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mf_newforms • Show schema
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mf_hecke_cc • Show schema
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'dual_conrey_index': 287, 'dual_embedding_index': 1, 'dual_embedding_m': 5, 'embedding_index': 1, 'embedding_m': 4, 'embedding_root_imag': -0.30901699437494745, 'embedding_root_real': -0.9510565162951535, 'hecke_orbit': 1, 'hecke_orbit_code': 2336495763856, 'label': '400.2.bi.a.223.1', 'level': 400, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1600, 'analytic_conductor': 3.1940160808512155, 'char_conductor': 100, 'char_degree': 8, 'char_is_real': False, 'char_orbit_index': 35, 'char_orbit_label': 'bi', 'char_order': 20, 'char_parity': 1, 'char_values': [400, 20, [351, 101, 177], [10, 20, 17]], 'conrey_index': 47, 'cusp_dim': 432, 'dim': 120, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 2336495763856, 'hecke_orbit_dims': [8, 16, 16, 80], 'label': '400.2.bi', 'level': 400, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 528, 'mf_new_dim': 120, 'num_forms': 4, 'prim_orbit_index': 12, 'relative_dim': 15, 'sturm_bound': 120, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, -24, 0, 0, 0, 30, 0, 0, 0, -144, 0, 0, 0, -30, 0, 0, 0, -216, 0, 0, 0, -102, 0, 0, 0, 60, 0, 0, 0, -144, 0, 0, 0, -240, 0, 0, 0, -96, 0, 0, 0, -192, 0, 0, 0, 30, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 192, 0, 0, 0, -60, 0, 0, 0, 210, 0, 0, 0, 480, 0, 0, 0, 246, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, 246, 0, 0, 0, 240, 0, 0, 0, 408, 0, 0, 0, 264, 0, 0, 0, -60, 0, 0, 0, 264, 0, 0, 0, 30, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -66, 0, 0, 0, 0, 0, 0, 0, -114, 0, 0, 0, -120, 0, 0, 0, -336, 0, 0, 0, -42, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, -480, 0, 0, 0, -66, 0, 0, 0, -600, 0, 0, 0, 0, 0, 0, 0, -528, 0, 0, 0, 0, 0, 0, 0, -402, 0, 0, 0, -234, 0, 0, 0, 0, 0, 0, 0, 66, 0, 0, 0, -360, 0, 0, 0, -90, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -54, 0, 0, 0, 24, 0, 0, 0, -30, 0, 0, 0, 6, 0, 0, 0, 150, 0, 0, 0, 186, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 240, 0, 0, 0, 192, 0, 0, 0, 354, 0, 0, 0, -60, 0, 0, 0, 432, 0, 0, 0, 120, 0, 0, 0, 288, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 240, 0, 0, 0, 168, 0, 0, 0, 168, 0, 0, 0, -30, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -48, 0, 0, 0, -90, 0, 0, 0, -192, 0, 0, 0, -360, 0, 0, 0, -144, 0, 0, 0, -606, 0, 0, 0, -90, 0, 0, 0, -342, 0, 0, 0, -360, 0, 0, 0, -366, 0, 0, 0, -72, 0, 0, 0, -480, 0, 0, 0, -48, 0, 0, 0, -390, 0, 0, 0, -360, 0, 0, 0, -384, 0, 0, 0, -90, 0, 0, 0, -792, 0, 0, 0, -120, 0, 0, 0, -288, 0, 0, 0, -72, 0, 0, 0, -90, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 498, 0, 0, 0, 600, 0, 0, 0, 672, 0, 0, 0, 558, 0, 0, 0, -120, 0, 0, 0, 798, 0, 0, 0, 480, 0, 0, 0, 858, 0, 0, 0, 744, 0, 0, 0, -240, 0, 0, 0, 792, 0, 0, 0, 960, 0, 0, 0, 534, 0, 0, 0, 798, 0, 0, 0, -120, 0, 0, 0, 522, 0, 0, 0, 840, 0, 0, 0, 672, 0, 0, 0, 546, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, -366, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, -750, 0, 0, 0, -270, 0, 0, 0, 240, 0, 0, 0, -6, 0, 0, 0, -600, 0, 0, 0, -528, 0, 0, 0, -648, 0, 0, 0, 0, 0, 0, 0, -744, 0, 0, 0, -600, 0, 0, 0, -576, 0, 0, 0, -192, 0, 0, 0, 240, 0, 0, 0, -456, 0, 0, 0, -720, 0, 0, 0, -54, 0, 0, 0, -408, 0, 0, 0, 0, 0, 0, 0, -390, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -186, 0, 0, 0, -60, 0, 0, 0, 54, 0, 0, 0, 240, 0, 0, 0, 6, 0, 0, 0, 600, 0, 0, 0, 0, 0, 0, 0, 294, 0, 0, 0, 0, 0, 0, 0, 126, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 270, 0, 0, 0, 24, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 456, 0, 0, 0, 0, 0, 0, 0, 174, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, -504, 0, 0, 0, -480, 0, 0, 0, 120, 0, 0, 0, -240, 0, 0, 0, -960, 0, 0, 0, -234, 0, 0, 0, -1050, 0, 0, 0, 0, 0, 0, 0, -1248, 0, 0, 0, -480, 0, 0, 0, -1008, 0, 0, 0, -264, 0, 0, 0, 300, 0, 0, 0, -144, 0, 0, 0, -960, 0, 0, 0, -312, 0, 0, 0, -1128, 0, 0, 0, 0, 0, 0, 0, -810, 0, 0, 0, -120, 0, 0, 0, -840, 0, 0, 0, -48, 0, 0, 0, 210, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 456, 0, 0, 0, 390, 0, 0, 0, 432, 0, 0, 0, 720, 0, 0, 0, 768, 0, 0, 0, 522, 0, 0, 0, 450, 0, 0, 0, 1122, 0, 0, 0, 720, 0, 0, 0, 888, 0, 0, 0, 750, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 24453389
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 223, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2336495763856, 'source_is_minimal': True, 'source_label': '400.2.bi.a.223.1', 'source_level': 400, 'target_conrey_index': 223, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2336495763856, 'target_is_minimal': True, 'target_label': '400.2.bi.a.223.1', 'target_level': 400, 'twist_class_label': '400.2.bi.a.223.1', 'twist_class_level': 400, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 24453390
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 223, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2336495763856, 'source_is_minimal': True, 'source_label': '400.2.bi.a.223.1', 'source_level': 400, 'target_conrey_index': 223, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2336495763856, 'target_is_minimal': True, 'target_label': '400.2.bi.a.223.1', 'target_level': 400, 'twist_class_label': '400.2.bi.a.223.1', 'twist_class_level': 400, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 24453391
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 223, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2336495763856, 'source_is_minimal': True, 'source_label': '400.2.bi.a.223.1', 'source_level': 400, 'target_conrey_index': 287, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2336495763856, 'target_is_minimal': True, 'target_label': '400.2.bi.a.287.1', 'target_level': 400, 'twist_class_label': '400.2.bi.a.223.1', 'twist_class_level': 400, 'twisting_char_label': '25.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 24453392
{'conductor': 100, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 223, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2336495763856, 'source_is_minimal': True, 'source_label': '400.2.bi.a.223.1', 'source_level': 400, 'target_conrey_index': 287, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2336495763856, 'target_is_minimal': True, 'target_label': '400.2.bi.a.287.1', 'target_level': 400, 'twist_class_label': '400.2.bi.a.223.1', 'twist_class_level': 400, 'twisting_char_label': '100.87', 'twisting_conrey_index': 87, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 834050
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 2336495763856, 'p': 2}
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id: 834051
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 2336495763856, 'p': 3}
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id: 834052
{'charpoly_factorization': [[[625, 500, 275, 120, 41, 24, 11, 4, 1], 1]], 'hecke_orbit_code': 2336495763856, 'p': 5}
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id: 834053
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 2336495763856, 'p': 7}
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id: 834054
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 2336495763856, 'p': 11}
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id: 834055
{'charpoly_factorization': [[[9025, -22800, 17425, -4550, 1660, -260, 50, -10, 1], 1]], 'hecke_orbit_code': 2336495763856, 'p': 13}
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id: 834056
{'charpoly_factorization': [[[93025, -54900, 35325, -19550, 5660, -680, 50, -10, 1], 1]], 'hecke_orbit_code': 2336495763856, 'p': 17}
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id: 834057
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 2336495763856, 'p': 19}
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id: 834058
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 2336495763856, 'p': 23}
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id: 834059
{'charpoly_factorization': [[[4583881, -3104450, 508189, 23200, 6346, -1450, -16, 0, 1], 1]], 'hecke_orbit_code': 2336495763856, 'p': 29}
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id: 834060
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 2336495763856, 'p': 31}
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id: 834061
{'charpoly_factorization': [[[9025, 24700, 924550, -419050, 94360, -12910, 1075, -50, 1], 1]], 'hecke_orbit_code': 2336495763856, 'p': 37}
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id: 834062
{'charpoly_factorization': [[[383161, 381304, 1066257, -49328, -2070, 408, 192, 16, 1], 1]], 'hecke_orbit_code': 2336495763856, 'p': 41}
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id: 834063
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 2336495763856, 'p': 43}
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id: 834064
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 2336495763856, 'p': 47}
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id: 834065
{'charpoly_factorization': [[[10857025, 14563900, 6462950, 1115750, 122360, 10130, 675, 30, 1], 1]], 'hecke_orbit_code': 2336495763856, 'p': 53}
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id: 834066
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 2336495763856, 'p': 59}
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id: 834067
{'charpoly_factorization': [[[20967241, -934116, 1017277, 139272, 9130, -3252, 432, -24, 1], 1]], 'hecke_orbit_code': 2336495763856, 'p': 61}
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id: 834068
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 2336495763856, 'p': 67}
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id: 834069
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 2336495763856, 'p': 71}
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id: 834070
{'charpoly_factorization': [[[118701025, -58179300, 8937925, 25550, 20860, 5840, 50, 10, 1], 1]], 'hecke_orbit_code': 2336495763856, 'p': 73}
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id: 834071
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 2336495763856, 'p': 79}
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id: 834072
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 2336495763856, 'p': 83}
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id: 834073
{'charpoly_factorization': [[[77070841, 34238100, 4860424, 365250, 91826, 15000, 1189, 50, 1], 1]], 'hecke_orbit_code': 2336495763856, 'p': 89}
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id: 834074
{'charpoly_factorization': [[[639837025, 110792100, 21729325, -664450, -111140, -3880, 50, 10, 1], 1]], 'hecke_orbit_code': 2336495763856, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 35, 'hecke_orbit': 1, 'label': '400.2.bi.a', 'level': 400, 'portrait': 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K8MsRbEacBSRzIY+QSeQBjN3JRmw2TKciekMxAME5+VvmDzpGaprTl1UVHzAzbPwPa5iE2zQzbOjtg8O2L7JsPOzYord/jUVZPjpyb46pMBDx9KePxkTKq6fNvL2rz1JYa6muXQySmOn/M4O59yIQP3kUXDjVcv8Mvfv8KODZOcm59ifqXGUttnuS1Z6aZ0eym9oeDQiUUOnW5f+dih+ZcfP31h94mz85+/+TXfGd1964efa0h8Xbd/0Ay+vNImigxK8c6vPHL0Jb/4u38r3/6SIy/5N2895y2sbGK5PcFSu8FSO2Cp7bHUhuV2ynI7Zmk15cIqHF0SzG1Y5Vd/cImbLm9w+uIM5+abnFv0uLhkuLCYcGYhZb6bMDUz5KXX9njRPghknVCFXFyucX7R48KyoD+CJNHUAk2zljI9maCBkxcSOj3YtcmnWR9hjAAR0Btodm4esbTqgbFSZLUHowQMhuV2xLaNPt2BQiiD0CMmaj47twxZ7QtOnvNItcfshKRVE4Q+JImgP5JcWJacXzJcXEkIwyH4CTdf1eMlVwvmJuosrUxw+mLIuUW4uJhwcTnh7DIcXTK84KpFfu0HV9g8NcGpCzNcWKqzsBKw2JYsr6asdGJWOinLXc1iV3K6A6vLHX7n34yS73td7R5/9ie037jqHoH+RYNPWJt4rqHyjLd/sAz+nvf9LS+9+fn87M/+7K//zd996d+852++eOlTJ9u7j5zry5de0+eSrSmp9jBGYYxlb4wEJCAQwuAJQyDh3FKd+49Irt27zL4dQxo18D1J4CuCwKNZlzR8Sb/nc/BEjdsfDjg5P6KTxBw8PWLT7DJveukK117a5QX72pxYTFjsCxrhkGPnDO1Ok2sukawOU/afULQaHk+dhMu2GoZRyjAN8LyY6RYcOB2ivBRfJng+DEaSm/b1GfQl116a0hmknDzXYs9mRbMRsToybJzqs9Lr8MEvwaPHUx4/PmTX1iWuu6LD9EzEG2/u8p2vMOzd3CKNpzh+dpKjZ3xOX9CcmY85M59ydF5wajXmeZcv8Ks/2GXT1BSnL8xwcanBwmrAUluy0k5pd2NWeykrPcNyT3Cxr1jpJNy4b5GfevOCrHnsvnju9J7BIHlhfWJPvd6Y/sJj93+M//Huv3muIbPu7R8kg//NBz/CjdfuULd+5dB/OH7ywi89+uRJdWE5YmGoON83XLvrIr/zkwtcv7fBxaVpltoNlts1lts+yx2PlS6stFNWOgnL3YTFNpxeEXj1IS++epnvekXEno1NVnsTzC/XWVgOWGwLlttWIqx0NZ2BpjMy9IcJsxMxOzdpQBD6hjPzPkKG7Nqo2LPVsHVjn4srIx473OL5lxka9RWePDJDqxkRRT6z05rBEK7cOeT9X5riih0Jo5Fhw6QkTge0aiFPnRhS95tcf3nC48ciLi4FbJsN2bMFdm6OUCrmzCIEvkEIw65NCdMtSXcQ0uv7dPo+yx3F8iostTXL7ZTFdsqFNiwNU3Zu6/Fdtyzy4n0eNX+C84sTLK7UWFz1WO4IVtqa1W7MSjdltWdY6sGFruLiasJNV1zgXT+5xGXbmiy1J1hp1+iNJvHre9OgsfnXF0eX/dqEdyZ9xav+yXMNnTW3f1AAP3ToELVarX7u3Jmdjzz21DuOHT/3nw4cPs0wlvSGsDqwjHKum/CCSy7w2z+5zHWX1JlfmWZptcFKp8Zyx2el47HSgXZXs9pNWOkmLHcMF9uCcz0DosdbX9bmjTdpLtlSI4oarLRrrPYC2l3FSk/Q7QuGI0OUGNIUlDSEPtRDw9SEYeNMjOcPOXo+4okjITpp8voXRnj+Kg/tn2T3Fvjs/QkvuyZkvj2g5imSNGZmGpLYx/MTlpYavPSGDp+9t8WeLfDg4RE+DV53kyYRA544mnL8TA1PBmya9phuCuqhIAgESkCiIYoNwwi6fcNqT9Pta1b7mqWeYZCm7Nre540vavPWl0SgWyytTjK/XLd6u+Ox0obVbkq7l7CagXu5D+c7ioVOygsuv8i7fnKeq3bVWViZYrXboN0L6fY9VjsCv76dsLn532/dse9DO7ZvPzUcDgeXXXb5cw2l4vYPBuAnjh1hbm4uOHzkyA8fPnL4Dx5++DGxuNyVg5GmN9B0h4buAFYHkvmB5Hw35qZL5/mtH1vihktrLK5OsbTaZKUTstoNWOl6rHYF7a6h3UtZ7Sa0e5qVnmG+Kzjf1kxP9fmWF3S5eV/Crk2KibpPp1sj9CWgiBKJ1gJtoD8EhGa6NeTwWYM2Ebc92GTUr3PptoAXX9sn1qvc+fAU11/mc/hCj/bKBC+6ts8XHgrZNGPYf9LwL97SYf+JkE0zktsfVrz4SsVyv8Ox0zNcf3nEnU8MSEYNbr4qYO+OIYOkx60PKUgFR894TDQ8PAH9gUQbQaoNcQJIjRdo2j1DsxWzY8uIl1zZ51uenzDbrHFxeZKl1TorHXtsVjqCdg/a3YR2L6HdS2n3Dct9yYWuYLGb8MIrFvj1H1vguj01FlYnWe026PRCOn2fbt+j21d0+oJY1/Sll11r9lyy96cu2Xvpny0uLkRXXP4PA+T/IACeJLGMosGbHvzq5y7tdJJ33f/AQ/4ohlEE/WFCf5jSG2p6Q0N3IGgPBPMDybl2ws1XzvPOH1vg+XsDVjuTLKy0aPdqrHYDVnse7a6i3Yduz9DpJ3R6Kb2Bpt03LPQECz2I0xHXXTZg80xKr294w4tG7N6sSVKJJw1RDHc8VuPUfI0t0wlPHq2BbrBvu+KGKzRhrc9Dh/ssLDa5eneTiakV7n3c58bLaiz1V1lZmWDzZsP9+xXf96oeD+z32L7RZ7HXZmV5hhuu7HPvkykz9SmuvrTHfLvN/U9PUfeavOAKw+U7hyB7PHZcsHEm5uJCzJ2P+QxjhZSQasPuLRHf8qKIbk+xdVpzw2UQRQ2W2w2W2yGrPZ9OX9HuSTo96PRTOr2Ubj+l09es9g3LA8nZjqA9GPHiyxf4tR9d4QWX2Yuj3a3T6Yd0+z7dgQV3byjpDgS9fspgmPC8G26MU61+7u3f8aYjzUb9U37g6+caW895JnM06hPHgx88e+LB31m8cGjm/IUVWk2JGtlA0RiFKb7bWoBCGKQ0SOnxwKFN/OJ7PN7y4mW++1XL7NkWcWFpgjCoUw8DGqFPs+7RrUtaA5/JpmcvmEHKppFmMDJ0hyHLCzXOnDZEiebshYQwNIAgUAZPCvoDhcAn6Xs8b7dg71bDzm19RmmXzz2gOHBkmtc+P+SGK1d43+cMgWiwe1ufx+9VbJtSbJjoU1N1othnvgvNmsf2TYJHD0TccHmdV1y/yJ9/ekDgt3jNCw1+2OeL90d89r4mTx+vc8nWBru3pMxNR+zZEHPN7hSlNJ4ygKERhsxNhUSxT7cf8ORh35YoDCwQewPoDQ29vv3bu4OU3sDQGRhWB7DQV1xcMTQm2/z06xf4Jy8ecd0lTc4vTtDu1egW4Fb08p85FAxGlgCiBO76yv1+ozXzOxvmNi2/8hUv/L873f6fT7Qazym+nlOAx6MeCH707Ml733ls/xdnRv0e9TDAIBEI7AKjQNhnQoAUtpNGSYOSKYGUPH54jkcONTl8bp63vKTHS64aMtWaYLndoNmpMTEI6PU9e3KGksHQoz/yGI4Mw0gTxYY4NiSpvUdJgNEglcD3BLVAMNUSTLdg8wbN9k19Nky3+fxDcNcjPlJP8trn+zxvX5e7n46JhhO8+HmC9mDA/FKTmy/XbJjqU/dCholioROjtOB5l3s0WiMePljj5TdM8qLrujx8UIGZ5PlXBfzIty3zhUcjbn+gyf5TNXbOKTbP1JluNZhsQT0E3zMoCdrA/uOCNBXEiSBKYBRj/8ZRymCkGY40/aGmP9L0BtAZwUJPMt+FkR7y6uuXedNL2nzvazRJMsGFxSadXo3uIKA38OkNFN2Boj8U9DNwD4eawSgtfvaFxfO8/0OfmxmO0v/nn3zrK7xur/+eVvO5A/lzBvBotISQ6Y9cPHXXOy+cuH0jukezHiBlChm0ERboQiiEEEhJBm5QyuApg680dV+w2K/zgS9t54uPdHjZNat8/6tXuWZPj9mpBkurDbqDkP7Az4Ct7D0SjGJJnAiSxC71JlsulDR4HtQCaNQ1M62YbRv7JPQ4fDbmg3fWOHa6yVRY58arPG6+tsP9h9rc9tUJXnhZjZ1b+rz/SwIlQiZaMau9EdqAEjA30afTDdBJnTe9bJ4PfLbB3os13vjCPlG8xJ1PzBKnNW66aiNvvLHDZTvafPHhPo+fbvDY8YDtM5KZCUEjFAS+vQilACEM2oDWhjjJLtbYMIrthTyMYBBBdyhYGQmWuyC8Iddfscr3f8sqL7sqZXaizkqnQbtbp9sP6Q19eoNyJeiPJIMh9LMLZzhMGUSa4cgwiiE1HufnO7zvQ7dvHMa88y3f+lJzfn75T7dsnPnfA+Cm88u0V64iWfnwDw0Ho3d1Lh7Y4NGhUQsRIs2+SyAyAhdCIoRACImSHlKmKCWy5VnjK0PoGeqeYGWoWGpP8+E7mtz3ZI8XX7fK979mlev3tplN6yRJSH9YozfwGYw8olgRJ5IklaRaoI2wWVBhCANNo5YQBhGBP+Ls0ohPPyg5cibg+JlplA7ZuyXgyj2K5+/roMIFnjjaYttUg6svgc1zKyx3JrhmmyTRhs8/EDLqS6aaCa+7acin7ow5daHFFZf6nF8d8tQxnx2bprluzwJ3P97l3qcEoyhg354Z9u0I2be9y9Hzyxw5Cw8caHD4WJOGJwg9STM01HyQ0hKDMfZiTVIrHaJU0BsJOkNBJ4ZIJ2gz5AWXdfj+b+nwsmtStsyEDIeTLLVrdHshvWFAf+DRGyr6Q8VgJBgMJYOR7RsdjlLr8Y8suAeRZhhZRyfWipPnOvzhX39541cPzr+r0awnv/yHn3/fgaf288Hf+5f/eAH+s7/x+9D6bZLVH/jeMDn+e7o3PxWqBrpRQ41kIUGEIGNtLFtLgVICT6nsUeOpFN8TBJ4m8A2hb2gEKVM1QXfks9KZ5iN3TfClx4Zsmu7zjlva7NsxZDjocfUew47NilHsk6Zlml9gkFLjeyknLxqOXxCsDjSfuLvB2cVpTOQzXVNsnfXYtdnjkm1w9d4OWi7y7k81WV6e5IX7PK7e2+aLjwlE4rNxWtJsJPTjAGkkGInyAtpDwcVlwVWmwS3P73LPw3W2bgh44dUz/LNvW+TPPtvlgYNNekOfpdUWe7bWuWJLn5su7/IdL+9ybnmZT9wdstQPOXne5+zZAF8JpLSrnjaGVEOsDWmimZ6NufaqPqNRzL4dI952y4iNk4qZVkgc1zi/UKM/COiP7Co3KIAtLbhHguEIuxKMUoaRZhSlVgLFJgM5DGLBIBL0U4/TZzo8dvyuDVfvnvq9m5+/Of7g7zX+evnUO5nZ+Yv/+AD+E//h3bT2vlr8wL/Rb98+/fSffNcrDzSu2V1DawXILP9ol9lCa0srFaSUKCnxlMBT2aMn8L2UwBMEvqbmG+qxoREZJmsp03VBP5J0oybHzzT5rb+eAZ0gkoTnX9tnz+aIJAFtNMbYJI4UAqkEnh9w8FTA/iM1mjWPViDZ0BDMzUo2znhsnVPs2pJyxa5VUrHEf/voBCdPTfHCy3327U4ZJF2++kTIVN1ndtIw1Ypo1K0U0lrSHiqWe4aldkq7V+elV6/y4P4+B04ppiZq3HTVFD/2piV+/2Pw8JEmvYFhtetxcXmCzRsabJwesmt2yM++vc9Eo83jx+HgaYnvG5QyCKEBY/8zkCSwe3PKi69JSGOfOAkxpsEw8rmwGDAY2RVtGKlCvg0iwXAkGEaWtUeRzcqORppRpBnGOnvPFMw9iAWDWNCNBCuxoJto0v6AeHB66i03z//J7y/vSJh+w4eThd8y3tzP/+MB+M/8+gfYuWObeuKRL7310PEL7/urBy/UHt0/y2/9VId9O7rWEREaITVShlkA6aOUQUmFUirT2xLfs5oz8BUjXzKKNGGUMooN9VgzijVRZJhIYBRrRglEiWAYS0ZpSJzWOHCkyWMHIDUGnV1YSoAvIVC25qMVwtVbYKIOk03JdEsxO+WxcQZ2bh6xZW6V2Czz3z46ydFjk9xwieKS7ZK921f48lMJF5cmef4eyfSEphYMCGWIUYIklQhjSNKIlV6Ni0s+N+yr87zLu9z9cI1N04JGrcUNl2t++q1L/N7HNE+dbbHa06x2FQsrHhummkxP1JmemGSiETPXjNl1Q0ToJ/heglIpUthgwmAvqjhWzC94xIkiThRRrBjF2WMkGcWSUSQZRpJRJGyAGglGkWEU2eM6ilKiKNP0sX1/GMEwFgxj6BfglvSiFD3s8bw9bd75L1Z53fPONqKeeV/Uv1P3kus/unzqj9KZnT/5zQ/wX/3tDzDdCtWJE8ffduLU0p8/eGChxsQsn7u/hv/Hgl/78TZX7uiiZIpUGikNSvkope2jNPjK4HsK3zP4kSTwhT0JvmAUKKLYAj2ODVGSWlckce4pJKkhTTWpxuptTQHuXAp5EnwfQk9QCwWNUNJsKCYbkulJwcaZhF2b+7Saq3z0nog7n5hhdXGCa3cqdm3xuWzHkFSs8vkHGjR9j7lpRasx5Imj8PQxj2t2GPojxXWXxVy713DhfMrCSsBg2OD1N3b5yuMDDp9VNOuSMJjgmks0v/ZDS9zx1IBP3bGBpY5h18aUlbbH1IRisunTavg064ZaqAkDTeileMpKLZm1VhqDTVhpQaIlSSpIEkGcSKJEEMeSUWydlygWRLEhimAUp0SxJnKIYxS7dwvuQQbuTixpx9Afxci4xw27V/jVH1/ijTeldAfTDEena6m34S+NPP5Pe2LD35458Ofp9n3/9Jsb4M0glZ1u+7tPnTr7h4cPnapNNkO6qSEWHp+8VxFFHm97ZYe3v7rH9ERKV2o8mWY62+ph3/PwY4/QUwx9yzQjXxIFgigW9uTEijiBKJbWQUhK2y9JNWlq3YXUZE5J5pbk7oySVvYEniAMJLVQ0qwLJhqGqZZm08yIuekuiVnlw1+R/NlnZ9lYq3HtTsHOLT67t2p2bVnho181LC/X2LdZMT0BrUbMxROS+ZWQYA+MYsHcpGRqCg4fN6x0NBcWa1y2u8arnt/l03fVmG1BGAQoOcU1ewU//sZ5fDnPJ++e5umzNTZ1YjZOJUw2Fa26olGX1EOPMIDQB8+zDpMUIIUDcuyFnWpIU0GSkgEd4tQQJRDHqSWFWBPlj7HObMfclcksyMRKkl4s6CSSbqyJhhGTYYd3vH6Jt9/S47XPN7S7LYZRjVEUMBierOE3/0QEdQ/h/w2WZ745Af5H7/0YqdY/9MT+p3776NHTEzMNjzA2eImgIwJGUvL5B3y++lSN8ytL/Ivv6DM9kTAKa3T6NTwV4Hs+vucTRCmR7xFEVppEsU2lW8YRlokyVkoSiFNIU+skaG0DLq1N3sOZgdsC3AauAt+zAKmF0KhpWvWEqVbC3NSADdOr3HMg4i9vq3Pw+BS7J332bobtmwO2b4IrdnboJx3u3z9BXfnMTSumWjDVGjE9mRAEXpa4gsEoYLkTs9o3tHsJ8ysBOze3eNG+eW57oM/BsxM0whhfBQgxyd5tih94zSIvuGKev7ytxf1PTrHU89g4kTDVSGjUJPWaIvQFoS/xfRurKEVmH1qUG2wPq9YUQE9Sna1umbWYaJLUgjuJIUpMec8SOsPEkko/FnQSQTeB4TBBJwNm6x1+6juX+f98T49GGNDu1hlGIaMoZBT5DCOf/urpCb/h/bcNm68Ojj710T/be/Vbv/kAvrTcRin1o3/4px955/ETZ2drgUQmBoE96J4QdITPQEpWRx6//SGf/UdXeNPLe9xyfZdNGyK6nTqDUUjgJ4SBzyjyCANr7+UAj2NJlNhlN04yTzsls/7ImFuiDSW4bZIyY27wlE2YBL6hFmjqtYRWLWF6YsSWDR0utvv8wSd8Pv/gDMsrTS6dE+zcKNi2MWD7RsGerUO8YJUP3Olx7HSTyzdJpluSyWaKlCPOLhhCTyIFGCOIYo9dGzs8QEqnr1jpGC4u17l8e43vuKXN334x4MTFEN+LEcJHmyZxInn+nhV2fU+Hzz/c5/2fn+GhE022TQs2NFOatZRaIAh9QeDbWMVT2MBZiqImw2AvMm2wTktqAZ+DPEmtpLNghyi1tS5RnjxKBIMEuomkm8Ag0qT9Eds3dHnFDSu8+eV93nCjxhMNVlZrjGKbXR1FPlHsMYo9klQxWDk725zc/a7Lr/sONRq23xPW/tdM3PpfAvDl5VWCwPtnn/zsne985LGnNnrSWC8bkwHLoKTAl4KelHRljXbk8YEv17jj8S437OvwPa/p88YXtpmdChkMQwajgND3iRJ7oPJAKUkUcSpJEkmcCpJEkqaCVItSa2tBoUpMnhG1ySKVJYsCXxMGKfUwoVUfsWGqxyAe8MUnDB/88iT3PznFdOBzzTbDlhnJptmArXOS7ZsiLtm2wuMnBnziK3NMKo+5ScFEUzDRiGn3Uz771RqtwLpD2sBg5PGmF4/4zH22Jqbd08yveGzf2OItL+lx/4Eu+w8HNMMEJYUFuW4wjKzW/4FXtbl8yzwfuKPDvU9PcWqlzuYJwWTN0Ag0NU8T+OApgZJkCTL7d+flRzqTalqXK1ySAd0SBMSpIE4zYKeCYSLoJ4Jeio15oohmvc9bXrvMd7+mw/MvT9k07TMYNun0AqI4yIDtEyUlMeVEdO70gY1B/Z537r785XrQb7+33vjGg/wbCvCV1VU6nR5Sih+8/Ytf+c+f+dwXZ9urq4SBIk0zTSgNSuQsDoGEUEJX+vR9xZlOyLn7Gtz3RI+/vbbL21414HUvHjIzFRCNQkaJPWBx4hFnQE9SRZJmCZu0BLg2GXPrsqYstyGVtHUcnqcJ/JQwiKmHEa36gJQBX3hY8tdfmuLJ45OIOGT3tGHLlGHDlGJuJmDzBsnWuZidmzucXujyR59qkozqbN8umGp5TDRhohEj/IjOoMlUy17kxkCcSGZCRaITunFAt5+y0lGcXahz1SUtfuLbV3nX34ScXGjiqTi7MDySpMYwkmyeDXn+pR2uvaTHUyfP8sEv17ntoSnOtes0Q0UrgKZvCDyDr8CTNp0vRLW6TgNG24su1YLUQJIK65+ngii1SaJBKhikMEgMSZKg4xGztQGvf/Uq73h1l5ddEzNZ94niJivtkFEcECeeBXasiGOPqHBvZJFc6w3adB+9Y+Mo9v7zJZfdlCwunPuLWq1Js/WNA/o3FOCDwYDJyeab77vvod+/9bYvTgwHHZp1z7KCFFnQUwY/njR4qS1mCpSmngr6KqCfeMyPanzyviZ3Ptnnptt7/Mx3drlyZ4eNU4qJhkcUB0SJT5KUIE9zgGuJNhJjrCQwRUCZpfqVsUGslxAGCb6K6AxiFjoxv/vRGsfnp3l4/xRGB8zWBRs3GDZMCmYnFLNTPptmJZtnE7bN9ZmdWuHzj2geenqKa7cLpluSVkMy0dA06xHCHxGGHp6yv98YSFPJYOQxGMYkWtAdaLo9w3LH58LSBDdf0eNFV63ygdtr1JcVnowtII1HkgZEse3x3DBV4wV7e7zg0h4PvOIcJxckf3nbFPOrDc4shQRK0vQFQS7DpD32BZHnUgXL5IkRJBpiLRilMEwg0gbSBJIYqUZsnR5w7S57Pm68MmWi7pEkTdpdC+wkA7YFs5extbIAjyVxamVlkgqSVNHp93jo/i/PJqn3+5ddcf3KcDj4xDcSk98wgB87eoQtmzerD37wQ5c+feDQRL/foVHziFODSvKMpEGmApUYW+uRgpcKfGUIEkMtFTSUYKAEfS9kkPosRXVue2iSe54e0AxH/NM3tNk+m7B764Cbr+7iCdsiJoSVKzYraWuljXGYG4OQBiWsZ25IQCY8dVzy4AGPT9/f4qlTLaKkQctTzNUNM03DdMNYH3zCY2bSY3ZKsHkmYevcgC1zK9z55Ih3f3ojW6Y85iZgoqmYaApajYR6OOKeQ4ph5OE3LaiMEUSJpOYprr98wH1PTNnCp0HKasdncTXk4uI0P/HGi5xZXOK+R+fwJSBiNBQAGkWS3sBjulVjaqLJiy7v84pr+3zPKxc4cFrzmftr3H+gzqFjTRLhMRop+rFCFaUPbuCZ5QSMJtEGozW+SJkMImrEvOiGHnu2DNm+Ieb7XzeiHkiadZ8oatDuBtlK6mWEowqv3d7lmnuSFYQlibArRKfDfffdM3Hm7MVLv+3bv1MdPXo03bt37z8cgB848DQTU5PBww8/+MNGJ7/dba9Qr/kkqUEmupAmUgqktIytEqxESA1eAr4U+NoQpoaaEjRSwUjDMPUZpD79tEa3m/KfPzCNSWI2zQ25aueQ2cmEt71qwM6NEXEsMr0twWFuMv0ppUZIwUfuqPP40SbC8zh5rsHZiw1qdcVkKJhqGiZqmokatOqCyYZioqWYbnnMTsGGqYRNs0O2beyQmlU+8pUJBr0ml203TDQUrYakVde0agm+H/H5+2qM+hJ/o+0WzSVKs654/U0D7npE0xtJeoOUTt9jtetxYanBlXtavO1lHR5+qsHJ5RZKaiDO9LJPnCpGsU3M9IYe7V5Aq96gWR9x5fYhL7xiyOn5NifOr+L5KY8d8/jbLzcQyhauMT5/0GhAgzHEUcquTQnveNWADRMpV+wybJqFNPEZRS2SxGel45PEijj1sjjIAjoHuI2JXEDnBkDmwTsgT7THxfklNmzc9duPPvJwf9fOXX928MD+6Ip9V/7DAPjZs2dYWlq8/MyZM3/w4EMPSiklgS9tdlJIpDBZdtLgSUgyNk+0wEusToxTg59aDRh6hlpqSFJBpA1RKhhpySiVRNon1rDQm+DLj2sMKR+/345swOjsnmfxMotM5BWJEqkUSewhtYfvSVoh7JkzNH1NI9Q0QmiEgmZd0qpbOTTZkkxPwOxkwtz0iK1zXVJW+N2/q3H3ExvZOwvTjYy9G5JWPaFRj2g2BtTrDUIlUVmgbbByII59hgPBYJTSHSl6Q013oG3LXDPgzMVJXnrViJ9++0V+5289Tq2GCKExJkanhjjxiWLJcGTLWFsDj2YtoFGv0Qgb1MKYVj3i+ZdFBH7MjZclfP+r+3gqyZJAGiFMVZRnkk5riRCS0FdAwHDksbTi2bqdNI95snsiyxgo09Y5uHNg56BOsqC1fE1m7VpL9+GHH5Ag/6DX739lNBo9+Y3A5v9rgH/yEx9HCK9+9MiRtx47dkQEvkIbARm4hTCkWYOCUjYBI5VBpaBSqw2TFLzU9j4meUSfZlF9HtlrUb7WgkhLEiNJtUesQ9LM9nJvRZYysyU9Cb6CWt1Q8ww1lRL6EHpQCwz1UFAPJI26pFHzLMCbgqmWZmYiYXZqxMaZHls3LvHuT2vef9smdkwpNrQ0E01Fq6FoNqBRT2nVY84vaY6eD6kF9oKGvNJPMIw89mzWbN4wpDMMGAxNxuKS1a5Hq16j1Zji+189z7HzF/iTT2zDkx4GTapTEm2IE49RpBhEtiiqX5M0hh710KceprS7NsYI/NQmzPwUT9pGCSnTrLDN3m3pii3htCAXtHVWZaltXJOmEq0liS7jHaul8wA/f+48JiJ7Pwc32deFPd95ziJzvR57/HExGA7fumfP7qOf+tQnBm9605ufW4BPTvhBt7vwC0tL87+QxCMZ+NZ/lqnMAkpDIi3AU53VcqeCNJMniQYvtX51micftMlem+K98nlZKWe9XFEESq7mBipBrSc1niSraQFfCXzPWN/YE9RCSS2Q1ENFvaZo1SWthmGymTLVSpiZGLFhus/OTUvcf2jEB+7YynQtZFNLM9EQFtx1SbOmadYSWo0R9x+Exw40uHQus0lFmTYfjBQ3XmG4bOeAB56coj8yDIYpvYGXgdynUatTr03xXS9f5rFD89y3fzMYhdapLYdNDElsinqSwcijMTTUa4paoAkDnzBICT2N56X4ns0OK6WzIjZ7fhDGWrgZLZTBuS0h1rkjpXP71bFic2DrHLT5awpgVwCtLcjTzIpMinNv0FrQ7w/luXMX/oMf1IJ6vfHrQPScAXw47MvRaPgrn/3UB/7v7ur5oBZ4tqhfY12TVBQHMpXGHhBlUFlSIVUGT2fPtW2g1cXVnGcfseycgVxnmbg8WWGMwcm8V1bc3K3JEzpKZhlLhVO0ZbN/YaCohYp6KGjUBa26YaKRMtlMmGqNmJ0csHVuhfsODviVP9/EqTNTXLJBM9WAibqiWVc0a9CspdRrMYE/pD20xWK+svFHfku1Zbg4CZiox/QTTT+rs+4PU7p9SbuuaHRDamGL3Ztjfu2H2/zH90m+un8TBoU2mjTVJGlClGiiWDGMFINQUh8paoEkDAxhoAg9je9bv99TJqvzyVbVTKYIYaoNullq32QkYrJaljQDfKrLRwtQmT2KEuDZ87RgbYrV2SbhSiLTaVZGoQ3HT5wOpFf7uX/6g9/n9/v9f99oNP7e6fy/N8AH/Q46jX99/xN3/6vVpVO1ZkNmWTHroyoNqbRXrJKCROVANmhpwZ1m4Nb5cy3Q2hRpZF14tGC0sV3kWQmoe2cM4JnszgJLK1FsTbmVRF7WiuZ7kjCwA4BqoR3JUA8NzZqm1UiZaMRMtiJmJgZsnVvlvgN9/uOfbeDgqRl2zViHpVWXNBvSsnfd0KilNGoxcRrxV7e3kErhZ95/weAmX8J9fuC1K9z6UEQ3CulnAO8NFN2eoh161IKQ0J/gih0J/+lHlvjlPxPc++QmtJGk2qbV48QWmo0izahmy13DUFDzBWFgM5uBZ4qMrae0lYmyLEsuAF6mPIGMRLC5BOu2ZIG8LmWFNqCL5BoZu1OsuOl6wC4AnmEiu9tGDcHBQydqt91+579+4xteLdrtzi9OTv79pmf9vQG+cPEYxugXnTr2cF2JEbVA2XRvlh5PU0EqS6ArLUilIC3Swzm4c/mR/ZFFrUTZfmWBLmwdRQ7q/MCPfa6ydzOrM5GUxVRZHbkFuMT3pa3fCAS10M48aYQpzboF90QzYmpiwNxUm/sP9PmV987w1MkNbJ8WzDYdaVLzaNZs/Uq9llAPI3x/xNmlaXwlUFJntlwZZKapJEkUW6YNSRLTiWtZp4xmMEzpDiX1vqIW+AR+Dd+bZN/2hP/0zxb4d38K9z29kVRLC/DUECdpxuSaUaipRZJhoAoJ5vvge5lzpaTNBcjM3RIgssd1MG7lCllSCFEkh3SWHMqzxWnqvK9LyZk6wNa6PN8FDrQLdFsfE8VD7rz7wfruPbtfJOXff8eJvxfAjx34NLWg33jswdsD0hVqgf1QSmbLkYRUVYGudf6eBbrWhtSj+COrwM5liCmAbnI5kj9/hs8mRVlEJSVIKQpwKymzRolcnkDNhzDQ1GuGemj1c6MeM9GImGoO2DDd5qHDQ375PdM8cXKOrVOKuaZmsi5o1SSNmqJRF9Rr9uKwqf6I+/YLesOAmiK7yLI2PFMGmnHi0awpbr66y/1PTdCPrUwZjFL6A0U3VISBIvCDTD9PceUOzW/+2Dw//8dw7/6NxFoSa501S5c9mKNAEgbasrdf1tF7Kr+TyZRSxuXdVOuBPE8KmRzgGeDTwnlh3ZVXF/q6JLE0NdnX1wN6WS5wbn6V9/7VJ4K3/JNvbfzZX3+m/8Pf+63/6wG+cPEkzYmdU8f3f+iPhOm93FMxxvcyMFm2lvkVK63m1s6yZRm7vMq1EuuztgNoXQC7bAom097FyRBZH77MwJ0VGakC4KCyikHfg8DHdgIFWYFVmFLP5EWrPmKyNWC61eHRIyN++T3TPHZiI5unPOYamsk6NGuCZl3RqCsaBXun1MKEVmPInY8FrLZrTE+XafIcMDrTpnGq2DirePXzetz5oLZdNJF2QC6p+ZKa7+F7AZ5XR0rNlTsM7/yxeX7+jw33HtxIrD3irALQlr1aJg9jWVQXBp7E87IiLClQXn5sKD5ffhHmUkXkVWmUCaHxu3YetXYei5W3Cm63sjMdf52WBkOSwihOWGkPXn7kyLE//ZmfeNtPvuLmE6uX7t39vxbgg+45osHCzy/On/zufncZzwsAnYFKkmYJHe0uUVpkOju/yssrPpcfaSFDKNi7EkiOM3eG9DwjV2hvmVfQlbo7rxj0FLY+wzP4vm0srgWaWpBSryU0ajHN2ohWY8jMZJuHD434hT/ewKPHNrFxymdjI2WyYTJwZ+xdk9RDy/61MKERRiR6RDcKEUri5wxeaHCRsVfmF8c+zWBoywWiGtM5yIcp/cAyeBhIWxPv5RvQGq7ZbXjXT17k3/6h5t4Dm4i1xygVRKnOWFxQizWhbwh827vqZXGHp2yJsJIyOz5ZV37+6BRmFRemG+uMgbsgIYeYXHAXcZUpn7vvpU5Jc24uJCkYI5mfX+LQ4ePffcfdjxyNRvG/+1/K4O2V0zQnt+966v4/ujYensH3Jdpo8Cy4E6lR2oJLa1MGIZkFlIM7dWqS89FoJg8mTRmIlUxRZiWNu2bmrO0Glflym3XoqCyY8rysMygrQsqrB2t+munmmHptxPREn8lml/v2J/ziuzfwyLFNzE16zNVTJmuGVgbues3aiTm462FKLUiYaEbsP2G44+EmgZT4SmdBXOlR5Mt3nCoS7XHL82MuvaTH0VN15hqUfY6jlP4wY2FP4Xl+kTATwnD1LvjNH1/k3/2x5itPzTGM6zYZlhgaWQ136GNB7uWrly56W6VKixVOSeEAXDggZ41eKUFuqgAvKhTLlXe9lblkdwrdXXHNdPm+kIpDx87zuS88eO2v//sf33Xk+JmTl+7Z/o0H+MryebxgcveZY1/9r4Pe6ptN2sf3FFprpBBoYZAZoJWUjgzJ7SWDTnM5ItYsabk/bApPe8wlWeOWZMw9Dm5hkKqsfVEym5+SMXfgaXxfE/qaMEioBQm1MKJRGzEz2Wel2+euJ+E3/3ozjx/ZwIYM3FN1Q6suaNZE4ZVb50Vb9g4swOvhiChNGQ5q1JS9yKQQlUq+PJFiA03PanlvxCgyDGLhAFwTBCmB7+H70k4VkH4BcARct0fwmz+5wn/+m4R7D8xyrj3BsCmZSg2txFDLJg6Evsm8/9xJMQV751JFFAVxoohjcD63cI6/yU5KvqqW4K5KSlvN6YC9AvTc+q3q9/y9fFVvd/osLi2/+bYv3pu+7Obn/evTp8+d2LFj6zcW4IPOceJh/YXtpaff2l4+ROB7gLX8ZDZTRDmMnQNbu1aSEoUksaAW2dKWJ2yqUsQFeH6IXVWYnwQ77gGn5iUDdzEcyJbF+p7OxkykBbjDIAP3TI+FlQHv/KsGn/jqHIu9aeYmJXO1DNw1q7sbWWBZDyWN0GQMbrV3LYyAiC89GrASB8yGVOqxEdUVKk1t88NE6PGqG/rcdzCiG4dMFh3rmmBka9UDzwLcU7YhW0iboMHAvh2S3/mZDp+5b8Cvv3cTZxanGUx5TAWCVqJpJBDGdvRyoOxAIz8PNKUoguD80Q3U3QtTiKJXpDg/MCYhXWA78ZN2wO/mMdYFuUN+djMBxcOPH2bHtk1vrTeaf9XtDU58Qxk8jnt4XuOyhbN3/Muo8xDNukGI1HZsO0kANxFQWEdZBiwHdKG1C1DnEsSUNtQ4a7uyJDvQObPk6ebcBVA5wJWx5bhe3ttp+zsDPyXwE2pBTBjEtOoDPK/PnY+l/OlnJ/j03RuJ9AQbJwQbalaWWAsw98lVdhcZc7vsHeN5I+55eop+5LGlkX+ecQbPVzdbSlrzFS+6ckCiLcAHsbBd63nn+kjb4NDLZsNk9p7IkusGwYYpwXe/skcrPMd7PzvgrqdnuRDX6dckE4mh6RkLci+LQ5TJ4hKTgTw/hqKsHZcgKVl8fEfBQqrkIyoY1+Zu91BZe54zerpOcJo6uNA6/5mCRPvcetfTXHXVFf/ybW966SPtbv/w5Ncx9/BrAnzUO8rK2U/iBdNbo86BV/hiHlWroY3OJEU+YjiTJ6YEu9auJCnZuyJHcq1NlkyoANuxHlz7qhgO5MwrzBspZD7aTWc13xm4la3FCP2YIIip+RGNxpAg6PPXt3n81l9s5OjCDH5YY3NLMBOmTISGZgjNrMO+HtpsZy1LCNn6lTRbCaw8Weyk9KKAQCkCaYoAE+dPyU9gXrsRJT51f8jmqQGr/RaDWGTj1mys4PtpZvOpzO5UFuCVwNVWPr75ZT1uvGqB3/zLIe///BzLSZN+6NP0JROercEJPQgURTOElyd9ijk0osgC5wkgl1SqYsUFOpUVWFdY3dXmY/c1ZsP4XaC14vi5Nl+898ArusN06/xS+/Cj+09z/ZU7/l8yuEmZ3vLq3cPVx94ddx8mDA1aJw5oRdZgIFBaYhwWN6YqUYwu6xvy4LE4CAhHkogxaZKD25RskmXfpAtwaVDSjp4omTvNQJ4QeFaShMGI0B9w4mLCn3ymyce+Msuxi9NMNHxmajAdprRCk6Xec3DLDNyySArVMu0dBvbCmWiO+Og9HodP1qllE7iKdjFKlBdjHIzV4XHisW8XfNuNXf70c7P0Gh4T2eyRMMriBqXxPJmNrcMBue+cK3sudm6Q/OL39bl2zxn++NMzHLswyXJSp+97NJWgkQE9kMZeOJnLVKx++XHN7UOsPi8znWatT54TU146Ufjmay3FoovIuKv4uDyxSaQ089pTI4jxuPXeg9x801Xv/q5vf+kb5pc6X1OqPCvAjekDdUbtO7angwf3euIiMqhnEW/WOaMlSutMfuSglsU4tNIlEQWgc/Abl72NKFigZIWctk1FB+bAFlkxl5Q5wHXmmuTsneJ7ie3c8RLCcETgjeimEX/w4YD3fmYzZ5em0KrOzKRiJjBMBppGxtyNIn0vszqVTJpk3nkB7sBmL0dxxOEzIb0oZDrMXJw86ZS7EnkW1jg1KbHHRNNjz/YIFQ7pRi0GgaAeG0Y5wL00S9Qo62PLvAR4veBVMTfZ5yfe3Oett1zgvZ/p8CcfmWVx0GTg1ah5ioYnqCtDmBjL5lmfrCfL8oY8y7mGyVlHrow7LEAllsrB6xBZDvIS3LmFmn8tq2kxEGnBSCsWLnT47N379+KF23/wTc8/cWY+ZfvGZ95q6lkBfurcRbSYmvNS78PNwe1+vS6Jk1E2z0/ZbvUC6AJlLINrowt2Lxhb58ztADv7g0rGFph1P4lx7EBTALsiT2RWJadSC3AvxVMpgR9TCyICP6I9jLjncclf3zbBR74yyzBtEQQBs4FgKtA0A0MjNDSCEty1UBKGkjCTJjYxlDkTGcAD32Y+j5833PVQgyj2CZtmTYCZ38p0tiWDKFb4vserb+zygS/0OHimyaBmRzOMfEOQgB9r/EijlLS+tbTWbDHch/J4plqSaEkj9Ng0NeDfflefK3eOeP9tLR7cP8nCoMlQBfi+R80T1CWE+YCl3F6VxuYTBA7IqzUr48VZLqPnBDXuiOWvx5nalSNJBvxUC2IDkYaRFiTZJLJP3HqP/zPfdc2HMQvPC0V34e/N4Du3zshHn9z/wr/51Ocn3/GiHlfv8hkKTSJ90jRFa0VqJCqTKCZ71BngSzlSlSXFPQd2JlFcBq8U/tgeHcvkRUpZF+WeVncbPJVagKu0kCOeF9Puxdz9pODPPzfBbQ9PstxuIes1WnXFlG+YCDQN39AIDPWAjLUtc9dDSS1Q1AJBLSCr0NMZuDWhb/W38kYcOgNn2zWbWMn0bTVxUtbP2D5IC/JES6LIY9OE4LIdA544ldCPfUbZjO8gwoJP5ZN180QNyLHOnPziyW3IOLX14e949YDX3bTCFx/p8r7PT/Dg/gmWug3aMqAXeARKEEhBKG0juCftLnVKlBepEvl0hLUMvqZ+ZZzJHULTOIGnEaRUpUiiITEQGwtwmzdJQccQj9i5ZZFo9UOTTx9+xwv75qbP8SzDg55dgyenwit3jv7wdc97rGm1rMHXNpBLpUeqU6u7jcxmj5QAd8Fdea5zHeoA3DkgFV6oSBNTKdC3skRnmlujZGoH4uduhoxZ6Cbc+ZDHZ+9u8Ym7JpnvNBG1Gn7LZ8KDSd928tR9MtkB9UBkd5mVnGa6OxCEOXvnAPcSgiChFkQYE/Olh0NOnq+zYUbgy7xVT5SNvg7bGcdCTVPFYOSza5Pg1Tf0+dhXI3qxzyAW1Hzbrxpkk6XKVUoVfrWdo055XI0ozkkuJZPEox6OeMcrB3zLjUt8/CtdPnN3gzsfbzHfbjAQAYPAw/MVnrAjPXwp8YXJpJZBIRxpWLUP1yHzigtWMrcoAtBcg6fGAtreSwbXubYxKegEdARpBKnhd//iQvN7vtf7w4mJk1cCg/9pgK90NSuDwfdGK3dMvfrmkwgN6UDh+2R9linKlE2+pgC4rMiSfA/L/L3KSQDbO7lOTWAloHSALYTO7EA7rDOXI4EXU6vFDEcpB8/CiXOKD94+yecenGB+pQl+DW/Cp6EkLd/Q8jR131D3oeZbcNd8O5PQlplK5y6yr5sM5LoAeeDb9rSj5zRPHA/B97Nl3jgpelFBgRuE2Xpp22E+in2u2TPiqu09DpxtMKgJGokgjA0jRWbt6Yy9czcltyBLrVL47LkBoFU2fcBOlqrXR/zQ60e86eZVbn2ox4e+0ODEuRoHzjaIVkOS0GPoeUhlp/oqwMsecyYvpAtl8L/mVrgpJag1jiwhZ+38a7bxmQqwbS+qBXgKJuapAwFHHx9y5TWPsGGu9awc/YwAPzffEVE8+uk/ff/hqUs3t3jhvpibrojxgpignqBjRTSyWtxQZfGcQUpgSyegFBmocR7H4J1H6oXms0mNfAqt3eUhJQztJNUkTbmwBLd/2ePomTp33F/n7Eqdo+eaEIaohkfNUzQ9Q9PT1kXw7eD8mm/HtVkQ53eZ3VUGcDLNnYHbTwl9y972woo4vgD7TzTwZdUeLCQKZT144SgU9mrW15j4XLVrwGUb+zx5LKGf+LRiwciDILEzAZUDcCkFQsoKk8O4/SaKYDbvo4xTn5EfMFGP+IHXjnjZtR3OrnT40gMBx06H3Ppwg3NLNdKBj5YecaAQUtqVIuvKl2QZTyhky3ogrwSauFnq3G3JNap27ll/LRnA4xTiFOElSJly0w0xL7o84pZ9X9zwmjf83L/8Nz989F1C7F03fHtGgH/itr8lilL+4iPnSdIZ9mxNuGZvzCteMOTK3QnbZjSX7h4RGkkaZ+ydBZ3GuEDPpUgGbIfFc7aufjLjROwlaxdSRKX4YUqcGo6dFjxxTHH7/Q2ePB7w9PE6nZGdg4cfoCZ8QiVoKGh4mrrjA4deXqeRl83auvAwkyVBoAgCmV0AptTefmozi77V+bUgxuiIi8uSkQnxPEkgDZ5js40ReAHy1HGc0swPF3jMzURINaQX+/Q9YZ2OuCwY85SuZCClcKLYfNgRZUyUt5blg5H8VBXjJ/qjgM3TETs3xTz/khGDaMA/Pd7myRMBt99X44njNY6dqhEnCkKFkQqEJJVONqhIUqyjVSriPPeB80ftPI7dtYZY45Gyd0/MtpmYfXtibnnBkGv2JuzeHKMYNZ9+8kvfrY3/rv8pBn/6qb9CmBUVD+4XD96/wse/3OCxIz5PHKlx630NJn3Nzu0x1+yLeO2NI151fQTGtkXVm2Q6W4IWJLEFfB5IVhjcveSNBTTZ/BLfM7ZxWRriyNAfWkY/cUbyN7eF9GPFo0/XOHI6ZLEXMEoD8AJQPmpCEUhBXUFDGWoKO85MZYVHyrJ24Aub9HDB7UuCTJaEAYQBmWtiU+a+pwn8JMuIxtRrEfMrKbff26LdDZmeFHiZF58XfYlnYjbtBIRaMhopNswqXnfzkFsfHHCq3WTgSytTPPATgx/nnnXmscvU2oW4s05k8Tu08SolE2kqCVJF6ikS3459iGPfWql+TDOIedk1CS+6csRbXjHk0GnJY/t9BpHi/bc3OH7BByHpDzzSSOXlmxgvB/iYZeSmbysAB4xGpAahDSYDdr2Z4vsaYTSvumHEa28ccvUVMbu2J0z6hg2TWZ+vho/dIfiTzx8Xb37V1eojn/pA8p1v+u6vD+BRIsBM/8HDT3ave+y4jw58EDYCXugZFrTh+HLIvU9oPnx7ytxMgtGGGy6PeMdrhkWv3dyk5vprIpq1bMUxosiBrT3nohjO0+4LHnvcY6kjqdck9+/3+dRXagxjxTBWnL8QoIVHbHy08MHzEKGHJyWBEtSkoZYBO1SGUBlbA+5lnq9XMneQ92UW4FZZj6Yo2DvwNUGQF2ilBXsHQYxSEV9+RPGxr7ZQgWfttor+fmYGz73wNM0dD8Vw6POmFw/4xD0d3v+lSXpJjWamw/1ch8d5UsYU3UJCyAJg9ldJR+s7ANfZaAfPMrnvKRLPw0tSC3SVopQdpD9dS3jxFQk3XxFjxIi3vbLPMLbj3D75lZAH9gfUQ8FiR/HYkwGdvsxUkuAZRXmx84RtDbz++pgNU6ltekg173jNkOsvizEa5mY0M1MGLxtsY1JFPLJum5CGq3ZGXL3jzHW7Nr/wDxD8xNfF4OeXumyeaU78u9/98BV/84FN6thSD5RjpGf7MmqjGWnNxbbh4qodGnPoVINPfdleiSY1TE5rXnhdRKtu64DXTU+6l3rmOqz2FA8+EdBpK6Qn7UwU41lmEp79PNID6SGlxJfCglkaQqkJpAVCoCBQ5Yw+C3JRNjx4thEgbzx2wW0ZPiur9XMGT517QujFGBNxdjEgGtUIJyVBlvZWWVVeJYuZd/QArnVadKdrRRT7TLcUOzZEBGLIIAkZJIK6Z4dg5jUkeUJLSbe8tdx+0f6OPNmmy+yp1lnzSSmNkiTN8gYqm8ueECcpKra5BE+lSJmwfYPOVgzNlTuHRGaA9DTttuDBJzxW+xJVKJZqUF0501kxVrOmedF1MZPTGpPYlb2u7LGzn91Dx5Iod+ay1T/7IezenPIffrCjvMnOFc3NPzahkzd2pDf17AA/fW6Riwsr77r3iXOvPNaRELrNnianYgtW5Q7aMSRG086XIKXprBrOf7np/InrAdzVb9nJEQKdb7lAVnMqVBnkSJlZWTmos7SzJNu4NfeNnUcv66RXZFvvUYDbtnUpggzcgUdRYmoZPGNxTxNk2VHfjwnDmNOLmr+8tQlegC9FGWAW8kSsYXDXH86HhFqw2cE6Uezz/a8b8PE7Bzx9sUUv9WkkdlNaWwVoyk4clecE3GAvL13MpZB0Crzyuy5qYTxP4ad2XoqfAV3JMmlm68az50Jng4NSPGEQJmVDQ/OtL9Ug0kxmAiLfP2Odc17UGAnQijT2yOexJLEkpmpSuLEcYw6cNoake+yV/sSJd2Hif/41GfyP/+p2lJTBqZMXCH2JEZK0clJMUQtc1VSZ1165AAyp74B7XXzn7JYDvBq8CCmLFjQlwBc2rRwKWy3oS/vak2Q1FVn3eF5I5OHMQSHbma3sqi8BLgvZEgamaGkLAu0MzknwM/YOvBgpI05eECx0agjPI5RU5Il0/yzndLvSoQK8zOmIEp/ZiRG7Ng84cGHEIPUYphCmAj81+EmmwxMKZ6lMoatKp0Ie21kL11Tq9K000nipJlUS5eXbl6usWM1uK6NkeRdSozKQi/x3Y6dkCWkK1ysHeu6ArQfwMrlXxmVrgZzZyxWgO6UfGkguEOuPBwUGnw3gT+w/jRCQDAZM+dabTLOUa14fkFJ6m64NZAsnXSB/LVlC1pXjFNYLgaRMEdupVOALgy8y0GYSIH9evJeRfVkKStFgGyhhwV4Bt7SPQQ70PPjMwJ13/3i6kCi+Z/VpEMQkxHzmnjoXF+r4k4rAreFwHRTGFKmbunaqL/Okz3BkJ9i+8SU97nl8SCep0fc86okmytLpSpYFUXnBmRCasnMoDzTzqs3cOsxmqhhIlf2dnhYkSuClMtvFztbyJBnQy2SaLhJsUmon8ZY9ly64M5u32CvmGc6/U2hHYUJQcd+MqQK/kkDUgBihObrualEB+B+//zYmWrWXvv8jX7nxwoWUhmdKgz5PmRZgL0GfPxYfiK+98UohSPJkgQCVPwqDB4XVprKUsZ1vUmrcfNahygd6ZvLEBXYxB0Vh+xHXA3gecOa628tlicn0drWWPPBjAj/iQlvz8JE6eIEdAS1NkZ4vGJwqi+fMVfrAbqmoLDzxOPa54dIRs1MD2isN+omiocBP7N+iUjtAScUuwLEgL36RHKvUFFnfZFbirDSpFvhakCpJqjSpEiQZyN3itbwcQuYgd0Cdl0wIdAZyspLmPBNdJu0qxRiV+hWXzZ3P7IKc7O9xykBs8lAg/OaNM1u/5aWLp19/94Ydb1of4Ekc0++Zb/VEer3QIxq+n4HalPXcZN0amAp7a4TD5JmhPw7qzD5xzaT8Ks+zYiU4TMHg4yWcXl4bkdWA56Wetrk471SxskQV3SslsPPmW8vemeb2KPR2bglaxi7B7RfViTGCmE9/JeSeJ1vI0COQws7fLioI3fksbh11eVLdk6SLGYA2eTYY+tx89YBve1mXP/l0iygN6aWSWmoYJWQrl1v1pzM5p8cuqGdictCeLEam5eBOlUQpbRldymy0hHZKkd0aIFOCvJJtzpk8X6QdmSrWkrk7cq+sYcllyTjIy8K9vP4pTRPw5PVRNPxWo5O712Xwo8fPMDXZet3ffOT271tZWqBVkxjy3risnUyurfG1Gqm8Dl1FYqhcr9kf6zB4Bu4cANIBhaSseXBHG+TMbbcgyV+TMThFG1aFxbNuGF9VwW3HKYwxd9azGWTtbb6XNxwkzj0mIuZDX5ogNSGqyF66AWbZ15g7GxUNzli7npZ2OlSaB5seAp93vKrPX31mxKqOGaQ1BqnATyhYXEqDTERRdGbtwvH1U5bnKy94yrW/l41uUBnIPYPSVq7YMXu2gtFmj2VRmlxalG51Z1nGXDSlFEAvpcpagFfX9irISzJwK1GLY2YESaIYLK/gtwbft+PS193RWT1768TUtirA0zQmikaXxlF/bzzq0AhC4myaq8x2B8sHXFYBXq4zLqCf6SaEw+SOPCmAPlaeWWjxMc2Zg96d7aGUKLV4VnFXGXaTAdtTonRSCjvQdtzbxmSTMXcZYHoOe4d+xMNHJIfP1TDKR0lJIDXeeJ2GI8DHXZT8XqyMYw0kaaqIE5+9W2OuuqTHVw/ViVXAIBHUJPip3a3OyresCyfJdDjSyoXKr6yCo5RG5SiPfCakp3QxQ1Jl0q8Ed14LZLIygZzJKVYP4YAbkU/MWp+917sZV76MafRKs0xa+vqd3oja9GhvFEWXxlF66xoGP3d+hUZjSLszsKwjbfWYEKClUz+R6ZICzE5MaZ7145e5S7fcUowD3QG3Kmq+S9utlCzCds+LEtw2yBRFt7hXgFtWAO4O/7Hd9hTALrKVBXOnBJ5N7NiuoBhDzN9+qcHSUh0RetZ3dy/C8RqUkpwqFmHefOvWcRfetLZ722yYkbz91V0ePjLBKK3RVwH11GrxvJxVSTJw52tFNrq6Eg052eT8d2pHelbm2EiULme6589lsa16psFlvt9RLk1k2RwxzuBjTStlum9toV21wlRUcFYpwc60eKolYDDpgHi4QBKXxYUFwH/rDz+BlJJuexVtFIqSjSozSpxlZXyUw9fi79z/L+XJ2KMLaJfFK+PFSsaWLoMr4bB4LlckyqsCPPCyAUB+vnVgluH0DH6RitfZ87Ry95Tt3Hn6JHz4thYjGaCkyrKX1QtxPIO5Zll2jmNVh2daPFUkqUeYerz9tUP+/HN9Hj9WJ1Y+fSkJUp25RwKZGuc4GdteJtz1VGe/q7pvkcvkqQavsBDtaGuVlQSo1JTDOou5LKK4oJMxPW7Pp1ssh8PkOcifHSsVXe7KFccmLLrugXpNYEaPs3jiKFqXEs0DOHnqLDt3bG3861/6H3seXV4okhPSXhiFRKlcUazV22vA7L4W48/Xau9nliiiAM74OGTpMHYeZOZTmzwv3+Q1095qDNx5+t7PG5O1nRlStIjlPZ1Jdo9RfsThsx7dKADlZfLEjJXHjl+41QNSHWg05oVn3Thl4sej6Quu2Dbk8cMRqQ4Z6IBaamu2vUyDK2E3crXnLmdLTR5klkxeJlHyDnevGGwqivHXqbSAV9nuFFKXEwLy6Vpp3t1fGABlcFkEnmPnO0fLmoaJistUfVJ4MUWmfxzs9vDGUUoiNu+56uafaaws/av+9OwWC/AzZ8+zutp+7b5LZn/+iceHCM8W0LtN7W6ix/0kRrgfpAruCqiz/7lfE9h8jguEEthlH6NyWFFVhmrmIKeskVYOqIvnWZJHkXnhFtwWwOVQIN+VJy57q6yvM4hY7mr++9+1WBrUEKFv5Yk0lVWlHJzz7JqzMk0gnxNTMLh1VJLEY6Lh8VPf0eWLD0+wNAqIpMdASoKsh7Ic+ZAxuFtPL3RRRmvQGbh1Zrm5zorIGNwUQXoOdiVFxuBWEqWFi0IhU0odXrYTljIlDzxLq7BybMZWubUAHz9mZfBZPipW2pr67NafP3v60N1JPPh4weCPP/40tVrIyZOngBRfycwZWf8XFlfT17q5gHZfj7FbqcFFCXI5LlGqg2kKYEuBVOX4MeWA2pMSL5MkXgHwXHPrIqj0PV2A2/fy+osqe/sqJggiPvgln6eO1kH6SCkJ89JYx9os9ojP/shnrCakZPNyFkgJ8kTLbJMnn2v29nnzyzr8+edqaC9kIANCKYqkj5KC2AnoxplcuEw+ng3Mga5AGbsq2CkJFLMdVTZMtRwrUc6iKSfT2j5OIavypHBWHGKjAvivfXOMunUwaP+O4Shh/uIZRkmATu3GEB5AZHyk9hklnt0vx7PBW/4z1/sQX0fdVPGPSx2aF+abNQNlKp5xEViKks0LhvxaAJclwJVTQ+1ldSk+hRTxVemW+M5woFJzW/b2PTu1aqWt+eSXWyy2Q6hl7omzwdYzSRTyGpFxZlrPtit6WiU6zd0Uj+kJxbe/ss8n7hmy1AuJlMcglZk9KbJ4SZTN2HI8sWLZO39LF2xe9kZ6ubOisufZ2GudjcPOj7sLcpHtnFdIyUye2NXZ1eNiTK6IKsCFQZhnhnuuFMS6EZ/92b6naTUNUxOCNLFf8e5/5DCbN87s/vTt9//044fOg1AO6L7e66uCbYzjHhjGTrYD9OpdrC9R8sRJBdjV2d9uh4sd7k4V3PnOBjlzK4e51zB4Pm6iHDnhKZu5PH5CcOhkDU2IkF7RnFtWD7rxg3BcjfKPd2tRCpAjHHkiCiejaDdLPTAe+3ZF7N0yZOlAHZMGlsVTK1M8x8Up2dMt9MrrhaTjgGVsbkqfXMtyqpQb2yhtLxqdj8guzktJRgW4tchmqeSaXIxJFTGGB1O8WCNT1hDsWkzmEikIBJ4+yfTEpT89u+WWR7vL+094gpQoGm4OZPq6zsoSUxNBRUeu/yN51i+sp7fHH4tZIVRBXpUnwnEmhBNsloC2DE42Ctj1wd17tqW1csHtgDzbr97PSkNz9lbZa8+LUSrmM19tcXixDkEpT3zHuqxcsKwdF7GGlQr2rCYytLu7WV5GG3lcsiHijTf3eeDpBmifJLVa3E+z7G5alUolc7qWXAZyYxyJ4sgVmT3Pknpa5neRzX83xbjlVIHU+QprCmIqEz7uc7Lkj3DwkcsWUcENz37Y3CNYHG9jQAiP5eUOc0P5uiiKN0cxJzwvCxhCHybqgtArmXQ9kH7Nm/MBc+Zao7vHQJ2/Hg/QckCLdYBdsLkSThOuA+5sPmG5bQdrge2VA4KKEW+ezkCeWHmiYuqNiK8eVHz8y00GwwAaHp4U+KIqTcY/v/s3r396xvT3mGXo+uJx4jHZ8njLLUM+d0+f+w8GmKbPIA0JBMWFporfX+pgZy0tQO7mLGzwmV1gyrJ5Kq0e1w5r50G9zoJLmY3Klhlwy0C3GkOVuruMC+x7ogC6C+51Ab7uMcxXBvv7bbGazyhWxQ5vXprEJHGMIKUe2uGMVW2UP1//LD3Tyauw9RqAj0uU6kTTMrgUBWiKeXnK2b1Biaw2pQR3CfK8bNbgeeUIZS/bhMlTVaD7BVvbu1I2wAyCiDhK+dy9DZ4+1QDfR0iVgSqbG+IEl0JWT6pLEMWhclk7r+lxMpna5Nv2ycITT1OPKPK4cmfC61/S47ETdUZJQCp9BloRpIx9ltwLZ4zB7eOagk+VX2wareyMSWPASIFRIE2px4sVVYLUzixDXa4achzg43EJY8B/hkznsxGrcP6Xy5w48hhGmjiJieME72/+9tMopeh2utRDHynFMwaW673pvrXW6147fnc95q6COmdsN8AsdyAopYljFRaMnQO8nJxaSJSMuS1jm4KpveKxfO5nwaWnYsIg4smTglvvadAfBND0kSKvHMSxB9fJYjp/p3u08lqU3GetDpIfS/g4BVhR7NNqRbz+xSM+ceeQx46F4AUMtSTItLjSdoNdVxqIlEIekI5lEFXp5HiKUrpIy+b5qpIH+dpYsEtdJtqEdt2U7JzrktnHcxxrAD4G+gquvgbmKoGegdT4nDjyKPPnD6PTFK/XXkZIQRTF+L7M9NC4ASnW/Q3PdrUVrF18cFG5gtdlcemA3dXcBcit3nazmUplFYZZRaFt58qee+588DFwZ3c/n0KbFfh7KrF3L8b3YxKT8um769z1ZB1qHkjb0Ow7JbyV0lj37r5Y51aZqU1ezkrRjJyafK5JCfTR0OcV1/R540v7PHWyRpL4GKEYCA8/pfhMIi1ZvPwI6zO5O8ReqZy5LZvb18LOgJeum2VBrt0gM2PwYmjnGLgrAWcF5KZiaKzBkfNi/FCOm3lGS5ZXeqx2IjAGTykLaqUkXtEMIooTsN7t2WWJWMPY5XP7QroAd9q63J0FKsCuSBU3Te/c1Ri4lXP3yk1Qc0D7Dqhz58Q6JvZRqZjAj3n0hOTDX2oBAUgfIVTRRaSyjVTdrKvrCJXiTowBjEo9T8ncjgbPiom0ykY/FPvEexjj8Y5XDbj93iEPHrWTBGKt6KciK/jKQJeagrCKc1KBhl09UFSAnn9VZaDXMtvPJw+Kc+0tMzYX9rE4h9oZ2Cmdi7+SACslSXm8ni3QfGbfPC/Eyp/7OeMYu4V7WbGnstEDz5KCX3NljX2YkrmFc4XmV58zZXVMd5dSRWTJgtJ6ygFezMlzQZ61ppWbTdmdHcoB+CW4K6ztPOaNtblUUSrB9xPiNOGO++s8caSOHellg8tAGGdyrBtYiTWBlVh7xCqFamUBVO5qUNXiWSubVpmjknqMIp+r9w55xQstiw9Sy+IjETDU4KWiDPzS3C7M8tmpK0DLXevGrUslwSiDNAJlsNlPIxBGYARII0qp4gSVJXtn51W7F74z132dPIg9SusAOf/+cWCPvciPqfIEMpN+nu/byUgGSRLbHsjyX48PVRtPxjsB6Bo9lVtCopAqpTTJl6qqY1LdI2as/kRQ7L1T7F6cN99WGh7KrUuUGgO3MxS/cE9UivIcgGcSJfBiDp8XvO9zLUaxDw0/kycUrWnK3SW4uHCdVfDZJMp4RaZbLedsDqDNelrcoxlKfvD1fT59V5ODZ+3Fl2pFP1W2yjDNkj8Iq79TUboVzkpicqA7AJem1OIy0+hSG4y058hICyDromSrb87k2o2l1lnZHEC7Hr1LguMmB898CKtqOjuGMrWN68ZI1B/89/+6KfD9/+fkyVP7isygdCVDyarjdyVcnTwuKcb2qhz/Wv6+zMcBZ4/ZeOACuGP3fGSC63EXj16pu62DUgW3u1dPWUyV7f7gxUUzg+9FpDLizz/V4K9unYIwBFVDKY+GMtSVycZRUDQ4+05rXJlJdRNRknIyLJUAtYwlStsxv2iFJGv8LXshlTQIo9mxOeLsouShJwISYScPaKEQwpbSrhf3VNmxXK2F+9o4oiYvkcaVL043F9WyA7eza927+28cN6kogaX6uN6eTWtKjZ0dRvLS372XXb/5qmtf/AXv9OnTU/1+7w2ChMD3WLOhEM9+q2omR0u5FpDzvEwAuO7JWA2Ky9qVOnBT0d6yAEMpSZSjvVWx04OzEZUyY5IkrxTM2TvG92IOnZN84IsN7PwVy95F537++wWV8cLS+bvdQFO4LwoAjYFDu7Uh5VxBk7dl5cNNU0WqMi2eenzXq/t87I4G+8/4ICOMkAxTH4+sXiQ/1ml2JtM88ZND1ZFOxr422NlY+WeTGRakAWmsbMl1tzT2dxid+eM6C1Arq3OVzdeVJs57uI9jFF6IqzFp5bpQ8SBitd19gzh3ZspL4ghIqIcKkKRaV/ZWcX9YAer1rJs8wKx8YFEsOxXbzJUlro6V1ecuwG0XSa6/nec5kPNqt1yDO+C2E1l19mjtQKU0Kve7VYKSCSqTJ6lK+NTdTfYfLrW3FNJ630UHDeueQMH4a1E5MS4T5ouz24Bc8cSdiVSeFrY2RZYp/Cj2uPLSEW96aY+jHwiJUgXCIxUeAyHw0sy+y8mH3FERuHxchMC5LDUCZcpSUSPtZ1Qu8QlTpvgFdrc9I9C5THF8cBfsLpDXgN0F8joBpYs7V5K4AE9SGAwN/UFEWBvhbZ61FVdnGjCMJKQgnP3h3Z9YKLd1I95xHe7aQeN/4NpEwPrNDVXWzl/nrJ2DPWfuAujKZfJSd6s8iMy3OJEaT5ZD85VK8f2YY+cV/+OjEwylTz5Bq+yaz1YQtwba1ZNrjNz1bwWBFGlye4CrIxFcDS4q9Smp9khSnzBN+Odv7fF3dzQ4es4DFYP2iIXPQAhUWjoa0g02x0Cee/MG8PILLntPGpueN5iMtXNPXFfY3GS/R0uBMOXqsdZMyIBPCfBK5nxNPDf2fExZuDtGJCn0BilL7QStErwtc21M0sOmb8sPIrNfVAh5sfYXVsBN9QplLJFTPM+q3NZjQBfYYoy180RKFdy6lCiyyuBexd/OwFzxu527tCzuexGdSPMnn5jg7HwIysusQZnJE1PxvYvn7t9eYSmxLhNVgI7LQnnjgdujmafwy/nrRTOEVKSJx7a5ET/25i6/+b6AdmwDAmMkI62sbZiWKW1SQamwS5CX/7dfURlysvlN5aMsHR8pTcngxjl3mWVoCgZ/hoDTwZTOseVi6GuAfD0mz9+72BO0JXj3PVFjaWnA/LKhUbffIbOCm+p6UIK6GuE6lWGujnJAnbcq2X0Xq0AYZ+4c2CVrl1NaC/bO6mdKQDtM7umM0XUhTawc0Y5UyRk7KR49FeOFMR/5dMi7/3aCkfatPBGqkCdFU/GYJVbR3YUkW4cJ1mHxkpGcjGYB+jxlb9BaF9nNcm8kuxV4zUv4ibf1OHQy4L2fslocFKmQDLUNOGVKweBlAVZ+skq3zLUrLahLyWJMxuaiZE1LOrbU1VQSP1bGFHXpGR60S3IVzIgqfnCA/jUWRddNURI2ziiuukwxM+PhjWJFlNj5GMbYugL3Ssmv8coPHwN58QGdD7XWClpbm7C2MMeMSRTjBJnZFt3uloHKdR20I1VyMDtMLsvqwEJ3F4921uDyCvzdFxusjHJwW4D70mpvT1TlSWXVyZ2n9U7IGFeMxzf5CapU9Y1vvajH6sSlRGmF1h5J6jEZpLz1NX0+dneDpa4CGYNWxFg9Pl5dWAXLMzO5zQOVSaG8PiUPNk3G4gWgM59cG8YY255PhMh6HTIpA+UFtw6WKnLl2fmiUAaeFIRKUPMEXi3bIi/0VbY13dg/Eutp77GLwAWwC3q5FuxrAjK37akAjDMiQpqK9i6ttLVBZT6cpgR3Wgkw8yAz3+fGc9jbbyR8+ss17n+ijna0t21qyOVJtd6kaM1y2Nv1/F0rfP2TkrFn4ViVEmW8GcK4QaeRKFP64knq4+mEF10T8W039fnLzwSgIhASIwQj7aGEsFuQ5IGmKEE9Lldya9AYa9fmzK5kKaOMdArFpJ3xUmFuY7FkHAzonMRytjb510pL8xmZW6zFXeUw5gSiIUkM/RHURuBNTyh0LGnV7Vl7NsekAl6XycXYCV6HwXOZkhfFF1JljLGFGGNvUQV26aJkr5XBy0aMSZk5JtJkutqRJLljIh2JIq17EvoxR09J3vfpFhe6gS2plHbQuxKUOzaMxQtrdLfrO38NtinYPAeUw+xrtlrMt2CsdN3b/XPso93+ZFMz5Ye+rcfdT4QcvShBxIBCIxkK6WwiZUGVg1pUrkKnwTz/f5HNzM6Dy+bCPs/BnMuWfCW2X8tnv2djSPLnRT13+Rz3ecHu+efL3jflJVmJlbGJ2tFIs9rVSF/j1XyoB3aPmiQLaNa7OIRYH9TP5Gm6gEbgLJFV3Z0vXcWBL+qrHeZWOeDHQF7MyB5/nhbaO2dxLx8HrBKUTPEyWzAIYkap5o8+OMFdD9dtb5v0rPaW0nbtiHL+SvFZ85XFvZjXYXL3OLpYX5vBLF2Lco93t3zWLaO17WY6d1RSTSI9VOLxiudH/Pg7OvzKHwWMEmkzUFqSZK6K1ML5bBbklREOxrak4Xw++1o4sUHWXW/ASJMFmKK4AIqgs7joTaVeRWTs7QaU41L2mXDmYrFseC+PrDGGUaQZRZoo1njNRsKgnxbLzRqmFs8M7sqSMvZe+SHNmuL3kgXdwT7rsLez/7xcT55IU3R7222ztSNRnLG/ue7OZlwXwaVM8IOELz3o87G7GowiH+peob0L9i4CWyr39bx9d1m19/Wbjl2rKwd2KQ3K4iujMkbX1VrxVEuktlIlB3qSeNQbCW99xYDb7hpw+4PK2oZIEJJYeAzyVTT7lGUlX8bWMvdYjPPZyCzCHNTZ55QUw6Hy18bkI0dM4aJIYZleF9sPZoGnZF1yzDG7vjdeXXXK0o/s78neH0SGztDgpbrDMOqx0k4IQ99WFK5TrJ7/AvcKWleSFN9n1gH0WhYXrt52vWXpOBa5/i32U7evC+1dTEItge2pMaCrEtxeBu7Aj1ntGT59d4OD52tWmghbEity7S1wJkiZNeAu/jbnBFSX/Ge/WS9cFJbceAq7APea4UBljYqUCqlTpPaIRx6Xb475tpf1uH9/QDvK0q/a6vEIRb4PhCTzxitltOWaY7DJneKClNZtUVlLW8nmuVTJEj4iqyEvgF6CUOMcP1MyfEGcX0MZFI9jq0FemOd5kplJhV8H4xu8Rw40WVke0R0YgjCLch358Ey/cP33zdrvKb5uD0TO7nmRUoW9RR5UlsAuwZ374GVwKYvB7KbC2JWAMk/kuC6KtJ3ympS/+Eydd3+0hRGe9b0r7E2pveU6n9slgMpJcGrfnoW9K+lmxvV3zuRrW9mKTXe1RqcSLa0vrqQmTn2k0vzEW/ocOefz7o95xEkJco1gJCRK54Mkcq3ggLwAdaYrsItAAX+RpfRzNifLbGb5E5OtzqYAep75zfhXONpblEFvGRs4bO0ODxKubs9XC1OA3GQ/s1kTXLtTMTur8OamPaT2mM/6DN0BNgVLUT2ROWDXY/QqsKtZvgqDu0Gl817ucefMXs7Ey7zvMcdE5uBWY/JkbM96le09YzV4jB/EHLkg+dgdTXo9H+pqLXsXNd/O6iLKBI9w//ax5/ly+bU43JQawJEDuRYXFffEZE0HBdCls32jtFpcSo84Tmk1E95yS5/PfaXOkfPZSbUDqkmFYGDXGvsZdQZuU4LdFKDO3BKy5E+x4OROSp66t+ytMrCW8qQK9BzYcmyVL46dzDE1HmxSZXlRDVJztkgSQzuBC0uCyEi8VrNGNApp1CSBP55wKVkKF7DZL5LuL38GUOcnXuaaS4wzoKnIE1HMvivdkwLcOXMLdzB77pzoynYb0pElUmaOScbknpcwijW33dfki4/U7XBw6VuAj7F3XuRlKyedYLhYaqvp5xzh4mshu0roVaCPV83JUqaYbCsSq7t1KVO0JBUSlUq0UMQjj9dcH/GaFw04/VmfkbY6PKuEIsFjKEBqZ9sqIQoDO0/9qGIZyh2VrFZcUADfCFGSvbHn1Igs8KwAvcyo6iLZU87KEQJb1uvgqNTZ2fdksgZMZQU1mXbXRttx0MbDiABvbtO21Sgafm6iFfwTo1OqxVBr9XSpsdcCu3BLXMmyrv42zkVkxpZ9h7ELYOdAL8tGq85JVX+rIv2eOs8TpLSdOjJIuPPBgN/6s0lS45XOiVQIIe0+QKJMy1cZ3HV81mfvCrifDehjyZ7xlL0rVzT51KusGEuUjkqhyaX1xoX2SBJNEKT8wg93OHjG484HJDoQGWTtHxBrxQBXUBlHlqyjyQsvPFtt88+bBZS5DhfZBaApR0kYFw9Q+uRjTRAViVJYhFVizY+xKaSN/XqqrZxRStFqtj63Z/eOVXXzDdt7/d7CUU/x46lOylpsx9UoLLLxCr91ZnZX3ldrC6bcIinX0y4rA10L0EnkOAFlUVD1DOB2pYpXSejYXsszy4Lfet8kdz/StJvySNuOhvTxpKAuIZRkm1yZtbXblXvWAF0MyakOI8pr3qUaa5geP24Z45UXvVl7vHMycOYAinGp537NwIbZhNAz3P94wOrA0Z1ZmJlPES8rDnOtW4kkvo6r1bkQxuSXW7foptXz7x23SstNqsbiFGdYZv46d3jKakKDUgHnzi/80MOPPHXQi5NsZdLZbn1ZeilPOa/RQa4OZ+yqFGuZuzjwUMysK6SJG2BWtsWoShO5jubOdxhY967cwDIrhc2ep0HK+z4xyce/3MTUFAhl0Sk8hJSVfsuyv/FZOuYd9ikOzNpzvsYDHyvUrAACqASa1fmFWZCZzQ80GXMbo8saFSGRWpEKDzlIeesrBzx9zOdd7/GIwsQ5iQKjfUZk3VV5fj21JrbBlKDMVmhDlt3MEiaZAWSDzZyRM9kiRXVByM//OPMKATLNP5IoLs4Cb2a9gDPHpsPylEknm5U3eGFgd+ZKsizPM1mCpYXzTMFlqZkk4yA3YxLFdU4M4yN4K2DPGV5kAHe0d4XBZeo4KS64U6RTe3L7AyF/9tkmwzSbgi9yazDLWgpT0d7rpuZdoFcu7DG5UgH7+uxnsuAu957XZDQxa0pojXQym9JxVoSyhVkyK86SmlR7hL7mh9/Y497HAm5/xNqFuTeOFGjjMdK2Ha0oIhm3DjOkFlJKCBS5NHFAnjc9OJo7/54CtBKkMRWSyCtZcxDL7ACWgbqjyYsUf/YiP7rCYLQhSjQIjTEar1VPkFIwGmnSZD1gO2MHxDrvi/WBXmH3PDW/nnOSA9y1B11wi3JnL7VGh+uqBz7O3jItA0wvpj+CX//TSY6dDTFeuVtyRXvnEqkC7DFAsw6YCwjnB5DyQD4DyMc3EKhmNN3iK1ePr61N0TKrOJQuiytEqhHCQ0aaS7bF/PsfaXPvz4V0h9kfo2XxuVI8hnmGJS/u1iXIjQR0BmpD4bCoLKA0kmJPYCNyHW6cJI+TMygsPRcv1ZHTxgG7m8RxD2ulQTn7nzHQH6QMRzEGgxeZOYRRRKYLZtHu2l2RKPkPLMW/K1fWkzD5rmnlGF2X/apzpMtdCdaTKNrxwZ2+xIzNC+auuCbO7ryZ5+15MUkKv/+RFo8cqFnPW+bMXTonvqjKEiWqrC1csI8xN/kJEeXQzfX4eg2TjzknZQOEqy1FttMdFSbXwjJ4EXRqaUGeSrTI7mkmVbTmhn0xP/Wdbf7rB6eI0ozFoYgKUxQjnWvxLNfugLyQKMLJcgq7Qa9x2VyC0CVzy2zKrDGlbFmzElYcEue4shZnMPZ9+VHNeut2bJlhZnrCblH+8lteTxg2OH3iKR554HMoFayxA9cQUuXKcj6g83ztqIBxB6UK6BLwZkymVPdnLNk7LXW5m9Sp3LPAspbyhftC3vuRFu2Bbz3AzPMma9K1zkmZtXRLeVXlc6/V32VMUp1iVe6vNgboMdZeg/cK0A1uAqhk7WwqbC5J3CSQsDZiKhXSaFuvkigmapoffVufh54Kue2rChpJxtTZJ5SCREuG5DFFCXKDLY2lsC2t553FqrasN5cwWWe9K1/y1dtQOijjYLeKo0zcuMxdURUO4VZI19gBVtdffz0veP51dLo9vCBQhKFPEMjCqXBN+PEfUlkeKqzNOvuzVIGdB5OuJSjGZYkjSUqZUu6wawGeVv1uaa1AWeyrbgNLKROkl3DghMf/+PAER5YC2waf+d32UZbs7ThFFZCvJ08q0mRsWpPLCOO3XNaO1aKULF4mVopGCNZL448NCcoLsYwuNpUVuVQRBiE9ZGzYO5Pwz9/e5cQFj8NnBcZzBZYA6ZNmIGcM5LkAVgUgMr8bMhYXRaCZ1yIVLO5Il9x0yBm9QhIVsGdANjiEWjJ35bBmWEtSezUp5aGkwktSSZIKRrEkSaEeulNJs0XVWVnXAH2Mudfo7wqwHVBX/O/qJkYqkyElkzu6W+ns9XgypwS6UilSJgRhwoW24NffM8HHvtTA+KpMx2fSZD32Vs4FuNY5qQbe40kd92SVdFMFfIW1x8Cev7e2JsXV4Tmg3QA07/yRWVFT/jwLPlNNgsaX1lVpjyQ//zuKi6sCQpduBQavYPJSnmQXWv6YsbaSYHQmXwo3RWRBZpXJhbRuiXEaXExRj1IFeLagOKtj9jPGmjWMc9zzkX6Bn+1i7UukpyR+EF6oBdy6aW4y600svebKUEvH1Sifs46sGOu6UeXGodL5tzlwi5XDdUhUaQ0WdSd5xeCY5y3zYFIl2XNbaxKh+dQ9db7wQCOrNcktQZkxeM7e5a7B7rxBVyOuKYt1tLi7ko0zdwH+cS3ivFd1TpxUPaIM3Jw2stxBcfW43axXViZi2aynyt6zz5PEQxjJa28a8qaX9AlEAkkCOr/HYBKMMSQGhhpGWhBpiLUgMZAUQ/rtPqqptqXWqXG3Isx2qzD5NvDZbm75o4Y0zV+bbEvD7Ht1+eje1253mH2G1P4Jg1FKc2KGVItbwzC4IIREbt1+KacOf/GEJ4f/fW7jRnwvIvB1MUNEZd0xUtlqvkoRlDOIptgIKf9a/m+FlRhu/UilG6ciNdyf5b7ngDvfTrqoDkwrzonM6rwTofnEHXXe9acTnFn0IVCWuZ3AUmTgLrKWYxWNlTiiMvtEVABcasPq8ukSePHMrIvxsTfdgTdijSQpAJ9PwNLSaYyQGF3WqNgUv+380altcYtHih2zmp//kQ5vfmUfX2TgNg7QTYLR2oLcQGQsyJMMzIkWJKYEelp57oI93z2uBGnl+ypgNdnW4qaySW3lwnD+TZKDO4Uohf4wYePGTbS7o//+oY9+4cSV+y6ze/QIIjDgq4hGLQGhSFI7/FE4M6yLk+WwWBlw5smcqlOSf60iUdYLLMXYHui5TFGlayIdKZKDWzoBZW4J+n7K8UXJez/a5ODREFqqALVN7FjtnUuTos+ScY+e9TvmnWAzD8fK7N9aKVe+LrXeeskey9p6LOFTuijSzeA56XspLMilMIU3LnJmz+oJhNB26pWx3ng8MuzbG/PDb+3ywBMBJxacpaoIOq0MSRAMhQ0uyUa4Ge3WoZS6vKhRqaoem66X9mvCVGVfseWN+74Zy8lkgambFcutVJ2BvT8y9Icpg0HMYBQD2SZUm7fuQ3oN6mEfmTzOYCgZRj4J2Kh5nGpcveTWoLi6m/L1eDAppKPDHYvQtQFFEVxqSjdFFwFmIUuK9yx7eypluSv4vb+a4I5HamWVYJ6xzMCtJNkOxe4Y5DKGUM4JWM8WXA/4447T13tzu+srVYVuCjtPS2sLKJ3NBjTCAb+T6ZTCoIVBaHustVD2tVD2MhKatK955fUjfub7O/ynP51iZeCIX5MBXYLRHokUhYOSgxxtgUwO+Iws8s/o7HlVTMYyws7EyWesjMc1bpNEUfOdBYLCrD1u2lhwD0bQjny27dzJi266lna3n1+j0JzYzOymK2/75F3nfuvgmQBP6SLvX2Yey7ty9bZyNPXY3dXQZfXfuBQpa0ykct2Ssa6cNdWB+fOkktAZSsMffbTJez7Sohv7tpAqZ+7MNbGz+0rnpFJURXmwx7OXFaZeF8zVOddfD9LHu+vL+op1ajkcu7CULK6FOD6Z1kqVvL0tH+CpTbkHZ8uDH39bl594a5e6TkCnmVRJwcSOXLGafJRp8ji7J0YQ5xLFZFq8kCzu63WkS67NcyniPK9o7vGv58ku5zCPYrjxarh69/HfuvGGfbft2rEFyKohf/2d/4WgFsa9rrgsVOrbPZnv4VKWUroVdG4BlXCeuxV3Ku+lXC8YzWVIpba7tANVxfsuA0srY/JETpmSz3W38DVPHAn4jT+b5NR8WKbis0Iq66AopBDUcgbPiqq8vKhKlXZh2YfpFkWNFUsVxVNjM8xFPsTUDhZ1h5G6ZGG99eoOF+VzQaUuv1gFx6UghTyUa1bRfCW1tRqVcoPsqqkFmo3TKXc/6XNxQWZZxDE7KHutRdn/IyoaoryqTeXCXnuVV4uvxPpfdF86K9y4tMuPWT0w7N02wcbJ2l89cP8d93zLa98EOHvVf/fb3owf1Di8/x7On7yfiabE8zTr7lDrHEC3IMu1BHNZUrUGS90tXCuwksnUpR6XY4GlcLKUY6l4z095/JjPT/3mNE8cDjG+LGVJweDSsQVNMchnfKeG9azB9WRKJbEjcF6V9srXJVdM9WnVFx+3C7GSRGcp8GwYTy5ZtLAXkjbS+sjGoI3MvsdOyBLaeuMpxi79keG6S2P+4OdX+fHfEDxxJAtOZP5hRLmcZHLFYFk1cO3DvKUtkyj5qliMmMh+nHQehcl1fFUiFokeR6a4iR73MNsdrRN27bqCF7z4Fgb9AfBLQJGrhYnJaSanZlBejTQtPQHhgLIshV0/+1hIEkdfV7OTupAiz+iWrCdNZLoG3LkdaMGt6RrJH360yaP7Q1KVyxEnHS/tVJDCFqyAuuqc5IQ1PndwzViIMf0I5etnIbASzGPAdhFusgp+dzBQ+Vo47kpVsrj7beaTafP6FDM2GctaiHbnCJFKbrhyxP/1lh4tmVkTZlyyZHdtSDVEBkamah8mGhJTSpZnclMKV8WxBnMnxpUjpYNUlTLuhQ+WxVutOhs2zDA7O10c14LBpfRQKjjSqNePTk7W9npeP9vxIWfqZ2HsSlLHVF5XA0kbzcv1gkypUUIXz63MSUuZItJClkiRokSCEimen9LX8N6PNfnwF5qMcjCPMTdCInNbsPC819lnx2XvccZ2VuzxIp8c3GuR/ewcvr6TYl+N63BNUW4x5o3ngDdoLRBCFqwujEBkNSrCSOtOGGOf6yzoNIY0NQTC8PbX9Nl/0uO9H23Ri7EHTGdUmD9mDWyplmUgmaXqde7dZ8fWls3mzylmG+ZpeuMcb7QlERtTjskv5xgJIC3YH3SU0ppuUq81jjZq4ZEkjotjWjD4xk1bWTp7561bNoXv37FtgkY4JPDTova6mkofG92wpuKv2nUjlWP9ySqjSzWejXRYe0yD5+AuHBQvoRvBez7e5DfeM8H8kl/Udru1JvYuHPY2a7KVa2a2OMulZAzs7usx1q58TTw7uPMz5hZaFe9VXoqM0cfZ2vHHc8bG+Xo+9i0POJ1ufJ0FmyWjeySpYvOs5pd+pM0/e0uXVpjYbIxJHSa3iSDL5hqtIdI2IRRpG3DGjl+ersfmpkwCVQNPJ7g0ovK18QAzZ/0ogXZfEzY3YFTj/R/6+J23btu2dS2DA4ShRKraZ6Ynh2+Wqb5+OEqIU1UcSNf6G9fXQj4DcxcWocPuhczJL54qc0uhHXA7tqBwyl9ViqwZPv6ZBu/8kwkuLGfJnDXsXc1Y2s1bqwPsK553Duhx5nZ87kr85fC0GH/zf/LmZjRL8IvijfVT9zZVbqdKCbuNtiiBLUzpiQuRszbZo8xWY8viaI84MmyZTvmlH+2w1JG8/9MtqGVLxxomtzeNJMYWWQWOFs8zsSqL49wUfj5/xbKwKZzJfIEQefBd/A6nwM8hhSiBoQ5YGapH6436Z+J0WDmm0n2x9ZJvpTf/kbsV/QfrNYFSujjQa8HtMrcuAF06IGYNW9t0fLUxWEoX3BmQlcPS64BbyhQVao6c8fjLTzc5vxCU4BZjdykRmeb2M0B7WWJivFPHbYQuwJwvj5UXGTuP6e+vU5UUYH7Wrzved0VzuhdC8VhmNSsVh87AIJu2d9P5VRZPtcr0uiKJJFs2pHz/t/bZuyOyaUKTM3jG3nnmM2PyPLU/MpbJEwNxdk9MptFN1U7MJ6kVjO5Yimv1tqiscvnimGiItc9SN37wv7z3i3f/8Pe87pkBDjAwlzLgMs6t1BiMBHGiSLQogmmXkUtwuh3vVXuvdEFKnT1eBrum5UyUGcsquLOu+EBz9JzHf/iDKb70UM02UFa8btf7tp53PgbCk2u19nrDfCrfU3SAryNT8nLOvD7ZvY9/v1jfJcmvimr/4fijKKSKC+QyAKt+zS3KMlgAmTyln0sTI5wAVJIam8rXWqGHgle/YMiv/VSbS7ZFELtBZlqCPAe8MRWQD7WwQM9T6pXnZPvpjKXwM1lS1K446XntXNxgicr3IPQ1V+4RvOqmrdxy45Y1ROGNvyGnvg2lvOiBO4fMeifYPCsJgxQl0uLKWTu/xJUmOlteXJlSDSxFBvD8sWIPilKaWHC7rxOUrzkx7/Ef/3CSD9/WIBLZblTC7a8swS2x7F3Wea+z/bYwayQJ64CTMeBWGP1rEbf7xWfwegVrtbh9dEpm89dOnbi9WEyWQcwzm2UjhNQW5FrYgFMUmVCZZUXLKDaXLImGmpfwjm/pk2r45d+f5OS8AD/7TJpSz+XbH2dwSo0oAkgyi1Bjx7zZ8LScR64R2Xjm/MdZDZL3cZoMbyK7yPMDJZUdRLZ9TvKd37aFV73utVGaJvzGL34NgAt/E83J1s9dd+WVV507tvLKKG4T+Pasuv50RVdLU5Ut47pb6uzAub63rmjwHOD5+0qm2YXhpOG9lJMLPr/w3yb5yO0NIpltvSbWu7sZS2d4faa115UmjAWbDnLH/e8KqMdp++9xG8e1Wxe+Nm2fM35ZjyHG2Dt/Tzha3OpwF+TZONhM3+oM3HlDcZIYfC/le14/wFPwi/9tipPz8ijFPwAAKtBJREFUAdkc5upFqMnManvsNZIIy8C+FPiVvyXv7Clb2nLCKbV6ls7Pf7YsSSCPlZSEqckWzcmrvjwztfvnYHXNcV0jUa7cM8HyiS90dm6uHdw4SxoGaVHJV4DRrRtxmLnsfK/ec2ArV2fLZwa3lKl9XsiUBKlSzi0rfun3J/nIbeuAe40taA+iL6tdOuuxdw5mN4sI41JkzP9el5yr/av/M+geDzDHffHyTYEuvteCN5c7muoQ/bLisNymr5hzmGvzvPLQSekbraxHbhRJIvFSePu3DPj//lSbLbOx44mP+ePFXWe63OruKHNYcpclySRI4qb2s/LaxJUnRd27k77PtXoKUWzoDmXaHwUHP/bJWztCTH9tgOcn1qTtn9o85z3erNs9Jct5f9WiqHH97NaS5I0JakyPr7ECx8BdZi3jzDHRpL7gTz7R4sOfbxApF9De2KMDbrE2Yzmuu6u6ugToeuMhXP97PX1dbnkn/mfxXc1mrknqrA20XEbXprQHXQavltiWnT9Wi5fALvR4BnKrxfMgVKFTiZca3vH6Pj/65h5empb24dcD8sxGHJmy7DbOtbjJym4rCSEc4Dt1K46ej1IYxYKUxuOLy52fGp9r/6wAv+aGb6FZ76UbNu0xnieKjVOrHeymCmblsvZ6fZW5Y5IFpiItGXq9Lvi8iEpp8AS33l3nA7c2GBVF6S6gHfamlCblvjoOoHGBboqajMqwUTEGcoepXa3tAjr/hjVlsl8PuJ1vrMgUh9XXuCbkvjhjF0A2/coFttMcUQk+i8eyGCsPOLVWJZtrC/JQG777dX2+5SUDRKpLb9zE1h93a8pN7IDfxguxzoq1jCAywnFZ1mNzHB/dAX5q4904AYTiqn17zeJqkn7HP3n9usfXe6YDv3HHq9DJ8AO9lYNXmOR002Qpq6qXrcvsZCXgHAskC32egRvt1KLoAuz2+x3nxNMIDz55V42f+29TPH0szBqG1wG2G1iKPFs5HlhWEznVcRBjmbMCs9Wt8MZ1y3imzQX11wT3WBpzrTxxPHDcwHLME8872CsNyqbyqCt6HNCZB47dVViQB5wyyygatFZlCasxmBSu3RvzX/51m3+r4NN3NaweV87fYcU/aDV2YOzmKYmxHrgmCzCNXWG1sAVqJvtOqbNufe1aufZcJNqQaMHWbXO9b3/Diz/QatT4+X+5/jGWPMNtYmqHuf/RB3/v4vDSxeVOhO+tMyZtbE6JdOy9ihYXrhxx/W2dBZIW2Dm4lbCrhfDg43fW+YX/PsnTxzNwr/G6q9JEyCyoxNmZIdffjIP6WeTGeq4Ka+/rsvUYG6+P7md5f6xGJXdK3Nfjer2Ssoc12rvwxV097mpvt27FKbXNO4TSnMkjyVW7Y37rp9t8+yv6mZmt15Eo7j33zDVg61jWsPmaLGj+WhSvc4YfJZKJVsz3vHnX4vlzD/7epZdsf8ZD/YwMDjAx8wLSeJV25xG0XrGgE1RZ+hkZe4y9i6+5oM6Yv2BwC24rS+Djd9X5d78/yZNHnwncsmTyjGn9QpqsHd6Td+FUBmh+LbC7mB2zENcpHnTQ/vXr8HH9WLC18/WyLsWyepEprLC5KR0VsR6b51WGuprlzFKLIvslwkhrpGTNEnbH1rJKhgiuvSTmN/5FG2PgU+sxeeUSleUXjT1nBkiygFkbu32nh8ADUmwiThm7nYoxJYNLwf+vvS+Ps6Oo9/1WVfdZZs6ZfSaZmWwzmexiZA0Juwoo3nefj4vwuU/08u4HlwtucJ8+fTyvglfF6xNRFNR7Iwof730iPGVxQVQQlCAgWxJIQkIyWYdMZl/O0t1V74/q6q6q7plMQkKAZ30+Z/p0dXWfM6e/9evvby1QwTGvrYjVxy9Ha0vdtL/ttABfMHd+pTK26cOTZO5PSLW/VpWtTYA8Bdgm+JW1JVQoSczBo4kQ0hJCJef+xaM5fOamOjy/I5MObljSm9qxJiqBQYs5gSm9E5TEUBgtMNtgh5n4oGaAuXtwiKuS3Al6ghi4oWk4todDpx86R48tKrGUFxEtkWZCDezKbKisK5olGpC+DM4FQAEiGAKu7EQAqgLHdXn4ykdHwQXwy0fzsQ0v+gd4GMXJ4n+IKLDLyvmcyKpXASQXlz4LEnmceUhVVKk3AOABQVPT/Im+gfyH5y/orhw2wJno4w1N854QOHN02/rHahfNIahUndCkxmcAbM0GHm5jya2ZBBXwGYdgBL96LIdPfqMOL2wPXfBpXJsyA9yUxA4d3RyYjPM2pXeqowcK7MQCOzGkvIJyBPipeIvVZ7EQ7QCJxLUdSmsqnRq49cnAtUuEeZwEMdANG7mqcRhycWmQllKch/XXiFq+IeTkFJKNyDRFBlL1sWKBh69+bBRCEDywLocAIcijOsraFyQM0T+nnr6hVZuLJNA5kVW0nJCfEwFMesDyngo+8L41o8sWznliT9/LfDoM0+kOsmwbinX1B8YmKxfVt6zxymEci1EuTQuIYsZ+oEX/aTycxH2EBiCh5YRQCe7fPZnF1TfU4YVeFV9CYVARYytfBNBqm8ShsGlFMw3pjXRJboI82Rdh1xqn9x9qE9Yr6tc6Ew5OaDbvKEbcrF8YpcDpFhWu8/CkdSXm5aFVJTIlUojQPh5ZWqoEy+d7+PpVIzj75DIYD0xOzm0ubu1zNUbWx+BcWlYqXC9ZIZVTQgAGD+eteYtHWPmiQrHhQGdH67S/67QAb6zLYfDATsztfPOe2e2rXqoErXCYpy0REudGxhVd9YSEmFsr+mHEmChXPBMQDsEDj2fx0a/WY0tvBlHeGJlCqQSNEGZQE9jZObr3Mk16T0VZkmXXUgGtA9+eAfGQg4I7zX0feSxh821lD9dt5IiBDQ2wPFY+uUFd9FgWpVDGSRK6eZFH9VU0u7kCeEAhqgSL53n41n8fwdtOKYMFCuThKxXk+laVq4ht6FzECRXlMLZlssrR017ESctWvtTduWzPi9t2gpDc4QMckIkQwdjPe2tzYx9omd0FSsfhur6WGByXJmZMB7WWqEACKxOHgxJfSvWMAHcIfvtkDp/4Wj227MpApHJuBWhFS8wY7/hRNnWUYGramZ67aGE0Vdm0JLkJXmGMk8enhrdIvAl3NTGuP+HjTxAx8DksZVST2trEMJOTdYlNzX3NihJLcT2BWU0WBXgZkSgqBIvnerjx6hGcc0oZNOBmgJYh0VPArb8P1DEuY745MBEA414Vx61chP2j/ge+c8ejvYwyHKw5BxvQ2NyJiclx1ORr9+19gT0yMvTsGQtaxuTjgvpR3RLFweXNDdcNUAomNI5OOSgCyemywM4BB+ueyeDz3y1iS28GIjONjRsmuAniMFgHSGTnMIOamNnxUQ3zBODNSRChWPNmRkU1dbqiTQ5V3sCQ/gf5nSNMi/hCQuPjkUnc4uBSQSXaGGFxcURKppT2pn1ccnelYEozaxwCQEKuLsvCyXITwowHDxkwJQDxOJbO9/DNq0fwue9x/OnpLHYOAMgo3h2+FLFXZWgR1l6OftCwmr6+OEEQYPVyF++9YMEj55x2xr5yZQL5XOGgAD+oBAeA2poCnnn28a1lv+ObucJZKJVJuByIXOfdYVVJXZQHUrdnEz0qUKMqOWDLHgfX3VzEx75aj807DwJu3TQIE9yRQycErV7jRA+uUqCcifUkIe1T40yIYWVJiHW7Pw3YtrNHA7y+hd1vxJxYXk8A0Lm1WtsH8WTgwubhNHzFWT9GhSxdwusZQSmSfMk8Dzd9cgSf/cgoFnV6kmdAURYlyXXbuVVVi1fDVwUIPCDwkYOHd5x6PLpnN37zmaf/uHUm4AZmIMFVW9azAI7T9MTY8MDPxPj6d7v8aTBGkclIB43gQBAQGf8lIKW3sp0aVhaA5gi27nFw3XfqcNcDeZQDCmRtcNMk2KO6ghKAuiveUCxhAdsqlZDWZ4a/xkCNulN88DF1ITioiD6ElgB1wjOJqDSDEaRFFLDDyEBD+qt+aJGHocUERHoqQ9DT8OkRSXES0xklcOMkUTn5uSBRCC31A8xq8nHpBSVkXeDabxexbY8LZEXyZKH/8KF055CGcUIA14cIJnDCyUuwaNGKnzW1Ln/Cp6Mz/i1nJMEBIFeYBcZe6m2YtebjT2+vv/fAWA4Zt4SX9nFs3kUwXuZwXLkGpS6xiRafQihAMwTb9rj4/C11uOs3eZRhg1txbWq+ImsKokAqRqR3Ui3WGi99KJJ0A9pl0/o1IBsxKLaET+Hq0TCiAf5wkKydayc86MNNK4qpVEZ9KfEnUS3DlOQIQ6KDRNJcr3moeLl+TAgZGmtwek4RlAmyguOit5fwuSvG0D3Hk25KYSmgthT3PdTly1g6fwwLO8YAbxLL5wn8lzNx7+o1qz6+ec+B3p7uWTMG+IwlOAAQdwl2br9/Z0/PuRsaad9/uv03m3DLj1sxWRJ46+pxXPeBUdTl5DqF6hYoLg5CQLMEO/ocfO7mIu58II8KqFr5ygK2RUmospfKv/YS24pvG3W9I0CKRGVYtciLspwgcTwJ7gQt0X8Xm2wfojRX3DvBw7WtXgErLs4pjONCl9i6NzS8jqxynHQAxY4j6QwC5EI7RFlUKMA5h54KT6L+8ANCURnlPwDgnkDe4bj43BJAgM/eVEBvnwu43PoHw/dcoC7v47rLR/DWVVVMlAi+cVsWg6VTccoJb9vw/Ibf7zz/zLMP6bc9JIADwNwF8wF0f+WeX67vvuXe/CWP91YA34f/MMGV75lAfWcgH2MasEEpqpzgqWczuOXOGvzkgTyqJMz8Tdi3Uxw6mklQxpRY3kqdbxvvrVQ0xNzajvu2eXiCgth9Ooe32uGwlQiIBv1QINDATXS3fSiBiTD4tRoQrR8f3grlMZVeeCLziIUIKYj+NIjpivzgOJFZrioRLu/DpeyRzp94yR/KIVeDQIDAB7IOxyXnlgAucPOdtXh6U7gwbSRBwm0AzGrycf7pFXQ1Z1Equfjnf2jAtsH2H5fd1V+hfPch/64Ht7NY7dprv4W6eW+q5Artv9i8afisLLx5VQDvOG0IF54+jqyLiIODEBBGUBIEt91Xgw99qQ5/fiEDzwB3Mtw1PYEBcW5lCGxHJTNYy4zEGfOqWJGZUByXnLNjVcJYB/u4KremxkQPGxVpqFZ4CEu1kbiMW9wXH0+zwSt6ZVh6qDnp5L55fkynSJKW6WOsPntfCSQSzXg5VYl1fejH1ZOQmN2RWAiVcwhJJZctDHDh2RUMjlJsetGBx7VHYfhBAQcWdwSY21zA3v52MLfzDyuPX/Setuy68RXLzjn6AAeAX99zJz511Se9s1YtvpSP7+ha0bUP//R3B9BQK82c6mZQF5gIKH54dw2uuaWAwVEGbvBpqoHaArvuig8BosAdJTHoy/xZK6NFx7TyEKreoAlefUvigCxjSyJAx8DSgaZqDqYAnqYDXAdYAqwkeSxtYtApQa2v4x73RSCMxuslirX3asLF5RSiA3b4QiK8mOjWJvX8k08hSgQKeYHTVnoYGCN4YYsDz9N5JUPVy+DRFwqozbiYKPegZ8V7tk6UW9fOnnvB4UD10CmKaiuW9UAI/nhWnLA67+3IZ51alCpVuKwC6lZAGPBin4N7Hsrjy2sLGB5jIbpUYe04DiHdWqKBGzLXVXkpdbDGiQwWJUG81WPAEYFjGmUzcdMspTO62dqguHuK/emJixlrkmIlsbi2ojJR4rEyviuKQWKFU0YYhnmXAmCRAqubGLX3RNUZp6CCS12Qmm5/DqJxEkR0RdUtB8LEZ1BwCFDBQbj0UDYVA3zhw2PIuQL3PpTH1v2u/H0cB4LlMVjK4dZfZ3DN5W8pNbZ0P07pjG0hiXbYZxYKBeRz7Jqlb1pzY19pQXlkLIOql5WAdIF1GzP4yBcbcM3NRQyMh+COoz8shVILvLHATxDbu5Viaa+fE7ng1ZmKmliPZwWzhBMHSuqZ/UTvnwbEiYMkddS04J4yAkszmZgxKjEgo9P1Pt0bakQb6t5MXTm1QwFSrCyRlzPk4oitM8nYFs3aollZIADuCzTVcnzpijHcdM0wVi2vyAgrwUCdDPKuwDvPml0+722n3Ugou6ZYnJnNO60dFkVR7bovfEnUzj/jkapfYHOa/NX1+f0sny/hsecdfPrbDXjwiRwCoYGb6BJ7OloS8269WKZDhLmWjkY/dOoRSXaLY9t0hWj9xKInBjWI+olmjiTReYqnRzQCGhXReLlONRLUIoWDq/HJ2PX4GtSKcEy+1+hFytNtyiAzfZJOee2IbYfUR3myY/4d1bYEjPcA4DoCC+f6WDLXw+Zeht0vZwHkcPab26uX//Wsr7TV9n6hefaJ/ivB6GFTFNX+6xkT1Uy24/rxkX3Vp7a51/3xuSy96+F6PPNiNjTsK6O+aurX05MgbV5OInAbJkE7YQFmAJW5rk4sTO2YE93hOJMbbkv2qYhHfMNTDs6gpUUTAiZl0a0sxjGVCEGUq11+H7VIuBEnHp4XOYOicyTXoEJaRigVZjIz5FIpAKSphFNpUQSPpbb6TkKdS2XBiNAKQ6KYgdAxSAhOWxHgW1eN4j8erOK57Q5fsbDput37F97w9OYD1VeKz0O8Bent1jv+HfXF/IqnNvQ+e+MP/sTGvSLgBtLdGlShKh9F6DIktSqSqUoch3EmROZVZomuVNoVYfXFo+wQWV2Ci6RSaY1TCqR+PUJIwpJCiCpur0n1SKKTOPOEkkjSE0LAosL3JF3BNfpEWFwpVqBp4r0aEy8PE1uNrIUGoslv9WvvzVLYU9RuN+q2xyU/SFg9gWglQBjTwjNoHLpBCIeaVZwzeIGLgGfAKMFEuYwhekHgO4tWUjG5ceniy14xNl+xBAcAjy7DJG1+ce7ctive9+76W+544Bk6WA4ghADlHlgQ1q5TTh01t+w471Cqk5CSKMVSz4hPLdoD0/6dLsGtPvUt7D5tytvKZlIikJQ+aE8IEl1HHxS51WFFFBJtC5tfm1Jcd/AQoqS3VgFLd9FDmMokYimrXPfG5wgKQbiq/xMufqXZ1QWRS3VT5dqnkXNHfq5MXiYQIQ/nhk8ncCUXh0cQeC5K5RzGSwXUtazhXbOWXuHUdLwIDB0JaB6+kqm3D150PBa3VaofvGTN2gVtmX9804IGiEDAoQ4uPHsCN1w1iM99aATFvA9VvCZ6RcBWimbsipfrV8aLs+peSpWKlnDiJF5iarBrKLfpiY1anX4Y1hUDygAO86EopugU1kGjAKfdZ/CbWKmzQ2djIJNwnGnF4QlXv6ls6kqn0AKx4pABWWw/zuKUn0OowFiJ4vPfrcdVNzTip7/PgnMHQQB4ogP7h1r+0ak5f+3oQLZKyFlHAppHRoIDwCnHL8K2HbuDyy9957ZiU9NY//CDxXktg/hf7/OwvNvHwISPRzdk8Mt1rhTLaRYUSJA6QFT9NRkCq1lQkLSipHoxYSlRCgLWcehbJENi5XFijLPjUZDSf7AWsTeYQIsleRw6i1Ba6xYSokn+2JoiB3AizYJxPqfFww0pHRfZ51A0W0SrrYGHt4pLV75SCKLEZU4BKsKlJ6n0kgohJXj4IX9Yn8Xa/1uPA+O1eOgpAEGAVcfVorP7rDGncM628uSeoL5lyZGC5ZEDOAAUavMYHK3e+zfvWHPlrDr3xr0vPdgUVEsYGyNoqhvCxeeU8as/FiASVhSTmmQ0yS3VUavcg6abpuVTTktNEtYEkgJuE6TpiuYRUGCEeZEY6BKxAingj2JNLNs5MfM0deCrY3IC6EBHLOGVGRHmUwIhXVGfa8SuQMWvUElPCIcgNIxQlLXIOQnt4ULmgP7kwTwGxrMQNUVUPIb12xqw8sSzB/MNJ36iPFm6N5vPH0lIHlmAz2ptBgCMj43d/s5zT3d6t+IrGL+71WX92NNP8ds/Z7V6gkpyx0olCwHOaJyd41C75JrQSkCk8G6DfpgJDTZgbb6td01FVwyJTpLXskFPppkFAlNMkpRgK5ufR2jT4lUUDdEnRwR8EnJtVU4CMoaF6Jw89H5G8SvhI0EGXMnVHKTVRMW4hIEoNPw+IAAPiwhRHobXcnAi48URULz1xAoeetLHnuEArU2NOP6kM/oX9Jz2P8Ynvdvr69txpNsRBbhqhWIRfmXk1sVLT6XPPrXhyy/sXt/6nZ/W4v88UIBwNOtJuG4lENcS1AHNaLJoprIsSMke+UKTLytkFkAC7BEN0Y4nO0JaYlEROxXtcOlJoqWgPmE6NLyY8ftYYiswQyqfMJVNAlU3RW6B+DpSWZRfQJkR5Q4Fie2HAOfScwmpRMYOHVWwVoRgD1d0IwKB5+Bvzy2j4vXj334qcOEFJ/a/7azTPjNRqt7a3DR9fZPDbUcF4ADgZOtx49q1azmvDV7cvvJrP/5FX5PPCeC6AM3IQBWimQQJkNEkd5ShgxSeDdOTmZDe1FqhwVYqkQZ2i3+nKZl2n/GGRALVBP/M0G5ECur7FnB1qhBxdEMyx5aMaGx0oTj6UKcmgLJxh+529Z3U5yJ8JkTRhrLsmgxVUckOiqerhAYa8XYQCTOfcOSyPt5/Xhk98xoGFy3xPjUxctsPOuf/w9GC4SvzZB6s/eqee1BceMlzHK273rHaO6+hdm92y95GwM0iyquMwB2vfmZXg41ivSM7dBLctmI55SoORmShFsCkeTbjKEEtCCscH30mJeZWeTx1jya1PZrWZ5LkBIz8XGm6AmBMRj28QNcnzLH6GKLRqvg99H2N88Oa6PGDTGgTnkRb6Bs1loQx5Vyuu3r3IxTbB08eO2PVgitbmsSP6lo/lmpAOlLtqElw1b764WFeqKn58eBwq/+bx4Mf3v90KZd1GSYCOc8VuPWSDya4dXd6EtxJoFjZPBqA9BtqyFmLb6dyb+1/suNV9HaoLEVJbJLYSVcoFWh00iIs6Z4q5dX5Gv+O41u0fSK9oDT8QkrCcyDKMqMhLVGcHJyCEg5BQ7oCGh0jnIOAohJk4fsE+ycWl/v2L7786b2z70IwPm3RniPRjogdfLrWtfQjeHF3OVh8XO1dlC259L1vXVCe11iWJSQgwZ0hcdqZ7siJTIIpnkpl+44oTJgbaFBoHbD2Sx2z+bYttSwLt66MJrj7VDPiYM2SYXoQVXqeWjwueY0Y0UK/VhSIFSuVinJEn6nXTDGKdwKx7VuzgVtFPfVkZlWKmQDgwkfvPge7hleVly9cfOlAqXDX3Pr+4LqPXXo0oQfgKFMU1dau/TnaOt4vrrj84k1rv7Zt8wlLx9/14vZ+d/9ADYpZEedX6pI7dENPCW61tXIsE7UHaYq0t+iGSW/suOuUBAdKjOuQKFgrjY4Q47pp8eC2jqDohPHkSaUtJl1B4ppyAAWMyRzRF3WO8dec8dFkF5ZeEl9EU8619yH4a3IBNvZW8fCmEzBUXvrfLv6bE++Ymxvk77rg/a8G9F65KfdQ2sSef0Vt57O4+fbFf3vf7wdveXb9YL1LBapCat+6eVAuhzI9uAmU5NaoCZLc3ODgKeDWeXkUMRi+mAVqOsX7KOnBOE60CUJSzjW/YxRMpsed6N9PxaCExwhRsShmDIu+snQUi6IvFKbGRHEo5nHj94zqTUIbb8e1qIplcRyLAOB5DK7DETgNB5yWDw3VN6/8+8Cv/mFWU/ZVw9yrCnAAuPamb8PlCyHI5PuDysQNjz/7fPO6TSMAcVHjiGhNHRVsxHTToAIDbEmWLOBjeDYVcGAC3AaP0R+BJga4EYQVSnQ9wycOyDp0gJufqQKwhDFWT7ljxjE1EULnWCLACiZILbAmAE5soSEnTDzODMzSge2wAK7rw/c97B/tQuvsNw/UFd2rM9suvS17tiCBD1HMv3qwO+pKpt0+99ErAQBDQ8O3Ocxxnnq24forv/Tb1t4+H/UZCocKA6RMl672IzpMqUoAHmYfYDxRp1A6tfc6N4+uE2tsSbqtfbDVpnX0iORx20NJiOnBJOGgKPTUOqYUybhfOnpC1mD6jbToLaE8PGpEeIIMepXBVdE1lAOCy39QrpJMASLgEyCDMlgmi2r+7f1zes75tB/4txW7oX2zV68ddSVzqtbY2ADXDb5/6slnfeay95zXv6i9gCytyjxAKKoRl4JQy29L54++NmcafzWbxSqn6E+er7vx41C+eEAS00K7NsFMno+GW9z+YqHNOeXypgJJ1LU0RZKY58S1w4l9qehzonQEK7tHKZeBUh6DcD2fMJtH8fOAE4xPUJT9WWide2H/KSef8RlBvO8X646OE2cm7VWX4HrL5esxMjq59rL/fLrfUZf9+q9+83Dj+h0H8PIwQUPWAjYRBpDTWpoEjiR3yniB0BymPQWiS5DkdYnx3hxAtBGH/AC2gJrwZqaYDtMcPYl/boqniu7NJNF+fFokqqOO0LGjDlFVhF8ecxhHxi2jfziDKu9Gx6zTh9y6VZ+k1Pmhm6k51F/jiLZjCnAAqK+rgVet3n7B208aDCp7F550Sue/XHvz0y7LEbiMxlI7pCq65NKlm83BgSTI1cs2Edo271SE6ucDkM4OYkyeV8IsFRUxPJZav01RoI03PJ5WX3QdxJjVqYxAuOqD6g3dl9H3AUwTIiAXiGIcDCrMIkBeVFFyz/Q4b/lU46xTtzGW/7njHnN4vfpK5lRNVJ8F3MbMY3/eddm9v9l281NPPkPGJsqUEAI3XK2bht/WD+TSclGGOTSrSgrITatKel2ROCtH8X1bGUxXFg2LDNVyL1NKSNhKJkn5DoaiqSmFcV0WzTJilc1QVpVonwrrOmH5PFuhDKt/wVI2gRjcASfwA2nvplTIpSUZl8uGszyf27VcjItlV6zbfsIP5jbsrl5w5uJjDSkArwEJrhrJrMRjf95Ura3tvP2U4/hDxC+9Z9NLL/9zb+9e5AsM+QwBoxLcQggEfgxwW2JH15wZDTZc16kHNXe0TZPiJ4fG7ZULfaZxKEBMFTTpLbSvlCbBFVcR9rlkmkhF7XqxQ1SjK9p56l8SkPy66jH4AQWjMkMn41TQ0DAbxJ3zT25+yU+6mjt3zZ21o9rYtvyI4+Nw22sG4ABw6olLAaB043fv2vK204673skWMm1NhWv27dnJco6PXJZhssxRrgq5el3IHZX5DzCtKTNu2qM96czQdhOWFXMMmfKDk526p5LogDRCYhGlodlAT0QRRufaB82vQRLfS9UvDKkJACjTIZXMO+AEhFBMlBjGSxRZB3CbGOqa5gf1Dc1frJJl11dKO4Niw5lHGBGvvL0qnsxDbb+67w4ct+oCcc0nLnno7rt+lM255BTwcWdWI0fG9fH8LkSPSwGNSqjHPHQbubxmjD0S7+sv3aZtUBGTZtieTGr0pXstqeLq+rHwm9jBVREIifU/EP3/iq07sb2fhBRDv57t3EnqKYZJKLyO9D0IOEzAYRyuGyCf8fDUZoJ9AxnU1Tdi2YpTKstW/tVXW+ec9tlPfuztonv5JccaNqntNcPB09rg0KgsXSDw5b69O1b3br6Pvjy8f/XVN5WctkIGDgNcBmQdgYwjaxUqb2DqP5vCrVWxrdgLGXJxnRPr/Ft3/hA9c97k5Qp0Jg/XxkCbTND4uAVEvTKAckoxwwlkZtyziKPbGfZqrJjm94mB7boBsq4P15HZ8TW5YXzz7m7frzSt+9Blf80X9XSt833ymXxOIJM7dmbAg7XXNMD1tnnjD9DcwIrPbKp+76b/GLh400t9dGi0hJZaB/V5gZwrQa4AYy7KFP+z0gsYeywZi0Nk45BcC+xaWYl0T2a8r3swiSZddYAD6XHsU4cPWMqmUXdRGJOAshjIqpQEY8IAv0oFFtAWqQqpEaMcGUcgl/VRqCmjNjcOQQpwcnP4YzsW3bF7qOGDtdnK2JXvvfhYQ2JG7XUDcADY8Px21BVyLetf3PvxW+99/E19+4fe3bu1F3MaKIq1DBlHAlSEiSd+ILm6srREUpuS8GbrtUdMC4pR98SS1uaxtAqz1haYEcANqa6BW7eSxAVE9cq5cXwJ06W2BXCHxfEjgAS2H1D4AQlX55BWmGyGI5+toKk4jM657aBu88+QO3eDk1/wDRFMHqhr6j7WUJhxe10BXLXHn9uKhvra+Y89te3GjRu3vnvjhg3wymMo1jhgjCLggO8LVDyBsifXN6eQYHCYlNoK5IyakpoaoNYkt1bcRwe+Kc0tro3pAZ4IM5hKihtBVlr8SQrAVR8jMqWMsZh2MMblNoxBCThBueqgUqXwfBrqNRz5TAWtzXnM7+pBW0fXz/KNSz6BYKKXOCuO9a0/5Pa6BDgA7OkbhOs6PRtf2PbmifGJj2/buuXMXb1bcWBgFBVfPnIHx4D9o6FUCnm6sqkzRqKlOJnBwYlFEZL8OwF23fYNk5JEpkWYALeltrFv2MFhAtmiKbLMetyvV7diVBgAdxwO1+HIugFcJwCjwP6hPAZHMxAcGB7jYG4RK5b3YOHCroezuZpvNDQvfI4H/tZsTfOxvuWH1V5TZsJDaZ2zmwBgqxBiK4ANv8sE7aefuuK7657c1PPgI0+z9iagZ34Fj2318ML2PNqLMqFZhHYj01KhxTGrfpi2cdN6ofcrqW2C+1CaEW8SGqMFwgQaEicnpLrdgTAzXmXkaB5MgYS3VzppArQ0jGNjL8ef1mfQUAN0zxHomLcyKDQt3Zpz/Q91dq3ZB2ALOdR/5jXWXrcAVy28AVtKE8NbgiA4f6Lqdp504vF3vrRpXV1Hw6ZakuvHxp0M1SCDGlXkXZnYEEtJ0wynXR/JHVvyJvh3NJYkbduITYR2jInqUoF6qhRa7HYn0OuAI1IWdcWaRAnH0Ro8QvNKcvlEC0QZv19PsemlGrzrjO6JVWeeNsq5d5GTn7eHUtb7ege2aq97gKuWr22A7/PeM1Y37RoanljR1khOba0//nvF9ucLvQf2NGzZtB8ZRy5KyzlAGIkUztj2rOWzaBPBvtWxpLbNf/ZIFWxqYZyYWz3mQw1U2e2pBfGR9OUo76W6DgeBCKQyKhjABYcXAIQwBDyDoVLX2MKFKwbPOft4Z3Yj+0DzrO7HcrnaEUBwQo5ZkOkRb2+MaWq1sZG9AFxaCO4g49m//7uBwbGrf3zX/dXt23eQydLk0pExL1etTKKulsJ1CPxAooUxIs2G4S9jxI9o9nHGVLXYeEtpPDmioCnNQBlbReL3qhlF68PPVtYSqRCHL2aZCPVy0ZBgdhxJxbgAqh6B6wSoq/VQLOZQ9nLlmlx+0+yOBW7HgpNvb1h82f9+9P4fZrs668rlqs+75ncc61t3xNsbRoLrrVjfAQB8fDIAo/T72UzlVsdhWHXyClZXV7i5r39yce+OHafDO8AgKtixt4zJSQ91tQ4clxnVV5VUT5MEkTVFAT2UolwIuSR7FCujRYRBo0WIgc055PKLJKJd0sspkkH7eiSlug4PRTjjAVzXAwdD32AW9XUF9LQ3Bu0dc/5Qqha3VCsTVxBSCRwnj9GtPxJ1jQsmj/X9OprtDQlw1Qo1USSCko3+/v7hD2aymcbBgcEvPfPkQ5nh4ZeCCmk8wavgRK88CIoyKAEGxwQoIchnWSR1VVF3GT+ibOBS8rsspBUC8HyCAAKcC82BQiI6QULrh+LWvpCTwg+ELDkdZnkQQsIl+RACP9QhVHFNCrgsAKUCe/fLypjtrXnMbm+Dx/0/P7/Le6qjoYctP/7sakNT4//0KtWhTK7hWN+WV7W9ISnKobS77nkQBDjT973zEExe5NDqkonyJP79vhfQlPOQc33kMtJpVKoAWZchn6NwXQpGKRxGkHEJshkg40rATpaAsckAvi+LVhIKMEbhMoqMS+A60lRJogkBjE1wlMo+BICMS5F15Wcou33GBWpzApT4GB7l8AOC+iLD7BaGtuYq+saWI5OtR1tLfnNbc+7ObNb5tRB4eP6is4/1T3xM2//3AFdtcHAIAM4nCBbu3j/Ar/riT/hZK5q6erraPj02tA9lTvCHJ3cD5RG0t7pwXbkaBaME+RxFoUagschRyAd4bhvFgUEOxhBFC7ouRS7LkMtS5LNAxonpBaMc/cM+1m/1UJsF6goMhRoX+ZwsIl+p+sg4QEdrgLkdWRyYaMf4hIvFPZ1wSf/1sxu2bq+Z/T6azbXTXJZtA3B/XX3jsf5JXxPtDU1RDqU1NTUCwP1qv/9APzKZTENf38vrdu/IYDKAV2xceFVdHufWFxg453jokSfA/RJc10FNXmB2awVtjX24e52D0aE8OpoZShWBqsdRrGWgxIXLGJy8QLEmQNUDJssUbS0emDuM+x6vRVdrES0ZhnzeRSEPtLbUoH3uW+A4DE11Ag1F74EtO8a/XjuZd7t7lqO1dfbDVa863Nz8+nTEHO32F4BP0VpbWgFgGMA9ALCjdx8EsIlRPivjEF6tevjjnzbC41Uwx4XjCNTXTnpbRtZ8vrmd/1XPAuIt7HSxb8DH8FiA1gYHDQUHrkvQVMcxq8nD4KjA3v4MOjs9nNQ27i5cUnPfl7+96/Pdna7rug4yGaCpsRbLli4Dc1zkMqCZLHm5pR3bQ0X6L+0g7S8U5Qi269f+DgRk1vDgQP28Rl90d7rYtd/HwEiAWY0O6msZGCNorONob67iwBBHb18W3Z0BFnZNksaOhhEALxNy4bH+V94w7f8BsSRCs44kL7EAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTc6MDc6MjkrMDA6MDCW/ZtgAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE3OjA3OjI5KzAwOjAw56Aj3AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 14333514
{'hecke_orbit_code': 2336495763856, 'n': 1, 'trace_an': 8}
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id: 14333515
{'hecke_orbit_code': 2336495763856, 'n': 2, 'trace_an': 0}
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id: 14333516
{'hecke_orbit_code': 2336495763856, 'n': 3, 'trace_an': 0}
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id: 14333517
{'hecke_orbit_code': 2336495763856, 'n': 4, 'trace_an': 0}
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id: 14333518
{'hecke_orbit_code': 2336495763856, 'n': 5, 'trace_an': -4}
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id: 14333519
{'hecke_orbit_code': 2336495763856, 'n': 6, 'trace_an': 0}
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id: 14333520
{'hecke_orbit_code': 2336495763856, 'n': 7, 'trace_an': 0}
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id: 14333521
{'hecke_orbit_code': 2336495763856, 'n': 8, 'trace_an': 0}
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id: 14333522
{'hecke_orbit_code': 2336495763856, 'n': 9, 'trace_an': 0}
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id: 14333523
{'hecke_orbit_code': 2336495763856, 'n': 10, 'trace_an': 0}
-
id: 14333524
{'hecke_orbit_code': 2336495763856, 'n': 11, 'trace_an': 0}
-
id: 14333525
{'hecke_orbit_code': 2336495763856, 'n': 12, 'trace_an': 0}
-
id: 14333526
{'hecke_orbit_code': 2336495763856, 'n': 13, 'trace_an': 10}
-
id: 14333527
{'hecke_orbit_code': 2336495763856, 'n': 14, 'trace_an': 0}
-
id: 14333528
{'hecke_orbit_code': 2336495763856, 'n': 15, 'trace_an': 0}
-
id: 14333529
{'hecke_orbit_code': 2336495763856, 'n': 16, 'trace_an': 0}
-
id: 14333530
{'hecke_orbit_code': 2336495763856, 'n': 17, 'trace_an': 10}
-
id: 14333531
{'hecke_orbit_code': 2336495763856, 'n': 18, 'trace_an': 0}
-
id: 14333532
{'hecke_orbit_code': 2336495763856, 'n': 19, 'trace_an': 0}
-
id: 14333533
{'hecke_orbit_code': 2336495763856, 'n': 20, 'trace_an': 0}
-
id: 14333534
{'hecke_orbit_code': 2336495763856, 'n': 21, 'trace_an': 0}
-
id: 14333535
{'hecke_orbit_code': 2336495763856, 'n': 22, 'trace_an': 0}
-
id: 14333536
{'hecke_orbit_code': 2336495763856, 'n': 23, 'trace_an': 0}
-
id: 14333537
{'hecke_orbit_code': 2336495763856, 'n': 24, 'trace_an': 0}
-
id: 14333538
{'hecke_orbit_code': 2336495763856, 'n': 25, 'trace_an': -6}
-
id: 14333539
{'hecke_orbit_code': 2336495763856, 'n': 26, 'trace_an': 0}
-
id: 14333540
{'hecke_orbit_code': 2336495763856, 'n': 27, 'trace_an': 0}
-
id: 14333541
{'hecke_orbit_code': 2336495763856, 'n': 28, 'trace_an': 0}
-
id: 14333542
{'hecke_orbit_code': 2336495763856, 'n': 29, 'trace_an': 0}
-
id: 14333543
{'hecke_orbit_code': 2336495763856, 'n': 30, 'trace_an': 0}
-
id: 14333544
{'hecke_orbit_code': 2336495763856, 'n': 31, 'trace_an': 0}
-
id: 14333545
{'hecke_orbit_code': 2336495763856, 'n': 32, 'trace_an': 0}
-
id: 14333546
{'hecke_orbit_code': 2336495763856, 'n': 33, 'trace_an': 0}
-
id: 14333547
{'hecke_orbit_code': 2336495763856, 'n': 34, 'trace_an': 0}
-
id: 14333548
{'hecke_orbit_code': 2336495763856, 'n': 35, 'trace_an': 0}
-
id: 14333549
{'hecke_orbit_code': 2336495763856, 'n': 36, 'trace_an': 0}
-
id: 14333550
{'hecke_orbit_code': 2336495763856, 'n': 37, 'trace_an': 50}
-
id: 14333551
{'hecke_orbit_code': 2336495763856, 'n': 38, 'trace_an': 0}
-
id: 14333552
{'hecke_orbit_code': 2336495763856, 'n': 39, 'trace_an': 0}
-
id: 14333553
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id: 14333771
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