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mf_newforms • Show schema
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{'Nk2': 3380, 'analytic_conductor': 6.747358970798192, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': 1, 'char_values': [845, 4, [677, 171], [3, 3]], 'cm_discs': [], 'conrey_index': 408, 'conrey_indexes': [408, 437], 'dim': 20, 'field_disc': 689201286779172413066157490176, 'field_disc_factorization': [[2, 28], [3, 10], [7283, 2], [28631, 2]], 'field_poly': [1, 0, 78, 0, 1263, 0, 6176, 0, 11441, 0, 10466, 0, 5353, 0, 1604, 0, 279, 0, 26, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, 78, 0, 1263, 0, 6176, 0, 11441, 0, 10466, 0, 5353, 0, 1604, 0, 279, 0, 26, 0, 1]], [7, [-8, -60, 141, 334, -328, -278, 166, 46, -24, -2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014742140420941, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 65, 6, 1, 4, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '845.2.f.e', 'level': 845, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 13], 'level_radical': 65, 'minimal_twist': '65.2.o.a', 'prim_orbit_index': 6, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{10}q^{3}+(\\beta _{3}-\\beta _{4}-\\beta _{8}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '845.2.f', 'trace_display': [0, 4, 0, 4], 'trace_hash': 979993173257557227, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.028', 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3380, 'analytic_conductor': 6.747358970798192, 'char_conductor': 65, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': 1, 'char_values': [845, 4, [677, 171], [3, 3]], 'conrey_index': 408, 'cusp_dim': 154, 'dim': 134, 'eis_dim': 56, 'eis_new_dim': 40, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 343630938957, 'hecke_orbit_dims': [2, 8, 12, 20, 20, 72], 'label': '845.2.f', 'level': 845, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 13], 'level_radical': 65, 'mf_dim': 210, 'mf_new_dim': 174, 'num_forms': 6, 'prim_orbit_index': 6, 'relative_dim': 67, 'sturm_bound': 182, 'trace_bound': 6, 'trace_display': [0, 4, 6, 4], 'traces': [134, 0, 4, -114, 6, 4, 4, 0, 0, -8, -4, 8, 0, 0, 4, 82, -14, -18, 4, 6, 16, 0, 24, -4, 2, 0, -56, 12, 0, 64, -12, 0, 0, 2, 28, 0, 44, -8, 0, -60, -2, -32, 16, 12, -24, -8, -28, -72, -26, -36, 0, 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-168, 0, 0, -240, 20, -600, 0, 0, -36, 304, -4, 100, 176, -12, 144, 54, -148, 20, 240], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44323347
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 408, 'target_dim': 20, 'target_embedding_index': 6, 'target_hecke_orbit_code': 18014742140420941, 'target_is_minimal': False, 'target_label': '845.2.f.e.408.6', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44323348
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 577, 'target_dim': 20, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18015085737804621, 'target_is_minimal': False, 'target_label': '845.2.k.e.577.5', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44323349
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 488, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022559870452557, 'target_is_minimal': False, 'target_label': '845.2.o.g.488.2', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44323350
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 188, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22519303840465741, 'target_is_minimal': False, 'target_label': '845.2.t.f.188.2', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44323351
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 418, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022903467836237, 'target_is_minimal': False, 'target_label': '845.2.t.g.418.2', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44323352
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 268, 'target_dim': 20, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13511486110434125, 'target_is_minimal': False, 'target_label': '845.2.k.d.268.6', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44323353
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 258, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518960243082061, 'target_is_minimal': False, 'target_label': '845.2.o.f.258.2', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '13.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 44323354
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 258, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18015360615711565, 'target_is_minimal': False, 'target_label': '845.2.o.e.258.4', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '13.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 44323355
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 268, 'target_dim': 20, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18015085737804621, 'target_is_minimal': False, 'target_label': '845.2.k.e.268.5', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 44323356
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 28, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 1305703612481, 'target_is_minimal': True, 'target_label': '65.2.t.a.28.4', 'target_level': 65, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 44323357
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 188, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18015704213095245, 'target_is_minimal': False, 'target_label': '845.2.t.e.188.4', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 44323358
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 33, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 962106228801, 'target_is_minimal': True, 'target_label': '65.2.o.a.33.4', 'target_level': 65, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44323359
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 408, 'target_dim': 20, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13511142513050445, 'target_is_minimal': False, 'target_label': '845.2.f.d.408.5', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 44323360
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 163, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 3917043728969, 'target_is_minimal': False, 'target_label': '585.2.cf.a.163.2', 'target_level': 585, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '39.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44323361
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 28, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 6390944891465, 'target_is_minimal': False, 'target_label': '585.2.dp.a.28.2', 'target_level': 585, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '39.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 44323362
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 657, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022903467836237, 'target_is_minimal': False, 'target_label': '845.2.t.g.657.2', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '65.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44323363
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 427, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22519303840465741, 'target_is_minimal': False, 'target_label': '845.2.t.f.427.2', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '65.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 44323364
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 93, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505180208890181, 'target_is_minimal': False, 'target_label': '325.2.x.b.93.2', 'target_level': 325, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '65.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 44323365
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 577, 'target_dim': 20, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13511486110434125, 'target_is_minimal': False, 'target_label': '845.2.k.d.577.6', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '65.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 44323366
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 587, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022559870452557, 'target_is_minimal': False, 'target_label': '845.2.o.g.587.2', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '65.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 44323367
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 2, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 962106228801, 'target_is_minimal': True, 'target_label': '65.2.o.a.2.4', 'target_level': 65, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '65.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 44323368
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 293, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504836611506501, 'target_is_minimal': False, 'target_label': '325.2.s.b.293.2', 'target_level': 325, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '65.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 44323369
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 427, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18015704213095245, 'target_is_minimal': False, 'target_label': '845.2.t.e.427.4', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '65.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 44323370
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 7, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 1305703612481, 'target_is_minimal': True, 'target_label': '65.2.t.a.7.4', 'target_level': 65, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '65.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 44323371
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 357, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18015360615711565, 'target_is_minimal': False, 'target_label': '845.2.o.e.357.4', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '65.42', 'twisting_conrey_index': 42, 'weight': 2}
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id: 44323372
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 437, 'target_dim': 20, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014742140420941, 'target_is_minimal': False, 'target_label': '845.2.f.e.437.5', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '65.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 44323373
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 132, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504836611506501, 'target_is_minimal': False, 'target_label': '325.2.s.b.132.2', 'target_level': 325, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '65.48', 'twisting_conrey_index': 48, 'weight': 2}
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id: 44323374
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 437, 'target_dim': 20, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13511142513050445, 'target_is_minimal': False, 'target_label': '845.2.f.d.437.6', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '65.57', 'twisting_conrey_index': 57, 'weight': 2}
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id: 44323375
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 357, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518960243082061, 'target_is_minimal': False, 'target_label': '845.2.o.f.357.2', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '65.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 44323376
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 7, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505180208890181, 'target_is_minimal': False, 'target_label': '325.2.x.b.7.2', 'target_level': 325, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '65.63', 'twisting_conrey_index': 63, 'weight': 2}
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id: 44323377
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 262, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 3917043728969, 'target_is_minimal': False, 'target_label': '585.2.cf.a.262.2', 'target_level': 585, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '195.152', 'twisting_conrey_index': 152, 'weight': 2}
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id: 44323378
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014742140420941, 'source_is_minimal': False, 'source_label': '845.2.f.e.408.6', 'source_level': 845, 'target_conrey_index': 397, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 6390944891465, 'target_is_minimal': False, 'target_label': '585.2.dp.a.397.2', 'target_level': 585, 'twist_class_label': '65.2.o.a.2.4', 'twist_class_level': 65, 'twisting_char_label': '195.167', 'twisting_conrey_index': 167, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1400025
{'charpoly_factorization': [[[1, 0, 78, 0, 1263, 0, 6176, 0, 11441, 0, 10466, 0, 5353, 0, 1604, 0, 279, 0, 26, 0, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 2}
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id: 1400026
{'charpoly_factorization': [[[16, 144, 648, 796, -55, -1540, 8168, -912, 364, -3772, 8128, -3800, 958, -300, 616, -304, 76, -4, 8, -4, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 3}
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id: 1400027
{'charpoly_factorization': [[[9765625, 0, -3515625, 0, 515625, 50000, -15000, -6000, -22650, -480, 7346, -96, -906, -48, -24, 16, 33, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 5}
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id: 1400028
{'charpoly_factorization': [[[-8, -60, 141, 334, -328, -278, 166, 46, -24, -2, 1], 2]], 'hecke_orbit_code': 18014742140420941, 'p': 7}
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id: 1400029
{'charpoly_factorization': [[[256, -10880, 231200, 3289192, 21680561, 35793616, 28952192, -3793488, 1643724, 3067632, 3098560, -672160, 77654, 15024, 20096, -4720, 556, 16, 32, -8, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 11}
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id: 1400030
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 18014742140420941, 'p': 13}
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id: 1400031
{'charpoly_factorization': [[[1168561, 22378862, 214286402, 363680406, 326215005, 171802520, 62490568, 22597312, 12747202, 6398084, 2157676, 493836, 164914, 75512, 25288, 4464, 797, 286, 98, 14, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 17}
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id: 1400032
{'charpoly_factorization': [[[1583721616, 3809113936, 4580776328, -1385600468, -1601671, 228365048, 1160020608, -710002592, 215427604, -4612008, 4621936, -3572040, 1341742, 27944, 9600, -6464, 2228, 56, 8, -4, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 19}
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id: 1400033
{'charpoly_factorization': [[[144, 720, 1800, 12348, 164113, 984056, 3398288, 6910716, 8275668, 4484152, 1012328, -177028, 149174, 57128, 12032, -2764, 676, 152, 32, -8, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 23}
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id: 1400034
{'charpoly_factorization': [[[206213167449, 0, 2551463464506, 0, 1641823315357, 0, 408594473912, 0, 50679284690, 0, 3524388668, 0, 144311074, 0, 3491704, 0, 48149, 0, 346, 0, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 29}
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id: 1400035
{'charpoly_factorization': [[[2166784, 14602240, 49203200, -45220864, 317008128, 1365233664, 2473766912, 2175176448, 1058401664, 187005312, 8238080, -315200, 3495856, 416544, 5408, -12992, 6072, -104, 0, 0, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 31}
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id: 1400036
{'charpoly_factorization': [[[-67143, 251220, -315755, 149268, -2266, -16744, 2646, 476, -99, -4, 1], 2]], 'hecke_orbit_code': 18014742140420941, 'p': 37}
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id: 1400037
{'charpoly_factorization': [[[3748255729, -10823859062, 15628059218, 3650191222, 15790909405, -52094424312, 86371744824, 37685140344, 7450771906, 1066655788, 693030764, 270411476, 59495714, 8376424, 1310520, 294424, 59725, 8154, 722, 38, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 41}
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id: 1400038
{'charpoly_factorization': [[[1370772640000, -13065800176000, 62269675239200, 54606039937720, 23237213308361, 3285847748268, 732318801352, 350615201288, 116671646236, 19786484868, 2498898544, 440759528, 109143454, 18486340, 2096584, 203576, 30348, 4716, 512, 32, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 43}
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id: 1400039
{'charpoly_factorization': [[[-28416, -121344, -59456, 198464, 126304, -1120, -11888, -1912, 16, 20, 1], 2]], 'hecke_orbit_code': 18014742140420941, 'p': 47}
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id: 1400040
{'charpoly_factorization': [[[2978634160384, 1638501455872, 450657394688, 451854140672, 938935450496, 662260749312, 256514576512, 53765212096, 8410884016, 2137889376, 822713344, 169978000, 19301176, 1286456, 475072, 100768, 10713, 78, 50, 10, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 53}
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id: 1400041
{'charpoly_factorization': [[[33856, 20786112, 6380884512, -6574250696, 3389034033, 705437560, 432397472, -474586176, 298674988, 113152504, 36052352, -11552304, 2675222, 647592, 260000, -84672, 14412, 296, 32, -8, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 59}
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id: 1400042
{'charpoly_factorization': [[[909097, -168224, -755207, 162032, 145926, -31536, -7114, 2096, -63, -16, 1], 2]], 'hecke_orbit_code': 18014742140420941, 'p': 61}
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id: 1400043
{'charpoly_factorization': [[[15478905336976, 0, 749220848783304, 0, 295670730295577, 0, 41537219225484, 0, 2847851070212, 0, 107561951348, 0, 2343255070, 0, 29436356, 0, 204964, 0, 724, 0, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 67}
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id: 1400044
{'charpoly_factorization': [[[112163628352758544, 91546094624318288, 37359202640124488, 9576416034716972, 2317098069156521, 735852942828004, 237629606472984, 57549573157988, 10168663564372, 1446803743524, 212220304024, 35358247644, 5435994526, 631053772, 51639528, 2950508, 148052, 10204, 800, 40, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 71}
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id: 1400045
{'charpoly_factorization': [[[64066308213485824, 0, 22328150635406336, 0, 3152858559457536, 0, 234889331028608, 0, 10171828109152, 0, 268328377952, 0, 4383121568, 0, 43858616, 0, 257241, 0, 798, 0, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 73}
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id: 1400046
{'charpoly_factorization': [[[7586504765095936, 0, 5385471164325888, 0, 1241871864168704, 0, 134326970823168, 0, 7680125227520, 0, 243260666240, 0, 4371796960, 0, 45175136, 0, 264160, 0, 808, 0, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 79}
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id: 1400047
{'charpoly_factorization': [[[3393024, -7886976, 7135312, -3116640, 603008, 2352, -19636, 2328, 64, -24, 1], 2]], 'hecke_orbit_code': 18014742140420941, 'p': 83}
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id: 1400048
{'charpoly_factorization': [[[329648222500, 2100183285000, 6690116205000, 12239557692900, 13945249003841, 9400242302920, 4096129094400, 1175553008768, 225768577636, 29888544088, 4064260592, 872332616, 177210598, 19661784, 996608, 45152, 24144, 2560, 72, -12, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 89}
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id: 1400049
{'charpoly_factorization': [[[28761567213630736, 0, 179732783446983720, 0, 29440834135798985, 0, 1945546301273820, 0, 67722170132420, 0, 1366513538228, 0, 16524788494, 0, 119478548, 0, 499972, 0, 1108, 0, 1], 1]], 'hecke_orbit_code': 18014742140420941, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 5, 'label': '845.2.f.e', 'level': 845, 'portrait': 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OFrgbCGDTOG9dMpS72A3kgwTjyWh4LN04bFruHkBUXD89m8DrZviNg0N2bjXMjmuZDtmyyXbFZctcOjqdocOznFV5/yeeRgwhMnYlLV580v7fL2F1uaao6DJ2Y4dlZz5mLK+QzchxcsN18zz8+8e5kd66c5e3GGi8sNFrseS13Jcj+lN0gZjOHgsUWOnule9fjh+ZcdOj2/6+iZ+c/d+tp3Rvd+7iPfbEh8Xbe/1Qy+uNQlSSxS8ktffezIi3/q1z8h/+Eth1/8L992Ri92N7Dc67C40mKx67PY1Sx2YambstSNWVxJOb8CRxYFG9av8J+/Z5EX7G1x6sI6zl5sc3ZBc2HRcn4h4fR8ysV+wsy6MS+5bsALrwRfNglUwIWlBucWNOeXBMMQksTQ8A3tRsrsdIIBTpxP6A1g5yaPdjPEWgHCZzAyXLI5ZHFFg3VSZGUAYQIWy1I3YttGj/5IIZRFmJCphsclW8asDAUnzmpSo5mbknQagsCDJBEMQ8n5Jcm5RcuF5YQgGIOXcOvVA158jWDDVJPF5SlOXQg4uwAXFhIuLCWcWYIji5bnX73Az33PMptnpjh5fh3nF5vML/ssdCVLKynLvZjlXspS37DQl5zpC5aXB/z3fxUm73pV+yuN9d9vgqkrvwL2J4VQ+MHf3uzo31oG//0P/jkvedFN/Ot/829/4U//4s5//f4PffGyfSdXdh08M5AvvbbLnq0pSaGrHXtjJSABgRAWLSy+hLOLTR44LLluzxJX7hjTaoCnJb6n8H1NuylpeZLhwOPA8Qaff8TnxMWQXhJz4FTIprkl3vKSZa67rM/zr+xyfCFhYShoBWOOnrV0e22uvVSyMk7Zd1zRaWmePgGXb7WMo5Rx6qN1zGwH9p8KUDrFkwnag1EoecGVQ0ZDyXWXpfRGKSfOdti9WdFuRayElo0zQ5YHPT58Jzx2LOWJY2N2bl3k+it6zK6LeNOtfb7t5ZY9mzuk8QzHzkxz5LTHqfOG0xdjTl9MOXJRcHIl5nl75/nP39Nn08wMp86v48Jii/kVn8WuZLmb0u3HrAxSVgaW5YHg/FCx1Eu4+cp5fvQtF2Wg2XXx/MndURjf0pza1Ww0133hsQc+wW/97p99syGz5u1vJYN/6MMf4+brdqjbv3zwPx45fv6nH37yhFpYiVgMFWeHlmsvucCv/sg8N+xpcWFxlsVui6Vug6Wux1JPs9yH5W7Kci9hqZ+w0IVTywLdHPOia5b49pdH7N7YZmUwxcWlJvNLPgtdwVLXSYTlvqE3MvRCy3CcMDcVc8kmAwgCz3L6ooeQATs3KnZvtWzdOOTCcsjjhzrcdLml1VzmqcPr6LQjoshjbtYwGsNVl4z5kztnuGJHQhha1k9L4nREpxHw9PExTa/NDXsTnjgacWHRZ9tcwO4tcMnmCKViTi+A71mEsOzclDDbkfRHAYOhR2/osdRTLK3AYtew1E1Z6Kac78LiOOWSbQO+/RULvOhKTcOb4tzCFAvLDRZWNEs9wXLXsNKPWe47cC8O4HxfcWEl4QVXnOc9P7LIZdvaLK5Ms9IPGEcdVPOyVAdbfmF5dPnPtf3T6ctf/Q+/2dBZdftbBfADBw/SbDSaZ86cvuTxx59+19ETZ3/+mYOnGEeSQQgrI8H8UHG2n3DTpef5bz+yxPWXNrm4PMviSovlXoOlnsdyT7Pcg27fsNJPWO4nLPUsF7qCswMLYsDbX9rlTS8wXLqlQRS1WO42WBn4dPuK5YGgPxSMQ0uUWNIUlLQEHjQDy8yUZeO6GO2NOXIu4snDASZp84ZbIrS3wsP7ptm1BT77QMJLrw242B3R0IokjVk3C0nsob2ExcUWL7mxx2fv67B7Czx0KMSjxetfYEjEiCePpBw73UBLn02zmtm2oBkIfF+gBCQGotgyjqA/tKwMDP2hYWVoWBxYRmnKzu1D3vTCLm9/cQSmw+LKNBeXmk5v9zTLXVjpp3QHCSsZuJeGcK6nmO+lPH/vBd7zIxe5emeT+eUZVvoteoOA/lCz0hfoxg6C1qb/sO2SKz+yffv2k+PxeHT55Xu/2VAqbn9rAH782GE2bNjgHzp8+PsOHTr0mw8//LhYXO7L0dgwGBv6I0t/DCsjycWR5Fw/5gWXXeRXfnCRGy9rsLAyw+JKm+VewErfZ7nvTkC3b+kOUlb6Cd2BYXlgudgXnOsaZmeGvPb5fW69MmHnJsVU06PXbxB4ElBEicQYgbEwHAPCMNsZc+iMxdiIOx5qEw6bXLbN50XXDYnNCnc/MsMNl3scOj+guzzFC68b8oWHAzats+w7Yflnb+ux73jApnWSzz+ieNFViqVhj6On1nHD3oi7nxyRhC1uvdpnz44xo2TA7Q8rSAVHTmumWhotYDiSGCtIjSVOAGnQvqE7sLQ7MTu2hLz4qiGvvSlhrt3gwtI0iytNlnvu2Cz3BN0BdPsJ3UFCd5DSHVqWhpLzfcFCP+GWK+b5hR+c5/rdDeZXpivg9ugNNf2RojcQxKZhLrv8Orv70j0/dumey/5gYWE+umLv3w6Q/60AeBzHMopGb3novtsu6w2S9zz44MNeGMM4gtE4YThKGYwNg9DSHwm6I8HFkeRsN+HWqy7ySz84z017fFZ608wvd+gOGqz0fVYGmm5f0R1Cf2DpDRPnDowM3aFlfiCYH0Cchlx/+YjN61IGQ8sbXxiya7MhSSVaWqIY7nq8wcmLDbbMJjx1pAGmxZXbFTdeYQgaQx4+NGR+oc01u9pMzSxz3xMeN1/eYHG4wvLyFJs3Wx7Yp/iuVw14cJ9m+0aPhUGX5aV13HjVkPueSlnXnOGaywZc7HZ54JkZmrrN86+w7L1kDHLA48cEG9fFXJiPuftxj3GskBJSY9m1JeK1L4zoDxRbZw03Xg5R1GKp22KpG7Ay8OgNFd2BpDeA3tA5Jf1hSm9oWBlalkaSMz1BdxTyor3z/NwPLPP8y93F0e036Q0duPsjB+7BSDIYCfrDlOE44cYbb45Tq/79O771LYfbreanPM8z32xsfdMzmUk0wCTD7zl34uFfXbhwcN2588t02hIVukARq1w6XgDCWYBCWKS0SKl58OAmfvJ9mre9aInveNUSu7dFnF+cIvCbNAOfVuDRbmr6TUln5DHd1gzHKYNRyqbQMAot/XHA0nyD06csUWI4cz4hCCwg8JVFS8FwpBB4JEPN83YJ9my1XLJtSJj2ue1Bxf7Ds7zupoAbr1rmg7dZfNFi17YhT9yn2DajWD81pKGaRLHHxT60G5rtmwSP7Y+4cW+Tl9+wwAc+PcL3OrzmFosXDPniAxGfvb/NM8eaXLq1xa4tKRtmI3avj7l2V4pSBq0sYGkFARtmAqLYoz/0eeqQ50oURorBWDIYwWBsGQzdZ++PUgYjS29kWRnB/FBxYdnSmu7yz98wzz98Ucj1l7Y5tzBFd9CgX4BbMRg7cA/HglHoCCBO4O57H/DanXW/um79pqVXvvSWf9XtDT8wPdX6PxfgSTQAIX7gwpl7f+nEoTvXJeMhrUaAEBKR/Q8UCBAiRQiQwnXSKGlRMsWXkicObeDRg20Onb3I21484MVXj5npTLHUbdHuNZga+QyyJXUwlozGmmGoGYeWcWSIYkscW5LU3aPExxqQSuBpQcMXzHQEsx3YvN6wfdOQ9bNdPvcw3POohzTTvO4mj+dd2efeZ2Ki8RQvep6gOxpxcbHNrXsN62eGNHXAOFHM92KUETxvr6bVCXnkQIOX3TjNC6/v88gBBXaam672+f43L/GFxyI+/2CbfScbXLJBsXldk9lOi+kONAPwtEVJMBb2HROkqSBOBFECYYz7jGHKKDSMQ8NwbBiGhsEIeiHMDyQX+xCaMa++YYm3vLjLP3qNIUmmOL/Qpjdo0B/5DEYeg5GiP1IMx8KBe2wZhoZxmGa/O+XsxXOcOPe5db2h+S/f9paX6W5/+L7pzjcP5N80gIfjJSzm++dP3fVL547dsZF0QLvVQMi0+BlXtikQQiGEQEoycINSFq0snjI0PcHCsMmH7tzOFx/t8dJrV3j3q1e4dveAuZkWiyst+qOA4cjLgK3cPRKEsSROBEnilnpXu+WCSq2h4UOraVjXidm2cUjCgENnYj58d4Ojp9rMBE1uvlpz63U9HjjY5Y6vTnHL5Q0u2TLkT+4UKBEw1YlZGYQYC0rAhqkhvb6PSZq85aUX+dBnW+y50OBNtwyJ4kXufnKOOG3wgqs38qabe1y+o8sXHxnyxKkWjx/z2b5Osm5K0AoEvucuQilACIuxYIwlTrKLNbaEsbuQxxGMIuiPBcuhYKkPQo+54YoV3v3aFV56dcrcVJPlXotuv0l/GDAYewxG5UowDCWjMQzzC2fswD0KXbCbWsX5+S5/+OHPb0xT+0vf9uaX2AsXl39/08bZ/zMAHl34L8z3LqV/4ZPfG47H71m68NR60hUC38faFGPBWhAivwsHbiFRUiNlilIiW54NnrIE2tLUguWxYrE7y0fvanP/UwNedP0K737NCjfs6TKXNkmSgOG4wWDkMQo1UayIE0mSSlIjMFa4LKiwBL6h1UgI/AjfCzmzGPLphySHT/scOz2LMgF7tvhctVtx05U9VDDPk0c6bJtpcc2lsHnDMku9Ka7dJkmM5XMPBoRDyUw74fUvGPOpu2NOnu9wxWUe51bGPH3UY8emWa7fPc+9T/S572lBGPlcuXsdV+4IuHJ7nyPnljh8Bh7c3+LQ0TYtLQi0pB1YGh5I6ZScte5iTVKIEohSwSAU9MaCXgyRSTB2zPMv7/Hu1/Z46bUpW9YFjMfTLHYb9AcBg7HPcKQZjBXDsWIUCkZjySh0faPjMGUcZStDlF9AljB2ID97scsHPnLnxn1HL76n1Wknv/57n/rgXfsX+Mh/+d6/vwD/N7/ye3gb/wTZ+5Z/JMLj742752Y8qaHhoeI4+ymLAKTI7lIgpUQrgVIKpQRaGbRK8bTA1wbfswSepeWnzDQE/dBjuTfLx+6Z4s7Hx2yaHfKuV3S5cseY8WjANbstOzYrwtgjTcs0v8AipcHTKScuWI6dF6yMDJ+8t8WZhVls5DHbUGyd0+zcrLl0G1yzp4eRC/zup9osLU1zy5Waa/Z0+eLjApF4bJyVtFsJw9hHWglWorRPdyy4sCS42rZ4xU19vvJIk63rfW65Zh3/5M0L/MFn+zx4oM1g7LG40mH31iZXbBnygr19vvVlfc4uLfHJewMWhwEnznmcOePjKXesBAJjLamB2FjSxDA7F3Pd1UPCMObKHSHveEXIxmnFuk5AHDc4N99gOPIZhm6VGxXAlg7coWAc4oAcpowjQximGbjdfRTBKBaMYkFoFQfP9HjiL+5ff+nuLe+95YZN8Uf+y54/vXj8v7Nx17/++wfwH/2FD7PtxneK7/5x+c6t7Sd/79tf8kTr6l0BvWGLcWhQ0rg4UliEdFpbSIuUzilQUmbgdmDXWuDpFF8LfM/Q8CzN2NKKLNONlNmmYBhJ+lGbY6fb/MqfrgOTIJKEm64bsntzRJKAsQZrXRJHCoFUAu35HDjps+9wg3ZD0/El61uCDXOSjes0Wzcodm5JuWLnCqlY5Nc/PsWJkzPcstfjyl0po6TPV58MmGl6zE1bZjoRraaTQsZIumPF0sCy2E3pDpq85JoVHto3ZP9JxcxUgxdcPcMPvmWR3/gEPHK4zWBkWelrLixNsXl9i42zY3bOjfm37xwy1eryxDE4cErieRalLEIYwLr/W0gS2LU55UXXJqSxR5wEWNtiHHmcX/AZhW5FG0eqkG+jSDAOBePIsXYYuaxsGBrCyDCOTfa1/F6CexAL+rGgG0M4jNjee2TmrTdt/L1fuzCfaP1PPrp8smVnL/mnf38A/nP//c+47pIpdcdX/ujtR07Of/CP719sPLF/il/5kS57L0nxhk1G40bmjOQBpIdS1j1XKtPbEk87zel7itCThJEhiFLC2NKMDWFsiCLLVAJhbAgTiBLBOJaEaUCcNth/uM3j+yG1Fgdtp409Cb5yNR+dAK7ZAlNNmG5LZjuKuRnNxnVwyeaQLRtWiO0Sv/7xaY4cnebGSxWXbpfs2b7Ml55OuLA4zU27JbNThoY/IpABVgmSVCKsJUkjlgcNLix63Hhlk+ft7XPvIw02zQpajQ437jX887cv8t5PGJ4+02FlYFjpK+aXNetn2sxONZmdmmaqFbOhHbPzxojAS/B0glIpUrhgwuIuqjhWXJzXxIkiThRRrAjj7DGShLEkjCTjSBJGwgWokSCMLGHkjmsYpURRpulj9/VxBONYMI5hGAv6kaAbC/qRJQ1HPG/nEr/4w/O8+qpzrd6y/8GIj5hBcuXHT+z7YLrzqr95ufI3DvBf+rU/o90K1COHL77j3KmzH3hq/8mG6kxx24POAfi5H+py1bYULVOkTCsAtyipUdLiKYunFZ62eJHE94Q7CZ4g9BVR7IAex5YoSZ0rklTuKSSpJU0NqcHpbUMBbiFASdASPA8CLWgEglYgabcU0y3J7LRg47qEnZuHdNorfPwrEXc/uY6VhSmuu0Sxc4vH5TvGpGKFzz3You1pNswqOq0xTx6BZ45qrt1hGYaK6y+PuW6P5fy5lPlln9G4xRtu7vPlJ0YcOqNoNyWBP8W1lxp+7nsXuevpEZ+6az2LPcvOjSnLXc3MlGK67dFpebSblkZgCHxDoFO0ckQhs9ZKa3EJKyNIjCRJBUkiiBNJlAjiWBLGznmJYkEUW6IIwjglig1RhTjCuHp34B5l4O7Fkm4MozBBJCNu3LnEz/7gIm+4Gbr9Kbr9Y41ETf2RChr/2Hqzf370qT9OL7323X+3AR4nVl5Y6H3HoSNnfuvpfccb6xoeJpIMbIe/uk8QhYp3vLLHO1/VZ3YqoT90YNc6RWsPT6d4WuPFmkArxp5jmtCTRL4gioU7ObEiTiCKpXMQktL2S1JDmjp3IbWZU5K5Jbk7o6STPb4WBL6kEUjaTcFUyzLTMWxaF7Jhtk9iV/jolyV/8Nk5NjYaXHeJ4JItHru2GnZuWebjX7UsLTW4crNidgo6rZgLxyUXlwP83RDGgg3TkpkZOHTMstwznF9ocPmuBq+6qc+n72kw14HA91Fyhmv3CH7oTRfx5EX+6t5ZnjnTYFMvZuNMwnRb0WkqWk1JM9AEPgQeaO0cpjyOKUCOu7BTA2kqSFIyoEOcWqIE4jh1pBAbovwxNpntmLsymQWZlJKkl0j6sSEaR0wHPb79DYu88xUDXn0D9AYdhmGDOA0Y9I41go76veYUWkrvz3A883cT4L/6239Jasz3PvHQ0f+2/9CpKd9TmMQyoy0WzUi0+dxDiq8+3eDc8iL/7O1DZqcSxkFCf5igtY+nPTzt4UcpkafxIydNotil0h3jCMdEGSslCcQppKlzEoxxAZcxNu/hzMDtAO60vcDTDiCNAFoNQ6eZMNNJ2DAzYv3sCl/ZH/FHdzQ5cGyGXdMeezbD9s0+2zfBFZf0GCY9Htg3RVN5bJhVzHRgphMyO53g+xoh3MU1Cn2WejErQ0t3kHBx2eeSzR1eeOVF7nhwyIEzU7SCGE/5CDHNnm2K737NAs+/4iJ/dEeHB56aYXGg2TiVMNNKaDUkzYYi8ASBJ/E8F6soRWYfOpRbXA+rMRRAT1KTrW6ZtZgYktSBO4khSmx5j50rM04cqQxjQS8R9BMYjxNMMmKu2efHvm2Bf/OdQ1pBQK/XZBQ2CCOPONEgNIOVY1PWml9fv/ka/9yRj/zBlj3v+rsH8MWlLkrJH/jV3/74Lx07fnou8FxNR64MERYlFEPZojtW/LePeOw7ssxbXjbkFTf02bQ+pN9rMtI+vucT+B5hpAl8Z+/lAI9jSZS4ZTdOMk87JbP+yJhbZvZjBm6XpMyYG7Rycsn3LA3f0GwkdBoJs1MhW9b3uNAd8puf9PjcQ+tYWm5z2QbBJRsF2zb6bN8o2L11jPZX+NDdmqOn2uzdJJntSKbbKVKGnJm3BFoiBVgriGLNzo09HiSlN1Qs9ywXlprs3d7gW1/R5c+/6HP8QoCnY4TwMLZNnEhu2r3Mzu/s8blHhvzJ59bx8PE222YF69sp7UZKwxcEnsD3XKyiFS5wlqKoybC4i8xYnNOSOsDnIE9SJ+kc2CFKXa1LlCePEsEogX4i6ScwigzpMGT7+j4vv3GZt75syBtvNmjRZmm5QZT4hJFPGHtEiSZJFGkKveUzc82p3e+55MpvV2HYfV/wN1RT/jcC8KWlFXxf/5NP3Xb3Lz35xFMbm57F4gqDZJGNFGgBnhD0RYNupPnQlxrc9USfG6/s8Z2vGfKmW7rMzQSMxgGj0CfwPKLEI4p1ESgliSJOJUkiiVNBkkjSVJAaUWptIyhUSeaxS+GSRSpLFvmeIfBTmkFCpxmyfmbAKB7xxSctH/7SNA88NcOs73HtNsuWdZJNcz5bN0i2b4q4dNsyTxwf8ckvb2BaaTZMC6bagqlWTHeY8tmvNuj4FiEcsEah5i0vCvnM/a4mpjswXFzWbN/Y4W0vHvDA/j77Dvm0gwQlhQO5aTGOnNb/7ld12bvlIh+6q8d9z8xwcrnJ5inBdMPS8g0NbfA9nLUqyRJk7nPn5Ucmk2rGlCtckgHdEQTEqSBOM2CngnEiGCaCQYqLeaKIdnPI2163xHe8psdNe1M2zXqMxm16A58oA3YYe8TZOYtTSZpKTGo5efzARiPv/aVde19mRsPu+5utbzzIv6EAX1lZoTcYoLT4ni/c+eX/+pnbvjg3HKzQaSgS45jBBY/OtVACtLQEUtBXHkNPcboXcPb+Fvc/OeDPr+vzjleNeP2Lxqyb8YnCgDDxiGK33OUHLUkVSZolbNIS4MZmzG3KmjIhbBZUujoOrQ2+lxL4Mc0gotMckTLiC49I/vTOGZ46No2IA3bNWrbMWNbPKDas89m8XrJ1Q8wlm3ucmu/z259qk4RNtm8XzHQ0U22YasUIL6I3ajPTsQghsBbiRLIuUCQmoR/79Icpyz3FmfkmV1/a4Yf/wQrv+bOAE/NttIqzC0OTJA3GkWTzXMBNl/W47tIBT584w4e/1OSOh2c4223SDhQdH9qexdcWT7ljrGQmySrnywDWuIsuNYLUQpIK55+ngih1SaJRKhilMEosSZJg4pC5xog3vHqFd726z0uvjZluekRxm+VuQBj7xIkmijyiRBHH2j0mjoiSVBKnkqg3YGnl7o2jUP/XPVe8IJmfP/uHjUabTucbB/RvKMBHoxFT7fZbH3zw4d/4whfvnBqPenSaOlv2BCqxJJkskCJLh6fOngtSQ1MJhspnmGguhg3+6v42dz815AWfH/Avvq3PVZf02DijmGppotgnSjySpAR5mgPcSIyVWOskgS0CyizVr6xLFumEwE/wVERvFDPfi/m1jzc4dnGWR/bNYI3PXFOwcb1l/bRgbkoxN+OxaU6yeS5h24YhczPLfO5Rw8PPzHDddsFsR9JpSaZahnYzQnghQaDRyv19ayFNJaNQMxrHJEbQHxn6A8tSz+P84hS3XjHghVev8KHPN2guKbR0STBjNUnqE8Wux3P9TIPn7xnw/MsGPPjys5yYl/zRHTNcXGlxejHAV5K2J/BzGSbdCloQeS5VcEyeWEFiIDaCMIVxApGxkCaQxEgVsnV2xHU73fm4+aqUqaYmSdp0+w7YSaIzAlLFSuvcGkUcV6RkKoljwag3YOGrd81Fif6Nq665YTkcjz75jcTkNwzghw4dZvPmzepP//RDlx04eGiq3+vSburMsgMpLUoKVAoqsQW4dSpcuj2xBKmgpQQjJRjqgFHqsRg1uePhab7yzIh2EPKP39hl+1zCrq0jbr2mjxauRUwIJ1dcVtLVSltbYW5c4kgJ55lbEpAJTx+TPLRf8+kHOjx9skOUtOhoxYamZV3bMtuyzgef0qyb1szNCDavS9i6YcSWDcvc/VTI7356I1tmNBumYKqtmGoLOq2EZhDylYOKcaTx2g5U1gqiRNLQihv2jrj/yRlX+DRKWel5LKwEXFiY5YffdIHTC4vc/9gGPAmIGAMFgMJIMhhpZjsNZqbavHDvkJdfN+Q7XznP/lOGzzzQ4IH9TQ4ebZMITRgqhrFCCVmUP0AeeGY5AWtIjMUagydSpv2IBjEvvHHA7i1jtq+PeffrQ5q+pN30iKIW3b6fraQ6IxxVeO05uPN7LiPzWCm/D/tdHnn43qmF+fOXveFb3qGOHT2S7r50z98egO/fv4+5uVn/kUce/j4w/21lZYnA1yQGwDjmzJhb5UBPcBIhtegEPCnQxgG9oQStVBAaGKceo9RjmDbo91P+64dmsUnMpg1jrr5kzNx0wjteNeKSjRFxLDK9LaHC3GT6U0qDkIKP3dXkiSNthNacONvizIUWjaZiOhDMtC1TDcNUAzpNwXRLMdVRzHY0czOwfiZh09yYbRt7pHaFj315itGgzeXbLVMtRacl6TQNnUaC50V87v4G4VDibXTdorlEaTcVb3jBiHseNQxCyWCU0htqVvqa84strtrd4R0v7fHI0y1OLHVQ0gBxppc94lQRxi4xMxhrugOfTrNFuxly1fYxt1wx5tTFLsfPraC9lMePav78Sy2EcoVrTM4ftAYwYC1xlLJzU8K7XjVi/VTKFTstm+YgTTzCqEOSeCz3PJJYEac6i4MUcexW0jhRGZhzYIssThJZnCQyoDuwGyuYn19iw8bkvz326CPDHTt2/sGB/fuiK6686m8HwE+fPs3CwvzeM2fO/OajjzwktXL1EDI1CCGRwlaSNyXQtRHoxOnEOLV4KSRKEKSWhrEkqSAyligVhEYSppLIeMQG5gdTfOkJgyXlLx9wIxuwJrsXXk12MvOKRIlUiiTWSKPxtKQTwO4NlrZnaAWGVgCtQNBuSjpNJ4emO5LZKZibTtgwG7J1Q5+UZX7tLxrc++RG9szBbCtj75ak00xoNSParRHNZotASZTMNDhODsSxx3gkGIUp/VBlXUvGtcy1fU5fmOYlV4f883de4Ff/XHNyJUAIg7UxJrXEiUcUS8ahK2PtjDTthk+r2aAVtGgEMZ1mxE2XR/hezM2XJ7z71UO0SrIkkHH19lVRnkk6YyRCSAJPAT7jULO4rF3dTprHPNk9kWUMNKGxczmSpKJILiVpCfIkdXXk7ucsDz70oDRW/uZoNPzyeBw+9Y3A5v9rgN/2mU/SDHTz+LEjbz90+JDwPOWq8oRBSIkQljRrUFDKOnminDxJUqcNkxR06nofkzyiT7OoPo/sjShfG0FkJImVpEYTm4A0s72qtyJLKUAL4TKVChpNS0NbGiol8CDQ0PAtzUDQ9CWtpqTV0A7gbcFMx7BuKmFuJmTjugFbNy7yu582/Mkdm9gxo1jfMUy1FZ2Wot2CVjOl04w5t2g4ci6g4bsLGvJKP8E40uzebNi8fkxv7DMa24zFJSt9TafZoNOa4d2vvsjRc+f5vU9uQ0uNxZCa1AXtiSaMFKPIFUUNG5LWWNMMPJpBSrfvYgzfS13CzHNJNKWMyxoLmwXdWd2KO2IZyAVdk1VZGhfXpKnEGEliynjHgTcP8PPnlccM1OXdJZniVJBmAHfn21VzPvHkE2IwGL79kp27jvzlJz4x+odve9s3F+BTHe33e/M/sbJ84SdsGkrfc/6zlBKZutLTVDqApyar5U4FaSZPEgM6dX51micfjM1e2+Jr5fOyUs55uaIIlKqaG6hYkqClQUuymhbwlMDT1vnGWtAIJA1f0gwUzYai05R0WpbpdspMJ2HdVMj62SGXbFrkgYMhH7prK7ONgE0dw1RLOHA3Je2God1I6LRCHjgAj+9vcdkGm+neMm0+ChU3X2G5/JIRDz41wzC0jMYpg5HOQO7RajRpNmb49pct8fjBi9y/bzNYhTGpK4dNLElsi3qSUahpjS3NhqLhGwLfI/BTAm3QOsXTrsRYKVcOIaU7PwiLoNRzZXDuQGdyR8rk9mvFis2BbRyAy9d5trS8OwLLHiv3/FwbI+j1R/L0mXP/UXpNv9Vq/QIQfdMAPhyNZDge/+xtn/6zf7W8dM4PfF2CNHXVeUpakgLgDtgqSyqkyqJN9tw4n9ykFM/TPONm88ybxWSZuDxZYa2lknmvrbhlyW0ui7KMpaJStOWyf4GvaASKZiBoNQWdpmWqlTLdTpjphMxNj9i6YZn7D4z42Q9s4uTpGS5db5hpwVRT0W4q2g1oN1KajRjfG9MdW5RUeMoiZfnOUuMYLk58ppoxw8QwzOqsh+OU/lDSbSpa/YBG0GHX5pif+74u/+mDkq/u24RFYawhTQ1JmhAlhihWjCPFKJA0Q0XDlwS+JfAVgTZ4nvP7tbIO4CpbVTOZIoStN+hmqX2bkYjNalnSDPCpKR8dQGX2KEqAZ88doDP2zpJv7gKoEFlqs/jCcuLUGT9otP/99/3jd3vj8eg/NBrN/+10/v82wEfDHtZEv/DkY1/+vy+eP9UIfInFOnY2DlCpdFeskoJE5UC2GOnAXXyw/LkRGGOLNLIpPFqwxrou8qwEtHpnAuBls0QGbuHArZSTRDprRfO0JPDdAKBG4EYyNANLu2HotFKmWjHTnYh1UyO2bljh/v1D/tMfrOfAyXXsXOcclk5T0m5Jx95NS6uR0mrExGnEH3++g1QKT1qUKG1CY/Ml3OO7X7fM7Q9H9KOAYQbwwUjRHyi6gabhBwTeFFfsSPj571/kZ/5AcN9TmzBWkhqXVo8TV2gWRoaw4cpdg0DQ8ASB7zKbvrZFxlYrg1Q2s2uta5TIAV6mPAGK7LM1InNbskA+B3A2dcAUyTUydqdYcfPVuQS4LR9zTJjy0VrJ0WMnGl+48+5/+brXvEp0u72fnJ6e+v8vwBcuHMVY88IzJx5p+irEKpmBtyzmSSUoQ/YoSKUgtZWrNbUYlcsP9zVT1EqU7VcO6MLVUeSgzg/8xPvKAZ7XYOSZvJy9tc7rTiSeJ139hi9oBG7mSStIaTcduKfaETNTIzbMdHlg/5Cfff86nj6xnu2zgrl2RZo0NO2Gq19pNhKaQYTnhZxZnMVTwtW6i0zfkq1GqSRJFFtmLUkS04sbWaeMYTRO6Y8lzaGi4Xv4XgNPT3Pl9oSf/yfz/NTvw/3PbCQ10gE8tcRJmjG5IQwMjUgy9lUhwTwPPJ05V0q6OEiSyRRc7b0oj2GVNKzNMsEmY/VcHmbJoTxbnKaVr5tScqYVYBtTnu8qa5fPXSw1HI/50j0PNbdt3/lCKeXXxOM3FOCHnvosWo5bTz56uy/MMq1mWdhUfCiVfbAM6MZWXzumTjXFB6sDO5chtgC6zeVI/vxZ3psUZRGVlK4jKAe3kjJrlMjlCTQ8CHxDs2FpBk4/t5oxU62ImfaI9bNdHj405mfeN8uTJzawdUaxoW2Ybgo6DUmroWg1Bc2Guzhcqj/i/n2CwdinobLElnQaPG9CSI0gTjTthuLWa/o88PQUw9jJlFGYMhwp+oEi8BW+52f6eYardhh++Qcv8uO/A/ft20hsJLExWbN02YMZ+pLAN469vbKOXqv8TiZTShknsyzvWiDPk0I2B3gG+LRwXlhz5TWFvrZ1YFvWBrexRbnA2fPLfOBPPum/8+1vav3Rhz4z/O7v+Ja/eYAPVo7Qmt4+c/Dxj/+2sMOX+SpB+IokNYU8SbPAIZEikx8VoKv8ILifNUqszdoVQJsC2GVTMJn2Lk6GcAVFQmbgzoqMVAFwUFnFoKfB93CdQH5WYBWkNDN50WmGTHdGzHZ6PHY45GfeN8vjxzeyeUazoWWYbkK7IWg3Fa2molWwd0ojSOi0xtz9uM9Kt8HsbJkmzwFjMm0ap4qNc4pXP2/A3Q8Z10UTmQrIJQ1P0vA0nvbRuomUhqt2WH7pBy/y479jue/ARmKjibMKQFf26pg8iGVRXehridZZEZYUKJ0fG4r3l1+EuVQReVUaZUJo8m4qj8ZUHouVty4/ciCXryE1pqLFczljCeMU3R297Kl9x37/R/7Jt/3IjfuOr1x31a6/WYBHo1Mk4fkfT8YHvkOaCzSCBjIR7i5FwdCpwgWTuU5TlaDRlFd8Lj/SQoZQsHctkJxk7gzpeUau0N4yr6ArdXdeMagVrj5DWzzPNRY3fEPDT2k2ElqNmHYjpNMas266yyMHQ37id9bz2NFNbJzx2NhKmW7ZDNwZezckzcCxfyNIaAURiQnpRwFCSTxVliaILJPp2C3L7MUebX/sygWiBrM5yMcpQ98xeOBLVxOv8w1oLdfusrznRy7w737LcN/+TcRGE6aCKDUZiwsasSHwLL7neld1Fne4/laRtQG64+RkiqisgO6oFhdmNdaZAHdBQhViqoK7AHL+OqV0wgpmz6WbzaxhF5geObmIbBz7jr1ffvxIGEY/9TfK4P2VUzTa23eeeua910WD03iewFiTAU0ipSSVljTNImwpKlerKMCdVmqS89FoNg8mbRmIlUxRZiVtdc3MWbsaVObLbdaho7JgSuusMygrQsqrBxtemunmmGYjZHZqyHS7z/37En7yd9fz6NFNbJjWbGimTDcsnQzczYazE3NwN4OUhp8w1Y7Yd9xy1yNtfCnxlMmCuNKjyJfvOFUkRvOKm2Iuu3TAkZNNNrQo+xzDlOE4Y2Gt0NorEmZCWK7ZCb/8Qwv81O8Yvvz0BsZx0yXDEksrq+EOPBzIdb56mUyiSKRKixVOSVEBuKiAnFV6pQS5rQO8qFAsV961Vua6kVCCv2oVx1mZrpCKQ8fO8ekvPHTd//z5H9x58MjpE3v3bP/GAzwcnMILZnYtXrjnfwwG3beOwxApfLTOAZ573pJUgamydw7qNJcjYtWSlvvDtvC0J1ySVW5JxtyT4BYWqaplAdn8lIy5fW3wPEPgGQI/oeEnNIKIViNk3fSQ5f6Qe56CX/7TzTxxeD3rM3DPNC2dpqDdEIVX7pwX49jbdwBvBiFRmjIeNWgod5FJIWqVfHkixQWa2ml5HRJGllEsKgA3+H6K72k8T6KVcr2qGcARcP1uwS//yDL/9c8S7ts/x9nuFOO2ZCa1dBJLI5s4EHg28/5zJ8UW7J1LlRzgxfvN3nQV54VCzE5KvqqW4K5LSlfNWQF7zTjIya8Su9VKdwEhCUcjlpeW3vrxz96XvuLFz/uXB46ePX7FpVu/sQDvrRxHqdYtvcWn3z5c2Y+UDWcLWgO6DOpyT9vIEtyFBFGikCQO1CJb2vKETV2KVAGeH+KqKizmplANlmwmT2xlOJAri/W0ycZMpAW4Az8D97oB88sjfumPW3zyqxtYGMyyYVqyoZGBu+F0dysLLJuBpBXYjMGd9m4EERBx52M+y7HPXECtHhtRX6HS1DU/TAWaV9045P4DEf04YLroWDf4oatV97UDuFauIVtIl6DBwpU7JL/6L3p85v4Rv/D+TZxemGU0o5nxBZ3E0EogiN3oZV+5gUZeHmhKUQTB+WM1UK9emEIUvSLF+YEJCVkFdiV+MhXw54SWVgCfVgLTIo7L5JzSigcfPcSObZvevm6m/ce9/uj4N5TB42iI9pqXnzvx5f9r/tzTCKHdh5YGgUQK45I6xmayRJbWkS2f26rWLkCdSxBb2lCTrF2VJdmBzpklTzfnLoDKAa4sWjpga+XA7ekU30vxvYSGHxP4MZ3mCK2H3P14yu9/dopP37uRyEyxcUqwvuFkibMAc59cZXeRMXeVvWO0DvnKMzMMI82WVv5+Jhk8D7IlcaJoeIoXXjUiMQ7go1i4rvW8cz00LjjUImNxdyGLLLluEayfEXzHKwd0grO8/7Mj7nlmjvNxk2FDMpVY2to6kOssDlE2i0uy4jeZH0NR1o5LkJQsPrmjYCFV8hEVTGrzavdQWXtucz1eBX4O7En7Mftdnqd54KGneOnNe/+vt77pJY/2+8NDna9jJNzXBHh36SSnDt+OF8xs7S0deHkcruD7CikMwjpQGeEGzhgrnN9daG4H3LRgbVEJJEVda5MlE2rArlgPVftK2AlpkmflyLryKSZf5cztKVeLEXgxvh/T8CJarTG+P+RP79D8yh9u5Mj8OrygweaOYF2QMhVY2gG0sw77ZuCynY0sIeTqV9JsJXDyZKGXMoh8fKXwpS0CTCofJb+w89qNKPFoemM2z4xYGXbc4JzYyRTfM3hemtl8KrM7lQN4LXB1lY9vfemAm6+e55f/aMyffG4DS0mbYeDR9iRT2tXgBBp8RdEMofOkT7byyUKqlAmgKqnUxUoV6NRWYGPrUrPU5mu4LkUSiSKZl38dQCvJxcUVvvrwvpfHSbJ1YbF76NDhk1x+2SX/LxncpmzZ+bJdSxef+d3u/DOuobVSiZYHgcaYol5B5dmuHNTZFWlNWd9Q/LvigIiKJBET0iQHty3ZROa6vwJwaVHSIGvMnWYgT/C1kySBHxJ4I45fSPi9z7T5xJfnOHphlqmWx7oGzAYpncBmqfcc3DIDtyySQo1Mewe+u3Cm2iEf/4rm0IkmjWwCV9EuRonyYoyDdTo8TjRX7oQ339zn92+bY9DSTGWzR4IoixuUQWuZja2jAnKvcq7cqnDJeslPfteQ63af5nc+vY6j56dZSpoMPU1bCVoZ0H1p3YWTuUzF6pcf19w+xOnzMtNpV/vkOTHlpROFb77aUiy6iGx1Fa9KlsrXs9/tLjbNVx/ez4tuvup33/YtL33j0lLva0qV5wS4NWMQAf35e7enw0f2BPoCWquiQKdamONAa4oTZ7JxaKVLIgpA5+C3Vfa2omCBkhVy2rY1HZgDOw9spcwBbjLXJGfvFE8nrnNHJwRBiK9D+mnEb37U5/2f2cyZxRmMarJuWrHOt0z7hlbG3K0ifS+zOpVMmmTeeQFu32Uvwzji0OmAQRQwG2QuTp50yl2JPAtrKzUpsWaqrdm9PUIFY/pRh5EvaMaWMAe4TrNEjXI+tsxLgNcKXhUbpof88FuHvP0V53n/Z3r83sfmWBi1GekGDa1oaUEzazTxs24fJUWW3SRbDe3aTM4acmXSYQFqsVQO3gqR5SAvNXomTaoXQxF3ubqeo2d63PaVA3tS3dz+ttfedHwYxrQCj2e7PSfA4/FZpJ7eoD35URl9yZvqKKxNK5FGnnqWE0CvyhFRFuvYCWBngC8ZW2DXfCe2YgfaAtg1eSKzKjmVOoDrFK1SfC+m4Uf4XkR3HPGVJyR/escUH/vyHOO0g+/7zPmCGd/Q9i2twNLyS3A3AkkQSIJMmrjEUOZMZAD3PZf5PHbOcs/DLaLYI2jbVQFmfivT2Y4IoljheZpX39znQ18YcOB0m1HDjWYIPYufgBcbvMiglHS+tXQDSYvhPpTHMzWSxEhagWbTzIh/9+1Drrok5E/u6PDQvmnmR23GysfzNA0taEoI8gFLub0qXWN4UbAmKsc/Y/LJ4qwqo+cENemI5a9rTM2zvK6WY2RYS6zHH372Ce/1r7r5o2fnu89bWB7M/+8zuNwox70nbxktfmZaENLwda0VzK4CrHxWUFdlSXHPgZ1dqVUGrxX+uB4dx+RFStkU5Z75NCytUgdwlRZyROuY7iDm3qcEH7htijsemWap20E2G3SaihnPMuUbWp6l5VuaPhlrO+ZuBpKGr2j4goZPVqFnMnAbAs/pb6VDDp6GM92GS6xk+raeOClPmOuDdCBPjCSKNJumBJfvGPHkyYRh7BFmM779CAc+lU/WzRM1ICc6c/KLJ7ch49TVh7/r1SNe/4Jlvvhonw9+boqH9k2x2G/RlT4DX+MrgS8FgcT1cEq3S50S5UWqRFb2uwaDr6pfmWTyCqHlAM6HEVVZO5ctafE8uyhw/zaxkCYJv/Vnd0+r77S3vPLmy2/jOYYHPSfARXIyUNL8Vjw60tbKIERUKaMU7gotACvrNcT5140ofj5/XVwcVcek+E/lyNWkiaVaoF/OMTTZY+oG4uduhoyZ7yfc/bDms/d2+OQ901zstRGNBl7HY0rDtOc6eZoemeyApi+yu8xKTjPd7QuCnL1zgOsE309o+BHWxtz5SMCJc03WrxN40pTTcddgu6L8NJMUo9Bj5ybBq28c8omvRgxij1EsaHgWP3EsHsa2skqpwq9GyJpMyc9H0ahgnN/eDELe9coRr715kb/8cp/P3Nvi7ic6XOy2GAmfka/RnkILgScFnpR4wmZSy6IQFWlYtw/XIPPi3JrKo8lXfVsGljmYU1zjcxXYxuYOjam5aY/vP9WOIvtbjx84fxUw+msDfKln6KejfzRevGtmduo0irzcUWYaWq4BbFmTKcWBrlwMtZMA2dIzKUxEPaCsAFsIk9mBBpEBXOsUX8c0GjHjMOXAGTh+VvHhz09z20NTXFxug9dAT3m0lKTjWTra0PQsTQ8angN3w3MzCV2ZqazcRfZ9m4HcFCD3PdeeduSs4cljAXhetszbSope1FBQDcJcvbQgSd0452t3h1y9fcD+My1GDUErEQSxJVRk1p7J2Dt3U3ILstQqhc9ucstWZdMHPMaRR7MZ8r1vCHnLrSvc/vCAj3yhxfGzDfafaRGtBCSBZqw1UkmXzgd09pgzeSFdKIP/Vbeqm0KVvTMQQwHuEvQ2sx0z4W6z9c4W2UBIBYsnRjz29GOsn3tuq/DZAb7SFVEU/vPf+uPDM5dtkNyyN+SmvYkr/1QCE7uhl8ZILLIEeAX8BdCRlOn2SXBXLvkaI9iK5nNBrZMkJtvlISUI3CTVJE05vwif/5LmyOkmdz3Q5MxykyNn2xAEqJamoRVtbWlr41wEzw3Ob3huXJsDcX6X2V1lACfT3Bm4vZTAc+ztLqyIY/Ow73gLT9btwUKiUNaDF45CkQTL+hoTj6t3jrh845CnjiYME49OLAg1+ImbCagqAJdSIKSsMXnJlJUyVpPXn2dNwalH6PlMNSO++3UhL72ux5nlHnc+6HP0VMDtj7Q4u9ggHXkYqYl9hZDSrRRZV74ky3hCIVvWAnkt0KSapc7dllyjToI5b4JOIbKQGIROkSrhBVeG3HJZzAt337X+ta/7N//XP/vO4+9Rwa41w7dnBfh7P/BZ4iTlj/5qiI22sHvzgGt3jXn588dcvTthy2zKZbsiNIIkktmYXlW0N1WZ3Ra6vdTeJagnA0tbidhL1i6kiErxgpQ4tRw9JXjyqOLzD7R46pjPM8ea9MKAMArA81FTHoEStBS0tKFZ8YEDnddp5GWzri48yGSJ7yt8X2YXgC21t5e6zKLndH7Dj7Em4sKSJLQBWkt8adEVm22CwAuQp7be7xglHgLNhnURUo0ZxB5DLZzTEZcFY1qZWgZSikoUmw87QmCNLJm8MhjJS1UxfmIY+myejbhkU8xNl4aMohH/+FiXp477fP7+Bk8ea3D0ZIM4URAorFQgJKmsZIOKJMWzaBUx8cFzhqYC6vy5SUv2jg0aw57dEdtmE67cHfKKm0Ku3ZWyY6MkTS+0+wt3fYcQ3nv+Wgz+i++7jYWlgfrSI/vFKNZE0RSPH/V48kjE7Q9ETHsJl2yPufbKkNfdHPKqG5w293RCs22xJvvQRpDEDux5IOnAnefg6gdDCPfhhXR1IwiDkJY4sgzHjtGPn5b82R0Bw1jx2DMNDp8KWBj4hKkP2gfloaYUvhQ0FbSUpaFw48xUVnikHGv7nnBJjyq4PYmfyZLAh8Anc01cytzTBt9LsoxoTLMRcXE55fP3dej2A2anXZ4gLxnIcbAms5lKQGgkYahYP6d4/a1jbn9oxMlum5EnnUzR4CUWL84968xjl6mzC6nOOpHF3zBWV/6GA7qfKlKtSDw39iGOPWelejFtP+al1ya88KqQt718zMFTksf3eYwixZ98vsWx8x4IyXCkSSOVl29idQ7wCcsoB3gN2EVmD5FahLFYnI/YbCd4nkFgeNUNDl/XXBGxc1vKtIa5jsQYTRgFjFKIB0+Lzrob1PDih5PWxm//+hl8brb9mwtLg+sja9xZ1u4Xz4985vsJx5ZS7nsq5aNfSNgwG2ON5ca9Ee96zTirB7dsmDbccG1Eu5GtOFYUObDV51wUw3m6Q8HjT2gWe5JmQ/LAPo9PfbnBOFaMY8W58z5GaGLrYYQHWiMCjZYSXwka0tLIgB0oS6CsqwHXmeerS+b2877MAtwq69EUBXv7nsH38wKttGBv349RKuJLjyo+8dUOytfObqvp72dn8NwLT9Pc8VCMxx5vedGIT36lx5/cOc0gadDOdLiX6/A4T8rYoltICFkAzP0pWdH6FYAbx+SJdkzuaUWiNTpJHdBVilJukP5sI+FFVyTcekWMFSHveOWQcezGuf3VlwMe3OfTDAQLPcXjT/n0hjJTSYJnFeXFzhOuNfCGGyLWz6Su6SG1vOs1Y264PMYa2DBjWTdrUUgsijTRDMeaJHX31FiUXL5eeZ3fBH7462Lwi4s9NqzrTP30ez9xRRLHKpBghCQRHjZVIGOwKcakhCblQjflwrJbYg6eNHzqS46abGqYnjXccn1Ep+nqgNdMT1Yv88x1WBkoHnrSp9dVSC3dTBSrHTMJjZsLrEFqpJR4UjgwS0sgDb50QPAV+Kqc0edALsqGB+0aAfLG4yq4HcNnZbVezuBp5Z4Q6BhrI84s+ERhg2Ba4qty9mLuIxdZTEFJXhXrtOhON4oo9pjtKHasj/DFmFESMEoETe2GYOY1JHlCS8lqeass/pb7G3myzZTZU2OynslSGiVJNo9dqWz/o4Q4SVGxyyVolSJlwvb1JlsxDFddMiayI6Q2dLuCh57UrAwlqlAs9aC6SuZY17XVblheeH3M9KzBJm5lbypQrnwOYxRprIiNchOCjSI1Lo4wRmFSQCQqicdXTG393ikTd3vSq881XAXw8xcWWFpafs+JQ8dfKcMBc75ibCyhEUQiH41mQObBQJLRUUpiLV2b7Q+jLL0Vw7kvtSsfcS2AV/VbdnKEwORbLpDVnApVBjlSZlZWDuos7SzJNm7NfePKo8466RXZ1nsU4HZtXQo/A7evKUpMHYNnLK4NfpYd9byYIIg5tWD4o9vboH08KcoAs5AnYhWDV/3hfEioA5sbrBPFHu9+/Yi/vHvEMxc6DFKPVuI2pXVVgOUAJaHynEA12MtLF3MpJCsFXvndFLUwWiu81M1L8TKgK1kmzVzdePZcmGxwUIoWFmFT1rcM3/ISAyLNZCYg8v0zVjtkJRwEGE0al/FZEkviimHhBqjKLL5zJFBcnIkiHlqG6elXyvap91iT/OjXZPBPfPIOpBT+0sWzTAeW0LhOeZ1aPCMIhSCxCpPtQGytrugqUz7Pjm5a283ZrvF5c3bLAV4PXtzwoGwEhQBPuLRyIFy1oCfday3Jaiqy7vG8kEhTmYNCtjNb2VVfAlwWsiXwbdHS5vumMjgnwcvY29cxUkacOC+Y7zUQWhNIavJEVj9W5XRXpUMNeJnTESUec1MhOzeP2H8+ZJRqxikEqcBLLV6S6fCEwlkqU+iq1qmQu1QOKHnnjKhII4NODamSKJ1vX66yYrUUqUy2UpjSms1ALvK/jck2D7OF65UDPXfASgiULXA5qIG6CVG5p5mfn/v6eVDuXCfFKFSEw0WWh5/318r3rAL4MwdPIoRgOBzhKQqPWuKI1DcQW0Fis2mkVtWK3qk8lvnb55AmItvRuOgFFEjKFLGbSgWesHgiA60sRy9rWflaRvZlKShFg62vhAN7DdzSPfo50PPgMwN33v2jTSFRPO30qe/HJMR85itNLsw38aYVfrWGo+qgMKFIq6nrakFalvQZh26C7ZtePOArT4zpJQ2GWtNMDFGWTleyLIjKC86EMJSdQ3mgmVdt5tZhNlPFQqrc39RGkCiBTmW2i52r5UkyoJfJNFMk2KQ0lcSbKXbFK8Gd2bzFXjFrn/6yYlQUXnkB9oLBK8+rAM9kXRKHJN3jrKUQagD/sz+/nal24yUf/st7bh6Gabk5k7UIJZDG2V9eJY2a1NKtopgwZVlbkBS4zu95skCAyh+FRUNhtaksZezmm1Tmi+fAlm4/+XwUQhXYxRwUhetHXAvgecCZ626dyxKb6e16LbnvxfhexPmu4ZHDTdA+OpMnulKglGf7xATCXQa3UnVX9KWWJy+OPW68LGRuZkR3ucUwUbQUeIn7LCp1A5RUXAU4DuTFH5ITlZoi65t0yTqjDKkReEaQKkmqDKkSJBnIq8VreTmEzEFeAXVeMiEwGcjJSppzr6xM2tUsBlseD6rvk8ksuaiBPJ+sZYwbsqplRNBSN2/c8aqXHNv/0nt3X/n6tQE+jmIsfEtqzA3jcYxUHlI48Ahr853ja9VeLjtli7qCgs0r98kLuGom5Vd5nhUrwWELBp8s4dSV+eJKlKWerrk471RxskQV3SslsPPmW8femebWFHo7twQdY5fg9orqxBhBzKe/HPCVpzrIQONL4eZvFxWEZRtdWfE3mc0syxpMMQPQBVKjscet14x480v7/N6nO0RpwCCVNFJLmJCtXNWqv3wWpJm4oJ6NycFoWdTu5+BOlUQp4xhdymy0RL7znakAvAJsWS+jKGVKvkhXVvSJsoU8+VfgvZoErDbEUC3BlsWqJyTYJMJac0OaDL/FmOTeNRn8qUNnWDfTfv3vf+iL3/XMsUWsUNl01qx7xDrZUBuXZss0rAO2rWcmRV2dVAOtKrhzAMgKKCRlzUN1tEHO3G4Lkvw1GYNTtGHVWDzrhvFUHdxunMIEc2c9m37W3ubpvOEgqdxjImI+cucUqQ1QRfayGmCWfY25s1HT4Ey06xnppkOlebCpEXi861VD/vgzISsmZpQ2GKUCL6FgcSmtm2iQFZ05u3BSi0pKa1JUQC5IdTbKQWUg1xZlnFxxY/ZcBaPLHsuiNLm0KKvVnWUZc9GUUgDdrsbBGiFZocmrFaa2JIPVycPMQOA0Tf/id23c8ea7ouGJ2/3WzjrA0zgiCvVlg95gz9Jyn6mWV9OPVlhkxeKqVYlVaiW/pjQRRSl5TZ4UQJ8ozyy0+ITmLMcwl7M9lBKlFs9KCmrDbjJgayVKJ6WwA13HvWtMthlzlwGmrrB34EU8clhy6GwDqzyUlPjSoCfrNCoHcNJFye95f2pZRy8KRyVOPPZsjbn60gFfPdgkVj6jRNCQ4KUWnYhMvmVdOEmmw5FOLtT+pKiwuKhIo3KURz4TUitTzJBUmfQrwZ3XAtmsTCBncorVQ1TAjcgnZq1m77VuOXvn7F6874LVqcgY9yilJE16xOFoTxxHl6VJcvsqBp+fX2Y8GhOHQwLtmHFVBja/4qoDLytXYR4ZP8dbr0mTAvBVoFfArYqa79J2KyWLcN3zogS3CzJF0S2uC3DLGsCrw39ctz0FsItsZcHcKb52iR3XFRRjifnzO1ssLjYRgXa+e/UinKxBqS5bFYswb76t1nEX3rRxe9usXyd556v7PHJ4ijBtMFQ+zdRp8bycVUkycOdrhck88TwN7li8pnNtNgdyYiqVu0uUqcx0N7ZILEkps89pira5vMvfzYKvllhUGHyiaaXU4rZ2cKplHJP1SpMl1fnNkFVkjiOGg0XSpCwuLAD+gT/5S7SWnDm/QsNXNQegCvLV5a2Tf/DZ+Tv3/0t5MvFYBXSVxWvjxUrGllUGV6LC4rlckShdB7ivswFAXr51YJbh1BavSMWb7Hlau2vlOneeOQEfvaNDKH2UVFn2sn4hTmYwJy/7ghRyFq+4KSZj8CTVBKnmna8b84HbhjxxtEmsPIZS4qcmc48EMrWV42Rde5morqUm+1v1fYuqTJ4a0IWF6EZbq6wkQKW2HNZZzGURxQWdTOhxdz6rxXJUmDzH03Ot8xV3pUak9aOYXzzOmfa5cPYw588vuQKtKsAfP3iW6y/f0vrOf/2/dp9cWkRZkWXi6gCs/cXKxfcc6ZvKB5p8vlp7P7tEEQVwJschywpj50FmPrVJ63yT10x7qwlw5+l7L29MNm5mSNEilvd0Jtk9RnkRh85o+pEPSmfyxE6Ux05euPUDUh9oNOGFZ904ZeJH0/YEV2wb88ShiNQEjIxPI3U12zrT4Eq4jVxdYimHgiEPMksmr1Z7utSFLgabZmMasoGp2pB1EFmkKScE5NO10ry7vzAAyuCyCDwnzneOmFUNExOvV2FqjYpTgSi8dyUt69rLzG6Y2731yp9pxeN/PPQauxzADxw7z/n57uu2bNrw419aeYrNbVE6GEXQsHbR0Fogn2T94msTK4LA5XOqQCiBXfYxqgorqtpQzRzklDXSqgLq4nmW5FFkXrgDtwNwORTIq8qTKnurrK/Tj1jqG/7nX3RYHDUQgefkSWVrlnyVmVwB12apvOZIZDmyKoNnHm+imWppfuxb+3zxkSkWQ59IakZS4mc9lOXIh4zBq/X0whRltK5pwGWiqyXMeSOCziZN5UF6DnYlRcbgThKlhYtCIVNKHV62E5YypYKhCsDFBGAmOfRZjlqJpSwuVBKkB57s0Wqv//Gw//i9Jh38JWQMft8Dz9Bs+Bw/coK2SvA9rzhwOejWusq+VsBQA3T19QS7lRpclCCXkxKlPpimALYUSFWOH1MVUGsp0Zkk0QXAc81tiqDS06YAt6fz+os6e3sqxvcjPnynx9NHmiA9pJQEeWlsxdos9ojPPuSzVhNSsnmxU0VFpiRGZps8eVy7Z8hbX9rjA7c1MDpgJH0CKYqkj5KCuBLQTTK5qDJ5YRLU2wmNAmXdquBGgFDMdnSsLijHSpSzaMrJtK6PU8i6PClIskJs1ABfxcxqaE8KkxxDbmQJWGsQQtMdeOiFs3SSRzGp2xhCA2ybdaPI5qclp5qWplfvJazNjc6lyddgJ1H9OVG+tVKPiVVAn/ybudVWDtP8egAuS4AXiZ4c4NbNyc6kiKdKt8SrDAcqNbdjb0+7qVXLXcNffanDQjeARuaeTGywtZZEIa8RmaCnNW27wueVmDR3UzSzU4p/8Mohn/zKmMVBQKQ0o1Rm9qTI3BtRNmPLmrsMGXvnXzIFm1N4zTp3VlT2XGavpRuHnR/3KsiFFJXu+3yIZyZNanpc1MBdy16TZzxFHeA5btaQJzmGhLCuCCuVjMYNdHMK/GnSHOAHDx5iw/rZXV+658F/fu/KeWbbCqHKX1TIR1FcO2vSd5Wpc//82Zl79dDMGnvXDlaWOKkBuz77u9rh4oa7Uwd3vrNBztyqwtyrGDwfN1GOnNDKZS6PHRccPNHAECCkLppzy+rBavwgKq5GeUCqtSglk0/MkDGlo2KMCzaxmit3RuzZMmZxfxOb+o7FUydTdMXFKdmzWuiVCe68jBay2iFRCT7ByHJuZDW2UcZdNCbbuaNIaMmSjApwG5HNUsk1eVWy2eKCL2WKrZBACaxaiXEVY5nPXJVBWDCmwYlTy+wIpv75zj3Pf+zUySPH9ShMWemHm8eRef2F+SUagV80ia5yACZZW5R/fS29nT9MztLIAV1NZde+VullLJ0JUQk2S0A7BicbBVz1wav3bEtrVQV3BeTZfvVeVhqas7fKXmsdo1TMZ77a4dBCE/xSnngV67J2wbJ6XMTkrT7mrJKWru5ulpfRRppL10e86dYhDz7TAuORpE6Le2mW3U3rUqlgzporkIHc2tqsmuK5zJ5nmxYYmd+z2ZPZiiFFxuomX2FtQUxlwqf6PGPuSntbmQQSdSKsrjxr6PMc3AXzi/x4KsbjRTydvF6K8WatkuPa7UTsxoTFsaURZDUha7D0muQt1v5aebWJCfZeDer89WSAlgNarAHsgs2VqDThVsCdzScst+1gNbB1OSCoGPGmTQbyxMkTFdNsRXz1gOIvv9RmNPahpdFS4Im6NJl8/9XPvCbAmdDfE5Zh1RePE810R/O2V4y57StDHjjgY9seozTAFxQXmhJ1ZsvZjgmQ2xqUTHmBKcfmqXR63FRYOw/qTRZcSiMq+ltUAt16DFUSWwb4Ag+iAPrqeG0S0qtBWBJvmWNxfbOOmIxK0dbEpEmMEimNwLkNE+T8HAAXaz2Qv79nDSwrS2eNuSeeF1JElKCWqrJ7gxJZbUoJ7hLkedmsRetyhLLONmHSqg50r2Brd1fKBZi+HxFHKbfd1+KZky3wPIRUGaiyuSGV4FJUmZzqhV45PlXWzup4bCWTaWxZOWcqdmEUaa66JOENLx7w+PEmYeKTSo+RUfgpE+8l98KZYHD3aCfeCyq/2AxGufF71oKVAqtA2lKPFyuqBGkqswxNuWrIyXhkIi6pY0OsAvkaGF+TdPN0fv57rVGMQ0sUJoRRiv7YJz6DVoput8d020PKeqf712rCWQvY5WN1KVlDc7MGwCuALlm83IGglCYVq7Bg7Bzg5eTUQqJkzO0Y2xZMrYvH8rmXBZdaxQR+xFMnBLd/pcVw5EPbQ4q8cpCKPbhGFrPyOatHKq9FcejKKgvXKJ8t55qootun04l4w4tCPnn3mMePBqB9xkbiZ1pcGVApNWkgUgp5QDqRxFClk6MVpXSRjs3zVSUP8o11YJemTLQJU3VTMvIyJbNP5jhqUrUKZFEnhGdl7yrA84s0e22Mz8F9j3PyxBFMmqL7vSWEECRxTDNQxXyKgmUmf9PXwdy1q60aWH4tFpcVsFc1dwFyp7er2UylsgrDrKLQtXNlz3V1PvgEuLO7l0+hzQr8tUrcXcd4XkxiUz59b5N7nmpCQ4N0Dc1epYS3VhpbvVdfrHVybOVOXs5K0Yyc2nyuSQn0cOzx8muHvOklQ54+0SBJPKxQjITGSynek0hLFi/fwtpMXq3nVypnbsfm7rVAZjPfSzfLgdxUg8yMwYuhnRPgXh1wZhdeho9nBfYEs09m0auJsyQVxEtDVC8Ca9HrZ32UlIzGAmvjomE4rxrMf8tadSZrLyGifhXWNLf7jqwCvNLWVd1ZoAbsmlSppukrdzUBblW563IT1BzQXgXUuXPiHBP3qFSM78U8dlzy0Ts7gA/SQwhVdBGpbCPVata16gjlx6uwRydqoauOSlETUi2hTV3rnptCq4r0vbWad71qxOfvG/PQETdJIDaKYSqygq8MdGnG2hXFXQ/i3OqBogb0/LsqA72R2X4+eVCca2+Zsblwj8U5NJWBnbJy8U+4KdVVvipbVr3PtQAOFT+/HKIUxpCOJUIqsAbdDNx0JGMknnIFOoL6bOdVv3gS6lUZkl9xlSuy1FuVKasTuruUKiJLFpTWUw7wYk5eFeRZa1q52ZTb2aEcgF+Cu8balce8sTaXKkoleF5CnCbc9UCTJw83wfNAuuDSF7YyObYaWNU3caqTdx1atvKkaICo1IjUqgtTiVGZo5Jqwsjjmj1jXn6LY/FR6lg8FD5jAzoVZeCX5nZh5jaklYuMcte6SetSSbDKIq1AWZdMsVYgrMAKkFaUUqUSVJbsnZ1XU73wK3PdKz541cpc7dyJiaNXVxX5ypdXRMaJ29/HZhMNdW+QIqUgCg3GlAGCKKq3qoPV1ob4KtO+eLM5yEXtg5XGf90xqe8RM1F/Iij23il2L86bb2sND+XWJUpNgLsyFL9wT1SK0hWAZxLF1zGHzgk+eFuHMPag5WXyhKI1TVV3CS4u3DL+qOmVyZutA93WTlYF6HYtLa5pB5LvecOQT9/T5sAZd/GlRjFMlasyTLPkT5Y8EakoyKu6ktgc6BWAS1tqcZlpdGksVrpzZKVwADeVWClnclM6YqsTeGvlPyhXmAnHbW2LcC2AlywuBXSaAqWdFarf8KZ/sOnAgUM//cD99zs9mzFmAey8XHHNP1V9I5U3t+oKFTVmr0uSKntTAXnJ1pNFVrJS+6EK9q4AW+bBZR3c+Wy/Um9nz6UptXcWXEY24eN3tnnsUNO1+wiNEi5zqbMa7GpzcVWmUDt5z3GrafDSKizH4BkH7BrI3XyaaOxx4+UjvvVVA977pz4jo8FoYiEZGRcjSJORSVrKQiacldxByQNerM3Y260qyoLNvG9rS/Dn4JY2IyNbX8VyyVIH+BpuiiiQU5O0JWGWKf7aoStAKcqYEReLNfyY665/3k/vuGTPD+kzp0/NjIb9N6ZpjOf57gRl9tBzVQuuBnipq/M3VFyVledlAqDqnkzUoFSBU6sDtzXtXQC9IklURXurYqeHykZUyk5IkrxSMC3A7emYg2clH/piCzd/xbF30bmf/31BbbywrHzuaqApqi8qJ6MW4JlqbUg5V9AFnhmwrcSkilRlWjzVfPurh3zirhb7TnsgI6yQjFMPTVYvkh/rNDuLaZ74yZm7Ip2se21xXnX+3mR2EUoL0jrZkoNYWvc3rMn8cZMFqLXVuQ721dJkAvQTmMqBVpMptv7cZriVQjAaRXR7/TeeOXN6RmuZ4GtDM1AotZpyns0mXBVgfj0sXgP3ZFKnrt9qNeBZMqG6j0ypwcutAnMWVxPgdhNZTfbo7EClDCr3u1WCkgkqY/BUJXzq3jb7DpXaWwrpvO+ig+ZZGIrJ18+hIanobypsbsREwsd1vpvUzQTMU/hRrLnqspC3vGTAkQ8FRKkCoUmFZiQEOs3su5x8yB0VUXkXtgyBM71krUBVUGNlhc3zu7Blil+AkQ74JpcpFR+8CvYqkFeBvQrkCUCvep1/gokY0QBRJFjuJlgZoT2t3B6MWqKULA72cwG8ZuVUr7SaDq/WQUx+wNWJgFqgUgN4ydr565y1c7DnzF0AXVWZvNTdKg8iZUWayHJovlIpnhdz9Jzif318irH0yCdolV3z2QpSrYGuSpJVUdLat/ocyszNsHkTQn2XjDx1X61PSY0mST2CNOFH3z7gL+5qceSsBhVnUsVjJAQqlyeZHi+CzQmQ5968xU1RKFYYBNJmEgWbsXbuiZsamxuRVfhJ16QuqyvzBLkJkVWoV0hhLXCvhbXnImBrIU6zUd+pQIexyQrlqSV5in84+UvXvLJKDVWTJlQ+WP68FmXXn1eBLSZYO0+k1MFtSoki6wyua/52rrOr+rtyl47FPR3Riwy/98kpzlwMQOnMGpSZPLE137t4Xv3sNZaqbx+4JtCpSJWi8aDao5mn8GVxL5ohpJvXt21DyA++tc8vf9CnG7upR9ZKQqOcbZjm78NCKihtwxLk5X/dd1SGFmspmFvlmc08AJW2ZHDrzpPNZL4Q2XPhgL9mwFmRJyYHcBVDkwBfC49Va7MCdk8LfB90PnRSZ3u/5G948soQlSdi4i8WxFVZbqoAL8pta57oBLgngF2ytq0Em7YILPPGV6XKIFNLi9ImY3RTSBMnR0xFquSMnRSPWsXoIOZjnw743T+fIjSekydCFfKkaCqesMRqulvksYhY6+itzT41q7AK+jxlb90udqZSSpu5KonRNHTCD79jwMETPu//lNPioEiFZGxc76ZMKRi8LMDKT5atgKS0Kx2oS8libcbmou5aqGzqgq0lfpyMyf9WDmiTkxyTEkXU8UMF6F/folgcuzjbDSOMQFcbBaR0S+Rav+hZ9VD1DVbeVO3EZ2XIk9H06sKcOniq4Fb5Ft3VLQNVWeyklKlIlRzMFSaXZXVgobuLRzdrcGkZ/uKLLZbDHNwO4J502luLujyprTq5XbbWCakcvKrWrp4UKg5KbXe62naMlTpxKVFGYYybtDrtp7z9NUM+cW+LxX42JNUoYpwen6wurJ/jZ2dylwcqk0J5fUoebNqMxQtAZz65sayxUrsvOpWUSRkoL7g1sFSTK8/NF8X7TY3FpC5Q13knRu5bS9am7vqVVHkDlUdZueJyYNfAvlZAVm17qgJb1KWJLALLaoNBPajMh9OU4E5rAWYeZOb73OgKe3uthE9/qcEDTzYxFe3tmhpyeVKvNylas6C+ion6yVlzaa0Aq2oVVrfBrjZD2GrQaSXKlr54knpok/DCayPe/IIhf/QZH1QEQmKFIDQaJYTbgoRqaryan65o8ooPrvIeidw+zGtnZKVQTLoZLzXmtu6CtxUMmJzEcra2+ffsKsmyirnFatytyb6FS2Ww1qAHY8MoNKRpXtch6v9uDTYS1IFclyarQV2VKdWOj5pzIkvATLZCVYFduijZa2XR2YgxKTPHRNpMV1ckSe6YyIpEkc49CbyYIyclH/x0h/N93+13Ld2gdyUod2yYiBdW6e6K5v662IaSvSdrKmpbLea71dW67t3+Oe7RbX+yqZ3yvW8ecO+TAUcuSBAxoDBIxkJWNpGCahmtqJ5QSplU/LfIZmbnocrmwj3PwZzLlnxldt/LZ7/nMqUqXag9p/q8YPf8/ZXNDQXcK9dlfuEqBY1A0mpIdJ5sKa4cUV4hk0J/LVA/m6dZA3TloK5tC1Yq34r66gpzqxzwEyAvZmRPPk8L7V0kdPJxwCpByRSd2YK+HxOmht/+8BT3PNJ0vW1SO+0tpevaEeX8leK95itL9bitweRVnE8STT2DWboW5R7v1fLZahmtazcrZmanhkRqVKJ5+U0RP/SuHj/72z5hIl0jqnHz3UfCZR/L9+ZAXhvhYF1LGpX3516LSmyQdddnSSAXYIriArAZWztnpWx6yH5NpVxjtaTNMfNsOMsBVsisCpM4iZjLKXfsdA62XIOvBdZnA3ltSam+0cpJlsKuYvKqJivBvgZ7V/afl2vJE2mLbm+3bbapSJTK2N9cd2czrovgUiZ4fsKdD3l84p4WYeRBUxfau2DvIrBdnbmctL+qK54gDzjXpu9qYVMx1KYGbrAqY3RTrxVPjUQaJ1VyoCeJptlKePvLR9xxz4jPP6ScbYgEIYmFZpSTTg4KyoIscCxsK7RY2oWVupSMma10w+qFKF/bTJrkQM/PrxXCMTfueV6IVeCpghs78bXaMc3faw2D2UWaXVBpagv3SbcaEDbczJBVy+7XAfC1s1HlElM4DayWJzljr9beNuvFrAI9CzLzuXiior2LSaglsLWaALoqwa0zcPtezMrA8ul7Wxw413DSRLiSWJFrb0FlgpRdBe5CshSfX1SA/hz6JAe3pbCtauWzVakykfiZrBeXUiFNijSaONTs3Rzz5pcOeGCfTzfK0q/G6fEIRb4PhNsfb7KlrWREi0vuFBekdG6LylraSjbPpUqW8BFZDXkB9ErZrsjyRyJP51e6/ydAvYps12L0SSwCSWoYhymjMEWHMURx9sbVc//StRibCVAL1g4uBbYOdpkHHJNBZn3mRhXMQlALLmUxmD0HuZ0Ad7YzQeUxB7enEwwpf/iZJr/78Q5WaOd719ibUnvXrMHVQKdybMpw6FkwXpElNZas6e+cyVe3spk8bW8MJpUY6XxxJQ1x6iGV4YffNuTwWY/f/YQmTkqQGwShkCiTD5LIwF1tbStAnesKtwiUX851OCXQhQOyzP+ZyKSKLUdMkMUANsNKDnyoZrXL2pO8dibHWVE4lpO4Ww5qDky+tbnbrUOiXe136Ts/K1NTnsgc0JNgX53sWEue2Jr2rj1WPO6c2cvNlrIJRhOOiczBrSbkycSe9Srbe8Zp8BjPjzl8XvKJu9oMBh401Wr2Lmq+K6uLqAxEqh6biee5JvxaHF7bEKMKduqzsY3J6z0qQJc50CVGOi0upSaOUzrthLe9YshtX25y+Fx2ct2AalIhGLm1xr1Hk4HblmC3Bagzt4Qs+ZPjoHBSyloQI202411U5Ekd6LYq6Sr4sBPkuDrYXC1dilr3yuLjrFVLXlWj52YCpPW52LBFaWR+La8W/bbG3GsVzlSXolqwWUtpVxnQrpIn+TgwVWHxamJHiupg9or+ruhuWZElUmaOScbkWieEseGO+9t88dGsWlB6DuAT7J0XeSkhqAXD5O+/nn7OES6+FrLrhF4HeuVuTJY9zJ2UbCsSp7tNKVOMJBUSlUqMUMSh5jU3RLzmhSNOfdYjNE6HZ5VQJGjGAldxSBZCClHYIDYbraAKussdlexaERTAR4iS7K07p1ZkgWcN6NnfklWMiDpubCXrWhzrXPbZLEuaUUiuGmqFV5Y4ToliQZRo9Jat21eEHd82O+39w+HYkhpRILzIQNZGcK0hVSbZmgrYJ9i75ppUAsoS9OX86RLYOdDLXQaqzomUq/W2swnTyvMEKV2njvQT7n7I51f+YJrU6tI5kQohpNsHSJRp+TqDVx2ftdm7Bu7nAvpEsmcyZV+VK4Z86lVWjCVKR6XQ5NJ548JoksTg+yk/8X09DpzW3P2gxPiCYmaCEMRGMaIqqCppbCXKTeazD1J64dlqm7/fbLXNdbjIUvaGcpSEXQvEldV7UpKsAvaaKoK6jWid/k6sxm+0b9u+Y/uKeukLtg4G/fkj1oofGo6T4pcWJ3WNmuxq6nx15d9a/ya3+jLJoeqPhfVX7B5WDSAnkjlZjXdpC5rKdhsVaVKzCfOEjuu1PL0k+JUPTnPvo223KY907WhIDy0FTQmBJNvkqt5cvPqeNUAXQ3Lqw4hU1u4l1UTDdOW4la9F5aK3q495TgaVOYD5zxdgqX7Pwvq5hEBbHnjCZ2VUqS3Iwsx8inhZcZgxpK1FEl/H1Vq5EAo2LVekshxh4hrP/f7856n8bPVrQK03Ya0iwExOSRVw5tz89z72xDMH9Ilz7uCY1G1l4XuVmYSyIkPyOXOyzt6ytpTkrLY2cxed3pUJTKX+rm6LUZcmcg3Nne8woCakSdUWdIFlVgqbPU/9lA9+cpq//FIb21AglEOn0Agpa/2WWrBKfz+bPVjbC3P1kV8r2TZJ5KVMgVqgWZ9fmAWZ2fxAmzG3taasURESaRSp0MhRyttfOeKZox7veZ8mCpIKDQqs8QjJGk/y/HpayVQWgLWZLMmymxm754RvM9a2FStQ5tq60NgZ09vqsctkh82xll9kdSuw7ASrGhzZ2Lg8lpAQKMn0tCYIPIyx6IUV4wIIYWn6bjB8Ae6cHSquSDU9vcpBqd3rgxfFswFblJq7XBVsTaqUxVUm870nAC5NBuDKc1kmdWSl9uTzDwb8wWfbjNNsCr7IrcEsaylsTXuvmZqvAp2Jz0398WuxX9kW6NbYVRlN7KoSWisrmU1ZcVaEcoVZMivOkobUaALP8H1vGnDf4z6ff9TZhbk3jhQYqwmNa0crikgmrcNMZBdSSggUNgN1BeR500OuuQUl0C01TU4mX3LCtLkcqR7TDGSrJHBWklsQSHZheJ5kpqPotLXbIrHhi4Lcy670siS1BsiqBpp8I5Nvovr6WYGds3q5kZGsLdF5c4EpgV7T4abugU+yt0zLAFPHDEP4hd+f5uiZAKvL3ZJr2juXSDVgTwCaNcBcQFjU8fwcgry2mQDlMp2DyKypx1fXphiZVRzKKosrROqmrsrIcOm2mP/w/V3u+/cB/XH2YYws3leKZpzbFLJSA5tfeBIwGagthcOisoDSSoptUq3IdXjVDmQ1o1cYv3BeasRZjf9E/et5J1EWA5D9jiS1jEK3lUtqLHr3JeuRUjEeDxj25/G1RCtb09h1IJf2oFzziitrGyZtwPrzuhwRYi2JYipJnso2dhmbO1DnTknF98535808b61jkhR+42MdHt3fcJ63zJm7dE48UZclauK9iyrYJy5uimCoHLq5Fl+vYvIJ56RsgKAsZrKumGlVtaFwDF4EnUY6kKcSI7J7mkkVY7jxypgf+7Yu/+PDM0RpxuJQRIUpitDkWjzTDBWQFxJFVCpVRJb0MRU2lyBM7ocD0mbsvRrohey1leOcBaG5sVMjy+xvCkGRGZXF8TMkiWXdugYqmIYkQb/2da+n0Whz4tjTPPTV29DaL7VyTT+vvqpyoK9ePia3sZgAdsHq1Q2M6rKkfF7fn7Fk77TU5dWkTu2eBZaNlC/cH/D+j3XojjznAWaeN0IhhMickzJrWS0YqurwcjTbGjMIa2GZKIO2SUBPsPYqvNeAbqkmgErWzqbC5pKkmgQSzkZMpUJa4+pVEsVUw/AD7xjy8NMBd3xVQSuhKBzB6cnESMbkMUUJcosrjaWwLZ3n7UCfOSi5hDElS+fyRciskrEC9BwveYFW6dBNyuAyO+zyRXVXxWT7DSXCEkYRr7vmedx043X0+gO072k8T+N5stjKo7rK1peJ/A9OBgCTOtyuBv4EsEvQT8iSiiSRovS962BP6363dFagLPZVd4GllAlSJ+w/rvlfH53i8KLv2q5FRXtnFYNeNuukcDYmpcmkPKlJk2p7Xnmc1rzlsnaiFqVk8TKxUroJa6XxJ4YE5YVY1hSbyopcqgjrpEps2bMu4Uff2ef4ec2hMwKrqwJLgPRIM5AzAXIyG08V0stWAJ6910x25OZEDnJRkS450AuSqGjzksWLP0deZyKEG+VfxV0ul/O3FEXuatLaQymNzsNPIXB7Q/rVcsn8l0zob9YAea2eoLr/zqQOr8qRCebOtHiRtawCXZbJHLdn42QypwS6UilSJvhBwvmu4BfeN8Un7mxhPVWm45+Dvcu679Up+XoUn3/eCn4rx6jU4XXA11h7Auz511bXpFR1eA7oagCad/44Bpcif54Fn8KQpAZPOlelG0p+/FcVF1YEBFW6FVh0weRVkDsZ4i44pPPjrQSVy5Mc6EJkQWbJ5DKXLmkVzKtlyWRsQw3IFSlT/V5GAgBR4q6WfICUVkqiveB8w+f2zZumXj8c9EmMJt/lqgrw4gQWj1WpYlezOauBXSZ6VjsnQpQaW6qJAFM4KSKlQeUAr2QqZeaauOeu1iTC8KmvtPnCg62s1kQVwK6zd7lrcHXeYNUtWVUWW9HiVL43ydwF+NfwbatyZdWcwtwHNmWVXrXSUGZuSq7HUyEQIkv8ZM6KlBJjVfY1ibCu4jDQlte9YMxbXjzkj29TRIlwadv8zUuweCRWMM47g3HgLrqLs9oiN0M/CzZzyZKDPGPrPGjOhwJZB6mJ1bGsDS+OZwXEdUBXjmsGeguEkWF6eh2JFbc3mv753kAiN225jNH8J45vnL34P3dsn0KraKJbppJYmRzRkBc3rVHGWu5zXsk8FtZeteXM1Nh5MkNZfL9SDisr4K52xKsM3EolJMLwybuavOf9U5xe8MBXjrmLwNKtWrWs5WTJQJVparNPKkq7yuiI2sGvnoPi2WSiYw3cT254OilJClbPJ2AZWWmMkFhT1qi4FL/rwjepa3GLQ8WOOcOPf3+Xt75ygCcSSBOwCZjsbhOsMSQWxgZCI4gNxEaQWEiKXeGyvTWte55kZaqpzffczMeqlXez6meqz222EllSW25xmBhb+x1J6v5Wmrp/aywMxwmt2c0cPR/+z9/4wy8ev/bqvW6PnsMnBUoLFi8qVgaaZiCKYC9fAMQkMxVXlC2ZXJSuC4UUWYO9ZTXgzOWJWRVcysw9qUqUMsCsMHcWUOaWoOelHFuQvP8v2hw4HEBHFW5JkdiRspAmRZ8lE7Xpk8xduecFY3k4ViQoJhmm9rp0UdZK9jjWNhMJn9JFkUXGr56+l8KBXApbeOOiYHZZyEYjFMI6bzwOLVdemvB9b+vz4JM+x+crV7ApIzprBIkUjPOLLQ84M8Yugkvjhu/njooUVdVTtq9Ja2t6u8BLprHzpghh68rBfa1OBzkG82nDUy3B1jnYOgfj0P2sBmjN3ITnN1npNYni87QCx9oy25r52W5rRrxitYNS3ctcFAAqEzqi0NkWkQM7lyXF69XgLtk/RQnH3lqnLPUF7/3jKe56rFlWCRbALqWJL5kYg1x+FrXGSajZgqzxtQnm/npv1RR1rarQVuVLLlkcuAqZIirgr2Q63Q5kFmFsBm6nx4VQ7jIShnRoeOWNIf/i3T1+/vcly/kGwTJbaQyZ9lYkuT7IA87cXSlOfDXgzC4AWX4sYcvvOXmSe+R12WcLcBe/0v37ZzmoAueDC6DT9Ljpml3cest1DIfuw0iALVs2c83Ve+/wxfyvzM1qfD9xe7R75RztWgNBtRYk64WUlZaxWrFUAcJKul2UUqbskDcVKVORJWIiBV+A22Uoq8+VShgLy29/vM37PtahH2eFVKKuu4VwY4Zz56RWVEV5wCezlzWmrgaTFR6ujYv4OpA+2V1fADn/XtVtqdiF1a1PaiPfJgYGGSuL9rZ8gKfJGpaTVNPR8EPv6PPDb+/TNAmuHT17tAmYOJMrtiZXIiMKuRIbSKxw95pkKV+bitxw25aLonjMTHw/lzGF5MmkSDJ5T9yQnyiGcWQx+Bw8euFXdu667I659ZuqAN/CVz//c8OGPn9sbial04xoBgmBl+IXk1gna7FXp9LLlPsaerv289mFUGstK1m6qr0L4Ks0Y/S0AH8pTdwdbXjmiMef3dGiF2cbZFKxBaVyACeTJsXd1rS3mmCVnJzXTMVP/GyxnNbw/dxIL9vVJixDJw4LZq5fBJWm5Kr+XtX5IyuAV06fG4WxyjFzrOhoy3e+bsBVl4fIXIvbUos7sKcFyEMLkYHYCqfFrQNikgE7qWrrXKfbOnDTQoPnWyeWIDeVnzWm1Nj513OARymEsWAUC/pjGMSKA8cWjn3PP/1/hps3bwYqe9Vf9bw3I1WLpbOfZ+ncfaS24baVTssDVAQ/lTqFmkairrdzDU7VNRGUSZ5Md9eTPKbme7va7/xrlSxlpr9z3a29lCeOevzYL8/y5KEA68lSlhQMLiu2oC0G+Uzu1LCWNbiWTKkldgSVVyW1f11yxdaf1n3xSbsQJ0ky96KchpXtwpDZY8bKrIjJYqxE5hOzrEQY542nuConEVmuvyzmN398hR/6RcGTh7PgROZvRpTLidEkWR117qBYslQ9thxRldmE+VJoK1aizNGT626TS5dKfXf1+E24TZDvgJGzvKA3NLzghVfyXd/6MvqDMX/02/+xDvBWexah2iRTEoZDRpFkHGmE0CSpdKnX3IudOCvVE++W6RLg7vOVzL669iT/WgXUFd1dBJdiNbjzhI72DH0r+a2Pt3lsX0CqJpI5Wb0JSLSYaGYQz+acUNmxN79PjIWogT07FhWN/rUQvubmApUsZtGnWft6ldknasatG2dsTDbSWLjJtEZYUuF+gRHZJge5HjeWFIMWlhuvCvmnbxvwE//Do58I8MgHDhZ63KFLk+QBJVlckNmIRd9mYT9YlHHHLvfGbZVAss8mMhCJPD2fj6KoHS9R1OiYbMWIUsEwEpzrS1KvzeZN6wm6o+Lf6PK4+kjZPByl7SO92NsTqAG+1ymWOCHLXR/yP5a7JSXIbSXQrNacVECeBa4O5OY5mDsHe1pJ7GTgFilKJCiRor2UoYH3f6LNR7/QJszBLKvs7SrnZNUWlGuzd421Jxm7EkzXkzl1e7CO7K8lTybZuySQSR1uqNZdUOhuaUvAO3DnjO3cFGEkUpos02kdeKx0ASgZm6cWX1je+Zoh+05o3v/xDoMYd8BMRrv5Ywad1AiiCsiRzsVB5B33ZSZWZsciB73NPksRWGZQKglEFKZTzvY5KVTlyjgR9NOUnZcotmzwj3SaweEoiotjmrfZ8fO/+D+4/Hm3Hjl+cWrj7fctvWLT9EVm2gFRrCpCZGLPy4lhPUKWYK5NopqsM1kVXNo1wF26JFXXpGoNap0wiOH3/6rNL75vmgtLfqU7x6sXVEnH3kHWf1sEmDJP0ZdD9Yve0Mm0vazvBTm5xUqePSv3FSqZtNzIdvXOFbVCrsqMxmKknSyLlKoZwMkAuKyVsbULtIwTLKurQPP1wAFxZirl+VdH9IaCp49olwRaZewXUQkWUZSy5MBYXYEzeZGvHh63VoH8qlIGJpwlYBQL5tYN+PkfbPKmF+/6jWFv/+9ddeWLVzM4wLnFaTy/8Zn+YONbLy72bugEae2N5E2jWIEQpvqZ1vC+q3q8ztyyagfW/O+cxav3tLQLq9JEpciG5S8/0+KX3jfF+WXPDbmRk7pbUc1YFuxdAe+k5722912etrUclIJ1/roe4SSDV1bJqlQBJrR4ZUhmlu00VrhttEUZmApbeuJCZKwtKOxDQSZVrEUYRRxatsym/PQP9FjsSf7k0x1o5AwuJpjciRFjJJHIdHjO4IKiaaLs66Soq8m77G1Rl5IddztxjCcTY7a0DbWA2Ybh0g1t5hrrHtu9q/MZMxzXfl5VX9z+Vx/k+9+x9+SuTeIWT6Y3uX7Gug6t1ZpUWKeads+97lLbVmxCVfW4K/Ikf1R1gNfBnZSVgg3D4TOaX37/NI/ua0Cg6owtqrXeAk+6kou8Yyff231VO1pFi1e76MUk89Zel0wuCmbPNtN6FgavzULPmXsVq4vV46ZlydLFGI6iIWV15WeuKIrS5oLJKxxcYWYh3Po/PW1oNiz3PeGxtCwrSJkIQiqMbDLsl0xesnk1Ysv/lcnIsvharQCqzuCTibH8M7V8w0zTZ36l8+nbv3j6N9741h+u/Yye+DdctmczIBmtLCJtUgsemUg11xM9k9WEbumrWodVHZ7LEjGpuYWz/0QuTcQkuBOUbzhyVvMff3OGOx9uQEOWrJ2Du2Bv53nnYyB0pYlj0jmpXbSV59Vxv89WSZijRFTvkz8v1nZJCpDkTF1hqvJ1ZURDxt5Ofzt3RGQB5lpFWQJnxQkjsySRMw3cOVMUi7GwCDQCSMcJr37+mJ/7sS4/85vTHD3nu6CTAsXZQSkBYZEk+YtsRJyVLuOq83qW7B8aQBpbWfHyykJbO4Zr3XKTxQBhDJH1mdu4FWPMqp9dBfCrrn8lQuro/OHTLM+fx9ryR2zu62R/pjyvFdek0Ib14qnCRcE+C7jTAtCiorulSOsM7hmOX9T8p/81zUfvaBGJqt9duWeedy2wFGs3Mkw2NdR0awWcBYArsrRqZz2nOql+c616lDxrt8aSTF5CWzgq9TpxctBXMpsikytCZBlPnIUojESI/AKRpVSxFmNU4bBgJA1teNdrh6QGfuY3pjlxMQAvLUGe92ZKUfksFZBXfy6/iPMAszgo5UWdNz7L4mCskcW0dZIYJtCZ28bb3vqGKE4Sfurffg2AtztzIGf/faNz+dVq+fQrTToAZFZdWL6h4pzVUvOV5gVpav52ocOzoFOs4Xfn4JY1cKeZXejS8CfmPX7i16f52OdbRPm+gqJqC1Y9b6fTPEm9DJbVzF363Lb2mkmwF0FU3R6sC/S//q26BFdHKa+dts/Akn0/Z/C1JtNWtXhuHwqTW4UVkBc1Rapg6CQBT6V85+tHaAU/+esznJj3KTodCpCLCSYXxNYFn4kU+MYRjBWuXiVvZdotWwAAKeFJREFUc8uHqefj38jOi8OaLY9rmXYpjoFLXBlmp9rcdO3uL111+fZ/f2FxsOq4yskvCLWOEwc/14vNzAGl/DTwXTOvswD/34C77LEsQbwa3HnTcM7cKgO31IazS4qf/o1pPnZHDu4qY+fiNLMFEQV7K1bPOClLYssCsWoPahXAk/dVAWbxwtZ+5q+D7skAc7I+pXieLe/VLGYudwz1IfplxWGeCV0957Ac6lmm9Itsp1EkqUSn8M7Xjvh/fqzLlnWxy5vbBGxaSelnKX6bFt5mmqXx4zzraXFZzqKsIMtSUt2qhezzldvpUH3EgTsxzkHxPS/dMtc88Mcfvb23eX3nawM8v8Xxyo+FiCeMGOHrpHawqhfXqqKqZwW3Kb3vqoMiSuekyE4WzJ0gZezGPWj4vU92+OjnWkRKZo0LlUKq4nG1513NWMo17rWaZNbQ26IyULMiWSYlTLnlnfjr4ruezVyV1KlnMqtp/ZzNqqn7XJ/XS2xLYFuTgdnKykjmsm4ltSr7nkvpm1SiE8u73jDkB946QLv93leDvJrez96osRBVUvtpBeR5Ot7mILeVHbYrILeV452fs1ECqWdYtzl4YrHb+7FnO956rS/uuuKN/Pof/EFqzbV2vLjIq653dQw5iFdbZCWI/1rgnshSiiypU2QwRYpUBrTg9nubfOj2FuGaNmDlTiZNJJV9dersvcpPpix/XeUrVz7rZPBTBXT+A2uWFX8tcFd+cJVzUE3sUAd9ob0nLoB8x2onTfKSWlHqbmsQWUmsEC6lbyyFVHFOoCreici0tp8avuP1Qx7cp/ncV5oVmUFda+fBYxYHGSuIwQWzsipzS92R6+98E+7qKlj0/mfnUUvLrLS84oUx3/UPN1lPL6QvuOUdXz/AAV5y8xsIo/GH7rx9/ooTZ8+2N85FeDp1yzguHs4trKp1+HWBu+aOGJRIK983jrlFgvJShBb81T1N/v2vz/DM0SBrGH4OgAuRzTepjz0u/O7iQE20o1GfO7iqyKoIPkUJ5AlHZRLUXxPcE8mNyTES1d3AytT8GvUpJv/RaoOyrT3mOryUNhKRBaaGKtidRhDCzdgWwhYuixIJ1+2J+e//ssu/k/DpLzedHs+vhVpAmQPdnReDIMLVr6wCeXFBUMJcTJJJyd6+tmyfFlx3ye7Bjde/5kONRuNZj/GzSpSbr99mp8VT733zq3cvzHRCZK6/82KC6i+p+atVK3AtcFdnllTALXImd2l4qR24//LuJj/xP6d55lgG7mdlb3e1yazOpOyvLINKxSSon0NuFACe6BV8DgCLiSeTvm0d3c/x9YkalVoDBCVT18Yv58DOJc2E9i62QcklTdGknEuT6mhmkXUJZWW2uWQxChNJrt4Z8yv/oss/ePko35ByQq6sdTcYC/GzyRVb1+DVsYiTx98YwWLPEHt7Fz7yV4feK/SuZz3Uz8rgAHv3XkYcLePHgl4/zj50VjCGYxchS1DnxUn1JuIS3Dmoi4CyCu5Cg7ssJRm4f+o3pnnqSKMObrk2wIV0ursuTSrau0ikTBRVPQfYa5idYO4q0lex9V9Dh6+yBisOSfE6swmLYfnFz1XZvPTE3U7Ek2xeShRjnD9uROawWOmYuwIqd6KdT57aSk4whut2x/ziP+tiLXzqnpb7er7nfa4x1qBPgySGSvFWOfhHZl1KsmKLTsY8FhjHFqU67Lj0cjbMTT/nsZXP9U2/szm0Vv3T/197Xx5lx1Xe+bv3VtXbX+9qSa1Wq7W1JdmW9w3b2AMYCHgMweAJIZAQIMQEMFsSZyB4PCdh8cmwJGMIDIZAOCeAzRjMwBibTcZ4Ed4tL0L7Yllqdav3fu9V1b3zR9W99d169VotWbJsM5/OU9erulVv+92vfvdbRX5w2hWBCZ/VLZzN108dO0yCMRkD3tbcrcFN47ojzv3j3xRw7b9UsWlbluZ2iMUkMQkKRrQ3knjvTFs30ERJrC8zBXYDcvOXJD6QGWA/PTzE01YTlTpGyyrDLLrsXpY0fxPUgpLW2DKtwWlJOL3wtJMlksWnMJYVKQXCBscpyyJN/tqXzcRWFK2tW2lz2azJ46SJUFtXEC80zXcR/Rg8XlcJrlDzFU4dWjLtOuK9AwOL63N9v3Nq8NGRGZnPr96Y63QnfvvIjlJ7SaCQkxE/FsTERrW25X5v4cTJBHeUlaMEx/+9N4+PfUHTkuzYEstqEgc9Jb3kid0bhG+jWXvbxUGJ5iaATSYAsylMGvBpMq4PpvZluZ2jA7F2VrZWtzBOtTK5ThSTktB2nceZ8G5lQM4AkrfJobtvyLgsFYvrj0dvX0HGq0CmFEKZ1GxBA1i7zMcNH5iAUgx33JNHCMAUCkerD0o0efy5db4li28AoYo0ujaBi5h751yGwSUCf/knF0+sGBzYODk1KjGHzKnB86UFKJbaDz4zzK7kxfP9g2OxBkfCS41XkpZ8oI+0nZssKI3rPdbuSnD8/Lc5fPhzVTy502sB7rRJMAK3w7LzK2lAFXXgNBeyT2ltCuQm4KcQnEVnjlBaxVvQg2mTsOXYQZL9Q+sXJi5+1vSgXJxqcsPDDU8XKU0e83IpIOscawd8fO5D47jk7BqE7sCqNbmxjac1uTKa3DdcXGf40NYtSc0hhwOlnMQVrzrd76yEV7a3tR3s71sw5/c6J8BLhRwO7N+DdUPL9p65fvW2jrYSgNC43QXxRlINbUUDxrHcNteOnTdxHRMmJJTDcMf9Obz/hjZs3pGLKr9mau5WMd4RBTQt/zKA3lRnEDY1sYFOtLcGLgF5ejLMtfqct6kwjWmzcLT5ts6sMpSF0BRpURUCdND8TdvLSXM4E8ATW7nUIBcWyHV3N9ngWN3v418+Oo5XnFODCMMoWLvJNp4COrGTm3IUSpekSNLdtG3cDyXyxTJ6eoe2tXcO7t2+YxcY844e4ADgCI79u+/a6Tq1dw8MLocjInOhG3crc0hVVztxoVlz6yAqrikJCyFcCeUAP9uYwzX/1I7Nu3NQ86ElcQRUWntzC9QkKhCJx9KOO1E27yaITC9ANVqtMSlYNnWBngPeim5kOHromISj6ypO2lqS5eInkwLNGp1yb9oqXDVxcu3p5PYjBnkoRRPIP//hcVx6Tg08jF2YSsKut5LS5IjMkRrkWqP7kkUcPWTwA4ZGCMzUQgwNDWFy2n/3D358907GBA4nzuEGdPX0wW9Mw3GL+/bt4nc1Jh+7yBOjyHlJlnuzBzPlobQ0e2DKPAgvxK5RgXseyeO6r1SxeVecSzkXuLkwqDNVqaDixSXM4tJKHMiwmETaW1ma27JrU56t+bc5nh3ST7U7Mo7PJQbTKrmQir072pqQVZQz2h9rZQbD4WUcWaEXlaZsg7GLRycwRoEfX0RysLgUMxhMNhDT9urY3s0RK2rE2Ts+MLTUxxc/PI5PfkXivofz2DXCAC+1oNCi0+FYxLkjO3nUT1PG+wKp4mx9iSU9bTj91JPuuvw1F+ybmppFpVI8LMAPq8EBwPVKGNn3my35fPmLi/pXo1yYQLEwi7xXh+MEBugiRU1YHDTFtAWFgjsfYvM+F9ff2IYP3NCOp3fOA9xJMLRx5rjMpiVaexubN4hLHnRhObf1pEnbW3HC+m+afzP7R5wHGVd0bBbPbvXXijlp9noipaWlTNvQU+57Q0vs/cZOLimdERnWlUiTqwbHUL+Pf/7YGD7xvnGs6qsDda3JwxRdSWJXlEoy9muSYVYyTEmGsYDjYJ1h32SIU9evQ1u18sXbfnr/lvmAG5iHBtdSbV8K7nRszDkjt4a5TW8Q4eNo+CXUfdesxJPseTsjhzMZF+aJaUleYss+F9d/uYpb7iyiFooWThwKbh1QFWlPB3asidbIut22FbtAYtU14K2kDQLuVvyDcnJ9LNHah1tlzgfpzfMjmQS2dUVljE1rcxlnymilnOwHdHo705YXHvFzyDhYlUcVaiFNu4bIv6g4opBrGf1WKU2uhQdAb3uIt712BjlX4b/d2Iatez0gH79bSW6jxmkYpUaG0dUR6Pce+MDsNM47awXOPH3o1tNOWbHx2YMT84Xt/AHuFfshG5t3Fjsv+uBXf3y/qI3vvfx150yirSTgx2+SxoEzK5CKJCy4ElufcXHdlysRuCGiREk2T3Cz6E03B1CRqEDYKWgW7eA2ONOam4E1RxS24uSpeZDG+ZGA2p4MytLKYDCcGiAhtGQCGPAzXaM7znpPURxqQ5dxckFidoyBrhi4jIBu7gA8cgRxjjlBrgMLVB3IORJXvmIWUMB1X6pi2z4vLkcRR4wbr7j9MPF8UqGnMoW3XzGFC87Gbaeefd4Ht+3dvev0NUvn/RXPi6KYwd5q3Pzjh3f19L728T0Hz8KWXWX4QVKJNvqRSVmIVA6lyEvsGHbwyS9VcPMdMbgdYQN5HppbUxMKbtOpLBVjQrV3AmSV8O00eImaTns4bTjbmLQPH5mhMB1gleYjdB+lH+moQkvDp64XBWGRRWia4lh0hS42dbRhEnWoXfit6EooHUjlIPQ58krhLa+cxXVXT2BgQQOoJ4WEEueQNAtOgzUWpdgO9DC8+rw1eM2Flz3ew399ROAGjkCDazljzRIUK4s/s6iwZXlBDV9Vr++F48goYN3c+hUSJ05U+dWHxH2P5vClW8r43p1FNJhIMnE4TVrgiLwK2ZrbpJ5R7p3Ob8w0+9lUJIuHW6BmGVjNMA9mOSuPJufBSjQ29CMh5ibuiqUBHR9genwCaLOgBExirxWKaqhMnP4GPRGYoQ8cUd3xKMRQq/BmTa6ziaKoRQmlwugO4odwHYm3/KcZIFS48ZYyHno6j7oOzIqdS1EblUTxOAwoMIWy14dnxtZ/p9h1zmcO7t9/xN/rEWlwAFixvA986qfjK5atfWdPp/y168Y3JaINEnoSQjgBZqHwjR+X8IaPduI7d8TJCo7dwi9xvyd9czI1twmmSmXpkG0rvjttSYFqSTlaWUIs/j2XJrfnwvz1eHoFSXdZbmskCE+PsVz2Noibxli/V7PWTgdeHV6Tp02I1G4etU9xJcNVr5zFD28YxTteN4USLdlskiSij+cicoaGjGNSFX69qGfFO2+86Y7xnoULjz/AAaB38NWoVMdmOpdc1RBuW1wYMXICRICIHDlezscsFP7tthKu/VIbhic8+MyJkxXSKWYpqkI1N6PgVqRIJqn/Advk11QzpBWg6YRIWUWyci/NfjIRWHosHd8C5c3AbQa9HU7Lms+jFpSmwKuUpk+BOrG+ZOwzCRSJnVxbWCyQx0AOwwTMVgyLFJDSRSgdBIEDHnJ0V0J86i8n8PbLJyOQN2LLCsII3AwoCgVHhejvLuHv3vvaxqyLmff9+WVHA9Ujpyjm98udCih5Py+94vypQz8rCNYALygwV8ERIVzXx5YDDD/cUMKnbqpibMq1tbahIc3eScuJA5j2fjqIKkpQsN3yPAPMzVRFZXLtLM4NAtgExAzNGLZ0fWYoypxIT/Bsh8ZSKwldJLJkMEmuSsboyaAHMwpylQH4xD4eURmd8R4xBxlflMeJykAURxLxE27oqI5dUTFV4oxDMQkFCd3gVYFB+SE6ihL//T0TyLsKt/2qjC3DDGABIBRyHGhzJUpVF3/0urNnLzlzxf2CH5Uefm4Az+UrkMHkf632XqY2bxn+UF49lC8WAMcJkMs1cP9THNd9tQ2/erSAehBnvrNWoNaA5wZlxoljrCaJ5qZ9LBn1VhLtbXftSllL6HaaS8cDLGCmJoNFVbJwexQcvCkGnDwx/FvZzy3HDwmPlUwHWanETAiq0ZmdIIG4LQqQcHGmtzmUlBGo4+JNjMGQcMYAxTkEIpAz41iQEa2OubliMnpPnEP5Eu2FAP/43klcdkEd1321Hfc9wQEegLsCBRHgD85fXvuzKy/6PHO8j7dX52fzzpKjnxoAuFORD/72weu8wqLPtnX0NtpKMygVZnHfkxx/fWMnfrqxinpQANwcon7wHkxZtXQuJY+a2TOeUBIdHejwxNZtNWmFpifJdjqZwbJ7AylKQukKm3sCkEeTuz5lRYlyQ+aPcjM8xVea48SpRSWmLCB5mok9sSlH01AN7eK3rCiUntgPu+Y4iVGR1AlEaYmuRR5Tl5DHlpWofUoQughCFw0/B4c5uOxsH5+9egznr50A6jOYnvLRt2RxY3Cg97Mb77v7us5qcc5owcPJUWtwLauX7mvkCws+fWi02nh0O7v+Vw+7/Ja7OvDw1jKQd3RJJST3fL3q09aShGvryL8kcEqZWBNjDqTgTqedNVWDbbaUZGpyyq8pYNNaOrVytJ6yDEjPB+OqxThDOWKXPaEjJgEiHqdpAVOk25mKm0bB1uKWadGiPVE2ZmQPl8Zgot8KEFnyJNdaMWp4Fa1bErrCIKHiDhOcAZJF75+xSHsDcecJKAQBIHyJ804K8M/XjOM/flnDI9sWyYGBdddPiSX/4/5tw43nis+juZk2yTe+++9oqxTWPfj4jkc+d9O9Ykp2geWdWKMYlZIit9wgSzdb1Q4cN47jpsnC7DDg5imq0lQWzVS5JedkFtKk5zB7m+v3ypLSa1YBznibxYU34/MYYxCm1BtLvQZSJeF0CDIxf8aFQAUp2SZM/H0yPqnxiDhqk2ZXwa4yxmlIs13ag5FjtO2jtc3tfckYaY2JLGq62nDkPmWgd5goWaWQa6AeTGKEvT70xer1TE1vWrPqz54zNp+zBgeABluLQHT9bsHi3quv/M8dX7p9w8M8lMBMyDETRh4zADbI4z9JFo6diaOBLHQNPjSD205aaH4kwVPKohPJ/jm0PVEBZkHK0kqdJdeEfU70h1mvqSXL1W4JXTDC1ryxUjZam3o9o/OYuYDSGp1wdHM+5eYqWkCbRa5ZYCYcNtlmke08juaiAI960zNwJqG4Apdai8djCefSJsZACtQbLg5NMPQuuUyu7Fl7NXKDvwOGjwU0nxsH1/KeN5+Bzo6g8VdvfdnXhhbnPnLJug50eT5KQkVlA5tQF23q/MkcAzymiLWEAJ7D0uZZZdboQpNyZY7kSdOCE5Q7p3hH0/HoNcwQZv+1gHmUYhX6ybhkk5cz3tZVrqKnqfhwaJNf+jkzbnK7HQoJq5Ups6HxdJIOy7SIEAm5TXNxi6crzcmjY77vYnQsh/3jq7DnwMKPIPcHX6tNygZjLz8W0Dw2AAeAV5y9AsMH9ocf/PPXb/3jN1862dXTgbofgiGmGPp3iLddFsVXeVzBjcGdOHCiCli0xDGN6U7c8LZ3MlsjK/u4fsMU02luntK4EXqSdoFU9ARJbkxHwfpU5mazA8hy4mQ4g6ib3gAzOT87j5OeF4Peeg2WvSAlDh/q5AnJgjMkxzIdSwA4C+DmKuhYdOnkwuVv3Do8PBwWqicfK1geO4ADQLlcwAPbpm877fQz3vfmKy4dbesoY9YPDHjNi7KEa2utbYrSM1LSmFE7d4qWoIV1JH4NSvebFoPWhMhKHiZWlab98d/0AhQpfB8BzilQo+fMBrC2lOgL01iTLC+oDmCyxjFyPNH2xswIlgI8SYRIgVymyr8l2noOYOtv3ACdgzMfXr6EwaFXja5Zt/59He3P3Oa4hWMJyWPDwbUUS20AgAMHD33rnX94vjPdaHzmpu/9pufQ6CQCyQ231JTDYTpoKtLWmmcn2jTRvvo8O5ZEZVCJlMUkPhesedycjh4iaY7eBPaMfcnJrb8vw4mbDiTn0TEGfCxlNVEwPeST8FjKsYmdHIht1Um/JUaO6buRgg5eSUJQYmOO9ZHMWzU8PlJGKs7u0hVulWLQxVeVdFBvCOQK7ejse+Ww2/bKv5Gy8S3HWX0s4QjgGGtwLQu6OzBVV19/15WXXPvWV60Z7mtTcFgdqNd0hE6yuOQKrqBVYONC+SmriMDc4G4Ki43HWO50cgz0OWzwI+M5TWJgZMMa00qrH4mojO2sv2ab2eMt9yY5Tl36oE6iWLsbLZty/QOJJie0x25VSNoVmn6cHGGoKUs0ZQQPUSrUAFXH8FgZNXbhsNv2+muVCr7ueJ3HA4p2h4djKf/02U9h/WnnPtRRdocHehsXn7t6W2FsYhr7x/NwhIOiUMgLBS+udWG6KzCYhWU67Szh3yoT1K3a/9GqsXRftM0yx+vuConZT49h5jzaiYGbY4xck4FZ2/T8lMUHicuAHgeaP2OmFQhI3WmYidVJJjAjE5cld0iilpn1f9baIolToc4lE6tiHY8uzlnUiymfq+OpvQH+9Uft4M7Jo51dgx8bObD764uWnHq8YHhsKUpa3vZHV+CB33z3m2cNLWosbOv5ssLmymPf7kFeAHkRdR2JWoarplvfXNrQ4swEAHRcJtVIbTDr56QnsczAqbTH0j7OrP6OTWNaSYtzSChJNmWx9jGYpEtzjASwMHuMuS4jjqT4+1AxNdQvG1lYI4qjg7sSysRsmyf5IIxF5kGpooL5UYkQ4OZfcNy7dd1kV9fA+2cfqv3H1e9583zhdFRyXAEOAKcN7ZG80/vOYw/0B9tGyv/m8ol8xVEoOhKeiLS3Bk6WdYAKs7RMim4wpECpmnh30wKz1f4MCkO1mD257BmYNkUeTmhslVJoniRIuDHSdm1oLyHh4ZY3E2a84dkMpLQbs3wE+sWSxmNJr0p9DnlD5kPrBaxKnc+Zilp2x68zM8tx1auX1aq9ne/asKl8y9Ke8efkhp+PHDFFPBp54we+jrrKi6oz84ax0YP/vn3rjnwpJ+CI+JYLGveQFF7MKmdmLRJhx55YcSi0omwqISKhMwn1yPJgag8rM+NoG8HEU6lb/fGmcQlFoR5PxrRXsplGJe9H2fv1PuLdjK5jN7Gl3k3GlDluezCphzPxZFKfgtWxmjrKzC9C0rDjxaqxg2teD5iaOY5ooLunr9a5uP1tpW7nVsggZOJvjjv2jhsHp/LUfT/Am970ZtW1+tyn+nJjT1cL/HVjY2NuzgE8F6YxlHHds2YgU42olWkz77T565wPzbOzwM3pdUinM+KKNz0szXFm+lnafDubg7d60M9P7x6Gf6ePH46PW9vZr60HmZ+giapRLk42tLlRJk6eUHL4AYfvC/iBQBgyBAGQK62YcQtL39E7uPSWA9ukLHe9//mA3vMDcAD49Z034/JLz8dTT25/YmhV/3ZX4JW12al8Pg4TjzQAiYhrxXdhAyEzsTiDulDgN8eZgGT9pBaBBtQEnDwBCufNYE7v42QyWe3AWev3njkRDnMOkLw2QN6zHscjTWw5x6y7XguqZoE9Em1rN9YVJNWxGr7ATN3BbCOyhVfbl4yX2/r+YmR4x3dmJqsYWPuO5wt2zx/AAeCOn3wfV731HRjs63i8d0HnM8sHei8WmC76jRqma4AfUv4HqigsaQIvsn/wrFYlljWEZ4y1wEusLCQYy1hN6Ngm68mRa3C02gdY52Z+dnrd1HFOAJptZUkfa31noT8Ozf4xIbwMCEKGfQc5AtWJgeWnjVSqi68JVPXbxYKLNWe+/fmE3PFfZKbl4x/9UwDA6OjYN4VwnKefvPfTP/nZT3ue/PkkHCaSwCqeNCmaU6hV4Agky0pCn5rjBmiJ+YClzqEdjhmb43XSbz3t6Ek7aRJfi70vHpu8QGIdaf4kcZAVn+OLZIf7klu9/8T1ru8QHpPgrIaRmR6csvLC4dPOPvdvfT/4ZrnSflSv8VzluDh65iOdne2oVuVNZ597zrUXXXjxcHdnFeOzIfwgsok7PPFuzpW/mI7HSG9bYi2UyK0YRAvScfr2DoApguCMdYF14WMmzLYkUdc7SMwIiAUjIy4lOqnF7dB8fkW2kTHpyXHyPJQMQcARhgyCh3CcWQi3Deeef8nwutMuuHb/GL/pRIEbOIEABwDGqjgw4n5taOjlH3vXW199qKN3IQLFkXMVijlAxcUXA4mkBUfWhWgw0nyUEQVoWpOz7P2Um5JLJMebLjO/2woNemo9yAZu82dm8SYFMSPnZXxvqckOUGCrzLce1RGPXPCOkHAdCQaOmZqLWl3AERKdnR3oHbz80IXnXfSx/gXya0sXHn262bGQ552ipKW3u4Baw//Wyy86a/SXjz67ossb+OymRza6fd0cY7UGfrvVQcMXyDsqerMs49YO29+g/RwkkhSpzejOkLZKWANTlgPKRUH4MEuD/ujUeGKjTj4j9cZrWmLamzD7HENnaFxKi9cwH5N8aG0OpGU1miR+E4JLeK5EzQ/x9B6OQ2MF9HYCAysv8Ns66n9dXnTGVsXy/+dwpY2fDznhAAeAvOfK+x566rZr3n6Z98zurTNrB3I3ev6D7NDMQX7/jjKmG0XkhGoJyMQem/wx6VqwtaNeVAHIpBfWtRnRxtqyc5x4CSOTM+3roYFTjOwDS4GdejLN4ISj25NdkdemiQsJXTF3hpRCYQwo5AJMNWZw+4MORNgt//iKc5RXHvyr9qUD35gc3d+odh2f2JIjlRNKUaice/pJcOVoY9Xgom+tXLFy7Zo1fX8/Wl+IqWkJTyShsvp3oav7dDeAed3209aXeEeT6cyyJtgTI4OqHrVkUSsa3ZcVImvFfmsXjEpx86bvInnXhkszGHDzlINHkutpkYqh4XPknRAXndGOvoGlf9/ds2wt9xZ/a/PmiUa1a80xRsfRywsG4ACwYsVq9Pcvnc05j21ed3bp0zW5/vpLTl8X9rVz5EQIKZVpzqWTIfQiNJQwrS9Cyj0zVqdUQ9MdCfeOAZDSWsl5qc7HFPx01hyhWOXbaLQf0mBlmZy8CcipSa7SkYawGwUILsGFjMInEBfjlBwy5LFbP5oIM7Mc49MVFCvnhq992cnX3/DDoU8/svV3m5cu7Z8dGjr2Ia/PRZ5XO/h85ctf+QGcjj9Vn/zQW3/5k1u/neuq8nO62/Y4j+5UUIFCwWPwnMgV70uGRsAQxItQINsOLjh16rCMMYzYym3njrGHZ0QgWrZvzpr3kQnQyg5O7d/0/VPeD9iL3+QOw6w7kd3FmXwmcl1Gk5pjV7oQEg6XUfCbiOqdhGHktAlDDs6BnOtDCB8PbO1G/+Ar6ivW/eENPX0Xf2L47leri1/+thMNm0w55oatYykjoxPorDLU6upT23c/fv47Pn47L4TB+Y2pg05bSUAIjkMzCnvHeGR9EQo5oeAJBU9E1UkdoeCIOEOIJ84bQd3zxEUviHPHdt0zy5tpezZTcSctnDtpR5IBZUY4L3VK0QJHlhMqFYeiAWtn3cfxKBrMTEGI6OEIGVUhcyQcJ4TnhHCdEI4TQkrg2ZEyxiaL4EyikKth4YJi0N5Wv+eg+hPZ33/qPdOz/NqFXSHcXPU5/9bHS17QAKfy+a/8AK7rVaanJr+ye9eOt4wf2s8Lro+FvTO487EGHthaRcUTqLgKBTeKNXedqPWcwwEhEvDS2BPT7oQzC9DpkhBUE/OUVuaHBXaEZOtaAJkcKWDTvwbkypoQhlqYCaqIRkYzuHXgVbxPCAXHkQbUnhsg5wbI5xoo5mfwyHaGn29cjJ5yGYsXeOhf0imXLOn7brFYfI8fBJN9K6880ZCYl7wgrCjzkWvecwWefHrbZKGQf//uPcu3PPTgwye3F6ffcNKijXBzh/D4dgfTfgV5AXgSkCKl7Qhwmk2CySa91VuxHIiWe4yMzjSotFh5zml5A2xDB7Go6EA+6ri0czdTaWpZi2tqeoyj/ZjuKqL0pImTEjwfitXwo3uL+MkG4L1v6kfngvZbl6469fGOrkVf8Ou1yQU9gycaDvOWFw3AAWDN0HIAOLh/395PrB1aNXDo4NNod503tG2/C44MMRNGDYt0HRbGqIYmtmstNA2NPrjN0zODnuZ4n5obNxne9cvSpIGmVDjrbZnnJlOSoFfHeksZV44iMeKWKSUGtwSzurJxyaGUhG49w7kEEGK2FsJ1q3jVJefjjDNPuvWs04auGRuf3lmpLjrREDhiedFQlLTUZkag4K3M84dPffDp6Q/+r+/tvfjWu36H8dEJ9FYEOgoKpZxCwQNcJ+LcQKLhzOIzrtTsxJWpBAeEYFbEYXagEzPhqzQgK6Eqqa5sJsaGxec0T5w0NUmuTxeO9j59d4poRxwfLjQtk4aWcJbkVwLROM8NUcgFKOV9lEuzKOcn4HhtUPnTsHPs5A3bD/R84TUvW/XobN3f0rew60T/5EclL1qAa4nTrVbf9L0Ni5QQ//qze59aec+9m0SXV0elAJTyHHk3AlYoFfwgbrGHCNzJApRBiKjEmiMS/q2jCAHqyUw4NbViRPxag7lFeCy324HzFoDVE8KM0Ro+tk+nrUDRwjECbrSwjh5C6KQHFbXlCziCkIFzhbwnUcz7KBdq6OpooLdvXeiVT9syW2N/0bHosn0ANlsZSy9CeXG/eyI7njkI3w8HNm7a3ddZdm/+0Y9+WX3mmT0l6U+jrezAEQxTsxLjUxKhjIDtOCy2tEQNbwUHHMHgxBqfWk4AxJZhg3LbksLsEFpuNH46jLV1aCrN6ElrdBo7YigGsa4IAbhODGoOOI6EKxRcR8WWEYUwZDg04WJyRsARCpWij67OHHp7F04vW3XhRM6bvtIrrtwLJnYy58VHR7LkRcXB55Jli7sRKrVz5dIFu0fGptYVhTxPKfnVLVu2BAee3d45MzVe6e44gO9vEJidcdBWjDR1ky2ZWFAEtzm7TDlKmtJtDT8nS1E2hxZJuc+14yZt+9Z/NaWOK29EBesZM3mtUgKSMwgdPhuf6AiJcqGOqVodd28qobetHQt7OycHVg6ODixb7gjB3l2oLr/X8arjgJKMvaD8f89JXjqfBHHVV8bk9MTEoRXLFt/e2VFd/T+/+p0V/+Wqq/7hZRectemUNb0Ph7lKjXkl+IEEQ1T5FGRRqivDOg6D43C4DocjuJkESv/TnkZQcKehnKjdtHUky0OJtHdSn0ucPnpsEAJ+oB9xT3eZTECpgCAAwkCCMYlqxcXCBbxWZwseHlpzxqbXvO7Kf3jiwe+vyBWqq0vVvttnZ6cPMcZeUuAmX/lLV/bs2Q0hHPb4o/dhy4GGmGxUb+R+bfUzu3ZcODm+X/j1GuqNEPVGA4W8g1LBQd7j8FwBx4l6DoVKIfAlGoFEGKpkkcrtssh2TRT7zpCeANmxLjYXF+ahoHEXhAwNH2j4UXgCZ4DjADkPKHgKBS+Iu09HvXEKhRwGlnSE/UsX/7qtis3b98xcvWlLJbz4ogsQBIHq7+8/0T/RcZWXPMDTMnxwDDkv13Fw5OA/3nHnz7yt23aFEt4ZfiDPnBgfAZM1lEsuKkUPngcIzuGHwNRMiKmZAEEQFX13BIsXqTy2urAUx7YtMFoUUftZRYeSBWvMqwXgOJE3ljEFP+CYnAamZhV8P6o54rkMOVeiXJRY2F3Agp4OhJI/MDLuP9jd0y/OOe/ljbb2zr/zG41DuUL7if4Jnlf5vQN4Wv73bb8AY7i4Xm9cFvgzV8qwPsRUAwf3b4cjfLh8FrV6iD0HFPYeCBCEHHmPIedxeC6LKIzDIWJziO5mkGWF0UFhSinLqqLd7EwzDBU9d+OqA54bWTwKOYnZeoituxX2HAgAcHS0FVEseFh/ymp0tufR0Z5/uqOtcLNw3J9CqQ2DQ5ec6K/4hMpLZpF5tPLGyy8FgA0jo4c2ALgrDIIVU1Nj8q5fDMue7vbB5QP5vx0Z3oHlk3n84Fd78MRTU1jUyeM2HR5cbYlxGGp1BT+QcF0Oh3PLBCgEEIaAH0iEUkFwDsFixwsDeNynq95QqDcknPiuAEiEYQAoifbyDLhXQKFjEG2qgcGBpVCN8U9PThzafsaZ5/Lu7k7uus5WKNxeqbaf6K/2BSG/9wDX0tXZAQC36+d+/VkwVmiHv+WeYr6GflbwR9XQh847h7+qvaAASGz87UNQ4Sw62l1UigqOmMQTWwPMzrpoK0mEocTENEMhx1AtAoEMsW84QBAydFQcODmOiRkJGSos6hbwPIY9IwwCAuWiQM5j6OkpY+Wq9cjlODoqDTTC+h27N6jPLSn77vr1p+LkoaUbpmdqY8uX9pzor/AFKf8f4C3EzS0EgDEAPwSARzc/i9NPwVM5EfbmHCX9oIFNT25GfcZHIe+iUgpRKU76TuXS66TfeH1fT8N3nVk8sa2ASkmgv1dC8RpmXQYuXSzpcVAtMzy2M4CHEKuWFt0F3cUf3f3Nu65b3FF1GXPgugyVcgnLlq+B67rIeSEv5tX+j6zEdp4bONFf0YtCfu85+LGUO39+N8BY78zkcNvi7llVyE3jgSfLqJYcDCwKATGDXz3swFEulvY6qJaB+34XosRDDA2U2OCy3nGl1P5VJ513oj/KS0b+H9vFCkEazGNtAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjMzOjE0KzAwOjAw6aw7OAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzozMzoxNCswMDowMJjxg4QAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 158767000
{'hecke_orbit_code': 18014742140420941, 'n': 1, 'trace_an': 20}
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id: 158767001
{'hecke_orbit_code': 18014742140420941, 'n': 2, 'trace_an': 0}
-
id: 158767002
{'hecke_orbit_code': 18014742140420941, 'n': 3, 'trace_an': 4}
-
id: 158767003
{'hecke_orbit_code': 18014742140420941, 'n': 4, 'trace_an': -12}
-
id: 158767004
{'hecke_orbit_code': 18014742140420941, 'n': 5, 'trace_an': 0}
-
id: 158767005
{'hecke_orbit_code': 18014742140420941, 'n': 6, 'trace_an': 4}
-
id: 158767006
{'hecke_orbit_code': 18014742140420941, 'n': 7, 'trace_an': 4}
-
id: 158767007
{'hecke_orbit_code': 18014742140420941, 'n': 8, 'trace_an': 0}
-
id: 158767008
{'hecke_orbit_code': 18014742140420941, 'n': 9, 'trace_an': 0}
-
id: 158767009
{'hecke_orbit_code': 18014742140420941, 'n': 10, 'trace_an': -8}
-
id: 158767010
{'hecke_orbit_code': 18014742140420941, 'n': 11, 'trace_an': 8}
-
id: 158767011
{'hecke_orbit_code': 18014742140420941, 'n': 12, 'trace_an': -24}
-
id: 158767012
{'hecke_orbit_code': 18014742140420941, 'n': 13, 'trace_an': 0}
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id: 158767013
{'hecke_orbit_code': 18014742140420941, 'n': 14, 'trace_an': 0}
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id: 158767014
{'hecke_orbit_code': 18014742140420941, 'n': 15, 'trace_an': 28}
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id: 158767015
{'hecke_orbit_code': 18014742140420941, 'n': 16, 'trace_an': 4}
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id: 158767016
{'hecke_orbit_code': 18014742140420941, 'n': 17, 'trace_an': -14}
-
id: 158767017
{'hecke_orbit_code': 18014742140420941, 'n': 18, 'trace_an': 0}
-
id: 158767018
{'hecke_orbit_code': 18014742140420941, 'n': 19, 'trace_an': 4}
-
id: 158767019
{'hecke_orbit_code': 18014742140420941, 'n': 20, 'trace_an': -12}
-
id: 158767020
{'hecke_orbit_code': 18014742140420941, 'n': 21, 'trace_an': 4}
-
id: 158767021
{'hecke_orbit_code': 18014742140420941, 'n': 22, 'trace_an': -32}
-
id: 158767022
{'hecke_orbit_code': 18014742140420941, 'n': 23, 'trace_an': 8}
-
id: 158767023
{'hecke_orbit_code': 18014742140420941, 'n': 24, 'trace_an': -4}
-
id: 158767024
{'hecke_orbit_code': 18014742140420941, 'n': 25, 'trace_an': 18}
-
id: 158767025
{'hecke_orbit_code': 18014742140420941, 'n': 26, 'trace_an': 0}
-
id: 158767026
{'hecke_orbit_code': 18014742140420941, 'n': 27, 'trace_an': 4}
-
id: 158767027
{'hecke_orbit_code': 18014742140420941, 'n': 28, 'trace_an': -36}
-
id: 158767028
{'hecke_orbit_code': 18014742140420941, 'n': 29, 'trace_an': 0}
-
id: 158767029
{'hecke_orbit_code': 18014742140420941, 'n': 30, 'trace_an': 40}
-
id: 158767030
{'hecke_orbit_code': 18014742140420941, 'n': 31, 'trace_an': 0}
-
id: 158767031
{'hecke_orbit_code': 18014742140420941, 'n': 32, 'trace_an': 0}
-
id: 158767032
{'hecke_orbit_code': 18014742140420941, 'n': 33, 'trace_an': 0}
-
id: 158767033
{'hecke_orbit_code': 18014742140420941, 'n': 34, 'trace_an': 2}
-
id: 158767034
{'hecke_orbit_code': 18014742140420941, 'n': 35, 'trace_an': -20}
-
id: 158767035
{'hecke_orbit_code': 18014742140420941, 'n': 36, 'trace_an': 0}
-
id: 158767036
{'hecke_orbit_code': 18014742140420941, 'n': 37, 'trace_an': 8}
-
id: 158767037
{'hecke_orbit_code': 18014742140420941, 'n': 38, 'trace_an': -8}
-
id: 158767038
{'hecke_orbit_code': 18014742140420941, 'n': 39, 'trace_an': 0}
-
id: 158767039
{'hecke_orbit_code': 18014742140420941, 'n': 40, 'trace_an': -16}
-
id: 158767040
{'hecke_orbit_code': 18014742140420941, 'n': 41, 'trace_an': -38}
-
id: 158767041
{'hecke_orbit_code': 18014742140420941, 'n': 42, 'trace_an': 16}
-
id: 158767042
{'hecke_orbit_code': 18014742140420941, 'n': 43, 'trace_an': -32}
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id: 158767998
{'hecke_orbit_code': 18014742140420941, 'n': 999, 'trace_an': -52}
-
id: 158767999
{'hecke_orbit_code': 18014742140420941, 'n': 1000, 'trace_an': -288}