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{'Nk2': 38088, 'analytic_conductor': 76.03355280466319, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [23, -1]], 'atkin_lehner_string': '-+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9522, 1, [2117, 1063], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 28, 'field_disc_factorization': [[2, 2], [7, 1]], 'field_poly': [-7, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-6, 2, 1]], [7, [2, 1]], [11, [-6, -2, 1]], [29, [-12, 8, 1]]], 'hecke_orbit': 29, 'hecke_orbit_code': 126100789599937842, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9522.2.a.bc', 'level': 9522, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23], 'level_radical': 138, 'minimal_twist': '414.2.a.e', 'nf_label': '2.2.28.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+(-1+\\beta )q^{5}-2q^{7}+q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9522.2.a', 'trace_display': [2, 0, -2, -4], 'trace_hash': 1429323049797277446, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.913', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.113', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '62.352', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, 'traces': [2, 2, 0, 2, -2, 0, -4, 2, 0, -2, 2, 0, 0, -4, 0, 2, 4, 0, -6, -2, 0, 2, 0, 0, 6, 0, 0, -4, -8, 0, 8, 2, 0, 4, 4, 0, 2, -6, 0, -2, -12, 0, -6, 2, 0, 0, -12, 0, -6, 6, 0, 0, 2, 0, -16, -4, 0, -8, 0, 0, -6, 8, 0, 2, 28, 0, 14, 4, 0, 4, 12, 0, -4, 2, 0, -6, -4, 0, 4, -2, 0, -12, -22, 0, -32, -6, 0, 2, 0, 0, 0, 0, 0, -12, 20, 0, -8, -6, 0, 6, -8, 0, 24, 0, 0, 2, -22, 0, 10, -16, 0, -4, -8, 0, 0, -8, 0, 0, -8, 0, -6, -6, 0, 8, -24, 0, 0, 2, 0, 28, 12, 0, 12, 14, 0, 4, 12, 0, -8, 4, 0, 12, -28, 0, -20, -4, 0, 2, 26, 0, 24, -6, 0, -4, -36, 0, -2, 4, 0, -2, 0, 0, -12, -12, 0, -22, -4, 0, 30, -32, 0, -6, 0, 0, -12, 2, 0, 0, -20, 0, -26, 0, 0, 0, -44, 0, 32, -12, 0, 20, -4, 0, -44, -8, 0, -6, 12, 0, -28, 6, 0, -8, 16, 0, 12, 24, 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mf_newspaces • Show schema
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{'ALdims': [24, 18, 33, 30, 24, 18, 27, 36], 'Nk2': 38088, 'analytic_conductor': 76.03355280466319, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9522, 1, [2117, 1063], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1561, 'dim': 210, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 29], 'hecke_orbit_code': 33563954, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 8, 8, 8, 10, 10, 10, 10], 'label': '9522.2.a', 'level': 9522, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23], 'level_radical': 138, 'mf_dim': 1752, 'mf_new_dim': 210, 'num_forms': 62, 'plus_dim': 99, 'prim_orbit_index': 1, 'relative_dim': 210, 'sturm_bound': 3312, 'trace_bound': 29, 'trace_display': [0, 0, 2, -4], 'traces': [210, 0, 0, 210, 2, 0, -4, 0, 0, -2, -10, 0, 4, 4, 0, 210, -8, 0, -2, 2, 0, 6, 0, 0, 202, 0, 0, -4, -4, 0, -20, 0, 0, 12, -36, 0, -2, -10, 0, -2, 12, 0, -6, -10, 0, 0, 4, 0, 206, -8, 0, 4, 18, 0, 12, 4, 0, 20, 4, 0, -6, -12, 0, 210, 12, 0, 22, -8, 0, 8, -8, 0, 24, 34, 0, -2, 40, 0, 28, 2, 0, 24, 34, 0, 64, -6, 0, 6, 12, 0, 24, 0, 0, 8, 20, 0, -8, 16, 0, 202, -56, 0, 32, 0, 0, 6, 18, 0, 18, -28, 0, -4, -36, 0, 0, -4, 0, 24, 0, 0, 238, 22, 0, -20, 12, 0, -28, 0, 0, 36, -36, 0, 40, 22, 0, 12, 40, 0, 28, -36, 0, -16, -12, 0, -12, -8, 0, -2, -30, 0, -28, -10, 0, 0, -56, 0, -42, 36, 0, -2, 0, 0, 52, 12, 0, -22, 4, 0, 182, 36, 0, -6, -32, 0, -12, -10, 0, 0, -8, 0, -30, -56, 0, 0, -12, 0, -84, 4, 0, -60, 36, 0, 40, 12, 0, 206, 48, 0, -68, -8, 0, 8, 8, 0, -4, -24, 0, 4, -40, 0, 4, 18, 0, -54, 116, 0, -48, 30, 0, 12, 0, 0, -8, 4, 0, 0, -26, 0, -94, 0, 0, 20, -4, 0, 0, 4, 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32, 0, -312, 72, 0, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48687403
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599937842, 'source_is_minimal': False, 'source_label': '9522.2.a.bc.1.1', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599937842, 'target_is_minimal': False, 'target_label': '9522.2.a.bc.1.1', 'target_level': 9522, 'twist_class_label': '414.2.a.e.1.1', 'twist_class_level': 414, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48687404
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599937842, 'source_is_minimal': False, 'source_label': '9522.2.a.bc.1.1', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 121597189972567346, 'target_is_minimal': False, 'target_label': '9522.2.a.bb.1.2', 'target_level': 9522, 'twist_class_label': '414.2.a.e.1.1', 'twist_class_level': 414, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48687405
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599937842, 'source_is_minimal': False, 'source_label': '9522.2.a.bc.1.1', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597797777822, 'target_is_minimal': True, 'target_label': '414.2.a.g.1.2', 'target_level': 414, 'twist_class_label': '414.2.a.e.1.1', 'twist_class_level': 414, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 48687406
{'conductor': 69, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599937842, 'source_is_minimal': False, 'source_label': '9522.2.a.bc.1.1', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543036830, 'target_is_minimal': True, 'target_label': '414.2.a.e.1.1', 'target_level': 414, 'twist_class_label': '414.2.a.e.1.1', 'twist_class_level': 414, 'twisting_char_label': '69.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 48687407
{'conductor': 92, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599937842, 'source_is_minimal': False, 'source_label': '9522.2.a.bc.1.1', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112589990717820144, 'target_is_minimal': False, 'target_label': '3312.2.a.z.1.2', 'target_level': 3312, 'twist_class_label': '414.2.a.e.1.1', 'twist_class_level': 414, 'twisting_char_label': '92.91', 'twisting_conrey_index': 91, 'weight': 2}
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id: 48687408
{'conductor': 276, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599937842, 'source_is_minimal': False, 'source_label': '9522.2.a.bc.1.1', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208338160, 'target_is_minimal': False, 'target_label': '3312.2.a.v.1.1', 'target_level': 3312, 'twist_class_label': '414.2.a.e.1.1', 'twist_class_level': 414, 'twisting_char_label': '276.275', 'twisting_conrey_index': 275, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4956900
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 126100789599937842, 'p': 2}
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id: 4956901
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 126100789599937842, 'p': 3}
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id: 4956902
{'charpoly_factorization': [[[-6, 2, 1], 1]], 'hecke_orbit_code': 126100789599937842, 'p': 5}
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id: 4956903
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 126100789599937842, 'p': 7}
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id: 4956904
{'charpoly_factorization': [[[-6, -2, 1], 1]], 'hecke_orbit_code': 126100789599937842, 'p': 11}
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id: 4956905
{'charpoly_factorization': [[[-28, 0, 1], 1]], 'hecke_orbit_code': 126100789599937842, 'p': 13}
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id: 4956906
{'charpoly_factorization': [[[-24, -4, 1], 1]], 'hecke_orbit_code': 126100789599937842, 'p': 17}
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id: 4956907
{'charpoly_factorization': [[[2, 6, 1], 1]], 'hecke_orbit_code': 126100789599937842, 'p': 19}
-
id: 4956908
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 126100789599937842, 'p': 23}
-
id: 4956909
{'charpoly_factorization': [[[-12, 8, 1], 1]], 'hecke_orbit_code': 126100789599937842, 'p': 29}
-
id: 4956910
{'charpoly_factorization': [[[-12, -8, 1], 1]], 'hecke_orbit_code': 126100789599937842, 'p': 31}
-
id: 4956911
{'charpoly_factorization': [[[-62, -2, 1], 1]], 'hecke_orbit_code': 126100789599937842, 'p': 37}
-
id: 4956912
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 126100789599937842, 'p': 41}
-
id: 4956913
{'charpoly_factorization': [[[2, 6, 1], 1]], 'hecke_orbit_code': 126100789599937842, 'p': 43}
-
id: 4956914
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 126100789599937842, 'p': 47}
-
id: 4956915
{'charpoly_factorization': [[[-6, -2, 1], 1]], 'hecke_orbit_code': 126100789599937842, 'p': 53}
-
id: 4956916
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 126100789599937842, 'p': 59}
-
id: 4956917
{'charpoly_factorization': [[[2, 6, 1], 1]], 'hecke_orbit_code': 126100789599937842, 'p': 61}
-
id: 4956918
{'charpoly_factorization': [[[-14, -14, 1], 1]], 'hecke_orbit_code': 126100789599937842, 'p': 67}
-
id: 4956919
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 126100789599937842, 'p': 71}
-
id: 4956920
{'charpoly_factorization': [[[-24, 4, 1], 1]], 'hecke_orbit_code': 126100789599937842, 'p': 73}
-
id: 4956921
{'charpoly_factorization': [[[-108, -4, 1], 1]], 'hecke_orbit_code': 126100789599937842, 'p': 79}
-
id: 4956922
{'charpoly_factorization': [[[114, 22, 1], 1]], 'hecke_orbit_code': 126100789599937842, 'p': 83}
-
id: 4956923
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 126100789599937842, 'p': 89}
-
id: 4956924
{'charpoly_factorization': [[[-12, 8, 1], 1]], 'hecke_orbit_code': 126100789599937842, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 29, 'label': '9522.2.a.bc', 'level': 9522, 'portrait': 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WmSIBCEtTo7N/lcvjVieirm7JKg0/e4bFsMBiINx+dr9IaGdl3QCASShDBMaTdSuoOA4+dhrAO0MVy5LaI3SDmz6DHT8rlkW8KuzX2ajTFCGqJI0BnUWegEzDQEvvQ5cz7g0GnBsXMJJ5YSwvqA193U5y03Qyin2X+8zYl5xdmMuRcMBxcNL7lmgV969wrbZqY5fnaWc0t1FlZ8RxT2OC6spJxa1CyOG/zTd3v6h77jso9t2Dj3E/Fw3A02vftbDYm/0u1vNMCXljuc7Qlagfm1o8eef/l0/D5531ODl9fkKe8dt7U4fm4DiystFlZqnF/xWFwVLK+mLHdiljopZ1fhyJJg04ZVfvkHlnjpngYn52c5c77JmUWP+SXDucWEUwsp53sJ07MjXnFdn1uuhEDWCVXI/HKNs4se55YFgzEkiaYWaJq1lJmpBA0cP5fQ7cPuzT7N+hhjBIiA/lCza8uYpVUPjJUiq30YJ2AwLHcitm/y6Q0VQhmEHtOu+ezaOmJ1IDh+xiPVHnNtSasmCH1IEsFgLDm3LDm7ZJhfSQjDEfgJL7u6z8uvEWxs11laaXNyPuTMIswvJswvJ5xehsNLhpdcvci/+YEVtk63OXFulvmlOgurAYurksWVlOVuzFInYbFjONtVHDuf8rZXHeGKSzYljx3d8vXf/Vdv0zt3XvV1IZOfj6M6Qfg3Nzv6NzbI/I+/+2fMzU5x+uzCr77vo/f9s0/c+XC4bXMPdId/+k6DH4xp1UdEkU8US6JEkGoPYxQGMAAiRUrDkcUZ/s0fC371R+a58eKIVn2WZr1FuxHSavhMtxXzS4pzKx5ffrDG5x5IuHzngCsvSVheGXLVzjHf+0ZNnCgEhr/4Ro3znRr1dMyxs4p+v8X1l6Wc7ybs3e+zZ6fk4Bl42RXQ6UGkPUIvYkMTDpyu06jHhCphqiVY7cHNV/U4fCpkz27N0TNjnjtsf56/c8ThecNUa8xyN+KzX25ghCJNU267YcCtNxrOrfrceOmIS7f5JHGbwbDO3iM1zi0KFlZSzq8kzC9rTiwL5vsRN+xZ4hf/fp9N7RmOn51mfrnO4qrP4qpkuZPS6cd0+yndgaEzkiyNBamJWOlKXnrZEe/my8+9OuzPs3ji9be2Nr1Z15tT/+rIc3/KJde861sNmXVvfyMZ/EN/+Alec9N29bG7Dv3ikePn/tVjzx5Xp5YTliPBeDzmhssW+c2fWuTGy+qcW5plabXJUqfGcidgqeOx0oOVTspKN2G5l7DYgZMrAq8+4tZrlvnuV0dcvKnJar/N+eU6C8sBix3Bckez1NGs9DTdoaY7NgxGCXPtmF2bNSAIfcOp8z5ChuzepLh4m2HbpgHzK2OeOtjixZcbGvUVnj00S6sZEUU+czOa4Qiu2jXiI1+d5oqdCeOxYcOUJE6HtGohzx0bUfeb3LAn4ekjEfNLAdvnQi7eCru2RCgVc2oRAt8ghGH35oSZlqQ3DOkPfLoDn+WuYnkVljqa5U7KYiflXAeWRim7tvf57tsWufVKj5rf5uxim8WVGourHstdwUpHs9qLWe6lrPQMSz0421Oc78TccuVZ3vNTi1x7kU9/2KTTr9MbTuPV96RBfeuvHlu+8Vc2NQ+mN916x7caOmtuf6MAfmD/AWr1Wv3smVO7vvHIs+/ad+j0v3tu/yniVNGPBCsjycJIsDqIuOmyef7DTy3zokvqnF+eYWm1yUovZLkTsNz1WOnCak+z2ktY7SUsdw3zHcGZvgHR545XdnjzSzWXbK0RRQ1WOjVW+wGdnmKlL+gNBKOxIUoMaQpKGkIf6qFhum3YNBvj+SMOn4145lCITpq88eYIz1/lsb1TXLQVPv9wwiuvDTnfGVLzFEkaMzsDSezj+QlLSw1ecWOXzz/Y4uKt8OjBMT4N3vBSTSKGPHM45eipGp4M2DzjMdMU1ENBEAiUgERDFBtGEfQGhtW+pjfQrA40S33DME3ZvWPAm2/pcMfLI9AtllanOL9cZ6nj2+PUgdVeSqefsNpLWelrVvqCMz3FQjfhpj3zvOenznPdRSEr3Ta9YZ3eoEZv6NMfCFS4ExFs+9ezG6/+0507t58Yj0bDy/bs+VZDKb/9jQH4yWMH2bhxY3Dw0KEf2n/g0HsfeuRJMb/Qlf2RYTAy9EaG/ljQGQkWRpLFfsRLLz/Pb/zYMi++LGRxdZrF1RYr3ZDVXsBKz2O1J1jtGbr9lNVeQqevWekbzvcEZzuamekB3/aSHi+7MmH3ZkW77tPt1Qh9CSiiRKK1QBsYjAChmWmNOHjaoE3E3Y82GQ/qXLY94NbrBsR6lXsfn+aGy30OnuvTWWlzy3UDvvxYyOZZw97jhn/4ti57j4VsnpV86XHFrVcplgddjpyc5YY9Efc+MyQZN3jZ1QGX7hwxTPrc9ZiCVHD4lEe74eEJGAwl2ghSbYgTQGq8QNPpG5qtmJ1bx7z8qgHf9uKEuWaN+eUpllbrrHTtsVnpCjp96PQSOv2ETj+lMzAs9yVne4LFXsItV57nV39sgRddErLUmaLbr9MfhvSHAb2hR2/o0ekJhnFd777kWnPRRZf99MWXXPqhpaXF6Kor/2aA/G8EwLWOZRIP3rrvqb+4bH5RvOcbDz3m94aC/kjTH6QMRin9kbF3B/LFkeRcJ+FlV57n139skRsv81ntTrGw2qLTq7HaC1jte3R6is4Aen1Dd5DQ7af0h5rOwLDQFyz0IU7HXH/5kC2zKf2B4U23jLloiyZJJZ40RDHc81SNE+drbJ1JePZwDXSDK3cobrxCE9YGPHZwwMJik2suatKeXuHBp31uurzG0mCVlZU2W7YYHt6r+Puv7fPIXo8dm3wW+x1Wlme58aoBDz6bMluf5prL+pzvdHj4+WnqXpOXXGHYs2sEss9TRwWbZmPmF2LufcpnFCukhFQbLtoa8W23RPT6im0zmhsvhyhqsNxpsNwJWe37dAeKTl/S7UN3kNLtp/QGKd2BZnUAy0PB6Y6gMxpz654F/u2PrfCSPQHnl6bpOHD3Bj79oUdv5NEfCLoDaVeAXsz1L3pJ3Burf/EPvu87DrVbjc+Goa+/1dj6lgeZo9GA8Xj4A8tnH/rN1YX9s2dP9ZhqKYSUCCERgJQgpUZJjVIGJcGTGiU8Hjm4mZ/7fZ+3vXyZ733tMhdvizi31CYM6tTDgEbo06x79OqS1tBnqunZC2aYsnmsGY4NvVHI8kKNUycNUaI5fS4hDA0gCJTBk4LBUCHwSQYeL7pIcOk2w67tA8Zpjy88oth3aIbXvzjkxqtW+PAXDIFocNH2AU8/qNg+rdjQHlBTdaLY53wPmjWPHZsFT+6LuHFPnVffsMgf3Dkk8Fu87maDHw74ysMRn3+oyfNH61yyrcFFW1M2zkRcvCHm2otSlNJ4yobUjTBk43RIFPv0BgHPHvTpjzwGQ0V/JOkPsQQxsN+9N0zpDw3doWF1CAsDxbkVTbPd4R+9aYG/d+uY6y9ucHahbcE9COiNfPoDj/5I0R9K+kNBb2gYjg2jyPDlrz3se/W539y69dHlt7z+pf+s1x/8QavZ+N8X4EncB/jR+RP3/drJQ3fPDvt96mGdqC7R2li7DQ8hBEKkSIEFuTAoafClIVSSpw9t4ImDDQ6eOc/bXt7n5VePmG61We40aHZrtIcB/YFHz53s4chjMPYYjQ2jSBPFhjg2JKm9R0mA0SCVwPcEtUAw3RLMtGDLBs2OzQM2zHT44mNw3xM+Uk/x+hf7vOjKHg88HxON2tz6IkFnOOT8UpOX7dFsmB5Q90JGiWKhG6O04EV7PBqtMY/vr/GqG6e45foej+9XYKZ48dUBP/KWZb78ZMSXHmmy90SNXRsVW2brzLQaTLWgHoLv2QteG9h7VJCmgjgRRAmMY+x3HKcMx5rRWDMYaQZjTX8I3TEs9CXnezDWQ26/YZm3vrzD971OkyRtzi026Q5quSTpDz36I8lgZME9GBr6o5ThKGEYGQZjzdL5s3zov31hNkrS/+ed3/Eqr9Md/P5U+1sH8m8ZwNNoESHSH+kv3PVrvfm7Ngk9IgxqxKkmrmm0BoMEBEIoB25QSuTM5SuDrzR1T7A4qPPRr+7gK090eeW1q7z79lWuvbjP3HSDpdUGvWHIYOg7YCt7jwTjWBIngiSxS72t3bJBpedBLYBGXTPbitm+aUBCn4OnYz52b40jJ5tMh3VuutrjZdd1efhAh7u/0ebmy2vs2jrgI18VKBHSbsWs9sdoA0rAxvaAbi9AJ3Xe+srzfPTzDS6dr/HmmwdE8RL3PjNHnNZ46dWbePNNXS7f2eErjw94+mSDp44G7JiVzLYFjVAQ+PYilAKEMGgDWhvixF2ssWEc2wt5FMEwgt5IsDIWLPdAeCNuuGKVd3/bKq+8OmWuXWO122S1V6c/DOgPs5UgA7dgMBYMRobh0MrHwUi7gByE9Dlzvstv/+GXN80Pxa/9yB0vNyfPrX5g55bp/z0A/hu/+WFG9YRf+M+f/cHvesW59+zZ+NiGUA1p1Npok5KkCUmaedogkAghkFIhlUDJFE8KPKnxPU3gGQLfUPcFKyPF0uoMf/q1Jg892+fW61d59+tWueHSDnNpnSQJGYxq9Ic+w7FHFCviRJKkklQLtBEIDFIYwkDTqCWEQUTgjzm9NObORyWHTgUcPTWD0iGXbg246mLFi6/sosIFnjncYvt0g2sugS0bV1jutrl2uyTRhi8+EjIeSKabCW946YjP3htz4lyLKy7zObs64rkjPjs3z3D9xQs88HSPB58TjKOAKy+e5cqdIVfu6HH47DKHTsMj+xocPNKk4QlCT9IMDTXfSjkBGGMv1iSFKIEoFfTHgu5I0I0h0gnajHjJ5V3e/W1dXnltytbZgNG4zVKnTm8QMhgGFtgjxWCkGI4Eg5FkOLZ9o8NxynCU2sexsStEDMMYxqni2Okuv/2huzf5yd73/OR3knTn//2HDx/ezA23/uDfXYB/4c5P8Kbvv4/f+dWXfN+dTx3/7QcfenL63/6Dea7c1SRJYxKtrGuhhQO3hxAgpERJgZIKTwk8L8XzBL4vCDxN4BtqvqERpEzXBL2xz0p3hk/c1+arT43YPDPgXbd1uHLniNGwzzUXG3ZuUYxjnzRVpFpiMnBLje+lHJ83HD0nWB1qPvNAg9OLM5jIZ6am2DbnsXuLxyXb4ZpLu2i5yPs+22R5eYqbr/S45tIOX3lKIBKfTTOSZiNhEAdII8FIlBfQGQnmlwVXmwa3vbjH1x+vs21DwM3XzPLDb1nkQ5/v8cj+Jv2Rz9Jqi4u31bli64CX7unx9lf1OLO8zGceCFkahBw/63P6dICvBFJKBAJtDKmGWBvSRDMzF3Pd1QPG45grd455x21jNk0pZlshcVzj7EKNwTBgMLar3HCk7D2yrD0cC0Zj7EowtsAeuRhmMNYMIxhGgmEs6MSSfqq5tH2EK2af3HD65It/e7F3Xfyy1zz3Jx/96Mf4nu/57r97AF898QGmdp4Vj3z6Je988tmz7x91Tjbue7LOvS/yufriMfUwIEkzW07glAJCeEgJSko8JfC97NECMfAEga+p+YZ6bGhEhqlaykxdMIgkvajJ0VNNfuNPZkEniCThxdcNuHhLRJKANhpjbBJHCoFUAs8P2H8iYO+hGs2aRyuQbGgINs5JNs16bNuo2L015Yrdq6Riif/0yTbHT0xz8x6fKy9KGSY9vvFMyHTdZ27KMN2KaNStFNJa0hkplvuGpU5Kp1/nFdes8ujeAftOKKbbNV569TQ/9tYlfudT8PihJv2hYbXnMb/cZsuGBptmRuyeG/HP3zmg3ejw9FHYf1Li+walDEJowNj/G0gSuGhLyq3XJqSxT5yEGNNgFPmcWwwYju2KNopULt+GkWA0Fowiy9rjyGr5caSd3LGyZBhpy+qRYBALerFdJQIz5g03d7ntpTFfvn9++sj82fff9/TVyd9/9zvuNcacH0SkzfB/von3vwTgv/w7H+TWf7lV/dY/2H/HpbPPfvimy07WGnf0MUHCRbtG1EOB1mNqqcQgAGHdE2G1sFIenjT4rjbaU4LAVwS+ZBxpwihlHBvqsWYca6LI0E5gHGvGCUSJYBRLxmlInNbYd6jJU/sgNQYLbauNfQmBsjUfrRCu2QrtOkw1JTMtxdy0x6ZZ2LVlzNaNq8Rmmf/0ySkOH5nixksUl+yQXLpjha89lzC/NMWLL5bMtDW1YEgoQ4wSJKlEGEOSRqz0a8wv+dx4ZZ0X7enxwOM1Ns8IGrUWN+7R/KM7lvjtT2meO91ita9Z7SkWVjw2TDeZadeZaU/RbsRsbMbsvjEi9BN8L0GpFCksRRjsRRXHivMLHnGiiBNFFCvGsXuMJONYMo4ko0gyjoQNUCPBODKMI3tcx2N7nC3IbYJpGDtwR4LeWLAaS4ZJgowijp+E+59I+OBdI545cKhx/dXjP3zTGw52t0xte3E0HJ38X4G9/+kA/8lf/SiLw4a6Zff8Oz78F+f/4E0verj2tlcJ2tNjNHDV5THSg1owIk3dFW1swCSkQUrLSp5UeJ7C9ySBL+xJ8AXjQBHFFuhxbIiS1LoiSemeQpIa0lSTaqze1uTgFi6A9ST4PoSeoBYKGqGk2VBMNSQzU4JNswm7twxoNVf55Ncj7n1mltXFNtftUuze6nP5zhGpWOWLjzRo+h4bZxStxohnDsPzRzyu3WkYjBXXXx5z3aWGc2dTFlYChqMGb7ypx/1PDzl4WtGsS8KgzbWXaH7lB5e457khn71nA0tdw+5NKSsdj+m2Yqrp02r4NOuGWqgJA03opXjKSi0p3eE05NIv0ZIkFSSJIE5sDU8cS8axdV6iWBDFhiiCcZwS5aShLbhjY0EfY0EeO+aOBMuxpBtrTDwGPWLfIcGHPufz+MGI+ZUR1+kHw3jxFP3mxa8Igw1/1jn1O+nUjn/4txvgNZPK0erS9zx34MzvPvL4Qu2BJzex/+QK+04EfOnRgFuuHHPHbQO++/YR7aYFtBAGpazv7ckU3/NtQOlrRr4iiCWRLxkHgigW9uTEijiBKJbWQUgK2y9JNWlq3YXUOKfEaSAbwIKSAs8TBJ4gDCS1UNKsC9oNw3RLs3l2zMaZHolZ5eP3Sz70+Tk21Wpct0uwa6vPRds0u7eu8MlvGJaXa1y5RTHThlYjZv6Y5PxKSHAxjGPBxinJ9DQcPGpY6WrOLda4/KIar31xjzvvqzHXgjAIUHKaay8V/Pibz+PL8/zFAzM8f7rG5m7MpumEqaaiVVc06pJ66BEGEPrgecaCXNhVMAc59sJONaSpIElxQIc4tS5IHKeWFGJN5B7HsSaOseBOHLhjwSi2mrsbCzqxoB8n6NGIqbDLd795hbe/ps8tVyTc/WjMvuPLfM/tMTvm+mEyFu/X2vMQwX/D8szfToC/78OfIkn1D376K0f/w4EDp9phO+To+Q382w9PgUhBJnzuwYQHnq5zdnmFf/hdA6ZbCTU/pTNILcCVjx9rfM8j8BSB7zGOJZFjbss4wjKRY6UkgTiFNLVOgtY24LLeusk/nxAW4EoJp+stQGohNGqaVj1hupWwcXrIhplVvr4v4o/urrP/6DQXTflcugV2bAnYsRmu2NVlkHR5eG+buvLZOKOYbsF0a8zMVEIQeAhhL67hOGC5G7M6MHT6CedXAnZtaXHLlee5+5EB+0+3aYQxvgoQYopLtyu+/3WLvOSK8/zR3S0efnaapb7HpnbCdCOhUZPUa4rQF4S+xPcFnpIohbMPLcoNtodVa3KgJ6l2q5slhTjRJKkFdxJDlJjiHttS33FigT2IBb1E0k0M42GMiQfMNXv89Het8M+/r0e7qYhHIe98tcBg6A+bdIc+SXKinarmf0r9W4IDT3/qQ3uuf9vfPoCfX+yglPrR//KBT/za2VOn5zY1JcMUBp5iFCpibUi0wQQJq1HAf/hYwN7DHb7jVX1uu6HP5rmIbq/OcBwSRD6BHxD6nls2FXGsGCeSOJZEiV1248R52inO+sMxt0QbCnDbJKVjbvCUTZgEvqEWaOq1hFYtYaY9ZuuGLvOdAe/9jM8XH51leaXJZRsFuzYJtm8K2LFJcPG2EV6wykfv9ThyssmezZKZlmSqmSLlmNMLhtCTSAHGCKLYY/emLo+Q0h0oVrqG+eU6e3bUePttHf7sKwHH5kN8L0YIH22axInkxRevsPt7u3zx8QEf+eIsjx1rsn1GsKGZ0qyl1AJB6AsCX+J7Ak9hA2cp8poMg73ItME6LakFfA7y1Eo6uwpClDF7IgpwJ9BLJP0YhlFKOhizY2OHV9+4yne+esCbb0oJVI3VlZBEe9apShVx4hEnHlHk0R8tzE1v6b5nz3XfpZJo5fe9YOZvD8DPL3YIA/+H//Qz9/7aPQ8+t0lJTSuUBImmpmGcCnvXknEqiZRHJw756Ndq3PN0nxuv7PG9rxvw7Td32TA1ZjCqMYxiYt8nSjzGsT1QcWwDpjiVJIkkTgVJIklTQapFobW1KGrEjWVuKbBpf5csCnxNGKTUw4RWfcyG6T7DeMhXnjF87GtTPPzsNDOBz7XbDVtnJZvnArZtlOzYHHHJ9hWePjbkM/dvZEp5bJwStJuCdiOmM0j5/DdqtAKDEBZYw7HHW28d87mHbE1Mp685v+KxY1OLt728z8P7euw9GNAME5QUFuS6wSiyWv/7X9thz9bzfPSeLg8+P82JlTpb2oKpmqERaGqeJvDBUwIlXamDsN87Kz/STqppXaxwiQO6JQiIU0GcuqxoKhgmgkEi6KcwjjRJFNGs9XnbG1b43td1ufGKlC2zitGoSa/nE6c+SapIUkWaKOJUkSSKKFGkWtBfenrT/MlNv7Z512t1PF79oB9+85NB31SAL6+ssrTcx5P8wCfvvO/ff+zPvzy3srJKzZOkxtggTkMttf5slArGGkapZKgCxr7PqW7ImYcaPPTMgD+7tsc7bh/whltXmZ0KiKKAcewTxUHOBnFiD1qSuoRNWgBcG8fcurCjhDAuqLTZUM/TBH5KGMTUw4hWfUjKkC8/LvmTr07z7NEpRBxy0Yxh67Rhw7Ri42zAlg2SbRtjdm3pcnKhx3/9bJNkXGfHDsF0y6PdhHYjRvgR3WGT6ZZBCOvvx4lkNlQkOqEXB/QGKStdxemFOldf0uInvmOV9/y3kOMLTTwVuwvDI0lqjCLJlrmQF1/W5bpL+jx3/DQf+1qdux+b5kynTjNUtAJo+obAM/gKPGnT+UJUq+s0YLS96FItSA0uyWbBHaUO2KlglMIwMSRJjI4j5mpD3nj7Ku+6vcsrr02YrnvEaYPVTkAU+ySpR5J4JKkloDQ/Rza5po0gjjucOPilTamW/37D9lckve6pP5SyTaP5zesQ+qYCfDAYsnGu+Z333P/I73zu83e3k1GHqaYEgzt4Bl9bdkg0hKkFe11CQ8EgFYxUyDjxOT+q8RcPN7n3uQEv/VKPf/xdfa7a1WPTtKLd9IiigCjxSTKQp8qBW5JqiTYSY6wkMHlACVLYgi1PaTwvIQwSfBXRHcYsdGN+65M1jp6f4fG90xgdMFcXbNpg2DAlmGsr5qZ9Ns9JtswlbN84YG56hS8+oXns+Wmu2yGYaUlaDUm7oWnWI4Q/Jgw9PGV/vzGQppLh2GM4ikm0oDfU9PqG5a7PuaU2L7uizy1Xr/LRL9WoLys8GVtAGo8kDYhiyXDss2G6xksu7fOSy/o88uozHF+Q/NHd05xfbXBqKSRQkqYvCDIZJm3gmRN5JlWwTJ4YQawh0YJxCqMEIm0gTSCJkWrMtpkh113U5x+/vcdNV6W06x5J0qTTD4jigCSxUsQCu0o+GQFlmWNjPHrDEUude+YuHtZ/Z+dFL14Zj4ef+WZi8psG8IMHD7F92xb1h3/80cueeXZ/Oxl3mG2rXAcnGlLllsLUuOXQvh+khloqqKeGsRYMPcnQrzFOA5aiOnc/1ubrz49ohmP+wZs67JxL2L1tyMuu6eEJRavhgXAA1wqjLUPYYi0HbqztqIT1cg0JyITnjkoe3edx58MtnjvRIkoatDzFxrphtmmYaRjrg7c9Zqc85qYFW2YTtm0csnXjCvc+O+Z9d25i67THxja0m4p2U9BqJNTDMV8/oBhFHn7TgsoYQZRIap7ihj1DHnpm2hY+DVNWuz6LqyHzizP8xJvnObW4xENPbsSXgIjRQJJ4RLHPOJL0hx4zrRrT7Sa37Bnw6usGfO9rFth3UvO5h2s8vK/OgSNNEuExHisGsUIJ6YrXyoGnywkYbeMirfFFylQQUSPmlhv7XLx1xI4NMe9+w5h6IGnVPaKoTrcfEMe+89ctsBNHOEkqiZMC1Pbu5GNq74mWDEdDlrpfb588df6yb3vjO9TRI4fTiy+59G8OwPft28vc3Ezw+OOP/ZAS+j8MeitMtQJX8OPcDG3cFysAntVLJKkg0YYgtaxed/JllApGns8o9RnoOr1eyr//6Awmidm8ccTVu0bMTSW847VDdm2KiGOX5kdCiblx+lNKjZCCT9xT5+nDTYTncfxMg9PzDWp1xVQomG4a2jVNuwatumCqoWi3FDMtj7lp2DCdsHluxPZNXVKzyifubzPsN7l8h6HdULQaklZd06ol+H7EFx+qMR5I/E0gHZjiRNKsK9740iH3PaHpjyX9YUp34LHa8zi31OCqi1u845VdHn+uwfHlFkpqIHZ62SdOFePYJmb6I49OP6BVb9Csj7lqx4ibrxhx8nyHY2dX8fyUp454/NnXGgilLLiFrJ5EowGNMYYkStm9OeFdrx2yoZ1yxW7D5jlIE59x1CJJfVa6XgXQcQ5qNQFqUXme5MAWpC5uGkWKpe4KjankPzz5xOODnTt3f2j/vr3RFVf+j4+n+KYA/NSpUywsLOw5c+b0e5984lEZBBIhIEq086NxuthG6am2TkfG5jnQS6yepIaGFsQpRFoQpZKxlkTaJ9aw0G/ztac1hpRPPxwjRGpPktFkyDY4i0zYikQhJFIpkthDag/fk7RCuHijoelrGqGmEUIjFDTrklZd0W54TLUkM22Ym0rYODNm28YeKSv81p/XeOCZTVw6BzMNx94NSaue0KhHNBtD6vUGoZIo6TQ4Vg7Esc9oKBiOU3pjRX+k6Q21bZlrBpyan+IVV4/5R++c5zf/zOPEaogQGmNidGqIE9tsPRr79IeK1tCjWQto1Gs0wga1MKZVj3jx5RGBH3PT5Qnvvn2ApxKXBNIIYaqi3Ek6rW0tfugrIGA09lhaKdyQ1Gnp4l6SH654LdFFwJ9oSZIId96r9ziBOBaMIsPDjzwiUy3fOxwO7x+NR89+M7D5PwzwL3z+M9RrXv3YscN3HDx4UPi+QmmR21OJcj5rAok2eNrk/nSas7opZIx27O5YPdH239nXkBiItSDWksRIUu0R65DU2V7lW56lFOAJYYNcBbW6oeYZaiol9CH0oBYY6qGgHkgadUmj5lmANwXTLc1sO2Fuesym2T7bNi3xvjs1H7l7MzunFRtamnZT0Woomg1o1FNa9ZizS5rDZ0NqgS05gKzSTzCKPC7eotmyYUR3FDAcGcfiktWeR6teo9WY5t23n+fI2XO8/zPb8aSHQZPqlEQb4sRjHCmGkWI4lgxqksbIox761MOUTs/GGIGf4nspvp/iSdsoIaVN5wt3t6UrtkzCglzQ0a7KUru4xsU3qS5r6bK2FsWjFu59Sq8zBrfvxRnAnQ2pteCpZ54W3f7wjl27dh/+5Kc+Nbzjbf9jHvn/MMCnWyrod8//XL8z/3OSsayHkiQFqSRK2ZRwkhpSZUpsbfBz0BrnVbsMm87AbvV6asiTNFmaPdWu7tmANiIPlMqaG3CZPBtYeVLjSVwdOfhK4HvG+saeoBZKaoGkHirqNUWrLmk1DFPNlOlWwmx7zIaZAbs2L/HwgTEfvWcbM7WQzS1NuyEsuOuSZk3TrCW0GmMe3g9P7Wtw2UbjdG+RNh+OFTddYbh815BHnp1mMDYMRyn9oedA7tOo1anXpvnuVy3z1IHzPLR3CxiF1qk9jokhiU1eTzIcezRGhnpNUQs0YeATBimhp/G8FN/TeEq7LLHNGkthQBhK5W2l4Fy44ytcql8W9muaPXcs7WSHzsBc1tkpJYBTAnkG7izjDMPVgTxx4vQvKlkLGs3GrwLRtwzgo9FARuPRL9/7pT/5Z6P+maBZ94gTW72mEkEshS1zTQ2p1nilZIJlb4PvpEsGbq2L1xno88ybMWiXicuSFcYVTGW3MsSzVHWW0FHSZSwV+J5tFAhc9i8MFLVQUQ8FjbqgVTe0GylTzYTp1pi5qSHbNq7w0P4hv/wHmzlxappLNmimG9CuK5p1RbMGzVpKvRYT+CM6I4OSCl8ZpCw+WcZucRLQrscMEs3A1VkPRim9gaRTVzR6IbWwxUVbYn7lhzr80ocl39i7GYNCG02aapI0IUo0UawYRYphKKmPFbVAEgaGMFCEnsb3rd/vKVcGoVydj5MpQpg1DbraxTHaCIyrZbGNziKvbbHnzTJ1mte7UOQiUhzYq8DOPffEZVOdnI0TzcHDJwNk41/81E98vz8YDP51o9H4a6fz/9oAT6JVjBn/6tljX/kn4/7RWrtpSyojBZEUKAUqgUSVlyYLcE9r+1xbsBbPM3YW+Z/pUjKiOOA4lsnldol/shR8IU+yWhOlrF3muVY035OEgSTwFbXQjmSoh4ZmTdNqpLQbMVOtiNn2kG0bV3lo34Bf+tAG9p+YZfesdVhadUmzIS171w2NWkqjFhOnEX/8pRZSKXxpUKKwCbURTrf6fP/rV7jrsYheFDJwAO8PFb2+ohN61IKQ0G9zxc6Ef/cjS/zChwQPPrsZbSSptmn1OLGFZuNIM67ZctcwFNR8QRjYzGbgmTxj6ymNdL2tUhjbKJEBvEh5OpA7p0UXYLfnpQC4dmyd++lpttKWXucxV5FMSl2ZQJLYxzivfZE89dyR2sc/fc8/fcffe51YWOr+/Ma59v9agA9W92Mwt/QWH6zX/AG6FuS6WworU5S0QaJKwUsEqRJ5kGlTxAWT5yDWxuppnTG1yQ+oMaYK7nU+VwbwrAYjy+QpJWwnkCfyunLfl7Z+IxDUQjvzpBGmNOsW3O1mxHR7yMbpDg/vG/DLH5zlueMb2DEjmGuWpEnNo1mz9Sv1WkI9jPD9MaeXZvCVQEntbLkiyLQBmWLrjE2edOOabd4da4ajlN5IUh8oaoFP4NfwvSmu3JHw7354gX/5AXjo+U1O/2ri1BAnqWNyzTjU1CLJKFC5BPN98D0r0Wydik28ycwbd49ljGc4N7lsKVUmVh6LCs0c8LnkzL5vFksV96w8IC4BPEpsxWKnH/Hpux6tX3LJxbdIKf8yOH5zAb508qP43krjyN4vB/F4lTDwSLV2GthqTZW4Kr0EEilIlP2SXp5Gd7LEAV3rop9QmwLwVVCbFwQ3FCnprEpQOplk09a2nryQJ1DzIQw09ZqhHlr93KjHtBsR080hG2Y6PHZwxC/8/gzPHN/ItmnFxqZmqi5o1SSNmqJRF9Rr9uKwqf6Ih/YK+qOAmsJdZPa4ZE0IqRbEiUezpnjZNT0efq7NIC7awQZDRS9UhIEi8AOnn6e5aqfm13/sPD/7e/Dg3k3EWhJr7Zqlix7McSAJA23Z29Wm+O7itnecTClknHRZ3vVA7vonnFwhv1DXAr14P9WgczPB5Ct1+THJirxSTZKQl+QmWtBZ7PCfP/gXwTu/9y2N3/jAFwY/+yNv+p8P8Of2neD0cOd0feUP/mua9F+lta079j3bKAwKIbVl8iTT4JbFUyXypSpburQncrZOtXGpY5Pra2MKJs+SEnm3CqWTIWxBkZAO3G41UTnALYv7nmWywMd2AgWuwCpMqTt50aqPmWoNmWl1efLQmF/4/RmeOraJLdMeGxuaqTo0a4JmXdGoKxo5e6fUwoRWY8S9TwWsdmrMzBRp8gws2ZIep4pNc4rbX9Tn3ke17aKJdAnkkpovqfkevhfgeXWk1Fy10/BrP3aen/09w4P7NxFrj9hVANqyV8vkYSzz6sLAk3ieK8KSAuVlx4b882UXYSZVRFaVRpEQKoBepPmL4q0iXipIy6wrRzP2zoLlrMArc1UMoNOETn/0qtPHjnzg53/qHT/5U3ecWJ2e++/bFe6/G+DJ8AxSLf7sgUPnvqcuugS+jxRW1xlfgEit3ywcY6a2dNXLgF3RZ9nBKOk6d5AyttbrMXfxnzwjl2tvmVXQFbo7qxj0FLY+wzP4vm0srgWaWpBSryU0ajHN2phWY8TsVIfHD4z5ud/bwJNHNrNp2mdTI2WqYRy4HXvXJPXQsn8tTGiEEYke04tChJL4GYPnGjzTqq5ALPZpBiNbLhDVmMlAPkoZBJbBw0Diex6+l21Aa7j2IsN7fnKe/+t3NQ/u20ysPcapIEq1Y3FBLdaEviFwvaueV7T8Kbei2ePjuvKzx1JhVnkHk/Lxr8ZCJTmZvy5KlMvSM03LDF7IljhzVFwSUBtQStJfWaRz9uj3PP30E4fH4/hf/k9l8H7nBI32jt3PfOP3rqvJM0jhA6CUtjoNDUiE0EgpUYkmkfZgWrvIWBavOCSiWOpycBcR/GQ9SWF1m4K1SyclX25dh04+KMhzYyZcEVJWPVjzU6ebY+q1MTPtAVPNHg/tTfj5923giSOb2TjlsbGeMlUztBy46zVrJ2bgrocptSCh3YzYe8xwz+NNAinxlXZBXIGUbPmOU0WiPW57ccxll/Q5fKLOxobrlHE9kIORY2FP4Xm+beFzTSHX7IZf//FF/uXvae5/biOjuG6rMxNDw+nZ0MeC3MtWL+0kikSqNF/hlBQlgIsSyEvLZDmgrxBPSUY61s46+3VuFpSdMkq5j6J6MSvVzRKDAL6nePyZ00jv4ev+3b/88d0HDp06vueyHd98gBtzGGhcNFz50n9sBqe+M6ovYfAxRiB1dkAsu9gueGMZIvNCnQ7OkjtFBG5KzF2AOjtg2ZI4kcMhWzrXgFsYpMpsQQsGTznW9gyBp/F9TehrwiChFiTUwohGbczs1ICV3oD7noVf/5MtPH1oAxscuKfrhlZd0KyJ3Cu3zou27B1YgNfDMVGaMhrWqCl7kUkhKpV8WSLFBpqe1fLemHFkGLqsngW4JghSAt/D9yWeUijp5wBHwPUXC379J1f49/8t4cF9c5zptBk1JdOpoZXYaQOhu/u5RDPOLqQE8ILB88/rPvR6rcHGsU1+rlydudFlFqeIq8pWb+aoZCxerk1KbSIvW+GNEazOD6kdW/3OP/jUg+mrbrn+n37j6TPHXnb9tm8uwI8d248WzZvr8UN31MTDtJtz1vN2WawsI2ZtJ0MqpfVZpSR17kWalmylkiwxbvkypgrwC4ObErizcQ8ZexsnT1wvpxsQ5HnZHJWsPNaCOwwcuGf7LKwM+bU/bvCZb2xksT/DxinJxpoDd83q7oYLLOuhpBEax+BWe9fCCIj46pMBK3HAXEilHhtRciKMPR5R7NEOPV5744CH9kf04pCpWNsu9kgTjG2teuBZgHvKoKSPkDZBg4Erd0p+8x93+dxDQ371g5s5tTjDcNpjOhC0Ek0jgTC2o5cDZQca+VmgKUUeBGeP5UC9fGFW5ErO4tUmiklpOQny1JQDz5J1qLP8ALai0fnniRb0E8Wd9x3g4p3NO264XP9xb3V07JvK4L1+j0ajefm+5z/3M93Fh9m90RCnkS09lYpEKqSQSKlIZAZwg5SSVGayRJIqZyelouKnFtZTFkgWkTqTAK8EQbb8VZRcAOlqn60NZoHtKV2MmfBTAj+hFsSEQUyrPsTzBtz7VMoHPt/mzgc2Eek2m9qCDTUrS6wFmPnkyt2FY+4ye8d43pivPz/NIPLY2jAuYzjJ4NlFLokTRc1X3HLVkERbgA9jwShv8LUj13wvsziVA6IVhVY5CDZMC77nNX1a4Rk++Pkh9z0/x7m4zqAmaSeGpmcsyD0Xhyjj4hLjQO6IQQgXx2SDhAoWXw/g9qEUI5WBXpaeZoLBTWEjpjmYC2BHjsmjVNBNBbHweOipx7njjZf/zOte9YYnoqh3MAha/+MAN/Ehjh26Cz+Y2RamB15dr41IU8+1Uxlk4lK+UtnnQpJI5eSBJpGS1Ah0auxjicGNe50FXmaCxSGrj6jg26aWc1liHMBNMWZCGjfeTefM7StbixH6MUEQU/MjGo0RQTDgT+72+I0/3MThhVn8sMaWlmA2TGmHhmYITddhXw9ttrPmEkK2fiV1K4GVJ4vdlH4UEChFIE0eYGZfI7PatMkafyVR4lP3R2yZHrI6aDGMhRu3ZmMF30+dzaec3alcc3Y5cLWVj9/5yj43Xb3Ar//RiI98cSPLSZNB6NP0JW3P1uCEHgSKvBnCy5I+buWTuVQpEkDOxl8jV8qJtkxSZsmhwmkxhcNiSt54qcEi6yiKU0GkbV161mwx0EDg8+ihhE/ddfzVSwv3bFtc7hx88KlT3PqiF9bjfynA0zTloj2vuGi4+tT7Ov1HUHWBlCmBZ0qaW7vnlsVVakiFJJE2oZBqQSq17bDJU77FiTZZS1n2aLDlrhOfRZCllR17yxK4XdpZugurYO7UgTwh8KwkCYMxoT/k2HzC+z/X5FP3z3FkfoZ2w2e2BjNhSis0LvWegVs6cMs8KVRz2jsM7IXTbo755Nc9Dh6vU1PCZgwzB4UC5cWKZXV4nHhcuRveclOPD3xhjn7Dox0bRrEhjFzcoDSeJ91sRkog90tos6vCrg2Sn//7A667+BS/d+csR85NsZzUGfgeTSVoOKAH0tgLx7lMqkQSshLXUNHk6xJhbgKYNXGUnryXE0GGvFYl1o61te0gGqSCsTZoJ+Aj7fPRLx3iumuvfd/tt7/yTQvLvb9UqrwgwLvDCBX6PPTYfTvOnXrk0g3BMa6/3H5hoz1kYmu+hdBIYaxUcfo7VRKVdddoQaok2ujSaLZCpoAoaW5xQc0NlIJZKpo/A7Z1TTL2TvG9xHbueAlhOCbwxvTSiPd+POCDn9vC6aVptKozO6WYDQxTgabhmLuRp++lq1Nx0sR55zm4A5u9HMcRB0+F9KOQmdC5OFnSKXMlsu9pSjUpsUe76XHxjggVjuhFLYaBoO5mkAROXvlOoniZ6yHUBYJXxcapAT/xnQPuuO0cH/xcl/d/Yo7FYZOhV6PmKRqeoK4MYWIsm0srVbyMyUWRxs8Bjqk6K5MgrwA9G1XBhBR1OtxkrC3yx9jYOYojbcEda4PRESQRvo4JhGa2Po9I7r/URNGOW1902zFjhghR/+sB/OSpeTbMtDcudFof/4FfPOxv3bidV1/X49te0uWOVw3xVcpQaKTwc7mQCG3lSiptgKmzcWxl9i4AnsmSMrjXypLM8zZVt0aUdberklNu3ISX4qmUwI+pBRGBH9EZRXz9acmf3N3mE/fPMUpbBEHAXCCYDjTNwNAIDY2gAHctlIShJHTSxCaGnDPhAB74NvN59KzhvscaRLFP2DRrAszsVrCYrdCLYoXve9x+U4+PfrnP/lNNhjU772XsG4IEOzoj0ihl5zRmJRH5cB8KqZdqSaIljdBj8/SQ/+u7B1y1a8xH7m7x6N4pFoZNRirA9z1qnqAuIZTORs3sVWlsPmGSxd15yOVKiYxM6XNUQL7mLiqVorZVThBpGGkL8CTVkI4hHhHKIW+7rcPrXhzx8mvhoi13++HGV308Gq++yKSrC39tBr9424x87KmDN9/5uXun5pohZ5fqfOAvZvnCg8v0x+f4vtcNqQUwxsqVRHgIqVBak0qJ1qoE8BKo85aysubOMmZrKSJjDtt2lgFd5+Wedji+wVOpBbhKcznieTGdfswDzwr+4Att7n58iuVOC1mv0aorpn1DO9A0fEMjMNQDHGtb5q6HklqgqAWCWoCr0NMO3JrQt/pbeWMOnILTnZpNrDh9W02cFCCwzJaVlkqiyGNzW3D5ziHPnEgYxL4d0xBDEOFGRadOomSJGpATnTl56tzZkHFq68PfdfuQN7x0ha880ePDX2zz6N42S70GHRnQDzwCJQikIJTYHk5p8ITJi9UyC9YG9n+ZfViwefnCyzW4gdS4JmfXBzrWgsjYHlCjNaQRJCNqasD3fdsKv/jDI7bO1llabnH8dAOWHpjauKN+89TcFV/gBYYHvSDAj586G3pS/25n8WRz94yh4RtOqYATK1P80vsTLt16ltfcMEZr94WFRqYeqZYoqdBak5YArd0U1wzoWQdJ5arPQV0CeB7oFAX6VpbY6Vf2MUXJlCBzM2TMQi/h3sc8Pv9Ai8/cN8X5bhNRq+G3fNoeTPm2k6fu42QH1APh7tKVnDrdHQjCjL0zgHsJQZBQCyKMifnq4yHHz9bZMCvwpXZOhCgafUsoMHkuwEqK4dhn92bB7TcO+NQ3IvqxzzAW1HxDkFgWH8emtEqp3K/G7YQBRR23MTJvVLBZU496OOZdrxnybTct8en7e3zugQb3Pt3ifKfBUAQMAw/PV3hC4EuBLyW+ME5qGSTCSa4i8LwgyCkkSl6F6F6nrmklNRAbK01ijdXaJgUdO4CPufXFPX7lx/rMtRrML0yx1GmzuFqjN1potjbxu6yevQoY/rUAfuDAfvr9AYEasXlGojGsRtANPU7Nh/zJ3Q1edMUKU7UIg0HgIYVGaoXRqRvbIHNgF5NjheuZFDnA1xwdUXJMSuCWQrvmYY1wAPe8lMCLqdVihuOU/afh2BnFx740xRcebXN+pQl+Da/t01CSlm9oeZq6b6j7UPMtuGu+nUloy0xl6S7cnxsHcp2DPPBte9rhM5pnjobg+26ZN6UUfTUtmLFb5qRYN8WOc7724jFX7+iz73SDYU3QSARhbBgrnLWnHXtnbkpmQRZaJffZnRWptXLTB3xGkU+9PuYH3zjmrS9b5a7H+vzplxscO1Nj3+kG0WpIEnqMPM82rUiJwv0+rDZXmTwkC6DXBk253ZutKgjH3C6wxLkprt7I+sIJ6MQBPGauOeb73jBg+ybD0lLAKApZ7dU4v9xgYSWicfAwYfjCu0dcEODn5s+I8Wj0M5/+5Mc3bNlQo1lPidKYA+c1aT+BRHPfUz6rI8FsM8HT1pPW2kOtAXeVubOqQxuQVLvfc9bGODuwLE8swK3/nhKGdpJqkqacW4Ivfc3j0Kk69z5c5/RKncNnmhCGqIZHzVM0PUPT09ZF8A2hZwfHhz4OxNldurtyAMdpbgduPyX0LXvbCyvi6ALsPdbAl1V7sKpdJ7zivIHA9TgmPlfvHnL5pgHPHkkYJD6tWDD2IHAzAVUJ4FIKhJQVJoeq75zLoFIfZZz6jP2Adj3i+18/5pXXdTm90uWrjwQcORly1+MNzizVSIc+WnrEgQKpXLBsK7MkWZKteFwX5KWL2YI9K5RzNRkmdXfH3hnI04SZesqrboiRnmaqNaY3SFhY8Tk579HpG0ZPH9jwjne+82dOnzn9nu3btq9rTVwQ4If2fh2dpt8TiMXmzs0Akmsui9i6bYG9x2OOn7EyAU8gvRTfRGijSJMUI5WbSyLcoywtnUXfn8moekKXZHOoqtlRJ0VUih+mxKnhyEnBM0cUX3q4wbNHA54/Wqc7DhlHIfgBqu0TKkFDQcPT1Es+cOhldRpZ2aytCw+dLAkCRRBIdwGYQnv7qc0s+lbn14IYoyPmlyVjE+J5kkAavCxRMqHBoQB5aop+x9T54QKPjbMRUo3oxz4DT1inIy4KxjylKxlImZnUANmwIwppmGZlAS7r7KcqHz8xGAdsmYnYtTnmxZeMGUZD/sHRDs8eC/jSQzWeOVrjyImQOPEwoSKVCoQkLX+5bPUoTmA+Hq+wxEqZoAzc6ALYZJV3KaVcPlrDoZOC46cjnj4S8fhzGt9EGGM4u3i2+ZWvfeN7lFLv+e9i8MUTn6bfH6hDBw+LrRuGgD25m2dHvOHlPQg6HD8n+MrDIY8+HTB7k/3gga+pN9Ic0EIL0tgyOU6arGHvUgtJBnnpMpC4mos4sntlCgHHTkn+290hg1jx5PM1Dp0MWewHjNMAvACUj2orAimoK2goQ01hx5kpV3ikLGsHvrBJjzK4fUngZEkYQBjgXBObMrdTbhOXEY2p1yLOr6R86cEWnV7IzJTdXiUrGZCSda21bFUuWr8k47Fiw5ziDS8bcdejQ050mgx9aWWKB35i8OPMs3Yeu0ytXUh51onMf4c2Xul3WKAHqSL1FImviFOPOPatlerHNIOYV16bcMtVY9726hEHTkqe2uszjBQf+VKDo+d8EJLB0CONpCvflBivdBULMQHwcqVcFeQiMQjtNiEwhnozwfc0AsNLro/40y/X+NpDISfONBiqWWZCwfbpmNCzTs5Djx8Ue666Tr33D+9OfvoHXv9XA7gQhlar/t4ts2eub4ddQBH4Ce3GgNm2od0yXLw95iNfaPD+TzSZnrZy4sY9Me963SivFNs4rbnhmphmzRbhFGy9/pKWuSSdgeCppz2WupJ6TfLwXp/P3l9jFCtGseLsuQAtPGLjo4UPnocIPTwpCZSgJg01B+xQGUJlbA245zxfr2DuIOvLzMGtXI+myNk78DVBkBVopTl7B0GMUhFfe0LxqW+0UIFn7baK/r4wg2deeJpmjodiNPJ5661DPvP1Lh/56hT9pEbT6XA/0+FxlnE0ebeQENmVlB1bWZIHJYC7LvjEs0zue4rE8/CS1AJdpShlB+nP1hNuvSLhZVfEGDHmHa8ZMIqtV/0X94c8sjegHgoWu4qnng3oDqRTSRO+aMVLtCA3xvav3nBDzIbp1Da+pIZ3vW7MDXtiwDA7Y/jMV2vc+1gN7YeIuk/UlGitqXmCVGtWk+H119/Ueq8x/MRficHPLvag0WyfPfChK1qNM2q2FZEkPkKm1IKIMBiRCs0X7wv5yiMhpxd9Ti9bkXngWI3PfrVlv0AKUzMpN18f06rbD3/hPhx3UJzrsNpXPPpMQLcjkZ5irBVjoywzCQ87F9gDqZBS4ktpwSwNodQE0gIhUBCoYkafBXkxJtn3bCNA1nhcBrdleFdW62cMnpbuCaEXY0zE6cWAaFwjnJIELu2tXFVeJYuZdfQA5TxAxqypVkSxz0xLsXNDRCBGDJOQYSKoe3YIZlZDkiW0lCyXt8r8d9nfkQX3ujQEX7uit9L4hyR1eQNlE2QqsS1wsbVcPZkiVcKODdqtGJqrdo2IzBDpaTodwaPPeKwOJEpm2K66YmWwC6waadYMt1wfMTWjrUox0PBs0sldo9z+0jFvftWQL3zDJ01GLI8kw9SzW5lHht2qp3xv4Yqf+L7vbf/0u1e7Qk2/MMCPn14k8Fff83/+5vnXXLO5xz/+7gHbp2zT6jjRLEcx9z8S8Mv/ZYaDJ2rWNHXMkQAd486igO6K4ezXyt9yHYDn+lHkz40Q6GzLBaQFtJA20HEbxHpC4AvH0NKlnR2w80dVevRcJ73Cbb1HDm7b1mW3RAkDQeCRl5haBncs7mkClx31/ZgwjDm5qPmju5rgBfhSFAFmLk/Wqa0u+cTZkFALNjtYJ4p93v2GIZ++d8jz8y36qU8jsZvS2ipAU3TiqCwnUAr2smOa12jLUoFXdtd5LYznKfzUgtl3QFeySJoplSKlfS6FdvFQiic0wmg2NjTf/gpthy8Jk59/nFGw/qm3n09ogU684oJIIMqcMzRX7Ej4jZ9Zof5f4P4nNStJzGDk43lw0fSQH/32Bb73Fd5r4uGt78Ek/8dfyuDv+5Mvo5QIDh9b4Z6HtrD36DLvflOXS7alPH3Q47P3t9h7MuTo2dCiJl8aZeXKzb5R+kKMTUmz4dpxJh6F2zXM1khYUPvC5FLAk/a1HS6ZNdWWCok8SnNQMtYuuuoLgMtctoSByVvagkCXBuck+I69Ay9Gyojj5wQL3RrC8wglFXkiRen6pYi9ytKhAjzndESJz1x7zO4tQ/adGzNMPUYphKnATw1+4nR4khWZ6ZL8VaWrSeSJF+tqFQ3chTTSeKkmVQLPs7/fc1lhK1fKuQY3MCj/nbp4HulKniL/7ZVxFC+0gk9wHvbCTY3mmp0J7/mZFfad7PEX99d55qDPRdtTvv+NI27ZA6PeAoPoM8F6+Z41AD959DhSCEwyJpUt7n5Ucc8zLXyVEEeCaOSQ5DtWFaoAZLmW9UKgrvx5AfC8LNM9zwDiCfCd92qTDtah8LJsW+lRTYA8GxHhKVs9V244tuCW9jHIgJ4Fnw7cWfePp3OJ4ntWnwZBTELM575eZ36hjj+lCDJpIk3VQZk8IpXSUjERBCpGYzvB9s0v7/P1p0d0kxoDz6OeaCK3QmUFUZUso9AUnUNZoFmM2rDWobLsrV2PrBZ4WpAogZe6qbvunkhVBbhy7J25Wg7geWY5B3dRUpHnpstAF2Y9ZOQHp3yhCK1JU49dm1Iu3p7y2hd1iWLbbhcEPp1ug27PME7PrHsBVQAeLXwcf0PtFf/0Xz9y0yOHY4z0oF4jShVRrO0xa5asoZwtSlZBCcBi8guU+yeLlxYUuBMFRYpYFAVLyr3nuRkjRcdOBnbyUQhlYOdzUBS2H3E9gGcBZ6a7vUyWGKe3q7XkgR8T+BHnOprHD9XBC/CcPMnS8zmDU2VxdworTdQFq8rcE49jnxsvGzM3PaSz0mCQKBoK/MR+F5Uae4/LALfZ5PxXZSOky9OqtHFsLtBKk2qB74rhUmWZPFHSWZG6pPV1HtRKWWJuaXJg5wDPwJkXZxW5jILnymAsF3FVv4dwvyNJNWJkkE5yai3p9xVaSxBjTi6rm75x+i2veM8Hvu2Bf/Ejb1gf4F7YAz3+9qnp5RuWuj2Q7TyYqwzZLjFxpvukqAI3d0dFxidFgX72d8uPiiowpAN18TxzDsg9ZuXA7uUtagWw8+d590oB7Kz51rK309weud7OLEHL2AW4/bw6MUYQc+f9IV9/toUMPQIp7PztvIKwKDctUtqT2cz1RqMpUq0Yjnxeds2Qt7yyx/vvbBGlIf1UUksN46R0UYuSTJHSsXj5V12IyUF7shi45MCdKolS2jK6K3fOan1Ubn/qvG1OupIEkZVNY0oX26RcKcuPAuD5n5WYvrhAigtGYuxwSshtZ08ZGuF5Fjobb+h2u98+UuMH1mXwXucIIzX9hnj+T/7+yuppDNPO1ZAVQVHOyrkQMJ//lwmVMnCLw2wq/7b8M/KqQApQZDUP2TKcgbpcr6wUOZt7WQd9xt4lsHuuGybbZzMDtx2nMMHcrmczcO1tvpc1HCSle0xEzJ9+tU1qQlSevSwHmEVfY+ZsVDR4xuL5lChp5/qlWbDpIfB512sH/PHnxqzqmGFaY5gK/IScxaU0yETkssHahZNaVJasSUGlLttzHe/KgdwzKC3wUsvoKrVthxbUEpmNfJOFLMlkSpXJywAvzVspAbjC5lm2uvw8kzmiIEfyC8b+x1cpoS9YXjlJIBf+/j//4e+450fefvKuyy/aWQX40TOGdiu+7MMfDy/947saCL9BXQo8YYo8VYmlK0twDmqzBsCVxwuBXJT+fUVXlu/V8tOMsbOZgyqfXlWAXKmJYTcO2HYjWVGaj2KZ2/ezxmTjmLsIML0Se4d+xOOHJAfP1DDKt3pQaryJVUeWDtiki0JFgxcNEFnSx27a5HPptpirL+nzjQN1YhUwTAQ1CX5q8BLhpJvrwnG1+QKJoCRV8gtKTAS3pVay3F2xOjxVFuhKGCdTbI+tTMuDO2UB7pJUKYO7DNScmUuyhXVkTOX15AWSOzT2z9JU4XmCb3tRHzV1/tKaP7hsy8zwrjUMfvx0h3Yz5uhpQTxqMFcXeXlksZQUvyBjW6hqzfLfKbM064K+3HpGhcGzuYJCFBnBYs6g7R2UZZC7TpecyUtj2jwlKwAvD/+x3fbkwM6zlTlzpwSeTezYrqAYQ8yffbXB0lIdEXrWdy+tLGtqUMoHsGQRZiMyynXcuTetFXHssWFW8s7bezx+qM04rTFQAfXUavEsVlESB+5srdDOE88Kc51UmdDj+USD0hiPbJim0gbPrRBKZ6uTcc3JRZNJuemkaCGcfF7MPcxAn+EGsY5On2Rwqu9XbsIgY5/QUzTrGh0tQFoUF+YAf+8HPoNSkoXFVXZOS7TQbjdgUQlO8w9TAnj5RFacg8oVWWXsyt+dkCrrsnjeCFtMY5IT7F2eIGtZXKK8KsADzw0A8rOtA12G0zP4eSpeu+dp5e4p27nz/HH4+N0txjJASeUsy+pMlskMpqielmpJaUWHOy2eKpLUI0w93vn6EX/whQFPH6kTK5+BlASpdu6RQKblY2YQUuTMZ2/a/a7qvkWVLhsNXl6c5ea4S1sSoFKTD+ssj12WuZOjXwDgJTYvFc7luBGF9FjzegJvTBAuFPIuTWv0xodZXvyoTfuXAX7y1Bl2bN/a+Nf/9r0XP9pbIKnbEWCxtle5KZ+Rddi4csWV38+v0guAf0J3Zyep8lqUJlWVAJSzuJoAuKrOIVQZg7skTwXcWfrezxqTtZ0ZkreIZT2dibvHKD/i4GmPXhSAsuUBfll/i/W+ZxXh1YFGE164Lg+Zt1q86Quu2D7i6YMRqQ4Z6oBaamu2PafBlTCufVAUIHGDmMogB1FkOF09jJcPNrXvKcfo9njaGTcyZ3GRs3cBcFHS39mqWwV8BdATDJ1r8jKDT8oVB/AKCJ2/nyR2K5dE+7Rmdlz80tt+qrG0+E8Gcxu2WICfPz9Pv999/ZWXbfnZ5557nigUDCIQqb2K83qZEnDL7J09ZodyEtS5jBFrNfpkvUaxvIuJwZCZTCkP1XRjx3KAF90uGWuXdzH2FdZVceC2AC6GAvlleVJmb+X6OoOI5Z7mP/95i6VhDRHa2u8g8+HzGEFUQH6hW97xot2YjIoGt45Kkni0Gx4//fYeX3m8zdI4IJIeQykJXA9l5i4VXTeiBBRNVkZr0A7cGoOccFaEY3ALYq1dEK/dMVYmd63WAtwUq0cJ5JOMXgC6+tpK3olAtHRRUCLP6vGzK1+c2OH/i6uws731Z48cPvhAHA0/nTP4YPk5kn5IQxxjphWz1LU9lkpCZaW7ALDL8qQA9joB54WkSYW1SyMLyjJFFvMGq1IlY/FJgFuby3OSxMsBnmlunQeVvqdzcPuul7PoyLfg9lVMEER87Ks+zx2ug/SRUhJmpbGi5CaJUh+mqM73WwPucrBZajfTrq8yTj2SxOfaSwd85yu7/MEXamgvZCgDQinypI+SglhkI5DXMrkoM3mpi6pcE6MVKGNXBW2EBXdmwWpIy/NTZObcUNLijsllVZ6UAV9h7groS3pblNWAqWAqK1IsVkL7HXwPzi1GHF44zvbTkjiOCokighgZSow/ZGk0ZnUQUHM786rKlVOVIVAFbIXJ1wFz8VrkX7bMdmV5UmZxJbBjxTLmfkGAywLgeaInA7ixc7KdFPFV4Zb4peFAhea27O17dmrVSkfzF19rsdgJoebcE1EEYBeSKEw2BJjqCarYdpllmO2J47bAnmkrvuM1Az7z9RFL/ZBIeQxT6exJ4dwbUYlhRPmXOfbO3tI5m2fjHQRe5qwo91y61xJSB3TtVqg0Czid5s/ZXGSNKdm03wsBvAzyIuhcD+RMyJgcd9kqJQ1TzYjpqR7DUQ9ZS1DKAfypZw+wZdPsRXd++aF/9OE/X+bU2To1ab90udG0rCXX6u/C815Pe2ap97VsLkoBmajo8Aqbl0aKZSORy7O/yx0udrg7VXBnOxtkzK1KzL2GwbNxE8XICU/ZzOXRY4IDx2toQoT08ubconqwenEWrkbBCOValILJi42fKtuCZO1mqQfG48rdEZduHbG0r45JA8viqfP8RXWeicikSk4+TnBnZbTgmg1EKfgELYsG4WJ2odPl0rK4LLkpqcjAXTyK0lAiqQt2r7J1FeDl99aXLGXwF9+vcHBSbthjuMacYMuuF/2jTdte9+Tb5w8e8wSaOBpv8QVvWDzTJZAhvsoyjhNzMcraOQP3JKNnJ3c9eZK9lsVFUQF29m8r2tu+ttrbgbwEaMvguFHAZR+8fHdbWqsyuEsgd/vV+8qxtmNv5V57XoxSMZ/7RouDi3UICnnil4Lfye85OS5iPZmi1wScxWZPuqTFo8jjkg0Rb37ZgEeeb4C222UPpcRP3ZDPtCqVLDCcHs/TTA7kxpQkSkmuSPfckZyW2V1YFtcmXz31pHOksxVE5NpclFaVtUHmC4G+FGTmgC/LG/tzkSCMIUklod+g1xszGntvGI5HW+LYHPOWBxp8zXwvpRMZ5ppZZtDkbkV1utGkJFkfzGt8b0nRxzcBAuGyfvk8PJG9FjnIy4ydAV0pB/JcokyA21UT5hWGk8D2igFB+Yg3TzuQJ1aeqJh6I+Ib+xWf/lqT4SiAhocnBb6oSpPJAHMy0K6iex39PWEZln3xOPGYanm87bYRX/j6gIf3B5imzzANbYVlXrMjmGTHAtwFyHPDzWCDzuwCU5bNU2n1eAbwNGdxey7SzFGZlJYZIUqQutx0bUqEVooR3Epuj1ex6mR/p2BwUflO2QWkMssxtduxtRpd5qa6tBpDUn+At9KLkN6YpV7Kykgw23RRsaJwBiaAXR4HPClVyuAvluoLsLkQpYNTgLxg9Qlgu4shZ28l3BzwAtzZo++ZfNtAzytGKHteVjFXBbqfs7W9K+ecBEFEHKV84cEGz59ogO8jpCIQ5JtLlYNLUWbyEoGXXYA8wESUxg6XvHCTDUqSuSeeph5R5HHVroQ3vrzPU8fqjJOAVPoMtSJImfgsmRfOBIPbx8z6NWrSk9doJVDZvBopMApkdjHqIv+gXYAptShcFDdKu5zHqK7YlMBagJkc6GXQl57LAuRSCLSwv9eoTL8b8GCqNaZZ7xN6A1L6eO/5vU+hlKLTGTDX9IuGAVeVV2bVdQMoJt6TxRUpJv8sA/sFQF0BeKmhNtPewr3Oh96UWbsC8GJyag5sB3Q748/kTO3lj8Vz3wWXnooJg4hnjwvu+nqDwTCApo8UomINZtNe12Qx19B38TzPLTgPer3y2WKuicq7fVqtiDfeOuYz94546kgIXsBYS0apc1S03S4mdy/yQNcxYloGe3U18RSFdJGWzbNVRTomV9KCPQN65oGX5aQUIHRxHNbLbZA9kpU0OFksRSkQFTl4hZu9k1uR7vdaeWWztFIahuMm3YWvE/efQKcaLxj3kFLQJiZs2U5zP6/OExUNPglwSiBdA/TS0jPJ2pOgzr5YVa6Iyns2Yp/0wMkLrLIsm5cVXEkL6GxG+Bpwu7tfqn+29mBi765rJzEpdz5Q575n61CzlZVBJk9ENbjMGDu/T8i56q3E3qU2tmw38sxRSbWsAH088nn1tQPe/IoBzx2vkSQ+RiiGwsNPKT5TWrC4SMuOylomL36/QSlnGUrL5va13eRAS+Gymw7cxsoQJUUO6GLXttJKr6vYkaKsvyeOlV5vpS9LWsvmUtuLWMls07LME2/RH/nuc0u8XRsEUkqGI8Fyp+o5l9lITgC0aoOVP5S4MHNP/Psqc2dLmygYXBSbSUlVymiWs5k5cxfgznZ18CbBrUwOaL8E6sw5sY6JfVQqJvBjnjwm+fhXW0AA0kcI5Va4LPFhLniMMlhl9YSUXVxTdVQq+09m99S27tkptCpP3xvj8a7XDvnSgyMePWwnCcRaMUiFK/hynyXNdGyR4i6vIVlFI4oJoIMyuAvQAltJiSrZmUo5jS0LNhfC6nbL4CW7siI7q+5OORgu1ziJCUxROs7lYDaVBpnaefRxIjFGoWmACMBovEzH+p4dW2YHu5gSs5aYWE7Kjmq/YQXE/FUALqpf3kmQqkQpJXkybVeWI8I14FZAbpnbl1XNXWHt/DFL7BQaXKkE30+I04R7Hq7zzKE6+D5IG1wG+TizUnCVf/71NfikPDGlJ3npbKlGpFJdmEq0co5K6jGOfK65dMSrb7YsPkwti49FwEjbrRpzNyM1uZ61H6O4yEx2lbEW4MYaFBbsGoy02lwam4cwTrZkIBdlsJePhS4lfSTIyqpuchyswc+EPT3J6mUyKbs0RhuEJ5FSgJF4WR0E2BLSHNCOljO7hoqkqMoS6diq/MFBVORL5UJZB+SZxs7lSQ7yUppelgBe6ujJwS2zyU+UGLwEblWAO9fdbtZfRZ4oWzV48Kzgw19oMY59aPhOnpC3pilR2iU419zZBT+hWSZvpgr0yqDK8q7CZj0t7tEMJT/wxgF33tdk/2l78aVaMUiVrTJMRT5PEGEQqWPydGIlyaBeCjizjaWUsQGmEQZpLLiltPpcOtkipUBkOZMc3E6+VEDo5EfO0iY/32UlUDB4FeSUpC1rLMZSttgY6p5N7GkN6gPv/+3NrYb//5w4fuJKKYo66vIGReVM4XoZxPJ7ZX+64naI0tjfStZROjdEFu+VXZGSxs71dannMg8oK4GkY+78vWwYvsmtwdw98dJSQ0PsHiNSGfEHn23wx3dNQxiCqqGUR0MZ6sq4cRTkDc5+qTWuyKSWE1ESVTq25QA1+66ylBHNLlo7TCCrwc6afw3CaHZuiTi9KHnsmYDE9cdq10bolVmO0kU3uaqY4mn+2hR/a3Kr9DW6fYL5NdVdkSdXhXxmeHk2pVn7b/KNEUrj/vItUXS1+rJooLZbxo8iwaYdL96y87JXfNk7cuT4dK/XfZMgoRaqyt44THz3CjG5I7eeFCksn0nJIiYclKpEya/+Sg1KuYjJVOSJdKydFQLl23Go8mPG3KYaTHrpuo9KxfhezIEzko9+pYFt2bPsnbtLJfu0Ml6YEkNNBJr5i1yWTIBDV2tDyhsFmCyraSQ6VaTKafHU47tvH/CpexrsPeWDjDBCMk59BlmWLzvGaZYFFCW4mnx8XhZkTgafKpMrpceMnW2QaR0NrQvJkqXzcylRDjJLMjcvyhNV6TJZTZjhTpZURaYeKouiS1hFUUy/13/T0vlT014cRaRJgu9b9rTbZ7PuraK1mQD4pI7Kzfu1ey9OBpZrfNMSsIvn5cSTS66UAsryloGqJE9ysDvmVplEyeZ+uKDSk4nV3iohVQmffaDJ3oOF9hZC5iMrCmlCYYuV2BJRPQ5V1qwSSLkBuZhjUkr66KLzXWtZ8setVLnqsjFvfUWfwx8NiVIFQpEKxUhIfCdTLGac/ZY9d5o8+6/J2dzGAiqPCQyKwsqUGeiFC0CFcIC3BVo5oN1x0ZXzXciUSVdOl49bWaaU5EvRtrYW4GWbNYohGsdE4wgvDD3C0A69kTID+EQNeOkHVZi6tPSVWRwKTxQmwU1eiCNLAJ70Se2+jYXtVOhvUwSWWUF+PunJsriqgLsIKDOtrfK5Hy7BI1O7KapK8f2YI2cV/+WTbUbSt+wtvFLXfBbcloqLSt8NISon4UK3ykZbJS9clyr9iqVYFnNTlERpRao9ktQnTBN+6o4+f35Pg8NnPJAJiJRYCIbCbqO+pow2P5Om+oFKTF6wt/1sUhZsbjIAO+/ZAlsgjbGAF7aPoOKLC9ATOCgz+bpmRUUxlEi0Ii1KK6KxjRvjWDBO7N3D2BPkOT2cZgDPx9xSOmGi8kspX2HYyLmQLIVckWsAvv7zMmPnnmomBcoMXtaqsnBQcpC7wDLfac2xdabFi4Cy2BHCU1Z7dyPN+z/T5vT50MoT4SGkLKxBUaw0+fPySSmfPMpbT70A0EvLa9F4UN5qMRvcI9cEnEnisWPjmB/7zh6//uGATmxHHRsjGWtlbcM0I6TMjjM5MRUyJUOKKOlrg3KXgczY3AhMBmpjchfFCPsdhLTsLoTLNhrhWHyt+1Fm7wsBvGJD/yXsnWn3JDF2TRIGr+72f6wFtk1ViOJAr3crPkRJkkyAvcxkkyC+0OtKDUOpm77K4GYC4GaCyQuJku+0JkuJnMmJTSpBSXv3VIwXxnzizpD3/VmbsfadPFEoIQkEa5uK10nLFxf3OmdlEtxlXFHNaBaltNVKw0oprVSk0qPmJfzEO/ocOB7wwc9aLQ6KFMFISNs4nloN+0JMXoBaFB8wkyqZJDEGZRyoDRjhLkqnyYuET8ba1unIkk5rWHwyflsP4KXDeKHDWQwzxe4YPTLURhovt+JkKR1xIQ2e/4b1lpBJgFeDrBdi7+KAlKc1mZJNaC4M8BJzy4y1pdPc2cZUXrFBVblKsHi0WcvlFfjzrzRYGTtwCwvwfDycKOzJCybA1jsBZbYpnYyyPYhzF/Lud521lEm3S7CeALeVKlp7JKnHVJByx+sGfOqBBks9BTIGI4m1z0CUkiwuyKwGm6LgcVNK1+eBpS2sKjKvVqNrUZYqjsGFZXNtsuNTYvPM+stWkRKwJ8HOJMDXAzprj6vtLzWuoRq8OIEksW9WtpzO4V79gWuYu7SMlJfqvzrATeWKL5foliVKGdRrgK6MA3NJf5d0tifTUvayYG9PJe4xxm8k3Pm1Gg8/U0dLn3x6bRZclrKWxd0UF6hY+13/chJ3EqFcMutOTFHCWjzPg04jUblcsY6KpxNuuTbiLS8d8EefC0BFgMQgiYTHUAg3x8YUn6kCEOHYuhp4FlrcMreRpYDTsXdWWpudx5zNHYMXGjw7LqZCCEXuJAO8qeCseKzuGD0J9OyzK1lqURyONMOxJo4NQVC9otZbGiZ/+PrBwGQ0XHyJdeWJIO/8KLN50WtoSk5KFeTZrsZKrg9uVbIGZbbFoNPfnkxR0g5+P3xC8uE7W5zrBXa/a+mBsBo237Eh+6ys9ZgrUT/V43ShW8Y65SBpTTNySY+bskzJWDyVaGnb2jY3U37wLX0eeCbk8LyEIAat0EIyFnavnaJmZpLFiwsu+3DKgdcgSlrcsbkBLY1zVSwoy0A3JRBrkW1nnlX+lasJyyMlSr2kFZcuA3t2EZQ+8QThCiHwfbsNTT2UeElqSFJDqu0PXq/BoczS67H3JMApAaG4YtdjcrNGnoiMuUuPZbaWJZBPShS1LriLCalKpk53W2BLZYdojlPNf/1Ym/ser9sUWDm4FNnwz8KirHz2C1zQZb82g06FbSgBu8Q+ZS1eAbYpl9HqUsCpkKkmkR4q8Xj1iyN+/F1dfvm/BowTaWlMSxLhM8QWrBXnaZ3KwvKqAqjs0+bls47NXWbaBpf2WBiT6eyJGiZptXv2nslxVJrlIiawVGL0rJZmktUnHRaRnScl8mlmXvaVKvNGLrDUrgH6xBJSnGQz8WEn5YlZ83xdDS5sEkeW2FxNAFzKQnfLdcCdpeJVXmeiC/dEJvhBwlcf9fnUfQ3GYx/qntXejr3D3BqsrjBVDT4Rf5QAXUkjT9B3kW7JJAJVcOvC283Z2xQbV0mtUEa7QT3WUak3Eu549ZC77xvypUcVqNidBEmCx6BCRBm4qyA32KFC5VXGlNjaVaciM4YXwsmSoqnBuPNphEA4p67wxM06q7v7zZPOnLsILZZKbJ8nfUpNEpnMLQWRXrOhiEaKMLBNumsK1Sd0ZPXRrGHv9eWKqQIc8rkZRSBSDS5FFlgKXfjfZQYX6zB39rxUAmuBnBaPLqGjpJ0Su9o33PlAg/1na3YCp9PeGXvne0SK0kVXPjZrTlIZ0C+gTzIwGXKPbU16uxJwVod0ZkFnqiVSKNI0RUqPeOyxZ0vMW17Z5+G9AZ3IpV91hEEQC8XISZX1ymfBam5cUKmAfIdC4VyWEptrU2wraKQDuqvTlkKgZencU+7KsQDJey8nVUFFe5uKZMmSPhnDZ61x2W59UWroDzXhUONlQ4A8WQK4XKsxmUibZo8XZPILVoOV2FtWkyVVFi8mKOUNBbJg88mpp/mY3xzsxdB2z3N62/ndStraE03KH36uzvs+2cQIty2KY28FJWtwsnVvHXlSOSElkF+AvcuPFZmS112YUkZzoow2z2o6Z0VKUmN3mI5TH6k0P/G2AYfO+LzvUx5x4uoLhN11eiSk7bwhCzon+zbLF2iJ2UXB5sp9Jle0Zx/JmFq4LKZxwaaVMtV+SwFOzmTyQ2TArRzLCwC/hEPtasOlzCSdY30h8Oyek26cglew6HrBYvkHT/6Sasdz6QNR/VnV7N86wM7tQT0BdCb0d1GAVASZuhRklphb6ALcWb1JEHPonORT9zTp9wMrTWS2H2SR2Clmla8z97v8/UsrmFOK1Yh/HYybiReG8n2iGEkXdy2LDGf5nqYSKe1Mw1Yz4W23DfjC/XUOnXXaUwtAoYVgjB3RKfIPUDC5yWpR8s/hMptZQseBXWIc6EVuDWbn0DjtbRwGtFv1ipoTU8LO+is/peOYHa01SqL0b7KkU6o1SZKSJBpvZtrHpB5hAL7/AsxE8YHyXz0J9PzP17tAqp3VazR4SZpkEiRP+qxxTwr2ljIDdbG1dwZu+36RrcwkiqcSxrHm7oeafOWJeiFNHHtL4dhblgPLYuhN1eosFZgVwnt93b0e0EvAzoFevmtbxlpmcVNJ/jiZoiVaKHSq0UKRjD1ed0PE624ZcPLzHmNtTUJEDBoSPCtV8jM6KVcoEiJOqxvndyuqQNfC2OA1ky0ZERgH9Ex7G/t3CxCXcwcl+1KUZZ5Zw+Rr5Ez26PpD01STaIU2Hl6ttXNVdKIv1EL/71kArL2aJgGdX00TfzbJ6JWrsQxsylt8lOfZOe1dArUQpYGPbvuMfBi7MlXtXdk4KQsudR5QZvpbBgn3PhrwGx+aItWe3d9EOAYX66fl16w65Yt34mKvgPuvAvQ1FYZZAVYhSaz/XO24l1JXasa1dGA3dlhQEGh+7od67D/lc+8jCh04Gs2CTqMYOZQKQ6Vf07iTanCBpLEmRO6Bu9qUbHSEEWUnxQG/UmM0kdgpkV6xCpZLCqrHsHIYywCfxKrQ1MKAzRumvnD1VRetqttfvr0fDRcPh775cUFcqrku9zpWmw3KOj1vH8u96mphVP73VGnrEWWK90p/r5J6VyULsFItqEvvTWyzUdoVzDJ4IUs8l9DxvIRTy4Lf+PAUDzzRdH2WASjbkqaUnb9dk7id29xMFVm9r51NnvWwVocRKdfuNVk7nx8XMXlMRekCL5Jc1RIGRwaSUkzg5nPLkiw0hg1zCaGnefhpn9VhqQTSQUq7QUA5uMwFrtAyZZaEzYWv2SITOrlSFbaoqAbVWVKLbH/7cslCVke+zt1Nx9Ua4kQjVcCJ0ws/+NAjz+z3Ns6MkUIwHKesdu2ko/WW1wt9mcr3Li0pk4HlWplSyA8BFPPsTEWWFM6KrjB5saVGBvB0rfbOtr9zGUulEtIg5cOfmeLTX21iahlzW98bl7XMdmuoZi3J9xFaN4mV/2/9gyQmjuVkI0HmphR795Se5zq47IWbXI+bMntrSSoUUmtSqZBDxR2vGfH8kT7v+X2fKEwqWsogiHKh4r5kxuSi+P3kSR/yljUjnfPjAk0rV6qBuCixep4jyY5JSZZUnJQsCH1B9K2PSK0NUU8jpN1401ta9exSpB3DesXykCcjzMSPnfjZVePdrC9XRBXgRZq7PMxlQneLquaWwjhfvOSelNySijyRGbgLeSJVylceCfnQ55qMUs9mLIXNWCLsJqZBVnNSCizzz50V60M+HiP7/mUdXg02J6lgLfozOZIVuFW67F3HuJGlwquM1bKOFiGsBs9ALm29uNYeqbA7xP3Qt/d58KmQLz1h9yEla8sQNnCNitA4B7mRpRoVIVBZ8OlArLJEjyiALhzQRQnsOpemhXypGhGlY1dC2rpEuw4W84oa9++n6oow9NBa440i+2WVENQCu3VetlKVh6UbU5qtX/6hpXNXCRbyK3ItqLMrt2hGLcbulrfCKHveciKwtH8vLenwjM2zYLIIKqVMUF7CYCz41Q9MceR0iPFtc8Ake/uy2OVt7bzB0ncpA7sC4TVvvCDIzcTzcvFVhcnXqTJcL+DUwjkqQiJTG3imkeKSbQn/+kdWefBfBPRGEkRSEsl2T/tIiyqTZ9uv40CMcB65yYNMJUqJHmcLZkCvgLxEdPbYiQntPKGrqb63HqCr8sbanVnuJPA0OjV4F+1sI4RHGndIohU7sSgvti9l0fL68BeOmoppSlRZG9Zh8mLDoiqwKWnK0vZ14gISRZoJpySTKIXnnaTwO59o8cS+ECOlS+hk8sSyd6VicFKelAPLyTvl7zdBRZXDZSpvlOtQKoHmpJNSBvIksDPJYgzGFCl8KW0a345v0CitufHKmJ/+ri7/8WNTRKm7gnUhV7RUjHXpgzuQG1yRlc6AbctuMzclOzaTQM8sYDMh6XKwUz6GYg2g17sVxycb+lNocVuoptmwoUlYbxPHCd5LbnkDym/RXXyc04f2EacN4sQmB7KNiYwolkZcS9MLAby4KifAXb6K5STIq7sDlMG89nmR0Jm0BmUmTXKgJ6h6ypceqvHBP2vRGQZ2iwfhmBtVaG9RGpyT+/GlGhkuBOy1xF0s+BcYnTzxXsUqpNRZM8HsWTOuHczjHBZhW8dSLRHCWPbWdstz7ezDJPFo12J+9B19Hnsu4O5vKGg4vZDRsc5AXvLAJfgZyIXT3TqrJCTvsMr0uXCrTjmjmec6zET8UmLpSnnHC4CbyUBUQ5pCrCFKBMs9zd9720287pXXs7Lax+uODSqV9KMxQbBMw5N0+yFCeCSpXeZS4Qpq8m6P7Cw5MbNOoL3+thXZ87K2ndz2orpjl1oP5KV7FdxFQZV02lv6CfuOevyXP21xaMl3GT23O7OdJoSXae9KWr7K2mVwrx2TkX23conxhQPONYxUfj3B3Bm6q6xtA0wLOMviIksGScvohRZ3/rjUpLHm0tmE/+OdPY6d8zh4WmC80tXptISWikiXJJew5zxjb+MkHBL3OUxeEy5FwdhFcGnyWvE1AXrJai8D/oXZ295TY8GdaMEogZWhoqf7tKZiNs3Zbce9R/b5eH7A+bOSDWbIzVeOGY19tC428hGi2AWgrBHLp2ZN7UB2zCiYuuyFUwZ2SXOXXytZvKek3RtdqRKLTzB3peZExPhhwrmO4Fd/v82nvtrA+EUZrO21dFlLUaoYFPYzZywuIP+8OdCpnqwc7NkJmjxJEwxfkSaTwKYI7HLGLrWySce4Vf/btYYZ23JoK/oUaWqfp9ogUrtJqyc1d7xmSGcs+dnfVMyvCghLUkWSgzxnciHQ2GMEWfBpJYElAeeRO6bXZaBPpupLx4782GK39szeN9XYZj2AZ+ydaEGSQpwKlgaCay5Z5RU3dNixNWbH1jGe7yka9dq5M9q7a3W88w3dfuR+gQvwXCWY0JnJv2Yjtyoxlb/EJLhZR3sLkweZZT+3wuayCupsn/TcLRHu/RzsCZ6XEqH57NebfPmRBiZP5Hilu0Q5cE+yd5mtxcR7Fbdk3UBzfba+MC2tfa/c8aMNdvXUpZrryTS+Y/JshqDWAu3cFIFBuxl+aaJQnub1Lx3x1lcM+OPPS6JE2KIb4wSyLSxBY5ncOKZGupWjVEWY1QplssW2WLgfI4uVzwJcVOQq7rqqSL2MJMwFDlUF4EXPqgAaQcINl2+g6cu7oHYO+qg//uDv8LJX3LqaJPVVocPv09EyYaAqsqNcBca6wVfJ0sv1a5aMyGq6S/Xbmb5VhmqNt9N0qtg2uiimKjkoZXA7WSKzOhOXik9lymfuq/Nvf2+Ko+fCUhODD8qNgpCSUEJNFhN1swlZniwlpsTahJcSWcRe2ghLuum3EwOOsud249RqyW05YVM9nsUYuHwAkKz+ncrWfNKs3/xc+jvZ8m80zLYTrros4eS84uBxD21KSMtPvsAg85EO5ffLUbTJYgYyEyIf8FDx+8sJHqt7ROU9XVII1arKqjTRVMGtsedorhHxllddzaXbt/6fx44cf2jbrjfYevCrdljd2l2RJJGPwSBlSlFvpvPxtcqYCuGUPIGJZdq4JWhyK4qq/haTUkXaqL/qhesKi+egliW/W2qUcOwdpJxcUHzwk032Hw6h6SzBUjr+QuydD64sMXduZ+Yr03pTc+0XX+PvUsKNaxyYZKW1TFUUPFmQrLUKM7lStglTYbW4LFcdSokwCm00wtiqQ2E0SaS58tKYH3p7j0eeDTh2vvSBMwp2zw2SSNvAUQu3vaywe3RqDCpjb1EqtBIZo5d9cHfoDdUqQqrHL2fv/HmRHwBRcU5Skw0DNYQSTp2FR58XDEf2R3gAl11+BVLV6S0OGS89TrMREyWScWSv7GzyVHbQyycukx7laDg/wflSZCpsktWjTG41J4W2AC8Hme69HNiiHGQW2ltm0kSlLHclv/3Hbe55ogZ15UBdArmQCLcqZ1uVZyAsdxJVupImH3MgF4AVa55c+LaOKnFg1bk0Kd+LOeJiAvBOmtiCkQL8WqKFbVa2Tb/KnQ+FFppUGMTA8Jobxvzjd3f5dx+YYiXrhiib1wBCYaRHkn1OXbYNhbMKM4Io9HYxUkMUzzPJWzqWZUKoEEOuIsTEcSpkSpwKhrFglAiafsDsph1cc81VdHrD/FplenYzO3btuXth5dBvHF8eceD0KoYRSpkikne/uFLZp8pFT1mzQdF0UGlAkNm9JDnyf2+DxWwGX15jkv1Z+bWcCCrz5zYVP5KG//rJJr//Zy16keeGrZRA7h6VKGxBWSqJXTcNv170T/VEFD6u+CsDvZqmL7P3JPBLtt0ab7zK6rkmJ8t2Skxptwj7XKG1Ik0ULR9+/B09fuLtPeomAZ2CSUAn9tEkYFLQCUYbEg0jAyMNkRZE2lp0sRYkmvyeWcyJsXUiiYbEuKAwmyWY/93inky8p7Vj6cweLLsuwv68VKXs2rXC5XsiFvqnfuPaa668e8f2LQWDT89s47Xf9/MDJeXR+cVN+Pj82x+N2DarbLF8mZEng8fSn7kFZN2/SyZJYIK59Vo/XOoi4CwFlZXHCeaWMsF4hucPBvy3uxt0EzcRsxxUOnkiMmkiyhWDpedrtG45wCxNrioHmNlK9leKLEsAvkAZRGW0BKwD7GJAkHRyRDo/XAgLbCEMovxnWtlyVVEkgJJY0wpTvvfbBtz1YMiTB+zPyD+QczfybTaxF8pYQCogELZrR7kLUGPLZAup52YkUgSDMgsuSzUqObOXAWwmHksSWGEL3CJl2Lop5ld+uMv2jSlecPDosSf/j8HFN/5uAXCAX/6H30O9UeeuL93HE088xuETASZNqYepG3umnWGvXbFM1duedEkqwGYS8IVLUr0gStlLoUtOSuqWwEyW6Alwpyhf8/SRgJ/+jRmeORhifFlYgiLzvhUgcu2tBOuk5KsFQNl3XFNktYbBS6yd6cq/Msyr1mA1MCtV5bn4p3BRyjtEiIouzxwVI2yWM8tE58AXEuEcFhEZrr885r0/u8qP/9+CZw4J8CmkCg7o0uSQMUhi93aqBb7I6sKtTMmaH5QweYdPDm6zzkrJRBmtWQvyfMg+Vkn4CqabcNGmBvsP7aDWfDFXXPwKomgETAD88ovmqNfrnLykzXApRAqP0RgCT1v3gHXsPeG+asbgZTBfCPiT98rPLbO3095Cu+e6sAOdNShFihS2mbhnJL/7yQZPPheSehlzZ5KkAHpZe1flCRM7Lq8vSdZ7P4dpTueTRu4LQ71sCVbfK1cXloLNLAitjB/OXsu8QEsLaZsOnFSxnTXSsbe0TG4MQmtUarjx6jE/9bY+P/cfPXoJlgVyYGdXFlAMkbAb1zo294XIp38pB8R8IKcoXB4pRA5cOQl2dxwLcJt8/jjaKs7MyfMk1AKrqp4/4rFh+xSXyc1EZpgfxxzgQeATBOGhjXPNwxfvaFwaegO8bL/MctFTzr5rrSooQItYK2cmQV28LjF6Bm4nXyruiUiL4DJzTPyUgRZ88FNNPv7lBmNVZuwSczv0rq+9y/ZcGeRFXQ2iiPjLdL3GPaEaFIkXwrZZ+7Rg8GKSVCZTMubGZOUSRQmtcE0L9rlElCSMcKydJYOkq1kR2gadAoNIDaFIeOfrBuw97vHBTzbpxwJ8U3jjGZML444pIGxXZwykDlCescfZywJPl+yx5camuiI6sMsKMRaAzzqm7GGwn0Xg9hACkhQ6vRjfb2BEeDgI/ENRFOXHNVdWm7ds48jBB+/auKH+kR3bp2nUImqhHQ6fBYhFYGgqAWAlbZ41+uaZxlIZ60SaPXNFsrrt4l7S2EKveT/T3J6X0osFv//pJv/3+9ucXwycgC4ldSjALalqbzUJbAq5mTsqGeBzkFfZfA2I12iTCyPcXODNsuaugr6c3STfCaJc9WlrVQqtbgNL+zw10hXRyWIUcz7UU5Gmki1zmn/1o11++G19WmFiIz0XZOYBp0mrAaj9hWgNURaEGhhpUQ1EjQ1GYyPsYymojLOspBHukUoQmrg/T40LVlNBnNg5hJ1+Sq0xi+fXP/KFu++/a9u2bWsZHCDwPZRX/9xUU39nTXCD58XFdns5mCcSDMLYnhABVWkywdaVv+P87pzJi6Cy+NmloDJ/niJKvrcI4dNfrvNr729zbsWzmRqxPoMLt3wW2tus63nnz0tjLcpJkhzYk++LSbYWfwl9O8BOsHg+H6Xs/TonK6uiy4bwlBlcli1Eqg3LWgsnSYxzUYyTK1kMlEkVQxIlbJ1J+Vc/2mWpK/nInS2ouU+XSxRNIVOsVMGo/IBo14ScCgtGJewM8Uy25JLFBZm5dMmLsdwcw+zvUpwTbQSeBuMcvlQbQt9jGMknG43G59L+sHJ8KwC/6vrX8dhX/38PNELxaMMb3WB06rJxaam7XVfAncuRCWDngegax6X071lHk+cSpdDiUqYO8BbgSmhkYDh0yuOP7mxwdsGHWjbzoux5qzwyqfjeFTCv32s5ycFloJexW5Usa7X6X+VWdkzWMvw6SR8oAkxwgC90uQV0FmTiZEl5626ZA9oI4wCvrAciFGlk2Lox4d1vGfDgUwGHT/sQuA+gsce4/CGFdvaHxE38yS8yDSTZSulALhzoVQZcTCUIFZR885JskUaQZheOhkQCMYyNx+nV4aO//YdfeODTH/yVCwMc4KlTO9BGcsXGPrONEVmqWEpdSuSsl9gxJcAWoM9AXuxmWwC56rBUtXcZ6DbIrIL78BmPX3zvFF999nRs0AAAL79JREFUrAahy2OXkzm417jAEtbd23KyJW3S+y4CzurcwbWvyb3wv+4tswnXTJ8tWYf5BYHdD0eWEj6TGU8bHxaWYqbFyTW7RBhtrUTjWFi7czSC218y5ld+usMvvHeKI2ewzkoO8gzcGbAzoMsK0HHmaWoEqQM7GdjJjrtwRW7klmLB7MVem2VHKwsyTWrYvdPjx98xRZwYPv3B6jFdA/A3vu5tCOFFK8c/AuOnCAOdOxvr3ap2YMHMZTAXcmX9YFSWZEkhX7LfWwBcihTpw7HzHr/0u1N8/O4GkXAd0rkNOClRLBtUbUFTOZjZvXzR5lJ6krVfCMBi4vGvC/KJ55ONubkmNxOMrslr9/OJWC59X26QEBW3JfPLwWjblKaFhBRqfsq7Xj8k1fALvzPF8fMlxGT+eEWuuBy/cQU2GchNcfCMsehNsUFpTiRO/WTMXo6JclveFMdECoEvDTUB2zbv4CUveXsUxynwz18Y4Nu2bgGa/8IbXXR1tPLcawK1hJDW6zRZNqyUbcvPaa6zy/JDVwEvcmc3vyhk9l5+AZQcFGcPCuHqTDw4vuDxc789xSe+5MCtsnkfk3freWe+aTWpM8nYJreeLmgPuiTOmvqTdSPNC2C8fKLWcVDKr3ObsKTFy2AudmIoMTjl/k5R0eS506KllSUlFjfaoLFGs3BDWISENLEjp7/3/23vy+Ptqup7v2vYwxnunNyb4Sa5Se7NTAbCFIYgiCAIFVu0+l7L66uCPLQqWqVqB+rrq0Cf2KoftbZqFfsqY1EGCwois4RBSCAhA5lJboY7n2kPa/WPtdfea+9zbuYQsG/lsz/n7Onck32++7e/6/ubLqyAM+DzX2vGtn0RnkGiOywKGYy9QibISUOQmzPxuGiQ9gTLhM7ENC+6XmF8HSQgBKSQ6O4oYObsWb+aPGnG57a9Ua275DS7gZAiKvtvHy0U6PrRWjXcvm8MkoyhkKvA4h4YDxJVhJgxISIu1RDX/9Phqzr5wIjZ1u8JCQ3ZL0zkQGLIgUSAcGDXEMcXv9GMu3+Rhxd3qWowqQSLEUgJUt1/szLVQVPRTDmLZH+ejJqChLoAjT8vZaFT9IM0Br7hyIk9nWYUXgz0rPueHMJCjZS3RG0RgkXrqloWDyWueGcF//tjI5jUFqgsg1g9EYayEkaufnMx3P7CTy9aiRG6f7lqnRNGiosnjEUCYSghQh+yVkKRDmLupH5M7SiF3LHX/913/2N0xtRcHcDrLDgia7V2S+naz36j99Q1G3NLP3pZPz7+vjHkLAn4gJAMQtD4V04sboZfa6tsUBaY7+NXzcVFxoorDyZhQMAp/vmnOdz5YA4eIwnXS+ncSaSgnlhqPTZJZshq3plEhiSYMzVRTLGTekNkWOzDd9fXjTrrTuLnc8pqwwB/ZNkSoCeWXE86Y4oS0RKtmQspY9oiZORWFxQETOVUCgmLAO+/qIr1Wyzc9L0iAiCq0hmpK0T/v/Wr5jDREmn76pAs5yPJ72Zwd42YxBoEQFBFhzOKj71vCP/zEgHB2lf/cv3AtfvH2hteStpoY27CB/HgU03hyqWLJZXt+MZtE/HAkxyuEyQ0Q08AzRokzKhBQgNw6qdqkjAjZjuViUO0pc7q3Qrc4AQ/f8rBbQ/lUaPj0RFmAH4c6w1Zb61NMB9gMXm42RowtuBZ034UwE5AmghxpsgSx1ynLDkMamKC/tAsuTR0cXUuja24lBQiBBwh8PsXVvDOM6sgQiSWV1vxrPWOtXM/eRWGJQ+1JTctuxe9Jvp6asbthbj0rFF8/P01EHSB2GfJ8xeR8PqPXNzwkvLxrvUfvO9MlCqV215dv2bOI8/uLry+W7WoE0J18NK8WaeSac2aZJQQbaGRuh9Jg23JkyC27gwgnOC+J3L43D80Ye0WW/XRNmXAuL5HGtwEkSyIxHInykjiHh6vFrqJ00bYzeKYxNCjhyJ/j4tvk6IkG5P3pgs/oStZd75ZKEhb5/R+YVrxOG7ccOtTEYEcgIg8zaHEolkebvnUCD7LJB54PBdFPUVc3OTlxPj+410xbc0JQTKP0r+phKKaLLn6lAFClcAIRIjdo5NKs6adfRu36qmJHnS8HdOmd8vVa1d9beXpPfsLBQrXakapVETVdxCGegKXxI+Ytbc582AxH07Og1OswSl4cPJeqqsZI0HMy+OFhPGEj1ACwil++ngOf/b1CNyWabWNx5qhmGgzm1hvGc3KG1SHNSMFTRA3mkgav0/K0dNwHKZc2IB7J0sjK23sl1DpZJmc2awlTzyaiSfUVFY0lUnaZ5u8PLLkgkB6wIIeHzf9ySguPaeauBrRwJqbi+bgoQ+UA6Dkq6WqLblnWHHN2yMrTgBKCVzOYOccjFVaMTCUh9XUt3/L9me+1t4xWY53afmBrvu0GSej0DyCk2dvQI6WsOWNMor5Khy7FuniyuLGoOUq8IlwJVqueoVj6x4blAB5R+KC5R64o66wDNR3z+ICAEhEmH/6uIsvfL0Jr7xuqQASfaebiwY5DO6NCNwYp3gP6kGddvokX6f+GPOrZpKNDVQfKr41UEmjjeM4f9KAj7Zrj2cMbt29WEaVrBLlRM80tBUHMahKrMro5InI6xnRBCoFpC+waKaPv/34KCSA+x93EQeJNLKZAlFQN8AcgQvO9JB31LXctofhuVdsdR4XAA+jUAv9JFC/iUuBVkuipchQGu3Cjv5urFi5GI7bfMDre0CAT5w4rSaDTddcccHMO4i3rlCq2HBsHxankBIgVMZW27Y9BELiidU27nzUxUiZYfVrFnb3M/UFXYnTltaQzwmcu8TD5StrKOQFZJj+EZWyRPCzJ118/utFvPq6pUTs2GKb7zWwTWuurHfiRDAkQRhUBfX0xARnat2cbDZCbvaOOEyQZwGcfZ+qLBYjm8QHmV7N8Zw+MsrGNyVEEMO9TwzqQs1IRQV6daPIOFKResBJs5QlFwL42VNuhO0w+Z9HymEhL3D5yipWLvGQzwmcvrQGNwL4rn6GNa9xDJcZ7no0h1+/4sL3ZOQ5VU9nItXD22USLa7E7j3A6/19pYVj+Wu6J0yrHTnAi0Ni8oIZq3qnipFNL79csJiXKvFAqerzDu7jqVc4bn84j7sfKWDfiIVAJI8+QALDEpsfskEgcNfPQ9z5cA1XvqeCc06tYUJBQobqPywo8ODTDj7790Ws3RyBm2YsNdKAjkEeXdhoXhrnWZo1yFMxx1mVZDyJMDqARJwxdZ9lwNyYmx8+sFOWuW5fEmmYpjEybfzj66+UF23Bs69ZkOtJZszjQaK2JSoJGYg6YfsSC2f5+LtPjUJK4OdPOwhVXhpICHQUJM451cOVl5axclkNTa7ymrLogkpJMKUQYNmsAIGQeP87y7jr0Rxu+0UBz71aUPUSKY89saEEyh7QP8ywaOnZI/mWGas2by0JHGAcEOBNLR0AnH1eqXrF5GkLHx3b94TFGeJUMYsFIJaPR56z8IlbWrF9l4sasRQguc7MT2bBYTTLHixT3P84xdMv21g238Nff6SEUxf5EAAeWWXj07c04bWt2nLH8EtQ1shyR49GM3E4Zb2zwM2A2izAnlAOxNZ5PAveqMjXIYM6y7vr5ZJYYcvur/doJrw7nnzGUmG6WzFSVj6zkEhWZMYxKtgCRAoD4KGy6h7Bgp4AX/30KD7+dwS/fNaGBHDqIvW7LpvvoaMlBAsAEVIIyeCFEafXRI8AhIToaha46vIy3n1GDZ+4ReCRVQQ+4ZDUgicoaoJgsBTi/JUn+6MV/4r2tuZ9jps74DU+IMAJcVErrUexdeZOirHXw/KLcykGo8aqASjz8YtVHB+/pR1bd+chLVVjO5kJa4BHEw8SyUYkQEAk9owAP3/CxZ59FF+5bgyVGsGnbyli/Vau4h5MWhJDzwC3XjfQmwiGRggswbj0JHX7ZDm2cf541MPcRTIHjDvzMcDb6HOSk7UqkXyYtthIWfD0TZPO4ZQxXcmCXgNdRLHkddGIMC07FLhJVG1BRsVQICEDgjk9Ab7xuRFc99UmVKoEt3x6FEvm+qC+hPSBUFCEIYeQHGGUE6r/RpzlRVRtm1ldHr756SF87KsEDz/P4AsLgeQoeQLTOppxysnzX184f+bOF17dhuULZxw5wBXIGQbfeHQrs1qvKrQufMwbeRiEAvmch188R3Hd19qwpb8JcFyA2iBRtShdPEZZGRHNjKkRMC8AKiGowOrXOP7x33MoVwk2buWQcXPDLBHOCNMkTU20Yyddz1sH79TTk9THmkBtQKlTQE9NNBu+QaqM20FGtgYINAUx1uOLqcGduhEM621IhkmsirqbYrALdaFSmUAwODtRFEU7b+IIRKImfrqMW6Tmqj8WUPT1hPjo+8qo1AgWzw1ABSBDLT1yhMJCKDiCgMfOQk2hNMAZCyFChumdNXz1E0P41NcYHnzWgeAORn2BM0+dC+F7V91571NbLzh36UGv7UEBbudnQwSjIKy4a2wvfdwbe+kc29qNoXKAr9zRig07WwA3D8JtcMqihIIkASSQgCcYfKIfSZE1BwF8YHqHwBnLPHzxwyVUPGC0TPDoc7b6Zll6ggbANnodauud1b2zk8SUxc6ANwXyzLbUt8mA/EgmlOMCvsG6WTIvHYsSgZlkvJhmultUP1AB1ziOkORpICgkiyavGdpCSLKN1P0m6ttSJvHIszb+zz8XUakplrpiqYfp7QJhjcRJFX5gIQgshCFDEFlx/TTTzXo55wglQ+/UCq57/xBWvZrHQNXFtCmtWHnqvMf/8PIVu4bHKmhtyh/0WrKDHgHgr7/0ZXzq2ncNSNo6yqn3gYH9L+Nb9+Twk2cmoEqaYVkO8pyiiUsUuUQ+Wlwq4VAJO0KbDxLFHASAF6Kvu4YvXDOKT32ojJlTQkztFJjSIXDfky6qHjUSJcfxXqZe1Y2l63tzmkQPUmq0CiFGixVjWxyXksqoJw1yNUnyGs9zo/fx8SqLXe9T+6NthNTFv1Djb6fWifl3zf0ydVzM5ACjrUn6WC2DxtQsE/+ebgwGNC6eKtPvdfQoIxgaY/jkLU148kUbe4cYHnvexu7dDPN7A0xoEQh8Dj+04fs2vHix4PscQcgRhoq6KPoSafCCYkJrAMfx8cJ6jt8573ScvaTnT3/z6tYnli3sOSRjcVALrkeuqQeEdayyc/33/Og/ll3+9bv3oCRaUcwxFBiQ40L1dKdmQrKyFF4owQOKQBJUQwp4ErOnePjLa0ZwxQUVuExC+ABlBEvm+7hkRQ3/74E8EM8fsmRBKynJ9royD0CieWMcehJ/vExb4AacO7FcaGjVkd493oZ4NObniUVsIIEn1tagKSmqoplMbOoRq1jpPE9tkdOx5AkXj87T3DuWFaMLY6iUAEBsifsftrF6rQ0ZzfL3DDD86wMMNZ/ghmuG0dMpUPUo/NBC1XNQ8ywEIYOI6pHrYk+qrymHFXAEgYWmPMOH3zOKzskTIXO99yxf3Ldq976hQ4XtoQPczXejOvbaVhRWfPKZjRuZW2SXuWGAgiWRYxIWk+AsKYMWXwsp4YcE3BOohhTVQGDWlApuuGoQV5xXgRMCoU8AopwJnU0h/uCSCh5/0cb2vXaSSZJCnr7YNF6liKNRDkxPspNIcyLa4PjUXzf31/FuIyH5gLPLA+w2FJH6gKv0vlSxoFTciklBzPeI3fZm751UmTgjniWmKSTObEj2GdeIWsDWNzh+dH8e/SMseVS6FNUQuPMRDlDghg+XMLlVYMi3UK44qNQsBKHBwY06lJwpkPtBCM9nKOSb8LvntN+7Q5z5yZ17Nm+b3zvr2AMcANziXNx+/6+3fejiM9fURiqXvbRmE5ocDpurYpXc6MpmqhRCSLgcGK4JzJhQwg0fHsTvnRuABg5qAlDJDdpdLzF1SoBJHQLbd2ehkEGnsa1OEjRvhxiY9ZGCKUppAtkEOcn+tcw3ylj0xub94ONAwE95Lc1dBmC1PKiJuYwz8NMxLHEBTJnIhjB0cBCSPB2y8iPRT5JoMGD3AMUbO5lSVsy0QUpQFQR3PGJDwsJf/VEVFAxDozlUaxyBTKrNquhnEXfS40zA4yEYk4Ddi4lNF66ZKR7f1tK18nAge3gAB4BFsydhXm/3Ta+8smFWdXTg90eGh2FbxGitF1Vd1W31ohtaCIKmZh8Xn1XFe051UK24IEjqeUsVgAnqh5gzKcBl51axar0TNUM3AWMgjtTTk3r1JGOlk9MaOmtMw5wCdQOgjhuLcgQzzkbgNQGcPs6kHelzs+8TMMr43HRiRForz04wpfGfNIEtofi+9Al++isX6/t5pC4wgFjJq8VQkwx3PdmKfH4Ql56SQ6mUj2pemq0ijQrELGoXSQMUi+3gub7biu2n3VQe3XbY1/WwAb5g3gx854cPDM/t6/njTRvWTbXk2NlCCpVqFOX48qhPJGcEFiewLYq8yzB9ko2lMzuwf8iF49TgWB4s7kNyHzx6WAoh4boC3Z0qXNYow5/R6TQP16lORkw3MS2rHBfcWciYqokZEmt+BSB9U6TOPZrRyGNpOHq0zJeiMSSSAOsoC0yEG656iZQjiEiDdhi8XsuRRvKE/g/qm0CTcCGAHXsYahWqcmPjZG8bYA4YZShyoMWSWLN2AmiVY1oXR94lcGwJiyt6q0Cd9ESlhIIyC8RqeaKto+eP39h8f7m797LDvqz0sM8AcPWVl2Bap1O+6srLvOlT2uBwwHUIcjZF3qHIuxQFl6KYYyjmOVqaLHS0MBRyBKWKg+GSi0rVQc234QdWNIPmcfRaNrouQaTJv9O7Utw7+0rS1plkgFqnezc06eMAeRykH07IrJSHcEyD9zKzQxqfZaSaGPtJbNXrylHAdO0nsebQ58Q3UPozE7ujpZyoewa1QSNwt9sSHTmBogOUKgL7h0IMjkqMlAjGyhRjFYpylaJcZShXGSo1hnKVwBPt6Jl/mTcw1nJE4AaOwILrsWD+bAghnj3llGUrHvz5YzmLhbAtCkaV5eacwOIUjkORdwgKOQnbUq2nfZ/D8zk4D8FpiJAxUBFCUuXCReQGTlCTIcjx7NCoqwET6AeKGEw+JoXjRhQktZD6nQ1hWH8HjIf1g3o6Gw4CQMQcWh+qwE6Mdb3PyPYxeLi2/gngE1d+EthlqiiRg0f/7ZS71pj0G1lWFiHIMwmHSdhRd+sgkChXAxAKCMEQOAQ2V3jhTNUct7hEcxND75zFlfYJM58l5IjsMICjAHih0ISBodIX33neOXLXG9uu27l9s8uYIsuM0ZiauDaQcwHXUY8iQmTUktmoriT0BYwIxYGsd0YejC+rGQZrTipjuiIN+lE/iYR5LjKAr0MoaYjlRjfKkTAXaXx2SkHJrMeXyqQcGWqSSHoJb89GHcLg38mElRjnZelJo/vPfGRSEEJU1wwiY1VNSsAPJaqeavsIqPTHwCKwQ4CpKCyEQYAJk2ZVFyw+8+8dh/w5ocUjhemRURQ92lsLYvVvnrlh7uzJN8/tnerZFoVjMTgWhWMrcLs24FoSjiXAueJXJv01+V185SnAuFl5RF/ALNDT/Lth7Il57ZEGYban54FGXaZPIx7e4P1hD5n5FAPVxAQuEnBnVPz6yaYZjAUgDpvNnJ8FvpRJkkScHqevgsnDdQHvzPXSlFE/bEKhagl6gUDNF/C8EDUvhOdJ1Hyg5gHVmoST7/KI1XXzE088fwOhTQeMFjzYOGILrofFhdc5rfPGaqXs9e8Z/lIQ1qhlUdhctaO0LUVNLEvC4km/eZ25k5rvE6WH+p6SnsKU3p2mJjqxIeWWh2HJDYxkJ57xNqSBnQVvViKsewJkQZ8Zh8LDU9Y6Y7nNSWYGPmY0Sny8+ZqS94gZu5JQFkRxJ9qCx6qJNCppxVw+o7BEtIYSgUntIbgjEAgZJyLHxYnigC4gFBJ+APi+hM+0ZVcdKCQoGJVoKrqis6vzS26+7ZbhsVEPRzmOyoIDwAUX/g6GRvxK9/RZ9yxddpJ0LFVDjnPA4hK2JeFYEjYXUZ1DkSnEKY0uawKcC2zex/CLZ1zANwX1aBJjQMqkJ+aeemkwCw+kUFl/Q5D0sSaQjtA8H+y08WTC7DENqUG0M135qv6ZIjPUIrHchlqSSYpoJB3qSagQFIQDF5xRw8wJocraidPWpOpjKUm6g0Mo4YeAF0h4gYQfSIShQBgKlKsBevsWyrlzeu/JObLye++7/MgutjGOGuAAMH36NCxcuGBDb+/saxcsXCbCUHkzbQ7YXMKyFLgtpgDMudGpmKTrqxBIbH+DY9NOK0l0QPY1oieGepK6D5Dm32nZsH69AVwOzDkO6aRjP2RmJVvtKn0QSVEZbXXjdZDYyqdoShzUla6xAuMzhC4xAQIIgt4pAbqnRgWUozxKKQU8qWqaxBVkQwI/hLLigYQfCPiBQBAKWJxgxemnip6Zs6+d1Tt3Q1fX1GNyzY4JwPv65mFgYNBbvHj5dwX4ZyZ0tMG2fLi2UPQkst4a6JwlpSaSIkABOA8w6AEPPZXDlp2WipxKVa1K0xMT2CY9ARpo1XWTR5nGpSmpNBqk0W5yvDHd2KLLAx2g+XGkomQIeXaiaDqDUqUnjH118eFSdcOUksKvMcyYGuLCMytodQJFsqNyEUJI1HQJZQ3uMLLiEcg9X2Ks5KO5pQ2FvPWZ5cuXf7c0MuLNnz//mFy/YwJwAOjt7cPevXvCiy5696Z3nn/G6LQpeXAWgDEl5iuKEsLiIWwewuYBLBaAcx+cBeCWj2ooccdDefzTfYWoBYkRLWhabyCO/WYZepIqv4Z6aRDIAt3Y1mBJ9jUIyHqThp4MEqSBmf0SJjCz59dnDxlANyehsZTYiJ4kkqHqU6kSF4hHcfV7yrjiohLyzAdCDwg9CBGgEgLlkKIWEtQC1U/ei8AdhkClFkCyIk5aesboeedduGnvnv6wZ9bsY3btjhnAASCXy6G1uP/eBYtO+tjcRe8YsJxmEASwuYBthdHiw7Z8WNyHZXngzIdle/AR4F8fzOGL327B4JgNMD4OuA31BOn6ggkgpXloDIVGmCSNjLAp3MSoGJ+Xj7/xGA2JA3LzcU4ZH+gmdUEC5PjqxQnNCbhFhofHBYEkQxAwtBYl/vajI/hv7x5DntSAoAaIGgIRoBQA5YCgFoHbCxDx8BAT2ltw+WUXDCxdtuxj67aN3OseJAXtcMdRqyjmaGpSKfwjI6O3zug9m4chuWnXll9OtMg+2HYA1/Lh2D5s24Nte3DtGnK5KqphgB/9LIfPf7MVgyXb6I5mlmVLl4Uwi9dnqUo6kEqmLHZK987+BxreAfX7ZN1mMv75B97R8FjZANGNPqHhpNP8cjKRAiMZPFJl0skRSsYzrLQuCESSkFyZATuiFihK/eIIPKCjKcBN1w6DUIkfPQBUygBcoAYXw4Qp9zsRUTCeQGdHK9590Xl7L77wrOs9z791alf3UaCv8TimANejubkJ1crI9+fMP51a2PHl4f7dEzW4XbuGvFNFMV8BITW8uIngwWeL+PsfNytwcw1sE+BGdSOgrixEVuNupKTAfNWflAHvQWFIGq8eD+NtRvPFUqFEQxUnphwZOVAFd8dMJD5WT0BlVCtcSpkEIQINaQpIUjg/Lr0MGjeLlZRA+gSthQB/85ERdBQFHvp1AS9tEQh9gZqbwxB4BPIQkAQLFy7Ye/65Z36+XPG/39Z64PomRzqOK5Pcvv4uSBn+UXlo9VfC6qb29tYK2prHIEgF67dKPPC0g7sfLeClLS780IrAbbp7aZ0FJ0QFrTkEsKMe8+kMHhln8KjQZJlk8RBjoZm+mOb+qPd86rzUNv0+6VGvesnrXvX6eBIdk9lGzc9NMoziTCP9nZlMMpGoDimV0XEiXqck2Ze0P08WZm4z90WtGqmRbEB1V2mi+y416FVKzdLWRie8aL9l+QhCgdVbOO76VQ4/e6qA17Y0oyaLyBdsdOYCLJs/dWDlafM/wxj9l09c9d7jhsHjPlXavu77FNL/oPQ2fLtSer7pmdeA5zdaeP6VHF5a52LMswCbqa6eqUpVMJw8iYJCoILWbAJYVEa95qWqg0LTvXcoTQCf7kOvQBInKadS2IgB9BMBcOP7HibA02BGDFAdlkoOF+SmvyLb8S6ubCaRblWjgG6xELYTouQJvPAax/OvWHh+YwEPvdSKJX0LRk+ZN/Ua1+E//uvPfOioPJUHG8eFopgj79ZE+9T8bc+tmhL84L7wB3c9uNPdW21GEFLFLwqmtm1OBY1gK7Ooj8G5693zmXiUOie28XHGenq3xKHnw9ePFCc/xHEoTp6jHUnCcMZ1GucWGtzbSGWLy73pokAmXweifYlWjgj0gS9RrUkwLnBqn8SyWRK/NzaAqwcmV5/e1PaR32yZdNek1sHjCm7gTQB4R881uOza74Ye6byriRbC+XMn/qi8dqdbAkMQXWqGpM+kLmOXDrhIKxjKruu6J5n6J6ZEGJ2QfV83xsHj4U0NDV5/BPeHGeYKKY/dszUbuGUEZRnJPzFYEycQSUi/BnPq+6rfTEQfYrYrhDYuRIIEEkJSVKocheaZ1TNmtf7BuRcM3APsDQn582P0nxx/HFOZcLxx7zc/jCXTWbgmvOTuy86adOWVF3eVJzZ7sCVBSxQM3xYtzVzCjbLR079SMrITyDp3vZYNGwA/9TmNP/7wR/YpcDSfd4zNeCOpMO3tNJ040TFxMFY6dW28EQqKIOTwfBtVz0G15qDmOah5NsKQY/cAsHnwZOwYXn6V0+rd3f9655sCbuBNsOB63Hz9B/HjH/9AXnffujuuP382P3U/+davX9zbwoiAzVTKG6Bcu5CAH8UwqDoqSDl5GionWjIkDfYdzheNjJZW1Q44TDZ1nKSUI419OcjHJnmaMIx1HJOSOH5g3AD6bD2x1A8bKQmCkMWZ8gDAmAAlAULBwZ1J+6bP+J3B9omLtuwd9OSk2c5xuFiNx5sGcAD44Af/B276zncQjE35t3cs7bDmTu+55Ve/XtsxPDCIgkPBKFD2CMY8AhFIAFGN5TjgncVA0l7LFE3Rzp1M3e863m380PGHGdtIZtvbZYznyEr9n7VHlGSDswygS0RSYFiXbZT0LtUKiqr1EgQElZqDao1HicM1FIoT4LQu2c9ly2faNp/yQzG5SiBtvJnjTQU4AFx/9dUAgB39Qz+0Lc77eibe+IPbfzlRVocxoZWjVAMG/BpyNR/lilQ1ClmUBkVUgI8Gty5Ww2gy4UwqytZTk3HDVxtZ4ANZ5TcZ/IfyJCGZ9fHPUs8madzdwmiOpmpryqgDWzqyUBcSUipKoMIuLIHRCkctYNi1rwOVmoPWYgUTOlrRPOmivZ3dZ/+ZEMEP+bwajpK8HdF40wGuR3dXK/aPlL53xWXnEF/QL//68UcmTiiWMX1KiA8078aW3WX89Fc5bNjuwhNuVGmWAZLFP5Mq1ZZ0btDgNgGuj200CIx51LGkA4dLi47+zwFm8gaS0IXx7t34zCjo3AQ5gepQTIhy7ND46KTztON4oNTDuu0UP3nMwoYdDnKMY1IrwdIFHVg884y97VPe8XlI+T1ut76JVyM9ThjAAaCjuYCRkdJ3P3TpacGCadZX9+14oq2tuAELekeQz4/h3adV8MCTLn5wfyt2l6NMbSRc2yy1ZurKNPrt6EGscrw6TqJBo3MOeWS8qI1GNv0slYZ2aH8ivd7AQKaOiZIfzHVTSE1ATgEiQITS8aVRSBUEsK0AA6UA//KzAh54sgmr13NQ28aiGR7yuYmYMvPcwaYJyz4rQvoDbh+8fuDxHCcU4ADQ3FyAFMGtZ69YPrDqme2zn9/QdvO/P+VZ/+u9LlbMDzB3ag3bdo/hjidyCGTirWSRs4ZpBw9NW+/ot0iNVLaLfpt1UY8H9HHGofP19EFagj6cZzY5wLZ4X6Mi/5l5iT5DZ/voMFoSFecEFcp6Q3U9FkJCMBVgpeJTQjzyoo2bfzwZw0NN6JlUxR9fXMVZZ873N2xp/dzM3qWbBMnd79gWTvQ44QAHAEK5+Nf7XroX1kq7rWNX+V1nFr85OvY0Wfd6ic7s3ouVJ9fw0CqJ/QGBRRB5LxXQOVWeTA12/SOaEyj1BoaVVAFN2nrL7PEkkVKSgKZx0H6cuEgSp934FiD6qMwE2ky21p+UZDQZQbYpSTACOFSHY13kHlAeThUaq0JkCQhKVeDx53OolIqYNYVjckeH6JuzWC5bNO3j55/X8S/Aqx4hK47PhTnM8ZYAOAD890uXYLh/nUfZlFtFrfzo2g2199fEtr8Jw344NgFlHFRQOEzCilzzPLLcCuRJDIe2viJ6ppqlhxPMRGUTCOIepjEMDD6e5qtIAdq0nnVJyYeBfBN+MvWm8XEmUOPqJRnVCASZHBEZv+rvF3srBYllQioBqvtTIsmfpSFFSJmqYSM5ajUCEgRYPq8bJ/V1/aXH+u7oH5i2fcO2inf6KYtPHJAy401x9BzqaOmah6YJ0yvrNo+uv/Xhq26c29f1pTExN7zryYnYV3PRbAMFpsox65gMzqAKf3IJiyFetLKS0nURJcHCjIVG/RJ9n5REltEUG3LrcWpGHDD5uNGTptEx2e3G3aTi380wBaPLdAOaovssIboeoSDwQwo/YPB9iiBg8EOCQKhW3kJQhCGD73OUqzYYsXHF+RKXvKs77Jjc86W/+OzyG1lt1/r587orp5/SdyIhVDfeMhbcHKef/V74+78V8vY/+avK3l180cInPvPG3tVOaXgYMlQtCglRILdoBGqOOIBKRBEOYeQjCg3wUGKoYeZiUhXtBDEnpAdRZFIC/UFGQ25/KJPMRju0tYYB7KwHl0ijzXosFAIECKN+9H5AEUbXh4USFo+C0agAjzo8VD0CL7Qg2US84+yTa2dfdMlX2pqn/pXt3I6vffEDbzJKDm28pd0ZO3YPoZhj8ALx5Rdefn3FN79/Lw38yoqXtwxyi3C054GCI+FYgM2JypOgCuCVmsRYlaDiR1RFIi4OX7dQmSqUz1hSRJTRSIYnep1EhUWTbZQlUYM0ihpk0boqXE+SKEWqb85MEf5UcX4ZRxcm0YPRPCOq4acjBzkzC1gm0YBm6GwqitAAeigoqjWOsYqNclXV6qZRdVfHEnCcEHnHQ1O+giD0UAmmB4W883R33+Wi0DLn6cDjn3eLVRAy4URDZdzxlga4Oe7+95/AdaymfcMj33n4+U0feGLVAG3jZbQWKXI2iWqwqGKfFAQDowIb9wJVX7Wts6gE18Ax1JZYQ9cASi0kArsJ+KTIKKOZUFiSANwEfNLhIQ1wQtIgj8NmdXw3awxwxtT/JS5YSWVUpSABeWOARyG0TIBTFc9d8yxs3tmM/cMOCNFlPgQcW8C1QxTcCqZO8rGvMkn4WHY7syZcLUV1dMXZl55oSBzSeEtSlEbjd9/3XgzsXTfa1uz+SV9vz0abvbzICgYv37hxEzjlyNkcrkOQzzEUcwxzZlbRvHsEP3kmjzy10WwrtzKNitoIGGoCVRNNIgEaTU41hcmOZIpWbxt0F4i0dNjYhtSxFGMibDqczDkBSZ2dPtmkImayAzV172gfZyHyrgfOK3hsdR4btzSh4ADFPEUhF6kmUsD3BZrb58Au8ns62k9bU0PPP1CUR+f1zjnRcDjk8bYBOAC0T5wHAPs2b9n2Fzd+bs6MF19ehzWvdF2+Zs2rqFXH4Ng2mgsWOtuBJX0Bzlk+iI27PLy0sRMFO5HcNOfWaqBqKU4i3RdxibS6QcadR6bDAQiJOTAwziRTJt8j5t0Z9eZQ5wGJCz1JetBUJfFyRsKiVDdCwfXw0hYP3/lZG5wAWDIzgBCWuqHCAI7bhO6Zc9E1te+elklzPuXVSls7Jhz7nMnjPd5WANdjZs907N6zb+uypQs/Wyzkbl2yqO+TGzdtWLn59Y2gpILmPIFrB2htEejr9vCbDVpWVI95CTUBFZH2S6m2qIqDMtSHiDaKXEyCuwyNMBP4ctDybdJw+sQTXLWSKD3Zbg2GPm5MHGmUucMjGqIBLqLITNUPh0Y96oGNOyn6hyx0OsBoKUDelWhva0FPXy96e3sfc93cP3RN7nk5DIO3JbiBtynAAWBS5wQA2Cil3AhgDSVi8vx58/5x7+6NvaL0ImsplrGlP8STawoo2gQFWyBnKTDUAlWMxg8BQHFoGZX3ZUYYacpUmq777OZYg47+xTdAYt/HixowQ1dTXlWYb4w/HfOf+i9CNRePatAwquSkIGQIQo6ax+IbqVS1sWJBGbM6y9i2w0Et4FiydFm4bMm8jZ7nfXTO/NN3AVhPDnqHvrXH2xbgekQ/wPr+PQPrhQgvam91p3a0LrpTjN7dvHmdKJTKDjoLAi05gZyjoLZ/DBj2CKoBAaMSLlMN3RiV4CKO50pZ7eQPJgtJ1Sc3gG0AOu0eT24eE6ImyIWmToYmn9XjU7iPrLkKhFIKiK4/w1kASiWCgKNUsTE05gCQyHsUnEnk3TKWzGGY0Nlb+uSV548UnfCKmTNn7GSMbn27A9v8uX5rhhAShIACIy2rX3n1jE27yD+t+s3mYOfr69vLowNNeQco5AjaWodw29MSOwZc+KGNokXR5ki0OAJ5RyJnqcq4FiPghmLCWNKeRSsnnKq61klCsZFsbNwEKStveB2zSgo1VRxmSIOxRIhIOYlUk6hqmGMJuI6PvOsj79ZQyNWQc2sIhYdd+wlu/2U3OnKtaCkStDZLdHU2j86ePWUg3zGbb9njXtXWtOSZ6VNyw4AUR1Nw/q02fqsArsevntsBizO6f3jUvezSL9ReefbGP336mWf/sH/Xdr+rrTpvWd9utxpswJ//k4uX1zXDd4uwmItJeYlmVyBvA65FwHk6q14DnDNiaOWkAcARy4TpQp+GIz96qxvNmg1q49cI4JwqUHOuZEGtg+useosrSS/nBmjKV9HaVIJtjYDly3hhLXD9t6eiye7GmfPy1XmzW9bN7ZtuzVuw/Nbypg/+3+5T/9EhvLUKBIKQt5YX8liMtz1FaTTOPaUbUEpgecOmLeCc38w5u/ncM+ex9rbCNyc0759TKRXPXjZvN/vdc8fw4uYa/u2RdtRsB8zwjPKo3lBSTzuZOGrLbBYESHR13dVYh+waAl/cdkTBXQCqpztN0xNIpe5oXi4MaqNvmjAkEKGKRuFMyXuUCBCM4e4nLazbMRXL+hgWzF4cLp0//4m+qe56EZSvJVSE3HJR6LtTUmt6+UT/Xsdz/FYC3Bx9s3uAhLIGUu67GnDa9uw77W8X9P7CPv+kteHsWd7JA7X25Ts3lyGDYUiLwrEs2BZBzQeqfuIEIgaVoFSxbQ1onb5FiKqTwiip49/JYkT2MYViYnBwEqWWSSERIgpBiNQWK+qUoRo3KQcXRAhKQjQXixjyW7Fhj/P8i68VX3jP2V3sxusv9iTv+oIU1cFZU1tP9E/ypo7fSopyOGNwz51wbLnyly84F76+KbzCq5bmhkEFO7ZtRnNeoOqN4JlXPZCQoqudo7lgwbapAjMkCCWwGAFjFLpnvaYtnBlKCVQIQRBICIG4PiAB4paLmpoQEgWR8SRpg1HAsQUKro+2pgoEanhhfRNs3ozOdo55c2eguclGLue+Nlimdz63wX7I5vKxD//+28PjeLzGb70FP9ho67wCAB7bt3/gsdOX4PFqLZg9ODAg7rp7v1i2sH1mR6f7Z2NsJ+C5kLU98L0RMELh2ATDYwqcjmWBc6ISAwSiTnOAYylgB6ECbQjAExJBqGNBlK5tg4IzVewyDKPtHMjZyrXevz+EYxHkHImW5iZ0T5+K0eoopoRzMTZUuZHbQ5tn9p1Fm1taKYi1aRLw4KmntZ3oS/uWGP/lAa7HhI52AHhQr0u5HYDTun3XG0/Pn2MjrNl+77QF11kM71LBVyG+d9cqNNExdLQ5sDmwb1hAiADlag0WZ5jY6mP3gESpbGNiKyB5gDf2hAhDio5Wjorvo38gRPdEG3mHgzMLToFj32AAIhiaihIzu4E+vgKOY8OyCFyb/LytZfCrvFqylkxcDJ7reUyK6tCUaW/dgKcTOf4/wMcZhEwDgCEAPwWA3bt2ASDrhAi7CIHwQx/CWgtKasjnLFhMoNLv+++9eNkNG7eOXupa0l88p4TXtgoMjrSgZzJAaAW+A1BpYfokjuFqFdZWgYUzHExos6yRSuG+kb2rbyCUWQCHbQl0TWQoTJoP23ZBKKGMsX4Am6dP7DrRl+htMf7Lc/BjOXZueQyUkK6nnu9v4VTIpXNHsXaLwNBIO3qmSBBWwQuvEXBpY8ZkhuFaGWs3E5w0w0ZHGydD1c5hQmT/Ze8+50T/V35rxn8C452UBB8kjNAAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjI6NTA6MzcrMDA6MDD4rcFQAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIyOjUwOjM3KzAwOjAwifB57AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68104495
{'hecke_orbit_code': 126100789599937842, 'n': 1, 'trace_an': 2}
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id: 68104496
{'hecke_orbit_code': 126100789599937842, 'n': 2, 'trace_an': 2}
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id: 68104497
{'hecke_orbit_code': 126100789599937842, 'n': 3, 'trace_an': 0}
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id: 68104498
{'hecke_orbit_code': 126100789599937842, 'n': 4, 'trace_an': 2}
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id: 68104499
{'hecke_orbit_code': 126100789599937842, 'n': 5, 'trace_an': -2}
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id: 68104500
{'hecke_orbit_code': 126100789599937842, 'n': 6, 'trace_an': 0}
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id: 68104501
{'hecke_orbit_code': 126100789599937842, 'n': 7, 'trace_an': -4}
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id: 68104502
{'hecke_orbit_code': 126100789599937842, 'n': 8, 'trace_an': 2}
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id: 68104503
{'hecke_orbit_code': 126100789599937842, 'n': 9, 'trace_an': 0}
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id: 68104504
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