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mf_newforms • Show schema
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{'Nk2': 2916, 'analytic_conductor': 5.82109430735134, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [729, 3, [2], [1]], 'cm_discs': [], 'conrey_index': 244, 'conrey_indexes': [244, 487], 'dim': 12, 'field_disc': 1952986685049, 'field_disc_factorization': [[3, 18], [71, 2]], 'field_poly': [3, -27, 108, -258, 420, -504, 463, -330, 186, -80, 27, -6, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 27, 81, 72, 117, 63, 123, 45, 45, 15, 12, 3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503737099879129, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 27, 'hecke_ring_index_factorization': [[3, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2916, 'analytic_conductor': 5.82109430735134, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [729, 3, [2], [1]], 'conrey_index': 244, 'cusp_dim': 126, 'dim': 60, 'eis_dim': 72, 'eis_new_dim': 24, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 137472508633, 'hecke_orbit_dims': [12, 12, 12, 12, 12], 'label': '729.2.c', 'level': 729, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 198, 'mf_new_dim': 84, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 30, 'sturm_bound': 162, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [60, 0, 0, -24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -12, 0, 0, 12, 0, 0, -12, 0, 0, -6, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, -12, 0, 0, 0, 0, 0, 12, 0, 0, 6, 0, 0, -24, 0, 0, -24, 0, 0, 24, 0, 0, -18, 0, 0, -12, 0, 0, -18, 0, 0, -30, 0, 0, 48, 0, 0, -12, 0, 0, 0, 0, 0, -132, 0, 0, 54, 0, 0, -24, 0, 0, 48, 0, 0, -12, 0, 0, 54, 0, 0, -36, 0, 0, -18, 0, 0, 54, 0, 0, -24, 0, 0, -18, 0, 0, -30, 0, 0, 12, 0, 0, 30, 0, 0, 48, 0, 0, 12, 0, 0, 42, 0, 0, -18, 0, 0, 72, 0, 0, 0, 0, 0, 108, 0, 0, -96, 0, 0, 96, 0, 0, -18, 0, 0, -204, 0, 0, 0, 0, 0, 36, 0, 0, 84, 0, 0, -30, 0, 0, 42, 0, 0, -204, 0, 0, -42, 0, 0, -54, 0, 0, -96, 0, 0, 96, 0, 0, -54, 0, 0, 96, 0, 0, -18, 0, 0, 24, 0, 0, 12, 0, 0, 42, 0, 0, -30, 0, 0, 108, 0, 0, -54, 0, 0, 108, 0, 0, 12, 0, 0, -42, 0, 0, -54, 0, 0, 120, 0, 0, -54, 0, 0, 156, 0, 0, 120, 0, 0, 72, 0, 0, 0, 0, 0, 120, 0, 0, -72, 0, 0, 24, 0, 0, 120, 0, 0, 48, 0, 0, -72, 0, 0, 120, 0, 0, -54, 0, 0, -96, 0, 0, 12, 0, 0, 132, 0, 0, 54, 0, 0, -60, 0, 0, -54, 0, 0, -78, 0, 0, -120, 0, 0, -84, 0, 0, 6, 0, 0, -240, 0, 0, -60, 0, 0, -132, 0, 0, 156, 0, 0, -120, 0, 0, -54, 0, 0, 228, 0, 0, -66, 0, 0, -84, 0, 0, -348, 0, 0, 186, 0, 0, -54, 0, 0, 228, 0, 0, 54, 0, 0, 180, 0, 0, 156, 0, 0, -120, 0, 0, 162, 0, 0, -144, 0, 0, -54, 0, 0, -54, 0, 0, -144, 0, 0, -126, 0, 0, -18, 0, 0, -336, 0, 0, 162, 0, 0, -132, 0, 0, 84, 0, 0, 132, 0, 0, 78, 0, 0, -312, 0, 0, 108, 0, 0, -108, 0, 0, -204, 0, 0, -24, 0, 0, -96, 0, 0, 192, 0, 0, -108, 0, 0, -96, 0, 0, -204, 0, 0, 66, 0, 0, -108, 0, 0, -216, 0, 0, 192, 0, 0, -48, 0, 0, 84, 0, 0, -84, 0, 0, -72, 0, 0, 108, 0, 0, 162, 0, 0, 72, 0, 0, 120, 0, 0, -120, 0, 0, 108, 0, 0, 312, 0, 0, -54, 0, 0, -162, 0, 0, 228, 0, 0, -174, 0, 0, 78, 0, 0, 336, 0, 0, 36, 0, 0, 180, 0, 0, 192, 0, 0, -126, 0, 0, 162, 0, 0, 144, 0, 0, -72, 0, 0, -108, 0, 0, 228, 0, 0, -174, 0, 0, -108, 0, 0, 192, 0, 0, 42, 0, 0, 264, 0, 0, 156, 0, 0, -120, 0, 0, 48, 0, 0, 384, 0, 0, -108, 0, 0, -162, 0, 0, -240, 0, 0, -180, 0, 0, 90, 0, 0, 348, 0, 0, 48, 0, 0, -114, 0, 0, -168, 0, 0, 42, 0, 0, 60, 0, 0, -360, 0, 0, 216, 0, 0, 60, 0, 0, -168, 0, 0, 30, 0, 0, 216, 0, 0, 228, 0, 0, 90, 0, 0, 192, 0, 0, -36, 0, 0, -138, 0, 0, -108, 0, 0, -60, 0, 0, -108, 0, 0, -84, 0, 0, -276, 0, 0, 222, 0, 0, 90, 0, 0, 300, 0, 0, 222, 0, 0, 300, 0, 0, -420, 0, 0, 312, 0, 0, 12, 0, 0, -780, 0, 0, -126, 0, 0, -162, 0, 0, 300, 0, 0, -138, 0, 0, -138, 0, 0, -636, 0, 0, -126, 0, 0, -114, 0, 0, -420, 0, 0, 312, 0, 0, -162, 0, 0, 60, 0, 0, 48, 0, 0, -240, 0, 0, -204, 0, 0, 396, 0, 0, 54, 0, 0, 12, 0, 0, -162, 0, 0, 276, 0, 0, 24, 0, 0, -84, 0, 0, -108, 0, 0, 144, 0, 0, 24, 0, 0, 324, 0, 0, 228, 0, 0, 42, 0, 0, 36, 0, 0, -120, 0, 0, 108, 0, 0, 54, 0, 0, 228, 0, 0, -54, 0, 0, 78, 0, 0, -72, 0, 0, -108, 0, 0, 30, 0, 0, -312, 0, 0, 228, 0, 0, 198, 0, 0, 444, 0, 0, -162, 0, 0, -186, 0, 0, 336, 0, 0, 96, 0, 0, -108, 0, 0, -840, 0, 0, 36, 0, 0, -246, 0, 0, -204, 0, 0, -228, 0, 0, -108, 0, 0, 444, 0, 0, 84, 0, 0, -24, 0, 0, -456, 0, 0, 174, 0, 0, -180, 0, 0, 564, 0, 0, 162, 0, 0, 132, 0, 0, -204, 0, 0, -324, 0, 0, 276, 0, 0, -564, 0, 0, 30, 0, 0, -78, 0, 0, 12, 0, 0, -54, 0, 0, 252, 0, 0, -108, 0, 0, 216, 0, 0, -216, 0, 0, 84, 0, 0, 234, 0, 0, 264, 0, 0, -876, 0, 0, 108, 0, 0, -330, 0, 0, -204, 0, 0, -282, 0, 0, -18, 0, 0, 408, 0, 0, -216, 0, 0, 216, 0, 0, 0, 0, 0, -282, 0, 0, -216, 0, 0, -348, 0, 0, 42, 0, 0, -240, 0, 0, 336, 0, 0, -138, 0, 0, 24, 0, 0, -288, 0, 0, 156, 0, 0, 216, 0, 0, 120, 0, 0, 12, 0, 0, -30, 0, 0, 516, 0, 0, 54, 0, 0, -126, 0, 0, 444, 0, 0, -282, 0, 0, 258, 0, 0, 552, 0, 0, 306, 0, 0, 276, 0, 0, 336, 0, 0, -252, 0, 0, 162, 0, 0, 552, 0, 0, 216, 0, 0, -210, 0, 0, 480, 0, 0, -198, 0, 0, -180, 0, 0, 300], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 34704120
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737099879129, 'target_is_minimal': False, 'target_label': '729.2.c.b.244.2', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 34704121
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014535981990617, 'target_is_minimal': False, 'target_label': '729.2.c.e.244.5', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 34704122
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014535981990617, 'target_is_minimal': False, 'target_label': '729.2.c.e.487.5', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 34704123
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13510798915666649, 'target_is_minimal': False, 'target_label': '729.2.a.d.1.5', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 34704124
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 33555161, 'target_is_minimal': False, 'target_label': '729.2.a.a.1.2', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 34704125
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737099879129, 'target_is_minimal': False, 'target_label': '729.2.c.b.487.2', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 34704126
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 28, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573107, 'target_is_minimal': False, 'target_label': '243.2.e.d.28.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 34704127
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461619, 'target_is_minimal': False, 'target_label': '243.2.e.a.217.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 34704128
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 55, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202611, 'target_is_minimal': False, 'target_label': '243.2.e.c.55.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 34704129
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 190, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832115, 'target_is_minimal': False, 'target_label': '243.2.e.b.190.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 34704130
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 22, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461403, 'target_is_minimal': True, 'target_label': '27.2.e.a.22.1', 'target_level': 27, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 34704131
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 46, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461457, 'target_is_minimal': False, 'target_label': '81.2.e.a.46.2', 'target_level': 81, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 34704132
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 16, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461403, 'target_is_minimal': True, 'target_label': '27.2.e.a.16.1', 'target_level': 27, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 34704133
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 37, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461457, 'target_is_minimal': False, 'target_label': '81.2.e.a.37.2', 'target_level': 81, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 34704134
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 190, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202611, 'target_is_minimal': False, 'target_label': '243.2.e.c.190.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 34704135
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 55, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832115, 'target_is_minimal': False, 'target_label': '243.2.e.b.55.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 34704136
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793573107, 'target_is_minimal': False, 'target_label': '243.2.e.d.217.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 34704137
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 28, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461619, 'target_is_minimal': False, 'target_label': '243.2.e.a.28.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 34704138
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008573677830576, 'target_is_minimal': False, 'target_label': '432.2.u.c.49.2', 'target_level': 432, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '108.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 34704139
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 97, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008573677830576, 'target_is_minimal': False, 'target_label': '432.2.u.c.97.2', 'target_level': 432, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '108.95', 'twisting_conrey_index': 95, 'weight': 2}
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id: 34704140
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 151, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007955202540195, 'target_is_minimal': False, 'target_label': '675.2.l.c.151.2', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '135.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 34704141
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 49, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.49.4', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '135.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 34704142
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 124, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.124.1', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '135.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 34704143
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 49, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.49.1', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '135.92', 'twisting_conrey_index': 92, 'weight': 2}
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id: 34704144
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 76, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007955202540195, 'target_is_minimal': False, 'target_label': '675.2.l.c.76.2', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '135.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 34704145
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 244, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099879129, 'source_is_minimal': False, 'source_label': '729.2.c.b.244.2', 'source_level': 729, 'target_conrey_index': 124, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.124.4', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.1', 'twist_class_level': 27, 'twisting_char_label': '135.122', 'twisting_conrey_index': 122, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1259875
{'charpoly_factorization': [[[9, 27, 81, 72, 117, 63, 123, 45, 45, 15, 12, 3, 1], 1]], 'hecke_orbit_code': 4503737099879129, 'p': 2}
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id: 1259876
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4503737099879129, 'p': 3}
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id: 1259877
{'charpoly_factorization': [[[9, -81, 891, 1602, 2250, 1638, 1068, 477, 234, 84, 30, 6, 1], 1]], 'hecke_orbit_code': 4503737099879129, 'p': 5}
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id: 1259878
{'charpoly_factorization': [[[289, -255, 837, 166, 1206, 54, 627, 180, 189, 22, 15, 0, 1], 1]], 'hecke_orbit_code': 4503737099879129, 'p': 7}
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id: 1259879
{'charpoly_factorization': [[[9, 81, 486, 1611, 3816, 5058, 4767, 2979, 1368, 420, 93, 12, 1], 1]], 'hecke_orbit_code': 4503737099879129, 'p': 11}
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id: 1259880
{'charpoly_factorization': [[[1, -57, 3159, -5126, 8010, -2916, 2166, -9, 486, 4, 24, 0, 1], 1]], 'hecke_orbit_code': 4503737099879129, 'p': 13}
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id: 1259881
{'charpoly_factorization': [[[27, -81, -54, 54, 9, -9, 1], 2]], 'hecke_orbit_code': 4503737099879129, 'p': 17}
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id: 1259882
{'charpoly_factorization': [[[19, -120, 168, 38, -30, -3, 1], 2]], 'hecke_orbit_code': 4503737099879129, 'p': 19}
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id: 1259883
{'charpoly_factorization': [[[106929, -14715, 143289, 41022, 165519, 24561, 28338, 10935, 4527, 966, 165, 15, 1], 1]], 'hecke_orbit_code': 4503737099879129, 'p': 23}
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id: 1259884
{'charpoly_factorization': [[[45369, 233874, 872046, 1522656, 1944441, 714348, 221496, 37872, 7119, 888, 147, 12, 1], 1]], 'hecke_orbit_code': 4503737099879129, 'p': 29}
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id: 1259885
{'charpoly_factorization': [[[26569, 17115, 40365, 43366, 60768, 45090, 27627, 9846, 2781, 382, 51, 0, 1], 1]], 'hecke_orbit_code': 4503737099879129, 'p': 31}
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id: 1259886
{'charpoly_factorization': [[[4933, -3873, 492, 254, -57, -3, 1], 2]], 'hecke_orbit_code': 4503737099879129, 'p': 37}
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id: 1259887
{'charpoly_factorization': [[[11229201, 7660386, 9749646, 935100, 3173994, 832833, 340512, 39186, 10386, 1290, 219, 15, 1], 1]], 'hecke_orbit_code': 4503737099879129, 'p': 41}
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id: 1259888
{'charpoly_factorization': [[[3308761, 13828038, 53501202, 18554890, 7049934, 1051650, 259935, 24210, 6858, 346, 96, 0, 1], 1]], 'hecke_orbit_code': 4503737099879129, 'p': 43}
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id: 1259889
{'charpoly_factorization': [[[42732369, -1823823, 13844763, 3568446, 3685239, 676035, 292047, 64233, 17919, 2661, 336, 21, 1], 1]], 'hecke_orbit_code': 4503737099879129, 'p': 47}
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id: 1259890
{'charpoly_factorization': [[[-12393, 2916, 4617, 513, -108, -9, 1], 2]], 'hecke_orbit_code': 4503737099879129, 'p': 53}
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id: 1259891
{'charpoly_factorization': [[[176384961, 211924917, 177171057, 81666126, 29039292, 6683058, 1362759, 203490, 36009, 4242, 435, 24, 1], 1]], 'hecke_orbit_code': 4503737099879129, 'p': 59}
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id: 1259892
{'charpoly_factorization': [[[273670849, 412665135, 470090511, 212239390, 74262141, 12566583, 1990473, 107829, 20763, 391, 240, -9, 1], 1]], 'hecke_orbit_code': 4503737099879129, 'p': 61}
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id: 1259893
{'charpoly_factorization': [[[8288641, 8999754, 13088484, 1776820, 3918582, 389151, 969792, -88866, 20250, -842, 195, -9, 1], 1]], 'hecke_orbit_code': 4503737099879129, 'p': 67}
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id: 1259894
{'charpoly_factorization': [[[27, 243, -702, -486, 225, -27, 1], 2]], 'hecke_orbit_code': 4503737099879129, 'p': 71}
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id: 1259895
{'charpoly_factorization': [[[-431, 1437, 3984, -250, -174, 6, 1], 2]], 'hecke_orbit_code': 4503737099879129, 'p': 73}
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id: 1259896
{'charpoly_factorization': [[[3508129, 11760567, 29901636, 31666495, 25749216, 2578716, 908691, -6111, 26244, -140, 177, 0, 1], 1]], 'hecke_orbit_code': 4503737099879129, 'p': 79}
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id: 1259897
{'charpoly_factorization': [[[6951057129, -270878877, 879469407, -158730552, 98614134, -11965716, 2847921, -56304, 30663, 330, 309, 12, 1], 1]], 'hecke_orbit_code': 4503737099879129, 'p': 83}
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id: 1259898
{'charpoly_factorization': [[[32589, -30456, 4968, 1026, -180, -9, 1], 2]], 'hecke_orbit_code': 4503737099879129, 'p': 89}
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id: 1259899
{'charpoly_factorization': [[[66765241, -179484186, 528246414, 111313822, 45332478, 4970754, 1634019, 167418, 36018, 1426, 204, 0, 1], 1]], 'hecke_orbit_code': 4503737099879129, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '729.2.c.b', 'level': 729, 'portrait': 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6JNMb4yxFoQpwFLHclg5BN4AmE081OaucmU5U5IZyAYJj4rfcGmSc1SW3P8nKLmB2yagW3zERtnh2yYHbFpdsS2jYYdmxRXbvepqyZHjk/wzacCHtmf8MSxmFR1+a7b2rz5RYa6mmX/sSmOnPY4dT7lbAbug4uGm65e4N+9Y4Xtc5OcPj/F+ZUaS22PlY6k3U3p9FN6AzhwdJGDJ1evfPTAwksOHj930ZGT5754y6u+J7rvjo8+15D4K93+VjP48kqbJDFIya9//dFDL/qF3/6E/J5bDrzoX7z5tLewspHldouldp3ldsByx2OpDcvtlOV2zFI75ewKHFoSzM+v8h9+YImbL21w4twMp883Ob3ocW7JcHYx4eRCyvluwtTMkBdf2+OFV0Ag64Qq5NxyjTOLHmeXBf0RJImmFmiatZTpyQQNHDub0OnBzo0+zfoIYwSIgN5As2PTiKVVD4yVIqs9GCVgMCy3I7Zu8OkOFEIZhB4xUfPZsXnIal9w7LRHqj1mJyStmiD0IUkE/ZHk7LLkzJLh3EpCGA7BT7jlqh4vulowP1FnaWWCE+dCTi/CucWEc8sJp5bh0JLh+Vct8qs/sMKmqQmOn53h7FKdhZWAxVXJcjtlpROz0k1Z7RoWu3CqI1ha7vFff3aYvP1Vza+Hcz+mg9YVXxfoXzT4hLWJ5xoqF7z9rWXw9//Jx3nRLTfwL//lv/q1v/jkV/6v93/4y5fsPbZ60f5TPfniazrs3qJJtAUORmIQ9jkSgUAIgycMoYTTyzXuP6C4dvcyV2wf0qiB70kCXxEEHs26pOFL+j2ffUdr3PVIwLHzIzpJzL4TIzbOLvOGF69w7SVdnn9Fm6OLCYt9QSMccvi0od1pcs3FktVhyp6jilbD4+ljcOkWwzBKGaYBnhcz3YK9J0KUl+LLBM+HwUhy8xV9Bn3JtZekdAYpx0632LVJ0WxErI4MG6b6rPQ6/PlX4LEjKU8cGbJzyxLXXd5heibi9bd0+Z6XGnZvapHGUxw5Ncmhkz4nzmpOno85eT7l0HnB8dWY5122wH/4gS4bp6Y4cXaGc0t1FlYDltqSlU5Kuxuz2ktZ7RuWe3C2p1jqJDz/ygV+6o0LMlTiojOnT+wa9JMXNCZ31euN6S89ev8n+f33fPi5hsy6t7+VDP6xj32SF92wU336y8/8+yPHz/7SY08fVWeXIpaGipM9w9U7zvFbP7nA9bsbnF2aZrndYLldY7nts9zxWOnCSjtlpZOw3E1YbMOJFYFXH3Lr1cu87aURuzY0We1NcH65zsJywGJbsNy2EmGlq+kMNJ2RoT9MmJ2I2bFRA4LQN5w87yNkyM4Nil1bDFs29Dm3MuLxAy1uvNTQqK/w1MEZWs2IKPKZndYMhnDljiEf+soUl29PGI0Mc5OSOB3QqoU8fXRI3W9y/WUJTxyOOLcUsHU2ZNdm2LEpQqmYk4sQ+AYhDDs3Jky3JN1BSK/v0+n7LHcUy6uw1NYst1MW2yln27A0TNmxtcfbXrbIrVd41PwJzixOsLhSY3HVY6kjWG1rVrsZc/cycHcVZ1cTbr78LO/8ySUu2dJicXWS5dUa3dEEYePiNGxs+rXTq1f+6kzjWPrKV7/xuYbOmtvfKoDv37+fWq1WP3365I4nn9zz1iPHTv3HPftPMIgE3SGs9AXn+orTnYQbLz7Hf/nJJa67uM75lWmWVhqsdGssd3xWOh4rHWh3NavdhJVuwnLHcK4tON0zIHq8+bY2r79Zc/HmGlHUYKVdY7UX0O4qVnqCbl8wHBmixJCmoKQh9KEeGqYmDBtmYjx/yKEzEU8eDNFJk9e+IMLzV3l4zyQXbYbPP5Bw2zUh59sDap4iSWNmpiGJfTw/YWmpwYtv6PD5b7TYtRkeOjDCp8FrbtYkYsCTh1KOnKzhyYCN0x7TTUE9FASBQAlINESxYRhBt29Y7Wm6fc1qX7PUMwzSlJ3b+rz+hW3e/KIIdIul1UnOL9dZysmgDavdlHYvYTUD90ofTncUC52U5192jnf95Hmu2lnn/PI0K90G7W5Iu+ez2hF4ta3Um5v+7fZdl//Ftq3bjo9Gw8Gll172XEOpuP2tAfihgweZm58PDh068EOHDh5896OPPy5WVnqyP7QnrTvUdAawOrAgP9ONufmS87zzx5a44ZIai6tTLK42We2ErHYDVroeq11Bu2to91JWuwntnmalZzjfFZxpa6an+nzH87vcckXCzo2KibpPp1sj9CWgiBKJ1gJtoD8EhGa6NeTAKYM2EXc+1GTUr3PJ1oBbr+0T61XueWSK6y/1OXC2R3tlghde2+dLD4dsnDHsOWb4P97UYc/RkI0zkrseUdx6pWK53+HwiRmuvyzinicHJKMGt1wVsHv7kEHS446HFaSCQyc9JhoenoD+wAbVqTbECSA1XqBp9wzNVsz2zSNedGWf77gxYbZZ49zyJEurdVY69tisdATtHrS7Ce1eQruX0u4blvuSs13BYjfhBZcv8B9/bIHrdtVYXJmy4O6FdHo+nb5Ht69o9yAxNX35Fdea3bsv+enduy/5wOLiQnTJJZc+15AC/pYAPE1jGY0Gb/jmfV+4ZLWTvuuhhx7y4xTi2NAfpvSHKb2hpjcwdIfQzkB+up1wy5Xn+fUfW+DG3QGrnUkWVlq0ezVWuwGrPY92V9HuQ7dn6PQTOr2U3kDT7hsWeoKFHsTpiOsuHbBpJqXXN7zuhSMu2qRJUoknDVEMdz9e4/j5GpunE546VAPd4Iptihsu14S1Pg8f6LOw2OTqi5pMTK3wjSd8brq0xlJ/lZWVCTZtMjywR/H9r+jx4B6PbRt8FnttVpZnuOHKPt94KmWmPsXVl/Q4327zwDNT1L0mz7/ccNmOIcgejx8RbJiJObcQc8/jPsNYISWk2nDR5ojveGFEt6fYMq254VKIokYm30JWez6dvqLdk3R60OmndHop3X5Kp6+t5h5ITnUE7cGIWy9b4P/+0RVuvDTk3PIUq90GnV5Ip+/T7Xt0B4reQNIbQn+QMopSbrjxpjhJ5c9995vecLDZqH/WD3z9XGPrOc9kjoZ9otHgB44feei3Fs7unzl1ZpVWQzKKBUNhMAZsNh5AI4RBYBAiRUqPB/dv5Bff6/GmW5d5+yuW2bU14uzSBGFQpx4GNEKfZt2jW5e0Bj6TTc9eMIOUjSPNYGToDkOWF2qcPGGIEs2pswlhaABBoAyeFPQHCoFP0vd43kWC3VsMO7b2GaVdvvCgYu/BaV59Y8gNV67wwS8YAtHgoq19nviGYuuUYm6iT03ViWKf811o1jy2bRQ8tjfihsvqvPT6Rf749gGB3+JVLzD4YZ8vPxDx+fubPHOkzsVbGly0OWV+OmLXXMw1F6UopfGUAQyNMGR+KiSKfbr9gKcO+LY8YaDoDSW9AfSGhl7ffvfuIKU3MHQGhtUBLPQV51YMjck2P/PaBf7hrSOu3dXgzOIE7V6dTi+kO/DpDTx6A0V/KBiMYDSyK0icwL33Peg3mtO/NTu3cfnlL3nBz/a6/T9uthrPKb6eU4BHox4IfvTUoW/++sGnvjwz6vdo1gKUlEgJAgEoDJCXREiMvUuDJ1NCKXnywDyP7m9y4PR53vSiHi+6ashUa4LldoNmp8bEIKCXs85QMhh69Ecew5FhGGmi2BDHhiS19ygJMBqkEvieoBYIplqC6RZsmtNs29hnbrrNFx+Gex/1kXqSV9/o87wrutz3TEw0nODW5wnagwHnl5rccplmbqpP3QsZJoqFTozSgudd5tFojXhkX42X3DDJC6/r8sg+BWaSG68K+JHvWuZLj0Xc9WCTPcdr7JhXbJqpM91qMNmCegi+Z1AStIE9RwRpKogTQZTAKMZ+x1HKYKQZjjT9oaY/0vQG0BnBQk9yvgsjPeSV1y/zhhe1+Uev0iTJBGeXmnR6Nbr9wIJ7qDJwS/pD6GfHbzhKGUWawSjlzMJpznzsCzOjKP3Pb3jdS71ut//e1nMI8ucM4KPhMkLoHzl7/N5fP33kyxvQXZqNAKVSpAAhBFJIhBAIobJHkFLbuwJPGTylqfmCxX6dj3xlG19+tMNt16zyjleucs2uHrNTDZZWG3QHIf2BnwFb2XskGMWSOBEkiV3q89VCSYPnQS2ARl0z04rZuqFPQo8Dp2L+/J4ah080mQrr3HSVxy3Xdnhgf5s7vznBCy6tsWNznw99RaBEyEQrZrU3QhtQAuYn+nS6ATqp84bbzvORzzfYfa7G61/QJ4qXuOfJWeK0xs1XbeD1N3W4dHubLz/S54kTDR4/ErBtRjIzIWiEgsC3F6E9ZgZtQGtDnGQXa2wYxRkQIxhE0B0KVkaC5S4Ib8j1l6/yju9Y5barUmYn6qx0GrS7dbr9kN7ArgQlsCWDUQbuUcpwpBlGKaPIBrupUZw93+FP/uKuDYOIX/+Hr3+xOXt+5X2bNkz//Qf44qpBeYipw8Isnv3UDybR4F2rZ5+ZU3Ro1gNklFoJIkAImZ20HOQSJT2kTFFSZMuzxleG0DPUPcHKULHUnuajdze5/6ket163yjtetcr1u9vMpnWSJKQ/rNEb+AxGHlGsiBNJkkpSLdBGIDBIYQgDTaOWEAYRgT/i1NKI2x+SHDwZcOTkNEqH7N4ccOUuxY1XdFDhAk8earF1qsHVF8Om+RWWOxNcs1WSaMMXHwwZ9SVTzYTX3Dzks/fEHD/b4vJLfM6sDnn6sM/2jdNct2uB+57o8o2nBaMo4IpdM1yxPeSKbV0OnVnm4Cl4cG+DA4ebNDxB6EmaoaHmk616VtKl2pCkECUQpYLeSNAZCjoxRDpBmyHPv7TDO76jw23XpGyeCRkOJ1lq1+j2QnrDgP7AozdU9IeKwUjQH0qGI9s3OoxSC/BIZ+DWDCPDKIJRKlk83ea9H/nKhscPnH/XxGQz+bf/7a4PBuJx/v0//9m/vwBP0yGI2m1HWw++T6z83kzI0lygarQaIaPIMrQSHlKAFHbplZIM0AJPqexR46kU3xMEvibwDaFvaAQpUzVBd+Sz0pnm4/dO8JXHh2yc7vPWl7W5YvuQ4aDH1bsM2zcpRrFPmipSLTE5uKXG91KOnTMcOStYHWg+fV+DU4vTmMhnuqbYMuuxc5PHxVvh6t0dtFzkPZ9tsrw8yQuu8Lh6d5svPy4Qic+GaUmzkdCPA2SWlFJeQHsoOLcsuMo0eNmNXb7+SJ0tcwEvuHqGH/6uRT7w+S4P7mvSG/osrbbYtaXO5Zv73HxZl+9+SZfTy8t8+r6QpX7IsTM+p04F+EogpU10aWNINcTakCaa6dmYa6/qMxrFXLF9xFteNmLDpGKmFRLHNc4s1OgPAvojn/7QYzDKgS0ZjASDkWA4oiJJcuYeRYZhbBhEMIoFgwiGqceZk10eOfSNuZfeMPk7r37JTPzBzxz/s/d+6Lf50e//53//AP5Tv/pBNs7WxAc+/D92rS7vu+yi+X287gUhYIGslEZKg5IaIX2UtA6BVAYlpS0bVQIvf/QEvpcSeILA09R8Qz02NCLDZC1lui7oR5Ju1OTIySbv/LMZ0AkiSbjx2j67NkUkCWijMcYmcaQQSCXw/IB9xwP2HKzRrHm0AslcQzA/K9kw47FlXrFzc8rlO1dJxRK/+4kJjh2f4gWX+VxxUcog6fLNJ0Om6j6zk4apVkSjbqWQ1pL2ULHcMyy1U9q9Oi++epWH9vTZe1wxNVHj5qum+LE3LPF7n4RHDjbpDQyrXY9zyxNsmmuwYXrIztkh/+p7+0w02jxxBPadkPi+QSmDEBow9n8GkgQu2pRy6zUJaewTJyHGNBhGPmcXAwYju6INI1XIt0EkGI4Ew8hKEsvSFtgW3Ja5rfwxjGIYZODuxYJ2LFmJDXF3CKNDU/ONbX/0W//8kuQVr7zpo//oVb9lGpv/32Hy/1cA/kvv+ghXbp9Xyb/94Jvf86nz73ng0eO86oZJdm3qctn2LlJplKyhpEbJAKkMnvKsDlbKam3P4CuJ74mMuRUjXzKKNGGUMooN9VgzijVRZJhIYBRrRglEiWAYS0ZpSJzW2HuwyeN7ITUGC22rjX0JgbI1H60Qrt4ME3WYbEqmW4rZKY8NM7Bj04jN86vEZpnf/cQkhw5PcsPFiou3SXZvW+GrTyecW5rkxl2S6QlNLRgQyhCjBEkqEcaQpBErvRrnlnxuuKLO8y7rct8jNTZOCxq1FjdcpvmZNy/xO5/UPH2qxWpPs9pVLKx4zE01mZ6oMz0xyUQjZr4Zs/OGiNBP8L0ki2NsMGGwF1UcK84veMSJIk4UUawYxdljJBnFklEkGUaSUSRsgBqJjKHtcR1FmijWBWPb92EYwzAWNiEXC1ZjQTcyJMMBz9u9xM+8rcOtVz3W0Ep9cOlIqLvR8z5x5sD7082X/vDffYD/2m99mIlmoJ4+fPItp06c/eOHnjpXi+VGPv9AD8+T/OqPt7lyaxdPphnQTaGv7d3DV8rePYMfSQJPMIoFI18wChRRbIEex4YoSa0rkjj3FJLUkKaaVGP1tqYAtxCgJHgSfB9CT1ALBY1Q0mwoJhuS6UnBhpmEnZv6tJqrfOLrEfc8OcPq4gTX7lDs3Oxz6fYhqVjliw82aPoe89OKVmPIk4fgmcMe12w39EeK6y6NuXa34eyZlIWVgMGwwWtv6vK1JwYcOKVo1iVhMME1F2t+9QeXuPvpAZ+9e46ljmHnhpSVtsfUhGKy6dNq+DTrhlqoCQNN6KV4ymTBuD0HxmATVlqQaEmSCpJEECeSKBHEsbVlowSiWBDFhiiCUZwSxRmoM+IYJaZg7lGcSZKMvTuxpJ1Ab5Qi4j437FzmV358idfcZOgNpul2Tta0mv1TERz6JzEzHzv2zJ+kO6/6gb/bAA88Ldud9tuPHjv1+3v3Ha/NNzyWI5+BlHzmG5IoUrzlZR3e8oouMxMpXZWgVIinUjzl20DSV/i+Rxgphp60zB1LokAQxRbsNmCEKJbWQUhK2y9JNWlq3YXUZE5J5pYIIQqd73mCwBOEgaQWSpp1wUTDMNXSbJwZMT/dJTGrfPRrkg98fpYNtRrX7hDs2Oxz0RbNzs0rfOKbhuXlGldsUkxPQKsRc+6o5PxKSLDLAmJ+UjI1BQeOGFY6mrOLNS69qMYrbuxy+701ZlsQBgFKTnHNbsGPv/48vjzPZ+6b5plTNTZ2YjZMJUw2Fa26olGX1EOPMIDQB88zFuQCpHBAjr2wUw1pKkhSMqBDnBqiBOI4taQQZ/ZpookSTRSTgdoUFuQoFgwSQS8DdzfWjIYxk2GHt71mke99WY9XXQ/tXov+oM5wFDIYHqnJWvhHfi3whPA/jOWZv5sAf9+ffJJU6x/8xoOH/8vBQycmJuoKLzYYNEJ49MUEX3zQ45tP1TizssT/8d09pidiaqHNOHpeiu+l+LFP4KWMfM9Kk1gSxTaVbhlHWCbKWClJIE4hTa2ToLUNuLQ2eQ9nBm4LcBu4CnzPAqQWQqOmadUTploJ81MD5qZX+freiD+9s86+I1NcNOmzexNs2xSwbSNcvqNDP+nwwJ4J6spnflox1YKp1ojpyYQg8BBZ4mowCljuxKz2De1ewvmVgB2bWrzwivPc+WCffacmaIQxvgoQYpLdWxX/+FWLPP/y8/zpnS0eeGqKpZ7HhomEqUZCoyap1xShLwh9ie/bWEUpCsuV7Jo2xtjVKwN6kupsdcusxUSTpJooMSQxRImtx4kTwygDdpQIholgEAu6iaCTwGCQoJMhs/UOP/09S/zL7+vTCANWOw0GoxqjUcAoCohij373xETYUL87NX9tsOexT3/gyuv/5oq0/sYAvrzSRin1o+/944//+rHjp2ZrgUAm+WEGCSih6MkG7aHiv/xFwJ5DK7zhJT1edn2XjXMjut06g1HIKPIZ+T5h7BEF1t7LAR7Hkiixy26cZJ52Smb9kTG3RBtKcNskZcbc4CmbMAl8Qy3Q1GsJrVrC9MSIzXMdzrX7vPvTPl98aIbllSaXzAt2bBBs3RCwbYNg15YhXrDKR+7xOHyiyWUbJdMtyWQzRcoRpxYMoWdtT2MEUeyxc0OHB0np9BUrHcO55TqXbavx3S9r87EvBxw9F+J7MUL4aNMkTiQ37lph5/d1+OIjfT70xRkePtpk67RgrpnSrKXUAkHoCwLfxiqewgbOUhQ1GQZ7kWmDdVpSC/gc5ElqJZ0FO0SpzVRGefIoEQwS6CWSbgKDSJP0I7bNdXjpjSu88bY+r32+xhMNlldqjOKQURQwjHxGkcco9kgSRX/xzGzY3PWuq5//JjUctt9bq/3NTNz6GwH40vIqvu/98O1fuOfXH37s6Q2eNOALEAaE1b1SgBKaQAi6okYn8vnIV0PufqLLDVd0+L5X2iq42amQwTBkEAVEkU+U+ESxVwRKSaKIU0mSSOJUkCSSNBWkWpRaWwsKVWIsc0sBSlnXwVeawNeEQUo9TGjVR8xN9RjEA778pOHPvzrJA09NMR34XLPVsHlGsnE2YMu8ZNvGiIu3rvDE0QGf/to8k8pjflIw0RRMNGLa/ZTPf7NGK7D+vjYwGHm84dYRn7vf1sS0e5rzKx7bNrR404t6PLC3y54DAc0wQUlhQa4bDCOr9f/xK9pctvk8H7m7wzeemeL4Sp1NE4LJmqERaGqeJvDBU6KwWi2TQ15+pDOppnW5wiUZ0C1BQJwK4jQDdmpZu58Ieik25okimvU+b3v1Mm9/VYcbL0vZOO3THzZpd0OiOLDkFFtwW2LyCiI6c3LPhtbkpl/fddltethvv7/W+PaD/NsK8G6nzdJKB0+JH/jyV772m5//4pdn26ttAl8iU5tpyzNuOXv6yhAqQVcpen6Tk52Q0/c3uP/JHh+7tstbXjHgNbcOmZkMiKKQUewTxT5x7BeOQJIqkjRL2KQlwG0bGxhd1pTliSQldebOaAI/JQxi6mFEqz4gZcCXHpH82VemeOrIJCIOuWjasHnKMDelmJ8J2DQn2TIfs2NThxMLXf7gs02SUZ1t2wRTLY+JJkw0YoQf0Rk0mWoZhBAYA3EimQkViU7oxgHdfspKR3Fqoc5VF7f4iX+wyrs+HHJsoYmn4uzC8EiSGsNIsmk25MZLOlx7cY+nj53iz79a586HpzjdrtMMFa0Amr4h8Ay+Ak9aK1aIanWdBoy2F12qBamBJBXWP08FUWqTRINUMEhhkBiSJEHHEbO1Pq995SpvfWWX265JmKx7REmT5bYFdhRbIopiy9r5qmtXXGU7k4Ztnnj07g3DSP3mxZfdnCwvnv4T6TWZmvr2Af3bCvDhcMDczMQbH37k0d+7++6vTsSjLs26Ik5BSnuCbaEUKGFQjnsRSKgpQU8F9BOP86Man7m/yT1P9bn5rh7/7Hu6XLmjw4YpxUTDswcx8UkSrwB5mgNcS7SRWaGWKNLvlrk1Kkvxe15CGCT4KqIziFnoxPz2J2ocOT/NI3umMDpgti7YMGeYmxTMTihmp3w2zko2zSZsne8zO7XCFx/VPPzMFNduE0y3JK2GZKKhadYjhD8iDD08Zf++MZCmksHIYzCMSbSgO9B0e4bljs/ZpQluubzHC69a5SN31agvKzwZW0AajyQNiGLb4zk3VeP5u3s8/5IeD770NMcWJH965xTnVxucXAoJlKTpC4JchsmMYCBLeWZSBcvkiREkGmItGKUwTCDSBtIEkhipRmyZHnDtTns+brpSM1FXJEmTdjdgFAfEsWcJKLFsHSVeFvirQk5GicyCW0W71+PcvXfPdgfe71119fUrg8Hg099OTH7bAH7w0EHm5jeqT33yY5fsP3BwYjjo0qz7jGKNTLKspDBIYZdNJY31uROBJw2BNASpoK4EA0/Q90OGic9S1ODOhyf5+jMDmuGIf/K6NttnE3ZuGXDL1V08YVvEhLByxWYlba20MQ5zYxDSoIT1zA0JyISnj0ge2utx+wMtnj7eIkoatDzFfN0w0zRMN4z1wSc8ZiY9ZqcEm2YStswP2Dy/wj1PjXjP7RvYPOUxPwETTcVEU9BqJNTDEV/frxhGHn7TgsoYQZRIap7i+ssG3P/klC18GqSsdnwWV0POLU7zE68/x8nFJe5/bB5fAiJGA0liATSKJL2Bx3SrxtREkxde1uel1/b5vpcvsPeE5nMP1Hhgb539h5skwmM0UvRjhSpKH9zAM8sJGE2iDUZrfJEyGUTUiHnhDT12bR6ybS7mHa8ZUQ8UzZolmXbXsnWSqIxwMqZOFFGiiLNyiPweZfIkv48iQbvX4etfv2/i1Omzl3zP97xFHTp0KN29e/ffHoDv3buH6anp4JFHHv6h4TD+LwsLi/i+ygIaUWjuQntLg5Qi87wNKoFECfzUEKaGWipopoKhZ1O+g9Sjn9bodlN+8yPTmCRm4/yQq3YMmZ1MeMsrBuzYEBHHItPbEhzmJtOfUmqEFHz87jpPHGoiPI9jpxucOtegVldMhoKppmGippmoQasumGwoJlqK6ZbH7BTMTSVsnB2ydUOH1Kzy8a9NMOg1uXSbYaKhaDUkrbqmVUvw/Ygv3l9j1Jf4G2xgnUuUZl3x2psH3PuopjeS9AYpnb7Hatfj7FKDK3e1eMttHR55usGx5RZKaiDO9LJPnFo3aRhJekOPdi+gVW/QrI+4ctuQF1w+5MT5NkfPrOL5KY8f9vjYVxsIZQvXGJ8/aDSgwRjiKGXnxoS3vmLA3ETK5TsNG2chTXxGUYsk8VnpeiSxR5yWySMbD+XPZQXYcREjleCOsrsQitXVZXSa/JdHH32kv2PHzg/s3bsnuuKKK/92APzUyZMsLi5cdurUqXc//PBDEiFRUuJ7NpWSH08pQSUUDB5Ly96+tD6sn1oNGGtDnBoaqSDShigVRFowSn1G2ifWsNCb4KtPaAwpn3rAjmzA6OyeZ/Eyi6yoSJRIpUhiD6k9fE/SCmHXvKHpaxqhphFCIxQ065JW3cqhyZZkegJmJxPmp0dsme+SssJv/2WN+57cwO5ZmG5k7N2QtOoJjXpEszGgXm8QKonKJJrByoE49hkOBINRSnek6A013YG2LXPNgJPnJnnxVSN+5nvP8Vsf8zi+GiKExpgYnRrixCeKJcORT2+gaA08mrWARr1GI2xQC2Na9YgbL40I/JibLk14xyv7eCopKjJFFvSXILcrjNYSISShr4CA4chjacWzdTtpHvNk90QWMZC1aOXYcxuo2vcygLv+ewLaWO32yCMPSiHlu/v9/tdGo9FT3w5s/m8D/LOf+RRKqfrhQwfffOjQQeEpiRG5LWVZQggrD1Jp67hVCioVqNT2OyYpeKkh0Zl3re17SRbZ2/cEiTbEGhItiLQkMZJUe8Q6JM1sL/dWZCkFeELYTKWCWt1Q8ww1lRL6EHpQCwz1UFAPJI26pFHzLMCbgqmWZmYiYXZqxIaZHls2LPGe2zUfunMj26cUcy3NRFPRaiiaDWjUU1r1mDNLmkNnQmqBvaAhr/QTDCOPXZs0m+aGdIYBg6HJWFyy2vVo1Wu0GlO845XnOXzmLH/06a140sOgSXVqj0XiMYoUg8gWRfVrksbQox761MOUdtfGGIGf5RP8FE+mWd2PTeeL7G5LVwQgMpAL2jqrstQ2rklTidYqs2Dt6yQDbxHkJ/nrHNiiyJwWz3OAp9bGTVMLcoPkySefFMPh8M0XXXTRoc9+9tODN7zhf88j/98GuDYqOHP2/C+cO3fuF6JoJD3PBndpNrpB5K6JsABX0pDk+ltZxvbSzKZKs+SDtsBPM/vK3k2ZZs8q5ayXK4pAydXcQFGVKAV4UuNJW0PuK/CVwPeM9Y09QS2U1AJJPVTUa4pWXdJqGCabKVOthJmJEXPTfXZsXOKB/SM+cvcWpmshG1uaiYaw4K5LmjVNs5bQaox4YB88vrfBJfOmqGfP0+aDkeKmyw2X7hjw4FNT9EeGwTClN/AykPs0anXqtSne9pJlHt9/nvv3bAKj0Dq15bCJIYlNUU8yGHk0hoZ6TVELNGHgEwYpoaezpJktf1BZSYSU9ryQdUnltFAG57aEWOeOlM7tV8eKzcBsn4vMyXKAnP3MfZ1koM7Pd55lxgiGw6E8f/7cv5+eagYTreavAdFzBvD+YCCHg8Gv/PlHPvyziwtngyD0inpkmYFRammDO2ksSPPnyr7OWTzVAk8bdPY81aZMK5s882bQWSYuT1YYY3Ay75UVN09V55akklnGUuEUbdnsXxgoaqGiHgoadUGrbphopEw2E6ZaI2YnB2yZX+H+fQN+5Y83cvzkFBfPaaYaMFFXNOuKZg2atZR6LSbwh7SHBiUVvrIxR36zJ1wSJwET9Zh+oulnddb9YUq3L2nXFY1uSC1scdGmmF/9oTa//EHJN/dsxKDQRpOmmiRNslS6YhgpBqGkPlLUAkkYGMJAEXoa37d+v6dsrY9S2Wqa5yaEqTboZql9k5GIyWpZ0gzwaf46sxUt6CmAbr9jBvDUrro5WycZqHPS0qmpJOJOnTodTE40f+4lL3m7Pxz2/22t1vhrp/P/2gAfDDoYE/3a00/c98+7qydrrYZCSIoeSq1BGtCpQGlBKg2JdsCdWoB7GdDzL+oCWxceLRhtbBe5Kf+G26/pAjyT3VlgSWZHCpSydpmXtaL5niQM7ACgWmhHMtRDQ7OmaTVSJhoxk62ImYkBW+ZXuX9vn1/+wBz7js+wc8Y6LK26pNmQlr3rhkYtpVGLidOI/3lXC6kUvrSWaMHgJl/Gff7xq1e44+GIbhTSzwDeGyi6PUU79KgFIaE/weXbE/7jjyzx7z4g+MZTG9FGkmqbVo8TW2g2ijSjmi13DUNBzReEgc1sBp4pMrae0lkZcrbCSQfgZcoTyEgEm0vI5ZUFPGuSaam2NqPOQJ8U4M8BPQZsnWdSHYAbm219Zu+R2h1fuudfvPpVrxCrq51fnJr6603P+msDfPHcYYzRLzx97JF6IxyRBsp+0OzL6px1pf1iMgd6BugqmO1rrWwxVJ5dy9uvLNCFraPIQZ0f+LHPlQM8r8FwmybyOnILcInvS1u/EQhqoZ150ghTmnUL7olmxNTEgPmpNg/s7fMr75/h6WNzbJsWzDYdaVLzaNZs/Uq9llAPI3x/xKmlaXwlbI27yPQt2XFJJUmi2DxtSJKYTlyznTIjzWCY0h1K6n1FLfAJ/Bq+N8kV2xL+4w8v8G/eB/c/s4FUSwvw1BAnacbkmlGoqUWSYaAKCeb74Ht5m5+0uQBJJlNAZI/rYNzKFbKkEKJIDllQjz3PHnNAa10FtjYUoLbn3wG4NtlqbVjt9vnqPQ/Wt27b8UL5v7HjxF8L4Aefvh1PDhp7Hr8jEHqFZl0QJbrMIOZfRAtU/iVVWcWmtUBL+2WKK9jD+bK5DDFZgZQjR3LmvsBnk6IsopKSzI4UWdpaZo0SuTyBmg9hoKnXDPXQ6udGPWaiETHVHDA33ebhA0P+3XunefLYPFumFPNNzWRd0KpJGjVFoy6o1+zFYVP9EffvEfSGATVFdpFZDZ43IaRaECcezZrilqu7PPD0BP3YypTBKKU/UHRDRRgoAj/I9PMUV27X/MaPnefn/xC+sWcDsZbEWmfN0mUP5iiQhIG27O2XdfSeyu9kMqWUcTKLmdYDeZ4UMg7ArX9OJl/K1bYo5jJkktMFdPlaG1PIExfoSVbZ2D63wvv+9DPB973lOxt/8uHP9X/g+77zbx7gp04epzmxfero3o/9QRQNXyJICXyFECVbp+4XzJ+nltVThbOkgVaiAHSFtR1A6wLYZVMwmfYuTkbm3AiZNyyLAtwW4KCyikHfg8CHwNfUgqzAKkypZ/KiVR8x2Row3erw2MER/+690zx+dAObpjzmG5rJOjRrgmZd0agrGgV7p9TChFZjyD2PB6y2a0xPl2nyHDC5do1TxYZZxSuf1+Oeh7Ttoom0A3JJzZfUfA/fC/C8OlJqrtxu+PUfO8/P/6HhG/s2EGuPOKsAtGWvlsnDWBbVhYEn8bysCEsKlJcfG4rPl1+EuVQReVUaZUJo/K6dR62dx2LlHWPqgvycc+6c9zR3zVJbujsYDF5y8NDh9/3kj3zvT77ixcdWd+zc+TcL8H7nNKPBws+fPnX87Z3VFZTn42fp91TmH7xcuvJlSyunTNOI4nkuP9JChlCw97Myd4b0PCNXaG+ZV9CVujuvGPQUtj7DM/i+bSyuBZpakFKvJTRqMc3aiFZjyMxkm0f2j/iFP5zjscMb2TDls6GRMtkwGbgz9q5J6qFl/1qY0AgjEj2iG4UIJfFzBi80eHah66xALPZpBkNbLhDVmM5BPkzpB5bBw0Diex6+l29Aa7jmIsO7fvIc//r3Nd/Yu5FYe4xSQZTqjMUFtVgT+obAt219XhZ3eMqWCNtWQHucrEwRzgpoj2pxYbqxzhi4CxJyiCkH9ziASyJzLwCc3y+tYpAsLS1x5MjRt3/z/kcPjaL43/yNMnhn9QStya07H/7ae69NR6cIfAlCZ9NcLSMUEkWLTE+Xr0twG+dKF5WrvzxgwmGKMitp3DUzZ203qMyX26zGRWXBlG15s8AOPFNUD9b8NNPNMfXaiOmJPpPNLvfvSfjF98zx6OGNzE96zNdTJmuGVgbues3aiTm462FKLUiYaEbsOWq4+5EmgZT4SmdBXOlR5Bd+nCoS7fGyG2MuubjHoeN15hswjGyf43CU0h9mLOwpPM8vShyEMFy9E37jxxf5N3+o+drT8wzjOqNUEiWGRlbHHfpYkHv56qWL3lap0mKFU1I4ABcOyFmjV0qQmyrAnZXWBawFf/baZfhKjOXW7ZcrgRAeew+e5vNfevDaf//zP77zwOGTxy69eNu3H+Cry2fw/KmLTh65/78l0dIbFV2k79kvJw1KO/aRKYGbamsxVcBu3EAl97PLSL2I3F2XZI1bkjH3OLiFQSqq9S4qY23PEHga39eEviYMEmpBQi2MaNRGzEz2Wen2ufcp+I0/28QTB+eYy8A9VTe06oJmTRReuXVetGXvwAK8Ho6I0pThoEZN2YtMCmfpJ88WZh5y4lkt740YRYZBLByAa4IgJfA9fF/aqQLSLwCOgOt2CX7jJ1f4zQ8nfGPvLKfbEwybkqnU0EoMtWziQOibzPvPnRRTsHcuVXKAF583+9AuzguFmJ0UU5wrB+zaZJWKTkmucYGeN59kK7wLfOOwubGB7dJKn7Pnl994x5e/kb7k1uf9i+MnTh/dsX3Ltxfg/fZRIr/+gpXzz7y5vbQf3/cxRhdsmycEPF1aSTqXIoXGzt8z5X+nTcHQekyKVMe22UPsqsL8JNhxDzl756W4JqsatMzteRrf0wRFeawFdxhk4J7psbAy4Nf/Z4NPf3Oexd4085OS+VoG7prV3Y0ssKyHkkZoMga32rsWRkDEVx4LWIkDZkMq9diI6gqVprb5YSL0eMUNfe7fF9GNQybjctZIMLK16oEniwZsJX2EtAkaDFyxXfJb/6zD5+4f8Gvv38jJxWkGUx5TgaCVaBoJhLEdvRwoO9DIzwNNKYogOH90A3X3whSi6BUpWTwnH8fhKnITpjz3pU53Gy6osPd6et4YMELxyOMH2bZ145tbreb/7PYGR7+tDJ7EPZTXuPT8iXv+z/7qY9RqFlTGpEXVXs7AJYhzbV2mfq3NV/6ssP10KUfy5EJ+APOD6PJ35rhlxVumqC+3s1QygCuDJy2wPWXB7XspgZ8S+Am1ICYMYlr1AZ7X557HU973+Qluv28DkZ5gw4RgrmZlibUAc59cZXeRMbfL3jGeN+Lrz0zRjzw2N0xRWFZl8DzItmWkNV/xwisHJNoCfBAL27WeedvDkbbBoZfNhsnsPZEl1w2CuSnB21/eoxWe5v2fH3DvM7Ocjev0a5KJxND0jAW5l8UhymRxiclAnh9DUdaOS7udQH6sx3cUdEGOA+r8/OVgdgHtOjBrmHsM4AWugBTFl+97mquvvvz//O7vfPGj7W7/wORfYSTctwR4v32ExZO34wdTWwbtfS9VZoF6UEObpJrOXQPwEuiV3ynAPq61ReXg2GMm1k1RliUAuTTJs3K2YjCfs2JrvjNwK1uLEfoxQRBT8yMajSFB0OfP7vR4559s4NDCDH5YY1NLMBOmTISGZgjNrMO+HtpsZy1LCNn6lTRbCaw8Weyk9KKAQCkCaYoAM//8hrK8IE9tR4lP3R+yaWrAar/FIBbFvJHA1/h+mtl8KrM7VVZf7wautvLxjbf1uOmqBX7jT4d86IvzLCdN+qFP05dMeLYGJ/QgUBTNEJ5yhyyZgsXz5hQ3zqmejLK+xgX8uMR0mV2PvbeeTNW5/YhzQaA4fqbN3d/c+9LuIN2ysNQ+8PS+41x9+Y7/PYAbkzK98RUXdVeeek9v5SkCX2BIHHA6gNYu4EXxYbUpf3ZBUOfJBIMtdV3nswhMySay7BAqAJ4NDpIV5k4zkCcEnpUkYTAi9AccPZfwR59r8smvzXL43DQTDZ+ZGkyHKa3QZKn3HNwyA7cskkK1THuHgb1wJpojPvF1jwPH6tSyCVxFuxglyosxDsbq8DjxuGInfNdNXd73hVl6DY+J2M4eCaMsblAaz5PW/VA4IPedk2VXhR1zkl/8/j7X7jrJH94+w+Gzkywndfq+R1MJGhnQA2nshZO5TMXqlx/X3D7E6vMS4GatT+6wualo87WOS0WimJKpx2VLKX+zpgzh8bUH9nLbzVe+5+1vfNHrFpc731KqPCvAjUkAxer5+7f1V57cTbpEEHiZ9hYVgJuK7hYlu+vy91xw27ptUQG0q7crhVNOnURZvFUWccm8SlHqzDXJ2TvF9xLbueMlhOGIwBvRTSPe/dGA939uE6eWptCqzsykYiYwTAaaRsbcjSJ9L7M6lUyaZN55Ae7AZi9HccSBkyG9KGQ6zFycYpAoRaLHTfYkqSSOPSaaHru2RahwSDdqMQgE9djOIAkyeeVnEsXLXQ+hLhC8KuYn+/zEG/u8+WVnef/nOvzRx2dZHDQZeDVqnqLhCerKECbGsrm0UsWTZXlDnuUcZ3JYR664585l9TV2onD0+RjQtQNo554aYWdLGMWp8x3ufWDv7ka9tu27vuPGo91+Sqtx4a2mnh3g0TGEPzFfr+mPrva/5jfqKaArrF10zzhAroJarPm5yTNihcYu33OZoDyQzsHNKt9UtkSX7J1VyanUAtxL8VRK4MfUgojAj2gPI77+hOTP7pzg41+bZZi2CIKA2UAwFWiagaERGhpBCe5aKAlDSZhJE5sYypyJDOCBbzOfR84Y7n24QRT7hE2zJsDMb2Vq25aiRrGd+/LKm7p85Es99p1sMqjlw40MQQJ+rPEjjVLS+tbSTt8thvtQMmGqJYmWNEKPjVMD/vXb+ly5Y8SH7mzx0J5JFgZNhirA9z1qnqAuIZSZjZrbq9J2XxUFa/mMlXGgu0zuSJX88+QgNyav+GStTMGxiqGoOcqThakRJIX08fnzOx73X/2KGz968uzK85ZWewt/bQY/cG6nXFp4+AWrZz8+ee2mM4RBnSRVaK3sKIaisTcDrpYVkLss70oauyNaKUsqz52buyTKnMmLlLIuyj2t7jZ4KrUAV2khRzwvpt2Lue8pwR9/YYI7H5lkud1C1mu06oop3zARaBq+oREY6gEZa1vmroeSWqCoBYJaQFahpzNwa0Lf6m/ljdh/Ek61azaxkunbauKkPPm2DzIvUJJEkcfGCcGl2wc8eTyhH/vFHJIgss3ZvkoziZInamC8TqOwaDMbMk5tffhbXzngNTev8OVHu3zwixM8tGeCpW6DtgzoBR6BEgRSEGb9sZ60u9QpUV6kSuR9tVUGl3kJAlXJUo2nyvLmIgjNVzKHtdPsdxJDdhfEJge6waQp0+kqjzz6scnrLv6uF1x3+fO+wLMMD3pWgB8/cyI8cy74/f/0X1eav/iPU972qi69QWgBnipSIwtQ6+x5RYOve3eB7Y5zWGc3lYo0MZUCfStLdKa5NUqmKJkS5G6GjFnoJtzzsMfn72vx6XsnOd9pImo1/JbPhAeTvu3kqftksgPqgcjuMis5zXR3IAhz9s4B7iUEQUItiDAm5iuPhBw7U2duRuBLnelYUTb6ltdrWX6aSYrByGfnRsErb+jzyW9G9GKfQSyo+YYgsSw+io2zSqnCr0bIikyxd1k2Kmjrt9fDEW99+YDvuGmJT32ty+fua3DPEy3OtxsMRMAg8PB8hScEvhT4UuILk0ktg0I40rBqH7oeucvoJZtXA2zrsmSgRmQAtvfECFIcUBtji1p0AsMRr/2O8/zoqxebmze89vf14NiVwOCvBfBHnnyQxfNdzuzrsOekh9/oUks0SeqjVcbkBXPnnexj4M5kTL5kVRncDVfGsO0ElOSgzplb5FNodSFHAi+mVosZjlL2nYKjpxV/ftckX3hogvMrTfBreBM+DSVp+YaWp6n7hroPNd+Cu+bbmYS2zFQ6d5H93GQg1wXIA9+2px06rXnySAi+ny3zxknRVyyIigZN07xRwI5zvmbXiKu29dh7qsGgJmgkgjA2jBSZtacz9s7dlNyCLLVK4bNnVqTWKps+4DOMfOr1ET/42hFvuGWVOx7u8RdfanD0dI29pxpEqyFJ6DH0PKSyrYcK8LLHnMkL2TJ+rtYDeG7/4jB2BuDisbgbdNYbatsP0+ye2O7+YcS1O4dMzndZWHxqyp/+wX+03DHvm5lYH0cXBLgeHRZR3Ps/77rjN+fS71vkpitiosgQ1CJClaAjRRQpUqMKtiiYI3t0NXjeClXqMuHotuqhKXR3xhb2ed6Bou3oB5kShnaSapKmnF2Cu77qcehknbsfqHNqpc6h000IQ1TDo+Ypmp6h6WnrIvh2cH7Nt+PaLIjzu8zuKgM4mebOwO2nhL5lb3thRRxZgD1HG/iyag8WEoWyHrzQn7mTorO+xsTnqp0DLt3Q56nDCf3EpxULRh4EiR12qRyASykQUlaYHMbciFwGpbLoo4xTn5EfMFGP+MevHnHbtR1OrXT4yoMBh0+E3PFIg9NLNdKBj5YecaAQUtqVQmR/jyx4hlK2OKfSlKez0N7jbG6MLlyXbFlz7jbeQ6cQaYhThJegwoQH93r83kcbnFk5MPVP/3H3Z4Igfv/YAvKtAT5Y+jwQv/1lzz/SHMUJf/iJFh/+QoOX3zzkqosSNk9rLrkopoYgjbK94rPl0BiBRmYgx0qRgrlLBs9gvA5z54FMLknyFiurr/0wJU4Nh08InjysuOuBBk8dCXjmSJ3OKGQUheAHqAmfUAkaChqepu74wKGX12nkZbO2LjzMZEkQKIJAZheAKbW3n2ZD963OrwUxRkecW5aMTIjnSQJp8BybbYzAC5CnptrvGCU+Ao/5mQiphvRin74nrNMRlwVjntKVDKQUBbwgH3ZEGROVrWX27/ipKsZP9EcBm6YjdmyMufHiEYNowD850uapowF33V/jySM1Dh+vEScKQoWRCp13kBfd+RewVnKkuxmugtXy5vAM2GTA1g7IY41Hyu6LYrbOxFyxK+IVNw+ZqBv+4BMt7n1gkdXoi/j+hYXIuj951/u+yJ999bx64UV3iI/c6fOpeyZ4cl8NIeGuB5tM+ik7tsVcc3nEq28e8YrrIzApvgf1psEYO7YBbQe85Gxeau4xWyH7zgVbS1s3YoNKTRwZ+kPL6EdPSj58Z0g/Vjz2TI2DJ0IWewGjNAAvAOWjJhSBFNQVNJShprDjzFRWeKQsawe+sEkPF9y+JMhkSRhAGJC5JjZl7nuawE+yjGhMvRZxfiXlrm+0aHdDpicFXubFSwcHa857bosVWlwyGinmZhWvuWXIHQ8NON5uMvCllSke+InBj3PPOvPYZWrtQtxZJ7L4G9p4zt+wQA9SReopEl/ZsQ+xb61UP6YZxNx2TcILrxzxppcO2X9C8vgen0Gk+NBdDY6c9UFI+gOPNFJ5+SbGywG+zrmtALzgcTAGkWiEtgNZ0YZ60ybkBJpXXD/i1TeNuPryiJ3bEiZ9mJuwRsO2uTafvgIePPqo+OUfv0b915/6aNLa+L1/NYALYKm/4d0//M6p657Zn9JPBNTtZ1voaxZSzZFlzTeeSvnolxLmZxKMNtxwWcRbXzW03RuJYX5Kc/01Ec0a2TpVFkmt91fz4TztvuDxJ3yWOrZq74E9Pp/9Wo1hrBjGijNnA7TwiI2PFj54HiL08KQkUIKaNNQyYIfKECpja8C9zPP1SuYO8r7MAtwq69EUBXsHviYI8gKttGDvIIhRKuKrjyo++c0WKvCs3VbR3xdm8NwLtzpcEqeK4dDnDbcO+PTXO3zoK5P0khrNTIf7uQ6P86SMKbqFhJAFwPKJBqXWdwCusw54zzK57ykSz8NLUgt0laKUHaQ/XUu49fKEWy6PMWLEW17eZxjbcW6f+VrIg3sC6qFgsaN4/KmATl9mKmkdkLtMlgWOzZrh+ueNmJtKbeNLanjrq4Zcf2mM0TA/bZiZssEtQqJTxWhov9dVO2HXW3osdE5ct3nnre8GfuKvxOBLKx1mploTv/HuT11+brmm+nIKwrFlxGi0ThkZw7mO5tyq1Uv7j2s++1X7u0YbJqdTXnBtRKtusq5pw4VvIpv4KljtKR56MqDTVkhPMtKSkfEsMwkPOxfYA+khpcSXwoJZGkKpCbKZh4GCQJUz+izIRdnw4NlGgLzx2AW3ZfisrNbPGTx17gmhF2NMxKnFgGhUI5yUBFnaW2VVeZUspmunFcE4BbOmWhHFPtMtxfa5iEAMGSQhg0RQ9+wQzLyGJE9oKemWt8rib9m/kclFrcvsqc47r5zRD0ma5Q1UtulAQpykqDjN5rSnSJmwbU5nK4bmyh1DIjNAepp2W/DQkx6rfYkqFEs1qB5/R2sL8BdeFzM5pTGplbF1JfCyVUhrhU4kkbbHpkweWnNDp5K676tBP7l8w663T0SjdicIq3MN1wD8xOlFzp5feddTew6/XA97zNQ8+tl8krzm124iWQU8RpOgaetMX0lDZ8Vw5qtm7Guucbuzh3J5M0Kg86GFZDWnQhVBjpAys7JyUGdpZ0m2cWvuGzuPXtZJr8i23qMAt23rUgQZuAOPosTUMnjG4p4myLKjvh8ThjEnFjV/ekcTvABfijLALOSJWMPgrruQDwm1YLODdaLY5x2vGfCpewY8c65FL/VpJHZTWlsFaMpOHJXnBMpgrziW+UqhpVPgld91UQvjeQo/tfNS/AzoNnFmk2a2bjzNgvtsG0eZ4gmDMClzDc13vsiATDOZCYh8/4z1zrexEtYIjPbQSRmfpbEkLi7MUt5ah84+TzPAJ4nHKIoZmUMvb3aOvcuY9Ke+JYO/78/uQkkRHDxyFl9CUxp8DSMtiLWwHmVh++UD5XW55qqc7e3r1B+z/yss7px5IYBymc2DFyFl0YKmhJ3C7EtDKEwxFcuXGahl3lTrFBJ5OHNQLMgDr+yqLwEuC9kSBqZoaQsC7QzOSfAz9g68GCkjjp0VLHRqCM8jlFTkSZGeF5VTW5EOFeBlTkeU+MxOjNi5acDesyMGqccwhTC14+38JNPhCYWzVB5GVelUyGM6a+MaUu3+PUGaarxUkyqJ8vLty1VWrJYPCdLZapFZsyKfjKUL61Y4OYpimFD+CYTD4WPmQtnM4ljLuMB2nhfzWVxCEKT9U5w//tlgPYWwBuBP7j2OEIJOb2jrEjDZZCjbkpZnl3JDXhtBinRqD0zlsfxGF5AnQthlNVvKcxayfivF3/aFdSY8aYoaj/x58V5G9mUpKEWDbaCEBXsF3NI+BjnQ8+CTYnvCIGuSyCWK71l9GgQxCTGf+3qdcwt1/ElF4NZwuA4KY4p0rDZDjyV9hiM7wfb1L+rx9SeGdJIafc+jnmiiLJ2uZFkQlRecWaDlfykPNMsmEmsdZjNVDKRKZPNoBIkSeKnMdrGzZQ850Mtkmi4SbFJqJ/GmK0m4cgSFM1DIyUoXqws4hXUuuKv3StlHnlh0HDvSAVH3MIZvAfAPfOROJlq1F3/oL++96dSZFF+BwdjueKGzGoGsO8cYdJGBciq+HKfE9T7HFykoB3LmHrGbSFBYYOezO3KwK1lqXJUDW9r95PNRCC6wizkoCtuPuB7A84Az191eLktMprerteSBHxP4EWfbmkcO1sEL8DJ54jkFSsX3G0O4PTZOU0BROy8LTzyOfW64ZMTs1ID2SoN+omgo8BP7XVRqhyap2AU4FuTFH5KVuh+beDPFlCqtNKkW+FqQKkmqNKkSJBnIE6d4LS+HkDnIc1Bnwa4Qdot1IXW16lM4RCeqODcu0Bln8rw3YLymSTql2BKtAaHxRP2mmS3f8eLTh19935aLX78+wKMopts13+kJfb1II0Lfs8uazIbu5M2i2YcrnxvKGmBRWYYdDq/c8mBbZotVvpxLyhM2XgchBYX2zKfUKlGWetrm4rxTxcoSVXSvlMDOm28te2ea26PQ27klaBm7BLdfVCfGCGJu/1rI159qIUOPQAo7f7uoIHTns+QndjybWa3A1Jm2TLViMPS55eoB33Vblz+6vUWUhvRSSS21e+V4sqxWLGSKlBmLu3/qQkwO2pNlk3gG7lRJlNKW0aXMRktopxS5rAESTiVn/jpn7TylT8Hkz3LLL0L3ucmDZNYweS5VTDZpK00SpC+vT+LBd2od37cugx85epKpydZrPvKXd33/0uIC9dDuC60zWa2NQcuyKMYtXi+zU4J8Dxj3RI7f3KxXcTCoAkI5NQ9S4OjaUuMqhTNEv5xclY+JKFg864bxVRXcdpzCGHNnPZtB1t7me3nDQeLcYyJi/uIrE6QmRBXZSzfALPsac2ejosEzgihKRLW0E6HSXFt6CHze+oo+//NzI1Z1zCCtMUgFfkLB4lIaZCKKojNrF47XHklKa9IpR9WC1MtmlqgM5J7tr/VSSaoMKrUVjDbAlCWgczavlFG4ybm8xDbjZ3EhRJQVh/nqxviqgxMoj5dnZ07QysoKwUT/+3dc+uq7V5dP3TE1s7UK8CiKGQxHl/R6vd29XocwCMrZJsYZ5UC1vchdZkz2ZDyOrKDdCbjyLy0zoLsAl2PPxzVnzuTubI98TxqVgVupsWE3GbA9JUonpbADbce9bUw2GXOXAabnsHfoRzxyUHLgdA2jfJSUBFJbSeXWaTgCfNxFye9FC5/TCZUHUHHis3tLzFUX9/jm/jqxChgkgpoEP7WbB9idMrIunCTT4UgEeuzQr1eTX57btKhstPUuFtxZO1u227QLaitXZAnuospzXIeX5zZn8/UAblveHPfHWXXK4JM1vQb5jMTBqM9wONidptElWid3rGHw0+dWaHSHrHaGgC18TzF2vqARaMFaxs7kSX4FurLkQjexDsALYFNNjihRgl460sTKAGG753OwZ50uOZPn+15Wt//OmNsZ/mO77SmAXWQrC+ZOCTyb2LFdQTGGmI99pcHSUh0RetZ3dy/C8RoU91y6BUi6yqoVb1or4thjbkbyva/s8sjBCUZpjb4KqKdWi+flrEqSgTtfK3TmiWcOV8bi48yYTzhwtxX0NJlUylckg9KGchqtLJ9LXZ4nWTK3dFgcB9wVoF/gVunscj5rjjErTRwmzz6/ECBMn2S4QJIMi3+vAPjvf+BTSClZWVnF91Q2CMYeHlnpmBZjAC8uwHIBuhDIHSki1ry+MIPnTbB5UqPQ4S6Dq/KxlCsS5VUBHnjZACA/3zowy3B6Br9IxevseVq5e8p27jxzDD56Z4uRDFBSZdnL6kyW8Qzm+Hl1j1tVh+fLriJJPcLU43tfPeSPv9DnicN1YuXTl5Ig1Zl7JJCpKQaNWjYVRdmDvensb1X3LXKZvAS3jbW8NB8roa0UKvo2yy4qJSVSGBLhBJqFTCk1ePE6X0suAPLcVXFxVF6QVSbP2yFzbS6Ex+riPqLBaYwpJZoHcOz4KXZs39L4N7/67l2ry4v4XjbLWmekY+yk2Jyx3XakNR/q2di7+L/yC1ceRZXB3aU+B07J5s64A2f8gTu1yfPyTV4z7a3GwJ2n7/28MVnbmSFFi1je05lk9xjlRxw45dGNAlBeJk/MWHns2u9VcVHGT1glCWO7cUqf16PpCy7fOuSJAxGpDhnogFpqa7a9TIMrYTdrtYmlPKjT5EFmyeSux2zPsVdMOLDvqWxoqqfJOogMUpcTAvKxy2lxQVVbCG0NllswVzjya8pq10LcaXxxAF6wuwv6Csglw5GmMTm/66aX/FRjdfmf9qdmNluAnzt3ll63/epLd83//FNPPkXgZf+hcIG9Voa4U6bMs31ml60vxORrmNtpl3JYUTlj2SqPqhyyKR1Z4u5i7CsyL9yC2wK4HArku/LEZW+V9XUGEctdzX//yxZLgxoi9K08kaayqpSDc57tZDrHU4ts5xWXwcts3UTD46e/u8uXH5lgaRQQSY+BlARZD2U58iEDXFbXQ2Yb5mW0Bp2BW2OQVJ0VkTG4KYL0HOxKiozBTeHaJMVWkKX+Ltnb3c3NmYCwTt34t4LNuF9eDTyzY4adPd4bJExs2Pzzx44evC+JBp8qGPyZvXsJw5DTp0+iZArCtzO5x7ujnb+8xin5FmUm+YOru12GE0Wih0IeuQAvRyGLLMh0AK7K8WPKAbUnJV4mSbwC4Lnm1kVQ6Xu6ALfv5fUXVfb2VUwQRPz5V3yePlQH6SOlJMxLY0V5ksv+RfsFL1hN6LB50WzryJRE25azJPG5ZnefN97W4Y+/UEN7IQMZEEpRJH2UFMQiH4G8lsmFy+QFWFz7DbQCZeyqoI2dDJzPdrSsLkoWzwCeOvPFZdbS5s4bl87mv1QCTxcb6wSeZh2QOyxeHMPsO6Ra0BuknDhxjMEIksRuDOEBnGkLwlBwrg39kS0RlSJzSISrh6onqPxoF6g3yJ6Pfykx1ts3DvSCxZ1ZeUWQ+S0BLkuAK6eG2svqUnwKKeKr0i3xneFApea27O17dmrVSlvzma+2WGyHUMvcE+EEYxeQKIixGsqxE1Sx7YoEhkSnuZviMT2h+Acv7/Pprw9Z6oVEymOQysyeFJl7IwqJIGWpeXNgG1N2/eiCzcvRDV7urKjsucxeSzsVOD/uLshFJlncVVdkn6U4zwV7r4+FdTk9l72ZRjZGOEF6fgFkksZeQzRrCTs2D9m8ZUAcZwB/7Mn9bN44c9Fn7rj/Z/buP0OcSnyTz8Io/3QF3O5Jcik6l1nZtyggXvlCJVPj/A13tILIdXfG5MoBe9FRLsvnboeLHe5OFdz5zgY5cyuHudcweD5uohw54SmbuTxyVLD/WA1NiJBe0ZxbVg9WJVa106WE27jMyy28MmVfOip20ycPjMcVOyN2bx6ytLeOSQPL4qmVKZ7j4pQetFvolQnuvIwWsjVeUAaflLmOgr1FweBSZmB3RksUK60UBWPnM1QqQWdRjpEBvFhdnP9fB2zjWc4qwYri35LS0GoIRHIO5V37M3NbX/TY8vn9R704Sen0hpuEMa9ZXV5mejK0J0VWgTkeJFU+gah+qPz1ejM0xuVIlcFFRZ4UOtzpXHGH2hePimwUsChrUir3bEtr5YLbAXm2X72flYbm7K2y154Xo1TM577Z4sBiHYJSnvhFNnFcbq0dF7GGpNx8wli9RTqmxaPI4+K5iNff0ufBZxqgfZLUanE/zYZ8plWpVK6U7knKQG6MI1EcuSKz5zJbVWR+t8c+zVYMKTJW15QrRx5/aONc5M5qLUsdvt7KvhZEY8dr/FdcPEmDQbGy3GHDDl4Dg02QHvXyLiEoAZFnCNdbXs26H2a9m6iwdoXJK8Au5/aNB2guoIWoArtgcyWcJlwH3Nl8wnLbDtYC2ysHBBUj3jydgTyx8kTF1BsR39yn+NRXmwyGATQ8PCnwRVWajH9+N5heF+AFyN1hN2MJnwzkceIx2fJ408uGfOHrfR7YF2CaPoM0JBAUF5oSJXuWVl0O7hLkpgIrXV5gKtslT1o9rh3WzhNrOrcLtXB2hhBOoDt2sef3tAR9BRfPAuo1AB9HWfZvW5mSLWXl0cXDxJg0xpMprbpNXdtZ0WW9yPp/5Vk+zNgHrzL5GHNnAx7LA1FKlVyK5Ls1VJ9bYMs8TS+dgEi5ZbMGzytHKHvZJkyeqgLdL9ja3pWyAWYQRMRRyhe+0eCZ4w3wfYRUGagyV8EJLoWssnhVmpXHsHQDjGN5OTMds7JQ7diFUeRx5Y6E176ox+NH64ySgFT6DLQiSBn7LA6QWAtyM/ZZUPnFptFKoHJLTgqMyjYUy/R4saJKkNqZZajLVSOPAaQsg931LvrK6s63vq0X7QmRSSttbJ/pAEajlGiU4n3sE5/DU4rVdoeJpo+nnNnQY/+QGf9Ta1YU51pcB+Que+dpbLuUO7shi5KtSxYXhc4rwO2M/FUFY+cALyenFhIlY27L2KZgaq94LJ/7WXDpqZgwiHjqmOCOrzfoDwJo+kiRVw46xV/rZTHzZXrsFOa1KGSF/9VB8mMJH6cAK4p9Wq2I19464tP3DHn8cAhewFBLgkyLKw0qdfWvZU4y4JGOaUpVOjmeopQu0rJ5vqrkQb42mSxxEm1Cl7u1Fecye09oZ5XOgs38tQubCtpEeVGavDniWW+uFArZv/dxjh87hE5TvPPnFxDCVmTVQ1kEC4i1WrsC8PE/OnYlmgqoq44JwvnSlM/lGoCPsXaWns9H/I6zdr65bPHcc+eDj4E7u/v5FNqswN9Tib17Mb4fk5iU2++rc+9Tdah5IG1Ds++U8FZKY927+2I9NjLOnYzRi+byrFJOywrQR0Ofl17T5/Uv7vP0sRpJ4mOEYiA8/LSsoRdpyeLlR1ifycu/b1AqZ27L5va1QGpR6HAlLaPLnNHz8+UAPSenapxlCuIcz2aXoHZBax+rlrQYMzgcsGX/nez1iKIhxhi8mckAIQRxLBgO0+wfLDd/yk+E+29Vn6wP8AqLu9IEh9lE9bkUVdYuZYoLdDdN79yzHQu8gsGdu1dugpoD2ndAnTsn1jGxj0rFBH7MY0clH/1KCwhA+gihii4ilWX03PIC9/uUDoEYA1hJGBUd7tRY2J5D27pnp9CqIn1vjMdbXzHgrm8MeeiQnSQQa0U/FVnBVwa6NAfUOv5zYbEZy+Iu0LO7ykCvZbafTx4U59pbgjDZ38ofhcikSgZox6yo7HSRA7oiWdYqgPXItWJbuyUHxm5XGKd21qM2Bm/TnI+UguEIVlYT4gTSVJNqY3VhXiFYsM6zZ3TGD2Spu1xJ8mwAt0wtHM+7sAWFuzSWj+V2HCW4ywH4JbgrrO085o21uVRRKsH3E+I04e4H6jx5sA6+D9IGl4EwzuTY9Xz7tRp8HFrGeVI0QDg1IpXqwlSiVeaopB6jyOfq3UNe+gLL4oPUsvhIBAw1eKkoA780twsNpGMXGZm/nDO5u7JIMMogjbBdiNlEYWFEluEWBYtnE0Ic5nbOsS6PR2WbwjFMOAR8YS0+VvtUkENeDZna/Y3afdtaBwZvZtIGa72+YDiUCAGxAJEatLRfsLJ939iSsfZDmZKxC59yTJqsw+IV1haOPHEzmsoBtsi3KXEYvAB7CfIKuJ2h+IV7olKU5wA8kyiBF3PgjOCDX2gxin1o+Jk8oWhNU+4uwa5z4l7lF5Iopgp0V6bkGwSUjsq4FvdohpIfeG2f2+9tsu+UvfhSreinylYZplnyB2H1d5qN5RhbSYpqUMpgsyjPMFbuGWODSSPtRlVGCgtw7ZwzQ8HcZfbZBbfNp7rHaDzwHMuqrGtwjGc07QCljLkTu89olKTFf+vdctsbN548ceiXnnj8oQxk1ucUlPtcusvBt8zIi3F70NVhDuALt0RUX+es7bB1tciK7DM6G03lHT2q3K3AU6VbUgzDL97LWTt7LnWpvbPgMjIJn/hKk8cO1G27j/BQwmYuvawG220udmWKW1vzrLeKBnebSfKOFW2BXQG5RGuPaOhzw6UDvvsVPX7nzwIG2gPtEQvJQNsYQepMg6d5jGDBntFUiaDi5NrAS0kwTvCZY6IsujMFuKXJyCiXKNKWVkszBu6xYzKewc4p8VvVqrg4dGva09TebRyTcMsLb/ylKy6/9Me9Y8dOTC0td1633I5Q0iuCvfxfE4IKwzzbbY08WXPFijHmXrttXQXYriQRVKZFlbuo5fo7q+hz5UkBbmcjKmXGJEleKZgW4Pa9mP2nJR/5cgM7f8Wyd9G577bNCeezjp849wTmLwyM62+3cKhI3WfLrpf1Iab5gNNUkapMi6ceb3tln0/e3WDPSR9khBGSYerjkdWL5Mc2zc5emid+SiZ3G8bzrizl/IbKVvG8s0saUepuY/+G0Zk/bnJAizUMLsDJXK/H4GN26oUATnnxuYPywVaTap2SxP3XnT17asrrD4YMhxFpYpDZbhhSWA0mjUDkdQAVgK+tH3BjhBLoVUDbL1CVJZUD4CYKxjS3FJapSyZ3wF3sM+OyeAnuoks8Gz3sedmw/NzvVglKJqiMwVOV8Nn7muw5UGpvKaT1vosOGhznp6q7ZQXkAsaOVjVgqjYgVzxxp2vF03bQTSrLFH4Ue1x5yYg3vLjHoY+ERKkC4ZEKj4EQeKmT1aSUKGXzXPVcluXQZUyglMHIPOC0C4AyYIQpU/yCQs5qXT2X+fkvGFxXQb8mXhvDkvu0ctzMGMh1bqZYh83ohDQZ4U02PZKRwvOq/2LeD5Kn/NdrIBZjn+KC0iT75OUXEpWApPLoMLfIWFuJbJhVDvS8RLRoNq4yuKvDXd2t8iBSOtJElkPzlUrx/ZjDZxT/4xMTDKVPPkGr7JrPVo81xf05G4nqWbkQE+UJliJNbhxHoBw9XWpwUalPSbVHkvqEacJPvbnHX97d4NBpD1ScSRWfgRCoQp6YLKFmHASVIM+9eZN/OEq/XmZgl9IU+lzJMvDMJYnJjoeW9r/JWXzcXcqJQDsAr0qV9QE+zuCV4+jcksTQH2nCocFLsqlVRkO+LlW0msiqtUR5IKiwkqhefeNaO2ft/MIpMlxjrFdJd1PWGBdywFSkiX2uKxKlYPKK1nZ1ds7kafUuLYv7XkQn0vzRpyc4dT4E5WXWoMzkian43sVz5wSJ8e/9V1hyS/Yut1asbseYD+6R1SlYUpEmHlvnR/zYG7v8xgcD2rGdemSMZKSVtQ1TUYC8GmyWIC+BXYZ7KjMXXIliZMnuOeBlngDKz13mwuTA1WJslVuzqrsmRPV4XSiOGe8gK0CexXF5dak3HNl9GKNEExRt/iBM1tVTaTGq/OnK1bb2cZ1iKudLX4i5XWCXgDeV4LLcUc0U7knB4F6+nUkJaCtHxoFu7cD80VMxXhjz8dtD3vOxCUbat/JEqEKeFE3FY6uMawmWscbaY3XBk1SxCl3Q5yl7g9a6yG4WKXxttwKveQk/8ZYe+48FvP+zVouDIhWSoc7clDT/XE5gVSDIFZ95djX3wk2ltEAae5EX8kDYCyEnQpOdQ0uKZV26cQEtSxlXMngV8OMfbb0juJ7xIbCj+fIZ716SaNJU20073X/I0czrFXmtB2j3w7k61HUV1gV3RX8bR3+biuaW64I7B7gug8wCxA6Ty7SUKMqtFkwy3ztmeQX+8ssNVkY5uC3AfVlO1qrKEzcQzpZjqoAfPzuu1h4HeaWqL2/HcjbSrdSJS4nSCq09ktRjMkh586v6fPK+BktdBTIGrYjxGApR1Knk1YWi8tEEpUyxn1K5CSlpXxf6XFrg5yxuMvYuAG5K1yQ/Ttr5+272vWRzd7uatargr3oT2TnKG8u9vAOmHKRu1vwH48Q9DubqlbhOhOy8HgdGnvGqypN1gC3WYe8M0DJnb+mAW5pMepQBZsncOWuX7O03Em7/ao0HnqyjHe1tmxpyeVKtNyn6D6l+X/cunOOzzumwwBpL+LgltFXrMAs6jUSZ0hdPUh9PJ7zwmojvurnPn34uABWBkBghGGkPJYSdHJYHmnmGs/IBy3XfTTzlGU2VJ4ByNhe5RMlWH8kaizBndJk/x3nfYXR39XM7f3CPrfPGeodTiNw6NCRp1kjdqEtGAzt4Uq5bPli9gsTYH1hPP40De43+orT8qqAf23NelL+XA3p9FteOBs+mMKnUypV8iGTO3FIX7K2kdU9CP+bQcckHb29xthvY/a6lHfSuBOWODWP3Nbrb0dzrqrqxWyXRg+sMVDfsKrZlrHTd2/1z7KPd/mRjM+UHv6vHfU+GHDonQcSAQiMZCllsIkVGKuSSZeyCq35C+76R9pU0uSdusvcccOcWobMFYc7oRpYZ1bJOPJNNWUtOsbpkgBqXKgXOclkyBvRcVkWRoT/UhAON50lRNOe6bsm62tph6Asyd3YAK4FX8dwUHrtrr7ltVq4sKbfnzsAtyvEFymHsMsgswe152QZVeUKnAHaCkileZgsGQcwo1fzBn09w7yN129smPau9pbRdO6Kcv1KUo+afc/x7jl3gLnQqJ6NgyvE6ELcWyK0sdMtobbuZzh2VVJNID5V4vPTGiB9/a4df+YOAUSJtI6qWJJmrYpM/pWkg1qzaY7GAydk788ulFTMyWxEKoJtMa8vcgcvclOx45T8XOWOPY2MNSVYLs4qL0TivXanjHNdUG5LU2PEXcWJTnFqXf/iC4B1779lkSdVZqM48EePAzmRJ2ZU+zt66eJ0ztfXFXe9bZxdCJksKqeLIEplmr5OCwf0g4SsP+Xzy3gajyIe6V2jvgr3zC+pbMbeD4lKlrN90XEk7Z8AupUFZfJWDx5i1ZbRSW6mSAz1JPOqNhDe/dMCd9w646yFlbUNhuxZi4THIVlTAGgnjLVmZU1K8Lto487KNzBKUpvhdkzO0KJ2gPAazY8CrNeF5nFvJ+o6T57Nhzrgrjyj+Tn7MlXCmmY1izSjSRLEhCMs/XmFj94+OsfUa9saVHabye4XmxjjNAVW9nQO/UmOdA13lSRZHfxeyJLt7JbgLF8UZ5l5ob2mnxK72DLff12DfmZqVJsKWxIpcewucDVHXgrxYhYrjIxygP4s+cZbVPEVeKZ/NpQpl53vB4EY7TopESoXUKVJ7xCOPyzbFfNdtPR7YE9COpD3QWD0eoZDYHntJGXS6IFfFJVoGngqb3Cku34zNdS5ZyINJy/ZWi5tSplTIILsYXDZ3PPo8RnA7f8oLwz4xppQ0Oehzi9D3pd2hOpB4w1HKMNYkqcE35ZWQnxu5DpDlGKDdjNSF2Npl7ALsRZOAyaLf/DEHdwlmV3vLcXkiHSDLsYBSppXHHNy+l6BJ+ZPP1XnPJ1oY4Vnfu8LelNrbsTHdoaBrmDs/Wa42uQB7u15u1Qt3ZcraVjY7IzsDearQUpOmdleGOPWRSvMTb+pz8LTPez7pESdZjYGWaAQjIVF6rIRXjDF59uGVs9TkcsAY28WjTF7WYQNjJfOLu2RzXcg5kZGlKYBuAGHMGpwUgeYY2F0HqMzGujLGvvKUnQxRD8GbaEjikZ2RXfm+DuPKdYBdZXDnw1Tqf6ssXvz3Y8CuSBRRuibSkSLFc4e5S82tC5CXrF3uWa+ynQpUZgkqGeMHMQfPSj55d5Nez4e6WsveRc23I5tEmeBx9eO4luSvkOTJGbzS9FCAvToXW+uy3qMAunTmZEurxaX0iOOUVjPhTS/r84Wv1Tl4JsuQYdk81YJBdhkKAUJny7ZZB+TZ9CdD9k/kCw62ulDpMsljyBk7DzBL/a2z82oycBels4YM/CXwpaO1hRDrXATZ7+SftXCE7NGOYkOnm+L5KV6jGdIf+NnvWEPeXRYq7DUGVIRZP4uXyZDxi0LKshG2ZMAx56RgbsYYfH32LrbXUFUWl64skZa1vYzJPS9hFGvuvL/Jlx/NqgWlbwE+xt6lNCkDpuoFXC0qquQJ/lduDrrHa52NLNP2tv7DZBJFV/R4KiQylUihiEcer7o+4lUvHHDi8z4jLQstDoIUj5HABp1k50uJrGopkycGW1WoMybHSdNnTE5W/VlcrMLqce26KJVA0x5P64vn+rkEt8AUF4Ebv+W627UfZd7PW6Ta3WSSh1A+3tz89tWl5eEXUu39w1RrfD/fEydjKznO5NWryT3huABwtal0WbzU1eUFVGrvyvxpwRpwl8xdBbinXKBbOzDfvz5PxUtpO3VkkHDPQwHv/MAkqfFK50R6CCHtPkDurhIVBne+Y152sA6TO6v8s4OaMfZ2UvauXNG4e2ranEXuqBQJIKFItUZqjySx+wv9wg912HfS454HJToQWDVtN/qKtHKW+1w7lUxeaO7CPjYZe+eanPK9rG8zd+KkyH3xcaCXpR9G5tOvMv0szJgkyfGTM7SDOZldjNJ+kPwcKGmYmgyZn5v8ws6LdqwqvzbfO3ri7KE4MT8OKb6fTWKVToFTpf7DqfBzXY91f+YOhHcSNcqpCFTV98eTOOPPvTHt7daYFNLE2UDJK7KWZa/lyWXBOz84yX2PNu2mPNK2oyE9PCWoS4oNpfINrtQF71kDdDEkxxkhV7yWxfStomHaWRnL16JSquAmvCqlDM6OCmXVXjbO2BmEKYxhbjYh9AwPPBGwOpBjS40spohLB+iFPefkOS2UxZqLc+01K9b9FbfVwpVh1d8TY/+uM49QFFeUUz3jqg17fMMANs76mHjxB8+c3LvPi+LUVowJnY2MyJp2VQ5wJy0tXftvTBdRetlQZXspqgwu5AWYWzjBZDa1dC1zj7N4VZooNWYL5qWw2fM0SPngpyf51FebmJrCbk9o9beQstjFzbUFx2cOjtuDZXb3AqJ77G3D+Mkvmbya9BnvuM9lS6m/Tfa82D9SG1KhkVqRCg85SHnzywc8c9jnXe/1iMKkBLgQaOMzylrRRLaUiJRCe7tuisrRlK3WuZevs9IKQ8bcwiaG8nY2I0pGl4aK/DCVY2mKYq1KeYf9c4UsEWQlDPlnyC6FVJqscdpuaJCkBm92OkBguyCUtDsA5wMri1FgLktUgst1gJ6DGIpJRs8K7CLoXF+alLsJZD630kjhuCeu5q7c0+Iui5qTlLseDPnA55sM06xYQeZ3mW1TaCrau9Iyt17ADGMXevXxW2kVk63pxgFSUR1XALu6q4GReV2KQUunCEuYMuDU2TZ/2iP0NT/0+h7feDzgrkdlFmfl9qFA41mQ55epdGhT500QjhzBrjZK29e5gsl7OaU02VS4Up4UGc38fBeWX5UMjRBrsYVzQZgyyLQ16flkXju9qg8srUr6I4XWGm/LvN1cNUk0cWylSS4nXGC6J1Jm2qsaRI4D3RQpebEGINWJpCWQXCavsrcL6oLBnS3uPJkiXWswY2yZBZjKi+mP4NfeN8nhUyHGy3ZLFn5FewdjSR1JlbnleuCmvK+JMp9FkK9X8uk6KvlmX+XsblFh8mKve2l3ZBBSIx09roUm1R4y0ly8Nebf/kibb/xcSHeYfYEs4ARBKj1G2rXfyCnZWWNsZWLxmYWj00WWlMp2rRDSBo9GWn1s0/xrgW6fl83aFDo8B7LFSeGqZH55Ucyl7b9jm44No8gQJTGeZ9ncu3jHFEop+r0eC4sDTFbIW2Em1vvjJZDzK1iMgdgNTCuPrk24jmtSpOSFs21dRaJUmduTugpuZVk7z1Z6XkySwu99vMWje2vW85ZlUgch1rC3EsapwFuHpceOQ76OukM31+PrNUzuypIc6OTlqmYdqTKe+MksQ5FtsSc1OpVokd3TTKpozQ1XxPz097T5b38+RZQW4XFhSyRaMXQvxDxbqUXRCVB4e3naPgv2CnDnkiQvzHJckTzHki8QIrsQZFaZWDnGxpUwwlkRnd0icl9cUqwxSaKZDUPqtQnSNMF7/gtfS63W5MTRp+jc/wWQ4ZoOCZEDuHhcX3+LdUC+RosXqXjn+Xogz2VJ7oOLMXArd3PS0i2pSJOMxb1aypfuD3n/x1u0Bz4EygG3Kp0Tl72dQNB1UVx2ccFtH6pTrMr91cYA7XDieKxWJIDGgZ1Lk4oHLrOtHE1Wm2IqUiWVCmm0rVdJFBM1zY++pc/DT4fc+U0FjSSTIdkfl4JES0aV72LKL10AWdgS2qxNDGnLClQGSJOxucwb1jO5hwv0bHUURauZO7CzvI7W4MsJaIre0rSUSP1+zOte93xuuvE6Ot0unpA+SB8jbMOx743pwHHeKU6ym1a9EHuvtQdzxnZZPN/fpSpJHN3tanBRBXeRqVTlHup5laCSMdJL2HvU4398dIKDi74NLoTn3OU67F1Kk3X1dX4CcIA99t4F7cF8xR+rRXGbCoyrxfPCpQLwY6l8bS0/O5svT/rYbnyhJalQ2fnwkLFh90zCT31vl6NnPQ6cEhjPFVgCpE9iJMNCrmRMrh32LpiuBIjM3AcjMwlTCTCzr1yQ3lgzuitbHKDnfyL/eU6ulePokgK2dMD3FbXQJ4p8vHxJVdJuXx2G2u7ukE1ZKpdPp1A+P5GO1s5BPB40lJWCY1tcuHUmFamS6WxRsri7q1c1oEzHkjmlPJEyIQgTzrYFv/beCT75lQbGd6SJyNlbFOzti7GspTNv8EL62y0Wwn3PBfkYjVdYewzslWTPGOjzlH25K4Mp2NzNeGptN4eybF7q8STV+FLzppcPaI8kP/9binOrAkInEjQCoz0SKRkassZJ+8EsHCyI8yAyz17mvrhx0uw5kxtKR8W+X2Y81wTsDtBLJl9v1HIV1PmOdVGSyZ3sH5W+Jwj88Gy9pu/YsqlJPRgR+tn2HiovRXU7asZrQsrO9rXZxkxLqypAS3/bOiKVbGThljip+DFXpNhxV5USRcoUmZXC5rUmEZrPfr3Olx5slLUmUmV3l73tvRgolEsUh8XXy9hK94C7WtwlbOEAd/w2xkDVdL2lE3erQXdAZ5nZdPaLdCbS5lnPyntakSQKqSWvvnnIG17UJxApJAlo525SjDbEGkYGIi2ItSA2djh/kg/pN9lEKUM2tL8cd5F3JOXvuz/XxetsE1r3Z8b9uZ11orPfs79bvSepIU4gSqA7SAnrM8SpuKMWhmeFkMj5TZeycub2o61a+79v2jRD4EcEXtnyZSv4xu04J/kz7oRI1+lw0uoVPzt7nv/7yv09N9U+ztiu/+3q7NR5betNEqH59N113vX+CU4uOrpb5N06dqvEQOQNDWZNxvJC2ds1814KoLvBUJXAi2dmXYxXCd0BM1nAWWryqmVYpu+rXfja7cA3klR7pNpDa484Umyf1fz8j7R548t7+CKBNAGT3XUMOsFoQ6RhaGCkBbGG2AiSDOR5w3q+iWxq8tcl+MsdK8bAnblB9vfGgG5KoGvn9/SaC6S8CJLU0OmnzGzYzJnl+L+/58++fPTaqy+ze/T0evacD4ZZrYEqNR/ZyK5qjZm70acLALdX0Q0ss/3L5bM5J7pM7Iiq5pa59+0AX+a13WvYPcH3U44sSt7/iSb7DoXQzBlb2bA9kyaedLp1JJXEjrt0llWEY9IEJxgTZR2EK1WqTF5GMxcCNkavXzZrqo6KNjgj1jIgCYHIAs9Uy8xOMwiULXYquvI9kpHhiosTfuhNXR58MuDogijLQgtjG4zxiLQo5Ql5IsfOrkSCyYJPlSVf8uu41OBWthRyhSy4dI5xXllYpvVdP9whCkd7l+C3FwcYPJGgiFDEQLYJVWPmOjyvThSBt3wEbVLSVFXtQSfSLP9wrsnXArvU4LqqwcdYv9TjjiUoylVA5qAW64E719spSthaE08lLHcFv/M/J7j70Wzkca65HWmSs7cvKAZpSlE6KPlgzSK+GJMoEtbR4IZyN7NvfVuT1CFPaZcZukpWEwpPXFaqDUEYaWeRZJahEJmbIjRCiEKPC2Hbh1Ohoa95+Q0j/tk7OvzH902xMnCuSknmrgiMVMSI4nWxa0QWfKq8LiTT1S7oXclldbipALuyCgrnAsgrCI2oEMp6K6DWtmlHKZ9rr9jBK158Ld1ev/gatCY2Mbvt8junG4feuX3zkNCP7Tw8J2DNmazsdneDwqoud33rXE+PB4zrptyd1+OZSanWB3fFEpQJQ2n4g080ee/HW3Rjz9YbFEGlV7K3yLffrqbixzV2UdZZgH3tOIz8II0HQhcyUtaA3H0cy2IWIyUcoLsZzqLzR5cXgRuIai2L9rZ8gKc2dnBQmnq0PPjxt3T5iTd3qRcaPAGdZpIlBp1ijCE2MNIwMplccWRKogVJITly2bKeBheFxCikhytJ3J9pChs0lytunAKllduPDMtRwIN7F9553bVX3Llzx+aSwWfmtvA//uBn+whxxEQ1Wr6kHnpOUc+4YzL2XmbfyDw173rdgpKpXXkisMVBTio+Z/OcrSsMLtOK7z0ObqkS8DXPHAj48J0NOrGX6W5VAXfO3nmnjpc5AGW3uaHI760Be9UxqdikpQ5ZE+1/K6gX6XqHnapgdkcr5/LEnfqbBaQOs2stkDmL62zveq2su5KxuBSaJDa0ajHf9+oed3wz4LH9Ep1/YZOxuMzdtJLJbQmvgezRSLJZEZahVe6XO9KkWJHyfKku3ZZKGTLZgpAtGnbByCfl2n/ElY++kly8xbBzp2HTpmNH3vnbP9f/hX/xn0sGB7jq2n/CDc//CVJ1K4dPhPRHilQ7M5Bcuy+vaKt42W79tqaSrHGZW4y9n/vXwlTYuvS0y+YFN6mjZIoUJXN7vubpQz4//c5pnjwQYnzlyJIc4HY8dDFj0GHvcRBXGoop2TnHcZF0GAc7jCUjvjV7V/oLqOYfKg5LkeV0Ou7HGyL02kYJ66QIJ/DMtbgiNYp0pLj2kph3//wqV+8eQpw6LJ5W3RWHyXN3JTEOk5uxYDN3eHQZKJYBp1jD6EUgORZo5uMgtNMQDfZCqoeCLTOS177oRn7i+3+IH37r9xfH08ufXHHxHGGtzsqZJns7TsGUu3zLvMGhqrMrqfiCrSlZu2BxvUbeFO+PA1+UTcT5e25gKUWZ0PH8lK4R/P4nmzz2TEia24FuQkda9s6liSechgan57JaNTiWoSUfgTbO8KVPuyZ1KZ4F4madpzm43cAyYzTpLtFOzbjWNnmitUBIG2QKIxA5i+vMFDDGBqHaWEYXCqGtAFKp4YYrR/zTN/X4hf/m000ydOTb3ed+uLRMnuRRh7YXnS+AzB+nMCWyns4sSZSn7fPalFxv28jF/rf5wiFxkjzuoTVlqr+8+A0rnZSF1Rqx2cgoHawFeBB4BEFwcMNc7VB3c7gbPcT3RNFoK2TpnFQCSUpgUAB6bUApnECyUmTlAlvoyvPC787BrTQqY+387vkp/RTe/8kmH/1Sk5EsU/DFo7D1Jrk08YWt8R4vg12jw93xBhUdPsbmrHMiGB/fdgGMj8sSpw6lSuuiOJnl7myiTLjko4+zINM2RNi7yBwVKQxGG1JhEFo5aXCDSO3ovu99VZ89xzze/4kWvRh7wDK3pAjKZClXDBRZztw5gWy8m8iKs7KDYhCVIBNHnhQuVFGARZVMsrvUtrE5/94I6A1TZLOGFuEh3/cPShkVh66QKHPzWzh/4p47Ns4HH9q2ZYJaEOF7aaUfck1FYFEnsl4AWbLwmtqS8ffkmOa+ALhlAe6Mub2EbgTv/XST//S+Cc4v+Q6oc+bOpYmosHdRTEU1a+kGl1kXY0WT50fata+qjL3Oe38FkBtHpLoBZ1FRmJP7eLEVZbBZJoFkIVXKeSqimDFutJsQyp97JKli06zml36kww+/qUcrzKfKO8FnLllMCsaQGJsMGhmyZFDpkacGu5GWE3wWCSAz5oXnzzM/3Q1A88pJMyZbUm1IEkO3n1JvzSG85oc+/pmv3bF9+9a1DA4QhhLPDz/ne+KN9Zq8Pk01uaqvVA9WbMCc2deRJ9KVKOPMrQt5oqQt9SyrB3NdnpY6XTiJnFyDh4ZPfbnBr793grMrvh1yI8eZ20oTlWlvL+8+ugBzrz/3BLs99RqGHmPu8QzP/+LNdQcqbL5mpIT72pUqWSmpaxtmgaebvrflp5lk0SqzgY2dZTgybJ5O+aUfbbPUkXzo9hbUUkem5Gyef2lFIssL0GSBpnaCT+vEU9TYqGwTK2NKNs9Hwtlzkc8TNxWWzyWKENZHB0iMQUgfbeRjYa3+uSQdVo5pxbTdevF3su+pL943inoPBb7BV7n+LV2RssNlzLuuuCNuwqbK3GVRlFsN6DJ2xtIiLa1B4VqBmfauaQ6e8vjT25ucOR+U4K4UUlWlieewt6yw9zi4L1Aiu85745Q9ju1xpl8TOI4jHOf9dV5r3IzmeBpfVH7msniFzXXJ4uW8cTvIUxtFEkk2z6W84zt77N4+snlw4zC5dl6bFLIsZJQxeWSsZWiznnl6v2TnJA9CTcnmlcCyuIvKa7ezKQ9G4wSMUETJ8KGPf+aO+/7J973mwgAHeOrMdp48s53OqO40C4+3nJXAFS6g1xRKVWu3VUV+mKrmdoJIKcoMpcvchTwJNIdOe/z7d0/xlYdrUJNrdbeUhYgupEne0ynGGbwsha1UEbqM7ejwHLg4PxszVKoeOe4FQRXVbtDIWqlS+uLlEKBSpztgHpMruXtSjmCWjptSvmcKyWL9cZ2l89Oh5JXPH/KrP93m4q1RhqS1rkqR3s+yiZFTv5JkYI5NCWzXVdEOyMfrVnQhSaog184Fb4A0NWzd6PED/3CGd/yDmTWrojf+xj987esRQkWn9v8Fy+cPZMueG2SOZSHHNLlbHShclq9kLrPX4wAXOpMsGZML7TC3RsoYz9ccPe/xy/9jko/e2SASWVc81SrBcc87L4etjKvI2bsCbLMG1EVHU/F+bp06QBdrgf7Xvbnzwi3WHc97TRrfkSm575yzuC53WbCMnskUg3VPhMweM8mi80ysFRShZ3jrdwxINfy735vi2IIoEVPUkLuXtUIjiLRVM25QaYTAyz1yQea0OFWJGdFUjkO+HYoQ1kKiat2SnZuZ2e1ce8N3R3GcAj/77ADfvHkemPi5lbOXXnX+7LmXp2kf38sTOY4rsgboji0oXRC7v5PVm2SPJfDLqkKbdnflSsncnpdybMHnF353ko/f1SCSWWe0kGuDy8zzLpqI3cBSuK1oTp/phXS4w9IVX9xh55x2hU1H/PWAPhZs5mCvo+6bXgAAKslJREFUsDnjssQUciSfPeJ65HkzsTASkU3DsppbFoC2qXenH16AMHYEsU/C971mgKfgF393imMLQbETSAly90MrDJIk+3lRt5L9BS/7PaPtDMG8dqUymoLSKsxBrXUJ8vxcSDSb5po87+rdX53fvPPnTp+u6u/K9VeerEkeffDLncFoYl9vVE/T1H7tYjmX1dptMa67Cyli1rK2HKsxcRg6v1fBnWcvU6SnOb2s+KXfm+Tjd7rgVmPMXUqTPLC8kCQp2HsM3IwBu7rt+FrLsAR8Sef/K/ge1+MVaeKm6VlHfxdV+vnubKLQr4X+1lXnpfw3ZDWdn7+XSRajJUmq8FL43u8Y8H//dJvNM3HprLhyRTsSJisYS4zV5bHjqljZ4jop+Zbl5etxLZ4WiR6nJxVQSjAzGaRbNzb23fmFuzq7ttW/NcDzAx5H3Z+enKg94XlULTvX5huXJaIaPFY7b5xAUqWV18r57/LiqZy5lUyQKiX14I8+3eKjX2wQ5bMtxIXuls3sdKp8Z4aSvcsBmmutQbfOu6KbGQN9QSVUrMM19eDPTtjrlolXLPCKLMndClPqb8c+Wz/YdDKdTn2KW2qb7/vj1o3bdrisbiWVeAm89bV9fvSNPbw0HQP5Olai0TbrqWGgYahFWXKb17E4FmHFThwHeaU+JdPv2Z6YftB4YmW1+9MXSjmsC/Dnv/BVTDYH6dbtO02zrgs/fLyYym1McN0UMabRqxLE1d/5+04BlcvcIkEqjfDgjvvqfOSOBqOiItBh7UqAKUpp4rShlcDO/O3KjJe/gmNSALgEdanBnc1vHVD/r6oUM3437uvxunBYzzkp2tgcFi9e52zuBJlp4ZnngM6Ls3JnRWGMQmtBkBre/po+3/GiASLNgZ2uBXkBdNuUqTMmj/J68krA6YDcDT7zGnOnKCsPQBMtiBIYJYrdu3ebc0tR+l2vf/W6x9S70MHeccltpMngI0n/qcv73XNNgaDqeTua25EgBagdT1u4AaUDbKvD00yT26CyALxIkH6K9OAz99b5ud+d4pnDoaXlNXq7LKTKW9DyTaOKpA5uX6hjEY6z+Rh4x3dtGL+zzuNfuYxwHaau3MeCy/L3nL018/fIdDf2u1n97WrxTINnupzMDxeFLIEyhig/mP2e9rUSCdfujviv/2KVfy3h9q81QCV240wo0/qQVUuZgoQ0gggL3iAPMPMLV+eZT0sgttWt3NHPzianqC/PE6qbN8/3XvPKWz7SbNbGQsvydsHi5ebkDtNefOJ3JmevXJQin86qsx0WMqCOgbus4x5ja7eAquKDpyiRluCWDrg9C+5P3VPnF/77JM8cccHtsrcsn2e1Ir4jTdZL5BSzXhzGHq8gXJMmXg/Za8DtbmMu/spAr6Tr85NewX+1XFbn4K70Z5Zg1w7Du1pcj0kX43T/FN64kaSmmulMjcqmZil0pLhqZ8I7/1mbf/DSPnYznHG5st7d6vKiUMvYrGecafLEkShuLJFmz3OtnmdJ48Rw842XL957/1O/c9nubeZCh/eCDA4wMXsdcbTK6rn7QXeK5TjfWlBABdxlyavORq9p5/2qPLGZyzT7nTKozOu8hQefurfOv/m9SZ46VFsf3AWLW7RKOVYGK6rzTSqBJlxQhpQaXKxxTvL7eGf4uoVWz1JSOGaWOL9fvuNagWVDRHYOxjKauZ1bqVfJnrtsnl8QGBDaznYQGTXmzopBYs0W20oGxh6wfDvwGK7dFfOf/o82xsBn723Y91X2jfIs57r0KUmxINc5W2f2IbL6/XGcE6cZCqNhfqbFC2+8nA2zk8/KH88K8KC+Y2T06j+d37jhL/qr55pxHNpWKMBNz1e97ipzl753WkgU4Tolwq0xsdpbeHD7fXV+8Xcn+X/a+/I4O446v29V9fHem5k39+gYXZZsHT6EL8kY+T4TFhxYBCxh12T5BNgPhgUM3kCcgCFhwSEsxksQLOHYGDYhyMbB5jZgbINtydjIGB+yJFv3NZp75h3dXZU/qqqrqrufLkuW7d36fGa6X3f18fp969ff+p1PPp+hJTQDcJWCjKh0xzpKR4M770TlTizNd8loRDKcXIvxrP8JyROUQowXgbtwhw1qG+iAoSYZwBtpLlyOnk5GFdC5cgBTgNefNW3RjlnZO9Ww45QZ1WATOGNBhJvfPw4ugB//tpwBtTAukI7iTxapTRS4ObEoi/Y9z4JcB50Iyb/HGwJL58ydSkD/avFJMxtHDXCf7OZh14L1peDK8aT2x7ZGU72ISdboUwxuE2eZWDzc+JgQkjhUhbIEnFH85KESbviipiVZ3xKtBtTSW4LO9jUpVAtaOQa1sMh5D8L9nOIzo/u2jTso2H+0LadVUWDVJTuyfuIOmImR1MTSjct7swMmJIg5OIjKcUiUjwoAJy+hjO+EGXE8c8NN4NQFET731+MQguDnD5aQAC6oUy6u+bjCuZCZbaN0HKnsWUUgh23gEYDn4R2rLx4/bdn89c/uGs/eVe64lo2VZoF4fUO1Blkd+ZdE0zVtKlYHEwvsGe8/o8OOnc+twE0oB2cUv3wkxPVfqOKprUEBuL3MUiKUWuDWETpGegsYw47IATo7uTRgLajUnJXqFrhd0W/Q7ma7ygMayEvsdJvTz+XhNte24zrlscTh4UYHjlSjYvqQVL9s+mm9OHU4ultOXHHyBsWp8yN84UNjuGRFHYwnys6etP5Lw+GMKrFu83LLhC/Sp6iid0iEv/jXyyMP0eo5/dWhk+f1H1RoHBTghJRxYP82EH/ZzlLHGVvCUhuABKZ2m5HijLhpH4zazxh0cmBXviaEcQiP4OfrQrz/c53Y+HyoMr/mvQJtjQloK5WgoSbZSPmsnjtr5HHoCUw/La7T/4WaFfMqPVoVIbKSOmeeN2B0aIoGKCfuAODZgeFONqWu2fipmImn7c+iVIipAYi5OvMmxeJ5Eb70kTFcvrIOlqgqrDlwqxhPkTEKcYGYmyghrR/nlhAAAaKYo7urA5ect2TLqjMX7Ny0eSvaSv7RA1yCnCGM7tja17n/XTMHFyJJEvlwQYwEVHlK7PhJ1/vPCi9jxp+bkQTM5xAe8Iv1IT74+U5s3B5AOKrAFuB2/EwKonMyQHfC0GD4eC5gwaYnjiS2go9zUtv6FQCX3iC/7gBbWB0cqU2MREZWmrsDQDtguUG5GY0JXHCnVk1OrVA37YBFUtA7ZcQFS/cJofXkCuQNgsVzI9xy/RguXVkHTZRFJ+ecldGXp1oX6azVEDIHS2y/odTvxHmM008/GdsPTL3r1m//aqvnHTqDgXeoDr39cxBHU2BeZTeZuu9+sK0Xxsk4dHUtWzVogG1PJDkIbH24VAsykoAGwLYDDA9uCHDTV6vYuDVU4PYOCW5CzKTS5t3ZkiNpQHSRpqTV5wJ6os3vLmhNTpRCBJPcSmtBYmsJMiDWK62luZp4Ei3F5eAVxNawiHRASB4u85twaF24VD/qmR8hKnACIg2DkxxcOaIoQ1mikmcyMIgowZL5EW69fgyf+AeBh38fYtuQBwQWH6dM3gTRgWuqGCiVk9CEUzSoLFjrqXuWlDzB7P4qrlp12v1/+ierdo9PTqOzo+2Qz/Wwknh4fhv27XxoE/M7by13vgr1unpIBGmWKU+VCNF14NNMU8T4dzMay8+Eg4bAxt0+PrWmir/+XBee2RZABOwwwC3BRIkcnX4B7ya0eBKpJyqpkQoF0hvI0RjSYt3WAtrHH3bL6b/V2RwQGxO95uEQJE9phJkf2TpyR99tfwZxKEshTbFM+YLbPiss5eTC1pFzBtEgWDIvwt/fMIr//N4xnDLYBBqSiphooBg5qydvqoxaCRIuJCfnWuMowESMS19zGvp6qrf+6J51mw4H3MBhSHDdwraF8MPq+rap+p2N6b1vEM2nZI0cL4bvRRLcNAFJddtq8gkpzSWVSaQ0LQGbdnn41JoO3H5PBfWEZSyUrTi360SVDx7O5zkpLj0iCoEvQWpJ6iwPh7XR6uM0AhxOLGYW58Yaac6ZnYSmEphA6a5NASiTS1xLaflWUFo21602nVCaAUUEJF2hItWTa2unVIoDhHKlRlSSWFkutSTXD4BGCWZ0xfjz104jDAQ++T+q2LwLQKhuhAiAcPPaEkrUUAYgBoSPWPiYJhRhAsTgOO/sRVi1YsmdK85ctP7AyPhhP9vDBnhX9wyMj+zYOnPeeR+ojz/CIpRe73nDCP0GAr8hqymQJNWqAO4yVSv6wOadPm76igI3mKz4RA4GblYIblfPbbQmzAG1yE8qAUca256BtuHG8GyXVBdsyiP2aHSG+vdOAS+JuSg4ryPdiUyMQ5jRl8POpQIb5LKIrMzLLdJS3GmSJ0FlPy4gqHav5QClMpGVUIAHLwR5OigbQOhxrL68BgjgpjVVbNntA57mWeq8RJMIC+g8AmiAJkJMgWJGtYLe7u67rrrsvA9seX7XtkUnzTnsR3r4ecYAVLvnYGLogW19s1c8Ue3qR1tpHKVwEn4wDc+vg3pNUK8JL2zC8yI5kVSTT0IFaIng+f0+PrGmA2t/rsDtab02PSS4CWBlg3WpiZbcLpALcp7AAjxckIOQjDQvpi/pD2JNRh2hnZ2IHgLTrS0/eY2KI80t1SGcSaXNz5UwtiS70Z5Yx1gOWnagckpftHbGypQl+xXRFdUnJigJgbdcUcNN7x3H/IFI8g5HZSgTf5KoCS+pwxc1+HwKfjIGFo1jYnIaMwdn4qrLzn3izp+uPyJwA0cgwXUrt88CZ4tu7vAeWnjf+u63/t0/TWNsWkaKxLHAotlNvOuaaZyxJEJHiYMkUDUZCR7dEGDN2gq+d08FTU2UU82/DfQCcGvOjbwpXmtH3ArEVhgageN7okHpOlUVA9lRA2r6YgPYtmAWcPCD4Tsr6G2VH0hmqSS1ToDp6L5JxqRPTB7D1FiUHSCEOFRGKActcIBQ2zORyvyGjKigAyqFN4Vy0MpIciIUDZJ2VB5zhJ7AW6+oARz48to2PPaUj4bKZUgSoKMkcPpSiZtFs2JEsXzOIxMU3/nVIgwMzvju1ZecdfPjT28/UrgenfFNTH0NqFQqr/6zZ376h6cPXFBrqglC0gAVEWb1NHH5eXW8/81TOGtJhFpCcNtdZXz8K+0YnfAQQfPpImpiUj2k7q+wzPDKkUr7nOgakywTLe98tqq7ad04Sfm62k+lf4lTVc3aJotyWfuVgYlSYvXLrKv9uoajvI59DjjrzL5Pas0nnHTVer/IbyMmT2S2mFdxBQ3XUa5wWxoDkKhAF9crlFhp9tLYWWIMelTNyygDIhCMTTL8pzXt+M7dFdQS4MwlEd735mlcfl4ds7s5SOIhTgJEsYdmFGIqnvvAh2679uols3ZP/+31q18cgAPAj+/dgITzX3zilu9f9oetI4gEh0jqQFwHkgZIPcaKUxu45YYJPLbJw41facfouFVZtlWwgnaosny7Pbjg1tLbs0LRbFA6oWkaHIqPm+pxGYAXgtsGsgarPk4XbSUW+NVgILLCgD7vQQGeucc0LV5m3SQ4RVr+hVlAz9YYtYGsixdokLtgzwSJW9nHdHihcYXOBItnQM6Y9gpNCkFOGAFlBMMTFDeuaceGTR6+cMMEVi5rgNcI4thHFJXQiELUGz6afC765l/7SxByebVv5VHh9Igpim7nn3kSEs7Xrb7qrPOHvvtAed9UjBpCpfqJIAJgeJjisad83PFAgIlRJsVwGsV7sIgcw7lbgZtlIv7TqsG2xsTJ6e1y72zUzsF4t+Mea22wNIV5Hn4UTWT+kF7FrZukY3NtzQiI5WyV+pGT1H9a1nNXqmiidd5IrdLSc1A9GEU3mBCyErIqoUYhS4en/MSiKzp3oHwgwszu1A1QykG4LElerXK88dIG4AO9vRwkkt8jSXxEcYB6o4RG1I62vlW1oG3pOjMRPfJ21Ed2dVVBWXDj2//0olsueNWcui9iUMoAwYAYePVpTfz9TWN4xxun8b7VNfR2Kh9KK2ayNdBpIS2xwa3BbPNuJ29iJu2aA96M1gRZQKcYJhZPdxP/FDgRWnB0Nx8x8LOm+nQzMTpu9TndlxqBrD4F+nQ4k1BbF04LrJ4ZS6Zl7UxTUDgWT72dWWkoKNIcYUJO8ofGCb60toz/dWcZ193UiQefDMA8+fTixEOzScC9pfXewStuCQJ2Y6nccdQAZ0d9JICbP/tpsfiM19wfhgEbm47P3zs0yZK4jvOXjeHm60Zx+bkNBEygu4dj/TMBNj8fQDBq8euMExXV0luCOyQmj2AxuF2fEy2lWY5qZPTiGYpAFN3QA8P0I84xaXSPzb+tpbaAat6tfcaJoix6HTBvGW20SrehxaC01ml2W6FjGMm9hewJttwvCq/hDFxiOYupjs5nt6t7bHqIGo5UQHjAr9eXsOa77Rid8rB5R4CNOzwsXRBhdh9BvV6B8E5qCv+Um0dH9v+X3pnL4xeC0aOmKLrtGYmb3T0zP3vWkslmgB2fWji4j77/30xh+SIgqnkg4Kh2JJjTF6vsX0SCGUXc24Db9ut2UjxA+5MIx+1Vh9G1SvmQ/mUieVrTFOJKakEODgS97QXylKzfSSp5ieUHrrUm9hJGJ641KG4/4h6jk3VaGphUKULNZ6L6IXOcVEsCAlTGQQi42hUVMKElu9Sjy++xYz/D+LgHhB4AhgeeCPG+z5fx7teN4IxT2visWXM/NdDX+3fTtZHmkT6/Yw7wT35oNX517x21lUvn3bnrbP5JMbUbp83nmJ7msgir14CIIxnVlCKCFoJb+3WHKjKHQeR8S3K5TCwAO4kyYaRHIZCtjUUg17eaHSBZtWC2kezKQfCuqHNuCcWh7fObPiQDXptvC4emQPHunKUTNpUxenIKPQBMMn6uODpVLiNcZZqlxDIicZrabgCVd5Db7uMyyZAQFAQcHoOsV0p9gIYQNMBjmyh+8Jsy+uZcJPj0wjs3PzNdu+qSa18oPF84wAHgVcvmo6u759nt26rvjaawZu/wL2jgNREGTUD5imundmNyd1WChEibj05O7xGj22a0GOgmiU/G9J5uL5DgxMVedl8K7Czgndc7tJtVnpNnMH1U8lyT+Iw+3LVkknS26bjVgjgTSiIkFXGkOIyETzMip5NTgENPKqU0JtSW7mqiCRXult6S7qQmxMrYKcEtKy4LYTunMYAGgFeGx3y0l4Azl1/Fu3uWvrdrxoJnh/fvPxbQPPpJpt16ZpyDZj1qzlv0mq/7fvjhWjwfUzUPzShAkngWOrQRx5TyczwDoQ05LuculuKWNC+iJhYndyS0DdIWPDVlmRnQtmQfmUGQM2seTrM1I5llbrujRWlxrLBpRHbSmfcLNz7kWiNinLPcnCpuxQiRJvLUE1BVSSKxcquoFBQJ9yB0SBwhAA3gMR9tJMY5J3fD87wPX37hiq9P7J9oXrLytGMBzWMjwQGgVF2MyfHdSf/8N22eGBqcmNh7R0cz2oPA98BAVeVZJbFV+XAQagUK5wOGNaBbgZtkouOzDlWFvNvCbk5qZ7anoLY6mW1Z6JKcJD8cbKfWStgU5RDHaBBraa7VgsRaakqiwO1IcZKJ6ySwaI1+UQhDY/TbQF2fcoBTCsK5dOaiSFWIRJFwQWTVIyaSdEASIuDxSKVLkRUmfMGxYGYV73jTRRPXXHH25u079iSrVi46VrA8NhJcN+ZVUPYP3NU/e8V1XbNeNxxjAJxz1OrA8FQAsACgIUB9EErhUaBE5F9IRFpKuxXnLvQQBAroiRvI0DLntwJhXj3oSmxnPQNAkpHWDv05zOfW0jcrp+/O+K7YIWvIS3Zh0Q5XilvSO1UJmgggEwxhVXHLSn5uu9hSx2fFDnOLE4Yk8RAnHuLYB48DdLclKJcSIBE4aWYH3vv2y4avvOTc67bsnb6ro72MY9mOmQQHgHKlEwDQqI3dVh24wqMkuTlo/p/+u3/bxD2/60QSVkC8AIwSKxLHSqmmAJSan1EAbrSYaGb/iiS2DT6twsv2z0hip6CUTVmIC3qSRfQh0O2AWkljggwwlaR1xpA9sSRGkqeep9aE1ZQ2yUpx61rcTA51DR3N5TmMtAaX1kutiweg/Fb0VIBCEAFCiFpyOXGlxqecCwpSBy47u4aLz53Ao5vm4a/edun+a9+46j/UGtFtZy+djWPdjinAdQvLnUii0W92zbycPrp+42e+dtf6/kZcRSkI4FMis73Cmgimy4z3HwrATTPgztETYc6HPNhzE00LmFn64aw72hN7PY/avJQveEgZsS1aiHHHummBOadFsZZcSKHhUBBo6W8DWYJVGiVNigl5XbnCQRyQg8oigFpDQlSKYxlFZFE6Nb/RUfuECNCEIY4ZwoDgPa9v4snhefv/7JpVHxurJ9+c2dt5PKB4fAAOAMzvwidu+dbX46Q/afLln+8u7+3xPQEKPfMn6TtVS0w7GY92fS2aVGaBTe1jWoA5K72R2WcbYQwlIcWgT+/ZnYUWeRMerNnSmdifi9wM9UNSkjsNcdNc3AJ9qk6ENuFD+Xe7XDyFse6jcodTLb3VxfVg4NCSXN5WWoANqkoaZCkUoQQNMl9Bi/7J6QArTp85fHE3/oYk3/xWue+64wXDF2bJPFT79U/uxEVXvu3x2QOd2ztLuGp0aDgs+VSlVNPSmRigKunsGnfylORgPNwpR4LM5+z1rP4a4LZGRjtUmfPalkr7XMbCmWpnMn1NhWSSH3w2nSoamEVUSg9G+xz2gMzsM/p+M4jhfM4ObnurGfD6SGeg6zXtlw7IASFMbc4o9hDFPhpNAlZaPAH/5Ovq9dJ3eue9+yDe8C+8HTcJrlt7AF7pbPtumc2Kyz7+8clnni9F3AfRmQWIsKrZWmCFK5lzgQvZH52K4u3Oj5kHU3a7/q1ceoLUkpkzT2eWDgwOQ5w71CO31/h+G/23UQcaCW5xcliWT1ifYYKOlUCW5xfCXAdQFMeS3urCmsZAEKRRawKpFoUI6w1mT4IBCfCIYapG0NG9qO6XZ/97Qjtvj+L6QZP2HIt2XCU4APziJ2txxdVvEAMDvU9XAvKkH3jXbN014hFKXGliSW2No1YaFFIwAAjNUhyrXyrFSU7jYs5FHD8UQowfinaL1cvUf8Xel56/lcRuIcGtgeVodpCd/Bb3daR07hj3+Rr3g4IMAc7gzQ5i4vYT1uf0ou4RgEmyLwOWE3iVxXW/POfPq13935+ank5OWf724w2/Y6smbNU+8r63oTY5mnz0+lfd0T1j9rXLlsyf9giXFXlhQGVLVIeiZGiGSzlEDgCFUjwrtQt+INJyO0mXBiz2a9sA7IW+b0XmJNmAY8eDUK27BiA3VM0+sRP1ozU1+hy5UDc7h0pBllqtQoTpb+7XZNYCOBpNoK1z/vTMGT3XPvzctXcMD08lS8/8t3gx2nGX4Lr9+O7bMVW6BJ+7/tknaTz/uSahV2zZOVHyiMqRp40BMMDWPt/MAbSleclmqyoAui2RWw8Si0dbfNv4ldvROZnzUZL7TJDl44eW4DmVIwoGbFbC24Myx+1JOgDt62rpnS7hMO3MFleSZ2R5bo5AidmnLZ6UJBhrzB3bNbr4Pa9+e/Dd/3njw1h0+jteLNi9eAAHgN/+4nacedY7cecfe5/o7+/edfrCgYsak+OVfSM1RCprrR29YoeXZQGZS/3QAtzOBBIF56IZSkKz60W0xKY6eZdYWgjmLNDct0ohsDWQ7DdMK0qinjHNnsMaFHq7+xbLExJ7q14TuZ4kvSekz1RGBXmMI0kEmnwA3TPPPTB/Xt8Hzzon/s5p8xhWXvjOFxNyR6TVOqZteHgUge+9c+0Pf/PZW799T//2/VNoZx5KvqplacVXOsCGMGX9rB+wpV4cLtBodn9Kg2ztis3HM5KaZqS9xc3NW6JYatvXSe+N5u/JXMd1BTbnsCbe1LzpnCy6TpVpq/aQVRGPpEt9LjsrQaZGqvLnls/anNfEYwowliDwYxDUANaNSt/q/b2zL/qo4PE32tqPj577UO24a1FatZ6eLuwdnvrGa6++kPiV6c986Z/u69+2uYGyT12LZfpD553zcwaZFjxabysazXK74dE57Uk6EETmtW5ogHN8i2vkWoFhR2s4Uu2I7qa0JHqfHW1G9HHE9knJambkCW2nRHNR2YNDSH9tSPCaSCJV8ABEpjFR+4hyidVvGFl7k4AnMSaidrQPXLl/zqILPgYk3yDkxIC75bN/MZsQ+9CMknd870dPfOF/f+833Tt3DwEQ8KgM5tV0xQZ3euMFr22ak+7k4JLe1ozQrATP0xZicW6bpuh99mc9IFx+L79Aa0tske7eSHG9jVFh3a+JvLfLqeulHqCu5JZ9zTO0+1tS26Y2ql/an+mMwqbqdVDqQ3XmhSPDyaoPCeH/4znL2k8ovk6YBNeNkAFMTce3XbnqvOHtz+1bNDG94L/d9bOHfQICnxmQ2zzSPd4CN2kBbriSHupcxFo3vNTiltY1XV7scntn8pYeklfFHazZAt1O9pPuI0Y6S6lt/L6dSsjEHKT14uRg10wtoTIRp/T5VnKeGHmfSnQhleCEELA0qioCTxL0Da6K4qT0N4PzL9o836/8kJATDq8TD3AAaKt4/OFHN971l29/bbDusY3ToOzL9/7m9wRxjfqeBLl+ZXNhHrYN3HyoWr7cSMtmGZmy5005vHUiQkjxKS26Yra1vniRRT7FVWa740QFOKFm9uBP3WhJ8UUk2RCpSlFl/YG2/tjRPenUUgdWaN9wOarAmXTJqpRD3jvzLNHWfer72ruXfWt6cmezs2fZccPLkbSXBMAB4LyzF+P+dU81582dcdvYVPPeZn36zXv27P2ve3bvQjlgSDhBFIu8fhfZmTzJv1aRAQ05COaJ28fh+xZ9KFL5ORoPUnBOqxVJbJtj6z52f86JdIqyOLbeJ5yLiZbXdji70lnLe7Wcq6w3hTMAVUBEFFNEMYHPIrQPzEKlq+/j1d4F3wsrM7ZHtZ3Nzp4zjidUjqidcA5e1G796lpUewbY8N5tHx8Z3n/jzp3b2YGROqYbsoSccaA3E1GW0W4UTvYyFCbl3ZRY2a6I4dxpMh5idOEFqj+qTpzTnqiLutc9uC9KISfPLq3EQIy6mhM3s5XVN6MVQYvnY2fDkryep/2FAvf4JMV0s4LBwcFkxkDPpxefMuNTO3YOJ6ec8eYTDZ38dzrRN9Cqfe1bt+Nd/+5NOHDgwKd//esHPvzDex4Jn9k6Cp4kYJZKT3N0xtSkkBrJY1xErS+cA4s5jhKizmPUgoxaE85W+m8H7PKxptvUUy4EODJamxYAz4KcWqDWQLQzX5n93EzSrcmqbqll1Iq40YOGORNIPSg4KCUYr81AR9+KxvKzzv98d3fPjY8/8n0sP/eNJxoyhe0lC3AAmJqcQBQloJR85uENW87/zJq7aJdfO3/XnmEvFgyVgMBn8sf1GIHHkKZmS1MhcBNYawPJzY9CFBBcqW1SrWUtma4UtzUm6aQTBuAuiDNvmdzEGBbdKtawOPkKCcCYzsMo5ABNgc7T7YQaVavGtEhLZRPF/QU8Zv4Y4/A9jtCPUGtw+GF/PGsgfrBr8K281LHkQQLxMQ6GaseJ1ZQcrL2kAW63793+A4SB3zE6MfEP6x5/7i3rNuyhIWoIfAaPAr5H4PuAzySIOBeIE1mIl1t5q/PgllLaATg1oGc6iU+am7BAPUjM5FNfw+bkLpCJtb810O17dQxS+t6tnIUpwKkEONOGMg1wSwpr1aAubRLFFFEiJ4+UCPieQOBzBL4sJEYQo78XmGzO5LR02v8Nwq5386Q5sXLVn5xoSBxWe8lMMg/V3vyma7B1++aJakfp/QsWnrSpFP7u9KmJsTc8smEzKiWGwGfwGUHoS4kbJ9KZi0dAzE1gBZF6LSmxoF/TZsonha0FXGJz7yy4XWkN2PzfzgCV/z52cEM25EwfIpAp/54eDOW+a1yNqb0P9mCx6ImyburBFKv7aDYlyBkVEODwPYDRCIw0UelcgrCj7c6e3jOfoMGcLwpem5g7d+mJhsNht5eNBLfb889vQ293+/xfPvTMLb99ZOMbNvz+CZB4HN1VHx1tPkoBRRQL7BqKMDYlYVEktSlBSms8JgeGlIAEnpbmjLg0pYB7A67GBpb0zu5zKYxZ2oMhVeQUTEaNBIekEda6p6Q5s2mG4tNuplmRGs9GJgLs2OujGVOUQoG2UoyOSgOzZwQYnLcE5eppd/rtyz8o4vGtfQNHlnz+pdBelgAHgGe3H0Dg+yf/4Y9blifNyQ9sfnbjRc9veRYENQz2ByiXG7h7XR1bdvjoawcCT6Tpic3ElChQQFpOGUnXPZXqN6UvjMi0yK2AbZDtOjepf2aZB7hzHuuXIfbx1p/+Hh5TgNYAZwr0TDo8yc883Zb6jFBJQbqrNWzayfGjB7pR8gP0VAUGZ7VjyeKFWLRo4X3Vqv/Ftu5Fj4NHmwg79gHBL0Z72VCUbDtlbi8AbBJCbALwxM+8ZNaKs5d9dffOzScnk4+z3q4R3P27CAem+tBVlrnEU/8J9RqnJDXMpS2rRkylPSWgDsB1b/fYnMg4iAixYzLtLLK2LwoAEy2jr6v+uJVHMHt4Sk9Sbs4tpyyAMY6ujmk0Uccft5cxt9vDeSvOSpafsWQTQeM9s+ZfsBvAxiMtqPVSay9bgOumfoCNBw4Mb0x4cnV3Z2VwZt/pa/fvvL3a3ravLaACvnp9cyEnnYlKEceoZS3JnVipDamR5HqSqflxq58+G2hwJO9JkTuBuy0dlOq0RBl/WkVaUCKld+BJr78kIYgSAhpRNBoMpaCKxUtOnrr2Df9qvKstWT1n7rydlNGtL3dg6/bK+BaqcSkGKcFo55NPP/vq53axrz224dl423Mbe4aGDnQMjScYm5buuNUyQSUAwkDSEa0xYQzwfYLAo1Iz41F4jKZcXDdhidgctqztDg2By8EBo9Js1Zw0DsJobhiT1c59Dwh8gcADfN/l3j4TCMMElTBCpdyAxzgmp0OMTbWho6N74uST5w539Z/ibdvnv6vSueyhhYNtYwD4KwXc+pm/4tqGp/bC8xgdHh0rXfi6GxrP3P+5j9x7/7q/uG/9pmisMbp0525SKospdLURlELFtxXwPEYQ+ASBTxEGFGHA4Huyj00nEsuiKjIITf2SRAGnJq7qUPcD8uv63GnOQF24Sd2n7xGEAVAKBMJAIFQAl+NQSu5yGKOzvYEZ/QmGJkNUO5ZO1qIZzy84ZcW3h/74l/99yWvWhH6pqw4ec+LPPdE/3TFvr0iA2+2557bC9z3y03t+gzlzptlAb/nLP3nQX7x767YLxkf3MsLriOIEk1NNMMYQBjIxTTmkKJc8lEOGMND6dUNzUv16gfTV2aQcHg1tqHEluOzv+p/o3Tq/IOdAksgoGS6UJx8jKAUU5ZCgrSxQDgVKoYDPYgjOESUhQCi6O33MGexJ5sztv//xHQPRyrMu21BtYzcMDe0hPInFjJmvPFDb7RUP8GzbPzSKUhh2790/9Lc//PE9wd7d2xNBwrMnppNz9uwdQr02ifYyQ1c1QEebj2q7h7YSEPpS5xxFBPUm0IyBJDFJKXXQtLGgmjQNgD1pdS2ZXPkTyMBekUp9HbXEBZAkAlHM0WxyRDGHEIDvU5RDhvYKQbVNoL0cob0co6OjjLaOPkxO+78bGWs+umD+IDvznEub7dWe/xhHzZGw3HWif4IXtf2zA3i2rf1/vwIhuKjRaF41MTm1ul6bXsKTOnZs24KOCkF7KUK1rYHOthiMMewbLWFsgqIRAVGMNE2a55GUTyccqbTlyjpDiFZLSp6vpbh2JUgSIOFcaVYUbVLZ0uKEoxlxjE/G2HMgQpLE6KhQ9HaFmDXQjoEeD0sWn4SuaoBSufRMqdy21vOCnwmI++YtuvREP+IT2v7ZA1y3vfuHAeDqOIoXDY8M89vXfp8vOmngpPlzuj8a17ZiRm8T23duw7rHBTgvI4oFak0CwYEwpGgrU/gMiBKCZgTEiUCi/oQQoExOWAOPIPCRVkGIuQR3nAD1Zow44mCePF8pJEgSgdHxCHGcIEGCfdNlVDsG0VOJsfzU+Yga45/1xOhzV1x9De3s7KKMepsB/LTU1nOiH+lLov0LwFu0sbEheF7QNTay56LhvX/A4EAtemxT+4fqjdKV7WWGZjPGvfc/ggMjE+hq97BgNoXvASMTCfbur6PRFCiFFONTMRoNjlJIUSl5KIU05cz1JjA2SVAKCBqRwFSNopkQeIxiwWwP1TYBz69i1rzlEIKiswNo8ujnv3yk+YVZndx/zcrTMG/u7Pvq9cborJkDJ/qRvSTby14PfrxaZ2cfAIwC+AEAPPKH/ejoxdPzO6IZHRXweqOJhx55GmKkBkI9tFUoeNKMLr7g9Jue3DT1uuGRJJo7i2LPgQij4wTtFYr2sgffJ+ioCHRUBEYnI+we8jCnn6AWef6Bycrdv390/U2s7Pul0EOlzFGutOHUZctAqI/2dtCuLuy9+EI8R8jgiX5EL4v2LxL8GLYDu34FSsmM3/5uqHPfUCxOnkexayjC8KicDLaXPXiMoKNNoKPCMTzexI79HhbOpqhFPhlr9o8Rgr1vef2qE/1VXjHt/wPczgMEz3AcRQAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzoyMjowNSswMDowMK09hOwAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6MjI6MDUrMDA6MDDcYDxQAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 81312000
{'hecke_orbit_code': 4503737099879129, 'n': 1, 'trace_an': 12}
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id: 81312001
{'hecke_orbit_code': 4503737099879129, 'n': 2, 'trace_an': -3}
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id: 81312002
{'hecke_orbit_code': 4503737099879129, 'n': 3, 'trace_an': 0}
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id: 81312003
{'hecke_orbit_code': 4503737099879129, 'n': 4, 'trace_an': -3}
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id: 81312004
{'hecke_orbit_code': 4503737099879129, 'n': 5, 'trace_an': -6}
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id: 81312005
{'hecke_orbit_code': 4503737099879129, 'n': 6, 'trace_an': 0}
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id: 81312006
{'hecke_orbit_code': 4503737099879129, 'n': 7, 'trace_an': 0}
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id: 81312007
{'hecke_orbit_code': 4503737099879129, 'n': 8, 'trace_an': 12}
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id: 81312008
{'hecke_orbit_code': 4503737099879129, 'n': 9, 'trace_an': 0}
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id: 81312009
{'hecke_orbit_code': 4503737099879129, 'n': 10, 'trace_an': 6}
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id: 81312010
{'hecke_orbit_code': 4503737099879129, 'n': 11, 'trace_an': -12}
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id: 81312011
{'hecke_orbit_code': 4503737099879129, 'n': 12, 'trace_an': 0}
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id: 81312012
{'hecke_orbit_code': 4503737099879129, 'n': 13, 'trace_an': 0}
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id: 81312013
{'hecke_orbit_code': 4503737099879129, 'n': 14, 'trace_an': -6}
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id: 81312014
{'hecke_orbit_code': 4503737099879129, 'n': 15, 'trace_an': 0}
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id: 81312015
{'hecke_orbit_code': 4503737099879129, 'n': 16, 'trace_an': 3}
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id: 81312016
{'hecke_orbit_code': 4503737099879129, 'n': 17, 'trace_an': 18}
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id: 81312017
{'hecke_orbit_code': 4503737099879129, 'n': 18, 'trace_an': 0}
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id: 81312018
{'hecke_orbit_code': 4503737099879129, 'n': 19, 'trace_an': 6}
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id: 81312019
{'hecke_orbit_code': 4503737099879129, 'n': 20, 'trace_an': -6}
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id: 81312020
{'hecke_orbit_code': 4503737099879129, 'n': 21, 'trace_an': 0}
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id: 81312021
{'hecke_orbit_code': 4503737099879129, 'n': 22, 'trace_an': -6}
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id: 81312022
{'hecke_orbit_code': 4503737099879129, 'n': 23, 'trace_an': -15}
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id: 81312023
{'hecke_orbit_code': 4503737099879129, 'n': 24, 'trace_an': 0}
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id: 81312024
{'hecke_orbit_code': 4503737099879129, 'n': 25, 'trace_an': 6}
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id: 81312025
{'hecke_orbit_code': 4503737099879129, 'n': 26, 'trace_an': 30}
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id: 81312026
{'hecke_orbit_code': 4503737099879129, 'n': 27, 'trace_an': 0}
-
id: 81312027
{'hecke_orbit_code': 4503737099879129, 'n': 28, 'trace_an': -12}
-
id: 81312028
{'hecke_orbit_code': 4503737099879129, 'n': 29, 'trace_an': -12}
-
id: 81312029
{'hecke_orbit_code': 4503737099879129, 'n': 30, 'trace_an': 0}
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id: 81312030
{'hecke_orbit_code': 4503737099879129, 'n': 31, 'trace_an': 0}
-
id: 81312031
{'hecke_orbit_code': 4503737099879129, 'n': 32, 'trace_an': 0}
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id: 81312032
{'hecke_orbit_code': 4503737099879129, 'n': 33, 'trace_an': 0}
-
id: 81312033
{'hecke_orbit_code': 4503737099879129, 'n': 34, 'trace_an': 0}
-
id: 81312034
{'hecke_orbit_code': 4503737099879129, 'n': 35, 'trace_an': 24}
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id: 81312035
{'hecke_orbit_code': 4503737099879129, 'n': 36, 'trace_an': 0}
-
id: 81312036
{'hecke_orbit_code': 4503737099879129, 'n': 37, 'trace_an': 6}
-
id: 81312037
{'hecke_orbit_code': 4503737099879129, 'n': 38, 'trace_an': 3}
-
id: 81312038
{'hecke_orbit_code': 4503737099879129, 'n': 39, 'trace_an': 0}
-
id: 81312039
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