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mf_newforms • Show schema
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{'Nk2': 16848, 'analytic_conductor': 33.6329893313633, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [4212, 3, [2107, 3485, 3889], [3, 1, 3]], 'cm_discs': [], 'conrey_index': 1405, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [16, 4, 1]], [7, [4, -2, 1]], [17, [2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504149416743028, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4212.2.i.b', 'level': 4212, '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, 13], 'level_radical': 78, 'minimal_twist': '156.2.a.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q-4\\zeta_{6}q^{5}+(2-2\\zeta_{6})q^{7}+(-4+4\\zeta_{6})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4212.2.i', 'trace_display': [0, 0, -4, 2], 'trace_hash': 172467055148243233, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.016', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.424', 'prec': 20}, 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mf_hecke_cc • Show schema
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2809, 'dual_embedding_index': 1, 'dual_embedding_m': 2, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': -0.8660254037844386, 'embedding_root_real': 0.5, 'hecke_orbit': 2, 'hecke_orbit_code': 4504149416743028, 'label': '4212.2.i.b.1405.1', 'level': 4212, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 16848, 'analytic_conductor': 33.6329893313633, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [4212, 3, [2107, 3485, 3889], [3, 1, 3]], 'conrey_index': 1405, 'cusp_dim': 1440, 'dim': 96, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 17], 'hecke_orbit_code': 549789372532, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 12], 'label': '4212.2.i', 'level': 4212, '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, 13], 'level_radical': 78, 'mf_dim': 1584, 'mf_new_dim': 96, 'num_forms': 25, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 1512, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -408, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -672, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 528, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -720, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 600, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 324, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35829440
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1405, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416743028, 'target_is_minimal': False, 'target_label': '4212.2.i.b.1405.1', 'target_level': 4212, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35829441
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1405, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49540145690447988, 'target_is_minimal': False, 'target_label': '4212.2.i.l.1405.1', 'target_level': 4212, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35829442
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 2809, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49540145690447988, 'target_is_minimal': False, 'target_label': '4212.2.i.l.2809.1', 'target_level': 4212, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35829443
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666388, 'target_is_minimal': False, 'target_label': '468.2.a.d.1.1', 'target_level': 468, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35829444
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554588, 'target_is_minimal': True, 'target_label': '156.2.a.a.1.1', 'target_level': 156, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35829445
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 2809, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416743028, 'target_is_minimal': False, 'target_label': '4212.2.i.b.2809.1', 'target_level': 4212, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35829446
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543037040, 'target_is_minimal': False, 'target_label': '624.2.a.e.1.1', 'target_level': 624, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35829447
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326225232, 'target_is_minimal': False, 'target_label': '1872.2.a.s.1.1', 'target_level': 1872, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 35829448
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562004284, 'target_is_minimal': False, 'target_label': '3900.2.a.m.1.1', 'target_level': 3900, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 35829449
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1249, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697265980, 'target_is_minimal': False, 'target_label': '3900.2.h.b.1249.1', 'target_level': 3900, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35829450
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1249, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504080697265980, 'target_is_minimal': False, 'target_label': '3900.2.h.b.1249.2', 'target_level': 3900, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 35829451
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307267036, 'target_is_minimal': False, 'target_label': '7644.2.a.k.1.1', 'target_level': 7644, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 35829452
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599930816, 'target_is_minimal': False, 'target_label': '2496.2.a.bc.1.1', 'target_level': 2496, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '72.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35829453
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288302912, 'target_is_minimal': False, 'target_label': '7488.2.a.c.1.1', 'target_level': 7488, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '72.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 35829454
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816743872, 'target_is_minimal': False, 'target_label': '2496.2.a.o.1.1', 'target_level': 2496, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '72.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 35829455
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915673408, 'target_is_minimal': False, 'target_label': '7488.2.a.d.1.1', 'target_level': 7488, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '72.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 35829456
{'conductor': 117, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 337, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68753033196, 'target_is_minimal': False, 'target_label': '2028.2.b.a.337.2', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35829457
{'conductor': 117, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 529, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022147553593324, 'target_is_minimal': False, 'target_label': '2028.2.i.g.529.1', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35829458
{'conductor': 117, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 4393, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532465399371716, 'target_is_minimal': False, 'target_label': '6084.2.b.j.4393.1', 'target_level': 6084, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 35829459
{'conductor': 117, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526296936777708, 'target_is_minimal': False, 'target_label': '2028.2.q.h.361.2', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 35829460
{'conductor': 117, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1837, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526296936777708, 'target_is_minimal': False, 'target_label': '2028.2.q.h.1837.2', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 35829461
{'conductor': 117, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1837, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526296936777708, 'target_is_minimal': False, 'target_label': '2028.2.q.h.1837.1', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.50', 'twisting_conrey_index': 50, 'weight': 2}
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id: 35829462
{'conductor': 117, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526296936777708, 'target_is_minimal': False, 'target_label': '2028.2.q.h.361.1', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 35829463
{'conductor': 117, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 529, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298852332, 'target_is_minimal': False, 'target_label': '2028.2.i.e.529.1', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 35829464
{'conductor': 117, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288297452, 'target_is_minimal': False, 'target_label': '2028.2.a.c.1.1', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 35829465
{'conductor': 117, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 337, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68753033196, 'target_is_minimal': False, 'target_label': '2028.2.b.a.337.1', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.86', 'twisting_conrey_index': 86, 'weight': 2}
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id: 35829466
{'conductor': 117, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 2005, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022147553593324, 'target_is_minimal': False, 'target_label': '2028.2.i.g.2005.1', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.95', 'twisting_conrey_index': 95, 'weight': 2}
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id: 35829467
{'conductor': 117, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660931012, 'target_is_minimal': False, 'target_label': '6084.2.a.b.1.1', 'target_level': 6084, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.103', 'twisting_conrey_index': 103, 'weight': 2}
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id: 35829468
{'conductor': 117, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 4393, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532465399371716, 'target_is_minimal': False, 'target_label': '6084.2.b.j.4393.2', 'target_level': 6084, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.112', 'twisting_conrey_index': 112, 'weight': 2}
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id: 35829469
{'conductor': 117, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 2005, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298852332, 'target_is_minimal': False, 'target_label': '2028.2.i.e.2005.1', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.113', 'twisting_conrey_index': 113, 'weight': 2}
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id: 35829470
{'conductor': 468, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1405, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416743028, 'source_is_minimal': False, 'source_label': '4212.2.i.b.1405.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 153122387364159408, 'target_is_minimal': False, 'target_label': '8112.2.a.bi.1.1', 'target_level': 8112, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '468.311', 'twisting_conrey_index': 311, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3525450
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416743028, 'p': 2}
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id: 3525451
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416743028, 'p': 3}
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id: 3525452
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 4504149416743028, 'p': 5}
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id: 3525453
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 4504149416743028, 'p': 7}
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id: 3525454
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 4504149416743028, 'p': 11}
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id: 3525455
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4504149416743028, 'p': 13}
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id: 3525456
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4504149416743028, 'p': 17}
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id: 3525457
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4504149416743028, 'p': 19}
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id: 3525458
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416743028, 'p': 23}
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id: 3525459
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 4504149416743028, 'p': 29}
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id: 3525460
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 4504149416743028, 'p': 31}
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id: 3525461
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 4504149416743028, 'p': 37}
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id: 3525462
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 4504149416743028, 'p': 41}
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id: 3525463
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 4504149416743028, 'p': 43}
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id: 3525464
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 4504149416743028, 'p': 47}
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id: 3525465
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 4504149416743028, 'p': 53}
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id: 3525466
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 4504149416743028, 'p': 59}
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id: 3525467
{'charpoly_factorization': [[[196, -14, 1], 1]], 'hecke_orbit_code': 4504149416743028, 'p': 61}
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id: 3525468
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 4504149416743028, 'p': 67}
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id: 3525469
{'charpoly_factorization': [[[16, 1], 2]], 'hecke_orbit_code': 4504149416743028, 'p': 71}
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id: 3525470
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 4504149416743028, 'p': 73}
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id: 3525471
{'charpoly_factorization': [[[256, -16, 1], 1]], 'hecke_orbit_code': 4504149416743028, 'p': 79}
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id: 3525472
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416743028, 'p': 83}
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id: 3525473
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 4504149416743028, 'p': 89}
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id: 3525474
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 4504149416743028, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 2, 'label': '4212.2.i.b', 'level': 4212, 'portrait': 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UBYw4Zpw/xUynInoDMQDBOPlb5g85RhqW04dlYRej6bZ2H7hohNc0M2zo3YPDdi+ybLeZsVl+/wqKkGh4+1+NrTPo/uS3jyaEyqurzxpW3e+hJLTc2x7+g0h09pTp5LOZOB+8Ci5YYrF/iFd66wY36KU+emObcSstT2WG5LVrspnV5Kbwj7jy6x73jn8sf3nnnZoeOnzz9y8uznb3r1W6N77/j48w2Jb+r2t5rBV1bbJJFFKn7t7kf3v+Rn/suH5fe87MhL/uV3n9ILy1tYWm2x1K6z1PZZamuW2rDcTlluxyytppxZhYNLgg3zq/zSDy7xokvqHD87y6lzDU4tas4uWc4sJpxYSDnXTZieHXLL1T1efBn4skagAs4uh5xe1JxZFvRHkCSG0Dc0wpSZqQQDHD2T0OnBzk0ejdoIawUIn97AcN7mEUurGqyTIqs9GCVgsSy3I7Zt9OgOFEJZhBnRCj3O2zJktS84ekqTGs1cS9IMBYEHSSLojyRnliWnlyxnVxKCYAhewk1X9HjJlYINrRpLKy2Onw04tQhnFxPOLiecXIaDS5YXXrHIL//gCpunWxw7M8uZpRoLKz6LbcnyaspKJ2alk7LcNSx2Jcc7sLq0yn/9V8PkXW/w7xNT7zaqdtV9AvuzFkVYaz3fUHnO299aBv/d932Ml99yPf/yX/2rX/3op+/8l+/70J0XPXWkc/7BkwP5kqv6XLjFkBqNtQprHXtjJSABgRAWLSy+hFNLNR48ILl61zKX7RhSD8HTEt9T+L6mUZPUPUm/57H3SMgXH/U5em5EJ4nZe3zEprll3nTLCldf1OWFl7U5spiw2BfUgyGHTlnanQZXXShZHabsPqJo1jXPHIWLt1qGUcow9dE6ZqYJe44HKJ3iyQTtwWAkedFlfQZ9ydUXpXQGKUdPNblgs6JRj1gdWTZO91npdfjInfD44ZQnDw/ZuXWJay7tMDMb8Yabunz3yy27NjdJ42kOn5zi4AmP42cMJ87FnDiXcvCc4NhqzAsuWeCXfrDLpulpjp+Z5exSnYVVn6W2ZKWd0u7GrPZSVnqW5Z7gbF+x0km44fJF3v2dizJQ4vyTJ09d0O2mNzZndtbqjZkv7Xn8Y/z33/vI8w2ZdW9/Kxn8Lz/6CV7/svPVBz7+7L87dOzMzz2794g6txxzbqA51TdcvfMsv/mTC1y7q87ZpRmW2nWW2yHLbY/ljmalCyvtlJVOwnI3YbENx1cEujbk5iuX+Z6XR1ywscFqr8W55RoLyz6LbcFy20mEla6hMzB0Rpb+MGGuFXPeJgMIAs9y4pyHkAE7Nyou2GrZurHP2ZURT+xvcv3FlnpthacPzNJsRESRx9yMYTCEy88b8ud3TnPpjoTRyDI/JYnTAc0w4JkjQ2peg2svSXjyUMTZJZ9tcwEXbIHzNkcoFXNiEXzPIoRl56aEmaakOwjo9T06fY/ljmJ5FZbahuV2ymI75UwbloYp523r8T23LnLzZZrQa3F6scXiSsjiqma5I1hpG1a7MSvdlNWeZakHZ7qKs6sJL7r0DO/5ySUu3lZnsT3F8mqN/qhFc/r81K9t+dVHD1/3y7s27U9f+R1vfr6hs+b2twrg+/ftIwzD2unTJ8974sln3rH/0MlfeXrPcaJE0o9gte8Y5VQ34YUXnuE//+Qy11xY49zKDEurdVY6Icsdj5WOZqUD7a5htZuw0k1Y7ljOtgWnehZEj7e+tM0bXmS4cEtIFNVZaYes9nzaXcVKT9DtC4YjS5RY0hSUtAQe1ALLdMuycTZGe0MOno546kCASRq87sYI7a3yyO4pzt8Cn3sw4aVXBZxrDwi1IkljZmcgiT20l7C0VOeW6zp87v4mF2yBh/eP8Kjz2hcZEjHgqYMph0+EaOmzaUYz0xDUAoHvC5SAxEAUW4YRdPuW1Z6h2zes9g1LPcsgTdm5vc8bXtzmrS+JwDRZWp3i3HLN6e2OZqUNq92Udi9hNQP3ch9OdxQLnZQXXnKW9/zkOa7YWWNhZZrVbp12L6DX13R6AuHvQIebf377eZf85Y4d248Nh8PBpZde+nxDqbj9rQH4wQMHmJ/f4B88uP+HDx488LtPPPGkWFjuyu4gpTcw9IaW7gBWB5JzA8npbsyLLjrHb/zYEtddFLK4Os3SaoOVTsBq12elq1ntCtpdS7uXstpNaPcMKz3Lua7gdNswM93nO17Y5abLEnZuUrRqHp1uSOBJQBElEmMExkJ/CAjDTHPI/pMWYyPueLjBqF/jom0+N1/dJzar3P3oNNde7LH/TI/2SosXX93nS48EbJq17D5q+Sdv6bD7SMCmWckXH1XcfLliud/h0PFZrr0k4u6nBiSjOjdd4bNrx5BB0uMLjyhIBQdPaFp1jRbQH0iMFaTGEieANGjf0O5ZGs2YHVtGvOTyPt9xfcJcI+Ts8hRLqzVWOu7YrHQE7R60uwntXkK7l9LuW5b7kjNdwWI34cZLF/jVH1vgmgtCFlanWO3W6fQCOn2Pbl/T7WtWuzBKQ3PpZVfZiy66+N0XXXTxBxcWzkUXXXTx8w0p4G8JwNMkklE0eNPDX7v9oqWV9D0PPvSwlxrBKLb0Byn9YUpvmINc0B4Izg0kp9oJN11+jl/7sQWu3+Wz2pliYaVJuxey2vVZ7WnaXUW7D92epdNPnDswMLT7loWeYKEHcTrimosHbJ5N6fUtr3/xiPM3G5JUoqUliuGuJ0KOnQvZMpPw9MEQTJ3Ltiuuu9QQhH0e2d9nYbHBlec3aE2vcP+THjdcHLLUX2VlpcXmzZYHdyv+wSt7PLRbs32jx2KvzcryLNdd3uf+p1Nma9NceVGPc+02Dz47TU03eOGllkvOG4Ls8cRhwcbZmLMLMXc/4TGMFVJCaiznb4n4jhdHdHuKrTOG6y6GKKqz3K6z3A5Y7Xl0+op2T9LpQafvnJJuP6XTN6z2LcsDycmOoD0YcfMlC/zyj67wwovdxdHu1uj0A7p9j+5A0+0rugNJbyDoDVKi2HDtdS+MR7H8N29765sONBq1z/i+Z55vbD3vmUyTdrCm/4OLpx78zZWFvbPHj7eZaipGkQsUrQFb/jYCp0GltEipeWjfJn72/Zq33LzM975ymQu2RZxZahH4NWqBTz3waNQ03ZqkOfCYamh3wQxSNo0Mg5GlOwxYXgg5cdwSJYaTZxKCwAICX1m0FPQHCoFH0te84HzBrq2W87b1GaVdbn9IsefADK+5PuC6y1f449stvqhz/rY+T96v2DatmG/1CVWNKPY414VGqNm+SfD4nojrLqnx8msX+aPbBvhek1ffaPGCPl9+MOJzDzR49nCNC7fWOX9LyoaZiAvmY646P0Upg1YWsNSDgA3TAVHs0e37PL3fcyUKA0VvKOkNoDe09Pruu7uV0dIZWFYHsNBXnF2x1Kfa/NTrFvjOm0dcc2GD04st2r2QbgFuRS/7bw5GgkHkCGAYGe66+0HPq838ZnN60/Krb73x/1le7f/R7HT9ecXX8wrwwWDAKBI/evLwfb926tAXZuNhn2athhASJQUIASgQbqkRAqRwnTRKWpRM8aXkyf0beGxfg/2nzvGWl/R4yRVDppstltt1Gp2Q1sCn19fu5Awlg6GmP9IMR5ZhZIhiSxxbktTdo8THGpBK4GlB6Aumm4KZJmyeN2zf1Gd+ps3nH4GvPuYhzRSvud7jBZd1uffZmGjY4uYXCNqDAeeWGtx0iWF+uk9NBwwTxUInRhnBCy7R1JsjHt0b8rLrpnjxNV0e3avATnH9FT4/8sZlvvR4xBcfarD7WMh5GxSbZ2vMNOtMNaEWgKctSoKxsPuwIE0FcSKIEhjFuO84ShmMDMORoT809EeG3gA6I1joSc51YWSGvOraZd70kjbf/2pDkrQ4s9ig0wvpDnx6A4/eQNEdKPpDQX8oGIwsw6FhMEoZRobeIGXp9GmOnv78rMD8x7f8vZfpQb///lr9+QP58wbwaLiMVMmPHD90768d3feljUnUJfA9EpNiMzAjJAKBEAohBFKSgRuUsmhl8ZSh5gkW+zU+fOd2vvxYh5detco7X7XKVRf0mJuus7RapzsI6A+8DNjK3SPBKJbEiSBJ3FJvs+VCSYvWEPpQrxlmmzHbNvZJ6LH/ZMxH7g45dLzBdFDjhis0N13d4cF9be74WosbLw45b0ufP79ToERAqxmz2hthLCgBG1p9Ol0fk9R400vP8eHP1dl1NuQNN/aJ4iXufmqOOA150RUbecMNHS7e0ebLj/Z58nidJw77bJ+VzLYE9UDge+4idHxgMRaMscRJdrHGllHsLuRhBIMIukPBykiw3AWhh1x76Srv/I5VXnpFylyrxkqnTrtbo9sP6A09eoNyJeiPJIMh9LMLZzhMGUSG4cgyikBIRbvd5sMfv2Njkthfe+PrbrFnz6384aaNM/9nAPyt//QP+MRvrTBY+OC7kpF5z3Dx0Hyo+yTCR8QpxgJWIDICF0IihMhYXSNlilIiW54NnrIE2lLTgpWhYqk9w0fvavDA0z1uvmaVd756lWt3tZlLayRJQH8Y0ht4DEaaKFbEiSRJJakRGCtcFlRYAt9QDxMCP8L3RpxcGnHbw5IDJ3wOn5hBmYBdW3wuv0Bx/WUdVLDAUwebbJuuc+WFsHnDCsudFldtkyTG8vmHAkZ9yXQj4bUvGvKZu2OOnWly6UUep1eHPHPIY8emGa65YIF7n+xy/zOCUeRz2QWzXLYj4LLtXQ6eXubASXhoT539hxrUtSDQkkZgCT2Q0q101rqLNUkhSiBKBb2RoDMUdGKITIKxQ154cYd3fkeHl16VsmU2YDicYqkd0u0F9IY+/YGmN1T0h8rJkaFkMHJ9o8NR6jz+TOa5C8jJlcQoDp5o89//7Csbv/LUiffMT4vkxu//+B8/8AdPI1q/8HcX4J1T/53W1gFvV7Pf/4orHvmt771l93QrnMa0mgwjUEONFDaTIwop3ElTUqCUQCuVPRq0SvG0wNcG37MEnqXup0yHgu7IY6Uzw8e/2uLOJ4ZsmunzjlvbXLZjyHDQ48oLLDs2K0axR5qWaX6BRUqDp1OOnrUcPiNYHRg+fW+dk4sz2MhjJlRsndPs3Ky5cBtcuauDkYu89zMNlpenuPEyzZW72nz5CYFIPDbOSBr1hH7sI60EK1Hapz0UnF0WXGHr3Hp9l/serbF13ufGK2f5h29c5IOf6/LQ3ga9ocfSapMLtta4dEufF13S5bte1uXU8jKfvjdgqR9w9LTHyZM+nhJI6VY9Yy2pgdhY0sQwMxdz9RV9RqOYy3aMeNutIzZOKWabAXEccnohpD/w6Y/cKjcogJ1p7ZFgOHJae5hJklGUOgkUW4YjyyCCYSLcKhF77D/S5tmjd87/yrtrv3X/750X0/ylv/jxX/wL3vuL3/93D+CPPvgf+dfv2yC6p468/dN3HXjfnv2761JGNGojklS7LnUsQtpSa0uyYFKipEQrgVbZoxZ4OsXXAt8zhJ6lFlvqkWUqTJmpCfqRpBs1OHyiwW/8xSyYBJEkXH91nws2RyQJGGuw1iVxpBBIJdCez95jPrsPhDRCTdOXzNcFG+YkG2c1Wzcodm5JuXTnKqlY4rc/2eLosWluvMTjsvNTBkmXrz0VMF3zmJuyTDcj6jUnhYyRtIeK5Z5lqZ3S7tW45cpVHt7dZ88xxXQr5EVXTPNjb1ridz4Fjx5o0BtYVruas8stNs/X2TgzZOfckH/19j6tepsnD8Pe4xLPsyhlEcIA1v3PQpLA+ZtTbr4qIY094iTA2jrDyOPMos9g5Fa0YaQK+TaIBMORYBg51h5FLis7GhlGkWEYm+y9/A6DWDCIBZ1YsBJJenHMlBdx7Nix6V/6g+b7jiz9XvLB/3D0o9df+Nv23T/0T//uAPzHfulPePcHL1Svv/jht374s4f/+NiJZ8PDZzwOnIm57qI+SSoyd8QgZZAFkB5KWZRUKKUyvS3xtNOcvqcYeZJRZAiilFFsqcWGUWyIIksrgVFsGCUQJYJhLBmlAXEasudAgyf2QGotDtpOG3sSfOVqPpoBXLkFWjWYakhmmoq5ac3GWThv84gtG1aJ7TK//ckpDh6a4roLFRdul+zavsJXnkk4uzTF9RdIZlqG0B8QyACrBEkqEdaSpBErvZCzSx7XXVbjBZd0uffRkE0zgnrY5LpLDD/11iV+61OGZ042We0ZVruKhRXN/HSDmVaNmdYUrXrMhkbMzusiAi/B0wlKpUjhggmLu6jiWHFuQRMnijhRRLFiFGePkWQUS0aRZBhJRpFwAWokGEWWUeSO6yhKiaJM08fu/WEEw1gwjKEfCzqRYDWW9EYJNupx2fl9Lt2ZsOfow/UXXdD/492Pbzf/+F1Tn/zRN/6XNNj4L7/9Af4f/tuH2DAVqil14G2339/5o6892A2N3Ak2YqHd5pd/vM3l23soaZDKIKVFKQ+ljHuUFk9ZPK3wtMWLJL4n3EnwBCNfEcUO6HFsiZLUuSJJ5Z5CklrS1JAanN42FOAWApQELcHzINCCMBDUA0mjrpiqS2amBBtnE3Zu7tNsrPLJ+yLufmqW1cUWV5+n2LnF4+IdQ1KxyucfqtPwNBtmFM36kKcOwrOHNFftsPRHimsujrl6l+XM6ZSFFZ/BsM7rbuhyz5MD9p9UNGqSwG9x1YWGX37XEnc9M+Azd82z1LHs3Jiy0tZMtxRTDY9m3aNRs4SBIfANgU7RykktmbVWWotLWBlBYiRJKkgSQZxIokQQx5JR7JyXKBZEsSWKYBQ7fzuqEMcort4duAc5uGNJO4b+KEbGPa47f4V/+8PLfOctMYkxxNHjYSTkn57cO/dDg/iijx1+5k/TC678gW9vgG+ZQQ6Gne9dOHXy944cPhk25uboJ4Y0jvjr+3yikeZtr+jw9lf1mGmldKVByzTT2U4Pe1rjxZpAK4aeY5qRJ4l8QRQLd3JiRZxAFEvnICSl7ZekhjR17kJqM6ckc0tyd0ZJJ3t8LQh8SRhIGjVBq26Zbho2zY7YMNMlsat89B7JBz83x8Yw5OrzBOdt8Th/q2HnlhU++TXL8nLIZZsVMy1o1mPOHpGcWwnwL4BRLNgwJZmehv2HLSsdw5nFkIvPD3nl9V1u+2rIXBMC30fJaa7aJfjxN5zDk+f463tnePZkyKZOzMbphKmGollT1GuSWqAJfAg80No5TFKAFBWQ4y7s1ECaCpKUDOgQp5YogThOHSnEhih/jE1mO+auTGZBJk6S9GJBJ5F0Y0M0jJgKOnzP65Z4+609vuN6S6fXZDQKGEYB3cG5cGAW3ze0M9ra2odwPPPtCfDPfvY2ktS86577n/rPx48ebW1pKWpDy0qk6MqQSGk+/5DH154JOb2yxD/5rj4zrYRRENLph2jl42kPT3v4UUrkafzISZModql0xzjCMVHGSkkCcQpp6pwEY1zAZYzNezgzcDuAu8BV4GkHkDCAemho1hKmmwkbpgfMz6xy356IP72jxt7D05w/5bFrM2zf7LN9E1x6Xod+0uHB3S1qymPDjGK6CdPNETNTCb6vXeLKwmDks9yJWe1b2r2Ecys+521u8uLLznHHQ332nmxRD2I85SPEFLu2KX7g1Yu88NJz/OkdTR58epqlnmZjK2G6nlAPJbVQEXiCwJN4notVlCKzDx3KLa6H1RgKoCepyVa3zFpMDEnqwJ3EECW2vMfOlRkmjlT6saCTCLoJDIcJJhkwV+vw7u9e5v/3fT3qgc9qt8YoCohin8EwoDMIWFw52YpF7bebc1f4X7rjcx989Wve8O0H8DMLbaSSP/qHf/KpX3vi2eNzQggCDU3PIoVL0HSkx0BKVkea//yXHrsPrvCml/W49doum+Yjup0ag1GA7yUEvsco0gS+s/dygMexJErcshsnmaedkll/ZMwtMZYS3C5JmTE3aOUSJr5nCX1DLUxohgkzrRFb5jucbff53U97fP7hWZZXGly0QXDeRsG2jT7bNwou2DpE+6t8+G7NoeMNLtkkmWlKphopUo44uWAJtEQKsFYQxZqdGzs8REqnr1jpWM4u17hke8h33drmY1/2OXI2wNMxQngY2yBOJNdfsMLO7+vw+Uf7/PnnZ3nkSINtM4L5RkojTAl9QeAJfM/FKlrhAmcpipoMi7vIjMU5LakDfA7yJHWSzoEdotTVukR58igRDBLoJpJuAoPIkPZHbJ/v8vLrVnjzy/q8/gaDFnVWVkNGcUAUeYxin+FIE8caKQVER+Y2TW94z9U3fJcyyfL7pZ799gH44tIqga//4Uf+6u5f++LdT20cDAyeEmjp/FqES9h4UtCTkq4MaUeaD38l5K4nu1x3WYfve3WfN9zYZm46YDAMGIx8As8jSjyiWBeBUpIo4lSSJJI4FSSJJE0FqRGl1jaCQpXYPCPqkkUqSxb5niHwU2pBQrM2Yn66xyAe8OWnLB/5yhQPPj3NjO9x1TbLllnJpjmfrRsk2zdFXLhthSePDPj0PRuYUpoNU4JWQ9Cqx7T7KZ/7WkjTd+6QsTAYad5084jPPuBqYto9w7kVzfaNTd7ykh4P7umye79PI0hQUjiQmzrDyGn9H3hlm0u2nOPDd3W4/9lpjq3U2NwSTIWWum8ItcH3QCuBkmQJsix5lkHdZFLNmHKFSzKgO4KAOBXEaQbsVDBMBP1E0EtxMU8U0aj1ectrlvneV3e4/pKUTTMeg2GDTs8nin1GkUcUu3M2ihVJKlBS0KzHxN0nNp4+svHXNux4lRkN2x8Iwm/9WLlvKcA7nTYrqx08T/zgHXfe859u//yX5qJBm1ogC2AJ4U60EqAz5yKQ0JUefU9xohNw6oE6DzzV42NXd3nbKwe89uYhs9M+0ShglLgDFieODeJEkaSKJM0SNmkJcGMz5jZlTVnx96Wr49Da4HspgR9TCyKatQEpA770qOQv7pzm6cNTiDjg/BnLlmnL/LRiw6zP5nnJ1g0x523ucHyhy+9/pkEyqrF9u2C6qWk1oFWPEV5EZ9BgumkRQmAtxIlkNlAkJqEb+3T7KSsdxcmFGldc2OQn/v4q7/lQwNGFBlrF2YWhSZKQYSTZPBdw/UUdrr6wxzNHT/KRr9S445FpTrVrNAJF04eGZ/G1xVOgpUvnCzFeXWcAa9xFlxpBaiFJhfPPU0GUuiTRIBUMUhgkliRJMPGIuXDA6161yjte1eWlV8VM1TyiuMFKO2AU+8SJzoCtxggpTiSpkZAIzpwdsLDy1Y3b2+F/2nnhjcniuVN/4gUNpqa+dUD/lgJ8OBgwO9N688OPPPo7d33lzhZJl/mWypwLxwquliRjUGnRqcWTAl8Zaqmgr3z6iebcKOSvH2hw99N9XvTFHv/0u7tcfl6HjdOKVl0TxT5R4pEkJcjTHOBGYqzEWicJbBFQZql+ZV0QqxMCP8FTEZ1BzEIn5r99MuTwuRke3T2NNT5zNcHGecv8lGCupZib9tg0J9k8l7BtQ5+56RU+/5jhkWenuXq7YKYpadYlrbqhUYsQ3ogg0Gjl/r61kKaSwUgzGMYkRtAdGLo9y3LH48xSi5su7fHiK1b58BdDassKLWMHSKtJUp8odj2e89MhL9zV44UX9Xjo5ac4uiD50zumObda58RSgK8kDU/g5zJMumNfEHkuVXBMnlhBYiA2glEKwwQiYyFNIImRasTWmQFX73Tn44bLU1o1TZI0aHcdsJMM2A7QOpONiihRxLEkzgjIXUgeg6UhR0/dPdfte79z+ZXXrgwGg09/KzH5LQP4kcMH2LBxk/qrT33soj1797dGgy6thueWssSSGIvOlj2V2AzcoFOBpyx+YglTQV0JBkrQ1wGD1GMpqnHHI1Pc9+yARjDih17fZvtcwvlbB9x0ZRctXIuYEE6uuKykq5W2tsLcWRJJCeeZWxKQCc8cljy8R3Pbg02eOdYkSuo0tWJDzTLbsMzUrfPBW5rZKc3ctGDzbMLWDQO2bFjh7qdHvPe2jWyZ1mxoQauhaDUEzXpCLRhx3z7FMNJ4DQcqawVRIgm14tpLBjzw1LQrfBqkrHY8FlcDzi7O8BNvOMuJxSUeeHwDngREjIECQKNI0htoZpoh060GL76kz8uv7vN9r1hgz3HDZx8MeXBPjX2HGiRCMxop+rFCFaUP1cAzywlYQ2Is1hg8kTLlR4TEvPi6HhdsGbJ9Puadrx1R8yWNmkcU1Wl3/Wwl1RnhqMJrd3e55p6a3BBwiaTVTod777u3dezEmYve9ra3qX3796eXXPytqSf/lgD8wcee4Vy/4S899vAPQ/yfV1eXCXwPRApCIqVBpZBkmUklBSrBSYTUohPwpMAzliC1hEpQTwUjA8PUY5B69NOQbjflP314BpvEbNow5IrzhsxNJbztlQPO2xgRxyLT2xIqzE2mP6U0CCn4+F01njzYQGjN0VN1Tp6tE9YUU4FgumFphYZWCM2aYKquaDUVM03N3DTMTydsmhuybWOH1K7y8XtaDHoNLt5uadUVzbqkWTM0wwTPi/j8AyGjvsTb6LpFc4nSqCle96IBX33M0BtJeoOUTl+z2tWcWapz+QVN3vbSDo8+U+fochMlDRBnetkjThWj2CVmekNNu+fTrNVp1EZcvn3IjZcOOX6uzZHTq2gv5YlDmo99pY5QrnCNyfmD1gAGrCWOUnZuSnjHKwfMt1Iu3WnZNAdp4jGKmiSJx0rHI4kVcaqzOMgBOge4i4lk5mqJLE4SWZzkHuPYJZSMVSwuLrFh047//NijX+tfd/2WD54+/li0Zcd1fzsAfuDgUZQ+e0lv9eTvnjj0iASF1hJjLWCQyCw7adHSAT2RlsQIdOJ0YpxavNRpwEBbwtSSpILIWKJUMDKSUSqJjEdsYKHX4itPGiwpf/WgG9ngisfdSYLMLMmqtlxFokQqRRJrpNF4WtIM4IINloZnqAeGegD1QNCoSZo1J4emmpKZFsxNJWyYGbF1Q5eUFf7bJ0LufWoju+Zgpp6xd13SrCXUaxGN+oBarU6g3PcXwgW7xkAcewwHgsEopTtS9IaG7sC4lrmGz4mzU9xyxYifevtZfvNjmmOrAUIYrI0xqSVOPKJYMhy5MtbmQNMIfeq1kHpQJwximrWI6y+O8L2YGy5OeOer+miVZEkggxB2XJRnks4YiRCSwFOAcz+WVrSr20nzmCe7J7KMgbLCtRzcubOVJ5aSTJoUIM8SS8aAtYYHHnhQbp5Pf/fYge49vd7w6W8FNv+XAf7JT32Kudmw9vTug2/dvXufqPuunkNKi1aOJVwRk3MsksQilUWloFKnDZMUdOp6H5M8ok+zqD6P7I0oXxtBZCSJlaRGE5uANLO9qrciSylAC+EylQrCmiXUllClBB4EGkLfUgsENV9Sr0nqoXYAbwimm4bZVsLc9IiNsz22blzivbcZ/vyOTeyYVsw3Da2GollXNOpQr6U0azGnlwwHTweEvos3IK/0EwwjzQWbDZvnh3SGPoOhzVhcstrVNGshzfo073zVOQ6dPsP7Pr0NLTUWQ2pSEmOJE80oUgwiVxTVDyX1oaYWeNSClHbXxRi+l7qEmZeipWuUkNKl80V2d6Urwp0t61bCtsmqLI2La9JUYowkMWW840CbB/j588pjIgrNHefJpex1kkCcuPhMCMlU02P/3t1iODRvnZnfdfDzt3968LrX/681Mv8vA9zTnn/mzLmf6bUXf6bmJVJJ6ewoKUFXC6csqclquVNBmsmTxIBOnV9dBKPGZq9t8V75vKyUc16uKAKlquYGsmDWBVZaGrQkq2kBTwk8bZ1vrAVhIAl9SS1Q1EJFsyZp1i1TjZTpZsJsa8T8TJ/zNi3x4L4RH75rKzNhwKamoVUXDtw1SSM0NMKEZn3Eg3vhiT11LtpgM91bps0HI8UNl1ouPm/AQ09P0x9ZBsOU3kBnIPeohzVq4TTf87Jlnth3jgd2bwarMCZ15bCJJYltUU8yGGnqQ0stVIS+IfA9Aj8l0AatUzztssNKuYYRKV1pMMIiKPVcGZy7EmKTO1Imt18rVmwObJMFjsVrCmDnd0dgDuRpUpJYmrpzKYXi1LlUpmLh3wnV8uv1xq8C0fMG8P5gIIeD4S9+/GMf+n9Wl8/4tVA7cFswEqQRKClJZA5wB2yVJRVSZdEme25cA61JKZ6necbN5pk3i8kycXmywlpLJfM+tuLmbk2e0FEyy1gqKkVbLvsX+IowUNQCQb0maNYsrXrKVCNhujlibmrA1g0rPLB3wC/+0SaOnZjmwnnDdB1aNUWjpmiE0AhTamGM7w1pD12xmKesS25kt9Q4hosTn1Ytpp8Y+lmddX+Y0u1L2jVFvRsQBk3O3xzzyz/c5t//seRruzdhURhrSFNDkiZEiSGKFcNIMQgktZEi9CWBbwl8RaANnuf8fq1sVueTraqZTBFZmXJxy1L7NiMRm9WypBngU1M+OjKS2aMoAZ49TwvWLt20gsCyTLOx5fk7cvSU7weNf/M93/N93nA4+PkwrP2N0/l/Y4D3+x2siX716Sfu+eedlePhVFNlV34JvpxxlRQkKgeyxUgH7jQDt8mfG+G+bMbaxpT/HWus6yKv/I38zgTAy2aJDNwiryl3kkhnrWielgS+GwAUBm4kQy2wNEJDs57SqsdMNSNmWwO2bljlgT19/v0H59l7bJads85hadYkjbp07F2z1MOUehgTpxF/9sUmUik8aVGitAmNzZdwjx94zQpfeCSiGwX0M4D3BopuT9EONKEfEHgtLt2R8Cs/ssQvfFBw/9ObMFaSGpdWjxNXaDaKDKPQlbsGgSD0BIHvMpu+tkXGVivjZKIsy5ILgJcpTyAjEVwuwbktWSCfAzibOmCK5BoZu5fnP60C25DhgCyL6s69NWCyLKs1lt17D4Vf/PJd/+I1r36laLc7Pzs19TebnvU3Bnh76QDWmBcvnHq41qwNMx86X25Eyb4GUgnKCFIpSIv0cA7uXH7Y7Eq2RXYtb79yQBeujiIHdX7gJz5X2buZ1ZnIsmkiryN3AJd4nnT1G74gDNzMk3qQ0qg5cLcaEdOtARum2zy4p88vfmCWZ47Os31GMNeoSJNQ0whd/UotTKgFEZ434uTSDJ4SKGkyW64MMtNUkiSKLTOWJInpxGHWKWMYDFO6Q0mtrwh9D98L8fQUl21P+JV/uMC//UN44NmNpEY6gKeWOEkzJjeMAkMYSYa+KiSY54GnM+dKSZcLyOvtBYjscR2MO7lClhRCFMkhkyWH8mxxLjWMqQK8Ij9TW6zEBbkV5zz7WUaCo3bEHXc+VNu8ZeeLhRTfEI/fUoD3zv4F9alT9Sce/Kpf9zpMNxXDkcjqQARJassvmQpSmZ1Ulb92TJ1qJr4kY89t/sULtrYlcz/HZ5OiLKJyDROiALeSMmuUyOUJhB4EvqEWWmqB08/1WkyrHjHdGDA/0+aR/UN+4f0zPHV0A1unFRsahqmaoBlK6qGiXhPUQndxuFR/xAO7Bb2hT6jILjJRyLc80IwTTSNU3HRllwefadGPnUwZjFL6A0U3UAS+wvf8TD9Pc/kOw6//2Dl++g/g/t0biY0kNiZrli57MEe+JPCNY2+vrKPXKr+TyZRSxsksy7seyPOkkM0BngE+LZwX1l15TSZFTIXE0tRmP6+8LmIvS5xahiM4u7rCb7730/6tb/779X//+5/v/9JPvu5/P8CtfQzYOd0/8xe/X/OXXxZ6KVEQAq6oRyUSJSvLk8qvzIzVVX4Q8tdifdauANoUwC6bgsm0d3EyhCsoEjIDd1ZkpAqAg8oqBj0NvofrBPKzAqsgpZbJi2ZtxFRzwEyzw+MHRvzC+2d44shGNk9rNtQNUzVohIJGTVGvKeoFe6eEQUKzPuTuJ3xW2yEzM2WaPAeMybRpnCo2zile9YIedz9sXBdNZCogl4SeJPQ0nvbRuoaUhst3WH7tx87x039guX/vRmKjibMKQFf26pg8iGVRXehridZZEZYUKJ0fG4rPl1+EuVQReVUaZUJo8m4qj8ZUHouVdxzc1crOtPI6Z/QkK/QaxW52y0o6etm+Z/f/4b/9yTf85Muv27v6mpv+56Zm/U8D/NypBZDtn06WD37vqL+EELNoZdxoYKRrXEizuuO0BLrT2flVXl7xufxICxlCwd5jgeQkc2dIzzNyhfaWeQVdqbvzikGtcPUZ2uJ5rrE49A2hn1ILE+phTCMc0awPmZ1q8+i+ET/zB/M8fmgTG6c9NtZTpuo2A3fG3qGkFjj2D4OEehCRmBHdKEAoiZczeKHBRcZemV8cezT8oSsXiEJmcpAPU/q+Y/DAl64mXucb0FquOt/ynp88y7/+PcP9ezYRG80oFUSpyVhcEMaGwLP4nutd1VncoZUrEVZSZscn68rPHyuFWcWFWY11JsBdkFCFmKrgLuRHlcjMhFzJ8FIWe7lWxVNnFji4d9/3PvX0+QcHo/jf/m9l8BMnTzK9cevOT3/iD6/WsWG2NU2auoPiBtCYgj3TXHMXgaMowF1+UYrRaDYPJm0ZiJVMUWYlbXXNzFm7GlTmy23WoaOyYErrrDMoK0LKqwdDL810c0wtHDHT6jPV6PLA7oSffe88jx3axIYpzYZaylRoaWbgroXOTszBXQtSQj+h1YjYfcRy16MNfCnxlMmCuFJH5st3nCoSo7n1+piLLuxx8FiNDXXKPsdRSn+YsbBWaO0VCTMhLFfuhF//8UX+7R8Y7nlmA8O45pJhiaWe1XAHHg7kOl+9TNHbKlVarHBKigrARQXkrNErJcjtOMCLCsVy5V1vZS7ZPZcppaPijov7PS0t22YVLRY5eeipq3/4h35k55kzp45u3rz1Ww/wpcUzNJqt8/fvfui/pnHvzb0OeCrA91xGTKsM3FJmWjvX4bm9ZDFpLkfEmiUt94dt4WlPuCRr3JKMuSfBLSxS5bZglj1VGWtri68NnmcIPEPgJ4R+QhhE1MMRs1N9Vrp9vvo0/PpfbObJA/PMZ+CerlmaNUEjFIVX7pwX49jbdwCvBSOiNGU4CAmVu8ikqCz95JpVZIGmdlpejxhFlkEsKgA3+H6K72k8T7qpAtIrAI6Aay4Q/PpPrvCfPpRw/545TrVbDBuS6dTSTCxhNnEg8Gzm/edOii3YO5cqOcCLz5t96CrOC4WYnZR8VS3BPS4pXTVnBexjQC8BbrIkXi5ZrAWlIPQFJh5x8tTKm++7/4H0mquv+hcnTp46sn3bNwfybxrgq0vHGPTCG5fP7XnrqLOP6aYqDnQBLClQmd3nAsmKZ2ozvZ1JEQdqkS1tecJmXIpUAZ4f4qoqzE+Cy5Tm7G0zeWIrw4FcWaynTTZmIi3AHfgZuGd7LKwM+LU/q/Ppr21gsTfDhinJhjADd+h0dz0LLGuBpB7YjMGd9g6DCIi483GfldhnLmCsHhsxvkKlqWt+aAWaV17X54G9Ed04YKroWDf4I1er7msHcK1cQ7aQLkGDhct2SH7zn3b47AMDfvUDmzixOMNgWjPtC5qJoZ5AELvRy75yA428PNCUogiC88dqoF69MIUoekWK8wMTErIK7Er8ZCrgzwktnQB8OkF4ef38MBY88MheWtPzb9Ve7c/6/cGRbymDR1EPz6tffOLQPf8s7jzOprkUrY3T22MnzmW+VKXRILWybDqoau0C1LkEsaUNNcnaVVlCPvXKHeg83Zy7ACoHuLJo6YDtejtdf6fvpfheQujHBH5MszZA6z53P5Hyh59rcdu9G4lMi40twXzoZImzAHOfXGV3kTF3lb1jtB5x37PT9CPNlnr+eSYZPA+yXSlp6ClefPmAxDiAD2LhutbzzvWRccGhzmbDZPaeyJLrFsH8tOB7X9GjGZziA58b8NVn5zgT1+iHklZiaWjrQK6zOETZLC7Jit9kfgxFWTsuQVKy+OSOgoVUyUdUMKnNq91DZe25zfV4dRWvPM+xhMgHGFmslXzx7qfZteuSf/am19/yWKfb399qfuORcN8Q4NbsoX3qEyTB9Fad7Hv5TOMEca1eGP85s+ZANaaS3jUVh6TyszE5kmttsmTCGLAr1kPVvhJ2QprkWTlXMehGu5ms5jsDt3K1GIEX4/sxoRdRrw/x/T5/cYfmN/5kIwcXZvGCkM1NwWyQ0gosjQAaWYd9LXDZzjBLCLn6lTRbCZw8Weyk9CIfXyl8aYsAk8pXyS/svHYjSjxq3pDN0wNW+00GscjGrblYwfPSzOZTmd2pHMDHAldX+fjml/a44YoFfv1Ph/z55zewnDToBx4NT9LSrgYn0OArimYInSd9spVPFlKlTABVSWVcrFSBztgKbMZYvarNJ+4Vs6HqyhSrtgWD4thih0/dteflR1aSrYtLnf33PnaEW647/38N4Gma0tz26vPT3sPvDey9zEwZRpGzuFyvY5bGtWCz1zmYrR2XKNaU9Q0l4+cHRFQkiZiQJsVXLdkky77JKsCldavKGHOnGcgTfO0kSeCPCLwBR84mvO+zDT51zxyHzs7QqnvMhjATpDQDm6Xec3DLDNyySAqFmfYOfHfhtBojPnmfZv/RGmE2gatoF6NEeTHGwTodHieay3bCG2/o8oe3z9Gra1rZ7JEgyuIGZdBaZmPrqIDcq7CRWxXOm5f87D/oc/UFJ/iD22Y5dGaK5aRG39M0lKCeAd2X1l04mctUrH75cc3tQ5w+LzOddq1PnhNTXjpR+OZrLcWii8iOgzotLoRKjVH2fpQKFiOPj3/lKV74gove+/1vuun1Zxc731CqfF2AD0cRSns88Mhd2werj+66fP4krcYcSrmNSZMKyE1WZlkyuKwwerV4p5QrtsreVhQsULJCTtt2TAfmwHaP+ShlB27nmuTsneLpxHXu6IQgGOHrEd004nc/6vOBz27m5NI0RtWYnVLM+pYp31DPmLtepO9lVqeSSZPMOy/A7bvs5SiO2H8ioBcFzASZi5MnnXJXIs/C2kpNSqxpNTQXbI9QwZBu1GTgC2qxZZQDXKdZokY5H1vmJcDrBa+KDVN9fuLNfd566xk+8NkO7/v4HIuDBgMdEmpFXQtqyhIk1rF5VqevZVnekGc51zA568iVSYcFGIulcilSIbIS5BSStag7ysoCUuv6QbupoB+n6OgkUfe+XTIx22+5/pVHTBohlf83A/jew6eYn21tOHG29tH/8J7HvPf+O8mVFwwwxvU0Jll9cFoAW2ZsPsHiBctPADsDfMnY4jkylLZiB9oC2GPyRGZVcip1ANcpWqX4XkzoR/heRHsYcd+Tkr+4o8XH75ljmDbxfZ85XzDtGxq+pR5Y6n4J7jCQBIEkyKSJSwxlzkQGcN9zmc/Dpy1ffaROFHsEDbsmwMxvZTrbEUEUKzxP86obunz4Sz32nmgwCN1ohpFn8RPwYoMXGZRyo6WdjJDlcB/K45kaSWIk9UCzaXrAv/6ePpefN+LP72jy8O4pFgYNhsrH8zShFtQkBPmApdxeldblEwQVkI/XrEwWZ1UZPSeoSUcsf20qTJ2DPK8OTXMb1QqGBoapIDIGOxhxxa6YV197m7drx80ftfHiCzArC39jBt+6cVbe+eCzN/72n3x+qj2I6ccWpYf4nszGGGsSqYtgspAoGeBLOTIuS4p7DuxMolQZfKzwx/XoOCYvUsqmKPd0utuiVeoArtJCjmgd0+7F3Pu04I9ub3HHo1Mst5vIWkizppj2LC3fUPcsdd9S88lY2zF3LZCEviL0BaFPVqFnMnAbAs/pb6VH7DsBJ9uhS6xk+nY8cVLWz7g+SAfyxEiiSLOpJbh4x4CnjiX0Y49RNuPbj3DgU/lk3TxRA3KiMye/eHIbMk5dffg7XjXgtS9a4cuPdfnjz7d4eHeLpW6dtvTp+RpfCXwpCCSuh1O6XeqUKC9SJbKy33UYfE39yiSTVwjNUAk8rSAlSwhmrJ0YiC1E1jW8GJNCOgLTpx6MCOQA2/7LKer2RlG77na+zvCgrwvw3QdOBhjxe88cOtfod5p8/qE+t1zdwfdG7krOxq05QMtSruTypALm4rnJdWgF4JUDMsYLY9LEUi3Qd7Ikc3KkQcnUDcTP3QwZs9BNuPsRzefubfLpr05xrtNAhCFe06OlYcpznTw1j0x2QM0X2V1mJaeZ7vYFQc7eOcB1gu8nhH6EtTF3Phpw9HSN+VmBlzlMhe02wXa2YqGmqWIw8ti5SfCq6/p86msRvdhjEAtCz/Wr+tlkqXKVUoVf7eaoUx5XK1xfat6oYJzfXgtGvOMVA77jhiX+6p4un723zt1PNjnXrjMQPgNfoz2FFsK1EEqJJ2wmtSwKUZGG4/bhOmQ+5oKVzC2KADStMHZS3AWJzbOeBmwKJnIAT0e89sY+m5senZVTjXogf0+Ojl8ODP5GAD+4/wALyz1G/ZR+L+DepwIW2x1m6iOwbqeF1KRZMXwl6LRl8JnvYZmDfOwkgOudXKcmcCygrABbCJPZgQaRAVzrFF/HhGHMcJSy9yQcOaX4yBenuP3hFudWGuCF6JZHXUmanqWpDTXPUvMg9By4Q8/NJHRlprJyF9nPbQZyU4Dc91x72sFThqcOB+B52TJvKyl6MYaCahDm6qUFSerGOV91wYgrtvfYc7LOIBTUE0EQW0aKzNozGXvnbkpuQZZapfDZMyvSGJVNH/AYRh612oh3vW7Em25a5QuP9PjLL9U5cipkz8k60WpAEmiGWiOVm+qrAJ095kxeSBfK4H/NrXBTSlAbKrKEnLWzY4F1k37zu0nBxGBjiGNmZyJuuTpiqqU4cdpyonMMK1a/HoSfG+CdleMiikb/7Etf+Iv5H3tTm6880mEwsCz2JfObY8K+JY4MaaowVmUgr3a0V4EtKwGlyEBN5XEC3nmkXmg+l9RwksRk8iglCNwk1SRNObMEX/yK5uCJGnc9WOPkSo2DpxoQBKi6JtSKhrY0tHEugucG54eeG9fmQJzfZXZXGcDJNHcGbi8l8Bx7uwsr4vAC7D5Sx5Pj9mAhUSjrwQtHIXdSTNbXmHhcsXPAxRv7PH0ooZ94NGPBSIOfFSCpCsClFAgpx5gcJu03UQSzeR9lnHqMPJ9WLeIHXjPipVd3OLnS4c6HfA4dD/jCo3VOLYWkAw8jNbGvEFK6lSLrypdkGU8oZMt6IB8LNKlmqXO3JXs376W1GWvnd5PN4eunbNiUUq9ZHtoj+ez9dTrdo/M/9APf988OHD7xnosu2L5u+PbcDN77BJ5Nv/f6i55uvOyaRd71hi53Pe5z2z0hJ84qts2kXHR+hIfARBJj82BzHZBnfX5URjmU7WWTgaWtROwlaxdSRKV4QUqcWg4dFzx1SPHFB+s8fdjn2cM1OqOAURSA56NaHoES1BXUtaFW8YEDnddp5GWzri48yGSJ7yt8X2YXgC21t5e6zKLndH7ox1gTcXZZMrIBWkt8adEVm22CwAuQp3a83zFKPASaDbMRUg3pxR59LZzTEZcFY1qZsQykFJUoNh92hChiory1LB+M5KWqGD/RH/lsnok4b1PM9ReOGEQDfuhwm6eP+HzxgZCnDoccOhYSJwoChZUKhCSVlWxQkaRYR6uMifPcB84fTeVx4m5SiA0aw67zI7bNJrzg0oiPfKnG3Y/WObwQ0GqcbfSDr36vVuo9/1MMbjofxCSrKu48LLZsOE2jPkKFKc98wuejX6gxHRrO25Fw1aUxr3nRiFdeG4FN8DxLrUGmsyUYQRI7wOeB5BiDVy956wBNNr/E0xaEQUhLHFn6Q8foR05IPnRHQD9WPP5syIHjAYs9n1Hqg/ZBeaiWwpeCmoK6soQKN85MZYVHyrG277l5iX4V3J7Ez2RJ4EPgk7kmLmXuaYPvJVlGNKYWRpxbSfni/U3a3YCZKYHOvPi86Es8F7OZSkBoJKORYn5O8dqbhnzh4QHH2g0GnnQyRYOXWLw496wzj12mzi6kOutEFn/DWD1WMpGmEj9VpFqReG7sQxx7zkr1Yhp+zEuvSnjx5SPe8vIh+45LntjtMYgUf/7FOofPeCAk/YEmjVRevonVOcAnLKNq+nYM4IA1iNQiTClNao0UzzMIa3jldSNec8OQKy+NOf+8hKnQ8pefr/Ghz0lW2yP6o1W+9LVnxBtfdoX69d/7WPIz/+ht3ySDC5De1O/6+tw1PdvhS4+G/NnnWnzo8w36sWKxD4eX4f6nLB/9UsqG2QRrLNddEvGOVw9dV0YKG6YM114V0QjdycSKIgcm1vmj+XCedl/wxJOapY6kFkoe3O3xmXtChrFiGCtOn/ExQhNbDyM80BoRaLSU+EoQSkuYATtQlkBZVwOuM89Xl8zt532ZBbhV1qMpCvb2PYPv5wVaacHevh+jVMRXHlN86mtNlK+d3Tamv5+bwXMvPE1zx0MxHHq86eYBn76vw5/fOUUvCWlkOtzLdXicJ2Vs0S0khCwA5v6UrGj9CsBNNtpBOyb3tCLRGp2kDugqRSk3SH8mTLj50oSbLo2xYsTbXtFnGLuky1/fE/DQbp9aIFjsKJ542qfTl5lKEjynKC92nnCtgddeGzM/nbrivNTyjlcPuPbiGGtgw6xhdtqgs/JnYS3vemMfT1n+9PaIhx4L6S3Ia+anb/xda/mJb4rBrV0GZlpR97cvPXA8Uf/lz2f47P0tzi36REI5D0k4u2dkLWfbhrOrbpnZd6zOZ77irkSbWqZmDDdeE9GsufrfddOT1asqcx1We4qHn/LptBVSSzcTxWrHTEK7MjOpQWqklHhSODBLSyANvnRA8BX4qpzR50AuyoYH7RoB8sbjKrgdw2dltV7O4GnlnhDoGGsjTi76RKOQYEriZ2lvlVXljWUxBSV5VazTojvdKKLYY6ap2DEf4YshgyRgkAhq2g3BzGtI8oSWktXyVln8Lfc38mSbKbOnxmTNJ6U0SpI0yxuobC57QpykqNjlErRKkTJh+7zJVgzD5ecNiewAqQ3ttuDhpzSrfdfsMinI11gIWR1KIzS8+JqYqRmDTdzKXlPu2LnPrjCJR5wdJwF4KuWdr494/Y3LfOY+zftv89TC6uDS//wz72y9863dzs6tza8P8INHzqLk0nseuP/IK37rQyEPPDlFJD1XuDA5DQlw+sl9jcQa2rmmUpbOquX0VxqVr7gewKv6LTs5QmDyLRfIak6FKoMcKTMrKwd1lnaWZBu35r5x5VFnnfSKbOs9CnC7ti6Fn4Hb1xQlpo7BMxbXBj/LjnpeTBDEHF80/OkXGqB9N2NRVhI8Y+AbJ7KcXfMhoQ5sLnEWxR7vfO2Av7p7wLNnm/RSj3riNqV1VYC27MRReU6gGuzlFXC5FJKVAq/8bopaGK0VXurmpXgZ0JUsk2aubjx7Lkw2OChFC4uwKfN1w9+7xYBIM5kJiHz/jHXOeVFjJMAoTKyLOC2JJTF5/EYmZ8uDJ1L3fTdOp/zQ30+4ePtxnjn9+CuWl25+T6iSf/wNGfz9H/kESgn/Q3/VY9/JTW6jSCHHg4nqWWJSW1UelSX17MTvT+I7Z7cc4OPBi5CyaKJQAjzh0sqBcNWCnnSvtSSrqci6x/NCIk1lDgrZzmxlV30JcFnIlsC3RUub75vK4JwEL2NvX8dIGXH0jGChEyK0JpCMyRNZ/VqV012VDmPAy5yOKPGYa43YuXnAnjMjBqlmmEKQCrzU4iWZDk8onKUyha7GOhXyU+Qm7eZdVaIijQw6NaRKonS+fbnKitVSpDLZSmFKazYDucj/NibLi9jC9cqBnjtg6wG8TO5VH0tToijhKP5NdgQFRNlneOlVI1505W5OHvlT322+9Q0A3umdQkmwvsSrN1BKjS+tlROUP4fc7ikfS1B/PVlC1pVTKawXAkmZIi7GLAuLJzLQZhIgf168l5F9WQpK0WDrK+HAPgZu6R79HOh58JmBO+/+0aaQKJ52+tT3YxJiPntfjbMLNbwphV+t4ag6KBPUUDBrRR9Xkz7DkZtg+4aX9LjvySGdJKSvNbXEEGXpdCXLgqi84EwIQ9k5lAeaorAlnXWYzVSxkCr3N7URJEqgU5ntYudqeZIM6GUyzRQJNilNJfGWPZdVcGc2b7FXzHOc/wmAjz0vyjhKW3nyH49kyFJH8eSRU0i5FmtjAP/Tv7yD6VZ4y+9/6J4bksFJttQNFlNOkMI6Tcd4ynXczHcf4htNaikESZ4sEKDyR2HRUFhtKksZu/kmpcbNZx26R1GMQqgCu5iDonD9iOsBPA84c92tc1liM709XkvuezG+F3GmbXj0QA20j87kia4UKOXZPjGBcHfyKlV3RV+qLDzxOPa47qIRc9MD2it1+omirsBL3HdRqRugpOIqwHEgL/6QnKjUFFnfZFY7pAypEXhGkCpJqgypEiQZyKvFa3k5hMxBXgF1XjIhMBnIyUqac3FRJu3GijHG6lfEOmBfJylYyafk5SASxY2Xb7ohmH39Lcf2v+3e8y5+/foAtyZmMLB/b1MzuXbeH2KER1zMBbRF142xtjTsKcemTTL72uCCMjtZAbjbXZgseTA+ck1VQJ4zls5rI7Ia8LzU0zUX550qTpaoonulBHbefOvYO9PcmkJv55agY+wS3F5RnRgjiLntnoD7nm4iA40vhZu/XVQQlm10ZcXfZDZzvDDNeeKK1CgGQ4+brhzwxpd2ed9tTaI0oJdKwtQySshWrmrVn8nknJm4oJ6LycFombWMiQLcqZIoZRyjS5mNljCVUuRqDZAtQT6Wbc6ZPF+kKzJVrCXz6si9soYlz5tQSpZK4V5ZgiDpD8Grhdduqg//njHm3nUZ/MjRE7Rajdd++jNf/gfd9iIzTde8OkpEBvJKS1FRKFNhB3KJMrb6rBmpVp27kYM7B4CsgEJS1jxURxvkzO22IMlfkzE4RRvWGItn3TCeGge3G6cwwdxZz6aftbd5Om84SCr3mIiYv7yzRWoDVJG9rAaYZV9j7myMaXAm2vWMdNOh0jzY1Ag83vHKPn/22RGrJmaQhgxSgZdQsLiUFpmIoujM2YWT66esWJOiAnJBqrPRDSoDubYo4+SKG7PnKhhd9lgWpcmlRVmt7izLmIumlALopVRZC/Dxtb0K8mLloaxIzZNjcSKJIkVvKIm6bcLp/j+4/JpX3rWyfOoLM7NbxwGepglxHF8Ux/1dadSnGWr6I3cqpBDZfO/qlKmchex45Rhf/yZEhckr8qQA+kR5ZnU3iKrmzEFfne2hlCi1eFZxNzbsJgO2VqJ0Ugo70HXcu8ZkmzF3GWDqCnsHXsSjByT7T4VY5aGkxJcGPVmnURHgky5Kfs/7U6udULmjEiceu7bGXHFhj6/tqxErn0EiCCV4qUUnIpNvWRdOkulwpJMLY39SVFhcVKRROcojnwmplSlmSKpM+pXgzmuBbFYmkDM5xeohKuBG5BOz1mfv9W7VMo5qabWtHB8329HNYxxGmuX2kNn2cNdoFF0URckX1jD40vIq/cEITEyzrugNXcSeGsfOAoG0kAqKptJyqS0P4jf42GPSpAB8FegVcKui5ru03UrJIlz3vCjB7YJMUXSL6wLccgzg1eE/rtueAthFtrJg7hRfu8SO6wqKscR87M46S0s1RKCd7169CCdrUEpyGrMI8+baah134U0bRRxr5mclb39Vl0cPtBilIX3lU0udFs/LWZUkA3e+VpjME88FpGPxSVY0ueysjtkz7nMok69ItnhebqueaXCZ73eUSxNZNkdMMvhE00qZ7ltLiWU5R4mpYnqWdSOd03zHiNjde31YaQ/pdZYYjYbFf6sA+Ic/9hmEkMTDDp6nkFE+BsKiM4oWxrFStR1p3P37+vyd+/+lPJl4rAK6yuJj48VKxpZVBleiwuK5XJEoPQ5wX2cDgLx868Asw6ktXpGKN9nzdOyulevcefYofPSOJiPpo6TKspfjF+JkBnNt/J+fTCZ0eLYEp4ok1QSp5u2vGfJHt/d58lCNWHn0pcRPTeYeCWRqK8fJuvYyUV1PTfa3xvctqjJ5akAXFqIbba2ykgCV2nJYZzGXRRQXdDKhx935rBbLUWHyHORfHyuTILeV4rR8x+a8Wyw1gNCcOXmAB+85RZqWEk27/8gJYFv9jtved8ETT63wdBui2DWJ5lecyqxpWUT/5QdYD9qTJ1SIyedrtfdzSxRRAGdyHLKsMHYeZOZTm7TON3nNtLeaAHeevvfyxmTjZoYULWJ5T2eS3WOUF7H/pKYb+aB0Jk/sRHns5IU7fkDGBxpNeOFZN06Z+NE0PMGl24Y8uT8iNQED4xOmrmZbZxpcCbeRq0ss5bxnyIPMksnLIri8VUwXg03deyobmKoNWQeRRZpyQkA+XSvNu/sLA6AMLovAc+J852hZ0zCR290TLFBthCllSok7JZ2lq5XgwPGYxdH8BT/zL3+0/si1P9Z/4dUbHcD37j2OVEuv2b5N//SRIyc5127QzdKueYrU1QJM+N7ZKlMtea3WmYyBusLe+c8EWQ6JtfKkSHOLkq3dhVYdqpmDnLJGWlVAXTzPkjyKzAt34HYALocCeVV5UmVvlfV1+hHLXcN//0STpUGICDwnT6QdW1XKwTlfX3OOTRPI58QUDO4clSTRtOqad39Xly8/2mJp5BNJzUBK/KyHshz5kDF4tZ5emCIDbTEZuA0WOeGsiIzBbRGk52BXUmQM7iRRWrgoFDKl1OFlO2EpU/LAs7QKx45NZZVbC/Dx59UEkBAuVgp9A2LI3U8vs+XCK3768KEn75Xp4K8KBr/jnifROmRpeT9f+NqQYydbzNdc0qMAHBUwr0fZ692qgK6+nmC3UoOLEuRyUqKMD6YpgC3dlinFhKYKqLWU6EyS6ALgueY2RVDpaVOA29N5/cU4e3sqxvcjPnKnxzMHayA9pJQEeWlsxdos9ojPvuRzVhNW2LzoIq/IlMTIbJMnj6t29XnzSzv80e0hRgcMpE8gRZH0UVIQVwK6SSYXVSa34x5zIVUUKOtWBTffhmK2o2N1QTlWopxFU06mdYaEkOPypHBWKsTGGOC/yVsF8MXqrlICz7BlY5fvtOcQwRN0lhOiTIdrgNkpyUwTHnimxpcfm+aCWYkxBmNAqvGAqYrt5/xw+e9W3BL3dl6Yb9cMlBnzjIvAUpRsXjDkNwK4LAGuKjXUOqtL8SikiKdKt8SrDAcqNbdjb0+7qVUrbcNff6XJYjuAMHNPRCUYew6JghDjxypf7daz7YqeVolJczdFM9NS/P1X9Pn0fUOWegGR0gxSmdmTInNvRNmMLScTK46987dMweZlb6TOnRWVPc/GXhvpRl/nx70KciFFpfs+H+KZSZMxPS4m5IoYB7iwCCueG0sTSBeVIU9SGpQQ3HoNnB4pzvRq6Owf6Qce28/WjXPnf+qL9/3U/U88yoaGpuHZcc07dtLE2JKyzufBVtwDy8TJrgB9/C7Wlyh54mQM2OOzv6sdLm64O+Pgznc2yJlbVZh7DYPn4ybKkRNauczl4SOCfUdDDAFC6qI5t6werB4vUXE1yi9fLXUomVxU5IkonIyi3SzVYDWX7YzYtWXI0p4aNvUdi6dOpuiKi1OyZ7XQKxPceRktuNdFY0q2kshybmQ1tlHG4cFIMu1dictEpfdUWoQR2SyVXJOLCakiJvBgixdVEl1P6ubwk1IgrCmcoGGk8XSLaX2S7dte9FOzm978eHdl9xGdpin94WBzEovXLp7usnnKp+Y7VyHPlsl8MGP1j1X1tZ14PXHlTc7SyAFdTWWPvVfpZSydCVEJNktAOwYnGwVc9cGr92xLa1UFdwXk2X71XlYamrO3yl5rHaNUzGe/1mT/Yg38Up54Fety7IJl7biINTxUTZhVG7Sru5vlZbSR5sL5iDfc1OehZ+tgPJLUaXEvzc5TOi6VSuasWnIZyK0dm1VTPJfZc5mtKjK/u2OfZiuGFBmrm3yFtQUxlQmf6vOMpSvtbUXbSxXcaxjbrsVOXuqQrUgyhqH0EKKFJ7tMWfnaNBlstiY9ovNB5FpYZmuW6Vo+rDKfjyHK2R4VNq6CfOwDVd7LmWuN7p4Adf56MkDLAS3WAXbB5kpUmnAr4M7mE5bbdrAW2LocEFSMeNMmA3ni5ImKqdUjvrZX8VdfaTAY+lDXaCnwxLg0mfz81e+8LsCZ0N8TlmHVF48TzVRT85Zbh9x+X58H9/rYhscgDfAFxYWmir9f6uDKWlqAvJqzcMFndoEpx+apdHrcVFg7D+pNFlxKIyr6W4yv+OvINSpxQVUNFAWx65Bk/mau24t/a93nyz93aiFJJJ5OmDfCNcRj0cLG2DQmUClzTUsztGOgXhfc+YebWDbGcL7uvym/2KQ8kes8L6SIKEEtVWX3BiWy2pQS3CXI87JZi9blCGWdbcKk1TjQvYKt3V0pF2D6fkQcpdx+f51nj9XB8xBSZaDK5oZUgkshx09qdRUrjlGVtbFrPF5j8237ZOGJp6kmijSXn5fwupf0eOJIjVHik0qPgVH4KROfJffCmWBw92gnPgsqv9gMRokMPGClwCqQttTjxYoqQZrKLENTrhpyEuCTcQkTwH+OTOdYHiH7PSEAI0izuCNRAplIRtIiMXT7knBkiCOL/uSnbkNrxepql02zntvuLpdEVTCuB+SJ12u97rXjd9dj7nFQ54xdDTDLHQhKaVKxCgvGzgFeTk4tJErG3I6xbcHUungsn3tZcKlVTOBHPH1U8IX76vQHPjQ8pMgrB6nYg+tkMSvfs7q85bUoDl35cru2fLaca6KKbp9mM+J1N4/49N1DnjgUgPYZGomfaXFl3Aa7VWkgUgp5QDqRQVSlk6MVpXSRjs3zVSUP8o11YJemTLS5BKAdX8FMyeyTOY41AJ8A/QR5TyiGEuTFsU1KX92YOs8+8xThocOYNEUno1VMLJHETDd1sWVfHoisH0iuH2iu63sXH1yMXcHrsrisgL2quQuQi8zVqdafZBWGWUWha+fKnuvqfPAJcGd3L59CmxX4a5W4u47xvJjEptx2b42vPl2DUIN0Dc1epYR3rDS2eq++WOc2NlObvJyVohk5taKYVJADfTT0ePlVfd5wS59njoYkiYcVioHQeCnFZxJpyeLlR1ifyat1RUrlzO3Y3L0WSCMKHV74/Tmj56ttxuDF0M4JcI8FnGMgt1R3wFiDo+cAexmQlrFEHCtWegOkTLDWojfMBkgp6A8gTSKStNwFi0rN8gRxF07J2uVErGHs8rl7IasAr7R1VXcWGAP2mFSppukrdzUBblW563IT1BzQXgXUuXPiHBP3qFSM78U8fkTy0TubgA/SQwhVdBGpbCPVata16giV+lFMAIzxBpJq0VW1hDZ1rXtuCq0q0vfWat7xygFfvH/IwwfdJIHYKPqpyAq+MtClOXAqdSDl5QVZsIYab2LJf6oy0BuZ7eeTB8W59pYZmwv3WJxDUxnYKSsX/1gCrJQk5fF6DuZeI1/WVhzmBWPDyBKnZZubjhNXR2yM26xISeGqBq3NJlPZsS++Dp2PfZiSuUXlCs2vuMqU1QndXUoVkSULSuspB3gxJ68K8qw1rdxsyu3sUA7AL8E9xtqVx7yxNpcqSiV4XkKcJtz1YI2nDtTA80C64NIXtjI5thpYiTWB1aQ8ycFjK0+KBohKjchYdWEqMSpzVFLNKPK4cteQl9/oWHyQOhYfCZ+hAZ2KMvBLc7swS0mn1XW53LVu0rpUEqyySCtQFpf9tAJhBVaAtKKUKpWgsmTv7Lya6oVfmeu+Th6kgO4asE9QaSVJhs3ny7jdlKM4IzmdyS6tJFJKbFZp5z6scewhy4NepuPXrzqp2oc5WxW10GMnXZT21YRjMr5HzET9iaDYe6fYvThvvh1reCi3LlFqAtyVofiFe6JSlK4APJMovo7Zf1rwx7c3GcUe1L1MnlC0pqnqLsHFhVuuZGN6ZfJmx4FelSnVzQGq9c+lFtc0AskPvq7PbV9tsPeku/hSo+inylUZplnyB+H0dypKt6Kyktgc6BWAS1tqcZlpdGksVrpzZKVwADeVWClnclONpdZZ2aqALgBux0hwHEfrHrrsmFVmiGebEMdxNqJZumOob7n1DZtOnzz8c/t2P4anpbvSU4kRNuueqO6b44Ki9Vh8vK/S/d/YslRh9nFJUmVvKiAv2XqyyEpWaj9Uwd4VYMs8uBwHdz7br9Tb2XNpSu2dBZeRTfjknQ0e319z7T5Co4TLXOqsBrvaXFyVKdUL+uvexjR4ebKKcXfGOGCPgVxijCYaelx38YDvemWP3/oLn4HRYDSxkAyMixGkycgkLWUhE85K7qDkAS/WZuztVhVlwWbet7Ul+HNwS5uRkR1fxXLJMg7wddwUAbJKkusEnpPAhoktDLMNrNLUTXkbxhGvePk1P3f1Fbt+XPdWz0wnUf/1URSjlM6vZQdwYzFiPBha91YAeEJ/5+9VnpcJgKp7MlGDUgXOWB24HdPeBdArkkRVtLcqdnqobESl7IQkySsF0wLcno7Zd0ry4S/XcfNXHHsXnfv53xeMjReWle9dDTRF9UUhS8Z1b15sVW4SUNkoIAe2lZhUkapMi6ea73lVn0/dVWf3CQ9khBWSYeqhyepF8mOdZicvzRM/OXNXpJO1WS+km42VfzaZnXtpXTWptCWIpXV/w5rMHzdZgDq2Oo+DfVKaGCbeGxcHa3mhcJzcccs7zZJsG/k4jlhY7L7+6T0npnUURyRJ4nSXcCeusPcyrVXd/ew58F1cbpMZpzGrcQzck0mdcf025sNnyYTqPjKlBi+3CsxZXE2A201kNdljtoGWMqjc71YJSiaojMFTlfCZexvs3l9qbymk876LDprnYCjWKW2YOFd27Pl4A/KYJ16ZSKWNcLUpskzhR7Hm8otGvOmWHgc/HBClCoQmFZqBEOg0s+/IA93cURGVT2HLEDijSGsFyuartc2W+4zN87uwZYpfgJEO+CaXKRUfvAr2KntPgn2cGL/+yje5w3LerJFPdYjjhOEwRk83BWkk3HmUJeOmlatFVDTi+gBfq5vG7aDJL7g2EbB+c8M4a+evc9bOwZ4zdwF0VWXyUnerPIiUFWkiy6H5SqV4Xsyh04r/8ckWQ+mRT9Aqu+azFaRaA12VJGN2wNc5RzlhFGlyS97CVm3PKjW4GKtPSY0mST2CNOEfv7XHJ+6qc/CUBhVnUsVjIFyrYVHGWg02J0Cee/MW0La0iS0CaTOJgs1YO/fEzRib2+zvGCkQtlw91poJa5m7Cna+wSEcr8Kksqu2M0fixNAfGoJhih5FhjhxfXY6mxmTZD4ouLYmK8Q3BfDqFZrLlTXBRVblth4DVoEtJlg7T6SMg9uUEkWOM7ge87dznV3V35W7dCzu6YhOZHjfp1ucPBe4UFx6CCEzeWLHfO/iefW7j7HUeKLrOU9WccLyxoNqj2aewpfFvWiGkIo00WzbMOLH3tzl1//Ypx27qUfWSkZGOdswzT+HdT2HhTApQV7+v/uJyq7CbH5T+ShLx0dKWzK4rZy7TH/bgsGfI+CssLbJuaGKoW+CIPIA0xhLmhpS43Zc9j03BltbFFJK6qFzI0ZxtcIta3/KliQQE7Wy5WEaj4onAF4B9yQYJpk7B3bJ2pXKxiK4tEXjq1JlkKmlRWmTMboppImTI6YiVXLGTopHrWJ0EPPx2wLe+7EWI+M5eSJUIU+KpuIJS2xMdxeSrHqKxHOepBxXpVVYBX2esrdZ+XKllDZzVRKjCXXCT7ytx76jPh/4jNPioEiFZGhc76ZMKRi8LMDKT1aZuq/alQ7UpWSxNmNzUYLLkY4rdbVjiR+HmaIuPcODqZLcGGYE68mVCaiVpcZUi9VcPVWSWKIkJYpS0jQrAb5w64jB1JC6GbDYlpxbVeVpqSwZExXNazJKk7732LLN+tH02sIcOyFRbCXIzLborm4ZqMpiJ6VMRarkYK4wuSyrAwvdXTy6WYPLK/CJL9dZGeXgdgD3pNPeWozLk7FVJ7fLKgdnvWCpurwWTJT9YKyqb3LrRTNRJy4lyiiM0SSpZspPeeur+3zq3jpLXeVK7IwixunxyerCtWdzfSZ3eaAyKZTXp+TBps1YvAB05pMbu/acy7xU1rrVxMjqAH27Lpaqj1+XJHASZaVrOHkuZXZLwsAkaKtWSeUyESsMY5/hSJEkeQefKFv+xwC9/geQYxcEa9rR1g3Iqm1PotTZJXDsmPYu98NcG1Tmw2lKcKdjAWYeZOb73OgKe3v1hNu+EvLgUzVMRXu7poZcnozXmxStWZOrmGB8RXtOEs/Y046vmtUS2nHrUBQbfilb+uJJ6qFNwouvinjji/r86Wd9UBEIiRWCkdEoIdwWJHmgKUpQT8oVKj64ynskcvswr52RlUIx6YyIMea27oK3FQyYnMRytrbPTYaTWlxMvFEeTncOtBaESIIAbDAk1T2MqqFvuz/g9LmQx58I2DlnmG0meJ50jJRfXeukUteLfCdlyiSwi4tA2lKqTDC2EBPsLcaBXboo2Wtl0dmIMSkzx0TaTFdXJEnumMiKRJHOPQm8mIPHJH98W5MzXd/tdy3doHclKHdsmIgX1ujuiuZej73XsA8le4+5KJNbLeZbMI513bv9c9yj2/5kUyPlXW/sce9TAQfPShAxoDBIhkJWNpFyQMtBXdiY1QuuyudFNjM7D1U2F5mUFRQ15NVYyv0sn/3u/r6priTC2ZkFURbv588LFVViLw9oc3xmq3wzVFy4Q/D6mYgLd41oNEdoaerIuEE6CBmNBFFosuV2MtNYAbNYC/T15EgOaASVJXJcd+dLV3Hgi/rqCnOrHPATIC9mZE8+TwvtXSR08nHAKkHJFJ3Zgr4fM0oNv/+RFl99tOZ626R22ltK17UjSgu1+Kz5yjJxTCaZvIrzKtbXZjBL16Lc471aPlsto3XtZiZ3VFJDIjUq0bz8+ogff0eHX/x9n1EiXSOqkSSZqyKNqHw2B/KxEQ7WtaRR+XzutajEBll3fZYEcgGmKC6AIugsLno74bRUj5HFIMbwM9YgMZHSzytdq+9LkU1L8KHme9TkNMrMIMw0+sLNioZUrJxReJ5EVc7KN5OJei7NXQYQdk3xe8mC1cE+67B3Zf95uZ48kbbo9nbbZpuKRKmM/c11dzbjugguZYLnJ9z5sMenvlpnFHlQ04X2Lti7CGzXZi4n7a+xZZU84FyfvquFTcV4hDFwg1V5leF4rXhqJNI4qZIDPUk0tXrCW18+4I6vDvjiw8rZhkgQklhoBjmAsk9ZVvJlbC1zj8VWPhuZRZiDOvucElT2/fLXNpMmOdDz82uFyJi7EuxOSNgcc0Uh3xi+HHXn/768HstkVWpgpaNYWK7RlzVaUyG6H0FsBGGg8bRa2x42xrQToJbPDfR86Zu0ASdZXFT1dtVblhXHIte/xX7qWaq8SO7kQC6BrdUE0FUJbp2B2/diVnuW2+6ts/d06KSJcCWxItfegsoEKbsG3MV3K6SaqAD96+iT/ARZihT5WPlsVapMJH4m68WlVEiTIo0mHmku2Rzzxpf2eHC3TzvK0q/G6fEIRb4PhCTzxsfKaMs1x+KSO8UFKZ3borKWtpLNKaxkkx0jk/vj0tnM1RESBYvbkuHHQDwhV8bLHypAl1kQLrKdkeMsbZ+Ap2Ma4Qjd7acMhmlWeSURomxTW2vfPQfQJ0C9hvEpHZKc3fMipTH2FnlQWQK7BHfug5fBpSwGs9sxxh4LKPNETtVFka5T3pDyJ5+t8d5PNrFCO997jL0ptbdc53NPLLeFjqx6Tl+Hvccq+ZgAdcHka1vZTJ62NwaTSox0vriShjj1kMrwE2/pc+CUx3s/pYmTEuQGwUhIlMkHSWTgrra2FaDOdAVuESjgn7FmXjducyYV7r9ps9XZFkDPM79ZDrUoThsHd/UioPIzO4EnMjy6tCkI41ahJP82wm3F3qgJ9I5NkkWlOHtSllaXmihsF+NMPsnGVd00DuzxLN8Yg1eDysp7ucedM3s5Ey/zviccE5mDW03Ik4k961W294zT4DGeH3PgjORTdzXo9TyoqbXsXdR8V1YXUSZ4ioubtc/hGyd5SgavgL4iWapzS4zJ6z0qQJc50CVGOi0upSaOU5qNhLfc2uf2e2ocOJ2dTDegmlQIBlnyXggHEBDZhxEZgHNQZ24JWfKnWHByJyVP3Tv2VhlYS3kyDvQc2Lk7t4YI8wvBVrHlPlOhzaVwn3mMRUprM47g5IKgF0v0KNZuD8Qi+p2c/Vdh8QqD5Sf0udh6kt1lrrnEJAPaMXkiitl3pXtSgDtnblEdzJ47J2Zsuw1ZkSVSZo5JxuRaJ4xiwx0PNPjyY1m1oPQcwCfYOy/yUkIwFgwXF7VYwy6TAeY3lCmTQJ+olLOylCk224rE6W5TyhQjSYVEpRIjFPFI8+prI1794gHHP+cxMk6HZ5VQJGiGAldxmAkS5+W5xzz1o8YAlAedGcjzFL8QJdlbd05thqVxoJcZVVMke8omaQSurHcMP6Jg/Py/ZfNMqawKqorTJ2G6qdkw66Mv2LlzNYnj26X2vtNixwBe3UxpDITr6nBbuiWUQF6XvQswU1m+ctBXGLsAdg70cpeBcedkXH+rIv2eVp4nSOk6daSfcPfDPr/xwSlSq0vnRCqEkG4fIFGm5ccZvOr4rM/eY+D+ekCfSPZMpuyrcsWQT73KirFE6agUmlw6b1wYTZIYfD/lZ364w94TmrsfkhhfZJB1XyA2igFVQWUrsmQdTV544Rn55Z83CyhzHS6yC8AUklUUdSpFnFKk88ebIMYmYFVlS8H82cWTLzjkeVhZ/F4tDKjVp2/fsHHnqtqwcUvv7JlzBwX8uMBk87TLmSKq2LJugtEL0JXyRU2+p8YLpAoJkgeLld3CZAHYqgVYSeRUAsqioOo5wF2VKnosoeN6LU8sC37jj6e497FGNp/OtaMhPbQU1CQEkmyTq/Hm4rX3rAG6GJIzPoxIZe1eUk00TFd0fflaVC76iaxulQwqcwDz3y9XycrPLMzPJQTa8uCTPquDisbMwsx8inhZcZjp3zHgfzNXa+VCmJBfpdc/uXX7xK4gxe+Wf2f8oq+sdOWaQn5F5F+t1QzodZfedejgnr16pqWQQhDHllGUjAM7A2aRjBHraKaxKzBntUntXY7yKmRJhcFzW6k6TL3K4HIdzZ3vMLDuXVUDy6wUNnue+il//Okp/uorDWyoQCiHTqERUo71W5b9jV+nY77CPoyn2MZwUX3bMs6Nk4Bwz8e77Sc7fIy0ZfJHuoGaRY2KkEijSIVGDlLe+ooBzx7yeM/7NVGQVCI1gTUeo6x2RuT59dTpVYstQZllWixZdjObPJwZQC7YzBk5ky1STC4ImePC2qBS2NxaFsXFmSuCgtHJVwf33XO54uJgN3/RGljtpvSHbriRrocGKQRDaUmSco6fVhVpsI7MEJUTJyaBvybA/DrAzgBcdVTGwJ773SIDeEV7jzG4TCtOShXcKbJSe/LFhwI++LkGwzSbgi9yazDLWgo7pr3XTc1XgQ7rXPTrSJXnKrjKgrvce16T0cSuKaG1spLZlBVnRShXmCWz4ixpSI0m8Aw//IYe9z/h88XHnF2Ye+NIgbGakXHtaEURyaR1mCG1kFJCoMilSQXkedNDRXPnv1PoZwnSTox+yH5nbLhPdkFRxZPN68sdJvIsq7sZlBREUUqSuqOp9x6NsNZNfZppZBkhXcqFatZuHNjV4pj1XZPxWdEVNhfrALxqD1bBLcqdvdQaHW7GPfBJ9pZpGWDqmP4IfvUPpzh0MsDqcrfkMe2dS6QxYE8AmnXAXEBYjOP56wjyydnq4xnNavFVVY+vrU0xWdO4kVUWV4jUIIRGRoYLt8X8/I+0uf/fBHSH2ZcxsvhcKZqhzT5jnnI0JchtZsupvFE5c1hUpomtJOtKysCcMW2Z5Kkcw7GMZmkTjiV4KH+eH7nCG8+n1koQhmI1Aze+b9smmG65Dh994c7NCCFJoj4mXiLws0GVqjoWd3yZgMofFhMfiEqwOcZ4dh02r/yNdSWKqfjglW3sMjYvmHvMNanszpt53lrHJCn8zsebPLYndJ63zJm7dE48MS5LlFgrywqwTzB3vs5Wh26ux9drmHzCOaGqN4tCrHx3O8aY3AjH4EXQaaQDeSoxIrunmVQxhusui3n3d7f5rx+ZJkozFqdY90lRjEyuxTPNUAF5IVFEJcsp3Aa9tsrmGfDy1zKbMmttWQtTADwHqh0nTKo2a1XiVRk+zRSVdAOPrDFYa0jsPKgW1qbo7/rO1xOGdY4ceoZHH7idIPSKeo9yvvQ4EYnKk3KAIpULwa4B+FoHZRzQJeDthEwZ35+xZO+01OXVpM7YPQssw5QvPRDwgY83aQ885wFmnjdCIYTInJMya1kt5VVjn3ut/i5OzFhYJorXY5Beh7XX4H0M6JZqAqhk7WwqbC5Jqkkg4WzEVCqkNa5eJVG0QsOPvq3PI88E3PE1BfUkY+rsE0q3NciQPKYoQW5xpbEUtqXzvLNY1WUUcwljShDn8iWXpRaKSsMC7OkEWWRWY7XAanz9q5Y/ZLhKLLESpL2YV114DdddezXdbg8dBoog0DRqgulmgvYkY8U31dMzcXKKn46lV9fq70lgVy1BMSlLKpKk1N/lDrsO4Om43y2dFSiLfdVdYCllgtQJe45o/sdHWxxY8p0Gy/xu9yhL9q54/mMgX0+ejEmTiWlNE4dt7JbL2olalJLFy8RK6Tysl8afGBKUF2JZU2wqK3KpIixCamRs2TWb8I/f3uXIGc3+kwKrqwJLgPRIM5AzAXKyJJAqGC+z7CBjcVEEmnl6vWDxinTJTYe8biWXLWOxi5g4hKJ6zOxaZsBhKxqlJKlAKY2QCp3XV/ieodWI0V45k4N8y0DEWOCz7nkT5dU0NkF0zCXJX5fyZIy5M6miMhlSsrkptLhSxiV61iRzSqArlSJlgh8knGkLfvX9LT51Zx3rqTIdn0mT9dhbVS7Atc7JeCwymdQZOzmicnLW8kSFste+t7YmparDc0BXA9C888cxuBT58yz4TA0JBk86V6U9kvz0byrOrgoIqnQrsOiCyUt5kl1o+WPG2kqCNbl8ofTDRVlsVQSZFelStTKL1bBSNbAuSVTtRFuNU8oS39HIEmcNxW7eopJIFZ6phekXtm8NXjsc9IgSv5xPne/haMTYgV7DSozrb6gydgnkUo9P1JwUbG7GnJPq1tGqUjGoRM7WLlMpM9fEPXe1JhGGz9zX4EsP1bNak9wSlBmD5+xd7hpcnTdYXUbXlMVWtDiVn02elAL86zDOZPvV2JzC3CM2ZZVetdJQmny4TdYEIQRCZImfzFmRUmKsyt6TCOsqDgNtec2LhrzpJX3+7HZJlAiXts0/vASLR2IFw6wzOK/aczKlDDytcSObbcbs5XXiCrJkxa3OhwLlzC4oHZWimCr7gVjnmJXHKO9bdY5m3pfZjwxT03NEqfxCoxae6XQHqN/4j7/NT//Uxav1MFrVcvD9o8FZpFJlDchk9d/YPdsPsaqjx/onq9nJSiXgWGKn3INx/HXVCrRj4K4yd7UjXmfg1johlYZPf7XG//sHUxw+E2RNDGVCB6kRUhBICKUbZK+zMXD5bPG1w4Vy+7AczF9MuRUgpaTYVkWMD+l3k7rkeOImd+rWZIwrAe06GeQxX15me5hKWwJm4ncnjQCMZbaVcvlFCcfPKfYf0y7hU1yN5dWaOyDl+IvnWJbWDdLK35v0/av3yR+OFaJVG7GtA3Q+IiLOBv1EiWCUClZ6KRfsOp+wOfUv73p43wM/8F23uj16zi0GCBUw6vgIYakHUbaTrKtTEQKSNEuFmuqSUNJTrtvHg8tyj5ayYnDigijkycQe6LlMUaVrIitSJAe3rASUuSXoeSmHFyUf+GSDvQcDaKpCkrjEjtPeuTQp+iypgCYHEOtd2GWwWZxyMR5QTtaiiIKSxNhJHj/pAjeMvsLuFRdFFid/PH0vBRjjdh3OvXFRMLvM8GowQiGs88bjkeWyXTE//NYuDz3lc2ShslQVQaeTIQmCoXDBJdkIt2ICcYW9yay+MUcl1+AiL7G1Y1OvCkcFymRPnsbP0F/NdObMnaTCgTuFKBUkqZNtTS9lxo/xTQJkm1C15q5BqgZDPcToh9BqRH8YMBzZcqmwkGQ1k3kHRj5kZU1gWdXi6wSTZaBZrRy0YzagkNbJkEKPG8rCqYosKd7L2FulLHcFv/VnLe56LCyrBPOMZQZuJcl2KK6OQS6TWEpUWXCtLbge8NdG+9/crdpdP1ZVOKY5c8kiikyeNBnD5uCvZDqlcNPJXCmpdTpcWIRQ7jIShrRveMW1I/7pOzv8yh9OszLIgZ0J6qwc1RpNIkXhoOQgxzggkwM+I4v8M1aLoSzO1nPSJWtZzNwVUQF8Xkg11mSUPRbgNhAbB+5hLOjEgpURaCG45OLzeNVLrmG10y8BPj2zibC5/Y6f/eBf/cbiQv2n3/WaBS7Z7mZwGStJUuH2Jbdl1JznBMY06ASwS+YeZ+xqal5UGTtncFHKkzGAqzT7WcXvztLwOXsPpeX3P9nk/R9v0k29LFupxlwTIdyY4dw5GSuqKr7LOuUJVaZeF8wWIcZK3L5pcFeHbxZVepNuS8UurG7cKisj33LmNlIgjHPEpHVj+NIs9hDCkBoFiaXpxfz427qcXVL89p+1GOTyxORszhjIbTbAJD//NgsydZZTtyYbK5H9rs0IJCeK8iLN8GAqcU3VSangag2DW7dRV5QKeolgYQgXb1/kX7w15urL9v/Gxdd87x2nj5zKFyGotXbwD3/q1/qnjtvDabSR/lDi+xG+F6OkKXbLKlbYyoU+ztDj97L7hvHXOZjHWstKxq5agDJn6DFwO++7ytxSJuAZnj3o8aE76nTibINMcmDnvrdrePJENai0pa6V5QkpWJuJ56I8+Ii17zNxkr4R0st2tQnLkNzBKveyLC+CSlNy0bspx18Xoyby9xQ2a28zVmGNIokVTW35vtf0uPziETJNwCRgEzBp5THFGktiYWQhMhBbQWwgsYIkH4BpBImt7nvvfpZr53yQUW5epFmFZDngqARy/lglA1E5PomBXiwYJoZWYGkFmzADefiRz/1K/+ILt5UMDvDz//yNCFWnc/Z2WvIZUhOjtI8QYbnrV3aQS8Z2l12VvWVFb5eMPa7BS1lSsraouiYV37sqTQp7cJ1UvPZSnjzk8e5fn+Gp/QHWk6UsKRhcVmxBWwzymdypYT1rcD2ZMpbYqQRi1aXtm5IrE8vxuC8+aRfiJInJUuDZMJ5cshjhAlxjpWNEazFWZr/jJmQJ47zxFOvOX2S55qKY3/3pVX78PwieOpAFJ9WlOl9OjCbJ9LQx4Fftw7ylLZMo+apoKxImTwTlbC6zC1zYbFXPFg2RH8bMP88J1ZCbFe5YpNYwqwbsO+Dx5InruOHmV9DpDYBfGAc4fpN6rcEX7/W4894GSgm+75WWbbOKUaSIEzU2ZEWIcXBXd7st2LzitBQglqX2du9VPG9Rgrr6XMkUMQHu3A504DZ0reT3Ptng8d0BqaqwtijrTaBiC46BulIeUGHlybmDa8ZCjIG9cuFXUf11EG4ngF1FuK32aY69X2V2u0ayyIy9880EbJ7ZFFkIK2RGRtLpcWNJMWhhue7yEf/oLT1+5r96dBMBHhRFJAaKg4MiNYIob2MzwmVyKtpbVasQzbg3nre55cmfnFBMxSOX+cU1cbzz+iiw9JXgmot7vOvVZxkMUq69dsjmzU1mRuVBLwAexSGNenjg7NLGg0/suWjXSnfIJZuHmIvrWCvX1I+Ue79UkyLjAeRkllJk+lqsAXmezDHFcxd0puMypWDyFJXdtZfSN/CBTzX46JcajHIwTzA3wn2HoqDqOdj761YKivJAjydzRHnRr0H2N5Ink+xdAmNSh5scFBOMXkoWm4FbFqwurNPiRhqEla4VzFr33GRBp3Xb1vjC8vZX99l9VPOBTzbpxbgDlunw4tHxNKmRRSCZp+oN49qbSlCZ779ZsLkoqmHylgX32bKmiskYrzhHGkKgUbNcvSvgFVfNYEWN+W2zBxv14EDoRcUxLea0/c5v/xeuvPYVB+dm6huTwdKts94qoT+NlD5CiCK5U63jHWvCnWgtmxzxsJ42l3n5q6pWCNp1NLgZA3chS3RCL4Y//OsG/+H9U5xd9ivdOXm2Mn8t0cI1MvhjjQx5ir7afJEvgxNpezm+F+TkFiv59ivlvkIlk5aTCtbuXDFWyFVp8i48bTleuzHuTo0HxUJWfl6stFUTYCLLnJGUyEoCplspL7wiotMXPHNQuyTQ2LVqx65yi3B2JVWJVrmwRW4ni+LdtaM/q/9KjMU1eeIwPzdaCQJP0Aglm2Y0OzY06PR8wvoOGjMX/c7q0pH3zW158VoGB0B6SB1+dsOM9+aWbl471ZTECQxHonLy3HyM/KMJysTOGFOPFVNVpEhVb4syS1ll7lKHp88JbqVSZGj5q8/W+bX3tTiz7IGv1mHv8Yyl27x1fID9mOfNc3nfpc+9Xq2EqJycv+mtmtHM38ilCkwyd2VIZpbtNFa4bbRFGZgKW3riQuSsTfaYyxXH4hhNHFm2zKT83I92WOpI/vy2pqPLShd7yeTuZpDEOG3tV7S4zdhcZbn3XKbI/GqkzHSOH4hyfqHIhLo7RyLb0BcCT6C1YLltEDJkes5//OqW/9nBwIz9p1T1xV997E/4njdedGzrvLlxuhFdb1J3ELTOu3wq013XcUXWMrcZY3ZZ+f1qtrIoohKTjL0+uKVM0aHhwEnNr39gisf2hBCqccYW1VpvgSddyUXesZPv7b5eO9pko4PKWHR8O5Xq65LJRcHs2WZaz8HgoroS5My9htVFkVAa6wMtVs3Ke1Tt2fJCzHEoJ2Km8nfKdJ3M2dlYpqYMtdBy/5MeyytyHCnrFd9kgDY5Q4vyoi1/XmX+PHhcx2vKP1vlu+cZYqXA0wLfk/ieJE4sZ1cEZ5f9275y37Hf+a63/eg4Z09ePNe/YJobrp3BD0esdBPXGVFlFcpAsupnK7lOoFjxssuWsrQAcgnyifS7MI7x14A764r3DQdPaf7d705z5yOh0x1jXneVvZ3nq2FjbQAAMNNJREFUnY+B0BOp8DFtt85rWQHQupWFeemmEJXTt57jknm6lEHj+HEtHao1SR6qOnvcHqx6w2OavFKUZXF7blqT24jZqIm8/c1KrJWk1k2rNUZhhoJXvXDIL7+7zYXbIpcTt9ndpBUrMcnedwFxbiOOjCAypX2YGJHdM/vQimyoP5lVKIq6ksIyNGLcRaqCHydXppqCoKmgsdndJ2568o1w7k1oraKjCx+nNzjGbKuqtccfC1CryQSNRYgqe5tKkFn5WfH+ZJKnzFSOv05QnuHIOc2//70pPnpHnUhkTaRFGr4KcjeIRotqnfc622+v03LHOuBkArhVs7vydP1b9YeTRUTZ/wnKoHLs9/LkT+GojNeJk1fUjWU2y0YIaTKtLMrkj7MVpcuKmkrdfyZZEgOhTnjHd/RJDfzC70xx9FzmrOTQMWkmWZzdiNSAu6jiLIg0UmCwaLIu/Ezrq9wLFBXnJXdj8uOR+eV5te4k2I21NELJy67dzgtvel1kTMJ//PlvAHAjNxNO1f/Ni15w6RV7n11+hRIDPF1OlCrmk1TbxiolrUoZiqrASp3J2vS8GdPgue4WBYOPZy1dEVXK0QWPn/ntKT7+xTqRzLqjxXr3asayMrw+W7YnPe/S564Ul1WQO+l/j4F6krb/BrdJXI9lNCcZ3eaMb4uSUTHB3vl7oqLFc/uwBLnMMim2FBlCFdmVJLF4OuX7XjdAK/jZ357m6DmfbA7z2ovV2OLY57rc5H59RjKuv8K9NjnZSIEqBvkI8jx9ijvWaXbe8oRQaiBOLP1BQrvfwqvt+srmzTv+DXTXHNc1EuXC8xqc3P+lzo6t4d4dm0U61UjxvXLvm7GRDcqOuR5FxZ8af13KmOpoh2pNyTrgrtSYKJkgVcqpZcXP/c4UH79jHXCvsQWdLvbkeJfOeuydg7layQeTUmTC/16XnO046P8n0D0ZYE764uWbmc6tyJRc7hjGh+jncw1LOVOZc5iXQJtya5R8Yq3NMp3GKpJEolN4+3cM+H/f3WbLXFxkNqtZzvG72488lyxDk2U/rSDK3nP3MuuZrJEz+fsUUiYxljT9/9r77jg5ijvfb1WnSZtz0GpXYSWBCEISQhJgMhgbG9twYO7e4+zndOCA7XNOnDO+e9jGgfM7w/mM7/kwGGOEMcHmQEQBBmySJJSlXaXd1e7s7oQOVe+P6uqu6pldSSAQ4Ff6jHamuyf1fOvX3/r+EuAHHJ7HMV5gGBnnwWTZXn/b7/4wTkjN/gEuf9j8+PhlA2PWM55PQanSgs9ksMJOZWqLENNIJh9wnXsbCUAr+1UwR44comTmGAyBRfDTVTncfHcGrqEC2kz8VcBNKj2WSd6t8+oYoNXKQ6j6dzV+HTfjIgeLb92bWeHU0XVv1a0v48NV17204GrWT5wkIbl4DOyIj2tcPHbps4DCDDguPKuA/3XeJEzZdZX7APcED2eKi5/7MdiZ8KC6DCgzwc0FPxcBUx4L3f0S2IEOcnnzwn1ewOGHDafSDsERc81nyqX8ZarTbL8AX3js6XjqRT+gzlxeKJughMMyOSwrgGWK3u6WLKqj1f4LwS4LXVLV+6g6a1jsjSRKmYfIQ6mWfGCASXDPw2nceE8GZWqEplYFtGK9EVOTuK+OAmioQI/1Yq3fDkmAXLHUKtdWAS0PqAiTPRBwKwcmAgsrEyEUTya0+BQF3Aya1Y6TVRKLz+iv7PkjLXgIbmnNmQC5wzguOrOA05cXQWRgibTkXFl0RjdpzcV6wQstuVyEllkY08JIBHRX3g8ALxD33QDw/PBxGAPOOFCTsbBi8Tw+d4YbnH/emVXPrznVib/kbSvgeaUbH3toUz/xd2bTdgDbEjfLVGuQ6GpJ7JqPPZZELiy1fSEtURaWhMS8m5IA1GQgJnD7gyl8+gd1eGGzEyYMVwF29DimJkbFwlIPENPLQeilMWLM6k6WJG9JRr+poN4vuBNuzEp6omjgUBeWCU1cZrBrCcpc+8s0Pg6A0cjBw0BAEC44OQWYmPyMGWLhSwDCOXgALJzl4eor8viUAdzxYEbwcWOqbyqnKY1ujIkFaECAAEI5CSKPskgcYVy0LWRclG9mlIAbPF6bhOeEOg2T9W0rbkynU1OeYzrVjsaWTj6+75lr5s7pHc5lykinPKQdDynbg217sC0PtiVSwyzTh2HK6lHypicFqzHclZY8BLe08kQ8n5jAbQ+k8dkf1uKFLSG4K5w4OjUhNFxUQunMIPk3kqCehm5UU1VQeVMHSdzhmGbwabYng69klJLyOMnXNZc9UMG9ozYoKh9XubeUDBPyoWgpLmoeMmaAuRQLZnq46sN5vPWkguAPVXm4n7DsMT/njItwVwYUOVBgBEVOUAzpS4mJDJ1iQFEKCEo+QdGjKLgEBRcougRjkwwz++YOr370mWt6ZnRMeaqntOAA0Nh6BLzyGCaGH4VJR2FbgpZEConioSQVt9CaQ49NITS22sKqs+i+WGRKWgLc9mAan/9RLZ7baAutu4qHMrLcYfHFWDWpLN4TOw54gmNPA3YVswkJsUrwoIL2KTo7VAF0kj9G1lo+VmhIVCw/Ok615jxWVEg1ay6jDJnu5QwjoEgYqUg4FUJKmCwhOpLFUTJwORb2efjm5XlwDvwusuTqtKRiAwdAGCKXJJepUGJicSIWzT4Xv5ELYckj48TiGu0mIbAN0SqwrakGi47uR3Nj7bSnd1qAW+nucuCNf6ixuf0mUt6ZTad8BFGAriwIpKanxQDXHEKIXfgETJkA4X1JScIJAJPgjodT+NwPavH8Fjt2wWtcO2G9w7xIPTtecO4oGAy69a6gJNqCMQHmJNihJz7IGZA85gDwHYFYfRwBOww6kq4/Lv/xKpQFsaISW3ke0RIhEypgl7KhYtkFdQm/AxUaOShAuCFaZQMADBDXx1F9Hq76SB6MA79/OI0ozoFLXVwBuyyOQqjymEWA5zykLEpCCSUxRSQQNIkwiqzBsWTRjElC6Ifm9rWXXzLAHXM3y7X3Pu6kTs0/fN+j2WKpiNMWBwgCK1q5y58xLuUmvpz4vXXQx/cVcKucm3Iwg+LOR1P41Pdr8cJmCW7FUkeAphq4aWS99RS0yjjvZAJvvNhMRgxqJzf8T7XyEsoR4KfiLYltCRai7CCRuU6G0uqLTgXc6mRgykuEeZwEMdA1jVzWOAy5uEQnodKKC2sv35jwMFabIXIGwQ1wZK+Hf/5oHpwT3PNIKooxBxBGYHH9G/Cwkb12OVQey9Q8xK0sRfhAAMpdnLF4Ar6fxrvfeVJ+9qxZj2/YPsYwzZjegjttAFJDGweCCx7beOZ9t/5utZW+Yi9OX1RCoWSGJzaqgSQ+TgjkGOSQrDBh0ZkCdAZqAIxS3PuEg09cXYt121Rwh56FiJKEfrEwEIMACYeOWtskEXWnWm+gqiXXQV65LcJu4jh1+8GOBAzi7So2lGOj50hLTdQJwHXnD4kDs1hY8F4mJuuufSh0hYe1CzkIKBiERRaOSw4iYeUyHDHTw3c/PoYP+8B9T6QQaNabxxZdi7sliLKNeTXelzgBZYbTFo/g6/8zj1Tdmz2kChfM6KgZqqtNT3tepwU4IWk8v3YrmhsXDBy/iG4q5tfOq00PwTRdpByRtRwENMEhSeI1FE+ZpqawmK4YADMI7lnj4Ir/XYf1W23R/o5WSoCV/BuR5m2GNES32qr3spr1noqyVJZdqwpoFfik8vtX31IJ7mrue0FPlDLGCZVEc+FHujcUqy16uMvCltIy68oKjyw14Sx2DoGC07BdoWJSCeWQRYbkB6Wcob/Hww//cQwfuxr44xoHARAHrxMJ7JDDyIpAUMCtTd2Ikwl3JudAQDCUd/DIc/Px9jev2NQ1Y8HA+Oh21DX0THtuKfYzDMMACg9uXdDrv//yS/oxuyPA0ARD3vVQ8j1Ydhm26cI0PZiGB4N6YThr2E2BelHOpEF9sYgkAQgJhPveBphJ8MfHUwLc221wm1aCWwO5XHASLUNH3io7Eifd8apl5vo2BZEVtCUB8krwVtZynM7lwyvuhA8VM57k6PGPL9WSBE3RArKgWGbVCaTq4VR3BCnqSbKzGwdR9hnaX7gE/TM8fO8TYzh1aQk0CD05kWcz0NWWyDHk6TfmAcwFAhfUc1FrFdGUKqCptogXtthYv2cxnloXvP8n//ngVkIM7G+Y+ztg3txucD4OILdzz2D+gd/8tvWkx54twrQ46nIlvOftk5g/04eZuH5yRhD401lzgNrAthETjzxl48qf1GD91hDcmoVOAF1Wpgo5r6jpDZiIcwDjMNfKGom6tdZrUVeTCpUPryxEEwtM6JNDUlDt6fs5zxGmefxCXOHjMbfWOThIgqZwLvBkxCqLWEzKq4KujwvuTsBkdmRYRUvGj/NwHSjjzmXJFMk0xPGijQr1OebP9HDNJ/P4yk841jztYNuwCVgsPkMRB1dmpQ9JuKMzQThHf6+H97xtAnU5cWVeN9iBZSf0PXD+OSftHBotoqY+8/IBLn7bGvz+vtUb6mpartmw9+yTbvnvh1FwXXheEet3WFh5TBmL57mY1+cjCL1MjRmG2voACADmklg5kufHIVi/w8R3rsth1YMp7B01Q3CrQc7Jx2oglfjwFlFSz8JJpPJuNbhKW51XUU+QPEYFf+gU0VkI0VSWCrOe3F4N2FzZHYJU/szqXyQeJ5WSWEYMX0OCmCgLThJPDhnDQng8EVTA87D8G6ikL6LWIZVg54I4CceQ6K/KGQdcjnk9Hn7w6TGsejiF7/y0Bi/uMIUVis5FOFM9AAFQW8/QkGWitAUD5vX6OG6+i5VHu3jHqUUUyzZG9ubwluxS0Gz6mp3b/7ihs+eMA4HugQEcADrbFyCTrX38rJPJrb3tW86/9pfP4LlNFn57fwa3r06jv8fD7M5ARHv5HPNn+Th2oYtlCzz0z/RhMJEvKC33hgETX722Br++J41SQMUJqAByQvOmlbxbLf+g820F2Ir1nmqbTj1ioErLTKr44GP2SLBfE30QowLUFZ5JZVGJ2LKr1pyF2TDRsWEtEiFsKBw9fCLhIbfmcgGo83LGwhWmAvao1BYQrR8pC0B8jrbGAH93bhGOBfzTj3LYOGACdniuAhE9OLfXw7IFHo5d6GL+LB+Bz8ECYHZngHk9AQwI/vXcJoLH1y/HOaesvLWva8HjCMYP+FweMMCPmd8CrzCwdU73ko89u/5BI13bcJ6ZysMPRHmwF7aZeGFz+PMwjtV/Zqi5K8CcmR7OWlHGFRcVUJtlIBTYuMPEldfm8Os/pFBCyDGkPqreVLBTI4JTvKgU3knpCIhqByZUE80aU+g0JPmXxEXaJXarqSkVioqy/4DRzvVDefRKermy/Vl1qA4f6eBhJKYW8rUYwt7yseRCwoVqbNFJ1C1N1cul6SYh2EVFKh69prgKCHc/OAMrczgmxwVnlAAOXHltDpsGDIBy1OQ4Pv43BZy1ooQ5Mz3UphjSKcQzNiBgvjgVpRIBRSN6u3OrgtTxH3tm7dC2oxd0HTDA98/SlfG1b1yNZSe/daylec5RJ8wdOKmjYSPWbkmh5Fth7xNDqB+WAR8EkyWC7bsNPPWcibECwYnH+Bgcofjyj3K4+Z40ypwKlBKVd1ex3lSnJjIzPooUlCGxVI8ajGoORmlm8m9MXwwlgUOmnxFlWzLxV6aRCRoU3lf3EVLxOJ408nEyWjFcF8j3RXUqRaPMIlJ1v34L+9CHhje6KE2T3qZRLWWyxt5p5coW5lkCMc2Lnh1p3wIS82cHaGliePJ5Cz4D/umDk7j83ZOY2+khZ3HQgMIvm/BdC4EnArsAirESwdW/qsW6wRW48OwzbiHellvmzF1wMJA9cAsux9IFHQho11U5tmbWfU8PXlRiXvhrS0+VXEj44kszjrESxa9WpTGnO8CGbSZuuisNl4YkOnTbIhL8E9Y7oiXilzEiy12Fmig/uiYHQqcsQGXcdzUvpkZBoByjbzo0Q4ojmsUm4Iq9jmgIEgtOzS2PyFxH/eMBGOHryryCWBfnIFShLBFdkZYbsRufsfDY0ForVwTKqZAsiehuRkKezQLAMRguOqeEvfsoNmwzcPFbi6h1mBBMfAM+sxAwA5zLJGgm2I9PMLOrA0/uWHBjffvSq8a3Dh70ad2vTJgcLZ3daDD/ayzb0fnezTt7H5zRmkNjTSA8W0YKxMgARgagjghp5RRZCzjvzBLedXoZHW0BfJMrKFG4t3Y/jlmIeDf0WBOpbUfKCRLyoAwnUJJXAV5lASk/jr6IrAr2JH2ZAuTVHENTjiquTS2zXnkcgbjyKQmPpx6QJbXsqFFUInQ2ahce5WzGpeC4ti/eH0uSNNbO5esqM5FzgPrA4G6K39ybwm//kELBE2c04CZ834brpeB6KXi+DcYMjOQpduxtw+LZXQ+Ostnv/fKPfz/W03vg1OQlAxwAnOZ3Y82alsIXP3DGc1e9D97Fp+6DZZiwTQcZy4Jj2SCGA/gUWRrg0rdN4luXTaC9JcA5K8s4do4vpCEN4NKSJ+VB6SAIdW4oqgmt4q3E1AtLkNiCV/BqBZByO5AEsxprQvS/kn4kgT4Vpnklrqt6MZVXqqiEperdiK23roPL1wljTaDr4DFISTwxWAxQNREiujEJahpPAtAogpHLQKrwkxITeHq9ibsfcrBrr4HP/ziHn92WQYGJpCzPt1EspVEoplFyU/ADA//5Rxvf+00fjPp3u59/l1H42uXnvhSoHjxFiUBuGxjNr73caVi48ulNowuJYaElDeTMAEWfYC+n6Oxwcd6KPL7wnnE0ZBm4S9Df5eO8FWU8+YwDOKhiyatYcYWa6EUz44qwSWdORcYOxCSAAvrK2O9KmiJBrobNqhOkGoKru+qnN+V6LRR9YRk9VgGruedJ6DGUQJetRhTvJpd9cRCqLVLbJmCUR8FYkcljoqIwYSJAjlECWY5KFoKSpeIE8GWvT6Jp+eAcMDhWPexg/YAJWBSj4wa+8n/qUfIozl3uo9GxMD6Zg+cbcGwXlPhYeTRD75yji/Utsx6j5CXZ4ZcH8EXHLcHWXQUe+BOrPnLx1jmfunos1V0bIOeIsrZH1ZfxwXfk8aajykjZJjxXpK1ZBsfsPh+tbQH2jIbB2xHAq8SdgOiqCeVVeDfXXO1VKz6pIK5CM+TCLbm9GjDJdBsklz6IgJTo8ISqEu+MAR1tVoAOotISHk0GJMFMYisv46DElUDIgzIQEES68gXNixw/CLP2I8lQhtaKvxxcFCEyGGQMO7WA3XsMbNxiwgtCwcAwMFww8YV/y+LuNS4+eK6NhmwdPJ8gl/FQdn08sm5O6YN/f+r3cln+RUJyLxWmB6eiJMf3/uUb/Esfn/OA5+aMkb3G8hSZNFobTMxotXDWEoZlCwJYhkiFkqGyps1AHWDNUza2DdgCuZHrPRkWK7rvypJrsipVrJhUqS+YVEzUSSCrWSVqowj1QldPKsqzKfeJLPZDY1lRlmkTrxnfj1UU9XGC/1dZGMfbFdkyuvqor6FHOKrPEws2ZYFcjYYp6wvp8eXKpFW9t9VCGKDUyBHKip4TQFMcf1pn4/qbc9izL6zXTm3ATIHTGoznsygW0jBIBsWyjVLJgJPpdseDnqvuf2LH105aerz/cjD6ki24HLfd2+hmszXfXnyk4w7sKH+VwqXtzQbqcg72jeVAwJBNi0KanIpkVB7ETp941abwcOUMSuttQM+vrFY0U++oXF2Kq3Cvkyn+qseqz0nwEs14xxg48AWmMqpFEwIxRaFVjovpTExTBF9nUUc0Ej5JKC6IShIzDlGGOYyKlRGI0XsCoaeShUFWStw4j+PII4rCZQ1Lya9CK06lG0NaDxPEcJC1TTRnA+TzwIvbAzTXGWioz7HG9t6vnrak5+rR0bz72ZeJz5dObsLx3ksvRGujVVx63IJbTzj+WF5fAzTXe8hlPFCDKZdOcSIqhkYFqAZyGWtiEtEcSsaXqFY5mUCsOXbkF1S4N5kO9EmqASUeHHFYcPI5U7MRuQDVX3uqDPD4gOqBWHEHZOgzQXXmRMckAq6gLzz156hxK4oSkgzKCgvq6/uUxWUIfPm34oSqhoyImRYwYLLEMTLqYWTMw4yZC3muYe6tWwZ5cfHyd7xceL58Cw4AXV1dqK1teTGXS1/WVOde6449QpvqJpBLl+BYHgwj0MR/3USp1luCW+HeUGlItUwdAe4kJdE8mUgAGol5BVRYbhXERP2Y6iefamaQyq1TDS1aMMHDq1tqKAtMNd5EccurC1VVJ4cEe2i9oVhqFhaVhwA5wOLQbRqSfMjMIBGDL5z6HMwI09+gqDIgmHIecw7OAhR9A8NlCuTFFeLkExex3r5Zl/XPnfXizl17DgU0X74FB4D+efPBghF33tHHXdfbWfpkbw/QXL8bjXVjSDlFGIYPmcFT9ZdPzuzQckrLnUwe1tvoxZxZrXsSg7V6G0RoxxENxOpn1Dir+nH1w6ZfeO5nVOZkKgtIIGHFddCLjToliA9WpENMZ9XVxGREsScyATkuIKSE0CZDbzW5MfE5og8ubwHAXAReCfsmXWzZV4SbasDAuPXJJUuWXLdjcNidP//gPJZTjUNiwQGgs3suBncPBNn2Czfu2dI+vnbrz2vSxk4cOxfIGDQGuIoYzZ6qFlyJ84aeoVMtBU1SGRVsFYBGJX41rl2NewMVQJVWuyo/r3L8dEDnXH8vaXUlGZJURKgfXFdZVPUkeVMzeeShUT6neD3pgBFL/7DrWeT55KAQ9VWi6U/lixORt0l4mLQc8m/GRRyKaOcAWbdFk36AcD8DAh81TgFH9E2iu70Z77toxfhJy1Zs3Du8MzjyiP5DBctDY8HjHzOHpoahVUsWnXD5Pn7pyC/vPQq7h1OwTAIzbENSSVNUcxrr3tKTb1JhxYVjJ+bdsoyzCu5KS52I91bfMYHmpHVW8zErgJqYMNPMh5c3eMIgy3eIvJrQrHxVo4mYlojDkskQKs9Gxf3IkjMl8SFKjEg4jVQLjjhnV/vAPCwd6xtozhn45IUt+NbH3zbSNuNNl9/zpLuqYT8paAc7DpkFB4DO1joAwODuiRvOPvkMs7/ducogN7Vs2bUezXUMNVkGkLhErvy99HgUURHWggJskpAEE+CuGuutpKfJt9GoPirBS5LbEW9PXg2SB2qvqxx0oEXc9Ox5qDjWtXCFf8tIFalxE3CNh2vaemitpQxIQv4uKTYDCTPLwrh3Lu5TENGqBIA4ioKFsbEyv1bmd9IE0MNLh+igLs8NY6jLllCbBZpaetDQdsbeOf0rPgPfu2HRnJZDCUcAh9qCh6OzLYfmuvK/Lzt++edG+cK9X/xpE1Y/mxLvFgDNuQCzZvggpmJ2CCAzPUwii2bqbnkV3BWcewpwa4tG9ZZc0B8EtdB4e3Qs0ZqX7u81opHk35J2qEYveZi2gSReS7fwkcVG/LrJlDZRhDO+z9T7CUseMIJAKRQUFexU4laiT0YB5hFs3G5iaIKG8eLA8iOL+Mb79+GSt/TuXXTc8s/tHfb/nVjT1zd5qeMVATgAGFYtvnn93dfd/efOT4MsHimXGgFDRKB1tzCsPK6MdIopqUqyaCaJa5uEBevNKuCu4ONULj6rg7tCblehoax9k4vKpDMl/vXCP9VWnOpr7Weo85urG6rcjyW9hNynHF51QgCRRVVVm4pem1rFqzhHMwjvy9qFLCBgAQ37XFKduigyIaFAqUzx0J8cDIRll7lvgvMWHNu/aOTdp9uf9sZuuq61ubIq7KEarxjAAeALH3gH+mqCn190VtdH5sycM37tb9rw7OZGgNswpeQdqdUJ9YToFtykPAF0RUGJ+gChIqEB0MGmgo6jChBJQlWB+sRqxX4S+6eUVfSRDKrSwJ0IqlKL+lTbL6mL/gaVU4yH27UiQaqSovBsqXkHjIAFshuDAHQgLXmktMRJykmJkAEImAnwDOb2pPC357qob5o7vnbnUR95YUPdz9v7Ln1FsCfHIeXg1cbbT93FajrJjY880OPvGmn6j+0Dz6WOmDkIQjxo8AqRYxLZBU0sMC1pwRVQa84dKEAmugWW26qZU0kzphzJK0BiNpDke0Dfp71UtbdJxJ1oQVBEeh3DJkySQ0eqSaKUREi2dS2d65MjDB2uEGKi/WKLbMqqXu0YEc1mORUqCZeto4i4arKAghEmvJ7RRCTCRcoCcEYAI4XWWop3nDq/tC3f+r6bH8WvOxrGpy3acyjGKw7w2q6P4l9/ekvwp/Wdv37XyeuDnub8L554YXvqnsezmPRSUSpUeEoEPaGxxTbVRlFGaOtpIqZbPhk6zVAfV6MMSQNczZ0f7ddoD9G2a+9zIOAORzWZsNrxmgtfdQQl7hOiBFtNM3gUjUUQLRzkIlR5nzh2hseTjxswwuL24vuGtSeZAc5YxMEJ4QgYgWOaOG1JEQ+tG0N7+6LSWHnG333sfV23nvTISLB4xcWHAGHTj5cVbHWg4/bbbsRt16/ki5ZftPZXdz2/7md35N5y12PE4kYKOaMMgzD4sEAMC2mDIG1wOAZgGxxW2ILHNCotudo7qMKJA2jWPBnYVDXwiUiKUy2oSj1e7pdd1eQ+dT+JXiv53Ap9forHlEzz+aEsrCv2k8pqXqT6OUheRSsdQYnqV/JAyM8q7kfd9cwAlukBxEU5ANxSFn0dHBef01o4or/10re/7YO/5jWPsb+96MJXA3qvvAWXo3vee3DxFQV+xIyumzq6as0T/T3XWnxL3UWnjWHdQIBrfp1CgQt6YlPRES0CN1XDZCvBIIdaq29qP/EBjuSVQY3aU/eHB8fHHlx3h+izkgrWEln0SFUhJP6SJH7qAX9VDn3VpV0B4kWoeg6J/H4hJTQ4hyw7IS0+AYdPKUxDLC79gOGam9J4fmsd/ubkLJYu7Bqrb27+h+Hft93Ey18Hcb70Mn+cAx+vGsAB4L++dzk+fOXP8Lal7b8cmN1odTbOvProGfc3TZQ2wSAEDgVSlIeWWwJc72VJVSuH+HKajNtIeotVtQLKsfsDY0xvFP6Q4N8HuK6cdmhghqpyxIWSKj2W8ZfQYlWS3yG05vEH1VepsbKiVssi8eeCvDJyBEof1GhRQARt9H0TQeADhGLTzhQ2DcwDsxcOT/LcJ7ZvrPnlCe945lUFN/AqAxwAfnjl3+OHANzS2M8ptczdO1Lfvv3xO1tK3ECDBaRMwDE5HBOwTCkT6jEn4gePf01ZbFI6yeQPrv6ABHqoRrgsQ8IUa0NfPEoLTqqDW3XhSxoyDeSreN01p0w0QasGUCWOmWYk1xmqgVA/TBSExRBWupJxLGHtWSImOaUAIwwB5WDyvIcvQwkHLdtIwcF7zqvBhrGT9p599omfdT3v5wtbG15BVE09XnWAy2Gn6jA0OnF9qulscuqJuW/t2PXfLfl9o0iZFI5JYJsctikWlkIaVLiw+ttwxPWvwaOkWrlPPU7BDoApdO2kiz6xP3oogU70kNoqh1YHuurjUqyzCmgC0T1bqysvowOlH1MW4qy2MI45hrDiNFae1Kke2QJFIgw4wgAr9XMKbk+pAUo5AsYRGLFzh4CDMw+gXThh8dl7T2te+TmAXU/o4QE3cBgBDgDN9TkUJyave987l/kNWfO7t6y6v2F47xAMg8OxANsikV4eO3OIxkt52MUrCL1vJMzD0hNuYzBHEQLJy3qSr0irnVBP1IUsiO7NrOoRVV9OvhWvtKDRR0hIglE1WCS8nBUciyBpz1VlJw5Mk9Iqjz+LlBtBwnMpuhKLvpREO4dx71NhcPwQ4AQMnFuwUy2o73rTPpo76VPlsvUfqWn657wa47ACHADSuSyKZe+G885cPDI4MDjbdXu/c/e9a6xUliKTovGPQKR6QiIQsHCxEwQAwEXZOEirHnfHBRC5k8SRakyHLrfJkZQVtYAtdcFJFNlQU0GIvq/KUBlJ9HSFhkSgrkJTNOkQOrQjm0xiGS9uDqaklyGeLHHHZAI/iG/SXS+/l+TfwkCIs+pZPmwzQEvnMo8a1qfrWpZvNC37d4Q6hxtehx/gAJB2LPbYk+tWvfeSc+0n/7K+kMsYP964/hlCuUcnSxxll8E0iOi4bMjAetG6OmAcvuyMG8Tg9kPrIwcNu+zK6lCy+7ScPTpA4jvCaikgTaop0C23zF3UrHlC6VEdLuoEjNYIkllEoome2BDRknADT6J9CkkwllUF0MNPFFppcWIYA/yAwPUEwAMlNoUQDtMgsC3RBLhcJshPEjTU5djc+Ut4Q+vsDzc29/9scmKXW9t0aOK5X+54TQAcAI4/bh6eePp5d1Zv2w1BUL6vs5FdmCI7vr768W3YMmihLmvAsSlsU/TBDBhDwETlJCMkqa4v6IrsscjCOpIUACdElGzjekZ5xSJNas8KQIBqOrKiayOhbyu6yrSu+4TcpykaykJZtd6RmiKtOWLPZvJryEuCpBVxy0YeAR0QXBsQzQwYJ/B8grJL4QWiwzALRFNWQghsi8MwCHJpH5t3lTBanIG2rrYvN7T03eSkO7aP7NvrtrS/NsANvMKxKAc7lhx7BI6c11dsyebX3/vspd9+y+nprx59VFdATROGwZHLGKivsVCbM+DYBmyTIuUYyKRMpBzhJi65BAWXoOQBri8biCLsphv+YJK+MGiLKDk07RdJQCeoisLFtWz6iteDvlGVNvmB3MiU+ypC7AHI/khxBlQo78lu1WYA2/RhWz4c20c65SPlBACAQoliokRQLAtLXnSBsQmOfXmG/CRQLnPYNkFbV2eQJy1fvfiSU7794GN719c29hVfS+AGXiVP5sGO63/2Szx1RwO3mj5x34yeXzmOaRzvlSfMhhxDR7MPw+QYGRM5hI5jIJMykM0YKLo+XtzNkS8b8ALRB72iWRYh2uWaKt5Kqqg1lMTlICiVJSPU+6GqoJaOCEvMaRMifOP4L9GuCtEHU0bFlUPdRqpMuGQBUSo9izLEIYzMNFjUgt0ymOhYbQZwbA8px4Vtudi808aO3TZKZbHYNChgGgw7h1zsHvZgUgPNzY3oX7CsfPKbzv/nC9584peGrcX8M5e98m73lzJeMxQlOUjdFRjZl0fK5l8479zT6LELZy1f+5c7aXvTwPJb7h8xN+1swLxuG7k0RU0WaKxhOGXJGIq/L2PVmiakHAsZg8Chwu3PDEAGHEVFmqLLvLj2VywqaTXrXel6l2CfFtzKO6jypVRz5GpTcvGKpGAoikqFZQ+pBhQrHn2WmKIIoItep6IlexC2Y/eRSRdxx2MGrr+7Bj11JdTnDOQyJiyTYnZ3EfnSELbvm+F3WLWPrDj5Layvt+8R38cXyqVxOKlXLtz15Y7XLMABoLEhCoL/3MiehzC397SWgT2j683HH61vyOVhWwHqa4Cm2gDNDWXM6fLx0fNH8OQLFFvzTXAtExlD5BxyKAnLlIQu5+RlHTowExZTdTTJxWeyLLLOxcOXnUJJSaZZQgJboRyyOiwlsoCmqP4KjjCDhmtgl2Q+fu+Qe1PR2S6iJ1GXag9px8XwZAE//G0btg+acAIfQcARBBwmpQhYFisX17PmGf03jxQaPrDqgQ3jn1t4zOGGxwGN1zTA1WHVrgBMFOpag2tOXN5sDbY+uaA+M3F+mjyP2hyHQQ0wDtRmgWzOA0Z8lAPAt4ywF7tSEUuVEBWzF1MBhYIolCaiNxFd0UGtlX8jyWuCGJzzKt9OP44xQTMYIKo3UMS9cpRemFIJEv1UY708elVVPZEcnAYhwF2kbRcpR5T1mNjNMTZpghKCsgds21PG7n3AWTPnIVPXeOuyE4589qzm1u8jKI8T89AlBb/S43UD8JoUAYBJAF/Zu3sAxuILZk6OvoDSuHX+unXPg3ku2pt8rHrEwYsD9ajNMXQ0DGPb7hQmSznYGQqHAxYjIgOcxlnmMUdW+blSso3E9yMLnaAvauH8yBuqOJEivR26YiKqTIXOFx6+FipBHmW1AyBM8JloMoY+AaouPCH08IimUAZKhbxnGj6y6TIIKWDjTqClzkFfB3Deikn84s56WNRHR0cWc/qPwqLF829dsXTeFftGJ7fWkxmHGwYHPV43AFdHS1sXuL9na0PDvE8N7Qxu6PSP+lhQWH8yte/Fqkcz6KxL401He3jnKSX89qFJ/OJ+E26QATMFXWFJCw7V0sW1AMUCM1xI0jgElhKqW/Roe3WKEsWPIOlh5QrIhc5MQeJ2qSrIJRGnwmKDEFH5lQh3Posy4bk2mWJ6EnNyy2QAyrhxtYPfrG7ChStTOPHoEs44Zi/ufNTEWactxikr562eCNLfn9c35y9DeW/rrJmvP3ADr1OAAwAxWwFgg+vzDfVteHZws9fR0HDJT846afucZ55Ya8zrMDC3vQbvefNuPL25hA3bs6Aprnk5WQU1QaSSGBVFN2W7kirgTlKY8BbXEglTtyJLLnrASxDSENygJK5JggTIZSc+yB1i0hHGERACGrb4k3UD5WUplgkZSOjUsUxg7TYD19/RgJGhBrzQZqKjsQYzZy8JPvOBhRvSpvnBZcev2Alg/XSe2NfDeN0CXA7bJACwnvMd6z0/OPu0E1q73nX6ipu3b3y4ltM/Z0cLFD43UeMwZCwGNyAo+cLpYymO8rhKbBjgRaVkSGBo4NalwaS6kqxuC4Tey1Bz9zkQBCHAw+/A5RUDYjKpICeAALOchXKocgl4dOVhTIQsIJo8Qh60LaFxl1wLEwUOghKydgCjIY3unpmTC48/Oe9Ykxcsb+0eAIytr3dgy/G6B7gchHSDM7b19BN7tufzhSO7WoMTarNH/dvT9z7vZ1ODjQ2tIzUZG9g6HiA/SWB4FBmLR+BULbdpEJgG1TRvSikIFRW3CFVjUWJKEmvpSmhvCEwWyHowHH4gvLAAiSRLKusAIgY54eF96d4n8ZqYU4imwVI9kaGsLM68kRKoZfowjEmMThgYHm3BZDGNWTObxr/woQUjBbbUbMpZ72/v6Hs0lc6OcQ5G6RsD3MAbCOAAQCgFAOaVtu3LpdvvYt5Q/7/+6vryD750wz8+8fhj/6Mwts1bvHDz/J/cgdQjj5lozHINqMKpQWCaFJZJtShCjY8jlv6S4JY9s8RrSSdLHNbr+QyFUgDOxRXCMMT7EsRt/yQtAYl7zct8CzUwi8nYERKW5AkA04yjK4MA8H0C0wzw5y02/u8fWkvnLO1cu7i716rvOfaGNbed9y+nnHO7097UUNoyMM4WzH3pheZfq+MNBXA5rFQPIOxh4fl1W2Ca5ncs0/jOO9/cYzQ29v/43Am3P0V2nVge32VMForgjMH3PcCyYJoEaceAZYooBtcXZpUSEgKyMjA1WbheAt00OGwbSFkM6ZSgCeu3M+THOTIOYFsUtkVBzLiAaxS3LuUdyGatcjuJ3oNzwPUJACa8jkTE0fu+j7RjgMNAmdXCzPQGc+Z1PXi617y+7BUvI4QFhGbwscvv4rUNvYXD/Xu9kuONcy06wLFn7yhsx2kYHh765p13/sF+6rmtQTbjHOdYWDwyPAyTltHWKOJddo0EKJUAy6JwbAOOJQCOKP4ckcRIqdJzkwCmCaRsjkyKoTbro6uliKGJcXz35gzGR1PobuTIpikyDoVjU5imorlTQY8QeT555NAxDALHonBsYa2LpRJ2DRE4FtDaQNHVnkZjUyMyDvuT7xeftDKzjOOWnOLW1Td83vPcfXaq4XD/BK/qeENa8OlGa0s9AOwD8A8AcPc994EQnFwsuWeNj09eQIk7ryFbAvGexpP3+HDzQFMtYFELTsZEXY4gXwD8kjDZsqeNjFcHYoWGEJF2l0kFqK8posTyyJcNjEym0ZjjSNk8KvdAieycwMMoPxpaadHHsljmmJgMkEmJMGHHAtobOExnEn/ZUofTli9EX3cOLY2pdal09mZK7bsBrD7ymBMP9yk/rOOvDuDJcdaZpwDA6qHhkdUAHuAsmA1/mO3e8mfW3dPX19vS9dmJ0Z2or3Vg893gbCue22Qh42TQ3W5gfCLA6ISFpnoKw2QYGuUwiIFMmsKxxHtYJkPa8WBbLljAUHJFlCMAmCaBbVFk0gSUlDG0j4ExG40ZgtECR37cR2s9R2NdCRsHy+jNdGL2nG5kUwEWzG1D2d3w7fL9xc3LT1hB+3qaqG2bG8FxV7am/nCf2tfE+KsHuBzNTY0AcJd8vHPXHnx6nlM/OLjzkbVrbWTTttfXPfvjIxPHnGk1U7TWmdi392E8t2YMaSON2qwBwynj0bUl1NoGetspxsYJ0jYDJWUAkyiWJkFIGhNuFpNFAtSJxazr+ehq4ehoncTDkxlQpNDaRNHVOYZnN9fglFNXorvdxdLlAcbyuXvqs953HYtZbV3z0dR89upfHlserak79JVZ3wjj/wN8itHR3goAowBuA4DC+CAIwVprr9dW20RYU02ANY8+iaHxcfQ0mrBtA9Qa95YvXXZl1nTfetTsYW/LYBZ1ORsd3ZPYWejGM4NlfOkDDA8904zJsTTmdFDU1hBs3lnErDl1Vl+Pefsf//TwlXVZ00o7FO2tAQZGU5jbfwRmtHH0zGR010h2NyXYPLuv/XCfotfF+KtbZL6S4857HgII2koTQ3XH9g/wZzfUIptOY1ZXARt2TmD1Xxjed14R9z7diC3bspjdTpHJMDy7aQIrF7aQ2X2tY5xjd1//CYf7q7xhxv8DpaBcf5n5LxQAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTg6MzU6MDcrMDA6MDA+gIRJAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE4OjM1OjA3KzAwOjAwT9089QAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 23359297
{'hecke_orbit_code': 4504149416743028, 'n': 1, 'trace_an': 2}
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id: 23359298
{'hecke_orbit_code': 4504149416743028, 'n': 2, 'trace_an': 0}
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id: 23359299
{'hecke_orbit_code': 4504149416743028, 'n': 3, 'trace_an': 0}
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id: 23359300
{'hecke_orbit_code': 4504149416743028, 'n': 4, 'trace_an': 0}
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