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mf_newforms • Show schema
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{'Nk2': 180, 'analytic_conductor': 0.3593268090957617, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': 1, 'char_values': [45, 12, [11, 37], [2, 3]], 'cm_discs': [], 'conrey_index': 2, 'dim': 16, 'field_disc': 2319475750231496196096, 'field_disc_factorization': [[2, 24], [3, 12], [127, 4]], 'field_poly': [1, 12, 72, 288, 502, -432, 144, -102, -93, 132, -72, 18, 34, -36, 18, -6, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 755947798573, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0], [1, 1, 9, 4, -1, 6, 0], [1, 1, 45, 12, 1, 12, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '45.2.l.a', 'level': 45, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '45.2.l.a', 'prim_orbit_index': 12, 'qexp_display': 'q-\\beta _{5}q^{2}+(-1+\\beta _{9}-\\beta _{11}-\\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': '45.2.l', 'trace_display': [-6, -6, -6, -2], 'trace_hash': 418696286611927058, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.799', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 180, 'analytic_conductor': 0.3593268090957617, 'char_conductor': 45, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': 1, 'char_values': [45, 12, [11, 37], [2, 3]], 'conrey_index': 2, 'cusp_dim': 16, 'dim': 16, 'eis_dim': 16, 'eis_new_dim': 16, 'hecke_cutter_primes': [], 'hecke_orbit_code': 755947798573, 'hecke_orbit_dims': [16], 'label': '45.2.l', 'level': 45, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 32, 'mf_new_dim': 32, 'num_forms': 1, 'prim_orbit_index': 12, 'relative_dim': 4, 'sturm_bound': 12, 'trace_bound': 0, 'trace_display': [-6, -6, -6, -2], 'traces': [16, -6, -6, 0, -6, 0, -2, 0, 0, -8, 0, -6, -2, 0, -6, -8, 0, 36, 0, 18, -12, -10, 18, 0, 4, 0, 18, -16, 0, 30, -4, 30, -12, 0, 0, -48, 4, -30, 0, 6, -24, 6, -2, 0, 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0, 276], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 8835337
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 32, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947798573, 'target_is_minimal': True, 'target_label': '45.2.l.a.32.1', 'target_level': 45, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 8835338
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 17, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 824667275399, 'target_is_minimal': False, 'target_label': '135.2.m.a.17.4', 'target_level': 135, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 8835339
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 257, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9012147090621136, 'target_is_minimal': False, 'target_label': '720.2.cu.c.257.2', 'target_level': 720, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 8835340
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 68, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504630453076193, 'target_is_minimal': False, 'target_label': '225.2.p.b.68.4', 'target_level': 225, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 8835341
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 23, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947798573, 'target_is_minimal': True, 'target_label': '45.2.l.a.23.1', 'target_level': 45, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 8835342
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 32, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504630453076193, 'target_is_minimal': False, 'target_label': '225.2.p.b.32.4', 'target_level': 225, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 8835343
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 2, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947798573, 'target_is_minimal': True, 'target_label': '45.2.l.a.2.1', 'target_level': 45, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 8835344
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 242, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 343630938517, 'target_is_minimal': False, 'target_label': '405.2.f.a.242.8', 'target_level': 405, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 8835345
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 242, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630938517, 'target_is_minimal': False, 'target_label': '405.2.f.a.242.1', 'target_level': 405, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 8835346
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 62, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 824667275399, 'target_is_minimal': False, 'target_label': '135.2.m.a.62.4', 'target_level': 135, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 8835347
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 368, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099545182883, 'target_is_minimal': False, 'target_label': '675.2.q.a.368.1', 'target_level': 675, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 8835348
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 98, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 824667275399, 'target_is_minimal': False, 'target_label': '135.2.m.a.98.4', 'target_level': 135, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 8835349
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 557, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099545182883, 'target_is_minimal': False, 'target_label': '675.2.q.a.557.1', 'target_level': 675, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 8835350
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 113, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9012147090621136, 'target_is_minimal': False, 'target_label': '720.2.cu.c.113.4', 'target_level': 720, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 8835351
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 497, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9012147090621136, 'target_is_minimal': False, 'target_label': '720.2.cu.c.497.4', 'target_level': 720, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 8835352
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 218, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504630453076193, 'target_is_minimal': False, 'target_label': '225.2.p.b.218.4', 'target_level': 225, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 8835353
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 143, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099545182883, 'target_is_minimal': False, 'target_label': '675.2.q.a.143.1', 'target_level': 675, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 8835354
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 323, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630938517, 'target_is_minimal': False, 'target_label': '405.2.f.a.323.1', 'target_level': 405, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 8835355
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 323, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 343630938517, 'target_is_minimal': False, 'target_label': '405.2.f.a.323.8', 'target_level': 405, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 8835356
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 182, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504630453076193, 'target_is_minimal': False, 'target_label': '225.2.p.b.182.4', 'target_level': 225, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 8835357
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 332, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099545182883, 'target_is_minimal': False, 'target_label': '675.2.q.a.332.1', 'target_level': 675, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 8835358
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 38, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947798573, 'target_is_minimal': True, 'target_label': '45.2.l.a.38.1', 'target_level': 45, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 8835359
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 8, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 824667275399, 'target_is_minimal': False, 'target_label': '135.2.m.a.8.4', 'target_level': 135, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 8835360
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 32, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798573, 'source_is_minimal': True, 'source_label': '45.2.l.a.32.1', 'source_level': 45, 'target_conrey_index': 353, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9012147090621136, 'target_is_minimal': False, 'target_label': '720.2.cu.c.353.2', 'target_level': 720, 'twist_class_label': '45.2.l.a.2.1', 'twist_class_level': 45, 'twisting_char_label': '180.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 150025
{'charpoly_factorization': [[[1, -12, 72, -288, 502, 432, 144, 102, -93, -132, -72, -18, 34, 36, 18, 6, 1], 1]], 'hecke_orbit_code': 755947798573, 'p': 2}
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id: 150026
{'charpoly_factorization': [[[6561, 13122, 13122, 7290, 2430, 972, 1134, 1188, 819, 396, 126, 36, 30, 30, 18, 6, 1], 1]], 'hecke_orbit_code': 755947798573, 'p': 3}
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id: 150027
{'charpoly_factorization': [[[390625, 468750, 250000, 75000, 13750, 3750, 3400, 3150, 1831, 630, 136, 30, 22, 24, 16, 6, 1], 1]], 'hecke_orbit_code': 755947798573, 'p': 5}
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id: 150028
{'charpoly_factorization': [[[2401, -2744, 1568, -5124, 1850, 3356, 424, 990, 283, -216, -32, -62, -10, 12, 2, 2, 1], 1]], 'hecke_orbit_code': 755947798573, 'p': 7}
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id: 150029
{'charpoly_factorization': [[[4, 36, 128, 180, 102, 0, -10, 0, 1], 2]], 'hecke_orbit_code': 755947798573, 'p': 11}
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id: 150030
{'charpoly_factorization': [[[4477456, 389344, 16928, 797088, -989488, -289648, 49504, -85560, 223084, -24216, 2128, -2228, -376, 108, 2, 2, 1], 1]], 'hecke_orbit_code': 755947798573, 'p': 13}
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id: 150031
{'charpoly_factorization': [[[16, 0, 0, 0, 832, 0, 0, 0, 6504, 0, 0, 0, 964, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 755947798573, 'p': 17}
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id: 150032
{'charpoly_factorization': [[[324, 0, 1836, 0, 864, 0, 60, 0, 1], 2]], 'hecke_orbit_code': 755947798573, 'p': 19}
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id: 150033
{'charpoly_factorization': [[[62742241, -143813676, 164820168, -125930016, 65763382, -21955764, 3946176, 340374, -477093, 128484, -19008, -6, 3034, -972, 162, -18, 1], 1]], 'hecke_orbit_code': 755947798573, 'p': 23}
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id: 150034
{'charpoly_factorization': [[[981506241, 0, 542492964, 0, 231985242, 0, 32243184, 0, 3205683, 0, 147312, 0, 4890, 0, 84, 0, 1], 1]], 'hecke_orbit_code': 755947798573, 'p': 29}
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id: 150035
{'charpoly_factorization': [[[676, 3692, 19072, 6068, 2074, 200, 46, 2, 1], 2]], 'hecke_orbit_code': 755947798573, 'p': 31}
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id: 150036
{'charpoly_factorization': [[[4, 56, 392, 1340, 2308, 124, 2, -2, 1], 2]], 'hecke_orbit_code': 755947798573, 'p': 37}
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id: 150037
{'charpoly_factorization': [[[32761, -33666, 7550, 4092, -441, -264, 26, 12, 1], 2]], 'hecke_orbit_code': 755947798573, 'p': 41}
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id: 150038
{'charpoly_factorization': [[[11316496, -3902240, 672800, -2680992, -1085200, 1045808, 21472, 183048, 213388, -15096, -464, -1532, -400, 60, 2, 2, 1], 1]], 'hecke_orbit_code': 755947798573, 'p': 43}
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id: 150039
{'charpoly_factorization': [[[33243864241, -15415187634, 3574013058, -552423564, -255703838, 83612562, -6690816, 3723372, 1113267, -350922, 34848, -11508, -1826, 288, 72, 12, 1], 1]], 'hecke_orbit_code': 755947798573, 'p': 47}
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id: 150040
{'charpoly_factorization': [[[409600000000, 0, 0, 0, 132589551616, 0, 0, 0, 104540160, 0, 0, 0, 20032, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 755947798573, 'p': 53}
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id: 150041
{'charpoly_factorization': [[[592240896, 0, 1944933120, 0, 6232429440, 0, 501282432, 0, 28916784, 0, 756000, 0, 14376, 0, 144, 0, 1], 1]], 'hecke_orbit_code': 755947798573, 'p': 59}
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id: 150042
{'charpoly_factorization': [[[11449, 29318, 64162, 27092, 9415, 956, 118, -4, 1], 2]], 'hecke_orbit_code': 755947798573, 'p': 61}
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id: 150043
{'charpoly_factorization': [[[539415333601, -686070844370, 436299428450, -300113128236, 171721343210, -54722745634, 14192591128, -3975597636, 599752603, -12674142, 502984, 31204, -27850, 900, 8, -4, 1], 1]], 'hecke_orbit_code': 755947798573, 'p': 67}
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id: 150044
{'charpoly_factorization': [[[128164, 0, 43580, 0, 3972, 0, 116, 0, 1], 2]], 'hecke_orbit_code': 755947798573, 'p': 71}
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id: 150045
{'charpoly_factorization': [[[270400, 29120, 1568, -9472, 16384, -584, 8, 4, 1], 2]], 'hecke_orbit_code': 755947798573, 'p': 73}
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id: 150046
{'charpoly_factorization': [[[1737217064964096, 0, -95814503755776, 0, 3389951831040, 0, -73485107712, 0, 1169408448, 0, -12312000, 0, 92928, 0, -372, 0, 1], 1]], 'hecke_orbit_code': 755947798573, 'p': 79}
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id: 150047
{'charpoly_factorization': [[[13841287201, 71183762748, 183043961352, 313789648032, 342486827410, 204350665848, 78625297296, 21779149266, 4574200323, 745444644, 95661720, 9726150, 777886, 47916, 2178, 66, 1], 1]], 'hecke_orbit_code': 755947798573, 'p': 83}
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id: 150048
{'charpoly_factorization': [[[3969, 0, -49356, 0, 8262, 0, -300, 0, 1], 2]], 'hecke_orbit_code': 755947798573, 'p': 89}
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id: 150049
{'charpoly_factorization': [[[6146560000, -10712576000, 9335244800, -7398881280, 5125458944, -2379530752, 815938048, -245889792, 63795904, -13214784, 2334592, -369728, 46976, -4560, 392, -28, 1], 1]], 'hecke_orbit_code': 755947798573, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 1, 'label': '45.2.l.a', 'level': 45, 'portrait': 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cIa5qYM6yYTljoBnYFgGHss9wUbJw2LbcOJ84qa57NxBrbOhWyYHbJ+dsTG2RFbN1i2b1Rcuc2jrpocPTHB1572efRAzJPHIxLV5Zte2uatt1nqapYDx6c4ekZz+kLCuRTchxYsN189z8991zLbZic5Mz/FheUai23NUkfS7iZ0+wndoeDA0QUOnFi58rEDF152+NS5ncdOX/jCi17zLeF9t3/0+YbE3+j295rBl5fbDEOLVrzr3scO3/bTv/EX8h23Hb7t37z1jJ5f2sBCe5LFlRpLHZ+ltmapA0vthKV2xFI74ewKHF4QzM2t8J+/Z5FbLmtw8vwMZy40ObOgOb9oObcQc2o+4UI3ZmpmyEuu7fGiK8CXdQIVcH6pxtkFzbklQX8EcWyo+YZmLWF6MsYAx8/FdHqwY4NHsz7CWgHCpzcwbN84YnFFg3VSZKUHoxgslqV2yJb1Ht2BQiiLMCMmah7bNw1Z6QuOn9EkRjM7IWnVBIEHcSzojyTnliRnFy3nl2OCYAhezK1X9bjtasHcRJ3F5QlOng84swDnF2LOL8WcXoLDi5abrlrgF79nmY1TE5w4N8O5hTrzKz4LbcnSSsJyJ2Klm7Dcsyx24WRbsLjY5df+7TD+ztfV7vNmftR4zSvvE5ifsXgEtYnnGyoXvf29ZfAPfugveeEtN/CT//7f/dKHP/7lf/u+D33p0r3H2zsPnu7Ll1zTZfdmQ5xorJVgJVgBSEAiECAsWlgCCWeWajxwUHHt7iWu2DakUQNPS3xP4fuaZl3S8CT9nsf+YzXufNTn+IURnThi/8kRG2aXeNNLlrn20i43XdHm2ELMQl/QCIYcOWNpd5pcc4lkZZiw95ii1dA8cxwu22wZhgnDxEfriOkW7DsZoHSCJ2O0B4OR5JYr+gz6kmsvTegMEo6fabFro6LZCFkZWdZP9VnudfjIl+HxowlPHh2yY/Mi1+3pMD0T8sZbu3zLyy27N7ZIoimOnp7k8CmPk+cMpy5EnLqQcPiC4MRKxAsun+c/f0+XDVNTnDw3w/lFB+7FtmS5ndDuRrR7CSs9y1IPzvUUC92Ym69Y4MfePC8DKXaeO3tyV7+fvLA+saveaE5/8f57PsV7/+DPnm/IrHn7e8ngf/nxT3DdNTvU3ffu/U9Hj5/72UeeOqrOzIfMDxSn+pZrtp/n1350nut3Nzi3OM3iSoOlTo3ltsdSR7PcheV2wnInZqkbs9CGk8sCXR/y4quX+NaXh+xa32SlN8GFpTrzSz4LbcFS20mE5a6hMzB0Rpb+MGZ2ImL7BgMIAs9y6oKHkAE71it2bbZsXt/n/PKIJw62uPEyS6O+zNOHZmg1Q8LQY3baMBjClduHfPDLU+zZFjMaWdZNSqJkQKsW8MyxIXWvyfWXxzx5JOT8os+W2YBdm2D7xhClIk4tgO9ZhLDs2BAz3ZJ0BwG9vken77HUUSytwGLbsNROWGgnnGvD4jBh+5Ye3/qKBV58habmTXB2YYKF5RoLK5rFjmClbVjpRqz0Ela6lsUenOsqzq3E3LLnHO/+0UUu3dxicWWCxZU67f4ksrY78Rsbf2mQXPKLvjiTvPb1b36+obPq9vcK4AcP7icIavWzZ09vf+aZfe88duL0f9134CS9oaAzsCz1Bed7itOdmBsvOc+v/ugi111S58KSA/lyt8ZSx2O5o1nuQLtrWOnGLHdjljqW823BmZ4F0eOtL23zxlsMl2yqEYYNlts1Vno+7a5iuSfo9gXDkSWMLUkCSloCD+qBZWrCsn4mQntDDp8NeepQgImbvP6FIdpb4ZG9k+zcBJ97MOal1wRcaA+oaUWcRMxMQxx5aC9mcbHBS27o8Ln7W+zaBA8fHOHR4HW3GGIx4KnDCUdP1dDSZ8O0ZropqAcC3xcoAbGBMLIMQ+j2LSs9Q7dvWOkbFnuWQZKwY2ufN76ozVtvC8G0WFyZ5MJSncWMDNqw0k1o92JWuo65l/twtqu40Em46bLzvPtHL3DVjjrzS9MsdxqsdGssdzwW2wK/voV6a8N/3Lnr8j/ftm3rieFwOLj88j3PN5Ty298bgB88dIh16+b8w4cPft/Rw4fe89RTT4mlla7sDRK6A0O3b2kPLCt9wfm+4kw34pZLL/DuH1rkhktrLKxMsbDSZKUTsNL1We5qVrqCdte6Jbcb0+4ZlnuWC13B2bZheqrPN9zU5dYrYnZsUEzUPTrdGoEnAUUYZ4Er9IeAMEy3hhw8bTE25I6Hm4z6dS7d4vPia/tEZoW7H53i+ss8Dp7r0V6e4EXX9vniIwEbZix7j1t+/C0d9h4L2DAjufNRxYuvVCz1Oxw5OcP1l4fc/dSAeNTg1qt8dm8bMoh73P6IgkRw+JRmoqHRAvoDibGCxFiiGJAG7RvaPUuzFbFt04jbruzzDTfGzDZrnF+aZHGlznLHHZvljqDdg3Y3pt2LafcS2n3LUl9yritY6Ma8cM88//WH5rluV4355SlWug3a3YB2z3cZ4J5ipWdJbM1cdfW19tJLL/2x3bsv/cOFhflw9+7Lnm9IAX9PAB5HsRyNBm/66t2fv7Tbj3/loYce8kAQxTAYJfQGCb2BoTc0dAbQHggu9BWn2zG3XnmBd/3QPDfu9lnpTDK/3KLdq7HS9VnpadpdRbsP3Z6l04/p9Ny/1e5b5nuC+R5EyYjrLhuwcSah17e84UUjdm40xIlES0sYwV1P1Dhxocam6ZinD9fANLhiq+KGPYag1ueRg33mF5pcvbPJxNQy9z/pcfNlNRb7KywvT7Bxo+XBvYrvfFWPh/Zqtq73WOi1WV6a4YYr+9z/dMJMfYqrL+1xod3mwWenqOsmN+2xXL59CLLHE0cF62cizs9H3P2ExzBSSAmJsezcFPINLwrp9hSbpw03XAZh2GCp3WCpHbDS8+j0Fe2epNODTj+h03NuSadvWOlblgaS0x1BezDixZfP84s/uMxNl7mLY6XToNMP6PQ9Oj1Nd6DoDiT9gTtHSWK5/oabImvlT775zd90qFGvf1p7nnm+sfW8ZzJHwz5h1P+eo4ce/bXzZw7OnLuwxERTEccCKSzGWIzJUvICcBpUiAQpNQ8f3MDPvFfzltuW+LZXLbFrS8i5xQkCv0498GkEHs26pluXtAYek01Nf+gumg0jw2Bk6Q4DluZrnDppCWPD6XMxQeD+nq8sWgr6A4XAI+5rXrBTsHuzZfuWPqOky+cfUuw7NM1rbwy44cplPvB5iy8a7NzS58n7FVumFOsm+tRUnTDyuNCFZk2zdYPg8X0hN1xe5+XXL/BHnxngey1e80KLF/T50oMhn3ugybNH61yyucHOTQlz0yG71kVcszNBKYNWFrA0goC5qYAw8uj2fZ4+6NEbavoDRW8o6Q2gN7T0+u67dwcJvYGlM7CsDGC+rzi/bGlMtvmJN8zzT24dcd2uJmcXJmj36nR6Pp2BR6+v6Q0V/aFkOIJRZIkTJ5Xuve8hrzU5/Wsz6zYsveTFt/ybXrf/R81W4/9cgIejHgh+8PThr73rwNNfmQkHXVo1j5GWjEJACGxu9LhHgUUKd9cywZeSpw7N8djBJgfPXOAtt/W47aohU60JltoNmp0aEwOfXt+xTm8oGQw1/ZFmOLIMQ0MYWaLIEifuHsY+1oBUAk8Lar5gqiWYbsHGdYatG/qsm27zhUfgnsc8pJnktTd6vOCKLvc+GxEOJ3jxCwTtwYALi01uvdywbqpPXQcMY8V8J0IZwQsu1zRaIx7dX+NlN0zyouu6PLpfgZ3kxqt8fuCblvji4yF3PtRk74ka2+cUG2fqTLcaTLagHoCnLUqCsbD3qCBJBFEsCGMYRbjvOEoYjAzDkaE/NPRHht4AOiOY70kudGFkhrz6+iXedFub73iNIY4nOLfYpNOr0+37dAea3kDRGyp6A0l/6P7tUWgYhYYwShiGhnOLZzhz/vMz3UH8/77p9S/X3V7/fa3m8wfy5w3g4WgJKc0PnD9x97vOHv3Sei36TLV8hqFBh6CEaxiQQiCEAiEQApQ0SOmyiFpZtDLUPcF8v86Hv7yVLz3W4aXXrPBdr17hml09ZqcaLK406A4C+gMvBbZy91AwiiRRLIhjt9S72i0XVGoNNR8adcNMK2LL+j4xPQ6ejvjI3TWOnGwyFdS5+SrNrdd2ePBAmzu+NsELL6uxfVOfD35ZoETARCtipTfCWFAC5ib6dLo+Jq7zppde4MOfa7D7fI03vrBPGC1y91OzREmNW65azxtv7nDZtjZferTPkycbPHHUZ+uMZGZC0AgEvucuQilACIuxYIwlitOLNbKMInchD0MYhNAdCpZHgqUuCD3k+j0rfNc3rPDSqxJmJ+osd5q0OzXn0AzcStAbONbuDyWDEfRHluHIMAqTHOSjyBLGiqVzbf7kI3eu7w1511u/8SX23IWlP9i4fub/DIDb9s/T6VxGsvLh7+0Ool9pn9u/zhNdJho1tIpRyulKKUBKgZQSIQRCSJTUKJkgpUiXZ4OnLIG21LRgeahYbE/z0buaPPB0jxdft8J3vWaF63e3mU3qxHFAf1ijN/AYjDRhpIhiSZxIEiMwVuQrROAbGrWYwA/xvRGnF0d85mHJoVM+R09No0zA7k0+V+5S3HhFBxXM89ThFlumGlx9CWycW2apM8E1WySxsXzhoYBRXzLVjHndLUM+fXfEiXMt9lzqcXZlyDNHPLZtmOa6XfPc+2SX+58RjEKfK3bNcMW2gCu2djl8dolDp+GhfQ0OHmnS0IJAS5qBpeaBlKmIs+5ijRMIYwgTQW8k6AwFnQhCE2PskJsu6/Bd39DhpdckbJoJGA4nWWzX6PYCekOf/sDJkcFQ0R+JXJYMRqm/PzKMooRR6Jh8GMIwsgxjyYUzbX7vQ19Z/8C+879Sbwbxz73n0x/Yt+8IH/mNn/jHC/B/999+CyZ+j6j99u/woyO/mXTPT/mqSatZR6kQKa1r5pUWpRRKSZQCJQVKCbRSKJWBO8HTAt8z+J4l8CwNP2GqJuiOPJY703zsngm+/MSQDdN93vmKNldsGzIc9Lh6l2XbRsUo8kgSRWIkNgO3NHg64fh5y9FzgpWB4VP3Nji9MI0NPaZris2zmh0bNZdsgat3dzBygd//dJOlpUleeIXm6t1tvvSEQMQe66clzUZMP/KRaVJKaZ/2UHB+SXCVbfCKG7vc92idzet8Xnj1DN//TQv84ee6PLS/SW/osbjSYtfmOns29bnl8i5ve1mXM0tLfOregMV+wPGzHqdP+3gqJQQExloSA5GxJLFhejbi2qv6jEYRV2wb8fZXjFg/qZhpBURRjbPzNfoDn/7Ioz/UDEaK/lAxGEkGI8FgJBiOcCvBqGDtYWgZRe5xGMIwdhnfXqw5fqrDY0fuXXf1rqnfvPXGjdFHfmP6z5ZOvouZbT/zjw/gP/Lz76W1543iu/8f+46tU3vf+22v3Ne4amcNYzQC6QJH6QAmlYeSFiVV+ihd2agS6OxRCzyd4GuBrw01z1KPLI3QMllLmK4L+qGkGzY5eqrJu/9sBkyMiGNuvLbPro0hcQzGGqx1SRwpBFIJtOez/4TP3kM1mjVNy5esawjmZiXrZzSb5xQ7NiXs2bFCIhb5rY9PcPzEFC+83OOKnQmDuMvXngqYqnvMTlqmWiGNupNCxkjaQ8VSz7LYTmj36rzk6hUe3ttn3wnF1ESNW66a4ofetMhvfwIePdSkN7CsdDXnlybYuK7B+ukhO2aH/Lt39JlotHnyKOw/KfE8i1IWIQxg3f8sxDHs3Jjw4mtiksgjigOsbTAMPc4t+AxGbkUbhiqXb4NQMBwJhqGTJKPQsXYuR0Lj3ovcfRTCMBIMQuhEgpVQ0o4NyWBI1D859ZZbz7/3t5e3xUy99aPxvLZ67t//4wH4v/xvH2bHts3qiYc//9YDRy984E8fOl97fN8M7/7nHfZs66ZBo0kZ3Dj9K7XT2FK5R23xlMTTImVuxciTjEJDECaMIks9MowiQxhaJmIYRYZRDGEsGEaSURIQJTX2HWryxD5IrMVB22ljT4KvXM1HK4CrN8FEHSabkumWYnZKs34Gtm8csWluhcgu8Vsfn+TwkUluuERxyVbJ7q3LfOWZmPOLk9y4SzI9Yaj5AwIZYJUgTiTCWuIkZLlX4/yixw1X1HnB5V3ufbTGhmlBo9bihssNP/HWRX7zE4ZnTrdY6RlWuor5Zc26qSbTE3WmJyaZaETMNSN23BASeDGejlEqQQoXTFjcRRVFigvzmihWRLEijBSjKH0MJaNIMgolw1AyCoULUEORyw93XN3jKHS6fhQahhHpXTAIBd1IsBIJ2iODGfZ5wc5lfvnHl3nddacaYZcPRL0vmF58zceXTvxuMrP9n/3DB/h/+bUPMd301bHjR99+/MTCHz2y90KNiRk+/0ANT0t+8YdXuHJL12lrZdDSaWutDUoZlNJorfBChactXijxtWAUCUaeYOQrwsgBPYosYZw4VyQu3ROIE0uSGBKD09uGHNwueAUtwfMg0IJaIGgEkmZDMdmQTE8K1s/E7NjYp9Vc4eP3hdz91AwrCxNcu12xY5PHZduGJGKFLzzUoOlp5qYVrcaQpw7jOu63WfojxXWXRVy723LubML8ss9g2OD1N3f56pMDDp5WNOuSwJ/gmksMv/i9i9z1zIBP37WOxY5lx/qE5bZmakIx2fRoNTyadUstMAS+IdAJWtk8EAfH4sYIjBHERhIngjgWRLEkjAVRJBlFznkJI0EYWcIQRlFCGBnCEnGMYssozILXFNgR9CNBN5K0Y+iNEkTU44adS/zCDy/x+psTuoNphqMTtUTN/kkiT/7ToVj/Fyf2fiDZfuX3/sMGeKCMXF5pf9vxY6d/9/CBk7XpVkAntoRS81f3a8KR4u2v7PD2V3WZmUjoqhilArRK0MrH08YVRXkaP1TOQvQc44S+IIwc2F3ACGEknYMQF7ZfnBiSxLkLiU2dktQtEUIgpdP5Wgt8LQh8SS2QNOuCiYZlqmXYMDNibrpLbFf46Fclf/i5WdbXaly7XbB9k8fOzYYdm5b5+NcsS0s1rtiomJ6AViPi/DHJheUAfxeMIsHcpGRqCg4etSx3DOcWaly2s8arbuzymXtqzLYg8H2UnOKa3YIffuMFPHmBv7p3mmdP19jQiVg/FTPZVLTqikZdUg80gQ+BB1pbB3LhgvUc5LgLOzGQJII4IQU6RIkljCGKEkcKUWqfxoYwNoSR87zDyDJKLchRJBjEgl4kaEeSbmQIhxGTQYdvfd0C73hFj9fcAJ3eBINRwDAMGAxO1kTQfK8KaloI/0M4nvmHCfA//JNPkCTme+996MivHjlycmKmqahFFk8K2jJgIBVfeFjztWdqnF1e5Mff1mN6IqIWuIyj1gme9vAiDz8FeuApB+7IpdId4wjHRCkrxTFECSSJcxKMcQGXMTbr4UzB7QDuAliBpx1AagE0aoZWPWaqFTM3NWDd9Ar37Qv5kzvq7D86xc5Jj90bYetGn60bYM/2Dv24w4N7J6grj7lpxVQLplojpidjfF8jhLu4BiOfpU7ESt/S7sVcWPbZvrHFi664wB0P9dl/eoJGEOEpHyEm2b1F8d2vWeCmPRf4kztaPPj0FIs9zfqJmKlGTKMmqdcUgScIPInnuVhFKVL70KHc4hJmxpADPU5Murql1mJsiBNDGFuiCKLY1eNEcQHsMBYMY8EgEnRjQSeGwSDGxENm6x1+7FsW+X++vU8j8Fnp1BmGNUZpy+Aw9Oi3T014df+3JtZd4z/z2Kf+8Oob/u6KtP7OAL680kZK+YPv/+O/fNepk6dnmzWBjnFaWwi0ELSFpicbtIeKX/1zn72Hl3nTy3q84vouG9aN6HbrDEaBOzieJog0oe/svQzgUSQJY7fsRnHqaSek1h8pc0uMpQB3mhR1zA1auYSJ71lqvqFei2nVYqYnRmxa1+F8u897PuXxhYdnWFpucumcYPt6wZb1PlvXC3ZtHqL9FT58t+bIySaXb5BMtySTzQQpR5yetwRaIgVYKwgjzY71HR4iodNXLHcs55fqXL61xtte0eYvvuRz7HyApyOE8DC2SRRLbty1zI5v7/CFR/t88AszPHKsyZZpwbpmQrOWUPMFgSfwPReraIULnKXIazIs7iIzFue0JA7wGcjjxEk6B/aC2cMseRQLBgn0Ikk3hkFoiPshW9d1ePmNy7z5pX1ef5NBiwZLy3VGkc8o9BmGmjD0GIaaYahZ6Z6d1fVdv3LtTW9Rg37nffXG301N+d8JwJdX2nie9/13fPHudz319LPrPU2aqLEpazpm0dLgS0FX1OiEHh/+SsBdT3a54YoO3/5qVwU3OxUwGAb0Rz5R5BHGHmGk80ApjhVRIoljSZQI4liSJILEiEJrG0GuSmzx95VyroOnDL5nCPyEehDTqo9YN9VjEA340lOWj3xlkgefnmLa97hmi2XTjGTDrM/mOcnWDSGXbFnmyWMDPvXVOSaVZm5SMNEUTDQi2v2Ez32tRst3391YGIw0b3rxiM8+4Gpi2j3DhWXN1vUt3nJbjwf3ddl70KcZxCgpHMhNg2HotP53v6rN5Zsu8OG7Otz/7BQnlutsnBBM1iwN31DTBt8DrQRKkucVHJE7qJtUqhlTrHBxCnRHEBAlgihJgZ041u7Hgl6Ci3nCkGa9z7e+dolve02HGy9P2DDt0R82aXcDRlHAKPQIQ80o0oxCXQlsTxzbvz5ofO1de66+zfR6nfc3m19/kH9dAd7ptGm3O0jB99xzz1f/+513fnm2016h5ktk5NhTYNNkShrUSUsgBV2l6HlNTnUCzjzQ4IGnevzFtV3e/qoBr3vxkNkpn3AUMIo9wsgjirzcEYgTRZykCZukALixKXOboqYsu8iUNKk7Y/C9hMCPqAchrfqAhAFffFTyZ1+e4umjk4goYOe0ZdOUZd2UYm7GZ+M6yea5iO0bO5yc7/I/P90kHtXZulUw1dJMNGGiESG8kM6gyVTLIoTAWohiyUygiE1MN/Lp9hOWO4rT83WuuqTFj3zzCr/yoYDj8020itILQxPHNYahZONswI2Xdrj2kh7PHD/NR75S545HpjjTrtMMFC0fmp7F1xZPgZYunS9EtbrOANa4iy4xgsRCnAjnnyeCMHFJokHiWHuQWOIoxkQhs7U+r3/1Cu98dZeXXhMzWdeEcZOldkAY+YwijzD0CGNNGOqSayMZhu5x0G3zyEN3rx9F8r9fedVN8cKFM3/sBU0mJ79+8xO/rgAfDgdMTU68+dHHHvvtu75y18Sg36VeU4RRqgmETbOSaS1Jyb3wFdSUoKd8+rHmwqjGXz3Q5O6n+9xyZ49/8S1drtzeYf2UYqKhCSOfMPaIY52DPMkAbiTGSqx1ksDmAaWTSCpN8WsdE/gxngrpDCLmOxG/8fEaRy9M8+jeKazxma0L1q+zrJsUzE4oZqc8NsxKNs7GbJnrMzu1zBceMzzy7BTXbhVMtySthmSiYWjWQ4Q3Igg02lUbuCxjIhmMNINhRGyEKwfuWZY6HucWJ7h1T48XXbXCh++sUV9SaBk5QFpNnPgOHCOPdVM1btrd46ZLezz08jMcn5f8yR1TXFhpcGoxwFeSpifwMxkmHbHkRJ5JFRyTx1YQG4iMYJTAMIbQWEhiiCOkGrF5esC1O9z5uPlKw0RdEcdN2l2fUeQTRZowSoEdpdniPF5K46dQMkpX3PZSh3u/etdsFKvfvvqa65cHg8Gnvp6Y/LoB/OTxQ8zNbVB/9cm/uHT/gUMTvX6HWqAZRcbRBGVwizSBY1GJQCuLF1t8KagrwVAL+l7AIPZYDBvc8cgk9z07oBmM+KdvaLNtNmbH5gG3Xt1FC9ciJoSTKy4r6WqlrS0xNy6RpITzzC0xyJhnjkoe3qf5zIMtnjnRIowbtLRirm6ZaVqmG9b54BOamUnN7JRg40zM5rkBm+aWufvpEb//mfVsmtLMTcBEUzHRFLQaMfVgxH0HFMNQ4zUdqKwVhLGkphXXXz7ggaemXOHTIGGl47GwEnB+YZofeeN5Ti0s8sDjc3gSEBEGiGMHoFEo6Q00060aUxNNXnR5n5df2+fbXznPvpOGzz5Y48F9dQ4caRILzWik6EcKJbLSh3LgmeYErCE2FmsMnkiY9ENqRLzohh67Ng3Zui7iu143ou4rmjVHMu2uTxg5ogljTZxKxyjWhLHKYyTnbqnUFJC5KZAYzfJim3vvvXfi5Kmzl77jHe9Q+/YfSK7Yc/nfH4Af2P8sypvwn3364e8TRL/aXlnC9zxCEjwjXN8kBciVsKjMnkssOgFPCldXklhqiaCRCIYaholmkGgGSY1uN+G/f3gaG0dsmBty1fYhs5Mxb3/VgO3rQ6JIpHrb9Wjmhkmm+6VBSMHH7qrz5OEmQmuOn2lw+nyDWl0xGQimmpaJmmGiBq26YLKhmGgpplua2SlYNxWzYXbIlvUdErvCx746waDX5LKtlomGotWQtOqGVi3G80K+8ECNUV/irXcdo5lEadYVr79lwD2PGXojSW+Q0OlrVrqac4sNrtzV4u0v7fDoMw2OL7VQ0gBRqpc9osSx4TCU9Iaads+nVW/QrI+4cuuQF+4ZcvJCm2NnV9BewhNHNH/xlQZCKQfu8fmD1rhzZC1RmLBjQ8w7XzVg3UTCnh2WDbOQxB6jsEUcu66pONZESZE8cvGQY2wX8DvZ6MAtcxPAee+ZPQlIxfzCInMbtv7q1x54qH/dVbv/cN++Z8Mrrrjq7wfADx85juedv3xp4fR79j7zsLRWpQVRqUzAIIQE4epMZOpgyBTcceIqA73EacAosUSJpZEIQmOJEsHICEaJx8h4xAbmexN85UmDJeGTD7qRDdh0tbBZFi+1yNKKRCEkUiniSCONxtOSVgC75ixNz9AIDI0AGoGgWZe06k4OTbYk0xMwOxkzNz1i81yXhGV+4y9r3PvUenbPwnQjZe+GpFWPadRDmo0B9XqDQEmUTDU4Tg5EkcdwIBiMErojRW9o6A6Ma5lr+pw6P8lLrhrxE+84z6/9hebESoAQBmsjTGKJYs/p2ZFHb6BoDTTNmk+jXqMRNKgFEa16yI2XhfhexM2XxXzXq/toFadJIIMQtirKU0lnjEQISeApwGc40iwua5Ikk4IOzLFRxLF0MVAsidLHOBZEiUyD/5K7FbugNcq891iQJLiGcWt46KGH5ERTvyfQo68OBsOnvx7Y/N8G+F/85cfRnlc/cOjgWw8eOCi0FCjtmhWUFFjlut0FBkER0WfRvZYQK9Bp9J4kNo3m06jeZO8JYmOJDMRGEBlJZCWJ0UQmIEltr/Itz1IK0EK4oFZBrW6paUtNJQQeBBpqvqUeCOq+pFGXNGraAbwpmGoZZiZiZqdGrJ/psXn9Ir//GcMH79jAtinFupZhoqloNRTNBjTqCa16xNlFw+GzATXfld9CVuknGIaaXRsNG9cN6Qx9BkObsrhkpatp1Wu0GlN816svcOTsOd77qS1oqbEYEpO4YxFrRqFiELqiqH5N0hhq6oFHPUhod12M4XsJnk7wvAQtXaOElC6dL9K7K10RgEhBLmibtMrSuLgmSSTGqNSCda/jRFQC/Azc7n1RfR1nBOYSTHHivHhjQSrJZMvn+JFnhCJ868YtOw/fefunBt/wuv89j/x/G+C+7/nz8/M/vbK08NPWRlLItDFBChQghEQIx+BSWmRiUcKSKItKGVsnlkSRf+HYuEbfJLWv3N0Wafa0Us55uSIPlMqaG9KSW2FzS1KnNeSeAk8JPG2db6wFtUBS8yX1QFGvKVp1SathmWwmTLViZiZGrJvus33DIg8eGPHhuzYzXQvY0DJMNIQDd13SrBmatZhWY8SD++GJfQ0uncvijyJtPhgpbt5juWz7gIeenqI/sgyGCb2BTkHu0ajVqdem+NaXLfHEgQs8sHcjWIUxiSuHjS1xZHPbbTDSNIaWek1R8w2B7xH4CYE2adLMlUEoZfKqTSmsC/4p9FwRnIv0+DqQGyNSh8oBP3sep65VnIgc9EkG8PQcl58n6aqdA9w4E0JKyUpnJE+ePv+fdND0G43mLwHh8wbw4aAvB4PhL3zkzz/0b5YWz/uNmkYUGQWMEBjhQC4zeSItibQkxnnQOsnA7Bpoy8/ztLLNMm8WY7MWNvLkTSnzXllxs1R1ltBRMs1YKkpFWy77F/iKWqCoB4JGXdCqWyYaCZPNmKnWiNnJAZvnlnlg/4Bf+KMNnDg1xSXrDFMNmKgrmnVFswbNWkK9FuF7Q9pDVxHpKYuUxSdzYJBEsc9EPaIfG/ppnXV/mNDtS9p1RaMbUAta7NwY8Yvf1+bnPyD52t4NWBTGGpLEECdxmkpXDEPFIJDUR4qaLwl8S+ArAm3wPOf3a2XTGp+0LDmVKULYaoNumtrPLsiM1bO6+ex5ktqKjtHd6ppkAE9LArL33QpNnoCLs3ZE42Sswf3u8ZNn/aDW+slvefurvX6//x8bjcbfOp3/twZ4r9shjqNfeuyR+/7V8sLpWrOucnBnkXm2HEvjXJPEpOBWNg2WXPYsu4rd8wLYJvdowRpLkrK1HbtnfzMDeJZMEhm4RVZT7uwynbaieVoS+G4AUC1wIxnqgaVZM7QaCRONiMlWyMzEgM1zKzywr8/P/+E69p+YYceMc1hadUmzIR171y2NWkKjFhElIX96ZwupFJ60KFHYhMZmy7rHd792mdsfCemGAf0U4L2BottTtANNzQ8IvAn2bIv5rz+wyM/9oeD+pzdgrCQxLq0exa7QbBQaRjVX7hoEgponCHyX2fS1zTO2Whmkct64I54SwEsEBZSOt8jPZwZwUypcyxJriQFTBrcpgTp/XpzzrN/WxWqFxDxw8Gjtrrvv+devftUrRafT+ZmJib9dEuhvDfCzZ45ijX3R4YOP17UM0UEWUBbAMxZUDlaBMoJEpSDOwKzIXxvliqGy7FrWfuWALlwdRQbq7G+Nfa4M4FkNRqb1M/bWOqs7kXiedPUbvqAWuJknjSChWXfgnmiGTE0MmJtq8+C+Pr/w/hmeOb6OrdOC2WZJmtQ0zZqrX6nXYupBiOeNOL04jacESprUliuCTKdXFZumLXEc0YlqrlNmZBgME7pDSb2vqPkevlfD05NcsTXmv37/PP/hD+CBZ9en8sC4oDxOUiY3jAJDLZQMfZVLMM8DT2dtftKtnpI86Bfp4xoYd+AmTQqlBVtZAi2XitlzUwW1GQN2dk5diYAtVuHyamyhFw/42gOP1Ldt2/EiKf/2O078rQD+2IO3Y03YeOKRO3wTr1CvlYp4Sle8yb98wcRJkl790pJYii+qMzCXZYhNC6QYOxCrgZ3dpCiKqKR0bW8ZuJWUaaNEJk+g5kHgG+o1Sz1w+rlRj5hohEw1B6ybbvPIwSE/975pnjo+x+YpxVzTMFkXtGqSRk3RqAvqNXdxuFR/yAN7Bb2hT01lAbXT4JRWtijWNGuKW6/u8uAzE/QjJ1MGo4T+QNENFIGv8D0/1c9TXLnN8Ms/dIGf+j24f+96F2wbkzZLFz2YI18S+Maxt1fU0WuV3UllSiHjZJrlXQvkWVLIIvLsp/PPHdDL57hczFUwdbpqWxyZ2SrA3QVTEJgxcO78Mh/680/5b/snb2z85Sc+13/bW974dw/w+fPHmV23ZerB+z75P5N4+DJPxSjhCpsKIFaBnV3VyoBRVJY2o0Te7Fth7RKgTfkKL2ilqruFKygSMgV3WmSkcoCDSisGPQ2+B75nqPlpgVWQUE/lRas+YrI1YLrV4fFDI37ufdM8cWw9G6c0cw3DZB2aNUGzrmjU3fYojr0TakFMqzHk7id8Vto1pqeLNHkGmCxYixLF+lnFq1/Q4+6HjeuiCU0J5JKaJ6l5Gk/7aF1HSsOV2yzv+qEL/NTvWe7fv57IaKKsAjCxOZMHkcyrC30t0TotwkqdLndsyD9fdhFmUkVkVWlUV+byfe3zXV55CzlqSuc5Y/MM1Mba3OG11l0IUZTg94YvO3Dw6B9893e97UcPHT62cununX+3AO+snKXfW/ip9uKxbwuHC/i+V7pCRalSLfuiImfk6lKWLXPpezaTIVR02UWZO0V6lpHLtbfMKugK3Z1VDGqFq8/QFs9zjcU131DzE+q1mEYtolkb0WoMmZls8+iBET/9e+t4/MgG1k95rG8kTDZsCu6UvWuSeuDYvxbENIKQ2IzohgFCSbyMwXMNLlKmSwvEIo+mP3TlAmGN6Qzkw4S+7xg88CWe1ng624DWcs1Oy6/86Hn+/e8a7t+3gchoRokgTEzK4oJaZAg8i++5tj6dxh1auRJh1wrojpOTKaK0Arqjml+Y5VhnDNw5CZUZuQTuDMgVUGc/t1RX6cr7gjNnF3hm/9Fvu/+Bxw+HYfQf/k4ZfGXxFJPTW3Y8ePf7rh31T1MPhIt+S1V7xpb0mRXpFxclwJev9tUypjhwosQURVaysLptwdrloDJbblOPXaXBlGt5c8D2tc2rB2tekurmiHptxPREn8lmlwf2xvzM76/jsSMbmJvUzNUTJmuWVgrues3ZiRm460FCzY+ZaIbsPWa569EmvpR4yqRBXOFRZEt5lChio3nFjRGXXtLj8Ik6cw3SBl43z6Q/TFlYK7T28hIHISxX74Bf/uEF/sPvGb76zBzDqM4okYSxpZHWcQceDuQ6W71M3tsqVZKvcEqKEsBFCeSs0isFyEvEY8urbgFgOwbkcRDnK3dJAZQJMbGKQ0fO8KW7Hr72P/7kD+84fPTU8d27tn79Ad7rnCaoTe48c+K+Xzfx4pul6FELNMYY90ESUWJgMfaFMj+VnOkrS1p2kEorQHlJXMUgjltSBh8Dt7BIldmCDgxapaytLb42eJ4h8AyBH1PzY2pBSKM2Ymayz3K3zz1Pwy//2UaePLSOdSm4p+qWVl3QrIncK3fOi3Hs7TuA14MRYZIwHNSoKXeRSVFa+snik9QzjrXT8nrEKLQMIlECuMH3E3xP43nSTRWQXg5wBFy3S/DLP7rMf/9QzP37ZjnTnmDYlEwlllZsqaUTBwLPpt5/5qTYYmJBKlUygOefN/3QZZznCjE9KYWxYKtsXpEfxapcfl6VNlX9XX6vt9Ln9LmlN3/2jvuTl9z6gn995NiZY5fs3Pz1BXi/fZRw0Hhhd+mZtw47e6kHtTThkIJXiUKi5ADOgG0d+MuSpeyKGLGmFCkDPDvEZVWYnQQ37iFjb5vKk9RnV465tTau/S0vj3XgDvwU3DM95pcHvOtPG3zqa3Ms9KaZm5TM1VJw15zubqSBZT2QNAKbMrjT3rUgBEK+/LjPcuQzG1Cpx0aUl3Snw8NIMxFoXnVDnwf2h3SjgMm0sXcYGvyRq1X3tQO4VhYlPYR0CRosXLFN8mv/osNnHxjwS+/fwKmFaQZTmilf0IoNjRiCyI1e9pUbaORlgaYUeRCcPZYD9fKFKUTeK1KweEY+2blcA+wFa5eZnsr7OeOP6XmXA1E88Ogh5tZvfGuj2fzTbm9w7OvK4GHYw/Mal50/efe/7C4+QT2AxKbgzu4lb9TaakIgO6E2kyWZy5LJj7IGyzJpGU1UHJNMd5MzS5ZuzlwAlQFcWbR0wNbKgdvTCb6X4HsxNT8i8CNa9QFa97n7iYQ/+NwEn7l3PaGZYP2EYF3NyRJnAWY+uUrvImXuMntHaD3ivmen6IeaTY3s84wzeBaLuAq7mqd40ZUDYuMAPoiEG8WQda6PjAsOdTobJrX3RJpctwjWTQm+7ZU9WsEZ3v+5Afc8O8u5qE6/JpmILU1tHch1Gocom8YlNgV5dgxFUTsuXZFFdqzHdxQsgzwL+isEZcrdQ2vp9kKvJ+PBag7w1GcXmru+9jQ3veDyf/nWb3rJY51u/+DE32Du4V8L8FHvMEunP43nT20edfa/XJh5Aj8gsXFh+WX745SZ22SSpZAnGcBt2mFj1tDZ5UDSWrFmirLcGSQyWZImU6Q0Tp6oojvf0wZPuVqMwIvw/YiaF9JoDPH9Pn92h+bdf7yew/MzeEGNjS3BTJAwEViaATTTDvt64LKdtTQh5OpXknQlcPJkoZPQC318pfClzQPM7PNn3zuTdXEiCWOPujdk49SAlX6LQSTScWsuVvC8JLX5VGp3KgfwSuDqKh/f/NIeN181zy//yZAPfmGOpbhJP/BoepIJ7WpwAu3q77NmCJ0lfdKVT+ZSpUgAVTT5mCivAj1rcF7LcbEVkGeMX4nNbCFfk/KjVZw82+FLX9v38vYg2Ty/2D742N6T3HDltv9dBk9Yt+VVO4crT/y+GTxKo24wJnZZKyVzJqoyedFJY61IC+qzdG8pcVBm8ZytxRhrl4CNLdgkzb7JMsDTuSqywtxJCvIYXztJEvgjAm/AsfMx7/1sk098dZYj56eZaHjM1GA6SGgFNk29Z+CWKbhlnhSqpdo78N2FM9Ec8fH7NAeP16kp4TKGmYNCgfJCxjkdHsWaK3bAN93c5Q8+P0uvoZlIB+oEYRo3KIPWMp3sRQnkXolS3bnYvk7yM9/Z59pdp/i9z8xw5NwkS3GdvqdpKkEjBbovrbtwUpcpX/1EUfEphCvzFVKUAD6W1h8Dua1o8yqrV2RJ6XfcrPOqA5d1GSVpM8bQaj57735uuvGq3/+WN73kDfNLnb9WqjwnwHuDEX7Np7/0la1x/8HdnjiHDOquQdWUumeMLEkUkb+2FTkiKkydAT4Denbi8wNWLpwq1UkIUQA76wzKalyUNKlrkrF3gqdj17mjY4JghK9HdJOQ93zU5/2f3cjpxSmMqjMzqZjxLZO+oZEydyNP38u0TiWVJql3noPbd9nLURRy8FRALwyYDlIXJ0s6ZQyYXci2VJMSaSaaml1bQ1QwpBu2GPiCeuRmkPipvPJSiaIz10OoiwSvirnJPj/y5j5vfcU53v/ZDu/92CwLgyYDXaOmFQ0tqCtLEFvH5tJJFS2L8oa8tHmMyWENuVI+dxWwj0kTqiu3YY2ciS2cpqzLKDSCgVGcP9vh9vue2d1q6a1vf+0tx6wdIkTtbwfwg8fO4PlTc8uLwUfPH77L+4YbE3oDiUxcbXAiM3CnpZS2KMop9HfahVmSLDnQKR6Lcs3qwXIHsnRw08o3lS7RBXtng4ISB3CdoFWC70XU/BDfC2kPQ+57UvJnd0zwsa/OMkxa+L7PrC+Y8g1N39IILA2/AHctkASBJEiliUsMpc5ECnDfc5nPo2ct9zzSIIw8gqZdFWBmtyIf4MggjBSep3n1zV0+/MUe+081GdSy4UYWPwYvMnihcfMapUhlhCyG+5RWxMRIYiNpBJoNUwP+/bf2uXL7iA/e0eLhvZPMD5oMlY/naWpaUJcQyNRGzexVadPpvlTujAO9DOoSsLOztlb5RiZLsvcTK8YCy7Q/NG2fCy0MjWBkLDY2tC/c7r3k6is+CudfQNye/1sz+AuuaMmjJ5584Z2P/NXk5maXwHP1vkoaYqkwSqXAls5FsQ7wtgTusg4vgJ1JElGKwsUqWVIU/1hkxuR5Stnk5Z4yG/emEgdwleRyROuIdi/i3qcFf/T5Ce54dJKldgtZr9GqK6Y8y4RvaHiWhm+p+6Ss7Zi7HkhqvqLmC2o+aYWeScFtCDynv5UeceAUnG7XXGIl1bfVxElRP5PJtiSdNhWGmg0Tgsu2DXjqREw/8vI5JH6IA59KUomSJWpAjnXmlGOgJJFEiasPf+erB7zulmW+9FiXD3xhgof3TrDYbdCWPj1f4yuBLwWBxPVwSrdLnRKlGv6sp3YM4OVkUPkcjjO5KRFbJQOaytiscjS2gshAZCFMGTwxCZgYkiHCdLnrvk9Obtn+thcGrRs+z3MMD3pOgB8+djqQJvnd73jFE82Z5ogw8vB0mIJLYYxKdXgG7JJcydm6ADhjIK/YTGvuplKqjUjliMhdkwzYJn1MUDLBz9wMGTHfjbn7Ec3n7m3xqXsmudBpImo1vJbHhIZJz3Xy1D1S2QF1X6R3mZacprrbFwQZe2cA1zG+H1PzQ6yN+PKjAcfP1lk3I/CkKUZAj3Wzk1mjecmpYjDy2LFB8Oob+nziayG9yGMQCWqexY8di48iW1qlVO5XI2RFpri7LBoVjPPb68GId75ywDfcvMgnv9rls/c2uPvJFhfaDQbCZ+BrtKfQQrgWQinxhE2llkUhStKwnNJf+5azd/qdnRwpAG5KAI8tpbt7nVjXH4pNwETurkI+eVeDJ47ON//sf8S/u3nywJXA4G8F8I9+9jF8vcILd61w240Gz8Y5eyqj0pJNNQZuWWFum/Zk5nKk1Axs12Dtgr2LgJIM1BlzCydJRApwrRN8HVGrRQxHCftPw7Ezio/cOcnnH57gwnITvBp6wqOhJC3P0tKGumepe1DzHLhrnptJ6MpMZeku0p/bFOQmB7nvufa0w2cMTx0NwPPSZd6WUvQVC6LCaHntdOLGOV+za8RVW3vsO91gUBM0YkEQWUaK1NozKXtnbkpmQRZapQjaMgNApdMH3GSpen3E975+xJtuXeH2R3r8+RcbHDtTY9/pBuFKQBxohlojlXTpfECnjxmT57IlJZ+1KCqTmiYHeCqhsscU9En2PHda0v5Qk7g7sWNvE0MSI8KEDc1TTPuPTdWbP/AdF5bsH6yfWfsyuyjA+50DIoz6//IrX3r3ursfDxBa8KLLInRg8FWMCRVhmLK4VasAbvPHFOxkDC5yxnZX9up4PNfdIjt4JdYWxo1+kAlB4CapxknCuUW48yuaw6fq3PVgndPLdQ6faUIQoBqamlY0taWpjXMRvHRwvufGtTkQZ3eZ3lUKcFLNnYLbSwg8x97uwgo5Og97jzXwZNUezCUKRT14keRInRST9TV6XLVjwGXr+zx9JKYfe7QiwUiDH7thl6oEcCkFQsoKk0PVichlUJL+jUQRJR4jz2eiHvLdrx3x0ms7nF7u8OWHfI6cDLj90QZnFmskAw8jNZGvEFK6lSLdecN9H5ECvOQRifKZLJg7A3xuH5K6LWTj9FJ7xaaeIQnYOG1gTSAyCB0jZcyLrg952U0RH/jkvqkf+u72T3je8P2wNldeFOD/6T1fxibxtz37dKf52IEJPvhZy7WXRrz8piFX7YzYPGO5dOcIZSVJKDFITGmYvEHmIC8DOwN65SCUjkrB3IUcESJrsXL62gsSosRy5KTgqSOKOx9s8PRRn2eP1umMAkZhAJ6PmvAIlKChoKEN9ZIPHOisTiMrm3V14UEqS3xf4fsyvQBsob29JB2673R+zY+wJuT8kmRkA7SW+NLNfMlstjECL5pBbLXfMYw9BJq5mRCphvQij74WzumIioIxrUwlAymFKI5hNuwIgTWyYPJS36SXqHz8RH/ks3E6ZPuGiBsvGTEIB/zTo22ePuZz5wM1njpa48iJGlGsIFBYqTBClr6cTP92WauMfdlKJJqlp1NA548ZuJMiXx8laBJ274rYMhNzxa6QV9w05NrdMbMThmeOPM00f4A2Fxcia/7E9j/Eo/t66nt+7og48GyDEMPpC/D0kRq3P9Bg0jNs3xpxzRUhr715xKuuD8E6r7netNhsa+20Ys4ldkQRVCLX+KMltpZuHrgbim+IQkt/6Bj92CnJh+4I6EeKx5+tcehkwELPZ5T4oH1QHmpCpTNWoKEsNYUbZ6bSwiPlWNv3hEt6lMHtSfxUlgQ+BD6pa+JS5m7abZxmRCPqtZALywl33t+i3Q2YnhTo1IuXJRys+rqZH5xrcclopFg3q3jdrUNuf3jAiXaTgSedTNHgxRYvyjzr1GOXibMLKc86kQVjWl36Gw7ofqJItCL2lBv7EHnOSvUimn7ES6+JedGVI97y8iEHTkqe2OsxCBUfvLPB0XMeCEl/oElClZVvYnVZlI/ReDmFWwG4RcQGYSwWZ6HUmzGeZxDW8KobRrz25iFX74nYsTVm0rOsm7TItCZ962yfQfKs+MMvf5P6md+8I37Xv3zt3wzgUQzX7G6+Z8+mc9ft3WtB+SDc8jLfs8wby9Elw/1PGz56Z8zcTIw1lhsuD3nna4aueyO2zE0Zrr9mRLNuwTiAXywgcakQB+52X/DEkx6LHVe19+Bej09/tcYwUgwjxdlzPkZoIuthhAdaIwKNlhJfCWrSOo9XQaAsgbKuBlynnq8umNvP+jJzcKu0R1Pk7O17Bt/PCrSSnL19P0KpkK88pvjE11ooXzu7raK/L87gmReeJJnjoRgOPd704gGfuq/DB788SS+u0Ux1uJfp8ChLyti8W8iN5RAUZWiypPVLADeOyWPtmNzTilhrdJw4oKsEpdwg/elazIv3xNy6J8KKEW9/ZZ9h5Ma5/dVXAx7a61MPBAsdxRNP+3T6MlVJY77oOJOlFYfNmuX6F4xYN+X22TSJ5Z2vGXL9ZRHWwNy0YWbaonHyyCaCaOTUgCPDiPv2h9edb8+9x9P2R/5GDD6/3MWbaE788V/86Z5njwuVKD8HOOB280unII2M4Xzbcn7FLTEHThg+/RVHTdZYJqcTXnhtSKvu6oLHKqdWAZzUdVjpKR5+yqfTVkgtGRnJyGrHTELj5gJrhNRIKfGkoKaclxtIgy/BVymYVTGjz4FcFA0P2jUCZI3HZXA7hk/Lar2MwZPSPSbQEdaGnF7wCUc1gkmJn6a9VVqVV8liZh09VJNfGbMmRhFGHtMtxbZ1Ib4YMogDBrGgrt0QzKyGJEtoKVkub5X533J/I7NsTZE9NabUGZ+NekjSvIFyCTIVE8UJKnJjJrRKkCpm6zqTrhiGK7cPCe0AqQ3ttuDhpzQrfYnKFAvjMrT6jjEO4C+6LmJyymATB9y6FGjhViFjNSZy5z+XuyW4SCG4ZH1Pzaw7teemm79v4ud+qN3x/Opcw1UAP3pqgdPnl3/l/Z9ZfOXek3UIJNWrMQOqKdbZ9HmMoW3Sn0lLZ9ly9q7S0lT5utWvnFdQIbBCYLKhhaQ1p0IVQY6UKOFm7gXSpZx9adMtSGw6/6RgvAzcnnYd9W7rPXJwu7YuhZ+C29fkJaaOwVMW1wY/zY56XkQQRJxcMPzJ7U3QPp4URYCZyxOxisHL9mg2JNSBzQ3VCSOP73rdgE/ePeDZ8y16iUcjdpvSuipAW3TiqCwnUAR7+bHMVgojSwVe2d3ktTBaK7zEzUvxUqC7xFniLFjlLFgX3GfbOCZoYRE2YV3D8I23WZBJ7qggDGPiu3TOrZOwVmCNxsSFhE1iN+/GjtnMNp3XUs6XCBEwHcTM1A68ctQ/9ivY6J//tQz+Wx/4IlIK/+iJc/iB01uGUnxAFv2WwF7WVqoUPOBaj0pu6BppynLut1hms+BFpNsISiFQAnzh0sq+cFIgm1DrHrOm2lIhkaY0B8WB3NdFV30BcJnLlsC3eUub75vS4JwYL2VvX0dIGXL8nGC+U0NoTSCpyJM8PV9KimRHIq+wLAMvdTrC2GN2YsSOjQP2nRsxSDTDBIJE4CUWL051eEzuLBX5AlXpVMidDCuLeTLlkQ+JQSeGREmUzrYvV/lOdm5IUBnYBiWyyVgmt26FsKvu+ScQGQaK4rkiaz1mG68Cc2E55+Au/Y41FuIzJOf+0u3e+9cB/MDBE45xRgNmPTDCjWuwFhKyaaRFi1nZ9iEFf/mxwtzja5Ul7cpJSzLT564MNh33IEALXMJBpKBNJUD2PH8vJfuiFJS8wdZXwoG9Am7pHv0M6FnwSb49oZ82SWQSxdNOn/p+REzEZ++rc36+jjep8Ms1HGUHZWwNLPNCuYYnS/oMR26C7Rtv63Hfk0M6cY2+1tRjQ5im01V5BJ6gBLTsL2WB5ngbYTpTxUKi3N/URhArgU5kuoudK3vIgF4A3FaALksulxwHOIwNFFpN6AVY00uhlOWu2srV97JkkU2L+ohiYnN8bKVYA+Af/tjtTEzUXvKBj3715qX5GOHZNKVsc5PepODNwF08VjNVlbpuWEOHlSrVKJIGWSJBQT5eWaYpYzffpNC4KgO2dPvJZ6MQysDO56AoXD/iWgDPAs5Md+tMlthUb1dryX0vwvdCzrUNjx6qg/bRqTzRpQKlLNsnxhDujk1RP5217+VZx0QRRR43XDpidmpAe7lBP1Y0FHix+y4qse4elQGOA3n+h2QOjDyDbGxR3qwMiRF4aWVoogyJEsQpyONS8VpWDiEzhygDdRrsCmGRZBdZBu4iCUQ5cVdO6VcAXjzmDJ1epEUWXBbpfiPd2GejkGb65taG173kyL5vvveSKwo3pQLwTj8ijPlGa5LriUNqnnYHX4LBVlmHYlhLXluQMUZpGS6DO7tlJqHI/G4KMBTgWF0Hkc00zCSASmvAs1JP11ycdao4WaLy7pUC2FnzrWPvVHNrcr2dWYKOsQtwe3l1YoQg4jNfDbjv6RYy0PhSuPnbeQVheT5Lhu/xbGZ5NFrmiSsSoxgMPW69esA3vbTLez/TIkwCeomklri9crQsqhVzmSJlCWDVo72aycFomXa7ixzciZIoZRyjS5mOlijAnYO8UjJRlFFkrF0uzKqAe41bgZOsfKNcqzReoCdK3yXbIjEh0PZ6LTrfaGR075oMvu/QaaanWq/7o4/c+Z3HTi3ge87yMbJoMSoKZcbqfRl7PoboshVaZu8s3i9n+jJAqFLNQz6sMwN+BnCVMTkpg5O3YVVYPO2G8VQV3G6cwhhzpz2bftre5ums4SAu3SNCIv78yxMkNkDl2ctygFn0NWbORkWDkzVkFyfKpHahCzY1Ao93vqrPn352xIqJGCQ1BonAi8lZXEqLjEVedObswnEtKrGlc1iAXJDodKyDSkGuLco4ueLmR7oKRhdgygLQcqzgTRSZ57whpZS0e06Al1jQ6fGiCG+1Ps9KrbPvkiazwnNIs/SdG3e84a5B98Tt9db2KsCTOCQcDS8NB93dw36XWuBXShtdyrXcWsbYkpK9tpUPPEZclZcFsO0qgMux5+OaM2Py8myPbE8alYJbqbFhNymwtRKFk5Lbga7j3jUm25S5iwBTl9g78EIePSQ5eKaGVR5KSnxpnKQq12mUBPi4i5Ld88kClZl/DuRR7LF7c8RVl/T42oE6kfIZxIKaBC+x6DibtZ524cSpRChN8y3+ZJX5CmlUai5IJ/hqZVJwp+1sypbAndUC2bRMIAV3XuVpK/JEjAN8TZTbkgVYnqBQNMKYcSYvfResotMd0uyNdk9H0aVxlNy+isEXFpYZDoZE4ZC67zqv85JGWep2LzN3CdCVq3ANFi9/udUAL2qmJcXyroQtwF6SJk4GCNc9n4E97XTJmDzb97K6/XfK3KXhP67bnhzYebYyZ+4EX7vEjusKirBE/MWXGywu1hGBxpfglS/C8RqU8kEoHb9sVEK5jjv3po0iijTrZiTveHWXRw9NMEpq9JVPPXFaPCtnVZIU3NlaYVJPPLVsUxYvL//OH7elC8yVq2pDKpWyFcmijKWYRiuL59IU50lWmTur1UcUBFaAYY2OIFsgoxw3FKxedp5KzTQpMcSRpj+I6HeXiKNh/u/mAP+TD30SpSQXFlZo1NwI5KJZdLzbXeSFM5UCd7vWh2bV8lSdnlRo8XLmr8reKeBTrzfX4WUGV8VjIVckSlcB7ut0AJCXbR2YZji1xctT8SZ9nlTuWrnOnWePw0fvaDGSPkqqNHtZnckynsFcdUJLx6iqw1MtnijiRBMkmne8dsgffb7Pk0fqRMqjLyV+YlL3SCATmw8adWyaZfqyv2LSv1Xdt6jM5AW43aQxbTKv3TgplPdtFl1UKmXwWBSBZgbsolAuazEcB3VRCj1eLl3W5La00pWxVwa5+8wBZ08fYnFhPq1GLAH80JHT7N61ufEL/+13dp27sIBW5Sum+pgFltVa7sLyGT+Bq07u+BfPgEwVFFWJInLgFGxeGndQGn9QntqkdbbJa6q91Ri4s/S9lzUmGzczJG8Ry3o64/QeobyQg6c13dAHpVN5YsfKY6ur0yoXpRzTjHvhaTdOkfjRND3Bni1DnjwYkpiAgfGpJa5mW6caXAm3WWu2D5LIgZ2F9CY/AXmGM01Z6HyEh3tPpcMyXcY0ZWxTTAjIxi7Hpem0VZuw1OZWmlqbW4ZrXPQVbswswRL4x5vTDcWUBmsFSWLBJkzOzOy67dU/0uh3vq/fmNjiAH7y1FmWlldeO7du9qf6/SGekrmVtWpcMdXH4gMVH7MsV8YLjco9fWUAjGvwrI+xzIqyBHZXLlp6VMWQTVmSJeVdjD1F6oU7cDsAF0OBvLI8KbO3Svs6/ZClruH/+8sWi4MaIvCcPJG2sqoUg3MuHlhRPo5GpHP5ygzuHJU41kw0ND/2ti5fenSCxZFPKDUDKfHTHspi5EMmB0She4XJy2gtJgW3wSKpOisiZXCbB+kZ2JUUKYNncZDNga0y/Z13L1VlSnkCQgrVNQFeAXmOJ1Eh0mLKbfGYdwQZEGbA5OTMTy2e33dvFA0+mTP4U888Sy3wOXHyBJIET6u0Z66svQvfljGgly+/1Vb7anlSlSZl5hY5k+cd3aIATeZOONlSArgqxo+pEqi1lOhUkugc4JnmNnlQ6WmTg9tLezmLjnwHbk9F+H7IR77s8czhOkgPKSVBNq5CFLtJFP2L7stctJqwxOamtNxmII+NazmLY49rdvd580s7/NHnaxgdMJA+gRR50kdJQVSe9T3G5KLM5JXlvjSRTIGyblUwVjhwZ1PCDCQpe0sp0sAWktLflOnfLc8bLwCfnX9bxcJaIB+zl6uj+0TlmJV1eRTFnD17mijxiGO3MYQGmJ4IqNUCJlsege8AI0XJ9y7/w/kVVkS+a4F6FchtAWyEhRKYc6DLqheez8qTovDE/1qAywLgqlRDrdO6FI9ciniqcEu80nCgQnM79va0m1q13Db81VdaLLQDqHlj8uTiEgUxVkWZn6w1bLtSjbhJJUoUa6YnFN/8yj6fum/IYi8gVJpBIlN7MgWcELn+LdrkCh3udrsjdSUyNi96JXXmrKj0uSTPgySK0nG3JOnfFBnohaCswZ2DlD5SCjhL9L0K36I4PpW4zooKGdi1JIsRbr+ikc8wqhPH7rvqJ54+wOzs9M5773v4J44dP4untVsZRAFoOeZ75xrJsko7jX/YsgdeLFOlSU8yA4KoBJb5Mi+L4LI4wGV5IiodLm64O1VwZzsbZMytSsy9isGzcRPFyAmtXOby6DHBgeM1DAFCOvdEi6J0oOqgiLFOlwJuldillLUrUvYUIDeSONFgNVfsCNm9acjivjo28R2LJ06m6JKLUyTQyoVeqeDOymjBvc67rwrHLLMOy7GNMo5gTEkuGlfFWrqwRDpIX4zJE1uZkFUhOlhbqlSmLaylxauBp+snUPS755i89LKfuHTPSx9fOH/wmI7ihOFwtHEYJq87eXqR6akgT6fmJVPpP1CcFFs9SRej8TXcE4ByZ3aV7UogL4G6YO7qUPv8UZGOAhZFTUrlnm5prcrgLoE83a/eUylrp+yt0tdaRygV8dmvtTi4UAe/kCdl92T8+4yPixi/VYP3kv2V725WKqMNNZesC3njrX0eerYBxiNOnBb3knTIZ1KVSrlUyWkmsw1l6oxVZ9dYKzAyfS7TVUVmd3fsk3TFkNI5L0VslILdiBKwi41/y83jBRaeqz+gpBbKrJ2/V2V1LAgpsdE8nopfF0fDjdjkmPZS9gk8qAXOYsv+qswPvi2xTdWXrGB7DQZfxd7lpTsD+1rMLaq624G+AHbO5kqUmnBL4E7nExbbdrAa2LoYEJSPeNMmBXns5ImKqDdCvrZf8cmvNBkMfWhotBR4oipNxgNMxr7rWiewor/HLMOyLx7FmsmW5i2vGPL5+/o8uN/HNj0GSZBWWGbFaavZswB3AfKyaeeCz/QCS/c2TaTT4xnAk1JizeRBpSg5KKIK9lJclX2WcXID+zcD+Di4qWrxsh2dxG7HuTjdi1NLkSCJqXmWyaZCaVH6jyx2rauF0k4LJaCvInCx+nm2bGYnX0oqS2mVxUUpwCyALUvSRGZpelkKiFS5bNa1v2UjlHW6CZNWVaB7OVu7u1IuwPT9kChM+Pz9DZ490QDPQ0iVl+2qseBSyLFVqfT988NRZu3sGJcHmGYp6FSiZHZhGGqu3B7z+tt6PHGszij2SaTHwCj8hLHPIqiUrI6B3I59FlR2sRmMEqgMQFJglSM7Ywqg5+fGlGYZmmLVkLJ0fsfIrUjfPzeDV0m0UBFmPOAsYXM4UrR7ll4/ZjhM0Hd95XY8rVhc7tCoeyXz3676B8ilyUUYfDWBV2RKNZgsA10US5wo2Lpg8Sqwy6N+c0BXAF5MTs0lSgpuN+PP5kyt88fiuZcGl1pFBH7I08cFt9/XoD/woekhRVY5WCr+WiuLKQrGKh8Vm3OXTTXwWCFbOeFTKsAKI49WK+T1Lx7xqbuHPHEkAO0zNBI/1eLKgEoyVyP9DAkueyiEm8+Qg70AtrVu5culi3Rsnq0qeSY5BXpm3SopEKbsh6dklb4nDHkJb9kfh6q7tBbQi1ihpMvHAF31xCFOPB5+5HGefPogxiTofQfPIYQgMTFCOIlirPvw2Z4pJkvsVOyaAtoXB/jqwKK4ikUJ8OUAU5SAPsbgaXo+G/E7ztpuulXpuS7PBx8Dd3r3sim0aYG/VrG76wjPi4htwmfurXPP03WoaZCuodkrlfBWSmPL9/KLi7DTqgxxPjnBOSpZoJkBfTT0ePk1fd74kj7PHK8Rxx5WKAZC4yVFDb1IChYvPsLaTF4e46BUxtyOzd1rtxVkpsMzoMvUYcmC6iKTOiY3s/OfW4clTV5C91rB5rhSGM+mV5OR7o95sosvhhhh0Z6n3IdLLBgHouyqtcI1h8pxJs8lyto24XMFlgXQ15Ilq1lblFyTIslT1KYUQLclJrcpe6d3XWyCmgHaK4E6c06cY+IelYrwvYjHj0k++uUW4IP0EELh5ckdmxdXjSepROnMZfWEFU/JFgxVMHdJg1uBSVzrnptCq/L0vbWad75qwJ33D3n4sJskEBlFPxFpwVcKsCRlbWzl2FP6LNZax+JloKd3lYLeyHQ/nwxMppRZtqUA06agNqVjIcuFdAWT/00SPwWRljqTskdbPBZ+uCOHrDPKGoOebGmkkIQR9FFFZivfUKi6hLqAs/iDa97WDDCLq7YM5mqQmbJ2xuIVaULJC6+CvNiOowB3MQC/AHeFtUuPOtPfKtPfMZ4XEyUxdz1Y56lDdfA8kC649EvWYKWsoLQSrSq0Gq8FLz3JGyAqdc6lYDORGJVmNxPNKPS4eveQl7/QsfggcSw+Ej5DAzopbDuZZHahdS1ZFeM2y2VUd4vOGNwqR27K4rKfViCswAqQVuQsngNcVi90KUCY0vnNs6vVmOy5SmkpHatxaVLOIRQSBUwfVJh6+1MtN/5rOJTEkcz3hRdp0FCtQSksQ/LDsjbCi2WpOL3lpIcYA3kG5ArQK+4E+d47RblsFdgF2AuQV8BdGoqfuycqQekSwFOJ4uuIg2cFH/h8i1HkQcNL5Ql5a5qqZA5LzkllqboYNY1pzNLxLe+KYexaWlzTDCTf8/o+n7mnyf7T7uJLjKKfKFdlmKTJH4TT30k6lmNsJSl11+bBpiydc5VqdGndZmJCOn3uAC5yGSStSIPMEuBLYJbCaWVKF/8qX/wiND5eErJKmpT25IwiyyhyTdEWixbrb90QdU/9bNjZlxdZZaxrhHBDWSqRa7ne++ITYfPFuRJBlwLLMVmSv85YuwxsOc7ctiRPbKHBs73Y8+bjKri9/L2MtdPn0hTaOw0uQxvz8S83efxg3bX7CI0S0rF3WoNdbi4us9Y4Sz0XNZWzc0X1pnNRrDEO2BWQS4zRhEOPGy4b8LZX9fjNP/MZGA1GEwnJwLgYIfekkyxGEKXkSlUuZQEv1pFG+bPJ1Pu2MgN/Bugi6DfW5iRl0j9TPiZmnLmfA+SiFAOXV5V8dYGKJMl3gUh3V7Z2wHe/87KfvfbmzT+sxXBpKhwM37CwPKLZCPJ502lm1c3rMQIxltwp//G1Lr7y/pUZoC/G3Ku8cLka3OVmXrkK3MVuaqosT3JwlzeismOSJKsUTHJwezriwBnJh7/UAKlBOvbOO/fLbXPlC7F04tasJhSiJEvGdG+284UtMomJEa7SLwO2TdP3KtXiieZbX93nE3c12HvKAxlihWSYeGhEnjJ3Tkp6thJRoqVMh5fJq7AuU5ynlqFNNXjB1k6DuwtJitQfz4EtKqDOg3BZHAoYA/1zAHwc3Ja0nr7ctGFBConWEYtLvOHg08MpvXFasmwViylz2jSDSIJLo1vXWV/dZmTtWzUiLrRVJWoWF/G8s0dZLHGqAvbqvJFxcJd3VatuQJVNZDXpo7MDlTKozO9WMUrGqJTBExXz6Xub7D1YaG8ppPO+8w6asc9bWnplBeSicvJWnbRMf1NicyPGEj6u890kkkRmLO6kypWXjnjTS3oc/nBAmCgQmkRoBkKgk1JWE5E2BWefqQrygiVtKe5y3TxW5vOeEDadDCJtWpFIOqXPAd+YtSRKCeymbKGuIVFK4F+14KUfeXwjq3xn5fTnUSw5cUbTHXnoRk0T1RWthkRpVwecpGxC2k0vyRVJxfte63OU9adM3ygHl7nvvVZAMsbgImVtJdJhVqIsT7L9MEvgliUGz+/FLmtZ6j3f4kQatCyG5iuV4HkRR84qfufjEwyllzK4LnXNp6uHGCsPzZn6OSyBcTbKCCMFVF7YXxo9XWhwUZIoisRo4sQjSGL++Vt7/OVdDQ6f0aCiVKp4DIRA5fKk0OPFByyDvPjQKmN2HKPLFOxS2lyfu/E3BisL5rbp8TDS/Tcmd8XGV+41rOPyYbvYsRtjcFsCd5I/WqIoYTCCRijQ0y2DSAxTLUNi3BbQxMXBBxccCOGWsPKOvdZWrzaRATr78CUGz8BfyXCVvty4NMl6/IpWNVuRJjLrNsktwqpM0RV/2+SgVmrMNVHZeLIYT4d0QsN7PzXB6QsBKJ1agzIfMFT2vfPnjLHS2Mr11zkEBXsXNfiFi5JZYTK/580QUpHEmi1zI37ozV1++QM+7chNPbJWMjLK2YaJyEFeCTZLWiDzwbNJJpkkcWAuJIqVmYQpAC+tddPIsnOYgV0WMjdvSRwDe/YxxmXLcxEDlWNWuH5RbAgjQ68fs9KJ8YIYXav1sXGfDTMhS12POIG4xEbuys8Ye+wv54xcvC6uTDF2slffx1m7vOTnmbEKuG0pyCyYO7cHpUXpbDuTAtBOjpQDynQcmYrzR60idBDxsc8E/P5fTDAynpMnQuXyJG8qXqvACiqyRFTOknjuk1WxCsugz1L21u0onW3wlSd/3FbgNR3zI2/vceC4z/s/7bQ4KBIhGZrUTUmyz2VzYBfiqRBNNs+uZl54luRzn0da6wCfllMbkbJ5ehxcRWJ6LlNClMJdAEI4HzuXLxUW/5slf/L1ppScyuxrY9y+ogvtmM4wpBWH6C88OqKlR2zyYvcBSvqGnH3tqr+2OvItWBrSK/a5gE0V0FkNR1nfVjrpLwruDOCmkCgZiEtAd1LEFHUmqqS/lZs1uLQMf/mlBsujDNwO4J4sJmtV5Ul55UmXY6qAHz9uZeYZB3mlqi/b/dmUXmfgTrW4MgpjNHGimfQT3vqaPp+4t8FiV4GMwCgiNEMh8jqV8YuxQFPZC3fblWQf2Er32pb0uZLuEpGixOai0OkunnMXlM3Pd6oAShdEMdXMVshxlTc+9rqchynHc9ZCbBJecEWb664ArWSTUTji1LLHKIRhmOqasX9cUn1jfDm5mK4aZ/DVWb+CpcUa7J0zZnmLbll0eVekiRwDt04qAWZ5kyrH2gV7e42Yz3ylxoNP1TEl7a2kLBVWVetNLgqY0r2CoVW3FFhjCZ9yCW3VOkyDTivdxgOpLx4nHtrEvOiakG+6pc+ffNZ3mQ4hsUIwMholhNuChFSqlIlrDSYvgs0io6myBFCJzbMLPE/vi5JESRcLM3a+BWDLXUeVDGe6uozjy+JWgTWOohQgtEBKxaQQgEcg6yRRA/2mW/ocPDrk459LmGrFBL7bpk7IYpuKSoNChbWrgK4w9hjIM0Yv3JJS50meFSx1h+c7F9sSg6/B4qXAsgzubDvBfIhkxtyyBHTp3JPAizh8QvKBz7Q41/XdftfSDR5VgmLHhrH76tVJPCd7j98qiZ4Ss1fm8eVs7nzxcs+mktmj2/5kQzPhe7+px71PBRw+L0FEgMIgGQqZbyKVMSaZZFkL5NaRSfa+leTNL0qW5FSmyUUqY4UDrxEilyhCuFWgaKMrl/SW6mVEqQKyDHpEesHY3Owofr8o1FNSMDspuGSLZP+ZOnsvTKKlN2CUDDk1HyHwmGxpfE+iU9quALX0fC32vhhrlxMgsgzi/Ge2JFPK+0sWrJ11cmfjC8oD4HUJ4Bm4qwGlKQE7RskEndqCvh8xSgz/8yMT3PNo3fW2Se20t5Rp104xfyUvR83k0/jxKV/4Y5JurSV2VSN3SYubijTJut5lOu870+KKJDHEUqNizctvDPnhd3b4hf/pM4qla0Q1kjh1VWQpdc5FmDwv4c0vQpuXz7ql3GnqigYW7nNLkTJt5qaITLqUGyGKc18Fq12Fm9zIsCVJM64UpKuEDDyYnrDMTYWciQZ04x76iw9Oc+asQUuZanCbjmazhYd7MeCO/6zE8rL8OykYYDWwCx1rS953dhHYkoNSZWwpShr8ouA26fsZY2esHucM7vkxX37Y4xP3NBiFHtS1095SFeydSaO/jrlLKC5UytpNx+V8QgZsLGPgLksCVpXRSuOkSgb0ONbUGzFvffmAO+4ZcOfDytmGbgYfkdAMcpkCwo53+5QuR2HLHy7X4flboszgLlfiUvcFMTkpUgDenetUl0M+v2UcU5R+v0qqIjUuMye/GHaUSaWsZPbGSzwaLY2ua5/JusfclKYWpPIk/RfXcjwqejrLel6UtW31v70IYxdpebvqUY1JlFVATwNJmW8pWFiCFRdFFeDWKbh9L2KlZ/nMvQ32n605aSJcSazIEzuUNkRdDfL8Yi0tp9Xg7blvWVMtlYK2klSh6HzPGdyakpMikUIhE4OUmmikuXxjxDe9tMeDe33aYdo4idPjIQpJyTYUa4A8BW458FTpD2xWfCXSiy+3DFPQp4A2qX3oGD3Di0i1t/tr0lLNbKYXALaUW0hllJAum56tOCaTW6UgPUlgOBKcjwIm1zVAtdDTE4p4pJhqaXxPpSMBihT6miez9F7G1jAO5NXglmX3QRbMPs7khQa3qzR4hbnT8b4y09pyHNxJlb3zRI/rlDck/PFn6/z+x1tYoZ3vnTonjr0ptHfF7bGrdHjO3NlJKWuTi7C3rZLkmP4uaoCKVrbMMpSpbehS90a6mhVl3BaBUhl+5C19Dp3x+P1PaKI4rTEwEoNgJCTKjJXwiirIVfrhVXmpyZgb1xqXf2bp3stmMWYgtjbzxl3JgLW2qPVP/y0XiBbBZn4BlN+HPAMq84PqLiyDRRhBIoAEzMjtErHYlpi0CR3fEzTr6V6IqR7K67HHA6uxDGSVtYulaVx3V//b8iyN7N/NxiPb/HUG6IoOlzYdyl6WJaYUUKaMLbOM5bg0iVEywvMjDp2TfOKuJr2eB3VVsHfZOVmjLW2VVKF0HChe/HVJnox5KtWaOdhL2UyZPpqs633sbiRGOi0upSaKElrNmLe8os/nv1rn0Nk0Q5Zu5pQYwRA3olMIEMYWgteuLVdyJk9/DZkmhUQpq5gNAU2Pj03PnTUOuFKQltsWcqUcl61KBDF+AbjjKqW7GI3J/EhnyFsLMTAcOT88jAx645yHQtOsC0aRxFJuJh0rfMpAugZbl5MeReA1Nm+wVFpayJBSwJZqb5UNdSyN6i1bg1LafKs+pcogL5i92Fsm0+BxDnatY0aR4Y4HmnzpsbRaUHoO4GPsXUgTUVmBRKZlx6TccyUonhvpxb1SOltyUuw4qFMWz/R4IiQycZIlGmlec33Ia1404OTnPEZGgnABJwhiNEOBCzpJ5UpWXWVEsczgJIfOHPK02Mxty2RTmZLWiAuHdLeLpMMQaZ8mQuSp/EwdWGkL+y/9Wfa8mG+YZV5Fushkq0Uqeaybby6ywNfCYJTQHwlqoUJftWfTyqPD3ud7Q/lPwKC1rJSrZoMvx4uKyqzrAskys9uK8K9KluqYsYosSaeUVr3vQqpkmru8nUbO3tKWMpRJKldKox+U2yVXqQjpx9z9sM+7/3CSxOrCOZEaISWeoNKSVmXwEsjXWs0YA/pzIH1VCWhJphhbbTjJd8/IAk1ROCp5AkgoEmOQRhPHbn+hn/6+DvtPae5+SGL8lMUzPW6ysLHsL5fqUjI5Igu5knn2GTZsDnSR7SuVrmKO4TMPvMzaOdDH2LninqwCOmlNuZMrpBcPOEY3JptRadk05zMx0fx8c2rziupE63tP779wOI75YSUSPO0G54x3zVRKV2Upy5hdCKWTrwRFc0I5QZP/u3bsNZWkTeFr44Ca1nrLfIpUurXGWuAue9+luhNV6rU8tSR49wcmufexpvOWpGtHy4qq6pJ8Q6lsgyt10Xu62uVDcqp3mbZ7SVV+TbpCkTdv5A0flcpJu2oVLeYAZhvllshCVud0C2tZNxsTaMuDT/qsDMaXGplPEReUYocM7aL4GasuhOICrciZ8Z/nC0Gx8wfjr7M/umaZqlj9/6U/k5eQCFeyqxVsnAto6KXvHa4c2K9npzRCCOIYTGKqQyTH5UmFfccYuyRhqledXcX4RZKn5JqUA0pRSJEsqHRMbkoXQrExUgbusiyRMsmliUvouOeJn/CBT03yya80sbVMdzv3JGfvivau6u9qoF2ut0lBU2Lv8jmqAGPsh3lXTQkQ5eIrV0JLOpQntQtTLW5Lz3NnRUhkokiERg4S3vrKAc8e8fiV92nCIC4ALgTGeoRpd46wFmFFqbUtQ1OpIEukTF7Cc67DRSpPTJm508CwJDnKgahMZUV+sY6xui39O5mSsMbJxfy4ph81ESASy1JH0B+5gFw3a84Si2NLFMVotRrYmVxYyxUZ19dyDPiVC+C5AF4KKMvgLuxBQzm5U8gTm4Nb5+8npeAyQeY1Jwl3PhTwh59rMkzSKfgyuzvtndecVKRTNTW/thc+JlNWyZO1tUqRyXRAKieAskdj0jEOmRaXpdESsuSNC4tMUqkiDCKVK4Fn+L439rj/CZ87H3PyJAs4QZCgGdqMw9PALck+duGuKNx/Zo1L++fBZw7wAugyPQDln2Xn3Er3l2TqwAhIL7D096Qr7RWAsO7zZHFCBu7MppQmSzqlg/BjkMqNkjbWohs1B8A4toQlX7tSspo/X4O1x4BdtQMLYFdAX8kImpIOt5WLoLAGywHlav2dgVuqwhKUKWM7Jo9ROqI/gl/6g0mOnA6wWuXMjXCTBbw0uKywN2sx9xpgHltGx5f5iy7hZZCPOSomq08h2+WuPO23rMel2z1NmmJgkFRuV2OjkaHhki0R//EH2tz/kwHdYfoFTJ7yIZGakclWogzkNosc8zLaLIikzOZlgGf1KsKBN9tXvsLE1p1/pMjtv3zbkxzoGXYEmOooOJszv83Lcq0l3VDLgogJI4G1Br1z+yRKKbrdHufODYkT54CuDdyydz0O8tXSpPpvlOy/8ddjurLslowHlRUGl+U9HAvGrt6d7o4T+O2PtXhsX8153rJI6iDEKvZWwlYr8NYC9rikzWsrxHPwtVj9VinILIqusiTKmFSx44kfkW5BKJBGOpDnQWfa4iY00hhuuCLix76lza9/ZIowyVhcZOlGYqMYkWlxWwnkypJFZZIl1c6ZN45gDbDbPLC0JRy5nxe+eJnhK/GAKQAtKjInkzBpQ0Z60Y1GMUF9Cr8+QZIk6Bfc+HrqjSYHDzzL0eO343tqldbOl+cxp6QA/1jKfVyGlH5vXJJkrokovV/432YNiVLIk/x5yS3JdbhKUkaP0bWELz4Q8P6PtWgPPPBVCdwaITLtXWLvcmBd/h45sNeYQVgJwopNbcU4oIuHVXFVngBKUVJo8FSa2JI0yRI/0qa1KWkSSNhUsiikNK5eJVZM1Aw/+PY+jzwTcMfXFDTi1BJM71IQG8mwvNpIm44Ud3tsZhrb4o4TpOl64zRxZg2miqcEcvd7WVWqsJnEyCSNqGhuUQawqP5OmcUza1Fi05Jly8tfegvXXXs13W4fPYo1OtH0hpJOz7JuptQeVmLsNQNKsVp6VALLEsgLVrf5+9nmRQXgyYEs8gDTVAC/GtxFOl5mYM9kiYyQOmbfMc3vfHSCQwueq8oRunSXa7D3RWQJF2FySmDPoLE2hRdkOF6LUknP27FAM9u6cfUuY+VkUF6YlWY2hXQlte48aWRk2T0T88/f0eXYOc3B0wKrSwAXYPGIrWSYy5UC5FnAKSRFXWy2kZbM/ntbeOJpziQDvMy86uyYVqRLyR+vSEFbAXmZXLKSW5nVtghBq6GYnvCZbAYoYrTvSTxPUgskjZobVunsO7tGK9Y4YNcGdtnfzt8vuSXFBqLjDkoG9CpzF174WuAekyQqRqaetx/EnGsLful9E3ziyw2sV5ImQqXam1x765IsKTZYHV/JqmCn9JryexUdXgV8hbXt2Bvl4NKWRlhTnuJkqzXiGXsLJ1WEcZtD5TJFKIwwxInBk4a3vHJAeyT5qV9TnF8REKTUmQBKYI1HLAVDC8KI4oOlwHbzRrIEj5OY2XZAWdbSph55kc0mTdDYVMoU/ZpVp6SoSMyz4pnWHvPG86rFdEXAWpI4YTgyRAmEMUjfVwRBcK5RF7dv3zJFzY8JPDdP2/nPZS1c6maXLlrNLobxrGNu8VU6bwzl/ski1b7GeyVZoqRBlq3AErilLN1Vwd6ejgkxfPq+Ol98qFHUmkiV3gv2ztvR5GoGX1VMtYYez0AsxoCcA34tLTImV1an690/ls2HXLV1hynZhKaoVbHG3XM2L02pdRWHCmkkr71lyJtu6+OLBOcRx2CLR2sskYGhhdAIIiOIDMQGYiOIs2E71g3sj0vDd7I9N/PXNr1XfsfmnfAm/Xl5/ENiXSNxkpR3Z7Z5g7H7mSVJLHFiiSJLtx+hgwnCmNs9zz9nEaj/8Wu/wXe/80UrNd+s+Hr0HcPeBaRUFDUComDbMrBLDLcqoZP+Tl5DUg4cRbUrJwN2JahU5URONagsLpTUKSkzeep5ax2TSMOn7qnzX35/kqNng6KJQbpZfm4UhKCmoCYtfrbP/Vh5rC61yxXbiGfTbYtRwu59mb92v1MM6XfHUVYTN6lTt+p1+QIbz/qOrySl2MddhKk/XC43lVlBVaYyLDMTCVdeGnHyguLgCe0GV1aKtN3dpGn4Igk09phdjGW3qHzVr5HAyQPS7HVuk67xT1Qu+NVkkV34cWLp9CK2bttJsznxb594+uADb3jty90ePTOtZbTnE/c7LNRi+qMAsrQsVdmxlltSyJTCGan6xmtp7ZJUyQJKUV4FTC5XlDLuMXuvAu4yc6fs7SUcXZC8/+NN9h8OoJkxtnIIymxBST5nsFxENe53lwvFKtKE0okfq/seT9G714WLsnZwKcCaVWWzrvS0PL/Qpu+VUvtGkAiBsNKNbEhlSyItIkmNA5s2SAhNPLJccUnM972ly0NP+RybF1U9kU65tFITGlGRJ+RBpUgLsGymP1xloUm/ZmYnUgpQ07cz+VLocZsf3CzYrNqyhUxxRVvlY+qOQz+0nF2Oac5HjMIISDehWrfpSoIgoNsXDMPzxAl5LQnjLsiq52OAFVTSxeULoPidMb872/N87HlmA7oVIPPC1wK387ulcOn4pa7gN/90grseS0ceZ5o7S+oIx6QejAWWhYOSDdbMAD0uUbLXJbJLT6V87lLZcSazGbBtiansxQNQ6zp7ZHnLE0sB7LRORQjnpkhjXN1KmuEEhRCGRBjoG155w4h/8V0d/usfTLE8KGmsLLBEYKVyIBfF50OUwCzTwNjgmpNTMCrK+rrU2la6lsazlUXguPr4rgK6ra5iU02PK6/YwfU3XMOgP3BfAyBobEHUbrnjsWcG755faRFFGevY0lK8uh9SlvTzeNe7LEsQVdXW41V/MqvpzjR6RZKkQB6TJXIN5lYqZigt//PjTd73sRbdSLtAQowHlm7MsJdLjoun5culnOP2YAb+kg+R42MNOX5xkJcBPZbFzEBcZflCi+edP1nSJ03ZF03KstLe5hom3OCgJNG0NPzw27v8yFu71E1ZiyfuMX1urSW0MDQwMoLIplrcQpTpbptpcZFr86Skr1dp8/Sea/DsdTrAJ/vvCw1e3K3JOs/cgVYKdm5pMeV13v2NL73yjst2bSoALv3dvPd3f7W/tNQ96mkvT2StqgspNx+otfVzEVy6wLB6QRRBpcwCx5K2dmxdTt4Ud+eelOpMyql4mSBVDJ7h2cM+H7qjQSdKN8gU4/fMFkx3SBPVQrG17MAc7CVAU35esVDWQvZzQ728PUf+XimwhGLiVbkBotiBo7yRVNHLafMgs6hTsRnQ03scaVra8u2v7XHlZSNkkoyBO320DuSRhVEGcgNRCtg4BXw1oKyCOQNnGeim/DM7fk+Bnlzs5xQgt6CVprOydPRdv/wr/ev3bCkADvANr309b/zGb+byyy9BqxCti3axrHxV5dV8djVTVwJHs4rpZZm1xVrBYzUFL1PWlhUrsJqxlCJxJbAyRnuGZw57/Ni7p3nqYID1UkBnrknqeWe2oJetThcDNiUZUpYjpd/JnOLVTC4qTP7c7F1+UmLwLDVekShZllNUwFz1xtMeydKYiXwqVjosqHBXFIlVJCPFtZdGvOenVrh69xCixAE7A3rO7AXIhwZGNgW5da5KBvLMUYnHWdtWGTmxosLcq5g9B37B6GbsnhiIY0t/GLF9526++Zv/Ca9//Rvz46mzJ1PT0/hBnalJn8V6gtIqj4kEa6XdS8GnLB6lMJWkTuW/WSOgLN43Y7o70+JJic0L10SKVHuLGO0ldK3gdz/R5PFnAxKlS6Aup+SlkyapLVhOy0vSlaniUpR8cCg6YEqgLl8FRcq+TN7PAXFbfZqVlWYBfsU6XBV0pnvnpJpbCleUJaRMZwm6IFMK9+jKZ10QarLmB7K95C0qsdxw5Yh/9pYeP/3rHt0k/ex57XWmzV3ZVYzIkz9FoVVWBJVKqjTNrkSR7cw0eEWbp3ipaPOsLir97tn5sGNBqBDuQhqODEIFzM7O0u31VwPc9xWe5x+anfEOd9f5u9vdGGNURdxXXJGKOzIG9NLvj7slF3dOTOl1FlgmJZni6ruVqHrfnp/QT+D9n2jy0S82GckSuGVZmjgQZBNidZm9GbPmsu9c6lIaZ3DGXo+7ZKvHt10E4yUAF6Wy1WxmkbZ39RuQTfot73XpACzzINM6MFuLMDK1DS3CWBdsGosUyoEfi0gMvrC84zV99h7XvP/jLXpRGonnLoqtgDzKarrXALozY9zYOGTxO4gSyGUhIVx4XrTGlbOcQhTui7CuATk/zhbC2CB0C6EbhwM/ODQYRvnxzSXKxNRWTh6+53ahJj6IXk8cmRJDr7676a5jGlyM1YuskinVIqkKsCvgNmuCW+bgjvPWs24I7/tUk//2B5NcWPTGQJ2VwkqEEPiyYO9VnTqlkoT8e5fAK0vsMp69LEuRHNN/kwhzDSav9PjmiZ9Sc4AtVxWKVXq8SPiUR8BV68XzgDOTKjYbAafYOGv42R/o8P1v6dEKYpdpyYPO9J7KFawltjBK71EafCaZTLFFIqhIBok8qByXI9nmt2X5sVqupEFoaQIY1nDJjjnWr5v84F994d7bd+/asprBAZZ6DTyv/tmVXu3NiQ2uVyQlZ6HMvkUavmIFlhk9Y+lx1s5+JwN0KkWENHk6XlZkSgFuVQK3kjEysHzySw3e9b4Jzi1rN+RGlj3v9E4psFzVzHDx5ElZjmQvivfGRgFDwdj/K+Aew3lhHZaqCsdGSuSWYv47lko3viGdLOWm0jr70KXvrU1La4XzyjEq/cxO+0Qj2DQd87M/2GaxI/ngZ1pQS0qVhRTPBSAUsSwuQFcUZtF5mazN0+5Zo4Q0rnrTjrF5Vg+epeDH0/jZDhOiVKRlBTQbHrMT6vHtm5qf7fUGlWMqyy9e+KJXc+bwHff6avCw78lK1d/aWcdyyWo1kBwPHDN3RGYd76LqlJR1tswCSDUO7pIlWDMcOq35k880OXvBL8Cd24HZo5Mmq12TsvYupHTZGqym5G0xMKcC7LJuWY3tinwRpVR8SV+PI7z882oT8tj88Mp4t2oK3wWRRRLIlgYGZSn9nM1tyVmxijiUbFqX8F3f2GP3tpEr6ii7KjmDp49pABiOMXlkIbYiDT5Tl8WUUvtW5IFmHoTm1qCosL1Zg/HdexZQLK0MH/7jD3/+3te/7jWV46/HzgcbNm4BIVk83yMaDYqewwojF0kbUdbZ40FoRXebakYzCyLTnzkGH2fvKnO7n8Uo33D4jOY/vWeKLz9Sg5pcrbvTvHfueYvS+OMKyMvFYKsBXASUBYOXgbvKB6/8N2NAfw5JUtbdq4LPci1KOg8kD9gqLko6yz39udtjCYSQLvNnXBLFdaGnlCks0lg3X0Qo9ztYkmHMq28a8os/1ubn3jPJkbO+O4hZcFmhRwtoEiPS3R7ANyJP3FhZqiHHBesqTQxljJ3PUhFUGyRMUTmYM7opyAJr8byAHTu2Y1Y3ia4G+KVXvQYhVbgvXGbxwjLZ7G1xUfBWM5Tlx2p6PvuZKdWAl3R3GdQpw4tci2dOSoT2DMcuaH7+dyb56B0NQpF2xVNm7iItn0mTrEu+Amqo1rgDlUkBawSbDuQFckX5yTiq/5a3XHfbDBQiN8lXFWWNZTkr7G4kRiRF4Gll2ndZAN4KB263E5tF5DvzWAJteec3DEgM/NxvT3F8XhSIWQVyyAZ9RjlwyasKTcktUelxyi8A4ea9uIlZVaelqDgsuvHzn6eHfOvWTbzzba8L4zjhZ//dXwPwenMdftD6ydbMJVe1V069UtHJ68Pza7fwBAAALC5JREFUKUNyte4umhvKrD5mB5ZBnTF3WaqIcSYvM3eE1gnH5z1++rcm+didDUKZljxmfvdYUieTJn5WLFUCeVmOrNLhVPV4hclLwF+LnQvN/r+I6BJY13ovswbJWthsseGqK+PIbMDUTSk5Ky6VL9L/RlYsw1xLm6zOO72khCVOwCPm2183QCv4md+a4vi8n429KnZlFfmHyy/IOA2MTbl81qYTsaQLEFXmtEibuybFHPJi7HK2c4RrTs4ami3CGNZNN7n2yku+cukl235yeaW76tDK8TeC2gQHnr6jo3Vjfy2QSeDH+Nmc7bE+yGpZrCmVtZZ/XmXnPJAslb5mQBf5v1G2Ao0LKLXhzJLiZ397ko/dMQbusUxlltDJpIkSRTmsLLGIHGfv7AIuOyUpY4/Xfq/W4mU2F39jfJcDy+y/GZ9PmP9eqWS2XDOOJXdNcvekxOJ2TLebrJzWlp0Wmb4uNLk1bsdgncA7vmHAf/mxNptmosJZsaWsZ9llSYPi2BRZzzBL7+cZT6fNE7uGNk9/Pq6/4+yewCgWDCOJkF7SajX2f/Tjt3dmpif+eoDn58gu/di2TfGTU60RgR/n2clqzfdYCeuqPsmiG6e4MJJSNrOUrSyn3UXG3C5LKVVCouG9n2rx0S80CLONMcWYJVjyvJVIt/zLA0tbJHXK7D0O1ou4KOMM7gBdFuRl+h5j8+cm7grQ7djrDPBYUdXjZIM5s+bkqlavpvZLXfgmuwjkmG04ZiFm9qFVJIlEx/DO1/f5wTf30EmSgjwZA3lUSe2TWnlhlt63gjANPlcHoIW9WH5tSin9rB4lNjCIYGkoWTbNJ88udH/sYsd4TYDvufZ1bF1/Nlm/cZudbI1Q0rjDWZIhhRdenkViKu7I+Ag1uYZrUnZHqqydJnVUgtCC2++t8+HbG4xyG7AEaFl+rLomFTuQqqddqTOpVEpSStWPsfdY1nLcGfzrQL2auktv2eJH2ZPKgM41M5vFBNoc3GYM5EasZvHKY+amZMDOdnJzzoq1CmMEfmL5ttf1+YbbBojEVMGcM/i402JykIdlNjfktSxloCelepYs/V/4/cV3Twy0Y8lle3bZZ8+Okne+7fVrHmbNRW61mW8iSQYfjs4c29Mbdpsi00ql0tVMZzugmJIeT5keM6bXTe6oFPrcIESSavNMyrgUvPIcuP/qnho/+VtTPHskcA3DsszaRW9l7prI8XT8WCtaFixfjLnHAbzK714b1KsCzr/hbbVVmO2dWRpGXwksy132heuQaW1R6t806RgGk0ZmZe2daXFj0vJak+UL7dh3c59QiZhrd4f8j3+9wr+X8Jmv1p0eV+kHz9L6a94ckJPUZUmsyFdXI1JtLnDNw2WfPNPmmRMjXBNKK7Bs3DzT+/633PrhVrPG7/zc2n/1oh9HBpfZfXuP/eZydNvC/HKNOJFjWc1CguTVgKpgcJdSLzsj5cCx2nKmShIl21ZEaoPQgk/eXeen/79Jnj0auMZJKcfYW5YSOmt53jav7S43bKzZZznunqyyCsu/IyoXQBZZFsAYi0QvBu6Sns7xXQJ7pdtlzC2hIlVEhdXzTawqrD7G3lmFYVpxaCvVhoVHntii+tCEiqt2xLz7X7T55pcPnCBOxtjbruGbO1Meax1zu+ynIMzuxjF8ZMT/r70vj7OjqvP9nlNVd+3b3ff23lk6nW6ykZAQZEmCgCPiKOAHP4P6fG7znEEdXBiZUYfxqYwz6gjOuIziG30oysx7g8AIAopsMsAQCRBBtuykA+ks3Z3e71ZV57w/zjlV51RVdxISaGDe+Xxu+t6651bu8j2/+v6+v+UECVuevB+WvonPYltAKc/x7nOXj+zctuU7q5cu4DN9v/ZsX35T24moVydw4MXfgZKRYCOnIMxOTJ2bKAsdkwtZYMENdUUuAkJ9ab1VJyoG2MAvHsrir7/XiGd2ZSS4TUcytOLCW6QU2m7E0drKsMg5oCBJQDaORTrHwrTiJISy+KusvWm4Eq150i9iFD5oQaBEKdCovNfpirLyevWPbKajlJSgI6uSD4Wepwp3iQwUiXnyjBSCNwCAC6xc5OKrH58A58AdD+XEcUvOZTzQ2MVJLe1TU3AIJ5IT0W7NIoANEhgkYdXD3SIYIaL4Wu464vkMzU15nLrmBJSKjbMakFkBXmjsqlUw9rG+3uKNrLInz3loxYkh9ZkUxAC3MSe06CJDUdATFZKnkqrAJvjlwxlc8U+NePb5tAnuKP+WLcgIRSSgo+9pKakJksPyBKFFB0yaYv7VrLYO8iRQzzL4LMeCQA8J6YhCexIfBw8dTSpBwKScxlU/Ew6ZdEXCQA9V9IWEf5nwPIjxroRBYAwg1Ar17zqwapGLr39yAowDv3o4GzouM35qKsEuXHsmbz4XQPcB2DyUAW0qNqFlhAs1hQjuPlYBTiotmK559GMLF3TWXjLAmbefFYo9j3rs7Iltv38039dpwfO0/Va0JKkgWw3afc1iGxxcAjoM/PiwiA9iMXCL4M7fZvCZbytakqRxU0QlQQuqOt603hZmdiRjQDc4ODHBS+KAR+R5A93Rx7MBPsnhjALdSKONWHIlGTIJbPU40LuV9YYAORXboBBJUwgRuSoquKn0cyEZQujtlIMxmG+0Dpy4yMXVn5oA5wR3b8yIloY08uGoBm7OwyswpzLgI3RznwMuEaC0peMp8vZlXg0R8uDS3go+8oF1E8v7Fj66f2iEYZZBZ30y1YF8vjg8OuFfXCi+0fV9T+49GTaztCIyn77vu1GFo4XeQx4uObi03NwiuO+xNC7/x0Y8N5CK0BJlsSOSIJVpsNTMNdEdyxiIocuAHFH+rat/+mvVMd1kG86YKm+LHp8J2LMdT1JPFB/XAKuUBYGlOBc3ehnyMLMw2kzffJ5qagox+LhQVMLCCb9OsKLHxTc/PY5zTq3CYr6qKdN0caW0eDAzEj05T+iAXLaKqDOgwoEKAyqMoOYTqcAAvu/i/DPXulmndnFjY3F4wbzWWY3HrABvLmRRmXweS/uX7116wqpd6UweNq2HGztJUAdgt+KlZJbk12EFjq8pJ0LrJhYDtwnu3pTGJ69uwraBlHCVSUIgx+DhgveqUHwAbsSjk3rEMqp1z9bBKsilAgzwxpQWDdZRtUU/FgNzIu1QofoI0KGei/JzvZLHBLqZnKUCQuZxvfoncD6Dx3pKrQly5Yxyl2DJQhff/ctxvPm0Kiylk+v1nbqMyCNAZ+YcsR+oLI/jojdLjRNM1jkKzQUsWrR6V0fbir1PPbcHhORfOsABwLIsYPrfB7Lp0UuaWpaAkLp4IWVBQ3lbNpdXfbipZpkD2c8AvCccSsJgpTi4TXDvo2n8+T80YdsLKfAky61oiWr7q5Wf6dU5Zuj9MGH4BOudVFis8k+iFl5XTXQExy3zUWiGOvj1mxa5jBclm1uwmxY8YsVhbofCg0zDUA8PQa5bcq14WYGcW+AK5DWCJQtcfOvycbzptKqo7XT90ELzhMCQcXPFjWk334fPmChqBlCve1i3tg9DU+VLvn3D/QOUWof9Du3DTUjne8C8SRCrYV/dvfvBOtv1RsLGkc/6SDl1+Ew1Fwt/RLFbrQp7mw4mIZrakubYM2Jj4xMpXPnPBWwbSIGn4hxb3GzowRxIQEdVk6DtA02IWCZZ66gjmXRf4xtJPDxosqnTnCNFMIk4mAg17sCx5AR6n+4wTxyB6gIN7IFTGdPCxXwSvJ7IdBIiNXIuBXUiubzKXxEtmonKJwjK2EQdDpTRcBmW9bj4zuXj+NIPGB75XRp7RgCkEH4YwgJJN3issqq4kkN5aEnqDridgk0YFnQ34m1nrnjwQxet3zc2WUaxMX+4b/jwFhwAqF3A0N6NO2pe+3dI5nSA1zExXcHYVBXZfAXpVB225YYaNolEJjU5kMj7Vppj26CDL19TwKeubsLWPVFw6ypJVB4kQZagkpUs6GH4hHzuGDXhJg3RrTcQpyfBEtb4N0kAM4GQ3Y5yBFRF59QKiNoco+BB3RgxQK+rK9G2b/qe9yriGWQeyhwVQyMPLLb+Oiu06AF1EVFQXiNYutDFP31mHF/4+AROmOcK8hxYcBZSFMwQ7ucu4NZglcvobBxFS8MEPLeOi85ehsWdhe/ccfemHUcCbuAILLga6VwfiF18tGRN3LLxse0XXXfzVrjI4u1vnMKFp1XQlFNfRPA7SyyEFjyQDdMcOwYdfPn7Bdx8dxZVnwLpBHDH+LfUu6F4t/gAhmqi+gsioXghACWPWVyTopj0BITEjhPThMdBrn0HRzQIjAuhkaeiwKkpKka/cMLD54PsQbmDWRD4oSCEBQsmzDQUJyXEdEQho6JKOgSVNZ4MAGVBvWfwg7Pwc1CPoaPk4/3nV5BOAX/zvQJ2DjpASi1JES2FamoCeYUKJFGOUr6OC0+fxtvOrGGyZuHpF9Zj7erlt2w4uffR/cOTR2w4jhjgTaUOeNUdA1bh1Mvuevz31iNbvQsHRsrY9MQoVl21F2uXeGJBGj+yBmwZLKAOwc69Dq78XwXcfE8WVRwBuFWjdgk0pXcrx9Lk2/EoZaB/U9NyK1DrXaqQBPwA6JHn5QeNzdWAPRu+dccROoB1ekLUfZkfrv7KNxWklio5kKgAkG61eZC6SqBSV8M0WiUxglJtUTABbrEpTgBukbYqgkdihwiEPEDb/YxXGdIOw8XnVgAOXPn9AnYN2qKIGRxBjVpUZ+IA8Rl6u2v40icmULQbMFlpxfrVhdsqzadd9uTuwT1rl807YoAfEUUJVkOmH3f95qk9F75pw9Pnr5+PxhxBd7eHUkF1PFfatyYHSs4NCtA0we6DNr70/QJuuiuLKqeyOc/hLLeYQyDBDbMix9iNATq4I3vqIF61Y3LxJEutg1frP6iBPSaUJ0LbfGw0+YFmGKJ6OE+25qZTSTS+Hi4IhvD5IJwPPX1Wd0T1omVlyTX5UOuvojubQbmbTleYJea4BFnO8O63lHHlpRPo6XCFBsgUZZEOKJQjKt48pwQjExZeHHQwNJLD7gMno9h27tMddNNRgRs4CguuxklLO9HRMe/rtcldi88+eed7ejun0VlKwfM9w4E0gEAp6oxg85MpfP+mHG68O4c6kXzCcCRJ5DENwA0JRgdiF7SkjlSmxQ736owCfjZqEk+2IsYcRF6XBOUZqUvS0Ky0QVF0C649Dui9rqYQDcjBPC4LgBHSGShLbQZ/wABClVWGjHZSUMpCJzOw5Oo5eS6I13JOZV8UKiy8nON7DCmb4z3nVgAGXHNTHr/bIjemDT6waoKi6JCFF4Yb8eGvN+DsVa244KzFN5zRvebr+wb3HS1cj86CA0DXvIV47ul7xhcuXPzhxV2tD5XyJdTdNAAqkq1s0U5CoYtYBBVOcN3tOVz0l8244e4c6oosx5QSKw5wiaYwiUpGunTFhJh53lGwzpRMZQaAtK23o8DVgBpzNNVxfQFwE9tHpKpo3NvQuTVH0wjogAR8PFqorGcfGpYeuvZtWu9AMkxIr53Jkiv1hesyorTkXFp6zgm4BzhMgPwX3xjFhy6oIE9ldbGSEJlqhSXoi2/lMDHdhvGJloe6uns+/PNbfz3e09N9BF/kMQIcAE5c81a0t7Byz7J31J10I2zbg8d8jFQ4hqsUFU5BHQLqANOM4Lpbc7jimgYMjdtwiSLDUWAn0xLFcQOnUgOyFVhvHsn31qy6qtoBj1noOAUJsZtIVSLzA6xHF0AA/tjKkADV7mt3dD4ePKeB11RGTCAnBnoUUKHAadKaoAjCoDEwwayCPkF1kMo8JIkaOWdmYCgAuQ/YnKOtycfXLp3EB99RRt4K+r0hS3y0Zl205VxkLReou2hrKeCjH7qwXnbt8nsuDtuxHc04aoqiRlOpHwDblMbaddu378jeuymNJ7cVYNnAySvqOH99DR4I7ngwja/87waMTchsKAXqoJaGxm8k/EuIyjbTJEENxEbWIEXMsZzJYs/KvTWlJAR3ktXWMgkVIo9YBDcHn+GgLoEHQA9oSkJOCtHvSzAzBHvoqORAwhFW6AeOJpcVvuJ5GgW8/D8plNJCQ8eSS3WEQ7SOA5GJXlRO8UV2osdRKjD87cemkLaBXz2YgguC89fXcPIKF5YFbN7iYNOTwFlvWlVZdWLfJou+JDt8bAC3U03gfOzztPFCfufm7Z/+8g9fyFSmbYDV8X/urGPw4BReOGDh5vsyqLmyT3FYIJZARbTtDiLUJNhiBEoK1Pex1Kw1NOtt1FtywwJHc1NmUk10Lm481uYaRtrgJZG/SfgN5DnxnhTQg4p6BVCipBSEx0xVTWshIbMJoSRE1XGNi4b52mtEiwkO1fotBLTKHgzD+wxUyoPKUQUYY3IOkRzcVG045xLcHAwUlIssUuZzlBoYvvaJSZyyIoMXDli4/P1TSKcZmGvjgtOqeGjriuopp5/1LYuS/9lWanjJAH/pSwMAIc3swODtV554Qu9VK5aeWEdDDkhTrF3u4tzT65jXzkB5EppmATnChUAQ8m07kAS5lvYaze3mM3NtIJluIH4MRCaNahZbt/ZR8Bq0hJiYPtLy48SK+ujzCKmI3jo5zF+Jqiba4xivjhc/BHRCy1fRi5MVHzfyVtQxrUVcWPhMg/cChFcKwYkYGAEGD1q4d1MKm7fYQJWiPJ4DJ2vqLvqv+vmdd17ZViqwI/oCZxiHD+YfZuQX/Ynv04WPTNf8OuVD53zgvL3kc++fxIZTarBt4P7fZjA6ZYUWPNFyR1NiwzyTFJH75hCRfxWE5GmkeU90f0sSNreP7ndjblNOjOeJdowEc8M5RM3X5gQ7ElC5CSwlwfEwr8X8G03sUlerJJ6v5usLSF+44riSMM3Ci6gKZNAvwuWC5YbSCe1+bHFHHsevgGFLP+McQSKCNEg2MDBs4Rs/acD9m7LYvCODoXELHS0tLN+06spF85dcvWJhtfaNb//8mPB5TBYcAL56+TvRnJmuvOX0vlv+5pKT+GXvBE7qtQCPygozEjiL8dh4xHJr1ES1elA3fftvi5hOY1JBcaKCEvvREn58BabIjx386NEvQOMqOoVB5P5Mw1RHNBVF17+V1q0f1/VwhI4ijNcTw/JHMwuNUL1u0bX5RlW+4ZzSmMVWOruusoTHCVQ1j1J+mM/h+gAsG7/bXsTVN8zHcwfP5XZ25S2jk/VKx+IPHis8jx3gALBuzUKsXrFy+4ZTVlyaK57PpspZ+DWCn92Txe4RR6a+Kv6tfjQd6AS640lJvGA4KgMajmRQuRNVQDQtXOfkCZYy5NYkwHTcOhHDKsVD8uHnOypfk8cfGwoKNAqj1BSEgI7KhGoO0yiKft9sNRGpuFe1mdFAUKDEkJDKRGhLVGJUx+Q3Iv8/8VrfJegpMbzr3ArgAFY2i4vP/wOWb1x9abH7pO2+dcLxgObxAXh//0lYMm+47sw781onhb/INpTwm80E9zyah+unoTZ+MkZgzU3NmxDBm4K2DzQE88z76ITWmmqgS24DMbv1NtwE6Jd+DdDyhAGGo5Ye8Y8awzRPnhtaaBIHeQTshqXnEYkQphUHdKBH9fDwasCC+/qePzPxdr1YQoA85NryV+DqFtIUzil830HKsnDeqXW8aeUE+joKoDb5i/PPPe3ax56o1JcvW3VcAP6SVZToaCwtA/N3+aT7v+/cuaNz8rs33V54djcBMmmRIebVwsJBA+skvJFQNbEQ7+FNEG3cEzqWij8bUUuYxxKTqrS3EM0nMSy1xq4CLGvgDz4FwdFZ7wDZcZUxCG4GHEZKgEQDNwlbTICYhciAbN8GuRuEyluBKAET8qHW116qLIxDtCemFJwzcYwBlAo9RNEbKp8PW1LQ4FxCnWGa8x3u0eQzG3XXQa1soa+7jr/7VAp7yxsmly17887Hnhn0Tz25/3jB8vhYcDUIbcA9D1dvyxTO/fgZZ73vUM+ieXCsNCgc9Ha6WN1fQSlflzFeqXnp1huaaiKdRgtmjaVhqWkk10SnJlHODf3xDI6X7qDplASagwUT6EA47wgFkxDACQGfqFUOjunzk4I+8nhSfko0gJMYLNLUFmZQEr3Nm+L7SiFRr1EBHv3qoaRDabgow1iZ4ImdFgb2i5Tbyak8xqYWY+2a9x266G3rP76q/8Xbmgu54wnJ42fBAYCQdgDA/uGJ6z/2nnPstpz19WtvvL/Nx2783YdHsWpxFdfcksXX/qUFHteIMaK9BJPbPlgGmHlAW0wQc0MRmTF5aobjOoiTZUQN6ArTCc6nztcPB/LE+JBmndX/EVpt0zGFsuKaNQ+sOkeocRMtGKRp4kLz1nRrrnJWVAwnbD8BtYErhXQkhYpHVE45RBEEozzYy5MQ0cf7uzfm8b1bm7Gy18cXPuiiq2URmpv/cCjVdM7nmO9eT+wVxxXcwHG24Gp0tjbCQv3H771o3RUXnLVs6JLzCE6cX0CxIYPz1tfQmPPFNxSE6TXH0th9gRvOZCjxmXq3wccRB2YsaokEwEejmbpDSUyw6hTGADcPoH3Uw7DCiN8P6zP1ap4ZytWgAjlaJDPJydQsvJ5FaCoq0SZBmjXnxDimFyzr5W+UEEyUKe5+uAFDYyU8sWMefvTLLpDs2qGmzjddUa3xHzvp5pcDii8PwAGgsbEJP/3Zfde2FAufbSysObTrxTZMl7MY3Gej6jliv/jI1n4pyoNusDo1UTsxEA3shjUPgMpjG0dFrXbAimaz3jAXSQhirZWEclKDhUAOa62PZESpiTLXMQczQVI0pUGNlhgUBTFHM542a6omLDZP34FBr/RRnbFIsJOEz2y4ng3Houjo4rAzKfS2UvR1Lz1ErcJnD+y+89p8/qVHKg83jjnQM9u449Z/w5/96Xt+n883vFBsdM/bvOXF9NU3NmFgpBlwMgAN94xPEy67wQorrrIE7VigJgzFJ3eughagiT4mBn0x6jONgA+JPE/ka0jkMcIgT2SOOK5fFaIBn8iiM5zX2Z1ddcUTh+TSIyS8CkVfAxjPKX8n0O+1udD+xqgaCd+P/r6I9h8Zc4LFYMGxKHq6Xew+YGHx/CWTp6xY8PHRCfqvG865eAY96fiM48rBk8aapVOse37uhgd+2+79+6Y1P3ly50imKZtBjYvGLhQqWhltlBlRTPSoJE1wLCMqSoyiRKNuOngI0dooa5u7KgApIMD8oeN0JLTzScf1oVtqQgKXOzE9PODpUvUgJHQ49TrdJGWFcL2JJwk4dpCTElVWAJlHLkLpqsKHAVrFjswVl4+JLIcjEIlV4pj4y3wC1yOoVLNY0lXDNz7RVn1ka+lPH9nWenN7ceyYwvBHMo7DRfXw492fvg6H6hmrtzB90dTY8L88+tSezIhro+oLYKWoZr1Vyy4d4NGQewTkUeDHAkI0tLRx600i5yIRyVFabZpsvfU5sz0GMa8OweKLLszYlcX8jET/PozPwo3jSmWKbpOodsczd71Tr9PnzrDHqfZYFJJrW7ernvFEbuNO1E4RFKMTGdiZpdXO+Y3vb104dQvqjk/Sn33ZsfeyUhQ1nvntLfjUH/8R/+O3v2HL6MT41irD+c8MjDk+oXAokV2p9JwTbqTAkoTAjkVmtuoxkGuUI5YnbgCfREBGNEARCQSdgkRoCo3QECTRkgiNiDiu0I9HniOR5w0fQaMshsaP8L2oF4dXIhKeT3scHuQJ70mjN1y/UmmddeUcSjksy4dt1wBnSdmjfR9iqQtu3j8wydoXfPSVgN4rA3AAuPOXN2PBievwuSvue/aMNy95njL/3EOj5YxDCdKW5NtU7AZoyazZJHAToud/R/JRaJIVJIEljFn2ALThQohW+YTnVYlUccqjzmPybi0IpJ6Pgkqv1CImcPXgk1oNxoJQQI1wcRrl1UgCu+4ca5RKux/j/dq59P9PnU2lUqmriaBOHCmnjkJz53hjsfOj85Z+6YaDe5Zi+dr3vVKwe2Uoij7e95lrsKCrFdVa/YPVqv+Pjz2+reX5feNwbAs5W+zspRcQgyRb5ihtIUnzDIubtAAOY72pthB0emFY8GRaYnbH0t9DCMSZ1J6oj2Fo//pilQbACqiM7rPoG/LCpCKGcYhu7hvSFkvbUCxKW9T/hSBiLLapcWwPKdsD4IPTdrR0LBkpFOjlnKd/yv39SLV/6RXF2ysOcDWGhsbgOPaHf3HXQ3//w1vuantqaxUdOQtZR3zRKrfC4KuKnkS5ZsTCkwi4k+dEuLehnJAZrLqmlChAUk1FAUHQ4SJKT4A48ImyuFEgJwM9iYsTma8Tfj6dY0Pj19oCCLYt14CtbwsZAFlbAMEGYuFxyPlKOqSUI5NykctM4MBkM7oXvmuoq+esv2LM+1EmW5wTnL3sKspMo62tGZyP/+gD71pPmovlr33+Hx5uI5Up5FIi8ON6QZBMAMAAAY9ZvShogkttBDwwwBHns+Y5I7q3uvxDA3xwRM6LnMP4AAkj6FKGMDqppqpcEf0UMr4TvhYEjAkAmxFO0VebaupK8HpOwCBiC2buiZjBIXqLi32zxYs4E9FJwkXXBPWOxJ7yFJ4n+qa4dYZsrgir+PYh2vQHVxwYw48WdBQwV2POLLgaA/um4Hrehx7e+Pg377//geLw8AjKNY6pKkHVFT+IstrilrTXJYx02CTLbfylcTqiO53hAtDOQ01KEqUo+oKI0RT5TZvPyR9At9yYZcEaFt2kKqGlNe/rfWGEldavAAkUJrDu3Diu0xNLqiO2xYO2ErW6jclpB+WqjUJjCSvXnDbasWDtpwm1f0JIaU7xNWcWXI2ergYwz72+462nHqpPHehjzLvqjrsfcQZHOerMgmNxpCwOGzNIgOo+IgAlyWBRSofuwOlg08PzBh+HflWIOKP6cwb3liPBjASWWy9siM7TrK56TVDjC/O1hpUmYVSTaJ2uwERTHS4Vdi7bpXFwoYODa5mFwsoDRPTlkf8pYVTsfEc4bFu0xSbwMbDPRtu8U91M2vlsQ8uGna6XvSOdnnN4zT3AAYDaDtu5Y/tt7/9vb0ttfnJnOZdl1/ziP/6T/OpxixbTKTi6NZmBcxOaDOqoKqJTEWBmZ9CYg4SFgpCaJIJaqRTaOWakKcE/5iDEpC1BcCcApwZwohKuYKbV6mH/APjifrDtif4+GAGjBGAMlBAwKkBOmbYpMiUA4Ug7LnLZCTy3t8Sau9bx+QuXfaK5tf+6gwcP1Pv6jl/K6zFha67fgBp9/Sfg2W0H6/lC5/Wnr1m4oqO7/4s9nS0oV11QAjgWhx2REKkhJ0YoAUyZy6AGEaBGHxMN4bqmDWhcXM4h+kpAKBcacl9kxDrJajwZ8rGZ+qolR8mn9cfBuVRRbyQXJThlJJ8E+mNAK1dDkDYb9k4RuSeeT+F5FnxGYFtlNBdLWH3iwi/STP+Knvnt11N//6sG3DN8/XM/PvHlH6Ov5FtP7E99cXx4+PMT+/dY8GsgNNwgKaqIxKQ23Ypr8p5e1mYWF+vBII1nU/35BN4Ncy4ScjuC+1wuHvXla9RI5+mGA5zwmYwAWFRJSlBP9OxLo1+jrqbo86Dn04cyomymAsY4cjkLi3uLfltbw1fS7Q1fxkTFJ02XzzV0YuMVC/Qczdj0m1ux9JwP8h984b3333v7v6YLGZw2Pj5uVyp1eD4TmxLJgmY99B3VzE19OgH4mkOpRyqTZEEjzD6TM5nkVMr7UXCrERxKWhQ8fKw9FS6MxIBOUn9z/eqlvwdFo8zzqBeH9ZShv8C4DVgtaJu3vrZw6R9dnSm+5QvVSy/kTssn5xo2ieNVacHVGBufUNftrz2zZee6a396G52Yrq4bGTlkZ1IWbItKHVYl/keCPHSmlgkRcOvWW8s5Ma38TOrJzOCGBkQ1eBDzM7/6JLpED3M/brHNY6KH0kybAoQlfZball1eFQgJU2pFIImBEg8Njc0eodmNvcsvZKW23o2+z69IpSxks3MnAx5uvKoBro8f/uRWpBy7MDE59YNtOwbevW/ffurVK7BtC57cDgYcsKxQUlRgVR9Ul+fMfihR660HgYhhuaMUhco7MQ6vf7t6aVpStbHi+BFKEqMriTRFA3RAPbQtXCJJVuYiDKVBi0ofxxLWwvUtuC4B4x4K+RSKpQ5Wau/5WSaT/4jve5MnrHzHXEPiiMZrBuAA8NzWXcjlMq3PDwxe9vDGzSvd2sRF27bvwoFxAs8nSNscaYfAseXe5ioHNoIpZZlFiJsEFMUAtW7NDauuh92puXC0y33SUG3NgETRJFFmJCQZ5GZmZMjF1bEA4BYPGiPpC1wVJROIbsC2xZGyOdIpH2nHR7nKsWe/ja7uPnS2N9zS07fm6UJz97c9tzpcau2daygc8XhNAVyNPQMvIJvL9+x+fue3nh/YctG/3fk4nt4yjc4mG8WChbRDpOIiPh6T/fqU8aQawKlFZOjfdBaN9FhltQ2nlEacQBKzkGoYFTgsWvke/hAGb6bEaHMRS/OlpiWPJZ9RHgbGrHARqPejGvkA4mrn2AyZFENjvoqmhjEcnCygzN6I/v7ltyw5of/Pp6enB9o7j675/KthvCYBDgAT42OwLKd/9ND2k7YMjF52+z07zxrYsRXcm0Qu68CxCGxLyGCuz+F6Yt91ZZ0tSiSdIbCsaFWOcjoVjdFTZTWgAwZ10Z1cfegyH2Ncq4c07XhMDZoF5NGkKzOhCsFOc5aUV20rzDXxGUHdFYUI4ASWxeHYDDZ10dmeRv+S+ajRZQ8Mjbd9e9Wy/t/XPW9HW2txrn/ylzReswBXQ4JkyfU3/0dXV8n5561bt/Y/8eRTFvN95LI2wIGpso+pig+PybRci8C2AccWi0CpMkYet05bKJGWXO87GKcUSRmCSrNmcucOn4mFxhg3dOzwXFpBhXb+eCJZGAMIswkhmqNRld7A5efkSDkMtiWsuucRTJYpJqYpGOPIZhjSKRuL+1f6i3r7djTmJj9anPeWfeDYZluvbYi8KiKZxzKkQ7ft0KFD23zff2tTITNv3elvuOmBBx5sJP6B/PT0FLbuBsamRBw7kxLKgAMJWioAbjTeillnEoA8iW/HqYLJdYkMAXIltTHTkgMm9RBNdSAjmSKcrraJV9mHal/5oIe4fJ6BiM3AqLhaqbYTFuVIOwyZtAdwgqlKCi8e8JHN5bG4b9702jecOeF53sUt7fP3UmoN2PS1DWw1XvMAV6NUKoFzPtDa2vrC6NjUibk0P6OQZz/ctWunV2x5ovSrR4YLewdtFDmDLa/vFiVwLArLEgjhjMut8RAGXTQlRd0HTBpCFF0ILCdMvksBeHLvJQifwPN5sDErIDL5KIXoO0LD6KJYEzzofwKIOQQAI/FQtLpagAlwi3MBlDBkUh5KjRXsHfExXO2dXLN2xaHFfX12sWBfMn/+ot/aqfw4OGfkGBrOv9rG6+eTILjEM4dMjS5Y0P3rQqGw5LprN/Zd8ifv/spl/2PlM0tOaH2ioaGp2pDPgUBkxTkOQSZtIeOICn9FI5RlJYRIRUZwdR28wf+LcDFYFAHnTTkc6RSHYwO2bM/IGYfnMXgeh+sy1F0Bds/ngr7wcJdjQOtxwgFfm+ez0HHVtWzOgZoLlKsclRpQrwOux+GkcigUGqpwWp4YJ6c+s/7s937l6Yd/1VdoKCwpljp/vXf/xCgh5HUFbuB1ZMH1UWjuAkRuUJn7zwLUuSqVsq7asHalVWxquIb7tSWDLw6cOXpo2HJsD405honpGg6O+mCcIOMQadVDTqzyYAgR+yR5nkxWUpK3pBiWBdh26NgBgO+LBVB3Ra9A12Oo1QVQAeHo2la4SGTYMwj6cAluxsMCAyJzsdVUxwYyKYaa62H/sAfPz6Cl2UE6k0F7V7u/qGf+Q02NzjbPHb8UBw75qVQGF13yeb7mpL7yXP9eL+d4XQJcH8RaAYS+nDc6OvaRdDpVHB4e+ep99/0mNXZon798sbN2cKxyyqPbh8CqZbQ323DsVJAWa0mnNO0IkNfqBPU6g+dzwd8JgcVDx86xgXSKIe0Iq+r7BNSiqNYJPJ+jUmUoVxl8JiU6R1wDKKWwZHicEsCmBNQCPI/DqzHUPQZKCVIOFQEcJhYPtzjAXTTm6ig2c0y47RgayT+ezXmb5y3osc7YcHa9qan0165bG21oaJ7rn+QVHa97gEdHsdgMAKMA/gwAhl64FzYlZz1/oHzepFu92KtXl6ZIDYN7d4MSBs+tw/NcpCwgk6IoNnJUa3UMDlsgoMikLVgWoAQpQkTmYzbF0JDzkMv4yKZ8jE6mUa6mUatzDI5wjE4B2RSQz3DkudKiEZyDEEFrsmkRPt9z0EO9xpDPAH4K4L4FK+uAWmnYKRsnLO1FR6uNQoFurebyN42MNd1FKX/gHe88e66/8jkd/+UAHh1tC94MAA8MDR964L0L8WC97vWNj4+y228bYa2tLb3FYvGvhg4OIpexYbFBdJd24//eX8PWXY3o7czCsUUXVZ8Bng+kuNCes2kfLU1VlJrGsWUvAUcWrU0N2PQsAXeqyJcYdr2YQkeeCoUjJdxJAlWPKtSPbNrHvLYJVP1DuOGuZmxY1YalS+bBohw9PfMxOjr695MTh55ftnIdLRWbKLWcnZ09+HUu/9rUrY/3+C8PcDXaWksA8Gv1+ODBIaRSqeaDB/dv3JG24diW292++NOtzavfss4FVp9kY2DHk3BIDQ15C67HJWd34XtVELjIpMZw1+YqbvxNEb0dHKf0TSGbSeGMk2ro6arhxgcYHn2qCYU0RS5NYRdyaGrMARCBKcumaGrKY80bNmDp6ioauwroarbvTtv1bwLcWb5iBTo7Oh+o1+tjxVLLXH+Fr8rx+hA7X4ExNT4IDtKbsqsde0csVp72cNttt8KrjqOxYKFS5ShXau5ZG06+0ncnL2jIVNyKO45fbLTRmM6D0joWdRI4NsWirjIoMmgoTOD2/8ygPJVFazHltBQbbx/Y9fSVlDpOtcaQz1Is7mnBeX/4dvicYt8hixYy9gHO8fyinq65/kpeE+P/A/w4jmeeegQEpGN87EBT2i7zfYemcO/jaZy6xMFEuY5io4XmBqDUOI2xySasXTmK+x+zsXd/Di3NGTK/u3Occ37g7LPWz/VHed2M/we9ZEwG20mPUwAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNjo0NjoyMSswMDowMCefFD4AAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTY6NDY6MjErMDA6MDBWwqyCAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 10859802
{'hecke_orbit_code': 755947798573, 'n': 1, 'trace_an': 16}
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id: 10859803
{'hecke_orbit_code': 755947798573, 'n': 2, 'trace_an': -6}
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id: 10859804
{'hecke_orbit_code': 755947798573, 'n': 3, 'trace_an': -6}
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id: 10859805
{'hecke_orbit_code': 755947798573, 'n': 4, 'trace_an': 0}
-
id: 10859806
{'hecke_orbit_code': 755947798573, 'n': 5, 'trace_an': -6}
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id: 10859807
{'hecke_orbit_code': 755947798573, 'n': 6, 'trace_an': 0}
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id: 10859808
{'hecke_orbit_code': 755947798573, 'n': 7, 'trace_an': -2}
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id: 10859809
{'hecke_orbit_code': 755947798573, 'n': 8, 'trace_an': 0}
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id: 10859810
{'hecke_orbit_code': 755947798573, 'n': 9, 'trace_an': 0}
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id: 10859811
{'hecke_orbit_code': 755947798573, 'n': 10, 'trace_an': -8}
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id: 10859812
{'hecke_orbit_code': 755947798573, 'n': 11, 'trace_an': 0}
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id: 10859813
{'hecke_orbit_code': 755947798573, 'n': 12, 'trace_an': -6}
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id: 10859814
{'hecke_orbit_code': 755947798573, 'n': 13, 'trace_an': -2}
-
id: 10859815
{'hecke_orbit_code': 755947798573, 'n': 14, 'trace_an': 0}
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id: 10859816
{'hecke_orbit_code': 755947798573, 'n': 15, 'trace_an': -6}
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id: 10859817
{'hecke_orbit_code': 755947798573, 'n': 16, 'trace_an': -8}
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id: 10859818
{'hecke_orbit_code': 755947798573, 'n': 17, 'trace_an': 0}
-
id: 10859819
{'hecke_orbit_code': 755947798573, 'n': 18, 'trace_an': 36}
-
id: 10859820
{'hecke_orbit_code': 755947798573, 'n': 19, 'trace_an': 0}
-
id: 10859821
{'hecke_orbit_code': 755947798573, 'n': 20, 'trace_an': 18}
-
id: 10859822
{'hecke_orbit_code': 755947798573, 'n': 21, 'trace_an': -12}
-
id: 10859823
{'hecke_orbit_code': 755947798573, 'n': 22, 'trace_an': -10}
-
id: 10859824
{'hecke_orbit_code': 755947798573, 'n': 23, 'trace_an': 18}
-
id: 10859825
{'hecke_orbit_code': 755947798573, 'n': 24, 'trace_an': 0}
-
id: 10859826
{'hecke_orbit_code': 755947798573, 'n': 25, 'trace_an': 4}
-
id: 10859827
{'hecke_orbit_code': 755947798573, 'n': 26, 'trace_an': 0}
-
id: 10859828
{'hecke_orbit_code': 755947798573, 'n': 27, 'trace_an': 18}
-
id: 10859829
{'hecke_orbit_code': 755947798573, 'n': 28, 'trace_an': -16}
-
id: 10859830
{'hecke_orbit_code': 755947798573, 'n': 29, 'trace_an': 0}
-
id: 10859831
{'hecke_orbit_code': 755947798573, 'n': 30, 'trace_an': 30}
-
id: 10859832
{'hecke_orbit_code': 755947798573, 'n': 31, 'trace_an': -4}
-
id: 10859833
{'hecke_orbit_code': 755947798573, 'n': 32, 'trace_an': 30}
-
id: 10859834
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id: 10860038
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id: 10860039
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id: 10860040
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id: 10860041
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id: 10860042
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id: 10860043
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id: 10860044
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id: 10860045
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id: 10860046
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id: 10860047
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id: 10860048
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id: 10860049
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id: 10860050
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id: 10860051
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id: 10860052
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id: 10860053
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id: 10860054
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id: 10860055
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id: 10860056
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id: 10860057
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id: 10860058
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id: 10860059
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