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mf_newforms • Show schema
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{'Nk2': 7168, 'analytic_conductor': 14.309192042213445, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 16, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [1792, 4, [1023, 1541, 1025], [4, 1, 4]], 'cm_discs': [], 'conrey_index': 449, 'conrey_indexes': [449, 1345], 'dim': 16, 'field_disc': 88982531009962573824, 'field_disc_factorization': [[2, 32], [3, 8], [1777, 2]], 'field_poly': [4, -40, 164, -344, 390, -336, 358, -180, 351, -176, 118, -24, 67, -48, 12, -4, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [256, -512, 512, 6912, 25728, 17984, 5888, -1280, 1412, 1072, 416, -152, 40, 16, 8, -4, 1]], [5, [16384, 98304, 294912, 438272, 380416, 170496, 37376, 5184, 10500, 5344, 1024, -264, 104, 40, 8, -4, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31526022058870528, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 16384, 'hecke_ring_index_factorization': [[2, 14]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 16, 5, 1, 4, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1792.2.m.h', 'level': 1792, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '1792.2.m.e', 'prim_orbit_index': 5, 'qexp_display': 'q+\\beta _{11}q^{3}-\\beta _{10}q^{5}+\\beta _{5}q^{7}+(-\\beta _{5}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1792.2.m', 'trace_display': [0, 4, 4, 0], 'trace_hash': 1451171478131848724, 'trace_moments': [{'__RealLiteral__': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 7168, 'analytic_conductor': 14.309192042213445, 'char_conductor': 16, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [1792, 4, [1023, 1541, 1025], [4, 1, 4]], 'conrey_index': 449, 'cusp_dim': 464, 'dim': 96, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 824667277056, 'hecke_orbit_dims': [8, 8, 8, 8, 16, 16, 16, 16], 'label': '1792.2.m', 'level': 1792, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 560, 'mf_new_dim': 96, 'num_forms': 8, 'prim_orbit_index': 5, 'relative_dim': 48, 'sturm_bound': 512, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 46367355
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1345, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 31526022058870528, 'source_is_minimal': True, 'source_label': '1792.2.m.h.1345.7', 'source_level': 1792, 'target_conrey_index': 1345, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 31526022058870528, 'target_is_minimal': True, 'target_label': '1792.2.m.h.1345.7', 'target_level': 1792, 'twist_class_label': '1792.2.m.e.449.2', 'twist_class_level': 1792, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46367356
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1345, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 31526022058870528, 'source_is_minimal': True, 'source_label': '1792.2.m.h.1345.7', 'source_level': 1792, 'target_conrey_index': 1345, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518822804129536, 'target_is_minimal': True, 'target_label': '1792.2.m.f.1345.2', 'target_level': 1792, 'twist_class_label': '1792.2.m.e.449.2', 'twist_class_level': 1792, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46367357
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1345, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 31526022058870528, 'source_is_minimal': True, 'source_label': '1792.2.m.h.1345.7', 'source_level': 1792, 'target_conrey_index': 1345, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 27022422431500032, 'target_is_minimal': True, 'target_label': '1792.2.m.g.1345.7', 'target_level': 1792, 'twist_class_label': '1792.2.m.e.449.2', 'twist_class_level': 1792, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46367358
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1345, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 31526022058870528, 'source_is_minimal': True, 'source_label': '1792.2.m.h.1345.7', 'source_level': 1792, 'target_conrey_index': 1345, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015223176759040, 'target_is_minimal': True, 'target_label': '1792.2.m.e.1345.2', 'target_level': 1792, 'twist_class_label': '1792.2.m.e.449.2', 'twist_class_level': 1792, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46367359
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1345, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 31526022058870528, 'source_is_minimal': True, 'source_label': '1792.2.m.h.1345.7', 'source_level': 1792, 'target_conrey_index': 449, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 27022422431500032, 'target_is_minimal': True, 'target_label': '1792.2.m.g.449.7', 'target_level': 1792, 'twist_class_label': '1792.2.m.e.449.2', 'twist_class_level': 1792, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46367360
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1345, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 31526022058870528, 'source_is_minimal': True, 'source_label': '1792.2.m.h.1345.7', 'source_level': 1792, 'target_conrey_index': 449, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 31526022058870528, 'target_is_minimal': True, 'target_label': '1792.2.m.h.449.7', 'target_level': 1792, 'twist_class_label': '1792.2.m.e.449.2', 'twist_class_level': 1792, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46367361
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1345, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 31526022058870528, 'source_is_minimal': True, 'source_label': '1792.2.m.h.1345.7', 'source_level': 1792, 'target_conrey_index': 449, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518822804129536, 'target_is_minimal': True, 'target_label': '1792.2.m.f.449.2', 'target_level': 1792, 'twist_class_label': '1792.2.m.e.449.2', 'twist_class_level': 1792, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46367362
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1345, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 31526022058870528, 'source_is_minimal': True, 'source_label': '1792.2.m.h.1345.7', 'source_level': 1792, 'target_conrey_index': 449, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015223176759040, 'target_is_minimal': True, 'target_label': '1792.2.m.e.449.2', 'target_level': 1792, 'twist_class_label': '1792.2.m.e.449.2', 'twist_class_level': 1792, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46367363
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1345, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 31526022058870528, 'source_is_minimal': True, 'source_label': '1792.2.m.h.1345.7', 'source_level': 1792, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972564992, 'target_is_minimal': False, 'target_label': '7168.2.a.bb.1.1', 'target_level': 7168, 'twist_class_label': '1792.2.m.e.449.2', 'twist_class_level': 1792, 'twisting_char_label': '32.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46367364
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1345, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 31526022058870528, 'source_is_minimal': True, 'source_label': '1792.2.m.h.1345.7', 'source_level': 1792, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 135107988854676480, 'target_is_minimal': False, 'target_label': '7168.2.a.be.1.1', 'target_level': 7168, 'twist_class_label': '1792.2.m.e.449.2', 'twist_class_level': 1792, 'twisting_char_label': '32.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46367365
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1345, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 31526022058870528, 'source_is_minimal': True, 'source_label': '1792.2.m.h.1345.7', 'source_level': 1792, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 139611588482046976, 'target_is_minimal': False, 'target_label': '7168.2.a.bf.1.8', 'target_level': 7168, 'twist_class_label': '1792.2.m.e.449.2', 'twist_class_level': 1792, 'twisting_char_label': '32.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 46367366
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1345, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 31526022058870528, 'source_is_minimal': True, 'source_label': '1792.2.m.h.1345.7', 'source_level': 1792, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 117093590345194496, 'target_is_minimal': False, 'target_label': '7168.2.a.ba.1.8', 'target_level': 7168, 'twist_class_label': '1792.2.m.e.449.2', 'twist_class_level': 1792, 'twisting_char_label': '32.27', 'twisting_conrey_index': 27, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2210525
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 31526022058870528, 'p': 2}
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id: 2210526
{'charpoly_factorization': [[[256, -512, 512, 6912, 25728, 17984, 5888, -1280, 1412, 1072, 416, -152, 40, 16, 8, -4, 1], 1]], 'hecke_orbit_code': 31526022058870528, 'p': 3}
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id: 2210527
{'charpoly_factorization': [[[16384, 98304, 294912, 438272, 380416, 170496, 37376, 5184, 10500, 5344, 1024, -264, 104, 40, 8, -4, 1], 1]], 'hecke_orbit_code': 31526022058870528, 'p': 5}
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id: 2210528
{'charpoly_factorization': [[[1, 0, 1], 8]], 'hecke_orbit_code': 31526022058870528, 'p': 7}
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id: 2210529
{'charpoly_factorization': [[[4096, 24576, 73728, 120832, 128512, 119296, 184832, 264832, 254480, 147328, 54016, 11968, 1560, 128, 32, 8, 1], 1]], 'hecke_orbit_code': 31526022058870528, 'p': 11}
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id: 2210530
{'charpoly_factorization': [[[16777216, -41943040, 52428800, -11272192, -491520, 1110016, 2547712, -90368, -5692, 57808, 45344, 6376, 520, 112, 72, 12, 1], 1]], 'hecke_orbit_code': 31526022058870528, 'p': 13}
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id: 2210531
{'charpoly_factorization': [[[116608, -15872, -46272, 4992, 3528, -272, -100, 4, 1], 2]], 'hecke_orbit_code': 31526022058870528, 'p': 17}
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id: 2210532
{'charpoly_factorization': [[[256, 3584, 25088, -336128, 2365568, 807616, 148992, -90816, 175108, 55488, 10368, -5096, 1352, 40, 8, -4, 1], 1]], 'hecke_orbit_code': 31526022058870528, 'p': 19}
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id: 2210533
{'charpoly_factorization': [[[4983230464, 0, 4950327296, 0, 1720396288, 0, 274590208, 0, 22220304, 0, 938528, 0, 20920, 0, 232, 0, 1], 1]], 'hecke_orbit_code': 31526022058870528, 'p': 23}
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id: 2210534
{'charpoly_factorization': [[[8425771264, 2138386432, 271351808, -1276829696, 3290633472, 43406336, 1785856, -5705728, 8730464, 16640, 2048, -5632, 6352, -64, 0, 0, 1], 1]], 'hecke_orbit_code': 31526022058870528, 'p': 29}
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id: 2210535
{'charpoly_factorization': [[[-251648, -366848, -59584, 25792, 5304, -576, -132, 4, 1], 2]], 'hecke_orbit_code': 31526022058870528, 'p': 31}
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id: 2210536
{'charpoly_factorization': [[[483102843136, 132249695232, 18101716992, -3207039488, 20760877312, 5971864320, 867542528, -234612096, 41581152, 2620352, 345472, -90336, 12944, 272, 32, -8, 1], 1]], 'hecke_orbit_code': 31526022058870528, 'p': 37}
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id: 2210537
{'charpoly_factorization': [[[87310336, 0, 291241984, 0, 329390080, 0, 147362816, 0, 24700224, 0, 1383616, 0, 31072, 0, 296, 0, 1], 1]], 'hecke_orbit_code': 31526022058870528, 'p': 41}
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id: 2210538
{'charpoly_factorization': [[[2111586304, -5140742144, 6257672192, -2619355136, 445188096, 116885504, 20738560, -12555904, 3493136, 1563008, 280832, 11072, 4216, 1568, 288, 24, 1], 1]], 'hecke_orbit_code': 31526022058870528, 'p': 43}
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id: 2210539
{'charpoly_factorization': [[[-18176, -24832, 32832, 2880, -4680, -784, 68, 20, 1], 2]], 'hecke_orbit_code': 31526022058870528, 'p': 47}
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id: 2210540
{'charpoly_factorization': [[[133651661056, -486103883776, 884003176448, -862648064000, 477213921536, -106174140416, 13721346048, -1343532544, 313823328, -63842816, 7974912, -532096, 34064, -4096, 512, -32, 1], 1]], 'hecke_orbit_code': 31526022058870528, 'p': 53}
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id: 2210541
{'charpoly_factorization': [[[166320414976, -95907154432, 27651994112, 13349751040, 11956383872, -4350037568, 1056333312, 372400640, 65216772, -588512, 336768, 122600, 21704, 200, 8, 4, 1], 1]], 'hecke_orbit_code': 31526022058870528, 'p': 59}
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id: 2210542
{'charpoly_factorization': [[[9688858624, -11238572032, 6518079488, -550313984, 395870720, -417754112, 233883648, -22986880, 1971204, -1097600, 702720, -58216, 2984, -520, 200, -20, 1], 1]], 'hecke_orbit_code': 31526022058870528, 'p': 61}
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id: 2210543
{'charpoly_factorization': [[[2606754347155456, -568041074851840, 61891267788800, -5089475330048, 2474211510272, -523341000704, 60265930752, -4235473408, 695639568, -130232576, 15464448, -983296, 49208, -4288, 512, -32, 1], 1]], 'hecke_orbit_code': 31526022058870528, 'p': 67}
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id: 2210544
{'charpoly_factorization': [[[67108864, 0, 2608857088, 0, 2604662784, 0, 490455040, 0, 38519040, 0, 1498624, 0, 29984, 0, 288, 0, 1], 1]], 'hecke_orbit_code': 31526022058870528, 'p': 71}
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id: 2210545
{'charpoly_factorization': [[[58046357241856, 0, 13653050720256, 0, 1216438697984, 0, 53178560512, 0, 1282223616, 0, 17837824, 0, 141696, 0, 592, 0, 1], 1]], 'hecke_orbit_code': 31526022058870528, 'p': 73}
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id: 2210546
{'charpoly_factorization': [[[-4822784, 3951616, -633344, -107520, 25504, 704, -288, 0, 1], 2]], 'hecke_orbit_code': 31526022058870528, 'p': 79}
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id: 2210547
{'charpoly_factorization': [[[401670219890944, -220876340944384, 60729368986112, -4269696279296, 299011528832, -181577847360, 77333645056, -1337794688, 146493444, -72393072, 15353504, -633528, 23848, -4000, 648, -36, 1], 1]], 'hecke_orbit_code': 31526022058870528, 'p': 83}
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id: 2210548
{'charpoly_factorization': [[[256, 0, 1536, 0, 800, 0, 96, 0, 1], 2]], 'hecke_orbit_code': 31526022058870528, 'p': 89}
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id: 2210549
{'charpoly_factorization': [[[-2571392, 3808512, 3034816, 99840, -84856, -8256, 116, 36, 1], 2]], 'hecke_orbit_code': 31526022058870528, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 8, 'label': '1792.2.m.h', 'level': 1792, 'portrait': 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nDssWtTjK8MsRbEacBiVzIc+wSeQBjN+mnNuqmUpW5IdygYJT7LA8GmKc1iR3P8nKLmB2yahW3rIzbOjdgwN2bT3JhtGw07Nimu3O5TV02OHG/z9WcCHtuf8NSxmFT1+I5XdHjnywx1Ncf+Y9McOe1x6nzK2QzcBxcMN109zy9+7zLb101x+vw055drLHZ8ljuSlV5Kt5/SH8OBo4scOLFy5ZMH51958OT5XUdOzX/p1je8O7rv9o+/0JD4pm5/pxl8ablDFBmU4v33P3HoZT/3W5+W3/WSAy/7V+886S2sbGS522JxpcFiJ2Cx47HYgaVOylInZnEl5ewKHFoUrF+3wr//vkVuvqzBiXOznD7f5PSCx7lFw9mFhJPzKed7CdOzI15+bZ+XXAGBrBOqkHNLNc4seJxdEgzGkCSaWqBp1lJmphI0cOxsQrcPOzf6NOtjjBEgAvpDzY5NYxZXPDBWiqz0YZyAwbDUidi6wac3VAhlEHpMu+azY/OIlYHg2GmPVHvMtSWtmiD0IUkEg7Hk7JLkzKLh3HJCGI7AT7j1qj4vu1qwvl1ncbnNiXMhpxfg3ELCuaWEU0twaNHw4qsW+OXvW2bTdJvjZ2c5u1hnfjlgoSNZWklZ7sYsd1OWepqFnuRUD5aW+vzmvx4n73td8/5w3Q/poHXF/QL9cwafsNZ+oaFywdvfWQb/8J/8FS+79UZ+6qd+6lf+4q/v+tcf+vOvXLL3+Mqu/af68hXX9Ni9JSUpdLVlb4wEJCAQwuAJQyDh9GKdhw5Krt29xBXbRzRq4HuSwFcEgUezLmn4kkHfZ9/RGl9+LODY+THdJGbfiTEb55Z428uXufaSHi++osPRhYSFgaARjjh82tDpNrnmYsnKKGXPUUWr4fHsMbh0i2EUpYzSAM+LmWnB3hMhykvxZYLnw3AsufmKAcOB5NpLUrrDlGOnW1y0SdFsRKyMDRumByz3u/zlXfDEkZSnjozYuWWR6y7vMjMb8dZbe3zXqwy7N7VI42mOnJri0EmfE2c1J8/HnDyfcui84PhKzIsum+fff1+PjdPTnDg7y7nFBvMrAYsdyXInpdOLWemnrPQNy33B2YFiqZtw05Xz/Ph3zsuaZ3adP3P8otEouaXWvqheb8zc+fiDn+Z3/+AvXmjIrHn7O8ngH/3zT3LVpVvU1x8/9H8eOX72Fx5/+pg6uxSxOFacHhiu2XGO3/yxea7f3eDc4gyLnQZLnRpLHZ+lrsdyD5Y7KcvdhKVewkIHTiwLvPqIl169xHe/KuKiDU1W+m3OL9WZXwpY6AiWOlYiLPc03aGmOzYMRglz7ZgdGzUgCH3DyfM+Qobs3KC4aIthy4YB55bHPHmgxY2XGhr1ZZ45OEurGRFFPnMzmuEIrtwx4s/umuby7QnjsWHdlCROh7RqIc8eHVH3m1x/WcJThyPOLQZsnQu5aDPs2BShVMzJBQh8gxCGnRsTZlqS3jCkP/DpDnyWuoqlFVjsaJY6KQudlLMdWByl7Nja57tfvcBLr/Co+W3OLLRZWK6xsOKx1BUsdzQrvZjlngX3Yh/O9hTnVhJuvvwsv/5ji1yytcniSpvlbo3BeAqvvjsN6pt+JfUv/WWZnExf9qp/+EJDZ9Xt7xTA9+/bT71eq586dXLHI48/897DR0//h/0HTzJOJP0RrAwF5weK072EGy8+y2/82BLXXVzn/PIMiysNlrs1lro+y12P5S50epqVXsJyL2GpazjXEZzuGxB93vmKDm+9WXPx5hpR1GC5U2OlH9DpKZb7gt5AMBobosSQpqCkIfShHhqm24YNszGeP+LQmYinD4bopMmbb4nw/BUe3TPFrs3whYcSXnFNyPnOkJqnSNKY2RlIYh/PT1hcbPDyG7p84YEWF22GRw6M8Wnwpps1iRjy9KGUIydreDJg44zHTFNQDwVBIFACEg1RbBhF0BsYVvqa3kCzMtAs9g3DNGXntgFvfUmHd74sAt1icWWK80t1FnMy6MBKL6XTT1jJwL00gDNdxXw35cWXnePXf+w8V+2sM788zUqvQacf0ht4dHqCWnMbYXPTv92w+YqPb9u29fhoNBpedtnlLzSUitvfGYAfP3aADRvWBQf2H/qBffsPfuChR54Qi0s9ORwbBmNNf2ToDWFlKDk/lJzpxdx8yXl+7YcXueGSGgsr0yyuNFnuhqz0ApZ7His9Qadn6PRTVnoJnb5muW843xOc6Whmpge84cU9br0iYedGRbvu0+3VCH0JKKJEorVAGxiMAKGZaY04cMqgTcQdjzQZD+pcsjXgpdcOiPUK9zw2zfWX+hw426ez3OYl1w6489GQjbOGPccM/9s7uuw5GrJxVvLlxxQvvVKxNOhy+MQs118Wcc/TQ5Jxg1uvCti9fcQw6XP7owpSwaGTHu2GhydgMJRoI0i1IU4AqfECTadvaLZitm8e87IrB7zhxoS5Zo1zS1MsrtRZ7tpjs9wVdPrQ6SV0+gmdfkpnYFgaSM72BAu9hFsun+dXfnie6y6qMb8yxUqvQbcf0h349AcevaGiPxTEuqZ37b7G7Nq1+ycu3n3JHy0szEdXXvF3A+R/JwCeJLGMxsO3Pf7QFy7pDdJff/ChR/3BCEaRYTBMGIw0g5GmPzb0hoLOUHB+KDndSbj1yvO8/4fnuXF3wEp3ivnlFp1+jZVewErfo9NTdAbQ6xu6g8S6A0NNZ2CY7wvm+xCnY667dMim2ZT+wPCWl4zZtUmTpBJPGqIY7n6yxvHzNTbPJDxzqAa6wRXbFDdcrglrAx49MGB+ocnVu5q0p5d54Cmfmy6tsThYYXm5zaZNhof2KP7xa/s8vMdj2wafhX6H5aVZbrhywAPPpMzWp7n6kj7nOx0eem6autfkxZcbLtsxAtnnySOCDbMx5+Zj7nnSZxQrpIRUG3ZtjnjDSyJ6fcWWGc0Nl0IUNVjqNFjqhKz0fboDRacv6fahO7BOSW+Q0h1oVgaGpaHkVFfQGY556WXz/PIPLfPiS+3F0enV6Q5CegOf3tCjP1T0h5LeSNDrp/T6MS+64cWxxvvp7/6u7zzYbNY/5/u+fqGx9YJnMsfjAXE8/L4TRx75zfNn98+eO79Cqy4RwgaK9pYgBCCsBSiEQUqDlB4P79/Iz33I4x0vXeJ9r13ioq0RZxfbhEGdehjQCH2adY9eXdIa+kw1PQajlP4wZeNYMxwbeqOQpfkaJ08YokRz6mxCGBpAECiDJwWDoULgkww8XrRLsHuLYcfWAeO0xxcfVuw9OMMbbwy54cplPvJFQyAa7No64KkHFFunFevaA2qqThT7nO9Bs+axbaPgib0RN1xW51XXL/DHtw0J/Bavv8XghwO+8lDEFx5s8tyROhdvabBrc8r6mYiL1sVcsytFKY2nDGBohCHrp0Oi2Kc3CHjmgG9LFIaK/kjSH0J/ZOgP7N/eG6b0h4bu0LAyhPmB4tyyoTHV4SffPM8/fOmY6y5ucmahTadfo1eAW9EfKQZDSX8kGA4N49gQp3Dv1x72W9Nzv7lp40NLr3nlLf9Hrz/441az8YLi6wUFeBz1QfBDp48+8P4je78yO+r3CX0fXVMYBHaBsUaPEClCgBS2k0ZJg5IpgZQ8dWA9j+9vcuD0ed7xsj4vu2rEdKvNUqdBs1ujPQzKJXUkGY48BmOP0dgwijRRbIhjQ5Lae5QEGA1SCXxPUAsE0y3BTAs2rdNs2zhg3UyHLz0K9z7uI/UUb7zR50VX9LjvuZho1OalLxJ0hkPOLza59TLNuukBdS9klCjmuzFKC150mUejNeaxfTVeecMUL7mux2P7FJgpbrwq4Ae/Y4k7n4j48sNN9hyvsWO9YtNsnZlWg6kW1EPwPYOSoA3sOSJIU0GcCKIExjH2bxynDMea0diuhIOxpj+E7hjm+5LzPRjrEa+7fom3vazDP3q9JknanF1o0u3X6A0D+kOf/lDRGyoGI8FgJBiOrHwcjVLGkT2W80fP8NGPf3G2P0r/73/41ld53d7gQ+3WCwfyFwzg0XgJIfQPnj9x9/vPHb1zgzR9mvUAKa1bgYHS8lMIIZCSDNyglMFTBl9p6r5gYVDnY3dt4yuPd3nFNSt87+tWuOaiPnPTDRZXGvSGIYOhnwFb2XskGMeSOBEkiV3qTbZoKGnwPKgF0KhrZlsxWzcMSOhz4FTMX95T4/CJJtNhnZuu8rj12i4P7e9wx9fb3HJpjR2bB/zZXQIlQtqtmJX+GG1ACVjfHtDtBeikzttecZ6PfaHB7nM13nrLgChe5J6n54jTGjdftYG33tTl0u0dvvLYgKdONHjySMC2WclsW9AIBYFvL0IpQAiDNqC1IU6yizW2DDuKNKMIhhH0RoLlsWCpB8Ibcf3lK3zvG1Z4xVUpc+06y90GnV6d3iCkP/LpD8uVYDCWDEcwyC+cUcporBlGhnEMqVGcOtflj//yyxuGEe9/13e83Jw5v/yHmzfM/K8BcL3wfk4vXkbv7Ge+P44Gv75y/tl10nSo10IQafWHBZlUEUghUdJDyhSlRLY8a3xlCD1D3RMsjxSLnRk+cXeTB5/p89LrVvje169w/e4Oc2mdJAkZjGr0hz7DsUcUK+JEkqSSVAu0ETYLKgxhoGnUEsIgIvDHnFocc9sjkoMnA46cnEHpkN2bA668SHHjFV1UOM/Th1psnW5w9cWwaf0yS90212yVJNrwpYdDxgPJdDPhTTeP+Nw9McfPtrj8Ep8zKyOePeyzfeMM1100z31P9XjgWcE4Crjiolmu2B5yxbYeh84scfAUPLy3wYHDTRqeIPQkzdBQ80FKu+YZYy/WJIUogSgV9MeC7kjQjSHSCdqMePGlXb73DV1ecU3K5tmQ0WiKxU6NXj+kPwoYDD0rR0aK4VgwHEmGY9s3OhqnjKJsZYgMo/wxgkQrTpzp8qGPfXXDM4fO/3q71Uz+ywc//5GvPXeaj//GD/79BfhPvf+/IeY+R9g1/0jFx39r0Dkz7Qufei1EqhgBGRPZRylASoGUEk8JlFIoJfCUxlMpvicIPE3gG0Lf0AhSpmuC3thnuTvDJ+9tc9eTIzbODHjvqztcsX3EaNjn6osM2zcpxrFPmpZpfoFBSo3vpRw7ZzhyVrAy1Hz2vganFmYwkc9MTbFlzmPnJo+Lt8LVu7toucAffK7J0tIUt1zhcfXuDl95UiASnw0zkmYjYRAHSCPBSJQX0BkJzi0JrjINXn1jj/sfq7NlXcAtV8/yz75jgT/6Qo+H9zXpj3wWV1pctKXO5ZsH3HxZj3e9ssfppSU+e1/I4iDk2BmfU6cCfGWPlUCgjSHVEGtDmmhm5mKuvWrAeBxzxfYx7371mA1TitlWSBzXODNfYzAMGIztKjcsgC0tuMeC0Ri7EoxTRpFmPE4zUNv7MIJRIhhGgrFW7D/V4em/fnDdZRdt/K2XXL8+/vhvXPPnSyfez+z2n/v7B/Af/5W/ZMvL3iu+79+o92xtP/PB977yqcZVu2r0+g2kBCW1FSTSIKSPFAYhQUqZfS4zcFuwe57A91ICTxD4mppvqMeGRmSYqqXM1AWDSNKLmhw52eTX/nwWdIJIEm68dsBFmyKSBLTRGGNlkRQCqQSeH7DveMCegzWaNY9WIFnXEKyfk2yY9diyXrFzc8rlO1dIxSK//ak2x45Pc8tlPlfsShkmPb7+dMh03WduyjDdimjUrRTSWtIZKZb6hsVOSqdf5+VXr/DIngF7jyum2zVuvmqaH37bIr/zaXjsYJP+0LDS8zi31GbTugYbZkbsnBvxU+8Z0G50eOoI7Dsh8X2DUgYhNGDs/wwkCezalPLSaxLS2CdOQoxpMIp8zi4EDMd2RRtFqpBvw0gwGgtGkWVtq7FTxmPNONKMYp29ZwrmHsWCQSzoxYJuLOjEhng4Iuo+Ov2Om+Y++Nvz55NO8rOfWD4+Y2Z2/PjfH4D/3K99jMu3TKn77vzTdx44sfKRP31wqfbE3il+7Z93uXy7RimNkrXMGckCSOGjlEFJhVIq09sS37OaM/AVY18yjjRhlDKODfVYM441UWRoJzCONeMEokQwiiXjNCROa+w92OTJvZAaQ6b4UQJ8CYGyNR+tEK7eDO06TDUlMy3F3LTHhlnYsWnM5vUrxGaJ3/7UFIcOT3HDxYqLt0l2b1vmq88mnFuc4saLJDNtTS0YEsoQowRJKhHGkKQRy/0a5xZ9briizosu63HfYzU2zggatRY3XKb5yXcu8luf1jx7qsVKX7PSU8wve6ybbjLTrjPTnqLdiFnfjNl5Q0ToJ/heglIpMnOgDPaiimPF+XmPOFHEiSKKFeM4e4wk41gyjiSjSDKOhA1QI8E4Mowje1zHUUoUZZo+tu/nwB7FWHBHgk4s6EYaPR7yop3LvP+fz/O6q840OsuNjyTiA9rI3Z86d+hD6cbdP/TtD/D/6zf/gqlmoPYcP/fuE0fP/PHje07URHOGLz6k8D3BL//IClduTfFUipRpCXBpUMpDSYOvDL6n8D2DH0kCX9iT4AvGgSKKLdDj2BAlqXVFEueeQpIa0lSTaqze1hTgFgKUBE+C70PoCWqhoBFKmg3FVEMyMyXYMJuwc9OAVnOFT90fcc/Ts6wstLl2h2LnZp9Lt49IxQpferhB0/dYP6NoNUY8fQieO+xxzXbDYKy47tKYa3cbzp5JmV8OGI4avPmmHl97asiBU4pmXRIGba65WPPL37/I3c8O+dzd61jsGnZuSFnueEy3FVNNn1bDp1k31EJNGGhCL8VTlihk1lppDDZhpQWJliSpIEkEcSKJEkEcS8axdV6iWBDFhiiCcZwSxZrIIY5x7N4tuIcZuLuxpBPDcJwgkgE37Fzml35kkTffZOj2p+j2j9QImn8qg9o/FXLur47v+Ui648rv//YGuDBGLix233foyKnf3bP3WG225rMcw4g2f/OAJBor3v2aLu95bY+ZdkJvkOLJFM9L8Twf30vxPQ8/9gg9xci3TDP2JVEgiGJhT06siBOIYmkdhKS0/ZJUk6bWXUhN5pRkbknuzihpZU/gCcJAUgslzbqg3TBMtzQbZ8esn+mRmBU+8TXJH31hjg21GtfuEOzY7LNri2bn5mU+9XXD0lKNKzYpZtrQasScOyo5vxwSXATjWLB+SjI9DQeOGJa7mrMLNS7dVeO1N/a47d4acy0IgwAlp7lmt+BH3noeX57nb+6b4blTNTZ2YzZMJ0w1Fa26olGX1EOPMIDQB8+zDlMexxQgx17YqYY0FSQpGdAhTg1RAnGcWlKINVH+GOvMdsxdmcyCTATDWNCPBd1E0os10ShiKuzy3W9e5D2v7vP6G6DbbzIY1YjTkNHSkZpX9z8YNjxPSP8vsDzz7Qnw3/ujT5Nq/f1f+/rh39h34ES7VVOoxCZQVvAYiRZfekTx9WdrnFle5H9754CZdsIoTOgNEjwvwPd8fM8niFIi3yOIrDSJYptKt4wjLBNlrJQkEKeQptZJ0NoGXFqbvIczA7cFuNX2At+zAKmF0KhpWvWE6VbC+ukh62ZWuH9vxJ/eUWffkWl2Tfns3gTbNgVs2wiX7+gySLo8tKdNXfmsn1FMt2C6NWZmKiEIPISwF9dwHLDUjVkZGDr9hPPLATs2tXjJFee54+EB+061aYQxvgoQYordWxX/5PULvPjy8/zpHS0eemaaxb7HhnbCdCOhUZPUa4rQF4S+xPdtrKJUHrRblBtsD6vWFEBPUp2tbpm1mGiS1II7iSFKTHmPrSszSiypDGJBNxH0EhiNEnQyZK7e4ye+a5H/3/cMaIQ+nW6DUVRjFAWMI5849egtHm+HY/Xb7blrg4PPfPqPLrnmHd9+AF9a7qCU+qHf+8NPvv/4iZNzjUAQa1NxSDpCMVBNVkYev/Fxnz2HlnnbKwe8+voeG9eN6XXrDL2AwA8IA59x5BEG1t7LAR7Hkiixy26cZJ52Smb9kTG3RBtKcNtrLGNu8JRNmAS+oRZo6rWEVi1hpj1m87ou5zoDPvBZny89MsvScpNL1gt2bBBs3RCwbYPgoi0jvGCFj93jcfhEk8s2SmZakqlmipRjTs0bQk8iBRgjiGKPnRu6PExKd6BY7hrOLdW5bFuNd726w199JeDouRDfixHCR5smcSK58aJldn5Ply89NuDPvjTLo0ebbJ0RrGumNGsptUAQ+oLAt7GKp7CBsxRFTYbBXmTaYJ2W1AI+B3mSWklnwQ5Ramtdojx5lAiGCfQSSS+BYaRJB2O2revxqhuWefsrB7zlJo0n6iyt1InigHEUEMX2/EWJPW/9hTNzXn33r19+3bvUaNj9UK3+P6em/H8KwJeWOwSB/88+/6V73v/EU89uCD2DkgKZ5MumQQqBJyBIBD1RoxN5fOyrNe5+qscNV3T5ntcPeOstHeamQ4ajkOE4IPR9osQnir0iUEoSRZxKkkQSp4IkkaSpINWi1NpaUKgSU9qQSlnXwVeawNeEQUo9TGjVx6yb7jOMh3zlacNffnWKh56ZZibwuWarYfOsZONcwJb1km0bIy7eusxTR4d89mvrmVIe66cE7aag3YjpDFK+8PUarcBe3NrAcOzxtpeO+fyDtiam09ecX/bYtqHFO17W56G9PfYcCGiGCUoKC3LdYBRZrf9PXtvhss3n+djdXR54bprjy3U2tQVTNUMj0NQ8TeBjrVVJliCzf3defqQzqaZ1ucIlGdAtQUCcCuI0A3YqGCWCQSLop9iYJ4po1ge8441LvO/1XW68LGXjjM9w1KTbD4jikHHkM4494jgjpsTmHqJYcPL43g1+7f73777iFXo46Hy43vjWj5X7lgJ8aXmFXqePgO+74857/9PnPn/n3MryCmFgpYkUZEMrHfaUhlAKespn4CtOdkNOP9jgwaf7/NW1Pd792iFveumI2emAaBwyTnyi2CdO7EGLE0WSKpI0S9ikJcC1yZhblzVlQpgsqLR1HJ6nCfyUMIiphxGt+pCUIXc+Jvnzu6Z55sgUIg7ZNWPYPG1YN61YPxuwaZ1ky/qYHZu6nJjv8Xufa5KM62zbJphuebSb0G7ECD+iO2wy3TIIITAG4kQyGyoSndCLA3qDlOWu4tR8nasubvGj37nCr/9FyLH5Jp6KswvDI0lqjCLJprmQGy/pcu3FfZ49doq//GqdOx6d5nSnTjNUtAJo+obAM/jKHmMlM0nmnC8NGG0vulQLUgNJKqx/ngqi1CaJhqlgmMIwMSRJgo7HzNWGvPl1K7z3dT1ecU3MVN0nipssd0LGcZAB2reMHXvEsSJKFXEsMxkpGQ86PPfU3RtSLf/TxZfekiwtnP6ToNak2fzWAf1bCvDBYEhrqvn2+x985Hc+/8U72/1eh3rNI0ktY1tfuwx+lDDWuZAQppq6EgxUwCDxOD+u8TcPNrnnmQE3f7nPv/iuHlfu6LJhWtFueERxQJT4JEkJ8jQHuJZoIzHGSgJTBJRZql8ZmyzyEsIgwVcR3WHMfDfmv36qxpHzMzy2ZxqjA+bqgg3rDOumBHNtxdy0z8Y5yaa5hK3rB8xNL/OlxzWPPjfNtdsEMy1JqyFpNzTNeoTwx4Shh6fs7zcG0lQyHHsMRzGJFvSGml7fsNT1ObvY5tbL+7zkqhU+9uUa9SWFJ2MLSOORpAFRbHs8103XePHuPi++pM/DrzrNsXnJn94xzfmVBicXQwIlafqCIJdh2bEviDyXKlgmT4wg0RBrwTiFUQKRNpAmkMRINWbLzJBrd9rzcdOVKe26R5I06fQssJPEywgoA3Yi7fMkA3eaATwVJKlguNLliUe/OmeM9zsXX3rDcjQefvZbiclvGcD37TvA1i2b1B995C8ueW7P/nava8GdapNlIy2LxFKghLUBvRS8VOArQ5AYwlTQUIKhEgy8kGHqsxjVuePRKe5/bkgzHPNP39Jh21zCri1Dbr26hydsi5gQVq7YrKStlTbGYW4MQhqUsJ65IQGZ8OwRySN7PW57qMWzx1tESYOWp1hfN8w2DTMNY33wtsfslMfctGDTbMKW9UM2r1/mnmfG/MFtG9g87bG+De2mot0UtBoJ9XDM/fsVo8jDb1pQGSOIEknNU1x/2ZAHn562hU/DlJWuz8JKyLmFGX70rec4ubDIg0+sx5eAiNFQAGgcSfpDj5lWjel2k5dcNuBV1w74ntfMs/eE5vMP1Xhob539h5skwmM8VgxihRKyKH+APPDMcgJGk2iD0RpfpEwFETViXnJDn4s2j9i2LuZ73zSmHkiadZ8oatDpBdlK6mWEowqvPc7kiHtP0jxOsvc0lfSXuzz5+H3t+flzl7zmDe9Wx44eSnfu2v13B+B79+xhw7q54NFHHv0BJdLf6HWXaNT9jK1sbYeSkGQMrqRAJViJkBq8BHwp8LUhTAw1JWikgrGGUeozTH0GaY1eL+U/fWwGk8RsXD/iqh0j5qYS3v3aITs2RMSxyPS2BIe5ydP/UiOk4JN313nqUBPheRw73eDUuQa1umIqFEw3De2apl2DVl0w1VC0W4qZlsfcNKybTtg4N2Lrhi6pWeGTX2sz7De5dJuh3VC0GpJWXdOqJfh+xJcerDEeSPwNtnQslyjNuuLNNw+593FNfyzpD1O6A4+VnsfZxQZXXtTi3a/o8tizDY4ttVBSA3Gml33iVDGObWKmP/Lo9ANa9QbN+pgrt4245fIRJ853OHpmBc9PefKwx199tYFQtnCNyfmDRgMajCGOUnZuTHjva4esa6dcvtOwcQ7SxGcctUgSn+WuTxIr4tTL4iBFHNuVNE5UFhPlckRkcZLI4iRBonOAW5CfO79Mezb5jSefeGywdfvOP9q3b090+eVX/t0A+MlTJ1lYmL/s1KlTH3jiyUdlGCg8baPyNEvaJDpL3mTaW0mDpwVeYnVinBr8FBIlCFNDTRuSVBBpQ5QKxloyTiWR9ok1zPfbfPUpjSHlMw/ZkQ0Ynd3zLF5mkYm8IlEilSKJPaT28D1JK4SL1huavqYRahohNEJBsy5p1a0cmmpJZtowN5WwfmbMlvU9Upb5r39d476nN7B7DmYaGXs3JK16QqMe0WwMqdcbhEqiZKbBsXIgjn1GQ8FwnNIbK/ojTW+obctcM+DkuSleftWYn3zPOX7zrzyOr4QIoTEmRqeGOPGJYslobMtYW0OPZi2gUa/RCBvUwphWPeLGSyMCP+amSxO+93UDPJVkSSBt6+1dUZ5JOq0lQkhCXwEBo7HH4rJn63bSPObJ7oksY6BMWyepBXfubOWJpZy1k8yDT/PnGpLE8NBDj8gokR/oDwZfG4/Hz3wrsPn/GuBf+fJnmG6r+uEjB9+5f99BUQs8tBHWT5UW4Kk0SK1JpcgylFaeJKnVhkkKXmp7H5M8ok+zqD6P7LUoX2tBpCWJkaTaI9YhaWZ7ubciSynAE8LqfQW1uqHmGWoqJfQh9KAWGOqhoB5IGnVJo+ZZgDcF0y3NbDthbnrMhtk+WzYs8ge3af7sjo1sn1asa2naTUWroWg2oFFPadVjzixqDp0JqQX2goa80k8wijwu2qTZtG5EdxQwHJmMxSUrPY9WvUarMc33vu48h8+c5YOf3YonPQyaVKck2hAnHuNIMYxsUdSgJmmMPOqhTz1M6fRsjBH4qU2Y+TaJppS2WWNhsqA7q1vJavAtyAUdnVVZahvXpKlEa0miy3jHgjUP8PPnzuMEsNOUDNT5c4qEU5TA448/KZaW++/ctn3noY//1V8P3/vud72wAG/WvaCzcv5n+91zPysZyXpNEie2SEplvmqaGlSKBbsClQrSTJ4kGrzU+tVpnnzQJnttivfK52WlnPVyRREouZobcCxJ8KTGk2Q1LeArge8Z6xt7glooqQWSeqio1xStuqTVMEw1U6ZbCbPtMetmBuzYuMhD+8d87O4tzNRCNrY07Yaw4K5LmjVNs5bQaox5aB88ubfBJetNpnvLtPlwrLjpcsOlO4Y8/Mw0g7FhOErpD70M5D6NWp16bZrvfuUST+4/z4N7NoFRaJ3actjEkMSmqCcZjj0aI0O9pqgFmjDwCYOU0NN4Xorv2RJjW/uTdUUJA8IgKPVcGZzbEmKdO1I6t18dKzYHti41dZqxcpquAe4M2AW4M/a2IIfBsC+PHT/9fyqvFrRazV8BohcM4KPRQEbR6Jfuuv0v/o/O0pkgDDxEkjkkUpAIG1xaFregTlODUtoeIGVKKaNtA61OKZ6necbN5Jk3g84ycXmywhiDk3mvrLhlyW0ui7KMpcIp2rLZvzBQ1EJFPRQ06oJW3dBupEw1E6ZbY+amhmxZv8yD+4b80h9v5PjJaS5ep5luQLuuaNYVzRo0ayn1Wkzgj+iMbLGYr2ygnd9SLbJgK6BdjxkkmkFWZz0YpfQGkk5d0eiF1MIWuzbF/PIPdPh3H5F8fc9GDAptNGmqSdKEKNFEsWIUKYahpD5W1AJJGBjCQBF6Gt+3fr+n7PFXygJcZTJFCFNt0M1S+yYjEZPVsqQZ4FNdPloyktmjKAGuc41NhbFzMkvyVTvLpiaJJk7h6LFTQa3W/Okf/eF/4g8Gg3/baDT+1un8vzXAR8MuRse/sveZr/3LxfPHa74vs34Fk2XPMmClglQKElVqcq0zsGfg1vlzLdDaFGlkXXi0YLSxXeRZCah7ZwLgmezOAksrUZQUKGUlkZe1ovmeJAzsAKBaaEcy1ENDs6ZpNVLajZipVsRse8iW9Ss8uHfAv/ujdew7PsvOWeuwtOqSZkNa9q4bGrWURi0mTiM++uUWUil8aVCitAm1yZdwn3/yxmVufzSiF4UMMoD3h4peX9EJPWpBSOi3uXx7wn/4wUV+8Y8EDzyzEW0kqbZp9TixhWbjSDOu2XLXMBTUfEEY2Mxm4JkiY+spjVQ2HpLC2EaJHOBlyhPISASbS7BuSxbI5wDOpg7oIrlGxu4UK24JaMqsqbYGRJrqIoOa1w0JKTlw6Gjti7ff/a++462vFysr3Z+bnv7bZTr/1gCfP3sYY/RLTh55rI6J8D1ZHKS8USF3TlIJSlugp16eHs7BncsP+54uaiXK9isLdGHrKHJQ5wd+4nvlAM9rMPJMXs7enpfXnUh8X9r6jUBQC+3Mk0aY0qxbcLebEdPtIeunOzy0d8AvfXiWZ4+tY9uMYK7pSJOaR7Nm61fqtYR6GOH7Y04tzuArgZI6s+XKIDNNJUmi2DxjSJKYblzLOmU0w1FKbySpDxS1wCfwa/jeFFdsS/gP/2yen/9DePC5DaRaWoCnhjhJMybXjENNLZKMAlVIMN8H38ucKyVtHOTkJUT2uAbGrVwhSwohiuSQzpJDebY4TZ33dSk5C/mZmmIlzsmtqPDMnscZ+IfjiHvue6R+8cW7XiKl/EZw/NYC/Nknvkiqo8Zzj38piEYrBL7VzTisKdMM2FKQKucPzRhda0PqUYC9CuxchpgC6CaXI/nzC3w3KcoiKruKiALcSsqsUSKXJ1DzIQw09ZqhHlr93KjHtBsR080h62Y6PHpgxC9+aIanj61ny7RifVMzVRe0apJGTdGoC+o1e3HYVH/Eg3sE/VFATZFdZFaD500IqRbEiUezprj16h4PPdtmEFuZMhynDIaKXqgIA0XgB5l+nubK7Zpf/eHz/MzvwwN7NhBrSax11ixd9mCOA0kYaMvefllH76n8TiZTShknsyzvWiDPk0ImB3gG+LRwXlhz5dVZLKVzUGuH4HKwZ69dZtca5hc7fPRjfxO8911vbXzsE58fvO89/+B/PsCXFo4yM7dt+smHPvV7aTp6pRQpnrLNgFJAmt2VzHSXNOWyJbGMXSxpoJVYm7UdQOsC2GVTMJn2Lk6GsAVFQmbgzoqMVAFwUFnFoO9B4GM7gYKswCpMqWfyolUfM9UaMtPq8sTBMb/4oRmePLqBTdMe6xuaqTo0a4JmXdGoKxoFe6fUwoRWY8Q9TwasdGrMzJRp8hwwOtOmcarYMKd43Yv63POItl00kXZALqn5kprv4XsBnldHSs2V2w3v/+Hz/MzvGx7Yt4FYe8RZBaAte7VMHsayqC4MPInnZUVYUqC8/NhQfL/8Isylisir0igTQpN37Txq7TwWK6+zWpu1gV0YCKkTd2lI0pTeYPjKPfuP/OEP/dN3/9jeA0dXrrh01/9cgA+6pxkN5n+mv3L4fcl4Ht8P0Nogsy8tM1mQaFPqby0ynZ1/eYFWFFe9ndCUyxAK9q4EkpPMnSE9z8gV2ltSxAC57s4rBj2Frc/wDL5vG4trgaYWpNRrCY1aTLM2ptUYMTvV4bH9Y37299fxxOGNbJj22dBImWqYDNwZe9ck9dCyfy1MaIQRiR7Ti0KEkvg5gxcaXGTslhWIxT7NYGTLBaIaMznIRymDwDJ4GEhbE+/lG9Aartll+PUfO8e/+V3NA3s3EmuPcSqIUp2xuKAWa0LfEPi2d9XL4g7b3yqyNkB7nKxMEc4KaI9qcWG6sc4EuAsScojJBXcZV2UgTymcMGsslK6Y65wZLTh5apGnnzvyvnsfePxQNI5//n8qg/dWTtCc2rbz6a//3rXjwSnCQKJNSqoFUstMZxvSVGTP7RdV2mQdJZa9i2Us0266WLbdAyYcpiizksZdM3PWdoPKfLnNOnRUFkx5XtYZlBUh5dWDNT/NdHNMvTZmpj1gqtnjwT0JP/cH63j88EbWT3msr6dM1QytDNz1mrUTc3DXw5RakNBuRuw5arj7sSaBlPhKZ0Fc6VHky3ecKhLt8eobYy65uM+h43XWNyj7HMcpg1HGwp7C8/yi20kIw9U74Vd/ZIGf/33N155dzyiu22RYYmhkNdyhjwW5l69eOpMoEqnSYoVTUjgAFw7IWaVXSpCbKsCLCsVy5V1rZa4aCaYC7IrUMQaN4uCRM9x+1yPX/oef/5Gd+w+dPHbZ7m3feoCPByfww+ldi6fv/S8mXXi7MD2CwC/ArDMXRGrLCmlqLMgLYIsC5JWlrGDsrKy18LQnXJJVbknG3JPgFgapymypktn8lIy5A0/j+5rQ14RBQi1IqIURjdqY2akBy70B9z4Dv/rnm3jq4DrWZeCerhtadUGzJgqv3Dov2rJ3YAFeD8dEacpoWKOm7EUmhahU8uWJFBtoelbLe2PGkWEYCwfgmiBICXwP35d4SqGkXwAcAdddJPjVH1vmP/1FwgN75zjdaTNqSqZTQysx1LKJA6FvMu8/d1JMwd65VMkBXnzf7Eu7OC8UYnZS8lW1BHdVUtpqzpKxjXHlS67PmSA/U+Ai1YKlzoCTZ5bf/qkvPJC++mUv+ld7D50+esXuLd9agPeWj6L8xi2dhefeOejsJQhqpFqjRG4VVYFuA0lRMHTum+aSxIJaZEtbnrCpShEX4PkhdlVhfhLsuIecvU0mT4wzHMiWxfqezsZMpAW4wyAD92yf+eUh7/9og89+fT0L/RnWT0nW1zJw16zubmSBZT2UNEKTMbjV3rUwAiLueiJgOQ6YC6nUYyOqK1Sa2uaHdujx2hsGPLgvoheHTBUd65pgbGvVA88C3FMGJX2EtAkaDFyxXfKb/6LL5x8c8isf3sjJhRmG0x7TgaCVaBoJhLEdvRwoO9DIzwNNKYogOH90A3X3whSi6BUpzg9MSEgX2E78pF3wu0GocVm8Snq5bNV4PPT4AbZs3vjO2enmR7u94dFvKYMnUR/lNy49f+Ke/335/FMopZAYZJqipUTqaiJAOY0GqZFl04GrtQtQ5xLElDbUJGu7siQ70Dmz5Onm3AVQOcCVwZMW2J6y4Pa9lMBPCfyEWhATBjGt+hDPG3DPkyl/+IU2t923gUi32dAWrKtZWWItwNwnV9ldZMztsneM5425/7lpBpHH5kb+fSYZPLfSbClpzVe85MohibYAH8bCdq3nnetjbYNDT2Qsbi9kkSXXDYJ104L3vaZPKzzNh78w5N7n5jgb1xnUJO3E0PSMBbmXxSHKZHFJVvwm82MoytpxCZKSxSd3FCykSj6igklt7nYPlbXn1n0x1VV8EtQTK7xSHvc99AwvufGy//1d3/Hyx7u9wYFvZiTcNwT4sHuEhZO34QfTW0adfa9CL+J7AcYkaGFZ13MyXEo76V3tOCRFyldU5UiutcmSCRVgO9aDa18JMyFN8qwcWVc+xeSrnLl9ZWsxQj8mCGJqfkSjMSIIBvz5HR6/9icbODQ/ix/W2NQSzIYp7dDQDKGZddjXQ5vtrGUJIVu/kmYrgZUnC92UfhQQKEUgTRFg4vwp+QnMazeixKfuj9g0PWRl0GIYi2zcmo0VfD/NbD6V2Z3KArwSuNrKx7e/os9NV83zq3864s++tJ6lpMkg9Gn6krZna3BCDwJF0Qzh5UmfbOWThVQpE0AuqVTFigt0KiuwNlWpWWrzKqhLkJfATiusLzDCjoS7++t7X9UfpVvOL3YOPLPvONdcvuP/HcCNSZnd/Lpdg5Wn/mDcfYIwsLXU+UE1WpfyxMgCxCXAS5lidFnfkAePxUFAOJJETEiTHNymZJMs+yZdgEtjBwhVmDvNQJ4QeFaShMGY0B9y9FzCBz/f5NNfm+PwuRnaDZ/ZGsyEKa3QZKn3HNwyA7cskkK1THuHgb1w2s0xn7rf48CxOrVsAlfRLkaJ8mKMg7E6PE48rtgJ33FTjz/84hz9hkc7mz0SRlncoDSeJ7OxdTgg952TZVeFHeskP/ePB1x70Ul+/7ZZDp+dYimpM/A9mkrQyIAeSGMvnMxlKlY/UXZdCZFNiMz7OgXkZVnlmuqstHnpROGbr7YUC4niYCB/7Tpr7vsGQYLHnV/fy0tvvvIP3vf2l71lfqn3DaXK8wI8SWKU8ujOP7BtuPLkbtIlfN/HmNQBeA5YgTbaAbUsgqlShuRXqChel3pbFCxQskJO26aiA3Ng28d8lLIFt3VNcvZO8b3Edu54CWE4JvDG9NKID3wi4MOf38SpxWm0qjM7pZgNDFOBppExd6NI38usTiWTJpl3XoA7sNnLcRxx4GRIPwqZCTMXJ0865a5EnoU1Tk1K7NFuely0LUKFI3pRi2EgqMeGcQ5wL80SNcr62DIvAV4reFWsnxrwo28f8M5Xn+XDn+/ywU/OsTBsMvRq1DxFwxPUla2/D7JuHyVFlt0kWw3N2kzOGnJl0mEBKrFUztIOkelVbC5K5jYlq+flGRrF6fkuX31w7+5Wo7btbW+48WgcxfiBz4Vuzw/w0WmM314vpPeJ/vJDvucLhEhKxtWi6J6ZBHvqgHjyMzPB4CVjC8ya38Q4dqApgF2RJzKrklOpBbhnhwkFfkwtiAj8iM4o4v6nJH9+R5tPfm2OUdoiCALmAsF0oGkGhkZoaAQluGuhJAwlYSZNbGIocyYygAe+zXweOWO499EGUewTNs2qADO/lelsSwRRrPB9j9fd1ONjd/bZd7LJsGZHM4x9Q5CAH2v8SKOUtL61tANJi+E+lMcz1ZJESxqhx8bpIf/muwdcuWPMn93R4pE9U8wPm4xUgO971DxBXUKYD1jK7VWZ1RQ5UxCEA3TXXXGpfJKgJh2x/LUrPzTV12nB7tZ9S7N/pwEhfW6760n/nW+66RPnFjovWlzuz/+tGTxstmTcf+aWaOkLUzWvi1TlEpvvbKZXgVhegN2rZZi2vkE4dSVVBq8U/tgeHcvkRUpZF+We+TQsT6UW4Cot5IjnxXT6Mfc9I/jjL7a547EpljotZL1Gq66Y9g3tQNPwDY3AUA/IWNsydz2U1AJFLRDUArIKPZ2BWxP6Vn8rb8z+k3CqU7OJlUzfVhMnZf2M7YO0IE+0JIo8NrYFl24f8vTxhEHsM85mfAcRFnwqn6ybJ2pATnTm5BdPbkPGqa0Pf+/rhrzp5mW+8niPj3ypzSN72iz2GnRkQD/wCJQgkIJQYns4pd2lTonyIlUiK/tdg8FX1a9MMrkrR3AyoIiK3k7J6lgMJCZ7nX+e/Z5+L+E3P/rVqR9+zytvecWNl3yR5xke9LwAT0fHQsH4d0PxeFM1RmjjOSzsAlxmsqN8r/g5LbJlqXwNVAHuHJAKL1SkiakU6JdzDHX2mNqB+LmbIWPmewn3POrxhftafPbeKc53m4haDb/l0/ZgyredPHWfTHZAPRDZXWYlp5nuDgRhzt45wL2EIEioBRHGxNz1WMixM3XWzQp8qcvpuGuwXeE6ZZJiOPbZuVHwuhsGfPrrEf3YZxgLar7tVw2yyVLlKqUKvxohKzLFFOcka1TQ1m+vh2Pe+5ohb7hpkc98rcfn72twz1MtzncaDEXAMPDwfIUnhG0hlBI/awxXwqAQjjSs2odrkHlxbrXzqLPCrVJfl4ydAzpxtbcxmUvjCviUh5/c0/yhd938uweOnrgSGP6tAH7XA4/giRUumjrPjs2SaGTHDeuia71kbKMlGrmGFLEShgz0lZMAtndyjZrASkDpAFsIndmBGpEB3PNSAi+mVosZjVP2nYKjpxV/+eUpvvhIm/PLTfBreG2fhpK0fEPL09R9Q92Hmm/BXfPtTEJbZiqdu8g+NxnIdQHywLftaYdOa54+EoLvZ8u8cVL0ooICNwhLs77EJLXjnK+5aMxV2/rsPdVgWBM0EkEYG8aKzNrTGXvnbkpuQZZapfDZMytSa5VNH/AZRT71+pjvf/OYt926wu2P9vn4nQ2Onq6x91SDaCUkCT1GnodU0qbzAS97zJm8kC6Uwf+qm+um4LJ3KTsKOQJlV5bJ1ri8/dCk9rXOisnHKbVmFx09MX3pRd//j+ZXzB+un17rCzwPwPV4vxiMBv/7b3/wN9b91fkW//gtQ27aPcYL7PKYxoo4kqRGOUCWhS53ZUhxERR62wW3c8lXGME4ms8mNawk0dkuDylhaCepJmnK2UX48lc9Dp2sc/dDdU4t1zl0uglhiGp41DxF0zM0PW1dBN8Ozq/5dlybBXF+l9ldZQAn09wZuP2U0LfsbS+siCPzsOdoA19W7cFColDWgxeOQu6k6KyvMfG5aueQSzcMeOZwwiDxacWCsQdBYmcCKgfgUgqElBUmL5nSKWPVef151hSc+oz9gHY94p+8ccwrru1yarnLXQ8HHD4RcvtjDU4v1kiHPlp6xIFCSGlXiqwrX5JlPKGQLWuBvBJo4mapc7fFibrzxmetAQfUkYEkRXgpUqXcfNWI73lLj2H38elu9x0/qbzRh1ej6BsA/Od/66ukafK+O+4aNPcem+buR5tcfdGYV9045qqLYjbPpFyyK6KGII1lZhGqor1pEuRWmpSvy68zGVgaJ2IvWbuQIirFD1Pi1HD4hODpw4ovP9TgmSMBzx2p0x2HjKMQ/ADV9gmVoKGg4Wnqjg8cenmdRl42a+vCw0yWBIEiCGR2AZhSe/upzSz6VufXghijI84tScYmxPMkgTR4js02QeAFyFNT7XeMEh+Bx/rZCKlG9GOfgSes0xGXBWOe0pUMpMxNaoB82BHZqpozuTMYyU9VMX5iMA7YNBOxY2PMjRePGUZD/umRDs8cDfjygzWePlLj8PEacaIgVBipQEhS6WSDiiTFBbSKmPjDcVm6gH0hPwqwxxqPlN27YrbOxlxxUcSrbxxzzcUJl25NOHTqOWb4MDK9sBBZ85Pf+5MvcWq+qz5295Pi4JFpYhPzxKGUpw42uP3BmCk/Yce2mGsuj3jjzWNee30ExnrN9abB6OyP1oIktmDPA0kL7jwHVz0Ydlc1O7/E94zdVU0a4sgwGFlGP3pS8hd3hAxixRPP1Th4ImShHzBOA/ACUD6qrQikoK6goQw1hR1nprLCI2VZO/CFTXq44PYlQSZLwgDCgMw1sSlz39MEfpJlRGPqtYjzyylffqBFpxcyMyXwMi8+L/oSF2I27QSEWjIeK9bNKd5064jbHxlyvNNk6EsrUzzwE4Mf55515rHL1NqFuLNOZPE7tPGc32GBHqSK1FMkvh37EMe+tVL9mGYQ84prEl5y5Zh3vGrE/hOSJ/f4DCPFn325wZGzPgjJYOiRRiov38R4OcAnLKMc4BVgF5k9RGoQ2mCwPmK9meD7GoHmtdePeeNNY66+PGLn1pQpH9a1wBhFktS4ZItCc1BE4jXq/LG/STbs/M5vnsG3rGt/gDi5Lg0b2VUVo3XC/CBgXqccWUp54JmUT9yZsH42wWjDDZdFvPf1o6yxwbB+SnP9NRHNWrb6GFHkwFafc1EM5+kMBE8+5bHYldRrkof2+HzuazVGsWIUK86cDdDCIzY+WvjgeYjQw5OSQAlq0lDLgB0qQ6iMrQH3Ms/XK5k7yPsyC3CrrEdTFOwd+JogyAu00oK9gyBGqYivPq749NdbqMCzdltFf1+YwXMvPJ8NEqeK0cjnbS8d8tn7u/zZXVP0kxrNTIf7uQ6P86SMKbqFhJAFwOyvko7WdwCuLZMnnmVy31MknoeXpBboKkUpO0h/ppbw0ssTbr08xogx737NgFFsx7n9zddCHt4TUA8FC13Fk88EdAcyU0mCC4ryYucJ2xp4/fUR66ZT2w2Uat77+hHXXxpjNKyfMcxOGxR2Y940VQxHilR7VmrFHpGW19XXzX4A+NFvisHnF7usm221f/W/f+ZyE8cqlIKxDNDaw3YUJ2A0WieMjeZcV3NuxWqn/cc1n/uqDQ5Mapia0dxyXUSrbmuC10xPupd55jqs9BWPPB3Q7SikJ+1MFONZZhIedi6wB9JDSokvhQWzNIRSE0gLhEBBoMoZfRbkomx48GwjQN547ILbMnxWVuvnDJ4694TQizEm4tRCQDSuEU5JgiztrbKqvEoWU1CSl2OdFt3pWhHFPjMtxfZ1EYEYMUxChomg7tmxCnkNSZ7QUtItb5XF77K/I0+26TJ7qrOGb0caJUk2j12pbP+jhDhJUbHNJdjNCRK2rdPZiqG5cseIyAyRnqbTETzytMfKQKIKxVINql0yx9i68GbN8JLrYqZmNCaxK3tdgbLlc1byJoJIK1KdmRs6m82iPeJYkphUGd2/fMOu97XTuNNVfnWu4SqAHzu1wOnzy7/+4JNHXrPUGdDwFFLDSEi0CDDGs3Qs3UE7FuCJMXRMpqeUobuiOfPVpvMnrgVwV79lJ0cIdL7lAlnNqVBlkCNlZmXloM7SzpJs49bcN3YevayTXpFtvUcBbtvWpQgycAceRYmpZfCMxT1NkGVHfT8mDGNOLGj+9PYmeAG+FGWAWcgTsYrBXX84HxJqwWZPXhT7fO+bhnzmniHPnWvRT30aid2U1lYBlgOUhMpzAm6wl5cu5lJIOgVe+V0XtTCep/BTOy/Fz4CuZJk0s3Xj2XOhs8FBKZ4wCJOyrqH5By/XINJy816Ru9arHbISDgK0RxqX8VkSS2LHfs6duty5K0CuJdoodNIl7u99TTQ4+utGJ6s2/lkF8A989E6klMGho2fx8qZdYfCMIBYQG0lqJMaoagScBwzF9gn2depXqhXW+HtzdssBXg1ehJRFC5oS4AubVg6FrRb0pX2dD/H0MoYrCok8nDkoZDuzlV31JcBlIVvCwBQtbUGgncE5CX7G3oEXI2XEsbOC+W4N4XmEkoo8ke6f5ZxuVzpUgJc5HVHiM9ces3PTkL1nxwxTj1EKYSrwU4OfZDo8oXCWyhS6qnQq5C6VnbSbNxUIRxppvFSTKony8u3LVVasliKVzlYKXVqzGchF/ruxU7KENIXrlQM9d8BKCJQtcBTxWF5Y59rLjgun82y5xGQrTx6cG2MYD06xfOpTwVoEugrgz+4/jhCCwWBIoMAIgxICTxsSkU0gzRyAxEmzmmzpsQ8TjP180kQIu6wWvYACSZkitlOpwBcGX2SgzSRA/rx4LyP7shSUosE2UMKCvQJuaR+DHOh58JmBO+/+8XQhUXzP6tMgiEmI+fz9dc7N1/GnFIFbw+E6KEwoUjd17RSm5Umf0dhOsH3ry/rc/9SIblJj4HnUE02UpdPdMdR5wZkQmrJzKA80RWFLWuswm6liIFX2d3pakCiBl8psFztby5NkQC+TabpIsEmpncRb9ly64M5s3mKvmLVPf1kxWib+ysK7arY8HyundQl6W2I9YtA9yjcE+B9/7A7azfrL//zT99y0fD4FZb1KZWwjsZc1JdhaXkGKUyuQm/n5QWVtQVLgOr/nyQJhN+0WWSLBg8JqU1nK2M43KTWuyoEt7X7y+SgEF9jFHBSF7UdcC+B5wJnrbi+XJSbT29Va8sCPCfyIsx3NYwfr4AV4mTzxnAKlPNsnJhBuT6BTdVf0pcrCE49jnxsuGTM3PaSz3GCQKBoK/MT+LSo19h67AMeCvPhFcgIwIuubzECiNKkW+FqQKkmqNKkSJBnI3eK1vBxC5iB3QJ2XTAh0BnKykubcKyuTdhWLwZTHo1qu4QK9WtNUFurJopBPJwKtpm5at/X1Lz99+K33bbn4rWsDfBzFgPkHGH19mkQEnp+1GRkUWY9cwQgmA7OpZKsKY9+5T17ArpmUX+V5VqwEhykYfLKE08trI7Ia8LzU0zYX550qVpaoonulBHbefGvZO9PcHoXezi1By9gluP2iOjFGEHPb10Luf6aFDD0CKez87aKC0J3P4tZRl+fWLWvIWSnNAqrhyOfWq4d8xyt6fPC2FlEa0k8ltdQwTshWLrfqT2dyTk9cUBdictCezFrGRAHuVEmU0pbRpcxGS+Q732kH4A6wZbWMopQp+SLtrOgTZQt58q/AewH01SDPGdsgK6tfkqTIlOuTZPgPTBrftyaDHzxykpnp5ps++vE7//GpM/P4nizKJSu12zhzSsjrDPIvY6qZSVFVJ26g5YI7B0Bll2PKmgd3tEHO3HYLkvw1GYNTtGFVWDzrhvFVFdx2nMIEc2c9m0HW3uZ7ecNB4txjImI+fleb1ISoInvpBphlX2PubFQ0OBPtelraURppHmx6CHze+9oBH/38mBUdM0xrDFOBn1CwuJQGmYii6MzahZO1R5LSmhRUylO9bHSDykDu2V5aL5WkyqBSW8Fos8eyKE0uLUq3urMsYy6aUgqgm9U4WCMkK+dLitWrz1qg11baDPvzjIe9f7zl4jfd3Vs5eXtrelsV4N1BglDxJacWhrvPLfZpN2yNrSwifrfBdIKpnYqpbyhNRBZziKo8KYA+UZ5ZaPEJzVmOYS5neyglSi2eVdxVht1kwPaUKJ2Uwg60Hfe2MdlkzF0GmJ7D3qEf8dhByYHTNYzyUVISSI03WafhCPBJFyW/5/2pbnNI7qjEic/uLTFXXdzn6/vrxCpgmAhqEvzU4CXZZgIi68JJMh2OtHKh8iuFw+LCkUZlc28+E9JTOgN31s6mjAPuvBbIZGUCpiDCfPUQDrgR+cSs1ey91i0v4cjZ3ZUrBau7gakBg0KaFXy5tFsyvETJ0e2rGHxxYYloNCQeD7NST5xfkp2MYkkpB/AYqDy/8J9QfuqWW4pJoDvgVkXNd2m7lZJF2O55UYLbBpmi6Bb3CnDLCsDd4T+2254C2EW2smDulMCziR3bFRRjiPmruxosLtYRoWd9d/cinKxBcZctxyLUusqqFW9a20TGulnJe17X47GDbcZpjYEKqKdWi+flrEqSgTtfK3TmiedpcMviTDCizuY9uqMa7F2iinnupnhuAS6zv1MXbXN5l78QsmyOmGTwiaaVUoubysFxyzjcHgFTgH6Nzi8B2iiGo5h+f5E0GRWoKwD+J3/2GZSSnJlfoV1XSOlqIvcXVotnJgvdn4+/c/+/lCcTjy6gXRavjBcrGVu6DK6Ew+K5XJEorwrwwMsGAPn51oFZhtMz+EUqXmfP08rdU7Zz57lj8Ik7WoxlgJIqy15WL8TJDObkZe8e06oOz7R4qkhSjzD1eM8bR/zxFwc8dbhOrHwGUhKkOnOPBDI1znEytr1MuGupzn5Xdd8il8lTDV5hIdrR1iorCVCpKYd1FnNZRHFBJxN63J5Pt1gOh8lzkD+/BbF60JAoKNJMXAAAWtc4feIwZ88uZ9WHDsBPnjrF1i1bGj/7Sx+46NipBXzPfoG1WLqoAJwA/yS0J09oRX9nV/Ck9r6wRCmn1U6OQ5YOY+dBZj61yfPyTV4z7a0mwJ2n7/28MVnbmSFFi1je05lk9xjlRxw45dGLAlBeJk/MRHns5IVbPSDVgUYTXnjWjVMmfjyavuDyrSOeOhCR6pChDqiltmbbyzS4EnYjV5tYytlSkweZJZO7CRSbo/OKwab2PaXtXElPk3UQGaQuJwTk07XSvLu/MADK4LIIPCfOd46UVQ0TVWOl8mKyGcatQi0ls0GKmHZr+qIbXv4TjcX5HxnMrd9sAX7k2BnmFzpv3LF13c98/ZGn8ZSsLB6mwuKm+gUEFcC7CJ90Ttz3CgDIKhBKYJd9jMphRVUZqpmDnLJGWjmgLp5nSR5F5oVbcFsAl0OBfFeeuOytsr7OIGKpp/lvf91icVhDhL6VJ87WLPkq44L8QrfKNIF8TkzB4NZRSRKPdsPjJ97V4yuPtVkcB0TSYyglQdZDWY58yBjcracXuiijNegM3DpzIlxnRWQMboogPQe7kiJjcCuJ0sJFoZAppQ4v2wlLmZIHnqVfUjk2ziq3NsCrx6wC+kKqGOIkwgs3/MzZU/vuS+LhZyBj8Psfeo5aGPDc/mOYNCGoBY7OcX6JWf38eW8uoN3XE+xWanBRglxOSpTqYJoC2FIgVTl+TDmg9qTEyySJVwA819y6CCp9Txfg9r28/qLK3r6KCYKIv7zL59lDdZA+UkrCvDTWsTaLPeKzP/KC1YSUbF6OTChBnmiZbfLkc83uAW9/RZc//mIN7YUMZUAoRZH0UVIQOwHdJJMLl8mdIM2tidEKlLGrgp2UQDHb0bK6oBwrUc6iKSfT5ttFVuVJ4aw4xEYF8N/cbTUeXSaXpElEb+UYvm+fFwBv1HxqtYB66BXTR3Pbb20r55vAdn45VnSocPSYWAV0d3nP270KNi8Y8hsBXJYAV04NtZfVpfgUUsRXpVviO8OBSs1t2dv37NSq5Y7mb77aYqETQi1zT4QTjF1AoiBE9UQ6GnKVbVdk6yQ6zd0Uj5m24jtfM+Cz949Y7IdEymOYysyeFJl7I8pmbFlxlyFj7/wtXbB53h8p8HJnRWXPZfZaQqrKnTtckItsi8hCSmbyxK7Orh4XFXBXstfkoeTzwL1iORsH3LYjzBi7y7XWPsaExc96+w8cZN262V1fu++hn1xZOk8t9BAyLymZEPvfxK3AtRtcrWLu1UMzK+xdOVhZ4qQC7Orsb7fDxQ53pwrufGeDnLmVw9yrGDwfN1GOnPCUzVweOSrYf6yGJkRIr2jOLasH3fhBOK5GeUDcWpQC5AhHnojCySjazVIPjMcVOyN2bx6xuLeOSQPL4qmVKZ7j4pTs6RZ6ZYI7L6MF+7ooaspWElkO33FjG6XtRaOzDQ2KhJYsyagAtxbZLJVck7uSzRQXfA54Q+kAuRxwYT+uDGoKnAKp9jl5aoFw6pqfvPjSVzxx/Niho95wlNDpDjcNRumbTp1dIAwCa185ltYkup3gFbHGtxETn0/O0sgB7aayK+85vYylMyGcYLMEtGVwslHArg/u3rMtrZULbgfk2X71flYamrO3yl57XoxSMZ//eosDC3UISnniO9Zl5YJl9biIVSeqYE834MwzmlUtHkUeF6+LeOutAx5+rgHaJ0mtFvfTLLubVqVSwZwVSy4DuTGORHHkisyey2xVkfndHvs0WzGkyFhd5yusKYipTPi4zzPmdtrbyiSQWIWZKmuawhtf6xhCnkmXxONFQj95k2K4KVDJUS+fum/3R4EQylkbk3n2NfLua/7aSjApJth7Najz15MBWg5osQawCzZXwmnCdcCdzScst+1gNbC9ckBQMeLN0xnIEytPVEy9EfH1fYrPfLXJcBRAw8OTAl9Upcnk93f/5rWZaEJ/T1iGri8eJx5TLY93vHrEF+8f8NC+ANP0GaYhgaC40FTx+0sd7KyrBcjdjiobfGYXmLJsnkqrx7XD2nlQr7PgUmrh6G/hBLrVGKoktgzwBR5EAfRVpkTlmD2/Unclcz45V0h79+I4Jo5idJrasmtHTlzwrIjimlsT1PkXvGBg6SydFeaeeF5IEVGCWipn9wYlstqUEtwlyPOyWYPnlSOUvWwTJk9Vge4XbG3vStkAMwgi4ijliw80eO54A3wfIVUGqmxuiBNcCpfJcS905/i4rJ0lzYyTycxLQ3MtntuFUeRx5Y6EN7+sz5NH64yTgFT6DLUiSJn4LrkXzgSD56Kg+l1Q+cWm0Uqg8oSKFBhlM9q5Hi9WVAky36pdWDYXE2AXk/c1sCHygE1Uj9cq3vwGEakQWV1NmpIkMWkS4330L25DeYput0sYeDawe57/mLjAG5NfLNed7utVmps1AO4AumTxcgeCUpo4VmHB2DnAy8mphUTJmNsytimY2isey+d+Flx6KiYMIp45Jrj9/gaDYQBNHynyykEce3CNLKbzd7pHKa9FKYIlY6puipvwcQqwotin1Yp480vHfPaeEU8eDsELGGlJkGlxpUGluV2XfYeUQh6QTmQQVenkeIpSukjL5vmqkgf52liwS10m2oR23ZSMvHTJ7OWxMOUEAKqAd0lysmZpNZGujghLqeNz8uhjLJ3fR6pTvF53ESEFcRzj+3Ii2/Q84HZZXFwI4JPL0zdgcemA3dXcBcit3nazmUplFYZZRaFt58qee+588AlwZ3c/n0KbFfh7KrF3L8b3YxKTctt9de59pg41D6RtaPadEt5Kaax7d1+scavM1CZj9KxBKndU3OL+VCvGI59XXTPgrS8f8OyxGkniY4RiKDz8lOI7ibRkcSckc8BdMrk7xF6pnLktm9vXAqlFocMLvz9n9Hy1zRi8GNopxNrs7bymSAaJNfFTPneKtRzArT60ksWlASvdGGMMXqthh8eMRilJLCqgXfMXrQH+1c+rq4ALYiinreaMXTooogL2AtgVqeKm6Z27mgC3cu5euQlqDmjfAXXunFjHxD4qFRP4MU8clXzirhYQgPQRQhVdRCrbSNXNurqOUH7EyqPqROOVYjWn6MotoU1t656dQquK9L0xHu997ZAvPzDikUN2kkCsFYNUZAVfGehSUyz/DkmC812MMZbFHaDnn6oM9Fpm+/nkQXGuvWXG5sI+FudQOwM7XalClc0ngb0WqIvv66yEa2Iye6I1JNpDxB4GgxfFtjAnScuTVLmSJpeL/AutcRFU9Kbzc2XAVVqBTOjuUqqILFlQWk85wIs5eS7Is9a0crMpu7NDOQC/BHeFtZ3HvLE2lypKJfh+Qpwm3P1QnacP1sH3QdrgMhDGmRzrBlbVTZyq5F2FlnGeFA0QTo1IpbowlWiVOSqpxzjyuXr3iFfdYll8mFoWH4uAkQYvFWXgl+Z2odW4pUSxX2DNojljj6VRBmkEymCzn0YgjMAIkEaUUsUJKkv2zs6rdgAujcPia5kPjg6/kEJYhTVT+RljyrjLGI2XM2Sa2h+QWYi7diCQ/7dMCe4CyGKNi8IUoKU46cIx/quOSXWPmIn6E0Gx906xe3HefFtpeCi3LlFqAtzOUPzCPVEpynMAnkmUwIs5cEbwkS+2GMc+NPxMnlC0pil3l2DhXMiVAzex9Dkod4HuyhR3cwBt1tLiHs1Q8n1vHnDbvU32nbIXX6oVg1TZKsM0S/4gLBOm2ViOiZXE5EB3AC5NqcVlptGlNhhpz5GRwgJcO7FSzuQ6Nwhwzm32XK+V/8hxUkqPVXJ3LTWRXRDFv6kwenng1ft/7T9v9Dzv/z527MQVYIoM4aT2da9QmY0LUzJvBnbtPFF+5iRgVEVuuHtY5uOAs8dsPHAB3Il7PjLB9biLR6/U3dZBqYLb3aunLKbKdn/w4qKZwfciUhnxx59r8NHbpyEMQdVQyqOhDHVlsnEUFA3OvtMaV2ZS3USUpJwMSyVALWOJ0nbML1ohyRp/y15IJQ3CaLZviji1IHn06YBE2MkDWiiEsKW0a8U9VbdLFJpEuK+NI2pMWX9UyhenN4Bq2YGm3KVjzbv7byZyAMUkYhx/HncS7Rq/K+/ldNclo7ny6us2XX/jrXd6z+0/Pj1/vvOWbn9EuxlMeLnCYXBHqjg6e3JJmYyQEaLyvEwAuO7JRA2Ky9qVOnBT0d6yAEMpSZSjvVWx04OzEZUyE5IkrxTM2TvG92L2n5Z87CsN7PwVy95F537++wWV8cLS+bvdQFO4LwoATYBDuye6nCuYDzZN87EJqSJVmRZPPb77dQM+fXeDPSd9kBFGSEapj0dWL5If6zSDZ5onfnKoOtLJmAws1qvOv5vMACYNSGNlS667pbG/w+jMH9dZgFpZnatsXpElE/iqBKAOniZlySp5ky0jljjHSLPyln732LSniFAiydjGsk+1Gk5MgLgqTVaBuQJ6l0GcFi5Xlrg6VlafuwC3XSS5/nae50DOq91yDe6A205k1dmjtQOV0qjc71YJSiaoTJ6kKuFz9zXZc6DU3lJI630XHTSseQIFk6+dmKVUJ87zagNyxRN3JlJ5WtjaFFmm8KPY48pLxrzt5X0OfSwkShUIj1R4DIXASzP7LpeQRZJbVPi4CIEzvWSMQJk8e2iliTEm0+LZXZgyxS9ASwt8ncsUJ7h0we4CusxwrgHyVXi7ALkKW3wgsgysMhABnZ5GqARvtu2RRh7thsL3Ja4n7QJ5lb/t6qE1Gdytg5j8A1cnAiqBSgXgJWvnr3PWzsGeM3cBdOUyeam7VR5E5lucSI0ny6H5SqX4fszhM4r//qk2I+mTT9Aqu+azFcStgXb1ZFUMXvBWnUOZuRkGqiMSXA0uKvUpdnyZT5gm/Pg7+/z13Q0OnfZAxaA9YuEzFAKVlo6GdIPNCZDn3rwBvPyCy96Txh7znM2lyT1xXWFzLewFpaVAmHL1WG0mZMB3Gds5bKu09zcAfEoWzEq77+ZgpFjueWgV4FndaGfzeZ69IlddLa5um2Rp1gCx83NuxFzagmuAewLYYoK180RKFdy6lCiyyuBexd/OwFzxu527tCzuexHdSPPBz7Y5dT4E5WXWoMzkian43sXziRO1atV6PqDjatK88cDt0cxT+LK4F80QUpEmHlvXj/nht/f41Y8EdGIbEBgjGWtlbcM0/x7Gzv8ohEkJ8vL/7ScquwqNIWNuy+o5mxtj608KBjf2PBmBrYQV2XNhgb96tVvLyFgN9rXVw2rgA1mvtSCJBXEsSBKsi6KUnRGisjoEnIovKv/RCeZ23lu11DigLqzHHLysAW7pShSXtcsprVI6bVPCBbTD5J7OGF0X0sTKEb1KqiiVFI+eivHCmE/eFvIHf9VmrH0rT4Qq5EnRVDxhiVV0d7GSVY7eBVk8x1VpFbqgz1P2Bq11OfCmSP7YGX01L+FH391n/7GAD3/OanFQpEIy0jbglCkFg5cFWPnJKlP3rl1pwV1KFmMyNhdloZglHWPtw0rix8qY/HflgNY5yTGpx0UVP2sB2PlsLeswj23iGJLUxjFeoyYY1SyDI+zBnATyKoCvcWVNGvaVE58Vb12wNc2RH1UmN06QmW3R7W4ZqFzXQTtSJQexw+SyrA6sPiaZ7x2ztAx//ZUGy+Mc3BbgvrTa2xNVeVL5rrldNnFCJvHtau0c5DmnVKr6Jrde1BN14lKitEJrjyT1mApS3vn6AZ++r8FiT4GMQStirB4vun1EqcWrF+DaTG7zQGVSKK9PyYNNk7F4AehchxvWWKkz4jR2NdFFWcjkjh6OLF4DyJOM7tj6GGAUaYZjTTjWeJVlNfOhV9XirrqSqmCeXGJgAuBrLlEuQNYAtqhKkwp7y9WSpHzPBXdaYe2SuXPWLtnbbyTc9tUaDz1dRzva2zY15PKkWm9StGa57FLR4+Vna5N4xp6FhVZKlMlmCHeyU2okypS+eJL6eDrhJddEfMfNA/708wGoCITECMFYeygh7OQw3AyiofxqjiZ3fHBVVJZmOjyvnZFOoZi0M17c82eMveCN05Ko81ggZ2uTfzZRI35BiVJ+MClX3Fs+mMoYjbfSS+n2U+LYENZKvVz1Sy/8H10L5JOAd4PWoig+Y7tClsgSMJOtUC6wSxcle60MXjZiTMrMMZEm09U5uNPSMZG63I1NWvck9GMOHZd85LYWZ3uB3e9a2kHvSlDu2DARL6zS3a5rtAZ7rzoRlOxd9YYntlrM9z2qdN3b/XPso93+ZGMz5fu/o899T4ccOidBxIBCIxkJ6WwilYEqA3VhY7oXnMvnRTYzOw8umwv7PAdzLlvyldl+ls9+z2VKmV0tJZ0pQFzt33SNC6ceZQKc7kUQeIKppmS6pfDcjGKx7fQFro41rywX6JNAXsXgE8N9XM1drCKm1N45c6sc8BMgL2ZkTz5PC+2ds7gnHd0tU7zMFgyCmHGq+b2/bHPvY3Xb2yY9q72ltF07opy/UnzXfGWZXK0mmNzFuXu8VmcwS9ei3OPdLZ91y2htu1k5L1uTSA+VeLzqxogfeW+XX/q9gHEibQZKS5LMVZFaON8tk6MT01+VdJmc7LVwYoPMbzZgpMkCTFFcACZja+usOE0PZhILa7C204lkMVbGCpOkUb4uZXV+HnKS8Bo1xbhmN1vy1QRwJwE+8R9fxeQuoHEADRdwT1xpsgZ7O/vPy7XkiTRFt7fdNls7EsUZ+5vr7WzGdRFcygQ/SLjrEZ9P39tgHPlQ9wrtXbC3XD3UZ1VJrCNLXEC71ukkfbuFTWWXuAtuMCqvMqzWiqdaIrWVKjnQk8Sj3kh456uG3HHvkC8/oqxtiI2vYuExzMmnYL6yIAssCxelvM4qY3DqUjJmNtIOqxeifJ1Lkxzo+fk1oqxslNny7U4zc/F0QZkygcnqe6X0SlPNYKSpjTSeykpNQ99Oe7pgRuICjL7KvxTOF89/xoma84Ibl7FXBZVZFZqqAD0LMvO5eMLR3sUk1BLYnpoAuirB7WXgDvyYlb7htvsa7DtTs9JE2JJYkWtvgTNByqwCdyFZigvbBfTz6JP8EBvLmrklt1YKezLxM1kvLqVC6hSpPeKxx2WbYr7jFX0e2hPQibL0q7Z6PEKR7wMhybzxShlt+d0NNrlTXJAynzYssgshZ/NcqmQJH5HVkBdAd8p2RZE/KjCSd5CVdvPEFKw11MKqY1h8ZkgSTZLaTjUvZ818Nl+53d8qfK95ReVL3TcKLgVO9o9cnpg1gszqzI0S3LkPXgaXshjMnoPcTIA725nAeczB7XsJmpQ/+XydP/hUCyM863tX2JtSe1eswdVAX2WdCveATaJ6onoPR6YU+jtn8tWtbOVuBxqdSrS0vriSmjj1kUrzo+8YcPC0zx982iNOSpBrBGMhUTofJJGB221tK0Cd6Qwgm/yW/U1ZSj9nc7LMprD/TZOtzqYAuimK+Cybm2LlAwoNT2EpVrE2KaOKYzuB0/yYJandskUg8Nr1GOKEqYZGC0OaOgxSnIR8QXOqCB3ET4K5BLqpfFY4D472rjwWUsAUzF7OxLPvTzomMge3mpAnE3vWq2zvGavBY/wg5uBZyafvbtLv+1BXq9m7qPl2YgJRJngqcmzieQ7yb8ThptQAjhzItfjEXOys6aAAunS29ZBWi0vpEccprWbCO1494Itfq3PwTJZUsGE9qRAM7Vpjv2NmDWNKsJsC1JlbQpb8IV9wciclT91b9rYz3oUjT0qgC5HLljLxVCSEst+7Wq6ICoG6RGucY2gyeWczmSkrvZigFuNt2QiNwLBwNmUQ+QgMac7ihUc7cfVMLDEVK2cNUJfjvErglwxoJqxBU4wDUw6L5xNNlbKDH8vB7I7+dnS3dGSJlJljkjG55yWMY80dDzb5yuN1Oxxc+hbgE+ydF3kpIarBME7N8ySTTwSY3+hWEEmRui/vWlsbrtxB2m5FYnW3LmWKlqRColKJFop47PH66yNe/5IhJ77gM9YyszWk3d4Rj5EAmZew5ic0s0FMtv+2moBTUSsuKICPECXZGwogS1kFOiITQ5N14Q5GSiclx5upkOkqDe1WFxpDmhr6Q0135FEfB3hbt21eGY/HX9TU/iFZdEzmgU5ge9USkQeSk+a7dL+cdJ2GkrHddHx12XcYuwB2DvSybNR1TqRcrbetTZg6zxOktJ06Mki455GAX/ujKVLjlc6JVAgh7T5AokzLVxncdXzWZu9vIolZIhtntSzYyG2AyLxx8qlXWTGWKB2VQpNL640L7ZEkmiBI+dkf6LLvpMc9D0t0IDLI2j8g1oohuf+QAyZjciXKTeazP6T0wrPVNv+++Rz5TIeL7ALQlKMkTHb+DSDyQNTBRM7WFkcT1YIVEW7WPJAuIbSaNaam2l/cvG3Hirp418X946dWDiWp+BGjk1V9dJPOwWQpq3Dey7N8RcmrWwmoJjKSsnwsrL9i9zA3gJxI5mQ13oUtmOttOSFNKjZhntCxvZYnlwS/9pEp7nu8aaNrGWQlsT6eFNQlhJJskyuzuna7cs8aoIshOdVhRHnNe6U2XlaPZflaOBd9tSTADcJz+Va2hDlSz/3MwLq5hNAzPPRUwMpQTiw1spgiXlYcZrLAuMD/Zq5W50LIYeesSGU5wuTKNTlI0yVnUf57qEpn53W5IYPBGMPMVJ1ouPT9J448t89r1ROEEMSxZqiNIz+qDF5dJsyETnIZ3FQGarpXaeGHOhOYSv3tbotRlSZyUnPnLO4CW662BW1gmZXCZs/TIOUjn53iM19tYmoKhLLoFB5Cykq/Zdnf+Dwd84VkWSPcd47ZxMI6UTJbBQRQCTSr8wuzIDObH2gy5jZGlzUqQiK1IhUecpjyztcMee6wz69/yCMKE8eaEBjtMybLhehMpqROpjLT4PnfYciymxm754RvctmSsa8ReUBZOicirzOvHDuDSKvmRJnVNAW+JkpnVq+C+UVhYDjWxNpuTly4KKvtPrMqZ+9KoAqgVwWXpXaqAHwtYItSc68F7ALQIgP4xJ4x5T11gO6CO0UWNScpX3445I++0GSUZlPwRW4NZllLYSrae83UvAv0yt88IVcqYF+b/UwW3OXe86qMJmZVCa2RTmZTOs6KULYwS2bFWVKTao/Q1/zAW/s88GTAlx+3dmHujSMF2niMtW1HIwd5xTq0TIp0ymiFQGEyUDsgz5seRG4PUgI9U0BCgrQ2h/XEmTx+pvgKLuBx36sexOwCKrW4bRYxeAsrkny5UkKsPfynAnLnqppk74kAszor+gLOSQ5w1x50wS3Knb3UKh2+Bou77C3TMsD0YgZj+JU/nOLwqRDjlbslV7R3LpHWkGdrOibue+7BKo7dhQX5pB1bzWi6xVeuHl9dm6JlVnEoXRZXiFQjhIeMNBdvjfm3P9jhgZ8O6Y2yP0bL4nuleIxyx0zmtkgJciMBnYHaUDgsKgsojSTrSipBbESpzdcEusP4FyqftV/PrH04neOZ/zspoV1X1Gp2Fzav1Z5DSEUSdUnGA5SSiDWEvJh4Uol8J0DNBcBckSmiCmixpkTRjg/u9CUK44A6d0oc3zvfnTfzvD0vJknhdz7Z4vG9Net5y5y5S+fEF1VZolZ9dwfsE8xNtuq5QzfX4utV/DPhnJQNELmmzMFsVlcbCsvgRdCppQV5KtEiu6eZVNGaG66I+Ynv6vBf/nKaKM1YHIqoMEUx1rkWz4pKHJAXEkU4lSoiS/poh80lCE3xWmauiTFlLYwRJTlICcKUuMmDUFeWFDjLoSlcaqBw9TCGdrvFutk2cZLivf4NbyCsNTl1/BmeeuQLNuAya0HcAe8qBnctnoyxcbX3Wg5KFdAl4CclSnV/xpK901KXu0mdyj0LLGspdz4Y8uFPtugMfesBZp43WZOudU7KrKVbMKQq33u1/najfZdTyv3VJgA9wdqr8F4BegnyKmtnU2FzSeImgYS1EVOpkEbbepVE0a5pfujdAx59NuSOrytoJBSFIwBSkGjJiDymKEFusKWxFLal9bxz9WKEKDKdRpcgzuVLHgyvdlHApBNk4WTCyQC/itXXNlMYjGKuuuZ6bnnxdXR6fTy7R7tH4Ek8L9/LxdpSFWFfWSJMZXlGTICZCzE2xXbPZdKn/FwVwC73Ysx97yrY06rfLa0VKIt91W1gKWWC9BL2HvX4759oc3AxsHUJwtHeWcWgn806KZwNsUZQCVXmxgG2yzLV1XP1UujmGPLDPKG7S2fBKUud9MjNGoVYRhebyopcqghjpUps2D2b8OPv6XH0rMeBUwLjuQJLgPRJM5AzAfIMbRmwXVbPfXFrB+YJGxyQS0e6yMzhMQ5JVAuxyte5r14ytDMAKHviVj/GibErsuejlIdX7q5rGcDz7FKoctVenBhT/MklsCdqTiqvq9tYuEztbnOx1qai+a5dSjhAl2Uyx+7ZOJnMKYGuVIqUCUGYcLYj+JUPtfn0XQ2Mr8p0/POwt3IuwNXOyUSM4gC7OOhrxTDOz1TIZwLs+Xura1JcHZ4D2g1A884fy+BS5M+z4FNoklTjS+uqdMaSn/lNxbkVAaFLtwKDVzC5C3IrQ7ILTlo/3gaVWZdPDvQsKWayHIiry3PpUiQATbka5tfSKtlbIVqzNoubbDC0MOXeqEoglZL4fnBWeeL2dnsGSCtAFI6MqGQW806aifeqn5cetlwlM5zy1on3CgDnjokTSMpJOzDLVMrMNbHPba1JhOZz99e58+FGVmuiCmBX2bvcNdidN+guo6vKYh0t7p6MSeb+RktqgXEX0OTMLcrAzWkjyx0UV4+nOk/8uFteS7RR2Xv2eZJ4CCN5480j3vayAYFIIUlA5/cYTIIxhsTASMNYC2INsbbbtifFkP78Xr7W7nupfV8bO1Ar366w+Jk0f99k9/K/We7fWd3P032srmaQxJq5uTmEkLfXwuCslBK5YfOlHDtw51HJ8L+tW78eSVI5YVXQ5oB0g8AqSAugqqxGJGPiNUHtJGtKIDv/VmZ13JnOlo4skUV1YFpxTmRW550IzWfvrvPrH25zcsGHQFnmLgJLicjAXWQtJ0sG3PihMvtEVABc1pyICqhdAi+emTUxPvGmcMAuVkmSAvD5BCwtncYIidFljYpN8dsufJ3aFrd4rNg+p/mZH+zw9tf08UUCaQLGAbpJMFqvCfIkA3liBEkOSmPBnDiATo27wezkBZB/7oLaZBafqW5Sa74xyAUwjhM2bd5EbzD+b3/1mTuPXnv1ZXaPnvue6oL00cMhQSpo1IQjJdaSInoNazDfl6Wqu/PPyiKr0j2pBJZCT6Tps9dKVyRKGWA6zJ0FlLkl6PspRxYkH/7rJvsOhtBShVtSJHakLKRJ0WfJRG36JHO7bkqRO8g92mpAKdZk8tJFWSvZY1lbTyR8ShdFFtm+avpeCgtyKUzhjYuc2bOsmxDGTr0y1huPx4YrLk74gXf0ePjpgKPzzhWscz1uZUgiBaP8YssDzixgLIJLbYfv545KbgkWGjz/DFP0a+b3XA0LR6JUXRXK7OqEPi9+Rghadbh8Z4+brlqkP4iBbBOq3btfhO/XOH28xvyJecLAztJ228hWOSVFDYpxlvLqz1aAPgHqwkVxnttRZSXQrQbXTuBZBXcZaKYoYdnb81KWeoLf+mibu5+ol1WCBbBLaRJIJsYglxeycsFcubirDL3KKlytUr7hzU1PV6oKjStfsso9bcGls9mARjjgdzKdUhjbGqZNBm6rx4VQ9jISmnSgec0NY/7F93b5D38oWR5m3yNvzLWiFqMViVtolPelZdZgHnxWHJVMg7sXsEjLC0LAKqBnGC6Ajvt5DvjMgSmCUkrstZsBu3ddzuWXXkuvb/8YCXD1pTt55a3X3tEKur82PRVUZETJqFT0c2V0wwU0eCFrVN4zmQNyUncbR1+XGUrpBJSTmjvPULrPlUoYCcPvfarJhz7ZohdnhVSiqrvt7L7SOakUVVE9cBUf3GVqN5h0TmNlXMQ3gfTJ7voCyPlnrtvi2IWlZHEtxMnJtFaq5O1t+QBPnTUsJ6lHy4MfeXePH31nj7pOQKeZTEkzyZJpcl3V5JEWhVyJNVaurJIszmtXuuSyxTj17nq1Rq98VjxmEsaYUp9rSFIDIuSpvSu/Vp++5g6jdpcA37xlE1/5m/84qKtzR9ZNQz1Mi1FokzUiedCpHOBXfk44WrsSYK4OLmWltaxk6Wog6bglomRuWSR5MjtQJuBpnjvk8xd3NOjG2WRMHFtQKgtwMmlS3E1FeysH0M+bvXRclOJ1TmgVfD8/0t2iooplmAearvYuLgKnKdnV36s6f9zAU1l9rhXaKMvMsaLlGb7njX2uvHSMzLW4KbW4BXtagHxsINIQG2EDTmO1d5IBOzHVADTJdfQEWF19PgnmdBLsem2w2/2lbP3JIFLsP3L+yI/9y/9rsGnzuhLgANff/FZe/NJ/yEUX76TmjwpglkMvzdrMW0mzTwBZlKCvFErlbO7YfVJMsLf7vkozL9zJUmb6O9fdnp/y7GGfn/jVGZ4+EGJ8WcqSgsGlYwuaYpDP5E4Na1mDa8mUSmJH4Lwqqf2bkivVhNyELz5pF5ZbcE+yed63WQwMMrLwx40zGUtrlY1/U6TGQ0eK6y6J+cDPrHD17jHEaQnu4h5nYC9BPtY4TF4CW08ElXl/aeIGlsYFcuYCOUA3pvzZCuDXCDRTbegMUnZfchn/7Pvew/e89+3F8SwA3my3aLWnCEJJanQmxVw7cILRXQ97jYo/1xYsV4E89a6rn02wd+6YSIfB1wJ3ntDxfE3PSH73U02e2BOSqolkTlZvAhJPTDQziAs5Jzg79paBjMvoVMCeAXrCF38+hE+WjroIN2Y1q69m9jVA7rB3PplWFzMNq5OxrIVod44QqeSGK8f883f0acnUjoYyrlSxLI5JLch1BnKTg9w6K7HBAt2ICTYXpbNiqjKkBLtYG8gTUiadeC8/cGEjZN2GWebWzxTH1cufdAdNwlrz4PnljYdGydzumjdAKXcrEndbuudL6lQDy0oms8hi6iyr6TonupKxLC+I1PHFM3CLFCUSlEjx/JSBhg9/uskn7mwyzsEsXfa2lXPStQXl2uxdYe1JxhYlsKvJnKo9WEX2N5Ink+ydl0mYVTpcQzHK2B0MJAvJYqvohJDILAkkjEBoiZQ6Y3CDMAZhpA1AsZnONDUEwvCe1w/Yc8zjw59q0Y+xB0xnVJg/YgCPVAuivCczmxNhtI0ATd4QQTmOWWlRlNQaUf6ncidFZsfSBppmVYbTdVGMc/xTo9mxuc2VO6cObZhtHKxlGfkKg2/YuJ3lM/fevm1L/c92bW8R+pHDvpNsO6G916gVcdvMKnJDliAuGX8S3E7J66RTIhxp4iX0IvjQZ5r8xw+2Ob+YZyhz9nbliUAJZ8YJkx06rhtUdVTyess1U/YTrF35TDw/uHNUu4VWxXuVlyJj9Em2dvzxnLGpShbXWTEVXW51eLldoUeSKjbNaX7hBzv8s3f0aIWJzcaY1GHypGTyLNCLXCY3WcBZCTAnJIubKHIZvMLs9nuvpd0n/fH+UKPq64lo/dnHPnXv7du2bFnN4ABTLY0XyM8vn9NvF8q/XqRuNaDJHASDWxaLy944LL4qNa8rqfmCvTNgi0ynCzGhwWXqSJpqf6WsGT7z+Qbv/2Cbs8tZMkdO6m6Fm7Es2NupOZn0vNf2vkUFvJMOin1LfCPC/oZs7s4tLKVKxulrpu6t72ynSgm7jbYogS1M6YkLkbG2oLAPBZl1aAxCK+KxYfNMyi/8UJfFruTPbmtBLVs61mRyhdaSSICREGQMrkVpCZZMTlFuK7O+xpzdq5YgZbWhyNrgSieywJwtAzAEYUBq1BOpbHx+pIeVYyrdFzNb38FdX3nwviMn/Ef6wxr5VKPSFtS4roqYSMpU7MVCipgKaxfauqLD3cKpSTCXz0vdnaJCzcGTHn96W5Mz8w64xcRd2oylJ0rnxMsKhiY7dUqQl1vvuXrbtUaKaagupr85VVKA+Xk/d7zvSlravRCKxzKrWXVV3MCzDDiL1P3EpNrUeDadH0k2r0/53n8wYPf2CKKcsR1Nblwmt8mpWNvAs8h65hnPSmpfFMFjodVdfa5Xa+5KQGkoYoxU22M921JsaI0fefje2+/7F9//hspx9CYP7Nz67YBk2OnjiR6+l4sfysxRpQ68LJwqdXfJ+iWb6wskedxkTlrUoghHmuSypJAtgebQaY//8wPT3PVoDWoOuOWkPLGedz4GwpOlDJl0TlbVfOeP7uCiSZlCPmZMOEy+luNSJjImXZL8qnD3wikr5Cb8cUPB3lZ/2+I4YezGUGsVZQlswCe0zJJEEqHz86iyudr5he0hgHSY8LoXj/jln+jwix+Y4vCZwDIEGYPnf6wsL1VTFHpkH5qco+1FqMjHT9i/RWYtknmyyIoE+zOSajJH5Cyf/15tSSbVhjCscclFO9C61N4XBPi1178GIb3oxL4zDFZOA6XdVJbPloGmzH6zzNYZ6YI8A241wFwtT1yNvja4cwZPUL7m6HmPf/ffp/jEHQ0i4frdLnOr1YGlWLuRYbKpoeJvT3jck5rbtQOfl7jdDyfoOwe8oOqs5ExOXkJbOCrVOnFy0DuZTZHJFSGyjCe2KUJoaUGUsXkhVYxBa5WB3g4Jqnma975hQKrhF39nimPnBfiUIM97MysZS0GSAVhrm/X3ZV5RmDVLSOeizWQrOajzZov8mJrqeXBlXJrVxkyv38zb3/bGKE5SfupffQOAN1tzSH/qpzdt2XhVz3vqNZ1uQhQHRX2Cya/0tXR3RXOXTO2+JwuGdgGeFoAXWTo+d08suDM70Es5Nu/zs789xSe/3CDK9xUUawWWjjSRVMtguUDVoPO3FZWCk2AXpd+9Sp64V8L/4K0SVOayw5i1JYmxvzD/PGfwtSbTulpc67y5WJLPJCxAnvOsUAVDJwn4KuV73jTEU/Bzvz3NsfOBtUdcLZ5JBQt0O008MXZOuO04sgRTwNbt/oFsrnLprJT7Gq0hFbPjkWrojYFanZ27d3710t3bf3pxubfquK4CuAqm+er9X+nCzmEwqNMQw2JGSi5PKjbgJOALEFM8L2WMq991RaeXYK6CuwC7pzm9pPiF35nik3c0iPJ9BR2tjZAFuEEU7K1Ye8ZJpV6GstmhzL8+3gAAKEtJREFUUo/M6vuqALN4Ycrkz/8IzleBd3V9SvEcgcatPbEyxWQxoJgEe9bOlgebldfafltNFoBmaXBb8mXZPMHgoXnPG4YkqeBnfnuaM0vOgSgCTkofEw+E/W5xAf6ykUNjZ5UrygtYGjvVNpcnxtgCrZxWc4mY36Sw20RetD1J3/ISse+hhz/dfckt71x1aCVr3F58/au58UWveXqc3jRa6jZIUtuzJ6gycp4MWZWocV67zJ172a4VKCeCyBLcaZaCj+24Bw8++NkWn/hSg0jJrHHBKaQqHld73m7GUq5xr3QiledjVYLH9b/X0tflgHbxP4rvajZzVVLHdU/cz0qb0B31VmQ7neRP2SRhkz9mItPp1q2kuX1oMisxlXiJ4b1vHvBDb+/jpWlmHyaOhejYiIWVaOODOMt6jo2bCLIBZpGlNNVkUJHRpPy789cCW7+/cUpy5aZ1Ty0vD37CV2bNY7smwNsNxen9f/nTmzc0n/M9VbJJhfWcQHHidcnMTsJGTLgossrQahVza+t7Kw2e4Pb76nzs9gbjoiJQrX0nkyYSZ1+dC7N3bjdV9tsREyAv//xqSawDaPf4uLdvBHQz8YOTxL2qEcLJZBZ145Wfy6ZfFfUrjkdepPCdWhU3ja/zGvIynW9yv1xLgtTwvjcNeMPLhojU8cYrIJ/0yzXaWK+8qF9xQG5rWVy/W6yZwXQv7vIISbZuv8Q8s99Lb3zxu9Y8vh4XuO245JWkyfBjo+6ey8eDM81Vtd2FBLGH27J1/rl2nJLc/3YZXTta3AJZFMkebQuohA0ohQd/c2+dn/7taZ47HGYNw+p57laaBKI69rjwuykDy+o4CFMB9KqEThF8lvZgpdBqDVB/Q3BPpDFXTfV1PXDcwHLCE8872CsNyqbymOvw0kq0ksToTKIgbDltpnWEsE0HCFNociUSrt0d85//VYd/o+C2e+tkWsN+a1eurLpJUizI81rYfEKcO/9QOkculzQiOwwKpw4d2LBhff/Nr7v1Y81mjX99wd96gVujvcN0F5/4rXWbLl3wVAKUTRDCyVZWdHYlgHRrUVKEuDC4y0xmWR2oPAvuz9xT52f/2xTPHcnALS8EbEvBUk72V1I0MpTZywsDuOKSOPJkUo+vBWAx8eR5vW7zPO+biZfOe+6SbUz1Z9xtrd0sZmUbFEe2uFsTVkczuyOaHcmiJToSXLUr5td+ssN3vmpoa1bSSZ988q4LrzzNmHysRSFZyhqV0iMvirRcL9w5NONYc8OLLlu4++tP/9bll2y74KG+IIMDbNx2CdGoy9njDxMnY2s3y6o0EQWDr+WW5OCfeO6wdam3tWVtmcsS+My9dX7+d6Z45lDtG4A7c00ycFeliaO9i7mKE0VVzwP2CmYnmHuN4kHnH3zzOnyVNeg4JMXrjPGKYfnFz7lsXnridifiSTbPmdsO7BSUAac20jJ3+fWzqFVl7+futYAo5dqLY/7j/9bBGPjcvQ37j1R2JWpNMWq2uKvib0mxwPVkaQtO/q1Ati24QOb+i86IShpm5hq86NrdzM22n/fYPi/AVbh+HPWH/9z4l35cJU82fS9x0vZMBJxrgNvxtSvvSV3428L1uTOpgie47b4aP/fbUzx7eA3mljlju+xNUWuSZypzBl/T64ZVkqQSQE6AvQB58egWopVXQPXlN4a4yTCzSp6wRo1KDnRc+eFqdOEkkIQDeptEsTahKZI/pWyxjC0khYeu9f/T3peHyVHcWb6IPOrqqupbUrfULaFbQrIRICQOWf44jAFjbBgYdvHxeQePjdfGhmXWzOwOjGcZwPjA3lmwPYONYXbXLLALxmgswNjmWA5hELIYSY0kaKED0VJf1V1dR2bE/hERmRFZWa3uloSA2fi+6q7KzMqqynrxqxfvd9FA5yZU0hUAgC/+lYFls6u49avDYBz45/+b0qRC6JJO5GaBy+5v1YDSiM8V/gKGk5jKdsicCzVRyO4MK5Z0jSZd8qWOzvbylAE+WiDMTR6/YcGSxHD/m89nmM/gMyuQDU3vZQy4aei0IYcAt0V8EIuBWwS/fj6J636gaEmMCx4R1YQSWVfQTEEL8yxD/Ttqvc3ioJrl1gAbToDapkkG4KNkXO2MbIuwEG2H/GK5adVrFps8tPCGdh5wccWzuca7eUBVCKDlbVKo7hsC8CLiEHI7V71TZfUpn4XWFhVg6ewqbvvaMDgnePy5pIB/XeKrDwqOEOR6bUZbA7k+6ZmMP7eYi3PPXTt84vHdG/oHR9j4rzLOyGRbkUrnDmRSQ5dM61xSTScLsmZJHXDrCgoNnTmEsBhwMxPcVID7yZcSuOZ7OWzpdSdESyA5sk3EhdGpiQJwXH5lbSH7iNXWgVwD/AiC4+jMJIf+Y15vZ00tQ92xA10qjO7THUCmbKhoi1ESTvJwn2tx41zJiFYQu8KYBb9MsKS7iu9/YwhrTy7BYrLFMPcPcWPBZA7iVnhEJgQRvFt+Ho8TDI1U8JFVi6p9hbFLmhrzB6ZPbz/ENBpnEJICvM2wMvP2WJkVOz3ehqqnoruCS6rxcWZY7sDNri1AQ8vth7TEYuA2weMvJvDV2/Lo6XWF+5HGAVqnKLL0A2oXllYM0GvqDEKz3jVA16x3cD00Lh6ZDOOtPicsFUYxHSwcTT1cyYPgpMa6M0lVQvCGi09mUJdIKTh9YSmlw7CVOA0SJ+JAzivAgq4q/v4/DOHMlSVYvi9WipMBubzpANc/PyGABR8zpzXgrFULdp6ydNaeFzZuQ0PKnTrAxbdj4a3XX+4dHExdWSarURxT0dH6TzUPAA8tPNYEtx+oKTrnthwGbgO/2ZDA17+bR89bLrirUxAd3KYzBxK4KoHYigDZiBZUMqAOzDoLTV3erpEBx7XW3HDji/314W1Iunz8Y0LrrRZhSi2Jc/HXWnEWAbXewS2qlYePVQy5ngFUC3KfWeBlggWzqrj92iF8dGUJVASKyDc4MZD7HPCk1VY3NYEJgCTx8Om1i5FxrCvXP/lKr2NbONSwD3UAsZegUi7CcVP7GNynKyOvnpFw+sC4bXDxmpomMZabEtNbaSUYdh2keO7VJG78SQ49vS64q1tpOwbc5qIybPUn6QlUbW8tEjAGyDVhsfWkQoQH6LEocSpLYN35oa5qPJCVRzO00jx8rCipoYyo7RLQRHJt1V8TqjCQiDsRYFG6uHgCITrw5UnUglO62UU2EJHdXa1A76aAtvj0QKs+Fs6q4ofXDuGGHzO8sDGJXQcBuBO4IJzCAwFhslNGEDooqMlIycfc6TmcdvKipy8899R9xeIYMpn0IU87oeWAm0ijp+eZ7RWe+eH2wSXYuL0EgAcVlcQ3rFQT35AFQ5e7KvMg47mTDD17HXzrjjy+dlsjtvUmhOVWNbtjwU0DlyMFjJqC0SL1geYNzSUfTMZ49QTRY3Tg6yY2wllIdEdEdYneN75XzUusYlIU4Mf9r3NszZsZnCOSha/c3CzGmqvmVjzg4pHyE1zVPlSx5FFLLitnMRu8QrBwZhX/9bpB/OerhjC/owyU/NCFbyQz65ZcvEFFUYBw/cQ4x4LZw/jKZ7rRMSP9w6dfeHb7RMANTMCCqzHkzQPN5Df0jRUfSrKBiwaGtyOVIHCcqmwdFyZAhFWn9EVkyLlpEti+18a3fpTFg0+kUfKtOgvKiOWm4aLSQigJKssdNKwyQmHlel3j3VHlRK+FYnIUDaAaJ9dBO64cSGru1B88PCxq71RWj8619WO5YeUVQGUFV2XZVT6kBniilBcqHkNp41Sabyq9nZyqh9Jis1hLrq4Q9XxMa/RxxXlFJFyOv/lvOezY6wAJ+Y5FhBigczMu4MhA4cvJaBEgaTGkbR+fPmM+rjh//kNOtnsDMDRR2E7MggPAyqUzkPAHez919mlXd7TNemRwpBXlKpVReGHrkGg5NYuEwLYIg+UCO/Y4uPHOnAA3LNHxaRLgVgkMuuVWobAEWiIDUCMJ6s1o4/+HRdoVdmNjv4n5OLD+E770MUg2QK1Z5QAKRLuvP13jz4ha9yjfRoRnm8fqioqYKGYG0HiW3A+y9y14ZQsJxnHJmWO44aphHNdZFeUoFCdneiyL7gHlcsEpXt+xGOZOT8IhMx5xsmdfPXCg2kvInCMPcADo6u5A4cCLu+bOP2FzU0s7LFKGbYetsfWsG8WzCRXW26I+aILhzXds3HBnFg88LsFtx8WWjANuqOyckHeHLQlllzfogOU1VjqqnOhANoCrgVZXV+K0blNJmZxQqNMP5azRd3D9fsDPSejUAQzrbng5tcnCosCH6fZn+gIUipaQSYFc1Vvh3ILvUSQ5x6VnjeHGq4bR3V4VYYX6wjMAeTWoosUYxxgDxhjBaJlhRsd0rDplxeYnf//Crua2aZO6thOmKGq0tLbDTc++1WGvHseKr19mY7+sEmtab6GWeIKXWwwVRvDypgTufDCD+59Io0KolqwwDrg1xFFoerce403NGBPdLR/LuWFa5lhQkxisRiy4fj4D75PDtwZccVPLGq4Rcy7vKvzrKgk4DwrQh+adBX0rg8UrEFITtdgEoLiLisNmTC7DKQOF6OAmzsVlxhARhTZln07hfEPNwtOiomitazNcdtYYwIA7HsjglW0JlJkl3gjl4Zsi8s0TBo9bGPCApunN6Oyec9+pq5bfuqVnz6Sv66QsOAA0NM5Bse/+ITe96AvNTaVnMukxOHYZllWFbVVhy+wb1eHMshnGQHD3ugwuuq4Z9z2RkZk49iHATRGVA5VaYmbmcC1DJ/RS6l5LGECPkQsRWucoqPXtk6Egk8Z45AlReVDfZlh2hJPDTEo2A7IYr50YUU18PEoTWu5wwRkU3uckVkJkmiW3PeCyM4v45Xf68bnzR5AhXkhTtLrkYBWAlQG/BJeNwbLKz5ywdMEXbvvHJ4aWLOw++gAHgMbOS5HPlYpO059VGGmFRapIJipIpcpIpspwXJGkYLkco5zg7oczuP7OLPqGHVRVYjCNat1Ry20F6FPhr3pupQqDDRWSMOtDARkG2GEqHlGQR5UUbZ8BwGBbeLJYMJOJgTygHzxmh86/pVnXi3MaSokReBUNwpJviItPZujgiAJbLULN+PEoyKNZ+bGcnFP4vg2f2fB9CosRtGV93PzlAj574SgyxA/LxHkeUCoDpQpQqQBeFd3tOdxy9cUVQkrFv7jy3KlAdfIURQ3fPhEAexGpj62mpf+R2n1gFPsGKSglmNnGMLOF4fX9Nn75uyRuviuLwYIt+HZNXImeaqZb7vrgDqw4YuJLEHJrvb4J5HE66GMTiiOgN7dHgqn0/8TcD237eOAmkccBVSExmNepCoehiihvSBCJSMIFp2AAYaUsFeYh4lcIGOVB2DeRtIUygFEKyhiYpCsAAEalmiJkFSqllDh1hch+mRaD6FjIAHgMzQ0+/vbPC0g6HI/8LoXt+y10tjLMamUglGBvv4P+0SZcfMHpYx9ZufRFi07JDh8ewBPJLLg//FdO28f5jj++/I1rvrM9+dLOBlDfwydPL+KCtSX86P401m9IoOxb8eDW3e9BY1LVS72+5Tbd74hY7ohLHjFgjbHMqoV5vViTOGSbEuGh7LW5XwFNB3fcCIAYBTavnQxxx0IHM9EWlEBQYAeyeZWeJB+E2xK5mJUtCuNATmSiQgByIgLyKCWghMFX84MSQUk8H80ZH3/3lQLWrKzgzvvTuHBtCReeVgbxKF7YQvHQhqWlKy9dczuxrP/UmM+8+wAHAGLl2NbNP75xc+/C6u7Bxm++3f+Oy4sF7Okr4Xcvu3h+o4tyyY7IgLYJbIOOSLUEIec2WvshtNY62ANJENFcSt2qm9p4dAJEsRyX2RN87hgVpfbxxFk4l2DTH/PYg/T7AsVGpg+Juy+epFvxAMQaR1cNpYIoRbUAlfp3QImAYGFKIRaZIhKRhjo5lSELquEUiPxF8cMsfPhIJhlWf6iCrTscdLb7mDWdYWwog3NXdVcSjdO+/dhT62/60r+5YtxowUONwwI4APzT462V1ubcLScsT1UymcK3Tlm8h37m7AIcl+OZVxN4Z1MiAuw4Cx4uJpUUqJda07Vus9xDJEMnarkR78nUcRirhUcVlIjCoj+3Bsqa2jGhoY6NPs+wuop+yBsJM9RD1SWkKQAJlQ+lnmvnC38FZKcIwAizNSYBwgWqJa04JaECI0DOQQgDOJWWnGtrIPHBVJ1GAgSzy/J99Gy38fNH00i6Ddi0pYIzV8xg3V3LvnX68q7vVcqDlS8dJj4PG+D/5RsX41frHh077iPzH0qsJX9zXOMbmDPTAmgZ09sUGdOrTkXjukNEKXCrEmt6AJWeFa/Tk2ijqBoLrb7dOMseAXdUEjQYtQH2WvSSmEMnL6XUH3qsSjARJFANjyXXOLiy5iAagEPAM0JEyQkgOE4kOrCwH1Bw+TgYCCgTrBuUyQatIiQDEug8oIiqjSABZyws+aCkTQBgHG/3UWx7ywXnOewZcNDdvYZP6+p6aN9bY2MrV33usK/bYQMcAE5c1gWfTn/d9t2rbK9452jxYfqL31I8vyklqk4F8SVOvNVGGBWoYrppBNy15R54jc6taIrCVj0gG5S6Dj2Btl9sJzU8HojMiYiFn+zgkVt0p0ruCgBJIo8j/Fzwa7Mqlu7tDF5EPUcagsCLKV+YcgKhiDO5AKVBT0pBY6j89WQgRJSHo5QHi0xCFEUJqQoBh+8znLqsgs9fMIp7ftOIT51zBmuftuiqjq75rw9v338koHlkAD5j1jL0922rNLWuvuuRdX9I//7F7u//Yt1+7B1IAo4GbuqEwIZpiQNgw7TWlsa59dBXE8C1WTpGIc24Bae+8NT075rFaABmYTZjLf2EOPkUh+74UQtTzYIbfFxTU8TxkqIE9EZZd3mYAjEXljaoPw4VihL+EgAiAUEtQMEIgqw2KDpIIarF8iCCERAWnkvHECcsTE6rckxr9vCXVxzAOaumwUoWrv34mSfd9eofX/dP/PDCIwHNIwNwAGhuW4g/btvtn7Diih1b9x1XqFq/yoKMSKstwU1tw9paEkCWBmy1XbfSRoF6cAPA+i2Ogih8GdwaprU2aArCCaCPOAnwUMgNS5BFxjiBVYb6EbOZ64BX+xRVgWalJa1QUiLhurUPQ2cReDt5KB/KN61bcj3VEkwKXoyAEQal4imgK7lR1bDkXFh4JiNOpU4GHxy8zDGrfQZmL/x4gafP2lGtvul/ePmCIwXLIwdwAEilGlAsDT9yxYWnfsWyrNt//sCvmre8WUCVpETfcJn1ruNHj8vWO50FYa+6NUZMNnzMwtIAb3RfzQQIkW1Sj/ol2PSJQIKjTTDWfVKd/XqEoH6g4tg1nk5Nz1ZW3XDnG3SFhPQDJtChODgJubFuyXmQMxl+DC4PYlTSF0ZAKAsKZVIisvpJsEAIrw8lTEiIBPD9MobGZqC969L+ROajX2eV4Udocvws+cmOIwrweV2NAIBKeeDeaz53hr1i3uCtX7vp2bbNe4CszZGg4Zejfhp1Kxtq2ibnFsCLWG4SToJ6N0SojAFkecdYYEZ5dSxnjyHf0DdNrmzbpIaiI0pV0UFMiJABSThZDLmQIABcuPCUSck6Bw9eIpQEqVycghKzto+sHkuAoE0KOIEPWd0WkK9H5Pcu/lu+SIDxSCt2Vy7ua0x84j8WB8v3trccd8Qv2REFuBpuogm9ewd+tmDBeXTFSZWb9/a/1JZ3fNhUdOSq+CK5lEcAp5w0YfWpEPgGJZENZQFtAkBZ+XjLHn0dpZLU7FOPiQl0tS2yCTWmewqrTN3pE3ondSqiSYUaqINfIAnMgH4E1hMa5w5rpRCo+9KyK2stz8eldKJTFUYoKBeFU5S0GP3gTC02ta1B3iij8HwKz7dACIPPgLaZq/rOWHrO9UDhZ4S0HQ0o4tBJbVMct3/3ViS6Tnslk0r05enYGl4aTLm2CKz3GGRFU31RyLWFYa1aEoTEqoQGRL2X5vOMc8TIh1T+lKow22AyBI+J7nsCoST4+Q3lSPUZiHaMvq3e/ToOqeDXKlJN6xDHIHocQgNAtImsJkTtQlpbKwQGw6Ru2lbtJy+6P0Q2V88PEp4pyhUXhWICQwUHTmpOfzbfeV1l9PWfJXOnHi0YTi3YaqLj5q9dgOnOyD2rl3d+de3K2YWE7aNQAkqMBC8uUst4LDD1BaVu0et/6bXZOvXjTEhIvyPnCUCgW3GdhCLmvjpkMvyEH+JxZDuPvIfQXR9SAD34Smw0U9dCiTBSZgLC6AQZ+Nr5zZhxGokl15rUBmluNAzOgvgeHdtHJlVFYZSgUF1UqJAFX939duKefMdnjyYEjw5F0cfsGQnWmM3f90bO8saY//Py5q3JbXtySFILNg0inmtzJuuAW+9+ZtALGlounW7UTIaY9xhdxEVlvyDJmJjboL0+YL6nmp0xY6IOT2OBp2ncOhUwY1u0wkDKkKrzaPzboCY8LKEmWgJqKk1kickU3yYhj1LcXEiSXJt0EF2zrRK27vJhJRaWknbHn+0+2PKgTYqH5YafyDiqFhwAPvXpi7Fld8Ff/8qSBy8/L3PFtf+2rZRxy0gQDodGQKOBe7zuC/UsONWQVvPzDfN+LR83F6JA/DboD3mdCTOF6xSbia/Hp0T285jjY5OPoXFhHv43ylAE2UFa8c7oMdCtNrR48Nqa5KHLFfB9C55nY7DA8dyOpaWNb02/4pyPtz3Y2fKOf/4Fn5w6sCY4jhoH18ejDz+AzU/P453dG7Y+9dJJ20g1dX6p0O/4sg20XKAHnFtv7adkQ11KDAAdzdoBr6U5NI6nk8hjnafLfUa5CcW7Scw27b7k4JgKB4/misqJVS94jMoDgzkd+YUKXks8qqFi4hiNXUcomeLg+q9TyN+jW2GcR1QaFlsqnoXBQgJuelGxtW3W5z7zp2c/uGngNXbNFz/zbkDv6FMUNYhzHW74zi+4O7Tp/uXzF9oOYXc++8e9+eEKh21RJInogBbXdTgq94WLo3GoSM0XVktr9P/GtnFM8MSs81RsePwwqMd4nCagG2ETJ2XRlSczcPZI4HOuvJy6ckI0mqHWFbK6FFf7lfQnqIgvvy9Vv9CiHLblgRIflWoabnrOEE10fXnP1oH7d215Gl2LDz/GZKLjXbHgavz+sQdw9kX/Ds1tLZtndbTsbWxtWbNj98H0QKGMjEuRtGWbP63McdRqm5QltNBGZ+JxrHg9C25YZiCyP6KWEGGtaeQ+DSx19PhDW3BlrUFqJ2rNpKVa4aF6x6H2vprhsZQtzigQ7XWCEwLaEcFiVnViBgFsiyGVGEG+MYFE7rSDFT7v646b+u/tLcCCD7974AbeRQuuxvXXfB4AsHvvO/dc7Nr29PbcLT+67/k2OjaKpE2DhY4ikFGOXu8nGZHtNO4LQ7g4rLHkdS1/jMmchIE+HFseGO46lltYVbFPRGBzzWoT6aUkUM6WoL43kZY4UE+EJVbe4sCKc215GTmffNHg3MLBA3jMAiVV2G4jMm3n9GUbLvhmG6/eQ6zph3Elpj7edYCrMbOjHQeHRn/65cvPJQ2p7M3rHn2ibWR4CGXPgs8j32YdlIRGKb7dXHCMDtwYixj12hwKlGQCxxzpEepNMfvkYpdHJnwATkknQsdNuF9x6sAhpJ0Txjl5wJC4fj4emgLPJxgZJchmZ2BG0xl9NHPW9eD8p8RqeZevVjiOuooy3mjJZ+BQftdnL1x53dVf+NjA8QvbMFoRrS4oDW91wTTez3j05xq11jvcPoHBx304zlmmOBUmqpHXeaqpgmhPV/HYujauDmC6Lk4Cbh4815g9YVFOzkSn14ZUGR5tQXb6JwZSTWdeV/XpXcTKTe3zH6FxzCy4GtlsBpx793507Un9O3fvnpttmfPt3/z2RYcxCscS88+H9oVFFpeQ3LseqIEI/zQAHw4Sg/ooPTJOegxGQEn0kFiE+jXhkSAnaZmV7WcgIvFancv4H/bflGxEXl81GbgsgSfojCoSpJ7pexzTu1ZVx2zrL9o6T9xR9hoezaeOqf0E8B4AOAAQYrMNG3se+ZNPXuhueGVbMZVw7vjt0xuJVxmjlkXAPYKKJ7xrDuW1iyXEqCQ1YI92azCfZzwn2EbMSUGOKb4BmHHdhrhCopw8/Hw8uAIhF1cJyIFyIv/r8yeoVitfiBIOy+LgnMPzHVQ9CkIYUskka5+5gieyi//98u7Fd5eKeyv57KJjfKXkez7Wb0CNkz+8AD1vvF2Z2Tnt3kULZi85+YQFfz1vznRkkwycAv0VgpJH4Cs3fx0VBKgPdNMTWV8O5No9Q0GY0pgEt5jkKWOpQ80rkoCjGAWC6lAYRVuijWTBAUI5XKeKTKoEz/fR12/DTnQi17z4r/PN3Usacu33VktvVRpb3xvgBt4jFlyNM1YuAoCx793xQE+mad4t82blXOo3/dX0xpes7z/MsG1nE1K2JiPSGLd9lIfD5N5RoId05HBtc7zUMVF3fM2YKnWP6OaGdQ/JTKBp61Y8upQVTavEW2GEghIfSbeKTTtHcc/6HC5cs9gnidab5p9g3/LmloN+S+dZh3kNj/x4TwFcjWuuugT/876H/Msvu/yGwnC/7Zbdax/5w6bEzl4CAh8uJbDtiK5QIwfWLjj1Y6Iu+eg5pjKmDGaY7/1IvAGuZ9RAqR/6oUo+1CdAyOkVf2eydDIH4HiyVJvVinmL15bP+8S5321va7rh2acewWlrLj6cd37UxrGmlOMOr1KA5RwEeOrmJ5/vXf3tv19PbV5cPTLUbydcC4wRUZEXkHXBa3VwSkigxMSGoKr7VHPAQD9PGAprUiLN0SNfQ7yWcvUTLRxXFcFBsN9SoQE0DBUw/3Pzc2h1z2v2yxJ2gJaMLWPmw89oNg8Lym4E5e/M7tUWlb1zfAvVKkBJFS0tOa8pj+eyHZ9kFbroubFS5frWxixamxuONVTqjvc0wPXxk7sfhuPY2ZGRkZ/09vZe2n/wHXpgcAz7B0ULwaTDA9AA0IBATK+h/NQGiEGEm5nEeU1DwBrP0SaEfsxUAW48rgGz+ZjUTAC9qBHXPLx6iIMWH07URODy9Xi4H4BlcSRdD4T4eGu/A4/l0TGjnc3o6PxfqXTmi57nFeYff/QDpY7EeN8AHAC29uxEKpls3b1n39W9OzYev3Nf30V3/Z/XkU8kMK1RAEi1fqayOrNFTde4/skDEANA5DixjxgWVA+bjSY+BOClRIJ1khZcB7cEpxlMFslHNUpG1wJcZT3pi2mihSyq1xClrwXYVdsSSjmac6Nw7IPY0bcCFX/OQ6evXra5pXXaD8qV8oHW9tnHGgoTHu8rgKvBWS9Act2PPb3x9nVPbr+o5196kCQFUMvG0Cjg+Ry2LXrI2hYxLDsQ0dPVfxoTn2IAGkYsyngAD385JklRNHpSS7l06qHTjAiwoxQF4WePhkBYlMOxGVyHwbYYfJ+ib9CG7/uYM9PB3AWdKNElD/Ue/MjXk05/7+oVncf6q5/0eF8CHABe27EfjmPP29bzxnKbla/et2fHmmrxVfx0XQF+2UEuDaRcIOEQ2Jb4mIzxMGZZXYCAx8YFYJm0xAR4aOEDGiRBLcBKUMvJxwe4pQFc325QjxirXQPwyHPU4IBs9Coe2xZH0mVIJT1k02UMjhbxzy924czVS/ChZcc91dhEf5Brnr0J8LYTMutYf+VTGu9JFWUiY+ncaQCwnXO+HcDmF1/AjNmzOn+8s7Bz3mNPbLY8vwJKKFybwLGFLlCpAr7HA4Drlm2yM12P1VCl0shh6SgxI5A5TWV7Iq+iPyegJlwAvFyl4BxwbQ7b8gH4SCaArmkn+atTK7c35fifd809dR+AnsOXT4/teN8CXA35BfRwvqen6rGPrTkl13nOaSc/sO7Xv8/17d+TIWwM2QYbvs/xzkAVFY8HlELpjCpyTg/yD6IIje9Xj6ITj7mREzZxnVE7RSRmIKRN0fBZ7ZDwJAgdNTULac3SU8mzfUYwVBCBUQ1pH5lMFvmW9tGuxacPM1685PjG+Xs4sXvf78BW430PcDUI6QRjrPe8tTPfGhgsLE3YWEUI+4c339jujQ72Nu9+e0/21TcqsGEjk+RwbBqAW6+kKs6FmlAANXgoGKstQUmGcIdZNCgOK1ybK8bnULcIQNV59FOZ7nj5V1uA6pSGgiGT8tCcH0DPrgZY7pzCCYvn9s+bd5ztOLiyofG45x03O9QCzgh5zzi4D3t8cD4JAEopCCGsMDIyMGd2x/qmxtyCG2/733Mvv+ySm05Zuey1tultG9ta86VcNg3GGBhjgl4wLlqrQ1lOs5UgoC/Qwn6VTP+PSDY79EVsGFWuF64PaI6OcjW5aIxyYr6b4LmMiZty2ogYNS6ryzL4PoPlpGE7+VJzS37jkuUfeu288//kprd3Pjw3mcotyOY61xeLowOEkA8UuNXl/ECP4tAuOLZDnnj619j1dtZqa8reURgZW9Cz/c3T3+h92yKsjNGyj8HhMvIZG9m0BccRgGRcAF9ZekUZFEgJ5OJRqjW2RUUbaqt2oakWpeqq604dS0malrjZFpc3BVYxiRSulQYOAL4vFo2EAI7DkUmKWJGxShJVL4HGnI1kZobf0tb9jGWnesAGrup5a8hfuOgC+H6VL1vy/lw8TnR8YChKvZHOdwGhyfMGBwa/mEolmnbvPfB3//TAY+5I/x5/qOKscBv8E61KPwhKsC0KSi2UKxy+L55oUQJiCeB7jMNT28HhENEdIRhcWW0SOH8UBeLgsuSZQCihEZoiJ45FJNCpiB7xfAKPKVWHwLY4GOcoV4BShaBa9ZB0OfLZBLq7shgcoX94a1/y5c5Z7VbX/I9VEqm2v/S98kBD9tjGZ7/b4wNvwQ81fnD3OnBgjUtxTs6pXAJWWsj8Mnbu3IF974zh7YOjKJc9NKQomnIuLNvGaNFHsewLJcIhSLoUCYfAsam03iSw5LZNAmcTY4DPeGBxLQrYNhHJ1rLfrW0JdSPpcqQSPlxXcPzRMQsjRQoOH9lkBQ1pDxwORsspHBhKYPacuchnk2hpSm6b2+U90JgvP8YZnqK5Pz3Wl/iYjg+8BT/UuPrz5wHAU/39A08BeNr3vbnDw4NseKiP5Zs65pyYa/7mK6/tQkvOgssHkLIP4Pl/8bBtD0FTxkJLlsCxAUJooD+rQYhomOrKCMiqB1SqHFWPCT3cNs237ws1xyIiPSHh+GjMlpF0itjam8QrPS6WzG3BrNldyKaKsJJz0Nc3eMvA6OAbJ6xYRZubm6hj2zsArCcNjcf60r4nxr96gKvR3NwEAOvV49HCQaRTbuOW7fueG63YyKVQXTRn+Tfam4tnzzmeY8tugmee/QMoGUYmbSGbtpFK2hgbK2NktATHEf0iKSFoSAENaYaRIrD3HQ+jYwyZlIVcgw2Lir42tgWAOGBwAQrYNkM6XcaMaS5mdK1BanoKdpuLjmb78WnNxe8n3aLjZpehY27XU8tXlgZndhy7vMf38vj/AK8zMtkWABgE8EsAGOzfD86xNZMem+bmCWvvYnh1Uw9oqYiE6yCRsOHYfnXm4hU3loqFC1ybValF4dhAax5ob6qiMObDSwAjowQteQsteQe2JcJam/OWk82mf7X+yc03NqRdh1oMtu0hlU4h3/ohdCVTcPM2bW6w9nOON2bN7DjWl+h9Mf7Vc/AjOR5e9wwAMm1kaH/esXxOLQqLAm2NHO3NVYyMeXh+M8VIkaK9kaI578CiBABDa5NNume1DjHO93fMPv1Yf5QPzPh/dHpxC/aYh1MAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTg6Mjc6MDArMDA6MDA+XLU6AAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE4OjI3OjAwKzAwOjAwTwENhgAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 194384000
{'hecke_orbit_code': 31526022058870528, 'n': 1, 'trace_an': 16}
-
id: 194384001
{'hecke_orbit_code': 31526022058870528, 'n': 2, 'trace_an': 0}
-
id: 194384002
{'hecke_orbit_code': 31526022058870528, 'n': 3, 'trace_an': 4}
-
id: 194384003
{'hecke_orbit_code': 31526022058870528, 'n': 4, 'trace_an': 0}
-
id: 194384004
{'hecke_orbit_code': 31526022058870528, 'n': 5, 'trace_an': 4}
-
id: 194384005
{'hecke_orbit_code': 31526022058870528, 'n': 6, 'trace_an': 0}
-
id: 194384006
{'hecke_orbit_code': 31526022058870528, 'n': 7, 'trace_an': 0}
-
id: 194384007
{'hecke_orbit_code': 31526022058870528, 'n': 8, 'trace_an': 0}
-
id: 194384008
{'hecke_orbit_code': 31526022058870528, 'n': 9, 'trace_an': 0}
-
id: 194384009
{'hecke_orbit_code': 31526022058870528, 'n': 10, 'trace_an': 0}
-
id: 194384010
{'hecke_orbit_code': 31526022058870528, 'n': 11, 'trace_an': -8}
-
id: 194384011
{'hecke_orbit_code': 31526022058870528, 'n': 12, 'trace_an': 0}
-
id: 194384012
{'hecke_orbit_code': 31526022058870528, 'n': 13, 'trace_an': -12}
-
id: 194384013
{'hecke_orbit_code': 31526022058870528, 'n': 14, 'trace_an': 0}
-
id: 194384014
{'hecke_orbit_code': 31526022058870528, 'n': 15, 'trace_an': 0}
-
id: 194384015
{'hecke_orbit_code': 31526022058870528, 'n': 16, 'trace_an': 0}
-
id: 194384016
{'hecke_orbit_code': 31526022058870528, 'n': 17, 'trace_an': -8}
-
id: 194384017
{'hecke_orbit_code': 31526022058870528, 'n': 18, 'trace_an': 0}
-
id: 194384018
{'hecke_orbit_code': 31526022058870528, 'n': 19, 'trace_an': 4}
-
id: 194384019
{'hecke_orbit_code': 31526022058870528, 'n': 20, 'trace_an': 0}
-
id: 194384020
{'hecke_orbit_code': 31526022058870528, 'n': 21, 'trace_an': 4}
-
id: 194384021
{'hecke_orbit_code': 31526022058870528, 'n': 22, 'trace_an': 0}
-
id: 194384022
{'hecke_orbit_code': 31526022058870528, 'n': 23, 'trace_an': 0}
-
id: 194384023
{'hecke_orbit_code': 31526022058870528, 'n': 24, 'trace_an': 0}
-
id: 194384024
{'hecke_orbit_code': 31526022058870528, 'n': 25, 'trace_an': 0}
-
id: 194384025
{'hecke_orbit_code': 31526022058870528, 'n': 26, 'trace_an': 0}
-
id: 194384026
{'hecke_orbit_code': 31526022058870528, 'n': 27, 'trace_an': -56}
-
id: 194384027
{'hecke_orbit_code': 31526022058870528, 'n': 28, 'trace_an': 0}
-
id: 194384028
{'hecke_orbit_code': 31526022058870528, 'n': 29, 'trace_an': 0}
-
id: 194384029
{'hecke_orbit_code': 31526022058870528, 'n': 30, 'trace_an': 0}
-
id: 194384030
{'hecke_orbit_code': 31526022058870528, 'n': 31, 'trace_an': -8}
-
id: 194384031
{'hecke_orbit_code': 31526022058870528, 'n': 32, 'trace_an': 0}
-
id: 194384032
{'hecke_orbit_code': 31526022058870528, 'n': 33, 'trace_an': 16}
-
id: 194384033
{'hecke_orbit_code': 31526022058870528, 'n': 34, 'trace_an': 0}
-
id: 194384034
{'hecke_orbit_code': 31526022058870528, 'n': 35, 'trace_an': -4}
-
id: 194384035
{'hecke_orbit_code': 31526022058870528, 'n': 36, 'trace_an': 0}
-
id: 194384036
{'hecke_orbit_code': 31526022058870528, 'n': 37, 'trace_an': 8}
-
id: 194384037
{'hecke_orbit_code': 31526022058870528, 'n': 38, 'trace_an': 0}
-
id: 194384038
{'hecke_orbit_code': 31526022058870528, 'n': 39, 'trace_an': 0}
-
id: 194384039
{'hecke_orbit_code': 31526022058870528, 'n': 40, 'trace_an': 0}
-
id: 194384040
{'hecke_orbit_code': 31526022058870528, 'n': 41, 'trace_an': 0}
-
id: 194384041
{'hecke_orbit_code': 31526022058870528, 'n': 42, 'trace_an': 0}
-
id: 194384042
{'hecke_orbit_code': 31526022058870528, 'n': 43, 'trace_an': -24}
-
id: 194384043
{'hecke_orbit_code': 31526022058870528, 'n': 44, 'trace_an': 0}
-
id: 194384044
{'hecke_orbit_code': 31526022058870528, 'n': 45, 'trace_an': 36}
-
id: 194384045
{'hecke_orbit_code': 31526022058870528, 'n': 46, 'trace_an': 0}
-
id: 194384046
{'hecke_orbit_code': 31526022058870528, 'n': 47, 'trace_an': -40}
-
id: 194384047
{'hecke_orbit_code': 31526022058870528, 'n': 48, 'trace_an': 0}
-
id: 194384048
{'hecke_orbit_code': 31526022058870528, 'n': 49, 'trace_an': -16}
-
id: 194384049
{'hecke_orbit_code': 31526022058870528, 'n': 50, 'trace_an': 0}
-
id: 194384050
{'hecke_orbit_code': 31526022058870528, 'n': 51, 'trace_an': 24}
-
id: 194384051
{'hecke_orbit_code': 31526022058870528, 'n': 52, 'trace_an': 0}
-
id: 194384052
{'hecke_orbit_code': 31526022058870528, 'n': 53, 'trace_an': 32}
-
id: 194384053
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