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{'Nk2': 38304, 'analytic_conductor': 76.4647449755781, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 1], [19, -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': [9576, 1, [7183, 4789, 5321, 4105, 1009], [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': [[5, [0, 1]], [11, [0, 1]], [13, [2, 1]], [17, [0, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679898472, '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': '9576.2.a.j', 'level': 9576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'minimal_twist': '3192.2.a.e', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{7}-2q^{13}+q^{19}-4q^{23}-5q^{25}+\\cdots', 'related_objects': ['EllipticCurve/Q/9576/j'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9576.2.a', 'trace_display': [0, 0, 0, -1], 'trace_hash': 577344696376080621, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.998', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [0], [0], [-1], [0], [0], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [1], [0], [0], [0], [-4], [0], [-5], [0], [0], [0], [0], [0], [8], [0], [0], [0], [0], [0], [6], [0], [0], [0], [6], [0], [-4], [0], [0], [0], [2], [0], [1], [0], [0], [0], [12], [0], [0], [0], [0], [0], [12], [0], [-10], [0], [0], [0], [0], [0], [4], [0], [0], [0], [-10], [0], [-10], [0], [0], [0], [0], [0], [4], [0], [0], [0], [-14], [0], [0], [0], [0], [0], [-10], [0], [2], [0], [0], [0], [0], [0], [-2], [0], [0], [0]], 'ap': [[0], [0], [0], [-1], [0], [-2], [0], [1], [-4], [0], [8], [6], [6], [-4], [2], [12], [12], [-10], [4], [-10], [-10], [4], [-14], [-10], [-2], [-8], [-16], [2], [-6], [20], [-16], [6], [-18], [-8], [-2], [8], [-18], [4], [20], [18], [-10], [-22], [12], [26], [10], [-20], [-8], [24], [-8], [-30], [-6], [0], [-2], [22], [-6], [8], [-26], [16], [-22], [-28], [-16], [2], [-4], [-6], [-14], [32], [20], [-18], [-20], [14], [16], [-36], [-12], [6], [-20], [28], [-10], [22], [-32], [26], [-14], [-38], [-26], [-34], [16], [-12], [-8], [-10], [40], [-8], [6], [22], [36], [12], [-28], [-22], [-18], [-14], [-4], [-2], [8], [-18], [-24], [-36], [28], [42], [-2], [-4], [-6], [22], [24], [-14], [6], [16], [-8], [-40], [-16], [18], [-30], [-10], [-10], [-14], [14], [30], [4], [2], [10], [14], [0], [-6], [52], [46], [8], [-2], [-12], [2], [-30], [-28], [-14], [-34], [4], [30], [-16], [-54], [-46], [-32], [-34], [14], [-20], [-6], [46], [-8], [-20], [52], [-40], [-30], [8], [32], [34], [-18], [-24], [-40], [56], [12], [8], [56], [-52], [46], [-34], [48], [-22], [-34], [8], [22], [32], [60], [-20], [-6], [48], [-42], [-8], [44], [10], [14], [-12], [-24], [-14], [-28], [22], [-10], [10], [64], [20], [6], [32], [-30], [6], [-10], [0], [6], [-12], [40], [-54], [26], [-34], [-64], [20], [26], [-46], [4], [30], [32], [24], [40], [0], [58], [-8], [-54], [42], [62], [-6], [-24], [4], [8], [36], [-58], [-54], [34], [32], [20], [-58], [20], [-68], [20], [-68], [38], [-2], [42], [-44], [28], [-2], [-52], [-76], [78], [34], [46], [-44], [72], [40], [-20], [-18], [20], [-32], [18], [-52], [-40], [-10], [-52], [-34], [-62], [76], [-46], [58], [62], [-36], [28], [-44], [28], [48], [38], [42], [72], [-66], [0], [-34], [-12], [-36], [22], [-30], [46], [-4], [-72], [42], [58], [-28], [24], [-30], [8], [4], [-14], [54], [-62], [-20], [-60], [-74], [20], [64], [16], [72], [24], [74], [72], [0], [-14], [4], [46], [-70], [30], [72], [-14], [50], [-18], [-48], [4], [28], [70], [-50], [46], [-2], [-2], [28], [62], [30], [-16], [-6], [-34], [0], [-76], [-18], [-6], [-2], [48], [68], [-38], [-76], [-82], [-18], [54], [38], [32], [-58], [62], [26], [44], [-24], [-58], [2], [80], [-40], [24], [44], [38], [-22], [0], [-66], [-14], [-6], [-14], [-22], [30], [-26], [-44], [-10], [18], [-56], [-30], [60], [16], [-54], [24], [52], [24], [36], [-56], [22], [12], [-92], [10], [-84], [70], [-42], [78], [-24], [94], [-4], [52], [40], [18], [-92], [-12], [62], [-38], [-64], [-36], [78], [-50], [-64], [102], [28], [-50], [-2], [30], [100], [-38], [-42], [92], [-42], [104], [84], [-30], [30], [-18], [-86], [20], [-22], [-12], [-66], [48], [96], [-32], [72], [-14], [-72], [36], [-70], [42], [-42], [-54], [32], [18], [42], [-32], [44], [-16], [102], [16], [-10], [70], [-92], [88], [-18], [86], [-90], [6], [-98], [8], [-80], [-40], [50], [14], [24], [-40], [-44], [68], [34], [-48], [42], [-52], [42], [80], [-112], [-48], [-110], [-82], [-44], [-30], [-20], [-46], [14], [-16], [-52], [50], [-84], [-82], [-50], [34], [-78], [-60], [-50], [-16], [-58], [-58], [114], [10], [16], [-60], [50], [48], [68], [80], [26], [24], [74], [-66], [-64], [70], [36], [-98], [-4], [80], [62], [72], [36], [48], [-58], [-84], [102], [56], [34], [28], [-38], [54], [-54], [24], [-52], [-74], [70], [-58], [-26], [24], [-86], [-36], [80], [-52], [-86], [-114], [-54], [-44], [82], [110], [-8], [24]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 40532396679898472, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '9576.2.a.j', 'level': 9576, 'maxp': 3833, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [19, -1]], 9, 4], [[[2, 1], [3, 1], [7, -1], [19, -1]], 6, 4], [[[2, 1], [3, -1], [7, -1], [19, 1]], 9, 4], [[[2, 1], [3, 1], [7, -1], [19, 1]], 7, 4], [[[2, -1], [3, 1], [7, -1], [19, 1]], 7, 4], [[[2, 1], [3, -1], [7, 1], [19, 1]], 12, 5], [[[2, -1], [3, 1], [7, -1], [19, -1]], 6, 4], [[[2, 1], [3, 1], [7, 1], [19, 1]], 6, 3], [[[2, 1], [3, -1], [7, -1], [19, -1]], 12, 4], [[[2, -1], [3, -1], [7, 1], [19, -1]], 11, 6], [[[2, 1], [3, -1], [7, 1], [19, -1]], 9, 5], [[[2, -1], [3, -1], [7, 1], [19, 1]], 9, 4], [[[2, -1], [3, 1], [7, 1], [19, -1]], 7, 4], [[[2, 1], [3, 1], [7, 1], [19, -1]], 7, 4], [[[2, -1], [3, 1], [7, 1], [19, 1]], 6, 3], [[[2, -1], [3, -1], [7, -1], [19, 1]], 11, 5]], 'ALdims': [6, 7, 7, 6, 12, 9, 9, 12, 6, 7, 7, 6, 9, 11, 11, 9], 'Nk2': 38304, 'analytic_conductor': 76.4647449755781, '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': [9576, 1, [7183, 4789, 5321, 4105, 1009], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1889, 'dim': 134, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 33564008, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5], 'label': '9576.2.a', 'level': 9576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'mf_dim': 1952, 'mf_new_dim': 134, 'num_forms': 67, 'plus_dim': 62, 'prim_orbit_index': 1, 'relative_dim': 134, 'sturm_bound': 3840, 'trace_bound': 17, 'trace_display': [0, 0, 4, 0], 'traces': [134, 0, 0, 0, 4, 0, 0, 0, 0, 0, -12, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 134, 0, 0, 0, -4, 0, 16, 0, 0, 0, -12, 0, 4, 0, 0, 0, -4, 0, 20, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
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id: 1437923
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '9576.2.a.j', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '3192.2.a.e', 'target_level': 3192, 'twist_class_label': '3192.2.a.e', 'twist_class_level': 3192, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1437924
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '9576.2.a.j', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '6384.2.a.bb', 'target_level': 6384, 'twist_class_label': '3192.2.a.e', 'twist_class_level': 3192, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1437925
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '9576.2.a.j', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '9576.2.a.j', 'target_level': 9576, 'twist_class_label': '3192.2.a.e', 'twist_class_level': 3192, '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: 5066250
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 2}
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id: 5066251
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 3}
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id: 5066252
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 5}
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id: 5066253
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 7}
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id: 5066254
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 11}
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id: 5066255
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 13}
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id: 5066256
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 17}
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id: 5066257
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 19}
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id: 5066258
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 23}
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id: 5066259
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 29}
-
id: 5066260
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 31}
-
id: 5066261
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 37}
-
id: 5066262
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 41}
-
id: 5066263
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 43}
-
id: 5066264
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 47}
-
id: 5066265
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 53}
-
id: 5066266
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 59}
-
id: 5066267
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 61}
-
id: 5066268
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 67}
-
id: 5066269
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 71}
-
id: 5066270
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 73}
-
id: 5066271
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 79}
-
id: 5066272
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 83}
-
id: 5066273
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 89}
-
id: 5066274
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 40532396679898472, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '9576.2.a.j', 'level': 9576, 'portrait': 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Yw8fC0Q1jA/ZZibTFjuBHQGgmHssdIXbJo0LLUNJ84rap7PphnYNh+ycXbIhtkRm2ZHbNto2bFJccV2j7pqcvTEBF9/xuexAzFPHY9IVJc3v7TN219sqatZDhyf4ugZzekLCedScB9atNx41QK/8J4Vts9NcubCFBdWaiy1PZbbkpVuQreX0BsKDhxb5MDJ9hVPHrzwsiOnzl107PSFL97ymu8J7/vSJ77dkPiWbn+nGXx5pU0YWpTiV+97/MiLf/a3/1K+68WHXvzP335aL6xsZLk9wVK7wVLbZ6mtWWrDcjthuR2xtJpwbhUOLwnm51b5pR9c4qY9DU6en+HMhSZnFjXnlyznFmNOLSRc6MZMzQx5yTU9br4cfFknUAHnl2ucXdScWxb0RxDHhppvaNYSpidjDHD8XEynBzs3ejTrI6wVIHx6A8OOTSOWVjVYJ0VWezCKwWJZbods3eDRHSiEsggzYqLmsWPzkNW+4PgZTWI0sxOSVk0QeBDHgv5Icm5ZcnbJcn4lJgiG4MXccmWPF18lmJ+os7QywcnzAWcW4fxizPnlmNPLcHjJ8sIrF/nlH1xh09QEJ87NcG6pzsKKz2JbsryasNKJWOkkLHcNi13JyQ6sLnf4rX8+ir//dfX7/dmfMH7zivsF5ucsHn5t4tsNlee9/Z1l8D/6k09y683X8y/+xb/4lY9+8q5//oGPffmSvSdWLzp0ui9fcnWPi7ckJEZjrcJax95YCUhAIIRFC4sv4cxSnYcOSa7Zvczl24c0auBpie8pfF/TrEsanqTf89h/rMadj/kcvzCiE0fsPzli4+wyb3nJCtdc0uWFl7c5thiz2Bc0giFHzljanSZXXyxZHSbsPaZoNTTPHodLt1iGYcIw8dE6YroF+04GKJ3gyRjtwWAkuenyPoO+5JpLEjqDhONnWuzapGg2QlZHlg1TfVZ6Hf78LnjiaMJTR4fs3LLEtZd1mJ4JedMtXb7n5Zbdm1ok0RRHT09y+JTHyXOGUxciTl1IOHxBcGI14gV7FvilH+yycWqKk+dmOL/UYGHVZ6ktWWkntLsRq72ElZ5luSc431esdGJuvHyRn3rrgqxpcdHCueO7hsP4RbXmxfVac/rLjzzwGf7gAx/7dkNm3dvfSQb/2Mf/iisv26q+/sihf3v0xLmff+SpY+rccsjSUHGmb7lm53l+8ycXuG53g/NL0yy1Gyy3ayy3PZY7mpUurLQTVjoxy92YxTacXBHo+pBbr1rme18esmtDk9XeBBeW6yws+yy2BcttJxFWuobOwNAZWfrDmNmJiB0bDSAIPMupCx5CBuzcoNi1xbJlQ5/zKyOePNjihkstjfoKzxyaodUMCUOP2WnDYAhX7Bjy0bumuGx7zGhkmZuURMmAVi3g2WND6l6T6/bEPHUk5PySz9bZgF2bYcemEKUiTi2C71mEsOzcGDPdknQHAb2+R6fvsdxRLK/CUtuw3E5YbCeca8PSMGHH1h7f+4pFbr1cU/MmOLs4weJKjcVVzXJHsNI2rHYjVroJqz3LUg/OdRXnV2Nuuuwcv/GTS1y6tclSe4KVTkBvOIkILk38+qZfEd7Fv2zjM8lLX/kPvt3QWXP7OwXwgwcOUKvV6mfOnN7x6BPPvPvosdP/Yd/BUwwjSW8IqwPHKGe6MS+8+Bz/+SeXufbiOhdWpllabbDSqbHc8VjpaFY60O4aVrsxK92Y5Y7lfFtwpmdB9Hj7S9u86SbDxZtrhGGDlXaN1Z5Pu6tY6Qm6fcFwZAljS5KAkpbAg3pgmZqwbJiJ0N6Qw2dDnj4UYOImb3hRiPZWeXTvJBdthi88FPPSqwMutAfUtCJOImamIY48tBeztNTgJdd3+MIDLXZthkcOjvBo8PqbDLEY8PThhKOnamjps3FaM90U1AOB7wuUgNhAGFmGIXT7ltWeods3rPYNSz3LIEnYua3Pm25u8/YXh2BaLK1OcmG57vR2R7PShtVuQrsXs5qCe7kPZzuKhU7CC/ec5zd+8gJX7qyzsDLFardBuxfQ6XmsdgVBYyu15qZ/s2nL5X+xfdu2E8PRcHDpnj3fbijlt78zAD9+9BDz8/P+wUOHfvjgwYPve+TRJ8XSclcORobe0NAdWroDWB1ILgwkZ7sRN11ygV//sSWuv6TG4uoUS6tNVjoBq12fla5mtStody3tXsJqN6bdM6z0LBe6grNtw/RUn9e+sMstl8fs3KiYqHt0ujUCTwKKMJYYIzAW+kNAGKZbQw6ethgbcscjTUb9Opds9bn1mj6RWeWex6a47lKPg+d6tFcmuPmaPl9+NGDjjGXvccv/8rYOe48FbJyR3PmY4tYrFMv9DkdOznDdnpB7nh4QjxrccqXP7u1DBnGPLz2qIBEcPqWZaGi0gP5AYqwgMZYoBqRB+4Z2z9JsRWzfPOLFV/R57Q0xs80a55cnWVqts9Jx52alI2j3oN2Nafdi2r2Edt+y3Jec6woWuzEvumyBX/mxBa7dVWNhdZLVboNOL6DT9+j2Nd2+ojMQREnNXHLpNXbXxbvfe/HFl3x4cXEhvOyyvxsg/zsB8DiOZRj23/LYg1+4pN1JfuPBhx/1RiEMQ8tgmNAfJvSGht7Q0h0I2gPBhYHkTDvmlisu8Ks/tsANu31WO5MsrLRo92qsdn1We5p2V9HuQ7dn6fRjOr2E3sDQ7lsWeoKFHkTJiGsvHbBpJqHXt7zx5hEXbTLEiURLSxjB3U/WOHGhxubpmGcO18A0uHyb4vrLDEGtz6MH+ywsNrnqoiYTUys88JTHjZfWWOqvsrIywaZNlof2Kn7gVT0e3qvZtsFjsddmZXmG66/o88AzCTP1Ka66pMeFdpuHnpuirpu88DLLnh1DkD2ePCrYMBNxfiHinic9hpFCSkiM5aLNIa+9OaTbU2yZNlx/KYRhg+V2g+V2wGrPo9NXtHuSTg86/YROL6HbT+j0Dat9y/JAcrojaA9G3LpngV/+0RVeeKm7ONrdOp1+QLfv0R1oOn1FbyjpDwTdfkJ/GHPddTdGUSL/1fe+87sPNZv1z3meZ77d2Pq2ZzJHoz5R2P/B44cf+80LZw/OnD2/wkRDopULFHH/S2/OAhTCIqVFSs3DBzbycx/UvO3WZb7vVcvs2hpybmmCwK9TD3wagUezrunWJa2Bx2RTuwtmkLBxZBiMLN1hwPJCjVMnLWFsOH0uJggsIPCVRUtBf6AQeMR9zQsuEuzeYtmxtc8o6XL7w4p9h6Z53Q0B11+xwkdut/iiwUVb+zz1gGLrlGJuok9N1QkjjwtdaNY02zYKntgXcv2eOi+/bpE/um2A77V4zYssXtDnKw+FfOHBJs8drXPxlgYXbU6Ynw7ZNRdx9UUJShm0soClEQTMTwWEkUe37/PMQc+VKAwcEHsD6A0tvb777N1BQm9g6QwsqwNY6CvOr1gak21++g0L/INbR1x7cZOzixO0ezW6ObgVvYGiP5QMhoLByBFAGME9X3vIa07M/OaWLQ8vv/wlN/0f3V7/j1rNxrcVX99WgMdhHwQ/evbY/b96dO9XZwbdLnXfx1rnhFgEoEC4pUYIkMJ10ihpUTLBl5KnDs7z+IEmB89c4G0v7vHiK4dMtSZYbjdodmpMDHx6fe2+nKFkMNT0R5rhyDIMDWFkiSJLnLgjjH2sAakEnhbUfMFUSzDdgk1zhm0b+8xNt/nio3Dv4x7STPK6GzxecHmX+56LCIcT3PoCQXsw4MJSk1v2GOam+tR1wDBWLHQilBG8YI+m0Rrx2P4aL7t+kpuv7fLYfgV2khuu9PmRNy/z5SdC7ny4yd4TNXbMKzbN1JluNZhsQT0AT1uUBGNh71FBkgiiWBDGMIpwn3GUMBgZhiNDf2jojwy9AXRGsNCTXOjCyAx59XXLvOXFbf7hawxxPMG5xSadXo3uwKc38OgNFN2Boj8U9FNwD4aGwShhFBoGI8OFlbP86Z/fPtPpJf/xrd/1Mt3u9j842fr2gfzbBvDRcBlrkx9ZOv3VX71w4ssbtOjTagYMRm5VEwBCIhAIoRBCICUpuEEpi1YWTxnqnmCxX+fjd23jK493eOnVq7zn1atcvavH7FSDpdUG3UFAf+ClwFbuCAWjSBLFgjh2S71NlwslLVpDzYdG3TDTiti6oU9Mj4OnI/78nhpHTjaZCurceKXmlms6PHSgzR1fn+BFl9bYsbnPR+8SKBEw0YpY7Y0wFpSA+Yk+na6Pieu85aUX+PgXGuw+X+NNL+oTRkvc8/QsUVLjpis38KYbO1y6vc1XHuvz1MkGTx712TYjmZkQNAKB77mLUAoQwmIsGGOJ4vRijSyjyF3IwxAGIXSHgpWRYLkLQg+57rJV3vPaVV56ZcLsRJ2VToN2t063H9AbevQGxUrQH0kGQ+inF85wmDAIDcORZRRBbBQnz7X50Mfv3NAL7a+++7tfYs9dWP7DTRtm/v4D/PyyRWnErBW2vfjJHwpHw99YPf/cnLRtGvUaiDjlbY0QDuVCSIQQCCFRUiNlglIiXZ4NnrIE2lLXgpWhYqk9zSfubvLgMz1uvXaV97xmlet2t5lN6sRxQH9YozfwGIw0YaSIYkmcSBIjMFa4LKiwBL6hUYsJ/BDfG3F6acRtj0gOnfI5emoaZQJ2b/a5Ypfihss7qGCBpw+32DrV4KqLYdP8CsudCa7eKomN5YsPB4z6kqlmzOtvGvK5eyJOnGtx2SUeZ1eHPHvEY/vGaa7dtcB9T3V54FnBKPS5fNcMl28PuHxbl8Nnlzl0Gh7e1+DgkSYNLQi0pBlYah5I6YjBWnexxgmEMYSJoDcSdIaCTgShiTF2yAsv7fCe13Z46dUJm2cChsNJlto1ur2A3tCnP9D0hor+UDEYCQZDyWDk+kaHo8R5/CMH7kFoGIbO0YkSxeK5Nh/8+Fc3PHHowm/UW834vb/25Y9cNPk4P/Pef/73F+DYIdjaS48tPfKHqvM7M3WxMOfJOvVagBAR4CSIEKSsjWNrKVBKoJVK7w1aJXha4GuD71kCz9LwE6Zqgu7IY6UzzSfvneCuJ4dsnO7z7le0uXz7kOGgx1W7LNs3KUaRR5IUaX6BRUqDpxOOn7ccPSdYHRg+e1+D04vT2NBjuqbYMqvZuUlz8Va4ancHIxd5/+eaLC9P8qLLNVftbvOVJwUi9tgwLWk2YvqRj7QSrERpn/ZQcH5ZcKVt8Iobutz/WJ0tcz4vumqGf/LmRT78hS4P72/SG3osrbbYtaXOZZv73LSnyzte1uXM8jKfvS9gqR9w/KzH6dM+nhJI6VY9Yy2JgchYktgwPRtxzZV9RqOIy7ePeOcrRmyYVMy0AqKoxtmFGv2BT3/kVrlBDmzpwD0SDEe4lWCUMAwNozBxEiiyKchhEAn6oWBoNGdOd3j8L+6fe/UNE7/z6hfPRZtbT37sX/7af+M//uxP/f0D+I//4ofZOFsTf337+3Y15N49G+r7mN1aw1iBFNkSWwBcCouUTipIKVHSBZ5apfda4OkEXwt8z1DzLPXI0ggtk7WE6bqgH0q6YZOjp5r8+sdmwMSIOOaGa/rs2hQSx2CswVqXxJFCIJVAez77T/jsPVSjWdO0fMlcQzA/K9kwo9kyr9i5OeGynaskYon/+qkJjp+Y4kV7PC6/KGEQd/n60wFTdY/ZSctUK6RRd1LIGEl7qFjuWZbaCe1enZdctcoje/vsO6GYmqhx05VT/NhblvjdT8Njh5r0BpbVrub88gSb5hpsmB6yc3bIv3hXn4lGm6eOwv6TEs+zKGURwpBF59ZCHMNFmxJuvTomiTyiOMDaBsPQ49yiz2DkVrRhqHL5NggFw5FgGDrWHoUuKzsaGUahYRiZ9DWbM/cgEgwiQTcUrEaCTmRIRgOOHDs2dcXFOz9w0QuujX/jZzZ94ld+9L9Yf8P/O0z+/wrA/+WvfZw92zeq6Of+6O2/+kfn3//cvpO84tpp/t2PdLliRw8p3ZcihEGKACktSnooZVFSoZRK9bbE005z+p5i5ElGoSEIE0aRpR4ZRpEhDC0TMYwiwyiGMBYMI8koCYiSGvsONXlyHyTW4qDttLEnwVeu5qMVwFWbYaIOk03JdEsxO6XZMAM7No3YPL9KZJf5r5+a5PCRSa6/WHHxNsnubSt89dmY80uT3LBLMj1hqPkDAhlglSBOJMJa4iRkpVfj/JLH9ZfXecGeLvc9VmPjtKBRa3H9HsNPv32J3/m04dnTLVZ7htWuYmFFMzfVZHqizvTEJBONiPlmxM7rQwIvxtMxSiVI4YIJi7uookhxYUETxYooVoSRYhSl96FkFElGoWQYSkahcAFqKBiFllHozusoTAjDVNNH7vVhCMNIMIygn4J7JZL0whgz7HPdrhX+7Y+scvNlDzeak/FHOielaY+u+dSFIx9INlz8Y9/5AP8Pv/lnTLV8dejYiXeePnX+jx588kItMhv41L19YiP55R9rc8X2LkomSGUcuJWHUsbdS4unLJ5WeNrihRLfE+5L8AQjXxFGDuhRZAnjxLkicelIIE4sSWJIDE5vG3JwZ1JIS/A8CLSgFggagaTZUEw2JNOTgg0zMTs39Wk1V/nU/SH3PD3D6uIE1+xQ7Nzscen2IYlY5YsPN2h6mvlpRasx5OnD8NwRzdXbLf2R4tpLI67ZbTl3NmFhxWcwbPCGG7t87akBB08rmnVJ4E9w9cWGX/6hJe5+dsDn7p5jqWPZuSFhpa2ZmlBMNj1aDY9m3VILDIFvCHSCVk5qybS10lpcwsoIYiOJE0EcC6JYEsaCKJKMIue8hJEgjCxhCKMoIYwMYYk4RlH5cOAepODuRJJ2BP1RhIx6XH/RCr/0Y0t894sT+sMJur0TtV5/5k+sPvaP+2ruL48998fJRVf+4Hc2wIcRsn2u+30Hj5z+vf37j9emGx4rkUckFX99vyIcad75yg7venWP6YmErjRomaQ62+lhT2u8SBNoxdBzTDPyJKEvCCPhvpxIEcUQRtI5CHFh+8WJIUmcu5DY1ClJ3ZLMnVHSyR5fCwJfUgskzbpgomGZahk2zoyYn+4S21U+8TXJh78wy4ZajWt2CHZs9rhoi2Hn5hU+9XXL8nKNyzcppieg1Yg4f0xyYSXA3wWjSDA/KZmagoNHLSsdw7nFGpdeVONVN3S57d4asy0IfB8lp7h6t+DH33QBT17gr++b5rnTNTZ2IjZMxUw2Fa26olGX1ANN4EPggdbOYZICpCiBHHdhJwaSRBAnpECHKLGEMURR4kghMoTZfWRS2zFzZVILMnaSpBcJOrGkGxnCYchk0OHdb1jiXa/o8drrod1tMRjVGIYB/f6xmt/0P9CYQEvt/RmOZ74zAf4HH/40SWJ+6Cv3H/7Pz+0/OdEIFDK2IAQd6TOSki8+rPn6szXOrizxv7yjz/REzCio0enX0MrH0x6e9vDDhNDT+KGTJmHkUumOcYRjopSV4hiiBJLEOQnGuIDLGJv1cKbgdgB3gavA0w4gtQAaNUOrHjPVipmfGjA3vcr9+0L+5I46+49OcdGkx+5NsG2Tz7aNcNmODv24w0N7J6grj/lpxVQLplojpidjfF8jhLu4BiOf5U7Eat/S7sVcWPHZsanFzZdf4I6H++w/PUEjiPCUjxCT7N6q+EevWeSFl13gT+5o8dAzUyz1NBsmYqYaMY2apF5TBJ4g8CSe52IVpUhjG4dyi+thNYYc6HFi0tUttRZjQ5w4cMcRhLEtjsi5MsPYkUo/EnRiQTeG4TDGxANm6x3e+z3L/J/f36MR+LS7dUZh4I7IIzGa7uqxiTCS/zWYeIF/8OlPf/jSa972nQfwldU2Ssof/b0P/dWvnj1zanayLohMwSpaCDrCYyAlqyPNf/4Lj72HV3jLy3q84rouG+dCup06g1GA78UEvsco1AS+s/cygEeRJIzdshvFqaedkFp/pMwtMZYC3C5JmTI3aOUSJr5nqfmGei2mVYuZnhixea7D+Xaf933W44uPzLC80uSSecGODYKtG3y2bRDs2jJE+6t8/B7NkZNN9myUTLckk80EKUecXrAEWiIFWCsII83ODR0eJqHTV6x0LOeX6+zZVuMdr2jzl1/xOXY+wNMRQngY2ySKJTfsWmHn93f44mN9PvrFGR491mTrtGCumdCsJdR8QeAJfM/FKlrhAmcp8poMi7vIjMU5LYkDfAbyOHGSzoEdwsTVuoRZ8igWDGLoxpJuDIPQkPRHbJvr8vLrV3jry/q88UaDFg1WVmuMooAw9Agjj1GkU/0vWe2en53T/d+4/AXvUMNB54O1+v+cmvL/KQBfWWnja++ffPHL9/zq0888uyHwLEoIwsSiBGkWUuBJQU9KurJGO9R8/Ks17n6qy/WXd/j+1/R504vazE4FDIYBg5FP4HmEsUeYnyhFHCuiRBLHkigRxLEkSQSJEYXWNoJcldjMrXHJIpUmi3zPEPgJ9SCmVR8xN9VjEA34ytOWP//qJA89M8W073H1VsvmGcnGWZ8t85JtG0Mu3rrCU8cGfPZr80wqzfykYKIpmGhEtPsJX/h6jZbv3CFjYTDSvOXWEZ9/0NXEtHuGCyuabRtavO3FPR7a12XvQZ9mEKOkcCA3DYah0/r/6FVt9my+wMfv7vDAc1OcWKmzaUIwWbM0fENNG3wPtBIoSZogc587Kz8yqVQzpljh4hTojiAgSgRRkgI7EQxjQT8W9BJczBOGNOt93va6Zb7vNR1u2JOwcdpjMGzS6fmEkc8oLL6zMHLBbhi7wLZ/dP8G6X39Vy+76iWm3+t8qNH82wf53yrAV1ZWWV7tYS0/ePud9/6nz33+y7PtlTY1XxJJi4xBCZdadiwOvoRAQld69D3FqU7AmQcbPPh0j7+8pss7XzXg9bcOmZnyCUcBo9ixQRRrohTocaKIkzRhkxQANzZlblPUlInUhlTS1XFobfC9hMCPqAchrfqAhAFffkzysbumeOboJCIKuGjasnnKMjelmJ/x2TQn2TIfsWNTh5MLXX7/c03iUZ1t2wRTLc1EEyYaEcIL6QyaTLUsQgishSiWzASK2MR0I59uP2Glozi9UOfKi1v8xHev8ht/FnB8oYlWUXphaOK4xjCUbJoNuOGSDtdc3OPZ46f586/WuePRKc606zQDRcuHpmfxtcVToKU750JUq+sMYI276BIjSCzEiXD+eSIIE5ckGiSCQQKD2BLHMSYaMVsb8IZXr/LuV3d56dURk3WPMGqy0g4YRT5RrAkjL42N0lU3VvmKG0WK4ajNvmfu2qCU/U8XX/qiuLN86o+lP0Gz+bc3P/FvFeD9wYDZ6eZbH/j6I797+xe/PNHutPF9hUps7nVn/rYU7sTrxBUz+cpQTwR95dOPNRdGNf76wSb3PNPnpjt7/K/f0+WKHR02TCkmGpow8gljjzguQJ5kADcSYyXWOklg84AyTfUr64JYHRP4MZ4K6QwiFjoRv/2pGkcvTPPY3ims8ZmtCzbMWeYmBbMTitkpj42zkk2zMVvn+8xOrfDFxw2PPjfFNdsE0y1JqyGZaBia9RDhjQgCjVbu71sLSSIZjDSDYURsBN2BoduzLHc8zi1NcMtlPW6+cpWP31mjvqzQ0iXBjNXEiU8YuR7PuakaL9zd44WX9Hj45Wc4viD5kzumuLDa4NRSgK8kTU/gZzJMOomYE3kmVXBMHltBbCAyglECwxhCYyGJIY6QasSW6QHX7HTfx41XJEzUNXHcpN11wI5TYLsVVqeysQC3c27cfWIE3U6Hxx+5ezZKvN/dvef6ldFw8Nm/TUz+rQH88OFDbNm8Sf3px/78kr17D0wMBx0aNe2WvlISR0qBiq2r9UhAJwJPWfzYUksEDSUYKEFfBwwSj6Wwzh2PTnL/cwOawYh//MY222ZjLtoy4JarumjhWsSEcHLFZSVdrbS1JebGIqRFCeeZW2KQMc8elTyyT3PbQy2ePdEijBu0tGK+bplpWqYb1vngE5qZSc3slGDTTMyW+QGb51e455kR779tA5unNPMTMNFUTDQFrUZMPRhx/wHFMNR4TQcqawVhLKlpxXV7Bjz49JQrfBokrHY8FlcDzi9O8xNvOs+pxSUefGIeTwIiwkAOoFEo6Q00060aUxNNbt7T5+XX9Pn+Vy6w76Th8w/VeGhfnQNHmsRCMxop+pFC5aUP5cAzzQlYQ2ws1hg8kTDph9SIuPn6Hrs2D9k2F/Ge14+o+5Jm3SMMG7S7frqS6pRwVO61u0OucwhnVSaCOPFYXezy6MP3T5w9e/6S17/pnerw4UPJ7t2X/N0B+N69z9JotvwnHn/0hz2Z/Oded4VG3XP1ELFjDZeRFEjpGFvFOImQWHQMnhR4xhIklpoSNBLByMAw8RgkHv2kRreb8J8+Po2NIzbOD7lyx5DZyZh3vmrAjg0hUSRSvS2hxNxkF5g0CCn45N11njrcRGjN8TMNTp9vUKsrJgPBVNMyUTNM1KBVF0w2FBMtxXRLMzsFc1MxG2eHbN3QIbGrfPJrEwx6TS7dZploKFoNSatuaNViPC/kiw/WGPUl3gbXLZpJlGZd8YabBtz7uKE3kvQGCZ2+ZrWrObfU4IpdLd750g6PPdvg+HILJQ0QpXrZI0oUo8glZnpDTbvn06o3aNZHXLFtyIsuG3LyQptjZ1fRXsKTRzR/+dUGQrnCNcbnD1oDGLCWKEzYuTHm3a8aMDeRcNlOy8ZZSGKPUdgijj1WOh5xpIgSncZBDtAZwF1MJNNan7IBUDYCUj8+0Zw9t0xzOvrPjz76SH/PJRd9+MCB58I9e678uwHw48dPcvbcwp4L506/78knHpVaC0Cm4HZsHUubghviNAUfG4GOnU6MEouXfuhAW2qJJU4EobGEiWBkJKNEEhqPyMBCb4KvPmWwJHzmITeyAWvSI8vipRaZyCoSJVIp4kgjjcbTklYAu+YtTc/QCAyNABqBoFmXtOpODk22JNMTMDsZMz89Yst8l4QVfvuvatz39AZ2z8J0I2XvhqRVj2nUQ5qNAfV6g0BJlEw1OE4ORJHHcCAYjBK6I+W6lgbGtcw1fU6dn+QlV4746Xed5zf/UnNiNUAIg7URJrFEsUcYSYYjV8baGmiaNZ9GvUYjaFALIlr1kBsuDfG9iBsvjXnPq/toFadJIOPq7cuiPJV0xkiEkASeAnyGI83SinZ1O0kW86RHLIsYKC1cy8CdATsDcpwGrcVz0t9xrXcPPfSw1Eq+zybDrw2Hw2f+NrD5Pwzwz9/2GVpNv3748OG37z9wUFgEnpIIMklSgFuplNGVRSWgEqcN4wR04nof4yyiT9KoPovsjSieG0FoJLGVJEYTmYAktb3KtzxLmdqSWoKnoFa31LSlphICDwINNd9SDwR1X9KoSxo17QDeFEy1DDMTMbNTIzbM9NiyYYn332b46B0b2T6lmGsZJpqKVkPRbECjntCqR5xdMhw+G1Dz3QUNWaWfYBhqdm0ybJob0hn6DIY2ZXHJalfTqtdoNaZ4z6svcOTsOT7w2a1oqbEYEpMQG0sUa0ahYhC6oqh+TdIYauqBRz1IaHddjOF7iUuYeQlaukYJKZO07seWGktcCacDuaBt0ipL4+KaJJEYI4lNEe84mZEF+Nnj0n0s0tczcLskU5QIksTlK+LYAV0pxXPPPiP6/eHbt2y96PBnP/uZwVvf+j/WyPw/DPBWw/M7qws/2+0s/KwSkZSewlgQUqZdN+5IpCUxaS13IkhSeRIb0Inzq5Ms+WBs+tzmrxWPi0o55+WKPFAqa26gCGoFaGnQkrSmBTwl8LR1vrEW1AJJzZfUA0W9pmjVJa2GZbKZMNWKmZkYMTfdZ8fGJR46MOLjd29huhawsWWYaAgH7rqkWTM0azGtxoiH9sOT+xpcMm9T3VukzQcjxY2XWS7dMeDhZ6boj1x7Xm+gU5B7NGp16rUpvvdlyzx54AIP7t0EVmFMksu/OLJ5PclgpGkMLfWaouYbAt8j8BMCbdA6wdMuO6yUSSWjW2ERFkGh54rg3JUQm8yRMpn9WrJiM2AbB+LiOTmws8MRWHpfOrLv2hhYXu1LceLsv5Wq7jcbjV8Bwm8bwEfDvhyNhr94+20f/z+6q2f9eqALQCaCRAiSCsAdsFWaVEiURZv0sXENtCYhf5xkGTebZd4sJs3EZckKay2lzHtlxc2SSllCR8k0Y6koFW257F/gK2qBoh4IGnVBq26ZaCRMNmOmWiNmJwdsmV/hwf0DfvGPNnLi1BQXzxmmGjBRVzTrimYNmrWEei3C94a0h65YzFMu/shuicm0qM9EPaIfG/ppnXV/mNDtS9p1RaMbUAtaXLQp4pd/uM2/+4jk63s3YlEYa0gSQ5zEhLEhjBTDUDEIJPWRouZLAt8S+IpAGzzP+f1a2bTOJ11VU5kihK026KapfZuSiE1rWZIU8Ikp7h1AZXovCoCnj5NMb2cklq7OSVIissRijCU2liPHT/leUP9XP/yP3+P1+v1/02w0/sbp/L8xwMNRG2vDXzmy/57/rbt6vFavyTRJkH5g6Y7YCJQUxCoDssVIB+78g2WPjcCkV3IGbufRgjXWdZGnJaDlgzGAp7I7DSxJk0sCpZwk0mkrmqclge8GANUCN5KhHliaNUOrkTDRiJhshcxMDNgyv8qD+/r8uw/Psf/EDDtnnMPSqkuaDenYu25p1BIatYgoCfnTO1tIpfCkS3DlDG6zJdzjH71uhS89GtINA/opwHsDRbenaAeamh8QeBNctj3mP/zIEr/wYcEDz2zEWEliXFo9il2h2Sg0jGqu3DUIBDVPEPgus+lrm2dstTJOJsrCts0BXqQ8gZREcLkE57akgXwG4HTqgMmTaym55SuvyFfnAuC2uM8wYWyeTTVG8Oy+o7XP3nb3//7WN79GLC13fm525m+WBPobA/zcmaNgzc0njz5WV4wIPNfhLVNgJ4kgkaAM6b0gkYLEFlerA3cmP9xrJq+VKNqvHNCFq6PIQJ2d+LH3VfRupnUmkqKYKq0jdwCXeJ509Ru+oBa4mSeNIKFZd+CeaIZMTQyYn2rz0L4+v/ihGZ49Pse2acFssyRNappmzdWv1Gsx9SDE80acXprGUwIlTWrLFUFmkkjiWLF52hLHEZ2olnbKGAbDhO5QUu8rar6H79Xw9CSXb4v5D/9kgX/9h/DgcxtIjHQATyxRnKRMbhgFhlooGfoql2CeB55OnSslXS5AksoUEOn9Ohh3coU0KYTIk0MmTQ5l2eIkKb1uKK3mBbCNKb7vHAemAHoG8sFwxL33PVK//LJdN8v/gR0n/kYAf/LRL2GSqPH1++70o1HPNedi84AulpCo9IOlQDcme80B3RhLosk/ZBXYmQyxOdBtJkeyx8/z3qQoiqjcBSdycCsp00aJTJ5AzYPAN9Rrlnrg9HOjHjHRCJlqDpibbvPowSG/8MFpnj4+z5YpxXzTMFkXtGqSRk3RqAvqNXdxuFR/yIN7Bb2hT02RXmROg2dNCIkRRLGmWVPcclWXh56doB85mTIYJfQHim6gCHyF7/mpfp7iiu2GX/uxC/zMH8ADezcQGUlkTNosXfRgjnxJ4BvH3l5RR69VdpDKlELGZc0m64E8SwrZDOAp4JPceWHdldfk+rogsSSx6c/XA7ozFYQQ9HsdPv2Zz/lvetMbGp/4q8/33/WO7/qfD/CVhWNMzW2deuzrn/19Jfsvi22SfnmOAWIJMrtipdPcprRsOcYurnKjxPqsXQK0yYFdNAWTau/8yxCuoEjIFNxpkZHKAQ4qrRj0NPgerhPITwusgoR6Ki9a9RGTrQHTrQ5PHBrxCx+c5sljG9g0pZlvGCbr0KwJmnVFo65o5OydUAtiWo0h9zzps9quMT1dpMkzwJhUm0aJYsOs4tUv6HHPI8Z10YSmBHJJzZPUPI2nfbSuI6Xhiu2WX/2xC/zMH1ge2L+ByGiitALQlb06Jg8imVcX+lqidVqEJQVKZ+eG/P1lF2EmVURWlUaREBo/TOnemNJ9vvJWwV2u7EzGn5eMBWsFSRyzvNp/2cGDR//wh97zzp/cd+DY6uV7LvqfC/Bu+wyD/sLP9FcPf59ILlAL/PwDJgKksRg5tkQZkers7CovrvhMfiS5DCFn70ogOc7cKdKzjFyuvWVWQVfo7qxiUCtcfYa2eJ5rLK75hpqfUK/FNGoRzdqIVmPIzGSbxw6M+Nk/mOOJIxvZMOWxoZEw2bApuFP2rknqgWP/WhDTCEJiM6IbBggl8TIGzzW4SNkr9Ysjj6Y/dOUCYY3pDOTDhL7vGDzwpauJ19kGtJarL7L8xk+e51/+nuGBfRuJjGaUCMLEpCwuqEWGwLP4nutd1WncoZUrEVZSpucnbRmUorQCurOaX5jlWGcM3DkJlYipDO48rrLF4/JryVhJs8kxIDh6YpFa4+j33f/g44fDMPrX/1MZvLtygubUtp1PPvD+a6LhKRo1SEySR9NKFoGGMrYIQoxNO0qyoh5bArjIT1RiyidMlJiiyEra8pqZsXY5qMyW27RDR6XBlNZpZ1BahJRVD9a8JNXNEfXaiOmJPpPNLg/ujfm598/x+JGNzE9q5usJkzVLKwV3vebsxAzc9SCh5sdMNEP2HrPc/VgTX0o8ZdIgrvAosuU7ShSx0bzihohLLu5x+ESd+QZFn+MooT9MWVgrtPbSSkznXV+1E37txxf5139g+Nqz8wyjukuGxZZGWsMdeDiQ62z1Mnlvq1RJvsIpKUoAFyWQs0avFCC3VYDnFYrFyrveylywewHsxJTq1C0lyaM4cPgsd9z1yDX//ud/fOehw6eOX7J7298+wG14BLzmRZ0Ld/2WJ869VYkONd8nNkla4ARln9SUnpsM1EkmR8SaJS3zh23uaY+5JGvckpS5x8EtLFJltmBa86JS1tYWXxs8zxB4hsCPqfkxtSCkURsxM9lnpdvn3mfg1z62iacOzTGXgnuqbmnVBc2ayL1y57wYx96+A3g9GBEmCcNBjZpyF5kUolLJlyVSXKCpnZbXI0ahZRCJEsANvp/gexrPk26qgPRygCPg2l2CX/vJFf7Tn8U8sG+WM+0Jhk3JVGJpxZZaOnEg8Gzq/WdOis3ZO5MqGcDz95u+6TLOc4WYfinZqlqAuyopXTVnCey2ytJJ6XGu4W0p/5EI2ssDDp9afevH/vrryUtf/IL//bEDZ4/dsGfz3y7Ae+2jSNV40bDz5NvN8GlqwSRxkiBjkXvcpsTY2XNTtpKUyCVJtgS5pS1L2FSlSBng2Skuq8LsS3DjHjL2Lrrxi+FArizW0yYdM5Hk4A78FNwzPRZWBvzqnzb47NfnWexNMz8pma+l4K453d1IA8t6IGkENmVwp71rQQiE3PWEz0rkMxtQqcdGVFeoJHHNDxOB5lXX93lwf0g3CpjMO9YN/sjVqvvaAVwr15AtpEvQYOHy7ZLf/F87fP7BAb/yoY2cWpxmMKWZ8gWt2NCIIYjc6GVfuYFGXhZoSpEHwdl9OVAvX5hC5L0i+fcDYxKyDOxS/GRK4C/nMcZBniXw8qRfIkhQ3PXQQSbmN7x9aqrxp+3O4NjfKoOHoz6eX7/03PF7/tn5k/sR+Ght0gSBQBqLStKUbpb5yhg8zYBlgM61dg7qTILYwoYaZ+2yLElPdMYsWbo5cwFUBnBlXTmuzno7XX+n7yX4XkzNjwj8iFZ9gNZ97nky4Q+/MMFt920gNBNsmBDM1ZwscRZg5pOr9BApc5fZO0LrEfc/N0U/1Gxu2LzIrMrg2ermSklrnuLmKwbExgF8EAnXtZ51ro+MCw51Ohsmtfey4XYWwdyU4Pte2aMVnOFDXxhw73OznIvq9GuSidjS1NaBXKdxiLJpXGJTkGfnUBS14xIkBYuP7yiYS5VsRAXj2rzcPVTUnmeMnqwTnCalmCxvwjCCuq948vFnePNL9vyz73/zSx7/B93+wea3MBLumwJ81DvMyUN34Ncmt3SW97980O9Sq2nn7WJRQjrGlpLEWJQtmNuYsiQp2LsiRzKtTZpMqAC7ZD2U7at8OFC5DNclU6TMRruZtOY7BbdytRiBF+H7ETUvpNEY4vt9PnaH5tf/eAOHF2bwghqbWoKZIGEisDQDaKYd9vXAZTtraULI1a8k6Urg5MliJ6EX+vhK4cuiuYPSR8ku7Kx2I4w96t6QTVMDVvstBpFIx625WMHzktTmU6ndqdJRG+XA1VU+vvWlPW68coFf+5MhH/3iPMtxk37g0fQkE9rV4AQafEXeDKGzpI8sVX3muQRbgDu/SMtipQx0KiuwsVWpWWjzsWON2eB0eC57LQSeYnWlzYOP7n15HMdblpbbB5/cd4IXXL7jf5DBbcJFl95yUWfpmfevnn6MRt2lebFglSAxBmMkKr0vp3OtrUoUa4r6hix4zE8CoiRJxJg0ycBtCzZJs2+yDHBpUdKNniiYO0lBHuNrJ0kCf0TgDTh2PuYDn2/y6a/NcuT8NBMNj5kaTAcJrcCmqfcM3DIFt8yTQrVUewe+u3AmmiM+db/m4PE6tXQCV94uRoHyfIyDdTo8ijWX74Q339jlD2+fpdfQTKSzR4IwjRuUQWuZjq2jBHKv9F25VWHHnOTnfqDPNbtO8Qe3zXDk3CTLcZ2+p2kqQSMFui+tu3BSlylf/bLzmtmHOH1eZDrtWp88I6asdCL3zddairYEYmOrJkPun2csnv53Tt9pvvi1fVxz7ZXvf/3rXvLGpeXON5Uq3xDg1saAor9837a4/8juVnCSWDdSMLpDpdVmxpbvxx5XinfIwW/L7G1FZVSyTb8wMsbOQC4KYLv7oqBLSZO6Jhl7J3g6dp07OiYIRvh6RDcJed8nfD70+U2cXprCqDozk4oZ3zLpGxopczfy9L1M61RSaZJ65zm4fZe9HEUhB08F9MKA6SB1cTIZl7kSWRbWlmpSIs1EU7NrW4gKhnTDFgNfUI8sowzgOkkTNcr52DIrAV4veFXMT/b5ibf2efsrzvGhz3f4wCdnWRw0GegaNa1oaEFdWYLYOjZP+2S1LMobsiznGiZnHbky7rAAlVgqkyElIiuzeB6nZfo7KwsoXQiJ1Zw62eWL9+/drf3atne98YZjC8uW+ZnnH3P/DQF+6swphJyYNyPvE2bpQS8IQCejFLyudDKrH856IG0mR8osnhXr2DFgpx+gYGyBXfed2JIdaHNgV+SJTKvkVOIArhO0SvC9iJof4nsh7WHI/U9JPnbHBJ/82izDpIXv+8z6ginf0PQtjcDS8Atw1wJJEEiCVJq4xFDqTKQA9z2X+Tx61nLvow3CyCNo2jUBZnYr0tnu3IWRwvM0r76xy8e/3GP/qSaDmhvNMPIsfgxeZPBCg1LS+dZSIIUshvtQnM/ESGIjaQSajVMD/uX39rlix4iP3tHikb2TLAyaDJWP52lqWlCXEGQDljJ7VZbbDMsZYltKBFW+ogqjZwQ17ohlzwvtXQZxBmSIMwJIH8dWEBqIpMdn73rS+6fvvv4T2MUXCNNb+Bsz+LYtdfnEc0+96NO33Tb5v3zXeZQMSKTOex6NUTlTqwzsGZNX5EhVluRHBuxUopQZvFL443p0HJPnKWWTl3s63W3RKnEAV0kuR7SOaPci7ntG8Ee3T3DHY5Mst1vIeo1WXTHlWSZ8Q8OzNHxL3Sdlbcfc9UBS8xU1X1DzSSv0TApuQ+A5/a30iAOn4HS75hIrqb6tJk6K+hnXB+lAHhtJGGo2Tggu3T7g6RMx/chjlM749kMc+FQ2WTdL1MB4nUZ28WQ2ZJS4+vB3v3rA629a4SuPd/nIFyd4ZO8ES90GbenT8zW+EvhSEEjXCK6l26VOieIiVSIt+12HwdfUr4wzeYnQDKXA0woSqqydATwqATzJl4GIlU6fzsKfTj7xzNtedL5/0+18g+FB3xDgCyvnAqnk7z17+Hjz7HLIpdsSwiggSRQmrUuuypOC0cvgrjw2mQ4tAbx0Qiq8UJEmtlKg72SJSTW3QcnEDcTP3AwZsdCNuedRzRfua/HZeye50GkiajW8lseEhknPdfLUPVLZAXVfpIdMS05T3e0Lgoy9M4DrGN+Pqfkh1kbc9VjA8bN15mYEnjSpjhVFo2+J7WzJQk0SxWDksXOj4NXX9/n010N6kccgEtQ816/qp5OlilVK5X61m6NOcV6tcH2pWaOCcX57PRjx7lcOeO2NS3zma10+f1+De55qcaHdYCB8Br5Gewot3EgPT0o8YVOpZVGIkjSs2ofrkHnFBSuYW+QBaDLG2BlTJ/nP0kFNNnGHiSAasXtbm2FnuWk2it+brR+7Ahj8jQD+ic8d5sJil698Ga67pM7P/VAH0TXE0nPsnZ5EB/ZUolhZkSXZ8+y1ypcArndynZrASkBZArYb0OkkiUgBrnWCryNqtYjhKGH/aTh2RvHnd05y+yMTXFhpgldDT3g0lKTlWVraUPcsdQ9qngN3zXMzCV2ZqSwdIv25TUFucpD7nmtPO3zG8PTRADwvXeZtKUUvKigoB2GuXloQJ26c89W7Rly5rce+0w0GNUEjFgSRZaRIrT2TsnfmpmQWZKFVcp89T7qpdPqAxzD0qNdH/NAbRrzlllW+9GiPv/hyg2Nnauw73SBcDYgDzVBrpHJTfRWg0/uMyXPpQhH8r7nlbkoBakMBagMlMIPBNT7not0maRYwBhJIIuhHfM9Le9xy7ZABB6bmtt70DwdD+4f12vo6/HkBbpNjYjQa/LM///gfzP3IP1jhBZfEjELwgghfxZhQEYYqBbpKGbpg8SqwZSmgFCmoKd2PwTuL1HPN55IaTpKYdJeHhCBwk1TjJOHcEtz5Vc3hU3XufqjO6ZU6h880IQhQDU1NK5ra0tTGuQieG5xf89y4Ngfi7JDpoVKAk2ruFNxeQuA59nYXVsjRBdh7rIEnq/ZgLlEo6sFzRyFzUkza1xh7XLlzwKUb+jxzJKYfe7QiwUiDH7uZgKoEcCmF65wqMTmM228iD2azPsoo8Rh5PhP1kH/0uhEvvabD6ZUOdz3sc+RkwJcea3BmqUYy8DBSE/kKIaVbKdKufEma8YRctqwH8kqgSTlLnbktmUY1pSPtryUFeOR624SO0UHCk4cVH7itQZwcmfred/R+2vOiD61F0TcB+GOPfgop4u97w61PNS/d1uMLX6/xkU/N8qpbh1xxUcTWGcslF41QVpJEsrIkVoEucteF0iiHor1sPLC0pYi9YO1ciqgEL0iIEsuRk4KnjyjufKjBM0d9njtapzNyc/DwfNSER6AEDQUNbaiXfOBAZ3UaWdmsqwsPUlni+wrfl+kFYAvt7SUus+g5nV/zI6wJOb8sGdkArSW+tOiSzTZG4DnIkzxAd/2NYewh0MzPhEg1pBd59LVwTkdUFIxpZSoZSClKUWw27AiBNbJg8tJgJC9R+fiJ/shn03TIjo0RN1w8YhAO+MdH2zxzzOfOB2s8fbTGkRM1olhBoLBSgZAkspQNypMU62iVijjPfODs3pTuxw5jIDJoEnbvitg6E3H5rohX3zrkuUOaT97Z5PSp4zQmPkbgP/+G3esC/D9+8PPc/dSCmhB3ir1HLF9+ZJZDR31W+5IvP95g0jPs2BZx9eUhr7txxKuuC8G6tqh6k1RnSzCCOAV/FkhWGLx8yVsHaNL5JZ62IAxCWqLQ0h86Rj92SvJndwT0I8UTz9U4dDJgseczSnzQPigPNaHwpaCuoKEsNYUbZ6bSwiPlWNv3hEt6lMHtSfxUlgQ+BD6pa+JS5p42+F6cZkQj6rWQCysJdz7Qot0NmJ4U6NSLz4q+xPMxmykFhEYyGinmZhWvv2XIlx4ZcKLdZOBJJ1M0eLHFizLPOvXYZeLsQsqzTmT+N4zVlZKJJJH4iSLRithzYx+iyHNWqhfR9CNeenXMzVeMeNvLhxw4KXlyr8cgVHz0zgZHz3kgJP2BJglVVr6J1RnAxyyjcvq2AnDAGkRiEcZiU2DXmwmeZxDW8KrrR7zuxiFXXRaxc1vMpGeZm7Ks3iT4rptD7nlkQNTX4u0vu1X1L/xF3Njw7m8N4AKI7Pz7fuuvJq49cHAjwyTVd4FloWdZMJajy4YHnjF84s6Y+ZkYayzX7wl592uGea/d/KThuqtDmrV0xbEiz4GJdf5qNpyn3Rc8+ZRmqSOp1yQP7fX43NdqDCPFMFKcPedjhCayHkZ4oDUi0Ggp8ZWgJi21FNiBsgTKuhpwnXq+umBuP+vLzMGt0h5NkbO37xl8PyvQSnL29v0IpUK++rji019voXzt7LaK/n5+Bs+88CTJHA/FcOjxllsHfPb+Dh+9a5JeXKOZ6nAv0+FRlpSxebeQEDIHmPtTsqT1SwA36WgH7Zjc04pYa3ScOKCrBKXcIP3pWsytl8XcclmEFSPe+co+w8iNc/vrrwU8vNenHggWO4onn/Hp9GWqkgTPK8rznSdca+B110XMTSWu6SExvPs1Q667NMIamJ8xzExZNG6lMIkkGrgV+YWXwlU7hyx129dumJ9+n7X8xLfE4NYuAHMT//XDn7xspV1XQzEFvgUSd7aUW1aMTRgZy/m24fyqGxpz4ESDz33VXYk2sUxOG150bUir7uqA101Pli+r1HVY7Skeedqn01ZILd1MFKsdMwmNmwusQWqklHhSODBLSyANvnRA8BX4qpjR50AuioYH7RoBssbjMrgdw6dltV7G4EnpiAl0hLUhpxd9wlGNYFLip2lvlVblVbKYgoK8StZp3p1uFGHkMd1SbJ8L8cWQQRwwiAV17YZgZjUkWUJLyXJ5q8z/lvsbmatliuypMWnzSSGN4jhJ8wYqncseE8UJKnK5BK0SpIzZNmfSFcNwxY4hoR0gtaHdFjzytGa1L1G5YqkG1ZVvOi3GatYMN18bMTltsLFb2evKnTsnczUmkoSlnEsheSXWgK+0OrsQXmZmf2DiwIl2Z8+O6lzDNQA/d24ZrTu/cer8vleu9HoIPwAyu2ZML6lScIAltoZ2tgQpQ2fVcvarzdJHXA/gZf2WfjlCYLItF0hrToUqghwpUysrA3WadpakG7dmvnHpXqed9Ip06z1ycLu2LoWfgtvX5CWmjsFTFtcGP82Oel5EEEScXDT8yZeaoH08KYoAM5cnYg2Dl/3hLEHmwOYG64SRx3teP+Az9wx47nyLXuLRiN2mtK4K0BadOCrLCZSDvax0MZNCslTglR0mr4XRWuElbl6KlwJdySJp5urG08fCpIODErSwCJsw1zB810sMiCSVmYDI9s9Y5zvPa4wEGEUSabJ5LHEkiXIAp/eMWc0p4EEwGnU4dHrvKy+bOPEbxsRrdrdaA/D/+HtfRUnpf/6+LsoqJj3nTUZZIQwqrTcorbNZFAw52B3bWxKvBO518Z2xWwbwavAipMxb0JQAT7i0ciBctaAn3XMtSWsq0u7xrJBIU5qDQrozW9FVXwBc5rIl8G3e0ub7pjQ4J8ZL2dvXEVKGHD8nWOjUEFoTSCryRJY/VunrLkuHCvBSpyOMPWYnRuzcNGDfuRGDRDNMIEgEXmLx4lSHx+TOUpFCV5VOhSy2c5N2LZW6/USQJAadGBIlUTrbvlylxWpuWxkli0NIg0pBLrK/jZuSJaTNXa8M6JkDth7Ai+ReEZdlDE0lh5KCPM+Gyzz/AnDp/HnM8uf99fI9awB+7OgJhBDUbZ+5mmGUTZSyEEmRZpXSjCVVG8gVTpaB/M1kCWlXTqmwXggkRYrYTaUCT1g8kYI2lQDZ4/y1lOyLUlDyBltfCQf2Crilu/czoGfBZwrurPtHm1yieNrpU9+PiIn4/P11zi/U8SYVfrmGo+ygMKZIy6nrUvVllvQZjtwE2ze9uMf9Tw3pxDX6WlOPDWGaTleyKIjKCs7cRl7ZX8oCzaxqM7MO05kqFhLl/qY2glgJdCLTXexcLU+cAr1Ippk8wSalKSXe0seyDO7U5s33inme779UaEduQrDGgSs+R1YOkjlPimEIVp5cd7WoAPxTn/kSE63aSz7+6XtvPH4qIVDO2YiFY3HfmrwAxqQp1nLqNX8zfPONV3JBkiULBKjsXlg05FabSlPGxfD84nFWN6GlyEchlIGdz0FRuH7E9QCeBZyZ7taZLLGp3q7WkvtehO+FnGsbHjtUB+27EdDS5un5nMGpsnjGXIUPXC4VlbknHkUe118yYnZqQHulQT9WNBR4sfssKnEDlFRUBjgO5PkfkmOVmiLtm0xr9JUhMQLPCBIlSZQhUYI4BXm5eC0rh5AZyEugzkomBCYFOWlJc5aJLpJ2lWKMSv1Kmc3H3jNlNi9XqaZDPiOwXvPG+e2vesnep19z3xXXvGZ9gC91Y7rh6Lu6Q3tdZxAhsvYonNzOsk22dJ9/SXlg4/4ts871JFL7pGwmZVd5lhUrwGFzBh8v4dRZbURaA56Verrm4qxTxckSlXevFMDOmm8de6eaW5Pr7cwSdIxdgNvLqxMjBBG3fS3g/mdayEDjS+Hmb+cVhOX5LOU66uJLzWt3ShWYiVEkRjEYetxy1YA3v7TLB25rESYBvURSSyyjmHTlKlf9mVTOmbEL6vmYHIyWaS+kyMGdKIlSxjG6lOloCVMqRS7XANkC5JVsc8bk2SJdkqliLZmXR+4VNSyZTKmWdbhtEQstjhBIMcTzRtcFqv1dRkT3rcvg8fAYKmi9/uOfvv0Hnjl+ll6kaQYFwOwYoLMULGT1ujZ9s5XVZ81ItfLcjQzcGQBkCRSSouahPNogY263BUn2nJTByduwKiyedsN4qgpuN05hjLnTnk0/bW/zdNZwEJeOiJCIv7hrgsQGqDx7WQ4wi77GzNmoaHDG2vWMdNOhkizY1Ag83v2qPn/6+RGrJmKQ1BgkAi8mZ3EpLTIWedGZswvH109JYU2KEsgFiU5HN6gU5NqijJMrbsyeq2B02ePqvEmVTqgt1wlltSp5U0oO9EKqrAV4dW2vgDz7ecbcUMmEA0w2I0bmAMfO7f6Bua3fc/dT+8986drLtlQBfuCkYXoivuSxA/Hu4+dGzDaC/I2Xr6ystNWkf7mcai8D+vluQpSYvCRPcqCPlWfmWnxMc2agL8/2UEoUWjytuKsMu0mBrZUonJTcDnQd964x2abMXQSYusTegRfy2CHJwTM1rPJQUuJLgx6v0ygJ8HEXJTvyTicjSn61A3kUe+zeEnHlxT2+fqBOpHwGsaAmwUssOhapfEu7cOJUhyOdXKj8ybKOFSVpVIzyyGZCamXyGZIqlX4FuLNaIJuWCWRMTr56iBK4EdnErPXZe72bzZpXKQLPjOkzrV7gyWJRBGqVHXPt3TNznUtM0v/SGgY/cWqV5eaIwWrIjC9oeDYtj6yaPeVt+MYnTNlv+PaL3GW53FKMA70E7uzvl0dBFJJFuO55UYDbBZki7xbXObhlBeDl4T+u254c2Hm2MmfuBF+7xI7rCoqwRPzlXQ2WluqIQDvfvXwRjtegFORUsQiz5ttyHXfuTRtFFGnmZiTvenWXxw5NMEpq9JVPPXFaPCtnVZIU3NlaYVJPvBwNlbLJ2d9M5z2WO9rdIVEmW5Fs/ljm26qnGlxm+x1l0kQWzRHjDD7WtFKk+9YW2o2rgCLzTd4Yk51PiWVoPaBFLTHIZBGbFMWFOcA/+JHPopRkYXGV2ZbM3+AamNq1j2317TzvLfP/C3kydl8GdJnFK+PFCsaWZQZXosTimVyRKF0FuK/TAUBetnVgmuHUFi9PxZv0cVI5tHKdO88dh0/c0WIkfZRUafayeiGOZzDXLMulc1jV4akWTxRxogkSzbteN+SPbu/z1JE6kfLoS4mfmNQ9EsjEls6Tde1loryemvRvVfctKjN5YkDnFqIbba3SkgCV2GJYZz6XReQXdDymxwUlFhdF0FkasFvS5d+AEnPmToH/fBBLwJoG4enDLC0uurR/GeD7D59mz8VbGv/m379v1+rKAjXPvaHxKNdW6XqMvdcBc/m5GH+8Vns/v0QROXDGxyHLEmNnQWY2tUnrbJPXVHurMXBn6Xsva0w2bmZI3iKW9XTG6RGhvJCDpzXd0AelU3lix8pjxy/c6gmpDjQa88LTbpwi8aNpeoLLtg556mBIYgIGxqeWuJptnWpwJdxGri6xlLGlIQsyCyYvKj2zDnedDzZ1r2UDU7Uh7SCybnJC2pCcTddKsu7+3AAogss88Bz7vjO0rGmYqLhM6+FMjD0vk21KCiPBVLBp102v/KeNYe/H+7XmDgfww8fOcn6h/brJmbmf6fSextcy/0MFS9u1oB5bZZ4voMxfE9WfCVw+pwyEAthFH6MqsaKqDNXMQE5RI61KoM4fp0keReqFO3A7ABdDgbyyPCmzt0r7Ov2Q5a7h//6rFkuDGiLwnDyRtrKqFINzvrHmrEwTyObE5AwuUxtMM9HQvPcdXb7y2ARLI59QagZS4qc9lMXIh5TBy/X0wuRltBaTgttgkWPOikgZ3OZBegZ2JUXK4E4SJbmLQi5TCh1etBOKksTNBhXlKZ7yuRlb5dYHeOlnJWYvJJdFMGBmdupneitP3xeHw89AyuCPP/kctSDgyJETYBL8QGFN4dOWgV4B9ze7jX3B1cGOY6xNkdZ2c/LGJUp1ME0ObCmQqhg/pkqg1lKiU0mic4BnmtvkQaWnTQ5uT2f1F1X29lSE74f8+V0ezx6ug/SQUhJkpbElazPfIz79kM9bTUjB5vlOFSWZEhuZbvLkcfXuPm99aYc/ur2G0QED6RNIkSd9lBREpYBunMlFmcnLWcNSTYxRoKxbFVwbIvlsR5UOUy3GShSzaIrJtK6PU8iqPMmdlQoGiuffym1cnuQjnW0hZYyJWVo4ibWaJHEbQ2iAuUmPes1jdkLRCBwQjEyTEWnHTVlvC5teRM8H8uxDlNwS93JWmG/XDJSpeMZ5YCkKNs8Z8psBXBYAV6Uaap3WpXjkUsRThVvilYYDFZrbsben3dSqlbbhr7/aYrEdQC11T0QpGHseiYIQVSbPzuV6tl3e0+qq55ybopmeUHz3K/t89v4hS72AUGkGiUztSZG6N6JoxpbjiRXH3tlLJmfzojdSZ86KSh+nY69NOg47O+9lkIt057xcSqbyxK3OZT0uxuSKqAJcWIR9HrRnpgp2TcBZjiXCSNMb1qmFTeLYjdPQ+/YfYnZ2+qL77n/4p5cWL9BqaCzpHu8Vo/1bY26BA39GYJaxL7sE9Ooh1pcoWeKkAuzq7O9yh4sb7k4V3NnOBhlzqxJzr2HwbNxEMXJCK5e5PHpMcOB4DUOAkDpvzi2qB8vxgyi5GsWHL9eiFEwuSvJE5E5G3m6WaLCay3eG7N48ZGlfHZv4jsUTJ1N0ycUp2LNc6JXVC8nCzrUpm9vCJzeymBtZjm2UcReNSTc4yBNasiCjHNxGpLNUMk0uxqSKGMODzZ+sJ1OK1wTlLrBsX6Zst4kw8jl7doGp+St/evcVL37i9MnDx3TgGTDhpskmrxemTb2mCaM0FVGup8rO0RgLrScy19Pb4/f5rBCqIK/KE1FyJkQp2CwA7RicdBRw2QcvH+mW1qoM7hLI0/3qvbQ0NGNvlT7XOkKpiM9/vcXBxTr4hTzxStZl5YJl7biI8Vt1zFkpHV3e3Swrow01F8+FvOmWPg8/1wDjESdOi3tJmt1NqlKpYM5ysJSCPFudK+PzBEamj2W6qsjsEOnuHTYft5wokCZbYW1OTEXCp/w4ZelSe1ve9lIG9zdxnVhDDO5ijBNBGCtOn1lhw47k9Rt7g039fnxMn1sOmYhDTlwIOb8S06yp9Mtxb27tfMBvciu9wYy5ntcezE4CVa1dyBSRl4GOAztncyVKTbglcKfzCYttO1gLbF0MCMpHvGmTgjx28kRF1BshX9+v+MxXmwyGPjQ0Wgo8UZUm4++//JnXBThj+nvMMiz74lGsmWxp3vaKIbff3+eh/T626TFIAnxBfqGp/O8XOri0luYgL+csXPCZXmDKsXkinR43JdbOgnqTbX1iREl/i1KgW42hCt1dxAXuNZEDvQzu5+HNNQZHeRqaOyRb5obs2NRhw3SPQdBDj0auS6XfN6x0nN3F2BtY7w+Ul5L13kyFrdcAfFyiVCeaFsGlyEGTz8tTpd0blEhrUwpwFyDPymYtWhcjlHW6CZNWVaB7OVu7QykXYPp+SBQm3P5Ag+dONMDzEFKloErnhpSCSyGrX+q4a5SdtEL6pSUQpUymsdm2fTL3xJNEE4aaK3bEvOHFPZ48VmcU+yTSY2AUfsLYe8m8cMYY3N3bsfeSVkFjrMEogcrkqRRYBdIWejxfUaXb8CD/bkyxashxgI/HJYwB/78j07ke6IWAWpDQ8CW+dvt4YgX6A398G0orup0OSilikyYPSgz0Ld3WcUxAVL7YNZqb9UCdMXY5wCx2ICikSckqzBk7A3gxOTWXKClzO8a2OVPr/L547KXBpVYRgR/yzHHBl+5v0B/40PSQIqscpGQPrpPFLH3OMi1ktSh50FQZJD+W8CkVYIWRR6sV8oZbR3z2niFPHglA+wyNxE+1uDJug92yNBAJuTwgGfN2VcGAWlFIF+nYPFtVsiDfWAd2aYpEmzBlNyX9zk3B7OM5jjUAHwP9OEl+C9BDSNLvVnHh1CP0VvZiEoNeWV5ECEGSRPg6HUGQD4zMrq7n+VdZD9Sl1ysfRlSu4HVZXJbAXtbcOcid3i5nM5VKKwzTikLXzpU+1uX54GPgTg8vm0KbFvhrFbtDR3heRGwTbruvzr3P1KGmQbqGZq9UwlspjS0f5SfrsU95eaUImLJm5MRmc00KoI+GHi+/us+bXtLn2eM14tjDCsVAaLyE/D2JpGDx4i2sz+TlIfZKZczt2Nw9F0gjch2e+/0Zo2erbcrg+dDOMXBXAs4KyAtXZV0csf45LGt5CRghiGLFanvAYBBirEW36i7aj2NBnHZsl6/E52PxNZmo0v+NM3bx2D2RZYCX2rrKOwtUgF2RKuU0felQY+BWpUMXm6BmgPZKoM6cE+eYuHulInwv4oljkk/c1QJ8kB5CqLyLSKUbqZazrmVHKDtzIj8nJUGXgYoyc5c0uBVuRwyVjn7I94nXWKt596sG3PnAkEcOu0kCkVH0E5EWfKWgSzLglOpAissLcKsHqlolmv1UpaA3Mt3PJwuKM+0tUzYX7j7/Dk1pYGeJLCtsXpIkxfn6BoFmLreqoMv++4IsFGrkERvPAXyy6VrCokgyGspiu7scxGsj3LWgLp4XzC1KV2j2ZkpTVsd0dyFVRLGKZNouY44skCuDPG1NKzabcjs7FAPwC3BXWLt0nzXWZlJFqRjPi4mSmLsfqvP0oTp4HkgXXPrClibHlgMrsSawGpcnGXhs6UHeAFHydSvVhYnEqNRRSTSj0OOq3UNe/iLH4oPEsfhI+AwN6EQUgV+S2YUOUIVEcW+gnN8oGwpKglUWaYVrvbUuEBVWYAVIKwqpUgoqC/ZOv1dTvvBLc93XyYO4szSmxUUFgWOvlcgzvQ9DSWIVnueSlXr7pgCtJN2e4PxCmNd4V1nalv/tNRReaTnLf5RZQiKXKoU0yZaqqmNS3SNmrP5EkO+9k+9enDXfVhoeiq1LlBoDd2kofu6eqASlSwBPJYqvIw6eFXzk9hajyIOGl8oT8tY0Vd4lOL9wS8TwjSSKrQK9LFPKmwMYu54W1zQDyQ++oc9t9zbZf9pdfIlR9BPlqgyTNPmDcPo7EYVbUVpJbAb0EsClLbS4TDW6NBYr3XdkpXAAN6VYKWNyU46l1lnZSoAue/RlElwf4M9PrmUkRolluefGCoJFb7rquzcunjn48ytnH3auhH3ef24c1+v8IVH5givLUonZq5KkzN6UQF6w9XiRlSzVfqicvUvAlllwWQV3Ntuv0NvpY2kK7Z0Gl6GN+dRdTZ44WHftPkKjhMtc6rQGu9xcXJYpVL68b3CraPDCKswbbY1xwK6AXGKMJhx6XH/pgHe8qsfvfMxnYDQYTSQkA+NiBGlSMkkKWciYs5I5KFnAi7Upe7tVRVmwqfdtbQH+DNzSpmRkq6tYJlmqAF/rpuRsTokgKsBOC7PG8i7FGlS9GSPw9YDXvuqqn7/6mp0/rgeLx6f67dU3Liz1mZ0MUEqs+x9+qwBf1wIqPS4SAGX3ZKwGpQycSh24rWjvHOglSaJK2lvlOz2UNqJSdkySZJWCSQ5uT0ccOCP5+FcauPkrjr3zzv3s7wsq44Vl6XOXA01RfpLLkqruzYqtik0CShsFZMC2EpMoEpVq8UTzva/u8+m7G+w95YEMsUIyTDw0ab1Idq6T9BtNssRPxtwl6WTdc5sGbdl7k+lFKC1I62RLBmJp3d+wJvXHTRqgVlbnKtjXlSal18o4W8Poz88VgPteGkFEvxe+8eCBpSk934oRoeHChNuqTohvPamz1tIZB3j25srR9JgsKetYWX1cYXFhS8Fl6XHO2DZncTUGbjeR1aT3zg5UyqAyv1vFKBmjUgZPVMzn7muy92ChvaWQzvvOO2ieh6EYf75GQa5pEik3IFc88dJEKm2Eq02RRQo/jDRXXDLiLS/pcfjjAWGiQGgSoRkIgU5S+y4jHzJHpUyJtgiBU71krUDZouDIyhKbZ4ewRYpfgJEO+CaTKSUfvAz2MpDXgL1Mlt+CTFkDcOs2Ix4OFcfOSFYGAr1rq6DpKc6e1ESJSjcKKlrR1sP6+BtZ70qr2kHjH3BtImD95oYqa2fPM9bOwJ4xdw50VWbyQnerLIiUJWkii6H5SiV4XsSRs4r/9qkJhtIjm6BVdM2nK0i5BrosSSp2wDf4QrIES54mdye7MlPdlDW4qNSnJEYTJx5BEvNTb+/xV3c3OHxGg4pSqeIxEAKVyZNUj+fB5hjIM2/eAjq74NLXpE0lCjZl7cwTNxU2t+nfMVIgbLF6rDUTUuCXwFvJu6yJ574xyCsbXxnodC21CwmdUYJebie0ewZjBZ4nSRIHcGOq/ZbPx9x5YED1Cs388zXBRVrlth4DloEtxlg7S6RUwW0KiSKrDK4r/nams8v6u3RIx+KeDumEhg98doLTFwJQOrUGZSpPbMX3zh+XP3uFpaqJrudjnnLZZ7bHZHVnumxwj6xOwZKKJNZsnR/xY2/t8msf8WlHbuqRtZKRUc42TLL3kVJcLkwKkBf/736iUuSk85uK+1KVqZS2YHBb+u5S/W1zBn+egLNEkibDVRlDY1grE+sacNtifx8hYbIpmZmUaGM8QBG4oaFEQmASCqkyDvCxpaMIJoufZUxWWYpIQTsGhnHmzoBdsLYtBZs2DyyzxleliiBTS4vSJmV0k0sTJ0dMSapkjB3n91pF6CDik7cFvP8vJxgZz8kToXJ5kjcVj1liFd2dS7IxFnge5slwVViFZdBnKXuLMabY3CtP/ritwGs65ife2ePAcZ8Pfc5pcVAkQjI0rndTJuQMXhRgZV9Wkbov25UO1IVksTZlc1EAypGOK3W1lcSPkzF5XXqKB1MmuQpmRBU/lID+DRbFcgyTWEscW8LInSuBQm+aC2l4EZ0lw0o3bYSVzue0trjGK//4Ovpo3PdeawWtjabXFubYMYliS0FmukV3ectAVRQ7KWVKUiUDc4nJZVEdmOvu/N7NGlxegb/6SoOVUQZuB3BPOu2tRVWeVFadzC5b7wspnbyy1i5/QZQclEKeUGy9aMbqxKVEGYUxmjjRTPoJb39Nn0/f12Cpq0BGYBQRTo+PVxdWwfL8TO7yQEVSKKtPyYJNm7J4DujUJzeWMcZ23ydCOIYnlTJQXHDrYKkiV56HL3IGNxDHhoXliHNLIUaN0N3RBXphh1EUEsWBe2OZd0oR+FevpNIbYAzAZdDLtWBfE5CV255ywJRGREhb0d7Ffphrg8psOE0B7qQSYGZBZrbPjS6xt9eIue2rNR56uo4paW/X1JDJk2q9Sd6aVWLvikVY+tn6JJ6yZ8kqLG+DXW6GsOWg00q38UDqi8eJhzYxN18d8uab+vzJ531QIQiJFYKR0Sgh3BYkWaBZ8t7G5QolH1xlPRKZfZjVzshSoZh0M14qzG3dBW9LGDAZiWVsbbOfFSn852VusRZ3429bCtBaEgSG5sQqE5Ogzy4rzp0TPHkgYcN0gtYy3fRT5JVx5e9HrPmjZRavPh4Hdn4RSFtIlTHGFmKMvUUV2IWLkj5XFp2OGJMydUykTXV1SZJkjoksSRTp3JPAizh8QvKR21qc6/puv2vpNJsSFDs2jMULa3R3SXM/H9tUmAcqwfx6zcjlYNNWuu7d/jnu3m1/srGZ8ENv7nHf0wGHz0sQEaAwSIZCljaRcqDK0CEqV2Ehk/L/z7OZ6fdQZnPhHmdgzmRLthK7n2Wz30Wqt9PHWW+mKB5TflxmcyAbJuTe1ngZtqsurQWSrRsku7daWpMG3W7P0u1awtBVErqrvFT6OQ7gbwDu8hVYBjSC0hJZ1d3Z0pWf+Ly+usTcKgP8GMjzGdnjj5Nce+cJnWwcsIpRMkGntqDvR4wSw+//+QT3PlZ3vW1SO+0tpevaEcX8lfy9ZitL+WJeh8nLOC9jfW0Gs3Atij3ey+Wz5TJa125mMkclMcRSo2LNy28I+fF3d/jF3/cZxTLrPyROXRVpROm9OZBXRjhY15JG6f2556IUG6Td9WkSyAWYIr8A8qAzv+jtmuRPefjTOH7GK1nHnZS8viYFuxSZ4nCjpQPt0/Rnafkz6M3TPtoELM54aCUrCZbxzFxl+WDstfIbrbC5XVP8XrBgebDPOuxd2n9eridPpM27vd222aYkUUpjfzPdnc64zoNLGeP5MXc94vHpexuMQg/qOtfeOXvnge3azOW4/VVeVgVZwLk+fZcLm4qpqmVwg1VZlWG1VjwxEmmcVMmAHseaeiPm7S8fcMe9A+58RDnbEAlCEgnNICMvMhYsCrLAsXBeyltaZZxFmIE6fZ8SVPr5suc2lSYZ0LPv1wqBybcfTAPPMoGWcGNLr+U+/RihUvq3jXUBtBEQxXB2UdK84DMdBeilwZBeGOJ5Es+TlfEH48CtAPx5mLv4XbsOoNeyuCjr7bK3LEuORaZ/8/3U01R5ntzJgFwAW6sxoKsC3DoFt+9FrPYst93XYP/ZmpMmwpXEikx7C0oTpOwacOefLf/8ogT0b6BPMnBb8hR5tTulJFXGEj/j9eJSKqRJkEYTjTR7NkW8+aU9Htrr0w7T9KtxejxEke0DIUm98UoZbbHmWFxyJ78gpXNbVNrSVrB5JlXShI9Ia8hzoIv8ezeUzp8tGH4c6Ouy9dhzAfm/XXGejKFVX2V2yqDPLyb0u4YwsjQbY160eB5Ar/tmbJXFxfgF4k5EtgRlRUoV9hZZUFkAuwB35oMXwaXMB7PbCmNXAsoskVN2UaTrlDck/PHn67z/Uy2s0M73rrA3hfaW67zv0mesJr5KNfTfgL0rlXyMgTpn8rWtbMVW6gaTSIx0vriShijxkMrwE2/rc+iMx/s/rYniAuQGwUhIlMkGSWRaoQTyHNSprsAtAjn8hS3axTKgCwdkmf1nIpMqxYiJzCq0oqS9RRH0FrFB6TyObR2+LtEKt2msq1mXNAKYn5ZsntXoK3fWWV0Zcnggqfml5XUd+VH9I3Zd5q4Cu5rlqzB4OagsvZZ53BmzFzPxUu97zDGRGbjVmDwZ27NepXvPOA0e4fkRh85JPn13k17Pg7pay955zXdpdRFFgqciycYewzdP8hQMXgI9lLS4qLgnNm06yIEuM6BLjHRaXEpNFCW0mjFve0Wf279W59DZdFl20RWJEAwQ+WojTApuW4Dd5qBO3RLS5E++4GROSpa6d+ytUrAW8qQK9AzYcmyVz89d7rqMMffzMnyBwQQ3m2U0suw/1mCxO4Hevtljqq4IO4b+yBIlovgHS/9QztLjr42De703nYE4lz1lBrQVeSLy2XeFe5KDO2NuUR7MnjknprLdhizJEilTxyRlcq1jRpHhjgebfOXxtFpQeg7gY+ydFXkpIagEw/lSW00/ZwgX3wzZVUKvAr2cnTNp9rC8fYe1qe42hUwxkkRIVCIxQhGNNK+5LuQ1Nw84+QWPkXE6PK2EIkYzFLiKQ9IQUojcwM5SPypHQ+aopLXighz4VoiC7K37Tq1IA88K0IuMqsmTPcWsHCFwZb0iez/leE6ki0x5iGf1IsBCnBiW2xFbVi26JtE7t29dPUX39iDgHwxC8gi64gCMX0XrLBEVYFMAeV32zsFMafnKQF9i7BzYGdCLXQaqzklVf6s8/Z6UHsdI6Tp1pB9zzyM+v/7hSRKrC+dEKoSQbh8gUaTlqwxednzWZ+81Pu03QnbGgIzLFFuRK4Zs6lVajCUKRyXX5NJ548Jo4tjg+wk/+8Md9p/S3POwxPgihaz7AJFRDCgLKluSJeto8twLT1fb7P2mAWWmw0V6ARiKURK2jAcofPI1TRDrdN2XAE/p/VbljLsZY/ECTdBo3b5p8/ZV5Tc29J7ed+HwSlf/uJIGT2V9j9WSVSXGtagd87BLlX9ZMKZKulqO15Fktl+p9DXfPawcQI4lc9Ia728E7rJU0ZWEjuu1PLUs+PWPTHLf4023KY907WhIDy0FdQmBJN3kqtpcvPZIG6DzITnVYUQqbfeSaqxhunTeiueidNHbtec1I4PSHEAxLvXKP7MwNxsTaMtDT/msDkrOQRpmZlPEi4rDlC0rwP9WrtbShZBdLiXp5S6f8QmxJYmT/T6Qj5aj+O/zCbN5kZpNE02Fby9w8+D3XNRgwl/+ocVz+/brWhAAAkmULt9pSnX8bY8x+nrB5bjfXbB3aZRXWZqIsotS3hajKk3kOpo722Fg3UOVA8u0FDZ9nPgJH/nsJJ/5ahNbUyCUQ6fQCCkr/ZZFf+M36Jgvs0/ZvB3DRfnl8RKfcUC4x9Vu+/EOH5POD7Qpc1trihoVIZFGkQiNHCS8/ZUDnjvi8Rsf1IRBXABcCKzxGJE2nmT59cSZ2BZbgDJlUEua3TQ2w2IRbGaMjGNzZw8WC0L2/VtKAWaGkSTDT8ritqqvK/fj11uWaEr/rcFQoKRyY6Av25EgpCCKDINBugVGuVev0sJm1/zBQqaMj0Mug9yOSZSyc2IZH8FbAXvmd4sU4CXtXWFwmZSclDK4E2Sp9uTOhwM+/IUmwySdgi8yazDNWgpb0d7rpubLQIfKxVyRKxWwr89+2W4Gmfe8JqOJXVNCa2UpsylLzopw5c5GpsVZ0pAYTeAZfvhNPR540ufOx51dmHnjSIGxmpFx7Wh5Ecm4dZgiNZdSQqDIpEkJ5FnTQ0lzZ7+TgVZIkNZWSMKm58uWJUqWxRRj+Ev/bzxAB8sgtIzOhXgarDXoTbMDlITByLAkDEniSg6zuYRYW1ViJTbKh+QL8j111tXgWWp+PeckA3jZHiyDWxQ7e6k1OtxUPfBx9pZJEWDqiP4IfuUPJzlyOsDqYrfkivbOJFIF2GOAZh0w5xAeo5lvIMjHNxCoZjTLxVdlPb62NsXItOJQlllcIRKDEBoZGi7eGvFvfqTNA/8qoDtMP4yR+ftK0AyzDEtW3G0KkFsJmBTUltxhUWlAaSVpV1IK5rQmpUjylHIGtmDbnPQqerv0sxKix12pQsLYvKw4igztQYIrU7DoiI3EaIzoEHgLJEoQxSIdvlnSRaWred1sZYXFipnRFZkyxuaV0bvrShRT8sFL29ilbJ4zd8U1Ke3Om3reWkfECfzuJ1s8vq/mPG+ZMXfhnHiiKkuUqLK2KIN9jLnTyIny0M31+HoNk485J0UDBEUxk3XFTGuqDYVj8DzoNNKBPJEYkR5JKlWM4frLI977PW1+68+nCJOUxSGPChMUI5NpcVukCbPvXhSgzt+6cBv02jKbSxCmYG6ZTpm1tpAt4+fU5rJE5Emgqoti8/1ky+Fvdt4SA3FiGYWGbVsnmJ2ZJIpi9A0vehOe32Th3JMcePpzjKIm1uTufQngBY9nX3oOduF+Xi7kWTsqYNxBqQK6ALwdkynV/RkL9k4KXV5O6lSONLCsJXz5wYAPfbJFe+A5DzD1vBEKIUTqnBRZy3Ipr6q877X6O/8iKmGZyJ9XIL0Oa6/BewXoBcirrJ1td21zPV5IFWcjJlIhrXH1KrFiomb40Xf2efTZgDu+rqARp0wtsi+W2EiGZDFFAXKLK40lty2d553Gqq6sN5MwJpMbhXzJVm8LaaNygZ1sGrFMG0ELAhW5Wloji0vnyhiIjSWMYaUb87abbuRlt17LaruLrtUk2ndzwet+TJy4yBwDwpYnDlV9SZFKkuw1mV5l6+nvajKnpLezoellWVKSJIVMKXbYdQBPqn63dFagzPdVd4GllDFSx+w7pvlvn5jg0JLvJhulfre7lwV7lxqeKyBfT55UpMnYtKa1aqSqUta4C2UWLxIreSME66Xxx4YEZYVY1uSbyopMqgiLkBoZWXbPxPzUu7ocO6c5eFpgdVlgCZAeSQpyxkBOauOpDGkpa0tIWVzkgWZWw5Sz+Jh0cXCpzpGxyXg8Y3Nwi/QqKAefFcJIgd4PIbYKIV09vx6M3B4tg9BibYIQgjgRWZBMOe9PGbSVJbq6o9a4JCnLlWIngLL/Xd3ESKUypGDyku5WJn0+nswpgK5UgpQxfhBzri34lQ9O8Om7GlhPFen4VJqsx96qdAGudU6qwfV4UqfM6IUOrwK+wtpjYM9eW1uTUtbhGaDLAWjW+SPToqbscRp8JoYYgyedq9IeSX7mNxXnVwUEZboVWHTO5IU8SS+07D5lbSXBGpsHfTarSxFFsVUeZErnlthSg4sty5ISgPMusDLY88fluevuXksYOtGBH0C9JhiOBPr8siao18+dX5JfWuzPv77XdbM48mHqsgpUkV6xVGRI9vMy8Md1eLF3yzjIqzvmmopzUt46WpUqBpXI2NplKmXqmrjHrtYkxPC5+5t8+eFGWmuSWYIyZfCMvYtdg8vzBstuyZqy2JIWr0i1MeYuL4BrbuValDKgKTxja4oqvXKloUzdlHxbayEQIk38pM6KlBJjVfqaRFhXcRhoy+tuGvKWF/f509slYSxc2jZ78xIsHrEVDNPOYCvKMqWsyd3IZpsm5GyuvV1BlixVJcr0Z9l9JkvEmKMiSkFotoCUHxd2TFp8ICHwJIiEF26ZYcdGvnTRVv9c3Reo9/3u/811L7pxdbUnV4+dsf/w1OkV6oFXXa6VLS3ddk0Cp7gvkhFZA0KuXyvlruXETrEHY6UMtmIF2gq4y8xd7ojXKbi1jkmk4bP31vn3fzDJ0XNB2sRQJHSQGiEFgYSadIPsdToGLpstvna4UGYfFoP58ym3AqSU5NuqiOqQfjepS44lxCjmwJSPckBbLmMorY7l7ic3pSDLNbDmdytxggCMZWYi4YpLYk5eUBw8oV3CJ78ai6s1c0CK8RfjvzN+JY9f5Om/s3bRqvr/YzyQlw+XCECUf0kUaX6tBXVfsmUOXvvSHezc0vjnJ47vf/DyK1/t9uixsfsgJBIpZNUxqPjVZXlSDSShXG9S0uLZ75YlynqBpRjbAz2TKapwTWRJimTglqWAMrMEPS/h6KLkQ59qsv9wAC2VSxKX2HHaO5MmeZ8l45+Z9TvmS8Fm/pWLakBZ9cCLQDz7jfWSPY61zVjCp3BRZJ7Vq6bvpQBj3K7DmTcucmaXKRYNRiiEdd54NLJcvjvih9/e5eGnfY4tlJaqPOh0MiRGMBQuuCQd4ZZvUpaxd/oh8xqVqupx6XrpfiZKrJzLmBIxZ2n9IiGUvl6SL9K6tLxQxYVgjCAcKYZDRRi6KhoN8PJbrsAP6hw7bNn39Ak8L0nHEZtqhV9FW5dkyXq6myrQs+Ayky2Vvc1L20NnwBZ5cGko3JSscKokS/LXUvZWCctdwe/86QR3P14rqgSzjGUKbiVJdyguj0Eu4g1VAvN6tuB6wB+3wL/VW7m7fpy1KvUppG6FsIVMESXwlzKdUliMsAjjzrMRyj0Xyl1GwpD0Da+8bsT/+p4O/+EPp1gZZMBOEWdECnJNLEXuoGQgxzggkwE+JYvsPeZ7XmUlLukFIdKLoNzhk1uHKdCLmvEx+ZKdm2wLUON+PhwlhBEkahtT89fQ7w+yaxQ2btzErl177pgMzvz6tk2Cmu82ZdLZOLSKdCiyjXlHe0lmyDG5kQeGpXS7Widxo5Sz+wq3ZKwrZ011YPY4riR0htLy+59q8sFPtuhGniukypg7dU2EcGOGM+ekUlRFcaLHs5cVpl4XzNU5198K0se763MgZz+z1aW8mvAZ21/HjrW5pXXjWXtbNsDT2GIPzpaGH39nl594e5e6icEkYLP7CEwMNsYaS2xhZGBkBFF6xFYQGdwscyuIs+3ArZvIFRuX+U9ssVW4MZAk6fxzm+0wVz3ybcXzn9vSkf4scUcUWwYjQ3fk8eT+879++eV77tiwYWMB8JnZzXzqz36pf/zUwtHeyBXO++kOZFmHulRVoCtlqPRB5rXTRfZxvON93N+WldaygrHLFqDMAK2SVMZkiZwqc0sZg2d47rDHn93RoBOlG2SSATvzvSWCVJrkh610E6kym2T3VF/LZYdY+zql/+ZbQXrRrjZmGTpfKmfm6kVQakrOQS2rz/NRE9lrCpu2txmrsEYRR4qWtnz/63pccekImcQ5qKtgTwqQWwgNRCm44xTYcbrbWWzL+96LteA2ZcCLyvNi0FHp30iqF0iSAj02ECWuTS0xlpmpAJN0j/6Ln//1/o4dWwqAA1x74zu4/ubvZ/uOPdT8Eb6XjTsbH9FQvLZ+Yqb4ncK3riZqciYXa8FcBbYprQBlcK9NxWsv4dkjHu/9tWmePhhgPVnIkpzBZckWtPkgn/GdGtazBteTKZXETikQK3zCb1GujAVZVV983C4stuCubOJa6tvMBwZZmfvjtjQZyxiVjn9TJFZjQsW1l0S872dWuWr3yKEmA3l+RCnYHciHFoYGQuNAHhlBZEnBXQZ8CeS2xMi2DHjH9mYdpjcZ+JN1LpLEEieWMLZ0ejGX77mEH/vBt/Oe7/2u/Hzq7MH2rQ2010SHMfR7DMJJkqT4evIoPY/KbV5/khVbFUmeqhYvkju2+ljYXH9Xkzym8ljJBJF536oAtkwTOtozdK3k9z7V5Im9AYkqsbYo6k2gZAtWQF2uaCxYeXzu4JqxEBWwF6z+DcpP1pUnFYyXsph5n2bl9TKzj9WMWzfO2JjUtRFuMq3J9DgWI2Sar5BOjxtLgkELy/VXjPinb+vxs7/l0Y0FeJAXkWTNlAgwikQIwqyNzWRRn8gLslSpCtGmc9myJJAtEUha1pJag9nwpNJ5L+n0vCdDFD45OMCfb8PSMMCrTyNjfy3Ag8CCFodaTX24Xm/sHoxMehKq4C3sppLvLUlP2pjnXfq9qtc9DvKU7YXJH7ugMykBPknrURKkSFAiRokE7SX0DXzo000+8eUmowzMY8yNcBZdXlD1POxd9r7XMLYogF1N5ohCsqxB9jeTJ+PsXQIGVR1uIB9lXDB6WbLYFNwSmQJeWIFIa1SElS5os9Y9NmnQaS1JYvGF5V2v6bP3uOZDn2rRi3AnLA/o0vsUwomRRSCZpupdjYwDshJZrUoB6vEkULk2pQJ0WzYr1srALHEkcDUoE60GQc0/rD11SKgSMedfh3cZ+5564kvnV3d9dHW4i8GoYO7Ch7b5EMtx3Z3/nihkiRrT4XKNrCnXkVT1dwXcpcIqKTL2TlA6phvCBz/T5P/64AQXlry8trtca+IOUWJvuyZbuWZmS7n8F9aeaNZeBCXs54z/TW9jhVb5a5WnImX0aoBZSdlns8SpSpays1LV5aqyVaEbAafYNGv4+R9p80/e1qUVxE4b2KSkx1OpYhOwBmOcHi/LFSdPigAzti4YLWRKEWAmdkx2lDV69nslyROP6XUALRNuuGIDL9g999Gv3fPgl667/KK1DA4wjGt4ov75Tj94qzHBdVKE6LQGu7xbVz4oRmTMXWX0cvYyY/ayNMkLrUSRpSwztxRjAWZmC4pS+atKkDXLZz7f4Fc/MMG5ZQ98tQ57VzOWnih1EYmxfXYoAXqcuUs+dyUdX+Lp8X1F/3tv5YxmAX6Rv7B+6r7Idhor3DbaogC2sIUnLkTG2qT3mVxxLI7RRKFl83TCz/9oh6WO5KO3taCWLh1rmNzdDJIIFxf4olR0hRvImTE4KXub1E7M9/sR5NOx8lhnvJrQFllOQeZgur8y2fSZbqon5qZrn0/dwbUMDnD9C1/FheOfv2+y0X5kdiqhFkRuz/bSrmRqzMqrJGVkGcimlHYvBZBjjcFrwJ02KIz73GVwS5mgAsOhU5o/ua3J2QW/ALcYO6STWVoUzolOExPjnTrlRugczFRlSR48pvRd1t/foirJwfwNf17yvk1ZlpQvhPw+Y+txV6UceBYBZ+a4lFk8KTkscSjZPJfwnu/qs3t7CGHK4jZzWMpBqGNya13wGVpS+5DS4dg6Th0XY0WFiTNbsRJk2sJRKTN7bHBBbQJRLBiEgvZAc3oxfOQPP3bnfW9+0+sq51GPn9gtWycRQnDyxBmaOkQrTXFaxZovJtfZuMtubbBZDS6L52YsyDQFcwuDKMsUUc5YJijfcPiM5t++b4q7Hq25BsqK1132vp3nnY2B0HKt1l5vmE/ld/IO8HVkCllXuCgx+XqOSxFUjbsk2Zm0GVOvAXDJH7fk7O02ZXV14iINMNcryhK4pV4YmSaJJMKAEAZhZBaykgjlqkixmKHl1S8c8svvbfML75vkyFnfMQQ5faZDvTOaVFgEcfpyYgq3KqtNUcLmtSrZAE6bZSzTz5jJw6KKsAS0sbxAhrnN84K5HduwmWb5RgAPZt+GlCpc3PcX+M1nqddiRPpJXOKAddvYZMVNKYFZupNXkShlB2Uc4BVwJyW5kromnuHYBc2/+71JPnFHg1Ckm9PnjF3V3RLH3kWd9zrbbwu7RpKwDjiLC7r4nbId+A2Ju/zDMZbIAC9Yq8XdfalkNnteqhMnA30ls1k0QkjjIGyEA7nIM6EZ4IsoNpMssbHUdMy7X9snMfALvzvJ8Qups8IYuEuSxaYXU5aiJ+3tNIDBTbhVpQBappKmvPjZshzJEJ6tTjgmz363VbO86oaNe2SrzAAALSRJREFU/MD3vTaMk4T/8vPfBOCoLRDU/9X1V11y5Wjl0Csb/hIgiGIXhCSJA3l22RVljOX0vANs7qhIk2v152NukckTmZXDOmuwkobXCccXPH72v07yyTsbhDLd+VWsd5QzlqXh9Sn5rCtNKMCeVwqOg10Ufve68uVbCSzXuY3julwXvjZt7/5ottVMxuDjXnmuvys6vAzydBysSzWlYx5U3lAcx+DphO9/wwCt4Of+6xTHL/jkE1rLF6GxuGXBZYsNghAnMzwp8CqfReSFe1n5QUaQeUCfHyL/Myb12MMEhokgTgzNZovGxBVf3bjhon8Fq2vOqxx/Ydf2Bq3RZzqz02r/yAyTsytthOjje3EK2pSdS5KjLEOy9HsG7OLxWhlScUlK4JY5uE2RqVQJZ5YVP/+7k3zyjnXAvcYWdCfRk9UunfXYOwNzuZIPxqVIFdDjAWbBXxXn8FtG93iAOe6LFy86Fivr7UzuGKpD9LO5hkVCqDTnMNPmpkgAZSl9myaC3EBPiU7gXa8d8O/f22bzbJRnNstZzuIo63KnwcPcYckyn4VLUk0GiUoiqHyUW9N6sWAoIubnV6lPmiSSzf3v++M7O0JMf3OAZ7fDJ7vv/b/+dMdTP/Gft7L/lEvZGyPzskW3+pTb0Mbdj6xRwRSp+1LBVC47SrIkA3eRks+G9RgST/CBz7b4xBcbhKoMaD12XwK3WJuxHNfdVV1tS59tzEEpIfz59HWeyRTivxff1WzmmqRO1fcup/VzS5C1DF7u+imaJByoq5nNasYzsWnwaV1K3yQSnVje/YY+P/rWHjorAnlekCdpqrUA+ci47GdkXQAaWUo1LOXgsgRy8sUkJxwpXIB51Y4uf/x/dvit9/LURLDy3ucL2tcF+Oz2t/HUfp286dYr7cuumAIzS7tXJ4pUul9j8Y0U7Jwxd8lZyXS3qnra5ZEPhVsy1gWfHcqAFnzpvjof/1KDkVQp1ZYBXWJvCmlS7KtTAjRloGcd3Wlt9hhoywmfjJTLWrsM6OwX1pTJfivgLv1iRaZQMNca18RFaGsrDm06/aoMbCOqrD4G+nIxlmPwLJ1fYvNEEhjL972+z2tfPEAkpvDGS0VZhdMSl8DuAuEo9cxHeaFW4ZNnLoopgbxciCZw32OgLRvqBh23eOiZnfTNzfbSzSL56R963brnVz/Peecf/D/tfXmcHNV95/e9OvqenvvQ6JoZIYEuQBJCAoHBLGAbsM0a2xtC2Di2s17fR3zF2cDiCyfrM4752A6ODZ+14wAONuAIy7ENCGQQAgQCSaMLSYjRNWfPTHfX8d7+8epVvVddPRoJgYDs+3x6uuvsmurv+9X3d195KVzPheu8gMlJhsGRKmwr6prAYwqjSl/U5SjvMgC/shzRFV+hM1K59EFNBmIC965P4zP/UMTWPakgYTgB2KpiSaS3Mq5Y6o4cvRwER9yDKUGsWlzivEVz3cdAfUxwx9yYtfSERDZwqIplzCYus2i0BGWuvTONjwMIrScEDAQEkYUFTEx+xgwEJmgQzsF9YHGvi298fAyfNoBfr88i0BrFEMRfvMLPBqS7mwe83IeQzhwEDByRnY6Iks5cSBf5RJW/k4huBYoZoMEwUGX5idm9y35upzJ173FdimKlC9xM5b7b13vaqOdzlKsmHC9wz/IozChKawsoiQLuKHAqbg2JueADYEtwG0QU8SEm8KuHMvjcdxuw9fkA3DW2bp2aEBoolVA6M0j+jTiop6AbSVYV1L4SpXVMGieje4r1sRgVaSlRl+N8XXPZAzXcO7SLq3xc5d4BdQnpisrNZZgtM8AcijPmuPjah8dw5QWTwjDNWAJFqUdbOHwm7OUVDjhct5n7YS10YXUJ1I5QyNgmR8bmIIRhztyFgzt3bvlOV+fMure6LsCLOQt58sLPViyZOZpKZVB1KJhPIhNhKJ1VhTGiI4aiaIaOHk1x9DVwh17LIOYEJvCr9Rn89T824NndKSGSEzyUoSQPJK0VUpPa4j0yCyeeAjYl2FXMxkyICcGDCtqnz8N57OcJ+bSyPYpLIYorP049FCVTBb3GzZWQWo2bR9GHXOPmEV0JXfwOxeIeF1/50BiukCD3pwK5SlnEzGQsUkCrjERu/pCPRz1C5X2QRgLLAAoNBWSbFyLXtHTKe0un2phuaKm6Pv0ATc+ZAJSUNQkS1TJSI7kDTk2SrCRMAJn6Grgp8UGo4Ny/fiSDz/9DA57dYydLbsSkN43HmsgEBiXmBLr0rqEkmsIYA3Mc7NATH+QM0BePDXGVZwpw69v0bB+ZDKH3sow4uuTlcdCrXFzl6jHrSqwPJ1dAzrkRdnVjzIDvECzpcfG1j4zhzedPCj6eKMljfJx5oSTnAaCr0gOqSHMtboVFDzaZ/LD09JkTGZt+oK2jvTrV/TWn2jg2XGX5Yt/Gc88lY89veSrnuERTEFXXu3TLS6pCwhgTJsIfVXs3icBOAm5uEB/EYOAGwdo/pvHpbzdg656pXPA6uCmJHDqqObA2zjuewBtN2njEYFjvJAQ70aS8hHII+Hq8JbYuxkKUDSQU1/FQWl3pVPi4OhmYcoogj5OE1hUOzUYuaxwGXFwEhNCAPnOAExDZviHg5BQywIkDMEAcD4vmuvj7j46Bc4J1G9Lw42KTsyBUOTiMsPB4kQ8nckhdCV4SRCNS4bgCOCgIPMZhBi76o2ULq9ZcOLZ04ZyNw6MlhinGlBK8oakFuXzxKIFzTbZphVupCulrmkHPd1PkQKpmQcmvpcQ2SBIHF6Am0jtJPBAqwP27x1P45DcasHWvBHfQmYDElUvJOaIMHTXOW+9pWQvg0LGDWkmug7x2XYjd2H7q+uMdPPYK1ysraxycUGze0uEepyohXVGkuCq5E6wrWoIE0995kAnEJXVxCBbOcfHNT4zionMqMFRJzjwk28hV86LgIYxxuIo0rzJRsqLqE1R8AscXlIVwD2+66Ex3ouJe09jQcLSlpW3K+zolwAnJ4Mih/TAzCw5kGpbsTqcLyKUqKGQrSKccWKanm/u0ZAQW2LFZTKGMvYiIVuQmwbrHUvjI3xfRv9dGWLeC1FEqIcEOnZognp2jei+TpHc9ylJbdi0R0Crw4zMg2uWY4E5y34ceSyi8XLOHq1wbEbAVbi5Nhhwkxs/VbCCVf0s7uUphZH2VmO08MB9yh2D+bBff/atRXLKyAkOzkwehtnFbeU3GkPgH/ED5LDOgzAhKPsGISzBcoRguA42NRVy0csHu887sObBnz14Uc9aU93ZKgIsf1cDwwQf2mobz/rauXjCMgNASbGsyALgsuqPHdFM1UIrIvMmAexOZtMBg2BzMJPiPjSl8/OtF9O+3wRM5d0yKUx3cBkmu533MtDM1qD6G0URlMybJdfBybT+xvT68ec2HYFER4yoFib6BR8BncWVUkdrKxIgX7oxATjVprlpReOjdlGA3Im4eAl44hXiVYP4sF9/65CguXlkB9QM+ETh8anl4jJ/LhGcWcXOHA2Wfw2EuGJlEmU1iydL5mCh777/jnof3moaBYw3zWDu0dXSjUhlHKpUbeHST+9Ad6zZdQPlR/NllVcxqpag6hsanpcIpubUItAo+S6+l5OIpjn2DJjY8ZePG7xfQv9cGt6ewcUupTaNAqpCaADXZOXVpChCm2yWaBZV1IYoVb2ZYOkylK8rkUMLlte1TjRDTPDoRV/h4aBKPcXAQxVJCAq6tcXGEtm8Bah658Knk7iTo9CDMrFEIAAm4Og24NwMx5LZANgYMmBKAuAynz3HxnU+O4oYfMDz6ZAr7BgHYEHecI7KTS3LPabAuoKKch+mFHAA8YG7HOK594yBampqxevXch1acdeHAZGUSuUzumAA/9hQA8KUvfQV9Z71lqOo3lvp3Z971+OYhLF9gorUobphatjgqyBOzgSvgppTDSAH9L1r4yg8K+Pa/5LHvkCVqB9Z14KgxJxSEIvJWUr1ovSkL+ajl2JR2IAaJ4k7C6lKxdYZSvSpcHziRZEtqEtjdwxZ5RFawktuUdUTdJ9mac1zvALSaflSfmHH6BXBlnyjegiScS07JpKeZNp1rdgCID7Q2+3jDcgednT627TQxNEwRNdxUprOc0aqiEX6FSNxIUWBhF8c711C86cLz0Td37l/5kzvXpwvzpwPdY0twOS5eMRsNhcLG5lT57pV9g2+HvxWlSSCfnQQNQR0pk4ASmBV+FhGGNA3sPGDiplsKuGtdBhWfAqnpgxtEzEytzTZJiBYMwaPXVUxap4e/RvwjXJ3gg4+oS0zLfIkjbmGp9UwKCR1CRWKEIHTfM4gKUpFkl+uhRB5CsbREHk+KKIk5SMUJjhHURVTwgZ7ZI20ZBKAeQ0ezj+uuKCNlA//7HwvYdcACUhLEgaQmUoIHsbdSmlPBuwhsNKc5/IqJ/oMrsMBbcXeTtXDjpFOa9r2cNsBnzerCkSMDe1eeu/JjRXOz4U2aV5mGC9uqImVWQQ1Pox+QSchKOC0IQC2CXQdM3HhLAXf9NoMKjh/c0iQoFEoltoQqdAQxuiHfqbKM2PYAyFoMiiKsajh5nKIQBfDTRXLNroJjazEmCpjj72K7ooASHtKOkILIczEEveUDyiJBTeQsCMBPZHwKE85zGrnwKY1yIWVlKQ3kQXw4rzCkLIZr/ksZ4MCNtxSw+0UTsIILIsHkCcEtb3RQfpb5YADKngGfpjFSzt0zb8GKj+1/4dC+2bM6pw3wYyqZ6mhr60J1+KF9PfOWbunsbEA+exSZzDhMuwzLrsJKOzBTLgzbg2EHsSSGCK0FBWiK4PnDJm74XgF3/iaDCg8qXmrgjkc9hRwgBLfWYhu69FZzLMN49Bg4ZWKf3A8122vBHTebxK0rOtKP564qT2rlcxzJmkNIceKo22uq03L9fLqFRYk0ZKqSKRVM1fKiprlJ5TNy94fLiDyfnFMwlyDDGd51aRk3frCEOR2u0BxVa4rvgTgeiOOCOA5ItQrDLcPyx2A6gxibGEVDWydWrVqx5Rf//thxgRs4DgkuR67QBSvX87V1G57u/eXvht+97/AIuDeBt543gYuXOUEjWXFH+2Z6aC0KjafqA09stnHLnVncsS4Dh9AgnpsqL4JaSa6GwAupLeJMamsKxmt616SiIQJxTdy3TiVrKUh8nSLV4+NE2EoIRE1iR/cyBDdRTIhS4ZSJA2qMCudR/3ggKmzJpUeQwAidRTJ5GUFJ5qjGigAtB0XQso8owA4YBmMAoTwU5qJnjqi063uiStq7Ly0DjON7d+bw5FYLVSb+kdYGht5ZXnhtng9cvMzFlasrmCxnwGgnUo3Fn8/sPftr5fH9x31fT4g5fuPWn6OtvSF7z92P3//s3hfXXLhsL/r3MDzxTBrcFEWifZ/jz986gQ9dO4muFh8//XUGf3tLHiMlAy5UGzdFXXpCVfNgpFRK6R0mM9CY51Kpe6IqiVopZ1XxDJVJEh5PNMWUKAqoKPpO5HqCoDyy3E+WTRZKqVA6SVhmWZ4r3iuTGoryGxQgMgz1enmwDCWxRGmSG6ynShmPeJe6pPYwNbXYw/xZPWE8CsVQnXpR6AWRWVihJU2JMyIMxABcQjFaovjCLXn8/N8z6Gxh+PC1E/jzqybhBcmc3OTY9KyNbbsyuGBJK3yctv7MlUsuL42NTzbP+Ivjxuq0rCjxcf+v7sQXv/BZ98JV8687e1Z/z7WX7cX2fSYeeroRZWqj4lM4LvDEcyYe2WwiZQD/65YCjowYYGphbHIs7l0f3CaRVW9j1pEEq0kIbqpQmATLCQ2sIkQBOaG69SSyZKjWEBKCV92mWlLiVpQki0dSJ4lonfJ90NfVRkEGoaZEXwd1H+WzWB/1XQrpm0wUVePdVauJIiJJ8FiL6JzyfcFTiBIgnwXOXeLi0IiBL32whKsuqCJNOUxuwCAW0imKe9en8MV/moEJZy7Ov/CdO4dH226d3femE4Hq8VMUOU6b1wtw9lhXcfHqhx/dmvn9M0WY+SJ8wuG7ZYAxzG118IYzPbQ3ceRN4Eh4s4gimWNghkpZYkqlaimhMY8luA4I+QNrP6rCvRH7oad4T+Ti4bL+EIw/EkndLfrQY00SrCQBW1G3IdyfhMolpEWERF5OEZotO53VWlbEsSSiGFzWGaegjAkDSVBznEN+hwhnJTywoUslkVNQJjsURsoD5T5IEEU47hIcHiZ4YLON5mYPvS2A66VRrmZAKxTnL3Rw3jk+unpXlDtnzH3MoMelKp4cgKfSeXA++gWz8VL+498//4mBgYH0nCYDw1WCo66LVQvLuOF9w7j4bAc+CFYtr2Lf2hx8QyInADMUwEOV7uJXpMFFqo6cpFgTrXBPKHnjFhL9s4q70DUf4+JJndJqoJqoZE6f/Un/R6JVJTT/xYEtgaxfiExE5jx2bBzUgUUldPRQgHKFyxOEE4XI4K2gXASF6KwMCMWTQlFuuSwxx8FBg+sRE4hwDm4AjzxhY92GNNZuyOA/NqRww3vHcWaPibHxBoyX02htGMd3P9VZsTvWfMuF/TetjdkThemJA1yAoMg++pW7buxu73Hfdj753PDRI/beIR+ndU/gS+8Zx0XLPRDOUaEMuQxXJF4AxTg9obpiGeVV6mGwJq2vSGrud6jbE7oUkzpgj4O3ngJKanYRy4nmv2PdzFpgSxOgpmgCmmIZgrrGrKjYzhEl2IRmRE2CS8lOwQmLbOQINEgKUEaDxg+BnTpQIhmTtkOEJsLQlBggXzSbYsH1c0yUCbhrwCEm7n8si0k/i7+9voq8mcfegQI6Ovqcs7tb/66Y/tWXSeF9U0YLvqwAB4DVfXBMe8bNznjZOTQwdlPn/ipdfaaNxXMKmBg3YFuTgOWKoJ+QmpAQxCHIqW4mlPVMZISgFl8CVVrrwFXbjyRFCKohrXVpSXwCID4JEogHqQX6tECuTIZ6YbQaLUmiKCQCvVhJwDgDIVHpidDpowZoESUFDoFUD6iNwC2PYlnAQUN7u9wnaHSVCHIemA+5KC1nBFKfB6ZZSgDTAowcNu1owj/9soqVp2VwaCzLlqZn3dQ90vONZ3aOOi8VnydOboLxJ+9+B5aeNlK+eM2MuxcuOp3nUgbaCgWMlAqoOrawiYa4IBG4w0wcSUciyhL+/wodiSweuvTWjpRJDdCBWatwJStbNaZCzeBNdIkdk/rxz8crwNWhxnnr2fZRZbGw6I+6fzzSUAN1ZP/WoxKjcFsGGVSlPCmUxGQ9USJ2fGgnj4XiKl0muPQ8hTfZgGHaaMpZGDyaw9iEgYWLF3Ken3P3H/snyxdc/LaXCs+XLsEBoNA4E13d2R0HBls+eOGa9C3UfYQaQb8cg/rwqLBAhFBUqUnQM0d1MUpqYirgVssd0/BMsfBXTAFg9V0BICERz5bL0LbF1mn/Oak5Rt2JqNtjUleV2uEHghqJLt/jUlzl1iQwIgsbNZdOSQXcKoVR7eYRPWGMwKA8ehoENm4eRGlxAo2Ds7CWMxOcHEGWDmgYAiAlulAuRbUDcYjoHQTOwJkP1xcJyfPmr2BLF8//oJOduYNPDp0MaJ4cgM+YeS72Pr/L6Vm++Nbm1LYsq9Bvwh/EeLUKDwz79ln447M2mBHj3bGelSBR+GtoDpTgBteVyJoqVbwGwHVBHpPYcY6tsZAaqa5L+lrYn5js5lOsVzm9xpkT1iHGraECHgRauhsi6R+Wc1M8qqHDB4K+EKookQioiSDoYg0HOET9HAAhXSFBBg8lPqhPsGqRiwWnVfH8YQbT9uCwNKqpudh12PzUdUvOuXXnjl3+aUsXnwxonhyAA8CcuX3wvef9lsVX7erfni/9zbdKhT88VcVFS8dw3WWjwsMZ1jOJOg0ngduOgTvKq6xnM+ZT0I+EdDQJxQSw14TEKi+xXZfaSUwleUX9IUMzgBjQQ89lFDoLRUpHEhyhlA3nQoBSRgAjTFRWPZdcmyhheIjk6EQ2nJWSPFBUEXkrAdFdGUCoeAoJr4BcuQ+MmODMh2VyzGpj+PS1ozj3dIbtA22YtJeXFi54464ntx7yly2cd7Jg+dI5uHYyI4vfbPDuyTRe+qELVv/p0JzW2Vg+z8S5yznWLPVAuYWwGatW7mFqcCflVSYqgvJVD+xImgC1eZaJghl1rC1x+vISyLea1KBl0svtScvhvkSPSUEsxkWlKIASz1KbpBy5+yPuLhOWEfLyGCcPEyWUzH2ZEMEM+MyExyz4MPHQkyk8srERDz/TAs8/HavO+bOhqy9f9aGFvS/cU8hnjn2jjmOcNAkOAISI1m3DQ2O3v+fqNebZc+nXbKfadmT/BLbtSYNbWRDDBpdJqIESp4LbinFuLRNeoSZTSm8o26CAV1USUcudVXqSZHVBwjGADuzjkeSq5NY31DlOXS+q8dTYySOnjzpJgpYhwTHRhEiS4kSbEFAojKjuygOpSJQCs4okJwTCjBJJck5ImJFPCbBgrodCl4GdL/bikHPxkXntF3zWrbq3m9n2kwlHACcZ4HI0NTfAc0r/vPq81bT04pavfv223W1P7GxBKpOGQQkcTuAomSAS3DblNY4cybnFZ4WHx95reTePwBpcV1yCSzUwDmYSQyuJcRuC6MQaDhP4ynELdA3EqFE85fo4MCXeo/15eIq4skkgQmSNOBcnYjIAEd2RAJcdlUGjyslEfk2QSAEm7OggJKArPDCFS4BTVB0bi3sm8N8uLmGEzT+y9KxVnx8eq/5zW0vDywHFk0tR1GHaBThDP76VEfMzm184e6iYT2N2nqMrw5AmEPW7AtewSURxeovIXvE8lokT1BhP4N4gqCO9p16GBvQIQHFFEspy3JpSV7Xkdbccc6i2cJ1aoEayRseQ2P5KOG1IM3SKopsWpeUkCsGNmxClGVHLwFdCaGtewT6EiB5NjBkYG89hcKSIo4PNuO7yOUNdbcZnvv6Te259ucANnGCw1XTHl//PfZhsfs/TDdnG/TMK/DLDHU415glGypPwWBUeN2FSijTlSNF46tnUoa8Esf464TGxF03eRwZAxbdrwVXh/lHwVHgNVE0X0wOqZNBVlLKGmvekOoi03sRE9A5tm943iChPlZrjEAvMghD59Y4B9M/RmuAhEU5iRQdAdACBaAVvmh44KihXCfYcaMXwmI18sa/U2TH3Q+edwf7vFZf/93oGpJMyXhaKoo5ZRY8Rmv45b5rh+XPtnxj+3vSH+8bwyPYyvvPLbhBuIkW5oCcKqJV7FfsR5bappDePpDT0feTJNE6urocSEVeHaiT96EmL05Hd6q9bj5Pz8Gwqz4277xVaHqcvweFqBSwe7MgJVxKSI6WVkIi/y8kh7ZBMsbgAPJy0IkGCh1Yb2yLwfR8/vDeNDVta0dNq4PwVfRVutrwPJHPX0Kj7ktzw0xkvG0WR47Mf/RP0dnK/0DDzruVLOq67eHVnZfUZZcxqZzAoQdbgyBgctsFhGRyWIUqimLRWastBkl6adIr201zoJPKVqseq51RXhpJOhVMCdVG/jCTvNuXg09iQ5N3USrsBUK0pYlleOwm9nKqHUz1GKzehble8ThF9UkvAibLLnkfh+QY8z4DrGXA9E65nw2cm9hy28LvNNip0dqXK267r6Oi9a9NW0+9beu1JQln98bIDHACuueYaXLLskF/1/vQXc2Z3vP+RXUvwg3uakIaFloyPrM2RtjhSEugKD5dKZDiSFDsNxDHJDv0zoHNw/dha4KvfGT9HTbDViVLvOEgVMPMY+hPNh0p8SGQWJHXPp7rhpcTWJg0SJk/NJZPQA+r7FB6jcD0K1zPgOBaqjo3SRAqum8P1l1Xx6etbJhuaO66/dvXKX/z0vv3+m6+4+uQBbIrxslMUORacdS1KE1fzfPYvni8efW5Hd/OdTRn/SCtnwaMSCEGhxjCrsRHhnSa10lsz7SEB2CHoI46o7lMzcaAcp1wbEJ1D3VE1dEyXmpCpVkjKAcWzGN8lwZwoDChRfDgHCU18HJG5MHT6SEBLykFUj6hiYkz4H5imaBKNYnEAvm9hdDyN7o6+0Q/M7/ifM+b97I6bvk1ww8evP/kAqzOOT8V/iWO8zJFLg5w5I88/dvNt14+VJr+xecuzLdv3jIDDhBEEyTPZZ9EHPD+o9h/cNamgqdk8NYFYNEmpjFLOVCVPVSZVJbImcyc4zghroOjnC7N6tO/Q66TEv19VcMNza9fOY9UC9PS08FjKletVtof3SK0ILPfX09zClDaSkNZGRFqbLAMifgoBbs+n8H0Dnh/Ei4PAMBgcl2HcaUf3zEWDpp375EipcNtZ855Bw6yPvZKQe+UkOADkMySAKXD1VZfcZhimufW55ptv+u4DbUNHS8ilRHsU1+OAL2pEc0BrZ2FAj7uIU4ZEWqJI7xqOjmNL3trYE9QcQXD80kKVeFJSx2PJk6S26lpPPC8USQ4eSXEoLn8kSHHVWcR5DeWSE4MQiBBYYoBzAXLHFRSFc4q0XYWZyiBVeMORRWef/znP827LFYonC0bHNV5RgKujubkRE+XxHy09+yJy9ZX2Vx/6/e/aKhOjGK9IjRxwPdHXpeqJO00JF959FdxEB2gSyNUoQxBdatY4d6BOGlIX3CS+rt5+x8vFCRLpinZhsZgUtVmqGosS7KZxdklRWOBXqAm84gjiyiNTDKGRH0J2t+YUYB4B5yZcj8JxDTgexeAI0NTUgnPPPO9IsfO8z/tgPzpV4AZOIcABIJfJY7w0ces737zSO2Om+c11DzzQtP7xo2hICyvKyCTH4RKBSwjSJpAxREinoZYegwQ0ryu9VQCrnF3ZrCmmoQKqDI1jB/vw8HjlZOo4ATIeSlEoAVCIcfCaaxPSGDzaHimVYsaoXFwmL9S46hF9UVhQSNpNCECIqGBmmT5sywMBxUHPxETZQrlqoJB14NJmtM++ZLjYsezTBjV+kkqd3NiS4x2nFOAAkC/kwLl7+zkrlw3tO/RCX0trz9/teO5x64UjHLM7gM7OUWzcYWC0WoCRJrBljDFiYI4rmgnSOylHU50oUw3CeeCyn4KWKLxhug1MNBs24icUUjr8yrhrPvlKxTGQwA7WBbqN6DwtTsJAgtxJJU/TUCS5dNuDhPEopsGQy1TgsjI2bsvBd01UKxx7XvRxwXnnuDOy/mdm9561q+xk7mtpPOXwOvUABwBCLLajv/+elcuusk1/+2T/XHzvp798mnQ3+fQta1zcvWEY3/91Gj6zkyMDkezpjEAexZwk9+aZmksT5a++LlpQbTMnorlPCdppxKdIyqyXeSPhp1CSBxaWKINesbiQKKmByDxPmdwcnI9SDo+5+NHaFP7tDx24YnkaC3oI6+pZxl170YevuGTBj/ftPeS0dJ06WqKOVwXAAeC0+fPBy087SDffzkn3H1ac6b6zNXvkS1l7ABVXtIZOGVHCse5+53WBH4KcJgE7tp9yPSQG1PBzAk/QqMsJDvX8qhItv5IngFzl1pLKKK3dtcEC7i2anArLTpg5r3gwpeIp2w4SLhN3Anu3Z8IyDVgmwUgJ8EkHmlrb/tbPzLzDpW371z74gvPmN5z+ygOoznhFHD3THSSzFIScVn5u+0T/us2X3Xzeis6bjHyP/3R/K7IgaEwx2Iomr9YA16ME1WVSS1E0nj0NfqJeY7i7RNZU+9U/MY995knref1jphpc+V4txhuyIRViLxJ+n3QCMUaCxrBRXqbrGyhN2qg6GZy/yMZFq2f7NN9701veuvxm0y31X75mdvnVBG7gVSTB1XHFFW/D0N7b/aY577khPXjYfPMlD38qv35Tyi2PouwyDI5TETNOo3JmQAzcUEBOk6kJEK+JHY0kQ0YNdVGVV6KeL05nkr9AOrdCwSwpfOzLaskRr1lTc3pVsnNFvBMBclnuWKShcS2jhwULoh8qYJmi9vvRYQuM58BoO+bNO6v6zdWXfL1Y7LiBWP+GL37y6lcQIdMfL+Gh+vKPg0dLSFEXHqdf3bpt9+q1a++jrc2jq3+ydtAkTg4tBQFw4TKOjpO1/4ywJqDK0YkG6JoYF6JL/yjKMHLUaMuaI4eE0Yh65KDyFKGkLnWqdepEzpmkdSQIUJNOnOi8PPn/I9G+VAoIymAYUa1DOXxGAC6cNo2FCiYrR7H+2V5v3sz2DRdedDlrbevZ4Hrk89kMBzEbTzVU6o5XNcDVsX/Hz1DM24X+faM/uO2e59+1fesEzZplUEpRdoGqIzroEhIEaxmAYZAA6LGw1+CcSY98nc4QBVgReNVz6d5LvQMElY4lBeCEJiu8NaG7VNcv9M4UsqgoV45RW7SokYZRjDcBDyeQePoJYJsGh2kymIbwVPo+QdUxMFkx4Pk+utspkDbZzsNn/OvoZOtf2mal9JH3vutUQ2Ja4zUDcAD47YadSKXTrQcHBj62r/+pxdVK6e1PbdmB0gTBeJXAYwLYKROwTSJAHlRpltJcfcAzpitqgA68ELzycyCppbs+7oLXJHlMekc2exJ7SiBBadZDDIwA5NFE1QGuSvnIGA6Ay/olEb+OqtOK3u8G5bBMBttiSNk+TIPB9ymGSyYODwENzX3oaC3cvXzV/C2FYvu3gepRQpacaihMe7ymAC7H0cMH0NyUn/OHDdu/tXPHtrc/vPEZPLylBA4DLVmChgxHxhYApxQwKQklurQ2MMbhBy0dWejhUGhFIKVV6R9Ja2h0JIwvoXGaoicZqOcXn+MTKi694/EnCIFtKEBVga5SEsYJ/CDkwfdJAHApsQGTMlAKWCZDJuWjkKsin5lEpepj7+EZaGo/C3Pm9t1tFxZ9nLnje3vmdp/qn/64x2sS4ADw7M5BEGrOc8d3LT06Wv7Yzl3PXXjv+qexbZuLvnYThQwBiOg4ZhoEtiVelIreka7H4Hocro8oYRYIpa6szx3W+g7ASxWaEu5LiTYJtEZUEtwS1JpSmkBPZIlnpYY4CRKxo3URsAXNiILPCI3shIwTuB6B41I4HgnLsaUsjpQtnDbSytKQc9HVOohDJQPcWoXenkUP+rTw7UVnzH4a8HYScnydFV4t41VpRZnOWDSvBQB2cs53AtiyYMZkV1vXvO9veGz3vIPPbzGa8hwHhzxMOhz5DIFlEqRTBkyTwvcYGOOoMg7fF9wdCBxGFAAVXkstyQCKwhYzkEcgDhw9RAd3TXgtFLu2EgciGYYWX4LIxk1jMbNxJ5eMApRf5zPA9wV1m6wQeB5gmQSUMKRsjmyKYXSC48AREzPa0jh94fl+54KeneufTP+P0xddOACgP+naX0vjNQtwOYIfoH/LjsH+3jn+5Vmr0D3rv55z57bnHmy4fe3zucMHJ5FPc1gmRUPOQCFH4bgE42UfFSeS4JJbh3FLRAEUah1DCReiWDEi/h03A0ZewQDEhIQtRrREgzqmy7BKrHKdJAhxVa0hlESZ8JMVgqPDPhyXI581YBoEhSxHY8MkrJSBw5O9E+dc8MaxYrF8TUtH54F3zTL2vtaBHf4sp/oCTuYQQAUFJop/fGrXqkND/g+3P7fdG9i3oxl+qTCrnaCnu4yqN4Gf3JfBxCQJ+ay0tpgGCfip/ExEGp1BddpBIooirDVRlweDEq0bhFRshTlTuMmlJI4SlSMlUr6bSssSSXMknTENDtvkME0OyxR0Q74bBgtMgGL/sTLHD+9l8Ksmemek0NOdwmk9DaXTF8wa6uzuMQdHzffbuUV/nNGRHQXAXi/gBl5lnsyX/M8I/sse3zY+nM7PuL+xoTj/xm/9a98H3nvtl9esXvlsz5yWpzo6/MqD29IglMMjLobGgUkHKDuA44vHulQ8eaB8EglcQwARiLbrkpQo5sQArIbk8gHQA5D7Cj1iQecD/XvleaMEasZEEojPIikvExMkD7cthmzKR8b2UcyXwTECz3XwljUcfipdyeZbn1pwxrJnV13w7i8P7Lq9L50tzp/b23X/jLYjw4SQ1xW4gdeZBE8au3fvhWGY5IlNj6K9o2JQK/O9Tc8a82cVdq3ZPbDd+Je1KbTlfQwMOTBgorlAYBsCpJYBpFNUvGwK0xC83HF8eEFJbMsgsEwK06IwKI2aTZFAAgdSmDHA8YS93nX9IEqQgBoUpqrIBgnXlgXYJmCZwkLieQRVVwQ+GQaQSXFk08L6YQf7WCZDMVeG41cwNplHZ4uD+zaayGfO8N9xeff6rQN2//Bw+YOtWdtfvXoVPM/jbR2zTvVP9LKO1zwHP9bo7Z0DRILWK42V/nLRGZkmGwe+suWZO+xNz5X8N64wlm3azZc//fQobGMCpQpAQJFNUVgWh2kQZFIGsmmK4ZKP0QmRxmXbNOiwRgS4Dd1KYhgCpKYZSPsyMOkzVKo+GIegPwAoEfGOjAPcD34YLiwilsmRtkXXs8NDwPC4iWyawDaFNSVl+sikXVSqPoZHLbQ22Rh3mrHtYOOmQsPYE1ZhlnHlm650+nrb/rptZnW42PjqiPJ7pcbrXoIfa/Rvux+2SS7cuM27bPBI5ZqMWV3w3L4JbNjYj4LlIm05aCtStLdY6G4zUGEjWPcYAXNsNBco8jkD+ayJbNqAZRD4nMPzOAyDIJMCcmmOXJohleIYKQFP9fsYLflI2UA2RZFJG8K6Y1C4nmgJYpkE2YxQBIs5huaiA5+P4zePAuOlPFqKBB0tFLM7OTpaCZqLHuz8fBwabkd3p7kdBrlz697Cb0yDP3jVmy491bf4lI7XvQQ/1ph/+uUA8ODg0NCDAB4C9/vm7h5km7cOsDN6mnrm97R9bmLsILrbbWSMA+jpfBEPPN2AA0cKyNgWMmmRZdSQYzBNH/sOMrguRSEnJG06xdHS6KK7rYT9gxO4Z2MGA4dymNkEGI0E6TRgWRTFLIPjVbB3gMGgNkzTDAKdPGTsSew5NIx7NmRw0dI2zJrdjdZGYP6CLtjk4M1pc/+e7vlraKc3k6ZS5i4A95++uPFU39pXxfhPD3A5WpqbAeB+ufziwCHYqVTjiy8ObNi100Z7s+W2N/d8oq158aXXvcPGkaMmHt+4CRYto5BLYUYbA6MOfre5AupQzJ1hI2MboPDR1jiMoYkhbNhiY9k8D78Z9bDvSBbZFEMhKxIyOpqryOVL2HUwD8exYBgWMhmO1tYCeuZfhMZZDj5u2ehqSq2zUPlmY4FYM2afgdbWSx90HGckX2w71bfwVTn+P8DrjBldHQAwAuBXAFAaHQA4ttlWpWPFWZSVxhm2bt0O33Fh2xayaR8eKburzzn/RuJUrizmuVvImuho8VBoHcWTWxgy+QIuWe5h0aIKHtmcwYxGE+1NFnIZgu52WO1txr0/++2jN+ZTlmWYJiyTI5vLoaVzCYo+Ra6Z0lzaOsQ59syd3XWqb9FrYvyn5+Anc9y79mGAkI6howeLKdPnmbSJ9iYPDQ3jWPu4CermcMkyDy4dx7qNKTRnTLQ2WkhZHG3NJunqbBvlnB+a1Xf+qf5XXjfj/wH+1/3vf8EtTAAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QyMjo0MzoyOSswMDowME6B3lAAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMjI6NDM6MjkrMDA6MDA/3GbsAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 207072000
{'hecke_orbit_code': 40532396679898472, 'n': 1, 'trace_an': 1}
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id: 207072001
{'hecke_orbit_code': 40532396679898472, 'n': 2, 'trace_an': 0}
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id: 207072002
{'hecke_orbit_code': 40532396679898472, 'n': 3, 'trace_an': 0}
-
id: 207072003
{'hecke_orbit_code': 40532396679898472, 'n': 4, 'trace_an': 0}
-
id: 207072004
{'hecke_orbit_code': 40532396679898472, 'n': 5, 'trace_an': 0}
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id: 207072005
{'hecke_orbit_code': 40532396679898472, 'n': 6, 'trace_an': 0}
-
id: 207072006
{'hecke_orbit_code': 40532396679898472, 'n': 7, 'trace_an': -1}
-
id: 207072007
{'hecke_orbit_code': 40532396679898472, 'n': 8, 'trace_an': 0}
-
id: 207072008
{'hecke_orbit_code': 40532396679898472, 'n': 9, 'trace_an': 0}
-
id: 207072009
{'hecke_orbit_code': 40532396679898472, 'n': 10, 'trace_an': 0}
-
id: 207072010
{'hecke_orbit_code': 40532396679898472, 'n': 11, 'trace_an': 0}
-
id: 207072011
{'hecke_orbit_code': 40532396679898472, 'n': 12, 'trace_an': 0}
-
id: 207072012
{'hecke_orbit_code': 40532396679898472, 'n': 13, 'trace_an': -2}
-
id: 207072013
{'hecke_orbit_code': 40532396679898472, 'n': 14, 'trace_an': 0}
-
id: 207072014
{'hecke_orbit_code': 40532396679898472, 'n': 15, 'trace_an': 0}
-
id: 207072015
{'hecke_orbit_code': 40532396679898472, 'n': 16, 'trace_an': 0}
-
id: 207072016
{'hecke_orbit_code': 40532396679898472, 'n': 17, 'trace_an': 0}
-
id: 207072017
{'hecke_orbit_code': 40532396679898472, 'n': 18, 'trace_an': 0}
-
id: 207072018
{'hecke_orbit_code': 40532396679898472, 'n': 19, 'trace_an': 1}
-
id: 207072019
{'hecke_orbit_code': 40532396679898472, 'n': 20, 'trace_an': 0}
-
id: 207072020
{'hecke_orbit_code': 40532396679898472, 'n': 21, 'trace_an': 0}
-
id: 207072021
{'hecke_orbit_code': 40532396679898472, 'n': 22, 'trace_an': 0}
-
id: 207072022
{'hecke_orbit_code': 40532396679898472, 'n': 23, 'trace_an': -4}
-
id: 207072023
{'hecke_orbit_code': 40532396679898472, 'n': 24, 'trace_an': 0}
-
id: 207072024
{'hecke_orbit_code': 40532396679898472, 'n': 25, 'trace_an': -5}
-
id: 207072025
{'hecke_orbit_code': 40532396679898472, 'n': 26, 'trace_an': 0}
-
id: 207072026
{'hecke_orbit_code': 40532396679898472, 'n': 27, 'trace_an': 0}
-
id: 207072027
{'hecke_orbit_code': 40532396679898472, 'n': 28, 'trace_an': 0}
-
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