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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': 27, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [729, 9, [2], [4]], 'cm_discs': [], 'conrey_index': 82, 'conrey_indexes': [82, 163, 325, 406, 568, 649], 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 0, 9, 3, 0, -3, 1]], [5, [9, 0, 36, -30, 0, 3, 1]], [7, [289, -153, 36, -10, 0, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525472303055577, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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
Hide schema
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'dual_embedding_index': 1, 'dual_embedding_m': 2, 'embedding_index': 1, 'embedding_m': 5, 'embedding_root_imag': -0.984807753012208, 'embedding_root_real': -0.17364817766693036, 'hecke_orbit': 8, 'hecke_orbit_code': 31525472303055577, 'label': '729.2.e.h.568.1', 'level': 729, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2916, 'analytic_conductor': 5.82109430735134, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [729, 9, [2], [4]], 'conrey_index': 82, 'cusp_dim': 378, 'dim': 198, 'eis_dim': 216, 'eis_new_dim': 36, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 274911462105, 'hecke_orbit_dims': [6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], 'label': '729.2.e', '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': 594, 'mf_new_dim': 234, 'num_forms': 21, 'prim_orbit_index': 5, 'relative_dim': 33, 'sturm_bound': 162, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [198, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -396, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 1044, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 63, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 198, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -684, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 1224, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 1584, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 1584, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -612, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -648, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -1260, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -774, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 810, 0, 0, 0, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, -468, 0, 0, 0, 0, 0, 0, 0, 0, -630, 0, 0, 0, 0, 0, 0, 0, 0, -612, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, -1602, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -1422, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -648, 0, 0, 0, 0, 0, 0, 0, 0, -684, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -1332, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 666, 0, 0, 0, 0, 0, 0, 0, 0, 396, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 2880, 0, 0, 0, 0, 0, 0, 0, 0, 666, 0, 0, 0, 0, 0, 0, 0, 0, 828, 0, 0, 0, 0, 0, 0, 0, 0, 2664, 0, 0, 0, 0, 0, 0, 0, 0, 828, 0, 0, 0, 0, 0, 0, 0, 0, 531, 0, 0, 0, 0, 0, 0, 0, 0, 2556], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46267479
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 568, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055577, 'target_is_minimal': False, 'target_label': '729.2.e.h.568.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46267480
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 568, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166203097, 'target_is_minimal': False, 'target_label': '729.2.e.c.568.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46267481
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 82, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832601, 'target_is_minimal': False, 'target_label': '729.2.e.b.82.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46267482
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 325, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911462105, 'target_is_minimal': False, 'target_label': '729.2.e.a.325.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46267483
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 325, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071930426073, 'target_is_minimal': False, 'target_label': '729.2.e.i.325.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46267484
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 82, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872675685081, 'target_is_minimal': False, 'target_label': '729.2.e.g.82.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46267485
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 406, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071930426073, 'target_is_minimal': False, 'target_label': '729.2.e.i.406.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46267486
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 82, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518135609360627, 'target_is_minimal': False, 'target_label': '243.2.c.f.82.3', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46267487
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014535981990131, 'target_is_minimal': False, 'target_label': '243.2.c.e.163.1', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46267488
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055577, 'target_is_minimal': False, 'target_label': '729.2.e.h.163.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46267489
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832601, 'target_is_minimal': False, 'target_label': '729.2.e.b.649.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46267490
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543036659, 'target_is_minimal': True, 'target_label': '243.2.a.e.1.1', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46267491
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22517998170407155, 'target_is_minimal': True, 'target_label': '243.2.a.f.1.3', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46267492
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872675685081, 'target_is_minimal': False, 'target_label': '729.2.e.g.649.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 46267493
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166203097, 'target_is_minimal': False, 'target_label': '729.2.e.c.163.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 46267494
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518135609360627, 'target_is_minimal': False, 'target_label': '243.2.c.f.163.3', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 46267495
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 82, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014535981990131, 'target_is_minimal': False, 'target_label': '243.2.c.e.82.1', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46267496
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 406, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911462105, 'target_is_minimal': False, 'target_label': '729.2.e.a.406.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 46267497
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 130604389227302704, 'target_is_minimal': False, 'target_label': '3888.2.a.bd.1.3', 'target_level': 3888, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '108.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 46267498
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 162129586618896176, 'target_is_minimal': False, 'target_label': '3888.2.a.bk.1.1', 'target_level': 3888, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '108.95', 'twisting_conrey_index': 95, 'weight': 2}
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id: 46267499
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 189151184383121339, 'target_is_minimal': False, 'target_label': '6075.2.a.bq.1.1', 'target_level': 6075, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '135.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46267500
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 568, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525472303055577, 'source_is_minimal': False, 'source_label': '729.2.e.h.568.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 211669182519973819, 'target_is_minimal': False, 'target_label': '6075.2.a.bv.1.3', 'target_level': 6075, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '135.94', 'twisting_conrey_index': 94, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1260175
{'charpoly_factorization': [[[9, 0, 9, 3, 0, -3, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 2}
-
id: 1260176
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 31525472303055577, 'p': 3}
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id: 1260177
{'charpoly_factorization': [[[9, 0, 36, -30, 0, 3, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 5}
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id: 1260178
{'charpoly_factorization': [[[289, -153, 36, -10, 0, 0, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 7}
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id: 1260179
{'charpoly_factorization': [[[9, 81, 306, -132, 54, -12, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 11}
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id: 1260180
{'charpoly_factorization': [[[289, -153, 36, -10, 0, 0, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 13}
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id: 1260181
{'charpoly_factorization': [[[9, -3, 1], 3]], 'hecke_orbit_code': 31525472303055577, 'p': 17}
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id: 1260182
{'charpoly_factorization': [[[1, 24, 573, 74, 33, -3, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 19}
-
id: 1260183
{'charpoly_factorization': [[[2601, -1377, 387, -84, 0, 3, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 23}
-
id: 1260184
{'charpoly_factorization': [[[3249, -4617, 2952, -591, 81, -12, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 29}
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id: 1260185
{'charpoly_factorization': [[[361, 171, 1008, -127, -27, 0, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 31}
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id: 1260186
{'charpoly_factorization': [[[1, 24, 573, 74, 33, -3, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 37}
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id: 1260187
{'charpoly_factorization': [[[47961, -29565, 9486, -1920, 270, -24, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 41}
-
id: 1260188
{'charpoly_factorization': [[[361, 171, 1008, -127, -27, 0, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 43}
-
id: 1260189
{'charpoly_factorization': [[[71289, -36045, 12780, -2967, 405, -30, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 47}
-
id: 1260190
{'charpoly_factorization': [[[81, 81, 18, 1], 2]], 'hecke_orbit_code': 31525472303055577, 'p': 53}
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id: 1260191
{'charpoly_factorization': [[[103041, -8667, -450, 456, 27, 3, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 59}
-
id: 1260192
{'charpoly_factorization': [[[2809, 1908, 216, -622, 144, -9, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 61}
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id: 1260193
{'charpoly_factorization': [[[11881, -6867, 1620, 431, 117, 18, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 67}
-
id: 1260194
{'charpoly_factorization': [[[998001, 161838, 35235, 540, 243, 9, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 71}
-
id: 1260195
{'charpoly_factorization': [[[157609, 27393, 7143, 380, 105, 6, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 73}
-
id: 1260196
{'charpoly_factorization': [[[2809, 2385, 2601, 1160, 270, 27, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 79}
-
id: 1260197
{'charpoly_factorization': [[[2601, 4131, 2412, 597, 81, 6, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 83}
-
id: 1260198
{'charpoly_factorization': [[[998001, -188811, 35721, -1998, 189, 0, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 89}
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id: 1260199
{'charpoly_factorization': [[[361, 2736, 6300, 2141, 324, 0, 1], 1]], 'hecke_orbit_code': 31525472303055577, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 8, 'label': '729.2.e.h', 'level': 729, 'portrait': 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EaQ6IDlrmQY+QSeQFjDpmnD/JRmpRvSHQpGqc/qQLB1yrDcMRxfUNT8gK2zsHNTzJa5EZvnIrbORezcYjlvq+LyXT511eTI8Tb3Phnw8P6Ux48laNXjTS/t8LZbLHU1x/5j0xw57XHqnOZsBu4DS5YbrlzkV965yq75KU4tznBupc7yms9yR7La1XQHmv5IsP/oMk8c7V5+buXQy86fO3X+ltbZr/yjd785/o//5S+fb0j8lW5/oxl8da3D0pqgHtpfP3ri6Vs6Z94vo6R3y4svO+nFg20srsyytNZgaS1kac1juSNYXtOsdBOW1zRn1+DQsmDz/Bq/+mPL3HhJgxMLs5w+1+T0ksfCsuXsUsrJRc25Xsr07IiXXN3nRZdBIOuEKmRhpcaZJY+zK4JBBGlqqAWGZk0zM5VigGNnU7p92L3Fp1mPsFaACOgPDedtjVhe88A6KbLWhygFi2WlE7Njs09vqBDKIkxEu+Zz3rYRawPBsdMe2njMtSWtmiD0IU0Fg0hydkVyZtmysJoShiPwU158RZ9brhRsatdZXm1zYiHk9BIsLKUsrKScWoFDy5YXXrHEv/2xVbZNtzl+dpaFlTqLKwFLHcHymmGlk7DS1Sx3Dee6kiMdi+4v8MNv8NKgPv2tX/y5HzPn777iW0LpX4pGIbV6+/mGyrPe/sYGmf/9Q59kZnqKswuLv/bRT93xT//4Sw+GayuK+TnD//3ukBecPyBKasSpItGS1Ai0zXQ2YC0gNEJaDi/N8G8/Kvi1n1rgugtiWvVZmvUW7UZIq+Ez3VYsLCvOrnp8/Z4aX7w75eJdAy67MGVldcjluyJ++PWGJFUILH95b41znRp1HXH0jKLfb3HNRZpz3ZS9z/hcskty4DS8+FLo9CA2HqEXM9+E/afqNOoJoUqZagnWenDT5T0OnQy5ZLfhyOmIpw65/8/fNeLQgmWqFbHSjfn81xtYodBa84prB9x8neXsms91e0bs2e6TJm0Gwzp7D9c4uyRYXNWcW01ZWDEcXxEs9GOuvWSZf/OjfTa3Zzh2ZpqFlTpLaz5LHclKR7PWS+j0NZ2BoTMULI4k8TDihksj/v7rT3vbNy2/3Cz/ESfiV988v/N7TLPd/lf7Hv0Ul137/c83ZDa8/Y1k8A//0Sd5wZXb1O33HP43x08s/KvHnj6mji8lLAwUq1HKdRcu8Fv/YInr9tQ5uzzL8lqTlW6NlY7PcsdjtQerHc1qN2Wll7LUgROrAq8+4uYrV/jBl8dcsLnJWr/NuQp7rXScRFjtGbpDQzeyDEYpc+2E87YYQBD6lpPnfIQM2b1ZccF2y/bNAxZWIx470OL6iy2N+ipPHpyl1YyJY5+5GcNwBJefN+Jjt01z6a6UKLLMT0kSPaRVC3nq6Ii63+TaS1IePxyzsBywYy7kgm1w3tYYpRJOLkHgW4Sw7N6SMtOS9IYh/YFPd+Cz0lWsrMFyx7DS0Sx1NGc7sDzSnLejzw++YombL/Oo+W3OLLVZWq2xtOax0hWsdgxrvYTVnma1Z1nuw5me4txayk2XneE//oMlLt9do9NrsbTWYK0/Q625RzfaW36try/7d6E4rl9489ueb+isu/2NAvj+Z/ZTq9Xqp06dPO/eB594x4FDp//9/kMnSa2iPxKsDgXnRpLFXsIL9yzwn//BMi+4sM65lRmW1pqsdmusdH1Wux6rXVjrGdZ6KWu9lJWuZaEjON23IPq87aUd3nij4cJtNeK4wWqnxlo/oNNTrPYFvYFgFFni1KI1KGkJfaiHlum2ZfNsguePOHQm5omDISZt8vqbYjx/jYf2TnH+NvjS/SkvvSrkXGdIzVOkOmF2BtLEx/NTlpcbvOS6Ll+6p8UF2+DBAxE+DV53oyEVQ544pDlysoYnA7bMeMw0BfVQEAQCJSA1ECeWUQy9gWWtb+gNDGsDw3LfMtSa3TsHvPFFHd52SwymxfLalNPbHZ+VrsdqB9Z6mk4/Za2nWesbVvrCgbubcsMlC7z3585x1fl1ljtTrPXqdAc1en2fwQhqzR14te3/embz5X++Y8eO41E0Gl588aXPN5SK298YgJ88foBNmzcFBw4c/Iln9h18/7fue0QsLvfkMLYMI8tgZOmOBJ2R4NxQcq6XcOPFC/zmu1a47qIaS2vTLK81We2GrPUCVnseaz3BWs/S7WvWeimdvmG1bznXE5zpGGamB3zPC3u8+LKU3VsU7bpPt1cj9CWgiFOJMQJjYTAChGGmNeLAKYuxMbc+2CQa1LloR8DNVw9IzBp3PDzNtRf7HDjbp7Pa5kVXD/j6QyFbZi17j1n+4Vu77D0asmVW8rWHFTdfrlgZdDl8YpZrL4m544khadTgxVcE7Nk1Ypj2+epDCrTg0EmPdsPDEzAYSowVaGNJUkAavMDQ6VuarYRd2yJuuXzA91yfMtessbAyxfJandWuOzarXUGnD51eSqefZrLEstKXnO0LFnspL7r0HL/2rkWuubDG8toUnX6D7iCkN/DpDzz6I0V/KIjSutl1/lX2vPP3vHvPhXv+YGl5Kb7i8r8ZIP8bAXBrYpkmgzfvffTzFy2uivfee99DfqcvGIwsg2HKYGQYRIb+yNLLQL44lJzppLz48nP8+rsWuX5PwFp3isXVFp1+jbVewFrfo9NTdAbQ61u6g5RuX9MfGjoDy2JfsNiHREdcc/GQrbOa/sDyhhdFnL/VkGqJJy1xArc/VuP4uRrbZlKePFQD0+CynYrrLjWEtQEPHRiwuNTkyvObtKdXuedxnxsurrE8WGN1tc3WrZb79yp+9FV9HtjrsXOzz1K/w+rKLNddPuCeJzWz9WmuvKjPuU6H+5+epu41eeGllkvOG4Hs89gRwebZhIXFhDse8xklCilBG8v522K+50Uxvb5i+4zhuoshjhusdBqsdELW+j7dgaLTl3T70B1oun1Nb6DpDgxrA8vKUHKqI+iMIm6+ZJF/99Or3HBJyMLKFN2cuYcuK9wfKPojSX8oWOtpVjsxL7j2hckg9v7Fj//oWw62mvXP10LfPN/Yet6DzOFgyGAQ/di5kw/91uLCgdmTp7u0GhKLREiLECBEipAghEEKixSghEFJjwf2b+GXPuTxtptX+KFXrXDBjpizy23CoE49DGiEPs26R68uaQ19ppoeg5GmP9RsiQzDyNIbhaws1jh5whKnhlNnU8LQAoJAWTwpGAwVAp904PGC8wV7tlvO2zEg0j2+/IBi38EZXnt9yHWXr/KRL1sC0eD8HQMev0exY1ox3x5QU3XixOdcD5o1j51bBI/ui7nukjovv3aJP/zCkMBv8ZqbLH444Bv3x3zpviZPH6lz4fYG52/TbJqJuWA+4arzNUoZPGUBSyMM2TQdEic+vUHAkwd8+iOPwTAHIvRHlv7AfffeUNMfWrpDy9oQFgeKhVVLo93hPW9Y5O/eHHHNhU3OLLXo9Ov0MubuDRWDkaI/dODuDy2jyJJo+MYdD/i15txv3XbH/Suve/VN/3QwGPxho9H4fy/Ao2iAwP70iSP3/vqRfV+bHfY7+F5AveaWXmsFWGfVC6mRAqQwSGlR0uIpSyAljx/YxCP7m+w/fY633tLnlitGTLfarHQaNLs12sOA/sCjl53s4chjEHmMIssoNsSJJUksqXb3OA2wBqQS+J6gFgimW4KZFmydN+zcMmB+psNXHoI7H/GRZorXXu/zgst63P10Qjxqc/MLBJ3hkHPLTV58iWF+ekDdCxmlisVugjKCF1zi0WhFPPxMjZddN8WLrunx8DMK7BTXXxHwU29a4euPxnztgSZ7j9c4b5Ni62ydmVaDqRbUQ/A9i5JgLOw9ItBakKSCOIUowX3HSDOMDKPIlKvhELoRLPYl53oQmRGvvnaFN9/S4UdeY0jTNmeXmvQGNXqDgN7Qp58dv8FIMhhlK+xIM4g0UezilaWTZ/j4J788a435j29+w8u8fn/woWbz+QP58wZwHS8hZfpTi6du+/WVk7dtlnZAEPoYLFobjAFrJSAQwi3FUoCUomAuT1l8Zaj7gqVBnY/ftpNvPNLlpVet8c5Xr3HVBX3mphssrzXoDUMGQz8DtnL3WBAlkiQVpCnZReU+n5IWz4NaAI26YbaVsGPzgJQ+B04l/NkdNQ6faDId1rnhCo8XX93l/v0dbr23zU0X1zhv24CP3SZQIqTdSljrRxgLSsCm9oBuL8Ckdd780nN8/EsN9izUeONNA+JkmTuemCPRNW68YjNvvKHLxbs6fOPhAY+faPDYkYCds5LZtqARCgLfXYRSgBAWY8EYS5JmF2tiiRJ3IY9iGMbQGwlWI8FKD4Q34tpL13jn96zx0is0c+0aa90maz3H2v2Rz2Do9HYJbMEgsgxHmuFIM4o0o9jFAkJ6nD7X5YMf+9rmxR6//ra/81J77Gzn93dvfX46if63A/zfvveP8WdjfuV3Pv/jf/fmc+/d3X58vhHE0GwwjFxIYCwZe1sEIIRACuXALTWeEnjK4ClD4FlCz1L3BKsjxXJnhk/c3uS+J/vcfM0a73zNGtfu6TCn66RpyGBUoz/0GUYecaJIUkmqJdoIjBUuCyosYWBo1FLCICbwI04tR3zhQcnBkwFHTs6gTMiebQGXX6C4/rIuKlzkiUMtdkw3uPJC2LpplZVum6t2SFJj+coDIdFAMt1Med2NIz5/R8Lxsy0uvcjnzNqIpw777NoywzUXLHL34z3ueUoQxQGXXTDLZbtCLtvZ49CZFQ6eggf2NThwuEnDE4SepBlaaj5I6YIqa93FmmqIU4i1oB8JuiNBN4HYpBg74oUXd3nn93R56VWabbMho9EUy50avX5IfxQwGHoMRk6SDCLBcCQZRjCMM3BHmtFIM4wto9gSxZZhLBgkiuMnurz3I9/YPIz3v/dn32TSlVP/90fOnZ3n0uv//t9egD9w58e58WX7+K3f2fMj37jv6Pv2Pf7g9P/1011mp6YRQjm9jQWbR78KISRSSpQUKKUcuD0Hct8TBJ4h8C2hb2kEmumaoBf5rHZn+NSdbW57bMSWmQHveEWHy3aNGA37XHmBZddWRZT4aK3QRmJzcEuD72mOLViOnBWsDQ2fu7vBqaUZbOwzU1Nsn/PYvdXjwh1w5Z4uRi7xgc83WVmZ4qbLPK7c0+EbjwlE6rN5RtJspAySAGklWInyAjojwcKK4Arb4BXX9/jWw3W2zwfcdOUsP/mmJf7gSz0eeKZJf+SzvNbigu11Lt024MZLenzfy3qcXlnhc3eHLA9Cjp3xOXUqwFcCKSUCgbEWbSAxFp0aZuYSrr5iQBQlXLYr4u2viNg8pZhthSRJjTOLNQbDgEHkVrlhBuxhJBlGgmEkGEW4lSDKWDsyGbgNwwgGsWAQQy8WrIw8ZtRptgUPzXeXr3rfiZXrkxtfet+fvP+Df8673/WOv30A75z4EO2dQhx89LwfeOjpwx/srR1s1IRGeQmNcEQUO5C5m0AIh3Ip3V1JmTF39ug5IAaeIPANNd9STyyN2DJV08zUBYNY0oubHDnZ5Df/ZBZMikhTrr96wAVbY9IUjDVY65I4UgikEnh+wDPHA/YerNGsebQCyXxDsGlOsnnWY/smxe5tmkt3r6HFMr/96TbHjk9z0yU+l52vGaY97n0iZLruMzdlmW7FNOpOChkj6YwUK33LckfT6dd5yZVrPLh3wL7jiul2jRuvmOZdb17mdz4DDx9s0h9a1noeCyttts432DwzYvfciH/2AwPajQ6PH4FnTkh836KURQgDGVFYC2kK52/V3HxVik58kjTE2gaj2OfsUsAwcivaKFaFfBvGglEkGcWCYQxRpuWj2BDFJpM8GbhjHHPH0I8Fq7Gkmxg2EVGvj3j88MHpbz665YN/cect6T/5+e+74+d/2p4bxOhm+L/exPvfAvBfed8HuPH/3Kx++12H3nbV9hMfefmVT9Xq7xrhqYTztqXEkU89VAWwHZP6GbBtxtwW33O10b4nCHxF5Eui2BDGmiix1BNDlBji2NJOIUoMUQpxKhglkkiHJLrGvoNNHtsH2loctJ029iUEytV8tEK4chu06zDVlMy0FHPTHptn4bytEds2rZHYFX7701McOjzFdRcqLtwp2bNzlW8+lbKwPMX1F0hm2oZaMCSUIVYJUi0R1pLqmNV+jYVln+suq/OCS3rc/XCNLTOCRq3FdZcY3vO2Zd73GcNTp1qs9Q1rPcXiqsf8dJOZdp2Z9hTtRsKmZsLu62JCP8X3UpTSSOGCCYu7qJJEcW7RI0kVSaqIE0WUZI+xJEokUSwZxZIoFi5AjQVRbB2oE0MUZY+xyXQ9jBIH7mEC/UjQSSRrMVgz4uiC4f2fCLHCcPtjBxqvulH/0cKZg91Nre3XJ8Phif8d2PtfDvD3/Ic/p6+b6mWXLL79j75w7g9fccXDtasv1hw+Ldl/LGR+RnPN+cOCvYVwGlgqJxeU9PCVxVcK37N4niTwhTsJviAKFHHigJ4kljjVzhVJK3cNqXbBqzY4vW0owC0EKAmeBN+H0BPUQkEjlDQbiqmGZGZKsHk2ZffWAa3mGp/+VswdT8yyttTm6vMUu7f5XLxrhBZrfOWBBk3fY9OMotUY8cQhePqwx1W7LINIcc3FCVfvsZw9o1lcDRiOGrz+hh53PT7kwClFsy4JgzZXXWj4dz++zO1PDfn87fMsdy27N2tWOx7TbcVU06fV8GnWLbXQEAaG0NN42bGT0p0Da3EJKyNIjSTVgjQVJKkkTgVJIokS57zEiSBOLHEMUaKJC9JwbtMoyQNXGMWWYSIYxoJ+KliLM40fR8h0wPUX9HnTLREHjhm6a0vM10+FydIJuo2LXyLl1k+uHvtdPbP75767Ab69kcrBaOmHjh478z/uenC59onbL6DhRQz7luFAs/dIj7e/ssc7Xj1gqq1RfeNOjjJ40sdTBt83eJ6H7ykC37FN7EuiQBAnwp2cRJGkECfSOQhpaful2qC1cxe0zZySzC0RQmQrhcDzBIEnCANJLZQ064J2wzLdMmyZjdg00yO1a3ziLskffGmOzbUaV58nOG+bz/nbDbu3rfLpey0rKzUu26qYaUOrkbBwVHJuNSS4AKJEsGlKMj0NB45YVruGs0s1Lj6/xquu7/GFO2vMtSAMApSc5qo9gp954zl8eY6/vHuGp0/V2NJN2DydMtVUtOqKRl1SDz3CAEIfPM85TM5WrYAcd2FrA1oLUk0GdEi0JU4hSbQjhcQQZ49RYkgSiBJnBUaJY+5RWgF3IuglBj2KmKp1ecfrV3jHq3q84cY0S7C5sRfCHgq7q+0PJmLaszT/FMcz350A//NPfo5Umx//6u1P/ufTR0+0N037rMUBnWGTVGhoJHzl/pB7n6xxZnWVf/j9A6bbKWHcoNvXeErjeRo/8Qk8TeR7RIlyAM+Y2zGOcEyUsVKaQqJBa+ckGOMCLmNs3sOZgdsBXCmRBa0OILUQGjVDq54y3UrZND1kfmaNb+2L+eNb6zxzZJrzp3z2bIWdWwN2boFLz+sySLvcv7dNXflsmlFMt2C6FTEzlRIEHkK4i2sYBax0E9YGlk4/5dxqwHlbW7zosnPc+sCAZ061aYQJvgoQYoo9OxR/7zVLvPDSc/zxrS3uf3Ka5b7H5nbKdCOlUZPUa4rQF4S+xPddrKIUmX3oUO6qLK1bvTKgp9pkq5sjhSQ1pNqBO00gTm15T5wrM0oFo0QwSAS9VNBNYTRMsemQuUaXd3//Cv/sR/o06x6dbgtjfULfYxQF9Ich3cGZdiqmflvWrwvuu+uLf/Cil37vdx/Azy11UFL+9Ef/9NO/furUybnphsCLDKGS9H1BP/UZaY/U81mLAv7znwXsPbTG33lZj5df22PLfEyvV2MYhQRxQOz7BL5HmDh7L05crUiSSOLULbtJmnnamsz6I2NumVmPGbhdkjJjbvCUS5gEvqUWGOq1lFYtZaYdsW2+y0JnwPs/5/OVB2dZWW1y0SbBeZsFOzYH7NwsuGD7CC9Y4+N3eBw+0eSSLZKZlmSqqZEy4tSiJfQkUjj7M048dm/u8gCa7kCx2rUsrNS5ZGeN73tFh09+I+DoQojvJQjhY2yTJJVcf8Equ3+4y1ceHvCxr8zy0NEmO2YE801Ns6apBYLQFwS+xPcEnsIFzlIUNRkWd5EZi3NatAN8AXLtJJ1bBSHWzt+OU0GUQpQKhin0Ukk/gWFi0IOInfNdXn7dGm95eZ83vFDjizprqyFJGpCkHnHqE8ceozhgOPJZ7Z2d27qr894bb/k7Ko3XPuQF0989AF9c7hAE/k9+7ot3/Pqd9z65WWtLoATGByksvrDUpGCgBUPtM5SKTuzz8W/WuP3xBtdd1ueHXzPke2/qMj8VMRjVGMYBoe+TpB5R4rmDlijSvB48lSRakKYSrQXaiFJrG0GhSqxjbilAKec6+MoQ+IYw0NTDlFY9Yn66zzAZ8o0nLH/2zSnuf3KamcDnqh2WbbOSLXMB2zdJdm6JuXDHKo8fHfK5uzYxpTw2TQnaTUG7kdAZaL50b41W4MoOjIVh5PHmmyO+eJ+rien0DedWPXZubvHWW/rcv6/H3gMBzTBFSeFAbhqMYqf1/96rOlyy7Rwfv73LPU9Pc3y1zta2YKpmaQSGmmcIfPCUQGUulGNyyA1Yk0k1Y8oVLs2A7ggCEi1IdJYV1YJh6u49DVFsSOOYZr3PW1+7yg+/pst1l2q2zHiMRi26/YA4decrST2SRBEnPlHiglwlLb2VxzcfOzj367v2vNxEo7UPh7XvPMi/owBfWV3j3FIfAT/2mS/c8Z8++ZmvzXU7HTxP4ikIsySKkgI/hUBb6low1IK+9Bn5Hie7Aafva3LfEwM+eVWPt796wOtuXmN2KiCOA6IkIE6yA5c4VyDVilRnCRtdAtzYjLlNaUcJYbOgMsuGeobA14RBQj2MadWHaIZ8/WHJn9w2zZNHphBJyPkzlm3TlvlpxabZgK3zku2bEs7b2uXEYo/f/XyTNKqzc6dguuXRbkK7kSD8mO6wyXTLIoTAWkhSyWyoSE1KLwnoDTSrXcWpxTpXXNjiZ//OGu/905Bji008lWQXhkea1hjFkq1zIddf1OXqC/s8dewUf/bNOrc+NM3pTp1mqGgF0PQtgWfxFXjSpfNdnqG8GcAad9FpI9AWUi2cf64FsXZJoqEWDDUMU0uaJpgkZq425PWvXuMdr+7y0qtSpuseSdpgrRtm58cnTjzSVBGnHmkqiRMvS6w5x2w4WOPo/q9v9jz+05adN6ej3ok/0kzRbH3nsp7fUYAPBkO2bGq+5c67H/idL3zpa+1Bv0MtVAhyFrGojDk9CZ6GQGdAV47RBypkpH3ORXX+8v4mdzw14Mav9flH39/j8vN6bJ5WtJsecewYIk1LkOsc4EZirMRmGVFbBJSulkUp6zKhXkoYpPgqpjtMWOwm/NdP1zhyboaH905jTcBcXbB53jI/JZhrK+amfbbMSbbOpezYNGBuepWvPGJ46Olprt4pmGlJWg1Ju2Fo1mOEHxGGHp5yf99a0FoyjDyGo4TUCHpDQ69vWen6nF1u8+JL+7zoijU+/rUa9RWFJxMHSOuR6oA4cT2e89M1Xrinzwsv6vPAy09zbFHyx7dOc26twcnlkEBJmr4gyGWYdIFnQeS5VMExeWoFiYHUCCINoxRiY0GnkCZIFbF9ZsjVu935uOFyTbvukaZNOn1HPmnqOWDrHNiKJJHOnsxIKE1d5hgrWVvr8/hD35y7cFD7nfMuvH41iYef+05i8jsG8Kf3PsOO7VvVBz/8sYuefHp/Oxl1mG55WWDnAholBUpblHas4mtBoi2BgSSFmrY0lGCkJQPPAX05rnPrQ22+9fSIZhjx99/QYddcyu7tQ158ZQ9PKFoND0QGcKOwxtVKl4kjlyEV0qKE88wtKciUp45IHtzn8YX7Wzx1vEWcNmh5ik11y2zTMtOwzgdve8xOecxNC7bOpmzfNGTbplXueDLiA1/YzLZpj01taDcV7aag1UiphxHf2q8YxR5+04HKWkGcSmqe4tpLhtz3xLQrfBpq1ro+S2shC0sz/OwbFzi5tMx9j27Cl4BIMJAByCeKJf2hx0yrxnS7yYsuGfDyqwf88CsX2XfC8MX7a9y/r87+w01S4RFFikGiUEIihJgIPLOcgDWkxmKNwReaqSCmRsKLrutzwbYRO+cT3vm6iHogadV9orhBp+c0dpp6JaDTXDpmpRCpLGRkmstHLbLVNSRaGzCI724vLZ696CWveoc6feKg3r7ror85AN/79NPs2Dof3H//Az8h0P+5u7ZCq+E7dtCuMjB3MVIpSBWFhedp8LUgVZZAQ6ihri1NLRhpGPk+I+0z0HV6Pc1/+vgMNk3YsmnEFeeNmJtKefurhpy3OSZJRKa3JVSYm0x/SmkQUvCp2+s8fqiJ8DyOnW5waqFBra6YCgXTTUu7ZmjXoFUXTDUU7ZZipuUxNw3z0ylb5kbs2NxF2zU+dVebYb/JxTst7Yai1ZC06oZWLcX3Y75yX41oIPE3g8zAlKSSZl3x+huH3PmIoR9J+kNNd+Cx1vM4u9zg8gtavP2lXR5+qsGxlRZKGiDJ9LJPop2bNIol/ZFHpx/Qqjdo1iMu3znipktHnDjX4eiZNTxf89hhj09+s4FQyoFbyPGTaA1gsNaSxprdW1Le8aoh823NpbstW+ZApz5R3CJNXTdQmngk2rF1DupUSxKtHJjT3HPPAK6FA/hYjCRIU8VocYX2rP7PTz3x0GBu6wV/sH//vviSSy77mwHwM2dOsra6dMnxEyff//ijD8tGTTlQa5uBW2TPwSsCGYHOEjBpVhjkGxfchBpSY2lkDB8bQaQlkZHExicxsNhv883HDRbNZ+93IxuwJrvnWbzMIhMiq3WRSKVIEw9pPHxP0grhgk2Wpm9ohIZGCI1Q0KxLWnVFu+Ex1ZLMtGFuKmXTTMT2TT00q/zXv6hx9xOb2TMHM42MvRuSVj2lUY9pNobU6w1CJVEy0+A4OZAkPqOhYBhpepGiPzL0hsa1zDUDTi5M8ZIrIt7zAwv81ic9jq+FCGGwNsFom2lcyShyZaytoUezFtCo12iEDWphQqsec/3FMYGfcMPFKe989QBPpVkSyBTlECXI3QpjjEQISegrIGAUeSyveFndTh7zODDrNI9/nATRuaOVPzeiAHaavdY68+FNjgFBqi333veQvGqo3r9lbXhXFI+e/E5g8/8xwO++/TNMT8n6kSMH3nb08CHRbvnOh05NwdJjYNcuyPRU9p4WpCbzrHO7KtOBaf6eKX8vte5nsZGkVqKNR2JCdGZ7VW9FllKAJ4TLVCqo1S01z1JTmtCH0INaYKmHgnogadQljZrnAN4UTLcMs+2UuemIzbN9tm9e5gNfMHzs1i3smlbMtwztpqLVUDQb0KhrWvWEM8uGQ2dCaoErOYC80k8wij0u2GrYOj+iOwoYjmzG4pK1nkerXqPVmOadrz7H4TNn+eDnduBJD4tBG01qrHOUYsUwdkVRg5qkMfKohz71UNPpuRgj8DW+p/F9jSddo4SULp0vsrsrXRGAyEAu6JisytJkcU0W32jjYp08qE+1JDUuuC9Y24jsZ2KMuVOd+++iQnJZOcUI7nvgEbF7d/dtO3ftPvTRP/nk8J0/8vbnF+C1mhesrS3+Yr+78ItKjGSzIYljUImYyCRmgFYWLwOxA62TKSZj71zO6Ip1pStWlnNHMsljwViRPeYnqLy5TJ4LrDxpXGCrnLPgK4HvWecbe4JaKKkFknqoqNcUrbqk1bBMNTXTrZTZdsT8zIDztixz//6Ij9++nZlayJaWod0QDtx1SbNmaNZSWo2I+5+Bx/Y1uGiTzXRvmTYfRoobLrVcfN6QB56cLuqr+0MvA7lPo1anXpvmB1+2wmP7z3Hf3q1gFcZoVw6bWtLEFvUkw8ijMbLUa4paYAgDnzDQhJ5xCTPPlRgrZdwWLNK5WmT1PzktlMG5KyE2uSNlcmkhM+kpilLjkpE3eF5xZgr2zoCdZp57kroSgMGwL604/W/8sB60Wq1fA+LnDeDD0Ugm0fBX77rtY/+0s3o6CP0Aa53WlNJlFpW2eKnT2K4WxI6DPZMv7uBlciYDuCnAnVtZFpNl4vJkhbW2MgdlfMXNU9V5QsetHMIBvCjactm/MFDUQkU9FDTqglbd0m5oppop062Iuakh2zetct8zQ371D7dw/OQ0F84bphvQriuadUWzBs2apl5LCPwRnZFFSYWvLFKWnywHRpIGtOsJg9QwiMiaqzW9gaRTVzR6IbWwxflbE/7dT3T4lY9I7t27BYvCWIPWhlSnxKkhThSjWDEMJfVIUQskYWAJA0XoGXzf+f2esg7gygFcZTLFFbmN30wWxxgrsCYHeqmd8zyDY3QKXa01YwAvGZsi+ZbqiueeGuLUkCSGVMPR46eCRrP1L/7hz73BHw4G/7reaPy10/l/bYBbvYK1/V87fejr/3jYOVILQ4lIjOulzNhKSUhSgZYClcmMKsAdK5d3VxBkC1AXLG3AGosuDjgZyxRyu8I/eQo+DyydRHH15M4uy2vJfU8SBpLAV9RCN5KhHlqaNUOroWk3EqZaMbPtIds3rXHfvgG/8gfzPHN8lt2zzmFp1SXNhnTsXbc0appGLSHRMR/9WgupFL509mjB4FZkutXn7712la8+FNOLQwYZwPtDRa+v6IQetSAk9Ntcuivl3//UMr/8B4J7ntyCsRJtXFo9SV2hWRQbopordw1DQc0XhIHLbAaeLTK2njJI5bxxKaxrlMgBXqY8M5BnTospwW4KgFNMHciBrCvvp7p87Zi7CnBLagw6qxlKUlMUyVkkT+w9Uvvop2//Jz/wd18jTi92f2n7pr/e9Ky/NsBXFg+CtS/qnrunHvojUh3iEsEGcGnpJHWZtFSD0gKtSoCb6mPB2Nlr6wDtmDt/FK6OogruDT5XDvC8BkMV9eQiqyPP604kvi9d/UYgqIVu5kkj1DTrDtztZsx0e8im6Q737xvwqx+e5alj8+ycEcw1K9Kk5tGsufqVei2lHsb4fsSp5Rl8JVDSZLZcGWRqLUlTxbYZlzzpJjWGkXVNBCNNbySpDxS1wCfwa/jeFJftTPn3P7nIv/x9uO/pzWgjHcC1JUl1xuSGKDTUYskoUIUE833wPbJWP1nkImTujWePVYznOLe5bDF5+W1OPA68eVxRrLbFKlwC2lTiLG0sRpcxWl4YF6cmkyuw1o/5y68+WL/ikgteJKXkr3v7awH89OFPUg/WGt+661uBjSOkkHjKYDzXR+navoRbAtMcXJmezoBeADsDeQHkqgzJnxegts8JbihT0nmVoGtzE1nauqwnd/IEaj6EgaFes9RDp58b9YR2I2a6OWR+psNDB0b88odmeOLYJrZPKzY1DVN1QasmadQUjbqgXnMXh0v1x9y3V9AfBdQU2UXmVrW8CUEbQZJ6NGuKF1/Z4/6n2gwSJ1OGkWYwVPRCRRgoAj/I9PM0l+8y/Ma7zvELvwf37N1MYiSJMRlAyh7MKJCEgXHsndWm+NnF7e5kMqWUcTLL8m4EcipxTn4OqkDPV9pxSUlR61Ks1rqyautqxWdW7JXJFikEZrTGn3/yc8Fr3/jGxn//yBcHP//j//NFWf/TAH/osaOcHOyeXlz6498Nvc7LekOLsTIrWnLVegKTAczdlc6mQxmBUWW5pjZgvKyDPruybc7aFUDnVYCF1sY9qcoShCsocuMlRFFkpAqAg8oqBn0PAh/XCRRkBVahpp7Ji1Y9Yqo1ZKbV5dGDEb/8oRkeO7qZrdMemxqGqTo0a4JmXdGoKxoFe2tqYUqrMeKOxwLWOjVmZso0eQ4Wk+nTRCs2zyle/YI+dzxoXBdNbCogl9R8Sc338L0Az6sjpeHyXZZff9c5fuH3LPc8s5nEeCRZBWCSMWGcGMJEFtWFgSfxvKwISwqUlx8bis+XX4S5VBF5VRplQignl5zRc/IxY4Cnshrbgr2L9wqAl/kQXTy6fy8lpKlmYXn0ssUzR3//3T/59p971w8cW/Mbu//XAnzQXUCplV94eu/ZH2qpNeq1IDs4TuO5qmOBkI4xlXTJHaMEXvaltBFoLz8Q5ZJWBDWmAu5nY+4M6XlGrtDeMq+gK3V3XjHoKVx9hmfxfddYXAsMtUBTr6U0agnNWkSrMWJ2qsPD+yN+8ffmefTwFjZP+2xuaKYaNgN3xt41ST107F8LUxphTGoienGIUBI/Z/BCg2ea1WQZvsSnGYxcuUBcYyYH+UgzCByDh4HE9zx8L9+A1nLV+Zb3/twC//x/GO7Zt4XEeERaEGuTsbiglhhC3xL4rnfVy+IOT7kSYSVldnyyrvz8sVKYVVyY1VjHMhEL2eKcmeK1k5pG5ytybhpkIM4qGdMcExlza1PavUoK+t1lhmtHf+jooUcPRXHyL/+XMnhn9QTt6e27v/6lj1wt02WMqGONG8aDHNe/SkMqjau11nmAKdCqEjxqsqg8X7ZLlsjBPllPUlrdtmTtalBZ6eP0ZFYxKF0TgK8csAPPFtWDNV9nujmhXouYaQ+Yava4b2/KL31gnkcOb2HTlMemumaqZmll4K7XnJ2Yg7seampBSrsZs/eo5faHmwRS4iuTBXHlop8v34lWpMbjFdcnXHRhn0PH62xqkPU6uh7IwShjYU/heb5r4ZPOu75yN/zGzyzxL3/PcNdTmxgldSItiVNLI6vhDn0cyL189TJFb6tUuljhlBQVgIsKyCvL5DqQ2xLgY2DPyanMYFdLNorMdiFXKgFoEYO5cxn6iiefPoNUD179np//6d2HDp88tufCnd95gPc7pwlqU+efPX7Pf2kGC2+Zbq5lwYoZ83elcZ3dUrrnWjsXRatch4nsCwuMV+q2SVBXg8l1DOK4JWPwCXALi1S5LVgOCPIz5g481yEU+oYwSKkFKbUwplGLmJ0asNobcOeT8Bt/spXHD84zn4F7um5p1QXNmii8cue8GMfegQN4PYyItWY0rFFT7iKTQoxV8uWJFBdoek7Le5Ebu5CICsANQaAJfA/fl3hKoaRfABwB11wg+I2fW+U//WnKPfvmON1pM2pKprWllVpq2cSB0LeZ9587KbZg71yq5AAvPm/2octW8PL42+yklCurLSSLqQK/0OQZg1dYvRqI5jJGV859ft6Pne5Ray2/5SvfuEe/4pYX/JPDx04fvXD39u8swOPBQXTcuGm49sTb7OhJZtr1opgp15XGCFTuZ8ssA6aqvmk18s7fyw+MS+CMab11rD2uCvOT4JqUc/a2lWblfDiQzbrwTTZmQhfgDoMM3LN9FleH/PpHG3zu3k0s9WfYNCXZVMvAXXO6u5EFlvVQ0ghtxuBOe9fCGIi57dGA1SRgLmSsHhsxvkJp7Zof2qHHq64bcN8zMb0kZCoxRFnHehC5WvXAcwD3lEVJHyFdggYLl+2S/NY/6vLF+4b82oe3cHJphuG0x3QgaKWGRgph4kYvB8oNNPLzQFOKIgjOH6uBevXCFKLoFRmTKnmnkK2yePE9bUWb27FgtMh1bBCg5mQXAcYq7rj/ANNzW95WbzQ/2u0Nj35HGVynPaRqXtxbvPX/sKP7aLc0qY7RWk74onlaVxRMrU02obVo9hWVyFtUkjYVSYLILKlJgNuSUbJHKUzhdztP10kSZ4M5YHvKgdv3NIGvCfyUWpAQBgmt+hDPG3DHY5rf/1KbL9y9mdi02dwWzNecLHEWYO6Tq+wuMuausneC50V86+lpBrHHtobNMoaTDJ5f6K6MtOYrXnT5kNQ4gA8TwSh3Q2I3cs33cotTZUB02UcHNsH8tOCHXtmnFZ7mw18acufTc5xN6gxqknZqaXrWgdzL4hBls7jEZiDPiEGILI6ptLuJUn5WzsSYZCkAXiWoHNAVVi4lCwVbmzEmFwXgjQWdJZYG2ufT39zL5Vdf+n/8/bfe8shKd3Bgtv3tR8J9W4Db6DCm90fgzW730r0vr/snEfWprKVJlbUJ2ZJrjFkH8iIZkAHcZh+6lCLu5xSPVUkynl9z4LZjskQIW/i5uSxR2eSrnLl95WoxQj8hCBJqfkyjMSIIBvzJrR6/+UebObQ4ix/W2NoSzIaadmhphtDMOuzroct21rKEkKtf0dlK4OTJUlfTjwMCpQikLQLM/GtYyvICl7KWxKlP3R+xdXrI2qDFMBHZWAYXK/i+zmw+ldmdygF8LHB1lY9veWmfG65Y5Df+eMTHvrKJlbTJIPRp+pK252pwQg8CRdEM4eVJn2zlk4VUKRNAmY2fC8MC3QWTTzB6VWIWsqUA7bjjUnjouUbP4rK0Ups+0B4rJ1f50u0Pv7zTXd1+dnHtwANPnOTGq59bj39bgGutEfUfPD8Z3v8BPXyYWpgg5ZA4CUiUV1SSaS0xUqKtxGhTMrc1JXNnrG1z9q4EkNXneT3E5E1UGFzIfMQExZgJVTC4qTC3zkCeEnhOkoRBROgPObqQ8sEvNvnMXXMcXpih3fCZrcFMqGmFNku95+CWGbhlkRSqZdo7DNyF025GfPpbHgeO1all4+WKdjFKlNvKCqa1JEk9LtsNb7qhx+9/eY5+w6OdjWgI4yxuUAbPk879UFRA7lfYyK0K581LfulHB1x9wUl+7wuzHD47xUpaZ+B7NJWgkQE9kNZdOJnLpCokkQfrQrjSi1yuuK9QadyeALmdkJlmg0dTZWpb0eA2K7zLOotiA5ER9LVglBqMNXzlrn18zy3XfuBnf/Albzi71Pm2UuU5Ad4fxqiaz/2P3LXz7KlH9mz2F7n6IjdGTUqNUq7Y3dMmK7qRaK0w0jG5zkovq+B2AGddx407KOPArs5KKQ6oKIFdzFCRJbCda5Kzt8b3Ute546WEYUTgRfR0zPs/EfDhL27l1PI0RtWZnVLMBpapwNDImLtRpO9lVqeSSZPMOy/AHbjsZZTEHDgZ0o9DZsLMxcmTTrkrUVmhipqUxKPd9LhgZ4wKR/TiFsNAUE/cvL8gk1d+JlG83PUoxt2Vx8sFr4pNUwN+9i0D3vaKs3z4i10++Kk5loZNhl6NmqdoeIK6soSpdWwusypPWZY35KviOiavnIv8gi3OWQXc64FeFsZVJUqRzs8qRRMDsRGMDAy1INEa0hE1hmyfWkDGd++J+mbnTde8/Ki1I4So/fUAfuzkAvMzrU3nVlufeOcvH/U3T+3k779+mb/3uhHb5zWDoUUKQyo9pMzkijQZqGUGcAfysssm19umkCVVcK8v+clDy7KfMge2EFXdnVXJKZ0xuBs7EfgJtSAm8GM6o5hvPS75k1vbfOquOUa6RRAEzAWC6cDQDCyN0NIISnDXQkkYSsJMmrjEUOZMZAAPfJf5PHLGcudDDeLEJ2zadQFmfivT3O7YxInC9z1efUOPj3+9zzMnmwxrbt5L5FuCFPzE4McGpXKCEUghy+E+lADSxpWvNkKPLdND/vkPDrj8vIiP3driwb1TLA6bjFSA73vUPEFdQigzGzW3V2WWjRZVPT5elFWAfcLhKrKd2ZtjLA6FDZhLEW2zftBcklgYacHIWIxOIBpx/uYO73z9Kj/22pits9/0a5tf+Yl4tPYCqzuLf20Gv2jXrHzg0f03ff6Lt09NhR4nlrbwbz/sI+UZ/tkPDQgDASKfoqTQ2kNLWbK2HX8sQJw3A1fAXei4SYBb3N/APYoipWyKck83AcviKe0ArnQhRzwvodNPuPtJwR9+uc2tD0+x0mkh6zVadcW0b2kHhoZvaQSWekDG2o6566GkFihqgaAWkFXomQzchtB3+lt5EftPwqlOzSVWMn07njgpCDzrg8xKTo0kjj22tAUX7xryxPGUQeK7MQ0JBDHZdC+dSZQ8UQNyojOnCOCzmCjRrj78Ha8e8robV/nGIz0+8pU2D+5ts9xr0JEB/cAjUIJACkKJ6+GUFi/roc0vUiWyst9JgLP+lFFlcChXbirBZQZsbQSphdhAbAVR1gOATiCNkPT50det8is/MaTbm+bMuSn06l1TczvqN7VmLv0yzzE86DkBfubs2bBZ43+MOiebO9qGyCjORU2+el+Tt716wOU7IteCVQGcytk7m9hqMpmS1xdb42J/U4C6crWvY+4Kg4sc2LYMKqVBZd0pSmqU1AS5myETFnspdzzk8aW7W3zuzinOdZuIWg2/5dP2YMp3nTx1n0x2QD0Q2V1mJaeZ7g4EYc7eOcC9lCBIqQUx1ibc9nDIsTN15mcFvjTFPHMpJi5bS1F+qjNJMYx8dm8RvPq6AZ+5N6af+AwTQc23BKlj8SixlVVKFX41Qo7JFHcvz4PLmnrUw4h3vHLI99ywzGfv6vHFuxvc8XiLc50GQxEwDDw8X+EJgS8FvpT4wmZSyyIRmeSy499pEuiV8+kmalXkCWWgmQM7tZBYQWLzGe0GTAomgjjmil0D3nDTEJsGdLpNljstTi0tNa9q8z9G6ZnLgeH/NMB7Q00cRz/yyGNPTDf8iMB3EgMBTx8N2HtMccWuGN/LWdxDaZOxdXYvDnR50Es5IgoGz2VKebxsceCc7qsAW5isedggMoB7nibwEmq1hFGkeeYUHD2t+LOvTfHlB9ucW22CX8Nr+zSUpOVbWp6h7lvqPtR8B+6a72YSujJTWbmL7Oc2A7kpQB74rj3t0GnDE0dC8P1smbeVFP14WjBntqLMVAtS7cY5X3VBxBU7++w71WBYEzRSQZhYIkVm7ZmMvXM3JbcgS61S+Ox5c4JR2fQBn1HsU69H/PjrI9784jW++lCfP/96g6Ona+w71SBeC0lDj5HnIZV06Xyyv0dWepzLQ/IA2o6zeUWyjIO7DCzTHOTkdqLrB8VqsCmYxN1tzGW7Y67YrbHW1RglacCRkxHN+b3U6/Xn4uhnB3i32xFJkrzn4ccPTM/PeEy1RwxOJqBjzi3AA4+FvO6GiJYfg7Aoo9Ey72hXFYCLLKAsAY4VY45JfqWXjJBr7vzgZXfpAC6FY+wwdJNUU605uwxf+6bHoZN1br+/zqnVOodONyEMUQ2PmqdoepamZ5yL4LvB+TXfjWtzIM7vMrurDOBkmjsDt68Jfcfe7sKKObIIe4828OW4PVhIFMp68EKPFg0EzolKU58rdg+5ePOAJw+nDFKfViKIPAiymYCqAnApBULKMSYHxgK5QgZlbpfrnfSJ/IB2PebvvTbipVd3ObXa5bYHAg6fCPnqww1OL9fQQx8jPZJAgVRZsOyslcJZqT6ux3gpySaSQiYfEJlXbaEzcGtXw2E1pAlTtYQbro3YvDUlGY5oNlZY64esduusnHtm/kVv+tH/Y2311HunZ3ZsJAKeHeCPPvA1tDbUOMuu3Sk3XdPhR4bnuONhyVMHJRedp/EaAikNgYgx2gHbJX9kprNlBmqRDd8ZlybYZxFxRcSej1I2xV0pjR9qEm05fELwxGHF1+5v8OSRgKeP1OlGIVEcgh+g2j6hEjQUNDxDveIDh15ep5GXzbq68DCTJUGgCAKZXQC21N6+dplF3+n8WpBgTczCiiSyoZt+Ky1exWabrOvIQZ67THmPY5z6CDw2zcZINaKf+Aw84ZyOpCwY85QZy0BKUYFXHt8gisA+z1HkPZS+VsX4iUEUsHUm5rwtCddfGDGMh/z9Ix2ePBrwtftqPHGkxuHjIUnqYUOFlgqERBdfTlIVk+vPJRMpaVt5dJ38BcCNyQCevRdpUm04eFxx56MBTxwIuO2hBsurAXNhTKJXm37z/h9SUr33f4rBF49/ln5/oPbvPySu3jNkpj1i97aETTMp3/vSAQ8f9PjzL9e5d+8Ub7o54lXXxWAsfpBSb+TfQYIR6NQ5KDmg3VfLZ5aMp8acHeiY2vcsZHIkid0+mULA0ZOSP701ZJAoHn26xsETIUv9gEgH4AWgfFRbEUhBXUFDWWoKN85MZYVHyrF24AuX9KiC25cEmSwJAwgDMtfEpcx9zxD4aZYRTajXYs6tar52T4tOL2RmSuBJU5QM5DiYvBXlpoUWl0SRYn5O8boXj/jqg0OOd5oMfelkigd+avGT3LPOPHapnV1IddaJLP6Gsd5YpllrSaAV2lOkviLRHkniOyvVT2gGCS+9KuVFl0e89eUj9p+QPLbXZxgrPva1BkfO+iAkg6GHjlXRNmU9ymxQ9bwWAJ/IBmUAF6lFGIPNXtcbGr+mEVhe9dKI7705QgO/+t+meORAnZV0lplWg0vmDJ3+iF68X1x0+VXq/X90a/ruH3vtXw3gQlharfr7d206dU3SXqUWpPhehMUyP215fJ/PH3++QRIpPvvNBptmnX667pKEd7xmlLWkwaYpw7VXJTRrTme5YoyyUGryUs+H83QGgsce91nuSuo1uH+vz+fvqjFKFKNEceZsgBEeifUxwgfPQ4QenpQESlCTlloG7FBZQmVdDbiXeb5eydxB3pdZgFtlPZqiYO/ANwRBXqClC/YOggSlYr75iOIz97ZQgefstjH9/ewMXnTC6NzxUIxGPm++ecjnvtXlY7dN0U9rNDMd7uc6PMkzjrboFhJCFgBzf0pWtH4F4Cbrgvcck/ueIvU8vFQ7oCuNUm6Q/kwt5eZLU158aYIVEW9/5YBR4sa5/eVdIQ/sDaiHgqWu4rEnA7oDmamkScGSAbvC4tZCs2a49tqE+Wnt6sW15R2vGXLtJQnWwqYZzfy8IY4kzxzx+PqDLWgaBtpyoqtYHmjW0sE1V13fer+x/OxficH3HVvlDNPtmehDl85Pn1HYAUoaQj9C25jb7gv45NebDKIAPMHCms/Cmrs69x+zfP62lvse2jI1o7npmoRW3X34Z+/DoUCAlIK1vuLBJwK6HYn0FJGRRNZzzCQ83FxgD6SHlBJfCgdmaQmlIZAOCIGCQJUz+hzIyzHJbo8fWTQeV8HtGD4rq/VzBteVe0roJVgbc2opII5qhFOSIEt7q6wqbyyLmXf0UKbXS5C7qVxx4jPTUuyajwnEiGEaMkwFdc8NwcxrSPKElpLV8lZZ/C33NzIny5jKEHyTlS5Xxj+kOssbqGxzr5Qk1agkG2GtNFKm7Jw32YphuPy8EbEdID1LpyN48AmPtYFrfBlv7lx/1gWufLZZgxddEzM1Y7Cp+0lDgVexVEkEzcDw9lcPeOhAwIN7JcOR5EwSIi2kdqgG8cql//xd72j/wx9b6Aqx5bkBvnBuBU913/uBTx995Z65Zd788hjPszx8QPKntzb5+G0tekMfQpXpr9KHTbF08jMoLd01OPPNCWCP5eCr1CYKBrJCYPItF8hqToUEobKgSqKESzE7UGdpZ0m2cWvuG1cevayTXpFtvUcBbtfW5Ybrh4Eg8ChKTB2DZyzuGYIsO+r7CWGYcGLJ8MdfbYIX4EtRBpiFPNmgtrriEedDQvMssNYO5O983ZDP3jHk6YUWfe3TSN2mtK4K0JadOCq3aMtgr5AKRQwnKwVe+d0UtTCep/C1yx+4enGVJc5c0szVjWfPRR4PaTxhENYw3zB870uMG76UyUz3KCrPWR9zWQFaYVNVzGTRKejKxSGwiNRw8xWaz/z6Ih//xpCP3Trg0OEavgeve3GXV1wmXqmTG99rTPLz357BH/8ivieC2+4d8L5D2/iLO/oEnmHfMZ8jJwMHbKVAqIkAY/LmvHftT4K6Au7qyagAnGK5lQjpuvQlrrTTFxBISyCcFPAkzqtVZDUV2fO8kMijMgclZ+2yq74EuCxkSxjYoqUtCExlcE6Kn7F34CVIGXPsrGCxW0N4HqFkTJ7IylfKv3F+uVcrKKv62A2t9JlrR+zeOmTf2Yih9hhpCLXA1xY/zXR4mqfTTdlLKdQYaZTZRFlpQBAVaWTwtEErifJcE7MnVVasppHKZCuFu+fWrPubNpuQZZBxPinLlmn9Yrs8u7FgqRbU5TGZqJjoeducsCipafian37LkNfeELH/mCLw4OYrNQtrC3z2i18PpNDrULYO4O36I/geKF9jaPCNhxsuGvIENHPwZcxdZd91t+eQI2NBSEU3FvXdIlvis82hBHjZXHFP2qLGI39evDcB8nxEhKfc5lKeV85DceCW7jHIgZ4Hnxm48+4fzxQSxfecPg2ChJSEL36rzsJiHX9KEVRrOKoOyuQRGqu0ExNBoGIUuQm2b7ylz7ceH9FNaww8j3pqiLN0erUgKi84E8JQdg7lgWZZzOasw2ymiqWo1feMIFUCT8ti/1FPGdIM6GUyzRQJNpmDXJZOV+56lSn9SYDbZ+VDl82uNlhU/q2w6Cw+IzbsnDXs3mLBCJLUZ2G1w1fvfQJPrU9ojgH8tz/yNfqq8ZLP3vqVGw6ePZPJkOonynv0ROX5XwnG4+9XTrqr6S4flQBFZrPlrzPbLX/uHvPSWDKQV8YyV4BdzEFRjO3SNgbwPODMdbeXyxKb6e3xWvLATwj8mLMdw8MH6+AFeJk88SoFSvn3EhMIdy5SWXWXj8Uoso5akSQ+110UMTc9pLPaYJAqGgr81H0XN6XXopIqwHEgL/6QLOvr89IIY8sSCuUqPX0j0EqilUErQapkZkWWxWt5OUQObKVsweLFYNNKQq5M/kw+jhOgqByTEjd2Ai+2+PcClw9gmF0DAnbMprznrfqGCy5660v+r3d/z90z29+6McCjKEHQ/96Fpdq1w6FiKvTKwS+VZSP/EBvFyvlHrwJ3EvQ5wGXltWIcGPnItfyeA1tKCo85f88rWtRKYCvpZIkquldKYOfNt469M83tUejt3BJ0jF2C2y+qExMECV+4K+RbT7aQoUcghZu/XVQQVuvVq3XU5TEqShkqRWnauAGXw5HPi68c8qaX9vjgF1rEOqSvJTVtidLKRS0qMkXKjMWrf+rZmByMJ4uBSzm4ddaGmCqBJ2U2WqIEt5Mn2S54WclEWfw2/px1UmW8MrQ4IuK5VvuJ37Hlu/nFK2zCpin/2iTuf6+18d3Vf1sA/ODhk8xON1/3+x//xo/2VxbY1gSEKWoH7ATQvw15r9tNoJAglcOenwiX8h1P/5blsOXotSqjuy1IKNjcyzvolXs+xuJZN4yvxsHtxilMMHfWsxlk7W2+lzccpJV7QkzCn9/WRtsQVWQvqwFm2deYOxtjGjxn8bxdL5/3p/Ng00Pg845XDfjoFyPWTMJQ1xhqtztGzuJSWmQqiqIzZxdOLtWyYk1WS1YF2ss64FUGcs+ijJMrWhm3SkiZgVsWpclS52xeArpYReRzsPgEeP6qAM+PXUkOVZcooDvqMq1GP7r5vO+9vd85+dXm1M5xgI/ihP4wvqjf7+9Jhl2m64HzJi1jjaD220G7GiDkAYOoeC1VeVKRJqICcFFhwYLBRZk4kaJk7HzmoGtTE4UWz0cjjA27yYDtKVE6KYUd6DruXWOyzZi7DDC9CnuHfszDByUHTtewykdJSSBNJqOqK0/5ZdfVaoxp8GoLnygclST12bM94YoL+9y7v06iAoapoCbBz2Y+KpE3eghkmulwpJtNM/YnRYXFRUUaVbtqXI+spwxaOaArYTOZIiv6O/+bcqybSmQFZiW4bREo5rq8SnblJ8t/9tzYKoE9MRjUSOI4ojYz3GPM6CJj4q+uY/Bz51YZDkZEwyH1wJ34VFU6n4t6bbuuw33s81YutbEpSVU9Wnyp8j1ZAXQO+nxuXnUURC5TlBCuez4He9bpUjC5LMe0ldt/Z8xdGf7juu0pgF1kKwvm1gSeS+y4rqAES8Inb2uwvFxHhJ7z3Ssry7oalIljU9XeVVYd86aNIkk85mclP/DqHg8fbBPpGgMVUNdOi+flrEqSgTtfK0zmieflTtmaOaHHXRNwfoFVRq0ZiTJuCrCrELWVxJIsmbsyoVbmPnylGaVavw858ClATwUPk5Q9dnFOyJK8xknnk22NdPt4jiKG/WV0WhYXFgD/xKc+h1KSc4trzLXdAPsk22krH8ZSlSrVksixzza5/EwAvQrq9c/L+mlZsdrGn5fTmOQEe1cnyDoWlyhvHOCBlw0A8vOtA7MMp2fxi1S8yZ7rsbunXOfO08fgE7e2iGSAkirLXo5fiJMZzA1tMiosXnFTTMbgqfYItccPvHbEH355wOOH6yTKZyAlgTaZeySQ2laOmUVIUQRm7mayvzXeRVVl8nxzgnzSgactOisJUNoWwzqLRghZMnfO6nkDSrUxogrydQCfPDZiY31QrTjNu5by4+W2jlREsU/v0FGOn/yMK7etAvzMmbNs3bql8b7/9nsXDHurjOqSUQIicR8s1ZUZ3BWAP9utCHLsuItQsNlGgBbjoBgPOF2nt6qAKAezrDB2IVMqcwhVzuBZkmcM3Hn63s8bk022XXgO7rynM83uCcqPOXDKoxcHoLxMntiJ8tj1F++Yi2LHl9rxJEw2TN6UWrzpCy7dMeLxAzHahAxNQE27mm0v0+BKuMmsLrGUA8UNQq2C3LGgLFYNa8ArBpu695QBLR3gVbY7hTTlhAA1Bu4S8GPdVrJ6fjdg8Gdl841vOYsX7J03dKSSKFb0hpJRIpjfsvmCt3zfTzYWFn5ysGXLNgfw1dUFolHntZfs2fILRw/tZVBXLtNlbCahbQXgZfLg2STTeEBZ2kPVHb4KaYI7B9UlvQrqMQbPpYmsMnk2pi2vkVYVUBfPsySPIvPCHbgdgMuhQH5VnlTZW2V9nUHMSs/w3/6ixfKwhgh9J0+kHVtVysE5z60qi8DdZGMyqm5KlrpPU492w+Pd39fjGw+3WY4CYukxlJIg66HMRz4UdmFW10NmG+ZltBaTgduNuR53VkTG4PkOHBRgV1JkDO4kkZ4EeM7e0iIpu64oJOd6VmcCC8/G3s92vIqh+9rt/zOMFKfOJUxvmf2FvfueuXs0Gn22YHBGD2OMT00cJwxjUu3swZxJkS7QlZkG30ieTLok1edjbFZh8Lwup8p6OTiqm5e6oLIEdvW1O/jl+DFVAbUnJV4mSbwC4LnmNkVQ6XumALfv5fUX4+ztq4QgiPmz23yeOlQH6SOlJJSlZz9pbeZf+lmrCStsXuxUUZEpqXEtZ2nqc9WeAW95aZc//HIN44UMZUAoRZH0UVKQiHwE8nomF1UmH+uDLWtijAJl3apgrHDgzi1Yg5vzXmXxzDEpvres6u/MTaEiW3IgV0A/mdgZc94mVr1y9csVhZNcUjjC6vT63PXQAQ6d0SSJ2xjCA0gYUfMtRxYH3LN3hLKNbFJsqYdF5YRULZsC3GNX44QcWQdu4a707M3cMiy1a2Z75dKkYG3cUM/nBLgsAa4qNdReVpfiU0gRX5VuiV8ZDlRqbsfevuemVq12DH/5zRZLnRBqmXsicnvw2SUKYqJ+csOTlY9SEGVHlM7dFI+ZtuLvvHLA5741YrkfEiuPoZaZPSky90aUdqusACcDtrVl148p2Lxcmb3cWVHZc5m9ljg9LkqQa5nr8Pxc5dqf8nWxklVBLSbYPLsgM6AUkwcqeMkJVWDHk1YZPn3PsHk24pZrl1kYzZN4KXWbAfypp/ezeX72/K/fee97/uwLj7Gw7DPfNmPuhq38keoftxuBewzMYh3gS50t1r0uEiQSJOUwyCpz5yORq7O/qx0ubl4i4+DOdzbImVtVmHsdg+fjJsqRE55ymcsjRwX7j9UwhAjpFc25ZfXg+ESosU4XUcKtmk8oM43jOyfkjooxLtjEely2O2bPthHL++pYHTgW106meBUXpwRQtdArbzCQxWdwukhUgk8wspz1PRbbZECX0unzam4iPy+FBpdiPNgsVpOKdBsLQsUGKsBugDNBodgroJcKQl+zaSZgq1lhdvvUe3bufsOj73jjwaOetYYojrZKK16X9ntsm/GK5XOchSbZWoy/riwpG8mRMfBPyJEq0PPRx2PjfAsWHwd28ajIRgFXffDqPdvSWlXBXQF5tl+9n5WG5uytsteel6BUwhfvbXFgqQ5BKU/8inVZ/W55LPFcwnJ8yGjZp5pPBqtq8Tj2uHA+5o0vHvDA0w0wPql2WtzX2ZBPPS6VCnAVEMltQ5mNWhNlsJk/l9lzma0qMr+7AarS2AL0Wlbko7FFzCRMfm4t5UwYO3axlXMP7TqsVBl9Q4VQWZny75doydLaFJ2eprVJvS6OR1uT1Bz1fM+5EI2aYKoJ3ZG7esuJRjA2hPE5dFLxBeyERVaAeDz4Gvu/CyagOCg52Cd3ayh0uMpdlMow9xzUElS+V7sq96cZA7ZXDggqRrx5JgN56uSJSqg3Yu59RvHZbzYZjgJoeHhS4ItxaTIZYI57/xsAnAn9PWEZVn3xJPWYanm89RUjvvytAfc/E2CbPkMd4guKC01NyoJq2WoF5HYMKqa8wJRjcy2dHs8BrmUZcLrXtjg/xfOJ2CmXmrlMK7V49TNmRDnmqlTjloldJyakjsE6+ZxJvE5P0RtCrA1RYvG2zAyYnhJMT43oa0NnKGiFpT6qDo7cCLTjkqTK4OJZQM7Yl6zq7tIuLIGtss9QlSjFzhFKZHPAS3Dnj9Xhkp5XjlD2sk2YPDUOdL9ga3dXmXMSBDFJrPnyPQ2ePt4A30dIRSAoNpeqBpeiyuRscIzy5bVwpLKhlRVv19h8lowsPHGtPeLY4/LzUl5/S5/HjtaJ0gAtfYZGEWgmPkvuhTPB4O7Rjn0OQOUXm8EogcoTe1JglTMYculSxD4SpLUIk89occ/L81gZPJoH3rAByZVMzDp8ieJincSRzP5/m+m9djOhVh9wdmWIPZWSxAneH/3FHzHVlNz7VMQjxyS7pzMpPzFKt+oMrGfz8YtgkrnW6+2SpRFVzco4c2cNtYXGG5MmFaswZ+wC4BVwq/H54I6xbcHUXvFYPvez4NJTCWEQ8+QxwVe/1WAwDKDpI0VeOUjFHtwgi1mJNaqLbV6L4hAmxkYPr0v4VAqw4sSn1Yp5/c0Rn7tjxGOHQ/ACIiMZ6cxRMW7zgTKjCEKTuRfC1V1M2gTZ3/YUpXSRjs3zVSXX3FZmYDfliiWldfq8Yu0WIDel5p60T8UkljKQTxIjjL9fxIbSLYHSiuxi0tx4RZdHTn6Jb91/PzU/wfvdT1kQBp1INjd86n62YWoOogozFTM+WA/y9R90/GJ4tsByI9YutXhVoogiPS9Fmc2ssraSeTtX3uzg6ih8VWHuHNzZ3a/UPzt7MHX3rGsntZov3F3nzifrUPNAuoZmP0+TV0HNxL36YiOJUmHQwrYzZTOytvlckxLo0cjn5VcNeONLBjx1rEaa+lihGAoPX1N8JqErOnjs0lrP5NVxDkqVlqGxJnvtNjMwUjipkvv9OZtbkenunLUnYqh1bF3KEzmBEzYAv/PNRYW5s4C3kqwVWjCKPDq9aa7bNeLGC0+5JNZ1uwKkFAxHCZ1uXFpuImvcqQKwoi3LpI1Y98HK52KDq7VyFecHgEmAi5IdcqCrktnLNH3lrkpw57s6FHev3AQ1B7RfAXXunDjHxD0qlRD4CY8elXzithYQgPQRQuEXyR1bFFeVx6n83pX1bQJglDUpVR1uKhrcCox2rXtuCq0q0vfWerzjVUO+ds+IBw+5SQKJUQy0KOrmpSBL4YtivaioyOKzWGudPBkDOijG2VxKiarYmQXIK2xeEFNuL2tbSLYx9l7nqOTYsOsINAd3tbY+B7cVuc1qi1F1/aHizHIdIQMsFm/rnEJJSW+gQbslKf8D1YBvknU31uRiAuCTrO1+udDdiGLTqFK2VAA+prtLt2IM3CrfzSGvB8+q34oB+CW4x1i78pg31uZSRakU309JdMrt99d54mAdfB+kCy4DYSuTY6ur3MSxGgPUOLRs5UlROlupERmrLtQSozJHRXtEsc+Ve0a8/CbH4kPtWDwSASMDns4DuqxOhVKPl72S7gNUC+fGkykgVeW5NU6qWEd+1jog5ywuCslCweZSCLKkZZm+nyS5AvAbrfzVYLIiTzLLUgjn3kgJWgjiBOJUMUoCjA0RwuCZ4mi7dLax5RVEfkWOsXZ2sMbAXlo+5VIiCqBXNXaR6KmyfKHfKvKkAPl4/Um1qrAAds7aMp/8VNXfFXBXhuIX7knVDszliXJVgwfOCD7y5RZR4kPDz+QJRWtaXsI7ZoEVF/2EZlmnT8aBXpUpprqrsN1Ii3s0Q8mPvX7AF+5s8swpd/Fpoxho5aoMtSjmCSIsQmc6Vo+vJDYHeoXBlc3kinUBprVkQHKrqZUO6G4/JgdimQGvWiwn3J/OavxFRY9XZcoE4MfUgBg7tlWilKaS0DKl65LX43hZTkv9xm/85y3GyP/4zMGjlzl2HfeYy2BOVCSCLDSxGvvZhD9dOB2ydD6krPxMVsYByzITWXVFFFS3AlTZyAQ/19p5QOnZMccknwBVBbevLJ6fZy3LYqqyoSHJHmO0jPnDzzf46FenIQxB1VDKo6EsdWWzcRQUDc5+pTWuzKRWE1GScjIsYwFq/l1lJSOaX7RCkjX+lr2QSlqENezaGnNqSfLQEwFpNnXAZE3HefnAGDAoScdm0mm85kJUrjpRsPl40/iEbp+QNgZRvle5T26/njtHY3MqJwr6JvMD5XTisuhqsj5cAIFnuOKqF2x9wXUv/rp39Njx6U6394YoiqmF/pgXXdXfArIKsarGXC9DmLwiq5qqkDuVbpdimS+TOpOlsqXPbMfkSb43p5SlJFEV7a2KPXpsAXRfrZck1UelEnwvYf9pyce/0cDNX3Hs7bR3CU4pKrJJVPIGFeKuMjtCVGTJBDhM9USVcwVd4JllNa3EaIVWmRbXHj/46gGfub3B3pM+yBgrJJH2GVCRCQKEzkCq88RPDtYKk9v1waeyVZlSuYv8uXNHjBFF4OmGmo3bg+MxyviFN64OqhKlZHlYj8VqOUDZOyBI05hBv/eGxbMnp70ojknSpJASqgjmxMSHqoJarFsy1tk6k4Hms4C6eD5hL002OshqxZ6o7ClTAXYeXOYgVzmDV2SJyp4rZVBeJk+8FCVTp71VilYpn7+7yd4DpfYWQrqEStFBw7oTOH7RV1hzQqWM82HZgEyF2cYTPq7z3eQgz1L4ceJx+UURb35Jn0MfD4m1AuGhhcdIiMxVsVnvayZRcuYeawAr2dv58gJliyiu+Iw5uJUFK2xZy5IBzFrhnhvG7EIjxMYArwDZVAE/dgxF5XfKrGeZLS1JUWV+PkCaJsRJjDeM3ZB1iy2W1hJc4q8A6MksZ0WXy4nfqQKbSuQtx4EyDnDLuHOS92PagsXXAXvsdRlQ5lq72OJEGrxsrng+ON/3Ew6fUfz3T7cZSQduhFfpms9WkEoF3fgJKwOl57qNb5NYeuHGVlP2VQ2ezU1REmUU2nik2ifUKT//tj5/cXuDQ6c9kAlIj8T4DIVA6Yp9V4mfGAM5JZBhvOPfChTuWJfSIndQjNPiwmIy9yR/LkxZLDcJ9PWaevy9ja3CjXBoi6BTZhlWcPmOWmho1g1ePZus6kYoZJp5gl3HU+yljqt6k1SAO5ZurbxfXG1jYB9/Ph5YVmZ/FBskkXV6kw25LFm8BLspwZ0BuQD1mN+dyRPpXvteTDc2fPBzbU6dC0E5eSKkLK3B/HOKih33LCeqbDf+NkAf05u2LJstrMN8cE/FE9du0qtOPXZsinjXW3r8xkcCOokbdWyFJDLK2Ya6YgJoQWkbToB8si9S2krnkasitAissJmjYp11mJ0jm9Wu5NLBCJeEMRue72dPDm4kYSbZXU7g0tXIABkhjGJFECu8Zl0xbCiaNTcnpPSfKxq6qn1yYFeXksp75YcaN+Y3WprkBo9VMJd7X1KwdjEuIrtLZYuif1UA244BOpcjhURROvvdNGNul7X0woRPfSHkA59sExnfyROhkEISCNY3FW+Qli9dgcqbzwJxW1EJpVVY1eeiYPRqdrNI4Ru3FXjNS/nZt/fZfyzgw593WhwUWkhGxvVuSp2TU7UAKz9ZtvI37Vgwp7LXMn80NstJVLR5Du4KoPNjZAumdavHOhavSNmNmLsqV6p4W48ll4RKNWAlvYFC+govH3xTDxV+ICdsGzH2B0RxQDZaTtb/7sZfZBzM4xdApaZ6TGtXZYotOr2lLPW3rMiSSXCXFmHVFkwrjy5rubIKf/GNBqtRDm4HcF9m4+HyFUTaDS7KTGdW8FzAuoLvqsNQZXAqddmlPMHN+Da22H+0qBOXTqoY45Fqj6lA87bXDPjM3Q2We8pJFaNI8BgUhJXJhrxar6q/J+VKBeQyswyxWUoeZ0FaWa44BaBtLkc2sAwZB3tJiqLoAJoE+0bsvaFWrzw3WjCKoZaC52qk3dB3P1Dl+cjlSHWWRXFVrd/i+dl108avyy9vS6DkB6PC4CpLEBRd3cJOWGolqMtAswJuZTIJUu7C5lX1eMbefiPlC9+scf8TdUyuvWXWcylyebJ+ONGGy6mYOCbPSuIZexbWWAmY8ebgks1dCl+ibOmLp9rHMykvuirmTTcO+OMvBqBiEBIrBLHxGApRzp/Z6OPkRf8A0g1iKgLPPPiErAjLgdPY7HhYJ1vyEtv83NqMqIzNQV0pnaUCcmwmY3JgVza7qgA5x131cI6bG+5Rp5YkhTQFz01UldRC15hbvabHnm3ASuWS/CxXWuXkjxdW2QmQl2Av6pmr8iRnc1UdX1CVKqbIXqpcc1flSb5xk9LZzzJpIp17EvoJh45LPvKFFmd7gdvvWrpB70pQ7tiwgawakyYVGbcRe6/DFCV7j3vH4zNMxjbQrdSJK5k/uu1PtjQ1P/6mPnc/EXJoQYJIAIVBEgm3147UZL0EZRq/esHlMskRuQOtqnrb0skQ9+gsQZs95uA2siJPbMnYTqJQvK4GvWMJxAqJlkTrcLPusG5wfJNsC/Q4sXhKuuREzTWJ/5W65ssPwfgVtRFbUwJ6ksGdFJnYbLQooq82teISHKLC3MquY/Fynp4Z09tVx8RTKUpqvMwWDIKESBt+98/a3Plw3fW2SY98VLNfaO/SoiyX+4n4onIMyoxmeXyq52J9BrOsMqw6KrkXXtaoyGzed77BrkJrt1epSj1efn3Mz7yjy6/+bkCUSpeBMpJU+AxxybmScNZXFtrKa1V0uNmifJYM5EUpbaG9nQ62MqvPzmTK+hhMFL2aY9ZgkXXNj5utMPbkRKwJVNv8U7rjmCSaNLVucm6Q7T9TrznAFNrvuYA+CerJ5wWLPxuwJ0sfbUWP2wnXpLqbMSWLi4o8yTJ968AtTSFHVJbMkZXXSqb4QcptD/p85s4GUexD3Su0tyfc/HGvorufqyR2LG4p7s8ypNSWh7Yon7VMgBusYpy9bblxlTQKZU02qMd14NcbKW97+ZBb7xzytQcVqASQICQpHoMxUOVg3oDJJ+tUhCUXsAVjY4sGC1sAP3td2KdOvpTOibsYYBwXVcCXBDpefDWBaPcsB3deCGYhjg1xakhSg9dqGExiaNXdzsOptu7AUg6GeQ4iLzTTGJtPaNJyOa/UD+SvJRvKErEO3NXZfxWpUsyvtuOypBjgrovnMmNuLwN34Ces9S1fuLvBM2dqTpoIVxJbsHcWBxS1J8XKsxE72QlAP4c+qZ6gPKFSlShFg61Yl/hxwaYpLEMpFFprpPRIIo9Ltia86aV97t8b0Imz9Gu2T1IiFCNK27AYMbEByPOZgRKyAqusRiVjbpklfKTEbVpgS2JyMj2rFSe3nW0RgK6r/a44O+OqIA+INzx645MJjCU1MBho+gNNvWHw2vUEG6c0aoYozT6AyVuo7DjAJ8FekSpMgjp/r9I9XepwWwHJuO4eZ3FTsngF5OPSpKzPKCSKrALdZtq7ktCRrlPeoPmjL9b5wKdbWJFLE8feTntnI9nEuD+/oTwZC4IqIH8O9h5jSCrgzoZyWlN2ta8DuJWu+8ZIjHQBpzKGRPtIZfjZtw44eNrnA5/xSNIM5JmsiYR0cwcpQc6Es5JLkBxEZM0OmEyyiLIRImd4B2zXz5nbg8ZOsvgG4KZSVDWJq1ybT8JwQpaYDOBawyg29EaW2sji9UeSYeSWQyUtKJcLkJUo3o79zxvR+KQGtwVzF4xe7TAZA3nVcpsMLqvzNnLGzkFuxgNMOam/8+yk095Slq6Jkgl+kHDwrOQztzfp932ouwSJ2w+ykpafbEvLQc54kD35HMadpudm8Aroi/tEkZHJmFxOMrksQa4lUrqZhq1myltfMeDLd9U5eCbzWJ2PghaC4VhUkJdebczkKiM6ZTOgZ4tOnp4vJEvx3mR63mKFqLTzVWdTjgeXBeALUNnnOHaVvEE2XlBnFYuh7+JKT5s62obl1SiB7INTSdmO/alq8msykCoi32fT4Nmy9yzAFkUgVx3uWA0uTaa/TSXQLGVJAe5i241Sf+fbfXteSpQYbr2vyTceqbvh4BX2lgKX2Mlr0CszRzbU39WgcoMA89vdimOcA33yTsng4933ZSmtNBItlNttWijSyOM118a85kVDTnzJJzJOh2fimRSPSLjeS2FBZLvg5dJoLPkjXLo+f61y90RkNSlQam9RZjOdk5K/74LP6jGrYsRhKdfbFbdkXWReiV2quYSKxJNS0GwETLdreDt3bV87e3rw5cWa/3ejuOybK/xZcnYR6/5INbItgwL3WlZOch4152CuXtmTwC5ngpeTS9dLFDMO9uo+MkqTbxhbBpPuLpXr1JFByh0PBvzmH0yhjQeBKrW3kMU4tqo1WH7ucd++yt5MPK8cmGdHdnF8xzOYNqsNKZwUaSsyxc1NkdKMM3kmVYRxw4KCQPOLP9HlmZMedzwgMYGAfNsBIUmMyjZ5n+w4KsHuTiZgstcZuAtdLkqJ4qQIpYsiy+OVA70ai1UD9CKWm1j1RAEyO3asxgBeed8Yi1IBYa355e07dq6pl920vd9ZXTykLT+TxDqr267WgEyMA6iArRydW8k0ikqmT1a1a3U4fN6BY7MRyBVve8Lrrnbo5MGkVwkuPVVh8EKSVJyTSkLHzRhMOLki+M2PTHH3I82szzIA5VrSPCmoS6hJ19fpy2z0RKVMdryWu9rRX6mjr07bkrJoBSwapivHdKyZQ4jieFRrcoSckHUZIVdXwXK782yEm4X5uZTQs9z/eMDaMNcIGciRxRTx8boZUYG9qKzYFVljxxby8efZFV7YihMrVVHURblClatYZbBPNclkqkkvB+TidTaGOr9I6/Ua584t//hjjz/9jHfynMQikRhqSlALXX1H7iBVZxFaO/7lqgxefOxqoCDyQqTqlKMJDb6hLNlApsh8r5gqi1e31pgEd/5eVgorXa23DjQf+Vybz97WxNZy5nbuiRBlUZWcKKzaKKicLEIrey8nbhOsVCR4qu/lJ9facRavBp5jXrgtNLmdHDMhFNIYhPCQQ83bXjnk6cM+7/2QRxymFYCDxSd2DvSGTD4ZbFqRJX4yaYLIEjyFZMHNzsqlCSB1mdVcJ12rsUqF3Z9tuRuTzBWLUGRg8z3B3JRHo+E7HzxOXETuS4EM3C4HStqxAz/e+T2+PGyY9KkGEWNBRdUmtOuAPrYqFMFm/p4piquqmyKpbM/GYjcwpct9HSuPnkqRSvONB0L+4EstRtorbUHhgXCbmOY1J9XCqupQ97xy8Flrm4sTN6lOnk2rlHKkWqZatQuLgqtqwCkro96EQGYSxRSPCiMM2niEvuEn3tjnnscCvvZIE5sD3BnWGCuIss743E8pbEpps8nLTofnhK6EmHBPMl0us4CvYioYshS9HT9GMpPC6+tLxPgRExN6e6y8Ib8es4GhElS2e7WWAm/rbOIYXKTU/JTAz0KMsTRxVReuX56q1s7GIB9nbjEJmnwjo7FUfRXslWCy2MrOjmvunMVlxRLMtbdMUV7CIBL82u9PcfhUiPWzvT4nspa+KH3vvCRWbQTeqv6Gdct78fQ5BLmdOI7VY+sCy0kmr3i+67Kb1oFb5CwuEUIhjIeMNRfuSPnXP9Xhnn8R0htlUsWUn9ygiIpqpXEtjrRFxxFFFjPrvBdlHUouFXK2tpVznrNsvqrjrq1xW7A4puu1+CTu8jLiUra4oxYnEKzEDEYWrS3eFZfUEcJDp2skox7aeCSpIkklaSoxorIzV2VtzeXKuvqADR2U6qSsks1LYJeSRIyB3KyTJ/n7ub8tJ92SySBTul7LVMPvfKrFI/tqpeed37OaE1/YSjtaaQ+OBZUVkK9HeFlUVOK6EHMTz8u3qi5KIQUry+865yRnb5GxuXDP3c+qLJ61uAkPaSzXXZbw7u/v8F/+bJpY5x+6BLuWikhDZnKPg7wAsSi2erTZr1qZzXPJak3ydrZJoAubOysgKtNhJxOE1ZiyeuTyJ1Vgm2wnkjTbjWSUGIJGk6DZJjEa77JrX4vnTdFdvo+l449gzBydfp3hyI0OT7X78iLPXOXZzQnzvagZ2ADUYxqcXKIYqk6KqGruCWlS1d2FXFGmAu7SJpQFc5dtaKqm+dp9IR/+ZIvO0HcZHPFsNScV7b0ukJvQ3+swPilDNtDlk5brxHuTcnA8AVSm7W2uvY0sHZa8tFYojLYYYbNkkEKnhnbN8NNv7/PQUyG33qugkaEtR6WhALlQorAOwfnYHtl5z1wV937O5I7N8xoXWwC5BHq1nFYUtmFJBoXzVgH35H5x1Sbm3PdONAxiwcpQ0B2O+OF3vIDXvPRaVtZ6eHuPN5mdavDVO5vccafiH3//kEboE0Wq8H8RVU+0or8nmbsaJORgngS4JJsNPg7skslLphY5sMUkk1d3360ElHlaPkvsKJkivZR9Rz3++yfaHFz2s33vHbDz7cjH2LsiS9YFmGwE9IoKqS6r4tkDzo0SO7lrkJetVkHtdHgpV6q7bbhd8AQi26rbZvNLCutQuKBTSItMDHtmU37+B3ocPetx4JTAehmL55k5K9DIgsltVrbhZ4Tm2DoDMFkddwbi0hsXWXKHwhuvAr3Q4tWVnoqVWKHuMQavXPD5nlEmy/j2I0m9NeI97zjN93/PkOl5RbIFPLSHsAqbNnh07xbue0rzkqsUJhuWng9QNCZfqSwbEFX5YQuw24reqs4PqfrJpRwRG7D2eiY3Y4keWQSSJailLEth/TDlbEfwax9q85nbGli/ktApnBNR0d7jAyzHsq9jq1NlSc2+8JgTMKEfJyPOjXJzY1ZalckNRWNBtjlfkeV0bWPZKORCuridzoywaJPpcAFGW1I8fGl42yuHdCLJL/yWYmFNQJhmTJ59COmRovLx4S4HInHAzoCY63KZed8yK8Yq/O/MCpTZxSorQC9IggmSsNWAc+OgfCzAzG166YatvuhSywsvmEExhRQ+SoTIdl3RqIdnd2+WX337K3fgixnOLtdJtSzPTS4fNspMyvFakbE6kdz1UOMWn1ex+EoP24zVlZT/Z4WlVcnaVXDLKtiVRsoEz0uIMXz+W3W+/kDD6W6lCsekcE4ycLsh8vZZWbv4vky8B+PgnrzwNz5PE2ieAPW6xE/G1qYEfTFSYrJevFKzYq3EWJX9XGKtRKcewkpee+OIN79kQCCyzgCTgE3d3WiwBm0gshAZiI0gsYLEQGogyQf1W0izVUSb7LkBneniNJuxmL8/tl2hrW5dWNmB2eJ2YLbj98lgO78pBdumDXGvxoPPXMLpxcZXpaqfjZIA9d/+2/t4yxtfutaoy7VWTf9IPFwkDFyDafUqslRS0jCum8f0qt0A9OMVgMXPlR0Dc7W2u6gUrGwlrarSpALuMUtQuoH1Who+d2ed/+v3pjhyNiybGGT5KKQglFCTtph5klcsesW2edU5LJXd3UTeXZ8lw2Q+EKkc1l/MMs/vIu95LRNgY3NgKkmxckZ6tRFk/N+MxzV2Q+kkK6tmHgRbY5ltp1x+UcqJBcWBY56baCYrV6nI/QzXYzkmGPJETmVpspT/Zt3KlBnm+fYjE9f2uoK+akA5KYfX/bvsY4c+YFO2br+AIJz6P5/ae/C+m29+qYsbRlHqtm7WKaGvCX2B5+V7K7q5HCITWgLIC3rHl25bLBdju2pNHORcW28oTwonZdwxcc0O5XMpJ8GdFoGllCleoDmxqPjwp5s8cyiEZq63cwZX69g797zVhiw93oFUfZ7T93iJ5zhzj8HAVgCx7sRVakFsNbGRv08lwKzo9Cyl77S4G6tWWLxSIqxybWPGQwuLQJFEhsv2JPzE9/V44MmAo+cqy1bmezvAe2gjiXIbUGSfRZQeuRVZx31lJqGa0OC2GNtWuidVRZD7FkWBXkWnj10slReFmwLEqdv3yegUa9zdfXrgoosuQfl1ppsRy6eeptVMEcJtshknavxMrHNHxp0TKSYBPg5sWXm/us+5qAK6YiEWEkTYijwZZ+4c9FK6sccrXcn7Ptrm9kdqWZWgVwJb5jUnzjXJxyAX1mSFMYsgeaxpdiIIyt9HjIN87MmzKxSqDJbR0lhSrZr0sVltdRFgjm97UjSsiFKHG2MQwgWO7rwodBbk64HllddG/KN3dvn3vz/F6iC3Myg1eRXkeSBpcnA7Ua2y9xxB2DFHRWavq03INg8q7frZg4WlKJgIRjc4nBaS1NmD/QgagWLTlp1ceeXl9PrDEuCbNm+hObf11iD65G9ua6z9gqRPb9RkcaVFFHuYco2aCCLL2ggHhklgV0tiqwkeOw5yOcniJvs3ptDhhTUoSpCPuSVZcDkSlt/9dIsPfapFT/uuZUvkpbBegVYlxisGiwBTTmrwciHOU8vrk1r5gbGU2/X9FW8VcJflEHa9Jp9I2ZedPyCMmw1pjPPgTTYUM3dTchnjJkNJhHDaXKeGlp/yM2/vsbAi+e2PTjEszrULJKsgN0gi48Dq5qO4gNIzpb1qK+ydAz2vDbeTAM8YvTpVwWZ/rghG1+GuPObGuljgdFewNkyZade44/HF33zXT1x664mTp0uAz85v473v+4cDKeSRtZ5iredxwWbBFTsUaaqyEkQHPmd/mTL5UZEbGzP2RsCmAuINgC7WSxSZM7eoShSNEhopnPa2nuHpAwF/emuDbpJVCVKVJ6U0CcbYuxJLiPVadqzBuPqzCrhF5STkFuG3IfBJfFdJvOKNiwrA7QTIBVXrUGYdwLk8kUI6UFt3N1YirEQY5aSKsKSppRWm/PBrB3z1npBH92eaOwd6LlkykFskCVQcltxKF2XaXropV6qa+JFZtbmtAD0Dss2sQzep1mauTGa3VxaU/PAWRWkShLJce2WXnZs71GotWu30yO/83nsG7/m53ykBDnDZlT9Fq1njzz93F1//5gNcf0kdlQZsnsn2bs9X+AzcY5nIMaCX728E7PHfMeNsPglq4X6nlCnj4M5liZQpytc8fjjg3b85wxMHQqwvqabiy7tLWBQzTkTpeYtnATYTj1UJUgXymLU1aac8F8grLWvle+X7VeCvK77K2LsYBG+FEyOZLy4yNrdZOl9k8kXmIMcgYss1FyW8/xfW+Jn/IHjiYBacTCSBSpAL0uw7OUnkcghO3Ts70f2T7DWuDTLX506DV4BuysdiOlp2hefH11bkihICz4PAE8xP+7zkiiku223Ycf4NbDnvleh0xDqAX3XhJpqNBtde2GTtuMf2OZ8olowid8V4ymAxhTyR6+RFztqVDOVGvrcclyfjUqXU2iJ/Lr49uD1f07OS//HpBo8+FaK9SdbOJEomTfJuHa8S6EhK1qgumWVF5Aa24Vil2SScRbGUflv6HgM7652GwjoURY1KPjotDzBlbhMKUfY85ixuMvdcuISQNBYjDGQFWcJYVGq47oqIf/DWPr/4X3x6qQB/4nOajHKlh0WRWNf9ZYTAUKbqTSZT8nrxfFKarepxxhk998ltQSai6PcU2Z/N9YvIpGUYuJGDJxYa9AcSXd/G9I5dxPGwOJ4FwBt1n0YjOHjetqlDl+2Z3SNICPzyxOV9HmPtZBMFUVUWHge2GUv0TAJbVMAtRJmOFxXAF3KkAnAlNZ6vGRjBhz/T5BNfbxIpLwPzBHNnR8YT5QjkQmtTrYchr9AoExBFYLl+4JHImLv6Xq7H+TZCxT7Lc/d6fEZJtT56LPDMs4r5BVAkgMryWpHpcGkt1ljH3EYhAC0cxyIsQZryA68ZsPeYx4c/3aKf4ECeJfmKdvgC6ApjBTFZRlEKPEeDGBzoFbYctyzKrihDKTWK0RPFBeFOgMxqcYvspy0/AllZY5wYllY12rTpRa1DQtUOanRxHIuIaMeOHTz+6P1fnZ+f+tiunZtohIZ6UO5MtpFfXZ1RMl4PUhZDuXvF7is0dVneWjohBqnGf15mKM16cHuaXiz40Geb/IcPtjm35Gc+5QTI5bgtONYlT9mo8Wyau/q6APYG0f06tn5O+i4Ze4y9KYf+VBm9WoQ1xuwVUJegl+U8lUpCKJ8xbvO6cevKaq1V2XwVxdY5w7/66Q4/+dYerTB1GRurKwmgNHuti4SQsRBbGBkYGUFsGEsIpVaQZq9TI7Lkj0vupLqSKLLZ+7aa/Cl/N08EaWNJjSXRbsBPtx/j12ZQXvNjd931ra9u2bJtPYMDSM8nCGpfDH35lnZTXVsLNaFvMpBXhsznjQZF2rxaCWgLB6TqqMh17G02kCsViVJh8lKS6MrrFBFaPvv1Br/+wTZnV31HzVkgOfaIRFakyRi4hS2aMsYrBitp4yqoK8FOVZ5MVsSNbx/47UG+0XiO0hvPwTwZZI5XG5p8j8oK6MUEixuT24Uu8LTWpfTdv5KksWTbtOFf/XSX5a7kY19ouSF/ORWaKpVaioHcOCDnEkULJ1+8ItB0/pLKx71VEllW20qLW8nyqlAPwtnT+bE1IFNLLAA0LelhDI82GrUvDofjx3DM5P7Qh/6A73nZxceVSm8K1Oj6ephQC9w+7kG25XWRMq/MARyvzy4ZvJq6FwXbV3xtMdlzWc1cVu/j8kRJjQotB095/MaHp3hkXwhh7nHns028CpNLp9lkKU9ye9CTZFuBZ5nKIuov7yXDi9JKlKW9pYrnsvKzyoZaQpTvyYm9hyp/r6hcrMxcWbeyVDKY44Vs+c8qejv7nfzCKwZcVlegysWaX5TWWKamNfUQ7nncZ2VVltmvZ725/8lm0kRXL1BbaVHLjdeN3pv8v/K3LNVPWoYEAC3RbwAAMKhJREFU1i0wSnn4vveFp/Ye+p2f/ZmfGPtU3uTHvPCCrQgh6K+uksZRdtIyIFYmSElVVvqNedZjjFyxDuW4Y5KzSFWDi6oOFxaZgVoInWU3M3AHhkOnPf7N+6e57aGaQ+6Y7q7qbwc+L2OTKntP1noXweRkokeUfu1EJrtUIdXn/w9uZWq7ktmclCV5ogfrgsusuk5OWIdVFs+TQW5WiQtABbJgcjJNLjI9bkaWV78w4t+9u8Mvv3+Kw6cDp8dl5YPKyU/uVssc1LGAND/2VhTHXmXsrmyZDCozoJU4z4jxzn0o3CJtQGpXROaFIZu2nIcxZt3xXAfwa65/GUJ48cLho5w5dZY4CZznn7NtpXCqdDcm7cFnkyXrAT4uVXKJoovXohpYCo3yDUfPefzK/5jiE7c2iEW2Of1G0kTIgnVLcK8vhZ2UIQWPbADYarmFe1qOAB7nmcrviJIlNyqqGsPIBJirP6vOqbFZ60zZZTVexmorroq0ZRJIFIB3VYjufZn55Lb0ybHUPM07XjtEG/jl35ni2Dm/dFZEhUoLtGcgt26ZsQg0rqQ3FQ7+BdCpTgorga3JVsSKj26lKMtjpdPrMsPyILZsm9rKm9782jhJNL/4//s2AK+1ZoH5fxE0L73C98+9Uushbpe0vNFgvVdd9cBFlZErAGcyfU+ptd37JtPtpe7On4tMoijPcGzR4xffN8WnvtYgFrIC7vUJnZy9/eqEqgp7r9PbzxJkbpTcmawrssXLCtCrvyPYeIWvBJB5vUlJ5RMWYdGzaUsnpUgEVcppK6l8UX3MbMN8hwaRJYaEsdkFKguwYyVpavEx/PDrh3gKful9UxxbFBOoycGtyg8ssiFDOdBFFkBmjO7Au57VVabT87HMJjt/xroZiHmTw/+/vS+Pk6O6zv3uvVXV+/SsGo000mi0r+wgwCDMYmGwIWCD815+8RIHOwTs4P15eUmwefHueHlxnmPH4Jifn00MNobYBoMNwYDYjFmFEGhF0qBtlp6ZXqrq3vv+uPdW3aru0YZAwMv9/Xq6qrq6p7r6q1PfPec75xh+LqVAqZjHCSsG/3PZgv5P7Ngz0XR6m+LKhHTjxc2/GpektD7gWQ4Q1YJPt9tLdCaz6gDaheWdROEd23ti5Uqy1KSRJL0k6j0hKA3ASAjiCAyNMnzm22342Z15+IYcR9aapZaVZbX1JnZ+pc1v0xW3DJAT1t0GbQrEScC3Unsf3IiDPM0XQlqZZ9cSj7J9pNXrJ9Wqz4TvTTFPKagOCulnwaImV1IycE7gcIlLzq7hmisrmN4RxJ4VEaqHFPG65C2WdVaCVAGfUAK+AOoSqAmgJgjqgqDOlTemIYiS52pvTKDXfa5EVQFXrwFAOe/yrrb8+ut+fMf4zJ5S07l0pjrJfmPyCuoUTyRy9BjXCaNEA0NNEmKpNL8mIraKaLWuHoAJ/xuvi7AsPwcxwGcSoUPwr7cWcOPtefiU6VmZCcXbQNfLIJHnxAFSnhMb3LIJxLCsbzOA9+Xd1tbrULl4yptia8HT5TuMxYbxriC29so6p8L5Fm1ROpKkUEtxc0VRhGDQjgv1gVwpUS5dXcP6zS6+dF1JRTKNJ0VAzYEicmXKxJllHQa1xCgJqy4Bn6hyFK72mbtEIjTzJ2nojG7HIgCHElCXor2cf7IyPnFFua3Y8pS2BHjf4Fuw/bkf8L6Z/XJyzwYAYYJeMD2xbHL7TcGzEa1DLaOZh8d0hut1EYEbjOCO+7O44Tc5NCIhdSurbQCvPBV2be+WLkBip9Xtg4pYUcmm4I+5IPRfw8sPCuQW97ZWm5MeEuBuFbrX4BZazpqaaBJYy5KCGLGWlDHIhQShFFJICC0ek1Ql93pE4k9X1/DIOge/WZOLMn0AxMEfFWuNQZ7OPJaRGDk6kVLTGAGiKAwA35o7OZq+OJriEAIQDtSkgznz5svRyZB/+PLVBw5wAOjpPwOSV29wwkcXNqo7C0LSmBNbUUpYwKYWWGMgI7LWaYADzVZfAVxfMI4EYcB/3JvFJ77Vhmc2ezphuBWoY94NPYlxiY6kkZTf21hvJGmKTU9a+cDtQTTi7QnklFKUA8B3K8BHSibEE0nzQlNysj0BRWzhBaSaVFqJyjI16RQRF6cgVFlySMXFuVDcmoKBEI7lc33844cq+DgDfnVvTlEQ42yW2j9u1FNmZiJNvmPK9aQ5uvpeFl8nFFxqzxVIxLkpENWsCQXQ39s9ef7qlTeUC1l89qOtz+2U2k4vNygnRx77FssdszfkgMM4PNeH6+p21yxQncmcMHowJ4iaOplnxgIwGsQZ7jRMRCOZ9o6YdaItOGUSxCG45fc5fPKfNLjdJAVpoiXakWyoSSJDnqTB3MJqGwqSttSkGfAJEKdD9ekL4QDAnbbeCaxroCcLAlm0w5Q7g2XV7ddksninSHNySSIeLnSaW8zLmfa4qAio9IElcwJ86QMVvPX0mgo76ogmYKKbNkc3fDyMObsI9MO3Hg39HAA8AEQIKTi4EAiERINL1LjEJCeoCRUMevMpC/b+7oG131qxcMaUE58pLTgACG8lBBkFYQ+iXNgGEIGQq5OhfkybnojYesOiJJDW5MvcyHXAAeoOoEAjYkuuHde3/D6LT3+7DU9v8JT0lbay3DbI1eebq9wUz4yjlTZYZfM6kmA2ALXBm9aAtxLik9TzlOCWU6/HoXlLTUisC8Cy8hLQ9VHUhxiNis5HsKx78qIwVjzWrMTcXJimO0zxclUnRQ3qCywfDPD5KyuQEvjlvTkFbhIRd0s1pa23tE6UrSexAwlGSRX9pmabcmkCApxL1AXD7P42vOWU+ejtbsPf7eMc7xPgHR0DjbXrxy7/5X0zfrp9+47CZX9Sw+JZEvWaB6nrGcZhdQ1wxBQl+iItful4kz3pBAhVpQx+fV8Wn/rfbVi7SdOSKIy3r4fmbbCDOZZS0Phd7e0GxKkJZAx+kuLbU4fgSWrhYP0pkR2QyfdLG8wpzh1RFGJZbuhnk2Jm3Igi5rtJPbme+EFNOI0xIlTrWqimnFpTDiGVxHYwwJc+WIGQwK/vy+oa5ALx5DI1S5H7/fYt7spaKAcBNHwsHZjEe86fwKKFJ0z29YSX903rb+zrU/cJ8Cc3DImu7jkPL1x6ceXzP9xb2LJ3F774l7sxpxcIw7hbmcNCgAj4xmrY30sqYGWo+YFaoV6q2zxVpQ9uX5PBx7/Zhmc2uSozoSW4U9QEsVvQISaQkKwvGEtf9cU0xaQyTUESPLyV5W41p9yfFkVa/8ACtM2h45fiiKbNyaP9pAVi+yIgzdqVyCeuuW+sUSHqDimVTzyy4hJ60qrT5QRUoSEhQQKJZYMBvnJVBVIAdzyQBTccMPEFkfiCREp41HQmTu4iQOFzBkGoSpc3kgtOMX9WHX/37kmcc4KLttnnVVhuzsOSb2sOXx4owAf6Z6K9SPc8+uSWS/7qohPv3r399269zuH7dVDWAGMhCAuwcYhix14X372lgN2jFCxSyUiEHFg6GODdb66jq52jr5fDg4zq2BmEGHD/7pEMPvL1Njy7xYinjJ21Hglgs8TEsqk6FfaTzIBmcCcsegtviSFaUdg+8Wrz5bvPYVnflhcBYgueiHBarkKZADwiQ5KedCoaoq16InmZJL0ugirHh1kHVSCnxjtDlUxACAhfYOlAiK9/pIIPfIXg7oc9cLu3twVsT0pM7+Xo6uB413k1LB0IwXn8xRkFdo0yfO/WPLbv8bBlh4dQQnW+czwQ1omdewoYaawMnKpzSbnQswe0vM/Tu2+KUmLYsHEzTlw+sL2vrbFx49pnFzkkgB8GaMuGIG6AOx7K4EPfKGP7Hg++zyCF9gMboigF7n6E49pbilg618f7L6zh3FMb6Ong8FhclFFQ4I4HMvjQ19qwfourZokJFZENahvoCmKR3gS2WzBZFdZYbxvQ5nUbrE2KwAj4TYhuIuuJl5tmo03YTRmwFOc2YDZ394T1jsHf9ABSNEXGVMV4YEicjW+seMzPdTEhSaP3CO1VEUIqrTZRSkQIAgQSCwdC/NMnKrjqqyX89oEMuE6OgSDIUInubo5zT23gfRdUsWwwUGW6ifK4SBmfJCl9vG1VDdv2MFz1jTJ++2AJAVy4OYKg5uLJ5ztw2qpjN84qLtq+a+c29E6ftU+AM+xnfPQjH0U4/uBYMe8+3tfj/0XJfRKd7TXs2BvgV/dn8envduL57QWEJAPJMpCuC+k4kIxBMgrJ1O3QDym2v8hw5wMZPLLOQWe7xPw5Ao6nxPG/fSiDq75awvqtrko3MwC2J5aw09CMwCqZyGC33DbqQGY9J+uPNC/bij5KSbI2IbVqlVhyz7iLr9mfRNvU4SXVha0iqdH/t7dTtPT8NHmBdHKA6ZSRvFvZqYKtPUUE1n6IbEZqWzKeEXuV1D6QQFeHxInLQqzb6mDzCwwyVL/H+ac18PkPjOP9b6ticDpXchZOIEIHPHQRBh7C0AUPXQjugBKKrjaJlUsaGJmUGB0nGBl1UQ8ETl+5Ah3ltrfd98j6J5Ys6MdXvvq1Q7fgADAwMAsiHAdhxaHJPeO/3/w8Pf2Zpxq49pYSfnZ3Gxoyp6quEEf9IsZ8Cx2+ldolBA64QJUDv7s/i527laVftiDEo087uPo7Razf7EK6Kd+cPRVM+LpZtN+U1hvNaWZpcZXxzzdxcdtAp+cVCatMkquHOJqstbUdlmWO9o2O3EwyZURRDB83Aq1Yaahph0VHoKOkJtATT0rTUVBj1WWsSweBJBREcnVAocTiOQG+9bEK/v7/FPHY0y6WLgxxzQfHsXxBAFmVEL5uXisccO7o5bhUIAAl0wg55vb5+N4nKrjxnga+e1MNddmHo46e9/sLz181NDpeRUdbYb/n9YB/l3sevAvlUv6SG29b89Pv/vh3qEwUUUMecDOglCmhjEaBKggpIQS3/J0NS7vAgQngXRfWMG8wxLU/z2HLTqZoic2x025BWwZrWW+XaK03kboUhIy03qZLmkMA0xYlWZUquY0mlm39d7xuXou22RpwCjCW1n7H7UziKljJalnxs0w8J5el9bqA3TM0FsElM65sbX5CBZromGGixlozZInpWKqagdkWqTx1VQNCZaQ3Ji7B5p0M1/4sh3lzOd5zYRVyApBcQgiGkDsIuYeQu+ChAy4YuKAwJbnVMao675lMA0ADQ3sa8L2LwEpnXwoxcePiRW86INzu14JHV1V2BXJtHQ/39AY3z5wxctHOZ16Ak88j49AIXKaDWiiUYKYmHARcW3TJAaJ9pQ2CeYMBVp/RwMLZIR56wsX2PVTpGyLTabkskLLq1mtRkXpoIVX6No/U7RzNVj1xW462J/lzxK3tQ2oyF8Y9ZluQ/Wf2xCIqa73FPjG/VqbeaA8jq225J03kPJERlPCoIPlsJp7E7J9yJaZci4C1HUQrENV5CQTBUxsd3HZfBoteCHHaCh/zZwQqBiQJhHDAOUMYughCF0HoqDrm+guYgk+McYScIZcRmDu4BLR87M3IHP0wsOdAYXvgAD/t6G48/syGLR/8bydcdeeaR9mGnZULGOcouQIei91xUgPc5wRuSFABQyAdQId8EUjM7Q9x9V9P4O1n15EtSPzF22p4+FkXu0ZJclaQnmSmJ5cpz0nS562l9zbHROoasUCbnmAmsBwh24Zta+9KIhB0IMA2CyT1gu2AMJ4RisjlYntWkKAmZn8ZRfYN9uLkB6BljZUItPE2M7lUr9Nof0JofFVZx04JMDxCcd1NOTzyuIunnnNBKMHVl1cwb3qoQU51owUXDd+DH7gIOY2suLmDOIwjdCkIy8Dl02/NZt50lQw2baXeosMPcAA4esk8/PjWNVvfc+GpT9F644Kn1m5AIetYXRHUdw4F0AjVeiAJQq4jUb7EnN4An72igkvPqSEDQEwCZ5/cwMqjffzqbn0VJ/itBbe09UasUTDgjqKWQBOnbvZ5y6bXkNofrd5rHd5L5d5NmI7AHisIo7tIxNEt7bgBpP05CessLdBa723K7TSBHt3c27QqSVhxex2RtVfHqGIZnAIPPuHirgcyQJ6iLoGf3pEHQHDNlWOY0y0QhIqqBKGDuu+h3nARBAyhBXCTGkmqBMKZh0J29VMTe+7bWuo586DO60EBHACOXjgD8wZnfWnrxo1zw8nhP929dwxZl8B1EFtwDjQCBYgal5iUEg4JcNyKSfz12yq49KwaPB53yWjzBD50aRX3PZLBcI2gmQtQC9hmwqm5MpJRS0NBkvoTmZhgogXw7W02clsY7yZUk9RSgmU17ZMCdirgY9MMG9y2/srekJiE2vqmaBfb143UshXCN4C1LXkqOGRTkiiHUm8zZGx0guKb/57HWIOpWyuhaAiCf7+zCFDgry+ewDFzQxAiEYQOag0Pk1UPDZ8pQwjVxtJlXGmeMl0IyLIb8h2nfGlidNvBwvVgC+kBSxcN4KZf3Da28uiB9xI3d28uw1DKEZQLBOWiem4vEJTzQFtWRawK1Me7zxvBzV8YxqVvDEADD0HggnMGKQgIlzhhcYDVpzZARRoKKcBrU0rQKv1MWvxatrbeU72ewu+UNLvV2uEy4y1Gk/YENhcnFk1BCpxJv7j5sDg0bwHb5uLaNx7pVsznATCVedJcHJrnCypx230ZPLLOhWTG6+UAjgOfebjhd+246JPT8G+3ewBCcM4wMelhbCKD0XFPPSouRsddVCZdhNxFqeDcS7IL3/vsk3eMlToGDvr8HbQFB4A/u/R83HXvY9UPv++t/o9+/HPUJkeQzzqqyigIQl2vwnMFRhoC5506jL9/ZxVFL4fAJwgRZ++oLLwQ2QLHG1b4uOm2AoRjQc0S3Nj9HW3rzZBMGk50ZkhRi5Y82V5vxYqAJm6O9GccZlCnN5hcSxUZS+4bCbM0DVGeWhJZdpuHN/XeJERrwFN83AYx0Zk/TFoXSAxsMwQD7n3SQ33C0crPuA8SCENAKPbUgM/8oIhGOIYzljHsGc2hMslQ9ymCUH0xh0l4DoHrdaBn8AKfEFnt6XvzIZ3LQwI4ABy3Yi6EEA/tPev4Ux5+aE2OEAGHqduUHwo0AoGOEjBvIMSfnp1FGPRgZFxLaxmHwwIlqwVRSkTB0dkmUCpyDPvUurfYvDteNZPLRGZOyktiqsM2BUaQ8qRYQI06/rbi18nDSFKTqUx+tPeBDjMztIGutyFlua3JpsF+QnwFM7lE1COniZvLFI2JfOcWLbG9KNEcwFhwfYQUqExSDI8zSOPeNc0GmAcQF4xRZCkBZAHX/bKI+jhBxvUQcKDhA0GgeDyjQC6XxaIVJ9SK5QUPEXLQROOlA7xcbkOtVv3MOWevko3JoQ9v37YhW8xTZFyJRkCwe0R1DZg1jWGk0glKqijmGshmfGQ8P/Z5EtUVzBUCq07wsXRRiHv/6CkEJ0wsgS2qshOIExPNJirSjMGo9WEKrGmLvs8JZur9hzRkqzfbIqsUR7d2sVM2I9GVuTaIEWEh8nLEIXrboxIHfoTUNVFSVryJkqRyRc1FQRjw9FMu7n3EQxiFV5kCOPXgMYaSI9HmSrRnBbpyDtZtdjCzR3H8PaMBgkDAc5UFX7Jodn3JilO/Aer+z1wud6hn+OA5uD1yubxY++QDV8/o6/7ygsEef/7MCRy7aBfKpRFUJlXpl0YATFRdTFQzqNY9NHxXu4WUg1/opFcpCbycQC4jo9tf4mHNBGOloAG3bb1lgqo0TS6nmGBGmE15UlK4i44hPfbF2/c3mnQpqQ0JH3iKvyTKvOl1aG1HkotbBXcirp72dwPJCWYyOaJVokX8+wC1BuDXzEmmmqK4YJSh4EiUXYk2T6KUlSjlJDKOOvByMUSlXsWjm3w8tz1EodTjlzu6v3zPPfddnc/l9qkW3N84ZAtuRs5r+K7b98XpHTv9yujY5266v0af2dCOLA0xmFE18oKQwA+UWygIOVyHQ3AKwWicUaJRQiPrmZxUKh6OeHKJVMoZLJpi8fFEogMApF2DSFppA9YEcg/GH0gAcgjEPK5FSJDuQZrYh6QuBNvLYng4UjTF5uLm46XSABEZi69UuF5EbsTYylsXiZUUkQS5/h/CvtTVvMmlQJYCHpPwHAnPUdU+KCVwGMGMbmBwVhWPbpzEvU/2CpLt+Vz/tO5/3PLiqP9S8fmSLDgAHHfyxejt2VSbM3fazdtrJ8p/u60dO3fnkHVjsEoJcKF6/QjzbFkEQHG7dc85eG6bE192BIgCPBqBCddgimM3JRaj2YtiAz7CZIpb23huRV1acfckEl/qWW39efa/SntHEkkSMtap2NY8bY3VyykLbll3RMrC2HIL3QyzyZqHBPNncixaEICaK9FSeka1T6iMRGXqe0g0fIa+9gLedRbHVe9cLOcsmHXzxpHR2nvffclLPnUvGeAAUMdC5DqXPZctHn/F+y4+XcyZRlHMUXguUVeqBlwsEIr9qIYTCyLx1HoX27Y5uuqiLbIikWvQZMmnAzx20CZttdOKOTOSk0s1wUyAO3URTElBDrMnxebWTdsTWtmkyzAZ3ZRJsCIZ6WxyD+qLQtVKSV0QIFGLwmg7Yk4uQSA4waz+EMsWBmC29sA+b+aP1uKFXMIPJcYmCTYPFUDyF4ozjj/qipOOmfvcquP6D8u5PCwAXzR/JZ5e6/rnn/mG78/ty350weA0uC6Q9Qgyungno8nKV4nSDURACGC8pihL6xA9ibwndkc0I5hKJjekykGg2c23T/WgvWCe5VQ7HCZ8x46SxL8zy4kJJaa+SST84Ehx93RIXpoCQckIpUgtC0Fj/g7LqlsJy1KqCr5tOeUCVkJ0XexHKm2M6dBs2m/7gUS9ITA+yRFgGoaG2z7aO+uM78/ucP1FC08+HGf18AAcAJYvW4gXX9zJL7zgvA1nvvH08b6eMvLZEPksR8bl8FwBh4lE1au4uRTH3mGKf/2PAkInXcAn1p1ErUcIEhFKA1I6xXJSFz0FrSAkZc3j5ZZgtJ7lVK8fhiH3QXfsaGLzTDW5zb4w7MkkpKpHkrTqrR8JCx45B+JMfBoQXHZBFZ1dYSyXFgJc6jrhBtga3LUGR2XCh+MWcdQxp4yf8obVG4b37uK9M+YdtvN32AAOALlcDr5fu/XY44698qyzVg3P6M2hlGsgl+Xw3BCew1WX46hpawhKVD7n5p0Odo/qcsfxFDICuqmJEXE5oGVJCEJaZNDbk8n452/p/kvw8SncgIa9vuwjYcZJs1lHMoSfrJOSBDOmoCYiZbWnLC0haBPY020MpWDoLnPMme6DmqL5MkQohCqMz4m23AQ1HxgZ5yBOASedfPrw0uXHXDlWmbw1mz10l2CrcVgB3t5exrRp0+ExXL/8qJM/dsKJp+6eNi2PjBvo2oahrquiWm27LEAmH2DTEMXffqcN45OmI0M6qdhyCyLZTz5+RjKCiWbu3Qr06eDNVKNZUbjvcZhpeXLI1suR68+sJ9yBFn1BKy4ee0RECwC3qqEStQo3bcIFRVte4prLKxjsawD1EOA+hOCocaDGCRqcwA+Bmi/h5dvxxjPP3L3qtFM+FgTi+hkz+lAoth3WU3VYAW5GrtAGl9WvmzXv1E8V2lfs5pzCZRwZL4DnKYB7ToCM52MyELjutgIeeiIHESUy2PVOFHVQZdhMcoLlOYGtJGyRhkYS01UASf93YgK0H1Qmqc3+dj6IEzYVqZ7qM/b72RbQbT2KBegEgKOCnZpZWC5BG+xpKx49hC4WJBggGFauaOA9542j5DWAsAHwBgIeYjwkmAgoGhxwGMGqk5ftPm/1Gz5VqYXXdXSUXyLqWo/95mQe6vjsNV/CW958xh8Dnt1dyIytKuW25fJZFcXMeg0U8zWsWUvw9R+14f/eUcKI7wEs1aGBqjQ4k7Hj0bg7g0PibB2VnSMTuZW2ACuZYNy6shXVFxKxLpL09mQ+JWnxXis301qPm50mczJJ0zEk7y5xP/r4ddjLiLMEmyfO8fc2HqjEMsz7TGJ1fMWntTo2fYs/29bXy9hIAPAgsXgwQN/MAGNjBC9sZwAj4JLClxRhKHDckpnDJx018+Nbt2y+buUJR71cMHz5AA4A3/v+j3D1/zj7iVIp80J7aWK1S7ZlPJcjm2ngwXUUn/lOO276XRkTgadKA1AXcUqaAjelBBkCeFRqgMsI0KZTGjNeFEuXbvvIE+C2EnmNp8WAL1qmrYGfBOfLDHDSGuCtLtZmnbsF+gjA1jIQBaPM32gf/UHxevxstlGTZpHo5IHok4SkKOWBk5YFmDezgWe2UGzfyQAiIesNLF3UP7504awrxybFjz542SUv62TmZaEo9pjWuVd0d8obcqW+y3Jtc+rZ7AReGJH4xk/K+M/HOyHyBSCTBYiHpi4NUE1bo56WVDZJZFlLq532oCQ9K2bY1ORAaUqrIQ9440GMAzyOJneiTDpU4mBQcyDHnnCa2uJCKCpiKImIaIrVoS1RT5xG+6tObgycO6jXs6hN5HHaUQQf/u8VDHTWgPEJnLC0t754bs9lyGZv2DXZeElh+AMZLzvA3e5PgNEKdwodNzFv3p/78uj6HQ94uP2xTiBfBs0UAZZTFjsK7yqkxb11rCRhTTvixlAxNYnchzDVbpMAT2hR0iA6zLPCg8L3IV5YB3MsiYewJ45JkAvbK2JxbwN0br9mao1bEU9IgAsHfpDBZLWIifE2nLkCOO24Ko4/cXF97tyBP184K3dTtTLCv3v1X7x8X1qPlx3gAEA7Po1gApx2/dnP9lYH3vXCnmOrYT2PgTJFfwFwCY27BhiBhQZsVOfEaiAVTybj5Sj73ebi6du4OSCLW9o36oMZr4CTcMpxwEdrhFipZyOhjSecBtyIpRTWc2TFhTXxNJ0hRJxAAQCEqm4gXDgYrpQxtLsTDsnjHecOVs84seddP1lz+c827M7wf7nm8lfkXL2sHNwe13zl13jT2bOx4vhVa487k27qLDjnlJ3x7MwOiVy2gnK+gtEJCgEHYC4IpfConlwyGeV9Rs8kLqtgg9ueRLbkpxohSRpDmujM/jm4/b4UB8chcHC0mvg2r+9vnwQfTt25krctA0r9zyWxXiaJfdV5snXydhTa3EUFHBaCEB8bXhQY2pvBpq3TMFnLI1ecMzZ3YNZfvf3CF2+YnX8an/uby14p2L287tpW48q//wHOPaYTL44G7/KY/49O+EzX8jlrIekenPPxbuyttgNOHoxRFCiQo1Kp0PQEM6p1osEe97aMwZ0GcPRjW79dclJGmqtKJUClAUpTPS51pStGNWh13RNGSFQZy9RHiWupkORk2K7FwuI7U7yPRcFo3EadkLh+Ckl8f03NUtttT0fkCTHrqQKlpiW7kVeYPkx2N2umezQ5TCWxuE6IjFfHZL2Gsz42E/VaJy44qRcXnrNsb19v5iNjE6UfLuh/Gj1z/+YVxdtLlsse7Pj2Z9+DbwOYGB/7IaWuMzzU/kVMbOup1naDEAoQbb0NPYloiIzAkCiaYwBhWbhmgU/Cbr2Ey9rSqxISr8q0j/ylj/THRUka+jCi/2dJZslUb0YspTWZPaaiFQCVuUNUVVnjvYmSmhkAEeU5QbVm1L18dDllISg4p7qAD8OeCRelfBeOO/G03StPO/WTvh/8cFlXx+E9QQc4XnGAm1EslSH4+LUzBk8nteHJLzxx3096fJ6F57hwaNxfx3hKTGdi4xKM+LgGexPXbvEjT4VBEv3qFl5SO0sc+HVhwHKoIzH3bTF3mPK7Jdx1rY9XAlbpdhKneBISUQ/VwYRAFUxWrj+up2uECAgNckEohM7ICkEg6xSBH2DV0Rkcf8JZu//k/Dd8KhDy2q4jBG7gCAIcACgrQcrx77vls8Oq63392Pl/6Ng+NIJdVal5q4w7FNNUYCf1iApm6s9OJwXYoqX0Dy/jeW30FruMeWtwq61NUXMrR/JAh02l7PeRFlPZpjsTOYgLMpEQQaIdhfXplErdPFaCSWPKAUCAEAoiVJtuaB+4uhCU3n+k0oZMbg7+4apVI21dJ328HpB/6+s6vNqSgx1HFOAAQEgJL+zk1y9fcubwm08ZnzdRb3z5C9evcbNeDvkMgUMFHBaDO/aYpHi4rupqZKcKZ3FB+LQc1QxbBZteJrDoR4oSREWdbNaCqbwrUyCeJBdbui+tdfWajPePQB6r7JOvpY7G0Bxzt9LekyhBQgJcmBqHOq8TQk0whWr5RwjR7YYVbXTAQUkIz62i0X5OIGTxE/PnnbmBOd4vCcm+0nBqGkcc4AAwq5eJdc+uu/WTV73F+8Vvnq6+d4L+8813ryVhUKMZB3BZOiKpwc00dWEkavBqUBa5vmBlnuthQGtu10BrcEdqVBkDOmGgD9JS72vIFkv2IOkV7c2waUvsNUmWqQNSHB5xiptyAWrfOKB5uJpgSgYAprueAjwXcQUsQCLjNsCcrMh1niYdtvgDu2un/WBoaJM/a/bClxMyBzxeFQAHgMWLFuOuNU/7s2f0Xb/yKH732GR46fDOof81tnM7Mh5DwEnUB8meaDqMqCh/NME0PwQAbm7FJsdFDdsyx9uSlMPOa4zAZZtpC3ESqlVfkxlP5Uy2Gq2pieXeg3WxRetxrk8kDTa5UlY/UqTAHd2E9JzD+ME5Vw9zp6NEglMJR0qACFBBwaSMfMpcEPghA21IFEoD8Eodf8eyS3+ayc54oZB/ys+Wjz3ScIrGqwbgAHDmKcsAoPapr/1sfXbm8i+eM5Dzdg05V2zYvK20bY/IcEEBBrjQQSAGuA7gOiRysQEqWBFyREA3SrnE0ECMJlXNL8Vc3AAiwVnUaAVcu/yaqiHY2swnJpMSTU2S47uITK4TdYSRtSapC4LEc5G4211yAgqpuLYQQBCqxHChD5wRVY5ZSvXZDpGAq2kiU239hittaOtYyrnT8Q9dg7UvDr+wk3d1n38k4bPfc/yqGt/5/k1gjHnr1z5Ny9O7fvHQYztWbx0aRr0u0V0iKGYlch6B5xK4DtE8Xbm5OAcagcBkXaLuqz5BtvVupZazRVS2IIvZPu+mZWL5sknk9077vA+2PnjC/Wn5wu164HYd8cgHHonO4ia8ie9p5aRKCYQhRa3BMFF3UPcJOI+/s8skXFci4wrkMhylvI9yaVJRFNoNkT2x0Tt79dcG+js/s/bRn2PpcRcfaci0HK8qC26Py//y7QDgvzA0BgB/eMtZz2eu/feb6Jon5CkiGHY8x0HGI6rEl344DoVDifIKTHKMToSoB0rjbKsJbcttMwrVgFpGRXCMwU5PMOPlJq7Selt6rodmy9JkuVMTRvu56bPS4E4FdYAY3OaCAJFwmOLU9TGCsQnVK8dhgONIcEflTkpBQSCQcTlKxXz49NbcmkUr/kwsWDC4hpDwM9uGxtHfVzrScJlyvGoBbsasvjIAfPoL/3wLZs05vdQzbfy7e3dsfsdEZRcNgzoyLlMAdyk8lyGXIchngWqJY8NOgV0VimJG9ZF1mDRVfqNhqIu+2wMUoEK7v6xJpaEakSvQeGtsPmNPSgFgX7PQlk6VJJ0gKdRLa1IZ8W1bnqAtu3lNHUt8CSv5sITjCLiMI58LwCXD1p0Uk1WGXIYim6HIekTTPImGH0KSPKYV+0WmvffGVTOz7w+C58YpPf5IQ+OAxqse4GZ86ooL8cyzG8ez2ewHdwzNe/7xx/64fLxSuWjTpk1wmAPPZSjkKMpFiWkdIfp6KvCdCVz3624ADspZ1fIDsIxwKtuFEJUIDqo5cUKCR1oa5gRfN3xbm34pyX5JYFrtmNSNIAno9HtgqJXdqqQZ3KbQpvlsRgUKuQD5XAX/+ZSDux/PYkY7Q3eZoSxdEELBuQAQYmBgEG3ltptnzT/qqY5p07/ZaNTHe2YOHmk4HPB4zQAcAJYsmgsAe7a9sO1vly56+8Czz67HjBm9Fz3x5Fr4jUl0lDyUixJd5Qbm90/AJ2O4/rftqIcO2pDUjwO6zbqMlXWGfxoLSE3+on0Qaf+35TCPyhIfgPcEaKYcycSBJIgBJNiR2RADXE0MmaYoEoDgVMlbJaDbQ4AK1TrdcwX8wMf9Tzh4foggywQyesKecQk6ukoYGFyMgTnzbh4cnP+harW6pdDWd6QhcNDjNQVwM/pn9WN4eHjLsmVLPp7N5q6fPXvwqq1bNqyaGHkexexedJXraAQN3P5gBuPjDnpLSqjlOoDnkNhzIiV8AfihAjIjgGS6pgpNg7OZbqiLIi4ob8qcGbAnSj7ImPMnBmkN7Ph1uY8j0LvoKK8SPylLLiWBDyDgDsKQQkhETcJch8IPKHo6CM5ZWcXaHSF2jzvwmI9pPUUcdfRSLF684B7HzX+zb8acJzgPt0zvm3mkf/ZDGq9JgANAZ2cnADwvpXwewFP3M9HXWV74L7z6xPwiuZvVg0k8s7UdgjsoehI5D8h5qhOF6sGuvCsTDYp6aNyOElmiwtWOzc21d6VllNEEgKJni6ub15FyQ6YmjdEdI6IeMkFD0v8vuktobhUHvgQyHofjcFAi4fouag0X9QYDl+rOFXIVyMl4Dhh1sWjmBDKoY7jWgYtWH8fPPnXx8xlX/NXS5ScNAVh/KHUWX03jNQtwM/QPsH5ifHS9FOG5QQ0z8/nlN/72nl+0PbdzotCWEyhmJEp5gnzGdtNRtJcEnEIdf9jkgAceunISlAg4NLa2TVpr/X8NDRESoHbvSdjpYHEfneYDN8ffAvDR/0vmO9q1Tgy1Mp9BdaJB1vNRKtQRhD6e317EnuEiIB0VJ6ASjFKEnMBhHHvHMjh+McVl7xicXLH8oopHwksWLZy13WFsy2sd2KnT/PoYUgqoG/be8n1/2Hjyjr3O9555en24Y/OznQjHSoUsweh4AEIIOsoelswJcezirbjuzhD/ett0tLlZ9BYESlmBQkaVnnMdFS2lVhCGaFPenIig/d1MBZ6M39thVG3T1VQZU9pv5btHrLVhluY7VQ0gCs0jdgu6TMJzBbIZjkI2RDHfQHupinxuDD/4DcUPf92H4+a0YfFsF+Wioi6VSYr2Nor5c0rjCxf0D/f0zXN2jdH3BWzFA/NmFsf8ACLjvX5g8Zq34PbQnQDE48+9ONLZPfd2QcYWvuPzP2k8c9/XPvbs2j++szK8MbjrkdHFeU9m2/IhMi7gOQV84MIXsXVoGHc+Oh0dOR3N00Iu1yFwaMzbhS43bLi38aJo50u0D5EENNK5NLPnmJpoS53I5J8a3Eo/osLlUqr3uVz1hWdMoJSv4+4nOb7182nIIot63cdIBZjeU0RPZ1Df81xpXW//QveoE4+/fu+6d3+1d9Z3Mv197XUpRgQhr15/9qGO1xXAzTh6wXRAYa66cdNWMOZ82XHYl4PMAvaG0/L/3JHzF4a17adl6XZW92vo7crgjceO4P51ZfhhHpQALiPwPIKMR1XvIQlwLiG4+h8mhG9qaBMCgCoOQYT2odNYdmvLb239CYFdIUDCLi8ca1JkFHTiQvFoKYFQu4NcpnIjM67A6EQDv1zjoDJZxIzpLkrFDGbN7udLlg/eO9gv1w/Mq16xeTvjjptF15IfyUxxVvVI/14v53hdAtwecwdnA/EcLxyvjL7fcTMdE5Xhz2945k6PyJDnirnjjl9WP35aO8Hwbh+iJOC5LvIZimyGgTGCIBCocgEhtAWPKIuM/OjG30yIxrotSgGQVlTZfNu043ai2tkWHSFx5DXkBA2fwg+VVfdDJQ/IeSEEb4CTHDK5+Vg22P2H3lL10WVLZrOLL17t9/Z0f7reaIwcM7d8pH+SV3S8fsjWIY7a3l/CYWTVxu3V1T++C5c0JhqL8rSKXTs2opgDKEIwyjFWDbDlRQEpSORqZLqqlBRKDkCI4tOuS+E6aj/mULiMgDGqlY9KN2MeSiwm4Wndh+Oo4qFcy1gN+CkFPEegHgR4djMwNu4gn3PR3pZBTyfDimWzML0b8LL02bue7LpxaLjzN4yKez74zjOO9Ck+ouP/e4CbsWPnCACcGwTBvNGRveLmn98sBudMG+yb1vnJkb07UCjUcfNdL2DTxqoWVUm0l1y4DkWtIVFtqMSAnEeQy1JkPdMAQE8wGYHLqNbMGB27ArjnSmQzEvlMiKzHQYjEZM1Btc7gMIFCtg5CBAiRCJmHZ7fNhkcZ5s6dher42BepGNl07nkX0Pb2MqXU2QDgdi/XfaRP6ativO4pyoGOGb0dAHC7Wa+M7YHree17d7+4ZssmhgWzJ4I6XfjhcJXzppovIXmIdWsfg+RV7J0Q2LaFoyMHcBnA9wM4hILpRyCAICCQHgUhFA4DwhAIdBltAoGsK5H1KDrbGUqFOp56nqFSy6C3p4gVxy4FYwSNwIEk/h0bRhpfH5jG3GXLlmFGX989vu+PTu/tOdKn8FU5/gvgU4y2cjcAjAK4BQCe3ziEo5ZjXcaRvTVfiDD0sWvHRvj1EFUp0JAc1Xo9eOtbV15dr0++lREeeC5FxqUIuOrPnssyeA5FPisRaIArV6RAqeC45XLuP8Lx+64uFaUrJOCHDhyvhN7+5fBchrrv0mIeOz+yAJtyxRlH+hS9JsZ/UZTDOO68614QkN6hF3eWiQyk41BkPQY/EPADgVxOKR/zGaARAH6goquMcZSKHunsmjYGKXcuWHLKkf4qr5vx/wCE/imouvweYgAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzoyMjo0NSswMDowMCl3ihYAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6MjI6NDUrMDA6MDBYKjKqAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 193402000
{'hecke_orbit_code': 31525472303055577, 'n': 1, 'trace_an': 6}
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id: 193402001
{'hecke_orbit_code': 31525472303055577, 'n': 2, 'trace_an': 3}
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id: 193402002
{'hecke_orbit_code': 31525472303055577, 'n': 3, 'trace_an': 0}
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{'hecke_orbit_code': 31525472303055577, 'n': 982, 'trace_an': -54}
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id: 193402982
{'hecke_orbit_code': 31525472303055577, 'n': 983, 'trace_an': -6}
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id: 193402983
{'hecke_orbit_code': 31525472303055577, 'n': 984, 'trace_an': 0}
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id: 193402984
{'hecke_orbit_code': 31525472303055577, 'n': 985, 'trace_an': 18}
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id: 193402985
{'hecke_orbit_code': 31525472303055577, 'n': 986, 'trace_an': 108}
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id: 193402986
{'hecke_orbit_code': 31525472303055577, 'n': 987, 'trace_an': 0}
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id: 193402987
{'hecke_orbit_code': 31525472303055577, 'n': 988, 'trace_an': -9}
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id: 193402988
{'hecke_orbit_code': 31525472303055577, 'n': 989, 'trace_an': -6}
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id: 193402989
{'hecke_orbit_code': 31525472303055577, 'n': 990, 'trace_an': 0}
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id: 193402990
{'hecke_orbit_code': 31525472303055577, 'n': 991, 'trace_an': -6}
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id: 193402991
{'hecke_orbit_code': 31525472303055577, 'n': 992, 'trace_an': 99}
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id: 193402992
{'hecke_orbit_code': 31525472303055577, 'n': 993, 'trace_an': 0}
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id: 193402993
{'hecke_orbit_code': 31525472303055577, 'n': 994, 'trace_an': -45}
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id: 193402994
{'hecke_orbit_code': 31525472303055577, 'n': 995, 'trace_an': -24}
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id: 193402995
{'hecke_orbit_code': 31525472303055577, 'n': 996, 'trace_an': 0}
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id: 193402996
{'hecke_orbit_code': 31525472303055577, 'n': 997, 'trace_an': -99}
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id: 193402997
{'hecke_orbit_code': 31525472303055577, 'n': 998, 'trace_an': 42}
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id: 193402998
{'hecke_orbit_code': 31525472303055577, 'n': 999, 'trace_an': 0}
-
id: 193402999
{'hecke_orbit_code': 31525472303055577, 'n': 1000, 'trace_an': 126}