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{'Nk2': 35280, 'analytic_conductor': 70.42805458276929, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [7, 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': [8820, 1, [4411, 7841, 7057, 1081], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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': [[11, [-6, 2, 1]], [13, [-7, 0, 1]], [17, [-6, 2, 1]], [31, [-27, -2, 1]]], 'hecke_orbit': 31, 'hecke_orbit_code': 135107988854678132, 'hecke_ring_generator_nbound': 11, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8820.2.a.be', 'level': 8820, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '420.2.q.c', 'nf_label': '2.2.28.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}+(-1+\\beta )q^{11}-\\beta q^{13}+(-1+\\cdots)q^{17}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8820.2.a', 'trace_display': [0, 0, -2, 0], 'trace_hash': 1540220253180372377, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.884', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [7, -1]], 9, 8], [[[2, -1], [3, 1], [5, 1], [7, -1]], 7, 5], [[[2, -1], [3, 1], [5, -1], [7, -1]], 7, 5], [[[2, -1], [3, -1], [5, 1], [7, 1]], 9, 5], [[[2, -1], [3, -1], [5, -1], [7, 1]], 11, 7], [[[2, -1], [3, 1], [5, 1], [7, 1]], 7, 2], [[[2, -1], [3, -1], [5, 1], [7, -1]], 12, 11], [[[2, -1], [3, 1], [5, -1], [7, 1]], 7, 2]], 'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 9, 12, 11, 9], 'Nk2': 35280, 'analytic_conductor': 70.42805458276929, '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': [8820, 1, [4411, 7841, 7057, 1081], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1921, 'dim': 69, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 31], 'hecke_orbit_code': 33563252, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 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mf_twists_nf • Show schema
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id: 1407436
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '8820.2.a.be', 'source_level': 8820, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '420.2.q.c', 'target_level': 420, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1407437
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '8820.2.a.be', 'source_level': 8820, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1260.2.s.f', 'target_level': 1260, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1407438
{'conductor': 84, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '8820.2.a.be', 'source_level': 8820, 'target_char_orbit': 33, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1680.2.bg.q', 'target_level': 1680, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1407439
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '8820.2.a.be', 'source_level': 8820, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2100.2.q.h', 'target_level': 2100, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1407440
{'conductor': 105, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '8820.2.a.be', 'source_level': 8820, 'target_char_orbit': 29, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2100.2.bc.e', 'target_level': 2100, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '105.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 1407441
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '8820.2.a.be', 'source_level': 8820, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2940.2.a.m', 'target_level': 2940, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1407442
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '8820.2.a.be', 'source_level': 8820, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2940.2.a.s', 'target_level': 2940, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1407443
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '8820.2.a.be', 'source_level': 8820, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2940.2.q.t', 'target_level': 2940, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1407444
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '8820.2.a.be', 'source_level': 8820, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '8820.2.a.be', 'target_level': 8820, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1407445
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '8820.2.a.be', 'source_level': 8820, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '8820.2.a.bj', 'target_level': 8820, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4857650
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 135107988854678132, 'p': 2}
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id: 4857651
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 135107988854678132, 'p': 3}
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id: 4857652
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 135107988854678132, 'p': 5}
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id: 4857653
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 135107988854678132, 'p': 7}
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id: 4857654
{'charpoly_factorization': [[[-6, 2, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 11}
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id: 4857655
{'charpoly_factorization': [[[-7, 0, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 13}
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id: 4857656
{'charpoly_factorization': [[[-6, 2, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 17}
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id: 4857657
{'charpoly_factorization': [[[-19, -6, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 19}
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id: 4857658
{'charpoly_factorization': [[[-6, -2, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 23}
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id: 4857659
{'charpoly_factorization': [[[18, 10, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 29}
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id: 4857660
{'charpoly_factorization': [[[-27, -2, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 31}
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id: 4857661
{'charpoly_factorization': [[[-3, 4, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 37}
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id: 4857662
{'charpoly_factorization': [[[-54, -6, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 41}
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id: 4857663
{'charpoly_factorization': [[[-59, -4, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 43}
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id: 4857664
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 135107988854678132, 'p': 47}
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id: 4857665
{'charpoly_factorization': [[[-24, -4, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 53}
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id: 4857666
{'charpoly_factorization': [[[-54, 6, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 59}
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id: 4857667
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 135107988854678132, 'p': 61}
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id: 4857668
{'charpoly_factorization': [[[-3, 4, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 67}
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id: 4857669
{'charpoly_factorization': [[[114, 22, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 71}
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id: 4857670
{'charpoly_factorization': [[[-175, 0, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 73}
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id: 4857671
{'charpoly_factorization': [[[-19, 6, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 79}
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id: 4857672
{'charpoly_factorization': [[[-54, -6, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 83}
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id: 4857673
{'charpoly_factorization': [[[-174, -2, 1], 1]], 'hecke_orbit_code': 135107988854678132, 'p': 89}
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id: 4857674
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 135107988854678132, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 31, 'label': '8820.2.a.be', 'level': 8820, 'portrait': 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QzHHr4WCGuYnzZsmEpY7gZ0h4JR7LEyEGyeMix1DMfPKWqez+ZZ2D4fsmluxMa5MZvnxmzfZNm5WXHFDo+6anLkeJv7nvJ5ZH/ME8ciEtXjW17a4a0vttTVHPuPTXPktObU+YSzKbgPLlpuvGqBn3vnCjs2THH6/DTnV2osdTyWO5LVXkK3n9AfwYGjSxw42b3isf3nXnbk+JkLjp4697lbXvNt4T23f/T5hsTXdfsHzeDLKx3i2CIlv/KVRw6++Kd/+y/lO15y5MX/5ttO6YXlzSx32ix1Gix1fJY6mqUOLHcSljsRS6sJZ1fh0JJgfsMqv/C9S9x0aYMT52Y5fb7J6UXNuSXL2cWYkwsJ53sx07MjXnJNnxddDr6sE6iAc8s1zixqzi4LBmOIY0PNNzRrCTNTMQY4djam24ddmzya9THWChA+/aFh5+YxS6sarJMiq30Yx2CxLHdCtm306A0VQlmEGdOueezcMmJ1IDh2WpMYzVxb0qoJAg/iWDAYS84uS84sWc6txATBCLyYW67s8+KrBPPtOksrbU6cCzi9COcWY84tx5xahkNLlhdeucgvfu8Km6fbHD87y9mlOgsrPosdyfJqwko3YqWbsNwzLPYkJ7qwutzlt//tMH7n62v3qtkfNV79qnuFtT9jpSKotZ9vqDzr7R8sg7/njz/KS2+9gX/37/79L3/441/6t+/90BcvfupY54KDp/vyJVcPuWhrQmI01iqsdeyNlYAEBEJYtLD4Ek4v1XngoOSa3ctcvmNEowaelviewvc1zbqk4UkGfY99R2vc8YjPsfNjunHEvhNjNs0t86aXrHDNxT1eeHmHo4sxiwNBIxhx+LSl021y9UWS1VHCnqOKVkPz9DG4ZKtlFCaMEh+tI2ZasPdEgNIJnozRHgzHkpsuHzAcSK65OKE7TDh2usWFmxXNRsjq2LJxesBKv8tffAkeO5LwxJERu7Yuce1lXWZmQ954S49vf7ll9+YWSTTNkVNTHDrpceKs4eT5iJPnEw6dFxxfjXjBpQv8wvf22DQ9zYmzs5xbarCw6rPUkax0Ejq9iNV+wkrfstwXnBsoVroxN16xyI9964KsKXHB2dMnLxwMkpsb0xfU642ZLzz50Md59x/++fMNmXVv/yAZ/MN/+XFe/MJd6lO3P/OfDx8/+7NPPH1UnV2OWBgpzgws1+w6x2/9yALX7W5wbmmGpU6D5U6N5Y7Hclez0oOVTsJKN2a5F7PYgRMrAl0fcetVy3zHy0Mu3Nhktd/m/HKdhWWfxY5gueMkwkrP0B0aumPLYBQz147YuckAgsCznDzvIWTAro2KC7datm4ccG5lzOMHWtxwiaVRX+Gpg7O0miFh6DE3YxiO4IqdI/7sS9NctiNmPLZsmJJEyZBWLeDpoyPqXpPrLo154nDIuSWfbXMBF26BnZtDlIo4uQi+ZxHCsmtTzExL0hsG9Ace3YHHclexvApLHcNyJ2Gxk3C2A0ujhJ3b+nzHKxa59XJNzWtzZrHN4kqNxVXNclew0jGs9iJWegmrfctSH872FOdWY2667Czv+pElLtnWYKkzxXKnxmA8RdC8KPHrm3/59OrlvzjbOJ68/NXf+nxDZ83tHxTA9+/fT61Wq585fXLnY088846Dh0/90p79JxjFksEIVoeOUU73Yl540Vl+80eWufaiOudXZlhabbDSrbHc9Vjpala60OkZVnsxK72Y5a7lXEdwum9B9HnrSzu88SbDRVtqhGGDlU6N1b5Pp6dY6Qt6A8FobAljS5KAkpbAg3pgmW5bNs5GaG/EoTMhTx4MMHGT198cor1VHt4zxQVb4DMPxLz06oDznSE1rYiTiNkZiCMP7cUsLTV4yfVdPvPVFhdugYcOjPFo8LqbDLEY8uShhCMna2jps2lGM9MU1AOB7wuUgNhAGFlGIfQGltW+oTcwrA4MS33LMEnYtX3AG1/U4a0vDsG0WFqd4vxy3entrmalA6u9hE4/ZjUF9/IAznQVC92EF156jnf9yHmu3FVnYWWa1V6DTj+gN9B0egKvth2vvvk/bd15+V/u2LH9+Hg0Gl5yyaXPN5Ty2z8YgB85fJD5+Xn/wMGD33/w4IF3P/ro42JxuScHQ0N/ZOiNLL0hrA4l54eSM72Imy4+z6/94BLXX1xjcXWapdUmK92A1Z7PSk+z2hN0epZOP2G1F9PpG1b6lvM9wZmOYWZ6wDe9sMctl8fs2qRo1z26vRqBJwFFGEuMERgLgxEgDDOtEQdOWYwNuf2hJuNBnYu3+dx6zYDIrHLXI9Ncd4nHgbN9OittXnTNgC88HLBp1rLnmOVfvKXLnqMBm2YldzyiuPUKxfKgy+ETs1x3achdTw6Jxw1uudJn944Rw7jP5x9WkAgOndS0GxotYDCUGCtIjCWKAWnQvqHTtzRbETu2jHnxFQO+6YaYuWaNc8tTLK3WWem6Y7PSFXT60OnFdPoxnX5CZ2BZHkjO9gSLvZibL1vgl39wgWsvrLGwOsVqr0G3H9AdePQG2oG8D2FSM5dedo29aPfuH79o98V/vLi4EF76DwTk/yAAHseRDMPhmx6+7zMXr3STdz3wwMNeGEMYwWAYMxgl9EeG/sjSGwo6Q8H5oeR0J+aWK87zKz+4wA27fVa7UyystOj0a6z2fFb7mk5P0RlAr2/pDmLnDgwNnYFloS9Y6EOUjLn2kiGbZxP6A8sbXjTmgs2GOJFoaQkjuPPxGsfP19gyE/PUoRqYBpdvV1x/mSGoDXj4wICFxSZXXdCkPb3CV5/wuPGSGkuDVVZW2mzebHlgj+J7XtXnwT2a7Rs9FvsdVpZnuf6KAV99KmG2Ps1VF/c53+nwwDPT1HWTF15muXTnCGSfx48INs5GnFuIuOtxj1GkkBISY7lgS8g3vSik11dsnTFcfwmEYYPlToPlTsBq36M7UHT6km4fugPnlPQGCd2BYXVgWR5KTnUFneGYWy9d4Bd/YIUXXuIujk6vTncQ0Bt49Iaa3kDRG0r6I0F/kDAeJ7zg+hdGYaJ+8u3f9qaDzUb9b3zfM883tp73TGY07pNEg+89c+yh31o6t3/25OlVppqSYSiQwmKNwua/7SxAISxSWqTUPLh/Ez/zPs1bbl3mO1+1zIXbQs4utQn8OvXApxF4NOuaXl3SGnpMNbW7YIYJm8aG4djSGwUsL9Q4ecISxoZTZ2OCwAICX1m0FAyGCoFHPNC84ALB7q2WndsGjJMen31QsffgDK+9IeD6K1b4wGctvmhwwbYBT3xVsW1asaE9oKbqhJHH+R40a5rtmwSP7Q25/tI6L79ukT+5bYjvtXjNzRYvGPDFB0I+c3+TZ47UuWhrgwu2JMzPhFy4IeLqCxKUMmhlAUsjCJifDggjj97A56kDnitRGCr6I0l/CP2RpT9w3703TOgPLd2hZXUICwPFuRVLY6rDT7x+gW+9dcy1FzU5s9im06/Ry8Gt6Kf/zeFYMBw7AhhFljvvftCrN2d+a27DpuVXv/zmf9PtDv6k3W48r/h6XgEejgZYxA+cOnrfrxzZ84XZ8aBPoxaAkLgaCAEoEO6ZECCF66RR0qJkgi8lTxyY59H9TQ6cPs9bXtznxVeOmG61We40aHZrtIc+/YF2J2ckGY40g7FmNLaMQkMYWaLIEifuHsY+1oBUAk8Lar5guiWYacHmDYbtmwZsmOnwuYfh7kc9pJnitTd4vODyHvc8ExGO2tz6AkFnOOT8UpNbLjVsmB5Q1wGjWLHQjVBG8IJLNY3WmEf21XjZ9VO86Noej+xTYKe44Uqff/4ty3zhsZA7Hmyy53iNnfOKzbN1ZloNplpQD8DTFiXBWNhzRJAkgigWhDGMI9x3HCcMx4bR2DAYGQZjQ38I3TEs9CXnezA2I1593TJvenGH736NIY7bnF1s0u3X6A19+kOP/lDRGyoGI8Fg5MA9GhmG44TR2EnJ0wtnOP2Xn50Nw+TXv/WbX657vcH7Wq3nD+TPG8DD8TJSJv/8zLG7f+X0kS9sTOIe9boHIoEU2giJQCCEQgiBlKTgBqUsWlk8Zah7gsVBnQ9/aTtffLTLS69e5Z2vXuXqC/vMTTdYWm3QGwYMhl4KbOXuoWAcSaJYEMduqbfpcqGkRWuo+dCoG2ZbEds2Dojpc+BUxF/cVePwiSbTQZ0br9Tcck2XB/Z3uP2+NjdfUmPnlgF/9iWBEgHtVsRqf4yxoATMtwd0ez4mrvOml57nw59psPtcjTfePCCMlrjryTmipMZNV27kjTd2uWRHhy8+MuCJEw0eP+KzfVYy2xY0AoHvuYtQChDCYiwYY4ni9GKNLOPIXcijEIYh9EaClbFguQdCj7juslXe+U2rvPTKhLl2nZVug06vTm8Q0B959IfFSjAYS4YjGKQXzmiUMAwNo7FlHIFFc26xywc/csfGMOZXvvWNL7Hnzi//0aaNs/9nAPyNP/g7fPo9AZ1TH/o+E0fv6p/bv0GLHvVagAgTnB4RZAQuUjYXQqKkRsoEpUS6PBs8ZQm0pa4FKyPFUmeGj9zZ5P6n+tx67SrvfM0q1+3uMJfUieOAwahGf+gxHGvCSBHFkjiRJEZgrHBZUGEJfEOjFhP4Ib435tTSmNsekhw86XPk5AzKBOze4nPFhYobLu+iggWePNRi23SDqy6CzfMrLHfbXL1NEhvL5x4MGA8k082Y19004m/uijh+tsVlF3ucWR3x9GGPHZtmuPbCBe55osdXnxaMQ5/LL5zl8h0Bl2/vcejMMgdPwYN7Gxw43KShBYGWNANLzQMpHTFY6y7WOIEwhjAR9MeC7kjQjSA0McaOeOElXd75TV1eenXCltmA0WiKpU6NXj+gP/IZDDX9kWIwUk6OjCTDsesbHY0T5/GPHbiHoWEUOkcnShRHT3f4Hx/68sZ79px919yMH9/83Z//wP0fvBshf+EfL8BXT/4609sHvL1mv/tlVzzzu9/x0iPTzaCJaTQYhcLpamERgpS1cWwtBUoJtFLpo0GrBE8LfG3wPUvgWRp+wnRN0Bt7rHRn+Njdbb70+IhNMwPe8YoOl+8YMRr2uepCy47NinHkkSRFml9gkdLg6YRj5yxHzgpWh4ZP3dPg1OIMNvSYqSm2zml2bdZctA2u2t3FyEXe8zdNlpenuPlyzVW7O3zxcYGIPTbOSJqNmEHkI60EK1HapzMSnFsWXGkbvOKGHvc+UmfrBp+br5rl//qWRf74Mz0e3NekP/JYWm1x4dY6l20ZcNOlPb7tZT1OLy/zqXsClgYBx854nDrl4ymBlG7VM9aSGIiMJYkNM3MR11w5YDyOuHzHmLe9YszGKcVsKyCKapxZqDEY+gzGbpUb5sDOtLZgNMatBOOEUWgYh4mTQJFNQQ6jSDCIBL3Y48ixLntP3bXh5/+F/t273rcxQrzvQ//ql/6Q3/lPP/yPD+A/9p//B9Pbv0fcf++7337u/NPvHfWebky1JONQEyfSARu3zOZaWzqpIKVESYlWAq3SRy3wdIKvBb5nqHmWemRphJapWsJMXTAIJb2wyZGTTX7tQ7NgYkQcc8M1Ay7cHBLHYKzBWpfEkUIglUB7PvuO++w5WKNZ07R8yYaGYH5OsnFWs3VesWtLwmW7VknEEv/9422OHZ/m5ks9Lr8gYRj3uO/JgOm6x9yUZboV0qg7KWSMpDNSLPctS52ETr/OS65a5aE9A/YeV0y3a9x05TQ/+KYlfu8T8MjBJv2hZbWnObfcZvOGBhtnRuyaG/Hv3z6g3ejwxBHYd0LieRalLEIYwLr/WYhjuGBzwq1XxySRRxQHWNtgFHqcXfQZjt2KNgpVLt+GoWA0FoxCx9rj0GVlx2PDODSMIpO+Z3PmHkaCYSToRYKVUNBPDHI84nNfODN96oR87+ZN/y7+7Z9d+chv/NivWW/DT/3jAfiP/tKfs2X7DvWd//bDb/1vH1z8QHf1WE3JFpfs7HL5zj7gAC2kQcogDSA9lLIoqVBKpXpb4mmnOX1PMfYk49AQhAnjyFKPDOPIEIaWdgzjyDCOIYwFo0gyTgKipMbeg00e3wuJtThoO23sSfCVq/loBXDVFmjXYaopmWkp5qY1G2dh5+YxW+ZXiewy//3jUxw6PMX1Fyku2i7ZvX2FLz8dc25pihsulMy0DTV/SCADrBLEiURYS5yErPRrnFvyuP7yOi+4tMc9j9TYNCNo1Fpcf6nhJ966xO9+wvD0qRarfcNqT7Gwotkw3WSmXWemPUW7ETHfjNh1fUjgxXg6RqkEKVwwYXEXVRQpzi9oolgRxYowUoyj9DGUjCPJOJSMQsk4FC5ADQXj0DIO3XEdhwlhmGr6yL0/Sll7FOGYOxSsRJL+OMaMB1x7QZcfeNMIkzzSuPKS8QfM4kWmO7r2492T707a23/8Gx/gv/Rbf86GdqAOnDj0tpNnlv/k3odXa4ndBvEIYyW/+EMdrtjeQ8kEqQxSWpTyUMq4R2nxlMXTCk9bvFDie8KdBE8w9hVh5IAeRZYwTpwrEpfuCcSJJUkMicHpbUMO7kwKaQmeB4EW1AJBI5A0G4qphmRmSrBxNmbX5gGt5iofvzfkridnWV1sc81Oxa4tHpfsGJGIVT73YIOmp5mfUbQaI548BM8c1ly9wzIYK669JOKa3ZazZxIWVnyGowavv7HHV54YcuCUolmXBH6bqy8y/OL3LXHn00P+5s4NLHUtuzYmrHQ0023FVNOj1fBo1i21wBD4hkAnaOWklkxbK63FJayMIDaSOBHEsSCKJWEsiCLJOHLOSxgJwsgShjCOEsLIEJaIYxyV7w7cwxTc3UjSiWAwjpBRn+svWOEXfmiJN784Jox8hqNDtcWF9p+GnPxnkdn60aPP/M/kgiu/9xsb4C3fyNVu5ztPnzz1+4cPnqi12016sSGOfP76Xk04VrztlT3e/uo+M+2EnjRomaQ62+lhT2u8SBNoxchzTDP2JKEvCCPhTk6kiGIII+kchLiw/eLEkCTOXUhs6pSkbknmzijpZI+vBYEvqQWSZl3QblimW4ZNs2PmZ3rEdpWPfEXyx5+ZY2OtxjU7BTu3eFyw1bBrywofv8+yvFzj8s2KmTa0GhHnjkrOrwT4F8I4EsxPSaan4cARy0rXcHaxxiUX1HjVDT1uu7vGXAsC30fJaa7eLfihN57Hk+f563tmeOZUjU3diI3TMVNNRauuaNQl9UAT+BB4oLVzmKQAKUogx13YiYEkEcQJKdAhSixhDFGUOFKIDGH2GJnUdsxcmdSCjJ0k6UeCbizpRYZwFDIVdPmO1y/x9lf0+aYbLJ1+i1EYMAprDAanarGaea/0mxrh/TmOZ74xAf7+P/0ESWK+76kHD//moUMn2vMNRS00eFLQlQFjqfjcgx73PV3nzMoS/+LbBsy0Y8ZBje6ghlY+nvbwtIcfJoSexg+dNAkjl0p3jCMcE6WsFMcQJZAkzkkwxgVcxtishzMFtwO4C1wFnnYAqQXQqBla9ZjpVsz89JANM6vcuzfkT2+vs+/INBdMeezeDNs3+2zfBJft7DKIuzywp01deczPKKZbMN0aMzMV4/saIdzFNRz7LHcjVgeWTj/m/IrPzs0tXnT5eW5/cMC+U20aQYSnfISYYvc2xT99zSIvvOw8f3p7iweemmapr9nYjpluxDRqknpNEXiCwJN4notVlCK1Dx3KLa6H1RhyoMeJSVe31FqMDXHiwB1HEMa2uEfOlRnFjlQGkaAbC3oxjEYxJh4yV+/y49++zL/7rj6NwKfTqzMKA8ZhwCj0GI59eoMTba+u//vMxqv9Zx791B9fef2bv/EAvrTcQSn1A3/w/o/9yoEjp+a0EgSAwTGLFoKu8BhKyepY85t/6bHn0ApvelmfV1zXY9OGkF63znAc4Hsxge8xDjWB7+y9DOBRJAljt+xGceppJ6TWHylzS4ylALdLUqbMDVq5hInvWWq+oV6LadViZtpjtmzocq4z4N2f8vjcQ7MsrzS5eF6wc6Ng20af7RsFF24dof1VPnyX5vCJJpduksy0JFPNBCnHnFqwBFoiBVgrCCPNro1dHiShO1CsdC3nlutcur3Gt72iw0e/6HP0XICnI4TwMLZJFEtuuHCFXd/V5XOPDPizz83y8NEm22YEG5oJzVpCzRcEnsD3XKyiFS5wliKvybC4i8xYnNOSOMBnII8TJ+kc2CFMXK1LmCWPYsEwhl4s6cUwDA3JYMz2DT1efv0Kb37ZgDfcaNCiwcpqjXHksqvj0J2/MHKtg/3Oybmp2V3vuuwFb1XjYed9Qf3vZ+LW3wvAl5ZX8X39f33ytrt+5YGHn94osXhaQBr4SCxSCjwp6EtJT9bohJoPf7nGnU/0uP7yLt/1mgFvvLnD3HTAcBQwHPsEnkcYe4SRzgOlOFZEiSSOJVEiiGNJkggSIwqtbQS5KrFZRtQli1SaLPI9Q+An1IOYVn3Mhuk+w2jIF5+0/MWXp3jgqWlmfI+rt1m2zEo2zflsnZds3xRy0bYVnjg65FNfmWdKaeanBO2moN2I6AwSPnNfjZbv3CFjYTjWvOnWMZ++39XEdPqG8yua7RtbvOXFfR7Y22PPAZ9mEKOkcCA3DUah0/r/9FUdLt1yng/f2eWrz0xzfKXO5rZgqmZp+IaaNvgeaCVQkjRB5r53Vn5kUqlmTLHCxSnQHUFAlAiiJAV2IhjFgkEs6Ce4mCcMadYHvOW1y3zna7rccGnCphmP4ahJt+8TRj7j0COM3DlzpKSIE4kxsHDm6Y3N9qZf2bH75WY07Ly/9vcA8r9TgK92OqyudlFKfO/tX/zKb9z2mS/OdVdXCXxFYkr2nwAZgxbgSwgk9KTHwFOc7Aacvr/B/U/2+eg1Pd72qiGvu3XE7LRPOA4Yx+6ARbEmSoEeJ+6gxYkkSQqAG5sytylqyjIbUklXx6G1wfcSAj+iHoS06kMShnzhEcmHvjTNU0emEFHABTOWLdOWDdOK+VmfzRskW+cjdm7ucmKhxx/8TZN4XGf7dsF0S9NuQrsRIbyQ7rDJdMsihMBaiGLJbKCITUwv8ukNEla6ilMLda68qMUP/5NV3vXnAccWmmgVpReGJo5rjELJ5rmAGy7ucs1FfZ4+doq/+HKd2x+e5nSnTjNQtHxoehZfWzwFWrp0vhDV6joDWOMuusQIEgtxIpx/ngjCxCWJholgmMAwtsRxjInGzNWGvP7Vq7zj1T1eenXEVN0jjJqsdALGkU8U6xTYiqgM7lg6QkoEw5UO/cfv3DgY69+44OKb46XF0//T95u02n93QP87BfhwOGRmpv3mBx54+Pe+cMcX29G4S7up06yaq2GORBH8aGnRiStm8pWhnggGymcQa86Pa/z1/U3uemrATXf0+b+/vccVO7tsnFa0G5ow8gljjzguQJ5kADcSYyXWOklg84AyTfUr64JYHRP4MZ4K6Q4jFroRv/PxGkfOz/DInmms8ZmrCzZusGyYEsy1FXPTHpvmJJvnYrbND5ibXuFzjxoefmaaa7YLZlqSVkPSbhia9RDhjQkCjVbu71sLSSIZjjXDUURsBL2hode3LHc9zi61ueWyPi+6cpUP31GjvqzQMnKAtJo48Qkj1+O5YbrGC3f3eeHFfR58+WmOLUj+9PZpzq82OLkU4CtJ0xP4mQyT7tjnRJ5JFRyTx1YQG4iMYJzAKIbQWEhiiCOkGrN1Zsg1u9z5uPGKhHZdE8dNOj0H7DgFtlthdSobHbijSFZW2yTRrPQGLNx319w49H7v0suvWxmNhp/6u8Tk3xnAjx45yOZNm9RHPvqRi/fu2d8eDbo0GzrXcipL2iQCFVtX65GATgSesvixpZYIGkowVIKBDhgmHkthndsfnuLeZ4Y0gzH/7A0dts/FXLB1yC1X9dDCtYgJ4eSKy0q6WmlrS8yNRUiLEs4zt8QgY54+Inlor+a2B1o8fbxFGDdoacV83TLbtMw0rPPB25rZKc3ctGDzbMzW+SFb5le466kx77ltI1umNfNtaDcV7aag1YipB2Pu3a8YhRqv6UBlrSCMJTWtuO7SIfc/Oe0Kn4YJq12PxdWAc4sz/PAbz3FycYn7H5vHk4CIMJADaBxK+kPNTKvGdLvJiy4d8PJrBnzXKxfYe8Lw6QdqPLC3zv7DTWKhGY8Vg0ih8tKHcuCZ5gSsITYWawyeSJjyQ2pEvOj6PhduGbF9Q8Q7Xzem7kuadY8wbNDp+elKqlPCUbnX7u5yzT1OpU8cO4OgN+xw3333tk+cOnfxm7/129WBAweTSy65+B8OwPfve4Zmc8p/8vGHv18S/2ans0Kt7hFFrvJPCtLyVpeO11KgYpxESCw6Bk8KPGMJEktNCRqJYGxglHgME49BUqPXS/iND89g44hN8yOu3Dlibirmba8asnNjSBSJVG9LKDE3qf6U0iCk4GN31nniUBOhNcdONzh1rkGtrpgKBNNNS7tmaNegVRdMNRTtlmKmpZmbhg3TMZvmRmzb2CWxq3zsK22G/SaXbLe0G4pWQ9KqG1q1GM8L+dz9NcYDibfRdYtmEqVZV7z+piF3P2rojyX9YUJ3oFntac4uNbjiwhZve2mXR55ucGy5hZIGiFK97BElinHkEjP9kabT92nVGzTrY67YPuLmy0acON/h6JlVtJfw+GHNR7/cQChXuMbk/EFrAAPWEoUJuzbFvONVQza0Ey7bZdk0B0nsMQ5bxLHHStcjjhRRotM4yAE6A3gmRaI1BoBIf0Za9eiY/Nz5JWY37PzNBx96eHDx7gv/eM/ePeEVl1/xDwPgx46d4OzZhUvPnj317kcfeVhKKfC1QmBy3e2ykxYtIU7ZPDYCHTudGCUWL3EaMNCWWuJkTWgsYSIYG8k4kYTGIzKw0G/z5ScMloRPPuBGNmBNes+yeKlFJrKKRIlUijjSSKPxtKQVwIXzlqZnaASGRgCNQNCsS1p1J4emWpKZNsxNxczPjNk63yNhhd/5qxr3PLmR3XMw00jZuyFp1WMa9ZBmY0i93iBQEiVTDY6TA1HkMRoKhuOE3li5rqWhcS1zTZ+T56Z4yZVjfuLt5/itj2qOrwYIYbA2wiSWKPYII8lo7MpYW0NNs+bTqNdoBA1qQUSrHnLDJSG+F3HjJTHvfPUAreI0CWQQwlZFeSrpjJEIIQk8BfiMxpqlFe3qdpIs5knvsSxioLRwrayzM4DHKbijRJQSTaSvXXHYgw89KLWn3m3i0VdGo9FTfxfY/N8G+Cc/+QmUp+sHDh5868GDB0RiBEoKrCItYJJpXYlzLOLYIpVFJaASpw3jBHTieh/jLKJP0qg+i+yNKF4bQWgksZUkRhOZgCS1vcq3PEuZ2pJagqegVrfUtKWmEgIPAg0131IPBHVf0qhLGjXtAN4UTLcMs+2YuekxG2f7bN24xHtuM/zZ7ZvYMa3Y0DK0m4pWQ9FsQKOe0KpHnFkyHDoTUPPdBQ1ZpZ9gFGou3GzYvGFEd+QzHNmUxSWrPU2rXqPVmOadrz7P4TNnee+ntqGlxmJITEJsLFGsGYeKYeiKogY1SWOkqQce9SCh03Mxhu8lLmHmJWjpGiWkTNLCNnd3pSuuhNOBXNAxaZWlcXFNkkiMkcSmiHfiRJQC/Ox56TEW6fsiB3OcgTxxdTJR7LDie4r9e58USTR66/YdFxz69G2fGn7zt/zveeT/2wBv1H2/s7L406sr53/amFBqnS19Is0SGoR0AE9MWsudCJJUnsQGdOL86iRLPhibvrb5e8XzolLOebkiD5TKmhtIg9nUd5cGLUlrWsBTAk9b5xtrQS2Q1HxJPVDUa4pWXdJqWKaaCdOtmNn2mA0zA3ZuWuKB/WM+fOdWZmoBm1qGdkM4cNclzZqhWYtpNcY8sA8e39vg4nmb6t4ibT4cK268zHLJziEPPjXNYGwZjhL6Q52C3KNRq1OvTfMdL1vm8f3nuX/PZrAKYxIXuMeWOLJ5PclwrGmMLPWaouYbAt8j8BMCbdA6wdMuO6yUSYvYXPUmwiIo9FwRnLsSYpM5UiazX0tWbAZs40BbvCYHdnZ3BJYydmpFZs+NsVgE3d5Injx19j9rv+E3m41fBsLnDeCj4UCOx6Of/9QnPvxvuqvn/EZN5ZG5ku4LJlI6cEvrDoiyqDSpkCiLNulz4xpoTUL+PMkybjbLvFlMmonLkhXWWkqZ98qKm7k1WUJHyTRjqSgVbbnsX+AraoGiHggadUGrbmk3EqaaMdOtMXNTQ7bOr3D/viE//yebOH5ymos2GKYb0K4rmnVFswbNWkK9FuF7IzojVyzmKRd/ZLfEOIaLYp92PWIQGwZpnfVglNAbSDp1RaMXUAtaXLA54he/v8N/+YDkvj2bsCiMNSSJIU5iwtgQRopRqBgGkvpYUfMlgW8JfEWgDZ7n/H6tbFrnk66qqUwRaTVnfktT+zYlEZvWsiQp4BNTPDoykumjKACePk9y1iZfnV0SriAyY1yzBtZy5OhJX/v1n3znO7/HGwwH/6lRb/yt0/l/a4APBl0SE/3yM0/e86+6K8drrYZMAyBRpIKlu2KVFMQqA7LFSAfuJAW3yZ4b4b5oytom92jBGuu6yNMS0PKdCYCnsjsNLJ1EcTXlThLptBXN05LAdwOAaoEbyVAPLM2aodVIaDciplohs+0hW+dXuX/vgP/yxxvYd3yWXbPOYWnVJc2GdOxdtzRqCY1aRJSEfPCOFlIpPGlRorAJjc2WcI9/+toVPv9wSC8MGKQA7w8Vvb6iE2hqfkDgtblsR8wv/fMlfu6PBV99ahPGShLj0upR7ArNxqFhXHPlrkEgqHmCwHeZTV/bPGOrlXEyURZlyTnAi5QnkJIILpfg3JY0kM8AnE4dMHlyLSW2fOUV+epcAXYOcFcfZFKQ2zT7vGffkdrnb7/zX7/x9a8WnU73Z6am/nbTs/7WAF9ZOIS15kWnjz1c9/UYKVXa9uW+YAZSlQJdGUEiBUmeHs7AncmP7Cq2eXYta79yQBeujiIDdXbgJz5X0buZ1plIimKqtI7cAVziedLVb/iCWuBmnjSChGbdgbvdDJluD5mf7vDA3gE///5Znj62ge0zgrlmSZrUNM2aq1+p12LqQYjnjTm1NIOnBEqavMc0CzKTRBLHii0zljiO6Ea1tFPGMBwl9EaS+kBR8z18r4anp7h8e8wv/V8L/Mc/gvuf2UhipAN4YoniJGVywzgw1ELJyFe5BPM88HTqXCnpcgEydbcETkaK4hiWScPaNBNsUlbP5GGaHMqyxUlSet8UkjMpAduY4nznODAZHtz5jhPDOBzx5bsfrO/YuetFUv7td5z4WwH80DO3gRk3Thy4zddilUZNEMaGWKaBg7TFl0wEiUxPqspeO6ZONPmXrAI7kyHF0mUzOZI9f5bPJkVRRCUlSClycCsp00aJTJ5AzYPAN9Rrlnrg9HOjHtFuhEw3h2yY6fDwgRE/974Znjw2z9ZpxXzTMFUXtGqSRk3RqAvqNXdxuFR/yP17BP2RT02RXmRpG54tAs0o1jRriluu6vHA020GkZMpw3HCYKjoBYrAV/ien+rnaa7YYfjVHzzPT/0hfHXPRiIjiYxJm6WLHsyxLwl849jbK+rotcrupDKlkHFZN9V6IM+kp80AngI+yZ0X1l15TUmCFEC26c/LQIfEmFTOuMrG46dX+f33/7X/z77nDY0/+dBtg3/23d/y9w/w3sphmtM7pvc99rE/CMPxy6SICDzPjXIo6d18eVLph0+XLcfYxVVulFiftUuANjmwi6ZgUu2dnwzhCoqETMGdFhmpHOCg0opBT4Pv4TqB/LTAKkiop/KiVR8z1Roy0+ry2MExP/e+GR4/upHN05r5hmGqDs2aoFlXNOqKRs7eCbUgptUYcdfjPqudGjMzRZo8A4xJtWmUKDbOKV79gj53PWRcF01oSiCX1DxJzdN42kfrOlIarthh+ZUfPM9P/aHlq/s2EhlNlFYAurJXx+RBJPPqQl9LtE6LsKRA6ezYkH++7CLMpIrIqtIoEkKTd1N6NKb0mK+8VXCXKzuTydd5HYwlTGAcJgyGw5c9tefIH/3oP3/7j9y09+jq1Zdf8PcL8JXls3Q7Sz/VWT7ynYP+ElIGaG2xmFQSCGJZqjvOnA9VChpLOj2TH0kuQ8jZuxJITjJ3ivQsI5drb5lV0BW6O6sY1ApXn6Etnucai2u+oeYn1GsxjVpEszam1RgxO9Xhkf1jfvoPN/DY4U1snPbY2EiYatgU3Cl71yT1wLF/LYhpBCGxGdMLA4SSeBmD5xpcpOyV+sWRR9MfuXKBsMZMBvJRwsB3DB740tXE62wDWsvVF1je9SPn+A+/b/jq3k1ERjNOBGFiUhYX1CJD4Fl8z/Wu6jTu0MqVCCsp0+OTduVnj6XCrPzCLMc6E+DOSahETGVw53GVLZ4XsVYG9MIty9wVIQXnzi/xzN6j3/nV+x89NA6j//j3yuD91eM0prbteuCu91+zunwOITQSF7S4nkZJkmYsC0spCxxFDu6kVJOcjUazWTBpi0CsYIoiK2nLa2bG2uWgMltu0w4dlQZTWqedQWkRUlY9WPOSVDdH1GtjZtoDppo97t8T8zPv2cCjhzcxP6WZrydM1SytFNz1mrMTM3DXg4SaH9Nuhuw5arnzkSa+lHjKpEFc4VFky3eUKGKjecUNERdf1OfQ8TrzDYo+x3HCYJSysFZo7eUJMyEsV+2CX/2hRf7jHxq+8vQ8o6jukmGxpZHWcAceDuQ6W71M3tsqVZKvcEqKEsBFCeSs0SsFyG0V4HmFYrHyrrcyF+xOCdwlAkyK9z2tOHnyDHd+5aFrfvrf/9CufYdOHrts9/a/e4AvnD9LLKYuOHLgwd+Ox8tvNvEApRQ29VAFbhKVNDKVKJaKnWQtJsnkiFizpGX+sM097QmXZI1bkjL3JLiFRaqi9kXJdH5Kyty+NnieIfAMgR9T82NqQUijNmZ2asBKb8DdT8GvfmgzTxzcwIYU3NN1S6suaNZE7pU758U49vYdwOvBmDBJGA1r1JS7yKQQlUq+LJHiAk3ttLweMw4tw0iUAG7w/QTf03iedFMFpJcDHAHXXij41R9Z4Tf+POare+c43WkzakqmE0srttTSiQOBZ1PvP3NSbM7emVTJAJ5/3vRDl3GeK8T0pGSragHuqqR01ZwlsFeAXgA5s4NzuZL+O4Sg2xtw9vzKm++866vJK259wb8+ffr00a1bt/7dAry7egzPq9+8cGbvW5cXDlCvu1Q8wn0QaYVzSiaAbcpWkhK5JHGgFunSliVsqlKkDPDsEJdVYXYS3LgHSjUvKbjz4UCuLNbTJh0zkeTgDvwU3LN9FlaG/MoHG3zqvnkW+zPMT0nmaym4a053N9LAsh5IGoFNGdxp71oQAiFfesxnJfKZC6jUYyOqK1SSuOaHdqB51fUD7t8X0osCpvKOdYM/drXqvnYA18o1ZAvpEjRYuHyH5Lf+7y6fvn/IL79/EycXZxhOa6Z9QSs2NGIIIjd62VduoJGXBZpS5EFw9lgO1MsXphB5r0h+fmBCQpaBXYqfTAn85TxGkd+oBqjZ77glWvHEUwe4aOemt063mx/s94dH/04ZPIr6aN245Ozxu/9l2HuUZsOidVL6oqVEgBE5gB1zy1ye2LLWzkGdSRBb2FCTrF2WJemBzpglSzdnLoDKAK6sK8fVWW+n6+/0vQTfi6n5EYEf0aoP0XrAXY8n/NFn2tx2z0ZC02ZjW7Ch5mSJswAzn1yld5Eyd5m9I7Qec+8z0wxCzZZG9nkmGTwLsl0pac1TvOiKIbFxAB9GwnWtZ53rY+OCQ53OhkntPZEm1y2CDdOC73xln1Zwmvd/Zsjdz8xxNqozqEnasaWprQO5TuMQZdO4xKYgz46hKGrHJUgKFp/cUTCXKtmICpjQ5uXuoaL2PGP0ZJ3gtByLZUTn3CfF7Xc/xaWXXfovv/WNL3m02xscaH8dI+G+JsCj4QGWT/4NXjC9Nerve3nTP4PxahgroATQLKWrbMHcxpQlScHeFTmSfRnSZEIF2CXroWxf5cOBSvMK02SKlNloN5PWfKfgVq4WI/AifD+i5oU0GiN8f8CHbtf82v/cyKGFWbygxuaWYDZIaAeWZgDNtMO+HrhsZy1NCLn6lSRdCZw8Wewm9EMfXyl8afMAk9JXyS7srHYjjD3q3ojN00NWBy2GkUjHrblYwfOS1OZTqd2pHMArgaurfHzzS/vceOUCv/qnI/7sc/Msx00GgUfTk7S1q8EJNPiKvBlCZ0mffA6NyLPAIp9XQ0mulMVKGehUgGkqrF7W5hP3ktmQA710sTi9rzl7vMvt9+x9+Uo/2bqw1Dnw8DPHeeGVO/83GdwmzG9/xQWjzmPv6Y0eoFmPiU3o+hxzEBf1CraUzrW2KlGsKeobbH5hZAdElCSJmJAmGbhtwSZp9k2WAS4tSrrREwVzJynIY3ztJEngjwm8IUfPxbz3000+8ZU5Dp+bod3wmK3BTJDQCmyaes/ALVNwyzwpVEu1d+C7C6fdHPPxezUHjtWppRO48nYxCpTnYxys0+FRrLl8F3zLjT3+6LNz9Buadjp7JAjTuEEZtJbp2DpKIPdK58qtCjs3SH7mewZcc+FJ/vC2WQ6fnWI5rjPwNE0laKRA96VrJfRSlylf/UqWrxDppjBZX6eArCyrWFNLK21WOpH75mstxbyLyJZX8Yy9q2DPWD42goHx+ORX9nH9DVe859vf9OI3nF/qfk2p8pwAt3YI1DD9O7aL8L7dgTqDqLWIY4iz6rJMglRALfNxaIVLInJAZ79ny+xtRc4CBStktG0rOjADtnvMRik7cDvXJGPvBE/HrnNHxwTBGF+P6SUh7/6Iz/s/vZlTS9MYVWd2SjHrW6Z8QyNl7kaevpdpnUoqTVLvPAe377KX4yjkwMmAfhgwE6QuTpZ0ylyJnJFKNSmRpt3UXLg9RAUjemGLoS+oR5ZxBnCdpIka5XxsmZUArxe8KuanBvzwmwe89RVnef+nu7z3Y3MsDpsMdY2aVjS0oK4sQWwdm0snVbQsyhuyLOcaJmcduTLpsACVWCoDb4nIMgAX4C6B2riygDj92dgI+olkfHqF2+9+bHfNE9u/55/cenS5EzI75f/tAJ6EJ0DNzCP1R1R4h1eraUQ4djIgUSRK5mAuM7ixpgr4TKPbCWCnX6hgbIFd95PYkh1oc2BX5IlMq+RU4gCuE7RK8L2Imh/ieyGdUci9T0g+dHubj31ljlHSwvd95nzBtG9o+pZGYGn4BbhrgSQIJEEqTVxiKHUmUoD7nst8HjljufvhBmHkETTtmgAzuxXpbEcGYaTwPM2rb+zx4S/02XeyybDmRjOMPYsfgxcZvNCglHS+tXS2bD7ch+J4JkYSG0kj0GyaHvIfvmPAFTvH/NntLR7aM8XCsMlI+XiepqYFdQlBNmAps1eldfkEQQnk1ZqVyeKsMqNnBDXpiGWvy0yda3FbvE5S1o6sA/fIQJwkIBL+6jP3eu94400fOXlu5QULy92FvzWDL3Z2ypOnHr95/77PTm1txtx8eQKeQIqEWKUF8EahTNoilj5m8qWQI1VZkt8zYKcSpczglcIf16PjmDxPKZu83NPpbotWiQO4SnI5onVEpx9xz1OCP/lsm9sfmWK500LWa7TqimnP0vYNDc/S8C11n5S1HXPXA0nNV9R8Qc0nrdAzKbgNgef0t9Jj9p+EU52aS6yk+raaOCnqZ1wfpAN5bCRhqNnUFlyyY8iTx2MGkcc4nfHthzjwqWyybpaoATnRmZNdPJkNGSWuPvwdrx7yuptW+OKjPT7wuTYP7Wmz1GvQkT59X+MrgS8FgXSN4Fq6XeqUKC5SJdKy33UYfE39yiSTlwjNUAo8rSAhTfLYlLUNRBYi6wCeGINNEjAh2gy49tIux458auoFu99883WXv+CzPMfwoOcE+NETJ4PT573f/xe/OWxeuWWGP/m5JXZuHCFGPjIxJNIB3BqZzh4pAF4Gd+W5yXRoCeClA1LhhYo0sZUCfSdLTKq5DUombiB+5mbIiIVezF0Paz5zT4tP3T3F+W4TUavhtTzaGqY818lT90hlB9R9kd5lWnKa6m5fEGTsnQFcx/h+TM0PsTbiS48EHDtTZ8OswJNZq54oGn1LbFd2nZJEMRx77NokePX1Az5xX0g/8hhGgprn+lX9dLJUsUqp3K92c9QpjqsVri81a1Qwzm+vB2Pe8coh33TjEp/8So9P39PgridanO80GAqfoa/RnkILN9LDkxJP2FRqWRSiJA2r9uE6ZF5xwQrmFnkAmpQYO87vqSyxbjCqK3iJwUYwDtm+ecCv/tgSN1/2VFPNven3h51jVwDDvxXA73v8YRaXBnROrHAu8VnqCy7cHqIjEMKgrMKYtNG3BPC86deIfA/LDOSVkwCud3KdmsBKQFkCthAmtQMNIgW41gm+jqjVIkbjhH2n4OhpxV/cMcVnH2pzfqUJXg3d9mgoScuztLSh7lnqHtQ8B+6a52YSujJTWbqL9Oc2BbnJQe57rj3t0GnDk0cC8Lx0mbelFL2ooKAchLl6aUGcuHHOV1845srtffaeajCsCRqxIIgsY0Vq7ZmUvTM3JbMgC62S++ypFWmMSqcPeIxCj3p9zPe9fsybblnl8w/3+csvNDh6usbeUw3C1YA40Iy0Rio31VcBOn3MmDyXLhTB/5pb7qYUoDaUZAnkcsRYSLBu0m8m2m3sqrVsCvAoZr4Vsm1HTK1+nnNLT0w3Nn7Pdy937R/Nttf7AM8B8Gh4RETh4F/eccdvbviBbztDZ+TsPuEZau0xJoyJQu1YIt2M1eTjGiaBLUsBpUhBTelxAt5ZpJ5rPpfUcJLEpLs8JASBm6QaJwlnl+COL2sOnaxz5wN1Tq3UOXS6CUGAamhqWtHUlqY2zkXw3OD8mufGtTkQZ3eZ3lUKcFLNnYLbSwg8x97uwgo5sgB7jjbwZNUezCUKRT147ihkTopJ+xpjjyt3Dblk44CnDscMYo9WJBhr8GM3E1CVAC6lQEhZYXKYtN9EHsxmfZRR4jH2fNr1kH/62jEvvabLqZUuX3rQ5/CJgM8/0uD0Uo1k6GGkJvIVQsp0axnXlS9JM56Qy5b1QF4JNClnqTO3JX03B7UBm7g7iQN4aFxfm0kQ0vDA4x5fHCj2nd0//WP/tPcTvh+9fy2KvgbAl059EYi+88VXnGm+9PplvvhAwK9/sMmrbvS48qKIbdMJF18wxrcCE0mMVSlbyBKoZUmKpMAusXjG1tVPZksRe8HauRRRCV6QECWWwycETx5W3PFAg6eO+DxzpE537Obg4fmotkegBA0FDW2ol3zgQGd1GlnZrKsLD1JZ4vsK35fpBWAL7e0lLrPoOZ1f8yOsCTm3LBnbAK0lvrToks02QeA5yJOS45SkfrhAMz8bItWIfuQx0MI5HVFRMKaVqWQgpShFsdmwI4qYKGstywYjeYnKx08Mxj6bZ0J2boq44aIxw3DIPzvS4amjPnfcX+PJIzUOH68RxQoChZUKhCSRpWxQnqRYR6tUxHnmA2ePpvQ4cTcJRAaNZfcFY7bORly5O+JVN4Z86PMNvnRfG1HvYMXt+PrZN+xeF+D/9b2f4ZMPLKrXXXGPqOsup88q3vOJBp+/r84X7mswHRh2bo+5+vKQ19445lXXhWBjPM9Sb5LqbAlGEEcO6FkgWWHw8iVvHaBJ55d42oJw/ZxRaBmMHKMfPSn589sDBpHisWdqHDwRsNj3GSc+aB+Uh2orfCmoK2goS03hxpmptPBIOdb2PeGSHmVwexI/lSWBD4FP6pq4lLmnDb4XpxnRiHot5PxKwh1fbdHpBcxMCXTqxWdFX+LZmM2UAkIjGY8VG+YUr7tlxOcfGnK802ToSSdTNHixxYsyzzr12GXi7ELKs05k/jeM1ZWSiSSR+Iki0YrYc2MfoshzVqoX0fQjXnp1zIuuGPOWl4/Yf0Ly+B6PYaj4szsaHDnrgZAMhpokVFn5JlZnAJ+wjMrp2wrAAWsQiUWYTJoY6s0EzzMIa3jV9WNee+OYqy4L2bU9ZjqwzDQt7bph3xGfU50Ojz7zpPhv//oS9YsLH47r89/59TK45Vx37t3f8V+4ttNtM441x077JFKyOBAs9i1Hli1ffdLwkTsS5mdjrLFcf2nIO14zynvt5qcM110d0qylhTNW5Dmwtedc5MN5OgPB409olrqSek3ywB6Pv/lKjVGkGEWKM2d9jNBE1sMID7RGBBotJb4S1KSllgI7UJZAWVcDrlPPVxfM7Wd9mTm4VdqjKXL29j2D72cFWknO3r4foVTIlx9VfOK+FsrXzm6r6O9nZ/DMC0+SzPFQjEYeb7p1yKfu7fJnX5qiH9dopjrcy3R4lCVlbN4tJITMAeb+lCxp/XJ1ZzraQTsm97Qi1hodJw7oKkEpN0h/phZz62Uxt1wWYcWYt71ywChy49z++isBD+7xqQeCxa7i8ad8ugOZqiTBs4ryfOcJ1xp43XURG6YT1/SQWN7xmiHXXRJhDczPGmanLRqXaDJGQgKvuynik+9aYDBepNnoX7v9ghe8G+y6+6KsAfi5pVU2zk61f+o3PnTZ0RNWnV2dxqXOypkKp/HG1nCuYzi36paZ/ccb/M2X3ZVoE8vUjOHma0NadVcHvG56snypp67Dal/x0JM+3Y5CaulmoljtmElo93mkBqmRUuJJ4cAsLYE0+NIBwVfgq2JGnwO5KBoetGsEyBqPy+B2DJ+W1XoZgyele0ygI6wNObXoE45rBFMSP017q7Qqr5LFzDp6gLJ1mnenG0UYecy0FDs2hPhixDAOGMaCunZDMLMakiyhpWS5vFXmf8v9jSzZZorsqTFp80khjeI4SfMGKp3LHhPFCSpyuQStEqSM2b7BpCuG4YqdI0I7RGpDpyN46EnN6sBVkk4K8jUWQlqM1awZXnRtxNSMwcZuZa+nUHOfXWFiSZiaFfm/F5ZdG92gIiEHSsrFy+Tsj7dN/Mau1DPPDfBDJxY4cXblXV994vgrz/YN1NrrXI22uOeDdiyxNXSyJUgZuquWM19ulr7iegAv67f05AiBybZcIK05FaoIcqRMrawM1GnaWZJu3Jr5xqVHnXbSK9Kt98jB7dq6FH4Kbl+Tl5g6Bk9ZXBv8NDvqeRFBEHFi0fCnn2+C9vGkKALMXJ6INQxe9oezIaEObG6wThh5vPN1Qz5515BnzrXoJx6N2G1K66oAbdGJo7KcQDnYy0oXMykkSwVe2d3ktTBaK7zEzUvxUqArWSTNXN14+lyYdHBQghYWYRM2NAzf/BIDIkllJiCy/TPWOed5jZEAo0giTTaPJY4kEVWTIs+RTIwFcfFZhJb7Xxk0Dr4LG/3Y12Tw3/nAHSgl/cPHVxB+EynlGngWQ+TLmspMvLagLIlX/t318J2xWwbwavAipMxb0JQAT7i0ciBctaAn3WstSWsq0u7xrJBIU5qDQrozW9FVXwBc5rIl8G3e0ub7pjQ4J8ZL2dvXEVKGHDsrWOjWEFoTSCryRJa/Vul0l6VDBXip0xHGHnPtMbs2D9l7dsww0YwSCBKBl1i8ONXhMbmzVKTQVaVTIYvtnIWbNRWIkjQy6MSQKInS2fblKi1Wc9vKKFnchTSoFOQi+9u4KVlC2tz1yoCeOWDrAbxI7pUfC1OibFDY0gVbMSasQcYLxPaj/nr5njUAP3L4tIvKozGzgfsP5/4lqWeZvpedqDLobUWGfC1ZQtqVUyqsFwJJkSJ2U6nAExZPpKBNJUD2PH8vJfuiFJS8wdZXwoG9Am7pHv0M6FnwmYI76/7RJpconnb61PcjYiI+fW+dcwt1vCmFX67hKDsoTKyB5dR1qfoyS/qMxm6C7Rtf3OfeJ0Z04xoDranHhjBNpytZFERlBWdCGIrOoSzQzKo2M+swnaliIVHub2ojiJVAJzLdxc7V8sQp0ItkmskTbFKaUuItfS7L4E5t3nyvmGc5/6VCO6iydRn45dxJJRtuwY5hEJ5mPQatAPw9H7yddqv+kj/7+F03nj8X4/m2OBhpQ4JJ6wuS9I8lE2Z+9iG+1qSWXJBkyQIBKnsULrDIrDaVpozdfJNC42azDlU20DOVJ2Vg53NQFK4fcT2AZwFnprt1JktsqrerteS+F+F7IWc7hkcO1kH7bgS0tHl6PmdwqiyeMVfhA5f7UmXuiUeRx/UXj5mbHtJZaTCIFQ0FXuy+i0rcACUVlQHuEnBFhYOcqNQUad9kWjukDIkReEaQKEmiDIkSxCnIy8VrWTmEzEBeAnW+vykmBTlpSXOWiS6SdpVijEr9ylo2r4CZTJcXRWXWylzi1VTrxg3bXvOSheOvu2d+5z9ZH+DChkRj+81NL7kuIKTm63weYA7uNEAwlNuV0iqxEqObda4nkdonZTMpu8qzrFgBDpsz+GQJp85qI9Ia8KzU0zUXZ50qTpaovHulAHbWfOvYO9XcmlxvZ5agY+wC3F5enRghiLjtKwH3PtVCBhpfCjd/WxbxeDGfpVxHXZzUvI4+Z3EXaCZGMRx53HLVkG95aY/33tYiTAL6iaSWWMYx6cpVrvozqZwzExfUszE5GC2LDqwU3ImSKGUco0uZjpYwpVLkcg2QLUBeyTZnTJ4t0iWZKtaSeVlbFzUsaTxmJhg8r0gt5Q8iQ4x3XW0QfrNN7D3rMvipU6eYajdf98nbvvg94WCRqYZwI26NReXNwTYvlCkK27OKwEyiVFafNSPVynM3MnBnAJAlUEiKmofyaIOMud0WJNlrUgYnb8OqsHjaDeOpKrjdOIUJ5k57Nv20vc3TWcNBXLpHhET85ZfaJDZA5dnLcoBZ9DVmzkZFgzPRrmekmw6VZMGmRuDxjlcN+OCnx6yaiGFSY5gIvJicxaW0yFjkRWfOLpxcP2VxvjKAZNpfp6MbVApybVHGyRU3Zs9VMLrsscxLkwuLslzdWZQx500pOdALqbIW4NW1vQLynESLQDkr7HNzDhWjsWRhtcdYRd9zxbWvuvPcuTOf37RpSxXg43HEQIcXd7v93b1ej8DzHOUmTg8bYYshLxSp16zA/dkmTU3ehCgxeUme5ECfKM/MtfiE5sxAX57toZQotHhacVcZdpMCWytROCm5Heg67l1jsk2ZuwgwdYm9Ay/kkYOSA6drWOWhpMSXBj1Zp1ES4JMuSnYvt/cVfrUDeRR77N4aceVFfe7bXydSPsNYUJPgJRYdi1S+pV04carDkU4uVP6kKLG4KEmjYpRHNhNSK5PPkFSp9CvAndUC2bRMIGNy8tVDlMCNyCZmrc/e690qlaUlPV6WJ8bKdLaMJEk0w+GAOBzsNsn4Ymujz69h8KMnl2k0hpw6N2A4Bu2lfmQ619oIkKlBb0raqcrY4jk/ds7cZSafBHoJ3Cqv+S5st0KyCNc9LwpwuyBT5N3iOge3rAC8PPzHdduTAzvPVubMneBrl9hxXUERloiPfqnB0lIdEWjnu5cvwskalIKcKhZh1lhbruPOvWnj9rbZMCt5+6t7PHKwzTipMVA+9cRp8aycVUlScGdrhUk98XI0VMom50CxpQusPMdGokwx0z17LvNt1VMNLrP9jjJpIovmiEkGn2haKdJ9awvtKpiyVUavdImlss4CzXpCq95BJOdQZpT/+xzg7/vTTyKlZHmlg1JuSqyQaeBnLUZUG0HXG3z5tfg78/8LeTLxWAZ0mcUr48UKxpZlBleixOKZXJEoXQW4r9MBQF62dWCa4dQWL0/Fm/R5Urlr5Tp3njkGH7m9xVj6KKnS7GX1QpzMYK6XSSADekWHp1o8UcSJJkg0b3/tiD/57IAnDteJlMdASvzEpO6RQCa2dJysay8T5fXUpH+rum9RmckTAzq3EN1oa5WWBKjEFsM687ksIr+g4wk97s5nuViOEpNnIH9urFR0uYWyg1L0GrjPDqCUZPncPoa9sy7tXwa4tXuByxq/+3u/d+G9DyzRl+4/lmddsw9UysJlf/jZoD15QoWYfL5Wez+7RBE5cCbHIcsSY2dBZja1Setsk9dUe6sJcGfpey9rTDZuZkjeIpb1dMbpPUJ5IQdOaXqhD0qn8sROlMdOXrjVA1IdaDThhafdOEXiR9P0BJdtG/HEgZDEBAyNTy1xNds61eBKuI1cXWIpY0uTnUUKJi+SKFmHu84Hm7r3soGp2pB2EFmkKSYEZNO1kqy7PzcAiuAyDzwnzneGljUNE1nuZx0WqGrxwkbMGibABZ3LHYGINl54xWt+uHH3w983eNkLL3QAP3P2DNPtlddu3dH6qXOfG2KNzLdwkZKsz3RtoscWSamy5TMZUOaAF9WfCdwqUQZCAeyij1GVWFFVhmpmIKeokVYlUOfP0ySPIvXCHbgdgIuhQF5ZnpTZW6V9nX7Ics/w//5Vi6VhDRF4Tp5IW1lVisE5z605K9METMFOxsg8dR/HmnZD8+Pf1uOLj7RZGvuEUjOUEj/toSxGPqQMXq6nFyYvo7WYFNwGi6TqrIiUwW0epGdgV1KkDO4kUZK7KOQypdDhRTthIVOywLOwCivHprTKrQ/w4nhVAF/6Za2hxiqyVfup03sevccmw0/mDP6Z2w/RrHvc98gpOv2YdiOouBtlENuJP/6ctzKgy68n2K3Q4KIAuZyUKNXBNDmwpUCqYvyYKoFaS4lOJYnOAZ5pbpMHlZ42Obg9ndVfVNnbUxG+H/IXX/J4+lAdpIeUkiArjS1Zm/ke8emXfNZqQgo2L0YmFCCPjUw3efK4eveAN7+0y598tobRAUPpE0iRJ32UFPkWjQ5AVSYXZSafSJjkUkWBsm5VMFY4cGdTwgwk+fwUUQC89OjALdKMZiFPcmelRGxUAP/1354tb6gkBF6EtCeQYx+s2xhCAwyGLawNMEmdQIuJK2+dK+xrWiUF65cdBFfS6b7c5ECZimecB5aiYPOcIb8WwGUB8DzRkwHcujnZqRTxVOGWeKXhQIXmduztaTe1aqVj+Osvt1jsBFBL3ZPSBlvPJlHIakQmmWk92y7vaZWYJHNTNDNtxT955YBP3TtiqR8QKs0wkak9KVL3RhTN2LJgywzYecGSBZOzedEbqTNnRaXP07HXRrrR19lxL4NcpDvn5VIylSdudS7rcTEhV0QV4MIi7HPAXRTHrCDMIpA1FkysmfZbzMxMkSRjB/AvPrCfTfMzF3z2iw/+xKP7ziCVWquLWZ+Fnu1z2JJ7YJk42SWgV+9ifYmSJU4qwK7O/i53uLjh7lTBne1skDG3KjH3GgbPxk0UIye0cpnLI0cF+4/VMAQIqfPm3KJ6sBw/iJKrUXz5ci1KDvKSO1AMj5dFu1miwWou3xWye8uIpb11bOI7Fk+cTNElF6dgz3KhV1YvJAs716Zsbguf3MgieCvHNsq4i8ZIUu2dnZeCjHJwG5HOUsk0uZiQKmICDzZ/MaF4K+9VcJYe2Pz7WovSCm0PsWl+x0/Mbn/RY/Hg8aPaJAnheLx5HCav239siYs3BaVl59m1pPhaF9uE3p58zGeFUAV5VZ6IkjMhSsFmAWjH4KSjgMs+ePmebmmtyuAugTzdr95LS0Mz9lbpa60jlIr49H0tDizWwS/kiVeyLisXLGvHRUzeqmPOSpm68u5mWRltqLloQ8gbbxnw4DMNMB5x4rS4l6TZ3aQqlQrmLFtyKcitrWQG8+cyfS7TVUVmd3fsk3TFkCJldZOtsDYnpiLhU36eMa4o4SOTLaKCm2cDtWP5EraEwKbjLYQwLjMtTqNV+DobhputTY7quoZAwVRNMNdwTJf5yflJKwP6uT7AxM+zD7FGd0+AOns9eVFlgBbrADtncyVKTbglcKfzCYttO1gLbF0MCMpHvGmTgjx28kRF1Bsh9+1TfPLLTYYjHxoaLQWeqEqTyc/P5LGbBDgT+nvCMiz74lGsmWpp3vKKEZ+9d8AD+3xs02OYBPiC/EJT+d8vdHBpLc1BXs5ZuOAzvcCUY/NEOj1uSqydBfUmDS6lESX9LUqBbjWGEiVAlgcIFUV2E/sDlZ9Wjt3ExSFIP4PFWufBr/Ya9AZ1vJYmjny0J2KUjWj5CZumXNNtOWNYfLjy3yv+qhBV52SS4cv/vvzFJuWJXOd5LkVEAWqpSrs3KJHWphTgLkCelc1atC5GKOt0EyatqkD3crZ2d6VcgOn7IVGY8NmvNnjmeAM8DyFVCqp0bkgpuBSyelLLq1h+jMqsndX0VEbgZdv2ydwTTxJNGGqu2Bnz+hf3efxonXHsk0iPoVH4CROfJfPCmWBw92gnPgsqu9gMRrkZk9aClW7PU2kLPZ6vqBKkKc0yNMWqIScBPhmXMAH8Z8l0rrETS/+XB7FS5Lv49QcN5joav20Jx6A//ZnP4GnF0nKXmbaX/gdF5UOscyGt93Qdr3vt+N31mLsK6oyxywFmsQNBIU1KVmHO2BnAi8mpuURJmdsxts2ZWuePxXMvDS61igj8kKeOCT5/b4PB0IemhxRZ5SAle3CdLGbpe5aPVlaLkvms1UHyEwmfUgFWGHm0WiGvv3XMp+4a8fjhALTPyEj8VIsr4zbYLUsDkZDLA5KJDKIqnBytKKSLdGyerSpZkG+sA7s0RaJNGNbKWlMw+2SOYw3AJ0D/bAw++V5+sSSFzImTGk88/iTP7DmKtTH65KkFhBBEUUTgibWXzJq/I9Z7WAvwjLXzDy4qV/C6LC5LYC9r7hzkTm+Xs5lKpRWGaUWha+dKn+vyfPAJcKd3L5tCmxb4axW7u47wvIjYJtx2T527n6pDTYN0Dc1eqYS3UhpbvpdfrHOrzNQmK2clb0ZOrMgnFWRAH488Xn71gDe+ZMDTx2rEsYcViqHQeAn5ZxJJweLFR1ifyctD7JXKmNuxuXstkEbkOjz3+zNGz1bblMHzoZ0T4K4EnBWQW8o7YIivAep12TV9wyQWRAdrhlhr0b4vyZpWk1jmkuPr6FN4lvfEGsYunrsXsgzwUltXeWeBCrArUqWcpi/d1QS4Vemui01QM0B7JVBnzolzTNyjUhG+F/HYUclHvtQCfJAeQqi8i0ilG6mWs65lR6gQdGICYFSK0wrmLmlwK9yOGCod/ZDvE6+xVvOOVw2546sjHjrkJglERjFIRFrwlYIuyYBTqgMpLi/ArR4oKkDPfqpS0BuZ7ueTBcWZ9pYpmwv3mJ9DUxrYKUsXf8W0KCRJcbyeLdB8Ns+8tCKmGU5jASnTRJZFN2pucMxYSkxcrtqyfF2p+IkPUzC3KF2h6XuUpqxO6O5Cqog0WVBYTxnA8zl5ZZCnrWnFZlNuZ4diAH4B7gprlx6zxtpMqigV43kxURJz5wN1njxYB88D6YJLX9jS5NhyYCXWBFZi7REr2XQZ0EXJ1aCqxdNWNqNSRyXRjEOPq3aPePnNjsWHiWPxsfAZGdCJKAK/JLMLHUgKieI+QLmeqGxdKglWWbdzh8VlP61AWIEVIK0opEopqCzYOz2vpnzhl+a6r5MHcUdpHTBPsGlJYBXxDNmGtBAZiVIpwLVyjbyOyWRRp1za+CkviX02kE/45GUzP/8ipS+W21cTjkl1j5iJ+hNBvvdOvntx1nxbaXgoti5RagLcpaH4uXuiEpQuATyVKL6OOHBG8IHPthhHHjS8VJ6Qt6ap8i7B+YVbrGQVvTJ5s1Wgl2VKeXMAY9fT4ppmIPne1w+47e4m+065iy8xikGiXJVhkiZ/EE5/J6JwK0oric2AXgK4tIUWl6lGl8ZipTtHVgoHcFOKlTImN+VYap2VrQToskdfJsFqAmh93FXzCMWuIUli8VL8WAvqD3//tzfV6/6vnzx58nJrC42UM2lJLpQZVpWe5/KhIikm9qqc/Fn2vszGAaeP6XjgHLgT92xkQtnjzh91obudg1IFd3mvnqKYKt39QUd5M4OnQxIZ8id/0+CDn5+GIABVQylNQ1nqyqbjKMgbnL1Sa1yRSS0noiTFZFgqAWoRSxS2Y3bRCkna+Fv0QippEdawY3PIqUXJw0/6xMJNHjBCIYQrpV0v7qmyoyj3IRSvbUnU2KL2qJAvpW4uyhdntbNr3Xv535TcpHwKMaXyAcqjtstlDRPBuC12Vo4Tt0vdRRdfs/mqa170BX3w8PHp5eXOG8bjMUpqpLCUt82uFJ4/h0zJ1eZ6FlDpeZEAKLsnEzUoZdau1IHbivaWORgKSaJK2lvlOz2UNqJSdkKSZJWCGXtHeDpi/2nJh7/YwM1fceydd+5nf19QGS8sS9+7HGiK8ovSMa2Aw5RrQ4q5gjbtXkmy4aaJIlGpFk803/HqAZ+4s8Gekx7IECsko8RDk9aLZMc6Sc9ekiV+MqiWpJO1aS+km42VfTaZAktakNbJlkx3S+v+hjWpP27SALWyOlfZfF1pUrkQ1+JqnQXwWYEfRSFR2HvD8tLJaX1uoc/KypAotjTq7moRaVZXUixVz3XLwFt6mGCMcjQ9IUvKOlZWn5cB7rpIMv1dep4BOat2yzR4CdxuIqtJH50dqJRBZX63ilEyRqXyJFExf3NPkz0HCu0thXTed95Bw7onULC2zGHyFNnK82oDcsUTLxX3ayNcbYosUvhhpLni4jFvekmfQx8OCBMFQpMIzVAIdJLad2SBbuaolFWsLULglMmsFSiblYo6aWKtTbV4ehe2SPELMNIB32QypeSDl8FeBvIasJdBvW5QuRbgGVlk3UnO7rQ0gphmEKLnpjxE4nG+oVBKFnvFi1Lgk/5X1mXwPDioLn9VO2jyC65NBKzf3FBl7ex1xtoZ2DPmzoGuykxe6G6VBZHZFifSoGUxNF+pBM+LOHxG8T8+3mYkPbIJWkXXfLqClGugy3py3cTBOifIlk5QumJmLWxFyr6swUWlPiUxmjjxCJKYH3trn7+6s8Gh0xpUBEYTCY+hEKikcDRkOdicAHnmzVtAZxdc+p60Lj1vsSlrZ564qbC5Tf+OkQJhi9VjrZmQAr8E5DLYJ8G9nmOXN7enxzHfgtC4uviVLkhPoDdtAF9aFqbcbgJhLEgSF81mUiWrv12fukssJcpXYjWRkz9Pq9zWY8BKBnWCtbNEShXcppAossrguuJvp2Cu+N2lu3Qs7umQbmh476fanDofgNKpNShTeWIrvnf+vPzdKyxVTXQ9KxPlgC+kYXVnumxwj6xOwZKKJNZsmx/zg2/u8asf8OlELiCwVjI2ytmGSfY5LCSCQmEXIC/+3/1EpShK5zcVj7IgPpciTxncls5dahnanMGfJeAsrfYmA3IZQ88B8ErrXyrp4sQSxYZON+LcckQsYvRUI8aMExp1m+6L4lhEUGgvO5GLFxN/WZQ/HAWTlZeeDNyTYJhk7gzYBWsXU1pz9k4L7gtAl5hcm5TRTS5NnBwxJamSMXacP2oVoYOIj90W8J6Pthkbz8kToXJ5kjcVT1hiFd2dS7LKKXpWFi9OVimjmYM+S9lbjDF5djNP4Ru3FXhNx/zw2/rsP+bz/r9xWhwUiZCMjAs4ZULO4EUBVnayCpesbFc6UBeSxdqUzUUBLEc6rtTVVhI/TsbkdekpHkyZ5CqYEVX8lB+f5RBW9He2Q3JsGIwMvaHBHxj0cKwYjhVhVPS3idJ/VGSB0RrWLl7nH3AS0BNBxLO2psnSMlqRKLYUZKZbdJe3DFRl18GUpEoG5hKTy6I6MNfd+aObNbi8An/1xQYr4wzcDuCedNpbi6o8qaw6mV32LMeowti2AHcxnYBqVd/k1otmok5cSpRRGKOJE82Un/DW1wz4xD0NlnoKZARGEeH0+GR1YRUvz87kLg9UJIWy+pQs2LQpi+eATn1yY9eec5mVytpUIcjyAH27Lpa+lhYvjmFadyPdxISaL6kFEr3Ucb1sq133X0rSTu9KBmyCjMqSpPyYZazyDyrXgn1NQFZue8oBUxoRIW1FexdW2tqgMhtOU4A7qQSYWZCZ7XOjS+ztNWJu+3KNB56sY0ra2zU1ZPKkWm+St2ZNrmKienKejYEyYJVnzJS3wS43Q5Q3202sRNnCF48TD21iXnR1yLfcNOBPP+2DCkFIrBCMjUYJ4bYgyQJNUYB6Uq5k1qC1zq7NmF3JQkZZWSoUky53UmFu6y54W8KAyUgsY2ub/aywNMskWSGKEu7WA70QaV2Mp5hqesy2FTNtiV7pJCyvJix3E+o1VbXuEBUWrjB0+Q+JiRM8Aeo8Ys4uAmkLqTLB2EJMsLeoArtwUdLXyqLTEWNSpo6JtKmuLkmSzDGRJYkinXsSeBGHjks+cFuLsz3f7Xct3aB3JSh2bJiIF9bo7rLvvA57r2EeCvau2l4TWy3mw26qPZtKZo9u+5NNzYTv+5Y+9zwZcOicBBEBCoNkJGRpEykHqgzUonxCSx53/v95NjM9D2U2T82IDMyZbMlW4jy3gs0Teaa8kuRYyz5H6TliAuzpv8s+Xym+k0K4ydoS6r5idloxO6XQy10H7k4vRkqNryVCiRxoOajX0UeT4J6UIxmgEZSWyKruzpau/MDn9dUl5lYZ4CdAns/Innye5No7Y3GdjQNWMUom6NQW9P2IcWL4g79oc/cjddfbJrXT3lK6rh1RzF/JP2u2skwenwkmL+O8jPW1GczCtSj2eC+Xz5bLaF27mckclcQQS42KNS+/IeSH3tHl5//AZxxLl4Eykjh1VaQRpc9mUxCVazJcSxqlz+dei1JskHbXW7DSpgGmyC+APOjML3o74bSsDSjL+Cm0ua3EcpOqQVi3DIhUHrq+TKgHhrkpw+xUgu6PLP2RYRwZt5c4pT88wVQVBp98b+ICKH/IyeL3ggXLg33WYe/S/vNyPXkibd7t7bbNNiWJUhr7m+nudMZ1HlzKGM+P+dJDHp+4u8E49KCuc+2ds3ce2FK5r+ftl5dVd3+Wdr+S7ZoBu5AGRfGVVSmjm2qteGIk0jipkgE9jjX1RsxbXz7k9ruH3PGQcrYhEoQkEpphtoqmn7Ko5EvZWmbC1JY+G6lFmIE6/ZwSVPr9stfWZuRoczBL4ZjeZOc7C3bl+liqYLDyPAU0pQuHYtXL8BN4llY9plWP0a2aJKy5XcWyBoKyfznZ1VP+o/I5QW7XAfRaFhdlvV32lmXJscj0b76funuda+98EmoBbK0mgK4KcOsU3L4Xsdq33HZPg31nak6aCFcSKzLtLShNkLJrwJ1/N4qTUF3yn/vmvHCRW3KTKewc3GuGAxU1KlIqpEmQRhONNZdujviWl/Z5YI9PJ0zTr8bp8RBFtg+Eq7mbbGkr1hyLS+7kF6R0BKjSlraCzTOpkiZ8RFpDngO92sies7gtgFoF8jq4mnydBrHu6gFhbbqbHAzHkt5AowMPPT+rkdZjYcrH91WlSm8tU319oF6jTyF3SDJ2z4qUKuwtsqCyAHYB7swHL4JLmQ9mtxXGrgSUWSKn7KJI1ylvSPifn67zno+3sEI737vC3hTaW67zuSeW22IJLTU5PAd7Vyr5mAB1zuRrW9nyTXeNwSQSI50vrqQhSjykMvzwWwYcPO3xnk9oorgAuUEwFhJlskESKbjLrW05qFNdgVsEcvgLW1SdZkAXDsgy+2cikyrFiIlML1tR0t4VRqYK9oyxJwm2fFFkG4yQBb2C4QjOLUsiJHrLvMUXcHbKpYSzk1TONBZsWzBVLj/W0VHFe3adi2NizFhZqpQ87ozZi5l4qfc94ZjIDNxqQp5M7Fmv0r1nnAaP8PyIg2cln7izSb/vQV2tZe+85ru0uogiwZN/Z9Y+rwRIX5PBS6AvSZby3BJjsnqPEtBlBnSJkU6LS6mJooRWM+Ytrxjw2a/UOXgmTSq4AdUkQjCkZCKYFNy2ALvNQZ0ChzT5ky84mZOSpe4de6sUrIU8qQI9A6icWOXzY5fLFlH5eRYrCMr5B5FfLJCOgRaWXj/m9ELIMB6jtdJI6SreZUkTrZvMKF1hzwrsZwG9zDSXmGRAW5EnIp99V7gnObgz5hblweyZc2Iq223IkiyRMnVMUibXOmYcGW6/v8kXH6274eDScwCfYO+syMtVT5aCYcpB1ASTl1a5r+dWrqtgQqYYk2YPMycl3YrE6W5TyBQjSYREJRIjFNFY85rrQl7zoiEnPuMxNk6Hp5VQxGhGAqQpbVslRG5gZ76yypehzFFJa8UFOfCtEAXZW3dOrUgDzwrQi4yqyZM9xawcIXBlvZNMXnZcKFybDE+ZoVFgTlALfOr1Ghpvx2o/jD4bJv63esoWNdcZY8u1wK38B58T2JM6vGDsyaxlAfoSY+fAzoBelI1WnZOq/lZ5+j0pPY+R0nXqSD/mrod8fu2Pp0isLpwTqRBCun2ARJGWrzK4raxo67F3BdzPBfSJZM9kyr4sVwzZ1Ku0GEsUjkquyaXzxoXRxLHB9xN++vu77DupuetBifFFCln3BSKjGFIWVLYkS9bR5LkXnq622edNA8pMh4v0AjC5ZBV5nUp+nDKffKIJojIBq3RBrOe45CUBpc8kBcxO17lwx8xnL774glV16SU7+6sri4eU5IcgxtPZMEtKE0VLY4rztPlEGl2U3s+CsUzHV8pcy8FioamLysCyBVhK5JQCyryg6lnAXZYqupLQcb2WJ5cFv/aBKe55tOl8Jena0ZAeWgrqEgJJusmVXVu7XbmnDdD5kJzqMKKs5l2qiYbp0ipZvBali96uPa4ZGZTmAGa/X6ySpZ9Z2DAXE2jLA0/4rA5Ly3EaZmZTxIuKQ4cgUQH+13O1li6ECflVrlvM7NHy705apcWswPLPRPq6KAQrfsdWyCIIAhYXl7/v6af37tPTTWcTRREMh0XhfaX1aEIrZVdYRUdVGH1SexejvMqJhqo9WN4WoypN5DqaO9thYN27KgeWaSls+jzxEz7wqSk++eUmtqZAKIdOoRFSVvoti/7G5+iYL7EPz5ZXnnh7zQmaAARQCTSr8wvTIDOdH2hT5rbWFDUqQiKNIhEaOUx46yuHPHPY413v04RBXAqiBNZ4jEm7q7L8euJMbIstQJmyqCXNbqZD4lMDyLFoxsipbHH2YGlBSM+tpRQoZhhJSnIkvTgnzQybZB/d/Y0sYZT9HWPd+71BzCh0wNej0P0Da7KuGIrs4qR9kwJ6TUp+omVr7UVRnjyaLe9VSVIGfAXsGcOLFOAl7V1hcJmUnJQyuBNkqfbkjgcD/vgzTUZJOgVfZNZgmrUUtqK9103Nl4FeubAn5EoF7Ouzn02Du8x7XpPRzKs6i5oUK0uZTVlyVoRyhVkyLc6ShsRoAs/w/W/s89XHfe541NmFmTeOFBirGRvXjpYXkUxahylScyklBIpMmpRAnjU9lDR39juilOgpB5yZ910Gb/6zHGelibSlnwlhXQ16SbI0lKDmu93kdOCnV4Mx2FQiPGtAKYpTVdVKz6bDbQXMFcekrMdlsZGRrCzRWXOBKYBe0eGm6oFPsrdMigBTRwzG8Mt/NMXhUwFWF7slV7R3JpEqwJ4ANOuAOYewqOL5OQT55AYC1YxmufiqrMfX1qYYmVYcyjKLK0RiEEIjQ8NF2yL+0z/v8NWfDOiN0i9jZP65EjSjLMOSpRxNAXIrAZOC2pI7LCoNKK0k3xPYikyH21KSp7r62TLGcv1dIoYSnmAS7FVs5gRs3L8ZjRMsMcZY9O5dUygl6ff7LCwMsch0cOJaIFce8yvJVtiqHEiUmwHKM6MLNi+N3l1XopiSD17qS0zZPGfuimtS2p039by1jogT+L2PtXh0b8153jJj7sI58URVlihRZW1RBvvkhZ+xjyiGbq7H12uYfMI5KRogKIqZSrvbVaoNhWPwPOg00oE8kRiR3pNUqhjD9ZdH/Pi3d/jtv5gmTFIWhzwqTFCMTabF01x7CeS5RBGlLKdwG/TaMptLB7bstUynzObZRkEly5kDPXcp1xZeFTsoV49gzuQpbqLYUG/WkX4bm8ToK697I7Vag2OHn+bsmc/iB76z6SpkNFGYMwH4aqlj1S15VpkyAegC8HZCplT3ZyzYOyl0eTmpU7mngWUt4Qv3B7z/Yy06Q895gKnnTdqk65yTImtZLuUt6/DC6lxnBmElLBP56wqk12HtNXivAN1STgAVrJ1Ohc0kSTkJJJyNmEiFtMbVq8SKds3wA28b8PDTAbffp6ARp0ydfkIpiI1kRBZTFCC3uNJYctvSed5prOrKejMJYwqWzuRLHgw/C9CrK2LJNUmDy3whFJMUkRKscUF6Ese84qU3csP119Dt9dHWelh8YqMxBnyddm2L6jK65lSUlmZKoJ7U5JNgr+htYas+eAnUle3qRLHDrgN4UvW7pbMCZb6vugsspYyROmbvUc3/+Eibg0u+a4NP/W73KAv2LjlCFZCvJ08q0mRiWlOJHNbcMlk7UYvChO4uqgxLZamTHrldpxDLmnxTWZFJFWERUiMjy+7ZmB97e4+jZzUHTgmsLgssAdIjSUHOBMhTek2BnUoX4dYBlbJ7FmhmtUg5i5eky3pArxIkpSDTPufxzI6TEIUbVatp6nWfOA7ROrWBa4Gl1Uyo19J0K8UmReQnILt8Jhm+ADOCfI/LCsBlGeiFPKkwdypVVCpDCiYv6W5l0teTyZwC6EolSBnjBzFnO4Jffl+bT3ypgfVUkY5Ppcl67K1KF+B65QrlYGcyqVNm9EKHV0+QnTxDdu17a2tSyjo8A3Q5AM06fxyDS5E9T4PPxBBj8KRzVTpjyU/9luLcqoCgTLcCi86ZvJAn6YWWPaasrSRYk8kXCj9cFMVWeZApnVtiSw0uIi25nQzYy7iqMDglO5HSMUoxZxNDGNk8SaZ9X+D5wdl2w3z+wh3114WjLrHRxInMt2rLc/2pB1mNn8qypcrimRQpJMr6IM/BPRlQltlcpODOgkuRsbXLVMrUNXHPXa1JiOFv7m3yhQcbaa1JZgnKlMEz9i52DS7PGyxrxDVlsSUtTvnETDBNfmImtUjpvapzUkrV48CTVemVKw1l6qbk2+oJN37PuSfuPSklxqr0PYmwruIw0JbX3jTiTS8e8MHPSsJYuLRt9uElWDxiKxilncFWlGVKWZO7kc02ZfbiOnEFWbJUlShTXZ49Ou0M0pYclWyhIF8wiscSqCGr0bFpPyaMIsPczCyjUHw+8P2zFon69d/4Xf79j1622myEq/Wg+91JeMYxHNUrqmLxlQOujIXzbGO6XKgMpEWCIq8EzCoES3Ula1+XrUBbAXeZucsd8ToFt9YxiTR86u46/88fTnHkbJA2MRQJHaRGSEEgoSbdIHudjoHLZosXyZxiNJyzD4sR0/mUWwFSSvJtVUR1SL8boCQnEmIUc2AqCbTq8ZUTx77iy0s39iEL5NaWJtvKqiKEQ8ZsO+GKi2NOnFccOK5dwqcidEUKbOeAFOMvJn9n8kqevMjT/87aRWttw0cJvOVG9/XlmU33FoUogVEkOLtq2LrrQoLW1L+968GD93/PW1/u9uj51D0RsZFsaQ64cKZPYprEsXRXK+7qyecVTnyHNew9EVDmbF6WKOsFlmJiD/RMpqjCNZElKZKBW5YCyswS9LyEI4uS93+8yb5DAbRULklcYsdp70ya5H2WlECTAYjqRZ3fZfbdJ7N/a893ebXLfmO9ZI9jbTOR8ClcFFnK6pXT91K4bfSksLk3LnJmlykWjZt6ZZ03Ho0tl++O+P639njwSZ+jC6WlKg86nQyJEYyECy5JR7hZU65DKXR5XqNSVT0uXS/dz4RdxzJMcZY7VJlaWEd7ZxdCBvDEwDgWDJKEKy5a5Z/cep6Vbsivkm5CNTd/E4YmdQHj+BRRTKno3Oaa3Omv8gVq17B81Q8vb6VRtQRzcJcswrINKPLg0lC4KVnhVEmW5O+l7K0SlnuC3/1gmzsfrRVVglnGMgW3kqQ7FJfHIBcSS5VOwHq24HrAn7TAv95bOc6ZZLNKfQqpWyFsIVNECfylTKcU1mX6jE2TISrN/Cl3GQlDMjC88rox//c7u/zSH02zMsyAnbKnESnINbEUuYOSgRzjgEwG+JQsss9Y2vMqnytuhes5yGasTB5DSxFgZqBf46yWpFyqlFDCMNOQXHfpRbzwxhcwXBlm1yhcdckO3vjaK2+X8ejXzi5toTfwSBKZM4+QRc2Dqth52YyS57qbUi1JMVuvIk0yCaLKbslEV86a6sDseVxJ6Iyk5Q8+3uR9H2vRizwXQWfMnbombnZf4ZxUiqooDu5k9rLC1OuCuTrn+utB+mR3fQ7k7GdrAqrqnvMVb9xOtLmldeNZe1s2wNPYYg/OloYfeluPH35rj7qJ3XhWmz1GYGKwMdZYYgtjA2MjiNJ7bAWRwc0yt4I42w7cuvLr7HVW157krCtIbKne3ay95//OVH+vLFXAXVTNwHL5tiaHDg1+Da6/Hb27APglF23lj9/9G4NnDgyPnF1qMg4zcBdp+cqJLjFuXkciC0bOtbMqGhOq/nb6utJaVjB22QKUGaBVkv67LJFTZW4pY/AMzxzy+PPbG3SjdDImGbAz31siSKVJfreFrk2zmOtmKss6loK116TmS//m60F60a42YRlSDKDMHK3iIig1JeegltXX+aiJ7D2FTdvbjFVYo4gjRUtbvuu1fa64ZIxM4hzUVbAnBcgthAaiFNxxCuw4BW5sy/vep4MxbTF9qngU+c8rQM+zteQXQZ4lTVeD8goHrk1t5+YaNdU/8q5f//VBo70FKO1V/4Y3vAGta5w8cjed82fwPZVvaSfSg7k2q1neB7Gsv21VnuQuCROypNDdReLHFO/LamApRSlLOZGK117CE4c9fvxXZ3jyQID1ZCFLcgaXJVvQ5oN8JndqeNZOJiaW1HJipxSIFTbA1ylXbPVp1ReftAtdgOWcCAdcaQvJYoQLcI2Vbqm3FmNl+jtuQpYwzhtPXK8XIrRce3HEu39qlR/6r4InD6bBSaZN03oZsJDKFYsDo1+2D7OWtlSiZKuiLUmYNMtfPNpCn+duCtV7dlzKxzIDd3ZxjMaGbdt388ZvfgX9wRD4yYLBAVpTLVpT07TbMXPTyzTrYd5iloF6jcWXszeV4ic56YQIWw0US6xdBrF6NmkikzXgzuxAB25Dz0p+/+NNHtsTkKgSa4ui3gRKtmAF1KXvUmLlybmDa8ZCVMBePU5fD3nbCWCXEV7syV4Afi2zr5Us5f02s8m0WX2KnZiM5SxEt3OESCTXXzHmR9/SpyUT57utw+LYBIwlMRCmbB6lrB2nkiS2hWSpSBJTMHtZgiQpc2e/X5YiOZuXmbt0DI2F3khwth8jA83GjdPMzU3lP88Z/NSiolbzDz5xRB86f6q2+9Kt4ClZTLuacIeKbZpLiRwK3zu7EDIHpUh1m4mLJGXv1NsWpUBTZdnJlL2lKoFdxCiRoL2EgYH3f6LJR77QZJyBeYK5Ec6iywuqnoW9K/URk4wtCmBXkzmieowqyP5a8mSSvYvy1EkdbqAyTq88OyUfGmScH56xurACkdaoCCsR1qZ3mQagyjXsJhZfWN7+mgF7jmne//EW/Qh3wExKhdlj2sCWGFkEkmmq3pDuM5QeW0pJn8wbzzK1WXYzL6tNSSQv0iozcHZ8M188vWsL062YV9wCr7wpOTS/QRycnzb5v8na7Pj93/ttrr/p1Ycssxsffca8IhyOmG6qStEUZPUZz1XLXZ1dUlQEri2DlVn5qypXCNp1NHhRWCVFYQ1qHdOP4I/+usl/fd8U55b9UndOlq3MXku0cI0MfqWRIUvRF7538dkn0vayuhfk5BYr620CIMrv5T+j8t+ZzCvkNS/588kprevU+lD6d9nPM1Dkv2OpVohm45RtWl5lmW4nvPDKkO5A8PQh7ZJAlfSsrVzlFuHsSsoSrXRhi9xrm/iZWHOBF2+IPJhfQxelj6IUBJ7g4q2Wb3/1hVyy++rfW1k48d6ZTS/K/135AmHznGbzXPDpGy7Wj81NBcRJ+jfzgpeyRrI5+KU0jpllqba7ElgaJvV0RYKIQrrIieBSlrR2AW5X2y1rlk/eVedX3tvm7LLnhtysYe9qxtITJSCLiX120gO5vvdd+NyV8105ZRNv/i/eyhnN7I1MqsCzMHc69DIrrcilSalGxZaC0KIjf0KqWIkxmihUbJkx/OwPdPnWVwxgnKRBZ1TIlCwItQlYg7EQWRgZCI0gSl+74FOsDTizoDMPiAtPOwsusw257IQsyfMwOeFaRlHAk4dqj43j9qc7/XrlmFYA/uY3vZZmcvs9V1zYeWjXlohGLXLgzYLL/D9edk9MUTw1OZQnA7Qq1Zao9VySrP5kEtSF910Gt5QJKjAcPKn509uanFnwwV8P2G6PQZFq7sw50WliYrJTp9wIvSbQmYh68mmoZUx/fapkfeaa/HnJ+zZlWVK+EPJHkQ7pnHRVioFBrlk5A3n2qHKwJyWHJQ4lWzYkvPObB+zeEUKY6e/MYVkLcmsLh2VcAnkOdDuhzUt6PHud6/H1QD4J9PTng7Hl7DI8+Ezvof/0G5+555obXvXsAAe47JIpLr90mt07B0w1R2QDF7OlI19OK+C2FXauWoYmHdJTYus1ZbAT6XeRrQiT4E6liW84dFrzn989zZcerjndUfG6yyB3nnc2BkKvMw5jXalQ/p28A7yqxTPWFiWPsHJhTP6+WN8lya6KypwUO/k4uWdNYR1m/vcaZs9+BwcqazIbMWPuqleeWDet1hiFGQle/cIRv/jjHS7aFrp8eB5klpg8A7y1a0AemsI+dAFo4YvHqU+e2ILNk7SpOmP4CsjTY1E+tsbA6sByduhTm99JsGHHGqLQa96YeTNS6nDheJ9xeCQvuEKSqi1b0W+qJEvKAWU5DS9S269iIWYXRylT6S6Kqjypvo5RnuHoec1/+f0pPnJ7g1Cku1GJan9lBm6JY++iznud7beFXSNJWAecTAC3wuhfi7grHtc6bJ6ePLveepyV0OaOSrVOnKyMopLZLBohpEm1snABp8gzodJlRY0tLT4u8IwN1HTMO75pQGLg535vimPnBXjpLxoKPZelKVM4GSsI08DRSoHBokm78FOtL9N/n2c9K0ulzQPavHO/5BOKNFYBV2J0641b+YkffG0Yxwl/9CtfA+CJ3IKstX9yftMlV+5fXH5lp5cQ+FmdeDnpMxE4kflxqwAALQxJREFUTnrZlXS8qfjhMgd4USmY+d8iZ/ByYicroko4tuDx0/99io/d0SCU6dZrYr17OWNZGl6fau11pQnlAG7CMakAvsrWa2j7b3GbxHW5Lnxt2j6FYlqvYSxuLvdEVlOkLkrmpjiHpQxySbbTWBbyCaHyhuI4tng64bteP0Qr+Jn/Ps2x8z7pHObqRWjAGe/u2BskIY6N/ZJHnk2kdc5JOkw/c1pk9SLIXZv0u0hr85XU1wIlDVNTTS7ZfdGXd+/a8ZMkvTXHdY1E2bRhiv1PfLK72KnvO3Cinqx0NWEki3r3fCjPZN121cMu12wXzcNFyr2QMkkF3DIDd6mwSsoYqRJOLyt+9vem+Njt64B7jS3oDqInq10667F3nq0tyZeMKSa1eAbo9SL8il/wv4LzNeBd64sXb6braEmmZHLHUB2in801LG/Tl885zLR5FnSWUvo2zXQaq4hjiU7g7d805P/58Q5b5krB5qQ/nt9Nqsud1AhLkiVMdXmSavPIphnQVIfHJtPhIvfHJ2MQKVy/+ExLcdXuRrJ7V33fZ7/w+a7Q7a8NcHD/0U5v9OPKm33CffFqh3sVuGuTM3IyyFzH9isHkjlTi/J7CUpGqWNiSDzBez/V4iOfaxCqMqD1xGMJ3GJtxnJSd1d1dQHQ9cZDlP3v9fS1KK2h/4v4rmYz1yR1qu5JOQGUJ3hYy+Dlrp+Kq2JSMFtZ1eMVLV6k9E0i0YnlHa8f8ANv7qOTBJLJwDNeF+jWWmKT1rCkSaHIkN/jVIdnOj0boJml/YtEEblGz1xupSTTrfYT48Hgx6Vc/9iu+/atL3kLEj+59JILbLMOgZ9tmFoabJkN4cnBbScAnAWUBjVR+ScrgWZR9ipVyQbMiqiUAS34/D11Pvz5BmOpUqotA7rE3hTSpNhXpwRoykAv/OI1I+rKIC8xdVlrlwGd/cKaMtmvB9ylX6zIlBKrr3FNEKkWZ+ICSKdfTViEFVafAH25GMsxeArujM2NA3lgLN/5ugHf9OIhIjFFljMD+bp3kwagDtAjC2MrCDP2tq6mJXdaJtg8sxmzYDUygiiGMLJEsWDLtl122E+S17/69eseX/1sB/66G24hjkYfFuGey2Ryshl4DthyDVObkraeCCYzyVEKLotMZjm4LFhblJ0TbRAa/vruGj/536d55nCQNgyvA+z8dSFN1JrAsszgE+1o2AqgC8xWkyyTuqWSup8A9dcE90Qac608Efmb5cH4a+pTsg72SoOyrTyaih4HjMwTPAaBIA04rQTjLn5jXKLPzTSx2ASu2R3x3/51h/+g4La7G040K6pfJM10Vt+ThZsjIQG0FSTpKmtE1hnkNpMyIh1JARSVkkWTQ5zAtq1z/ZtvuunDjUbtWY+xfLYfbJjfZs3god+9/LLti/MzXZqNMUEQ4esYTyf5dnxKlfeaLDFyqVdyDatn8iRj7jTgzMCthPtvCQ2fvKvOT/+/UzxzJAX3Gq+7Kk2ETINKSjszZPqbSVA/h9xYz1Vh7b18m/TDn9Prts/x/kSNSiXZQznRU36vZCXCGu2d++JlPV7W3uW6lZJ9aKxMd1pOmTyUXPn/a+/Lw+yo6rTfc2q7S9/eO93pLJ2kQ/YQ9hAhkVVQRFFWwWX0UXEQPh3GDX0U8JlRwY9B5RNwZtTPz8cFAUGCCAIOO4RF9iRkXztAd3q5vdx7aznn++OcU3Wq6t5OBxICzJznuV33VlXXrVv1nl+9v73Lw1UXF/HB5WOyLR+rQk806a7oi5TmTNKTChPOoTIjkqPLKEUVjsujsFwvEC0uSx5BsUyxc4igc8bc3Xc9tPon06dNqXmpa0pwAGhpnw/m98MJ7kax6ML17JDkK8AK5Swy+UXSOiG5CdOkuvrMInBrPFzQEuCOR7L45k/r8fKmWuCmkeSGcOhYITVJF++JqpGm0+9qgl3HbMKEWCV4UEP7xHk4T9yeUFpr26O4FCHVw7iVmDTnkUWFVJPmKsqQRXEqoaIqog8h41SYNM8QIrVXLUoGLrBopofvfbEIzoE/15TkKm7Q0D5LEwwXZksOJc0BU1JLU8bpM0YQQD2JVclloOhy0EwGCxfNQUdbPcYb4wLcyk+t7NpR/MKarfNvbs+tzat+8LrtWrQo4THaQVKvCNwEmomQKAqjgC4oCkyCux7L4LLr6rF6i10d3EhIb5kXGc+OFw/GMGIQcemdoiQxhTEB5iTYEU98UDMg/nHPEFf23RQ9QQRcZRoO7eHQ6YfO0SOLSiTleUhLhJlQA7syGyrrijRsh7+BChs5KEC4ITrwqV/vciye6eGqS4pgHPjLY9nILq5OnvAI40R+5sqUKHZWziuPCD5uSKpicdV8gMMkJPRAmxTIWgyfOr1jtL2Jf2FqZ2flDQN8165RZjgLn+qekyu+uv7GfEN+GKYy8Wm27BSgwVPSO3QEhe8VLYkcOoRycIPg7icy+OqP67Fms3TB65I6BDSNgZuSyKGjmwPTcd7JBN4qjh4osCfLiZGYlFdQDgFfi7ck1iVYiLaBhOI6GUobVzo1cOuTgWmHkHmcBBHQYzZyVeNQcnFhmBZSnHEuJTuFCmNUqYuMKWsTBdwAC2d4+OH/KoJzgnsfzyAIf7My96hfQLWXNHBzdV8JuAQ744BPAI/Ih4KM3zcohy15+ZQGEx85+aTi4gVdTw0O7WYYZ4wL8I72DhBK+/oD7ywyddEDwch9lmNrJjU5K+OJD3FqAvDEerUMImpCAlDKwSjF3552cOm/1eOVbSq+pJoyqfNuIXHiDh29tkki6k6X3qguyeMgT68LsZvYT1+/t4MnXuF6bWXKwQlNUhN9AvC48yeU2lKKA2FicrWYcsiwWlW7UJfkwnHJQbghcOoyLOjycO0/DeFiH3jg6QwCqv0K5QBSszZ8zxAWEicR0AERThAQQU8IASoAqOzYXKp4+NDJR3q9g+ws027sK9QXMN6g4240DLDyejR3dO0k2Tmb1r9qw7FGYJmiNINpytJossC83j2YhkkKSpGMv49eDNQAmEFx71MOLvlhA9ZttRGWmdLMfzFwg4YIo0SjJkhm5+jey2rSuxZlSZddqwpoHfjJGRDtskdwV3Pfhx5LJPk2Cfl40pTIlBkxYTJU0rF6LItSKDXnEKOaUqqSI+IOIWU+5C7BnOke/s9XhnDiUWUYQRB3AFV1BunbfYB5QOCJJVdLH5wFYIzBDzjKlRKWH85w4orZmzqnz975xIvbkcmMK6PHB7i4qQau+fdHtv7pEetzI+xoeD5gWz4s0xX93WVReb0OdyykVb0n0vRHAlDigxBpD7c5mElw/9MZfPmaBqzbboNXVSgVqHXPJYll6NSq5512x+uSmcfXaYhM0ZYEyNPg5bH9xPba8OapN/KjJgB1ChJ9I4+AzxI0JRaQBU0y604g3R5O45+Tnk0VfRiCOwl4EZHIKwRzpnn40aVDOP6oMmggTSU6yJFwDCkwJ9cFHsBcsQwq4uUzmCzAeSctwOlHDH+u01y51TAM7GmYe9qBZrrhuSWYVmbXwC76cM+m55YHfAvamjiCQPz46GbHaYm40TySQTr3JgC1Obb1W3j8WRtX/KyAdVttcLuajTtBUaRXRoXB2gQwoXNv5ZZP10iMS+t0eegkVdFmuqaIJhRMxCeH/Ok13Pm1wR5KcnkgrvHxiFvHObhQUDWawkWtd25EUl8ok+qpELePC+6uFExhZtUVUJGpQ2VAlihFEWX2IHQrUgIQj2Fel4efXFrE5T/jWPWcg227TcBG9HghYaKnPHnN6EqA8MkscxDAhRuzoTCG2Z2tsPNHPoz6Zbtso4yjurLY09gjwAHAsrPYvuW/NjQU8j95Zsfhy//64Os4+7gxHH+Yh4wpJIAAsGqIoQFc3TqigZ0A1AHW7bBw9S8KWPlIBr1DpgZu/VUF4BJgkdSWVhM5ofQaJ3pwlQLlRKwnqSRj6RSJsxASs7KkxHpyfTVgc20z1+4r4kskPictJTGqQoAw4pBoCieJJoeKYSGh1Kfy/5mMHqUgWqoapSyU8OH5xgKuxJdTF5g73cN1XxvCyscyuPo/C1i/wxJSSOfe1aY/V9dUbudAzvRx/FHDOPXIEqbPOBy5htxP/vrgoxtOOe7YiUB3YgAHgP7yPJj5+qcCm9++dlvxjD/c8xCWLvKQsxkI5zDtIJTeIgxSPHGi38BDQFAH2LDTwndvLODWe7MoB1TGdFd7kQjoYV1BybsRL9yTihZE2kpSa108/DUCari6ig8+4ugEexTRezFSoE55JuMTIW5OlFIbPKpIRqTjhyidL6IwTP4j0TyeFNEkEDZ1zYaudMNwYnExOSDiwRljoD5He3OAj3+gBMcCrvxpARt3mqLIp7KJ6tdTshdxKeVNsQyAExRshrOPL+KTH1wI1zj4dqdx1lMIBid8LScM8CXzJmP1up1bzz/tqC89/9wTxpJpDac71ANjPhj3sHEbBZMnzRgwqSHApBYWBpcpUUctYONOE1fcUIdb78uiDB3cGphTtCQSu5FSKaS2atYaa72SVCahHb4aF9eAHItBSUr4Klw93I1ogJ8oklO7CkkXizGpIdVDwUk0zq0cPIyE3cfCYzHI3vKRyYVI23ok0RWgRd8fRVdAqZTkEc1hjCKsJwdE2xkHK3M4FsNZJ5UADlxxQx029VjCowP1/QLYbS0BJjUECJi4iBwEG1/NwOcZDHg2Hn2xC8sPm7py1uLjv1QZ3b4tUzd93wMcABbMmYK1ax7bdtEFx7xU2T14eqn0JGx7CDfensP/u6MOvrTqM5/joC4XHz25jA8dX0ZzVrhnqQVs2WXg8usLuOXeLCqgAp01ga0plIioSbVi9QZJcHBEwVVpGzcPQau8Y9XMgzFqmKQlOiSTT9u9lOYhULX3mi4Zs4uH1hMlQSXnjzl8SMIbKo8jqhwn7eJxCw1jRFxrymQMOZWgZjFJrsCsqi7EODkFKAkAnyNrMpzzvhJAgG9fV4etuwzx6GUETVmG00+o4KMnlTC3y0PgiZP3CcGv7qjD9X/sQIAMypWZGPRPeOmxxx/bdsx7jtmra7tXAAeA7unTYOamXrVj3SuzUNlw7k9vreCa3zXj9WFHXGlZ/mtDj4lHnrexdZeBSy4YQ87i+PtzFm64JYeb783CVaJVd9/GXgr08rOkJgYRJx0vdSxAnOTeSaVR5+LJuO8kD09RkOQ6ncMnxhthKyEQYxJboVwDdyR8oZKSuRaUFNnNedQ/HhFDlKW8NeuK5gxS3Rs0M6L44ihhQklyVfOB6vwdPJT+jAlHIPM5HJPj3JNLAAOuvyWLZ1dbyGUZLrlgDF8+fxSFbACTE7BAxLtwQvC188fAWR/ufrYDc2d33zRvzhFXrdu0c6+v6xtijq9vvR1t0ztyl33/t/f85s6xY3cWbcCgYMwD/ArAKtLE4yNvBvj2hSNoaeD45nV1GByh8CAvVE1FsloSQ+TMUbEmYTKDVudE9fSk2uewz6fk3qrRVtifUp5OVAY5sV0vF0FJ+P+qbIShyjpo5ZJVGQlRNpmEZZbVsZK9MqmB8LtVASLDkCZPVRdS6zuaLEUdFWFKlOmgeudouTTiVXwNrTZNVJJPSwZPeK5jFRK0eCKDBsL8G0aISmceBYghgqeGRg18/bo82ho5vvP5EeQNBuYDvm/B8214vg0/MEEJUCxxPLq265HXKpecYpPtY5d85tS9xupeS3AAmNR1Bv5033NjS4/4B/fhp24D4QMocwODrgGXA4Ay3hMQRrB7UHYf8EQMMMLyUZp0DgMZNOBDWU0QtskIg3F0rg1NaVRHqqFExigJUIW+RNv1pfoQGUjibFs1n5qoCNG9j2JFet+YhUWZDXU+nnDZRxQlGaciJiCTsR6RFJdcGgCVJ8QhaAc1hDKoPJuitCwRIa08ktIy90xKcnEhxVNFJMoQya9Em0qAWByTmjiaG5koz02FkiqKgdooVzIYK+dQcSkMuw1nnnaeCzIylm3ce3C/YYADwIojZoEx9uTODxy67M67H8r29PvwAkOkkvlCXZ892cfpx43hG58ahZ3h6Oml+Onv8+COhrhwWc1EKLYpe7cFSWZIXCqrqrDjOnQk6JEAvU4zqimf4fokFw8/x1GZxDOpuSUBZiRBqq0PTX+axSTmnpdEXJsIqtR1SENCUCPi+yqWnCoLioyNIqrOuKiQxRnTuklITs4YuKElUYCENRBDe3tomhInTUzgt3dm8NPf5WBnxNPnw8eV0N0SgBDRV6jiORgoZjE4Uo+Zc1aUSGbBk4Ts0R9Zc7zh/2xqrEfGtr513kdW/Oi498woV3wmpErAAS/A0QvGcN23BvC9i4porguQtRmOO9RFNqPulq5cai+q05bIJGgS4b03Ka/irUwmE0dVqWgSrBpgddxRko4OlNMr7bJPXozERkKq7jUuuGtGYGkmk3iMSrWY8CjDRz+eHm0oYsv1arXx6rV6D86YWz/0ZkalKFQ+p0qBU5I9im2h4XEJAcbKBA/83UbJpegfNvGt6xtw8fca8cQaC5blwzC4jHb0UPRnltumHf8jQu1vOZnx4032C8ABIF+XZxvWPX5F55RJVzdNandHKgHgV7Bs4RCuumgQpxxZgU0JAg+gAcfc2R6WzPNEqJhulQjNFUnKAtl9WJkEoyZRteoJ1qwriDRlSUrqmIs+eXr6+hqTJgXKCaMb6fmggTK5u15DHHqMSgzMujNIA3TMIkOq7JPI4WRRWlss5U0Dd5T3KVPeoO2vqJzF8dxaC+s2WqLrhGmi4tu4Z1UBX7++CavWUDh2BVm7jMmTG91Cff3V99z34BWOkx03WnBP4w1TFDVufbjoNjfV/WB2V5vL2dB3j5rfQz9xwjAO7jZQHs0BYKIaleGjtTlAZ4vKGk0AO0ScArmgJsrOHUluzQyIdIZ8KmoQ1T2XOjCrLqu8j4BYnXgk8zffiLmwmiDXKQtqbVOJEAQh3RDueQmxGD9HzLrCieTfjEq6wqJtagKBh5JcNyPqXlDGeWRVIYpDyRfl6NlNsXu3Ko4qmxNwA4+szuHiH+dw5vIyTjq0lXV3T/nuCUdb/1Yq7XLfLD7fNMB/+PULcOddfy0tnHrw7SbLXzm9sAVdHVkMj5oghME0PFimC8o4mM9EvcNQDGrSWimVWpSgCqQytCjBeBhs3OSXkuIhmNOFfUg10KcmgYZYTqpL7CR/iQFbSq/EPnHlsTrSQ0Br+4aeTBJJZ4lC0ShKOmoUH49Rk/B/Irc+IZHtm1Ie2c5loSfl5RQzThi9KdUcQFyCnSP0hKoyciDSYSTjvMEFxSSG1LcMG6AZEMMEAcWzGwvo63cxo2s5b5nadfuWNaXSkcs+8Wbh+eYBDgCHLZqG4crs9e2F4CJSec8N/b2raMU1YVs+spmSjGPwIIIbEA+w0SMENcUyqkgVeSopeMr2rRfsUZJdQSuVf6lLZLVflXUhNGtMgHAfifJaWJ2IAI9FC5IEoPVXNdBrUpko4EMDNlF0Rre06MqnOJyhwK88mhBWlagvkAoNJ5G3k1Eh5WWMSsi/oZRaDiJro/DU48cAiAXDtFFvU2QpR9kmOPm4pSzfOPui2bMPXv/cmh37Apr7BuCd0+eDV1a5sFf8/A+3rc4V+2ZfO72pD1Pby7AMH8yqgEB0wnJ9vbqOLmojV71uNdGbsyatJVFZ43Scd7JSVSpKMKZoxjN1ksIbQJx+aBsUxFOkZS/oSTI0I9qANOh16wkS65SY1iQ+VGwQNO+m2k2CXlhPSOS/gejaJtyV4liUix8eejspRHk4FXkIUS0r7ubXnHacwLaE00dcHwOOQdFic7QXfJx8TAOOOKzyz0efevTP//bES8GJyxbvC2i+OSVTH8RZilc2vRocfuTHNs6df+qwx1tRccWj0bICDJQYbrwpj/ufzaQDqxS45elEzVkjiW0SnX/zlKJYveRxhLVUXLe+Htq+CUmdirFSUjuhmCbevuERAVFfp3koEUd3zI4OTUrLWRC5/5Mx4nErih4KEFdC4278qGV4pGxGRYWo9oSgmjJqIChTnHhIBReeO4zWnAv4AQgAk/iY2dmAU084efi095+zsaG8Y5+BG9hHElyNXC6HaS2jKzubD/1iX0/5R6O9dzQT9GJ9T4Cb7q/DT26qhxvIjqoh79a4ONFyKynXQB3Ps6yVY1lNoUwGSKUnQITmOJgTnBtpUFfBeFoSj4P6pOROfU6s06lKymKiqHIozRHj6ipHP2zFDekAUp2UEdnBGaAFTkHmbkLplmAUILKwJwCQMNSWy6x9HuZ1EjmBgsCAbfj40rkjCAKC391PsaHXQH1jM0495fj+eQsO//LLa0ZXLpxXty8huU+ETmpUSkMg1P50eeAvVz3w6K1t37ihjDU7s7KnuSwrSgQPC7sxSA5uUSBDAVu54qUUjxXPJIDeAbiWuZBSKelpYr3aT7rT1fFUPItgSiTxXSR050fHV/sQab4n0j2vtsn1hEDvBqHCAEh47GpLPs7neGdp3Z2v9yKNr9e7ckSVBqL99ERxhO+jrhx6gad4Pcp0B+p4VpfqzEFkQEzACNZsN3HNH+fi8CVn9v7jecu/Xqp4v2xprn+TyEuPfSrB1XCyDeD89V9a7Svok1sGvt838Pc2QgDulwFeASxWlRDrmfHpHjq1wa274SPpHE9FU7M5nNEk8bnatgQnR+w48Q5r+i5xl/3EZIhePkLn2CmXvto/uT2xFNYUtScERZGhtARRgBYUTZESWizEySi3vRDrFBQMykqolE1hNtTKT2i1V7joIgtJ32FaAGcWxkp1aCs4uPKzC3vRtOyynbsrvzxoeuP+gCL2nNT2BseVV/4Q9ZNXPOuYud7GjLuiztmdndlRRF22jN6hRC1v2UPHIqqHjvJaIlU4sxq4Y4qlkkyaoqmkc1qKk5QUJbpETkpzKY3VumgykXC96suTXJ9c1srkr/pe/4xq+5Iq27g2iaNMJJKgXpGCnFwff6cOkFKw5Req7wyX2lPAkEnpq7cRrN5iY8POVjCyuL+tddZXM2zzL7tmHrq/YLj/AA4Af73ztzj7jDNe6J6W3/7B94y977Rlq533Li2h51WKzTszgGUJekINUJn34GjUJAJ4bVqStIeHrf8w3gRQUl8DMtX302mIBKWiGjFQ60BPgzkN9jTA00+eKi/I/0uBW8sTTe6bmAQK3DrooV2H6CmUTJNOgzx69MXDGKLrrpcSYcg6Ph54zsDlNzbhDw/nwcxDhmdOm/VF16W/mXvImXvj993rsV8oij7OO3WEFZpzN619ZbK/bddhvzpy1vOZ5Ytc/O1p1cdSWE7irbUT1IRqoa86SBGXhGErQyB947XP0MERv4XhzRuPZKRc9lV2mhgxEaOashkGV+l0Rb1iiqL8X2VhUUFXCTu4Mr4QTSlNxrcAohuDDlw9j0EonABliqNI/kKijwSivg3hTJgeuQFKKR5+MYOHX2rBRR+bUi40tH/2lkdbbs3axTflhp/I2K8SHAC+f+0dcCafxq/87dS1Hz2WrO4byn7oxpUVc/tgkyxgT0ANgoyU4Epqm4YW602Tcd5IUxTKYxJLva9ZB0WXxgmKEkpsqP9JKJNyO9X3JURr96etqyHBa3pU1W/QaAdIOvpR7ZvKSKpFYxKTO4R0yt4pl8pzy/X1JO6kU8fkBMkwCaWcAgR+YIFzBlK3pNw9Y/rHv/nF4m0LOwaCj5316f0Nv/0PcAC4/y9/wst/fi+fs8RY+5u/tL8yMNRwWmmk33I9F4xTWNRAlnI4RpTIoPpXhlYUlSSQTFLQOjRUvcFV+Hf4GNdTPavw7xDcIY3RqQeqALc6bYlx9yr0odrTZo8v7OGz9iRSE0bAlGgTIpod+j7acykG+FAJTmyLnYNcTQmHabpgzEfP6w1oazt4bMnc9k+dfcaFtw5mdrDzP/qZtwJ6bw3AAeDqH92JPvpJfO/C7asHB2du/sBRYyfNn7Yls36HBd91kLc064mS5AYPw2RT2TdEA/c4krCWBFfmwWqSPbYuCWqdi2umRGUiTIKZ0toSXAdHcpLGwZmW6tWWQKQ/JIEXp2cJcEKCNlwvtqkYkpqA144bnYOIR7FMYKDo4mcrc9j0+iFDrc1zLjzuE8039b/0CM447ZNvFezeOoADwFMP3Iy5iz+DT39q6KWDZ7f0WJkpK558yc+VhsvIWhFYRBVbUTnAlK14FFUJuzPQtNKYfszXoidpqqADNXrMRoBRkjhFS/T/0cBMk/vUoCgxICaBPQ7Yw6Soar8Hyd+aPJ4+yUh0fE1z4DGQq4QGaU6ECgOIJomyXEE6dTyPwEMrdvvH7t7w+uwv3/Ws/ZsfXlzCwUv/4a2E3P5x9ExkbNxRhGWZn7n73kd+8Mc77m97bXcR/SXRoy5ripgF20TYblvnmlXjrQniMqaGZNQlOCFap2M9/zIBcJWDEbXqTjwFKIlLcW0SxCaI9iSo9mQxwu+J6Ffs3AgQz7+stS7u2BEOHUhOrFmaQnoXtWqPBHniIvPo2orJzMM2NrYVwDZ92JYPgGP3oA3DasH0OSf0dnQd+w1w/xeEthwQnO2zWJS9Hd1T69GU5784/4xjL/v8BSf1nr7CQbEyilFPbBcSnMM2OWxDk+YEcRu1/hhGQuIlvjO5LjW7tRW6dAMgHCfaPkT7n30hJQjRHDdqmSyIog2tHH14HtWcQfrKdFRfxKlVs9UoLS7eqY1x2SCKUbg+hesZcD3RhS0IxHEt04Vh9mPVuhbUd3ygt7XzhMt81zpg4AbeAjPheKNQl0e5VPr5qSct9Q+a4V1729MPNm3dVQYgpHdGtZ8nKoCHR23l9nBsMi6Sa/5XaqErTrHPodOD1PyaRDn8cUetiMLankrE4050c+Gevi6RRRTFhmuThqfPI2oPLiYFpRyBrHuYsT2YBoNTNwnzFr1voGP60V91XfqrfJ0z0Yu/X8YBBTgAZLJZlMqVX7d0Lus/4pC+7qOW4OpHH3zcylhAPkNhUgGTgANBQOBJ4y3TLKh79BTocfvY8/3XQa1W6Pw+pVgRZZGI82yM831cOxk97FWBVNmqRbCSyhhWGTk84b6vxduQeCrxqpOo5mXTDsnCFn8Uvh/VTDFNBhYwZGyOXNNyL5tjXztl9uEbiWH8mZADC27gbQBwAMhmHHb/qnUrL/3sh+1XXl47NqsZ169+8XkCVqGGISIjXI+j4nIEsucRIdENoCR+MybqGgsxVkVJTUpx3VWtA1vbdVzwkAmuDyW0PEEVxxGT3CS9v5oRYYzJON+Z5GpEO5Z+XPV7wihdTuD7BCXXQMUTM4wQClbIsGktS7mZn3lxrr37/3ojO127sGTvgbAfxtsC4ABw4tI5eObZ1e7C7km/dkj5gYJdObt/d++/9Pa+BsMwMTwWwPV82U4uugG6GSy8QQlgRHcwcdP3IM1iwIYO/mgWiPWkqkTXdQN9xMCjKW/qnOMSvApNUf+XyP4Z74fo8zZOtRCbqFE8ufqpQhHlEIor48BoiWJohCAIAnRO7kC+qfU7+frum2FN3d776rA7afLbA9zA2wjgAHD4oQsAoHTLrbet6+6e/YP2tga7a2rjt8oj24znXnFRqnCMVcRNMIhQOimNQBBo8dEAYhkx0oKlV2GIbmjVs0mION2khypSPFRuE7EcNVCelLKx7By1gVehKUAoysPSbgkKFn23Hrog6UlYG4bHdAvIsmvgUekIwpWJVoTD2hYDY0CpwrDlVQeL5s0Mmtva/3Xh/Ck/2LClLzj+oImVNH4rx9sK4GqcdeZHcOedK4Nzzz3n8qHBfrPU/+d/fuW1Fxy/p4yAeBguWah3OByLwzLE7QmYpC/6XdYe6XocBoAwSzzEiNwvNIOpZQLQRBN3MaCrLaEEr/7bqiU1IIFdPXEhRVM4wrDXKCdTP5imBIPHziUsnaFfH6L7JTkCGQLrB8LAZhOGjMNQl61gcCSAY9ehrc1CKXNE5ZxzTrqmtbX58r/cdSfe/4HTDzRsqo59YeHab6NcGoaT6QPn2e8/8cy2ZQ/cdzetb9y57MpfEHNWk4GWApDLiCZUxVGOsidAnnLsIJKwegyLQUjk/qeixmD0mUTxL5qd29Dt27qdnJCYzTtcyqscnceeHTJJjy0Jbdt6TcNkzUIZt2NI+zSFTEDQbOLSPg71vdDs4VQsg4CiVLFQHBU+wHzGR3NDCa2NffjV3zr87vbJj5940imMZmc9Xiy5l01rKaCx8Y0X5tnf420NcH2sX/MrTGqihVWrvX+/5te7z/EGdtHGTBltTQ6yDkH/6Bhe2GzCAOBYPHTvJ4fuVDESoDYoCQtchgU0tUKaySUJwR/3ZEZVskgM3IrC1HxSaJMvDu44qA39vbZMAtwwmPY5yuSJHmXiEWdQLkx8tg+A4cWNDvqHCsjYBE2FCmZMYZjRlWUPbZj/h02vN3++kKkMf+mTZx9oSExovC0pSrVx0PxP4fHntwy3T8te8oXzd254etVTi+qskTO80W2Y0UlgZofw7M48xoazwnZu8NC6whApZVyX7jxMTgGQlvZAmp4QHaSUxJVK6BQmAW59aAqA7nvRcRcrwaYplrFyEFzWMoG25NrBlHTWUs9U2pjK1lGFOSnlyGU8FEtFrFzVAMu30NEMvOeobtQ1Z25v6Fj80nlzpvzY90rDdn7egYbDhMc7BuAAsGzJDADo2759+7ePWXJ212s9G9D3+vozRgdewvT2Eo5YEODBJ7IwKGCZAsgBA4JALDkX8DNolPET8taEeSVFH7TPSUCn40HiNCSU3OGIao7oa2U1hpgVRdn8KY1s4FHVKs2aEsu0J+HfqNwy02r/EdFAjAMBE1ViLYOCEobHXvLwzCvAsQuyWHjwQsw8aO7tcxbN+/Lw8MjWgj3lQENgr8c7CuBqTJs2DZWx/q0tC+Z9dUd95vdPP7HF9YyDrhwbG12cNTwUsiZyjsgSL1c4Kh7g+iQEiskJKFHZ5AkTWowPa+ZAQhJSXKcgaZDT2P9Hg0MXzfJbOcKgCZUCGYIXcW+l7k6Pu9V5DPAhyCUFsUwG02DS1EdQ4QR+YKBUMcA4gR8Q2CbFQdMa8fEzluKkow99qL4u8+Pp02e8MFD0tk7pfOeBG3iHAhwAnFwzAGwAsOHBB25A0W/deOb7F968eNa67g1rXzQciyFgHD19DCUXGCiJgkJZiyNjCsXMlGjRFURAtzrovJhr4K0StionQRiRqG3TTYChlA2lrTTlMcHngUh6x2qVqKXyZFYBtnoqMM5haE8mAfAAju3DsQKAAMWRDIZHLbzWb8D1CJrqLXROPyRYfsiMDdkO98ITVizdxYF1dG9cn2/D8c4+e228+toAgiDo2rRl65RC3r7l5ecfrl+3eUN+1fMlwKboLVWwcZeNOsNEc4ajkOHI2RwZm4ioRYOEimbY7SGx1Es/pMNoSbiPHs4KIKQcgvPyuDSGNpEotO9IhwVHCR+RRUUokZqSKbs6WCaHbTFknAC5jIe6rItCvgTbGsPGHorBYhsMYmL9Lge5/EGjJ5/w3qJtuWe1TZq2kxJjaybfdKBv6T4Z71gJnhwd7U1gnG/tnNyyPfDKC4ulytENnYf9x6TOrX57bl3zlLYXCv/6e4q//b0NDgFytgSNARhm1JYkpiMSPZM+EWeS4twRTTGMCLS69NVt2YxzzVso7fXqy6lUOON+HKiyMqIYvd7BIfoOYccG4MuCmlxMCNtykXPG8NBLHq69uRMrFs8avuBDM/pXnNppDpfMz+Wz3U80NztDnIOpJ8m7YbxrAA4IKQqAPfbc5gGnrv0eJxiec+nlt1S2PXP1V+r4nz9x7JK13itb6+eZxM8EwTAMSmAbQoJTSsFZFMcBaHxaS3RQEjYVzyElu0rO0OkJZ+JNECCkEIypgpg85PWhY0pzlYfSHwh7VIY1STgHYUQozXJ3xkRdwYAwkVljECAbIJt1YDkoD5YLa4849Bjrsxcc8+uBtZf+78Kh33Eam/NlYDMjZP6BvoX7fLx7pmqN0d+3DRwWyfp/wo9XNhmMNF0flEpzXt22+Vh39DWDclconMzDWIXD9QUobEu8DCOSzoYhG0wleKkANoFpiFQtk8qSL5BSlQF+IF8+hxcwBIECuZDP6timSWAZVNjjE3Z8SqLsJkVfTMpFUUtb0JKxMsfQMJBxLGQyBM0NFmbPbAimTGt/JJux172+u3jRtX/IB1/59HtRdn0+Z/bEe06+E8e7HuDJ8VrvIBzHadrd1/e9++6/396xfXvQUJ8/rLXJP3zV8z1Yv3kUdVkDzQ028lkDhFKwQGTEWCaFZdKQajAmavBRQmCZFLZN4FjCRGkaEa3wA8D1AdcDXJfD9QJ4PkcQMFGDmxCYlMA0KRyLwrZpaOZkXJk4xVPBNgHbEts8HyBgyGcZ6nMu8jkPu0dz6C1OQUcTfQao/H3KlKnG0ctWuPVNzd/0XHfAdt4d3Hqi411FUSYy2tsaAWAAwD8CwJOrHgNjZEVHc/F9Vt2ss2bNLs/lfhmv9mxCcz0BZ6NYv7UCSilamzJwbAOEcHgeUHED0bpaSnABdCBrc1iWoA1+QFDxhMnS84WSGTAO32dwfQY/ENYZywBAxCSiEsiUyhh4n8PzZK95xpFzfBjUx85eA/lcDg0NFmbNmYGGehOjnv3K2u0tt8yZ4vw1YPyhY5cvP9CX/ICO/3YSvNbY0TMAAKdw7nUP9O9mt93+J3b4opaZza25b9z1wA7YRhZ19m44dABDIyLo3/VdbOmhyDgUDXUmmupNNNRx1OU4chkGk3KMlQ0MlyjKLsFoCSiOBBgr+3BdjpEyQ6ksTJZZhyDnEBTyJhrrTTTWMWQdjg09DCPDATyfoTga4KAZbVh6yCRwMoJdI10o9g//oDU/uPl97/8wbWhooI5lbgT4PYbTeqAv6dti/LeT4LXG1M4mALhHfeZ8KwCnsefVXY/P3EZBec5bfND8fyrkvJMHhykIAmzfei+eXkfRblIYpo26vIn6ujIcs4KmuhKymWHs6itgYLgAi4rApS09AXxPFMoZGPGwY5Ch3jLQXEdASAaNDQ4KeQOTWgK0NY3imZ31OP64pXBsE8Uxhoa8ce+Utsq1Hkas1sxiWLnpD/GgPDh5StuBvoRvy/E/AK8xCOkCgEEAdwDA8NAucGCtbXjtrSXKDFJBafRhuJyBUApqmGCMewcvOfSKcmnkgxl7yHv0ZQ+TCgXMmGmCMYJcvowxg6DgOGCMYWkmQEtLEY89V4fWgmMV6uvu3L7phSts27GyGYJCHoCVxYIFC1GXt1GqcJpz6Gsc2DxjeueBvkTviPE/FGUfjp4tDwME7X29fQ0mHeS//y9g4bQ6tDczeD5BQ0MZT62haM5n4PsM7S0cC7p347f31KO5LkvaOzqGOOevfej9b7/EgXfq+P8Bcgstq25L+AAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QyMjozMDoxMiswMDowMAAFI8kAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMjI6MzA6MTIrMDA6MDBxWJt1AAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 266161000
{'hecke_orbit_code': 135107988854678132, 'n': 1, 'trace_an': 2}
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id: 266161001
{'hecke_orbit_code': 135107988854678132, 'n': 2, 'trace_an': 0}
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id: 266161002
{'hecke_orbit_code': 135107988854678132, 'n': 3, 'trace_an': 0}
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id: 266161003
{'hecke_orbit_code': 135107988854678132, 'n': 4, 'trace_an': 0}
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id: 266161004
{'hecke_orbit_code': 135107988854678132, 'n': 5, 'trace_an': -2}
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id: 266161005
{'hecke_orbit_code': 135107988854678132, 'n': 6, 'trace_an': 0}
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id: 266161006
{'hecke_orbit_code': 135107988854678132, 'n': 7, 'trace_an': 0}
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id: 266161007
{'hecke_orbit_code': 135107988854678132, 'n': 8, 'trace_an': 0}
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id: 266161008
{'hecke_orbit_code': 135107988854678132, 'n': 9, 'trace_an': 0}
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id: 266161009
{'hecke_orbit_code': 135107988854678132, 'n': 10, 'trace_an': 0}
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id: 266161010
{'hecke_orbit_code': 135107988854678132, 'n': 11, 'trace_an': -2}
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id: 266161011
{'hecke_orbit_code': 135107988854678132, 'n': 12, 'trace_an': 0}
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id: 266161012
{'hecke_orbit_code': 135107988854678132, 'n': 13, 'trace_an': 0}
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id: 266161013
{'hecke_orbit_code': 135107988854678132, 'n': 14, 'trace_an': 0}
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id: 266161014
{'hecke_orbit_code': 135107988854678132, 'n': 15, 'trace_an': 0}
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id: 266161015
{'hecke_orbit_code': 135107988854678132, 'n': 16, 'trace_an': 0}
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id: 266161016
{'hecke_orbit_code': 135107988854678132, 'n': 17, 'trace_an': -2}
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id: 266161017
{'hecke_orbit_code': 135107988854678132, 'n': 18, 'trace_an': 0}
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id: 266161018
{'hecke_orbit_code': 135107988854678132, 'n': 19, 'trace_an': 6}
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id: 266161019
{'hecke_orbit_code': 135107988854678132, 'n': 20, 'trace_an': 0}
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id: 266161020
{'hecke_orbit_code': 135107988854678132, 'n': 21, 'trace_an': 0}
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id: 266161021
{'hecke_orbit_code': 135107988854678132, 'n': 22, 'trace_an': 0}
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id: 266161022
{'hecke_orbit_code': 135107988854678132, 'n': 23, 'trace_an': 2}
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id: 266161023
{'hecke_orbit_code': 135107988854678132, 'n': 24, 'trace_an': 0}
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id: 266161024
{'hecke_orbit_code': 135107988854678132, 'n': 25, 'trace_an': 2}
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id: 266161025
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