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mf_newforms • Show schema
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{'Nk2': 7360, 'analytic_conductor': 14.692473971915591, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [23, 1]], 'atkin_lehner_string': '-++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1840, 1, [1151, 1381, 737, 1201], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': [[3, [0, 1]], [7, [1, 1]], [11, [2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915667760, 'hecke_ring_generator_nbound': 1, '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': '1840.2.a.d', 'level': 1840, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 23], 'level_radical': 230, 'minimal_twist': '115.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}-q^{7}-3q^{9}-2q^{11}-2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/1840/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1840.2.a', 'trace_display': [0, 0, -1, -1], 'trace_hash': 193465162561581376, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.970', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.878', 'prec': 17}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [23, -1]], 7, 3], [[[2, 1], [5, 1], [23, -1]], 7, 2], [[[2, 1], [5, 1], [23, 1]], 4, 2], [[[2, -1], [5, -1], [23, 1]], 4, 2], [[[2, -1], [5, 1], [23, -1]], 7, 4], [[[2, 1], [5, -1], [23, -1]], 4, 2], [[[2, 1], [5, -1], [23, 1]], 7, 4], [[[2, -1], [5, 1], [23, 1]], 4, 3]], 'ALdims': [4, 7, 7, 4, 4, 7, 4, 7], 'Nk2': 7360, 'analytic_conductor': 14.692473971915591, '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': [1840, 1, [1151, 1381, 737, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 277, 'dim': 44, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33556272, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5], 'label': '1840.2.a', 'level': 1840, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 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mf_twists_cc • Show schema
Hide schema
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id: 42603543
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667760, 'source_is_minimal': False, 'source_label': '1840.2.a.d.1.1', 'source_level': 1840, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915667760, 'target_is_minimal': False, 'target_label': '1840.2.a.d.1.1', 'target_level': 1840, 'twist_class_label': '115.2.a.a.1.1', 'twist_class_level': 115, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 42603544
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667760, 'source_is_minimal': False, 'source_label': '1840.2.a.d.1.1', 'source_level': 1840, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554547, 'target_is_minimal': True, 'target_label': '115.2.a.a.1.1', 'target_level': 115, 'twist_class_label': '115.2.a.a.1.1', 'twist_class_level': 115, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42603545
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667760, 'source_is_minimal': False, 'source_label': '1840.2.a.d.1.1', 'source_level': 1840, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953603056, 'target_is_minimal': False, 'target_label': '9200.2.a.t.1.1', 'target_level': 9200, 'twist_class_label': '115.2.a.a.1.1', 'twist_class_level': 115, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 42603546
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667760, 'source_is_minimal': False, 'source_label': '1840.2.a.d.1.1', 'source_level': 1840, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071489728, 'target_is_minimal': False, 'target_label': '7360.2.a.q.1.1', 'target_level': 7360, 'twist_class_label': '115.2.a.a.1.1', 'twist_class_level': 115, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42603547
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667760, 'source_is_minimal': False, 'source_label': '1840.2.a.d.1.1', 'source_level': 1840, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189378240, 'target_is_minimal': False, 'target_label': '7360.2.a.n.1.1', 'target_level': 7360, 'twist_class_label': '115.2.a.a.1.1', 'twist_class_level': 115, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 42603548
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667760, 'source_is_minimal': False, 'source_label': '1840.2.a.d.1.1', 'source_level': 1840, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925963, 'target_is_minimal': False, 'target_label': '1035.2.a.b.1.1', 'target_level': 1035, 'twist_class_label': '115.2.a.a.1.1', 'twist_class_level': 115, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 42603549
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667760, 'source_is_minimal': False, 'source_label': '1840.2.a.d.1.1', 'source_level': 1840, 'target_conrey_index': 24, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68753031743, 'target_is_minimal': False, 'target_label': '575.2.b.a.24.1', 'target_level': 575, 'twist_class_label': '115.2.a.a.1.1', 'twist_class_level': 115, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42603550
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667760, 'source_is_minimal': False, 'source_label': '1840.2.a.d.1.1', 'source_level': 1840, 'target_conrey_index': 24, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68753031743, 'target_is_minimal': False, 'target_label': '575.2.b.a.24.2', 'target_level': 575, 'twist_class_label': '115.2.a.a.1.1', 'twist_class_level': 115, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 42603551
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667760, 'source_is_minimal': False, 'source_label': '1840.2.a.d.1.1', 'source_level': 1840, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925503, 'target_is_minimal': False, 'target_label': '575.2.a.b.1.1', 'target_level': 575, 'twist_class_label': '115.2.a.a.1.1', 'twist_class_level': 115, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 42603552
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667760, 'source_is_minimal': False, 'source_label': '1840.2.a.d.1.1', 'source_level': 1840, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679894531, 'target_is_minimal': False, 'target_label': '5635.2.a.j.1.1', 'target_level': 5635, 'twist_class_label': '115.2.a.a.1.1', 'twist_class_level': 115, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 42603553
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667760, 'source_is_minimal': False, 'source_label': '1840.2.a.d.1.1', 'source_level': 1840, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090451511, 'target_is_minimal': False, 'target_label': '5175.2.a.y.1.1', 'target_level': 5175, 'twist_class_label': '115.2.a.a.1.1', 'twist_class_level': 115, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 42603554
{'conductor': 92, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667760, 'source_is_minimal': False, 'source_label': '1840.2.a.d.1.1', 'source_level': 1840, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288298069, 'target_is_minimal': False, 'target_label': '2645.2.a.c.1.1', 'target_level': 2645, 'twist_class_label': '115.2.a.a.1.1', 'twist_class_level': 115, 'twisting_char_label': '92.91', 'twisting_conrey_index': 91, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2244925
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 2}
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id: 2244926
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 3}
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id: 2244927
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 5}
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id: 2244928
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 7}
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id: 2244929
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 11}
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id: 2244930
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 13}
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id: 2244931
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 17}
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id: 2244932
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 19}
-
id: 2244933
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 23}
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id: 2244934
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 29}
-
id: 2244935
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 31}
-
id: 2244936
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 37}
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id: 2244937
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 41}
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id: 2244938
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 43}
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id: 2244939
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 47}
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id: 2244940
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 53}
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id: 2244941
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 59}
-
id: 2244942
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 61}
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id: 2244943
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 67}
-
id: 2244944
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 71}
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id: 2244945
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 73}
-
id: 2244946
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 79}
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id: 2244947
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 83}
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id: 2244948
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 89}
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id: 2244949
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 13510798915667760, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '1840.2.a.d', 'level': 1840, 'portrait': 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hx7+FogrGHDtGF+KmG5G9AdCkaxx8pAsHnKsNQxnDivqHk+m2dh+4aQTXMjNs6N2Tw3Zvsmy87Niit3eNRVk6Mn2tz7pM/DB2IePx6RqB7f/pIOb32Rpa7mOHB8mqNnNKcvJJxLwX1o0XLT1Qv8/LtW2DE/xZkL01xYqbHU8VjuSFZ6Cb1+Qn8EB48tcvBU58rHDpx/6ZGTZy86durc52559XeFd93+8ecaEt/Q7e80gy+vdAhDi1L8yl2PHH7Rz/zGn8t3vPjIi/7FW8/ohZVNLHfaLHUaLHV8ljqapQ4sdxKWOxFLqwnnVuHwkmDD/Cq/+P1L3HxZg5PnZzlzocmZRc35Jcu5xZhTCwkXejHTsyNefG2fF14BvqwTqIDzyzXOLmrOLQsGY4hjQ803NGsJM1MxBjh+Lqbbh12bPJr1MdYKED79oWHn5jFLqxqskyKrfRjHYLEsd0K2bfToDRVCWYQZ06557NwyYnUgOH5GkxjNXFvSqgkCD+JYMBhLzi1Lzi5Zzq/EBMEIvJhbrurzoqsFG9p1llbanDwfcGYRzi/GnF+OOb0Mh5csz79qkV/6/hU2T7c5cW6Wc0t1FlZ8FjuS5dWElW7ESjdhuWdY7ElOdmF1uctv/Mth/K7X1+5Wsz9mvMaVdwvMz1o8glr7uYbKM97+zjL4h37/L3jJrTfyr/7Vv/rlj/7ll//lh/70S5c8dbx70aHTffniawdcvDUhMRprFdY69sZKQAICISxaWHwJZ5bq3H9Icu2eZa7YMaJRA09LfE/h+5pmXdLwJIO+x/5jNb7wsM/xC2O6ccT+k2M2zS3zphevcO0lPZ5/RYdjizGLA0EjGHHkjKXTbXLNxZLVUcLeY4pWQ/PUcbh0q2UUJowSH60jZlqw72SA0gmejNEeDMeSm68YMBxIrr0koTtMOH6mxe7NimYjZHVs2Tg9YKXf5c++DI8eTXj86IhdW5e47vIuM7Mhb7ylx3e/zLJnc4skmubo6SkOn/I4ec5w6kLEqQsJhy8ITqxGPO+yBX7x+3tsmp7m5LlZzi81WFj1WepIVjoJnV7Eaj9hpW9Z7gvODxQr3Zibrljkx75zQdaUuOj8mZO7B8P4BfX27nq9MfPFxx74JP/tA3/6XENm3dvfSQb/049+nJuv3aFu+9qB/+fo8XM/99hTx9W55ZCFkebswHDtrvP8+o8ucP2eBueXZljqNFju1FjueCx3NSs9WOkkrHRjlnsxix04uSLQ9RG3Xr3M97wsZPfGJqv9NheW6yws+yx2BMsdJxFWeobu0NAdWwajmLl2xM5NBhAEnuXUBQ8hA3ZtVOzeatm6ccD5lTGPHWxx46WWRn2FJw/N0mqGhKHH3IxhOIIrd474yJenuXxHzHhsmZ+SRMmQVi3gqWMj6l6T6y+LefxIyPkln21zAbu3wM7NIUpFnFoE37MIYdm1KWamJekNA/oDj+7AY7mrWF6FpY5huZOw2Ek414GlUcLObX2+5+WL3HqFpua1ObvYZnGlxuKqZrkrWOkYVnsRK72E1b5lqQ/neorzqzE3X36O9/7oEpdua7DUmWK5U2MwbuM39iR+Y8svL4eX/lJTnUpe+orvfK6hs+b2dwrgRw7vJwhq9QvnT+984KGn3nHw8Jn/sPfgSUaxZDCC1aFjlDO9mOdffI7//KPLXHdxnQsrMyytNljp1ljueqx0NStd6PQMq72YlV7MctdyviM407cg+rz1JR3eeLPh4i01wrDBSqfGat+n01Os9AW9gWA0toSxJUlASUvgQT2wTLctG2cjtDfi8NmQJw4FmLjJ618Qor1VHto7xUVb4LP3x7zkmoALnSE1rYiTiNkZiCMP7cUsLTV48Q1dPntPi91b4MGDYzwavO5mQyyGPHE44eipGlr6bJrRzDQF9UDg+wIlIDYQRpZRCL2BZbVv6A0MqwPDUt8yTBJ2bR/wxhd2eOuLQjAtllanuLBcd3q7q1npwGovodOPWU3BvTyAs13FQjfh+Zed570/eoGrdtVZWJlmtdeg0w/o9TWdvsCrb8erbf63GzZf9ue7dm0/MRqNhldeecVzDaX89ncG4MeOHGTDhg3+wUMHf/DI4UPvf+TRx8X5hZ4cjAz9kaE3svSGsDqUXBhKzvYibr7kAr/27iVuuKTG4uo0S6tNVroBqz2flZ5mtSfo9CydfsJqL6bTN6z0LRd6grMdw8z0gNc8v8ctV8Ts2qRo1z26vRqBJwFFGEuMERgLgxEgDDOtEQdPW4wNuf3BJuNBnUu2+dx67YDIrHLnw9Ncf6nHwXN9OittXnjtgC8+FLBp1rL3uOWfvqXL3mMBm2YlX3hYceuViuVBlyMnZ7n+spA7nxgSjxvccpXPnh0jhnGfzz+kIBEcPqVpNzRawGAoMVaQGEsUA9KgfUOnb2m2InZsGfOiKwe85saYuWaN88tTLK3WWem6Y7PSFXT60OnFdPoxnX5CZ2BZHkjO9QSLvZgXXL7AL797get211hYnWK116DbD+gOPHoDTW+g6AwEozAwl11+rb3kkkt+fM+eS39vYfFCeNlllz3XkAL+jgA8jiMZhsM3PXTvbZesduP33nPvg15iBOMIBsOYwSihPzL0R5beUNAZCi4MJWc6MbdceYFfefcCN+7xWe1OsbDSotOvsdrzWe1rOj1FZwC9vqU7iOn2E/pDQ2dgWegLFvoQJWOuu3TI5tmE/sDyhheOuWizIU4kWlrCCO54rMaJCzW2zMQ8ebgGpsEV2xU3XG4IagMeOjhgYbHJ1Rc1aU+vcM/jHjddWmNpsMrKSpvNmy3371X8g1f2eWCvZvtGj8V+h5XlWW64csA9TybM1qe5+pI+Fzod7n96mrpu8vzLLZftHIHs89hRwcbZiPMLEXc+5jGKFFJCYiwXbQl5zQtDen3F1hnDDZdCGDZY7jRY7gSs9j26A0WnL+n2oTtI6PYTeoOE7sCwOrAsDyWnu4LOcMytly3wSz+8wvMvdRdHp1enOwjoDTx6Qwfu3lDSHwr6w4QoMlz7vBujMFY/9Y7vftOhZqP+N57vmecaW895JjMO+5h48P1njz/464vn98+eObfKTFsxDAVSWKxR2Py3nQUohEVKi5SaBw5s4mc/rHnLrct87yuX2b0t5NxSm8CvUw98GoFHs67p1SWtocdUU7sLZpiwaWwYji29UcDyQo1TJy1hbDh9LiYILCDwlUVLwWCoEHjEA83zLhLs2WrZuW3AOOlx2wOKfYdmeO2NATdcucIf3GbxRYOLtg14/B7FtmnFfHtATdUJI48LPWjWNNs3CR7dF3LDZXVedv0iv//pIb7X4tUvsHjBgC/dH/LZ+5o8fbTOxVsbXLQlYcNMyO75iGsuSlDKoJUFLI0gYMN0QBh59AY+Tx70XInCUNEfSfpD6I8s/YH77r1hQn9o6Q4tq0NYGCjOr1gaUx1+4vULfOetY667uMnZxTadfo1eDm5FP/1vDseCYegIYDg2fOXO+71Ga/bX5zdsWn7Fy17wLzrdwe9PtRvPKb6eU4CHowHGih8+dezeXzmy74uz40GfeuBjrcLVQAgsCoRbaoQAKVwnjZIWJRN8KXn84AYeOdDk4JkLvOVFfV501YjpVpvlToNmt0Z76NMfaHdyRpLhSDMYa0Zjyyg0hJEliixx4u5h7GMNSCXwtKDmC6ZbgpkWbJ43bN80YH6mw+cegq8+4iHNFK+90eN5V/S46+mIcNTm1ucJOsMhF5aa3HKZYX56QF0HjGLFQjdCGcHzLtM0WmMe3l/jpTdM8cLrejy8X4Gd4sarfH7o25f54qMhX3igyd4TNXZuUGyerTPTajDVgnoAnrYoCcbC3qOCJBFEsSCMYRzhvuM4YTg2jMaGwcgwGBv6Q+iOYaEvudCDsRnxquuXedOLOnzfqw1x3ObcYpNuv0Zv6NMfevSHit5QMRgJBiPBcGwZjQzDceL+22PDucWz/PGf3zY7jpL/9zvf+DLd6w8+3Go+dyB/zgAejpeQMv6h8ye++itnjnxpo4l6NOoeQhiwwmknIREIhHCAl5IU3KCURSuLpwx1T7A4qPPRL2/nS490eck1q7zrVatcs7vP3HSDpdUGvWHAYOilwFbuHgrGkSSKBXHslnqbLhdKWrSGmg+NumG2FbFt44CYPgdPR/zZnTWOnGwyHdS56SrNLdd2uf9Ah9vvbfOCS2vs3DLgI18WKBHQbkWs9scYC0rAhvaAbs/HxHXe9JILfPSzDfacr/HGFwwIoyXufGKOKKlx81UbeeNNXS7d0eFLDw94/GSDx476bJ+VzLYFjUDge+4ilAKEsBgLxliiOL1YI8s4chfyKIRhCL2RYGUsWO6B0COuv3yVd71mlZdclTDXrrPSbdDp1ekNAvojj/6wWAkGY8lwBIP0whmNEoahYTS2jCMwaM4vdPmjP//CxlHIr7zl215sz15Y/p0tG2f/9wD49/2LD/KR/xJw9vCnfkDSf2/3wlPznujRqAWIMMHpEUFK4AghEUIghERJjZQJSol0eTZ4yhJoS10LVkaKpc4MH7ujyX1P9rn1ulXe9epVrt/TYS6pE8cBg1GN/tBjONaEkSKKJXEiSYzAWOGyoMIS+IZGLSbwQ3xvzOmlMZ9+UHLolM/RUzMoE7Bni8+VuxU3XtFFBQs8cbjFtukGV18MmzessNxtc802SWwsn3sgYDyQTDdjXnfziL+5M+LEuRaXX+JxdnXEU0c8dmya4brdC9z1eI97nhKMQ58rds9yxY6AK7b3OHx2mUOn4YF9DQ4eadLQgkBLmoGl5oGUbqWz1l2scQJhDGEi6I8F3ZGgG0FoYowd8fxLu7zrNV1eck3CltmA0WiKpU6NXj+gP/IZDDX9kWIwUk6OjCTDsesbHY0T5/GPHbiHoWEUOkcnMopjpzt84E++svGRgxfeu2G+Eb/ux770B5/7D/ch5n/67y/AFw5/iA17jqPVru+7ec/j73vrCw9MN7w6plFnFAqEdOASgpS1cWwtBUoJtFLpo0GrBE8LfG3wPUvgWRp+wnRN0Bt7rHRn+PhX23z5sRGbZga84+UdrtgxYjTsc/Vuy47NinHkkSRFml9gkdLg6YTj5y1HzwlWh4ZP3dXg9OIMNvSYqSm2zml2bdZcvA2u3tPFyEU++DdNlpeneMEVmqv3dPjSYwIRe2yckTQbMYPIR1oJVqK0T2ckOL8suMo2ePmNPe5+uM7WeZ8XXD3LP/72RX7vsz0e2N+kP/JYWm2xe2udy7cMuPmyHt/10h5nlpf51F0BS4OA42c9Tp/28ZRASrfqGWtJDETGksSGmbmIa68aMB5HXLFjzNtePmbjlGK2FRBFNc4u1BgMfQZjt8oNc2CnWnssGI1xK8E4YRQaxmHiJFBkU5DDKBIMIkHfeJw42WP/2Tvmf/Hdjfd99pe2Rsy9709+5j/+Kb/6b9759w/gjz38G3zkiUAsHJ57+1ceePpDJ88+0Wg2IiSQGBdQOp1tC60tnVSQUqKkRCuBVumjFng6wdcC3zPUPEs9sjRCy1QtYaYuGISSXtjk6Kkmv/Yns2BiRBxz47UDdm8OiWMw1mCtS+JIIZBKoD2f/Sd89h6q0axpWr5kviHYMCfZOKvZukGxa0vC5btWScQS//UTbY6fmOYFl3lccVHCMO5x7xMB03WPuSnLdCukUXdSyBhJZ6RY7luWOgmdfp0XX73Kg3sH7DuhmG7XuPmqad79piV+65Pw8KEm/aFltac5v9xm83yDjTMjds2N+FdvH9BudHj8KOw/KfE8i1LWyTys+5+FOIaLNifcek1MEnlEcYC1DUahx7lFn+HYrWijUOXybRgKRmPBKHSsPQ5dVnY8NoxDwygy6Xs2Z+5hJBhGgl4kWAkF3cjQTHo8+tSx6V9aDD60Mvr38W/8woWPbdv0fvuT7/7xvz8A/6lf/Sj/8Y93q+fveeStf3Hh+B9E/UdqWhnOLCVcsn2AsSnApUHKIA0gPZSyKKlQSqV6W+Jppzl9TzH2JOPQEIQJ48hSjwzjyBCGlnYM48gwjiGMBaNIMk4CoqTGvkNNHtsHibU4aDtt7Enwlav5aAVw9RZo12GqKZlpKeamNRtnYefmMVs2rBLZZf7rJ6Y4fGSKGy5WXLxdsmf7Cl95Kub80hQ37pbMtA01f0ggA6wSxIlEWEuchKz0a5xf8rjhijrPu6zHXQ/X2DQjaNRa3HCZ4SfeusT7Pml46nSL1b5htadYWNHMTzeZadeZaU/RbkRsaEbsuiEk8GI8HaNUghQumLC4iyqKFBcWNFGsiGJFGCnGUfoYSsaRZBxKRqFkHDqLdhQKxqFlHLrjOg4TwjDV9JF7f5Sy9iiCQSTohYKVSNIfx9hwwK4dfZSKOHHm4caNV4//4MG7LzL/7Icv/sT3veZDycaL3/2tD/Bf/M8fZaoZKBPvf9vn7179/S89MKgl8UXYeMR3vGyVX3pPhyu391AyQSqDlBalPJQy7lFaPGXxtMLTFi+U+J5wJ8ETjH1FGDmgR5EljBPnisSlewJxYkkSQ2LcimEMObgzKaQleB4EWlALBI1A0mwophqSmSnBxtmYXZsHtJqrfOLukDufmGV1sc21OxW7tnhcumNEIlb53AMNmp5mw4yi1RjxxGF4+ojmmh2WwVhx3aUR1+6xnDubsLDiMxw1eP1NPb72+JCDpxXNuiTw21xzseGXfmCJO54a8jd3zLPUtezamLDS0Uy3FVNNj1bDo1m31AJD4BsCnaCVk1oyba20FpewMoLYSOJEEMeCKJaEsSCKJOPIOS9hJAgjSxjCOEoII0NYIo5xVL47cA9TcHcjSSeCwThCRn2u37XCL7xnie98SUQUeXS6T9fGBH90al/9H6Hm/uLkvt9Pdlzxj761Ad6uGTkcdL732LHT/33f/uO16XZAJ/KJooC/vtsjHCve9ooeb39Vn5l2Qk8atExSne30sKc1XqQJtGLkOaYZe5LQF4SRcCcnUkQxhJF0DkJc2H5xYkgS5y4kNnVKUrckc2eUdLLH14LAl9QCSbMuaDcs0y3DptkxG2Z6xHaVj31N8nufnWNjrca1OwU7t3hctNWwa8sKn7jXsrxc44rNipk2tBoR549JLqwE+LthHAk2TEmmp+HgUctK13BuscalF9V45Y09Pv3VGnMtCHwfJae5Zo/gPW+8gCcv8Nd3zfD06RqbuhEbp2OmmopWXdGoS+qBJvAh8EBr5zBJAVKUQI67sBMDSSKIE1KgQ5RYwhiiKHGkEBnC7DEyqe2YuTKpBRk7SdKPBN1Y0osM4ShkKujyPa9f4u0v7/OaGy2dbpvhuMZoXGM4OlbDr33I6rqG4E9xPPOtCfDf/8gnSRLzA/c8cOQ/Hz1yoj3d0OjQIoWgKwPGUvG5BzzufarO2ZUl/ul3DZhpx4yDGt1BDa18PO3haQ8/TAg9jR86aRJGLpXuGEc4JkpZKY4hSiBJnJNgjAu4jLFZD2cKbgdwF7gKPO0AUgugUTO06jHTrZgN00PmZ1a5e1/IH91eZ//RaS6a8tizGbZv9tm+CS7f2WUQd7l/b5u68tgwo5huwXRrzMxUjO9rhHAX13Dss9yNWB1YOv2YCys+Oze3eOEVF7j9gQH7T7dpBBGe8hFiij3bFP/w1Ys8//IL/NHtLe5/cpqlvmZjO2a6EdOoSeo1ReAJAk/ieS5WUYrUPnQot7geVmPIgR4nJl3dUmsxNsSJA3ccQRjb4h45V2YUO1IZRIJuLOjFMBrFmHjIXL3Lj3/3Mv/3O/s0Ap9Or84oDBiHAaPQYxR6DDon23jBf53ZcI3/5EN//XvXPP87vvUAvrDUQSn1wx/4vY//yqEjp+ZqnoBUFyoJWgi6wmMoJatjzX/+c4+9h1d400v7vPz6HpvmQ3rdOsNxgO/FBL7HONQEvrP3MoBHkSSM3bIbxamnnZBaf6TMLTGWAtwuSZkyN2jlEia+Z6n5hnotplWLmWmP2TLf5XxnwPs/5fG5B2dZXmlyyQbBzo2CbRt9tm8U7N46QvurfPROzZGTTS7bJJlpSaaaCVKOOb1gCbRECrBWEEaaXRu7PEBCd6BY6VrOL9e5bHuN73p5h7/4ks+x8wGejhDCw9gmUSy5cfcKu97Z5XMPD/jI52Z56FiTbTOC+WZCs5ZQ8wWBJ/A9F6tohQucpchrMizuIjMW57QkDvAZyOPESToHdggTV+sSZsmjWDCMoRdLejEMQ0MyGLN9vsfLbljhzS8d8IabDFo0WFmtMY5cdnUceowjzTjSRLEmHJ6am5nb8d4rbnirisLVD3v+9LcOwJdXOvi+948/9Zk7f+WBh57aaK1Fa0FAySERAk8K+lLSkzU6oeajX6lxx+M9briiyztfPeCNL+gwNx0wHAUMxz6B5xHGHmGk80ApjhVRIoljSZQI4liSJILEiEJrG0GuSmyWEXXJIpUmi3zPEPgJ9SCmVR8zP91nGA350hOWP/vKFPc/Oc2M73HNNsuWWcmmOZ+tGyTbN4VcvG2Fx48N+dTXNjClNBumBO2moN2I6AwSPntvjZbvvruxMBxr3nTrmM/c52piOn3DhRXN9o0t3vKiPvfv67H3oE8ziFFSOJCbBqPQaf1/+MoOl225wEfv6HLP09OcWKmzuS2YqlkavqGmDb4HWgmUJE2Que+dlR+ZVKoZU6xwcQp0RxAQJYIoSYGdCEaxYBAL+gku5glDmvUBb3ntMt/76i43XpawacZjOGrS7fuEkc849Agjd84cKSniRAKWhbNPbzx6YMuv7NzzMjPod3+30fzmN058UwG+vLxKr9dHwPd/4Ytf/U+fve2Lc73uKjVfkZgU3LLQhlqALyGQ0JMeA09xqhtw5r4G9z3R5y+u7fG2Vw553a0jZqd9wnHAOHYHLIo1UQr0OHEHLU4kSVIA3NiUuU1RU5bZkEq6Og6tDb6XEPgR9SCkVR+SMOSLD0v+5MvTPHl0ChEFXDRj2TJtmZ9WbJj12Twv2bohYufmLicXevz23zSJx3W2bxdMtzTtJrQbEcIL6Q6bTLcsQgishSiWzAaK2MT0Ip/eIGGlqzi9UOeqi1v8yHes8t4/DTi+0ESrKL0wNHFcYxRKNs8F3HhJl2sv7vPU8dP82Vfq3P7QNGc6dZqBouVD07P42uIp0NKl84WoVtcZwBp30SVGkFiIE+H880QQJi5JNEwEwwSGsSWOY0w0Zq425PWvWuUdr+rxkmsipuoeYdRkpRMwjnzH0pHnYqMyuGNJmJ6j3rDLyiN3bByF+j/tuezmeGnxzB/W6k0ajW/e/MRvKsAHgyGtVvPN99734G/d9rkvtoeDDq26TrNqroY5EiWAS4tOXDGTrwz1RDBQPoNYc2Fc46/va3LnkwNu/kKff/bdPa7c2WXjtKLd0ISRTxh7xHEB8iQDuJEYK7HWSQKbB5Rpql9ZF8TqmMCP8VRIdxix0I34zU/UOHphhof3TmONz1xdsHHeMj8lmGsr5qY9Ns1JNs/FbNswYG56hc89Ynjo6Wmu3S6YaUlaDUm7YWjWQ4Q3Jgg0Wrm/by0kiWQ41gxHEbER9IaGXt+y3PU4t9Tmlsv7vPCqVT76hRr1ZYWWkQOk1cSJTxi5Hs/56RrP39Pn+Zf0eeBlZzi+IPmj26e5sNrg1FKAryRNT+BnMiwll5zIM6mCY/LYCmIDkRGMExjFEBoLSQxxhFRjts4MuXaXOx83XZnQrmviuEmn54Adp8B2K6xOZaMDdxRJokSm2WPhfrff55EHvzJn0b916eXXr4zHw099MzH5TQP4saOH2bZts/rDP/7TS57ee6A9GHRo1DVx7JY7lSVtEoGKrav1SEAnAk9Z/NhSSwQNJRgqwUAHDBOPpbDO7Q9NcffTQ5rBmH/0hg7b52Iu2jrklqt7aOFaxIRwcsVlJV2ttLUl5sYipEUJ55lbYpAxTx2VPLhP8+n7Wzx1okUYN2hpxYa6ZbZpmWlY54O3NbNTmrlpwebZmK0bhmzZsMKdT4754Kc3smVas6EN7aai3RS0GjH1YMzdBxSjUOM1HaisFYSxpKYV11825L4npl3h0zBhteuxuBpwfnGGH3njeU4tLnHfoxvwJCAiDOQAGoeS/lAz06ox3W7ywssGvOzaAe98xQL7Tho+c3+N+/fVOXCkSSw047FiEClUXvpQDjzTnIA1xMZijcETCVN+SI2IF97QZ/eWEdvnI971ujF1X9Kse4Rhg07PT1dSnRKOyr12d5dr7nEqfeLUGOj0uzzy0Nfa58+fveTVr3u7OnjwYHLppZf+3QH4Q088ytmh8od77/vBTbPmPz8VdWk2AuLYooTzY115q0BKx9gqxkmExKJj8KTAM5YgsdSUoJEIxgZGiccw8RgkNXq9hP/00RlsHLFpw4irdo6Ym4p52yuH7NwYEkUi1dsSSsxNqj+lNAgp+PgddR4/3ERozfEzDU6fb1CrK6YCwXTT0q4Z2jVo1QVTDUW7pZhpaeamYX46ZtPciG0buyR2lY9/rc2w3+TS7ZZ2Q9FqSFp1Q6sW43khn7uvxngg8Ta6btFMojTritffPOSrjxj6Y0l/mNAdaFZ7mnNLDa7c3eJtL+ny8FMNji+3UNIAUaqXPaJEMY5cYqY/0nT6Pq16g2Z9zJXbR7zg8hEnL3Q4dnYV7SU8dkTzF19pIFRaqTk5f9AawIC1RGHCrk0x73jlkPl2wuW7LJvmIIk9xmGLOPZY6XrEkSJKdBoHOUBnAHcxUQnQuQEg0p+Rul4u6D50dJlIjP/zPffeNbj1lrnfO3n8/nDHrhf83QD4k3uPY+X5y2R06v39cw9Jz2tQMxClyQaZMraSFi0hTtk8NgIdO50YJRYvcRow0JZa4mRNaCxhIhgbyTiRhMYjMrDQb/OVxw2WhL+6341swJr0nmXxUotMZBWJEqkUcaSRRuNpSSuA3RssTc/QCAyNABqBoFmXtOpODk21JDNtmJuK2TAzZuuGHgkr/OZf1rjriY3smYOZRsreDUmrHtOohzQbQ+r1BoGSKJlqcJwciCKP0VAwHCf0xsp1LQ2Na5lr+pw6P8WLrxrzE28/z6//hebEaoAQBmsjTGKJYo8wkozGroy1NdQ0az6Neo1G0KAWRLTqITdeGuJ7ETddGvOuVw3QKk6TQAYhbFWUp5LOGIkQksBTgM9orFla0a5uJ8linvQeyyIGSgvXMnBnwM4SSzlz5+ztQO58dcMXvnKv3LJx9P7zJ7Z8bdgdP/nNwOb/NMD/8hOfYPOGdv3+Rw++9fGn9ootM+4/qZVwZa9CpnUlzrGIY4tUFpWASpw2jBPQiet9jLOIPkmj+iyyN6J4bQShkcRWkhhNZAKS1PYq3/IspXC2pJbgKajVLTVtqamEwINAQ8231ANB3Zc06pJGTTuANwXTLcNsO2ZueszG2T5bNy7xwU8bPnL7JnZMK+ZbhnZT0Woomg1o1BNa9YizS4bDZwNqvrugIav0E4xCze7Nhs3zI7ojn+HIpiwuWe1pWvUarcY073rVBY6cPceHPrUNLTUWQ2ISYmOJYs04VAxDVxQ1qEkaI0098KgHCZ2eizF8L3EJMy9BS9coIWWSFra5uytdSWvwrVsJOyatsjQurkkSiTGS2BTxTpyIUoCfPS89xiJ9PwM36c9diXIcOytXSsmurQEXTu8XjyDe6jcvP/z52/5q+Lo3/M81Mv9PA/yyi7S/snL+Z2S89DOzdWSceHgalJSgBUKYvAMnMWktdyJIUnkSG9CJ+5JJlnwwNn1t8/eK50WlnPNyRR4olTU3kAazNg1oDVqS1rSApwSets431oJaIKn5knqgqNcUrbqk1bBMNROmWzGz7THzMwN2blri/gNjPnrHVmZqAZtahnZDOHDXJc2aoVmLaTXG3L8fHtvX4JINNtW9Rdp8OFbcdLnl0p1DHnhymsHYMhwl9Ic6BblHo1anXpvme166zGMHLnDf3s1gFcYkLnCPLXFk83qS4VjTGFnqNUXNNwS+R+AnBNqgdYKnXXZYKZMWsbnqTYRFUOi5Ijh3JcQmc6RMZr+WrNgM2MaBtnhNDuzs7gjMgTxJrcjsubXge5qjp6xc6Cz8P9PzDd8LGr8MhM8ZwEejgQzD4S8cvf1P/8V4cN6fndYkhtxflUagpHTgltYdEGVRaVIhURZt0ufGNdCahPx5kmXcbJZ5s5g0E5clK6y1lDLvlRU3c2uyhI6SacZSUSractm/wFfUAkU9EDTqglbd0m4kTDVjpltj5qaGbN2wwn37h/zC72/ixKlpLp43TDegXVc064pmDZq1hHotwvdGdEauWMxTLv7IbolxDBfFPu16xCA2DNI668EooTeQdOqKRi+gFrS4aHPEL/1gh3/3B5J7927CojDWkCSGOIkJY0MYKUahYhhI6mNFzZcEviXwFYE2eJ7z+7WyaZ1PuqqmMkWk1Zz5LU3t25REbFrLkqSAT0zx6MhIpo+iAHj6PMlZm3x1dkm4gsistUSRe37q3Cl/VxT81I++5/u9wWDwbxuNxt86nf+3Bvho2MWa6Jf3P3nXPz9/7lStUZOo2BLHRb2DSeWEkoJYZUC2GOnAnaTgNtlzIzDGVv6982jBGuu6yNMS0PKdCYCnsjsNLJ1EcTXlThLptBXN05LAdwOAaoEbyVAPLM2aodVIaDciplohs+0hWzesct++Af/u9+bZf2KWXbPOYWnVJc2GdOxdtzRqCY1aRJSE/PEXWkil8KRFicImNDZbwj3+4WtX+PxDIb0wYJACvD9U9PqKTqCp+QGB1+byHTH/4YeW+PnfE9zz5CaMlSTGpdWj2BWajUPDuObKXYNAUPMEge8ym762ecZWK+NkoizKknOAFylPICURXC7BuS1pIJ8BOJ06YPLkGim7k6+4yXrATh9N4uqDXPCc4sEKjhw9Xrvt83f8X9/+xleLldXuz85M/+2SQH9rgJ8/ewRr7QuPHX6kLuwYz3PtJFpSXMkGlIFEgjKCRAqSPD2cgTuTH+49k9dKFO1XDujC1VFkoM4O/MTnKno30zoTSVFMldaRO4BLPE+6+g1fUAvczJNGkNCsO3C3myHT7SEbpjvcv2/AL/zuLE8dn2f7jGCuWZImNU2z5upX6rWYehDieWNOL83gKYGSptRjmq5GiSSOFVtmLHEc0Y1qaaeMYThK6I0k9YGi5nv4Xg1PT3HF9pj/8I8X+De/A/c9vZHESAfwxBLFScrkhnFgqIWSka9yCeZ54OnUuVLS5QJkkXgT6eM6GHdyhTQphMiTQyZNDmXZ4iQpvW8KyZmUgG1Mcb5zHJgCD3EqvcIo5K57HqpfesnuF/7P7DjxtwL4qYOfYqa92vja1+70k2gF3wNp3AFKJMSq9MUSQSLTk6qy146pE03+JavAzmSIzYFuMzmSPX+GzyZFUUTl7EmRg1tJmTZKZPIEah4EvqFes9QDp58b9Yh2I2S6OWR+psNDB0f8/IdneOL4BrZOKzY0DVN1QasmadQUjbqgXnMXh0v1h9y3V9Af+dQU6UWWtuHZItCMYk2zprjl6h73P9VmEDmZMhwnDIaKXqAIfIXv+al+nubKHYZfffcFfvoDcM/ejURGEhmTNksXPZhjXxL4xrG3V9TRa5XdSWVKIeOybqr1QJ4lhWwG8BTwSe68sO7Ka1IJMglkY9cHepKVNhs4v7DK73/kU/5rXv/Gxgf+8DODH/n+b/tfD/B4uB9V2zF9ct/Hf7vhdV468kIkHjJxByqWzh1JDMTSaW5TWraMyg5C9lqsz9olQJsc2EVTMKn2zk+GcAVFQqbgTouMVA5wUGnFoKfB93CdQH5aYBUk1FN50aqPmWoNmWl1efTQmJ//8AyPHdvI5mnNhoZhqg7NmqBZVzTqikbO3gm1IKbVGHHnYz6rnRozM0WaPAOMSbVplCg2zile9bw+dz5oXBdNaEogl9Q8Sc3TeNpH6zpSGq7cYfmVd1/gpz9guWf/RiKjidIKQFf26pg8iGReXehridZpEZYUKJ0dG/LPl12EmVQRWVUaRUJo8m5Kj8aUHvOVtwrucmVnkstRk2LE5jImSmAUxiSLo5fuO3D0d/7Ju9/+ozfccHz1hdft+l8L8JWl80i1/NPdlcPfG40X8LwGFpdAyQAVS4HK5EnmfKhS0GiKKz6TH0kuQ8jZuxJITjJ3ivQsI5drb5lV0BW6O6sY1ApXn6Etnucai2u+oeYn1GsxjVpEszam1RgxO9Xh4QNjfuYD8zx6ZBMbpz02NhKmGjYFd8reNUk9cOxfC2IaQUhsxvTCAKEkXsbguQYXKXulfnHk0fRHrlwgrDGTgXyUMPAdgwe+dDXxOtuA1nLNRZb3/uh5/vV/N9yzbxOR0YwTQZiYlMUFtcgQeBbfc72rOo07tHIlwkrK9PikXfnZY6kwK78wy7HOBLhzEioRUxnceVxli+dFrFUGOjmLR4kjgpNnFqntPfa999/3yOFRGP2b/6UMvnDhNFMzW3c9+LUPX9tbWgXrI4UrWHKsKUnSjGVhKWWBo8jBnZRqkrPRaDYLJm0RiBVMUWQlbXnNzFi7HFRmy23aoaPSYErrtDMoLULKqgdrXpLq5oh6bcxMe8BUs8d9e2N+9oPzPHJkExumNBvqCVM1SysFd73m7MQM3PUgoebHtJshe49Z7ni4iS8lnjJpEFd4FNnyHSWK2GhefmPEJRf3OXyizoYGRZ/jOGEwSllYK7T28oSZEJard8GvvmeRf/MBw9ee2sAoqrtkWGxppDXcgYcDuc5WL5P3tkqV5CuckqIEcFECOWv0SgFyWwV4XqFYrLzrrcwFu1MCd4kA03yIsdCsKXpLZ3jogQeu/dl/9Z5dJ06cOr5z5/ZvPsA7q2cJau2Lzhy/9zdGg9U3j8Yjar6zAD0sEtdXKY1EyeyDl+wkazFJJkfEmiUt84dt7mlPuCRr3JKUuSfBLSxSFbUvSqbzU1Lm9rXB8wyBZwj8mJofUwtCGrUxs1MDVnoDvvok/OqfbObxQ/PMp+CerltadUGzJnKv3DkvxrG37wBeD8aEScJoWKOm3EUmhahU8mWJFBdoaqfl9ZhxaBlGogRwg+8n+J7G86SbKiC9HOAIuG634Fd/dIX/9Kcx9+yb40ynzagpmU4srdhSSycOBJ5Nvf/MSbE5e2dSJQN4/nnTD13Gea4Q05OSraoFuKuS0lVzlsBeAXoB8MwOzuVL+u+kFAyHAy4srrz59i/dk9x68/P+r+MnzhzbtXPrNxfgYe8wJqy9YLjy5Fuj/l6aNS+3lowEaYVzSiaAbcpWkhK5JHGgFunSliVsqlKkDPDsEJdVYXYS3LiHjL2LbvxiOJBbZTxt0jETSQ7uwE/BPdtnYWXIr/xxg0/du4HF/gwbpiQbaim4a053N9LAsh5IGoFNGdxp71oQAiFfftRnJfKZC6jUYyOqK1SSuDqMdqB55Q0D7tsf0osCpvKOdYM/drXqvnYA18o1ZAvpEjRYuGKH5Nf/WZfP3Dfkl393E6cWZxhOa6Z9QSs2NGIIIjd62VduoJGXBZpS5EFw9lgO1MsXphB5r0h+fmBCQpaBXYqfTAn85TxGkd+oBqjZo/v7irsfPMDU7Ka3Kr/1x/3B4Ng3lcGTqIfUzUtXzn7pJ+P+g0y1kkq1XiURYEQOYMfcMpcntqy1c1BnEsQWNtQka5dlSXqgM2bJ0s2ZC6AygCvrynF11tvp+jt9L8H3Ymp+ROBHtOpDtB5w52MJv/PZNp++ayOhabOxLZivOVniLMDMJ1fpXaTMXWbvCK3H3P30NINQs6WRfZ5JBs+CbFdKWvMUL7xySGwcwIeRcF3rWef62LjgUKezYVJ7T6TJdYtgflrwva/o0wrO8LufHfLVp+c4F9UZ1CTt2NLU1oFcp3GIsmlcYlOQZ8dQFLXjEiQFi0/uKJhLlWxEBZPavNw9VNSeZ4yerBOcVmKxEsGNY4/P3vEUV151+U++880vemS1Ozg4/Q3MPfy6AI+HBzl/4rN4/vTWwerel9lkiXpQIzFxWrmXpXLdo7IFcxtTliQFe1fkSKa1SZMJFWCXrIeyfZUPByrNK0yTKVJmo91MWvOdglu5WozAi/D9iJoX0miM8P0Bf3K75tf+cCOHF2bxghqbW4LZIKEdWJoBNNMO+3rgsp21NCHk6leSdCVw8mSxm9APfXyl8KXNA0xKXyW7sLPajTD2qHsjNk8PWR20GEYiHbfmYgXPS1KbT6V2p3IArwSurvLxzS/pc9NVC/zqH434yOc2sBw3GQQeTU/S1q4GJ9DgK/JmCJ0lffI5NCLPAot8Xg0luVIWK2WgU1mBja1KzUKbT9xLZkMO9NyWzF4rlhc63PPA3pclcbx1calz8IGnT3LzVTv+5wBubcLmnS+9aLDy+Ac7g0fwPDA2RmfMXAa0ldhSOtfaqkSxpqhvyILH/CAgSpJETEiTDNy2YJM0+ybLAJcWJd3oiYK5kxTkMb52kiTwxwTekGPnYz70mSaf/NocR87P0G54zNZgJkhoBTZNvWfglim4ZZ4UqqXaO/DdhdNujvnE3ZqDx+vU0glcebsYBcrzMQ7W6fAo1lyxC779ph6/c9sc/Yamnc4eCcI0blAGrWU6to4SyL3SyXKrws55yc/+gwHX7j7FBz49y5FzUyzHdQaepqkEjRTovrTuwkldpnz1y45rZh/i9HmR6bRrffKMmLLSiRJAJy3FvIvIllfxjL1LzlrpIkiswKD53N37ufH5V33wTd/24jcsLne/rlR5VoBbGwGa1Qv3bu8vPbXHJksEvocxcSo3ZKkYpwxqmY9DK1wSkQM6+z1bZm8rchYoWCGjbVvRgRmw3WM2StmB27kmGXsneDp2nTs6JgjG+HpMLwl5/8d8fvczmzm9NI1RdWanFLO+Zco3NFLmbuTpe5nWqaTSJPXOc3D7Lns5jkIOngrohwEzQeriZEmnzJXIsrC2VJMSadpNze7tISoY0QtbDH1BPbKMM4DrJE3UKOdjy6wEeL3gVbFhasCPvHnAW19+jt/9TJcPfXyOxWGToa5R04qGFtSVJYitY3PppIqWRXlDub2wwuSsI1cmHRagEktl4C0RWQbyAtyiAL5xoE7S17EVGBSrC13ue3Dvng2tYPubXnPjsV4/odV85q2mnhXgyfgEymtvCHw+ttK9x2vULdaM0zoIhTICa9MWsRKDG2uqgM80up0AdvqFCsYW2HU/iS3ZgTYHdkWeyLRKTiUO4DpBqwTfi6j5Ib4X0hmF3P245E9ub/Pxr80xSlr4vs+cL5j2DU3f0ggsDb8Ady2QBIEkSKWJSwylzkQKcN9zmc+jZy1ffahBGHkETbsmwMxuRTrbkUEYKTxP86qbenz0i332n2oyrLnRDGPP4sfgRQYvNCglnW8tnS2bD/ehOJ6JkcRG0gg0m6aH/OvvGXDlzjEfub3Fg3unWBg2GSkfz9PUtKAuIcgGLGX2qnSN4XnBmigd/5TJJ4uzyoyeEdSkI5a9fiamNmVQG0FsXQtdaCG2FmkUn/zCI953vPr6j505v/S85dX+wt+awc8ub5Pnzj/2gsOHPzU1oy9w/R6DrzRxrImNwhjXIqZSJrc5o8squCdkSX7PgJ1KlDKDVwp/XI+OY/I8pWzyck+nuy1aJQ7gKsnliNYRnX7EXU8Kfv+2Nrc/PMVyp4Ws12jVFdOepe0bGp6l4VvqPilrO+auB5Kar6j5gppPWqFnUnAbAs/pb6XHHDgFpzs1l1hJ9W01cVLUz7g+SAfy2EjCULOpLbh0x5AnTsQMIo9xOuPbD3HgU9lk3SxRA3KiTiO7eDIbMkpcffg7XjXkdTev8KVHevzB59o8uLfNUq9BR/r0fY2vBL4UBNI1gmvpdqlTorhIlUjLftdh8DX1K5NMXiI0QynwtIKENMmTSpHYQGQhsg7gLm9iIImY8Ubs2tRj396PT125680vuPqy593GswwPelaALy6eCBaX1X//t78VNY3Ywj/59nP8xFv7RMonin2SFODWyHT2SAHwMrgrz02mQ0sALx2QCi9UpImtFOg7WWJSzW1QMnED8TM3Q0Ys9GLufEjz2btafOqrU1zoNhG1Gl7Lo61hynOdPHWPVHZA3RfpXaYlp6nu9gVBxt4ZwHWM78fU/BBrI778cMDxs3XmZwWeNKmOFUWjb4ntyq5TkiiGY49dmwSvumHAJ+8N6Ucew0hQ81y/qp9OlipWKZX71W6OOsVxtW5lzRsVjPPb68GYd7xiyGtuWuKvvtbjM3c1uPPxFhc6DYbCZ+hrtKfQ6UgPT0o8YVOpZVGIkjSs2ofrkHnFBSuYW+QBaFJi7Di/Z6B2g1GdtkkgGUMy5Ae+Y5kffH3C7NTp5lRT/feVxVNXAsO/FcAP7N/ParfPjBpy75FZ/vDTI152Q5+bLxsyHBoSqzFGpYxdADxv+k0lTBnklZMArndynZrASkBZArYQJrUDDSIFuNYJvo6o1SJG44T9p+HYGcWffWGK2x5sc2GlCV4N3fZoKEnLs7S0oe5Z6h7UPAfumudmEroyU1m6i/TnNgW5yUHue6497fAZwxNHA/C8dJm3pRS9qKCgHIS5emlBnLhxztfsHnPV9j77TjcY1gSNWBBElrEitfZMyt6Zm5JZkIVWyX321Io0RqXTB9xkqXp9zA+8fsybblnl8w/1+fMvNjh2psa+0w3C1YA40Iy0Rio31VcBOn3MmDyXLhTB/5pb7qYUoDaUZAnkcsRYSLBu0q+1YBN3NwmYCMYhN1/R5Qe/vc8V22a47wmf2uAYSl94Ngg/M8AXzp8W43D8k5/5mz+ff+OtCTZY5fgpw/5zihfcPKaOJQxTgFuVdnyUO9rLwJalgFKkoKb0OAHvLFLPNZ9LajhJYtJdHhKCwE1SjZOEc0vwha9oDp+qc8f9dU6v1Dl8pglBgGpoalrR1JamNs5F8Nzg/JrnxrU5EGd3md5VCnBSzZ2C20sIPMfe7sIKOboAe4818GTVHswlCkU9eO4oZE6KSfsaY4+rdg25dOOAJ4/EDGKPViQYa/BjNxNQlQAupUBIWWFymLTfRB7MZn2UUeIx9nza9ZB/+NoxL7m2y+mVLl9+wOfIyYDPP9zgzFKNZOhhpCbyFUJKt1KkXfmSNOMJuWxZD+SVQJNyljpzW9J3c2CbFNxx8TxMoJNw+ZaILfMx9x9IuP1+Rb1xYP6d7/yenzx56vR7d2zftm749owA7174EsYk37tn8/HmCy9f4TtefpbHjyaYSHD7nTV2zidcsivEtwITSYxVKVusA/K0z49ScqhoL5sMLG0pYi9YO5ciKsELEqLEcuSk4Ikjii/c3+DJoz5PH63THbs5eHg+qu0RKEFDQUMb6iUfONBZnUZWNuvqwoNUlvi+wvdlegHYQnt7icssek7n1/wIa0LOL0vGNkBriS8tumSzTRB4DvKk5DglqR8u0GyYDZFqRD/yGGjhnI6oKBjTylQykFKUoths2BFFTJS1lmWDkbxE5eMnBmOfzTMhOzdF3HjxmGE45B8d7fDkMZ8v3FfjiaM1jpyoEcUKAoWVCoQkkaVsUJ6kWEerVMR55gNnj6b0OHE3CUQGjWHPRSE75yOEZ/mZ/9bm0UNt+gPYOXOuSePe79VKvfd/iMF/5QOf5fZHl9Srr7hXXHvJCZr1IYE/5NBpj5/5/6Yhgot2xVxzRcRrbxrzyutDsDGeZ6k3SXW2BCOIIwf4LJCsMHj5krcO0KTzSzxtQRiEtEShZTByjH7slORPbw8YRIpHn65x6GTAYt9nnPigfVAeqq3wpaCuoKEsNYUbZ6bSwiPlWNv3hEt6lMHtSfxUlgQ+BD6pa+JS5p42+F6cZkQj6rWQCysJX7inRacXMDMl0KkXnxV9iWdiNlMKCI1kPFbMzyled8uIzz845ESnydCTTqZo8GKLF2WedTaOI3F2IeVZJzL/G8bqSslEkkj8RJFoRey5sQ9R5Dkr1Yto+hEvuSbmhVeOecvLRhw4KXlsr8cwVHzkCw2OnvNASAZDTRKqrHwTqzOAT1hG5fRtBeCANYjEIkwmTQz1ZoLnGYQ1vPKGMa+9aczVl4fs3pVADD/9X6d49KBEy4jFFYt66Gnx//7zPepfLP5ZHMx/zzcGcCFgsTf3/n/ym+a6d758QLue8MWHpvnLO+qcW3SJheMdyz1PWD72hYQNszHWWG64LOQdrx7lvXYbpgzXXxPSrLmTmW0uZVlvNRP5cJ7OQPDY45qlrqRek9y/1+NvvlZjFClGkeLsOR8jNJH1MMIDrRGBRkuJrwQ1aamlwA6UJVDW1YDr1PPVBXP7WV9mDm6V9miKnL19z+D7WYFWkrO370coFfKVRxSfvLeF8rWz2yr6+5kZPPPCkyRzPBSjkcebbh3yqbu7fOTLU/TjGs1Uh3uZDo+ypIzNu4WEkDnA3J+SJa1fru5MRztox+SeVsRao+PEAV0lKOUG6c/UYm69POaWyyOsGPO2VwwYRW6c219/LeCBvT71QLDYVTz2pE93IFOVJHhGUZ7vPOFaA6+/PmJ+Osnb197x6iHXXxphDWyYNcxOWzQiLRuwvO8nO7zy+ogvPNSh5sNPvmPxuqt2X/t+a8WPfEMM3ul0abdb7V//wCcvP3C8pf75+3YjbcgotoQGCNL6EyxjYznfMZxfdcvMgRMN/uYr7kq0iWVqxvCC60JadVcHvG56snypp67Dal/x4BM+3Y5CaulmoljtmElo3FxgDVIjpcSTwoFZWgJp8KUDgq/AV8WMPgdyUTQ8aNcIkDUel8HtGD4tq/UyBk9K95hAR1gbcnrRJxzXCKYkfpr2VmlVXiWLKSjIq2Sd5t3pRhFGHjMtxY75EF+MGMYBw1hQ124IZlZDkiW0lCyXt8r8b7m/kSXbTJE9NSZtPimkURwnad5ApXPZY6I4QUUul6BVgpQx2+dNumIYrtw5IrRDpDZ0OoIHn9CsDlwl6aQgX2Mh2KwU1vDC6yKmZgw2dit7Xblj5z67wsSS0BTSdrZp+MdvjPkHr+sRRx7DcE4tLnP5lkvf3h4Met1Go/XsAD92ehFPr7z34aeOvmIwGBHqJmFSd7MdMCU/z4LKggL3OraGTrYEKUN31XL2K83SV1wP4GX9lp4cITDZlgukNadCFUGOlKmVlYE6TTtL0o1bM9+49KjTTnpFuvUeObhdW5fCT8Hta/ISU8fgKYtrg59mRz0vIggiTi4a/ujzTdA+nhRFgJnLE7GGwcv+cDYk1IHNDdYJI493vW7IX9055OnzLfqJRyN2m9K6KkBbdOKoLCdQDvay0sVMCslSgVd2N3ktjNYKL3HzUrwU6EoWSTNXN54+FyYdHJSghUXYhPmG4dtebEAkqcwERLZ/xjrnPK8xEmAUSaTJ5rHEkSSialIUOZLsO8m0UM1nNBqDPfiKYefEe62Nf+zrMvhv/eEXUFL69z99nsRAUwmkUERWYU058s3OVLbsmInX7gJIvPLvrofvjN0ygFeDFyFl3oKmBHjCpZUD4aoFPelea0laU5F2j2eFRJrSHBTSndmKrvoC4DKXLYFv85Y23zelwTkxXsrevo6QMuT4OcFCt4bQmkBSkSey/LVKp7ssHSrAS52OMPaYa4/ZtXnIvnNjholmlECQCLzE4sWpDo/JnaUiha4qnQoZHzkLN2sqECVpZNCJIVESpbPty1VarOa2lVGyuAtp0nF8Jm1UNgjc7Bshbe56ZUDPHLD1AL4GuHl8NpkMLIG8FJjHiXYrjjhE5+wn/fXyPWsAvu/ASWdnhUPq2kkRT6RZJZma8Ii8kKZgI/clbEWGfD1ZQtqVUyqsFyJtnsg8Vzdm2RPuc2hp8xqP7Hn+Xkr2RSkoeYOtr4QDewXc0j36GdCz4DMFd9b9o00uUTzt9KnvR8REfObuOucX6nhTCr9cw1F2UJhQpOXUdalYLUv6jMZugu0bX9Tn7sdHdOMaA62px4YwTacrWRREZQVnbshS9peyQLMoPXXWYTpTxUKi3N/URhArgU5kuoudq+WJU6AXyTSTJ9ikNKXEW/pclsGd2rz5XjHPcP5LhXZQBXLl/XLSMC3DtkamnVEJKjm27mpRAfivfujTNJv1F3/6s3ffhEkIFFgsiQQ/66lD5CnVSfM+05aZ3/msuM7uWbJAgMoehUVDbrWpNGXs5psUGjebdaiygZ6pPCkDO5+DonD9iOsBPAs4M92tM1liU71drSX3vQjfCznXMTx8qA7adyOgpc3T8zmDU2XxjLkKH7jclypzTzyKPG64ZMzc9JDOSoNBrGgo8GL3XVTiBiipqAxwHMjzPyQnKjVF2jeZ1g4pQ2IEnhEkSpIoQ6IEcQrycvFaVg4hM5CXQJ2VTAhMCnLSkuYsE10k7SrFGJX6lbVsXnz2cplHUeCXF/NhqTX1TbsuueXF0fLNd3mz37c+wK2xROPo26LYXh9FETVfu3puC0bavOvGgbrcrpRWiVEQtlnnehKpfVI2k7KrPMuKFeCwOYNPlnDqrDYirQHPSj1dc3HWqeJkicq7VwpgZ823jr1Tza3J9XZmCTrGLsDt5dWJEYKIT38t4O4nW8hA40vh5m/nFYTl+SzlOuripOaj0XIWl2n5g2I48rjl6iHf/pIeH/p0izAJ6CeSWmIZx6QrV7nqz6RyzkxcUM/E5GC0LDqwUnAnSqKUcYwuZTpawpRKkcs1QLYAeSXbnDF5tkiXZKpYS+blkXuFKsjyJlQli822pCllx20INrl+MEi+zRhx17oMfujIKWamm6/7wz//4j8YrCzSCly/ZbnKK28/omR1kVUEZhKlsvqsGalWnruRgTsDgCyBQlLUPJRHG2TM7bYgyV6TMjh5G1aFxdNuGE9Vwe3GKUwwd9qz6aftbZ7OGg7i0j0iJOLPv9wmsQEqz16WA8yirzFzNioanIl2PSPddKgkCzY1Ao93vHLAH39mzKqJGCY1honAi8lZXEqLjEVedObswsn1UxbnKyt4yrS/Tkc5qBTk2qKMkytuzJ6rYHTZY5mXJhcWZbm6syhjzptScqAXUmUtwKtrexXka1l8ksGtrXFhoY8N7D/YctG33dFbPfX51vT2KsCjKGI0Ci8JR/09JuzRrvtuRkW+hGZ9dqUSyPTTVbQ4z34TosTkJXmSA32iPDPX4hOaMwN9ebaHUqLQ4mnFXWXYTQpsrUThpOR2oOu4d43JNmXuIsDUJfYOvJCHD0kOnqlhlYeSEl8a9GSdRkmAT7oo2b3c3lf41Q7kUeyxZ2vEVRf3ufdAnUj5DGNBTYKXWHQsUvmWduHEqQ5HOrlQ+ZMlBiyN5yhaxTJ3xdW7ZDMkVSr9CnBntUA2LRPImJx89RAlcCOyiVnrs/d6t0plaYXF1wI8SSSxEYxHEbWZ8Z4kCS9Jkvjzaxi8s7pCEo0gGdGqOQkihBugaUS5vNGmjE1FkuQf7Fk+ds7cZSafBHoJ3Cqv+S5st0KyCNc9LwpwuyBT5N3iOge3rAC8PPzHdduTAzvPVubMneBrl9hxXUERloi/+HKDpaU6ItDOdy9fhJM1KAU5VSzCrPm2XMede9PG7W0zPyt5+6t6PHyozTipMVA+9cRp8aycVaUz2PNSVkzqiZejoVI2OXcjbOkCK41aMxJlipnu2XOZb6ueanCZ7XeUSRNZNEdMMvhE00qR7ltbaFfBlK0yela/U05eRZGiP5KsdmJWVlaIo1H+73OAf/ozn0Fpxdlzy9RrmlEE2hawlbbQ2PljJUiAr8ffmf9fyJOJxzKgyyxeGS9WMLYsM7gSJRbP5IpE6SrAfZ0OAPKyrQPTDKe2eHkq3qTPk8pdK9e58/Rx+NjtLcbSR0mVZi+rF+JkBnPNspyfQCZ0eKrFE0WcaIJE8/bXjvj92wY8fqROpDwGUuInJnWPBDKxpeNkXXuZKK+nJv1b1X2LykyeGNC5hehGW6u0JEAlthjWmc9lEfkFHU/ocXc+y8VylJg8A/mzY6Wiy20B9IpUMeV55D4HDx7m0JEFyhaHBjh5aoHt2+Yb//rff3D3yYXzmPTnWZAnJBOd0yL/w88E7ckTKsTk87Xa+5klisiBMzkOWZYYOwsys6lNWmebvKbaW02AO0vfe1ljsnEzQ/IWsaynM07vEcoLOXha0wt9UDqVJ3aiPHbywq0ekOpAowkvPO3GKRI/mqYnuHzbiMcPhiQmYGh8aomr2dapBlfCbeTqEksZWxqyILM46UUSJetw1/lgU/deNjBVG9IOIos0xYSAbLpWknX35wZAEVzmgefE+c7QsqZhIsv9rMMCZclSLtbL3Cdwmd356R5bt83vfv5Lf7LxHd/5A4O5jVscwE14nM7ihddef9nUT99zzwBPifxqk5Ksz7TEOgV15xdaic0nA8pJ9s5+JnAXTxkIBbCLPkZVYkVVGaqZgZyiRlqVQJ0/T5M8itQLd+B2AC6GAnlleVJmb5X2dfohyz3D//eXLZaGNUTgOXkibWVVKQbnPLvmrEwTMAUrGSPz1H0ca9oNzY9/V48vPdxmaewTSs1QSvy0h7IY+ZAyeLmeXpi8jNZiUnAbLJKqsyJSBrd5kJ6BXUmRMriTREnuopDLlEKHF+2EhUzJAs/CKqwcm9Iqtz7Ai+NVAbzNMGppN2IQI7rx5p++68GDd9lk8Fc5gz/45GNMNT0eP3SCC92YDS0fXxfW3Xog/rrR5CSgy68n2K3Q4KIAuZyUKNXBNDmwpUCqYvyYKoFaS4lOJYnOAZ5pbpMHlZ42Obg9ndVfVNnbUxG+H/JnX/Z46nAdpIeUkiArjS1Zm/ke8emXfMZqQgo2L0YmFCCPjUw3efK4Zs+AN7+ky+/fVsPogKH0CaTIkz5KinyLRgegKpOLMpNXlvuiJsYoUNatCsam8yWzKWEGknx+iigAXnoU6Qa/QlblSe6slIiNCuC/sdsk7jIyldJZvFr1WOjso7MMSjgdrgEe2NekXvc5cioAI0oNvWtTzeUr6esCu+SWuLezwny7ZqBMxTPOA0tRsHnOkF8P4LIAuCrVUOu0LsUjlyKeKtwSrzQcqNDcjr097aZWrXQMf/2VFoudAGqpeyJKwdgzSBSEqJ5IWxzHNbZd3tMqMUnmpmhm2orveMWAT909YqkfECrNMJGpPSlS96Z07mTBlhmwrS26fkzO5kVvpM6cFZU+T8deG+lGX2fHvQxyke6cl0vJVJ641bmsx8WEXBFVgAuLsM8Od1ui+Owica6cm5alPcl1uwWtWYNJ3C/qR584wKaNsxfd9sX7f+Jri2eZaxUTUbORB8C6LPQM2MaW3APLxMkuAb16F+tLlOxzVIBdnf1d7nBxw92pgjvb2SBjblVi7jUMno2bKEZOaOUyl0ePCQ4cr2EIEFLnzblF9WA5fhAlV6P48uValBzklLJy+fB4WbSbJRqs5opdIXu2jFjaV8cmvmPxxMkUXXJxCvYsF3pl9UKysHNtyua28MmNLIbvlGMbZdxFYySp9i7is0rvqbQII9JZKpkmFxNSRUzgweYvJsRCBVdrSTQNpi2ESKxtkJztsKU28xMbtr3w0aULB45pkyQMh6PNEvO6fmeJqUZQLDXPoCPFun9x7c8ntXjVGiyaccsgr8oTUXImRCnYLADtGJx0FHDZBy/f0y2tVRncJZCn+9V7aWloxt4qfa11hFIRn7m3xcHFOviFPPFK1mXlgmXtuIg1jJSzZzngzDKaVS0ehpqL50PeeMuAB55ugPGIE6fFvSTN7iZVqVQwZ9mSS0FubWVWTf5cps9luqrI7O6OfZKuGFKkrG6yFdbmxFQkfMrPM8YVJXxkskVUcPOM8ErBXDUsRD5rPIoDuv0u89t5nYnHm01ijuksOPE9t/Gp57svOJlx5Ov9cdb+TsZca3T3BKiz15MBWgZosQ6wczZXotSEWwJ3Op+w2LaDtcDWxYCgfMSbNinIYydPVES9EXLvfsVffaXJcORDQ6OlwBNVaTL5+cvfeV2AM6G/JyzDsi8exZqpluYtLx9x290D7t/vY5sewyTAF+QXmsr/fqGDS2tpDvJyzsIFn+kFphybJ9LpcVNi7SyoN2lwKY0o6W9RCnSrMVShu4u4QKQMnAF9kjTFmifFi4obk10gwh3LMPQYRTLdE0igAy/EU2PqfkKz7miovN/kepFu+a8KUXVOyu/nbL0G4JMSpTrRtAguRQ6afF6eKu3eoERam1KAuwB5VjZr0boYoazTTZi0qgLdy9na3ZVyAabvh0Rhwm33NHj6RAM8DyFVCqp0bkgpuBSyelLLq1jpvJS83bSmpzwGz2bb9sncE08STRhqrtwZ8/oX9XnsWJ1x7JNIj6FR+AkTnyXzwplgcPdoJz4LKrvYDEa5GZPWgpUCq0DaQo/nK6pMt67Jzo0pVg05CfDJuIQJ4D9DpnM9chAlUOYd/Sk59IeKTtew2osYjyL004/+IY2a4PiRmMRqfO2SOpNFJOtcSGveX+t1rx2/ux5zV0GdMXY5wCx2ICikSckqzBk7A3gxOTWXKClzO8a2OVPr/LF47qXBpVYRgR/y5HHB5+9uMBj60PSQIqscpGQPrpPFLH3P8tHKalEyn7U6SH4i4VMqwAojj1Yr5PW3jvnUnSMeOxKA9hkZiZ9qcWXcFjJlaSAScnlAMpFBVIWToxWFdJGOzbNVJQvyjXVgl6ZItAlTdlPSc24KZp/McawB+ATon4nBy+9N4j5zheqB4q7772L1qw+4RNinvuTGDoSRS4RkuvEZl4wJxD8jwLMPkn9wUbmC12VxWQJ7WXPnIHd6u5zNVCqtMEwrCl07V/pcl+eDT4A7vXvZFNq0wF+r2N11hOdFxDbh03fV+eqTdahpkK6h2SuV8FZKY8v38ot1bpWZ2mTlrOTNyEk2/7EE9PHI42XXDHjjiwc8dbxGHHtYoRgKjZeQfyaRFCxefIT1mbw8xF6pjLkdm7vXwpVsyLKb5UBuykFmyuD50M4JcFcCzgrILeUdMMQ3BOpCv+cKQjji2DkXc5FyX0w3ApUyYYKJRTFFdJ0/xtd5P2ftCcYunrsXsgzwUltXeWeBCrArUqWcpi/d1QS4Vemui01QM0B7JVBnzolzTNyjUhG+F/HoMcnHvtwCfJAeQqi8i0ilG6mWs65lR6gQdGICYFSK0wrmLmlwK9yOGCod/ZDvE6+xVvOOVw75wj0jHjzsJglERjFIRFrwlYIuyYBTqgOpAMStHigqQM9+qlLQG5nu55MFxZn2limbC/eYn0NTGtgpSxd/xbgoJElxvJ4p0FxPvkzq8eJzGzRS+Vhr0L4nkNJ1R4wr3U5iLfE8SxBQOYAlMFc1eGnK6oTuLqSKSJMFhfWUATyfk1cGedqaVmw25XZ2KAbgF+CusHbpMWuszaSKUjGeFxMlMXfcX+eJQ3XwPJAuuPSFLU2OLQdWYk1gJdY5eIVNlwFdlFwNqlo8bWUzKnVUEs049Lh6z4iXvcCx+DBxLD4WPiMDOhFF4JdkdmGqVZPSRUaxa92kdakkWGXdzh0Wl/20AmEFVjgZm0uVUlBZsHd6Xk35wi/NdV8nD+KO0jpgXg+LpcOaH2dRNI+ItCFBj2P3AcI4vWqlKMkJ+wzL65pQcx39nVlCIpcqhTTJlqqqY1LdI2ai/kSQ772T716cNd9WGh6KrUuUmgB3aSh+7p6oBKVLAE8liq8jDp4V/MFtLcaRBw0vlSfkrWmqvEtwfuEWK1lFr0zebBXoZZlS3hzA2PW0uKYZSL7/9QM+/dUm+0+7iy8xikGiXJVhkiZ/EE5/J6JwK0oric2AXgK4tIUWl6lGl8ZipTtHVgoHcFOKlTImN+VYap2VrQToskdfJsFqAmgNt65FY/533HkIPIPSCdZa9Le96S2bnnjqwM/ddde9zDRFniHMduZ9lgtn4ioqPklZqlT2ecnZuixJyuxNCeQFW08WWclS7YfK2bsEbJkFl1VwZ7P9Cr2dPpem0N5pcBnamE98ucmjB+uu3UdolHCZS53WYJebi8syhcrJe5ZbRYOLUklyNoraOGBXQC4xRhOOPG64dMh3vbLP+/7EZ2g0GE0kJEPjYgRpUjJJClnIhLOSOSh5YZG1KXu7VUVZsKn3bW0B/gzc0qZkZKurWCZZqgBf66aIEnbK1mpBlMVl+GxYzFy3wLPMtAZcdc1NP7dxy6Xv0WdPn5hOwt4bAh1T8308L70qEXkF4TP9ibUBQElL5aAWledFAqDsnkzUoJSBU6kDtxXtnQO9JElUSXurfKeH0kZUyk5IkqxSMMnB7emIA2ckH/1SAzd/xbF33rmf/X1BZbywLH3vcqApyi9yWVLVvVmxVbFJQGmjgAzYVmISRaJSLZ5ovudVAz55R4O9pzyQIVZIRomHJq0XyY51mromyRI/GXOXpJN1ry1uNlb22WR6EUoL0jrZkoFYWvc3rEn9cZMGqJXVuQr2daVJ+b11cDXBC6XPXPx7V4cjWVwxnF8YvWEUnZ3WDT9humHZNOsR+BopRf7V8/0prX3WaygDb/mqq+qscjQ9IUvKOlZWn1dYXNhScFl6njO2zVlcTYDbTWQ16aOzA5Vyy5hKZYmSMSpl8ETF/M1dTfYeLLS3FNJ533kHzTMwFJOv156iygnK9DclNl+nqF8b4WpTZJHCDyPNlZeMedOL+xz+aECYKBCaRGiGQqCT1L4jC3QzR0WUPoUtQuBUL1krUDYrFXXSJGfz7C5skeIXrmdXWtccIw2VRE8Z7GUgrwF7GdRfR5pUjlcpOB6FgtWepn3BMogS9NyMRlrNxlmNkLq022yxX3w5IVEBdiXorGqnqh00+QXXJgLWb26osnb2OmPtDOwZc+dAV2UmL3S3yoJIWZImshiar1SC50UcOav4b59oM5Ie2QStoms+q9Mp1UCXJYn4OmemxDzFCJnUzcibEEq1KaXUfbk+JTGaOPEIkpgfe2ufv7yjweEzGlSUShWPoRCoTJ6kejwPNidAnnnzFtDZBZe+J20qUbApa2eeuKmwuU3/jpECYYvVY62ZkAK/BOhJe7p8+NY4JROVmEm6DXi25+Z4nDDfsVhl0Y3AEtct89PWjWML3dYZYSRykJdnoKyl7qqGqman1gku0iq39RiwDGwxwdpZIqUKblNIFFllcF3xtzOdXdbfpbt0LO7pkG5o+NCn2py+EIDSqTUoU3liK753/rz83SssVU10PSMT5Scrazwo92hmKXyZ3/NmCKlIYs22DWPe/eYev/oHPp3ITT2yVjI2ytmGSck0SASFbViAvPh/9xOVIimd31Q8ysLxkdIWDG5L5y7V3zZn8GcIOEurvcmAXMbQswF8AtxRbAgjdx8MI/qDhHrToDfORNRVyLgzZjCWdPsSkK7wLDsM+bI0Gd0Wh6kcIGRMVl56MnBPgmGSuTNgF6xtS8GmzQPLrPFVqSLI1NKitEkZ3eTSxMkRU5IqGWPH+aNWETqI+PinAz74F23GxnPyRKhcnuRNxROWWEV355KscoqekcUzXBVWYRn0WcrebeGRZTfzFL5xW4HXdMyPvK3PgeM+v/s3TouDIhGSkXG9mzIhZ/CiACs7WYUELduVDtSFZLE2ZXNRFIo50nGlrraS+HEyJq9LT/FgyiRXwYyo4mdyMZzQeOV9fhJjCSNDf5jQGyYsdxK2rFrwLfrYhR412eHyXYus9mc5crpJfyQL4EpSn11U8hSTgcCk7121gdaPptcW5tgJiWJLQWa6RXd5y0BVFDspZUpSJQNzicllUR2Y6+780c0aXF6Bv/xSg5VxBm4HcE867a1FVZ5UVp3MLmP9Y1RhbFuA25ZWx0pV3+TWi2aiTlxKlFEYo4kTzZSf8NZXD/jkXQ2WegpkBEYR4fT4ZHVh9ZJ7ZiZ3eaAiKZTVp2TBpk1ZPAd06pNnuxRXZWhaKmvdamJkeYC+XRdL6zF4hckpxgn2hoaj5+D0iuXWlwzZuW2AvvcpzXQt5srNCyRG0R0EDEeaOEk/ZKbbcsRP2DqlxyxjlX9QuRbsawKyctuTKHR2ARxb0d7Ffphrg8psOE0B7qQSYGZBZrbPjS6xt9eI+fRXatz/RB1T0t6uqSGTJ9V6k7w1a3IVE1RXtGck8ZQ9S1ZheRvscjNEeVxCYiXKFr54nHhoE/PCa0K+/eYBf/QZH1QIQmKFYGw0Sgi3BUm5Aq806aCiyUs+uMp6JDL7MKudkaVCMekK9CrMnVak2hIGTEZiGVvb7GdFCr9MkhWiKOGuEuvh+nDrNUWzkVBvD9kSLHPj5T2ef2UD/Y++bcDDew3/7vdmmQoa7JwxzDRjfF/mqfJ1//jEB1lPpkwCO78IpC2kygRjCzHB3qIK7MJFSV8ri05HjEmZOibSprq6JEkyx0SWJIp07kngRRw+IfmDT7c41/PdftfSDXpXgmLHhol4YY3uLmnu9dh7DQNRsHfVFZgYdJNtwVjpunf757hHt/3JpmbCD3x7n7ueCDh8XoKIAIVBMhKytIkUlMtoReUqLGRS/v95NjM9D2U2F+55BuZMtmQrsftZNvvd/X1TXknyGC37HKXniAmwp/8ulct5VamEoKG4eLvkLZtGaL3CgTOSx47W0fc8FfDUwRZnzswhZgJ6HtR9V2QjdMHU61WBrQfo8u9ngEZQWiKrujtbuvIDn9dXl5hbZYCfAHk+I3vyeZJr7zyhk40DVjFKJujUFvT9iHFi+O0/a/PVh+uut01qp72ldF07opi/kn/WbGUpX8zrMHkZ5xMyciKDWbgWxR7v5fLZchmtazczmaOSGGKpUbHmZTeGvOcdXX7ht33GsXSNqEYSp66KNKL02WwKopJ7YF1LGqXP516LUmyQdtenSSAXYIr8AsiDzvyitxNOy9qAsoyfQpvbSizn5E2h562wbmVSbieOdkMy32oz1YxozWhGJkGfPNVk1Btx5RbBTNvSakjnhZf+8LoBVRns67xf/pCTxe8FC5YH+6zD3qX95+V68kTavNvbbZttShKlNPY3093pjOs8uJQxnh/z5Qc9PvnVBuPQg7rOtXfO3nlguzZzOWl/lZdVd1+/6bgypSAFdiENiuIrq7Iqw2qteGIk0jipkgE9jjX1RsxbXzbk9q8O+cKDytmGSBCSSGiG2Sqafsqiki9la1kq5S2tMs4izECdfk4JKv1+2eusWSYDenZ+rRApc5eCXcm65GgzVVDC1brKAOe7WwtJAp2+4ujZOnV/not2T7Gp3URvmBbYSLBpVtGsa7c/jSfT3kaRsid5E6sU1atPloFe+bB2HUCvZXFR1ttlb1mWHItM/+b7qaep8jy5kwG5ALZWE0BXBbh1Cm7fi1jtWz59V4P9Z2tOmghXEisy7S0oTZCya8CdfzeKg15d8p/95rxwkVty1Xuxt+ja4UBF+l5KhTQJ0miiseayzRHf/pI+9+/16YRp+tU4PR6iyPaBkKTeeKWMtlhzLC65k1+Q0gV0Km1pK9g8kyppwkekNeQ50AXlERI5i9uC4XMQfwMEmklb0hn7MhGMI2DghgApfGpTPu3ER/u+oF6TzLQ19ZquzBfRai17r5EqlQ80Ad7Kz92ByNg9K1KqsLfIgsoC2AW4Mx+8CC5lPpjdVhi7ElBmiZyyiyJdp7wh4Q8/U+eDn2hhhXa+d4W9KbS3XOdzTyy35MehVP32LOxdqeRjAtQ5k69tZcv3JDUGk0iMdL64koYo8ZDK8CNvGXDojMcHP6mJ4gLkBsFYSJTJBkmk4C63tuWgTnUFbhHI4S/SlH7G5qlcsELkY0akyKRKMWKiLC2Kla8IerPYoGBs97nWc+ZkvpKkDG4hjl0OByvZNJYEkUBPNSUmVGyY0Witikae9YKq0pKSy4/1rq78vWqWr8Lg5aCy9F7mcWfMXszES73vCcdEZuBWE/JkYs96le494zR4hOdHHDon+eQdTfp9D+pqLXvnNd+l1UUUCZ78O7P2eSVA+roMXgJ9SbKU55YYk9V7lIAuM6BLjHRaXEpNFCW0mjFvefmA275W59DZNKngBlSTCMEwTd4LAcKk4LYF2G0OapFbcaqE+8JJKXIkRtp0xrsoyZMq0DNgy4lVPj92OcZE5edZrJD9jhW4cREiHeEWwzj9fFFsWFpNQCXojbM+vlB0Zi2xscSJyG2q9aRHZYDLurpofdDLTHOJSQa0FXki8tl3hXuSgztjblEezJ45J6ay3YYsyRIpU8ckZXKtY8aR4fb7mnzpkbRaUHoO4BPsnRV5KSGoBMO5XKumn3Mr9eurkzKhV4FeuhuTZg8zJyXdisTpblPIFCNJhEQlEiMU0Vjz6utDXv3CISc/6zE2MkWGdNs7ohkJXMUhRUCXGdhZ6kfly1DmqKS14qLkQQtRkL1159SKNPCsAL3IqJpc8hazcoTAlfWWcJQxeUaMIFJgZyrQkhUGGmOJExgMQ/ojaMUKvXnzttW637st7pvvvLAU0x8r4iRtnSqdhIrY/4aBbddn7xzMlJavDPQlxs6BnQG92GWg6pxU9bfK0+9J6XmMlK5TR/oxdz7o82u/N0VideGcSIUQ0u0DJIq0fJXBy47P+uxdAfezAX0i2TOZsi/LFUM29SotxhKFo5Jrcum8cWE0cWzw/YSf+cEu+09p7nxAYnyRQtZ9gcgohpQFlS3JknU0ee6Fp6tt9nnTgDLT4RnD5hOKc0YvyY3MJ59ogqgSaOaglJNABR6LS89irSVOLP2hYWWgsap5246d21fV5VfV+0dPnTo8CnmPrwSxcWFHOXVemeaayYvJNHr5/SwYUyVdXarfLoLFQlMXlYFlC7CUyCkFlHlB1TOAuyxVdCWh43otTy0Lfu0PprjrkabblEe6djSkh5aCuoRAkm5yVW0uXntPG6DzITnVYUQqbfeSaqJhuqTri9eidNHbtcc1I4PSHEAxKfXKP7MwPxcTaMv9j/usDkvBVBpmZlPEi4pDhx5RAf43crWWLoTscilJr1SQTNQ0rTOxGCg2qZq0T1NpVGrQKEqL3QZbw7Fh5zYQ5tQP7Nv/6H79+P4GUQLzbcOezSZ3L6yoypT8600GmV+HufMDT/nErBNgVrbFqEoTuY7mznYYWPeuyoFlWgqbPk/8hD/41BR/9ZUmtqZAKIdOoRFSVvoti/7GZ+mYL7FPTjNrz/kaD9xOvC4Dwj2vdttPdvhkW8rYlLmtNUWNipBIo0iERg4T3vqKIU8f8XjvhzVhEFdsMGs8xqTJvCy/njgT22ILUKapdEua3UyHxGc4sZlsSc+1TXV2ZUFIz62lFGBmGEmyjyTyi3MSZ9mFlyd9yscvPW7NuuLSbZrtmyXj0KJvuixACEGcRMTxGE8WS2/luhXFtbnWm6y2bMk1AWZ58mi2vFclSRnwFbBnDC9SgJe0d4XBZVJyUsrgTpCl2pMvPBDwe59tMkrSKfgiswbTrKWwFe29bmq+DHSoXMwVuVIB+/rsZ9PgzuaL7YRNiF1TQmtlKbMpS86KUK4wS6bFWdKQGE3gGX7wjX3uecznC484uzDzxpECYzVj49rR8iKSSeswRWoupYRAkUmTEsizpoeS5s5+J8tAisqxFLn3nWvxCYmSE8SaIfprmURJy+FTAScv+Bhj0We7QxILTc8yV7e5yZ5ftKX/UJnJ1wSb67K5rYC5mtwp6XFZbGQkK0t01lxgCqBXdLipeuCT7C2TIsDUEYMx/PLvTHHkdIDVxW7JFe2dSaQKsCcAzTpgzg9bebmbPBPVszK5gUB1SS4XX5X1+NraFCPTikNZZnGFSAxCaGRouHhbxL/9oQ73/FRAb5R+GSPzz5WgGWUnP0s5mgLkVgImBbUld1jy1V6S7wlsRabDbSnJU139ioxmpssnRgWWA00yV6X089IRLZw/S2Qsm+od5mYgjkFbsRGLxDBAiOW8oKbM2JPgLnu+5VFck++VmwHKM6MLNi+N3l1XopiSD17axi5l85y5K65JaXfe1PPWOiJO4Lc+3uKRfTXnecuMuQvnxBNVWaJElbUr1unExU3GPqIYurkeX69h8gnnpGiAyIKnDMx2bbWhcAyeB51GOpAnEiPSe5JKFWO44YqIH//uDr/xZ9OEScrikEeFCYqxybR4mmsvgTyXKKKU5RRug15bZnMJwhTMLdMps3mWU1DJcuaYyVzKUva3TJYZANdEBukbNm3Q2bJpjt3bm4zGBv2ed70BP2hy9tQTPPHQZwnjBsbaKqDXvaImH8tLSznhsx6wWQPoAvB2QqZU92cs2DspdHk5qVO5p4FlLeGL9wX87sdbdIae8wBTzxuhEEKkzkmRtSyX8pZ1eGF1rjODsBKWifx15YSsw9pr8F4BuqWcACpYO50Km0mSchJIOBsxkQppjatXiRXtmuGH3zbgoacCbr9XQSNOmTr9hNKZDCOymKIAucWVxpLbls7zTmNVV9abSRhTsHQmX/Jg+BmAviaGyy35grnXEG2Gy5IbtdINmdl0M1fccB2dTh9dC2L8WkLgj7E2xJhmad9DnhHoleWifBVSBnUZ7EUwWbYExaQsKUmSQqYUO+w6gCdVv1s6K1Dm+6q7wFLKGKlj9h3T/LePtTm05LsRWKnf7R5lwd4lR6gC8vXkSUWaiLXHan0KL9bUiVqUgsWLxEreCMF6afyJIUFZIZY1+aayIpMqwiKkRkaWPbMxP/b2HsfOaQ6eFlhdFlgCpEeSgpwJkGdoUjnSUr8bUhYXeaCZ1SLlLF6SLmWgV0o/WAv2LNmTLiD5/+W4yxKtwrlQSCenhHKJDH3qQoNGs87eo22eOtrk4m0CTxiUmpAftvgQRWePXXPlIcj3uKwAXJaBXsiTCnOnUkWlMqRg8pLuViZ9PZnMKYCuVIKUMX4Qc64j+OUPt/nklxtYTxXp+FSarMfeqnQBrnVOqhf2ZFKnfLIKHV4FfIW1J8Cevbe2JqWswzNAlwPQrPPHMbgU2fM0+EwMMQZPOlelM5b89K8rzq8KCMp0K7DonMkLeZJeaNljytpKgjWZfKHww0VRbJUHmdK5JbbU4GLzepQqwMsEmgeh+eG0+YvcwUrnU16+M+CKHQFbZj3avo+uBR6NWuPcdEt/fvf2mdcp0cXTJf38DCwkyo9UwZyxeCZFComyPshzcE8GlGU2Fym4s+BSZGztMpUydU3cc1drEmL4m7ubfPGBRlprklmCMmXwjL2LXYPL8wbLGnFNWWxJi1M+MRMHLAe/Xec4lmtRyoCm8IytKar0ypWGMnVT8r3bhUCINPGTOitSSoxV6XsSYV3FYaAtr715xJteNOCPb5OEsXBp2+zDS7B4xFYwSlsXrSjLlLImdyObbcrsxXXiCrJkqSpRpro8exSkoLfluvD8esrZeY2KmDy+whWFjRKD0DP0R/LzUtXOxckI9b73/SY//A9vWp1qJqt1f/x9o8F5PE/mfY4yc5Mm0uYVW0+Uf+7+aJaYKazAUiVgViFYqitZ+7psBdoKuMvMXe6I1ym4tY5JpOFTX63z7z8wxdFzQdrEUCR0kBohBYGEmnSD7HU6Bi6bLb52uFBmHxaD+fMptwKklOTbqojqkH43qUtOJMTKx7ac0CkFtOUyhvz9kn0pbZqYK+o0Jn93UgJgLLPthCsviTl5QXHwhHYJn/xqLK7WzAEpxl9M/s7klTyJRJFx7uSitbbho/Qaiv0yJ8fLmcrdpm190B9FbN22C+W3/+WDjx647/Wveanbo2c8jokTSZLEBF6C9lSq/NJZ4XltSvFH3fcxa4PMUtq9rMkrEmW9wFJM7IGeyRRVuCayJEUycMtSQJlZgp6XcHRR8rufaLL/cAAtlUsSl9hx2juTJnmfJSXQZAAqM3f5LrNjMJn9W3u+i9fFQrtessextplI+BQuiswzftX0vRRu/3YpbO6Ni5zZZYpFgxEKYZ03Ho0tV+yJ+MG39njgCZ9jC6WlKg86nQyJEYyECy5JR7hZU65DKXR5XqNSVT0uXS/dz4RdxzJ0RFy8b4s4rxJIli+IfMVz7lUYQxwbTBKRxDGQbkK1cctVKF1HEhP1DyJkNDGXQ1T+g/mSTLVGYHJ32wrQJyzBHNwli7BsA4o8uDQUbkpWOFWSJfl7KXurhOWe4H1/3OaOR2pFlWCWsUzBrSTpDsXlMciFxFKlE7CeLbge8Cct8G/0Vu6ur7BZ5URmksUBKpcpogT+UqZTCusaDIw71kaotOHAkZcRhmRgeMX1Y/7Zu7r8h9+ZZmWYATvVHkakINfEUuQOSgZyjAMyGeBTssg+Y2nPq3yuuBWuDCSbsTJ5DG0K9Fwel59PHJdipIZL1Vur2LN7J7fefC3d3jC7RmFmbhObt11xeyBP/9rstKBRC6kFMb5XbhooyQhV1EpUylnXvZtSLUnGwBPSJJMgquyWTHTlrKkOzJ7HlYTOSFp++xNNPvzxFr3Ic4VUGXOnrokQbsxw5pxUiqooDuhk9rLC1OuCuTrn+htB+mR3fQ7k7Gdlt6VkFxYuStlCnJxM68pps/a2bICnscUenC0N73lbjx95a4+6icEkYLPHCEwMNsYaS2xhbGBsBFF6j60gMrhZ5lYQZ9uBWzeRK3udATGx2XbhgqQsNczae/7vStuMG5P+NxKIjRsaOwoF3RFE1Nl7dPHXrr/uitu3bdtcALzZ3s6JR//vgS9PH52ZiphqDqkHMVobyrpallhXlmVH2bfOa0dM6WKo2n65HKm0lhWMXbYAZQZolaT/LkvkVJlbyhg8w9OHPf709gbdKN0gkwzYme8tEaTSJL/bQtemWcx1M5VlHVtePifep/RvvhGklzc2rViGbi3Mmbl6EZSaknNQy+rrfNRE9p7Cpu1txiqsUcSRoqUt73xtnysvHSOTOAd1FexJAXILoYEoBXecAjtOgRvb8r736a5xtgTQ/FHkP68APc/WTurtifcNRIlgEAmWBoJu7PP08dWjL3/nfxxcsntbIVEA9Pz34PsNHnv8s9D/ClvmJGHkUthFmCCKmgGqGrtad1JIEteTWXVQCllS6O4i8WOK92U1sJSilKWcSMVrL+HxIx4//qszPHEwwHqykCU5g8uSLWjzQT6TOzWsZw2uJ1MqiZ1SIFayl74xuWKrT6u++KRd6AIr50Q44EpbSBYjXIBrrHRLvbUYK9PfcROyhHHeeIIFYRGh5bpLIt7/06u85z8KnjiUBicy+zCiWE5SuZJJBL9sH2YtbalEyVZFW5IwaZa/eLSFPs/dlEmZkh1VsU45g4FBBK2ZHv/ou67g1S96LYPRgFd89OeqAL/Q28J0u8Hf3LWJZlLjba90IwnyATQlcK/NWlbtv2d6nid5ZFl/lzxvUYC6/FzJBJF536oAtkwTOtoz9Kzkv3+iyaN7AxJVYm1R1JtAyRasgLrqCGWsPDl3cM1YiArYi5PwLOUn68qTCsZLWcy8T7PyfpnZJ2rGrRtnbEzq2gg3mdZkehyLETKNkaTT48aSYNDCcsOVY/7JW/r8zG949GIBHuRFJAbyg2MUiRCEWRubEU5gl7S3yp0Tm27HWXjjVhRZzEzuZxesIB0pUroQ8tWxVBuV/XslwdeG198w5Idep5jaOouJ/fy45gCfbfk06sGhlz1v7vDymUv2XFjqIoQkNu6/VN6xKwsk8+HvlMFQDSyrgCYH9JogM/W2RSnQVFl2MmVvmdaeSJGgRIwSCdpLGBj43U82+dgXm4wzME8wN8JZdHlB1TOwd6U+YpKxRQHsajJH5OBei+yvJ08m2bsEDKjocAP5KOMyoxeSxabgljmrCysQaY2KsNKNXbDWPTdp0GndsFVfWN7+6gF7j2t+9xMt+hHugJkUbdmj42kSI4tAMk3VG9JmmfTYUgF24aTY7LtMgF2Igv2zgFOWDmV2TvI6emkJPMuwdxFPHNl5+EVbG4eGYXFUs3Iydu3cRrT6xc+/6Eb1kVtuVAgR0ht6jNMOH5NZRxm4y5q8rK0zVi6Pd5i0/koBqFST2cii5FWWrcESuHMHRcf0QvjwXzX5jx9uc2HJy2u7y7Um7i5K7G3XZCvXzGwpOSoZo6ybsp9g7crPxLODO0N1udAqf6/yUqSMXg0wKyn7bJY4pZ8bUXFWqrpcVbYqdCPgFJvnDD/3Qx3+8Vt6tILYRXM2KenxyD3aBKzBGKfHRwZC4zR5ZCBOA8zYOo3ugtCyLk9fp/csAM3molf3Dq2udtmmY4EHrUAQRjEXBk0OnfM/8jsfvePzc/Nb1zI4wNzMGL8pP3P/g/Gbjx6rX98INO26IfCT1BorSZOS1Vc8L0kTWX5tCo1d1tuiyFKKygWQ6fCkYg9m4M76K2XN8lefafArH2pzbtkDX63D3tWMpdu8tTrAvuJ5Z4CeZO6Sz11Jx5d4Wky++T94m7Riy1IFJpm7NCQzzXa6vWlSaZICW9jCExciY23Sx0yuOBbHaKLQsmUm4ed+uMtSV/KRT7egltLtGiZ3N4MkAmymyfO6ccfmKi3hqMiUtNxWpl/MafBUduCA7mRW5reT90Q79hb4HjRrkh1b6kxv5NFO5H8mSZLKMVXlF//h1z6GUc87cepc4wWjETfWfEvgp1m8LDNZHqNWYe+JUQ9l10SZQuMqw2S2sgC3WRNYrgduKRN0zXDotOZXf3eKR/bVoJZ53BOlsDKtN5Gu5CLr2Mn2dl+vHW2y0cHtyT6xZ1DldbFZlsh+lmrgfGMtWXoseg1KGcnSf7t8UUmqsilrSMlreSh1oq/trspwKNPIrZKnyP5NvpynNR7GMjVlqNcs9zzusbwiq0hZU1Um8pXGpD/IA8LiF0vPJ1mg/HPyi7n8t/LPm50nJfA1NALBtk11Lt/Z+nQ9Oflb//TdP1T5L+uJv8Qrb92OEJITJw6ThJ1qrYgs3JG1jQrlFH5Jj5cSN9UalJKcyQPKJGd2UbIIC3Cnd99w+Izm/3n/NF9+qOYaKCted1WaaEE+BkLLtVp7vWE+643LWLeykKwrXFRO31rHhepJtxNsnWroCpNXHsvJNpv73pk7ItIAc72iLIGTCMLINEkkEQa3shrpQG4tiVVg3AVgRpZXPX/EL/14h59//xRHzvpuCYQ8AZQN3nFXkRs5Ett0+29TuFUZe2fNEUrgtia0FGxvsxY3m+vxdHkAmY5so7AIbWo1jkLDck/Ti7di3MzvZwf4857/SqRU4WjUZXlhJd0danSNUwAAL5RJREFUeGKa6wR7V63BSSA7ibL290zlAsgfRQnYMpl4HaM8w7ELmn/336f42O0NQpFuTp+n4csgd0ugFuU673W23xZ2jSRhHXDmAC79TtkOfFZ1Uv7hROFVBvjsBK4pFs9KaHNHpVonTgb6SmazaISQxmlzI0QOaGcrpoA3pVawVLLEBmo65h2vGZAY+PnfmuL4hdRZyYCXgTtLU6KdyWIEYRo4kvZ2GsDgJtxanM2JKGU9M3cEgVnvAOVOjTv2sbDIWACGTRs38aZve00Yp+n5ZwV4ozlPo9n8qe3bd15FePwVmB6eJp8WVclQTtp/FX1d1dqTjooo+915St4xt3NTyomdrIgq4fiCx8/81yk+/oUGoUx3fhXr3csZy9Lw+pR8Jj3vwucuBZsl5E763xVQT9L23+I2ietyXfjatH0KRWvzNLgoOyopu+f6u6LDyyCXaZ23LUSGUHlDcRxbPJ3wztcP0Qp+9r9Oc/yCTzqHuXoRGlLz2h17gyTEsawnBV7luxRsrXJ3xebeuGTiu6fVh+VVDiAxhnq9wUUX7f7KRbu2/1S/319zXOXkG81WiwNP3d6tN2r7W00Sl7J3uwHnuyZIw+TEqXVT9CIDbZHdzJoSijLYpAJumYG75IFLGSNVwpllxc/91hQfv30dcK+xBd1B9GS1S2c99s7AXK7kg0kpMuF/l45Z8dxWQf8/gO7JAHPSFy/edDq3nMXM5I6hOkTfTjgplTmHJpuWVWyNkqX0bZrpNFYRxxKdwNtfM+Tf/3iHLXNRntksZzmrd7cfubXORQnT9P7YZJnPzD0RxfNyxtOSb75VTtHHiXNnosQVVo1DiKyXBLX6/o994vPdVqv19QGe3cJx98cT6o8LIfF0gu/FeLoYSzwJ6Oo4tVJNiSplIidrS2QBbikTlEhK7yUoGaWOiSHxBB/6VIuPfa5BqMqA1hOPJXCLtRnLSd1d1dUFQNcbD1H2v9fT18WAdvE/iu9qNnNNUqfqe5fT+rklyFoGL3f9FE0SDtS2tOePq1kROcgTq0pWosIkEp1Y3vH6AT/85j46SQr70JZS++sA3VpLbFwNS2ghtMKl+SftxInUfVK6CBJL/jtRDOMYwlggpGR+rv34arf34890bP9/7X15uF1Vffa71p7OeM+dxyQ3NxM3EwRCQgIkyGwRClXU2vLRUapSPxVrK9r6UZ+vgrbYWmut9qFah8fyaRARrUiVKYBKmEJIGELmkNzkJnc+wx7W+v5Ya+291j7nZoBAwHY9z7n77PGcu8+7fvtd729YDQG+YPHFGBnjkZ0d5LlshGKuhowbwLGjuMB8WrdOHDL6Nj2vUosCJIliooe9UkuTAVUQlcUAm+DeR7K4/d4catSSplYHtGa9kVCTZF4dDdDQga7K+SJRJDTQ6g4fZZR1rq0DWh1QFyZ7LODWDjRoimbVzUGn7IpGfIoGbgbDascaeWrwmSyTYCxhwSW4lTVnAuQe43j3xWVcuLoCErFEG1cgb/hisUc2kECvcQKfEwTc1MmTGBbTcivgh4zAjwiqAcFohaAaWVh5Wj93qB+987cuaXh/7elu/BnLVyKKyrfv3PLggqw1mgfPoVpzwNSoW1dK9EFjrILoSznQ1FUTog8yE6tNdOXEZiA2cPf6DP78iyVs2e7JhOEGwI7XE2pi1Q0sTUeOWQ6CG4BOMGtOhZfmLYbrPgXqo4I75caspyck3pi45hvEp6gMdiNBmRtLZvBxAExq4CBgICBIFBYxkONgzBIDXwIQzsEjYMmcAJ//8Dg+ZgE/Xp8TfNwQm1XXtFLbRLHmkItqFREAR+Yb2OIj45kjKBHxKyobSAwl5ZIBEwFBSHwsHejFRRddBM91MV2bFuD5ppn86//vP/6xVjv9A8MvH8hfvUbcZEIaOXjUUguSqnPwsPgYomne8bZYGhRUhVoC3Hc9lMUnvtSELTskuOucOCY1IVQOKqHNzKD4N9KgPgLdaKSqoP6lN5J6w3GExtG4B3DzRDUogyEhJmBPtmlSIpSighjQ8QBTG4AKmiLGhoxz4dIHACregwr5kDKOSAHWBxb2B/jsn46DEuDuB3OaVDjdP0Ml4MV7xkgckyLKXYhxEpc3X8S38Liop6V5lUHE0/bqc0fx++84a6ytpfBPlp2d9lZPC3AAmD3rTIyPj2PTxq3YMzSC1qYAjh0aqgmlTMalpKU/LeaEpsGtLHoU7yPEBDds4K71AtzPbpsO3DSx3KAgkne7pL78g17yIZ0CdkSw65hNSYgNggc1tB87D+epnye21tr+JC5FgD32FBrWPNHExUzEaWuuogyZ6eWUrkUiP4RI4EMmSwjUJ1Ey8IElAwE+c/04OAd+NK0lt8wlT34rzglCKgbMEQccIlLjmIzR55BTF1Jxg6kMwvJsoKPAsHygF4vnLR7LObu/QzKD097bIwJ8bn9n7dDQ1Pvedu7M7+ac4bxjR5p1TiUKaxY8lvqI7uQxwU0UD48lQQ4iKQpsgh8/ksGNX2zC5h2u4BtpcCNlvWk61kQlMGgxJzCtdx0lMQaMKTCnwQ4z8UH1AHP16BBX7uc6eoIEuIInINHDwQ0rnnD0RFFJArF4yoprYNesOmdEFuKkyf9AhUYOChBuIYorDnMQn2HpQIDPfnAcjAP/+UjWtOSciUcDtcQXUoYofk8BZklQS2VIdiM5vZ+4f/LzhYbOUQuBySqwb3zO1MvD3vvmtc6oHen+HhHgeWecdSyY/Vg+F47f89NH8qsHA5TyjiwMpNOOJAtHhbXqlpzo9CS21up94tAhlINbBD/5RQYf+0ITtmx3ZXyJZqljQFMD3JQkDh1dDqyP804n8CaDzXTEYFzvJAY7May8gnIM+Ol4S2pbioVoO0hsrtOhtOagUwO33hmYdgmZx0mQAN3QyFWNQ8nFJfFN6Iq09iqMkUgDwZj6lzjgR1g8O8Df/u9xcE5w76MZRPH/LJHOABDBsGNwS7VbB3tECWoQ3JzHPVpcjMvPDzlFoRBgxbIqLr9s9XhL++zHdu0ZZThCo0famSu2w8s2DW98Kbzap2uC/cOuTFuT1MKIItR166hhpSkaZ9/IQSQJ5VJcj1OCn2/wcMPnm7Blpw7uNC3RebewOKZDR69tkko70603GltyE+T122Lspo7Ttx9v46lXvF3bWOfghKZ5I8n+0esXJi5+TVFhmi7eQF0R8mEy8Ww8oxun4FxGIXKprvgEi/oD/P1HxvCWFVVYdbq4UlIaKC4qJU6qLUxKh75UVkLIqUk4EEhlpTMX4drLlgenzKxc3dbaNNzX23HE+3pEgGe8DPbu3YNzlg/uveL807Z1d5TgOlPwXB+UqrAaYc3jqq5xTe5A1CmJa5VoYa6pdWoBzKK49zEPH/zbEl7Y6SIuM6XJfwa4QWOEUaJRE6Szc3TvZSPrPR1lqS+71hDQOvDTPSA55KjgbuSdjj2WSPNtpYebyeAxsKEBliHuAMygLkkaXKyH684hRjUpUQHadAgp+ZD7BAtmBfinPxvDhSursKJIcwBJcLPQBD3XQM59EYbLQqGbcyBE8hQLOTARAqO1EJyW4JMztjG6ZO/uXXtgW94rBzgAuI6FXHjnzpmdw+8ttM/E+mcr2DXEEEUWWGSJkMc4SlABO0i0bDmTsCplbICbMFAXYDbBzzZk8OFbS3hhtwvecECpQK17Lk3ePV0973p3vG6ZublNQ2QdbUG9JTfBW1/e90hDTV73Rq5qZlynIMkn8gT4zDxGt+JmmhuQ1sC5Zq2TDpHybHIKfeKresALi85rBAtmBviHG8Zw/soqaMSAgGuAjhKgMxVX7gNMgVstI0Qy95NA2DmHAgNdZaxadAArVvTj+X219976rft3cnNU27DZRzugs6sX4xOT8Ar5fU880vrQF+8YXvPW00dw+dkc2Ywf0xVVxVXUJQlh2dJdy+SzVYVlytQpEIC6wK7DNh590sVNXynihZ0uuNtI405RFOmVIZKSuFIWTGfnWAY14Q2sNTcpSAOqEjfNmxkX1dTpitY5ZPLTNO786cEeW3J5Ia7x8YRbp2RColllIrm2ml9TWn0xmFRPBVMfF9xdDTCFzKoPQEWmDpUBWSL1zYgHlwyYEgABw2B/gH+8YRz/5yscv3zKw65DtoxClIME3SXMAESycr5NATuSF8wgohYIATyLI+9yXLqU4z2XtGH24MKHWnvP2xcGU3DcAo7Wjt4FANx882dw0SVvO9zRXJiY00HfhdoBlIoUWS9Axg3gOj5cx0fGqyFb8FGuhdg/AkQRQ66Jwc6yeMo69f/RDMELex185itFfOE7Bew64CSJwgbAU+GvKjNe3hPTHS9Ce21VyEcvxxbHcWvTsJBk/EpT2yytelUSpy2LRVJVbJNo/Y3Er3idatuIfkxjNee4lgCMGSao2THT9Mucjo/HGCMNrhV3aK1nKiNhNNnZkxAGUYelvYXhvDN9dPdEeG6rjcMjRCJNduOQAxUGizO0NQfoaA7BAgZ/Uu6nBKAWHEpQdDjaCwwusTFz9hp0ds/5swP7d6/v6Jp9LNA9ugVXbeGCfuTyxceyTvXOl5uGrrKwWXBtJ4Dn1lDIVbD7IMMjWxw887yLDc+46OqMcN5ZNRRzDCsHA8yeEQEBQBxg614bn/5yEevuzaIaURnTrUfwp9f1uoKSd6O+cI8RLQjUqSTTbTPDXxP+EW9u4INPOHpqlPkqW1phqfdMIg4vNYK0CGL3PYOoIBVbduX4AbTIQ6GYACLeWtEXiiSJWWjqmobOIK28rJNIOKgs48ylrEhDjq7WCNdcVoHnAH/9pQJe2muLaNoQ6J8RYeVggGKWYe1ZNXR3RtjwjItnXvCwfnMWe4YYGAiqNAOfEdR8hu7eOejomXdnc9u8x4gzfsz38pgB3t7RhcPDe3fOPeXMD9n+r6yoQq7IZcpoLkyB0zK+fJeL7z+Qx+atGUxUKSYnKKgb4ae/DOGQCGeeVsOn/ngSS+cE2PWyhZv+uYh1/5VBFUSk2uhAbkhLEnOTDCqFYVCTtca1A1OqicG9KUwaoi8lkI0YlNg6pSiM1g/iw4gG+GNFct2h4nFuxJhoYK5bcsSzm4ljeUw79IlSY74ua4mrixOprattCaDFvD+KroAKfzqNwU3BpANIpytifwRW4/BshqsvqgAcuOlLBewatrB0MMCn3juJM5f6cAhHRxGgNsHqBQyTlSqeeWkKdz5Yxtd/HKFaBoaJi+Z8Dtwu/XDVWSs+tHPX3l2z+2eceIADQGt7H8YP3rdrxsCyTdVD265w+fN4ehtwx/oCvvGjFhyYyApKYQFoisCiAAcmAiAKMPQAwc5tFtasrmHokIUf/Dwj5m60CRJXrgo0li+dlsTzgKFhsXorPbBEElxVr3HzGLQqc6SRPKiDOy2bpNUVE+nHc1c1oCLFw7WlUYhSc+JwyfkNhw9JeUPldYT/JK2LmwqNSC6nAGUyhpxK0DLDkiswM8nBCeXgRMzhCSZ8IIg4sjbHuy6uwrGAoUMUa8+uYWlfABscLLLh1xyEUw4IIShlOc47leHUuVPo7wxxx/oaHtvShLaFi3HuuWduuv3Hv9r1228767ju7XEBHAByhR5Qb95ns3hszl9/dejd37rXx9BwERVkYOctWNIrFUYMnNTEDxRGsDiQb2bIZoBNW20x5bKnI0u34vIFuR5LhMJC6wNK3WLT1PtG+YlUA7Ye9532YtZRkPQ27fh0eyVsJQaiYbEVyjVwJ8YXKimZkyTtK9HNeTJ/PBDPmKCchHoRoRj0avYGTUYUH5wkTChLrjKEBZ2RwOYcVAZtcVmegkWA53EsnRdgx94MpkYpom4AjCIIHPhBBn7gIYwscT3K4LkB3nelj8tWH8KDz2ax+UDP7Zeef/pnn96y+7jv61FlwnSzs4Ngo98Ys9p6/vAnj89dv3+0B8wuoC1noydL0JPl6PE4WlwK2/YAbiNPGX7vijLuvHUEN/7RJN59YVUMWLiCg3qlPJbU0gAPMwQWSbF63S1vDMaU9daSeSFd9wrYJuVI1R1sQE10131jqdA895jRnTq4vmahWtfKChsnmDUN9RcQJ+7EsmJDBw8APcRWOHkS+ZBzrQyclBHjF1Pvzeuqz/6Pn2Vwy215/NYNLfja3TlZd9xCzfdQrmQxWc5jfCqP8akCRseLKFeL6G5pxjvWltaPBHP+8OYv3zF21pJZxw3w47bgAGC3/iHu+tkT5U++b57/8c9/H2OHRtGWJfBsGfrIgbxPUBsDPCvE7791HJ++bhwteQZicVx8dg3rfp7Bxq0ZIKtzb91aS9oiXb5JbmWiedOUMqCDlU4ziKTTgTdFRUhqqVYSbJtsWykk9UifBtMxlTgKyDVqxDmP17kCNU/x9ZiT63EqJA7rsAwrLgeWEMnLqpMwBlCLAFxxc5lhHFtsFUMufxj1FGBUpJ5xDk5Eb6Iux1NbHfzXIxmMVW0gILjxX1oQRRTXXBKBMQdjU3lUqg4YF9MAum6IMCQolvIo9f6uf9tHSTnX8o5XAtVXBnAAWHHqbESM/epdl5y2+j9/8nA2awfIqilwADSHBPl8gBWLxvGX11bR5NkIagxuJkBne4iBvggbt4kfqU4t0RUUJHq3oXXTFE3BURw6EvRIgX5ai53enubi8bqJyjSeybR7UmBGGqTadrWuW2Wtg3BFxLWOwEni5RSxJQrUSPi+kTBBVFyToBhyekLKOBiYzGwXhdUEV9e2cQImpoWQagyDmqkPjGP7yxYODMtSHo6F0bKNT30ti1o4iZXzspicLMIPhWJtWwwZLwQvuuicfVYl2zTvV3Fcy+sJ8J6OVkxMVD75/vdcwCcP7v7I9m0vZgo5MRW2ZRF4LsWywRBnL82AogUTlRpcuwZSA+Z2hXjLqhru2ZBDNVRAVoJ0KqhKpyZUD6YyY03MZGIOo8aIDlYNsDruKKmPDpTdq95ln74ZqZ2ENDzqiOAmCuGk0c4E0PHmtLNH36aoe+wI0i27+CzByxPrLyRBHsuIireLgvUJbVEF8imlsZQIZsmIQx5bd845QCkqFeC+X3jYNiQLM1kZECuLcmjji+tasXaQ4vR5WXiuUMEci8N1CLLFBVWv+cp/CKPsXzpu7vUHOAAUi1n2jW/fedPg3O6gNV/7+MT4IZfIoJ9SgaKYIZiYYnAdinyWyHS2EI4VIp/jsFQxR4OW6Pq3HFTGS8G37VRhnkbOkHr6UU9Z0pbacGro4E1vn6bT1IHymNHdGNgKlMZAUwGZqHhxUxs3lBRJTwCVeZ/UOyTEtODgcu4fxBGqMrle9B7KqJjKhDBNdaFyYMqgJsFSsUmcixycKAIqUwACAJ4FUA+246LNAzo8oDxJsGeIoalgy+8QYeaMPh927+e2Pvfo3yxdfvkRowWP1l657ZetvUT8/hkzblm2uPPTp8whjBOOrEdRzIkaKn5A4Qe2iF1hFqhN8PIBikc2eCjX5MQ3DfIqASKn1la1vLlhkWMxUd9O9VQ67bg0mNPWvNGywfukEzQmHkbMSnrnMWI9HU0IJAPNhufEACUG9YgTkbWLm7EqWkyKPEcfKDKePk6cm8SqpOJTtBiWOHk5tJDNAKvP9NHdxYRbnlpwKUHW4nBtDsYZJssRKjWGMKph3yhYlbd92sl03bLz5ch/tfh81QC/7PIr0d93sLL89K47O3pP4buHfFgWR8bjcB2RVa9+cQIxk8PQCMVz213wUMuOpzotSXh3HEhFGwdSCW5tWmZdIoRUTurUyEagr+sEGmK5mcxgAH5a4i0Hoqlj+HRo1cGovU/Oq08yVseoUhI6jzFiV2Jgm+qK0r4N5SUuNQEjotAIyFKZ+Ezfp2fpi+qzlkWxcCBAd3MErd4FAJFUXAtEdaow5JjRGWLtmsW8qav/zi17JyqXX3Hlq4Xnq6MoqmWLs9A9q/Bi276WD1x6fubLh/ZtpPlMiGwmlOUmRCShbUeIIob1T3p4crsnHlnadNpJwR59UMkl9xbgtgnq9W4kKorqsdNZbw3LMfjS22JoTtMB0kiezlAfiwE3ogUVGyGpfUhoR7xBH3QS6WonqBuoxgWE9IEldDe9nAZQ6zhKVUnmBZLT2jPhAKLqOtLryRhFXMoNenQmg1+1sWx2gHPPqGDT7hzCKETAXdQigloIVH2OcjVCpRahb/YqNnf+/A9MOt0vWv7oiYDmq7fgANDfvwI7tjn+6rPOvm1mt/fRgVklFHMVFLI+sl4A1wnhypiVzTspvvuzAmq+B9hqQlb1SsCdUBNFR7g5iCRa5CDldXxcz5ZvGCVoDDTNTJ208QZg0o86rk7qSctx0JNpLbrGj/Vj01RGB2/a4uthtzF3RmLtkxoqWt2U2ErrtVQaUBtVYkKnKExY7iiiYja3wEHGsfDOC8pY0l8GghqCKMJUBJR9iskqwaHxENRtwvC49dHBhStua6ORf8biU08ENE8MwAFgYO48jI8ORWetvvSlM5avmujrdlHKTyKXqSHrVZHLVPDMdo4bvtCMhzc1ARkPoJ6ImaWNwW3TBnUEkfDvNNduREEaxZEo/KW5N2CeEx+oNaV1pwemDQ59RU0HYrJN81DGkklyvP5Gd+KY7v90jDipoy5Amr5otAbK6muOIE7iWir1ILcRRjbCyEG54mHVEo6/+9BhnDp3HKhVMO5zjPgEQ+Mc3ClhzZq1E1dd8Rsv7dk7FM2ZO3CiYHniAA4ArpeFTUd/2D3zzOvnLjzvcKnkwnMqyGcreH5PgI99qRkPPN0C5uUAOwtYAtyE0nhAmQa3pdGSxskM3ODgeioaiAnsOmWFSMDq4I4bqaMv03kw05Ye5mWmbXXZ9On11LaYfiBFRVJxLMZxMaC1QaZ+bZYcWz+wTJV609eNDCCaWHw1m1tkIYpsBKFwx9fKWZx7Kset1x/G0lkjYLUqDlci0EITrrrywsMXrj3z+qHhyR/mctkTCckTYnTqWhQcAqHOH4zt/9ln+eS6jhd27sInvtqM+ze2gXtZUMsGUQHMkM4aoG5SqDS4De2bJjzcKGKv3qv9SOK5idExpOxOkrhv/VpExYPH11L1wJN47njGYxUDTlVNcLUviQ1PZkcW+y2qf89GS36Edb0Wu677m6WtRUUDfR1ayQ/9PU+9B/SqCWYV4EaThpnHEciaOTE9FHm7th0gm6vi4Wc4PvrldoxV5uOG37vw4LVvP+cvqrXgaz0dpROOxRMyyEw3y2lD4I99rdh5MX1y97abP/HVascDzzTDyeeQsYksMy2cBKoevxAG9UEkjgju+ilHGujeaExL1IoxS1rdvnpODuM6pI7GJBy94VWP2PTyEfFgEQ1c+ur49P66JYkrUokBaVIrhSB5L64lMtehkugZT2Kq5M3gnAqPpjyHpgae8b2Vlc8QQToyFf0hoNSDH3hYtXACt/7JCJ4ZmnnwmqvOuTEMo9cE3MBrBHAAcNwSbvqn228Lo95oPDzt1kxuqLU9C+QcIRv6EUEtElnUslpvbEH1+oF18d2xdUlZY41OpCdvrePkjWgMdP5NGsagHBm3KW5+rE1XTbh2ftpZlAKw4fmMY2bVOpK4cE1JgaIohMdUBnI9nolYbmMqHBb6dhkjDrldA7kIg5CzucmwAc6BiFkIQhuhdMW7TgDfJ1h1avfhs1z657z8za+Xev/ktYLhsaWsvdJ2/4+/h8Fzrt7Y2dG0uztPL2Hlw15rAcjYQoLyI1FwETDLqzXMio8f6w3qDEJ73NPEch9x1gaNhsSO0/g4nYYIi0wU1dC4u7pGskxS2RI6QszjiZmyZowTpntBnof68UPdNaB/Vn3H1UMQjLAC/Qml9eZksxqTJKls6SebWuXxdoIooihXMxibzGCi7KFaI8g1zZlw8/3XE0K+3Tzj/UfzCryq9ppZcNX6C4RZduH2/mJ3OL8H/35g3+5MJbBwYDfDmJ9QEaJoCFBnnZMcygYueg3cBi1pAB4YS81xo1vLGAzmj2b8iNqxBg06DmZiGGjdciMVXKXTlfilFYhX5ypUEZ6iNkkUoop5qbfiyZcWFIXIsiDEmHcqSTamoJzF1l3fpYpkKj6ey0So1CzsPVjE2ATF3IE51Yi2/jFHZt34ZPCq3PDH0k6oitKoffIjv42ukh/1z2hbt3h+3zWrl8+rrjmNYe3p44BVRjWSgy5N505P0EqmAzfRwN2guI/+QoMlUC8lar+1eQ6v3z4dhqftEHqbRkGJVRPpZKnLU9Pe18WMq10NzyHGJkNVMZSWJBM/TnxgSemJZFpwqu0zdXI15aFjR4gwhfs3+vjZYxGY3V9lVu812Xzfuud3uNGshde+Bogz22sOcAD4g2vfjZacHz2x6+I7Fi7ouvaCszvKV549gtldNVhcTA6lW2tzIivTBd8I5I3qDhpWtaEFR0OLqw8ejajAFAVohG5S9+bIrVF5tobH6S9uHpuONTEcPSCmjBg7d5IvqkuH0NzzxtyaGpDV/JWJ3p7o5UyrmBUx4a3YsQ9Yt97CFGaW3UzbtW+9/LI7ntg8FZ3zllcW33287TWnKKr95pVvx6YN3+GLl3/yuxh/v/3Aswu+PDE2VerJR6hF4gYbZdagO2+44cgxLTivA3V9yGvjlmIldSpK/H5awJI6ekK0jqKvT9vUoFF7nwawzoMNj462mrj3k+jCujIP+mmSAyl6IyapEqGxqjGePCEVRaFUJkkwgFBxgMj9FP8xZQAsDsYoDo3k0VqguOr8vrGHnut6/3Uf2Pjdsk/x4et/50TDa9p2vGP+V91q+2/B7968AisGR6/ltcrn9+3Z0nbv0wdweCKLkiMmaY3jISATGyg3MucTasINQBvvddCnBpyEaPq3RnN0nVrXv4m23dIHm5QYA9FkfsxkYKrONweeDQbA6v8y6rDwI+jjPL4Hdfp4rGsDxhym+lMxNYlBMnDk2j3kxrHp+U/VzB6iw4hOIwLtqjhw2Me2fYNYdurCQ83N1g1986xvXPMXU/j25/7odcXb62bBVfO6Pw4AuG10/BuE2vbw3vtvabv7+x23/SBAwbPAOFAJKCKZV6W4eb1ThNdbbCTgjhGPRpbaTGKY7vh00zuS+XQgR3xSHGtTg8C0RNhQ71aHaBJhnOhA0hcVJ6okZiIHoskgVww6iU5X5Hchgk7HqX7JveDxkhKOiFH4gQPmE0Ssgvs2tWDW7LccnLt47cf9IPwGIcVXeXdeWXvdAa5aqbkJnB/+t+LgarL2kH/zhqcf7XDZJCohsGFHBIvayNkMDhJQWxLYuhVv1BoNJo/WlASmr0OjGSSWWuollrrPqTus/pukmEWShAAd0OLxr/5PI+JQRyhHPJrSzyepTkIafLheMCgeSWsOIKHwSNVFKuCUJFGJlHB4TgDbjvDUHg+jEx76+2Zi9aq1BwfmnXvjvpHo3+b0nRxwAycR4ABASCt276veNnv2ReH115b+/uXtD7cwtgOH76ng6a2tyDQTI3LQUsFXKYA3Cjg6lqZ4f13AlL4eg8h0/iTOINUJtM6QMPD4L2n04XJnwos1ya/BUsdzWv6L85Hj44m2MX3jUW/lgaRMhNypBqOEcFlOgsHiYqpWEAJL1jxsaargyW0B1j3Yitm93Vh21rkjS05d9jHLwr8TcvT6ga9lO6kAB4CZPRlwFnyzp2354Rdb9s9tKzV9bqRyj/Pi3hwIcnDlRMa2moabqrnjTetnBBABpocQJl7iRuqPbQTu9Dlp3p8MME0FZhqxxbCusdSXHmjqS5jreicwDbk5COUNetZ0/1MiPWrKSPwxBJRzWJQK9Z1wIKIICJBBhLEpH9/6eQalnlVBU6v35339p7/kh7kf5eyTDq+TD3AAINRh/sSmHy5cdIVLrYfLF1zg//N9G7eRPTsimnWFG9mSFMW2tOAmqBBOLuUtUwc2gIRkmcZyWt6bltdPQ0fSx5vyoinl6FRE/9gYyIoppEBsfPnUdq64RtwxJKeu+4c5tG9mfL3YsQRo0YOIS04QxsEoh20xECJmhQhCCwQEO4Y62MDslbyze/BP337+sq9venGvf/6qeScPUFp7QwAcANziEnD+sA90fHPGzDn3r1mWf+f4rMP/9/HNe3F4jMDNCHA7FoFlCWqhLFsUEYBxVcnXsOQEWpbPEfRCw9qS+v365kZKTbwuN6YdTg1bA8WvUdAUIXr2fOLFrBtL6is6t1YeXujfM/E1xKepBGU5N2UYJYX2CeWwLdEDKOWwnQB7D3KEZA56e5s/1R3M+m5zc9vunz/2vP+ety17veEzbXvDABwACDkHACrf/s4dL9y74exb/vEjT7lOMfPJ+x7abdnEh2MRODZgWwSWrOwWRRwBxFQXgPK2aRRXDsAoUMdRGtLT6faT6Y/T9XBzsJogPP1Z3OQWUBUZ0nVRjHMAM6wADejOUUbWsfSnKVH6uQrkYUTgBxSR9FFYlIPZsqIsZ/BcB15Tb7R195y/+e1r59/irt8TrV6z4IRj4tW21zTY6pW2O9bdjofWncfnLrnm/sFvfdvrLFkrR0ZH7dD34docnkPhuRSuI4ZzIeMIQzUdtJwhlydW3PRC6tq0PmDVApS09cRzmqr9TcwYcSp18DiAKxXwBGXd1VdqoMTU8Xf1HeXOdGBYo4hJI4gLMAvzqv9X07MtTX9XABeSH0WlZqFSEyBnXJSAsCiF5TajqWNNbdU5b//bC9au/Cuv/Tf477zzqpMNm4bteJS0170dHhlHSxNBtcZvfmrTS6u/u+5uyiN/9f4Dh+zWkodCzkKlGmL3gRCTZY4gAvxQzH8OLn40iwCWJbPy4xcxC+ErhwxNA1pLdiAQ4I0BLZdUJO2KfQQWTUcPqhstlYk4IFWXIE2Hk6U5ewQd4+b2OLRBJSdMl/QADchiaVuisoFNxVLNbwpOEEYUfmAhjCjGpmzs2u+gXCHIZTia8gG8bEvYVPQePWPlpazQPPDoZIXf2NNmwc2cPBnwaO0NRVHSrbWlSb298Qd3/RiXXrCqeODQ+Fc3P7/9XXlrhPa1T8H1xrHvARuVwAUlHBNViggiptyVFZkpQV3SQFoOPJpbf/qWcO46r2VKRtFjRZgCupIfaYqixJRh+i/VqPqs0s51BUnX3GPvpQS4YzHYdiR4PrMwGlnIWAyHJqfw6HM2rNDCojlFLF7Yw4rN/d/jpHjdrl17J9bMWXbygHEc7Q0NcL1d+ZuXYePmbROz5ngfnDNnYOvo0MYlA107r3r46W0YGutAIUNRyHIcrPjYP+qilKXIQ7mYASsViFQXv4IGcuDR+Kx6EWKCWz4l9E5k1CHh+iBY8WBBwglXVajq9fxG+n7aoQONS8el3dS14sFwYtUdJ0TGDVDMVzE0YmPocAHFHEFrcRQRr8EtrkBXb8edC5eetmnWzO4vlMu1iULznJMNh2NubxqAA8Cpi+YAwLA/teOv6LKr+hE8il/taLvKc3eiu6mCJfMsrFk5jq/8p4O9B1vgUg6HKk03gYfJx01urLhyY2xrZlVLCEi4M5HxMkmMimqMA1EkZTgGGaDEpcOIxLqIYfRTiCaprxGvShe7csGrWB5R11t/KiQyISWSqtgM+VwNLx+ewlfvbocTAIP9wPIlnfijdw7gQGXZnb+x5rQPHxod30ndvpMNgeNubyqAq+bmZ4PzXTvhnfaxRae0ffOG607/0OjBbWsLdDP6uybxXxuz2LlfKzmmflid78Z8NvFQTueYETvFoiFlIElSsUVJzJVVYrGYWVgBW1RmZUzOK084qBxFCr2ZTEupjkahEo1ddEImJzUjXCUmJDW7E7rCYVOOF/cQ/OSXDs45JYuumYvRN2/ugz3E+sJCZ2BjuTa1c+ngzJP9s7+i9qYEOAAQMgsAtnLOtwLY9MQG3tPbMfCVJzd3z3tp9/NWWzZELSTIOekKWCRWJNRg82jN8JBCoxCaC11FHFLpebWoGCCqzhNGQt3hjCMMGcIo6XSWpYBHhTXXNPy0MhKHuB7hyypXPrTrcCqnF4yfaGK7TUOMjLtY3G/jE9edGfV2nb61lIv+pH/e6n0AXiBH42lv8PamBbhq8gd4gYfDL0RRdGnTAafvK59+y/fuvve+pjvu250Hr8YgEbXLBS2wKIFjCWWEMZ5o58qzh3pHinoX81sgFqwT7i2A7ViAbXMBckj5MiKYjBgqNYaIMeECp4DNCWxLJO4yJuI+oL6L/rQhRwa3ekIpGsQYQSQ7sG0LGhRG4jMdRhCGQC7nYOfw/Kn5iy4bv2SGfzWceXsptXa+2YGt2pse4KoRux2c853nrOjcHQWTiyPOV605m/3r408/F/7yiedbrWC0WMgw7B+JkOUchayFjCeqadV8OacQFxVtdceM7qlUj3xOuAA012S/+KkgwO06HI7N4TlcAF3Gru/aH2FkPJIdgcC1lcWWcday5rbqYHGwmZQGY3c8TxyVun5uWWJgGYQUVV+41JERuZGOHeDASBatJYqZffmJfPOiw01tg/b8DryXOwt+Mae3MBaEYK7z6wFu4NcI4EBszdlzL+0fmdHXd8/IyPiCT//Df9R+8cNb/2zT04//r7C6NfjOfVODOTvI5DwfxYIN1yHYNxxgbArIuhyWlXL4SI6uYl54lABehY2qDkGl9bZtDtcRFXYzboScF6GtVEM2X8Hdj2UwcthBexHIuBzMVdSEwbIIbJbMjJY8eThsG9LCA1E8FyZgqeKa8ju5DkPWi7D3gIWhQw4cGyhFQFdbBq0tUfXJ7W3PzZo735m18LRvPrv+vX/X0vWvXmuxWGVslJ2smO3Xsv1aAVy1wbndgPj9y5ue2wHLtj/n2NbnJuxB64pLCv/c4tYWVMb3nhvWhq2mbBnZ3ASe2xuAsSya8hS2RRCGAmgWASybIggldw4TdcSiGl/WnDS2BTg2R9aNkM+GKOZ8dLVNwscYDlVasX/Ug2OxeJBpUUFlooiDWYjJvXL0qCcBpRxhRFGuEvih2G4TQbn8QNCmjFOD5w5j54Ecdu9vwYzuPGa29kR9A73rZ/UGL5Q6Kx/Yf9CKLDuHRef+Oy80D5RP9u/1WrZfS4DrbcngbCCh0OHY2Ph1tu22TEwc/szmp3/uRpUd0aKF7IzAcpdv3lJFKV+D5zE8u52hkKHIejaKeRsEEV56OcLoBEfeExe0LB7PXqZbWzENB4fnMuQyIQq5Gor5MjITZXC/gLEqMFYlsCmDbRFhoS0xfQfTpiVRAU6ey1DIRshlQhwat3BwyAMFRTEHFLMh8tkqHt9iwXNsdLZmMBLMxs4x+3HXsZ7o7ZttXXjxxX5nR9snqtXayCm9pZP9k7yu7dce4OlWKjUBwAiA9wPA/l13wbGx9twavWTR/Ojq5px/StUfwQNbNqGYd5BxGVoKEebPmsCBSoCndhYwoySAnHF57DWkVEY5UoBaApiuHSHjBSjmqijmp0BpDQQVTFQDjFQdZB0CL+TIRCJ6jzGARWKgqVtwz+UoFQJ0t43h2T0c9z/ZjFN6Lczs9jCrx8bgnDLG+EpkvHZ0zsg8T1z6vbdQ76eOhQev/a2Lcf3Jvuknsf23A3i6dc/6TQB4cGx09EEADwHh3N37X2bU3coWLxwYWL646+NBZS8GZ5cxEm7Eky8N4+B4EzIWQc5zRPF3zuX8Q7ocKQaXWS9ELlvGPRs47n28Gb97aRmtGw7i0S1daA4oilHiggoZgx9yOJGoFSi8kBEoasg449g9fAA7DvWgb9Z89HQyLFzcj7b8gVva20a2XzRjNbWcGTSTsV8CcM+KFS0n+9a+Idp/e4CrVmpuBoB71PrY6DBsx20+PLz/0Zd3UzS11oLTlvZ+5K9nuBcPHcwjYzE88/STiMIyXNdGPmehpYmjVgtQrvjwnBCc+/CcMkanJvEvd7dg/1Ab3rF6DO1No3h2awajE0WUXIbAIyAZC5blAcSG7djwMjYch6PYlMPCpUtRyAXYP1bGW0v03qc2Z/++rzly5i1YjL7eix6s1d4xOqOr82Tfwjdk+x+AT9NKze0AMArgLgB4busOlNrw3MBc1jU+abPQD7Fz+4uYnPBh2zYc14JrV4OOnjNuioLy5cV8NWhtClBomcTmXWW0t7fi7EU5EI/hvJVD+MCEjS3bmtHdBJTyHJ2tWae9tenuH93zy5vamrOO49iwLIZMtoCuvsWwHQpajOiZ7XzoknOw3fLmnuxb9KZo/wPwY2yD82YDwHb5atgeWv8oAFxXmxouFbIVns1FsL0sqsxHa6mE/l4HtkfR3AqcMpdgslZCex4oZjg62/Nk3kDP2IJ5/UNLl52VuvIHT/a//6Zt/x9ezxGcbMOwKAAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxOTo1MDozMSswMDowMADVbhIAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTk6NTA6MzErMDA6MDBxiNauAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 127045000
{'hecke_orbit_code': 13510798915667760, 'n': 1, 'trace_an': 1}
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id: 127045001
{'hecke_orbit_code': 13510798915667760, 'n': 2, 'trace_an': 0}
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id: 127045002
{'hecke_orbit_code': 13510798915667760, 'n': 3, 'trace_an': 0}
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id: 127045003
{'hecke_orbit_code': 13510798915667760, 'n': 4, 'trace_an': 0}
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id: 127045004
{'hecke_orbit_code': 13510798915667760, 'n': 5, 'trace_an': -1}
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id: 127045005
{'hecke_orbit_code': 13510798915667760, 'n': 6, 'trace_an': 0}
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id: 127045006
{'hecke_orbit_code': 13510798915667760, 'n': 7, 'trace_an': -1}
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id: 127045007
{'hecke_orbit_code': 13510798915667760, 'n': 8, 'trace_an': 0}
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id: 127045008
{'hecke_orbit_code': 13510798915667760, 'n': 9, 'trace_an': -3}
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id: 127045009
{'hecke_orbit_code': 13510798915667760, 'n': 10, 'trace_an': 0}
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id: 127045994
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id: 127045995
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id: 127045996
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id: 127045997
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id: 127045998
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id: 127045999
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