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{'Nk2': 32016, 'analytic_conductor': 63.91226177783282, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [23, -1], [29, -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': [8004, 1, [4003, 2669, 3133, 553], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 48814175724, 'field_disc_factorization': [[2, 2], [3, 1], [137, 1], [3583, 1], [8287, 1]], 'field_poly': [-4, 18, -10, -35, 19, 19, -8, -3, 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, [-4, 10, 122, 107, -35, -52, -5, 5, 1]], [7, [-6, 54, -145, 104, 56, -41, -11, 4, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915673924, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8004.2.a.d', 'level': 8004, '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, 3, 23, 29], 'level_radical': 4002, 'minimal_twist': '8004.2.a.d', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+(-1-\\beta _{7})q^{5}+(\\beta _{6}+\\beta _{7})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8004.2.a', 'trace_display': [0, 8, -5, -4], 'trace_hash': 381089162660321636, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 14, 10, 12, 16, 10, 18, 16, 8], 'Nk2': 32016, 'analytic_conductor': 63.91226177783282, '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': [8004, 1, [4003, 2669, 3133, 553], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1429, 'dim': 104, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33562436, 'hecke_orbit_dims': [1, 1, 1, 8, 9, 9, 12, 13, 16, 16, 18], 'label': '8004.2.a', 'level': 8004, '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, 3, 23, 29], 'level_radical': 4002, 'mf_dim': 1452, 'mf_new_dim': 104, 'num_forms': 11, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 104, 'sturm_bound': 2880, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [104, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 112, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 16, 0, 8, 0, 16, 0, 0, 0, -8, 0, 120, 0, 0, 0, 32, 0, 8, 0, 8, 0, 16, 0, 16, 0, 0, 0, 56, 0, 32, 0, -8, 0, -8, 0, -8, 0, 0, 0, 24, 0, -16, 0, 104, 0, 72, 0, 24, 0, 0, 0, -16, 0, 8, 0, 24, 0, 32, 0, 48, 0, 0, 0, -16, 0, 56, 0, -32, 0, 80, 0, -8, 0, 0, 0, 64, 0, 0, 0, 0, 0, -40, 0, 112, 0, 8, 0, 48, 0, -16, 0, 24, 0, 24, 0, 32, 0, 0, 0, -16, 0, 16, 0, -24, 0, -40, 0, 0, 0, 32, 0, -24, 0, -56, 0, 0, 0, 56, 0, 48, 0, 16, 0, 0, 0, 56, 0, 0, 0, -80, 0, 80, 0, 8, 0, 24, 0, 48, 0, 56, 0, 32, 0, 80, 0, -24, 0, 48, 0, 80, 0, 8, 0, 24, 0, 16, 0, 16, 0, 40, 0, 24, 0, 40, 0, 0, 0, 88, 0, 0, 0, 40, 0, -40, 0, -8, 0, 56, 0, 88, 0, 32, 0, 120, 0, 24, 0, 112, 0, 24, 0, -32, 0, 48, 0, -16, 0, 88, 0, 40, 0, 0, 0, 72, 0, 0, 0, 88, 0, 24, 0, -40, 0, 72, 0, 0, 0, -56, 0, 64, 0, 80, 0, 0, 0, -72, 0, 80, 0, -8, 0, 16, 0, 40, 0, 64, 0, 8, 0, 24, 0, 8, 0, 16, 0, 56, 0, 64, 0, 80, 0, 176, 0, -16, 0, -16, 0, -8, 0, 0, 0, 8, 0, -80, 0, 48, 0, 24, 0, -32, 0, 24, 0, -48, 0, 24, 0, 0, 0, 16, 0, 0, 0, 8, 0, -40, 0, 160, 0, 0, 0, 56, 0, 48, 0, 8, 0, -8, 0, -16, 0, 0, 0, 32, 0, -96, 0, -8, 0, -16, 0, 96, 0, 16, 0, 88, 0, -48, 0, 40, 0, -120, 0, 208, 0, -32, 0, 88, 0, -80, 0, 8, 0, 64, 0, 56, 0, 96, 0, 8, 0, 80, 0, 8, 0, -56, 0, 184, 0, 16, 0, -8, 0, 0, 0, 8, 0, -8, 0, 128, 0, -24, 0, 24, 0, -136, 0, 0, 0, -88, 0, -64, 0, 0, 0, 64, 0, 24, 0, -16, 0, -32, 0, 24, 0, -8, 0, 88, 0, -88, 0, -16, 0, 8, 0, 152, 0, 0, 0, 0, 0, 8, 0, 120, 0, -16, 0, -136, 0, 72, 0, 32, 0, 80, 0, -48, 0, 208, 0, 232, 0, 0, 0, 72, 0, -48, 0, 160, 0, -168, 0, 120, 0, -16, 0, -48, 0, -32, 0, 32, 0, 48, 0, 32, 0, -8, 0, 336, 0, 56, 0, 8, 0, 56, 0, 16, 0, 8, 0, 112, 0, 104, 0, -48, 0, -120, 0, 136, 0, 0, 0, -104, 0, 256, 0, 8, 0, -248, 0, 32, 0, -80, 0, 144, 0, 8, 0, 104, 0, 64, 0, 104, 0, 16, 0, 88, 0, -8, 0, -32, 0, 40, 0, 8, 0, 0, 0, 72, 0, -16, 0, 16, 0, 24, 0, -184, 0, 64, 0, -96, 0, -112, 0, 64, 0, -152, 0, 48, 0, 0, 0, -40, 0, -40, 0, 0, 0, 16, 0, -24, 0, 48, 0, -24, 0, -8, 0, 56, 0, 64, 0, -32, 0, -8, 0, -72, 0, 184, 0, -56, 0, 80, 0, 0, 0, 32, 0, -80, 0, 40, 0, 0, 0, 208, 0, 16, 0, 72, 0, -48, 0, 48, 0, -8, 0, 32, 0, 232, 0, 40, 0, 240, 0, -16, 0, 48, 0, -32, 0, 56, 0, -8, 0, -88, 0, 32, 0, -32, 0, -120, 0, 112, 0, -8, 0, 64, 0, 40, 0, -8, 0, 192, 0, 40, 0, 24, 0, -168, 0, -8, 0, 32, 0, -64, 0, 120, 0, 0, 0, 168, 0, -24, 0, 48, 0, -160, 0, 160, 0, -88, 0, 144, 0, 40, 0, 24, 0, -224, 0, 24, 0, 96, 0, -304, 0, -96, 0, -120, 0, -112, 0, 32, 0, -16, 0, 16, 0, -64, 0, 0, 0, -72, 0, -64, 0, -16, 0, 32, 0, 56, 0, 104, 0, -192, 0, -96, 0, -64, 0, 160, 0, -128, 0, 88, 0, -104, 0, -56, 0, 72, 0, 64, 0, -96, 0, -24, 0, -192, 0, -48, 0, 0, 0, 104, 0, -304, 0, 24, 0, -64, 0, 40, 0, -104, 0, 96, 0, -88, 0, 72, 0, 56, 0, 40, 0, 0, 0, 176, 0, -240, 0, 32, 0, 40, 0, 280, 0, -208, 0, 40, 0, -144, 0, -16, 0, -16, 0, -16, 0, -88, 0, 48, 0, 136, 0, -32, 0, -112, 0, 64, 0, 8, 0, 144, 0, -128, 0, 64, 0, 104, 0, 104, 0, -16, 0, -72, 0, -80, 0, 24, 0, -72, 0, 104, 0, -40, 0, 16, 0, 208, 0, 72, 0, -32, 0, 24, 0, 32, 0, -152, 0, -168, 0, -96, 0, -168, 0, 8, 0, -16, 0, 64, 0, -104, 0, 48, 0, -192, 0, 200, 0, -32, 0, 192, 0, -72, 0, 80, 0, 312, 0, 8, 0, 0, 0, -192, 0, -184, 0, -16, 0, 24, 0, -72, 0, -48, 0, 176, 0, 64, 0, -16, 0, 24, 0, -104, 0, 16, 0, -24, 0, 0, 0, 128, 0, 96, 0, 16, 0, 56, 0, 16, 0, 112, 0, -16, 0, -104, 0, 8, 0, -32, 0, 208, 0, -16, 0, -32, 0, 232, 0, 160, 0, 0, 0, 160, 0, 56, 0, 0, 0, -240, 0, 248, 0, 80, 0, -8, 0, 48, 0, -16, 0, 104, 0, 16, 0, 96, 0, 64, 0, 128, 0, -8, 0, 8, 0, -16, 0, -48, 0, 0, 0, -32, 0, -72, 0, -120, 0, 120, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915673924, 'source_is_minimal': True, 'source_label': '8004.2.a.d.1.2', 'source_level': 8004, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915673924, 'target_is_minimal': True, 'target_label': '8004.2.a.d.1.2', 'target_level': 8004, 'twist_class_label': '8004.2.a.d.1.2', 'twist_class_level': 8004, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4632975
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13510798915673924, 'p': 2}
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id: 4632976
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 13510798915673924, 'p': 3}
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id: 4632977
{'charpoly_factorization': [[[-4, 10, 122, 107, -35, -52, -5, 5, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 5}
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id: 4632978
{'charpoly_factorization': [[[-6, 54, -145, 104, 56, -41, -11, 4, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 7}
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id: 4632979
{'charpoly_factorization': [[[-96, -264, 203, 273, -51, -91, -12, 5, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 11}
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id: 4632980
{'charpoly_factorization': [[[-1, -18, 9, 103, 57, -45, -14, 4, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 13}
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id: 4632981
{'charpoly_factorization': [[[-461, 76, 1521, 1318, 207, -127, -34, 3, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 17}
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id: 4632982
{'charpoly_factorization': [[[-3418, -5137, -311, 1799, 381, -187, -45, 5, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 19}
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id: 4632983
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 13510798915673924, 'p': 23}
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id: 4632984
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 13510798915673924, 'p': 29}
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id: 4632985
{'charpoly_factorization': [[[67344, 56346, -50966, -6831, 5804, -5, -144, 2, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 31}
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id: 4632986
{'charpoly_factorization': [[[-2944, -12715, 8258, 5604, -940, -677, -45, 10, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 37}
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id: 4632987
{'charpoly_factorization': [[[969324, -332022, -115226, 36043, 4993, -1142, -111, 11, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 41}
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id: 4632988
{'charpoly_factorization': [[[11216, -48741, 2005, 11113, 534, -721, -86, 7, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 43}
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id: 4632989
{'charpoly_factorization': [[[-54, -1260, -5905, -9897, -5917, -1292, -46, 14, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 47}
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id: 4632990
{'charpoly_factorization': [[[43448, 230316, 173102, 28941, -8435, -2774, -127, 15, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 53}
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id: 4632991
{'charpoly_factorization': [[[2324416, 32512, -357392, -11272, 15760, 548, -227, -4, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 59}
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id: 4632992
{'charpoly_factorization': [[[-712512, -619824, -90868, 46313, 12123, -319, -206, -1, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 61}
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id: 4632993
{'charpoly_factorization': [[[-8, -1988, 12017, -19118, 7472, -278, -169, 5, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 67}
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id: 4632994
{'charpoly_factorization': [[[-5344884, -3294291, -377525, 106124, 19819, -900, -259, 1, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 71}
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id: 4632995
{'charpoly_factorization': [[[7960224, -4849590, 42434, 237401, 126, -3903, -105, 21, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 73}
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id: 4632996
{'charpoly_factorization': [[[15902, -10257, -17776, 5080, 3614, -569, -191, 8, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 79}
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id: 4632997
{'charpoly_factorization': [[[-3977348, 3091546, -275138, -176597, 28215, 1478, -325, -3, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 83}
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id: 4632998
{'charpoly_factorization': [[[194617089, -61327428, -5179001, 1326091, 69665, -9161, -448, 20, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 89}
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id: 4632999
{'charpoly_factorization': [[[-85056, -245328, -45478, 40017, 8911, -1061, -184, 7, 1], 1]], 'hecke_orbit_code': 13510798915673924, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '8004.2.a.d', 'level': 8004, 'portrait': 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yCMZn5as2EqZbnn0xsJxonLylCweUqz1NWcvKAIXI/Ns7B9PmLT3JiNcyGb50K2bzLs3Ky4ZodLQ7U4drLDg896PH4w4ekTManq8y2v6PKOlxkaao6DJ6Y5dtbhzMWU8xm4Dy8abr1ugZ9+zwo7Nkxx9uI0F1YClrouy13JSj+lN0wZhoIjJ5Y4fmb1mscPL7zywMmLuw+fXvjCS1//zui+L/7JCw2Jv9DjbzSDL690QRsQvPfBJ4+87Cd+5RPybbcdftk//wdnnMXVTaz2Wyx3A5a6Hktdh6WuYLmbstyNWVpNOb8KR5YE8xtW+Q/ftcRtVzY5dWGWsxdbnF10uLBkOL+YcHoh5WI/YXp2zMtvGPCSq8GTDXzlc2E54Nyiw/llwTCEJNEEnqYVpMxMJWjgxPmE3gB2bXJpNUKMESA8BiPNzs0hS6sOGCtFVgcQJmAwLHcjtm106Y8UQhmEDukELju3jFkdCk6cdUi1w1xH0g4EvgtJIhiGkvPLknNLhgsrCb4/BjfhpdcOeNl1gvlOg6WVDqcu+JxdhAuLCReWE84sw5Elw4uvXeRnv2uFzdMdTp6f5fxSg4UVj8WuZHk1ZaUXs9xLWelrlgeCc33BwvKQX/qxMHn3q1v3e3Pfr/3O1fdrzU+6jsAPOi80VC75+BsbZP7X3/hTZmemOHtu4ec++dm7f+yTX3zMP326x4e7hjfeYrhxzyogSbUk1YJUC7R2MEZhjRUQIkUIw9GlGf7DhwU/970XuHlPRLsxS6vRptP0aTddpjuKC0uK8ysOX34g4LP3JVyxY8jVlyUsr4y4ZkfId75JEycKgeHPHwy42A1opCHHzykGgzY3Xp5ysZew74DLlTskh87CS6+Cbh8i7eA7ERtacPBMg2YjxlcJU23Bah9uv6bPkdM+V+7SHDsb8twR+/PcHWOOXDBMtUOWexGf/nITIxRpmnLnTUPuuNlwftXl5r1j9m51SeIOw1GDfUcDzi8KFlZSLq4kXFjWnFwWXBhE3HTlEv/uHw2Y78xw4tw0F5YaLKy6LHUlK92Ubj+mO0jpDg2rQ8GFoWKpH3PrtSu84uoVZzyYf9Wps39Ca8PL7th9xZ3aDzb81NHn/oTLrnv3Cw2ZdR9/Ixn8dz/8MV53+zb14c8d+nenTl34qQOHj6vlbsziyOF033DNzvP88g8tcNPeJheWZljqNlnuBix3XZZ7Dit9WOmmrPQSlvsJi104tSJwGmPuuG6Zb39VxJ6NLVYHHS4uN1hY9ljsCpa7ViKs9DW9kaYXGobjhLlOzM5NGhD4ruH0RRchfXZtVOzZati6cciFlZCnDrW55QpDs7HCs4dnabcioshlbkYzGsM1O8f8wVenuWpHQhgaNkxJ4nREO/B57viYhtvipisTnj4acWHJY9ucz54tsHNzhFIxpxfBcw1CGHZtSphpS/ojn8HQpTd0We4plldhqatZ7qYsdlPOd2FpnLJz24Bvv3ORO652CNwO5xY7LK4ELK46LPcEK13Naj9mpZ+yOjAsDeB8X3FhNeG2q87zCz+0xN4tHRZXp1haDYiSFtMbdqXN9qafO3T+1p/dOn0gvf3lb3+hobPm8TcK4AcPHCRoBI2zZ07vfPixZ9998MiZ/7j/0Gk0inEM3ZHg4lBxppdwy2UX+KUfWuLGyxpcXJlhabXJSi9gueey0nNY6UG3r1ntJ6z0E5Z7hgtdwdmBATHgHa/o8pbbNJdtCYiiJivdgNWBR7evWBkI+kPBODREiSFNQUmD70LDN0x3DBtnYxx3zJFzEc8c9tFJizfdHuG4qzy2b4rdW+BzDye84nqfi90RgaNI0pjZGUhiF8dNWFpq8vKbe3zugTZ7tsCjh0JcmrzxNk0iRjxzJOXY6QBHemyacZhpCRq+wPMESkCiIYoN4wj6Q8PqQNMfalaHmqWBYZSm7No+5C0v6fKOl0Wg2yytTnFxuWH1ds9hpQur/ZTuIGE1A/fyEM71FAu9lBdfeYFf/KGLXLurwcXlGVZ7TXpDj1GoGIcGr7kD5W39txs2X/0n27dvOxmOx6PLr7zqhYZS8fgbA/CTxw8xv3HeO3zo8PccOHj4fQ898qS4uNiX48gwCjXD0DAYw+rYgvxcP+a2yy/yC9+/xM2XByyuTrO02mKl57Pa91jpO6z2Bd2+oTtIWe0ndAealYHhYl9wrquZmR7y+hf3eenVCbs2KToNl14/wHcloIgSidYCbWA4BoRmpj3m0BmDNhF3PdoiHDa4fJvHHTcMifUq9zw+zU1XuBw6P6C70uElNwz58mM+m2YN+04Y/s+399h33GfTrORLjyvuuEaxPOxx9NQsN10Zcc8zI5KwyUuv9di7Y8woGfDFxxSkgiOnHTpNB0fAcCTRRpBqQ5wAUuN4mu7A0GrH7NgS8rJrhrz+loS5VsCF5SmWVhus9Oy5WekJugPo9hO6g6SQJctDyfm+YLGfcPtVC/zc9y9w456AhZUpVgdNegOf/tBlOHYYjiX9kWAcN/Tuvdeb3bv3/sieyy7/naWlxeiaq698oSEF/A0BuNGhTOLRW5974jOXX1ziFx98+DF3MBIMx1YijMbaJmhCTX8kLJOPJGe7CS+95iLv/f4FbtnrsdqbYmGlTXcQsNr3WB04dPuK7hD6A0NvmNAbpAxGmu7QsDAQLAwgTkNuvGLE5tmUwdDw5peE7N6sSVKJIw1RDHc/FXDyYsCWmYRnjwSgm1y9XXHzVRo/GPLYoSELiy2u292iM73CA0+73HpFwNJwlZWVDps3Gx7ep/hHrxnwyD6H7RtdFgddVpZnufmaIQ88mzLbmOa6ywdc7HZ5+PlpGk6LF19luHLnGOSAp44JNs7GXFiIuecpl3GskBJSbdi9JeL1L4noDxRbZzQ3XwFR1GS522S567M6cOkNFd2BpDeA3jClN0jpD1N6Q83q0LA8kpzpCbqjkDuuXOBnv2+FF19hb45uv0FvaMHdHzkMx4rBSDIYCbqDlN4g5sYXvTgeRupf/+Pv+PuH2+3mpwPf1S80tl7wIDMOh0RR+F2LZx7+5eWLB2bPnO7TaUmEkAhhEAKkSBBSgxAIrAaV0iClwyMHN/GTH3B4+x3LfMdrltmzLeL8Ugffa9DwPZq+S6vh0G9I2iOXqZbDcJwyGKVsCu2N0x/7LC8EnD5liBLNmfMJvm8AgacMjhQMRwqBSzJ0eNFuwd6thp3bhoRpn88/oth/eIY33OJz8zUr/O7nDZ5osnvbkKcfUGybVmzoDAlUgyh2udiHVuCwfZPgyf0RN1/Z4FU3LfKhz4zw3Davu93g+kO+8nDE5x5q8fyxBpdtbbJ7S8r8TMSeDTHX705RSuMoAxiavs/8tE8Uu/SHHs8echmMHYYjxWAsGYxgMDYMhvZv749SBiNDb2RYHcHCUHFhxdCc6vKjb1rgH9wRcuNlLc4tdugOAvoFuFUJ7rEloXFkCGP46j0Pu04w98ubNj+6/ObX3vZjvd7wQ51O839dgIfjIdqI7zt99MH3nj7yhdl+r4/nBjR9gdHG2m0ohABEihQghe2kUdKgZIonJU8fmueJgy0Onb3I21824GXXjplud1juNmn1Ajojj8HQoZ9d7NHYYRg6jEPDONJEsSGODUlqjyjxMBqkEriOIPAE023BTBs2b9Bs3zRkw0yXLzwG9z7hIvUUb7jF5UVX97nv+Zho3OGOFwm6oxEXl1q89ErNhukhDcdnnCgWejFKC150pUOzHfL4gYBX3jzFS27s8/gBBWaKW671+N5vWebLT0Z86ZEW+04G7JxXbJ5tMNNuMtWGhg+uY1DSuqn7jgnSVBAngiiBMMb+jWHKKNSMQ81wrBmGmsEIeiEsDCQX+xDqMa+9aZm3vqzLP3ydJkk6nF9s0RsE9Eceg5HLYKQYjBTDsWAwFoxCw3CsGY1TwkgzjgzLC+f4w49+flaR/L9v+3uvcgaD4QdarRcO5C8YwEfDFQT6e48fvv+9Jw99aWMS91HKxXMg8HShfUEghEIIgZJk4AalDI4yuErTcAWLwwYf+ep2vvJEj1dcv8p7XrvK9XsGzE03WVpt0h/5DEduBmybzh9HgjCWxIkgSexSn1uMShocBwIPmg3NbDtm28YhCQMOnYn543sCjp5qMe03uPVah5fe0OPhg13uerDD7VcE7Nwy5A++KlDCp9OOWR2EaANKwHxnSK/voZMGb33FRT7yuSZ7LwS85fYhUbzEPc/MEacBt127kbfc2uOKHV2+8viQp081eeqYx/ZZyWxH0PQFnmtvQilACIM2oLUhTrKbNTaEsb2RxxGMIuiPBSuhYLkPwhlz01WrvOf1q7zi2pS5ToOVXpNuv0F/6DMY20K1fCUYhpLRGIb5jTNOs59tSFJwXZfuapc//viXNgrBe9/8hpebhcWV357fMPO/BsDN0n/i7NLVhIuf+O7+IPzF5bMHN0hW8V1FnGq0Z9nI2HxkJlEEUkiUdJAyRSmRLc8aVxl8x9BwBCtjxVJ3ho/e3eKhZwfcceMq73ndKjft7TKXNkgSn+E4YDByGYUOUayIE0mSWi9dGyuBpDD4nqYZJPhehOeGnFkK+cyjksOnPY6dnkFpn71bPK7Zo7jl6h7KX+CZI222TTe57jLYPL/Ccq/D9dskiTZ84RGfcCiZbiW88bYxn74n5uT5Nldd7nJudcxzR112bJrhxj0L3Pd0nweeE4SRx9V7Zrl6h8/V2/scObfM4TPwyP4mh462aDoC35G0fEPggpQ2qDLG3qxJClECUSoYhILeWNCLIdIJ2ox58RU93vP6Hq+4PmXLrM94PMVSN6A/8BmMPYYjh8HYSpJRKBiNJaPQ9o2Ow5RxZFeGUagJI+s4xSmkSE6d7/KhP/7qxkf3X/xFt9FKfun9n/3dB547w5/8l+/7uwvwf/ne/w6zn8DvmX8o45O/kvYWpluejys84kTjxBop7EcSAgs2KZFSZqBWKCVwlMZRKa4j8ByN5xp819D0UqYDQT90WenN8LF7O3z1qTGbZoa8+84uV+8YMx4NuG6PYcdmRRi7pGmZ5re/T+M6KScuGI6dF6yONJ+6r8mZxRlM5DITKLbOOeza7HDZNrhubw8tF/mtT7dYXp7i9qsdrtvb5StPCUTisnFG0momDGMPaSQYiXI8umPBhWXBtabJnbf0uf/xBls3eNx+3Sz/9FsW+Z3P9XnkQIvB2GVptc2erQ2u2jLktiv7fOsr+5xdXuZT9/ksDX1OnHM5c8bDVQIpJQKBNoZUQ6wNaaKZmYu54dohYRhz9Y6Qd94ZsnFKMdv2ieOAcwsBw5HHMLSr3KgAtrTgDgXjEMvWYco41IyjlHGUafDIMI5hnAiiGKLU4fyJHg8efnDD7p2bfuUlN83Hf/Jfrv/DlZP/iZmd/+bvHsB/+D9+hLnbv13843+l3rW988z7v/2VzzSv3tlEqRajUBPFDqFykbIMIoWwLoGUoDKQO0riKIHjCFwnxXMEnqsJXEMjNjQjw1SQMtMQDCNJP2px7HSLX/jDWdAJIkm45YYhezZHJAloozHGJnGkEEglcFyPAyc99h0OaAUObU+yoSmYn5NsnHXYOq/YtSXlql2rpGKJX/14hxMnp7n9Sperd6eMkj4PPuMz3XCZmzJMtyOaDSuFtJZ0x4rlgWGpm9IdNHj5das8um/I/pOK6U7AbddO8/1vXeLXPgGPH24xGBlW+w4Xljts3tBk48yYXXNj/uW7hnSaXZ4+BgdOSVzXoJRBCA0Y+/8GkgR2b0654/qENHaJEx9jmowjl/OLHqPQrmjjSBXybRQJxqFgHFnWDiPDOEoJQ231dqyz97IjhnEsGMcwSgSDWLIaw2AQsrX/+PTbb5t7/68tXkxG/PhHu6dnzNT2H/m7A/B/958/wrXbp9RX7/69dxw+ufq7H354JXhy/zS/8MM9rtye4g5TRiMfR2mU0kilUdLNAkmDUirT2xLXsZrTcxWhKwkjjR+lhLGhEWvCWBNFhk4CYawJE4gSwTiWhKlPnAbsP9ziqf2QGoOFttXGrgRP2ZqPtg/XbYFOA6Zakpm2Ym7aYeMs7NwcsmV+ldgs86sfn+LI0Sluvkxx2XbJ3u0rfO25hAtLU9yyRzLT0QTeCF/6GCVIUokwhiSNWBkEXFhyufnqBi+6ss99jwdsmhE0gzY3X6n50Xcs8Suf0Dx3ps3qQLPaVyysOGyYbjHTaTDTmaLTjJlvxey6OcJ3E1wnQakUKWwwYbA3VRwrLi44xIkiThRRrAjj7DmShLEkjCTjSBJGwgaokSCMDGFkz2sYpURRpuljkwWWFWDHgkEs6CWCXmSIxyEv2rnEe39okdded665utz43Yjf0OP0mo+fOfg76bYrv+dvP8B/7bf+iJmOp46eufDOi2fOfei5g6cCpzPL5x9xcd8v+NnvX+Wa7RpXJQzGKUqlONLDkQalHJQ0uMrgOgrXMbiRxHOFvQiuIPQUUWyBHseGKEmtK5JUjhSS1JCmmlST1a1QgFsIUBIcCa4LviMIfEHTl7SaiqmmZGZKsHE2YdfmIe3WKh+/P+KeZ2ZZXexww07Fri0uV+wYk4pVvvBIk5brMD+jaDfHPHMEnj/qcP0OwzBU3HhFzA17DefPpSyseIzGTd50a5+vPz3i0BlFqyHxvQ7XX6b52e9e4u7nRnz67g0s9Qy7NqasdB2mO4qplku76dJqGAJf43sa30lxlJVaMmutNAYbtGtBoiVJKkgSQZxIokQQx5Iwts5LFAui2BBFEMYpUayJKsQRxtXDgnsUwzAW9GNJL4FhmEI85Oady/zM9y/zxlsNq/1Zuv1TQapmfz/izD+J9MY/ffKhP0lveslfbw3LXzvAAw/Z7fW/4+zZs79+/OixYEvLZSGUrNLhzx+QRJHinXd2eedresx2EvrDACVTlJPiOC6uk+I6Dm7s4DuKsZuxjSuJPEEUC3txYkWcQBRL6yAkpe2XpJo0te5CajKnpCjIEpkEsrLHcwS+Jwl8Sash6DQN023NptmQ+Zk+iVnlo1+X/M7n5tgYBNywU7Bzi8vurZpdW1b4+IOG5eWAqzcrZjrQbsZcOC65uOLj7YEwFsxPSaan4dAxw0pPc34x4IrdAa+5pc9n7g2Ya4PveSg5zfV7BT/wlou48iJ/ft8Mz58J2NSL2TidMNVStBuKZkPS8B18D3wXHMc6TNZWrYAce2OnGtJUkKRkQIc4NUQJxHFqSSHWNmjMAB7FECa5K5NZkImwrJ0IerGkH2uiccyU3+Pb37jIu1414LU3SVb7HfrDBqOwwUr3VBCr9vvdwHeEcP8IyzN/OwH+mx/6BHGqv/v5A0d+6eChk52Gr0iMYVobtFH0RIsvPKJ48NmAcyuL/J/fOmCmExP4NuPoqgTXcXEdFy9KiVwHL1aEsSRybSrdMo6wTJSxUpJgo/nUOgla24BLa5P3cGbgtgC32l7gOhYggQ/NQNNuJEy3E+anR2yYWeX+/RG/f1eDA8em2T3lsnczbN/ssX0TXLWzxzDp8fC+Dg3lMj+jmG7DdDtkZirB8xyEsDfXKPRY7sWsDg3dQcLFFY+dm9u85OqL3PXIkANnOjT9GFd5CDHF3m2Kf/y6RV581UV+/642Dz87zdLAYWMnYbqZ0AwkjUDhuwLflbiujVWUIrMPLcoNtodVawqgJ6nOVrfMWkw0SWrBncQQJaY8YuvKjBNLKsNE0I8F/RRGowSdjJhr9PmRb1vi//7OIQ3PY7XXYjQOGEc+YeSSao/V1ROd9pT51d2XXekdevYTv3PF9X99RVp/bQBfXO6ipPy+//Hbf/beZ/efngOBAFwFTdegjUYISb/ToDuW/NKfuOw7ssJbXzngzpv6bNoQ0us3GIc+npvgey5h5ODH1t6LPAvwOJZEiV124yTztFMy64+MuaW1HnNw2yRlxtzgKJsw8VxD4GkaQUI7SJjphGzZ0ONCd8j7PuXyhUdnWV5pcfm8YOdGwbaNHts3CvZsHeN4q3zkHoejp1pcuUky05ZMtVKkDDmzYPAdiRRgjCCKHXZt7PEIKb2hYqVnuLDc4MrtAd96Z5c//YrH8Qs+rhMjhIs2LeJEcsueFXZ9Z48vPD7kD74wy2PHW2ybEWxopbSClMAT+K7Ac22s4qjMYpWiqMkw2JtMG6zTklrA5yBPUivpLNghSm2tS5QnjxLBKIF+IhkkMIo0yTBi+4Yer7p5hbe9csibXqxxRJOV1QbjyCOMfKLIIU4lBkHDN6Thibk42vqLV9zwrSocdz/gB389E7f+WgB+YaGLo9x/+pFP3vPeex96bmOaGqSyyQhXmQxsll0cIeiJgF7k8pGv+dz9dJ+br+7xna+1VXBz0z6jsc8o9PBdlyhxiWKnCJSSRBGnkiSRxKkgSSRpKio14lZ/FqrEkHnrNlmksmSR52p8L6XhJ7QbIRumB4ziEV95xvDHX5vi4WenmfFcrt9m2DIr2TTnsXVesn1TxGXbVnj6+IhPfX2eKeUwPyXotASdZkx3mPK5BwPani070AZGocNb7wj57EO2JqY70Fxccdi+sc3bXzbg4f199h3yaPkJSgoLct1kHFmt/49f0+XKLRf5yN09Hnh+mpMrDTZ3BFOBoelpAkfjueCoLDkmcyaHvPxIZ1JN63KFSzKgW4KAOBXEaQbsVDBOLGsPUmzME0W0GkO+/Q3LfMfretxyZcqmGZfhuEW37xPFHmHk2iN2SBKFNmSxgaa39PTGlXOz753f8VqdRCsfdLyZv9kAX1lZZXllgOfwXX/++Xv+88c+9eW53soqjcBmIEQBMlM4F44weELQVw5Dt8Xpns/Zh5o89MyAP72hzztfM+KNd4yZnfaIQp8wcYlilzhxiDOgJ6kiSbOETVoCXJuMuXVZU5bXtyhp6zgcR+O5Kb4X0/Aj2o0RKSO+/LjkD786zbPHphCxz+4Zw5Zpw4Zpxfysx+YNkq3zMTs39zi10Oc3Pt0iCRts3y6Ybjt0WtBpxgg3ojdqMd02CCEwBuJEMusrEp3Qjz36w5SVnuLMQoNrL2vzg39/lV/8I58TCy0cFWc3hkOSBIwjyeY5n1su73HDZQOeO3GGP/5ag7sem+Zst0HLV7Q9aLkGzzG4Chuwyzy3UD40YLS96VItSA0kqbD+eSqIUpskGqWCUQqjxJAkCToOmQtGvOm1q7z7tX1ecX3MVMMlilusdH3C2COKLRHlh3Vv7DUyWmBQDHqrHNn/lY3j0PvP8zvuSLqrp3/PcTo0W391bP5XCvDhaMTcbOttX7//0V/73Oe/1DFhl6l2VktiQMsy8LHywBTuhZdqAiUYKo9h4nAxDPjzh1rc8+yQ27404J99W59rdvbYOK3oNB2i2CNKXJKkBHmaA1xLtJEYQ9anmYM7S/UrY5NFToLvJbgqojeKWejF/LePBxy7OMPj+6Yx2mOuIdi4wbBhSjDXUcxNu2yak2yeS9g2P2RueoUvPKF57PlpbtgumGlL2k1Jp6lpNSKEG+L7Do6yv98YSFPJKHQYjWMSLeiPNP2BYbnncn6pw0uvGvCSa1f5yJcCGssKR8YWkMYhST2i2PZ4bpgOePHeAS++fMAjrzrLiQXJ7981zcXVJqeXfDwlabkCL5dh2fkviDyXKlgmT4wg0RBrQZjCOIFIG0gTSGKkCtk6M+KGXfZ63HpNSqfhkCSWscPYI06cjICUlSWZLRknkrhCPhiIRUBvGHFx6e65y8f+r+3ae8tKOB596q8Sk39lAD9w4BBbt2xWv//hP7r82ecOduKwx0zHQessqMlYQhfANjgSHCmsx50Y/FTQVIKRIxg6PqPUZSlqcNdjU9z//IiWH/JP3txl+1zC7q0jXnpdH0co2k0HIaxcsVlJWytti7UycGMQ0qCE9cwNCciE545JHt3v8JmH2zx3sk2UNGk7ivmGYbZlmGka64N3HGanHOamBZtnE7bOj9gyv8I9z4b81mc2smXaYb4DnZai0xK0mwkNP+T+g4px5OC2LKiMEUSJJHAUN1054qFnpm3h0yhlteeyuOpzYXGGH3zLBU4vLvHQk/O4EhAxGkgyAIWRZDBymGkHTHdavOTKIa+6Ych3vnqB/ac0n3044OH9DQ4ebZEIhzBUDGOFEhIhxETgmeUEjCbRBqM1rkiZ8iICYl5y84A9W8Zs3xDznjeGNDxJq+ESRU26fcvWSaIywlGl154o4tiydlESUayupXU5Gg/oPnJ/58zZi5e//k3vVCeOH0l37d77Nwfg+/fvY+PGOe+xxx77Hoz+pW5vmXbLtTd+aki1yQBuu2OktNowUQaVGlQCrhR42uAnhiAVNJ2MRVKXUeoyTAP6/ZT//JEZTBKzaX7MtTvHzE0lvPM1I3ZujIhjkeltCRXmJtOfUmqEFHzs7gZPH2khHIcTZ5ucudAkaCimfMF0y9AJNJ0A2g3BVFPRaStm2g5z07BhOmHT3JhtG3ukZpWPfb3DaNDiiu2GTlPRbkraDU07SHDdiC88FBAOJe5GkBmY4kTSaijedNuIe5/QDELJYJTSGzqs9h3OLzW5Zk+bd76ix+PPNTmx3EZJDcSZXnaJU+smjSPJYOzQHXi0G01ajZBrto+5/aoxpy52OX5uFcdNeeqow59+rYlQtnCNyfmDRgMajCGOUnZtSnj3a0Zs6KRctcuwaQ7SxCWM2iSJy0rPJYkVcVquoHGcPScqi4nyQjZZ89/z2CjVgiQVRLGkt7BCZy75paeefHy4bduu3zmwf1901dXX/M0A+JnTp1lcXLjyzJkz73vyyUel70qUFCTKlABPDYkWpNLgKAt8lQocaXVinBrcFBIl8FNDoI3947UhSgWhloSpJNIusYaFQYevPa0xpHzyYTuyAaOzI8/iZRaZyCsSJVIpkthBagfXkbR92DNvaLmapq9p+tD0Ba2GpN2wcmiqLZnpwNxUwvxMyNb5Pikr/Lc/C7jvmY3snYOZZsbeTUm7kdBsRLSaIxqNJr6SKJlpcKwciGOX8UgwClP6oWIw1vRH2rbMtTxOX5ji5deG/Oi7LvDLf+pwctVHCI0xMTo1xIlLFEvGoS1jbY8cWoFHsxHQ9JsEfky7EXHLFRGeG3PrFQnvee0QRyVZEkgjhKmL8kzSaW3r8X1XAR7j0GFpxbF1O2ke82RHIssYKMmO1II7yYL+JBXFkabC4iAtvfg4tcmlhx9+VCaJfN9gMPx6GIbP/lVg8/8zwL/8xU/SaanGsWOH33Hg0GHhew5aC+JEo6RGpRm4M7ZOlSBNDUqBk+ZeLDhZ9J7mEX0qSLQpI3tt9aE9BJGWJEaSaodY+6SZ7VV9FFnKzK1xpLUpg4YhcAyBSvFd8B0IPEPDFzQ8SbMhaQaOBXhLMN3WzHYS5qZDNs4O2Lpxid/6jOYP7trEjmnFhram01K0m4pWE5qNlHYj5tyS5sg5n8CzsgzySj/BOHLYs1mzecOY3thjNDYZi0tW+w7tRkC7Oc17XnuRo+fO8/5PbcORDgZNqlMSbYgThzBSjCJbFDUMJM2xQ8N3afgp3b6NMTw3tQkzN8WRtlFCSpvOF9lBVsEJIgO5oJtNLNA6m16QSrSWJLqMdyxwK/IjzdystM7YJbizQDbNrnEKcVK+fuKpp8Tu7uAdO3bsOvKnH/uz0Tu/7VtfWID7geutrCz8RK974SekCWUjsIkWqSQqERlwdQZu67WmChwtikSMo6xfnebJB539O03lMGWaPauUs16uKAKlquYGKg0S4EhtNb+yK4arBK5jrG/sCAJfEniShq9oBIp2Q9JuGqZaKdPthNlOyIaZITs3LfHwwZCP3L2VmcBnU1vTaQoL7oakFWhaQUK7GfLwAXhqf5PL502me8u0+ShU3HqV4YqdIx55dpphaBiNUwYjJwO5SzNo0Aim+fZXLvPUwYs8tG8zGIXWqS2HTQxJbIp6klHo0BwbGoEi8DS+5+J7Kb6jcZwU19FFvY+SWVeUMCBscXJOC2VwbkuIde5I6dx+rVixGbCTAsSyAHK6DmsX4M6ILc2yqElqfffBaCDVqbP/zvMbXqvV/jkgesEAHo6HMgzHP/OVL/7Rj/VXz3kN37FJAgkqEcRSWCmSCFJlMuDqIrmQKoOTSRh74kwGdFHJPmLZOQO5zjJxebLCGEMl815bceuOTZaOV8ICvCjastk/31MEvqLhC5oNQbth6DRTploJ0+2QuakRW+dXeOjAiJ/50CZOnp7msg2a6SZ0GopWQ9EKoBWkNIIYzx3THRuUVLjKIGX5ySyjSeLEo9OIGSaaYVZnPRyn9IeSbkPR7PsEfpvdm2N+9nu6/PvflTy4bxMGhTaaNNUkaUKUaKJYMY4UI1/SCBWBJ/E9g+8pfEfjutbvd5SxAFcW4CqTKUKYeoNulto3GYmYLCBMM8Cnuny210wWJQAFwLXIvs7/5pLIkqI+yGZT8yxqnMLR42c812/96x/4vje6g+Hw37aazb90Ov8vDfBw3MWY6OdOHL77n497x4N2UxAlBhXn2TOQiQVVKq3cyCWKLkCdZ9JKkFeBXbovYLSxXeRZkqh6MAHwTHZngaWVKEoKK4sUWVpe4DoS35N4riLw7UiGhm9oBZp2M6XTjJlqR8x2RmydX+Wh/UP+/e9s4MDJWXbNWoel3ZC0mtKyd8PQDFKaQUycRnz4S22kUrjSoERpE2qTL+Eu//gNK3zxsYh+5DPMAD4YKfoDRdd3CDwf3+1w1Y6E//i9S/z07wgeeHYT2khSrTNw2EKzMNKEgS139X1B4Ap8z2Y2PccUGVtHaaQyWYeUsY0SOcDLlCeQN5/YXIJ1W7JAPgdw7ogUybUM5MXKK8rVufKcr9JJqrO6IftsO5EEzzx/LPjEp+/+F9/6tteJ5ZXeT87O/OWmZ/2lAT7q7sdgXtK7+GAj8IYY4yIjuwyLHNzCgipJQaXC6u8qqFODVhRg1xWG1rpsv7JAF7aOIgd1fuInPlcO8LwGQxX15KKoI7cAl7iutPUbniDw7cyTpp/Salhwd1oR050R89NdHt4/5Gc+OMtzJzawfUYw16pIk8ChFdj6lUaQ0PAjXDfkzNIMrhIoqTNbrgwy01SSJIotM4YkienFQdYpY3sc+2NJY6gIPBfPDXCdKa7envAf/+kC/+a34aHnN5JqaQGeGuIkzZhcE/qaIJKMPVVIMNcF17ESzdapWJtW5t549rwOxq1cIUsKIYrkkM6SQ3m2OE0r71flZQHssiYozWtgMqlla2FsDUwYGfqjkE/f9Whj5+49LxHyL7/jxF8K4MMLv4/fWGiePPwFzxF9As8n1To7EcL+n5B2CUwtyNJCZ1tG19qQOhRgrwM7lyGmALrJ5Uj++hKfTYqyiMo2S4gC3ErKrFEilycQuOB7mkZgaPhWPzcbMZ1mxHRrxIaZLo8dGvPTH5jhmRPzbJ1WzLc0Uw1BO5A0A0WzIWgE9uawqf6Ih/YJBmOPQJHdZKJIeOWBZpw4tALFS6/r8/BzHYaxlSmjMGU4UvR9he8pPNfL9PM01+zQ/Pz3X+THfxMe2LeRWEtirbNm6bIHM/Qkvqcte7tlHb2j8oNMppQyTmZZ3vVAnieFTA7wDPBp4byUBVzVlVdnxkG5StcJLsmL4rSVKVGcVTWmgovnuvzH933a+773vKb5c7/xqeFP/dDb/voBfuHsSQbOjunVcx/8jXAUvTJJ7UlylUErjTESAZm+gyTTvxbY2Z3s5EsaaCXWZ+0KoHUB7LIpmEx7FxdD2IIiITNwZ0VGqgA4qKxi0HXAc7GdQF5WYOWnNDJ50W6ETLVHzLR7PHk45Kc/MMNTxzeyedphvqmZakArELQaimZD0SzYOyXwE9rNMfc85bHaDZiZKdPkOWB0pk3jVLFxTvHaFw2451Ftu2giXQG5JHAlgevgOh6O00BKzTU7DO/9/ov8+G8aHjiwkVg7xFkFoC17tUzux7KoLvQcieNkRVhSoJz83FB8vvwmzKWKyKvSKBNCk4euPGtdeS5W3spqbaoAzxm9WtZsCm1uDBidEIeDVx49cvK3f+ZffMcP/aM3H1+9bM/uv16Aj4dnkOHFHz92dPE7wl6EclwwFtCOYzCZ2WS9VoFKLchtUFnqMq2qOjsDe5acydm7FkhOMneG9DwjV2hvWcYAue7OKwYdha3PcAyuaxuLA08TeCmNIKEZxLSCkHZzzOxUl8cPhvzEb27gyaOb2DjtsrGZMtU0Gbgz9g4kDd+yf+AnNP2IRIf0Ix+hJG7O4IUGFxm7ZQVisUvLG9tygShgJgf5OGXoWQb3PWlr4p18A1rD9bsNv/hDF/hXv655YP8mYu0QpoIo1RmLC4JY47sGz7W9q04WdzjKlgjbNkB7nqxMEZUV0J7V4sasxjoT4C5IqEJMVXDnYC+ZvCzwSnVZxZgXeemsE6XlC+LhEktnTn7Hvfc/fiSM4v/pZs7/KYBfOH+GRnvrriNP/eYN0egM2riYNLvPhfV6jbJ6U6SWRVNpT6YNLDNtZirgzoIUkweTpgzESqYos5KmumbmrF0NKvPlNqtxUVkw5ThZZ1BWhJRXDwZumunmmEYQMtMZMtXq89C+hJ/8rQ08cXQT81MO842UqcDQzsDdCKydmIO74acEXkKnFbHvuOHux1t4UuIqnQVxpUeRL99xqki0w523xFx+2YAjJxvMNyn7HMOU4ThjYUfhOGUbnxCG63bBz//AIv/mNzVff26ecdywybDE0MxquH0XC3InX710JlEkUqXFCqekqABcVEDOGr1SgtzUAW5KWZm/t148VWS20/LrpKLV804rV4ESikNHz/L5Lz96w//zUz+w6/Sp0ye279j+Vw/ws+fOEzQ6uw/uf/S/Xjg/eJsehyilkBnilCyjcKEtwHJJonWW4JlwR6rPpR2VLeOTLskatyRj7klwC4NUuS2Y1byojLUdg+doXFfjuxrfSwi8hMCPaAYhs1NDVvpD7n0Wfv4PN/P04Q1syMA93TC0G4JWIAqv3Dov2rK3ZwHe8EOiNGU8CgiUvcmkELVKvjyRYgNNx2p5JySMDKNYVACu8bwUz3VwXYmjVNGrmmchb9wj+PkfWuE//1HCA/vnONvtMG5JplNDOzEE2cQB3zWZ9587KaZg71yq5AAvPm/2oas4LxRidlHKlbVSflsFe+W9/DpbuVJpRDH1fIfW5S90HEE4HpGE3bc9+sjD6Y0vuvFfXLxw/vjGTZv/agG+dPEUAz+4/fyZg+84deI4mze4KKUL3WtMnhUTKCHQMg8mc2DnHiqFzWSTNKb+2tT1Xp2166owvwh23EPO3qasVCyGA9myWNfR2ZiJtAC372Xgnh2wsDLivR9u8qkH51kczDA/JZkPMnAHVnc3s8Cy4UuavskY3GrvwI+AiK8+6bESe8z51OqxEfUVKk1t80PHd3jNzUMeOhDRj32mio51jRfaWnXPsQB3lEFJFyFtggYDV++Q/PI/6/HZh0b83Ac3cXpxhtG0w7QnaCeaZgJ+bEcve8oONHLzQFOKIgjOn6uBevXGFKLoFSlZvLhWFbBX3C5dkZolk1e1esnoVbIrrrOAIFAcOXKIp57Z/A4vaH54NBod/ytl8HA8xPMbVxx8/sH/q7f4LNMdikSBrWko7+qcnbQGpctMWKrzFHAG5gLUuQQxNWlSY+2qLMlOdM4sebo5dwFUDnBlcKQFtqMsuF0nxXNTPDch8GJ8L6bdGOE4Q+55KuW3P9fhM/dtJNIdNnYEGwIrS6wFmPvkKjtExtxV9o5xnJD7n59mGDlsaeafZ5LBcytNEieKwFW85JoRibYAH8XCdq3nneuhtsGhIzIWtzeyyOIdg2DDtOA7Xj2g7Z/lg58bce/zc5yPGwwDSScxtBxjQe5kcYgyWVxiMpDn51CUteMSJCWLV3cUrF6Sgs2pr7zVOMrW5VNndLN2Na/GWfmv09o2N9/74NPsuWzv//XaV7/8ieFgeKj5FxgJ900BPuod49Thuwgana2j1cOvaroLuJ5r66mlzuaX2L80twlNoa1FHczZe/kFrmltSq1dArty51TtK2EmpIkpXBsp89FuOqv5zsCtbC2G78Z4XkzgRjSbYzxvyB/e5fALv7eRIwuzuH7A5rZg1k/p+IaWb4Odpm/T+IGfSxOT1a+k2Upg5cliL2UQeXhK4UlTBJhU/pT8xk6zmo0ocWm4YzZPj1gdthnFIhu3ZmMF100zm09ldqcqznsZuNrKx7e9YsCt1y7w878/5g++MM9y0mLou7RcScexNTi+A56iaIZw8qRPtvLJQqqUCaAqqdTFynpszjpgp6LNJ44quE2laECU7J6kkiMnV7j3wX2vWuklW5dXuoeeO3CS667a+f+RwU3Krstftru79Oxv6dGTzE4nkI03E9kJyP9YkxXq5Exdr2XIs2GiEkCKyl1bBXel1LXyEJiSTbLsm6wCXBpUdtOVzJ1mIE/wHCtJfC/Ed0ccv5Dw/s+2+MTX5zh6YYZO02U2gBk/pe2bLPWeg1tm4JZFUijItLfv2Run0wr5+P0Oh040CLIJXEW7GCXKizEOJitOShyu3gXfcmuf3/78HIOmQyebPeJHWdygNI6TT/iiAnK3cq3sqrBzg+Qn/9GQG/ac5jc/M8vR81MsJw2GrkNLCZoZ0D1p7I2TuUzF6pef19w+xOrzMtNpJuPO4u/KmbxwWZgAeZXJCyemrCeiQnBk5y1KM7Cnirvu289111/7W29+w8vfvLTc/6ZS5RsCXOsQITyGS1/fngwe3xs451HNBlqnhXNS/GE5BCsXryzYseDWRhQ+sCm+X7J3sdwVrJDTtqnpwBzY9jmXShbc1jXJ2TvFdRLbueMk+H6I54T004j3fdTjg5/dzJmlabRqMDulmPUMU56mmTF3s0jfy6xOJZMmmXdegNuz2cswjjh02mcQ+cz4mYuTJ51yVyLPwppKTUrs0Gk57Nkeofwx/ajNyBM0YpvV8zJ55WYSxcldD6EuEbwq5qeG/ODbhrzjzvN88LM93v+xORZHLUZOQOAomo6goWz9vZd1+ygpsuwm2Wpo1mdy6nKlioE1bM4EuCukVgK87CrKr3v1xhFk3zcOZ8/0+Px9+/cKL9j+bW+85fgojGj43l8O4Mn4LNKZmpfK+WjS/7rbCMBJQ7RWxeRXauxbAa2pgpxaC1mhs005QbZg7nU/SXly8/JOWcwOr4Jbo1RqAe6kOCrFc2MCL8JzI7rjiPuflvzhXR0+9vU5xmkbz/OY8wTTnqblGZq+oemV4A58ie9L/Eya2MRQ5kxkAPdcm/k8ds5w72NNotjFb5k1AWZBHIUGt6WoUaxwXYfX3trnI18ecOB0i1FgRzOErsFLwI01bqRRytbaWxkhy+E+lOBJtW0waPoOm6ZH/KtvH3LNzpA/uKvNo/umWBi1GCsP13UIHEFDgp8PWMrtVWmyoadUQF6vWZkszqoyeg5UPQF0berPuUzVle8XTF4Be2psmfQIjz/60jPu33/jbR89t9B90cLKYOEvzeBuoyWT0dO3R8ufn3LUEClcHK3LPSm1yCrOKgDNAawnGJzsPSo3Qg7s7PtVBq8V/tgeHcvkRUpZF+WeVncbHGUnYymVFnLEcWK6g5j7nhV86PMd7np8iuVuG9kIaDcU066h42marqHpGRoeGWtb5m74ksBTBJ4g8Mgq9HQGbo3vWv2tnJCDp+FMN7CJlUzf1hMnZf2MZaysVlpLoshhU0dwxY4Rz5xMGMYuYTbj24tspthV+WTdPFEDcqIzp9oKZmuzbX34u1874o23rfCVJ/r87hc6PLqvw1K/SVd6DDwHTwk8KfAltodTGhyRxzXZFILMJZsMOKuXqg7wSYkiMiauA76Iy3ImN2X5c5q9jo0g1hBr0EnEr374q1P/9O0vv/2OF+39PN9geNA3BPiRk2d8kaa/7veeanX8MUmakmqVMbjM2sOqcqMK6on3cmDrXIdWAM6EJCnOWlWamFqBfu7gqKw7RcnUDsTP3QwZs9BPuOcxh8/d1+ZT905xsddCBAFu26XjwJRrO3kaLpnsgIYnskNmJaeZ7vYEfs7eOcCdBM9LCLwIY2K++rjPiXMNNswKXKkzHSvKRt8K25laualiFLrs2iR47c1DPvFgxCB2GcWCwDV4iWXxMDaVVUoVfjVC1mSKPWTZqKCt397wQ9796hGvv3WJT369z2fva3LP020udpuMhMfIc3BchSMErhS4UuIKk0ktg0JUpGHdPlyHzItrqyvPBlEAvKhZIQNyBmYL6vI92y9q7JBUnUISceTY063Lt77o111x/Bpg9JcC+J997gk8tcptuxZ4yY2QDD2S1LGt/6YC8gLUtuG3xtK6ytaiorerQK/YJNkpqi6DogJsIXRmB2pEBnDHSfGcmCCIGYcpB87A8bOKP/7SFJ9/tMPFlRa4AU7HpakkbdfQdjQN19BwIXAtuAPXziS0Zaaycojs+yYDuS5A7rm2Pe3IWc0zx3xw3WyZN5UUvaihoMpeRf10asc5X78n5NrtA/afaTIKBM1E4MeGUJFZezpj79xNyS3IUqsUPntmRWqtsukDLuPIpdEI+e43hbz1pat88bEBf/LlJsfPBuw/0yRa9Ul8h7Hj2KYVKVGAkz3nTF5IF8rgfw2TV90URIWhS9lRALoSlGpjMOSGeN6GmGaVWzFilDDnLtN2n57uTP/Tf7jcM7892xGs97gkwI3ZL4aj4f/1q7/xyxv+6MtNhDPm1stDfDeioSQ6m0xa72LPZ17ItaxeATiVjndT/E95anLbsdR8NqlhJYnOdnlI8X07STVJU84vwZe+5nDkdIO7H25wZqXBkbMt8H1U0yFwFC3H0HK0dRFcOzg/cO24Ngvi/JDZoTKAk2nuDNxuiu9a9rY3VsSxBdh3vIkr6/ZgIVEo68FLNyFzUnTW15i4XLtrxBUbhzx7NGGYuLRjQeiAl9iZgKoCcCkFQsoak+dMWSZSRBHM5n2UceoSuh6dRsQ/fkPIK27ocWalx1cf8Th6yueLjzc5uxSQjly0dIg9hZDSrhRZV74ky3hCIVtqs28qLJ7LsjyYpHjWxTi54s7MAY0uX0cpxCnCSZEq5rbrQ77zTUMefPLZ6Vv93o8qFX1w4td+c4B/9d7PEUbpd3zya73WE/tn+NojMdddFvGqW0Ku3ZOwZSbh8t0RgREksSyWRK0lhgrgTQloq7NFobfze37CUa1E7CVrF1JEpbh+Spwajp4SPHNU8aWHmzx7zOP5Yw16oU8Y+eB6qI6LrwRNBU1H06j4wL6T12nkZbO2LtzPZInnKTxPZjeAKbW3m9rMomt1fuDFGB1xYVkSGh/HkXjS4FRstgkCL0Cemnq/Y5S4CBzmZyOkGjOIXYaOsE5HXBaMOUrXMpAyN6kB8mFHCIyWJZNXBiO5qSrGTwxDj80zETs3xdxyWcgoGvFPjnV59rjHlx4KeOZYwNGTAXGiwFcYqUBIUlnJBhX0fQmtUs1wFYyWN4ebOqC1sWxtNMQGh5S9eyK2zcRcvSfizheHXL8n4YrtCc8ceZ4nH/99NC6XeqwL8Pf+9l189pFV9fVHHxOPHZhhnKY8eVTz9JGELz6UMOUl7NwWcf1VEW+8NeTVN0dgUlzH0GiD0XZsA1qSJBbodrmSlch47cnIPXUhbd0IQiOkIY4Mw7Fl9OOnJX90l88wVjz5fMDhUz6LA48w9cDxQLmojsKTgoaCpjIECjvOTGWFR8qytucKm/SogtuVeJks8T3wPTLXxKbMXUfjuUmWEY1pBBEXV1K+9ECbbt9nZkoUCbC86Euss3rmZFUEhFoShooNc4o3vnTMFx8dcbLbYuRKK1MccBODG+eedeaxy9TahVRnncjid2jjVH6HBbqXKlJHkbjZ2IfYtVaqG9PyYl5xfcJLrgl5+6vGHDwleWqfyyhS/MGXmhw774KQDEcOaaTy8k2MkwN8wjLKAV5LS+vitUg0QmeSRBsaLZuQE2hec3PIG14cct1VEbu2pUw5sKEDxiiSxOeG3YIt8/vE9IY71LvPfzRpb37XX5zBZ6am3nf8tLxxLFvgp2BStE5ZGKUs9BOOLWseeC7lT78Ss2EmwWjNzVdGvPt1Y1sVlhjmpzU3XR/RCrKb1Fjj3qw9BeTfEdLQHQqeetphqSdpBJKH97l8+usB41gxjhXnznto4RAbFy1ccByE7+BIiacEgTQEGbB9ZfCVsTXgTub5OiVze3lfZgFulfVoioK9PVfjeXmBVlqwt+fFKBXxtScUn3iwjfIca7fV9PelGTz3wstudMV47PLWO0Z86v4ef/DVKQZJQCvT4W6uw+M8KWOKbiEhZAEw+6tkRetXAK4tkyeOZXLXUSSOg5OkFugqRSk7SH8mSLjjqoSXXhVjRMg7Xz1kHNtxbn/+dZ9H9nk0fMFiT/HUsx69ocxUklj3CpdJACtLWoHhpheFbJhObQFWanj368a86IoYowXzM5rZKVAIwI6tGI6syZEaiU4lHT+80fWm3wf84F+Iwc8v9dk02+r85K986qo0jZVyJAiVRbEGVAomQZuUUKec7/qcX7U3wMGThk9/zS41RhumZlJuvyGi3bAllOumJ6u3eeY6rA4Ujz7j0esqpCPtTBTjWGYSDnYusAPSQUqJK4UFszT4UuNlDRieAk+VM/osyEXZ8ODYRoC88bgKbsvwWVmtmzN4WjkSfCfGmIgzix5RGOBPSbws7a0EhY9cZDFFcX1r+YCiO10rothlpq3YsSHCE2NGic8oETQcOwQzryHJE1pKVstbZfG77O+QWfJHlwk4rbOeyVIaJUma5Q1Utv9RQpykqNjmEhyVImXC9g06WzE01+wcE5kR0tF0u4JHn3FYHUpUoVjqQXWVzMlckVZgeMmNMVPT2pZdG0FDCVRhN7uk+Vi+bBxfqiU6VRhjm5yFTpWbDK/qbPvujk5WetKZ+cYAP312kQsLK7/47HPHXh0NB8x5ktRAZCSRhkRKjHGsZZPbNtnrBE1XZ3pKGnorhnNfqzqj6wG8qt+yiyMEOh9aSFZzKlQZ5EiZWVk5qLO0syTbuDX3jSvPTtZJr8i23qMAt23rUngZuD2HosTUMnjG4o7Gy7Kjrhvj+zGnFjW//8UWOJ6dziUrCZ4a+OpElrNrPiTUgs0O1olil/e8ccQn7xnx/IU2g9SlmdhNaW0VoCk7cVSeE6gGe3npYi6FZKXAKz90UQvjOAo3tfNS3AzoSpZJM1s3nr0WOmtmSXGEQZiUDU3N33u5BpFmMhNbM70m5KT4XPY8CIx20EluQkiSWBDnsyWzZ12xPPM4Ly3ivQjRPfJqf+b4LxqT/B/flMF/7yN3IZXwFs+eZcaz7kViKEz2SAsiI+zQHWMw0rXMngNemVKPGEPqVoFtJv7eypUXgtx0qgYvQsqiBU0JcIVNK/vCVgu60n7tSLKaiqx7PC8kcqjMQSHbma3sqi8BLgvZ4numaGnzPF0ZnJPgZuztOTFSRpw4L1joBQjHwZfU5EmRnq9YaDVHoVJ4VgaCdsbfXCdk1+YR+8+HjFKHcQp+KnBTg5tkOjyhcJbK06hqnQp5TGeBYsrS5UIaaZxUkyqJcvLty1VWrJZm+yWVh5AalYFc5L8bPWHlmgLouQNW3txFsbN9LpKE1WGpObBFzbxIK8/5EKI0hTBZJEw/662X71kD8BPHT1p8JSOmArvlR5xacCcavOw5NnYaaf6sC//bFOWTNea+lDoRtkk5L6yhsKByzxUcAa4wuCIDbSYB8tfFexnZl6WgFA22nhIW7DVwS/vs5UDPg88M3Hn3j6MLieI6Vp96XkxCzGfvb3BhoYE7pfCqNRxVB4UJRTqZpp5I+oxDO8H2LS8bcP/TY3pJwNBxaCSaKEunK1kWROUFZ0Joys6hPNCsZAkNWZJOkxqyJhSBowWJEjipzHaxs7U8SQb0MpmmiwSblLqSeNO1JFxp7VY8sksE2vVyj7xeKZ/DUlrQegLche2ZCPRYM4rOYNaRwDWAf+rTd9FuN17+Z39+962rKwnC2An/SlrpnWhQ2fwSzwhSY9k9yaoFUyp1BZWM1bq4zo88WSBA5c/C4EBhtaksZWznm5QaN59Qa59FMQqhCuxiDorC9iOuB/A84Mx1t5PLEpPp7XotuefGeG7E+a7m8cMNcDycTJ44lQKlPNsnJhBuL2al6q7oS5WFJx7HLjdfHjI3PaK70mSYKJoK3MT+LSrNBpfGVYBjQV78IjlRqSmyvkmboNNKk2qBqwWpkqRKkypBkoG8WryWl0PIHOQ5qCsTsgSW1cuS5oKn19auFAt6vczDVMGu8+RhHeDFhgf5bnGRg5tM3bp1z50vf+aJN9x3w82vWR/gaRozGvH3Ao+bXJmAr5BxXn+QXzhBKkyWPs2ALU0lCyUq2auSw6vAngR48bMrzJ2PXFMVkOeM5eS1EVkNeF7qaZuL804VK0tU0b1SAjtvvrXsnWluh0Jv55agZewS3G5RnRgjiPnM133uf7aN9B08Kez87aKCsGyjKyv+JrOZ1Zr53BNXpFoxGru89LoR3/KKPu//TJso9RmkkiA1hAnZylWt+tOZnNMTN9SlmBy0I7MWMVGAO1USpbRldCmzxhZdKUWu1gCZEuTrMHgpm8wEAAw1LQ41YOefV+tyDHaaljkDOxUsB7eiOzAERtwUhaO/l6bxfesy+JkzZ2m3W2+860tf/Ue91SUagYJIFJ3QOAKRWuClQhTDLqspVjPxvO48tSrIM3DnAJAVUEjKmofqaIOcue0WJPnXZAxO0YZVY/GsG8ZVdXDbcQoTzJ31bHpZe5vr5A0HSeWIiYj5k692SI2PKrKX1QCz7GvMnY2aBmeiXU9LO0ojzYNNB4HLu18z5MOfDVnVMaM0YJQK3ISCxaU0yEQURWfWLpzUorJiTYoKyAWpY8qeWaVJHYPSVq6kyqBSW8Fos8eyKE0uLcpqdWdZxlw0pVSAfun1vFJslwG8Xm5d5gqK2YeZTIkSO3u8e3GF6fnBP7r19jvvvnjh3Bc3btoyyeAJOo0uR4/3JvEQR0pb85EByBgDWdG7FAZVrQSj1JQm9zlZJ54kizcqcWUuTwqgT5RnFlp8QnPmoK/O9lBKlFo8q7irDbvJgO0oUTophR1oO+5tY7LJmLsMMJ0Ke/tuxOOHJYfOBhjloqTEkxpnsk6jIsAnXZT8KDqe9OSFVMSJy96tMddeNuDBgw1i5TFKBIEENzU4icjkW9aFk2Q6HGnlwgSAShYXFWmU90Xm7oqtd0nz2e2Z9CvBndcCmaxMIGdyitVDVMCNKCdmUQN7/XTkDatFttvUVzhjKoFxUUSWF+8pllYGLC4P9w5H4eXjUfzFNQx+bnEB3w8YjHvFnokmA6OUIA0o7NyqggGytaVaPFS7I9feoxXmrryuAr0CblXUfJe2WylZhO2eFyW4bZApim5xpwC3rAG8OvzHdttTALvIVhbMneI5NrFju4JiDDF/+tUmS0sNhO9Y3716E07WoFSXrmqpqK6zas2b1oo4dtgwK3nXa/s8frhDmAYMlUcjtVrcqRCQBXe+VujME69kDZE1zWslgKncYNXOdonS+YpkitcW4DL7O8t2xbzLXwhZNkfUQF4WzRWnQtTZvF6bJNbEDlUCsHqcIvvtuQbPS0mSZcajM4TjcfFzC4D/s//nEwghiYY9mkDTs7sC54VieWG9EAZhBFLXLa+qJDHrLEfVi1xq74nnKqCrLF4bL1YytqwyuBIVFs/likQ5dYB7TjYAyM23DswynI7BLVLxOnud1g5H2c6d50/AR+9qE0oPJVWWvazfiJMZzLW3e35hmdDhmdZMFUnq4KcO73rDmA99fsjTRxvEymUoJV6qM/dIIFNTOU/GtpeJ6hqqs99V37eoyuSpBqewEO3UX5WVBKjUlMM6i7ksorihkwk9XtYR1TuB6gCvY6Q6+ros56AG8KpcMcYCx3EMQiZcuydm+5ZHcXrPICpM6wAcPX6GPbu2Nn/sp9+356lnlkkiu+GnoGTlqkYWxmQxwmQ9N5d8VJem2p09wd7rSxRRAGdyHLKsMHYeZOZTmxwn3+Q1095qAtx5+t7NG5O1nRlStIjlPZ1JdsQoN+LQGYd+5IFyMnliJspjJ2/cOsLrA40mvPCsG6dM/Di0XMFV28Y8fSgi1T4j7RGktmbbyTS4EnYyq00s5aulJg8ySybPi+DyVkJwisGm9j2l7UwbR5N1EBmkLicE5NO10ry7vzAAyuBSSFt5VDYr17X4elKlmheqg1wUci4HPZDNNgeVTc5d7fkI78o9173kR5v91Z8ctqe3WYCfOn2O5ZXVN1y+c8OPP/XkMzhKlqxcAyUTvZimCIjX4NtMgLrC3tWfJ2QdCCWwyz5GVWFFVRuqmYOcskZaVUBdvM6SPIrMC7fgtgAuhwK5VXlSZW+V9XV6Ect9zX//szZLowDhu1aeSFNbVcrBOetXZNSAji2bNbqyFOfBVFbH3Wk6/Mi39vnK4x2WQo9IOoykxMt6KMuRDxmD5xU/mS7Oy2gNOgO3rpQ0l7GUkw1pyoP0HOxKiozBrSRKCxeFQqaUOrzekF7e6FWr0NTxVF3i1rGWJ6csVO1ume2cobWk20+Z3rT5xxfO7b8vjkefLBj8uecPEAQeZ8+cRokUjS25XE9W1ID8DRg7vxGqtmDxB06wW+miiBLkclKi1AfTFMCWAqnK8WOqAmpHSpxMkjgFwHPNrYug0nV0AW7Xyesv6uztqhjPi/jjr7o8d6QB0kVKiZ+XxlaszWKP+OyPvGQ1YYXNi50qKjIl0bblLElcrt875G2v6PGhzwdox2ckPXwpiqSPkoK4COjWMrmoMnm1w6pSE6MVKGNXBW2EBXc+JUxjx/AVYyXKWTTlZFrbxylkHeC5I1YlNmqAXw89FfCZ+ncKDFXMCmMEw5Hm1OmzDEOPJLEbQzgAL7rKodN06a4oBrEd9lLrqK6AsfpbvhE7IUrHpAS1KD6QXV7EuuxdBpaiZPOCIb8ZwGUJ8CLRkwPc2DnZmRRxVemWuJXhQKXmtuztOnZq1UpX8+dfa7PY9SHI3BNRCcYuIVHyv3Py+q1r21WSGjrN3RSHmY7i7796yKfuH7M08ImUwyiVmT0pMvdGlM3YsmTLHNjGlF0/umDzstvdyZ0Vlb3OhqbqbPx1ft6rIBeyipV8iGemu2Vdf1fBbct7q3CpgsVU5Epef1r5txVdn2t/JQ1NP+LiKpwdBEV1gLNw/hm8YH53d+ErP7o6eo7TXcVcIGh6BqHKO0VUwF63vcooStQ+xDdh7vwPLIAtvqFEETVg12d/Vztc7HB36uDOdzbImVtVmHsNg+fjJsqRE46ymctjxwUHTwRofIR0iubcsnqwGj+IiqtRnpBqYF4yeSVzVwyPz2svbLCJcbh6V8TeLWOW9jcwqWdZPLUyxam4OGVwVy30ymuEZGnhmozNTemTaykK67Aa26hs3qTOZk4WCS1ZklEBbi2s/pY5gZV7FAlKt6e0i02tjFpMLHmT8ZvM0J8DXUk7unpuqsejDz3Nxp17fvTtb3r5k0/t23fcOXRWMDMdbb73Qe+N7/+zIZGeK+bJlWxbHyy/Zon4ZsAumKy6GmSL5sTPrssTUXEmRCXYLAFtGZxsFHDVB68e2ZbWqgruCsiz/erdrDQ0Z2+Vfe04MUrFfPbBNocWG+CV8sStWJdrJdfEyZl41McnVIcmVXY3y8toI4fLNkS85aVDHnm+CdolSa0Wd9Msu5vWpVIBrAI6uW0obalAdepB/lpmr2W2qsj8ENlAVVOsnqkEqfMV1hTEVJMqlNKTGtChDDYnZyBW3JYMPFXWNvm2K0YUP0MKTRAI/t6tR9mwq/fGjj/YHGwcH3e6I4UXSE4tNzi73GH3vMk2TaKo/8g18OTyO8nMtbstB3P+Aan/t6W7IAoXZTJAywEt1gF2weZKVJpwK+DO5hOW23awFthOOSCoGPHm6AzkiZUnKqbRjHjwgOKTX2sxGnvQdHCkwBV1aTL5+SdjlzUAZ0J/T1iGVV88Thym2g5vv3PM5+8f8vABD9NyGaU+nqC40VTx+6uTx6rhnAV5NU9hg8/sBssMhlRaPa4rrJ0H9Vrm0kBU9LeoBLoZSWmrU8uVv5RQJS7MGoYu3q+t+qLyN5VWtBACle15NA59Nk032DAtbKmFMDgiTdBJQiBTNrYMbc9OIHVlGWDUZ9VdwuOd0Nj583pJnerSWWPuideFFBElqKWq7N6gRFabUoK7BHleNmsH8+cjlJ1sEyZH1YHuFmxtD6VsgOl5EXGU8vkHmjx/sgmui5AqA1U2N6QSXAo5cSNX//YKsss5fPluBtUxd/m2fbLwxNPUIYocrtmZ8KaXDXjqeIMw8Uily0grvJSJzyKolaxOgNxMfBZUfrNptLKgMQaMFBhlE325Hi9WVAlSV2YZairsvT5eJuM5kYF+rRSpOEGV1TCXrPazCwSaWEikUEjhYXSLxshBNlLS2OB86MOfxnEUyys9tkxLGh6FX+yo+rTRegmoqAN5HUafXH7qf6ioAXwyuKwHmOUOBKU0qViFBWPnAC8npxYSJWNuy9imYGqneC5fu1lw6agY34t49oTgi/c3GY48aLlIkVcOUrEH18liViVdRczltSgWXeVk3cny2XKuiSq6fdrtiDfdEfKpe8Y8ddQHx2OsJV6mxZW2lZ9lXQiItJQHpFWwl8A2xl7vQrpIy+b5qpIH+dpYsEtdJtqErrop2apbBXsea8l6XLAWK5PBeflaV/BjDEhjg93qBIdUC8K4Q3LsCbyzh9E6xRl2F5BSoKOE6WbWCiWq86LLYGINMNe5GyelyuSFLv+9WAOEQo6IPKicZHCrt6vZTKWyCsOsotC2c2Wvnep88AlwZ4ebT6HNCvwdldjDiXHdmMSkfOa+Bvc+24DAAWkbmt1KCW/Nbaoe1S8uocGr01hNvgFAZZ56rchfK8Kxy6uuH/KWlw957kRAkrgYoRgJBzctZaUtjKto1+LWWsvk5e83KJUzt2Vz+7VAalHo8MLvzxk9J6Uc1DkhVowDhEFqsQ4u6o5KiRFTkuNEXKNN5Xdn8UGq7bbhQihGUYSUXQwGp92Qtq9RpaBL5px0NCZtvFwXIdbejQXYL3UTZDdKuaSL2u8Rk8CuSZVqmr5yqAlwq8rhlJug5oB2K6DOnRPrmNhnpWI8N+bJ45KPfrUNeCBdhFBFF5HKNlKVE+cr/3vys5HXE05mxaqOSn1menaktnXPTqFVRfreGId3v2bElx4Y8+gRO0kg1ophKrKCrwx0acba1TqgWgQgsj7biZKL7LsqA72W2X4+eVCsK5llk/0uU4mbdAnSctWvTPgSuZtSX73zc5S/v+ZGyHFiMi2vRZFRzfU5RqAcF6k8MAYn8DJQI0iTymI6GRhWADhZT4Io78DcGZm0AvMbotRS6+wkIDKWzjVcru1y5hCVoqv8OWtNKzebsjs7lAPwS3DXWLvynDfW5lJFqQTXTYjThLsfbvDM4Qa4LkgbXHrCVCbHVgOrtYH4pDwpJUr5omiAqNSI1KoLU4lWeamoQxi5XLd3zKtutyw+Si2Lh8JjrMFJ82Auq1Mh0+OCikSxH6BaalG1LpUEo4yVAgab/TQCYQQmB1kuVTKiygPt8mbP5Ut2Pmq++KTxsA6wi1WwLm3WrPyiTJtrLXBShbQlsDhBIJFZM28cZ5ekYhFOgrXwMav6OvsAVD44tX9bZXNRuRvL9+2UpuoeMRP1J4Ji753C4cmbb2sND+XWJUpNgLsyFL9wT1SKcioAzySK58QcOif43c+3CWMXmm4mTyha01R1l2BRP1/lXX0JiWLqQK/KlOrmANqsp8UdWr7ku9405DP3tjhwxt58qVYMU2WrDNMs+ZNl3ERacSYqK0nuRtRqPEypxWWm0aU2mOwaGSkswCsrfsHkep14LQelnjQXKsCuWoWTOrzitkgBOvv3VJg9/2PsnpsSpRQGjfqV//rLmzzP+X9Pnjh5NeTFNILJDGFRolr1n/NnUX2P2s9QE/+meqh86VMiK8MU2Ty8iisyceQjE6oed/HslLrbOih1cFf36imLqbLdH5y4aGZwnYhURnzo000+/MVp8H1QAUo5NJWhoUw2joKiwdmttMaVmdRqIkpSToalFqCWsURpO+Y3rZBkjb9lL6SSBmE0OzZHnFmUPPaMRyIkCIUWCiFsKe0amZiDorqqVIrpiq9NRdRkYC9vBkrnByY0vC0KqJYg1KayVY9KqXBtEjGCNWUMOi+4qsi34nv1bXJSDXECl1150+brbrjjy86ZM6enR4P+m5MkwnGcWrGLqJyHQnNTrAaXXFLq+qmaGJrcpq7+dbHUVVm7VgduatpbFmAoJYmqaG9V7PRQ2YhKmQlJklcK5uwd4zoxB89KPvKVJnb+imXvonM///2C2nhhWT0PtYCp8kUBoAlw6GptSDlX0AJAFnNBdKpIVabFU4dvf+2QT9zdZN9pF2SEEZJx6uKQ1Yvk5zrNrmpaTX0ban541nBgvYnys0mTOxcgjck0cOVrkTUJZ4GnkaDF+pJCVs5HXc5WWX0yGDWXxFgVj3lWOIoiet3+m8+cOT3tDAZjRuPIBhVl68Wa/7gK0trXa2wfsf73xNrXcuIkVPVbrQY8SyZU95EpNXi5VWC+s5qaALedyKqzZ2sHKqVRud+tEpRMUJk8SVXCp+9rse9Qqb2lkNb7LjpoWPcCCia/rpyvigYvX9cbkGueeIWZHC1sbYosU/hR7HDN5SFvffmAIx/xiVIFwiEVDiMhcLIWQ0ke6OaOiqjxcRECZ3rJGIEy1sIEK02MMZkWzw5hyhS/AC0t8HUuUyo+uK4QmM7xJOtl0lA/h5Ox2xrpUkkE1fCaHcZEaB3iRKndhFNgl9jav5x4KSpolzmYqx+usgTWB97UtVc+lXQNSCaZe4K1869z1s7BnjN3AXRVZfJSd6s8iMy3OJEaR5ZD85VKcd2Yo+cU/+PjHcbSJZ+gVXbNZytItQa68rfVGeHSj/ryLYrS41ovoq5qcFGrT0m1Q5K6+GnC//GOAX92d5MjZx1QMWiHWLiMhN1puihjrQabEyDPvXkDOPkNl70njT3nOZtLk3viusbmWtgbSkuBMOXqMQl0YcOCmre9rv5ew9pV0q3kF6pYzf6950LggdNqKMaBwvcVjrN286cqGzMJ5toHmVxWqlFy5XUtyq6/rgJbTLB2nkipg1uXEkXWGdyp+dsZmGt+d+WQlsVdJ6IXad7/qQ5nLvqgnMwalJk8MTXfu3g9eaEmb/JvBHSqejNvPKhqyzyFX055KpohpCJNHLbNh3z/2/r8/O96dGMbEBgjCbWytmFaGgSkomS/CsjL/7XfUdldaEw2yylj9ZzNTWbVFQxu7HUyGXiFyF7nQeGa1W4iqJwE8iTQmQQ46zI4QJoIBiOJ6wucZqAYNxTNQCGE/IbjA6tgrt0x6y0hFVAX/qcsX68Bt6xKlCprm4o1WBbZK1EFdIXJHZ0xui6kiZUjeo1UUSopnh0V4/gxH/uMz2/9aYdQu1aeCFXIk6KpeMISq+nuQppVz/z6EK/ORiqtwiro85S9QWtd6UfMkz92K/DASfjBdw44eMLjg5+2WhwUqZCMtQ04ZUrB4GUBVn6xytR91a604C4lizEZm4u88jBnc9vGaIrET6bLZfm7cvdsUptXMfQNs5o1sr3kKcUYCEMYjAyuD45TdLxIwI73ujTAxbq/aJLRawGDuPR7tcKcynJfMnkF3PkW3dUtA1XVddAVqZKDuMLksqwOrD8nme8ds7wCf/aVJithDm4LcFda7e2IujypfdbcLquc/PWW0KrWzi9IbhXWqvomt17UE3XiUqK0QmuHJHWY8lLe8bohn7ivyVJfgYxBK2KsHs+rDAvA1a/sJZnc5oHKpFBen5IHm0ba9yx7W6Dr/OY369SjrAN2hC2vXdfMqJBHPZG4Pka1gTix7XtJanCy7X4gq99V6+FbTP4Cse5dtUZLrQPudaXJesAWdWkii8Cy2mBQDyrz4TQluNMaa5fMnbN2yd5uM+EzXwt4+JkGuqK9bVNDLk/q9SbVyrhy5Vpnmb0k42TsWfjgpUSZbIaozQcxEmVKXzxJXRyd8JLrI77ltiG//1kPVARCYoQg1A5KCDs5LA80RQnqSbmSW4PGiKKwyeQ6PK+dkZVCMWlnvFQrKu3W7qVMWfcozpnJ9HhFSk2ogkImr4vHOoMbIB8p5/RHmsFYEyd22LuQdSZm4gddarlYs7RULvB6d3Et4yXrgKmztykswmKj0grApTI42YgxKTPHRJpMV+fgTkvHROpyNzZp3RPfjTlyUvK7n2lzvu/Z/a6lHfSuBOWODRPxwtqLJmqAn2TvyUct0VNh9jXbMeZ7jNa67u3+OfbZbn+yqZXy3d8y4L5nfI5ckCBiQKGRjIWsbCIF1TLawsas3nBVPi+ymdl1qLJ5Fcx5MVaeRRWgJ2rD64m+6i7KlRa7ioSqmhTU3mOd79uby3Wg2ZC0mhKHrGNZUAnwJnRO7XVV9E+8fym7p1iaZPl+3RasVL5VAF3YgyoH/ATIixnZk6/TYmhkzuKOrOhumeJktqDnxYSp5jf+uMO9jzdsb5t0rPaW0nbtiHL+SvFZ85Vl8u+dYPIqzqtYX5vBLF2Lco/3avlstYzWtpvp3FFJNYl0UInDq26J+IF39/iZ3/AIE2kzUFqSZK6KrdGmApiyrNZ+MFulR+Xz2a9FJTbIEoImtwetRMtvgJy1TXbTW+lSOUd59jcHZhUrWEavy+GKpJpk9gniLTWiACROXldth+RU6m6/CXNPsvi6gUF+h8o6k5fdJlUdWw6RqQLfyhJdsvnEIQt7sJyAWgsuZSlLnGzGdRFcygTXS/jqoy6fuLdJGLnQcArtXbB3HuDW5Mk6zC3q58Ye6zcdVxNqRflsIQ3K4iujymxftVY81RKprVTJgZ4kDo1mwjteNeKue0d86VFlbUMkCEksHEb5dQA734ayIAssCxelvJVVxlCpS5HZ58yaIoqvRVZaK9YDen4ucrBXGXudgLJSTVjHXZXly5OZrwImO4dpYkfXO81AEAWCRmCnPVUZZ12gXwLg5NrpUgy+jjyx4Ddrg8psw1cl6q6JLPZTz1yUIrmTA1lXmLsC9Mow90J7SzsldnVg+Mx9TQ6cC6w0EbYkVuTaW1CZIGXWgLu4aalexNpZ/IaPfJOu3JKrH+VWjGuHA5U1KlIqpE6R2iEOHa7cHPMtrxjw8D6PbpSlX7XV4xGKfB+IOrgrGjz77AZTxmQGG1BSATU2sJRYqaKF/ZmTQNeFNDJ1oFfjFdZ5nmTqGmtXWF5U34MkThiGKY0wxZlqGXRsaPkmP8+1SzPpdonqHbPOzZCzWN0CMjWw1wK0CnuvGUUwAeac4XNJIovB7DnIzQS4s50JKs85uF0nQZPye59t8Fsfb2OEY33vGntTau+aNbgW6HUJVwH5N2DvWiUfk/o7Z/K1rWw6T9trjU4lWlpfXElNnLpIpfnBtw85fNbltz7hECclyDWCUEiUzgdJZOCutrYVoBbWB8QuAuXbuQ4v7k1MdvOTgV+KEugCy/blSleVLLlkqrSyUQbBk6vferirnmYDjMKU/jDFb6Q4aarRugRP/R6+BFuvc0fVJYqpf10JbCRQbsddSpE8uMynJoliFHGpvYVY65jIHNxqUp7U96xX2d4zVoPHuF7M4fOST9zdYjBwoaHWsndR811xdkSZ4KnqxsnXOci/GYebUgNU5ECuxSfGlWVNBwXQZbm9h5ZWi0vpEMcp7VbC2+8c8vmvNzh8Lksq2AHVpEIwsjxqP6POwG1KsJsC1JlbQpb8ya917qSI8jNrQVHBaESd3GxXUJ3oqlWCBaiLc2jWgLeOOUF9J+z6Oc3dImecNAjjIUkKvlo/yJz8AZO/tD61qP7fyxzwsipZ6uMN1rB2NkRGVVg8n32hlB38WA5mr+jvynYbsiJLpMwck4zJHSchjDV3PdTiK0807HBw6VqAT7B34eAIUQ+GqdQ8TzK5WHu+viHIJ4FeObS2NlwuU0y2FYnV3bqUKVqSColKJVoo4tDhdTdFvO4lI059ziXUVodnlVAkOIwFtsumAJTIbRBMNrNPFVc7d1Sye0VkVYXSItvk2UuZF2CVuQEhQGS2Yz3JUykzrgS7VV1e4k2sc9bWi/1sXme6EzA308DZsX3b6ikz/nwQeP9AkBYDXS6lu9d7rNVMFX+4ALapMXlVqtSW/epw9QLYOdDLstGqcyLlWr1dtQPzVLyUtlNHegn3POrxC78zRWqc0jmRNpvrCoqWtJKxTfl5879Dsi57/wWSmNVrtLb01JTp8CJ9Tz71KivGEqWjUmhyab1xoR2SRON5KT/xPT0OnHa45xGJ9kQGWfsHxFoxysCTS89CcyhRHxecuTtZH4FdXanLEylEptWz9H1ew42ordRgNXvdQSm18WQZSH6y1j2Vk2QqDK7jETRbn9+6dfuquvmG7YPuysIRKfkBYWLrpGQloWXnzETmrjhE3V0osnyVZoXCHakma3Kbb8LfLnYPqwaQE8mcrMa7tAV1ZbsNnWltXZElaSWhY3stTy8LfuF3p7jviZbdlEd6WUmsiyMFDQm+JNvkyqyt3a4dWe9qMSSnPowor3mXaqJhuqLry69FId9Km7ReUWl31K7MPanIvXK3hVLnbphL8B3Dw097rI4qtQVZmKnLBb8AemnRibVo+qaPSjFuRXoBtYnl1QxuKcnKG39Ntre6qlWO6mSu3EFpNHwWFhe/++lnnz/gqGxXAGEMOpshkp8wM/EnmUu9WMP29en+a15LUws0q8wtJgLMqv9daO6cxWvArjop1cAyK4XNXqdeyu9+aopPfq2FCRQIZdEpHISUtX7Lsr/xG3TMF3+fqJ+I9VimctbMOufVVL5RDTTr8wuzIDObH2gy5jZGlzUqQiK1IhUOcpTyjlePeP6oyy9+wCHykxLgQmC0S0hWO5NHjXlbmyjrwwGryXWW3czYvQwyM9YW1hc3mTypW4VmwjLM9Xyp1dfo7nUAaCqvy/+mJOEksQSotcZp+AaEQaeaNMk3Fl2rIat30+QvgfWtnirYqzbRZIBZZZ5JYBeAFrnvXXa1VLe3y5m7eC3LpI4sak5SvvSIz+98rsU4zabgi9wazLKWwtS097qp+SrQqQJ+Qq5MRkfrPEwW3OXe85qMJmZNCa2RlcymrDgrQtnCLJkVZ0lNqh18V/M9bxnwwFMeX3rC2oW5N44UaOMQplnQmWtxynR8JrizwDK3BwUqswSrIJcivxGygqsawCvnrpJBra0aYu0Zq5FBgcO1NSV2VJxhHNmtwbUxOL5n9wVPlUbLNGtAnmCaYuI+lSVnorRWlItT3e5ZC/CqJShqAK8EnCJL4ohyZy+1Roevw+JV9pZpGWA6McMQfu63pzh6xsc45W7JNe2dS6Q1cuwSjkn1veplWS+8nwB5jSygBHf2ulx6q3p8bW2KllnFoayyuEKkGiEcZKS5bFvMv/3eLg/8a5/+OPtjtCw+VyrtXpxWzNoPYbf6ycEO6AzU5Ji3fZ8mCy6zUYc24MyLrzIpayrnb7I+JUPTuuCePD9rLNbKObQevEFFaRGMO1NTswipiMMe0aiPzLdymDjBOp/ZgX2vfl9N3EmVFqPJaLk6O7paSJUDXdaYXJcSJe9LFOuAu+aaVHbnzTxvx4lJUvi1j7V5Yn9gPW+ZM3fpnLiiLkuUqLN2NQaZZO4sNUh16OZ6fL2GySeck7IBgrKYyYhiw69ataGwDF4EnVpakKcSLbIjzaSK1tx8dcyPfFuX//rH00RpRrWW+sAIUhShrgSdEtzcQsSUEiWz8Ex2kU3G2AWbS3tzmPz6F+dQlNLXUFv1Cit+LQ/UpMnaZJgNZktpp9k432FupkOcpDgvuvVNuF6bxXNPceT5P0c5XtnMmbVL5SfYyJJBqsFDDdwFaU24JpSvy1qO6gZGa92TctPRS7B3JkdkVZbUjiywDFK+/JDPBz/WpjtyrQeYed5kTbrWOSmzltVS3qoOL0ezrTODsBaWieJrcYmLVX2u4b0G9BLkddbOp8KaDPxVqWJtxFQqpNG2XiVRdALN971zyGPP+dz1oIJmkgtn+8ulINGSMXlMYS1DdEWLZ2i0yR4KoBshikyn0aUsyY86uWXnzlTOXVUWrwOsySAzPy+pKTfTMgbGYcK7br+VV7z0Rla7fZzAUzieohkYpttjDIIk284u0TbjZfcoLDuZhVm7ROSMXX++NLDrUX/mtFQAbreMXgfkQhcsXWNuZYEuK1WCUiZIJ2H/cYf/8dEOh5c82wYvKto7qxh0s1knhbOxXlBJ/WKU0kRMLLfrsFCVASYIolh6K7q7XI4rZalr3IQS7EUhltHFprIilyrCWKkSG/bOJvwf7+pz/LzDoTMC41QFlgDpkmYgZwLkuXwx2k5YoMLkJpMspsLYTAA8rxOXlPUoueSvgn1Sn9SZu9y6Ms02z0o0pKndKa43FMRGIR0XlIvjujY4awQRM+0BUSqJEkUcK2SqSFKJQJIKrNOiRQHw6miB8kPVt60oAFG1r8Ra1hYi35qu7pyUMqW+pfRkMidn87yxQcoEz0843xX83Ac6fOKrTYyrynT8N2Dvsu57bUp+clldk5AQ61yoCRqvEdR6q+G6NSlVHZ4D2hQZTpPr8IzBpchfZ8Gn0CSpxpXWVemGkh//ZcWFVQF+nW4NDomRjCsavAZyUcoVI0Hl8iQDOsKWx1pdTPEsMnY3FdKrgduIUqOvAXi9dCHNQB1riFNBnECYCi4OBf3Yjr2LtUA6jsFxvfO+n3xxZrZJMxjQ8GJ8L7FzsgutO+Fy5EAU9deq+v3KSIcqWOtyI9fY5eaiVQBf0g6cyFRKmSJVkr22tSYRmk/f3+DLjzSzWhNVALvO3uWuwdV5g+sWU1WWVFm5ENUsZo2wv8Gyu562rPnCiPr8kApzF7NEEBlj54mf6k5ksvJeWXEojOQNt41568uGeCKFJAFdOUyK0Xab9rGGUAsLJCNItN26PdFWHqT5Hpu5VNC5bCjnlOS7uFW/n1YYuBiTYbIdtHV5FF+vA+5EQ5wIwlgwiCULQwhmZhlrvhgE7nkjBNJtvYho5ePHlRj/987UVqZbfZpBiOcmuEVd9TqgLtyNiSNjwMK3FuWeiiUrV73s9WpLqkAvPe8qi8uiOjCtOScyq/NOhOZTdzf4xQ92OL3ogqcscxeBpURk4C6ylrVuoondEmqzT0QNwKVcqVtdVQIvXpl1MV7/ugLmcq/I0gevD8yxGzDV9nbXlRoVrdDGduGn2kFrhzhU7JjT/Pj3dnnbqwe4IoE0AZMdOgaTYLReC3ItSIwFeapzwDPxugpoUQN37ZgEem1jWntMJnbq/50gTmGcwEokWFzVXL5tK0uD5L//wofuPn7nbVfZPXqOnY2RSjHsRrjJgA0zjt2INHGQSSkr8gAhv1bryUy7CWlFooj6c80erNwwYp3A0urtujwpA8qSufOAMn923ZRji5IP/lmLA4d9aKvCLSkSO1IW0qTos6Rem37JjvmaxZUX4NcDyvWr4Eott16yx7K2nkj4TASbVJwtLICksCCXwhTeuMgAL0Spw6XIu/Id4tBw9WUJ3/P2Po8843F8ITex848oChmSSMHYYGtOMj1hpAGdz9Kxr03+3+uKX56dIfvaFFKl5qJU45lJAphc5SrnJAf6IBb044TN80tctmWZLVPzjL0QyDahOj+6jel2k08/7vLZr57mX75ryC1704pdVf7dhUNCbheWn6rQ26wFdlkWWw8yiz3W85rvYqXQVF0TuzpUwV0FfYoSlr0dJ2W5L/iVD3e4+8lGWSVYALuUJp6YbEcru3RU5eSvsQX5BlYh69/43+hRTVHXqgqrFzQHSQYync0GNCLrh6x54xIhDKkwCG2ty9w2FELZ20ho0qHm1TeH/LP39PiPvy1ZGWWfQ2Z6XNvXxigSLRjnf3jmqhRVh5mDonS2SGXFWrllKPP7OvPDq72ssvKn11SeWHt+qun76nzLWMPLr1vm//62i1x57ctozl6DTvr8+x/Nfr50d3PT9Tffdejw+BdWl3fxzKENLPcahJFDomUxDDL/wSUrlRsByQpgi5akak13no0UVa094ZCoutxRa76ugjutOCZlQmcsDL/x8RYf+FibfpwVUuUAF7k0sWOG3SIdX876Lm/StdnLgqkrV6IO5sogyL8g0ie7662unrALKxe3nvAR9aRPxVmxe2/KTL7UZ4znkiVJHdoO/MA7+/zgO/o0dNYGU2jxTK7oBGMqmtxMaHKzVqLkhWFpVXPnGjqf96LrFp/RpRSpzTas3AT5aZXC1goFjmG+pblhZ8Blmy7DTeJf2L7lxXft3LEVyKohP/ib/wWNH08H0RU758zfn2m5BJ5nlyJTBjO5dZWvv/XlejJLWSZKVCXonAxOy0aFqj7PwF3R+VXmlnIyW2l1t3A1zxz2+E+/M8XJi36Zii/mC1rvWwpBILOS2OIwxb4+RaGZqBRCFa8niqWK4qmJGeYin7xqB4uWm2hVC9Fyr726bUslsJX5pgDV81r689Wy47V19pNb+NkeSFm8zhsUDIGn2TiTct+zLhcWlJUaNQeotItyHJTDnCa90cqmf5PLWs0arfzbyWClSgyidFaLH5k9K2Ev8Ya2YK4RECYbWVj2P/z0E1+//0W3/AOgslf9e77zbXiez7NPP8CZ448RxiqrtTYla1eswWqKtVryOFnVZlmtYgtWGxoyjV3T41XGLuzBtPJ+PQ2ff+24mqePuPzIL8zwzCEf48pSluTaO2NvT5a+t1Nh70v3XK4vSWqJHUHlK8H/lFyZYKm6Lz7J3tZtkDpLrlQyzTLLaMqslFaYzNo10koVKGWKMKTaJjVEZLjx8pj3/fgqP/CfRDYPndLj06J4bVAkiGw/2Wy1qWQyy6Zfk+85W5MsuSSRZKPbsJJHVL5XPXEivykqQK86WY6yG28sLEfg7+HWO17BaDwG/lXxewDYOD/NxvlZNs+7zLQTHKUznU2dxSeWjUlwi4qXXU3HT4JYiao7Uw0gJ3zuNeDWRYCphE3oOG5K3wh+/RMtnnzeJ1UTyRyZZy2llSYia2ZgQnvXnBMqO/bmx8RYiIkgqbqqTV6odXG9zvJbpu5FCfLa+xULcR3JYnJbsDKZtmhxM1V3RaKNyrryFSKV3HxNyA+/fUBbJpCkmUSpPOcWojHEBkIDUeasxJlVWMgUI0pZkkuWCUekdEiqrlFFnq3B2ERAmplSiYbVfkqkPdpTszRb08V/WjC45yo8zz083fGPzM36e9NkjKoM41xTvGXqd9JkECkLgNS98jVsXXVOCjsxDyh1HdxKZ8FkihRZlaCbMtTwwU+0+OiXW4Q5mGWVvW3lnKzagpUJVetmLS/loOSgrb6eWNXqj2/M4es7KfarSR2uoRhlXHUSZEE+pnBOZMbqwgiElgihbbBpW+Cz9wyCjM1TgycM73rdkH0nHD748TaDGHvCdE65pqTfnMnJqThzh0T2IbP3TJ4UIlsJhFmTwkdaJs83N6wuApNxTn668xtBa9uD2Wy0cNzGEd/3Do/DqPj3BYN3ZrZz8sj9X3T9qT9odTbYWX3KAo7iZOY+bBkI2d+6dsJTDmw1ydw1z3ySwdcDd1oydw7uLBXvqIR+BB/4ZIv/9IEOF5fyDGU1sCwzljl7K2HHkdU7dKpVj2sj/UsxSPX9CvZZO5/w0givArn2XvGlIB8AX2fresq+uC6T7xXMngWduT+uVYXRHZJUsXlO81Pf2+Ofvn1A209tRsWkZdBp8oRQClkyKMyOqkeemCz4NKLwtPOk0CSLmyLQrCgEM3E+J0iIDNxxCuNIs3nTPLPT7T/49Oe//sXLdm9fC3D70zyEbH7Wc8yTnZYg8GOU1MWdkkfHkzKllChl2r04Jti6XlRVAXItoKyCO3dTquDO0vGB4ZP3NHjvBzqcX3HtkBs5ka3MpEluCzrCrBlgX0/iXMr7FrWTvR6zVCfw/k95hRWvtwjEJqQKrNXi5ViJjM3WgLo6biJPBk3KFeuq5K/jULFlJuWnvq/LP7hzCGEpTSyoM8Cb/L06yCMtiM1EtrPiWZeTc7PXlDf4pEwpzm01AM+HtGLxOAoFifHQRj453Wl8NvDd2qmtAfyK616PHHzkvo0zFx/dONtjttPHcQxJIolTOyasGCNWz8/VP0jtqIC7lsbPAswifV8Bt5oAt6jWdmfWoK85fNrh9z/T4txFrwS3qJfB5hlLp3LktmDhx1O6FzK7WQvWriyL1UzOmh3maifiL4zp9d+fsAz1Ohd/MulhtKjIlnXGvU2Afc1Gs9kgT20USSTZsiHlPX9vwN4dEUQVUFfS+VWQpxoiY4+4ALfIWPzSIF/TgrZOtje3BW3ph8BVdkhVksL5geHMyGH/+fjR//AbX77v3d/6xtp/60ye4PbMZpSSfORziyTjPltmNhAnrgVhNq0VyqRXWQddsZ8qLD6ZqczT8aLqmEzYgVJqhJgEd5L9mwTlaY6cdfh375vmq48FEMiStSd0NxVp4uQ9oaJM5qw343vNYJ98MleV2SdZO7dOq8eEds+DokmXJD+R1b1wJhRLTX7khVdWf2eDK43dGGq9oiyR3wBCFkkioWWWkDNZEZ2ynzNzW9JxwmtfPOZnf6TLT79viqPnsM5K5qCspUdFqgVRPqwTkaG3orulwKlZRnZQfpWpq7NWqoRhbdpyf9SGLwl8uObqRaZmWiyMr0cIzf0TeF4D8GW+A0+q6IH9f8q5Ewe5/ZqArRskzYYmcG2gIkVZ3VVui5GBoBZY6oK1RQXca+pYKnagDYbWA3dW3+1qjl90+Pf/Y4qP3tUkEtlOUNQ1dw7yamBZZe9J335NCr7ynJ/8dWuXBZPkvv6j+s3JdDT1hE/136xJ9mTAyL8o3RaTgVhkc25EtquZBb4FtQ1AhchvkMw+LEBug077eW0S5d2vH5Jq+Olfm+bEgigR801AngeVJk9jVvw+p6LJhBYg89kpOchtcDppCdoNfwW+A82GxsdEXwAAKj5JREFUYvMGh1uv7XD11TuY2fOGCJPw+7/wTQAemW10poJ//eoXX3HtI8nCq+M4YRxJXDfboq/yoWuNxKKuvWVFenxzcJdJnCq4ZQ3cdm+dEwsOP/GrU3zsS00imW29JqrypOp5Z+C+xPCeNVWD1Buh1wSTBVGXrska+fIXCSy/yaMssiq3FsmRX5MqubtiLIPXHRVqLE7uqBTsTfaTZbHyFlkOYRBaEScGV6V85xtHOAp+8lenObHglROAvgHIiyUvA3DxbICcyXX5b0TeJmcoNsCissLl10RJcFyB59qcxnJvM4m8+WvbNu7+17C65lzKyTeu29vg6Ye+3Nu+qXVgy8ZG2giygSwT0W1+l+fPtVneEwFnvUtnfXCXzJ1ZgIVcyVjcSTm7rPipX8vB7ZTgFs4a5kaISmBJfQdgTM0tWW8kcgHgCdZej63L1+abM/k3RPZaBmeCwUHYwKyiqatyR08Au9DiVSelcMNkXZObehWi0YokVTgpvOv1I/6fH+myZTbOnJVch08GngkYQ2psrXauyWOTldVSSddXtHeaf35d3jeTcUqVbIwxjMaapb6bDqP2gQfu/1pPiJlvDvD8EYXDH9m2qfV0K5DZJKPJsVv15EjRuDBRDlvo7nXArSrgzktfpcilSVIWUamU1IH3f6rFR7+QM7dcR5LUpYmXZSodUfZYTmYsa8CVFWtw0kGpSpLJowB1eWf8zxD55PyQmquAqH9dS/iUlmCZ/Cm3IsSsdVRKJ6UK8nxzq2qJbZYIMjYR5CTw7jcN+b63DXDSdezDAuT5YUEerQPyPPDUuYVY2JqTsxgv4bIYSLUmjA1R4j29utr/kUud23UB/oY3vJ6Gn6Y7d+02UknKWSWU+1iux8qimqypd+usB+5CkmSFU2UFYcbiIkEqjXDgi/c1+MgXm4RFRWA1U1kFtyilSQ5uqnKk2qVTd1FqbM0lGL3C0IL6N9ZkMf9ipP0N36wXY4kK6AXVaQe15I8uk0C1Afo1a7HcvU3nhVlGVbKhqthBwmY8JV5q+I43Dnn9y0aItMLca0BeMrk2dXelAHlWpKUrTJ7mHn9uSeeMPlGElb+WUrJ7zx6z3A3Tl738NeueX4dLPK6/8Q7CcPyRo0ePXpWGF1vVrfqqjQvVSsFq32Q1K6kuAe4c0FLlrys1JiJBORrpGP786w3+9a9O8/xR346ckpOMXVqCuWtSbhpVHwORp+cLoBf4NPWNXHPs5mAugs4JnbIOoGsG0zdj7glMTyiT8t8JUbyzpj6lGNdQbVA2teciq2mwmhfb+i6yvS61sQ6KRq2RXzYTolAYbtgb8V/+xSr/SvL/a+/Lo+Q46jS/iMijrq6u7lZfulpH6/SJbMuWbckYhIABjBkEvMdyLLzngYHhPhaGmcWws1zDLuAFc+wzl+dYxjZj7IEZsAFfWD7AxkaS5bYOS7bUkvpQ392VlRmxf0REZkRWVV+SLBvm9151VWVlXdlf/uqL73fhZ7/JyQPKYEc7qflsBs4JgjQnB5ELXL0N8nakbxMlJUKAEzNQJOJ4THvbgvFLN238USaTqXuM61KU9o5O8eyhPdetXrVywHMjuK6A65itic2U17S+PQtwG60dkjxvVShMQrnQdAVuuy+LT3y9iCee9pNqeBPclFremxE1jdigJAktMVJ5a1GNNN826Eka02kQnxT3NoFs8XBiRTWrAz3GyWB6Z4FkeFXssXUEM7Xd5OrG9DaLrig+zgUDDxjWLQ3xxfeN4NWbJ6QYbdKVKp08BASv6clDYZa+2YEhM/Kpi4rDSKASylHd5XKErmUrBx5/fPd1Czs764UV6ntwAFi+cjWmJkbR3/sIKEbhK5C7cc8/UbNesja4a+SWEIOiKM5NSQTmcBBHRin/+htF7NqfkeC2opR2bSVUmqolCaJGATEMDg6DhqAGuE0Qp6TDdIDHArehtNRHc7KLKRPK+6aCAkVFEu8MJOqK7c1FnKGnsw61ukKE2WNFV/xQxfApCJX7a7VFZiMKxeWZTv2TH7kCnL2sgs+9dwRCAD+9Lyc/+LTqiqw6CgjiJkLxGDbt9XnyKwXUuy17DjQU8uheuRKlUnHawzwtwIuNHeUwGHt3Z2f7TaODg3nXJdbkBMfsz22Cm8lsQQvczKAkCtxJOD4BN2UccICf3Z/FJ79exG7tuatyTNS1akFGVLtjPZXBqo43QZ3OGKylktS4rsKv+m8Ta2Oy46y5uEaxAfb0Y2kqI3Q0BKl2EjAUFWJSFNWIXlAQwQ2QQwGZKzWGAtxWheJTjgpEkfHZAuCcZRV88X0j4AL49/uziTRogpwIC+gcFIGmMypVNk6nrQHyuGUGdBs7IAg5zulYNA5C3710SUd53gAX4Qne2tb1cNa/fOSp3+/Ocx4hXRhsURKdAkuiuHAhXW5G9P5EU5XQ4N4cwgH+44EMPva1xoSWVEUpTe9N4uR3nWsSZwhSg5qkAGxHLlM9B2P8ktQJkBDzmJKkPblFYFNEPoXpKkBrTyVq7BcHdWzg6qrBBMRQnpfEPbkTCVHEWnistKhgkARW2pNTtY+I0xckyEUM8vVdFfz9+0cgBMEdOzKIIBBPhdDpj/o6/s4S5IJAdeaCxd8FT4DNhYy76EVoBYDjeHjFy188smrlsod7jw1zTGN0ugfzDa3ws439FMH21oXnVVw2Bc+N4LkRXKbaSpgNL43JCibX1gvHGNxWsULyOHeAX/3Wx4e/UsQTB70UuKszBEGInO1pgNsh8qxlqvMSTQHdLFywwJyWAWsA1vTq1QzEKnewnzRbq9K87ZNApC6m5h3ncFjRTVM9sbVzmVWYKCpWSzijzE3njUdKOtQKS3wJCNZ3VfCVDw3jxRdNgcUJWUaCljBK4EQECFlYXRFAmRt55YLIZC3VmqKiquaDkCCICIKQYGwyxOWXnFuZLIfbm5uL/Ys626Y9pNMCnFAfY8MHkC2uPNzYsm5/NleA6wSypYRrTgxO5sEnyVJJOzXNvxOFJEroCamAsgjCIbjzIR/v+3IJPQczRvKUCW4Ki3erUi+PpLrCGlJgreY9NkVJQG93jLWzB2s547iqh8wNx9Ngu4qimIUPSaahqpEVaQ6uE5ZgLCLNxafus5LKNEz3TxGpIolUem0sH+oErYBi9ZIKvv7RYbx04xRYVAvkqVpPBfJQg5wTVTwhF6EBlzleQURQjgimQoLxKY5iYxEbL1i7/7z1yw7vevIgMhl32uM6LcDlP5Fh+PivDwLBNU2ta+C7k/DcClwnhKsmlmmQU2Z4ZTZTmZmclcM8DuEQ/PLhDD74v0voOaTKzWithaQhBypw28XDZqagEYSCAjpmXlSa3rlW/ve0GYQ1XfgcEF4D8MntpCZWqDepkhZjrdz22un7nOvgkRnN1L0O9T60hrpiFjGbIGcS5Isr+OqHh3HlxinQUCVri0q1Rs517xVZHRRyYEoAU5wosCtgc3mZioCJkODEFMeG89diqhxe8/9u23HQYQwzmTPTDoXGLkThGCjL904M8HtZ+ODmMBgDF268OEpaQQhjIWkvKpPbYZxExbwIhwYZdjyWxbXfaUDPwTS4kyY9Fj1R4HbTerfWukkdQFd5cVEXvNpjCyQ7JBiuh2AR+4x0AcR0mLYy5+IHE7XE3FkYyrQd2VR9AQ1uHlf5CCjerbfLyh9Qpa7EPceBZFwxB7ji5OCq1bLqORhz5uTjUkjsrllawXUfHsanv83x4GMZHBpwAS+UH5Jrfq4uHLHD0gpLpOIYUgXTgxgoypUITY1FXLBhzb1vft2lvSNjk2hsyM0I8Bk9OAAwp4Dy8J17Xb/hulzpPDBajr223Yc7ir24XY2TTpwKwTIRenpdfPb6Rrz/7xvxZE1ws+k9t8m7DdUkGQ1uLzJrFg5rYCN1IqD6cZigTXt32CdGsvvs3XnsoU0eburdKY6tAV87nF+DnlR5dZummFHPpPJHUxUSRzST61TEk1OIgGDNkgr+z8eG8LfvHcaqRYF0yel8cusSKa1cxLx8igOTgmCSE0xEsiztJZvWoVQqXPeD2x/cOxtwA7Pw4DHIM6vB3NLDbjB+q5c/dnVlYo/0rgLAdN6bcJA4eSqUfDwjsLfXxWe/VcQtd+YwFTFbCqT1aImZ/mr3847rK632a4m3rlpcGrk1ZgRT/6mmLfrnysRsmnwrSAvr7rQw195baAGlhuKSvjaBGnts/TrxYlJ2cJW7aC1cdp8FR6yWENVAU4bIZVsLrjw0UVmIlFPp2Hms7yUeXF2L+EMS0DBCe1OEt7xyAr4r8JnrG7HvsAfUDDhqb87jX2hOiMpxV3uEETZuWImXblp76xUbuh8+OjAya6cxa4C7mS6Uxw8cdItbP5CduJ/5hL1mqhwgilwjPTaqAjghensoF6CewL4jLq79VoMEN5icX0jMBWXac9u0xAS3TqQywW3OsaQQ1dQEKQ9c4zqNSCLsxWRNHj4Tmqezelo4bHlQJeHXALxBQVLyYCK56XRa3XqCxIxEglXq4JTyWKIDpwDlEJyCpmhJ/D1Vw3t9UAUAUQZ8h2P7SycBAVz7zSL293qAm6IpsgGdgqJIXhBUnuxhhLzH0N5SuP2/XnXxB3Y+deTQOasXYbY2K4qizc8vx4EDvzp0pPySJ/YcW4HxSe3VRBLMsYI3SZ9uRiNQn+Pp4w4+/c0G3HyHArdjeO2Yb88e3MzywOnRI8ICrdVME4ZyokGtkFursNj03JaSov9OC+p5IF6YXrFGjorBvzXizUWo7Dpr0h2ziRNiaZGLVLhe6MVmiq7oFhSpLlkxNVESYhQxRJFs8hmFFBkh8Matk7j2PSPoalN0hUc1aEpFba9ACuPyqHkswBuuLOJv33HWznsfvGtO4Abm4MG1NbdvBqXOVKXMp8ZO/LNDyXEn4yfKiF5QalpCiJQNA07wyOM+vnlLHjfdmUNADHBX5XIbsuBM4CbCoiUJMEWKhxvgNvm3gT99EqRxaQO+Gsxp9WUuIDa9cfJq9sRpWz2B5NcE8X5mmZcgKqFKjVmIvTgxop7ac8dURDoHk85AeWzOuaIh0pMTThN6YnXKlJ5Gx2uIHndTieA5HG986SQQAdffksejT/ooc6beWF1TLj8zZXGQKUuBFy1vweXnr/7RReev/6KY6p0rXOfmwQEgm3GRzZAvZQvdi3y/YQejFL4bwPcDeF4Axwmk/KcHrzockyD4/s/yuPpjzfjRnXlZrODUCtwYLY7nCG5mgTjV6sFof5ZeEKbpCYBqupICbxU1qVJM5u6xLR3ccNe1pUAR37ZfxEifBbEWq9ULTqIllaT5Drc9eSIJVlfmW8USxkIz4gyCU0RC6+YMYcjgRsCbtk7gti8P4u2vGkOehHYQiIdAVAEqARCUISoVuIwil8ned/E5K995y092DNPsWXM+rnP24HmfAMD4+Ikd42i4ujLaez0mo3FMVWT+SUOWw2VyzAVxgLGQ4Ac/yeNvvtOAoVF3mkIFu9xsPuCuFdxJuDh0FvX0mYPmlyUpwJogN08AU+abia1Mh3DYr2VJhNb7qAJlouVBUxo0c1MSr255cSQ9fOQiEvHANR1ZTxaQ1Z6cUq462ALWk/WBAUCNXB1OAUQydaO1IcLn/3IUjAI/vC2P8YoAHA4Eslq+IQswUgbHJJYu6MJfvuPVwf5+OrH96k3zOapzB7i2XGkthOAPPfrEFZu+9+PJbDA2gVwmxOUXBnjJRWUsbOR46piD2+7K4PM3NGBo1FHjk6cDthPzhCRCKaVA3cdbl5ylwa3bHVeN2iY1LqiW9CxQp8SS9AlR6zmn0pIgD7HIiuXhDTAjBrFCry5PjymKMOqUiVUeaeRtSeBzleBnqSRU5W0L6JbJgujekwSgkXGGqOcZ2io1t4cczYUI/+Ndo8i4ArfflcXe4wydjRxXbizj8gsD5LwIYaWA3IK1kxecs/IhSuZMNGKbN8AJacL+wxOfaljwenFo4MSH7r/3wcxEQPHPd4R42yvG8fLLp/Dtm3K443c+yhGbAdxJyquZW2IWDDOSJFLV9NK1wA1jIWlwbzPHpJaKYoI23lYVjJnGVc8H8OlfAgPVseyt9W0NMkFiwGkVM+HcEvAa69CLS11fa2jnnMuor+51Y+ZIaZATLsm6IBxUE3fddBNQnlx9ZENdEdz4QibI8xE+995RvPiSAN+6KYdXbp7C27ZNotgQYXCEAOKiqaZl275KGf8bQqZPiZ3O5n9qAFixKMf3/OHX1169ueVLW1+yJICXw8iYj6ePUBw8yrD/sIPyZL0sQAPcauJCDG7V2tgEt6lzpwe1shS4KbWzBataW9Tw6qZrTnvwNGZJjPhp8DoXkFcloRjb49uk5mMx0GGE6oEq9SRpHmQEfZAkbOnQvDVRmaeLIUhNdSVRVZJiCTOsL7m5k3TR4hQ8AjIZjpWLInR1RFi2MEJjniAcz+KZY+djgL9x8OCz458jpDRttuBMNm8Prq1vYjxYuKT0hRVHVgWbzt332YvWHqBvffko1nSF+MVDGew+pBgwTYObJuA2PTeSxCmXmAULts5t1k1a6a4GuGtOR0stFjVWa1IQkt7ROAmgQ/ekLnWZjbIirJ2NjWbQJ+XZa4X2hfosMddQHlwYv0A6dA8kASD5kHx2rKoYL085wInqrKB0ckLlylRzeqpTYSmSgI3xAalSbOItKkUAEUfPPoYf/nsOD+3KYedujpduaOUNC9b/3YLO83o8LzNtrvds7KQB/ldvezv+7We/mHzJhR23bj2/+JllpQNY3y2byLiORk56YUmNgI4CN+Q0Oy8Veo9zTGgt2U/YYE6DG4maojGUDtGnU2WB9ImQcJlpgztIPV5/txQokztVHZ2M/fS1ota2Hq6pCTE9t5o2oSuD1GpYqICVqcZwEFB9m8vKKLldfoO4UZ8KBhGlAxJNrvWZoVNxrIWnWnRSWYKmjRIBCI5KCEyWGR7ZXcDAiQyWdl0hNi5a+i/7dt67a+OmbScLz5MHOACcv34JxivLnmor4D2jQ5d989CRn9CFrYGSsWpwbrNvoKrEMcHNiGqzFlOQZLJBAuCkIp7UAbcEcbXuncKzvF3HA6epyikP6NR7U2WmgGKZsbgkJl+JfzaEsUnxcSQniXws+Yngyv/HTlgdR07s20I5chBV7kY4BFHd8eOKnNTCU5kJ8ogIuDyK4wqLFpXxulddzrOlNe9ZtWr1U489MXfNu5adFAfXtnjZOqxe8kRQ6rjshh/e0fSRB3vWgYfqx5sygHkA9SSwjdxuPSbb8tzUTn/V/QQTT45kZqe+1AG3XljCAHitesvantvcYeaTYWZw24+nNWyRekykHxCp2+mzALC5N0iisJjbgFgDt3l6EuSxNHF1iYykLM23eWQkY/GkqVAU91axC5kTfi6jnULtI0KGN23twLuvCj6yr/nCG+74XW9w/nlrTwU0T40HBwCS2YBnj/RGb3/Dm/Zlo/bRJ/YPNBwZqAAsCzAfcQgeWi2RgM2kwB1XwxvRSbOniUU/UoAlNcBtdom1YGEqKqjDzdPfsebGGjvPx5HX0MHn8lRJPUT1dkUxYmqOJAOEQOamxFlZhv7ICVQvQ2F48OS+UO5ecNlsH5RDKKLDKEcUy4a2J9dT4ThnCCpAazHEZRc1Yd3Zrx1dc/YF+/5i6GhUaj414AZOIcABoKmYQy7/7O3Axe/9+e8qXz0+dE8znADMcVX3JWUEhhSYAreiLNRSSmw6UivHG/o27PpLkGqvDaQBT6q2z2Rkuge0Fj1LmwumLT49zQvJOBCJZUTNpROiopaktUi/Klgm6vQgigoli3l9Msk6gFi2jN8JKhikuCN4XPOpPyYEQRgSnLuqgO9+duvgBN34wZ8/OHT7JetLsz5us7FTCvB8oREAcOjoyI0v2/JK58hAwxf/4Za7W585NoIR1bILkAB1UQ3ueJy2BreZY5KmH0iBGIg9WC3w6yNfna9dh2sD8/PEmElArLGzfvMZkB4/rByuBGjyneLgkNK/kX5cGHzd2F/KSFBauYgzJ7W+TgwnT0wvLp+iAj5mZEgZBYiumifJKMqIUwQVF4IuxILWbX2r27f9N4jgRkKXzO+AT2OnhIOnbWlHEUxUvnfN6zd98r9sW9tXynLwShQTT9mvBFYut566EI/zU4NhNV2J9fBUMUMS4DHnddahLurz2YCob2Se207BUrO+Nj6Lp6Vvm01TLS4Ok3snrd5i3Vw3z1eXSLV60xp3pIYiRIYOrvdLF1LoLEZCBHy3grFJF+Pi0r5s87ZPVsr8e4Q2n4qjVmWnBeAA0NJcxD13//qG1V2Fj7/lVYXB9oZBgPMYcBRJYx49aThZUCqqQmXCYQxyY54mM/sfahXF6C9YnQabfDbL+8/GSM2bpwjJ9c0C6Em9L6lJZ+LQvVTs4gr7JLiTBHQ0eHXAJ4qIDe7I3i+KZEVQMp1PfmiHRRgYncCjz3QODow2f3zH/ffd4GXmH6mcyU4pRUnbVVe9Bsf3ffmHyxc1BU8cZt/68S+HGrgqFLWikDRFT6jRbo3aRQtA7WBMvap3vc0E+zzWcXN67pxee74L0jk+LxYONdKVvCgpTKqgWWno9v6Q1EVFxXQ6siymUE17FEXRdFF30KKKTwlBEEUcZfoirFj3jj6QzD9evqF7Hgdg9nZaAQ4A1/+8gzc1ej9atHA83HR+/w9+8/ihDPckyJmxqNTThvWICjO4k44ymv/bKueWXi+lnjBfpzufk+LMvnC9t4mhHisvZo9DvU9cAod49zhyK2MLBJzIgbSUAlRRkbjhMaGqIavS16mAECGEe9ZUye++Zu3K1QcYc8PT/b1nrrs/Sbvrpz/Guo3bxYqF7XvKnO/2HHLVkd4Bx3UcZJmARwUcJqdHuMwYrc0MsOuWzWl+nQZ/LXADKZUFVlQyUQVQ50Lq7Efia/m5SLwtvk31fkRtm/696DTbaN3PN8dL6njASDowYQxUNwWyeoxbFUL2Mj3uFaPWV4xx+M44MoXuKeovfYtwlt1cGb7vYKHpwtMNv9MPcAB44M6bsWTDK8WrX3XlnuO9zz7puc6rhgZH3awDeAxwNbgV0B19m8ohDibIzYr5qn+W+U80UG4CPfbo1vNqg04+XgvU1QAnNAGxCfa5AhwpMM8IcGrvW7/BUT2AmyY3WAEg6Glt1Ar8xMCP+XVyghBjwQ8IUBoi37h0IltY+PbAff0tefpbXlpat2f9KbXnBOAA8Ltf34L8wrNRGme7O5eWDuRcsnVkeDTjEA7XkWPhXAPcrhq/I3m5BEgCoGpt26IvKY5eC+Cm148nONTz4LMBOGp48HkAnJC5AdwePS65b7zYVsOdKBXV3xspgKerh6pUlVojUZRKEnOZBNxEgZsQAje7fJhlVrzrrgdKPzpr2SPIdn7ouYLdcwdwAHj07p/g4j97PZZ3lnYu7Gg60t3VvmV4ZDQ3PjEB36VwHQls15HTtBxKwBixvLikDDEb1Bi2YitpymJ6c/Nx21uTFOjnCHByegFe67a5P9XjV3SrDFrjBABgRjtNrVybNUkiHa7nBDzSUqEhLXICrpQaeUIBBCE8v4SmtosGsoVFHyS0+I+dbaNo6vrgcwm552J5U9uO9w3Bc5133vKz33zhn275Vev46AgKWQpPefOYkuhPaeYvx1OXgUgINbLDTiQC7OqXKk+vtiUFEiTR1y2tnRgTdlUnW6pArK71fUp1CoLMkKQ0ATvT9+PtsK9pMnU5zrVRt/V7ysG5xgKcmsO/RBIYixfn9phyQNT03jbA7bwUKQMCPLK18hhAOp2CCbiMw3M5fLeMYjGPzmVb+1oWbfkE5+F3M9mmM4Kz066i1LO21hKGRse/u/01mwmj5PO33n5n68T4CDyXwWUSECYXBvTMFoFIex4AhNueiBDjH2Zcx/lJOrJnVsoAVrMeS0GA8RrC/jzPlZnvSeIvFsct433iNAX1heSvkbDWG9N9/nRabjwYKiIII4JQz/MRpnpIYoBHDAjDCH6mCR3LXtzXtnTLJyHEdz3/zIAbOIMAB4BSQx4jo+M3vGbbxWFjnn3lzl/e0zQ4OCilQ1b93+BCgEcElUhqr8TIL04HRUzpS5ueRSqgPLfJO0kq3zqVdy3I3H7uTut5QOrcNTi2zNsxpsZREZ/FFvU28sNjqqe+r+xYJTMJQ9W+OFKe3DRNkVyHoFRagMXdl55o6dzwMc7xA9crnM4jMaOdUYADQLEhj0oluPHKLRcO9h0/ujIKwy89/NuHXc+lMRfUNEUIgjASEIFAqKcNCCMUnQJ1FejVfaKy5ahKYzaTOuKU0/i//RwJ1fqzzWHHZL1ge24gze31mHXjDeLsQqFSqvSvXJxBrtY7sjlnJSIoBxSVKP0/AcJQDj4497wNFc9zPt659IJ91Mn+1HXd2X6b02ZnHOAA4Loe3737yduvevUrvKcP7JtoavSv37nzD+TE8ISsGSFysUkIQSXk4ByYCngycUugOpytLP45NdJF1V3Vpkze0X1sLM5v7jxLnJ/MqTCr1JPUwjm5Nsv2EkDLiXdqcUkSLy3fUDYQMrNl9UJUgABMxHQtqFCMT1IEoXwPvU4KI4FIZPi61WeL9oUr/2pV94rv9/UfCxYuXnXywDgF9rwAOACsX78Ge/f2BIsXd9zouvyuiYnJNxx8pvfvjvYeRSHvIZthcB0CLjiiSKBvKMJkICxeTCz02gtPfSEpgGiQ6zKvOOuNWC+V2DwSoKpeYpqTZdqXT31PU/qT2+2+L7JHpA147XWF8QWN6L16XQFQAQeAy+Sv2tF+hr6hCEIArkOR8YGMG6GtrR25Qtt/b25bclO+2PbM/kP9wZrVq08NKE6BPW8ADgDd3asBYPKmm/+155ILz/5CBN9raCh8amz4KMt6IYp5gZZSgPPW9OMbt+YwOOajkOFxhmH8DzcWmrotQlLJojydgMqfgNFtNWEkdmnXLMyQJRMvK2+YkuVsrF4iYdW29PRpJGDWygqjSg8nRoEaMY6LINbaQ39exmRD1XwmQvnEFO58xIODHJoaKHI+RUtTFmu6u6KOjgX/M6TLvxBN9UZdSy997sAyS3teAVzbG7a/Djf+04+ja9755k8PDAw4jz+64yOHDz3mN/j96Oo8gbHKEI5NZDBRpvAdAeIIUFXIbcmBCimJvAXACCNTPYgUip4IWJ1ZZ5OjfbI2lx8EUutOlW6fpA+bE6lNqVBPQ+bqrBC6n4kwX4fDdSIUsmU0RaPoHSlgbMTHqk6CVV1FvGjDBeUrrrjsfzU1tXz6od/cho0vvur0HaSTsOclwAHgrW/+c4yNjQIi+tRFl2ymK1cs3tR38Me02NC/6fv/Kpx9z7pY3GBXtRBIjVj/DHOiRkRzIOSJR9baN6MKwbqPjYAlgc1k9RzzfFiMMG9YFClp01br9c1EWBL3adfeW6iOv8kEDkJk5XxEKLgQccBGHxtGheUIQg6s6KzgFZf04/YHO8NMQ8OO7dtfw9evWbGDc/Gp0dFRNDQ0nG44zNuetwAHgEIhPnCfHB24G0sueWXr071DPYOVh0sthVEwjIFRagVmGDPkvRAIIEfFBHr1bzQQkqbCyyKZRyqmAzqZ4T4SqjSjaTpkUKP5GIEGsBHoYQm49SQ8DXIhCCoRQxjK/O0wlOMC45I0gTinuxwAIW/C1Ve08FLH+puPDrf+xX88uHf00otf9BwiYf72vAa4aSS/BYGDieKC6Lqtmztdnz68LhwbvLqnZx8oGCilsX7uyJbimCICfSMU/ROymbpDZY9DlwGuSOQ0zmW9YbwgrcFLpvPKsURn5gvED9Z/3kyYNiOx8ZpA1HmOKRcaQHfiqdTJiEfp0RmGQHFi1MdUIFNbXUcPMhAIKkA5EMgX10L4mVvPXX3hzgs2L/0axOQooevONBxmbS8YgBcyBADGAXy6Z+8hbNv4+q7Hdu7B439ov/ruB3ahf2AYxRyD6zjI+AS+S9DMCJYunsAfjlTwyN4cCHFQcAiyQkAwwOyZQrlcdKY1dG3EuiR5JcmjtReTc3LKNRAvauwiUqtQOwdHxEN4GZXgdlkEx4nguSF8rwJKy/j9Pgd7ns7CIw4cRpHxOLIZDodGIKwML9OIhpZz0dy++tbWztUfnJwaP+jlT33N5Om2M5aLcrLW198Pz3W7dz2x/9y+wfEPPPzoni1P7nkSPBxDqeihseCicwHBxrMGIJxefPQbDfjt/gXI5Fw0OkCOCfiOvOiUXc8xMxmJkbJLVF6ImXei8kqIfa1b0On0WZ2/Yu1DdOKYnYtSK/9E55cwlTpMzbI9JlR6sby4DofjcHhOBNeRi0TXDeE5ITy3At+roLEwgcefruD9X+8AC5tx8SofHS0OSg0CeT9Ae2sGXctWotS69p4Ixa+VWlY8znllb7F4emomT7e9YDx42loXLACAvUKIvQB2loNK5+aL132756knu3v27GaFLEFLkcN3HXQvYXjtZcPoOZzFSKURDqEyYYnL1tQRFXBSwSKSukFS2+rldEj+bXh01FmIGqkAcgOMhWX6OcbMdp3CWoc06YAPVQtMR3lvx4ngewEmgzJ+cn8OOw804qx2isGhCrIeQSHnYcmKc6Lly7v3+s7kuzqWXt4LoIeQF6wPBPACBrg29Q/o6esf6Imi6OXFhsyiLZdddPOux+4v+uRQXoghMEqx6ZwyFvw0wMgQx1RE4RAi+45TCXLBpqElmo6QJN1VP17vN9DCRY190nkvdnpHEm+0eg4auTTmkClYSoqmKSmKwkK4jOP4iMADf/BBI4aIR2BuAUu6lo1v27p5hJFwe0v74sOUsoMvdGBre8EDXFvrghZwLg62t7U+MzI6flYhi0t8d+P/FVOPhYLe13zXY6RhaDIPgCAMI4wLCpcQeMwM9euFZyrvG6hxIUly0zSfi6TPgjmoJdYJAB2IShrdJ+O7k66x8j2VTMh47LkZDRBGQEPGw5UXcPQHzaNXXXHW4LZN3U4241yzePGyB7K5/DAgODmJhvPPN/ujATgg+S0APnyi90RrW8fPg6nh1aLvX8pY/qWPjtEH37q0q7dSHJlaG0wMZUYmRjEW5JFlQMapTlCqVUVDSapYoc7nSBaiCVWxsgiMCGm1907MiqYSNbVYpQfrocHcALkdzBKgJILnlCHIGFw/j3KlNOX4DXve9+aV7uuu/rMbzzvrS19+484NfnNT41Tf4Ajvyp/ZzL/TYX8cv0PT2JHeHmR9h3zmW/eCeUXWUspfT8NjqwcGnrr8ll8GjEYBMiSEgwDFPEHOp7KETvdkYQQOI6rgIFkwJiA3IqNUFTaofHZdamf+GuijLhOh9KIS8SKSUaM6J3Wy6eik3NdYYDpyLpLrcPhuBVm/jEJeIONzNDVyPHG0PVrT3X1fIdPSw8OR9wBj0aB4LQgqout5khR1uuyPHuBpE+IYAL/pyPHBz137tbu9PT2HogVFf0PW5ReMDvUhmBoHYwSey+AwAs+lcBxZPkepTV9oiqdSpbg4lMYnhjwZUj25lV6uAa5PJocBzEHcpStdqKCzAlm8P48vQAhGBIrFDNraGpHLVH7HyOgjxVIXm/CvDgJ0/DXF1ImVS5rO9L/gObU/OYCn7R9uvgsg2BJVgm1heWz71NTEmrHxSezc/RSIiFAJyvKn3qNwHQZCVWMbJfvJQQV60gGB6xC4DoXrUAPgOqAk9zX7b1OqCq4dwHMA15VeWg1AAFTvEl2+F3EOwSP4Lkc2S5HxfeQyFK2d3XDcLHLZzJOlkn+z57m/gBD3tC192Zk+xGfU/uQBrq1/YBAAXl6phCuPHR/g3/neTXzJwgXL29taPnHk8LPI5zz0Hj2G432DAGTENJf1wAXB6HgoJ1q4BFmfIeM7yHhUVSWptnQMCCNgYoojjAQclnh2hxFkPCDjSVrhuwJRRDA8ThFFAoyGcB0BLoBsrglNTW3w3AoWLVqI8dHBL4RB/4HzN/45zeaaKXOcfQB+ni/8aXnqevafAK9jvb3H4ft+6dnDvVt27dqFXM6tuG7mQ1HEX8a5nK++t2cnKIYwPDaGx5/ysaCRwnM4XMbRkKfIeMDElGQkrSUBkACPP8UhOENLyYEQwGSZw/coinmG5kYXTY0MCxrL+P1+jsFBD51tjdh40XnwXJkuKUDuGBsrf8X3QnflyrVoaum4J6wEQw2NrWf6kD0v7Y9KRTmV1tnZBgBDAG4DgMNHegFgTxTxdiEEj6IQ/ccOwsUoPE+Aw0WlElS2XLbx2kow+eqcH1YaCwLHBznKFYauDgHqTmBEELjEw5J2F5UwwvHBCIUcRUsp47Y0F/7t6DOPXJvPMXe0zDFeJvD8PFZ0r4PvugAIpZQeA3CgeUHHmT5ELwj7Tw9+Cu3e++4HIaR9cLCvMeMEoqko0NvPMVVm6OoUYO4Eduxi8ImHpR0OgiBCb3+IhhxFS3OOLFrYPiyEOHbOeRef6a/yR2P/H4eGc0ok2bbtAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIyOjE2OjMyKzAwOjAwF1LtMgAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMjoxNjozMiswMDowMGYPVY4AAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 132346000
{'hecke_orbit_code': 13510798915673924, 'n': 1, 'trace_an': 8}
-
id: 132346001
{'hecke_orbit_code': 13510798915673924, 'n': 2, 'trace_an': 0}
-
id: 132346002
{'hecke_orbit_code': 13510798915673924, 'n': 3, 'trace_an': 8}
-
id: 132346003
{'hecke_orbit_code': 13510798915673924, 'n': 4, 'trace_an': 0}
-
id: 132346004
{'hecke_orbit_code': 13510798915673924, 'n': 5, 'trace_an': -5}
-
id: 132346005
{'hecke_orbit_code': 13510798915673924, 'n': 6, 'trace_an': 0}
-
id: 132346006
{'hecke_orbit_code': 13510798915673924, 'n': 7, 'trace_an': -4}
-
id: 132346007
{'hecke_orbit_code': 13510798915673924, 'n': 8, 'trace_an': 0}
-
id: 132346008
{'hecke_orbit_code': 13510798915673924, 'n': 9, 'trace_an': 8}
-
id: 132346009
{'hecke_orbit_code': 13510798915673924, 'n': 10, 'trace_an': 0}
-
id: 132346010
{'hecke_orbit_code': 13510798915673924, 'n': 11, 'trace_an': -5}
-
id: 132346011
{'hecke_orbit_code': 13510798915673924, 'n': 12, 'trace_an': 0}
-
id: 132346012
{'hecke_orbit_code': 13510798915673924, 'n': 13, 'trace_an': -4}
-
id: 132346013
{'hecke_orbit_code': 13510798915673924, 'n': 14, 'trace_an': 0}
-
id: 132346014
{'hecke_orbit_code': 13510798915673924, 'n': 15, 'trace_an': -5}
-
id: 132346015
{'hecke_orbit_code': 13510798915673924, 'n': 16, 'trace_an': 0}
-
id: 132346016
{'hecke_orbit_code': 13510798915673924, 'n': 17, 'trace_an': -3}
-
id: 132346017
{'hecke_orbit_code': 13510798915673924, 'n': 18, 'trace_an': 0}
-
id: 132346018
{'hecke_orbit_code': 13510798915673924, 'n': 19, 'trace_an': -5}
-
id: 132346019
{'hecke_orbit_code': 13510798915673924, 'n': 20, 'trace_an': 0}
-
id: 132346020
{'hecke_orbit_code': 13510798915673924, 'n': 21, 'trace_an': -4}
-
id: 132346021
{'hecke_orbit_code': 13510798915673924, 'n': 22, 'trace_an': 0}
-
id: 132346022
{'hecke_orbit_code': 13510798915673924, 'n': 23, 'trace_an': 8}
-
id: 132346023
{'hecke_orbit_code': 13510798915673924, 'n': 24, 'trace_an': 0}
-
id: 132346024
{'hecke_orbit_code': 13510798915673924, 'n': 25, 'trace_an': -5}
-
id: 132346025
{'hecke_orbit_code': 13510798915673924, 'n': 26, 'trace_an': 0}
-
id: 132346026
{'hecke_orbit_code': 13510798915673924, 'n': 27, 'trace_an': 8}
-
id: 132346027
{'hecke_orbit_code': 13510798915673924, 'n': 28, 'trace_an': 0}
-
id: 132346028
{'hecke_orbit_code': 13510798915673924, 'n': 29, 'trace_an': 8}
-
id: 132346029
{'hecke_orbit_code': 13510798915673924, 'n': 30, 'trace_an': 0}
-
id: 132346030
{'hecke_orbit_code': 13510798915673924, 'n': 31, 'trace_an': -2}
-
id: 132346031
{'hecke_orbit_code': 13510798915673924, 'n': 32, 'trace_an': 0}
-
id: 132346032
{'hecke_orbit_code': 13510798915673924, 'n': 33, 'trace_an': -5}
-
id: 132346033
{'hecke_orbit_code': 13510798915673924, 'n': 34, 'trace_an': 0}
-
id: 132346034
{'hecke_orbit_code': 13510798915673924, 'n': 35, 'trace_an': -15}
-
id: 132346035
{'hecke_orbit_code': 13510798915673924, 'n': 36, 'trace_an': 0}
-
id: 132346036
{'hecke_orbit_code': 13510798915673924, 'n': 37, 'trace_an': -10}
-
id: 132346037
{'hecke_orbit_code': 13510798915673924, 'n': 38, 'trace_an': 0}
-
id: 132346038
{'hecke_orbit_code': 13510798915673924, 'n': 39, 'trace_an': -4}
-
id: 132346039
{'hecke_orbit_code': 13510798915673924, 'n': 40, 'trace_an': 0}
-
id: 132346040
{'hecke_orbit_code': 13510798915673924, 'n': 41, 'trace_an': -11}
-
id: 132346041
{'hecke_orbit_code': 13510798915673924, 'n': 42, 'trace_an': 0}
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id: 132346042
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