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mf_newforms • Show schema
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{'Nk2': 2704, 'analytic_conductor': 5.397887176638554, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 52, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': 1, 'char_values': [676, 12, [339, 509], [6, 5]], 'cm_discs': [], 'conrey_index': 19, 'dim': 16, 'field_disc': 102930383934669717504, 'field_disc_factorization': [[2, 20], [3, 8], [13, 2], [97, 4]], 'field_poly': [256, -512, 320, -64, 80, -64, -48, 64, -36, 32, -12, -8, 5, -2, 5, -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, [2704, 0, -5824, 0, 9164, 0, -5824, 0, 2605, 0, -686, 0, 131, 0, -14, 0, 1]], [5, [4, -24, 72, 0, 5, -18, 18, -6, 1]], [7, [43264, 0, -204672, 0, 303408, 0, 91512, 0, -1399, 0, -2790, 0, 207, 0, 30, 0, 1]], [17, [1, -30, 290, 300, 39, -60, 2, 6, 1]], [37, [1, 4, 5, 2, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029552966763172, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 13, 6, -1, 12, 0], [1, 1, 52, 12, 1, 12, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '676.2.l.i', 'level': 676, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 13], 'level_radical': 26, 'minimal_twist': '52.2.l.b', 'nf_label': '16.0.102930383934669717504.1', 'prim_orbit_index': 12, 'qexp_display': 'q+\\beta _{9}q^{2}+(-\\beta _{1}+\\beta _{3}+\\beta _{6}+\\beta _{9}+\\beta _{12}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '676.2.l', 'trace_display': [-4, 0, 12, 0], 'trace_hash': 185128318515232443, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.035', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.181', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.934', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1592.672', 'prec': 27}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '267260.484', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.549', 'prec': 17}, 'traces': [16, -4, 0, 6, 12, -10, 0, -10, 4, 0, 0, 0, 0, 8, 0, -2, -12, 6, 0, -20, 28, 0, 0, 14, 0, 0, 0, -24, -8, -42, 0, 26, 8, -14, 0, 6, -8, 0, 0, -40, 24, -28, 0, 8, 40, 10, 0, -10, -60, -22, 0, 0, -32, 28, 0, 60, -12, -18, 0, 24, 4, 18, 0, 0, 0, 56, 0, 16, 12, -28, 0, 10, -20, 4, 0, 14, 0, 0, 0, 22, 48, 0, 0, 36, -32, -16, 0, -36, -8, 0, 0, -12, 20, -38, 0, 72, -80, 68, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2704, 'analytic_conductor': 5.397887176638554, 'char_conductor': 52, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': 1, 'char_values': [676, 12, [339, 509], [6, 5]], 'conrey_index': 19, 'cusp_dim': 308, 'dim': 268, 'eis_dim': 112, 'eis_new_dim': 80, 'hecke_cutter_primes': [3, 5, 7, 17, 37], 'hecke_orbit_code': 755947799204, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 16, 16, 16, 16, 16, 16, 144], 'label': '676.2.l', 'level': 676, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 13], 'level_radical': 26, 'mf_dim': 420, 'mf_new_dim': 348, 'num_forms': 14, 'prim_orbit_index': 12, 'relative_dim': 67, 'sturm_bound': 182, 'trace_bound': 10, 'trace_display': [4, 0, 6, 0], 'traces': [268, 4, 0, 6, 6, 14, 0, -2, 98, 6, 0, 0, 0, -56, 0, -14, 12, -6, 0, -14, 28, 8, 0, -10, 0, 0, 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mf_twists_cc • Show schema
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id: 46698235
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 427, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029552966763172, 'target_is_minimal': False, 'target_label': '676.2.l.i.427.4', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46698236
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 427, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029552966763172, 'target_is_minimal': False, 'target_label': '676.2.l.i.427.2', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
-
id: 46698237
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 239, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 36029140649902756, 'target_is_minimal': False, 'target_label': '676.2.f.i.239.8', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 2}
-
id: 46698238
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 99, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36029140649902756, 'target_is_minimal': False, 'target_label': '676.2.f.i.99.3', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46698239
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 7, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504355575169076, 'target_is_minimal': True, 'target_label': '52.2.l.b.7.4', 'target_level': 52, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46698240
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 587, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036752221504164, 'target_is_minimal': False, 'target_label': '676.2.l.k.587.2', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46698241
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 19, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029552966763172, 'target_is_minimal': False, 'target_label': '676.2.l.i.19.2', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '13.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 46698242
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 19, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043951476245156, 'target_is_minimal': False, 'target_label': '676.2.l.m.19.3', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '13.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46698243
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 15, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504355575169076, 'target_is_minimal': True, 'target_label': '52.2.l.b.15.3', 'target_level': 52, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46698244
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 319, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036752221504164, 'target_is_minimal': False, 'target_label': '676.2.l.k.319.1', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 46698245
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 99, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 31525541022532260, 'target_is_minimal': False, 'target_label': '676.2.f.h.99.6', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 46698246
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 239, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525541022532260, 'target_is_minimal': False, 'target_label': '676.2.f.h.239.1', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46698247
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 427, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043951476245156, 'target_is_minimal': False, 'target_label': '676.2.l.m.427.1', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 46698248
{'conductor': 39, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 379, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22521640302674388, 'target_is_minimal': False, 'target_label': '468.2.cb.f.379.2', 'target_level': 468, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '39.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46698249
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 163, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22521640302674388, 'target_is_minimal': False, 'target_label': '468.2.cb.f.163.1', 'target_level': 468, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '39.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 46698250
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 99, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 36029140649902756, 'target_is_minimal': False, 'target_label': '676.2.f.i.99.8', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '52.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46698251
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 19, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043951476245156, 'target_is_minimal': False, 'target_label': '676.2.l.m.19.1', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '52.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46698252
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 239, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 31525541022532260, 'target_is_minimal': False, 'target_label': '676.2.f.h.239.6', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '52.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46698253
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 239, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36029140649902756, 'target_is_minimal': False, 'target_label': '676.2.f.i.239.3', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '52.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 46698254
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 19, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029552966763172, 'target_is_minimal': False, 'target_label': '676.2.l.i.19.4', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '52.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46698255
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 99, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525541022532260, 'target_is_minimal': False, 'target_label': '676.2.f.h.99.1', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '52.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46698256
{'conductor': 52, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 587, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036752221504164, 'target_is_minimal': False, 'target_label': '676.2.l.k.587.1', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '52.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 46698257
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 319, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036752221504164, 'target_is_minimal': False, 'target_label': '676.2.l.k.319.2', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '52.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 46698258
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 7, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504355575169076, 'target_is_minimal': True, 'target_label': '52.2.l.b.7.3', 'target_level': 52, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '52.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 46698259
{'conductor': 52, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 15, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504355575169076, 'target_is_minimal': True, 'target_label': '52.2.l.b.15.4', 'target_level': 52, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '52.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 46698260
{'conductor': 52, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 427, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043951476245156, 'target_is_minimal': False, 'target_label': '676.2.l.m.427.3', 'target_level': 676, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '52.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 46698261
{'conductor': 104, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 639, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58549956285301568, 'target_is_minimal': False, 'target_label': '832.2.bu.n.639.2', 'target_level': 832, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '104.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 46698262
{'conductor': 104, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 319, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58549956285301568, 'target_is_minimal': False, 'target_label': '832.2.bu.n.319.2', 'target_level': 832, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '104.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 46698263
{'conductor': 104, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 319, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58549956285301568, 'target_is_minimal': False, 'target_label': '832.2.bu.n.319.3', 'target_level': 832, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '104.69', 'twisting_conrey_index': 69, 'weight': 2}
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id: 46698264
{'conductor': 104, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 639, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58549956285301568, 'target_is_minimal': False, 'target_label': '832.2.bu.n.639.3', 'target_level': 832, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '104.99', 'twisting_conrey_index': 99, 'weight': 2}
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id: 46698265
{'conductor': 156, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 379, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22521640302674388, 'target_is_minimal': False, 'target_label': '468.2.cb.f.379.1', 'target_level': 468, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '156.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 46698266
{'conductor': 156, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 427, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 36029552966763172, 'source_is_minimal': False, 'source_label': '676.2.l.i.427.4', 'source_level': 676, 'target_conrey_index': 163, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22521640302674388, 'target_is_minimal': False, 'target_label': '468.2.cb.f.163.2', 'target_level': 468, 'twist_class_label': '52.2.l.b.7.3', 'twist_class_level': 52, 'twisting_char_label': '156.95', 'twisting_conrey_index': 95, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1199025
{'charpoly_factorization': [[[256, 512, 320, 64, 80, 64, -48, -64, -36, -32, -12, 8, 5, 2, 5, 4, 1], 1]], 'hecke_orbit_code': 36029552966763172, 'p': 2}
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id: 1199026
{'charpoly_factorization': [[[2704, 0, -5824, 0, 9164, 0, -5824, 0, 2605, 0, -686, 0, 131, 0, -14, 0, 1], 1]], 'hecke_orbit_code': 36029552966763172, 'p': 3}
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id: 1199027
{'charpoly_factorization': [[[4, -24, 72, 0, 5, -18, 18, -6, 1], 2]], 'hecke_orbit_code': 36029552966763172, 'p': 5}
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id: 1199028
{'charpoly_factorization': [[[43264, 0, -204672, 0, 303408, 0, 91512, 0, -1399, 0, -2790, 0, 207, 0, 30, 0, 1], 1]], 'hecke_orbit_code': 36029552966763172, 'p': 7}
-
id: 1199029
{'charpoly_factorization': [[[692224, 0, 159744, 0, -124992, 0, -31680, 0, 25241, 0, 2970, 0, -57, 0, -18, 0, 1], 1]], 'hecke_orbit_code': 36029552966763172, 'p': 11}
-
id: 1199030
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 36029552966763172, 'p': 13}
-
id: 1199031
{'charpoly_factorization': [[[1, -30, 290, 300, 39, -60, 2, 6, 1], 2]], 'hecke_orbit_code': 36029552966763172, 'p': 17}
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id: 1199032
{'charpoly_factorization': [[[77228944, 0, -34378656, 0, 4389420, 0, 316872, 0, -72643, 0, -4374, 0, 891, 0, 54, 0, 1], 1]], 'hecke_orbit_code': 36029552966763172, 'p': 19}
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id: 1199033
{'charpoly_factorization': [[[77228944, 0, 91395200, 0, 87130316, 0, 23024144, 0, 4615261, 0, 232858, 0, 8843, 0, 106, 0, 1], 1]], 'hecke_orbit_code': 36029552966763172, 'p': 23}
-
id: 1199034
{'charpoly_factorization': [[[51529, 55388, 49094, 13040, 3319, 304, 62, 4, 1], 2]], 'hecke_orbit_code': 36029552966763172, 'p': 29}
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id: 1199035
{'charpoly_factorization': [[[1235663104, 0, 0, 0, 9894433536, 0, 0, 0, 18310880, 0, 0, 0, 9072, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 36029552966763172, 'p': 31}
-
id: 1199036
{'charpoly_factorization': [[[1, 4, 5, 2, 1], 4]], 'hecke_orbit_code': 36029552966763172, 'p': 37}
-
id: 1199037
{'charpoly_factorization': [[[81, -108, 45, -6, 1], 4]], 'hecke_orbit_code': 36029552966763172, 'p': 41}
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id: 1199038
{'charpoly_factorization': [[[5671027857664, 0, 1531577976448, 0, 359783787440, 0, 13276514728, 0, 337890073, 0, 4728770, 0, 48143, 0, 266, 0, 1], 1]], 'hecke_orbit_code': 36029552966763172, 'p': 43}
-
id: 1199039
{'charpoly_factorization': [[[5671027857664, 0, 0, 0, 39057328896, 0, 0, 0, 70290656, 0, 0, 0, 20976, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 36029552966763172, 'p': 47}
-
id: 1199040
{'charpoly_factorization': [[[-128, -112, -3, 8, 1], 4]], 'hecke_orbit_code': 36029552966763172, 'p': 53}
-
id: 1199041
{'charpoly_factorization': [[[171720267307264, 0, 206627151744, 0, -106493647056, 0, -128241144, 0, 53073017, 0, -48798, 0, -8121, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 36029552966763172, 'p': 59}
-
id: 1199042
{'charpoly_factorization': [[[6889, -13114, 20150, -9496, 3763, -200, 62, -2, 1], 2]], 'hecke_orbit_code': 36029552966763172, 'p': 61}
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id: 1199043
{'charpoly_factorization': [[[2205735869584, 0, -548171044512, 0, 39908056812, 0, 1367500680, 0, -3260179, 0, -466830, 0, 1587, 0, 126, 0, 1], 1]], 'hecke_orbit_code': 36029552966763172, 'p': 67}
-
id: 1199044
{'charpoly_factorization': [[[5067731344, 0, -876466656, 0, -336235956, 0, 66891096, 0, 28929197, 0, -684558, 0, -141, 0, 126, 0, 1], 1]], 'hecke_orbit_code': 36029552966763172, 'p': 71}
-
id: 1199045
{'charpoly_factorization': [[[676, 15496, 177608, 35424, 3533, 6, 50, 10, 1], 2]], 'hecke_orbit_code': 36029552966763172, 'p': 73}
-
id: 1199046
{'charpoly_factorization': [[[53248, 0, 51200, 0, 7040, 0, 160, 0, 1], 2]], 'hecke_orbit_code': 36029552966763172, 'p': 79}
-
id: 1199047
{'charpoly_factorization': [[[538409280507904, 0, 0, 0, 3819952817664, 0, 0, 0, 891937424, 0, 0, 0, 61704, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 36029552966763172, 'p': 83}
-
id: 1199048
{'charpoly_factorization': [[[2896804, -507196, 622214, 82898, -16913, -1502, 131, 4, 1], 2]], 'hecke_orbit_code': 36029552966763172, 'p': 89}
-
id: 1199049
{'charpoly_factorization': [[[2116, 4324, 14102, 11922, 9335, 3462, 575, 40, 1], 2]], 'hecke_orbit_code': 36029552966763172, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 9, 'label': '676.2.l.i', 'level': 676, 'portrait': 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Ba7kuHYw9cCYQ3rpw3rphKWugHdoWAUeywPBJumDIsdw/Fziprns2kWtq0P2Tg3YsPcmE1zY7ZttGzfpLjyIo+6anLkeJv7n/Z5dH/Mk8ciEtXjTbd1eNtLLHU1x/5j0xw5rTl1PuFsCu6DC5abrp7nZ9+9zEXrpjh9fprzyzUWO5rlrqTTS+gODIMxHDi6wP4TK1c+fmD+ZQdPnt955NT8F275treH937xT59vSPyVbn+rGXx5ucMgtHiKX/z6Y4df8u9+85Pyu1584CX/4m0n9cLyRhY7bRY7dZY6PktdzWIHljoJS52IxU7C2WU4tChYv36F//S9i7zo0gYnzs1y+nyT0wuac4uWswsxJ+cTzvdipmdHvPTaPi++AnxZJ1AB55ZqnFnQnF0SDMYQx4aab2jWEmamYgxw7GxMtw87Nno062OsFSB8+kPD9k1jFlc0WCdFVvowjsFiWeqEbN3g0RsqhLIIM6Zd89i+ecTKQHDstCYxmrm2pFUTBB7EsWAwlpxdkpxZtJxbjgmCEXgxt1zV5yVXC9a36ywutzlxLuD0ApxbiDm3FHNqCQ4tWl541QI//73LbJpuc/zsLGcX68wv+yysSJY6CcvdiOVewkrPstCDk13B4lKfX/tX4/hdr25+vb7+B4zfuvLrUpifToxHUGs/31C54O1vLYN/5GN/zotuuoGf/Il/8wsf/eSd/+oDf/LlS/Yc7+w8cKovb7umy+4thtg44GAlFuEeIxEIhLBoYQkknF6q8cABxbW7l7jiohGNGnha4nsK39c065KGJxn0PfYdrfGlR32OnR/TjSP2nRizcW6JN790mWsv6fHCKzocXYhZGAgawYjDpy2dbpNrLpasjBL2HFW0GppnjsGlWyyjMGGU+GgdMdOCvScClE7wZIz2YDiWvOiKAcOB5NpLErrDhGOnW+zapGg2QlbGlg3TA5b7XT52Jzx+JOHJIyN2bFnkusu7zMyGvPGWHt/1csvuTS2SaJojp6Y4dNLjxFnDyfMRJ88nHDovOL4S8YLL5vlP39tj4/Q0J87Ocm6xzvyKz2JHstxN6PQiVvoJKwPLUh/O9hWL3Zibrpznn7x5Xta03Xn+7PFdg0F8c9DcVW80Z758711/yQc++OHnGzJr3v5WMviHP/LnbN68WR09euQ/HDtx5mceevyoOrkQsjjUnBwYrtl+jl/70Xmu393g7OIMS50GS50aSx2Ppa5muQfLnYTlbsxSL2ahAyeWBbo+4tarl3jXy0N2bWiy0m9zfqnO/JLPQkew1HESYbln6A4N3bFlMIqZa0ds32gAQeBZTp73EDJgxwbFri2WLRsGnFse88SBFjdeamnUl3n64CytZkgYeszNGIYjuHL7iA/fOc3lF8WMx5Z1U5IoGdKqBTxzdETda3L9ZTFPHg45t+izdS5g12bYvilEqYiTC+B7FiEsOzbGzLQkvWFAf+DRHXgsdRVLK7DYMSx1EhY6CWc7sDhK2L61z7tescCtV2hqXpszC20WlmssrGgWu4KVjmGllzJ3PwV3T3F2JeZFl5/lvT+6yCVbWiyutFnq1FjpT0NwSVJrbPqFLVu3/fziwvnkpa/4e883dFbd/lYBfP++/dTrtfqpUye3P/LYM+88duL0fzl0+CTDSNIdWJYHgrMDxeluzI0Xn+NXf3SR6y6uc355hsXlBsu9Gktdj+WuZrkLnZ5hpRez3ItZ6lrOdQSn+xZEn7fd1uGNLzJcvLlGGDZY7tRY6ft0eorlvqA3EIzGljC2JAkoaQk8qAeW6bZlw2yE9kYcOhPy1MEAEzd5/c0h2lvhkT1T7NwMn38w5rZrAs53htS0Ik4iZmcgjjy0F7O42OClN3T5/H0tdm2Ghw+M8WjwuhcZYjHkqUMJR07W0NJn44xmpimoBwLfFygBsYEwsoxC6A0sK31Db2BYGRgW+5ZhkrBj24A3vrjD214SgmmxuDLF+aU6ixkZdGCll9Dpx6yk4F4ewOmuYr6b8MLLzvHLP3qeq3bUOb80w3KvwUovYKXrs9wVNKe20Gpv/Pcbt1zxp9u2bT0+Go2Gl152+fMNpfz2twbgJ44dYP2Gdf6B/Ye+f9/+g+976OHHxeJKX4ahZTAy9IaG7hCWh4JzA8WZXsSLLjnPe39okRsuqbGwMs3CSpOVbsBKz2e5p1npCTo9S6efsNKL6fQNy33L+Z7gTMcwMz3g217Y45YrYnZsVLTrHt1ejcCTgCKMJcYIjIXBCBCGmdaIA6csxobc8XCT8aDOJVt9br12QGRWuPvRaa6/1OPA2T6d5TYvvnbAlx8J2Dhr2XPM8v+8tcueowEbZyVfelRx65WKpUGXwydmuf6ykLufGhKPG9xylc/ui0YM4z5ffERBIjh0UtNuaLSAwdAF1YmxRDEgDdo3dPqWZivios1jXnLlgG+7MWauWePc0hSLK3WWu27fLHcFnT50ejGdfkynn9AZWJYGkrM9wUIv5ubL5/kvPzTPdbtqLCxPs9xr0OkHdPse3b6mP1IMhhDbmtl1yTV2567d79l18SW/v7gwH155xd8OkP+tAHgYRTIcD9/80H23XzIex7/84EOPeIMRjEMYjGOGo4T+0NAfWXoj6KQgP92JueXK8/ziD81z426fle4U88stOv0aKz2flb6m01N0BtDrW7qDmG7f/a3OwDLfF8z3IUrGXHfpkE2zCf2B5Q0vHrNzkyFOJFpawgjueqLG8fM1Ns/EPH2oBqbBFdsUN1xuCGoDHjkwYH6hydU7m7Snl7nvSY+bLq2xOFhhebnNpk2WB/co/sGr+jy0R7Ntg8dCv8Py0iw3XDngvqcTZuvTXH1Jn/OdDg8+O01dN3nh5ZbLto9A9nniiGDDbMS5+Yi7n/AYRQopITGWnZtDvu3FIb2+YsuM4YZLIQwbqXwLWOl7dAeKTl/S7UN3kNDtJ/QGzjFZGViWhpJTXUFnOObWy+b5zz+4zI2XBpxbmmal16DbD+gOPHoDTX+o6I8kgxH0Bgm9Qcz1178wkkr/27d/55sPNhr1z2jtmecbW897JnM0HBCFw+89uO+xXzt98uDsyvIijZoE4QJFiwKb/rIwCGERWIRIkFLz0P6N/PQHNG+9dYnvftUSu7aGnF1sE/h16oFPI/Bo1jW9uqQ19JhqagajhP4wYePYMBxbeqOApfkaJ09Ywthw6mxMEFhA4CuLloLBUCHwiAeaF+wU7N5i2b51wDjpcftDir0HZ3jtjQE3XLnMH9xu8UWDnVsHPHmfYuu0Yl17QE3VCSOP8z1o1jTbNgoe3xtyw2V1Xn79Ah/67BDfa/Gamy1eMOArD4Z8/oEmzx6pc/GWBjs3J6yfCdm1LuKanQlKGbSygKURBKyfDggjj97A5+kDnitPSIHYH0J/ZOkP3HfvDRP6Q0t3aFkZwvxAcW7Z0pjq8OOvn+fv3Trm2l0Nziy06fTrdPsBvaFHf5iBWzAYwWDsCCBO4Gv3PeStWzf3a1vv37x064tv+pf9/uBDzWbj/1yAR+M+CH7w+KH7f3H/03fNDntdPK2p+QoHL0Fm9GQlERLrNmnRMiGQkqcOrOex/U0OnD7PW1/S5yVXjZhutVnqNGh2a7SHPv2Bppce7OFIMxhrRmPLKDSEkSWKLHHitjD2sQakEnhaUPMF0y3BTAs2rTNs2zhg3UyHLzwC9zzmIc0Ur73R4wVX9Lj32Yhw1ObWFwg6wyHnF5vccplh3fSAug4YxYr5boQyghdcpmm0xjy6r8bLbpjixdf1eHSfAjvFjVf5/MCblvjy4yFfeqjJnuM1tq9XbJqtM9NqMNWCegCetigJxsKeI4IkEUSxIIxhHOG+4zhhODaMxobByDAYG/pD6I5hvi8534OxGfHq65d480s6/P3XGOK4zdnFJt1+jd7Ad+AeKfpDxSBl7sHYMhobRmFCGBuiyHDk2Bk+9me3z3Z68f/77a97me72Bh9ot54/kD9vAI/CRaRMfuD8ibt/8fyxOzfU9ADR9gkjixAmZXDpYC4UQgiEACmN2xRoZdHKUPMEC4M6H71zG195rMtt16zw7levcM2uPnPTDRZXGvSGAYOhlwJbuS0UjCNJFAvi2F3qbXq1UNKiNdR8aNQNs62IrRsGxPQ5cCriY3fXOHyiyXRQ56arNLdc2+XB/R3uuL/NzZfW2L55wIfvFCgR0G5FrPTHGAtKwPr2gG7Px8R13nzbeT76+Qa7z9V4480DwmiRu5+aI0pqvOiqDbzxpi6XXtThK48OePJEgyeO+Gyblcy2BY1A4HvuJJQChLAYC8ZYojg9WSPLOHIn8iiEYQi9kWB5LFjqgdAjrr98hXd/2wq3XZUw166z3G3Q6dXpDQL6Q3clKIAtGY4zcCc5wMehZRxCGCuOnlrhQx+9Y8PKwP7id77ppfb0uaXf27Jx9v8MgI/O/Cq9cCv9c3/xfUnU/+XuuWfWebLPVLPGcBwzUgohLFIopDAIZApuiZIaKROUFOnl2eApS6AtdS1YHikWOzN8/K4mDzzd59brVnj3a1a4fneHuaROHAcMRjX6Q4/hWBNGiiiWxIkkMQJjBQKLFJbANzRqMYEf4ntjTi2O+ezDkoMnfY6cnEGZgN2bfa7cpbjxii4qmOepQy22Tje4+mLYtH6ZpW6ba7ZKYmP5wkMB44FkuhnzuheN+MzdEcfPtrj8Eo8zKyOeOexx0cYZrts1z71P9rjvGcE49Lli1yxXXBRwxbYeh84scfAUPLS3wYHDTRpaEGhJM7DUPJDSBVXWupM1TiCMIUwE/bGgOxJ0IwhNjLEjXnhpl3d/W5fbrknYPBswGk2x2KnR6wf0Rz6DYRpIjhTDsWAwkozGrm90FCYO4KFhHFpGkWE8towiGEaKM6c7/M5HvrrhkQPzvzw11Yh//n995g/2H1ngD9/7fX93Af5v3vt+gk2fYunAq/++sEd+Y9Q/Ma2EplmvIWSUMrRFSoWSoKRESlJAC7RS6b1BqwRPC3zP4HuWwLM0/ITpmqA39ljuzvCJe9rc+cSIjTMD3vmKDldcNGI07HP1LstFmxTjyCNJFImR2Azc0uDphGPnLEfOClaGhk/f2+DUwgw29JipKbbMaXZs0ly8Fa7e3cXIBd7/mSZLS1PcfIXm6t0dvvKEQMQeG2YkzUbMIPKRaVJKaZ/OSHBuSXCVbfCKG3t8/dE6W9b53Hz1LP/4TQv8/ud7PLSvSX/ksbjSYteWOpdvHvCiy3p858t6nF5a4tP3BiwOAo6d8Th1ysdTAildostYS2IgMpYkNszMRVx71YDxOOKKi8a8/RVjNkwpZlsBUVTjzHyNwdBnMPYYjDTDcQZsyXAsGI4FozHuSjBOGIcl5o4so9DZlcNIMAxhlGhOneny9KceWHftpZt+4yXXb4z+8L2X/8n80V9l/c5//XcP4D/xSx/j2297p/j+n5Lv2NB8+nffdeuTjasv9ukN6ggrQDjmVNIgpYcSDuhSWpSUrmxUCXR2rwWeTvC1wNeGmmepR5ZGaJmqJczUBYNQ0gubHDnZ5L1/MgsmRsQxN147YNemkDgGYw3WuiSOFAKpBNrz2XfcZ8/BGs2apuVL1jUE6+ckG2Y1W9YrdmxOuHzHColY5Dc/2ebY8Wluvszjip0Jw7jH/U8FTNc95qYs062QRt1JIWMknZFiqW9Z7CR0+nVeevUKD+8ZsPe4Yrpd40VXTfNDb17kf34KHj3YpD+0rPQ055babFrXYMPMiB1zI/7NOwa0Gx2ePAL7Tkg8z6JUKvGw7j8LcQw7NyXcek1MEnlEcYC1DUahx9kFn+HYXdFGocrl2zAUjMaCUegkyTi0KaBNCm7DOLIpa1vGUQHuXiTohJJObIkHI4Yrj02//vr1v/tLZxbiheG/+vj5w9N2w8U/9HcH4O/5rx+jNjej/vj2P3rb4WMLf/ChBxZrT+5p8d4fW+Hyi2KUSpDSoKRBSR+pLFpplLJopdDaorXFUxJPi5S5FWNPMg4NQZgwjiz1yDCODGFoaccwjgzjGMJYMIok4yQgSmrsPdjkib2QWIuDttPGngRfuZqPVgBXb4Z2HaaakpmWYm5as2EWtm8as3n9CpFd4jc/OcWhw1PccLHi4m2S3duW+eozMecWp7hxl2Smbaj5QwIZYJUgTiTCWuIkZLlf49yixw1X1HnBZT3ufbTGxhlBo9bihssMP/62RX7jU4ZnTrVY6RtWeor5Zc266SYz7Toz7SnajYj1zYgdN4QEXoyn0/0pXDBhcSdVFCnOz2uiWBHFijBSjKP0PpSMI8k4lIxCyTgULkANRaqt3X4dh4YwyiRJ9jqMIhhFgmEo6EWClUjQCw3xcMgLdi7ziz8yzyuvONPoLNf+wPffZ5rtTZ9cPv5bycz2H/vWB/hPvfdjTDUDdeLkubfvPXTmQ/c/fbwmmi1uf9DiacvP/3CHK7f2UDJBqhTkqb52m8ZTym3a4oUSXwvGkWDsCca+Iowc0KPIEsaJc0Xi0pZAnFiSxJAYnN425OAWApQELcHzINCCWiBoBJJmQzHVkMxMCTbMxuzYNKDVXOGTXw+5+6lZVhbaXLtdsWOzx6UXjUjECl94qEHT06yfUbQaI546BM8e1lxzkWUwVlx3acS1uy1nzyTML/sMRw1ef1OPrz055MApRbMuCfw211xs+PnvW+SuZ4Z85q51LHYtOzYkLHc0023FVNOj1fBo1i21wBD4hkAnaGXTYNwdA2txCSsjiI0kTgRxLIhiSRgLokgyjpzzEkaCMLKEIYyjhDBKQZ0Sxzi2uSwZRzCOBMOUvbuRpBNDf5wgogE37Fzi5354kdffZFnptxgP99W8hvyjvpX/CLXuz84f+kCyYfcPfmsDfCpI5Kjf+e7jx0791v69x2qzdU03hhEt/vI+SThWvP2VXd7+qh6z7YSeqqFUglYJWnkukPQUnqcJQsVIS8fckST0BWHkwO4CRggj6RyEuLD94sSQJM5dSGzqlKRuiRAi1/laC3wtCHxJLZA064J2wzLdMmycHbN+pkdsV/j41yS///k5NtRqXLtdsH2zx84thh2bl/nk/ZalpRpXbFLMtKHViDh3VHJ+OcDf5QCxfkoyPQ0HjliWu4azCzUu3VnjVTf2+Ow9NeZaEPg+Sk5zzW7BD7/xPJ48z1/eO8Ozp2ps7EZsmI6ZaipadUWjLqkHmsCHwMNd8ZRFCpCiBHLciZ0YSBJBnJACHaLEEsYQRYkjhSi1T2NDGBvCiBTUNrcgx5FgGAv6Kbh7kWE8ipgKurzrdQu84xV9Xn29oNNvMhoHRInHcPlITdWC38VraETwERzPfGsC/IN/9CmSxHzfPQ88+6vHj5xob2gpRrFFCUFXeAxEky88rLj/mRpnlhf5f76zz0w7oha4jKPWCZ5O8CIPXyeMPe2kSSQJI5dKd4wjHBOlrBTHECWQJM5JMMYFXMbYrIczBbcDuAtcBZ52AKkF0KgZWvWY6VbM+ukh62ZW+PrekD+6o86+I9PsnPLYvQm2bfLZthEu395lEHd5cE+buvJYP6OYbsF0a8zMVIzva5e4sjAc+yx1I1YGlk4/5vyyz/ZNLV58xXnueGjAvlNtGkGEp3yEmGL3VsU/fM0CL7z8PH90R4sHn55msa/Z0I6ZbsQ0apJ6TRF4gsCTeJ6LVZQitQ8dyi2uh9UYcqDHiUmvbqm1GBvixBDGljiCMHb1OFFsGafADmPBKBYMI0EvFnRjGA5jTDxirt7lPd+1yL/+ngGNwKfTbTAa1xhHHmHkMY4045VTbRnUfrM9e63/7GOf/v2rbnjLtx7AV1Y6KCV/8IN/+MlfPHPq5NxUQxDGFiWtY0shUELTlw06I8Wv/qnPnkPLvPllfV5xfY+N68b0enWG44Bx6DH2PIJIE/rO3ssAHkWSMHaX3ShOPe2E1PojZW6JsRTgdlmklLlBK5cw8T1LzTfUazGtWsxMe8zmdV3OdQa879MeX3h4lqXlJpesF2zfINi6wWfbBsGuLSO0v8JH79YcPtHkso2SmZZkqpkg5ZhT85ZAS6QAawVhpNmxoctDJHQHiuWu5dxSncu21fjOV3T4s6/4HD0X4OkIITyMbRLFkht3LbPje7p84dEBH/7CLI8cbbJ1RrCumdCsJdR8QeAJfM/FKlrhAmcp8poMizvJjMU5LYkDfAbyOHGSzoEdwsTVuoRZ8igWDGPox5JeDMPQEA9Ctq3r8vIbl3nLbQNe/0KDFg2WlmuMo4Bx6DMOPcJIMwpdHmK4fG4Ob/jL173o76lBv/uBRvN/T035/xaAd7sdPM/7x3d+9Wu/uHfvsxtqvntdCuusQOGCOiUMvhB0RY1u6PHRrwbc9WSPG67o8j2vdlVwc9MBw1HAMPQJQ48wdjsqC5TiWBElkjiWRIkgjiVJIkiMKLS2EeSqxFJ8BuVcB08ZfM8Q+An1IKZVH7Nuus8wGvKVpywf++oUDz49zYzvcc1Wy+ZZycY5ny3rJds2hly8dZknjw759NfWM6U066cE7aag3YjoDBI+f3+Nlu++u7EwHGvefOuYzz3gamI6fcP5Zc22DS3e+pI+D+7tseeATzOIUVI4kJsGo9Bp/X/4qg6XbT7PR+/qct+z0xxfrrOpLZiqWRq+oaYNvgdaCZR0J7JjcsjKj0wq1YwprnBxCnRHEBAlgihJgZ041h7Egn6Ci3nCkGZ9wLteu8R3v6bLjZclbJzxGIyadHoBYeSA7dhbMw4V49C5NYOR5OCBfRuE98AvXnv9rabb7X6w3f7mg/ybCvDFpRU6nT5hZL/3rnu+9it3fOkrc8vLy/iedOyZAlwIm/rc4EmLLwU9pRh4TU52A04/0OCBp/r82bU93v6qIa+7dcTslE8YBvmlLoq83BGIE0WcpAmbpAC4a2MDa4qaMpF+BiVdHYfWBt9LCPyIehDSqg9JGPLlRyV/cuc0Tx+ZQkQBO2csm6ct66YV62d9Nq2TbFkfsX1TlxPzPX77M03icZ1t2wTTLU27Ce1GhPBCusMm0y2LEAJrIYols4EiNjG9yKc3SFjuKk7N17nq4hY/8h0r/PJHAo7NN9EqSk8MTRzXGIWSTXMBN17S5dqL+zxz7BQf+2qdOx6Z5nSnTjNQtHxoehZfWzwFWrr9LUS1us4A1riTLjGCxEKcCOefJ4IwcUmiYSIYJjCMLXEcY6KQudqA1796hXe+usdt18RM1TVh3GSp44AdpqAuNgdu59a449UbrPDkY3dt8DS/ctU1L4xXlk7+YRC0qTW+efMTv6kAHwyGTE8333LPvQ//z09/5o72cNBLkzYWTzvLChyTK2FTFnfuRZBAXQn6ymcQa86Pa/zlA03ufnrAi77U559+V48rt3fZMK1oN7TbibFHHOsc5EkGcCMxVmKtkwQ2DyhBCpPajwatYwI/xlMh3WHEfDfiv3+yxpHzMzy6ZxprfObqgg3rLOumBHNtxdy0x8Y5yaa5mK3rB8xNL/OFxwyPPDvNtdsEMy1JqyFpNwzNeojwxgSBRiv3/tZCkkiGY81wFBEbQW9o6PUtS12Ps4ttbrm8z4uvWuGjX6pRX1JoGTlAWk2c+ISR6/FcN13jhbv7vPCSPg+9/DTH5iV/dMc051canFwM8JWk6Qn8TIZJF3jmRJ5JFRyTx1YQG4iMYJzAKIbQWEhiiCOkGrNlZsi1O9zxuOlKQ7uuiOMmnZ7POPKJIu0IKFYO2LEmjCRhrFK3RuWSUkpJNO6w9+mvzNVr8n9uv/jG5fF4+OlvJia/aQDft+8A27ZuUh/6w49e8swz+9qDXgfP97DWolWhAAWZLnR6XEuBVhY/tviJoK4EQy0YeAGj2GMxbHDHI1N8/dkhzWDMP3pDh4vmYnZsGXLL1T20cC1iQji54rKSrlba2hJzYxHSooTzzC0xyJhnjkge3qv57IMtnjneIowbtLRifd0y27TMNKzzwdua2SnN3LRg02zMlvVDNq9f5u6nx7z/sxvYPK1Z34Z2U9FuClqNmHow5uv7FaNQ4zUdqKwVhLGkphXXXzbkgaemXeHTMGGl67GwEnBuYYYfeeM5Ti4s8sDj6/EkICIMEMcOQONQ0h9qZlo1pttNXnzZgJdfO+B7XjnP3hOGzz1Y48G9dfYfbhILzXisGEQKJbLSh3LgmeYErCE2FmsMnkiY8kNqRLz4hj67No/Yti7i3a8bU/cVzZojmU7PsXUcq5RwVOpoqRTUKo2NZB4zRYkgTlxpBEKxtNTjkYe/3j55+vwlr37t29Wxo4eSHTt3/+0B+N49e9iwbs5/5OFHvl+K5Ff7/SVaTT+tiRC5LIDMc3aBppJOA6sYYiXwEkuQWGqJoJkIRtqlfIeJZpDU6PUSfuWjM9g4YuP6EVdtHzE3FfP2Vw3ZviEkikSqtyWUmJtUf0ppEFLwibvqPHmoidCaY6cbnDrXoFZXTAWC6aalXTO0a9CqC6YainZLMdPSzE3DuumYjXMjtm7oktgVPvG1NsN+k0u3WdoNRashadUNrVqM54V84YEa44HE2wAyBVMUS5p1xetfNOSexwz9saQ/TOgONCs9zdnFBlfuavH227o8+kyDY0stlDRAlOpljyhxbtIolPRHmk7fp1Vv0KyPuXLbiJsvH3HifIejZ1bQXsIThzV/9tUGQrnCNSbnD1oDGLCWKEzYsTHmna8asq6dcPkOy8Y5SGKPcdgijj2We5o40kRJkTxy8VD2WObAzrY4yZwuB/AkyXISHqfPLNOcjn/1iSceHWzdtuP39+3bE15++ZV/OwB+6tRJFhfnLzt58tT7nnj8YRl4ikRZdzCSNIDJXIsYYknK4AItLZ50PqyXOA0YGUuUWBqJIDSWMBGERjBOPMbGIzIw32/z1ScNloS/eNCNbMCadMuyeKlFJrKKRIlUijjSSKPxtKQVwK71lqZnaASGRgCNQNCsS1p1J4emWpKZNsxNxayfGbNlfY+EZf77n9e496kN7J6DmUbK3g1Jqx7TqIc0G0Pq9QaBkiiZanCcHIgij9FQMBwn9MaKftq11Okplps+J89N8dKrxvz4O87xa3+mOb4SIITB2giTWKLYI4wko7FHf6hoDTXNmk+jXqMRNKgFEa16yI2XhvhexE2Xxrz71QO0ivOKTCFsVZSnks4YiRCSwFOAz2isWVzWrm4nyWKedItlHgM5i1YWjxPpfPY0+M+AHafHOU79+MRAHFseeuhhGSfyff3+4Gvj0fjpbwY2/z8D/Etf/AtaTVU/cvTg2w7sPygCX2OsSJMrrm5bGnefPVcJqESgEotOI3ad2PQL2zSaT6P6/DVBbCyRgdgIQiOJrSQxmsgEJKntVb7lWUoBWgiXqVRQq1tq2lJTCYEHgYaab6kHgrovadQljZp2AG8KpluG2XbM3PSYDbN9tmxY5P2fNXz4jo1cNK1Y1zK0m4pWQ9FsQKOe0KpHnFk0HDoTUPPdVQvIr2qjULNrk2HTuhHdkc9wZFMWl6z0NK16jVZjmne/+jyHz5zldz+9FS01FkNiErcvYudMDENXFDWoSRojTT3wqAcJnZ6LMXwvzSd4CVq6Rgkpk9TVcpsrXRGASEEu6Ji0ytK4uCZJJMao1IJ1zx1gZRHkx9lzkUuROAd2wdxRyt5Jevwdu8Ojjz0hLl7pv237jp2HPvHnnxx+13e+7fkFeLup/V53/qd6K+d+CjuWtUASJyCFJE51dpJYEuk2ady9khat3BfTGcsnafLB2PTyZdPUevlxUSnnvFyRB0plzQ2kmTwXWGlp0NLVkHsKPCXwtHW+sRbUAknNl9QDRb2maNUlrYZlqpkw3YqZbY9ZNzNg+8ZFHtw/5qN3bWGmFrCxZWg3hAN3XdKsGZq1mFZjzIP74Im9DS5Zb/N69ixtPhwrbrrccun2IQ89Pc1gbNPWPJ2C3KNRq1OvTfOuly3xxP7zPLBnE1iFMYkrh40tcWTzepLhWNMYWeo1Rc03BL5H4CcE2qRJM1f+oJRxS7BIV+BG2iWV0UIRnDudbDJHymT2a8mKTcHsHovUyaoydWImnielY524XEWS+u+D0UAeP3HmPyhd9xvNxi8A4fMG8DjsyzAc/dxX7/jIv+x3zvg13yOMM2AJVCJIpHVAz4Cd3ifKkhiLSmyuxbSxmOzMNrZIK9ss82YxaSYuS1ZYayll3itX3CxVnSV0lEwzlopS0ZbL/gW+ohYo6oGgURe06pZ2I2GqGTPdGjM3NWTL+mUe2Dfk5z60keMnp7l4nWG6Ae26ollXNGvQrCXUaxG+N6Izsiip8JRFyuKTuQMuiWKfdj1iELspUsOxZTBK6A0knbqi0QuoBS12bor4+e/v8B//QHL/no1YFMYaksQQJ3GaSleMQsUwkNTHipovCXxL4CsCbfA85/drZR3AVXo1TWWKawUs3dLUvk1JxKa1LEkK+CR7nkoMB3pyoLvvWAK0yTR3CdQZaaXlFHGaTT109KSPqv/bH/vh7/W6vcG/b7caf+N0/t8Y4KNhlyiOf+HAs/f885XFYzXfl9jIpQgzUCXSfTElHWBzoKtMm7uaieyLmvS1DNgm92jBGuu6yNMS0PLGBMBT2Z0GlmlSSQqUcnaZTlvRPC0JfDcAqBa4kQz1wNKsGVqNhHYjYqoVMtsesmX9Cg/sHfAff38d+47PsmPWOSytuqTZkI6965ZGLaFRi4iSkD/+UgupFJ50lmjO4Da7jHv8w9cu88VHQnphwCAFeH+o6PUVnUBT8wMCr83lF8X8lx9Y5Gd/X3Df0xsxVpIYl1aPYldoNg4N45ordw0CQc0TBL7LbPra5hlbrQxSOW9cCusaJTKAF4YXkJIILpeQySsHeFYl0xLjdLXJdHUOfnJwZ4Au7lMsJJbYuEwqSPYdOFr77O13/Yu3fsdrxPJK96dnpv9mSaC/McCPHT2CtfbFTzz5ZH00iBFCoaV1f1E4kMcSZAJGui+rpCCxKYgrYHbPjXLFUFl2LWu/ckAXro4iA3W24yc+VwbwrAYjy+Rl7K11Vnci8Tzp6jd8QS1wM08aQUKz7sDdboZMt4esn+7w4N4BP/fBWZ45to5tM4K5Zkma1DTNmqtfqddi6kGI5405tTiDpwRKmtSWK4LMJJHEsWLzjCWOI7pRzXXKjA3DUUJvJKkPFDXfw/dqeHqKK7bF/Jd/PM+/+z144NkNJEY6gCeWKE5SJjeMA0MtlIx8lUswzwNPZ21+0uUC0mBfChDp/RoYd3KFNCmEyJNDDtQTj9P7DNCmAnB3/MrAdse3AHhi0hPNRDz5xKP1G67b/eL/LytO/I0A/vV7voQ1cePLX/6SH416BL7KZQCp5k0kyESQSPcllSqq2IwRGGlJ0i9rjMVo8i9byBCbFkiV5EjG3Bf4bFIURVRSgpQiB7eSMm2UyOQJ1DwIfEO9ZqkHTj836hHtRsh0c8i6mQ6PHBjxsx+Y4alj69kyrVjfNEzVBa2apFFTNOqCes2dHC7VH/LAHkF/5FNTpCeZ0+BZE0JiBFGsadYUt1zd48Fn2gwiJ1OG44TBUNELFIGv8D0/1c/TXHmR4Zd+6Dw/+Ttw354NREYSGZM2Sxc9mGNfEvjGsbdX1NFrlW2kMqWQcbJs506APEsK2RLAnX9OKl+Kq21ezGVJJWcK4jKhlV5z/8bk/84CvicZj3p84fbP+6941Wsan/387YM3vfEN//sBfu7McdZv3Dp991c+/du+Gr3MKtcjKaXFCpAWTEn3FmdxWqqpKF3SwCiRA7rC2iVAmxzYRVMwqfbOD4ZwBUVCpuBOi4xUDnBQacWgp8H3wPcMNT8tsAoS6qm8aNXHTLWGzLS6PH5wzM9+YIYnjm5g07RmfcMwVYdmTdCsKxp1RSNn74RaENNqjLj7CZ+VTo2ZmSJNngEm065Rotgwp3j1C/rc/bBxXTShKYFcUvMkNU/jaR+t60hpuPIiyy/+0Hl+8ncs9+3bQGQ0UVoB6MpeHZMHkcyrC30t0TotwpICpbN9Q/75spMwkyoiq0qjSAhNbqZ0b0zpPr/y2gqgs2NbvEbldZNdliUMRzHzS/2XHT589Pfe9Y7v/NHDR46tXLxrx/9egPe6pxkO5n+yv3L0u4WZp1n3EMLkB9CkLofKzugkdTpMqUzTivxxJj+SXIaQs/dzMneK9Cwjl2tvmWVKC92dVQxqhavP0BbPc43FNd9Q8xPqtZhGLaJZG9NqjJid6vDo/jE/9TvrePzwRjZMe2xoJEw1bArulL1rknrg2L8WxDSCkNiM6YUBQkm8jMFzDS7SA5wWiEUeTX/kygXCGjMZyEcJA98xeOBLPK3xdLYAreWanZZf/tFz/MRvGe7bu5HIaMaJIExMyuKCWmQIPIvvubY+ncYdWrkSYdcK6PaTkymidAV0ezU/McuxzgS4cxIqEVMG7gp4y4BOfycpmwbp1doCInHH8cjx8/jB4e++/8HHD0VR9O/+tzL4yuIJpma27Xjont+9NglPMtUES5J/qMxeMjmArWNoY9OOkgzctnSmi8rZX+wwUWKKIitpy9fMjLXLQWV2uU07dFQaTLmWNwdsX9u8erDmJalujqjXxsy0B0w1ezywJ+an37+Oxw5vZP2UZn09YapmaaXgrtecnZiBux4k1PyYdjNkz1HLXY828aXEUyYN4gqPIruUR4kiNppX3BhxycV9Dh2vs75B2sDrxjIMRikLa4XWXpoFdt711Tvgl354gX/3O4avPbOeUVRnnEjC2NJI67gDDwdynV29TN7bKtOrb7YVABclkLNKrxQgt1WAl660BcAnnpcZvhJjla4M2Pw+SSR7D54m+OpD1/7sT/7QjsNHThy7eNdF33yAj/onCIKpnedPfu3XRbLwFk/0UDXtOmRM4UfbNMp2jx2grRHpmZqBuxyokF+askjd2OolcRWDkA0FWgPcwiJVZgtmfnvK2tria4PnGQLPEPgxNT+mFoQ0amNmpwYs9wbc8zT80p9s4smD61iXgnu6bmnVBc2ayL1y57wYx96+A3g9GBMmCaNhjZpyJ5kUpUs/WbYw9ZBj7bS8HjMOLcNIlABu8P0E39N4nnRTBaSXAxwB1+0S/NKPLvMrH4m5b+8cpzttRk3JdGJpxZZaOnEg8Gzq/WdOis3ZO5MqGcDzz5t+6DLOc4WYHpSC3EpgNzatVCyV5OYsTw7sTMNX46wsmC3wsdIfcOLM0ls+ffv9yUtvfcG/2H/49NHLLt7yzQX4oHOUsVe/ub/y9NvCwbM06nXiJM790CwhYDNGzhME5bM1s5hs6XdsztBmQoqUAZ7t4rIqzA6CG/eQsbdN5YlNqwYdc2tt8LTBz8tjHbgDPwX3bJ/55SG/+McNPn3/ehb6M6yfkqyvpeCuOd3dSAPLeiBpBDZlcKe9a0EIhNz5uM9y5DMXUKnHRlSvUEnimh/ageZVNwx4YF9ILwqYyhp7Q4M/drXqvnYA18qipIeQLkGDhSsukvzaP+3yuQeG/MIHN3JyYYbhtGbaF7RiQyOGIHKjl33lBhp5WaApRR4EZ/flQL18YgqR94oULJ6RT8nhynMTtsziVWDn2r0E/owUjS3AnVh3pbv34YPMrt/0tmar+ce93vDoN5XB46iP0o1Ll87c+c9GK49SDyxRkrhMWgZwI3M9nYM709UZsK0t5EvZ9jOFHMmSC9kOzHZimb9Txy2tTHRslrkAKgO4smjpgK2VA7enE3wvwfdian5E4Ee06kO0HnD3Ewm/9/k2n713A6Fps6EtWFdzssRZgJlPrtJNpMxdZu8Ircd8/dlpBqFmcyP7PJMMngXZkihW1DzFi68cEhsH8GEk0lEMztsejY0LDnU6Gya190SaXLcI1k0LvvuVfVrBaT74+SH3PDvH2ajOoCZpx5amtg7kOo1DlE3jkqLwTaZXm7x2XLrlBLJ9PbmiYBnklECdHb9cU68B6DKhTV7Ji2BVFOUaaL70tWe58QWX/7PvfstLHlvpDg5Mt7/xSLhvCPBx/xDxykew3swWGe17uSfPYoMWMopQUqGTNHVrDSYRFYBnbJ7r8lJWbLXWFpWd4/aZWDNFKfLGiUyaZFk50vETFJ35KXN7ytViBF6E70fUvJBGY4TvD/iTOzTv/cMNHJqfxQtqbGoJZoOEdmBpBtBMO+zrgct21tKEkKtfSdIrgZMnC92EfujjK4UvbR5gZp/fUsi5LLUdxh51b8Sm6SErgxbDSOTDdHzP4HlJavOp1O5082JEJXB1lY9vua3PTVfN80t/NOLDX1jPUtxkEHg0PUlbuxqcQIOvyJshdJb0Sa98MpcqRQKoosknRPlkADopMSvMbkuSdC0mTzGT2CIxFCWC2Cr2n+7w6buffvm57mDL2fnOgcf3nOD6K59bj39jBrcJsvX3dkb9R94fdp7A0wJrE/c1pUUpSZIYd9CULOSKXS1XCimyBqizZILFlbqu8VEEtmCTNPsmywCX2eCgMnMnKchjfO0kSeCPCbwhR8/F/O7nmnzqa3McPjdDu+ExW4OZIKEV2DT1noFbpuCWeVKolmrvwHcnTrs55pNf1xw4VqeWTuDK28UoUJ6PcbBOh0ex5ood8Kabevze7XP0G5p25GaPBGEaNyiD1tK5H4oSyL3SsXJks32d5Kf/wYBrd53kdz47y+GzUyzFdQaepqkEjRTovrTuxEldpvzql+3XzD7E6fMC4Ha1T15ic1vR5qsdlzLICwJcLU2S1EqOjGuZS6Tm9vsP8JqXXPP+H3vXC99wdqH7DaXKcwI8SUKk9Bgu37Nt3H1sdxytIGQDpeM0oSNdpZnKJIqZkCSFPp8Et6vbFhVAl/V2pXCqVCeRtbzJ/D4tGkrB7VyTjL0TPB27zh0dEwRjfD2ml4S87+M+H/zcJk4tTmNUndkpxaxvmfINjZS5G3n6XqZ1Kqk0Sb3zHNy+y16Oo5ADJwP6YcBMkLo4WdIpY8BMdtlSTUqkaTc1u7aFqGBEL2wx9AX1yM0g8VN55aUSRWeuh1AXCF4V66cG/MhbBrztFWf54Oe6/O4n5lgYNhnqGjWtaGhBXVmC2Do2z8uXi/KGLMs5yeSwhlwpH7syq6+yE0VJn0+weWYZlxg8TmVKaFwH0PJijzvv37N7uhVse/vrXng0DCN83+NCt+cE+LB/DqXb68dR4+PnTz3l1YM6AouWJtW7rmxSG0FiZSmILIN6rdcogbt4bEvX8VyZiIIxnPZ22lNJW5Un6cAgpRIHcO1mq/heRM0P8b2Qzijk609K/uSONp/42hyjpIXv+8z5gmnf0PQtjcDS8Atw1wJJEEiCVJq4xFDqTKQA9z2X+TxyxnLPIw3CyCNo2lUBZnYrUtuOGMLIzX159U09PvrlPvtONhnWsuFGFj8GLzJ4oUEpmSbWBFLIYrgPBRMmRhIbSSPQbJwe8hPvGnDl9jEfvqPFw3ummB82GSkfz9PUtKAuIZCpjZrZq9K6fIKgsjEJ9DKTl6RK9nkykLv4anVyqDyvJZcm6feIS210sRUYIKh53PP1J71//JabPr60tPKCpZX+/N+YwZvNluws7r154cRXpoxxfYFKJVhApcBV6eDKoqSyeJ6Du8LeaWhUkiWVx6Vb+ZIoMybPU8omL/d0utuiVeIArpJcjmgd0elH3Pu04EO3t7nj0SmWOi1kvUarrpj2LG3f0PAsDd9S90lZ2zF3PZDUfEXNF9R80go9k4LbEHhOfys9Zv9JONWpucRKqm+riZPi4Ls+yKxASRKGmo1twaUXDXnqeMwg8vI5JH6IA59KUomSJWpcWXL5luvY1IaMElcf/s5XD3ndi5b5ymM9/uALbR7e02ax16Ajffq+xlcCXwoCievhlG6VOiWKk1SJtOx3gsFlVoJAVbJU46mivDkPQrMrmS3p7uzKZiGyKcApMpw1BeE44kMfv2tq/J2vuPnG6y+9necYHvScALfhiaARjH+roZ5s2sYQpdNOEMiB6oLJbBFWmT+ugru8lYFdHuewxmoqFWliKwX6TpaYVHMblExQMsHP3AwZMd+LufsRzefvbfHpe6Y4320iajW8lkdbw5TnOnnqHqnsgLov0k2mJaep7vYFQcbeGcB1jO/H1PwQayPufDTg2Jk662YFnjSpjhVFo29xvhblp6mkGI49dmwUvPqGAZ+6P6QfeQwjQc1L+1VjN1mquEqp3K9GyIpMcZssGhWM89vrwZh3vnLIt920yF98rcfn7m1w95MtzncaDIXP0NdoT6GFwJMCT0o8YVOpZVGIkjSs2odlj7zM6AWbVwNs57KkrE3a0Z9uxorS46qVNrBuRsudj51svvGN9ree3n/2SmD41wb4csewMh7+/Wj5rul1s0ch1kSJzIOCYiem93mjr6yCO/15dsmqMng5XJnAdimgJAN1xtzpFFqRAlzrBF9H1GoRo3HCvlNw9LTiY1+a4vaH25xfboJXQ7c9GkrS8iwtbah7lroHNc+Bu+a5mYSuzFSWNpH+3KYgNznIfc+1px06bXjqSACel17mbSlFX7EgKho0SbJGATfO+ZpdY67a1mfvqQbDmqARC4LIMlak1p5J2TtzUzILstAquc+eWpHGqHT6gMco9KjXx3zf68e8+ZYVvvhInz/9coOjp2vsPdUgXAmIA81Ia6SSLp0P6PQ+Y/Jctkweq7UAntm/lBibNMlDwdx5MijtDS1aEE3+xYyxhAmcXerx5NOPsG6u+VwcfWGAzy+viDAKf/y3//DA9KWbPG6+NOTGy2KEcoU6JpJEYdrFTiZLsnENBdAzsGetUIUuEyXdVt01ue5O2cI9zjpQjBv9IBOCwE1SjZOEs4vwpa9qDp2sc9eDdU4t1zl0uglBgGpoalrR1JamNs5F8Nzg/JrnxrU5EGebTDeVApxUc6fg9hICz7G3O7FCjszDnqMNPFm1B3OJQlEPnuvPzEkxaV9j7HHVjiGXbhjw9OGYQezRigRjDX7shl2qEsClFAgpK0wOE35yJoMSmfdRRonH2PNp10P+4WvH3HZtl1PLXe58yOfwiYAvPtrg9GKNZOhhpCbyFUJKd6UQ6fuRBs9QyJbSobTF4cy19ySbW2ty1yW9rE2AOnHliJHTK8JLkCrhRVeMePElY15x6Z3rXvPan/hn/+rdh35Z+LvXMt4uDPD/9/dvJ4pjPv6XA0g2s2vTgGt2jnj5C0dctSti80zCJTsjAgRJ6FYaNqVh8gaZghwnRXLmLhg8hfEazJ0FMpkkyVqsnL72goQosRw+IXjqsOJLDzZ4+ojPs0fqdMcB4zAAz0e1PQIlaChoaEO95AMHOqvTyMpmXV14kMoS31f4vkxPAFtoby9Jh+47nV/zI6wJObckGdsArSW+tOiSzTZB4DnIE1vtdwxjD4Fm/WyIVCP6kcdAC+d0REXBmFamkoGUIocXZMOOKKRj0Vrm3sdLVD5+YjD22TQTsn1jxI0XjxmGQ/7RkQ5PH/X50gM1njpS4/DxGlGsIFBYqTBClr6cLN5brHE1tpRtnlI0mjWHp8AmBbUpATwyaBJ27wrZOhNzxa6QV9w45pqdCds3SrDnm6OlO797JLxf/msx+If/9HbOLPTUn3/loIhtwCCa5okjAU8dGvPFB0OmvJjt2yKuuXzMa1805lXXh2DB0zH1psVaN7YB47qqMzYvNPeErZB+55ytpasbcUGlIQotg5Fj9KMnJR+5I2AQKR5/tsbBEwELfZ9x4oP2QXmotsKXgrqChrLUFG6cmUoLj5Rjbd8TLulRBrcn8VNZEvgQ+KSuiUuZe9rge3GaEY2o10LOLyd86b4WnV7AzJRwLlOWGZQXOO5ZWjrX4pLxWLFuTvG6W0Z88eEhxztNhp50MkWDF1u8KPOsU49dJs4upDzrRObvYawuvYcDup8oEq2IPeXGPkSes1K9iKYfcds1MS++csxbXz5i/wnJE3s8hqHiw19qcOSsB0IyGGqSUGXlm1idAXyNY1sBeM7jYC0iNgiTyhJjqTdjPM8gMLzq+jGvvWnM1ZeH7NgaM6UFcy1JYjxG4xr9YY3+wmFh/FvV4b1fiC++4vV/dQbfNNd6n4r619W1ZYSfVgUq5oce872YI0sJ9z3d4ONfjlk/G2ON5YbLQt75mpHr3ogt66cN118T0qyRXqeKIqnVN5EP5+kMBE886bHYdVV7D+7x+MzXaowixShSnDnrY4Qmsh5GeKA1ItBoKfGVoCYttRTYgbIEyk3W8nXq+eqCuf2sLzMHt0p7NEXO3r5n8P2sQCvJ2dv3I5QK+epjik/d30L52tltFf19YQbPvHCnwyVRohiNPN5865BPf73Lh++coh/XaKY63Mt0eJQlZWzeLSSEzAHm3kqWtH4J4CbtgNeOyT2tiLVGx4kDukpQyg3Sn6nF3Hp5zC2XR1gx5u2vHDCK3Di3v/xawEN7fOqBYKGreOJpn+5ApippDZCXmSytPGzWLNe/YMy66cQ1viSWd75mxPWXRlgD62css9MWhQQ0caIYjDyi2COK3TiL3thc1940/T7gR/5KDG7teWB9+3f/+M8uXx5Eyq0MJjDKS89WBSbBmJixtZzrGs6tJIBh/3HDZ77qLj82sUzNJNx8bUir7oKDicqpVQAndR1W+oqHn/LpdhRSS8ZGMrbaMZPQrj1IapAaKSWeFA7M0hJIgy8dEHwFvipm9DmQi6LhQbtGgKzxuAxux/BpWa2XMXhS2mICHWFtyKkFn3BcI5iS+GnaW6VVeZUsZtlOywNxcmZNjCKMPGZaiovWhfhixDAOGMaCunZDMLMakiyhpWS5vFXm7+XeI4uNTJE9NSZtCi6NfoiTNG+g0kUHYqI4QUXZnPYEKWO2rTPpFcNw5fYRoR0itaHTETz8lGZlINOurjJtr1Vt4fDQrFlefF3E1LTBJk7G1pVAp1chYxQmloTG7Rtj0rks6b0QFk/11XC0fLm/+V3t/cc63ct2VOcargL4mbPLeLr7ywdP7n3lwfk+xvhoAUYKDNrJD2FAlnRTusUYOtm1V1q6y5YzX7UTX3OV253eFZc3K1zaH+2W1EZLECoPcoSUqZWVgTpNO0vShVsz37h0r9NOekW69B45uF1bl8JPwe1r8hJTx+Api2uDn2ZHPS8iCCJOLBj+6ItN0D6eFEWAmcsTsYrBy+5CNiTUgc0duDDyePfrhvzF3UOePdein3g0YrcorasCLIaXCpXlBIpgL9+X2ZXCyFKBV7aZvBZGa4WXuHkpXgp0lzhzSTNXN56kwX26jKNM0MIibMK6huHbX2JBJqnMxGFklXlI8VomWY3GxEV8lkSSKDMo0n2TnajOESqMDE8brD3NwdOPv/KyuVt/2dj4n3xDBv+ZX/sKSgr/9q/36Ueahgcezg6KJcSl4NHmAYKt6qvSa4k3Yf9XWLx05IVw75KXCqZrZEqZt6ApAZ5waeVA2HwqlidTUMusqbZUSKQpzUFxIPd10VVfAFzmsiXwbd7S5vumNDgnxkvZ29cRUoYcOyuY79YQWhNIKvIkT8+LyqGtSIcK8FKnI4w95tpjdmwasvfsmGGiGSUQJG68nRenOjwmd5aK3agqnQpFAZQs5snk7ydIEoNODImSKJ0tX67SYrVsSFC2flJqzYpsMpbJrVtRylHkw4SyTyBKHD5hLtjcYavayKuduJL9bGQeu9YCwQ07jiOij7vVe78RwO987AACmO+NCZRjpCxX5orQS7UCCIxVuQ3kPrCt3Bff6ALyRAh3WU0v5RkLFTPEQQtcwkGkoJXZVFr3OH8tJfuiFJS8wdZXwoG9Am7p7v0M6FnwSb48oZ82SWQSxdNOn/p+REzE575e59x8HW9K4ZdrOMoOChOKdKI2w0wkfUZjN8H2jS/p8/UnR3TjGgOtqceGME2nK1kURGUFZw5o2TtlgWbRROKsw3SmioVEiXQejSBWAp3IdBW7dJ2kFOhFMs3kCTYpTSnxZipJuGIERWmg0KQkz3M3olSuUQZ3AXqsSMuoRcWscCeRxjMd6uKRNWV/BeAf+JM7mGnXX/rrH77rpvnFM64DRuYphJR9XIBgyCZKicKkp1RMU6rrvoAoybNhmUdcTiQoHLCz2R0Z2JUsNK7KgJ1Oqc1GIZSBnc9BUbh+xLUAngWcme7WmSyxqd6u1pL7XoTvhZztGB49WAfto1N5oksFSvn3m0C42zelpoC8L1XmnngUedxwyZi56SGd5QaDWNFQ4MXuu6jEDU1SURngOJDnb5RdaUsMaWw+pcooQ2IEnhEkSpIoQ6IEcQryuFS8lpVDyAzkGajTYFcIt8S6kKZa9SlKRFdOBtkyi68B9Od4nP0VIVyXGCIhkZtuUu23vvTc0Xffu3Hnm9YG+DiMWO7ab5/yuL5FhO/pdLXhcoWYyOWJSe/zuoKMMZioQ1iDuLNgW2Jzxs5KM7MDNlkHIQW59pQZ2EVR6umai7NOFSdLVN69UgA7a7517J1qbk2utzNL0DF2AW4vr06MEER89msBX3+6hQw0vhRu/nZeQViez5IfkjKBlerki6aRxCgSoxiOPG65esibbuvxu59tESYB/URSS9xaOVoW1Yq5TJGyaAAXlT29BpOD0TLtbhc5uBMlUco4RpcyHS1hSqXIRQ2QKFVyZs8z1s5S+uRM/ty3PAFY+qxMsnnpJEh/ihCW8Vjgmdr17Ub/262N7l2TwfccPMXsdPN1v/eRL/+D06fnadfcKIjqhyDl8FI2LgNwdpZRjHa4kGdSznrlO4MqIFSp5kEKSrq20LhKZUxOyuDkbVgVFk+7YTxVBbcbpzDB3GnPpp+2t3k6aziIS1tESMSf3tkmsQEqz16WA8yirzFzNioaPF2NOO9nNdJNhEqyYFMj8Hjnqwb88efGrJiIYVJjmAi8mJzFpbTIWORFZ84unNSiksKaLNVeG0Gi0/kkKgW5tijj5EqiLCpxFYwuwJQFoDM2r5RRlJNzWYltKkTK1L0KDVUMlStMi5OzVJlY0vLunymSwTytZOUfrNv+7XeN+se/WGturwI8DCOGw/CSXm+wu9fr0qr72NJfyWPIUrq5LEMy6Oc+fpWwiu9WCriyLy1FdjaWmHzi8aTmzJi8PNsjW5NGpeBWamLYTQpsrUThpOR2oOu4d43JNmXuIsDUJfYOvJBHD0oOnK5hlYeSEl8aJ6nKdRolAT7pomRbMYFAlPxqB/Io9ti9JeKqi/vcv79OpHyGsaAmwUssOhbpShlpF06c6nAkTrWW33KtmvxSg0Fe2ejqXRy403Y2ZUvgzmqBrFs2PAN3XuU5qcOLY5ux+VoAz5yVchFeucq0yITb0klQ/PsoGhCGg90mGV9ikuiLqxh8ZWmJOBwikgHtmjvw5aJ1O3HvXrcTDP4NrO4SqMsAz4FNNTmiSotWyZI0cTJAuO75DOxpp0vG5Nm6l9Xlv1PmLg3/cd325MDOs5U5cyf42iV2XFdQhCXiz+5ssLhYRwTa+e7lk3CyBqV8LMsFSKbKqhVv2iiiSLNuVvKOV/d49GCbcVJjoHzqidPiWTmrkqTgzq4VJvXE05R4yuKV2vt8fEcxoyYxoA2pVMquSG6eZDGNVhaPpSmOkyyYW5ZYnBK4K0C/wK1SQj3J4hn4K8B3fzmJAzrdhMbKMnFcFBfmAP/DP/kLpJLML6zQbijHx3YtcItVr5UbFOA5QF6SImLV8wszeNYEmyU1ch1eZnBV3BdyRaJ0FeC+TgcAednSgWmGU1u8PBVv0sdJZdPKde48eww+fkeLsfRRUqXZy+pMlskM5loXs2xfVXV4qsUTRZxogkTzjteO+NDtA548XCdSHgMp8ROTukcCmdh80KhjU5GXPbibSd+rum5RmckLcLtBqTrJxkoYJ4Xyvs2ii0pJiRSWWJQCzVymFBo8f55dSy4A8nIAOQnyVcHyxH2SSE6fOMT584uQtlTmAD96/BQ7LtrS+Pf/+X27Tp1ZwNdOP5bb+PNAMkV1hckrl4znYO/8f8UXrtyLKoOXL/UZcAo2L407KI0/KE9t0jpb5DXV3moC3Fn63ssak42bGZK3iGU9nXG6RSgv5MApTS/0QelUntiJ8tjV36viopT0sJ30wtNunCLxo2l6gsu3jnjyQEhiAobGp5a4mm2danAl3Ohhl1jKwjADFZM35dHcU3bHV5cnHlhQxs2W1Ia0g8jNdc8bktOxy0l+QlVbCF0NVrlgLnfkV5XVrj7tReXkL3vkGZMXLW7lGeYWLWJm2tO7XvTyH2t0ln5gMDW7xQH8xMkzLC13Xrt927qffPzJp6n5Ir+EJbLs2RagNhV7264N7smcDmsxN7lGrTJ3qV2qxIqqNJatcq+KIZuyJEvKqxh7itQLd+B2AC6GAnlleVJmb5X2dfohSz3D//jzFovDGiLwnDyRtnJVKQbnPNfBLF0VjUhXXikzuHNU4ljTbmje8509vvJom8WxTyg1Qynx0x7KYuRDCri0rofUNszKaC0mBbfJS5zLnTY6nTiVBekZ2JUUKYPb3LWJRTF/JtPfBXuXV3MrTUBYo278uaBepFBc/TgZqDPQ5/PK3VVoNI7YeNGGnzx7at+9UTj8i5zBn356D0Hgc/LECXxl0NpLR9wKVB6MrO6UXuWWrIVyUX1Y1t1lhhN5oicFeCkbKEvSJOuQqQBcFePHVAnUWkp0Kkl0DvBMc5s8qPS0ycHt6az+osrenorw/ZCP3enxzKE6SA8pJUFWGiuKg1z0L7oveMFqQsrkISi3m5mUyaNEE8ce1+we8Jbbunzo9hpGBwylTyBFnvRRUhCJbATyaiYXZSYvB26lmhijXCuiljZtRySf7ehYXRQsngI8Kc0Xl2lLW3neuBQlUFcCz0mMZA7GapBXpHHO4KISHJtEMAojTp86RZx4xJFbGEIDTLcDgiBgquXTCBxVxsK5TcZYjKjOCjS2dCm5kCVosy9WiNA8kJ7o7ZsEes7ipVl5eZD5DQEuC4DniZ4M4NbNyU6liKcKt8QrDQcqNLdjb0+7qVXLHcNffrXFQieAWuqeiFIwdgGJgpiooSwH75O2XWYZGolJMjdFM9NWfMcrB3z66yMW+wGh0gwTmdqTInVvRLGatKyoWUjZO3vJ5GxejG7QGZmp9HE6+tpINxU42+9lkItUspSvuiL9LPlxztlbrAJ4Bvz8FVv+1HaVP14Gd7nkIEoEg5FiGHqEcUAUuz+nDx48yMzM9M5HHnn0x5eX5mnUNXHiPoFILIkQKcCLoS2qEukWx6xKVKVVXyrgLpgaHFM7DIgJ/S1yJlclsOcd5bJ4XO5wccPdqYI7W9kgY25VYu5VDJ6NmyhGTmjlMpdHjgr2H6thCBBS5825RfVgVWJVO11KB4pJh6o0YiMbIJ/qcLfokwaruWJHyO7NIxb31rGJ71g8cTJFl1ycwoMuF3qlgjsrowX3PK/5SMlLFsNQy7GNMu6kMenKHXlCK4+LRM7Y2QyVStCZl2OkAK8kf1YXUWcWYDW5SDFrJyWDJF/AShDGmlOnz7Np6+U/fsMLb3786JFDR7UQljiONmnF60aDFYJAY8cGnZneWXdNGojIVQHmBW62KkfyrzIhR6oMLiryJNfhpc6V8lD7/F6RjgIWRU1KZUuXtFZlcJdAnq5X76WloRl7q/S51hFKRXzu/hYHFurgF/LEy7OJk3Jr9biItS5yxcyQ0piN8upmWRltqLl4Xcgbbxnw0LMNMB5x4rS4l6RDPpOqVCqulBn9ZLahW1q9kCgluSLTxzK9qshsE+myNDYft5woV1SaXzmy+MPY0kleulrLQoeXQS2+wT4qiKB0xTNViRKnJcDnzi5x1Th53XA43hSGyVGt08urp8HzHNUXYEsvK8oizERipwLwtcX35BdYFVQC5QGPkwFaGdBCVIGds7kSpSbcErjT+YTFsh2sBrYuBgTlI960SUEeO3miIuqNkPv3Kf7iq02GIx8aGi0FnqhKk8nPXw6mL8ABVf09YRmWffEo1ky1NG99xYjbvz7gwX0+tukxTAJ8QX6iKVGwZ2HVZeAuQF7mTxd8pieYcmyeyHQ0SIm1s8SayexCI0orQ4hSoDtxsmdbUoAeWCVXLrSPqkCvuij5qhBpTiGOnZsUp+sX6cEoQqiI3iCiNzBp1VZpHp0Ead2HWuV757ie+IgT3m+VySeYOx3wWOyIQqpkUiRbraH62AFbZml6WQqIVLls1qJ1MUJZp4swaVUFupeztduUcgGm74dEYcLt9zV49ngDPA8hVQqq1FUoBZdCVlm8Ks2Ko1YkK2zuCBQTeYsZM6ZkF4ah5srtMa9/SZ8njtYZxz6J9BgahZ8w8VnKQFoNcjvxWVDZyWYwSjgZasFKgVXpyh2pHs+vqJJ0DdT0SmuKq0YWA0hZBLtrnfRiDbw8J8gz/z5j9cx9TIvs2k1F4Fkwrn5d73vqz6nVJMeODxmMBEKa1PsuzjIhUvYWpZ1Sfns78Uknv8Aa7J2lsd2lXBQnkyjYumBxkeu8HNylkb8qZ+wM4MXk1FyipMztGNvmTK3z++KxlwaXWkUEfsjTxwRf/HqDwdCHpocUWeVgqfhrrSxmdpmeOPPdcUoBl0q/tcpni7kmKu/2abVCXn/rmE/fPeKJwwFon5GR+KkWVwZUUta/jjlJgUdSBnsBbGsdQHLpIh2bZ1eVLMg3NpUlpUSbMNmEsdKxTF8TpnSVToPN7PkFWXwNV2VSNRSVqu5vKWWpCYunJF+7737uuOcxB/BHnjmG78G5BcFS16NZL3TvpHbOz6LVn2YS39UPPuGYIKhIE5GDehLgE6ydpuezEb+TrJ0tLps/1uX54BPgTjcvm0KbFvhrFbtNR3heRGwTPntvnXuerkNNg3QNzV6phLdSGlveyk/WYqaS3ZpbYXlzeRpEGVkB+njk8fJrBrzxpQOeOVYjjj2sUAyFxkuKGvpsCZCcPXNorGby4v0tSmXM7djcPRdII3IdrqRjdJkxena8SkDPyKkaZ6Un2SQWSqAuCHHtAaxVl8U9ELiTU2q3jKPyF+iO3OQB/bXHZrFCIExEoIbEsUwnyFblQuWPrnFb61KzpjShxGyi+liKKmsXMqUM9HKavrSlKxbonMFLmy4WQc0A7ZVAnTknzjFx90pF+F7E40clH7+zBfggPYRQeReRSjN65fKC8vcpTn4xATAKf5cyc5c0uHXerlHp6Id8nXiNtZp3vmrIl+4b8fAhN0kgMopBItKCrxR0SQaotfzn1Oq11rF4hRXdplLQG5mu55MFxZn2ls7hkyIFfHbsTMnJkQWYKytdiCLgLJ6vTZbPdSts5awaNOG63ZpGTbmSA6EsE+dE/ibZPy6D9UJvUv6Xk7Zg/uFL7sKFAe6YWpQ879wWFOVLY3FfLMdRgLsYgF+Au8LapfussTaTKkrFeF5MlMTc9WCdpw7WwfNAuuDSF7Y0OXYt3361Bp+Eli09yBsgSjUilerCRGJU6qgkmnHocfXuES+/2bH4MHEsPhY+IwM6EUXgl2R2oYVk4iTLfebqatEZg1tlkdYl+6x1gaiwIl1NT+Qsnk4IKTF36RibYn9UlikUE3ZxSZ+X6Ho1zicNizJyc5VhsiEO6NmWA1USC0xMHri5qUmFhqwy9GqtXX2cMcdEyrqkSSdZvMLaoiRPyhlNVQK2yJYpKTF4DvYC5BVwl4bi5+6JSlC6BPBUovg64sAZwR/c3mIcedDwUnlC3pqmyqsEi9JBKtPlhSSKrQK9YoOZEtDtWlpc0wwk3/v6AZ+9p8m+U+7kS4xikChXZZikyZ/M6k3SsRw5JLJHhQ+WBZuyJJ1UqtGlsVjpFqqyUjiAm9Ixs+TMXZa45eSdyQBdkS1lYNvVOJvEly2pAFKXSIJIlw4fh5JO32cca1d28JE//B8bZ9v+/3vyxLErpLBpTXXGmAWDikwDT9aIZK/Jgn2VFLlOrrgeQpYkh0ytvWwccHqvZMXym9yykQllj1tnVmDuklCSI6Vh+KW1eopiqnT1Bx3lzQyeDklkyIc+0+CPvzgNQQCqhlKahrLUlU3HUZA3OHul1rgik1oqH5CSYjIslQA1+66ylBHN4gg3qaPcLuYeC2u4aFPIqQXJI0/5xMJNHjBCIYQrpa3GOdWr6CRV5eLAFidffiLa4iTIToq1R7G5v7GqnMNW5Y+x1X9TKT5jdW8miIpjUolbKP0cNyWgO5C019+0ad22l31Z7913ZHp5ufMGayJqvobJS0x+SajWVEzqbCYvN6UzcHVyp+y1TzI5VeYuMXZ5WlSxilqmv9OKvrI8ycFdWohK2QlJklUKZuwd4emI/aclH/1KAzd/xbF33rlfbpsTpc8KE4CiwuypHbVKf7sMXbk2pGhC0GkXeZKOSzCJIlGpFk8073r1gE/d1WDPSQ9kiBWSUeKhSetFsn2bpOhIssRPweTV+n5nXarSb6jU6VFpmYa0otDd1r2HNak/nmpxU5GgpSBcVvfLZKApKvgps3v15Cx7/cY6IjXG/SCKIsbj3hv6Kyendac3pD8cAxatJ9edFBNvfCFpIlZ/oBJjyDVOlMkoe7LASkxobimcHCnKZUvgzteZKckTWYA77xJPRw9rnQ7Lz/xuFaNkjErlSaJiPnNvkz0HCu0thXTed95BQ8n5qR4wWQF5ad+UQFMSc5UG5IonXppIpY1wtSmySOGHkebKS8a8+aV9Dn00IEwUCE0iNEMh0Ekpq0khUYrmuQm5YjN2LmICpSxWZgGnCyqVBStskeIXYKQDvjHVY5nhyGSPDRXgT4J8LcCvxlvVuJDChRcZ4K0FSYQSY3SzphnW3Iq6niqdJSWtvArIq86widdLb559QShS1wJRCUgq97Kq4bLFpdwlnLwnU8lsPcwSsGVVf2fgznS3yoLIbIkTadCyGJqvVILnRRw+o/hfn2wzkh7ZBK2iaz69eqwq7s+YurxzLnyrXr5FXmdfmaluyhpcVOpTEqOJE48gifknb+vz53c1OHRag4rAaCLhMRQClWQnnE0TakWqvCo60pMt+3AUEkCmYJfS5vpcySLwNCmb23R/GOn+Tcbik+7SpP7OGtBXK4ASoEsvTJoYSZlMBCSxYDiW+GOJ9rPloj2JVK5GIQfoqj9aBXI5GBClD1mRJhlrZ38jz3BNsF4l3U1RY5zLAVuRJu6xqUiUnMnLwFYlMOdMnlQ36Vjc0yHd0PC7n25z6nwASqfWoEzlia343vnjylVv4nuL58Z6RarkjQflHs0shS/zLW+GkIok1mxdP+aH3tLjl/7ApxO5gMBaydgoZxsmIgd5NdgsQF4AuwhDVZqAKksUKwt2zwAvswRQduxSFyY75qa0X1ZbqenPy/iZ2GdrAX/NkyFl7zCEUQhBCDpODIlxFWA6NfUnLcGKzp64hGSvVaLhit6mAu5JMEwydxnYBeCLdqnivmDu3B6UFqWz5UwKQDs5Mgl0Zwdm91pF6CDiE58NeP+ftRkbz8kToXJ5kjcVT1xlypZgEWtUDtEFWTxnc0oZzRz0WcreugW+TKmUNnVVYqOp6ZgfeXuf/cd8PvgZp8VBkQjJyKRuSpJ9rqwKzpYObjkvnWVXMy/cVkoLpHUneZ55Fe5EEELkckWkTTJFuWxRcGXK8qWEpWq8dwHmnsRjmclL56ux2dgQF/jnRTRSidyGWWXPlAE+AfKyPs9+t6xDK2fmWrKkor9tSX/biuaWa4I7A7gpgswcxCUml0khUVS5WjBOfe+IpWX48680WB5n4HYA92QxWasqT8qBcHo5pgr4SXxP1lCU7ytVfdkao6b0vFwnLiXKKIzRxIlmyk9422sGfOreBos9BTICo4jQjITI61Sy6sLqRVhQyBT3KVU5ISXd81yfSwf8jMVtyt45wG3B2tUS6NQ+tnlCssTm1SwmZexMgHgVBkuPLcX6momxaM8rRikoKSlVSaw+e0qS5EJnWoXJyuBm8suWGdBOyJM1gC3WYO8U0DJjb1kCt7Sp9CgCzIK5M9Yu2NtrxHz2qzUefKqOKWlv19SQyZNqvUnef0j1ZC5vYmLfVW8psCYSPuUS2upakmnQaSXKFr54nHhoE/Pia0Le9KIBf/Q5H1QIQmKFYGw0Sgg3OSwLNFPmFpUPWBR7lBNPWUZTZQmgjM1FJlHSq48k1+PZcc4YXWaP0xyJndDcZaet3PlTBfaERJ54nN2yisIoBh3HkCTuF7Wc/KsTx2VC3K86q8Qa4F4D2FBYflUmn1hzXhS/lwF6bRY3JQ2eTmFSiZMr2RDJjLmlydlbSeeeBF7EoeOSP/hsi7M93613Ld24aCUoVmyY2Fbp7rLvvAZ7T94qiZ4Ss0/O5qssz1iqE1cyu3fLn2xsJnzfm/rc+1TAoXMSRAQoDJKRkPkiUqSkQiZZJk646id0r1vpnknr6sEzQOfSKtPhInVUUgs4Y3Qr3ftVGjIyiZvVy8jCwiy7bgXOqj8r7+Dy/nZBcJqL8NKrsU7Hbl/wuKxx1jwXuNd+7ADqAF4Fdq7DywN+Sk2uKhtXoGzJAy+BO5+XbQsrUGYBpSkBO0bJBJ3agr4fMU4Mv/2xNvc8Wnc7QmqnvaV0XTuimL+Sl6Nmn3Pye0LlylXefeV9ujqDWbgWxZLX5crCchmtazczmaOSGGKpUbHm5TeG/PA7u/zcb/uM41SIGkmcuirSVLt8MiYvf9LVKxXbvHzWjVdxAM6Y3aZNEkK4xzKVMybr3RQUJQFrNIbkCsCWKg3tBL4mSTd70WYnavEN4sQSxYYoMuislzGrqV6TudcCeeUsK+4vBOzVUXQJ2KksKbrSJ9nb5M8zpna+eNn7NumJkMqSXKqUZIlM0udxzuCeH3Pnwx6fuqfBOPSgrnPtnbN3dkJ9I+YW1f3ntrWbjifb/YqV58rgJgePtavLaKVxUiUDehxr6o2Yt718yB33DPnSw8rZhsJ1LURCM6RUX2Qnu33SzyVLz/M2TudzW5tagmlrl3NV3HMhCicoi8HcMNiiy9/aNfYfxX7MZFNFokzgbi2mKFvTSWLTpnmLDiNLHLs3V+q59OIawBergV4BeGVkwITmhup68ymIMuBXaqwzoKssyVLS37ksSTddgDt3UUrD3HPtLd2U2JW+5bP3Nth3puakiXAlsSLT3oLSgqirQZ5fhfLvL0pAf44dWSYg6458NW1dTV0XVYbSNSWUymilVEiTII0mGmsu2xTxptv6PLjHpxNKt6NxejxEIXE99pIi6CyDXOVHugg8FS65kx/4lM1NJlnS72+EY3unxW0hU3JNLnJcyPQEkil4quPe0tewaxPEWtjMej+x6dRghc7HBqdjFUrf7YLlsWsHACVAZ+CleqbKSSbPmwTc6xnAV09QqmpvOSlPZAnIciKglEnlPgO3p2MMCX/4uTrv/2QLK7TzvSvsTaG9SzZmeSjoKubOQL4mIxSsU9RurOWFl2XK6lY2t8pBCvJEYaQhSdyqDFHiIZXhR9464OBpj/d/ShPFaY2BkRgEYyFRZqKEV0wwefrhVQkImfNhreviUal7Aja15rKTu2Bzk8s5B4wCA+lJYW3lBCjvwzWDzdW7cgKbliQxTqLEBt1uJCShoV4rpvLnzEJRp7D6bHF/ftJ8X33pWUOeTAC7IlFE4ZrIkhTJH5eYu9DcJgd5wdrFmvUqXalApZagkhGeH3HwrORTdzXp9z2oq9Xsndd8l2STKBI8Zf1Y0ZIiY6RvzOGrmh5ysJeakLMKw7TeIwe6LDKdRjotLqUmihJazZi3vmLA7V+rc/BMmiHDsXliBMP0NBQChEl1g10D5K421rG4LF6yuOpCZYokj9PmjqXdfaG/TXpcbQpuWQoYRYmpCz+8iq0L7cgyPrPHo7Gh04/wahFa6wCtPXfQVPWXsxqJSttQ6b3KTsnk42LwS4nBZdEIWzDghHOSMzcTDL42e+fLa6gqi8uyLJGOtXXK5FrHjCPDHQ80+cpjdTccXHoO4BPsXUiTImCq2p7VoqLnjGGeE+nFVg7wnA4v0vau/sOmEsVU9HgiJDKRSKGIxprXXB/ymhcPOfF5j7GRuRYHQYJmLHBBZ8p8Qol0ZFkqTyxY5bx4lTnkWZoehw/SGvgcM8LpcVN2UUpAz3BgRFqLZAsSBIGwVQ2enYR2jQqDoke4CIpTmx3f96gFPnpm7qKVbj+8XSr/73kqdvW+tlh1oBztl64DFZDnH6bUXJqDGtLJo4VMkSWwVx+XZ09nA++r4C6YuwpwrcpAd3Zgtn59loqX0nXqSD/m7od93vv7UyRWF86J1Agh3TpA5VUlKgxeAnlWdrAGk5f31XOCmgn2LqXsy3LFUF5T05UjZ45KngASisQYpNHEsVtf6Ke+v8u+k5q7H5IYX+DUtFvoKzQqD4TzD2QLJs81d24f25S9M01O8Vrat5kFklJkvvgk0EUeaFpZePKigh9RwpZdRRp5cG5LRJxKOSEs9ZrPutmp2y+9ZMeKeunNm/vD3vyhWmB+WMrILWiWvUkOVLHKPVgztV4pcS3VkUw8zgqnyqn27PXJJM7kYz2hvcs1Jrk0KS2gpPOsZdFreXJJ8N4/mOLex5puUR7ppyWxGq0EdUm+oFS2wJW64JbWvedDcso14Nkm8+lbecN0aR8Wz0Vlf5YTXpX9XVpRoajaS8cZlwZhCmtZNxcTaMuDT/qsDOXEpUbmU8RlCeiF9ywmgFU6Wy8gXavjKFa/vkqGVX5PVNVCztBijXil3KjtFteKExhHBq19Tp9d/L5HH3tmn965uYeUgtE4YXnFMAo1YfYGxg09tMJWgs7nYm9ZCS7LI5FLs6PlBZhblILJdGrpauaeZPGqNFFqwhbMSmHTx4mf8AefnuIvvtrE1hRueUKnv4WU+SpuZVtwcubgpD1YZNkuILonXq4e1CojVZM+kx33mWwp9LdNHzsbUbmBqcIgjSIRGjlMeNsrhzx72OOXP6AJg7ikJwXGeozTVjSRXkpEQq69y26Kyg46gCjkq0lLKywpcwuXGMra2awoGF3asqQrruyZu5I5lEWgSa7P7ST4rZvwYoyzBqMYhmNLZ2SQKgYsenZqhJQwHFrGI5Gmf7OyTUs2Rr2cuhfFcWOyXFSUPtBfCdh50Lm2NClWE0h9bmWQouSelDV3ZUvyTeY1Jwlfeijg9z/fZJSkU/Bltsl0mUJb0d6Vlrm1AmYmv3v1voLyCzFe2miQASmXhDmwy1OvXMuYkyUWI0tFWMIWAadJl/kzmsAzfP8b+9z3hM+XHnN2YRZwglv/dGxF7v4ImZ1hTpMXC5EUEkVKgTLueaZgsl5OKW06Fa6QJ3lGM8MBuJNqAuzOMy+9ZtPXJtnVUnQWWVd7EiWWQWgZJpmXD9oV+mfMqx04Kd7EWTnFHy5AvjawJ1OxcvIyWgksywsZTTJ5lb3LoM4ZvLTEnZaJa+1SBbCVipFpgKl0xGAMv/B7Uxw+FWB1ulqy8Cra259I6kiqzC3XAjfFtkowPocgX4uRyo6KqdSnlKbAZr+TLX0iZVoRapAlPW6EITEaGRou3hrx73+gw33/NqA3Sr+AkfknT6RmbLIrUemDlZM+uMrE/DOLkk4XaVIqnTDl9LhzWmT2pzKiTFLAS5tLo6zIMSdMO5FxXYMiyiRQPBeEBmLjfl/P93YhhCKJehi7kE/rzAp8KD7/BYGdWT7VBoCC/SYn/0tZBvpq1yRPyYvSsnUViVJlbi1NFdzKsXaWrdQ6Ik7gf36ixWN7a87zlkVSByFWsbcStlSBtwZLTzC3eyFLNYsL8vWqw1SWJTkzFSvZrZYqk4mf1DIUrrXNSINJJEakW5JKFWO44YqI93xXh1//2DRhkofHmUYgNopR+UTMspVGZNcW8jx6lraXKctn4M4YO2Vzgc2tQVsihxzoeV5BZLuwEnCSOS/ZPrYllZT+z13xReruGC6/qM3c3BRxFKObW95EUGty4tiTHDlzO82aYhxX/e9JcOcZyZSxmQBCUUS1tlTJg6RVrD3ppJjCBxcT4FblxUkLt6QiTVIW17WELz8Q8MFPtOgMPfBVCdyqcE7K7F0KBMsuSgHsNWYQlhM8lC75k4AuceJkrJYngCaBnUmTigfuVi92k3+zuvFCqiRSIa1x9Sqxol0z/ODbBzzyTMAd9ytoxKkMSd9cCmIjGVe+iy2+dA5k4UpoTfr5pSsrUMIWAE8Bn3X6yLTEMEvqZEDHZOdXqX+04Is8N2OsyGes5CBPdXrWsG2tZMvcgH/0zmu56cYX0O320HEcENiA5U6Ng8cDdm5RZMPMqwX9ZXDbSrC1CsgyTQPL8s9K7F1azyUDtBCTkqSku8saXFTBnWcqVbGGelYlqGSE1DF7j2r+18fbHFzwXBu80KVNrsHehTRZu2aiyiLVMcUFIax5y674E7Uo5aaCbO3RnM2xpVrxiVS+cZafkaUspzQkRiKMJBEqJReNjCy7Z2P+yTt6HD2rOXBKYHVZYAmQHrGVjHK54pjcpg29tlIFVZytMvVKXdVglc1lytg2x4IoXzgKVi/9vLLPU9sRI7KwIb2YFOwuhaQWCNZN1dg4W6dRq0GSoLeuE9Qakv5mwZFZ6A2z5a5BW1f/UT3ryoMmS152WZqUJEr+vJK9LILJ8mq5hfY2JSY3JeBPBpXJRDKnkCdSxvhBzNmO4Bc+0OZTdzawXkmaiIy9Rc7enpjIWpbmDV5If1N6Tvm1MsgnaLzC2hNgryR7JkCfpeyLVRlszubljKcxbnEox+aFHo8TgycNb33lkM5Y8pO/pji3IiAoRYJWYI0mlpKRxRV4Qw5si8gBb1PAS1H44jYFvsxYPP1KmaMiU8QWGc0qyAs2rwI4m2xurKhUcGZWbLbI75kFyZHTmrnNmm5XI6fbltlZdbZRT77o1ZqsdBPCiEKHU2UuOQH0bABPUStSus8ahNUEC5ezkaVVdIugcaL8ddIVyUCuCokiZYJMS2GzWpMQw2e+XufLDzWKWhOp0q3M3m7LBwplEqXE4mv1XcoSsDOgTzJ3HmOu5RuXvd1V6XoX7peXGiwP6Cwym0XypzyRNst6Vl4zijhWSCN57YtGvPklA3yRQByDKW02wRpLZGBsITSCyAgi64bzx9mQfpvO57ZFF015ZneSlLtrqCxXmGSrh6RBc74cfGWzVXu0tI8y3pDCFQl6nqRRh4u2ThMl9oujyD87DAXqv/7S/2Dn7ltWzi2Klfml+O8vLy3QqOl8yE41gVOq8lPVbpsiuVOAOu/IEdWMZKaZZFZTosqAL6Xk1WRQWa35LrN28dzNOUmk4dP31PnP75/iyJmgaGKQbpafGwUhCCTUlM3LYnW5PFamg+Wz75Q3QGfTbYtlVdxJIfPn+QCklGHcpC5ZTdykTt2q5yUiKZcPlwlmdXdU6kiUrqTFSVdaYUG4s2m2nXDlJREnzisOHNeYMo0W8HHjtEVJk1d+XtZdglKepnQJE2vGGeXfTatSLswB6d/KiLY8oDVbcMzzFIGXcNMLdnLpzql/NVg5/MDNN9/m1uhp1NzakM2aoObLiWaEkiwpl7BOeNhFAFm4I4XXbalYg2s6J6ZI7Iiq5paZ953XmGRae7XnrWSM5yUcWZB88JNN9h0KoJkxtnIIyqY/yVK3jqSS2CkHQkUV4YQ0oXrgy47gJJtndlf24trBpQBr1i6btVVHxVhKI9ZSFhcCkQaeiXGrEBthEShX7JR35WviseWKi2O+/609HnrK5+h8yarIjW2wVhMakcsPS5bIsVjjftemwacyqW2Ya+5MfojUMizZhaZ4u7IsQYrcls5iPmPIk04iZXYxGY8Yy2hsWVg2NBcTwtBFzhrgmquvpBbU8T3oLJ2olqsKVj0v+9aTPnYRUFZX38qtwfzvlILNCVA7aZPZgymoxVrgzvR2ghKu1kSrmKWe4Df+uM1dj6UjjzPNXZImUlDUe5ecElUCexnQkxJFloEuCtgWq5l949uqpA6Z42sr7FbocHJPXFaqDUFY6WaRpJahEKmbIgxCiFyPC+HahxNhYGB45Q1j/um7u/yX35tmeVg6KyWpuyKwUhEh8uf5qhHSQrrMoPsQTpeXQV+WXE6H25IWTxNDJS6w6fIn+Z7MVkFMQS5S10eIVOIYSKwlShKsFcyu28rFl1zFcDjMvwabNm7i0ssuu2Npaem9vh+k9R3FHMDKKmJqIn1eaiGbbAiWuZxYHTCumXIvPZ/MTGY+9yS4K5agjBlJy29/sskHPtGiF6V9eHlQqQv2Ftny29VU/KTGziei5mBfY3gNxc8nM71/JZCX7yeymPlIiRLQyxnOvPPHFCdBORA1RubtbdkAT2Pd4KAk0bQ0/PDbe/zI23rUcw0eg0ncvY3AJFhriSyMDYytIDIQGUGcJlViI4gtJT0uKvq70N2i0OG2qsmTkkY3xlZ+pxhnZ9Nlz23eOZ8krmknqNVYXl567+7dl96xfv3GAuAbN23mf/zmrw5WVpaO+L7C89ys5WyAfDEIs9xRU9XLZVZe1fm+CvRFNrJc/ipLrxfPS45JyfeeBLdUMXiGZw/5fOSOBt0onYxZqjXJJIoURaeOTh2Aotvc5oyyGuxVx4QSyCv6VEyC+7mhXrSrlV7LwVxetrraZV+Mn0gD0smUfjbPMA9AlXvNqPSxIo40LW35ntf2ufLSMTJJSuAuAd4WIB+VQW5TkNsC1HE5AC2DOTsBbDbcvwTsCwSZOUtnW5KC3EBsLHFC2n+ZIKViZXn5yH/71V8ZbN68uZAoAN/+xjfg+zX2PP11Dh94BN/3Jir7JpIwopAtRYaSXGoUluGEHs+TPE53l+3B/Lk06eOM8ZMS4EvAFgVza8/w5CGP97x3hqcOBFhPlWRJBnCJyKWJrbD3JIgrDcUU7JzhOC8GmgQ75AHdN4K2XfWglOihdHmfZPNSOW22gJXISmiFSEtS3c9EmsoXxl30EyHT4+XYHOFo+dpLIt73kyv88H8Vbh66TzoDQuRWoWs4VsSZXBGl19O6FCvTZmSTuWxpR74ppEkhUZw2zzKbFd881+apPs+KXiTYhFIjtAP7MIm5ftvFvPbVtzEYjoCfqAJ8dnYa368z1fapB27dyGoTAhNgnFjCuRxsllPxJZ1e1tvlxI4QVe0tcs1tc1uwAHfK4qJI6GgvoWcFv/WpJo8/G5BkdmA5oSMde2fSRItSQ0Op57LqUtgJ3Z2NQJtk+NKYu0mrUDwHxO0aD/O6imp3eyWorPzcLbnupqsKhJR5EOZA7zKcWfmssNnzVI8bJ4BUYrnhyjE/9tY+P/XrHr04RUe23P1aICeVRrgVl8FmCyk7XZ6VaGUnQ5YEqmzp+pq5hqeSd6EE8ux7Z5WFxrg4LxGCMDRIFTAzM4f2Bvl+zQGutcbz/IONev3QVLu+O45HSCmriZsJ56PMytXgMmP11dnKLP0uVskak/8sY/CqTEnbzlLWzjbtJQwS+OCnmnz8y03GskjB5/fC1Ztk0sQTzgqcLINdpcMnRhyUJUmFzSeYPndXngvcJSlSkSWlOpQqrWeSxBbZTiuKhEs2+tgULG5yFpf58bPGkgiLMKqUobaIxOALyzteM2DPMc0HP9miH+F2WOqWuG6fAuRRZu1lS0ymYCwnglTJPclcFlECcsHYWRrfTrB3+jivdSnGxBmBW97SJjTqTer1xqEgCA6OwyjfdXnIPz27lWOH7v1io9n88NzcDL6O3No1MpsWVR2yk/vUqqqhq7q6+J2y5i7/XFZqSsqa26xm7hzcce5390L4wKeb/Nffa3N+0SuBOmPuTJqICnvnxVRUs5bl4DK9IlY0eW75ihI5Vxh7jdf+CiDPgV5O4Wd6u1SyzGSxFUWwWSSBZLpKRHmeishnjFtTTghljzVxotg0Z/iZH+jyj9/apxUkTvRWtHiRDMJaYpslg0iTQUXwmevtSsApSlqcSpLIBZSrg1NjJ4NVmweZcQKDUcLM3DqardaHP/PFe764c8fW1QwOEPgKpWufa9TMW8aBuj6KTbosc8HSFVsvv4wX8iR/PGkjilSKCFxZZ9kaLGlvIUoBp0gKa7AC7lSDB5a/+EqDX/xAm7PLnhsLICeZW+UZSz8NLKue92rtLdbapFiDoSeYu1KM8te/5SCeZPNVIyXKz8tSxR2rim2YWorl9L0Q7h8L65icVL5gFNHYsnkm4Wd+sMNiV/Lhz7aglpRkSqbLsy+tiGVxApq0EMvirMOMoTPJYgBpXGIsS9ln8jqrXxFWlOSJzSdmWVlI/8yCxlqE9Ahj+XitXvtcnFT3acW03Xn563nmiS/fu7hiHh7HflrYPjmSuFg9oWzvyZSNy1OmVjOxzdPrma9dDSxt4YqIJO/WcXo7CyhT7V0zHDyl+aPPNjlz3i/AXSmkqkoTXWJvWWHvSXBfoER2jdcmKXsS25NMvypwnEQ4pdfXeG4oHJUqyMuvZ321JUelzOamYPFi3rgb5GmsIg4lm9clvPvb++y+aAxhxtjVdH7mrpCyaWggtCUmt4LYFqn8OB9cVFiLazF2xuyxTe3HzI5MUocmvbCYtAqyWVdoGT386c98+d5/8I7XVfa/njge6PouBJLhcC9ajNG5h11laTHB4BX2riR8TCkZVAo6RZXFRR48loGfpFrcMbc7SWKUbzh0WvMf3jfNnY/UoCZX6+4s712WJllPp5hk8KIUtlJFWGbskg7PgEvpZxOGStUjp3xCUEV1OWhM67+rr2e+eMkLh0Jz2yL5I0iDyzTAFCJjcZmurGDToNL9TKTBpzUWQ6rJjbNLk1HMq1844uff0+Fn3zfF4TOAl367vLy2/IU0CS4mMBL8LPuZNj24yVhFZlOVAk5J1ohc1d/l/W6FyOeIl+WjJy2z03Wuv3oHJkP8cwH8uhtfhZQqfPbRRUad8/heqfy1xG6k7O4K0+0E8xWypSiNLYAt8p7LUlBZBrdMUMK1XBXMbZAyQnuGo+c1//F/TfHxOxqEIvW7qVYJTnreWTnsZLFYvuQ0xeurXBI5CXaxip0nT4D/L7fyvHAHgsJRWV1pWJIpaRBXrBBRrLLgGD2VKTYFcgnkIvWcXf7QyZaatrzz2wYkBn72f05zbF4UiFkFcsgGfUblxoc0ODQp0WThszUiJ5c8mCwBvQBzmrWsBPPZorOQSNi0aTPf8e3fFsZxwj/7RgCfmprFD1r/dseOLVctnd7zyigcYrOVQtMTOGdtqN5XgNYhoQAAKuVJREFUGH0Ni1BMOimFWyJSeSLK8iVnbnevdcKxeY+f+s0pPvGlBqFMl14Ta+tukYE7Z+21WtHsKt19oTrwclp+bSfQASS3DP/ayK4GmxnYK2zOpCyxuRzJZo8Uo5eLZmJhJSKdhuU0d+GNZyRF1lqcMnkUWzyV8D2vG6IV/PRvTnNs3idfocqkH1TYCtAtkpiSJk+dFPdPBMqmQ/RL7knmrriRb0V8Y0pzUspXQYtrNG61WmzdvuurO3dc9G9XOr1Vu3RV4URQa9M/9/Hu3IzdNzsdJrUgwtOFHs6mtaqKKzJRNzKhvQs2L72uEiZru0Xl32VBZcri2nB6SfEz/3OKT9zRIJS6APcq5i7a0HzBBSVJzt4TwSYTwF61HN+EZVgAvqDzvw6+J/V4RZowKU0m9DfF0lLF0ieldH06EavsvBR/QxaTsazEWIW1Ki+ttUYRJwqdwDu+bch/fk+HzbNR4azYiaynTdLNYK0lTsttx1akJbdZltOl9StbSYvHFddEVHV4ukWJoB8JlmIvCVV9369+8Avdmen2NwY4KRvHUe89sZ150q1pWa4XKY9nKAWalalStrJNWoC53y1WS5OCtYuGYakSEg2/++kWH/9CgzCrW10F6qrn7aZTZSszFOxdDNCcZO9SFeEEYwCrmaTa1rOmRHkuoJddk1U/KIG/2u1D2vGTyZCSnbhmsFka/VaqT8lnjpfW/SlWkVA54I1VJIlEx/DO1w/4wbf00UmyGuRmwkpMP7jJgk8Doc2CT9Lgs1RLPmEpOtCX7g3EiUhPBAd2hGTzXPPJpZXee+wF9vGaAG9ufBcLyyqx+iobxe56JHM/PJscVa7DnnBKKqn21axeSJALpd+z34uRyiA0fPHeOh/9YoNxXhFYYu2JhE4uTUptaAWw0wAlq2JbyyUpP57YKvUmuQavLqha9VX+Gkw+udnyczHRqwlrOSd5G1uJxfPnGZuXmiOS3DPPAJ0+zp2VjNUFfmL57tcN+LaXDBGVmpXS40rjhDv7TArqcQnkBXBFweilmpaMtaNEECeCKKF0BXB7q1GTfNuLLrZTKk5+4gfesOY+1Rfa2Ru2v4UkCTl6/DhT/jFqvpvtJ6Rd88C5EspML5U0t7QViSImmFukCRxRCTRjl9TxEqSGv7ynzr/9zWmePRy4hmF5IWniEjqeIF80Kk/qUC4rKFmEGWPLwkmhAuqJRtiJjTXu/8plhGswdWWbCC6L3yutrZm9Rqq7KVq7REWLpxo81eWkfrjIAU16GmWr89jSCeseKxFz7e6Q//YvVvgJCZ/9WsPpcZV+4Sytn92MdccFiUE6i9MAMq0hEWmrG053GwEiHbmct34WCHNyMp04VtNw83Xr+m990y0fbdRr/NRkdJneLly8rGYscvp/zKy/dsUai6cTfM+1gul8xvak3i4XTJUbG0xhF14I3KLwu5WIkdqB+y/urvNT/2OKZ48ETnNIeQHNLQvPuyRN1krkZImoMmNPVhDKSVCvhexV4C4x+aS+eQ6gV9L1TGQu079bDi6NtRU9nmUxs98xJYYva3EzIV1sLldK8sRm3fqykC9W5RWIJlRctSPmvf+0w3e8fJBSajzB5JNbVs/r2DcvuU198risu21Zc7tWudAIxkYwSAT9WDBK3AlyywsuW9j7zNO/ccnObRdSKBdm8KmWpLf0/2vvS6PsKK40v4jMfPn22jeVpNJakkBg9hYSBmNAXhuDBxu3x23P8UJ7HW/jBXuOTdvHC/bp8W73eA7eGI4HG/lgaPcBY2NbaNiEWQQySEhoX0tVqr1e5RIxPyIiIyJfVqlKSAjoiXOe3nuZWU/vZX5x87v3fvfG1l8uWjj/i4N70FDKDSNi6Zo/8dDXgSczPrHcEKCGET3JBHcifRUdqOAS3LGhgM/9oIrNz+UluE0w0xS4RSWSJYO1Iif2GpdZNZb1URRSFzlRj2T1ZjI1+LXTmYlr61kfqLeYoUBw0+jXZzgZ0+FAcwGpJEbO7QkBDqFRoSyx8KoyhslvRsxvS6G4ARACKxeE+OqHhsE58LsNBWkU5bEqy5lhPjmoSMnLECLjgEtE91rZKwiyKZWIwgCS4ghqwxgHjRiKHWXMm9+L9tbqtPZj2vKTXGH+pONE7x/jzWN/fHwcDeUR+LlJWXhgOoxpx9EUUkkwq78hOmqidd5CW6KSOXAJ/v3+Aq7/XhWbd/g2uGk6U6lDgi7RVTrpnt5mljItibWa+6DecidhP7MsrY6PaDhkYTwL3Jk7TFADFheHxb1Nrq45OAxawgDtjCYRFqNYOeN12oqbBROiUEJY8jigOGNBiBs/MozXrZmQjqay2GnNStqSi4kp9OTa6Yw4QQw7uhIyghojmGDAZBgjnBjB2nP34ZXnl8ZA+fuXLuienA7D7nQ7B4YOspbGpRsH2D8M3/iroRLDHrzxgghh5MqyIproeFW5oY6JG5Y6xb1VAockDmUsOLcTgzkUdz2Yx6e+o2hJdozbtNzECAm6ZrW/GS0xinnN0GA63k1TFrk+FGj4mSZnz8byrEZmVEWIM7JBr6yylJIqS02MZkFM+kQJyKW6kIGBgIh/VQAaVJaHCevNAIAChDm6NtL8hgFw2oIQ3/yvw+Cc4J4H8ogBKYuVD5FVMh5Owss5SBIv5xAGSmRkxWAQN41QfgyiGG9eM4DPvI1g/oq1w8RfuHFs4lB9+nKmAKfefLg5cqR/YP8173jt3/2ZRAPeRCC6IQmnUnoVXF11U5ClhVNCZKUoSiz32eAmlIE5FPc+4uMT36piy65cNriRci5pfUjQhaE3SVSDGUmdZDKaVlo9pZr5ZEwGGOC2qiJmiXZLTZjeRgxaAl14jCRjyTWPN5xNi8LIGDk4B1FiKCMRJHTkegKAUySXN6mOFDSFcAdWRnwSOK0nxLc+PoQPR8CfH1Egn8kvFyCPjdOnDJCYsALcihnRnIuRWiMC58Kw6LnXVFubjgDlY/wP04z2ZooD+/dgzXk9+6687IznFnX3YGLCh+vKLq+SZ4uLKZ+Jmb63kzzagmtwUxKDOAzcJbjnYR8f+WYDtu70ZefXqeLctlPpkvq+gspCpyvl03HurNd1vNsIDyb/ZkZWuJrnBnGZOumTkqTYRcjQltpOz+twoMnLzep601qLvoJ2SNEqbbPoiAorUuM4asTElfPpwOy1wgKK3vkhvv+pIVx2QQ2OaojC46kfiOUMEpNQbTF9DiW64kzsrFIOPtmBgJ7xHCks3rd7924Qkjt+gAOA6zo4tO3mXdHEnmuqDdWnwngCQVSDQwOhI0g4iiEnNVP1MpVLpCNJjNg3JTEcj4G7wB83+vjYvzRg654c+HS0hJrUBLp4mGRJYDM6U5lgTqsGUf9a+4lG8XGd1VZDwj/Dt5wS5IYEwtKCa9Nty2jTkyJJAKmGqWbc3AC0wcUt/s2obiIEW3GYAN9YqlBt5wkfl9snKXrnhvj2J4Zw6QU10JgJks0zgA5mztjkPBgtEpNrxjmHhwCN/hgIJnDGyl4MjYTvu2Xdhl3ijn4M/B7rgPaObgDAn+96/1MFn/7zI5ubf/3snn689+8n0dXEUQscUUYE1SZCzEoFahUtoURybqJpiZOLsXvAwQNP5HHDj6vYujsnaikzwe2m3iPh3R7hkpbY1ESrArOoif3a3p9ROU/qG2lazXCyEDwbUs6zj+fGi6mtOdd0RlbZE3C97HbS14QbERTR34QBIhbOBB8H1fFymqrrBOMgxEmYKYU01JDx7BBYNj/Edz8xhC/+mOGhx/PY3U+AXJp/1Z9JLgszqaSahAAOJwgDjgWtw3j36/swONGJ889fct/Vr734QP9gDa1NhecPcDXi4n+GUy1gV/8T+NPGDXjdqiE05F3UAjeJhRMeJ9eVphxNK2tJYjh5hq37PHzjpgruvL+AvkEP3KPHALfuvqNarjlmttLQd2d2gLLAzLMzmZh+ImRZ9+QyTQnoKXZkgtrg2rAdSbUPSlprAV+CXdUuWrFzEV4DVeFCIXoiXHFdI0wowS16h4uvxyhAGBPgZ1xcIwPkjOmfQQNg2bwQ3/vUIO68v4Bv3FTFs3tzov+hGqqYGRDX1DhLFLpXjUs5PMYxpymHi5aXsXDJ+YgLxe/u3rF+W8+iS2aE2xkDfE5XL6rV6sZXrY5v76gMXtV/ZBv25SPk/RB+LgJxZYgPdhQleZiFDHmGbQdcfOlfq1j3hyJqsZOKc09huWVlgrbcMCy3zbenbJpJYKxjYwM/nbm0eHadVzlFhGV6pE+JcyvOrYCfWGVYgBcZP7GDE0VR7KofUdWjjs12PFXtp2pHASYiKkx2cVWcHhA5BrW6G8DqQB4bjieNgI7GGO943Th8j+Off1jF9n0+kDcsuQI5j8V15kLFKIICHHmHo+AC7SWOhlwBz/WdgUUrL7h9fs9pG+PJkRmf2xm3YVqxtAM0Htj16lee99GVvS13erkGjIx5CEIXcSxip8m1TTg3t/k2jeHmGLbv93DDjyS44YgVn2YIbmJYb0vjbXTXsiWxfEqn0tKYKICmwG2hOwVs/Uf269nB2wZ5HQ+HTVOSlyZNgVxu0ODdUzmVSkGoqIzZRF9lNrXKUDmgpvNpZD55PSdXFULRpAOfcVxz2QS++IFhLOqeBAJZhmNWA6n4uFFmTaUFz3scZZ+hUshjaLx655wF53/04MGRXW6+88QDHAC65nRjz85Hdy9ddtZT1YYOTIZMznB5Oeost1Fm5gjLvbPPxRd/VMFt90hwu1mqwCnADWGxPdhW21ECKrMyR9GQtBVHCvASlKpdrwnyqehLGsl1gE9NlBkBO72dp54tUBvRE7U9yW6aKX37c0zVoSmpNTti2RGWdPFyKvGTAXIl0uLcQRxR5DnHWy+fwA0fHEZPewBMRqmEkHotO1YZ505oUmLMm9uJ888/+6n1Gx7e3dU1c3ADs6AoalQaOtHYNOfGI4eeWzQ+ePhaxzmkG/QQXcCg2xpHcNwIIWd4aJOPH60r49d/KCIgEtwwEzfTW24X0CsQk+xspVluZoHd4OUJAFVUROE1ZeET8CYgJhm0RCM4y9ecDt9pCm4C1qQoKpsm+LXi4SpUKAt8FfUgyvLrY9RCxkz+B4RDtppQVIYnQi0iq2/AKChl4jhGBSWXPBzqiQFZdEXFySkhQBgj5zK89dXjQMzxw3VlPLYlj8mE0lAAEUCEkjFSunEOBBFDz5wW9C5ZcOuqC866ceeuvbOF6+wsOAB0ds3D1r/9cShXXvLujha+oVyMkHOF+Eqn4O3WDhOc42e/K+Gq/9aMW++RlThqpQW1ypnsPGU7lAa4iaDpQkhVv4Z8IoM1eDhJAZ5kbUvArsELYxIglfBJZ+b18eZsyYK2/T4tsEq/sa1ziqZw26Inm5M6MSRFDrblNh5Z8fKE7mToyQ2LfixLzrjoe8iYg5iLnuQeI7j28gnc8c0BvOsNYyiRSGrKQyOtzxBw0RpuIgTGIhcTrLDhnJU97153+91DCxfMnzXAZ23BAeDMc9ZitP/BceBNwcDun4NHo3Bdtfiq5NpOiJwfYoxx/PzOEv77j6sYHPFkt8sp0u5IW3KSzEIneVbSVzuhk5WGrxNUYYrXWVa7jpIY+1OW+ng4twVoknIu5Ws+xftEf6IseqoDFklNgAToUBEV6ddxgHMKzhiYI4qCGSPSoUTiYIIyUCZbsBEVrVFCO5qy5ASqPUjMRYsITkTnV0pjtFZifO0DQ3Aowy/uqGAsgHCo5DLjMQjGQMFijpa2Rlz3X94Y7B2m49dc/brjOr3HBXAA8MsrAM4ezjdedGEwdHsh503I1LxY1czzImw/TPDb9SV87SdVDI56IjupAK3WaTRBDhUG1OFAXTQsnMq0hTZj34Tofhnmx1iCqjSwMzh2feVOGuQ2V697/TyQz+veSwATYz4Y1CWhJYYmRbw2QZ4KOxIhuVV3AwJpwakxCbiudhefJ18zCi7X5gSlUuWtQc5loTeoiJ+LtTIJOGFCuxTGaCrG+PJ1w8i7HHeuL2FbH7SBA0XEGLyyh2tfc/bEhWctetihsyYayTjuv/T8BoDmPl9qW/vtXYNLaiwOQQiH60Xw/QAPPePgQ19rwud/1IT+MR/w5HLZxJPUxINuSp+uztHgzhE7YpIuP1MViXVOpMmpk8LoGQJagVPJZWFQGKRAn2XK0xZ+hkBPoifpkGGynaQsslYQJn+nVISW9Vb0oz7CYqbrbTpiHGNpxevpShKdSSIwDuJYachd0aqZeYhjD1HsIQhzaCwAX/nAML53/QBWrRgHgkDoysHgxRN4+xXNtfdce9G38773+ZamysxOYMY4dq5zmvHlL3+Vlxasvi+Iys781ujCit/nFPITeOBpB5/9QRP+9EgZMclpcCdrU6oWa6beRBUz1Ftul9j1lMmDGnoTalAWs3NV5pIgqe1SsGU2ABL7iXWs6PIlntXfWbFzojoyEVBi7iPWMdmlcFOHMLOUjqZuxvQT7MlLppjIars98ZE61py0JGMfMXcm77QZsMOWOkzJIRoP5VyOpfNC9M4LsGUXxd6DHgjPY9UZ3cEH3tx+Y2d5+5dbOi6Ing9Gj5uiqPGPF08EOb/n66NDfcHGrTu/9H83hfS29Y14/Fm5uoKTDgFKXofUWTXMntmJSnY8kZVRKX23Ya1VRU6ae1uNfNIASF04WNuIbalhR1Cykj36yBQArM+xubXlPKYt/RQJn6SwgcDIRkKk3JXKkGQkdRKaIptjUnWcGX40lkpRx0LfMVRCSAZTQEF0cIWr1sz6IcLH6lzKMDJjcrlxB24UY/XpEb7/iSH88t4Am3bk2PJFbV/aeXjF/3hkS3/wfPH5vPwjNX526y1oqBROf3Tz7ie+9dMHndGwJILVJMNprDMNxpeRgFSSV9ew3g7V1Tl1ikGV4Mmw1o6KnFB9LCEZ1ltydnN7nTWn2krbr02LTozjjcWSUlbfMW5Ydd/NXIw2tU291i2tZQTJfLYKTvR7ou5yqWUb7ZbYRis+ohWjVjmi2bSJ2KpRrSYF1CKu4hqb/XNUn0ot4fAcjtGJAAPOG+LI7X0F5WObly991/PG5vO24AAQ0hWo0aZn587r+OC1b2r80S/v+isdD6NE+UfkLVsZaQ6tHDNnmgK3Q1Ka7imWGbFUg2ngGpb8WLf+JMKXPIyb7TRce1o9ymxMh2GhlROr8nqcJ/hI2pmJHUY83LDopqVmhCTFDwwElGkBFuPG/2080yRtz2UqXZxH804gGmgKZ1NpZHSlGkkkBBkeszzPUqOkmj2RGGPjeeQbX8UWtp7+QbfY/SzQfyKgefxOpjne95ZzsLAjDq67dvVNl53tfPI15xSBIABxXHgORdElKLscFYej5HAUKZAnpgNpyF6BJAxoAtVsY0xhZygzqQipdy7rC4lTHBUa8LZUVt9tTB4L00BNNabZmS5yqNtvPNe1azOPSTuf0qHUykOSHMsync6s9zTFndMOK6b+29TnMkYRxQ7C2EUYuQhC4WiGkYcw9kBJgH1HO/Hg35o+6RbX3jQy4AaEzExMdaxxQiw4AKw6ewn6+vbG1171+u1jrHXk4e33VgaGJlF0xVqUqvUAAxFrq3AknUcTDQIMBxJm4qY+PKidrox6SnM7xRRW3KyAz7Dqxmdp0ZVJpMUXNij6iSF8KipicO+pjksa36s7Y9qKE6Ua5DrsB/maSYFWEhqUTYSoybttQVaSZTXeq5WHk3PA7S+teiKq5kKcK19GLE1DIw7qdGHRsrUjc93Lt/f17Y3b25efKFieOIADQD5fwObt0Z1XXbHmQ2Hgfvu7//tPzYNHh1DyRGyUc9FlICAAifUVNPs4Jv53lsVFOiXPM9SA9nGZMW/jeJoCtRWRMB1J4xpmJS3Nyh1zZYcZY95M4sAGq/o4nYq3E0PKohN5Sk2LnzCFRGJryGoVHQEElSE6wUOoUccpvxiRjisxJ5YEOkluZ7ppKADZdoIijkXoMIqpsg3w3Br8QgvchjcNlJov/liVj945HhZPJCRPLMArlRYAwMEjQze//eo1bi3mN6777Z/bJkYG4VCKiAG1COAhQWRyNMXNkHokfM2mHAm3Rr32JLHyxjH13JvY1jx1jAlMYsyKOioDfbz5O+wxM4jzrMMtAKs6WCAhuMQAcQI6UXyiLTIX/FtZZaOAWSw9KSIpjOsvQYmREeWi3TI3uLz4Gtq6C/wTOZl0uwkdvSGIY4ogdDEZilZwAEe12oiOrlf1ldsu+wxnwc2OP/dEwlH8lhP+iQA6WxsQh9FP3/3m1de/6dLT+joaKaoFjlIOKLhy4SBJUUKuHU5x3myRhubdBgjNbCXsNH2ammAqkNMsUNvOpQX2VCwwsZhThAIz32eNtCYlxcunKkbWVppYdiLN080mQLbSkGjuntKt1DURgtFPRSWXFMc36Ujqt5tRGMYpJkMX47UchkZ9HD5aRJw7v6/UcsX1LIp+6uaaTgYUTw7AAaCluYq77r73prkd5U+fddrcAd9laChx+B4wOEEwGADjsWjKGCkxEGxLVuckAnU0Y6pWx+n9unOVXinN+K/qki5iu0E7UkAjmWBOLec9g/PEzWPTkY0pjk0fqgt1iQV6XZicrsc0wGsB23AOrU5Y6rPtDGpSN2o0f0r4tQwBuk6Eoj+JSiFELXAxNOJjvEbBnPkDk1Hjp594bP1NXr7hZMHw+WUyjzVu+/UvceVVb95UqZT3EELWIhr1ly8kWNIzgAP9AQZHPXDZwzjh2CBWplJnJHW/ExUTtuLeGbFwO44NI0adAr+iLeo1zdhG7Fi4SXeo3JdkOtUkysxgkuyJad4xUvt19EYnn5K7jZydybyso1kk+Vv1B2kjYDoU+s5IkteaonFteIjh8Nf1gZe/gTIU8wGODE/it/fnsX1PI4LAQUfX3JFydc6HgoDdsvriq48RS3p+44Ry8KwxOckYaOHWZUvmRr09+Z/PadiaL5VH8eRWgj0HCoDnCqG7tLKmFTd5rqIidZbc4OdZjew1dSEZoLZBYTuidpHxtL0GyQy3TTUyuLsST5GsQ42YuCWXhXL6pNsn/z7h24pLJ9uIpIGmGpFKh5OlrLv2ghMdOreMNwAFetW1nMPPRTg0wvGrv5RQiGNcffmCmlfofG9nR2ndyEgwbdOeEzFOGkVR47r3vA3zO0hcbexZt3xp2zsWL+qqRXGEIPYAx4USiqkORlGK10nWZ1m3NBXJWqUh62FGZZLPTqyVbS3t/98cprXUlORkmSHFy9Pab7O0TbxVYTvjOEs0pT/DXHZQ9sS04t0sg74kawSpY1NnRl0HlaUEgJg5iCIPHiFgLERb1/yam299R3vrnHWbtoTx+WuuOUlnTY+TDnAAeO3rr8bZS/bEF1/29t+4hYZ3Prht5fizBxrRUqGoOhyOvDIxM9p0IQViGOrBDEus96foCdGp9GknAEwwEw1043ZPzBezNOjpMZsJYQHZvMVZAEw7kSav1tsY046l7o1Cku3M4uA28O0kjz3pVB2uo9ZTIkAY5tA3UMa8Zh8f/YfO8SW9re9cXLjyN3fdfyB+61v+0wsBvZPLwc3x/X9dh1e/qh3nrlr8t9VXFHc0+O7lZHI4D84RTgYIwwDC9XaQo6oVm6zcoQbfphmKwEyFoIqWENix85RFJ1ngT4URU5xbW/v09iy+nc3B67j3NLw8KwKUTDJzIhrJK+s1jIkL/fv03UrfidJ3SsW5be6tv4fwWeTiCG4Mz4uQ9wNEDDg6XMbAcAVwlw31zF3wT9dctePWe58+iI+8550vFOxeOIADwM9+/u/4zFdfizN6qk91dzbvX7G48+KOykjxnKW7AYziQH8OoDn4lMCXJZtOyrm05LGW0Kge4Er0lGnxU2CjqYuttgHauZR7pwH+8QN8Oscziz4R4/uqf0myQ51xYgPbALC513JiM3yb+u/CU9uFg+m5EXxvAo9tZ7h9fQm1yYXomnthv1+a97Fa1HxLbcDBZZe994WE3Ml3MtPjxs/9IwDg6NGhXxDquof3dHy9HB9q277vWfz9DVWMBjxppJmOiJj0wzz5lmbFAno9uGkWOM1Lnubp6g2HWUU3/ZiNg6kGn9nfybRLQg3qfIAU92EgsgcwAZPKLAqR/AE4KCNJO2+xkKU8Dxy6GFm9hpENheygRUS3WpWGHx7n+PgPmjE+vgxf+vClfaefveazQRj9olKtHvO3nYzxggNcjaamBoTB+E8W9l5ERvtHv1bbe0sbj4GCQ1B0BcjNMJVtVVL67wyKkW2x6/ebt2rz/Utl1AGbAGkpH5OTQmi3Rc6dUgPkKmWvspfgib5cZTOFaIqL8jOutShxrFtLBDRCxIAFnRW88qJL+96wds31QcR/cqrADZxCgAOAlyuC86Gbii2vjI7C/dbCuRubRgcGUXDFJYmYIRdNOXv1Fllb7Sxwi3C70mfbE8a03HWTyfyPT/Uw9CrE3AYC1UM8+a5JEadaPZgAVCbUVUpegVy1VQbAwI1WypBrbOrsJTcmDgfApfWuTQJhRNHc0oqvfvKKo8WWCz41MEF+Pq/txGpLZjtOKcABgJAG7DrIbl6+7NKBi84bWdzmB9/48/qHvKPj4sQp4HGl3kuAXK8BJykH1KIvae4LTVOAenA/rzFDumGfiOM/RompiAny5GuoKcrlMifSYsiGTZTyRFwFufw3k7FD1SNF0RVqRnDk1yGUYaJG0TfoY9HSNaFbDD/d23PpdkJzvyPk2M0xT/Y45QAHgJ5Oyh7b9MydH3/n2tz+vTvGz1mGH95z/0Pk3zaAulQ0hSSW1U2Xrikw2yA2q3Fsy01s7p2y3sAJAPkLORJRlhY8pRW3RPFqAsG1ARvkktYQBkloZP9Npqigin0r48LkHTHGX7fnWVPbau6Vln+4beGinw0c7g9aOlpP9VkR3/VUfwE1zj5zOQr0aLB0YffNr14977S53Su/8IqlHYhZhNGQIIjlFya63KsuJGhZbFWyRqyIiigfS3Fy2M4mMZEvx1ROXNY4nqTPbOaTeWwSEje0PFqrLR/MfIiYt1pwVb23+hSaD+N41abPdWP4XoAgDBGRBVix7PQvjPOe01y/8+ZNTx4JWjp6TxJKTu55fcHGN7+/Dg9sbXbe/HeHvzAxufXz371tv3Okz0FXFSj5HJ5j82gFXhP4YjFkDe6k4h1TOJNpfUDylqR4ueGgWgkko+6SEBkj1mHCrJrM+juN+XsgtR1pR7m+aX/dFeX128TvNVpsGLWaDgUcR61KbT7rkCAlgOfGKOZDNFVHMDoZYeP2s+JF3Uu+ctlryl/a88xYPH/F2041dOrGixLgAPCH3/8Wl699Ew73HfjKN3+x4ZPr79vke+Eg8k4Mz5Ws0hD6O5RArfBNqX5vtYQAptaUKG1zxilKR3BsXYsuMtaAN7YdN8C5PoZqKqZAb/kO9s+YshTOnBRJTkEB2tFAd+V7xemVNMChDOUiQ1cHRee8Myd5+Y3/UqnM+fwdd9yOK6+86lRDJvs3n+ovMN043D+AiSgHl8Zfe+pvz1146613UrDahUeODLicOAjlUjAOARyHwHUEcFxKQB3biidAM381T93iTZBbFl1zdrM/iqU4pCSj8n72ADettwn4TAueOl8KiErqoGs3tVm3I0sa1A7lcB39UBadMYLJgKA2yVCuNEUNVfeBM855LWtoWfwAZ/R66kSg7ouDb2eNFzXAzXHrr++A57mVkZGxH+/Yueutz+48SLftGUMhR+F7gOcSsSqAA7gOgeNIi+7YbR4SamIVDfAkLKaVc6kTVZf1JKlMqeb3xwNw3TJCW3CrlQU15an1ADf1IVkCK/071P8jLbgDAWrK4LqA64gWDp7H4HsxKAlweKgRfnEe6+ia/6t8vnRdHEcj5606vl6BL/R4UURRZjKufcuV2LZ9x4jv5z9ypG/xtrvWP7ZyjA5ctWvbs2itOqDEsbQaCtwWTTHCgsIJEw1wVMKDGBbcwngSpyQ6MmFMEu2UigTIrCMwJP05ert2gNPg5vbxRmWPEl4ljiXsfAIlolRNdIUQsXEzgcM4B2MMrjOOOXPngfR33t4+Z/VT3d1zvlOr1UY6umbf5fVUjZeMBTfHI3/bg2q13PPoY898e8vTW67a8vRmHB0cRs5zkPcdeA6B55HEkltpe+lpCnBzGUngiBkHY0DMtDW3akUTa0sMq5pq/KN4OLVpy7EsuGW9LQfQjBqZcf/U2p6GxFX8BiCORZQklhGSJLVvRZ8ERfFcjpwnHq4TgfAI+WIFS5YuRfe8RbdXW5d/LA5Gd7n5Jaf60s96vCQBDgD7DhyB53pLtm577szaxPhHH3n8mYuf2vwMxkZHUS56KPgUnkfhUINaUMOCcyCOOeKYIY6BiDFEMRKgJyuXwY6eJIA2ul3Vd7ZSIJ4ZRVGvbZpid7dykk5WmroYNls2wgSimMgHkuc4lllJ2BNJ/Z85j6PoM3hugEqljDlzl6K5fdn6YrHwnfaunk1xHG3z822n+pIf13jJUJT06O5qBYBtnPNtAJ4aHQ+6zn3F8v/55OYtSzY9+aTjeUDBFwsbMSYsnusIwKttIREyI8ZFggPcsOIsYSWJ1VReqmIsqoVDVgp9NjTFbA1BjIdW+UlXkejIhyq8Vn9FiCyLIkj03nEMhBEQReI3EYgJ6boC4EzevfI+R6ngYOHSc+Ou7qXbKIJ/WtC76gCArWTWfOvFNV6yAFdDXoCtfUf6t8ZR/Jp8we++5KJzb3v0rw9Uo9r+0oFDQ+gfclAqOMh5BDlP8PIwJkBNWHEqTRvjHHHMEcXQ/bOl1VZyRQFu0Z4BQLY+xNg+1ZhJNt+cLFa0xVEhRL1MFaPCP4gZEEImcbgA90SNIYoZCCXwXHFXKRSBvqMhQlbEvJ55Y5dcsmbYpeE1Tc3z9lHq7HqpA1uNlzzA1WhrbQFjbFdHR9uewaHR0xvKZFW5EP6vR594Jnpg465mByOVnMuRzzGUCmJVr90HhbVzHZ3ZCyKe3NLVcBzhjLnSOUvGdCg1tmdiJasOE1NnQQmU8yzDeFTHyYXoSSj9IuYIesLEvpgzHD4aII4ZSgWKQt6F63hob2saWdi7YKCpbbHbUHLfN2fOggf9fGkIAHu5gBt4EaXqT8iPoRSEEJajI0fndHXeXSqXe3//+58ufve73vaV1avO3dzZ0fZ4W0u5tqAbaGrcj6OjwwhCjkrZQaFAMTzOMTLOUQs4JkPxCCKOMISw6swOu9V3edBZz+MaGegmxgsV3nMd4RD6Xgw/FyOfi5H3Y1RLERpKk5iYjDA0IsJ9jeVRHB4dxPBkDp5frrW0tD2+4vSzNl9y2TVfuf13v1pcqVR629o7795/aOgoIeRlBW7r/L1cx769u+E4Ltn85EMo5l2nUin+kPP+3pt/t/Wi7dvGnQVtMZb1AAcGjuA39wE+yaOc1zoOSgDPAfwckM9R+J64zavwo3ImhSNIE6cznb63Y+P1aXnl8CmHUi1lZEY7ci6H7zMU/Qh+jsFzY7GejlyBoVQI4DhH8X/u8TEw1IGVS3I4axkHLXnxrr4zNzSWq1trtfEPEh7Fl1y8GlEU8XnzXjohv+MZLxuKMtXonjsf0LYx2rJj4Lqc7zdde9Wqr973lz/kRgYPxr2Lc+dUmp1z8xuPggYRci6wu98BpQQeJSj4Ani+Z5TKUW0bkpYK0Mkks2kQMA0/N1ov1MXe5TYWC8+RyWSP5zGUCiF8LwKlESjh2L4njyhiaG/30NA2F5O85a/lUvSoX+l2zlu1Ori02Pg5IDhKSNepviQv6HjZW/BjjSN774FL6cU7D42t3fDo5DUej5YV/VHc8vtN2Lkvh4mJMURRjLkNFHNaHbQ05JDzKDjniGIRSqQUIvbuUjiODg0ChhWXYUWxTU8UK3oiM7Gey+G5QoLAuaBHnBP4OY6G8iTam0bR0TIIx6Fw3RL2DnD0j61Gd3sD2lv5ls17y7cNDFV/Tylf/663XHKqT/EpHS97C36s0Tr3CgBY398/sP7t83FfzOLFHjnEthx4hvV0L1q4srfy2Xsf3o2mfAm5+DByZBSlAkf/UIwgFEkUxwEoEd0AHEcUaTAmy77A4RAiwpOQoTluVyNxLqIfPBYdenIuhycdyTgGRsYZ+o8yFAsEDQ0NmDO3C36uDyNRLzx34Os7+vbvOO2Mi+iyBe00l3O3d/Tg7kql8VSf2hfF+A8PcDVaWpoB4G71nvODAPKNe/btfGAyBIKgHJ656LSPl4v0Ct9jONwf4u4/bcTQ0ChcSuDlHDRUc3BIjJGxGqKIoxbE4BxoKLvI+RRRzDE6IUJ25aKLoi/APhEQRDEH4y7cUg7FAlAtMXhODL9QxsqOc3F0hCDvUzRW6D3NrX3fGg8avWDyQgTOkvVnnDM+eMGZLaf6FL4ox/8H+BSDkE4AGARwBwAcPHgQAHmG0rjDdRhrGwzwlwefxtBITWheXBcELDz/vHNuOHRk+I1hGIWj4wxhxNDe7KG5AZgMgANHGIIwRnPVQ0cLEITA0CjgeZ5HnMK/bXn6iRtyOd8TTiTQUC1hydIVmAgduA6l+Zx7CMCORe0dp/oUvSTGf3gOfiLHpiceAiXo2LHrYEMYhnxsnGEy5OhodtHSCNQCYP/hGJMhQ3ODi65WoBYQDI5wFPI+KVXahgB+6KI1F57qn/KyGf8P49jKahiGZuoAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTc6MTk6MzcrMDA6MDDVLw/QAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE3OjE5OjM3KzAwOjAwpHK3bAAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 52200343
{'hecke_orbit_code': 36029552966763172, 'n': 1, 'trace_an': 16}
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id: 52200344
{'hecke_orbit_code': 36029552966763172, 'n': 2, 'trace_an': -4}
-
id: 52200345
{'hecke_orbit_code': 36029552966763172, 'n': 3, 'trace_an': 0}
-
id: 52200346
{'hecke_orbit_code': 36029552966763172, 'n': 4, 'trace_an': 6}
-
id: 52200347
{'hecke_orbit_code': 36029552966763172, 'n': 5, 'trace_an': 12}
-
id: 52200348
{'hecke_orbit_code': 36029552966763172, 'n': 6, 'trace_an': -10}
-
id: 52200349
{'hecke_orbit_code': 36029552966763172, 'n': 7, 'trace_an': 0}
-
id: 52200350
{'hecke_orbit_code': 36029552966763172, 'n': 8, 'trace_an': -10}
-
id: 52200351
{'hecke_orbit_code': 36029552966763172, 'n': 9, 'trace_an': 4}
-
id: 52200352
{'hecke_orbit_code': 36029552966763172, 'n': 10, 'trace_an': 0}
-
id: 52200353
{'hecke_orbit_code': 36029552966763172, 'n': 11, 'trace_an': 0}
-
id: 52200354
{'hecke_orbit_code': 36029552966763172, 'n': 12, 'trace_an': 0}
-
id: 52200355
{'hecke_orbit_code': 36029552966763172, 'n': 13, 'trace_an': 0}
-
id: 52200356
{'hecke_orbit_code': 36029552966763172, 'n': 14, 'trace_an': 8}
-
id: 52200357
{'hecke_orbit_code': 36029552966763172, 'n': 15, 'trace_an': 0}
-
id: 52200358
{'hecke_orbit_code': 36029552966763172, 'n': 16, 'trace_an': -2}
-
id: 52200359
{'hecke_orbit_code': 36029552966763172, 'n': 17, 'trace_an': -12}
-
id: 52200360
{'hecke_orbit_code': 36029552966763172, 'n': 18, 'trace_an': 6}
-
id: 52200361
{'hecke_orbit_code': 36029552966763172, 'n': 19, 'trace_an': 0}
-
id: 52200362
{'hecke_orbit_code': 36029552966763172, 'n': 20, 'trace_an': -20}
-
id: 52200363
{'hecke_orbit_code': 36029552966763172, 'n': 21, 'trace_an': 28}
-
id: 52200364
{'hecke_orbit_code': 36029552966763172, 'n': 22, 'trace_an': 0}
-
id: 52200365
{'hecke_orbit_code': 36029552966763172, 'n': 23, 'trace_an': 0}
-
id: 52200366
{'hecke_orbit_code': 36029552966763172, 'n': 24, 'trace_an': 14}
-
id: 52200367
{'hecke_orbit_code': 36029552966763172, 'n': 25, 'trace_an': 0}
-
id: 52200368
{'hecke_orbit_code': 36029552966763172, 'n': 26, 'trace_an': 0}
-
id: 52200369
{'hecke_orbit_code': 36029552966763172, 'n': 27, 'trace_an': 0}
-
id: 52200370
{'hecke_orbit_code': 36029552966763172, 'n': 28, 'trace_an': -24}
-
id: 52200371
{'hecke_orbit_code': 36029552966763172, 'n': 29, 'trace_an': -8}
-
id: 52200372
{'hecke_orbit_code': 36029552966763172, 'n': 30, 'trace_an': -42}
-
id: 52200373
{'hecke_orbit_code': 36029552966763172, 'n': 31, 'trace_an': 0}
-
id: 52200374
{'hecke_orbit_code': 36029552966763172, 'n': 32, 'trace_an': 26}
-
id: 52200375
{'hecke_orbit_code': 36029552966763172, 'n': 33, 'trace_an': 8}
-
id: 52200376
{'hecke_orbit_code': 36029552966763172, 'n': 34, 'trace_an': -14}
-
id: 52200377
{'hecke_orbit_code': 36029552966763172, 'n': 35, 'trace_an': 0}
-
id: 52200378
{'hecke_orbit_code': 36029552966763172, 'n': 36, 'trace_an': 6}
-
id: 52200379
{'hecke_orbit_code': 36029552966763172, 'n': 37, 'trace_an': -8}
-
id: 52200380
{'hecke_orbit_code': 36029552966763172, 'n': 38, 'trace_an': 0}
-
id: 52200381
{'hecke_orbit_code': 36029552966763172, 'n': 39, 'trace_an': 0}
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id: 52200382
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id: 52200600
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