4CZ6K6I9jFvsx/+kTDY5emOPR/bNY47PQFGzZZNk0I1joKhZmPbYuSLYtJOzcPGJhdpUvPGZ45NlZrtslmOtIOi1Jt2VoNyOEFxIEGq3c37cW0lQyDjXjSUxiBIOxYTC0rPQ9zi13eekVQ269eo0P39mguaLQ0sVhxmqS1CeKXY/nptkGN1065KbLhjz0qjMcX5T8wR2zXFhrcWo5wFeStifwcxmWkUtB5LlUwTF5YgWJgdgIwhQmCUTGQppAEiNVyI65Mdftdefj5qtSuk1NkrTpDTJgJzojIEUUlbZkXAA7zwdA4EvSuM/BZ76ysGdf878sbL91NYlGn/qrxORfGcCfefYAF+3epn7zPR+67NEnD3SJ1ug2NSpripPG6UGVAbsEt3Aed2IJUkFLCcZaMNIB49RjOWpyxyMzfO3ZMe0g5H/59h67FhIu2jHmpdcM0MK1iAnh5IrLSrpaaWsrzI1LICnhPHNLAjLhmaOSh5/TfObBDs+c6BAlLTpasblpmW9b5lrW+eBdzfyMZmFWsG0+YcfmMds3r3L30yHv+cwWts9qNneh21Z024JOK6EZhHztecUk0nhtByprBVEiaWjFDfvGPPDUrCt8Gqes9T2W1gLOL83xY286z6mlZR54fDOeBESMAZIMQGEkGY41c50Gs902t+4b8arrRnzfaxZ57qThsw82ePC5Js8faZMITRgqRrFCCYkQYirwzHIC1pAYizUGT6TM+BENYm69ccjF2yfs2hTzzjeENH1Ju+kRRS16AydDkkRlhKNKrz1RxHEOapmtsk6Hm+zcjMOAU2dCVgdf6y5sWbrslld+jzpz6lC6Y9dl3zoAf/bZZ9m5Y7P/wAMP/aCW6a9FoxU2zXk5SZRBjbEkEpQSyCTTwKlFJeBJgW8sQWJppIKWzlgk9RinHqO0wWCQ8h8/PIdNYrZunnD1ngkLMwlve+2YPVsi4lhkeltChbkpVg2DkIKP3dXkycNthNYcP9Pi9PkWjaZiJhDMti3dhqHbgE5TMNNSdDuKuY5mYRY2zSZsXZiwc0uf1K7xsXu7jIdtLt9l6bYUnZak0zR0GgmeF/GFBxqEI4m3xZUh5BKl3VS88SVj7nnMMAwlw3FKf6RZG2jOLbe46uIOb3tFn0efaXF8pYOSBogzvewRp85NmkSS4UTTG/p0mi3azZCrdk245YoJJy/0OHZ2De2lPHFE89GvthBKOXBndT7FzRrAgLXEUcrerQnveO2YTd2UK/Zati5AmniEUYck8VjteySxIk7LFTSOs8dEZTFRXsjmnjtrsoyN3PkRWNtgpd9HNc2vPfP0I6OFLRe///nnn4v27bvyWwPg586dore2tO/4iZPvfvKJR2SnpUhTV/BjClvKkhqBki6gUdK6LyudToxTi5dCogRBamkY9/PIWKJUEBpJmEoi4xEbWBx2+eqTBkvKnz3oRjZgTXbPs3iZRZZXJAqJVIok1kij8bSkE8DFmy1tz9AKDK0AWoGg3ZR0mk4OzXQkc11YmEnYPBeyY/OAlFX+08cb3PfUFi5dgLlWxt4tSaeZ0GpGtFtjms0WgZIomWlwnByIY4/JWDAOUwahYjgxDMbGtcy1fU6dn+HlV4f85NvP8+sf1ZxYCxDCYG2MSS1x4hHFkknoylg7Y0274dNqNmgFLRpBTKcZ8eLLI3wv5ubLE955+witkiwJZBDC1kV5JulMVosfeArwmYSa5VXt6nbSPObJ7pmeTrJAP8llSJonlLLHCrgdNkoDwGl+ePDBR+RVI/nuLauje6MwfPqvApv/3QC/76ufZGZGNY8dP/jWk0cPi7mul2XH3HKXpsZ5rqklNZZUCdLUohToNPdiQWfRe5pH9KkgMbaM7I3Th+4uiIwksZLUaGITkGa2V/VWZCkzt0ZL8BQ0mpaGtjRUSuBBoKHhW5qBoOlLWk1Jq6EdwNuC2Y5hvpuwMBuyZX7Iji3LvOczhg/dsZXds4pNHUO3rei0FO0WtJopnWbM2WXD4bMBDd9d0JBX+gkmkebibYZtmyb0Jz7jic1YXLI20HSaDTqtWd55+wWOnD3H735qJ1pqLIbUpCTGEieaMFKMI1cUNWpIWhNNM/BoBim9gYsxfC91CTMvRUvXKCGlS+eL7O5KVwSOUd1K2DNZlaVxcU2aSoyRJKaMdxxw8wBfkKaZm5WWGdPUiEKaJJl1mxsBSerOaZzAeGy5/4HHxEUX99+6Z+9Fh//wjz86fuf3/fd55P/dAJ+fEf5odO6nx4NzP63lWHbaikkIsRZZTbIkSY1j8MxrTRVoI4pEjFbZl86TD/nvGip3W6bZs0o55+WKIlCqam6g0iABWhqn+ZVbMTwl8LR1vrEWNAJJw5c0A0Wzoeg0JZ2WZaadMttJmO+GbJobsWfrMg8+H/Lhu3Yw1wjY2jF0W8KBuylpNwztRkKnFfLgAXjiuRaXbbaZ7i3T5uNQcfMVlsv3jHno6VlGoWseGI51BnKPVqNJszHL97xyhSeev8AD+7eBVRiTunLYxJLEtqgnGYea1sTSbCgaviHwPQI/JdAGrVM8bYp6H5UVtElhQVgEpZ4rg3OnlU3uSJncfq1Ysbn0KEAsK0CuAtsxd5Kxd/48yTz3OLFMQstwPJL2+Nn/A9Xy263OLwHRNw3gaTyUSTz+hce//oF/Fo1O+40gwFqLQKCkSzCo1KIT1xybSEOqyuRCqiw6Z3bjfqdcvvLsI46dTV3y5LreWksl815bcQs7MkvoKJllLBWVoi2X/Qt8RSNQNANBqynoNC3dVspMO2G2E7IwM2bH5lUeODDmF35/KydOzXLJJsNsC7pNRbupaDeg3UhpNmJ8b0JvYlFS4SmLlOUnc8wliROfbjNmlBhGWZ31aJIyGEl6TUVrENAIOly0LeYXf7DHz39A8vX9W7EojDWkqSFJE6LEEMWKSaQYB5JmqGj4ksC3BL4i0AbPc36/VtYBXDmAq0ymCGHrDbpZat9mJGKzWpY0A3xqykd3zmRRAlAAPEvs5Oc0SUsiS9LSc48TQ5wVc8WJ5flDp/zYtv/Vv/qn3+71BqN/M9Np/Tf3dv43A9ymK1g7+aW1c5//3+LR4UarqUmMwaSy0L5SQpwIUiVIUotKHYhNAeoc7CXIq8A2hUcL1ljXRZ6VgFbvTAE8k92lHSkcuJVyq4XOWtE8LQl8NwCoEbiRDM3A0m4YOq2UbitmphMx3x2zY/MaDzw34uffv4kDJ+bZO+8clk5T0m5Jx95NS6uR0mrExGnEH97ZQSqFJy1KlDahsfkS7vH3X7/KFx+JGEQBowzgw7FiMFT0Ak3DDwi8LlfsTvh3P7TMz71fcP/TWzFWkhqXVncAyar+Gq7cNQgEDU8Q+C6z6WtbZGy1Mkhlsw4pl58oAF6mPIGMRHC5BOe2ZIF8DuBs6oApkmu5/KBYcYvVufLoZKdxq1CS17u4WpfESB59+ljj9/707n/6D773dnFmsf8zOzZ3/78F+NnTB8CaW9fO3teMogTQLnHigW/zZgUH8iR1AEuVqIM6tRhFAXYzFZTmzosDunB1FDmo8wM/9blygOc1GKqoJxdFHbkDuMTzpKvf8AWNwM08aQUp7aYDd7cdMdsds3m2x4PPjfiF983zzPFN7JoTLLQr0qShaTdc/UqzkdAMIjwv5PTyHJ4SKGkyW64MMtNUkiSK7XOWJInpx42sU8YwnqQMJpLmSNHwPXyvgadnuHJXwr/7B4v87O/BA89uITVO/sWpJU7SjMkNYWBoRJKJrwoJ5nngaSfRXJ2Ks2ll7o1njxtg3MkVsqQQokgOmSw5VASLaeX9qrwsgF3WBKVZDUySOqnlqj4NqXFyLo5DPveVB5qvvGXvrdXV7/8TgN/11TtZ7QWtT3/ms/62WZ+ZtqszEAK0MljtbCjX/e5AlhY6W5DKjKk1BdjrwM5liC2AbnM5kj9/gc8mRVlE5ZolRAFuJWXWKJHLE2h4EPiGZsPSDJx+bjVjuq2I2faYTXM9Hjk44efeO8dTxzezY1axuW2YaQo6DUmroWg1Bc2Guzhcqj/igf2C4cSnocguMnd88iaE1AjiRNNuKF56zYAHn+kyip1MGYcpo7FiECgCX+F7fqafZ7lqt+FXfuQCP/U7cP/+LcRGEhuTNUuXPZihLwl849jbK+votcrvZDKllHEyy/JuBPI8KWRzgGeATwvnpSzgqq68JnfTzAardlpWfMapk6fWus8y31HMdYc889AX/JtueWPri1/84ugNb3jD/3iAnz59gi1bd87e9eVP/Xa3mb5yEip8T2QHybECmiJrmetfB+zsStb5kgZGiY1ZuwJoUwC7bAom097FyRCuoEjIDNxZkZEqAO78d087JvM9XCeQnxVYBSnNTF50miEznTFznT6PHwr5uffO8cSxLWyb1WxuGWaa0G4I2k1Fq6loFeyd0ggSOq0Jdz/hs9ZrMDdXpslzwJhMm8apYsuC4vYXDbn7YeO6aCJTAbmk4UkansbTPlo3kdJw1W7LL//IBX7qdyz3H9hCbDRxVgHoyl4dkwexLKoLfS3ROivCkgKl82ND8fnyizCXKiKvSqPMZ0zfTeXRmMpjsfJWVmtbBXjprOUgz1cAKVyztxSGE2fGr9x8/Ojvvf273/Ljx48fX9u7d+//WICHo9OcPXnhp6LB0e8N1AUCX2cHyCKsAGUzBjVF5jKR2dWtSl1mVFVnZ2DPkjM5e9cCyWnmzpCeZ+QK7S0ppFGuu/OKQa1w9Rna4nmusbjhGxp+SrOR0GrEtBshndaE+Zkejz4f8tO/s4nHj2xly6zHllbKTMtm4M7YuyFpBo79G0FCK4hITMggChBK4uUMXmhwkbFbVpcRe7T9iSsXiBrM5SCfpIx8x+CBL11NvM43oLVce5HlXT9+nn/5W4b7n9tKbDRhKohSk7G4oBEbAs/ie653VWdxh1auRNi1Abrj5GSKqKyA7qgWF2Y11pkCd0FCFWKqgjsHe8nkZYFXDvi0+Hn27xqYhHDg8HmEOvS9O3Y9fjiO45/9H8rg1h4Edu09/OR7rmt7R9gybzAmya5up5GlEFlaHlKZJXeUyALLTJvZCrizIMXmwaQtA7GSKcqspK2umTlrV4PKfLnNalxUFkxpnXUGZUVIefVgw0sz3RzTbITMdUfMtAc8sD/hZ96ziceObGXzjGZzM2WmYelk4G42nJ2Yg7sZpDT8hG47Yv8xy12PtvGlxFMmC+JKHZkv33GqSIzm1S+OueySIYdPNNncouxzDFNGk4yFtULrso1PCMs1e+FXfnSJn/0dw73PbGYSN10yLLG0shruwMOBXOerl8kkikSqtFjhlBQVgIsKyFmnV0qQ2zrAbSkr8/c2iqfS7HXB5La0hHN9b3FzF+NU8MBTZ+ilD133s//yR/fe9/ip4y+/YddfPcDvefwUX3ps4aIdjbv+75Y9/p2zrSWE7RDGmelfaYuSJpMHGaBNnuCZckeqj6UdlS3j0y7JOrckY+5pcAuLVNRrXlTG2tria4PnGQLPEPgJDT+hEUS0GiHzMyNWByPueRp+5Y+28eShTWzKwD3btHSagnZDFF65c16MY2/fAbwZhERpymTcoKHcRSZFZekn16wiCzS10/I6JIws41hUAG7w/RTf03ieRCtV9KrmWcjrLxb8yo+v8h//OOH+5xY40+syaUtmU0snsTSyiQOBZzPvP3dSbMHeuVTJAV583uxDV3FeKMTspJQra6X8tgr2ynv5eXZypdKIYqva3RZklxoIY8nZ3oRgYfE79z97R3r7bdf/U2ufPybEvr9agO9//iSItVuOTPa/9UVbn2BTZwuTKMVSMnVqsuRAUa4qioi69FApbCaXpLH157au9+qsXVeF+UkQVIOlsiy3HA7kymI9bbIxE2kB7sDPwD0/ZHF1zC//YYtPfX0zS8M5Ns9INjcycDec7m5lgWUzkLQCmzG4096NIAIivvK4z2rssxBQq8dG1FeoNHXND91A89obRzxwIGIQB8wUHesGP3S16r52ANfKoqSHkC5Bg4Urd0t+/R/3+ewDY37pfVs5tTTHeFYz6ws6iaGVQBC70cu+cgONvDzQzAcqVR6rgXr1whSi6BUpWbw4VxWwV9wuU5GaJZNXtXpW6FUk7spgNTWuFn2Sap488CyDldZbYeYPo8Ho2F8pgw+HI1qt5uVf+PID/+TB+49z7aZ5wkS5oFIZByzjGNtYgZECZUpGL7zTHODVR1vKm6o0qbF2VZZkBzpnljzdnLsAKge4smjpgK2VA7enU3wvxfcSGn5M4Md0mmO0HnH3Eym/97kun7lvC5HpsqUr2NRwssRZgLlPrrK7yJi7yt4xWod87dlZRpFmeyv/PNMMnltpkjhRNDzFrVeNSYwD+DgWrms971wPjQsOtchY3F3IIkuuWwSbZgXf+5ohneAM7/vcmHueXeBc3GTUkHQTS1tbB3KdxSHKZnGJzUCeH0NR1o5LN3QpP9bVHQWrp6Rg86mVtxpH5bq6xui2DvQawIu4DFqeJfBbPPnYCa679NZ/csmVr31sMh4fbDSb//0AP3/uFM8++VWarZkdYnz4VbvnIqJonlFWo6yUydLhEiNFITNMDvYaqEUlkBR1rU2ptUtgV6yHqn0l7JQ0ybNyrmLQjXYzWc13Bm7lajECL8b3YxpeRKs1wfdH/NEdml/94BYOL87jBQ22dQTzQUo3sLQDaGcd9s3AZTsbWULI1a+k2Urg5MlSP2UY+fhK4UtbBJhUvkp+YadZzUaUeDS9Cdtmx6yNOoxjkY1bc7GC56WZzacyu1Nlc2OqgaurfPzOVwy5+epFfuUPJnzoC5tZSdqMAo+2J+lqV4MTaPAVRTOEzpM+eUNKIVXKBFCVVOpiZSM2ZwOwU9HmU3dDhfFF/T2gG1havscjT45Y2PTcqy47mezo9XoHjx8/yd69u//7AG5tyr6rbrvozKkD7+ktP8emWbDWFd8oZVACkLbINNoKqOu1DHk2rAS5tWWAaamCu1LqWrkJbMkmsmJF5gCXFiWNW1kK5k4zkCf42kmSwA8JvDHHzif87mfbfPLeBY6cn6Pb8phvwFyQ0glslnrPwS0zcMsiKdTItHfguwun2w75xNc0B483aWQTuIp2MUqUF2McbFaclGiu3AvfcfOA3/v8AsOWppvNHgmiLG5QBq3zCV9UQO5VTpZbFfZskvzM3xtx3cWn+J3PzHPk3AwrSZORp2krQSsDui+tu3Ayl6lY/SoWrxDZtLG8r1NAXpZVY/J8pc1LJ2wJ0HW2oqkDPMdB/vu5Vs95TSn3Gfpj+PrDz3L1VVe+53Wvefm3r/X6f6FU+YYAT5MIqTzOHH9k13DlmUsDtUSnJfC9BCWNA1M+YEZVQVtKklotgxWFD5wX81TZu1juClbIadvWdGDZGWQLcMsM3M41ydk7xdOJ69zRCUEQ4uuQQRrx7o/4vO+z2zi9PItRTeZnFPO+ZcY3tDLmbhXpe5nVqWTSJPPOC3D7LnsZxhEHTwUMo4C5IHNx8qRT7krkWVhbqUmJNd225uJdESqYMIg6jH1BM3Yj0fxMXnmZRNG56yHUCwSvis0zI37sO0e89dXneN9n+/zuxxZYGrcZ6wYNrWhpQVO5+ns/6/ZRUmTZTbLV0G7M5NTlSgHujdicKXBXSK0EeB3stvLvSQFWWMIEpFAcP93jvgf3XypUsOvVr7jpWBzFeL7HC92+IcDj8Aye19ncbtmP2MnXvC3zmSuh00x7Z9E8VCSGKJ4XQMZ1tlcvAHe1uy9bMrbAbvhJbMUOtAWwa/JEZlVyKnUA1ylapfheTMOP8L2I3iTia09K/uiOLh+7d4FJ2sH3fRZ8waxvaPuWVmBp+SW4G4EkCCRBJk1cYihzJjKA+57LfB49a7nnkRZR7BG07boAM7+V6WxXihrFCs/T3H7zgA9/aciBU23GDTeaIfQsfgJebPAig1KyKGRzcxupHf/CYzeSVqDZOjvmX37PiKv2hHzojg4P759hcdxmonw8T9PQgqaEIB+wlNurMrN8K/2zogL0qrtSpfJpgjJTQDd2/WNVpuaVoVQALjOjIkndTPiPfeFx75Zbb/7I2cXei1bXhov/zQxu5RY56D19y2DxszPdZo800Jk8sAW4c0jaYvmtyJAKa9vsdf1CyIGe/fcVBq8V/rgeHcfkRUrZFOWeTndbtHKTsZRKCzmidUxvGHPf04Lf/3yXOx6dYaXXQTYbdJqKWc/S9Q0tz9LyLU2fjLUdczcDScNXNHxBwyer0DMZuA2B5/S30iHPn4LTvYZLrGT6tp44KetnXB9kVhNtJFGk2doVXL57zFMnEkaxR5jN+PYjHPhUPlk3T9SAnOrMyS+e3IaMU1cf/o7bx7zhJat8+bEBH/hCl4f3d1ketOhJn6Gv8ZXAl4JA4no4pdulTonyIlUiK/vdgMHX1a9MM3lOblS0OXWAF/2hlX8ol0gyKeuLJnHKb3747pkfe4e95dU3X/75/D/5rwa4TI4HWqa/FQ2PthtBhCDOdFG21ta+5Po6Ylu9V0BeXAgVrV2TJMU/WZUmlYuqkCWZTJLGTcOSKX7uZsiYxUHC3Y9oPndfh0/dM8OFfhvRaOB1PLoaZjzXydP0yGQHNH2R3WVWcprpbl8Q5OydA1wn+H5Cw4+wNuYrjwYcP9tk07zAk5m7lNtuU2xna+WminHosXer4PYbR3zy6xHD2GMcCxqexU8ci4exraxSqvCrEbImU/JtFYtGBeP89mYQ8o7XjPm2m5f5s3sHfPa+Fnc/2eFCr8VY+Ix9jfYUWgg8KfCkxBM2k1oWhahIw7p9OPX1ss9SXnT5o0XUtLaxkGbvpRWAV63h0ofP9b3i6QOn2pOI33rswPmrgPF/NcCX+4aBGf/dcOWu2a3zx7DGdUYbI0kLd6Pe2Lse1KIILC11oOdgdu9VbJLsEFWXQVEBtisBcJJEZADXOsXXMY1GzCRMOXAajp1R/MmdM3z+4S4XVtvgNdBdj5aSdDxLRxuanqXpQcNz4G54biahKzOVlbvIfm4zkJsC5L7n2tMOnzE8dTQAz8uWeVtJ0YsaCqrLdVE/nbpxztdeHHL1riHPnW4xbghaiSCILaEis/ZMxt65m5JbkKVWKXz2zIo0RmXTBzwmkUezGfIDbwx580vX+OIjQ/70Sy2OnWnw3OkW0VpAEmgmWiOVdOl8QGePOZMX0oUy+IcpJq+6KZSNKfmqXgA6A3f5u3nNUe46uLvND1oCx1eXeOTpx9m08I13j3hBgK+s9UQUhT/52394cPayzYKbL5/w4stTt9OClqSJJI6UWw5xgHWAlnVA2/UAr14Ytvi/8tAIUT4WMihnbWGyXR5SgsBNUk3SlHPLcOdXNYdPNbnrwSanV5scPtOGIEC1NA2taGtLWxvnInhucH7Dc+PaHIjzu8zuKgM4mebOwO2lBJ5jb3dhRRxdhP3HWniybg8WEoWyHrx0EzInxWR9jYnH1XvHXL5lxNNHEkaJRycWhBr8xM0EVBWASykQUtaYPGfK0l8WRTCb91HGqUfo+XSbEX//9SGvuK7P6dU+X3nI58jJgC8+2uLMcoN07GGkJvYVQsqsQtR15UuyjCcUsiUnpGlnpYBoRV+716YYJ+d+2ZSArjRBExuIDUKnSJXwkismvOTSkJde/NVN3/b6f/5PfvL7jrxLBZdsGL69IMB/54OfJU5S3v/nY0y8i4u3DrjmohGvfvGEqy+K2T6XcOlFBo0gifJRDTILJnPtLYtgMgc5xWP+l6qBZZ7IsVPMXZEiKsULUuLUcuSk4KkjijsfbPH0UZ9njzbphwFhFIDno7oegRK0FLS0oVnxgQOd12nkZbOuLjzIZInvK3xfZheALbW3l7rMoud0fsOPsSbi/IoktAFaS3xp0RWbbYrAC5Cntt7vGCUeAs3m+QipJgxjj5EWzumIy4IxrUwtAylzkxogH3aUkU3B5JXBSF6qivETo9Bn21zEnq0xL74kZByN+V+O9nj6mM+dDzR46miDIycaxImCQGGlAiFJZSUbVND3C2iVaoarYLRpMOf+oSnBHRs0lksvCtk5F3PlxRGvvjHkmosMOzcr0mS5vXb+vu8F/a7/Kgb/D+/7IqurA/XgA88IjKKfzPLEsQZPHZlwx0MTZnTEnl0R1+4LecPNIa+5McIagedZWu1cgkgwrunUbbPtQsWCwVl/MJwj4+aXeNqCMAhpiSPLaOIY/dgpyR/fETCKFY8/2+DQyYCloU+Y+qB9UB6qq/CloKmgpSwNhRtnprLCI+VY2/eES3pUwe1J/EyWBD4EPplr4lLmnjb4XpJlRGOajYgLqyl33t+hNwiYmxHozIvPi76mz3txrqvZXiMJQ8WmBcUbXjrhiw+POdFrM/akkykavMTixblnnXnsMnV2IdVZJ7L4G8bqyt9wQPdTRaoViZeNfYg9Z6V6MW0/5hXXJtx6VchbXjXh+ZOSJ/Z7jCPFh+5scfScB0IyGmvSSOXlm1idA3zKMsoBXktLm+K5SAzCWCxOkDfbKZ5vEDbltS8Lef1NIdfsi9i709BRkvm2IkkDJmGDMPEIewfE7KZrVf/sR5Pu9vUNyhsCXABzc+13X1gbXd9UKTQkA90gST0Wxz6LaczR1Zj7n0r46JdjNs0lWGO4cV/EO143cY0NCWyeTbnh2oh2o7xIRa2epP5X8+E8vZHgiSc1y31JsyF5cL/Hp+9tMIkVk1hx9pyPEZrYehjhgdaIQKOlxFeChrQ0MmAHyhIo62rAdeb56pK5/bwvswC3yno0RcHevmfw/bxAKy3Y2/djlIr46mOKT369g/K1s9tq+vuFGTz3wstudMVk4vHm28Z86mt9PvSVGYZJg3amw71ch8d5UsYW3UJCyAJg7k/JitavANxkA3i0Y3JPKxKt0UnqgK5SlHKD9OcaCbddkfDSK2KsCHnba0ZMYjfO7c/vDXhov08zECz1FU887dMfyUwliQ3PcJkEcLKk3bDc8KKQTbOpK8BKLe943YQXXZ5gDWyeNczPgrQKixsHNxh5RLFPGHvEsUQHveu11323tfzYX4rBl1d6zM91u7/xnk9e0ZGRmmiDbwVKCAZCE0mJNT4mjQlNwrleyrm1FGzK8ycMn/6qW2KssczMpdxyXUSnme2aZjeUSeVllbkOa0PFw0/59HsKqaWbiWK1Yyahs9SWBqmRUuJJ4cAsLYE0+NIBwVfgq3JGnwO5KBsetGsEyBuPq+B2DJ+V1Xo5g6eVe0KgY6yNOL3kE4UNghmJn6W9VVaVV8tiCir6s8wHFN3pRhHFHnMdxe5NEb6YME4CxomgqV3hUV5Dkie0lKyWt8rib7m/kclFY8rsqTFZz2QpjZIkzfIGKtv/KCFOUlTscglapUiZsGuTyVYMw1V7JkR2jNSGXk/w8FOatZFEFYqlHlRXyRPrmh/aDcut18fMzFps6o5FUzqsuWy5TxorolS7qWWpJk49okQTRW6EnYmUUj17xZ4r3taNw37fC+q9m+sAvrKyQr/fe9e5U0dfo82AmaZiHDt5oAUMU8kklaRSYU2aaaYUSEmsoWcy/SQt/VXL2a9WndGNAF7Vb9nJEQKTb7lAVnMqVBnkSJlZWTmos7SzJNu4NfeNK48666RXZFvvUYDbtXUp/AzcvqYoMXUMnrG4NvhZdtTzYoIg5uSS4Q++2Abtu+lcspLgqYGvTmQ5u+ZDQh3Y3GCdKPZ45xvG/NndY54932GYerQStymtqwK0ZSeOynMC1WAvL13MpZCsFHjld1PUwmit8FI3L8XLgK5kmTRzdePZc2GywUEpWliETdnUMvytlxsQaZH4Q+T7Z9j157uAhMAajUnyeE2QxJLY5mMqVGUOSwbwxA30DGOPSejRH1rWwjOvac2ffpcx6T/6Cxn8zju/jJTSX1o6T9PPawRs4WUKHNAnRhJLWRkqnwUIqho0WFKvCmw79X0rZ14Iij3WKsGLkLJoQVMCPOHSyoFw1YKedK+1JKupyLrH80IiTWUOCtnObGVXfQlwWciWwLdFS5vvm8rgnAQvY29fx0gZcfycYLHfQGhNIKnJkyI9X7HQao5CpfCsDATdjL+FbsjebWOeOxcyTjWTFIJU4KUWL8l0eELhLJWHUdU6FfKYzk3atWXpciGNDDo1pEqidL59ucqK1dJsv6TyLqRBZSAX+d/GTFm5ZYY7d8DKi7sodnaPhaOWJ3tk6eNblyMwRhVefpyqbLKwIow041CzPFhk+PWv+m4zsb8A4PsPHkcAo9HY1T4kbitrT2UgVxRAi60gFFk5LBIjsxLJbBmqMfcLqRMh3LKaL+WFBZV7ru6C8oTFExloMwmQPy/ey8i+LAWlaLD1lXBgr4Fbukc/B3oefGbgzrt/tCkkiqedPvX9mISYz36tyfnFJt6Mwq/WcFQdFKYUaa34SEwFgYpJ6CbYvullQ7725IR+0mCkNc3EEGXp9GIMdXExOSYvO4fyQLOSJbQ4VrSG1JI1oQi0ESRKoFOZ7WLnanmSDOhlMs0UCTYpTSXxZmpJuNLarXhkLxBo18o0CtmWrzilM5dv95gkqmJ5ZiXH8YTB2gk2AlkN4F+796u0Ws2Xf/6Ld9+8tLRUy1Q5QDkT3rGpxbMurZtmNRBJfsKoZ6w2xHV+z5MFAlTxtyw6Wyny6jYl8vkmpcbNJ9S6R1GMQqgCu5iDonD9iBsBPA84c92tc1liM71dryX3vRjfizjXMzx6qAnaR2fyRFcKlPJsn5hCuMsJVKruir5UWXjicexx42UhC7NjeqstRomipcBL3HdRaTa4NK4C3PXClhUOcqpSU2RVn25KlVGG1Ag8I0iVJFXGzbDJQF4tXsvLIWQO8hzUlQlZAsfqZUlzwdPra1eKBb0OcPc5ZVGUZyoZWZNPzsp27Mhv44klFsHNl1310pd/6ctfvu91t9++McBbjRAtzd/as8Pc8OgzCYPQbVBkbQlypIvPpQCdZ+Py4vWcMaAG7nVBxhTARfbvVZk7H7mmKiDPGUvntRFZDXhe6umai/NOFSdLVNG9UgI7b7517J1pbk2ht3NL0DF2CW6vqE6MEcR85t6Arz3dQQYaXwo3f7uoICzb6MqKv+lsZrVmPvfEFalRjCceL71mzHe8YsDvfqZDlAYMU0kjdZV1+Vz1surPZHLOTF1QL8TkYLTMGn1FAe5UuTLoRAmXvVRlrU8O9LIGyJYg34DBS9lkpwCQ+WhV5VKAPc+V5AxezkpMK6+FsHjaDWg6tzTkxKnohvltw7+VJMl9GzJ4PD6G1N03TBY//fdWNj/F8TWPxdUmbb9Mw8pizJdA2no7UvEBKdvONpynVgV5Bu4cALICCklZ81AdbZAzt9uCJH9NxuAUbVg1Fs+6YTxVB7cbpzDF3FnPpp+1t3k6bzhIKveYiJg//UqX1AaoIntZDTDLvsbc2ahpcKba9aoMlQVUAo93vHbEH342ZM3EjNMG41TgJRQsLqVFJqIoOnN24bQWlRVrUlRALki1LXtmlSHVFmWcXEmVRaWugtFlj2VRmlxalNXqzrKMuWhKqQD9hdfzarGdyGKGSva70jyTy2wlLcpPmJ+ZEJkRH7xLEDav+Hv/9Advv+vp509/8dp9O+sAX+lN8AN92VMHzl/6nz9+nqdOXsSMzqrilFtqlMQBW1SAnS9/2WVYVI9Nf4N8ua6Y4FV5UgB9qjyz0OJTmjMHfXW2h1Ki1OJZxV1t2E0GbK1E6aQUdqDruHeNyTZj7jLA1BX2DryIRw9JDp5pYJWHkhJfGvR0nUZFgE+7KPm96Hiq9bA6kMeJx6U7Yq6+ZMjXn28SK59xImhI8LKZj06+ZV04SabDkWQFFDUA1erzC2mU90Dm7oqrd0nz2e2Z9CvBndcC2axMIGdyitVDVMCNKCdmUQP7BgDHlgw+La0q72Gz9kRlCLyI6y4d8n2vewY9c/WlgvFlzWD0xXUMfs8TPTrtmA99QvGRr26j0/XxVamjippmmw1yz05UlbGrNve6TGXlnelG1hrQK+BWRc13abuVkkW47nlRgtsFmaLoFtcFuGUN4NXhP67bngLYRbayYO4UX7vEjusKirHEfPQrLZaXm4hAO9+9ehFO16BUl67KsSo6Vyp13IU3bRRxrNk0L3n77QMePdQlTBuMlE8zdVo8L2dVkgzc+VphMk+8kjVE1jSvW/Zt5QKrTvKVKJOvSLZ47gAus+9pira5vMtfCFk2R9RAXhbNFYdiav/Xem1S6f7U6pco5bIApBXEiSKwDb73NQOCubM0W6eYbwyLf7cA+C+++3MoJbiw2Geh22Wu4arntMqTFlP6AmpCv1o9ttFyVD3JpfaeeqwCusritfFiJWPLKoMrUWHxXK5IlK4D3NfZACAv3zowy3Bqi1ek4k32PK3dtXKdO88eh4/c0SGUPkqqLHtZvxCnM5jrL/f8xDKlw0XhGiSpJkg1b3/9hN///IgnjzSJlcdISvzUZO6RQKa2cpysay8TVXvWZH+rvm9RlclTA7qwEN3UX5WVBKjUlsM6i7ksorigkyk9noO52iCRPy8Bvh4jGxXg1YjTZgyRST+ASexhhy3ieCtNc5TJ4P1QsQs1wImTp9m9a0frf/2Z37z4oeEyoXBd3DlbiukPVPnj0wB/oVt1aapd2VPsvbFEEQVwpschywpj50FmPrVJ63yT10x7qylw5+l7L29MNm5mSNEilvd0Jtk9RnkRB09rBpEPSmfyxE6Vx05fuHWE1wcaTXnhWTdOmfjRtD3BFTsnPHkwIjUBY+PTSF3Nts40uBJugKVLLOWrpSEPMksmz224vE8WdDHY1L2nDKTSAV5lu1NIU04IyKdrpXl3f2EAlMGlkK7yqGxWrmvxDaWKKH6c/1YdclNUkYq85U8xGnvokU977tKL9734n7ZWV35uNDe/3QH81OlzrK31Xv+iyzf91PPPPkWqBQZbkxzT9GNzuq7ZX/XfqYEaCvYuQe7yOVUglMAu+xhVhRVVbahmDnLKGmlVAXXxPEvyKDIv3IHbAbgcCuRV5UmVvVXW1+lHrAwM/8/HOyyPG4jAc/JE2tqqUg7O2bgiowZ0XNmszZu0CwZ3jkqSaLotzU9814AvP9plOfSJpGYsJX7WQ1mOfMgYPK/4yXRxXkZrMRm4TZE5rLaN6WxIUx6k52BXUmQM7iRRWrgoFDKl1OFlO2EpU/LAMz8e5fu2go3qccl/VsfcRldDnhGGOBbsaO35qVMnDt6XxOM/g4zBn312P0Hgc+7sSbrNFINHFGeThypJiRqIv1FZSeUz1JSNqD/WWJsyre3m5E1LlPpgmgLYUiBVOX5MVUCtpURnkkQXAM81tymCSk+bAtyezusv6uztqRjfj/iTr3g8c7gJ0kNKSZCXxlaszWKP+OxLvmA1IeWxLccllCBPjGs5SxKPay8d8Z2v6PP7n29gdMBY+gRSFEkfJQVxEdCtZ3JRZfJqh1WlJsYoUNatCsa62Tb5bEfH6oJyrEQ5i6acTOtyJELWAZ47YlViowb4DRh0CsTTIM8vznzVi2JJf5gQqzMMJz5p4jaG0ACz3QZB4DPb9em2XIZICTcXLimGz9dPzDdipvyL5L9YgloUP3OWo9iQvcvAUpRsXjDkXwRwWQK8SPTkALduTnYmRTxVuiVeZThQqbkde3vaTa1a7Rn+/KsdlnoBNDL3RFSCsReQKPn3nD5/G9p2uWVoJCbN3RTNXFfxt18z4lNfm7A8DIiUZpzKzJ4UmXsjymZsWbJlDmxry64fU7B52c2uc2dFZc+zoakmG3+dH/cqyIUUle77fIhnprulXRdf5eB25b1VLqzaa+sBLirYg8rxSgVRophEkt7QEnQ1M6lPkrjf1MeOHmZ2dvaixx9/7CcH/WU6bZ/RxJIaQz6g2OB87yJs2aB+ZhrwteBqI+bOv2ABbPENJYqoAbs++7va4eKGu1MHd76zQc7cqsLc6xg8HzdRjpzQymUujx4TPH+8gSFASF0055bVg9X4QVRcjfKAVGtRSsIQFXkiCiejaDdLNVjNlXsjLt0+Yfm5Jjb1HYunTqboiotTBnfVQq+8RkhWzmPG5rb0yd3wpqysqBLbKOMuGiPJtHeW0JIlGRXgNsLpbykKeVKOgSvdntIutlNl1C+86rlvUrJ3kgiiWDAJ3cZex0+eZ9vOK37y5ltuefzw4cPHtBQpaRJuCzzzBhuv0Wp4hHFUat7KWIJiicjLC6ofIg9wNwJ2wWRVaZItmjXmFlPyRFScCVEJNit7AMnMLpRyygev3rMtrVUV3BWQZ/vVe1lpaM7eKnutdYxSMZ/9eoeDS03wS3niVazLquQSrB8XsdEJK6c/le19prq7WV5GG2ku2RTxppeOeOjZFhiPJHVa3Euz7G5al0oFsAro5LahdKUChUSpyBWZPZcZS8r87o59mq0YMge6yVdYWxBTTapQxiSs68rPg836aLvCUq7o25zB3XHLejrT8rMnqSBOJKfPL3Lt9fEbRuNwWxglx3TgG7S2zHYS9myLOXhKEMdOtOc3mRvf62j6GzB37XFqzHHleV5cVdXapUwRRRnoNLALNlei0oRbAXc2n7DctoP1wNblgKBixJs2GcgTJ09UTLMV8fUDij/7apvxxIeWdgVooi5Npj9/9YLeEOBM6e8py7Dqi8eJZqajecurJ3z+ayMePOBj2x7jNMAXFBeaKv5+qYPr4ZwDua3ByZQXmHJsnkqnx02FtfOg3sg8qBQV/S0qgW5GUkYUiZ58FZNVqYKoBZ8lqDeSL5WPT12lS+kSdVFsOb2Y0BumxLGb6aihT5IIZjvL6MY59p/cQjSWxb6ONTaesvqofai6xs4fN0rqVJfOGnNPPS+kiChBLVVl9wYlstqUEtwlyPOyWYvW5QhlnW3CpFUd6F7B1u6ulAswfT8ijlI+f3+LZ0+0wPMQUmWgyuaGVIJLIacu5Op3ryC7YO08UVbJZBpbFhmZil0YRZqr9iS88WVDnjjWJEx8UukxNgo/Zeqz5F44UwzuHu3UZ0HlF5vBKIHKM4dSYFWWwc70eLGiSpCmMsvQUGHv9R1N68iNXMpNTc2qYaqM1TYiVSkhkIZWw9BpDnng4IBz/ZAomTCOJ+h3/MuPI6UmDHucX2zjpYIdM4aW7/zlWrFQ7g5UrrCNJMk69t7ANamDvMra+cGrBpjlDgSlNKlYhQVj5wAvJ6cWEiVjbsfYtmBqXTyWz70suNQqJvAjnj4u+OLXWozGPrQ9pMgrB6nYgxtkMfPvVqeKohbFoaucrDtdPlvONVFFt0+nE/HG20I+dfeEJ44EoH0mRuJnWlwZUGkOtOwzpBTygLQK9hLY1rqVr5Au0rF5vqrkQb6xDuzSlIk2YapuSrbqVsGex1qyHhe8EGbqEqYEWKnny9+R2fDQViPh0l0h/+ePrLGw6eMs6DtYmE3Qy0sxSiYMx4rxsEO342Y1J2bKqqsCcfoqLBhe1BhrWnPX/zuxDgiFHBF5UDnN4E5vV7OZSmUVhllFoWvnyp7r6nzwKXBndy+fQpsV+GuVuLuO8byYxKZ85r4m9zzdhIYG6RqavUoJb600tnqvvthIolQs2MK2y3c5yByV1Mga0MOJx6uuHfGml4945niDJPGwQjEWGi+l+EwiLVm8/AgbM3n59y0qnzEpHZu7125Tg1yHF35/zug5KeWglqXEzLGDsEhTJ8bpYBiqeLEvSI5kK1V+7PNmjDjRzHa6mFBz7oyrxdENmSIlWG3QgUtZT8/yqFt22R+ouCBiCtDF0jP9waheJKKypIvaARHTwK5JlWqavnJXU+BWlbsuN0HNAe1VQJ07J84xcY9KxfhezOPHJB/5SgfwQXoIoYouIpVtpFongfL7VJTmFMAoa1KoMndFg2cbCRhVdrbk6XtrNe947Zg775/w8GE3SSA2ilEqsoKv7JylOQNW6oDKy8sJAGsdi1eAnv9UZaA3MtvPJw+KTSWzbLO/ZStxkylBWgbflQlfIndT6qt3fozqxzD/d3PrMZNeUiCLDRNEtmudZDTxaQQuwAXQF8YSi0AZSydr1M3rqcvltwIwsRFoM/0tKJyR6nvlxSKKC2Rad5cHQZQaLtd2OXOIStFV/pi1ppWbTbmdHcoB+CW4a6xdecwba3OpolSC5yXEacJdDzZ56lATPA+kCy59YSuTY6uB1dTxqQGqDi1beVI0QFRqRGrVhanEqMxRSTVh5HHNpRNedYtj8XHqWDwUPhMDOs2DuaxOpRLMlRLFfYBqAq9qXSoJVlmkFa4L0bpAVFiBFa7QqZAqgopdOLXim8qFX/PFp42HEth1O9ldKCYnQZuZHlhSHJBlPmc9clMC5mbdrh2pEejdXQ+EIE0sInF7t7sS07K2et3+LTUtNbX1XMXjLDzPmrQRFV+0fN9NaaruETNVfyIo9t4pdi/Om29rDQ/l1iVKTYG7MhS/cE9UitIVgGcSxdcxB88KPvD5DmHsQcvL5AlFa5qq7hJcWT5FeQBeWKJM5RWqMqW6OYCxG2lxTTuQfP8bR3zmnjYHTruLLzWKUapclWGWrHM7NFhEmo3lmFpJbA70CsClLbW4zDS6NBabnSMrhQO4qcRKOZObXBvXiVAKEGbaXKgAu+bZbxyYSuEkkcoDY5vJGEAmEik0YmxY6TUZjhXGWtQfvPfXts531H84cezYlW6UWVm3UZ9kmmcMp+w6KepSQlQSMJV7XW5U97CUmRuSjQXOxgMXwJ265yMTqh538ahL3e0clDq4q3v1lMVU2e4POi6aGTwdkcqI3/90iz/84iwEAagGSmlaytJUNhtHQdHg7FVa48pMajURJSvHk1qAWsYSpe2YX7RCkjX+lr2QSlqENezeFnF6SfLIUz6JkCAURiiEcKW062ImSnYsVpWKA1e8thVRk4G9vBimSqRrGt4lBaslCMXwqul7pVS4mF85NUa5WpSW14hnIqZoVKZoWHYxS5IqwlDRWnjZtpltr/+SPn361KxNht/eCWKEdOORlczZshro1XV4XSPVDyRUr1RRY/dasDr1uljqqqxdqwO3Ne0tCzCUkkRVtLcqdnqobESl7JQkySsFc/aO8XTM82ckH/5yCzd/xbF30bmf/31Bbbxw2bxRDzRF9UUBoClwmGptSDlX0AEg70OUmFSRqkyLp5rvuX3EJ+9qsf+UBzLCCskk9dBk9SL5sU4zdKR54ieHakU6WVt0ZcnKZ5MZ0KQFaZ1syXW3tO5vWJP54yYLUKecsenn6+RsbYWfDiytS08Jd2ycg1NWPxpciW+cCiZCEa2m0Jh8+2ByalZrmeBrQ6shy26JPGFRgCv7o3JKN1f0FGwA6BewAtcHlev1W60GPEsmVPeRKTV4uVVgvrOamgK3m8hqskdnByplULnfrRKUTFCZPElVwqfva7P/YKm9pZDO+y46aNjwBAqmXxfcWNPg5fN6A3LNE69MpNJGuNoUWabwo1hz1WUhb375kMMfDohSBUKTCs1YCHSa2XfkgW7uqIgaHxchsM11uUBZW9RfW+k+o6qyqrBlil+AkQ74JpcpFQfOVAjM5KQo62XSNVkyLVGK/96SxZeuHCBPQpm8bMD9Q8ORpdFPiGyEXhsY+kNDkliCINMzmbNR1d5VQFKJiGt7KdZAXdVUde2VTyVdB5Jp5p5i7fx1zto52HPmLoCuqkxe6m6VB5H5FifSoGU5NF+pFM+LOXJW8Zuf6DKRHvkErbJrPltBqjXQ1aC75p2+8K2+fGduhq2PoC4DTVlUzeXgTo0mST2CNOEfvXXIx+9qcfiMBhWD0cTCYywEKs2BZjPny5Ynq8bk2cUG6PyCy96T1h3znM2lzT1xU2Nzk4HQSIGw5eoxDXThwgLMOiBXcTQFdlliqzjuxtWEq0p9jBAuYz3XsczMWvQ4NExiQ2rymuap9HiVvbPLbKOgUrzg+1PPa1F2/XkV2GKKtfNESh3cppQoss7guuZvZ2Cu+d2Vu3Qs7umIfmT43U91OX0hAKUza1Bm8sTWfO/i+QucqOl9JjcEelWqFI0H1R7NPIUvi3vRDCEVaaLZuTnkR75zwK98wKcXu4DAWklolLMN07LQiVRQKuwS5OX/u5+o7Cq0Ng/qHKvnbG6tk0AFg2crv83AKzJ5LDLWXr/aTeNlA+bO+UKQJY4q/04WsErpdk7OcyT5XJxmYGg2DLocIZw35pYBYVVvT4OWKmg39MTLnxf+p6TC/FPgrlyBeVZMVeuNq4X9mf9cArrC5NpkjG4KaeLkiFknVZRKiketYnQQ87HPBLzno11C4zl5IlQhT4qm4ilLrKa7i+NRhfXGEK/ORiqtwiro85S9xRhTZDeLFL5xW4E3dMKPvW3I88d93vdpp8VBkQrJxLiAU6YUDF4WYOUnq0zdV+1KB+5SslibsbnIKw9zNrfOPiwSP5kul+Xfyt2zaW1elbZMYaP42TeULyUZK+OsTWMkk0gSRBLte5KG5/aiCfzM0ahaeBswc/UPlx9KbPyBvsEHqxXmVJb7kskr4M636K5uGaiqroOpSJUcxBUml2V1YP0xyXzvmJVV+PiXW6yGObgdwD3ptLcWdXlS+6w5IVTwXMC6gu+q1i6kSvaDWlXf9NaLZqpOXEqUURijSVLNjJ/y1teN+OR9LZYHCmQMRhHj9HheZVgArnapvTCTuzxQmRTK61PyYNNK955jbwd0k1/8tr5Sl7ZgHewIV15bw9I0vqpsXvlZlTClhES5mQKTSNKIJLoZSJpNRaflEfi6wtb5Vy+LdkqLaf0Wz9O6iRcA94bSZCNgi7o0kUVgWW0wqAeV+XCaEtxpjbVL5s5Zu2Rvr5Xwma82ePCpJqaivV1TQy5P6vUm1cq4dSdA1E/OxiSesWfhg5cSZboZoro9Y2olypa+eJJ6aJNw67UR3/GSEX/wWR9UBEJihSA0GiWEmxyWB5qiBPW0XMmtQWtFWS6d6/C8dkZWCsWkm/FSrai01tZkyob34pjZTI/nztwGNeOUqoAp7NWOPc6RGk7AD0HPdBRpLJnpKFRWXLO+oaGMu6evquk/Vi455c82uoprGS9ZB0ydvW1hERYblVYALpVFZyPG8q3FnVypgjstHRNpyt3YpHNPAi/m8AnJBz7T4dzAd/tdSzfoXQnKHRum4oWNlsoq4L+BOinZvJAodd+3lAmVHaJrXfdu/xz36LY/2dpO+YHvGHLfUwGHz0sQMaAwSCZCVjaRgmoZraiezIrHXfx/kc3MzkOVzatgzoux8iyqcDN0qrXh9URfdRflavVjBcwFrpy4nxZ+la1Ui2MZRilrfYPyDLoZWKKGZabtdFiSTi2h6xYx1v0RqsCusjd1UBcBZmVJKTR3/nsVQBf2oMoBPwXyYkb29PO0GBqZs7iWFd0tU3RmC/p+TJgafvtPutzzaNP1tknttLeUrmtHlPNXis+aryy177ieyavHqXrc1mcwS9ei3OO9Wj5bLaN17WYmd1RSQyI1KtG86sURP/qOPr/w2z5hIl0GykiSzFVxNdoUTEl1hcYhpiiVznW4zCRKflHarLve5vagk2j5BZCzts0uepvZewUe8uzvRrEb1Fi8PH7TrFvHp81WHWNgNE4YT1JXD97wLFFgaQWG1FqSlFL/1YKgb3DbgNELlqic/Dr7TU2yqgyRqQLfyRJTsvnUXRb2YDkBtRZcylKW6GzGdRFcygTPT/jKwx6fvKdFGHnQ1IX2Ltg7D3Br8mQD5q6guAB7fhI3ODPVwqZidFkN3GBVme2r1oqnRiKNkyo50JNE02wlvPVVY+64Z8ydDytnGyJBSGKhGVPRrTZrLavIFbfbTF2Tu3ulLkVmnzNriihei6y0VmwA9Cp7W2oMPq2rS+Z+YdRVVz4Xv9hsvotlHBomkSGKDboRpER+SuBb4qz6LJ85WPNqi68s6mjPr7biQ20E9I3liaDChFVZkm34qkTdNZHFfuqZi1Ikd3IgmwpzV4BeGeZeaG/ppsSuDS2fua/FgbMNJ02EK4kVufYWVCZI2XXgLi7a4rtXAf0N9EmFebCisOTq9/Wz+cpa8bJGRUqFNCnSaOJQs29bzHe8YsiD+316UZZ+NU6PRyjyfSDq4K6u0TlnuuROcUFKt8oXoMYFlhInVYxw/+Y00E0hjSqVgkzV71QYvDhy4hscMyrHKZNVOcDD2BBGlklk0dWgRmZuQTFWDFEHOuvrEmqf4QUDTVsDey1AqwWZdp3+roI5Z/hckshiMHsOcjsF7mxngspjDm5PJxhSPvjZJu/5RAcrtPO9a+xNqb1r1uB6oFdlGlWQfwP2rlXyMQXqymDT6Va2cm62waQSI50vrqQhTj2kMvzYW0YcOuPxnk9q4qQEuUEQCoky+SCJDNzV1rYC1ML5gLhFoHw71+HFtYnNLn4y8EtRAl0IW8iVdXggl0yVabS1gyXKg5Yfo9oxrDaLuB84m1sipUQfOaMZDjT9saTbdh+stKxyoJeRfE2uTKG8ZO7q6NzqPUsby7pMqQaX+dQkUYwiLrW3EOsdE5mDW03Lk/qe9Srbe8Zp8BjPjzl0TvLJu9oMhx401Xr2Lmq+K86OKBM81Yt5+vm00/SNGZzaKllq8XJuiTF5vUcF6LIcEG+k0+JSauI4pdNOeMurR3z+3iaHzmZJBTegmlQIxlnyXggQJgO3LcFuC1BnbglZ8ie/iHMnRZSf2QiKCsZcnuTn1pA1JtcwIaawUgKpPG6VeKAK8iwTmo80yY+jlNBuSrZt0mzb4qE77QCbegTZ6OC8wbjYZtnkxUBOukwvEVS/dOV5DnZZDTCpAL0K+mnWzobIqAqL5xNNlXKDH8vB7BX9XdluQ1ZkiZSZY5IxudYJYWy444E2X36s6YaDS88BfIq9CwdHiHowTL3orMbkUwHmX3Qr2LxI3VdOonE2XC5TbLYVidPdppQpRpIKiUolRijiUPO6GyJed+uYk5/zCI3T4cX2jmgmIssIkgVxQuQ2CDYbhKMK6irPfb7RlMXpcLLy3txJkYVlWAJdZDUu9SRPRaYw7aLUD1CVtfOx05Ycp7YGcCPdJxdSo3ft3L224o8/z1j+HUjcFWvK7e1Urv9ExZ/NA6INFpKNGHw6qCwm1laAXZ1vV4zkLYCdA70sG606J1Ku19tVOzBPxUvpOnWkn3D3wz6/+v4ZUqtL50QqhJBuH6BqS1SNwauOz8bs/ZdIYtbJqZa9rHjNFbliyKdeZWQjSkel0OTSeePCaJLE4PspP/2DfQ6c0tz9kMT4IoOs+wKxUYzJ4oYCSRmTK1Gfrpq5O84Lz1bb/PNWBv+QB6Ei690XldojUVqSlkpgTiWgLNh7vTSBShltxtypJcv05sOALJ6nkLr1+Z07dq6pH/iuzlDb04dbjeRHJVFRiupayiouSBFMTQ/omUq35xOWJKzLRlarALMunJr1V+weVg0gp5I5WY13aQuaynYbJtPapiJL0kpCx/VanloR/OoHZrjvsbbblEf6WUmsh5aCpoRAkm1yZdfXbtfuolZeXBshV6l5l2qqYbqi68vXoqjBKW1S1h3LPDAXWTAuq1Kv+jMLmxYSAm158EmftbGcWmpkMUVcVIBeZKXXXZ1/mWWpUoxbWZGA2sTy2kVdifWK66y6ilUeczCnFhJjSVNIEohSCGPLKLQkBBw4svgDX7r3mQN68+wQKQVhlKCFYRxBFCuEsCRCIlJXn5MKEKb0NKtXVf3KqwYRFdauLEeFc1Kb/13ZJWBKmshpzZ2zeA3YVSelGlhmpbDZ89RP+cCnZvizr7axDQVCOXQKjZCy1m9Z9jd+g4754vuJ+kFg42MD5YmdIvJSpkAt0KzPL8yCzKwe2mbMba0pa1SERBpFKjRynPLW14x59ojHu96riYKkZtRb4xGS1c7kUWPe1ibK+nDAaXKTZTczdi+DzIy1hfPFbVa6UPfEbUWyiBo2NnJSaotdJTDP3ZK8OT5JLFEKUQyDUGAiidTumOgwHWBTgZYp3Q7YoayBt9h+u/KHqlmj2nmsBpbZiS2bRdcHlWWSx1bsQrtOpqiKBpeq7Gqpbm+XM3fxXJZJHVnUnKTc+VDA+z/XZpJmU/BFbg1mWUtha9p7w9R8FejUV7iaXKmdrI3PnM2Cu2KHA6rs5cA1XUJrZSWzKSvOilCO4WRWnCUNqdEEnuEH3zTk/id87nzM2YW5N44UGKsJ0yzozLU4ZTq+sIYz79vZgwKVWYJVkEuRXwhZwVUN4BTSVGQgkhXXqWLH13R41ao2lYROmkKSWuIUogQmsWB5DI1uTLuZYlOLvvq2D+564plnfuPr9/1Hbr9hxHiSYrTIRocJNyo3YxNZ1CJUwD517tZfkbYCiClgF9q73MiolDlZEkeUO3updTp8AxavsrdMywBTx4xC+KXfm+HI6QCry92Sa9o7l0g1YE8Bmg3AXBwGQfXhGwny6WxxPaNZLb6q6vH1tSkm26/UyCqLK0RqEEIjI8MlO2P+zQ/1uP9fBQwm2ZcxsvhcqXR7cTpWch/CbfWTgx0wGajJMe/6Pm0WXGajDh0u8uKrTINXa1JsWnk+hReK1bByuDI2dWZHaZ2m2T1JIUoEUSoIY8vrr4m46Qroj5xvdHb1wvFf2zq3m+HIw882O3XOxNQYXFECsmDUKRlRNijUS1lr7xevTV1vF6xcDyDrVuAG4K65JpXdeTPPW+uYJIX/8rEOjz3XcJ63zJm7dE48UZcl+WMtBimcoTpzZ6nBiv21MV9v+NZ0Ui0HMyWTV4uuqoM6p2tU3LiJsqTWpK45whjFjVfG/MR39/B1DGkCJgaTgE3ApqQWQgOhEcRGEFk3XTjJBoImtnxe3vP5LZX3bPncmFw323KrFMu636/uF+S2VrHlf1fJ1dR6NSllSpRAmEDHt/hiK3F0GSa5GD1ceSS95abLj4VrywzOPYKxLQDCSBfiP7vAXEdHdtVttPhWU681YFBl72otR3UDo/XuSbnp6AuwdyZHZFWW1O5ZYNlI+dIDAe/7WIfe2HMeYOZ5kzXpOuekzFpWS3mrOrwczbbBDMJaWCaK12Ia0FOsvQ7vNaDbUq7UWDufCpsDoCpVnI2YSoW0xtWrJIpuw/DDbxvxyDMBd3xdQSvJhbP741KQGMmEnEUzDWEqWjw7wS7ZU1EvQhSZTmtKds7vdWmaHTtbIYgMWwWTW5jW47WQL9fxuN2bR7FgaSJZG0XsvvwmXvOa61haHaKDlkH7ltEg5JkTPZJUsGuTAtsiScq9zacBXdtvpQB1xmIFu9WfV4Fdj/qzLGUF4G7L6A1ALkzB0jXmVg7oslIlKGWC1AnPHdP85ke6HFr2XRu8qGjvrGLQy2adFM7GRkElU8xNBdiVEzUt29YdvIqmrKzANd1d+r6VstR17kIJ9qIQy5piU1mRSxVhnVSJLZfOJ/yjtw84dk5z8LTA6qrAEiA90gzkTIE8ly/WuD7dnPkcwLPPWlnJmAL4hkB3v06eZ6odR1sex5rQE0565LtQEAqETrn28lX6/TUCf0xiJBaLPnG2wcKcz50Pz/K//8pemkHAj/xtwTW7AyahqiUrq55lPVNZTb3a+ocsspTVkb7rWVuIfGu6acljyPeArG4pPZ3Mydk8b2yQMsEPEs71BL/03i6f/EoL66kyHf8N2Lus+16fkq+Ce6OkTpXRy6WtfoZqrD0F9vy99TUpVR2eA9oWGU6b6/CMwaXIn2fBpzAkqcGTzlXphZKf+nXF+TUBQZ1uLZrESiYVDV4DubCFo2IlKGPLjGYGBJGxeZY3LB5FtkLJyoXg2LyS+bVTeKse2xzgmQ+vswadWy8J+fHvWiOJx5iuZXZOMt8W6LNLTYzonltc7nzxmr173jAa9DlwOMBHM9vOB1baooSy1ihcqSWug7vSCCCrzkn9eQHymiwxdamSyxLhNLdjcFPq7CxTKWWKVEn23NWaRBg+/bU2X3qoldWaqALYdfYudw2uzhvcsJiqor+LVrwKsKeZuwD/BvK7KlfWF7ZlGtxkzkWtPsWVvTqXQ2SMLRAiS/xkzoqUlZoVKRFZxWGgLa9/yYQ3v2zEH35eESXCpW0LFncXTSLFOpBb42jWYjO70H1JK7PcuXBoliZL42fn2VaOZX4xVCXKhpOtqoezImNcTZKzKz0t2LFZc/XuWc6c9el2W1y8qf3FrTuDc+HYQ733d36DF93wkrW2b9caOvq76XiRzbMBvqdc+5qaPtn1ir+8ZkROJSjqE1dfqHmhDELrtSWVYLPiecuNmLvSEV/obp2QSsOn7mnyf75nhqNng6yJoUzouJoTQSChId0ge52Ngctni5fJnHI0nPv85WD+YhCSICvwKefJVIf0i7wASFQSN7lTN32vBrTVGvTKEl9OH3B11UWdh9x4xcmvNCEAY5nvplx1WczJC4qDJzSmisDKFWuFyHBbDsAoUuuVpA75BbnuKhYbxhu1upupH9TEr6W+EBbH3U1gawSSTkujtMc4hM7sZaAW/vdTJ488sOeyV7k9eoRIgZTAg5mOptGQCJkPWiw/QLUSsMyk2doVWLxfkSfrZEnFHpze77yquR1b1+VJGVCWzJ0DO3/0vJSjS5L3fbzNgUMBdFThlhSJHSkLaVL0WVKvTX/BjvkqcPITL+oB5XSAJPK1t0yKb3DCBW4YfYXdp4NNytd5+l4Kt6+7FLbwxkWmz4UodbgUeVe+Jg4tV16S8INvGfDQUz7HFnMTO/+IopAhiRRMLK7mJBPGOWMrmbF7VjMD7gIq/PLsCDmZUtaa1Ni7wugyU0C2wI37N3OJU8VifjEba5lMYNVK1vqW9kxCFKdAtgnVTTdcTaPZpBVAf/U0fjabsD5c0lJPIdsCuOt87mmpUs1QVsBe7rFosk6eqlwpEzo5sKsBZh30KUo4aaJ1yspA8Bt/2OWux5tllWAB7FKa+GK6Ha3s0lGVg7/OFmSD9yrofqH48oVu1RR1rarQVh9zyeJAVsgUkfVD1rxxiRCWVFiEyWr8hdPjQih3GQlDOjK85saQf/zOPv/u9ySrY0od4IpJnCyxisQIJvkXz1yVouowkygqkyg2kzK5rM/dEZv54et6WStgzwNNWTk4pmjCcAdGVuScsZCmlkloMEbT7O5h++5rmEwmxYXBzp3buerKK+5YWVn51Wajgc52/tW6rAOp1WdXnQ1V9bWnrL7K7+fZyBpLTydxVMnSVVki5XR1oCkylDlz5wmdibD89ifavPdjHQZxVkiVAzzT3W52n0vJ56Mgirna1EE8bXciyjar9Zn5epvVXwbp0931hf8NdU1eCzirwzkrwK44K27vTeeF5+1t+QBPY/PBQZqOhh9924Afe+uApknApM4bz/3xzCu31pJYmBgIrSA2EOc+uc02hMo86cIfN2UyJq0mZ0yeSKz431NeeJplKguP3Dg7sPZzY0lTSxwbojjF8wJWVlZ+9aKLL79jbmFrCfBt27bzrnf9h9Hy8spR39cEGnzPFltclxOi8oDTlMAWlUROleGndHVNd+e/V60hKdg6//erF0CduWUB7jxbmSBVAp7h2cMef3xHi36cTcakGlQqB3AyaVIwd4W9ZUXvVsBee155ZOp3c2DX481vjPSyXW3KMnRrYQHg+kVQaUouun5kBex5IkhWhgipAvTGSKxRJLGioy3f9/ohV10eItPUpRptUksCYdIC5KGBKAN5UgV5PgCzSPLk3vxU4qcAu6gAuNrcwTowmzQHtMtcJqklTiBKrLvHBqkkg8HK0d9696+Ntm/bVkoUgLf8nb+F7zd46on7OXLwUZq+IvCzfdszkOfgqzslG1mGlbHCZE4K0wme0i0pnBRhSnYvfPAymVPIkUoaPn+tPcOThz1+4lfneOpggPVkKUty7Z2xty9L31tX2PuFey43liS1xI6g8qqk9r+UXLH1p3VffJq9neaUJlvyi2lY2S4MwgW4xkq39Fvrnht3LgqZIiypcYVFIrJcf1nMu39qjR/99yKbh04pfI0onlsUCSLbTzZbbbLaEytyynS63JIN4xEuCK7eSlmSyRbslKvi2Dt/bbL/psxqVorAMMRxwg3bL+a1r34F40ye1AA+Pz9HEDSZ6QS0AkOzIQiyvSPLFHlFUxdMZmvgds+ni6pyrV0BdDWpkwO7xtgmKweYBrcpAkwlXEJHeykDK/itT7Z5/NmAVE0lc2SetZROmmSumOIbsLcoLc511YM5cEX9hJTHoXom/2J5UsN4JYtJJbCspfQLZp+qGbcCmU3CyjcTsJkvnpfPFmDPgW4sKQYtLDdeFfIP3zLkp/9vj0GafXaTXd1FttOBPM7PfG4jCpw4zupRlKwCsIwdCl2eDQbKr4m8tY3snykIwlJbIQspI20mc1y6XmBQOmB2fh49HK0HuFIapf1D7Xbz8OaF4FJPDfE9avq6ytbVE1ie3DrAp/ctrzJ3ydpVTW5qz6vOicyrBUXG3CKrEvRSRim875NtPvKlNmEOZlllb+fHyQzcnrBUJ1RtmLV8IQclB231eW6gbQjmv0ieTLN3Thl2nQ43lAFWtUZF2hLwuXMiM8ALKxBGIoRxwaYz1bP3LIKMzVOLLyxvf92I/cc17/tEh2GMO2CmQGEBcnImz0Ges3kN6Fkgmh1jd1Czb2fKVbFyBAsHBWs3PHLVikQprKsilIaF2RZBo3m4EQSH4iheD/DNW3Zw/Lk//+KOrf6HVNT+N8PeIlrrDLR5MacomKcwfGoFAutdlMIvJ5MgVUuwZgtWNPdG4JYVcGepeK0SBhG87zNt/v3vdbmw6rk5IKIaWJYZy5y9lXDjyNZZnhWQVyN9CXV5Un1deb+CfdbPJ3xhhFeBXHuveFnWBBXzP2y5R42xwo0TFmVav/Ze3upmXL22MyNVuboaiUCTpJZtCwn/+of6YAXv/3SHQZwdsBzkxZVWB7ljc5Gl8jNXpTgiFbBmv1MFdp7ZFOXXL4lho2QYJcFIAXGSsGX7JozsfOhPP3XPF3/4nd+xHuAAzaZAav+zszPhdwYyvsHaqJYaznfhLWbm5Qd++gqr+uCFNWjK2u+K5lZZ3ck3BLcyjrELcGcaPLD82Zdb/PJ7u5zLwS2nspWZNMltQS3sugH2xWQtvgFzV3zuWjq+cqJEbTn7i7FdBXnxsE6SiOKsbpy6L7Od60EtpljcFhaisNndqOI1RhGHlu1zKf/6h3ss9yUf+kwHGmnG4NkXl7koBoQikZVkTgbgwjOf0uT571RT+UVCNC+wqkq3fPUqnBZRFJdZC6m1CBmwNtGPe0Hzs5O4fuBrAN+y982cffof3dcJxMMtNbkhjhM3/y5V2aMkSbMZ1UJWejTr57ReYuuAW0/smEKLF8Cvae88iWMKcKvppE7DcOi05g8+0+bsBd/53bLC3rLimmSaO7/ntmBR9EWZQZTZhVmwdv69ai+gOsOxGmj+ZcFtv9H7NbfEFntTruvdpAL4XOPmoDZZ9tQITLaaiCmwu8DTknVXZt/LkkSW7ZtS3vm3htz/hMfh0z4E2QfMd8CWlQ9tFKkUhPlnM26jrqJ+JfOxVfYNBS6VTyXwnDq8xcEwlMBOLMQpxEYSGUFkIEwsvvZorMYP/9Lvffm+Jz/5c7XjKZm6xWoPsd7L6sTSba8w0xnQao5pNiYEfpzt414F6AZLeC2oNBU5UtHZNQ+8Ul8iXI3J5+EmTAAAL2BJREFUenCXdSbKNxw+o/k/3j3LVx5pQEOWrD2lu6lIE533hIoymbPRjO91g31kRapMy5TCExTrTtS0ds8zdtMuSX6K181JqYC+tAan7MECBPWfTa+8uS9eTQbl81WcfHH+uDEaYzTpRHL7TRN+8Sd6XLIzgjizC23VJ08rNqIltRAVd1FYh0nNDxdTbEyNKKv13ia7gI2F2Lh672EiWIklSxGsjBPCSZ9Ldk142Yu3cduNW9cRhp5+oy+/F6119Pt3jnnddV/i1iv7zHV9hpOGW+IKhpClZhLVQYnVNH0emE45JxXmrsmRnLmFWSdL8kSO9gzHLmh+/jdn+MgdLSKRJXOoa+4c5NXAssre091F62s3ysd8VapieSPP+xsSd/WHU/RdTUHXspr5a1tn7bJHLJcwTpfbPLOZuSgFi9dY3bF3PnvcOSpOohiT86z7o4G2vOPbxqQGfu6/zHJ8UZSIqWnxPNh0TB5VmLzYQNPW2dpWfscKS+1Xp46NyfzyMBX0EsEoThDhhMAbcctVa/zCP7yG617y+sikCe/5t38BwFOxk9A2/tWPfNeuq3/xN7e+5nf/fMD/8qYJt107JDCCONEQ6+KjVmPdcjRvpam4YguWNeClLBFVcKu0BL0oJUnuhWttOL6o+en/PMPH7mwRyWzrNSEr8qTqeWfgfoHhPeuqBqnIlo2CyYKoS9dknXz5ywSWf8GtsAJtubXIOh1OnfXEOkeFGotjpyRKBh+BLIioCAYzwCcpeCR83xvGaAU/859nOb7oO0WTpfELjzy/ZSAvDoup9HlmMZkpIJ6BXbgtT/IZhtWLoDja1nUaRXFKx6zxiptWeOcbezQaXZ49c91Xb5+/+F/B6rpjuQ7g1+9r8oUv/XH/vJ058OTRba986vk5deejMd/9ymX+8VsjFjowMJI0rTdC1GuiHagpQJU7J6YeUE5rbvH/tvfl8XZV9b3ftdYeznDPPXfMzXyTm5GYgBggBFJQQVQcq4hjfa+vxTpVsa221rai72NF26rF1gFFLbTPR0Wl4ISAIvOkIGQgIQNJIAlJyM2dzrCHtd4fa9z7nHszkBCwb30+555z9tlnn333/u7f/q7vbxI29FXHlxBpuamXYvcwxSf+VYNbhb+SPLD1gzgTS2Q7AEPAVUvalUQ2AM5Z7XbW2r4WWefPESO71YIjZ8Gl4iuUVZYTM9PxV1iwu0qK5t9aSZEWm4CoIkKak0OoigmcSvkQAgkYPKS46Lw6kpTgL79cxZ5hOCB3nvXBcCw5FMi1uE2Eq8gJjXsZbOUqUc6xBhFgVOZczu4fx1+8aS/eeFaEjoKP/ePFdL8INt3/4LVjq05/W8shbeHggEzg3L67+f6+jpmPTu8qQ/Au3HzvDNz2cBm1po9G00eUeGbCafsb2r2SsqAwDhMdUJVRS4gGt+biymJr3q3ju1mK1AO+eWMHrvu5tty0DagtuCnR1al0MFV7j2UGuCYyMq+J5+JP8g8DcntlHIkhd2mIwXTGqZP1aCJnxbm22nC5NwCHi7cqYW6lLN3cylaqldlBKm4lZfAS4C0X1PBHr5uAl6YyUETzcaFiWPQzZA1uzcljoXI5haUb3Nyl7P/pGksCea48JguPlXyBzoDj/JMbeNXKEGnSj6cPDABY8GjJm3h/4LWftrcF+GsveCvGR8L0/FXzxcxOgsV9KWb3FLB+80w8sasLY7UQjYghSaSyovs5ylOsTokz2dRgp4S3597GHZ861lwBnaWAB9x8dxHX3lxC00QE5jyVZoJJLDXR4IZLR9wsnayKko81abHoQMZ6EwfQyK17BEZ7yoXZYCzigJ4AxrDknD/cOoEyBfTdCaipTqs7K2tA20lnypkz+aQIUoG3vqKG81bXQdJUgdoBuXBALizImwrkqdAxK470B1g+Luxx1m3afSZQCAQ6iwKL+zlOnl3Fjt0zsX13Nw6OVxCzFSIgHempp7697fH1MMl43avXYKLWuPbR9VsWN8b2lXurHmb1Bti9n6NaiVEIUgSquRNRHArODtpQ2tboQsm9heHfxh2f4d0JmMdBPYEf3VXEx75cxYZtIRDm4kvaxJr4DjXRZY9NGTbkgG7wKbKNXB1QGwy3EHJnBWe4PHIqvLdz1eeYiQW3IxC3xKeYcg1ugrLIPBs9XADgBAQUIBxE9brkXP6q7HCTv+yklMggsHwowhcuHcFHKfCTu0rygOp5qUtVNEcHQwogAhT/F6CUSP0aUL01RdY9r8+VSj7xGRAGBJ0lip17OkFA0VeNMXdOdWL63DOv9bzCpMeYTvbBoqHZ4oktj11x4cuWPjNrmofeLh+FkMgiKxFFnFAkTq3qjGPVAYnl4NxYcRPr7agmEtzWkjPGQX2BG+4s4q/+pYoNT4QqG75VKTGvIamJnwuisrREZAoQtX0gv4y0xXQexIdUUQ5j5EudwSgkdrkbdJWRFTPyIGzzKmOxqYokzC3PVK+13dsydIUzCNXwikcMJw0m+NwHR/HaNTUZ2mesuSsfWgsvlAWPhI0+TAUxGnfGl6IOohECqKzPFKg6TY2IY+8wsG0XQ4Msf2b9hk1XdFRnT+ZWmNyCA8DZZ56EsdExPLV9HeJmA8VQKO1eFuZMmSzOKfQVTCxFcS14RhM3sSapjP82Th1HDvRSEA+44c4i/vpfq1i3VYGbesjmVNoYbxBZD1EnD+tgqpYEYjgcHA4NQRtwuyDOSYd5B08G3I7SMjma7Sru7Vm+dxUUuS2bWS8tuTDrucAXJr1MRx0SMxm139fWnHNtrXUGlwAEtRGIOhSAMzV5VDsYJVg+P8bff2AUAsCP7yzZndfKCoEzAZX3x0QAsQav4uMc2itpY29cI6RTAimRYbONZooxCoB0oFQdQkdHZcrDTKf6sG/atCal9L2zZs6cqHakKBVlTDhca6EtjXuyDQXIRghmOXfWQ2moieLcP7m7gI9/uYp12zS4XU9lqxUnFE5HBmSz411Q5yMG26kkbZ5b8KtQTTIL26tKhwR6G6rifpanMkLXEESOrhheriem9gLQZSVaJpyZGHKaaVdoJp6Kg6eCGYueRhQr5sX43J+O4tVn11SihGPJHQsuH9xOOrl1/mhnTv4i10dT0xUQ1Z6kwTEyFmNg+vQJRul7e/umNac6vFNa8APPjPGe/sEHzj1XjK57YF354BhDo8nsTpn7Sm5SmQe3DrIirvMma7ldcP/s3gI+eoXi3EFe49aURL+XFVm1t9J31RLqUJPJAJz73AT9EMDUOzHrWmJuJaycJc/ohzki3wbT2XOqeLZos55x6rjc2toWIwsqay1fixzIhdHCjdKiZEQZZ0IBChWXomJXNLcGA4FqlKxHDCwbjPEPHxqFEAQ331tEqvecOv+gCdQiSCHlQyYIKJd1121pbmvJ80Mf7/E6Ry32cMnpZ48uXjz4wMjoOMcUY0oL3tPbi0qlc//+0cZFe5or4oc3pWhGisc5QMnkbE4W900cy+0kLrjPggG/eDDEn32xig3bc+CmLiWxtIQovdtXFtsj8qplRNh4b4oMTbH77IDU4SOk3XJkL45WBpJJd8h+6XBHi+advQhE7sEzd1LiWHxinrlwaYyb7UMNTzfPjlXXxYNMuxRh3foyLkmWg+MRxbK5Mb546QheelodjGf5t7XoSSYrKHYUFduixS2VTDK8nFGCwGdYPJfjPe9YFpcK9Ys6K537e3v7pjykUwKckBDrHnsCnZ1DT82c8aKtYdiFRiRL6xuL52TkuIoJaUNNGLGqCdN8myTScvvALQ+E+NN/7MKm7aEsVKIlwQzvdgBOrTPHJ8JJQ3OrwrYW78lSlCzorcXORg+2M8Ymq4ccGY6nwHYLRRH5iSZg5EGIPAfX+vLksSmCZz2ctiKWq4O7MSpuu0KWBTn35IQ0plg8N8a//MUIzjujDpa60mHiUBdJVbiSDt0JpwW66mrhvlcHhVGO7q5enPKiFVtPPmnBUxMj21EuBkcPcACglGHXE7/Z3lUWl6x88WJFMVrrmLhZOLb6VKrUE5tHmdG4SQIvlOC+9YECLv1CFzbtUOlmuvJrhnNbWgI18ZCSoAQ3JW6kYH5iKQ5rUula53bx31NGELY14UeA8DaAt6/1fMedeLahMZmArJyy4ujilqO7+ZtumWbFwQ03pypZmZlE5lQpKyln4E2KxbNjfOnPRvCy02sytzNyrLdWWBTQueLjEZe5nToQK1/I0xbjBJpRgr6Bhdi9L73kxp8+sJ1SdsjD6h1qhWVL5qLZqCEIi7sfW8fuOLh/0+9RMgrf4+qhO5fxTCJxZjJpUs1s3UDGZI/KHcMU9/y2iMuurGDT9hAi0Pp2O2B7BtzEAbedVGr9tI3lzoE5U7+lDXi1xRawK1gMT4ZgYWxG3jk0FaaFaLOSo5a4iJcqCs9m+2ggEyiODlsrUOUwave9XC5M2TVj1al174NTUMqlbKhJNHFsISEQSJ3SDtCZB1gyJ8YVHxnBJ68UuO+3Rex4xpehtiZ2Rf6vghNEUIWSVK1DHUKRgIColpaMCngpEMUpuqsVLFy46I41a1bvrtXqKJVLONQ4pAUHgLBQwuOP/XpzoVC5YnBwCXwaoRgmKIQJQj9RncxsOWMLbOV+Z65SosBdSPD4bg+f/koVH/qHLmzcEUIEnmO522Xm5C23LbmmIwXbtlbJB1DlVJRMlCBaLwgzkcyv61p3ZC8Mexkcvjk3Ftrl4Xm9G5a2yGXyl1vd+W3oSS7UNtOeUKsp3AmndelLLsSWa11ceTwlXfGQNhmWzE3w5Y8exN9+4CAWzYqAptbIY0cr5xBCmNDaWHdrUApLpEoi12OCeiS7F69YfhK6qh1X3H3P/ZvLhwFu4DAsuB69/XMQhJ0PCD5+fcnf8UbRfAyBrzi4LgXBrKV2s9/lMm25U/iFBJt3M3zq6534/i0lNLgHBFPJgDpi0II7o3cTJ9YkV+osE3eCNtabIOPB1H9aaYvranMg3GZGSQRy601hxdVmhRZQ2iguLrj1d7KqirMdA2Bh8hsz743FFs5rxXm5LDXHTRCVCq3lVGYMQa3sBlkBKrs+VXc7AkQEA90J3vXqGkIf+NRXqtiyKwAK8sIzmUEAUjA0IedSTHk6AVV+ggAsEZhocKw+dSGWnbTk+pOWLHjgwPDoYRuNwwd43wAmRndsnzXvjA9X6G0smYheF0UR4lSW281r3tnSaolpAuUHCbbsYrjs61V8/9YyGkRF07jAptmwVx36ykhWCrRxJsKRBXPdGeBIhLpuH8TkFhvWamegK7KTybY8/FBonmrkHD/Zi0AjVz2THPBd7ybRLnuHd5v4b3nxcYN8+X8YKZBK8FLK1V1EpriByIuIUkWP1EWj235TfcAEUU4dAtEAQj/FRS+vAVzgsq9XsXU3gMC5OIj8TiIYmlx2iyBC7hCBnITWYiAMi6h73Te+7NxVH358664dixfMPuzDelgURY9y51xs3XLLjmfS1Wt3jnaDeQcQ+omkAMgrJ7oopmzd5yla8sR+hk9+rYrrbimjAQ/wfCsDZuhJ1onDqFQNAypkXRPqhMBCW2KRyS7KlAhrR0+Qtewaue0SizORhC1YPpSMchSIN4pJFvRuYJJNVCaZ9fWkNNMNwaEpcLKDOM8rMbqwvlVZUlVAKOVUBde5bnzqOIYsVeHcRxx5CDlw8fk1XPbeEQz2N4FGIrtLiNhWzeJCVsrSzh+lqtRioBmN4jVrfFz6B8vW3nH/r44I3MARWHA9xpJBzJkx53M/vWfL0MoZ9bfO7JyQhR+pjem2vSqd7mYkxQOPBvjqDzrwvVvLNhOH5HVu5ciBdb/bWiZWCtTAzvb1aa98tKMp+awcmIukFZctIbH57z0LHE+B7+xrJ17DZgY4TauMkVcBVarNQtaKwzh3KBQ1gTATVO5eRVxOADnnoCpLiFIOrnp6y4mqmsgSYix55iKiBCIh8L0EF58nLflXvl/BQ5uKaOp+QJC31lR4iAVBKARA5XkusBRrVlbwkbfNvnb5Kad8DtG2Iz6Oh9ZZcuMbX/0yOuaf3dw5NvcnCzuHz42jeC5jthGrx1I16ZS9cXw/QkQSXP2TIv7ksz349cYiYuoDzIcsRO92GbbWm6j6zwGR9dldWuJq3SxHS1yJMOvNROZCoG0/A4hTGlk/E7Vc+paIcyHpnqHqO0SeZNvehJgHzbxvvdjymUWter3aF8AGi8HuX8bzOsndqvVzkbl72TmIfZMNObClk/WKOkxaVb43D+G854LCA7BsKMabXtrAgVGCxzZ7iHVRIRB5zolsoV5gQJEJzKhSLJ7dd+f/+p+L3tLY98i4X33FEQP8iC04AHzqfRdi946Ha0K8Jnpy038ijvcg9OUBo6onvO/FCAsR6jzFv91Yxt9cWcXB8cB2FW7LuS0AjNWG9VBaAOu8ylbODdLGmudPOiYBgZYCHVpirHZuTMrXj9KK27hvYmapGYmQOM96Nqm5MIRtA4KcRRcWhNqKZ2ocqmVS+oOlOFw1YTNFg5CZeBJV44EQrvi4MNacC6L4ugQ3U5SHUYLejhSXv3cEjApcfWMFE03IrruEIaUUuqAWIymm9XXjnRe/Lrr7Plo7+8wXH9VxPSqAA0D/9PkQgt/fnDht9cjTNxUJaarJpQR34Dexda/ADXeU8dlvV3FwIrR9KWleApRx3ES1pfCpLI1nJo+wTpxsNo4Ft8YZmwzUxFqsvCw4GUAzE8o8V8+gs/33nv3IlT+Dw8vzYNYRiDqGQghVu1BNOtUFYpMm5HLOKUA5KJdlim1tHwKqQE5AQcGlh5EQlZ0lLxCqQA5FdTiRhf6FSCEEBVUXADPcPkFXKcH//uNRFDyOG2+vYPN+efVw6iHhDCkXKBRCnHfOyvrSxQvup/SIpoqZcdQA94Iqms36J6YPvlTQZN1H0vrDBY9yhH6MQqGJ+zdQXPbNTvzq0RKaaQD4PtzOZhrcRPFsChsJ6LUoIdYTaTl11pFjkheQ81ga8LfJnFdozFwEyALZXAQtzphWLn6sRsZlbwUP9QFxLLG29taiQwcs6SQUx5IDzneJaoUCIYEHIbVpaBVQGJCDqKKdVKjkYCbVKaWoEMIghIz5J0Q5l4gMpqKUK3Cruokqc6hajPGZ947hgrObuOyb3bhvHQGIh4gVMNJMsWrBUOOiN5zzpVLR+5tyuXzUx/LoLw0AYVjkzQM/vaxc6f98WJoTeV6CYrGB+zYQfOyr3fj5A1U00xLgFQAWAiwAaAjZSsQDYwQBAwoEKFKgSAVCo5IIA3ZP1/Gm2rHTBtzaQutyKMiC1VU/2k5GdbCUQzkyTpuW12LyA3M0gNcUZLLhCuS5QKx8ln3W6eNk1iO7rF1z2Ww4resIIk7glcoHyCgoVBaISlnmdZIyJKmHJPWRJB6SxEecBGjEBTAS4ILTEnz+fQewetkI0GwgiVIsHpoZzZo18Pkrv3fPZeVyecpowUONo7bgekRJGgk6eHmhPBLte3rHp792Q0h/eGcVD20uA0U9idSqiJwRMUoy4a3ZIjxu8JPjjCFZK+w6Z4zlNlY8N3lDtsSzi6m21jyznv2C2+D1ULnzhx0PblCK1gsjt0zknvNfd2mKNPaKn6uVhFDdL5UVVwbfcnSuqkAos2eqs0GVozBhxcTIwsJQP2HKZEuHkTDZ/0JQUM5BqHyWAXkp0tSDF6c486QYV1w6gmtvi3DDgyW+cG7/p1fMn/aFnXsPRniW45jcXLc/fg2mdYcv+sldu3/77r95iE1ERTNxMKBQSoLrrLE6tlU8XG5MJ+HM7rMpteYCusW6i4wi0mL9KRSXbKOuKAolVQxHYaEk8znVCgvVzadgFBWqFCGqmlKZ5lUEttGsaWhlkzJ0Z2j7m06ZZ3c5EdnPCJRs64QpmIJLjqyqar2bsh6A07fUVi5zi6kCVsUB3M+zpbLbVTcjKprUridL+jHKUfATjEykuPOJN6ZPTyw5JWTj697ztjc/a2w+awsOAA0sQaG38rhfnvX+t72+66vX3vQQTbmApxoUWQEgK/XprBtXEclH9bkiRV7dIJOA21gdtFrpzPbcbebe5w14G4PeMo7Iak81JrHcGW9ni9ripLUR7eixx1Nbdc2RteUmRJhYcqEKlHAQh7vqM2fpvr4jmL5rOeDbQk8CnAgwlVhMiLTg+WNICUetTlHqOYe/9LQV79+0b+jx/vLeY3IojwnAlyw6A/c//Hj0uvPOuurme3eUls7p+eKOHXtQ8D3ZjkIdbMAqHYyIjIbt0g49XDC7w1gPtFFMnGUwt892kmCWhrRzz2d/tO3LYz5EG3C30HPlYhe57+k7JRTQCbEyIoilMBLwtlina4T0r2VAntsB4cwHTNUqc75au3nIC4kr2kLNNrhxCkUolqeDi/DP+2e99KqwuCmt9p5+TI7nMQE4AJzx4kXYuHVP+vH3XLjlZ7/89dh3vvvzyr5nRsHB0ExlHh5gAe3RrFLiOh8OZ2jwuxIh8kBHDuwOdjJWO/eAs63Mb+a//FyMnAbuxoBry+yG9gp3mQK3NPbqNSQ3N6lvCrmCmD/mBzkhsqqtuQByV1Wbg2G6NKjqtZRKHk4pgRAS5BBAwmVdnSgGmN+Hnt5Xj3VPX7Ulrj+VVnuXHLPDd8wADgBdlSKajbEb33jByg/4JPnSf3zv1p4nnx5DTDxovsbcOJK8i32S8ysmw7wzccxTmYz1nmT78rPcB5l1n0skH+bQOrerjwvHe2+WqQmmA34NUuHWOYSmLRqczrYdutIudABme863HEOlQc4YB1Oh8oSoyoScoN6g4KQX/TMvONDRe+alY6O1G8uVo5cE241jCvCB/ioAYP+BkWvecOEaz2ficz/40S/7f7F2DJHwUPaAAFL281VRl0xFqdwBbPHKwYI9r4pMZrnzbuh2FKXdRSDabOt5MfIHynlty03YfjdaFtR6iuTckj+70YdyE4rXa6SqC4SLbE/jbHFPR4VRV5mubKYnmEIQgNn0xsCLQSnB7uEhzF14/r4Zg2v+Mk3ja7p6Zxzzw3VMAa5HX08VB0dGv33hK9bQWT07Pzv2rVv6b32oG2EpAPMluANVGJa1AZZ2FWtA2zxDZMxUW1phnrNtMvLrWyuPqQ318wXYuXEoImcz7u2kUi83cFdmVwdo6Ukmyd0h5O8Ru10nK78lmULtnJlsUgqPSSlbt2gvFSfwy996eKa5Yt/ZF/zex6M4/XapXD0ux+lZOXqmGl3VTlTE9VetPsX/2IcvrhyY0T0GIWTIa8EDCr5AwRcIfVmHOvAEfE/AZ8q6mwazrY6ZlpG30siB2rXYGcutVYA2mzwGVvtwZhNH+xOWbkBxbfujNhOIOLElxCzLOIP0dw7n/8k5jrgKn01SijgliBNZ8SxKGJqxfTQiD83YQ5zIvkB7hpv41frBA5t2VT7211+45apSuePZHegpxnGx4OYkVN+JPVsuv3r6jKFo1cr61+64a3+lHFIUAwFfF4hViLSVm7IdbxMuTIF9kjsRGYN+CJBONpk0khdFC3U50uFO+I76mB3F97WEp136+kK3nzmKiXHyECfEVisrWnmZej/seSJO12Kd7pZTWYjU8tNU2tJiQBCT0/CON71rH0jhP8469dhNKNuN4wpwAPjaTXN5qSO4dv6s8SQ4rfRvu598olAseJnoP5tmpXsgykzqhLTSlDwPN/qsOqnWidCej1srbqXBI8WUAYJ8B+iJFmld57BGnia5NOwolRu3Uqum1NZaE0NH7PxGh8K2torMKFtqYxrcSUqRpBbgKXfpi73rUipQqwuUKssbnV3TL1mxdOk2SoPkCA/9EY8jjgc/0nHbj7+PV533+6La0fvYQBdd31MNXj82OuwFPoXvEXhMev50vLOO8Tac3MRD2PbObhJuBsC0FczE8UralDUJ8MlrpegHyd4FnPftXyvPJQ4zHjz3oG32u/3+TV481BAvcwHriZ/WhSwty3iGqZoYwvk96qghehskB+6EIU4pkoQiUZQlTiniRFKWKJbv6w2BYudQo1Ce+a55s3uv27H1ke39M1Ycb/gdPw7ujj//4NvRXRhLX/uyVT+YN3fGu5cuHqyFvkCpQFEuUBQCAt8j8BlB4BMEHhD4BL6n4iIEnFoZxNTPMOlWaOWQzrlt4wg6DMeOHu4FlXF2TPmVoxuk/fuWWBmh/5fcLzkXfkaFEjnVA87kEDYDx9I962Y35UCocKomyB3gXIOYqQdFlBDECUGjSTFeoxirUYzXgEr3YK3cOf3dlf7TfvCb9XG65MXt63kf63HcLbgeP/zhdVi5+mzsfGLb+jlz5mzzfXo+4Y1CqUDRjAWSROrhHgM8pgPmZdu4RkzQSIA4tRWQ4NAUN74kk6HjZOVYdz5pBT5B22UaUfYzkrtgSFsLnrfek1pwilYLTXPOr3Z3pdy6aPO/aCKefZ+18u22aWNdnJgXmgU7IQBPKeqRh3rTQ6NJESUUqUlDAxoRwb5hgigGBqbPHOmfNvNPdu7YdW3gRTj35Rc9V7A7/hzcHX/47rfjm1ddjTlz+r/b11v1AzbvCxPDD/d+/5Yaooiho0jh+wSMScIYxhxjdYEDNYJ6Qkycsg6Z9aicQOkeNXq0ABY5EME56ZNZ8bzLnMBoyS382pngtS3i0zZU0Nlf51lryEBO6nQCzzSftp9N/j8I91eIsDHgxKkxro9fZqMiV8FMBUoBEJDS38hEgJFxD81ILmWMIPAFKqUUSVrHroM9+L1VK56Z0V/5s4Sz786aLXDOcwhu4DkGOAD88R+9GwAQNYavpjTw9j5FL7/+jnv7k3odYcBQCBgCn8LzCDwm0Nc7AfFUE3dvKIALHwWPoEhlowcd88CFeyuahJ+qk9xqpR2cTwKU/ES2xQGlty+m3saRDHd/WigKHMBnvqB+S7vcCRz3u15JXqRcNWg1tVKcvdQRgjaBnMPzZNmPwE8BJFi3vYD1W8uIGqrViEcR+nLrHSLCwLQAp/es2veqV778r6IovnrGQPdxRlb78ZwDXI+g0I3R8bFvVaa9mrz+VZ2fveeu2/uRTiAIGIoFio4SQW9nipMXNfCucBc+8+9F/Nfd/RjjRaS+nDrIQuruqXHBnKcuZBLQw5nRwsgOxmKbGGrHiQG7nkG2k12T4eyH4PktigXs9t2bTCZWh+Q32/7ysZNxVVaZCBCqbbBbLkKYAkDmG2oyS6mQwPYSBH6EQljHT+8T+PTVVTBBcOpgE10VDx0lhiggGK8lCMNurDzzrH0XLFj9cUB8y+8+MeAGnqNJ5mSjs6MCSshVF77izI++/aJXDC9d1AuAoKMI9FVT9HdHoIRg/oCPj1w0jJldB8GTJuqpQIM7qgpyt/kWPm5jtmme4+bAknF+OJM2m/ZlSzXAWW4i8Zw0Mb32IUJpLGAdRGc+c+kJLL1qN3+w/0e+0D1skU3dYZjbbB1TtFP/rIkdl5USfC9GMWxg/1gT//S9Krbt7gIEwf6RFMNjMcZriTQ4YQ8WLnv58MDs1R9NUu8qP5i6A8PxHifMgutRLpUhRHzNS0479cDY6JMLeqeRz488/aDf05miWo7heSkm6j5eNCTw2jWjuPL6MmLmo0k9JEIWdXc138zEMpOYkJ2AuUa7RYzIWF5hFAansJTKaZQF3N3vZQLyDnO0s9i2qYD7uWNZzbqiBdyZ/8X8sXMH44ehAoTbybIgJCM7aIAzVSmB+RF+dKePtVs6wAoMSSowVhfgIkGapFhz1so4SunHFi85ZQtH+OOOQ5Q2fi7GCQc4ABDi861bN9940smvD2ojG2v1wfQr0eh9hKJOmfK8hQHBYH8ExmPEIkUiPNmOLjO51NkrWk8nTu2ULLjbRcdlcC6cZ6rio7XEpkuMkax1N/EeZhvOQvf/RfaOI/fdoR8tYM+pLXp9p6+n64yxwU+OJAh74RDlpdITS0IAorLqteWXv2UzchhLAZZgx74AccTAivIOerAGCFbgL1/5YjFzzqIPrjrtpO9s3/F0NH1g4YmGFYATTFHcMTS0EGX/yWj69L5rBqYPLhuYOf/vvMIMRIm0HmApkhSy7BdPoMsCwznx7oOpFDBPhQQwRkCZTidTz4QYSwjAnPSWgvKqZ0u2H47lr/q7yKk5cLY76SCTrEMs6EnOemtw2/YsIjtpJnbfpVNGeohTDpksnBJZxdV5ttVjs+52nVpGaQqwFB4DwFPEKQcXKRbMn4Zlyxf/3YKhecu6e/qv+fUjO6OFC58f4AaeJxZcj+7+ZQBQ37P125vmLOu5vPbwtCCoFD8x1niAbd8IpEJg3rw6Nu4pSoBrVQQAcUAtgU1MtKLm4O7kUAjdhJRkwav2RSsnhKgiqtzUplTKg5UMTWk0JwBEKD4wKbZzgMw6o1rj2F2Z04QYq1h6vQ2z74ZjuRF/2RAHKmSxS905Xlfncjm73p5UUxJs205BaIplC4cxmhTwkiUnpacu6f/MWOf0yx/dtid98+vOOdEQahnPK4DrMX3oD7F57ffSpae+5ZOCP+V978a5f/6N//xN+L7XbsQXPjCC1/9tBbJhniSMOqAnD25PW24FcmMshW6ZB4hULQMyJxWwFMFUChbCtEnNx6nr4XpVD5eKu+tkJ5DC0I9MQrGTPOzKhZp6cUUxBFcTSQ5TBkL/hi7qw3U6A5GJykkqwydMjUFo9SXFB6/oR2cpwL//XYjh9Mxm1/TX/9MpS/o+ecWV38eHPnTxiYZN2/G8BDgALFz+FgixD3c/VP3EGae/mc6bc/LqcvP/0C1P7l6NKPGIT7J0hEB1xSXwmOyOK4HuAFxbb8jepSkXth+ME+fiSo5UAZlR+xlXDQ9sTW5brtjeDQ5vlpnh2GgnC+ZrJDqNvah7EThKD1E15oWOGQF4at30ZpsM8Li6EqBKYFPdPjDb+iRNE8yeOTM5sH/6PaWBC/nyBQvvIYR/YsvOESyYUz3RcJl0PG8BDgCE9OuXH9/wyLfR339yZefo4ivPPmP/xeu3D9O0XgcC1WXNyz+o4t+2jINuAyiEjFREAsQqTFfGubR6RAUFKDRPgVQedEx1rg43kFVlhMi+NpvOyX3mm+3kP6dFo8xnFaBMl9mQQJfbUv4ATkA4wCkxF3IcS64tuP1d3TqEM0AIeY8ihKlwCYbQVw0BBUfCK+BsHv/981983da9/e+59cGtYwsXHZuk4OOOoRO9A0cy7vrtE6iUC33rN+/68A03/2b57n0H37h+3WbM6aborVAUQyD0CHxfBm55HlG0RU4wqQE4kKYc9YhjvMZRawgZD6MBoP64dwhb2wRmm5Ljy2c9cWUUcjJL1N1DL1cTXDM3YM6cgTkUy7wW9rVK/tBJIEzFiTBm2zZC1yoREszNiGG8zjA2wVBv6omkI6Wq7ci7nUw2CXyOMBAoFRJ0luro6TyI7v4hML/n+o6+s9aGpcF/5mltv19aeqKhcNjjBQVwPR5cvxO9XeXBW+/b9KXfPrLxjdvWrwWSUZSLPkKfwvOJCcX1GHWK8RBVtYmAcwnu3ftjHBzniFJhuCuF5bsa1J4GNXXAyewFZC4CZu8YEth0SoAblccAGgbQGuCeC3CV9uUxGytCHdqinUxR7GF4NMTOvR7GJrLgzlyoCuCBLx+Mpgi9GNMHQixePB/d/YuvDzpOuZQno9v90vNHHTnc8YIEOABsfvIZ+IG/cP36LSeLqPbhbVs3nbNhw0aMjoyhWPRRCBl8nxoXPWMa8JLCeEwASLHxyTru3QAkCUXoqXIWitO7E1c9aTUA1a9bgK7lSPueMQt0F+BexoqrIDImHMDLh9fy4Oozbq09tU3AfJ8jTlLct7aMjU+UIIT6XU9e8Hq/tTMs8IBCIMBojFKpgjmDC7Fo0dDt1c7gn6u98x8RPNlM/ekn+pQf1Xhec/CpxsLZvQCwWQixGcDa236Vzlj+oiVf37Bh48L169axMABKBVkDNU0lmIIACH2BQiBQLnLMmVbH4qG9eHhHERt3dqOvLFD0gECBjSMbhERha/e5vDujnyPHzZFb15lMAlm1pB0Hz4YcCENNTMMBHafNZEvHwEvQ3VnHpl11/Nd9BI0xH7N7CUoFiiCgCHyB0KfgHkEaSapWDAnCwMOiJSvS2XMXbW40kz+Zu+Cs3QA2mfblL9DxggW4HuoEbNr/zIFNaZq+shCGs1afedp16x+9u3NkeHt58/YaPBaiEBAUQ4FSKFAMOaodCTrLTSybXsNrVtfx8I4yDjZDUCJLsEudHY4ioirXClnIhgFttXO39Z8bs5LdaWSVk5a4GGFX0+sqcHuUy4fTVUN32Ai8BKVCBMYm8ON7Ge59rIChXmBkgoMLgQIXqhUJEAYMoTeBkXoJ/TOGJl55/ppRiuSi/oHZT1FGt7/Qga3HCx7gevT19iDlYvu0/r6dB0dqL5rZl5y5b+SUb4h7Nicje5/q8TBSqRRjFIJUWrFAtlrpKHIMdCegIkbMQ8ScwFNRgakAOBUQDACILEOmVDUbeaeGAbbi8toZJKQzSeRUcelcyVvqbAisyK0rpT0BTzXh9VgKxnQ/Uhmv7XsJKI0xfNDDeN1DlALNWMBrCiSpUMXlfUwf6B87feWyA155sTc82nHJ4Nx59waF8gggOCEUvyvjdwbggOS8AHjS2DHMqgM3TcTDiz96+Teaj970nb/YvuXXf9AYezymGF16cJQWBD+I0I9wYDTBuq0EUcwR+NYz2EzkC5/JvsKEqI68InvQ3GAo09BJOZKopilc2NQb/Z2cN9LN3FGBui13AEZVrXTG4fuSjjCWgsAm+woAYcCxdKiOSqWO8UYZaYdAV2cZ9dRvdHaVHjvllIX+y85ddc0TD73zHwdP/UbIwoHGlidH+bJFx698w4kav1MAN/9UYS4glevaU0/uBGXe5xmjn58/tICFhdJXnt5PFpP48TWxWM+++dNO/Pxeik6vASpKqATShb2nBkxEBJWAoCJsBpF2DJmgLt0ECtr9r2IAQJAq6c7l4xnnjRNeoFUb4+1XTVq5rkRFbF6k56Wyk0YQoViI0Gh6GB6tgFIPxUINwxMJLlztYaQ+jlvv78PJS2alq1fOv7POS5vGxsbfT2mchmGIoZX/V8yZM7d2os/XccXCid6B4z1mzZ4D2Lt9Uhsfec/A3EI34hV/f+/9CG575Mn0Ha8JX7J7f7LytvsjVMMaZk9jWNU/gbs2pNi8qxuMUvgplxNVZVIpsdKhBrgGvzDlhAk4UTTHIeuGcmgpUCkn7nZs2QWVfQMoCiJVksBPUC7VsGV3A3c/0oNqGGD2NNnPfef+mXhqX8ev/8cFe3/T2zuPnX/uG6IFc3v/eqLWHO7p6TrRp+Q5Hb/zAM+PUkcVAIYBvA8Atjz2UwQ+zrlzbXzBgvnxRR1+c8mcvghLZ9yNVRv24ZIvduDAOAUPOESZouBRIzvq1DpCgDiRE7iUa5VFGGdRygmY6ybPOIys/EfUukkqM9NlsJRUTSCkhOl7EXxag0cjUBrhOzd148ENc/DBi5ejb3aIsBsbByredXvqPT9/dC+//UOXnA/gAyf6sJ+w8d8O4PmxYOmrAeD2vfsO3A7gDp4mC0QyzCf2bOCnLJs2/wPvWP5X6zbuQmdIsW3HHjwz9gwKHgEpUIRBiEIoy5GNjCWYqMt+7drJJCemMtZahgHIWGxZOUAYTV6XrWNMdjKrNzyMjMsLJwwAnqYo+DE8NoHOziKK5XlgtImgYy6q3cOX9/Wk284440w6OLuHBr63pRu4adHS7hN9aJ8X43dDCzoOY9uOfSiXgq61m3ef87M716Hg0bijo/SRspe+oqvEUfQFHt+4FklcQ3eFY99oA3evBZDEIKIJRgnKBYIwoCbYq7PsoafKUO2QlpsQoBhylIspfE+go8QQhAJ3PhJg/4EA1Q6C3u5OnHH6yejsALoqTZSL8c1pXP8iQeIXqivhFwZv57xxMCy9MB0xx3v8t7fgk435c/sB4CCAGwBg7ZY9APAY48lA6AsOkWDf09sxPhaju5oiYRRjjTh+66tWXXbg4Nhrm8047qpQBJ5MOEhSgc4OD/1dDF0dHLEqdxb4HF0dESjzfS/o/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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 266727000
{'hecke_orbit_code': 139611588482045184, 'n': 1, 'trace_an': 2}
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id: 266727001
{'hecke_orbit_code': 139611588482045184, 'n': 2, 'trace_an': 0}
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id: 266727002
{'hecke_orbit_code': 139611588482045184, 'n': 3, 'trace_an': 2}
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id: 266727003
{'hecke_orbit_code': 139611588482045184, 'n': 4, 'trace_an': 0}
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id: 266727004
{'hecke_orbit_code': 139611588482045184, 'n': 5, 'trace_an': 4}
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id: 266727005
{'hecke_orbit_code': 139611588482045184, 'n': 6, 'trace_an': 0}
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id: 266727006
{'hecke_orbit_code': 139611588482045184, 'n': 7, 'trace_an': -2}
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id: 266727007
{'hecke_orbit_code': 139611588482045184, 'n': 8, 'trace_an': 0}
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id: 266727008
{'hecke_orbit_code': 139611588482045184, 'n': 9, 'trace_an': 2}
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id: 266727009
{'hecke_orbit_code': 139611588482045184, 'n': 10, 'trace_an': 0}
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id: 266727010
{'hecke_orbit_code': 139611588482045184, 'n': 11, 'trace_an': 0}
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