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{'Nk2': 26880, 'analytic_conductor': 53.659470158300415, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 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': [6720, 1, [1471, 3781, 4481, 5377, 1921], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[11, [4, 1]], [13, [-2, 1]], [17, [2, 1]], [19, [8, 1]], [23, [0, 1]], [29, [-2, 1]], [31, [0, 1]]], 'hecke_orbit': 34, 'hecke_orbit_code': 148618787736787520, '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': '6720.2.a.bh', 'level': 6720, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '3360.2.a.g', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}-q^{7}+q^{9}-4q^{11}+2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/6720/bh'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6720.2.a', 'trace_display': [0, 1, -1, -1], 'trace_hash': 1182192899069770499, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.020', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.048', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.114', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [1, 0, 1, 0, -1, 0, -1, 0, 1, 0, -4, 0, 2, 0, -1, 0, -2, 0, -8, 0, -1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, -4, 0, 1, 0, 6, 0, 2, 0, 2, 0, -4, 0, -1, 0, 8, 0, 1, 0, -2, 0, 6, 0, 4, 0, -8, 0, 0, 0, 2, 0, -1, 0, -2, 0, -4, 0, 0, 0, 4, 0, -2, 0, 1, 0, 4, 0, 4, 0, 1, 0, 12, 0, 2, 0, 2, 0, 18, 0, -2, 0, 0, 0, 8, 0, 6, 0, -4, 0, -6, 0, 16, 0, 1, 0, 12, 0, -6, 0, 6, 0, -6, 0, 0, 0, 2, 0, 2, 0, 5, 0, 2, 0, -1, 0, 0, 0, -4, 0, -8, 0, 8, 0, -1, 0, 18, 0, 0, 0, 8, 0, -8, 0, -2, 0, 1, 0, 2, 0, -20, 0, -2, 0, 0, 0, -14, 0, 6, 0, 0, 0, -4, 0, 4, 0, 24, 0, -9, 0, -8, 0, -6, 0, -1, 0, 0, 0, -4, 0, 10, 0, 2, 0, -6, 0, 8, 0, -1, 0, -4, 0, 10, 0, -2, 0, -2, 0, 24, 0, -4, 0, -2, 0, -2, 0, 0, 0, 32, 0, -12, 0, 4, 0, 4, 0, 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'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [-1], [0], [-1], [0], [1], [0], [-4], [0], [2], [0], [-1], [0], [-2], [0], [-8], [0], [-1], [0], [0], [0], [1], [0], [1], [0], [2], [0], [0], [0], [-4], [0], [1], [0], [6], [0], [2], [0], [2], [0], [-4], [0], [-1], [0], [8], [0], [1], [0], [-2], [0], [6], [0], [4], [0], [-8], [0], [0], [0], [2], [0], [-1], [0], [-2], [0], [-4], [0], [0], [0], [4], [0], [-2], [0], [1], [0], [4], [0], [4], [0], [1], [0], [12], [0], [2], [0], [2], [0], [18], [0], [-2], [0], [0], [0], [8], [0], [6], [0], [-4], [0]], 'ap': [[0], [1], [-1], [-1], [-4], [2], [-2], [-8], [0], [2], [0], [6], [2], [-4], [8], [6], [0], [2], [-4], [4], [-2], [4], [12], [18], [6], [-6], [16], [12], [-6], [-6], [0], [-8], [18], [0], [2], [-20], [-14], [-4], [24], [-6], [-4], [10], [-4], [10], [-2], [24], [-12], [-16], [-28], [26], [10], [20], [10], [0], [22], [16], [2], [-8], [14], [10], [4], [-22], [-20], [-16], [-26], [14], [20], [26], [-12], [2], [6], [20], [8], [22], [-20], [-8], [2], [18], [2], [-22], [16], [26], [-12], [14], [24], [4], [18], [-14], [-30], [-40], [28], [0], [-8], [12], [-28], [-24], [2], [42], [4], [26], [-4], [-26], [28], [-22], [-20], [22], [36], [-34], [20], [-30], [8], [38], [-38], [-16], [-4], [34], [44], [-24], [-34], [12], [42], [-46], [18], [-36], [32], [50], [26], [48], [-8], [-6], [-12], [-24], [-28], [-26], [-38], [26], [-6], [-4], [-6], [26], [-8], [42], [-40], [36], [-46], [8], [-54], [14], [16], [0], [38], [42], [20], [48], [52], [20], [-52], [50], [54], [-14], [4], [-22], [32], [16], [-6], [-8], [-52], [-46], [-46], [50], [-28], [-30], [-12], [-46], [8], [18], [-36], [34], [48], [34], [8], [8], [-58], [-42], [-32], [10], [-2], [-44], [-22], [-32], [14], [20], [-4], [2], [12], [6], [34], [-26], [-42], [16], [2], [-8], [18], [10], [-40], [18], [0], [4], [-70], [56], [66], [10], [64], [-12], [48], [34], [-40], [34], [24], [-34], [26], [56], [-30], [16], [52], [66], [-50], [60], [-8], [-60], [-26], [-64], [44], [-6], [-12], [-32], [-62], [-42], [76], [48], [-44], [24], [-32], [2], [14], [0], [-56], [32], [-44], [48], [-10], [-14], [32], [26], [-30], [-60], [-14], [-60], [-54], [22], [16], [-60], [58], [-6], [6], [24], [-62], [-70], [44], [-10], [-14], [-20], [-42], [4], [62], [8], [-68], [66], [-70], [0], [16], [12], [0], [74], [-20], [12], [26], [62], [-64], [-14], [-30], [-12], [-6], [56], [-26], [-14], [-16], [18], [24], [52], [-66], [30], [4], [-4], [-60], [2], [-60], [18], [-12], [-74], [-24], [26], [-62], [76], [-48], [34], [64], [84], [-34], [34], [24], [-38], [34], [8], [-54], [42], [-44], [20], [24], [78], [2], [62], [-16], [-36], [-52], [-68], [-38], [-2], [50], [16], [22], [2], [10], [68], [-26], [44], [-38], [28], [-56], [26], [-32], [18], [50], [-24], [26], [30], [88], [72], [34], [-48], [-26], [58], [32], [-12], [-28], [-14], [58], [-40], [90], [-60], [96], [-48], [66], [88], [-26], [88], [68], [-74], [-94], [-42], [-46], [-6], [-16], [-6], [32], [-40], [-76], [34], [-4], [0], [-46], [74], [44], [60], [-92], [-70], [-40], [34], [36], [-22], [-14], [66], [8], [6], [42], [16], [-10], [-14], [-28], [8], [-34], [30], [-36], [4], [18], [-62], [-36], [80], [-58], [56], [26], [-62], [-80], [96], [70], [66], [-52], [90], [56], [-56], [90], [-12], [84], [-72], [58], [-6], [42], [58], [44]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 148618787736787520, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '6720.2.a.bh', 'level': 6720, 'maxp': 3067, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [7, -1]], 4, 4], [[[2, -1], [3, 1], [5, 1], [7, -1]], 4, 3], [[[2, 1], [3, 1], [5, -1], [7, -1]], 5, 5], [[[2, -1], [3, 1], [5, -1], [7, -1]], 7, 6], [[[2, 1], [3, 1], [5, 1], [7, -1]], 8, 5], [[[2, 1], [3, -1], [5, -1], [7, -1]], 8, 5], [[[2, 1], [3, -1], [5, 1], [7, -1]], 5, 5], [[[2, -1], [3, -1], [5, 1], [7, 1]], 6, 4], [[[2, -1], [3, -1], [5, -1], [7, 1]], 7, 6], [[[2, 1], [3, -1], [5, -1], [7, 1]], 5, 5], [[[2, 1], [3, -1], [5, 1], [7, 1]], 6, 4], [[[2, -1], [3, 1], [5, 1], [7, 1]], 7, 7], [[[2, -1], [3, -1], [5, 1], [7, -1]], 7, 7], [[[2, 1], [3, 1], [5, 1], [7, 1]], 5, 5], [[[2, -1], [3, 1], [5, -1], [7, 1]], 6, 5], [[[2, 1], [3, 1], [5, -1], [7, 1]], 6, 4]], 'ALdims': [5, 8, 6, 5, 6, 5, 5, 8, 7, 4, 6, 7, 6, 7, 7, 4], 'Nk2': 26880, 'analytic_conductor': 53.659470158300415, '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': [6720, 1, [1471, 3781, 4481, 5377, 1921], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1489, 'dim': 96, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19, 23, 29, 31], 'hecke_orbit_code': 33561152, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3], 'label': '6720.2.a', 'level': 6720, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 1584, 'mf_new_dim': 96, 'num_forms': 80, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 3072, 'trace_bound': 23, '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, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1315758
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '6720.2.a.bh', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '3360.2.a.g', 'target_level': 3360, 'twist_class_label': '3360.2.a.g', 'twist_class_level': 3360, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1315759
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '6720.2.a.bh', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 26, 'target_is_minimal': True, 'target_label': '3360.2.a.z', 'target_level': 3360, 'twist_class_label': '3360.2.a.g', 'twist_class_level': 3360, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1315760
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '6720.2.a.bh', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '6720.2.a.q', 'target_level': 6720, 'twist_class_label': '3360.2.a.g', 'twist_class_level': 3360, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1315761
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '6720.2.a.bh', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '6720.2.a.bh', 'target_level': 6720, 'twist_class_label': '3360.2.a.g', 'twist_class_level': 3360, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4268000
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 2}
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id: 4268001
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 3}
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id: 4268002
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 5}
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id: 4268003
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 7}
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id: 4268004
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 11}
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id: 4268005
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 13}
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id: 4268006
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 17}
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id: 4268007
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 19}
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id: 4268008
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 23}
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id: 4268009
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 29}
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id: 4268010
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 31}
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id: 4268011
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 37}
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id: 4268012
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 41}
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id: 4268013
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 43}
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id: 4268014
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 47}
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id: 4268015
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 53}
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id: 4268016
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 59}
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id: 4268017
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 61}
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id: 4268018
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 67}
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id: 4268019
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 71}
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id: 4268020
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 73}
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id: 4268021
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 79}
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id: 4268022
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 83}
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id: 4268023
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 89}
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id: 4268024
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 148618787736787520, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 34, 'label': '6720.2.a.bh', 'level': 6720, 'portrait': 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YFgmLis9AWbJjRLbc2J84rA9dg0DdvmIjbODNkwE7JpJmTbRsOOTYrLtrvUVIOjJ1o88IzHYwcSnjoek6our7+1zZtfZKipGQ4cn+ToGYfT8ynnMnAfWjTccMUC//7tK2yfneDM/CTnVwKW2i7LbclKN6XTT+mHgsPHlzh6evWyRw8tvOTAifkLjpya/+LN3/aW6N4vfeSbDYm/0e3vNYMvr7SRGAz8xv2PH37Rz/3eJ+V33nTwRT/9nWecxdWNrHQbrLQDltoeS22HpbZguZ2y3I5ZWk05twqHlwRzs6v8xx9c4sZL6pw8P82Z+QZnFh3OLxnOLSacWkiZ7yZMTg958VU9XngpeLKGr3zOLwecXXQ4tyzoh5AkmsDTNIKUqYkEDRw/l9Dpwc6NLo1aiDEChEdvoNmxKWRp1QFjpchqD8IEDIbldsTWDS7dgUIog9AhrcBlx+Yhq33B8TMOqXaYaUmagcB3IUkE/VBybllydslwfiXB94fgJtx8eY8XXSGYa9VYWmlx8rzPmUU4v5hwfjnh9DIcXjJcf/kiv/qDK2yabHHi3DTnlmosrHgstiXLqykrnZjlTspKV7PcE5zpChaX+/zXfzVMvve25n3uzI9rr3npfWnKL/iewAta32yoPO/t7y2D/5d3fYxve+m1/Muf+dlf+9in7/zXH/jIVy567tjqBftP9+WtV3bYvSUlrehqYyQYCUhAIITBEQZPwpmlGg8dkly1e5lLtw+pB+A6Es9VeJ5Doyapu5J+z2X/sYAvP+ZxfD6kk8TsPxmycWaZN7x4hasu6nL9pW2OLSYs9gV1f8iRM4Z2p8GVF0pWhyl7jymadYdnj8PFWwzDKGWYejhOzFQT9p30UU6KKxMcFwah5MZL+wz6kqsuSukMUo6fabJrk6JRj1gNDRsm+6z0OvzVnfDE0ZSnjg7ZuWWJq/d0mJqOeN3NXb77pYbdm5qk8SRHT09w+JTLyXOaU/Mxp+ZTDs8LTqzGvOCSBf7jD3bZODnJyXPTnF+qs7DqsdSWrLRT2t2Y1V7Kas+w0hOc6yuWOgnXX7rIP3nDgnSEuODkyTO7BoP4ptm57TW/Pv2Vk/v/kv/6Bx/9ZkNm3dvfSwZ//wc/xnfculn90ceP/IdTp8/9u0OHjqnlTsziwOFU13DZjnP87jsWuGZ3nfNLUyy16yy3A5bbLssdh5UurLRTVjoJy92ExTacXBE4tSG3XLHM9740YteGBqu9FvPLNRaWPRbbguW2lQgrXU1noOmEhv4wYaYVs2OjBgS+azg17yKkz84Nil1bDFs29Dm/EvLkwSbXXWyo11Z45tA0zUZEFLnMTGkGQ7hsx5AP3TnJnu0JYWiYnZDE6YBm4PPssSE1t8E1lyQ8dSTi/JLH1hmfXZthx6YIpWJOLYLnGoQw7NyYMNWUdAc+vb5Lp++y3FEsr8JSW7PcTllsp5xrw9IwZcfWHt/7skVuudQhcFucXWyxuBKwuOqw3BGstDWr3ZiVrgX3Ug/OdRXnVxNu3HOO33rHErs3t1hcmWCpHRCnDabntqfN1oZfe/TIrb+6e+Mz6U0vftM3Gzprbn+vAH7g4AFqQVA7c+bUjoceeeat+w+d/s97D55CowhjaA8E833F6U7CdRee53fescTVF9aYX5liabXOSidgueOy0nFY6UC7q1ntJqx0E5Y7hvNtwZmeAdHjzbe2ed2Nmgs3B0RRnZV2wGrPo91VrPQE3b5gGBqixJCmoKTBd6HmGyZbhg3TMY475PDZiKcP+eikwWtuinDcVR7dO8EFm+ELDyXceqXPfHtA4CiSNGZ6CpLYxXETlpbqvPjaDl+4v8muzfDIwRCXOq++UZOIAU8fTjl6KsCRHhunHKYagpov8DyBEpBoiGLDMIJu37Da03T7mtW+ZqlnGKQpO7f1ed0L27z5RRHoJkurE8wv16ze7jistGG1m9LuJaxm4F7uw9mOYqGTcv0l53nnO+a5fGeN+eUpVjt1On2PQagYhgavvh3pbfmlmY2X/c/t27eeGA6Hg0suueSbDaXi9vcG4CeOH2Rubs47ePDQDx84eOhdDz38hJhf7MpBaBiEmn5o6A1hdWhBfrYbc+NF8/zWjy9x7UUBi6uTLK02WOn4rHY9VroOq11Bu2to91JWuwntnmalZ5jvCs62NVOTfb7t+i43X5qwc6OiVXPpdAN8VwKKKJFoLdAG+kNAaKaaQw6eNmgTcccjDcJ+jYu2etxyVZ9Yr3L3Y5Ncc7HLwXM92istXnhVn6886rNx2rD3uOGfvanD3mM+G6clX35McctliuV+hyMnp7nmkoi7nx6QhHVuvtxj9/Yhg6THlx5VkAoOn3Jo1R0cAf2BRBtBqg1xAkiN42naPUOjGbN9c8iLLuvzbdclzDQCzi9PsLRaY6Vjj81KR9DuQbub0O4ltHsp7b5huS851xUsdhNu2rPAr/34AlfvClhYmWC1V6fT8+n2XfpDh/5Q2iA5quldu68yuy7c/VMXXrj7fYtLi9Gle/5+gPzvBcCNCWUa99/w9GOfv2h+iXc+8OCjbn8o6IeG/iBhMNQ2QRNqugNhmXwgOdNOuPmyeX7jxxe4brfHameChZUm7V7AatdjtefQ7irafej2DJ1+QqeX0hto2n3DQk+w0IM4Dbn64gGbplN6fcNrXxhywSZNkkocaYhiuOvJgBPzAZunEp45HICuc+k2xbV7NH7Q59GDfRYWG1xxQYPW5Ar3P+Vyw8UBS/1VVlZabNpkeGiv4vtf3uPhvQ7bNrgs9tqsLE9z7WV97n8mZbo2yRUX9Zhvt3nouUlqToPr9xgu2TEE2ePJo4IN0zHnF2LuftJlGCukhFQbLtgc8W0vjOj2FFumNNdeDFFUZ7ldZ7nts9pz6fQV7Z6k04NOP6XTS+n2Uzp9zWrfsDyQnO4I2oOQWy5Z4Fd/bIXrL7YXR7tbo9O34O4OHPpDRW8g6Q5E9ntirn7B9XEvVP/2+9/2HYeajfpn64Grv9nY+qZnMgeDAcNB+IPt+Qd+d3Vx3/SZ4z0mGhIpJUIYBCBFgpAahEBgNaiUBikdHj6wkV94j8ObblnmbS9fZtfWiHNLLXyvRs33qPsujZpDtyZpDlwmGg79YUpvkLIxtBdOd+izvBBw6qQhSjSnzyX4vgEEnjI4UtAfKAQuSd/hBRcIdm8x7NjaJ0y73P6wYt+hKV51nc+1l63w/tsNnqhzwdY+T92v2DqpmG31CVSNKHaZ70IjcNi2UfDEvohrL6nx0msW+fPPDfDcJq+8yeD6fb76UMQXHmzw3NEaF26pc8HmlLmpiF2zMVdekKKUxlEGMNR9n7lJnyh26fY9njno0hs69AeK3lDSG0BvaOj17XfvDlJ6A0NnYFgdwEJfcX7FUJ9o889fs8B33hJy9YUNzi62aPcCugW4VQHu3lDQHxqGkZVJX7nrYdfxp393esMjy2969Y3/qt/r/3m9Uf+/F+BR2AfBj508fP9vnDlyx3Sv3cP3AuqBQBtj7TYUQgAiRQqQwnbSKGlQMsWTkqcOzvH4gQYHz8zzphf1eNHlQyabLZbbdRqdgNbAo9d36GYnezB06IcOw9AwjDRRbIhjQ5Lae5R4GA1SCVxHEHiCyaZgqgmbZjXbNvaZnWrzxUfhnsddpJ7gVde5vODSLvc+FxMNW9zyAkF7MGB+qcHNl2hmJ/vUHJ9holjoxCgteMElDvVmyGP7A15y7QQvvLrLY/sVmAmuu9zjR1+/zFeeiPjyww32ngjYMafYNF1jqllnogk1H1zHoCRoA3uPCtJUECeCKIEwxn7HMGUQaoahpj/U9ENNbwCdEBZ6kvkuhHrIK65Z5g0vavOPXqlJkhbnFht0egHdgUdv4NIbKHoDRX8o6A0Fg9DQH2oGw5Qw0gwjzdL8OT780dunfZn+lzd++0ucbq//nuY3EeTfNIAPBiuA/tEj++/7jZOHvrIhifoI6eK5hsDTaC2wdVQCIRRCCJQkAzcoZXCUwVWamitY7Nf48J3b+OrjHW69cpW3v2KVK3f1mJmss7Rapzvw6Q/cDNg2nT+MBGEsiRNBktil3v5NG1Q6DgQe1Gua6WbM1g19EnocPB3zV3cHHDnZYNKvccPlDjdf1eGhA23ueKDFTRcH7Njc50N3CpTwaTVjVnsh2oASMNfq0+l66KTGG26d58NfqLP7fMDrbuoTxUvc/fQMcRpw4+UbeN0NHS7e3uarj/V56mSdJ496bJuWTLcEdV/gufYilAKEMGgDWhviJLtYY0MY2wt5GMEggu5QsBIKlrsgnCHX7Fnl7d+2yq2Xp8y0aqx06rS7Nbp9n97QFqrlK0E/lAyG0M8vnGGa/W4bjPueotdp85FP3LFBSfMbr37li838wsqfbZib+ocP8PMrBuUgZs4Ls3j+Uz80HITvXD2zf1bqVXxPkaQpWkOqBcbmIxECpBBIIVHSQcoUpUS2PGtcZfAdQ80RrAwVS+0pPnJXgwef6XHL1au8/ZWrXLO7zUxaI0l8+sOA3sBlEDpEsSJOJEkqSbVAGyuBpDD4nqYeJPhehOeGnF4K+dwjkkOnPI6emkJpn92bPS7bpbju0g7KX+Dpw022Tta54kLYNLfCcqfFlVsliTZ88WGfsC+ZbCS8+sYhn7075sS5Jnsucjm7OuTZIy7bN05x9a4F7n2qy/3PCsLI49Jd01y63efSbV0On13m0Gl4eF+dg0ca1B2B70gaviFwQUobVBljL9YkhSiBKBX0QkFnKOjEEOkEbYZcf3GHt39bh1uvTNk87TMcWguw2/PpDT36A4fe0EqSQSgYDCWD0PaNDsOUYWRXhkGoCSPrOMUppEZy8nyb9334zg2P7J1/Z9BoJP/ud+54f6v+HD//T//FP1yAY4ZggluPqkf/TCy/a9o1S7NNv4YnPaJEE8eZHAGEwIJNWj1uQa1QSuAojaNSXEfgORrPNfiuoe6lTAaCbuiy0pniY/e0uPPJIRun+rz1ZW0u3T5kOOhxxS7D9k2KMHZJ0zLNb/+exnVSjp83HD0nWB1oPn1vndOLU5jIZSpQbJlx2LnJ4cKtcMXuDlou8u7PNlhenuCmSx2u2N3mq08KROKyYUrSqCf0Yw+ZJaOU49EeCs4vCy43dV52XZf7HquxZdbjpium+ZHXL/K+L3R5eH+D3tBlabXJri019mzuc+MlXb7rJV3OLC/z6Xt9lvo+x8+6nD7t4SphYxesxEs1xNqQJpqpmZirLu8ThjGXbg95y8tCNkwopps+cRxwdiGgP/Doh3aVGxTAlhbcoWAYYtk6TBmG2iaxIqvBw8gwjGGYyaMocTh7vMN9+x+YveUFU79/2y2z8eaJ/X/5s7/5J/z2z7/jHx7A3/GrH2TjdCA+c/sf76rL5y6ZC57lwk11wDAYasLYJVSODR6zIFII6xJICSoDuaMkjhI4jsB1UjxH4LmawDXUYkM9MkwEKVM1QT+SdKMGR081+K2/nAadIJKE667qs2tTRJKANhpjbBJHCoFUAsf12H/CY++hgEbg0PQks3XB3Ixkw7TDljnFzs0pe3aukool/uATLY6fmOSmS1wuvSBlkHR54GmfyZrLzIRhshlRr1kppLWkPVQs9wxL7ZR2r8aLr1jlkb199p1QTLYCbrx8kh9/wxJ/+El47FCD3sCw2nU4v9xi02ydDVNDds4M+dnv6dOqt3nqKOw/KXFdg1IGITRg7P8MJAlcsCnllisT0tglTnyMqTOMXM4tegxCu6INI1XIt0EkGIaCYWRZO4xsVjYMtdXbsc7ey+4xDGPBMIZBIujGktUI+v0hh44+Obln544/3Tl3UfJffm7HR371h3/P1Df/9D8cgP+H3/4wV26fVuaX3v/m3/yLhXc/s/c0t109yS//cJc92w2Ok+IMfBzloZRGKo2SbhZIGpRSmd6WuI7VnJ6rCF1JGGn8KCWMDbVYE8aaKDK0EghjTZhAlAiGsSRMfeI0YN+hBk/ug9QYLLStNnYleMrWfDR9uGIztGow0ZBMNRUzkw4bpmHHppDNc6vEZpk/+MQEh49McO2Figu3SXZvW+FrzyacX5rgul2SqZYm8Ab40scoQZJKhDEkacRKL+D8ksu1l9Z4wSVd7n0sYOOUoB40ufYSzT9/8xK//0nNs6ebrPY0q13FworD7GSDqVaNqdYErXrMXCNm57URvpvgOglKpUhhgwmDvajiWDG/4BAnijhRRLEijLPHSBLGkjCSDCNJGAkboEaCMDKEkT2uYZQSRZmmj00WWFaAHQt6saCTCNqhIRkOuWbXEv/hh5e54ZLz9VrTvH/pqNKr0RWfOH3wvenWi3/kWx/gf/An/4OplqcOnjrzloWzZ//8iWfOBr1kE5+4p0uSSn71x9tctk3jqoTeMEWpFEd6ONKglIOSBlcZXEfhOgY3kniusCfBFYSeIoot0OPYECWpdUWSyj2FJDWkqSbNNL7WFOAWApQER4Lrgu8IAl9Q9yWNumKiLpmaEGyYTti5qU+zscon7ou4++lpVhdbXLVDsXOzy8Xbh6RilS8+XKfhOsxNKZr1IU8fhueOOFy53dAPFVdfHHPVbsO5sykLKx6DYZ3X3NDl608NOHha0ahJfK/FlRdqfvWHlrjr2QGfvWuWpY5h54aUlbbDZEsx0XBp1l0aNUPga3xP4zspjrJSS2atlcZgE1ZakGhJkgqSRBAnkigRxLEkjDNpEQui2BBFEMYpUayJKsQRxtW7Bfcghn5sWbuTQD9MIe5z7c4VfuVHF3nDzdDtT7KyeiqI1cwHYnHqH7f1ho8+9fCH06tvfNu3NsCv3yNlp9d/26NPnPnjY0eOBpubLvNDRVtO8Jn7JVHo8Jbb2rzl5R2mWwndfoCSKcpJcRwX10lxHQc3dvAdxdDN2MaVRJ4gioU9ObEiTiCKpXUQktL2S1JNmlp3ITWZU5K5JUKITAJZ2eM5At+TBL6kURO06obJpmbjdMjcVJfErPKRr0ve94UZNgQBV+0Q7NjscsEWzc7NK3ziAcPycsClmxRTLWjWY84fk8yv+Hi7IIwFcxOSyUk4eNSw0tGcWwy4+IKAl1/X5XP3BMw0wfc8lJzkyt2Cn3jdPK6c5zP3TvHc6YCNnZgNkwkTDUWzpqjXJDXfwffAd8FxrMNkbdUKyBFZEA9pKkhSMqBDnBqiBOI4taQQaxs0ZgCPYgiT3JXJLMhEWNZOBJ1Y0o010TBmwu/wva9e5Hte1uMV1whWuk16gzq9YY2VzqlgYFp/embVd+LE/R9YnvnWBPh//ZNPcf8+/UMr5w//zqEjx1uNQJEYw7TWGBRd0eSLjygeeDbg7Moi/+y7eky1YgLfZhxdleA6Lq7j4kUpkevgxYowlkSuTaVbxhGWiTJWShJsNJ9aJ0FrG3BpbfIezgzcFuBW2wtcxwIk8KEeaJq1hMlmwtzkgNmpVe7bF/GBO2rsPzrJBRMuuzfBtk0e2zbCnh0d+kmHh/a2qCmXuSnFZBMmmyFTEwme5yCEvbgGocdyJ2a1b2j3EuZXPHZsavLCS+e54+E++0+3qPsxrvIQYoLdWxU/8MpFrt8zzwfuaPLQM5Ms9Rw2tBIm6wn1QFILFL4r8F2J69pYRSky+9Ci3GB7WLWmAHqS6mx1y6zFRJOkFtxJDFFiyntsXZlhYkmlnwi6saCbwmCQoJMBM7UuP/XdS/x/vq9PzfdYbTcYDAOGoUcYWf2/tHSyVa9Ff3DLzRd5Zw7/1fu27P7ebz2AJ1EXpeSP/bc/+fhv3PPwiZl8EIGnoO4ajNFIIem26rSHit/5ny57D6/whpf0eNk1XTbOhnS6NYahj+cm+J5LGDn4sbX3Is8CPI4lUWKX3TjJPO2UzPojY26JNpTgtknKjLnBUTZhknvwtSChGSRMtUI2z3Y43+7zrk+7fPGRaZZXGlw0J9ixQbB1g8e2DYJdW4Y43iofvtvhyMkGl2yUTDUlE40UKUNOLxh8RyIFGCOIYoedGzo8TEqnr1jpGM4v17hkW8B3vazNR7/qcey8j+vECOGiTYM4kVy3a4Wd39fhi4/1+dAXp3n0WIOtU4LZRkojSAk8ge8KPNfGKo7KLFYpipoMg73ItME6LakFfA7yJLWSzoIdotTWukR58igRDBLoJpJeAoNIk/Qjts12eOm1K7zxJX1ec73GEXVWVmoMI49h5DOMXKLEomCylSLFyZlz8xe8c+el36PmF/rv2TD3fyYZ9H8E4Gfm27QH6kc+/Nmv/8bdDzy7AW3Qwh5kVxn8LLoXAhwh6IiATuTy4a/53PVUl2sv7fB9r7BVcDOTPoOhzyD08F2XKHGJYqcIlJJEEaeSJJHEqSBJJGkqSLUotbYWFKok+7tS2GSRypJFnqvxvZSan9CshcxO9hjEA776tOGvvjbBQ89MMuW5XLnVsHlasnHGY8ucZNvGiAu3rvDUsQGf/vocE8phbkLQagha9Zh2P+ULDwQ0PYMQFliD0OENt4R8/kFbE9PuaeZXHLZtaPKmF/V4aF+XvQc9Gn6CksKCXNcZRlbr/8DL21yyeZ4P39Xh/ucmObFSY1NLMBEY6p4mcDSeC47KkmMyZ3LIy490JtW0Lle4JAO6JQiIU0GcZsBOBcPEsnYvxcY8UUSj1ud7X7XM217Z4bpLUjZOufSHDdpdnyi2rB1G9pwlqcIYG+sYI+kuPbkh7bR+Y9POb9NpvPxe5U7//Qb48vIqnV6Phs8PfvZLd//2Rz/2lZlOe5VmIAtQISyL5M6FIwyeEHSVQ99tcKrjc+bBOg8+3eOjV3V5y8sHvPqWIdOTHlHoEyYuUewSJw5xBvQkVSRplrBJS4BrkzG3LmvKhDBZUGnrOBxH47kpvhdT8yOatQEpA77ymOQv75zkmaMTiNjnginD5knD7KRibtpj06xky1zMjk0dTi50+ZPPNkjCGtu2CSabDq0GtOoxwo3oDBpMNg1C2OxsnEimfUWiE7qxR7efstJRnF6ocfmFTX7yO1Z55//wOb7QwFFxdmE4JEnAMJJsmvG57qIOV13Y49njp/mrr9W449FJzrRrNHxF04OGa/Acg6uwAbvMcwvlTQNG24su1YLUQJIK65+ngii1SaJBKhikMEgMSZKg45CZYMBrXrHKW1/R5dYrYyZqLlHcYKXtE8YeUWxBnd/jRBHHkkRLjBb2YkuXOXHwzg2DsPbbG7e9KFlePPMXQa1Brf53Nz/x7xTg/cGAiWbjjXd//eE//MLtX245aZuZZpm80cYgU7ICKjIb0F7RXqoJlKCvPPqJw3wY8JkHG9z9TJ8bv9zjX3x3l8t2dNgwqWjVHaLYI0pckqQEeZoDXEu0kRhD1u2TgztL9Stjk0VOgu8luCqiM4hZ6MT83icCjs5P8djeSYz2mKkJNswaZicEMy3FzKTLxhnJppmErXN9ZiZX+OLjmkefm+SqbYKppqRZl7TqmkYtQrghvu/gKPv3jYE0lQxCh8EwJtGC7kDT7RmWOy7nllrcvKfHCy9f5cNfDqgtKxwZZ8fPIUk9otj2eM5OBly/u8f1F/V4+KVnOL4g+cAdk8yv1jm15OMpScMVeLkMkzbwLIg8lypYJk+MINEQa0GYwjCBSBtIE0hipArZMjXgqp32fNxwWUqr5pAklrHD2CNOnIyAFFFU2pJxIokz8tEZ4URxjeVOwun5u2b2RP4f7rzwupVwOPj03yUm/84AfvDQIbZu2aQ++KEPX/T0M/tb4aDDVMshyTSezqyqVILM/G1HgiOF9bgTg58K6kowcAR9x2eQuixFNe54dIL7nhvQ8EP+8WvbbJtJuGDLgJuv6OII2yImhJUrNitpa6VtsVYGbgxCGpSwnrkhAZnw7FHJI/scPvdQk2dPNImSOk1HMVczTDcMU3VjffCWw/SEw8ykYNN0wpa5AZvnVrj7mZB3f24Dmycd5lrQaihaDUGznlDzQ+47oBhGDm7DgsoYQZRIAkdxzSUDHnx60hY+DVJWOy6Lqz7nF6f4yded59TiEg8+MYcrARGjgSQDUBhJegOHqWbAZKvBCy/p89Kr+nzfbQvsO6n5/EMBD+2rceBIg0Q4hKGiHyuUkAghxgLPLCdgNIk2GK1xRcqEFxEQ88Jre+zaPGTbbMzbXx1S8ySNmksU1Wl3LVsnicoIR5Vee87a2eqaZLGSLmxLiFNJGPboPnxf6+Sp+Yte9dq3qKNHDqW7Lrzo7w/An3zqWZRqeI8++sgPO0r/Tr+3ykTDrfjPJlsG8+4YgSMhUQaVGlQCrhR42uAnhiAV1J2MRVKXQerSTwO63ZTf/vAUJonZODfk8h1DZiYS3vLyATs2RMSxyPS2hApzk+lPKTVCCj52V42nDjcQjsPxM3VOn68T1BQTvmCyYWgFmlYAzZpgoq5oNRVTTYeZSZidTNg4M2Trhg6pWeVjX28x6DW4eJuhVVc065JmTdMMElw34osPBoR9ibvBdovmEqVRU7zmxgH3PK7phZLeIKXTd1jtOpxbqnPZriZvubXDY8/WOb7cREkNxJledolT6yYNI0lv6NDueTRrdRq1kMu2Dblpz5CT822OnV3FcVOePOLw0a/VEcoWrjE+f9BoQIMxxFHKzo0Jb335gNlWyp6dho0zkCYuYdQkSVxWOi5JrIjTcgWN4+wxUVlMlBeyZQDX1n/PY6M00/hhLFk6u0LQjH/nySce7l915fb3HT/6TLRz15V/PwB+7PgJXPf8JYsLZ9717NOPStcVCOGgEk2SGFJt0Kkh0YJUGhxlga9SgSOtToxTg5tCogR+agi0IUkFkTZEqSDUkjCVRNol1rDQa/G1pzSGlE89ZEc2YHR2z7N4mUUm8opEiVSKJHaQ2sF1JE0fds0ZGq6m7mvqPtR9QaMmadasHJpoSqZaMDORMDcVsmWuS8oKv/fxgHuf3sDuGZiqZ+xdlzRrCfVaRKM+oFar4yuJkpkGx8qBOHYZDgSDMKUbKnpDTXegbctcw+PU+QlefHnIP/+e8/zuRx1OrPoIoTEmRqeGOHGJYskwtGWszYFDI/Co1wLqfp3Aj2nWIq67OMJzY264OOHtr+jjqCRLAmmEMKOiPJN0WkuEkPiuAjyGocPSimPrdtI85snuiSxjoEQWYI7TPKGUPWb3NBUWBynFe3FiSwEeeOhhGQTiXY4cfH0wGD7zd4HN/22A3/6FTzM9Xavt23/kzXv3HRAGm2mUQiOlIJbagjtj61QJ0tSgFDhp7sWCk0XvaR7Rp4JEmzKy11Yf2rsg0pLESFLtEGufNLO9qrciS5m5NY4EV0FQMwSOIVApvgu+A4FnqPmCmiep1yT1wLEAbwgmm5rpVsLMZMiG6R5bNizx7s9pPnTHRrZPKmabmlZD0awrGnWo11KatZizS5rDZ30Cz8YbkFf6CYaRw65Nmk2zQzpDj8HQZCwuWe06NGsBzfokb3/FPEfOnuNPP70VRzoYNKlOSbQhThzCSDGIbFFUP5DUhw4136Xmp7S7Nsbw3NQmzNwUR9pGCSltOl9kd1u6Yl0AC3JBW2dVltrGNWkq0VqS6DLesSDNA3xBmmZuVlpmTFNdBXcWyOYAz3IWcWK9+6effkastIdv3rDpgsOf/NQnB2/6zv+9Rub/bYBPtZTXWT3/84Pu/M/X3FhqY/1nKSUyMSgpSFKdgdvKlVSBo0WRiHGU9avTPPmgs5/TVO6mTLNnlXLWyxVFoFTV3EClQQIcqa3mV3bFcJXAdYz1jR1B4EsCT1LzFbVA0axJmnXDRCNlspkw3QqZneqzY+MSDx0I+fBdW5gKfDY2Na26sOCuSRqBphEkNOshD+2HJ/fVuWjOZLq3TJsPQsUNewwX7xjw8DOT9EPDYJjSGzgZyF3qQY1aMMn3vmSZJw/M8+DeTWAUWqe2HDYxJLEp6kkGoUN9aKgFisDT+J6L76X4jsZxUlzHlhgrZRtG8sI2hC1OzmmhDM5tCbHOHSmd268VKzYDdlKAWBZATp+HtdOU7N8zOzLLOmsN5+YHMjFn/0NqAq9eq/8aEH3TAD4c9mUUDX/l7jv+8l8Nume8Rs0lTuyHVlJk4DaoRJAqkwFXF8mFVBmc1GTgFYVGt6yRZx+x7JyBXGeZuDxZYYyhknkfWXHzVHWe0FEyy1gqKkVbNvvne4rAV9R8Qb0maNYMrXrKRCNhshkyMzFgy9wKD+4f8Ct/vpETpya5cFYzWYdWTdGoKRoBNIKUWhDjuUPaQ4OSClcZpCw/mWU0SZx4tGox/UTTz+qs+8OUbl/SrinqXZ/Ab3LBpphf/eE2v/x+yQN7N2JQaKNJU02SJkSJJooVw0gx8CW1UBF4Et8z+J7CdzSua/1+RxkLcGUBrjKZkrcHFrcstW8yEjFZLUuaAT7V5aM9Z7IoASgArkX2Ov/OJZElRXxWZlOT1GZSDx0+6WmCf/tPf/IH3X6//0v1ev1vnc7/WwN80O+g0/jXDj53z093Vo4HE01BGGmUsilzlZSgSqWVG7lE0QWo80xaCfIqsHXh0YLRxnaRZ0mi6p0xgGeyOwssrURRUlhZpMjS8gLXkfieHQAU+HYkQ803NAJNs57SqsdMNCOmWwO2zK3y4L4+v/y+WfafmGbntHVYmjVJoy4te9cM9SClHsTEacQHv9xEKoUrDUqUNqE2+RLu8gOvWuFLj0Z0I982WQ9TegNFt6do+w6B5+O7LfZsT/jPP7rEv3+f4P5nNmJXSptWjxNbaBZGmjCw5a6+Lwhcge/ZzKbnmCJj6yiNVCbrkDK2USIHeJnyBDISweYSrNuSBfI5gLOpA7pIrmUgL1ZeUa7Olcd8lU4ywoszcMexIUwEew8cCz7/xbt+5o2vf6Votzu/MDHxt5ue9bcHeGcfGPPCzsIDNc8dYIybNQxYQMUSVGJBlaSgUmH1dxXUqUErCrDrCkPb59mjzljEmIy1ycudMWOfKwd4XoOhinpyUdSRW4BLXFfa+g1PEPh25kndT2nULLhbjYjJ1oC5yTYP7evzK++d5tnjs2ybEsw0KtIkcGgEtn6lFiTU/AjXDTm9NIWrBErqzJYrg8w0lSSJYvOUIUliOnGQdcrYHsfuUFLrKwLPxXMDXGeCS7cl/OcfWeAX/wwefG4DqZYW4KkhTtKMyTWhrwkiydBThQRzXXAdK9FsnYq1aWXujWeP62DcyhWypBCiSA7pLDmUZ4vTtPJ+VV4WwC5rgtK8BkYb0kyixIlt+o4iQy8M+cwdj9Q2bd/1wv+dHSf+VgB/1/s+xzs/4Nd/+nV/6E3WQqJaHYG0B0QIBAIhpV0CUwuytNDZltG1NqQOBdhHgZ3LEFMA3eRyJH/+PJ9NirKIyjZLiALcSsqsUSKXJxC44HuaWmCo+VY/12sxrXrEZGPA7FSbRw8O+ffvmeLp43NsmVTMNTQTNUEzkNQDRb0mqAX24rCp/ogH9wp6Q49AkV1kWfbOlIFmnDg0AsXNV3R56NkW/djKlEGY0h8our7C9xSe62X6eZLLtmt+88fn+bn/Dvfv3UCsJbHWWbN02YMZehLf05a93bKO3lH5nUymlDJOZlne9UCeJ4VMDvAM8GnhvJQFXNWVV2fGQblKjxJcoimYPM4/f2Jr0U8cXeUXf++T3kMfeVX97JFP9Tdf+J3/5wF+6NApdl+4dfIP3/OxPzl0In5Jy48tGzgGT2sw0mYqs2U5yfRvmiV5Ug2pky9poJVYn7UrgNYFsMumYDLtXZyMrNZFyAzcWZGRKgAOKqsYdB3wXGwnkJcVWPkptUxeNGshE80BU80OTxwK+ffvmeLJYxvYNOkwV9dM1KARCBo1Rb2mqBfsnRL4Cc36kLuf9FhtB0xNlWnyHDA606Zxqtgwo3jFC3rc/Yi2XTSRroBcEriSwHVwHQ/HqSGl5rLtht/48Xl+7r8b7t+/gVg7xFkFoC17tUzux7KoLvQcieNkRVhSoJz82FB8vvwizKWKyKvSKBNC43ddeSwTetWVt7JamyrAc0avljVXCr00RHHC7tbqS5555NSf7bn6e9+xcO7E6tym/7Vd4f6XAS7TE5w6dvbnZvzjbzt92mHzBg9tRNaFbrLxxTLzWgUqtSC3QWWpy7Sq6uwM7FlyJmfvkUBynLkzpOcZuUJ7y7yCrtTdecWgo7D1GY7BdW1jceBpAi+lFiTUg5hGENKsD5meaPPYgZCf/++zPHFkIxsmXTbUUybqJgN3xt6BpOZb9g/8hLofkeiQbuQjlMTNGbzQ4CJjt6xALHZpeENbLhAFTOUgH6b0PcvgvidtTbyTb0BruPICwzvfcZ5/88ea+/dtJNYOYSqIUp2xuCCINb5r8Fzbu+pkcYejbImwbQO0x8nKFFFZAe1RLS7MaqwzBu6ChCrEVAV3DvaSycsCr1SXVYx5kZc29pjNNRVxZ8hnv3r6bcvR44fjJP7F/6MMvvfgcWJ/x8726d+9avvMYXp9l2GYsaiw6XfjgBAakVoWTaU9mDawzLSZqYA7C1JMHkyaMhArmaLMSprqmpmzdjWozJfbrMZFZcGU42SdQVkRUl49GLhppptjakHIVKvPRKPLg3sTfuHdszx+ZCNzEw5ztZSJwNDMwF0LrJ2Yg7vmpwReQqsRsfeY4a7HGnhS4iqdBXGlR5Ev33GqSLTDy66LuejCHodP1JirU/Y5hin9YcbCjsJxyjY+IQxX7ITf/IlFfvG/a77+7BzDuGaTYYmhntVw+y4W5E6+eulMokikSosVTklRAbiogJw1eqUEuRkFuCllZf7eevFUmr0umFybwjbMR3dIAYFrL9Qv3XeMlfjeq379F/7JzmH3+PGgufPvHuBnzpxjamrignsfePC/Pf3M8I07pwZMNwKixH576zWbkSAvlyRaZwmeMXek+ljaUdkyPu6SrHFLMuYeB7cwSJU7OFnNi8pY2zF4jsZ1Nb6r8b2EwEsI/Ih6EDI90Wel2+eeZ+A3/3ITTx2aZTYD92TN0KwJGoEovHLrvGjL3p4FeM0PidKU4SAgUPYik6Ky9JNrVpEFmo7V8k5IGBkGsagAXON5KZ7r4LoSR6miVzXPQl69S/Cb71jht/9Hwv37ZjjTbjFsSCZTQzMxBNnEAd81mfefOymmYO9cquQALz5v9qGrOC8UYnZSypW1Un5bBXvlvfw856UbBZub0WBUVwKsOJEETo8LN6y+8ciBR9KNW1/wM4vz54/Nbtj4dwvwhfmT9DrBTUvnD7353KnzzPkTNPyksJdMnhWTApkKtKx6pXnEXanP1nmSxow+N6N6b5S1R1VhfhJy98ayd+bkSFMZDmTLYl1HZ2Mm0gLcvpeBe7rHwsqA3/hgnU8/MMdib4q5CclckIE7sLq7ngWWNV9S903G4FZ7B34ERNz5hMdK7DHjM1KPjRhdodLUNj+0fIeXX9vnwf0R3dhnouhY13ihrVX3HAtwRxmUdBHSJmgwcOl2ye/+iw6ff3DAr713I6cWpxhMOkx6gmaiqSfgx3b0sqfsQCM3DzSlKILg/LEaqFcvTCGKXpGSxYtzVQF7xe3SFalZMnlVq5eMnr+fY0BgL8apus/+vSeZmjjw5svCxgfD4eDY3ymDh2Efz6tdfHDvA/8y7T/HFbskzUBjjAWQyDu4syhbSwtkpctMWKrzFHAG5gLUuQQxI9JkhLWrsiQ70Dmz5Onm3AVQOcCVwZEW2I6y4HadFM9N8dyEwIvxvZhmbYDj9Ln7yZQ/+0KLz927gUi32NASzAZWllgLMPfJVXYXGXNX2TvGcULue26SfuSwuZ5/nnEGz600SZwoAlfxwssGJNoCfBAL27Wed66H2gaHjshY3F7IIkuuGwSzk4K33daj6Z/hvV8YcM9zM5yLa/QDSSsxNBxjQe5kcYgyWVxiMpDnx1CUteMSJCWLV3cUrJ6Sgs0ZXXmrcZSty2eU0c3a1dxUzrfIJh30QzhyWrJy55PMbrzwX77y5S96vNfrH2z8DUbC/bUAX1k6SfvMZ3D9yS0iOvzS6cY5TMPPln6bESv7ZSyIjcy1tRgFc/ZefoJHtDal1i6BXbEeqvaVMGPSxBSujZT5aDed1Xxn4Fa2FsN3YzwvJnAj6vUhntfnL+9w+K2/2MDhhWlcP2BTUzDtp7R8Q8OHRtZhX/NttjPIEkK2fiXNVgIrTxY7Kb3Iw1MKT5oiwKTyVfILO81qNqLEpeYO2TQ5YLXfZBCLbNyajRVcN81sPpXZnSqbG1MNXG3l4xtv7XHD5Qv85geGfOiLcywnDfq+S8OVtBxbg+M7tnUwb4Zw8qRPtvLJQqqUCaAqqYyKlfXYnHXATkWbj92rzF0tcRalpg8lnFla5gt3733piYVky+JS++Chwye4aPc3dlX+WoAbkxLMvOaC/spT7x6sPsV0KybRgBFloU4lCLFJAZHprWotQ54NE5UAUlSWpCq4K6WulZvAlGySZd9kFeDSoKRGjjB3moE8wXOsJPG9EN8dcOx8wp9+vsEnvz7DkfNTtOou0wFM+SlN32Sp9xzcMgO3LJJCQaa9fc9eOK1GyCfuczh4vEaQTeAq2sUoUV6McTBZcVLicOlOeP0NXf7s9hl6dYdWNnvEj7K4QWkcJ5/wRQXkbuVk2VVhx6zkF76/z1W7TvHfPzfNkXMTLCc1+q5DQwnqGdA9aeyFk7lMxeqXH9fcPsTq8zLTadb65Dnz5qUTZpSRR2xFPQrwAgeVn80BnsskgEHkcM+De7n1xsve/cZXvOi1C8vdv1aqfEOAp2mIlB4r5x/YNmg/uTuNV6kFDqmO1wVgAdKCqUX54fP3yNlblIyds3XFBjTZCSNn7MpVnQPbPuajlC24rWuSs3eK6yS2c8dJ8P0QzwnpphHv+ojHez+/idNLk2hVY3pCMe0ZJjxNPWPuepG+l1mdSiZNMu+8ALdns5dhHHHwlE8v8pnyMxcnTzrlrkSehTWVmpTYodVw2LUtQvlDulGTgSeoxXYkmpfJKzeTKE7uegj1PMGrYm6iz0++sc+bX3aO936+w59+bIbFQYOBExA4irojqClbf+9l3T55nX6ejc6znGuYnFG5UoB7PTZnDNwVUiseKY2GAgsjuLL3VCt6ix3uenDfbi8Itn37K647FkYRvuf97QBOchLUxFyjln5kmH7ZnWjZSjatZQHS/MCWDFxl5xLE1RayQmdnX7ZkbIFZ94OYih1oCmCPyBOZVcmp1ALcSXFUiufGBF6E50a0hxH3PSX5yztafOzrMwzTJp7nMeMJJj1NwzPUfUPdK8Ed+BLfl/iZNLGJocyZyADuuTbzefSs4Z5H60Sxi98wawLM/Fams20pahQrXNfhFTd0+fBXeuw/1WAQ2NEMoWvwEnBjjRtplJLWt5Z2IGkx3IcSPKm2vY9132Hj5IB/8719LtsR8qE7mjyyd4KFQYOh8nBdh8AR1CT4+YCl3F6VJht6SgXkozUr48VZlYeCoPQY0MfBnctUzTqsX2DLWsuxFkTa472fe9S97aXXfuT0+ZUXLK70Fv7WDH7nkxvl5sZjN+2e+NjERH0JJZvEqS1819nAyipTFyySVZ+NMDjZe/mHrlwURS1yhcFHCn9sj45l8iKlrCtzDHUWE9jJWEqlhRxxnJh2L+beZwR/fnuLOx6bYLndRNYCmjXFpGtoeZq6a6h7hppHxtqWuWu+JPAUgScIPLIKPZ2BW+O7Vn8rJ+TAKTjdDmxiJdO3o4mTko0sa2W10loSRQ4bW4KLtw94+kRCP3YJsxnfXmSnEbgqn6ybJ2pAjtVplO1geW22rQ9/6ysGvPrGFb76eJf3f7HFI3tbLHXrtKVHz3PwlMCTAl9iezil3aVOifIiVSIr+12HwdfUr4wzeU5ujII4L3kunlO+lz9PgUgLYg1xmmL6ff7gA7dP/NbPvuSm66/YfTvfYHjQNwT4sHfaP7Ds/vEDJ081XnplwpbZPmHkkWqFTlXGyqMgr9YRj7yXA1uvZf3qFT961KrSxIwU6FtZojPNre00LJni5W6GjFnoJtz9qMMX7m3y6XsmmO80EEGA23RpOTDh2k6emksmO6Dmiewus5LTTHd7Aj9n7xzgToLnJQRehDExdz7mc/xsjdlpgSt1pmNF2ehbYTszUm6qGIQuOzcKXnFtn08+ENGLXQaxIHANXmJZPIxNZZVShV+NkCMyJd9WsWhU0NZvr/khb71twLfdsMSnvt7l8/fWufupJvPtOgPhMfAcHFfhCIErBa6UuMJkUsugEBVpOGofrkPmxbnVlUdDqbeLmhWyoq0M4KkRpBlr5/NbtNYYk0AcsntTh0s3Pd24aMstfwznLwMGfyuA792/j8WlLu/+oMe//mGPn/uBPrKTkKQuqVJ2j8qK3raAl6MsratsLSp6uwr0ik2SHaLqMigqwBZCZ3agRmQAd5wUz4kJgphhmLL/NBw7o/irL09w+yMt5lca4AY4LZe6kjRdQ9PR1FxDzbUZs8CDwLUzCW2ZqazcRfbvJgO5LkDuubY97fAZzdNHfXDdbJk3lRS9GEFBlb2K+unUjnO+clfI5dt67DtdZxAI6onAjw2hIrP2dMbeuZuSW5ClVil89syK1Fpl0wdchpFLrRbyQ68JecPNq3zp0R7/8yt1jp0J2He6TrTqk/gOQ8dBKmnT+YCTPeZMXkgXyuB/DZNX3RREhaFL2aFHgJz/vLGYMFlEalLQCegYuhFv/e5lfub7Y+LV/ZxfnfxGEH5+gBt9XITDwb/8qw+/Z/ZHvn2Vq3cnREmKFwwJVEwaK6JIkWpV6WKXmQyRaxi9CnCqkqb4v/LQCFE+irzbJGdtobNdHlJ8305STdKUc0vw5a85HD5V466HapxeqXH4TAN8H1V3CBxFwzE0HG1dBNcOzg9cO67Ngji/y+yuMoCTae4M3G6K71r2thdWxNEF2HusjitH7cFColDWg5duQuak6KyvMXG5fOeAizf0eeZIQj9xacaC0AEvsTMBVQXgUmZVmxUmz5myTKSIIpjN+yjj1CV0PVq1iB94VcitV3U4vdLhzoc9jpz0+dJjdc4sBaQDFy0dYk8hpLQrRdaVL8kynlDIlpyQxp2VXJblASXFoy7GyTEC6LwBOgN3pCFOEE6C48c8dVjwvi/V6PWPzn77a378Xz781Jl33nj1lnXDt+cF+L33fgZI3nbp9mcbF21b5vYHAt7/yRovv2XI5RckbJlK2X1BRGAkSSyLJVFriaECeFMC2upsUejt/Jofc1QrEXvJ2oUUUSmunxKnhiMnBU8fUXz5oTrPHPV47miNTugTRj64Hqrl4itBXUHd0dQqPrDv5HUaedmsrQv3M1nieQrPk9kFYErt7aY2s+hanR94MUZHnF+WhMbHcSSeNDgVm22MwAuQp2a03zFKXAQOc9MRUg3pxS59R1inIy4LxhylRzKQMjepAfJhRwiMliWTVwYjuakqxk/0Q49NUxE7NsZcd2HIIBrwj4+2eeaYx5cfDHj6aMCREwFxosBXGKlASFJZyQYV9P08WqWa4SoYLW8ON6OA1saC2miIDQ4pu3dFbJ2KuXRXxCtuGfLcQcVHv9xCi1ON7Tu+9DbPVe/8X2Lwvc98gEOn+up3PnhM6KFLtzfHwaMeqz3BVx5vMOFqdmyLufLSkFdfH3LbtRGYFNcx1JpgtB3bgJYkSb7Ntg0VCwZn7cGwGVE7v8R1DAiNkIY4MvSHltGPnZL8jzt8+rHiiecCDp30Wex5hKkHjgfKRbUUnhTUFNSVIVDYcWYqKzxSlrU9V9ikRxXcrsTLZInvge+RuSY2Ze46Gs9NsoxoTC2ImF9J+fL9Tdpdn6kJgZN58XnR1/h5L861rgSEWhKGitkZxatvHvKlRwacaDcYuNLKFAfcxODGuWedeewytXYh1Vknsvgb2jiVv2GB7qWK1FEkbjb2IXatlerGNLyYW69MeOFlIW966ZADJyVP7nUZRIoPfbnO0XMuCEl/4JBGKi/fxDg5wMcsoxzgI2lpXTwXiUZog8GCu9awCTmB5uXXhrzq+pAr9kTs3Joy4cLspGb1Bslrb0po9zvsuWjn5dMX/PI7v6vzI/9murV2Z/p1AR4lgu0bG+8aDjtX3/f4dCaXDdQMCwPNQldzdDnl/mdSPvqVhNmpBKM1114S8dZXDm3RTGKYm9Rcc2VEI8guUmMTHmbtISD/FyEN7b7gyaccljqSWiB5aK/LZ78eMIwVw1hx9pyHFg6xcdHCBcdB+A6OlHhKEEhDkAHbVwZfGVsD7mSer1Myt5f3ZRbgVlmPpijY23M1npcXaKUFe3tejFIRX3tc8ckHmijPsXbbiP5+fgbPvfCyG10xHLq84ZYBn76vw4funKCXBDQyHe7mOjzOkzKm6BYSQhYAy8rfKlq/AnCdzShxLJO7jiJxHJwktUBXKUrZQfpTQcItexJu3hNjRMhbbuszjO04t8983efhvR41X7DYUTz5jEenLzOVJNY9w2USwMqSRmC45gUhs5OpLcBKDW995ZAXXBxjtGBuSjMzaVBI24eaKoZ9iS/guosEqdYcmT8UHHnijqv+xgy+uNxhZqrZ+k9/+NE9J0/XFJ5EyCwQNBqUXUq0Tgi15lxbc241BZNy4IThs1+z/260YWIq5aarIpo1m25dNztUvcwz12G1p3jkaY9OWyEdaWeiGMcyk3Cwc4EdkA5SSlwpLJilwZcaT1ogeAo8Vc7osyAXZcODYxsB8sbjKrgtw2dltW7O4GnlnuA7McZEnF70iMIAf0LiZWlvJSh85CKLKYrzO5IPKLrTtSKKXaaaiu2zEZ4YMkh8Bomg5tghmHkNSZ7QUrJa3iqLv2X/RuZyaV1mT7XOeiZLaZQkaZY3UNn+RwlxkqJim0twVIqUCdtmdbZiaC7bMSQyA6SjabcFjzztsNqXqEKxjAbVVTLH2OaHRmB44dUxE5Mak1oZW1MClX12bVzSWBJrVcjf3MiwNrVhQyth29TZ2vT2f9xKonbH8UbnGq4F+OIi7dWVd548cvI2kpC5miLUgshAYrJ6XbIIhqwnKQsMEjTt/H1p6KwYzn6t6oyuB/CqfstOjhDofGghWc2pUGWQI2VmZeWgztLOkmzj1tw3rjw6WSe9Itt6jwLctq1L4WXg9hyKElPL4BmLOxovy466bozvx5xc1HzgSw1wPDudS1YSPCPgGyWynF3zIaEWbHawThS7vP3VAz5194DnzjfppS71xG5Ka6sATdmJo/KcQDXYy0sXcykkKwVe+V0XtTCOo3BTOy/FzYCuZJk0s3Xj2XOhs2aWFEcYhEmZrWu+/cUaRFoU3iHy/TPM2vNdQEJgtINOchNCksSCOAOyNrKIIyy4VTHCIk0VOpUMQoXuzd8m6qffqXXyT/9aBv+Lj9yOktI7dOwMNccut7E21mg3meFuBImQaAxGujYKNqk9msqUesQYUrcKbDP2fStnXghy06kavAgpixY0JcAVNq3sC1st6Er72pFkNRVZ93heSORQmYNCtjNb2VVfAlwWssX3TNHS5nm6Mjgnwc3Y23NipIw4fk6w0AkQjoMvGZEnRXq+YqGNOAqVwrMyELQz/mZaITs3Ddh3LmSQOgxT8FOBmxrcJNPhCYWzVB5GNdKpkMd0FjCmLF0upJHGSTWpkign375cZcVqabZfUnkXUqMykIv8b6PHrNyywjR3wMqLuyh2to9F9Wh1WGoO8LwCVVbuyvrk2TQtu+HBSU4e+rS3Xr5nDcC/9MBRBLC6MrCgUAZXg5s1lMb5XWbTSI191IX/bYryyRHmfj51kjUpky/lhQWVe67gCHCFwc2aKvIaj/x58V5G9mUpKEWDraeEBfsIuKV99HKg58FnBu68+8fRhURxHatPPS8mIebz99U4v1DDnVB41RqOqoPCmCIdT1OPJX2GoZ1g+7oX9bjvqSGdJKDvONQSTZSl05UsC6LygjMhNGXnUB5oVrKEBrTOZqoYsiYUgaMFiRI4qcx2sbO1PEkG9DKZposEm5S6knjTI0m40tqteGTPE2gXKw2VBGGe9TYV9tbCgjubtpVm04S1hlpthcn64+sq4BGAf/xTdzDRDF78wY/fc8O+YZckazGKtR2zFmtwtMHNmhdSYyzAs2rBlEpdQSVjtS6u83ueLBCg8kdhcKCw2lSWMrbzTUqNm0+otY+iGIVQBXYxB0Vh+xHXA3gecOa628llicn09mgtuefGeG7EubbmsUM1cDycTJ44lQKlPNsnxhBuT2al6q7oS5WFJx7HLtdeFDIzOaC9UqefKOoK3MR+F5Vmg0vjKsCzdsHiD8mxSk2R9U1mgFGaVAt7PpUkVZpUCZIM5NXitbwcQuYgz0FdmZAlsKxeljQXPL22dqVY0Ct1SEXxXTk+Lv+sxsixuCH39QW9oaQb7bhhavMrX7z3qbfde9nVr1gf4EbH9Id8+0xDX9MKYlKtGCZ2+msssA3EQqBE1iGdF/dIU8lCiUr2quTwKrDHAW53F2aEufORa6oC8pyxnLw2IqsBz0s9bXNx3qliZYkquldKYOfNt5a9M83tUOjt3BK0jF2C2y2qE2MEMZ/7us99zzSRvoMnhZ2/XVQQlm10ZcXfeDazWjOfe+I2eTYYutx8xYDX39rlTz/XJEp9eqkkSO1YBUeW1YqFTJEyY/Hqn3o+JgftyKwRWBTgTpVEKW0ZXcpstISulCJXa4BMCfJ1GLyUTWYMAIYRLQ4jwM4/ry70d/X4ZMM9EzvNdhgruj1DLfKuqU0Pvl2nyb3rMvi5c2dpNBqvvvPOr31/ErWZbjn0hlV4ZoU2qT2JqRaovCtjvfLI6n/6PIU5ObhzAMgKKCRlzUN1tEHO3HYLkvw1GYNTtGGNsHjWDeOqUXDbcQpjzJ31bHpZe5vr5A0HSeUeExHzP+9skRofVWQvqwFm2deYOxsjGpyxdj0t7SiNNA82HQQub315nw9+PmRVxwzSgEEqcBMKFpfSIBNRFJ1Zu3Bci8qKNSkqIBekjil7ZpUmdQxKW7mSKoNKbQWjzR7LojS5tCir1Z1lGXPRlFIB+vOv55Viuwzgo+XWObhFwd5xIhnGin42y/Hs8gpus/f9L7zlZXedOXPmS1u2bBkFuE5j4ii8SDLY7TshzbpDnCRECTh23EkBTqnJWLxk7Grz6bpTp/LlumKCV+VJAfSx8sxCi49pzhz01dkeSolSi2cVdyPDbjJgO0qUTkphB9qOe9uYbDLmLgNMp8Levhvx2CHJwTMBRrkoKfGkxhmv06gI8HEXJb8XHU8j7X0W5HHisntLzOUX9njgQI1YeQwSQSDBTQ1OIjL5lnXhJJkOR1q5MAagksVFRRrlfZG5u2LrXdJ8dnsm/Upw57VAJisTyJmcYvUQFXAjyolZjIB99HDkDatFttust8JlAM/KgZPU7q7XDx2On+4xs7m3OwrDi6Io/tIaBvfkPMoEbJ1d5bJdQx5+1iVJs+s/lwnZ0iIoK7/yncvy5W/kilx7jVaYu/K8CvQKuFVR813abqVkEbZ7XpTgtkGmKLrFnQLccgTg1eE/ttueAthFtrJg7hTPsYkd2xUUY4j56J11lpZqCN+xvnv1IhyvQakuXdVSUT3KqiMaUyvi2GF2WvI9r+jy2KEWYRrQVx611GrxvJxVSTJw52uFzjzxStYQOaJ5rQQwlQusOslXonS+IpniuQW4zL6nLtrm8i5/IWTZHDEC8rJorjgUYpTNR2uTxEjsUAz/NII0jx+0/a6OgjhJOXAqIpjpcuGJJfr9YfF7C4C/+4N/jpCSXm+VYdjn9MoUvaFTnB0pLIsLYXdMq3Y/j0sSs85yVD3JpfYee6wCusriI+PFSsaWVQZXosLiuVyRKGcU4J6TDQBy860DswynY3CLVLzOnqcjd0fZzp3njsNH7mgSSg8lVZa9HL0QxzOYay/3/MSyhqV0xuBJ6uCnDt/zqiF/fnufp47UiJVLX0q8VGfukUCmpnKc7GSDvOwhW5+zvzW6b1GVyVNtV2qds3iaj5Wwo6+LYZ3FXBZRXNDJmB4v64hGO4FGAT6KkWoXzyjIqQScZfAJ9sJq1hK2boi46tJlJmr38NRTT6PTUqI5ACdOnGb79i31H/iZP9h1z8MHSGOfLZOKZmCyvR1Ll0ODDSpGIuAxzb3Orbo0jVzZY+y9vkQRBXDGxyHLCmPnQWY+tclx8k1eM+2txsCdp+/dvDFZ25khRYtY3tOZZPcY5UYcPO3QjTxQTiZPzFh57PiFO4rw0YFGY154tvyWiR+HhivYs3XIUwcjUu0z0B5Bamu2nUyDK2GHV9rEUr5aavIgs2TyvAgubyUEpxhsat9T2s60cTRZB5FB6nJCQD5dK99vqeiNlWVwKaStPCqblUe1+HpSpZoXqladlhK4bHsUhR2r2bFRc90eQa02xKlv2DW95xfq3/ddv9CfmtlsAX7u3Hl63c6rXnHd5p9bOL6POJHkk/+q3mIOxqLZvTrAYhzfZgzUFfYuQW7zOVUglMAu+xhVhRXVyFDNHOSUNdKqAurieZbkUWReuAW3BXA5FMitypMqe6usr9OLWO5q/r8fb7I0CBC+a+WJNCOrSjk4Z/2KjBGgY8tmja4wlZZF6j5JHFp1h5/6ri5ffazFUugRSYeBlHhZD2U58iFj8LziJ9PFeRmtQWfg1pWS5rKDxsmGNOVBeg52JUXG4FYSpYWLQiFTSh1ethOWMiUPPPPjUb5vKtjIcWPWOU45y1eJNO9x7Q09OqfnGAwFW3Zd+nOhd/DeOB58qmDwkycO4HkeYe8sF2wUrPYkK72UJB0zQow9gcUH+AaMnV9lVVuw+IJj7Fa6KKIEuRyXKKODaQpgS4FU5fgxVQG1IyVOJkmcAuC55tZFUOk6ugC36+T1F6Ps7aoYz4v4qztdnj1cA+kipcTPS2Mr1maxR3z2JZ+3mrDC5sVOFRWZkmjbcpYkLlfu7vPGWzv8+e0B2vEZSA9fiiLpo6QgLgK6tUwuqkxe7bCq1MRoBcrYVUEbYcGdTwnT2DF8xViJchZNOZnW9nEKOQrw3BGrEhsjgF8PPRVqHPeZx2K9OJasdD1Onks43zvFlhWHOLYbQzgAF2y1k0frUtBvw4PP2j3J899XXWZF5UpDfgOGEqVjUoJaFF/Sbp0h1mXvMrAUJZsXDPnXAVyWAC8SPTnAjZ2TnUkRV5VuiVsZDlRqbsvermOnVq20NZ/5WpPFtg9B5p6ISjD2PBIl/57j529d266amk5zN8VhqqX4jtv6fPq+IUs9n0g5DFKZ2ZMic29E2YwtS7bMgW1yK8yALti87HZ3cmdFZc+zoak6G3+dH/cqyIUUle77fIhnprulWRNf5eC25b1VuFTBYgogizFEjzbD2B9zXQ1E7D+esiECf0ISDu0vd0z4JLizF8Qrd//zYeshjp8NOXrPLOlQ0QzsvjYjAKwCuLq2jF2NI8HVesydf8EC2OIbShQxAuzR2d/VDhc73J1RcOc7G+TMrSrMvYbB83ET5cgJR9nM5dFjggPHAzQ+QjpFc25ZPViNH0TF1SgPSLUWpWTySuauGB4vy3az1AHjcOnOiN2bhyztq2FSz7J4amWKU3FxyuCuWuiV1wjJ0sI1GZub0ifXUhTWYTW2UdpeNFqSae8soSVLMirAre20+HyWisiblQstLkZkSf5Zc7kixpa88fgttx2lsD2qjVqC7/eYHwhu/9JJ3rFpzz//7je86IkvP3DgmHPifEotCDcdORK/+u6vn+SOp7ZyclGyuZ4VDMoKo+Ynbh3QjjA3a/+tOhkpT4DkpcMjQ+tH5ImoOBOiEmyWgLYMTjYKuOqDV+/ZltaqCu4KyLP96t2sNDRnb5W9dpwYpWI+/0CTg4s18Ep54lasy7WSC55/iaPCntWAs0xqVLV4FDlcOBvxupv7PPxcHbRLklot7qZZdjcdlUoFsAro5LahLTUdmXqQP5fZc5mtKjK/22OfZiuGzIGu8xXWFMQ0IlUopScjQC+ZGKrvree2lHKrIEVpo0T7XTVb52L+0asHTLfmufrC61494XU3iZn+MefQGZ/ZKYc7H5/k1967i6DeYMqzjDfuXFRZ9flAXilkG2GvEc1deZ4XV1W1drliiKIMdBzYBZsrUWnCrYA7m09YbtvBWmA75YCgYsSbozOQJ1aeqJhaPeKB/YpPfa3BYOhB3cGRAleMSpPxz1+9oNcFOGP6e8wyrPriceIw0XR408uG3H5fn4f2e5iGyyD18QTFhaaKv1/q4NFwzoK8mqewwWd2gSnL5qm0elxXWDsP6rXMg0pR0d+iEuhmJKWtTi1W/oqEKnFh1jC0yPTt88VrRtqvIbPjFSeSQVjjhXsMN+8ZMr09pT6ZMtvQOCbWpHGK1IJJ32OqTta3aIqajnxAulxPrqwBeamtxp2E8rUYZbvqhVN5XkgRUYJaqsruDUpktSkluEuQ52WzdjB/PkLZyTZhctQo0N2Cre1dKRtgel5EHKXcfn+d507UwXURUmWgyuaGVIJLIccu5JETVyK7YG2yqayVTKY2eZGRLDzxNHWIIofLdiS85kU9njxWI0w8Uuky0AovZeyzCEZKVsdAbsY+Cyq/2DRaCVTuQ0uBURmYMj1erKgSpK7MMtRU2HttR9MaciM/32UAWgK94gRRPbajdSwCSSgU9ALi2MFVikbk4cWGNAHnox/7DK7jsLjS4YIN+YZJFEu9DWDWSWCMAXnkJI4wl1jzxdaCXIxcODLvGBej4BYj0qRiFarq580my1ZAXp0PbhnbFEztFI/lczcLLh0V43sRzxwXfOm+Ov2BBw0XKfLKQSr24DpZzKqky5e1nLmLtGY5WXe8fLaca6KKbp9mM+I1t4R8+u4hTx7xwfEYaomXaXGlbVFcWRcCIi3lAWkV7CWwjbErXyFdpGXzfFXJg3ydMafUZaJN6Kqbkq26VbBXZMXIeV+DlSo+Rk0IjUBkF5O1MitDTLUgSQz90MFol6XBMzjuCYxJcVS6CkhqKmK2ZXepzU/FuETJA4A1V2P+QSsnc80HHpMpINYAoZAjIg8qxxnc6u1qNlOprMIwqyi07VwUW6qU88HHwJ3d3XwKbVbg76jE3p0Y141JTMrn7q1xzzM1CByQtqHZrZTwjpTGVu/VF8+jwavTWE2+AUBlnnqq5QjQw6HLS6/s87oX93n2eECSuBihGAgHN6X4TCItWbz8COszefn3DUrlzG3Z3L4WSC0KHV74/Tmj56SUg7qI20rjAGGQep3VfcxRGZWvo6+lsBeYEPb4SGnscZEQJfbCHEYe/YUYrTsgNM7sjIurJCvtlNW2zQpqPSZF1siIUbCvr8XXMvfo+6Ky7IiRAyLGgT0iVapp+spdjYFbVe5OuQlqDmi3AurcObGOiX1UKsZzY544JvnInU3AA+kihCq6iFS2kapc51hVHaa8nnA8K1Z1VEZnpmf31LbuaSMo94l3MMbhrS8f8OX7hzxy2E4SiLWin4qs4CsDXZqxdrUOaCQCsKsHaqzkIvtXlYFey2w/nzwo1pXMssn+lqnETboEb7nqizFZa0aO1XjgWey9VL0QCgxmWl7bxyQjX2MgjATtrp2vLgU4R07HSCmIwoREGxwpC+ekys5VK2+8nqSazMidkXErML8gcmdhXHeXB0GUGq7Q/mKk0GoE5FlrWrnZlN3ZoRyAX4J7hLUrj3ljbS5VlEpw3YQ4TbjroRpPH6qB64K0waUnTGVybDWwWocExuRJKVHKJ0UDRKVGZKS6MJVolTkqqUMYuVyxe8hLb7IsPkgti4fCY6jBSfNgLqtTyVwIBBWJYj9AtdSial0qCUYZpBG2C9HYQFQYgREgjSilSkZU1TitwIuuXPgjvvi48bAOsItVcEzarCGT8gJ2lGH7xhDl2AnIzkonu9y07aJRqox0iwRFDkzGl5RKxJ6heNRGzG2hKpsLSl+0fN9OaaruETNWfyIo9t4pdi/Om29HGh7KrUuUGgN3ZSh+4Z6oFOVUAJ5JFM+JOXhW8P7bm4SxC3U3kycUrWmquktwdVkdEZfPI1HMKNDHC4tGi7DGtbhDw5f84Gv6fO6eBvtP24sv1Yp+qmyVYZolf3JHIs0ci7GVJC+MqwJcmlKLy0yjS20w2TkyUliA60qslDO5zg0C1gJSj5sLFWBXrcIRcJcB5/Orh7JIz1Eprbrd4jHVBvUX7/39jTMt77+cOX3iUidr61KVzKAspphW3qsEekpWXI3xBEzlPio3qntYyswNycYCZ+OBC+CO3fORCVWPu3h0St1tHZRRcFf36imLqbLdH5y4aGZwnYhURvz5Z+t88EuT4PugApRyqCtDTZlsHAVFg7NbaY0rM6nVRJSknAzLSIBaxhKl7ZhftEKSNf6WvZBKGoTRbN8UcXpR8ujTHomQIBRaKISwpbRrZGJOQtVVpXAjKq9NRdSYSkl0yftrRrIVUoux/gBTuYCr90qp8MgkYgRryhh0JU8w4jYxKuu0IEkF/VDQ2nDTptntL/uKs7J0etJTg9dONgxJ6tj5JZUvU3z5ypLCyOPaJWVUP1UYvaKhxDqvi6WuytojdeBmRHvLAgylJFEV7a2KnR4qG1EpMyZJ8krBnL1jXCfmwBnJh79ax85fsexddO7nf18wMl5YVo/DOgGTNXHX6m9bcFWtDSnnCtqTmmU1jUSnilRlWjx1+N5X9PnkXXX2nnJBRhghGaYuDlm9SH6s0+yMpnniJ4dqRTplDQfGTqApPpvMgCYNSGNlS667pbF/w+jMH8+aY/SYMzb+HDEuZ6usPubQVUtuKww/4itmn1VrQXcxRdY6r13tH590au6QwIvwPYlMZLGPilnz9ccYQJRX/aher0qU9a3AtUHlWv02kmDKkgnVfWRKDV5uFZjvrKbGwG0nsurs0dqBSmlU7nerBCUTVCZPUpXw2Xsb7D1Yam8ppPW+iw4a1j2BgvHXBTeOaPDy+WgD8ognXplI5Whha1NkmcKPYofLLgp5w4t7HP6wT5QqEA6pcBgIgZNm9h15oJs7KmKEj4sQ2OS63LYj2rJRK02MMZkWz+7ClCl+AVpa4OtcplR8cF0hMJ0DV46WSQNjEqSq8kRxIYwcyzKUqATrMAg1y6tDYt3D2Xs0YXk5pddPqQV2HG+5ZfZa8TjyR8S4biovgNGBN+MBgihsyBGQjDP3GGvnr3PWzsGeM3cBdFVl8lJ3qzyIzLc4kRpHlkPzlUpx3ZgjZxV/9IkWQ+mST9Aqu+azFaRaA135bmvPwvq30eVbFKXHI72IuqrBxUh9SqodktTFTxP+6Zt7fPyuOofPOKBi0A6xcBkIu9N0UcZaDTbHQJ578wZw8gsue08ae8xzNpcm98T1CJtrYS8oLQXClKvHONCFDQtsb8EYOazri6+jHEaO5djxbNXhkp2SmVmFkw+9cRyB6+bVZaYE+Ui97PpgpgLo8kqsRsmV5yNR9ujzKrDFGGvniZRRcOtSoshRBndG/O0MzCN+d+UuLYu7TkQn0vzpp1ucnvdBOZk1KDN5YkZ87+L5+Ikav8i/EdBHTlDeeFDt0cxT+OW0p6IZQirSxGHrXMiPv7HLb77fox3bgMAYSaiVtQ3TstCJVFAq7BLk5f/bf1HZVVjMcspY3cjS8ZHClAyel1Jn4BUie56x9vruRwVPYzKlCu71bOgR9s7ueSOPEIJhpBiGCmduysXBYWXKTg2NE0jSHODrF3xXNXYB7vGrrwLqwv+U5fM14JZViVJlbVOxBssieyWqgK4wuaMzRteFNLFyRK+RKkolxaOjYhw/5mOf83n3R1uE2rXyRKhCnhRNxWOW2IjuLqTZqLh7PhYvThKVjGYB+jxlb3c4yLObRQpf263AAyfhJ9/S48Bxj/d+1mpxUKRCMtQ24JQpBYOXBVj5ySpT91W70oK7lCzGZGwu8srDnM2NtQ+LxE+my2X5t3L3bFybVwlxrf08yt6jAfLa1TBJbVfTMEyZX9KkApwLt4Z0miFxJ+b8ikN3UCYe1oH2GItXr74S9CMBg3j+90YKcyrLfcnkFXDnW3RXtwxUVddBV6RKDuIKk8uyOnD0Mcl875jlFfj4V+ushDm4LcBdabW3I0blychnze2y8dVuDN8jy2n+PPuHkaq+8a0X9ViduJQordDaIUkdJryUN7+yzyfvrbPUVSBj0IoYq8fzKsMCcGvO6/pMbvNAZVIor0/Jg00js73lpdXlItfh0jL5mnqUdcCOsOW1VXlbXHsV8lhzXCvH1O6WYRgMU06ci6hNJXSSBCeVbVLRJjF94iSw3cr5H6xcMqN/YDS1yjoAhvXBva40WQ/YYlSayCKwrDYYjAaV+XCaEtzpCGuXzJ2zdsnebj3hc18LeOjpGrqivW1TQy5PRutNqpVxI4GReP6Ts5Ywqvu9lxJlvBmiuudoaiTKlL54kro4OuGFV0a8/sY+H/i8ByoCITFCEGoHJezU1iLQFCWox+VKbg0aY+3anNmVLGWUkZVCMWlnvFQrKo0xIzJl3XtxzEymx3NcjdaMj8jib8DkQtpxIMJNMO4Q4wxxvnC/x/yix8G9gp0bEgLPKSr2qidpVG9XAMzanxk/wetdxSMZLzkKmFH2NoVFWGxUWgG4VAYnGzEm892Xpcl0dQ7utHRMpC53Y5PWPfHdmMMnJO//XJNzXc/udy2tZFOCcseGsXhh7UkTI4Bfl27GmKdI9FSYfWQP0WpH+UjXvd0/xz7a7U82NlJ+6PU97n3a5/B5CSIGFBrJUMjKJlI26MxBXdiY1QuuyudFNjM7D1U2r4I5L8aqpNX1WG34aKKvWuNdyUhWJFRV7pb142PmRfZ7XSWYnFZcfpHh8isiJiZCHJIaRAFp5JAkBuNa22hNAf86jL0G7N+Aue1w+/L9UVuwUvlWAXRhD6oc8GMgL2Zkjz9Pi6GROYs7sqK7ZYqT2YKeFxOmmj/5qxb3PFazvW3SsdpbStu1I8r5K8VnzVeW8e87xuRVnFexvjaDWboW5R7v1fLZahmtbTcrpq2mmkQ6qMThpddF/MRbO/zKn3iEibQZKC1JMlfF1mhTMCW5s1J8MNuSRuXz2deiEhtk3fUmtwfJ3Dd73nLWNtlFb6VL5Rjl2V9GSbQkzLyGpvyc+SqzHt5KLNlEmifquGYChwmcnZscmo7DYMWlFjjZqIVyVNqa5WQdgFf/bXzpKb4QY7q7kt6u6u8cwDnwrSzRJZuP3WVhD5YTUEeCS1nKEiebcV0ElzLB9RLufMTlk/fUCSMXak6hvQv2zgPcEXmyDnNXUFyAvXJSxum7WthUji6rghuMKrN91VrxVEuktlIlB3qSONTqCW9+6YA77hnw5UeUtQ2RICSxcBjkKyogTNZaVpErdreZUU2e50SKuhSZfc6sKaJ4LbLSWrEe0PNjkYO9ytjr4Si/+KrEWikJqRCJyX5JkkJvAEcGLu6Ez1Tfw5mbEiitmJvKdlAg74Fcm8AYZ+wqoBGMLCvPG2xW2ZoKE1ZlSbbhqxKjroks9lPPXJQiuZMDWVeYuwL0yjD3QntLOyV2tWf43L119p8NrDQRtiRW5NpbUJkgZdaAu5AsVE9ilbe/8S3fpCu35EbvY+npkVrxskZFSoXUKVI7xKHDJZtiXn9rj4f2erSjLP2qrR6PUOT7QIyCu6LBs89usMmd4oLM2sQKUGMDS4mVKlrY3zkOdF1Io0oFIWP5g2+Erecl11znCzsSWgviBAaDhOnlmFQkONs3DvDlkGM1wzDOKL8K7rErrPqLR07j2FU1agGZEbCPBGgV9l4zimAMzDnD55JEFoPZc5CbMXBnOxNUHnNwu06CJuUvPl/j3Z9oYoRjfe8R9qbU3iPW4FqgM3JyxMgJeT72HqnkY1x/50y+tpUt38pDa41OJVpaX1xJTZy6SKX5yTf1OXTG5d2fdIiTEuQaQSgkSueDJHIzoQLyAtTC+oDYRaB8O9fhxbWJyS5+MvBLUQJdYLKpaGItHoos5Xgrm/1sIzhbl1Qznz1rhgDoDRPOLScMTIKz2m2z3O7T7ml8387EKNnbPA/A1/+j5R8fDQZG2Bsot+MupUgeXOZTk0QxirjU3kKsdUxkDm41Lk9G96xX2d4zVoPHuF7MoXOST97VoNdzoabWsndR811xdkSZ4KnqxvHn1QDor2fwCuihosXFiHtisqaDAugyB7pES6vFpXSI45RmI+FNL+tz+9drHDqbJRXsgGpSIRjYtcZ+Rp2B25RgNwWoM7eELPmTn+vcSRHlZ9aCooLRiFFys11BZmxVF2NYqbooo+Q5whVjAC8ypcaWe7caiokJQ6OZ4jxzeAurq4sMwrM06rYoqdj6buwXPd8fLPdlGQ8WciCYsQlWo+MN1rB2NkRGVVg8n2iqlO2iLgezV/R3ZbsNWZElUmaOScbkjpMQxpo7Hmzw1cdrdji4dC3Ax9i7cHCEGA2GiwM7WoaQI1z8dcgeJfRRoFfuWlsbrtxRWmZbW2cMrks9ngqJSiVaKOLQ4ZXXRLzyhQNOfsEl1JnutJVQJDgMBbbLhkxeWpSAtIPyKUBd0eRZmt6GDJaZycp7cydFFpZhNTVvbcfRJE+lzJhRTV7FmqDy5rpNypkrIwFlaNQUV+1qsWnjFM5le3aunj+T3C5C7zstOETlsI+Ce5y117B48fMVf7gAthlh8qpUGVn2q8PVC2DnQC/LRqvOiZRr9XbVDsxT8VLaTh3pJdz9iMdvvW+C1DilcyIVQki7D5Ao0/KjDF51fNZn75Hj842APpbsGU/ZV+WKJp96lRVjidJRKTS5tN640A5JovG8lJ//4Q77Tznc/bBEeyKDrP0CsVYMyOKG/APlmkOJ0XHBmbtjvfBstWVUnkghMq2epe/zOm3EyEoNVjePOigVW7CSNCxfmepHWcPmeWFgJDSpduhHjdtrrR2r6rteu6HncO5wq6Z/AuKsdjsfsljpv6veK53b5Q4DlYyjqDQrFO5INVmT23xj/naxe1g1gBxL5mQ13qUtqCvbbehMa+uKLEkrCR3ba3lqWfBb75/g3scbdlMe6WUlsS6OFNQk+JJskyuztnZ75J7VyxdDckaHEeU171KNNUxXdH35WhTyrbRJx467LANzIcyI3Ct3W6BwK2ZnEnzH8NBTHqsDObbUyGKKuKgAvbDo1lLb32A9qhTjVqQXMDKxvJrBLSXZWvt03VryamxSGf2cJLaSMExc9h+e/6G77ntqv7N1to9Ugl5fZ6lOW55ZvWLWVKSY0SdrA87R6f5rnkszEmhWmVuMBZhV/7vQ3DmLjwC76qRUA8usFDZ7nnop7//0BJ/6WgMTKBDKolM4CClH+i3L/sZv0DFffL+qpluLCzF2+Mw6h7Na3FYNNEfnF2ZBZjY/0GTMbYwua1SERGpFKhzkIOXNtw147ojLO9/jEPlJRX8KjHYJyWpn8qgxb2sTZX04YDW5zrKbed9AEWRmrC2yycOZPBm1Cs2YZZjredbIkxJLzwNCs/ZlaqA/1AwSg85+n7M6TJESwhDSVCKE7Y55vtvIuOT8yToB6KhpP+p9jweYVeYZB3YBaJH73mVXS3V7u5y5i+eyTOrIouYk5csP+7zvCw2GaTYFX+TWYJa1FGZEe6+bmq8CnSrgx+TKCNjXZz+TBXemWGjHbELMmhJaIyuZTVlxVoSyhVkyK86Sdrn2Xc0Pv67H/U96fPlxaxfm3jhSoI1DmGZBZ67FKdPxmeDOAsvcHhSozBKsglyK/ELICq5GAF45dpUManXVGI/31uB6jFzLn7L/lZKCoGYQTooxBucvvlAn1jBTN1y2NaXVsCPOSvGfbysxuqSAqPyx8mer4K5GxGuTO1XtXW5kVEqgLIkjyp291Bodvg6LV9lbpmWA6cT0Q/i1P5vgyGkf45S7JY9o71wijQB7DNCsA+biEK+JwJ8X5ONkMZrRrBZfVfX42toULbOKQ1llcYVINUI4yEhz4daYX/rRNvf/W5/uMPsyWhafK5V2L07rDNgPYbf6ycEO6AzU5Ji3fZ8mCy6zUYc24MyLrzIpayrHb7w+JUPTmpUuZ/fq8VnzmtKZcRRMTzhcf4Vg84aUKAbnsgs2g1CItIc2C9aVcHJbLv+FZXatWgX3fLdqwDAeLVdnR1cLqXKgyxEm16VEyfsSxTrgHnFNKrvzZp6348QkKfzhx5o8vi+wnrfMmbt0TlwxKkuUGGXtkUzsGHNnqUGqQzfX4+s1TD7mnJQNEOVxt2A2a6sNhWXwIujU0oI8lWiR3dNMqmjNtZfG/NR3t/lvfzVJlGZUCzkaSVGEuhJ0SnBzCxFTSpQMjCY7ySZj7ILNpb04TH7+qwme7L8rUvfFSs/IfrHrHbk1NTvZe6LAi71QUjNLbFrEOsV521tegx80OHXsGZ574vPUA5XZblaP5b/Q9geaAuRrpEqFo8QYqMe3sShrOaobGK11T8pNR5+HvTM5IquyZOSeBZZBylce9Hnvx5q0B671ADPPm6xJ1zonZdayWspb1eHlaLZ1ZhCOhGWieC3WnKlxFhrD+wjQS5CPsnY+FdZk4K9KFWsjplIhjbb1KomiFWh+7C19Hn3W544HFNSTXDjbPy4FiZYMyWMKaxmiK1o8Q6NN9lAA3QhRZDqNLmVJfh8lt+zYVeRtFejjB2Qc1GVTTolDKeyEq+EwZMvOq7nx+qvodHo4jZrE9RWTLc2G6QGu6xUMPLrzl32UxRL5/CxerSd4PmCPRv2Z01IBuN0yeh2QC12w9AhzKwt0WakSlDJBOgn7jjn80UdaHFry7DomKto7qxh0s1knhbOxXlBZuYBHpYkYW27XOVFVBhhzF0bdgjKxUjRCsF4anxGwF4VYRhebyopcqghjpUps2D2d8E+/p8uxcw4HTwuMUxVYAqRLmoGcMZDn8sVoO+STCpObTLKYCmMzBvC8TlxS1qPkDFyAfZ3gMb/gc1DbcW2VXeJyRzsyhKFmEEmEcNE4OLUgRrkJk80hm2fbpKZRacFX2Y6yEpFKUpFdnWZsmSjUZxaSFFdlBeBV+0qsZW0h8q3pRp2TUqaMbik9nszJ2TxvbJAywfMTzrUFv/aeFp+8s45xVZmO/wbsXdZ9r03Jjy+r40md8QQZlZ8bI/HKGVz73tqalKoOzwFtigynyXV4xuBS5M+z4FNoklTjSuuqtEPJz/2u4vyqAH+Ubg0OiZEMKxp8BOSilCtGgsrlSQZ0hC2PNVgRlD+KjN0LjOSMXvza8XH32eEYL1vQkGhIUojTfJ66IAWWOpKlgWCQCnqxwLE5Du9cPUi+tHlj7dX9wSpp6hHFDmHsEEkHEedJWmm3Mho7+NWPJEUZLIxr7hzw1Y2LxBpZokelSi5LhNXclsF1qbOzTKWUKVIl2XNbaxKh+ex9Db7ycD2rNVEFsEfZu9w1uDpvcN1iqpHvNhZLrtEjFfCvt9pV5MqIBidn7kzbVhsNMuaWmZtiyLbX0wIhssRP5qxIWalZkRKRVRz6juFVNw55w4v6fPB2RZQIm7YtWNxeNIkUa0BusuGABpPZhWQ63GTPLZqlztL42Xk2lWNp8mNoyvdyq3C924j3nYE7TiFMBGEi6MeCQSIYRpqJyVn6qfqSH/jntBig/tOv/xHf8fpLVs8siVWt2/9oQ3Mfzbrd+cAYgU5VtvRVz17pF4xs35wneUbS7t+oeaHspxytLanUdlc8b7kec1c64gvd7SSkUvPpe2r8p3dPcPSsnzUxlAkdW3Mi8CUE2SB7JxsDl88WL5M55Wg4+/nLcdLFlFsBUkqKbVXE6JB+O6lLjiZucqduTSKtEtBWa9ArWracPpDX75elyeutOPmVJgSgDdOtlMsuijk5rzh4wrHnt0BbecUaITLclgMwitR6JalDfkGugadgjAPXXOOjvamjeYLqxa+N9bq1tsw9TAQroeB8H1aGEcP+Kt/1ys286Orav95/8NkHv/u132b36PnAlxVSSTorPsN2k6kJlx/4ti67NxtbIx07I+nSPP1qxBrCwm5CWgX/6ONoSawZ88FHNbdl61F5UgaUJXPnwM4fXTfl6KLkvR9vsP+QD01VuCVFYkfKQpoUfZaM1qY/b8d8FTj5iRejAeX65Qyli7Jesseyth5L+IwFm5Sv8/S9FKC13XU498ZFJjOFKHW4FHlXvkMcGi69MOGH39Tl4ac9ji3kJnb+EUUhQxIpGBpszUmmJ3LGtqUd9rnJ/3td8csBkbM5ppAqIy6KqLw2o8dk5FiZ0ddRKljqa/bsWOKHXrVEoHrcct0kV1wyzTAc8uNkm1Ddct0LmGrV+PhXBB/85BKeAwdPt/l33z9gqmb3Bk+z5tf8YiyWE1N+qjIazmSKqOruMTtwBPCatTUoZUInB3Y1wBwFfYoSVpo4TspyV/D7H2xx1xO1skqwAHYpTTwx3o5WdukoUWXMtcHl81qFrL3o/7qbGTuTBYtVHYRCsliQFTJFZP2QI964RAhDKgxCW+sytw2FUPYyEpq0r7nt2pB/8fYO//nPJCuD7HPkmkLb58YoEi0Y5l88c1WKqsNMoqhMophMyuSWoSyu7WxwZ6U0Vla++hqVJ0aPT/4zSmZbtgjDxTuG/McfaHPbCyRS1KjP7cGdeCG1tAc5wK++ZDNXXbLzjg99/J7fumZn8+dEGrKyMMuDT2muuSjfElqsWWXshV7daiIHtn1e1kmM7aEoqyAvHRJR1d+F5jbrMLcuMpQ5c+cJnaEw/MknmrznY026I9nKUnfb2X02JZ+PgijmajMK4hEfPGfqypkYBbNBCDl2gP5m4B5h50pGc41NVi3AypqSZRF0UjC3Ta5INPZ4am1Is/mFQhjSbL1vujE/8ZYu55cUf/DBFoMRRwXyoMtIhwSryXMAF5pcgsouPCOyCkRRvQAoglAbdNqu/CIgl+WhygPQDFpr8Jafi5pnqPlw5UU+c42t7D+W0mgoZhj+1ta5F95h4kNA9ln+6A/+GycWVOyY4cUTfvwdM/WYCzd7TNYDPFcW7WvjtxEfeKxasNDboiymGgkmxxM4VV0uvzG4pRzPVto6b+Fqnj7k8evvm+DEvF+Cu5gvaL1vKQSBzEpii3upvXO7sOzDrBZFjRVLyXI46cgMc5FPXs20t6wOIB3T27K6bUtFg8vR3thS3lH0NY4EwSN19uNb+GVavXieNygYAk+zYSrl3mdczi8oKzXEGKry2pWc7sRoYda4N5oz+5plrWDj0X9bK3VZ82+icox8B6YagpmWTxjV6Q9dknSC/sD94LEDd92367I3lwwO8FM/8p0EQcDX772Pp59+nA0zLq1G5odn7DESf4wAfdzvNpUdttZxTAoW10Ujw4iLkoO6sAfTyvujafj8teNqnjrs8lO/NcXTB32MK0tZkmvvjL09WfreToW9n7/ncn1JMpLYEVReiTXn9RvT+OjTUV98nL2tHyx1llypsLnMMppSWE9cGBDG2Oc6azzIZUrO4sIgIsPVF8W86+dW+YlfF9k89IJuMwM7X00UCSLbTzaTTZVMZq7jTa7LxyWLyNsu8s3F7dYk+fu5o1IcwoqFOlLnlL3o9DQnzhmW24KZTVdw4ZU3E4Uh8EujAN+yeZagVmPLxiYLs4rZKUOrkVL3U9wss7k+i48xxZgFuB64pdSF721/b6nBq8GkfT0Obl0EmErYhI7jpnSN4I8/2eCJ53xSNZbMkXnWUlppIrJmBsa0txx1K8ode8uDWk3wMAL2sVVtDRWtg+t1AqoydS+gEliOpPTJmHS8ZtwIZDYJK99MwGS+eF4+W4A9B7o2pGgcYbj2spB/8qYeP//fXLoJFuQ6u7qLbKcFeZxL1sxGtOAuQZ0Hn8XPCEHR/kbxqwqHptw8nsKVHGf2vOFIa0gwDCKB6Kak2tDpGnqhT1CfQYtB8d8UAPc8B9f1Dm2cDQ5fvNPf7Tk96oHGcy0YTXZw8rT9CJNXwVwUv5TgriZzRgPKquets8CyfD4C9rxaUGTMLbIqQTelr+G9n2zwka80CHMwyyp7Wz9OZuB2haE6oWrdrOXzOSj5Cag+Z+x4jFLA35S8R/xv1tHhOsNQldFzDV4MDcqcE5kBXhiB0BIhtA02ramevWcQZGyeGjxh+J5X9tl73OG9n2jSi7EHTOdozPPiQM7kVQDDCNBtUJklhcgvlrUgJ/veGlO8XpM8I98+xQI8BMLEMIwMvUHK7FSNFO+w63mHZBivBfiGjVs4tu8zX9q62ftQQwa/ZMJTBL49i72Boj90iWJbq7Dm7IwsHaOyxFYF6kqtt16jw6uMvRbcea1JBdxZKt5RCd0I3vu5Br/+nhbzK66dAyKqgWWZsczZWwk7jmy0Q6da9bg20h93UarB6HiaXmSsJMQ3Bnd+DKtAHnmvcvJNlcELti4TPyIPLFnnvbzVTZPVSRs0qlx1tUTgkKSGTTMJ/+5HO2AE7/tsk26cHbAc5PmVJgChSApJYh2efMxs0YFP5rpkBzJ3gUwFRjmTyywX/nwroBA2RR+lgm4o6AxtebfQMTdOz6Jl40Mf+dQ9X/rRt79+LcABAl/iurXPn406b1xtt6+RIgEh2T7rkaZTDEOHNLVsUWhtMsdkJC0/2sRQZevRqsEqY1cCSjEGbqUtYxfgztLxgeFTn6/zG+9pcS4HtxzLVmbSJLcFHWHWDLAvPi/fgLkrPvdIOr5yHkT1zb+R+B4lirL+hDVSBZ4vdV9mO9eCWoyxuCksRGGyu1bFa7QiDg2bp1L+3Y+1WepIPvS5BgQ5CnN3pfLltAV5YW3m4M42gS2HNVYynZnQFmMgL2paTCXbSSUDmrH4MIZ2nLBl6wBMiqMcahPJE47b+HwY90cO7QjAN+16Pa/6oZ+5F8Qjq0tT10RJguMIvutWza1XOHQHDiDK4TwS+yUKBq/63GPB4zrJHCVG2VtUvW0xCm41ntTxNYdOOXzgcw3OznvW75YV9i4SO1kTR+We24JF0ReleyGz71Gwdo7VkRdZkDOmv/9XwG2+0ftjlmG+N+Wa3k0qgM+ZMQd1PmNS221BhMiAXgG7DTwtz5ZJPEMSGTbPprz923vc/6TL4dOerVeBPDIstUUG8lQIouy9EtzZ3PPioFSDjvLCLQ5f/lb2o2UslDtaAs+xqfpXvqjDd710BUfGOK5LrSEeMebd915983ufBgZGpgAAL+hJREFUH+AAmzdchZSSc2cP0Gm3aQaCR54WNByP6Zag7hs8V+NgQWkYH+JiimDTAsgCVowEkVW5MipP8qBSiHFwJ9nPJihPc/iMw3941yR3PhpAIEvWHtPdVKSJk/eEijKZs96M7zWDfWRFqozLlGrhzdh1MK7dcxYad0lyAFT3wlmbrq7ufWMq+jsbXGnsxlDrFWWJ4gKQRZLIyhJTsLfWmWTJ3JZ0mPCK64f86k+1+ffvmuDIWWzQmTkoa0COItUW5Kb6fTKw526Kk3+rLDgVssyOV2cdVmWvEnb/I8+FwJNcsMXh5osnaboeNS+i0agzMXcpxmjGb2sA/os/+Socx4n+5L1tnntulWZNMt1yWe04+G4+oiHbZq7CRXlguV6Gchzccl1wW4fEBkPrgTurM3E1x+YdfvmPJvjIHXUike0ExajmzkFeDSyr7D3eXbS2dmPMxq3IkhGnRDBO7uvfRuyAtay9ppGk+tqMsna5jucSJgN9ntnMXJSCxUdYXWamgag4KjnIbdBpP68hcAxv/bY+qYZ//4eTHF8QJWK+AcgLNqgwuS1BtQfCqWgyken2XAgIUyaFSlxZvLlKUPMlrbrD+SWXJAmo+TFbt1/E1EXfHek0Af7NNwb4zm2zNBrNf3vLdRdeHnXP3pZEQ1pNhefmUXrOJmJEH403LIjMCiztPr1Wd4+DOw8w1wW33Vvn+ILDz//BBB/7cp1IZluviao8qXreGbifZ3jPmqpBKrJlvWCyIOrSNVkjX/4mgeVfc6uOUs6dlTU6vAL4IoM54qgwwuKYMYmSIUyQuynFX7LeuFbEicFVKd/36gGOgl/4g0mOL3jlBKDnA3nO8rn+rjB5DhoHY7f7zi6EYnZO/h3yDibWkkqSaJY7DnGiaDUbbPUu/lpzYvu/7ff7a46lHH+j2Wzx1a9+tTMz1dw/PRGkjfr/r70vj7PjqM79qnq9+6zSjEYajfbFMpYXbEneFxwMmJjEjrM4CfwSXhInEEgCD+IQTF7CljycgANZngkBEvDD5Odg42BsFtvYMvICXvCixdosabTMPnfr7qp6f1RVd3XfO6PRYmSTV7/fndu3u2/fO32/Pv3VOd85x0bet+A50lCa/u2UiIqaPnAjSTgjfaVt/NzacltKa2JOKDW4qc1wYMzCTX+vwW0n4CZZ6y2pSTKxRLoDMIwIoBkNJOkTmaUXaWqSjGRZHN2Sz4rsVguOjAUHpLov0YSTFN3hGWDHpZdjTwqN3yeUSjQuBSeMSlncguAWImbBZsC1l9fxv26cRF9nCDAGiAgQDOCRfAi9LgKEABNAwIFAACEnCAUQCSLVgAKyTblA/Dr7SGXvGBc24wLNkKPW4JiqEdQDlzEUtj7y8ANThULh6ADXo1qt3lgsFp7J5yzkfAHPFXB0D0pdYq0llzKx0IlIygjeZLwmKb6t9N1JQCdSE1Hp72Y28H/uKuCOb2vLTdtQkjQ1cVWk0iZJjmU2YpkCLjVcg1kPiklJso8Y1MmVcSyGPFs/JKU9AUm/TgV8NKh1CN3k3gAMLi5EAvRWkOvmVgm4JdgtcGGBMQo7Aq67sobfuroKmzEFctYG5PohLXA7kEccCtwqWUEg1tLoLB2mo7Zm3RMmEEUCzYCj1mBoBoDj5Z+p1ao3znRu2wL8sssuA0HEVq1YIjpLFHlPwPcEPJfDcZiq92cUvbS4YaVNSy0BT0i7IE4SoYzdfsQENwMlEajFQWzgvkdyuP2+PJq0DR1JheNJQk00uGHSETNLJ+1FSVlrzGDRDQtNkN7QEsWcm9GedWVajEUM0BMF4FYxlqaRcfZ9bMUNsVZcnVbXPdSA1pZedo/gej2ncJnA9W+o4fKNdRDGAD4TyLUl5+ACaHKgKYCIE0RtQK513ky1bWE8/YiY6r/DgCDkaAYc9QZDtcExv29Q1OsBO/+CS9qeXxszjE2bNiIIGrcH1ZdWTowfLuQ9Ds+VDzduhW30p9SZNlbWmvOEf88UodQXQQrcDJbNQW2Bux/O4f2fqeD5nZ5KGDapiRnUSbwmSdOodBkIHZ6PgR7jU6QbuWrsajDHk84MT2kDaNNbOBve24XqM8wk2S8WabTRp8TlGswEZZF6jv3hSltCIFPfiY5OC+lB4TI0k/pfCCRNsIjAuqUBPvWeCbyPAvc8nJcndFZODghQBIqTx8EgFQCSX0P9b8YyIUDEtL8QANOxXRmmIgA6uyrVdaefdXvO92c8xzNSlO6efrFv9wufXrBo2YjrMOR9hrwfIecyuA6D46jyaEb5hlgJSBKLboLbzKWMhVLEsOImuC0O6gh84wc5fODWMp7fpcBNTR+3pUxvYr0toroRG5QkoSUiVuHNmMSA7DrSFtNZEJ8Q9zaBnOLhJBXVzIquUuWXTesskDSvii02lVY6u75NWWYm0nRFWnL1HFhYMxjhE++axFsurEnz2o6upCiLTOIIONDgQJChK5Gy3syw6lFsvQnCiCAIZYCn1hSoNYFak2HN6hUjTz393KcXLVowU1hhZgsOAAsXr0KzMYnq6BY4ZBKOnaj/dAJD4r8WcVpZnIljsTiYQ2JQiySIYwR0Yj+3stzEFvjGQzn86d+X8ZOXfAXuLB1JNN5QMtWUSxBtEohhcHAYNARtwG2COOM6zAZ4UuA2PC0zoznZxXQTytemBwWKiiTWOdapgGSsuYjFS1p1qL0rxHi/tuaca62/zEqQkU15L+PqteTyVhyFJAAQAuuGQnz09ychBPDNH+TlFzctudajGNoTAYoIEuRCH0xrXLR1Nx2ERMSUhVACEsmpV73J4fUUsWrlCnR1lmc9zbMCvFTpb1KM/+7Qou6vBdX9BUoJokiWJJAnGinrHFtswg2wC2PiKLclEUvTY6IFVBywgXseyeGDt5bxXGy5sxoT9axKkBGKmJrEepN2oM4qBtt5Sdo8t+BX/UAktTLZcc5cXKPYAHt2W5bKCB3LRqacBAyPCjEpigrjCwoiuAFypS6M11FVzcr8NHXJUQHGjC8VAKcPhfjEuybBBfBfj+QSwMYgV+A11muQx1JakKQqltKxxCpKqlszCnAmrXozkpRs1ZqF1ZDR3128sK953AB3rGHe27/4Mc+7cPKZLQ8XOoohKsUiJqs5WXcDoj3AjZQyYmTDJ54UDeisWpBBWATfetTH+/6uYtCSdpNJDXISR7u01iRWCFKDmmQAnI5cZmoOxvglmQsgIeYxJcla8hSBzRD5DKZbAK1j1KLNfoYuJZWjSZLtGrQkVhKmm7pqi05MT4sKBkmdiTQU+sBEULWPVooCjGkzzYAAWLs4xF+/exJCENy32QeDSKy2kWWvbiMAtaSmXMjKcbqMhIhPpkj049BKXQnu0RqBX6ihr0vgumsunBxasvSxbS9PtIYvjUFn2+h48wF0Hdm6i137w52Xh1/9bg6ArH8n689lwZ2uLGWWUzOTEyhNuwN12pmwCL77uIc/uqWM53e7GXAnhXpMzg1K0kIqIq9ai4hE720A3UxcSIE56wZsA1jTqrcykFS6Q/pNcx0tPu/0RSAyD9Pnra13Orppek/SvnPOaczT42eDiwuThwsrdh0KvawfAcHaxSFuee8ELnl9AxbX3pWs21CtU/xcCAGmOHmDEelO5NKdKHm55OQ6am8RAotE+KXzp/Cpd68Lh+bXrh3sLx0ZHJg36ymdFeCE5PHC1j2Y37dm3xlrXv9SZ24lXtzdg3rTUb1XdMkHsw43S1qKWFFCWQy5a/oiiEAtBmET3LfFw7v+poKtu/1EGdgCbmNZpXq5JFMV1iyrkHILtgZ0iAH6dMXYtHqwnTGOs3rIseF4Fmy3UJQErAn4tXsQIsvBEUf/uDnhNP3hPHmdak0oqHInGsEevY0bfnKjAS1XnZZ5QLFyUYhb/2QCl5/bgBX7yaME1CL7YIkbUQA1TlDnBE01CZVuRBJb8YLLsXIeUHCWoq9v40vLh9bsmxzbi46ic/wABwDLsjB+YMvuRb3sneecuQYj4zbqTRtCkMQK2+2AnWkfolqIxPRElVazHA5hE3znMR/v+VQHtu5R6Wa03UTScAcqcOtQfOwSJEZtQWpycDGnSaVpndvpv2dVELY14ceA8DaAT5ZJWk6rX5v7xb7ytNXOvuZcB4/MaKaudaj3MUCfsuTaupsgtyTIF4b42z+awKXnNkClcDsDcmXdeQSIMAa64AKhsuZ1TtBgUvMdKq8KJQI5FyjnGLp6V2DH3uCd//fOh3cTYuFowz7aDiuXL0SjXoPn5w4w4Tx0cP/WCxk7Elttx47iDguxp8Tk27GakCdBH1XmwXIZ9oxa2PxUDjf/Uwlbd7cBN50d3Cl/N0l0Ju0A3WrFxYzg1RZbINkhwfBMCBaxzcgmQMyG6VgimtqYeEvMnVVmZcptqC29fEvCzeMsH6VViderzB/tORFxzXEgaVfMAS45OYds2EniiaPxrAaFxOuqwRCf/qMJfPgfOX74lI89Iy7gMrkTB+RBrISTE66cBVKo1SAEEZEBIV+dR98GBI8wr7sDZ75u9UMXXbjxQK1WR6GQP3GAA4Cfy2P7i49vz+WLn162fMWFjbG9KOYC+F4Q0xCiAjtEuwGJAKEsLZklCvyEwfIFtu5z8MnbSrjrkRwOjzszgNvKgFuG4ZPcShFrTcwKsNnC9TMWrNfARmY7WrfDBG3WuiN9YSS7z92cxxY6BmLyGiQNZk1OE5lU2qMSuxZTrkRhWPlkYio/XHpTNPChBFkcUIKoWD01I8gBgAbAqkUhPvO+cdy1OYdP3lbGtpddwFMfqBVVhAOEKXBzeUERCkEshIQgIpKTNzkFEwKccaxeswblUunTDz28ZftFF5w3p3M6J4ADwPz5C2G7HY/l3bE7Wcez1xTsx2FbBGFkJVkiccJDInvVACdEW3EGywe277fxF/9Qxtfvz6PBrPSEMsW7rRZwO2Rmf7fZbjvpmJzxoJjW2/SoxHgkbWiLMK4EA8JtZpRxPY8WsLcBtQavdqC08bhkn1N1IRVoYVwUup54LD2NfeGy+qz+jlz7vakCO5dlLbhS+WkVIuVUGnZu/B+zgTwC5ncy3HBVDZ4j8JG/L2PHfgfwzP9EtXHWQGc6aCdz7gWAUHCEDYZpznDahpVYs2bVnatWDD12eHRqrrCdO8BLHX0Iai/tnrdwwx/+6+2PWI/+eODqztwRvPttVZRyatJJEj+3rLvBAXAFfBXRdIAd+xzc/A8lCW5YsuMTaWe5jw5u03JrcJt9LFvr+s3R750BGhHpyWRbHn40NM82ZvKFI+0eTCx3GvBcqDbbRFtqw3LHeZpaTqtLT5CYkUiwUmlMqZAXgiDSl0c5BJd1F1N+8llALpqAZ3Nce3kdEMDNnyvjpQMAbE1NiDyY0EV3mFpWDw70FGq48ZpR9HeXUO4id60/c8Mf7ti3f8/pqwZOPsABwM0vxde+uXlPd8/lz+4dJldvPvgEfvtNDVTyAMBhWSEcmwEK4LrXIlE6YOoCu4ZtfPhzJdxxfx5NWLLqDpkbLWkHblPTTYjIqAXTjWzN/TSGTcBr5LZLLDYtd8qTov/OCurjQLxIKEsLoPX2OEikLgC9XlGXrBWPAa+DQESDXuFTgTwO/Bh0hSqQ8yyY24BcQBobFgG+zfFLV9QBAnzoM2XsHrYBV/9T6g1cNRcnVLWWcQBBUfQILjsDWLZ4DSr9Fz8r+EN7Fq266JhO4zEBHABOXzaAocGBT7y8a+dS3jh8fRQGaIZVeF4djIbYu59geMzCQC/HQD+DoyoqNTnBk087+NwdBXzt/jwCQlslr8cFbpHQEhOUpqsQGXCb/NvAn74IsrhMA74VzC0XwzGA2ARvcjSRWpf2nkDya4J4P5OzC6IEVarNQhrUSHQq1KDVymrrY3BluSkFOOcxyLUlF3MAOQyQuzbH9VfUAQ589o4CfvSCbExLBIFDBQYWMCzo4RgetbB/2EeDWxCOjwZz8Z0nBtA5f/3tC3s2fGJqfN+xwhVH97Nkxq233oINGzc184X+ewa79l7s2bXBcqGK8VoTt96Rx19+oQOf+fcyvv8jD1N1it55HI4PfPmePH7noxU88YKHEEYmzkkCd1bnnY5kZpbbrYtLppH0Ni2jpZqXJ2XW9DpqbCOqXFsi1CLGe5JtbYvq6zuNcbGl1lN9IRm+e6O0m9lpoj39Iqk7kj5WOxepORdpfU3aTD9Iaj/t7yHqIrMhsGZZhF+4pImRCYLtL1lYPC/Cb1xdw4ffOYn3/No0Lj+rge5KiO27HVSbBfRXXHQVO39w/Vs3Xff0M89OL12x/pgBfjxsEQAwMvwEIMR36of+6bJabSs++uU8/u2+LkTEgSARSNCEhQDrVzfxzp+v488+V8ThiWyKWba8Q9YVSI4T3CIFXB3KJ8bkswXkuq6gASZdn5AQo54gUbUI29QjpLoeOFENXY16hJaxPa4rbnwOJao+P9HJJEDcOJcYy3GD2EzNR5JdNrOpkElKyVQ4yLxuSWKh2r2brkyWSC9aqyHogB4hOh4Syc+wCQ5NWLjpcyW88+drOHN1AMIJwoYHQigEZfj3+z185PN9qHQuwS3v/8XvWha5/LILjh3cwHFQFD0qXcsB8C0uztr44U8cyX3le11wijk4hKAZhGCcY6irjovPCDCvk6HoAIfjDk56MpEN5hy/5dbljlO6E9reQpqUot0l35LYkLGIJ89MtB9JkIekyIrJv+PIfOxBUdnoMSdH7FqMlYnKRagl2ck6eQzNw6maWya0Q9OVhLBT1bIQM9EVJHcYORegIJyBc4HpEDg0RvHAUw66uiIMVSw0ggLqjRwo4bjuoioIxrFtYl399NOWbbHoUeORM47jBrjtViDE2E1h/q1i1/jke7uKu/yeopQ27p+ysHp5gA+/fRyXrm+AEYINZwXYc68LpivtwAA5be8tcYlZJDNbak2krDZR20nGcscTyXaZ82jvRTFBG69rCcbMQriPB/Ck3WfAmDQiViUJogFLoEsUkxSgE06u5p8JH1fZ7WYqnFS1ygPEOQupiSfkRJAICMHlyVVapCyozddE+iJBiCVBTjhABR55wsV9m318a3Me39mcxwd/o47l/XkcHusA50DO8/G2SwYbvPPivxUEf9bbVTxemB4/wOWP38n//DN333zOmkXhwlzjA6NHDrq2bWPNEuDXr4pw2XoCi9jgdohijqsfQSOvNY8yC25XV6EihkrQnFCafNvMhs/WMTGSgZNJaHaimSDL3LcdZkkG8W2N+rFMOMUc1hmNBuLtsRVPtsXt/gzvCaDcgkheC4jEiwIZjqcKsO0suSBJaxrGOQSloDz5PkRPWvWgsrCQzNKRxT6FoAAYqg0KEVkIqId7n6iAWSHefqkPzymDEoF584eCMhv4ZKH+vb/qXPirs6oFjzZOCOAAsLhSDwoLuj4+nO8P9u2t/wVBQFcNUSztLWNiMkLenwKxmPI+aPSZk8skM0eD2yOqZw7JWO42fm7SBtwtisF2gEYayCnakppYGRtNvTd06F6BfAY0z6YLT4mrTOttRi7bWHbRbl9I8BJtobXr0LgD6dA9ANUZQhtboUAujTOQGGRigFvXOiGU6hw3mHKmVAcU85lQVSKOgwimvIMUcD04bhF79hF8+1GKJQssdFVyvNQz+BcBX/SpQy9PBSeKz+MnN2r81m9ch/5uq77hnDV3nr/xTNHbQdBVEoiYhSC0QSnB/gMWnt7hqLLGSZJCSxY8AXwCVb9bA1zxbyrSQiqicy0NtaCihAktyXBpZICuHi3uwhQwk5WzBncAzNzheG6jRU1orI+3i9Z9TS5thuU18tPZ+fKfzoqxuDD6bqrWhLGsNlWCQstoDRGWmY2vE5W5TH3TwiwuZMocZRSvWx6iv58BnMKxKDwLGJtkODgSom/ROpEvL7/zpX2iftaGa04UniduwQFgYGARypXebcVi7sbucvC5YOIR6ntN+F4AuAHufdTHT7blILTfO86rtGNwOwTwqEgBOxZQUdOCa+rR2t0gG3aXRjddNdbEZivtSG9oR1WOH8HpN7aj2+Y2U4il54ztdhKEqMB29rOE8TnScuu12nKT1CRWbuUgSd1uru4IcediAiFkZTNpTQQEl/ZfitIMi07kBzH1LQixwMHBI47Tlgd444Zp3HZnASxkmGxamK4LrDv9LD40tPTGFSuWbhsePnQikIzHSQH48hWrMLx/W3DaurNu2/rUT/Io+Lf0FHdg7+EAX/5qHv92XwnTzEVLRg6l0hVIZW3HuOtZXL9bdz9uLftgWum2QiqkJ5axBW4H8raWG6kdZ7wYsgeZ68jSjhnWp3ZIURYDxKnJpCGv1aAmpmdaZvVogVa7Wa2UXSS0RNY+1B4Rqvi7gAAH1XQFgMyrNOssa1+4LBHHiAUwgZwN3HTDNIb6BL54H8OLu0tYtnABppv2H5977jm3Pff8Nnba2jUnA5onB+AA0LdgBaLGXrby9LfuGDuYn9ry+K7Sx/4th81PdSIkFMLWvqN0zW6Hqj6VxCiQSYzWfqQV3CltCTLAzYA7JaRCmmdnlYRHE0fN2UV4PFgXx/ae7PvjZZF8Tw0xIrJ2Wi5x6D49BtEX+oJQhVV5EgATXBkXrkVhVLogqVG6XhF+8zsRYkG2OLRk68PARmcJ+IO3RTht8X584TuLcOVl5069+ZILdrzw0jA7be3K4z8ZmXHSAA4AlpPH/T+cuGvt0kt//4nh/N/uOvxAl5ergjEC1mwCiCSKFZ9wiAS31nQ7Brh1E6ush4TOBdjqRJPU+pm9ItkxF3ySWTYkdUzmMLQRbTOZnGl3oax3GtiKTszwnoSQJBCHSLqkJfpz1SpSJOdXEBIbF0FkYEt+lgz8qC8gLw6afCLU78GJAKcUFEwVbaWo1vOo1mycs7aIK664ahSls9/j2XvvEpi7kGou46QCnFjdAIDhI1NfuvGXL7P7S/Yn/uOu7/fuODiGKKxisiFwsJoHCIVNCXwq4BEkzaA0LaGt/DtbJDMbeNE/bguoM6huD/Tk7/FQbHKU18c1RPtVsUeEtPkcg7pI0WG6Y4Lsc2oEjrQnRXGQGNzQRbGRCP8g/e+ECAhV4k655aX1JsIgJdxgVLb83TgDsQVGpyJM1B1Up/OI+CAGuy897JQv/p+chV8i5LSTceZS46QCXI++nhLGxyf+5dq3bKQuH/nYyPADvUsHx/DQMwJ/fXsOxKHIUSBvmZVfE3DrcHsqnG3w7gSoIhVt1CML7qw3xdwPODZAzmXCeVIAjow7cKZ9jF00qEwuTtrsr28zEqRKdWhOObU0WCVMxFROyPMvhKrrLWRkU0AKsmjsNKdxMjMs+Q0oZXBsji/c6+N7P+7Bst4K3vZzZx/uHrjkg82A/0s+33GSzlp6nLCbcKbR0VHBsz9++Laliyrv37h+cHTDahfrl0UgsJC3CUq2QM4W8CwBh8pHDG5qWnPELUd07/rYZZgRRJn937PgPho/mSsoTxZ4j2WIrDWfw5dI7WIW3NarlKvQXNbuQS2VZSrZmHEKzszXBIzJ5YhRcEbBWOI61OtDZiGIbAShjTB0AVA8uT2PzU91ocmGRifrhfff863v3ZbPH3+k8mjjFbHgemy68I14ZstXvugU+4PR5tJ/+M9Htpc830OXy5G3JUgBlQuoLG7cddgQJFlUtOXd8S9p0MrUD9zGqsevjxOpMxnVn4ZG5ahfYpbdsy8S2mJ4WPR1INByayDKhHOQWJwF6DsrURZehjNJTJPkAUJqg3EL09UCrjy7jjr6p5YtGXjX8OHpr777937lFTpJcryiAAeARf0jvLLQvv3++xdHI42Of52fH/Z7ixSWaqURMoGQkfhEUwPcsdXOeE5S8yT1R8xGF9p4R7IYOQEnRsuxT2SczO9BZtyq3YuKlpgnRS+a5Srit+ruxgKUCwhVeFVuk0kuxNKiL2XFI1mx1qICzabAmy5Y0uCF7t++c0v311f2T5xQGP5YzsUrOn77Q1/FhOiwFjrD1zQmhr+8a9duH6BohMB0g6AeyiIvlAKOpcL0VtJTR1tyrTExM1qyijj91M5vndVCJxdN0jI7K+Ci1NCHm8taEkvMVt5ENUxKlqnSgFvUlNS2kepqaS5N5iGUJnevtFRWLwvVZt1sZJvIY+PED5r1LInUeZGbhDGjMaOcht4Fyft1DXjL4rJmvCU7cNiWTDTnnKLedFBtOKg3bQQBR1//QGNosHLDglXkzugIZ07vjGW9T9o45oSH4xlPPngHfv/X3iwq3SteWNgdvthRdN48PT3hAEAjIhitUURclj22LVnzx7YEHLVsWYBlEdgZvXXWUpl+beOXa5mIZtPQkuQEtHmQGZdp5rldYkOynhzlcwzffpvPp3Pa13gYwG9NckifD/MsaoudFMs36oibXSWMKX5y5+WwbQ7Xkd2np2ouRid9jE5YcHJLan5h4DdPP3fl15/aEvKBle/4aUDvpwNwALjn7q/j169/A7Zt2/nc8mWLdnKOKwRr+BefPYH90028POLDtwHPAlwLcGz9TGBbRLoSqTGhbIvmNpSkzbLpZUkOQ5Iff44AJ20ATtos05Ysn2MBOI4K8FSRI5pxqZoPACCi7d0NMHQuIpl0pieVSTF9WTyIxMegVMC2BVyboZBvYNu+Ov7jgSKKXh49vQMThcqC3zlyaM/tBw64OP+S635asHvlvCjtxq/+yvVYuXwxAl78yuIlK9/9c1ecN/LGjRW848pDsKwQgsvbfWy9bQLHBjwb8BzAdYh8Vo3VLOPHbMu1MiuzQiWzcA4MunNcw/RDHmXCebTPOJroiiD9cbGcIP58Ja0irfvOhZPGOnFOwBhBGFEEEUEzoOpBEIQUQUgRRvIRMQrGCCgVYDzEbfdQPLO7BwNDZ4+sWrXs3cuHCl/p7B7ElVf94nGe4OMbr/gkMzve/vYbAAD16vgXCXHt5rj78f1bpnuJAFxbwLUkgD0FbscikqIoTitvmwJRBOiub2ZCrsnF2/54GQmq7m6nJdWZqPVRPRazAWYu2kJTVDXjDHjWz0gCXIDh8ye6f2nCxY96LPW/y32lgIpxIIxkEXrGE4ttWQI2E3FBfUIA2+IIQxsWpThrdQm53osPX3rZ+R9oBOEXe3s65wqRkzp+6gDXI1fowNjk1OdJ6UpS7il8bFH393rD6jg8h8J3qbLUkp5YVjJJI1CdtoisThpAqP4u6kcyfzD1nLWYBGgptCOEiDPStQWbkyvxZE/TZwC3hFx2jfEVCGLLHQfBMuAmbe5o5v9JID/EEgCoiClJM6BohNKaA3ISa1sEtiXAuNxPHofDtgA/Nx833vCGw8XeTR8E+OdL5VMDbuAUAhwAOsslTE7WbrvhLRujsu/ccs+3HugMaiPwHcC2qZxs2hS2BjrVlZdkb816kyGIgCBKfiCTm2ZHDFwkGIq1b8RI9Uq9R6TSu8QcAH0yXH3ZkaIaqs5Momk3MuMVoElc6D8Bub45icw/IYTyutBkf0v9EzXYqDUophs6IULNh2wB24bUGTF5R2WcoFLpRNfCC8bynZveJ7j9r46bewXOxtzHKQU4AJTLeTSa4ZfecsXZo6OHDiwr+OyTjz/+mBNGAq5jwXUpHFs/iOTmDlAPCPaOMhycIPAUJ7ct5TNXx44lpMgmA6QnXkRvM0QeMT8/Gm0Q0mMhl+WL1ER3lgvClLke7W4x00VjAj87QdYBGW3Rk3ckQRgt0pItYWXrGduSTcYqxSYaYYjhkTxqTUvNiZKHaxMITyBiHI0mcMb614f5DvH+Su+GHbbjf5Na7qmEFoBXAcABwPcc/uKL2+668e1vdrc8s7U2HZLP/vhHTxHXYTTnW3BsCtcm8Fwg5wmUCxx93TV4xUn88zeLoIGLrhwHJQS2jnoa9/O4bjbPTNS0xhlQ3BMzW+qZAGje3mec7Z74mJXrx/TErKmirDhNaIs8FxLMTCBVLplSBXLC4dgMlUITDFU8+EwOT79go6/TQjFH4XsWPFcam8iWVn1wAeVLV6wRle6lf9DVc/oXhg8eCAYXL39lTsQxjlcFwAFg1aoVuP/R54JCqfdL5d7q9889M7iONUb/cnzsIGxbug3znkCpwNFdDrBkQQ1VNgkOG7Wmh7KPWDmng0MA1A8pwc1UD0kgcW1pjkIM694uspcebZztaG+055zEJjIUyQxetTlEiwcFml7o2ic6fzWpdQJI/zZj0sUnG6xKs28JXTQVsCyOfK6JalDF8/t8vHSQwLVkHW99jsIIqHKGxYsWoNzV9edrV837mlso7Y3C54OennNOIZLS41UDcAC4YsNaAKjfddc3to71rP14f/lld2y0cNOu3fss8BCuI1DwGUqFEIVcAw4NIQQHU24QqrLwHVvyRBBIbsjkRCiMjOQTClhCkU2h6oRomqKDHjh2Pq0tedYfnx0xLTE9Nub2o7zWh0+5AM0ADxWwLNWoV70Gkv8/jChCRhFF0ltiW1JDwjlRgRtZBptzjqkmwVRdwHM4HIfAsgQcx8P8/kHW2dv7VxvOWfvxh7bsZm9808mXu57oeFUBXI+rr34rHnnwLrbpous+PDo6Yj+2ZfMf79z+tOfSceS8EHk/QM5rwnEiEGrFgizHkr5y35UgJwRoBgLVJkEtQKx5oVTA1uJ85U6Li+GIDP/O6jEyI2VJMy4cE3gzjRaPTcpnmT6maPtuGLxbxOCmsfJSNue1VRMCQNK4MLTQCCw0mhSEyPMGAI4t/dk6uVhEDPVQYLpJkGswlPI2uru6cN65ZzU3btz0v7u6uj78ldv/A79y/S+cati0Ha9KgAPApouuxuTkFCzCbjr//Avp0NDgxud+dA/t6hjbWPAP2wJ17DpkoR448B0ZDHJtwHeBvCddjY5DETGOiWaIQ0cImozCtwHf4vBsyUd1VDTpQ5n+Hu2UqglwScu6ExliDutmu6OYAXRZ/Uu2lHFtBsdmsO0IrsPAOHB4ohOHx/IIQumS9T0NcIEgstEIbHiOjYG+BsLnAhyatDA4vyPq6cltvuaaq/mypUs2M8ZvqlanUSi8cnLXEx2vWoADQLlc0osf3Pvi13HO2etKgk38kwv6S9PVp+l3t9ioTXjom8/hOwI5jyDnURRyFIWcjWLeQkeJY/3aSXzjh3V89+kiplkeHa4U5hObwOJSsBQLtjIj61dv4dnGylTxSy0hnYGrpKKm2ttjcHCTHqU4ecu3E6mXem6hH7bF4TgMnivvep5bxQPPurjrgQ7kKUO5QFDMU5SY9P7YloDn2JiuuViywMalZ0zhwac5hgZW8PNev/iOeV2F//HIk3umzjpz/amGx5zGqxrg5li06hdRm9g2JUjhXR5ZuH3vXmtdZy+5xrUOw7coci5F3iPI+xSFvI1ywUJnCRiYF2HdsgivXzuK6mfrePj5PkwSH7byuNhc1tzjGVVOitfOQhMSoKfrimf3MdfFGmySuCi1ByeFbvMxg1+/3ZfSVEX2UeJw7AieG6KYq+HxrRE+8vk+TEz4OGMwRF+3AOc2AAuEUti2Bc+xUW9YGJ+kWLHkdbhs08I7L9lw6bMbXrfw78Ym61Nnrxs61XCY83jNABwA8pUVAHDk4R/v+VCl/N7FF27cis7S1mte+MmzEOEkPNeNLXe5AHSUGIq5CM2AYu1iindcNYWf7ClhvOmiYRH4VtJ2T5vTJJhydN90Srxlroz90KrJqrGDCWZTJhD3zMk4aGaiJGaIPxXuV98omWhKCavnBJhuBPjCt4p4YWcJQ31AtcExWY3iyreWRVUGFUex2AFSPAenr1h+5z9evPY94NO7iTX/VEPgmMdrCuB6nL9+EPuHR3a/+aLT3jfYk/vSJect+8Md27ZetG/vDlA0UMgRlPIcpXyEvB/CsSM0mgRvOKeJ3tsbGD3AEAoHLFNOoZ3azxwZ7b96TgBs0pO0ohApr0qWcrRrOiWbu6aDMy2UBNkAVqLfjrXgqsyxbUXYP8LxrcdzEB5BMyKoBQTVulQA2pb0oOTzJfQPnoGly5Y+mM/n/s4tLHs6qIe7vfzJK+Xw0xyvSYADwIK+bgDYLoTYDuDZ+ynr3/D60/5x397ty4dfftbKeyEKuRCFXADPC0ApR86V3ZghGCJhq07B6oAxf01LTgnIjDQhS2PMiGJKMqCPo4cCoe50DZEIvUzwpzw60PqSdPRVu/WYArRtknhol6Gs3c0FR70JRJxjKgSmGgSezeBYHDnfwdlnr2enrV253bPD31m0dNMBAFvJ0W5jr/LxmgW4HuoH2DoxMb6VM/ZzpYI3sH796+7Yu+OBcsF6sdBRnEQh14BthQgDrlRZQgn6NS3ReaDESJVLuhu0gM2YaepJJDFMeGvyQ/J9OU/bZYqkTiBMmiLQMvFN603UdxMwVH40ET/F++vKukKpMgHOQkw0LQgOdFWKWL16oPoLV186CcGuXTS4cJ9Frd2vdWDr8ZoHuB6VSgcE57s7Orv21mrV0wp+uMF3z/5nEjweWezRrqgZljzHwxs31PHSnVzxX3nLl0kJQmYTKYmu5slc9UuXpUOStC4pR22TbQPzTpB0jADktSWPqS8s5XyH3C/2rKQoh7og4mMn+hINbiEAplydlAg4Nk9SzNT7wkjg7kc8NIMcKi6wcEF+6qLz149etXG1XfHpO1etWPJooVicAMB/VsAN/AwBHIAs6wvwZnXPWKWz/14Rja6svvzpZnnV1/9kct+jv15wnggvWj+2+p4fFP3JZohISCUi8QRsS+rPfZeoIBFBEApETIAxEVtqqsruESQgNgGRUBOiZKW6logEcBTJY0oFH2Cpi8S8O2igM130kibHlvmP8vswRhAwgiCUKHa5nFhGjIJzwCIMXISYqFoA7cKL+3ONpUNLXrj6guXOz195zpc2bvrQ39zwyMe8BT3lxr5DU3xVqXRsJ/w1MH52LtUZRlB7EYTa5MjeBzDZDK2pZuWz333cXVmf2H7Btx/fZx0cplhQipBzAlQKNspFG/mcDUqAsckIo5MyMEIJ4DqA5xCpV3cJHIemqAyBlPPaSvnoGtlHAkC9CUxNS5kvIPNMHVsGpKT2PeH/AkmFAdcR8DyBnMvhexyuLVV/jBOMTDg4Mk5BKUExx1HMRcj7Abo7OAbmVTEVcAxPrGPr1y78wZM73a07Xq7fODLqsOuv3oQgjMSZpy071T/RKzp+5gGeHSIaBSy/8+Ch4Y/efOvd7tPPjbDTB/2zCi7Onhg/AocG6O910FXhuOeHVRwedZFzCRxbIO8SFHIEBZ8i50tVnWUpisA4uJAZ9Y5K2vA9wPcEcgqckzWBZ7czTFU5fJfA8yhyrgXPs+C58oKwlDWPuKRHtgV4rkAhJ1DKMRTzDHk/gmtzeG6I4dEm7n6oAwWPoq+bYmG/j96eTpQK7ImBnv1P5io9VuD/ZsDpoj8lojY2uODVG3V8JcbPFEWZyyB2FwCMAfg9APivb38fBLioGQRXVqer11ISruou1eFjC/7zcYEDEwAlIfIu0FexkPMsUIvAcynyvgXbImg0gUaTg3EOm8oMJECCM+cKlPMMC3oaGKnW8F+PuZiacNHfJXmOY1F4ELAoia09YwSNmkAj4LBVd62cJ6sL5LwmKoUp5NwQvk9RYwz7Jiy86cLXYenCInq7/Rdz+cIdtu18uwY8OLTsQgB/fqpP+ykb/+0Anh1XXXkJADw4MjL2IICHOGfLwI7wsZef4OeesWbJGev6PvDYc7vRUfDRGDuI6doYynkHrk3QUaIo5RkazRDPbI8wMU1QKVqwbQIBC5RK61sqRJjXVQW3x3C41omxSQ+lHIfrCHBfTnJtC8h5HJVChPEqx4t7BJpNIO8TBAGBS4GuYoBKOYeFC3uR8yZBvVU4HIx8nFmNnZs2baJLFnVT17V3ALi3WOo41af2VTH+2wNcj+7uTgC4V79+Yec+3PgOr+OZrS9vrnOGQq4Qruxb896iJ95QzhPkfWDi8JPoKhyG5UzhuQMOxg6XkfcDNJshXFsg8ggsEiHv1pD3J2FNjSNqOhib9DGSl3y+6AOcSV92IWdjyQDw/L4aXjzowRUOVi0u4+JLzkVH2UZnmaNciO4rF4ZvyXlTDs2vx8YFSx+894L6OLGHTvUpfFWO/w/wGcbqJQMAMA7gGwCwY9cBAHiBgM13bXBKGLYFL6CSE/ByEajrYmyah7/8lvNuZqz+FgoelgoE/d0R5nXV4RQnQWtNvPlSHzv3l1HxHcyvCMzrcpD3LZQKtjO/p3B3QTxws+1wpxpSCGLD9YtYvWYNCgUPviOo45KDENhplRac6lP0mhj/7SaZr+T43gMPgxAyf3TkcIWzUBRyBPO7GLo7GrDtKnYeYnh+p41dw3l4xEVPRWBehwPPJSjkXTLQP39CCHFw9brzTvW/8jMz/h9yVMnE5RmK7gAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QyMTozOToyMiswMDowMM9VYy4AAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMjE6Mzk6MjIrMDA6MDC+CNuSAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 268792000
{'hecke_orbit_code': 148618787736787520, 'n': 1, 'trace_an': 1}
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id: 268792001
{'hecke_orbit_code': 148618787736787520, 'n': 2, 'trace_an': 0}
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id: 268792002
{'hecke_orbit_code': 148618787736787520, 'n': 3, 'trace_an': 1}
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id: 268792003
{'hecke_orbit_code': 148618787736787520, 'n': 4, 'trace_an': 0}
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id: 268792004
{'hecke_orbit_code': 148618787736787520, 'n': 5, 'trace_an': -1}
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id: 268792005
{'hecke_orbit_code': 148618787736787520, 'n': 6, 'trace_an': 0}
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id: 268792006
{'hecke_orbit_code': 148618787736787520, 'n': 7, 'trace_an': -1}
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id: 268792007
{'hecke_orbit_code': 148618787736787520, 'n': 8, 'trace_an': 0}
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id: 268792008
{'hecke_orbit_code': 148618787736787520, 'n': 9, 'trace_an': 1}
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id: 268792009
{'hecke_orbit_code': 148618787736787520, 'n': 10, 'trace_an': 0}
-
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