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mf_newforms • Show schema
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{'Nk2': 456, 'analytic_conductor': 0.9102945830425964, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 9, 'char_parity': 1, 'char_values': [114, 9, [77, 97], [9, 7]], 'cm_discs': [], 'conrey_index': 25, 'conrey_indexes': [25, 43, 55, 61, 73, 85], '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': [[5, [9, 0, 36, -30, 0, 3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504149416738930, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 5, 1, 9, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '114.2.i.b', 'level': 114, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 19], 'level_radical': 114, 'minimal_twist': '114.2.i.b', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 5, 'qexp_display': 'q-\\zeta_{18}q^{2}+\\zeta_{18}^{4}q^{3}+\\zeta_{18}^{2}q^{4}+(-1+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '114.2.i', 'trace_display': [0, 0, -3, 3], 'trace_hash': 760543505555790370, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.822', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '99.136', 'prec': 20}, {'__RealLiteral__': 0, 'data': '25.024', 'prec': 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mf_hecke_cc • Show schema
Hide schema
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-
mf_newspaces • Show schema
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{'Nk2': 456, 'analytic_conductor': 0.9102945830425964, 'char_conductor': 19, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 9, 'char_parity': 1, 'char_values': [114, 9, [77, 97], [9, 7]], 'conrey_index': 25, 'cusp_dim': 96, 'dim': 24, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 549789368434, 'hecke_orbit_dims': [6, 6, 6, 6], 'label': '114.2.i', 'level': 114, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 19], 'level_radical': 114, 'mf_dim': 144, 'mf_new_dim': 24, 'num_forms': 4, 'prim_orbit_index': 5, 'relative_dim': 4, 'sturm_bound': 40, 'trace_bound': 5, 'trace_display': [0, 0, 0, 12], 'traces': [24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 12, 0, 0, -24, -24, 0, -12, 0, -24, -24, -24, 24, 0, 0, 12, -12, 0, 0, 0, 0, -12, 0, 12, 12, -12, 0, 0, 12, 0, 0, -12, 12, -24, 12, 12, 12, 12, 0, -24, 0, 0, 0, 48, 0, 0, 24, 12, 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mf_twists_cc • Show schema
Hide schema
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id: 35731346
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738930, 'source_is_minimal': True, 'source_label': '114.2.i.b.25.1', 'source_level': 114, 'target_conrey_index': 25, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416738930, 'target_is_minimal': True, 'target_label': '114.2.i.b.25.1', 'target_level': 114, 'twist_class_label': '114.2.i.b.25.1', 'twist_class_level': 114, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35731347
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738930, 'source_is_minimal': True, 'source_label': '114.2.i.b.25.1', 'source_level': 114, 'target_conrey_index': 253, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512173305200982, 'target_is_minimal': False, 'target_label': '342.2.u.d.253.1', 'target_level': 342, 'twist_class_label': '114.2.i.b.25.1', 'twist_class_level': 114, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35731348
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738930, 'source_is_minimal': True, 'source_label': '114.2.i.b.25.1', 'source_level': 114, 'target_conrey_index': 481, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009948067365776, 'target_is_minimal': False, 'target_label': '912.2.bo.c.481.1', 'target_level': 912, 'twist_class_label': '114.2.i.b.25.1', 'twist_class_level': 114, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35731349
{'conductor': 19, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738930, 'source_is_minimal': True, 'source_label': '114.2.i.b.25.1', 'source_level': 114, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 85568392953596022, 'target_is_minimal': False, 'target_label': '2166.2.a.t.1.3', 'target_level': 2166, 'twist_class_label': '114.2.i.b.25.1', 'twist_class_level': 114, 'twisting_char_label': '19.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35731350
{'conductor': 19, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738930, 'source_is_minimal': True, 'source_label': '114.2.i.b.25.1', 'source_level': 114, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58546795189373046, 'target_is_minimal': False, 'target_label': '2166.2.a.n.1.3', 'target_level': 2166, 'twist_class_label': '114.2.i.b.25.1', 'twist_class_level': 114, 'twisting_char_label': '19.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 35731351
{'conductor': 19, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738930, 'source_is_minimal': True, 'source_label': '114.2.i.b.25.1', 'source_level': 114, 'target_conrey_index': 73, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416738930, 'target_is_minimal': True, 'target_label': '114.2.i.b.73.1', 'target_level': 114, 'twist_class_label': '114.2.i.b.25.1', 'twist_class_level': 114, 'twisting_char_label': '19.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 35731352
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738930, 'source_is_minimal': True, 'source_label': '114.2.i.b.25.1', 'source_level': 114, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 180143985128380770, 'target_is_minimal': False, 'target_label': '6498.2.a.bo.1.1', 'target_level': 6498, 'twist_class_label': '114.2.i.b.25.1', 'twist_class_level': 114, 'twisting_char_label': '57.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35731353
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738930, 'source_is_minimal': True, 'source_label': '114.2.i.b.25.1', 'source_level': 114, 'target_conrey_index': 73, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512173305200982, 'target_is_minimal': False, 'target_label': '342.2.u.d.73.1', 'target_level': 342, 'twist_class_label': '114.2.i.b.25.1', 'twist_class_level': 114, 'twisting_char_label': '57.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 35731354
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738930, 'source_is_minimal': True, 'source_label': '114.2.i.b.25.1', 'source_level': 114, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 202661983265233250, 'target_is_minimal': False, 'target_label': '6498.2.a.bt.1.1', 'target_level': 6498, 'twist_class_label': '114.2.i.b.25.1', 'twist_class_level': 114, 'twisting_char_label': '57.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 35731355
{'conductor': 76, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416738930, 'source_is_minimal': True, 'source_label': '114.2.i.b.25.1', 'source_level': 114, 'target_conrey_index': 529, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009948067365776, 'target_is_minimal': False, 'target_label': '912.2.bo.c.529.1', 'target_level': 912, 'twist_class_label': '114.2.i.b.25.1', 'twist_class_level': 114, 'twisting_char_label': '76.35', 'twisting_conrey_index': 35, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 326900
{'charpoly_factorization': [[[1, 0, 0, 1, 0, 0, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 2}
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id: 326901
{'charpoly_factorization': [[[1, 0, 0, 1, 0, 0, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 3}
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id: 326902
{'charpoly_factorization': [[[9, 0, 36, -30, 0, 3, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 5}
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id: 326903
{'charpoly_factorization': [[[1, 6, 33, 20, 15, -3, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 7}
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id: 326904
{'charpoly_factorization': [[[2601, -2295, 1413, -438, 99, -12, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 11}
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id: 326905
{'charpoly_factorization': [[[361, -57, 1407, 800, 186, 21, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 13}
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id: 326906
{'charpoly_factorization': [[[2601, 459, 495, -24, -18, -3, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 17}
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id: 326907
{'charpoly_factorization': [[[6859, -2166, -228, 169, -12, -6, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 19}
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id: 326908
{'charpoly_factorization': [[[9, 162, 846, 246, 108, 15, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 23}
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id: 326909
{'charpoly_factorization': [[[2601, 1836, 576, -138, 72, -15, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 29}
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id: 326910
{'charpoly_factorization': [[[289, -102, 87, -16, 15, -3, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 31}
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id: 326911
{'charpoly_factorization': [[[19, -9, -3, 1], 2]], 'hecke_orbit_code': 4504149416738930, 'p': 37}
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id: 326912
{'charpoly_factorization': [[[729, -729, 486, -216, 27, 9, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 41}
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id: 326913
{'charpoly_factorization': [[[1, 45, 576, 80, 45, 9, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 43}
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id: 326914
{'charpoly_factorization': [[[25281, 27189, 10836, 1968, 261, 21, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 47}
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id: 326915
{'charpoly_factorization': [[[47961, -11826, 7218, -2373, 378, -30, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 53}
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id: 326916
{'charpoly_factorization': [[[23409, -31671, 19197, -3312, 360, -27, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 59}
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id: 326917
{'charpoly_factorization': [[[1, -36, 549, 323, 72, 9, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 61}
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id: 326918
{'charpoly_factorization': [[[7921, 8544, 4200, 1070, 156, 15, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 67}
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id: 326919
{'charpoly_factorization': [[[6561, -6561, 2916, -648, 81, -9, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 71}
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id: 326920
{'charpoly_factorization': [[[546121, 281559, 32586, -2404, 246, -12, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 73}
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id: 326921
{'charpoly_factorization': [[[5329, 7665, 3180, 152, 105, -15, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 79}
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id: 326922
{'charpoly_factorization': [[[3583449, 511110, 78579, 2976, 279, 3, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 83}
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id: 326923
{'charpoly_factorization': [[[3583449, 698517, 95616, 12174, 1044, 48, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 89}
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id: 326924
{'charpoly_factorization': [[[1630729, 34479, 3636, -613, 99, -18, 1], 1]], 'hecke_orbit_code': 4504149416738930, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 2, 'label': '114.2.i.b', 'level': 114, 'portrait': 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tmJhKWuT3coGMUuywPBhgnNYkdz9Iyi5npsmIYtcyHrZ0asmwnYMBOwZb3hnA2Ki7e61FWTQ0fbPPCMx2N7Y546EpGoHm96eYe3vdRQVzPsPTLJoZMOJ84mnE7BvX/BcM2l8/zyu5fZOjvBybOTnF2usdhxWepIlnsJvX5CfyTYe3iBvcc6Fz+59+wrDh07vf3wibO33PCa7wzvvfUTLzQkvqHbP2kGX1ruEIYGpXjPVx8/8NJf+P1Pyne+dP9L/+PbTjrzy+tZ6rRZ7DRY7HgsdhwWO7DUSVjqRCyuJJxegQOLgrnZFX71Bxa59oIGx85Mc/Jsk5MLDmcWDacXYo7PJ5ztxUxOj3jZ5X2uvwg8WcdXPmeWapxacDi9JBgEEMeamqdp1hKmJmI0cOR0TLcP29a7NOsBxggQHv2h5pwNAYsrDhgrRVb6EMRgMCx1Qjavc+kNFUIZhA5o11zO2ThiZSA4ctIh0Q4zbUmrJvBdiGPBIJCcXpKcWjScWY7x/RG4MTdc0uellwrm2nUWl9scO+NzcgHOLMScWYo5sQQHFg1XX7LAr/3AMhsm2xw9Pc3pxTrzyx4LHcnSSsJyN2K5m7DU0yz0JMe6sLLU5Xf/YxB/3+tq97kzP67dxiX3CfQvGFz8WvuFhsrz3v7JMvgH/uqTvPSGF/MzP/Mzv/7Rv7vjP77vb79y3nNHOtv3nxzIl1024NxNCYl2MEZhjGVvjAQkIBDC4AiDJ+HkYp2H9ksu37nERVtHNGrgOhLPVXieQ7MuabiSQd9lz+Eatz/mceRsQDeO2HMsYP3MEm9+2TKXn9fj6os6HF6IWRgIGv6IgycNnW6Ty86VrIwSdh1WtBoOzx6B8zcZRmHCKPFwnIipFuw+5qOcBFfGOC4MA8m1Fw0YDiSXn5fQHSYcOdlixwZFsxGyEhjWTQ5Y7nf52B3wxKGEpw6N2LZpkSsu7DI1HfLGG3p8542GnRtaJNEkh05McOC4y7HTmuNnI46fTThwVnB0JeJFF8zzqz/QY/3kJMdOT3NmscH8isdiR7LcSej0Ilb6Cct9w1JfcGagWO7GXHPRAj/1lnlZc9h+5tSxHcNBfF29vaNeb0x9+fEHP8OfvO9vX2jIrHn7J8ngH/3Yp3jxpVvVl+/f+18OHj79i48/c0SdXgqZHylODQyXbzvD7/7EPFfubHBmcYrFToOlTo2ljstS12G5B8udhOVuzFIvZqEDx5YFTn3ESy5d4rtuDNmxrslKv83ZpTrzSx4LHcFSx0qE5Z6mO9R0A8NgFDPTjjhnvQYEvms4ftZFSJ9t6xQ7Nhk2rRtwZjngyX0tXny+oVFf5pn907SaIWHoMjOlGY7g4nNGfPiOSS7cGhMEhtkJSZQMadV8nj08ou42ufKCmKcOhpxZ9Ng847NjI5yzIUSpiOML4LkGIQzb1sdMtSS9oU9/4NIduCx1FUsrsNjRLHUSFjoJpzuwOEo4Z3Of77ppgZdc5FBz25xaaLOwXGNhxWGpK1juaFZ6Ecu9hJW+YbEPp3uKMysx1154mt/6iUXO39xksdNmuVOjH0zg1HcmXn3Dr6/E5/9aQx5PbnzVv3ihobPq9k8K4Pv27qVWq9VPnDh+zhNPPvuuA4dP/vfd+44xiiT9EawMLaOc7MVcfe5pfucnlrji3Dpnl6dYXGmw3K2x1HVZ7josd6HT06z0YpZ7MUtdw5mO4GTfgOjztpd3eOO1mnM31gjDBsudGit9j05PsdwX9AaCUWAIY0OSgJIG34W6b5hsG9ZNRzjuiAOnQp7e76PjJq+/LsRxV3h01wTbN8IXH4p5+WU+ZztDao4iTiKmpyCOXBw3ZnGxwcuu6vLF+1vs2AiP7AtwafC6azWxGPL0gYRDx2s40mP9lMNUU1D3BZ4nUAJiDWFkGIXQGxhW+preQLMy0Cz2DcMkYduWAW+8vsPbXhqCbrG4MsHZpbrV212H5Q6s9BI6/ZiVFNxLAzjVVcx3E66+4Ay/9RNnuWRbnfnlSVZ6DTp9n17fYaUncBtb8Bsbfmnzlos+vmXLlqOj0Wh4/gUXvNBQym//ZAB+6OB+ZmfnvAMH9v/Q/v37/uiRR58Ui8s9OQw0/aGmNzL0hrAylJwdSk71Iq497yy/+aOLXHVejYWVSRZXmix3fVZ6Hss9ewI6PUOnn7DSi+n0Nct9w9me4FRHMzU54Nuu7nHDRTHb1ivadZdur4bvSkARxhKtBdrAYAQIzVRrxL4TBm1CbnukSTCoc95mj5dcPiDSK9z92CRXnu+y73SfznKb6y8f8OVHfdZPG3YdMfybt3bZddhn/bTk9scUL7lYsTTocvDYNFdeEHL300PioMENl3js3DpiGPe59VEFieDAcYd2w8ERMBhKtBEk2hDFgNQ4nqbTNzRbEVs3Brz04gHf9uKYmWaNM0sTLK7UWe7aY7PcFXT60OnFdPoxnX5CZ2BYGkhO9wQLvZjrLpzn1390nit21JhfmWCl16Db9+kOXHoDh95A0R0IIl3T551/udlx7s6fOu+88z44Pz8fXvBPBOT/JAAeRZGMwuGbH3vwi+ctd5PfeviRR90ghCCEwShmMErojzT9kaE3FHSGgrNDyclOzA0Xn+U9PzrPi3d6rHQnmF9u0enXWOl5rPQdOj1FZwC9vqE7iOn2E/pDTWdgmO8L5vsQJQFXnD9kw3RCf2B4w/UB2zdo4kTiSEMYwV1P1jh6tsbGqZhnDtRAN7hoi+KqCzV+bcCj+wbMLzS5dHuT9uQy9z/lcs35NRYHKywvt9mwwfDQLsX3varPw7sctqxzWeh3WF6a5qqLB9z/TMJ0fZJLz+tzttPhoecmqTtNrr7QcME5I5B9njwkWDcdcWY+4u4nXUaRQkpItGH7xpBvuz6k11dsmtJcdT6EYYOlToOljs9K36U7UHT6km4fuoOEbj+hN0joDjQrA8PSUHKiK+gMA15ywTy/9iPLXH2+vTg6vTrdgU9v4NIbWnD3R5LeUNAfJAxGMVdddU0UJfJn3/Wd37G/2ax/3nVd/UJj6wXPZCZRj0T3f+DEkcd+d/70vumTp5dpNSRK2UDRGIXJf9tagEIYpDRI6fDw3vX8wp87vPUlS3z3q5bYsTnk9GIb36tT9z0avkuz7tCrS1pDl4mmYy+YYcL6QDMMDL2Rz9J8jePHDGGsOXE6xvcNIPCUwZGCwVAhcIkHDi/aLti5yXDO5gFB0uNLDyt275/itS/2ueriZT70JYMnGmzfPOCp+xWbJxWz7QE1VSeMXM72oFlz2LJe8MTukKsuqHPjlQv85c1DPLfFa64zuP6ArzwU8sUHmzx3qM65mxps35gwNxWyYzbisu0JSmkcZQBDw/eZm/QJI5fewOOZfa4tURhaIPaH0B8Z+gP73XvDhP7Q0B0aVoYwP1CcWTY0Jjr89Ovn+RcvCbji3CanFtp0+jV6ObgV/ezfHAmGgSWAKIa7v/qQ22hN/+7cuoeWbnz5df9hpTP4y8mJxguKrxcU4MFoQKzFj5w4dO97Du3+8vSoP6DuexgkAoFdYBQI+0wIkMJ20ihpUDLBk5Kn9s3x+N4m+06e5a0v7fPSS0ZMttosdRo0uzXaQ4/+wLEnZyQZjhwGgcMoMIxCTRgZosgQJ/Yexh5Gg1QC1xHUPMFkSzDVgg2zmi3rB8xOdbjlUbjncRepJ3jti11edFGPe5+LCEdtXvIiQWc45Oxikxsu0MxODqg7PqNYMd+NUFrwogscGq2Ax/bUeMVVE1x/RY/H9igwE7z4Eo8fftMSX34i5PaHm+w6WuOcOcWG6TpTrQYTLaj74DoGJUEb2HVIkCSCKBaEMQQR9jsGCcNAMwo0g5FmEGj6Q+gGMN+XnO1BoEe8+sol3vzSDt/7Gk0ctzm90KTbr9EbevSHLv2hojdUDEaCQQru0UgzDJL83z69cIq/+fiXpodB8v9527ff6PT7gz9vNl84kL9gAA+DRaSMf/jM0Xvec/Lgl9eZpEez4SGDBFJoIyzQhVAIIZCSFNyglMFRBldp6q5gYVDno3ds4SuPd3n5ZSu8+9UrXLajz8xkg8WVBr2hz2DopsBW9h4KgkgSxYI4tku9SZcLJQ2OAzUPGnXNdCti87oBMX32nYj42N01Dh5rMunXueYShxsu7/LQ3g63PdDmuvNrnLNxwIfvECjh025FrPQDtAElYK49oNvz0HGdN7/8LB/9YoOdZ2q88boBYbTI3U/PECU1rr1kHW+8psv5Wzt85bEBTx1r8OQhjy3Tkum2oOELPNdehFKAEAZtQGtDFKcXa2QIInshj0IYhtAbCZYDwVIPhDPiygtXePe3rfDySxJm2nWWuw06vTq9gU9/5NIfFivBIJAMRzBIL5zRKGEYakaBIYggMQ6nz3b5m4/fvi6IeM9bv/1l5vTZpb/YsG76/wyAm6VfZxStQ/Q+/IP9Qfxb/bN7Z13Zp1HzESJJf0sgUgIXQiKEQAiJkg5SJigl0uVZ4yqD7xjqjmB5pFjsTPGJu5o8+Eyfl1yxwrtfs8KVOzvMJHXi2GcwqtEfugwDhzBSRLEkTiSJFmgjbBZUGHxP06jF+F6I5wacWAy4+RHJ/uMeh45PobTPzo0eF+9QvPiiLsqf5+kDLTZPNrj0XNgwt8xSt81lmyWxNtzysE8wkEw2Y1537YjP3x1x9HSLC89zObUy4tmDLlvXT3HFjnnufarH/c8KgtDjoh3TXLTV56ItPQ6cWmL/CXh4d4N9B5s0HIHvSJq+oeaClJYYjLEXa5xAGEOYCPqBoDsSdCMIdYw2I64+v8u7v63Lyy9L2DjtMxpNsNip0ev79Eceg6FDf6QYjBTDQDAcSYaB7RsdBYn1+AML7mGoGYXW0Ym04tDJLn/84TvX3bfr1G81G278S3/w8Q/tObTMx/7nj/3zBfjP/I8/hKlPMzjymu9tyAN/EHVOTHqqTrtRZxhYzS2FQQhS1saytRQoJXCUSh81jkpwHYHnaDzX4LuGhpcwWRP0Apfl7hSfuqfNHU+OWD814F03dbho64jRsM+lOwxbNyiCyCVJijS/wCClxnUSjpwxHDotWBlqPndvgxMLU5jQZaqm2DTjsG2Dw7mb4dKdXbRc4H2fb7K0NMF1FzlcurPDV54UiNhl3ZSk2YgZRB7SSDAS5Xh0RoIzS4JLTIObXtzjvsfqbJr1uO7Saf7Vmxb44Bd7PLynSX/ksrjSYsemOhduHHDtBT3e/ooeJ5eW+Ny9PosDnyOnXE6c8HCVQEq76mljSDRE2pDEmqmZiMsvGRAEERdtDXjHTQHrJhTTLZ8oqnFqvsZg6DEI7Co3zIEtLbgDwSjArgRBwijUBGFiJVBkUpDDMBIMQ8EgcTh6osuTh++fvezcuT+44epN0cf+5/kfWTr6HqbP+YV/fgD/8V/7K1pXfr/4/v9XvHPL5LPv/66bnm1cusNHGwVG5YpbpACXwiCllQpSSpSUOErgqPTREbhOgucIPFdTcw31yNAIDRO1hKm6YBBKemGTQ8eb/OZHpkHHiDjmxZcP2LEhJI5BG40xNokjhUAqgeN67DnqsWt/jWbNoeVJZhuCuRnJummHTXOKbRsTLty2QiIW+cNPtzlydJLrLnC5aHvCMO7xwNM+k3WXmQnDZCukUbdSSGtJZ6RY6hsWOwmdfp2XXbrCI7sG7D6qmGzXuPaSSX70zYu89zPw2P4m/aFhpedwZqnNhtkG66ZGbJsZ8TPvHNBudHjqEOw5JnFdg1IGITRg7P8MxDFs35Dwkstiksglin2MaTAKXU4veAwDu6KNQpXLt2EoGAWCUWhZOwhtVjYINEGoGUU6fc/kzD2MBMNI0AsFy5GgH2uSwYio/8TkW6898f73Lp6Jaf74J4anGqa+8d//8wH4v/5vH2Hzxlm15+4PvG3v4YUP/c0jC7Undk/xmz/Z5aKtvZS1NUJqpPTTANJFKYOSCqVUqrclrmM1p+cqAlcShBo/TAgiQz3SBJEmDA3tGIJIE8QQxoJRJAkSnyipsXt/kyd3Q2IMOr2wlABXgqdszUfLh0s3QrsOE03JVEsxM+mwbhrO2RCwcW6FyCzxh5+e4MDBCa46V3HuFsnOLcvc+WzMmcUJXrxDMtXW1LwhvvQxShAnEmEMcRKy3K9xZtHlqovqvOiCHvc+VmP9lKBRa3HVBZqfftsif/AZzbMnWqz0NSs9xfyyw+xkk6l2nan2BO1GxFwzYttVIb4b4zoxSiVIYYMJg72ookhxdt4hihVRrAgjRRClj6EkiCRBKBmFkiAUNkANBUFoCEJ7XIMwIQxTTR/Z90chjCLBKIJBDm5JP0zQoz4vOneZ3/jJJb7t8pONYVd9SA8/pLVz3qd7J/5X0tr809/6AP/V3/ko0+2aOnDy1DsOHTnzlw8/e7xGc5IvPejgKsGv/ViHi7f2UDJBKo2UBqVclNL2URpcZXAdhesY3FDiucKeBFcQeIowskCPIkMYJ9YViUv3BOLEkCSaRGP1tiYHdyaFHAmuC74jqPmChi9pNhQTDcnUhGDddMy2DQNazRU+fV/I3U9Ps7LQ5vJzFNs2upy/dUQiVrjl4QZN12FuStFqjHj6ADx30OGyrYZBoLji/IjLdxpOn0qYX/YYjhq8/poeX31qyL4TimZd4nttLjtX82s/uMhdzw75/F2zLHYN29YlLHccJtuKiaZLq+HSrBtqvsb3NL6T4CgrtWTaWmkMNmGlBbGWxIkgjgVRLAljQRRJgsg6L2EkCCNDGEIQJYSRJiwRRxCV7xbcwxTc3UjSiWAQRMioz1Xbl/nVH1vkDdcm9IcThNH+mnGbfx2LiX8Zm42fPL77L5MtF/3Lb22AT9S17PdXvvv40RN/sn/f0Vq71aAfG2Kh+Pv7FWHo8I5Xdnnnq/tMtRN6UuPIJNXZVg+7joMbOfiOYuRapglcSegJwkjYkxMpohjCSFoHIS5svzjRJIl1FxKTOiWpW5K5M0pa2eM5At+T1HxJsy5oNwyTLc366YC5qR6xWeETX5V88IszrKvVuPwcwTkbXbZv0mzbuMynHzAsLdW4aINiqg2tRsSZw5Kzyz7eDggiwdyEZHIS9h0yLHc1pxdqnL+9xqte3OPme2rMtMD3PJSc5LKdgh9741lceZa/v3eK507UWN+NWDcZM9FUtOqKRl1S9x18D3wXHMc6TFKAFCWQYy/sREOSCOKEFOgQJYYwhihKLClEmjB7jHRqO2auTGpBxlaS9CNBN5b0Ik04Cpnwu7zr9Yu886Y+r32xodNvEoQ1gtBjuHS8Ztz2+43TdIzw/xbLM9+aAL/jKzcTxfoHP/PFJ3/n4MGj7dmGoh5pXCHoSY9ASm552OWBZ2ucWl7k37x9wFQ7JvBrdAc1HOXhOi6u4+KFCaHr4IVWmoSRTaVbxhGWiVJWimOIEkgS6yRobQMurU3Ww5mC2wLcBq4C17EAqfnQqGla9ZjJVszc5JDZqRXu2x3y17fV2XNoku0TLjs3wJYNHlvWw4XndBnEXR7a1aauXOamFJMtmGwFTE3EeJ6TJq5gGHgsdSNWBoZOP+bsssc5G1pcf9FZbnt4wJ4TbRp+hKs8hJhg52bF979mgasvPMtf39bioWcmWew7rGvHTDZiGjVJvabwXYHvSlzXxipKkdqHFuUG28OqNTnQ40Snq1tqLcaaOLHgjiMIY1PcI+vKjGJLKoNI0I0FvRhGoxgdD5mpd/mp71zi//2ePg3fo9OrMwp9gsgjCD1GoUt/+Xg7EvU/HIqLvZs//9kPvunN/3hFWv9oAF9Y6qCk/JEPfvgz79m9/8RMzbXWn7XhwI0FXeEylJKVwOF3Pu6y68Ayb35Fn5uu7LF+NqTXrTMMfDw3xvdcgtDB96y9lwE8iiRhbJfdKE497YTU+iNlbok2FOC2ScqUucFRNmHiuYaap6nXYlq1mKl2wMbZLmc6A/7ocy63PDLN0nKT8+YE56wTbF7nsWWdYMemEY63wkfvdjh4rMkF6yVTLclEM0HKgBPzBt+RSAHGCMLIYdu6Lg+T0B0olruGM0t1LthS4+03dfjkVzwOn/FxnQghXLRpEsWSF+9YZtv3dLnlsQEfvmWaRw832TwlmG0mNGsJNU/guwLPtbGKo7CBsxR5TYbBXmTaYJ2WxAI+A3mcWElnwQ5hYmtdwix5FAuGMfRiSS+GYahJBgFbZnvceNUyb3nFgDdco3FEg+WVGkFks6thZM9fEDrEicMoODqz4ZxNv3Xlte9QUdD5c9f/x5m49Y8C8OWVDp7n/qsv3HL3e756/9Pr4ljjOsIiS2B1thS4UtCXkp6s0QkdPnpnjbue6nHVRV2+5zUD3nhdh5lJn+HIZxh4+K5LGLuEkZMHSnGsiBJJHEuiRBDHkiQRJFoUWlsLclVisoyoTRapNFnkuRrfS6j7Ma16wOxkn2E05CtPGz525wQPPTPJlOdy2WbDxmnJ+hmPTXOSLetDzt28zFOHh3zuq3NMKIe5CUG7KWg3IjqDhC8+UKPlWXdIGxgGDm9+ScAXHrQ1MZ2+5uyyw5Z1Ld760j4P7e6xa59H049RUliQ6waj0Gr9739Vhws2nuWjd3W5/7lJji7X2dAWTNQMDU9TczSeC44SKEmaILPfOys/0qlU07pY4eIU6JYgIEoEUZICOxGMYsEgFvQTbMwThjTrA9762iW++zVdXnxBwvopl+GoSbfvEUYeQeimAE+JKVbEiV1dOgu71+3d9cB7zr3o5brf736g2fzmN058UwHe7XY4fbaL1vzAl26957c//4Uvz4z6KzRqiiRJNaE0qBRgjgBPgi+hJ10GruJ41+fkgw0efLrPJy/v8Y5XDXndS0ZMT3qEgU8Q2wMWxQ5RCvQ4sQctTiRJUgBcm5S5dVFTltmQSto6DsfReG6C70XU/ZBWfUjCkC8/JvnIHZM8c2gCEflsnzJsnDTMTirmpj02zEo2zUWcs6HLsfkef/r5JnFQZ8sWwWTLod2EdiNCuCHdYZPJlkEIgTEQxZJpXxHrmF7k0RskLHcVJ+brXHJuix//jhV+6299jsw3cVSUXhgOcVxjFEo2zPi8+Lwul5/b59kjJ/jYnXVue3SSk506TV/R8qDpGjzH4CpwpE3nC1GtrtOA0faiS7QgMRAnwvrniSBMbJJomAiGCQxjQxzH6Chgpjbk9a9e4V2v7vHyyyIm6i5h1GS5Y+VIFDspsBVRBu5EEacrbpIIlrt9ljp3rgPx2+decG086Bz/q5g2ExPfPDb/pgJ8OByyaX37LQ889Nh7b7v9K+1+r0Oj5hAlhliKNOgpgh9HGpzEFjN5SlNPBAPlMYgdzgY1/v7BJnc/M+Da2/v82+/scfE5XdZNKtoNhzDyCGOXOC5AnmQA1xJtJMZYSWDygDJN9Stjg1gnxvdiXBXSHUbMdyN+/9M1Dp2d4rFdkxjtMVMXrJs1zE4IZtqKmUmX9TOSDTMxm+cGzEwuc8vjmkefm+TyLYKplqTVkLQbmmY9RLgBvu/gKPv3jYEkkQwDh+EoItaC3lDT6xuWui6nF9vccGGf6y9Z4aO316gvKRwZWUAahzjxCCPb4zk7WePqnX2uPq/Pwzee5Mi85K9vm+TsSoPjiz6ekjRdgZfJMGmPfU7kmVTBMnlsBLGGSAuCBEYxhNpAEkMcIVXApqkhl2+z5+OaixPadYc4btLpWWDHKbDtCuukstEydxRJosTKyjitmRmMujz84F0zg8B973kXXLkchsPPfTMx+U0D+J49+1i3br361Cc/cd7uPXvbUdCl2XCJY4OMs4ykQSYCFRtb65GAkwhcZfBiQy0RNJRgqAQDx2eYuCyGdW57dIL7nhvS9AP+5Rs6bJmJ2b5pyA2X9nCEbRETwsoVm5W0tdLGlJgbg5AGJaxnbohBxjx7SPLIboebH2rx7NEWYdyg5Sjm6obppmGqYawP3naYnnCYmRRsmI7ZNDdk49wydz8T8L6b17Fx0mGuDe2mot0UtBoxdT/gvr2KUejgNi2ojBGEsaTmKK68YMiDT0/awqdhwkrXZWHF58zCFD/+xjMcX1jkwSfmcCUgIjTkAApCSX/oMNWqMdlucv0FA268fMD3vHKe3cc0X3ioxkO76+w92CQWDkGgGEQKlZc+lAPPNCdgNLE2GK1xRcKEF1Ij4vqr+uzYOGLLbMS7XxdQ9yTNuksYNuj0vHQldVLCUbnXbu9y1T0DdxQLokTRW+7Rue/e9rHjp8/7F299hzpy5ECybdvOfzoA37VrF7Oz094jjzz6Q6Mg/J2z84v4notMbOWfSKWJlAIpLWOrGCsREoMTgysFrjb4iaGmBI1EEGgYJS7DxGWQ1Oj1En77o1OYOGL93IhLzhkxMxHzjlcNOWddSBSJVG9LKDE3qf6UUiOk4FN31XnqQBPhOBw52eDEmQa1umLCF0w2De2apl2DVl0w0VC0W4qplsPMJMxOxqyfGbF5XZfErPCpr7YZ9pucv8XQbihaDUmrrmnVYlw35JYHawQDibvOdotmEqVZV7z+2iH3PK7pB5L+MKE7cFjpOZxebHDxjhbveHmXx55tcGSphZIaiFK97BIliiCyiZn+yKHT92jVGzTrARdvGXHdhSOOne1w+NQKjpvw5EGHT97ZQChbuMb4/EGjAQ3GEIUJ29bHvOtVQ2bbCRduM6yfgSR2CcIWceyy3HWJI0WUOGkcZAGdAdzGRGVAZwZA6sGXQK6NYqWzxBYd/86TTz422Lxl2wf37NkVXnjhxf80AH7i+HEWFuYvOHHixB89/vijUkmBcKTNTgqJFCbNThocCXHK5rEWOLHViVFicBOrAX3HUEsMcSIItSFMBIGWBIkk1C6Rhvl+mzuf0hgSPvuQHdmA0ek9y+KlFpnIKhIlUiniyEFqB9eRtHzYMWdoupqGr2n40PAFzbqkVbdyaKIlmWrDzETM3FTAprkeCcv8/t/VuPfpdeycgalGyt4NSase06iHNBtD6vUGvpIomWpwrByIIpfRUDAMEnqBoj/S9Ibatsw1PY6fmeBllwT89DvP8LufdDi64iOExpgInRii2CWMJKPAlrG2hg7NmkejXqPhN6j5Ea16yIvPD/HciGvOj3n3qwc4Kk6TQBohTFWUp5JOa4kQEt9VgMcocFhcdmzdTpLFPOk9lkUMlBauZeDOgJ2BOk6D1uI1RLHV/ElsePjhh6U28o8G/cFXR0HwzDcDm/8/A/z2Wz5Hu+nUDx068LY9e/cJz1W2lSrRCCkRwpCkDQpK2QSMVAaVgEqsNowTcBLb+xhnEX2SRvVZZK9F8VoLQi2JjSTRDpH2SVLbq3zLs5QCHCFsplJBrW6oOYaaSvBd8B2oeYa6L6h7kkZd0qg5FuBNwWRLM92OmZkMWDfdZ9O6Rd53s+bDt61n66RitqVpNxWthqLZgEY9oVWPOLWoOXDKp+bZCxqySj/BKHTYsUGzYXZEd+QxHJmUxSUrPYdWvUarMcm7X32Wg6dO8/7PbcaRDgZNohNibYhihyBUDENbFDWoSRojh7rvUvcTOj0bY3huYhNmboIjbaOElElaImHvtnTFVgRZkAs6Oq2y1DauSRKJ1pJYF/FOnIhSgJ89Lz3GIn0/AzfpzwVJYhsl7Pm2xsATTzwlVjr9t205Z9uBT/3dp4ff+fa3vbAA7wfSWzp25ucXFs78vNGB9F1JrEEKidS2OjCWFuCJTmu5E0GSypNYg5NYvzrJkg/apK9N/l7xvKiUs16uyAOlsuYGKkGtIzWOJK1pAVcJXMdY39gR1HxJzZPUfUW9pmjVJa2GYaKZMNmKmW4HzE4NOGf9Ig/tDfjoXZuYqvmsb2naDWHBXZc0a5pmLabVCHhoDzy5u8F5cybVvUXafBgorrnQcP45Qx5+ZpJBYBiOEvpDJwW5S6NWp16b5LtescSTe8/y4K4NYBRaJ7YcNjbEkcnrSYaBQ2NkqNcUNU/jey6+l+A7GsdJcB2bHVZKp0Vs9vwgDIJCzxXBuS0h1pkjpTP7tWTFZsDWGWiz1+TALgPa/p4935kdWZxrQbc3kKdPn/kvszNtb2aq9etA+IIBfDgcytFo9Ct/96m//Q/z86c911FoAzLBuiaJyA9kIu0XSJRBpUmFRBkcnT7XtoFWJ+TPkyzjZrLMm0GnmbgsWWGMoZR5r6y4mVuTJXSUTDOWilLRls3++Z6i5ivqvqBRF7TqhnYjYaIZM9kKmJkYsmlumQf3DPmVv1zP0eOTnDurmWxAu65o1hXNGjRrCfVahOeO6IxssZirbPyR3RJtGS6KPdr1iEGsGaR11oNRQm8g6dQVjZ5PzW+xfUPEr/1Qh//6IckDu9ZjUGijSRJNnMSEsSaMFKNQMfQl9UBR8yS+Z/A9he9oXNf6/Y4yaZ1PuqqmMkUIU23QTVP7JiURk9ayJCngE108WoDK9FEUAE+fJzlrk6/ONglXIrLEoLU9t8dPnPSmJls/e+NNr3GHw8Ev1euNf3A6/x8McB0vY8zw1/cduPPfR/2jtVZdYjD2S0tQGhJpr1glBbHKgGzQ0oI7/2LZcy3yL5mB23q0YLSx0ictAS3fGQN4KrvTwNJKFFtTbiWRk7aiuY7E9+wAoJpvRzLUfUOzpmk1EtqNiIlWyHR7yKa5FR7cPeC/fnCWPUen2TZtHZZWXdJsSMvedUOjltCoRURJyN/c3kIqhZt6/zmDm2wJd/n+1y5z66MhvdBnkAK8P1T0+oqO71DzfHy3zYVbY/77Dy/yyx8U3P/MerSRJNqm1aPYFpoFoSao2XJX3xfUXIHv2cym55g8Y+sobWWiLMqSc4AXKU97nk3qtGiRui1pIJ8BOJ06oPPkGim7k6+4yVrAzgGeYkIXj0bDE88crLmfu/P/+Y5vf404u9D9hXWz/7Ak0D8Y4CeOH8IYc/3xw4/Xa94IIZzSF0i/ZAnoSgsSKUhMcbVacGfLU3oF57USRfuVBbqwdRQZqLMDP/a5it7NtM5EUhRTpXXkFuAS15W2fsMT1Hw786ThJzTrFtztZshke8jcZIeHdg/4lQ9M8+yRWbZMCWaaJWlSc2jWbP1KvRZT90NcN+DE4hSuEiipU1uuCDKTRBLHio1ThjiO6Ea1tFNGMxwl9EaS+kBR81w8t4brTHDRlpj//q/m+c9/AQ8+t45ESwvwxBDFScrkmsDX1ELJyFO5BHNdcJ3UuVLS5gJk6m4JEOnjGhi3coU0KYTIk0M6TQ5l2eIkKb2vC8mZlICtdXG+cxzoMtAhSTT90ZC7732kfvGFO66X8h++48Q/COB7n/kidT9ofPm2O71wNMBRAtCWqRML6ERVga519p4FutaGxKFYmirAzmSIyYFuMjmSPX+ezyZFUUQlJUgpcnArKdNGiUyeQM0F39PUa4a6b/Vzox7RboRMNofMTnV4dN+IX/7zKZ4+MsemScVcUzNRF7RqkkZN0agL6jV7cdhUf8iDuwT9kUdNkV5kaRueKQLNKHZo1hQ3XNrjoWfbDCIrU4ZBwmCo6PkK31N4rpfq50ku3qr5jR89y8/9Gdy/ax2RlkRap83SRQ9m4El8T1v2dos6ekdld1KZUsi4rJtqLZBnSSGTATwFfJI7L6y58upUgpQZOklM+vO1gG4xAYJg2OWzn7vZu+mVr238zUe/MHj3d3/7Pz7AjdkNbJrc/8zn/3Si0XlFJ47QRuZyQMrSFSut5talZcsydnGVayXWZu0SoHUO7KIpmFR75ydDpH34MgV3WmSkcoCDSisGXQc8F9sJ5KUFVn5CPZUXrXrARGvIVKvLE/sDfvnPp3jy8Do2TDrMNTQTdWjWBM26olFXNHL2Tqj5Ma3GiLuf9Fjp1JiaKtLkGWB0qk2jRLFuRvHqF/W5+xFtu2hCXQK5pOZKaq6D63g4Th0pNRdvNbznR8/yc39muH/POiLtEKUVgLbs1TK5H8m8utBzJI6TFmFJgXKyY0P++bKLMJMqIqtKo0gIjd916VHr0mO+8lbBXa7sTMZfjxkLQRhz7FT/Fc/uOfIXb33XO37ijoePrLzq2m3/uAA/fvgkUi78XDJ47rt9dZJGrWkN/BTYStq0vC4vUVqkOju7yosrPpMfSS5DyNm7EkiOM3eK9Cwjl2tvmVXQFbo7qxh0FLY+wzG4rm0srnmampdQr8U0ahHNWkCrMWJ6osNjewN+/s9meeLgetZNuqxrJEw0TArulL1rkrpv2b/mxzT8kFgH9EIfoSRuxuC5Bhcpe6V+ceTS9Ea2XCCsMZWBfJQw8CyD+560NfFOtgGt4bLtht/6iTP8pz/R3L97PZF2CBJBmOiUxQW1SOO7Bs+1vatOGnc4ypYIKynT45N25WePpcKs/MIsxzpj4M5JqERMZXDncZUpnpffS0olzTnA08B016EFAu/wd19zzeMHhkH0n/9RGfzsmZPMrdu47eMf/bPLJ9QijZqTDp5JkEISS4HSFlxamyII0SbtKMmKekwJ4CI/UIkuHzBRYooiK2nKa2bG2uWgsrSSOOl4CSVtE4CrLLA9x+TVgzU3SXVzRL0WMNUeMNHs8eCumF943yyPH1zP3ITDXD1homZopeCu16ydmIG77ifUvJh2M2TXYcNdjzXxpMRVOg3iCo8iW76jRBFrh5teHHHeuX0OHK0z16DocwwSBqOUhR2F47h5wkwIw6Xb4Dd+bIH//Gearz47xyiq22RYbGikNdy+iwW5k61eOu9tlSrJVzglRQngogRyVumVAuSmCvC8QrFYeddamQt2p9DdZdcs1euxBlcpRp2THN33yOU/8H0/uu3YseNHtm7d8s0H+KB3nFq9tf34oft/b7rRf0tvBRzloJROJYFBpoBWUpZkSGYvGXSSyRGxaknL/GGTe9pjLskqtyRl7nFwC4NURe2Lkun8lJS5PUfjuhrf1fheTM2LqfkhjVrA9MSA5d6Ae56B3/jIBp7aP8tsCu7JuqFVFzRrIvfKrfOiLXt7FuB1PyBMEkbDGjVlLzIpSks/mWYVaaDpWC3vBAShYRiJEsA1npfguQ6uK+1UAenmAEfAFTsEv/ETy/z238bcv3uGk502o6ZkMjG0YkMtnTjguyb1/jMnxeTsnUkVkRfEiTyOofS5Ren4m/SkZKtqAe6qpLTVnCWwV4CeWb9V/Z6D3UDdF8T9AU/vWn7LLV+5P7n+2hf9PwcOnTy8c8emby7Ah51DRMP6dYOVp98m42eYaPlpdk6g0zoTVWLsDNi6bCUpkUsSC2qRLm1ZwqYqRcoAzw5xWRVmJ8GOeyAvx8268YvhQLYs1nV0OmYiycHteym4p/vMLw95z980+NwDcyz0p5ibkMzVUnDXrO5upIFl3Zc0fJMyuNXeNT8EQu54wmM58pjxqdRjI6orVJLY5oe27/CqqwY8uCekF/lM5B3rGi+wteqeYwHuKNuQLaRN0GDgoq2S3/23Xb7w4JBf/8B6ji9MMZx0mPQErVjTiMGP7OhlT9mBRm4WaEqRB8HZYzlQL1+YQuS9Ivn5gTEJWQZ2KX7SJfCX8xhrgrxEfkLAUEvuuH8vfmvd27xa6296/cHhbyqDx2Ef5TbOXzhx578brTxOq2HQJs6lw1qJgNw6SjNgGaBzrZ2DOpMgprChxlm7LEvSA50xS5ZuzlwAlQFcGVuO62S9nba/03MTPDem5kX4XkSrPsRxBtz9ZMJffLHNzfeuI9Rt1rUFszUrS6wFmPnkKr2LlLnL7B3hOAH3PTfJIHTY2Mg+zziDZ6ubLSWtuYrrLx4SawvwYSRs13rWuR7YhhFrcaoUiDb7aMEmmJ0UfPcr+7T8k3zgi0PueW6G01GdQU3Sjg1Nx1iQO2kcokwal5gU5NkxFEXtuARJweLjOwrmUiUbUcG4Ni93DxW15xmjJ2sEp5VYrER2YeLwla8+y1WXX/Dv3vEdL3u82xvsa7e+/ki4rwtwE+/i2IFbcf2JTcPOrhtNskjd90l0hE4H5pSBrUzB3FqXJUnB3hU5kmlt0mRCBdgl66FsX+XDgUrzCrNGCpmNdtNpzXcKbmVrMXw3wvMiam5IozHC8wZ85DaH3/yrdRyYn8b1a2xoCab9hLZvaPrQTDvs677NdtbShJCtX0nSlcDKk4VuQj/08JTCkyYPMCl9lezCzmo3wtil7o7YMDlkZdBiGIl03JqNFVw3SW0+ldqdygK8Erjayse3vLzPNZfM8xt/PeLDt8yxFDcZ+C5NV9J2bA2O74CnyJshnCzpk8+hEXkWOEsAlUmlKlbKQKeyAusKq5e1+di9ZDbkQK/8XJAYxfGzHe57ZPeNSRJvWlzq7nvgqUN8vQ2xvi7AR6Fmw7nXbh8uP/W+0fwDNOoJWke28CZP20pUWq9gSmA3pipRjC7qG7LgsbhKRUmSiDFpkoHbFGySZt9kGeDSoKQdPVEwd5KCPMZzrCTxvQDfHXL4TMz7v9DkM1+d4eCZKdoNl+kaTPkJLd+kqfcM3DIFt8yTQrVUe/uevXDazYBP3+ew70idWjqBK28Xo0B5PsbBWB0exQ4XbYM3XdPjL740Q7/h0E5nj/hhGjcojePIdGwdJZC7JTay5+KcWckvfN+Ay3cc589unubg6QmW4joD16GpBI0U6J409sJJXaZ89cuOa2YfYvV5kek0q33yjJiy0oncN19tKeZdRKa8io/LE5tESlKwx0YwMi6fvWcXV151/vve9Mbr3nB2sft1pcrXBHh/EFGrO/zNZx/YcvL4MztfvvMYF25t0xuatHNGpeDWqfzIQC3zcWiFSyJyQGfgN2X2NiJngYIVMto2FR2YATsb9SZlBnCduiYZeye4Tmw7d5wY3w/wnIBeEvJHn/D4wBc2cGJxEq3qTE8opj3DhKdppMzdyNP3Mq1TSaVJ6p3n4PZs9jKIQvYd9+mHPlN+6uJkSafMlciysKZUkxI5tJsOO7aEKH9EL2wx9AT1yBBkAHeSNFGjrI8tsxLgtYJXxdzEgB9/y4C33XSaD3yhy/s/NcPCsMnQqVFzFA1HUFcGPzaWzdM+WUcW5Q1ZlnMVk7OGXBl3WIBKLJWBt0RkGcgLcGcWavYzQWxs+9zIQG+kmJg6xrmz9+zcNhVt2bbxNYeNCRHC+4cBPAlPEav23I0vUp+4c/Gr7uY5kDLEdw2xdEi0zsFs5YllcG10zu45Y+uMuUvATr9QwdjieTKUpmQHmsoMw4K90yo5lViAOwmOSvDciJoX4rkhnVHIfU9JPnJbm099dYZR0sLzPGY8waSnaXqGhm9oeAW4a77E9yV+Kk1sYih1JlKAe67NfB46Zbjn0QZh5OI3zaoAM7sV6WxLBmGkcF2HV1/T46Nf7rPneJNhzY5mCFyDF4MbadxQo5S0vrUUtmIzG+5DcTwTLYm1pOE7rJ8c8p++a8DF5wR8+LYWj+yaYH7YZKQ8XNeh5gjqEvxswFJmr0pj8wmCEsirNSvjxVllRs8IatwRy16PM3UhWSyok7SFLjIQaMFIQ2ISFrse7/3bXa7f+vZPbNvae1Fv0J3/BzN4e9KV0eDJ69r61om3v6yHEYI4SXBcYcesJXaHM9sDKTA6ky2yCu4xWZLfM2CnEqXM4JXCH9ujY5k8TynrvNzT6m6DoxILcJXkcsRxIjr9iHufEfzll9rc9tgES50Wsl6jVVdMuoa2p2m4hoZnqHukrG2Zu+5Lap6i5glqHmmFnk7BrfFdq7+VE7D3OJzo1GxiJdW31cRJUT9j+yAtyGMtCUOH9W3B+VuHPH00ZhC5BOmMby/Egk9lk3WzRI0tSy7fsosnsyGjxNaHv+vVQ1537TJfebzHh25p88iuNou9Bh3p0fccPCXwpMCXthHckXaXOiWKi1SJtOx3DQZfVb8yzuQlQtOUAk8jSCikSJL1hRqIMrAb0Np2NM2veHz8VslKeM/ED7zVXHftFTu/xNcYHvQ1AX7wyGmfJP4Tt/dEc7oRAamuFBolFInUaC1wjExnjxQAL4O78lxnOrQE8NIBqfBCRZqYSoG+lSU61dwaJRM7ED9zM2TEfC/m7kcdvnhvi8/dM8HZbhNRq+G2XNoOTLi2k6fuksoOqHsivcu05DTV3Z7Az9g7A7gT43kxNS/EmIg7HvM5cqrO7LTAlTrVsaJo9C2xnSlZqEmiGAYu29YLXn3VgM88ENKPXIaRoObaflUvnSxVrFIq96vtHHWK42qE7UvNGhW09dvrfsC7Xjnk265Z5LNf7fGFexvc/VSLs50GQ+Ex9BwcV+EIO9LDlRJXmFRqGRSiJA2r9uEaZF5xwQrmFnkAmmlwq7GzewnU+ZUR26IWEwMaLWHvoaeb52688k98Dl8MDP9BAP/YzU/gqxWu23GWzVdp9FDl2ltrhTKZ1pYpe2fd7IUsyfawzN6rnASwvZNr1ARWAsoSsIXQqR1oh3VmcsRzImq1iFGQsOcEHD6p+NjtE3zpkTZnl5vg1nDaLg0labmGlqOpu4a6CzXXgrvm2pmEtsxUlu4i/blJQa5zkHuubU87cFLz9CEfXDdd5k0pRS8qKCgHYbZeWhAndpzzZTsCLtnSZ/eJBsOaoBEL/MgQKFJrT6fsnbkpmQVZaJXcZ08NAK1VOn3AZRS61OsBP/j6gDffsMKtj/b5+JcbHD5ZY/eJBuGKT+w7jBwHqexUXwU46WPG5Ll0oQj+V91yN6UAtaYkS8hYO/uZbXzORbtJ0ixgDCRp5VYCI820e4pp/4nJiakf/t6ljvmL6Ym1PsDXALgxu0QY9v/dlz7/27N3P+kjnJDrz49wfPAdiQ4lYahItMIgc8bQOaDLwJalgFKkoKb0OAbvLFLPNZ9NalhJkq4gMsH37STVOEk4vQi33+lw4Hidux6qc2K5zoGTTfB9VMOh5iiajqHpaOsiuHZwfs2149osiLO7TO8qBTip5k7B7Sb4rmVve2GFHJqHXYcbuLJqD+YShaIePHcUMidFp32Nscsl24acv27AMwdjBrFLKxIEDnixnQmoSgCXUiCkrDA5jNtvIg9msz7KKHEJXI92PeT7Xxvw8su7nFjucsfDHgeP+dz6WIOTizWSoYuWDpGnEFLalSLtypekGU/IZctaIK8EmpSz1JnbkmlUXbqn/bWkAI8SiDTCSZAq4forAl5xdcAHPrN78t3f1f1pzw0+sBpFXwfgd9x9K2EUf/df3txv3vfkJB/+gubynSE3XjPiku0Rm6YN520P8I0kiVL21jKVJ2WgZ1IkBXaJxTO2rn4yU4rYC9bOpYhKcP2EKDEcPCZ4+qDi9ocaPHPI47lDdbqBTxD64HqotouvBA0FDUdTL/nAvpPVaWRls7Yu3E9liecpPE+mF4AptLeb2Myia3V+zYswOuTMkiQwPo4j8aTBKdlsYwSegzwpOU5J6ocLHOamQ6Qa0Y9cBo6wTkdUFIw5SlcykFKUoths2BFFTJS1lmWDkdxE5eMnBoHHhqmQc9ZHvPjcgGE45F8e6vDMYY/bH6zx9KEaB4/WiGIFvsJIBUKSyFI2KE9SrKFVKuI884GzR116HLtrDZHGIWHnjojN0xEX7Yi46eqAy3eGzLQMDz77HI89+hEQzy9E1vzJb7//Nm59uKPuefwJ8eBDs4yigBPzmmcO1rj1oQYTruacLRGXXRTy2msCXnVlCMa2RdWbpDpbghbEkQV8FkhWGLx8yRsLaNL5Ja5jQGiENEShYTCyjH74uORvb/MZRIonnqux/5jPQt8jSDxwPFAuqq3wpKCuoKEMNYUdZ6bSwiNlWdtzhU16lMHtSrxUlvge+B6pa2JT5q6j8dw4zYhG1GshZ5cTbr+/RafnMzUhcFIvPiv6Es/HbLoUEGpJEChmZxSvu2HErY8MOdppMnSllSkOuLHBjTLPOvXYZWLtQsqzTmT+N7RxKiUTSSLxEkXiKGLXjn2IItdaqW5E04t4+WUx118c8NYbR+w9Jnlyl8swVHz49gaHTrsgJIOhQxKqrHwT42QAH7OMyunbCsABoxGJQWiDSYFdbya4rkYYzauuCnjtNSMuvTBi25aYCRdm2wZhbNzyhus0J1f2iLn1L1H9M5+Jm+vf+o0B3HUM66dbf3T4WHzFSLjgASZBG81832VeGw4tJdz/tOYTtyfMTccYbbjqgpB3vWaU99rNTWiuvCykWUtXHCPyHNjqcy7y4TydgeDJpxwWu5J6TfLQLpfPf7XGKFKMIsWp0x5aOETGRQsXHAfhOzhS4ilBTRpqKbB9ZfCVsTXgTur5OgVze1lfZg5ulfZoipy9PVfjeVmBVpKzt+dFKBVy5+OKzzzQQnmOtdsq+vv5GTzzwpMkczwUo5HLm18y5HP3dfnwHRP04xrNVIe7mQ6PsqSMybuFhJA5wOyfkiWtXwK4Tkc7OJbJXUcROw5OnFigqwSl7CD9qVrMSy6MueHCCCMC3vHKAaPIjnP7+6/6PLzLo+4LFrqKJ5/x6A5kqpIEzyvK850nbGvglVdGzE4mtukh0bzrNSOuPD/CaJib1kxPGhxblGEt1SBLJtpVaLI+uEKoyT+KYn78G2JwYxaB6faeZ//iws/edkodOWkwysFeohqk3R5DG02gDWc6mjMrdmjM3qMNPn+nvRJNYpiY0lx3RUirbuuA10xPli/11HVY6Sseedqj21FIR9qZKMaxzCQc7FxgB6SDlBJXCgtmafClxpMWCJ4CTxUz+izIRdHw4NhGgKzxuAxuy/BpWa2bMXhSusf4ToQxIScWPMKghj8h8dK0t0qr8ipZTEFBXiXrNO9O14owcplqKbbOhnhixDD2GcaCumOHYGY1JFlCS8lyeWux/aL9G1myTRfZU63T5pNCGsVxkuYNVDqXPSaKE1RkcwmOSpAyZsusTlcMzcXnjAjNEOloOh3BI087rAwkKlcs1aC6cqbTYqxmTXP9FRETUxoT25W9ruyxs5/dIYkkYebMUcR2AFLGPHego555eHDhO9/+ve2n9g+7V5xX/9oAP72wgJSd31pZfu6Vg8ESiDkQbpqtGNNOqjxoxxAbTSdbgpSmu2I4dWez9BXXAnhZv6UnRwh0tuUCac2pUEWQI2VqZWWgTtPOknTj1sw3Lj06aSe9It16jxzctq1L4aXg9hzyElPL4CmLOxovzY66boTvRxxb0Pz1rU1wPFwpigAzlydiFYOX/eFsSKgFmx2sE0Yu737dkM/ePeS5My36iUsjtpvS2ipAU3TiqCwnUA72stLFTArJUoFXdtd5LYzjKNzEzktxU6ArWSTNbN14+lzodHBQgiMMwiTMNjTf/jINIkllJiCy/TPWOOd5jZEArUgih2weSxxJogzIuojfxmM5IeyqHIZLPLNn9ytfO3/0t2QS/+TXZfDf/JM7kFJ69z4e89j+dQjXR8iCFfJWsVWaKvXajS7eV4bELYF7TXxn7JYBvBq82OFBNpBSAlxh08q+sNWCrrSvHUlaU5F2j2eFRA6lOSikO7MVXfUFwGUuW3zP5C1tnqdLg3Ni3JS9PSdCypAjpwXz3RrCcfAlFXkiy1+rdLrL0qECvNTpCGOXmXbAtg1Ddp8OGCYOowT8ROAmBjdOdXhM7iwVKXRV6VTIYjtr4ZpKnb6VRhon0SRKopxs+3KVFqvZbWWULO5CalQKcpH9beyULCFN7nplQM8csLUAXiT3irgsAzIlUGtTfZ1p3EQ7XLkzZN3UPkTnU55nVud7VgH82WdOIAScPilpeD5ayIrFk+Tp16LyL3u0hZNlIH89WULalVMqrBcCSZEitlOpwBUGV6SgTSVA9jx/LyX7ohSUvMHWU8KCvQJuaR+9DOhZ8JmCO+v+cXQuUVzH6lPPi4iJ+MJ9dc7M13EnFF65hqPsoDCmSMup61L1ZZb0GQV2gu0bX9rnvqdGdOMaA8ehHmvCNJ2uZFEQlRWc2VF52V/KAs2i9NRah+lMFQOJsn/T0YJYCZxEprvY2VqeOAV6kUzTeYJNSl1KvKXPZRncJt/woLxQr2bzotAOCgCXGduscRFkScFE12n5LtHg1JqrRQXgf/LXt9Nq1l/2d5+/65qaipnyrOzIK76ws0kysz5PuVLquM5M/a8N69K2gWmyQIDKHoXBgdxqU2nK2M43KTRuNutQZQM9U3lSBnY+B0Vh+xHXAngWcGa628lkiUn1drWW3HMjPDfkdEfz2P46OJ4dAS1Nnp7PGZwqi2fMVfjA5b5UmXviUeRy1XkBM5NDOssNBrGioezOGK4CldgBSioqAxwL8vwPyRwceZmENvmUKq00iRa4WpAoSaI0iRLEKcjLxWtZOYTMQF4CdVYyIdApyElLmrNMdJG0qxRjVOpXymxe+swlTBk9ftHKdOty8JveNRu3v/JlC8duvHd263esDfAoChkMzLeHsbkyDCNqjpOO1TXFcpptgYGpsLdGlJg8NfTHQZ0uLWUzqbytiU0eVEeuqRLIM8ZystqItAY8K/W0zcVZp4qVJSrvXimAnTXfWvZONbdDrrczS9AydgFuN69OjBBE3PxVn/ueaSF9B08KO387ryAs2uiKir/xbGZaJ5+zeFahqRiOXG64dMibXt7j/Te3CBOffiKpJYYgJl25ylV/2SxIPXZBPR+Tg3Zk2hMpcnAnSqKUtowuZTpaQpdKkcs1QKYAeSXbnDF5tkiXZKpYTeblkXtFDUsmS1jF5HkCMe8ziBAiuTIKh9+udXTvmgy+a/8Jpidbr/vgR2//vtOnztLwJEJm8ysKxil3WWR/UJfSkWVFYqhcr+mXLTF4Cu4MALIECklR81AebZAxt92CJHtNyuDkbVgVFk+7YVxVBbcdpzDG3GnPppe2t7lO1nAQl+4RIREfv6NNYnxUnr0sB5hFX2PmbFQ0OGPtelra6VBJFmw6CFze9aoBf/OFgBUdMUxqDBOBG5OzuJQGGYu86MzahePrp6SwJkW1kcBJRzeoFOSOQWkrV+yYPVvBaLPHMi9NLizKcnVnUcacN6XkQC+kymqAV9f2KsgLMihXombEkJWIDHoLtMPe96075w13jfpHb601z6kCPI5CRqPRecGgvzMc9mjWvXzsgxYmL17XZe2dyhbyD/Q8+dLyxxclJi/JkxzoY+WZuRYf05wZ6MuzPZQShRZPK+4qw25SYDtKFE5KbgfajnvbmGxS5i4CTKfE3r4b8th+yb6TNYxyUVLiSY0zXqdREuDjLkp2zzudtKDcQJIkiih22bkp4pJz+zywt06kPIaxoCbBTQxOLFL5lnbhxKkOR1q5UPmTVXAU0qgY5ZHNhHSUzmdIqlT6FeDOaoFMWiaQMTn56iFK4EZkE7PWZu+1bqYsX8YlVvY8bYe0E28Fw1FAezDaGcfheUkc37qKwfvdZUwS4MkRM21A2n0Ts3lzRXljMXynuNJKH+xrfOycuctMPg70ErhVXvNd2G6FZBG2e14U4LZBpsi7xZ0c3LIC8PLwH9ttTw7sPFuZM3eC59jEju0KijBEfPKOBouLdYTvWN+9fBGO16AU5FSxCLPm23Idd+5Na7u3zey05J2v7vHY/jZBUmOgPOqJ1eJZOauSpODO1gqdeuLlaKiUTc7+ZjrvsTyVyt4lShcz3bPnMt9WPdXgMtvvKJMmsmiOGGfwsaaVIt23utCuiq8qo5d7gLMpt2GsGAwF7oKhPtUhjkf5v5YD/MF7b8FRkv7yMuumPFb6JnX+0sbWNKgcr/Gl8hG/Nn9n/n8hT8Yey4Aus3hlvFjB2LLM4EqUWDyTKxLlVAHuOekAIDfbOjDNcDoGN0/F6/R5Urk7ynbuPHcEPnFbi0B6KKnS7GX1QhzPYK5alrPH0nJb9LLKdNC8g584vPO1I/7ySwOeOlgnUi4DKfESnbpHApmY0nEytr1MlNdTnf6t6r5FZSZPNDi5hWhHW6u0JEAlphjWmc9lEfkFHY/pcXs+y8VylJg8A/nXxkpFl+fsXXz2LH6JEkkYSZZ7HvsfOsx9jy5Stjgc+w/sBi5sPHH/7+946NE+ew7breRINa+Qlrll+Ypitd5eBebyazH+fLX2fn6JInLgjI9DliXGzoLMbGqT42SbvKbaW42BO0vfu1ljsrYzQ/IWsaynM07vEcoN2XfCoRd6oJxUnpix8tjxC7d6QKoDjca88LQbp0j8ODRdwYWbRzy1LyTRPkPtUUtszbaTanAl7EauNrGUsaUmCzKLk15kA7MOdycfbGrfywamOpq0g8ggdTEhIJuulWTd/bkBUASXeeA5dr4ztKxqmKi4TNUnazN5FvvZoU4Qs+dYD789t+P3/tu/aVz3yu8e3HjNNgvwIydO0Wx2Xnty4P/c7U+c4fD8JI6RuE42eZQSc1dRbcTYBymdywqoS+yd/Uxg/+0yEApgF32MqsSKqjJUMwM5RY20KoE6f54meRSpF27BbQFcDAVyy/KkzN4q7ev0QpZ6mv/1dy0WhzWE71p5Ik1lVSkG53xtzVmZJpDNickZ3DoqcezQbjj81Nt7fOWxNouBRygdhlLipT2UxciHlMHL9fRC52W0Bp2CW6clzmVnRaQMbvIgPQO7kiJlcCuJktxFIZcphQ4v2gkLmZIFnoVVWDk2Y6vcmgCvHLMi+ASoewk7towYiS5T68//ufsffexeHQ0+mzP4Rz63n3bT4yv3L3HLvU12rFNM1u0VL+Xqv2zG/+rz3cqALr8eY7dCg4sC5HJcolQH0+TAlgKpivFjqgRqR0qcVJI4OcAzza3zoNJ1dA5u18nqL6rs7aoIzwv52B0uzx6og3SRUuJnpbElazPfIz79ks9bTUjB5sXIhALksZbpJk8ul+0c8JaXd/nLL9XQjs9QevhS5EkfJQVRKaAbZ3JRZvLKcl/UxGgFythVQRthwZ1NCUuHqRZjJYpZNMVkWtvHKWRVnuTOSonYqAD+G7uthTsprY090RC84aqA0NnPCIe2G5ADPB62GRqfpqpz7ixM1HXuJa/FRF8vOZl/8JJbYt/OCvPNqoEyFc84DyxFweY5Q349gMsC4KpUQ+2kdSkuuRRxVeGWuKXhQIXmtuztOnZq1XJH8/d3tljo+FBL3ZPSBlvPJ1EQonoiyw7BuG2X97RKdJK5KQ5TbcV3vHLA5+4bsdj3CZXDMJGpPSlS90YUzdhyPLFi2Tt7S+dsXvRGOpmzotLn6dhrnY7Dzo57GeQi3Tkvl5KpPLGrc1mPizG5IqoAF7YM9msCXNhCrQJkmeEh6fY9+oNZ1m2aY/3sNEmcAnz3nn3MzU5vv/Oeh376iUdOsWFaVbbb+HrL7BrYth8ke87YyS4BvXoXa0uULHFSAXZ19ne5w8UOd6cK7mxng4y5VYm5VzF4Nm6iGDnhKJu5PHRYsPdIDY2PkE7enFtUD5bjB1FyNYovX65FyUFOKXGRD4+XRbtZYqs5L9oWsnPjiMXddUziWRZPrExxSi5OwZ7lQq+sXkgWdq5J2dwUPrmWxfCdcmyjtL1otCTV3kV8Vuk9lQahRTpLJdPkYkyqiDE8mPzFKplSwtX4M7CrVJxAgE2QLe3vskNO/PQ5517zxIljBw47xmhGo2CDq8zr4mCFyaZLlBTz49b6Z9d+Y+xHY3p7/DGfFUIV5FV5IkrOhCgFmwWgLYOTjgIu++Dle7qltSqDuwTydL96Ny0Nzdhbpa8dJ0KpiC880GLfQh28Qp64JeuycsGyelzEKkYypcRZuUG7vLtZVkYbOpw7G/LGGwY8/FwDtEucWC3uJml2N6lKpYI5y5ZcCnJjShKlJFdk+lymq4rM7vbYJ+mKIUXK6jpbYU1OTEXCp/w8ZelSe1ve9lIG9/O4TmscveI/MNmGAi5LKz02bON1URxsiBN92HFSe833JK2GwyCwByIR1avoG2bx0gfMmOt57cHsIFDV2oVMEXkZ6DiwczZXotSEWwJ3Op+w2LaD1cB2igFB+Yg3R6cgj608URH1RsgDexSfvbPJcORBw8GRAldUpcn45y9/5+c5RVX9PWYZln3xKHaYaDm89aYRX7pvwEN7PEzTZZj4eIL8QlP53y90cGktzUFezlnY4DO9wJRl80RaPa5LrJ0F9ToNLmU6KlumwC0C3WoMVejuIi6w74kc6GVwf2OEWvr8KcCDSNIdaIYBxOluF85EY0irKZloBjhOQtyXZHvb/O+AedWPymy9CuDjEqU60bQILkUOmnxenirt3qBEWptSgLsAeVY2a3CcYoSyk27C5Kgq0N2cre1dKRtgel5IFCZ86f4Gzx1tgOsipEpBlc4NKQWXYixuGXeNMmQX3q7JM3PFln3Ztn0y98STxCEMHS4+J+b1L+3z5OE6QeyRSJehVngJY58l88IZY3D7uKrgU2UXm0YrO2PSGDBSYBRIU+jxfEWV2K0is3Oji1VDjgN8PC5hDPhfI9P5fARRIQtjz7U2MYsrI84sjhgORzh/94UP06wLntkX8MQB2DCpcV1be/18gH6+i2q11716/O5azF0FdcbY5QCz2IGgkCYlqzBn7AzgxeTUXKKkzG0Z2+RM7eSPxXM3DS4dFeF7Ic8cEdx6X4PB0IOmixRZ5SAle3CNLGbpe5aPWFaLkvms1UHyYwmfUgFWGLm0WiGvf0nA5+4e8eRBHxyPkZZ4qRZX2m6wW5YGIiGXByRjGURVODmOopAu0rJ5tqpkQb42FuxSF4k2octuSnrOdcHs4zmOVQAfA30FW2vgcC1oSmHLLa6/bMCx5du45Y778VSC85HP2xpiHUPDkxY0otCP4mug+msCPP2/4oOLyhW8JovLEtjLmjsHudXb5WymUmmFYVpRaNu50udOeT74GLjTu5tNoU0L/B0V27sT4boRsUm4+d469zxTh5oD0jY0u6US3kppbPlefvE8rFOdhy5KTeXWUUm0rAA9GLnceNmAN75swLNHasSxixGKoXBwE/LPJJKCxYuPsDaTl4fYK5Uxt2Vz+1ogtch1eO73Z4yerbYpg+dDO8fAXQk4KyA3lHfAEF8DY2uyvDA2P6I1QVTnwo0Jl7k9jDY452+woA5CyWiU7Ub2/MvC11ouctYuvR4PLO3VVgJ4qa2rvLNABdgVqVJO05fuagzcqnR3ik1QM0C7JVBnzol1TOyjUhGeG/HEYckn7mgBHkgXIVTeRaTSjVTLWdeyI5SdCpEfE5O/Vy5OK5i7pMGNsDtiqHT0Q75PvIMxDu961ZDb7x/xyAE7SSDSikEi0oKvFHRJBpxSHUhxeQF29UBRAXr2U5WCXst0P58sKM60t0zZXNjH/Bzq0sBOWbr4KwmwQpIUx+trBZqFj74G8kgExFoRRj7dgY9yXIwxOOtnPKQUjALodqN8P8pynUlpQVt9ZY19mIK5RekKza680pTVMd1dSBWRJgsK6ykDeD4nrwzytDWt2GzK7uxQDMAvwF1h7dJj1libSRWlYlw3Jkpi7nqoztP76+C6IG1w6QlTmhxbDqzEqsBKrD5iJZsuA7oouRpUtXjayqZV6qgkDkHocunOETdeZ1l8mFgWD4THSIOTiCLwSzK7MHUdktJFRvU8l61LJcEogzQCZbDZTyMQRmAESCMKqVIKKgv2Ts+rLl/4pbnua+RB7FFaQ4uvoSQquEw/tzaCKBYI4SCVygDuoJSkPzDoxCGKDHG6jyGmEo6UYD5+2kTlQ5XN/PyLlL5Ybl+NOSbVPWLG6k8E+d47+e7FWfNtpeGh2LpEqTFwl4bi5+6JSlBOCeCpRPGciH2nBB/6UosgcqHhpvKEvDVNlXcJzi/cYiWr6JXxm6kCvSxTypsDaLOWFndo+pIfeP2Am+9psueEvfgSrRgkylYZJmnyJ02IiEQUbkVpJTEZ0EsAl6bQ4jLV6FIbjLTnyEhhAa5LsVLG5LocS62xspUAXfboyyRYTQCtxeYlgOexix2DNxgZwkTbIACDM7vzDesHK4d+sdd7HM9RdgCL0PlWfuXiqvE/s/pDiMoJrixLJWavSpIye1MCecHW40VWslT7oXL2LgFbZsFlFdzZbL9Cb6fPpS60dxpchibm03c0eWJf3bb7CAclbObSSWuwy83FZZmCqLLS894qGlyUSpKzzQS0BXYF5BKtHcKRy1XnD3n7q/r8wUc8htoB7RAJyVDbGEHqlEySQhYy5qxkDkpeWGRMyt52VVEGTOp9G1OAPwO3NCkZmeoqlkmW8Qz1uJuSszklgijxw/NJk/K47XwQVmJniQdBwNvedNEvvvS6HT/m6OHJyWjYe8PiSoCUTm7PCUFlCNHz3aqaqaSl8g8qKs+LBEDZPRmrQSkDp1IHbiraOwd6SZKokvZW+U4PpY2olBmTJFmlYJKD23Ui9p6UfPQrDez8Fcveeed+9vcFlfHCsvS9y4GmKL8oHdNKgKfLtSHFXEGTdq0k2XDTRJGoVIsnDt/16gGfuavBruMuyBAjJKPExSGtF8mOdZKexSRL/GTMXZJOxr422MrR7LPJ9CKUBqSxsiUDsTT2bxid+uM6DVArq3MV7GtKk9J7ZUCLEoWXMV6RVrpImCkpcJ2ExeXwDY88uTDptPyYQCUEgcZx0wKr9Dzk6eU1ED5+RZVtweIDZ8tNOZoekyVlHSurzyssLkwpuCw9zxnb5CyuxsBtJ7Lq9NHagUppVOZ3qxglY1TK4ImK+fy9TXbtK7S3FNJ633kHzfMwFOOvcxFXJu7S82oDcsUTL02kcrSwtSmySOGHkcPF5wW8+WV9DnzUJ0wUCIdEOAyFwElS+y4jHzJHpRxVmSIETvWSMQJlilJRI0tsnt2FKVL8ArvTnhHoTKaUfPAy2MtAXgX2MlmuqcPXYvGqDncdEEiWOwYjEpxTCzHLSxH9YUxbZeN4qxVwq1L2a0a84zq8bAeNf8HViYC1mxuqrJ29zlg7A3vG3DnQVZnJC92tsiBSlqSJLIbmK5XguhEHTyn++NNtRtIlm6BVdM2nK0i5BrosSVYZuWvf8oaRPE1u6bIyU12XNbio1Kck2iFOXPwk5iff1ufv7mpw4KQDKkqlistQCFQmT1I9ngebYyDPvHkDONkFl74nTSpRMClrZ564rrC5Sf+OlgJhitVjtZmQAr8E3DLYV8dza5PqWsQrJbQahk1zCTMzMU4tHUJZAFusPjfP90fGlpHyFcpYIid/nla5rcWAZWCLMdbOEilVcOtCosgqgzsVfzvT2WX9XbpLy+KuE9INNe//XJsTZ31QTmoNylSemIrvnT8vf/cKS4nVTDQOdEpSJW88KPdoZin8Yv563gwhFUnssHku4Eff0uM3PuTRiezUI2MkgVbWNkyyz2EgERS2YQHy4v/tT1SKoHR+U/EoC8dHSlMwuCmdu1R/m5zBnyfgLLG1zrBVxtBaIB8nD1P9vWy/nyCSjEIHZ2bSwSQu7aaD4zx/fr4cUIqxv5YTV1lHlUCdFSfafRerQBhn7gzYBWubUrBp8sAya3xVqggyHWlQjk4ZXefSxMoRXZIqGWPH+aOjIhw/4lM3+7zvk20C7Vp5IlQuT/Km4jFLrKK7c0km1jp6azNQxSosgz5L2Ru01nl2M0/ha7sVeM2J+fF39Nl7xOMDn7daHBSJkIy07d2UCTmDFwVY2ckqvLKyXWlBXUgWY1I2F4VzYUnHlrqaSuLHypi8Lj3Fgy6TXAUzooofSkD/WotiGY8puIdDWFgRJELgTLQkUShp1FVe+P78duDaIM8/YOlDrbaCVkfTqwtzzJhEMaUgM92iu7xloCqKnZTSJamSgbnE5LKoDsx1d/5oZw0uLcPffaXBcpCB2wLclVZ7O6IqTyqrTmaXrXVCynKPkjzJnqc/qFT1jW+9qMfqxKVEaYXWDnHiMOElvO01Az5zb4PFngIZgVZEWD0+Xl1YBcvzM7nNAxVJoaw+JQs2TcriOaBTnzzbpbgqQ9NSWWNXEy3LA/TNmliqyJXn4Yvx4LM/NHR6CdKNceyHtp6hFNl2ImLVf71Kb49daTmAy6CXq8G+KiArtz3lgCmNiJCmor2L/TBXB5XZcJoC3EklwMyCzGyfG6fE3m4j5uY7azz0dB1d0t62qSGTJ9V6k7w1q8TeFYuw9LPnpR/K25cXEmW8GcKUg04j0+1jrC8eJy6Ojrn+spA3XTvgr7/ggQpBSIwQBNpBCWG3IMkCTVGAelyuUPLBs6I7k9mHWSJQlgrFpJ3xUmFukzpxJQzojMQytjbZz4oU/vMyt1iNu7UwarILKyVK58xiwvJSwnBkqNWoNjs8DxsJqkCuSpO1GTz7Z7Oi+FyqjDG2EGPsLarALlyU9LUyOOmIMSlTx0SaVFeXJEnmmMiSRJHWPfHdiANHJR+6ucXpnmf3u5Z20LsSFDs2jMULq3R3SXM/H9uUb5VET4nZV221mG3BWOm6t/vn2Ee7/cn6ZsIPvqnPvU/7HDgjQUSAQiMZCVnaRMqCKgO1KJ9QCpmU/3+ezUzPQ5nNhX2egTmTLRnA7M+y2e8i1dvp86w3UxTPKT/P2T37fIbiuhSrjnF24dZrgrkpxcyMwsmqxYwpTuA4qCvGgHh+cJevwDKgEZSWyKruzpau/MDn9dUl5lYZ4MdAns/IHn+e5No7T+hk44BVjJIJTmoLel5EkGj+9GNt7nmsbnvbpGO1t5S2a0cU81fyz5qtLOWLeQ0mL5+DVbFRJYNZuBbFHu/l8tlyGa1tN9OZo5JoYumgYocbXxzyY+/q8it/6hHE0jaiakmcuipSi9JnsyCvjHAwtiWN0uezr0UpNki769MkkA0wRX4B5EFnftGbVcmf8vCncfys6ahUZPGYzCopC5EmpTLDxJloOuhI0azbzvPxW/6PrwHyypIy9l7xIc2q4veCBcuDfdZg79L+83IteSJN3u1tt83WJYlSGvub6e50xnUeXMoY14u54xGXz9zTIAhdqDu59s7ZOw9sV2cux+2vCptkB30tFh8rbCqmqpbBDUZlVYbVWvFES6S2UiUDehw71Bsxb7txyG33DLn9EWVtQyQISSQchtkqmkOiKMgCy8J5KW9plbEWYQbq9HNKUGRJQZO+n8YiKdCz82uEQOfbD6aBp2RNcjQlzI2riPyzloFvSgdVC0ZxQqencXyDMztpUMZwpgWxtru0VULMssj/RiRJDnKzBqBXs7go6+2ytyxLjkWmf/P91NNUeZ7cyYBcANtRY0BXBbidFNyeG7HSN9x8b4M9p2pWmghbEisy7S0oTZAyq8Cdf7f8+IgS0L+GPslOiSFPkVfKZ8tSZSzxM14vLqVC6gSpHaLA4YINEW96eZ+Hdnl0wjT9qq0eD1Fk+0BIUm98zZI6q7FV2emRNkJTaUtbweaZVEkTPiKtIc+BLvLzrikdP1MwfJlIn1cZlMnWlH9PpB/RboPSG8QsdWKEG+NMNAPiMMR3NTrMrs61Ab0WmKvvmerPK6C3ByJj96xIqcLeIgsqC2AX4M588CK4lPlgdlNh7EpAmSVyyi6KtJ3ymoS/+kKd9326hRGO9b0r7E2hveUan7v0HXOWERkzVpfPtdi7km5mXH9nTL66lS3fdFdrdCLR0vriSmqixEUqzY+/dcD+ky7v+4xDFBcg1wgCIVE6GySRaYUSyHNQp7oCuwjk8BdpSj9jc9LMprD/pklXZ5MDPcv8pjlUUdLeogh6i9igIAtKmMrkVEU5GIERxYHUBsJI0xsZ3CE4uw8ruh2HlZ6dIZJFoWvpoipjj/2hNYFdzfJVGLwcVJbeyzzujNmLmXip9z3mmMgM3GpMnoztWa/SvWesBo9wvYj9pyWfuatJv+9CXa1m77zmu7S6iCLBI8rffew5fP0kT8HgJdBDSYuLinti0qaDHOiytH2jtFpcSocoSmg1Y95604AvfbXO/lNpUsEOqCYRgqFda+xn1Cm4TQF2k4M6dUtIkz/5gpM5KVnq3rK3SsFayJMq0DNgy7FVPj92MsPUeLBZZXCR2Y3CVI63lIJ202HbBof16xycqckGOh4Sxnb2YD4LZa2eOkzlD8nyH38eUGcnXmaaS4wzoKnIE5HPvivckxzcGXOL8mD2zDnRle02ZEmWSJk6JimTO05MEGlue7DJVx5PqwWlawE+xt5ZkZcSgkownF/01fRzhnDx9ZBdJfQq0Et3rdPsYeakpFuRWN2tC5miJYmQqESihSIKHF5zZchrrh9y7IsugbY6PK2EIsZhJLAVh6QhpBC5gZ2lflS+DGWOSlorLsiBb4QoyD4FnUnBVgV6kVHVebKnmJUjBLast4SjTILkv2MKHV7OilpilEglEEi0cYgSF2fH9q0r/f7oS4NA/gtPa+qeHOsSL1h3rYCgDOzcLSlLljX1dzESrli+MtCXGDsHdgb0YpeBqnNS1d8qT78npecxUtpOHenF3P2Ix29+cILEOIVzIhVCSLsPkCjS8lUGLzs+a7N3BdxfC+hjyZ7xlH1ZrmiyqVdpMZYoHJVck0vrjQvtEMcaz0v4+R/qsue4w90PS7QnUsjaLxBpxZCyoDIlWbKGJs+98HS1zT5vGlBmOlykF4CmGCVhxnGU+eRjTRAViZJbhFVizY5xdhHJtEBMCFt2MjvpMz3V/NLc+k0rKhYz/f0HTx1ItPkxRxl8Px13Nla1N16XXU3CZCnbsffV6oKpcpFU2dMuKgPLFmApkVMKKPOCqucBd1mqOJWEju21PL4k+M0PTXDv4027KY+07WhIF0cK6hJ8SbrJVbW5ePU9bYDOh+RUhxGptN1LqrGG6fHjlp6s4qI3q493RgalOYBiXOqVf2ZgdibGdwwPPeWxMizVFqRhZjZFvKg4tOgRFeB/I1dr6UIYk1/lusVKopySxCk9FptUVQuq8omzlfeyz2WPr+fCxnUeLos/uHR2zx5nsuXYgkkj8JzIDqVUJWCXZsityd6sZvdKa1J24CGfWZdLk3KAWdkWoypN5BqaO9thYM27KgeWaSls+jzxEj70uQk+e2cTU1MglEWncBBSVvoti/7Gr9ExX2KfIhpfjYvy26Z6jlYBIjuZZsxZKXf46HR+oEmZ2xhd1KgIidSKRDjIYcLbXjnkuYMuv/XnDqEfl4IpgdEuAalvnOXXE2tiG0wBynSFNqTZzXS0a2oA2WAzY+RUtkhRXRCy828oBZgZRpLsI4n84qxiraifGY8NjckSSrbIaqVnxyonicaZm3YRQqATECbC90zF1civ268bXBaaSTIOcjMmUcrOSfb31gZ2ntwRKcBL2rvC4DIpOSllcCfIUu3J7Q/7fPCLTUZJOgVfZNZgmrUUpqK910zNl4FeubDH5EoF7Guzn0mDu8x7XpXRxKwqoTWylNmUJWdFKFuYJdPiLKlJtIPvan7ojX3uf9Lj9setXZh540iBNg6Btu1oeRHJuHWYIjWXUkKgyKRJCeRZ00NJc2e/k4FWSJDGVEjCZMerNLCTjEBM8X5m+GQrjcYgtP23ksQQxQlSuvSGtkjN2TATI4QgSRLiSKfNDun4gvHTU4lkxyzBMaCXL4Y8Nb+Wc5IBvGwPlsEtip291Codrqse+Dh7y6QIMJ2IQQC//hcTHDzhY5xit+SK9s4kUgXYY4BmDTDnEC6zwjjKqyAf30CgmtEsF1+V9fjq2hQt04pDWWZxhUg0QjjIUHPu5ohf+uEO9/+sT2+Ufhkt88+V4DDKlvusuFsXIDcS0CmoDbnDotKA0kjyPYGNyHS4KSV5SjmD7HcqeKmOnDYlsBeWYXEUs1xL5biloA3jENc1tul4y8YJhFTEYZdhf4UodggjSZQUAxkrPPQ8EmX8vcwRqciUMTavjN5dU6Lokg9e2sYuZfOcuSuuSWl33tTzdpyIOIH3fqrF47tr1vOWGXMXzokrqrJEiSprizLYx5ib7ISI56mpz0+FWP1WSYYUDRAUxUxGpDvdUWFyLSyD50GnlhbkiUSL9J6kUkVrrroo4qe+s8PvfWySMElZHPKoMEER6EyLp7n2EshziSJKwBJ2jo4ps7kEoQvmlrLYJSSTLatWwopDspYcNqv2k81u2kAcQ5QYhoFma7NJc6Jltyh/0TXfhnLbdBce5dTB5+gNp1nq+BhMurtalX/E2JVV+QCl56tHBYw7KFVAF4A3YzKluj9jwd5JocvLSZ3KPQ0sawlfftDnA59q0Rm61gNMPW+EQgiROidF1rJcyqsqn3u1/s7lWyUsE/nrCqTXYO1VeK8A3VBOABWsnW13bXI9XkgVayMmUiGNtvUqsaJd0/zIOwY8+qzPbQ8oaMQpUxeCNtaSEVlMUYDcYEtjyW1L63mnsaot680kjC5cjky+ZKu3VRtFp08Z7FaOmFyWFMmdEs5KSiI7VomGMDYs9+HkcsSb/8XVfNvLr2BppY/z3FEXv+5x8AD0T3W5dHuDhZVa+n1TbTgOaDK2GlumK/OgWQXsLJgsW4JiXJaUJEkhU4oddi3Ak6rfLa0VKPN91W1gKWWMdGJ2H3b440+02b/o2RFYqd9tH2XB3iWnqALyteRJRZqMTWtarUaqLLHKXSizeJFYyRshWCuNPzYkKCvESjfuTbREZFJFGIR0kJFh53TMT76zx+HTDvtOCIxTFlgCpEuSgpwxkGcCWOVLeep3Q8riIg80s1qknMVL0iUzHTJGryYQy2AvMXemxdNfzH7XpHpcSuiHhkvOW+GmqwZcdp6h34txfMdlqqFYWmpx+1fnMEkNJVQlg1jW1GVHYC3mXh1kloFdAnXF/65uYqRSGVIweUl3K52+Hk/mFEBXKkHKGM+POd0R/Pqft/nMHQ2Mq4p0fCpN1mJvVboAVzsnVSYZT+qUT1ZxoKqAr7D2GNiz91bXpJR1eAbocgCadf7ItKgpe54Gn4kmRuNK66p0AsnP/a7izIoAv0y3AoOTM3khT9ILLXtMWVtJMDqVL7mbItIgs8rkQlq3xJTyKyavR6kCPF1QVuNtrDFCiHTTX0dy6XbDK17UZK7dZND3iaMaslWTtBre6U0z8tZzN2/j2Kkmo7DY4Cf3tSv+9diuBnI8KBzrulHFxqGFzCiAm3ncFYdEFdZgXneSVQyOed4yCyZVnD63tSYhms/fV+fLDzfSWpPMEpQpg2fsXewaXJ43WNaIq8piS1qc8okZY+4c/Gvpx3ItShnQZMwtisCt1EaWOShlPZ7oLPFTSu0biTYqfc8+j2MHYSSvvXbEm186wBOxFbA6u0dgYowxxAZGGgItCDVEWhAbiPMh/WmBnhb20ZS3Ikx3q0iD4iTNyuaPaWGffW3SLQ3T39XFY75Xa2mrw6JP1eTyx/cE6yddYnMuZ5cbt0pVOx3GHuq97/1DXvuaV6zUfLVSd/X3jgZnadQlnpPN+hvbnmM8+1hK9lT6KTPQitJ7OfAZA/H4RVPW3EUxlZSrmbvcEe+k4HacmERqPndPnf/2ZxMcOu2nTQxFQgfpIKTAl1CTdpC9k46Bc2Q56VQeLpTZh8Vg/nzKrQApJfm2KqI6pN9O6pJjiTKKOTBjybTCTh3Lno6tLDaAE3kgt7o02aySAGjDdDvh4vNijp1V7Dvq2IRPfjUWV2vmgBTjL8Z/Z/xKHr/I039n9aK1uuGj9Dr7R8rJolUJofTXpLAzNZM4ZsOmbXj+5H/cve/gg9dc+zK7R48wNtiw+0AafDebwFrUhVT05ZhEIZMkZEFYyfemuBDWyrYV8mRsD/RMpqjCNZElKZKBW5YCyswSdN2EQwuSD3y6yZ4DPrRULklsYsdq70ya5H2WjHv0rN0xXwo281MuqgGlWJPJCxdlrWSPZW09lvApXBSZn+Bq+l4K0NruOpx54yJj9rSeQAiNFgphrDceBYaLdkb80Nt6PPy0x+H50lKVB51WhsQIRsIGl6Qj3Iwu16EUujyvUamqHpuul/ZnwlQvwnzLm/L7piSHc/1dliqp9ZheETLSJLFmOIwYjgKCIATSTah2nncBnlfDc2KiwQHqfoznFgmWcqlCebVdS4OLMWBXdHfJEszBXbIIyzagyIPLTI9risKpkizJ30vZWyUs9QR/8Ddt7nq8VlQJZhnLFNxKku5QXB6DXMQbqnQC1rIF1wL+uAX+jd7K3fUVNiszVrYzmraA0ulsQCNK4C9lOqUwaJElQYzV4cIghLKXkdAkA80rrwz4t+/u8t//YpLlYUn8mhToEox2iKXIHZQM5GgLZDLAp2SRfcbSnlfF2DdhZ+JkM1bG45qKq1IKLlcrPZN/1CSxd98VbNy0mUsvvYTBYJhdozA7u57t515wm2PO/Ob6GUm7GdKsxynQdd7nKFWqkyu6eszak2MaPNXQRfVfqYa7otWt3Ve4JWNdOauqA7PncSWhM5KGP/10kz//VIte5NpCqoy5U9dECDtmOHNOKkVVFAd7PHtZYeo1wVydc/2NIH28uz4HMtXluczmlSm0FQtxfDKtLafN2tuyAZ7aFHtwthz4sXf0+PG39ajrGHQCJnuMrC43MUZbTR6kmjxK77ERRBo7y9ykWjx7rcuvS/dco6ca3JR19Rp6e0yLJxriBMIYRhH0A+gMNEHis//w/G9edOGFt23YsKFg8Nl1G3ni7l8atDx5yJ+NiKMhoOyHSCRxUgQvZmypsFdRtpyUkznlyavlVH2JtWXB4plMKZjb5JLElsfqVMZkiZwqc0sZg6t5bp/H397WoBs54CkgA3bme0sEqTTJ76bQtWkWc81MZVnHUrD2qtR86b/5RpCep+vzYqMM8EUxkt1ZwZQugsJZyQYFCSmRpvDErX0p0cJuciC0SpndWodSG+JI06rFfM9r+9z6gMcTe+3ST8rY9lGkLK0sk0P+MzPG5kpYP1zliZ7CUTGi8L6zDKeVKKZYJUuVAtlCUj56WaCdBbhxWmGZaDCOwzMHlg6984f/++CTH/jlAuAA5136FoRq0Dt7C735e0hMg1HoMApcRJR2hehUnpnxNqOS1s4AXtLucgzkFuAlK7CSydSFHpfVwFKKUpZyLBXvuAlPHXT5qd+Y4ul9PsaVhSzJGVyWbEGTD/IZ36lhLWtwLZlSSeyUArGyt/UNyRVTfVr1xcftQuse2HoPSzoZqGWa0ZTCuibCWC2rTQZ8OyFLaAvwBAPCIELDFedF/NHPrfBj/0Pw9P40OJHZhxHFcpLKFYNlU69sH2YtbalEyVbFfMRE+s/J0qMw2UVQwk963HR6HERxOHOGj7QgiGEQCQaRpNMP+c7rLuJfveMVdPpDVgFcy0mEbKOFptWcR6o2g2EDrdtEsSrOW2a+i2xJXq21Vz0va+5V+rsK9IK1TSWoFJn3rQpgyzSh47ianpH8yaebPLHLJ1El1hZFvQmUbMEKqEvlASVWHp87uGosxJh+zFj9a5SfVHE9Buwywk25T7PyfslCHK8ZN3acsdapayPsZFqd6XEMWsh0pZVWj2tDgsYRhqsuDvjXb+3z87/n0osFuOTsnbM5ArQiEYIwa2PLor2S9lalKkSjCxCP++O51Wqws8dNtamkrL3LK6QxEERwZgDdMICwx/ppzc7tk6x0iu75/Nmh0zXqtfr+B56YPnDy6PqdSoy4cmfEVA2i2EqUIrh8vkrBkgQpS5WKc6LXAHmqu1OJUtSbJCXAJ2k9SmKZXMQokeC4CQMNH/hMk098uUmQgXmMuRHWossLqp6HvSv1EeOMXYrqq8kckYN7NbK/njwZZ+8SMKCiwzXko4yr3ngBeAvuQqoIIxBpjYow0qbCjbHPdRp0GkOSGDxheOdrBuw64vCBT7foR9gDplO6zR7TBrZEyyKQTFP1OvPu02Nry2az5+SzDTOpUpEt2pKIlSWlIJTqoxRpSbcSnLe1z1U7Flg3JXj7a6IDm9fL/Zuni6Oatdnxx//r95g5/5UHetH0us982dz02S9DFDaZbTcxxiFbgMs1GqvrR6o9lEWDw/Pd0/JXVa4QLMpgZdkaLIE7096OE9OP4C/+vsn/+PMJzix5pe6cLFuZvZY4wjYyeJVGhixFX/je5YaMStpeVveCHN9iJdt+pdhXqGDSYiPb1TtXVAq5SvmG3NOW41Naq+UP5aBYyNLPs4su/x2z2vVKwSTSkoDJdsLVl4R0B4JnDziEcckiyqm2uMoNttVR5wgZu8DLjFD5mVh9gZvSj9PmhvJ/lX1/R0HNhfVTgnfeqPmh10e85vpt7Nh28XuT4b73O61XrmZwgPVTPvV6/QuXbFFvOafuX+lLl1MLivUzEc1aYk9W3po2xsLjVuCq98cCTFH2vqvMLUUZ3CVbUJTKX1WCrBk++4UG73l/m9NLrg0qV7F3NWNpN2+tDrCveN48n/dd+NyV8105ZeLrEfbXZfNKBWdJqsA4c5eGZGqTTpUSdhttUaTzhSk8cSFkXjttHzO5Ylkc7RCFho1TCb/4I10Wu5IP39yCWrp0rGJye9NIImyRlVfS4lkmNiupVeWAMy23tRrcFExOyuQZotNKeZUFnmlCruFJ5iYVw0GdB56bYOf22Scun578QhAElWOqyi9u/tSHuPrynUenGlzXrusXz01Buwk1z+7prpxy42+pjrvcmJAx3xpsbVu7yhahLv0bugC2Kid1VoNbygSnptl/wuE3PjDB47trUFNVxhblWm+BK23JRdaxk+3tvlY72nijg0pZtNq2V35dMLnImT3dTOt5GFyUV4KMuVexusgTSpU+0DyLXHqPMemYLecl9isK5MZq9rPfydhZGyYmNPWa4f6nXJaWZRUpq6rKMja2bA5FE4Mp8XDxvLBCCwiL1TU56d/K450U6I6yQ6ocRxDGgij26QWNm5969tR7X/GaH67856tmWV1x6XaEEJw+sR9hOrQbpvDCS4xdKWmtuCZjbL0Ga1sQZAmdUkApCltQpMFlrr/LZbCe5sBJh//yR5Pc8WjN6o6K1132vq3nnY2BcMZS4UI8j1Qo/07eAV7V4hlri5zWy++v1u6Vk27G2DrV0BUmrzyW+hdL9mDmjog0wFyrKEtgPWqhZZokkght4yGhZRaykggF2sJPjwyvvnrEr/1Uh1/+owkOnvLsEgh5AijVJelVZGfQxmQOS+FWUdLiGVOr9KBUKw9ThVBe1XKr0vafJgbixBDGgv5QkyQhntdgy/ZNaL3q8lgN8BtvvAkpVfjEw0ssn53HdbOdgss1IdVmhIJNyrJEVy4CMSZbpNT5YwXgopAmlrnLr2OUqzl81uG//skEn7itQSjSzelFub+yALfEOiZFnfca228Ls0qSsAY4cwCXfqcsNb+mOin/KNeWvAAALYVJREFUcOw8ZIAXFEFl5feyEtrcUanWiZOBvpLZLBohpE61srAgF3kmNAN8EcVmkiXWUHNi3vVtAxINv/zeCY6cTZ0VxsCdbX+cwikxIg8gSS1CTeGsZF1BUmJ3gaOYu1Kew5JZiZRBnh5HExri2NAfGrbtmOWmm14dxnH89QE+NTWN47V+9vydGy85Ife+cjQapZZS2UqrgrfC3mOMXQbzantQl/69grltlWGSXiSlNLyTcGTe5ef/cIJP3d4glOnOr2KtezljWRpen5LPuOdd+NylxugScsf97wqox2n7H3Abx3W5Lnx12t7+0Wxvn4zBq40RFPq7osPLIJdk+0UKsjEPKm8ojmOD6yR8z+uHOAp+4Q8nOXLWI53DXL0INamHbI+9RhJiPWtXCtySK6SFLU5Tuhg3IXOdvtpSzJvppcAkkGhDFIPWmlqjyfpNO+7cvm3Lzy4td1cdVzn+huu3OXvk77u1mr+n3TRJsx5R82I8J6lMiao4HSKz9UodNmUXRJSahlMvO29qWAPcUib2eS5TYqRKOLmk+MX3TvCp29YA9ypb0OpiV1a7dNZi7wzM5Uo+GJciY/73muRsqqD/30D3eIA57osXb1qdWxRhiVzuaKpD9LO5htnvVeYc6mxaVrE1SpbSN1rZMlujiGOJk8A7v23If/upDhtnojSNX07pj9/tfuTGQGwgTNP7gRaE6XuJgbic2k/La7Of2Xu6nblJs5aJ3SowjAWjSNALJJHxklq9sef9H76tOzM98fUZPLtF4cpPCeVcV/Piq6I4vdopApS1WFqOafDVTkohR0Sux80qcBdZy6wrXhO7gvd/rsUnbmkQqjKgnbHHErjF6ozluO6u6uoCoGuNhyj732vp62LLO/G/i+9qNnNVUsdU3JPiZ1kaP20wKzkrWQFWxUkp+eJWmljSJS3IynzyJHsPBdIgEnBIeNfrB+w55PCbH2gTQxF4jrkq1e8mLWiF7XHOE1QlLW6liE3vW3Yfr0ZMC8xKxJJoiLRkYrr+1FKn91Mzk+01//6aH2v99rfw3ME4OdG9zISxQzYezan0R44P3Sm1lGWMLQq5UWZ8C+qkYOi1uuBL4MYR3HpvnY/e2iCQKqXaMqBL7E0hTYp9dUqApgz0wi+u7LcjxkCeHpcx2V0BdPYLq8pkvxFwl35xrLBwdSNEKZNJ3pxcLcTSmgpr61JzRDn4LB6LYizL4HYcc87mWqETia/N/7e9Lw+TrKizPRF3ya0ya9+rq7qrem/oBppF9rVRWRQZFn3wMTM66jwQ12HUceaJO+gbHWVGZnTQEZ7vewg4bDqyKMoisigNsva+N91d1bXncpeI90dE3BtxM6u6qruhASe+Lzsz772ZnZV57rknzm8JXLqqiDOPL4GELE7M4r4olJCJWcaNhVFE1mcyWYsTeJzA5xA3mVPiy+SsgBF50xO1VPIWiQoucmmK975jHp/bUQk/eNmqmt/vlAy+7PBV4GHp1rFtaxcGlR05dXlTuSdKR1uGY8JgBCEiVpfOiWRqguTkMo5YEqImlyGozUBs4N5H0/jbG+rx0saULBiuAWx9YklUtDI5sdQZPFGOhkSIOMKsGWRJ6pZkSFkH9T7BnQhjVssTEnvg0CeWCU9cJTZxk+n1e2awOIDIPSFgEP38eKTLxW/MmBWnsHIOHgKH9fv45sfHcI0F/PzRrGBx3UJUl4VIj8dcyiEkCKNACMCB6DduEzkJ5TJvXGLIklpc9V9ReV4i2Yqgva1l8vijj781X5ee8jumU+3o7Ozm3uTvv5MqzB+yrRLihuZatXuyyiZKfQ1jqRFV5oSR1q4KwUtgK3BbROh8YgN3P5LBZ/65gJc2SXBXBXFMaUKonFRCW5lBXQ6RBPU0cqOWq4LqW022TrBxbXRPsz2ZfCV1tv48qdeNkD1Qpb3jbFBNj+vam0s9zqiRaiuWFJdptswC8yiW9Pm4/iNjOO/kohDHjNXQ4fpNMbpYC4rJTMAKAzwOeJzAk/rc54CnMbgqkVOptIB47UTAcNwx84f+65EXvtPe3j3lVz0lgwPA7soKhP4IJoaeQFMuED9qlBMugK3nlhi6G4lthu5WbK0YPoysQIsoWQLc/WgGf/cvBbywYSpw05jJJdM6kTSpbt4TB014QmNPA3YdswkLsUbyoIb2mevwZO+ZiK21/XFeimD1KFJosHnsiYuViJNsrrIMWZU2h8w+hMxTYZo2V2l9UTaSBxw2z8dXrxoD58DPajG5MVi8k4vfjAMIIYAbELHXVu6KJCMbBIwpYhVleTYV14KFAy4uPrcPbc0FXD3NdzstwCdZd4WVy3/N6PLbhkdfyBXqAji2BKJc0InIMDuJQA3tsemJE6nJdQ0e7xeyhFChuX/+2zQ+e0MBL25ya4MbCfaWdZFmdbz4MqKMQZjsXSVJjAljAsxJsMMsfFBngPl03xBXLbmr5Ali4EqrOPbDocsPXaPHjkrM8jySJcIm1MCubEPlrkhjO/obqCgGBgUIt0TOtdrrcRw+z8f1V4+BceC/fpvRgj7xqaq52YgqhJXPyMX5GkpnKICQKRZknSURoHclvhwqkqyyGYa3LZk7mXXoXzc3tFQwzZgW4CvmTDA31f/U8JA19scnNuQYm4BlMThOAMeKJQekho37x8VgpyQGccTk0OxF5XcTBmIxcIvgF79L45pvF/DSRlfkl9TS2tQywE1JHNDR7cDqPO9kAW+NQA8U2EkC7MRgeQXlCPBT6ZbEtoQK0XaQiK6TqbTmpFMDt34yMO0tZB0nQQx0wyNXPQ6lFheJIILFmey/RtTyDVKTUwg1In5rC8QLsGyuj298dAycEzzweBohFJ65YGsqQzgc0rJRFpElv0QFdBJZnYE8oQnEb+pycQI4FCCEoZBzcPaZp4811Pc9tXXrJNtvgBcammFRZ3Bk0L+op2/Zr73R3ziZlIdMugKLhoA853niF1TsjURkU5cogvlDEBmtJISDWwS/ejqFT36zgFe2SHCrxA2SnFzG2wmg9TbRq3RqlJ3p7I3aTG6CvHpb9HcmjtO3z3bwxC3armNCOzZ6jWJqop8A3Az+EM0+lA3vVWFyrTK4GOgS3BqTq8AlYRwMFuAxLO3z8a1PjOIjAfDrpyXI1UQzyiMHIqnClT+pSh/MmQ2XvikHhwfACwkqgfiMFhjOP2u5X/H8i+rrC4PZTHba75VOt9O2XEyMbEJjy9zt3XMGNnS0Adn0XnjBBFxnAtl0CY7jic6tNNSijmY2oGJolVNi3IhImeU2wQNPpnD1N+qxZrOLqM0UmWJSCRohzJAmSFbn6NHLWuw9lWSpbrtWE9A68JNnQHzIPsFdK3wfRSyR1Nsk0uNJK5EpGzFhGXLo9Zu6jYhoMhkHg6hhL7Kov4q2ZIqyEkMK7hEs7PXxz38zijOPLcMKQ2kPyslnZB/WmHyqQBHTJqPMB5gHhGXAm0Q6HEVzehTj5SI8pw5Lly7esGRB3/aXXtkEN+VM+91OC3AAIJSCFG/fXJ8b+iBLD+BHD4a4+oYcfvgLCyMTFbi2Fzfc0SaQNNLbWl6Jck2IKlpgsFwOZhP88uk0Pv6P9Viz1QWvqbkVoJUsEZc4BW6LTN3Puzocr9/0DqYmRmtONhNMboKXG8eJ/VPDm1c9kE81GtclSPw/8Bj4zDwmArc6SWB2pDVdFGICO3JPxL1yWfSFr+KTRQFeFDHzCsHCOT7+6ZOjOP3YMmjIRdhRRjUFiJNuC0sAX9vPfCCooDU/hg+csws3fHQbrjhjM849tQvbR0ofvOHWhzZb1pSz2mjY+zqgrr4PI2MTyORzOx/8Zdsj375z7OTdg0Xc9WgZnS2bcOFJHkJuIeq+D6VplQ7XXBPwiNEJ4aApji1DNh5f7eLaf8tjzWYX3J3G44YJbqXRlC2YrM6xEpVHBlsjAe4prMIIxVo0M2qqqcsV7eQgvBr8M2HxiMnlGxlRSxIDX9fgYoKqyRTOE1oc0SRTsL3pjwvtriaYwmaNUwCI1OqiLZwoeeNm5FIqYEoA4jMs7vPxnU+O4vPfY3jimRS2DAFwEb8gCp/KG5E6X9WwqTOVMSD0cdrhE/jWlWWMTWRxyvIC8p2LHsk0nbmTBeOwnAL2NfbJ4ADQUKjD3Q88ta63rfE7f3XeCixoIWhtcOE6Frg8qxWwo4xAo2hBn1DKCGaKY80OB1/8bh4f/UY9XtmyD3Dr1iBMcEcBHfkZ9B4nenKVAuVM3JMqtq+ZZ0IMl6WK1pPbawE7GezRAK/fI7k9oZ0NqQLIKKeWf8JMzc4STM6lHx555iqiqfJTdIZX8sSQLjGTL+r1ccM1o/iHq8awoNsXhve0PrnG9Gp2KXFQ9GzsHKzHyxvbMFhaBS/s/M7gjsfXzQTcwAwYXI1jD+tBQ33+qTQm7iSVoQsmJ5/Dgk4X5QpFyFR31ThrkGgSReWZ6My9boeDL96Yxx0PZFAOKZCaAbijvoICgHoo3phYIgFsjb2n2mamv8ZAjTbXiMHH0oVgnxQ9i1EF6qrIpEZ2GrBV2FG4EaKDVMzssUsRTy6lYwIiIpUS9BRxEbPooKB56Iq95QQ0yeQgAA0Y2ptCXH5uCSkX+MK/5LF+hwO4vMZfqW2T5CV6VlsAcfDCNhs/uJfjyCXL0ZJdcWeqbvFTYbE6a/CAAd7Z1YVXd+7YvPLot32sMv6S5YT587NuEZNlD5bliyxDmdwegzuUCVmhABTloA7B+u0Orv3XPO54MIMyaoGbVt8iNwVRIlUUEFCMS2u4Jkjc0ym2a0A2clCSDF9Dq0eHEQ3wM0Vy1aFCYxusrIE5ec81iy12TGQkk5qszhnk2vJSsqiTBso9keAnitFZxOigIoRPo/dUi8FSmRrOZaRRnEW8zJByGC46qwRw4Nob89iwwwGcEIY3Dpq40sl5FrXhOASTEw4ee85BfVP+nndfsvJjO3bs2tLd3TFjgM9IoqjR0dmFicHfblmx4vDn29tbUa4QVDwHYWiLPBVozG1MKmXNZYpg024bn78xj9vvz6LMZYGdYf2R2uCWH5UCVUtsK71tFAhHgORVnWFVLzDlnKBqfzW4q2SJDsmk2J4lmytcGDo8ca93wIImTfT9Vd1pufl+psMCTaJoE1AlTwxHRetaq6QN09JrOQGDvJeShXMK5hNkOMMlq4q49sox9LX7IneWazeWeC5/ZYtS5G3ARYDm1k4ctvyo5++5/4lZgRuYBYOrka9vR6qu9/rK5Ev9k2zXpZ4/BNuigI3ICiQqWUpKEliAxyn+8KyLG2/P4rYHsvCILICMiwxrSxRqWoIipyQRrdT1tvE4UYqGWFsn876TOrxKgiS36Ro+MfZHrURANBhbOSYauIlmISpgEm7oa3WAHjwhWsRUMTaVEoXoV4CEPBH/cVzILFaVkMv7SEZnMS5BwUQFj9wXBgwpm+PSs0oAA757ew7PvOyioidlGVGtEIAgsTRh6GlvwrLFfbeecsIR17+8btusv9dZMTgApPPzsXvzz0abWvrev3u4+dFSJQPb4nAdH47jw7aDqDCYUA5iAyVO8R/3ZnHB3zTg1gey8GgS3NNob8TSRE+BpajR20RCIu7pzU1ZQiRsprIBiemOTBn8SUwiawFaT7OdEboTB1f3LFTPY+Y2tLpuDSYYPXo/neFrpM/GViLdB5NTwxPnMiErLp6wNHanCAPAYQyXnlXC3f97GH9+bhE5qiVpMemVBwHg+0DgIwwYGrMUi+ZkHl04MPf9//7j+0ePWNo3a4DPmsEBoH3ue7Bj6zPF/qXv9ka23QQv2ArCyoAfIG0zFDJyym4BEwHFj+7O4u//NY+RcasGsBPaG9pEQ0NWHIoX7B3p7giEZrorrWkLJtwRHbwJKUIS9+pJjG1TbavFp6qRPgWmtejjtCDXpBHnPHoeOyUJvR5p8kSeCiGRQycXZIhTaZkoReQyJA4GUEvQfRWTQyWCKb9d3hORoEUVu8vvXDE5C0PYlKO1EOJrV47BsjhuviuHSZ/IcD5DIR0g5XjgxAPsDBpbuvCBy8/zKCXF977rnfsD1f0DOAB09swD5+zJtRuPOv6bt+/J+JUKGPPQ0+rjvNPKWDovwOA4xV0PpfG1m+r2DW5IcEc+dyxdKEStq43aeSXJOsvk5FHPAVcMrHeRne5egbwqVB89N1GZxDOZck8CzEiCVNuunuusrHnjXCRsGycCJ2bjTsJl3SUXCU1GmD/5mKg+4xSUM8HOlElAUyl7JJI1R0XOQ6MWKkmQgzEwztGUZ/jSh8eRdjjufiiNwXGKJfMCnHdaGT0tIVhgI+B51HWcUeqbN/AkJbMWGgcOcEIasGH7+OcaO9/F9xZHP/HLR/6YHh3zYJEy7n4kjXNOLuO5Vxz8erWLiq8kiUyw0e8NxtZZXLXhidnb8LwTuSaRtoZ8rvcY0cGqAVbHHSHV2YFE3z4NiKt2kppHTQvuKPZBau2MAR1tVuxtnAjaNu39dBZXklfocp4AuN69NuGyMPntUtGBlVIKTljss8v+a1QyOqC6XlEJctEPBmBgAUdTHcNXrhzHqhMqeG6Ng3NOqmBJvw+bW3h1l4UKlpV7lpz+T5Yd/D0hjfsL09lrcH30d+fZq+sfufbC05q+fvbp7R5JuQgpRXNBNPlZu8VCpaTnlBAYCVOoxej6pFPPM4mzA5Nr6RjMTRMyJMnohsOCKlADqNbPye1TnDTR4RwzHzHxVm2PUmATh+uheOg5KkCNx3p4vpaen6KcDeaaP8YxSBxvPFehf72YwjJyWDgn4CFHJs2xsDdEyAj2jhHYDPCKLjYNLsMYvXDv2o2VrxLSOG224L7GfjO4Ghv3lryB3qbrWpt7vcUDY18899it9LKzS1jUG+D5dTY2bHdj2aE8ToVE1AK1ydzRMiNEWyco6tBkJlDFa26ak8dkzgkSwJzyPvEeMRBrC4+pToyZDi2AbW7X2buKyZV8IdI5UaF28XnUIuFGnjgUi8tgUPQaYY1QjliXR3ZjnI2oMzlkT3IlXbiULpwqd5xGf5GIC8kVKGgAgOPF9Q6+cFMBS3sDXHzmBC46rYG1tPR+uWXusjWpVHraXO+ZjANicAD48GWXY+urVmnFkmV3fuUjh/NrLvGxYh6QcTlOP7qChnogziGxTfZO3rSkKkIQZQZGTgmSHWFNj1udGiaw5cVSB34NZq8K6CiEapO8moyd1C/a5v0eWsjeKF/jcYffSHsjlhxRxY9xDBKsq7srOmtLK9o4RndYaDWTG2F+vSxOMDfU9ijEb8nSN/F7D49Q/OppF57nYPW6enz1//Tgme1v5y2tS3+yZ8vPfpx1iH+g+DxgBgeAU4+ag8HJOWsHWnFlip174+TkfTSb5uhq5simKEYqjuln68ioKnxMuCZI9PFGPKHUgzq6/z2TMrTY/Uhs06VGUsIgCVxSY1u8IXJaEieB7o5UuSg19iUjmoYu52KeEPne0NwTosCd0NoR+HkUujf+Hy70dbSUZBQhJTGjMwpGAcJZtF2F9KMrAoisDxIfVnxWseIEZUCxEmLHHgsgLmg6hQvOOYm5+cOubOjoWrt9ZO/BgOaBMzgA9A+swNLenV5Tx6k3rd1S/6nNuxdjbMLBPY9lsWMsCzhpgKYA6iDKCozArm6xNCHQi4bjCGWy/YMOXKMcTW0jml0IE+ymn00M5q5VmaPLj6RPHkMZwH5yN59iI0/sjCOVMNkcsbuiPkdVsTJMr9yIZEIFgGTE02g1gbhhkGRyUaapM7w2udSvGtDTcimC0EYQuKh4KbTmbZxzog84Fs5cOQfHzHc/9Z5Vx9z06DMV77Alyw8GNA8OgwNAXcMy7N61K+yef/l6Wv7N+IYNg/kNewA4BVDHkh3CpLEvaj60oV/7ZQdRooXiUR2tNK1BbkwsdaDXyiOJ/qsaE009jzvJ3mI/MY5L5qOgxvZ9Dc7j99MBGDN5nDoLydYRcNVrjSinPB6ImuUQg8lJ5NwYabja52FQnjYHmEijFcfwKPDDxDoqovchjU8I/TtTz9WVQQWIPE7AmIv2eh8nL0/j0nNPG/+L9xy9fnDP7vDkowYOFiwPDoOr4bg5tLasu6e556irXhm/bO9EaS5aswT1DkHKoiDK3wZgpEeqFEkJKqPVA6mukI+ASbUJZ0KCGE7JdHKFkBrgNkFae6J5gDobqKJtrrGv2l1Vm5lg8HhbssI+flGV362/TjF2Qncb+hqaC1OjaMJwVaLPz+VVNr6sKAb3PBfFUga7hgpYOKcX3/v8WXuPPvLIq+57cvc9uez0JWizHQeNwQGgsbEOALB91/gtq058u82Lmetvvv3XrS9uHQcFxThE/wsEsoY6ynSyoh9VaW+LVBcM64XE+oKzVS0gIvnBq2SJ+vpr6W1901RyJZlYlXyvqfR4rcGn2p3U4zX0OaLgjtoRyxDBs4moJpFam2gsTrjMHtQvCjxicBCRr6ICPYzJImImuiSo1hM6yFW6btzDPJRRUgthhSAILfiBg7JnYaLSheaWt+9ZvPDETyP0bzli0cFjbjUOKoOr0d2eR53r/fDid53w2eOOWbrHpUDOZshRDsoCZJ0iXJSBwJOSRZ73iYmlck3iBCkJempWzCfD8bUqeBTWTGmSWJ1YPwjxPUn4f+KQGtPNqWTLbAavvYknNtTyvPV9kHq4lj0Y13LG+lppbIONZaFEXMKWYHZtPU7lfzNV/AIOQkO4jg9KKwjCCmwrRBDaKPs2QmahsW3pnqbOUz47NoYfErvhtYDi1K1aDnR85atfQ/u8455Juc6eiWLllMrESCbtACsGxvCJS3ZjoLuEDVspJstqsVYblBK4RKyhY1OxbnxVUIearK4Ari9FEi2lArmNokqbixsx9sWP4+36cZTEksbIG1dr8UBtj48hxuP4PvlZAHlB00/YxGR2Kq8eIPGx0E5wxJ8/llhJu5MYE+7oGMQnrfHYqMcTV4t40i4kiVg0mCHl+tg7GeAH9+Zwy4N1yKZdpOw8ikUHucKcvals3zWViXU/bO9e8VrB8LUDOAD8/O7/h5UnX/Bca1Nua0uenN3gjqUuPh245PQyjllcxIubCF7cnAHslEhwpwRpyuFSyeQ0UalDzdzvJLgJrbYLq1ZxiE4QEgHE7HqlAKufUFOBWrsncrkRGoOa0hkAHCbQjRyz5FxBB1wCuPp8wjxWP4ZogI0fx5A2QR4/ToBfu1LF++UiZRQglMO2Qriuh1885eJz3+/Cky+1oVIpoM5No6mlf7y+sesq2/J/PGfRZbOJ+856HFQNXmt01oOBZG/tbuwOaJD6UcbemN62qxHdbRWsXOLjvj9wjAcWbEqQpojAHQd0ZgFuoAo86ofRHZX4J9F+KJjHVGlv/XXEfB1qvOdMpYmRgpLIRzH6nei7ItskcVzinujvpV5v6G8t3K/9x1xmTDEQI4kqXoSKCg3O5AaVUQUKEgKEMMChGJ+kePKlNAZLWfS1OJgcC1HiA2XutP8VsbJ37B3zDygMP5PxmmhwfXzkw+9DXwcNW9t67uif13F5S/ucMmMhyhWCtZtcjJfSoLaFLOXIUC7libmG/D7BTRDN2JOMkwzS6Drc9MLVXeISnnC4zX3aSw0RjpkjHKjpplRFMo2ozzTHaYg2/HLNBTH3S1BrLgyT+jsqTtYaeUaVPSzOGw9l6+WQWQhCC0Foo+K5yKQtLJobIO0yhEGA+fPmlNPZ1ssL9XPuWP0yC5cfc/FrCT0ArwPAAeD8d12IgY6h8IkN7/tpT3fTFR2dHcVNuzy8uC0LWBnUOwQFhyNjCXmiWh/rWYFTgZtqsmS6PBLDSdFACpjAT8BEPN7HpHO/vO+ptkdAJsaxtaxB840SSVfqAyU8buP9EqH7KBjE9cnjvkBOJMgFuL1AgLtUScH3M1jcGWJh6yj6+3qKhZauK/7yL5b/9LHfbw8veM+FrzHqxHjNJYoaR59wMV5d/z3e3v+l2xB8wL714aU3vrLDr2/OUDSmGBxlj2uviSKU6rEG7nhCyE1m1eVJDVkiNpMa7Ku9PvEZxH1t9NbaXB0cqvHChEfIE89rDylNVFBHu+f659alCiDTZHmEdyLtQ+Vac/3NAJmgJfuIQ6zno1ZVo1QFe2TkU673Y/wdADzLBjjBvE6Ov7ygbfQXq5v/55f/8c7bPG7j6595337jaLZjNhfSgzL48Odx3CdOxxlHDF5RGi9/88XnXmwe3jsMaomVvfxQNDePPqDG3haFZhOaYXjoANdeW2uyqSaLxqRTm0zG2YnaNmo6KWoyGr+vtgZm9D5Ec2oSa2kaJ2ni/4w+EzeONRwifS1PlUWpthn3+gp42uuNJWYgiYAbEgzRhN1cNtKK1lcSnRLUjIAxiiCgCEKKIGTI1RXQ3Tsw5LrOJxt6yM2XftLDT7511euKt9eNwSPANn4BwBfws8GRm13Htn/xYOt1P73nV62v7hmDH4oOWaGseKtZRExjWZKcTBr/zzQTQLV/ykliQpuLY2OGq5bbZEqqmIL4AZgh+mgbzMkiIea2eDIqYVVrUplg9lr/j/7/ATGrKwYm8jJQNdnW204Q7VgAYUhQ9h0UiwSwGtDRdvqexp7jPxOy4GZCGg4OgGY5XneAq9Ha0oDJyckfnP/Ok4ltk6/dde8vW9dvG8VoxYZFqOixIr49I8eE0jg33JhEJnTmdMNkKVO7m3JFkzIRumIwJ3W7YVvMdGg5JNWvFFFI/W9MuiJGcBNauVr0OlPWTPcx9MQsqEXHSJylCDDxnXAVK4UohZMrezhWgKERgnLYgYWLT98zp//Ez4aM/yCTqZs9QA7SeF0mmVONXC6HIOQ3nX7Kcddc8d53DJ9zWjNIysekpzkE8oeJPWu51rxc/1W5Lco/1kdVBBAJLZ3Q6trmKvcleZgJbJ3bSfzvDLCuTxj5dAeph7UyDKH1SNH2mdFO/Zg4chx9xMiaFIlUYUgQhERKDoIw1PJP9P9Iyp6U46MUlrBmdzvmLFg1PG/+MddQGt6UyWT2HyAHYRwyBlejkM8hDIJbTj1x5d5catPAYDDw9dvvetrhXCyMxEBA5S+jwG1LcFOJQs55tBpXVGSr2F1nLp15dQBrx5AqWobB8vFJQapkzoFMaKqyAvXsPlItUaJM2Gl8c1KlW8y/SQGUSgmmCh9CBoQhjfPBKYdj8Wg+pNaWUt9hyDg8n6Oh9WSfZ5r+ds7cI9Zbdvpnjuu+PiCaZhxygAOAZdvs/t+uu6e968/ct614uZgizncfenQ1GR6r0BAUGZvL7v6CsV0bsC0CS15/QkbAAy6WnVOZdDyemBnFAkC1xCAm4yoGrnJadF2efLMDHMl0WeNdNYxGQRp9l6lTqtyZKCU28XfrE0gCUSSvFoj1A4IgFF+wZXFwLpo42ZZ4E0oZXCdAEBAw1LG61iN5Y8vij1z9/oX/wUqbPcs9OPncBzoOqUTRx9knzMf40HZvcX/bLUsWzFt64aoF/+ttRzejzDzR3R+InBTHJki7BJkUQSZNkHLEDxYyIAgJ/FCsqRiyRDAE1f44ksycGHpuBkCMy7pxghBtArofo6rLrBFlrP479NeYabV6Wmt8sgPJ70EycrQyHoNtM1iWmESWPQvFsoVimaJcofB80WRVXB05XDtEGE5iqNyNCRz9pYameUuo233L+N49npV9Y4AbeIMwuBonHbMEAEr33POTNVd8fPF1X/5u1vXC+s+98vJWq+JVkHYIbBtIOQTZFEXKpbAswPM5xksBJsoC5ITIYBHEGuiUJ2S29iQJ7ukAGjsr1SsfR/sV2PcD6aqvjyFFoDkp+o2rk6o6ZK/LGAK9jE3lhWuST66YZ1ssAm6xTDE8bqHiEVgWkEmJ412bgqQ5KA3gh7SSzvUPDcw9P5Vrets6Lyyvbak/uLncB2O8oQCuxvnnX4Lrv3db+A9XXfH5TVuH7Keevv9TP77n2dTgrknYNETGpchlLdRlbGQzBA11ATrah3HzQ1mEgYO8wwFbMJRaRwlABEzF3nrabK1RnbWXtB+JCe5kWH+GKJ9KkkTKhGv2YHQGyCDNFBag0ucx+2tN86E8by71dQjXCZBJe/BDD/f+roDBQReFHEU2QxEEBAQWHDtEPSEo83rsHu37zTvnbnzXeKbOyWZJhYWHdjI51XhDAhwAPv2hi7FncBwtzXs/N6frDNreNf/47//g5zTnesf7lVE7l3HQWKBormfo764glxvFg8+X8ezGNlggwl2RjWt018AMmsRBmSmHYRvGm4wELjJ7utYNDUIMmR2BGlBzB8nCUCwdP66V/hK7LAQMXLZ30PqFq5xtIrS0bYdIp3zks0U8v6WMu56oR6PlYV4HRUPBAWcUQIj6+sbAdvF494J3sFa68PdbgMqi9sYDbu3wWo43LMABoLUlrx5+9rY77sGF5xybn5yc/N6uV7ddElYGaSFbQltTgEJdCQt7Paw6sow/rmtEMUwhwzhc7RJfVRlEAaWp9VHLLk6mrSpdkzRcplYm00RZtFmQLlGqtkELvUfRm+r/Rq1EAcCwB6OADhGuk4o/Upm/7TgBHKeMh1dTrNucxoJOgj0jIYIwRCZVQHNrL+vo6bk9U5f70K6dQ+PHntB4aMExw/GGBrg+Lv6z87Fh46ZxN5W6enD3q+s2b3jusHxqzwVp/hyaCkW4qQo4bHDG4DNEzK3AbVES+eeqoEENowMrTIAZ7TZryRstr1weVjVqwnuKwEvkimjPo8mmbK2mJqH6rDFZPBExfHSCaKwtnRL1h4rqKLFytUU4/MDD1lEK3/OxaMEA5s5rvnPlMSuf7+rq+na5XB7v6u491HCY8XjTABwA+ufNBYDBkaGt/zDQ/+6+yZEXQDz3gjT/JWx7GKBNAOLfXYX6jcCQJXNGJJPpBbcKdZwB3FIRJmiBpmThQ+IKoEA7C8VC9A9MYrmi/yFqqcm4t7fpbBOYaQ1APKEUvbuJWNdSVsZTQhFKt0QFbiJPO/DhT+6F3dyF0844HqedsOjOk45e+PG9o5Obm5rbDjUEZj3eVABXo6F5Dvzy7s3p9mXXwAtvCYPejz378jOnjIy/AHg+aDoT5arYVIDasYS9KPzzuJWBH3KEoQhWcC470Fqi2FYhSO+5kixdA+KJ6nRSfKaY1wM+2vRB1hNILubxFQoEUSKUZfH4RGCI/Gwu19mhFhftJAgDpQSOraw/1dnKQ39vHtd9+mi0dh37cCHf+O3jVi56brzib57f/+ZhbX28KQEOAE66DQDWTZb4Ouri+W2jtPPkk074t5Fg8/yHHn/J4jwQx9kErgO4DoHjCIDbVLA44xy8wlDhHF4gEGVZAAgHlZXOUVmayiak1FwdwvAbpxlJXa1Jiap5QCL4qCddCSdIWJ+RBJF+tm2JGzjAfQulkKDs0ah9sW0BzCbyRAYcm8sTgSNkKdj5t4fnnrts3chI8OH5C8/cCWDN/kyg30jjzf3ptfHHNXvgh2HfK5u2djdk3Nv/709/U9i9c1suRSZQl7EEwG3BWrZF4dgCsKMTDJt3+SiWGVxbnAhpeUKkotcQWDaBTWmU7mo4FvoXqrG5mTarrgCaFiaIu+Fq+j45IuVDYqA6tgifuw5HyuVIOQzpVIiUE8J1GCZLNjbuSGFk3AKlgGOL2m7HYnAcjrTDkUn56Omw0NnVOtnac9aYRYsXpevnbgexNhPSc6h/0oMy3rQMnhyHL2wF52zzkYvbtw4OTyyzCXubY7Hvr1u7Nli/fl3T+OhwXuVXOzZBLmMjnwUOGxiHtXYS9z+VQ1OKoEA4HCtOTKKEwLIIbItGzA9oVpya+KmRtO4SmjzpWxtR0RpMbkYpRfN6pblVqgIBl8vIhMjnPORzk/jDOoKnn29EcyGFuixF2hV/d2BTcFAU6hvHe+fN29vb129nUvyDmcL831G7MAoO9mZnbX28YUL1B2MQQkEIYRPjY8OLB7rua2kqLPz3H/1k4P1//j++ctKJx73Q0925ur5QKNflMshlGFoafBzWX8KpR47AyVYwXKIIgnhRJUoQgduxKByHwrHFzdaq6QFpvUWTViMorjkvJnB08CYr6aP9TERn/UDcPB/wAsAPVIYfIh3uWAyFXAXFygQefDbEsxsZ9uwtY2zcg+NmUFeXL9fVt66ev2jlC6eecdFXVj/xnwOuW7/Qzcy5b3KyOEwIYYS+dcANvIUYXB/z+roBYT4UN23aAtu2v25Z1tcH5i+wstncd8G9hd7ElpNsvt3ipIijF4RY0j2Kx1enwetJPJmkQrM7NoXrSllDxAkQhAKAIePxangyTwNUZPKZtmIMHLVWjqUWtyBKR4v9ojpG/AWMA2EIBCEDU2kIchEc2yJgoaqNFPsyKQ+/e8nD6nUt6C64cFIp9PZ1hUcsH3i0qT6zZnKyeGXFD0LHTeOCy67jLR1ziof693otx1sS4PqYO7cXiKVyMDE+8iHLTjWWJoe+umnNAy7xeMgd56j+nszKNRt8hMEEgoCAMxuEENg2getSZFIEaVcA3/eBYpkgDGOmZozLVYMBG0SWm5HoRFGujTguDhqpnroqDRgkXjoSEK8JQ45ymcEPQlBKkHItEGKJzEpHtG/wvADlcoCQZdHe0YajljT83vLIH5YumWNdctHZXmd7y9+VypXhxoaGQ/2TvK7jrXU92o+xef1/wnVwymPPW2dv3Bxc5PDiokq5hJdfWYt8Fkg7YsXefA5ozBM05Dn2DFvYvofCC0RtXRBwVLwQXsBACYHrCMZPOULW2LK9UhgCXsARhAwEQtuLySyQdgHXFTaf5xOUPbGqHueAH3DsGPQwNBoil2LIpIC6rI18zkV7i4v2ZqCrZwDZTAotTdYroxX79tUbsvc7Nn/4knPPOdRf8SEdb3kG39foG3gPADy8e3Dvw6cci0eCIBjYvXuIbd22ky1e0DGvt6f1M4O7d6BQR5B3tiIINuHh1VkUJzPI5RxkUzbgANuGGEqlAPU54bS4gAQwRDovAUoVoFhhKFfC6ESwpU6xbSCXDlHI+pgscWzc6SJkFtKucDtsewzPbgrR19aBw+d3wnWAuX1zEHrD19U5uzcOLD6BZrJN1Hbs9U2c37fs8KZD/dW+IcafPMDVaGtpAoD71PORkUE4rtuwe9erj69bYyGbpn5/T+8ndo6sXHUsXKQtitXPPoOM7aGtOUBge3jqRReux5B2fXgeQzbFYRGCbCpEIRdiaJRgwzaG4bEAhSxFXcYC4xZcWyyWWp8Dujs9PPYCsGskg9Z6G53tBSw7bDnq6ipYvBLYO5x+oClT+pZtEWfJkiVob+942PMqI+3tb74o4+sx/hvgU4yGhhYAGAFwNwAEpa0gBC+XHN5+VJ6yFPWxZs1aOGQMLQ0cHT4w9nvfv+L8E6/lYfE8z/f9lgYbKQfIZ0P0dkxi7xiw00vDGWOY20JRlxUs3lSgcGzHaW/N3pu27r12uFjnFD0LlmWjkM+hb+5SFPJAWzenu/amdxGCjUvnz27N9j/V8SevwQ/mePSx34KAtO/Zs7t+sljmLY02bIsgnwkwr3scIxMctz5ch9FxYEE7kEtT2BZBUz0BpSnS2tY+Cs53LT/yuEP9p7xlxv8Hzbv/shMWLLcAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTY6NTA6MzQrMDA6MDB1nZSAAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE2OjUwOjM0KzAwOjAwBMAsPAAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 90049000
{'hecke_orbit_code': 4504149416738930, 'n': 1, 'trace_an': 6}
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id: 90049001
{'hecke_orbit_code': 4504149416738930, 'n': 2, 'trace_an': 0}
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id: 90049002
{'hecke_orbit_code': 4504149416738930, 'n': 3, 'trace_an': 0}
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id: 90049003
{'hecke_orbit_code': 4504149416738930, 'n': 4, 'trace_an': 0}
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id: 90049004
{'hecke_orbit_code': 4504149416738930, 'n': 5, 'trace_an': -3}
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id: 90049005
{'hecke_orbit_code': 4504149416738930, 'n': 6, 'trace_an': 0}
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id: 90049006
{'hecke_orbit_code': 4504149416738930, 'n': 7, 'trace_an': 3}
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id: 90049007
{'hecke_orbit_code': 4504149416738930, 'n': 8, 'trace_an': -3}
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id: 90049008
{'hecke_orbit_code': 4504149416738930, 'n': 9, 'trace_an': 0}
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id: 90049009
{'hecke_orbit_code': 4504149416738930, 'n': 10, 'trace_an': 6}
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id: 90049010
{'hecke_orbit_code': 4504149416738930, 'n': 11, 'trace_an': 12}
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id: 90049011
{'hecke_orbit_code': 4504149416738930, 'n': 12, 'trace_an': -3}
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id: 90049012
{'hecke_orbit_code': 4504149416738930, 'n': 13, 'trace_an': -21}
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id: 90049013
{'hecke_orbit_code': 4504149416738930, 'n': 14, 'trace_an': 0}
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id: 90049014
{'hecke_orbit_code': 4504149416738930, 'n': 15, 'trace_an': -3}
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id: 90049015
{'hecke_orbit_code': 4504149416738930, 'n': 16, 'trace_an': 0}
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id: 90049016
{'hecke_orbit_code': 4504149416738930, 'n': 17, 'trace_an': 3}
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id: 90049017
{'hecke_orbit_code': 4504149416738930, 'n': 18, 'trace_an': 6}
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id: 90049018
{'hecke_orbit_code': 4504149416738930, 'n': 19, 'trace_an': 6}
-
id: 90049019
{'hecke_orbit_code': 4504149416738930, 'n': 20, 'trace_an': -12}
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id: 90049020
{'hecke_orbit_code': 4504149416738930, 'n': 21, 'trace_an': -9}
-
id: 90049021
{'hecke_orbit_code': 4504149416738930, 'n': 22, 'trace_an': 3}
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id: 90049022
{'hecke_orbit_code': 4504149416738930, 'n': 23, 'trace_an': -15}
-
id: 90049023
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