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{'Nk2': 32340, 'analytic_conductor': 64.55905003420519, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -1], [7, -1], [11, 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': [8085, 1, [2696, 4852, 1816, 3676], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 13266303574464, 'field_disc_factorization': [[2, 6], [3, 3], [77243, 1], [99391, 1]], 'field_poly': [24, -6, -72, 0, 53, 0, -13, 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': [[2, [24, 6, -72, 0, 53, 0, -13, 0, 1]], [13, [7, 3428, -8810, 2436, 1320, -236, -70, 4, 1]], [17, [29952, -6912, -18624, 2880, 1984, -208, -76, 4, 1]]], 'hecke_orbit': 57, 'hecke_orbit_code': 252201579166310293, 'hecke_ring_generator_nbound': 19, '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': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8085.2.a.ce', 'level': 8085, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7, 11], 'level_radical': 1155, 'minimal_twist': '1155.2.q.j', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}+q^{5}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8085.2.a', 'trace_display': [0, -8, 8, 0], 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-1.0899512734962367, 'hecke_orbit': 57, 'hecke_orbit_code': 252201579166310293, 'label': '8085.2.a.ce.1.6', 'level': 8085, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [19, 17, 14, 20, 15, 13, 20, 20, 18, 12, 15, 21, 14, 24, 21, 9], 'Nk2': 32340, 'analytic_conductor': 64.55905003420519, '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': [8085, 1, [2696, 4852, 1816, 3676], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1313, 'dim': 272, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 13, 17], 'hecke_orbit_code': 33562517, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 14, 14], 'label': '8085.2.a', 'level': 8085, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7, 11], 'level_radical': 1155, 'mf_dim': 1376, 'mf_new_dim': 272, 'num_forms': 68, 'plus_dim': 122, 'prim_orbit_index': 1, 'relative_dim': 272, 'sturm_bound': 2688, 'trace_bound': 17, 'trace_display': [0, -4, 0, 0], 'traces': [272, 0, -4, 272, 0, 4, 0, 0, 272, 4, 0, -12, -16, 0, 4, 264, 8, 0, 8, -8, 0, 4, 16, 12, 272, -40, -4, 0, 0, 0, 0, -40, -4, -8, 0, 272, 40, -16, 40, 12, 16, 0, 32, -8, 0, -32, 16, -28, 0, 0, -8, -40, 16, 4, -8, 0, 16, -64, 0, 12, 16, 24, 0, 304, 8, 0, 56, -16, 16, 0, 16, 0, 0, 80, -4, 8, 0, -8, 64, 16, 272, 0, 24, 0, 8, -56, 24, 12, 16, 4, 0, 32, 40, 16, -32, 28, 0, 0, 0, 272, -32, 24, 16, -72, 0, -40, -104, -12, 40, 0, 8, 0, -16, 16, 0, 48, -16, 120, 0, 0, 272, 32, -8, 32, 0, 0, 48, -24, -32, 32, -16, -12, 0, 0, 4, 40, -16, 64, -56, 0, 0, 88, 8, 264, -8, 8, 0, 192, 0, 4, 168, 128, 8, 0, -16, 216, 0, 0, 40, 28, 0, 0, 128, 64, 4, -40, -40, 0, 232, -24, 8, 240, -8, 72, 0, 16, -32, 88, -16, -8, 16, 0, 184, 48, 0, 72, -8, -16, 0, 152, -80, 36, -104, 32, 8, 0, -56, 4, 64, 0, -48, -16, 0, 160, -8, 96, 16, -16, 32, 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16, -32, 200, 168, 0, -64, 0, -432, 64, 8, 0, 0, -144, -584, 48, 272, -272, 112, 0, 136, -128, 0, -184, 0, -32, 0, 144, 264, 32, 88, -24, 16, 0, 24, -144, 64, -40, -16, 64, 0, 40, -528, 16, -480, -16, -8, 0, -512, -112, -80, 8, -72, 48, 0, -48, 80, -160, -72, 320, -272, 0, 256, -160, 40, 424, -16, 88, 0, 408, -40, 80, -656, -16, 96, 0, 316, 120, -416, -104, -48, 56, 0, -240, 0, 128, 24, 96, -12, 0, -960, 40, 416, -64, -80, 0, 0, 40, -192, 64, -312, 88, -112, 0, 224, -112, 0, 184, 312, -128, 0, -160, 232, 288, -544, 8, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49081797
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 252201579166310293, 'source_is_minimal': False, 'source_label': '8085.2.a.ce.1.6', 'source_level': 8085, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 252201579166310293, 'target_is_minimal': False, 'target_label': '8085.2.a.ce.1.6', 'target_level': 8085, 'twist_class_label': '1155.2.q.j.331.3', 'twist_class_level': 1155, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49081798
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 252201579166310293, 'source_is_minimal': False, 'source_label': '8085.2.a.ce.1.6', 'source_level': 8085, 'target_conrey_index': 331, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40533496191517827, 'target_is_minimal': True, 'target_label': '1155.2.q.j.331.3', 'target_level': 1155, 'twist_class_label': '1155.2.q.j.331.3', 'twist_class_level': 1155, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49081799
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 252201579166310293, 'source_is_minimal': False, 'source_label': '8085.2.a.ce.1.6', 'source_level': 8085, 'target_conrey_index': 991, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40533496191517827, 'target_is_minimal': True, 'target_label': '1155.2.q.j.991.3', 'target_level': 1155, 'twist_class_label': '1155.2.q.j.331.3', 'twist_class_level': 1155, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49081800
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 252201579166310293, 'source_is_minimal': False, 'source_label': '8085.2.a.ce.1.6', 'source_level': 8085, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 256705178793680789, 'target_is_minimal': False, 'target_label': '8085.2.a.cf.1.6', 'target_level': 8085, 'twist_class_label': '1155.2.q.j.331.3', 'twist_class_level': 1155, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4655475
{'charpoly_factorization': [[[24, 6, -72, 0, 53, 0, -13, 0, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 2}
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id: 4655476
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 252201579166310293, 'p': 3}
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id: 4655477
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 252201579166310293, 'p': 5}
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id: 4655478
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 252201579166310293, 'p': 7}
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id: 4655479
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 252201579166310293, 'p': 11}
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id: 4655480
{'charpoly_factorization': [[[7, 3428, -8810, 2436, 1320, -236, -70, 4, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 13}
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id: 4655481
{'charpoly_factorization': [[[29952, -6912, -18624, 2880, 1984, -208, -76, 4, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 17}
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id: 4655482
{'charpoly_factorization': [[[177920, -154112, -8256, 22352, 1424, -916, -88, 9, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 19}
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id: 4655483
{'charpoly_factorization': [[[-12000, -12336, 5088, 5304, 338, -383, -59, 5, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 23}
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id: 4655484
{'charpoly_factorization': [[[-2048736, -1300848, -114120, 64404, 9866, -999, -183, 5, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 29}
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id: 4655485
{'charpoly_factorization': [[[-1780, -476, 4420, 3441, 369, -266, -50, 5, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 31}
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id: 4655486
{'charpoly_factorization': [[[2395424, 634528, -239144, -52816, 9882, 1304, -192, -7, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 37}
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id: 4655487
{'charpoly_factorization': [[[777600, -727056, -180576, 91476, 11892, -1851, -213, 9, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 41}
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id: 4655488
{'charpoly_factorization': [[[84133, -153310, 77264, 1070, -8478, 1758, -56, -14, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 43}
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id: 4655489
{'charpoly_factorization': [[[3206688, 501936, -703728, -11664, 28790, 761, -305, -5, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 47}
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id: 4655490
{'charpoly_factorization': [[[-943872, -1700400, -536592, 33636, 21904, -241, -267, 1, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 53}
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id: 4655491
{'charpoly_factorization': [[[-32496, -232704, -7608, 37968, 1453, -1624, -78, 16, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 59}
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id: 4655492
{'charpoly_factorization': [[[-24064, 109056, 166528, 40672, -11120, -2120, 84, 26, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 61}
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id: 4655493
{'charpoly_factorization': [[[821344, 550720, -602504, -3224, 37018, 584, -372, -3, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 67}
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id: 4655494
{'charpoly_factorization': [[[2088384, 3069774, 816948, -26166, -31267, -2670, 166, 30, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 71}
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id: 4655495
{'charpoly_factorization': [[[-72020, 265228, -222650, 48021, 8207, -2420, -190, 15, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 73}
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id: 4655496
{'charpoly_factorization': [[[-578560, -1130752, -489920, -26160, 16224, 1352, -200, -11, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 79}
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id: 4655497
{'charpoly_factorization': [[[-35281392, -10310514, 739752, 422490, 14509, -4576, -302, 12, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 83}
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id: 4655498
{'charpoly_factorization': [[[-51324, 83418, -28608, -10716, 5593, 266, -230, 0, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 89}
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id: 4655499
{'charpoly_factorization': [[[7517120, -3240224, -4888240, -1408504, -159180, -4662, 506, 44, 1], 1]], 'hecke_orbit_code': 252201579166310293, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 57, 'label': '8085.2.a.ce', 'level': 8085, 'portrait': 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LKApY5kMPIJPIEwmg3TmvmpjOVOSGcgGKY+K33B5inNUltz/Jwi8gM2z8L2DTGb5oZsnBuxeW7E9k2GnZsVV+zwqakGR463+NrTAY/uT3nyWEKmurzhxW3e8kJDTc2x/9g0R057nDqfcdaB++Ci4carFvjZd66wY36K0+enOb8SsdT2WelI2t2MTl/THcC+w4s8cbhzxfmVwy+5dPPxC7bOnv7Cv/rxb4t/6Vc/882GxF/p8XeawVdW2pztCBqBefexE8++cPH4b8ovPTR84U9813EvGW3l/PIsiyt1ltoBS22PpTYstzOW2wlLqxlnV+HQkmDD/Cr/4fuWeMHuOifOzXL6fIPTix7nlgxnF1NOLmSc76ZMzw550TU9br4cAlkjVCHnliPOLHqcXRb0R5CmmijQNKKMmakUDRw7m9Lpwa5NPo3aCGMEiIDeQLNz84ilVQ+MlSKrPRilYDAst2O2bfTpDhRCGYQe0Yp8dm4ZstoXHDvtkWmPuZakGQlCH9JU0B9Jzi5LziwZzq2khOEQ/JRbruzxwqsEG1o1llZanDgXcnoRzi2mnFtOObUMh5YMN1y5yC983wqbp1scPzvL2aUaCysBi23J8mrGSidhpZOx3DUsdASHVg3Z8Dy/+1NJ+sDeDff9qx98l96166r7hEx/Oh7VCKPWNxsqz/n4Oxtkfvzjn2RmZorz5xZ+8UN/dve/+sPPPRyurPgEQY+33xZy7QV9RnFImkoyLcg0aO1hjMImVkCIDCEMh5dm+A8fEfziD5zj+gtjmrVZGrUmrXpIs+4z3VKcW1KcXfH48v0Rn7035dIdfS6/KGV5ZcAVO0Z892s1SaoQGP7yaxHn2xG1bMTRM4per8m1l2Sc76Ts2eeze4fkwGm45TJodyHWHqEXM9+A/adq1GsJoUqZagpWu3DTFV0OnQzZvUtz5PSIZw7Zf8/fMeTQOcNUc8RyJ+bTX65jhCLLMm67rs+t1xvOrvpcf/GQi7f6pEmL/qDGnsMRZxcFCysZ51dSzi1rji8LzvVirtu9xM99T48NrRmOnZnm3FKNhVWfpbZkpZ3R7ia0exntvmG1D+cHktFgxA2Xjrhqx4J30+7BS1n+MKeSV906veU1ujXV+pmvfOnTvOJVb/xmQ2bdx99JBv/on/45s/Pz6vyZUz936OjZn7n3kcPqyLmYc32P5WHK8y48z3/90UWuv7jG2eUZllYbLLcjlts+yx2PlS6stDNWOinL3ZTFNpxYEXi1Ibdetcx3vjTmwo0NVnstzi/XWFgOWGwLlttWIqx0NZ2BpjMy9Icpc62EnZs0IAh9w8nzPkKG7NqouHCrYevGPudWRjxxoMnzLzXUays8fXCWZiMmjn3mZjSDIVyxc8gf3jHNZTtSRiPD/JQkyQY0o5Bnjg6p+Q2u253y5OGYc0sB2+ZCLtwCOzfHKJVwchEC3yCEYdemlJmmpDsI6fV9On2f5Y5ieRWW2prldsZiO+NsG5aGGTu39fjO2xa59XKPyG9xZrHF4krE4qrHckew0tasdhNWuhmrXcNSD872FGdXU2667Czv+ceLXLYjot1tsbRaZ2F1hljszvzall/cfcmWXzh1ejF76cv/n282dNY8/k4BfP/+/US1qHby5Mmdjz3+9DtOnzr7nw4eOUlnIFjpGpb7knMDydluwg0XneNXf3SZay+qcX5lmqXVBiudiOWOz0rHY6UD7a5mtZuy0k1Z7hjOtQWnewZEj7e8uM3rX6C5aEtEHNdZaUes9gLaXcVKT9DtC4YjQ5wasgyUNIQ+1ELDdMuwcTbB84ccOhPz1MEQnTZ47U0xnr/KI3umuGALfO7BlBdfHXK+PSDyFGmWMDsDaeLj+SlLS3VedH2Hz93f5MIt8PCBET51XvMCTSoGPHUo48jJCE8GbJrxmGkIaqEgCARKQKohTgzDGLp9w2pP0+1rVvuapZ5hkGXs2t7n9Te3ecsLY9BNllanOL9cYykngzasdjPavZTVbsZqz7DcgzNdxUIn44bd53jPj57nyl01FlenWO3WWe1ELLUDFpYl9dY2ZuY2/rst2y//061btx0fjYaDSy+97JsNpeLxdwbgJ08cYOOG+WD/gUPfv3ffwfc+8OBjYrXdl3Fi6A4co/ZhdSA5P5Cc6SS84NLz/PIPLXH9JRGLqznIQ1a7AStdj9WuoN01tHsZq92Udk+z0jOc7wrOtDUz031edUOXWy5P2bVJ0ar5dLoRoS8BRZxKtBZoA/0hIDQzzSEHThm0ibn94Qajfo1LtgXcek2fRK9y96PTXHepz4GzPdorLW6+ps+XHwnZNGvYc8zwT9/cYc/RkE2zki89qrj1CsVyv8PhE7Nctzvm7qcGpKM6t1wZcPGOIYO0xxcfUZAJDp30aNU9PAH9gQ2qM21IUkBqvEDT7hkazYQdW0a88Io+r3p+ylwj4tzyFEurNVY69tysdATtHrS7Ke1eWsiS5b7kbFew2E256bIFfvGHFrj2wogFB+5OL6TdC2h3PToDxWAIWkT6gouuNjt3XfxjF1xwyQeXlxfiq678uwHyvxMAj+NEDofDN957z+cvESZ5z8MPP+J3BzCKDYNRRn+Y0RtoukNDZyBoD4QFeTvllivO8+4fWuD5FwesdqZYWGnS7kWsdgNWex7trqLdh27P0OmndHr232r3DQs9wUIPkmzEtZcO2Dyb0esbXnfziAs2a9JM4klDnMBdT0QcPx+xZSbl6UMR6DqXb1dcf5kmjPo8cqDPwmKDqy5o0Jpe4f4nfW68NGKpv8rKSovNmw0P7lF8z8t7PLTHY/tGn8Vem5XlWa6/os/9T2fM1qa56pIe59ttHnx2mprX4IbLDLt3DkH2eOKIYONswrmFhLuf8BkmCikh04YLtsS86uaYbk+xdUZz/aUQx3WW23WW2yGrPZ9OX9HuSTo96PQzOr2Mbt9mTFb7huWB5FRH0B6MuHX3Ar/wgyvccKm9OdrdGp1+SKfv0+37dPuK3kDSG0Gvn9HuJTz/+huTei34iTd9+xsO1uq1Tyvl6W82tr7pQeZgMCCJh993YN9jv3bqxMHZXmeJMJRoBEIYDGAMLnB0KUBhUNKgpMdD+zfx07/v8eZbl/muly9z4baYs0stwqBGLQyohz6Nmke3JmkOfKYanrthMjaNNIORoTsMWV6IOHnCEKeaU2dTwtAAgkAZPCnoDxQCn7Tv8bwLBBdvNezc1meUdfn8Q4q9B2d49fNDrr9ihQ9/3hCIOhds6/Pk/Ypt04r5Vp9I1YgTn/NdaEQe2zcJHt8bc/3uGi+9bpEPfWZA4Dd55U0GP+zzlQdjPvdAg2eP1Lhoa50LtmRsmIm5cD7h6gsylNJ4ygCGehiyYTokTny6/YCnD/j0hh79gaI3lPQG0Bsaen372buDjN7A0BkYVgew0FecWzHUp9r8+GsX+H9uHXHtRQ3OLLZo9yK6/dACe6DoDiS9oc0qDYaWAIwRPPDgw/7mTRt+beOmh5dvuumGf9Xr9T/UaNT/zwV4EvcR8INHj9z/7oPP3D2bDjsEvocQEotsQTVVLwQIYTtpLMAzAil58sAGHtvf4MDp87z5hT1eeOWQ6WaL5XadRieiNQjo9T267mIPhh79kcdwZBjGmjgxJIkhzewRpwFGg1QC3xNEgWC6KZhpwuZ5zfZNfeZn2nzhEbjnMR+pp3j1832ed3mXe59NiIctbn2eoD0YcH6pwS27NfPTfWpeyDBVLHQSlBY8b7dHvTni0X0RL7l+ipuv7fLoPgVmiudfGfADb1jmy4/HfOmhBnuOR+zcoNg8W2OmWWeqCbUQfM+gJGgDe44IskyQpII4hVGC/YyjjMFIMxxp+kNNf6TpDaAzgoWe5HwXRnrIK65b5o0vbPMPXqlJ0xZnFxt0ehHdQUBv4NMbKLoDRX8o7OHO3zDOSBJDnGj2HzrFqXOfm11cTf7LG1/3Eq/T7f9+q/nNA/k3DeDGnAfiH1g5dce7l0/dubEVjVCzIcORZhiDlAIhJEIIhFAIIZASB25QyuApg680NV+w2K/xJ3ds5yuPdXjx1au88xWrXH1hj7npOkurdbqDkP7Ad8BW9ogFo0SSpII0tUt9nmJU0uB5EAVQr2lmmwnbNvZJ6XHgVMJH7444fKLBdFjjxis9brmmw4P729z+tRY3XRqxc0ufP7xDoERIq5mw2huhDSgBG1p9Ot0AndZ444vP8yefq3PxuYjX39QnTpa4+6k5kiziBVdu5PU3drh0R5uvPNrnyRN1njgSsH1WMtsS1ENB4NubULqbXxvQ2pCk7mZNDKMkByIMYugOBSsjwXIXhDfkustWeeerVnnxlRlzrRornTrtbo1uP6Q39OkNypWgP5IMhlhwjzJ3vTJGsSGODcNEcnp5lSMf+dLGs23e/ebXv8jsP776/t07p//PAPi7fvJ/Upue5h/+3FffdculJ97z2isfmG+FMUmrZY1FSqGUQkmJlCCkRAqBFBIlPaTMUEq45VnjK0PoGWqeYGWoWGrP8LG7GjzwdI9br13lna9c5bqL28xlNdI0pD+M6A18BiOPOFEkqSTNbC5dG1FIoDDQ1KOUMIgJ/BGnlkZ85mHJwZMBR07OoHTIxVsCrrhQ8fzLO6hwgacONdk2Xeeqi2DzhhWWOy2u3iZJteELD4WM+pLpRsprXjDk03cnHD/b5LJLfM6sDnnmsM+OTTNce+EC9z7Z5f5nBKM44PILZ7l8R8jl27scOrPMwVPw0N46Bw43qHuC0JM0QkPkY88XVs5l2pBmEKcQZ4LeSNAZCjoJxDpFmyE3XNrhna/q8OKrM7bMhgyHUyy1I7q9kN4woD/w6A0V/aFiMBIMhpLByPaNDkcZwzgHuGEU2+d+DL1Ycepsh5U//8LG6y556j233VRPzeB9Hx4s96hv+5d/fwF+5tB/Y8vFW/mX//nEP3jw4eO/cfqZR6dfemGHjdNTxGkMCKT0kdKgpA2glAQlBVIJC3wl8JTGUxm+Jwg8TeAbQt9QDzKmI0F35LPSmeHj97S444khm2b6vOO2NpfvGDIc9LjqQsOOzYpR4pNlikxLTA5uqfG9jGPnDEfOClYHmk/dW+fU4gwm9pmJFFvnPHZt9rhoG1x1cQctF3nfpxssL09x0+UeV13c5itPCETqs3FG0qin9JMAaSQYifIC2kPBuWXBlabObc/vct+jNbbOB9x01Sz/6A2LfPBzXR7a16A39FlabXLh1hqXbenzgt1d3vqSLqeXl/nUvSFL/ZBjZ3xOnQrwlUBKiUCgjSHTkGhDlmpm5hKuubLPaJRw+Y4Rb7ttxMYpxWwzJEkizixE9AcB/ZFd5QYFsKUF90gwHGFXglHGMNaM4syB2xTg7seC9lDQST0a7XOMVh6ZT5d2/8aZ9pXJjss/80f/73s+xK/+xD/8+wfwMwffzyD5R2Jw+lff/qWHjv7el+46Vr/p2i7bN2VkaUw9GlUY1EcJ4wBukFKipMRTAk+5Z0/gexmBJwh8TeQbaomhHhumooyZmqAfS7pxgyMnG/zyH82CThFpyvOv6XPh5pg0BW00xtgijhT2RvL8gH3HA/YcjGhEHs1AMl8XbJiTbJz12LpBsWtLxmW7VsnEEv/9Ey2OHZ/mpt0+l1+QMUi7fO2pkOmaz9yUYboZU69ZKaS1pD1ULPcMS+2Mdq/Gi65a5eE9ffYeV0y3Il5w5TQ/9MYlfvOT8OjBBr2BYbXrcW65xeb5OhtnhuyaG/Kv396nVW/z5BHYd0Li+walDEJowNj/GUhTuGBzxq1Xp2SJT5KGGFNnGPucXQwYjOyKNoxVId8GsWA4Egxjy9oWxBmjkbZsnegC2EOXi+/Hgl4sWI0lfa05sWi470nBdPTE9J/e1/y9s/13pt//Xe/6mHhP0/zKT7zt7w/AjfnPwKIarvzSW7LVUx++7YoHox94Y8jmec1UK6PXHRGFCgNIYRyD+yhlmVwp5fS2xPes5gx8xciXjGJNGGeMEkMt0YwSTRwbWimMEs0ohTgVDBPJKAtJsoi9Bxs8sRcyY7DQttrYlxAo6/lohnDVFmjVYKohmWkq5qY9Ns7Czs0jtmxYJTHL/PdPTHHo8BTXX6S4aLvk4u0r3PlMyrmlKZ5/oWSmpYmCAaEMMUqQZhJhDGkWs9KLOLfkc/3lNZ63u8u9j0ZsmhHUoybX79b8+FuW+I1Pap451WS1p1ntKhZWPOanG8y0asy0pmjVEzY0EnZdHxP6Kb6XolSGFDaYMNibKkkU5xc8klSRpIo4UYwS9xxLRolkFEuGsWQUCxugxoKRkx+jxDJ2HDtNn+SyBIaJYJBYgK/GgpUY0jQmHaQ8e9BjaaXG7/750frzr5v78G994AM6ltEn3vzjH8g++T/+0bc+wH/sP/0Rb/3X0+rmS4++7dZLnviQHj4dPbS3yR98vsalOxMu39nm6p19hAOaEFYmKKVRykdJg68MvqfwPYMfSwJf2IvgC0aBIk4s0JPEEKeZzYqklSODNDNkmSbTWL2tKcAthJVCngTfh9ATRKGgHkoadcVUXTIzJdg4m7Jrc59mY5VP3Bdz91OzrC62uGanYtcWn0t3DMnEKl94qE7D99gwo2jWhzx1CJ497HH1DkN/pLj20oRrLjacPZOxsBIwGNZ57Y1dvvrkgAOnFI2aJAxaXH2R5hfetcRdzwz49F3zLHUMuzZmrLQ9pluKqYZPs+7TqBmiUBMGmtDL8JQ9h1LmBIMtWGlBqiVpJkhTQZJK4lSQJJJRYjMvcSKIE0McwyjJiBNNXCGOUZIfLktTBXciaScwHMXIpMd1F3d5x6v77N6Z4oWrPPT4A9H2qUv+4F1v2vYPb7h5+s+6//Z/ZK1tP/6tDfANIbI+u/Bdn7tn5bd/+QODCHMRgz7EQ3jqSEK/7/O2l3d4x8v7TLU0qp+hpHY6WzsZ4uEnHqGnGPqWaUa+JA4EcSLsxUkUSQpxIm0GIS3TfmmmyTKbXciMy5QUhizhpJCVPYEnCANJFEoaNUGrbphuajbNjtgw0yU1q3zsq5IPfm6OjVHENTsFO7f4XLBVs2vLCp/4mmF5OeLyzYqZFjTrCeeOSs6vhAQXwigRbJiSTE/DgSOGlY7m7GLEpRdEvPz5XT5zT8RcE8IgQMlprr5Y8MOvP48vz/OX987w7KmITZ2EjdMpUw1Fs6ao1yS10CMMIPTB82yGSQqQogJy7I2dacgyQZrhgA5JZohTSJLMkkKiifPnRLu0Y56VseAepIJhIuglgtVU0I0N6XDEVNThHa9d4h0v7/LaGzIyPH7uXSO6vZTB8LGo3jS/d2pf0zM0/xjLM9+aAH/fhz5Jmul33Xn/4V89fvhkyzfT9FMBvkZ6Gp2lfOGhgK89E3FmeZl/+tYBM62UKEzp9CI8FeB7vj3ijNj3CGIrTeLEltIt4wjLRI6V0hSSDLLMZhK0Ns5taPIeTgduC3AbuAp8zwIkCqEeaZq1lOlmyobpAfMzq9y3N+YPbq+x78g0F0z5XLwZtm8O2L4JLtvZoZ92eHBPi5ry2TCjmG7CdHPEzFRKEHi2cGVgMApY7iSs9g3tXsr5lYCdm5vcfPl5bn+oz75TLephgq8ChJji4m2K733lIjdcdp4/uL3Jg09Ps9Tz2NhKma6n1CNJLVKEviD0Jb5vYxWlcOlDi3JbNDN29XJATzPtVjeXWkw1aWbBnSYQp6Y8EpuVGTpg9xNBNxV0UxgOU3QyYK7e4Z98xzL/+rv7NGoe7V6NJPXR2kPi4UmfxfNnW8af+u+1qeuCA0/9xQcvveZvz6T1twbw1dU2SskffP///MS7F86enNvcglaS0U8k/VQwSBWDTDFSHqujgF/9aMCeQyu88SU9bruuy6b5mG6nxmAUEvgpYeAzij3CwKb3coAniSRO7bKbpC6nneFSfzjmlmhDCW5bpCyyNJ6yBZPAN0SBphalNKOUmdaILfMdzrX7vPdTPl94eJbllQaXbBDs3CjYtjFg+0bBhVuHeMEqf3K3x+ETDXZvksw0JVONDClHnFowhJ5EClvxixOPXRs7PERGp69Y6RjOLdfYvT3irbe1+bOvBBw9F+J7CUL4aNMgSSXPv3CFXd/d4QuP9vnDL8zyyNEG22YE842MRpQRBYLQFwS+jVU8hQ2cpSg8GQZ7k2mDzbRkFvA5yNPMSjoLdogz63WJ8+JRKhik0E0lvQT6iSbrj9g+3+Gl16/yppf0ed2NGb6osboSkaQ+ceqTpB5x4jOMPfoDn95wYW7eDN5zzY1vVr1+5/cb9b8dT/nfCsA7nQ6+7/+je+756rsPHtizsRnlOtfgS02kBEMl6KeCXqYYyBrtxOdP7oy468ku11/e4btf2ef1N7WZmw4ZDEMGo4DQtycrTrwiUEpTRZJJ0lSSZML6wzPhPOJOa2tBoUqMfS9S2GKRcsWiwNeEQUYtTGnWRsxP9xgkA77ylOGjd07x4NPTzAQ+V28zbJmVbJoL2LpBsn1TzEXbVnjy6IBPfXUDU8pjw5Sg1RC06gntfsbnvhbRDAxCWGANRh5vvHXEZx+wnph2T3N+xWP7xiZvfmGPB/d22XMgoBGmKCksyHWdYWy1/ve+vM3uLef5k7s63P/sNMdXamxuCaYiQz3QRJ4m8MFTAiVxBTL7uXP7kXZSTetyhUsd0C1BQJIJkswBOxMMU3vNuhmMYk0axzRqfd786mW++5Udrt+dsWnWYzBo0un5xGlAkvjEqUeceIxij1Gs6A+tL+b83gMbU/Hgu6+/4Rbd6XQ+0Gr9zYP8bxTgyytt4lEPjPm+++6771e+csddc+32KmEg0cYgsB4ST+KyIoIoFfSVoKd8Br7iZCfg9AN1Hniqx59d0+VtLx/wmluHzE4HxKOQUeoTJ5YREgf0NFOkmSvYZCXAbRsbGF16yoQw7mazPg7P0wR+Rhgk1MKYZm1AxoAvPyr5ozumefrIFCIJuWDGsGXaMD+t2DAbsHlesnVDws7NHU4sdPmdTzdIRzW2bxdMNz1aDWjVE4Qf0xk0mG4ahBAYA0kqmQ0VqU7pJgHdfsZKR3FqocaVFzX5kW9f5T1/HHJsoYGnEndjeKRpxDCWbJ4Lef4lHa65qMczx07x0Ttr3P7INKfbNRqhohlAwzcEnsFX4Elbzhdi3F2nAaPtTZdpQWYgzWzzSJIJ4swWiQaZYJDBIDWkaYpORsxFA177ilXe8YouL746YarmEacNVtrWD5MkXnGd7GqrGMVlKnKUeKy0V3nwgbs2asOvPO+6G9JTp8/8z9mpiFpj5u8mwDvdAWFYf9NDjzz2m1/5yh2tpaUVlJT4ypD5zjAlnFkqtVmLQBqCTFBTgn4m6KuQfupzfhTxlw80uPvpPi/4Uo9/9h1drtjZYeO0olX3iJOAOPVJ0xLkWQ5wLdFGOpOWqHT4uFK/MjaI9VLCIMVXMZ1BwkIn4b99IuLI+Rke3TON0QFzNcHGecP8lGCupZib9tk0J9k8l7JtQ5+56RW+8JjmkWenuWa7YKYpadYlrbqmUYsR/ogw9PCU/fvGQJZJBiOPwTAh1YLuQNPtGZY7PmeXWtxyWY+br1zlT74UUVtWeDKxgDQeaRYQJ7bHc3464oaLe9xwSY+HXnqaYwuSP7h9mvOrdU4uhQRK0vAFQS7DpA08CyLPpQqWyVMjSDUkWjDKYJhCrA1kKaQJUo3YOjPgml32etx4RUar5pGmDdrdkFESkDq2TlKP2KUkkzwdmUhGiWIUK5JUoKSkN+zwwP13zYW++M3nP/95K4NB/1N/k5j8GwP4M8/uZ+f2Terd/+0PLzly6EAr6S8Shjaw8hQElayFEpbBvdSQKIGXGoIMwsxQV4KBEvS9kEHmsxTXuP2RKe57dkAjHPEPX9dm+1zKBVsH3HJVF08omnUPIaxcsVVJ65U2psLcGIQ0KGFz5oYUZMozRyQP7/X4zINNnjneJE7rND3FhpphtmGYqRubB295zE55zE0LNs+mbN0wYMuGFe5+esT7PrORLdMeG1rQaihaDUGznlILR9y3XzGMPfyGBZUxgjiVRJ7iut0DHnhq2hqfBhmrHZ/F1ZBzizP8yOvPcXJxiQce34AvAZGgwQHIZxRLegOPmWbEdKvBzbv7vPSaPt/9sgX2ntB89sGIB/fW2H+4QSo8RiNFP1Gowt9TDTxdTcBoUm0wWuOLjKkgJiLh5ut7XLhlyPb5hHe+ZkQtkDRqPnFcp931SXKmTn0rGccOWYmVXEo3FaSZwGC9NJhVzp+8o3UgPHrJZdd9nzp14mC2bcclf3cAvmfPHrZsng8efOjh79/Y0r+6f7CE5ykE1jSllO1nt0CzWlylwsqVzEqWNAPfgTxSgnomGGkYZj6DzKefRXS7Gb/yJzOYNGHThiFX7hwyN5XytpcP2LkxJkmE09sSKsyN059SaoQUfPyuGk8eaiA8j2On65w6VyeqKaZCwXTD0Io0rQiaNcFUXdFqKmaaHnPTMD+dsmluyLaNHTKzyse/2mLQa3DpdkOrrmjWJc2aphml+H7MFx6IGPUl/kaQDkxJKmnUFK99wYB7HtP0RpLeIKPT91jtepxdqnPFhU3e9uIOjz5T59hyEyU1kDi97JNklhGHsaQ39Gj3Apq1Oo3aiCu2D7npsiEnzrc5emYVz8944rDHn91ZRyhrXEPI8YtoNKDBGJI4Y9emlHe8fMB8K+OyXYZNc5ClPqO4SZr6rHR80kSRZJ6Lgyygc4DbmMgCO8lfpy7blVhzm3YJQikVx072UDX/V2P5SH/jlgs/uG/fnviyy674uwHwU6dOsrS0sPvkyZPvfeapR2SrrsD5IaQxRTElD+7yErzKBF5mdWKSGfzMasBQG6LM2CBHG+JMMNKSUSaJtU+iYaHX4s4nNYaMv3jQjmzAaHfkVTyXIisciRKpFGniIbWH70maIVy4wdDwNfVQUw+hHgoaNUmzZuXQVFMy04K5qZQNMyO2buiSscJ/+/OIe5/ayMVzMFN37F2XNGsp9VpMoz6gVqsTKomSToNjL2yS+AwHgsEooztS9Iaa7kDblrlGwMlzU7zoyhE//vZz/NqfeRxfDRFCY0yCzozNTiSS4cjaWJsDj0YUUK9F1MM6UZjQrMU8/9KYwE+48dKUd76ij6dSVwTSCGHGRbmTdFpLhJCEvgIChiOPpRXP+nayPOZxstCBN80sqNMi4C8zW2kqXCLAAjx11znLrPbHCAYjw333PSKvvU69t9MdfHU0Gj79N4HN/22Af+2rn2B2RtT2HzzwliMHD4lG3beVskw7trGaWzjtLZ3HJFWgUvucZuBltvcxzSP6TJBqU0b22upDewhiLUmNJNMeiQ7JXNqr+iiqlAI8IWylUkFUM0SeIVIZoQ+hB1FgqIWCWiCp1yT1yLMAbwimm5rZVsrc9IiNsz22blzifZ/R/OHtm9gxrZhvaloNRbOuaNShXsto1hLOLGkOnQmJAntDQ+70Ewxjjws3azbPD+kMAwZD41hcstr1aNYimvVp3vmK8xw+c5bf+9Q2POlh0GQ6I9WGJLVZiUFsTVH9SFIfetRCn1qY0e7aGCPwM3wvw/czPGkbJaTMiusihPOtuHqyBbmgrZ3LUtu4JsskWktSXcY7FqgW0LZ45CqlDtD2tXBgz19XAV4WnoYjeOjhx8X2XZ23bNm669CH//DPBu/6nv89z8r/NsBvvPJ8sLR86qdMvPpTvhrKemR3IkhSaxNVmSGT1l+SPytlpUkqDZ62AM9z1jZdZXOyxYfX1v5ZlNmdU87mckURKFU1N7jVQtjAypO6kr0BXwl8z9i8sSeIQkkUSGqhohYpmjVJs26YamRMN1NmWyPmZ/rs3LTEg/tH/MldW5mJQjY1Na26sOCuSRqRphGlNOsjHtwHT+ytc8kG43RvWTYfjBQ3Xma4dOeAh56epj8yDIYZvYHnQO5Tj2rUomm+8yXLPLH/PA/s2QxGoXVm7bCpIU1M4ScZjDzqQ0MtUkSBJgx8wiAj9DSel+F7tjqslHYmNks4CJvhymmhDM6FG6bkMlI6T79WUrE5sLUowJ5XSTM9DvAqsKvXPE9Nxqmh1+nKbnzq544seYEIar8IxN80gHd7fdlJ+v/+2f0f+FeLC2cDT4X47l8UQqAyQSaNBbq0gFbKFRTy19qC3Z44g3YnJiuqj1h2diDXrhKXFyuMMVQq72MrrhyTRK4cr4QFeGHastW/MFBEoaIWCuo1QbNmaNUzphop080Rc1MDtm5Y4YF9A/79hzZx/OQ0F81rpuvQqikaNUUjgkaUUYsSAn9Ie2jNYr4ySFm+M3vhJUka0Kol9FNt279Ghv4wo9uXtGuKejckCptcsDnhF76/zc9/WPK1PZswKLTRZJkmzVLiVBMnimGsGISS2kgRBZIwMISBIvQ0vm/z/Z4yzufjyMbJFCHMeIOuK+0bRyLGeVkyB/hMl8+WmGQhOSzgK6/T/DPn1dOczEwF4Jo01RgNJ0+eDi5pNH/ip/7xP/T/0z8b/LsgrP21y/l/bYAP+l20Tn/xwfvv/xePP7YcRUGAMaBUIYFtgSETKC0K9tbakCnH7I6ptTIFS2ttijKyLnK0YLSxXeSm7NEsezXHAZ7rfZGDW1hwK2XTZZ5rRfM9SRhIAl8RhXYkQy00NCJNs57RqidMNWNmWwO2bljlgb19fv6D8+w7PsuuWZthadYkjbq07F0z1KOMepSQZDEf+VITqRS+NChRpgm1yZdyn+999QpffCSmG4f0HcB7A0W3p2iHHlEQEvotLtuR8p9+YImf/aDg/qc3oY0k07asnqTWaDaKNaPI5pnDUBD5gjCwlc3AM0XF1lMaqWxuPJeMBcDLkifgSARbS7DZFhfI5wB2Uwd0UVzDsTvFips5QKeFHDHFcy5jU4cHIQVz0wGmfza67757/+WLX/JSsdru/PT01F+vCPTXBvjhw4fRWt/87LNP1NIkJVPOtCQMwrVQZRq0pNDUSgoyUwF1ZtCqBHaVobUu268s0IX1UeSgzk/8xPvKAZ57MPJKXs7enpf7TiS+L61/IxBEoZ15Ug8zGjUL7lYjZro1YMN0mwf39vn3H5jlmWPzbJ8RzDUq0iTyaETWv1KLUmphjO+POLU0g68ESmqXliuDzCyTpKliy4whTRM6SeQ6ZTSDYUZ3KKn1FVHgE/gRvjfF5dtT/tM/WuDfvh8eeHYjmZYW4JkhSTPH5JpRqIliyTBQhQTzffA9l55V0spEiZMpINzzOhi3cgVXFEIUxSHtikN5tTjLKkWjit9F5+DO7PUrgJ0ZJzdN8TOBXV1H8YhHHn2stmvXrpurq9//JwC/564vIUVa/9wXvhgM+x3CQBQyAGlBKSWWuTUobZk9v7u1FPYDeuWHLcFclSHlz0wuR/LXz/HepChNVFK6NKUDt5LSNUrk8gQiH8JAU4sMtdDq53otoVWPmW4MmJ9p88iBIT/7+zM8dWwDW6cVGxqaqZqgGUnqkaJeE9Qie3PYUn/MA3sEvWFApHA3mdXgeRNCpgVJ6tGIFLdc1eXBZ1r0EytTBqOM/kDRDRVhoAj8wOnnaa7YofmlHzrPT/4u3L9nI4mWJFq7ZumyB3MUSMJAW/b2Sx+9p/IDJ1NKGSddlXc9kOdFIZMD3AE+KzIvjK+8ubTMJgisulIbg86Mu0lMZTW2MUt7tc1Xvvz54OZbX17//Be+0H/da1/7tw/wM6ePs3HTtuk7v/yp34n8+CUEGWEg7MnKz4Ualxe64sHOVOWO16CVWJ+1K4DWBbDLk4DT3sXFENZQJKQDtzMZqQLgoJxj0Pcg8LGdQIEzWIUZNScvmrURU80BM80Ojx8c8bO/P8MTRzeyedpjQ10zVYNGJGjUFPWaol6wd0YUpjTrQ+5+ImC1HTEzU5bJc8Bop02TTLFxTvGK5/W4+2Ftu2hiXQG5JPIlke/hewGeV0NKzRU7DO/+ofP85O8a7t+3kUR7JM4BaG2vlsnDRBbuwsCTeJ4zYUmB8vJzQ/H+8pswlyoid6XB2PiO6qErz1pXnouVtwrukrBysOffq5KWKG6SmLPney85evTY+9/+HW/50aNHj61ecMGuv12A9zunOTlY+Ml++8h3+WKBsOUjcXd+pfxbGnly3WYmvi5/bic05TKEgr3HAslJ5nZIzytyhfaWuYOu1N25Y9BTWH+GZ/B921gcBZooyKhFKfUooRGNaNaHzE61eXT/iJ/63XkeP7yJjdM+G+sZU3XjwO3YO5LUQsv+UZhSD2NSPaIbhwgl8XMGLzS4cBfY5YsTn0YwtHaBOGImB/kwox9YBg8Die95+F6+Aa3h6gsM7/nRc/yb39bcv3cTifYYZYI4047FBVGiCX1D4NveVc/FHZ6yFmElpTs/ris/f64Ys4obsxrrTIC7IKEKMVXBvUZuVqXoRNKgvJZWryy3zyG8w9+1Y9fjh5I4+bd/qwzeXT1BY2rbrifuf981nj7B3JRBm2zsg+beD5u+M66TJH/OwWwqd7oo/vtMV0+YWPNvVk90bgtcE1Tmy63r0FEumPI81xnkTEi5ezDyM6ebE2rRiJlWn6lGlwf2pPz0++Z57PAmNkx5bKhlTEWGpgN3LbLpxBzctTAjClJajZg9Rw13PdogkBJfaRfElToyX9mSTJFqj9uen3DJRT0OHa+xoY7tc4xt53p/6FjYU3ie7+bB2Nz1Vbvgl354kX/7u5qvPrOBYVKzxbDUUHce7tDHgtzLVy9d9LZKlRUrnJKiAnBRATlr9EoJcjMO8MKhWK68OYiNe840xesC4MbV59y5KeIrA0kqeHLvKfAfuuY//PQP79p/6OSx3Rdv/5sH+KB7Ci+cvmDx9Fd/XZrzb4r8VWQjdNGvGANwAfAcwLoC9uJ5fEkr01GVyL2aJVmTLXHMPQluYZAqTws696JyrO0ZAk/j+5rQ14RBShSkRKFtep6d6rPS7XPP0/BLf7SZJw/OM+/APV0zNGuCRiSKXLnNvGjL3oEFeC0cEWcZw0FEpOxNJkVl6SfXrMIFmp7V8t7IjqpLRAXgmiDICHwP33cjNaRfABwB114o+KUfXeFX/jjl/r1znG63GDYk05mhmRoiN3Eg9I3L/eeZFFOwdy5VcoAX79e96SrOC4XoLooprlXFfluRlDl4cyBXpWgpbcz4qm9yfW+96b3VPtOnVt70qc/fn73yRc/7l4eOnD568YVb/2YBHvcPkMX1m0btJ9+SDZ6mUa/jJwlJmjv4bAGgZGVRsrcpwV99No7ljS4ZvypFqgDPT3FVFeYXwY57yNm77MYvhwNZW6zvaTdmIivAHQYO3LM9FlYGvPsjdT71tQ0s9mbYMCXZEDlwR1Z3111gWQsl9dA4BrfaOwpjIOaOxwNWkoC5kDE/NmJ8hcoy2/zQCj1efn2fB/bFdJOQqaJjXROMrFc98CzAPWUbsoW0BRoMXL5D8mv/rMNnHxjwix/YxMnFGQbTHtOBoJlq6imEiR29HCg70MjPA00piiA4f64G6tUbU4iiV6S4PjAhIavArsRPJYDNOLmNMX4ZqOZHnAnizOPuhw4yu3HzW6JG8yOd7uDo3yiDZ2kXqRqXDpa+8M8Z3UejlhGnMZ7SJEnFi12UdkUB8ky7IoEp5UjJ1KLwaxtMmYaaZO2qLHEnOmeWwgbgsgAqB7gyeNIC2/Z2uv5OPyPwU6IgIQwSmrUBntfn7icy3v+5Fp+5dyOxbrGxJZiPrCyxKcA8T67cIRxzV9k7wfNG3PfsNP3YY0s9fz+TDJ4H2ZIkVUS+4uYrBqTaAnyQCNu1nneuj7QNDj3hWNzeyMIV1w2C+WnBd72sRzM8zQc+N+CeZ+c4m9ToR5JWamh4xoLcc3GIMi4uMQ7k+TkUpXdcgqRk8ckdBQupko+ogAltXu0eGg9Gc72uK9/LpVuW2zLc0KJhJuhpn4/d8SzXPm/3P//Bt77wsZVO/8BM6xuPhPuGAL/viRNI/SF0umGrx5MvrfvHEPVZ1ChvGvAK91im1wN52TKWgz6/wGNamxzoVWBXUg/V9JUwE9Ikr8pZx6Ad7eYalx1z+8p6MUI/IQgSIj+mXh8SBH3+6HaPX/6fGzm0MIsfRmxuCmbDjFZoaITQcB32tdBWOyNXELL+lcytBFaeLHYyenFAoBSBNEWASeWj5Dd27t2IU5+aP2Tz9IDVfpNBIty4NRsr+H7m0nzKpTuVBfhY4Gqdj296cY8br1zgl/5gyB9+YQPLaYN+6NPwJS3PenBCDwJF0Qzh5UWfYg6NKKrAeQGoSirjYqUKdNZdgQvAT4K6Cm6XfMgrnam2DRejVNDNBJ1MMTx5ls99+aGXrq6ubj16avWASQ4g/Ev/9wCeZpqHD33fBUeOPvy+wfmnefuLRwjZB5yXQboxD1KNAzyTpU9E64LJ84uRB4/Fh6cMKjFi3Ty3wJRsIvNBnNVZKgYlNXKMuTMH8pTAs5IkDEaE/oCj51J+77MNPvnVOQ6fm6FV95mNYCbMaIbGld5zcEsHblkUhSKnvcPA3jitxohP3Odx4FiNyE3gKtrFKFFuKjd7lkmS1OPyXfCGG7u8//Nz9OoeLTd7JIxd3KA0nifd2DoqIPfLE2TsqrBzXvLT39PnmgtP8rufmeXw2SmW0xp936OhBHUH9EAae+O4LFOx+uXnNU8fYvV5Wek0a/PkOTEZM87k6wLd5cirXqK8Cdqxd5LZpoteJminkMQjhOmzMbqb73n1pe/bsuOVrzPJ8jeUKl8X4O3uiFYj4I8//9j2v/zi4YvvvjOi36vzva8eUC8umUFKDyV14TjLtEQrWWrx3MtQkSR5Q0J5t4uCBYqTVdC2GdOBObALh2Ju4pLaZU1y9s7wvdR27ngpYTgi8EZ0s5j3fizgA5/dzKmlabSqMTulmA0MU4Gm7pi7XpTvpfOpOGnicucFuANbvRwlMQdOhvTikJnQZXHyolOelcizBKbiSUk8Wg2PC7fHqHBIN24yCAS1xI5FC5y88p1E8fKsh1DPEbwqNkz1+ZE39XnLbWf5wGc7/N7H51gcNBh4EZGnqHuCmjKEqbFsLq1U8WRpb8irnGuYnHXkymSGhXEmLyWKGAsoq0BPHXsnWhBrQS+DfgZJnKCyLt//7Sv8m3f0aIknLh6sTG+vzbzoqDEjhAj/egBfXlpAZM0N26bUx+564En/eHuaj3x6wC1XnefKnUOyTNgWtFQjhUemFZmylsosy0Esx4JOUwV2AXBRAHr9CmXVU15ab8fkSTEsyM1V8TI8lRH4CVEQE/gx7WHMfU9K/uj2Fh//6hzDrEkQBMwFgulA0wgM9dBQD0pwR6EkDCWhkya2MOQyEw7ggW8rn0fOGO55pE6c+IQNsybAzB9FmdtZUeNE4fser7ixy598uce+kw0GkZ33MvINQQp+ovFjjVLS5q2lHUhaDPehXBEzLUm1pB56bJoe8G++s88VO0f84e1NHt4zxcKgwVAF+L5H5AlqEsJ8wFKeXpXGDT2lAvJxz8qkOavK6MWKXGFwO5ulTAdXy/2ZKe3QsRH0MsEgM+gshdGAqy/o8n3f1mfThjqnTzzlz+x6/cdS2XtelrYX/toMPiSQDz2176Z77rlvSukUFSq+ui/i9gcDrtk1IvA97Ew/CzLrAZ9kcDmhtytHDuwxkDuGqBA4uCqpMK6QY+fv5XZPK5EMnsoswFVWyBHPS2j3Eu59WvChz7e4/dEplttNZC2iWVNM+4ZWoKn7hnpgqAU41rbMXQslUaCIAkEU4Bx62oFbE/pWfytvxP6TcKod2cKK07fjhZPSP2P7IIULqCRx7LGpJbh0x4Cnjqf0E5+Rm/EdxFjwqXyybl6oATnRmVPEOjr3aVt/+DteMeA1L1jhK491+fAXWjy8p8VSt05bBvQCj0AJAikIJbaHUxo8kcc1bgqBcLbfdRh8rX+leuON1zYyU+a8C91tBImGkYGRFsSZwegM0hGYEa+6pc8tl2n6A4/BQHPo4a9MXfeCwU2bt+z6PF9neNDXBfipUwvhUif77b+453DjTN+gdYwZQW8gkCrD82K3J2SeyagAXLu+SC3XAjtnb8pA0hT/VzlzY9LEjBn0S+2v3XNmB+Ln2QyZsNBNufsRj8/d2+RT90xxvtNARBF+06flwZRvO3lqPk52QC0Q7pDOcup0dyAIc/bOAe6lBEFKFMQYk3DHoyHHztSYnxX4UjsdK8pG3wrbFfZTJykGI59dmwSvuL7PJ78W00t8Bokg8g1Ball8lJjKKqWKfDVCjskUU6ycZeCfph61cMQ7XjbgVTcu8Rdf7fLZe+vc/WST8+06AxEwCDw8X+EJgS8FvpT4wjipZVCIijQcTx+uQ+Zrg83cfpuDWwtSgzsEsYFE25gNnYEe2cMkNKOMKMiIRzHz0x1U8EBjpvH83zbxwhXA4K8F8Mef3Mfico+nnu4xlBnIIZjUBnhSo2SK8ZxMkRqVuR2HC4DLcb3NOMDz7hGzRpiI8YCyAmwhtEsHavcerBwJvIQoShiOMvadgqOnFR/90hSff7jF+ZUG+BFey6euJE3f0PQ0Nd9Q8yHyLbgj384ktDZTWTmE+7lxINcFyAPftqcdOq156kgIvu+WeVMp0YsxFFR1aZY5z3RmxzlffeGIK7f32HuqziAS1FNBmBhGCpfa046982xKnoIstUqRZy9qE8pNH/AZxj612oh3vXbEG29Z5YuP9PjTL9c5ejpi76k68WpIGnoMPQ+p7FRfBXjuOWfyQrpQBv+Tj2p8lYNau9dp/vkNRTeWziNQnYBJ7bNOwGj7M5lRiwbUo4QNesDK+f1opr4ehJ8b4CY5JoajwT//4z95//z3v/kcjxywmyjpzO0LExpklqKMZVqpFVrmoFYlg+ds4gBeNgOXXe8TnWYOC6ai+Yy7iez2JXaXh4wwtJNU0yzj7BJ86U6PQydr3PVgjVMrNQ6dbkAYouoekadoeIaGp20WwbeD8yPfjmuzIM4P6Q7lAI7T3A7cfkboW/a2N1bMkQXYc7SOL8fTg4VEofSDF0FXUSvIexp9rtw14NKNfZ4+nNJPfZqJYORBkNqZgKoCcClFsUFAzuQwmX4TRTCb91Emmc/ID2jVYr731SNefE2HUysd7ngo4PCJkC8+Wuf0UkQ28NHSIwkUwu5GUOy6IXEVTyhkCxMLcNXSbCqyxD4bl3HJ6/QaTGYPnbrXqX0daxvveSDShIf2CB7Y22Spe3j+2173Q//80adPv+f5V29dN3x7ToA/9OhnEWTfddu1+xpvvGWFU0sxzx73+NiXIw6c8Nh32OfiXQmBn5AlmZMitlfPAlqVbU9aFqm/grkRlRxTHlzmAYyZYO6KFFEZfpiRZIbDJwRPHVZ86cE6Tx8JePZIjc4oZBSH4Aeolk+oBHUFdU9Tq+SBQy/3aeS2WesLD50sCQJFEEh3A5hSe/uZrSz6VudHQYLRMeeWJSMT4nmSQBq8SpptgsALkGdmvN8xTn0EHhtmY6Qa0kt8+p6wmY6kNIx5So9VIGXhdAPyYUeU8jBvLcsHI/mZKsZP9EcBm2didm5KeP5FIwbxgH94pM3TRwO+9EDEU0ciDh+PSFIFocJIBUKSyUo1qFrMnwD4WHWreM7zwboEN06WmMpzolEm46KLYi7ZkfGnX6zxZ1+u8eyxiCPnp5luthszG+/4rsBX7/lfYvC9T32RlXZHPfbM4+K112nqoce1F4247uo+QWj42f86xQ8dnOHaaxJefeOIl18fg7Eej1rdOJaWoAVZYgFflSj2s0+OLXAOMje/xPcMCI2QhiQ29IeW0Y+elPzx7SH9RPH4sxEHT4Qs9gJGWQBeAMpHtRSBFNQU1JUhUthxZsoZj5Rl7cAXtuhRBbcvCZwsCQMIA1zWxJbMfU8T+KmriCbUopjzKxlfur9JuxsyMyXwXC4+N32J51q+K16dTEtGI8X8nOI1twz54sMDjrcbDHxpZYoHfmrwkzxn7XLsMrPpQqqzTmTxN7TxKn/DAj3IFJmnSH079iFJfJtK9RMaQcKLr065+YoRb37pkP0nJE/s8RnEij/8Up0jZ30Qkv7AI4tVbt/EePnSO5EyGgN4ngcuXXUi1QitCyav1TP8SCPQvPz6mFffOOLaa2LmZg0/919b/PmXG3Y6ahDhB4bB0iGxaef16mOf+EL69res9YuvC3AhDLPTzfdevmV4bZoGxMmQIBSsrkjueiDk2RMBnIYH9kR87PYGG2btLgnX7054xyuHtiUpgw1TmuuuTmhExo5PM6Koga295qIYztPuC5540mOpI6lFkgf3+Hz6qxHDRDFMFGfOBmjhkRgfLXzwPETo4UlJoASRNEQO2KEyhMpYD7jncr5eydxB3pdZgFu5Hk1RsHfga4IgN2hlBXsHQYJSMXc+pvjk15qowLPptjH9/dwMnufCs6IzXTEc+rzx1gGfuq/DH94xRS+NaDgd7uc6PMmLMqboFhJCFgCzf0pWtH4F4NqNdvAsk/ueIvU8vDSzQFcZStlB+jNRyq2XpdxyWYIRI972sj7DxJbP//KrIQ/tCaiFgsWO4omnAzp96VSSWPcKl0UAW8ZvRJrrrouZn85sN1BmeMcrB1y3O8Fo2DCTMTur8SUIJbjt5hF3PFJjOZYIXyKQPPxUdu2ll0691xh+5K/E4GnSRnmt1vkjf3yZ3Ligan6M76VINHc+GPLJe+oYpcCXjAycW7UHwP5jhk/f2bLaKjNMzWhuujamWbOe4DViewLguKzDak/x8FMBnbZCetLORDGeZSbh2fYg6YH0kFLiS2HBLA2h1ATSAiFQEKhyRp8FuSgbHjzbCJA3HlfBbRne2Wr9nMGzypESegnGxJxaDIhHEeGUJHBlb+VceWNVTEGpSysV3aI7XSvixGemqdgxHxOIIYM0ZJAKap4dgpl7SPKClpJVe6uslN8oVk6tdVk91dr1TJbSKE0zVzdQbi57SpJmqMTWEjyVIWXK9nntVgzNFTuHxGaA9DTttuDhpzxW+9J2dY3neNemEFxA2YgMN1+bMDWjMan9b+rKnruiuz+T6BQ83/Dmlwz5ykND/vLeEJ1mdGKfZ05l6uDp4WU/9U/e1Dq/3OtsnG18fYBLfRqS8++JePxlfusEUZig1JBPfjXgJ/7HDEdORxAqbPw83qqSYmjn+T5p6KwaztzZqHzE9Qvwbtko7nwjBDrfcgHnORWqDHKkdKmsHNSu7CxxG7fmeePKs+c66RVu6z0KcNu2LkXgwB14FBZTy+COxT1N4Kqjvp8QhgknFjV/8MUGeAG+FGWAWcgTsYbBq5W+fEioBZsdrBMnPu98zYC/uHvAs+ea9DKfemo3pbUuQFN24qi8JlAJ9vJzWZTGZcXglR+68MJ4nsLP7LwU3wFdybJoZn3j7rXQbnBQhicMwmTM1zXf9iINInMyE9uWM+FZKT9/1Zij0KlX1EKyVJCa8ZMlhCHTml2bUn7ln60ghODT90pGGTx7IuWzDxx52Wtefuo9cZL+k2/I4I888lEMMtjW3EsgOzy4T3H4TMAvvH+Gg6cj28QolD3Ig4zq+8njZvvmMr8C7CLZXdVoObvlAB8PXoSURQuaEuALW1YOhXUL+tJ+7Umcp8J1j+dGIo/KHBTczmxlV30JcFnIljAwRUtbEOjK4JwU37F34CVIGXPsrGChEyE8j1AyJk9k9WNVLndVOowBz2U64tRnrjVi1+YBe8+OGGQewwzCTOBnBj91OjylyCyVJXQ11qmQn3I7aTcfxSEq0kjjZZpMSZSXb1+unFktQyrtVgpdpmYdyEX+t7FTsoTzqQsHyjwTVrhAC4hU2V1U4LG+rMlrIFp7XLQl5r/82ArNKOPQ2T7PHoxYPv0sn/vynwZZtrbeswbg/+a/n0QbwZVbM6SY4qN3NugMAkZJADXPSgSbCJ8AZoWeCqD/FR5C2GU1D8CFQFKWiO1UKvCFwRcOtE4C5K+L7zmyL62gFA22gRIW7GPglvY5yIGeB58O3Hn3j6cLieJ7Vp8GQUJKwmfvq3FuoYY/pQiqHo5qBmXiDFHR4KVvviz6DEd2gu3rX9jjvieHdNKIvudRSzWxK6crWRqicsOZEJqycygPNEWRlrSpQzdTxUCm7N/0tCBVAi+Tbhc76+VJHdDLYpouCmxS6krhzb2WJbjz1O56Bq21kKdg8HFouN/K/32hSTOPCzam/M7/26U76vKnX/Fp1BZ5xQsWybTh578ewN/z/s8x3aq/6L1/cPuN7/vkiMwAoQSpIHKs7QApKzrrubr6y+rk+qXdPDcs3bPKn4XBgyLVplzJ2M43KTVuPmvcPotiFEIV2MUcFIXtR1wP4HnAmetuL5clxuntcS954CcEfszZtubRgzXwAjwnT7yKQSmv9k1ygM0mVVx3RSufLHLiSeJz/SUj5qYHtFfq9FNFXYGf2s+iMjtbRiVVgFswlA4HOeHUFM6y6mwUyro8fS3IlCRTmkwJUgfyqnktt0PIHOQVUOeWCYF2IKeobucJ4PL6T7B5/tU6fFjKHTNmz0hSa39uRZp/8uYUREImWjeaxne8aLT09nvDue9aH+BxYuj0Rt8W+NF1WRjiBX5xhSR5ct8ZnCiNN19vbIWZAHglY1oA2+6NSeXfL0euqQrIc8bycm+E84DnVk/bXJx3qlhZoorulRLYefOtZW+nuT0KvZ2nBC1jl+D2C3digiDhM18Nue/pJjL0CKSw87cLB2HZRlc6/iarmaXbUhczABWZVgyGPrdcNeANL+7ye59pEmchvUwSZYaRm63uVVcMoZ2c0xM31HMxOWhPuu52UYA7UxKltGV0Kd1oCV2xIlc9QKYE+Vi1OWdydzsX8umvuKqz9vfHTHYYYmk/Z7dvMCbGq9WuqwXDbzNG31v9NwqAP3vgFHMzjdf81ke+8j0L55eZq/tIKW1bFDbpJPLnCR+C+MbvdRzcFWYrCjqUYChKwDnIK6MNcua2W5DkX+MYnKINa4zFXTeMr8bBbccpTDC369kMXHub7+UNB2nlSIhJ+NM7WmQmRBXVy2qAWfY15pmNMQ3ORLuelnY6VJYHmx4Cn3e8vM9HPjtiVScMsohBJvBTChaX0iDT3PCmXbpwUovKSmpSVEAuyLx82pgDuWdQ2soVO4HMOhht9VhWegDyFGXV3VnamPOdNKo6vCpX/moAz3EzYduYsAYYEyLiNoT975nZ8u13jXrHvhg2do0DPE1ihkPvkrjfvTjtt5mrBRiTlQzs/q8K5r8qsCcbV4t/y31fOhYfbx4efz2pOXPQV2d7KCVKLe4cd2PDbhywPSXKTEqRDrQd97Yx2TjmLgNMr8LeoR/z6EHJgdMRRvkoKQmkxpv0aVQE+GQWJT/GmrNNWfTJMkWS+ly8NeHKi3p8bX+NRAUMUkEkwc8MXiqcfHNdOKnT4UgrF8b+pKA68aDa4JvPrclnQnpKF+P1lJN+JbhzL5BxNoGcySlWjxzchcVigskn2fmvBvTx3x+TOEaQZSP81ujiLIsvybLsi/nvFQA/e26Fbm/IaDigGdiLXphlnkMj/dXfYJ45MQXAq8b5qg6vLuuq8HyXabdSsgjbPS9KcNsgUxTd4l4BbjkG8OrwH9ttTwHsolpZMHdG4NnCju0KSjAk/NkddZaWaojQs3n36k046UGpXpVqE4AeZ9Wx3LRWJInH/Kzk7a/o8ujBFqMsoq8CapnV4rmdVUkcuPO1QruceG7MBZBjtmSTz6qZmEplD4nS+YpkitcWyHJMi+ebi1lQyzUMXvrHx52hBR7+qixp1ntZWqyzFIbDEaPBAllamgsLgP/6730KKSWrq6s0a6oYomkvRhkQjf1N89y4r4I4f1tjEmWNTCnv/EmQlJOXyqbY6szBAuAFi+dyRaK8cYAHnhsA5OdbB7oKp2fwi1K8dq+zscNTtnPn2WPwsdubjGSAkspVL8dvxMkK5uR1rFpKx3W40+KZIs08wszj7a8e8qHP93nycI1E+fSlJMi0yx4JZGYq58cOsMzTdPah3d8a37eoyuSZBq9IIdqJv8pZAlRmymGdbiKtyBuVBaQTeryQEhMAL2YfTrD31wN5FXOT1uqxRhmj6CzvJR2dwphSonkAJ06eYvu2rfWf+PnfuvDxpxYhtB9kfKDPeJdGNbX9XBnBHLz5/Tre7mTGJcpEYDYuUUQBnMlxyLLC2HmQmU9t8rx8k1envdUEuPPyvZ83Jms7M6RoEct7OlN3JCg/5sApj24cgPKcPDET9tjJG3cc4eMDjSZy4a4bpyz8eDR8wWXbhjx5ICbTIQMdEGXWs+05Da6E3cjVFpZyMtFQeH7yiy7KCqfzw3jFYFP7PaUhkxbwyu1OIXU5ISCfrpXl3f1FAqAMLovAc+J6TwK8lB/ro3wS4KW/fFJyGVItkeG2C5/3wh+rLy/9i/7s3BYL8JOnzrK62n715RfN/+SeZ5/Cr5WNoONt/+sPv1yPyataexLw1ddCjgOhBLYYY3BZBJnVoZo5yCk90qoC6uK1K/IoXC7cgtsCuBwK5FflSZW9levrDGKWu5r/8edNlgYRIvStPJFmbFUpB+d8/ThlbJpAPiemYHCbUUlTj1bd48fe2uUrj7ZYGgXE0mMgJYHroSxHPjgGr/rphS6KcQbtwK0xyInMinAMboogPQe7ksIxuJVEWZFFoZAppQ4v2wlLLe5AXX09gY91VzhTXeny1KooA+XqeJJMsNIx1Oe2/OTJ4/vvTeLhXxQM/vTTewjDgBMnTxB6Gql8N7EqH55Zzo+renqZYPO1FD4O6OqHqoK6ZHJRgrzChlVpknfIFMCWAqnK8WOqAmpPSjwnSbwC4Lnm1kVQ6Xu6ALfv5f6Lcfb2VUIQxHz0Dp9nDtVA2ixTmFtjK6nNYo949yGf001YYXM9edEck9tNnnyuvrjPm17c4UOfj9BeyEAGhFIURR8lBclYQDfO5KLK5BXrctUToxUoY1cFbUQxFVjJnNUF5ViJchZNOZnW9nEKOS5PcuCP4aD6db7MfwP21hXmzgPzNPe7p4L+MOXUqVMkmU+a2I0hPIBGPSAMQ5o1n0bNVintVs52d4ZyLFvO4rYrIx8RsD49VQBeMcTbD2TWDJQZyxkXgaUo2bxgyG8EcFkCXFU81J7zpfgUUsRXZbbErwwHKjW3ZW/fs1OrVtqav7yzyWI7hMhlT0QlGHsOiVL9/CU9PUfaLk8ZaonO8myKx0xL8e0v6/Op+4Ys9UJi5THIpEtPCpe9EWUztszJpdThxpRdP7pgcwrgeHlmRbnX0n0t7VTg/LxXQS6kqHTf50M8nTQZ0+NiQq6IMcA/F4aqDF42iVQbOexuzEki6fU104mHNgGZuzu8E8cOMT09fcHjjz/240/1l2g1A+KkArKswuKVwCTX5PmbeK4gat2c+bpDM8War3MmV4Jibl7RUV6Z/V3tcLHD3RkHd76zQc7cqsLcaxg8HzdRjpzwlK1cHjkq2H8sQhMipFc055buwWr8ICpZjfJKVr0oJZOLijwRRSajaDfLPDAel++KuXjLkKW9NUwWWBbPrEzxKlmckj2rRi8nuHMbLbhmA0EZfGJntzugV2Mbpe1NoyVOe+fXpSSjAtxauFkquSYXE1JFrJGwYh3sVFk8vwl1FeBu7584tRMIhonPwaPnmNm4+8evu+4Fj+/ff/CoZ0xGHI82K6lfk8ZtamEApGUkKkBkxg2th+rcuclgs/qovuGxlGCF1aql7LwoMi5PRCUzISrBZgloy+C4UcDVPHj1cFtaqyq4KyB3+9X7zhqas7dyX3teglIJn/1akwOLNQhKeeJXUpdrJdc6d/7ExSsDeUG1Ayqb0OJx7HHRfMzrb+nz0LN10D5pZrW4n7nqbjYulUrmLNNyeeCZr8Rrln7pXku3qsj8sOc+cyuGFI7Vdb7CmgpRmcpNXplChikHCFXY/LmYvMyQjJvTilnzWhR7b8axIE4EZxcXuSZOXzMajTanWXbUy9M7nmsKyNnQU+UfENjGUCmsNpNjGtysC/DyvxxPB1YLPGWlb1xrj7F4PtB+AtgFmytRacKtgNvNJyy37WAtsL1yQFAx4s3TDuSplScqoVaP+do+xV/c2WAwDKDu4UmBL8alyeT7r0qw51iBx/X3RMqwmhdPUo+ppsebbxvy+fv6PLgvwDR8BllIIChuNFX8/VIHj+eyLMirxiYbfLobTFk2z6TV47rC2nlQr11wKbWo6G9RCXTL5EH+2oJYILLx4JOKVF0P4GbsuZQpxVaT+a5tlf1/0ky7nfo0Xq+fokno9jMGIytFqmya7+9oYxOB0GYiwHyuMWuMvfFxgIv1mXvidSFFRAlqqSq7N7h9gbwKuEuQ57ZZg+eVI5Q9twmTp8aB7hdsbQ+lbIAZBDFJnPH5++s8e7wOvo+QyoHKzQ2pBJdCjrP4ms+fn7ucNXGZqepEXpPPk5FFTjzLPOLY44qdKa99YY8njtYYpQGZ9BloRZAx8V7yXDgTDG6fzcR7QeU3m0YrgcqlqBQYBdKUerxYUSVIXZllqMtVoxj7JkDoidV7Eg+TS371vVXBPjbmbXwTBYx9X7VIEXggRWo967/9wU8jhCRLe+BaoQzlnagd0OwfsYFM9c4quWgd/q7oq8nK5RhzV1k7DyzHAsxyB4JSmlRShQVj5wAvJ6cWEsUxt2VsUzC1VzyXr30XXHoqIQxinj4m+OJ9dfqDABo+UuTOQSrpwXWqmJXPWbnty+owxmlgM7YMjxV8KgasOPFpNmNee+uIT9095InDIXgBQy0JnBZXGlRGRSaAyLCVRCHsUlxNW+QFPYNbtZ10kZbN81UlD/K1sWCXuiy0CV3NprhrqUtmH4+tTIGNSRKsvp7M0lXz3+ttngD2/c3PBPSWHuXI03uIU40XijZCCDKZkkg3o6TiAJRSuE9l2Vq7vzQGaVMiuSjqjL1psY5EGf/g5V1f3U5jksGt3q5WM5VyDkPnKLTtXO61V50PPgFud/j5FFpn8PdUag8vwfcTUpPxmXtr3PN0DSIPpG1o9isW3jFrbPUQkydjnSXYjC/BeZN5nlHJhyjlQB8NfV56dZ/Xv6jPM8ci0tTHCMVAePgZxXsSWcni5VtYn8mrFWulXMpQWja3XwukFoUOL/L9OaPnq61j8JK9J64x44AfX+knSDK//yvAWi+tWsho9yG1Fhw7OeD0uQRjDN6urT5KCfoDOL+YMowNBm2BLATCmAJ0GONmrk9cMVN5U9VluaDv/IJXpEkO8EpbV3VngTFgj0mVapm+crgdC0qgVw6v3AQ1B7RfAXWeObEZE/uslB2J8fhRycfuaAIBSB8hVNFFpFzZulp1LVi7su7mfsKxfFPh86kyd0WDG4HObOueLWSoonxvjMc7Xj7gS/cPefiQnSSQaEU/E87wlWfA8nScGb8mlfdijLEsXgW6JfZi1dbS7eeTB8W59paOzYV9LlbcXJIUo/bWIbVqcCnKeK2Km+e0hphx5s4zRsbAYKhp97Rbtgzehmk7767radpt6A1tR3zxjwlH3vm7Ke6q567urLk78w9QyS6ML10VYLtDVHLeOcCLOXlVkLvWtHKzKePAng/AL8E9xtqV57yxNpcqSqX4fkqSpdz1YI2nDtbA90Ha4DIQpjI5thpYjW/iNE7e49AylRdFA8TY9i+VYDOzsx6tldZjFPtcdfGQl95kWXyQWRYfiYChBi8TZeCX5elCW0ksJYp9A9bfMe41stobjDJII1AGW/00AmEERoB0yQabRammC6s3ey5fKoAvpOr4jMPJ5/VWuzE+rehzIRwODMQJrPayIsrwdmxpEwWCo6c1i21NL++MLpYOx+TVlW3igo39rnsL+canOchl5U5dC2zH3jmgXQ55zH8iKPbeKXYvzptvxxoeyq1LlJoAd2UofpE9URnKqwDcSZTASzhwRvDhzzcZJT7UfSdPKFrTVHWX4GrmpCoun0uimHGgj2UKKsNKtVlPi3s0Qsn3vbbPZ+5psO+UvfkyrehnyroMM1f8QVj9nbmxHBMrSTULloNIVgp60ml0qQ1G2mtkpLAA16KMlXIm12VGbFyCUkzCQpQ3wTh2JnZb/gaP/NTmg/ujACDh+JLifNu3Mdetr3rtpsce2fczn7zvUQ4dabBtxhCF1sdRZdpJTAvE2B009kfHqlTVJL8oGV2ICSYf38qu6sybNFnJivdDFexdAbbMg8txcOez/Uq97V5LXWpvF1zGJuUTdzR4/EDNtvsIDyVs5dJzHuxqc3FVplC5qF/3MabBy1ShcVkUo93M9TGQS7T2iIc+11864K0v7/EbfxQw0B5oj0RIBtrGCFI7DZ7lMYIFu70quUTB6REb8GLs5zLKrirKgHG5b2NK8OfglsaRkRlfxXLJUpVuemJ109XEAyVWCiw9x/krGh4q/77vGWqR5tKdA2bmO/TUy36m1rr2h733f2x5et8h8bo7H/bZOStcad6+20IvT0iMteRd+VnljRXfr2rw9UBdaHC31FWBM+YDN2PauwB6RZKoivZWxU4PlY2olJmQJLlTMCvA7XsJ+09L/uQrdez8FcveRed+/vcFY+OFZeViVQNNUf2ikCUTuldXvSFllsC4Cb2ZG2aqM0WmnBbPPL7zFX0+eVedPSd9kDFGSIaZj4fzi+TnOnN0lFWpyYznw3MzE7YlMX9v0t2E0oA0VrbkIJZ5Zk27/Li28kavyZ5QmutEeTrGAF6VdWICZjmgi9gwtwYDBRYMnvK4ZXeKri+/Tst909650zDoCLa2JDMNHHOPa+KqpFjvzpr8fvkGhZMnFV0+KUuqOlaOvx5jcWEqwWXldcHYpmBxNQFuO5FVu2ebDlRKo/J8t0pRMkU5Bs9UyqfvbbDnQKm9pZA291100KxlqGoFc4wYJjhhrBSd628qbF7ZGSP3XHhuW5hMliX8OPG44pIRb3xRj0N/EhJnCoRHJjwGQuBllP2zlBKlbJ7L34ETCE4vGSNQxjE6VpoUbJ4fwpQlfgFaWuDrXKaM+XJEyd6aMeCvly5co8vX+b7lCpsEyeVcmgmWOwFJMsuWWo1a5OFtnJaYkWTLjCCKZLGbV+7KmwwIq5Ij/7/139j6N0Z+0aUcB8K4c7D6XLJ2/nXO2jnYc+YugK6qTF7qbpUHkbIiTWQ5NF+pDN9POHxG8VufaDGUPvkErbJr3q0gVQ90VZJMXpXneJT7EZVW0LyFrSzZVzW4GPOnZNojzXzCLOWfvKXHn99V59BpD1TipIrPQAhULk+cHi+CzQmQ57l5A3j5Dee+J42TKBjH2nlOXI+xuXF/R0v73+QsPpldGmNwt/KVscs6p3CC8au4Sd3nSIQAbN6+24tQjRrNtIbne3bwZLNut+qoboNdbZyVlQs4/ocn2LsqZ6rSxP1+7nJbjwGrwBYTrJ0XUsbBrUuJIscZ3BvLb+c6u6q/K4e0LO57MZ1Y83ufanHqfAjKc6lB6eSJGct7F6+rN+96kuzrAZ2KVCkaD6o9mnkJXxZH0QwhFVnqsW3DiB96U5df+nBAO7FTj4yRjLSyacMsfx8GMkGZNixBXv6//Ylyd6ExFMyt8spmHoBKUzK4qVw74wqE62jvtalU9/MKyL8uk4v8RnIsXin+ZBnEqcJkmvlYEqQCL3K79jbrPp6nin9wzBE3wd7lHytPU5nPLIE/ebfafRcnI+tx5s6BXTYXm0qwaYrAMm98zfPfBZN72jG6LqSJlSO6IlVyxk6LZ08leGHCxz8T8r4/azHSvpUnQhXypGgqnkiJjenu4rNXYb0+xE1JoJVUYRX0ecneoLUuqptFCV/brcAjL+VH3tZj/7GAD3zaanFQZEIy1LZ3U2YUDF4asPILVxbuqulKC+pSshjj2FyURrH8Gol879PKuTGi4kt3JKfdNc6l3FiNZBLQaySvu2GonHOn+9Mcr0CSSPpDCCLwZqckOlG0Gp6b6Z0n4MUEK6/H3uNvsPqmqk7BalZhkrHH9beZkCimEmS6LbqrWwaq0uyklK5IlRzMFSaXpTuw0N3Fs501uLwCf/6VOiujHNwW4L602tsT4/JkbNXJ02UVPFfP1RhjV4oUVVfmuKG/sklupdOn8IlLidIKrT3SzGMqyHjLK/t88t46S10FMgGtSLB6fNJdOH7LPTeT2zpQWRTK/SnKBZs4FreArrC3YYKxy9J9ngQpmb3anDGBpSqjTwAdxjV9/n57fc1SW6Nlhiddi5FSIJH2NwrpYYp/udTc68uSKpMXz7nGykFflSWUjF0t745tX1f1eBSBZbXBYDyozIfTlODOxgLMPMjM97nxKuzt11M+c2fEg0/V0BXtbZsacnky7jcpWrNY/2aezAqsfTj2rKQKx+zIZjJ16IJOI1GmzIunmY+nU26+OuYNL+jzB58NQMUgJEYIRtpDCWG3IMkDTVFe30m5QiUPntdETJ4+zL0zUiBzTS7tjJfqqmYcwE3lmmvh/n6F1algpZS3ZgJvVDC5llwnb9NMlyzinV/OWFm1e6PXIpvZWI96Jq/P5PJRZfrJC7w2mCy758db08xa9hbjwC6zKO5rZfDciDEpXcZEGqerK5Ikz5jIikSRNnsS+gmHjks+/JkmZ7uB3e9a2kHvSlDu2LDO6jN+iDHAr3viKo+xQk+F2Sc36yp2iB7rurf759hnu/3JpkbGu97Q496nQg6dkyASQKGRDIWsbCJlr0EOiSKNWb3hqnxeVDPddaiyubCvLZjtTZEDW1aAngPaVF7n76Hwy8jxvZnWSuK11XMx8YUQNqacm1bMzyq8fEsRJe2skHzfxbFGhkpZdA24GQfzGt099rVhvJRbAlutAfla5l4D8mJG9uTrrNDeRUEnHwesUpTM8FxaMAgSRpnmdz7a4p5Ha7a3TXpWe0tpu3ZEOX+laCbI39/kZ55g8uqFqF6MtRXMMmthKqmv6ma6pY3WtpvpPKOSaVLpoVKPlz4/5off0eHf/07AKJW2EVVLUpdVkS6is++tBFj5xkRpkc51uHQSJb8pjeuud0Ug7VjcANopAts8IcZXuSqjw3jDub2TGC/hlyy/Bs0T+MwfOZasFVnizU5LpJEsNaSVnWI9l9sEwCfAXiwXYvwNlwCfmFpVgLw62Gd8tkcRVArcNCXKzu4JBleOufMJqGPBZSFLbLbEDpRMCwb3g5Q7Hvb55D11RrHvJuha7V2wdxHYrq1cTqa/qsuqPdZvOh7zOjtgl9KgNF8ZlbsMx73imZZIbaVKDvQ09ajVU97y0gG33zPgSw8rmzbE9dkKjwFlfESeG6/IFSPzHEulhG95vfSlSPu1EaDc58vft3QsbaQz5k3obMvojrXNJFbKFUU4cI114I9jGZycsz2m9oQKIciylOV2ivQzvHoIaWSYauhiFko50quyl/x63qpJwf8NgF0NNoqvJ2SJEC4ql5WMRTGLsJywpERFexeTUHXxumDt/FAluD0H7sBPWO0ZPnNvnX1nIitNhLXEilx7CyoTpMwacBeSpfj8ogL0r6NPymtUlMjHiKUqVSYKP5N+cSkVUmdI7ZGMPHZvTnjDi3s8uCegHbvyq7Z6PEaR7wMhcbnxMRtteXENtrhT3JCuV6BshsjZ3EmVgsGdh1wYx9hlG5upBJTSvgkXmFekymRsJ9Y/b2VK1ZGC6xuO45T+MKM+yvCsNDE0ahqpNGkGaSrtc1amf6pmnDEmr4Jc2NNSbVnKQcAaxoaxgTFiXHfLqiwRlqnzlFQuSWQB4ArI5URAmRdyqlkUaTvlNRn/87M13veJJkZ4Nu89xt6U2luu874nAsryYjzHtnoT7G0qy+x4LrwqU9a2suV7kGqt0ZlES5sXV1KTZD5SaX7kzX0OnvZ53yc9krQEuUYwEhKl80ESDtzV1rYC1MKmQ7BALC6/yOeT5GzuKptO4xt3LU0F6PlNkGMAnB43ZiyvbUncrYh5wmMCd1X/uu3uMWSZHXyUaYhji2OtwWvVYzxikpkRSQaDWDEC8p26ssyUjaiicj7yz1popQmmpmToKtDH04ElsAt5UowGKwFdTDQVazMmMge3mpQn43vWK7f3jNXgCX6QcPCs5JN3Nej1fKiptexdeL7LVada4BmTYxOv8wDpG3G4KTVARQ7kWrycW6J17veoAF3mQJdoabW4lB5JktFspLz5tj6f/2qNg2dc+dVtO5MJwaD6TnNwmxLspgC1a6uj4hHPJYksJ01p4XLmjrFNgYcK0GUOZrtqTMoXAa57rCpTxrMn9jyVq10O7jg1jGLNMIZuX7Pc0UQNjbdlY8ywP8BPV+n2p1lcjVw7viu1OlO71hOpm+eUJfn3Kn4NxoE9zoAV1nY3RD7MsRpcVgs7UlQHs+eZEz223YasyBIpXcbEMbnnpYwSze0PNPjKY84tKH0L8An2ztOWSohxaUW1GDbB5BMB5jd6FGxelO7LQ2tXPSx2jLZbkVjdXW6dLrUkExKVSbRQJCOPV14X88qbB5z4nM9IWx3unFCkeIyElRtSuxBSCLtciHL3aVVFFnnQ6UCel/hFviFCnjWx4JXSecfddTa5VyVfsXOmLqSswGTl65y9iyC4Ggsbu5msBTmkqWEYG5Y6grNt2D2UNBMPuemi+dXVkfr8o4cTmo0uUVCOi6iusGMB1oR9ddzdlwOx8vNqQaaqZ79OPtt6ShwrT3xdZExUCe7xymVefs8qr1OktJ06Mki598mAX/7gFJlx0kQ69hbS7gMkyrL8OINX44f12fuvUMQcu2Dj1ctcpoynCzX51CvGA86qJi9y43YalhCCn/r+Drde20fGKWSJ3TlYJ2AyEg0DDSMtiLUgzSDJhOtQF2Wnev61m5GTjnWxOxbVtlEmy6r/TXU6Wj4hrfp7pvidQmoYU/y3xe8XQ6eqRzWRac/zKBEsDzNuuWHAJRfJz0/Pb11VH713a+8jn+0d2nci+GEpNM2oTn+oSLM81bKWocddfqUharzbpmKSmrC2ljeGq05WnYBjKcAK8ItDl4YquTa4LKTJWJowL+jYXsuTy4Jf/vAU9z7WsJvyyMBZYn08KahJu3OL3eRqvLl47eEaoIshOePDiJRr95JqomG6QhTl16JiVZio6lZik1y+5bJOVKVedbcFA/NzKaFnePDJgNWBnFhqZDFFvHQc2oudZ4DGH5Vg47keotJdWZFe1TRj+ePJ74nqD8e/t16SY4xcbH32uiv6/OibMl7zvJPvunT+4X3eJfM+UgoGoxqP7fHxjE/olwn3fOUay3MXgDcTwK8UcHL5UZEh1UBy/QDTrAkwc2kiJzR3/vW6h6oGls4K615nQcaHPzXFX9zZwOT7Dkmrv4WQY/2W3hr2fu704NhemOtcheq3117okslLVh/vtp/s8NHSjGlxY3TpUREKqTWZ8JCDjLe8bMCzh33e8/secZiOJeqN9hk574xw8sQNwXESpNxm3coSO3ul6ARy0t1UZIt0ADGiLN+bSn+mEWIML6KSXRkzY7nbQpjq11UsCpd1E/i+YHZKcP3FDQZ9n6cPBbbpeMOUk14N2zTe7kKzZncjy4E2fqfkzFEF92Tj7cS86oJd1imUOGCPgbwAerW4Y+z2dZWCjqwyuMwqmZQquDNkxXvypYdCPvi5BsPMTcEXeWrQtuoFwoxp73VL8+sF05NfT0qV52A+44K7PPe8pqKJWWOhNbJS2ZSVzIpQdlmXzpwlNZn2CH3N97++x/1PBHzpMZsuzHPjSIE2HiNt29EKB5WeSB1WCkB5/rsAfRXk7ufaNVuYAsCUeXFpJoBeYibX8+WqlLNDmd3IV5lyFbMj+xo1xUpXcXrBI4o8dGbw8uS7JyEMpL2BtXVoWZE/Xj6tgnu9gLEswZtiPl1pka2O2M3/nUlAjwPd5sJ1BejrgXtCohQbl+ZHivIS+iP4xfdPcfhUiPHK3ZLHtXe5udW6hZ11bvZKbFkCOcfz1xHkZiJ2Gq9oVs1XZlyPT3hTtHSOQznO4iLTCOEhY81F2xL+3Q+0uf8nQrpD92F08SbJ8Bia/D2uBbmRVvvnoM5vTuUCSvtzCvuslNhsjBRF03rxrMtU4jio8wC1as92Az6LMzRuh7AjRKwkBBjGgjixO5Rk2uBdfdkWpFQMBj16nSV8z/7XY663MXCzPrjlZGakqhOfA9hVuVIFucDlvXUlD14BtgN9UbwZK+ZUdud1W1B7XkKawW9+vMljeyOb85Y5c5eZE19UB2mW6cE18cc6zE1+MUQ5dHM9vl7D5BOZk7IBopoOs2amNW5DYRnc5K9zRs8kWrgjU1aqaM31lyf82He0+fWPThNnEkjdxbX6IkMx0rkWX4fJnT5QolLlFHaDXlNl8xzsgrF0YM7YY6zu8GAQ+d7ZgLGW2Jwy3KqSF9PKwLAi/4zNg7e7htbULMJvkmYZ3tvf+jpqtQaHDz7D3Xd9kVSr8eGaFe6Z1NWqKkHWkx9yIs+9DqDzf6cE/KRM0RPMnb/Oyly4qm43Pc7cnkrxoowvPxDygY83aQ98mwN0OW+EQghRsLcnxtlbyHEdXo5mW2cG4VhYJoqvxSSgJ1h7Dd7HgG7GMiola7upsLkkKcYuG7SwacRMKqTR1q+SKlqR5gff1ueRZ0Ju/5qCusj1hP3jUpBqybC44iXIDcJWMnVetTRl2V6C1I7NHbi1k3nC/Y6VJKaQHDnAS0OW+28n2BxhpbLReescxQpSrInu30gSzUJ3yAtuvpbrnnc13W4Pb6oJYQQzUxnNWsJSJ7CpUDl+9qsbG4tq8aOaSSnAPc7Y44CvBJL50PSqLBF6DORq7Hs5yEvmlpW0oHR6O3cJSpkivZS9Rz1+62MtDi4FdjKQy3fnuzbn7L2mmXgyqBy70asksv60pnUfOQNNeFFKFi8LK0UjBOuV8SeGBOVGLKOLTWVFLlWEQUgPmRgunk35J2/vcvSsx4FTAuNVBZYA6RcgFxWQm5zJhbE0q+0EWuXK5Ln/2d4AeaDpAEyVtcscea7JZeXcmVyiyPwU2iqSkDbvLdw5Kk5nTjbu3+sNMvqxITOKxEi8U0sZzaZh7/GUxw+MmJuq43kC4ZVBQ1nYMOXFH9PL+U5blMxbAfYkiNfIE7GWtSe/VxZv3LPQFSavGK1kKU2CMOVsW/CLv9/ik3fUMb4qy/FOmqzH3qXve21JvgrualFnTHKLCZBP0Pi4YWgc7Pn31npSqjo8B3Q1AM07f2Th6LOvXfCZaVI0vrRZlfZI8pO/pji3KiCsMrnAzliRDIUDMsYFpmURyILbfmAjbaI+Z1cjRQHkvPnBlEqoqITmQaRxfhSjS6bPveha5idEFJO1hDsveeeUFG7nak/yvMsyLr9wxKb5mGYtRq50AgZx/eyZRf+L/WSOdje2VUyzvjQp2bUyk0RNFG3WFH3Gd8lVEwGjUprSSDVpf9VFqV1VHIPVcnw1ayKlBbfvpcRoPn1fjS8/VHdekzwlKB2D5+xNpZm4UoqvPk8yd0WL5ydKTAC5APx6WmRCrqxxcLq8bhG4VdrI8gxKVY9nOrfSVkr7RqKNKopA2ljHoTCSV79gyBtf2CcQKaSpLQCZ8jBGk2oYukJQoiHRgsRA6nZWSDXuqBSFDEWhKMt7Jd2xdrtCKoWd8mfW7GdcsYfCUJXPp7cmq2KdQ0q7H2o9yrj60o3s3OR/cXomOLtpVqHe/77/wc0vuHm1HopVJdJ/sLi4QL0WuG2vcUMrKYBcTHDNizRjgC2LNNWRDrL4/UpFM5cgayywuvz31GSuu/p17g600qSUKXbOSSY1n7qnxn/83SmOnA1dE0NZ0EF6CCkIJUTSDrL3BG5rvsrUrOqNnOtxWQ7mL6bcCpBSlg3bYnxIv53UJccLN3mmbvKoBrTV2Kb4fiV9Ke3YBylzL8da5+ZkHQNtmG1lXHFJyonzigPHPVvwEWLibrUpRe3u1LVZovE7PHcUjt/jaxvkJqVZtRhUfSpnuorKSpmPMinnViolCXxB4CVs2nwhQs39/44fOfHArktus3v0pGlifQA6K0ZFqLGTPg7MMRCPSYlq6q+isQXYvdTHCzqlXq9IlwlJIl0GxW4lXQaYcgLcVnM7p6CfcWRR8oFPNNh3KISmKiSJLex4a9l7EjT56ypzVw+Z42Gy+jfB3GNfl5d/3eASgR1GX2H3ShZFFi4619qGLd9LAVpLJ0tsACpyZhfSZXesVBHGkGmPZGS4/OKE739Ll4eeCji6UFmqiqATjPZIpXAbQ7gVJQ/6hHvPopQsxuW+lQtI8+5646SIofSJS1ng26UOTSUDIyoyzwa55e1ninS2MgbjGrLTDJIkI0kSkiQB3CZUz7v2SqIowvcNy4un3K4Ibr52wWgU06NkwW66kCtj2rua7quWj6vfq6YGhXb58kkNXoJaiqoGz9zXTpoIdzj2Xu4KfuMjLe56LCpdgnnFMge3tNKz6jmpdp8oUWXBtWnBNcBfS0DPHWhOMFi1u37MVWiq8sWVtbUFlHazAY2ogL9S6RTCZlOENu61sl8LiUChhSbra1523Yh/9s4O/+n906z0y2yKM3c7wHuk7o41Imfr/AYwJfDducxz5jkeqsUgnWdFsJKj+nMhqjreFBuVGXenZy7ozbBVV5FBJgypNMSJwVce03M72L7rSkbDYX6PwrZtm7nm6ituHw3avzw3UycMIPTzPdsp5mxXB+pMdtaowu2nixtjzCeizLjEyB2AsqxOesX3y9+Txe9UKpaVnHcOcun8JkNh+J1PNPj9jzfpJr69M3PmdlkTIeyY4bxbJw+cVRW4rK1ejjF1DuZqIDnRYvUN8D2+XFe192RevPo7YwWfif118u9VO/GNrLS32c6f3JSVph5ND374bV1+5C1daiYFnTlDVgomqWhzq8lHxury2FhdnrrnrKrFs4pBa1Jz5z/P8o1vKbT82t8r9XmqKba2TLUhTe3XSaaJE81wlJJon5Onl395+87dt0/PbgKcG/K//uqvctHOZiIYXerJ5NsFMUFAsYd7PuvPHxtuWYJdqgn5MqavS4lTPOdbRKvx363muieBngNbjGVOKpVKlYKveepgwH/+4BTHz4euFO+Xulu5XkshiCRuE9dcd5fa28tNY6JihCpeT5qlRPH9sRnmIh+c5LS3LLdeWaO3pViju/MS9PiAJFP5b6o1CbfCyOoNWd2r0jDW4FtZhTCGKNBsnMm492mfcwsSU1RUJtNDcswgNS4aHANXNPeYyUpUVqrK6mW3wBknhbJSWtVygmpQbnPforjxs8ygvIBRnH3kjjvvvu8N3/ZtJYMD3Pay1/GqV7+JSy65mMBLCX1DGJR7twfFDgnV8cO6HHpZAeyY9VVNBInKrGFwNenjLlg7WycV6PLdFZBLmaL8jGcOB/zYL8/w1IEQ48tSlhQMLitpwdJzMrlTw3qpwfVkymS/ZfWCr5ErfxUaL1VKhbEn04XlFtxjm7hW+jaL6bR58SdncVNpkHAjJzLjoWPFtZckvPcnV7nq4hEk2ZqsSpXJMwMjDUMDsRbEGhLjLLeTbJ5nVDJRZFOqLJ1qu2hYRqdYAVJnqU1ze25mXLeZPZLUVi5HiW126A4SLrzwEt761rfwxje8oTifXv6i0ZohDGv4QYSShsA3BXuXzr21TQjjFk69xhlYGq9y3a2L3PdYDlwYRKWgYzW7A7vIpUpFkkhtgS1TPF/TNZLf/kSdx58JyYpiTlV726kgRWApqhXK8U7+PGKfnDu4ZizEBOiZeP2NEL6G0SoIN9U+zbHvV1KIY7nxfAc8C3qhBVpIbCrb6XGM+55010UhtCFD4wnD9VeO+Mdv7vFTv+7TTQX4rN3uXuZvUxK7cnyQ58ZdMKkLz79wHhRb9dSIQvbldcRqscc2RIxPXpDGrXSGomIrXT48kwYvPydaU69HbNw4T7/XXwtwKX2kCg9GUe3QVKt2sScHdlvBseCvEkxOOP5EJWMyWYq3S6qu/M44wEUF1Dmwi6BSagd8XQG2LqqVnp/S14IPfLLBx77cYKS8EtCiWrW0KTpflFvu5X6TyarlczoFq8HkWGApylV8DbK/PodP2mbH7KmM63ANxSjjNY0RrF8MkoW9ViOMtFvSGJtNsQGoRBhFpg1Banj7K/vsOebxgU806SXYE7YG5AbwMAgSRJHNyUdI5BkTrfMAPp8664iEyvaDTK6aopyKlSclTAl2LQzSbSsuhZtHKDJmpxo06vVDtSg4mLoMCpRtdvyX//KrfP/3vOxQoxFuJF26zaSLhIEoRhAX01rleMBZ6up1RjpUctlCGiaLQJPe7tJBWJEsYlxzF+AWdphPLxG8/y8b/Offn+bcsm/TP5XJVIWhSko8YRsZgrFGhnU0d5Gnnyjb5/q5+vXY96s6u6LB8+9NavAJKTSuvyn800KOj5kea3CYzOpUbsoxKS0otHj5O5XXDgdTrYwbrozp9AXPHPKI08qdPK7HHOpdcOv0N8UNytjrseIV5Q1K9XtrJNqkg7IMxnVF4gxHGVu3buGSSy76zWf3Hvm9F916w1oGBwgCD+nVPjvdSt7ko6/Lshjt6vXjRis9bqSqlN9F/vPiQpgJSZIzfJXRdYX19RiDl2V5x96i1OAyMvzFZ+u8+/danF3xLDXL3ERVMnc15104BqsAqxZT4Dly32Wee9xgVT3ENyLsb8jmpiJFqlIl/4W1pXuc4QprbXasnTN4/j2thWNr10CgtUsZOqni4JnEhi0zGT/zgx2WOpI//EwTotx/MsHkeWQrbF+oEXZ4re8Y23PmqjwXXtYaRDG6rzDiUdlbk/HGmWJb9/x7RQ+pBbkhoDtSj9dq0WfTbPycjgH8ostfzaknf+zeTbM8vCri6zpdSaq94l4UFdCWnpLnAvL47+fsMS5n8tf5DaNLw5UDuhKZBXwOamEPFWoOnvT4g880OLPgQyQroJ4MLK3m9ouA0rgTnC+Zk4xq1oB3wvSNGBPjOcNV2e0bg/nrAj1nMEyxN+Wa3k0qmtzlxwtp4nLkJn82bvtu51URRhY5cqENtoXBgj2NDVvmM975bX3ufyLg0KkAwqwEtqy++0IEoJFWrgAZ4GP9I7nHR4vK9jSUYM9BLZ3JT1I2QhRgl5N2CXuS49QwNIpnzwwf/rnfuv3ehz/xCJ5S/AAAMKVJREFUH54b4ADN6e0IIVhtnwCGeCorAV4xR5VLpFkH4FXQ5zeHRqz573T5ulq5LBi9LOgUAabIUIHm0GmPn3vvNHc8EkGoKsy9FuCF9s7Zm4rMKE7k+hXLIiXHczgL80xKJWtSZfpJ/0qxBFdz3fkZrnqUzSSQq0u7KbIpcsJOW/6sZO/icAUgoe1YM1sIKqWLNhKhFWDQQ8MrbhjyCz/W5mffO8Xh0wEEOZKdN1yOCQrngLJjKbRjcyVKoOcN57kOLxISVIBu8mvhhkDl39fjkqw4n8Yw3QzZvXsrWmsensDzGoCLqe9GSi+Oj/0pmX4W3x8PCss5J2aNPKHK8rAG/GvYvAruCuDLymXmWL1kb+Vrji54/PxvT/Gx2+vEwm1zvA6wcYwx7vNezym4tqmh6vWGSpaEiZ9NAPs5H9UfTtB3IU0q4B/7vdxCW2RUJn3i1pw0XtksGyHK7+dgl06mWMOSFo7NUeQO2UwbIi/jHa8akGn42d+c4tj50GZWCsp21j5hyvNe0iGpEWQO6J7Ajn7LX7NWroiKNMl3ZMtEVT5WmL1SA7jhii388x95Q5ymKR/5lW8AcNQ2/Eb0E9NzF12ZjY6+TJi2NeGNSYqKDgcogFuCGijShhSgHi88VHW4yGWJyP3fGiHyrIljbk9zbMHjp/77FB//Up1YqolK5eRhT2g+vL7YzOo5jvL9P0feu7I8TjI1+ed0qbm/1sNMMvaEDxyKgEvkIKf69dpKp6ikDUEghSxK/cLOXgNjnDa3ttdCqqR2V+jvfu0AT8FP/8Y0xxaC9VBTuSM1bo0kLwylFH3MdvuTXHOLfDWtZFfyOMgBfjzrUn5PWdcYG6YbXHX5RXdefsmOnxhU0oPPCfBWq8bJg5/p+EG0LwzES9CpshmAqqSY1NYVkIuyfpUbjPLfh+pNYsbAbQcF6RLoFRZXIkOojNPLHj/zm1N8/PY6cZ7uGEsFlkFllb2LWSzCrJEnpYwad+JBRbpMHGMIFtWnCt3/r6DcjD2Vr6t58mqAmScSJ2SKJidUUYK+0OCVwFPb7E4OcqMNOq92ahDYJgmknWHikfH2Vw1IM/jJ/z7DmWXfonTNh5AUmtxox+jCrjjCbU0u4P/f3pfH2VHV+X7PqeXu9/aa7k4nnY2E7CSBsITIjiLCACOIOuD2dFTcGB0dUeeN+kYFfSqo4xtUdJTxKSMqCqgQFwQCshpCICFkT8zW6b37blV1zvvjnFN1Tt3qpgOBgG/O53P73ltVt7qW7/nV97f7ygwY0pEoXU23kxvKKJf2dI3Hi6guJ8hls5u//+M1I29706ufG+DhYENXlUp0ZW3MX8ahUvoT+LbUZon+WTlpif4e8XHok4NyOSsje7cCOiFCyaQWg+8QfOf2HG69W0puQmOgNt9JyLtheCz1cNNGE1ukXJqezIT0NN2yopZr93yy+NY5uQ5mxCS5WEHCFaZEl7k3RvsRbkhxkTwegVpxb0FdhHVFpIVJLi75OJNHaYPhsldXsHmHg+u+V4APwKjMqcDNFWWhEcgJQZTxoCIQIUN0xc8NvUVREbVXIrpMKHDb8h5yWPDc/JMHBkav6mzJJ17fRIB3zzkfA7tuDLgzj3uVgwC80FWuAGlIb+09MiZEpd5CgAMmXYGgJDBoCQclgaAnskwEbII1D6Rxy5oMalSWzKJJnNsKpUbksRyfe4ct9hJpiAloHbg6H2+AcwzZEwG9wclj6pimxcTg4URTVLm5DY/yJgWYeSTFmbI5kwjYEuhMejchzYiMWVDuRiL36RKGy88t49FNNu5+MBtGFEagFvc3Anzor4SS5IDU2MO0M3HBI3XVvLiReTYCty1pZ9qhWLFkNt83HAQff1+j9B4X4ACQaXktWFC5ZXhgyzyb78jZMltGdxiErSZ0gMeHDhAj8CduXVHA5iA0AjexgDvWpvGxrxWxcYcrIqToxLyb0kZwq0jBKFvH9KIleTCBSJro0hw6+A2LyngTYBII1xdryqX6EoE4ekU0BGEamAA1JKdWtIQb1pQkmgLOQysLY/KeQlIXSTsoOBbPqeMrVw/joxbwq/uzQorHrSmQwTKqSyvXH3EEWiaD/J4AGgmcKHiLICAEHok8owtntY69/aKVtxRyadxwTfK1HBfg6XwP37Pl5q85+TlX5YJ1uZRDUPNIJLFD8PIQvNFNG+fWEm2OamBXdISGYJfgtoFf3pfBJ/5NgtuRjzuDkpiSm0gqkhxIpWvpcS8iN8CtvxD/rN0GJHye1ODj/Ei5upVkRiSZEf+uLrnBz4WTX0htta1oC65bUlgc8Fz0mCTS6E54RF0CFkllUudYMNPDde8fBiXAHfdmAJtrYXuyaj9RdEp6h0Iwa+BOmuDh7CbRb6BPEFFakVEfZ5x8fN/ax9Z97eq3v35ct8L4HBzAodoy1Kr92Pz0Giyb0Ytje0QuHiGiD7wCqqrwCa4eneKAQjkdP2bo3J2FdIfSAIAIp4VN8Mv70/jEvxXx1FYXcK1IqYQO6kipBI2ZBdFo5zYcOXFKMt4ymKCOA1/XPsPtJqtoxuzhPLZOv+cRDWFm7DiBwbtVqeuw9JqsnKVAHRXWp4ZzCFKqK7CDiWtFweW+LZGkUA+weJaHz79vGJwDd96fARBIb5QOZiXFZUFXJcnBI33CALb2FAjU1ZZDKVABx/zpZZy1wsaVF01HU1Mzrp7g8k4IcOrOqG3ZVnvPht0rfrJ4+q9ztsVAHXHZ+gcoKjVxAJk0R0tbACI0B8AXrmEBbl11iwAuQKCUz0hyEypKGfx6bRrXfL2Ip0NaErd165I85rGELrlN7k1iYG8wBwLjSvJ4MJUpyYk5E7Q1SUCPm7qjDXmkYKr7rhaHoCAxQEceTcSAzjiXVESnLMSwtITWFmqCnhORqU8skeQbZqIDQD3AklkervvAMBgHfr02I2eEoigqp0+eAE+a7VpcAucgvnA8ARytbQHSaYGcco2gr1+UeRC79fDG8+aNzegk73Gz3bWJMDwhwFsLg+z0E+c+cuaKc4cLlXtz5dooHn7GwkNPp3HX2hR2HrBgUWBqZ4A3nlsF5wzTWgO8akUduUwAJ2aXbbzTkbIKAhBKwCyCux5M46M3FLFxuw5u/WUBME2CIMJApZsFk+3dZpwDkRPNcPIovMoNIiAn1AIHacB2EsaTwN1wq9X91oQbj0v4GA8PJ0poMeGhTZwxAe7QusKEuzyiJaK0BAEHsaLa4xEnl3UQGY3c86HphgF1jkWzPHzpQ8PgDFjzpzQCKiV2XJFsOOHI/u6AI5thOO2UKqa2BQDnuPzcCro7A1iUYMd+irvWpvHQxhQefjqP3QengBQuG7bdWY8cODjKnjfAp3a0A0gfYuXapWV++j3/9es1zmdvasWBvhTqRNIScGw9yPH4hhw4Y2gq+Jg5w8MZy2p40zlVzOzxkLUD8EBJIO3eG4q0APfvH3Xx4a8W8cxOR6jKoa884aVArmnYFkzOHU87a3C3x6XzBLQlzr9j7GRCUE80dDNh3IoiqJ5GNbg2EUIprYQlT/RyRjXGuUlRtPWMURCqurdJywoVYGeSqgjJTqU50QLnAVidY+EMD1/98DDe/yWCex5JIaAxyU1iF4QzEAZkLIaZMz286ZwKTl9Ww6weH00FBh4QZKhyp3FMa2Y4eeEYDvRX8NFvcDhNZ3ub99JLV69sPsSs0oTX9rkVffY0QIozntj41F3v+vjPj31koy9iTjmTCgSPPjOR00eCABYYZk3zcOmZZbzzogpmdXtC/4jPN2ljZpRgzUMpXP3lIjbvdGRGTkyJpDGnDtVyLGUSsUt4mCnvyPBcm2gpdUQ8EFTXYr2bW/idyNIPetQh1WqBUzNUVpWOEL+lssSE4LNqP6p8BNX3q+3fkondYdtEojcR0EpyUGipfTBCk41UQRXyYNSl0Vu/MBhl8awARoElLfaeEjNcmZAoLohI0zFcgs07bXzoy0X87qEUgmReJ4Q745g1zcf/uKiMy86sYGa3D4tzMN8CCyxZy4XKADEV605hWwG2H2jGQbz3GZJe+RqwgZ1nrpw5IX4tPMf49Kc/iM9+fePQWDn7hB/k3v7UtoNgdkoGN6l8R70sgyC/jAL9wxQPPu5i+34LpQLQ0caRTiOa1ZSAOCJe4ncPu/jQl0vYvMsBd0gjuPUX1W3fohZJikQlIFR9kxAcCqCxd7OTcvSydOBq60joRdNjIoj2LgEMyBhuEm4bfSbGkyR8olDtaSH/V8MTR64bL5zXePoYViGuPYV4wm+TlWfjd+HTLTLzRlY0wZ1bWzhWLvKwaaeDHXssaUDRCFnAUcoGOGNlDZ94+yjecfEYWrIM8CgC34YfOPADN/Zuw2c2fN/F0EgaxdYzMK2z9W+nFTasPzjWg+/d+NUXBvDPfOYbuPPWb+PEZce4GTK6fPeeZ2fsG/QQcAeuJbrsgtrgoeJnPh84JXhmu4Vf3JuC6wLHzfeRSYnHInUIdvdZuPuBFD7+tQI275CSG5r0puMBXEnvKEsnrC9IeAhUJZnDZQZoeSg9zSRgDcR6cgKVHRhUkjAVQKYhIFWSsQQ01QFNtG1MHaChitZzvCeB2/TIxoAcA3kS4NEAbiA062r7MJaFt5uH+mR7C8fKRT4O9FOMDlEMjcrwTZ+jKcvx/svH8LWPjGDpnDpQg6iEy2z4zEGgQO278HwHfuAgCGwAFGNVhj19Xci0nHdf14wzf8jd2f1zprc9F3yfG+AA8PnPfx7vedfq/rmznJF0auwN9z26B34thaYUR0bmGXBCEYSRG9wklhTw6gSPb7RBCbB0gY9sgWPzLgufvzGHG36Uw679dkxyN7rfBbj170QWrY/abatkBpvofTY1UMeoiJ45o2fKR1JbSc4oBkIHbfjdAHkc0Np2OsAxPoANi0+C1NaPAwngj0dExsE9riRPkOJ6iA1Vv1WTRvdmy/ve1sxx+vF1dHYG2LTVRn8vRXOB4YNvLuMfryijmGWiTRAn4NwG4zaCQADa8x3UPRd130Xdc+AzG47FcXCggh0jq3CoOv8fN23Zev+SY+dMBroTK5n66OyeDiD/yNTptduWzq9d/Od1u9CSFpFz9QBwPYpBUFS5DfAAIEx7F6J0aJTi+puzAAVee0oNX/9hFj+5O42qT0SssWGe0J/dSYqmdOogqmcSd7/rNvAG6QdN8YSpRCYqoQmfdStguF6tO4xhmgwJVLJxZFERyQxKeES1UyJ7ol67UIXPEkMhJY2KZ+jS54bzhye8gMjEaHEtgIuIRIqwWzIX0rqjheGKC6pwHeDrP8zivFU1XH1lGaUsA6tHxySy/GWGf2DD8xzUPBe1ugvPF0kYLOBobVsK2rbotr3l2Y+krYFJX9tJA5yQ+Vj7xP6dCxac9aHulm3WcMeBCwmrghKCcl1o+mVGUA0lrkQD12iLDQwMUvzxARcpm+P+x1xUPQKkFEzCf6b9lkBQFu2z3Da0nOi2bgV0ND6SdSkYSlB9mfzfBufUAKwvTAJ6uFo/58mCXLOMqN9yBegkEyHRbeXEALQOZDSAXkuKILptHA3gDqMNOdciEkWJZspF0gQ4C9fpKXvMA9JpjtUn1LHhWRtnnlJHc4mBVRBOBA4a/h/1HjALtbqLkbE0KjUb4Bz5XA6dzd23L59/5oeW8927CJ016etKJ70lgFOP68QTjzy064oLV2xYdVwX2osMnc0UpayULbozKu714ByoAzOnBXjHZRW89cIq3vi6Kgp5brTSMF4G0VPcPFoWRZrFMuOhSXAk0IHQi2oCHbHfq2UN8SjhsY4zSMPZPwe6G7/q9m09EEs57A3JHG4bSdqw0hXioI9qqRgSOpSoCdJbfQ6fHDQ0+SqQ8nBWiqOhFBgZJfjRHWl8/5dp3HRrBjv+YoG6yqbZeNHk0YMzgqGxFPYdymL3ARdDtWNg5U7bsGfHo4cFbuAwJLga8+d0oWd693V792yfnXXGLvdro+iq1bC3UsfYiCuvJNNvEcA4UoRj+bIarrqsgsvOqcJNc1xyThVrHnTx6CY3eaqF4lGX4FJ6Q69tYipsZjhszLEzkcKmAzkGcrWgYXm0qgHkACakK4Y8GG+levKH8SfKPc+jUFpdquvSPbR/I5TuukczCthCGKTFE8AfhtNq1ESSPBFImHSOFrBpp43bfpvGwYMWbl2TAaUE772sjBXH1uFSDiIcKSGwKWHIpGs4MEiw/tkmDI0QTGlrx4zs7Ftau5Zf19e793DhOjklUx/XX389Tjrl1Fq+1PWrJnf36dPbR3rOOuEQ+kb68ehTaWGn45J/cx8IAuSojysvHMO3PzmM4+d7cABwD5g6haGznWPtOhfDY1q2QYOSGY/9jpRLW7OcROWNY4qloWRqhWUatiHmIYTrTPOgqXRqZkBKDOXPVDL1ZTFqpD+wkDDx4k+bpAlqPGW0lnyA7uyVx65bQhqpXKK5UaUmQhcaZtIKJVzEA9kEu3ptfPyGAv74uAukRLLDxu0ObrsnheYSx4K5HhwCcGYh4ML2DQD5TBU/W8vxndsL8D0CJ5W//7yzT7ps48anRxcuWnbYAD8siqLG+a99DU5YSMtnnX12fdnCKqh1CHt6KYhlgSgzHgDUGXLEx1v/ZgzXvncE7QUfNmPgol0vSMBx7soaTlpahxWXZ6bxFboUJ8SkJJGCifDGGsvioEgCEYh5c8NDMIttNtCPJA4erpjc4A0f5NdY/JFZCYs00JSwhFuMbiAmkXkC1457Ns1IRkRUBdE+w0OO3TqfE/zpCRe/fcQFp1JnohQeIegdsnHNNwv4/u05VAA4rgjBZowKJdO30dPuocrHsKdcwLnnnV9/5i+8vGr12c8HqodPUdRobpsDgD2cIktP+dwX+zK/f7wZxbwLBoKxuqiUdExnFRe+agSffMcomvMMgaduvJAAnHNkMwH+/pIyHv5zCrsGqHlEBhGOkBRZTxLKP+i8O55fGQe29h3jbUOSDocY3xMpCjA5jE8QNitip6RSSKLFYWIDUdk80jVPtDBbg7bElsv+OkYlrNA6o5ImxMmHCRL6BCDRMqIsPeqULeAvAxTfui2DStkSHjgSGQZgA4MjFv7lxhKqHsHfvKqCniaGCrNRqaVRqaVx+pIxXPN3Q3h2ZEll4YI5D1v0ecnhFwZwajeB88FPepmL+YHR8j90Fremi+kAtYBgj8+wYMEYPv22Ppy2pI6UDXh1O5RAUQw4B69xrFpSxxmrqvjRr3PwGlhpXPE0pbMZDZhQtQm69I7Wh6ZBdT4NSmTCYx/mnIuD2JgMSF4+0eCxlw50aMBWIcrhJAgjCWUSMiOChhg8m4fd0VTVB67iXMIMfA4CXaEUnBu6FA8jAxMuAIT0/sODKTy43hUhHXpAnLojlKOvbOOT/+5gzQNlfOKtFczrtjEwXIDnUdhWGq87dWY11XnG9aDkU23NeTzfcdgcXB+f+cy1fOrs0+/rKKWskls/xeajVnOeYt50Dx98/QDOXuGBcBu+b4MxCxyWvFg0uljgcFIcxSzws3syqPkJQVXKuUNldVgaZcrbmscy7sjRl+lcPN4rXnfuKP6tSiKbpngSvoeezRjnplLTNTk3MbZpmFAkNsmAhqcIMdaT2KQj2kQn4z+h4hM4McmDJ/8mLESqlQ8hekkREetSrlN84t+L2LLLlc12VRiHVgiViPJ6AUtj694CdvWm0ZzNYXSsCYMjLqxUTz2dP+Y6ePv/V9e0Zf4LwejzluBqFFK1emdLy7U5u6u+J1f5LEGdLp4DzOkoYXCIwrHrsCxf83oJCURpIOrmgsP2Ayyd7WHGVA8btlkJMdKRBFD0JKIl3OTiNCapE6R3HACqCI0uocOONNp3Yz2Jji4EDRdf9CeAcRoJgyctILHPnIRS20xwmOCzQU/iIbaSrqisH/AwjU3QHDPMuYGLw+Tg4SFTYMdeG+u3OmCWivbUA+TkvVQzx3GQsmzs2JPDnfcSzJtuo6kpw4pt0z5rpaZ+5WD/SP2F4vP5kxs53vHWy9DZ6lROPH7BbatOXs7bm4BijqJSTaFadxEwS3iqAhFM48n4giBwEDA7jBzLFxhef0ZNtKYb33im4J6QqBA5cyYKiR233oncuZKUBrgNSUuMY2mgKJPXLSNM64qkOvu4/Tvm7Am312qgRMpmTFkMTYQRnTGKWiL6HdMmBHSbt56lJWP7lS1cVUoIKHDrH1IYG9FDKlRQngvQNEBTUM3ACLGQdYCCCwyPMuzv8zB12mKeLc29bfseXjn+5ItfKDxfuAQHgKnd3SgUpzybz2euai3V/0914E/UdTy4jgfHFqVs/cAWgfMAVOMoyGweRhlsx0d7UyCKz6i7ZyiXEf82XPNAYjpaAzdPALQhvXUQx7aJ0BxTPBPATOIfJgB83IYcCW8iVT5zhdhe0DrGZbcGw1auQK3S0KR3EwlSnHMwEBlJoWzcZvllfV9qAkSWlIaDBghwcNCG71HZTdrSwG2DyJBJzjkQeOCMoeo7KHtApQ4sXrKCzZg1+6r5c2c/u3f/wSMBzRcuwQFg7rz5AOuvL16y4qZSnn6kvT2PUn4AhA5jtF7BWM1H3XNQqaVR81z4vpDijEluzijAiGiRYvOYAI+QR9BoHlT22Hg6mklPkAD6BOkdSvh4vcGYqRAahQEaJfnzEuMJn2NJNLo0RmwZ0yU0fy4pHvN2JpoLk7ya2mRRNIVEx+n5otNZpDMpgDuwLQs5m6BkA2mLoJQpoy17CA4Zwt4hD5mmNvjc+siJK0+4adfevvqCBQuOBDSPjAQHgM6px6BW3hssXn7B1kP7cyMPPbqt8M3bXGzbW8Sp8+t4/0U2XAdIuZ6IGgRkLRTRFMllBOedWsOK39Sx9glXVk4yxaDi3zIKYtwCPuOaCnUQx6Q3jQE9BK8usXWgE1NaG+1MngfYdauJ4ZHUpbzhpdTMgkSZCqME46gIJw8pBUKvpfRmEglYXYor02GDeVCX3JEkV/umDvDYkw7ueiANL7zYQrm0LYq8xVG0OTKOEGIfuLSKkxdUsGn3AH76p+l4zVmnjlxw+slbn915MFiyaN6RguWRAzgAOE4Gv3us7/aFM1e/b32vff3Wffe1FDGMHG3C9r0cna0VFHMIM0hUzxh1AVNZhkxKuyERzMRFREwqxynJOKUf9Dhpg18n0pJ43AkxQR/DKyGTA/Bkh2EWj5kBuTxXswhQJMmJUiqJlnTM5HJoSqqqo8LEfhlVdVPirnr9KSF5OI+4tzhGEt6uSpWgVg7NLuHLIUDW4si5HE1pjo5mguroVIyMjmD10gCXXHhOP88fd3XK3nk7Q88RvZ5HFODUaQYA7OsdvvmqN55lTyvZ1z304H3trcUaylWOat1GJmUhCFRDJC2YR8AlBhidDEd828i3hAneeN1BPdba/Ewi818c7DCpRzjFYpI87sGELsXj68cbPPofobQ2IgpNowrn0XGZ8ScxZw4iKsMYRLUCHiXGqzBvE8wad2di8poKKQFtkOoJ56NdQUJklTEKuBZH2uXIpgj291nY2z8Nsxac1OsWX/VPLPBuJmTxkYQjgCMMcDW62osYGhr63utft4oW3cEv7Nr6WLtjB0byr34xQioXiI5cDaIVEf8OC2giAp2RWIxIsidmwgAxu7Eu5RurWDVwdTRSlAbnD7QJ8hwjHnAVBUtJRVOjJWFtJY26xKU5UxvInVGig1dKbSrDY9X+paSnhMSCscZ5ISoForvuLVXwIJZNH00kmYzvcQyN+rBzC3rbuk+/plwNvpfLNb8YUDwySmbSKJVKeGr92pu62gsfmzG9oz+fqSGT9uA6vkxwZdC9jZxw/HmDg2e329L9pFAkxKwomdvIpY0X4hI8Wakc14wo/6sCu8mzY1RFLhuXoRwOc4nr1XJZ+BZ+1kJjdcsINFMhkhVNpr1CoBuKJMIWhIkKpibJTTu5EDXMp5g708eyxR4szc7IweFx0W6w6ovcgaGxAE0tnf0BT3/sjl///qZcrvBiwfDFAzgAnHzqeQAb/cHUqR0fmDWzbaS5MIxMugbX9mX3NHmrCAezOLb+xcb+A5YQBQrcEinCPDheIU1u0j69TAQ1QR15H+OTQI8UjNEVHdQxC0sMj9p2hzn4xKv0wKvQRg0YYBXriEFRRLdjGJMhspqYlhVzuZoQMMCu60zG8oCgc0qA2VN9UBZNQ3DA48BoQDBYt7BniKO5c8ZI59TuDwyNVn5w6d9e8GJC8MWhKPqYM32YcZK9hbA2n/hd3yfe02lCHHi+BVWpiVCOeoXgmd02mE0bUKZab9saD1dl2eKSmcZATWPgTo4LJzFJbjacaij4A0xMQZ4Hwg2PYHyF3Kfh8BGPPRASFcEHg+wDL0AJQJZdg6w0JndIJd1h8ry4Fhcuy7dFaW0UnAQxJ1KUugao0AsKyyeY3+PBzgTwgmjGBhwo1wPU6j5OWD672trV+c4qL/x0f29twqI9R2K8qBIcAKbMficybn/QPrv0050DPVfc+vBx1Tv/5IBzRzorAIsGGByh+MV9GQSWllUv2XZITyCktZLiug1ct4nrCmcE5FinLkQ8m8bBnmRh0c6JaH/Fp1gHtkmMpJAyfaGhLEL3LCpJHachEZcWXY91u7iUxEwEVRkdkZnpvTTs4HHKwqi5XjMUME6BgODiV1XRXJQ97zmHRQlSnOD85QP44geL1fNPLV2xYWDeT7f214MvfOzyFxt+Lz7AAaDY/X585bt+8KWHun/GsOgt+fzKct9gGpwR2JaPMTDctyGF/mEbjYkOAuZRKeRIwOvRhHp3hgZuHpPoydI9ArdpvCEmlMMvyu6DyWuUkxiGKz62U65vIxfwBtDHQU405w4aHDssRlFYCHqdttBokoQ0hYYSnmmfWwsMpy2pokA9gAWwOUNXto7lxywqL5839y2fel/vz2648pHgW596w0sBvRcWTXg44+5f/gL/+u7LceWbfvs0ry7e7jrsnIxzIL3nUAWf/U4OX/9pAYNjegNX8ZlQClcV9qGysA81owjDvpdUy+qx9ChCYkYWhp9JA7hNp0+8+E70HQatiaIMTesLiX1OfkJM5iUPxzRHxiaWvj5aIL8T/V1TonVrEMQTEOqcVctHKKuU1uc0qYkY5Ug5DKuPq2HWdA+bdtioVzJYuaRnaPa07ndfeeWGW45ftgxnnPW2lwp2R0ruTH48+8R3MK0rhVoNbxkuH/rKx77xVOtP7hxFAC7RagFWKgzKsSlBxgIylMO1OFwK4dInonqVRUVzY1Xcx5JN1xoqVE0S3A1KJ8Q2AAlTywwqgwjY8ZQ1o5JVLMQ26YmjK8bReiG3k3WHWIwNVNt0RKDU0vSiKl5muTfVqdqmTJZ5EyXcLIvBtmTXaYvDsnzx3Qpghy8ftu3BsTzYVh2O48OyOMbqwB/XzcQ9z5zTl3anfJhR6wd2rQ+f+ae3vqR4e9GVzPiYe9w7AQBPbR36gZu17SWL115777rftA/07QFnAaqBJd30Uc3BsL+lAgOSTIXcLOAjJWoSXYmDuyHZoQHcGhc/QiJhsrtJTOoNuTkBjaX5MQ5QJrJ9KAgY4+LEmVRhRcP3UPgzqWQSxmXLQYTlJCjX+91zUCJ6a6p3RjgYlXQFBJbN4QUcw2UCy5qGM1df2nv+xed8HPB+QMiUlxpqAI4CwNVYNKeEweGx777/zauJZfEvDO/7Ufvo8C7cvKYFA/UsQEVp5qiJ1DjKpWbSCzm6JsHjVayUB1NJ2vGSd5WkFrghJhsYD+Way/xwB0ckpcdbH35Qx8VFIycd5JrRRXbeHh/kaiNxbqK6rF47RVlUGNEbWEWdlBmlYEy8CAEGxxi+86sscqlpeOebLuxNNZ1/DfP5dy3p4T4a46gBHACaijns663e9LaLVvk5Vv1q36EfNj+w0cOjWyw4FkWKipJskfTmDcqh4o0N2fCEmGXZqNZrUc/WCZ8IJiclOs9WiBlv6FF1xHSnT3bodPm5fhc6f0gEcuWVJER+52JCix47JOotjwjkogEVieiMbBxLpFczCruNevpQLoriq+axAURn5EyKYutfbNz2wEK87ZKLB6zCiR+lFr5PyPNPNzsS46gCHAC62tPgzLsZZHV/X2XDnFNPLHzx6Z0bnQwNQCmV1au4VkTTBHqcqgjFM0ZNJA/XHT3xOoOmU4dodEUul3/GxR5H1L0DE9i1YyNUVLX96FI8vi4+kcL/wYm0lUdA5xLAIrFd5WTKeOzQ2KmUSNHDUjzVogwfSkzzIdObV0mzYd0TPYB6Zp7unbay9LELzl65lbPsnYQ4ONrjJVcyxxt3/OFJtLY2u9u373rb0xu3fvOOPzxBdvXVqU0J0hZHyuKwLVkWmUgrChXfbSp0U9tSy4ms0a1epIGe0ARghx3UtCujXyCioVwtj2qakGQlM8z3NJXMaMKNo2SG37n2v5Nt7SQ+CaXCqZaHVE5XMqVCbsn64bZULm1bKJY25bBsJhVPpimlDLYtFUzbBwFDudrMMs0n8fbuOVflm3v+AxioE3LC0YYUgJeBBFfjgjOX4IknNtZPWjz15raMf8/u/uplePbAv27Ztg+ZnCVNg5HkDofGl+NUxAC3BnJKdckZURO1u6RpHy3i43+TsdhEF8MTiHESOw9T0VU/Ns148t8Y+wyrFajtuJysYUAWlx2RSdSZkEYHR4jo+UQgeDcjBJxqATLSBi4iuajoN0UDWKSGTL4bqeKs/1nmC39S9abtHttbqXd2vzzADbyMAA4Axx23AAAqH/7fP9t89pknXkvddW5Hc+aT+3btsbhfg02ocHDGRlzyhaZDS3VTkMFaNJKo4e8ATSKPw0H0ijvyOyequ7A8BplkJnElowB55CbSlUP92PXjgGatAU84Pv0YGr2hipsbv9EU56i+Con9SpB5woUVhVMSO2XZSU8CXXTay6C1vSfIF1s/N1Q57dopzpNBsWPVUUDNxOMlc/Qcznjw7lswffHp/MZ/ueKeP9z5f1M5Fyce6hu067UaABbGRRAomiLpiSWpiQS3sImL1iFiXdRChNKo44JeqD4x5mSCkEF9W6WUQsZBR7+NlZFIikOP2eknBDc0T+Y468ws+uhZoLXuVYdsUBklKELqYgt6AkLgeQQcFmy3BYUpZ9SmzHzjl1LNr/5n95+X8Vzne442bMa5Qy/j0T8wDPnw/MLj67edctN/3kF5UDll3ZZ+u1J3UMoCOZcj7QApB3BtEgI9BLzk4zpFIbrENgY3zHGGa1yKND18NZKSejwLCTtBWIRIW7zex8fs/UMS6ikqB00c4DqojdxMFYkFE/A6k1FPBL2bhR2CmAtdxuZwbQbX4Ug5PtIpH5m0h3ymhsERjqHyNL9UzDw4Z9GFLFea+yDjuMaxCNx08WhDZdzxsga4Pn7zq58jnUoVDg0Nfmvt+s1v+P2j/XS430dHgSCfBtIOgWMDji0lt0WE9JZgD8Glmf/E4AaQjZBUPZGARdkyDRdRs6mrJ4P+lDAbVZlNqGgMdHpx0LhCaYbBituXVFZiPMkeWo8oD5Vwx+KwbC68wxaHY3O4DkMm5SOb9lDMjSIgAXrLM9HSceFgOt06L2C13uOWHHe0ITGp8bLi4BON886/BP19T42k3AUfOPGEri0zpj+++P6Hg4t3bdkCAgu2bcGxlds+ktxCmhNQKc0NShEmC6jafnIZV7UT5eNcdjDgMs7ZDIiSSi/VuwqrHEaEyiIfR5bEqUrcfa+Lb1UyRiX+6rVO4sfFNHqi0B4BXAZTWbIzQwBTn5BPHIsEcKfMxbaDzm259tM2HrvgRC+VsstBcLTRMPnxipHg+nh68y4Ui/kZ69Zvun79k5svXrf+KXjVEWQzNmzLAiE85N2OQyXIqSbBxX4YUxYGrf8k4h0VOAImJDhjHAGH6BOp2aCJpsBa2pMi4vwknHR6bExoxpSBYZaldYTTEjfUsTBGEDDI4xGfxysjYZSSYJGHVe3ftgDHAhyHw7V5eEycB3AsD+1tOUzrORbtnfNua+uYd3W9NrYzV5pxtG/9YY9XJMAB4GDvIbiOc8yGjVuXjo5VPrR96+bTNm3ejEN9Q7AtG45NkHIoXJfCsS3YtkZRoADDEcgXY9yQyiFotG38QLwY41HyLiLTo0XVkwIamKOnRyLAdXu9xY1+mSq2XRyPALQfEHgBEAREAl1tEL1xjnAiqMmpzocSgFoEjgW4NpByOVKuoCh+EMByCpg58xjMnTvn3lQ6e0NT6+z1LPC35IstR/uWP6/xiqEo8TGlvQ0AtnDOtwDYcK8TdC1aOP/G9Rs2HfPoY09Yvh8gk6JwHQrXIbDtqO8lICRbEBB4vpJ8EWIJiLATy5ANDkhpKcDtB1GFVgLhwQwtKmFJYu1gx+Xt0RNAj62hlId9Pql09DAOwJdJ2RLsQSCXK0ufPH4lwf0A8H2GIJC95qHoB0FgC88kpRxpl8FxbMyZtzTonDpvS6Xqv3vm3FP2Adh8pMtivNTjFQtwNeQN2Hywt39zEASvcRy3+8SVy2/9wz33FceGe3NgFaRTgGPzkAoAMrvbF65nj0eUgyJSBCE5NSEMAePgnMPzOeo+D+NNKCWwJO8OPZq6YjiZcwCiADEJblsqfaqYqHCRU3gBR8DExFQAF8chX2qHAFjAUKsH8HwWgl7RKccm8H2CbDaPadM7x5auOHU48P1Lp3RM/wuldOcrHdhqvOIBrsaU9hYwxnZ2drTtHhgcWeTa5GTbwrf37NrmH9i3paVS7i/Y1A+VQAKKug/4PjBSZvB8JmJYJJWxrQjkdiCyZEbLASo1jpootxiGCnBb5EYyEjlJDGDHsJJkjYkkuQC5Y4uXcqEDQM3j8Dwbng/U6lyUSYPk1DLmxJLRxoQAo2WOsYoAOAvEeVNKkE7ZaGltHVm0cF7//GPn2ukUfVdX18w/Oan8EAD21wJu4CVKWXvJTkbUD2d+vTzQM637rkKhOO83v/rlnHPOu/RzS5Yuf2pqV9u65qZ8tamYQmupiu72UdT8Cvb1ehgtCyAAwvKScoFMCsilgWKOoKVEwQnHvkGgbwQYqXABdh/wA6mIckiFlTdYLgzIcFM51MNzKeWwbMC2pLku7aOQq6OlVEFnaxmE1NA/FGBkNEC56qNaC1CvM/iB+J+uDRRyDN3tPhynjt29Hg72+6BOGtlcodrU3L7uhBNOeOqKv7v8c7/4+S/n5POFec0tnXf1D44NEEL+qsANvIKVzMmOA/t3g1o22brpAdi2Y7mp3DfByvP8yjOrn962zbrjfo7REQLuM3S1umgppZDPWsilAdcRjhDHApryPuq8F99bY2HTzgKaU0AhzZBzgUxKTIiUQ+Ha4vHv2BS2TWDbFDYlUctvENOSYasXh+uIV9phSKcCZNIBcmkPuUwd+WwFG3d7uPk3TQgqWZRy0pFlE7g2RSZtI5+laM4HaG+pIJP2UK77uGdDHo41M1i5dNb9TcXM5uHhsas83wtefc5qeJ7PZ8185VlGDmf81VCU8UZH53QgYgw+9wb/Hna6ubd3yed/fN+dbk/XnqB5gbNi26708VkyBM7qsClDKQ9k0xx+QJFyOVqaapjbU8WUKSN479cI9g8UQImoiOsEHC7TnC5AGDwVRhJq5FgphqEZTx5cSFOkRcW1A2TSHppLY+gfGcYXbynimV0pLO5koJTAsTk8jyOdAoq+B0octDZl0d1dwvb95ccsUnv8w2/psjItl9Rtp/sTnFUGurtevl7HF2P81QM8PojTBAADAN4LADf++I/gIKetnlZ7dWumeqnnVY9N2RVQ70ls2+uBBEAuVYVFqhgcTmPlnAouOukQbrw9jbG6g3yKhbweiDuAhCfVsYWNnDHA94XJkUqDvCWjgUiMw1Ai4kAyqTpy6VH85+8tPPZMC7qbgJFyHS4Fpk5xMaWdY++hHJYetwAdbQUU8ulnembZty5bxu9mDPeWul4L4B+P9mU/auP/O4DHx7vfeDoA3Ds8NHgvIbivVvfneLU+tnPjM8zr7Z61ZP70j6ewHc1FH4cOHUKwx8MlJ+/HHWt7MTjSgbas8lMqN2hUooFIa0U6JRTSmgdUahz1eiAcQ7DgOpF3lYMjCITyKKwjDCmnhq17R3Hzmg605zkWziigfUoH8q6PU1bMQMbdce1/3V3ZvmrVKjqtq5USam0FcFehpfloX9qXxfir5+DPdwwOHIJtu00jQ/tOGzq0HqW87x0cavmHYtY7t6VpAHc9CtzwH1uQ48Mo5SiKOYK0a6FcqaFer8N1CEp5B21NFkp5UVW1XPPxxLMBxspA2iUo5MT6pgKQdjlsxwGIi7TD0FT0UcjW0DOV44C3HL/7czO6Si6acnTNs7vHvppLMee0kxdjZs/UeyvV2mBHR/vRvmQvy/HfAJ/k2LfvIADMSrv1jmKxxvoG6njPp+6EP3oQxSxBKW+Bcs9bvHT5p0eGRy4IAs8rFVx0tBC0FH0QAlTqdTy+maBasUEJR1PBQkeLjVKewXVtJ5PJ37Fu3fpPFwuO01z0kM/U0dOdQa3wZgxXcmgvElrI2gc4sL29veNoX5JXxPhvgB/Bcffv7gchpGPfvv2lWq3OSwUHHc1Ac9EH4wQVr44nt1LUqjY4Z2jOW5jSYqGQY3Bcl7S2dAxxzg/MmX/K0T6Vv5rx/wDlBjLXXPU+xgAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QyMjoyMDo0NiswMDowMH0k1n4AAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMjI6MjA6NDYrMDA6MDAMeW7CAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71948437
{'hecke_orbit_code': 252201579166310293, 'n': 1, 'trace_an': 8}
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id: 71948438
{'hecke_orbit_code': 252201579166310293, 'n': 2, 'trace_an': 0}
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id: 71948439
{'hecke_orbit_code': 252201579166310293, 'n': 3, 'trace_an': -8}
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id: 71948440
{'hecke_orbit_code': 252201579166310293, 'n': 4, 'trace_an': 10}
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id: 71948441
{'hecke_orbit_code': 252201579166310293, 'n': 5, 'trace_an': 8}
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