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{'Nk2': 30968, 'analytic_conductor': 61.82018124487527, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, 1], [79, -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': [7742, 1, [2845, 4901], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 12544, 'field_disc_factorization': [[2, 8], [7, 2]], 'field_poly': [9, 0, -8, 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': 1, 'hecke_cutters': [[3, [-2, 0, 1]], [5, [-2, 0, 1]], [11, [2, 1]]], 'hecke_orbit': 25, 'hecke_orbit_code': 108086391090454078, 'hecke_ring_generator_nbound': 29, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '7742.2.a.y', 'level': 7742, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 79], 'level_radical': 1106, 'minimal_twist': '7742.2.a.y', 'nf_label': '4.4.12544.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-\\beta _{1}q^{3}+q^{4}-\\beta _{1}q^{5}-\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7742.2.a', 'trace_display': [4, 0, 0, 0], 'trace_hash': 364737012563210135, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [29, 37, 37, 31, 35, 27, 32, 38], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [96, 115, 115, 93, 97, 117, 112, 94], 'Nk2': 30968, 'analytic_conductor': 61.82018124487527, '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': [7742, 1, [2845, 4901], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1105, 'dim': 266, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 33562174, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 7, 7, 8, 8, 8, 9, 12, 12, 12, 12, 12, 12, 12, 13, 13, 16, 24], 'label': '7742.2.a', 'level': 7742, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 79], 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192, -12, 220, 0, -42, 0, -160, -158, 236, 44, 0, -60, 172, -28, -16, 216, 188, 0, 336, -104, -40, 202, 76, 48, 0, -4, 144, -272, 96, 58, 324, 0, 100, 0, 112, 12, 368, 2, 0, -84, 180, 96, -168, -14, -220, 0, 142, -64, -24, -34, 80, 8, 0, -92, 248, 60, 184, 36, 68, 0, 76, -20, 132, 48, 160, -26, 0, -120, -150, 6, 40, 56, 328, 0, 152, 158, 76, -20, 376, 184, 0, -16, 450, -60, -50, 8, -272, 0, 8, -34, -72, 36, -272, 74, 0, -200, 708, -2, -152, -280, -84, 0, 234, -162, -48, -64, 60, -12, 0, 52, 64, 208, 308, 16, -64, 0, 100, 24, 108, 24, -176, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1361955
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 25, 'source_is_minimal': True, 'source_label': '7742.2.a.y', 'source_level': 7742, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 25, 'target_is_minimal': True, 'target_label': '7742.2.a.y', 'target_level': 7742, 'twist_class_label': '7742.2.a.y', 'twist_class_level': 7742, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1361956
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 25, 'source_is_minimal': True, 'source_label': '7742.2.a.y', 'source_level': 7742, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 25, 'target_is_minimal': True, 'target_label': '7742.2.a.y', 'target_level': 7742, 'twist_class_label': '7742.2.a.y', 'twist_class_level': 7742, '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: 4558050
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 108086391090454078, 'p': 2}
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id: 4558051
{'charpoly_factorization': [[[-2, 0, 1], 2]], 'hecke_orbit_code': 108086391090454078, 'p': 3}
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id: 4558052
{'charpoly_factorization': [[[-2, 0, 1], 2]], 'hecke_orbit_code': 108086391090454078, 'p': 5}
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id: 4558053
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 108086391090454078, 'p': 7}
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id: 4558054
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 108086391090454078, 'p': 11}
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id: 4558055
{'charpoly_factorization': [[[-18, 0, 1], 2]], 'hecke_orbit_code': 108086391090454078, 'p': 13}
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id: 4558056
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 108086391090454078, 'p': 17}
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id: 4558057
{'charpoly_factorization': [[[-14, 0, 1], 2]], 'hecke_orbit_code': 108086391090454078, 'p': 19}
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id: 4558058
{'charpoly_factorization': [[[-24, 4, 1], 2]], 'hecke_orbit_code': 108086391090454078, 'p': 23}
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id: 4558059
{'charpoly_factorization': [[[-62, 2, 1], 2]], 'hecke_orbit_code': 108086391090454078, 'p': 29}
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id: 4558060
{'charpoly_factorization': [[[2916, 0, -116, 0, 1], 1]], 'hecke_orbit_code': 108086391090454078, 'p': 31}
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id: 4558061
{'charpoly_factorization': [[[2, 6, 1], 2]], 'hecke_orbit_code': 108086391090454078, 'p': 37}
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id: 4558062
{'charpoly_factorization': [[[16, 0, -64, 0, 1], 1]], 'hecke_orbit_code': 108086391090454078, 'p': 41}
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id: 4558063
{'charpoly_factorization': [[[2, 6, 1], 2]], 'hecke_orbit_code': 108086391090454078, 'p': 43}
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id: 4558064
{'charpoly_factorization': [[[15376, 0, -256, 0, 1], 1]], 'hecke_orbit_code': 108086391090454078, 'p': 47}
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id: 4558065
{'charpoly_factorization': [[[-38, 10, 1], 2]], 'hecke_orbit_code': 108086391090454078, 'p': 53}
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id: 4558066
{'charpoly_factorization': [[[13924, 0, -268, 0, 1], 1]], 'hecke_orbit_code': 108086391090454078, 'p': 59}
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id: 4558067
{'charpoly_factorization': [[[324, 0, -92, 0, 1], 1]], 'hecke_orbit_code': 108086391090454078, 'p': 61}
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id: 4558068
{'charpoly_factorization': [[[-6, 1], 4]], 'hecke_orbit_code': 108086391090454078, 'p': 67}
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id: 4558069
{'charpoly_factorization': [[[-96, -8, 1], 2]], 'hecke_orbit_code': 108086391090454078, 'p': 71}
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id: 4558070
{'charpoly_factorization': [[[36, 0, -44, 0, 1], 1]], 'hecke_orbit_code': 108086391090454078, 'p': 73}
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id: 4558071
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 108086391090454078, 'p': 79}
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id: 4558072
{'charpoly_factorization': [[[-14, 0, 1], 2]], 'hecke_orbit_code': 108086391090454078, 'p': 83}
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id: 4558073
{'charpoly_factorization': [[[-14, 0, 1], 2]], 'hecke_orbit_code': 108086391090454078, 'p': 89}
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id: 4558074
{'charpoly_factorization': [[[-2, 0, 1], 2]], 'hecke_orbit_code': 108086391090454078, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 25, 'label': '7742.2.a.y', 'level': 7742, 'portrait': 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g0+l26OmZxIOLMg6PQ8LtmSgIFYw7FzNboDQ7suaAQCSUoYZrQbGSv9gGOzEOkAbQyXb4np9jNOz3tMtXwu2pKyY2OPZiNCSEMcCzr9OnOdgKmGwJc+p2cDDp4SHD2bcnwhJaz3ed1NPb7rFgjlJPuOtTl+TnEmZ+45w4F5w41XzfGL71liy9Qkx85Mc3ahztyS74jCHse5pYwT85r5YYN/9R6hf+ztF3x8cuPUT9CPV8TUj367IfEXuv2NBvjCYoczK4JWYN577Pjzty+f/IBc6PZvv/7CY97myWnOzK9jbqnF3FKN2SWP+WXB4nLGYidhoZNxZhkOLwg2rFvml35wgZt3NThxbprTs01Oz3ucWzCcnU85OZcx202ZnB7yimt63Ho5BLJOqELOLdY4M+9xdlHQjyBNNbVA06xlTE2kaODY2ZSVHuzc6NOsRxgjQAT0BpodmyIWlj0wVoos9yBKwWBY7MRs3eDTHSiEMggd0a757Ng8ZLkvOHbaI9MeM21JqyYIfUhTQT+SnF2UnFkwnFtKCcMh+Ckvv7LH7VcJ1rfrLCy1OXEu5PQ8nJtPObeYcmoRDi0Ybrxynv/wg0tsnmxz/Ow05xbqzC0HzC9L5pcyFlcSFjop8x3D6RXF8cWMTZPHeetr2mki1j38sz/xLr19+1UPC5n+bBLXCcK/udnRv7FB5m+9/5PMTE9w+szcL7//4w/8q0/e/UjY7URsWN/jv/6U4sLNEc36kCj2iRNJnAoy7WGMwgAGQGRIaTg8P8V/+GPBL//IOa6/MKZVn6ZZb9FuhLQaPpNtxbkFxdklj689UuOLD6Vcur3P5RelLC4NuGJ7xPe9QZOkCoHh89+qMdupUc8ijp5R9Hotrr0kY3YlZc8+n13bJQdOw8svg04XYu0RejHrmrD/VJ1GPSFUKRMtwXIXbrmiy6GTIbt2ao6cjnjhkP19/vYhh84ZJloRiysxX/haAyMUWZbxmuv63Ha94eyyz/UXD7l4i0+atOkP6uw5XOPsvGBuKWN2KeXcoub4ouBcL+a6XQv8wt/vsaE9xbEzk5xbrDO/7DO/LFnsZHR6CSu9jJW+oTOULEaCNI3ZMmN456uPeDs2nXl12Fti/vgbbmtteJOuNyd+7uDuT3DJNe/8dkNmzdvfSAb/8Ec+ya3XblZ333/4Fw4dO/dzj+8+pk4spCxEECUx1188z3/7J/Ncf0mdswvTLCw3WejUWOwELHQ8lrqw1MlYWklZ7KbMd+DEksCrD7ntqkXe/eqYCzc0We61mV2sM7cYMN8RLHY0Cx3NUlezMtCsRIb+MGWmnbBjowYEoW84OesjZMjODYoLtxi2bOhzbini2QMtbrjU0Kgv8fzBaVrNmDj2mZnSDIZwxY4hH/3GJJdtT4kiw7oJSZINaNVCXjg6pO43uW5XynOHY84tBGydCblwM+zYFKNUwsl5CHyDEIadG1OmWpLuIKTX91np+yyuKBaXYaGjWexkzHcyznZgYZixY2uPd79mntsu96j5bc7Mt5lfqjG/7LG4IljqaJa7CYvdjKWuYaELZ7qK2U7CrZef4f/6J/NcfUFAb1ins1JnZTCFrO3KgtqWXz7XveY/TtYOZzfe9rZvN3RW3f5GAXz/vv3UarX66dMndzzy2O537T906j/tOXCKKFN0I8HyUDIXCZZ7MTddco7/8o8XedlFdWYXp1hYbrLUDVnsBCyueCytwHJXs9xNWe6mLK4YznUEp3sGRI+3vbLDm27WXLS5Rhw3WOrUWO4FdLqKpZ6g2xcMI0OcGrIMlDSEPtRDw2TbsGE6wfOHHDoTs/tgiE6bvOGWGM9f5sk9E1ywGb70WMorrw6Z7QyoeYo0S5iegjTx8fyUhYUGr7h+hS890uLCzfDEgQifBnfdrEnFgN2HMo6crOHJgI1THlNNQT0UBIFACUg1xIlhGEO3b1juabp9zXJfs9AzDLKMndv6vOnWDm+7PQbdYmF5gtnFOgsd3x6nDix3Mzq9lOVuxlJPs9QTnO4q5lZSbtp1jvf941muuSBkcaVNt1+nNwjp9gO6fYFX244Kt/z7yfVX/Om2bVuPR9FwcOmll327oVTc/sYA/NTxA2zYsD7Yf+DgD+/de/B3Hn70aXFuvisHkaE/NHSHhl4k6AwFc0PJfC/m5ktn+dUfW+SGS0LmlyeZX26xtBKy3A1Y6nosdwXLXcNKL2O5m9LpaZZ6htmu4ExHMzXZ5ztu7PLyy1N2blS06z4r3RqhLwFFnEq0FmgD/SEgNFOtIQdOGbSJueeJJlG/ziVbA267pk+il7n/qUmuu9TnwNkenaU2t17T52tPhmycNuw5Zvinb11hz9GQjdOSe59S3HaFYrG/wuET01y3K+b+3QPSqMHLrwy4ePuQQdrjq08qyASHTnq0Gx6egP5Aoo0g04YkBaTGCzSdnqHZSti+OeL2K/p8xw0pM80a5xYnWFius7Rij83SiqDTg043pdNL6fQyOn3DYk9ypiuY76bcevksv/xjc7zsopCFzgQrPQvu3iCgO/DoDhTdvmSQ1PW2nVebnRdc/JMXXnjxhxcW5uOrrvybAfK/EQDP0lgmyeDNLz5z9yXLHfO+bz32pL/cFfQGmt4goz/M6A2NvTuQzw8lZzspL798ll/5sXmuv8RneWWCueUWnW6N5W7Acs+j01V0+tDtGVb6KSu9jN5A0+kb5nqCuR4kWcS1lw7YNJ3R6xveeGvEBZs0aSbxpCFO4L5naxyfrbF5KuX5QzXQDS7fprj+Mk1Y6/PkgT5z802uuqBJe3KJR57zuenSGgv9ZZaW2mzaZHhsj+Lvv7bH43s8tm3wme91WFqc5vor+jzyfMZ0fZKrLukx2+nw2IuT1L0mN15m2LVjCLLHs0cEG6YTzs0l3P+szzBRSAmZNlywOeY7bo3p9hRbpjTXXwpx3GCx02CxE7Lc81npKzo9yUoPVvoZK72Mbj9jpa9Z7sPiQHCqI+gMI27bNcf/+WNL3LgrYHZhkk4vZ26f3sCjO/To9QUrA8nySsZSJ+ba625M4sz7tz/wfW852GrWvxAGvv52Y+vbHmTGwx5JMvjBuVOP/frS3L7p02c6tBsKg0QIiRAgJUipUVKjlEFJ8KRGCY/HD2zkZ37f5623L/J9r13kwi0xZxfahEGdehjQCH2adY9uXdIa+Ew0PXvBDDI2RppBZOgOQxbnapw8YYhTzamzKWFoAEGgDJ4U9AcKgU/a93jZBYKLtxh2bO0TZV2+/Lhi78EpXn9DyPVXLPGRLxsC0eCCrX2ee0SxdVKxrt2npurEic9sF5o1j20bBc/sjbl+V51XXzfPH949IPBbvO4Wgx/2+fpjMV96tMmLR+pctKXBBZsz1k/FXLgu4eoLMpTSeMqG1I0wZP1kSJz4dPsBzx/w6Q09+gNFbyjpDbAE0bffvTvI6A0MKwPD8gDm+oqzS5pmu8NPvXGOv3dbxLUXNjgz17bg7gd0hz69vkdvqOgNJL2BoDswDCJDlMDX73vcb7Rmfn3jpscW33TnLf+q2+3/YavV+N8X4EnSA8SPLhx/6L0nD90zHfd7hEGNRk2SaoPWAvAQQiBEhhRYkAuDkgZfGkIlee7gOp4+0ODA6VneenuP268cMtlqs9hp0Fyp0R4E9Pp2Se0NJYOhRz/yGEaGYayJE0OSGNLM3uM0wGiQSuB7glogmGwJplqwaZ1m28Y+66Y6fOVJeOBpH6kneP0NPi+7vMtDLybEwza3vUzQGQyYXWjy8l2adZN96l7IMFXMrSQoLXjZLo9GK+KpfTVedf0Et17b5al9CswEN1wZ8CPftcjXnom59/Eme47X2LFesWm6zlSrwUQL6iH4nr3gtYE9RwRZJkhSQZxClGC/Y5QxiDTDSNMfavqRpjeAlQjmepLZLkR6wJ3XLfLm2zt8/+s0adrm7HyTlX6tkCS9gUdvKOkPLbj7A0NvmNEfpkSxYRgbTh85w4f/5MvTUaz/r3d+96u8lZX+77fb3z6Qf9sAbswZYPgj3dmvvbd77t4NUg+p1+pkRpOmmiwDYyQgEEI5cINSomAuXxl8pal7gvl+nY99Yxtff3qFV169zHvuXObqC3vMTDZYWG7QHYT0B74DtrL3WBAlkiQVpKld6m3tlg0qPQ9qATTqmulWwtYNfVJ6HDiV8PH7axw+0WQyrHPTlR4vv2aFx/Z3uOdbbW65tMaOzX0++g2BEiHtVsJyL0IbUALWt/usdAN0WufNr5zlY19qcPG5Gm+6pU+cLHD/7hmSrMbNV27gTTetcOn2Dl9/qs9zJxo8eyRg27Rkui1ohILAtxehFCCEQRvQ2pCk7mJNDFFiL+RhDIMYukPBUiRY7ILwhlx32TLv+Y5lXnllxky7xvJKk+Vund4goDfIV4Ic3IJ+JOgPDQMnHwdDzSC2LG6kz8lzXX7rf3xtw7meee/3v/k2c+DYwh9cunPmfw+A//yvfISDnQb/4Oce+KHbrzz5vrdc/8C6ZhCR1CbRJiXNBGnmPG1AIBFCIKVCKoGSGZ4UeFLje5rAMwS+oe4LloaKheUp/vSbTR59vsdt1y7zntctc93FHWayOmka0h/W6A18BpFHnCiSVJJmkkwLtBEIDFIYwkDTqKWEQUzgR5xaiLj7CcnBkwFHTk6hdMjFmwOuuFBxw+UrqHCO3YdabJ1scNVFsGn9Eosrba7ealejrzweEvUlk82Uu24e8oX7E46fbXHZJT5nloe8cNhn+8Yprr1wjoee6/LIC4IoDrj8wmku3x5y+bYuh84scvAUPL63wYHDTRqeIPQkzdBQ862UE4Ax9mJNM4hTiDNBLxKsDAUrCcQ6RZshN166wnu+Y4VXXp2xeTpgGLVZ6NTp9kP6g8ACe6joDxWDoaA/lAwi2zc6iDIGw8w+upVwmMAgFgwzj0PHO/zJJz6/4dZLn3nfHa9opcb8xkcOPNti13X/azOg/0sB/vWvfoo773qQ9/3mDd9/930nfvPM4acnX3v5GbZMtImSmFQr61pogTEghIcQIKRESYGSCk8JPC/D8wS+Lwg8TeAbar6hEWRM1gTdyGdpZYpPPdDmG88O2TjV512v6XD59iHDQY+rLjRs36SIEp8sU2RaYnJwS43vZRw7ZzhyVrA80HzuoQan5qcwsc9UTbFlxmPnJo+LtsJVF6+g5Twf+EKTxcUJbrnc46qLO3z9WYFIfTZMSZqNlH4SII0EI1FeQGcoOLcouNI0eM0NXR5+qs6WdQG3XDXNP/yueT78pS6P72vSG/osLLe4cEudyzb3uXlXl7e/qsvpxUU+91DIQj/k2BmfU6cCfCWQUiIQaGPINCTakKWaqZmEa67sE0UJl2+PeMdrIjZMKKZbIUlS48xcjf4goB/ZVW4wVPYeW9YeRIJhhAVyZIE9dDFMP9L0IwvuQSLoJIJ+Kuh2TtGffXHd3KHrfvPk4suS617+0J/88R99nPf8wLv/7gF8/sjvMXPBXrH7sZe989GnT31wYf5oY2ZDBhJ8Pyb0Y5LAAdwInFJACA8pQUmJpwS+lz9aIAaeIPA1Nd9QTwyN2DBRy5iqC/qxpBs3OXKyya/+yTToFJGm3HBNnws3xaQpaKMxxiZxpBBIJfD8gH3HA/YcrNGsebQCybqGYP2MZMO0x5b1ip2bMy7buUwmFvitT7c5dnySW3b5XH5BxiDt8q3dIZN1n5kJw2QrplG3UkhrSWeoWOwZFjoZnV6dV1y1zBN7+uw9rphs17j5ykl+7M0L/PZn4KmDTXoDw3LX49xim03rGmyYGrJzZsi/eWefdqPDc0dg3wmJ7xuUMgihAWP/30CawgWbMm67OiVLfJI0xJgGw9jn7HzAILIr2jBWhXwbxIJhJBjGlrWj2Gr5KNZO7miGkWEQa8vqsaCfCLqJYCUFsgQhMjyVcejI8ckHX9j0wc8/9Or01w9d8ol/+SsfM//tZ7737w7ATfRfIVAqXhBv29B67iOvu+5grRYM+NozhsxkeH5CEMTUtMIgAIEAp7sNSnl40uC72mhPCQJfEfiSKNaEcUaUGOqJJko0cWxopxAlmiiFOBUME0mUhSRZjb0Hmzy7FzJjsNC22tiXEChb89EK4arN0K7DRFMy1VLMTHpsmIYdmyI2r18mMYv81qcnOHR4gusvUly0TXLxtiW++ULKuYUJbrhQMtXW1IIBoQwxSpBmEmEMaRaz1KtxbsHn+svrvGxXl4eeqrFxStCotbh+l+an3rbAb35G88KpFss9zXJXMbfksW6yyVS7zlR7gnYjYX0zYef1MaGf4nspSmVIYSnCYC+qJFHMznkkqSJJFXGiiBL3GEuiRBLFkmEsiWJhA9RYEMWGKLbHNYrscbYgtwmmgZMl/VjYZFwiGaYpZDEehkNnMu55POZrTx5sXHeV/sjrNiT62PLWT7/9X38s+7P/+tcP8r92gP/Iv/8wr/9nE+q115x8x1tuOvKHuzY9V1MTHls2aup+yKl5weVbYurh0LkmgLEBk5AGKS0reVLheQrfkwS+sCfBF0SBIk4s0JPEEKeZdUXSyj2DNDNkmSbTWL2tKcAtXADrSfB9CD1BLRQ0QkmzoZhoSKYmBBumU3Zu6tNqLvPph2Pu3z3N8nyba3Yodm72uXT7kEws85XHGzR9j/VTilZjyO5D8OJhj6u3G/qR4tpLE6652HD2TMbcUsBg2OANN3V58LkBB04pmnVJGLS5+iLNf/yhBe57YcAX7lvHwoph54aMpY7HZFsx0fRpNXyadUMt1ISBJvQyPGWllpTucBoK6ZdqaeOcVJCktoYnSSRRYp2XOBHEiSGOIUoy4oI0tAV3YizoEyzIE8fcsWAxkawkGhNHCDNk64aYYQKzCxmp7vHgt56pvfstF/zRv333uX9w7fX+J/mFX8vE1L/52w3w9c2arG/pfe/nHlj83c/fe7b23bdPMrsIX3o0ZP8Jxb4jAUde2+Nddw5pNy2ghTAoZX1vT2b4nm8DSl8z9BVBIol9SRQI4kTYk5MokhTiRFoHIS1tvzSzrozWhsw4p8RpIBvAgpICzxMEniAMJLVQ0qwL2g3DZEuzcTpi/VSX1CzziQclH/7SDBtqNa7ZIdix2eeCLZqdm5f49LcMi4s1Lt+kmGpDq5Fw7qhkdikkuBCiRLB+QjI5CQeOGJZWNGfna1x6QY3X3tDl7gdqzLQgDAKUnOTqiwU//qZZfDnL5x+a4sVTNTauJGyYTJloKlp1RaMuqYceYQChD55nLMiFXQULkGMv7ExDlgnSDAd0SDJDnEKSZJYUEk3sHqNEkyRYcKcO3IlgmFjNveJ0dy9J0cMhE+EK737TEu94bZe7bkx4480pX3q0y7lFj++46VRtx8RVH5w/fLWXmfB/YnnmbyfAP/CHnyHN9A/dfd/h/7L/wLn2Srydb72QARnIDLyMLz9a45Hn65xeXOKffk+fyVZKzc/o9DMLcOXjJxrf8wg8ReB7RIkkdsxtGUdYJnKslKaQZJBl1knQ2gZcWpu8h9OB2wJcKeF0vQVILYRGTdOqp0y2UtZPDlg3tczDe2P+6J46+45McsGEz8WbYNumgG0b4bIdK/TTFR7b06aufNZPKSZbMNmKmJpICQIPIezFNYgCFlcSlvuGTi9ldilgx6YWt14+yz2P99l3qk0jTPBVgBATXLxV8QOvm+fGy2b5o3taPPb8JAs9jw3tlMlGSqMmqdcUoS8IfYnvCzwlUQpnH1qUG2wPq9YUQE8z7VY3SwpJqkkzC+40gTg15T2xpb5RaoHdTwTdVLKSGqJBgkn6zDS7/OT3LPFvvr9Lq6GIh3Uu3Cz5p2+zF1d/2GJp7kw7kdO/Jeo3B/t3f+bDu655698+gM8vdFBK/ehv//6n3nvi+MmZ9Q1BPZD064pYGxJtSLXBeCnLccB/+XjAnkMdvvtVPV5zXY+NMzEr3TqDKCSIfQI/IPQ9t2wqkkQRpZIkkcSpXXaT1HnaGc76wzG3RBtKcFv/0TE3eMomTALfUAs09VpKq5Yy1Y7YvG6Fc50+v/M5n688Mc3iUpNL1gt2bBBs3RCwbYPgwi1DvGCZj93vcfhEk10bJVMtyUQzQ8qIU3OG0JNIAcYI4sRj54YVHidjpa9YWjGcW6yza1uNt7+mwye/HnD0XIjvJQjho02TJJXccOESO79vha881eejX5nmyaNNtk4J1jUzmrWMWiAIfUHgS3xP4Cls4CxFUZNhsBeZNlinJbOAL0CeWUlnV0GIc2ZPRQnuFLqppJfAIM7I+hHb1nd49fXLvOXVfd50U0aganSWQ1LtWacqU6SZIkl9osijH52ZmdzYed8lV79DJdHy7/vh5N8egM8tLBME3j/8xOfuf++Dj76wwZOaViDxlaaRCaIMIi2ItCTKJLHy6CQhH/tmjfue63H95V2+73V9vvOWFdZNRPSHNQZxQuL7xKlHlHgkqUeS2IApySRpKkkyQZpKskyQaVFqbS3KGnFjmVsKbNrfJYsCXxMGGfUwpVWPWDfZY5AM+Ppuw8e/OcFjz08yFfhcvdWweVqycSZgy3rJto0xF21d4rmjAz734HomlMf6CUG7KWg3Ejr9jC99q0YrMAhhgTWIPN58W8QXH7U1MZ2eZnbJY9uGFm+9vcdje7vsORDQDFOUFBbkusEwtlr/B17bYdfmWT523wqPvDjJ8aU6m9qCiZqhEWhqnibwwVMCJV2pg7DfOy8/0k6qaV2ucKkDuiUISDJBkrmsaCYYpNb+62UQxZo0jmnWerz1riW+73UrXH9ZxqZpxXDYpNv1STKfdATcijRVxKnNPyzP795w9vjG927aeYeOh8sfCmp/9SD/KwX4/Pwyg0EPX4kf/OJXHvi1T3/uazNLix1qviRTBl9brVfLhNV8WhBpGGaSgQqIfJ+TKyGnH23w6O4+n7y6yzvu7HPXbctMTwTEcUCU+MRJYAGeesVBSzOXsMlKgGvjmFuXNWVCGBdU2myo52kCPyMMEuphTKs+IGPA156S/Mk3Jnn+yAQiCblgyrB50rBuUrF+OmDTOsmW9Qk7Nq1wYq7L732hSRrV2bZNMNnyaDeh3UgQfszKoMlkyyCE9feTVDIdKlKd0k0Cuv2MpRXFqbk6V17U4ie+e5n3/c+QY3NNPJW4C8MjTWsMY8mmmZAbLlnhmot6vHDsFB//Zp17npzkdKdOM1S0Amj6hsAz+Ao8adP5QoxW12nAaHvRZVqQGVySzYI7zhywM8Ewg0FqSNMEncTM1Aa84c5l3nXnCq+8OmWy7pFkDZY7AXHik2YeaeqRZvm5UY6E7GOmBcOow8E939gwjP1f27zz5enC3On/0Wg2qNX/6oD+Vwrwbn9Aq9F8y9fve/y3P/OFe9vRoMNEU9ol0LGDr6w+TjWEGdQyqEtoKOhngqEKiVKf2WGNzz/W5P4X+tx8b5d/9j09rtjRZcOkot30iOOAOPVJc5BnyoFbkmmJNhJjrCQwRUAJUtiCLU9pPC8lDFJ8FbMySJhbSfiNT9c4MjvFU3smMTpgpi7YsM6wbkIw01bMTPpsnJFsmknZur7PzOQSX3la8+SLk1yzTTDVkrQaknZD06zHCD8iDD08Zf++MZBlkkHkMRgmpFrQHWi6PcPiis/ZhTYvv6zHrVcu87F7a9QXFZ5MLCCNR5oFxIlkEPmsm6xx48U9brykx+OvPs2xOckf3TPJ7HKDkwshgZI0fUGQyzBpA8+CyHOpgmXy1AgSDam2q+wwhVgbyFJIE6SK2DI14JoLevyzt3e56YqMdt0jTZt0egFxEpCmisQB24K5JB8LbPuYOldnpd+n89zXZwzeb2+/8IalJB587q8Sk39lAN+7bz87t29Sv/vBj17y3PP72r2VZVoNzwYzDtB5+tjPjAO8fT9wrF7PDJEWDDzJwK8RZQELcZ17nmzz8ItDmmHEP3hjh+0zKTu3DHj5VV08oWg1PBAO4FphtK2VNqbC3FjbUQnr5RpSkCkvHJE8sdfj7sdavHC8RZw2aHmK9XXDdNMw1TDWB297TE94zEwKNk2nbFk/YPP6Je5/PuIDd29g86TH+ja0m4p2U9BqpNTDiIf3K4axh9+0oDJGEKeSmqe4bteAR3dP2sKnQcbyis/8csi5+Sl+4k3nODm/wKPPrMeXgEjQQJp6xIlPFEt6A4+pVo3JdpNbd/V59TV9vu+OOfae0HzxsRqP7a2z/3CTVHhEkaKfKJSQrnitGni6nIDRNi7SGl9kTAQxNRJuvb7HhZuHbFuX8J67IuqBpFX3iOM6K72AJPGdv+4Y2xFOmkmS1JJOAfLMFoSlWrjzBWm/y4vPPdienzt3ya2vepc6cexQtn3nxX9zAL5nzx42rF8XPP7EEz9c8/V/iQfLTLaDwrmwADd2GXSedBXwaSZItSHILKvXtSHOBMNMMPR8hplPX9fpdjN+7WNTmDRh4/ohV+4YMjOR8o7XDtixISZJXJofCRXmxulPKTVCCj51X53nDjURnsex0w1OnWtQqysmQsFk09Cuado1aNUFEw1Fu6WYannMTMK6yZSNM0O2blghM8t86sE2g16TS7cZ2g1FqyFp1TWtWorvx3zl0RpRX+JvAOnAlKSSZl3xhpsHPPC0phdJeoOMlb7Hctfj7EKDKy5s8Y5XrvDUCw2OLbZQUgOJ08s+SaaIEpuY6Q09Or2AVr1Bsx5xxbYht1w25MRsh6NnlvH8jGcPe3zymw2EUhbcQo6eRKMBjTGGNM7YuTHlXa8dsK6dcdlOw8YZyFKfKG6RZj5LK94IoJMC1GoM1GLk+SjAhXtP0Tm1jKrr//Lcs0/1N23d+eH9+/fEu3Zd8TcD4KdPnWRxYW7XiZMnf+fZZ5+SjVr+ZUwRnVtd7F5r63RkefSeA73C6mlmaGhBkkGsBXEmibQk1j6Jhrlem28+pzFkfPYxmxbGaHfPs3jOIhO2IlEIiVSKNPGQ2sP3JK0QLlxvaPqaRqhphNAIBc26pFVXtBseEy3JVBtmJlLWT0VsWd8lY4nf+LMaD+3ewMUzMNVw7N2QtOopjXpMszGgXm8QKomSToNj5UCS+AwHgkGU0Y0UvaGmO9C2Za4ZcPLcBK+4MuKn3nmOX/+kx/HlECE0xiTozJCkttl6GPn0BorWwKNZC2jUazTCBrUwoVWPueHSmMBPuOnSlPfc2cdTqUsCaYQwo6LcSTqtbS1+6CsgYBh5LCyVbkiWa+pMVTS2A7UrXkt1GfCnWpKmwp33CsgduSWZTS49+tgTchjL31np9h+MouHzfxXY/H8N8G/e+1km2qp+5OjBtx06cFA0656NwBNN4rKHaWasjNMGT5vCn84KVjejMiZPRLjnqTbuNaQGEi1ItCQ1kkx7JDokc7ZX9VZkKQV4QthMpYJa3VDzDDWVEfoQelALDPXQWpmNuqRR8yzAm4LJlma6nTIzGbFhuseWDQt84G7NR+/ZyPZJxbqWpt1UtBqKZgMa9YxWPeHMgubQmZBaYEsOIK/0Ewxjjws3aTatG7IyDBgMjWNxyXLXo1Wv0WpM8p47Zzl85iwf/NxWPOlh0GQ6I9WGJPWIYsUgVgwiSb8maQw96qFPPczodG2MEfgZvpfh+xmetI0SUtp0vnB3W7piyyQsyAUd7aostYtrXHyT6ZKhM10Bd8HWOZilW7HHwW2D2CLRlEGS2GKuJ558Rlx4Yfdt23fsPPTxP/3U4N3v+p5vL8C3bDTBSvf0z0T9sz/jiaFs1u1OBEoKvMyQppbJM2UqbG3wC9Aa51W7DNuIpIHMUEodl2bPtKt7NqCNKAKlquYGXCbPBlae1HgSV0cOvhL4nrG+sSeohZJaIKmHinpN0apLWg3DRDNjspUy3Y5YN9Vnx8YFHtsf8bH7tjBVC9nY0rQbwoK7LmnWNM1aSqsR8dg+eHZvg0vWG6d7y7T5IFLcdJnh0h0DHn9+kn5kGAwzegPPgdynUatTr03y7lct8uz+WR7dswmMQuvMHsfUkCamqCcZRB6NoaFeU9QCTRj4hEFG6Gk8L8P3NJ7SLktss8ZSGBCGSnlbJTgX7vgKl+qXpf2a5c9lKTW0QOdgdhIkZ+oS4BQgTzNsFtWVVMSJYdjtSXP01C9EuhbU6q1fBuJvG8CjYV8myeCXnnr4j/7VsHc6aNQCZOyAJW1mUUmBygyZ1qjMoLMS6Jk2+E665ODWunydg77IvBmDdpm4PFlhXMFUfqtCPE9V5wkdJV3GUoHv2UaBwGX/wkBRCxX1UNCoC1p1Q7uRMdFMmWxFzEwM2LJ+iUf3DfilP9zI8ZOTXLROM9mAdl3RrCuaNWjWMuq1hMAf0hkalFT4yiBl+clydkvSgHY9oZ+6ctPI0B9mdPuSTl3R6IbUwhYXbEr4jz/c4Rc/IvnWno0YFNpotzqmxKkmThTDWDEIJfVIUQskYWAIA0XoaXzf+v2ecmUQytX5OJkihFnVoKtdHKONwDjXwzY6i6K2xZ43y9RZUe9CmYvIcGAfBXbhuad2mFKSauLEdlftP3QySEXz3/4f//yNfq/f//fNRuMvnc7/SwO8318hzZJf3v/Cg/9i7tyJWuALtNEgpOuhtEmGVJVLk+f0uKe1lSXaOJfFjIA77xbXzqPNkxHlAcexTCG3K/yTp+BLeZLXmihl7TLPtaL5niQMJIGvqIV2JEM9NDRrmlYjo91ImGjFTLcHbFm/zKN7+/zih9ex7/g0O6etw9KqS5oNadm7bmjUMhq1hCSL+eN7W0il8KVBidIm1EY43erzA69f4qtPxnTjkL4DeG+g6PYUndCjFoSEfpvLtqf8px9Z4Oc/LHjk+Y1oI8m0TasnqS00i2JNVLPlrmEoqPmCMLCZzcAzRcbWUxrpelulMLZRIgd4mfJ0IHdOiy7Bbs9LCXDt2Lrw07N8pa28LmKuMpmUy1cLcOMArjEoDh8+WvvyV+77l3/vza8Tnc7Kz05MtP/XAry3tB9jzK0LZx6rYyJ8z3MaWCMQrtTV6iuVgZcKMiWKINOmiEsmL0CsjdXTOmdqUxxQY8wouNf4XDnA8xqMPJOnlLCdQJ4o6sp9X9r6jUBQC+3Mk0aY0axbcLebMZPtAesnOzy2t88vfWiaF46tY9uUYKZZkSY1j2bN1q/Uayn1MMb3I04tTOErgZLa2XJlkGkDMsXmKZs8WUlqtjMm0gyGGd2hpN5X1AKfwK/hexNcvi3lP/3DOf7dH8CjL25w+tfGOkmaOSbXRKGmFkuGgSokmO+D71mJZutUDJ7EyRRs5aYoj2F+sxlgMUIo+SiN8rGs0CwAX0hOKlZxbjiUZQFZZutfksz2xSaplaXRIOYr33iivv2CC26V447PXzfATx/+LFJGjbOHPhv4cplaqIhi7QAnrFuRAyuFVApSZb+kV6TRnSxxQNe67CfUpgT8KKjNS4IbypR0XiVoVxLh0ta2nryUJ1DzIQw09ZqhHlr93KgntBsxk80B66Y6PHlgyM///hS7j61ny6RifVMzURe0apJGTdGoC+o1e3HYVH/Mo3sEvWFATeEuMqvB8yaETAuS1KNZU7z8qi6PvdCmn5TtYP2BohsqwkAR+IHTz5NcsV3zKz82y0+/Hx7Zs4FESxKtXbN02YMZBZIw0Ja9XW2K7y5ue8fJlFLGSZflXQvkrn/CyRWKC3U10Mv3Mw26MBNMsVJXH/OqzyTTtvYlNa66UXD01DK//v7PB//oB97U+N0//GL/H/+D7/zrB3h3+TCN9o7J4/s+9ntRFL9KkOIpifacTDISISxjSZFrcMvimRLFUpUvXdoTBVtn2rjUsSn0tTElk+dJiaJbhcrJELagSEiKv52D2wLcsrjvWSYLfGwnUOAKrMKMupMXrXrERGvAVGuFZw5G/PzvT/Hs0Q1smvRY39BM1KFZEzTrikZd0SjYO6MWprQaQ+5/NmC5U2NqqkyT52DJl/QkU2yYUdz5sh73P6FtF02sKyCX1HxJzffwvQDPqyOl5orthvf+2Cw//X7DI/s2kGiPxFUA2rJXy+RhIovqwsCTeJ4rwpIC5eXHhuLz5RdhLlVEXpVGmRAqgV6m+cvirTJeKknLrClHC/vYBct5zX4edGaZLd2NBoNX7d5z5A/+j3/6jn/0qtuOLl9z+QV/vQDvLJ2hu7Lw0wuzx763111EiABP6dF0eJqDW+JlNjXv5cAe0Wf5wajoOneQcrbWazF3+T9FRq7Q3jKvoCt1d14x6ClsfYZn8H3bWFwLNLUgo15LadQSmrWIVmPI9ESHp/ZH/Mz71/HM4Y1smPTZ0MiYaBgHbsfeNUk9tOxfC1MaYUyqI7pxiFASP2fwQoPnWtUViCU+zWBoywXiGlM5yIcZ/cAyeBhIfM/D9/INaA1XX2B43z86x//vdzWP7N1Ioj2iTBBn2rG4oJZoQt8QuN5Vzytb/pRb0ezxcV35+WOlMKu6g0n1+I/GQhU5WbwuS5Sr0jPLqgxeypakcFXKnIiQktm5BfYdOPK9Dzz09KEoTv7dXyuD91eOUW9t2/nctz5wTXf5DFJ4CGmDlhzcpTyQqFSTSnswsyy3C8WYQyLKpa4AdxnBj9eTlFa3KVm7clKK5dZ16BSDgjw3ZsIVIeXVgzU/c7o5oV6LmGr3mWh2eXRPys9+YB1PH97I+gmP9fWMiZqh5cBdr1k7MQd3PcyoBSntZsyeo4b7nmoSSFtBKWV5IUK5fCeZItUer7kh4ZKLehw6Xmd9w3XKuB7I/tCxsKfwPN+28LmmkKt2wq/8+Dz/7v2aB19YzzCp2+rM1NBwNdyhjwW5l69e2kkUiVRZscIpKSoAFxWQV5bJakA/QjwVGelYO+/s14VZUHXKqOQ+yhxIXqqbpva11uB7HsdPnOHebz5xzS/+zI/v3Hvg5LHLL932Vw/wqHcCFUxesHz2gf9WU2feEvtLIDw0AinkSNJASlnYcir3Qp0OzpM7ZQRuKsxdgjo/YPmSOJbDIV86V4FbGKTKbUELBk851vYMgafxfU3oa8IgpRak1MKYRi1ieqLPUrfPA8/Dr/zJJp47uI51DtyTdUOrLmjWROGVW+dFW/YOLMDrYUScZQwHNWrKXmRSVJZ+KBIpNtD0rJb3IqLYMEhEBeCaIMgIfA/fl3hKoaRfABwB114o+JV/tMSv/c+UR/bOcLrTZtiUTGaGVmqnDYTu7hcSzTi7kArASwYvPq/70GvN9zOObYpz5erMja6yOGVcVbV6c0clB3dWLdd1zSo5Pozg5NyAvceW3/LpL30ru+vV1/zL/YdPH9110Za/WoAnwwPopHFL0nv6bcTP0mzW3VIjyaQkldIWM7l7Kq33K6VEO/ciyyq2UkWWGLd8GTMK8PODmwq483EPOXsbJ09cL6cbEOR5+RyVvDzWgjsMHLine8wtDXjvHzf43LfWM9+bYv2EZH3NgbtmdXfDBZb1UNIIjWNwq71rYQzEfOOZgKUkYCZkpB4bUXEijD0eceLRDj1ee32fR/fFdJOQiUS7SVGaILK16oFnAe4pg5I+QtoEDQYu3y759X+2whcfHfDLH9rIyfkpBpMek4GglWoaKYSJHb0cKDvQyM8DTSmKIDh/rAbq1QtzRK4ULD7aRDEuLcdBnplq4FmxDh3As8xVNDr/PNWCRAu++ughpjZtelut3frjzsrg6F8pg2fJCtJrXRotfemfe8mDtJsJUVKpRUgVUkqkVA7YLokg7fBKK0skmXJ2UiZG/NTSesoDyTJSZxzgI0GQLX8VFRdAutpna4NZYHtKl2Mm/IzAT6kFCWGQ0KoP8Lw+9z+b8QdfanP3QxuIdZsNbcG6mpUl1gLMfXLl7sIxd5W9Ezwv4uEXJ+nHHpsbxmUMxxk8v8glSaqo+YpbrxiQagvwQSIYFg2+duSa7+UWp3JAtNlHqxwE6yYF33tHj1Z4mg99acADL85wNqnTr0naqaHpGQtyz8Uhyri4xDiQO2IQwsUx+SChksXXArh9MKM2Yg70qvQ0YwxuShsxK8BcAjvOrMUcaUE/k3Q1fOLe3dxy3cX//Mff8cqnv3ulf2DyLzAS7s8F+PN7TvDvf+ceJlozWxZm97z6qnVn+Z7X+HieIYp9ktRHCW0nTzlQp1KhpCGTmlRKMiPQmbGPFQY37nUeeJkxFoe8PmIE3za1XMgS4wBuyjET0rjxbrpgbl/ZWozQTwiChJof02gMCYI+f3KPx6/+jw0cmpvGD2tsagmmw4x2aGiG0HQd9vXQZjtrLiFk61cytxJYeTK/ktGLAwKlCKQpAsz8a+RWmzZ5468kTn3q/pBNkwOW+y0GiXDj1mys4PuZs/mUszuVa86uBq628vEtr+xx05Vz/MofDfnoV9azmDbphz5NX9L2bA1O6EGgKJohvDzp41Y+WUiVMgHkbPxVcqWaaMslZZ4cKp0WUzospuKNVxoscgZPMsvYcSYYZNDLBFGqQQ95zZVHeNWlE69mOLcljBYODLvHqLV2/r8DeJZl/MvvveOCrzyy9wP/9f3HuXlnm1ddv8z2ddbCs7rbc4kCQ+oOfi5blHKJHalth02R8i1PtMlbyvJHgy13Hfssgjyt7NhbVsDt0s72ItMV5s4cyFMCz0qSMIgI/QFHz6V88ItNPvPgDIfPTdFu+EzXYCrMaIXGpd5zcEsHblkkhWpOe4eBvXDazYhPP+xx4FidmhI2Y5g7KJQoL1csq8OT1OPynfBdN3X5gy/P0Gt4tBPDMDGEsYsblMbzpJvNSAXkfgVtdlXYsU7ys3+/zzUXnuT9d09z+OwEi2mdvu/RVIKGA3ogjb1wnMukKiQhR+IaRjT5WrfSBDCr4ig9fq8mgkyuvS2DJ1oQuQ6ibiZIdIYZDLl40xI//t1LbG09zUrnlR8I2ne8UadLf65UeUmAG9MFmjz17EPb9h947uLZhQ5f77b54sM9fvJtA2phHoyU4x5kZsiE1eVKuio0LciURBtdGc1WyhQQFc0tzqu5gfLvFY9VSZSPV87ZO8P3Utu546WEYUTgRXSzmN/5RMCHvriJUwuTaFVnekIxHRgmAk3DMXejSN9LV6fipInzzgtwBzZ7GSUxB06G9OKQqdC5OLmrlLsS+fc0lZqUxKPd9LhwW4wKh3TjFoNAUHczSAInr3wnUbzc9RDqPMGrYv1En594S5+3veYsH/riCh/81AzzgyYDr0bNUzQ8QV0ZwtRYNpdWqng5k4syjV8AHDPqrIzjZQTo+agKxqSo0+Emrx7NGVyQGNsi188EAw1plkE6BN3ju25f4o5rNVm6wMGjT12cBo1tN19369F9xzWX7Th/pvMlAX7y3Bz1ery+VpefOH3q6z60GUY+X3i4yRtvH3LRxsgN6zEF8DKpLXtnagTgo+xdAjyXJVVwr5YluedtKgA3hUQpwa1Ryo2b8OzYsMBPqAUxgR/TGcY8/JzkT+5p86kHZxhmLYIgYCYQTAaaZmBohIZGUIK7FkrCUBI6aWITQ86ZcAAPfJv5PHLG8MCTDeLEJ2yaVQFmfitZzFboxYnC9z3uvKnLx77WY9/JJoOanfcS+YYgxY7OiDVK2TmNVkbIcrgPpdTLtCTVkkbosXFywP/v3X2u2BHx0XtaPLFngrlBk6EK8H2PmieoSwils1Fze1Uam08YZ3F3Hgq5UiEjU/kcIyBfdRcj7J1pQWxsD+hQW3BrnUEWQTxk15Y+3337gEYgyJTm4Sfu82+5/VWfmF1YfllAZ+4vzeAbJzbI+x7ff8vvffyRia8/NolqBGSR4JHnmzz4TJeL3jgg8GXJrG4yqz3wGq1VBeAVUBctZVXNnWfMVlNEzhy27SwHui7KPe1wfIOnMgtwlRVyxPMSOr2Eh54X/OGX29zz1ASLnRayXqNVV0z6hnagafiGRmCoBzjWtsxdDyW1QFELBLUAV6GnHbg1oW/1t/Ii9p+EU52aTaw4fTuaOClBYJktLy2VxLHHxrbg0u0Ddh9P6Se+HdOQQBDjRkVnTqLkiRoYr9MoUufOhkwyWx/+rjsH3HXzEl9/ustHvtLmiT1tFroNOjKgF3gEShBIQSixPZzS4AlTFKvlFqwN7P88+7Bk8+qFV2hwA5lxTc6uDzRyDeiJsS1zZDGkEZKIV1zf49arNMO4zmBY467rE2r+FyZUIm+ZmXrZl3mJ4UEvCfADR06HodK/2zt3urk+CBFGskDIcqfGn3ylxe3XDbl0U1yMXBNCIzPP+uBaobUmqwBauymuOdDzDpKRq74AdQXgRaBT9dpzYGv3mKFkRpC7GTJhrpty/5MeX3qoxecemGB2pYmo1fBbPm0PJnzbyVP3cbID6oFwd+lKTp3uDgRhzt45wL2UIEipBTHGJHzjqZBjZ+qsmxb4Uhdlw3IcDC7uyAGeZYpB5LNzo+DO6/t85lsxvcRnkAhqviFILYtHiamsUqrwqxFyRKbYuywaFWzW1KMeRrzrjgHfcdMCn32wyxcfanD/cy1mOw0GImAQeHi+whMCXwp8KfGFcVLLIBFOcpWB53lBTilRiipE9zpzTSuZgcRYaZJo0FqDyUAnoGNIE3ZtGfL37+oz0VIsLtbo9Fr0BnXOLHSbFzW93804eQUw+EsBfN++vXS7fSaCPjumIVswLEeCrCb4xjMBew76XL4lwvMSe0VnGik0UiuMztzYBlkAu5wcK1zPpCgAvuroiIpjUgG3FNo1D2uEA7jnZQReQq2WMIgy9p2Co6cVH793gi8/0WZ2qQl+Da/t01CSlm9oeZq6b6j7UPMtuGu+nUloy0xl5S7cvxsHcl2APPBte9qh05rdR0LwfbfMm0qKfjQtmLNb7qRkri8xSnyuvjDiym099p5qMKgJGqkgTAyRwll72rF37qbkFmSpVQqf3VmRWis3fcBnGPvU6xE/9IaIN798ma8+2eNPv9bg6Okae081iJdD0tBj6HlIZeMohft7WG2ucnlIHkCvDpoKuzdfVRCOuZ00wbkprt7I+sIpaHc3CZiEKy6Jee11CfGwhtaKwbDGmbk2Z+YNWXiIIHxpq/C8AJ+bPS2iaPjPP//ZT6y7eHudxnzKsZWELIqgn9g5gKkEqVEqAQxSeGitUavAPcrclq3zYHK0+71gbYyzA6vyxAJcCsvYYWgnqaZZxtkFuPebHgdP1rn/sTqnluocOt2EMEQ1PGqeoukZmp62LoJvCD07OD70cSDO79LdlQM4TnM7cPsZoW/Z215YMUfmYM/RBr4ctQdHteuYV1w0EORzQ3yu3Dng0g19nj+c0k99Wokg8iBwMwFVBeBSCoSUI0wOo75zIYMqfZRJ5hP5Ae16zA+8PuKV16xwammFbzwecPhEyFefanB6oUY28NHSIwkUSOWCZVuZJcmTbOXjmiCvXMwW7HmhnKvJMJm76/J5AfLMJrlaGpMkZKZPPDvBkdMBp2Ylp5b2rXv3u9/9z0+cPPW+7du2rmlNnBfgxw89gM6y752onWtefoHm2l0pd95+lvuf7bL3iOTELNRqBuELFBopEttKlSmMVG4uiUAbVVk2q+AuQsdVuiSfQ1Wydj4t1S7PfpiRZIbDJwS7DyvufazB80cCXjxSZyUKieIQ/ADV9gmVoKGg4WnqFR849PI6jbxs1taFh06WBIEiCKS7AEypvX130H2r82tBgtEx5xYlkQnxPEkgDV6eKBnT4FCCPDNlv2Pm/HCBx/rpGKmG9BKfvies05GUBWOe0iMZSJmb1AD5sCNKaZjlZQGud9LPVDF+oh8FbJqK2bEx4YaLIgbxgH9wpMPzRwPufbTG7iM1Dh8PSVIPEyoyqcC5ZOUXk+MnsBiPV1pilUxQDm50CWycOW5c/6LOINEMIsH+Iz4nZyXPHxbc87iPjFJCaUCcaU7e+63vVUq97/8Rgz/99P9E6BXlpwfFzk3LNonQjNiyfsjrb+nQJ+XAUZ9vPBYSp/AdN0ZgDEGgqTeygrGFFmSJZXKcNFnF3pUWkhzy0mUgcdZjEtu9MoWAoycl//OekH6ieObFGgdPhMz3AqIsAC8A5aPaikAK6goaylBT2HFmyhUeKcvagS9s0qMKbl8SOFkSBhAGONfEpsztlNvUZUQT6rWY2aWMex9p0emGTE3Y7VXykoEcB6vYLU+CFFpcEkWKdTOKu14+5KtPDDjeaTLwpZUpHvipwU9yz9p57DKzdiHVWSey+BvaeJW/YYEeZIrMU6S+Isk8ksS3Vqqf0AwSXnl1yq1XRLz11UP2n5A8u8dnECs+em+DI2d9EJL+wCOLpSvflBivchULMQbwaqXcKMhFahDabUJgDPWmTcgJY/iOmyNuuDzlJ//zJIeOBnR0k65ucMGkYbqmMWgGDx8U3/36nepzX/nT9C1veNdfDOBxKoDG77TV4Wu3bojItG8Hq8uUyaZg82TGs/sC/vQLdT7wZw02rrfNDtfvSnjX64ZFpdj6Sc11VyU0a7YIp2TrtZe03CXp9AXPPuexsCKp1ySP7fH5woM1holimCjOnA3QwiMxPlr44HmI0MOTkkAJatJQc8AOlSFUxtaAe87z9UrmDvK+zALcyvVoioK9A18TBHmBVlawdxAkKBXzzacVn/lWCxV41m4b0d/nZ/DcC8+y3PFQDIc+b75twOceXuGj35igl9ZoOh3u5zo8yTOOpugWEiK/kvJjKyvyoAJw1wWfepbJfU+Reh5emlmgqwyl7CD96XrKbZelvPyyBCMi3nFHn2Fi9/z5/IMhj+8JqIeC+RXFs88HrPSlU0ljvuiIl2hBboztX73uuoR1k5ltfMkM73pdxHW7EowxbF6vWUwkjz3jc+iEDxMesmY40xcsR4oozciac9du33LZ7wjMT/yFGNyki6Cm2r/1kT++7PKpvrr50j7aBEiZEQZDVJBy+JjHR7/Y4PCCT2YEcytWZO4/WuML32jZL5DBxFTGLdcmtOr2w5+/D8cdFOc6LPcUT+wOWOlIpKeItCIydu9MhIedC+yBtDUwvpQWzNIQSk0gLRACBYEqZ/RZkJdjkn3PNgLkjcdVcFuGd2W1fs7gWeWeEnoJxsScmg+IoxrhhCRwaW/lqvJGsph5Rw9QzQPkzJppRZz4TLUU29fFBGLIIA0ZpIK6Z4dg5jUkeUJLyWp5qyz+lv0beXCvK0PwtSt6q4x/SDOXN1A2QaZS2wKXWMvVkxlSpWxbp92Koblix5DYDJCeptMRPLHbY7lvq0irzZ1rhZ8Cq0KaNcOt18ZMTGmrUgw0PLvTBi5rPWUyvv87+zxzMODIOR/tDekAK0Ihs4TNUx21a+vyZVM7fqx9dqG7smmm9dIAHw7mEWL5fd9z8wt3BLqD74OSCb6XkImUF44L3vsHE3zya020cHWpLrhJgY4RxYdbWTKc+Wb1W64B8EI/iuK5EQKdb7mAtIAW0gY60g6l8YTAF46hpUs7O2AXj6ry6LlOeoXbeo8C3Laty26JEgaCwKMoMbUM7ljc0wQuO+r7CWGYcGJe80dfbYIX4EtRBpiFPFmjtrriE+dDQi3Y7GCdOPF5z10DPnv/gBfPtehlPo3UbkprqwBN2Ymj8pxAJdjLj2lRoy0rBV75XRe1MJ6n8DMLZt8BXckyaaZUhpT2uRTaxUMZntAIo1nf0HznK7QdviRMcf5xRsHap95+PqEFOvXKCyJ1cyIECDRSZbzzdQNSLXjvH8CB04YoSTCej5aCLz2u+Ne/2bnjvf/y5PviNPsnfy6Dnz36ZRAyMINZJtqKen1ImqQcOgP3PFbjQ3e32H24hpaOSZF5n9iay1L2UoxNRbPh2nHGHoXbNSxvYvYF+MIUUsCT9rUdLpk31VYKiTwqc1By1i676kuAy0K2hIEpWtqCQFcG56T4jr0DL0HKmGNnBXMrNYTnEUpG5IkUo4elkqkfaeqo6uM0U8Spz0w7YuemAXvPRgwyj2EGYSbwM4OfOh2e5kVmuiJ/VeVqEkXixbpaZQN3KY00XqbJlMDz7N/3XFbYypVqrsENDCr+pi6fx3okT1H89ZFxFC+1go/znvtd2q4u3/OaIZfvTPmDu4fc+2iDo2drRMOQ1Kuz79ACv/8n9wSZXv37VwF8pv4UIPAbJzk9N2T2tOabj9f43AMNHnyujta+LUXzFAjHrAUgywN7XlCL6r+XAC/KMt3zHCCeAN95rzbpYB0KL8+2VR7VGMjzERGech+50nBswS3tY5ADPQ8+Hbjz7h9PFxLF96w+DYKElIQvPlzn3Fwdf0IR5NJEmlEHZfyIjJSWirEgUDGM7ATbN93e4+HnhqykNfqeRz3VxG6FyguiRrKMQlN2DuWBZjlqw1qHyrK3dj2yWuBpQarsWA8vr8JU2laFVgGuHHvnrpYDeJFZLsBdllQUuekq0IVZCxnFwRGOvYU0COzn9VTGjZel3LBrmQd39/nsA3Xue6zB2U7M8ROSzz98aGT3jjUB/mt/+DXe/2DrFWrwsZsCc5yvP9bi0ImA3cdqxJGrsZQ5sPO7s4lG2rHFKpiXS2d5wvP/RFWSBhLKFLEoC5aUe89zM0bKjp0c7BSjEKrALuagKGw/4loAzwPOXHd7uSwxTm+P1pIHfkLgx5ztaJ46WAcvwHPyJE/PFwzO6sXNukllE3XJqrLwxJPE5/pLImYmB3SWGvRTRUOBn9rvojJj70kV4DabXPypfIR0dVqVNo7NBVppMi3wXTFcpiyTp0o6K1JXtL4uglopK8wtTQHsAuA5+xbFWWUuo+S5KhirRVyV76FNkf/QmSZJbTzwymtTbrmsxwt3DThwrMM3n+hy7dXhTf/kB978im7n0w+1N71tbYAPooQw7H7nx++Zue7x5zbbICUFQgkNWQG0Kugp131SjAK3cEdFzidlgX7+s9VHxSgwpAN1+Tx3Dig8ZuXA7hUtaiWwi+dF90oJ7Lz51rK309wehd7OLUHL2CW4/aI6MUGQcPeDIQ8/30KGHoEUdv52UUFYlpuWKe3xbOZao9EUmVYMhj4vv2rAd72yywfvbhFnIb1MUssMUVq5qEVFpsh8okH1T52PyUF7shy45MCdKYlS2jK6K3fOa31UYX/qom1OupIEuyueLuqRcgYflStUAF8CvPi3CtPn38NeJJrMfcdUGKIkw1Oal12kuWYnvP7GDvjxdd1O9zuNjh9ak8FfOHCKdVPNu37jj77+9w+dXEZ7EwWe84+Yg1e6TJYFZjn/Lw+gq8AtD7Mpl+vKoyx+p6k8p6h5yJfhHNTVemWlKNjcyzvoc/augN1z3TD5Pps5uO04hTHmdj2bgWtv87284SCt3BNiEv70G20yE6KK7GU1wCz7GnNnY0SD5yxeTImSdq5flgebHgKfd722zx9/MWJZJwyyGoNM4KcULC6lcVMMjJsYK0GM1x7JijUpGKnL9lzHu3Ig9wxKC7zMMrrKbBOLBbVE5iPfZClLilLpESavArwyb6VSejHC5jmYiwuhWqJR1fcg0cQC+sPyG2bDBVS98/dbm956X9Q/9tWwsXMU4HGc0B/Glwy7vYvj3grrGkFR9aUd5VgQmwKM1WVYFh+QNYGcm1drglxU/vsRXVm9j5af5oxdNDcX06tKkCs1NuzGAdtuJCsq81Esc/t+3phsHHOXAaZXYe/Qj3nqoOTA6RpG+SgpCaTGG1t1ZEWAj7sojGjwsgEiT/pkbsOmi7ckXHlRj2/tr5OogEEqqEm7iYCXCifdXBdO6sCAtBp2VARUWFxUpFE5mSofyOQpTaYs0JUwTqZIezFl1cGdsgR3RapUwS0qerwEbFWWrJYxdgUarUFi5PfYi6BaWJYmEbIxuNhkw0t0lnx1FYOfPrdItzdg2B/QDuxJz1wPXZ5jFMWhGl165RpA5nwgH3mstp4xwuD5XEEhyoxgOWfQ9g7KKshdp0vB5JUxbZ6SIwCvDv+x3fYUwC6ylQVzZwSeTezYrqAEQ8Inv9FgYaGOCD3ru1dWllU1KOVaPGIR5iMyqnXchTetFUnisW5a8s47uzx1sE2U1eirgHpmtXgeqyiJA3e+VmjnieeFuU6qjOnxYqJBZYxHPkxTaYPnVgily2ZyWfRvjjJ30V1VZdqKq5KHZgVA8xVerKHTR7BhRv6bSjqhrG9yQ6RqcUQynCPLyuLCAuC/9+HPoZRkdn6Z6YZE4wa3uBLHakyQLy/VWXYjwF0DxNWfk+M/OyZV1mTxohG2nMYkx9i7OkHWsrhEeaMADzw3AMjPtw50GU7P4BepeO2eZyN3T9nOnRePwSfuaRHJACWVsyxHZ7KMZzDHfaWRktIRHe60eKZIM48w83jn64f84Zf7PHe4TqJ8+lISZNq5RwKZVY+ZQUhRsJ69afe3RvctGumy0eAVxVlujru0JQEqM8WwzurYZVk4OfolAF4BaaVwjuL8V1yW8dcVDFVxVyyCDuCZG2QanT3I4uK8TftXAb6ydI7W5IbGL7/v/77wkSfmiIJ8H8t8y2szamGOBZQjV1wF7OVVeh7wj+nu/CSNvM41f4XBR1hcjQFcjc4hVDmDuyTPCLjz9L2fNyZrOzOkaBHLezpTd09QfsyBUx7dOABlywP8qv4Wa33PUYSPDjQa88J1dci81eJNX3DZ1iHPHYjJdMhAB9QyW7PtOQ2uhJ2xbRNLuSWnKQuhdHHyigynq4fxisGm9j3lGN0eT7s7hSxYXBTsXQJcVPR3vuqOAn4E0OMMnYO3yuAjmKokjiogtMfNdi/FkWQQ+wSt7Rfe/oYfbxw68q/6F1+4zgL8hQMnaTYXXr9587qfTpPd+J6wqVNh0HJ0bIOoPlYZSpSHchzU+XvjhfIjLsMIoG1wNjoYMpcp1aGabuxYAfCy2yVn7eouxr7CuioO3BbA5VAgvypPquytXF9nELPY1fz3P2uxMKghQlv7HeQ+fBEjiBGQn+9WdLxoNyZjRINbRyVNPdoNj598e5evP9VmIQqIpcdASgLXQ5m7S2XXjagARZNnmg3agVtjkGPOinAMbkGstQvitTvGyhSu1WqAm3L1qIB8nNGrGrr6GlGaEDlTn0+2jDhR7oJMnaQbDCMmN0389Nnjzz9EOvhsweCfvvc5wlrA/n1HmF1OqYWB1cAS1HmST1Vgr2bztcG86nkuTUZYuzKyoCpTZDlvcFSq5Cw+DnBrc3lOkngFwHPNrYug0vd0AW7f9XKWHfkW3L5KCIKYj3/D54VDdZA+UkrCvDRWVNwkUenDFKPz/VaBuxpsVtrNcmZKMo809bn64j5veeUKf/jlGtoLGciAUIoi6aOkIBH5COTVTC6qTF7poqrWxGgFythVQRthwZ1bsBqy6vwUmTs3VLS4Y3I5Kk+qgB/V1qxmcao/W2V2x+BjwXr+HZSEdqNH23+BIOsgdVxKFE/VCVSINiGDBDzf/h5VASyVP1BlZrHG69z/Hgdz+VoUX7bKdlV5UmVxJbBjxXLmfkmAyxLgRaInB7ixc7KdFPFV6Zb4leFApea27O17dmrVUkfz+W+2mO+EUHPuiSgDsPNJFMYbAirVo6tsu9wyzPfEyez2fFNtxXff0edzDw9Z6IXEymOQSWdPCufeiJEYRlT/mGPv/C1dsHk+3kHg5c6Kcs+ley0hc0DXboXK8oDTaf6CzUXemJJP+z0fwKsgL2O6tUBe6HH3vFr6kJO6Unb2TS0M8b1JJJEF+OmTL7J549QFn//qEz/14IOnkdLDmOqJMqMArjL1uNZeg7Et0CvjwEbYXFQCMjGiw0fYvDJSLB+JXJ39Xe1wscPdGQV3vrNBztyqwtyrGDwfN1GOnPCUzVweOSrYf6yGJkRIr2jOLasHRy/O0tUoD2C1FqVk8tINGNkWJG83yzwwHpfvjLl485CFvXVMFlgWz5znL0bnmYhcqhQy0gnuvIwWXLOBqASfoGXZIFzOLnS6XFoWlxU3JRM5uMtHURlKJHXJ7uN4EsKs+V4uWUbUQEW+jOLMFMklz1OcPD3LfHLDT01vuuuZPfsPHPWGSUyn29+UmOFdJ2fPIcREUWNQDfRWgXeVJKn8jBBry5P8tWMXOQ7s/L8d0d72tdXeDuQVQFsGx40Crvrg1bvb0lpVwV0Buduv3leOtR17K/fa8xKUSvjit1ocmK9DUMoTvxL8jn/P8XERa8kUvSrgLDd70hUtHsceF62LedPL+zz+YgO03S57ICV+5oZ8ZqNSyQJDVLRrbhtKN6BHlMFm/ly659KtKjK/C8vi2hSrpx53jnS+gohCm4vKqrI6yHwp0FcDzlFHJcdd8bekQRiNpyRR/wQ1undJOpuk6B/1TswG9JOAw6drzHV8Nk+OZeRy4OWyYwzkVMF8HuDnoC76+MZAIFzWr5iHJ/LXogB5lbFzoCvlQF5IlDFwu2rCosJwHNheOSCoGPHmaQfy1MoTlVBvxHxrn+Kz32wyGAbQ8PCkwBej0mQ8wBy/+EfRvYb+HrMMq754knpMtDze+pohX364z2P7AkzTZ5CFtsKyqNkRq9ixBHcJ8qL0yWCDzvwCU5bNM2n1eA7wrGBxey6y3FEZl5b56mvbdStN16ZCaJUYwa3kZXKnxMJosmdMroi8RMEU3WFRItkwIdiyydCe0aSJxjNpRpqkBEIzUxfUfV16zGI1K40DVJwH/KWmWuPni7uoHJzyi5WsPgZsdzEU7K2EmwNegjt/9D1TbBvoeeUIZc/LK+ZGge4XbG3vyjknQRCTxBlffqTBi8cb4PsIqQgExeZS1eBSyLHjxejqV8qSvEkvHztc8cJNPihJFp54lnnEsccVO1LecHuPZ4/WidKATPoMtCLIGPssuRfOGIPbx7yM1qhxT16jlUDl82qkwCiQ+cWoy/yDdgGm1KJ0UbQYkZnFMSnwQAXc+TnP5UgZGIvKhWElrinfc3VLWls5pFw9jTaCJGkyPfSpp4YkEXif/dwX8D3F/OIKm6bUaLC4BkDX8rVH5Issr8jVzO7ePw+oRwBeaajNtbdwr4uhN1XWHgF4OTm1ALYDup3xZwqm9orH8rnvgktPJYRBzPPHBF99uEF/EEDTRwoxYg3m015XZTFX0Xf5PAcYzoNeq3y2nGuiim6fVivmDbdFfO7+Ic8eDsELiLRkmDlHRdvtYgr3olhRLaDIqmAfXU08RSldpGXzfFWRjsmVtGDPgZ574FU5KQUIXR6HtXIbVKSvLIBcXpilDLGftZS9Y7JHC7Q0iMxAKsmyFt3dz+MFxzE6xYv6i6RSQhrTqttdaqvbkaztgqzliKwlTcTq37EGqAVlEFnKFTHyno3Yxz1wigKrPMvm5QVX0gI6nxG+Ctzu7lfqn609mNq769pJTcbdD9V54Pk61GybXJDLEzEaXOaMXdzFKAmM3irsXWljy3cjzx2VTMsRoEdDn1df3edNr+jzwrEaaepjhGIgPPyM8jNlFbBk+aW1NpOXf9+glLMMpWVz+1ogtbA6vOr3GytDlBQFoMtd2ypyTY9e9FIYXnJlX2OlL92XKvu7v+UGTxkDUSwYLA/JjG3I8DxPuQBNFkVMhrX+yBgLVxl8HPDnY+6xFWGUufOlTZQMLsrNpKSqZDSr2cyCuUtw57s6eOPgVqYAtF8Bde6cWMfEPiqVEPgJzxyVfOIbLSAA6SOEsi1xuTUoRoPx6nfMYZXXE1JNVJhRR2Vk/8n8ntnWPTuFVhXpe2M83vXaAfc+MuSJQ3aSQKIV/Uy4gi/3WTJTLOmFVKrQdl7RiGIM6Db/YS9AC2wlJapiZyrlNLYs2VwIq9st6Cp25YjsHHV3RoLh85AogjUwYwpJUwTzldp6bQTCSLxj52wpYuY2E/U8sbqeeQ0mzpeWUfdkDZC/JMDF6Jd3EmRUolSSPLm2q8oR4RpwR0BumduXo5p7hLWLxzyxU2pwpVJ8PyXJUu57rM7ug3XwfZA2uAyKcWaV4Kr4/Gtr8HF5YipPitLZSo3ISHVhJtHKOSqZRxT7XHXxkFffYll8kFkWj0TAUNutGguHISuBgAvSSj4vSzDGAW6MNQWMS90babW5NBYfxsmWHOSiCvbqsdCVpI8EOYIlU+KgGseJUovLKsAZJxL7XBcrhp1dMzU1wPdtZ74333HGubZ9Db5XyRwWV2BlWagGACNXW3XJMSDEyAUgq9p8DZDnGruQJwXIK2l6WQF4paOnALfMJz9RYfAKuFUJ7kJ3u1l/I/JE2arBA2cEH/lyiyjxoeE7eULRmqZEZZdgMco25bI2gu1R3VsB+sigyuquwmYtLe7RDCU/+IY+dz/QZN8pe/FlWtHPlK0yzEQxTxBhEJlj8mxsJcmhXgk4842llLEBphEGaSy4pbT6XDrZIqVA5KXUBbidfKkANge7ELmbZorzfX7pW3VPyoDU/g5R/A4pXfm2snmOmYmERj2zZQe//Vv/dWOz5v1fR48euzz07JZzeTVeYcNJ5zNXHYxqoqWSVaz60yNuh6iM/R3JOkr3d2T5XtUVqWjsQl9Xei6LgHIkkHTMXbyXD8M3hTVYuCdeVmloSNxjTCZj/vALDf74q5MQhqBqKOXRUIa6Mm4cBUWDs19pjSszqdVElKScDMtIgJp/V1nJiOYXrR0mkNdg582/1vfdvinm1Lzkyd0BqbAdV9p1qXhVpqNy0Y2vKqZ8Wrw25U+Nb5W+SrePMb9mdFfk8VWhmBk+Nu1s/L8pNkYocgPurxcEUI7azh0pQU46hvVbb9m0accdX/NOnjw+mcUrb6z7MY2aX2xMlDP3aDGUGNVFI5myimRZJWsqM+xGHJRRiVJc/SM1KNUiJjMiT6Rj7bwQqNiOQ1Ufc+Y2o8Gkl635qJQdkbH/tORjX29g569Y9rbauwSnFIyOF6bCUGNxTPGikCVj4NCjtSHVjQJMntU0Ep0pMuW0eObx7jv7fOa+BntO+iBjjJBEmU/fWWuFDMzyDKCowNUU3Vp5kDkefKpcrlQec3a2QaZN/GhdSpY8nV/IiWqQKUelRik/xrEGWTWtj0DqNfS4zmMzu/eP1h7DJKY+OXzjMD496TVDu7npdNsO0RnROLmOGlk2KA7U6AkcDy5F8f4qu3EssBRiFNSiAuzyuSnBnnf3VALK6paBqiJPCrA75la5RMnnfrig0pOp1d4qJVMpX3ioyZ4DpfYWQhYjK0ppQmmLVdgSMXocRllztOiz2oBczjGpJH102fmutaz441aqXHFJxJtf0ePQx0LizDaCZ0IxFBLfyRRRBLqV506TmwLootBLxghUERMYFKWVKXPQCxeACuEAbwu0CtDJij4eA/towFgeN10hy9UO3Vg59kjgmuPEDkeKY59gDrqRxstngtQCq4HzkyHz56sAO663S31UPKcMNIqLYeTKcz9TAXD1C+dujqj4y6X+NmVgmRfkF5OeLIurEXCXAWWutVUx98MleGRmN0VVGb6fcPiM4v/+dJuh9C17C6/SNZ8Ht5XiomrwXQmYXuo2stFWxQvXlUq/MtCU5dwUZWevZ9ojzXzCLOUfv63Hn93X4NBpD2QKIiMRgoGw26gXn5M8bZ9/QDP6gSpMXrK3/WxSlmxucgAbez4ssAXSGAt4YbuFRnxxAXoMB2sFjSMAr6gFWcVfJdarYiq/RbEgTe2IOm8YZcSJnacR+DZNOypDRq+k6gms/htYQBdXWOUDyVUAX/t5lbELTzWXAlUGr2pVWTooBchdYFnstObYOtfiZUBZ7gjhKau9V2LNBz/X5tRsaOWJ8BBSltagKFea4jmjJ6h0UKpbT70E0AvAVxsPqlst5oN75KqAM009tq2P+LG3dPmVjwR0EjvawxhJpJW1DbP8HDnbsCheKuVIsbYU2tb+i3KXgczZ3AhMDmpjChfFCPsdhLTsLoRAu+BUr3m+S0zoMSm3VtCZrfEeTtaUgb37Rsa2XNZDg+crNz7B9SuWPfTjYB61BFmLxStLS/WDjl+ha70eqWGodNOPMrgZA7gZY/JSohQ7rclKImd8YpOyA0WVtFlLL0z41N0hH/hkm0j7Tp4olJAEgtVNxWuk5cuLu/LmeSBuKk9Kq3C046fY+qWS3SxKaaUikx41L+Un3tFj/7GAD33BanFQZAiGQuIJYxM/ecr7PExeglqUHzCXKrkkMQZlHKgNGOEuSqfJy4RPztpQVhOa1Sy+FlGOAblKqFVcjTyvHGW7wa4gTgVevaZo1OwuYlJJ542Og7n6S0QlMBhl8vzn1vIuX4q9ywNSndZkKjahOT/AK8wtc9aWTnPnG1N55QZV1SrB8tFmLReX4M++3mApcuAWFuDFeDhR2pPnS+6siefK66qjULUHce5C0f2u85Yy6XYJ1mPgzreJ8Ugzj4kg422v6/OZhxosdBXIBIwk0T59UUmyuCBzNNgUJY+bSrq+CCxtYVWZebUaXYuqVHEMLiyba5MfnwqbF9afW0Wq6mAM7GuCdxWDrwa3AeLYMIgM4dDg2XkgdryCUPmnzIMjM/LLV7H3WleUW7L/4gA3I1d8deu6qkSpgnoV0JVxYK7o74rO9mRWyV6W7O2p1D0m+I2Uu79Z47HddbT0KabX5sFlJWtZ3k15gY6z0hizr03iTiJUS2bdXu9lCWv5vAg6jUQVcsU6Kp5OufXqmO+6uc8ffTEAFYMd8kEsPAbCzbIpAs3x1UQ4th4NPEstbpnbyErA6dg7L63Nz2PB5o7BSw2eH5dq5rJMu1MA3ozgbG1FMQrw/LkxEKeQJNpOze0NNP1Io41N9Ixu9imqT1c9Hw8IzqefROWLrSlPBEXnR5XNy15DU3FSRkGe72qs5NrgVhVrUOZbDDr97ckMJe3g90PHJR+5u8XZbmD3u5YeCKthix0b8s/Kao+5YHEYBdBLCPCi8WGVVzw6wyS/m6pMyVk8k2hp29o2NjN+6Lt6PLQ75NA5CUECWqGFJBJ2r52yZmacxcsLLv9wyoHXTgjMtbhjcwNaGueqWFBWgW4qINYi387c/u5qQVVRrz7+vKIKColcaVlbG5elW1OvSRp1ied7ys3os1nMtYA8wjli9fO1dNKovWhWMdtq9q4s+9VmVjEaWMoKyMcliloT3OWEVCUzp7stsKWyQzSjTPN7H2/zwFN129tWDS5FPvyztChHPrtY+4KuBj75Cakey8IWrAC9KKGtOCoFsE21jFZXAk6FzDSp9FCpx6tviPnxd63wS78XEKXSZqC0JBU+A2zBWrnirlFZWF1VsJPLRoJP6djcZaZtcGmPhTG5zh6Vn0Ja7Z6/Z6q4GcPJCGuPvDYjQF4Lk/lFm2WGODFOg4eCyO0LqdSa//0YwlcvD6utHTMK+lXyxKx6vqYGFzaJIytsrsYALmWpu+Ua4M5T8aqoM9GleyJT/CDlG0/4fOaBBlHkQ92z2tuxd1hYg6MrzKgGH8sJVABdDc7H6btMt+QSgVFw67IQq2BvU25cJbVCGe0G9VhHpd5IedurB9zzwIB7n1CgEncSJCke/RFJmYN7FOQGO1SousqYClsbWbK53Z1GOFlSNjUYdz6NEAhjKhJlvOZ77Litwld1MGcJ9jWh6QCXJBnD2DCMNF4QlJNUZQ7wl8B3+Y9mTaCP6PHKlTkCcCjmZpSByGhwKfLAUujS/64yuFiDufPnlRJYC+SsfHQJHSXtlNjlnuHuhxrsO1OzEzid9s7Zu9gjUlQuOouXNTU3I4B+ySNpj6KrCWfcQWE84Bwd0pkHnZmWSKHIsgwpPZLIY9emhO96ZY/H9gR0Ypd+1TEGQSIUw9xeW6N8FtwkBRdUKqDYoVA4l6XC5tqU2woa6YAujJMqrla7WNGr0sSCY7T38qUJ9HzAHjnaQhAnmijOiOMMbxjZ3XTBdsGItX6VWfu3nU/oF6Cuvq6AvcyUjiZLRlm8nKBUNBTIks3Hp54WY34LsJdD2z3P6W3ndytpa080Gf/ji3U+8OkmRrhtURx7K6hYg2Vq/rzyZORkVEB+HvauPo7IlFx/a1PJaI6V0RZZTeesSElmFEprksxHKs1PvLXPwdM+H/iMR5K6+gJhd50eCmk7b8iDzvG+zSpkKswuSjZX7jNJYYEuHfgtUwuXxTQu2LRSZrTfUoCTMyU27N8bd07+vMNYfZH/t4GvCEMPL07thlGetMPfhRgtws9naLw0yM0aJzn/IqP6ezT7twawC3tQjwGdMf1dFiCVQaauBJkV5ha6BHdebxIkHDwr+cx9TXq9wEoTme8HWSZ2ylnla8z9rhyD4iQVJ6PiNJ3n5JixF4bqfawYSZd32/le8cSL1jaJlHamYauZ8tbX9Pnyg3UOnnEZMi0AhRaCCDuiUxQfoGRyk9eiFJ/DZTbzhI4Du8Q40IvCGszPoXHa2zgMFCWtRf5klLlzwI8c05GDtyqCWVWJaYtY88FCLum3aZ0dDZaspChlRxbo3IN1X66qF9fA+Go2X5O9RzurV2nwijTJJUiR9FnlnpTsLWUO6nJr7xzc9v0yW5lLFE+lRInmnkebfP3peilNHHtL4dhbVgPLcujNqNU5mkKm+vwvcKtW5RVAr961LWOtsrgZSf44maIlWih0ptFCkUYer7su5nW39jnxJY9IW5MQkYCGFM9KlZE1uypXKGsJRBl4SmkDzyrQtTA2eM1lS04ExgE9197G/myVsctYzYyQRmEJrs3XlWNnD6BtxLDSKE0yegPBMFZ427dtWV4Ku19Oe/y9/iAhThRpZgt8xjXh+W6rzPgc0BWQUwU21S0+qvPsnPaugFqIysBHt31GMYxdmVHtPbJxUh5c6iKgzPW3DFLufyLgVz88QabdzhXCMbhYOy2/atWpXrxjx2AE3H8RoK+qMMwLsEpJYv3n0Y57KfVIzbiWDuzGDgsKAs3P/HCXfSd97n9coQNHo3nQaRRDh1JhGOnXNO7EGlwg6aZHFR64q03JR0cYUXVSHPBHaozGEjsV0kPkMr8q7cxLHrqqC2UTYZBqQ5QY0sxDeM0vb96ybVn90NsaPZGeOuR7+seTJHPTj8YqAwVFV01RzlppPJB5f2L1vUI3u7oNVdl6RJnyvcrPjaTeVcUCHKkW1JX3xrbZqOwKZhm8lCWeS+h4XsrJRcGvfmSCh55uuj7LAJRtSVPKzt+uSdzObW6mihy9r55NnpcZjw4jUq7da3SWS+nEVLuU8ja98gIvk1yjJQymPBcFSbj53LIiC41h3UxK6Gkee85neVApgXSXpnaDgAq3x5znCh1dos/DqVUAlgSZs60u/i0nTTEaVOdJrcrPr6otz3+mOtvcQJYZkgx6Q0Nsauw/Nv9D9z3y4j5vqt1HSUNXCZY7fsFYKIPQtiPEVER4MYhzDfFftXXyYzR69Y5KlWKuNFDOszMjsqR0VvQIk5dbauQAz1Zr73z7O5exVColCzI+8rkJPvuNJqaWM7f1vXFZy3y3htGsJcXQ/zWTWMX/rbXErVaQ440EuZtS7t1TeV7o4KoXbgo9bqrsrSWZUEityaRCDhRvu2PIi4d7vO/3feIwHdFSBkFcCBX3JXMmF+Xfp0j6ULSsGeniNRdoWrkyGoiLCqvnzF6s9MKMjPkbfRw9kjmeqoNg8+OTzzfPx0AvxILYZW69P3ugSaphqm7YPGFHJufLg+2oNqt+8ZrnUJQfUKwKFsya4K4+igoDlbOnRzW3FMb54hX3pOKWjMgTmYO7lCdSZXz98ZAPf7HJMPNsxlLYjCXCbmIa5DUnlcCy+Nx5sT4U4zHy717V4aPB5hgTroH+XI5Uj3UV5LlEKQqv8tR9PupNCKvBc5BLWy+utUcm7A5xP/ydPR55NuTep+0+pORtGcIGrnEZGhcgN7JSoyIEKg8+HYhVnugRJdCFA3o1Ta8LaWoPTA58oHBRqBw3HGZe6jZCEO56VArqgeCVlyVsWO96jM+ea5NpwaCe4puIRq1kzhGL6CX+3ujVV5llKEZdlBEdS+V1MZ2UAtiiGlyKUeYud/nKKjo8Z/M8mCyDSilTlJfSjwS//AcTHD4VYny3S9wYe/uy3OVt9bzBynepAnsEwqveeEmQm7HnVUdghMnXqDJcK+DUwjkqQiIzG3hmseKiLSn//keWeeTfBnSHEkRaEcl2T/tYi1Emz7dfx4EY4TxyUwSZSlQSPc4WzIE+AvIK0VkVJEbdkiq4GX39UgCn8rOehEZbsmWyxoZ2QJJovCsv3oCQiiTqkiTn7JxoUQZ4fxGAQ3miy2lKY5IE1mDycsOiUWBT0ZSV7evEeSSKNGNOSS5RSs87zeC3P9Xi6b0hRkqX0MnliWXvkYrBcXlSDSzH71S/3zgVjcNZjB7TCqBX16SM16asAexcshiDMWUKX0qbxrfjGzRKa66/POEnv2eF//bxCeLMXcG6lCtaKiJd+eAO5AZXZKVzYNuy29xNyY/NONBzC9iIKh4qYKd6DMUoqF8C4OO2df53EDaOy0ybWE+QmAzvjjvvIqw1OX7keZ5/+osEnsLztCt5NWXhwEuBfOSDVXTVuPaugLzMZFZ35yptwiqYVz8vEzrj1qDMpUkB9BRVz7j30Rof+mSLziCwWzwIx9yoUnuLyuCcwo+v1MhwPmCPArl8uYYuH9Pe+YsRq5BKZw2jzJ4349rBPM5hEbZ1LNMSIYxlb223PNfOPkxTj3Yt4Uff0ePJFwLu+ZaChhPFOR3rHOQVD1yCn4NcON2t80pCig6rXJ8L3AojyoxmkeswY/FL5dhVdwgpCXNtiFc3fM3/pnQXZn+Q8LKXXceNN1zLykoXr16TBKGi1YSpVkK95lhY5AU2eb+gWHVSVgWaVXkywthVqTK+C8D4thejO3aptUBeuY+Cuyyokk57Sz9l7xGP//tPWxxc8F1Gz+3QbKcJ4eXaW7JGSexqcEt38FeBverdivMHnOOHcUSmjDF3ju5R1rYBpgVcPuTGJYKkZfRSizt/XGqyRHPxdMo/eWeXo2c9DpwSGK9ydTotoaUi1hXJJaxxmLO3cRIOifscpqgJl5VAsgwuTVErvipANxW8VLCTg35tgFeOVeVIJhlkqSbOJEJ5GOnh1UKNF2jajYT1030QdVfYY7cQLJfHamPq2DmryBIqgB5l8dGJ/1SBXdHc1ddKlu8paUdxKVVh8THmHqk5EQl+mHK2I/jl32/zmW80MH5ZBmt7LV3WUlQqBoXN0OUsLqD4vAXQGT1ZBdhHvv8YqMflnjkPsCkDu4KxK61s0jHuqP/tWsOM3djVVvQpssw+z7RBZHaTVk9q3nbHgE4k+elfV5xbFhBWpIqkAHnB5MJuJekL+6ls8AlGl4M+lbSvDVVvPAdwJVXPGkCvHDd0lSDXxPeqURSZyXesE3T7gpUBJCnECXhKCaSqnW3Ws69u21y7a2WlR5SEpKlym1Dl+k6sIVHGgO3eq2ruAuRjLD7iokhTYfPqtnRrSJOcvUXFLRHu/QLsKZ6XEaP5wsNNvvZ4A1MkcrzKXaIcuMfZu8rWYuy9EbdkzUBzbbZe+2yxmjRM5SJwvq/M61Nk5XU1je+YPJ8hqLVAOzdFYNDSoI0hSxXK07z+5iFvfkWfP/6SJE6FLboxTiDbwhI0lsmNY2qkWzkqVYR5rVAuW2yLhfs1slz5tLsQCrKjcizHgW4qh2+NY1j1w7WBVAuSFFaGhnprHcNMfbXZCM8urwxQ//lX/jtvefMly7PL2bI2K9/f9E6AqJHlxmaFgEYmllYDQVGtBBzbmKio6a7Ub+f/rsYqBPOqQVVuG10WU1UclCq4nSyReZ2JS8VnMuNzD9T5P98/wZGzYaWJwQflRkFISSih5gbZ5/vd2GROJTElqokdl8xyrGW/W3X/oMoMczn63G6cOlpyW03YVLOm+VTdPJO7al6MKEmhKFxj9YVX/ZkcTEbDdDvliktSTpxTHDjmoYtIsIIqITBIm6AZe78aRZfDdyj6hfI8ZFVGVBM84C7OyntVZmb8eZ7gqSaCtCA1gjSDQSI524t53as2ceOVwb/evf/FR9/y+u+we/R884kaUVbnonUeN16QL8UWdMZdjaKQKKY4EOXmnFXtbcYYu3RjpNP2cuTAj0kVaaP+US9cj7B4AWpZ8bulRgnH3kHGiTnFhz7dZN+hEJrOEqyk48/H3sXgygpzF3ZmwTRrTc21J3u00Kxkonx1qwbt5Ro4TuBlwZMFyWqrMJcrI5uhCqvFZbXqUEqEUWijEcZWHQqjSWPN5Rcn/PDbuzz+fMDR2coHzinYPTdIYm0DRy3c9rLC7tGpMaicvUWl0ErkjA7jTRC2JmU0bhl3UmxWdVQhFIcQnEwbzX7WvIRrtke8+sqUhY4tkfUA7nj5jQjVIOoYllZOUw8rf6gApktEFGdtjYCSih6vaC4qcqQAeAX8pYuiLcCrQaZ7rwC2qAaZpfaWuTRRGYsrkt/84zb3PV2DunKgroBc2AFHnrCed3USVbWTaKQrafyx+N4lYMWqJ+e/raFKHFj16oKrapazGhNVPHFpC0ZK8GuJFrZZ2Tb9Knc+FFpoMmEQfcMd10X8s/es8J/+YIKlvBuial4DCIWRHmn+OXXVNhTOKswJotTb5UgNkaueMeNhVG9Xs5oFYeTvmbFjV2V4wJea7VM1Nq67kqB9Iw36xbXKros3ceuNl9yzrnHuV2th3Wnu0igpdPMa7WLj5apKlU0H4w0ISrpO96IYKtfONljMZ/AVNSb5v1Vfy7GgsnhuU/FDafi9Tzf5/U+26MaeG7ZSAbl7VKK0BfNamlVMPX5n7DnlySnZR/yFgT6apq+y9zjwK7bdKm98lNULTU6e7ZSYym4R9rlCa0WWKlo+/Pg7uvzE27vUTQo6A5OCTu2jScFkoFOMNqQahgaGGmItiDUkGhItSDXFPdOCVAtSY9PnqYbE6eVUC9JMVH62/Jls5HeUAWRWqY03Y+DOlUMQNHhi99KvTm/YdY9X21oCfN36TRx/9l/3J+pHj0y2U3yVFQe+WnpSrRMp6q8rOtkyX7UJwbWIVcBatfqq6fXRMtjKv6/KTpYSpcrcUqYYz/DiwYD/eU+DldRN56wGlU6eiFyaiGrFYOX5Kq1bDTArk6uqAWZVsv0/uJk1mKk49msmf1Y3JBcDKattbVqONEjYn1HufQtwbRRpIml5hu/7jj5XXBohs8wCOge3zsGev6/RGiINAw2RFsTGgdcIEiMc4HOwOp2cvzYOwBWwZ/nOcqYE+/h9HNwF6zuySVJYSX0eP7R45JXf+5/727dtBCp71a/b+S6UqrN05qt0u0+QpnUyJ5QkBuSonFh7s84y6CyLrnLJMqrLc5dktT/uspdCUzopmVsCc1mix8CdoXzNc4cDfvJXp9h9wKXiZVlnUkgURKG9lWCNlHxZl1xl61VFVqsYfIQJ1qhFeanbqDVYrbMYqcrLi4sKF6XanCJGdHnuqBhhXTDtkKFdMkgIiXAOi4jh2ksTfuenl/nx/yzYfVCATylVwNkipoCMQZK4tzMt8EVeF+52xDOUWU3hZIqhIk/LY2kzm2NltLlvXnksRos4aVHUtAgYpCmvuOESfvDtr2alN+DvffznRgG+0N1Erd7koednOHu0wUVbg2KrjzxCz4O80RS8YaTGpKrBHZipPB+N7M3IyiCK31/qcSm0e65LO9BZg1JkSGGbibtG8rufbvDMCyGZV9HchTVYsneuvUflCWM7Lq8tSdZ6v4BpQeeV7EWB+j+Hxc0Ym1d1N1X2NmUQOp6nMPmel25TJiFt04FjdNtZI136XiKEsg3BWqMyzfVXRvzjt/b4mf/m0U2xLFAAO7+ygHKIhN24VkAmwBeimP6lnKbOB+bnlYPCgV3kYDemBHLl38ufLdP+5EP2hQWuFHZ0dsMTXLTV8ObbA66/bIrBICiOYwHwJKsTmPrBQbTp0HJ/28WLK12mJ+xA+aJWpJJRLNicio8NRUBZXqUVkI+BunxdYfQc3MK5KVX3RGRlcJk7Jn5GXws+9Jkmn/hag0hVGbvC3A69a2vvqj1XBfl4Amt8sGa5VclINq4CaPFS2Darn5YMXk6SKgr7HXPjQAtlCa1wTQv51h2iMuNQONbOk0HS1awIbYNOgUFkhlCkvPN1ffYc8/jQp5v0EgG+Kb3xnMmFcccUELarM8HOD/QAz4iRMXeZGXVUcvDmAejIKpl34Oc/k9e35GtcZRaiEHYqRqtm2LV1mh3rZw61GvWDSujiuMr8ycUXbuXogce+evnF7Y9ecsGMjearV5FwnewV/S3VaE3ISEA40i5WKWUdT7PLsm67vFeCSaFXvZ9rbs/L6CaC3/9sk//8wTaz84ET0JWkDiW4JaPaW40D2wE0d1XGU/XVLOW4AzBC1iOgPj/CzXnerGruUdBXs5sUO0GU7F42A1Q3lc2fZ0Y6jS7LUczFUE9Flkk2zWh+7kdX+Idv7dEKUyuAXZBZBJxVje50OcZ21cR5EGpgqIXV6E6Tx8YGo7ER9rEIUF0Q6oJVe68EnhlOp4si6MytQYAsyzDeNIu95ke/fM8jX52Y2rqawQFqNQ/fr32x1TRvSaW4LvCSYkcEpapVfbqyXXMpL8pdaEe1NTljr3pPM+qHV/V9rsOrEqVaTKURIXz2a3Xe+8E2Z5c8m6kRazO4cMtnqb3Nmp538bwy1mIk40bldfV9Mc7W4s+hbwfYMRYv5qNUG0xcTYoFcl4jxAiDy6qFiBiRL1oLJ0mMc1GMkyv5OcmliiGNUzZPZfzcj66wsCL56N0tqLlPV0gU42ggt38UbhAKuFggEZAK29aWa/LcNlSFtK1IlRFWt402Ve9cZTZxmDda2CNsM6mB7zFMeCYIgy8maTZyfEcA/rIbXsvDX/n5h6Ya4gkdpNd5MsZTFPXXqiIXRgPFMckxAmp7QEaTQOOJIDMGdF2Av5AljsmFtF3yMjAcPOnxR3c3ODPnQ0059q563qqITEZ87xEwr91rOc7BVaBXsTsqWVZr9b/IreqYrGb4NZI+UAaY4ABf6nIL6DzIxMmS6tbdsgC0EcYBXiHQIBRZbNi8PuU939XnkWcDDp3yIZe1hSZXo19AuKZmI51scTYlFui5zlYuSLSTbitdUpjKa1HpnrJEpHENF6LcJkUbiDODER4nZqMnfvd/3PvQxz74i+cHOMDFF06CkAxXTtDrDsm0XwCvtAJHA8IczHkip3BWiseKPq+y+KqLQ7vfrZ0u1wWTizFwHzrt8Qu/M8E3nqzZoYqyqrc9e7CFAlxgCWvubTnekjbufZcB5+jcx6HwKQAALh9JREFUwdWvSy/8L3srEhhjtSjV6rnigsCeaFlJ+IxnPC0Wy0KtXItTaHaJMBrhQG/b9x3xDOHOGyP+4092+PnfmeDwaayzkoM813IFuJWVKiNAF+TmqXEZXF0hhmrxmnTxUQ5slQO+8r4yrlzC2K3EpYZhAkMv5LKNO9FarzqmqwC+/oI3IYQXd06eJBoeh0yWKXMnTVQOSMfo55MkOf8wxuQj7xXSRFdkjKkAuwS4FBnSh6OzHr/4uxN84p4Gscj97twGHJcolilGbcGKK+TO02gWbXyEASOS5Lw3Mfb4lwX52PPxxtzRGo0Ko2vcvO7KRCyXvq82SIgRt0UWtpzRtilNCwkZ1PyMd71+QKbh5397gmOzY4jRgNAO3DnQdcHiBcjziDAHuiilWJZzgvuypYxxPZUVOamEwDPutbbnNcng8q0z/OR7XhvHScaH3vvnAFwGG4EN/3agb74y1d07lOy4Yp9q2nzU6SgYe00gu9cOzDnoV0kWRvV3AXAHciUypAfH5jx+5jcn+NS9Dtwqn/cxfreetxB2MR1N6owzthnxVde0B11ed1X9yXlqO9fEuBgF7Fqgzl8XNmFFi1fBXO7EUGFwqv2dYkSTF06LllaWVFjcaIPGGs3CDWER0tZW+0rzfW8Y4Cn42d+c4NgcTp0Id4XJii6vanNH82uAfGT6ZtFnYA92ZiBDkIoS8B4ufpKGTIDnWF0YzeZ1Dd7w8l3fvPHKC//tubmFVYd8FcCF2Mjssc+ueF5zXy0Ur0KnKq8UrCZgZDVAzBk5B3Xxu6rm12p2t8/LC6Rk8dwDz8r3PDi95PFz/32CT93TIFZVWTL2iCoQKAUju/9Wa7xFBex/bmq+moioAHgE45TSBdb+fSMMPSI/SnkxAvxKIqfYuNWIUWCPdOKP16y81N0mgYSrYxGFZ+7qVoy0U8/QvPM7BqQZ/PRvTnJmMQe5HP2gI+ydA1qXz///7X13nB3Vfe/3nDPl9t27TWWlBUmoIAmQEEKAQGAMxsQGE4diO06HYOOC82I7wXlxnLz3bLAdVz5JHGLHhue4gPMIJS5gbCODFIpNl5BQWRXUVtp628ycc/LHmTNzZu7dlbSsEOB3Pp/ZvTN3Zu6U7/zm++tSAzkFdJgXJxQn4euSEwIOAo8o86NDjJo1koBTh+cKhU1f+/aDo+9778WHB3j0bIrhGzJZZ6Xw+DJEdmoRW1GIQU8MxTIN4ATAo+hDxPMJZVOEn2MFkxAJwoDAoviXe7K468dZeIzEXC9h544jBbViyUjKLIi0zTuVyICYnrSOCEQS5SRxSogjeF7BaJLuJOImCakNA/yhhSUGeizJtdIZUZSQlmibuQJ5DHiK0OMJpiwXQsKGxFWX1LFpu41bvlFAACgyTEJtj+jz1tJbW6DDiySNi5mIqExr9MZ2kZmKQhIKn1AEhIBJVa/cJoCbyz27/1Dlhp6OQstL2RLgXX2XY3T3rTxjz5X14e0IfPW7KolX0QVChZK02gUVRwC3uL8kCXCY68Pg8KqJh36YFD1RIviBR1187yc5NOh4dIQZgB9HekM2S2sTzBNMJg83WwNGEjwt2l8BsJMgRWJKXOkERYFBTeIyFEcqyaVQIa2QMjYnRlJdRSW6QuCat9TwxEYLP1mXUTiNztkEeCi50+Ihuv3pd1kaK/phMC+6EmSS2ggIBYeEywRWLO2Th8Zq/G8+/NtHDnAAyHW+FYJXvzc6tHmBEC/nHebDtXy4jg9KAyCUthGvFAjNTQnopqDcCujhGtraYpoMGQGxCO77ZRYf/3IRG7Y7qo+2aQaM6nskwU0QmgURS+7YMhLHQrSkJymctsJuGseR7hFabSaLb9nq5WcwPdOFn6ArGvApmhJL5+T3wpTiUdy44danIgI5RCh0uMTSuR6+8JERfIxJ/OfarJIrOr2+Scue4IpJmTpJYzVBlFsUSEhxEAuwBWC5cBnBohM6Ku+9bNX3ioUMvvyJ1td0XICzzEly90v//hVhn3mDX7kn3170wKwahischOpXkpIgBEBbQcLJ637L4clwgPsEMk4JSZyojJbI6GGJeDoFiEVwz9osPnFrCG7blNoECQmulyEtvVV5g5bVYdOxyYgFR5MiadyfhKOn5SA4KkneQumMJ9JCSqey7cOguOTypCQXgqpkBCkjRhGBHUrhFCIspEy12RBhoosMrTQS8CUWn+jjlg+NgoLgvocz6qAT2cYwOPcEJy0k4IdgJrGpyMpJtJXSgcMEkjKMjmXgcYpswcLbVi8++OSvXvzKh669bNxfsiY6hEJ5KSQfhM9/hO376viPRzP4+RMuVNNNGUa3SViQWLXcw2mLfHCuvuJcoqcscMYSH/m8BIJQgeKI+o4nIK85HAFISJjvWZvBJ75axPNbbRVAQgmQMOwZgIfBvRGCG+MU70EzqJNOn/i4mtcxjz3djCtG9ZHiWwOStFo4jvPHdOWbpsS4kL6ZJC5DhS22nGiRoqU4iEFVoocpTJ4QyoImQrskFQLSl1g6x8enPzgKCeD+tRl1BjTUFVpytRDQIjwBLpHPSKw43UNPm0Ag1MPEOXDaogCrljcUOKOTVG/Gnz2exZ1rG6jyPpy5fD5mdJcmvL4TArzUMauxdevg++5de9Kdd/6E55/fksNQhYaxCTomgYNIgbXPc5QzIlSoVd/wYjvHsiU+8q7A289pYNViHx0lAdsVgJ/+NRIphpIS/PARFzd9tYgXttpKmyAkAeIksE1pTkJHQWwKjEyCMKgKmumJCc7EvKlstkJu+ok4SpCnAZz+bJoIY2STaCXTqxknQaTT3EhIZ2LuDWJwdGJQF2oupyEdiiW5EBLUA06Z6+OWD41ACOCHj2bUweiLmXowiS9hOxIdZY5Vi328/ZwG8q7AsiU+im0ckocPI4D2jEQxD/UwRvHr6gFcMS/ABcsHMRjMG+kuB9f3dM9uTBrgz206KMpt8x+fv+CdIztv/1aeUwG7CARcQHIfEB4gfUgpMOoJjNb0WYUielRi8y4XRErc9/McprVzvPW8Oq5+Sw2nzg9gidgyoPCtCtr8eJ2Lj32piA3bQnCPp1hGtMSgJ9B27ziazaxBnog5TltJ0jzc+BxREkmS7UtSYG7NzY8e2AnJ3PSdQVui+RRFicCutYNYgqf/p0GuHgIa83iolDi1D6WsCyFBfYklcwN87iOjkBJ4YJ0LHtnESURxmAROXeDjqrfUcOl5DUxv4+gocfWmhdbRdISkesi8apyY4XMbQWAj4DYEt7Cg1wnsbO2a3gV7fjK490GBCQab6Mtbbv4cusq56pate9blLPn727btZBnGIAlFABZ5owAgqpusGsdH6ecSDIISVOoM+wcZnnjewY/WOxgcopjZLdHWBjCLhOAmeOhxFx/5fAkb+7XkTgPaLNyTUjiJym6Pawwms+LTGe3J0sUpjk71f5Kwlat2eHpe92In0TwNJx3qScKJUhLNR9n0iI/FDA1IZxWZD1TCbp+OX29aR4brpONtZMvt4jeZGbtvCgTDXBAaBaQAejolzlgc4IV+Czt2MfVykRI2k5jXF+CD11Txv68fxcVn1dHbzpF3JKSgkIKBBxY4t8ADpv5zC5wzCGmpjKPAgRe4aHgZVBsZjIwxOKU13Mot+/TwYGNgxknvm1BwTExRChae3bANpy7u212t17Y+9usNCw8MVmBRC4GkqAttydD2bX36RiAFkYrKEA7JOBqCYPtugpu/YeF7P8ni0x8cxTsuaIAS4IH1Dj7y90Vs2m7FtCQx0dSdSC+LlXptEoyDeVrTk0h6w7zBJq9OvByapHIr20FkWTqcyCat9xNvrHWdeGdxZI8pwY3NTLd+wlSovZ+mCRHQ1WpNpVMSVS4i4uLEkOhQyRIqAV2o7QKJBScGuPXjI/jw54t4aL0LQoDL1tTx6Q+MYd6sAIwLxWx9AiEZuGCQkhncv/n66hS7wLdRrbuo1GyAllDoWLK1rXNx3fdGcLhBD7cCYww/evDRfiL96958zkK0ZzgcCoiGVAG7kLFUpbqYfCacXFVYPqxDovIiKaRFEFgEm3cw/MUXivjhwy4eXO/gzz5fwqZ+C1IH9TQZmFMTMRVORI6dZD3vmKYgIY3in0ibBltRapI+nBaANiGaKON2mJEEpdpPUsc0nxgSfzQ+JOmIVjoN7h7RGBWjgoiLm27+lKnR4OvRtiARlYh+SEjABxb0BfjSR0dx4VkeLl1Tx2f/xygW9gWggVTgFhRcWgi4Dc4V5QgCO6Ygga0kuGDKigMJ2xLIugJB4ODgoAuaXYZ6XV63Y8u6fkImJCAADiPBAWDxgj5UxirI5XN7ykV77dCBzedtHxjEtJEqXuiXGKxYCsAkrtRq3LrQQB6qeAJQrlsR3Sy/SvD48zaGqgTbdzBIZmrhhuSO4GIoldFnJKS3DqZqspSkl6U+m9a9hHPHOKPE+qkHYKrGeLEpsevejEXROkzKi2k6isL6gUo6G+uR2G8rBVXXXiujOgY9AnLoPpc6BFc1lU0cJaeY28fx9nMbGK4RONn4MVUPDlU1y7kFLhSQZZgcrSxScd4tY6oq8EjVx/PbGHbuAbygB7MXL1k7e96qPV6jBjeTe+UAB4B8IY/NG//rpRNmlb5yzeXzzxs7eD+m94zirp9TfPH7ZQz7FsAsEGqFRXTUdkICgaQQUexBmB0CAD4wf1aAv7h2DJee7WGoQrBpF8ODj7gQdvoIZFLUJiqZxPAyLSaJYCokA6laJRBH4E08FMkUtSSISZK6tFznCNFMxv8uksQp2iNT6yQegugNEFomCFI0JXYARbHkYRitBr0O0GKariCMOAyjE7XCnfBcWxI/e8TFP30vi6EKQX8/w8f/ZAwLZvngtTAUQFBwoaR4wC0IrgGOMOeAKyOBFaDm+7j1/xXx3Z92IJuh+IPLFqAeFL7yyLonXjr3nJVHdHkPS1H0OOmkXsyZe+LjHT3z77azy9DmtuGK1QE6cj4ABkoZchbQZkm0WwJlS6DNlihYBBa1oItdAgTwCObNDPDJ94/hd3+rhpndHAvnBPjglVV0tom44EyTDzFNUeJTaCrzgNB6ggnoSfQzKd9rC85NUkhPS/WWICfjo74JqKkVW5jAjWAI0rxO2tsJbaEK15UG8CNgmw+HLkERmxpjGmOYFmV8LOZVIxQYGKa49a4cNm2zsOeAhW/fl8X/+sciXtptgTlqQyEoAm7B9214vo2676Dhu2j4DhqeAy9wEHAbAMVgleLOtZ0YGGzH+acvwBnL591dLM95vK1z1pHC9sgkOAAQaxYefXJvP82sudEXL7Gat/OyfYdG4EvVwKlgERQtAVc3loIKffS4Sj8akao/IwKBub0NfOr6EVz55hpcKSHqBJQBZ5ziY/UKD3f/LBtHXUbASoM7VBvD2TDkPmLkaQk9rhJJkt+lbd4JIJvfN/FuQ9pPqF1O8LWhmzcHXCW/SxQLMrh27LZP0xHEUlsvh8GzifFAGJJekvj8YEh3IpMPL6HAL5908KtnbfAw+L7OCe56UN3Lv/3TEczpEfB8Ai4YGr4Dz7cRBEyZKwlAiYDFA0gBOJYDm3jobOeQPI95MzvuPf+cVTcCL+8gpO+IAX7EEhwAzlkxHUum/3zH6tWLnhv0Cvjcd13srZRQcBnabYGiI1FwJYqORNGVKLkCba5AyZaq9K4ncGJ3DX/7viFcdVFVgdsPX6NCYlqJ408uq8HNaKtMqyctjbDw9RaCL5mxnQJvi0jBxPPTCthpbp4+HCS/b1rpKDjLRMBPeC3NryLPJCKuHOdwknjbKIYldvmb60ROoGgyOb9RmwWm4hp75et1gq/fm8W+EWVIAFQiSp3YuPOBAv7ma23oHyBwXQ7BGRqeg0rNxVjNRaXmolJzUGs4qDVc1DwXlXoGpYyLj165H+edmcXs+Ss3fPe+J48K3MBRSHA9Ch3dAGbd8suXXpi75ZB1jWs10O1KFByBTNjXyYp6/ChDC6UCIz6wbMkwbrh8CFeeH4D6DnyJOGpQCjAisfIUD1e/qY477ssB2bQ7LEVPSAxulQVi0BP9Am3Ft8exoKSBnQB1C6COG4syCY2zNWVB5HFMrqdeE2amvf7fPJHo25imGNwcScdRrGBqhTIR4Y+oqL0+DAIQF/j+/Rk88ayjJL5R4BSUoCGB7z/kAJaF695WxYk9BKPVDEYrLniY0kPDFpGOxZVUFyr469xT7GD5GauCQteyuhRN7u/DjqMGOCFLcdOX7x6e1jP/j3vL+3od/8C5eYsj60g4YU9VyyKwQl8PIUAxR3DRWUP44JWjKOdseA0bKslUV6kKS69JgUJGYP6sQMXMmwpYk0anowjjuWhK0I1U7Eny2VC3N01bEBGOlpK5iboc9WVvMVp5LGOHYAiu2JYoQ9GpkyDM+imxJJeGBA+piWk+NCwuOikh2cbb8Iim+L957kISbNploVILdSwd+WfUgvQkw52/KOKBJxv40OUSp/TlUfctZdqlEjYTsCwJx+ZwfIEgUMpoiZXXnbho9hUNjkacFHrk46gBDgCfufEKPPDwU9WTP/Bb3j/8yw8wMjQI1yGwGYFtAbZF4FgEjk3gOgylPMWqk4uoVySGeAOu48G2fDAWwJJhzVIiQQKJvCtx0dkNfOeBABu2M8BNyzTSJDojywhaA7lVYFUaqGmQRzMpZbM1RzHXJYn9HclIPMjjrdPicwRm0jxvSuZ4Ow3gVLhti5iVxKT1Chkr2zouhjoSz2+18cCjLioeVZV4ImDboV/Egs0Y8gzIsQzWPw3whotSgSrBaEs4toBjSTg2hc0kanUCybrQO+N3/OGBxqH2nsmJkUkBHADOOHUuhBCPXXHJirMffGht1vN85Sa3KFybwHUoMi5DPsPQ2Q74QQYHhzjaSzTS1h0JECsEN5GgTADgyBcF8hnTmtICUKb0TnNuQ2onDIrj8OyJmEY8kXGOIw3D5idgvP0f1tM57lGJiGboVRXgTOuK/s7I9jEAHSuMMrpiSQ+paSVJkL6mw6nUCWqjRpqaluBUNRuwGUObJdHhCnTmJRxKsO8gh+cT5LMUuYyE6xBkHAk/oFAVzTKYMefsWra04DFCjkpVTIxJb1luLyGbsf/qskvXfGnpohPrBByORZB1CXJZhkLOQjFnoVQgyGcFLCYRcArPVx2/Am4hECwy9itXsDoc3aY5vstpMamlODEUSqPOd0pia8Q0KZeImU+TtJ+Qg5CWAGzaDjicYG45WiYkp93yppMnUhJNhTJFWwzTYmQu1J+bFEiSojLNPN88M0oJCDUccFFNGtVFI0OBnCXhWhIWVT2DqnWO0QrHaEVgpEIwVqWo1ikaPkHDE8gUT6j3zV/zJQnnr9xMcbIwnTzAASCXy4tHHln/qWnTej7b1T3DA4Csy5DPWshnGQo5IJ9VrlbLUm27pFQluISgMbBh2lmJ4uct4YOWSyPTIJKKZJzz2Rq86dqDrXYePWKpB2NcWzgmB+poyNReDFQTE7jG77SSrAlAJuhHC6tKuDdtM4chwaMrpOlK9Nk4xMRDpCVG2EUDRLWGIYiK4AeBRL0hUK0HqNQCVGoClRpQrRNwLjFjRo/X0dH12WefXv+pbDY7YbTg4cYrAjgA7Nhb9aRVvnn2rOl/19WRF7ksRTFHI3DnXImMI+BYSopHOY1pU1V4MwQHTugWuOBMTxV+NJNVE6k0JAleaEoiW1tNjJdAmocDqc+HsayYlCdF0xPjaIHelNVjWEnSDqH0MsO3Ey4whAZMsx5J7kN/byqeiJdFJkfjNyKGTwAZEPzscQf9B2iK8MZKjf5FIVWNQS8A6r5EraEkeaUaYLTKMTzG4fGsKJam/d2i+aWbe9or3mRxqccrBviHrr8aJ0xntdUrF929ZvVy2dUOtBcUh865ElmXw3UEHJvDCgtxUirCXu+yCQVSELSVBJbOC5SpsSUXjS0c6YjBNIC1JG8FxFa6ZJpvp7eRR4PaI1i3lalv3HXRDOoIsIYFxaQUTb9leipTXs7m44pd/hHoU1qJ4MBzWxhGRmnqwscjLmyvGkZ5HGj4EnVPoB6CfHjUw/5DDXTPXCLtwsK7N2y1agtPu/IoLnbrMWkl0xwn9M2Gk+nePL0ne8P0Du8ft2x+ivoBgetIuK5AxuHK/GNz2JauGhuWhIBZciK+WULncSZEsGFBCf/piMFmZVNOCH5zPjFaaZ7jPRlN8+Mj+hXRFkSXJTljejKbjiFpJ9fezISn0zARxknKJBGjEhXmkTEvT58ZpWjxRVhxVqruD75QwLYCwKIkboFDwvaGAjh71Qoxs3fuDUuXzt/cv2PvFFyxKZDgADB/wSK0ZQe8+YvO+Hrdd/6cWF0QgsO2BDI2h+sEyLgBXDuAbamyx7qMMknEgYQXiQO1RgppCSePYtwm/05zcDP+UO8mKWBkEpfkMDgmLZa1XHDsRgRdk6ebtCZhBzfWNV4PkRnQWC2S0oZSmqA0iZDbJO0hBMi6iFNnpHmQAkJKNARQFQS1gKAeENR8KGXSB3wuEfAAc2b3oL2U+fPV56z8+saX9nsnn3zylFyzKQE4ALR3L8SB/fv58pWXblm09NzRXK4E2wqQzQTIZXxkXQ8Z14NrKxu4ZQVRK0AYBcuZJbFxt4U7H8hAeEhK8JQ2GGWlhItbKY0tlUvzc9qqYiwzfrnZSDauZoqJecZ4Y4Jdxdw3BrQcbycyCdxoH2lLSAuXfnSWqeAqMzjLPC4hCagtcdVFdSzs5aqMrPlkCVVXPOASYwHBcEAw4lNUPIJKA6g2gFqdo9zejosvOm/0ynf+1pYDB/bz009bOIkL2HpMCUXRw81kIYLKvQsWLvtAPuN96eDOH3W41n7ksxw5t4F8rgGLBuBSV67SBX4QS3ICNAJgpEKSCqa+gYZ5MJG500IxbA1UNEvjVrQkPW8cy2GF9qRsgxNsl6AgyU1kavsmV79eGGIvcvAQU3Kn26LED0Sc72kEZplWFSJRKgi4Vosjk0IVzicCXBKMeQx1SuFlKHwp4Qc+OtrbcMnFFx5aecbpHzl0aPTecnnyJsFWY0oB3tamUvgbteE75i042yqXareM7b+/u+C8jGy2hj0HFV2Z3iERcJUpra98nDWu9kUSfNuwnBjWE9YC2GY5tvGUzuhfSqK3xFcL8B+B43HKx0S/FyubhuMnCjSRqVhys1CQ4fTRSifRlW7SBTxjiwtk0gmUTIwmySOTYZcIwTGrg8O1KfoHcqg2HCzu68Blbzv/wMUXrf6LRsO/o6+vd8qv25QCXA832wbfG/7Xzhnn0wzd8pn+bZu7/+txirseKqEr7+HGdw9j+TyOhueoYPfIHWySBY10o+BDVCoirjsYlYcwHT0wqYlsSUfGDdWeCEmvNqqNEdEMMs6XJC3NYze9lsiEGNYRCehaNGlXfXJCJK1jp09sVmx6ZaRTo6QAAg+nzx/Dn71rFO15gu//NIf1G9tx+umrDlx92Tk3NRrBv3Z1tB2T63ZMAA4AttOGYPC2r9tOhn9n7eK/v+0/Kh31agae56PmU9xywyBmdRH4HovdCUSk7mDaepKmJ8maJwq4sgnIzfxbNv9ENEuSEr/FeNVxnpDAeoFMrWCQb2KsrcGvnTskCXb10KiHQVW4kgmJnYgZT0j0BOmLj4PoLhuW+pEGMGe6h0/8/gguWWmjUcthca+Hp3YVDq3rdz/+t7c98M0vfvS3j9mlO2YABwCrfB2uvPFbt1Oc5r31jIF/2rNnZ/G5nS42bMmjf28NMzts+D4DoyqNjVAOEXHGhPYYX7wwmVdXi43MgySpdKpNY15v/EvjZlzOcThhfmyAngYvIurQNOTh9xGfmracyCSwzVeDACRLUkazcD6Fzq5XZZJNz6e6IPotGyafEwoQib5pY1g0V+LgYAlPb+zC7L7e0bdd5H7ondnt3yXux47JVdTjmAIcAN56mivqful7XUU78BriW1/9waZMw8+j0ZAYHAG44HBsT7X2E4FxMzUtIUiUSIZR0wQyQU/Stb9NGWMaYyIYtFrn9TZSD2ccMRiDWH8TBWRpXEoZUpuQcpCkLTw9r//TsDObDOsXJrRdQgFqgzGGvKUytSgtYmy4gd2jPjbsm9sgxdnXduwp/ODAocYrcsMfyTjmAL/2j9+FHS98l88+ufcH/3GPz88+VfzfkYG9mUYth/2HqshnayBQ/X8kU/UxlCAIJXZUg1ChlhDdTCrZpbipKhVaJxeb/HxCATjJ8Wo/JGkrClLzBLGADvOKE5xcgTZWOoUACCFhv/uwMKeueBVVuxLQzaygl0UFVhkIZcgxgrItUCpIFEgWTzwzE/MXTmtcdtk7R3OF2Y/6QZWvPLl8zK/PMQc4APQtfhe+ctu3+X0bZ/z7752e+X0WZL8JuT1XrTPYlg3bClTwFVQl2v4dFvYesgArVdEKZr+duFNxUoqjyeyYtJYkmWxiTAE6J2MCn4o9yAmWa0pu6oRaSSSajkTcXCpwM5KgJyTs1Kaby+qmsjxgmFEW6Ovz8dweCQkKRgiyTCJrSeRsARFIDHtzq56Y+YeL5/etBewDAs4RndcrHVPm6Dnc+PB1v4uPvaUqLzll451zTph+bWfPzGFAueRVqS7lvh2sAPf+Iodde50weF7XW2GJZlKqlfP4/JsaynzCyjhFo6XX+lgNMolf0k93k2Hc8ESmQmxVDR9dhFNn2euozzgCVFWcUlOjYaF3usDl59fQmQtULXGiOtoBysfR1zdruNQ+7dovfP3xO7/9nXv2EkI4I6/Ou+5VAzgAXHzJldg+tBB9s93v9Pad9OGZJ5x1kFhleL66GZbF8cQGC//2swKQsVXAfAhuQDUicojZkkQmuDhJSe8md/0UjVcN2FP5gyk7frIabSyp9X8N7hjwNFyu+DcPAc6FhaDm4N1vquP0JTUQzsMKBxwzuttwyZvPOrh48cIPC6v0nXdcvAzvfc8rD6A6mvGqUBRznLnmvQCAem3wdkota9/OGTeP7L2/W8rteHoL8NW72lDx8oDthgC3AULBaNyG2yJhkRhNTagpxWOwawNMWol8PSqVkz1WU0KHhCTSP0ho0xZQK1GtbAJKUhORrEYraGyKhQQHi+zqrgN8+HdGcWg4h2d3ZjBrVhv+8KrzD1z+1tV/6fnB7dO624/LdXvVAa5HJluGV69+Y9rsC0jG4Z8Z3nd79yf+EfjZMz0g2QwkiRNYSSi5bZLsm5ioEpsCd7oGSguH5OtqSLzS120I7sQ+tedHgRdUJvtHibjdLYnqP0rVxCp8reg+90Fg483L6xB/tA//81978AdXXXjgystW3ySl/Ea5vf24XbfjBnAAcDI5SDH69c6Z5wQj9cYXh4Iny+XyGHxBUJcEfmhEsjW4qYzLIYeAZjQJ7mRG/RRzb9NSMd7nCTad9Gh6UOOUnsmcmpa6BGH3hwjkUOCO+keF/YYkjI7IOpyWRuv5wkYQUIyMFbFyUQmffP/Fg+ecuepjNY98q6t8+PqBx3IcV4ADAKFFVOreHZnyRYfOX+XNu0g0Pvudex+zD3oWPElh6XrfITUxrSeJzsXaiWbc9KbiPsZIOP3MhQStAdsSxKmMo9RKR5Itn879bOWMMh1XzTtosR/jUGKvbLPnM6Iphs1UCCSy00goxbW5EJqmQEIyAkYEfE4wWnWQ77jAh4uP//Yl526hlnM/IZmpgsmkx3EHOADkM4546pmN937yfW9x/uvXm6u2Tf/hrp8+RnYeqtEGz8OiCKe4WzEjahkzlqVLrwFoCWy9+HCWkMlK3clGy5LDrXA0v05ax+Ek1jRzMEM7uSrYL1Upt5CvqP2QMDgu5uEWEWj4ddT8ssh1XCjd0qkfLHQu+ubg4D6vq6dzkldvaserakWZaCw7dRG27dzvnXTijDsWnjR38Y3vmf3JS1d1gwUBGJFKglM0NZViIfhZ2LI+piytbyoA6LQuY7Zl/HTy+7ggTjq/bEpNhpF5U7Y++PFOKLm58daKQd7qDaDiukNzraAIuJq4UFNsLgzt3uF3UgA8kNg1tAAv7F/2yXLn/MWW23tHZXiv19WzYKquxiserwkJrsfy004GgNoTj//LphVn2Ddzb7Ejxct/9cgzLzNHBrAIhS+U1h9VRAqluC4VFzk0jGRZwKALoahKvLVTPCVRySSKs0jFXaAZ2FFWDEy2k1bt4jGeUNbgNH+2lQWopaOqiY6Ekjw6DZmgM62jAwkolZBMrc9YfM0CzhAEgFtk4PZCztxF/+emb7k3/3l1J7/u3RccW4BMYhy+RP5xGP982z2YO/96+ad/dM3P77/739yiS8/0xwYtoIH9FQEuKbKWMpW7loTNlBTXfW+AVFio+pj4bzqACDHNjCTp9o/eBOZyYmwf9+fR61CqPxNjnbhHj/69uO+PoT+0cF7pkiOJ0iPmsdNW52FsS42y0imFVcenaEmtJHTo1JFhzyOLI+t6kPAwMFQAp9PRPu2Cxox5V3+ub+7qv/7x194j337pNccbNi3Ha9pqtmdgBG0OR52Tzzy/YevZTz52F/3lxsGz//MRYc3tsFHOS7i2oiaUqNesz9UUcISOidTJpkyKlMbNqOJGVXGjqBgoJAYaAVg4T4kKKGKEROswFgJar0MJWDhF6xi/l/wfWorC/zS1jGi7v26aFSbvEuOzeqOJ8L80GmzJmP6EQ4TgDjiFH6hJlTNWTaRcJ0AxX0NP+QCefbkreHH7vHVXX3656Oias67h0ZtKxQDUKh9vqIw7XlMUJT1mdEVNPm/a8Nw38d6rTi4ufL7+z2P1gau9oQPUklVkXAt2GHocBAA8CT8EN9eNl8OdJJ9mJb/oeEkExog4uIxrgCcSENL7mETKT5OdPnJUxR3SAP02kYfdvcqIMjvHqYaupuIpoUzfAAAO+Jyi1mAIeNhrlKmyDpZdAst2iTEsuauR7/rTux/ZPPqB9yw7Vrd9SsdrWoKnx/qntyCbzXbt6N9946+f/NXSytjwFRs3bUEpbyPjWmh4wMsDHGMNCY9r7x0StARIKqiMSqWc6nlGkrQg8eonsVSnxJCwJNwXjaU7OzoJHnVeJDL8LJskOomkeOzB1bmtNNo2nKgqtMSoAGOq940CeOrmh2ZwP2AYq7rYtd9F3aOwGUfG9jBt5hyUy4W7Fy5a8lypPP3LgV8fsHOLjzcUjni8piV4epx12jwAGNi1a+dfX3jW1Sese2Ij+mZNv2Lv7k3wGxXkcwTZQhUP/spVZZxDE2I6E12Dm0glwcbtPo3YaqIovRl5JxNKJTDxfg47Wr1mIp4tQ2qlpbiWwjqpwTjJcLHeTj0gAowqgEMikv8ECKmMQCFbx+ObgR07LdgsQHdnEYuWLMfsvpPuLpQXfaTqj/W32VOfM3msx+sK4HrMmjUbO3cP9C9efPLH2ku5O8gZC2/s3/7SGoc/DbnlIA42ZqJsE2QsgDD1mtZlw4RUALeZDDODtKvOsE60MDGaQJeRpQaRpiZT1pVXMqJjgDSUR6OJq7myjE19cc5luJ9QujMmYDGuLCOCKPNfyLMZE3CsALlMDS/ubuDQoXa87U1LsXDB/Ie7u7JfPnHuCc9w3++33NcfuIHXKcABYHZvFwC8JKV8CcBznAcz+qb3fu3Zfc+c1JPfwgZGOQAC1wIcJlHzCYbqysziMoUCSmVUoVlbP6hpjdGATQhHs7SCUQ1gSofhrElPUYW0OCVNVWiIzacyPGAKgFEBm3E4TgCbqWsyWsnAD6iqF0kDOHYdY/UC/vAdp/E9o6te6izI689ctWoPgE3kVQprPVbjdQtwPcIbsEkG+zZ5Pr9k8cJs761/d95dX7z9odLLuw7k4Y2gLUfR6QIdZAxPbXdQ85xIiqt9xLTFBHgirFSYcS0yzHJpznycsvNCDGTNsXWpM+1ZNzuiCQKEpwOmy7iGlhXLUnVpJKnhma0uAq+ErGOjo1iBXcyj3D27Qou/M8Kod+W02km7Baz+1zuwzev4hhlSCgCE7j803Lb+11vPosBtzz3/YnDg5a0dC3oPFs9cug3XfoHimf5pmFG0UXYF8q5EzpFwbaL6CzGodDmpupIFPIzPCMGjlUKLqTYtFiOhF5WAURorqqFCySKlMl7WUskMFU3Vq0aG+1afbUtGn7WpT4aUKwgIeOigoRSqz40tkHU5sm6AXMZDIVdHW2EYG3bVcf0X5uD8RWVcurpz9NSlsw71zJhnWZa8zskvWi9ZeRgCwrLeOLB43Utwc4SdAMTGLS8PLl0w68cHBkYW3PTJbze2/OqrHx3ev/73phW4//4r9i665VtuptrwEVgyzEFUzbMcW4GWUm1ZIAi4RMAleGiRYUbTUh3LkTbttTiylscrx5uXsdKoTXwK4CKyonARtsYWFF6goqMIleBCRQDalmqzTsAByQGaxX2PddY7yydsPGXpPHvluWfdUdv2/s9bJ3zJZXZ7PfArwrU7jvctnPLxhgK4HovmzQRUpFB1966dINT67Bhlnx3DEnbGirP+4d1VZ8HmF3ed279jL6O8BtcOYFEO17ZgWRSUKkBKKTBWk6h7qgQwJUqqIswNZTo8QHsoxzkeYhJ6oCkWJlwULTc7LpDQbKgls2UJUCLBhYoPGQ07IxBI5UElAr4n4VgMlsWQyRbhFOdzt33mL9ecXdzUd2L9BuYzbtsZyDm3yWypr3q879exHG+cd9ERjv0DQ8jn3PL2XQOfvvX2B50d27bzRbOzp5cKdMXBgQGMjo7BdRkKOQc+D/Dsdh97BhlcBthUImNLZGwg46h2LRmHwLYJLO29JIriaEqiqAsJ23yQKF+UpgLENF0hYYy7xRBSDU03uKrQ66gS1DbjeHnAwVObCvB8BscScB2JbCaH9nInOtr4kzM6Dvyqe9pM1j7jHR5zp31Civqgm3nteh2PxXhDSvCJRk9XOwAMAng/ADz00MMAwRopgrccHBy9slarLiTSw+jgdpSLw9g9OIBfPJtDsWChI0fRkVOBSHZofmFUdZdjTEt99UeniAEK8DQEt5DqbQASBwLFMSJqu4Crcmp6n5Yl4TqaU1eRdSoolyp4ensbXthRxPRyBmeevgAd7RlkstkXCSvclcvaP+ESD89YsBrAjcf7sh+38RsH8PS48MI1APDw/gOHHgawVohgXmVsWDy57oCY3ds2Z3Ww5C93V/bBzTnYv3cA+w4NIl+T6C4C+YwNy6JwHQZGgYYnEAQy9GLGnJpRwHWUslqtCwgh4ZI4zk1HRhIi0fCBhqfmQYCsI8BQQ86tIWP7KBQK6OicDseqY8WKk/HiHn4zr1a3LT99Fe3u6qCOQ7cA+HE2/8bj05MZv3EU5UjHky/sQT7jtm/s37Pmp+ufAiHUn9vT/mdS4mIKgZwVYMNzT4GROsolC44N7D8UYM+BGiB8FPMMzKIQXKKYZ5jeBRB4eGoTB6SFaZ0OinkCIRQlaS9K5HMWhsYc7BkQcGyK9iLB7OlZLFu+BKV8oE2YD5Rye74YBNK221aBuX0PA/UhQk483pfsNTl+4yX4eGPF4hkAMATgHgB4adseANjYCMQ0KaQgwsOeXVvg1znyOQsZF9h/yPNXrlz5qXq98va2nPQtCxgeFWgvWZjdI0GsKoYkgQ0HvT0WOkrA0JgAIRS93cxub8/d99AvnvoUl7YtwQBCYLtFdM04BbkMhQSolNa+ANiW7Zx1vC/R62L8fwk+hePeH60FQKYNHNjfVsoJaTHg4BBHuc1Cb7cAtapY9zyDAwczuxg624CBYQ6AYvZ0m0yb1jUsgX29J64+3qfyhhn/Db72K/LLhqSCAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIyOjAwOjI3KzAwOjAwRVBtjAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMjowMDoyNyswMDowMDQN1TAAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 66538693
{'hecke_orbit_code': 108086391090454078, 'n': 1, 'trace_an': 4}
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id: 66538694
{'hecke_orbit_code': 108086391090454078, 'n': 2, 'trace_an': 4}
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id: 66538695
{'hecke_orbit_code': 108086391090454078, 'n': 3, 'trace_an': 0}
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id: 66538696
{'hecke_orbit_code': 108086391090454078, 'n': 4, 'trace_an': 4}
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id: 66538697
{'hecke_orbit_code': 108086391090454078, 'n': 5, 'trace_an': 0}
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id: 66538698
{'hecke_orbit_code': 108086391090454078, 'n': 6, 'trace_an': 0}
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id: 66538699
{'hecke_orbit_code': 108086391090454078, 'n': 7, 'trace_an': 0}
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id: 66538700
{'hecke_orbit_code': 108086391090454078, 'n': 8, 'trace_an': 4}
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id: 66538701
{'hecke_orbit_code': 108086391090454078, 'n': 9, 'trace_an': -4}
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id: 66538702
{'hecke_orbit_code': 108086391090454078, 'n': 10, 'trace_an': 0}
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id: 66538703
{'hecke_orbit_code': 108086391090454078, 'n': 11, 'trace_an': -8}
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id: 66538704
{'hecke_orbit_code': 108086391090454078, 'n': 12, 'trace_an': 0}
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id: 66538705
{'hecke_orbit_code': 108086391090454078, 'n': 13, 'trace_an': 0}
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id: 66538706
{'hecke_orbit_code': 108086391090454078, 'n': 14, 'trace_an': 0}
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id: 66538707
{'hecke_orbit_code': 108086391090454078, 'n': 15, 'trace_an': 8}
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id: 66538708
{'hecke_orbit_code': 108086391090454078, 'n': 16, 'trace_an': 4}
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id: 66538709
{'hecke_orbit_code': 108086391090454078, 'n': 17, 'trace_an': 0}
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id: 66538710
{'hecke_orbit_code': 108086391090454078, 'n': 18, 'trace_an': -4}
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