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{'Nk2': 30912, 'analytic_conductor': 61.70839068204548, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 1], [23, -1]], 'atkin_lehner_string': '--+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7728, 1, [4831, 5797, 5153, 6625, 6721], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 24197, 'field_disc_factorization': [[24197, 1]], 'field_poly': [2, -1, -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': 0, 'hecke_cutters': [[5, [8, 14, -1, -5, 1]], [11, [-68, 65, -9, -5, 1]], [13, [-236, 152, -11, -7, 1]], [17, [-104, 10, 37, -12, 1]]], 'hecke_orbit': 56, 'hecke_orbit_code': 247697979538939440, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7728.2.a.cd', 'level': 7728, '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': [2, 3, 7, 23], 'level_radical': 966, 'minimal_twist': '483.2.a.i', 'nf_label': '4.4.24197.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+(1-\\beta _{3})q^{5}-q^{7}+q^{9}+(1+\\beta _{2}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7728.2.a', 'trace_display': [0, 4, 5, -4], 'trace_hash': 1311266141390203250, 'trace_moments': 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mf_newspaces • Show schema
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{'ALdims': [7, 10, 10, 7, 10, 7, 7, 10, 8, 8, 8, 8, 8, 8, 8, 8], 'Nk2': 30912, 'analytic_conductor': 61.70839068204548, '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': [7728, 1, [4831, 5797, 5153, 6625, 6721], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 132, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 33562160, 'hecke_orbit_dims': [1, 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, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 6, 6], 'label': '7728.2.a', 'level': 7728, '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': [2, 3, 7, 23], 'level_radical': 966, 'mf_dim': 1560, 'mf_new_dim': 132, 'num_forms': 60, 'plus_dim': 60, 'prim_orbit_index': 1, 'relative_dim': 132, 'sturm_bound': 3072, 'trace_bound': 13, 'trace_display': [0, 0, -8, 0], 'traces': [132, 0, 0, 0, -8, 0, 0, 0, 132, 0, 0, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -8, 0, -16, 0, 8, 0, -32, 0, -8, 0, 0, 0, 132, 0, 0, 0, -8, 0, -32, 0, 0, 0, 0, 0, -8, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 40, 0, -32, 0, 0, 0, 0, 0, 132, 0, 0, 0, -16, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -40, 0, -32, 0, 0, 0, 0, 0, -40, 0, 0, 0, 40, 0, 0, 0, -8, 0, 0, 0, 132, 0, 24, 0, -48, 0, 8, 0, 0, 0, -80, 0, 0, 0, 0, 0, 8, 0, 16, 0, 0, 0, -80, 0, 48, 0, 0, 0, -40, 0, -56, 0, 8, 0, -112, 0, 56, 0, 48, 0, 0, 0, -56, 0, 64, 0, -64, 0, 140, 0, 0, 0, -8, 0, 0, 0, 0, 0, 48, 0, 24, 0, -32, 0, 16, 0, -64, 0, 0, 0, -80, 0, -24, 0, 0, 0, -8, 0, 48, 0, 0, 0, 0, 0, 48, 0, 0, 0, -32, 0, 72, 0, 0, 0, 32, 0, 0, 0, 48, 0, -48, 0, 144, 0, 140, 0, 112, 0, -8, 0, -24, 0, -24, 0, 16, 0, 64, 0, 0, 0, -24, 0, 0, 0, -8, 0, 96, 0, 0, 0, -112, 0, 0, 0, 96, 0, 72, 0, 48, 0, -8, 0, 144, 0, 80, 0, 0, 0, -40, 0, -80, 0, 0, 0, 240, 0, 56, 0, 0, 0, 40, 0, 96, 0, 0, 0, 0, 0, 140, 0, 0, 0, -8, 0, -96, 0, 0, 0, 0, 0, 0, 0, -40, 0, 48, 0, -32, 0, 0, 0, 144, 0, -56, 0, 0, 0, -8, 0, 64, 0, -32, 0, 16, 0, 8, 0, 0, 0, -32, 0, 24, 0, -8, 0, 144, 0, 72, 0, -80, 0, -64, 0, 0, 0, 0, 0, 32, 0, -72, 0, -16, 0, -24, 0, 112, 0, 0, 0, 144, 0, 68, 0, 64, 0, -80, 0, 32, 0, 8, 0, 0, 0, -40, 0, -48, 0, 112, 0, 48, 0, 32, 0, -80, 0, 0, 0, -32, 0, -104, 0, 0, 0, -32, 0, 144, 0, -40, 0, -32, 0, -24, 0, 0, 0, -8, 0, 128, 0, 8, 0, 0, 0, 0, 0, -80, 0, 0, 0, -16, 0, -136, 0, 0, 0, 184, 0, -24, 0, -32, 0, 32, 0, -24, 0, -64, 0, 0, 0, 64, 0, 132, 0, 48, 0, 16, 0, -32, 0, 8, 0, -272, 0, -32, 0, 96, 0, -24, 0, 0, 0, -104, 0, -72, 0, 0, 0, 128, 0, -32, 0, 0, 0, -32, 0, 128, 0, -8, 0, -272, 0, 112, 0, 12, 0, -112, 0, -32, 0, 0, 0, -64, 0, -144, 0, -32, 0, 0, 0, -160, 0, -32, 0, 128, 0, 16, 0, 0, 0, -8, 0, 0, 0, 0, 0, 80, 0, 224, 0, -48, 0, 8, 0, -240, 0, 0, 0, 0, 0, 132, 0, 0, 0, 16, 0, 144, 0, -32, 0, 0, 0, -136, 0, 32, 0, 80, 0, 160, 0, -8, 0, -80, 0, 0, 0, -144, 0, 120, 0, -144, 0, 0, 0, 224, 0, -240, 0, 0, 0, -56, 0, 144, 0, -64, 0, 0, 0, -24, 0, 0, 0, -32, 0, 56, 0, 48, 0, -96, 0, 64, 0, 96, 0, -56, 0, -64, 0, 32, 0, 112, 0, 8, 0, 0, 0, 120, 0, -96, 0, 0, 0, 48, 0, 120, 0, -32, 0, -24, 0, -80, 0, 0, 0, 48, 0, 244, 0, -8, 0, 272, 0, -64, 0, 128, 0, -112, 0, -8, 0, 0, 0, -88, 0, 240, 0, -96, 0, 64, 0, 64, 0, 0, 0, 88, 0, 176, 0, 40, 0, 80, 0, -104, 0, -48, 0, -64, 0, 48, 0, -64, 0, -64, 0, 72, 0, -32, 0, 56, 0, -48, 0, 0, 0, -240, 0, 48, 0, 0, 0, 16, 0, 240, 0, 0, 0, 144, 0, 80, 0, 144, 0, -200, 0, 32, 0, 128, 0, 0, 0, -232, 0, 0, 0, -32, 0, -272, 0, -32, 0, 80, 0, -32, 0, -64, 0, 72, 0, -48, 0, 132, 0, 432, 0, 24, 0, 0, 0, -96, 0, 32, 0, -64, 0, 224, 0, 112, 0, 0, 0, 0, 0, 304, 0, -128, 0, 384, 0, -168, 0, 0, 0, -24, 0, 48, 0, -16, 0, 192, 0, -152, 0, 168, 0, 56, 0, 240, 0, 0, 0, 16, 0, -160, 0, 0, 0, 16, 0, 96, 0, -96, 0, 0, 0, 16, 0, 144, 0, -8, 0, 176, 0, 40, 0, 400, 0, 0, 0, 64, 0, -120, 0, 64, 0, -32, 0, 176, 0, 32, 0, 0, 0, -104, 0, -120, 0, -96, 0, -112, 0, 88, 0, 96, 0, 8, 0, 208, 0, 0, 0, 16, 0, -20, 0, -256, 0, -216, 0, 0, 0, 96, 0, 0, 0, -136, 0, 0, 0, -56, 0, 144, 0, -32, 0, 80, 0, -80, 0, 0, 0, 96, 0, 176, 0, 8, 0, -144, 0, -40, 0, 16, 0, 40, 0, 368, 0, 0, 0, 128, 0, -32, 0, 0, 0, 128, 0, 192, 0, 0, 0, 128, 0, -176, 0, -32, 0, -16, 0, -64, 0, -40, 0, 160, 0, 0, 0, 144, 0, 0, 0, -64, 0, -32, 0, -48, 0, -120, 0, -32, 0, -56, 0, 0, 0, 64, 0, 80, 0, 40, 0, 0, 0, -104, 0, 0, 0, 0, 0, 224, 0, 112, 0, -16, 0, -24, 0, 96, 0, 0, 0, 96, 0, 36, 0, 0, 0, 48, 0, -128, 0, -96, 0, -96, 0, 64, 0, -144, 0, -88, 0, -144, 0, -40, 0, -16, 0, 80, 0, 0, 0, 0, 0, -264, 0, -96, 0, 112, 0, -72, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49075668
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939440, 'source_is_minimal': False, 'source_label': '7728.2.a.cd.1.4', 'source_level': 7728, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 247697979538939440, 'target_is_minimal': False, 'target_label': '7728.2.a.cd.1.4', 'target_level': 7728, 'twist_class_label': '483.2.a.i.1.2', 'twist_class_level': 483, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49075669
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939440, 'source_is_minimal': False, 'source_label': '7728.2.a.cd.1.4', 'source_level': 7728, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797052518883, 'target_is_minimal': True, 'target_label': '483.2.a.i.1.2', 'target_level': 483, 'twist_class_label': '483.2.a.i.1.2', 'twist_class_level': 483, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49075670
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939440, 'source_is_minimal': False, 'source_label': '7728.2.a.cd.1.4', 'source_level': 7728, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67553994444113321, 'target_is_minimal': False, 'target_label': '1449.2.a.p.1.3', 'target_level': 1449, 'twist_class_label': '483.2.a.i.1.2', 'twist_class_level': 483, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 49075671
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939440, 'source_is_minimal': False, 'source_label': '7728.2.a.cd.1.4', 'source_level': 7728, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 99079191835708725, 'target_is_minimal': False, 'target_label': '3381.2.a.w.1.2', 'target_level': 3381, 'twist_class_label': '483.2.a.i.1.2', 'twist_class_level': 483, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4555600
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 247697979538939440, 'p': 2}
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id: 4555601
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 247697979538939440, 'p': 3}
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id: 4555602
{'charpoly_factorization': [[[8, 14, -1, -5, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 5}
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id: 4555603
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 247697979538939440, 'p': 7}
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id: 4555604
{'charpoly_factorization': [[[-68, 65, -9, -5, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 11}
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id: 4555605
{'charpoly_factorization': [[[-236, 152, -11, -7, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 13}
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id: 4555606
{'charpoly_factorization': [[[-104, 10, 37, -12, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 17}
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id: 4555607
{'charpoly_factorization': [[[52, -51, -37, 3, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 19}
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id: 4555608
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 247697979538939440, 'p': 23}
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id: 4555609
{'charpoly_factorization': [[[-436, 264, -31, -6, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 29}
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id: 4555610
{'charpoly_factorization': [[[-16, -46, -11, 4, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 31}
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id: 4555611
{'charpoly_factorization': [[[-1868, 280, 91, -20, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 37}
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id: 4555612
{'charpoly_factorization': [[[-34, 71, -27, -3, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 41}
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id: 4555613
{'charpoly_factorization': [[[272, -184, -39, 9, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 43}
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id: 4555614
{'charpoly_factorization': [[[-32, -28, 6, 7, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 47}
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id: 4555615
{'charpoly_factorization': [[[-202, -249, -68, 6, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 53}
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id: 4555616
{'charpoly_factorization': [[[17564, 263, -278, -2, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 59}
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id: 4555617
{'charpoly_factorization': [[[-1286, -191, 172, -24, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 61}
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id: 4555618
{'charpoly_factorization': [[[4208, 24, -141, 1, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 67}
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id: 4555619
{'charpoly_factorization': [[[64, -128, 79, -17, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 71}
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id: 4555620
{'charpoly_factorization': [[[-6656, 2270, -95, -16, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 73}
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id: 4555621
{'charpoly_factorization': [[[128, 214, -17, -10, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 79}
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id: 4555622
{'charpoly_factorization': [[[-7256, -2450, -195, 8, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 83}
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id: 4555623
{'charpoly_factorization': [[[-92, 380, -113, 3, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 89}
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id: 4555624
{'charpoly_factorization': [[[4, -356, -87, 2, 1], 1]], 'hecke_orbit_code': 247697979538939440, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 56, 'label': '7728.2.a.cd', 'level': 7728, 'portrait': 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xSMYpflgWDjhGaxozl5QVFzPTZOw9bZkA0zI9bPBGycCdi6wbB9o+KybS511eTYyTZfe9bj8YMxT5+ISFSP735Zh7feYqirGQ6emOTYWYczcwnnU3AfXjDccMU8//5dy2xbN8HZuUkuLNdY7LgsdSTLvYTuIGEYCA6fWODY2ZXLnj6y8PL9pxZ3HjqzcPvNr317eP/tH/lWQ+Kb+vi2ZvDFpQ5aG4Tg1x596sgt/+6/fUq+/vojt/yTN59xFjuzrPSaLHVqLHY8FjsOix3BUidhqROxuJJwfgWOLApm163wH35okRfvaXDqwjRn55qcXXC4sGg4vxBzej5hrhczOT3ipVf1ecml4Mk6vvK5sFTj3ILD+SXBIIA41tQ8TbOWMDURo4ET52O6fdixwaVZDzBGgPDoDzXbNwYsrjhgrBRZ6UMQg8Gw1AnZst6lN1QIZRA6oF1z2b5pxMpAcOKsQ6IdZtqSVk3guxDHgkEgOb8kObdouLAc4/sjcGNuurzPLVcIZtt1FpfbnLrgc3YBLizEXFiKObMERxYN11++wC//0DIbJ9ucPD/N+cU688seCx3J0krCcjdiqZuw3NMs9gTn+oKF5SG/+U+C+HtePvlAY8Pf1/WJvQ8Ywy8oJfD8b9/s6Lctg3/gTz/GS2+6jn/2z//lr/zlX9/1zz/4V1++eN+JlZ37Tw/ky69aYffmhKSkq42RYCQgAYEQBkcYPAlnF+s8fFhy1e4lLt02olED15F4rsLzHJp1ScOVDPouB47XuPNxjxNzAd044sCpgA0zS7zppctcdXGP6y/tcHwhZmEgaPgjjp41dLpNrrxIsjJK2Hdc0Wo4PHcCLtlsGIUJo8TDcSKmWrD/lI9yElwZ47gwDCQvvnTAcCC56uKE7jDhxNkWuzYqmo2QlcCwfnLAcr/LR+6CJ48lPH1sxI7Ni1y9t8vUdMgbb+rxva8w7N7YIokmOXZmgiOnXU6d15yeizg9l3BkTnByJeJFe+b5Dz/UY8PkJKfOT3NhscH8isdiR7LcSej0Ilb6CSt9w3JfcGGgWOzGXL93np9+07z0JDvPnzu1KwqDG5uTO+q1+vSXn3jok/zBe//yWw2ZNT++LRn8/X/yMbZt26QOHjr6/548deHfPvHcCTW/HLIcKE734bJtF/itn57jmt0NLixOsdhpsNSpsdRxWeo6LPdguZOw3I1Z6sUsdODUssCpj7j5iiXe+YqQXeubrPTbzC3VmV/yWOgIljpWIiz3NN2hphsYBqOYmXbE9g0aEPiu4fSci5A+O9Yrdm02bF4/4MJywFOHWlx3iaFRX+bZw9O0miFh6DIzpRmO4LLtIz501yR7t8UEgWHdhCRKhrRqPs8dH1F3m1yzJ+bpoyEXFj22zPjs2gTbN4YoFXF6ATzXIIRhx4aYqZakN/TpD1y6A5elrmJpBRY7mqVOwkIn4XwHFkcJ27f0eeetC9x8qUPNbXNuoc3Cco2FFYelrmC5o1npRSz3LLgX+3C+p7iwEvPivRf49Z9a5OLNLRZWJljp+gyjFm59d9JobfiV6dltv9xdmUuufcn3fKuhs+rj2wrgBw8coFar1c+cPb39gYeefcfhY2f/45Fjp9FGMQihM7SMcrYbc91FF/jNn17k6ovqzC1PsbjSYLlbY6nrstx1WO5Cp6dZ6cUs92KWuoYLHcHZvgHR560v6/DGF2su2lQjDBssd2qs9D06PcVyX9AbCEaBIYwNSQJKGnwX6r5hsm1YPx3huCOOnAt55rCPjpu8/sYQx13hsX0T7NwEX3g45mVX+sx1htQcRZxETE9BHLk4bsziYoOXXtvlCw+22LUJHj0U4NLgdS/WxGLIM0cSjp2u4UiPDVMOU01B3Rd4nkAJiDWEkWEUQm9gWOlregPNykCz2DcMk4QdWwe88SUd3npLCLrF4soEc0t1q7e7DssdWOkldPoxKym4lwZwrquY7yZcv+cC7/npOS7bUWd+aYqVXoNu36M3dBgFhtbEFtz6pn83ue7yv9qyZcvJIBgNL75k77caSvnHtw3Az546xPoNs96BA4d/ZP/+Q793/0NPiPnFvgwjGIWawcjQG8HKSDA3UJzrRbz44jne/ROLXHtxjYWVSRZXmix3fVZ6Hss9h5WeoNMzdPoJK72YTl+z3DfM9QTnOpqpyQGvub7HTZfG7NigaNddur0avisBRRhLtBZoA4MRIDRTrRGHzhi0Cbnj0SbBoM7FWzxuvmpApFe49/FJrrnE5dD5Pp3lNi+5asCXH/PZMG3Yd8Lw/7yly77jPhumJXc+rrj5MsXSoMvRU9Ncsyfk3meGxEGDmy732L1txDDu86XHFCSCI6cd2g0HR8BgKNFGkGhDFANS43iaTt/QbEVs2xRwy2UDXnNdzEyzxoWlCRZX6ix37bVZ7go6fej0Yjr9mE4/oTMwLA0k53uChV7MjXvn+ZWfmOfqXTXmlydY6Tfo9n26A5fByGEYSIYjQRDX9dYdV5rtO3f/zI5du/94aXEhvPLybw+Qf1sAPEkiGUeDNx1+9jMXzy2K9zz40GPuSk8wGGkGo4ThSNsETaDpDQWdoWBuKDnbibnpsjl+7SfmuW63x0p3gvnlFp1+jZWex0rfodNTdAbQ6xu6g5huP6E/1HQGhvm+YL4PURJw9SVDNk4n9AeGN7wkYOdGTZxIHGkII7jnqRon52psmop59kgNdINLtyqu3avxawMeOzRgfqHJFTubtCeXefBplxsuqbE4WGF5uc3GjYaH9yl+8JV9HtnnsHW9y0K/w/LSNNdeNuDBZxOm65NccXGfuU6Hh5+fpO40uX6vYc/2Ecg+Tx0TrJ+OuDAfce9TLqNIISUk2rBzU8hrXhLS6ys2T2muvQTCsMFSp8FSx2el79IdKDp9SbcP3UFCt5/QGyR0B5qVgWFpKDnTFXSGATfvmeeXf3yZ6y+xi6PTq9Md+PQGLr2hw2Ck6I8k/aGg20tY7IRc9aLro0Hg/Osf/XtvPtxu1T/re67+VmPrW57JHI0GBKPhD5089vhvnTtzaPrs+Q7NukJriRASIQRSxAipQQgEVoNKaZDS4ZGDG/iF9zu85eYlvu+VS+zaEnJ+sY3v1an7Hg3fpVl36NUlraHLRNNhMEroDxM2BHbh9EY+S/M1Tp8yhLHmzPkY3zeAwFMGRwoGQ4XAJR44vGinYPdmw/YtA4KkxxcfUew/PMVrr/O59rJlPvhFgyca7Nwy4OkHFVsmFevaA2qqThi5zPWgWXPYukHw5P6Qa/fUecU1C/zJ54Z4botX32hw/QFfeTjkCw81ef5YnYs2N9i5KWF2KmTXuogrdyYopXGUAQwN32d20ieMXHoDj2cPufRHDoNhBkTojwz9gf3be8OE/tDQHRpWhjA/UFxYNjQmOvzs6+f5uzcHXH1Rk3MLbTr9Gr0c3KoC7sHIMAzsLnL3vY+4zfbMb93/wCNLt73sxf9s0B/8SaPZ+D8X4EncA8yPnzrxwK8def7u6UGvixIuNc8QJwZtBKDsNiMSpAApbCeNkgYlEzwpefrQLE8cbHLo7BxvuaXPLZePmGy1Weo0aHZrtIce/YFDL73Zw5HDILAachRqwsgQRfZ3xokhjD2MBqkEriOoeYLJlmCqBRvXabZuGLBuqsPtj8F9T7hIPcFrr3N50aU97n8+Ihy1uflFgs5wyNxik5v2aNZNDqg7PqNYMd+NUFrwoj0OjVbA4wdqvPzaCV5ydY/HDygwE1x3ucePffcSX34y5M5Hmuw7WWP7rGLjdJ2pVoOJFtR9cB2DkqAN7DsmSBJBFAvCGIII+zcGCcNAMwq03RUDTX8I3QDm+5K5HgR6xKuuWeJNt3T4gVdr4rjN+YUm3X6N3tCjP3TpDxX9oWIwEvQDwXBkGIw0wyAhig1aG86dO89ffPSL051B8p/+7htf7qx0Bu+fnPjWgfxbBvBBf4UwEj+2cObuXzt//I71rhhQq3kQGmqJvVi2jkoghEJIgZKk4AalDI4yuEpTdwULgzofvmsrX3miy8uuXOFdr1rhyl19ZiYbLK406A19BkM3Bbayj1AQRJIoFsSx3ert77RBpeNAzYNGXTPditiyfkBMn0NnIj5yb42jp5pM+nVuuNzhpqu6PHywwx1fa3PjJTW2bxrwobsESvi0WxEr/QBtQAmYbQ/o9jx0XOdNL5vjw19osPtCjTfeOCCMFrn3mRmipMaLL1/PG2/ocsm2Dl95fMDTpxo8dcxj67Rkui1o+ALPtYtQChDCoA1obYjidLFGhiCyC3kUwjCE3kiwHAiWeiCcEdfsXeFdr1nhZZcnzLTrLHcbdHp1egOf/sgWqmU7wSCQDEcwyBbOKGEUaoLQECVghOLUuQ5/+pE718eJ+bW3vemlZmFx+Y/WzUz9nwHw4dn/zKmFS1g687kfHg5H71mee3ZdHC3j+y6IBAMYg31GIgRIIZBCoqSDlAlKiXR71rjK4DuGuiNYHikWO1N89J4mDz3b5+arV3jXq1e4ZneHmaROHPsMRjX6Q5dh4BBGiiiWxIkk0QJtrASSwuB7mkYtxvdCPDfgzGLA5x6VHD7tcez0FEr77N7kcdkuxXWXdlH+PM8cabFlssEVF8HG2WWWum2u3CKJteH2R3yCgWSyGfO6F4/47L0RJ8+32Huxy7mVEc8dddm2YYqrd81z/9M9HnxOEIQel+6a5tJtPpdu7XHk3BKHz8Aj+xscOtqk4Qh8R9L0DTUXpLRBlTF2scYJhDGEiWXc7kjQjSDUMdqMuP6SLu96TZeXXZmwadpnNJpgsVOj1/fpjzwGQ4f+yEqSYSAYjiTDwPaNjoKEUWh3hmGgGYV2IQURxFpxYX6FD3/irvUnTp1/T73RjP/4Tz/1wduf6fChd/+9v70A/xfv/iNqmz5Cs8cPyOjkb8edC5OeVDg1RRTHFGkaEAILNimRUqagViglcJTGUQmuI/AcjecafNfQ8BIma4Je4LLcneLj97W566kRG6YGvOPWDpduGzEa9rlil2HbRkUQuSRJkea3v0/jOgknLhiOnResDDWfvr/BmYUpTOgyVVNsnnHYsdHhoi1wxe4uWi7w3s82WVqa4MZLHa7Y3eErTwlE7LJ+StJsxAwiD5kmo5Tj0RkJLiwJLjcNbr2uxwOP19m8zuPGK6b50e9e4I+/0OORA036I5fFlRa7NtfZu2nAi/f0+J6X9zi7tMSn7/dZHPicOOdy5oyHqwRSSgQCbQyJhkgbklgzNRNx1eUDgiDi0m0Bb7s1YP2EYrrlE0U1zs3XGAw9BoHd5YY5sKUFdyAYBdbRGgUJo0DbJFZoLLhDa1eOYkEQQWgcDp/u8NyJh9dt3bHlt6+/elP0oXfv+YsLx36LDbv+2d8+gP+rd3+Ev3vrm8Xf/wXx9vX1Z9/39puebFy2o0Zn0CCMXMLIsZ3q0iCyZ2FdAilBpSB3lMRRAscRuE6C5wg8V1NzDfXI0AgNE7WEqbpgEEp6YZNjp5u8+y+mQceIOOa6qwbs2hgSx6CNxhibxJFCIJXAcT0OnPTYd7hGs+bQ8iTrGoLZGcn6aYfNs4odmxL27lghEYv8zifanDg5yY17XC7dmTCMe3ztGZ/JusvMhGGyFdKoWymktaQzUiz1DYudhE6/zkuvWOHRfQP2n1RMtmu8+PJJfuJNi/zuJ+Hxw036Q8NKz+HCUpuN6xqsnxqxY2bEv3z7gHajw9PH4MApiesalDIIoQG7DRoDcQw7NybcfGVMErlEsY8xDUahy/kFj2Fgd7RRqHL5NgwFo0AwCi1rWwAnBIEmCDWjSKdfSx8RjCLBKIJhLBjEkl4E/UHM5ORTk2+85vT7/tPZubg7+kcfnTvSNut3/8TfHoD/xu/+BZdtb6rPfOWv3nrm9PwH//TBpdrT+1u856c6XLItojeoMxr5OEqjlEYqjZJuGkgalFKp3pa4jtWcnqsIXEkQavwwIYgM9UgTRJowNLRjCCJNEEMYC0aRJEh8oqTG/sNNntoPiTFYaFtt7ErwlK35aPlwxSZo12GiKZlqKWYmHdZPw/aNAZtmV4jMEr/ziQmOHJ3g2osUF22V7N66zN3PxVxYnOC6XZKptqbmDfGlj1GCOJEIY4iTkOV+jQuLLtdeWudFe3rc/3iNDVOCRq3FtXs0P/vWRX77k5rnzrRY6WtWeor5ZYd1k02m2nWm2hO0GxGzzYgd14b4bozrxCiVIIUNJgx2UUWRYm7eIYoVUawII0UQpc+hJIgkQSgZhZIgtCw8CgVBaAhCe12DMCFMpcgosl8fhSVgR4J+JOjGgl5oCEchL9qxxK/+xAVu3XOusbjQ+GBg/lR3o72f2P/kXySXXvMD3/kA/4M/+jDtVk3tP7Hwtgtnz/zJwYMnao12k9sfBe8Dml/+8RUu3ZremFGCUgmO9HCkQSnL6q4yuI7CdQxuKPFcYW+CKwg8RRhZoEeRIYwT64rEpUcCcWJIEk2isXpbk4NbCFASHAmuC74jqPmChi9pNhQTDcnUhGD9dMyOjQNazRU+8UDIvc9Ms7LQ5qrtih2bXC7ZNiIRK9z+SIOm6zA7pWg1RjxzBJ4/6nDlNsMgUFx9ScRVuw3nzyXML3sMRw1ef0OPrz495NAZRbMu8b02V16k+eUfXuSe54Z89p51LHYNO9YnLHccJtuKiaZLq+HSrBtqvsb3NL6T4CgrtaS098AYbMJKC2ItiRNBHAuiWBLGgiiSBJF1XsJIEEaGMIQgSggjTVgijiAqPyy4hxEMIkEvknRjGAQa4gHXbl/iF398kddeJ1jsTLC4fLIWisk/M07970dy6mOP3P/R5MUvfft3NsCfOoU0uvt9/YUzf3DwwLFau+YyQhDqJp95cCNhoPjeWzu8/ZU9ptsxvUENJROUk+A4Lq6T4DoObuTgO4qRm7KNKwk9QRgJe3MiRRRDGEnrIMSF7RcnmiSx7kJiUqckdUuEEKkEsrLHcwS+J6n5kmZd0G4YJluaDdMBs1M9YrPCR78q+eMvzLC+VuOq7YLtm1x2btbs2LTMJ75mWFqqcelGxVQbWo2IC8clc8s+3i4IIsHshGRyEg4dMyx3NecXalyys8Yrr+vxuftqzLTA9zyUnOTK3YKffOMcrpzjM/dP8fyZGhu6EesnYyaailZd0ahL6r6D74HvguNYh8naqiWQYxd2oiFJBHFCCnSIEkMYQxRZyy+KNGH2HGnCCII4c2VSCzIWlrVjQTeS9CJNOIqY8Hu883ULvO0VPV51jaTTazEc1Ui0z8rKsVp7Sr9v184px/PkX2J55jsT4P/t/Z8kTvQPf/G+I795/NjJdstXSGFoKkPoSTo0uf0Rydee9Tm/vMj/8z19ptoRNd9mHF0V4zouruPihQmh6+BFiiCShK5NpVvGEZaJUlaKY4gSSBLrJGhtAy5rPZr8/QlhAW61vcB1LEBqPjRqmlY9ZrIVMzs5ZN3UCg/sD/mzO+ocODbJzgmX3Rth60aPrRtg7/Yug7jLw/va1JXL7JRisgWTrYCpiRjPcxDCLq5h4LHUjVgZGDr9mLllj+0bW7zk0jnueGTAgTNtGn6EqzyEmGD3FsXfe/UC1++d48/uaPHws5Ms9h3Wt2MmGzGNmqReU/iuwHclrmtjFaVI7UOLcutQGbt7pUCPE53ubqm1GGvixII7jiCMTfGIrCtjA0nBIBb0IkEvgeEwRsdDZuo9fuZ7F/kX3z+g7nl0Oi0GQY0wctBaUK+BiA62O0tbf8dtXeedPPDxP96+93u/8wDe6XRQUv7473/gr3+tM3dqZqImMAgcCTXHMJEGdr12nc5I8Zt/5bHvyDJvenmfW6/psWFdQLdXZxT4eG6M77kEoYMfWXsv9CzAo0gSxnbbjeLU005IrT9S5pZoQwFum6RMmRscZRMmnmuoeZp6LaZVi5lqB2xa1+VCZ8Dvfdrl9kenWVpucvGsYPt6wZb1HlvXC3ZtHuF4K3z4Xoejp5rs2SCZakkmmglSBpyZN/iORAowRhBGDjvWd3mEhO5Asdw1XFiqs2drje+5tcPHvuJx/IKP60QI4aJNkyiWXLdrmR3f3+X2xwd86PZpHjveZMuUYF0zoVlLqHkC3xV4ro1VHJVarFLkNRkGu8i0wTotiQV8BvI4sZLOgh3CxGYpwyx5FAuGMfRiST+GYaiJByFb13V5xbXLvPnlA15/vcahwdJynSDyGYUeYewQJ9atGoU1Tp1anJnaFLxn79Xfowb97vsbzfZ3DsDnFjto4f7oXXfd92vPP/f8+pZvCBNBnGSBj/2QAhwh6Aqfbujw4bt97nm6x7WXdvn+V9kquJlJn+HIZxh4+K5LGFvHJQuU4lgRJZI4lkSJII4lSSJItCi0thbkqsSQeus2WaTSZJHnanwvoe7HtOoB6yb7DKMhX3nG8JG7J3j42UmmPJcrtxg2TUs2zHhsnpVs3RBy0ZZlnj4+5NNfnWVCOcxOCNpNQbsR0RkkfOFrNVqeQQgLrGHg8KabAz7/kK2J6fQ1c8sOW9e3eMstfR7e32PfIY+mH6OksCDXDUah1fp/75Ud9mya48P3dHnw+UlOLtfZ2BZM1AwNT1NzNJ4LjkqTYzJjcsjKj3Qq1bQudrg4BbolCIgSQZSkwE4Eo9iydj/BxjxhSLM+4J2vXeL7Xt3luj0JG6ZcBqMmnb5PEHqEkUsQFfcsu1ejQLJ05OB64T74a1e96CYdjpY/4NWmvr0BvrC4wvxiH2H4ob/69H2/8YUv3DkTDFZwHQXC5BdZikIfOsLgCUFPOQzcJqe7PmcfavDQM30+dlWPt71yyOtuHjE96REGPkHsEkYuUewQpRctThRxkiZskgLg2qTMrYuaMiFMGlTaOg7H0Xhugu9F1P2QVn1IwpAvPy75i7smefbYBCLy2Tll2DRpWDepmJ322LhOsnk2YvvGLqfme/zhZ5vEQZ2tWwWTLYd2E9qNCOGGdIdNJlsGIQTGQBRLpn1FrGN6kUdvkLDcVZyZr3P5RS1+6u+s8J6/9Dkx38RRUbowHOK4xiiUbJzxue7iLldd1Oe5E2f4yN117nhskrOdOk1f0fKg6Ro8x+AqbMAus9xC8aEBo+2iS7QgMRAnwvrniSBMbJJomAiGCQxjQxzH6Chgpjbk9a9a4R2v6vGyKyMm6i5h1GS54xNEHlHkEkSOBXbkEMZ2x43zxJokCpeYO3H7+vl1o9+Y2vSyOOif+FMtp6jX/+Y6hP5GAT4YDNkw23zznXc/8ruf+cwd7X6vQ6OmLHMI22WTAdvKA4OTuhdeoqkpwUB5DGKHuaDGZx5qcu+zA158Z59/9L09LtveZf2kot1wCCOPMHaJ4wLkSQZwLdFG2oyoEXn63S4unab5NY4T43sxrgrpDiPmuxH/9RM1js1N8fi+SYz2mKkL1q8zrJsQzLQVM5MuG2YkG2ditswOmJlc5vYnNI89P8lVWwVTLUmrIWk3NM16iHADfN/BUfb3GwNJIhkGDsNRRKwFvaGm1zcsdV3OL7a5aW+fl1y+wofvrFFfUjgysoA0DnHiEUa2x3PdZI3rd/e5/uI+j7ziLCfmJX92xyRzKw1OL/p4StJ0BV4mw2RKMpCmPFOpgmXy2AhiDZEWBAmMYgi1gSSGOEKqgM1TQ67aYe/HDZcltOsOcdyk00uBHTspASnCsLAlo1ha9k4kcWwJSCnFcNBj39N3z2wP6r+7ceuNy1Ew+PTfJCb/xgD+3L4DbNu6Ub3vA39x8ZPPHGjraIXJlpMzhkqdiiQFdgFuYT3u2OAngoYSDB3BwPEZJi6LYZ07HpvggeeHNP2Av/+GDltnYnZuHnLTFT0cYVvEhLByxWYlba20MSXmxiaQlLCeuSEGGfPcMcmj+x0+93CL5062COMGLUcxWzdMNw1TDWN98LbD9ITDzKRg43TM5tkhm2aXuffZgPd+bj2bJh1m29BuKtpNQasRU/cDHjioGIUObtOCyhhBGEtqjuKaPUMeembSFj4NE1a6LgsrPhcWpvipN17g9MIiDz05iysBEaGBOAVQEEr6Q4epVo3JdpOX7BnwiqsGfP9t8+w/pfn8wzUe3l/n4NEmsXAIAsUgUqi0QrMaeKY5AaOJtcFojSsSJryQGhEvubbPrk0jtq6LeNfrAuqepFl3CcMGnZ6VIXGsUsJRhdceK6LIgjoriYgTWxCm0zqjKPbpDkcs9R9sz55ZuPilt71dnT19ONm89eJvH4A///zzbNk0633toUd+RBD/5rC3xHTbsxdPpwVAqd6LpUEpgYxTDZwYVAyuFHja4MeGWiJoOCmLJC7DxGWQ1Oj1En7jw1OYOGLD7IjLt4+YmYh52yuHbF8fEkUi1dsSSsxNJo2kRkjBx++p8/SRJsJxOHG2wZkLDWp1xYQvmGwa2jVNuwatumCioWi3FFMth5lJWDcZs2FmxJb1XRKzwse/2mbYb3LJVkO7oWg1JK26plWLcd2Q2x+qEQwk7npbhpBJlGZd8foXD7nvCU0/kPSHCd2Bw0rP4fxig8t2tXjby7o8/lyDE0stlNRAlOpllyixbtIolPRHDp2+R6veoFkPuGzriBv3jjg11+H4uRUcN+Gpow4fu7uBUMqCW8jqTTQa0GAMUZiwY0PMO145ZF07Ye8Ow4YZSGKXIGwRxy7LXZc4UkRJsYNGUfocqzQmygrZCnDHSSk2Su+RThQrvWXq7fg3n3v2scHM+l1/fPDg/nDPnku/PQB+/vxpOisLe06ePPV7Tz7xmKzXFJ426MSQaJNaUjaQUZL02dg/VlqdGCUGN4FYCfzEUNP2+6G2AWqgJUEiCbVLpGG+3+bupzWGhE89bEc2YHT6KIJZezPTikQhkUoRRw5SO7iOpOXDrllD09U0fE3Dh4YvaNYlrbqVQxMtyVQbZiZiZqcCNs/2SFjmv/51jfufWc/uGZhqpOzdkLTqMY16SLMxpF5v4CuJkqkGxy70KHIZDQXDIKEXKPojTW+obctc0+P0hQleennAz779Ar/1MYeTKz5CaIyJ0Ikhil3CSDIKbBlra+jQrHk06jUafoOaH9Gqh1x3SYjnRtxwScy7XjXAUXGaBNIIYaqiPJV0WS2+7yrAYxQ4LC47tm4nyWKe9BHLIgYqaewoA3RcADsDd5Kkmj/V+4m25QQPP/KY7A3l761fGnw1DINn/yaw+b8M8Hvv+hQTbad+8uTht548dlhMtj3rQ8epv6qt/ZRkr5UgSQxKgZNkXiw4afSeLYQ4EcTaFJG9tvrQPgShlsRGkmiHSPskqe1V/sizlKlb40hwFdTqhppjqKkE3wXfgZpnqPuCuidp1CWNmmMB3hRMtjTT7ZiZyYD10302r1/kvZ/TfOiODWybVKxradpNRauhaDagUU9o1SPOLWqOnPOpeXZBQ1bpJxiFDrs2ajauG9EdeQxHJmVxyUrPoVWv0WpM8q5XzXH03Hne9+ktONLBoEl0QqwNUewQhIphaIuiBjVJY+RQ913qfkKnZ2MMz01swsxNcKRtlJDSpvNF+rClKwIQKcgFHZ1WWWob1ySJRGtJrIt4xwI3C/AFSZK6WUmRMU20yKVJnFq39rUFe1b1OBrBgw89KS66qPfWnTt2HvnLD398+P3f97/mkf8vA7zdkF6/e+Hnu53zPy8ZyVZDEoSgIlHyVnUV6AocLfJEjKPSPzpbzdnPakoPU6TZ00o5K31EHiiVNTdQapAAR2qr+ZXdMVwlcB1jfWNHUPMlNU9S9xX1mqJVl7QaholmwmQrZrodsG5qwPYNizx8MODD92xmquazoaVpN4QFd13SrGmatZhWI+DhA/DU/gYXz5pU9xZp82GguGGv4ZLtQx55dpJBYBiOEvpDJwW5S6NWp16b5J0vX+Kpg3M8tG8jGIXWiS2HjQ1xZPJ6kmHg0BgZ6jVFzdP4novvJfiOxnESXEfn9T5ZYZsUBoRBUOi5Iji3JcQ6c6R0Zr+WrNgU2HEOYlkCchnYGZhFnp/I7ci0pCIINYNRX548de7/ddy612i2fgUIv2UAD4OhjKLhLz1835/9s2HvrFfz3PQSgZQiTboYVGybY2OpSVSRXEiUwcmYXYt0EWS1Iln2EcvOKch1monLkhXGGEqZ98qOW3Vs0nS8EhbgedGWzf75nqLmK+q+oFEXtOqGdiNhohkz2QqYmRiyeXaZhw4M+aU/2cDJ05NctE4z2YB2XdGsK5o1aNYS6rUIzx3RGRmUVLjKIGXxziyjSaLYo12PGMSaQVpnPRgl9AaSTl3R6PnU/BY7N0b88o90+MUPSr62bwMGhTaaJNHESUwYa8JIMQoVQ19SDxQ1T+J7Bt9T+I7Gda3f7yhjAa4swFUqU4Qw1QbdNLVvUhIxaS1LkgI+0cWzvWcyLwHIAZ7JkCT7mwsii5OS5x5rotjWu8QxHDp62tOy8a//+c++we33Bv+u2Wr8T6fz/6cBbvQSxgx+Ze7El/5J1D9Sa9UFfZGlwkVewBTFgkSlQE8siHUO6gzsBcjLwNa5R5sFq9arNWMPxgCeyu40sLQSRUlhZZEiTcsLXEfie3YAUM23IxnqvqFZ07QaCe1GxEQrZLo9ZPPsCg/tH/CLf7yOAyen2TFtHZZWXdJsSMvedUOjltCoRURJyJ/f2UIqhSsNShQ2oTbZFu7y9167zJceC+mFPoMU4P2hotdXdHyHmufju232bov5jz+2yL//Y8GDz25AG0mibVo9im2hWRBqgpotd/V9Qc0V+J7NbHqOyTO2jtJIZdIOKWMbJTKAFylPICURbC7Bui1pIJ8BOJ06oPPkGhVtXSwAKs9WdmqS2BAl5ZoXQ5RInnz2eO0DH7vnn77rba8WZ+a7v7Bl9n8u0/k/DfC5cwfA6Jd0F+6rC2IcVcNVBu1qyDpxYlvIFCepRahEFdSJQStysOsSQ2tdtF8VEbdJWZus3Bkz9r4ygGc1GCqvJxd5HbkFuMR1pa3f8AQ13848afgJzboFd7sZMtkeMjvZ4eH9A37pA9M8d2IdW6cEM82SNKk5NGu2fqVei6n7Ia4bcGZxClcJlNSpLVcEmUkiiWPFpilDHEd0o1raKaMZjhJ6I0l9oKh5Lp5bw3UmuHRrzH/80Xn+zR/BQ8+vJ9HSAjwxRHGSMrkm8DW1UDLyVC7BXBdcx0o0W6dibVqZeePp8xoYt3KFNCmEyJNDOk0OZdniJCl9vSwvc2AXNUFJqQYmTmxPbNZmpw30hgGfuuOR+g0v2vUSKeU3guPfLMDv/+qdzC/VGg989XPe+pZECheDsBfNkDYQSKQwljklJLnOFiQyZWqHHOxVYGcyxORAN5kcyV6/wHuToiiiss0SIge3kjJtlMjkCdRc8D1NvWao+1Y/N+oR7UbIZHPIuqkOjx0a8e/fP8UzJ2bZPKmYbWom6oJWTdKoKRp1Qb1mF4dN9Yc8tE/QH3nUFOkis7ta1oSQaEEUOzRripuu6PHwc20GkZUpwyBhMFT0fIXvKTzXS/XzJJdt0/z6T8zxc/8dHty3nkhLIq3TZumiBzPwJL6nLXu7RR29o7IHqUwpZJxMs7xrgTxLCpkM4Cngk9x5KQq4yjuvTo2DYpeuElxRGqBTVrc3t+FLXNXlgbu/4L3+Na9tfP7zXxx813e94X8/wM+eOcm62S2TD9z36T/0VPzy7kBR9zPdbbdBW+9hSt04GbDTlexkWxpoJdZm7RKgdQ7soimYVHvnN0PYgiIhU3CnRUYqBziotGLQdcBzsZ1AXlpg5SfUU3nRqgdMtIZMtbo8eTjg379/iqeOr2fjpMNsQzNRh2ZN0KwrGnVFI2fvhJof02qMuPcpj5VOjampIk2eAUan2jRKFOtnFK96UZ97H9W2iybUJZBLaq6k5jq4jofj1JFSc9k2w6/9xBw/998NDx5YT6QdorQC0Ja9Wib3I5lXF3qOxHHSIiwpUI7IySd7f9kizKSKyKrSKBJC4w9deta69JzvvKXd2pQBTu6sxSWg61Rt+67t2Jpf6L/88NHjf/QD3/c9P33ixImVHTt2/O8FeDA4w4Uzcz836h79PqXn8P1srIPd8jLACaGRqUSIZbq6VaHLtCrr7BTsmfGvy+B+AeZOkZ5l5HLtLbMKukJ3ZxWDjsLWZzgG17WNxTVPU/MS6rWYRi2iWQtoNUZMT3R4/GDAz//3dTx5dAPrJ13WNxImGiYFd8reNUndt+xf82MafkisA3qhj1ASN2PwXIOLlN3SArHIpemNbLlAWGMqA/koYeBZBvc9aWvinewAWsOVOw3v+ekL/Ks/0Dy4fwORdggSQZjolMUFtUjjuwbPtb2rThp3OMqWCNs2QHudrEwRpR3QXtV8YZZjnTFw5yRUIqYyuDOwF0xeFHjl7lpqB2tdSM84ERw9MU+tcfT7tj/w5JEwiv7N/1YGD4dHcGtbdxx68r9fVVfHmJrQNuWaAVMU+ldKSKRJaw5EGlim2syUwJ0GKSYLJk0RiBVMUWQlTXnPzFi7HFRm221a46LSYMpx0s6gtAgpqx6suUmqmyPqtYCp9oCJZo+H9sX8wnvX8cTRDcxOOMzWEyZqhlYK7nrN2okZuOt+Qs2LaTdD9h033PN4E09KXKXTIK7wKLLtO0oUsXa49bqIiy/qc+RkndkGRZ9jkDAYpSzsKBynaOMTwnDFDvj1n1zg3/x3zVefm2UU1W0yLDY00hpu38WC3Ml2L51KFIlUSb7DKSlKABclkLNKrxQgN1WAm0JWZl9bK55K0s9zJjeFJZzhIiOzOJE89uxZAh696ld/8Sd2PHXgzIkX7f3mjzv8pgFuzBFgamfc/8p/aTin31x3lzH1BlFk8pELWgtk6aGkKFarEqvckfJzYUel2/i4S7LKLUmZexzcwiBVZgumNS8qZW3H4Dka19X4rsb3YmpeTM0PadQCpicGLPcG3Pcs/PpfbOTpw+tYl4J7sm5o1QXNmsi9cuu8aMvengV43Q8Ik4TRsEZN2UUmRWnrJ9OsIg00HavlnYAgNAwjUQK4xvMSPNfBdSWOUnmvapaFvHqX4Nd/epnf+MuYB/fPcLbTZtSUTCaGVmyopRMHfNek3n/mpJicvTOpkgE8f7/pmy7jPFeI6U0pdtZS+W0Z7KWvZfc5SQrAJ2W9Xvq5ggQES0tDOLHy5g98/GvJG2658p8+8NSZ47e86JsD+TcN8MOHD4Fs3sjgibcmK8/iOOtxYyuYZJImA6QFusrLVUUeURceKrnNZJM0pvraVPVelbWrqjC7CXbcQ8beJq9ULIYD2bJY19HpmIkkB7fvpeCe7jO/POTX/rzBp782y0J/itkJyWwtBXfN6u5GGljWfUnDNymDW+1d80Mg5K4nPZYjjxmfSj02orpDJYltfmj7Dq+8dsBDB0J6kc9E3rGu8QJbq+45FuCOMijpIqRN0GDg0m2S3/pHXT7/0JBf+cAGTi9MMZx0mPQErVjTiMGP7OhlT9mBRm4WaGYDlUrP5UC9vDCFyHtFChbP71UJ7CW3S5ekZsHkZa2eFnrlibvy161MEdLhkaf3c80Vrbf2r5B/HvSGx/9GGXwwGFKv1y65576v/uNHHzrF9ZdM02oohDAoabW2zgBtLNBVJj9KyYE82i4/5xLEVKRJhbXLsiS90BmzZOnmzAVQGcCVwZEW2I6y4HadBM9N8NyYmhfhexGt+hDHGXDvUwl/9IU2n7t/PaFus74tWFezssRagJlPrtKHSJm7zN4RjhPwwPOTDEKHTY3s/YwzeGalSaJYUXMVL7lsSKwtwIeRsF3rWed6oG1w6IiUxe1CFmly3SBYNyn4vtv6tPyzfOALQ+57fobzUZ1BTdKODU3HWJA7aRyiTBqXZE5Xdg1FUTsuQVKwePlEwfItydl8bOctx1G2Lp8qo48BOv+51G/Pft6RsHejoDF6Fk9c9Y9vu+XWJ4bD0aF6vfa/DvDlxZM8/9RdNFvtzWH3yCsmPEEUt4miGJHWVpOCOkvtmlxbiyqY069lN7iitSm0dgHskvVQtq+EGZMmWVbOVgza0W46rflOwa1sLYbvRnheRM0NaTRGeN6Av7jD4d1/up4j89O4fo2NLcG0n9D2DU0fmmmHfd232c5amhCy9StJuhNYebLQTeiHHp5SeNLkASalPyVb2ElasxHGLnV3xMbJISuDFsNIpOPWbKzguklq86nU7lTp3Jhy4GorH9/8sj43XD7Pr//ZiA/dPstS3GTguzRdSduxNTi+A54ib4ZwsqRPuvPJXKoUCaAyqVTFylpszhpgp6TNxx667MaIVfLUU4aW67L/UMhX7jvwihNn9OZOp3Po0JGTXLJ7+/8awI1JuPzql+ycO7v/vcngObZutFtmNuFVZPM30toFUwJ1tZYhy4YVIDflP4YyuEulrqUPgSnYJM2+yTLAZbqjVJg7SUEe4zlWkvhegO8OOX4h5n2fb/LJr85w9MIU7YbLdA2m/ISWb9LUewZumYJb5kmhWqq9fc8unHYz4BMPOBw6UaeWTuDK28UoUJ6PcTBpcVLscOkO+O4bevzRF2foNxza6ewRP0zjBqVxnGzCFyWQu6WbZXeF7eskv/CDA67adZr//rlpjp6fYCmuM3AdmkrQSIHuSWMXTuoy5btfdl0z+xCrz4tMp1ntk2c7bVY6kfvma9iKugrwDAfZz2dOSvbrlLS9oHPLiq98dR+7d1/63le84pY3rKx0v6FU+boAT+IIqRzmzzyydbDyzO6aM4/rKgseqW2NcnnbMlVQZ4yc1zIYkfvAxYIo2Dvf7nJWyGjbVHSgyNvfTA5umYLbuiYZeye4Tmw7d5wY3w/wnIBeEvJ7H/X4wOc3cmZxEq3qTE8opj3DhKdppMzdyNP3Mq1TSaVJ6p3n4PZs9jKIQg6d9umHPlN+6uJkSafMlciysKZUkxI5tJsOu7aGKH9EL2wx9AT1yI5E81J55aYSxclcD6FeIHhVzE4M+Kk3D3jrref5wOe7vO/jMywMmwydGjVH0XAEdWXr772020dJkWY3SXdDszaTU5UrObjXYnPGwF0itbIkKYN9nNtUKmdiJemeWeG+h/ftVl5t62tvvf54GEZ4nssLfXxdgOvwNMJtzTbq5qMMv+pOTQggTle3rhToFBJD5IycAxnb2V5eACa1F3WFsVf/cdm/XtiBJgd2RZ7ItEpOJRbgToKjEjw3ouaFeG5IZxTywNOSv7ijzce/OsMoaeF5HjOeYNLTND1Dwzc0vALcNV/i+xI/lSY2MZQ6EynAPddmPo+dM9z3mB1F5zfNqgAzv665BrelqGGkcF2HV93Q48Nf7nPgdJNhzY5mCFyDF4MbadxQo5S0vrW0A0nz4T4U4Em0JNaShu+wYXLIv3rngMu2B3zojhaP7ptgfthkpDxc16HmCOoS/GzAUmavSpMOPaUE8mrNynhxVukpJyg9BnRtVj+XZWpWGVrMrbEmhpQgIgCPj9z+jPvSl734o2fmVl60tNKf/59m8FBvksnyUzcGy5+eqPtdXMezDbxiNRRNvv2WtXjB2ib9vLIQMmCnC6LM4JXCH9ujY5k8TynrvNzT6m6Do+xkLKWSXI44TkSnH3H/s4I/+WKbOx6fYKnTQtZrtOqKSdfQ9jQN19DwDHWPlLUtc9d9Sc1T1DxBzSOt0NMpuDW+a/W3cgIOnoYznZpNrKT6tpo4KZIYtg8yrZXWkjB02NAWXLJtyDMnYwaRS5DO+PZCLPhUNlk3S9SAHOvMyRZPZkNGia0Pf8erhrzuxct85YkeH7y9zaP72iz2GnSkR99z8JTAkwJfYns4pT2lTolikSqRlv2ymsFX1a8Aq3R5CvhCllZLno2BpPT/Zk/294n85/thzO9+6O6Jf/SDt974qhsv+SJfZ3jQ1wW4TI77Rpg/6K2cbrpK4zqjNPATY9pL2GTPOMDLjxLI84VQ0toVSZJftbI0MZQL9K0s0anm1nYalkzwMjdDRsz3Yu59zOEL97f49H0TzHWbiFoNt+XSdmDCtZ08dZdUdkDdE+lDpiWnqe72BH7G3hnAnRjPi6l5IcZE3PW4z4lzddZNC1yp051OFI2+xXotyk9TSTEMXHZsELzq2gGf/FpIP3IZRoKaa/Biy+JBZEq7lMr9aoSsyJTsWMW8UUFbv73uB7zjtiGvuWGRT321x+fvb3Dv0y3mOg2GwmPoOTiuwhECVwpcKXHTDLUSBoUoScOqfTj256XvpVh02bNBVLS2NpCkX0tS9talny3/O0XgKjl45GwziviDJ/ZfuAwY/g8DfLGrGejhDwyX75mcnTqJgnQ6alr8nnZ+ZG1OsBaoRR5YGqpAz8Bsv1aySdI/pbwNihKwbQmAlSQiBbjjJHhORK0WMQoSDpyB42cVH7lzgi8+2mZuuQluDaft0lCSlmtoOZq6a6i7UHMtuGuunUloy0xl6SHS75sU5DoHuefa9rQjZzXPHPPBddNt3pRS9KKCgvJ2nddPJ3ac85W7Ai7f2mf/mQbDmqARC/zIEChSa0+n7J25KZkFWWiV3GdPrUitVTp9wGUUutTrAT/8+oA33bTClx7r81dfbnD8bI39ZxqEKz6x7zByHKSSNp0POOlzxuS5dKEI/lcxedlNoWhMyXb1DNBJOcAsJY0MWfvhWJSawMmjQx575knWzXz90yNeEOBLKx0RRuHP/uFfHJ68eJ3hhktCrrskRiqBciRJJAlDlYJapgCWqQwZA/oYwCl1vBfbUXFphCieRdZtkrG20OkpDwm+byepxknC+UW4826HI6fr3PNwnTPLdY6cbYLvoxoONUfRdAxNR1sXwbWD82uuHddmQZw9ZPpQKcBJNXcKbjfBdy1724UVcmwe9h1v4MqqPZhLFIp68MJNSJ0UnfY1xi6X7xhyyfoBzx6NGcQurUgQOODFdiagKgFcSoGQssLkGVMW/rLIg9msjzJKXALXo10P+XuvDXjZVV3OLHe56xGPo6d8vvR4g7OLNZKhi5YOkacQUtqdIjs3iTTjCblsyQhp3FnJZJkp6Wv7rPNxcqSfW0CXnnXapxhphJMgVcyL94548e6I63fcu+61r/3n//gfjo69R9V2rRm+vSDAP/ChzxPGCR/8zIA42MqujV2u2Dnk1utGXL4zYtNUxO6dIxwkcSjzMb1aq0KiIPNgMgM5+XP2m8pyJ0vkmDHmLkkRleD6CVFiOHpK8MxRxZ0PN3j2mMfzx+p0A58g9MH1UG0XXwkaChqOpl7ygX0nq9PIymZtXbifyhLPU3ieTBeAKbS3m9jMomt1fs2LMDrkwpIkMD6OI/GkwSnZbGMEnoM8MdV+xzB2ETjMTodINaIfuQwcYZ2OqCgYc5SuZCBlZlIDZMOOEBgtCyYvDUZyE5WPnxgEHhunQrZviLjuooBhOOTvH+vw7HGPOx+q8cyxGkdP1ohiBb7CSAVCkshSNiin7xfQKuUMV85oZXbWxbNOG8exoHbQ7N4ZsmUq4tJdAbdeF3LFDs3WWUUQLjSXzj3wfQjnPf9DDP5r7/siyys99eBj+0QYS3rxBE8d83jmyIg7HgmYcCK2bwm5cm/A624IuO3aEIytcag3M+kiQdumU3vMtg0VcwZn9cWwnrqdX+I6BoRGSEMUGgYjy+jHT0v+8g6fQaR48vkah0/5LPQ9gsQDxwPlotoKTwrqChrKUFPYcWYqLTxSlrU9V9ikRxncrsRLZYnvge+RuibW/3cdjefGaUY0ol4LmVtOuPPBFp2ez9SEwEm9+Kzoa/y+5/e6nO3VkiBQrJtRvO6mEV96dMjJTpOhK61MccCNDW6Uedapxy4TaxdSnnUi89+hjVP6HRboXqJIHEXspmMfItdaqW5E04t42ZUxL7ks4C2vGHHwlOSpfS7DUPGhOxscO++CkAyGDkmosvJNjJMBfMwyygBeSUvr/LWINUIbK0e0od60CTmB5pW3BLz2+oAr9obs2JzQdiTTTUWSeAwDn9BIosFzYmr9lWow95G4sf6d3xzABTA12fq9UwuDqyWamq8InDo6cZkf+MwnEceWIh58NuFjX4lYNxVjtObaPSHvePXINjbEMDuZcM2VIc1asUhFpZ6k+luz4TydgeCppx0Wu5J6TfLwPpfPfrXGKFKMIsW58x5aOETGRQsXHAfhOzhS4ilBTRpqKbB9ZfCVsTXgTur5OgVze1lfZg5ulfZoipy9PVfjeVmBVpKzt+dFKBVy9xOKT36thfIca7dV9PcLM3jmhRfd6IrRyOVNNw/59ANdPnTXBP24RjPV4W6mw6MsKWPybiEhZA4w+6tkSeuXAK7TGSWOZXLXUcSOgxMnFugqQSk7r32qFnPz3pib9kYYEfC22waMIjvO7TNf9Xlkn0fdFyx0FU8969EdyFQliTXvcJEEsLKkWTNc86KAdZOJLcBKDO949YgXXRJhtGB2UjM9CQqFNh5J7NAbukTpBK1Yg+8tXu24rd8z8FPfFIMvr3SZnGi13/MHn9rbIFJtRxMj6AvJSLjEUoF20Tom0DHnO5rzKwmYhIMnNZ+9224xRhsmphJuvCqkVbcllGumJ8vLKnUdVvqKR5/x6HYU0pF2JopxLDMJBzsX2AHpIKXElcKCWRp8qfGkBYKnbJo3m9FnQS6KhgfHNgJkjcdlcFuGT8tq3YzBk9IjxncijAk5s+ARBjX8CYmXpr2VIPeR8yymyO9vJR+Qd6drRRi5TLUU29aFeGLEMPYZxoK6Y4dgZjUkWUJLyXJ5q8x/l/0dMk3+6CJ7qnXaM1lIozhO0ryBSs8/ioniBBXZXIKjEqSM2bpOpzuG5rLtI0IzRDqaTkfw6DMOKwOJyhVLNagukyfGNj80a4aXXB0xMWkwib0WdSlQwqqARHskkbJlxYki0Q5x4lh5FTvp9FulRM/s3XjRO9vBqNf1a62vD/Cz5xeYX1h+z+ljR25zkx6TNUUQm3xI5kArQi3RxrX9SFqDSYCE2Gg6OtVP0tBdNpy7u+yMrgXwsn5Lb44Q6OzIBdKaU6GKIEfK1MrKQJ2mnSXpwa2Zb1x6dtJOekV69B45uG1bl8JLwe055CWmlsFTFnc0Xpoddd0I3484taD5sy81wfHsdC5ZSvBUwFclsoxdsyGhFmx2sE4YubzrdUM+de+Q5y+06CcujdgeSmurAE3RiaOynEA52MtKFzMpJEsFXtlD57UwjqNwEzsvxU2BrmSRNLN14+lrodPBQQmOMAiTsK6h+a6XahBJXrqByM7PMKvvdw4JgdEOOs7iNUEcSSIjSEwaz2lJYoprEyeOZe9YEUYOg8DQi07f1pg+/R6tk3/4DRn8Y5+8AymFd/bsORoeqLgoS5XC4GgYaUGgBbGQaJl10qcBgioHDYbELQPbjP29pTsvBPkZa6XgRcjstGNhz9ERNq3sC1st6Er7uSNJayrS7vGskMihNAeF9GS2oqu+ALjMZYvvmbylzfN0aXBOjJuyt+dESBly4rxgvltDOA6+pCJP8vR8yUKrOAqlwrMiELQz/mbaATs2Dtl/PmCYOIwS8BOBmxjcONXhMbmzVFxGVelUyGI6O2nXFKXLuTTSOIkmURLlZMeXq7RYLUnPSyoeQmpUCnKR/W70mJVb1ChlDlixuPNiZ/ucO2pZWYcsfHwj0Fqhk/KwIRs3hJFDEDrpgVlzHH7+Ds+soRBWAfzM6VMIIdDJiJpn70pW0wspyAV4AiIhCE1aDotEy7REMt2GKsz9QupECLutZlt5bkFlnis4AlxhcEUK2lQCZK/zr6VkX5SCkjfYekpYsFfALe2zlwE9Cz5TcGfdP47OJYrrWH3qeRExEZ9/oM6F+TruhMIr13CUHRTGFGnF1hVjQaBiFNgJtm+8pc8DT4/oxjUGjkM91oRpOl3JoiAqKzgTQlN0DmWBpqBIiWMBYzSJIW1CEThaECuBk8j0FDtbyxOnQC+SaTpPsEmpS4k3XUnCFdZuySN7gUC7UqaRyzZZgL2UrMoIIC4dojUKHUZhxDA8g+EbAPyRh+6m2ay/9DOfv++Gzsoig6EgjG0RjqtM/j4z4HkS/MzuMhBnN4xqxmpNXGePLFkgQGXPwuBAbrWpNGVs55sUGjebUGufRT4KoQzsfA6KwvYjrgXwLODMdLeTyRKT6u1qLbnnRnhuyPmO5vHDdXA8nFSeOKUCpSzbJ8YQbnMCpaq7vC9V5p54FLlce3HAzOSQznKDQaxoKHBj+7eoJB1cGpUBbnthiwoHOVapKdK+STulSitNogWuFiRKkihtZ9ikIC8Xr2XlEDIDeQbq0oQsgWX1oqQ55+nVtSv5hl4FuEkzlVlRXv5eS9cm1spKu3T24XJXwLB+w85Lbnzp7bffef/rX/+atQG+fnKA40TfddVFo2ue3x8QJSodYGkBZdJkmdQWcBkrJFnxesYYUAH3qiBjDOD2dGEqzJ2NXFMlkGeM5WS1EWkNeFbqaZuLs04VK0tU3r1SADtrvrXsnWpuh1xvZ5agZewC3G5enRghiPjcV30eeLaF9B08Kez87byCsGijKyr+xrOZ5Zr57CYqEq0YjlxuumLId7+sx/s+1yJMfPqJpJYYgph8rnpR9adTOafHFtQLMTloR6aNwCIHd6IkSmnL6FKmoyV0qRS5XANkCpCvweCFbDJjAEh9tLJyycFelH3o1Mc3edNMccCBMQIhLSGt9AOOzMfXyHbwXXEc378mgz+5/zS61X7dX33xMz/4wENHOX1OEofFDcmYlazrw1S7MvKimtLzmvPUyiBPwZ0BQJZAISlqHsqjDTLmtkeQZJ+TMjh5G1aFxdNuGFdVwW3HKYwxd9qz6aXtba6TNRzEpUdESMRf3dUmMT4qz16WA8yirzFzNioanLF2PS3tKI0kC6gcBC7veOWAP/98wIqOGCY1honAjclZXEpjByylRWfWLhyvPZIla1KUQC5IHFP0zCpN4hiUtnIlUQaV2ApGmz2WeWlyYVGWqzuLMua8KaUE9Bfez0vFdqlGHy/7KEs5eyq1TXi1GyGXXxSwcdMT3HTN1A9edNn33vOj7zj6JelfVAV4EIZE8fDi5w+Pdn/4Kwnb19WZqWlcVYAPaeOFDNiGIlAqag+KvspxVAvSeKMUV2byJAf6WHlmrsXHNGcG+vJsD6VEocXTirvKsJsU2I4ShZOS24G24942JpuUuYsA0ymxt++GPH5YcuhsDaNclJR4UuOM12mUBPi4i5I98o6nSg9rGkzFLrs3R1x+UZ+vHawTKY9hLKhJcBODE4tUvqVdOHGqw5FWLowBqFKfn0ujbGBP5q7Yepckm92eSr8C3FktkEnLBDImJ989RAnc2dE1+btYyx7PAW6KbHdpMa4u/bDX00nr/tdNh1zXOkd7emm3joYXGx18aRWDnzi3yHJvyNIgxHc8e6pARUYUtRSywtTVRuHKG179J5SYu/S6DPQSuFVe813YboVkEbZ7XhTgtkGmyLvFnRzcsgLw8vAf221PDuw8W5kzd4Ln2MSO7QqKMER87K4Gi4t1hO9Y3728CMdrUMpbV+la5eMRSnXceTClFVHksG5a8vZX9Xj8cJsgqTFQHvXEavGsnFVJUnBne4VOPfFS1hBZ0bzWHzelBVae5CtROtuRTP7aAlymf6fO2+ayLn8hZNEcUQF5UTRXKIIqBVZrk0SBp0qVaiGBi2tqUmu1ThyPcKILmKSf/7s5wH/1D76AVJKlxRU2TTg0XZ1r3UpPYSnjWgZ1WZKYNbaj8k0eXzT5cxnQZRavjBcrGFuWGVyJEotnckWinCrAPScdAORmRwemGU7H4OapeJ2+TioPR9nOnedPwEfvaBFIDyVVmr2sLsTxDObq5V5cRz22BeuUwePEwU8c3v7aEX/yxQFPH60TKZeBlHiJTt0jgUxM6ToZ214myvasTn9X9dyiMpMnGpzcQrRTf1VaEqASUwzrzOeyiHxBx2N6PANzuUEie10AfDVGxgvwyj0CRceXyK+glBDHikAYOmaS5MJRvM4HMbqQaA7AyVNn2LZ1c+NnfuH3dz3WnSOs20ExShZvlNINyW5ZlbHh60isyr9RWdlj7L22RBE5cMbHIcsSY2dBZja1yXGyQ15T7a3GwJ2l792sMVnbmSF5i1jW0xmnjwjlhhw649ALPVBOKk/MWHns+MKtIrw60GjMC0+7cYrEj0PTFezdMuLpQyGJ9hlqj1pia7adVIMrYYdXivSwL5EDO2uIyG56ZsNlfbLg5INN7deUhkRawKv0dAqpiwkB2XStJOvuzw2AIrgU0lYeFc3KVS2+plQpsJv9VOEwl8Gf/nB2zmeceAShIohdWlM7dl1y3T9rLC3+m8H0zCYL8DNnztNZ6bz22j3rfu7Q888QO5keKv3iMV09fqjqKnybMVCX2LsAuc3nlIFQALvoY1QlVlSVoZoZyClqpFUJ1PnrNMmjSL1wC24L4GIokFuWJ2X2Vmlfpxey1NP8t79usTisIXzXyhNpKrtKMThn7YqMCtCxZbMma9LWJbcgreNuNxx+5nt6fOXxNouBRygdhlLipT2UxciHlMGzip9UF2dltAadglvnmcNy25iTDmnKgvQM7EqKlMGtJEpyF4VcphQ6vGgnLGRKFnhm16P4uilho3xdsu+tJtYx+ZvFgtohWhZsqu/4uVMnDt0fR8NP5Qz+3PP7qPke586eouknaFyi2BSj1ChvG1UQf92PMqDLn4+xW8HiogC5HJco1cE0ObClsDXqchzg1uZyUkni5ADPNLfOg0rX0Tm4XServ6iyt6siPC/kI3e5PHekDtJFSomflcaWrM2KrBNiTbZa3ZArKu1mOmXyKHGIY5crdw9488u6/MkXa2jHZyg9fCnypI+SgigP6FYzuSgz+ZrdV6AVKGN3BW3sbJtstqNldUExVqKYRVNMprV9nEJWAZ45YmViowL4VVenjJoqkZbwmHWIZWPwur2E+NRZhoFHHNuDIRyAdsun5vu0mh6NmiTW9qZk57znnrahKvC/HrZLy7MAtci/Z4/OEGuydxFYioLNc4b8RgCXBcBVqYbaSetSXHIp4qrCLXFLw4EKzW3Z23Xs1KrljuYzd7dY6PhQS90TUQrGXkCiZH/n+P1b07bLLEMt0VlqOnaYaiv+zm0DPv3AiMW+T6gcholM7UmRujeiaMaWBVtmwDZZIsOAztm86GZ3MmdFpa/Toak6HX+dXfcyyIUUpe77bIhnqrtlVX+XwW3Le8tcWAbL2v5ybrOm39YmTfYkgiCS9IcGP3KIjWfHMAPOoUOHmZqa2vnYY4/97PzcBWqewzAClRSpVFG6IS/E1ONvpxJcrcXc2R+YA1t8XYkiKsCuzv4ud7jY4e5UwZ2dbJAxtyox9yoGz8ZNFCMnHGUzl8eOCw6eqKHxEdLJm3OL6sFy/CBKrkZxQcq1KAWTi5I8EbmTkbebJQ4Yh0t3hOzeNGJxfx2TeJbFEytTnJKLUwR35UKvrEZIlnbklM1N4ZPb8XtpWVEptlHaLhotSbV3mtCSBRnl4NbC6m8pcnlSjIEr3J7CLjaVMmqx1pY3zg+maMuLE0EUSxIjuHBhjm3b9/7sddfd+OTJE0eOO1prwiDYqI153crKMo490y+/MVKk+t7Y5/FfXZlAal4A2DmTlaVJumlWmFuMyRNRciZEKdgsAG0ZnHQUcNkHLz/SI61VGdwlkKfn1btpaWjG3ir93HEilIr4/NdaHFqog1fIE7dkXZYlV3btvt52Vx1BXEpqlE83y8poQ4eL1oW88aYBjzzfAO0SJ1aLu0ma3U2qUikHVnl/TwNPO1ZNFMFm9lqmr2W6q8jsIfKJwSp/DVJnO6zJiakiVShiElZ15WfBZnW0Xa6yRQk7Y6RerqkvYK9YXlpGa/26IAw2Jkly3GnUbDvW7JRh44zg8BkIwmJOc7GtrLb61mLv8cEw+R8Aq7bubPvOXJTxAC0DtFgD2DmbK1Fqwi2BO51PWBzbwWpgO8WAoHzEm6NTkMdWnqiIeiPkawcUn7q7yXDkQcPBkQJXVKXJ+PsvL+gXYqKK/h6zDMu+eBQ7TLQc3nLriC8+MODhAx6m6TJMfDxBvtBU/vsLHVwN5yzITQVOulhgyrJ5Iq0e1yXWzoJ6LbOgUpT0tygFuilJaZEnerJdTJalCqISfBagFsUCWAtzY+BX0vbKRjEcWI6YX47ZOdL0hxqnVe/heoJtGxZpTc1x8LF1tF07pNEOX1x9o8qgr7J1obHznxt3TkrypHiI1SyebXsyA3rK5qp0eoMSaW1KAe4C5FnZrMFxihHKTnoIk6OqQHdztrYPpWyA6XkhUZjwxQcbPH+yAa6LkCoFVTo3pBRcCjm2kBm7Zimyi6RFmigrZTItyGWuxTO7MAwdLtse8/pb+jx1vE4QeyTSZagVXsLYe8m8cMYY3D6bsfeCyhabRiuByhIrUmCUTe5lejzfUaWtS8rvjabE3qs7mlaRG5mUM6uIoKwEymRhv2fyayuEQTnQcBI2zIy4++kBh88F7OpGLHdCnA996oO06oqnDw/46J01GkLgN20BvZuGwOMBYDlA+EZau7z9CPFCIC+zdnbxygFmcQJBIU1KVmHO2BnAi8mpuURJmdsytsmZ2smfi9duGlw6KsL3Qp49IfjSAw0GQw+aLlJklYOU7ME1spjZ3zZGO1ktSqb7qoPkxxI+pQKsMHJptUJef3PAp+8d8dRRHxyPkZZ4qRZX2sZPRV0IiKSQByRlsBfANsbufLl0kZbNs10lC/J1msmWuki0CV12U9Jdtwz2LNaS1bhgNVa+wdczYEur8TN5q5TB8xImWhH/9PuXeebkZ/jyXffjOTHO7/6VjxSCYdDEBIpGq7w60i0g18VizTeQf166mWtp7urqFauAkMsRkQWV4wxu9XY5m6lUWmGYVhTadq70tVOeDz4G7vThZlNo0wJ/R8X24US4bkRsEj53f537nq1DzQFpG5rdUglvpTS2/Ch/spZEKenIwvYib0ZOTDbXpAB6MHJ5xZUD3vjSAc+dqBHHLkYohsLBTcjfk0gKFi/ewtpMXvx+g1IZc1s2t5/bAw0yHZ77/RmjZ6SUgTonxcI4QBikFmOArQbDVHBnv04ZI9n30venpKkE62HoMNGa5JY9MYglMBpne9u+2VFg6ClNzbONASrXuVVtmQVOmW9dfrPVbWT18SLFlmQZvNjSReWCiHFgV6RKOU1feqgxcKvSwykOQc0A7ZZAnTkn1jGxz0pFeG7Ek8clH72rBXggXYRQeReRSg9SLWddyztSSWmOAYwxP3d8ZrrILTCt0tEPpZYtYxze8cohdz444tEjdpJApBWDRKQFXynokpS1y3VAxfKy4sUYy+IloGffVSnotUzP88mCYl3KLJv0d5lS3KQLkBbBd2nCl6DIeK5Kipmxa5j9u+lCSDV/ltYXIj13M5YMA5ckaaLcOkJ6FuCOsv+gq+zQSZvGFiWwFBZQJUNXAS35ass1e+lrxeoT+QIZ193FRRCFhst+b8YcolR0lT2nrWnFYVP2ZIdiAH4B7gprl56zxtpMqigV47oxURJzz8N1njlcB9cFaYNLT5jS5NhyYDW2K1UAVYWWKb3IGyBKNSKV6sJEolVWC+0QhC5X7B7xihstiw8Ty+KB8BhpcJIsmEvrVErBXCFR7BsoJ6TLbKgkGGWQxpZGG2MDUWEERoA0opAq+Q5Pib3T+6pLC7/ii48bDwWwx9WBEAadYcQUv6f8kYoW4gR8rKMGEkcp69e6jgDPjlMoArYMWKJi3VU91jHZUvI4c89TiArIC1+0+Lqd0lReSGP1J4L87J389OKs+bbS8FAcXaLUGLhLQ/Fz90QlKKcE8FSieE7EoXOCD36xRRC50HBTeULemqbKpwSXd7GKhnsBiTKeIS7JlPLhANqspcUdmr7kh14/4HP3NTlwxi6+RCsGibJVhkma/MGiQiTpWI6xnSQrjCsDXJpCi8tUo0ttMOk9MlJYgOtSrJQBT2cGQZUIpQChVxNk0Q8gVpPmuDRJ/x0tsvdYmjeuFYnJjkhUSGl7UNUfv/e/bGjV3f90/PiJS7Om3Kx+ujzFNLPkLOBknjks/Ok1EjClR/VnymdYytQNSccCK1mx/MYf2ciEssedPzuF7rYOShXc5bN6imKq9PQHJ8qbGVwnJJEhf/LZBn/+pUnwfVA1lHJoKENdmXQcBXmDs1tqjSsyqeVElCyuZxYUVyRWUalXXrRCkjb+Fr2QShqE0WzbGHJmQfLYMx6xkCAUWiiEsKW0VWIp7ajlXcWU9xdR2VXyhWiq9aGVEumKhrdFAeUShPHRgvmjVCqcz68cG6Nc/JyA0veh9Lo06DVL+oSRYHrjjRvXb7/ty87Zs2cmTTJ4Q8OLQTh5MXm5iq8aBJZWW5m1y1FvZfsRlZ8rZy3HP8+3ujJrV+rATUV7yxwMhSRRJe2t8pMeSgdRKTMmSbJKwYy9I1wn4uBZyYe/0sDOX7HsnXfuZ79fUBkvXDRvVANNUf4kB9AYOHS5NqSYK2gBkGY1jUQnikSlWjxxeOerBnzyngb7TrsgQ4yQjBIXh7ReJLvWSQrPJEv8ZFAtSae04cBgZ2Nl7y1jS2lAGitbMt0tjf0dRqf+uE4D1DFnbPz1Kjlb2eHHDQxT+n9FSe+nro6GJP2eQTJaSXDbgzcMwtOTDjpCklDz7MRYrctvZg1QrwHoqkwpS5S1rcDVQeVq/VapAU8Di/I5MoUGL44KzE5WU2PgthNZdfps7UClNCrzu1WMkjEqlSeJivns/U32HSq0txTSet95Bw1r3kDBaku1qsDHquQy/V1mvcr5RkXnu07sTMAshR9GDpddHPCml/Y58mGfMFEgHBLhMBQCJ0ntO7JAN3NURIWP8xDYZLpcoIzJU9hG2veoygwsTJHiF6ClBb7OZErJB9clAtOZBJHVMumKLFklUUT676RyRpfAPua3ayPojzTdfgwywAkiCGN7pLJSVueWPehVK2sMrLC2Bl/zZ0oLx+ruMZCMM/cYa2efZ6ydgT1j7hzoqszkhe5WWRCZHXEiNY4shuYrleC6EUfPKX7/E21G0iWboFV0zac7SLkGuhx0l/2ur/NR3b5TN8NUexGLQFPmteIZuO2UJxc/ifmHb+3z1/c0OHLWARWBdoiEy1AIVJIBwOrxPNgcA3nmzRvAyRZc+jVp7DXP2FyazBPXFTbXwi4oLQXCFLvHONCzYFG/gNZey4KWY7grqiYLIs4MDMexZyjVawbn/FLIwnLMYKRpN4vmgXGGLdt7xZsoR7zjHudqmSJSEL/QtlUGthhj7SyRUgW3LiSKrDK4U/G3dd6/V/jdpYe0LO46Id1Q875Ptzkz54NyUmtQpvLEVHzv/PX4jVpju31BoJelSt54UO7RzFL4Mn/kzRBSkcQOW2YDfuLNPX79gx6dyAYExkgCraxtmBSFTiSCQmEXIC/+a7+j0lVoTDrLKWX1jM2NEaldlzK4sffJpOAVIn2dsvbq3W6cGFdLujLIs38jw9e4tJXaHgDsKGjVEjZOx0xNJzhuWqAkhA1sXCVXd4WXtfRaYK6AfrUOz/1PWbxeBe5SU0OWFVPleuNyYX/qPxeALjG5o1NG17k0sXJEr5IqSsX5s6MiHD/i45/zee/H2gTatfJEqFye5E3FY5ZYRXfn16MM67UhXp6NVFiF1Xpnm7I3aK3z7Gaewtf2KPCaE/NTb+tz8ITHBz5rtTgoEiEZaRtwyoScwYsCrOxmFan7sl1pwV1IFmNSNhdZ5WHG5sbah3niJ9XlsvhdmXs2rs3LhFjFz/g1XQP4FWJMtXkqqeJEEMYCp+bK9Cwahe+qNJrPLLy1BL8oAbv8C6tfX5vR1nhjZWkiTekNj4E7O6K7fGSgKrsOuiRVMhCXmFwW1YHV5zj1vSOWluGvv9JgOcjAbQHuSqu9HVGVJ5X3mu16JTznsC7hu6y1c6mSfqNS1Td+9KIeqxOXEqUVOh1IOeElvPXVAz55f4PFngIZgVZEWD2eVRnmgKsstRdmcpsHKpJCWX1KFmyaNJto2dsCXWeL36xRj7IG2BFF6j3H0ip8sQpfMKYEJHneYBAovEDhtJqKMHCYbDn4vj33pbxlQNH+RPlrpZu4VpDAC4B7TWmyFrBFVZrIPLAsNxhUg8psOE0B7qTC2gVzZ6xdsLfbiPnc3TUefqaOLmlv29SQyZNqvUm5Mq7CMOPb7AuSeMqeuQ9eSJTxZojybJDESJQpfPE4cXF0zEuuDPnuFw/4s897oEIQEiMEgXZQQtjJYVmgKQpQj8uVzBo0xtq1GbMrWcgoI0uFYtL2R5YrKo0xFZmy5iO/ZibV4yUpVTIrCl6t4q7Et9VdwUCnJ5GuwJlqS4gl0xP2mIpqjW3pRoxryVXMXv2l5Ru81iquZLxkFTBV9ja5RZgfVFoCuFTGntmpLLM7qWdsdXUG7qRwTKQuTmOT1j3x3YgjJyUf/FyL8z3PllJKO+jdjqgrt6WtXqhruktfX50UbJ4BqsTsFU+4FGyaSte9PT/HPtvjTzY0E374u/vc/4zPkQsSe+6eQiMZCVk6RMoGnRmoRf6GSwuuzOd5NjO9D2U2L4M5K8bKsqjCOh/l2vBqoq98inK5xc4K+QJXmToogDl+fYsd0RAECYudGByNM9nUmMgw1bZpzjipHvO2Zt/lGNjHt4+1ggY73J58G8+AnGvu7OdKgM7tQZUBfgzk+Yzs8ddJPjQyY3FHlnS3THBSW9DzIoJE84cfaXPf43UbgkvHam8pbdeOKOav5O8121nGdq5xJi/fh/I1W53BLFyL4oz3cvlsuYzWtptlR8YkiSaWDip2eMV1IT/5ji6/9IceQSxtBkpL4tRVkdkxkCJ7F6ICHIxtSaP0/uznohQbpN31JrMHrUTLFkDG2iZd9Fa6lPCQZX/XiN0sftKdJZO91WxUCdXZU7YL2i77bj+i20/waglOzdPU/YRmLWEUOci4iNzLN2Ec4JWXY1txAWxTAXuV/cYmWZWGyJSBb2WJLth87CFze7CYgFoJLmUhS5x0xnUeXMoY14u561GXT97XIAhdqDu59s7ZOwtwK/JkDeYuoTgHe2lbHafvcmFTMbqsDG4wqsj2lWvFEy2R2kqVDOhx7FBvxLz1FUPuuG/InY8qaxsiQUgi4TDM7gMgTNpaVpIr9rSZqiY3KYjyuhSZvs+0KSL/XKSltWINoJfZ21Bh8IokriiBdAGuwl22s2TP9pFoQxwbhiPNMNCMQo1Tr8UEo8T6x+kRWHk3fU77guo/vZZcyVZdlc1X665SkoQSE5ZlSXrgqxJV10Tm56mnLkqe3MmArEvMXQJ6aZh7rr2lnRK70jd87v4GB87V0i4PWxIrMu0tKE2QMqvAnS/a/G8uA/rr6JPseqbp5sySqz5EAe5Vw4GKGhUpFVInSO0QBQ57NkZ898v6PLzPoxOm6Vdt9XiIIjsHogrukgbPedMmd/IFKa3bkoMaG1hKrFTRwv6b40DXuTQqVQoyVr9Twg6V11mcIMrQrpBEXiagTT6dK4hgGIBz7Kyi11V0+som7VLwjc8brIyMqF6HygrLVmE1DWsqYK8EaJUg06zS32UwZwyfSRKZD2bPQG7GwJ2eTFB6zsDtOjGahD/9fJ33fqKFEY71vSvsTaG9K9bgaqC/UDC0JsZLsqTCkhX9nTH56lY2naXttUYnEi2tL66kJkpcpNL81FsGHD7r8t5POkRxAXKNIBASpbNBEim4y61tOaiF9QGxm0Dx5UyH52sTky5+UvBLUQBdCJPLlVV4yOK70oCpAk/lZhGT47H8urA3yWOBVlOyZb3LhvUeTn/o0B84DAOB46aeZumCFx7tCwB8jKwKK6j0eQnoEiiO4y6kSKbJs6lJIh9FXGhvIVY7JjIDtxqXJ9Uz61V69ozV4BGuF3H4vOST9zTp912oq9Xsndd8l5wdUSR4yrpx/HUG8m/E4SZHd1kOZNe8OlnVpE0HOdBlBnSJllaLS+kQRQmtZsxbbh3wxa/WOXwuTSrYAdUkQjC0e419jzoFtynAbnJQp24JafInW8SZkyKK96wFeQWjEVVy0yJtTK5gQoxhRRT//gsCLauZoSKfs+UpJfiupJae2OHU6x5x6KSTnyyAioWSAbtsZb0wwAvtVGLycoBJCehl0I+zdjpERpVYPJtoqpQd/FgMZi/p79JxG7IkS6RMHZOUyR0nJog0dzzU5CtP1O1wcOlagI+xd+7gCFENhlmdPs6ZfCzA/EYfZTIZr7zT2tpwmUwx6VEkVnfrQqZoSSIkKpFooYgCh1dfE/Lqlww59QWXQFsdnh/viMNIYLtsILfmUhsEk84VUTl7FXo3O2jKYHU4upj4amRWgFVOFoJIbcdqkqckU0rBrsj/s/pClQPysqzLPpTt0kAohXJcnC1btq3Mq9EXRyvq70qR2DeZMXY6r25cF35dEi8xuEjZ2gLbVJg8W20ZsMvz7fKRvDmwM6AXZaNl50TK1Xq7bAdmqXgpbaeO9GLufdTj3X88QWKcwjmRCiGkPQdIFGn5KoOXHZ+12fubSGJWCGpV6WkuUQq5osmmXtnkjxaFo5Jrcmm9caEd4ljjeQk//yNdDpx2uPcRifZECln7B0RaMSSNG3IEpUyenXBQ+kMKLzzdbbP3Wxr8QxaEirR3X5Rqj0RhSRpKgTklCzCTLWtcrKqqSAlgDOQmMvieg+s2vrh1y5YV9c7vnu6r5PyRei35SUxUdPFURnIVdSlZAFjORFYLpErjBGRJX49XAaZdOBXrLz89rBxAjiVz0hrvwhbUpeM2dKq1dUmWJKWEju21PL0kePcHJ7j/iaY9lEfadjSkiyMFdQm+JD3kyqyu3a480gbofEhOdRhRVvMu1VjDdEnXF58XLVmFTVqtqLQnapfmnlTukal+z8C6mRjfMTz8tMfKUI5tNTKfIi5KQC/suXGgfTPbkqjo4rKMKE8sryxqRJWJVwXbxZhne2BAdpiWbVdLtLGnfccQhJoYn4PH5374ngeePeC06iFCCFyVoOM4Pc0qi9BNOoDG/qPSFMye/wHZn1WJgM1q1i5tR7lzUpn/XTolYEyayHHNnbF4BdhlJ6UcWKalsOnrxEv44Kcn+NTdTUxNgUhLKIWDkLLSb+msYu8XtgfzGVZizXu+ygM3Y5+XAWFfV7vtxzt8dDo/0KTMbYwualSERGpFIhzkMOGttw15/qjLe97vEPpxxag32iUgrZ3JosasrU0U9eGA1eQ6zW6m7F4EmSlrC+uLm1SeVD3xwjqsdtcXafoXuoQVmZxld7UhMcX4Z60NQQSBNqjInv7nRLE9dk4bO77MDlmUxNogEolI7JvOayNKj2q2Z21PXI5Lk3EHRZgK84wDOwe0yHzvoqulfLxdxtz5a1kkdWRec5Jw5yM+f/yFJqMknYIvMmswzVoKU9Hea6bmy0Bn3AatPn8j9qucbFDahstzU8ZLaI0sZTZlyVkRyhZmybQ4S2oS7eC7mh95Y58Hn/K48wlrF2beOFKgjUOQpEFnpsUp0vGppkgDy8weFKjUEiyDXIpsIaQFVxWAF4FgBmo55jpVnBRRWviUwZ1VXKYD+xNDnJAO4cT2FjsW8I7BtmAI7CGnYIgTg4xlClRJUrKPirahF9igyi5KKcCUY4xe1d7FQUaFzEmTOKI42Uut0uFrsHiZvWVSBJhOxCCAX/mjCY6e8TFOcVpyRXtnEmkNCbamY1L+WhnI5Yj7BUBedgByZi9t3UXxVVmPr65N0TKtOJRlFleIRCOEgww1F22J+Hc/1uHBf+3TG6V/jJb5+0qkPYvTos6+CXvUTwZ2QKegJsO87fs0aXCZjjq0AWdWfJXK23JNiklKr8vBZoXBx65Vjr/s4LNUniSGKLHAtsNi7SG3Wmu0MTiNxjrLYHoZES+jsZ0iCFXdJjOmSf+IUsHZC6TtVweVVfYuznYphqhXv5adB5NbgfkiWC1NCtekdDpv6nk7TkScwO9+vMUT+2vW85YZcxfOiSuqskSJ8R2oBPYx5k5Tg5SHbq7F16uYfMw5KZNIsS2L4lykcrWhsAyeB51aWpAnEi3SR5JKFa259tKIn/neDv/lI5OESUq1kKGRBEWgS0GnBDezEDGFREnZ16Q33KSMnbO5tIvDZAxdTvBkbG7Gdr6yHZ/tbWO6rggss5a+QnuPYsEoFkSRZtOmCTasaxFFCc5FV7wBqdqMOg8xvPAE0GalXydJasT52SvWIoOsPHK1UCrPf4YxYFAFe1HLUT7AaLV7Uhw6+gLsncoRWZYllUcaWNYSvvyQzwc+3qIzdK0HmHrepE261jkpspblUt6yDi9Gs60xg7ASlon888qlWoO1V+G9AvQC5FXWzqbCmhT8ZalibcREKqTRtl4lVrRrmh9/24DHnvO542sKGnEmnLObRqwlI7KYwlqG6JIWT2nWJnvIgW6EyDOdRhfsnD2q5FaMgKg6KVUWH1cKlbqd9LVOZUkvEMwPBd1hxI+87Hq+67arWVju4Tx11KNeq3H4qMv5ExFvvLFDqy7oDfyKLVjxufM/tMrgIlutsIq5x4FdjfrTLGUJ4PbI6DVALnTO0hXmVhboslQlKGWMdGL2H3f4/Y+2Obzo2ZYPUdLeacWgm846yZ2NtYLKjKjHPx+3vFbvsNWLVbK6cpCP6e4iU1cqSx33yEtgzwuxjM4PlRWZVBHGSpXIsHs65h++vcfx8w6HzgiMUxZYAqRLkoKcMZBn8sVoO0qEEpObVLKYEmMzBnCTEoSkqEfJ/nlKgM/DgLX2wPRvz96xlNadWR6B4/V46w3neONNXa7eoxn0YhxHeUw0FWfn2vzHP9rFwVMDfvA2OwYrjFJHpUQ1ZcayXzCVVVcuoJElVi8zdfk8xYyphciOpqs6J4VMqR4pPZ7Mydg8a2yQMsbzY853BL/y/jafvKuBcVWRjv867F3Ufa9OyZfBvVZSp3J9CkaoAL5CTGNgz762uialrMMzQJs8w2kyHZ4yuBTZ6zT4FJo40bjSuiqdQPJzv6W4sCLAr9KtwSE2klFJg1dALgq5YiSoTJ6kQEfY8liDFUHlZ5FOLS5LFwMII9aUKmsBPfuakvYHfQc2Tsd8/2uHvPUmj5npBsOBj058nMmaZKrln988Kb706qtmXnf6hM/9T7rs2Chz4FVdgWoavthaTBXk2WtZdk6yBM8YyCuyRFelSiZLhNXclsF1obPTTKWUCVLF6WtbaxKi+ewDTb78SCOtNVE5sKvsXZwaXJ43uGYxVela5K14JWCvlm5robr6tfK2W6Ts0/JUnToXlfoUW/ZqXQ6RD4IXIk38pM6KlKWaFSkRacWh7xhe++IRb7plwJ9/URHGwqZtcxa3iyaWYhXIjbb0ajCpXUiqw0362qJZ6jSNn95nU7qWJgd1+ZqWjAkjKtdtdQCaOTF2QGzDF1y7wWfb5CynFlrImeaXGjON82EcoH7v936Hm2+5eaXhy5XJhv4BE63QqNXSo+ig2jw8HmyZartZKRlRnbj6Qs0LRT9ltbakVNtd8rzlWsxd6ojPdbcTk0jNp++r8/+9d4Jj5/y0iaFI6NiaE4EvoZYOsnfSMXDZbPEimVOMhrPvvxjMn0+5FSClJD9WRVSH9NsRB7KauMmcuvFH+RqXa9BLWrZIrtm66rzOQ66942SIEQLQhul2wmUXR5yaUxw66aDLCCytWCNEittiAEaeWi8ldcgW5Gq+XTPeqNTdlL4xnuwpM0YZh1KQH+jbqgtadZduX+K3LkK6k//8+PGjD131opfaM3qmWwmum7BuElamJK6bZYmKsxCzt1rW0+N6G0q13mUmH5clJXtw/Lzzsua2bF2VJ0VAWTB3Buzs2XUTji1IPvDXTQ4c9qGlcrckT+xImUuTvM+Sam36C3bMl4GT3XhRDSjHt9Zs98t+Yq1kj2VtPZbwGQs2KT7P0vdS2HPdpTC5Ny5SfS5EocOlyLryHaLAcOlFMT/ylh6PPONxfD4zsSnoMpUhsRSMDLbmpGQ2kJ7ABva1yf5/XfLL0ytkZUpRazLuolQYvcTaWYZApvRdvr75bHghCCPNfBDTuhDh1ALCqHQI1Zbte6nV6gxGmmPHT+ZXt5KpzLYIUdXSxZa9lmtSXRBFQDluD+q0k6csV4qETgbscoBZBX2CElaaOE7CUk/w23/e5p4n60WVYA7sQpp4YrwdrejSUaLKFuPB5QtahRXO+eY+yqw1XuNcPGeSxYIslyki7YeseOMSIQyJMAhtXbDMNhRC2WUkNMlAc9u1Af/oXV3+4x9Jlofp+8g0hbavjVHEWjDK/vDUVcmrDlOJolKJYlIpk8n6LIg0uR9enPqwCuxrgBxTGiyU3ptxWtfG4DgOF+3aztVXX8lwaP8YCdCe3Miui/bcceT4/LvD2MXo4uxDUQZiaWxDMZCnXDdRPT+xkonMtHWZpceTOKpg6bIskXK8OlDnGcqMubOEzkgY/vATTd7/8Ra9KC2kygCe6m47u8+m5LNREPlcbaogrtqdKVOX5GoVzFkDQZkVvjlwV9i5BPBKBV3JLixS9yVgl5wVe/amTfpk7W3ZAE9tssFBDi0HfvJtPX7qrT3qOgadgI7tw8SgI9AxxhhiAyMNgRFEGiIjiDXExp51H2uI8+PA08O00qRMVtduU+uiKAHRxffy1+lzoqtfS3S1Rt7uatYmBVg/Uwe9/O69e/fcsW3bpgLg27Zu4j//5n8aDAcrxxp1Nx0mXy2QyjRptTakfAhotdy1Cu7q65ypyzUkOVubPIlTLIAqc8sc3Fm2MkaqGFzN80dc/vKOBt0onYxJOahUFuCk0iRn7hJ7y5LeLYG98rocdI/9bAbsarz59ZFetKuNWYZ2L8wBXF0EpabkvOtHlsCetbjJ0hAhlYNea4nRijhStBzD97+2z2WXBMgksalGUwK5SUAnOcgDDWEK8rgMcmOH9sd5bUjmzVvgjwM6MUX5RwXoOYDTBaLLoDf5v5N17+gE4liTaMXc3NKx3/2d3xjMzm4sJArAm//Od+H5NZ57+kGOHnwMz3XwHJ2fjJB1rVdOsc1vZtlZKeSIYA1rcA23pMhq6pIG13maPkvm5HKklIbPPndczdNHXH7m3VM8c8jHuLKQJZn2Ttnbk4Xv7ZTY+4V7LteWJJXEjqD0WUHt35RcMdWXVV98nL3Twjedbvn5NKz0FAZhA1xtpN3mjbGvddZ4kMoUYcf1IQwiNFx9ccTv/dwKP/mrIp2HTuHtaZG/NihiRHqebLrblDKZxWCYtEki/TmZdgYVxQHZtclqyU3+PVP+fipVjH2rRf9nPgDfoIQmjhM2btnFK297eSpP/lUV4O2JKXy/juvVUMpQ8xJ8z44Xtk0GptKRMW4XrqW7q8VVVc+7zPJCrA4qswWwGtw6DzCVsAkdx03oGcEffLLJk8/7JGosmSOzrKW00iR1xRRfh72zRVoB+thYiArYS9diXCN+A3lSwXgpi0kpsKyk9HNmH6sZNwKZTsLKDhMwqS+elc/mYM+Arg0JGkcYrr0s4B+8pc/P/xeXXpK+d52u7jzbaUEeZe5IaiNacJvsIGVUXqiVvv/0xLWyLpfpmImMLLKWs9WBZnopTd6PkXr+RSLSlYZGvc7szAz9wSC/rjnAlXJQjne41awdmZ2p7fbdPr5rcnBXui3GblwWZAKlRTAG8BJzjzsohSbXlddl50Rm1YIiZW6RVgm6CYMEPvDJJh/9cpMgA7Mss7f142QKblcYyhOq1sxavpCDUqKf/HXGRWuC+RvJk3H2FjksxnW4TjFUZnR7KFQB+Mw5kSnghREILRFC22DTUmD6NYMgZfPE4AnD2189YN8Jhw98okU/wl4wnVJv1gAhgYzJM5Cnf3wV6AWosyAzY/Ls/8sJI81syqJ+sWgT1aXrnV7S7N5EiSGINLPTDfxa/Uit7h2O4ij/FdmuwIaNm1k5d8+Xtm/2PrR7Z53pVp9WI6LuR/henB93XfQ/lkY3jAWjIstI5mn3FMhiLIlTsQW/AbhlCdxpKt5RMb0Q3v/pJr/6R23mFrMMZTmwLDKWGXsrYceRVTt0yjOoS8FlepHGXZRVmrwkSexjfD7hCyO8DOTK1/JPBeND4MudVnlgmQWo41/LWt1y7W3HTGitSscVOsSJYuOM5t/+WJcffUuflp/Ykj2TlPR4ps3tUdixgSB9xFoQG4jS56Sks/NAU4tqwDmmuYt4IjuEq9DhcSKI0gH3w0gwCKE3Esx3EvBmCE3zQx/+xH1f2rx582oGB6jXBVL5n5+dHry5r8JroijOZ3DYaJxSb2BaEFAqvLKMULYGSyyeSo4qe6enFZQdFVG1/3I3pQLuVIP7hk99pcGvvb/N+WXXDrmRY9nKVJpktqAjzKoB9nmyiq/D3CWfe1W5QgnUlfT8N/tRymjmafsxqQIvlLovsp3aCHuMtiiAXWVxk1uIwqQPrfLP0YooMGyaSvi3P95hsSv50OdaUEtSBk//cCmKrKVQxLKUzMnOF8k885Imzy9J+jPZ5xnL5v9kZWuz1zSffVJxXCRxYghMjfMD90m/Vv/8KKpeeFn+ZP2ONzGc/+j90vQfrfuaZn1EvRZS8yM8N8ZVOrXyTJ4qLUD9QuAeK3stNSrk+rvslqi1wa3Gkzo1zeEzDn/2uSbn5rwC3KJaBmsDS6u5s0dmC+ZFXxQZxKxuXVJm4/FPLODLDkoF1N8ccb/w18csw0qjCQXjF/ZhdgxI2QsfG/dWcVdK3fjZKOZ0kKc2ijiUbFqX8K7v6rN7WwBhxthxyUJMSg6L7azJmDzMGbxwWGJTsHrG5BXLr7KAq5nOzDWJ07rvIBYMIkknFCyMJCPjsNIPHn33B758/0++67UvDHAAr7Ebt3EJ01Oa6YkVmrURNS/Ec6N0eHwRKBY22VrgZsxCHM9Slj3wUn2JsDUmq8Fd1JkoT3PkrMP/+3uT3PVYDWqyYO0x3U1JmjhZT6gokjlrzfheNdhHlqTKuEwpCnBKTL6W40KesRt3SbJVsWpOSgn0hTU4Zg9auVvq+il75cX5NZkvXk4GZUC38sX641o7aO2QjCSvun7EL/9Mh4u2hLbo2pTkyguAPEwfUQnkhR+eyo5vBPI1wJ4Yu1CiRBDEgm4kWAgEC4MIXwpuuHwr1126SDI3fgAALhBJREFUdRVhOONfMBNvxnGc8M8+scg1W+/lih0CqOfyJEmr1lZtOyUdm2c8M1lSylgWVmPmklS1ttXpq2VJlshxXM3xOYdf/P0JPnpHg1CkyRyqmjsDeTmwLLP3eHfR6tqN4hmoyJKKUyJWkfvaH+VvjtF3rsFLz+VUPWM3v+gRyyRMap1lmc3URbGnmtkT0TL5Yt0TQzZ73DoqVqJobYPObHn5juEdrxmSaPj3vzvJiXlRICaPekt/iFYkQhBmafpMrmQ+3xqXAm0Dz/yfW8NeLccasRYME0EnFoRhyIt2zvEvf3CGl936mjBJYt73698A4FptZGam/a+Ff8XlqCdvc1SHmqdSveNAXM2m2ZtffvOmAuoiwCzXnawGd2YHCmEzllIkeWo++77jaE7MO/z870zw8TsbhDI9ek3Ikjwpe94puF9geM+qqkGqjdCrgsmcqAvXZJV8+WYCy2/wkVuBpjhaZJUOLwHe2tnjjgoVFifT4pkeT1EqkPkOnBNWCvg4AZeY73/dEEfBL/zOJCfmPeuvZmjMPPL8Q5GkXxOA0KnRlzoqQlK0QOZ/sP1cinK1TnEpM/kvsCzej2EUaYhCpiZbXH/N3rt3bd/xrzErq67lKomyeXaCO+67q7tn54ZhzVuPMeB5Q2pegBSGJLFdH0mm8YrLUrm/WZKn3FQs1gJ3WnNibazU9xYl0AvL3NJJOLsk+be/m4E7LX8V48DO5IkoBZZUTwDGVNyStUYi5wAeY+212Lp4bb4xk39dZK9mcMYYHGw9RjljWZY7egzYuRYvOym5dJFVTW7K2txmPeNE4STw9tcM+f9+psOm6Sh1Vsrp/FL2E+uuJHptuRLnkiR1U6gu2DLuRbqGlCyOao81BFGCl/TwpSYR00kQtw48+eTHu0JOrbqkzlrX+SXX34ox5pnnH3vwle/97JmaUYIrtgl2rlcMRh46H8FrNW15QL4FRrmoqmQJlgJKUQa4SFJ9niZ1yro71eSJA+/7dIuP3t4gzGpXV0mSqjTx0kylI4oey/GMZQW4smQNjjsoJWSv5Y0XS9yuhv8RIi/LkBzTlaROtaOHMRbXpjg3rZLtNGJMj6dMnzspAmGktbd1maoyZyU94zsBh4R3vH7AgWMO7/5AmxjS4UApTebP2bZmD2YNM7Bq2wSBEXlVIdjDqgT2fVFWAum1tS6XwQVcKRhEmlsuX+aqHSsY6dCNtjx9Zq7/M1vWN9e8tmsCfLKp+K33v/9fh9H61/zOR3ZdlySCl16Z8L0vd5lo/f/a++4oO646ze/eSi/266BWq5VzloOcgxxkTBgYYAZjmGUOs7tD8DEMafEMMDAYnwUHdrDxMCbDGvYc8BgbY4MZcFhsy3KQjaNkWVlykGVJnfulqrp3/7ih7q1X3Woly5i953S/9+rlel/96vt9v+SI+e6OCOMTMBCHG6eVVDhfXaZ1bqKsdywdzTjh4CqQQ0RwBy5w19o8brqrgIbOCMxSTBwNLpN3K4cyqSIy0noNFSWda9Ji0WFbb2IAGqnHThjcY20kBviRpi3EcFRbW00oDs44N9JmiW6fpjvWJnU2IITKA4AL0DMn+TwUIIzDj2O878IqHtvo4vcP5UUgxwR3+stwBzEIZANnTVfUGG4VsaSGDGhUSOrosqcGAFNgRg/BX50X4LRlJbhujD5M4RzV+IQTPzhxgAPAuWe8FdVq/aan/rh7Yf++V4uVoIAX9niYxmOUCgB8gFCmnRgCU0mBDvQQYmcEtjqWJrgTKZDSCI7LQF2OXz+Yxz/+WwXPbQ+AIJVfkpFr4hnURLU91m3YkAK6xie3B7mmnB2rcMDi3K37zlQLx8N7Vqg+xUwScJOEt7bkp+h2DWaBMrcutR7OATACIlALImddMlmXSOBkfGYOwIEDjuVzm/jGpwZxGQXufLAgdqjyS9NOJwesiCfUewOgXA6NkgcisY8RRR8VPQk8gmKOYGqXj4GhPJ7ZUkR3d9foSWdeeJPn5cbcx3SsO1Yunca3b15//bmnLdzf1UbQVaFwHCCMiOx8JayA9cNqa212qTKcTMJtsGvnMgPcDgP1OG5fk8fnvlXBczsCWQ3fSkdM602JnEZsUJKElqi2c62qSSbfNuhJGtNpEB8W9zYBb/HwhF8jDWrjcZYeroM/aZlQRTBT2w2urjINhSaecHHBx6WE2HSwZFaEqz8+hHecXRXidBxLHp6SD1kMNbM74kAo/xLJMOHjusCd2we+LmxwANcliGJg7wDBnv0evOLS/c8/v+V64s8aK6wwtgUHgFNWLsXw8BB2bV+PwG0iF6hxFvZSAR0oPRwG/7a4OEv4t6GQ2OCO4bgMxOW4/YE8vvDvFazfJsFN3ZTFdmE6lZQmxcMqmaqlgBgGB4dBQ5ABbhPEKekwHeCxwG0oLWOjOXmIKROK26aCIl7L7JGi81RAUtac6/IyxcOJ5t5mjxWScHFZa0OoeDw4TTIQdQ2ok1hoAGhGWD4nxNc+NgQO4DdrCsmHNykL1HUXgINQfmWHy0Gxkper/BrldDqp/aH2EWMcjWaMwWGCUrGMStdClErlcXczHe/O3ik9jXzOvWTZ4umjHSWGYo7B91T7BglsExiABWxKmEFRDI2biIgoIa3gpk4MuMCda/P4/LfasH6bL8FtRiqT4gX1R6is0CFGvkkWqNMZg1kqScZlC34lqom1MXnghLl4SjngGfelqQw3yKodECFJvgpsS6/aSqQDQHYOObXGFcaWFaeIuaMtetykWDEnxNUfH8LbzqrKQomUJVfqirzk0oI3pLKSLoRInOZUJJPLtmwRUK0zDAw14eV7RpsRvaRr0pTGeLt3XAseh8Ns9qxZ6ypFDD1y/+YiY7E4VTgqiSrh2lb6a0Zud3I9rZSYRQvCofzPh3O47HrJuX1T41agNoFOdHMeV1pvnSFIDWoyFoBT9+tKeQLofif6sQkx15Qkbckt/TBF5DMwbRsqybN5xuP0Kdzk1olTptUUaa0ZN51KWBadGKoKpAMq8kwMS65yV7TlFtw8Nr9LE1g6O8TXPzEEzgnuejiPWN2nclAslUU4tiGXjr/U7dXMTca4bAttdPGSabFxDDSIaCtYDx2cetpZQ9OmzVz3yqsDDOOscS14R2cXiqW2fQ4NL5o9b1nou034HtMAd2RilJVzYoBbcXCHmJyb2RZb/zFwB7j3sRw+c20Fz+1MgTutnEhaQiy9W1ATFzJiCbMy3dC8kVh0DVKDj5Cs7bAPjlYGYpU72E+a6GrRvO2DgKPVsmneDWJYfKIv7f7udj6K4uncyDrUVUCyeVBaI+dqPmfsCmveJFg6M8S1nxrEeSfX4FhWO7IsuPhjiDUfJzpPRZe2mRU/DEb3WI4wAkaqEU484biwWgsvqlTa9k2eNGncXTouwAkNsH/vLpTa57w0qWfRtlKpCEoiu/xM/TlmY56kEscxOLcJ5iQzMBS0xAPuXhfgH/5XBZt2BqJRSQu4UwCnCbg9wo0yNKOtgiULGlZa/9mgTyy2nT2YZYx1VQ85OByPg+0WisLTjiYANXkDPM3Bk9P7WLkpnKUCQbojFrWTsFSOijmuUKbXapDLvBUWUiycGeJbnx3EBafW4Cin00yxzUqzZZKqMJlqqwJCRj0nU1SGAWEYo1wu46QTFm9bvnT2S1u37UQu7x86wMWP6GDglft25vzahyf3LkAzFD+BnqpgNMEUZWZpWdBsaawOgEhbcdcX4L5nXQ6f+kY7Nu2S5WZK724Bt6NRSiUtUeCmxMwUTDuWfEJOpWmds/K/x80gzDThB4HwDMAn1w3tW75Ji7SotXLbaqdvM2Zy9KyIp+LhqRHiaZDHDqLYFdsaFAunh7juM4M4/5QqaBSJ1D8L3JHm6aq+s2lY8ljmmkQa8Ektp/juMY5bsRgDI9GHb7597U7HcXCg5R7oAV3d09GoV+EH+d1Do8UHGNmxKmYDcB0uBjy5sZ5o5qZaPFhJVCm+7dAIXhBjVx/FQ0/lcfn3yti0MwD37ab0mYqJBLfQu7nhVCZ5Ji2WOwXmLCcZqcdq8MgNCYbHQjDXNiMdHBoP05xnPMhQS0zECxWFWcEdtV08JeHmuspHRjCT7ap/ityu5gBJHg9GQSnTdZ0MzGi1LBdNinyISuQOgUUzQlz/6UF8+XscjzyVw679PuAjiXKqhBPZ9rnJiRgkq15H7zXxYQk4HErgsxjTetqx6rTFD6w+78zd1WoNxWIBB1oHtOAAEOQK2PL841u8oHz9tBmL4dIGcr6o9PG9CJ4EuSors/oHOnbHV0pDODSGF8TY/LKLK26o4BNfr+D5XRLcOlKZ5tw2uJMU2MTBVKpJMhrcdiIzC4cVsIExnVDtSKYfa1p32AdGchhM3Jwn0Uk7N6MljVb1PoOy7MQCvE1fSOrP5uYmTTHHhltKipmzoqcrqxxyI5dc6uSLZkb4t8sG8KWPDWLBtAbQUHQltFtScCZmWjKgwYjg5UxU6zdjgnoM1EKCWhMYrcc44fil6Oxou37N2ke3TATcwAQsuFrdk6fD9dvW+XTwts7i1neTcAMIodBjl4GWII5dEW9Y7lyMLbtdfOU7bbjl7gLq3AX8dFQyI4HKsNw6FA9bErTGbRMYXDwBoN19C1YEU/1rpS2GmbVkE3MvSUhzpB43jhWXL8sTo9UKegPc6jm2qmK8jgawKDIWDzFua4vNjeuSvzPRao5J5YPI9FvOqKgYMi25WeEjT1z6YAuBno4Yf/u2KgIP+MoNbdj6cgAEMKqBiLboEae6L7noXksQQbw/40A0GuO8kxZg6ZJFty1eOHfdvr6hCRuNCVlwAGjvnAKP7N05dfYZnyxX6B3UbSIXDCPnN+VwVUPnbmnxkMyH94IYW3e7uPw7bbjl3iLq1JXhd7OlsepEZVtukgZ3mo7QJKkqCeaY6QMK6Hxsi43EalvQ5a2t2Vp4+IHQPN4aSwuHYbEty20AP6WmtFhumFab6AIJxpPmnUkPFcGvxeNUpiHJtOSJyiIcTmXRGXMR1l0EDLhodRVfvmQQc6c1BCdnIVp6rhiRzkha8Doj6G8SDDRjFCochfb8HW9Zffont7/Yv3PG9N4D7c2DBzgABMVZuPMP9+164uULn3tw82yEfAj5oCnTXQGVYagUE61zOzFcN4Sbi7Bjr4svf7uCX9xdRB2O3XlKjxQxnEvZJNMlostvYIBbAxzKEielZpb+nQaxYZ1Ny66Qm1VYbGUStmD5QDLKISCeJ5SlBdCAxb+VFTWdUAHcdHjfKF5GIgumA0K2ZKgkRSomR0gnMzacziS0L+TDOHZF/8OmgxwHLr6wissvGcSs7gbQUN2y1F8EMNGPMZaRzJgTNJnI+S7wAXzkXQG+8onlz27cfteupQunH9RunDBFUWvlijMB6tXr0/vqtf3b3VxUcxnLgzEKx4kleMxuVGI2ZYQYjz4T4Nu3lnDzPUU0iUwRg5eiJuZfEsQJiNC5PQPUetRIRgdWk45k0ZR0VQ70QWLj0jo40mDOYCxHavH0dW5s04XeRiahoidEJlTJMQtJll7S9gxyjLdokMn18xg3ukMw0SmXMSboBxepEJzJvt8EMNNboZxaopM1AEoQhgSeG+PiC6oA47jhljKeeD6Hhuq7won8IBQcYhisJ/xo+LSGRXMLKBSW3DRn2nFXAy8e9H48sM6SWlddeQUKeazr7Kx/8xs/2nt2JYdZvhx9K1ofC4vtyZmUnheigRg/uTOPj17ZicefzyEkLuB6EI3ok/nwdpOeJLfET4E7UUwScNsKihGmN9sRGweCHQAyHme0RrZGllAirxPjQFKzQ+VziKhoT8abEP1HrdutB1u6sqhVr4dV6J0u0rAir6mDPLlM+xbcomOJD5LcSJxmYtxOLEICcdvd5ty+7gBYNjfEX59XR98QxcbNLkIG6Mg0dUApRZ4CBZej5HEs7iW49K8qa16snf7eR5/YMLLq5PMPGuAHbcE90dpzdOOGp0b/7qL3hjs2/hIDIy+iUmrCdSORpC7HZQdBiCqLceOvi/ji9yoYGPHEhIWWnG47I1ABwgS3WWaW1FW2cu6xaixp5g+eVlRICy0ZSwkZK0/lUK14kvdNbMsIJIlZ2s+VbTsU9QDXPrClpiCx6jCsOE/RGKqCQ4Dq2WOE2Knep0zfZuBE1K2JMSRqPg/R7dyo3M44gSMpj0MjTCrFuOqSAbiU4cbbyxht0sQH46K9R87lKPsx5k/txIoTLmoeT2l1xYpzD2m/HjTA1Zozdy44Z4+iecIZfS/vy8dxJH94BteN4HtNbH2V4/YHSrjyxxUMjPjGXEpqqySydwlgSIA0Cblb5WYGoEkmuI3bNA3g9LiVDFCS1qtpi9iyyLg3D3olfDtpf6a2a15ugFnTA6mogEi+oikKT1Qa5YTCUG548i7mqHatpshkEqV3EyKmf8SqJ7n0f9TBJDR5Bk4JqLTgVEdGI7QXY1zx4WEELscd93Ns2UcAuOCOC0CMJizlfZxx2sra9BlzHqX0oFxFax0ywINcGWFj9J9nzV/Fm9XNn2b1p3KUcARehEKuiUc2EnzlBx2475kCGrGczJmZLCVTXUmiZ6ennTnKgbQAbN8mRE5hNxOnYGYSZlTOA62WHLBO1dqatwRjxnEsDwXhloU2+bYhnih9myjuLaw9BxILriRBkvT6S3LHVW9x8TaKcytlRfBvruAsPgpTtcVUzN3hIkUDsUiq0yNKwCHmYTIBcCpUGIdTEELBeQzOqQR6jEouwlcvGcabz2rg8h904JENDmLqI3JdhFGMJQvn1t/5F+dc5/vuF8ul4gR3Yus69EMDgBcU2Us711xeKE25plie2gy8Bor5Kh7ZCPzTtzvx+3XtaEQFwM0BNIAYIaIuXa2QOFTkVeXkOBFfjRRRXWBVZYcaKZIFbsNCp0vN0rjL6m+SNt1pa916PS3mZb/XhBc/0P0k8/E65J56iUz1BAbQkQ4AZbRqtvJVpJoi1ZWYq37jSYGEuh6rQFDsINKXoh95FHlohj7qYQ4OCXDhyTGuuaQfZywdABo1VJsMc2ZNbc6c0XPN7b998PJyqchwGOuQLbhaxdxwk5HJVwXFrua+V+kVP7jTp7euaceTW0tAwZOekbKlijfA4tkqzTWz4yuBkUOSPVpENK5XLeJsd4ca9wGJQwbjMWPlhKehag54tSdiZixyECDPDNW3bh8rtG+qK1oVgaQLUvNXgBXXDUpCElrCGHS9ZEvNAicAlYUQRks+QpIzCoGw7pyItFequDlRKbpGp1vGEUUenCbDqYsjfPMTQ/iP+5q4fd1c1tPbc8WM3p5v7Nwz0MRhrsOliwCAnZt/iu7OYNlv17z81Ae/9KRTDYtwA+EwMkC3OQASnqzSWsWMnCQiqQsSYILb1rNblAYYofgMTk4MRSXrfnFfom6Yyosj1RwiH5MMkTKUEzVQiiRDp8RrEGObfI68zzFUGpW7roYOJMMEoItLkuECMJqXquvGc/R3Zfo2MYaBEeNxKp05PZYm6Vym6lSV2iIrtOQ2pJ6XjGW3+1Ca7bE16gxnglAg74cYqTXw4I53xa+MLDo+cEfXf+T97zlsbB62BQeAGhYh31ne7BSmX/qBd3Z++zf3PE4ZE+VTTTkFIORJc0VPWmpttYnRUs20zsjIIbEuuQ1041LTDCOSqfat6Vua1rqFlhgmIMOgt6wsB3S8yp5Mw52xMe1c2k9WDiWSII/pdBII6yndVcXNzUIJWM6sCN/DsOR6nymdnYjJboRzOY9eFp0TLmZ0ciJndTJwqvwBBqZSOyQlinVElGCQE3T0nMHOP3X5pc/vmb+5u7jnSEDzyAB88YJT8fATW5rvetMZP3zq6e2FlfPar928fQ+446EREdQiUaYUy1OkUkZcYle8m6F1sxhBFYckDqAdas8sQQNaKEfWn6X3ZhwECVKNq2OClhzWKXEsptLi5CqlRFXZQ2UTGq30jDwUNYJbgR6w1RJCFLzFa3JOWivkzc8ks/ygwS5BTpRTKyLbIkNRZJhyebYxwR2GHsLIRaPB4OamwalW/sfcuef/cEXu+bit85QjAc0jA3AAOP3E+dixa3f88f/69q13zZkyfOPPf1/es28IhLtoMgISq+ijBLcaAKXbGPMW6qF2OYwfLm1t01Yd5nYytvVWi2T8jQU2cjjoPdSVwbe19TW+AwAtESaW27yz1YoT2BxcvRlTTYGYoDJcWmuoKKl8DXW60WdS2RKZU7FN1DDLyCcFwAR1AQc4o2iGLoarLgjtwORpbxrunnrK1tHhV+K2zsVHbPcdMYADQLmUx+DQ6B0Xnnfyx8Dj6269457ODTuHUK17aDCatDCm0CqJOWUhATa3AGsuYgF/HCcRGYA3XwcY19oqB+p1uQxrrRxKM389gatNRwhSVlwCNrHfyikVR4eSD/VWU8bkySvqM6A8IBgX3FtZcP17ycRvh8YAAUZrPkbqkzF/yeq+yVNP+VTYGLnDDUpHdFcdUYB3dbYDAPr7B3/6jrec7Xa1kasfevz27utvH8bAcAmB5yCQoBYg50ZxsO1I6p1i/q6GybLACxvYGMN6I4OekAzkj3VwvS7WWBydG6yFJDSCm9eltZWQtNQUohQXnvBxYll3aL3dVjSJdY0RLiw/ZaCMWyNL1KSOfNDA/qEQazZOxarTL9w7Y97p/xSG0U9L7a3tjw93HVGAq9XRUQGLhn/8ptVn0fby+it/du/a7v4hipiXQAANbi+lEqSdPHPH6lxpc++O5Xwau70F/GNcpq28hSOCY0NPstY4px7Fwzk3gKyoifxullMpeTmQBHhMSgMo59UGebrowvpskEqO7HnicKGcEBkGdWgMQusYqjLQ4qK98xae9vn+wejHk7vbjsruOuhkq4mur1xxJbypJz6xbU9x71nL+8/pH9ibf2VvCeWAoOiJ3tOeAwly2UGUJvJYIuWR5HdV1jiLe1sOZ3q2e/alSpQa2wkllqRoJUpZCVVIXZ9gslXG58m6nd6uDjg65udO7RflSJu3W05cJNm3SJ5sH0vpZp40ySVnSV45R1LTqYJHhBA4lKGQb+DRjSHW7Tih72/ePOUyGm/48eSppx8tGB4dC67WFy+5CJxf85NX9/U2n96S+85TG0fKRQ8oeByeK6hKlvqhFgd0JQozLEa665F5ABDTITVeL9Nqq+vjkvGjuYeO3lJyo7DaUh0hiUUnkDWcKhCkn0csp97k2VnlbroqyNiXhCV0M2YElDqIZZ+VKOQoti0eXvvA8f/wy8cKP1/zo4uP6n44qgAHgM9e081KBfcmN9cdrTp5/417X9iea8s7OkdC7RStmhiAYrJ1AGFiHzMkDlUWyGHcb2nhWZZN/3iwuPnhLQ6eOiI0N85YR+XY4Qa9MvJRxGdJ+LXFQAwlRO9E2LJjug9iLK12rPqrqO8kZRblUyVF2C6aIUO5fUV96byuD33/s9VbeDzAun50NHZCso4aRVHrobt/hdNXv5+7pd6Nszv5ht4O953VkQHXkZqgqqMU48IB15GRQAI9GydJ/UyKa9VqiXBO4DJJxkp3rkorMmn6MhGKonLCxRMPRFH0Z1K0LBktpLdbFAVI0aYsx9l+HlruV7RPWmt9nMvt1KaDyWVS4hbHFFFMxUCEWNyOVb6KojJyJn2j6WBgmCAoza/nStP+dubsyi8H+0k8ec6lRxt+h5dsNdF19WXvw6Lyvnj5sqW3Ll847YPHLZ1dddSob5VU5RIELoHvAYEH+B6Bp/rcy0/ZWofYasnTFCSdg5JQoRQJTT0fGe+lt5nWzNhmfZYDJU+l11i0K+uLqQeT7JfQn9n4kHrkjLqEbTQEeO1Xa4klGB64CtY0IweN0EG96aDRpGiGFGEowc9FA596gyMozanCm/7BxcevvHXdH/Nx7/y/P8gddGjrNQE4AHzkv/8NooGt/PdrNt08Y3rvh2bMmD4YxoJrUErgUsD3gJxP9F/gETGlBGqwqWjnlTWVK71aKAoywALDsqnfbhxgZgM4+wkHhW8y/va0LzGWkNKyTeV/IwV+GIDP+s5cnSmSHBNrFLscMhVFBI2QotZwUGtQ1BsOGiFFGBM54obD9xi6e6YOdnT2fqjD3XTzPXdv46eefdHB7J3DWq+5C3XDd2/EK9UO5Nzogzwc/cazz27o6u8fQKngIOcTeC4Vc845R63JMVxlGBrlqDaJKMqWBFMXGpPk1K4r7FOlaBYVgEErkM3PLYVFPZcapWk6sSpJ1NKXMtkqSc4aP9nKVI0cR23jxmOM72MkWBHjtq0aGePT9XcynXnzfp5K1kpArNrvkdTrME4QRQ6qdReDIwGGRl3UGsL4OA7gexz5gCHwmiiVKpg+c8H+jnb3M20l9pPHn3Ww6oL/8pri7ag7mel16Uf/DgDQ1zfwE99z3V/95+Srfn3nvd0sHEEhcBEEDjxXAKHQjDE4EmKwRtCU4Db5tkOTcLNeY3Fq2NuB1GkXyAiLS7UBkDlCXFfEENV0JMNEjOdYZi2TSunb6cekZT3Cx7dO5plNRYCM6KN6tq74Mb6/2C9cW3HdNVg6kJ4jGjwNjzrY2++j3hQHr+8C+YCDIEJ7WxvmL1m1t2fm2Z/jLPpJoVQ54liayHrNAa5WZ2c7BodGf/SOt64iOZ9cef/993XzaBRtJQf5gCLnA+UCR0TqePIlB7UoQN4VrdrUQFdABBNSxd2tgR/LSosflo6BDiu5CSnMZ2bz2dcFBcjKZJnYskcymgckhxWhlQ+wnUdD9SBEs2odVicJyJmskNItI0gSshf7JwG2k+pB6bsRwjjC2mfa8OxWD6UCEPgUOZ+iVmfIFyqYvWjV3pnzzvg8B/+R6x0bcAPHEOAAUGkrYmR09IdvOu+0qLMSXPv0Ew93sKgPpXyMcp5h6uQa5s/uw5M7HTyypRt130XZJQg44COp3nEAHUceN/BhqCIAMp00Yho6JCqw0alBl5DZNZHSch+M9SZj3NSfrzUobn52aYNb/AvrpJRk0sI8IlUY3prgZini4oBxHNFk1XViuE4M3wtRzNfwxLYIP3ugHaQeYloXUAgISgUXs2Z0Y9kJZ/XPmHviZWGMG3O5Qy83OxLrmAIcAErFIqIo+ukpJ6/sa4zunVcpTr2m/5W1nusSdLZV0d0xiiWzHDy2uYxaVAJAwF1oHunoHyd1miemnJa0egCyAWjSCvN0rWmKkWutk44McJMso22cDsYiFFmfZayzkHU/0gdv6h1k7rb+GJKKqEgll7WWUN33VJW+fEbC8UUrENeJ4bkRfC8EpQ1s3EXxzE4XvSWKwG0C4HjXW08Kezpz/7h4yQlbPS/3G9/3jjW8jj3AAcB1XbZ/z6Y7Vq++0N+z+7kqpbhhpO+PpJDbQ//PPRT3rCshYgScRKjHLiiILlBm1CYEluNJkkqdNP82KYha+kCB+EfU9DKlxxPJV4k6rUvgpkl3xmsfaOn3zLwzSX6ypbvUpfVi9gfQs3uQnGU40WlXwggYubiqgMGhDC5lEtxNuE4ESoC3nNzE0zv24ZZ7p2DB1BJ723nH8yWLF378uKXz//e2HbubJx6/6BijSqzXBcABoKtnIbZtea7p+T0/dXL8D1Om7n/v7evY/7zulv14aaANnEQgUQOMM9SIDz8GApqEoQHxo+nsRKOszMrjQPK7m5TEjKpq+Uw9XoJaJ3yZy6IssqElTTA/Hh9PA1KBHFKx0A4z0sBOLHu6m5emNYZEqCwz40TzeaUQESPdNSaQvo36PKLczXFieF6IwGvAcyNEzEFnKYdL/6KKBdM9vDIw919OOX7ezdNnTHlhYGDf6wbcwGuog09kzZ2/BDNmzqn57nOblp5SuKqvtvKKVcuX7lvUwxt5r47ls/pQdgfBohB1OfbCzIEw5UJHSnPJGOhWyRCwuXTmtAT9ZwBnLA0+aT5ibDuwJdfATt22aAhSl4b1tuotieFAy0tm5I/ETE5QkFp1JKONMTOSpmSSlDAYove77zUR8jo2vBChWg+xfXcXuLs6fs/qpVd8/T+WX/XU1q2bZsyYWVu0aOGxhpG1jnqo/lDWt7/7Kzjt/417XmHt8N6+65Yd13vG1HY27+q/70NbYQhr1xdBXQ95ShA4IivRd0QCl+eI7luuYwKbiNZriourN1JAZa0RS1uSM/RzSAApjRxJ+zYzfE+JnVGoNPF0hmJmwyLjYCVa8zY1clnDak67I4k+rtUirhpwkmQ+vGq2ieRS9c3Vfo3D4boMnsvguTF8L0Ler+HaW/P415/PxklLJqN98qpGW+8Hvj5r/qovfezhN/Nzz/vAsYZN5nrdUJT0+pdP/zUANLe/PAQAj/e/ui2gwzfR1afsOONff8FchydDRMUUABHydyW41Tj7JC8EdsiacTAiwM1MLRhK806COkp/V3Ia42JCWAs9Ec8GYDuqmatFDZFvbEp/yKYndqcAuyoekIBW4UhQOdBJgTv5COr7aUoFAkopXKY6ZInXjmOCap1j4wvToplTZj00dc7b2YJFsx4ipPbPL748ihlTj61SMt563QJcrTlT2wDgC1s2fh/dvfPL+zbM/t4Fpw1evGX7bvrC/hoCx9eTcLUFdwHHERRFWUzNu5kcUQcCIn9IxrigO9wGFFSzdohIph7LZ3JrSydE0tJYOaPjfDdL8jN5eOp+8zPpaRU0UTmoY84t5TJPRFjoCFxUrsciL8QM0RNJ5RgVZWaKlriO6E7l0hiBP4paswPcW8Te+5bZv9i1r/yR/7vumeFFS1Yea2hMaB1aNOIYrT8+swOFQn7Srhde+uQvf7dm+WNbB969edNLmD/JwaQ2gkJA4LnSgquwuMm3uZhuwxgQRhyNJketATQjLn58uUN02J/aXN68ra63Xprh+CR076gsSfV6jpFFqV7PUSF6bmyX1x1joh3l+jZV241+JpwLjt2IHNQaDuoNmoxgN/JPiP6OXM8/9T2GQi5CpVTF5I796J3Wi77R2bfl289/tqOz95thWNtXaFtwrKEw4fUnBXC1HntmEyZV8rPuXrfjuqef3frubRvWg8TDKBddeJ4YWOpIukJpQhm45A2MAc2QYaTKMFTlqDXFZAEzBUC3inNskAuwJbkljgFwxbNFTokEs9MKctPpNYFucuvk/RSYDZA7MprrMHldXDqOnC4NIGYU1YaLwREPQ6MumqHIFzH7FALivcTn4TLfJkbeb2LqlAALF85G15S5t/ltyz6FaHgn8ZYf65/+oNefJMABYMfL/fA8d/7657YeF9VHPrlj2+ZzXti1Bfv2DyFmFL5HEfgUVCZuxTL9UDlgjHPs3h/juZcYYiY6mnpUOKyuA3gO10B0HcClxACjDWwBYgFqE+xZFtx15Ou0WHBunBm4tuiOtrA8uXTEpasALqONnhvDdUXUkRIgihxs3NmGl/cFiFniwApaJn0JAgQ+h+9zVGsRHK+MZUvnY+GCufeXy8E3K11zn2ZxtMULJh/rn/yQ1uueg4+1Zk/tAIAtnPMtAJ697z7We+ZpS7/78GPPzV/78FNOyQPaig6oQ1CvMzRCQaZdV+RMtBWA6b0R9tRGsO75HNqKPioeQ95TFSmJs8eZnJfEbB3clgghKTnXBbnc0BGzIpk6QklSl1mPQSrQYw7idZTaESPwQ+RzTbSXRvHw8wEe2pCHwx0UdbameK1GE6g1GAg42ooEHRVg7rwT43LXgi2BF3905rwzdwPY9LptnTHB9ScLcLXkD7CpURvYFEXxW6oNd9pJK1f+4ukn1rZ5/MXiq30jGBxxETMBMc8lKBcJJnfEmDejgRXz+/DVn3lY+3wPSNHVk5qdmMjeHrLNcGru+1hL3aXmwqsG82aXHh280bq8dByRPKb1e5qOpt2DUFh2EW3MB010lIbx2NYQV/+8C/VBgvlTmuDw4FIXOU8cbL4b45X9NYCWsWD+rNFzLzhriMXhRX5hxkuE0J1/6sBW608e4GoF+XbEjO0847TOF/oHRpZNquD0Qr75/XVPbIpq8a7ObTtfLbM4RqngIB/EKOZjUAqcvJDiAxcM46ntJYw2Kyh6BDHnsmGoPJVLaVB1MzOwaoXIleMmWjAYzedBYEU0rRySRPprCdWngkSmNJhulkklfckFIRpxHTfdW8ETG8tY3MNRrXOMViOU8xTtbeJgiEn38KIVs/sqnQvdStH78JTeOQ/7QXEQAHujgBt4nUUyD3c5lIIQwvLecH/v1Cm/KxbKC++798Z573/fxV+dtuDk9aXK5Cc7O8r17k4fxXwdccRRa7i48KQQZy+roRkaMh+SKCczOKuJuNbaRa6rjRiX0puUIa3nmYEb2XhU1WQKxdGsWrfTCBQ1STrAGjuAcOT8GI9scPHbRwti5gAYBkdjMBIgVyjVZ0zrePL8c5asf9vb3/PVn//ytnmVStvC7u4pv3vh5aF+QsgbCtzAG8iCmytfmgoIg1vdsn0XAt+9hjrONW8+d4Uzuat0Q3txcGFY3XT23r39TsTqKOYJik4DhDG4snwu7ZDFACjjYFKVSRQXYoGMcy4io0ZSC6VJIElFQk15TpXl6axDLiYsgHErP0QEtFS1TZLyqqrb45iCM46h0RDVhoP2gocZvTl0Tp4cn7JizppZvaVNhI1c6rr74yDI4d+v+Rrv7plXPda/19Fcb0iAm2v+nJlAYj+jONz7Eer6HSODJ36t8cwffNerx9T3Vs6Z3XHSlM0cHh+R6aOObmYpIoBcBkEgZUipjDhEF8zETEiQjEHr0YCoOaUMcOVoEVWOptMJnKTPYMy4yJzkQpUBgFiO+3Mo4Locniu6t4r34ojBMRpyRCHQ3lZBV9c0HLe4/fFGNffHU06Y6bz7nW9qdk6a9IVGo9E/fXL7sf5JXtP1xjofHcJ6ccfN8D2cc9/T3ps3b2EX0bi6aHi0hgcf34yiE2JopIG+kQicE7QVKDrLDsoFgkKOIvAoXJdI3ZmjGTE0GkKSFJ2cANclQrL0KPKBg1yOIu8DuYAj8ADPFdyZEI4oJqg1KJoh0bKe6wCBz1DKM7SVQrQVasj5dTBGUK3nwWkB7W0xgtIyuF4ene3O8/tG3F88ubXwe8/l91/8l395rHfxMV1veAt+oDV99nsB4P49r/bdf85JeCCOo3k7Xu5jj23cw1bM75hTrHR97vH1L8JxXLy6ezdGqn0oBg4cOMj5ARxHNbYBRvo5+kfiJC/GlQoMYXAdOeiJiO2+CwQeg+cJi+w6IuweRhT7B9yktI5yNJoRKGK0FWtob8+hvWMaGItBg3nYu2/kqpK/a3vvvLMo9SZTz3O2VoDfLTuu81jv2tfF+rO34GOtZ7ftQSEXtG/avvucPzy0AZQ64bTO4NPlgF9YLoiw9vatz6A6MoLhKtDTBdSjEdz9aBNDQwylQGQ3+i5BLiAo5By0lVx0tjmolIBinqEQxPA9Bt9jKOVjNDnwwDMF1Kt59HS6GBqNUCqWcebpJ6KYJ2gvR2grhnf5zsC1jDOvNOl4ePnp94M3Bgideax32ety/dlb8LHW8rk9ADAA4HYA2Lx9NwBspIh7PBeMxREG9+8Aj+uoNoG2EjApqIerzznr8r79o+/gLAw9V9CUwAd8j6JccNHZRlEucgQ+Q85nYhCAEyOXczzq5X99412PXT65WPICzwU4hxcUMHfeEuRyLgKf08DDHg5szxUPbmb7n+v6/xb8CK7bfrMGhJCenS+8Umk0G9xzRWmd74kIainvoL1MUc4LahL4TMqEMfzAJ6XylEHO+Z4ps8451l/lDbP+HwlzRIqMds63AAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIyOjIzOjU5KzAwOjAwrPEdCgAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMjoyMzo1OSswMDowMN2spbYAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71897353
{'hecke_orbit_code': 247697979538939440, 'n': 1, 'trace_an': 4}
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id: 71897354
{'hecke_orbit_code': 247697979538939440, 'n': 2, 'trace_an': 0}
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id: 71897355
{'hecke_orbit_code': 247697979538939440, 'n': 3, 'trace_an': 4}
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id: 71897356
{'hecke_orbit_code': 247697979538939440, 'n': 4, 'trace_an': 0}
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id: 71897357
{'hecke_orbit_code': 247697979538939440, 'n': 5, 'trace_an': 5}
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id: 71897358
{'hecke_orbit_code': 247697979538939440, 'n': 6, 'trace_an': 0}
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id: 71897359
{'hecke_orbit_code': 247697979538939440, 'n': 7, 'trace_an': -4}
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id: 71897360
{'hecke_orbit_code': 247697979538939440, 'n': 8, 'trace_an': 0}
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id: 71897361
{'hecke_orbit_code': 247697979538939440, 'n': 9, 'trace_an': 4}
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id: 71897362
{'hecke_orbit_code': 247697979538939440, 'n': 10, 'trace_an': 0}
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id: 71897363
{'hecke_orbit_code': 247697979538939440, 'n': 11, 'trace_an': 5}
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id: 71897364
{'hecke_orbit_code': 247697979538939440, 'n': 12, 'trace_an': 0}
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id: 71897365
{'hecke_orbit_code': 247697979538939440, 'n': 13, 'trace_an': 7}
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id: 71897366
{'hecke_orbit_code': 247697979538939440, 'n': 14, 'trace_an': 0}
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id: 71897367
{'hecke_orbit_code': 247697979538939440, 'n': 15, 'trace_an': 5}
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id: 71897368
{'hecke_orbit_code': 247697979538939440, 'n': 16, 'trace_an': 0}
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id: 71897369
{'hecke_orbit_code': 247697979538939440, 'n': 17, 'trace_an': 12}
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id: 71897370
{'hecke_orbit_code': 247697979538939440, 'n': 18, 'trace_an': 0}
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id: 71897371
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