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mf_newforms • Show schema
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{'Nk2': 18900, 'analytic_conductor': 37.72931495505498, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -1], [7, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4725, 1, [4376, 1702, 2026], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 1600, 'field_disc_factorization': [[2, 6], [5, 2]], 'field_poly': [4, 0, -6, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [4, 0, -6, 0, 1]], [11, [4, 0, -36, 0, 1]], [13, [-19, -2, 1]], [37, [-45, 0, 1]]], 'hecke_orbit': 47, 'hecke_orbit_code': 207165582892601973, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4725.2.a.bu', 'level': 4725, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '4725.2.a.bu', 'nf_label': '4.4.1600.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{3})q^{4}-q^{7}+2\\beta _{2}q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4725.2.a', 'trace_display': [0, 0, 0, -4], 'trace_hash': 150019694372942626, 'trace_moments': [{'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [17, 19, 22, 18, 19, 17, 18, 22], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [62, 68, 68, 69, 74, 67, 63, 62], 'Nk2': 18900, 'analytic_conductor': 37.72931495505498, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4725, 1, [4376, 1702, 2026], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 685, 'dim': 152, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11, 13, 37], 'hecke_orbit_code': 33559157, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 8, 8], 'label': '4725.2.a', 'level': 4725, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'mf_dim': 756, 'mf_new_dim': 152, 'num_forms': 58, 'plus_dim': 70, 'prim_orbit_index': 1, 'relative_dim': 152, 'sturm_bound': 1440, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [152, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 116, 0, 0, -12, 0, 0, -28, 0, 0, 0, 0, 0, -16, 0, 0, -12, 0, 0, 36, 0, 0, 48, 0, 0, 0, 0, 0, -12, 0, 0, 20, 0, 0, 152, 0, 0, 40, 0, 0, 0, 0, 0, 16, 0, 0, 36, 0, 0, 100, 0, 0, -48, 0, 0, 0, 0, 0, 24, 0, 0, 32, 0, 0, -44, 0, 0, 44, 0, 0, 0, 0, 0, 12, 0, 0, 4, 0, 0, 124, 0, 0, -12, 0, 0, 0, 0, 0, -40, 0, 0, 104, 0, 0, -48, 0, 0, -48, 0, 0, 0, 0, 0, 68, 0, 0, 156, 0, 0, 32, 0, 0, -4, 0, 0, 0, 0, 0, -8, 0, 0, 136, 0, 0, 4, 0, 0, -52, 0, 0, 0, 0, 0, 84, 0, 0, 4, 0, 0, -24, 0, 0, 28, 0, 0, 0, 0, 0, -76, 0, 0, 100, 0, 0, 184, 0, 0, -80, 0, 0, 0, 0, 0, 312, 0, 0, -80, 0, 0, 252, 0, 0, 36, 0, 0, 0, 0, 0, 132, 0, 0, 148, 0, 0, 16, 0, 0, -24, 0, 0, 0, 0, 0, 288, 0, 0, -16, 0, 0, -48, 0, 0, 40, 0, 0, 0, 0, 0, -108, 0, 0, -216, 0, 0, -336, 0, 0, 48, 0, 0, 0, 0, 0, 52, 0, 0, -364, 0, 0, 352, 0, 0, -24, 0, 0, 0, 0, 0, -100, 0, 0, 196, 0, 0, -32, 0, 0, -88, 0, 0, 0, 0, 0, 144, 0, 0, 72, 0, 0, -40, 0, 0, -56, 0, 0, 0, 0, 0, -84, 0, 0, 24, 0, 0, -132, 0, 0, -48, 0, 0, 0, 0, 0, -152, 0, 0, -80, 0, 0, 152, 0, 0, -128, 0, 0, 0, 0, 0, 96, 0, 0, -112, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -56, 0, 0, 84, 0, 0, 324, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, -32, 0, 0, 252, 0, 0, 0, 0, 0, -232, 0, 0, 148, 0, 0, 24, 0, 0, 8, 0, 0, 0, 0, 0, -88, 0, 0, 240, 0, 0, 20, 0, 0, 116, 0, 0, 0, 0, 0, 88, 0, 0, 104, 0, 0, -440, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, -224, 0, 0, -56, 0, 0, 8, 0, 0, 0, 0, 0, -32, 0, 0, -300, 0, 0, -128, 0, 0, -60, 0, 0, 0, 0, 0, 60, 0, 0, -292, 0, 0, 200, 0, 0, -264, 0, 0, 0, 0, 0, -88, 0, 0, 4, 0, 0, -272, 0, 0, -36, 0, 0, 0, 0, 0, 260, 0, 0, -184, 0, 0, -24, 0, 0, 416, 0, 0, 0, 0, 0, 160, 0, 0, -220, 0, 0, 88, 0, 0, -224, 0, 0, 0, 0, 0, 148, 0, 0, 152, 0, 0, -44, 0, 0, -140, 0, 0, 0, 0, 0, 64, 0, 0, 32, 0, 0, -168, 0, 0, 20, 0, 0, 0, 0, 0, 44, 0, 0, -412, 0, 0, 132, 0, 0, 100, 0, 0, 0, 0, 0, -244, 0, 0, 184, 0, 0, 80, 0, 0, 148, 0, 0, 0, 0, 0, 24, 0, 0, -336, 0, 0, 244, 0, 0, -200, 0, 0, 0, 0, 0, -380, 0, 0, -84, 0, 0, 48, 0, 0, 136, 0, 0, 0, 0, 0, 80, 0, 0, -444, 0, 0, 148, 0, 0, 76, 0, 0, 0, 0, 0, -272, 0, 0, 180, 0, 0, -440, 0, 0, 116, 0, 0, 0, 0, 0, -76, 0, 0, -144, 0, 0, -140, 0, 0, -316, 0, 0, 0, 0, 0, -256, 0, 0, 236, 0, 0, -344, 0, 0, 12, 0, 0, 0, 0, 0, -176, 0, 0, 40, 0, 0, -188, 0, 0, -320, 0, 0, 0, 0, 0, 4, 0, 0, 380, 0, 0, 392, 0, 0, -56, 0, 0, 0, 0, 0, 128, 0, 0, 444, 0, 0, 76, 0, 0, -136, 0, 0, 0, 0, 0, -400, 0, 0, -180, 0, 0, 4, 0, 0, 244, 0, 0, 0, 0, 0, 20, 0, 0, 84, 0, 0, -344, 0, 0, 224, 0, 0, 0, 0, 0, 32, 0, 0, 84, 0, 0, -144, 0, 0, 236, 0, 0, 0, 0, 0, -32, 0, 0, 468, 0, 0, 88, 0, 0, -56, 0, 0, 0, 0, 0, 136, 0, 0, 296, 0, 0, -296, 0, 0, 300, 0, 0, 0, 0, 0, -56, 0, 0, -156, 0, 0, 120, 0, 0, -120, 0, 0, 0, 0, 0, 192, 0, 0, 420, 0, 0, 116, 0, 0, 80, 0, 0, 0, 0, 0, -144, 0, 0, 120, 0, 0, 172, 0, 0, 160, 0, 0, 0, 0, 0, 304, 0, 0, 324, 0, 0, -20, 0, 0, -116, 0, 0, 0, 0, 0, 140, 0, 0, 156, 0, 0, 84, 0, 0, 576, 0, 0, 0, 0, 0, -396, 0, 0, -264, 0, 0, -392, 0, 0, -32, 0, 0, 0, 0, 0, 56, 0, 0, -992, 0, 0, 232, 0, 0, -164, 0, 0, 0, 0, 0, 204, 0, 0, -88, 0, 0, -256, 0, 0, 52, 0, 0, 0, 0, 0, 52, 0, 0, -684, 0, 0, 32, 0, 0, -320, 0, 0, 0, 0, 0, 88, 0, 0, -832, 0, 0, -360, 0, 0, 244, 0, 0, 0, 0, 0, -436, 0, 0, -1488, 0, 0, 180, 0, 0, -292, 0, 0, 0, 0, 0, 456, 0, 0, -12, 0, 0, -32, 0, 0, 172, 0, 0, 0, 0, 0, 240, 0, 0, 384, 0, 0, -792, 0, 0, 112, 0, 0, 0, 0, 0, 396, 0, 0, 44, 0, 0, -888, 0, 0, 120, 0, 0, 0, 0, 0, -36, 0, 0, 336, 0, 0, 360, 0, 0, 196, 0, 0, 0, 0, 0, -280, 0, 0, 236, 0, 0, -136, 0, 0, 92, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1220861
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 47, 'source_is_minimal': True, 'source_label': '4725.2.a.bu', 'source_level': 4725, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 47, 'target_is_minimal': True, 'target_label': '4725.2.a.bu', 'target_level': 4725, 'twist_class_label': '4725.2.a.bu', 'twist_class_level': 4725, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1220862
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 47, 'source_is_minimal': True, 'source_label': '4725.2.a.bu', 'source_level': 4725, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 47, 'target_is_minimal': True, 'target_label': '4725.2.a.bu', 'target_level': 4725, 'twist_class_label': '4725.2.a.bu', 'twist_class_level': 4725, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1220863
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 47, 'source_is_minimal': True, 'source_label': '4725.2.a.bu', 'source_level': 4725, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 48, 'target_is_minimal': True, 'target_label': '4725.2.a.bv', 'target_level': 4725, 'twist_class_label': '4725.2.a.bu', 'twist_class_level': 4725, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1220864
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 47, 'source_is_minimal': True, 'source_label': '4725.2.a.bu', 'source_level': 4725, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 48, 'target_is_minimal': True, 'target_label': '4725.2.a.bv', 'target_level': 4725, 'twist_class_label': '4725.2.a.bu', 'twist_class_level': 4725, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3688300
{'charpoly_factorization': [[[4, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 207165582892601973, 'p': 2}
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id: 3688301
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 207165582892601973, 'p': 3}
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id: 3688302
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 207165582892601973, 'p': 5}
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id: 3688303
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 207165582892601973, 'p': 7}
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id: 3688304
{'charpoly_factorization': [[[4, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 207165582892601973, 'p': 11}
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id: 3688305
{'charpoly_factorization': [[[-19, -2, 1], 2]], 'hecke_orbit_code': 207165582892601973, 'p': 13}
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id: 3688306
{'charpoly_factorization': [[[100, 0, -30, 0, 1], 1]], 'hecke_orbit_code': 207165582892601973, 'p': 17}
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id: 3688307
{'charpoly_factorization': [[[4, 6, 1], 2]], 'hecke_orbit_code': 207165582892601973, 'p': 19}
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id: 3688308
{'charpoly_factorization': [[[484, 0, -84, 0, 1], 1]], 'hecke_orbit_code': 207165582892601973, 'p': 23}
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id: 3688309
{'charpoly_factorization': [[[4, 0, -14, 0, 1], 1]], 'hecke_orbit_code': 207165582892601973, 'p': 29}
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id: 3688310
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 207165582892601973, 'p': 31}
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id: 3688311
{'charpoly_factorization': [[[-45, 0, 1], 2]], 'hecke_orbit_code': 207165582892601973, 'p': 37}
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id: 3688312
{'charpoly_factorization': [[[100, 0, -30, 0, 1], 1]], 'hecke_orbit_code': 207165582892601973, 'p': 41}
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id: 3688313
{'charpoly_factorization': [[[59, -16, 1], 2]], 'hecke_orbit_code': 207165582892601973, 'p': 43}
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id: 3688314
{'charpoly_factorization': [[[484, 0, -116, 0, 1], 1]], 'hecke_orbit_code': 207165582892601973, 'p': 47}
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id: 3688315
{'charpoly_factorization': [[[24964, 0, -324, 0, 1], 1]], 'hecke_orbit_code': 207165582892601973, 'p': 53}
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id: 3688316
{'charpoly_factorization': [[[3844, 0, -164, 0, 1], 1]], 'hecke_orbit_code': 207165582892601973, 'p': 59}
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id: 3688317
{'charpoly_factorization': [[[-36, 6, 1], 2]], 'hecke_orbit_code': 207165582892601973, 'p': 61}
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id: 3688318
{'charpoly_factorization': [[[59, -16, 1], 2]], 'hecke_orbit_code': 207165582892601973, 'p': 67}
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id: 3688319
{'charpoly_factorization': [[[64, 0, -56, 0, 1], 1]], 'hecke_orbit_code': 207165582892601973, 'p': 71}
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id: 3688320
{'charpoly_factorization': [[[-121, -4, 1], 2]], 'hecke_orbit_code': 207165582892601973, 'p': 73}
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id: 3688321
{'charpoly_factorization': [[[-5, 0, 1], 2]], 'hecke_orbit_code': 207165582892601973, 'p': 79}
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id: 3688322
{'charpoly_factorization': [[[-10, 0, 1], 2]], 'hecke_orbit_code': 207165582892601973, 'p': 83}
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id: 3688323
{'charpoly_factorization': [[[-242, 0, 1], 2]], 'hecke_orbit_code': 207165582892601973, 'p': 89}
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id: 3688324
{'charpoly_factorization': [[[4, 6, 1], 2]], 'hecke_orbit_code': 207165582892601973, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 47, 'label': '4725.2.a.bu', 'level': 4725, 'portrait': 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Dj28LVAWMP6acO6qYSlbkB3KBjFHssDwaYpw2LHcOK8oub5bJqFbetDNs6N2DA3ZtPcmG0bLTs2Ka7Y7lFXTY6eaHP/0z6PHoh58nhEonp8+0s7vPVWS13NceD4NEfPaE5fSDiXgvvQguXGq+b5hXcus33dFGcuTHNhucZix2OpI1npJfT6Cf2x4OCxBfad6Fzx5P5ztx09eWbX8dPnvnDzq94a3nv7Xz7fkPhr3f5OM/jycodBaPEUv3bPo4du/bnf/JD87tuO3/qvvuu0nl/azOLKFIudBosdn8WOZrEDS52EpU7E4krCuRU4vChYv26FX/qBRV50WYOT52c5c6HJmQXN+UXLuYWYU/MJF3ox07MjXnJNnxfvAV/WCVTA+aUaZxc055YEgzHEsaHmG5q1hJmpGAMcPxfT7cPOjR7N+hhrBQif/tCwY9OYxRUN1kmRlT6MY7BYljohWzd49IYKoSzCjGnXPHZsHrEyEBw/o0mMZq4tadUEgQdxLBiMJeeWJGcXLeeXY4JgBF7MzVf2ufUqwfp2ncXlNifPB5xZgPMLMeeXYk4vweFFywuvXOCXf2CZTdNtTpyb5dxinflln4WOZGklYbkbsdxNWOpZFnqCE11YWVzht//vUfwD3+Z9TU7/tNH1q76mhPm5yHjU6u3nGyrPefs7y+B/8sGP8eKbrudn/s2//tUPf/yOf/V7H7zjkmeP93YdPjOQt1495OLNhsRorFVY69gbKwEJCISwaGHxJZxZrPPgIck1u5fYs31Eowaelviewvc1zbqk4UkGfY/9x2p86VGf4xfGdOOI/SfHbJxb4k0vWeaaS3q8cE+HYwsxCwNBIxhx5Iyl021y9cWSlVHC3mOKVkPzzHG4dItlFCaMEh+tI2ZasO9kgNIJnozRHgzHkhftGTAcSK65JKE7TDh+psVFmxTNRsjK2LJhesByv8tH7oDHjyY8eXTEzi2LXHt5l5nZkDfe3OO7XmbZvalFEk1z9PQUh095nDxnOHUh4tSFhMMXBCdWIl5w2Ty/9AM9Nk5Pc/LcLOcXG8yv+Cx2JMudhE4vYqWfsNy3LPXh/ECx3I256YoFfvI75mVNiV3nz568qDdIbvKbF9WbrZkvP3Dvp3jPez/0fENmzdvfSQb/oz/5GFs2b1ZHjx35DydOnf/5R548pk7Nh8yPNGcHhmt2nuc3f2Ke63Y3OL84w2KnwVKnxlLHY6mrWe7BcidhuRuz1ItZ6MDJZYGuj7jlqiW++2UhF21ostJvc2GpzvySz0JHsNRxEmG5Z+gODd2xZTCKmWtH7NhoAEHgWU5d8BAyYOcGxUVbLFs2DDi/POaJgy1uuNTSqC/z9KFZWs2QMPSYmzEMR3DFjhEfvGOay7fHjMeWdVOSKBnSqgU8c2xE3Wty3WUxTx4JOb/os3Uu4KLNsGNTiFIRpxbA9yxCWHZujJlpSXrDgP7AozvwWOoqllZgsWNY6iQsdBLOdWBxlLBja5/vfvkCt+zR1Lw2ZxfaLCzXWFjRLHUFyx3DSi9iuZew0rcs9uFcT3F+JeZFl5/jXf9kgUu3NllcabPUqbPSn0bWLkkarU2/unHz9l9eXjyf3PSStzzf0Fl1+zsF8AP7D1Cr1+pnTp/a8cDDT7/jyLEzv3Lk2CnCRNIdwvJAcGGgONOLeOHF5/mvP7HEtRfXubA8w+JKg+VujaWux3JXs9yFTs+w0otZ7sUsdS3nO4IzfQuiz1tf2uGNLzJcvLlGGDZY7tRY6ft0eorlvqA3EIzGljC2JAkoaQk8qAeW6bZlw2yE9kYcPhvy1KEAEzd5/U0h2lvhkb1T7NoMn3sw5qVXB1zoDKlpRZxEzM5AHHloL2ZxscFLru/yuftaXLQZHj44xqPB615kiMWQpw4nHD1VQ0ufjTOamaagHgh8X6AExAbCyDIKoTewrPQNvYFhZWBY7FuGScLObQPe+OIOb701BNNicWWKC0t1p7e7muUOrPQSOv2YlRTcSwM421XMdxNeeNl53vUTF7hyZ52F5WmWew06vYCVnk9vYGlNbaXW3Pzv5zbu+fNt27aeGI9Gw0suu/z5hlJ++zsD8JMnDrJh/Xr/wMFDP3Rg/6F33//QY2JhqS/DyDIYGfojS3cIK0PJhaHkbC/iRZdc4Dd+dJHrL6mxsDLN4kqT5a47+Ms9zUpP0OlZOv2ElV5Mp29Y7lsu9ARnO4aZ6QGveWGPm/fE7NyoaNc9ur0agScBRRhLjBEYC4MRIAwzrREHT1uMDbn94SbjQZ1Ltvrccs2AyKxw16PTXHepx8FzfTrLbV58zYAvPxKwcday97jlp9/SZe+xgI2zki89qrjlCsXSoMuRk7Ncd1nIXU8NiccNbr7SZ/f2EcO4zxcfUZAIDp/StBsaLWAwlBgrSIwligFp0L6h07c0WxHbN4+59YoBr7khZq5Z4/zSFIsrdZa77tgsdwWdPnR6MZ1+TKef0BlYlgaScz3BQi/mpsvn+dUfnefai2rMr0yx0mvQ7Qd0+z69oaY/kgyGgsjUzM6Lr7Y7d+3+qV0XX/L+pcWF8Mo9lz3fkAL+jgA8iUMZRcM3PfXIZy9Z7pp3PfDAI15vKBiOLcNRzHBs6A8N/bGlNxR0hoILQ8mZTszNV1zg1350nht2+6x0p5hfbtHp11jp+az0NZ2eojOAXt/SHcR0+wn9oaEzsMz3BfN9iJIx1146ZNNsQn9gecOLx+zaZIgTiZaWMII7n6hx4kKNzTMxTx+ugWmwZ5vi+ssNQW3AIwcHzC80uWpXk/b0Mvc96XHjpTUWByssL7fZtMny4F7F972yz0N7Nds2eCz0OywvzXL9FQPuezphtj7NVZf0udDp8OCz09R1kxdebrlsxwhknyeOCjbMRpyfj7jrCY9RpJASEmPZtTnkNS8O6fUVW2YM118KYdhgqdNgqROw0vfoDhSdvqTbh+4godtP6A0SugPDysCyNJSc7go6wzG3XDbPL//IMi+81F0cnV6d7iCgN/DoDjT9kaI/lAxGgm7fafdrr3thFCfq337fd/+DQ61m49Oe75nnG1vPeyZzNBwyGo9/4OjBx37zzKlDsxfml2nWJQiJEDb9UzEAQjgLUAiLlBYpNQ8d2MjPvVfzlluW+J5XLnHR1pBzi20Cv0498GkEHs26pleXtIYeU03NYJTQHyZsHBuGY0tvFLA0X+PUSUsYG06fiwkCCwh8ZdFSMBgqBB7xQPOCXYLdWyw7tg4YJz0+/5Bi36EZXntDwPVXLPOBz1t80WDX1gFP3qfYOq1Y1x5QU3XCyONCD5o1zbaNgsf3hVx/WZ2XXbfAH31miO+1ePVNFi8Y8JUHQz73QJNnj9a5eEuDXZsT1s+EXLQu4updCUoZtLKApREErJ8OCCOP3sDn6YMe/ZFmMFT0R5L+EPojS3/gvntvmNAfWrpDy8oQ5geK88uWxlSHf/r6eb7jljHXXtzk7EKbTr9GLwV3b6jop//mYCQYjCzj0BIlcPc9D3lTM3O/+bX7H1667dYX/ctBf/BHjWbjecXX8wrwaNwHYX/kxOH7f23/U3fMDvpdtNLUAoWxYKwAFEKAEEn66DpplLQomeBLyZMH1/PYgSYHz1zgLbf2ufXKEdOtNkudBs1ujfbQpz/Q7uSMJMORZjDWjMaWUWgII0sUWeLE3cPYxxqQSuBpQc0XTLcEMy3YtM6wbeOAdTMdvvAI3P2YhzRTvPYGjxfs6XHvsxHhqM0tLxB0hkMuLDa5+TLDuukBdR0wihXz3QhlBC+4TNNojXl0f43brp/ixdf2eHS/AjvFDVf6/ONvX+LLj4d86aEme0/U2LFesWm2zkyrwVQL6gF42qIkGAt7jwqSRBDFgjCGcYT7juOE4dgwGhsGI8NgbOgPoTuG+b7kQg/GZsSrrlviTbd2+IevNsRxm3MLTbr9Gr2hT3/o0R8qekOVAlswHFmGY8NwnBBFlii2nDp1lo987POz/WHyn7/t9bfpbn/w3vbzCPLnDeDhaBEhkn984dRdv3bh+Fc21NQA2fQZhxZrDa6GSiIQCKEQQiAlKbhBKYtWFk8Z6p5gYVDnw3ds4yuPdXnp1Su881UrXH1Rn7npBosrDXrDgMHQS4Gt3D0UjCNJFAvi2C31Nl00lLRoDTUfGnXDbCti64YBMX0Ono74yF01jpxsMh3UufFKzc3XdHnwQIfb729z06U1dmwe8ME7BEoEtFsRK/0xxoISsL49oNvzMXGdN730Ah/+XIPd52u88aYBYbTIXU/NESU1XnTlBt54Y5dLt3f4yqMDnjzZ4ImjPttmJbNtQSMQ+J67CGV68RsLxjiwxYkljCzjyF3IoxCGIfRGguWxYKkHQo+47vIV3vmaFV56ZcJcu85yt0GnV6c3COiPPPrDYiUYjCXDEQyyC2eUMBobRqEljCG2iuNnOrz/w7dv6Aztr33nt73Enju/9IebNs7+7wHwt/yL9/Px31qme/bPftDG43cN5vevC9SAdqvGcBwjhbPmHVuDECK9S5TUSJmglEiXZ4OnLIG21LVgeaRY7Mzw0TubPPB0n1uuXeGdr17hut0d5pI6cRwwGNXoDz2GY00YKaJYEieSxAiMFS4LKiyBb2jUYgI/xPfGnF4c85mHJYdO+Rw9NYMyAbs3+1xxkeKGPV1UMM9Th1tsnW5w1cWwaf0yS902V2+VxMbyhYcCxgPJdDPmdS8a8em7Ik6ca3H5JR5nV0Y8c8Rj+8YZrr1onnuf7HHfM4Jx6LPnoln2bA/Ys63H4bNLHDoND+1rcPBIk4YWBFrSDCw1D6R0QZW17mKNEwhjCBNBfyzojgTdCEITY+yIF17a5Z2v6fLSqxM2zwaMRlMsdmr0+gH9kc9g6LT2YKQYjgXDkWQ4dn2jo3HCKExXhtAyDt3jKIRhpDh7qsu7P/jVDffvPfuudbNefNMP/NUHHvidpxAzP/v3F+C9s79Da3ODtyv+4cuveOS3v/clT083vBZxo4lUEilACouQFimVey0FUkqUEmil0keDVgmeFvja4HuWwLM0/ITpmqA39ljuzvCxu9vc8cSIjTMD3vHyDnu2jxgN+1x1kWX7JsU48kiSIs0vsEhp8HTC8fOWo+cEK0PDp+5tcHphBht6zNQUW+Y0OzdpLt4KV+3uYuQC7/l0k6WlKW7ao7lqd4evPCEQsceGGUmzETOIfKSVYCVK+3RGgvNLgittg5ff0ONrj9bZss7npqtm+eFvX+D9n+vx0P4m/ZHH4kqLi7bUuXzzgBdd1uM7b+txZmmJT90bsDgIOH7W4/RpH0+5YyUQGGtJDETGksSGmbmIa64cMB5H7Nk+5m0vH7NhSjHbCoiiGmfnawyGPoOxW+WGObClA/dYMBrjVoJxwig0jMeJA3XkdPgwhGEkGIwFvURz9ESHQ6e+vO7/+SfN377vv++MmP7tD/34L36Q3//F7/v7B/D77/ttvu9dN4vu6Tve/ld3nfyDfYeebmg1QmuPKNYgHPsIYZDSQwnrJImUSAlKSrQSaJU+aoGnE3wt8D1DzbPUI0sjtEzVEmbqgkEo6YVNjp5q8hsfmgUTI+KYG64ZcNGmkDgGYw3WuiSOFAKpBNrz2X/CZ++hGs2apuVL1jUE6+ckG2Y1W9Yrdm5OuHznColY5Hc+3ub4iWluusxjz66EYdzj/qcCpusec1OW6VZIo+6kkDGSzkix1LcsdhI6/TovuWqFh/cO2HdCMd2u8aIrp/nRNy3yu5+ARw816Q8tKz3N+aU2m9Y12DAzYufciH/99gHtRocnj8L+kxLPsyhlEcIA1v1nIY5h16aEW66OSSKPKA6wtsEo9Di34DMcuxVtFKpcvg1DwWgsGIWOtcehy8qOx8axdWTS9xzARyGMIsEgFHRDwVIoGcQhnh5y8uTx6V9+b/0Pji79Svz+X21/9LpL/8D+9Pf/6N8fgP+TX/kz/t2fX6xu2/nwWz/0mVMfOH36ydrR85oDZwTXXzKkmcgigJQ+SlmU9NJHhVIq1dsSTzvN6XuKsScZh4YgTBhHlnpkGEeGMLS0YxhHhnEMYSwYRZJxEhAlNfYdavLEPkisxUHbaWNPgq9czUcrgKs2Q7sOU03JTEsxN63ZMAs7No3ZvH6FyC7xOx+f4vCRKa6/WHHxNsnubct89ZmY84tT3HCRZKZtqPlDAhlglSBOJMJa4iRkuV/j/KLH9XvqvOCyHvc+WmPjjKBRa3H9ZYZ/+tZFfvsThmdOt1jpG1Z6ivllzbrpJjPtOjPtKdqNiPXNiJ3XhwRejKdjlEqQqQNlcRdVFCkuzGuiWBHFijBSjKP0MZSMI8k4lIxCyTgULkANBeNUfowjwzhMCMNU00eZLHHAHkUwiBy4l0NJP4whHLBn14jLd8XsO/lo48aLkw88/eh281Pv3PrxH3zV7ybtbT/9rQ/wX/jPH2a2FSgv2f+2L96/8kf3PbBcM2wDGzHf6fDLP9bhim19lDQIaZDSopRJ7x5KWjxl8bTC0xYvlPiecCfBE4x9RRg5oEeRJYwT54rEpXsCcWJJEkNicHrbkINbCFAStATPg0ALaoGgEUiaDcVUQzIzJdgwG7Nz04BWc4WPfy3krqdmWVloc80Oxc7NHpduH5GIFb7wUIOmp1k/o2g1Rjx1GJ49orl6u2UwVlx7acQ1uy3nzibML/sMRw1ef2OPe54ccvC0olmXBH6bqy82/PIPLnLnM0M+fec6FruWnRsSljua6bZiqunRang065ZaYAh8Q6ATtHJSS6atldbiElZGEBtJnAjiWBDFkjAWRJFkHDnnJYwEYWQJQxhHCWFkCEvEMY7KdwfuYQbuSLISwXAcIqMB1+1a5ud/aIk3vzQkNoZw/FBtZOyfnD9U+0dGbPiLswffl2y+9Ie/tQFe94xc7nS+58TxM//zwIGTtfrMDKM4IYlD/uprAeFY87ZX9Hj7q/rMtGN6MkHLINXZTg97WuNFmkArRp5jmrEnCX1BGAl3ciJFFEMYSecgxIXtFyeGJHHuQmJTpyR1SzJ3Rkkne3wtCHxJLZA064J2wzLdMmycHbN+pkdsV/joPZL3f26ODbUa1+wQ7NjssWuLYefmZT5+v2VpqcaeTYqZNrQaEeePSS4sB/gXwTgSrJ+STE/DwaOW5a7h3EKNS3fVeOUNPT5zd425FgS+j5LTXL1b8GNvvIAnL/BX987w7OkaG7sRG6ZjppqKVl3RqEvqgSbwIfBAa+cwuZimBHLchZ0YSBJBnJACHaLEuSBRlDhSiAxh9hiZ1HbMXJnUgowFw0jQjwTdWNALLeE4ZCro8o7XL/KOl/d5zQ2Wbq9FGAaMo4Dh6FQNv/0H0q9rpP9nOJ751gT4H/7xJ0gS84P3PHDkvx47crK9oanoR5aOUgxUnVB5fOEhzf3P1Dm7vMhPf+eQ2XbMKKjTHdTQysfTHp728MOE0NP4oZMmYeRS6Y5xhGOilJXiGKIEksQ5Cca4gMsYm/VwpuB2AHeBq8DTDiC1ABo1Q6seM92KWT89ZN3MCl/bF/Int9fZf3SaXVMeuzfBtk0+2zbC5Tu6DOIuD+5tU1ce62cU0y2Ybo2ZmYrxfY0Q7uIajn2WuhErA0unH3Nh2WfHphYv3nOB2x8asP90m0YQ4SkfIabYvVXx/a9e4IWXX+BPbm/x4NPTLPY1G9ox042YRk1SrykCTxB4Es9zsYpSpPahQ7nF9bAaQw70ODHp6pZai7EhThy44wjC2Bb3yLkyo9iRyiADdgyjUYyJRsw1uvzkdy3xr7+3T6Pm0+nWGUc+YeQzDl3b4GD5VFvXg99pz13j733iU++/4gVv/tYDeLfTQSr5I+/744//2tmzp+baNYGOHatoCYEU9KTHUEpWxh7/9c899h5e5k239Xn5dT02rgvpdesMxwG+FxP4HuNQE/jO3ssAHkWSMHbLbhSnnnZCav2RMrfEWApwuyRlytyglUuY+J6l5hvqtZhWLWamPWbzui7nOwPe/SmPLzw8y9Jyk0vWC3ZsEGzd4LNtg+CiLSO0v8KH79IcOdnkso2SmZZkqpkg5ZjT85ZAO5fIWkEYaXZu6PIQCd2BYrlrOb9U57JtNb7z5R3+4is+x84HeDpCCA9jm0Sx5IaLltn5vV2+8OiAD35hlkeONdk6I1jXTGjWEmq+IPAEvudiFa1wgbMUeU2GxV1kLpHmgG0MOcjjxEk6B3YIE1frEmbJo1gwjKEXS3oxDENDMhizbV2Xl12/wptvG/CGGw1aNFherhFm4I4049BjHHoMx4rByvk5o4fvuvbG71D9Xve9zdb/mpry/yUAX1ruIJT3w1+98+5fe/bZZzf4GkwACOsCOunS374U9KSkL2t0Qs2Hv1rjzid7XL+ny/e+esAbb+owNx0wHAUMxz6B5xHGHmGk80ApjhVRIoljSZQI4liSJILEiEJrG0GuSqxjbilcskilySLfMwR+Qj2IadXHrJvuM4yGfOUpy0e+OsWDT08z43tcvdWyeVaycc5ny3rJto0hF29d5sljQz51z3qmlGb9lKDdFLQbEZ1Bwufur9HyLUI4YA3HmjfdMuazD7iamE7fcGFZs21Di7fc2ufBfT32HvRpBjFKCgdy02AUOq3//a/scNnmC3z4zi73PTvNieU6m9qCqZql4Rtq2uB7oJVASdIEmfveWfmRSaWaMcUKF6dAdwQBUSKIkhTYiWAUCwaxoJ/gYp4wpFkf8JbXLvE9r+5yw2UJG2c1w2GTbj8DtkcYasJIpyDXjEPFKJQcOXxggxc88GvXXn+zGQ4676s3vvlj5b6pAF9cXGGp08cafuDTn7/rv3z+C1+e63Y7aCXxDVjPpokU51ro1LmoSehJj4GnONUNOPNAgwee6vMX1/R42yuHvO6WEbPTPuE4YBx7hJGzFqMU6HGiiJM0YZMUADc2ZW5T1JQJYdOg0tVxaG3wvYTAj6gHIa36kIQhX35U8qE7pnn66BQiCtg1Y9k8bVk3rVg/67NpnWTL+ogdm7qcnO/xe59uEo/rbNsmmG5p2k1oNyKEF9IdNpluWYQQWAtRLJkNFLGJ6UU+vUHCcldxer7OlRe3+PF/sMK7/izg+HwTraL0wtDEcY1RKNk0F3DDJV2uubjPM8dP85Gv1rn9kWnOdOo0A0XLh6Zn8bXFU6ClS+cLUa2uM4A17qJLjCCxECfC+eeJIExckmiYCIYJDGNLHMeYaMxcbcjrX7XCO17V46VXR0zVPcKoyXInYBz6RLEmjLx0tS2tupEijBXGSMbjJY4e+MqGman4v2y76Oa41zn9x9prUqtP/90E+GAwZN1M881fueuh3/34p77UHg66BL7CYvG0s6xcMoWUWSw6sXhS4CtDPREMlM8g1lwY1/irB5rc9fSAF32pzz/7rh5X7OiyYVrRbmi39MUecVyAPMkAbiTGSqx1ksDmAWWa6lfWBbE6JvBjPBXSHUbMdyP++8drHL0ww6N7p7HGZ64u2LDOsm5KMNdWzE17bJyTbJqL2bp+wNz0Ml94zPDIs9Ncs00w05K0GpJ2w9CshwhvTBBotHK/31pIEslwrBmOImIj6A0Nvb5lqetxbrHNzZf3efGVK3z4SzXqSwotIwdIq4kTnzByPZ7rpmu8cHefF17S56GXneH4vORPbp/mwkqDU4sBvpI0PYGfyTDpyCUn8kyq4Jg8toLYQGQE4wRGMYTGQhJDHCHVmC0zQ67Z6c7HjVcktOuaOG7S6QWMI584BbZbYbVzalJQOznpHo1xcU846rDvqa/MWfTvbt5x4/J4PPjUNxOT3zSAHzhwkG3bNqkP/PGHL3niqX3teNyhUdMpsERqx9lUE7p0uJKOKTxl8WNLLRE0lGCoBAMdMEw8FsM6tz8yxdeeHdIMxvyjN3TYNheza8uQm6/qoYVrERPCyRWXlXS10taWmBuXIVXCeeaWGGTMM0clD+/TfObBFs+caBHGDVpasb5umW1aZhrW+eBtzeyUZm5asGk2Zsv6IZvXL3PX02Pe85kNbJ7WrG9Du6loNwWtRkw9GPO1A4pRqPGaDlTWCsJYUtOK6y4b8sBT067waZiw0vVYWAk4vzDDj7/xPKcWFnng8fV4EhARBnIAjUNJf6iZadWYbjd58WUDXnbNgO99xTz7Tho++2CNB/fVOXCkSSw047FiECmUkHn5A2SBZ5oTsIbYWKwxeCJhyg+pEfHi6/tctHnEtnUR73zdmLovadY9wrBBp+enK6lOCUflXru7y/zuHC5XFhEnItX+mrPnB3QevK+94cTCJa967dvU8WOHk527vjmd+98UgO/bt5f16+f8hx9++IcE8X8d9JeZbvtp4U+q8aQlTlyvpJKuI0Urx+A6Bk8KPGMJYktNCRqJYGxglHgME49BUqPXS/gvH57BxhEb14+4cseIuamYt71yyI4NIVEkUr0tocTcpPpTSoOQgo/dWefJw02E1hw/0+D0+Qa1umIqEEw3Le2aoV2DVl0w1VC0W4qZlmZuGtZNx2ycG7F1Q5fErvCxe9oM+00u3WZpNxSthqRVN7RqMZ4X8oUHaowHEm+D6xbNJEqzrnj9i4bc/ZihP5b0hwndgWalpzm32OCKi1q87aVdHn2mwfGlFkoaIEr1skeUKMaRS8z0R5pO36dVb9Csj7li24ibLh9x8kKHY2dX0F7CE0c0f/HVBkK5wjUm5w9aAxiwlihM2Lkx5h2vHLKunXD5TsvGOUhij3HYIo49lrsecaSIEp3GQYoocitpFKs0JpJprU/mbok0XqISIyWJz0p/mcZU/F+fePzRweatO9+/b9/ecM+eK/5uAPz06VMsLs5fdurUqXc//vgjsua7aUxJYkmMxSSC2Ni0xBUS6QLNyDhnxVPOh/USiJUgSCw14y6I0FjCRDA2knEiCY1HZGC+3+arTxosCZ980I1swJr0nmXxUotMZBWJEqkUcaSRRuNpSSuAi9Zbmp6hERgaATQCQbMuadWdHJpqSWbaMDcVs35mzJb1PRKW+e9/WePepzawew5mGil7NyStekyjHtJsDKnXGwRKomSqwXEXfRR5jIaC4TihN1b0R4be0LiWuabPqfNTvOTKMf/07ef5zb/QnFgJEMJgbYRJLFHsEUaS0diVsbaGmmbNp1Gv0Qga1IKIVj3khktDfC/ixktj3vmqAVrFaRLIuHr7sihPJZ0xEiEkgacAn9FYs7isXd1OksU86T2WRQwUp/fEgTsHdiLy5FL+PElBnj5GkeWhhx6WYSTf3e0N7hmPR09/M7D5/xngX/riJ2k1VP34sUNvPXjwkKgFmsQIVGJc5jBx7C0NJFKgpCVWFpWASiBRLmLXiet9jLOIPkmj+iyyN6J4bQShkcRWkhhNZAKS1PYq3/IspQAthMtUKqjVLTVtqamEwINAQ8231ANB3Zc06pJGTTuANwXTLcNsO2ZuesyG2T5bNizyns8YPnj7RrZPK9a1DO2motVQNBvQqCe06hFnFw2HzwbUfHdBQ1bpJxiFmos2GTatG9Ed+QxHNmVxyUpP06rXaDWmeeerLnDk7Dn+4FNb0VJjMSQmITaWKHaOxDB0RVGDmqQx0tQDj3qQ0Om5GMP3Epcw8xK0dI0SUrp0vkjvrnRFACIFuaBj0ipL4+KaJJEYI4lNEe84sGYBfva89BiL9H3nyCSJC2Rjkz13Vm6UuPKARx97Qlx8cf+tO3buPPwXH/vL4du+6zufX4C36trvrcz/bK9z/meFHclGTRLGoPIv7PxVlRgSaUkUqESQpPIkNqDTL5lkyQdj09c2f694XlTKZU0RWaBU1txAXp3ovHeDlqQ1LeApgaet8421oBZIar6kHijqNUWrLmk1LFPNhOlWzGx7zLqZATs2LvLggTEfvnMLM7WAjS1DuyEcuOuSZs3QrMW0GmMe3A9P7GtwyXqb6t4ibT4cK2683HLpjiEPPT3NYGwZjhL6Q52C3KNRq1OvTfPdty3xxIELPLB3E1iFMYkrh40tcWTzepLhWNMYWeo1Rc03BL5H4CcE2qB1gqdddlgp1zCSxULOvi30XBGcuxJikzlSJrNfS1Zsdp5TXV28Jgd2dncElrJ2UiKxNOscxdAfDOTxk2f+g/ZqfrPZ+lUgfN4AbuKeDMejX7zry3/2Lwe9M3695hFGDliRFMRpQJlISyIdqBNjUSnoE2XRJn1uRCpnyJ8nWcbNZpk3i0kzcVmywlpLKfNeWXGzVHXm2iiZZiwVpaItl/0LfEUtUNQDQaMuaNUt7UbCVDNmujVmbmrIlvXLPLB/yC/+0UZOnJrm4nWG6Qa064pmXdGsQbOWUK9F+N6IzsgVi3nKImXxyVyQJYlin3Y9YhAbBmmd9WCU0BtIOnVFoxdQC1rs2hTxyz/U4T9+QHL/3o1YFMa6FTJOYsLYEEaKUagYBpL6WFHzJYFvCXxFoA2e5/x+rbJaHwdwlcoUkeYo8lua2rcpidi0liVJAZ+Y4tGRkczlRg7w9HnO2knq1iRZFjVdtRNDHFuixBDGhkNHTvlWNP7tT/7E672V7uDfT7cbf+t0/t8a4OGoSxQlv3ry8Ff/xbh/pNasS4Zjm4JMINIEg0oEiRTEyhaaXNoc7EliMdlzIzDG5mlkk3u0YI11XeRpCWj5zgTAi2aJ9DMIB26lnF2m01Y0T0sC3w0AqgVuJEM9sDRrhlYjod2ImGqFzLaHbFm/wgP7BvzH969j/4lZds46h6VVlzQb0rF33dKoJTRqEVES8qdfaiGVwpMWJQqb0NhsCff4/tcu88VHQnphwCAFeH+o6PUVnUBT8wMCr83l22N+5R8v8gvvF9z39EaMlSTGpdWj2BWajUPDuObKXYNAUPMEge8ym762ecZWK4NULh6SaVlyDvAi5elIzKZOixGp25IG8qYUKFoweXKNlN3JV9wkBzRF1tS4UookLRXIWTxycvSJZ47WPvZXX/2/vvc7Xy2Wljs/97fdW+hvDfCzpw9iMS8+deyRehhGKOmhlcuOCUBIl0XLNHYG9CRPD2fgzuSHe8/ktRJF+5UDunB1FBmoswM/8bkygGc1GFkmL2NvrbO6E4nnSVe/4QtqgZt50ggSmnUH7nYzZLo9ZP10hwf3DfjF983yzPF1bJsRzDVL0qSmadZc/Uq9FlMPQjxvzOnFGTwlXKWkSPUt6WqUSOJYsXnGEscR3aiWdsoYhqOE3khSHyhqvofv1fD0FHu2xfzKD8/z7/4QHnh2A4mRDuCJJYqTlMkN48BQCyUjX+USzPPA06lzpaTLBaS5CClwTSaiOIZl0rA2zQSblNUzeZgmh7JscZKU3jeF5MzlZ2LzlTjJqzttlckTi7WCKAq5855H6i98we4XKym+ERy/uQC/687b6fRE4+67bvfreoyvPSwCpWzBpMK5JUlSAN1pLwd0YyyJJgd7FdiZDLE50G0mR7Lnz/HZpCiKqFzDhMjBraRMGyUyeQI1DwLfUK9Z6oHTz416RLsRMt0csm6mwyMHR/zCe2d46vh6tkwr1jcNU3VBqyZp1BSNuqBecxeHS/WHPLBX0B/51FSW1HIaPGtCSIwgijXNmuLmq3o8+EybQeRkynCcMBgqeoEi8BW+56f6eZortht+/Ucv8DO/D/ft3UBkJJExabN00YM59iWBbxx7e0UdvVbZnVSmFDJOplnetUCeJYVsBvAU8EnuvLDmymvSWMoYmxNZTnAlsJvEpgaD+431QOLT5c4vf85/zWtf3/jCF784eP3rXve/HuAnT55k/Yat03ff8anf81R0WxQ5dhS4+pIsFnfzOoTT39myJUkZu7jKjRJrs3YJ0CYHdtEUjLVV3Z0lk2QK7rTISOUAB5VWDHoafA/XCeSnBVZBQj2VF636mKnWkJlWl8cPjfmF987wxLENbJrWrG8YpurQrAmadUWjrmjk7J1QC2JajRF3PeGz0qkxM1OkyTPAmFSbRoliw5ziVS/oc9fDxnXRhKYEcknNk9Q8jad9tK4jpeGK7ZZf+9EL/MzvW+7bv4HI6FS/2rTs1TF5EMm8utDXEq3TIiwpUDo7NuSfL7sIM6kisqo0ioTQ5N2UHo2hkvtwrwtwG7MGsMvvpdIF62SkNQnzi/3bjhw5+odvf9tbf+LkiRMr23f8zXaF+xsDfNg7w5nR/M90l49+jwkXqNcUWto0S2cL3ZstTSnQnc7OrvLiis/kR5LLEHL2rgSSk8ydIj3LyOXaW2YVdIXuzioGtcLVZ2iL57nG4ppvqPkJ9VpMoxbRrI1pNUbMTnV49MCYn/39dTx+ZCMbpj02NBKmGjYFd8reNUk9cOxfC2IaQUhsxvTCAKEkXsbguQYXKbulBWKRR9MfuXKBsMZMBvJRwsB3DB740tXE62wDWsvVuyzv+onz/Jv/abhv30YioxkngjAxKYsLapEh8Cy+53pXdRp3aOVKhJWU6fFJu/Kzx1JhVn5hlmOdCXDnJFQipjK487gqe51QOGE5+IsLxOHISboTp+dp7T3yPfc98PjhKIr+3f9SBu8un6Q1vW3no/e85xrPnmRmyrp5JRnmcCBVefZSlAJHkYM7KdUkZ6PRbBZM2iIQK5iiyEra8pqZlwCUgspsuU07dFQaTGmddgalRUhZ9WDNS1LdHFGvjZlpD5hq9nhgb8zPvWcdjx3ZyPopzfp6wlTN0krBXa85OzEDdz1IqPkx7WbI3mOWOx9t4kuJp0waxBU6Mlu+o0QRG83Lb4i45OI+h0/UWd8g7U53neuDUcrCWqG1lybLnHd91U749R9b4N/9vuGeZ9YziuouGRZbGmkNd+DhQK6z1cvkva1SJfkKp6QoAVyUQM4qvVKA3FYBnlcoFivvWitzwe6UwG0rF4zFkaU1kif2nsKoB6/5jz/zYzsPHj51/NLd2775AO93T+MH07vOn7z3t0y8+GYtezTrOvdL8yAk900zGZLZSy6j6b60WLWkZf6wzT3tCZdklVuSMvckuIVFqswWdGDQKmVtbfG1wfMMgWcI/JiaH1MLQhq1MbNTA5Z7A+5+Gn79Q5t48tA61qXgnq5bWnVBsyZyr9w5L8axt+8AXg/GhEnCaFijptxFJkVp6SfTrCINNLXT8nrsOtMjUQK4wfcTfE/jedJNFZBeDnAEXHuR4Nd/Ypn/8mcx9+2b40ynzagpmU4srdhSSycOBJ5Nvf/MSbE5e2dSJQN4/nnTD13Gea4Q05OSraoFuKuS0lVzlsBeAXpm/RZVjdnzzEAwBsa9AafPLr/501+8L3nZLS/4vw4fPXNs90VbvrkAH3aOEnqNm7qLz7x11N1Lo1YjMUmJgTNgp/LDypy5cytJiVySOFCLdGnLEjZVKVIGeHaIy6own5tCOVjKqhVtaTiQK4v1tEnHTCQ5uAM/Bfdsn/nlIb/2pw0+df96FvozrJ+SrK+l4K453d1IA8t6IGkENmVwp71rQQiE3PG4z3LkMxdQqcdGVFeoJHHND+1A88rrBzywP6QXBUzlHesGf+xq1X3tAK7ThmwhXYIGC3u2S37zn3X57ANDfvV9Gzm1MMNwWjPtC1qxoRFDELnRy75yA428LNCUIg+Cs8dyoF6+MIXIe0Xy8wMTErIM7FL8ZErgL+cxKgxvyzKlAHxsFPc/epCNmza+tdVq/mmvPzz2TWXwJOohdfPSpTN3/PNR51FqARibpDZPBmpZgNcKTJJdpbIC6Fxr5382kyC2sKEmWbssS9IDnTFLlm7OXACVAVxZtHTAdr2drr/T9xJ8L6bmRwR+RKs+ROsBdz2R8Iefa/OZezcQmjYb2oJ1NSdLnAWY+eQqvYuUucvsHaH1mK89O80g1GxuZJ9nksGz1U0SxYqap3jxFUNi4wA+jITrWs8618fGBYc6nQ2T2nsiDegtgnXTgu95RZ9WcIb3fW7I3c/OcS6qM6hJ2rGlqa0DuU7jEGXTuCQtfpPZMRRF7bh0s8WKkR5VXORSJRtRARPa3FaAmrF0xuhZTsOU2Ltg+TRWydwYNLff8wzXXXv5P3/HP7j1sU5vcHCq9Y1Hwn1DgMej/Sye+gzan94y6ux9mbIXqNdqaTZKpga/xBhTkiciZeuyJCnYuyJHMq1NmkyoALtkPZTtK2EnpEmWlXMVg260m0lrvlNwK1eLEXgRvh9R80IajRG+P+BDt2t+4483cHh+Fi+osaklmA0S2oGlGUAz7bCvBy7bWUsTQq5+JUlXAidPFroJ/dDHVwpf2jzApPRVsgs7q90IY4+6N2LT9JCVQYthJNJxay5W8LwktflUancqB/BK4OoqH9/80j43XjnPr//JiA9+YT1LcZNB4NH0JG3tanACDb4ib4bQWdInXflkLlWKBFCZVKpipQx0KitwRVNXtHkV0NYW2eq89MJk4E5bEK1i4VyXO+7f97LRON5yYbF78JFnjvHCq3b9f2XwhPXbb9s17Dzxnv75h6kFhsRGaTGVJFFZEU5Rr5ADvfzcZtkwUQogiwDTIkqSRExIkwzctmATmdWXlwAuLSodPVEwd5KCPMbXTpIE/pjAG3LsfMwffLbJJ+6Z48j5GdoNj9kazAQJrcCmqfcM3DIFt8yTQrVUewe+u3DazTEf/5rm4PE6tXQCV94uRoHyfIyDdTo8ijV7dsK339jjDz8/R7+haaezR4IwjRuUQWuZjq2jBHKvRKmObHask/zc9w245qJT/P5nZjlyboqluM7A0zSVoJEC3ZfWXTipy5SvftlxzexDnD4vMp12tU+eEVNWOpH75qstxbLezgFdAXkK7BTkUSIIDQyt5q/u2ceNN1z+nu/89he/4cJi7xtKla8L8HE4RHk1Ritf3ZYMHt5d02fQop727WVdNIpEZRIlZfNUstgyuPPinYy9s3t2EETOAgUrZLRtKzowA7Z7zEYpO3A71yRj7wRPx65zR8cEwRhfj+klIe/+qM/7PruJ04vTGFVndkox61umfEMjZe5Gnr6XaZ1KKk1S7zwHt++yl+Mo5OCpgH4YMBOkLk6WdMpciSwLa0s1KZGm3dRctC1EBSN6YYuhL6inI9F8nY3PcBJFZ66HUM8RvCrWTw348TcPeOvLz/G+z3b5g4/NsTBsMtQ1alrR0IK6cvX3ftrto6RIs5ukq6Fdm8lZQ65MOixQjaUyUJeIbJLJk7QUI0mfu+4i1w86NIKxsSyfXub2rz27u932t73jdS86FicjtKr97QB+5Pg8QTC1/vyFxkcPPnWv9x0vGaNjCCMfKTVSahKVYNL5fiYtrcx1eJmxTcbcJWCngC8YW2DX/CS2ZAfaHNgVeSKzYUGJA7hO0CrB9yJqfojvhXRGIV97UvKh29t87J45RkkL3/eZ8wXTvqHpWxqBpeEX4K4FkiCQBKk0cYmh1JlIAe57LvN59Kzl7kcahJFH0LSrAszsVnWYXEuX52ledWOPD3+5z/5TTYY1N5ph7Fn8GLzI4IUGpaTzraVAClkM96E4nomRxEbSCDQbp4f8m+8ecMWOMR+8vcXDe6eYHzYZKR/P09S0oC4hyAYsZfaqTLuvBCWQV2tWJouzyoyeEdSkI5a9LvR2obXdoyC2ruowMjA2gpGBKEkgDqnJAbb/ee+WK679KCy/IBp15//WDL7nEl8+e2DvTb/1/q9N3fPILEr1+e5XDOj2LTI2KGmIE4WRxrWKGUFiZc7mhRypypLCWhSlupIqg1cKf1yPjmPyPKVs8nJPp7stWiUO4CrJ5YjWEZ1+xL1PC/7o821uf3SKpU4LWa/RqiumPUvbNzQ8S8O31H1S1nbMXQ8kNV9R8wU1n7RCz6TgNgSe099KjzlwCk53ai6xkurbauKkZH9RgDw2kjDUbGwLLt0+5KkTMYPIY5zO+PZDHPhUNlk3S9SAnOjMyQO01IaMElcf/o5XDXndi5b5ymM9PvCFNg/vbbPYa9CRPn1f4ys35SCQuB5O6XapU6K4SJWwpfbDKlZW1a9MMnmJ0AwTEoUimIytA3ZoBJF1w0OtiSEJYTjgza9a5Bd/YIRZ/sLUffP+TR1z5ef5OsODvi7AF5YuBMaa/3nw1Mnm8bN13vPJFi+7dp71UyMEllgYpFQYo1JQSxIrsUZOALvE3ibToSWAlw5IhRcq0sRWCvSdLDGp5jYombiB+JmbISPmezF3PaL53L0tPnX3FBe6TUSthtfyaGuY8lwnT90jlR1Q90V6l2nJaaq7fUGQsXcGcB3j+zE1P8TaiDseDTh+ts66WYEnTTEddw22y8tPU0kxHHvs3Ch41fUDPnF/SD/yGEaCmuf6Vf10slSxSqncr0bIikxxd1k0Khjnt9eDMe94xZDX3LjIJ+/p8dl7G9z1ZIsLnQZD4TP0NdpTaCFcC6GUeMKmUsuiECVpWLUP1yDzigtWMLfIA9DEFrIkTl9HNtPebk68S3uGEI7ZvH7Aj31Hj4s3ezxx9HBTzUX/c51/4gpg+LcC+Je+cpRzSwOePjSAOOLZA5qvPqH5h68NMYlASkNiFEkKcJt2s5tS06/NdiC2zhuvnARwvZNr1ARWAsoSsIUwqR3oZhlmcsTXEbVaxGicsP80HDuj+MiXpvj8w20uLDfBq6HbHg0laXmWljbUPUvdg5rnwF3z3ExCV2YqS3eR/tymIDc5yH3PtacdPmN46mgAnpcu87aUohcVFJSDMFcvLYgTN8756ovGXLmtz77TDYY1QSMWBJFlrEitPZOyd+amZBZkoVVynz2LiYxKpw94jEKPen3MD75+zJtuXuGLj/T58y83OHamxr7TDcKVgDjQjLRGKunS+YBOHzMmz6ULRfC/6pa7KQWoHVuL0vPibjJQWwM2ARuDicG6WXGvfMGIqy6N8APLlukFLoz3Y8Zfv4z2OQF+7ORJEUejf/7ovX+y7se/bZG7Hh1y4rQlFAJaCUEyJgoTpFEoo1PtXe5ol6XAsjTCAZGCmtLjBLyzSD3XfC6p4SSJSXd5SAgCN0k1ThLOLcKXvqo5fKrOnQ/WOb1c5/CZJgQBqqGpaUVTW5raOBfBc4Pza54b1+ZAnN1lelcpwEk1dwpuLyHwHHu7Cyvk6DzsPdbAk1V7MJcoFPXguaOQOSkm7WuMPa7cOeTSDQOePhIziD1akWCswY/dTEBVAriUAiFlhcmhGrjlMiiRuTEQJR5jz6ddD/n+14556TVdTi93ueMhnyMnA774aIMzizWSoYeRmshXCJntm+S68iVpxpNiasJaIK8EmpSz1Jnbkr6b9dJaAyQpsBPH4FEC/QQfg+dbHjxguf3+gMXO0XX/8iff8c+XF4+9a2Zu15rh23MC/L4HPosU8fdcs+vZ5iuuu8CJbxvxibtq7Dvscce9NbZMJ1yyK8KzMSaMMFalB1OtBnna50dplEPRXjYZWNpSxF6wdi5FVIIXJESJ5chJwVNHFF96sMHTR32ePVqnOw4YhwF4PqrtEShBQ0FDG+olHzjQWZ1GVjbr6sKDVJb4vsL3ZXoB2EJ7e4nLLHpO59f8CGtCzi9JxjZAa4kvLbpks00QeA7yxFb7HcPYQ6BZPxsi1Yh+5DHQwjkdUVEwppWpZCClKEWx2bAjRC4Vs9aybDCSl6h8/MRg7LNpJmTHxogbLh4zDIf8o6Mdnj7m86UHajx1tMaREzWiWEGgsFKBkCSylA3KkxRraJWKOM984OzRlB7Tu0nSA5RAZNAk7N4VsuWahD27I/7fDzf55J1NDp9rsn7uQvMVt335e2qBfNffiMFH83/OcNhVx47uFbNTPWbaEdZLODev+OgX63z4E012bI+5+vKI175ozCuvC8HGeB7Um2GqsyUYQRw5Vs8CyQqDly95S7qrmptf4mkLwiCkJQotg5Fj9GOnJH92e8AgUjz+bI1DJwMW+j7jxAftg/JQbYUvBXUFDWWpKdw4M5UWHinH2r4nXNKjDG5P4qeyJPAh8EldE5cy97TB9+I0IxpRr4VcWE740n0tOr2AmSmBTr34rOhLPBezmVJAaCTjsWLdnOJ1N4/44sNDTnSaDD3pZIoGL7Z4UeZZpx67TJxdSHnWicx/h7G69Dsc0P1EkWhF7LmxD1HkOSvVi2j6ES+9OubFV4x5y8tGHDgpeWKvxzBUfPBLDY6e80BIBkNNEqqsfBOrM4BPWEbl9G0F4IA1iMQiTCFN6s0EzzMIa3jl9WNee+OIqy6P2LUjZqoGH/lCndPnNN2+JZEJf/CXF8R1V16l/st7Phf/6x97418P4HEC2m+9e/v6c9cGXo9z3Zhfes8Uf/rZFoNIMd8XHF2y3PcUfPTLMetnEqw1XH9ZxDtePUq7NWD9lOG6q0OatXTlsSLPga0+5yIfztMZCJ54UrPYldRrkgf3enz6nhqjSDGKFGfP+RihiayHER5ojQg0Wkp8JahJSy0FdqAsgXKTtXyder66YG4/68vMwa3SHk2Rs7fvGXw/K9BKcvb2/QilQr76mOIT97dQvnZ2W0V/PzeDZ154kmSOh2I08njTLUM+9bUuH7xjin5co5nqcC/T4VGWlLF5t5AQMgeY+1WypPVLADeOyWPtmNzTilhrdJw4oKsEpdwg/ZlazC2Xx9x8eYQVY972igGjyI1z+6t7Ah7a61MPBAtdxRNP+3QHMlVJgucU5fnOE6418LrrItZNJ3nTwztePeS6SyOshfUzhtlpU6yGFv7Rm/ooCb/8+5LFrmDfgca1r7ql+W6wP/7XYvDF5S7N6Vb7A3/xwcu/eneshoOApX6bOx6uM7IaglTnAWML5zse51fc2TpwwvLpr7or0SaWqRnDTdeGtOquDnjN9GT5Uk9dh5W+4uGnfLodhdTSzUSx2jGT0Li5wBqkRkqJJ4UDs7QE0uBLBwRfga+KGX0O5KJoeNCuESBrPC6D2zF8WlbrZQyelO4xgY6wNuT0gk84rhFMSfw07a3SqrxKFlNQkFfJOs27040ijDxmWort60J8MWIYBwxjQV27IZhZDUmW0FKyXN4q89/lfkeWbDNF9tSYtGeykEZxnKR5A5XOZY+J4gQVuVyCVglSxmxbZ9IVw3DFjhGhHSK1odMRPPyUZmUgUbliqQbVlTOdFmM1a4YXXxsxNWOwsVvZ68rNrLSksVusifMV3+KrhB94/ZAd686z0FnA81fUniuuvPyGG3+o/dPv7Ha9oDqldhXAD51cwD+3/K4/+syFV3z5rhaKGlZYjJJuUmZlvS0tOVhia+lkmkpZuiuWs19tlr7iWgAv67f05Ajhfp92W2qjJQhVBDlSplZWBuo07SxJN27NfOPSo0476RXp1nvk4HZtXQo/BbevyUtMHYOnLK4Nfpod9byIIIg4uWD4ky82QftuxqIsJXgq4Js4bBQM7hqIZT5YJ4w83vm6IZ+8a8iz51v0E49G7DaldVWAtujEUVlOoBzsZaWLmRSSpQKv7G7yWhitFV7i5qV4KdCVLJJmrm48fS5MOjgoQQuLsAnrGoZve4kBkRSb94ps/4w1znleYyTAKEyk8zgtjiQRomRIZPGaW+Hj2CKk4TU3uu8dR8tEat8rosGRd1kb/+Q3ZPDf+sDtSCn9A0fOQa1OIkn1RcGyBVbL5X6TGsuCsiReCdxr4jtjtwzg1eBFSJm3oCkBnnBp5UC4akFPutc6vf50ynB5IZGmNAeFdGe2oqu+ALjMZUvg27ylzfdNaXBOjJeyt68jpAw5fk4w360htCaQVOSJLH+t0ukuS4cK8FKnI4w95tpjdm4asu/cmGGiGSUQJAIvsXhxqsNjcmepSKGrSqdCdpqcdZt10YiSNDLoxJAoidLZ9uUqLVZLkMqkK4UprNkU5CL73bgpWULa3PXKgJ45YOXvnwG8SO4VjzmwKYBdLPwityRGIsslgFAnMRf+wi9w+nUAfuzwKTdiLApp+ZIEQWIVJQivUTPi/mdzsE8y/Ne5CeGW1bwXUCApUsT5mGVh8UQK2lQCZM/z91KyL0pByRtsfSUc2Cvglu7Rz4CeBZ8puLPuH21yieJpp099PyIm4rNfq3N+vo43pfDLNRxlB4UJRVpOXZcK07Kkz2jsJti+8dY+X3tyRDeuMdCaemwI03S6kkVBVL79ojAUnUPlnEPZOkxnqlhIlPud2ghiJdCJTHexc7U8cQr0Iplm8gSblKaUeDP59o8FuFObN98rxpb4vGouVAGd2cnVCzRP+dnqxZA1TdjR6TXhVQH47/zxl2g36y/50MfvulHbmCltczPeaaKSj1kCfFZPkteV8I03XskFSZYsEKCyR2HRkAcXKk0Zu/kmhcZVGbDTgfrZKIQysPM5KArXj7gWwLOAM9PdOpMlNtXb1Vpy34vwvZBzHcOjh+qg/XSgv83T8zmDU2XxjLkKH7jclypzTzyKPK6/ZMzc9JDOcoNBrGgo8GL3XVTiBiipqAxwHMjzXyQnKjVF2jeZ1g0pV8/vGeGqQpUhUYI4BXm5eC0rh5AZyEugzkomBCYFeQroPBNtS4t/qRijUr9Sem1FqTmkYPTyBZu5cVkxXxAEN85tec1LVs688t7pLW9ZG+A2DhkP7bcpzHU2Dml4Os0uCQy22k6W/0JXIUYOdHczrFYkIrVPymZSdpVnWbECHMWg/MkSTp3VRqQ14Fmpp2suzjpVnCxRefdKAeys+daxd6q5NbnezixBx9gFuL28OjFCEPGZewK+9nQLGWh8Kdz87byCsGijKyr+JrOZolKY5jxxlxkejjxuvmrIt7+0xx98pkWYBPQTSS2xjGPSlatc9WdSOWcmLqjnYnIwWqY9kSIHd6IkShnH6FKmoyVMqRS5XANkC5BXss0Zk2eLdGm9nyxbKAF38nk5GVguo86lTJZITGKkL64bj8ffZoy5d00GP3TkFDPTrdf9yZ9/6fuW5y/QqjlfJuu2Kdf2mvIvJMtGVWV5fgWWGBsKeVgGdwYAWQKFpKh5KI82yJjbbUGSvSZlcPI2rAqLp90wnqqC241TmGDutGfTT9vbPJ01HMSle0RIxJ/f0SaxASrPXpYDzKKvMXM2KhqciXa9rHkkyYJNjcDjHa8c8KefHbNiIoZJjWEi8GJyFpfSImORF505u3By/ZQU1qQogVyQ6HRsg0pBri3KOLmSKDdTUimZZo9lXppcWJTl6s6ijDlvSsmBbvMTvwrgk+GZFU6mTxTh5cnCEjk4gCvGKyvo5vD7tlz8+jv7nVNfbE5tqwJ8OI7wBuNLljuD3d1uj0bNT1uKyuMb0n84++XZbJLSUvMNFLf70hmTl+RJDvSJ8sxci09ozgz05dkeSolCi6cVd5VhNymwtRKFk5Lbga7j3jUm25S5iwBTl9g78EIePSQ5eKaGVR5KSnzp/NpKnUZJgE+6KNk973QqNYdkjkoUe+zeEnHlxX3uP1AnUj7DWFCT4CUWHYtUvqVdOHGqw5FOLlR+pSixuChJo2KURzYTUiuTgjttZ1O2BO6sFsimZQIZk5OvHqIEbkQ2Meu52XsNvBdArxBptRrVlL6PCfskSX+3NeNLrA2/uIrBFxaWGY1GjEZD5zYo0JUqsDTzljmSJUYvH8Rv9LHL0iQHfBnoJXCrvOa7sN0KySJc97wowO2CTJF3i+sc3LIC8PLwH9dtTw7sPFuZM3eCr11ix3UFRVgi/uKOBouLdUSgne9evggna1Dyq5sSGxXtWuU67tybNooo0qyblbz9VT0ePdRmnNQYKJ964rR4Vs6qJCm4s7XCpJ54ORoqZZOz35nOeyxPpXJ3icrnudv8uQO4TL+nydvmsi5/IWTRHDHJ4BNNK0W6b3WhXQVTthpo2qyGh6zfIH0/UYxHI/rdRZK4KC7MAf7Bj3wSJSXn5ldo1xVCFp3OecQvy7YTq9j7G/F35v8X8mTisQzoMotXxosVjC3LDK5EicUzuSJRugpwX6cDgLxs68A0w6ktXp6KN+nzpHLXynXuPHscPnp7i7H0UVKl2cvqhTiZwZy89CsxTEWHp1o8UcSJJkg0b3/tiD/6/IAnj9SJlMdASvzEpO6RQCa2dJysay8T5fXUpL+rum9RmckTAzq3EN1oa5WWBKjEFsM687ksIr+g4wk97s5nuViOEpNnIP/6WCkcFXf0jHWMnneHQaWJJjE1Tp04ypmzH6dsF2qAo8dOs2vnlsbP/tK7Lzp+aoHAc6ib7IbOxzqUPsBz2durwC0mn6/W3s8tUUQOnMlxyLLE2FmQmU1t0jrb5DXV3moC3Fn63ssak42bGZK3iGU9nXF6j1BeyMHTml7og9KpPLET5bGTF24V4dWBRhNeeNqNUyR+NE1PcPnWEU8eDElMwND41BJXs61TDa6E28jVJZYytjRkQWbB5EURXHZudR5nufeUcRPJtCHtILJIU0wIyKZrJVl3f24AFMFlHnhOnO8MNGvV50x2TVQ887I1mB4vm40jSVcj34+Ym5266PqX/GSju/LDg/b0Fgfws2fP0e12XnvJjvU/88zTT1MPsjJOlxiwMrUKTbG8VkYFsMZiYydAXWLvDOQCl88pA6EAdtHHqEqsqCpDNTOQU9RIqxKo8+eikF26ALcDcDEUyCvLkzJ7q7Sv0w9Z6hn+379ssTisIQLPyRNpK6tKMTjn62vOyjSBbE5MzuDOUYljTbuh+anv7PGVR9ssjn1CqRlKiZ/2UBYjH1IGL9fTC5OX0VpMCm6DpVyn70Ci0xklWZCegV1JkTK4k0RJ7qKQy5RChxfthIVMyQLPwirM3rclbJSPS46nDNjZ8TLZhN5s3o7Ih/EPRzFzWzb+zOmTB+6No+EncwY/cmQ/QRCwvHiaqYbFWEWYzmmWieuukBaMrBYKlT/Q2rS9tnvCBLsVGlwUIJeTEqU6mCYHthRIVYwfUyVQaynRqSTROcAzzW3yoNLTJge3p7P6iyp7eyrC90M+cofHM4frID2klARZaWzJ2sz3iE+/5HNWE5bY3JSYKQN5bGS6yZPH1bsHvPmlXf7o8zWMDhhKn0CKPOmjpCAqBXSTTC7KTF5yIirBmgJl3aqQjeDLZjuq0hY07hwUs2iKybSuj1PIqjzJnZUyDiZer0kAZTaf6OMtyoDdNilhLOn0LOGBMyx2POLYbb2oAdbP1akFPkszNZp1zThKtXacLjH5oB6bJyn+WtKk5JY4XGeF+XbVQJmKZ5wHlqJg85whvxHAZQHwPNGTAdy6OdmpFPFU4ZZ4peFAheZ27O1pN7VquWP4q6+2WOgEUEvdE1EKxp5DopDViFTO3HPYdvkQJYlJMjdFM9NW/INXDPjU10Ys9gNCpRkmMrUnRereiKIZW04mVhx7Z2+ZnM3Jda3OnBWVPpfp63T8dXbcyyAXUlB032dDPFPcVPS4mJArYg2A53zurLYsaymKCpDcGjTZrhKCMHYN2r2BRA8UjZEmjpwk0w8/cYDpmZldDz/8yD99av8ppJT5ABgjS2AWIG0h9m3pM62Kg0tsbZk42RlTTzB4hb0rBytNnFSAXZ39Xe5wccPdqYI729kgY25VYu5VDJ6NmyhGTmjlMpdHjwkOHK9hCBBS5825RfVgOX4QJVej+PK5Q1gGeZ52zmzCwlExxgWbWM2enSG7N49Y3FfHJr5j8cTJFF1ycQr2LBd6pRozK6OFVHOKUvDpjITMOizHNsq4i8aku+TlCS1ZkFEObiPSWSqZJhcTUqXauJwfmQoRTHR9TRBCAfL0IkwEnqdQ9iyXX3TxP73y6lsf7y7tO6ZrnsUX0aaatq9bWVomCDyygESkgKI0e06u6Z48N8Cry1LxmM8KoQryqjwRJWdClILNAtCOwUlHAZd98PI93dJalcFdAnm6X72XloZm7K3S11pHKBXx2ftbHFyog1/IE69kXVYuWFaPi1i1wE3kF3LJUN7dLCujDTUXrwt5480DHnq2AcYjTpwW95I0u5tUpVLBnOUoKQW5tSWJUpIrMn0u01VFZnd37JN0xZAiZXWTrbA2J6Yi4VN+Tpr8ESWZWpYpz9H2NoGzQqo47748W0cpxfJSh95Avm5xOdk0HIhjet20pVazXLwVrrgIjpwh3UaiAKPCNQbnxsnX0yZl3Z3+A89pD4oqm08GaBmgxRrAztlciVITbgnc6XzCYtsOVgNbFwOC8hFv2qQgj508URH1Rsj9+xWf/GqT4ciHhkZLgSeq0mTy85e/85oAz0Fekil2IuGTgjyKNVMtzVtePuLzXxvw4H4f2/QYJgG+IL/QVP77Cx1cDeccyCv1HZjiAlOOzRPp9LgpsXYW1Js0uJRGlPS3KAW61RgqD7ZLcYF7T6wB9K9PCO7zlkZrp3/PU5YRlr3HDDtOW9ZvgW7Xos8t9Gk2BQfP9Hjk6IB41EKlEXgBUhATv72M8cnPtVZAWQW4qLJdyTEpP8+liChALVVp9wYl0tqUAtwFyLOyWYvWxQhlnW7CpFUV6F7O1u6ulAswfT8kChM+f1+DZ080wPMQUqWgSueGlIJLIasnddI1yg5eUUhki+RFebZjPl+msAvDUHPFjpjX39rniWN1xrFPIj2GRuEnTHyWzAtngsHdo534LKjsYjMYJVAZM0qBVW7lzvR4vqJKkKY0y9AUq4acBPhkXMIE8P9WmU7357M+1Xot4YYrFti5eZFWvYeii37Xu7+A72nOznc4cTpg66yhGaS2W3qGKqNlvt6HWOWarB6/uxZzV0GdMXY5wCx2ICikSckqzBk7A3gxOTWXKClzO8a2OVPr/LF47qXBpVYRgR/y9HHBF7/WYDD0oekhRVY5SMkeXCOLWfqeZSrIalGy4KY6SH4i4VMqwAojj1Yr5PW3jPnUXSOeOBKA9hkZiZ9qcWXcBrtlaSAScnlAMmHqqsLJ0YpCukjH5tmqkgX5JpWp0hSJNmHKbkp6zk3B7JM5jlUAnwD912NzMfFCkBXZGZr1mEt3aOr2Uc4dPgo2Rm+bXsLzBDqJGHUckNyXsLnFVfkg+RVX/Y2rPmj2v/yqFZUreE0WlyWwlzV3DnKnt8vZTKXSCsO0otC1c6XPdXk++AS407uXTaFNC/y1it1dR3heRGwTPnNvnbufrkNNg3QNzV6phLdSGlu+l1+sxUQlyzW37bLm8tRRSYysAH088njZ1QPe+JIBzxyvEcceViiGQuMl5J9JJAWLFx9hbSYvD7FXKmNux+butUAakevw3O/PGD1bbVMGz4d2ToC7EnDm7G1zfJRxsya+JmdUlo6xSGOHpU6Lp48KVvpDd05DMQYJI2MYx1ALsgCpcDWK4TWrgbwa1MUHndSh2ZeQZYCX2rrKOwtUgF2RKuU0femuJsCtSnddbIKaAdorgTpzTpxj4h6VivC9iMePST56RwvwQXoIofIuIpVupFrOupYdoexoZfWEFRuslCQrmLukwa1wO2KodPRDvk+8xlrNO1455Ev3jXj4sJskEBnFIBFpwVd63pLMjrNVgip9FmutY/ES0LOfqhT0Rqb7+eSZ7VJm2aa/y5ZAbUoDO2Xp4q+A2+bHaBWJlj7scwWiQhRlCUVBoHCN4UEPLx641ftLj/hYBNpGTHtxvuxKSVrMNHkVlkC8ltaeAHPxd9zHKyLqNXYSEClLi2wjWVGwQ8mtqIA8bU0rNptyOzsUA/ALcFdYu/SYNdZmUkWpGM+LiZKYOx+s89ShOngeSBdc+sKWJseWAyuxKrCalCcZeGzpSd4AUa6OK1cXJhKTjqlOEs049Lhq94iX3eRYfJg4Fh8Ln5EBnYgi8EsyuzAVrEnpIsOWAreqdakkWGWRVqAsLvtphcuJCGcZ51KlFFQW7J2eV1O+8Etz3dfIg1R0uCjRwwTOipLcdDUSINPtwqNYcN0lIa2G2wRN79nkGnnjKCGKBIEnciYsBqGXQZ792iwVXGKpin4qm/mi8sVy+2rCManuETNRfyLI997Jdy/Omm8rDQ/F1iVKTYC7NBQ/d09UgtIlgKcSxdcRB88KPvD5FuPIg4aXyhPy1jRV3iU4v3ALtqnolVX6pAr0skwpbw5g7FpaXNMMJD/w+gGfubvJ/tPu4kuMYpAoV2WYpMkfhFvak3Qsx8RKkhXJlQEubaHFZarRpbFY6c6RlcIB3JRipYzJTTmWWmNlKwNalLCSyZQ1YrYKiYrUA8rwkR/DLIXvkZxr4nmeKzv4yB//zsZ1M/5/Pn3q+B6VDkSvTjAtXAvnYGQsKvOfZfUhWXDoNHJ1n0pVkRvln2XjgNPHdDxwDtyJezYyoexx54+60N3OQamCu7xXT1FMle7+oKO8mcHTIYkM+aNPN/jTL05DEICqoZSmoSx1ZdNxFOQNzl6pNa7IpJYTUbJ0XKkEqEUsUdiO2UUrJGnjb9ELqaRFWMP2TSGnFySPPOUTCzd5wAiFEK6Udq24p2oSiFyTiPJrWxI1KdiLi4HC+YEJDZ/O/87eW+te/jslN8kwUedNda8eyn+HYlpauToySSTjSLLc1TTW3bhp3daXf1kfOnJiutfrvUHLmEbN7bNTLAPlA1Qdf1A17AsJsqYFVHpe+XcnXudLXZm1K3XgtqK9ZQ6GQpKokvZW+U4PpY2olJ2QJFmlYMbeEZ6OOHBG8uGvNHDzVxx755372e8XVMYLy9L3LgeaovwiB9AEOEy5NqSYK5gNME2ywaaJIlGpFk803/2qAZ+4s8HeUx7IECsko8RDk9aLZMc6SVGSFJ3pDqol6ZSVYuBmY2WfTZaSfNI62ZLpbmnd77Am9cfT4jxTWZ2rbL5amky8l7E5xbEzkAeZ5X/PpDIoSf+esYL+MGK213nDsj46rY+d6bG8PCCMDLVAYVV2RU9qb7EKzJMfilWgX+sCmZAlZR0rq8/LAHddJJn+Lj3PgJxVu2UavARuN5HVpI/ODlTKoDK/W8UoGaNSeZKomE/f22TvwUJ7SyGd95130LDmCZw8AaLgxooGL55XG5ArnnhpIpU2wtWmyCKFH0aaKy4Z86aX9Dn84YAwUSA0idAMhUAnqX2Xnc9MCpRtQmwRAttMlwuUTeszcNLEWptq8fQubJHiF2CkA77JZErJBy+DvbyiFPFYyZRgbdCXSdWkf0diS9WoxXfwtWW2NWZuaoieaWtMqNJt6kqO9xr/OJO/bFWQKVb9fFWknAWbcvWVLSaBPcHa2euMtTOwZ8ydA12VmbzQ3SoLIrMtTqRBy2JovlIJnhdx5Kzif3y8zUh6ZBO0iq75dAUp10CX9WTloDz3La/IzJdYWykmqm7LKPNa8QzcidHEiUeQxPzkW/v85Z0NDp/RoCIwmkh4DIVAJUVQJsvB5gTIM2/eAjq74NL3pHXpeYtNWTvzxE2FzW36e4wUCFusHqvNhExLT2rx1UCH1RdG9l6CY+/yxeB0uKA71Ki+j143pbGRptlQgMj1zmpxX3jfq8E+AeISm68KLiSrWK/S3CBLUqXE2lkipQpuU0gUWWVwXfG3UzBX/O7SXToW93RINzT8wafanL4QgNKpNShTeWIrvnf+fOJErVq1vh7QKWvSosG7ujNdNrhHVqdgSUUSa7auH/Ojb+7x6x/w6UQuILBWMjbK2YZJ9jmsW8tzYVKAvPi/+4lKr8J0flPxKAvHR0pbMLgtnbvU4LA5gz9HwLmWPBFrALyiCiZVQ+l6TY/jaCRYXIEY0FFsiWP3J5SSjvbLZyADZ+k3rf4AWRls6SorgTprVap6omszdwbsgrWLKa05e6cF9wWgS0yuTcroJpcmTo6YklTJGDvOH7WK0EHExz4T8J6/aDM2npMnQuXyJG8qnrDEKro7X8nKR3FtiNuCQEtWYRn0Wcreum0aTamUNnVVYqOp6Zgff1ufA8d93vdpp8VBkQjJyLiAUybkDF4UYGUnq0jdl+1KB+pCslibsrkogj9HOrYoqS4dG1v6XRmgTUZyTOrxquTNmXsNcE/+bPJmLEXD+XBsGEcGYy2enDwxk1dRSU+uuqJE5RdXTnyqfCZrE1YX5tgJiWJLQWa6RXd5y0BVdh1MSapkYC4xuSyqA3PdnT+6WYNLy/CXX2mwPM7A7QDuSae9tajKk8qqk9llpYOeH8nSIS1r7QzkmVVYqeqb3HrRTNSJS4kyCmM0caKZ8hPe+uoBn7i3wWJPgYzAKCKcHp+sLpw4y8/J5C4PVCSFsvqULNi0KYvngE59cmNZY6VOs+PWrSZGlgfo2zWxtFZycS0ZU/4mSkLNd/ssadfxks4MyTIXq1i8erXkmbnnWGJgAuBrLlHpVVxuexIl3S2q0kTmgWW5waAaVGbDaQpwJ5UAMwsys31udIm9vUbMZ75a48Gn6piS9nZNDZk8qdab5K1Z5YNe0ePFz9Ym8ZQ9y/aXtZUSWlMCfh50WomyhS8eJx7axLz46pBvf9GAP/msDyoEIbFCMDYaJYTbgqTsOZcmHVQ0eckHz8Iya93xz3ellqVCMelmvFSY27oL3pZaEk1GYhlb2+xndkLSlkm1DPDiB5M/KxOySSxRYokTi27WFWFDUgucz11AuMo+5derlokJkE8CvlxgU+74qDgnsgDMZCtUGdiFi5K+VhadjhiTMnVMpE11dUmSZI6JLEkU6dyTwIs4fELygc+0ONfz3X7X0g16V4Jix4aJeGGV7i67Rmuw9+StkugpMfuqrRaz7vFK173bP8c9uu1PNjYTfvDb+9z7VMDh8xJEBCgMkpGQpU2kUlCloM5tzPIFV+bzPJuZnocymwv3PANzJluyldn9LJv9nsmUIrtaSLqMwcuBcDmeE4BZk7ErygIYh5b+wBLULNpTIp28KpjYkW4VsMtXSfmtSdbOgbyKwSeG++QBZ6nyLa+vLjG3ygA/AfJ8Rvbk8yTX3hmL62wcsIpRMkGntqDvR4wTw+99pM3dj9Zdb5vUTntL6bp2RDF/Jf+s2coyuVpNMHn58JXPzeoMZuFalGsrTNkyzDW5azczmaOSGGKpUbHmZTeE/Ng7uvzi7/mMY+kyUEYSp66KNKL02RzIKyMcrGtJo/T53GtRig3S7noLNh0vIqXILwCbsrW0mUVoc6eFChbWYO0U/OXjl5f7TjL25M/TW5yYdLNiiw4jSxhbjHHDcJ7T5ZpYNioAX4u5KQEansM9KQ/2WYO9S/vPy7XkibR5t7fbNtuUJEpp7G+mu9MZ13lwKWM8P+aOhz0+cXeDcehBXefaO2fvPLClcl/F3KJ6bNx97abjcqtfXj6bS4Oi+MqqrMqwWiueGIk0TqpkQI9jTb0R89aXDbn97iFfelg52xAJQhIJzTAjn/RTZgFgztayVMpbWmWcRZiBOv2c0jXDCFG8tqk0yYCenV8rRMrcLv+BhPI0s1W6WlTxBQXDr4nJvCjLZdI9z00v0/2RYTS2GOtOZOUfF6UzUPoAFdxPBgGi9MGzn5ei5rI8yRi7ElRmYJclxyLTv/l+6u51rr3zSagFsLWaALoqwK1TcPtexErf8pl7G+w/W3PSRLiSWJFpb0FpgpRdBe5csuTHQpSA/nX0SXZorWPNclvgKqkykfiZrBeXUiFNgjSaaKy5bFPEt7+0z4N7fTphmn41To+HKLJ9ICSpN77m4A+nsVXZ6ZHObVFpS1vB5plUSRM+Iq0hz4Fe7eTJ5g6W47ACX+VGjbUwZ0tvVmOI8jmp+4JmTaDXTUu0FSw2XP3DKs39XLcKsIsD81zBpaCU/SOTJ9VkSRFgFsAuwJ354EVwKfPB7LbC2JWAMkvklF0U6TrlDQl//Nk67/l4Cyu0870r7E2hvSvW4Gqg58ctO0kTLDN5jirVe5RkSq6/i5mQk61s2ZaNxhhMIjHS+eJKGqLEQyrDj79lwKEzHu/5hCaKC5AbBGMhUSYbJJEt/yWQ56DOdAWkk9/S75RNV6AAunBAltlfE6lUscWICdIYwOZS1R0cY4vXlam0lWO4SuBVLsgyFsMoYakTI70EPd0aY6OQRs2kYyEq8Ub1nyxf4OWrawLQBdBt5f3CqpoIKkvvZR53xuzFTLzU+55wTGQGbjUhTyb2rFfp3jNOg0d4fsShc5JP3Nmk3/egrlazd17zXVpdRJHgqcixiec5o3wDnqhsjlEGO9Xio3ySkywBXWZAlxjptLiUmihKaDVj3vLyAZ+/p86hs2lSwQ2oJhGCYeqFCQHCpGfdFmC3OahTt4Q0+UO24GROSpa6d+ztZryLkjypAt2WJV1JomTMvcr7JrsQquCz+cErxFT2fYajhJV+jA5i9NEzHr2upjcUtBrV+oBqIqL0uvT7Vmc8V4MaUhDLAviyBHg5EbxlwxxVicXLiR0pyoPZM+fEVLbbkCVZImXqmKRMrnXMODLc/kCTrzxWd8PBpecAPsHeWZGXEqIaDDNRkFZm8okA8xvd8mObp+6LuzFp9jCfw+e2InG62xQyxUgSIVGJxAhFNNa8+rqQV794yMnPeYyNTG0N6bZ3RDMSIE1p2yohcgM7S/2oiROe14oLcuAjREH21p1TK9LAswL09HfJMkZKTdJ5LDmRTCx1uZddp9zVtDb/s1JAsyG5bGfA1i019LoNF60kif285wXf4bpbCmaZnL5UVjw5i69RpL4qyJxk7xzMRUBZni29irVzoBdlo1XnpKq/VZ5+T0rPY6R0nTrSj7nrYZ/feP8UidWFcyIVQki3D5Ao0vJVBi87Pmuz918jiVk6W2uVkZYbIFJvnGzqVVqMJQpHJdfk0nnjwmji2OD7CT/7Q132n9Lc9ZDE+CKFrPsCkVEMKQsqW5Ila2jy3AtPV9vs86arbabDRXoBGIpRErZ0/kVSADtbvTOmdjiyq1j8uQghiwPc4uPOWb0W0GrNfH7njotW1BtevrVPPH+4Wbc/FugxWrsvkbcbQe5fVpIx5QArKx2t+Nek/ZMTZa6qFDhWKgMzwJYtwFIipxRQ5gVVzwHuslTRlYSO67U8tST4jQ9Mce9jTbcpj/TTklgPLQV16XZLdJtc2dW125V72gCdD8mpDiPKat6lmmiYXnXc0mxofgwnsrplMijNARSTUq/8Mwvr5mICbXnwSZ+VYam2IA0zsyniRcWhu0JFBfh/nau1Qnn5hVvKHeXFXFXpK6qxSOk5VqwReGelxGnNTuL26IkNRDGEkUEon6MnLvzgXfc9tV9v39hHCEESxwwGIWHsgpI4EW5zTuGyVNn8uvLnq7gnz8Hc+YHPlqayNKm4KOVtMarSRK6hubMdBta8q3JgmZbCps8TP+EDn5rik19tYmsKhHLoFBohZaXfsuhv/Dod87lkybTJmud8VYhkJ16vAsREt/1kh49J5wfalLmtNUWNipBIo0iERg4T3vqKIc8e8XjXezVhEJfsLoE1HmPS7qosv564bI3FFqBMV2pLmt1Mq/KysWo2ky1pea5NywMyqZtZh0KkYW1ZmqQxbn5Mc6liVx3KakLMpnPVXT1VlMAotPRCN6nMWou+9tLTKGnpDwUnz9RY7DRSwDoDKREWjCt/LHa/olyusEp3rwZ5daRY1Tmxq55XwJ753SIFeEl7VxhcJiUnpQzuBFmqPfnSQwHv/1yTUZJOwReZNZhmLYWtaO81U/NloJe/9yqJ9o3Zz6YIyLznVRlN7KoSWitLmU1ZclaEcswm0+IsaUiMJvAMP/TGPvc94fOlx5xdmHnjSIGxmrFx7Wh5EcmkdZhKl1xKCYHCpqAugVyCNZkOT+vD03sBdBBl56R8vCqDgSYYdEKSZOBOEsfeo8hyviNYCg2JCBGA/rO73Yjklm/YMR0R+IYodpsPZawhZXHFlAPNtZi76qiUWJrqVVxeVp3vXbIHy+AWxc5eapUON1UPfJK9ZVIEmDpiMIZf/cMpjpwOsLrYLbmivTOJ9BxybJXmLr9XBvLk8rYGyCdXxGpGs1x8Vdbjq2tTjEwrDmWZxRUiMQihkaHh4q0R//4fd7jv3wb0RumXMTL/XAmakU0/Y1bcbQqQWwmYFNSW3GFRaUCZATtzVERak5Jr8xIJZEAXEqTNSgVEweKlVW9VkJk+Lbqeip0pxpGg1Yx44Qt6zE0bohj0g0+/gDhRTNd6iIvn2b5R5gyaNXZibK7VKunn0jIy6XmLMrAngsgi0CwFmGtKFFPywUt9iSmb58xdcU1Ku/OmnrfWEXECv/uxFo/tqznPW2bMXTgnnqjKEiWqrF2OQSaZm4x9RDF0cy2+XsXkE85J0QBBUcxkM5lIhcmNcAyeB51GOpAnEiPSe5JKFWO4fk/ET31Xh9/6yDRhkrI45FFhgmJsMi2eFpWUQJ5LFFGy50Sa9DElNs9a19LXMmV+iciHxorSdVSVKiKXLDZ9LEu8qvFRzhW4poytc5I337yNyy5qMhgm6F/46e/AC5qcP/UUJ/b/lautNtLV6ZToJbeRslNUmd5f+pAUyZAyUwuKgKjQ3oUdKERVlhSAr+7PWLB3UujyclKnck8Dy1rClx8IeN/HWnSGnvMAU8+btEnXOSdF1rJcMFTW4YXVucYMwkpYJvLXYhLQE6y9Cu8VoBcgr7J2OhU2kyTlJJBwNmIiFdIaV68SK9o1w4+8bcAjzwTcfr+CRkxeOAIgBbGRjMhiigLkFlcaS25bOs87rTBwLJ1JGOP+SSWKhUCWGF1MAH2V05arJJGrpTVtV1EctGzK7PlFQ+y/hOlt10Knh56ZsmhfYOfGhOsXELJBkjQwVucbvxb/nmVSlhTbxVWBnTN2ZhXJ1ZF+PjRdFpsZyZIkKWRKscOuA3hS9bulswJlvq+6CyyljJE6Zt8xzf/4aJtDi75rg0/9bvcoC/YuNTxXQL6WPKlIk4mG7NVqpHpSShZXDvIJ3V34vaWy1Ek3wa5RiGVNvqmsyKSKsAipkZFl92zMT769x7FzmoOnBVaXBZYA6ZGkIGcC5KRJIJUv5anfTQpm0u3/MuuvBNzMgbQ5mYls0SukSxnoKd5sfrEVuCtTSIad2EAvNnSGCQsDGMWKQaTQZxYN7ZblkYMJH/5EyK6NAdfskCgliePijFWzTtVlpSw9ckBXArKqFCnLlcnAUmSsXHm/pLuVSV9PJnMKoCuVIGWMH8Sc6wh+9b1tPnFHA+upIh2fSpO12Luo+16dki+De62kzpq1PBM0XmHtCbBn762uSSnr8AzQ5QA06/xxDC5F9jwNPhNDjMGTzlXpjCU/85uK8ysCAlHoCSuw6JzJC3mSTRhOH6Xz41UqTwomTx2UXJYUX1OQBaAlNv9GQE/97TLQy4yv0oO7qRHziku7tNodrt8zYN10TN2P0AudAK/WOHfoVPOLh05c/rrFC30aqs6mOZF3qss0Qsz09iR4y27JZABZ+LQZW5eYeyKoFJMBZZnNRQruLLgUGVubiiUopQO3p2NCDJ/+WpMvP9RIa00yS1CmDJ6xd7FrcHneYNktWVUWW2Ka8kGfZO4c/Ksdr6pHXAY0hWdsTVGlV640lKmbkunxRAiESBM/qbMipcRYlb4nEdZVHAba8toXjXjTrQP+9POSMBYubZuzOA7kVjIy6dotyjKlrMnd9DObMnvhqoiUsVOWL8u50vUkJoGe3W3xZ/PDWjre5TxCLRBsnKtx3S7DVZdMs3WH+mJ71j830xCo973nd3jprbeurGvLle1z5h9qs0yr4ac12BNLRukfrdaQlJM3Nh/nkNeWyFJNiZhM7GSFU9U6E1mxAm0F3GXmdmxdZCyldHNOEmn41N11/p/fn+LouSBtYigSOkiNkIJAQk26QfY6HQOXzRYvkjnFaDhnHxYDkPIptwKK3TFWDz9yAbusJm4yp27yXg5oy3FLeUXMf26LpRooj2uoZApL5xBjmW0nXHFJzMkLioMntDMR8quxQGNm9RXjLyb/zJraYUKTVesVM7PG2rWue1H5J8TkvyRKxz7dGjLwBb7WLHU8Eu9KxsnGf3Xk0IkHdu95WbpHz3SM50nCDWCGCu25f7DcOoW0VZbOGDYNGKsp+NUypPJaltPzhQyp+t+m8n4hQ7LakhK404AyswQ9L+HoguR9H2+y/3AALZVLEpfYcdo7kyZ5nyUl0GQAKjN3+Z6VFq/K/q0+38XrwkVZK9njWNtMJHwKF0XmDkI1fS8FGON2Hc68cZEzu0yxaNzUK2tJjCYaW/bsjviht/Z46CmfY/OlpSoPOp0MiRGMhAsuSUe4WWOL4LKky/MalarqSWvAUxMilSoZcWYrWB6r2fR4pn84/zvpRVF2YrMgdDCKWV6JqE+NEP6I8TgE0k2orrzyMpRusHFugG/2cuqCzjOXRaVWmVWqll5VepRAvYYcKX6WXSDF87INKEped57kSXW2TEEuZamYSmSWYMxST/Dbf9rmzsdqRZVglrFMwa0k6Q7F5THIRcCsSmBeyxZcC/iTFvhf91YuaqtUFVYssWLzUytsIVNECfylTKcU1jUYGHf8jVDutZAIFEYYkoHhFdeN+Wfv7PIrfzjN8jADdqo9TCpXjCaW6Wjn9JHUPrbC/fnMJlSy+IylPa/yz17W36ukSwn4GeaySbaOcR152tKBzlatODacXLJc0dzC5ZdfQbc/zK5RmJ3byKatl9/+lQfO/8bXng6YX7Zu/xPKJ9ZOLI0F2CtVf7nEKGccq/Xb5c6c4ufO7pMlYGu5ujpQ5gyegbvIVioVMxKW3/t4k/d+rEUv8lwhVcbcqWviZvcVzkmlqCr7vhmbl2OMMlOvCeZi4OhfF+mT3fU5kLOfld2Wkl1YuChlC3FyMq0rp7Wl3SKMUWlHkNPjLQ0/9rYeP/7WHnUTu+IOmz1GYGKwMdZYYgtjA6GB0AgiI4itIDK4WeZWEGeJF+smcsWmvEV4dk/3uMw2kSrZfOXkjdvq3OYbEa9q70tZXwnJ7JTmDbc0uHjThd+47to9t2/ZvKkAeKO9jX/2f//K4Jn9vaP9YUAYpaMASkCuDOCZsPEma0aqrWWm8l4Z+HKytUyUgsgU1DmgVZLKlSyRUwBdppag1YZnD/v82e0NulE6GZMM2JnvLRGk0iS/ly7eNIu5ZqayrGMpMc/E+5T+zl8H6UW72oRlSDFksryiuougvG9kBmpZfZ2Pmsg29lUlkCusUcSRoqUt3/vaPldcOkYmcQ7qKtgTyECeAj1KwR2nwHb3SVCnu8aVQWyLn2UVksa6P2Mm7+n2ldW/Z/ONAjKQ+55k3XSdKa9/9HN/+RuDSy/eWkgUgB/+/u8gCGo89OB9HDn4OL6XbflRmvtXAXWpOSHT33lfpalkK8ted/l1WXeLkjyRJd+7AHyCyOzBNVLx2kt48ojHT/36DE8dDLCeLGRJzuCyZAvafJDP5E4Na1mDa8mUSmKnFIiVw/2/llyx1adVX3zSLnQn3GUKHXClLSSLES7ANVY6681ajJXpn3ETsoRx3niCdZ51aLn2koh3/8wKP/afBE8dSoMTmX0YUSwnRhPn2UvwU9uQNNGT1Y9bY/NV0ZYkTJYIylRQIV0K2ZJJl1zD43BTDkDdrCqLjN1k4W4/pDnzAq664RZGoxHws1WAb90yRxDU2bqpQWfe0qobfF2a9VfJIlKqHSl5xrJsB9qqJpd2AtzZny973tnz0mMpFV8weJLbgQ7chp6V/M+PN3l8b0CiSqwtinoTKNmCFVCXKxoLVp6cO7hqLEQF7AWrf53ykzXlSQXjpSxm3qdZeb/M7BM149bN7TYmdW2Em0xrMj2OxQiZ5iokQiiEsSQYtLBcf8WYf/KWPj/7Wx69WIAHebWUIRPHgCIxkjBrYzMO3LqkvVWpCtGaIhi1zwFimf48r0CUhYdOOrE2TzZlZQxxlvBKGIxiBmMPvzZLbIb5cc0BXvM1vu8f2rTePzza5u2OonEakJSyjBVJUiqKygNKM8Hm5QBzNcCLQLNg7NwLF2vIlCy4FGlQKRK0lzAw8L5PNPnol5uMMzBPMDfCWXR5QdVzsPfXrRQUBbCryRxRSJZVyP5G8mSSvUvAgIoON5CPMi4zeiFZbApumbO6sAKR1qgIK10Vn7XuubEO5NaSJBZfWN7+6gF7j2ve9/EW/Qh3wEpBZd6jidusNstO+hm4hcDgAkmXqi86oVTmspSALtK/n9WqZN355VoWK0Em7jNkrXISJ1eixNIfJtTrNWIbHPY8/5CQYf4Z84tkdt0WVs7d8cVNG/wPXrSzwXRzSM1P8q323HTW8kSp4rUszySZDCRLK0C5lqRg5OpdranBTQXcOXvrmF4I7/1kk//03jYXFr28trtca+LuosTedlW2spqVrToqkgmwl19PsHblZ+LrgztDdbnQKn+v8lKkjF4NMCsp+2yWOKWfG1FxVqq6XFW2KnQj4BSb5gw//487/PBberSC2O0DYjNdnhS63CZgDca6oHOcBZ62qsVjWwSgSaqzV71O9XpcCk6TUrBZ1vCJIZ95EseWcWhZ6CSI2jrwWh/8s0/e/cWdO7auZnBwGSHP8z8riN8slbpOJgapxITMYJUEya29CfbOWFqINeSJsIiSFBGT0kRkVuBqcGf9lbJm+eRnG/zaH7Q5t+SBr9Zg72rG0hNFAifTiBXPOwP0JHOXM21lBi/xtJh88294K2c0C/CL/I21U/dFttNY4bbRFgWwhS08cSEy1iZ9zFZox+IYTRRaNs8k/PyPdFnsSj74mRbUMgYXBZNnBwqwSKL087tCMJuuOAJlnovNScdJFIxeznAWJbbFBNu0nTQvjRHCMboX+CTKe9wL6p8dx9UToMovfuO/fYirrrz0xJl5fVMYmhs8laQtbKWprqX0/Sp3RE3ImIq/PRmolp2YlP3FavbOfe8SuKVM0DXDodOaX3/fFI/tq0Et87gnSmFlWm8iXclF1rGT7e2+VjvaZKOD25N9Ys+gyutisyyR/SzVwPnGWrL0WPQaVG1XWZVKQojVA5MkRfmxLL1HsQpVygmypVpAURhXnltTzKGUafodY5maMtRrlvue9FhalhNImQg60hcGQZL+3K66/Et/PltpRLZMCfJspygF2aV/P29tK1mE2ffaNOtz6Y76Z86fOfq7P/svfqgC8AqDA2zecjFCCAYr+9Bq4Jpe0i9e1JRARVOX9PRaGcyyQ1JoclP6u5PMXQ0oRf48bT3zDYfPaP7Du6e545Gaa6CseN1VaaIF+RgILVdr7bWG+VT+THlw0aRMIRv0U0T4VZlSBdxaLkkGgvJeOOU0dsUfz+ugRb6fqbEg0gBzraIsgZMEwsg0SSTd4HhhECZjcUtilUumYDEjy6teOOKXf6rDL7x7iiNnfRd0Zp9qlS53lqyxv9hepQAALkZJREFUEArHtFkJrUnBbwBlHJsbcJtYpVlQF1+k49/SQFWQWoFZQEpaNpB1A1k35zAIAnZt2YoxZhLOqwF+080vQwoVHt9/hv7yKYxxWU1KV/tkAFludK2AfhWQJy+K1cAWmRcuDGIC3FImKM9w7ILmP/7PKT56e4NQpLtR5Wn4cmDpghEtynXea2y/LSbdElY5JBWNXXZKJrT3c97KP5wowMgAL1hDi6cleuWNn6q7I6eugrVpBjHLbBaNENKIFBxOwojMXswBb9PZKOSSJTZQ0zHveM2AxMAv/O4Uxy8EKcjTL5SDPDsAFoTCIIjSt40ReDJt1hBuVqFJA/xCipQswvRikEnaKCGyv1dUFxYDg2AUCi5vb+Z1r39NGEXJNwZ4qz2L8qb+bY9tV0b2wCtqKiYxKl9dVmvrCbaugNlUWXwN8EthCqDnz5P0cYK5teH4vOZnf2eKj32pQSjTrdfE2vciY1mtEsxrTibu5WW+7HsjJtm4cE3Krko12/M3u03gulIXvjptn0IxHdSUMXi1MYJCf5d0uBSytALI7C+7+g8DQqi8oTiOLZ5O+N7XD9EKfu53pjk+71flSuVizX7ghsLF6Y8T486DwaLTz2tSWafS2vDJ8mQrspS/+3uypL8zMghjy/qNNV5+27av7r5o+79dWu59Y4Brf5oPffz2Lmzcr/uzt22bWVBSpaCQ5hsCexW7V35uqsDPkz0m/7nT2o69lSiKqYRKOLOk+PnfneJjtzcI1QS4VwWW7qB50rG3LrH3qsFDmVtSki9QLryv3tcKMLOzXZ6d/jdB92SAOemLF28Kd8LzLKaTKdamRDoJ9pTVy5LF9WJmn1XmQzGFtBhj01oVJwXi2KIxvP01Q+JE8DO/M83ZJc+xBfEq67D6oSWJdYxtJtjbpJeDsSK3a41I4xprJ8jH1b+IrMEidQM8Zbl0k5e86LL6/v1Pf6a755o3rTq0kjVuxghqsvtTl2wLnrRpSblU5jnswPK4htWpdpV33yQTPZNF4Fg4JkmlQjDLWEplSDzBH3yqxUe/kDK3nNTc2aMswC1WZyzXZO6cmW0O4rXGQ5T977X0dZ7JFOJviu9qNnNVUqfqe5fT+rkliJjQ3iULsXw3EmvS+hRbGv1ms1S/XJXSN4lAJ5Z3vH7Aj7y5j06Swj7MLEQTle5pet8Vk2AtRGmKf2hhbAWhEYTGvR+lr2MDcZJajJX0f8lCTO1Ca0Erycqw/eTps4OfUnLtY7vm2+/8rtfw4itWkg2bd1lj/3/tfXmcJFWV7ndvbLlUZu1bL1VdvVdTjTRgQws0KCIqoI4DrqPOj1HH0XEfeaJvnoy/mXmoD8fd0RlchvfmyYgzIKBC64gNokArIC12N73Q1V29116VW0Tc+/6490bcGxlVXb1R6Lz7+0VlRmRkVkbkFye+851z7hFh3ThnhBtJUNGkO8lp0yIFhEeV7no+NyWhkX8i1mPOHcmCFgNsgk0PZ3H7phyq1JKJ1DrX1h4hwvEWTaEmRNw8LWJybyqtdxpoDcFAt+IwAa12qEuTnQu4tR0TiYX1hRBaJDOaGMfYT85+FeWvaBq5ZtmZZtHNZCyVnGXJi0G0SWEhhcc4Xn9FCZdvKINE2VDhLEusl0PmkwRSMxcLQTUBdD8JdJYEuljnXOSfrFi1jG/+DcLla65KPb/2TCe+2PlShEH59sZju1babF9enXhl6UwqonRseeqpvl166wZlUdxccywJByFaKiwRnJvYwD0PZXDDF4v43R5P5Limat0mNXFJPTUx1ZFEORq0ogIDs2YrPLVDXaJVCqiPC+5EGLOenpBYA4fuWCY0cRX1MwqUufHIDD4OEd2U2Y+MCaoSKSycRyBXSh4hHDwEBpb6+OwHJvARC/jBQzkpnqQdKUeUzMJp9NtwUJFUJc+bxQFb5gdR+XsxENGqMEqhILJVuBIfCco+sGhR2/S1r1x/e0Mug5s+lH6OZzDsQKFxEX/iqS1fGPH7hsdLJXhuYMxBoltp1QNH1UxaWjqr/mhGLSVVIeq1IN5OxGcSG/j+g1l89EtF/O5ZDdxEZQkmw/FCN3aIuHLthAW3kAT1LHQjTVVB0oKbgySecMwy+Czbk8lX2rbIAU1cEEbIHjCimEYbFI2uKMst6Erc5CrULHlo0BYLrEbR3+vjU385gasvKQmzytIst4p8Bol1YdG5sugyM7HEgAojqGhWPUrJDWPr7TOCUkDh5mv446sWD+8f2vKF5X0LZzzVM1pwAGjtOA88GIN/7BHYdByc2eK6pEktm6UoJbJreZ2jyaVF16y4lASpfC5oCfD9h7L42JeL+O0uF/DSI5TRc1AQgkg1sVM4dxw04QmOPQvYdcwmLHdK8qCG9rnzcJ74eSJrHb0ey4TRZPnRfro1jzVxTtKsucoyZGaUU4YJibxSCKfyc7jU2WXuqvpGNY6BPh9//54JcA7cG1lyeTBEGiIOyA9FbMnlHG/yx+CcSqVE8OtAGiSbEGGkwGGDwNYUpUrA0VMo4vyBfnS1FWY9t7MCfGnP8iqvbnlXNdf63eEjw3nOvcgpVNM3mHIgM8AcLdDXGUxqYwKcEA7YBD94OIMbv1jE08+6IgQfhfB0gGuOJY0dSwPckdWOS9L0goY6qw3zUefVpuU2Cx/UFWCuHh/iqgSrjp5AU1UUT4ikQ51+6BydaAEkooFe0BIm01L1yYPEXICmwkKIEK2JlBGJrKJnqqswKEgtxNo+H5967wQYB374cDbWwoFYG1epgOr3U8/BYqDLRw6CgBCEJAa6QwhcKRuqdjKO5aOtdfH04GHvXUt7llVPGuCBv5dl8kseG5m4buKJHd/M9y+ZRi6j5tnmRmCGajwbROPiSIJcghix7k2UPGgBjBL86JcZfOTzRfxujwQ3TYKbJhYBblWloxcy1CsnyQLe2NnU9W+V322Cvb5pkqaKm1Y9frluW4KFaC+QyJtMptKaTqcGbu1iEEAWmraq4yQa0A2NXFXly3RaIikKoVyoLBKjoCL7EFxLQ5H0ArUQZy3x8Zn3TYBzgk2/yCCkNEF8SfztOTMtuB5g0Kw7J2KSfkZE6J9RISFaFMhbDOtXZvBX77piom9J72OHRo4xzDJmBXhIe+F65JgfDF27Zs0LHrBrP3Y8N4ydwSgbMLbGSYutVHm1DdAdzfg9Ctz/ucXDhz5bxPZBHdwxDRGAthPrGjUBUh3KJPVIs+Tq9yAGyM33JdMq9P30n/REB08s0Xb9Dq/tq7+upmhQWUmmswmoCTwjKw7Ehck8BjelsntbpD9KnVz9MwpBb5iG4BrDml4f//DBcfxlADywxUOoh+85jWkKIdAKOuOLOjrpVPtNrQjoFUYQEID5BCwIsXr1uX5QY9e2NTcda2suznpe6WwvtjRSVKd2oadn8dDCniW7bZfDssaQ9aqJfu++WGzxaFm+nKMk0CreAy0qGWhFCyGoxcEsgk2PenjvZxqxY6+LaJqppEoCbRsV4LYksB0tU61u8h6kWG9o1htJylI/7VoqoHXgz+B9zlkqTAJeRSyR5Nux3IcED2eSqjCu6+EyVB89T8qI1AgEiXYpmvMpHdKotTjXdPKQgtcIVvb4+NJfjePy9VVYLE1C1ErfeBDr5TyAqP30gbAGsKq2+AALwRmD7wdgwSQ6uhz0D6zcvXhx39ATTw+KyOvJAhwACKX4p+/cu/e+Ryvv+Ldfno/vbaYIOY84uG35cOxaYpGAj8AsFxJEEiAhoQCXS8Bsgp88lsEHbmnEjkEX3NUmDSEpII9S6HTerZwTUwKsoyOAac1TnE1d3q5zNpP7JGCph/HF6zPDOzVaCc1qw6Qg6j9I702mp5r7mHo3Up5LAEOtUwPsujPKoOY/pPV55NyKA0WcADVg5WIfn/vQOF78wgpoyABfgVwBXqvzjIJEPhCqpQaE1XhhVbkPh0MD/NFFR/GF91a3rl/2yLXjh/52r2XNDm7gOBQFALz8UhwZLqO9JXPwe/e2PfjU4wcvOXh0Pxa2V5DxQnhuFZQGogSDJH8VgAVxv5cIEBIx1CUYHLbwi8dd3PS1AnbsdWUtZT3Hrge6gI6w3OmqiQl0M5U0st5IAb22Hn1pLZqZNqkm0Y5tJhlxthFhmscfxDU+HkniCQ4uHFSi7SNLxKzY6jM1XQM0Ls6IzCFXbxSURSR8iIJLwqiYIoWqqweS5iDqYiwcXg7OOEjAsbrXxxc+PIFPfI3jkSc8DA5bgMO1M8SNi1kkrCTuYYTIOzQTiXSui64CwTlLl6DgFP5m3+4jWy+76hYAt5w6wAGgozWLZ595bOf6s4pf6O88+xI+fQCUMpSrNWz+DcWTu/MxGmT+worFAS4+p4bO9hCWL06KfgDUBXbst/HpWxtw90MZHB2zwB1dz0uTBHXLjqiIISo9Q3q2YKSeQHcsE0pJAuh11j4tz0QP+uiQ5ubqbGDnyd8+8RFpWR7qfbpSEjmgRF0o8iIgmsNJ4ouDyR0jJ1TlrEB0i4hUFotolh4ypTeWFgFEWYWUh0CNY1Wvjy/eMI67H87g0/9cwDP7bcBVBycPMARowNHRIXCyfFGAIIiPlhOKJ3dm8Ng2jmnfhV8BSuw8oOk8cLsM4Oa5QHduAAeA7gULYbuNj415o3eyyW2vOXTsUfzjXTnc+0gD9hzwRKK7uh2FIRa2+rjk3CpevrGC115cRSHPwANxa6Qex879Nj751QK+tymDSmiJ0COlkDAVj0mKorJsJGBVGmyy1Yji07EsyA3enbbNVEBi/hEDv55Yx285npc5B1vOUXd9xBdBMjJpXghcChRclqqrynuiW/8oM08DdaS8SN7OKAjVwC0n1ofsgBA7o/H/ZFRc/Eorp5SBBBydLSH+5JVleA7wN19uwK4hBXIAAdDQwPHaSyq48pIyNp5bxaIWiQ9JiTgh2H2wgh88UsVnvgMs71uHgYGVdy5f1vvYsZHJucJ27gD38gtQK+3Z29J98fv3DP/Y+uKdXdd84wc5VFgGJAMz4cYKMDRCcfuPHfxsSwZ3/7SCN7+iglddWoFFgF37Hdz0lQZ878cZVDgFXCQ8aBqvQ9suH/WAjjG3SVSGxme2xtS03sajBLJu4VMTrADDktfx87kODdTmxRBLgDwF+Ea+Coe0vGJLLCcmgkBQF0FsvRVoxR0gruUEJ6BQKbfKolNxF6aI2tkwyOJmWeSs6AoYB6sCnsNx7UsrAAdu+moDdg+JRgOvenEFb3xFBRefU0VnYwjCCfyqDcZshKGNIHTAmIWFLRx/+rIa8pkSHt9v3/3yyy98/65nDw6uXbUAcx1zBjgAuLk+3Lf5wcFc5hVb945kr2nw9qIt46AUABO+jSCwpWgpKARnIQ6OAv/+kyye2uYg5MB5q3184st53LEpgyqn4htEyKEpj1bC4YxVE5UGkczvNmmINs9gBNSEcpIAL1LAXS+bmJg0jf8JwbwuwSoCvuLY2k5RAYSiC4raJBeQOitu5o3HNZ1M1VpyCGmQqBRbQM8lJzR2QMGUYeeyJpRGAFcRbB4AWZvhdS+rgBDgr7/UgPP6ffz9+6ewYmEAEjKEPkEQ2giZgyB0EAQOqr6Las1DreYAqOHKC5fhysL5W48O/XRw7aqXnNC5PSGAAwB1l6G5q/tTl63btzTjT7z+wOExjJYtBIxigjnx2SZMaKEOAw+AfYcpvn1PBnc+4OGOBzKockmaI5ePJp4nLbdAEUWslswmBaamxKYBOs251EAbUZDEtmRSloH3E8O3BlwkeHjslEVOJtEse6SBq8IHogFaa7etWXFZ3xCDmwvfItpHT75SdIXLuQ71XHKqT1khiyhk6J0RDsqFSsZCAs9m+OPLKuAB0FjgWNwZAiEXN30mFJkwtBGGFoLQRs13MTGVw9ikB261YkHxBbcvX3Lep4ADJ3xejysTJscVFy7AU7/84fi5a3quX9iReWhxu42uZg7HkV4kUdMU2+LjGZC3gbe8qoxv/fUE3nZVGY15HlupuCeIZrVTFogp1ywiqqZikMMAt0lNzACPOVG/GbXUlZK5BXpmR/EJYzzxBsOZNNZJXVg/zlHRo50JelL3GonVFGjSItOlwribm9hO5b5U67qsNHQaSY6Q63ot3vgUxb/ck8X1nyzi23dnUQqJVICoBLctKscIhx+GODjs4cCxIiZLjQ/li0uv3/7U5nFClp15gAPAG1/3SjQ2ZkpvecOrauevbcN7XjuNq154ENRnsCwL1HIA4gABkKcMb3vVNG5+9xRamxjO7/fx5isqQKj9QhHCaPzckAil9Sa63h3PaFsnDwL1smCCPxsFDPp27SvVWWg9VK/vMwNg5wLyiH6kyCVmOi0x1nWebVwIMjgURz9NfdvUvJVzGU/cac6FSIwW4ubnUC2YFD+P5nDRTwQl+Ncfe9iyzcHwGMWNX2nAt76fQ4kTWDbAmA0/cOAHDjJuiE2/ruGLdxDsO9aE/nNeUav42dLqs688GaieOEVRY9XKZeCcPeryszdg+uls8CiQtQkKHsd0YGEyoFjeVcM1F0/g49dPojnPwGsEzXmOl76oijsf9LBnyAE8HRHEsNixoyk1bxLLgqZKEltvg4cngZ0Ssk/TvetywlMtuElfZuquNhtdSfqYOvUwHEuNkxuWmeih+kT2IHSure1LElZcOp5Gcpa8QIjMC+Ey+zDSy7USOJE7ElttQVVYdJFRm2P3fhubfp7B2BQFHIqxCRuf+FojKj7B1RdVsaBAUKllUK2JTtOUBhgcJWjtHih3dPY9SulJ2eFTA3ih0ADOpz6+cmAD/6f/veWDDzx+KNPTwtHoMUzUKNqXlXHDG0Zx2dlluDZF4AuHz6Ic69fWcOWGGr72H444SUmuUOdsSkkQSiXRAjkwHcu6hKo6kMOkHtGj2Ugqts4StBroDKDPmYuYO3Jugt8w1vp6gn/HO4mNhrGE3BYpKzFwkaAqEReH0skhk6j0vqj6xaLdASKHk8Y1oYgBr2bggsxA/NHDHh7b6saCgUUxXHLx8a952PSLKt53HdDdWESp4mKqnMGLVo/A+5OWyuUvvehz1dD+723F3HMPcAAgpIG96+/uualaGvDPX+59tDZ1yG1qsNBUpHjZBuDCVRlwRlGtxeF6XgvR1hTi3IEacj/MY7oK09kkGsglxHTHMmoUBY60iOXMziOfEfDGI2LrH+EyQWPSVJT69bmzcA5EQeD6F8xVZdGjgI6ulijcg0TBGpVHzrisVk9ycQLEU08QzcILsCvPnugWGlJJ0aRGNamnmocFED/hdIXg11sdDI/aQF5Lc6YOqtzFz7aKvqyvODeD5qKNxgYXfT0La6+/YsGnM/m7/44Urp81W/CMAhwA1raXa/mG5psPNnXWDgxNfTLrBnTpQoq2Qh6j4z4a8tPwnErUrs4iXGjmoYqKJVCUUE4I0WTBVIWEG8GbVHqSdBZTFuNrQH0dYoJaI9wGhUmCO1Xfng3dKe/jOlh5LBcCMqYqlW+lFBo0RXw5PZIZB4PiO4Jew0A5pPzHZBieGDyfKZ0RKrqpW3kq7xzyZHLzRBF1ywWNRQjLhWV5aMoA4yMcT+4gWNQJLOhoZC1dSz45Vl702bFDU7Xjn8DZx8mTGzne887rsKiDli+6YPWdL9m4ji/q4Oho9uE4wovkXEy8HjIbIRNivl5rqKEpfiSxJVdBHYumSIFI6tv1Fjp1Yh8dtECsnsD8HB29hOvFDPUepE43SN2TUxiaYiKArFtgEll1Xf9WFMTYxwjtA3USoroAuNYpIiUJK4o0Go4nzH0SdMXMJRLWW6Q8ixPkhxxHRn0MHqqiuXOAu/n+O3fstcv951x7yqfvlC04APT2LIaXbX+mozX37sUdta/6kw/SjpZxFPNlEISRFCSKlanWIx2oi14mrLeqrYzrK3kdB9fL0NICN7NlDmq6TR23TvJ2HddpFJyQ9O0ngmV9qXudi4qcOksPAtV3Ty+EEM4fjwFNTGcyAjlSnNaE8ymoR+xwqiogHhUvS6rCqZyCLY6uRidH9UiiDkAoWMgwVhLFE5wQbLz4PLZo8dJ3n3XW8mcG9x0+HdA8dQsOACtWrkbOG6mtWnPerd0d1Q8v7aV4cvcYvn1/iMlyCM5t+L6DMBSFq7FZ1DmCArcVIUovQVM8vF49mWmOk/oswgjM+r/VpD/o2yPUxl81ua3u+RkasfwHA/k88TzeRxzMbCmzSv7TLX3U20e31tzMI68vXNY1cMF/mKaHxydIWnDLAbEsWKDozJfw9lcOYm3fIXC3GUfL3oc3XPjCW5/ZfbTW399/Ws7dabHgANDWsQJhsCdcsOLVu3bvbp28/Wc/LYyNTuOClSV0tVI4tg9KGRzbj/1J3XYm0mMjaqKVoNEUx1J1ckta7tTsQWJaWWoAPWmBE5KfpnrEzEY6U8dxOk8osqnJhAnFsK50jSimJ3dIBnYIZKmXnlUI4ZCKqRlUTol4Q+SEMgIZc4EqiCCERVU/appm0UOTxOVuhMlCZh3wqoMUAGKBUBuNNkGDxbCwheAlAzm8/Pw8ptz1k2cPXLLr8W0Hw3PPXnW6YHl6LHj0YVYOD/+K3J1tuPw917781SMb+hdj975OHB1tQNV3EMreMNUqcHTcQsCTJWmx9Y5VExWel9U6iMGbVk9pOpe8nlvr/ixIHeh1m5OaWHVCaCWpT3kK/+CzfYxhvWNv0yg0jtzOFM6NlOfQrHnaYlhzyMmDoL1GjUn24+APjcLvjInkqvbGEI4XAlxUyxcdhgVFhp4mF3sPrcCK/jeOvO7qi97T3zd5d7EhezohefosOAAQIlq3TU9N3HbNlS+yVyyin9qz42ftlWoNYUhhUQbXDXH/L13c+u9FVAMHYn5mfcpjocOaveNTlBOVOYiEhVZzbNOUMD1i3q24uwHmWWiKwc+RtOamtde1oeON4wJbKinQVBOlrhDt3bpFJ4h1cEj+LFKhxMXAIJtYGWqJrrJwM2cFerBHHq/2mlJjVE9OITFS+IGNjMfwZ380jcf3efjRw3lwh8OmBJ7N0djYiOX9lxxd3HfRf5uY8G9ralp0OuEI4DRbcDXyDUVwHnxz9cD6G7sXrT5KCIdjBchlKhg8FuK2+xqwe18OcOK22lGVDiGR5bZJnP6arMypC8cbtCTuqDuTNg5K6mhLbL1j9CYDP3UjxUifFC3nx3k5JRKkB27UPlzSj4iTG8qJrqyooE3csk+pL0ybNEiF8VPD/Ywa+SrKeoeMIuQWQmahUnWwbDHw1pdNoa9jEmGthpIvLtB1L+g/eunGDTfWarVvNjXNPr/JyY4zAnAAyOaK2PbUz27NZPM3dHe3jTTkxnDXzzk+/Pk23POrViCfBagHECe24FRQEzXtmjErFUFqFwSTrtRbbv21eEm03ZZ/ZrTgGgCTlrx+nJrXaSRWpX+Fug1xtJIYuS3xxJ3mvIRRcXLS6WQzUxajz09iWwzueHYsFlpRbndpMosrzwVuef8IXnvJIZTKZbR1LRxpaGi44e57f3JrU9PslfGnMs64BnBsz9dptVZ9w4NP7PzHj33pWGH34SJIxoqnORCRAAPcGdlixKYx0G3VNoXEciHR1glRUWBedwGY3RqIuZ763JyPkBKiUR+ifa7arrcwIXFbE72lCTXbnKjGuuq5/hi1UIn+Z8KpNrrcxTJp9EgT69Gxc+1z9Omu5fkkcUdqFTSz5JTZFjFbz1hyPpu4/bqYkcwioo+pPlcOZ2JC1EwmwO6hAHf9ct3kqL/2XSDed2752BtOKVJ5vHFaOXja+Kf7LNbcVLx997MDQV/P6LcnK3szlmVhtApUQxZ5fxYRPXRcGpegWZBWnCbBqtOUGNz16bJJcJtc3KQl6nm9bKjnrpyJcSKBT93EcxmtjD5DcXOpcRPFu8GjfjhMrlP1nIkLRrTBJLJ2Vs6RAtV7E1HBBGQBs8hZoWBq5k+ZGq1mBxLfRXwLP3QxXcoiHAvQ1rq08qarOt4+5Ze/59BxdsvHziz+jl93f4rjJ/d8H+sufBNvbe3e1pjhTy9ssl7FKiM2dXyUqzUEoQ1qUWQsAW5VhhaBnMblaGrdTLhS1EWfFhmGBYytMamjK2mWu34hWuautk/E4/VHor2Wsj1xd9CDSTPm0iQXzOBXyJGkXOpFLUvEcJKjLEi1LSU2ILZz0yeJXtO8cB5/vm2HCJiPQyMe9h1uhJ3tr7jZRX/S0tzzHzbCcOmaPz/T8DvzAAeAzfd/F1dc8Uq+Zahn24sHyPaNLyBXvfGy7c7RkQp27GtAxrWQtzgcqud8q1skN4AturbF4La023caP49BTtJBBH1bvA9IAuCzPp8JyHMEODkOwGcAdDJgBe25AnIM+lhG1EEe498EdQxibtzBjItH7abtL7RvUTebz9bw419x3Pj1NhQLA6XuzsVvO/uCzu/t3T3B+s56y3MBvTPnZCbHR977RrzjsiP8Xe/47Hcvf1Hh7Wetah8vZEVrvUaHI2tx2d5P77+ZIg8mwBuBIw3cKcBNA06aY6n/zs/nYeSQI5FbknAqoeWZCG0b5rqmnJi5J8kJ80l6VwmpoNQCG9Wai8C3Ua5SZAsLxw9XOt++8aU//+5dd07zVee86Tk7P8+JBVfjO9/5N3zw+htQoWxrsdB+4ODUyo2HD9VyHpuGQ9VJM5OoLKopKdSkJYKb81hhIeaiHLzZwB1bRzKLxZxnC05n2F53LFpOu659Ji25JOzGBawpS5FFlzm88Weq19VE9Eqx4tH/4ZyiUnMxVbJB7DY0tKwfLoddH1jSVf4/Cwd6ccN73vxcQm7+jNShI+NwHPv6H276+c0Pbv5p+yPbx3Bg3In6yNtUKCc2VSpJDGRTMqwHeGzRdcWj3mHUgRz9wDMAPI3qzIuKou5k0SQDsUoC+RqM759o+qqea0qMrq6kNfCNmvXKfS3VwYNys3UNEe1qho44GBruxQUXXnp08dINH2Vh8A0n0zIvOHvOKEpydHU0IuOSb/zR1Zfc+BfXX360qd3FaNlHNSBgkg/qqonecju2XPVTIVMN3JSaNEYpL0nwRvxzvk6GNkwreuKjPgGLqBY5ZuCGqSCP0sBpXXqsmSob112GLNbOORNflBIO2wrh2GVYHkW27aVHu3ovvbEWOvMGbuA5kAlnG/l8DpxP3Lr6rHODN706/AeEDzfvPTyMiWmCjEdkm22Td6c5hwbf1sGdeA9gev6Rb6Q5STMOPUuVRJtUluoZGXVA1+5C0aaU/x0Fe6J1eQFHhROCpsiJsMCJOM9RJDSa4Ccxtwpk20LITmdEVABZnMGyaxiftpHJLseK/o2jC+l5Hzk8wr7du+Dky81Ox5hXgAMAIUVMlYLbrnnxi0aqY4eXBVb3pz/x5S2OnckgI6dZ0SLn0aOuhZOZwE3N1xFZ7LlhMvrXXNeZZwa1zMgGP82IVzTEuCBnA7nUraMvFW0j0Xcnct4UqmrZ9HALFceYnEBfpcQwyAxCEPBQZAzmMmWM8Jf7hbD5huWdL9nVaufuJcTBfI/nw10ZAMD9xwG7xX14y7N/etf9e77y1JNPkUq5Qss1PWdZgFZZdksDsuC0JHZKKepUFGBut/5ICoPGwSPVhtQ5sJbarvHsE+bgmjNNZdQ2vlCT0VkVwRSP6rhIfTAfESrV80QwLPZtYs4topk8ilJacpsto5hR/jgnmC7ZsF2PrVy1go+x/nf/57YLvtXXNli7ZuPpS3k9lTHvFlwN4qzDQ48+Xcvlem47f4A8UHSr1z2x7eDfbt95EMWcDQV0J3KmUhQTnYMnnELdAgLaHZwjPecjqhGTKoFSHyBmcCIQVk1MoXDynDk6/hnuCiSxkiy/A2b+33FVDdEwTqIHIttoywbwQJRBKI4tanUiDhaEctgWQ8goylUKzymjtb0bNb7kf7j51d9d3rRoX2/XrlqhZeDMA2aOY96czLRx8fo1OHegrzw6dmTHX7zp7JuXLVv6yYvOXxUuXeCivb2K6UBwPz1dNlZGiAFuixKxWFJqpMTUzQlMPq3dJZLZTno2ntrO53A8fA57kbQNqZQsqfroue48pjGaNKjXaqqMwTAkchHPg1A4jWEY6+JR4hYjortwKJxTi3C4ThX7jlRw4FgDMsWzwgULl3xyz7EX3nzo8MEdmcLy8vMJ3MDzyILr48/fdi2OfO674ac+9tZPHDg4Yh94dvOHR4Z/4L3vCwBCDtcGHKngR5XhWr6KLYFNaawNi2HWICqkpmSiRtMwKAsg+sOTyClTFteYr0Sz+scrcKgbZIZVg2tzE+yILXryvUwdXl3hQ7yXuiDUhPmEiHJZrkw5gDCkYhIyTuA6PmphiDt+3o6rLrukuvKci2/J5Vs/ceTZf0HHkrfOD1hO7LQ+v8b4+BSKxTJ4aP/PbTt3bHjf395Hm2h5w/TUiO25DipVoBoIfuraBK4DeDZg2wS2RSLOrEaUmKTlQDMuil5FK5AYifqFYfBvlQuj8WtL070NDTzS4kl0B4n3Sejc0eeaOrilsiipxr1l+oLoYpdOvxgjEN22SXysUtLTLziluzsWh2NzeA6D54ZwHQZKgGrNwnSFgiBAR3tD0Nle+0Upcx3r6uz/xcQUu7FngYNcrmG+oTLjeF5acDUaG6MTd+O//Otd+LNXn1eYnJz6+uDgvtf55cN06OgEtg9ZcCmFbQk+aVkEji0WShVXFkCOyrsIQBgHFLA5oglyotksCJfUlMhJ4wFAzf0xcwbgXIz1TCP5eXWWOeLNcaBGOZ3G/2cx4hkHQqV5q8ZmWrEx5EUFJaY44gLMeiEo9bFzyMZ0pQWrlnWyYtviO7iXf6cTDE8u6GqcV2zMdTyvAa6Pt77p1di+Y/ek63rvPXLkyM7y2GMD2w8MveaRb+1HFh7ynix1swk8l8J1aFREGzIe8UtIMBMiS7qYAoGw7GoYwSRN/425euxZ6sXAaaA/KQdUI+BGRDLpYNOYoih2xGVf+RCCO4ehPD5FsZhYD5lSplRTWAaXiWPOuDXUwjFMkrUInN47Vw+s29q9oPvzlXJlsrWjd77hMOfxewNwAFi1cikAHOP86b8GrugNHtmLa67Y85otjz6NcnUcxZyDjEeRy1hwXVHwGoQcNZ+hFjBQaaUAefuWPdPDkAsnS/4fdduPnFjKRR60BegwTgZUZh1JTj4j6Hnd23Q+HllvqoXWVW6I3FnchSiCQBxnzRcAVo4p54AfEFR9IAjFZ/queI/nBACvwXLyWLRoHa7s6b9zz/j5H9g9Nr53+arO+YbACY/nNQefbTy9ZxSO4yzftn3X2X558v2/fXrbxv2DO+HSCloaPWQ84WjWahzDYwGmyiEoJXAdAtsWc42XKqF8jYnbtxH5jHNOLMWBLRVdVU6sUG4sS+jeVoKDn4gOXsfBqfq/Qu+3LA7b4rAtycstLlOJuWbdY12cMYKJaQdHxyxMl8XP7NiA54rPm5wmODYWwg8YKCXIuBT5bIjehTmsXdOHBYuXbfZy2c8XW5b9BvB3EtI13z/5SY3fKwuujzV9zQCwk3O+E8BWSvzuSzec9bVDB3YtHzm81XKtGlyHYLoW4OlBhkoZaCtacGwL+ayFfBYYngjw6101gDnwHA5HSooi+imtHY0jn4TILnuAWaOJhKU4GbMRVdCnj1gijIMwKvASUxcRkHFsBtcJ0Vwcw+4DBRwbzSCfpchlKbIe0NboI5upYNteglKJwrI4ig0e1q5dF75g7YqdOa/y5+2LNh4EsOPEpsl4/o3fW4CrIX+AHSMjoztYGF7Z1pJd2LRh7R2DOx8ojg4fzjuVYzgy7SAsZdHeCHgORTFP0N0WYO3ySQxNVrDpkRb0thAQVxZ0SZ2NEIBKfY0QUbqlzxUov0ECzycHCD7bBkMWFBbetphwrCVFUS6BbTFkXB8L28dx768YfvabLFqyNXS22LBtB5wDzYUanOwEDk16KHptWNS7cPq1V1864dns2u5FPUMWtfb+vgNbjd97gKvR0tIMzvne1rbWfTwcPysML7uwb0X49Z2D2xsWdu9pGjlwBI5N4blAQzZAa7GGBR1ltBdrmK4y+IxGCVzK6WRcWHSlEVs0zjPRq1ugHvVwZEp+SFwSlngpEQmt0+VVbglRWXtC0nPsUCZJiYCNyqe3LIZ8toKRSQuDxyjQxJH1AmQ8Cj9voeK76OronrzumrUjfT1r7VyGvKOvr++XHa2FccY5s05hwvnn2/iDATgQWXM2fPTQaK5h4X0Yv3vJWWvf8La/6Zn60Kb7768dO7qfFDK11c1NlUwhP458tgTbEjbYsYCsC3guwUQJGCsRUCKCStzhEZD0/JRkFZD4EtBqH09sJBtRGZPQs/hCsCiHa4fIeAEcOwQlBGOTHiZLNlhIkPUCME4RBAHGSiGKNrC4swGul6sUGgvbmrp6nP6zz7ntLa955/+646v/7PV0FyrV2hQj5MxN3zBf4w8K4Gq0tncBAJucDkEp/YbnVr9p2xbOX7fGamzMfyVjT6/M0t9ezMJpa6LKUMhacEgFDVkbHS0OihUfx4Z8HB110ZQRFMCViXGx8yeDONr/1WlEUjXhKReCeNG00rJmN9LvQwapURPYUqS3KIfrhMhnaijkyjgyHmLwSDsmphy0NwGuA5QqWbQ3VdDZmUN/X2942QVLHupoy++oVUvvJiQMLTuHLXd9ize39pbm+/c6k+MPEuBqFPJRRZ666weV8tg7Cck2Uzbw97/6NXefOXQ0XL+289zuQnieg3Esbq/igoFRbHpiDJ+5rRvVlhwyNkGeIYpI2jaBY4nbOON6gEhGTylJoSEcXAb+k5FHUYAAI3KqUnNZGE/1YMmJ5ynl8NwATYVptLcN4583ZfCjzT7WLy8ju6aI3oYO1FD61cZ1g78eCZdYV7/ktbVVvW0fmyxVR9vbmub7Z3lOxx+GJ3EK4467fgoAG8PAf1nWqV7bWiit6mw5iM/930exaw/H4ISH8WMZLG1j6Ghy0FhwkM2IQFIYAqVygJBx2JYMMLkUtgR/GM2qKi2wRWQagQZiZaUB2BbguUDGFRw7DAmmygQBAzwHyGU4Ctkamgsl9HRNYKw8ibJFMHggi617L8eaxUUs6ylsX7Ioc0fGs+7nHJsXLXvxfJ/ieR1/0BZ8LuPaV78YADaPT4xuBsiDFmrLDg8fYc8cPcCuvy7TNzS+5KMPPDyM5Z0W/NIx+NUJWMRCQ5ajIQds3+tjZIKgqYHCdQhcmwhnLuDwywK5Yr4cMfm/RQXf101LtcZR8zk8V9ALx+JoLvg4Mg48e5DAtTgKeYpKBcjlimjp7EGxdQQIuvDkkyM3X9q/d8/FF19EC/lOmsvauwDc19zcPN+n9nkx/ssDXI3GYjMA3KfWtz5zGNms19S4Z+gXU5O/RWej7fd0D3zQtnAFAOS8EOH0gzg6XcbQcANsB/A8B/kcsKh9Gtv21nB4xEJr0YZlcUxOh8i4DhoyFlyHY2JaZD22NoWYmK7imX0UK3vyyGYyyOUYOloYdo9UMFxtwxuvWo9CgwOLUnguNjXlJ//Byzc7qxcMYGBdz2agMkZIz3yfwufl+P8An2EMrOgEgDEA3weAI0cOAcA2xlgnY5zZ1Mfw4KPI5gio5cJxOGo+8y9Y/8KbupoPX82yJT/XlMfiDhudLWXsPRSiXM1j+SKKclDDswcJuppc9HT58FpL8DMNzsDyxnsmjm29yXFsx3NthACIk8eaNWvQkHcBEGpR6zCAPZ1dv39h8/kY/+U5+Okc23/7CADSmbN3NW7ZXuIHD+fR02ljcdc0dg2FGJsoYFUvwWipgmf2E/S2ZdDbHWDP0RJ27S+SC87qHmecH37JZRfN96H8wYz/BzHsG95vE9M8AAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIxOjAzOjQ2KzAwOjAwc7W4cgAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMTowMzo0NiswMDowMALoAM4AAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71248999
{'hecke_orbit_code': 207165582892601973, 'n': 1, 'trace_an': 4}
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id: 71249000
{'hecke_orbit_code': 207165582892601973, 'n': 2, 'trace_an': 0}
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id: 71249001
{'hecke_orbit_code': 207165582892601973, 'n': 3, 'trace_an': 0}
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id: 71249002
{'hecke_orbit_code': 207165582892601973, 'n': 4, 'trace_an': 4}
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id: 71249003
{'hecke_orbit_code': 207165582892601973, 'n': 5, 'trace_an': 0}
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id: 71249004
{'hecke_orbit_code': 207165582892601973, 'n': 6, 'trace_an': 0}
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id: 71249005
{'hecke_orbit_code': 207165582892601973, 'n': 7, 'trace_an': -4}
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id: 71249006
{'hecke_orbit_code': 207165582892601973, 'n': 8, 'trace_an': 0}
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id: 71249007
{'hecke_orbit_code': 207165582892601973, 'n': 9, 'trace_an': 0}
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id: 71249008
{'hecke_orbit_code': 207165582892601973, 'n': 10, 'trace_an': 0}
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id: 71249009
{'hecke_orbit_code': 207165582892601973, 'n': 11, 'trace_an': 0}
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id: 71249010
{'hecke_orbit_code': 207165582892601973, 'n': 12, 'trace_an': 0}
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id: 71249011
{'hecke_orbit_code': 207165582892601973, 'n': 13, 'trace_an': 4}
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id: 71249012
{'hecke_orbit_code': 207165582892601973, 'n': 14, 'trace_an': 0}
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id: 71249013
{'hecke_orbit_code': 207165582892601973, 'n': 15, 'trace_an': 0}
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id: 71249014
{'hecke_orbit_code': 207165582892601973, 'n': 16, 'trace_an': 0}
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id: 71249015
{'hecke_orbit_code': 207165582892601973, 'n': 17, 'trace_an': 0}
-
id: 71249016
{'hecke_orbit_code': 207165582892601973, 'n': 18, 'trace_an': 0}
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