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{'Nk2': 5352, 'analytic_conductor': 10.683983790447316, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [223, 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': [1338, 1, [893, 895], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 7, 'field_disc': 85836757453, 'field_disc_factorization': [[3697, 1], [23217949, 1]], 'field_poly': [-8, -2, 47, 51, -8, -18, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [264, 304, -316, -91, 105, -9, -6, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679890234, 'hecke_ring_generator_nbound': 11, '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_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1338.2.a.j', 'level': 1338, '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': True, 'level_primes': [2, 3, 223], 'level_radical': 1338, 'minimal_twist': '1338.2.a.j', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{3}+q^{4}+(1+\\beta _{4})q^{5}-q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1338.2.a', 'trace_display': [7, -7, 6, 3], 'trace_hash': 2167045380973877189, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.042', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.285', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.207', 'prec': 17}, {'__RealLiteral__': 0, 'data': '118.775', 'prec': 24}, {'__RealLiteral__': 0, 'data': '94.645', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3910.709', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [7, 7, -7, 7, 6, -7, 3, 7, 7, 6, -1, -7, 8, 3, -6, 7, 16, 7, 2, 6, -3, -1, 8, -7, 19, 8, -7, 3, 4, -6, 11, 7, 1, 16, 0, 7, 17, 2, -8, 6, 18, -3, -1, -1, 6, 8, 5, -7, 24, 19, -16, 8, 6, -7, 21, 3, -2, 4, -7, -6, 24, 11, 3, 7, 11, 1, -4, 16, -8, 0, -7, 7, 28, 17, -19, 2, -2, -8, 0, 6, 7, 18, -2, -3, 4, -1, -4, -1, 5, 6, 2, 8, -11, 5, -14, -7, 23, 24, -1, 19, 26, -16, 14, 8, 0, 6, -10, -7, 10, 21, -17, 3, -10, -2, -9, 4, 8, -7, -47, -6, 20, 24, -18, 11, 3, 3, -14, 7, 1, 11, -30, 1, -4, -4, -6, 16, -14, -8, -7, 0, -5, -7, -9, 7, 0, 28, -24, 17, -59, -19, -11, 2, 16, -2, -76, -8, -1, 0, -6, 6, -20, 7, -29, 18, -21, -2, -28, -3, -19, 4, 2, -1, -33, -4, 15, -1, 7, 5, -48, 6, 50, 2, -24, 8, -18, -11, -19, 5, -3, -14, -53, 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-
mf_newspaces • Show schema
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{'ALdims': [4, 5, 5, 4, 7, 3, 3, 6], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [0, 1, 1, 1, 1, 1, 1, 1], 'ALdims_old': [18, 28, 21, 26, 25, 20, 28, 18], 'Nk2': 5352, 'analytic_conductor': 10.683983790447316, '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': [1338, 1, [893, 895], [1, 1]], 'conrey_index': 1, 'cusp_dim': 221, 'dim': 37, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 33555770, 'hecke_orbit_dims': [1, 2, 3, 3, 3, 3, 4, 5, 6, 7], 'label': '1338.2.a', 'level': 1338, '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': True, 'level_primes': [2, 3, 223], 'level_radical': 1338, 'mf_dim': 228, 'mf_new_dim': 37, 'num_forms': 10, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 37, 'sturm_bound': 448, 'trace_bound': 3, 'trace_display': [1, -1, 6, 0], 'traces': [37, 1, -1, 37, 6, -1, 0, 1, 37, -2, 4, -1, -2, -8, -6, 37, 2, 1, -16, 6, -8, -12, -8, -1, 23, -2, -1, 0, -2, -2, 0, 1, -8, 18, 24, 37, 2, 4, -6, -2, 26, 0, -16, 4, 6, -8, -8, -1, 21, 15, -18, -2, 6, -1, 0, -8, -20, 2, 12, -6, -42, -16, 0, 37, 20, 4, -4, 2, -8, 0, 0, 1, 34, 14, 1, -16, 16, 6, -40, 6, 37, 18, 20, -8, 36, -20, 2, -12, -30, -2, 24, -8, -16, 8, 32, -1, -30, 41, 4, 23, 30, -2, -16, -2, 24, -14, 28, -1, 50, 8, -14, 0, -46, 12, 40, -2, -2, 4, 0, -2, 53, 14, -2, 0, 60, -8, -24, 1, -4, 44, 36, -8, -72, 4, -6, 18, 58, -16, 32, 24, 32, -8, -24, 37, 44, -6, 7, 2, -34, -15, -24, 4, 2, -40, -56, -6, -10, 8, 10, -2, -32, 1, -28, 26, -24, -32, 0, 0, -25, 28, -16, -16, -66, -6, 56, 4, 24, -14, -52, 6, 26, 32, -46, -8, -52, -8, -8, -8, -8, -40, -32, -1, -62, 34, -4, 21, -10, -12, -96, 15, 0, 42, -48, -18, -68, -8, -8, -2, -80, 0, 0, 6, 8, -28, -64, -1, 16, -10, -10, 0, 4, -14, -1, -8, 23, 18, -20, -20, -2, -8, -40, 2, -6, -2, 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-56, -144, -20, 88, 234, -36, -2, 64, -2, -80, -8, -104, 26, -200, -40, -46, 16, -16, 2, -14, 80, -96, -6, 32, 68, -120, -2, -22, 0, -122, -56, 54, 38, 72, 12, 24, 88, -220, -12, -228, -68, 26, 0, -78, -14, 168, 0, 80, 44, 104, -6, -147, 52, 28, -38, 44, 72, 88, 53, 32, 100, -172, -1, -64, 144, 38, -42, 138, -76, 48, -58, 50, 132, -280, -2, -12, 108, 176, 24, -96, 8, 104, -16, 12, 144, 136, -36, 338, -212, -14, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46783465
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679890234, 'source_is_minimal': True, 'source_label': '1338.2.a.j.1.6', 'source_level': 1338, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 6, 'target_hecke_orbit_code': 40532396679890234, 'target_is_minimal': True, 'target_label': '1338.2.a.j.1.6', 'target_level': 1338, 'twist_class_label': '1338.2.a.j.1.6', 'twist_class_level': 1338, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46783466
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 6, 'source_hecke_orbit_code': 40532396679890234, 'source_is_minimal': True, 'source_label': '1338.2.a.j.1.6', 'source_level': 1338, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592208338862, 'target_is_minimal': False, 'target_label': '4014.2.a.v.1.2', 'target_level': 4014, 'twist_class_label': '1338.2.a.j.1.6', 'twist_class_level': 1338, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1874975
{'charpoly_factorization': [[[-1, 1], 7]], 'hecke_orbit_code': 40532396679890234, 'p': 2}
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id: 1874976
{'charpoly_factorization': [[[1, 1], 7]], 'hecke_orbit_code': 40532396679890234, 'p': 3}
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id: 1874977
{'charpoly_factorization': [[[264, 304, -316, -91, 105, -9, -6, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 5}
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id: 1874978
{'charpoly_factorization': [[[1536, -448, -736, 224, 101, -32, -3, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 7}
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id: 1874979
{'charpoly_factorization': [[[2512, -2384, -305, 624, -8, -48, 1, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 11}
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id: 1874980
{'charpoly_factorization': [[[16, -22, -109, 63, 90, -4, -8, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 13}
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id: 1874981
{'charpoly_factorization': [[[-6336, 3792, 1852, -1536, 173, 63, -16, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 17}
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id: 1874982
{'charpoly_factorization': [[[-6064, 11368, -6947, 1161, 258, -76, -2, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 19}
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id: 1874983
{'charpoly_factorization': [[[18112, 12920, -8780, -426, 715, -67, -8, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 23}
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id: 1874984
{'charpoly_factorization': [[[1008, 386, -1289, -91, 480, -102, -4, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 29}
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id: 1874985
{'charpoly_factorization': [[[-15488, 31320, -12716, -438, 779, -50, -11, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 31}
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id: 1874986
{'charpoly_factorization': [[[-124128, 74936, -5182, -4793, 960, 21, -17, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 37}
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id: 1874987
{'charpoly_factorization': [[[-412192, 260232, -26972, -11166, 2397, -43, -18, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 41}
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id: 1874988
{'charpoly_factorization': [[[537552, -606088, 769, 23496, -202, -282, 1, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 43}
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id: 1874989
{'charpoly_factorization': [[[1909248, -361015, -109406, 19073, 1538, -268, -5, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 47}
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id: 1874990
{'charpoly_factorization': [[[97956, -27296, -23755, 6491, 802, -182, -6, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 53}
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id: 1874991
{'charpoly_factorization': [[[59056, -60952, 4379, 8600, -938, -192, 7, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 59}
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id: 1874992
{'charpoly_factorization': [[[5464, -17878, 15437, -4891, 280, 138, -24, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 61}
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id: 1874993
{'charpoly_factorization': [[[-13872, -24140, -3116, 5321, -215, -135, 4, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 67}
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id: 1874994
{'charpoly_factorization': [[[512, 5952, -11616, 5296, -223, -193, 7, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 71}
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id: 1874995
{'charpoly_factorization': [[[-8586, 47331, 24759, -15546, 1442, 163, -28, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 73}
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id: 1874996
{'charpoly_factorization': [[[1214688, -411367, -41755, 19862, 350, -275, 0, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 79}
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id: 1874997
{'charpoly_factorization': [[[-2585664, -1440768, 94672, 54857, -769, -457, 2, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 83}
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id: 1874998
{'charpoly_factorization': [[[-119008, -156104, -30912, 11152, 799, -196, -5, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 89}
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id: 1874999
{'charpoly_factorization': [[[1877728, 660824, -164788, -32638, 7515, -202, -23, 1], 1]], 'hecke_orbit_code': 40532396679890234, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '1338.2.a.j', 'level': 1338, 'portrait': 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4JO3+GibREYCDWcOF+jNzS064KGJ5DE+H5Cu5HQHXicWIBAe2hjuGxbSG+QcHbJYarlcuG2mF2b+zQbAUIawlDQGdRZ7HhMNQSudDm74HH4jOD4fMzJ5Ri/PuCl1/V59Q3gy0kOnmhz8rziXMbci4ZDS4bnXLnIr791lW1Tk5w4N838cp2FVZfFFcnyWsxSJ2JxNebIvGFiTvInv+zoi3Zd85FBNPeTklF3auf3fach8Te6/b0G+MpKl9NrAW1f/eak89hz9cpfyK88tPbcx/afc37iexy6g83ML7VZWKmxuOawtCZYWUtY6UQsdxLOrcHRZcHcpjV+44eXuf6SBqfOT3N2ocnZJYfzy4b5pZjTiwkLvZjJ6RHPu7rPjZeBJ+v4yuf8So1zSw7zK4JBAHGsqXmaZi1haiJGAyfmY7p92L3ZpVkPMEaA8OgPNbu2BCyvOWCsFFnrQxCDwbDSCdk+59IbKoQyCB3Qrrns2jpibSA4cdYh0Q4zbUmrJvBdiGPBIJDMr0jOLRvOr8b4/gjcmJuu6PPcKwWz7TrLq21Onfc5uwTnl2LOr8ScWYEjy4bnXLHEf/jhVbZOtjk5P8355TqLa166CmpWuhHLnZiljuHkqsNyMOCnXn2U1cGe+N6Du+76zf/nVfqVL7zoLiGCfxcFk3i19ncaKs94+3sbZP7xn36c6ek28+eW3v6uv/jqLywt3OZvbp3CmD4vvC5k04whTgLaDY8wkkSJINEOxigMYABEgpSGo0tT/Ic/F7z9x86z74KQVn2aZr1Fu+HTarhMthXnlxXzqw5fubvG5+6MuXjngMsujFlZHXL5zoC3vEITxQqB4TP31Fjo1KgnAcfPKfr9FtdclLDQjdl/0OWSnZJDZ+GmS6HTg1A7+E7IpiY8faZOox7hq5iJlmCtBzdc3uPIaZ9LdmuOnQ148oj977k7Rxw5b5hoBax0Qz77lQZGKJIk4ZZrB9y8zzC/5rJv74i921ziqM1gWGf/0RrzS4LF1YSF1ZjzK5qTK4Lz/ZBrL1nm136wz1x7ihPnJjm/UmdpzWVpTVpnpR/R7Sd0B4bOSNKJoNsx3P+Uz41XHnVe9ZzFF66cPM7q6RffXJt6rW6027/y6P2f4lnXv+47DZkNb38vGfwDH/oEV1y6Xd19/+FfO3pi/lfufPikOrIQ0A8MSRRy+UUr/M7PLLNvb5355SmW11osd2qsdDyWOw6rPVjtJKx2Y1Z6MUsdOLUqcOojbr5yhe97YcgFc03W+m0WVuosrngsdQQrHc1yR7Pa03SHmm5gGIxiZtoRuzZrQOC7htMLLkL67J5TXLDNsG1uwPnVgEcPtXj2xYZGfZUnDk/TaoaEocvMlGY4gst3jfjg1ya5dGdMEBg2TUiiZEir5vPk8RF1t8m1l8Q8djTk/LLH9hmfC7bCri0hSkWcXgLPNQhh2L05Zqol6Q19+gOX7sBlpatYWYPljmalk7DUSZjvwPIoYdf2Pt93yxI3X+ZQc9ucW2qztFpjac1hpStY7WjWehErvYTVnmG5B+d6ioW1iBsvO8d/+ZlFrrxQMRrVWe02WOnOEavLE7e29e2xuPA/KnM2uekFf/9A/vcK4E8//TS1eq1+5vTpXfc/+MSbjxw/858OPH2aQahYHUpWhoLFkaA7DLjuogX+60+v8KwL6yysTLG81mS157PS8VjpOqx2Ya2nWevFrPViVrqG8x3B2b4B0ef1z+/wqus1F26tEYYNVjs11voenZ5itS/oDQSjwBDGhiQBJQ2+C3XfMNk2zE1HOO6II+dCHj/so+Mmr7ghxHHXeHD/BHu2wufvi3n+VT4LnSE1RxEnEdNTEEcujhuzvNzgefu6fP7uFhdshQcOBbg0ePn1mlgMefxIwrHTNRzpsXnKYaopqPsCzxMoAbGGMDKMQugNDGt9TW+gWRtolvuGYZKwe8eAV93Y4fXPDUG3WF6bYGGlznLHtcepA2u9hE4/Zq2XsNrXrPYFZ3uKxW7MdZec550/vcA1F3is9dr0BnU6/RqrXZ/VjsKt78BrbP3V2a2XfXT79u0ng2A0vPjiS7/TUMpvf28AfurkIeZmN3mHDh/50QMHD7/rnnsfFksrfTkMDL2hpjc0dEeCtZFgcSRZ6ofccPEC7/iJFZ59kc/S2iRLay1Wuz5rPY/VnsNaT7DWM3T7CWu9mE5fs9o3LPQE5zqaqckB3/WcHjddFrN7s6Jdd+n2aviuBBRhLNFaoA0MRoDQTLVGHDpj0CbktgeaBIM6F233uPnqAZFe446HJrn2YpdD8306q21uvHrAVx702Txt2H/C8M9f12X/cZ/N05IvP6S4+XLFyqDL0VPTXHtJyB2PD4mDBjdd4bF354hh3OdLDypIBEdOO7QbDo6AwVCijSDRhigGpMbxNJ2+odmK2Lk14LmXD/iuZ8fMNGucX5lgea3Oatcem9WuoNOHTi+m04/p9BM6A8NKX3KuJ1jqxdx42QJv/4lFnnWhz0q3TbffoDfw6Q48ugOX7kDR7QvCpK53X3CV2b1n789euPei9y0vLYaXX/73A+R/LwCeJJEMw+FrHrv/cxd1evqd993/gNsdCAYjKxH6Q01/ZEHeHwk6gWBxKDnfjbnpsgV+6yeW2HeRy1p3gsW1Fp1ejbWex1rfodNTdAbQ6xu6g5huP6E/1HQGhsW+YLEPURJwzcVDtkwn9AeGV94YsGeLJk4kjjSEEdz+aI2TCzW2TsU8caQGusFlOxT7LtX4tQEPHhqwuNTkyj1N2pOr3P2Yy3UX11gerLG62mbLFsN9+xU/+OI+9+932DHnstTvsLoyzb7LB9z9RMJ0fZIrL+qz0Olw31OT1J0mz7nUcMmuEcg+jx4TzE1HnF+MuONRl1GkkBISbdizNeS7bgzp9RXbpjT7LoYwbLDSabDS8VnrW0B2+pJuH7qDhG4/oTdI6A40awNYGQrOdASdUcDNlyzy//7EKs+5xGNheYLOoE5/UKM3cOkNHXsfSHoDQaefsNYNuXbfdVFsnH/7A2/6nsOtZv2zrufq7zS2vuNB5mg0IBgNf/j08Qd+Z3H+6en582s0GxKQCGGwmeIYIUAKjVIGpcCRGkc63H9oM7/0xy6ve+4Kb3nxChdsC5lfbuN7deq+R8N3adYdenVJa+gy0XQYjBL6w4TNgWYYGHojn5XFGqdPGcJYc2Y+xvcNIPCUwZGCwVAhcIkHDs/aI9i7zbBr+4Ag6fGF+xUHDk/xsmf77Lt8lfd/weCJBnu2D3jsbsX2ScWm9oCaqhNGLgs9aNYcdmwWPHIgZN8ldV547RJ/eusQz23x0hsMrj/gq/eFfP7eJk8dq3PhtgZ7tibMToVcsCniqj0JSmkcZUPqhu8zO+kTRi69gccTh1z6I4fBUNEfSfpD6I8M/YH97b1hQn9o6A4Na0NYHCjmVzXNdod/8cpF/snNAddc0ODcYptOv05/4NEbuvSHDv2RojeU9IeC/sgwCgxRIrj9m/e7rYmZ39m+7b6VF7/ghl/o9wd/2mw2/s8FuEn6IPjx00fu/M0TT391Ohj2qPk+iVEYYzAIsmSrEAlSgpIaJQxKGlxp8JXkscObePhQg0NnF3jdc/s894oRk602K50GzW6N9tCjP3DopSd7OHIYBA6jwDAKNWFkiCJDnNh7GHsYDVIJXEdQ8wSTLcFUC7Zs0uzYPGDTVIcvPgjfeNhF6gle9myXZ13W486nIsJRm5ufJegMhywsN7npEs2myQF1x2cUKxa7EUoLnnWJQ6MV8NDBGi/YN8GN1/R46KACM8Gzr/D4sVev8JVHQr58f5P9J2vsmlVsma4z1Wow0YK6D65jUBK0gf3HBEkiiGJBGEMQYX9jkDAMNKNAMxhpBoGmP4RuAIt9yUIPAj3kJdeu8JrndviBl2riuM38UpPuoEZ/6NEbOim4JYORBbddYROGQUIQaIaB5vyxc/zZh7843enr//LaV73QWV4d/vHMVP3/PIAfOrHModP6x+rx539zsHjbXNOLMM06SiUYBMYIbB2VQAiFFKAkKCly5nKVwVWauiNYGtT58Nd28NWHuzz/qjXe+pI1rrqgz8xkg+W1Br2hz2DopsBW9h4KgkgSxYI4tku9/UwbVDoO1Dxo1DXTrYjtcwNi+hw6E/GRO2ocPdVk0q9z3RUON13d5b6nO9x2T5sbLq6xa+uAD35NoIRPuxWx1g/QBpSA2faAbs9Dx3Ve8/wFPvz5BnvP13jVDQPCaJk7Hp8hSmpcf8Ucr7quy8U7O3z1oQGPnWrw6DGPHdOS6bag4Qs8116EUoAQBm1Aa0MUpxdrZAgieyGPQhiG0BsJVgPBSg+EM+LaS9d463et8fwrEmbaNda6TdZ6dfpDj/4wWwkycAsGgQX3cJQwHCUMRgmD0Aa7UaI4dKrD77z/y3NDEf7mT775JmPMuT8RYuv/GQD/gz96P51kms9/4fYfeeRY953XX/DFTd/9nEWm2psABQaMFqmRLRFCIoRASoVUAiUTHClwpMZ1NJ5j8FxD3RWsjhTLa1N89OtN7n2iz83XrPHWl65x7d4OM0mdOPYZjGr0hy7DwCGMFFEsiRNJogXaCAQGKQy+p2nUYnwvxHMDziwH3PqA5PBpj2Onp1DaZ+9Wj8svUDz7si7KX+TxIy22Tza48kLYMrvKSrfNVdslsTZ88X6fYCCZbMa8/PoRn70j4uR8i0svcjm3NuLJoy47N09xzQWL3PlYj7ufFAShx2UXTHPZTp/LdvQ4cm6Fw2fg/gMNDh1t0nAEviNp+oaaC1LaoMoYe7HGCYQxhImgHwi6I0E3glDHaDPiORd3eet3dXn+VQlbpz1GQZvlTp3ewGcw9CywR4rBSDEcCQYjyTCwfaPDwDL3cJSkrzWDAHqBYC1wOb+6zKGnPjbXO33knfOr2+PF4x99/xNPx7zoZT/wjxfgn/mrT/Cffv92fuqt1//AvY+e+v3P3Hl68uvtEc+5MGHbzIgwVuiMuQWp7gYppWVuqXCUwHESHEfgugLP0XiuoeYaGl7CZE3QC1xWu1N84httvvboiM1TA958S4fLdo4YDftceYFh5xZFELkkiSLREpOBW2pcJ+HEecOxecHaUPPpOxucWZrChC5TNcW2GYfdWxwu3A5X7u2i5RLv/myTlZUJbrjM4cq9Hb76qEDELnNTkmYjZhB5SCPBSJTj0RkJzq8IrjANbnl2j7seqrNtk8cNV07zz169xPs+3+P+g036I5fltRYXbKtz6dYB11/S4w0v6HF2ZYVP3+mzPPA5cc7lzBkPVwmklAgE2hgSDZE2JLFmaibi6isGBEHEZTsD3nhLwNyEYrrlE0U1zi3WGAw9BoFd5YYjZe+hZe1hIBgF2JUgBfcojWEycPcDQTcQLAeCPVtH/OCLT3H+1HDT6ZV9v39MXBhdf8nxD338Yx/njW964z8+gD9410d49s1bRcN/7psOHT31nhNnTjQ6A1COABFT80bUfRedgs36OwYhnFR7SxwlcJ3s0QLRcwSeq6m5hnpkaISGiVrCVF0wCCW9sMmx003e8aFp0DEijnn21QMu2BISx6CNxhibxJFCIJXAcT0OnvTYf7hGs+bQ8iSbGoLZGcnctMO2WcXurQmX7l4jEcv8t0+2OXFykhsucblsT8Iw7nHP4z6TdZeZCcNkK6RRt1JIa0lnpFjpG5Y7CZ1+nedducYD+wccOKmYbNe4/opJfuI1y/yPT8FDh5v0h4a1nsP5lTZbNjWYmxqxe2bEv37TgHajw2PH4OApiesalDIIobFLoWXzOIY9WxJuviomiVyi2MeYBqPQZX7JYxjYFW0Uqly+DUPBKBCMQsvaQWi1fBDqVO5oRoFhGGqGAQxCQT8UdENJL9IoETHRTGh6A+b3H508u+a95+jp3XFXbvnYH7znL8xP/8Rb/vEAfOno+5jZhjry2FOv91h8/2XbDtR+6HtWWFxVvP7FHS7fE5DELjUvQGuRsmnK4NKglIMjDW5aG+0ogecqPFcShBo/TAgiQz3SBJEmDA3tGIJIE8QQxoJRJAkSnyipceBwk0cPQGIMFtpWG7sSPGVrPlo+XLkV2nWYaEqmWoqZSYe5adi1JWDr7BqRWeG/fXKCI0cn2Heh4sIdkr07Vvn6kzHnlyd49gWSqbam5g3xpY9RgjiRCGOIk5DVfo3zyy77LqvzrEt63PlQjc1Tgkatxb5LNP/i9cv8/qc0T55psdbXrPUUi6sOmyabTLXrTLUnaDciZpsRu/eF+G6M68QolSCFDSYM9qKKIsXCokMUK6JYEUaKIEofQ0kQSYJQMgolQShsgBoKgtAQhPa4BoE9zhbkVnOPogLcvVCwFoPWCUePwR991uG1t3T4wFfbnD5zqHHzs+L3T80m+pza+clf/M8fS97xy2/6hw/wJx/9XU51Bmqlv/DGmlj40+1TR2utRszN7WWm2gmNGnhOTCJCfM+x7I1ACIOUBkcaHGVwpMJxFK4j8VxhT4IrCDxFGFmgR5EhjBPrisSlewJxYkgSTaKxeluTg1ukAawjwXXBdwQ1X9DwJc2GYqIhmZoQzE3H7N4yoNVc45N3hdzx+DRrS22u3qXYvdXl4p0jErHGF+9v0HQdZqcUrcaIx4/AU0cdrtppGASKay6OuHqvYf5cwuKqx3DU4BXX9fjmY0MOnVE06xLfa3PVhZr/+CPL3P7kkM/evonlrmH3XMJqx2GyrZhourQaLs26oeZrfE/jOwmOslJLSnsOjMEmrLQg1pI4EcSxIIolYSyIIkkQWecljARhZAhDCKKEMCcNbcEdGQv6CIahYRQJBpEF90okGUQJxCNCE3PnIy4P7nf50v0O7bri5FeO1/Zdoz9w3TWDf3rRXu/j/+UP3538m5962z9sgL/7M9ukIPj+mj7+BzunH649/2pNP0q47xB8+o4Gna7kyX1DfuBlI9pNCzYESKmtJSgTHMe1AaWrGbkKL5KEriTwBGEk7MmJFFGMLbyKDXFc2H5xokkS6y4kJnVKUrfEBrDWnXEcgecIfE9S8yXNuqDdMEy2NJunA2anesRmjY99U/K+z88wV6tx9S7Brq0ue7Zpdm9d5ZP3GFZWaly2RTHVhlYj4vxxycKqj3cBBJFgdkIyOQmHjhlWu5r5pRoX76nx4mf3uPUbNWZa4HseSk5y1V7B2161gCsX+MydUzx1psbmbsTcZMxEU9GqKxp1Sd138D3wXXAcSwoyjWFykGMv7ERDkgjihBToECWGMIYoSiwpRJowfQwiTRRhwR1bcI8iwSgSDCNBNxJ0IkE/itHDIRO1Hj/w8lVuefaQ1Y5CmWVOnA9AusxN3FO76eLd77n+ykucuu//xb+xPPMPE+D/808+RZzoH/n8N47816/d32l7re1cvWOAQHNiUXHslAOx5rN3NVhYW+Nnv3fAZCuh5iZ0BglKJriOhxtqXMfBcxSe6xBEkjBlbss4wjJRykpxDFECSWKdBK1twKW1yXo4U3BbgCslUl1vAVLzoVHTtOoxk62Y2ckhm6bWuOtAyAduq3Pw2CR7Jlz2boEdWzx2bIZLd3UZxF3u29+mrlxmpxSTLZhsBUxNxHiegxD24hoGHivdiLWBodOPWVj12LWlxY2XLXDb/QMOnmnT8CNc5SHEBHu3K37opUs859IFPnBbi/uemGS57zDXjplsxDRqknpN4bsC35W4rsBREqVI7UOLcoPtYdWaHOhxotPVzZJCFGvixII7jiCMTXGPbKlvEFtgDyJBL5Z0Y0MwjDDRgJlGj5994wr/+gd7TLYEOja84ro1Ti/20EZx8XbwncPtbq/53yJ9nXf0qU++78IrXv8PD+BrnQ5KqR//n3/8id9cOHN6ZtuMw9JwknsOTBIlGiMNNDWYmLWoxm9/xOOpIx2+5wV9brm2z+aZkF6vzjCIcR0Xz/XwXSddNhVRpAhiSRRJwtguu1GcetoJqfVHytwSbSjAnbo0lrnBUTZh4rmGmqep12JatZipdsDWTV3Odwa869MuX3xgmpXVJhfNCnbNCbbPeeyYE1ywbYTjrfHhOxyOnmpyyWbJVEsy0UyQMuDMosF3JFKAMYIwctg91+V+EroDxWrXcH6lziU7arzhlg4f/6rH8fM+rhMhhIs2TaJY8uwLVtn9li5ffGjAB784zYPHm2yfEmxqJjRrCTVP4LsCz5W4jsBR2MBZirwmw2AvMm2wTktiAZ+DPLGSzq6CEGbMHosC3DH0YkkvglGYkAwCdsx2eOG+NV77wgGvui7GlzXWVj20VmyZEmyblkSJotv3Ob9cp9tfnGnNDd958TVvUP1B94+bjb+bmvK/E4Avr6yhlPPPPv+lO37zkUefnGt4GoPEV5q+LxglkiARhBoi7RIpn07k8+Gv1bn9sR77LuvzlpcO+O4busxMBAxGNYZhROS6hLFDEDlEsUMU2YApSiRxbGvC41iSJIJEi0Jra1HUiJvCfrRpf5ss8lyN7yXU/ZhWPWDTZJ9hNOSrjxs+8vUJ7ntikinP5arthq3Tks0zHttmJTs2h1y4fZXHjg/59DdnmVAOsxOCdlPQbkR0Bgmfv6dGy7NlB9rAMHB4zc0Bn7vX1sR0+pqFVYcdcy1e99w+9x3osf+QR9OPUVJYkOsGo9Bq/R96cYdLti7w4du73P3UJCdX62xpCyZqhoanqTkazwVHCZS0F7JMbdes/EinUk3rYoWLU6BbgoAoEURJmhVNBMNYMIgF/QSCUBOHIc1an9e9fJW3vLTLvksTtkxLgqBJr+8SJw5xoki0Io4VUewQRg7DwGMwcuicODDnN+76zb2XPV+Php331urf/rFy31aAr66tsbbSRwrxw5//0jd++y8//ZWZ5ZUOvicxaXrdU4IwEYSJTUCEWjBMJEPlE7kep7s+Z+9tcu/jAz5+VY83vmTAy29eY3rCIww9gsgljDwL8Ni6AnGsiJM0YZMUANcmZW5d1JRl9S1K2myo42g8N8H3Iup+SKs+JGHIVx6SfOhrkzxxbAIR+eyZMmydNGyaVMxOe2zZJNk2G7FrS5dTiz3+8LNN4qDOjh2CyZZDuwntRoRwQ7rDJpMtgxDW449iybSviHVML/LoDRJWu4ozi3WuuLDFT37PGu/8C58Ti00cFaUXhkMc1xiFki0zPs++qMvVF/Z58sQZPvL1Orc9OMnZTp2mr2h50HQNnmNwFTjSpvOFqFbXacBoe9ElWpAYiBNh/fP0HAWJYJgIRgkMY0McR+goZKY25BUvWePNL+ny/KtiJusOUdxgreMRxW56TizA40Slq6sijByCUBHGDqNglcNPfXVOCH5754U3xmurp/9MOW1arW8f0L+tAB8MhkxON197z70P/I8v3fbV9qDXpeYpogQQNuhxlMFLsIGNtsFNPREEGoaJYKh8gthlYVTjM/c1uOPJIdd/ucfPfW+fy3f1mJtUtJsOYegRxi5xBvJEpeCWJFqijcQYSil/KgVbjtI4TozvxbgqpDuMWOxG/N4naxxbmOKh/ZMY7TFTF8xtMmyaEMy0FTOTLptnJFtmYrbPDpiZXOWLD2sefGqSq3cIplqSVkPSbmia9RDhBvi+g6Ps5xsDSSIZBg7DUUSshS0H7htWui7zy21uurTPjVes8eEv16ivKBwZWUAahzixHUzDwGXTZI3n7O3znIv63P/Cs5xYlHzgtkkW1hqcXvbxlKTpCrxMhkl7DnIiz6QKlsljI4g0xFoQJDCKIdQGkhjiCKkCtk0NuXpPn597Q4/rLk+YqDtESZNOv3w+HMvYSUo8KQFFsbKSMspKkSVra30euu/2mVHg/Y+LLt23GgTDT387MfltA/iTTx1k29Yt6k/e96GL9h98ut3rrdGsK+K0WUBJgSNJbTtDpOwyGJdA3kgMgRYMHcnQ9QkSj+WwwW0PtrnrqRFNP+CfvrLDzpmY3duG3HRlD0coWg0HRApwrTBaphnREnNjENKghPVyDTHImCePSR444HDrfS2ePNkijBu0HMVs3TDdNEw1jPXB2w7TEw4zk4It0zHbZodsnV3ljicC3n3rHFsnHWbb0G4q2k1BqxFT9wPueloxCh3cpgWVMYIwltQcxbWXDLn38Ulb+DRMWOu6LK35nF+a4idfdZ7TS8vc+8gsrgREhAbi2CGMXIJQ0h86TLVqTLab3HjJgBdePeAtL1rkwCnN5+6rcd+BOk8fbRILhyBQDCKFSksfqoFnmhMwmlgbjNa4ImHCC6kRceO+PhdsHbFjU8RbXx5Q9yStukMY1un0PaLITf31grELUFvSiXKAi/S5tSrjxGXU6/HEY3e211bnL3rBS96kzp4+nGzbcdHfH4Dvf+opdmyb9e659/4f1Tr+r6srK2lWMgM3KGXBraTAScBNDLHO9J4g1pbZ/QTq2hAmglEiGDkuo8RloOv0egm//eEpTByxeXbEFbtGzEzEvPHFQ3bNhUSRSPW2hBJz52l/qRFS8Inb6zx2pIlwHE6cbXDmfINaXTHhCyabhnZN065Bqy6YaCjaLcVUy2FmEjZNxmyeGbF9rkti1vjEN9sM+00u3mFoNxSthqRV17RqMa4b8sV7awQDiTsHMgVTFEuadcUrrh/yjYc1/UDSHyZ0Bw5rPYf55QaXX9Dijc/v8tCTDU6stFBSA1Gql12iRBFENjHTHzl0+h6teoNmPeDyHSNuuHTEqYUOx8+t4bgJjx51+PjXGwilLLiFrJ5EowGNMYY4TNi9OebNLx6yqZ1w6W7D5hlIYpcgbBEnLqtdpwB07KQ1PRm4ZS4ZreeurAmQyNSWFKkpIIi1INYOy0srbJqL/+uTTzw4mJm74H1PP30gvOSSy/5+AHx+/jSdtaVLTp089a5HH3lQ1n2rfbOoXGV3aRk7iY39YVkCJgO6pvRoaGhBlECoBWEiCbQk1C6RhsV+m68/pjEk/NV9EUIk9iQZTYZsQ2qRCVuRKIREKkUcOUjt4DqSlg8XzBqarqbhaxo+NHxBsy5p1RXthsNESzLVhpmJmNmpgG2zPRJW+b2/rHHn43PsnYGpRsreDUmrHtOohzQbQ+r1Br6SKJlqcKwciCKX0VAwDBJ6gUobOrRtmWt6nD4/wfOuCPgXbzrP73zc4eSajxAaYyJ0YohilzCSjAKX/lDRGjo0ax6Neo2G36DmR7TqIc++OMRzI667OOatLxngqDhNAmmEMFVRnko6rW2Rm+8qwGMUOCyvOrZuJ5WCOZiTavxTgFtUQZ7dYxu4JuljnKT6PzHcd9+DsjeU75pbGXwzDIMnvh3Y/N8G+J23f4qJCVk/fvzQ608cOyImW14O3DjRqNR+UonBSQGfyALE2Y9LUmAn2tjHlNVjDbE26WuIDURaEGlJbCSJdoi0T5LaXuVbnqUU4AgrkVwFtbqh5hhqKsF3wXeg5hnqvqDuSRp1SaPmWIA3BZMtzXQ7ZmYyYG66z7a5Zd59q+aDt21m56RiU0vTbipaDUWzAY16QqsecW5Zc+ScT82zKxlklX6CUehwwRbNlk0juiOP4cikLC5Z6zm06jVajUne+pIFjp6b5z2f3o4jHQyaRCfE2hDFNmAbhophIBnUJI2RQ913qfsJnZ6NMTw3wXUSXDfBkbZRQkqbzhfp3Zau2CybBbmgo9MqS53GNWl8k+gUzOnrHNyJKB61SN+nCvDEklYSZ69JM82C0Qjuue8RsWdP9/W7du858sG/+PjwB9/yv1eY9b8NcNdxvZWlpV/qrp3/JcxINhuSILTgjWKBkxiiMaAn2oLduh0lkKcAt2BPXxvyJE2WZk90WvdsQBuRB0plzQ1pJWIW3EqNI0nryMFVAtcx1jd2BDVfUvMkdV9RryladUmrYZhoJky2YqbbAZumBuzavMx9Twd8+PZtTNV8Nrc07Yaw4K5LmjVNsxbTagTcdxAePdDgolmT6t4ibT4MFNddarh415D7n5hkENj66v7QSUHu0qjVqdcm+b4XrPDo0wvcu38LGIXWiSWC2BBHJq8nGQYOjZGhXlPUPI3vufhegu9oHCfBdTSO0iil7RYs0pYGIwyCQs8VwblIj69IU/2ysF+T7LlMs6JWbugc3CJ3szIg2/covU7tyLSkIowNw9FAnjx97tdqjabXbjXfDoTfMYAPh0MZBqPf+OqXPvQLy0vznqscjGuZM4ptgiFODCoWxMrWgjgp0BNlUjCXQK4NWmevi2xbnnkzBp1m4rJkhUkLprJbGeIyL7ctmiUcJSzAHdso4KXZP99T1HxF3Rc06oJW3dBuJEw0YyZbATMTQ7bNrnLvwSG/8aebOXl6kgs3aSYb0K4rmnVFswbNWkK9FuG5Izojg5IKVxmkLL5Zxm5R7NGuRwxiW246DGyHTG8g6dQVjZ5PzW+xZ0vEf/zRDr/+fsk9+zdjUGijSRJNnMSEsSaMFKNQMfQl9UBR8yS+Z/A9he9oXNf6/Y4yFuDKAlylMkUIs65BNytd1kZg0loW2+gs8toWSzqWqZO83sWuwNmqWwDdAjrJwZ3FYJo41kSxPbenT5/1Jifa//Z13/ND7nA4+NV6vfG3Tuf/rQEejjoYE7z9yIE7/tXq0sma60hkYllACIGQIBNQsSCRApWBOTEkWqeP9gcVzzN2FvnfdCkZURxwUpbJ5XaJf7IUfCFPZN4JZO0yJ21Fcx2J70k8V1Hz7UiGum9o1jStRkK7ETHRCpluD9k2u8a9Bwb8+vs2cfDkNLunrcPSqkuaDWnZu25o1BIatYgoCfnzL7eQSuFKgxKFTahNpk9dfuhlq3zpwZBe6DNIAd4fKnp9Rcd3qHk+vtvm0p0x/+nHlvn37xPc/cRmtJEk2qbVo9gWmgWhJqjZclffF9Rcge/ZzKbnmDxj6yiNVDYmksLYRokM4EXKMwV56rToAuz2vBQA19qCOffTM12dg7sAdfHcEGtNHGdlAmnJQGwQUnHw0PHaZz9/+8+/5rtfKlZWu/9ueupvl+n8WwN8dekwxpgbF87cX/ecEVLYYich7d22mFndGyegEoFWoqK7rewogK51+p7JnpdqJ4ywz8vg3uB75WW2WZ1JmslTSthOIEfkdeWuK239hieo+XbmScNPaNYtuNvNkMn2kNnJDvcdGPAb753myROb2DElmGmWpEnNoVmz9Sv1WkzdD3HdgDPLU7hKoKRObbkiyExSf3jrlE2edKMaw8DYJoJRQm8kqQ8UNc/Fc2u4zgSX7Yj5T/9skV/+E7j3qblU/2pru8ZJyuSawNfUQsnIU7kEc11wHSvRbJ2KwZGkMgVE+ljGeIZzk8uWUmVi5bGo0MwBnxV1ZatvVhuUrc7lGpj8UefM3h0E3Pb1B+p79uy5UUr518Hx2wvwe+/6MifnVaN37lNeMOrguSJnAJkeNCWscxBn4EqDSJVlGTNNnQJd66KfMJch2fP84JpvCW4oUtJZlaCUIpcmStp68kKeQM0F39PUa4a6b/Vzox7RboRMNodsmurw4KER//6Pp3j8xCzbJhWzTc1EXdCqSRo1RaMuqNfsxWFT/SH37hf0Rx41RXqRWQ2eNSEkWhDFDs2a4qYre9z3ZJtBVLSDDYaKnq/wPYXneql+nuTynZrf+okFfvGP4O79c0RaEmmdNksXPZiBJ/E9bdk7rU1x04vb3kllSiHjZD7FYD3I0/6JVK5kz8lLIQqgk6+8FsiUSKwAdEZuGbjzuCt31mzJx/s/9Bnv59/2msZnPvuFwfe85pV/9wA/e+Ykm2a3T97zzU//4fJq8gKTets4GikFMhFpe5lGJQInSVlbZSxOESwmoB2Rs3WiTZo6Nrm+NqZg8iwpkXerUDoZIm2SkCm40yIjlQPcXmiuY5nMc7GdQF5aYOUn1FN50aoHTLSGTLW6PHI44N//8RSPHp9jy6TDbEMzUYdmTdCsKxp1RSNn74SaH9NqjLjjUY+1To2pqSJNnoElW9KjRDE3o3jJs/rc8YC2XTShLoFcUnMlNdfBdTwcp46Umst3Gn7zJxb4xT8y3H1wjkg7RGkFoC17tUzuRzKvLvQcieOkRVhSoJzs2JB/v+wizKSKyKrSKBJCBdCLNH9RvFXESwVpmdw4KK/YGah1BvIxcBsjwCRIE7zg0SeP/skP/sAbfur48RNre/bs/rsFeNA/w3yw8IvDztHvj0dL1GoSITTKWL2lZKq5Zem5sqztaJNe0aKyfGld0nXpQcrYWm/E3MX/yzNyufaWWQVdobuzikFHYeszHIPr2sbimqepeQn1WkyjFtGsBbQaI6YnOjz0dMAv/dEmHjm6mblJl7lGwkTDpOBO2bsmqfuW/Wt+TMMPiXVAL/QRSuJmDJ5r8EyrpgVikUvTG9lygbDGVAbyUcLAswzuexLXcXCdbANaw1V7DO/8qfP8mz/Q3H1gM5F2bAFbolMWF9Qije8avLR31XGKlj+Vrmj2+KRd+dljqTCrvINJ+fhXY6GSnMxfFyXKBdApSVMqQI9zkrOS1hgQQnL63CKPPnn0+/fc/ciRMIx++e+UwQfdE9RbO3bvf+APr67J44jJBIFJi3YEiUrtIWnliVKWqVRuH0GixJhDIopgMgd3EcGP15MUVrcpWLt0UvLlNu3QUWkw5TjpmIm0CCmrHqy5SaqbI+q1gKn2gIlmj3v3x/y7d2/i4aObmZ1wmK0nTNQMrRTc9Zq1EzNw1/2EmhfTbobsP264/aEmnpS4SqdBXIGUbPmOEkWsHW55dsRFF/Y5crLObIO0Hcz2QA5GKQs7Csdx08yw9a6v3A2/9bYlfvmPNN98cpZRVCdIJGFsaKS2m+9iQe5kq5dOJYpEqiQnIiVFCeCiBPLSMlkO6CvEU5KRKZizzn5tQCeF7Kw4ZBlzl4Cd/z0/94qHnjyLce6/+jd//W27Dxw+feKyi3Z8+wHe755FulN7Vs5983cd5l/b8FfwXS+t/yj8UCWFtQATYfW2sjIlUSJnbp0YkiwaT92RIpCsskO2JI7lcMiWznXgFgapMlvQgsFRKWs7Bs/RuK7GdzW+F1PzYmp+SKMWMD0xYLU34BtPwG99aAuPHd7EphTck3VDqy5o1kTulVvnRVv29izA635AmCSMhjVqyl5kUohKJV+WSLGBpmO1vBMQhIZhJEoA13heguc6uK7EUQol3RzgCLjmAsFv/dQqv/0XMXcfmOFsp82oKZlMDK3YThvw07ubSzST2oWUAF4weP590y+90Xw/k7JNfq7SOnOjSyyeypiyI5bo9UCPc7CXnJb8LhmsDZk4s/bav/zcPckrX/isnz98fP74RXu2fHsB3nCeANW4Idb3vd5JHmai1UgN+qxiTBJriRPLPPPoJLYHMElSfzR9TJwSc2vrjiQlps4O2jODmxK4s3EPGXubVJ6YtGrQMrfjZHNUsvJYC27fS8E93Wdxdchv/nmDT98zy1J/itkJyWwtBXfN6u5GGljWfUnDNymDW+1d80Mg5GuPeKxGHjM+lXpsRMmJMHZ1CyOHtu/w4n0D7j0Y0ot8JiJtu9hDjRfYWnXPsQB3lEFJFyFtggYDl+2U/M7PdfncvUPe/t7NnF6aYjjpMOkJWrGmEYMf2dHLnrIDjdws0JQiD4Kzx3KgXr4wK3IlZ/FqE0VFWpYTcrmJUAZvJlvKDJ5WNKb16KGGYezy+buO0Jice31M7c+7/dHxbyuD94Y9qDUvvuehL/zLkwfv5PmX9Wm50B/YEskodohUCnSpcBJNrGz61kkMsbRTWh0lUgtQVHW3zrq/s0CyiNQZB3glCLLlr6LkAsi8uCttWE6zd/mYCTfBc2NqXoTvRbTqQxxnwB2PJvzJ59vceuccoW4z1xZsqllZYi3AzCdX6V2kzF1m7wjHCbjrqUkGocPWhkkzhuMMnllptsKu5ipuvHxIrC3Ah5FglDf42pFrrpNZnCoFos0+WuUg2DQp+P4X9Wn5Z3nv54d846kZ5qM6g5qkHRuajrEgd9I4RJk0LjEpyFNiyHIYIhskVLD4RgC3D6ZqI44BXZckxzrmznxxXdShR9r2Coxi6CeC3ghqTogefYWLt275l9c9+1UP//Coe6j2N9hZ4q8F+IFDJ/j/3vt1tsxObLvngVMv/PxXJD///YK3vabDRKtOf1RDRS6OdAhjx1qDiUQlmkRKYilxHEPRhJCd3KzmYWO9XSRwqgukBbcpyRKTj5ew3rtJ2VunNd8puJWtxfDdCM+LqLkhjcYIzxvwodsc3vFncxxZnMb1a2xpCab9hLZvaPrQTDvs677NdtbShJCtX0nSlcDKk6VuQj/08JTCkyYPMLOfkVlt2mSNv5Iwdqm7I7ZMDlkbtBhGIh23ZmMF101Sm0+ldqeyAK8Errby8bXP73PdFYv81gdGfPCLs6zETQa+S9OVtB1bg+M74CnyZggnS/qkK5/MpUqRAMqawcflSjnRlknKLDmUOywl9s7ij0xnZw0WcXoPk7QtLhF0Y8EwjGmIPj/xmvP8zGtXmZl+5IWdebHNxMuHuqsnaE99a1flrwV4kiT89Jtu2nPHfQfefdeDhzjTmeUdH1I0a/P88Cv6NOsGKTSR1AipUbGDkopYSpIUaImWJKqoZ8h90/REZ1kyY0TpQIl1XrcgSyun7C1L4E7TzpbBdYm5kxTkMZ5jJYnvBfjukOPnY97zuSaf+uYMR89P0W64TNdgyk9o+SZNvWfglim4ZZ4UqqXa2/fshdNuBnzyLodDJ+rUlLAZw8xBoUB5kSyxOjyKHS7bDa++rseffGGGfsOhHRlGkcEP07hBaRxHWvdDUQK5W0KbXRV2bZL8ux8ccPUFp/mjW6c5Oj/BSlxn4Do0laCRAt2Txl44qcukSiQhK3ENFU2+0a0wAcy6OEqP38cSQbFOC+gSQZAIBomgF0MQxtRMjx961Xn+7ff3qLstlhYP0d72vHc3pm58ZRKt/bVS5VsCfDgKqfkuX/76AzsefGj/3qhvW8eWVif55B1DXnT9Ins3D9E6u9LTJTnWSCXz0spEa0x68LXW+XCfTJ6AKGlu8YyaG7IDbXJ2yWRJBmzrmmTsneA6se3ccWJ8P8BzAnpJyLs+5vHez23hzPIkWtWZnlBMe4YJT9NImbuRp+9lWqeSSpPUO8/B7dnsZRCFHDrt0w99pvzUxcmSTpkrkf1OU6pJiRzaTYcLdoQof0QvbDH0BPV0BomXyis3lShO5noI9QzBq2J2YsBPvnbA62+Z572f6/KeT8ywNGwydGrUHEXDEdSVwY+NZfNSU4pMv3eWxs8Bjqk6K+MgrwA9G1VBZZVOSo5ZknYPRVmLnLbg7scQJRFEA/ZuXeN7X9hnsuUxv9hmbW1IpPbvNaKxY277dceNDhHS+9sB/Pz5BSYnmrPNhvuxex94xJ2sKwIM/ZbHbQ9N89t/NuId/7xL00tHHJP1PGpUooilQatSuWUKbl2qVMuYuwzu9bIk87xNCeAmlygFuDVKJSmDJzgqwXMjal6I54Z0RiF3PSb50G1tPvHNGUZJC8/zmPEEk56m6RkavqHhFeCu+RLfl/ipNLGJodSZSAHuuTbzeeyc4RsPNggjF79p1gWY2a0s07S2LVyu6/CS63p8+Ct9Dp5uMqzZeS+Ba/BicCONG2qUsnMarYyQxXCfDOCZx64lDd9h8+SQf/N9Ay7fFfDB21o8sH+CxWGTkfJwXYeaI6hL8GVqo2b2qjQ2nzDO4ul5yOVKiYxM6XvkK1UmV8rAToktMQXAA21lySCBJIkhHjHbGPCvf2SVW/YZ1tbqBKFHGNdZPv642569+WP9fvdZUdBb/Fsz+NymKXng4KEbbr/9jomaE9tKu8jgKUmoPD53b4u3vKzPi/cFuLo8kUoTK211uJYlWZKCOm8pK2vuLGO2niIy5rBtZ8VFlJV72iFBBkclFuAqyeWI40R0+hF3PiH40y+0ue2hCVY6LWS9RquumHQNbU/TcA0Nz1D3SFnbMnfdl9Q8Rc0T1DzSCj2dglvju1Z/Kyfg6dNwplOziZVU31YTJwUILLOlVXZaEoYOm9uCi3cOefxkzCBy7ZiGCLyQdFR0kkqULFEDcqwzJ68RSW3IKLH14W9+yZCXX7/KVx/u8f4vtnlgf5vlXoOO9Oh7Dp4SeFLgS2wPpzQ4wuTFapkFawP7v84+LNi8fOFloNYmbXBOa/tDDUNt+3JNEkMSIJMRz768yytvHKHjRtrg4TIKXFbWBA/cf9fE5VfLG7bv3PsFvsXwoL+Gwed9Jc0fLC6cbdZrkkFgr3ApAEdyfsHjqw/4vOA5PVxH5ml0IdP6b1kAvJAkxXMqurtICWerQQ7wPNApCvStLLHTr2Q6AUvJBC9zM2TEYi/mjgcdPn9ni09/Y4KFbhNRq+G2XNoOTLi2k6fuksoOqHsivcu05DTV3Z7Az9g7A7gT43kxNS/EmIivPeRz4lydTdMCV+rUiRBFo28JBVn5aZJKimHgsnuz4CX7BnzqnpB+5DKMBDXX4MWWxYPIlFYplfvVCFmRKfYu85XTZk0d6n7Am1805LuuW+avvtnjc3c2uOOxFgudBkPhMfQcHFfhCIErBa6UuMKkUssgEankKgLPZwQ5JYlSqgK1wLYAjzKAm6xMIwEdQhJQNxHfdf2IuVlDb1Wh08aKIFIMA4f5k2ebF16q/+D8/PzlwPBvBfD9Bw4wHA7QyYiGp1iVCUn65TDaDs9xBEiNUjGusQdcao2WGqVVCvD0gOcHf+y+0dERJcekBG4pdNo8nAa1qRzxnIhaLWIYJBw8A8fPKj7y5Qm+8ECbhdUmuDWctktDSVquoeVo6q6h7kLNteCuuXYmoS0zlaW7SP9uUpDrHOSea9vTjpzVPH7MB9dNl3lTStFX04IZu2VOinVT7Djnqy4IuGJHnwNnGgxrgkYs8CNDoEitPZ2yd+amZBZkoVVyn11ncU/WN+kyCl3q9YAfeUXAa25a40sP9vnoVxocP1vjwJkG4ZpP7DuMHAeppE3nk34eVpurTB6SBdDrg6bc7k1XlSSNszLmTgwkgNYaow2YBExkAW4ijI5t6awhX6WlMCSJZBQqFpf7HDv6NI36t94i5RkBfvLUGTEajf7lRz7ykU01XzHZhvmOZrGvGXQS0IEtFbMEgjIxRqX6WDtonaC1QuWSpMzcohRMVrvfc9bGpHZgWZ5YgEthGdv37STVOEmYX4Yvf93h8Ok6d9xX58xqnSNnm+D7qIZDzVE0HUPT0dZFcA2+YwfH+y4piLO7TO8qBTip5k7B7Sb4rmVve2GFHFuE/ccbuLJqD1a165hXnDcQpD2OscsVu4dcPDfgiaMxg9ilFQkCB7x0JqAqAVxKgZCywuQwXvhUtI/lM0oSl8D1aNdDfuhlAc+/usuZ1S5fu9/j6CmfLz3U4OxyjWTooqVD5CmQKg2WbWWWJEuyFY8bgpxS2p1s4FAWaWsLbG0nnGFi0Ond2BHQQiY06yM7W8cojp1tsdK14/rOnjq86TWvffO/XFw4+87ZuW0bWhPPCPDHHr6HJNHfr6O15lRLsGNOcu3lA3YfXGb/cTi7bDi6X5LEYJRAoRFEJEIjRYKWEm1Uabm0j9n02CKYFOt0STaHqmDtbFqqXZ5dPyFKDEdPCR4/qvjyfQ2eOObx1LE63cAnCH1wPVTbxVeChoKGo6mXfGDfyeo0srJZWxfup7LE8xSeJ9MLwBTa201sZtG1Or/mRRgdcn5FEhgfx5F40uBkiZIxDQ4FyBNTBOBJ6ocLHGanQ6Qa0Y9cBo6wTkdUFIw5SlcykDIzqQGyYUcUsU6SlQWkvZNu2gkfRi6DwGPLVMiuzRHPvjBgGA75p8c6PHHc48v31nj8WI2jJ32i2MH4ikQqEJKk/OOy1aM4gfl4vMISK2WCSAuOTJI+zwCeFDW2xqBcSHzD0aMxZ5aGPHbM495HYuoypF4THD2x1Lzz7vu/Xyn1zv8lBn/84S/T7/XVwYOHxdxUQqOWMDMZsXtrxEuuG6DdHifm4dEnPa68OGbUk4TaDqKvN2KkTsAI0JIk3WvSsrYsJEkG9FILSbbUyTQDSVpzEYWGwcgy+fHTkr+4zWcQKR55qsbhUz5LfY8g8cDxQLmotsKTgrqChjLUFHacmUoLj5Rlbc8VNulRBrcr8VJZ4nvge6SuiU2Z2ym3cZoRjajXQhZWE758d4tOz2dqwm6vkpUMSMmG1prJyk1zLS4JAsWmGcXLbxrxpQeGnOw0GbrSyhQH3NjgRplnnXrsMrF2IeVZJzL/DG2c0mdYoHuJInEUsauIEococq2V6kY0vYjnXxVz4+UBr3vhiKdPSR7d7zIMFR/8coNj8y4IyWDokIRZd4vEOKWrWIgxgJcr5TLmto8iMYjE2JI9k1BvJLiuRmH44j0+p5YUjz3hc/Jsg76cZNJ12DsbMd0S9IcJTzx5WFx86WXqk5/+Uvz61778bwZwATRbjXc1/e41NRnSrCdMtkJcR9Oue7Rbij2bh1x3ScTb39fiX/1OGw08+9KYN790lHdvzE5qrr0yolmzdd4ZW4tnyBZkLklnIHj0MYflrqRek9y33+Wz36wxihSjSHFu3kMLh8i4aOGC4yB8B0dKPCWoSUMtBbavDL4ytgbcST1fp2BuL+vLzMGt0h5NkbO352o8LyvQSnL29rwIpUK+/rDiU/e0UJ5j7baK/n5mBs+88CTJHA/FaOTympuHfPquLh/82gT9uEYz1eFupsOjLONo8m4hIbIrKTu6sqT1SwBPg7XYsUzuOorYcXDixAJdJTaecmKm6zE3Xxpz06URRgS88UUDRpFNo3/mmz737/eo+4KlruLRJzy6A5mqpDFftOIl6vQY2NbAa/eFbJq0LYw6Mbz5u0Zce2kMCD51h89/fm+L4chDOy3cWoN6W7Da12itqY00yu1c86x9zXcZ+Mm/EYOHoy6u32o//dinLp1s9RVJQL2W0KyH+G6ENoYokri+4JFDLh+9tcGRRQek4NAJn89+tZn/jomphBuuiWjVbQ3wt8zgpFGllIK1vuKBxz26HYl0FIFWBEZZZhKOnSIkHZAKKSWulBbM0uBLjSctEDwFnipm9FmQF2OSXcc2AmSNx2VwW4ZPy2rdjMGT0j3GdyKMCTmz5BEGNfwJiZemvVValVfJYmYdPRTp9QLkdipXGLlMtRQ7N4V4YsQw9hnGgrpjh2BmNSRZQkvJcnmrzD/LfkYa92hdGoKv07KJ0viHOEnzBsomyFRsW+Aia7k6MkGqmB2bdLpiaC7fNSI0Q6Sj6XQEDzzusDaQKJlhu+qKlcEusOn7Zg1ufFbIxKS2agVoODbphBLUWwmfvaPGnY/64IAW0I/tbtfGwDDUoEK1sDK49G0/8rr26mq3OzXWu7kO4KPhIsFo9Z1B/9CLGu4KXsPkmbqaH+C5IZ4XEcaG//7xJsdWPLv3h5DECDqm0GHdVTj39fKv3ADguX4U+XMjBDrbcoF0LJaQNtCRdiiNIwSuSBlapmnnFNj5oyo9OmknvSLdeo8c3Laty26J4nsCzyEvMbUMnrK4o/HS7KjrRvh+xKklzQe+1ATHw5WiCDBzebJBbXXJJ86GhFqw2cE6YeTy1pcP+as7hjx1vkU/cWnEdlNaWwVoik4cleUESsGeKGIbqwRkqcAru+u8FsZxFG5iweymQFeySJoplSClfS6FTuOhBEdohNHMNjTf/Txthy+JVIZkWSBhNjj1RVJAaIFJVPGntKtHJJo90zH//I097n+yRhhFJDKkE9VQ2Ox43ZX0R30eeuzoiw4dOfXOOE5+5q9l8PMnPg8Iz0QnaDcDfFfjuhGeF1L3RtT9ISMd89HbGnzjkTpaWCZFqNI4sIKxkm/F2JQ0G2k7ztijSHcNy5qYXQGuMLkUcKR9bYdLZk21pUIih9IclIy1i676AuAyly2+Z/KWNs/TpcE5MW7K3p4TIWXIiXnBYreGcBx8SUWeSFG6filir7J0qAAvdTrC2GWmHbB7y5AD8wHDxGGUgJ8I3MTgxqkOj7MiM12Sv6p0NYk88WIn7RYN3IU00jiJtnX7jv18J80KW7lSzjWkA4Pyz9TF81BX8hT5p1fGUTzTCl7qBRUGgf0c10l44bMC3vrKLh/9iqQXKgIhWDYegZY0Y/AEPHHoPH/8ods8rdfne9YB3NFPAYJ2bRFHDan7lq1qXojnBzx00PDnX2jzkS+3Ob1Us9QoM3CrKiPn4C2BurR8lf9NXpaZPs8A4ghwU+/VJh2sQ+Fk2bbSoxoDeTYiwlG2eq7ccGzBLe2jlwE9Cz5TcGfdP47OJYrrWH3qeRExEZ+7q875xTruhMLLpIk0VQel9ItzBjdVfVxO+owCO8H2Vc/tc9djI7pxjYHjUI81YbpCZQVRlSyj0BSdQ1mgWSRZrHWoLHvn3VUCRwtiZYc0OVkVptLEUlUBrnTuR8uczTNQ63xSVgbY/DkUQBdVkOcFdKV/J4VGGo3WCTtnI37jJ7tccXHMn38+4pGDmtCtE7oePaXwHMloMSR4+HRl944NAW56HwHVfF60/JnrdLiIIGKtrwmihAcPCR582uML99T54l1tcFI0CFW6yypl5eAtY72oq8vOhSolDSQW1CqfSFUkF5RIEyii3LGTgZ18FEIZ2PkcFIXtR9wI4FnAmeluJ5MlJtXb1Vpyz43w3JD5juahw3VwPJxUnmTp+ZzBWX9IbA6gaKIuWFXmnngUuey7KGBmckhntcEgVjQUuLH9Lfm8x6gMcCzI8w+SuR2bl0Vok7K5QCtNogWuFiRKkijL5LGSqRWpS1pf50GtlCXmliYHdg7wjMlLJRbFtpDVxFDlgihbw+kFFGvFtumIf/OWAddcEPHFe4Y8cLDO48frJMZjresS9Dw2TW+67p9+/y3P++6XfenO//AzhZtSAfjh0xFSDb/71Ink2m5nSH/o8umv1ukHkgOnPJ466aNxoe6Ccm3AJwvWlqUeyezkSkrlrakVmP+t9KioAkOWQG6fZ84BucesUrA7eYtaAez8ed69UgA7a7617J1qbodcb2eWoGXsAtxuXp0YIYi49Zs+dz3RQvoOnhR2/nZeQVg6DnlKezybudFoNLsjwnDkctOVQ179/B7vubVFmPj0E0ktMQRx6aIWJZkiZcri5Y96JiYH7chi4FIK7kRJlNKW0aVMR0volEx0qUSiDMQUoFLnO0VnDF6WK/Z7rWf0PFNdAniR1FPoxCFyYl66L+a7ntPlwMk+B087dEeST3+twcqK5uKL/Wu3tpa+e8YP79yQwQ8ePsPUZOvlf/TRL/3gh/7Kpd+/kCiBM+cts+St6apgayGFTeOWAKmoslcZ4EKYsdfF32Xpbxmgs7LYMqjL9cpKkbO5k3XQZ+xdAruTdsNk+2xm4LbjFMaYO+3Z9NL2NtfJGg7i0j0iJOKjX2uTGB+VZy/LAWbR15itWRUNnrF43tUkbWN2kgWbDgKXN794wJ9/LmBNRwyTGsNE4MbkLC6lQcYilw3WLhzXorJkTYpqXbaTdrmrFOSOQWmBk1hGt1OBZQpqicxGvslClmQypcrkZYBXmbxgdkrZ6qJitBgKagEupSFK0ipRlXDJ9oQrdtshpLdcOWQUgOEE01tXf3Bu1+tv/4HeyS/VW7uqAA/CkMFodNHy0mjv4ROGRM0QGQNNU5IUIq8msxNbbZOBIwp5UQaqGAM5FBVpFZDnF0TWwMA6NpeiWn6aMXY2c1Dl06sKkCs1NuwmBbbdSFaU5qNY5nbdrDHZpMxdBJhOib19N+Shw5JDZ2sY5aKkxJO6Iq2y5t2KQVSh77IGLxogsqRPkiii2GXvtogrLuxzz9N1IuUxjAU1aeerO7FIpVvahROnOhyJQFP9SFFicVGSRsVkqmw+pKM0ibJAV8KkMkXaiykpD+6UBbhlGZilwrjsnGYATlvtykDPgF0Mj9KpFi9ns0t6vxS8TjYE7ZpiMEqQJtibxKOLtI6+tI7Bz8yv0umNGI2GTDc00tGEWhBnXTcUckKmciI7mfn7oszYRffNOGuL0r+pdMSX5U2ZxctF+Bmo89kn5OBWqsTkpTFtjpIVgJeH/9hue3Jg59nKnLkTPMcmdmxXUIQh4uNfa7C8XEf4jvXdSyvLuhqUXHBSsQizERnlOu7cm9aKKHLYNC1500t6PHS4TZDUGCiPemK1eFbOqiQpuLO1QqeeeFaYm0qVMT1emWgw1smu0gnAUhqUzlYnkzYnF00m5aaTooVw/HlJjlTOewbwcQ2uqpWjogB09t8qnChbTBaGCaIxIgoX0fFgvUT53fd8BiUlS8trTNQUyHRmRQbwUoAqSqCmtNxkIC23lYlnYOz8vbGLoOixHGPwvBG2mMYkx9i7PEHWsrhEOVWAe046AMjNtg5MM5yOwc1T8Tp9nlTujrL5gKdOwMduaxFIDyVVallWZ7KMZzArLgpjJaUVHZ5q8cRu4uQnDm962Yg//cKAx47WiZTLQEq8RKfukUAm5WNmEFLk0sDesuxhdd+iMpMnGpy8OMvgaDvHXaWlzzL33gu2lrmTo78FwKmAtYKLMn4qGpzSRVEAfzw5mks7bWOJzvIBRoNzGFNINAfg5Kkz7NyxrfELv/o/L+isLND0DQZTzOauNAEXJ2wjRkZU38+6Wdb924ydx1g7A0e1J1BUGLzC4moM4Ko6h1BlDJ4meSrgztL3btaYrO3MkLxFLOvpjNN7hHJDDp1x6IUeKFse4Jb1dwnY5d9acVFKetiMe+G6PGTeavGmK7h0+4jHDoUk2meoPWqJrdl2Ug2uhJ2xbRNLmfesKQqhdH7m8gxnWhbi5INN7XsqZXR7PO0QJ5mzuMjZuwC4KOnvbNUdAzzFOacEYClMFcSlf1e+AMZvWXte1teaJBDGAulvveCKG36usbry84Op6a0W4GfOzNNZ67zsir2bfvHJxx9H1US+nUhisllxG9v05Vl2cuy99Sf6Gdh8zHXIaqirgyEzmVIeqpmOHcsBXnS7ZKxd3sXYVVhXJQW3BXAxFMgty5Mye6u0r9MLWelp/vtftlge1hC+rf32Mh8+jxFE5bc/0y3veNHpmIyKBpfp/pIO7YbDz76hx1cfarMceITSYSglXtpDmblLRdeNKElEnSfgDDoFty4K33JnRaQMbkGsdRrE6/QYK5O7VusBborVowTy9Sxe1drjQM6n24oq2MsrYJG4ysCdzVqXjEJwJrb/4umTh+6Mo+Ff5Qy+f/8BajWP+XOnqPsJrnZt94i0PXNal1qQxlBeLiArlpRSUPGMYC9Jkwprl0YWlGWKLOYNVqVKxuLjALc2l5NKEicHeKa5dR5Uuo7Owe2mvZxFR74Ft6tsNvcjX3N58kgdpIuUEl+WgmxR1eDZj33GasLSMS3mMhYyJda25SyOXa7aO+C1z+/yp1+ooR2fofTwpciTPkoKImFKsrHK5KLM5KUuqnJNjFagjF0VtBEW3JkFq0lnTprSecjiowzYKZPLKrDLgB/X3+Pv5eqgJEnWxeemIINY281/g8hhtaOJT5ylP/RI4rCQKO1WDd/3aTU8ap4t6tHpf1/KYuxWubQ3++TyycvAm7P5M4Jb5D+szHZleVJmcSWwY8Uy5v6WAJcFwPNETwZwY+dkp1LEVYVb4paGAxWa27K369ipVasdzWe+3mKp40MtdU9EEYA9k0QpJ7vKx29D266kK3WSuSkOU23F97xowKfvGrHc9wmVwzCRqT0p0oBfVGIYUTlZlr2zt3TO5tm5FTiZs6LS5zJ9LbHTgaV9LoUgyQLOVPPnbJ572Nm033GAlzV5NVYbd1ay1zm4DPnFmTtO2WyZSDIKwI9dYu0Rp4rMWV18msnpqT0P3P/gv7j77nOALXxRUmCUQei0tNsUy0OO7/ISXHIMKqwuSGuVN2JzUQrIRFV3y+K9DNgFc1dnf5c7XOxwd6rgznY2yJhblZh7HYNn4yaKkROOspnLY8cFT5+oofER0smbc4vqwerFWbgaxUEp16IUTF5s/FTZFiRrN0scMA6X7Q7Zu3XE8oE6JvEsiyep519ycQo5WC70SgV3VkYLaV22KAWfoGXRIFzMLkx1ubQsLktuSiIycIuUyQXloURSm4LIZAZgsY7BMxKoJoNK4Kc8faFsr8p0iBT4nuTs/Dy1qYv/xRVXXf/Ig48dPu6sDUKMGm5Z6gYvf/LIOaKokS9tmRzQxiDH2btM2xWwbwDmEtuLTJJQlSRliSIq2tu+ttq7Cuz8UZGOAi774OV7uqW1KoO7BPJ0v3pXpaydsrdKXztOhFIRn7unxaGlOniFPHFLwW9ZepUD7Ge6VUcQFz2q2UnTJS0ehg4Xbgp51U0D7n+qAdruBT+UEjdJh3wmValkQZTq8ZwCU5AbU5IoJbki0+cyXVVkdhckijTYFCU2LzlHOltBRK7Ny2CW2fyciiypPi+zdn5hjtUuZYOhstjBGPtZEy1BkJxhojV8uZLDLTU/PO6cW1SMIsmxM5Lj5yRzkybfdlqmx0RuMGWqgvEx/b0O0JUTL9aBQKRZvzJzi5J7kj+WgG0zmSnIc4kyBu60mjCvMBwHtlMMCMpHvDk6BXls5YmKqDdC7jmo+KuvNxmOPGg4OFLgiqo0GQ8wyxJtPbo30N9jlmHZF49ih4mWw+tuGfGFuwbcd9DDNF2GiW8rLPOaHVEweK5rRQkoFuR5jZ/BBp3ZBaYsmyfS6vEM4IksAk772pTioerKm8dPuixJTWllSy8CUrbOJFx55SnhaYNDV5J4pIrDntOLtkVctC1hZkoThRonDCKCUYSO7TZ7G4H2GYE9Jk/WgT37QbCe1cvsXQJGldXHgJ1eDDl7K5HOAS/AnT26jsm3DXScYoSy42QVc1Wguzlb27tKnRPPC4nChC/c3eCpkw1wXYRUeIJ8c6lycCnk2G8dPy6UAkxEaexwyQs3Ik1gyNwTTxKHMHS4fFfMK57b59HjdYLYI5EuQ63wEsa+S+aFM8bg9jGXm2rck9doJWyzuAEjBcamRXLPPAsydRpgSi0KF0WLdXmMfMVO8WUzvJmTIkpWoX1tj1cRcD4jykvvy9T310bZls4kxiQJzh+8/1aUUvS6XRo1p5IOF88A7vHAsjiBosLc64NMC1LyK74K6grASw21mfYW6et86E2ZtSsALyan5sBOgW5n/JmcqZ38sXjupsGloyJ8L+SJE4Iv3dVgMPSg6SKFqFiD2bTXdVnMdfQtKucnD5oq8/zGEj6lAqwwcmm1Ql5xc8Cn7xjx6FEfHFsbPUpSR0WDSkruRfYVUqa0Mz8ysFdXE0dRSBdp2TxbVWTK5EpasGdAzzzwspyUAoRefyxyGbfBql6pUREloJeCzGfiWpH+nFhIpPBYPHsfg86TJEmC0+8sIoQgiWOaNWurydIHj4PZlM5Z+epaF1yOgb3wue0bZVCX5UhVnpS21pBiAw+cvMAqy7Jl9WBWnhQzwteBO727pfpnaw/G9p527cQm4dY763zjiTrUbPWkl8kTUQ0u8yCb9Sdxo/WvMnaYrJy1aEZO8nmOBdCDkcsLrxrwqucNePJEjTh2MUIxFA5uQvGdkoLFRVJ2VNYzefH5dlcOk2lvo9PXAqmF1eFlv99YGaKkKAAtTYnBy+fXgr4CbLGx20YFYwXbbwT0DIM2VhQkicPSyohuL7IX7fZNLlIKgsDQ7dnI34z9jzdi6+oHiAro11lklR+wwYB1Ub76RSnJU2wmJVUpo1nOZubMXYA729XBGQe3Mjmg3RKoM+fEOib2UakIz4145LjkY19rAR5IFyGUbYnLrEFROBfjv6sUdo8BjKImhbGiq3IJbWJb9+yJU3n63hiHN794yJfvHvHAETtJINKKQSLSgq/0uyQpa5dmF5TXkKyiEcUY0EEZ0gvQAltJiSrZmUpZcEtZsLkQoHR6HnVWQjsmO3OWLuFCFk5KGfBFwCnWAX8c4NkvSxJBP6gjpYtB42yadJFKMhwakjjINwAy5aL0Ek2PX0kVFq9YPVVQjwMcUb7Cy5sglQBesgbXpeoz1hZpA24F5Ja5XVnV3BXWzh+zxE6hwZWKcd2YKIm5/b46jx+ug+uCtMGll48zKwVX+fffWIOPyxNTepKXzpZqRCrVhYlEpxsKJIlDELpcuXfEC2+wLD5MLIsHwmOkwUlKbkaS2YXZUl9cZKbk+Y4D3BjLriZN3Rtptbk0Ng9hUtmSgVxkYBdpcJkdC11O+oyTWgp4XdbeZRY3OfY2AngZi9l3DkJBkEjsoDmBo8pJEmkPdjbSuLpUlLWQKIG6rKHKAeb4BlFlJi/0NmMaO5cnOchLaXpZAnipoycHt8wmP1Fi8BK4VQHuXHens/4q8kTZqsFD5wTv/0KLIHKh4abyhLw1TYnSLsGidGFXApDqKlhGeRnolUGV5V2FzUZa3KHpS374FQNu/UaTg2fsxZdoxSBRtsowEfk8QYRBJCmTJ2MrSQb1UsCZbSyljA0wjTBIY8EtpdXnMpUtUop0vFoK9oy1zfoVrVJkV/HEx2O1EmEKihWoxOz2vapeybeizEgDg/O8W169+dDhQ79y7P77snGDpSxYGeCydPKqOrx89RVX4XppIsb+JtMjUFnCMtYusXW5BlyWgZ0Gd0oVW5bkj1lgWdnGpHhe0d1OFdyOighNzCe/1uSRQ3Xb7iMclLCZy6wOvtxcXJYphYPEt76VrEJDYRWa1EUxOt08oAJyidYO4chl38VD3vDiPr//IY+hdkA7REIy0Faq5L5zklV+ipyosqXfGFKJUkgWI8Eo+1waMClglSmC0Azc0gjrf8vSKmZKYC/JFF1e2XQJEzLDialiqESo4wAvYrzCbTHGZqxrKuDaa6/6ld0X7H2bc+jIycnzC51XLq+OmGh5lYGR65M0Gy8XVR+zGpxWwV4NJMuPlfqTSg1KuYjJVOSJTFk7KwTKt+NQ5ceMuc0GoF7/qFSE60Q8fVby4a82sPNXLHtb7U1RWCVKsikNmLLAaTzQzF/ksmRMFuhqbUjmpJh0tmOSznfUiSJRqRZPHL7vJQM+dXuD/addkCFGSILEZUDqbmTHODH5uSoZgxW426bdavCpMrlSeszY2QLZZjW1LiRLls7PpcgY2Ksreyn4zHAjxgG+QV3TOqVgLw5XCTxnBHrtlWvLJyYdaUKUiG1yJztBqeatJGVyxhZjV1J5KSmW53E5sv5x7CDIKgtmwBaiYO0c7Bl7lgLK8paBqiRPcrCnzK0yiZLN/UiDSkfGVnurmETFfPbOJvsPFdpbCJmPrCikSTmIYj0hlEmhStyl50UDcjHHpJT00UXnu85Anqbww8jh8osCXvO8Pkc+7BMmtp0wEYqRkLipTBFkLFh6nqW/c6CLXC8ZI1B5TGBQFFZmzuQiDUBFytj560KPZ8dFlyXKBk6KGANvQYwlPK0j1rFmGWFLBAwQxYJuX4PSOPWapObbLZ6r2cL10qJggLEPH19OskdZ1VIVYGdSSFTT3Blz230bC3+50N+mqr+lziVKxuKqAu4ioMy0tsrnfqQJHpnYTVFVgutGHD2n+J+fbDOSrmVv4ZS65rPgtlRcVD4ZpdXsW6qTco19yQvXpUq/ItCUxdwUJdOx1A5x4uInMT/9+j5/eXuDI2cdkDGIhEgIhkKgSun7vIy2WNSrX6jE5AV7p1JFFmxuMgCnKXJt0pjJkAe3Whf1J+NAHwd2RdZViHOD12OqQYj0YpNg0qA6MYIgUnihwgkiWyiPMUVVnqo6HBU22kgHlUE8BvSqW1L8oA2fr6v/NiX9XWLwMrhl4aDkIE8Dy3yntZStC/2dae5iRwhHxbhOSDfUvOfTbc4s+FaeCAchZWENli/C7Pn4kpsdk4x5/jqg54AvNx6IknWYDe6R6wLOOHbYMRvwE6/t8Vvv9+hEdtSxMZJAK2sbJqVgTQjItW4hR/K1Jctgpn9R6WWgMjY3ApOB2pjcRTHCXhhaFEVXOg1O9Ybnu8CLFutBvE6LPwO756aEySYzWJfHdexEYMek85qFLJpz82o9kQn56myT8rbUFeCXl5nSFTbe1LARyCs1DKVu+iqDm9KjKYE6Y/JCouQ7rclSQDk+sUnFKGnvjopw/IhP3Orz7o+3CbSbyhOVBpesbyreIC1faMnSm88AcVPGFdWMZlFKW600rJTSSkUiHWpOzE++sc/TJzze+1mrxUGRIBgJiSOMTfykuvyZmLwAtSi+YJ7ZtI6MNgZlUlAby5oW2JbRc80tM9YuWF0Is57FSwS5IVOzAdg3uBiUtKsfGDvNRICQBsc259qdDDzXdsFkFl0uP76F/i4zeOXq2ojVMrYr1Sbkuju12wqwm5KDYp4Z4CXmlhlry1RzZxtTOcUGVeUqweLRZi1XVuEvv9pgNUjBLSzA8/FworAnnym5syGeS6/LPnPZHrQ12kXprNFZS5m0zcFaj4HbShWtHeLEYcJLeP1LB3zqzgbLPQUyAiOJtMsgd6qKxA+VYFMUPF5ySnI/PGNuY1KmTjW6SAPKEuCtZEj7CdLjY9aVyaYxQNl8GK9HGcfXhpgrsJmILOlkg/IotrXiTrOuCBuKdtOh5qtcN2WAzn56Ht1mfxm/wsZB/QzL9rjeFuVMYBnYYxIlA3VZg8sSwJ1sClOmv0s625FJKXuZed/WElSpLeg2Ym79eo37Hq+jpUs+vTYLLktZy+JuihVIbHxBf2sSTyVCuWS2tP11uaWs7K4kRqJyuWIdFUfH3HhVyKuvH/CBz3mgQrDzDwiFw9AaveRjO8a+kkmzJUVrYmYbFvagyoqvsoBTWJmSldZm5GSsCirAXgos5RjY7UpvUhmTAXuswjB/LAF/XLakzyMJwxF0+gLlC5zZKYUyioUJBVJW5pUXV/fYFVR+vcFVBUXgsL7DxVSq7gpwjy/9BZhze7AE6sIPTzdmkhuDW5WsQansRlUq1d+OTFDSDn4/clLy/ltbzPc8u9+1dEBYDZvv2JB9X8r1OmVAi/Xg+RYCPGNzTJXZK83IJT1uyjIlY/FEoqVta9vcTPiRV/e583GfI+cleBFohRaSkZAoLZDZAFhKbD52wWVfTmXpzCz4JGVzmVUamvz7ClEFukhntZhS1aCQJmV2C+q8qjCXdaYE6LK5UcQQ6w5peXVMj98oSFhcTdBS47SbmiQ0TLUgShuN83kdbPD7S//NDbXRRuyNWcdwmUaqWoMm1VPVMQhlQMsyc49JFLUhuIsJqRbcKchljFR2iGaQaP7wI22+8VDdZgrKwaXIhn8WFmV55dmoRa3s5ZYPXZUxS8CGUmBXdVRyYJtyGa0uBZwKmWhi6aBihxc+O+Rtb+7yG3/oEcTSNqJqSSJchtiCteJ7blBZWF5Vsu+GKZXPpmwu005PYUEvRRXoQqQ1NumFL4XJWT276zIp5llXcjAXLJ4BewyA5WNoDEYbYg29fkR3kODVExyV9iXWfI2MU9M+KWbYlVvUxpcExgBePcmmwuZVvVrqG6xIlI00uNkQ5KosWVLdLTcAd5aKV3mdSaG/lYxxvZivPeDyqW80CAIX6o7V3il7+7k1WF1h1nUhlcFdAvR4Reb4icmZPPWhK+DWRSFWzt5ZN7mWSK1QRqeDeqyjUm/EvP6FQ277xpAvP6BARfnVFuMwKDNjzuBVkBvsUKHyKmOkST1w2+2TsXlmz+l1QMe6KHlwWaxy1U774vhkgH8mm5B0UkDlMOZlxrZ3OE40QaiJY0OSGJzsShXC1gODIRHk9RCGZ75VWXsszVr6koXu2gDo465Jqb7DMqZGyqoGz/alX8fc2fNSKj5n7PQxCyqVslNi1/qGW+9scPBczabkU+2dsXe+R6Qofc+SxBq/UwH0t9AnpROURm5VByVn8zEGz50UnVuGUiiSJEFKhyhwuGRLxKuf3+e+/R6dME2/aqvHI6EYpcy7UfksWM2NFLlNmO9QKNazuTbFtoJGijTALLp3jBwvtDJoqmAvnLrxVH2m0b/F8aMghSSxDJ7lFwTgjAJJEEqMtk2k2ZZ+UphSJ331I/LKNNZfcZRBjFkPAgqmrkqU6nvVPegLJi8HluWpp/mY3xzsxdB2x0n1dsraStqWNE3Cn32uzrs/2cSIdFuUlL0VlKzBIjX/jPKkdGIqIH8G9i4/VmRKpr+1KWU0x8po86xm6qxISWIUSmuixEUqzU++bsDhsy7v/pRDFKf1BcJuCDYS0nbeQDrxd7xvs3x2S8wuCjZXpI0QIq1VScFvbUGR24O5myKLMRZ5RSmm4pFXbGbK3v3Gh7Is7azTZB+FEPjpxmKO3XPSAgNJ2nNtLSqR63BT+c1i7HlVe5rK65ypKTNfNQsox96TY8xdHTBjClCXZEnG3kWQWWJuofNkjsrqTdyIw/OST93epN/3rDSR2X6QRWIn3856zEHJNfX4MchPRMk2fCbmGXthKN/HNsvVxd12vpc88by1TSKlnWnYasa87pYBX/hmncPn0gyZFoBCC0GAINvRZ5zJTVaLkn+PNLOZJXRSSEhZ2IaZNSiFzSxaiVJkxI0pVQ5WWHyMvUsBZ1WejD3Pjl8OcNJR0IY4McSJ3djKmdsk8BUsz2tGURrZyiKjNX5bB+7yF6kwmdkgw2cqcmU9Y5fck7J8qbgnpgB2+uioEthL4LbvF9nKLLh0VEwQaW67t8lXH64X0iRlbylS9pblwLIYelNNUlULhCg//xvcysFcDvTyXdsy1jKLm0ryJ5UpWqKFQicaLRRx4PDSa0NeeuOAU593CLQEJIgItCAmlSr5GR2XKyViE0XgKaUdLJIDPdXaStiyWZPVhKeEZLQ9RibDSkWuVOVtkTQcw1QJeePHtSh3MHnP6Cg0DCOHUezibNu2dU3Hoy8ox/snOijMeoXJtrLcEODrvkAZ8BsEm7LyvKzHy8BOtXcJ1Jmrkg1ezwJOJXVaRajHHJSi1kSpcXBb/S29mDse8HjH+yZItGP3NxHFViwbpeXHR5BVbMLSgRfjJ+FvAvR1FYZZAVYhSaz/XO24l1JXasa1TMFu7LAgz9P80o/2OHja5Y77FdpLl9D0W8coRsKiVBgq/ZomRZMhDSRN2i9gSkA3xegII6oBZpnRdeWYlar/8srCcnFeUTlYXQVLFuI4IMvXoTDUaj7NVvsL23bsWlMX7NndP35q5Uh/qN4WRnHedFD2qTec9FpKo2ep0nKWr9pWVvaty5nI9Lkq/T1LvauSBVipFtSl98a22SjtCpYFlFlQmdV5O07M6RXBO94/wZ0PN9M+Sw+UbUlTys7frknSndvSmSqyel8/mzybk1gdRqTSdi+pyrNcimOqKseTtJYiu6BL9mklGE/JQFKKCdJ52uWA3hg2zcT4jua+x1zWhrIaKAmBzkWpKJkqG1yhObMVrPetDIgsSbReemXviaoVmWVySyNKqv2q5fdE5XX2/aSwc+Fnp+tEo9UfOXnswEHn9EKmrwwtX6Y79lXHbVV+as7YpspcGwaV5dHKpb+NDUsvdHd13nR5qGMhSca31MgAnqzX3tn2dyXnJPES3v/pCf7qa01MLWNu63uTZi2z3RqqWUvyfYQ29vqz/9vgtoF2HJ/Wm7kpxd49pee5Di574SbX46bM3lqSCIXUmkQq5FDx+heNeOpon3f+sUvox/YLp5LFIAhzoZL+yIzJRfH5ZJYg5C1reaInDTStXKmueFk5bU6apJnOdbFata5bi+o1tU6Hi5zUi+Mv7XSrTVMu7aZrd5DzPZlev7JUuFTVypQ+qAp0U5ABY6BO/15kNMdlSfoDx4Bd0d2iqrmlsPUmNjAuAVxuIE9kCdxpQZVUCV+93+d9n2syShybsRQ2Y4mwm5h6Wc1JKbDMf1O2pJI9L3ThGDGuS+w8s1Yp5Ei2S1ily96YXKLkhVdZ6j4b9SaE1eAZyKWtF9faIRF2h7gf/e4+dz/q8+WH7T6kZG0ZwgauYVl8piA3sgg4ESKtLLTS1TY3pAOYRAF0MQb0zAOXAkRJvqwnCVMFax5wjhFECXfZUc2URiIESWIII8MoNCQJOLOTGZVoJBrXLYx4KDTROgYvAZoKs5l8uagGFc88VreYTlrYgaIMblFl7mzguhJJocPH5Elxj5EyRjkxg0Dw9j+Z4OgZH+Omew2NsbcrKXZOGGPw8u8pB9BVCK9741uC3Iw9L2eQK0xeCT7FMwacWqaOipDIxAaeSai4cFvMr/7YGnf/W4/eSIKILYunP0ZrZz3IdSngTNlcGQFpY4FJwUrJFpRjQM+OUZm1tRhrzn6mOK4UYFZt2LEjmuIu0RbUy2shg5F1VJy9u9tI6RCMuvS6Pbts5QmeqpOSLw1sHEhWXmdfVFbBLChS8uUNi8aBbUGV7hyQsfUY0LN9G9WYe6LKsiT1vOME/scnWjx8wMdImSZ0MnkikWKsYnBcnpQDyw1OTnFiKmdmDNOm8kZZo1YCzXEnpQzkcWBnksUYTOaLC8viiVYIbRBCo7Rm32URP/u9XX73IxOESXoFZ8XYUqCNItTFFzcS68eTJnF0agsi0pqUAuRSFMDNgK7FeNlscZwyCVIM5RwDehlP5QCzBPqNpgLEiabeatD0W5g4wXnOjS/H9VosnnuUg4/dSpTUiRO5fmRyibUzZi9HvpWTLYsh51aibMDeJZ1fGZwui4BJlti62Hw0c1A2BrfMpEnJNVH1hC/fW+O9H2/RGXp2iweRMjdWnuT77JTlyVggvc72hOoyW8J0zjzjunxMe2cvqjUppc6aMWa3JbTpzMDMYRG2dSzRMgWPZXGRPmqRDtKvRfz4G/s8+KTHbfcoaIgCoQbQAi0VYb4DSPajMsa2xVMmBWbmhefGA9l3LICeuXI5o1NICkgdlrQAq9J1Pw72slNSOoJ5ql5DrGG1G/GaVz+H5910DZ1OD8fzJI6nqPnQqEUMIx8RGeJEIlKQr18Oxpm7KkUyEFe1dxnk1e0tiuqzMoObiuausne2Gek4uHUOaplqb+nGHDjm8D8/2uLwsptm9DJ5YqeMOqn2diUblMSuB3feoV4Ce3b0C634zAHnON7NBm9kzJ2hu8raNsA0otDmIksGSVtOK3ItnvrjUpNEmr3TMT/zph7H5x0OnREYpxQtSAGaHOQi/R0GcFLtnTG5EjawVNqiLy/EEllWswp0kRdeZWxfBbNcl8IvgF0xMsqLoCkyvYmGKDb0Q0hQOI6LUC5OnChEoohiZTciUukyl4f5ouQzmsqVtX57igLAlXoTyvNDiotCjrP4Opliquyd3UU5i1kwd6VaUES4fsx8R/D2P27zqa81MG7JMUnLYYWUpe3Cs12Xi+xleRXKgb6OtTeaQDAG6tIbFWlSeq+YFV4UOhV14VmbmGXcqv+dtoYZuxlTxuJJYncrS7RBJHaTVkdqXv+iIZ1A8ou/ozi/JsAvSxVykAc6G4KfWnciCzJFCu606UFUqwozNpeCyt9zh4T1ck8LShuYFT0IlYRQYe5YXZ8BXBd1KEqkO3kogasEMk48EtOYjxP3S7XGJhwZ5R9uP68EuErj75hHnbWJZY2/WR1I1h+ZW3tF93v+71RRQ1Kk3jfS1uU6k2SMuctgj3GchBDNZ++q85X7G5g8kZO5JlZ7K1HKWm5QY7K+ErIE4nEGZwNg/3W3dRQ+dhGYEsj12OtyGn+8tDbtwE+0Sp87aKNIYoUwgpddP+I1zxvgidjWSJvY3nX2mKANhBoCA6EWhAYiLYg0RIl9Hle2H7TD++PEyoXYkP89ruzFSbEHlK7e129paNIUfFrGrQtJUr5pA6NAs2VuhponvzTV9ubrvkTObb2IeO0TxzdNLvz3HdtbeM6o0HZp4VXVCTGlAC9jUZP3PuZgzZsPshqR8lwSC0Y5DmxZqiWR2b+xALaaeyxLWWJuKeNUf9ukTiwSPn17nXf+SZvTS67NVsqycyIRQpRGQYyPHzbr9/fcQH/nBF0hhRLGvxXixwKkZwosi+ugXJ+yvhDLgltWxkuU30tS6zAKHHbOJPziP+vy2lsGuMSQlMFdgNykIB9pCDJwp/unxtru4RTr7Ll9nQE5A3AZ5Bb86b8xgjgRJAkk2UVR+ve68mhsSaxZL5szUuqOEhqbtnB0Ifjv/9+ffuX41VdeYvfo+fIDtgXx5CmDGEp2bXYI43F7bKzoadz9wFQKqdZpbUrvyXGZYkrSxpQCTZ0/V1IjUlclY+0M8DnwRQpwL+HUouK9f9nk4BEfmqpg7TQdn7G3K6qNDGoDBpdizCUa098FuMcGHq1TKKmHth7jY++V/Gc2tgozuVKxCYXV4rJcdSglwii00Qhjqw6F0cSh5rK9ET/6hh73P+FyfKF0haYyJXs0UhFh2VMLgZe6Kzq1B7VIh+FDPkrCjpAQuXuiM3xQaPAsqKzMTUnPgy4BN9P1ZCYEtrhLUq7Nl1x36Yhbbuqwc+eAMAyAdBOq2dnrqNXrzC/4HD/RoeYpap7dt1041ZM9vhHouDNSdO+sB3oFxJW/FRdQJe0s9DNq8Cq4kxJ7J6x0Jb//wTa3P1KDeom5S9JECFsK6whb+lnR1qUsZgHq9WxugVwAVqx78q2VyTqlYgTG6PUFV+UsZw7qol3Mgl1W3jNaooVtVrYjHNLdg1FooUmEQQwML7o24Ofe2uM//YlkdZAjjgJlKciFJBZ2fLLW1lFxUj9cp4FvXqKRluKqHBuWFGxGsyiRLa+QeS8nhadeThjlWVRj614yhNvNDgQtR7JnyyT7Lr2CSy59FkEwzK9VLt+7hedef9lterT6Dtdp0OkJ25WssxCq3FVTLlfdqPfRVN5TY9014+9X/hsy7YTPNXbxvGL9yXF5kmYrVcxIGv7wk03++GMteqGTThAqyxP7mGnvdbJkzDFZJ0s2kijpiSFj978h0Ktp+jJ7V/9NtgFYXr9RkTBlVi8ynNkFo43ElHaLMEbaXRC01eMtF972xh4/+YYe9VSWVGVKBCYCk6Q+eypZjJUsgYbIQGSEvSdWn8eZlCnJlyiTNEm6O1pZ2iSZri9JncRiMHNJMsmScoAFsLAAb9YFtdokJ04P3zGx6fLblLezAPj2ndv5f9/+jsHiysox5aj84JSLrYr2MJNr7HwOSalk1VnXMmaBXfatC4svWRdAFu+n/y6fYZKsY+8yc0sVg2N46rDHX9zWoBunG/XkQaXK5YlIpUlR623ZRpV+7/oqwizALE2uKgeYqeT6X72V8wx5wocyc1dfb9SQnINay8o0rLJ8sY+qVD+u0EYRR5KWY3jLdw24/OIAmYwHnEkB9nQ6vx7T5YEWhBmIjdXnUQXYZc1egN32AFeBnpT1evY8EZUgNDG2saHcuSMEuK5Dv7d87H3v+a+DTXObC4kC8KY3vAbP83nskXs4fuQhHEeVAr4C2E4pk1iUtJaKplJpUZUgZa/crL+nK4S1HnUqV3RJjxfSREiNEgWry7TORLmax454/Ow7pnj8kI9xZW4FFtJEAaLQ3mVrsAxo1rP1uiKrdQxO5WiPOYN/za2YSzJeiFVmbYzJGV2O63JERZdn4BdZ8ifNFNkEUCpXtLLnJTRcc3HEu35xjbf9Z8Hjh2vgJtVlRme/TZJNzopTjZ2ItA5kjCiSzAdPbWKZxiiFNCmN3UiLpcTYKpoNGcomapUPsyxdDINhxOzmC3jeC5/PcDQC/nUV4JtmpvD8OpNtn7qvqXnFrmTZHG0nH7Cj04aEqlddBS7rAGwZ0GwMdooAU2QBpjCILEUvqvpblpwT5Wp6WvIHn2zwyJM+SZm5ZaG712nvijxh3SiLjSTJRu/nB/1v6ReWLcHqe+XqwmqdeLb7QlWTW0kis+dakg/FzIEuEVojRAp0YxBaoxLDvisCfvp1fX7pdx16MZYFdEy+STIAqgA7Eo0gBBKsLegIUcxOzwAq0nEVZWcqBXWRSDPpnPFCOahUh8s0iSQpjkd29WV9nYnUCOUxMTGNcgb5v8gBrhwHx/UOt9r1I3Mztb2u6uO55SmtesweNKiSy1FOuVezmWUQ2x8JRQKofDHkoBYlkGfMXQ40RWoJigTHTRhowXs/2eRjX2kQqMwlGX+06B3X3lVZMj6xKqvIIZUj1cGaRcf82CCkEqgroN8I2PmpKrG2KVi9nBTKmBuT9c4WJbTCCIQpEj45yEssbv+NRKa1K0LboFNgEInBFzFveumA/Scc3vvJJv1IgGuKYHNdZbe0gDe2olELiLGgVmn1YU4ipOClXHZcAD7bbCwzKWyZTLHfpjYUg4cwJYvUEMWamck6nl8/4tfcw2GUw7oA+OzcNo4f+MyXts15HxRB81e7q0s4ykkLnUpBZbk+JJMRZXDL9YCubGeXy4Ay+McBnzooFblS1eAibWjohYL3frbJf35Pm4VVz26/IJ0iqETlIJdUtXchTarTnjJHZTxVXykCKgO9QuPZ+9XCqr/xbazgqgr6MtBthjGr9zB5htPYGd3CjuDLU/qZs4LNcpJmPEVqHwqtSBLNlhnNr/x4Fwy877NNepFbsg3HAa7sFxNFbXk2Qjk26fHLGDwFu0izxMIUDF4BfApqRVEP5KT/zWw0hJbZ/p3GBqdxwpatmzCq9cGPffqbX/qxt756PcAB6jWBcrzPtZvRa0VsrtU6BATVOpByAZQuyRO9nrnzKrACxGn5fIXJyS6QFOD565y9U2ALjUjBrYRG+PBXX6nzm+9pM7/q2FrXjLHZmL3d0vJXGTpUliaiXPFYyl5m+C0HmBtYhzm/i78e4OMsns9HKRUTZeUSFsiGol+2YGmZpvKFEQXQDJa1tUgliUGkzRJCZJu/pmxubOVhHMZsnUr4lR/vstyVfPBWBbX0C+ZMXvry2bE2xXHGSEyqwZMUzIW8K4qqMmDLbC1I5YZK31PSzkBMhO35tCuDnbil0n2AbFziMYjUI57f+FwQDSvHtwLwzXtew+H7f+FOV4oH6jV9bRQlpMqnVNmXglwULL5OnuSNEOkpSxltHbDJmkvLjF/898hBbSyDpwBXQiN9w+HTDh+4tcG5RRdqKtUZZc87e20ZJJsOWx2BvHGvZRWqxYUw7p6UmbxM4H8DbFdwYsrEWAJ8LlWy16Y6wzt/z5S2JUx96lyfVzKgmaSxxXTpX9O9jy0pJKFh62zMW1894O5HPY6cccErgTyNpSy4lf3ACtB1UQyefb4o/bZSIVo5ub7WjwAAL1lJREFUrslkjJPGScoYHCFSXW9wTKrvU6CLNMhUjsNSN3zgXR/48p1f+8ivPTPAARrt3SAkOhlikm7aTJp1z5iKzZfXa+euiS5Fx1VZkgNgDNjZvym68+3Fkz1asCep/EnB7RmOnHX4tXdN8LUHa+CnRTIVSZJJFMsqtqDKVLbZG5ci5WTPuhqUXFNnIK7OIcze+9uokjKgK/LEVKVKRb6Qjk4rJ3cqADZFVlPb1aTQ4jKt8zYYkRbWlVhcoxAjeMlzAv7jz3b49++a4OhZwC1dzUZb8shZXBcsXgK3PWjSXhjZAcwMVZHTXo52gSBM/+dOft4s4F2djvIwIieqWBua7TqXX7IbrTVfGzum6wA+ue2fIIQKB/0+evBkUUtS6pqRKimVsOqSPCkswYK5x09hGejV54UO18XzVH/nzO4aji84/PofTPCx2xqEqFIJrCzJk+xOib0LzV1+rDgkGwSXG3reG/mAYuzxf/M2DvgyuIsLoMToGXNnjF1K3xvzTCyeykljUqki86xRzUl488uGJBr+/f+Y4MRChpg0wDSlb2lSLWJ0CdwbBClmg4NWOtDZ90fYwDXMm1EEngDfgGcMbirwBXDF3v9fe18ebUdVr/ntvWs6053vTe6Q5CY3IyEQCGRgFiQgKmqLA0+XU+OwcG4fKPrea3Q9beS95YTLXm8QbWlbfaCN4gQIIggoiCAGMpB5Hu98z1DD3v3Hrl21d51zb24SYpB+e62zTp06VXXqVH37V99v7sKH33mZHwQR/uULRwE4c7rguMUb3cKCJeWxXRcTjMCiHLYVgcWNUhOFj2rSVSmNQPo+naGBiRAeXw+eHE9K8UiC0QJ2Hrbwqa814UcP5OETlvY6STi3Zj2BDKiyqOnUUZxPr6p1NI+lqvyUjTHRg090ad74v8b3OGsSRGoChAHg9LkuNDBD4+Fpt2RFNkQdmFNOnpHiIjYbCgFVvJITFjMMgSiUjXPfurYCiwE3fa0JOw8jru0WmzGImoYGB4Fxlabt/9IVGxoDniEispKuTyhqnCDHgDwAIji6WvNYsaz/N0vm9904MjJed8Q6gLteCXu3/nyMWvlNhNoXMHBm2yFsK4RtBUkSr7JLM4unVhEN5CqkMS0DkN52IUijv5ZcLFNpjZ8QjGDfsIXPfL0JP/pVHr4CtgFqfZ2kJoTIP5l4LCFMZTJLRSYDOiEZwCe4bsi3zX3T4xlu+AzQkf0euvTWJoDOt7OZ+JwkDaKO9lLg5okSyuMMfQFwKplFJGBB4JrLKgg58MmvNmP/kKUpm0pq0/TsRaOLIrQ/l+FcPDsJ1AVTuYMU4BY4sVCjFiIhf4sxAsexo6ZiftO3v3//2LuvXXt0gKvBw7HrPc87l0Riuef48FwfjuXDtgJQJilDGAnsGZJuVmiUgwuC1jxHe1NMU3jcXFYgDcMVCRM3gaEpqkRqQSCMILQo/v0nOdx1rwefkVRjV7M94ds0mf2EmN7KrMeSZgCrJLVBWVAPap2yHFVqH88QDcCvu+whMpRFeTs1oCNdzkYeCk4zkyCW5lxmKkiJziRlkRnJsAnwpiuq2LTNxhdvLyIEYrNhUpsNmgeogdSOTzhS0l++ESLQ1sTRmudxCxKFAyCIKPYMMUShZjxgNkLLxTi34XoU+WLhz0eGx6/vaC02vJQNAd4z7yrs33x7VGxeIEhlCyxWhhA17DrM8dw2CkIZKGM4OMTw4wddjJdp0hUCAIIQOGNhgItX+HAsgY7mCEsHQlhUoOBKGsIDpYhkES4vRsKDY2Te/5iLH9yXR43q0po1ALYmvaGkd+xoUK5hmAmwkyYT61zbAHUjMwtiaxDFcQ+hv0l5n7jrNUtKEiOuQG1I+SxNieunKIqsmw9FNt1Npy1cmhAhpCLLOdxI4C1rK/jDBgv3Pe7J8hMEGt+eZJoLIQ3jAIqe9KecPj9AWxOHawlcdE4NZy4MEIQmwMfLBP/3QQ+HhxiIJQXZ+m0uDgx6CEQefljEsiX9YmjMj264fm3Dn55Ugrd0XwoRlX+wc9PjC//3LyYKQ0M2Nu+38NDTTnLnI04QVuTFMe4QBB5dx/HvP+MQXGDOjBCXnV1DwYmwZoWP887y0d0RAb4ADyY5gVhyE0bw0996uPGrJazf7khbd+JX14Gt2WHjC08JEpOTYSlJTJJTUJMsdjO3byqJfSwmQh0DukPHAH1iDkRiJpQKoTyTOi6epSlZwBuKpkZXIAz6AhFPrZifEwicPuDjSx8fxQ0M+PkjnmxkTycBuIAEti/Q3Rlhzdk1rDnbR8GO8MoVPmZ3RuAccFyAWeq/EOOaXL48SFqggAC/ecbB5r0W9g+6WL/rXLz/7WvhuQ6+8MlJYTT5uOue7+cODJY33PDPj84uTzCARoClGWsVSkxHcxJ1Jh9HsbHSl3VMensCXHh2DWct8bF2hY9li31wn8hgBt2cSAFiEfzkYQ+f/noJz221Y0dOhncbaWh2EjFIiXRqukSVYFPVYhGnyknKYrF0WS96ZBml5wjS1uGqRJv5XdpfVJVtk+uypdxU6ba0W7NWBk4rvGR8NtICAbNktPRRWKqctJEeyJPQCiNaU+t4oSdvqxBlaUSIUwHjZaLeKUAdgnXbbNx0Wwk/fdiLJYgGAyJvO2oEy5b4uPycGs5a7OPCs2ro64lkASFftmFJujjz1BOaHCQOtNLpr8UAUIqhEYa91WtH5i1563+zrNztBa8xlCeV4AAwc+a5YM4o5szchK2Hy/CVJy3LK5R4ERrAEckJAQ5YEeBEiDjFzoMU/+eXFu68L4cHV9bwzteV8arzaih5AjxMwQ0G/ORhF5++rRiDu5GoTewhMcDrpbfRsBWK46f0RJ+nevJ0sh6NJTfJyocTJONT7taIZyOV+oDu8Uw7FKcOHpFYU4B6JTNdR7X9YroSmxkJkZ8J5xCBwOnzAnzhw2MQAH72iBtbDuN/EQAlj+OKS2p419UVvHJlFXac5ROWGWqcQXAW13NhSTCY/E1AxBpsVpqr8/QDhiDqxOKBpSMWdn3P9hZNeummBPhZS7pqv3969ANnLe65c+ejLxQIZYnyrF9kDhWUL5KbIDXrCBAqgJ4DNAScuFRYyHHfEwTPrLew/k1lvOfqCnq6IvnIpAK/+K2Lm24r4fmttnQwJGQ4cccgVTB1Q7UW0AMkbt86059GTwwbt7at8TM6uDNKZtYzNy3Q1mPYvK6Zl0lVFGA1K4tR0zC1uqQmRLM1oGFaFMr+LI0AhOnWFhrvG08EQuS99IFl8wJ88cNj4Bz4xWMuICSIe2ZGePfVFbz/TWV0FSLYEIh8Aj/OCZWvOEdUsKQqlwS4adpU4BaaSIkiAerMmyj71gdy3qzaVNd1SoBv3zvCly7uf/LaN2D0nsdfKHhUwI2jypREUeDmQrKMiJM46F3NTg5wC7IuNdJkOztEyAX2Dln40h0F/OghF7d+ZBwXr/Tx4GMubvhKCeu3Wim4DXucLsFjOGueFxWNxmIAZovWG655ZNdPYj3RN9LBS+qBPF2Q19vCsxsQY2U6CUiC9nQSEEO6J+ZEJQU1SZ5KbNRZVEAyAEvAH/eBEOodQAAsHQjxTx+TkvzXjzm4eKWPWz8yjrmzQjR5EUQIRAFBxC1wYSGKZBvyKLJiaiIleRSlANdrwOhKNSAb/uZzNTTPumTUys19kkcHM/n1xwDwOX2dKOScwzU/uObatWc+dO+DT9l514prUcQtp5E+KiORvnxO4HOCmmCIQFMPViKOqORWlsBojeDZjRY+/uUibnpnGbd+J4/126w4/qGRGUOT5EY0VExPkNY30emJHg6bNQXqTmMFaPk9MST8VCyEZBam9G8I80DJcXUXvTYRDHe9Zvs2tldBWHU0RSSWkwQ4RLPSJOwyldqqCIkRxwLp8lffCEEgAoKl80J88UPjuLUpj5veWcbS+SFEGBsQOOK0OYYoYggVuCMLYSTXJVlGgqYVHSAnV5qGR+P/6yPfenEgEFzDnNbDLIkEOw6AF/MuntuwHecvH9jjiGDrzhc2Ljo8NA4OhlDVqdAuUBRL8pBLxS7gBA4nmABBwC25EeVx3p9CjEQPo8CsGRzdHRyzuzjWb4l1VCVi66GQAl0DOUFKSxrWE9SBbZ5CPf/OcvEMD5mSghAy9fc61nVXfHJkYUwS3eZteDcbbZPYwTNSW3vymk4fqn2XzftUtyoztQVJZmQYEew6SLHvMMWuAxSL58GgsgBN+DaPwR2EskOzlOhSgsvyFroET88ziij8kAC0HZ3Oyq3UWbJnfHgHSq39U17boxptbYvh/gcf3UEQvPfClYvgsgiuBbgMcC0B1xLwLAHPFsjZAjlLIG8L5K34xQQKTAbOJFWldNSGUhd9xaoavvKJMbxyTQ1//94JLJodAn4jY138WY9VTVh3agpkBFnZX+e8McCdWadz7wxuTfAbHD7detr8W0yxKrGLE9P5Jxp7KpNIQ6T6vhGgpYFGTpCUBiC7rF+1mDoA6fcJgBxgww6Gz/1rEQ8+7uJjXyrhgScc8Ni4BW1C6Z2ZwxjkfmCh5tuoBTZqvlz2fblef9VCC+NlAq/pdJQr/L1bNj2+Q/pAph7W0TZYOH8WxscnUCjk99m29cgTT2+8cP/hCVjMnBtJhBsXSZ5cYiKFjA0eFwSCaHM7EJjdHmDV8ho++/4xLJ4TAQGweF6Ia6+q4kt3MAyVmTRNJug0+XZWC0w4N0w6YngudUsK6gHbaAJkFU3AzOJRC+bDZnJRLzLv6YbmmsQwFU8gkRIE41gp99YVyowU16wpkqboiilJaQrRP6fnLz9T+RQGQJnA0AjF93/hYeNWC7AJNm238dF/bsLNHxjDmjNrmN0WgVfVBJJUJIxYDG4bYcgQRLEE54qiIHlCqJ/nEYdlt6Cta/Ej/fPX7PNrFbhe/qgAn5bbrVgs4BcPPLG5UGz62rJlS1GthaBEwFESPJbeni3gOQKeDeRsIGdJie4xDi+2QSe3xBdY0Bvg7z84ittuHMGi2SFEjYOHAi2FCO96fRmXr65JzZUnz8zMmZnyWbeepEDNVL5ttKx/VkAl6ogaRhX/JGggqzO91acYDbm5EtKinnroYG+Y6WPwcABcBV5l6IjSNoQJ4FTBVfulJ5UtY5HGHAGgBPf+3sW3785jpMwAi0A4FBt32PjIrc343Dea8MIeC7YjA/KEACIF8FgyV2OpXfUtVGvxy7dQ9RmqPkMQUEQRASE+ZvUvRKlY+NrB3b/bPB1wA9OQ4GoMzJuNttamJw8NTty9a8+B12/evA2OxWQwX6KmyZSiiEkpbkXSMiggSwRYERBAADWOge4a/uEDw7jmsjI8KstvSPQICB/oa4twxYU1PPQHFwdHrAZTUUdjCjU9WjAxBUIHsDDBrKDSQJHUwQ7tGDquMx8bAnc6IystdVQ1kvZmSQkFQt2KIhKF1FQmU/NhcjU060l6AJ3O6H8iZtU2cGCY4d6HPew5wqSfItaHhCVwcJDhuz9nqPnAze8fQ/+MELUAEIIiDC2NklixBI9roPCUKhEAjHHYLEDnjAXo6Fp0d+uMuU8GtdHpwnZ6EhwAFs3rxtDg0I6rr1j90Z6ulnvamvPwbCDvUuRcAs8FPIcg5xLkHPUC8o5A3gY8K+6a60eY11PGze8fxDWvqMKJGPyqVDykTZSCRwTgAq9dU8UFZ/maSSEr13QOjtTsl1hNNEoC1Elw3ZZdR0n0wwMN2YYBdmKe1vGOeqlNUh9a5groJjQdjAnt0Jd1K0u8L9d4t6nEEhPYuh1ao2wP/9HBTx/zoPqLpsWVbMCzUCUu7nqwCTf/WzO27wc8J4AQgB8yVH0L5aqNSs1CpWrJ95qFSo2hXGWoVOV7uUrBUQC12+9p7T7vo+Wx4R1Orm/a13PaEhwAFg704f5f/27nlZees44Ho6/dvm0rXMdKiiImnXnjYolORGBbkv9WQ4Eo4OjvGMVnrxvEGy8JQQMH1YgBCSBV8kQE+BydrRHecGkVj//Zwb4hlrqD66wqKRj1cmvqtihpjgbgbURV6sDdANANeXdG0TwRZCe0IdEv03BZZdOGJp2NfQRJWmoToe1vWEqINmt0G7hpdzZOLV5NGbD3MMPdD3o4PMhkSzpaH80JB6hGDu580AHA8NnrxtHkcfi+jfGyg0rNQhDQuLCPasOChIdLZspRbO5D28yV63ZtfWrn7IGVx3RZjwngADBvTjd6e3u+uG/P9nkOmXjL4OAw/Eg2/0nL+8Y2ci7gcSDnAMzi6OwaxdsuHcHrzmMIqkVUIwI9i17GQ4RJP0ZwjvPPqGFOR4R9RwxVygQTSaVLNpG1oeMmw8GNofPvBhIe2neo21XW6dDBMGnnNQ04IjNphfalsU3yKzwFrMa/U8qi76mUy4z9PGPjTvfQiZt55omsZwLbDzM8+mcHST/DJEYo7XkEQgGLoMYF7ny4COIM4s0XcdjCw+i4Cz+kiCLEpkFVqUsKyjAiqNQEvFwHnMLcH/TMPvOLhw/tPVa4HjvAB+bNwX333TfSN2vOeyaGt/T6fvmC8YkAnKYXKeF48Y2jhGD+bIGrzhfo6WjB8GiaGU+1vjpSo0wvLw85ZrREOHe5j2e2uajWSe/0hjQyB9ZLadFA2RR1k8A8sn7A+u8Nvt5o32MdidUktpQIbQJoTC1LWVKaQaQeo3HtegeQnjyh7We4+UndUwXxZajUCJ58xsGBIUsG/OjAVh2jKQMlFBYlstcoAX71Bw+btgZ4zbk5NBcsGUil/nbsQ1H/UXYspqhy67e9vf3veeThh8oXXXzZMV/OYwY4AKxduxbr1v2pfO6ay/1N2+8Gj3y4Lkukl7qwhACMEbgOQ1sJOHikCxYto5SvwnUCqEwhi4UQLH6sxY9dQgSiiCNfCnHmYh9Fi6NaxZRag5TeqdzRqYkOukmVyIxFJUtT6ryZk002kR7P/KZ+JDQkZgwGO9BNdNDArbyQBrK1YCyNwsivlQqqzxKd+hDt2UjqvtfPgFKBcZ/iTxscVMcoUNCkN7VjcFtgjCBPgTyTlrSCJdCUE+gu2Tg0CAQB4LrSwafyJdSklQ1dOfq6m7Dq/Cv9SNDjAjdwnAAHgO6eueCcP7HsjOVrnvnj73I2kylE0hSUAty2CDyXwHMEoohgvGKDEpF0B0sfkZrhjXLQOOAeIUFniaNYFDhc1dmmSaiNuBKSybPMgLehxaSB6K63tmg7TPYZwHGJb9F4v3qnT/qeSFvoTDxrF089m6nEJqYkB2DUXkEW3PrTTGB8guLwGE3zYXV6Qi1YjKBAgYLFE1NxwQGKnqwjXvUjTFRkmKxtyXvHY9xASIA3FW0sW3ZGZcH8uU+cSBLJcQO8va0JE+WJz7zqiotEWNn/8T27t3iObSHiQLVGEESySpEd91tlTII6CChqAQNlVlpyAmnhH0q0VniEgvsEl53jY/GCADsOO8mNSq+8vPRmErEupbXin0BmIugWXx30pB7USbhR3RcwNc1G4wTMKmhsD08M8sLk4akkVJRRoykqvkQpkkbgVdZ7mVpnzHMhWL/JxgNPunGskBafTxkoJcjFkttjslO6ZwOuLWTPHCIjNYKQgzGlOxEEIUfN5+CcQ3COmT2zqwNLzv9KJOy/89zp2bwbjRPIrwIK+QJfv+6Jm/t6O28d6O/yZ3XVMLMtkEb9OAuDaRNdAHFrC4owpLLxVcSk+5ZTRCJtvcEFhYCMTcjnBDyvURkKU8IkFhPUK5bZgprQlhvGn2SV00miCEnj0zmhIRqs0M19jbZJpbYOWs10qLvq9e0zPDx9MjTwq8X7VGsE5UqcrUF15VI203WpkLxbvZiAFSd4gKgSbCJ50tM4QvXgUIBdBwMUmzv9UlP7rQ899OjNnpefMlrwaOOEAA4ANq35+cLMWxbNL36uq2uUP711CNv2+nI2Cr3uoBw8KWwu3bNhpGV0aFFlIo4sE0IWjRFJY5as6UO3oIhUaqOB6U9trlMVtToD+szhk2UBDdhZmoNEF5zemGJDE2TE2Fxon3XToE4zEsmujqWHnupURXP2SEqjS/BJVGgjmD6lKYQQmTlFZEaUHWdGJdlQJL0+SbEhArg2MNAXYunCIUwIwWmu83N93Z23jE34/oni84QBvuqC16NnxvbKggWdd4+I5eLBpwjGyyHCKC3Dn4BMKG057bPOVdF2A9xa8FCiMGlaSAZSRiIxMW3hWaCnt0ukIM/yc2QmRlbCT8W5SSrtpzsMXq0peVneTbQd6ryOQN0LyEhhDeRp1zZt8ujfq6skAN2UWPd/E4mhaj/G6XVE68qnzwcNB4pl2RZQygOXLA/wX9+8RMyaN+vuLYeGK+942xtPFJ7Hz8H1EdD5KHQUXyg0dV//tteW/uem9U9Tqj/BlFAAtMei2esxDXTXvHB6fl72wmrcQlGTbPm11ARYL9GTIKzsYTOmE0MJbWw6qVMQySQK41RDj/du+BM6x85YVlIpnr7S7Hm1n+6ej7k4zCTkLJANoDc8a3VBpddBRXGqUiZ6/H1WT1GmwIgDYSgwPG5jUfOV/PzT5l6/v9r1QoGOnAgkk3HCEhwAFgysxoYNjn/5xed/c2ab84lZPZ2wqIBjpWagyW5oKmlSuWpIsSkHSa5xtg30ZIkNWSldZzHJSnrS8Ffr+HzdBicwslSk0bUQmvTWJX1y/eqORxLQG4FWevw3kAE7NKoyyfXXFuvqzGT1FP08hWyQFYQc5WoI223HSLnwid45F36zp+j4SxauOrGLGI8XBeAAsGTJQuzbfyB67dVXbbnssovGertb4NkR9KjaOj6c2G91fqiz6OzFVI/DxE8JIK49DZGEydZd5DqqUm9CrDOE6PdukpzLqcYxYzxD3k3aYq4zthPmU9HMuTQDMVOOrQFZXfeMYmrGsgAQ+rNOZE5ce5Jm9ZiM1E6WYrPgRNkHYQUsPWPN2Krz124ZGjwY9fTNO9arN+l40QAOALlcDkxU7zn7rOUfvPQVFw62tBRR8yNEuh5MYFCW7MgqVuospSlUN3nIZUIy1WIT6S3qLCd1YbGZ9UkWTiMers5okkdu3SDHAHJx9O8MiZu9Vo0mRp0ek4I/6cKmmQgVPUwtLsiYETUFVeXWZrQDSiY/f7UgyZEsoUGIQC5fwsrVFw6etnT5Bw8dHLvH9XLTvWrTGi8KB1ejtaUZAFApj95x2rJV1uiE+OKhRx7t9P0xFD1Vz0Pvg9n4ODrrI1RgrEJQrtHYg6ckeKxgwkxPM9LUkFazyoK7kXnQwK0+j5LPJHOO5v5T/JlJh3H/dQEpMusyIj4BnEpaQOq0Ebq3E5qUT8Db2JWvGlmpssuqQxulSprL3NqCK9CU5xiN9JNtPNJWI2mbbiEAywJ6u9tx7srzDp1z7upPhmF4x5z+3hcTjgBeZAmuRi7fhJHR4FtLTz/3poGBhYcYk65X21IFasyGVXUXSK0ngOUIPPaMjU1bbIhEfGqlkWMJLmPZtJ4vyPBx9bkRPdEwpD9ZG4G4bp0O+gZ5mFPhezJb9nS/N9bpJkEQGHEnyFCX+LMRLquXbDCkuvkkgCBYOC/Eect9wDfPSmROXn1W4A4jgTCSPXU4BxYvXnToogtW3+TZ/Fttrc0vPhBxkgAOAO3tzXjqD49+s621dONA/4zBUj6A54SwbdlHU1lXsuqQzr4JBAgT2H2EYWxUD8ckid2VkUxpZJq66fUW3JPWH0S9MmTyR/MkG3HL7Ipp28GnMbIZPMk6aMA2aqQQA8RmArGZ5ZNQHq5KSKTbpOBWPonYLwGKpmaO3o4oLaSpArca/H/1+yEH/BCo+gKjExGaWmcMMit/4/0PPPxNxyudLBiePIADwCsvvxKtxbHvzJo148N9fTPHcm4Vrh2CsbhFiTYMZY+ImFrIZ5useqrMMargZlxck5i1B41khwZgNmg8dJCTSUGvY7kOvJNYWY62tt4Fni5MJqmNh50CKDQlU59kmUlgRAuKNDy1XmJDAzbRJoAs/SAEBSJZnwSUG/ZJVSMH0M4L8neiSAJ8ZCLCzN5ZYx1dPR/esXf0O6961atOJgRPLsABoKkQ8Zbm/A/a2mdc1zVjVtWxamDUbI+nj0T9IQK2FeHQEYpfPuJhqMpkQT+t/rekJvVtuOvKIycgN9cZPLtOmzSXDc4+hcWl4efpjKOJfcPEpm9OTNGpCdVUuitKgjoakjjeEpDTNG1M91XEQI8iimYPuOKCKtrbQpmLGItpkbmfOgWMOMF4JcLcef3V3t7e67x86Qdln56QG34646QDfMGZfwObjUf50owfNrV0vb2lfXY1iqLERZ9GEuotBQEQ2f774CjFjn22JsWlJFe1B2XH4rgtIBV1yqYh2RtRE51+AHV0JfmifrHxOjLVlo1HI/OfLsbr40+I8Tn1PqbLgOzhkzUbmhIbidROW4DrwE5724vYyxxxCosQ9HcH6GoJ45OTxb4N3VjpRxSwmUDEQyxc0F/t6+1+++zeGT8cHPGjGz701pMNv5MPcACYs+QdoPxgNPu09h9x1v8OYS8oT5QpgpDEpXHN/pqqZSBlHHc96OH53XbchyfNFqFEi3UgaayDajyqK5gG0NEI5A0y4rX19XZdjeM0GOJo0tjYWD9u46+yy/rKbCZPCnSSfG+2MYFBT4xCOzwt7WCGUZAkXohzWfLhtD6Oay6tSFekiADItMVQs72TWD9yGMeqM+eUz1zc845K88ofbd87FP3dx9/yl4DeXwbgANCz8N344+OR2LVj3525Yu91+aZZI0EoK5bqDWVV6xLGOMoVYPdBG7VQZYrEIZlENiRyiNDaAopMB4dU6ayrB456k6FuHpyUrmRWHadl8JhGncNLM5nU2cO1ZZU+qCubJpD1EAmqhU2QJMiNJ9/FVal4/IoYHEbQ1xnAzcWFVQWXTWYFkf0xYzOkYwNLFswamT+397o9O7ffudh9WnzuhpMvudX4iwEcAFac9xa0dc1CvtD8vbauxR+ZOXv1kUKxCNeuwrZCLRtHwPEiPLbewiN/9ABhAcwGiAVCKCwqOwfaJO1cnG1NolOT1LqCBMANEyGQMRNmuMdUMVRHmRMnPnTpnHHKJJtoAVhGXRRotEVAoyJagi83Y4MiTsD1gjyqGixnCCIpbC5a4eOCJVXIXEIurSUCqITAcIWj2NyMK1+5+siKsxZ9pK29+XsLF8zB9e/7m78E1JLxojp6pjNWXfR2AECtMvQdENuqDOVvCYfu6qxVx8HhyH4yVIBHAtv22jgy7gDMkelQ1AKlBB6Jo9a0iLWkJ7oW5FUP9ox1hUoaApFaHyVsUIdYEoNsKofOSQG2dvyGy4BUJFXzL0hwEwgD3LJmjSzcz2PtnggSeyQpCLhGyWQ9cB53Y4si9XRlIJF8ygaBjda8j7m9PvCnCODyIUsJMOZH6GrL43VXX3Loujec96maH36nq7Pl5IOrwfiLSnB9uLlWOG54e/PMV95UmvmaQxE6Ua0ShCGFxYDt+yh++EARh0dysscFdUAphUdlYU+LijjWOFUwk04NOthJamHMtu4mGS6t1/xQQ0n36ZgHXwyEi6OuABoqn3pMinpXJkFODGUyWcez1hNqKJtJCLOS4FFaW7BWc9DVTPHGyyqY3+MDEYFLBDweYO6MEj70tksOvesN590UCHH7qQI3cAokuD4IaUEYjn2TFq8KvY72L4/vfqCVhTsRReP4zTMOHttQAlwPYA4sSuEywCMCTgMFM2kTaEh0JNGM0600m5wbTK+k9KweBcGxa93wsB/1Ikz5cdLfSD42Oi2BuLSfnotJkmITiCV5EiMk9F9XLQXj7+NHF1EFD8J0YpUrHlYtquKC5WVsfiBCySY4a14nrn3DRUNXXLryBgH2vzpaXtzYkmMdpxTgAGBZJfhBcEepY83g2PD+gZZS3627995t3/VQE8YmmkELLhxK4VDI+oZKcsfmQUuX3gm4RbLciJpQ3WSixHMDHg5AAxSZmmcnoELKZ6YJ86NtLrTvdceOAraKPSFCpBMssUkTgEgLB4UyH0qQ13tlFbAVXYlbgIMiIhrdUYXqOUVLieD1F5Tx66fKuPKSC4LeduvG111+9pZS0fmZZTs41eOUAxwAHNvm40PP3zPv9Dc6gweeLD97kH5j08FNpFAg1HEIHCJMd7yyeVPT9p2lKkRTLglU+IpWFVZXNONzOV7mYeBT+5AumghuVHDoaMfXPwjSeBvZgUHEcTsiKWEhPYqpx1YkE11ODgYBEJlIqwBNiFolgNjiIjhBRChoxBBQG2FkY9lcyr/yqVWCuAs+dNqi5d9+futu//wVC082bKY1XhIAB4Bi62n47R+e9ZtLfXdMCDx0yQr3Tdt3HvzHjVv2wrNYnQLIiCmd63g4zUpu0wpiSK+prCMNTN7TYSrGh0m2r3siHAOHJ4ipwiRAj4MJ43or6dNHCGGAXAgCQtUZ0/jYUoJzEktwnjqOiFbanpAAUX4AXmnGP1wyZ86d1G3ZJfjz/sL+c44dACdpvGQADgAXnHMGAFRu+foPN73uFafd8runC053e+EzG17YwcplHyA0MX0pXCbOnRjcevs/mgF2cpNhfp4UhEfjunVDIoqQqQ87yU8cdWhsSVtHQBpqouY+Qqcs8eaESIuVinFRpkdKCDhNnUh6PDgXsuwDqItSy5zIK8z4PNwFt0yM7I76Fp52nHf+5I2jl8g/BeNXP/8PnLHy1eKzf/uWh3754++6FsXKI0eGrWrNhx9IpCnprLK2bSZjjC21HPelVEBXj+M6iZy1hyfUhphd2ChJ1pvbkuRdHl8CRC2rVzrZSJ1OQHRFmJrr6sMLyCTe2Mbbq/8sebwZBqvHoCgpL88vNcGqPpyESOkfRQ6o1YG2mRfWegau+ae27gv//oYPXS56F7ztVMOm4TipptsTHYNDowjDCJSS//GndVvX3Hb7T+mewdqa3fsGrbzL4FlEtlGxBdy4wJBtpc1Z45BxALEnj6fRboApybOWFh3gkseTGHwkY40h5j6UJNtml1UjWKopxLrlJ3FIUWGej6ZnkPhpldj5tffUqZUWO9JvtQq4Uk4e9eeVTmMxDtvmcGwO1w7h2hEcW5bWY9QHczrDStDyeM+8/8JLrQOPA+ImQhgcr+lUQ2XS8ZKiKNnR1ppcuJv++233YOV555aGRsb/9c/P73jzjp37aLVagc2k5s+YLBMnpbcEuar4pcANiLjrlxkvoqwfSaCQdg5HpyXaSA4wtb1wUvpPGi42/B2terIRGpPWQjczpvR0tSh+idgMSIksqcZjzZVRAWGpyr8BbMdFvjib55sG7mJ26X2CbxhzcytO8t1/ccZLWoJnx5PPbkOx4HVs2LL3oz974I+nHzg0/Ppnn9uMmc0UbUUGzwUci6QAj/9dxGXz0CAUCOM4fcE1CW5IR8Xpiebil5OFksYSPNlfl9gkldaUNGjlrXlcTQkuTKpCUsmcSnURn48yh5p0woieRGxB4WlVsSAkSaCbgBb1Zwk4NkfeC1HKV9FUGENL+wBst/Xu5s4169zCrK9GYeWwV3ppWEimM/6qAK7Gsxt2oqOlMOdXv3/hK089s/H1W9avA4JRFPM2XIeCMQKLSbAJIdOkaoFAzefwA5ldwpPKMzEYSZYyEA10xLDGJDEtiMEfc2a1LJ8eJD6W3r/e7FVPSfqeKsZCm0yZIqLaumQyUNNkmoI8rQkDSMkdRBR+QGVZYp8gDGOFnQI2FVKHYSFcO0BPl4P5CwfQ3LHobqe4/GM8HN3hFeee6lt/zOOvEuAAsGn3Edi2Pf/59VvOIH75o1u3bLpo48ZNmBgfg+fZcG0Kxig4F/ADjolqhPFyhHJNIAhT6Z1GHabcWL6IJlmJJlEbZN5rSqSxPVWKrgS2xdQ7jN9K42e02BmaSu96pTINQ2BMJMBOlxX4RbK/EARBRDBRsTA6wTBeoagFUrJbDHAsAUZCFEpFzJ07Hwvmz3u4udn6alP7vGcRhZuJ3X2qb/lxjZc0B59qLOxrB4DNQojNANb92g67l5+x+F82bNg4f/3651nBE3Ad2R6jWuMIuEB1hGOiGnv1YhAlpVjiSCplEjbAm+SPEsO0qDgwIbFjBSINbBIETABpI1Yk5k0AdVK5LpwAMPJT1f7q7LgQqflPpMdUE0WlBVJNojtxXchDQxbGJgQqNY4g4LAtgvZWB4uWnhHNmrNgcxQG7581cN4+AJuOtQzdS2381QJcjfgGbBoaGtoURdEVruP2rl614q7N6x9timo7C/sP1jA6YcPzCJ7fG+LACEPJkQUfLSYSSiIgM4T0anFmgFZKaBO9Lga5StqgVMV7xK5ykQJeh6pSLk1gm0kaRnZTPBJWJeLJRoUs8QC5UllYpCTnCV2xGIfrhMh5PkIB7DnUCt+3MTwegBMPyxbPnnj1lRePUhJd0zmjbw9ldMdfO7DV+KsHuBqtra3gXOxob2/fNTpaXtrREqx27bP/7bn128N1z+1sW9Czo7RjcBjPbG8Gz1toix/xqrMCjSWxRZUNGxp3Tn+nLidSs8bIeA8BDnlQopVIM22SWS9rhpqgHtz6b0DIuBPVIlCdn1Q6OWzGE35OiAR4zq2htTSC36yz8cTGDqxd1TG27KyBwZ6+ASvv0ff29/f/zssVRgDwlwu4gVMYLntS/gwlIITwgnt4qKtrxr35fHHhE7/9wcCrr37j5xeddvZzfT0znulub63mCnkIyOaktQCo+AR+SBBGypyo5xNK7mxZJHHyAIDgInmlhW3UsoiTCERSC1todkldehscXCmQdXZxuZ/sgkAQRJCWkKQ7mfr/sha3Y3NZooOFCEMZPOW6LpjTUi029Tyzes3K597y5jd9/pvfvWegublp4czunnu37RkdIoS8rMCtrvXLehw8sBMgNglH7sd3H/IYs1q+UStXFh7Yve2CyvgBtmHXBPYdEXBIgKY8RXOeouAR5DyCnEPh2BSUSkkZRlJhDUPZ6FbFfBASFxqixFA6GSWQRY8obIvCtmXLDseWTimLxTSJmTRFd+6Q+AkTRQRBCPiBBLaA9Nq6NkfOFSjkOIr5AIVcDTmnhmJB4PCojf2DXZg3uzOa0z/zt47jbhocGb3+9p8VouuvPQ81PxRz58451bfopI6XDUWZbHTNmA2kBCE8cGj4fZbltE6MDX5h3Z/ud7wnNkVsS9PZJRcrjhw6hPHyGBzGUMrbsG0Cz6WwbQYhBMpVjlogkgpNqRdQ9qUEFzJslQgt2i92fWuNudTTwWICjKXmwdQyIzQTYhxBQmRrPT8kqFSlNLcsOdEIBRwrAFBDIWehubUTxbz/1J93+X8cjxayuUsv99s7Wj8d+v5QS08LAOAf//ZU35m/zHjZS/CjjW/9x0MgBBeVq8HayvjYNVFQXmShin27t0nHhxXAc2SV3CMjArsPRqhURdK9wmayD5HqN6OZ1xPToJTaFDmXwfMoci7gOQK2FYOcap7UeCoyJuDYIubTkjqVqxRbdgvsO+yDEqC56KCjLY9S0cLSxXPQ0WahqcnemM/l7iLUvU9APNzee+WpvsSndPx/D3A19h8cBIArgjAcGBke5Pf8+Md85sz2uf2z2j5VHtuFUp5geGQ97vhJGQcHPUzUBJrzDM0FirwngcwFJI+PrRyKP9sWQc6lKOQsFPMMpTyQc7m0PTPJnQG5bxDIRGCbCRRyEZoKPly7ivGKg0PDNfxmXQk9nf2wWYQli+Yg8kdvqZaHt1316tfStrYWypi1BcC9bq7tVF/Sl8R42VOU6Y6ZXW0AcK/6PDZyGJbltIwM73v8wF6guYBg/qL2j/Nc4fKRcQeHx0I89tgfYItxNDdZcGyKWsBxZKiKsQk/5tGSm1sMCHIMjAoUcxyOxeE5HDZLvY0WAyLLBRc5+L5MQHBdH52defT2L8fYRB59tRC81b+/Msa+nHcje+nS0zF7VvfD1ao/3NPddaov4Uty/CfAJxml5g4AGAbwEwAYH90OArHh7OVsRhBSfmQswLp1GxFWash5NmybIggqwerVK28eHB5/DXgQqAckIYDnELSULHS0MLQ1Rci5PAlj5Vwgn2O27ZR++ujvnr8ZcGxQAco4vFwRbTPOQK6WR4cQtG0mDhBgW/+s2af6Ev1VjP+kKC/iuPvnj4AQMmPX7v3NIvITv6WAdCw1Fy20NTO0liJ4Dk84N+cChbxFmppnjgiIA91zLjzVf+VlM/4f5hJrNiV0dOoAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTk6MzQ6MDErMDA6MDBvBAPIAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE5OjM0OjAxKzAwOjAwHlm7dAAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 52397713
{'hecke_orbit_code': 40532396679890234, 'n': 1, 'trace_an': 7}
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id: 52397714
{'hecke_orbit_code': 40532396679890234, 'n': 2, 'trace_an': 7}
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id: 52397715
{'hecke_orbit_code': 40532396679890234, 'n': 3, 'trace_an': -7}
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id: 52397716
{'hecke_orbit_code': 40532396679890234, 'n': 4, 'trace_an': 7}
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id: 52397717
{'hecke_orbit_code': 40532396679890234, 'n': 5, 'trace_an': 6}
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id: 52397718
{'hecke_orbit_code': 40532396679890234, 'n': 6, 'trace_an': -7}
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id: 52397719
{'hecke_orbit_code': 40532396679890234, 'n': 7, 'trace_an': 3}
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id: 52397720
{'hecke_orbit_code': 40532396679890234, 'n': 8, 'trace_an': 7}
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id: 52397721
{'hecke_orbit_code': 40532396679890234, 'n': 9, 'trace_an': 7}
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id: 52397722
{'hecke_orbit_code': 40532396679890234, 'n': 10, 'trace_an': 6}
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id: 52397723
{'hecke_orbit_code': 40532396679890234, 'n': 11, 'trace_an': -1}
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id: 52397724
{'hecke_orbit_code': 40532396679890234, 'n': 12, 'trace_an': -7}
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id: 52397725
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