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mf_newforms • Show schema
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{'Nk2': 1500, 'analytic_conductor': 2.994390075798014, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 10, 'char_parity': 1, 'char_values': [375, 10, [251, 127], [10, 7]], 'cm_discs': [], 'conrey_index': 49, 'dim': 8, 'field_disc': 4000000, 'field_disc_factorization': [[2, 8], [5, 6]], 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 20, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, -1, 0, 1, 0, -1, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 549789368695, 'hecke_ring_generator_nbound': 2, '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, 2, 1, 2, 0], [1, 1, 25, 4, 1, 5, 0], [1, 1, 25, 5, 1, 10, 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': '375.2.i.a', 'level': 375, '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': '75.2.g.a', 'nf_label': '8.0.4000000.1', 'prim_orbit_index': 5, 'qexp_display': 'q+\\zeta_{20}q^{2}+\\zeta_{20}^{7}q^{3}-\\zeta_{20}^{2}q^{4}+(-1+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c10', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '375.2.i', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1446789703321479400, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.034', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.918', 'prec': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1500, 'analytic_conductor': 2.994390075798014, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 10, 'char_parity': 1, 'char_values': [375, 10, [251, 127], [10, 7]], 'conrey_index': 49, 'cusp_dim': 160, 'dim': 64, 'eis_dim': 80, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 549789368695, 'hecke_orbit_dims': [8, 16, 16, 24], 'label': '375.2.i', 'level': 375, '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': 240, 'mf_new_dim': 64, 'num_forms': 4, 'prim_orbit_index': 5, 'relative_dim': 16, 'sturm_bound': 100, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [64, 0, 0, 18, 0, -2, 0, 30, 16, 0, 6, 0, 0, 12, 0, -10, -10, 0, 2, 0, -4, 30, 20, -24, 0, -52, 0, -30, 24, 0, -6, 0, -10, -24, 0, -18, 10, -30, 8, 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mf_twists_cc • Show schema
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id: 6370735
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368695, 'source_is_minimal': False, 'source_label': '375.2.i.a.49.1', 'source_level': 375, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368695, 'target_is_minimal': False, 'target_label': '375.2.i.a.49.1', 'target_level': 375, 'twist_class_label': '75.2.g.a.16.1', 'twist_class_level': 75, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 6370736
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368695, 'source_is_minimal': False, 'source_label': '375.2.i.a.49.1', 'source_level': 375, 'target_conrey_index': 16, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414923, 'target_is_minimal': True, 'target_label': '75.2.g.a.16.1', 'target_level': 75, 'twist_class_label': '75.2.g.a.16.1', 'twist_class_level': 75, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 6370737
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368695, 'source_is_minimal': False, 'source_label': '375.2.i.a.49.1', 'source_level': 375, 'target_conrey_index': 76, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415223, 'target_is_minimal': False, 'target_label': '375.2.g.a.76.1', 'target_level': 375, 'twist_class_label': '75.2.g.a.16.1', 'twist_class_level': 75, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 6370738
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368695, 'source_is_minimal': False, 'source_label': '375.2.i.a.49.1', 'source_level': 375, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549789368695, 'target_is_minimal': False, 'target_label': '375.2.i.a.49.2', 'target_level': 375, 'twist_class_label': '75.2.g.a.16.1', 'twist_class_level': 75, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 6370739
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368695, 'source_is_minimal': False, 'source_label': '375.2.i.a.49.1', 'source_level': 375, 'target_conrey_index': 91, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069891809, 'target_is_minimal': False, 'target_label': '225.2.h.a.91.1', 'target_level': 225, 'twist_class_label': '75.2.g.a.16.1', 'twist_class_level': 75, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 6370740
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368695, 'source_is_minimal': False, 'source_label': '375.2.i.a.49.1', 'source_level': 375, 'target_conrey_index': 61, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414923, 'target_is_minimal': True, 'target_label': '75.2.g.a.61.1', 'target_level': 75, 'twist_class_label': '75.2.g.a.16.1', 'twist_class_level': 75, 'twisting_char_label': '25.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 6370741
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368695, 'source_is_minimal': False, 'source_label': '375.2.i.a.49.1', 'source_level': 375, 'target_conrey_index': 1249, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668380403539, 'target_is_minimal': False, 'target_label': '1875.2.b.b.1249.1', 'target_level': 1875, 'twist_class_label': '75.2.g.a.16.1', 'twist_class_level': 75, 'twisting_char_label': '25.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 6370742
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368695, 'source_is_minimal': False, 'source_label': '375.2.i.a.49.1', 'source_level': 375, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33556307, 'target_is_minimal': False, 'target_label': '1875.2.a.a.1.1', 'target_level': 1875, 'twist_class_label': '75.2.g.a.16.1', 'twist_class_level': 75, 'twisting_char_label': '25.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 6370743
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368695, 'source_is_minimal': False, 'source_label': '375.2.i.a.49.1', 'source_level': 375, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549789368695, 'target_is_minimal': False, 'target_label': '375.2.i.a.199.2', 'target_level': 375, 'twist_class_label': '75.2.g.a.16.1', 'twist_class_level': 75, 'twisting_char_label': '25.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 6370744
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368695, 'source_is_minimal': False, 'source_label': '375.2.i.a.49.1', 'source_level': 375, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368695, 'target_is_minimal': False, 'target_label': '375.2.i.a.199.1', 'target_level': 375, 'twist_class_label': '75.2.g.a.16.1', 'twist_class_level': 75, 'twisting_char_label': '25.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 6370745
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368695, 'source_is_minimal': False, 'source_label': '375.2.i.a.49.1', 'source_level': 375, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915667795, 'target_is_minimal': False, 'target_label': '1875.2.a.d.1.2', 'target_level': 1875, 'twist_class_label': '75.2.g.a.16.1', 'twist_class_level': 75, 'twisting_char_label': '25.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 6370746
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368695, 'source_is_minimal': False, 'source_label': '375.2.i.a.49.1', 'source_level': 375, 'target_conrey_index': 1249, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503668380403539, 'target_is_minimal': False, 'target_label': '1875.2.b.b.1249.4', 'target_level': 1875, 'twist_class_label': '75.2.g.a.16.1', 'twist_class_level': 75, 'twisting_char_label': '25.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 6370747
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368695, 'source_is_minimal': False, 'source_label': '375.2.i.a.49.1', 'source_level': 375, 'target_conrey_index': 301, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415223, 'target_is_minimal': False, 'target_label': '375.2.g.a.301.1', 'target_level': 375, 'twist_class_label': '75.2.g.a.16.1', 'twist_class_level': 75, 'twisting_char_label': '25.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 6370748
{'conductor': 75, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368695, 'source_is_minimal': False, 'source_label': '375.2.i.a.49.1', 'source_level': 375, 'target_conrey_index': 136, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069891809, 'target_is_minimal': False, 'target_label': '225.2.h.a.136.1', 'target_level': 225, 'twist_class_label': '75.2.g.a.16.1', 'twist_class_level': 75, 'twisting_char_label': '75.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 6370749
{'conductor': 75, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368695, 'source_is_minimal': False, 'source_label': '375.2.i.a.49.1', 'source_level': 375, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425153529, 'target_is_minimal': False, 'target_label': '5625.2.a.h.1.1', 'target_level': 5625, 'twist_class_label': '75.2.g.a.16.1', 'twist_class_level': 75, 'twisting_char_label': '75.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 6370750
{'conductor': 75, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368695, 'source_is_minimal': False, 'source_label': '375.2.i.a.49.1', 'source_level': 375, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 33560057, 'target_is_minimal': False, 'target_label': '5625.2.a.a.1.2', 'target_level': 5625, 'twist_class_label': '75.2.g.a.16.1', 'twist_class_level': 75, 'twisting_char_label': '75.17', 'twisting_conrey_index': 17, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 795450
{'charpoly_factorization': [[[1, 0, -1, 0, 1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 549789368695, 'p': 2}
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id: 795451
{'charpoly_factorization': [[[1, 0, -1, 0, 1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 549789368695, 'p': 3}
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id: 795452
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 549789368695, 'p': 5}
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id: 795453
{'charpoly_factorization': [[[20, 0, 1], 4]], 'hecke_orbit_code': 549789368695, 'p': 7}
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id: 795454
{'charpoly_factorization': [[[16, 16, 16, 6, 1], 2]], 'hecke_orbit_code': 549789368695, 'p': 11}
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id: 795455
{'charpoly_factorization': [[[130321, 0, 361, 0, 766, 0, -44, 0, 1], 1]], 'hecke_orbit_code': 549789368695, 'p': 13}
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id: 795456
{'charpoly_factorization': [[[14641, 0, -2299, 0, 166, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 549789368695, 'p': 17}
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id: 795457
{'charpoly_factorization': [[[16, -24, 16, -4, 1], 2]], 'hecke_orbit_code': 549789368695, 'p': 19}
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id: 795458
{'charpoly_factorization': [[[160000, 0, -8000, 0, 400, 0, -20, 0, 1], 1]], 'hecke_orbit_code': 549789368695, 'p': 23}
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id: 795459
{'charpoly_factorization': [[[841, -87, 34, -8, 1], 2]], 'hecke_orbit_code': 549789368695, 'p': 29}
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id: 795460
{'charpoly_factorization': [[[400, 200, 40, 0, 1], 2]], 'hecke_orbit_code': 549789368695, 'p': 31}
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id: 795461
{'charpoly_factorization': [[[390625, 0, -62500, 0, 3750, 0, 25, 0, 1], 1]], 'hecke_orbit_code': 549789368695, 'p': 37}
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id: 795462
{'charpoly_factorization': [[[25, -25, 10, 0, 1], 2]], 'hecke_orbit_code': 549789368695, 'p': 41}
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id: 795463
{'charpoly_factorization': [[[1936, 0, 92, 0, 1], 2]], 'hecke_orbit_code': 549789368695, 'p': 43}
-
id: 795464
{'charpoly_factorization': [[[256, 0, 256, 0, 736, 0, -44, 0, 1], 1]], 'hecke_orbit_code': 549789368695, 'p': 47}
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id: 795465
{'charpoly_factorization': [[[625, 0, -500, 0, 150, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 549789368695, 'p': 53}
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id: 795466
{'charpoly_factorization': [[[256, 64, 16, 4, 1], 2]], 'hecke_orbit_code': 549789368695, 'p': 59}
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id: 795467
{'charpoly_factorization': [[[1, -3, 4, -2, 1], 2]], 'hecke_orbit_code': 549789368695, 'p': 61}
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id: 795468
{'charpoly_factorization': [[[256, 0, 256, 0, 736, 0, -44, 0, 1], 1]], 'hecke_orbit_code': 549789368695, 'p': 67}
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id: 795469
{'charpoly_factorization': [[[16, 8, 24, -8, 1], 2]], 'hecke_orbit_code': 549789368695, 'p': 71}
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id: 795470
{'charpoly_factorization': [[[390625, 0, 15625, 0, 3750, 0, -100, 0, 1], 1]], 'hecke_orbit_code': 549789368695, 'p': 73}
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id: 795471
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 549789368695, 'p': 79}
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id: 795472
{'charpoly_factorization': [[[3748096, 0, -472384, 0, 22416, 0, 76, 0, 1], 1]], 'hecke_orbit_code': 549789368695, 'p': 83}
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id: 795473
{'charpoly_factorization': [[[1681, -164, 46, -9, 1], 2]], 'hecke_orbit_code': 549789368695, 'p': 89}
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id: 795474
{'charpoly_factorization': [[[130321, 0, 14801, 0, 5806, 0, -124, 0, 1], 1]], 'hecke_orbit_code': 549789368695, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 1, 'label': '375.2.i.a', 'level': 375, 'portrait': 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YmEpY5PZyAYxi7LfcGGCc1iW3PsrCJwPTZMw5a5kPUzQ9bNjNgwM2LLesO2DYpLtrrUVIPDx1rc84THQ/tiHjsakagur3thmzfdaKipGfYdneTwKYeT5xLOpOA+sGC49rJ5fuXty2ydneDUuUnOLQcstl2W2pLlbkK3l9AbCvYdWWD/8fYlj+6ff9HBE+d2HDk5f/PzXvGW8M5b/ubZhsQ3dftHzeCLy23i0CAV77zz4UM3/uIffkK+5YZ9N/67N59wFpbXs9RpsbhSZ7Htsdh2WGzDUjthqR2xuJJwZgUOLgrmZlf4tR9c5LqL6hw/O82pcw1OLTicXTScWYg5MZ9wrhszOT3kBVf0uOFi8GQNX/mcXQo4veBwZknQH0EcawJP0wgSpiZiNHD0TEynB9vXuzRqI4wRIDx6A822DSMWVxwwVoqs9GAUg8Gw1A7ZvM6lO1AIZRB6RCtw2bZxyEpfcPSUQ6IdZlqSZiDwXYhjQX8kObMkOb1oOLsc4/tDcGOed2mPGy8TzLVqLC63OH7W59QCnF2IObsUc3IJDi4annvpAr/+g8tsmGxx7Mw0ZxZrzC97LLQlSysJy52I5U7CUlez0JWc6MDyUpff/fdh/L0vr98VzP2Y9hqX3CXQv2hw8YLWsw2Vp739o2XwP//g3/KC513Dv//Zn/2Nv/74bf/+vX/95Qt2H13Zsf9UT77g8i7nb9IkiYMxCmMse2MkIAGBEAZHGDwJpxZr3HdAcsXOJS7eOqQegOtIPFfheQ6NmqTuSvo9l71HAr70kMfRcyM6ccTe4yPWzyzx+hcsc8UFXZ57cZsjCzELfUHdH3LolKHdaXD5+ZKVYcLuI4pm3eHJo3DhJsMwTBgmHo4TMdWEPcd9lJPgyhjHhcFIct3FfQZ9yRUXJHQGCUdPNTlvg6JRD1kZGdZN9lnudfjobfDI4YTHDg/ZvmmRK3d1mJoOee3zunz3TYadG5ok0SSHT05w8ITL8TOaE+ciTpxLOHhOcGwl4jkXzfNrP9hl/eQkx89Mc3axzvyKx2JbstxOaHcjVnoJyz3DUk9wtq9Y6sRce/ECP/2GeRk4Zsf82aPnDYfx9UHz/FpQn/ryw/d+kj95z4efbciseftHyeAf+ejHufaKreqWr+/7z4ePnvmlB584qs4uhSwOHU71NVdsP8vv/tQ8V+2sc3ZxisV2naV2wFLbZanjsNyF5XbCcidmqRuz0IbjywKnNuT5ly3xPTeFnLeuwUqvxbmlGvNLHgttwVLbSoTlrqYz0HRGhv4wZqYVsW29BgS+azhxzkVIn+3rFOdtMmxa1+fs8ohH9ze55kJDvbbMEwemaTZCwtBlZkozGMIl24Z86LZJdm2NGY0MsxOSKBnQDHyePDKk5ja46qKYxw6FnF302Dzjc95G2LYhRKmIEwvguQYhDNvXx0w1Jd2BT6/v0um7LHUUSyuw2NYstRMW2gln2rA4TNi2ucf3vHiB51/sELgtTi+0WFgOWFhxWOoIltualW7EcjdhpWdY7MGZruLsSsx1u87wrp9a5ILNDRbbLdqdgN6ohQouSNzaht/oxBf+ek2eSG566Xc929BZdftHBfB9+/YRBEHt1KkT2x559Mm3HTpy6r/u3n+cYSjpDqE9sIxyqhvz3PPP8Ds/tcSV59c4tzzF4kqd5U7AUsdlueOw3IF2V7PSjVnuxix1DGfbglM9A6LHm17Y5rXXac7fGBCGdZbbASs9j3ZXsdwTdPuC4cgQxoYkASUNvgs13zDZMqybjnDcIQdPhzx+wEfHDV59fYjjrvDg7gl2bIQv3Bfzwst9zrUHBI4iTiKmpyCOXBw3ZnGxzguu7vCFu5uctxEe2D/Cpc6rrtPEYsDjBxMOnwhwpMf6KYephqDmCzxPoATEGsLIMAyh2zes9DTdvmalr1nsGQZJwvYtfV57Q5s33RiCbrK4MsG5pZrV2x2H5TasdBPavZiVFNxLfTjdUcx3Ep570Vne9VPnuHR7jfnlSVa6dTo9n07fYaUjcWpbCBrrf3nT1ov/ZuuWLceGw+HgwgsverahlN/+0QD8yKEDzM3NefsPHPjh/Qf2v/uhhx4VC0tdORhpegNNd2joDmBlIDk3kJzuRlx3wTl+68cXufqCgIWVSRZXGix3fFa6Hstdh5WuoN01tHsJK92Ydk+z3DOc6wpOtzVTk31e8dwuz7s4Zvt6Ravm0ukG+K4EFGEs0VqgDfSHgNBMNYfsP2nQJuTWBxqM+jUu2Ozx/Cv6RHqFOx6a5KoLXfaf6dFebnHDFX2+/KDP+mnD7qOGf/nGDruP+KyflnzpIcXzL1Es9TscOj7NVReF3PH4gHhU53mXeuzcOmQQ97jlQQWJ4OAJh1bdwRHQH0i0ESTaEMWA1Diept0zNJoRWzeOuPGSPq+4JmamEXB2aYLFlRrLHXtsljuCdg/a3Zh2L6bdS2j3DUt9yZmuYKEbc/2ueX7jx+e58ryA+ZWJErhdun2HTt+h04dYB/qCC68w552/8x3n77zgAwsL8+Gui/5xgPwfBcDjOJLhaPD6B+7+4gXtXvyu++9/0B1FMAqhP4zpDxN6Q01vaOgOBO2B4NxAcqod87xLzvHOH5/nmp0eK50J5pebtHsBK12PlZ5Du6to96HbM3T6MZ1eQm+gafcN8z3BfA+iZMSVFw7YMJ3Q6xtec8OIHRs0cSJxpCGM4PZHA46dC9g4FfPEwQB0nYu3KK7epfGDPg/u7zO/0OCyHQ1ak8vc/ZjLtRcGLPZXWF5usWGD4b7diu9/aY/7dztsWeey0GuzvDTN1Zf0ufuJhOnaJJdd0ONcu819T01Scxo8d5fhom1DkD0ePSxYNx1xdj7ijkddhpFCSki0YcfGkFfcENLtKTZNaa6+EMKwzlK7zlLbZ6Xn0ukr2j1JpwedfkKnl9DtJ3T6mpW+YWkgOdkRtAcjnn/RPL/+Y8s890J7cbS7NTp9n24K7u5A0R1IekNBr58wGMZcdfW1UWLUz73lza8/0KjXPuu6rn62sfWsZzJHoz5RNPjB40ce+N35s/umT59ZptmQqJENFI1RmPynrQUohEFKg5QO9+9bzy++z+GNz1/ie1+6xHmbQ84stvC9GjXfo+67NGoO3ZqkOXCZaDj2ghkkrB9pBiNDd+izNB9w4rghjDUnz8T4vgEEnjI4UtAfKAQucd/hOTsEOzcZtm3uM0q6fPF+xZ4DU7zyGp+rL1nmg180eKLOjs19HrtbsXlSMdvqE6gaYeRyrguNwGHLesEje0KuvqjGTVct8BefG+C5TV5+vcH1+3zlvpAv3NvgqcM1zt9UZ8fGhLmpkPNmIy7fkaCUxlEGMNR9n7lJnzBy6fY9ntjv2hKFgaI3lPQG0Bsaen37t3cHCb2BoTMwrAxgvq84u2yoT7T5mVfP813PH3Hl+Q1OL7Ro9wK6GbgHil763xyMBIORJYAwhju+fp/bbE3/7uzc+qWXvOj6f9fp9f+i1ag/q/h6VgEeh30Q/Njpo3e988ie26bDfo+674GQCAR2gVEg7DMhQArbSaOkQckET0oe2z/Hw/sa7D91jjfe2OPGS4dMNlsstes0OgGtgUcvZZ3eUDIYOvRHDsORYRhqwsgQRYY4sfcw9jAapBK4jiDwBJNNwVQTNsxqtqzvMzvV5uYH4WsPu0g9wSuvcXnOxV3ufCoiHLZ4/nME7cGAc4sNnneRZnayT83xGcaK+U6E0oLnXORQb454aG/Ai66e4IYruzy0V4GZ4JpLPX70dUt8+ZGQL93fYPexgG1zig3TNaaadSaaUPPBdQxKgjaw+7AgSQRRLAhjGEXYv3GUMBhphiNNf6jpjzS9AXRGMN+TnOvCSA952VVLvP7GNv/s5Zo4bnFmoUGnF9AdePQGLr2BojtQ9IeC/tCCezjUDEYJw5FmMNScWTzNyY/ePN0b6P/+Xd/xIqfd7b9vovnsgfxZA3g4WgTiH104cfs7zx398jpp+jTqPlIlOaAzoAuhEEIgJSm4QSmDowyu0tRcwUK/xkdu28JXHu7wwstXePvLVrj8vB4zk3UWV+p0Bz79gZsCW9l7KBhFkigWxLFd6k26XChpcBwIPKjXNNPNiM3r+sT02H8y4qN3BBw63mDSr3HtpQ7Pu6LDffva3HpPi+svDNi2sc+HbhMo4dNqRqz0RmgDSsBcq0+n66HjGq9/4Tk+8oU6O88GvPb6PmG0yB2PzxAlAddduo7XXtvhwq1tvvJQn8eO13n0sMeWacl0S1D3BZ5rL0IpQAiDNqC1IYrTizUyjCJ7IQ9DGITQHQqWR4KlLghnyFW7Vnj7K1Z44aUJM60ay5067W6Nbt+nN3TpDYqVoD+SDIbQTy+c4VAzCBN7IUWQaMXJs20+8JEvrRuE5p3f/boXmNNnl/584/rp/zsAniz8JvMr59M/+6kfiqLeu9rnnpyVpkMtCIA4/UoCkRK4EBIhBEJIlHSQMkEpkS7PGlcZfMdQcwTLQ8Vie4qP3d7g3id6PP/KFd7+8hWu2tlmJqkRxz79YUBv4DIYOYSRIoolcSJJtEAbYbOgwuB7mnoQ43shnjvi5OKIzz0gOXDC4/CJKZT22bnR45LzFNdc3EH58zx+sMnmyTqXnQ8b5pZZ6rS4fLMk1oab7/cZ9SWTjZhXXTfks3dEHDvTZNcFLqdXhjx5yGXr+imuPG+eOx/rcveTglHocfF501y81efiLV0Onl7iwEm4f0+d/Yca1B2B70gaviFwQUpLDMbYizVOrHQIE0FvJOgMBZ0IQh2jzZDnXtjh7a/o8MLLEzZO+wyHEyy2A7o9n97Qoz9w6A0V/aGycmQoGYxs3+hwlFiPf6QZjgyDUDMMDYMQIq04dqbNn334q+seOTD/rtZEPf7NP/v8Bx/cc4qP/s6P/tMF+M/+tz9EztyK7Jh/JqKjfxCunJp0hEMtCBAiAiwL2btCCCxbS4FSAkep9FHjqATXEXiOxnMNvmuoewmTgaA7clnuTPHxr7W47dEh66f6vO3FbS7eOmQ46HHZeYatGxSjyCVJijS/wCClxnUSjp41HD4jWBloPn1nnZMLU5jQZSpQbJpx2L7B4fzNcNnODlou8J7PNlhamuD6ix0u29nmK48KROyybkrSqMf0Iw9pJBiJcjzaQ8HZJcGlps6Lr+ly10M1Ns16XH/ZND/yugU+8IUu9+9t0Bu6LK40OW9TjV0b+1x3UZc3v6jLqaUlPn2nz2Lf5+hpl5MnPVwlkNKuetoYEg2RNiSxZmom4opL+4xGERdvHfGWF49YN6GYbvpEUcDp+YD+wKM/sqvcIAd2prUFwxF2JRglDEPNKGduk4IcBpGgHwpG2mHfqQ5PfOKe2UvPX/cHN1y1Lvro7zznr5dP/Demtvynf3oA/5e/8VF2vORt4gf/o/PWTa3H3/s9Nz1av2xHQLdXt/JDmFxj51pbGpRUSClRUuIogaPSR0fgOgmeI/BcTeAaapGhHhomgoSpmqAfSrphg8MnGvzWX0+DjhFxzDVX9DlvQ0gcgzYaY2wSRwqBVALH9dh7zGP3gYBG4ND0JLN1wdyMZN20w6Y5xfaNCbu2r5CIRf7wEy2OHpvk+otcLt6RMIi73PO4z2TNZWbCMNkMqdesFNJa0h4qlnqGxXZCu1fjBZet8MDuPnuOKSZbAdddOsmPv36RP/okPHSgQW9gWOk6nF1qsWG2zrqpIdtnhvzsW/u06m0eOwx7j0tc16CUQQgNGPs/A3EMOzYkPP/ymCRyiWIfY+oMQ5czCx6DkV3RhqHK5dsgFAxHgmFoWXsU2qzsaKQZhZphpNP3srsF9yASdEPBSiRox4akP2DUfnDyu66bfe8fLpyNF9q//LGlozNmevu/+KcD8H//zo9w3sYJ9dAX/vJN+4+tfPAv710OHt0zyW/9iza7tmmU0kihEUIjhWeBrRyUMjaYVCrV2xLXsZrTcxUjVzIKNX6YMIoMtUgzijRhaGjFMIo0oxjCWDCMJKPEJ0oC9hxo8OgeSIzBQttqY1eCp2zNR9OHyzZCqwYTDclUUzEz6bBuGrZtGLFxboXILPGHn5jg4KEJrj5fcf4Wyc4ty3z1yZizixNcc55kqqUJvAG+9DFKECcSYQxxErLcCzi76HL1xTWec1GXOx8KWD8lqAdNrr5I8zNvWuQPPql58mSTlZ5mpauYX3aYnWww1aox1ZqgVY+Ya0RsvzrEd2NcJ0apBClsMGGwF1UUKc7NO0SxIooVYaQYReljKBlFklEoGYaSUShsgBoKRqFhFNrjOgoTwjDV9JF9fxjCMBIMI+in4F6OJL0wQQ/7PGfHMu/86QVedunp+spS/YNS/qE2avsnFo68J5nd8RPf/gD/L7/zESYbvjp87NxbDh8+/RcPPHU8EM0pvnifwnUEv/4TK1yypYuSCVLpFNwW9NYpMbjK4DoK1zG4ocRzhT0JrmDkKcLIAj2KDGGcWFckLt0TiBNDkmgSjdXbmhzcmRRyJLgu+I4g8AV1X9KoKybqkqkJwbrpmO0b+jQbK3zirpA7Hp9mZaHFFdsU2ze6XLh1SCJWuPn+Og3XYW5K0awPefwgPHXI4fKthv5IceWFEVfsNJw5nTC/7DEY1nn1tV2+/tiA/ScVjZrE91pcfr7m139okdufHPDZ22dZ7Bi2r0tYbjtMthQTDZdm3aVRMwS+xvc0vpPgKCu1ZNpaaQw2YaUFsZbEiSCOBVEsCWNBFElGkXVewkgQRoYwhFGUEEaasEQco6h8t+AepODuRJJ2BP1RhIz6XL1jiV/9iSVec62m3ZugNzgYSD/4SxF7/xw587cn930g2XzRD397A9xBy8Wl9vceOnLyT3bvORZM1Rw6EYxo8pm7JeFI8ZaXdHjry3pMtRK6UuPIJNXZVg+7joMbOfiOYuhaphm5ktAThJGwJydSRDGEkbQOQlzYfnGiSRLrLiQmdUpStyRzZ5S0ssdzBL4nCXxJoyZo1Q2TTc366RFzU11is8LHvi75wBdmWBcEXLFNsG2jy45Nmu0bl/nEPYalpYCLNyimWtCsR5w9Ijm37OOdB6NIMDchmZyE/YcNyx3NmYWAC3cEvPSaLp/7WsBME3zPQ8lJLt8p+InXnsOV5/jMnVM8dTJgfSdi3WTMREPRrCnqNUnNd/A98F1wHOswSQFSlECOvbATDUkiiBNSoEOUGMIYoiixpBBpwuwx0qntmLkyqQUZW0nSiwSdWNKNNOEwZMLv8D2vXuStL+7x8quh3WswGAVEsU/YPxyomvdet+Y6CPfDWJ759gT4H773kySJ/qHH7z/0O/v2H29NBopRYhAIOsJlKJrcfL/inicDTi8v8i/f3GeqFTPyAzr9AEd5uI6L67h4YULoOnihlSZhZFPplnGEZaKUleIYogSSxDoJWtuAS2uT9XCm4LYAt4GrwHUsQAIf6oGmWYuZbMbMTQ6YnVrhrj0hf3lrjb2HJ9kx4bJzA2zZ4LFlPeza1qEfd7hvd4uacpmbUkw2YbI5YmoixvOcNHEFg5HHUidipW9o92LOLXts29DkhovPcev9ffaebFH3I1zlIcQEOzcrfuDlCzx31zn+8tYm9z0xyWLPYV0rZrIeUw8ktUDhuwLflbiujVWUIrUPLcoNtodVa3Kgx4lOV7fUWow1cWLBHUcQxqa4pwmdYWxJpR8JOrGgG8NwGKPjATO1Du/47iX+w/fZnEa7W2c48gkjj1HkWnm0eKzlN9QfTs5d7h3b+/EPbNv13d9+AF9eaaOU+rF3v/fj7zx+/MRMwxdE2qBie9AdIegIh75ssDJy+J2/cdl9cJnXv6jHi6/qsn42pNupMRj5eG6M77mMQgffs/ZeBvAokoSxXXajOPW0E1Lrj5S5JdpQgNsmKVPmBkfZhInnGgJPUwtimkHMVGvExtkOZ9t93v1pl5sfmGZpucEFc4Jt6wSb13lsWSc4b9MQx1vhI3c4HDre4KL1kqmmZKKRIOWIk/MG35FIAcYIwshh+7oO95PQ6SuWO4azSzUu2hLw5he3+duveBw56+M6EUK4aNMgiiXXnLfM9u/rcPNDfT508zQPHmmweUow20hoBAmBJ/BdgefaWMVR2MBZirwmw2AvMm2wTktiAZ+BPE6spLNghzCxtS5hljyKBYMYurGkG8Mg1CT9EVtmu9x09TJveFGf11yrcUSd5ZUao8gjjNz0XlizvYXTMzK44F0XXP7dajDovK9W+z9TU/5/BOCLSys4jvMjn7v5jnc+9tiT62quIVYClRiUIHVHBI4UeFLQlQHt0OEjXw24/bEuV1/c4fte3ue117eZmfQZDH0GIw/fdQlje6CyQCmOFVEiiWNJlAjiWJIkgkSLQmtrQa5KTJYRtckilSaLPFfjewk1P6ZZGzE72WMQDfjK44aPfnWC+56YZMpzuXyzYeO0ZP2Mx6Y5yZb1IedvXuaxIwM+/fU5JpTD3ISg1RC06hHtfsIX7gloetYd0gYGI4fXP3/E5++1NTHtnubcssOWdU3eeGOP+/Z02b3fo+HHKCksyHWdYWi1/g+8tM1FG8/xkds73P3UJMeWa2xoCSYCQ93TBI7Gc8FRAiVJE2T2787Kj3Qq1bQuVrg4BbolCIgSQZSkwE4Ew1jQjwW9BBvzhCGNWp83vnKJ7315h2suSlg/5TIYNuj0bNnAKLTgzs5XFCvCWBGGguOH96xzg7veef6uF+rhoP3+oPatHyv3LQX48vIK/X4PV4kf/PJtX//tz33hKzMrKysEniJOjGVMYVPLSoAjwJPgS+hKl76rONHxOXVvnXsf7/G3V3R5y0sHvOr5Q6YnPcKRzyjODphDlAI9ThRxkiZskgLg2qTMrYuaMpHakEraOg7H0Xhugu9F1PyQZm1AwoAvPyT569smeeLwBCLy2TFl2DhpmJ1UzE17bJiVbJqL2Lahw/H5Ln/62QbxqMaWLYLJpkOrAa16hHBDOoMGk02DEAJjIIol074i1jHdyKPbT1juKE7O17j0/CY/+Z0rvOvDPkfnGzgqSi8MhzgOGIaSDTM+11zQ4Yrzezx59CQf/WqNWx+c5FS7RsNXND1ouAbPMbgKHGmPuRDV6joNGG0vukQLEgNxIqx/ngjCxCaJBolgkMAgNsRxjI5GzAQDXv2yFd72si4vvDxiouYSRg2W2z6jyCOKnZS1VfpcpQ6OTOMkSdTv8OQjX103CtVvn3fhdfHZs6f+V6PeoNH81gH9WwrwwWBAvd54w733PfhHX/7yV1qjQYd64BBrg4ptOjkDuBT2wDuJLWbylKaWCPrKox87nBsFfObeBnc80ee6L/X4V9/d5ZJtHdZNKlp1hzDyCGOXOC5AnmQA1xJtJMZYSWDygDJN9Stjg1gnxvdiXBXSGUTMdyJ+/xMBh89N8dDuSYz2mKkJ1s0aZicEMy3FzKTL+hnJhpmYzXN9ZiaXuflhzYNPTXLFFsFUU9KsS1p1TaMWItwRvu/gKPv7jYEkkQxGDoNhRKwF3YGm2zMsdVzOLLZ43q4eN1y6wke+FFBbUjjSJsG0cYgTjzCyPZ6zkwHP3dnjuRf0uP+mUxydl/zlrZOcW6lzYtHHU5KGK/AyGSZt4JkTeSZVsEweG0GsIdKCUQLDGEJtIIkhjpBqxKapAVdst+fj2ksSWjWHOG7Q7lpgxymwLWM7BahjRRRJokSmjzZmavd7LN5z+0yUOH+065KrlofDwae/lZj8lgH80KEDbNy4QX34wx+9YPeefa1up009cIiSQndLaZCJQMXW/nMScBKBqwxebAgSQV0JBkrQd3wGictiWOPWBye466kBDX/EP39Nmy0zMTs2DXjeZV0cYVvEhLByxWYlba20MSXmxiCkQQnrmRtikDFPHpY8sMfhc/c1efJYkzCu03QUczXDdMMwVTfWB285TE84zEwKNkzHbJobsHFumTueGPGez61j46TDXAtaDUWrIWjWY2r+iLv2KYahg9uwoDJGEMaSwFFcddGAex+ftIVPg4SVjsvCis/ZhSl+8rVnObGwyL2PzOFKQERoyAE0CiW9gcNUM2Cy1eCGi/rcdEWf73vJPHuOaz5/X8B9e2rsO9QgFg6jkaIfKVRe+lAOPNOcgNHE2mC0xhUJE15IQMQNV/c4b+OQLbMRb3/ViJonadRcwrBOu+ulK6mTEo7KvfYM3KvuuU1pzYFht82D99/ZOnPmzAWvfd1b1IEDB5ILLrjgHw/A9+59isnJCe/hhx/8YSGS3+l2lgl8l1iDEBpBlpkUSGkZW8VYiZAYnBhcKXC1wU8MgRLUE8FIwzBxGSQu/SSg20347Y9MYeKI9XNDLt02ZGYi5i0vHbBtXUgUiVRvSygxN6n+lFIjpODjt9d47GAD4TgcPVXn5Nk6QU0x4QsmG4ZWoGkF0KwJJuqKVlMx1XSYmYTZyZj1M0M2r+uQmBU+/vUWg16DC7cYWnVFsy5p1jTNIMZ1Q26+N2DUl7jrbLdoJlEaNcWrrxvwtYc1vZGkN0hsl0zX4cxinUvOa/KWF3Z46Mk6R5eaKKmBKNXLLlGiGEU2MdMbOrR7Hs1anUZtxCVbhly/a8jxc22OnF7BcRMePeTwt1+tI5QtXGN8/qDRgAZjiMKE7etj3vbSAbOthF3bDetnIIldRmGTOHZZ7rjEkSJKnDQOsoDOAG5jIpm6WiJ9bhNdmREQRVbjx9rhzNklpmaj33nooQf7O7Zt/8Ce3U+FF19y6T8OgJ88eYLFxfmLTpw4+e4HH3hQKiXxPJCxRgqJFIZYmhTcEEtbrRdrgRNbnRglBjexGtB3DEFiiBNBqA1hIhhpySiRhNol0jDfa/HVxzSGhE/dZ0c2YHR6z7J4qUUmsopEiVSKOHKQ2sF1JE0fzpszNFxN3dfUfaj7gkZN0qxZOTTRlEy1YGYiZm5qxKa5LgnL/P7fBdz5+Dp2zsBUPWXvuqRZi6nXQhr1AbVaHV9JlEw1OFYORJHLcCAYjBK6I0VvqOkOtG2Za3icODvBCy4d8TNvPcvv/q3DsRUfITTGROjEEMUuYSQZjmwZa3Pg0Ag86rWAul8n8COatZBrLgzx3IhrL4x5+8v6OCpOk0AaIUxVlKeSTmuJEBLfVYDHcOSwuOzYup0ki3nSeyyLGCgtXMvAnTlbWWIpToPW/HWcBrKxdW0eeuhBCfLd/X7/66PR6IlvBTb/twH+mc98CoRTO7D/4JsOHTogXEdiEHkFoK3fTutKlE3AKGVQCajEasM4ASexvY9xFtEnaVSfRfZaFK+1INSS2EgS7RBpnyS1vcq3PEuZ2pKOBFdBUDMEjiFQCb4LvgOBZ6j5gponqdck9cCxAG8IJpua6VbMzOSIddM9Nq1b5D2f03zo1vVsnVTMNjWthqJZVzTqUK8lNGsRpxc1B0/7BJ69oCGr9BMMQ4fzNmg2zA7pDD0GQ5OyuGSl69CsBTTrk7z9Zec4dPoM7/30ZhzpYNAkOiHWhih2GIWKQWiLovqBpD50qPkuNT+h3bUxhucmNmHmJjjSNkpImaR1P/ZuS1dsCacFuaCt0ypLbeOaJJFoLYl1Ee/EiSgF+Nnz0mOc1qhnwE5JLHuepDkLbWxr4GOPPy6Gw+Gbzjtvx8HPffZTg9e9/n+vkfl/G+CzU47X7c7/wvLyuV+Io5H0POs/i0Tazhthta+UhkTbWu4kETbQSwyxBiexfnWSJR+0SV+b/L3ieVEpZ71ckQdKZc0Nqe4XJg1oNY4krWkBVwlcx1jf2BEEviTwJDVfUQsUzZqkWTdMNBImmzHTrRGzU322rV/kvn0jPnL7JqYCn/VNTasuLLhrkkagaQQxzfqI+/bCo3vqXDBn0gu+SJsPRoprdxku3Dbg/icm6Y8Mg2FCb+CkIHepBzVqwSTf86IlHt13jnt3bwCj0Dqx5bCxIY5MXk8yGDnUh4ZaoAg8je+5+F6C72gcJ8F1bHY4K4OQ0p4fhEFQ6LkiOLclxDpzpHRmv5as2AzY2oK2eJ1lS4u7JbAU2KkVGefn3qC1oD8YyJOnTv9nVOAFtfpvAOGzBvDBoC9Ho+Gv3vL5j/y77vJpr+Y7JBqUhlgKG1Bm4JbGHhBlEwoqMSTK4Gj72h44g07InydZxs1kmTeDTjNxWbLCGEMp815ZcbNUdZbQUTLNWCpKRVs2++d7isBX1HxBvSZo1gytesJEI2ayOWJmYsCmuWXu3TvgV/9iPcdOTHL+rGayDq2aolFTNAJoBAm1IMJzh7SHthrSVTb+yG6JzrSoR6sW0Y81/bTOuj9M6PYl7Zqi3vUJ/CY7NkT8+g+3+S8flNyzez0GhTaaJNHESUwYa8JIMQwVA19SGykCT+J7Bt9T+I7Gda3f76is1iddVVOZIoSpNuimqX2TkohJa1mSFPCJLh4tQGX6KAqAp8+TnLXJV2ebhCsRWZKdW8OhIyc8oWo/92M/8gPucDD45aBW+wen8//BAO/1uiRJ/BuPPnTnvzl75nhQC2QKSptcURoSaa9YJQWxyoBs0NKCO//DsudaoLXJ08g692jBaGO7yNMS0PKdMYCnsjsNLK1EsTXlVhI5aSua60h8zw4ACnw7kqHmGxqBpllPaNUjJpoh060Bm+ZWuHdPn//ygVn2Hptm+7R1WJo1SaMuLXvXDPUgoR5EREnIX32piVQKV9oEV87gJlvCXX7glcvc8mBIN/TppwDvDRTdnqLtOwSej++22LU15r/+6CK/8gHB3U+sRxtJom1aPYptodko1IwCW+7q+4LAFfiezWx6jskzto7SSJXZtTY/kQO8SHkCKYlgcwnWbUkD+QzA6dQBnSfXSNmdfMVN1gJ2DvAUE+ndPpccOXI0+MpX7/i3r3z5S0Wn0/nFVusflun8BwN8ZeEARusbzhx/qObKEY4rc/2caFCJIJEF0JUWJFKQ5OnhDNyZ/Ej/yLxWomi/skAXto4iA3V24Me+V9G7mdaZSIpiqrSO3AJc4rrS1m94gsC3M0/qfkKjZsHdaoRMtgbMTba5b0+fX33/NE8enWXLlGCmUZImgUMjsPUrtSCm5oe47oiTi1O4SqCkTm25IshMEkkcKzZOGeI4ohMFaaeMZjBM6A4ltb4i8Fw8N8B1Jrh4S8x//ZF5/tOfw71PrSPR0gI8MURxkjK5ZuRrglAy9FQuwVwXXCd1rpS0ElGm1q3AykhRHMMyaRiTZoJ1yuqZPEyTQ1m2OElK7+tCciYlYGtdnO8cB9qgE1NatQ2D4ZDbbn+gtnHj9huE/IfvOPEPAvhD99/Cwoqpr5z4lKdYoR4I4sQGjtmVqmVRtZbI9KSq7LVl6sQh/yOrwM5kiMmBbjI5kj1/mu8mRVFEJSVIKXJwKynTRolMnkDggu9paoGh5lv9XK9FtOohk40Bs1NtHtw/5FfeN8XjR+fYNKmYa2gmaoJmIKkHinpNUAvsxWFT/SH37hb0hh6BIr3I0jY8UwSaUezQCBTPu6zLfU+26EdWpgxGCf2BousrfE/huV6qnye5ZKvmN3/8HD//Z3D37nVEWhJpnTZLFz2YI0/ie9qyt1vU0Tsqu5PKlELGZc0ma4E8SwqZDOAp4JPceWHNlVfn+rogMStHxoFO/jNJWg9z7NQS7/ngp72f+bHX1f/uk1/ov/mNr/0/D/BzZ44xPbN58sF7P/mny+3kRZgEz1VIqa0U0faE5suTSq/adNmyjF1c5VqJtVm7BGidA7toCibV3vnJEGkfvkzBnRYZqRzgoNKKQdcBz8V2AnlpgZWfUEvlRbM2YqI5YKrZ4ZEDI37lfVM8emQdGyYd5uqaiRo0AkGjpqjXFPWcvRMCP6ZZH3LHox4r7YCpqSJNngFG68xZUKybUbzsOT3ueEDbLppQl0AuCVxJ4Dq4jofj1JBSc8lWwzt//Bw//2eGu/euI9IOUVoBaMteLZP7kcyrCz1H4jhpEZYUKCc7NuTfL7sIM6kisqo0ioTQ+F2XHrUuPeYrbxXc5crOZPx1yViwpbwJ6OGLHn3y0J//yA+8+acOHTqycv75O/7PAjwcnGD+9NmfH3YOfm80XMBRbjqnxPrbMjFoKarLkxGpzs6u8uKKz+RHkssQcvauBJLjzJ0iPcvI5dpbZhV0he7OKgYdha3PcAyuaxuLA08TeAm1IKYeRDSCEc36kOmJNg/tG/ELfzbLI4fWs27SZV09YaJuUnCn7B1Iar5l/8CPqfshsR7RDX2EkrgZg+caXKTslfrFkUvDG9pygTBgKgP5MKHvWQb3PWlr4p1sA1rD5TsM7/qps/zHP9HcvWc9kXYYJYIw0SmLC4JI47sGz7W9q04adzjKlggrKdPjk3blZ4+lwqz8wizHOmPgzkmoRExlcOdxVZnISu8lYyXNGcANkpOnF3j0iUPf+9WvP3IwDKO/dzPn3wvgvfZRas2t2w888u4rlD5Ko25IkgSpBVLbPWWSFNxKZ65JFjiKHNzFH0o+Gs1kwaQpArGCKYqspCmvmRlrl4PKbLlNO3RUGkw5TtoZlBYhZdWDgZukujmiFoyYavWZaHS5d3fML75nlocPrWduwmGuljARGJopuGuBtRMzcNf8hMCLaTVCdh8x3P5QA09KXKXTIK7wKLLlO0oUsXZ48TURF5zf4+CxGnN1ij7HUUJ/mLKwo3AcN+9yEsJw2Xb4zZ9Y4D/9mebrT84xjGo2GRYb6mkNt+9iQe5kq5fOe1ulSvIVTklRArgogZxVeqUAuakCPK9QLFbetVbmgt0LQCfpZxbspC6MIU4Uj+45jfQfuOJ3fu0ntu89cOLorgu2fOsB3uucxPUmd5w7cefvjYbLb8D08D2PONZppJwCWmaJgUyGZPaSQSeZHBGrlrTMHza5pz3mkqxyS1LmHge3MEiV2YJpzYtKWdsxeI7GdTW+q/G9mMCLCfyQejBieqLPcrfP156A3/zrDTx2YJbZFNyTNUOzJmgEIvfKrfOiLXt7FuA1f0SYJAwHAYGyF5kUolLJlyVSbKDpWC3vjBiFhkEkSgDXeF6C5zq4rrRTBaSbAxwBV54n+M2fWua3Pxxz954ZTrVbDBuSycTQjA1BOnHAd03q/WdOisnZO5MqGcDz75t+6TLOc4WYnpRsVS3AXZWUtpqzBPYK0DN9Xlz0ZRa3TC7o9wecm19+w2duvjt5yQue828PHTl15Pwdm761AB90DhM69et7S0++qbe8F6X8tEnYWHNflr1Rkz/XZStJiVySWFCLdGnLEjZVKVIGeHaIy6owOwl23EOpoCsDdz4cyJbFuo5Ox0wkObh9LwX3dI/55QHv/Ks6n75njoXeFHMTkrkgBXdgdXc9DSxrvqTum5TBrfYO/BAIue0Rj+XIY8anUo+NqK5QSWKbH1q+w0uv7nPv3pBu5DORd6xrvJGtVfccC3BHGZR0EdImaDBw8VbJ7/6rDp+/d8BvvH89JxamGEw6THqCZqypx+BHdvSyp+xAIzcLNKXIg+DssRyoly9MIfJekfz8wJiELAO7FD/pEvgzQkvGAF/OexSJP4GUigce3c+2Levf1Go2/qrTGxz5ljJ4FPVwnPqFCydv/9e95UfwXGETDcLYWhNpkFqg8rRu0WiQGFk0HZS1dg7qTIKYwoYaZ+2yLEkPdMYsWbo5cwFUBnBlbDmuk/V22v5Oz03w3JjAi/C9iGZtgOP0uePRhD//QovP3bmOULdY1xLMBlaWWAsw88lVehcpc5fZO8JxRtz11CT90GFjPfs+4wyerW6SKFYEruKGSwbE2gJ8EAnbtZ51ro+0DQ6ddDZMau+JNLluEMxOCr73JT2a/ine/4UBX3tqhjNRjX4gacWGhmMsyJ00DlEmjUtMCvLsGIqidlyCpGDx8R0Fc6mSjahgXJuXu4eK2nOT6fHyKm7KDsyYzWjACIfb7nqS51510b9+y+tf8HC729//zYyE+4YAjwcHaJ/+FK43uSnq7r1J6Hlc10frGKklWhvrcadFOnqMvU2eVs9SvqIqRzKtTZpMqAC7ZD2U7SthxqRJlpUjdXPIJ19lzO0qW4vhuxGeFxG4IfX6EM/r89e3OvzW/1rHwflpXD9gQ1Mw7Se0fEPDh0baYV/zbbYzSBNCtn4lSVcCK08WOgm90MNTCk8Wte+U/pTsws5qN8LYpeYO2TA5YKXfZBCJdNyajRVcN0ltPpXancoCvBK42srHN7ywx7WXzvObfznkQzfPsRQ36PsuDVfScmwNju+Ap8ibIZws6ZOufDKXKkUCqEwqVbFSBjqVFVibqtQstPnYPWduUcgVU3LiDGjstKxb7tpz02I/2XRuob3/oaeOcc2l2/73AG5MwtTGl+8YrDz6nrD7CL5n0CYh0RKlbQ1xogWqBG7HWFmSac0sIWB0Ud+QBY/5QUCUJIkYkyYZuE3BJmn2TZYBLg1K2tETBXMnKchjPMdKEt8b4bsDjpyNee/nG3zy6zMcOjtFq+4yHcCUn9D0TZp6z8AtU3DLPCkUpNrb9+yF02qM+MRdDvuP1gjSCVx5uxgFyvMxDsbq8Ch2uHg7vO7aLn/+xRl6dYdWOnvED9O4QWkcR6Zj6yiB3C2dLLsqbJuV/OL397nivBP82eemOXRmgqW4Rt91aChBPQW6J429cFKXKV/9suOa2YdYfV5kOs1qnzwjpqx0IvfNV1uKpgTivJao/F4qaeP8vbTLCIcv372XF1x3yXve/sYbX3NusfMNpcozArzTTXBqktPH79qSdB/e6cozGLeJ1jEqlSLGpOBOge7kTC5LrF0u3inkiimztxE5CxSskNG2qejADNiiVKkoU3Bb1yRj7wTXiW3njhPj+yM8Z0Q3CXn3xzze//kNnFycRKsa0xOKac8w4WnqKXPX8/S9TOtUUmmSeuc5uD2bvRxFIftP+PRCnyk/dXGypFPmSmRZWFOqSYkcWg2H87aEKH9IN2wy8AS1yDDKAO4kaaJGWR9bZiXAawWvirmJPj/5hj5vevEZ3v/5Du/9+AwLgwYDJyBwFHVHUFMGPzaWzfM+2aK8IctyrmJy1pAr4w4LVGOpTIqUiKzM4lmcltcdZcDO2VwQCYejp1e49+End25e52155QuvPWJMVL3I/z4AT8JT9GnOGVP72JFDu90dGwM7oEdSArbApGBXRtqiHKNzcOeMncuTErBTwBeMLZ4mQ2lKdqApqhQr7J1WyanEAtxJcFSC50YEXojnhrSHIXc9JvnrW1t8/OszDJMmnucx4wkmPU3DM9R9Q90rwB34Et+X+Kk0sYmh1JlIAe65NvN5+LThaw/WCSMXv2FWBZjZrUhnWzIII4XrOrzs2i4f+XKPvScaDAI7mmHkGrwY3EjjhhqlpPWtpUjjnwJYFY9dS+q+w/rJAf/xe/pcsm3Eh25t8sDuCeYHDYbKw3UdAkdQk+BnA5Yye1Uam08QlEBerVkZL84qM3pGUOOOWPa6YO0SsLPg20BsSn2iWQ0M4AQe9z7wlPv219/wseXl9nNWOr35fzCDT067Mh48cr0ffmli89wyQhiUStK0rcBIkfY+2gDTmCpzF3KkKkvyewbsVKKUGbxS+GN7dCyT5yllnZd7Wt1tcFRiAa6SXI44TkS7F3HnE4K/+GKLWx+aYKndRNYCmjXFpGtoeZq6a6h7hppHytqWuWu+JPAUgScIPNIKPZ2CW+O7Vn8rZ8S+E3CyHdjESqpvq4mTon7G9kFakMdaEoYO61uCC7cOePxYTD9yGaUzvr0QCz6VTdbNEjUgxzpzsosnsyGjxNaHv+1lA1513TJfebjLB29u8cDuFovdOm3p0fMcPGUnHPjSNoI70u5Sp0RxkSqRlv2uweCr6lfGmbxEaJpS4GkECUUwqY0gTkEdp88z8BvAk4J9p0b8xnu+MvH2N77w+huec8EXeYbhQc8I8EPHz/pCmz/xhg81ZiYGxNrJ2Tbbuk9nwDYp2LWsMLUee8w63CsALx2QCi9UpImpFOhbWaJTza1RMrED8TM3Q0bMd2PueNDhC3c2+fTXJjjXaSCCALfp0nJgwrWdPDWXVHZAzRPpXaYlp6nu9gR+xt4ZwJ0Yz4sJvBBjIm57yOfo6Rqz0wJX6lTHiqLRt8R2pmShJoliMHLZvl7wsqv7fPKekF7kMogEgWv7Vb10slSxSqncr7Zz1CmOqynIJknvcexQ80e87SUDXnHtIp/6epfP31nnjseanGvXGQiPgefguApHCNtCKCWuMKnUMihESRpW7cM1yDw/t7r0qNPCrbIGT3JAW1BrgwV9PoUs1TgYholhGMc8dfCJxnkbrvkTRx+7BBj8gwD+dzc/yXDYpn1uwP/34110Zdxw2tybM3XWyS7H5IisgL1yEsD2Tq5RE1gJKEvAzrx3JTUiBbjjJHhORBBEDEcJe0/CkVOKj35pgi8+0OLccgPcAKflUleSpmtoOpqaa6i5ELgW3IFrZxLaMlNZuov0c5OCXOcg91zbnnbwlObxwz64brrMm1KKXlRQUA7CbL20IE7sOOfLzxtx6ZYee07WGQSCeizwI8NIkVp7OmXvzE3JLMhCq+Q+e2pFaq3S6QMuw9ClVhvxQ68e8frnrXDLgz3+5st1jpwK2HOyTrjiE/sOQ8dBKjvVVwFO+pgxeS5dKIL/Vbeym0KZvTNnhFxj289soV0OaKPBpK2IJLndouKQf/7ys2xoPTU5OfuD/2y5Z/58qrHWF3gGgBuzT0Rh/19/+pO/P/sbn3F4/fMVN142wnHtiGEdKaKo3MUuc6AbLSsyROcgh6wlqgB36ZKvMIIpaT6b1LCSRKe7PCT4vp2kGicJZxbhS191OHiixu331Ti5XOPgqQb4PqruEDiKhmNoONq6CK4dnB+4dlybBXF2l+ldpQAn1dwpuN0E37XsbS+skMPzsPtIHVdW7cFcolDUg+eOQuak6LSvMXa5dPuAC9f1eeJQTD92aUaCkQNebGcCqhLApRQIKStMXjBlqYxVZ/Xnto8ySlxGrkerFvIDrxzxwis6nFzucNv9HoeO+9zyUJ1TiwHJwEVLh8hTCCntSpF25UvSjCfksmUtkFcCTcpZ6sxtyTRqCmhSz9Ak9rnRENrcvXBihEq48coBr71xxJ98/MDk97+l/zOeG79/NYq+AcAfefgzJEn8vXuPnGwcP+Pxjv8+w5U7Q266dsilO2I2TWsu2BHhG0ESSjSWKQrJUgW5lSbFKIeivWw8sDSliL1g7VyKqATXT4gSw6HjgscPKb50X50nDns8dbhGZ+QzCn1wPVTLxVeCuoK6o6mVfGDfyeo0srJZWxfup7LE8xSeJ9MLwBTa201sZtG1Oj/wIowOObskGRkfx5F40uCUbLYxAs9BnuUOsn7HMHYROMxNh0g1pBe59B1hnY6oKBhzlK5kIKUoRbHZsCNELhez1rJsMJKbqHz8RH/ksWEqZNv6iGvOHzEIB/zzw22eOOLxpXsDHj8ccOhYQBQr8BVGKhCSRJayQXmSYg2tUhHnmQ+cPerSYwZuY8GtNUQaRyTs3BGxeTrm4vNCXvzcEVfujFg3pRHhE3z5tr9EyqcXImt+8hcfvplb71lRn7/7QfH4Exs419OcXUl48rDmlvsiJtyYbVsiLr845JXXjnjpVSEY6zXXGiYFswQtiCPL8FkgaYPJDNTls24BTTq/xHUMCI2Qhig09IeW0Y+ckHz4Vp9+pHjkqYADx30Weh6jxAPHA+WiWgpPCmoK6soQKOw4M5UWHinL2p4rbNKjDG5X4qWyxPfA90hdE5sydx2N58ZpRjSiFoScW0740t1N2l2fqQmBk3rxWdGXeDpm06WAUEtGI8XsjOJVzxtyywMDjrUbDFxpZYoDbmxwo8yzTj12mVi7kPKsE5n/Dm2cSslEkki8RJE4iti1Yx+iyLVWqhvR8CJeeHnMDZeMeONNQ/Ydlzy622UQKj70pTqHz7ggJP2BQxKqrHwT42QAH7OMyunbCsABoxGJQWiDSach1Bo2ISeM5qVXj3jltUMu2xWxfXPChAuzLXsRh5HHv33TgG78hAiaL1Vv2/+FeOuFq+vF1wS4ELBuauLdS+fklYujCYyXgBOidcL8wGO+m3B4KeHuJxI+9qWYuekYow1XXxTytpcP8167uQnNVZeHNIIsRhB5Dmz1ORf5cJ52X/DoYw6LHUktkNy32+WzXw8YRophpDh9xkMLh8i4aOGC4yB8B0dKPCUIpCFIge0rg6+MrQF3Us/XKZjby/oyc3CrtEdT5OztuRrPywq0kpy9PS9CqZCvPqz45D1NlOdYu62iv5+ewTMvPEkyx0MxHLq8/vkDPn1Xhw/dNkEvDmikOtzNdHiUJWVM3i0khMwBZn+VLGn9EsB1OtrBsUzuOorYcXDixAJdJShlB+lPBTHP3xXzvF0RRox4y0v6DCM7zu0zX/e5f7dHzRcsdBSPPuHR6ctUJQmeVpTnO0/Y1sCrroqYnUxs00OiedvLh1x1YYTRMDelmZ4Ehd2YN0kkw4GykxQSByk8lHavFGr23cbwk98UgxuzAMy0/uqjH9/liVAFriDWLkZL255hYnA0WieMdMLZtubsil1e9h2r89mv2uXGJIaJKc31V4Y0a7b+d830ZPlST12HlZ7igcc9Om2FdKSdiWIcy0zCwc4FdkA6SClxpbBglgZfajxpgeAp8FQxo8+CXBQND45tBMgaj8vgtgyfltW6GYMnpXuM70QYE3JywSMcBfgTEk8VsxczHznPYgoK8ipZp3l3ulaEkctUU7F1NsQTQwaxzyAW1Bw7BDOrIckSWkqWy1uL7Rft78icLl1kT7VOm08KaRTHSZo3UOlc9pgoTlCRzSU4KkHKmC2zOl0xNJdsGxKaAdLRtNuCBx53WOlLVK5YqkF1hdDTOpRGoLnhyoiJKY2J7cpeU/bYWZnroGNJqEuxns5mszgMQ5dOz6iEwa7ZC9/U2ne807loa7V3cxXAT59exHXa73r0wFMvefJ0B02AKyCSDkZIMI6lY1mKcFMdFRtNO1uClKazYjj91UbpT1wL4GX9lp4cIdDZlgukNadCFUGOlKmVlYE6TTtL0o1bM9+49OiknfSKdOs9cnDbti6Fl4Lbc8hLTC2DpyzuaLw0O+q6Eb4fcXxB85e3NMDxcKUoAsxcnohVDF72h7MhoRZs9uSFkcvbXzXgU3cMeOpsk17iUo/tprS2CtAUnTgqywmUg72sdDGTQrJU4JXddV4L4zgKN7HzUtwU6EoWSTNbN54+FzodHJTgCIMwCbN1zXe8QINIUpkJiGz/jNUOWQEHAVqRRJn9bCVtlI/ek7kTlyUUs2Olta2sbNWPc2j5wZfM9K57l9LxT39DBv9v774dpYT32a/1CGMXzwVpQBnsoB0Ddvfhsp7KNj0ae64MiVupVljj783YLQN4NXgRUuYtaEqAK2xa2Re2WtCV9rUjSWsq0u7xrJDIoTQHhXRntqKrvgC4zGWL75m8pc3zdGlwToybsrfnREgZcvSMYL4TIBwHX1KRJ7L8Z5VOd1k6VICXOh1h7DLTGrF9w4A9Z0YMEodhAn4icBODG6c6PCZ3looUuqp0KmSxnbVxs64ZUZJGGifRJEqinGz7cpUWq9ltZZQs7kJqVApykf1u7JQsIU3uemVAzxywAgJlZs+Se0VcZrKhqay2mLUuAV7beM53FJduOE7S+bRnnZdvAPB7njiBEIJwNGLCS7fTpih6yTJLNnWapWIzwBelkwWgn0mWkHbllArrhUBSpIizMcuuMLgiBW02fjl9nr+Xkn1RCkreYOspYcFeAbe0j14G9Cz4TMGddf84OpcormP1qedFxER8/q4aZ+druBMKr1zDUXZQGFOk5dR1uSAtTfoMR3aC7Wtv7HHXY0M6cUDfcajFmjBNpytZFERlBWdCaIrOoSzQzKo2M+swnaliIFH2dzpaECuBk8h0FztbyxOnQC+SaTpPsEmpS4k3nQ94KsCd2rz5XjFPc/5LhXaQJf+Kcg4yq1mX8ipklaeC2EiIIxy9h7UUQgXgH/7YLUy2ghf88Ue+fu3ZMwmBMvmVZgwk6KLegepUKZ3XHYjc73xGXGf3LFkgQGWPwuBAbrWpNGVs55sUGldlwM4GeqbypAzsfA6KwvYjrgXwLODMdLeTyRKT6u1qLbnnRnhuyJm25qEDNXC8dJi/ydPzOYNTZfHieJaq7vIaaJl74lHkcvUFI2YmB7SX6/RjRV2BG9u/RaXDk1RUBjj5sFP7i8psmJ4bbfIpVVrZAjlXCxIlSZQmUYI4BXm5eC0rh5AZyEugzkomBDoFOWlJc5aJLpJ2lWKMSv2KKIFd5HFKJWdSilvyfEpGFLJ1rT/9uhcc2fuGO3fsetXaAG8PIkYJ3+Gir5JJiOu4tiMDY//jUHRvkHZrUAqaKKVn17ieRGqflM2k7CrPsmIFOEzO4OMlnE5WG5HWgGelnra5OOtUsbJE5d0rBbCz5lvL3qnmdsj1dmYJWsYuwO3m1YkRgojPfd3nrieaSN/Bk8LO384rCMvzWcp11MVJzZfenMVtoJloxWDo8rzLBrzuhV3e+7kmYeLTSyRBYhjFpCtXuepPp3JOj11QT8fkoB2Zj0zLwJ0oiVLaMrqU6WiJbMc7XQJ4CdiyWkZRyJRskS7FYGI1mRtTPS5UAF6wuCldAPmgUARJlOAqcVVDtr/DEN65JoPvP3SC6cnGq97/ka98/5GTC3iORMiCZTLGIXudP2a/2OSfVU5iibGhkIdlcGcAkCVQSIqah/Jog4y57RYk2WtSBidvw6qweNoN46oquO04hTHmTns2vbS9zXWyhoO4dI8Iifib21okxkfl2ctygFn0NWbORkWDM9aup6WdDpVkwaaDwOVtL+3zV58fsaIjBknAIBG4MTmLS2mQsciLzqxdOL5+SgprUpRALkicdHSDSkHu2AYWJ5EkyqASW8Fos8cyL00uLMpydWdRxpw3peRAL6TKaoBX1/aiPqlUgGfKzF7V7wZBPDqLjle+f92277i91z5xS2NiSxXgYRgxGIYXDPq9nf1uB8/zVrUiVYKW9LHyM3zjmxAlJi/JkxzoY+WZuRYf05wZ6MuzPZQShRZPK+4qw25SYDtKFE5KbgfajnvbmGxS5i4CTKfE3r4b8tAByf5TAUa5KCnxpMYZr9MoCfBxFyW7Z/2pWQNElvRJEkUUu+zcFHHp+T3u2VcjUh6DWBBIcBODE4tUvqVdOHGqw5FWLlR+pSixuChJo2KURzYT0lE6BXfazqZMCdxZLZBJywQyJidfPUQJ3IhsYtba7L3WrVx4lzF5zvQlm7XM+MPRgPpguDNJhhfoJLplFYOfm1+iPxjS6w3ywndTyshkanytwvbi82f6+sVPlMstxTjQS+BWec13YbsVkkXY7nlRgNsGmSLvFndycMsKwMvDf2y3PTmw82xlztwJnmMTO7YrKMIQ8be31VlcrCF8x/ru5YtwvAalIKcKYWTNt+U67tyb1ooocpidlrz1ZV0eOtBilAT0lUctsVo8K2dVkhTc2VqhU0+8HA2VssnZ70znPZanUtm77dbKphJkzy3AZfp36rxtLuvyt+OyyyUWJQYfa1op0n1rW8dVnJXKOSpBaXHTRhLHAwb9RZJ4mL+fA/ydf/JJlJQsLXZQSqWDYNaAqRl7XAPET3fL/P9Cnow9lgFdZvHKeLGCsWWZwZUosXgmVyTKqQLcc9IBQG62dWCa4XQMbp6K1+nzpHJ3lO3ceeoofOzWJiPpoaRKs5fVC3E8g7lqWS4dz6oOT7V4mszwE4e3vnLIX3yxz2OHakTKpS8lXqJT90ggE1M6Tsa2l4nymqrT31Xdt6jM5IkGJ7cQ7WhrlZYEqMQUwzrzuSwiv6DjMT1e1BGVGySK2YdQ1uXPQIkVlk6BvxbUBCglCXuPsnD4kE37lwF+8MhJzt++qf7D/+Hd5508tZy7DvnVNm5fj71+hvRN6Q8af75aez+9RBE5cMbHIcsSY2dBZja1yXGyTV5T7a3GwJ2l792sMVnbmSF5i1jW0xmn9wjlhuw/6dANPVBOKk/MWHns+IVbPSDVgUZjXnjajVMkfhwarmDX5iGP7Q9JtM9AewSJrdl2Ug2uhN3I1SaWMrbUZEFmweSFv5x1uDv5YFP7XjYw1dGkHUQGqYsJAdl0rSTr7s8NgCK4zAPPsfOdIWZVw8TY67XxJsZe25sUBiMlkoh6c/q8LZf+fL3b/nf95sRmC/DjJ06zsrLyymsumvv5/U8+gXTsXjpPB+hsdTFP8/l4QJm/J6qfCewqUQZCAeyij1GVWFFVhmpmIKeokVYlUOfP0ySPIvXCLbgtgIuhQG5ZnpTZW6V9nV7IUlfzP/+uyeIgQPiulSfSVFaVYnDONxBtec2RSBPCZQa3jkocO7TqDu94c5evPNRiceQRSoeBlHiplCxGPqQMXq6nFzpfig06BbfGIMecFZEyuMmD9AzsSoqUwa0kSnIXhVymFDq8aCcsZEoWeBZWYeXYrLHKrcLb2HtZTFhcMJKzCwbVOu/nz57ee2cS9T8FKYM/8cRufN/j5Ilj1L0YqVySLCE5flLS//g3EyxUAF1+PcZuhQYXBcjluESpDqbJgS1tfXo+oakEakdKnFSSODnAM82t86DSdXQObtfJ6i+q7O2qCM8L+ehtLk8erIF0kVLiZ6WxJWsz3yM+/SOftpqQgs2L7vIC5LGW6SZPLpfv7POGF3b4iy8GaMdnID18KfKkj5KCqBTQjTO5KDP5mM+cSxUFythVQRthwZ1NCdOQ5PNTRAHw0qMFt0gzmoU8yZ2VErFRAfw4bjJEF5+WHagK6NOf0VowGMboE6fpDZ8iie3GEA5Aq+HhBz6thkPNE2hhdV3hnoxfOd8ksEtuiX07K8w3qwbKVDzjPLAUBZvnDPmNAC4LgOeJngzgxs7JTqWIqwq3xC0NByo0t2Vv17FTq5bbms98tclC24cgdU9EKRh7GomCENUTWYpjVtl25akESeamOEy1FN/5kj6fvmvIYs8nVA6DRKb2pEjdG1E0Y8vxxIpl7+wtnbN50RvpZM6KSp+nY6+1tKOvs+NeBrlId87LpWQqT+zqXNbjYkyuiCrAhUGYFMblBtaxS2At6aKNQCeC/kjhRR6xDojT1khn8dwBpqendtxzzwM/c889ZxFKIQ2gyg3B3/xNpBdeRmCGsZNdAnr1LtaWKFnipALs6uzvcoeLHe5OFdzZzgYZc6sSc69i8GzcRDFywlE2c3n4iGDf0QCNj5BO3pxbVA+W4wdRcjWKP75ci5KDnLEZMrpwVLS2wSbG4eLtITs3DlncU8MknmXxxMoUp+TiFOxZLvTK6oRkwYQmZXNT+ORaFnNKyrGN0vai0ZJUe2fnpSCjHNxapLNUMk0uxqSKGMNDAWoxdlmOY6uK7+oICsdRnDh5BlXf9TO7Lrn+kUeeOHDEWeyMSERvw6ml0ase3nMWVwa4ztioA/MNftNaH4/p7fHHfFYIVZBX5YkoOROiFGwWgLYMTjoKuOyDl+/pltaqDO4SyNP96t20NDRjb5W+dpwIpSI+f0+T/Qs18Ap54pasy8oFy+pxEeO36pizUqN2eXezrIw2dDh/NuS1z+tz/1N10C5xYrW4m6TZ3aQqlQrmLFtyKciNKUmUklxJR4IYma4qMrvbY5+kK4YUKavrbIU1OTEVCZ/y85SlS+1tedtLDu7ieH1TEngMms2awZGHWTd91at8t7NB1PtHnLOLdhu34+fg9CJsnUtPjqyC8pu+lb5gxlxPaw9mB4Gq1i5kisjLQMeBnbO5EqUm3BK40/mExbYdrAa2UwwIyke8OToFeWzliYqo1UPu2av41FcbDIYe1B0cKXBFVZqMf//y3/x0J6eiv8csw7IvHsUOE02HN754yBfv6nPfXg/TcBkkPp4gv9BU/vsLHVxaS3OQl7ecMmmNkTECoyybJ9LqcV1i7Syo12lwKbUo6W9RCnSrMVShu4u4wL4ncqCXwf33AXh+jFM3Z+OsZus6zeSEJg41jjQJ6ISGY1jXkvgu+XSjb/RrhCgO21qfZY+rAT4uUaoTTYvgUuSgyeflqdLuDUqktSkFuAuQZ2WzBscpRig76SZMjqoC3c3Z2t6VsgGm54VEYcIX767z1LE6uC5CqhRU6dyQUnApZPWkjrtGGbJz1k6TZ6aUycxGcGRaPLMLw9Dhkm0xr76xx6NHaoxij0S6DLTCSxj7LpkXzhiD20cz9l1Q2cWm0UqgskImKTDKlkxnejxfUSVIXZplqItVQ44DfDwuYQz4z5DpHAc/KTGUiUMawSiEhbjJuo6P3xKEI4Vz881fwHEUS0sd1k+7xXIx/h9cm6hXXUlVgK8ev7sWc1dBnTF2OcAsdiAopEnJKswZOwN4MTk1lygpc1vGNjlTO/lj8dxNg0tHRfheyBNHBbfcVac/8KDhIkVWOUjJHlwji1n6O8tHLatFsegSVAfJjyV8SgVYYeTSbIa8+vkjPn3HkEcP+eB4DLXES7W40naD3bI0EAm5PCAZyyCqwslxFIV0kZbNs1UlC/K1sWCXuki0CV12U9JzrgtmH89xrAL4GOifCdhPe0uwUx6SGg8+9Djuk0cwOsEZ9FaQUqCTiGbdyQeQF9mjb/62pu+df3FRuYLXZHFZAntZc+cgt3q7nM1UKq0wTCsKbTtX+twpzwcfA3d6d7MptGmBv6Nie3ciXDciNgmfu7PG156oQeCAtA3NbqmEt1IaW76XX6xxq8zUJitnJW9GTkw216QA+mjoctPlfV77gj5PHg2IYxcjFAPh4Cbk30kkBYsXX2FtJi8PsVcqY27L5va1QGqR6/Dc788YPVttUwbPh3aOgbsScFZAbijvgDGOo6cLOMd9ca3tuLuk3wciwOC0GtbuUtIw6AuidOfZbOn8+wNcrGLs4rl9IcsAL7V1lXcWqAC7IlXKafrSXY2BW5XuTrEJagZotwTqzDmxjol9VCrCcyMeOSL52G1NwAPpIoTKu4hUupGqHGOn7O/JYCUQYwCjUqBWMHdJg6fWl1bp6Iek6EU0xuFtLx3wpbuHPHDQThKItKKfiLTgKwVdkgGnVAdSQAKwqweKCtCzT1UKei3T/XyyoDjT3jJlc2Ef83OoSwM7ZeniryTACklSHK+/f6CZF/8ZWzA2imAU2dJtATiDkS2aCUONIa2AU9UT8LRMvkZQUDB3IXUKDV6asjqmuwupItJkQWE9ZQDP5+SVQZ62phWbTdmdHYoB+AW4K6xdeswaazOpolSM68ZESczt99V4/EANXBekDS49YUqTY8uBlVgVWIk1DlbluOY2YeZqVGepZzMGtUodlcRhFLpctnPITddbFh8klsVHwmOowUlEEfglmV2YZueS0kU2VjxXti6VBKMM0giUwWY/jUAYgRFW8+ZSpRRUFuydnlddvvBLc93XyIPYo2RWA3wtpFe+d5GRBTvmQ9gvjTO/HCGEIElidGKXKGVEenWnB+GZWDvjqDLYhf13eS105aSLwr4ac0yqe8SM1Z8I8r138t2Ls+bbSsNDsXWJUmPgLg3Fz90TlaCcEsBTieI5EftPCz74xSajyIW6m8oT8tY0Vd4luOycVKLqpz9BZaCXZUp5cwBt1tLiDg1f8oOv7vO5rzXYe9JefIlW9BNlqwyTNPmDsPo7EYVbUVpJ8irREsClKbS4TDW61AYj7TkyUliA61KslDG5LsdSa69sZflmn5sKCVI6fM9c61AtWgObrZ5sGYLA1rmr3/+9/7HeddR/P3L02MVOWm5aAVj2fI27EmM6uSIpxvaqHP8se19m44DTx3Q8cA7csXs2MqHsceePTqG7rYNSBXd5r56imCrd/cGJ8mYG1wlJZMhffLbOX90yCb4PKkAph7oy1JRJx1GQNzi7pda4IpNaTkRJismwVALUIpYobMfsohWStPG36IVU0iCMZuuGkJMLkgcf94iFnTyghUIIW0q7VtxTNQNEjhBRfm1KoiYFe4k0C+cHxjR8Ov87e+/p7qXPbV9BaUgr49OHyxsjrFVmLPKNFYyxf6+Shp0XXbXh4stv/LKzNH9qUprBawI3wVEOVRtJPGMms7yEjDN51fssnsvylTz2Ol/qyqxdqQM3Fe0tczAUkkSVtLfKd3oobUSlzJgkySoFM/aOcJ2IfackH/lKPZ2/Ytk779zPfr+gMl5Ylv7ucqApyi9K2eEKOHS5NqSYK2jy+et2ZIJOFIlKtXji8D0v6/PJ2+vsPuGCDDFCMkxcHNJ6kexYJ+lZTLLETwbVknQyJu2QsbOxsu8mU4BJA9JY2ZLpbmns7zA69cd1GqBWVucqm49LE83Ye2vgqgK4ah1gBaMiEZwbREyc6b6mNzo+6QxGQ6I4wnMkSimy/kvz94gwM/CWHsYYoxxNj8mSso6V1edlgNsukkx/l55nQM6q3TINXgK3nciq00drByqlUZnfrWKUjFGpPElUzGfvbLB7f6G9pZDW+847aFjzBArGX1dO0fj5KfR3mfW0GEv42M53ndiZgFkKP4wcLrlgxOtf0OPgR3zCRIFwSITDQAicJLXvyALdzFEpexCmCIEzSWoEypi02MlKE2NMqsXTuzBFil+Alhb4OpMpJR+8DPbyirIK7GVQC55RnYwfyzLLh6EgCiOSaIRjjEQg030YJYnWdgmg+AfPDOzseXX5q9pB43/g6kTA2s0NVdbOXmesnYE9Y+4c6KrM5IXuVlkQmW1xIjWOLIbmK5XguhGHTiv++BMthtIlm6BVdM2nK0i5Brr0d1TtgGc4MdkJydPkhqyFrUjZlzW4qNSnJNohTlz8JOan39Tj726vc/CUAyoC7RAJl4EQqKRwNGQ52BwDeebNG8ApN5MjkMam5w0mZe3ME9cVNjfp79FSIEyxeqw2E1Yzdxnsa+dUvvGxzDfYjW07nVIKZ9OsIJCChTOCQSggtl9CZz4LxTKw6qoqg5vqFZql6FclddIqt7UYsAxsMcbaWSKlCm5dSBRZZXCn4m+nYK743aW7tCzuOiGdUPPeT7c4ec4H5aTWoEzlian43vnz8t9eYalqouvpGKhg76zxoNyjmaXwZX7PmyGkIokdNs+N+PE3dPnND3q0IxsQGCMZaWVtwyT7HgYSQaGwC5AX/28/USly0vlNxaMsHB8pTcHgpnTuUsvQ5Az+9AFnhhudAbmMoTUAvuZKmJU5pOBebsecWYiJTIIzN91Fmh6NWkR/5Oa/WKkSg2d/9zg5Zexc/nL5c1FZejJwj4NhnLkzYBesXUxpzdk7LbgvAF1ickenjK5zaWLliC5JlYyx4/zRURGOH/Hxz/m8529bjLRr5YlQuTzJm4rHLLGK7s4lWeUUPS3zZMe3sArLoM9S9gatdZ7dzFP42m4FHjgxP/mWHvuOerz/s1aLgyIRkqG2AadMyBm8KMDKTlZ5YoKpBHbKFJLFmJTNRcGYMg3qRJqk0qVjY/JAtyiy0mWSq2BGVPFTwg7imY9kMcbE/pveKOFsNyZyY5yH9hmWFg0HjsUEgU5370qB+3Tss0YgMO57V5Zt1tCqJSYs9JoZkyimFGSmW3SXtwxUZddBl6RKBuYSk8uiOjDX3fmjnTW4tAx/95U6y6MM3BbgrrTa2xFVeVJZdTK7rLKyrT4rZa1dPjkZC1XlCcXWi3qsTlxKlFZo7RAnDhNewpte3ueTd9ZZ7CqQEWhFhNXj49WFYvyEPg2T2zxQkRTK6lOyYNOkLJ4DOvXJM7BVZah906qkVMpAccGtgaWK7H1mvkBg505euFVx8S6YnDY4g0GTwWBEGHvU11hS1yKisiQpP8rSFSdgVTvamgFZue1JFDq7AI6paO/CSlsdVGbDaQpwJ5UAMwsys31unBJ7u/WYz3014L7Ha+iS9rZNDZk8qdab5K1ZJfYue/5lK/xpmYKiDiVj8XIJbXmzpjzoNBJlCl88TlwcHXPD5SGvu67PX37eAxWCkBghGGkHJYTdgiQLNEUB6nG5klmDxli7NmN2JQsZZWSpUEzaGS8V5k4tO1PCgM5ILGNrk31WWJprMXeBqSru1qJ1YcB3HBqOT8vxcC7ZAcsTgqQnGYS22L7yb8eXh7GTVnlvTKaMAzu/CKQppMoYYwsxxt6iCuzCRUlfK4OTjhiTMnVMpEl1dUmSZI6JLEkUad0T3404eEzywc81OdP17H7X0g56V4Jix4axeGGV7i77zt+AbXI2zwBFweyrtlrUhd9b7tlUMnu025+sbyT80Ot63Pm4z8GzEkQEKDSSoZClTaQsqDJQi8pVWMik/P/zbGZ6HspsLuzzDMyZbMlWYvtZNvvd/n5dXknyGC37HqXnZRUhKL6rEWuSsAHi2HBmPsFpGmba4PSiId1oxDCOEcKrXjmlK2itq2sc3ONyJAM0gtISWdXd2dKVH/i8vrrE3CoD/BjI8xnZ48+TXHtnLO5k44BVjJIJTmoLel7EKNH86UdbfO2hmu1tk47V3lLarh1RzF/Jv2u2spQv5jWYvIzzVQHSeOKDqhavls+Wy2htu5nOHJVEE0sHFTvcdE3IT7ytw6/+qccoljYDpSVx6qpILUrfzaQgKhvLtiWN0vezr0UpNki76w0YadIAU+QXQB505he9GXNaVgeUZfys6ajkj0X8UOCz6DkwBgJvSL3epV73cB7YI1hcgOOHE87flI3pWkNLjwF/FejH3iu+pFlV/F6wYHmwzxrsXdp/Xq4lT6TJu73tttm6JFFKY38z3Z3OuM6DSxnjejG3PeDyya/VGYUu1Jxce+fsnQe2VO5refvlZVVkB38tFh8rbMpHkVXADUZlVYbVWvFES6S2UiUDehw71Ooxb7ppwK1fG/ClB5S1DZEgJJFwGGSraA6NoiALLAvnpbylVcZahBmo0+8pQaV/X/Y6yyZmQM/OrxEiZe5SsCtZkxxNBui07e7pwJ4de1OyJANPcf4mxXMvhakpcNY3HVSoWAlU3oeXA20t2TH2i+TTgtysAejVLC7KervsLcuSY5Hp33w/dfs61975JNQC2I4aA7oqwO2k4PbciJWe4XN31tl7OrDSRNiSWJFpb0FpgpRZBe78b8uPjygB/Rn0SQZuY1kzs+Sq92Jv0dXDgYoaFSkVUidI7RCNHC7aEPG6F/a4b7dHO0zTr9rq8RBFtg+EJPXGK2W0xZpjsMmd/IJMZ1WqtKWtYPNMqqQJH5HWkOdAF5RHSOQsbgqGz3H1NOTJ+HtjQCftQBLC0OkHzC+1iGnhbJpz8KXL0lkXx5E4qmTZjbH307H6OKhX6VPIHZKM3bMipQp7iyyoLIBdgDvzwYvgUuaD2U2FsSsBZZbIKbso0nbKaxL+1+drvOcTTYxwrO9dYW8K7S3X+N5jy21xEkoa8RnYu1LJxxiocyZf3cqms7S91uhEoqX1xZXURImLVJqffGOfA6dc3vNJhyguQK4RjIRE6WyQRJbgKIE8B3WqK7AAyuEvTNHwmwFdWCDL7J+JTKoUIyYyq9CIkvYWRdCbxQYFruz3KmRfWbfbX5T/fBo7hjEMluHkOejH4Ght9yP0HHDcb1w38HQsvepnMnmyiu3GxoyVpUrJ486YvZiJl3rfY46JzMCtxuTJ2J71Kt17xmrwCNeLOHBG8snbG/R6LtTUavbOa75Lq4soEjzlVW38eSVA+oYMXgJ9SbJUdzfI6j1KQJcZ0CVaWi0upUMUJTQbMW98cZ8vfr3GgdNpUsEOqCYRgkGqXIUAoVNwmwLsJgd16paQJn/yBSdzUrLUvWVvlYK1kCdVoGfAluP4yY5dLltE8flaqmEM7PZ3GDtPJtYYoxEkOMPIYxS7CGFHmmUnpLhqqiz8jIy+xs+VPdCiX7HMgKYiT0Q++65wT3JwZ8wtyoPZM+dEV7bbkCVZImXqmKRM7jgxo0hz670NvvJwzQ4Hl64F+Bh7Z0VetnLSVOKTauFYiclLy+o3c8vZPE/dl9LPOs0e5rtHy/xE2uRPoccTIVGJRAtFNHJ4+VUhL79hwPEvuIy01eFpJRQxDkMBUpe2rRIiN7Cz1I/K0ZA5KmmtuCAHvhGiIHtjz6kRaeBZAXqRUdW5BC6YG4Et6x1n8tQ7t7NT7O8rXJdsZcgszwQhYLLlMzddx7nowu0rp0/EXxwse98VJ9put11Ocn0zwC7/TOWzcR1eMPZ41rIAfYmxc2BnQC/KRqvOSVV/qzz9npSex0hpO3WkF3PHAx6/9YEJEuMUzolUCCHtPkCiSMtXGbzs+KzN3mvlDp4W2RkDrpIppiJXNNnUq7QYSxSOSq7JpfXGhXaIY43nJfzCD3fYe8Lhjvsl2hMpZO0fEGnFgLKgMiVZsoYmz73wdLXNvm8aUGY6XKQXgM4lq8jrVHJyMGPv5fFLNeGTXRCUfqYiW8ZcoCSxk3VjU/vixPTmFfX6l23okZw56Ln8xGgU52tBISPsF66MRihV+OUzA8vvZ8GYWl0wVS6SKnvaRWVg2QIsJXJKAWVeUPU04C5LFaeS0LG9lieWBL/1wQnufLhhN+WRth0N6eJIQU2CL0k3uTKra7cr97QBOh+SUx1GlNW8SzXWMF06vsVrUbrox7K65eNdmgMoxqVe+TMDszMxvmO47zGPlUGptiANM7Mp4kXFYbb8VyKJb+JqLV0I2eVSkl6pIKn6/pQkTukRCpItYhWR/jdLH6TyiXy1M4RRwjDy2H/43A/ddd/je52zSyECu9tWNudtVdtVelXJ9EhUGCtbXljN1BV5AvnMulyalAPMyrYYVWki19Dc2Q4Da95VObBMS2HT54mX8MFPT/CprzYwgQKhLDqFg5Cy0m9Z9Dc+Q8d8mVlyobgaF+W38wRPlcgLmQKVQLM6vzANMtP5gSZlbmN0UaMiJFIrEuEgBwlvesmApw65vOt9DqEfV7Sn0S4j0u6qLL+eWBPbYApQpixqSLObaX9YagDZYFOkASSWzaWoLgjZ+Tc5O5dW+MRiS5oqQ487J1W8jc9gBCEkUy1NEMRoDc6+Yy7G2O6XVhDjecUeOMWMuXFJsoZkKS8/q0BuxiRK2Tkx5CN4ZQnoJalSFFfp1PceA7jSKYAzkJfBnSBLtSdfut/nA19oMEzSKfgiswbTrKUwFe29Zmq+DPTycRGrL/5vxH4mDe4y73lVRhOzqoTWyFJmU5acFaFsYZZMi7OkJtEOvqv54df2uPtRjy89bO3CzBtHCrRxGGnbjpYXkYxbhylScyklBIpMmpRAnjU9lDR39jNZlaGoHEtRgN4UF0j2WSFXTAnoooKtTAYpJagHkq0bPKYmHOLYrr5WO2mIYlusIkpLZOGmmDGQp+9lX5gqyCugL83MW+WcZAAv24NlcItiZy+1Sofrqgc+zt4yKQJMJ6I/gt/48wkOnfQxTrFbckV7ZxKpAuwxQLMGmHMIiyqen0GQj28iUM1olouvynp8dW2KlmnFoSyzuEIkGiEcZKg5f3PEL/9om7t/zqc7TP8YLfPvleAwzKRAlnLUBciNBHQKakPusKg0oDSSfE9gIzIdbkpJnurqZ8YBWpLG4/ghY/z8cJZxlo4bSUnYdSXGKMJQ2UH+MzMzVpSHfXS0lPYTFvp4tedtVn0RWb66SgxfbgYoz4wuJEpp9O6aEkWXfPBSX2LK5jlzV1yT0u68qeftOBFxAn/08SYP7wms5y0z5i6cE1dUZYkSVdYWZbCPMTcZCYhi6OZafL2Kyceck6IBgqKYydhiplXVhsIyeB50amlBnki0SO9JKlW05uqLI97x3W1+76OThEnK4pBHhQmKkc60eJprL4E8lyiilOUUdoNeU2ZzCUIXzC1TJZBnOUsAlzngTSnxk/66p5HBlCzYbB9Xg1054jihVm8yPd0iimKcN33XawlqdQ4deIr77roZ33VxnfJuWdXltgzgtUBdBXFZqow7KFVAizFZUujv6v6MBXsnhS4vJ3Uq9zSwDBK+fK/P+z/epD1wrQeYet6kTbrWOSmyluVSXlX53qv1d36MKmGZyF+LcUCPsfYqvFeAbigngArWTqfCZpKknAQS1kZMpEIabetVYkUr0PzYW/o8+KTPrfcoqMcpU6ffUApiLRmSxRQFyA22NJbctrSedxqr2rLeTMLogqUz+ZIHw08D9Pxuquyc5aDG8y/luEboovliFEacf8GVPOc5l9Pt9nB838H3XAJf0qglNAKZau9CG2ZypLzijoMaiit1XH+vBeyC1cdkSUmSFDKl2GHXAjyp+t3SWoEy31fdBpZSxkgnZs8Rhz/+WIsDi55tg0/9bvsoC/YuNTxXQL6WPKlIk7FpTavVSFWlrHIXyixeJFbyRgjWSuOPDQnKCrGMzjeVFZlUEQYhHWRk2Dkd89Nv7XLkjMP+kwLjlAWWAOmSpCBnDOQZ2lQOhNTvhpTFRR5oZknCsv7OpEsZ6NnxLRNp/p4Zi/Uo1fWk72d9pACRNJgkQWuBki5SODi+q/EcQ7OWMDcZ4rgi31Yum88BlGZ+l8V+tiyPyZAKyFdvcVGWJxXmTqWKSmVIweQl3a10+no8mVMAXakEKWM8P+ZMW/Ab72vxydvqGFcV6fhUmqzF3kXd9+qU/LhkG0/qlE9WNWu2isSrEmXsvdU1KWUdngG6HIBmnT+WwaXInqfBZ6KJ0bjSuirtkeTnf1dxdkWAX6ZbgcHJmbwMcqNt4GhSTW60dVSMTuVL7qaINMgsmFyWpQtFyYMpyZIM4KZ0jPPjmQI5e7/sPBVTCGA4SuiNDLGGMAHpewLX889MteJbLjzPZ7rVpxYkeI7O/eci2BvzrkvtYpWU+tM0JJRlhioBN/+87JCowhrM605KFYNqLFMpU9fEPre1JiGaz95V48v319Nak8wSlCmDZ+xd7BpcnjdYZpNVZbElLV6WauPMnYN/XIuMyZVVc0NI54LoMsgL5i7PAsk67/MtuvPhQRJtVPqefR7HDsJIXnndkNff2McTMcQx6OwegYkxxhAbGGoYaUGkIdKCxECcD+mHOCXDWFt3sdiKMN2twqTvl0CYGDseMEmyf2PsjstmfDtD0lmZ1XtSekwSa44MQji7ohmpWTpDeYvve2e0kcjJ2V089PAnj+w/2f6fkdNgurVI4CWVhEOlPFWWQF8udlqz06a8BXQJsKX/TlVq6NLvGQdz8bqQIiXXRGWuia03iYXm07fXeNeftzix4IKnLHOXAkuRgjvPWo5VNFbiiMrsE1EBcM7o2f+XpUoF82IV0NfCPSUwV3cxKPbTMTnIQWtZaoyQGF3UqNgUv+380YltcYtGiq0zmp//0Q5veEkfV6TgNiWgmxij9Zogj7UFeWwKoCeV52Wwi1Wg1eWfScqATYGuTd5sXfl3Zg3Apww+DOHUyojLLptkbrbzP7/41S8cee5zLrJ79Nz2gD3hycDjglmP9dOKOBap/jZ5coey9KA4+eX3qx54VWtXfe+yBi82Fi2kSSpTVOGayJIUycAtSwFlZgm6bsLhBcn7P9Fg70EfmioHtU3sWO2dSZO8z5Jxj561O+ZLwSaMZ//GmLvyunBR1kr2WNbWYwmfwkWRecavmr6XwoJcCpN74yJj9tQ/E0LbqVfGeuPRyHDxzogfflOX+x/3ODJfWqryoNPKkFgKhtnFlo5wM7pch1Lo8rxGpaJ6ivY1acwqByXT0uVVUZgxg0OISrBZPq52cwPBc3YaXnNNxA0XhfQGpU2obrr+OdSCgMceV+zbv0ySSALPMqzIvfBy2aKpAPyZAsvCVSmBXBavLaD0KmCLPLjUFG6KzgPMXJbk71n2dlTCUlfwB3/V4vaHg6JKMMtYpuBWknSH4vIY5OLiVSUwr2ULrgX8cQv8m71VpheM16WUQG4dCgsonc4GNKIE/lKmUwpjGwy0Pc5aqLThQNnLSGiSvuYlV434V2/v8F//fJLlQeGmWCNepCB3iFO0mcxVyR4FJX2eFmLpFOilsRJZ34BJiSADeiW+MVRdFVM8VjFX1eyOhHVTgh0bJ9i0/nLqk1cg/UF2jcKunRu47ppLbvVl57cmW02GodV02VVVHnJTlSx6lc6uyBlhQbpaolQtv0xfZyn4VUmcNTR34X/HlYTOUBr+9BMN3vfxJt3ItYVUGXOnromd3Vc4J5WiKgqWGM9eVph6TTBX51x/M0gf767PgZx9VnZbSnZhIVnKFuL4ZForVbL2tmyApzbFHpxNB37iLV1+8k1dajoGnaRSJQETleSK1eSjXK7Ye2ysdEmM1dxxWaakmr0qWaiYGBW9bVbr7+z9XI6k8+uz+YRgLyrfMWhT46n9y781vX7XrU6wuQD4xo2b+asP/E6fePnwZEviqIJplVgdOBZ12Wun1nOQKl1sILoqCC0BW5ZlSrXkVWaAVkn6eZbIqTK3lDG4mqcOunz41jqdKJ2MSQZsJw8wBak0ye+mor1VCdBPl73MZYdY/T6lf/PNIL1oVxuzDLNAs6y984ug1JRc1t+rOn/Kgaey+lwrtFEYrYgjRdMxfN8re1xy4QiZlPV4GexJAXIDoYYoBXdsMl2eBpzjwebTgLa4CErzGM2Yvh7T33nAWpk+YJuNwxiOnjh3+D//2jv76zesLwAO8MKbXs1LXv6d7NixEyXifIu9altYuSa77EtXgVsJSMuAHwsi1SowmzFgFxeBLMuTNVLxjpvw5CGXd/zmFI/v9zGuLGRJzuCyZAuafJDP+E4Na1mDa8mUSmJHUHol/n5yxVSfVn3xcbuw2IK7solrqW8zHxhkZO6Pm9JkLK1VOv5NkRgHHSquvCDi3T+/wmU7R3ZXsgzk+T1KwZ66K2nwGZaDT0MK7jLg12DysltiCkavMLUZ/3xsBUhsUBonhiiBwSjiwgsu5G1vfTNvfMPr8+PpZE+arSlcv0atFhB4CYFn0pR9pkvLor8aWK72vVcHl2W/O38uDKKsv0UhWcrPlUwQmdRRBbBlmtBxXE3XSP7kEw0e2e2TqBJri6LeBEq2YAXUVeekKBce6zgpaz+KnysHPuWEzzdCuBkDdhnhptynWXm/zOxjNePGzu3Wuhh5bbLMpkhDWCHTBJ20elwbEjSOMFx9yYh/8cYev/B7Lt1YgAt5EYmmaPHSikQIwqyNTQtbv5LGB0UnkP3iRexQdPhkCaIswMyaR0yKtar+rurxbMyb0Hb3N20Mwhg8P2BuboZer78a4K7r4Dr+gekp7+Bozt0pzMBWl5lqXVn1ZFrQF4VW6esM2JkxL8uALgeYpfekLpyUvN4kKQE+SetREqRIUCJGiQTHTehreP8nG3zsyw1GGZhlmb1tNY7MbEFZSJNV++yMRffPmODJAVy1B6vI/kbyZJy9x4BR0uEa8lHGVW+8ALwFt0SmgBdGINIaFWGkTYUbY59rg8BmOpPE4AnDW1/eZ/dRh/d/okkvwh4wna712WPawJZoSb55cp6qt8FnFtPYstl03FvuqJRAnh7XNI4siCS7nsqVq2PHOOuw0yPNRLOJdOoHfc8/MBxG+c/kEmVqZjPts1+5ZXrK/9DWzQ0mGj1qfoTnJrj5pKjV0qMcKFbT6uPj1ar13TmQxwNJmWUqk1UyJQN37qA4Md0Q3vepBv/tfS3OLbp5bXeRjs/uosTeZlW2ctXMlnL5L2NgL78eY+3KZ+KZwZ2hulxolb9XeSlSRq8GmBV/PEv8UJUsZWelqstVSbLIdAScYsOM5pd+tM2PvLFL04/TDZuSkh5PpYpJwNhJxKHOdLmw2jwNPuNckqQbauX62X6ncvC5lv5O0j2LMp2elLR+lAjCRNAPBefa4DbW4daaH/rwJ79+y47tm1czOIBULq7b+HxnNHpDrT68KolhMPRJhO0DXMVP2XJSAoigJGtyiVJl7YLRdanoqiRNxFiAmdmColT+qhJkYPjU5+u8870tziylyRw5rrurGUtXZF1DhXNS8bzhabxvUQFvudinALb4RoT9Ddm8PLewLFVgnLlLQzK1SadKCVt4JApgC1N44kKkrC1IHzO5oqzvrB2i0LBxKuGXfqzDYkfyoc81IUiXjlVMbm8aSaitUvGElSt2l3ArOVS6smeeuU7txHy/H0E+HSsfGDUmTbLqQkqJr0RDZwShktQn4kfqtfrntRlUjqkqv/jt3/srgrm5Y08dFtdvmOpf0/CE3UlgnK3yVqqSr10akClL8sOyZMkWHGN0NSZLpEzsiIiUwdcCt5QJTqA5cNLhN98/wcN7Aggyj3usFFam9SbSllxkHTvZ3u5rtaONNzrYPdnH9gyqvC42yxLZZ6K0FYyobumS1S9Xgtryf7t8UZVq8vMEU1bDI0vvMZaLoPDryZb7EglVYqd8ObdARBsmJjS1wHD3Yy5LyzKbp1zVCWW9hiitOuMXuigu4KIYt7iqs1Uq+0fluKP8M6vKGWAUw5b18NaX8rl+Z/cf/cQ//6kKwCsMDnDZzsttxJ1oesOl/JcWQVW52KqsubOD9TTsPa6984TOGqwtNGJNcKd3T3PwlMN/fvcktz0Y2AbKitddlifW887GQOTdSmOae3xcRuVnZOGLP10lYXbSRfk+/vNibZckA0F5L5xVI90yf9yQs7fdlNXaZSINMNcqyhLY5V1omSaJJEKDEBqhZRaykggF2p5XPTS87Lkjfv0dK/zKuyc5dNqzQSciTwChSxouBWmM3cIv0YVblWlvVUn8iJTVTR7j2T6LNJBPh3mWGXz82pICGp5mfXOSVv1i4vHBmmsB/Lk3vAwlVXjvPQvMxW0aNUERNK7BAmu+LoFb2oO3FsjFuGMitD3oUhdOiSikipQxytUcOefwX/54go/dWicU6W5UotxfWYBbYh2Tos57je23x5oaKv52CZw5gEs/U7YDn1GdlD9cqx7FFI7CqmLxrIQ2Z7ZqnTgZ6CuZzaIRQmoLYS0syEWeCc0AX0SxmWSJtSFwYt72igGJFvzKH01w9JwPbmK/U7ZBQlm6oDBYbZ0FkeS9nTYQlcL+VHaxSmGD0yyLKSFvfLCJRlOVhqY49hJo1Qw3XTfNK17xsjCO428McL8+Tb018XM7tlx4ae/syZckSduu+KL0y8r2X9b8kIGWbPnUJXtQ50xv3zel55apRV6LkkmTJH2vlIZ3Eo7Ou/zCH07w8S/VCWW69dqazF3OWJaG16cHZtzzLnzuUrBZQu64/10B9Tht/wNu90nhkgAALBtJREFU47gu14WvTtvbX5rt7ZMx+LhXnuvvig4vgzwdB5uu0zoFdzYlKo7BdRK+79UDHAW/+IeTHD3nkc5hrl6E2R7f6YcaYfca1ti+UQxODjj7/ZQoA78MevuflOnPyjGgF0G/ZnaqwdYtF351Znb7z8HSquMqx9/YvmGS8PTnOjs2yb0TTZI8OVOWFiUmtp3SulQ4pQsQ53KjlMDJCqdUWWOX5Ej6KEThgUsZI1XCqSXFL/3RBB+/dRzc6by5UhksqS52ZbVLZy32zsBcHlkH41KkCujxADM72xXQ/z3QPR5gjvvixZtWApSzmJnc0VSH6JsxJ6Uy5zBLCukiAWTyCsQiGRTHEieBt75iwP/3jjYbZ6I8s1nOclqnJcuCpg6LgTBN70emSARFuuyulKsOy04LeaayKEGwz7P/jnVw3KQ9au59/4dv7Qgx840BDhYAcdh9h3Ibj9VrCZ4XpoBc7WePl9SWLcNqheAYiMu6O5UlWSq+SMlnw3o0iSt476ebfOzmOqEqSxFn7HHM8x7LWI7r7qquLrHEuINSQvjT6etiE1Px98V3NZu5KqlT9b3Laf3cEmQ1g1dLbIvOH6PHM5vVjGdiMgvRpvR1InESw9te3efH3tDDyYq51wJ5ftfp3QI2TGtYRloQpe/FJq0tr2Q509R9JS1fnc+YaLufVC9WTE7UH1te6b5Dm7WP7ZoA33j+d9IfjZLa5Haz0B0QeGFJjhSMXYB2DNhjZa+qBOjM586kSB5QZt73mCxRSoMjuOXOGh+5pc5IZtNBy4AuMTnSVpilgWU1Y2mdAiWq2ltC4UiUQFtO+GSkXNbaZUBnP7CqTPabAXfpBysypcTq1aAzvRQr9SklcFfS+CWPfCz4LB4z1h5ncIlJmVwnEl8bvvdVfV5x4wCR6Kdn8jGQmxTMobaMHhsL8iqTi7EUfhXoGXtnx6IfG6bnYq56zvlGEyY//v2v+uYBDmCaL2fk3fSRO5/c0Tt5rkYcp1PqxhI9mcbOA8SKvi4DP5UulZ7KZCz1Xh7UE6McjXDhs18P+Nnfn+SJAz5GyrWBXQ4sRZatHA8sq4mc6jgIUwH0eEKn6B2s6pZK6n4M1N8Q3GNpzNXyRFRtNMMa93J3zxoZTsMqQJcTP+VdI8qMbows1asojFGYRHLFzoj/8W/bfMeL+mmxSVLUqlTqV5LiuU4g7diJUpCHpWRQXsNSSQ5lLF8Cf3oxuwq2zRh+5Dumej/9/dd95F/+4I1Pe4yfFuCXXrDNLJw48AfXX3n9wnK7YaPuUneOTFm3CtzVgJblC6AUROYZSlHUlRQ13jYtLxz41B01fuF/TvDUYd8WcD+jNLG+sStsMJPvzJDpb8ZB/QxyIwdwIU/W1ONrsfUYGz8zda/xvhl7WQE6FTAX75VS9rBKe+fboJT1eFl758VacnWpbaJIEsvoOhRcuiPit36mzXfelIJc6/9fe18eZkdV5v0759Ry99tr0p1Od2fpJJ00MUBCTAgBBBFQcXgcBGZGmUef4XNlXEbn0xk/BUcFPx3XQVweV8YZFRkRVAZxwcAYIKCAiQnZ96TTnd5ud9+lqs75/qg6VefUre4sJATwO/30c++tOlW37r2/89bv/b3veY9iyZWpb1y17DzMrXFk5FNE3NyfClefdhslXUVZh4wIFFNAY8O5Rzc8seOLmVz3lF+1gWna8nMXwKmOYu+WdbBZFabhA1bq4VGNlHr927foCHk2SVBQIpriBZKh5wOeccAA7n0kjX+6vYBNO6cCt+JYBnq0GVKT+uI96uSNxBrmCWDXMBuTEBOSB5UDpljZIQHQsSBxlEglXys0JCyWjySrHmnigqjlJoRCTShIMPNeVVkgqJ/YFOSp8ECeCdULwaIyyzUPZ8118Ml3jkEI4GePZHzxhOmfawoPL5QS5X4OAiNQWeTnlDIhV2gkkRadCxR4Fo0z5qOlsTDt1zstwO3MrCrlw2/rnN10F6nuylYdCzXHCEtJ+EGfmP4NRQOXoA417npwEwXcEugwCH7+uxQ+9KUC/rTLioFbBbaUBn35Q881kRMYopyTOK+OUxLNgYyBPQR5+KhPfJAjIN7nOPAdglh9HQJbRkECcAv5p2nhETePAkhEAb0/3UudDaTJhtJ6ByJceNXUnxFEqX8ej7Mo2lgDls518KmbxsAFcP/v0pGGB+WaEz+xb2k8OWNI+a6kj0REtF2WQhQCmHABtwr0ndU54Qr6tgVz26onDXDPPcKzDfM2jFSuGFv3+Mbsinku0qYBj0f8WzYJbrndfx45kDJi6YM8AjdVLDdhHIIR/PejKXzgCwVs3mUBdmw+JYlbcd88UwXcqhxYn+etW+/EQA8k2ElsABAN+PKXDAE/FW+JbYuxEGUHCc11PJVWdzoVcKuDgSunCOZxEsSBLvNXghqHQSQTNLLiPAg3RpY8kFMRrIAdXBWpcfTNcfDpvx+DEAQPrk/BA6Yhvuqn8Y2Ux6PlUEAAIxjEMuVFXppBfZqSTVdx/vIJvP/G1WPdXXM37B8c4dO927SXArMdzGwafGKLdc2R8Vc7G7c1oeqYga4dqSDSOkcWPQncatidQ41QssByC0bw6ydsvO+zBWzeYwUz4VV9Wy/5IP8JomBOxLuFBurENFgkW3Id5PXbokE9hS5+IhphEojV7crGugAnFM1bBtzDbEN1H3RFhas8vF5d0SZIcFl6ggXbWZSNyBl4DVjS7eBz7x3FxedVwLincPL4vwtdYfE/GOeRo+koqoorCGrClxZdAWQMjqVtAje9YY1zVrd7TXtLYXBBd8u03+u0AM+nbezbtx9rzp534IoLluxsaWoEoy6yqSpSdg0G84JAT0RNaCAj1oPbpyVMcSZDWsI4hEHw4OM2bvp0EVv3yBK3caWEop5/Q6cmiM/OUaOXShFQFdiJlKW+7FoioFXgx0dA1OWY4E4K34cRS8T5Ngn5eFxK5FJGjEmGkTZOwoERzQaKZv+IUCePnE4R1lyhEcgl6D0GUSNY2OXg394/iktXVsBkLQgRCwJpCosCdIgwgOMhCuY4Aih7QMkRGK0SlB0O2yqCppbtpHbvgQP794OQ1MkDHAAsk4JMPLhnRsP4jT09HSB0EJyOA6QMRt3gx1CgEM81UcAd5X8HARzigZkcwgB+tcHGe/61iK37LIg6zn184E6y3secdqbO1o5hNO6AxkFeD16h9fP3Tw1vUfckeCmdSWVXxNEluZVqSYymILLa2sCAqpOrIKeaNa9XUdQ5n0xZAEux7oJCVAkWdjr4/PtG8YqVFVCP+3JJCG5ptZO0cv9iZbCGBL8jAHDBkSUl5Okwql4J3T092DdQu/Gr//nwHqEnwyY241gd2to7UKmWYFu5Q4896Tx89/1PrD06WsXqxQ4uO4eAwPClG+bp2YNapFKlMx6IVEtsYO8gw/qnLdz81QK27rEgrCSNO/aaRqF4udSftNyq9U6iKbq1FgmAj0mFEsWaXFg/s14dHNI1qVNhpmkhNQmcykg1QZiBl1SUE0RxKAmCpCuViyNyMoFIUZHcN+Dj3F8fzS80K5WVYLoaETTg3tw3PBwgVICLKG+FEoA4HL3dDr74vlF89GsCjz1lY++gAVgKgmkclAQyW8svC+dbXYsKGILANjxcuWICqxaWACOLNWtmP3zusrWHJsoTyGVyxwT4sYcAgI9//FZ0nHXF0ITTWPrT9sy1D/xmFA2ZArrbLBjM/+HrZuXIwjyK7k0UDs5sYOtBA5/8WgFf+H4Oe/tNv3bglAEcGcFkIdgMBPndRC9aHxbyUcuxKcuBRFWsohSWaM2goA8l4fMoTzsoFkllsc1gyRH1NQnyvQkJ+smc8Gh/3B9ISt895iMAbYUJmnyuSO4UWt54XaBKcbZD4KkKknpXg0Dy7Q4gHtDS5OGi5TW0tXnYst3A0LBikutGu7wQP4VKLr6bZgJ5U6CjCFx2ro3LzmFYu2oV5s6b+37Utj5iZxYfD3SPbcFle+XKeSgWCxuarMo9PU3DVzN3P0ZLBtL2BBj14KcxijBJSkt1VSw3JRwsJbD9oIGP3VHA3b/MoOIx3xRPB+4wFO9bzygUr6smWrYgFEtdx73jxfvV3ysyzaF1TojBaxz9JBzLqVpcYdG17CinWvZV5cTQyQwm7kaWXW6HknkYKCYgIEIEjiUHRfR+nAejXAQp4P663YgmiQYXKbUMAlDHw8xGF2989SRsS+CW2wvYcRCArfSNk+PgA/Fgh0GBnM3RnAF27baxsa0Xxe5V9xToWRvKbum4v8vjBvi87pk4dODAnovWrHw3yptZaejIVbZZjpU25loOCSWRtk2I5/e1BHYcMHHzV/I+uMH8CQug0wM8LJqJ0HrLaKVcrJUptbw1Xq0+0hhw4/sJ0axrYoJV/TiI0ZrjRLvQu0Z6sFB4sw7mukeBcHUzv69QZMA4+AG5JAoRCl0JtHGEQaKoWi0oQASPlJqQrijXroI80Pd4RcA2OK65tAwI4OY7Cth5CMGkiQSQB689TuAQEtZYKVc5RssGBkr5+2bPffm7+/v797a1tR83wI/pZKqtvaMDg4c27F269OyN3Z2NyGUmkUrVYJs1mKYLw3DDpfvUGt3hHEqbY/cRAx+9I48fPRiA20iqXzI1uCXvDvO7Uc+39Vu0SKgMK8KBInOPk+RBFdxx2UQDedy4n6A1jxSTmKKiPKoVsNTJx0LZX1edNmm/JiXqKbVhSD9wNOOOqZ6nEquzIiI50eN+7ornUqSEwLWvLOPmd4yhe4bj584KHgvry9C+A8FdlD2BMY+g5BAMljzkijOxbNnZG3/50GN729raTui7PW4LLluxcSZS2e5PeZVN81Defp1Jj4IxATNYoo+FVMQLgj6+lFgTBL9/xsYdd2dx1y8zqMm1CWP043jArafB6g5kfEU0LagD1PHeEJAxa69TkHrKkqyiPIcmxRHNYhMIhbCEljgEOkILrOaoyA6Smvi0RB8Afg2VILQvB4NcvUGd9ga/sCeRUR5KfV+TYkpLTkAgOAejgOcClsFx3SvLAAe+/KMs/rDFRtWjyvQd7v9zD6AeOLMwLgyUawKL2pvQNWfOD9auPvtTW7btP+Gv9YQsOAAUGudg9NCPRzs7F7zlyV3sEcrKyKUnkElNImVVYNkVWFYVhhGssMAEyiD49s+yuPoDTfhBCO5jcO04LYE/GmXKg+TdWm0T6KoIRSxCGThImsOkgTamjiRQE9Xxmg7k8VyWaVtCaFObWQ/VgpPEsD40aTCmlyPBwqsBHlValNKhmng1XTBInTAhLXmQautxGlpy0xO47pVl3PuZYfzta8aRpZ6Pfu4CngviVEHdKqgzCdTGISoTaDDGcMmKiUfa23vf8qVv/2J08aLuEwb4CVtwAGjtfj227Xh0cunLbqgx998wUduNXQcI9vYboMxAV4eDJXNcpC2CcZfgO/dm8OGv5jFSMiM5ow7QkofHwB00RtRIpQhArpdynjKIo1rvJP4d59zQQRwfAP5moj9KhaQO6VNgWjp/0+A8zEMJTiSCksJ6vkmMr4fBnFieisrT445nIPtJa++XbFCLCslHfz1OhPSHANA5uSwCJQ0+gW/tPQ8wCEdr3sWt7yiBMeC7P8liwhFI2x4Wz3HR1eGAUII9h01s35NFW8ss3PCXb6gxWp48d9mVJwPVkwM4AMzt7AMEf3y0/9LVn/nWfel71hl4dqcJQV30dZfxt1dOYPWKGjZsMvHxr+UxUjKC6KQsiJngVEqKooBbiv6SmoQBHapa8chaq/nd9RZYpTK6hZbvleScJnLxOm6uYDpREZvenuu1UBJUElK/LxwogiAU36UCQqIop59hGF+DU+HpipNJEeStcBIkWVFw8OhNOQ3oic9TaOAdcsXBJEH5NglygaBWC/EgXI6mnId/eWsJFgOe2Ghi9XlV3HB5GX3dHJxQbN5h4KePMVTM1eXuzr7HGT1hovHcAW5YeQgx+s+k+BqxYefwe7ft25YieQpRK2PTVuC/ix4ODVN8//40hsYUZ1Kz2LHcEtBEcKuThlmghNBYEEcr3JNkvVXgqiAMHimpzw70+yaE7OsQHXsuYig/Rgu7x1SVaCc0bu4DWwI56qZtE9GxutVWAkNQFReh05dwMARRU04hKI/4O+iUICdAqIoIEFDOAeIFPB4gnofmAsc/vmUc/3l/GssW17B0oYvyaAblahqdzR7e/vpFFadw4ecFpR9ubjp2QGeqdlyBnqnaLbfcJhq7L3q4mEszAb66OjHJHA6ct2QUt75rGJescPDY0zZ291s+5w6LYgaP8SzBacCtheLp1BVh1SKaWlGdsMBmLKhDoARmggGhTD4mVN1OlGOjgE5U9EcGcaLnUaBHfR1XdeLKj7qd1A1YdVU3dWDGj/PvWKT+TpZ4pyJ1fcMxq/oTSjBIn7IXo2ckKDeHSP6MrkFAEIENz5r4yFcKeGKjjd4ujoZcFkdHGuDReTVh9H4KzuF/aZt1Tn0tiBNoJ23BZXOdam12e9NtqyulWndu+GOz20foVWuqWLlQgKVdnHt2Db/blEZZ5dd1OSWSf5PQcsarwGqAhmqtdUdSW34kAUR1PJxM8zilxY9+cc14K0CYir5M15KyCetoSRJFIQjNc8StebQimma9oXN25TGcLAEpmAhFbhQBaCkE50oet2/JKQE48ekL4K+zQwgJSkJEnrkAQClHzeV48mkLu/bZ2H3Exntub8CVy02cPa+VL+md97HGQutnS2PjteeKz+cM8A///TV44IEHy32ze++pjGdvsZ1fo2dWFtWqi2yqBD/6zgAhy6mZCudWZvoqoNHAjXjZB906E0SAp1LzVkA23TxLzVoplxABVTNddbknYZc4kIn+hGgHxJ3HhBYDcbgtkAQJoHFvf+aLT8OJ3AbVAY1PTk4AuKRBHP6CrySiKn4SFAXlPFj9m/oLzELKcD5PJwBEsHyKWjvHr0kYalzwhIAAh+MCAIOwMti8Jw3L8dC3cLlwaNc9f9xaLq9Ze/VzheeJy4RJbUFPJ+YvWLqtr2/BO+YufDmv1hgYAzbvMPHrR9OY9EyAmQC1gn+52lk0l1Lq3CbRc7v1qWdCs+Bytk7SLZ5qgBWJFlyCT8G3BrzE27WK42Pw7OMx4PFswbr5mFCDN9FGNYCDQBzXS0zIPkQ7h7aCWwz0ELK2iioh6tq5mnWolaIIZEOhZhoGS6Z4HoPrMbieAdcz4LkGLMJw6aoqeue7gENh2xQXr305b++Y947eRUu2NTR1nAponhqAz5vfi9bC4drcnhXfaMh7/5DNNaNcqeEHv0xh0540YJgAs/1/aoJQFiYsSWAzDdQIZcBw5WEI3VkkcZWkvvJRPOQ+peVVeSxiQFdopjoodBDrS3irD8fT4nMyox3Jm0JwK8erwZ/ovETbJmVAqJOTFR3cV1L0iRNqASEo/VSQQ+g6eaSlBxOWuQGPGwHATTiuCc+10NfNce0rSzBpGbNbmzHO7X+48IKV33hq65FaX9/xJVMdqz1niiJbvrEXbmW/19J9/Y7RgbbSF79byn/xrgpKlRSQskGYBcYYTAUo4e1P8m5EC0FRqXVDnVc51X/CJOK49YbChKbg4FD7KOqJOjCk1Y6rMLGnJ92iMLvQI5oSxSQg05JSCF2BUSOaBCLU2v314ZVELQlGEqknhAQZreE0MiVQJPeF1+nv4MG8Shpcgnz0KXvkaMrmUT+vhUAgnfbw9qtLSKdnoqH9/NJrL1m1Y/POAW/lOYtOFSxPHcABgBo5PLhh7L7Fcy56Z6op9fm+3p82bd9/FAMTBmyDIceCSv+QJbwIPOWLkfSDJUiAmiMZz+NGAhAB3frG+4XnIzq4lXMkWXHtdayb1gcJO2MtBOcUr+PbVL4sw/jRYEgI+oSOZeRsAhH4tcJBRImWIuLuXPjftwhIurxBcJAwj4cHiCYgYU1OOVgEp0EBn4CtE7kKBUf/QQdlrwM3vel1Q2bDy95jGXvuO0S6TiUkTzXAGwAAo2Ojd771uouNt71u4FMfveM3rV//CUHRFMiZfikJhxNUXGjhZR/Y/hefaKURWXMClbrX8+t4sCfEmeLPxsGX1E9zOOMgl/3U4xPAfFJWXdG+p3pUHUOoAwAREKMIZqSuqFZcCIRVXSMrTrQBAiECDTzQw5UPpk+MpvBLbAZfitTPBYHnMdQcfwUJSgRSFoOAi4c2zkaJvmGgb9Xl/7tcqd1pm32nEo4ATjHAZSsWihCi/1vIXUlzRefWlszvW4uWh6zlBw7GyhRlweDCn4MXcus4uBXenVTHRE2eSrbOU0t+ofaLGN6JwqhjHF3dHF9hTe9+4rDWUlolrcDUrwkQqi1yu7qNiAhoSVHRiJ5IB1Vu91EbWXQSpNjCzxOXn1XxAeQ445BBH0QXAwEICsexUJq0AAHYtoOMQ7F2xaoB0njZh7bvc77VO7d4OqD43AI907VbbvkMWPNFfyAiPZCl5QtrkyPp5jxFc4EilXbQP+5huML8mtWIhd1jz+silipVmYKXE8VB1TRxbRUFGaxRA0LR9vhKC+GMHgJlVo+kOdJRrQ/y6AGe+hk92p2HJgxM5U6RNNARXJcmc2o58UQ7Vm6ZLlUhPIpAu7vV0bhgCIQyK0FQwczXu23TRdXxsP1AFkeGc6g6BjxPwM7OGers6PxAwdj2rdldy08XDE8fwAHgN/f/B/7iqqueaW3K7stn2KtMMmH3dFl4xYoxCDqMZ3aa8GDAoCRaOycEuNDpiQrYGCj0iKWeE64DV31N9HMokrwesVSjhSQcJNHzpOlr0VImxwI4SDLY6+9CRDkmdj3hccp7SHAitl+CkqhSKqnrqwJeBzQJBw/UfTG6RgmHZXqwrDLufZTgx79tgFtLw3OBmW1dpXzD7HdOTNLvdfZeP5WGdEraaaEoasukKefp3A+aCrNdxlPfyZAdqZV9NQxPlnHXb6uY5Gmff1PJwSNqEkYsiT+fMFEmjAMBAGK8PPwh4q8RgSzaHy/gQ/QfOw4a5QfWYXD8rc65VLk26ikKiXFyTftWaA5RklxUPVtSKC5EQDtENClZOqEk6i8vKaQ8Musw2MYBsLCvCKVHRgU87uKJrXms32SiOjGJ1lXzK9Rq/7tMJnf3yFh12qI9p6KdEh18uvbWt1yPRZ3EKzb23N23qOmNy5Y2VIq5AdS4gKAWbEaQCtQVSVX027Cos9p1nFvZF5cBER8AZCpg11+7Dl4oVoogbsJi+D4mwqeUvlVNW+0roudiin5+B5LYr77UMvQgUMi39cCPqDuXonUHzyGUZQ3hKyaex3y9m5swmItDpTLMhq4KrJY3zmxpu/vxjVXvvDXXnG74nX6AA8All70e5/dt9p5Y96b/WtRn3XCg2jH58/VZUC+FmRmOHPMTqQgSHM0EC01IcvFMIIax+G03BHQI0zpM6ncCneeq5403FYTx/Yk+ZwyY9cEeonWRWrZ6rD6ZQQdwGNqHEvAB6iKbUSBIn0ihRjHVQE543nCqWwTu8P4pCGqOidHxNMBzuGJ5GX9xUX6SWw03vO9db/qvH/623/ubvzr94AaeB4oiW8fCN0M4ewQxX3HX7f9eNNL54TvmNg8WC7aHwUmK4YpcoEjlz0plUcScJ8QsrGLxVYscd4wSB4LsE0NiHZ2JnQuEJL7PybTg7l+vg0OhJOEGdX+0KJ8a4ZSSYF0AKKQjkooIqFPjhCKT+AEZ+MtzA/F3AgJ9m1ARSISB6kU5JioWhkbTGC+nsGDunNF3tc56+yWXPnTXde918cPPv/MUo2v67/V5bTd/6SuYaXWiIio3EK/82fGhLc1P796Pnz+VgUVM5E0Bi/lOZp3KAN16Jy1HoikrCc4lIZGDqTmkqkqSoLTUp8YqrwNnM3ROw/PrdVLUY/X3jeXRhLVYRILKozjb6jqlRN0njxPRvjDLMuoT7Rex/UI5Bw+NBlUSqOIlsykRMAwPtlWDYVRw3/oCyuWFWPvyhUdbmo33GTT/3aOjm7DsvPc/r3h73ix4CPCb3gYAGB0d+y4hhjHS//BtP33w+62/emISwizCpIDF/B8lLOUl/4mos8ZJIzRuTaPweyh+6RSE6P3UA0OKIqS11h1Jjb7ErCtwHFZdsbB1PD5+TtW5RFKYXk5r8x/9fZHeTdTIJ6Jj1SCQ9tYK7YhsvH+Qf2o5WZnGwF/Gs4c7sLR37UDfuas/WKs53y0WT4/Ofaz2vANctmKxACFGv5nPryZde8q3Flt+11oaHkfKoEiZfj6yw4Pl8GLUhKpAnEI9AZLUlfAQ3bGMOZlJdINM8Ri8rdKfRAPpOO6PoTKS2DeAZFwtQTzYowBaOZ+k11EKrT5WfMoiKZBCZ4JzQj1nbJT5h/hT3TyPBYtD+UuWGtZMXPfaywfaZ6/50JER8c3u9jMDbuAMAhwACCli9+HKNxYuusx995uLn/vJvb9tdCcGkTIEhiYoJqsEJlN4ONHTYKMTJQM2UUlJMPuRnKZae6Idn6SkqKoNgGNb62maLu2pkl58EMgcFBXA+jFSVlSBHeZnET1CGZcWhRIBRThgotsEEQCCfHFK/eI+IyULw2MWUraJbK4JudaLh1e2XvABQmvfIaRwAt/CqW9nFOAAMKcthXLVufOvrjh3aOjQwflN6bn/d8ezT5gwq/jtForhIQvFFI84NJINo7ROySF5BZSA/q8OGNWBlI1E1jjZ4pO6aziZprIczdIK5drkIAh3xgCc8OZK4mFolaVjqiZjRbq6qB/UQCQHBoOQCIGU7WJgtIZ1f7AgPAMXr13p2HnnHzONa3cAmZ8RYuNMtzMOcABI2ybf9Ket9735+iuswcO7Jlf2GV8eGf4l2THk0KGjzTBZEARSQCDVgjAnIoH71gF9CuKu0g4Vt3HaElrthGO145PuMsdoUyooyn5p4eMZgBHgoZDy+gEXWu5gUKj0Jj5bP8oYj04tQU4CmZCAYk+/g/VbDP6qC84TuaaF7+pavODbhw8O1No7Gk8ZPp5Le1508ONpfUsWIk2P1ro72+5csax7yZYjSz9i0rmYVaghZQgwBhjMD+eHFknoaycmAVoNdWv4VkGBeqd0SicUMUc1fJ/I/BPEXdn6VheIQVzXBrRZOsp/GMyJ6+DqOUX8vZQ7DVdn58QioYic+WjdJf89PU7gegyeR1GtMuzvt7Fk/jzc9NddHzEzc5Zkss13PvXMgVp7R8+ZhlPYXhAWXLa2joUAUL7xwz/c+vUHem/7yltHrOGRo//8s4d3MVQqSJsEZUeEecpchq2VhHsgckRVCS/JcQw7qy8V9CeBXnNQ646dCtBTbA+uXT4l2hPEdkAJ3UcO49QOasLbhV8QATgglPJrftluEe4OS17DXwECnj+IyhUG03BhmMBQuc+zvLZPXHr507ddOvGMR3LnnyIknLp2WpOtTrb9ft1d+PHtbxBv+ps3PPTN7/y77bhYybxRI2XVcGiYgxIC1wPKjj99Stb/NliQ0xI8Uq12NzTqUJ/cRBRtWknEUrVtGvVNPkbXwVU9XLX06nvXFSAi8TuD/53oPkVElajiHBPoSWN1dzPlO45b9TAlggoYlMM0OCzDg2XwcBUIAgd7+zOgZgt6+1ZUz15x1afnLlj9fy5a+0Exr/evzzRsEttz8PtPfzswWEKj4aDM6a379+1evenpe+j3flVZXR0ZNRoaOTYfAoaGbTRnBDKmgG0KWEYE9BCoyjlDZxQRwORAoLIeKFGK36vZfwrY1UL4YWaiLJpPIs1c2y8HAhJolHbH0QNBYQBG7Uf1gE/0OaJVqNV6MP7ACSQ+AUQD3e/PmIARgNq2XKQtF4VcGQOjDrbuKSKfstDUYrn3P9a6/oZrX8fnzJm7vlYzPlTIV0BY05mGypTtBQ1wtX3u6/eCUCPvVie+lub7ru2asYV+8/5hPLihHV3NAjlbIG0K2Ka/1DOjUa43EFgsHi1Np4KKxQAui/roUcd4lLI+okmSrDhUi+4fAyTkdZMkUKsRWD1Cq0clI8AzBeCMRuAPZ/KEi1EFACDyrudbbdv0kLZdZFI1zJ45gnsfq+DHD/XgqjUL+MWrZ/ywsSH1v6pVr9Sx4PnJJXmu7QXFwadr773xddi9e08JJH0TcfdvP3SAntXYPHI1wyEIYYAS4juiBmAw4v9oigvtccAjCFevI8IHRrhGI6RlJwm3eFJPG2L8XKU+WovdQtQgDJT3DVUhAk0aVDMGw21aUlQ8aUr5LEQP03MRLBvPfYdRXotHBQzhL8doMBm8ESiNCyzu6cPuoXn3LF66ZmNbV/sXxkqVUseC7jMNh+NuLxoLrrb/eXov8vlc98aNWz7/1NNbr374sT+hOjmC5jxDLs1gGEHiVmBhhRBwXaDqCNQ8f11GEuw3As5uMBJQm8h6R5QgPnsn2KZRGBJOhNAtONF5v3YunScnWfAoXyVWXDS2XVprgwkYFDAMAYNxn3pQfy6sJwhqDkW1RuG4vooi7wKMChiGQMquoZCZRGNDGsWWpSi2Lrqn2LrgPfAm9hDj1M12f77aixLgADB4ZBC2ZfY8/szOlx0dnXz3HzduuXDfrmdRq4yDBnVXGCWhFa/WBEYmOCYq/q2aUcA0AJMRmAZgGCSkNhG9iegIYvREA3KYqJU8eye0/tABDuggjwOb1QFd1A0MnZ4gWIxAwDR8ymGaHJbBwRiH4ATjZRPDJROVqn8BBvOPIRCoOR6amzJY3DsHbR0L1oHmv2DnFj0jhLM9n2880z/5SbUXDUWJt5YZLQCwXQixHcBGJmrtr1q75Kubtzzbs/6xp5nrObAMBttiMAx/vZkj4zUcGfcnWKQtHxRGoCP5qQAk5OKa+gLFMY1dR6hqBJ3qpo0dq8kAi8KLtWh5koesHMOBoCiPCOVRwaJrM5gIeLUD0/RQrqUwMGLD8/wBbZkcKYvDNE10zTvb6+xesD2fmXxrU/tFhwBsPZkJ1C+k9qIFuGzBD7B1bHR4q8e9y9Mpu+Ocs8/50a9+s64wNtKf9dwqMimG9hYXa1ccxYfvTGOwlMUMwmExARgCsvqr5O2qBQdkcCWK/kkwR9eg0A/qzz6XFlsc4/rViRJyhZAw+JPA88Pj5IAIB0MkFzIeZQsyymFZHor5MkbLJdzx01bMSNcwo8mAbRI0NWYxq3PmxNJla8YqVe+apubOA5SxPS92YMv2oge4bIViIzjne5Yvb943MlLqMw2sYhRf3717h3vwwM6mYqo/v6Sb41Urh/C9B1Jo8kiYjksJAZX0hCkUBVHJBK4kfMRjMZJ6qBKhBHeYpCfBSHSrrDqMFHpEUahvEMuUDKORchUFEQVpPI+Ae76HSglgMg7DqOD+x11s3Gvj/LlAsaG5tGTxwqGenvmGbdEb22fNedS0c6MA+EsF3MALKFR/Sj4MpSCEcLc2OdzV2fFAoVBY+JOf3Df/1a/5y08sWLR8Uzo766mO1oZKSzED1+PwuK8yGEzAZAQGIzANAssksEwKw/DBHqocwl8nUioWusNINJBHWjhChUS20Bgr5+RcwONK6gH0kLuUM8NUBUHgeYDjAjUHqDkENYfAcQkcj6Dm+sEwv/KMB4E8CGuuzOtsf+qCNSs3XX/9tZ+4/2f3zs9m8wsbm9oeODoyMUwIeUmBW37XL+l2+NA+UGqQg7sfwaNbq2xgvPhlg/OF27btuuDokcMsY1aRSQlwz4VlMmTSBkyDgQRJSK7HUalwVB0vKGMWKC4GAWM0kCR97s5osD0wGx4HHFfA86TS4Q8i5i/WDNfz9/PgViLvIIYSiTUC6dNkIszF8ThQdSgmK4Dj+YOAEsAyAdv0F9u1LQONBYFZM4EZrc1eY0vXI82N7tY/7aq+45EnC97rXn0BHMcVc7pPbam0F1p7yQM83g4PjCCdshsPHh785F0/ftA62r/X62jLnVut8eWDg0dhsSoa8hQCDJNVAssEhsccHB50/du96Vt426QwDR/goWLDKCwTsAwfoJUaQWnCg+N4oJTAthhsi8C2fPDWHKA04aFa46CUwDQoTJP6ag6TTqJ/vpQlYFscliFAmcDBQYrBYX8wTVYFatUaijmK2W1ZNDQ2oebSJwvpyd/3zG9jPUsuraUyLf/kedVhy37hRh1PR3vJcPDjbW2tDQAwDODtAPDo+kdAKblwaKT8qomJyWtMVl1EMY6HH9uMtGliUdcYth8Yxe/+mMLMBgO5DINBCYhFYBgUNLD0nItAeyZI2wKZlEDKqmLjdhdHxwwUsoE+TxlSlkAhy3FoyMPeIx5SBpCxaTiAZLTTCyqTmoYv5VmmQNp20Jgbx/9sEth/OIvzeguY3V4GS/ehqaEBM1uyz2YyqR9VHOsXIGLdslUXnumv/Iy2PzuAx9uq1RcAwLrh4ZF1AB6GcOcfOtLP/+P+rfzyVXPmrnm5+UFr01bsONqK2thhDBwdgptjsC0T2RSDwQQODzoghMBgBgxKkbYFmosO5s8ewDO7KQ4dbYJleEinGCgFUrZAR2sVh8fG8MweGwtmWL61NgnS8I8nRODwIA/kRo5ixkXadJHJNKJ9dhtmzKqgvbsXXQ0Tty3u2rSrff5KaqU7aMoydgB4oNjw4tStT3X7swe4bI2NDQDwgHzt1Q6B0FQDr+5cP2vIw1m9jU5na+97q464LGUJZFMEowNPgYh+bNzHkDcNtNgWUrYHRiswWQXp1AQGJm0MjDmY2UDgOgSuIwDhIZuahGWOYmisAaUsQcqkyKRNpNM22lo40ukJ/GEnxazmBpy/dgWaigTZlAfHNR7MpIY/N7+7YrZ3vAx9C7rWTZQrI53drWf6K3xBtv8P8Ckas9oBYATAvQCwd/8hEGBLpebNZBScwsOWp7eBuwI1ziCIAcflzjnnnHOzUxt/rW1WnFRhNvp6DeTSOcxroyjmDNgWQUNeoGnmJHp4CZdflEdnA0VjwTIbGgo/7d+/6eZsmpm5vEDZIzDtDHoWLEEuw2Aagrqe2Q+IXW+6tv1Mf0UvivZn52SezrZ9y3oAmDl89EiRoCraW0v4xVMUhw+mMbuVIpdhYJQgnwU6Z5axZ3ASDz2ZQVuBoJizSVt7+6gQov+yS9ac6Y/ykmn/DwK9Eklu8QY+AAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjA1OjM4KzAwOjAw+NVAdwAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzowNTozOCswMDowMImI+MsAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 9803292
{'hecke_orbit_code': 549789368695, 'n': 1, 'trace_an': 8}
-
id: 9803293
{'hecke_orbit_code': 549789368695, 'n': 2, 'trace_an': 0}
-
id: 9803294
{'hecke_orbit_code': 549789368695, 'n': 3, 'trace_an': 0}
-
id: 9803295
{'hecke_orbit_code': 549789368695, 'n': 4, 'trace_an': -2}
-
id: 9803296
{'hecke_orbit_code': 549789368695, 'n': 5, 'trace_an': 0}
-
id: 9803297
{'hecke_orbit_code': 549789368695, 'n': 6, 'trace_an': -2}
-
id: 9803298
{'hecke_orbit_code': 549789368695, 'n': 7, 'trace_an': 0}
-
id: 9803299
{'hecke_orbit_code': 549789368695, 'n': 8, 'trace_an': 0}
-
id: 9803300
{'hecke_orbit_code': 549789368695, 'n': 9, 'trace_an': 2}
-
id: 9803301
{'hecke_orbit_code': 549789368695, 'n': 10, 'trace_an': 0}
-
id: 9803302
{'hecke_orbit_code': 549789368695, 'n': 11, 'trace_an': -12}
-
id: 9803303
{'hecke_orbit_code': 549789368695, 'n': 12, 'trace_an': 0}
-
id: 9803304
{'hecke_orbit_code': 549789368695, 'n': 13, 'trace_an': 0}
-
id: 9803305
{'hecke_orbit_code': 549789368695, 'n': 14, 'trace_an': 20}
-
id: 9803306
{'hecke_orbit_code': 549789368695, 'n': 15, 'trace_an': 0}
-
id: 9803307
{'hecke_orbit_code': 549789368695, 'n': 16, 'trace_an': 2}
-
id: 9803308
{'hecke_orbit_code': 549789368695, 'n': 17, 'trace_an': 0}
-
id: 9803309
{'hecke_orbit_code': 549789368695, 'n': 18, 'trace_an': 0}
-
id: 9803310
{'hecke_orbit_code': 549789368695, 'n': 19, 'trace_an': 8}
-
id: 9803311
{'hecke_orbit_code': 549789368695, 'n': 20, 'trace_an': 0}
-
id: 9803312
{'hecke_orbit_code': 549789368695, 'n': 21, 'trace_an': 20}
-
id: 9803313
{'hecke_orbit_code': 549789368695, 'n': 22, 'trace_an': 0}
-
id: 9803314
{'hecke_orbit_code': 549789368695, 'n': 23, 'trace_an': 0}
-
id: 9803315
{'hecke_orbit_code': 549789368695, 'n': 24, 'trace_an': 24}
-
id: 9803316
{'hecke_orbit_code': 549789368695, 'n': 25, 'trace_an': 0}
-
id: 9803317
{'hecke_orbit_code': 549789368695, 'n': 26, 'trace_an': 36}
-
id: 9803318
{'hecke_orbit_code': 549789368695, 'n': 27, 'trace_an': 0}
-
id: 9803319
{'hecke_orbit_code': 549789368695, 'n': 28, 'trace_an': 0}
-
id: 9803320
{'hecke_orbit_code': 549789368695, 'n': 29, 'trace_an': 16}
-
id: 9803321
{'hecke_orbit_code': 549789368695, 'n': 30, 'trace_an': 0}
-
id: 9803322
{'hecke_orbit_code': 549789368695, 'n': 31, 'trace_an': 0}
-
id: 9803323
{'hecke_orbit_code': 549789368695, 'n': 32, 'trace_an': 0}
-
id: 9803324
{'hecke_orbit_code': 549789368695, 'n': 33, 'trace_an': 0}
-
id: 9803325
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id: 9803533
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id: 9803534
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id: 9803535
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id: 9803536
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id: 9803537
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id: 9803538
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id: 9803539
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id: 9803540
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id: 9803541
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id: 9803542
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id: 9803543
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id: 9803544
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id: 9803545
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id: 9803546
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id: 9803547
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id: 9803548
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id: 9803549
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