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{'Nk2': 5600, 'analytic_conductor': 11.179056282979253, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, -1], [7, -1]], 'atkin_lehner_string': '+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1400, 1, [351, 701, 1177, 801], [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': [[3, [0, 1]], [11, [-1, 1]], [13, [2, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425149304, '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': True, 'label': '1400.2.a.h', 'level': 1400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '1400.2.a.f', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{7}-3q^{9}+q^{11}-2q^{13}-4q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/1400/h'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1400.2.a', 'trace_display': [0, 0, 0, 1], 'trace_hash': 1495273999360125912, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.001', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.975', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [0], [0], [1], [0], [-3], [0], [1], [0], [-2], [0], [0], [0], [-4], [0], [-2], [0], [0], [0], [-5], [0], [0], [0], [0], [0], [1], [0], [-2], [0], [0], [0], [0], [0], [-3], [0], [0], [0], [12], [0], [-11], [0], [0], [0], [-2], [0], [1], [0], [0], [0], [-6], [0], [0], [0], [0], [0], [-10], [0], [4], [0], [-3], [0], [0], [0], [-1], [0], [0], [0], [-3], [0], [0], [0], [0], [0], [1], [0], [-9], [0], [9], [0], [2], [0], [0], [0], [0], [0], [-6], [0], [-2], [0], [0], [0], [0], [0], [-14], [0], [-3], [0]], 'ap': [[0], [0], [0], [1], [1], [-2], [-4], [-2], [-5], [1], [-2], [-3], [12], [-11], [-2], [-6], [-10], [4], [-1], [-3], [0], [-9], [2], [-6], [-14], [12], [-14], [12], [5], [3], [3], [-12], [-14], [12], [11], [5], [-8], [-8], [-6], [2], [-4], [20], [-16], [19], [19], [20], [-28], [20], [18], [10], [-3], [-12], [-10], [24], [18], [21], [26], [-30], [-22], [-11], [14], [22], [-32], [8], [14], [15], [-9], [-2], [-7], [30], [14], [-15], [-16], [-29], [31], [-6], [33], [34], [-27], [-14], [-6], [-21], [32], [20], [34], [24], [-21], [-17], [30], [-24], [-22], [-14], [1], [-27], [-4], [30], [-26], [-2], [-8], [-41], [-1], [11], [-2], [-19], [43], [-46], [-36], [-24], [-9], [16], [-42], [-27], [33], [-22], [19], [-15], [-36], [-18], [-34], [-12], [-18], [-6], [46], [9], [-28], [38], [-10], [-32], [-16], [-36], [-3], [-12], [12], [17], [0], [-32], [-30], [20], [0], [-9], [26], [10], [31], [-27], [16], [32], [-16], [12], [50], [-51], [-26], [18], [-25], [-44], [-12], [-41], [-25], [-20], [-20], [-14], [28], [-9], [-24], [-22], [-7], [30], [-61], [-6], [-13], [56], [-25], [-14], [59], [2], [20], [12], [19], [26], [34], [-2], [41], [-48], [41], [46], [35], [26], [-37], [-22], [17], [-20], [-10], [51], [-55], [38], [61], [-4], [-3], [69], [38], [14], [18], [-62], [14], [0], [-48], [-28], [34], [28], [39], [-16], [-35], [8], [-31], [-48], [-44], [24], [37], [-46], [-21], [13], [17], [52], [43], [3], [6], [22], [56], [11], [8], [-7], [37], [-30], [-4], [-5], [-66], [54], [36], [27], [25], [-72], [-17], [34], [34], [-29], [-58], [-28], [58], [-46], [-44], [-40], [30], [28], [0], [8], [74], [-36], [-55], [0], [-42], [42], [-32], [29], [-66], [-10], [32], [64], [-29], [-60], [69], [-59], [-4], [-20], [-24], [-73], [32], [-16], [-11], [-22], [83], [-48], [-60], [0], [14], [-56], [-8], [25], [11], [-57], [-36], [-18], [-5], [-66], [-15], [48], [-41], [24], [56], [-6], [-20], [54], [-36], [-66], [-61], [77], [51], [34], [3], [-62], [3], [2], [-8], [-54], [9], [-44], [-61], [-20], [-86], [-60], [16], [-35], [-28], [26], [-42], [-29], [-77], [54], [67], [38], [-37], [9], [14], [-47], [10], [-92], [52], [-30], [-55], [-42], [-38], [72], [50], [-39], [-56], [59], [73], [61], [-8], [13], [-66], [-48], [64], [3], [34], [74], [-85], [-74], [-30], [88], [22], [92], [-49], [-62], [-40], [69], [-18], [10], [42], [29], [-13], [-51], [50], [-73], [18], [18], [11], [-48], [29], [-16], [-18], [44], [-64], [-29], [-9], [75], [-12], [4], [-59], [78], [81], [52], [49], [78], [33], [58], [53], [29], [-28], [6], [56], [21], [18], [-45], [-77], [-42], [-42], [66], [103], [-90], [52], [42], [-14], [-3], [-4], [7], [61], [-42], [-32], [52], [-12], [18], [-30], [28], [64], [40], [-30], [-36], [33], [-30], [-64], [74]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 31525197425149304, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1400.2.a.h', 'level': 1400, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [7, -1]], 5, 4], [[[2, -1], [5, -1], [7, -1]], 5, 2], [[[2, 1], [5, -1], [7, -1]], 2, 2], [[[2, 1], [5, 1], [7, 1]], 4, 2], [[[2, 1], [5, -1], [7, 1]], 4, 2], [[[2, -1], [5, -1], [7, 1]], 3, 3], [[[2, -1], [5, 1], [7, -1]], 2, 2], [[[2, -1], [5, 1], [7, 1]], 3, 3]], 'ALdims': [4, 5, 4, 2, 3, 2, 3, 5], 'Nk2': 5600, 'analytic_conductor': 11.179056282979253, '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': [1400, 1, [351, 701, 1177, 801], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 217, 'dim': 28, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11, 13], 'hecke_orbit_code': 33555832, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3], 'label': '1400.2.a', 'level': 1400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 264, 'mf_new_dim': 28, 'num_forms': 20, 'plus_dim': 11, 'prim_orbit_index': 1, 'relative_dim': 28, 'sturm_bound': 480, 'trace_bound': 13, 'trace_display': [0, 2, 0, 0], 'traces': [28, 0, 2, 0, 0, 0, 0, 0, 20, 0, 8, 0, -2, 0, 0, 0, -4, 0, 6, 0, -2, 0, 0, 0, 0, 0, 20, 0, 12, 0, -4, 0, -24, 0, 0, 0, 12, 0, 0, 0, 16, 0, 4, 0, 0, 0, -4, 0, 28, 0, 56, 0, 24, 0, 0, 0, 12, 0, 18, 0, 38, 0, -4, 0, 0, 0, 32, 0, 8, 0, -8, 0, -8, 0, 0, 0, 4, 0, -16, 0, 0, 0, -26, 0, 0, 0, 12, 0, 4, 0, 10, 0, 32, 0, 0, 0, -36, 0, 44, 0, -66, 0, 44, 0, 0, 0, -24, 0, -44, 0, -44, 0, -12, 0, 0, 0, 62, 0, -4, 0, 16, 0, -76, 0, 0, 0, -16, 0, 8, 0, -6, 0, 14, 0, 0, 0, 0, 0, -38, 0, 56, 0, -64, 0, 0, 0, 2, 0, -48, 0, 16, 0, -20, 0, 0, 0, -10, 0, 20, 0, -8, 0, 28, 0, 0, 0, -28, 0, 32, 0, 34, 0, -42, 0, 0, 0, -4, 0, -4, 0, -78, 0, 64, 0, 0, 0, -48, 0, 4, 0, 72, 0, 12, 0, 0, 0, 32, 0, 36, 0, -20, 0, -20, 0, 0, 0, -32, 0, -108, 0, -12, 0, 16, 0, 0, 0, -12, 0, 64, 0, -92, 0, 48, 0, 0, 0, 22, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 725910
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1400.2.a.h', 'source_level': 1400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1400.2.a.f', 'target_level': 1400, 'twist_class_label': '1400.2.a.f', 'twist_class_level': 1400, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 725911
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1400.2.a.h', 'source_level': 1400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1400.2.a.h', 'target_level': 1400, 'twist_class_label': '1400.2.a.f', 'twist_class_level': 1400, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 725912
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1400.2.a.h', 'source_level': 1400, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1400.2.g.h', 'target_level': 1400, 'twist_class_label': '1400.2.a.f', 'twist_class_level': 1400, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 725913
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1400.2.a.h', 'source_level': 1400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2800.2.a.n', 'target_level': 2800, 'twist_class_label': '1400.2.a.f', 'twist_class_level': 1400, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 725914
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1400.2.a.h', 'source_level': 1400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2800.2.a.r', 'target_level': 2800, 'twist_class_label': '1400.2.a.f', 'twist_class_level': 1400, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 725915
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1400.2.a.h', 'source_level': 1400, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2800.2.g.o', 'target_level': 2800, 'twist_class_label': '1400.2.a.f', 'twist_class_level': 1400, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 725916
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1400.2.a.h', 'source_level': 1400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '9800.2.a.v', 'target_level': 9800, 'twist_class_label': '1400.2.a.f', 'twist_class_level': 1400, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 725917
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1400.2.a.h', 'source_level': 1400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '9800.2.a.w', 'target_level': 9800, 'twist_class_label': '1400.2.a.f', 'twist_class_level': 1400, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1920225
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 2}
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id: 1920226
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 3}
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id: 1920227
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 5}
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id: 1920228
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 7}
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id: 1920229
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 11}
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id: 1920230
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 13}
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id: 1920231
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 17}
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id: 1920232
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 19}
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id: 1920233
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 23}
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id: 1920234
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 29}
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id: 1920235
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 31}
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id: 1920236
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 37}
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id: 1920237
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 41}
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id: 1920238
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 43}
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id: 1920239
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 47}
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id: 1920240
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 53}
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id: 1920241
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 59}
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id: 1920242
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 61}
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id: 1920243
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 67}
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id: 1920244
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 71}
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id: 1920245
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 73}
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id: 1920246
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 79}
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id: 1920247
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 83}
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id: 1920248
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 89}
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id: 1920249
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 31525197425149304, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '1400.2.a.h', 'level': 1400, 'portrait': 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FhuB7T7gkHssdITbJowLLUMJ84rKp7PpmnYNheycWbAhpkhm2aGbNto2bFJcdl2j6qqc/REk3uf9Hn4QMzjxyMS1eENN7d4y4ssVTXDgeOTHD2jOT2fcC4F96FFy/VXLPCL37/C9tkJzsxPMr9SYanlsdySrHQSOt2E7kBw4NgiB0+2Lnvs4MJLjp46v+vYmfkv3vSqt4V3feljzzUkvqnbP2gGX1lp0RtYPM2vff3RIy/6j7/7cfn2mw696KffekovrGxkudVkqVVjqeWz1NIstWC5lbDcilhaTTi3CoeXBHOzq/zXH1zihktqnDw/zZn5OmcWNeeXLOcWY04tJMx3YianB7z4qi4v2AO+rBKogPPLFc4uas4tC3pDiGNDxTfUKwlTEzEGOH4upt2FnRs96tUh1goQPt2+YcemIUurGqyTIqtdGMZgsSy3QrZu8Oj0FUJZhBnSrHjs2DxgtSc4fkaTGM1MU9KoCAIP4ljQG0rOLUvOLlnOr8QEwQC8mJsu7/KiKwRzzSpLK01Ong84swjnF2POL8ecXobDS5brLl/kl39whU2TTU6cm+bcUpWFFZ/FlmR5NWGlHbHSTljuGBY7kpNtWF3u8Ns/PYy/91XVu4O5HzN+/bK7lUx+PowDKtXmcw2VZ7z9g2XwD/zZx3nhTdfyM//h//7VD3/i9p9+94e+ctG+E6u7Dp3pyhdf2eGCLYbEaKxVWOvYGysBCQiEsGhh8SWcWapy/yHJVRcus2f7gFoFPC3xPYXva+pVSc2T9Loe+49VuO1hn+PzQ9pxxP6TQzbOLPPGF69w1UUdrtvT4thizGJPUAsGHDljabXrXHmBZHWQsPeYolHTPHUcLt5iGYQJg8RH64ipBuw7GaB0gidjtAf9oeSGPT36PclVFyW0+wnHzzTYvUlRr4WsDi0bJnusdNt89HZ49GjC40cH7NyyxNWXtpmaDnn9TR2+86WWCzc1SKJJjp6e4PApj5PnDKfmI07NJxyeF5xYjXjeJQv81x/ssHFykpPnpjm/VGNh1WepJVlpJbQ6EavdhJWuZbkrON9TrLRjrt+zyDvfNC+rml2L54/v7vaSG73ahdVaferLD9/7t/zxez78XENm3ds/SAb/yEf/hqv2bFV33n/oPx8+du4XHnnymDq7HLI4UJztWa7aeZ7f/skFrrmwxvmlKZZaNZZbFZZbHsttzUoHVloJK+2Y5U7MYgtOrgh0dcALr1jmu14asntDndVuk/nlKgvLPostwXLLSYSVjqHdN7SHlt4gZqYZsWOjAQSBZzk17yFkwM4Nit1bLFs29Di/MuSxgw2ef7GlVl3hyUPTNOohYegxM2XoD+CyHQM+dPskl26PGQ4tsxOSKOnTqAQ8dWxA1atzzSUxjx8JOb/ks3UmYPdm2LEpRKmIU4vgexYhLDs3xkw1JJ1+QLfn0e55LLcVy6uw1DIstxIWWwnnWrA0SNixtct3vWyRF+7RVLwmZxebLK5UWFzVLLcFKy3DaidipZOw2rUsdeFcR3F+NeaGS8/xrp9c4uKtdZZaTVbaFTqDCXTlwsSrbv7Vobzglz1zJnnJLf/0uYbOmts/KIAfOHiAaqVSPX361I5HHnnqHUePn/6VfYdO0Q8l3QGs9h2jnOnEXHfBOX7rJ5e5+oIq8ytTLK3WWGlXWG57rLQ1K21odQyrnZiVTsxy23K+JTjTtSC6vOXmFq+/wXDB5gphWGOlVWG169PqKFa6gk5PMBhawtiSJKCkJfCgGlgmm5YN0xHaG3D4bMgThwJMXOe1N4Zob5WH9k6wazN8/v6Ym68MmG/1qWhFnERMT0EceWgvZmmpxouvbfP5exrs3gwPHhziUeM1Nxhi0eeJwwlHT1XQ0mfjlGaqLqgGAt8XKAGxgTCyDELo9CyrXUOnZ1jtGZa6ln6SsHNbj9e/oMVbXhSCabC0OsH8ctXp7bZmpQWrnYRWN2Y1BfdyD862FQvthOsuOc+7fnKey3dWWViZZLVTo9UN6HQ9VtoCr7aNWmPjf9q0dc9fbdu29cRgMOhfcsmlzzWU8ts/GICfOHaQublZ/+Chwz984MChP3jgoUfF0nJXDoaG7sDQGVg6fVjtS+b7krOdiBsumuc3fmyJay+qsLg6ydJqnZV2wGrHZ6WjWe0IWh1Lq5uw2olpdQ0rXct8R3C2ZZia7PGq6zrctCdm50ZFs+rR7lQIPAkowlhijMBY6A0AYZhqDDh42mJsyK0P1hn2qly01eeFV/WIzCp3PDzJNRd7HDzXpbXS5AVX9fjyQwEbpy17j1v+1Zvb7D0WsHFactvDihdepljutTlycpprLgm544k+8bDGTZf7XLh9QD/u8qWHFCSCw6c0zZpGC+j1JcYKEmOJYkAatG9odS31RsT2zUNedFmPVz0/ZqZe4fzyBEurVec4dTQrbUGrC61OTKsb0+omtHqW5Z7kXEew2Im58dIFfvXHFrh6d4WF1QlWOzXa3YB2z6PT03R6ik5fEJmKueCiK+2u3Re+c/fuiz6wtLQQXrbnHwbI/0EAPAxjGQ77b7zv7s9fNAzjdz3wwENefwiDEPqDmN4goTswdAeWTl/Q6gvm+5IzrZibLpvn135sgedf6LPanmBhpUGrW2G147Pa1bQ6ilYPOl1LuxfT7iZ0+4ZWz7LQFSx0IUqGXH1xn03TCd2e5XUvGLJrkyFOJFpawgi+9liFE/MVNk/FPHm4AqbGnm2Kay81BJUeDx3ssbBY54pddZqTK9zzuMf1F1dY6q2ystJk0ybL/XsV3/fyLg/s1Wzb4LHYbbGyPM21l/W458mE6eokV1zUZb7V4v6nJ6nqOtddarlkxwBkl8eOCjZMR5xfiLjjMY9BpJASEmPZtTnkVS8I6XQVW6YM114MYVhjuVVjuRWw2vVo9xStrqTdhXYvod1N6PQS2j3Das+y3Jecbgta/SEvvGSBX/7RFa672F0crU6Vdi+g0/Po9DXtnqI7kPT6gk4voduPueaa6yKp9M9851veeKhWq35Ga88819h6zjOZJulgks4Pnj3x8G8vnj84vbi4TL3q0tRCWLAKW/w2AqdBpbRIqXngwEZ+/r2aN79wme9++TK7t4acW2oS+FWqgU8t8KhXNZ2qpNH3mKhrd8H0EzYODf2hpTMIWF6ocOqkJYwNp8/FBIEFBL6yaCno9RUCj7ined4uwYVbLDu29hgmHb7wgGLfoSle/fyAay9b4YNfsPiixq6tPR6/R7F1UjHb7FFRVcLIY74D9Ypm20bBo/tCrr2kykuvWeRPP9vH9xq88kaLF/T4yv0hn7+vztNHq1ywpcauzQlzUyG7ZyOu3JWglEErC1hqQcDcZEAYeXR6Pk8e9FyJQt8BsduH7sDS7bnv3ukndPuWdt+y2oeFnuL8iqU20eKnXrvAP33hkKsvqHN2sUmrW6GTg1vR7St6A0l/IOgPLcMIohi+fvcD3uTUzG9PTm9cfsmLb/x3K6u9P52arD2n+HpOAT4Y9IkifvT0sbt+7diBL08nwx4V38emTohFAAqEW2qEAClcJ42SFiUTfCl5/OAcjxyoc/DMPG9+UZcXXT5gstFkuVWj3q7Q7Pt0e9qdnIGkP9D0hprB0DIIDWFkiSJLnLh7GPtYA1IJPC2o+ILJhmCqAZtmDds29pidavHFh+DORzykmeDVz/d43p4Odz0dEQ6avPB5gla/z/xSnZsuMcxO9qjqgEGsWGhHKCN43iWaWmPIw/srvOTaCV5wdYeH9yuwEzz/cp8fecMyX3405LYH6uw9UWHHnGLTdJWpRo2JBlQD8LRFSTAW9h4VJIkgigVhDMMI9x2HCf2hYTA09AaG3tDQ7UN7CAtdyXwHhmbAK65Z5o0vavG9rzTEcZNzi3Xa3Qqdvk+379HtKzp9RW8g6KXg7g8Mg2HCMDT0h4Zzh89w7PQXpweh+X/e/IaX6F6v995a7bkD+XMG8DhcRMrwR+ZP3vFrZ4/evsHEHRp1H6USRApohEQgEEIhhEBKUnCDUhatLJ4yVD3BYq/KR27fxlceaXPzlat8/ytWuXJ3l5nJGkurNTr9gF7fS4Gt3D0UDCNJFAvi2C31Nl0ulLRoDRUfalXDdCNi64YeMV0Ono746B0VjpysMxlUuf5yzU1Xtbn/QItb721y48UVdmzu8aHbBUoENBsRq90hxoISMNfs0e74mLjKG2+e5yOfr3Hh+Qqvv7FHGC1xxxMzREmFGy7fwOuvb3Px9hZfebjH4ydrPHbUZ9u0ZLopqAUC33MXoRQghMVYMMYSxenFGlmGkbuQByH0Q+gMBCtDwXIHhB5wzaWrfP+rVrn58oSZZpWVdo1Wp0qnF9AdeHT7xUrQG0r6A+ilF85gkNAPTUoWkBjF+cUWf/bR2zZ0BvbX3vJPbranzq2+b9umyX/8AF9sWZRGTB4VduHMZ3+IpPWuzuITs77sUqtUESLB6RGBEDjmFhIhBEJIlNRImaCUSJdng6csgbZUtWBloFhqTfGxr9W578kuL7x6le9/5SrXXNhiJqkSxwG9QYVu36M/1ISRIoolcSJJjMBY4bKgwhL4hlolJvBDfG/I6aUhn31QcuiUz9FTUygTcOFmn8t2K56/p40KFnjicIOtkzWuuAA2za2w3G5y5VZJbCxffCBg2JNM1mNec8OAz9wRceJcg0sv8ji7OuCpIx7bN05x9e4F7nq8wz1PCYahz57d0+zZHrBnW4fDZ5c5dBoe2Ffj4JE6NS0ItKQeWCoeSOmIwVp3scYJhDGEiaA7FLQHgnYEoYkxdsB1F7f5/le1ufnKhM3TAYPBBEutCp1uQHfg0+trugNFb6DoDwX9gaQ/dH2jg2HiPP6hA3c/NAxCB/LIKI6cbvGHH/7qhkcPLbxr41Qt/sXf/uIHPX2Q//yv3/mPF+BJMgBRuflI7eH3sfSH03V9dlbhUa9WkDJ02lpYx+BCIQSOraVAKYFWKn00aJXgaYGvDb5nCTxLzU+YrAg6Q4+V9hQfv7PJ7Y8N2DjV4x0va7Fn+4BBv8sVuy3bNymGkUeSFGl+gUVKg6cTjp+3HD0nWO0bPnVXjdOLU9jQY6qi2DKj2blJc8FWuOLCNkYu8u7P1FlenuDGPZorLmzxlccEIvbYMCWp12J6kY+0EqxEaZ/WQHB+WXC5rfGy53e4++EqW2Z9brximn/+hkU+8PkOD+yv0x14LK022L2lyqWbe9xwSYe3vqTDmeVlPnVXwFIv4PhZj9OnfTwlkNKtesZaEgORsSSxYWom4qrLewyHEXu2D3nby4ZsmFBMNwKiqMLZhQq9vk9v6Fa5fg5s6cA9FAyGuJVgmDAIDcMwccwd2RTk0I8E/VDQTzSnzrR5+q/vmX3lddO/+6qbZ6MPfmH1w+/78O/xI9/7r//xAfydv/KXbJyuiPd/5E92ry7tu2T37FO87gUeggYCmYKaHOBSWKR0UkFKiZISrQRapY9a4OkEXwt8z1DxLNXIUgstE5WEqaqgF0o6YZ2jp+r8xoenwcSIOOb5V/XYvSkkjsFYg7UuiSOFQCqB9nz2n/DZe6hCvaJp+JLZmmBuRrJhWrNlTrFzc8KlO1dJxBK/94kmx09McuMlHnt2JfTjDvc+ETBZ9ZiZsEw2QmpVJ4WMkbQGiuWuZamV0OpWefEVqzy4t8e+E4rJZoUbLp/kx964xO9/Eh4+VKfbt6x2NOeXm2yarbFhasDOmQH/99t7NGstHj8K+09KPM+ilEUIA1j3PwtxDLs2Jbzwypgk8ojiAGtrDEKPc4s+/aFb0QahyuVbPxQMhoJB6Fh7GLqs7HBoGIaGQWTS92zO3P1I0I8EnVCwEgm6iSXp9LD9I5NzlW3v+e//4uL4Fa98xcfe/tLftxPb/9U/HoD/zK9/hIu3TKkf/U9//pb3/O3Cu+9/5CSvvKbJ7i1t9mzvIKVBCHeXIkBKi5IeSlmUVCilUr0t8bTTnL6nGHqSYWgIwoRhZKlGhmFkCENLM4ZhZBjGEMaCQSQZJgFRUmHfoTqP7YPEWhy0nTb2JPjK1Xw0ArhiMzSrMFGXTDUUM5OaDdOwY9OQzXOrRHaZ3/vEBIePTHDtBYoLtkku3LbCV5+KOb80wfN3S6aahorfJ5ABVgniRCKsJU5CVroVzi95XLunyvMu6XDXwxU2TglqlQbXXmL4qbcs8bufNDx1usFq17DaUSysaGYn60w1q0w1J2jWIubqETuvDQm8GE/HKJUghQsmLO6iiiLF/IImihVRrAgjxTBKH0PJMJIMQ8kglAxD4QLUUDAMLcPQHddhmBCGqaaP3PuDEAaRYBBBLwe3pBvGmEGP512wwk991yov2LNQS5T3waWjt5lYXviJ+SPvSTZc8GPf/gD/V7/6UYxfUfcenH/bwaNn//Tex85UYjHL5+/30Vryyz+2ymXbOyiZIJVx4FYeShn3KC2esnha4WmLF0p8T7iT4AmGviKMHNCjyBLGiXNF4tI9gTixJIkhMTi9bcjBnUkhLcHzINCCSiCoBZJ6TTFRk0xNCDZMx+zc1KNRX+UTd4fc8cQ0q4tNrtqh2LnZ4+LtAxKxyhcfqFH3NHNTikZtwBOH4ekjmiu3W3pDxdUXR1x1oeXc2YSFFZ/+oMZrr+/w9cf7HDytqFclgd/kygsMv/xDS3ztqT6f+dosS23Lzg0JKy3NZFMxUfdo1DzqVUslMAS+IdAJWjmpJdPWSmtxCSsjiI0kTgRxLIhiSRgLokgyjJzzEkaCMLKEIQyjhDAyhCXiGEbluwN3PwV3O5K0IugNI2TU5dpdK/zSjy/z2hsMnV6TQfdoJUkqf15t2H8W1Cb+unXqD5OJbf/y2xvgF0wksjtY+e5Hjp35o0eeOlGZqCrasSISE3z6HkU4VLztljZvf0WXqWZCRxq0TFKd7fSwpzVepAm0YuA5phl6ktAXhJFwJydSRDGEkXQOQlzYfnFiSBLnLiQ2dUpStyRzZ5R0ssfXgsCXVAJJvSpo1iyTDcPG6SFzUx1iu8rHvi75wOdn2FCpcNUOwY7NHru2GHZuXuET91qWlyvs2aSYakKjFnH+mGR+JcDfDcNIMDchmZyEg0ctK23DucUKF++q8PLnd/jsnRVmGhD4PkpOcuWFgh9//TyenOfTd03x9OkKG9sRGyZjJuqKRlVRq0qqgSbwIfBAa+cwSQFSlECOu7ATA0kiiBNSoEOUWMIYoihxpBAZwuwxMqntmLkyqQUZO0nSjQTtWNKJDOEgZCJo812vXeLtL+vyymuh3W3QHwbExse0D1XiRL5nfnlSGzv5lzie+fYE+Oc//znixPzQZ7/82G/Nnzje3NLQDGKLQtAWHkPR4IsPaO59qsLZlSX+1Vt7TDVjhkGFdq+CVj6e9vC0hx8mhJ7GD500CSOXSneMIxwTpawUxxAlkCTOSTDGBVzG2KyHMwW3A7gLXAWedgCpBFCrGBrVmMlGzNxkn9mpVe7eF/Lnt1bZf3SSXRMeF26CbZt8tm2ES3e06cVt7t/bpKo85qYUkw2YbAyZmojxfY0Q7uLqD32W2xGrPUurGzO/4rNjU4MX7Jnn1gd67D/dpBZEeMpHiAku3Kr4gVcuct2l8/z5rQ3uf3KSpa5mQzNmshZTq0iqFUXgCQJP4nkuVlGK1D50KLe4HlZjyIEeJyZd3VJrMTbEiQN3HEEY2+IeOVdmEDtS6UWCdizoxDAYxJi4z0y1zTu/c5l//z1daoFPq1NlGAYMI58w8ogiTXd5vtk3U7+XeFf5t37psx949Wve8O0H8PmlFkrKH33fn3/y1w4ePjXTrAi82KJTKaBjB/K+lKwONb/1Vx57D6/wxpd0edk1HTbOhnTaVfrDAN+LCXyPYagJfGfvZQCPIkkYu2U3ilNPOyG1/kiZW2IsBbhdkjJlbtDKJUx8z1LxDdVKTKMSM9Ucsnm2zflWjz/4lMcXH5xmeaXORXOCHRsEWzf4bNsg2L1lgPZX+cgdmiMn61yyUTLVkEzUE6QccnrBEmiJFGCtIIw0Oze0eYCEdk+x0racX65yybYKb31Zi7/+is+x8wGejhDCw9g6USx5/u4Vdn5Pmy8+3ONDX5zmoWN1tk4JZusJ9UpCxRcEnsD3XKyiFS5wliKvybC4i8xYnNOSOMBnII8TJ+kc2CFMXK1LmCWPYkE/hk4s6cTQDw1Jb8i22Q4vvXaFN72kx+uuN2hRY2W1wjAKCEOPMPIII80w0vSHmt7g1My23dvedfX1b1VRuPpez//f45P/bwH46moL3/f++ac/f8ev3XXvExuiyOBpAdhU71qUFHhS0JWSjqzQCjUf+WqFrz3e4do9bb7nlT1ef2OLmcmA/iCgP/QJPI8wdgcqC5TiWBElkjiWRIkgjiVJIkiMKLS2EeSqxGZujUsWqTRZ5HuGwE+oBjGN6pDZyS79qM9XnrB89KsT3P/kJFO+x5VbLZunJRtnfLbMSbZtDLlg6wqPH+vzqa/PMaE0cxOCZl3QrEW0egmfv7dCw3ff3VjoDzVvfOGQz93namJaXcP8imbbhgZvflGX+/d12HvQpx7EKCkcyE2NQei0/g+8vMUlm+f5yNfa3PP0JCdWqmxqCiYqlppvqGiD74FWAiVJE2Tue2flRyaVasYUK1ycAt0RBESJIEpSYCeCQSzoxYJugot5wpB6tcebX73Md7+yzfMvSdg45dEf1Gl3fcKUtYcpuDNiihOJpy2txac3HNq39dd2XvQS0+20319vfOsbJ76lAF9cWoW4h5L84B133vWbX/7yV2aiwQq1iiJJUk0oLUo410KnzkUgoSM9ep7iVDvgzH017nuiy19f1eFtL+/zmhcOmJ70CYcBw9ixQRRrohToceIOWpxIkqQAuLEpc5uipkyI7CJzdRxaG3wvIfAjqkFIo9onoc+XH5Z8+PZJnjw6gYgCdk1ZNk9aZicVc9M+m2YlW+Yidmxqc3Khwx9/pk48rLJtm2CyoWnWoVmLEF5Iu19nsmERQmAtRLFkOlDEJqYT+XR6CSttxemFKpdf0OAnvmOVd/1lwPGFOlpF6YWhieMKg1CyaSbg+Re1ueqCLk8dP81Hv1rl1ocmOdOqUg8UDR/qnsXXFk+Bli6dn2eI05sBrHEXXWIEiYU4Ec4/TwRh4pJE/UTQT6AfW+I4xkRDZip9XvuKVd7xig43XxkxUfUIozorLSdHolinrK3S54owVkSRTJNrgpVWj1Pn79yw0tW/uefy6+ITp8782YaZOpXqt25+4rcU4L1en1qt9qY77nrw97/wxS83u502jap2wUosSrUkKYNKi04snhT4ylBNBD3l04s188MKn76vzh1P9rjhti7/+js7XLajzYZJRbOmHTvEHnFcgDzJAG4kxkqsdZLA5gFlmupX1gWxOibwYzwV0u5HLLQjfucTFY7OT/Hw3kms8ZmpCjbMWmYnBDNNxcykx8YZyaaZmK1zPWYmV/jiI4aHnp7kqm2CqYakUZM0a4Z6NUR4Q4JAo5X7+9ZCkkj6Q01/EBEbQadv6HQty22Pc0tNbrq0ywsuX+Ujt1WoLiu0jBwgrSZOfMLI9XjOTla47sIu113U5YGXnuH4guTPb51kfrXGqaUAX0nqnsDPZJh0xz4n8kyq4Jg8toLYQGQEwwQGMYTGQhJDHCHVkC1Tfa7a6c7H9ZclNKuaOK7T6jhgxymw3QqrU9lYAnci00dBGEm6/Q5PPPzVmVpF/v7Fl167Mhz2P/WtxOS3DOD7Dxxg+7ZN6gMf/MuLnt57oLm8vILnaZC2kATSEiUCFdsU3KATgacsfmypJIKaEvSVoKcD+onHUljl1ocmuPvpPvVgyD97XYttMzG7tvS56YoOWrgWMSGcXHFZSVcrbW2JubEIaVHCeeaWGGTMU0clD+7TfPb+Bk+daBDGNRpaMVe1TNctUzXrfPCmZnpCMzMp2DQds2Wuz+a5Fe54csi7P7uBzZOauSY064pmXdCoxVSDIXcfUAxCjVd3oLJWEMaSilZcc0mf+56YdIVP/YTVtsfiasD5xSl+4vXnObW4xH2PzuFJQEQYyAE0DCXdvmaqUWGyWecFl/R46VU9vueWBfadNHzu/gr376ty4EidWGiGQ0UvUqi89KEceKY5AWuIjcUagycSJvyQChEvuLbL7s0Dts1GfP9rhlR9Sb3qEYY1Wh0/XUl1Sjgq99rdXa695zal0029bovHHr6ruXD+3EW3vPrt6tjRQ8mu3Rf9wwH4Y48/hR80/QcffPCHfW1+q9ddoVb1MKnRLMgykwIpXfmpinESIbHoGDwp8IwlSCwVJaglgqGBQeLRTzx6SYVOJ+E3PzKFjSM2zg24fMeAmYmYt728z44NIVEkUr0tocTcZFlSaRBS8PGvVXn8cB2hNcfP1Dh9vkalqpgIBJN1S7NiaFagURVM1BTNhmKqoZmZhNnJmI0zA7ZuaJPYVT7+9Sb9bp2Lt1maNUWjJmlUDY1KjOeFfPG+CsOexNvgukUziVKvKl57Q587HzF0h5JuP6Hd06x2NOeWaly2u8Hbbm7z8FM1ji83UNIAUaqXPaJEMYxcYqY70LS6Po1qjXp1yGXbBtx46YCT8y2OnV1FewmPHdH89VdrCOUK1xifP2gNYMBaojBh58aYd7y8z2wz4dKdlo0zkMQew7BBHHustD3iSBElOo2DHKAzgLuYqJAjhQFQGAFRLFK7UnP67ArVZvxbjz36YO/KK3Z84PjRp8Kdu6/4hwHwY8dP4PvnL1mYP/MHTzz+sAx8mX5wi0wsSlhiaVNwQ5ym4GMj0LHTiVFi8RKnAQNtqSSWOBGExhImgqGRDBNJaDwiAwvdJl993GBJ+Nv7o7RQy6T3LIuXWmQiq0iUSKWII400Gk9LGgHsnrPUPUMtMNQCqAWCelXSqDo5NNGQTDVhZiJmbmrIlrkOCSv8zt9UuOuJDVw4A1O1lL1rkkY1plYNqdf6VKs1AiVRMtXgODkQRR6DvqA/TOgMleta6hvXMlf3OXV+ghdfPuSn3n6e3/5rzYnVACEM1kaYxBLFHmEkGQxdGWujr6lXfGrVCrWgRiWIaFRDnn9xiO9FXH9xzPe/oodWcZoEMq7evizKU0lnjEQISeApwGcw1CytaFe3k2QxT3qPZREDpYVrGbgzYGeJpTgNWovXqeZPnB15730PSN8Xf6Bl/+v9/uDJbwU2/5cBftuX/pbp6aC6b9/Rt+x9+qBwB0YQSZeVTGQBbqVcAkYqi0pAJU4bxgnoxPU+xllEn6RRfRbZG1G8NoLQSGIrSYwmMgFJanuVb3mWUoAWwmUqFVSqloq2VFRC4EGgoeJbqoGg6ktqVUmtoh3A64LJhmG6GTMzOWTDdJctG5Z492cNH7p1I9snFbMNQ7OuaNQU9RrUqgmNasTZJcPhswEV313QkFX6CQahZvcmw6bZAe2BT39gUxaXrHY0jWqFRm2S73/FPEfOnuM9n9qKlhqLITEJsbFEsWYYKvqhK4rqVSS1gaYaeFSDhFbHxRi+l7iEmZegpWuUkDJJ635s2lhCWn8vUpALWiatsjQurkkSiTGS2BTxTpyIUoCfPS895iydgdslmaIU2HF+FwgpefzxJ8XSyuAtcxt3Hv7433yi/51vfctzC/CpCeV3Vud/btCb/7mqH8k4kcTGlbnG0qbFUg7oiUlruRNBksqT2IBOnF+dZMkHY9PXNn+veF5UyjkvV+SBUllzA2kw6wIrLY3z35VbMTwl8LR1vrEWVAJJxZdUA0W1omhUJY2aZaKeMNmImW4OmZ3qsWPjEvcfGPKRr21hqhKwsWFo1oQDd1VSrxjqlZhGbcj9++GxfTUumrOp7i3S5v2h4vpLLRfv6PPAk5P0hpb+IKHb1ynIPWqVKtXKJN/1kmUeOzDPfXs3gVUYk7hy2NgSRzavJ+kPNbWBpVpRVHxD4HsEfkKgDVoneNplh5Uy+XmRwoKwCAo9VwTnroTYZI6UyezXkhWbAduIlI2z1+TAzu6OwMaBTXGuEzg335PD+Mx/jpKKX63VfhUInzOAR2FPhsP+L3311r/8d+3Vs34QeMgYZAKJFA7IIwB3wFZpUiFRFm3S58Y10JqE/HmSZdxslnmzmDQTlyUrrLWUMu8jK27m1mQJHSXTjKWiVLTlsn+Br6gEimogqFUFjaqlWUuYqMdMNobMTPTZMrfCffv7/NKfbuTEqUkumDVM1qBZVdSrinoF6pWEaiXC9wa0Bq5YzFMu/shuicm0qE+zGtGLDb20zro3SOj0JK2qotYJqAQNdm2K+OUfbvFfPii5d+9GLApjDUliiJOYMDaEkWIQKvqBpDpUVHxJ4FsCXxFog+c5v18rm9b5pKtqKlOEsKMNumlq36YkYtNaliQFfGKKRwdQmT6KAuDp8yRl6DgjsXR1duc9yzgb9xhbjh4/5Qtd/Zl/8WM/6HU6vf/UaNT+3un8vzfAV1fbdHvRrz70wN3/9tSpUxWtVcoErrYjSe+xESgpiFUGZIuRDtxJCm6TPTcCY2yeRja5RwvWWNdFnpaAlu+MATwrvRUZuEVWU+4kkU5b0TwtCXw3AKgSuJEM1cBSrxgatYRmLWKiETLd7LNlbpX79vX4Lx+YZf+JaXZOO4elUZXUa9Kxd9VSqyTUKhFREvIXtzWQSuGl3n/O4DZbwj1+4NUrfOmhkE4Y0EsB3u0rOl1FK9BU/IDAa3Lp9phf+ZElfvEDgnue3IixksS4tHoUu0KzYWgYVly5axAIKp4g8F1m09c2z9hqZZxMlEVZcg7wIuUJpCSCyyU4tyUN5DMAp1MHTJ5cI2V38hU3W50LgNvSY4qL9HmcGKRUnDp5onL3PXf9X69+5S2i3+v8fLXW+H8X4OfOHMVa+4ID+x6tRmGEp0XaEJwyuBAkEpQhfRQkUpDk6eEM3Jn8cO+ZvFaiaL9yQBeujiIDdXbgxz5X0buZ1plIimKqtI7cAVzieS5eCHxBJXAzT2pBQr3qwN2sh0w2+8xNtrh/X49fev80Tx2fZduUYKZekiYVTb3i6leqlZhqEOJ5Q04vTeEpgZImteWKIDNJJHGs2DxlieOIdlRJO2UM/UFCZyCp9hQV38P3Knh6gj3bYn7lny/wH98H9z29gcRIB/DEEsVJyuSGYWCohJKBr3IJ5nng6dS5UtLlAiSpTAGRPq6DcSdXSJNCiDw5ZNLkUJYtTpLS+6aQnEkJ2MYU5zvHgSkAnrUNxnHE/fc/VN25c8cL/ld2nPh7AXzh+KeZ3bBa++Tf3un7ahUdpP2ABmQK6ESlXyxxQDcme88B3RhLosm/5CiwMxlic6DbTI5kz5/hs0lRFFFJCVKKHNxKyrRRIpMnUPEg8A3ViqUaOP1cq0Y0ayGT9T6zUy0eOjjgF987xRPH59gyqZirGyaqgkZFUqsoalVBteIuDpfqD7lvr6A78Kko0ossbcOzRaAZxZp6RXHTFR3uf6pJL3IypT9M6PUVnUAR+Arf81P9PMll2w2//mPz/OyfwD17NxAZSWRM2ixd9GAOfUngG8feXlFHr1V2J5UphYzLmk3WA3mWFLIZwFPAJ7nzwrorr0n1tSmRWJLY9OfjQC8IzQLHTy3xZx/6lP+8F7y+9j/f9/neT/3I6//3A/z0mSdIqlsnjx391B9P11dekgyGRLEmNuVSzPRROs1tSsuWY+ziKjdKrM/aJUCbHNhFUzCp9s5PhnAFRUKm4E6LjFQOcFBpxaCnwfdwnUB+WmAVJFRTedGoDplo9JlqtHn00JBffO8Ujx3bwKZJzVzNMFGFekVQrypqVUUtZ++EShDTqA244zGf1VaFqakiTZ4BxqTaNEoUG2YUr3helzseNK6LJjQlkEsqnqTiaTzto3UVKQ2Xbbf82o/N87N/Yrln/wYio4nSCkBX9uqYPIhkXl3oa4nWaRGWFCidHRvyz5ddhJlUEVlVGkVCaPxuSo/GlB7zlXcU3GUgJ+OvE3IDITGWYWjpJb2XbDx78H0/+69e+5Nvet1Tq7u2/d288b8zwI8eX0DI1s8undr/3TV7lkatSX+YEMUy1VsWI8eWKCNSnZ1d5cUVn8mPJJch5Ow9EkiOM3eK9Cwjl2tvmVXQFbo7qxjUClefoS2e5xqLK76h4idUKzG1SkS9MqRRGzA90eLhA0N+7k9mefTIRjZMemyoJUzUbArulL0rkmrg2L8SxNSCkNgM6YQBQkm8jMFzDS5S9kr94sij7g9cuUBYYSoD+SCh5zsGD3zpauJ1tgGt5cpdlnf95Hn+wx8Z7tm3kchohokgTEzK4oJKZAg8i++53lWdxh1auRJhJWV6fNKu/OyxVJiVX5jlWGcM3DkJlYipDO48rrLF8/J7Wa1+zuqpu9IPBWdXFrhkZf93Hz686/BwGP3H/60Mfv78GTZs2Lzzfe//wFXDTsjFW6tIafG0QYg0oEjBrYwtghBj046SrKjHlgAu8gOVmPIBEyWmKLKStrxmZqxdDiqz5TYty1VpMKV12hmUFiFl1YMVL0l1c0S1MmSq2WOi3uG+vTE//+5ZHjmykbkJzVw1YaJiaaTgrlacnZiBuxokVPyYZj1k7zHL1x6u40uJp0waxBUeRbZ8R4kiNpqXPT/iogu6HD5RZa5G0ec4TOgNUhbWCq29tBLTeddX7IRf//FF/uOfGL7+1ByDqOqSYbGlltZwBx4O5DpbvUze2ypVkq9wSooSwEUJ5KzRKwXI7SjA8wrFYuVdb2Uu2L2oZEzGzIU41ev1ikdvaYVHH3rqqje++Ud3njp16vi2bdu+9QAfdE8RVOu7zhy7+3/s2rD8phU1xFpXxO8pgxS2BHBZBB65vWQxSSZHxJolLfOHbe5pj7kka9ySlLnHwS0sUmW2YFrzolLW1hZfGzzPEHiGwI+p+DGVIKRWGTI90WOl0+POJ+HXP7yJxw/NMpuCe7JqaVQF9YrIvXLnvBjH3r4DeDUYEiYJg36FinIXmRSlpZ9Ms4o00NROy+shw9DSj0QJ4AbfT/A9jedJN1VAejnAEXD1bsGv/+QKv/mXMffsm+FMq8mgLplMLI3YUkknDgSeTb3/zEmxOXtnUiUDeP550w9dxnmuENOTkq2qBbhHJaWr5iyBfQTomfVbrOZ5ziP9Q1oKDhwd4lWX31Sdvid5wfXP+78OHj1z7OLdW761AB92DpMMqzeGncff4pvHmZmspuxpsUYgrXBOScrYGbBN2UpSIpckDtQiXdqyhM2oFCkDPDvEZVWYnQQ37oG8HDfrxi+GA7myWE+bdMxEkoM78FNwT3dZWOnza39R41P3zrHYnWJuQjJXScFdcbq7lgaW1UBSC2zK4E57V4IQCLn9UZ+VyGcmYKQeGzG6QiWJa35oBpqXX9vjvv0hnShgIu9YN/hDV6vuawdwrVxDtpAuQYOFPdslv/2v23zuvj6/+v6NnFqcoj+pmfQFjdhQiyGI3OhlX7mBRl4WaEqRB8HZYzlQL1+YQuS9Ivn5gTEJWQZ2KX4yJfCX8xjjIE9KAaq1IIyrR7/16weQ1Y1vkX7jLzrd/rFvKYP3+l2UX7u4v3DrvxHDe5iaiBhGiiQpMlxqLBGQM3j68wzQudbOQZ1JEFvYUOOsXZYl6YEuF3EJYXMXQGUAVxYtHbBdb6fr7/S9BN+LqfgRgR/RqPbRuscdjyW87/NNPnvXBkLTZENTMFtxssRZgJlPrtK7SJm7zN4RWg+5++lJeqFmcy37POMMnq1urpS04ilecFmf2DiA9yPhutazzvWhaxhxFqdKgWjz4XYWweyk4Ltv6dIIzvD+z/e58+kZzkVVehVJM7bUtXUg12kcomwal9gU5NkxFEXtuARJweLjOwrmUiUbUcG4Ni93DxW15xmjJ+sEp0mJALP/X2IEncjjb77yFFdffcm/+YF/+qJHev3ewVr12UfCPSvAlxZO8fnbP4XSM1vmKg+/9ILGKaqVWYSI0rYwV5+QMbWyBXMbU5YkBXuPyJFMa5MmE0aAXbIeyvZVPhyoNK8wTaZImY12M2nNdwpu5WoxAi/C9yMqXkitNsD3e3z4Vs1v/NkGDi9M4wUVNjUE00FCM7DUA6inHfbVwGU7K2lCyNWvJOlK4OTJYjuhG/r4SuFLmweYlL5KdmFntRth7FH1Bmya7LPaa9CPRDpuzcUKnpekNp9K7U7lAD4SuLrKxzfd3OX6yxf49T8f8KEvzrEc1+kFHnVP0tSuBifQ4CvyZgidJX3yOTQizwJnCaAyqYyKlTLQGVmBjR2VmoU2H7uvMRvK2WtBaKBnFGfOLnHy5AMvPbJ/acvZxdWDR46c4IILdvyvAdzahFe96A27uqsPv7tz9nEsAUoZfC9CSpUDPDECnQE9y3bZUYliTVHfkAWP+UFAlCSJGJMmGbhtwSZp9k2WAS4tKi3yKpg7SUEe42snSQJ/SOD1OXY+5j2fq/PJr89w5PwUzZrHdAWmgoRGYNPUewZumYJb5kmhSqq9A99dOM36kE/crTl4vEolncCVt4tRoDwf42CdDo9izZ6d8IbrO7zvCzN0a5pmOnskCNO4QRm0lunYOkog90ony60KO2YlP/99Pa7afYo/+ew0R85NsBxX6XmauhLUUqD70roLJ3WZ8tUvO66ZfYjT50Wm0671yTNiykonct98raVoyyC2oyZD7p+nYI8NhMbVunja58OfPsRVFz//3S+54ebXLSyvPqtU+YYAT5IQKT2Wzt6/bdh+8kIThsSqghQGT5MGljKXKa65V6x9PlK8Qw5+W2ZvK3IWKFgho207ogMzYGej3mRWrShN6ppk7J3g6dh17uiYIBji6yGdJOQPPubz/s9t4vTSJEZVmZ5QTPuWCd9QS5m7lqfvZVqnkkqT1DvPwe277OUwCjl4KqAbBkwFqYuTJZ0yVyLLwtpSTUqkadY1u7eFqGBAJ2zQ9wXVyHnBvs7GZziJojPXIx1vtzZ4VcxN9PiJN/V4y8vO8f7PtXnPx2dY7Nfp6woVrahpQVVZgtg6Nk/7ZLUsyhuyLOcaJmcduTLusMBoLJVJjhKRlVk8j9NSgCdpWUaUVo8mxtLwPc4vhNx+94ELA7+27TUvv+5YGIb4vv/3A3g0OIPUE3O+z8ds906vElikSNKOdIOUElmSKMZKV5RTqkLLGdtkzF0Cdgr4grHFM2QobckOtCMzDAv2TqvkVOIArhO0SvC9iIof4nshrUHI3Y9LPnxrk49/fYZB0sD3fWZ8waRvqPuWWmCp+QW4K4EkCCRBKk1cYih1JlKA+57LfB49a7nzoRph5BHU7ZoAM7sV6WxHBGGk8DzNK67v8JEvd9l/qk6/4kYzDD2LH4MXGbzQoJR0vrUUSCGL4T4UxzMxkthIaoFm42Sf//BdPS7bMeRDtzZ4cO8EC/06A+XjeZqKFlQlBNmApcxeldblEwQlkI/WrIwXZ5UZPSOocUcse11ob1Fi87ROJ32dyZPYQpz5ZsLjI196wnv1K2742PnF1vOWVroLf28GD2qBTAaP3kjnixON6go23ZQtZ2PpZEmStYjlrC1HwT0mS/J7BuxUopQZfKTwJ50YjrBpIsfN38vKPZ3utmiVOICrJJcjWke0uhF3PSn40y80ufXhCZZbDWS1QqOqmPQsTd9Q8yw131L1SVnbMXc1kFR8RcUXVHzSCj2TgtsQeE5/Kz3kwCk43aq4xEqqb0cTJ0X9jOuDdCCPjSQMNRubgou393niREwv8himM779EAc+lU3WzRI1IMfqNLKLJ7Mho8TVh7/jFX1ec8MKX3mkwwe/2OTBvU2WOjVa0qfra3wl8KUgkLgeTul2qVOiuEiVSMt+12HwNfUr40xeIjRDKfC0goSMtR1zxymoIyuIcuC7f7mPZaUf8psf+OrEj77tRTe++PkXfoFvMDzoGwL89Ln5IByKPzq5f2/9ml0dsB6JUaWeRwdkbVMWtwXAy+AeeW4yHVoCeOmAjPDCiDSxIwX6TpaYVHMblEzcQPzMzZARC52YOx7SfP6uBp+6c4L5dh1RqeA1PJoaJjzXyVP1SGUHVH2R3mVacprqbl8QZOydAVzH+H5MxQ+xNuL2hwOOn60yOy3wpEl1rCgafUtsZ0sWapIo+kOPnRsFr7i2xyfvDelGHv1IUPFcv6qfTpYqVimV+9Vujjoj5GNtFhvJNGuqqQZD3nFLn1ddv8Tffr3D5+6qccfjDeZbNfrCp+9rtKfQwo308KTEEzaVWm5gkyxLxPzcjOKmVE2RPxbMLfIANNPgiU1Z2qaNz/nPSqIdF4lam6DtEBs+Wt+18bo/GvTOXAb0/14A/5svHGZpucPHPqH5tX9jed0Lu0R9j9jokYNorCokipUjsiR7nb03chLA9U6uUxM4ElCWgO0GdDpJIlKAa53g64hKJWIwTNh/Go6dUXz0tgm+8GCT+ZU6eBV006OmJA3P0tCGqmepelDxHLgrnptJ6MpMZeku0p/bFOQmB7nvufa0w2cMTxwNwPPSZd6WUvRiBAXlIMzVSwvixI1zvnL3kMu3ddl3uka/IqjFgiCyDBWptWdS9s7clMyCLLRK7rObLOmm0ukDHoPQo1od8kOvHfLGm1b50kNd/urLNY6dqbDvdI1wNSAONAOtkcpN9VWATh8zJs+lC0Xwv+aWuykFqA0FqA0Za2c/c43POahtUjxiXHf/IOHVL17lV36yy1zzSWw8+Y0g/MwAt+aoGA76/+bjf/Xe2dde36UXChKb4AcJgZbYSBGG7uAZqwpGzwFdBrYsdDciBTWlxzF4Z5F6rvlcUsNJEpPu8pAQBG6SapwknFuC276qOXyqytfur3J6pcrhM3UIAlRNU9GKurbUtXEugucG51c8N67NgTi7y/SuUoCTau4U3F5C4Dn2dhdWyNEF2HushidH7cFcolDUg+eOQuakmLSvMfa4fGefizf0ePJITC/2aESCoQY/djMBVQngUro2rzKTw7j9JvJgNuujjBKPoefTrIb8wKuH3HxVm9MrbW5/wOfIyYAvPVzjzFKFpO9hpCbyFUJKt1KkXfmSNOMJuWxZD+QjgSblLHXmtmQa1ZTuKbBJ0gZWdxc6RqmYRhDx5UcrLK0enX3T63/03zzw+Ol33XD11nXDt2cE+P33fxpr4u+uVfbVL9vT5QOfrvGxL1W55cYBl+2K2DptuGhXhLKSJJIjS+Io0DMpkgK7xOIZW49+MluK2AvWzqWISvCChCixHDkpeOKI4rb7azx51Ofpo1Xaw4BhGIDno5oegRLUFNS0oVrygQOd1WlkZbOuLjxIZYnvK3xfpheALbS3l7jMoud0fsWPsCbk/LJkaAO0lvjSoks22xiB5yBP7Gi/Yxh7CDRz0yFSDehGHj0tnNMRFQVjWpmRDKQUpSg2G3ZEERNlrWXZYCQvUfn4id7QZ9NUyI6NEc+/YEg/7PPPjrZ48pjPbfdVeOJohSMnKkSxgkBhpQIhSWQpG5QnKdbRKiPiPPOBs0dTehy7p8DWJFy4O2LrdMye3SEvv2FAo2L5q9sbLHWO1nc8/sXv1lq96+/E4O96/638zT0tdc/DD4nTh5r0hgEnF5zOu+3BOhNezI5tMVfuCXn19UNefk0I1rVFVeukOluCEcQp+LNAcoTBy5e8dYAmnV/iaQvCIKQlCi29gWP0Y6ckf3lrQC9SPPp0hUMnAxa7PsPEB+2D8lBNhS8FVQU1Zako3DgzlRYeKcfavidc0qMMbk/ip7Ik8CHwSV0TlzL3tMH34jQjGlGthMyvJNx2T4NWJ2BqQqBTLz4r+hLPxGymFBAayXComJ1RvOamAV96sM+JVp2+J51M0eDFFi/KPOvUY5eJswspzzqR+d8wVo+UTCSJxE8UiVbEnhv7EEWes1K9iLofcfOVMS+4bMibXzrgwEnJY3s9+qHiQ7fVOHrOAyHp9TVJqLLyTazOAD5mGZXTtyMAB6xBJBZhLDYFdrWe4HkGYQ0vv3bIq68fcMWlETu3xUx4MNu0CCt43kVt+sMhQj0iZjfcpL737Mfjic3f+c0z+HSz+QcHjourTy5MgY0giLE2YaFnWEgSji4b7nnS8LHbYuamY6yxXHtJyDteOUhbkGBuwnDNlSH1SrriWJHnwNaec5EP52n1BI89rllqS6oVyf17PT7z9QqDSDGIFGfP+RihiayHER5ojQg0Wkp8JahISyUFdqAsgbKuBlynnq8umNvP+jJzcKu0R1Pk7O17Bt/PCrSSnL19P0KpkK8+ovjkvQ2Ur53dNqK/n5nBMy88STLHQzEYeLzxhX0+dXebD90+QTeuUE91uJfp8ChLyti8W0gImQPM/SlZ0volgJt0tIN2TO5pRaw1Ok4c0FWCUm6Q/lQl5oWXxtx0aYQVQ952S49B5Ma5ffrrAQ/s9akGgsW24rEnfdo9maokwTOK8nznCdcaeM01EbOTiSuzTgzveOWAay6OsAbmpgzTUxbtijJIEsVw4NTBbEMRVzSRGVztB1N/APzEN8Xg5xdbbJhpNn/1D/72Uk2oVKBJrAYTg40dUj2DMQlDYzjfMpxfdVHugRM1PvNVdyXaxDIxZbjx6pBG1dUBr5ueLF/qqeuw2lU8+IRPu6WQWrqZKFY7ZhIaNxdYg9RIKfGkcGCWlkAafOmA4CvwVTGjz4FcFA0P2jUCZI3HZXA7hk/Lar2MwZPSPSbQEdaGnF70CYcVggmJn6a9VVqVN5LFFBTkVbJO8+50owgjj6mGYvtsiC8G9OOAfiyoald0lNWQZAktJcvlrTL/W+5vpAG/MUX21Ji0+aSQRnGcpHkDlc5lj4niBBW5XIJWCVLGbJs16YphuGzHgND2kdrQagkefEKz2pOoXLGMBtUjZzotxqpXDC+4OmJiymBjt7JXlTt2TuZqTOTOv0klsJPCaSwRK2KDYji8dG7n9zRtstoWajToXAPwhYUlVldb7zpy8MgtSa9LQ2u6BmLhgdWFRpJjmglDbC2tbAlShvaq5exX66WvuB7Ay/otPTlCYLItF0hrToUqghwpUysrA3WadpakG7dmvnHpUaed9Ip06z1ycLu2LoWfgtvX5CWmjsFTFtcGP82Oel5EEEScXDT8+ZfqoH03Y1GWEjwj4BslsoxdsyGhDmxusE4YeXz/a/r87R19nj7foJt41GK3Ka2rArRFJ47KcgLlYC8rXcykkCwVeGV3k9fCaK3wEjcvxUuBrmSRNHN14+lzYdIkX4IWFmETZmuGf/JiAyJJZSYgsv0z1jnneY2RAKNIIk02jyWOJBGFQ5fFbiZ359JYL1HEiabXD+mfP3FLMHHqXdbEa7aLWAPwu++6HaWEf/LsOWLjUrgVKwilILbZWDSbVpCVNVXqtdtsAyQLypJ4JXCvi++M3TKAjwYvQsq8BU0J8IT7TIFw1YKedK+1JK2pSLvHs0IiTWkOCunObEVXfQFwmcuWwLd5S5vvm9LgnBgvZW9fR0gZcvycYKFdQWhNIBmRJ7L8tUqnuywdRoCXOh1h7DHTHLJzU59954b0E80ggSAReInFi1MdHpM7S0UKXY10KmSxnctRZF1VoiSNDDoxJEqidLZ9uUqL1dy2MkoWdyENKgW5yP42bkqWkDZ3vTKgZw7YegAvkntFXJaZEozkT2QaNIu06blIJCplWVg6zf7bv+y7zbeeBeCz9cfxNKz0OywNfWo+zhVAFJ4lrqBqvN7AFU6WgfxssoS0K6dUWC8EkiJFnI9ZFhZPpKBNJUD2PH8vJfuiFJS8wdZXwoF9BNzSPfoZ0LPgMwV31v2jTS5RPO30qe9HxER87u4q5xeqeBMKv1zDUXZQGFOk5dR1qfoyS/oMhm6C7etf1OXuxwe04wo9ranGhjBNpytZFERlBWduI6/sL2WBpmCk7sOkM1UsJEqkRXKCWAl0ItNd7FwtT5wCvUimmTzBJqUpJd7S57IM7tTmzfeKeYbzXyq0IzchGHHfRuuWitcAzVqfhdZJPndnNd3W/BsA/Df/9MsciRovXjr219fPt0IMQQ4wZ8MXHTcmrTMop17zP86zb7ySC5IsWSBAZY/CoiG32pQoZoorWWhclQE7G+iZypMysPM5KArXj7gewLOAM9PdOpMlNtXbo7XkvhfheyHnWoaHD1VB++hUnuhSgVKW7RNjCHfHqVR1l1fPydwTjyKPay8aMjPZp7VSoxcragq82H0XlbgBSioqAxwH8vwPybFKTZH2Taa1Q8qQGIFnBImSJMqQKEGcgrxcvJaVQ8gM5CVQZyUTApOCnLSkOctEF0m7kWKMkfqVMpuXPjOj4M6YvmwjTzQ63HJD//rv/o5/8uL/9tM33dXc/Nb1AR6FIYr2P/nig5PXnFxoMVUVBNnQmoKfR4367CQhSkyeGvrjoE4/WdlMyq7yLCtWgMPmDD5ewqmz2oj0s2Wlnq65OOtUcbJE5d0rBbCz5lvH3qnm1uR6O7MEHWMX4Pby6sQIQcRnvx5w95MNZKDxpXDzt/MKwvJ8lnIddXFS89FopQrMxCgSo+gPPG66os8bbu7wns82CJOAbiKpJJZhTL4VTFH1Z1I5Z8YuqGdicjBapr2QIgd3oiRKGcfoUqajJUypFLlcA2QLkI9kmzMmzxbpkkwVa8m8PHKvqGEZky1j+ZPs7/SHFSYqhlueZ69pd3r/xNrornUZfO/B08xM1l/zxx/+8vctn1tiS13ha7POhykBOP1jppSOLCsSy8j1mn6wEoOn4M4AIEugkBQ1D+XRBhlzuy1IstekDE7ehjXC4mk3jKdGwe3GKYwxd9qz6aftbZ7OGg7i0j0iJOKvbm+S2ACVZy/LAWbR15g5GyManLF2PSPddKgkCzY1Ao93vLzHX3xuyKqJ6CcV+onAi8lZXEqLjEVedObswvH1U1JYk6IEckGi09ENKgW5tijj5Iobs+cqGF32WOalyYVFWa7uLMqY86aUHOiFVHkmTGW/MALy/OfFKpT/poAw0kih8eIWut79vukt3/G1YffEl4L6jlGAR1FIb6gvCgfdC3XUoln3XTdOdmCyP5RdVRQsXl5qnkVxuy+dMXlJnuRAHyvPLO8GUdacGejLsz2UEoUWTyvuRobdpMDWShROSm4Huo5715hsU+YuAkxdYu/AC3n4kOTgmQpWeSgp8aVBj9dplAT4uIuS3fNOJyNKfrUDeRR7XLgl4vILutx7oEqkfPqxoCLBSyw6Fql8S7tw4lSHI51cGPmTosTioiSNis6ZbCakViafIalS6VeAO6sFsmmZQMbk5KuHKIEbkU3MWp+917vZrHmVgsHXA3rxXSQmGaKb4YUTyfCiJIm+tIbBu50VMANqasCmSbDC7ZuY7d1ico++GL4zPmHKfsOPX+Quc11KaSln7bKu8prvwnYrJItw3fOiALcLMkXeLa5zcMsRgJeH/7hue3Jg59nKnLkTfO0SO64rKMIS8de311haqiIC7Xz38kU4XoNSkNOIRZg135bruHNv2iiiSDM7LXn7Kzo8fKjJMKnQUz7VxGnxrJxVSVJwZ2uFST3xcjRUyiZnfzOd9zja0e4+hzLZimTz5zLfVj3V4LLYVMyBWhbNEeMMPta0UqT71hbajauAcs1SdqHmcUsiCWNFt6egJvAnW8RRUVyYA/yrX/kCSkmWz6+wacan3XMfLErckrWGycuPYyB+RvZO/1PIk7HHMqDLLD4yXqxgbFlmcCVKLJ7JFYnSowD3dToAyMu2DkwznNri5al4kz5PRu5auc6dp4/Dx25tMJQ+Sqo0ezl6IY5nMNcsy9ljxuIjvayFzxskmre/esCffqHH40eqRMqjJyV+YlL3SCATWzpO1rWXifJ6atK/JddhvwLcOrcQ3WhrlZYEqMQWwzrzuSwiv6DjMT1eBIDlBoli9iGUdfk3oMQSc5f7BWzpWEWxpDfULLUCTswf45Enl7Eli0MDdFbPUp/YVLvts+/d/RTLLC5LOv0EJR1zCyyy9I9nZ2iUvdcBc/m1GH++Vns/s0QROXDGxyHLEmNnQWY2tUnrbJPXVHurMXBn6Xsva0w2bmZI3iKW9XTG6T1CeSEHT2s6oQ9Kp/LEjpXHjl+4owdkdKDRmBeeduMUiR9N3RNcunXA4wdDEhPQNz6VxNVs61SDK+E2cnWJpYwtDVmQWTB5UemZdbjrfLCpey8bmKoNaQeRRZpiQkA2XSvJuvtzA6AILvPAc+x8Z2hZ0zAx4jKtBdU4wK0tklbWCLp9yaHTQzZuru/+2X//E7U3fMf393bt2pIyeHyMYWv+1VftUT975NgZzq7W6Q1d4KKESyIW//jo+mFLq8wzBZTj7J39TODyOWUgFMAu+hhViRXVyFDNDOQUNdKqBOr8eZrkUaReuAO3A3AxFMgry5Mye6u0r9MPWe4Y/uffNFjqVxCB5+SJtCOrSjE45xtrzpFpAqbMTDJP3cexplnTvPOtHb7ycJOloU8oNX0p8dMeymLkQ8rg5Xp6YfIyWotJwW2wSEadFZEyuM2D9AzsSoqUwR0ektxFIZcphQ4v2gkLmZIFnoVVOHJsxla59QFePmaZV+6Ocb2asHnDgK8/FVPf9Lyf/dq9e+9qd/t/mzP4PY88QuAHHD1xgL+6s8/R03U2NJx1VmwgOgbkZ19h1gQVo4Mdx1ibIq3t5uSNS5TRwTQ5sKVAqmL8mCqBWkuJTiWJzgGeaW6TB5WeNjm4PZ3VX4yyt6cifD/ko7d7PHW4CtJDSkmQlcaWrM18j/j0Sz5jNWGJzfOdKkoyJTYy3eTJ48oLe7zp5jZ/+oUKRgf0pU8gRZ70UVIQlQK6cSYXZSYfs99yqaJAWbcqGCscuLMpYekw1WKsRDGLpphM6/o4hRyVJ7mzMoKB4vU3c3smzAkBvhezZ2eXN9y8zKn2k5w4mRDFA3KAf/nhKeoVn/sem+XRfYtsmx51LcarH58V4NmXKLkl7u2sMN+uGSgz4hnngaUo2DxnyGcDuCwArko11DqtS/HIpYinCrfEKw0HKjS3Y29Pu6lVKy3Dp7/aYLEVQCV1T0QpGHsGiUJWIzJGR+vadnlPq8QkmZuimWoqvuOWHp+6e8BSNyBUmn4iU3tSpO6NKJqx5XhixbF39pbJ2bzojdSZs6LS5+nYa5OOw86OexnkIt05L5eSqTxxq3NZj4sxuZL52RlmXBnsMwI8Bd5I90C6ciRG0B9UuP6iKq+YlVQm3LED0Pv2HWTD3PSu2756/089dO88l2x02yxndpsYPznPchPph8kIzDJ2sktAH72L9SVKljgZAfbo7O9yh4sb7s4ouLOdDTLmViXmXsPg2biJYuSEVi5zefSY4MDxCoYAIXXenFtUD5bjB1FyNYovX06O5SDPnYHMJiwcFVc5p8Fq9uwMuXDzgKV9VWziOxZPnEzRJRenYM9yoVdWLyQLO9embG4Ln9zIYm5kObZRxl00Jt25I09oyYKMcnAbkc5SyTS5GJMqYgwPNn+xRqaM8uvIKyHSYUJpHU+rO8vp5ZDNu+d+asuOGx89ferlx3RiEnr9wSYlzWuS4RKzE34+gHxcNz9rJFl+e0xvjz/ms0IYBfmoPBElZ0KUgs0C0I7BSUcBl33w8j3d0lqVwV0CebpfvZeWhmbsrdLXWkcoFfG5exscXKyCX8gTr2RdjlywrB0XsYaVcvYsB5xZRnNUi4eh5oLZkNff1OOBp2tgPOLEaXEvSbO7yahUKpizbMmlILd2ZFZNMSkhfZ4aDEZm92xrGpuPW06UKyp158XmxFQkfMrPU5YutbflbS9lcD+D6zRy3PKfFxcLgDEerW6PqS28xiSDTSZJjulMrEsBgS+Rym0WlI3Zss/yx9ZHNyPM9Yz2YHYQGNXahUwReRnoOLBzNlei1IRbAnc6n7DYtoO1wNbFgKB8xJs2KchjJ09URLUWcu9+xd9+tU5/4ENNo6XAE6PSZPzzl7/zM52oEf09ZhmWffEo1kw0NG9+2YAv3N3j/v0+tu7RTwJ8QX6hqfzvFzq4tJbmIC/nLFzwmV5gyrF5Ip0eNyXWzoJ6k219YkRJf4tSoDsaQxW6u4gL3HsiB3oZ3N8swPMIwxajuQdDMzJfXkdxTBhFGGsIPInSkii2+X4r46a7eIY/tgbnZbZeA/BxiTI60bQILkUOmnxenirt3qBEWptSgLsAeVY2a9G6GKGs002YtBoFupeztbsr5QJM3w+JwoQv3FPj6RM18DyEVCmo0rkhpeBSyNGTOu4aZQctZ+00cWZLmUxTqns2JbswDDWX7Yh57Yu6PHasyjD2SaRH3yj8hLHPknnhjDG4e1xT8Kmyi81glJsxaS1YKbAKpC30eL6iSpCmNMvQFKuGHAf4eFzCGPD/DpnOUYIQ+Q4iUSIYRpI4NsRxRJzE6Hu//iW01qystpmaCBhGTqFJIdIRtvabc03WcUxAjJzYNZqb9UCdMXY5wCx2ICikSckqzBk7A3gxOTWXKClzO8a2OVPr/LF47qXBpVYRgR/y5HHBl+6u0ev7UPeQIqscpGQPrpPFLH3PMi9ltSiZzzo6SH4s4VMqwAojj0Yj5LUvHPKpOwY8diQA7TMwEj/V4sq4DXbL0kAk5PLADd4WxQlVhZOjFYV0kY7Ns1UlC/KNdWCXpki0CVN2U9JzbgpmH89xrAH4GOjHSXI9ZBcOVDrDMBGEkaA30Nx1zyM89MhBjEnQm6fOOdtMWOYXNHESo6Qo+d3rpE6fhbXzn498GTFyBa/L4rIE9rLmzkHu9HY5m6lUWmGYVhS6dq70uS7PBx8Dd3r3sim0aYG/VrG76wjPi4htwmfvqnLnk1WoaJCuodkrlfCOlMaW7+UX650nW7qTlbOSNyMnNptrUgB9OPB46ZU9Xv/iHk8drxDHHlYo+kLjJeSfSSQFixcfYX0mLw+xVypjbsfm7rVAGpHr8Nzvzxg9W21TBs+Hdo6BeyTgHAF54aqsh6OySrDjxw/ywDxOBL2BYP+pJfrDZZf4e+p4B6ksvZ6k3VMk6Wh9KQRCjSV2vjGB5/8ZZ+ziuUj/7RLAS21d5Z0FRoA9IlXKafrSXY2BW5XuutgENQO0VwJ15pw4x8Q9KhXhexGPHpN87PYG4IP0EELlXUQq3UhVjrFT9n2y0yLyY1I6VRmoKDN3SYNb4XbEUOnoh3yfeI21mne8vM9t9wx48LCbJBAZRS8RacFXCrokA06pDmSEqlIiU4wAPfupSkFvZLqfTxYUZ9pbpmwu3GN+Dk1pYKcsXfwjCbBCkhTH65sPNMsAzyCqlWWiYbm0MXARtxXoT39dk1hBRSVsbEbUK2pNYLAexMWaJ+XAshQZj2jw0pTVMd1dSBWRJgsK6ykDeD4nrwzytDWt2GzK7exQDMAvwD3C2qXHrLE2kypKxXheTJTEfO3+Kk8cqoLngXTBpS9saXJsObASawIrsfaIlWy6DOii5GowqsVTC8yo1FFJNMPQ44oLB7z0Rsfi/cSx+FD4DAzoRBSBX5LZhQ5QhURxH6BcT1S2LpUEq6zbucPisp9WIKzACpBWFFKlFFQW7J2eV1O+8Etz3dfJg7ijtFaLf6MgPXsicFWhkw3DJbsMM5OGKBbo3RsrCCGIoxATJy49WwLe2D81wtQj/12jpzJLSORSpZAm2VI16piM7hEzVn8iyPfeyXcvzppvRxoeiq1LlBoDd2kofu6eqASlSwBPJYqvIw6eFXzwCw2GkQc1L5Un5K1pqrxLcNk5GYmqn4GK7CjQyzKlvDmAsetpcU09kPzga3t89s46+0+7iy8xil6iXJVhkiZ/EE5/J6JwK0aNNspSBRwbZxecTDW6NBYr3Tmy0m1Z41yUdPXNmNyUY6l1VrYSoMsefZkERwD+LIFnBlFZyuKeW5pgue07ifU/f/e/b6wE6v85fvzEHmepiVTXlmRB+S7FOu+Vi6JK98ztkCKtIRm9q2zpkyItwxTpPLySKzJ2z0YmlD3u/FEXuts5KKPgLu/VUxRTpbs/6ChvZvB0SCJD/vQzNf7iS5MQBKAqKKWpKUtV2XQcBXmDs1dqjSsyqeVElKSYDMtIgFrEEoXtmF20QpI2/ha9kEpahDVs3xRyelHy0BM+sXCTB4xQCOFKadeLe0YBI3LuEuXXtiRqbCFTC/lS2nyKUalQ7uxa917+/5TcpHwKMaOPI1ugjJU3jLe8ZcRirWXH7ms3XXDpzV/W8/NnJm3Sf51WMZ7WuTMxsgHRMwQAY2RepOLzAwqM/TtFAqDsnozVoJRZe6QO3I5ob5mDoZAkqqS9Vb7TQ2kjKmXHJElWKZixd4SnIw6ckXzkKzXc/BXH3nnnfvb3BSPjhWXpe5cDTVF+kQNoDBymXBtSzBW06VjqfKOBRJGoVIsnmu96RY9Pfq3G3lMeyBArJIPEQ5PWi2THOtu2LMkSPxlUS9LJutcWNxsr+2wyy5VYkNbJlkx3S+v+hjWpP27SAHVkdR5l83WlSem9Ms7WXpSj7O1wZbFZgsoI+oOIs/O91/XC05O63x8QhqE7eVrk8iCr8htdLkbT9mstnXGAZx+uHE2PyZKyjpWjz8sAd10kmf4uPc+AnFW7ZRq8BG43kdWkj84OVMqgMr9bxSjpBjtqFZOomM/cVWfvwUJ7SyGd95130LDuCRSMvy5LuTLjZM9HG5BHPPHSRCpthKtNkUUKP4w0l1005I0v7nL4IwFhokBoEqHpC4FO0qU7Ix8yR0VQ5uM8BE71krUCZYtSUZu6aqrMusIWKX4BRjrgm0ymlHzwMtjLQF4D9jJZrpG8z4w7gSMFIdLNZGNBEkfE8RDdHxgGoTvAnpZ5m9W6Vo0onaxnudJG7aDxL7g2EbB+c8Moa2evM9bOwJ4xdw50VWbyQnerLIjMtjiRBi2LoflKJXhexJGzij/8RJOB9MgmaBVd8+kKUq6BLuvJETvgmW8jI2VSLzxrYStS9mUNLkbqUxKjiROPIIn5l2/p8jdfq3H4jAYVgdFEwqMvBCopHA1ZDjbHQJ558xbQ5YZyBNK69LxN+wKkzTxxM8LmNv07RgqELVaPtWZCCvwSgZbB/o3KPNY8z56YFOhpfVCtamnWLTrwJVXf7SAW+Cr/suvVnZQ3X32m90ezU+sEF+nKsB4DloEtxlg7S6SMgtsUEkWOMrge8bdTMI/43aW7dCzu6ZB2aHjPp5qcng9A6dQalKk8sSO+d/68/N1HWGo00bUu0CnryqzxoNyjmWlQmd/zZgipSGLN1rkhP/amDr/+QZ9W5AICayVDo5xtmGSfw0IiKBR2AfLiv+4nKr0K0/lNxaMsHB8pbcHgtnTuUsvQ5gz+DAFnCbwmw1UZQ98MsEtfI6sPF0j6Q0llKNHTEx4i8ZiZdAVEceI25rRrUF6SJyPLSakyrKyjSqDOWpXcvoujQBhn7gzYBWsXU1pz9k4L7gtAl5hcm5TRTS5NnBwxJamSMXacP2oVoYOIj3824N1/3WRoPCdPhMrlSd5UPGaJjejuXJKNscAzsHiGq8IqLIM+S9lbjDHF5l558sdtBV7RMT/xti4Hjvu8/zNOi4MiEZKBcQGnTMgZvCjAyk5Wkbov25UO1IVksTZlc1EUijnScaWudiTx42RMXpee4sGUSW4EM2IUP5SAvs6iWD68eRbYQGws4TBhccVglUXv2hwxXY0I2wkLqx7dAZCM1qCsAfgYyPMPWPpQa62gtbUJawtz7JhEsaUgM92iu7xloCq7DqYkVTIwl5hcFtWBue7OH92sweUV+Juv1FgZZuB2APek095ajMqTkVUns8vWOyHlk1E6IfnJSX8wUtU3vvWiGasTlxJlFMZo4kQz4Se85ZU9PnlXjaWOAhmBUUQ4PT5eXSjGzu0zMbnLAxVJoaw+JQs2bcriOaBTn9xYxhjbnU+EcAxPKmWguODWwdKIXBnH3tgxTRJLb5Bw6nxIdTqmm8ToWHRJZBdDj8QE7ioV2bYiYvRklfX22JWWA7gMerkW7GsCsnLbkyh0dgEcO6K9CyttbVCZDacpwJ2MBJhZkJntc6NL7O3VYj771Qr3P1HFlLS3a2rI5MlovUnemlVi77LnX7bC1yfxlD1zC6yQKOPNELYcdFrpNh5IffE48dAm5gVXhrzhhh5//jkfVAhCYoVgaDRKCLcFSRZoigLU43IlswatdY5axuxKFjLKylKhmHQzXkaY27oL3pYwYDISy9jaZj8rLM1nZO5nkshjrK4VoCISFRGrGH37ox4LC5qDT8P22Zgg0MX2GONXyzcQ/+vJlHFg5xeBtIVUGWNsIcbYW4wCu3BR0tfKotMRY1Kmjom0qa4uSZLMMZEliSKdexJ4EYdPSD742QbnOr7b71q6Qe9KUOzYMBYvrNHdZd95HfYev40kekrMvmarxWwLxpGue7d/jnt0259srCf80Bu63PVEwOHzEkQEKAySgZClTaQcqDJQi5GrsJBJ+X/zbGZ6HspsLtzzDMyZbMlWYvezbPa7SPV2+jzrzRTFc56JzYHRNrcxySxcjmFuSnHpbrj08pjmRIRWsYeMPUzskZRkWfkErmHwNVfW2O+OARpBaYkc1d3Z0pX/vby+usTcKgP8GMjzGdnjz5Nce2csrrNxwCpGyQSd2oK+HzFMDH/80SZ3Plx1vW1SO+0tpevaEcX8lfyzZitL+WJeh8nLOB9fVkczmIVrUezxXi6fLZfRunYzkzkqiSGWGhVrXvr8kB9/R5tf+mOfYSxdBspI4tRVkUaUPpsD+cgIB+ta0ih9Pvd6dOCTlCnopU0DTJFfAHnQmV/0dqReRaTsXQ4o13ji65DpugSb/kem2lBKgaKGZ+t4tobesVFTVx79JZ8g0Hkmc9QRWYfFxToAH3t0P7Nrit8LFiwP9lmHvUv7z8v15Im0ebe32zbblCRKaexvprvTGdd5cCljPD/m9gc9PnlnjWHoQVXn2jtn7zywZeS+nrdfXlYFWcC5Pn2XC5uKTvEyuMGqIoFRrhVPjNuEV5WAHseaai3mLS/tc+udfW57UDnbEAlCEglNP1tFyViwKMgCx8J5KW9plXEWYQbq9HNKUOn3y17bVJpkQM/OrxUCk28/mAae5VzLGH4KfNl1kz3jF0NmuXb6gnZXEUxqpvoaPTMhEYlkdkqRTT0aDw5HrqJnYe4c3Nh1AL2WxUVZb5e9ZVlyLDL9m++n7l7n2jufhFoAW6sxoKsC3DoFt+9FrHYtn72rxv6zFSdNhCuJFZn2FpQmSNk14M6/W/79RQno30CfZOC2jjUzS248hZ2De81woKJGRUqFNAnSaKKh5pJNEW+4ucv9e31aYZp+NU6PhyiyfSAkqTc+UkZbnGWLS+7kF6R0kZlKW9oKNs+kSprwEWkNeQ50kZ93Q+n42YLhx4E+KlGeeY5K8buWRMAwEvQHMYsrMVbG6Ho1IRoYGjVDlECSPPPJWKO7xegfeCYHJQsksm2nC4ttNFlSBJgFsAtwZz54EVzKfDC7HWHskYAyS+SUXRTpOuUNCX/2uSrv/kQDK7TzvUfYm0J7y3U+d5kIRo7NqD58JvYeqeRjXH9nTL62lS3fdNcYTCIx0vniShqixEMqw0+8ucehMx7v/qQmiguQGwRDIVEmGySRaYUSyHNQp7oCtwjk8Bc2J8Mc6MIBWWb/N5FJlWLERGYVWlHS3qIIeovYoHQc14x8c0/EOmXcNq167PVjeoOE6sCgB0O3g661rr2riJRLJZ3rAtyuy9yjwB7N8o0weDmoLL2XedwZsxcz8VLve8wxkRm41Zg8GduzXqV7zzgNHuH5EYfOST75tTrdrgdVtZa985rv0uoiigTPiCQbew7PnuQpGLwEeihpcTHinti06SAHuiz2rjHSaXEpNVGU0KjHvPllPb7w9SqHzqZJBTegmkQI+m6tcZ/RpOC2BdhtDurULSFN/uQLTuakZKl7x94qBWshT0aBngFbljA0QoS56zLK3KL0n/Gxb7Yk7TLce9ng1dagQncQkCSCSpAZ+IVVVb7IR5cE1g0SxHofOgNxnhgpM6AdkScin31XuCc5uDPmFuXB7JlzYka225AlWSJl6pikTK51zDAy3Hpfna88Uk0nHHkO4GPsnRV5KSEYCYYpB1FjTD4m757tlrN5nrofTV5YWcgUm25F4nS3KWSKkSRCohKJEYpoqHnlNSGvfEGfk5/3GBqnw9NKKGI0AwHSlLatEiI3sLPUj8rPeuaopLXighz4VoiC7NOaECvSwHME6EVG1eTJnmJWjhC4sl6RfZ5yPCdSE6V4vwD3KMC1ksxMV9i0oY7eunX76pIefGGwqv5pFJt0XIHrUC4voeUlt9DZzwBsCiCvy945mCktXxnoS4ydAzsDelE2OuqcjOpvlaffk9LzGCldp470Y+540Oc3PjDhdpDLnBOpEEK6fYBEkZYfZfCy47M+e38TScziwGYniXGZYkfkiiGbepUWY4nCUck1uXTeuDCaODb4fsLP/XCb/ac0dzwgMb5IIeu+QGQUfcqCypZkyTqaPPfC09U2+7xpQJnpcJFeAIZilIQt4wEKn3xNE0Sp616MjZgoEev4CphY6zKZiUEIhfbqX9i6Zeuq+o5XbOwmw/OHtbY/niRRei0L8iV2PKgqp9TH94kZqxuRam3BVLlIqki9Z3ZgkYpX49WBpYAyL6h6BnCXpYoeSei4XstTy4Lf+OAEdz1Sd5vySD8tifXQUlCVEKRFO560a2u3R+5pA3Q+JGd0GFFW8y7VWMN06bgVr0Xpordrj2tGBqU5gGJc6pV/ZmF2JibQlvsf91ntl2oL0jAzmyJeVBymbDkC/G/mai1dCGPgK9ctjsre9fZ5gmKTqtE4JV021skGZ+C2DEML0ufYyfkfuvv+J/frbAa3lm7LPGvdKKyyuB+xvtbIEzvyXpmpyylap6/sCJuP+Mkj22KMShO5jubOdhhY967KgWVaCps+T/yED35qgr/9ah1bUSCUQ6fQCClH+i2L/sZv0DFfZp9xL2ts1SsTtx17XQaEez7abT/e4WPS+YE2ZW5rTVGjIiTSKBKhkf2Et9zS5+kjHu96ryYM4gLgQmCNx5C0RDrLryfOxLbYApQpg1rS7KaxORbzYDNjZBybO3uwWBCy828pBZgZRpIMPymL23GslZJBa+PLNFUPUWxzbFoLutFcSa/gBE9Jugs1TGmDnexYyPwPrXVMGFt+1oLcjkmUsnNiGR/BOwL2zO8WKcBL2nuEwWVSclLK4E6QpdqT2x4I+MDn6wySdAq+yKzBNGsp7Ij2Xjc1XwY6jFzMI3JlBOzrs1+2m0HmPa/JaGLXlNBaWcpsypKzIpQrzJJpcZY0JEYTeIYffn2Xex7zue0RZxdm3jhSYKxmaFw7Wl5EMm4dpkjNpZQQKDJpUgJ51vRQ0tzZ7+SglSCtHSEJmx4vW5IoZARiR92VUenibplCWO1ZrI6p1tyAf/3nt1nCRLKxabhgFoahyrOF5VpnOQZiSsDNLoDRcbml11lqfj3nJAN42R4sg1sUO3upNTrcjHrg4+wtkyLA1BG9Ifzq+yY4cjrA6mK35BHtnUmkEWCPAZp1wJxDWIzi+RsI8vENBEYzmuXiq7IeX1ubYmRacSjLLK4QiUEIjQwNF2yN+E8/0uKenwnoDNIvY2T+uRI0A5stw5ktUoDcSsCkoLbkDotKA0orSbuSUjCnNSlFkqeUM8h+p0x6WTJnhDizxNBasIvUksxYX0oIPMUuP+GKS3ps2yQZhhZ989VVahXB/iOaOx4yXHaBpeHG7404IHlpaAbkciHVGuekmBk9IlPG2Hxk9O66EsWUfPBSX2LK5jlzj7gmpd15U89b64g4gd//eINH9lWc5y0z5i6cE0+MyhIlRllblME+xtxp5ER56OZ6fL2Gyceck6IBgqKYyYqSs1WqLhSOwfOg00gH8kRiRHpPUqliDNfuiXjnd7b4Hx+dJExSFoc8KkxQDE2mxdNcewnkuUQRpSyncBv02jKbSxCmYG6ZTpm1tpAt48fU5rKkADIlZi8UQVqNmOqe7KLRWlKvaq7faYh1nROLgas7uu76H6LRqCH9pzhy+Ev5spiDuxRIClEw8ciMOeG+brmQZ+2ogHEHZRTQBeDtmEwZ3Z+xYO+k0OXlpM7IPQ0sKwlfvi/g/R9v0Op7zgNMPW/SJl3nnBRZy3Iprxr53Gv1d+4sjYRlIn8txgE9xtpr8D4CdFtyVsqsnU6FzSRJOQkknI2YSIW0xtWrxIpmxfCjb+vx0FMBt96roBanTJ1+QimIjWRAFlMUILe40lhy29J53mms6sp6MwljMrlRyJds9baAtKPWaj6NWIKwZRUgcrW0RkUYkROKLeFwuSV42S23sGP3FQwGXXS9WqVaqTE7VWHbRk01cCWH2Z4seZGRtGOATRVkic2yK3Vcf48mc0p6OxuaXpYlJUlSyJRih10H8GTU75bOCpT5vuousJQyRuqYfcc0f/ixJoeWfPflUr/bPcqCvUsNzyMgX0+ejEiTsWlNzyy5C1k7VotSsHiRWMkbIVgvjT82JCgrxLIm31RWZFJFWITUyMhy4XTMv3x7h2PnNAdPC6wuCywB0iNJQc4YyEltPJVLr9TvhpTFRR5oZtI1Z/Ex6eIWvPKcHBDJaHyDLeHIFp66wOEI6QJjIyCJLYNhwslzhtWuxw4RkJgIXa9ZqhXL9IRl44zB2GxYTjFjZLT3sLzvyiiY5QirjzG3LAPdMup/j25ipFIZUjB5SXcrk74eT+YUQFcqQcoYP4g51xL86nubfPL2GtZTRTo+lSbrsbcqXYBrnZPR6H48qVNm9EKHjwJ+hLXHwJ69t7YmpazDM0CXA9Cs80emRU3Z8zT4TAwxBk86V6U1lPzsbyvOrwoIynQrsOicyQt5kl5o2WPK2kqCNal8yd0UkQaZo0wupHNLbKnBxZZlSSpNykAujucos2cJSZvvoeOw2+qErLRjBkNLb2CRFR/qNX3O13xpcmIKrZJ0z8hslHDanV6e2THSbFC8luvcMw87cz1k+XdFOWFjRx0SVViDed1JVjE45nnLLJhUcfrc1ZqEGD5zd5UvP1BLa00yS1CmDJ6xd7FrcHneYJlN1pTFlrQ4pZ+NM3cO/nWsrbJcWTs7JN2r3ZRBXjB31umT6fHEZImfUmrfSoxV6XvueRxrhJW8+oYBb3xRD1/EEMdgsnsENsZaS2xhYGBoBKGByAhiC3E+pB/iNCkYG+cuFlsRprtVpEFxkmZl80dDPsHYXZg27z9NxrY1XLvNoSU2bgJynLjNt8LYMgwTZqanscgvSe2fM1aifv1dv8frXn3zahTL1TiOv7fXnqcSSAdync0boZgqVWZjaUc1ermfMgN1KUgtD7YZBXHZ67ZjmrsoppJyLXOXO+J1Cm6tYxJp+NSdVf5/fzLB0XNB2sRQJHSQGiEFgYSKdIPsdToGLpstXiRzitFwzj4sBvPnU24FSCnJt1URo0P63aQuOZYQo5gDU76XA9pyGUNppSx3P7kpBTbXseO/OxInCMBYppsJl10Uc3JecfCEdgmf/GosrtbMASnGX4z/zviVPH6Rp//O2kVrxP8feS+VZvlqVv6dzEUqbWKb/TtRHHHxRbuZm5386SOHD933ule/1O3R0+7GaCXoD2OktFR8x975wSl9sPJnz2sIMqlCEYDmAUH6sxGJsl5gKcb2QM9kiipcE1mSIhm4ZSmgzCxBz0s4uih5/yfq7D8cQEPlksQldpz2zqRJ3mfJuEfP+h3zpWAzP+ViNKAU6zJ5cQTXS/Y41jZjCZ/CRZH5SR5N30sBxrhdhzNvXGTMntpdQhg39co6bzwaWvZcGPHDb+nwwBM+xxZKS1UedDoZEiMYCBdcko5ws6Zch1Lo8rxGZVT1uHS9dD8TtrgIR+RI6X1hx2pRnuEmAJkIjM5Kmgt8QLoJ1bYde9BeBaUMdniYejVGK5Nng4o9FUevxMwSXJvBLAFblAFe3nKuCDZFaXvoDNgiDy4zPW4oCqdKsiR/L2VvlbDcEfzuXzT52iOVokowy1im4FaSdIfi8hjkQuepEpjXswXXA/64Bf7N3kaK2sbrUkogdw6FA5RJZwNaUQJ/KdMphcUIizDuOBuh3Guh3GUkDEnPcMs1Q/7197f5lfdNstLPgC1SWStSkGtiKXIHJQM5xgGZDPApWWSfMd/zKitxSS8IkV4EIx0+6TEuN0lk7slIw1GZxdO7EBYVQa2i2LFjB8+/5kq6vX4B8A0bN7Jp46Zbh4tf+I1gc/Kz0EemGbI4lsRJOnBGrJWSox64zUFfAH6MvZ/hde6ciILNc9bOAK6S9GclvztNw2fsPZCWP/5Eg/d+vEEn8dJspRpxTdzsvsI5GSmqojjY49nLEaZeF8wWIWT54HzT4B6ZEV7KaI64LSW7sLxxqyyNfMuY20iBMNIdX+s0bpLGHkIYEqMgtjS8iB9/W4fzS4rf+4sm/Ux6mIzNGQG5TQeYZDkhmwaZOu1RtCYdK5H+bp7sobAPs+RP5qbIlL3LTG7F+uxtKbR8nAiiJNsS3RDZCo/sPf8b3/c9F996/vy5AuCbN23m2CM/3ZtuyKOTlR7ELRKj6Q89+kOfYaixsVuzynXma5yUNcAuPS+/n8mUHNCFTCmYuxg26cpjTQnczvsuM7eUMXiGpw/6/OWtNdqRBl8BGbAz31siSKVJfreFrk3jhnUzlWMHvShTGDsZpf/PN4P0PF2fgTkPNsUIY8l8xFsagKYuQjYoSEjpwJyC3NmXEiOMcyqMSpndWYfSWOLI0KjEfM+ru3zpXp9HDzjNTcrY7lGkLK0ck0P+MzvG5ko4P1zliZ5itITNwV2APE/Pi3WAvs7Ry45FFAsGMXSHgk4kGESwQfo8sH/16Mu++7/17vjoLxQAB/Bn34bv13nqyc9w4vhXuG6PZnqiil2dJIpVESqULqmyFCkneAo5MgrsIkCyuSwp24OFDh8FeMHkpSzlWCpeewmPH/F4569P8cTBAOvJQpbkDC5LtqDNB/mM79SwnjW4nkwZSeyUArHCJ/wm5cr4ElwG+Rq70Nljrt7DSZIM1DLNaErhXBNhnZY1NgO+m5AljAN4gnUxVGi5+qKIP/jZVX78vwmeOJQGJzL7MKJYTjImT5nUL9mHJmtpSyVKtio6f7yoY8n+2Uxzl4GeH+dysVXpGJfLGPqR4FzPMlXrcMXFq7zyxS/llTe/jv6gx8vHAX5ieSuTEzU++pWtfOATW7jlxpgfeGWPPVssUewkShYiFen4dYBNSYenkX2R3LGjz9cBuhyTJVlQKTLvWxXAlmlCR3uGjpX80SfqPLo3IFEl1hZFvQmUbMERUJcrGgtWHp87uGYsxJh+zFj9G5SfjOJ6DNhlhNtyn+bI+yULcbxm3Lq53cakro1wk2lNpsexGCHTcySdHjeWBIMWlmsvG/Iv3tzl5/6HRycW4JGzd87mCDCKRAjCrI3NCJfJSR8trhk5S+jnsiYFccbgIgVspsXLjclrgF6SjUK47jMp4earV/ihV63w4iu6TG+B6twUJslhXQB8qhEw1agcumjH1OGrd2+8cO++Ie/rzfDPXq1o1sSInTcuQUYLqEbZuqzDyzUnoyBPNXYqUYp6k6QE+CStR0kck4sYJRK0l9Az8P5P1vnYl+sMMzCPMTfCWXR5QdUzsHfZ+17D2KIA9mgyR+TgXovsZ5Mn4+xdAgaM6HCTgmGc0cuSxYG7kCrCOi1upEFY6VLh1rrnJg06rSVJLL6wvP2VPfYe17z/Ew26Ee6ApTo8f0whnBhZBJJpqt7VyDggK5HVqtgRWVJOAuWSJTus6QtrC2s0/5korNSKD1tm4fte43PR1jnOLO4mrm4/vH22diiKTX5MszY7fu93fouLr77lcL1W2dBZXXpZjRV2b6rhewF+liPJK+1Gfe2R5E35fTU+tGe83iQtf1XlCsGiDFaWrcESuDPtrXVMN4L3fbrOf3vvBOeX/VJ3TpatzF5LtHCNDP5II0OWoi83X2QNGWNpezm6F+T4FisjmwTIbPeDsY0Dst+Va6VQuQlCFNWs+cCc8fqe8QC4qJUpadqROMGOZKKLDapsWl5lmWwmXHd5SLsneOqwJoxF6R9JwV26yi3C2ZWUJVrpwhbFijP6s/KU8uIiLi76otc/+78I4RJyvhY0qpKN0z5KNukPJFMzm5jduOv3OytH3jO75ca1DO7+EQ+hK5+brKs3BRtr18xMKLTK2teKDyyyrpJ1WHkts9uR5yOVgyXNXWZuKcrgLtmColT+qhJkxfK3n6vxa+9pcm7Zc0HlGvYezVi6zVtHB9iPeN48k/dd+Nwj53vklIlnI+xnZfNyp0pZqsA4c5eGZBqbTpUSbhttUaTzhS08cSEy1iZ9zOSKY3GMJgotm6cSfuFH2yy1JR/6bAMq6dKxhsndzSCJcC6JnwWV2WpkyBmclL2NcMc/3+9HFDUtNtPlMi2hBTdurpQbyM5XkljmVyxK15jtBY9ONPXnBoPRsRCq/OLTH/8gL77hkhMTNW6sBub5jaqhWYNqYPA9t2lTlr7P0uejLF543GVnQgkzxuprPe/MLZG5Q1IOMEfBLWWCrhgOndb8+vsneGRfBSpqlLFFudZb4ElXcpF17GR7u6/Xjjbe6KBSFh1h3pHXBZOLnNmLzQTWY3BRXglKS+8oq4s8oTTSB5oRiCy9RznYLy3p6bmVqaAtmLz0/8l+J2NnY5mYMFQrlnse91hekaNIWVNVJtLr0bE5iHXlWgb68h4TWRBrS78z8qPS/z+XKCJr+8tiD4/usPLZhx87+/uveO2PjAB8lMGBK/bsQAjB6ZOHIGnRqFmqQYLvuT1tyiPS1tPU30iDC1FkRwtwlwJKUdiCIg0uc/1dLoP1DYfPaP7zH0xy+0MVpztGvO6y9+0872wMhB5LhQvxDFKh/Dt5B/ioFs9YW+S0Xn5/rXbPgqpxlyQ7ieW9cNaMdLOixPCFPZi5IyINMNcryhK4uhBhZJokkggDQhjnlaciIhEqHSRvMQPLK64b8MvvbPGLfzDBkbO+WwJh1CPPljzc4KiYzKsu3KrMLpS5Lk/BmQWd6T+TTcVaU6iVZlcFlii7lFzNAbFJ8Ct1dk1swRgzDue1AL/xppehpAofuHuV1tIitarFL+3rXujl9SVIoRGfQb6MVBOaQXkC5wAALrhJREFUtQAfAXdSkiupa+IZjs1r/ssfTfCxW2uEIt2NSpT7KwtwS5xjUtR5r7P99kh575huLYEzB3Dpd8p24DdUJ+UfjmXLMsALiqBy5Pey5E/uqIzWiZOBfiSzWTRCSJNqZVEkf5ytmAG+iGIzyRIbS0XHvONVPRIDv/j7ExyfT50VxsA9IlncxZSl6El7Ow2Fs5J1BWXAz5yTLLljbdYBVMw5zMbCZY0fxljXZBxZLrl4A6951SvDOF47tWoNwCcmpqlUGz9z8UWbL1+o7LslifsIUYzhKrPueqn59QCfaez17cEU1MKmIM7KYZ01OJKG1wnHFzx+7vcm+PhtNUKZbr0m1ruXM5al4fUp+Yx73oXPXWqMLiF33P8eAfU4bf89buO4HslojjN6tqyniZ+MwUcbIyj094gOL4NcpnXe7vyZFNxZQ3Ecg6cTvue1fbSCn/+9SY7P+6RzmEcvQmNxy4LLFhsEIc4r96TAK7lCRqTFaaSDgrJRcNmUWuHswWxvH9fjbImF89ijBIYCjDE0J2ps3LLrqzt2bPuZdrv77ACv1pr05j/c3rqJ/dWk9ZKV1VBFsQeUx92mce7YoxxhcJPLFEQRVI7IFbmWubNspRCFBy5ljFQJZ5YVv/D7E3z81hqhGgP3GlvQXZSeHO3SWY+9MzCXK/lgXIqM+d/rknOmMHkWOl+L7vEAc9wXL94UGMq1J2mGM40BxTjYc1ZPN3E1GZNnHUfOJ8+TQsYiUClBW+LYojG8/VV94kTws783ydnl0vcbCzjdLZtELp1kyZJS6Uqq868jcjvQmDSWScGcr5TZoxndEtFa6EeSVamTntH7f/v9n2n/9I98x7MDPANsFHbemdipG33v7LVKRWRDIsfHZqWLClm1XFmirOekZEAWmVtSei8DtxxjbqUMsSd4z6cafOyLKbhlWXOXH0vgFmszluO6e1RX2xzE642HKPvf6+nr3CYT4u+K79Fs5pqkjh1xT4qfZanrtMGs5KxkBVgjTkrJF3fSxF0QpAVZmU+epP+wcKNtEQloEt7x2h77j2p+4/1N4gzHzwjy7Ls5kBsLiUz30bSpkyIKUMv0O2alueMkMa7wXN24YOtM4/HFle47Z6bq6/79dQFenfs+jj/9vsT6l1sxOEXgxVibJ1jzAz9St/v/b+/Lw+Wo6rTfc05V9Xa7++5L7s2+JywmJAiERVDGT1BGHVDH8XMZl3EdFRVl0IFxHucTHPd9fNBR5hs3UFRwwwUhsosoAULIdrOHJDe5e3dXnXO+P85Sp6q7b25CQpD5zvP009VVp6q7q9761fvbzY8gsTeTaiAnubewbnniKJWxcsnBHKWSMgF4BLfdlcV3b8ujSrVBnrqAdqQ3YmoS99VxAA0X6LG9ONFvh6RA7vw/l2u7gDYT0gzlcECXqYmpwML6RAgnRsVybztPg1soJUwB2oTUEiQz813Qq2wg9TOkptVM3/BMW0YkMkTglRdO4IH1Hn55d15zbOPCl/GyNMsMxjkvQBDq+BRBiHKSaorCNB2hBLachDkJwqgH0lho1KmKBJDPSlywaq4MmOTve2O99G4KcAAozbgEnNfw6K5NGChtRjYTglIBzkmcISKoPWnqOssEbTFcWz3+hWNFSVtNYo8lITw2C3oCxANuWZvFFZ8v47EtGZ0w3ADYrmJJjLcyrVi6EjyVjmYDxdJKZdLJkuYt6cAgF9SHBXfKJlZPT0hsA4erWKZs4iawSSYlvfueBDQAaz1RXYUJYgsLhLp+QqgYJMWJJSQHTpoX4lPvGcEHGPDTtXmFYSvJpeFIzjLTJ0g1TwkB6xjyQOBpBZTCuOxJTO+ljhqUQE1nE0mhTLlZJnH2itL4ZS9e9d18LocPv6fxOW7yYAE4OiSXbV8ota4cVhaUcQBjKOYn4PtholxDDE4RgzcRU+JaQ0RDcBPCLbgZUUV8iAf8+M4cPvSFEh7bqsFd58RJUhNCtVIJpzOD4d9Ig3oKutHIqoL6lztIakFiiiGnWJ8OvtKWEvdzmq8nXPZA3LzKLTMhk+ukbkuo3nXciqBx9SyzXXd0E4JB1CiWzg5x7TtH8OJzJpQoFQKQfBovlX/HBRBKoCZNGhxBpAHMpTqkedUkwYQgmOAS1UoNGTaGSFYQ1TjOPmX5gfWPPva5+bNnNT3VTSV4R5kgHHv829nZs6/+ze358m8frELUGN736jF0lCRGx9WJSUgrh55YsBsp7nooibGJu1JbWHArWgL8eG0O//TFEh7Z3AzcxuuhCkoSzbsDUl/+wS35kE4BmxLsif+XNCE2CB500D59Hp4udW2ltbM9jktRUt16ChPSPLaJq07EaWluogxFHTeHjj6EjlMRDjdX3CCOkkENOGluiH97xwikBG5NS/Ip71wl0VWFrjjGxiO6sL6jBwnEElxWQ/S3DuH9f3cQExWGP2+aiTlzF6Ot3DrlufWm3Fjoq24bHH3rrfef8v2f3bmxMD7JwckefPBvq8gFyoykImhjWkLgBGRBxNGDlqIIy80VD4/BTQkHoYpz//SuLK78fAmPbg0agxsp6a3zIpPZ8VqXN6BGUnrXUZKEwpgCcxrsSCY+mDsg+fHwEDcluevoCWLgaj0+tofDpR8uRyeOA4k4oI+5uMpkj6W6KqSjrSvasG3/A1VWFVCASAYuHJ2rJnHy3BDXvmsEQgI/uyuH2OnTCNzUuQO0WikIOHH0DQ1yU53BnEcZEXSWa7ji1YfwyvMYDg3n8LLz+sZli3irDPqrRw3wJzaPifbOhfe/7uXByKHdewqb91TAoxZUqhSMqPoZ9qFoeCxNWVBMlKCR2glToEwoloQJSEbw83uy+MBnS3hsSxDHl6S5Nk2Cm5LYoeOaA+vjvNMJvLGymY4YtPVOLNhJQsqbS2AB34y3pNalWIizgVhxnQ6lTSqdDrjdm0E4h9BOEYIY6AkbualxqK+hCQAh2gIDrXxaB5AWEEKYX8RAahGWzwnxiX8cgZQEt92dBTf4de9S6oJbryPG5UPA3fPhPDlNxCc8wPd9CLRi8/YCdjzZinNf8LKR7p6Z91cq++rdl86gU21cOK8Lfd2l/cWcuPSvzjs1XDmf4ryT2xCGrRibyCDiSjuWVprVmwOZMQGm3O7U8VYyLbklI/jNAxlc/qkSHhs04NYnJ0FLTJcsRVEI4NQ2cbN0GqSdudIbjSV5EuT16+y1SM1z1x/pkKmXiwUbC+7MtfsYPm1ETap+Yezid4p3CpeHJ1+mgJDh53G7FMPXGaRgeh2DqBEsmx3i0+8dxvNWV8CEySGbLi+X1loSag5ugMkAZCnQmRNoAcPa+7tx15+LaGlfEe4bwqXEa9svWN+U53VKgBPiY936QZTaB3bOmb9w89yBVjCSwfB4DrXIB+cM0hRwtPbupPmPNLKWEKHpiEo1I0xAegS33ZfBuz5RxobBALbMVJprG1oCsx5JaoJ0do7rvWwkvZtRlvqyaw0B7QI/fQfEUw4L7kbue+uxRJpvE8vH06ZEYcyIFtCx8mlBDyBWNmGVSQt6bR2LFVNTXyVWPE1nN8EpZI1g0awQX3j/MJ5/egWM62ZPggMy0u/6JaKmIJcAOLQJkyhric8ksp5ERx7gVYFqWMCiRfM2n7Rsxs7x4a1oyU9J/KcGOABQSjG06/7B7lbx5uetmY+O8jg8HdjuqB0wscaxUllvLVFlHhQlUbREgAUS0iP49f0ZvOeTZWzYHkA25NwuyA34Y3Az0rieN0kDGsl1ifjoFEYbKpspSZ4Er0zMU9ubw1vWLeiPjhh3KUj8DTIGvkjOseA2NwnqJboQLsgpkuWZYyuKNJLctjBkznoDeCXNZZVg0cwQn7l8GOefXgHlHAh5LMmFsywjvSwSIDe1Tri00QKWqoQc2D0UIigtwLY9/M3f+9F9g4wdFr5Tc3AAWL54FqJoHIzld+/bWb1z8yP3nhNFFWRhLrwbLaherE5yxyAn7raMxLYDHu5+KMA1Xy1iw2AAGUxh4zZSm8aBVJaaAHXZOU1pCkzMt2wA+ORNYM+y4820RTVduuLcHMS5OO72qYbFtIwPlPBakhj4LgdXCipx5sgUF4dVMhWoZezCp4a7GwVTmVmltawQzdWp5t4ChMVWF6hVALTwCAWWzA7xucuHcfV/CNz7xwy2HfCAAPFcYhM9Ya0qdjBVV1FPTVYcEMi1ljFn4aI7zz/vrN0jY5PIFfOHBfjhbwEAnlfAn/9898b9I22fG+arMTRM4xhuJ1qQ0TjENS7GY8qpOS8iwDISG3b5+OiXivjHT5Tx+LbDgNulKlqhYxbY0in5kCx77AZXGVBOx3pSJ+0d81Wan7gKZwLN6fWNgJ129jiX3n1Her3LsV0vpzmGy61Nbx843k6Z5uFGMsdVaqXDv2NprqmJ4eENJPniWSE+/4FhfOQdI1jYHwJVjqac3JSM03ZyUzIulAShtokLKVHMRHjNxcuwbH7pcw88dP/G8jTADUxDgptRal0EFpTvH+DRzby886V5+jA8TyZMfG5oqxsNGLvlubK0ZIGNuzx89MtF3HRbDhVOgczhwO3WFVT3faLNdh3fdoDtSO9m65LhrzFQ7eoGPviYuhAcVkQfwagDdZ1nEqaNTTJIixhg68jAhPQ36+EEY8GxtMQeT2riRWzMqzYlaupi0+LdGBTHj04jgZ52jtdcPIFMIPEvXyxh0y4AGUdbNsmlRqKbY0kvUaecS4LxmsCqUxZi+aIlNy9btPD+iZHhaZ/LaUlwAJg7uxNdxd2Di5euendPD/8JC6rwvQo8N2fS9IK3Hc1i6U2MWTAANu30cc2XS7jpV3lUcOTgNiZBpVDK+mataV7tvlMkeHWaf5vQ4ATXbmBNqbOoOMeZNtob2gqJBrUD3tT0pBUlqVTadaKBlUTE0ttNWBZISXSYarWOwulIctNFwkrztCQXFLxCkBESlz5/Ele/fQTz+kMgFLHCaRRQGQEyVC8RamkuwKUq/DkWRSiUOFg++MkZZz733Y9v3D9YKPdMG+DTluAAkGuZhdvuvH0bpS9ct3fbxEtWDDyC1qLho0IXnA8VLdFSW9lYNV3IEGzd4+HqLxdx46/yqIIqa8nhaInTXoISJFtsI8m33RxLo0SmK8OqGIl4Huq214O7jpa4kEyT7SOU5jZwyll2dMmEXdxaT7Rt290uXYntekP1cVSV46QDCNYmriW6qvqjHG46eYLodoWgKk6F0uQNKBpIckoBEXHkPIFXvGASIMBHPl/C4B7DybWSQIS+/noZ0FKdgkogH9Tw95f04LWXrli3ftNvti1d+PwjOrdHBHAAODCxGMNh77WnzNwyLxSVV05U9iCfU02efL8G6tfAqYCEhG/+NyGoCoIH/xTgyzfm8f1f5VGzwKVoyrVNEp6DGgYTZ1JfUzBd07suFQ0xiOvivt1lB+QJiZyS3mlF08X4kQ4LxAT9MCh3wE0cE6Lh4UQm+LXUE2z/eMDWF7HJO5KAWWeRSV6GKrnm1FiRUI1nVTirOaYr6bWpQdC45Y8Dch5xZJjEK18wCQjgSzcW8Mf1ujEtBCgIfElASISIUESeBAgDZR7KvsCymZ0Y6Fr23bkDz7kW2H3E5/WomOOWx34KP9uVP7jz5l8EZPDs1tIhtBRGsHckxG/uD/DIFh8ZX+LiNRU8Z0kEQYD/vjWHf/5KCw6NeQjldMCtaYk1DyLOrSRxdrxH3PqCWsF06p64ybyJUs7EKQdt6I0tgwxrh60rF0FVwisx6wl0eWQzz5RNRpx0rPeJy0m4x9bvDPa7TdIzY+7vlfozmiR6w5bjYInSHHGXukbtYZLb3cYDyeJLNsUwUX3MDb1w3okbIcrtPiEhGB5j+PBXivjOrVkICjxnSYQXnVVBxpd4ZHOA39xXwI7hMpApYlaR4tT5HWvf+YaLXrh91/6JN7z6fx0xVo9YggPA3KUX4eDeByYKC19aG97xDWT83bhrHcWHv96LdZtyqIxJQNZw/c01vPbFE5jRLfCxrxcwNGKKjD81cCeld711JBFzkjALpqwjcOakqIhrIoylthtrkmTbpvnUdEVITCXMivq5MrGONKAkSZd9TFEaxKkQk8bm0gtiKQah0vJxExhC4Cqaah1Fkq6YnExKdVYOjfXNBF0RHB6V6CpzfOxto8hlBfq7BF734gm0FwWEZBgfjfDo5gqu+jrH2oc9tM2agbe/4SU1QslRgfuoAQ4AhfIiAOI+hKvPvOOebbkrv1bCE9tagYBCFmoQ1TGUMzVENYLB3QyVcZdLHwbcJAluq1SSZGZOgo5AJrm3iWp0QWxiZlJ05XDvDbk4iUE/FZ5J0y0pMCMNUme9+ZzaZm8CJ3rQ3Aiq1Ujs3SQ6DSzB06393MnSh7Glq/aEVAhIUEgqrBILQ2mglE8DZgtygoZ0BUJAcCBfkJjTqyJGRyoE7RkPlckW8DCDU+Zx/Ptbx3H1DeN4zqkrJleeMu8+RqdtCzl2AA+yJUg5chUpvUje8Lvd792xZ0d2VqcHEODJsQDLFoa4+vUHccHpVdzxQAbf+mEeE7wZuNMAd8ANJ7YbDVzw7jIcfk2RsIbUW0uSuLOu+bRlBA1c9umT0VDJnD77k0Bc2IY02ogENwcc6U3c3WLFUsrUvmlQC8RVXwWBoEhWryVwOHesfIIKUKjOyiZ60UQhwpHgxJSWAByQSxApUOMSP16bwe//kMXP78jiytdVsbCvBUPDJYBIdBVH8YX3zqzk+8/+DCf+hztbp2fzbjSOGuAKFCVx5Sdvuaa/a1544croQ4cO7AlyGQ+nzAde+6IIF6wg8AhBpepE+U6RiZN05sCWfDC0pD79rEFepWs5SWx37N4pWlIH9vS6ZgooqZuiPjcC6mFPZj2wDbVIKJoWgNKRpimaQtz1xOYwEiut0xLcSHYKSYSV+lajBXTKW2xWVHUdKIgQoJRCGL6iQQ7IpHVFQkcnKiTkMgQhz+AXfyiBU4HXPz+LQqYF2UyI3p7ZtVlds64r8F9+LNv5d1NGCx5XgANAf8tEraWv9eOd2Z7azu3jH23JRnTZPIEFPUWMjtZQKg5bS0oyA6eRKVCZhwyAjGJovJSNqEmcYBErYE0zdAwoU0BuysmbSvwGxIPUA31aIHduhnQkoZ3iSu8GFMWC1cQISAIhVU1wU3rCcm/XVk4cng7NxTW1sf0wXb4O3SqFCivZAaK5t2phaES4ESgALE9X51FC6oQL+AG8fBFbdlD8/C6KBQMMM/sKorVr9kdDDHxqcM9o7ani8+jJjR7v/IdXoL+LTZ59+tKbX3j+Cjm/X6CnPYIQFFFEASYRgUDaGG63nYhbSzAJbkZMfLeTnQOddoZUjDdiN71ddsEKWQ9c0hjUQLw+JtpqmaRujDoQk4aLRzxc504ifc1y4BisifnpSMMEqF3nTtrV75j9RArUztx0iK2JNLQBXKnwWikdt75gKu1NMhBJ4BEBcIAxCkYJ9g5xbNpeRbHjZOkXlty8YZs3ufjUy54qPJ+6BAeAuXNmwst0P1Hryb99dm/1y5XhtbSQm0C+pYInthN87sYyxoXpcFZfWs0NCHHBbahJw9JqUMB1nThHkoYWWz9inm0+I7GtnpenP9UZT+yN4GxPK4aO1E6iu35bkno4c4y3Wxu4rfWEuAprsiqW5dfQzh4CWwTTeMwhiSqwT2VC4gPSPi2sJAdgRLQpdiUFAyVCtyzR3011NE8EZD2Jd106ho07cti4J4chP4tSQPCC804TM/rnvX358oVPbNm251hA86lLcABYsHAJytn9tYVLTru+tSTf19eTQyY4gP/6ucQbP96BO/5UBqdZgGUQt/LzHHMhSVhL3OjApKR2HTqOWZA47nngsFQjLbHTHDvBQuqkelLSJyY1dL1Pb8gm+1oHkDOvzoXvrFOfY4nsekjdlij2CVAn1dMSP44bB5Kf43AA8506KEuoTstceNqVz8C5B849RNxHFGVxzsnA1z64H6+/aBfGKyPIFDtQ4cH71py1+vr1m56sLVu69FhA89hIcABo616EqLKdz1n815vGDxVHP/dfB4uf+pbEgckC4GtJjWTxEQM4BkchRMy5KWLKYTLizVySkOwNFEjECmeah5vRSNGsC4l1Xmp7UmrXU/OjICfNJLr1XMahs3CkdCzBYbm5PZRGtSCq7kiyvqFLQ6RNhqBAIszWzAOM1DYKJKwZUkilgJofpApoqgMQ/duF0NGnUoAIhohLEARYsVBgVu8oZvWU0N5/xujLL1yz6fHNe/mKUxYfK1geO4ADAPPyuO3B6k+Wzn7BO/xy+TNtnb9prx4YgSAMVam64xo7tI0hQVIyGkA3zHyfgooYsKPJPk3pCiF1EjktmBs5f+xbmr404uaHGZZxGHc6HKoh4++VcD8bBTK2exPXmmLA7jh+4CijScoinXjx2LVvgU+0a5+oG0LdUMSmXUhVjipl5SSW1hACVRZORw5KScA5w/AYwPxWvOf1Fw9l2le/J/D2/ESi+1hC8tgCnHgdAID9B4ZveNsrzvJaA3HtDTfd3rV51ygORgxVGgdLGSltL7IjuohDN1ylMVYeXe4d1xYE3BtEK5eIAV1nBmzEt/WEOmePM8+5hvFb+uZIzWk0XPAmN6T2SwdfIen8ce3kJn6lLglCc20QR4obB48251FzQ8EEZunjyvhGgjEXaqdZnMMkVQkKAHFpWb3eXicB6IJCk9UANdGNru4L9+XbLvig4OENxF94LOFo8XDMR2dHGdUw/MZlLznzyovPW7qvVJCoRhxSqCL0OSqRoxJZKpGhUverVDEUidqHFmgpU2AdDWkk2ZMZPAZrCWsJSALELj2xO0BtaOQAcqe4H8gUoG46ZOrdWU6bD6UzV7rbHR7t7pwsIwErfROpbY2sJXD5dZzlE5eoIAnBZI4pBFW96gVFJBhCzhBxBi4pGJUI/BpGJzwgs2pfW9/zruQi+kaQLR8PKB4fgANAR1sZP/3Zb68f6Cle8ca/7hp66Zl7EbAIWQrkPYmcJ5BhGuA0DnN1T5ZLFWKsxVKZphw6FtBUNqUlziEbK5r2e+rB2yDnoeGybfcC52Y53HBpiHMO6sCcVkZdc6FVKh1w6oOn7dlNTYUuVRFIrneUzUb/2/J+DfKIM0SRhzD0UAs9cM7ARYQf3SXwwOb5Q5Wo9YpH/vS76zPZ0rGAXMNxTClKerz6VZdgaMs3vzU22VNjmYNf+e2DE8XWgCJgps+6tGWlBVelu4S+AMzGVrg8u16ZdGt7J+p8Iy2t02B3LlITeuJuM0ep4+eId3T3mfYwimSKliToSwMaEsebxJk7LlVKOIDg8GZ9Xglid7z6Ck1VNHV0iiU4AVwmv1N7UU1cvbHPGMoiCLhgqqyIztIXEoi4hzCahPDmjm56ct671v+q+p1Pf+TS4wnB4wtwAPi/v5sQbWX63dHqoujClSPf3LF1azaUHiohAFNrPQRqnCCUBDVpfpiKZmOOhHUjBU3Fqlhqpzh5AxqT9jZaWmI/qAU7twlQk+ubo3k6QE8zkmaU3JRRrpOYJGknN5LZeviJI7mtMqm9nq6E10sm6pDq45nuD6YcXPp/uwnnAAAhEQGIOEUt9CytqYYexieAvhlzK+esKL5ptTh4k4f94tMfOaZwqxvsqR9i6vGzm2/FGWe9RlbDrvVLBvxHT5rvXTJe2e/t2OehlJXwGRAJgpGQYDRSWU0cRooT3SzKcdvr+GcbO+28m4TjNLAb9dwxjaPq7eok9YQgzhzilFkm9jjE3c+2DjTrktvTx29s2nSeHA0UXvcGdJ9MMMeH8xvhHAf6OZN4Yhn9wgBWLRvdx851BIeKWTedOCQY4/AYB/NUQVYuGCYqGYxXMogiD/lshD88LnCwuqRSLs96zcoVfT+cGAn4spVvOd7wO34c3B1XvPtVOGNJlZPKa35w5uqW1y5a1DfBiEB7AehtpchnAcknkecjoNEEJI/ApaqPYWRGHWDTCQOkSY95R3qbVwN2YT80s5XDnWcBkDrGUWmXDr2AUQLdjYm3OoUyXkfq9nXt2eljuvsYWmh63KseOCaznjjVZlN6gBEqVMD3Q2SDCfjBKIJgDOOTHvbuz+PAoQDVGlDsmDExFLW99qzzX/ODm37K+YJTXn18QZe+ZE/HeOC+L2LV6TPxr5888Le7d+35sqzsLRfzDOVyiIG+PcgEQ7juOyU8uLEDyOaQ9SiKTCLLJDJMSXufAp5u0spoKvCKJHGW5urxO0lUnI1vFBJLqLQEp44kpyR5LLMvJfXrnP3dfRlN3rCJz+Z/0dRvdNaZoLLEsm1/GDfkNcuJdutWGmt64YDVldZx5o7U3fU4PKaakXleBN/j8L0QgR+iJT+JdVtCXPudNhBSxpy2MorZDFqLBKcs6xju6et829IVI9/+9PVlXP6mNz5tmDvuHNwdq05/B6657j/x/NX9395zoNNvyc751J6dj3cgOoRT5rRgoHcUG3eO4qHNRQhk7X42GwfxxWPUSUkj9QK0zgqCBndzk/3izcTh4jLhFErPb8afm41mpu7kr02bTFwHkO5NTFxHEYGJ1bVeS5I8to1dMZxb70OMNYYgsZ+kVJdR1tGJTh1E8zMpFZAyxE135vGr+3rR35YBGeDo78tizsLlB5AtXv7YYPbbjGzH5W96w7EH1hTjaQU4AFxzxetxDQAZ7f8WmOfd8buOj69/+PddB4Yn0dvpY0ZnDYypE5jIkocj7YjO7HHyLQ0kAOeCptabUadcot7iYhbi5QbwbUJJjuaxKJvcIQlwosFNoWmJ9uJbcBL3JLgcKH0sQ2GMmmmDt5x4FZ1hTwiF0EkStrCQjkfhgmDnfh+SMbTmIsyd2YaXXHTevvmLn/shIaJvDfS1Hz1onsJ42gFuBvE6cfDQxNdPXXEOKRa8/4PRH3Vtf7KCL9zcjkjk4QcUAUlSEANqRiU8FiufrjnNdfqlL2Yd8BMS3FGyUlycAIkkBpfjN/5zT+XE1K9ywlASn10LCSH1SQ+x9xEO6ht/jbA2dNgMHEGI7uAWpw4KIRKdIoSkCCMP2SCLt14ygXseGYafn4nnPe/8fWvWnH0lIL9O2fGzcx9unDCAA0Bbax5hdeL6k05eFT25a/LTn/9v3rZjP0c578VSG+qBa3gyoyrb3GOwXYuN6BJa6ghX2WrCU5opo7Eu2gTwDrJdiZqwZqS/shHgU+LY3oBTcR33BnaktBujYsyJVhtNUQ5ivzx1foyyaVz3elAKSGYaFhAwSSGFSEQXhmGAoWEffa0Rrnp9C/zS8w8+9/TVHxifiL5ZLLY8zahKjhMKcADwM3lUapUbaPHMoUPhgfl//xJ53a233eNvH6UIiYeMM1eBWymbAQMYi019QqhgLi5i+64RXqbSWFMjRwLYrknPbI53PKp0tOmOwxw7AW44EtpZNrTDBkzZP24s3uZmjhVNayeXAOeKbhiQMwq7TAkgmHC8rcpEyCOJ3ftL6BlYE1524eQV+e4Vm0Azt1KWxYkeJxzgAJANsuJPD6//yYffclGwdcvmiVWL5Zd+cPu95Ed3hZTCtyfTdE8LGOB7BL6napIACthhBHBTgtcUSdLfQUgDoe6YDS2gaUpqpzl6IwkNHBXoGwVbuRSj4T5QnkTr2XT+mxspaNLVzDHdH0uAhEXFDC4IIk5QC1UsCaDooK9RQomE7xH7n1WPpghrHyuLfOkC2R0se2ehZ8F/7t+/r9bV23nc8HIk42mxg09nnHryEnhiqLZofv8NF503a9nsWcv/+aylvQhYiHEuEQpdC5wBgU+QzajE1VyWIJ8lyAaquI6QqpZ0yNXFMoCXKdpiTXJIOUdQn0WfBq8r7dWKJtospnhqTDUcrm3EZUMbt57cMGHBVRKdfa301gV/PCbgewI+E6AEiDjBZJVifJJhokIxWaWoVBmqNYqQUxUwxQR8v4qxCYmJaBGWLFj+z0OVBcuo33PDw4/urXX1LjrBaIrHM0KCm9E3cxEATF71qZs2/H7P4o9fds5Q0P6izFV/3PQou+X2HChhyAQKzNkMQcan8D1VLYpziZBzjA8LFQYAxdG9lALmjnoOThIeRhfwzcaU+J0GuOusJy53dlzoxNluKIrragekk+0em/1sGQn7k+KmYIwJeEyCMfW4o1TiwLCPg6MMnBMlvX2JbKCOwahELkNQqUW45R4PucJKvuY5Mz+2as3uj8+buYG3z1pzAlAz9XhGAdyMj13+N/j+jT/ml136yqujcIeX+cXt71u/8bGMmBxB1hfIZihyGYpc1kM2oMgGBL4PLJpzCN/7vcCuoRyKgUTOBzKeVPmF+pFuAJtwzScTjRxOHiuU9ZI4Vtca4fhImnmnKUS8KJvukAjqc6aZ8sim2I+NK0lJcUoAnwkEAUfGD5HL1rBpN3DHugAFRuH7FFmfIJul4Dwu3ex5GeQKfVi1+tRqd/+LPnnq4q6r7/jtLTj3/Madhk/0eEYCHAAuu/QSSPkk/vBI61Vnrr6EdrYuO/PmH91CRVQ9c3Rk2MsFPop5hpY8QUtOoq0YYdm8KlpKB/CBr/aiJvPo1HHmwgFEQjonahOmpLcbs9EQqyr06Zjom65UdkfKXBlPJ7FsdzVPvdXUQBFC/T5dwkTvYTyryjsZeCEKuQoymWF8/Zcl/PERgZMHqigXGPI5hhbOtK2bI5dviyIa3D1z8YXitN65d1Mmr1q/dRhL5hyfWO5jMZ6xAAcAQmz60pU3/fAnuOC81cXR0bH/2LZt+yuqk0M071fQUSZobeEoFmpgFFizPMSKRUP4/SNZFH2KnIgtDYmwWuteTwZeWQuK/Q31v8sITKvApLTF+l1Iw2OQRitS9na7kFIMHD3Tfj2RAFH5ZWoylbrZqyrCIymx0YHQNMXzOFryFdz3OMfdj5QQCIqhUY5aCBRrArUwQiZTRE/fgJjRP+vGbK7wlq1b9472Daw80fCY1nhGA9wdf/Oyl+CJjVtGM5nMu558cu/GTU88fFLBH3qpqKyDJAyEeJAAutsIFvdXsfZPXFWx1X66ZBXZGNTMxojoOJEm32/tzDIFPCS9giCkDrxppdUFp3XekOQx0WB/Y60x1CWRTaO/lHAFZCPnCZEggkAQHX8vjOKpvohSicAP8cROiqGhAH1t6v6YDKs4uE/i7FWLMWt2x83POW3Fuhl9vZ+drFRHe3pnn2g4THv8xQAcABYumAsA+w/s2/mReXNfOptPrMO2bcFLf7X2CfS3VtHVpoimdLi2CnySFsDKExoHPhmwm/LG7jDxHDaiTxq7sebfUsaJE2kvjVFQG5gBD6e0Ns0mMuCOzdpOWpmeSmIqIp1vIwSgnIBSCm6B7nyFPr7kAsVsiBUn5ZBtOxlLFpx08wVnLX7PgYNjg6XW3hMNgSMef1EAN6Ojqx9S7hlE2+IP7B/HDaefceq7/fCJc3O5uzFRncT+sQ4Qj9n2gj4DfE+ZGBnTINfvlBDlEWXESnCTVKsKTsq4pLAdBkCNbdnJQp6pDsiO9xHmu0hz0CetPDLx9LB9Lh1TqMmANyKd6yAxTgBl5BeghMLzqK5dQhFGPtoKHBSjyLYM4LxzVuJFFyy6Y4JnPlssL/7z7qFwcPHcmSf6sh/V+IsEOAAQ0gsAG6WUG5cswrqtG8K+rq4ZX73nwQcX3PPoIGMMIBDwGBB4QNYn8L1YUtt3piS6ArxCkxTQfdlj979LK0zgl8V8A7d7OrHBSHQgRS3M5zpek25x6FQPsFRJxh5cHttcGJXKaeAQeylVBVmhS615TCDKqPaA45Me1pycxTXvOo0XWs/Y2Jmr/cOSZWt2A9hAjsqQ/8wZf9m/3hlS7gLnfPb9D23r3zvccuNXvndnaefWHYW8HMGMdopinmqXfsy3VRcFAo8R+J6SakRz1VooUKsJhJGEkDJW5Eic2WPfbdcGajs8MP1EcLOE4iI62npNSCK+htH4FXdvMDE4biqeri0igDAiqNYIqqEpngl4HhB4ygPJmIy7WVBp3e6lQoTejnH0dUuU2/vGyz0XjQw+Wbu0SpfuJNQbPGlu24m+pMdk/MVK8PQgZAaklINnnDaw/cmDY8sBeQaV4msb1j8eHdy7uZ1huLj/UBWHRjg8RuE2yWWUIPApAp/CYwSRUICu1gRCLiF0212TrADdM8m61V1vI5D0lGqQA4gTrU0BJEjb0q+RlzW+oQxIpbb6KBeQda1HwERFggsJRgkyUt1kvpbckVBRgJlAYHSS4NCYh8UtXaPdMweGemfO9RjDm2l26T0LFpSGpYBg7Fkj9549AAdgFD7x2KZdB09aOOMX+w+MLHrZv367uuHuz75/cmjt/7797g3hwxv4klIO2bHxcQyPcmQCal/FAlFeOwnsDIGRcYEwFCBaMWVSapBr85urcAJJpQ4KZB7T5c4kEHHV2DTixnNonE5xfAfVR7MWE3ujaEnOpM6D1LE5vsDBEYIDhzgkgGygWgZkfMBjAoHPMTRMkM22oNhCKkOhtz7ftcA/94LTb9i77t3/7s2/LuMF5YoUw4KSZ649+2jHswrgZiydPwNQAnNi587tINS7LvLodT0zTmWz5pa+lPXDRes2bDz7d/fuZEyEoIQi40doLxJ0tUUo5kPURAW//VOAgsfQkgMCX8HXQ+zSdymHEIaGxM4URrVyq89ypQZMVgQqNQ4CwNMtFBkl1mRowByH7sbpYwbcvieR8Tla8hGymXHcv4Hh0cE8ijmC1pYIgnOUW7IoFhgGeoGWkR5ealu6tqcrt6F7dPTt9z5a5X4mi+6TvyhzpVkTJ/p6Hc/xrAS4O/r7ZwIxAYhGRg++pZDPtC1YcvK/DY3eFjy5exsfGCivnNFJTustDyKf3QmA4/yVArc/UsDmre3IBorPCgFEGtVKMietLhCm/JnKkWQMCHwgnxHIZSXGJgV27OUYm1AxHdmMOob0Yhs9YzqHEia2XSmJjEr4ZhsFfF+iszyOR3cexM8f7ASiSewZ5pjX14YlC/rQ0en/ob1t7MGevm528hkX1rxM5z8JXj3Y2qqi/K54x4m+Mk/PeNYDPD1KxTYAOAjgbQBw371rAZBzGan91cyu7kv3D89bvGkQ6KQb8PJz9+HaLRyccwSUYKzCIEBQymvbOaMgACIuIXgMTKbPKqNAxpdoyQnM6Krg0OQ4fvZAgInRADPaFaADX/EXSgg8pm4kSlUj4IjropdUwmMSxUKEak1gaJiCyghcRPj1gyUMtHfgFRfPxYExD1K2P75yYfnGYkv2l0LIO5acds6JPuUndPyPA3h6nP7cswHgDin23gEsuxMH+fxRMSkqew6Jlcu75r75lYs/NLR3J+bM8LFu8ybc+9AIKAIUcz4KWQ9hCIxPhqiFAowBuQyDxyhEYAAskc8JtJcrEN4IhisljI4FaCtIy/cpIfA8dTNkAhXhV61RjE1SVGsc+QxHOV9D4B3CgfESvMJSFNpqKHR3ody26+NzosqWV118Po1YkQ5PZDcB+MW8gY4TfWqfEeN/PMDNILQHAH5hPu/ZsxfZbKb1hYXddz/0Zx9z+oNw1em97z3zuZkLIXyUC8DBvQ9B8l349QMexsZ9tLUQ1KIIYrwKRjiKOQZKOBgJwUgVkBVMVrMYm4wwPimQ8ThyGQAF5Ywq5BgKeR9txRr2DQvcuz5CV1s7zn3eanS1AYxNorIjvK02mft0awf3ix1L8S/v67uDR7VDpfIzI8HgmTb+P8CbjN7eHgA4BODHACDlJgBY393n9YRVJjzKsUE8DoYQnpdBJAPUwkp43tmrr6lWxl8ceCLsavPQXuIo5Dha2ioIs2M49/Q8xkdy6C5L5DMEbSUP7WWK9pLnt5bzt+wc/MM1xRbqD08KDI0JdHbkMG/+UpRaPNQiTnsJ3UsJtpy2fOBEn6K/iPHsMXg+A8bPb1sLAtKzb9/eMkUkO9sYWosC2UCgtVjDSGUSP7s3i8nxAK0FiaxPUG5haCtRlEs+6enuHpZS7p276MwT/VeeNeP/Af/K8VGvgWKNAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE5OjQyOjE0KzAwOjAw1bNJNQAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxOTo0MjoxNCswMDowMKTu8YkAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 185689000
{'hecke_orbit_code': 31525197425149304, 'n': 1, 'trace_an': 1}
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id: 185689001
{'hecke_orbit_code': 31525197425149304, 'n': 2, 'trace_an': 0}
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id: 185689002
{'hecke_orbit_code': 31525197425149304, 'n': 3, 'trace_an': 0}
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id: 185689003
{'hecke_orbit_code': 31525197425149304, 'n': 4, 'trace_an': 0}
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id: 185689004
{'hecke_orbit_code': 31525197425149304, 'n': 5, 'trace_an': 0}
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id: 185689005
{'hecke_orbit_code': 31525197425149304, 'n': 6, 'trace_an': 0}
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id: 185689006
{'hecke_orbit_code': 31525197425149304, 'n': 7, 'trace_an': 1}
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id: 185689007
{'hecke_orbit_code': 31525197425149304, 'n': 8, 'trace_an': 0}
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id: 185689008
{'hecke_orbit_code': 31525197425149304, 'n': 9, 'trace_an': -3}
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id: 185689009
{'hecke_orbit_code': 31525197425149304, 'n': 10, 'trace_an': 0}
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id: 185689010
{'hecke_orbit_code': 31525197425149304, 'n': 11, 'trace_an': 1}
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id: 185689011
{'hecke_orbit_code': 31525197425149304, 'n': 12, 'trace_an': 0}
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id: 185689012
{'hecke_orbit_code': 31525197425149304, 'n': 13, 'trace_an': -2}
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id: 185689013
{'hecke_orbit_code': 31525197425149304, 'n': 14, 'trace_an': 0}
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id: 185689014
{'hecke_orbit_code': 31525197425149304, 'n': 15, 'trace_an': 0}
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id: 185689015
{'hecke_orbit_code': 31525197425149304, 'n': 16, 'trace_an': 0}
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id: 185689016
{'hecke_orbit_code': 31525197425149304, 'n': 17, 'trace_an': -4}
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id: 185689017
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