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mf_newforms • Show schema
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{'Nk2': 583, 'analytic_conductor': 0.2909549023650404, 'analytic_rank': 0, 'analytic_rank_proved': True, 'artin_degree': 16, 'artin_field': [5, 22, 25, 4, 15, -1, 5, -1, 1], 'artin_field_label': '8.0.2179708157.1', 'artin_image': '16.7', 'char_conductor': 583, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [583, 2, [266, 320], [1, 1]], 'cm_discs': [-583], 'conrey_index': 582, 'dim': 2, 'embedded_related_objects': [['ArtinRepresentation/2.11_53.8t6.2c2'], ['ArtinRepresentation/2.11_53.8t6.2c1']], 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [-2, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805802578503, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 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mf_hecke_cc • Show schema
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'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.4142135623730951, 'hecke_orbit': 2, 'hecke_orbit_code': 4503805802578503, 'label': '583.1.d.b.582.2', 'level': 583, 'weight': 1}
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mf_newspaces • Show schema
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{'Nk2': 583, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.2909549023650404, 'char_conductor': 583, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [583, 2, [266, 320], [1, 1]], 'conrey_index': 582, 'cusp_dim': 3, 'dihedral_dim': 3, 'dim': 3, 'eis_dim': 2, 'eis_new_dim': 2, 'hecke_orbit_code': 206175208007, 'hecke_orbit_dims': [1, 2], 'label': '583.1.d', 'level': 583, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [11, 53], 'level_radical': 583, 'mf_dim': 5, 'mf_new_dim': 5, 'num_forms': 2, 'prim_orbit_index': 4, 'relative_dim': 3, 's4_dim': 0, 'sturm_bound': 54, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [3, 0, 0, 1, 0, 0, 0, 0, 3, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, -4, 0, 0, 0, 0, 0, -3, 0, 0, -2, 0, 3, 0, 0, 0, -1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -2, 0, 0, 4, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -2, 0, 3, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -2, 0, -2, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -6, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -4, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 4, 0, 0, 3, 0, -2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 6, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 1, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -6, 0, 0, 0, 0, 0, 0, 0, 1, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, -2, 0, 0, -4, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -4, 6, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_cc • Show schema
Hide schema
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id: 34851844
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 582, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503805802578503, 'source_is_minimal': True, 'source_label': '583.1.d.b.582.2', 'source_level': 583, 'target_conrey_index': 582, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805802578503, 'target_is_minimal': True, 'target_label': '583.1.d.b.582.2', 'target_level': 583, 'twist_class_label': '583.1.d.b.582.1', 'twist_class_level': 583, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 34851845
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 582, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503805802578503, 'source_is_minimal': True, 'source_label': '583.1.d.b.582.2', 'source_level': 583, 'target_conrey_index': 582, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805802578503, 'target_is_minimal': True, 'target_label': '583.1.d.b.582.1', 'target_level': 583, 'twist_class_label': '583.1.d.b.582.1', 'twist_class_level': 583, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 1}
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id: 34851846
{'conductor': 53, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 582, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503805802578503, 'source_is_minimal': True, 'source_label': '583.1.d.b.582.2', 'source_level': 583, 'target_conrey_index': 582, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805802578503, 'target_is_minimal': True, 'target_label': '583.1.d.b.582.1', 'target_level': 583, 'twist_class_label': '583.1.d.b.582.1', 'twist_class_level': 583, 'twisting_char_label': '53.52', 'twisting_conrey_index': 52, 'weight': 1}
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id: 34851847
{'conductor': 583, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 582, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503805802578503, 'source_is_minimal': True, 'source_label': '583.1.d.b.582.2', 'source_level': 583, 'target_conrey_index': 582, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805802578503, 'target_is_minimal': True, 'target_label': '583.1.d.b.582.2', 'target_level': 583, 'twist_class_label': '583.1.d.b.582.1', 'twist_class_level': 583, 'twisting_char_label': '583.582', 'twisting_conrey_index': 582, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1081600
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 4503805802578503, 'p': 2}
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id: 1081601
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 3}
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id: 1081602
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 5}
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id: 1081603
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 7}
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id: 1081604
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 11}
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id: 1081605
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 13}
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id: 1081606
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 17}
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id: 1081607
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 4503805802578503, 'p': 19}
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id: 1081608
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 23}
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id: 1081609
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 29}
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id: 1081610
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 31}
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id: 1081611
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 37}
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id: 1081612
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 4503805802578503, 'p': 41}
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id: 1081613
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 43}
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id: 1081614
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 47}
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id: 1081615
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 53}
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id: 1081616
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 59}
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id: 1081617
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 4503805802578503, 'p': 61}
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id: 1081618
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 67}
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id: 1081619
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 71}
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id: 1081620
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 4503805802578503, 'p': 73}
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id: 1081621
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 4503805802578503, 'p': 79}
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id: 1081622
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 4503805802578503, 'p': 83}
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id: 1081623
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 89}
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id: 1081624
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4503805802578503, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '583.1.d.b', 'level': 583, 'portrait': 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18LhDWsnzasm0pY6gZ0h4JR7LE8EGyaMix2DMfPKWqez6ZZ2LY+ZOPciA1zYzbNjdm20bJjk+Ly7R511eTI8TZffsLnof0xjx2LSFSPN7yow1teYKmrOfYfm+bIac2p8wlnU3AfXLBcf+U8v/iOZbavm+L0+WnOL9dY7HgsdSQrvYReP6E/Fhw4usDe453LH9139sVHT5694Nipc5+74ZXfEt5188eeaUh8Tbd/1gy+vNxhFFq04tduf/DAC37udz4iv/3Fx17wf33rSX1+aTOLK1MsdhosdnwWO5rFDix1EpY6EYsrCWdX4NCiYP26FX75uxd57iUNTpyb5fT5JqcXNOcWLWcXYk7OJ5zvxUzPjnjh1X2efxn4sk6gAs4t1TizoDm7JBiMIY4NNd/QrCXMTMUY4NjZmG4fdm70aNbHWCtA+PSHhh2bxiyuaLBOiqz0YRyDxbLUCdm6waM3VAhlEWZMu+axY/OIlYHg2GlNYjRzbUmrJgg8iGPBYCw5uyQ5s2g5txwTBCPwYm64os8LrhSsb9dZXG5z4lzA6QU4txBzbinm1BIcWrQ854oFfuW7l9k03eb42VnOLtaZX/ZZ6EiWVhKWuxHL3YSlnmWhJzjeFawsLvO7//c4/p5v0ner6XcaVb/qbinMz8bGo1ZvP9NQedrbP1sG/+Bffowbnn8dP/mTP/GrH/n4Lf/Xn3z4louePNa74ODpgXzBVUMu3GxIjMZahbWOvbESkIBACIsWFl/C6cU69x2UXL17icu2j2jUwNMS31P4vqZZlzQ8yaDvse9ojS885HPs/JhuHLHvxJiNc0u88YXLXH1Rj+dc1uHoQszCQNAIRhw+bel0m1x1oWRllLDnqKLV0Dx5DC7eYhmFCaPER+uImRbsPRGgdIInY7QHw7HkuZcNGA4kV1+U0B0mHDvdYtcmRbMRsjK2bJgesNzv8te3wCNHEh47MmLnlkWuubTLzGzI62/o8a0vseze1CKJpjlyaopDJz1OnDWcPB9x8nzCofOC4ysRz7pknl/+7h4bp6c5cXaWc4sN5ld8FjuS5U5Cpxex0k9Y7luW+nBuoFjuxjz38gXe+c3nZU2LC86eObmr10+eFzR31RutmS8+cPff8yfv+/AzDZk1b/8sGfyDf/kxdmzfrPbtP/yfj5889/MPPX5UnVwImR9qzgwMV+88x7t/eJ5rdzc4tzjDYqfBUqfGUsdjqatZ7sFyJ2G5G7PUi1nowIllga6PuPHKJb7tJSG7NjRZ6bc5v1RnfslnoSNY6jiJsNwzdIeG7tgyGMXMtSN2bDSAIPAsJ897CBmwc4Ni1xbLlg0Dzi2PefRAi2dfbGnUl3ni4CytZkgYeszNGIYjuHzHiA/dMs2l22PGY8u6KUmUDGnVAp48OqLuNbn2kpjHDoecW/TZOhewazPs2BSiVMTJBfA9ixCWnRtjZlqS3jCgP/DoDjyWuoqlFVjsGJY6CQudhLMdWBwl7Nja59teusCNl2lqXpszC20WlmssrGiWuoLljmGlF7HcS1jpWxb7cLanOLcS89xLz/KuH17k4m0NFlfaLHXqrPSnUbWLkmZr469Ordv5K/3O2eT5L3rzMw2dVbd/VgDfv28/tXqtfurkyR33PfjE248cO/3fDh05SZhIukNYHgjODxSnexHPufAcv/XDS1xzYZ3zyzMsrjRY7tZY6nosdzXLXej0DCu9mOVezFLXcq4jON23IPq85UUdXv9cw4Wba4Rhg+VOjZW+T6enWO4LegPBaGwJY0uSgJKWwIN6YJluWzbMRmhvxKEzIY8fDDBxk9c+L0R7Kzy4Z4oLNsNn7ot50VUB5ztDaloRJxGzMxBHHtqLWVxs8MLrunzmnha7NsMDB8Z4NHjNcw2xGPL4oYQjJ2to6bNxRjPTFNQDge8LlIDYQBhZRiH0BpaVvqE3MKwMDIt9yzBJ2LltwOuf3+EtLwjBtFhcmeL8Ut3p7a5muQMrvYROP2YlBffSAM50FfPdhOdcco53/fB5rthZZ2F5muVeg04voNPz6A4EjfZW6q1Nv7Bu42V/s3Xb1uPj8Wh48cWXPtNQym//bAB+8vgBNmxY5+/ff+h79+07+If33PewWFzuyzCyDEaG/sjSHcLKUHJ+KDnTi3juRef5jR9Y5LqLaiysTLO40mS5G7DS81nuaVZ6gk7P0uknrPRiOn3Dct9yvic40zHMTA941XN63HBZzM6Ninbdo9urEXgSUISxxBiBsTAYAcIw0xpx4JTF2JCbH2gyHtS5aKvPjVcPiMwKtz80zbUXexw426ez3Ob5Vw/44oMBG2cte45Z/v2bu+w5GrBxVvKFhxQ3Xq5YGnQ5fGKWay8Juf3xIfG4wQ1X+OzePmIY9/n8gwoSwaGTmnZDowUMhhJjBYmxRDEgDdo3dPqWZiti++YxL7h8wKueHTPXrHFuaYrFlTrLXXdulruCTh86vZhOP6bTT+gMLEsDydmeYKEX87xL5/nVH5jnml015lemWOk16PYDun2f3lDTH0kGI0GU1MzOXVfZHRfsfueFuy76wOLifHjFFf88QP7PAuBJHMowHL7xsQc+c1GnZ9513/0PeJ2UQYejmOHY0B8a+mNLbyjoDAXnh5LTnZgbLj/Pr/3APM/e7bPSnWJ+uUWnX2Ol57PS13R6is4Aen1LdxDT7Sf0h4bOwDLfF8z3IUrGXHPxkE2zCf2B5XXPH3PBJkOcSLS0hBHc9miN4+drbJ6JeeJQDUyDy7YprrvUENQGPHhgwPxCkysvaNKeXuaexzyuv7jG4mCF5eU2mzZZ7tuj+K6X97l/j2bbBo+FfoflpVmuu3zAPU8kzNanufKiPuc7He57apq6bvKcSy2X7BiB7PPoEcGG2Yhz8xG3P+oxihRSQmIsF2wOedXzQ3p9xZYZw3UXQxg2WOo0WOoErPQ9ugNFpy/p9qE7SOj2E3qDhO7AsDKwLA0lp7qCznDMjZfM8yvfv8xzLnYXR6dXpzsI6A08ugNNf6ToDx3Au/2ElV7Etdc+J0qs/qnveNsbD7aajU95vmeeaWw945nM0XDIaDz+7iMHHn73mVMHZs/PL9OoSywSKWz6WzEAQjgLUAiLlBYpNffv38jPvk/z5huX+PaXL7Fra8jZxTaBX6ce+DQCj2Zd06tLWkOPqaZmMEroDxM2jg3DsaU3Cliar3HyhCWMDafOxgSBBQS+smgpGAwVAo94oHnWBYLdWyw7tg4YJz0+e79i78EZXv3sgOsuX+aDn7X4osEFWwc8do9i67RiXXtATdUJI4/zPWjWNNs2Ch7ZG3LdJXVecu0Cf3bTEN9r8crnWbxgwJfuC/nMvU2eOlLnwi0NLticsH4mZNe6iKsuSFDKoJUFLI0gYP10QBh59AY+Txzw6I80g6GiP5L0h9AfWfoD99l7w4T+0NIdWlaGMD9QnFu2NKY6/Ohr5/nmG8dcc2GTMwttOv0avRTcvaGin/6bg5FgMLKMQ0ucwB133e9NTc+9++57Ni+96IXP/U+D/uDPGs3GM4qvZxTg4bgPwn7/8UNf/rX9T9wy2+938bSm5iuMAWMFoBAChEjSe9dJo6RFyQRfSh47sJ6H9zc5cPo8b35BnxdcMWK61Wap06DZrdEe+vQH2n05I8lwpBmMNaOxZRQawsgSRZY4cUcY+1gDUgk8Laj5gumWYKYFm9YZtm0csG6mw+cehDse9pBmilc/2+NZl/W466mIcNTmxmcJOsMh5xeb3HCJYd30gLoOGMWK+W6EMoJnXaJptMY8tK/Gi6+b4vnX9HhonwI7xbOv8Pm+NyzxxUdCvnB/kz3Ha+xYr9g0W2em1WCqBfUAPG1REoyFPUcESSKIYkEYwzjCfcZxwnBsGI0Ng5FhMDb0h9Adw3xfcr4HYzPiFdcu8cYXdPjOVxriuM3ZhSbdfo3e0Kc/9OgPFb2hSoEtGI4sw7FhOE6IIhevHD95hr/+u8/O9kfJ/3jDa1+se/3B+1rPIMifMYCHo0WkTL7v/PHbf+3csVs2+LKPaPiMQ4u1BldDJREIhFAIIZCSFNyglEUri6cMdU+wMKjzkVu28aWHu7zoqhXe8YoVrtrVZ266weJKg94wYDD0UmArd4SCcSSJYkEcu6XepouGkhatoeZDo26YbUVs3TAgps+BUxF/fXuNwyeaTAd1rr9Cc8PVXe7b3+HmL7d53sU1dmwe8KFbBEoEtFsRK/0xxoISsL49oNvzMXGdN77oPB/5TIPd52q8/nkDwmiR2x+fI0pqPPeKDbz++i4Xb+/wpYcGPHaiwaNHfLbNSmbbgkYg8D13Ecr04jcWjLFEcXqxRpZx5C7kUQjDEHojwfJYsNQDoUdce+kK73jVCi+6ImGuXWe526DTq9MbBPRHHv1hsRIMxpLhCAbZhTNKGI0No9BJucQqjp/u8GcfuXlDd2h/7c3f9CJ75tzKn27eOP2/B8Bf/wO/x6ffkzCc/+D3mCh+12DhwLpADZlq1RiOY6Rw1rxjaxBCpIdESY2UCUqJdHk2eMoSaEtdC5ZHisXODB+9rcm9T/S58ZoV3vHKFa7d3WEuqRPHAYNRjf7QYzjWhJEiiiVxIkmMwFjhsqDCEviGRi0m8EN8b8ypxTE3PSA5eNLnyMkZlAnYvdnn8l2KZ1/WRQXzPH6oxdbpBldeCJvWL7PUbXPVVklsLJ+7P2A8kEw3Y17z3BGfuj3i+NkWl17kcWZlxJOHPbZvnOGaXfPc9ViPe54UjEOfy3bNctn2gMu29Th0ZomDp+D+vQ0OHG7S0IJAS5qBpeaBlC6ostZdrHECYQxhIuiPBd2RoBtBaGKMHfGci7u841VdXnRVwubZgNFoisVOjV4/oD/yGQyd1h6MFMOxYDiSDMeub3Q0ThiF6coQWsahux+FMIwUp092+f0P3brh7idPvGvDjI1veOtHP3jPXz+CUP/1Xy7Au2f+O+3NPm+rjb/zpVc+9nvf+dID001/irjZQimJFCCFRUiLlMo9lwIpJUoJtFLpvUGrBE8LfG3wPUvgWRp+wnRN0Bt7LHdn+NgdbW55dMTGmQFvf2mHy7aPGA37XLnLsn2TYhx5JEmR5hdYpDR4OuHYOcuRs4KVoeGTdzU4tTCDDT1maootc5qdmzQXboUrd3cxcoH3fKrJ0tIUz7tMc+XuDl96VCBijw0zkmYjZhD5SCvBSpT26YwE55YEV9gGL312j7sfqrNlnc/zrpzl375hgQ98psf9+5r0Rx6LKy12balz6eYBz72kx7e8uMfppSU+eVfA4iDg2BmPU6d8POXOlUBgrCUxEBlLEhtm5iKuvmLAeBxx2fYxb33pmA1TitlWQBTVODNfYzD0GYzdKjfMgS0duMeC0Ri3EowTRqFhPE4cqCOnw4chDCPBIBT0Es2hYx0On7xl3S//WPB7t/75lgj54Q//+H/9A37nF//9vzyAP/7wb/CXX3qxOH/k82974Inj7+2tPNVo1iEMQ+rBGHDsI4RBSg8lrJMkUiIlKCnRSqBVeq8Fnk7wtcD3DDXPUo8sjdAyVUuYqQsGoaQXNjlysslvfHgWTIyIY5599YBdm0LiGIw1WOuSOFIIpBJoz2ffcZ89B2s0a5qWL1nXEKyfk2yY1WxZr9i5OeHSnSskYpHf/3ibY8ened4lHpddkDCMe3z58YDpusfclGW6FdKoOylkjKQzUiz1LYudhE6/zguvXOGBPQP2HldMt2s894ppfuCNi/zBJ+Chg036Q8tKT3Nuqc2mdQ02zIzYOTfiJ942oN3o8NgR2HdC4nkWpSxCGMC6/1mIY7hgU8KNV8UkkUcUB1jbYBR6nF3wGY7dijYKVS7fhqFgNBaMQsfa49BlZcdj49g6MulrDuCjEEYpuLuhYCmUjExIHMZ8/pbT0ydO6PdGvDN+9y8+66O7tv6+/fHv/7F/OQD/wV/6M77/f16o3nTVl9/yt58788Ev3Xe0NhhNcfGOLpftGGKMLAJI6aOURUkvvVcopVK9LfG005y+pxh7knFoCMKEcWSpR4ZxZAhDSzuGcWQYxxDGglEkGScBUVJj78Emj+6FxFpMemEpAZ4EX7maj1YAV26Gdh2mmpKZlmJuWrNhFnZsGrN5/QqRXeL3Pz7FocNTXHeh4sJtkt3blrn1yZhzi1M8e5dkpm2o+UMCGWCVIE4kwlriJGS5X+Pcosd1l9V51iU97nqoxsYZQaPW4rpLDD/6lkV+7xOGJ0+1WOkbVnqK+WXNuukmM+06M+0p2o2I9c2IndeFBF6Mp2OUSnIHyuIuqihSnJ/XRLEiihVhpBhH6X0oGUeScSgZhZJxKFyAGgrGqfwYR4ZxmBCGqaaPMlnigD2KYBA5cC+Hkn4Yw3jAVRcM+ME3jVjqPNIYYz74+END8x+/b9vHf+SbfysJNvzf3/gA/6Xf+gjrpuqqJg6/9e9v7//ZfQ90a1ZthSTECsmv/OAKl2/ro6RBSIOUFqVMengoafGUxdMKT1u8UOJ7wn0JnmDsK8LIAd1F8olzReLSkUCcWJLEkBic3jbk4BYClAQtwfMg0IJaIGgEkmZDMdWQzEwJNszG7Nw0oNVc4eN3h9z++CwrC22u3qHYudnj4u0jErHC5+5v0PQ062cUrcaIxw/BU4c1V223DMaKay6OuHq35eyZhPlln+GowWuv73HnY0MOnFI065LAb3PVhYZf+Z5FbntyyKduW8di17JzQ8JyRzPdVkw1PVoNj2bdUgsMgW8IdIJWTmrJtLXSWlzCyghiI4kTQRwLolgSxoIokowj57yEkSCMLGEI4yghjAxhiTjGUflw4B5m4I4kKxEMxyEyGnDtBcv88g8t8s0vjIhiTZI8VouE+otzB2f+zSi58G9P7vuzZNul/+YbG+B1L5FLy0vffur46T/af+hMLZhZT2gSTBTyD3d7hGPFW1/W422v6DPTjunJBC2DVGc7PexpjRdpAq0YeY5pxp4k9AVhJNyXEymiGMJIOgchLmy/ODEkiXMXEps6JalbkrkzSjrZ42tB4EtqgaRZF7QblumWYePsmPUzPWK7wkfvlHzgM3NsqNW4eodgx2aPC7YYdm5e5uNftiwt1bhsk2KmDa1GxLmjkvPLAf4uGEeC9VOS6Wk4cMSy3DWcXahx8QU1Xv7sHjfdUWOuBYHvo+Q0V+0W/ODrz+PJ8/zDXTM8darGxm7EhumYqaaiVVc06pJ6oAl8CDzQ2jlMLqYpgRx3YScGkkQQJ6RAhyixhDFEUeJIITKE2X1kUtsxc2VSCzIWDCNBPxJ0Y0EvtITjkKmgy9tfu8jbX9rnVc+2dHptwsgnjDxGo7O1SG14r/Qaeiz8v8LxzDcmwN//F58gScz33HXfkd86cvh4e2tL040s3VgxkHVC5fG5+z2+/GSdM8uL/PtvGTLbjhkFdbqDGlr5eNrD0x5+mBB6Gj900iSMXCrdMY5wTJSyUhxDlECSOCfBGBdwGWOzHs4U3A7gLnAVeNoBpBZAo2Zo1WOmWzHrp4esm1nh7r0hf3FznX1HprlgymP3Jti2yWfbRrh0R5dB3OW+PW3qymP9jGK6BdOtMTNTMb6vEcJdXMOxz1I3YmVg6fRjzi/77NjU4vmXnefm+wfsO9WmEUR4ykeIKXZvVfzrVy7wnEvP8xc3t7jviWkW+5oN7ZjpRkyjJqnXFIEnCDyJ57lYRSlS+9Ch3OJ6WI0hB3qcmHR1S63F2BAnDtxxBGFsiyNyrswodqQyyIAdw2gUY6IRc40uP/KtS/zEd/Rp1Hw63TrjyCeMfMahx3Ds0x+cbKu6//vTc1f5Tz38yQ9ccd2bvvEA3u12kFJ+//v/4uO/durUyblmTaIii0i1biAFPekxlJKVscdv/Y3HnkPLvPHFfV56bY+N60J63TrDcYDvxQS+xzjUBL6z9zKAR5EkjN2yG8Wpp52QWn+kzC0xlgLcLkmZMjdo5RImvmep+YZ6LaZVi5lpj9m8rsu5zoA//KTH5x6YZWm5yUXrBTs2CLZu8Nm2QbBrywjtr/CR2zWHTzS5ZKNkpiWZaiZIOebUvCXQziWyVhBGmp0butxPQnegWO5azi3VuWRbjW95aYe//ZLP0XMBno4QwsPYJlEsefauZXZ+R5fPPTTgQ5+b5cGjTbbOCNY1E5q1hJovCDyB77lYRStc4CxFXpNhcReZsTinJXGAz0AeJ07SObBDmLhalzBLHsWCYQy9WNKLYRgaksGYbeu6vOS6Fd704gGvu96gRYPl5VrK3D7jSDMOPUahxyjSDLpn54S3+11XX/9m1ev13tdqtb5xAL64tAJC/9svfOmOX3vi8ac2+Nqd0EwXKOnS374U9KSkL2t0Qs1Hbq1x22M9rrusy3e8csDrn9dhbjpgOAoYjn0CzyOMPcJI54FSHCuiRBLHkigRxLEkSQSJEYXWNoJclVjH3FK4ZJFKk0W+Zwj8hHoQ06qPWTfdZxgN+dLjlr++dYr7nphmxve4aqtl86xk45zPlvWSbRtDLty6zGNHh3zyzvVMKc36KUG7KWg3IjqDhM98uUbLdxe3sTAca95445hP3+tqYjp9w/llzbYNLd78gj737e2x54BPM4hRUjiQmwaj0Gn9f/3yDpdsPs9Hbutyz1PTHF+us6ktmKpZGr6hpg2+B1oJlCRNkLnPnZUfmVSqGVOscHEKdEcQECWCKEmBnQhGsWAQC/oJLuYJQ5r1AW9+9RLf/souz74kYeOsZjhs0u1nwPYIQ00Y6RTkmjB0ge3RI/s21Fv3/NoVV99ohoPO++uNr/9Yua8rwBeXVuh2+kjEd3/u5jt+8x8+/cW5TqeDkhJPgfVsmkhxroVO2bwmoSc9Bp7iZDfg9L0N7n28z99e3eOtLx/ymhtHzE77hOOAcewRRh5RrIlSoMeJIk7ShE1SANzYlLlNUVMmhE2DSlfHobXB9xICP6IehLTqQxKGfPEhyYdvmeaJI1OIKOCCGcvmacu6acX6WZ9N6yRb1kfs2NTlxHyPP/5Uk3hcZ9s2wXRL025CuxEhvJDusMl0yyKEwFqIYslsoIhNTC/y6Q0SlruKU/N1rriwxQ/9qxXe9VcBx+abaBWlF4YmjmuMQsmmuYBnX9Tl6gv7PHnsFH99a52bH5zmdKdOM1C0fGh6Fl9bPAVaunS+ENXqOgNY4y66xAgSC3EinH+eCMLEJYmGiWCYwDC2xHGMicbM1Ya89hUrvP0VPV50VcRU3SOMmix3AsahTxRrwshLV9vSqhspwtg1qYTjJQ7tuWVDzbe/uWP38+LlpZN/7vttGs2vH9C/rgAfDIa0p5pvuuOe+//gU5/5YrvT6aC1IjEWz8ErTaaQMotFJxZPCnxlqCeCgfIZxJrz4xr/cG+T258Y8Nwv9Pmxb+1x+Y4uG6YV7YZ2S1/sEccFyJMM4EZirMRaJwlsHlCmqX5lXRCrYwI/xlMh3WHEfDfidz9e48j5GR7aM401PnN1wYZ1lnVTgrm2Ym7aY+OcZNNczNb1A+aml/ncw4YHn5rm6m2CmZak1ZC0G4ZmPUR4Y4JAo5X7+9ZCkkiGY81wFBEbQW9o6PUtS12Ps4ttbri0z/OvWOEjX6hRX1JoGTlAWk2c+ISR6/FcN13jObv7POeiPve/5DTH5iV/cfM051canFwM8JWk6Qn8TIZJRy45kWdSBcfksRXEBiIjGCcwiiE0FpIY4gipxmyZGXL1Tvd9XH95QruuieMmnV7AOPKJU2C7FVY7pyYFtZOT7j5JXAlGr9/lsUdunUus/oMLdj97OQqHn/x6YvLrBvA9e/ezbesm9Z4//fBFTz61v93vdajXNNZapHAaUAqbakKXDlfSMYWnLH5sqSWChhIMlWCgA4aJx2JY5+YHp7j7qSHNYMy/eV2HbXMxF2wZcsOVPbRwLWJCOLnispKuVtraEnPjMqRKOM/cEoOMefKI5IG9mpvua/Hk8RZh3KClFevrltmmZaZhnQ/e1sxOaeamBZtmY7asH7J5/TK3PzHmPTdtYPO0Zn0b2k1FuyloNWLqwZi79ytGocZrOlBZKwhjSU0rrr1kyL2PT7vCp2HCStdjYSXg3MIMP/T6c5xcWOTeR9bjSUBEGMgBNA4l/aFmplVjut3k+ZcMeMnVA77jZfPsPWH49H017ttbZ//hJrHQjMeKQaRQQublD5AFnmlOwBpiY7HG4ImEKT+kRsTzr+uza/OIbesi3vGaMXVf0qx7hGGDTs9PV1KdEo7KvXZ3yPxwDldqUyYi/Y4ko6UuTz56V3tx4dxFL3zZ29TJ4weTbTsu+ucD8L179rB543r//vsf+F4tk9/qdZdoNTwsqf9qXXlrnLheSSVdR4pWjsF1DJ4UeMYSxJaaEjQSwdjAKPEYJh6DpEavl/CbH5nBxhEb14+4YseIuamYt758yI4NIVEkUr0tocTcpPpTSoOQgo/dVuexQ02E1hw73eDUuQa1umIqEEw3Le2aoV2DVl0w1VC0W4qZlmZuGtZNx2ycG7F1Q5fErvCxO9sM+00u3mZpNxSthqRVN7RqMZ4X8rl7a4wHEm+D6xbNJEqzrnjtc4fc8bChP5b0hwndgWalpzm72ODyXS3e+qIuDz3Z4NhSCyUNEKV62SNKFOPIJWb6I02n79OqN2jWx1y+bcTzLh1x4nyHo2dW0F7Co4c1f3trA6Fc4RqT8wetAQxYSxQm7NwY8/aXD1nXTrh0p2XjHCSxxzhsEccey12POFJEiU7jIEUUuZU0ilUaExWAdu6WSOMlZ1MmNouRPM6cW6Y5Hf/W4489ONi4edcH9u/fE15yyeX/PAB+6tRJFhfnLzl58uQfPvrog7JRk86GshZjLCaBWIq0xBUS6QLNyAh07HRilFi8BGIlCBJLzbgLIjSWMBGMjWScSELjERmY77e59TGDJeHv73MjG7AmPbIsXmqRiawiUSKVIo400mg8LWkFsGu9pekZGoGhEUAjEDTrklbdyaGplmSmDXNTMetnxmxZ3yNhmd/9uxp3Pb6B3XMw00jZuyFp1WMa9ZBmY0i93iBQEiVTDY6TA1HkMRoKhuOE3ljRHxl6Q+Na5po+J89N8cIrxvzo287x7r/VHF8JEMJgbYRJLFHsEUaS0diVsbaGmmbNp1Gv0Qga1IKIVj3k2ReH+F7E9RfHvOMVA7SK0ySQQQhbFeWppHOZZUngKcBnNNYsLmtXt5NkMU96xLKIgeL0SBy4c2CnjB3HIn+cJBAbp/dNIogTy5fve1BeM1Z/2OkO7xyPR098PbD5/xngd976CWamRP3QkQNvOXTwkGg1vDSBYImNwSSWRFqksSQpyGNlUQmoBBLlInad2PRDpxF9kkb1WWRvRPHcCEIjia0kMZrIBCSp7VW+5VlKAVoIl6lUUKtbatpSUwmBB4GGmm+pB4K6L2nUJY2adgBvCqZbhtl2zNz0mA2zfbZsWOQ9Nxk+dPNGtk8r1rUM7aai1VA0G9CoJ7TqEWcWDYfOBNR8d0FDVuknGIWaXZsMm9aN6I58hiObsrhkpadp1Wu0GtO84xXnOXzmLO/95Fa01FgMiUmIjSWKNeNQMQxdUdSgJmmMNPXAox4kdHouxvC9xCXMvAQtXaOElC6dL9LDla4IQKQgF3RMWmVpXFyTJBJjJLEp4h0H2CzAzx6X7mORvu4cmSTJAlln5yapYxMnglEI9z/wiNhxQfct27btPPShv/rb4Xd9x1ufWYA3GsrvdOZ/ZtA79zNKjGSj5nYiiJUligWJtCTKohKTPgaVCJJUnsQGdPpBkyz5YGz63OavFY+LSjnn5Yo8UCprbiCvTpQCtDRoSVrTAp4SeNo631gLaoGk5kvqgaJeU7TqklbDMtVMmG7FzLbHrJsZsGPjIvftH/OR27YwUwvY2DK0G8KBuy5p1gzNWkyrMea+ffDo3gYXrbep7i3S5sOx4vpLLRfvGHL/E9MMxpbhKKE/1CnIPRq1OvXaNN/24iUe3X+ee/dsAqswJnHlsLEljmxeTzIcaxojS72mqPmGwPcI/IRAG7RO8LTLDivlGkayWAjh3K2MForg3OlkkzlSJrNfS1ZsBmyTMXP2nBzYq1i7BOzEkGeew9gyHPWlOXb6P0td91ut1q8C4TMG8PFoIMNw+Et33fLh/9RZPuMHnpf7zCp2CYYsgZBIB+rEWFT2mrJokz42roHWJOSPkyzjZrPMm8WkmbgsWWGtpZR5r6y4Wao6c22UTDOWilLRlsv+Bb6iFijqgaBRF7TqlnYjYaoZM90aMzc1ZMv6Ze7dN+SX/mwjx09Oc+E6w3QD2nVFs65o1qBZS6jXInxvRGfkisU8ZZGyeGeOvSRR7NOuRwxiwyCtsx6MEnoDSaeuaPQCakGLCzZF/Mr3dvgvH5R8ec9GLApjDUliiJOYMDaEkWIUKoaBpD5W1HxJ4FsCXxFog+c5v1+rrNbHAVylMkUIW23QTVP7NiURm9ayJCngE1PcOzKS6b0oAJ4+zljbZZULYMfZqp0Y4tgSxa6k4ujxU35Qb/7Uv//h13n9/uAXms3GPzmd/08G+GjYxZjoVw/tueM/Ls0fr2ktHfic8CWLY5QUJFIQqwzIFpOyepKC22SPjXCaPWVtk3u0YI11XeRpCWj5YALgRbNECm7h3odSzi7TaSuapyWB7wYA1QI3kqEeWJo1Q6uR0G5ETLVCZttDtqxf4d69A/7LB9ax7/gsO2edw9KqS5oN6di7bmnUEhq1iCgJ+csvtJBK4UmLEoVNaGy2hHv861cv8/kHQ3phwCAFeH+o6PUVnUBT8wMCr82l22P+2/ct8osfENzzxEaMlSTGpdWj2BWajUPDuObKXYNAUPMEge8ym762ecZWK4NULh6SaVlyDvAi5QmkJILLJTi3JQ3kMwCnUwdMnlxLA8h85RX56lwAPF2N8zohx+BRmkmVUnHg4LHaTZ+97ce/+Y2vFMsr3Z+dmf6nTc/6JwO8u7Qfa+3zz5x4sG5MiJTKZQVtBjKXRcs0tkoc0JM8PZyBO5MfaUCa10oU7VdZf6ZNL6CsWKrM3NktA3hWg5Fl8jL21jqrO5F4nnT1G76gFriZJ40goVl34G43Q6bbQ9ZPd7hv74Bfev8sTx5bx7YZwVyzJE1qmmbN1a/UazH1IMTzxpxanMFTwlVKilTfkq5GiSSOFZtnLHEc0Y1qaaeMYThK6I0k9YGi5nv4Xg1PT3HZtpj/9m/n+bk/hXuf2kBipAN4YoniJGVywzgw1ELJyFe5BPM88HTqXCnpcgFpLkIKXJOJKM5hmTSsTTPBJmX1TB6myaEsW5wkpddNITlz+ZnYfCVO8upOW2XyxGVYR6Mxt9x+f/2CXbueX179/n8B+Je+eDNPHNSNZPnjfr/XdUASYKUFVYAske5qzoDutJcDujGWRJODvQrsTIbYHOg2kyPZ46d5b1IURVSuYULk4FZSpo0SmTyBmgeBb6jXLPXA6edGPaLdCJluDlk30+HBAyN+8X0zPH5sPVumFeubhqm6oFWTNGqKRl1Qr7mLw6X6Q+7dI+iPfGoqS2q5VS1rQkiMIIo1zZrihit73Pdkm0HkZMpwnDAYKnqBIvAVvuen+nmay7cbfv0HzvPTfwL37NlAZCSRMWmzdNGDOfYlgW8ce3tFHb1W2UEqUwoZJ9Ms71ogz5JCNgN4Cvgkd15Yc+U1aSxljM2JLCe4EthNYlODwX33UkpWOl0+9Nef8n/uP7yp8cUv3jx45Stf/b8e4KdOHmfTpi3TN3/+U3984qR4scZV4Qlp0QgXsKQnLDFpkJktW5KUsYur3CixNmuXAG1yYBdNwaTaO/8y0mSSkCm40yIjlQMcVFox6GnwPVwnkJ8WWAUJ9VRetOpjplpDZlpdHjk45hffN8OjRzewaVqzvmGYqkOzJmjWFY26opGzd0ItiGk1Rtz+qM9Kp8bMTJEmzwBjUm0aJYoNc4pXPKvP7Q8Y10UTmhLIJTVPUvM0nvbRuo6Uhsu3W37tB87z039iuWffBiKjidIKQFf26pg8iGReXehridZpEZYUKJ2dG/L3l12EmVQRWVUaRUJo8jCle2NK9/nKW4DbmDWAXX4tKcwDKQVaGGbq4YsfevTQn77pm9/0w0ePHVu5YOfO/7UAH3RPc2w4/9PD7pFvN+Eiuq6Q0uk3UwK3ypamFOhOZ2dXeXHFZ/IjyWUIOXtXAslJ5k6RnmXkcu0tswq6QndnFYNa4eoztMXzXGNxzTfU/IR6LaZRi2jWxrQaI2anOjy0f8zP/Mk6Hjm8kQ3THhsaCVMNm4I7Ze+apB449q8FMY0gJDZjemGAUK4GR5WKnWzq+iQmLRCLPJr+yJULhDVmMpCPEga+Y/DAl64mXmcb0FquusDyrh8+x0/+keGevRuJjGacCMLEpCwuqEWGwLP4nutd1WncoZUrEVZSpucn7crP7kuFWfmFWY51JsCdk1CJmMrgzuOqUl4kd8JKrJ2B29rUsFSC46fmaT5x8Nu3bHv0UBhGP/e/lMG7yydoTW/d+cAd77taJSeZmbJIkeTrWWYv5W9cilLgKHJwJ6Wa5Gw0ms2CSVsEYgVTFFlJW14zM9YuB5XZcpt26Kg0mNI67QxKi5Cy6sGal6S6OaJeGzPTHjDV7HHvnpiffc86Hj68kfVTmvX1hKmapZWCu15zdmIG7nqQUPNj2s2QPUcttz3UxJcST5k0iCt0ZLZ8R4kiNpqXPjviogv7HDpeZ32DtDvdda4PRikLa4XWXposc971lTvh139wgZ/7E8OdT65nFNVdMiy2NFLbLfBwINfZ6mXy3lapknyFU1KUAC5KIGeVXilAbqsAzysUi5V3rZW5YHdycLtmlDRPl/45VzYgeHzvKYR3/9W/8FM/uPPA4ZPHLr5w29cf4P3OKfza1AVnjt3zOyZafJOWXZp1rwAgWWWaQGWRddlOshaTZHJErFrSMn/Y5p72hEuyyi1JmXsS3MIiVWYLOjBolbK2tvja4HmGwDMEfkzNj6kFIY3amNmpAcu9AXc8Ab/+4U08dnAd61JwT9ctrbqgWRO5V+6cF+PY23cArwdjwiRhNKxRU+4ik6K09JNpVpEGmtppeT12nemRKAHc4PsJvqfxPOmmCkgvBzgCrtkl+PUfXuY3/yrmnr1znO60GTUl04mlFVtq6cSBwLOp9585KTZn70yqZADP32/6pss4zxVi+qVkq2oB7qqkNDbDhS193zb/3hNT/p3qqpDJopX+gFNnl970mZvvSV5y47N+/PDR00cvvGDL1xfg3eVjaK/+vOX5p94yWNlLvRZgbJyCVeTgzgMOK3Pmzq0kJXJJ4kAt0qUtS9jYVR+umpysqsJ8bgrlYCmrVrSl4UCuLNbTJh0zkeTgDvwU3LN95peH/NpfNvjkl9ez0J9h/ZRkfS0Fd83p7kYaWNYDSSOwKYM77V0LQiDklkd8liOfuYBKPTaiukIliWt+aAeal1834N59Ib0oYCrvWDf4Y1er7msHcJ02ZAvpEjRYuGy75N0/1uXT9w751fdv5OTCDMNpzbQvaMWGRgxB5EYv+8oNNPKyQFOKPAjO7suBevnCFCLvFcm/H5iQkGVgl+InUwJ/OY9RYfi1dL2FxCjuf+QAWzZvfMv0VPMvu73h0a8rg0dhH+01Lj53/Pb/0F96lFoNIK5kt2wG4iz7lWRXqawAOtfaOagzCWILG2qStcuyJD3RGbNk6ebMBVAZwJVFSwds19vp+jt9L8H3Ymp+ROBHtOpDtB5w+6MJf/qZNjfdtYHQtNnQFqyrOVniLMDMJ1fpIVLmLrN3hNZj7n5qmkGo2dzI3s8kg2ermySKFTVP8fzLh8TGAXwYCde1nnWuj40LDnU6Gya190SaXLcI1k0Lvv1lfVrBad7/mSF3PDXH2ajOoCZpx5amtg7kOo1DlE3jkrT4TWbnUBS149LNFsvO9eSOgrlUyUZUUAVoOY4qs3TG6FlOw5TYu1jRSxakhcR63Hr3U1x3zaX/4c3f9MKHu73BgXbrq4+E+6oAv/2BQyTLn2AsZraI8d6X1L3TGK9GkpiiRsEUma4c4Cp7bovXK4GkqGpt0mRCBdgl66FsXwk7IU2yrJyrGHSj3Uxa852CW7lajMCL8P2ImhfSaIzw/QEfvlnzG3++gUPzs3hBjU0twWyQ0A4szQCaaYd9PXDZzlqaEHL1K0m6Ejh5stBN6Ic+vlL40uYBJqWPkl3YWe1GGHvUvRGbpoesDFoMI5GOW3Oxguclqc2nUrszDewrgaurfHzTi/pcf8U8v/4XIz70ufUsxU0GgUfTk7S1q8EJNPiKvBlCZ0mfdOWTuVQpEkBlUqmKlTLQq/KiIjcq2nwSzJTALErMXWrEMIpzJ7v8w+37XnKmm2w5eaZ3wNonEeLK/28Aj+KEO4++9gIV3v+e9dzJ+pmQ/kikYwDKRThFvUJev1B+bLNsmChAbYsA0yJKkkRMSJMM3LZgE5kN4iwBXFpUOnqiYO4kBXmMr50kCfwxgTfk6LmY9366ySfunOPwuRnaDY/ZGswECa3Apqn3DNwyBbfMk0K1VHsHvrtw2s0xH79bc+BYnVo6gStvF6NAeT7GwTodHsWay3bCG67v8aefnaPf0LTT2SNBmMYNyqC1TMfWUQK5V6JUtyrsWCf52e8acPWuk/zJTbMcPjvFUlxn4GmaStBIge5L6y6c1GXKV7/svGb2IU6fF5lOu9onz4gpK53IffPVlqKtMHYJ0GXGTm3k2LqegaERLI80Dzz1AP/+uze/57pvu/J10P2qUuUrAnw4GlMLfP7gQ/dsO3b0kd3f/OxTXLipTWIkSpq8dDJRruIsW3ZNWnJpy+DOi3cy9s6O7CSInAUKVsho21Z0YAZsd5+NUnbgdq5Jxt4Jno5d546OCYIxvh7TS0L+8KM+7//0Jk4tTmNUndkpxaxvmfINjZS5G3n6XqZ1Kqk0Sb3zHNy+y16Oo5ADJwP6YcBMkLo4WdIpcyWyLKwt1aREmnZTs2tbiApG9MIWQ19QT0ei+Tobn+Ekis5cD6GeJnhVrJ8a8ENvGvCWl57l/Z/u8t6PzbEwbDLUNWpa0dCCunL1937a7aOkSLObpKuhXZvJWUOuTDosQCWWykBdIrJJJk9SWZKkj2MDoYFRIugngjBKsOMTBOau3SC2JbzuqDVjhAz+aQDfd/Qs6+fa6zfP6Y++5733et/+AoHnjQl8iZSGONYopfL5fiYtrTSlKrScsbNgtAzsFPAFYwvsmu/EluxAmwO7Ik9kNiwocQDXCVol+F5EzQ/xvZDOKOTuxyQfvrnNx+6cY5S08H2fOV8w7RuavqURWBp+Ae5aIAkCSZBKE5cYSp2JFOC+5zKfR85Y7niwQRh5BE27KsDMblWHybV0eZ7mFdf3+MgX++w72WRYc6MZxp7Fj8GLDF5oUEo631oKpJDFcB+K85kYSWwkjUCzcXrIT37bgMt3jPnQzS0e2DPF/LDJSPl4nqamBXUJQTZgKbNXZdp9JSiBvFqzMlmcVWb0jKAmHbHseRF0ioK9bQpsm5VEO3CPjCVJIoiHCAtieKtH+OqPCrH4LGOX5//JDL5pw2Z56/1PPu8P/vILU9E4RiiL0iG+Vnl/Y5xox+ZGYo0gsTJn80KOVGVJfmTATiVKmcErhT+uR8cxeZ5SNnm5p9PdFq0SB3CV5HJE64hOP+KuJwR/9tk2Nz80xVKnhazXaNUV056l7RsanqXhW+o+KWs75q4HkpqvqPmCmk9aoWdScBsCz+lvpcfsPwmnOjWXWEn1bTVxUtTPuD7ItC7aSMJQs7EtuHj7kMePxwwij3E649sPceBT2WTdLFEDcqIzJ7t4MhsySlx9+NtfMeQ1z13mSw/3+ODn2jywp81ir0FH+vR9ja/clINA4no4pdulToniIlUiLftdg8FX1a9MMnmJ0AwTEgVy5o6tIDIQGkFoMy88hmQMJkyN8jHJ8t9N0dDPU41nf5avMDzoKzP4kaOBsNEfPbrnaHNzkF61MkarKP1QGqkMJlEpqCWJlVgjJ4BdYm+T6dASwEsnpMILFWliKwX6TpaYVHMblEzcQPzMzZAR872Y2x/UfOauFp+8Y4rz3SaiVsNrebQ1THmuk6fukcoOqPsiPWRacprqbl8QZOydAVzH+H5MzQ+xNuKWhwKOnamzblbgSVNMx12D7fLy01RSDMceOzcKXnHdgE98OaQfeQwjQc1z/ap+OlmqWKVU7lcjZEWm2LTXsTABnN9eD8a8/WVDXnX9In9/Z49P39Xg9sdanO80GAqfoa/RnkIL4VoIpcQTNpVaFoUoScOqfbgGmVdcsIK5RR6AJraQJXH6PEqliZtAlhazmDA9YlLPhmS0r0kt/qNkeOhyYPiPBvj8siWKht95+viXpuvmBIycJBbKoFSUOhkGZTSJTJzmTrvZTanp12Y7EFvnjVe+BHC9k2vUBFYCyhKwhTCpHehmGWZyxNcRtVrEaJyw7xQcPa346y9M8dkH2pxfboJXQ7c9GkrS8iwtbah7lroHNc+Bu+a5mYSuzFSWDpH+3KYgNznIfc+1px06bXj8SACely7ztpSiFxUUlIMwVy8tiBM3zvmqXWOu2NZn76kGw5qgEQuCyDJWpNaeSdk7c1MyC7LQKrnPnsVERqXTB9zgnXp9zPe8dswbb1jh8w/2+ZsvNjh6usbeUw3ClYA40Iy0Rirp0vmATu8zJs+lC0Xwv+qWuykFqB1bi9Lj4jAZqK0BkhTcEdgYbOSeWwstOLMyz+FDDxLb6a/E0U8P8OXOkkiS8Y8OOg9M/+R3d1mcV0w1LEjwmxE2SojChCRJUDZlcFvuaJelwLI0wgGRgprS/QS8s0g913wuqeEkiUl3eUgIAjdJNU4Szi7CF27VHDpZ57b76pxarnPodBOCANXQ1LSiqS1NbZyL4LnB+TXPjWtzIM4OmR4qBTip5k7B7SUEnmNvd2GFHJmHPUcbeLJqD+YShaIePHcUMifFpH2NsccVO4dcvGHAE4djBrFHKxKMNfixmwmoSgCXUiCkrDA5VAO3XAYlMu+jjBKPsefTrof861ePedHVXU4td7nlfp/DJwI+/1CD04s1kqGHkZrIVwgp3UqRduVLyKclZLJlLZBXAk3KWerMbUlfzXppy+C2iWPtyEAUg41Z6Qs++tkG588Ltq1/aN2Pfv9P/AcTHnyX9C9aM3x7WoA3xn+OsTHPuXAvO1424GOfafAzvz3Fq14y5vILIrbOJly0M8QjxoQSY1V6MtVqkKd9fpRGORTtZZOBpS1F7AVr51JEJXhBQpRYDp8QPH5Y8YX7GjxxxOepI3W644BxGIDno9oegRI0FDS0oV7ygQOd1WlkZbOuLjxIZYnvK3xfpheALbS3l7jMoud0fs2PsCbk3JJkbAO0lvjSoks22wSB5yBPbLXfMYw9BJr1syFSjehHHgMtnNMRFQVjWplKBlJmJjVANuwIkUvFrLUsG4zkJSofPzEY+2yaCdmxMeLZF44ZhkP+zZEOTxz1+cK9NR4/UuPw8RpRrCBQWKlASBJZygblSYo1tEpFnGc+cHZvSvfpkbG0TSAyaAy7LwjZMhtx2a6I17xkzE23BXzs0w127x40F8xD3661965/FIOHi3+BTVZU3H9IbNk9Yu9JyQc+VefOBwJufazGlG/ZsS3iqksjXv3cMS+/NgQb43lQb4apzpZgBHHkWD0LJCsMXr7krQM06fwST1sQBiEtUWgZjByjHz0p+aubAwaR4pGnahw8EbDQ9xknPmgflIdqK3wpqCtoKEtN4caZqbTwSDnW9j3hkh5lcHsSP5UlgQ+BT+qauJS5pw2+F6cZ0Yh6LeT8csIX7mnR6QXMTAl06sVnRV/i6ZjNlAJCIxmPFevmFK+5YcTnHxhyvNNk6EknUzR4scWLMs869dhl4uxCyrNOZP43jNWlv+GA7ieKRCtiz419iCLPWaleRNOPeNFVMc+/fMybXzJi/wnJo3s8hqHiQ19ocOSsB0IyGGqSUGXlm1idAXzCMiqnbysAB6xBJBZhCmlSbyZ4nkFYw8uvG/Pq68dceVnIzm0xU55l/TrDxrbhrgdrPLHXY+QdEN/04qvUr7/nH+Kf+cF/9TUyuAChp/7Q1/PX7DkMP/buGb78eB1bl8z3JPMWjiz63PM4fPSLCetnYqw1XHdJxNtfOUq7NWD9lOHaq0KatXTlsSLPgYk1/mg2nKczEDz6mGaxK6nXJPft8fjUnTVGkWIUKc6c9TFCE1kPIzzQGhFotJT4SlCTlloK7EBZAmVdDbhOPV9dMLef9WXm4FZpj6bI2dv3DL6fFWglOXv7foRSIbc+rPjEl1soXzu7raK/n57BMy88STLHQzEaebzxxiGfvLvLh26Zoh/XaKY63Mt0eJQlZWzeLSSEzAHm/pQsaf0SwI1j8lg7Jve0ItYaHScO6CpBKTdIf6YWc+OlMTdcGmHFmLe+bMAocuPc/uHOgPv3+NQDwUJX8egTPt2BTFWS4GlFeb7zhGsNvPbaiHXTSd708PZXDrn24ghrYf2MYXbaoFO70howA8GNV435/Z9e5sd+UzI4P3/N+tnmH1rLD31NDG7tEjDTNt0/uHT/yZH6sXdPcdtDLWKliwwAztoZW8u5juXcitsyY/9xy6dudVeiTSxTM4bnXRPSqrs64DXTk5Wryi25K33FA4/7dDsKqaWbiWK1YyahcXOBNUiNlBJPCgdmaQmkwZcOCL4CXxUz+hzIRdHwoF0jQNZ4XAa3Y/i0rNbLGDwpHTGBjrA25NSCTziuEUxJ/DTtrdKqvEoWU1CQV8k6zbvTjSKMPGZaiu3rQnwxYhgHDGNBXbshmFkNSZbQUrJc3irzv+X+RpZsM0X21Ji0Z7KQRnGcpHkDlc5lj4niBBW5XIJWCVLGbFtn0hXDcPmOEaEdIrWh0xE88LhmZSBRuWKpBtWVbzotxmrWDM+/JmJqxmBjt7LXVQoxBMYoTKyJJiaUSZvw8utCfvc/LfBz72mpcwu9S9/9M9/R/q5vHnQv2FytT1kN8OQUQp571xN79r7sx/+H4raHpom9AKQCoSauzNKSA8TW0Mk0lbJ0Vyxnbm2WPuJaAC/rt/TLEQKTbblAWnMqVBHkSJlaWRmo07SzJN24NfONS/c67aRXpFvvkYPbtXUp/BTcviYvMXUMnrK4NvhpdtTzIoIg4sSC4S8+3wTtuxmLspTgqYBv4rRRMLhrIJb5YJ0w8njHa4b8/e1DnjrXop94NGK3Ka2rArRFJ47KcgLlYC8rXcykkCwVeGWHyWthtFZ4iZuX4qVAV7JImrm68fSxMOngoAQtLMImrGsYvumFBkSSykxAZPtnrPGd5zVGAozCRDqP0+JIEiFKhoS7ULMTJ4VFJO69veI5Ib/6A0f52JefeNm9jx97VxzHP/JVGfwzX/w4Wkv/dz/Y5dZH15MENZBeNaDI33fJ6GRSY1lQlsQrgXtNfGfslgG8GrwIKfMWNCXAEy6tHAhXLehJ91xL0pqKtHs8KyTSlOagkO7MVnTVFwCXuWwJfJu3tPm+KQ3OifFS9vZ1hJQhx84K5rs1hNYEkoo8keWPVfq6y9KhArzU6Qhjj7n2mJ2bhuw9O2aYaEYJBInASyxenOrwmNxZKlLoqtKpkH1NzrrNumhESRoZdGJIlETpbPtylRarJUhl0pXCFNZsCnKR/W3clCwhbe56ZUDPHLDy588AXiT3ivsc2GRGRLUuKTceEouOPV5yzZip5uM8eN+HfSmTVfBaBfD//CcjhIADR6axtRilFFi5SlJNZqwyA74qQ76aLCHtyikV1guBpEgR52OWhcUTKWhTCZA9zl9Lyb4oBSVvsPWVcGCvgFu6ez8DehZ8puDOun+0ySWKp50+9f2ImIhP313n3Hwdb0rhl2s4yg4KE6evnLouFaZlSZ/R2E2wff0L+tz92IhuXGOgNfXYEKbpdCWLgqh8+0VhKDqHyjmHsnWYzlSxkCj3N7URxEqgE5nuYudqeeIU6EUyzeQJNilNKfFm8u0fC3CnNm++V4wt8XnVXKgCOrOTqxeoRVTOocASYhGyxiVbYMeGQ/mF9LQA/+BHbmaqVXvhe//mzutPe12U0EXZY5mBssxU+t9l9SR5XQlffeOVXJBkyQIBKrsXFg251abSlLGbb1JoXJUBOx2on41CKAM7n4OicP2IawE8Czgz3a0zWWJTvV2tJfe9CN8LOdsxPHSwDtpPB/rbPD2fMzhVFs+Yq/CBy32pMvfEo8jjuovGzE0P6Sw3GMSKhgIvdp9FJW6AkorKAMeBPP9DcqJSU6R9k2ndkDIkRuAZQaIkiTIkShCnIC8Xr2XlEDIDeQnUWcmEwKQgTwGdZ6KLpF2lGKNSv1J6bkXRHFJm+TJHlGqaYqNR/sbrmxte+8LTh99615YLX782wOM4pDew39Ty4msbYkQj8IjLjQklxjaVx6IE9BT0rFYkIr1KymZSdpVnWbECHMWg/MkSTp3VRqQ14Fmpp2suzjpVnCxRefdKAeys+daxd6q5NbnezixBx9gFuL28OjFCEHHTnQF3P9FCBhpfCjd/O68gLNroioq/yWxmqX4+nwGoSIxiOPK44cohb3hRj/fe1CJMAvqJpJZYxjHpylWu+jOpnDMTF9TTMTkYLdOeSJGDO1ESpYxjdCnT0RKmVIpcrgGyBcgr2eaMydPvXZTWe7FKDFTYu8LkT/d6XmbtyhHGY4Ou62uDcPhNxsR3rcngh46cZHqq9ZqP/N0Xvuv8+XlagSSxltimTcMZgPP0a8HW2d43laxkfgUWjA2FPCyDOwOALIFCUtQ8lEcbZMzttiDJnpMyOHkbVoXF024YT1XB7cYpTDB32rPpp+1tns4aDuLSERES8Te3tElsgMqzl+UAs+hrzJyNigZnol3PSDcdKsmCTY3A4+0vH/CXnx6zYiKGSY1hIvBichaX0iJjkRedObtwcv2UJWtSlEAuSHQ6tkGlINcWZZxcyWZKul2oDUrKvDS5sCjL1Z1FGXPelJID3eZf/CqAT4ZnVjiZPlGEV9bkWYVqbNy+TMPOIo3p3nftuPjVt/VWTn6+Nb2tCvBxGDEcjS9a7vR3L3f6+J5PYkAbi5EUI9NyKVKkW8tLzVdR3O5DZ0xekic50EU1QMu1+ITmzEBfnu2hlCi0eFpxVxl2kwJbK1E4Kbkd6DruXWOyTZm7CDB1ib0DL+Shg5IDp2tY5aGkxJcGPVmnURLgky5KduSdTqXmkMxRiWKP3Vsirriwz5f314mUzzAW1CR4iUXHIpVvaRdOnOpwpJMLlT8pSiwuStKoGOWRzYTUyqTgTtvZlC2BO6sFsmmZQMbk5KuHKIEbkU3Menr2XgPvBdArRCoqcYvNZF0iiKI+SdzfnSTji4yJPr+Kwc+eX6bfH9Hvj/Lh9FKAkQ7QKmeAQjtm9+WT+NXedlma5IAvA70EbpXXfBe2WyFZhOueFwW4XZAp8m5xnYNbVgBeHv7juu3JgZ1nK3PmTvC1S+y4rqAIS8Tf3tJgcbGOCLTz3csX4WQNSn51U2Kjol2rXMede9NGEUWadbOSt72ix0MH24yTGgPlU0+cFs/KWZUkBXe2VpjUEy9HQ6VscvY303mP5alU7pAok61INn/sAC7Tz2nytrmsy18IWTRHTDL4RNNKNaqrUGAVU7YaaLrzJiuNM9l9FI0YDRaJ41H+3+cAf98H/x6lJAtLKzRqCilxzG3KA3iKnsks0KwGCl+ZvzP/v5AnE/dlQJdZvDJerGBsWWZwJUosnskVidJVgPs6HQDkZVsHphlObfHyVLxJHyeVQyvXufPUMfjozS3G0kdJlWYvqxfiZAZz8tLPVWnGSOU2v5TB40QTJJq3vXrEn312wGOH60TKYyAlfmJS90ggE1s6T9a1l4nyemrSv1Xdt6jM5G61zixEN9papSUBKrHFsM58LovIL+h4Qo+777NcLEeJyTOQf2WsFHp7IkjOCSFj8Oxi9Vk4u59e55xL+5cBfvz4KbZv39L4+f/6h7sWFxbwPacfjXUTqoqu52IOBpUr66vfhJh8vFp7P71EETlwJschyxJjZ0FmNrVJ62yT11R7qwlwZ+l7L2tMNm5mSN4ilvV0xukRobyQA6c0vdAHpVN5YifKYycv3CrCqwONJrzwtBunSPxomp7g0q0jHjsQkpiAofGpJa5mW6caXAm3katLLGVsaciCzILJiyK4rMNd54NNRf6dJ9IBXqW7U0hTTAjIpmslWXd/bgAUwWUeeE5839nlvVZ9zmTXRBVnopDIE5LOpKuRFYbm9Lpd17/k3zVWln5oMD272QH81JmzrHQ6r969c/1PP/nEE9QDkV/JiXA2eN4BnV9VtlhuWWOxsROgLrF3BnKBy+eUgVAAu+hjVCVWVJWhmhnIKWqkVQnU+eM0yaNIvXAHbgfgYiiQV5YnZfZWaV+nH7LUM/w/f9dicVhDBJ6TJ9JWVpVicM5X1pyVaQI5E2UM7hyVONa0G5p3fkuPLz3UZnHsE0rNUEr8tIeyGPmQMni5nl6YvIzWYlJwGyzlOn3H5jqdUZIF6RnYlRQpgztJlOQuCrlMKXR40U5YyJQs8Cyswux1W8JG+bzkeMqL9EpyLhv9Z0sJKyPoDRNmN2/86VMn9t8VhaO/zxl87969BL7P2TMnqfsWhCKM3LYhMnHdFdI6yTI5cSp7Q2vT9truCRPsVmhwUYBcTkqU6mCaHNhSIFUxfkyVQK2lRKeSROcAzzS3yYNKT5sc3J7O6i+q7O2pCN8P+etbPJ48VAfpIaUkyEpjS9Zmvkd8+iGftpqwxOZ5d3lJpsRGpps8eVy1e8CbXtTlzz5bw+iAofQJpMiTPkoKolJAN8nkoszkthy0FTUxRoGyblVwE8rIZzs6VhcUYyWKWTTFZNp0Rz1ZlSe5s1LGwcTzNQmgzOYTfbz5MP50a5QoknQHMUePnWY49ohjtzGEBphu1wkCn5m261MMk9QpSdI3kXbGS2vzJMXXJE1KbonDdVaYb1cNlKl4xnlgKQo2zxnyqwFcFgDPEz0ZwK2bk51KEU8VbolXGg5UaG7H3p52U6uWO4Z/uLXFQieAWuqeiFIw9jQSBVHNwpUrHFbZdpllaCQmydwUzUxb8a9eNuCTd49Y7AeESjNMZGpPitS9EUUztizYMgN2XtNhweRsXsRXOnNWVPpYps/T8dfZeS+DXEhB0X2fDfFMpUlFj4sJuSLWAHjO585qyyYtZMG5LV+U2VQCt9HVOJL0+m6PonHsE7muSvS504dotacvOLD3oR89vO889bpH1Df5npYquxqNg6jzwqudOKvi4BJbWya+7IypJxi8wt6Vk5UmTirArs7+Lne4uOHuVMGd7WyQMbcqMfcqBs/GTRQjJ7RymcsjRwX7j9UwBAip8+bconqwHD+IkqtRfPhyLUrB5KK09IrcycjbzRINVnPZzpDdm0cs7q1jE9+xeOJkii65OAV7lgu9UsGdldGCe543pqQriSzmRpZjG2UojIeSoyVkQUY5uI1IZ6lkmlxMSJVq43J+ZipEUErXTxCCpdSRnw91dcOBnth7mvbc7h994Y0vfOTJPQeO6ulWD78hNtVqy685ce4wK/1ZTFJ0SeZT/53LhCzJk6dVJhPOweQsjQzQ5VR25bVSL2PhTIhSsFkA2jE46Sjgsg9ePtItrVUZ3CWQp/vVe2lpaMbeKn2udYRSEZ/+cosDC3XwC3nilazLygVLSaY83QKXs2c54MwymlUtHoaaC9eFvP6GAfc/1QDjESdOi3tJmt1NqlKpYM5ylJSC3NoKG+aPZfo4i7tkdrhzn6QrhhQpq5tshbU5MRUJn/Jj0uSPKMnUskx5+ra3sloopErR6ylSW3v9DCysHKI7uvY1x8+NNw0G0VF98JRkdlpy3x7FzffDhnZMI6Dyh6WwX5vmzt94CeCVD7TaXSiz+WSAlgFarAHsnM2VKDXhlsCdzicstu1gNbB1MSAoH/GmTQry2MkTFVFvhHx5n+Lvb20yHPnQ0Ggp8ERVmky+//JnXhPgTOjvCcuw7ItHsWaqpXnzS0d89u4B9+3zsU2PYRLgC/ILTeV/v9DB1XDOgbycs3DBZ3qBKcfmiXR63JRYOwvqTRpcSiNK+luUAt1qDJUH26W4wL0m1gD6VyYE935FAXqbxiC+pVlL2Lk5ZvulCTPrYuKpBL24ZEmMYWVFYSIfa6zbU0eWnYDVdkAZ45Pva62AsgpwUWW7kmNSfpxLEVGAWqrS7g1KpLUpBbgLkGdlsxatixHKOt2ESasq0L2crd2hlAswfT8kChM+e0+Dp443wPMQUqWgSueGlIJLIatf6qRrlDNSvtym1uuk7ZXPlynswjDUXL4j5rUv6PPo0Trj2CeRHkOj8BMm3kvmhTPB4O7eTrwXVHaxGYwSqIwppcAqt3JnejxfUSVIU5plaIpVQ04CfDIuYQL4/4hM5ypOTeWZkBYtm7QCzVQ9IVIG/ZGP3oTWiqXlLrNthVITwJ38o1/pTaxyTVaP312Luaugzhi7HGAWOxAU0qRkFeaMnQG8mJyaS5SUuR1j25ypdX5fPPbS4FKriMAPeeKY4PN3NxgMfWh6SJFVDlKyB9fIYpY+Z5kKslqULIKqDpKfSPiUCrDCyKPVCnntjWM+efuIRw8HoH1GRuKnWlwZt8FuWRqIhFweOOMgN+FyYFvrVr5cukjH5tmqkgX5zmxIpUnK6MKU3RSRx2wZs0/mOFYBfAL0X4nNV2OxWIuSRDAY1zm4/1GOHz2MsQl6fn4BKQVhFFHzXIBWbpheFQyU9VLpL656o9n/5VetqFzBa7K4LIG9rLlzkDu9Xc5mZu83qyh07VzpY12eDz4B7vTwsim0aYG/VrE7dITnRcQ24aa76tzxRB1qGqRraPZKJbyV0tjyUX6yxq0yU5usnJW8GTmx2VyTAujjkcdLrhrw+hcOePJYjTj2sEIxFBovIX9PIilYvHgLazN5eYi9UhlzOzZ3zwXSiFyH535/xujZapsyeD60cwLclYAzZ2+b42NNUl2FvZLEsWCF+xwiHY1hDNjeAKVCrLXowE8bVhEkMSVAUZENk1pyrcdlt6D8BZeZGoppq/lFJMTECZkAdkWqlNP0pUNNgFuVDl1sgpoB2iuBOnNOnGPi7pWK8L2IR45KPnpLC/BBegih8i4ilW6kWs66lh2h7NsROSGUbLBSkqxg7pIGTz1eo9LRD/k+8RprNW9/+ZAv3DPigUNukkBkFINEpAVfKeiSzI4r1YEUlxdklq+iAvTspyoFvZHpfj5ZUJxpb5myuXD3+XdoSgM7Zenir4Db5udoMikmSm92tT6vEqWU1pWVGUuW4kJKDMoBXGvHmMZUAzhRWm5yJ6WimVZfXVUpIib+G/dFFxH1GjsJiJSlhXB/P9N2GXNkgVwZ5GlrWrHZlNvZoRiAX4C7wtql+6yxNpMqSsV4XkyUxNx2X53HD9bB80C64NIXtjQ5thxYiVWB1aQ8ycBjSw/yBoiJark82EwkRqWOSqIZhx5X7h7xkuc5Fh8mjsXHwmdkQCeiCPySzC5M04NJ6SLDVhyxsh2nJFhlkVakhXYuEBVpKau0opAqpaCyYO/0ezXlC780132NPEhFh4sSPUzgLEtmSeFWPSmtk1QmJZPYnTsAbXOaz3RbmTHXkBal36WytJTeSLaU5L9bDVhz+2rCManuETNRfyLI997Jdy/Omm8rDQ/F1iVKTYC7NBQ/d09UgtIlgKcSxdcRB84IPvjZFuPIg4aXyhPy1jRV3iU4v3CL+KOiV1bpkyrQyzKlvDmAsWtpcU0zkHz3awfcdEeTfafcxZcYxSBRrsowSZM/uLVcJKKkVwuQZ0VyZYBLW2hxmWp0aRyIhHT6XKayJY+VMiY35VhqjZWtDGhRwkqGpTVitgqJitQDEgIjSB0+d7Eh04s5NSCstajf+913b9Ra/4+Dh45eBllxTbmYqeRBq5IvLdIxvkLk9SFZcOg0cnWfSlWRG+WfZeOA0/t0PHAO3IkjG5lQ9rjze13obuegVMFd3qunKKZKd3/QUd7M4OmQRIb82aca/OXnpyEIQNVQStNQlrqy6TgK8gZnr9QaV2RSy4koSTEZlkqAWsQShe2YXbRCkjb+Fr2QSlqENWzfFHJqQfLg4z6xcJMHjFAI4Upp14p7qiaBKPchFM9tSdSkYC8uBgrnByY0fDr/O3ttraP835TcJEMpD1CaZViNUUqJsfyYkILC2aA7L7xu08WXv/CL+sm9x6bPzXdeNxyFNOteSQIULDoZFOasXF5KxGoWz+VM6XFlVZh4ni91Zdau1IHbivaWORgKSaJK2lvlOz2UNqJSdkKSZJWCGXtHeDpi/2nJR77UwM1fceydd+5nf19QGS8sS5+7HGiK8pMcQBPgMNU0dFYxlw0wTbLBpokiUakWTzTf9ooBn7itwZ6THsgQKySjxEOn+Ys8rknLLkhEDgsH1ZJ0ykoxcLOxsveWJfdkWq4hrch1t7Tub1iT+uMmDVArq3OVzVdLk4nXyspAlDFWrm0pVgUrXbwArnQAMwaz8rph7+i0Ho7GjMcucZ9N+FdKrpYoYhLUYtWbYhXoReUNi4l/T06chLJ+q9SAp8mE8j4yhQYvtgrMdlZTE+B2E1lNeu/sQKUMKvO7VYySMSqVJ4mK+dRdTfYcKLS3FNJ533kHDWt+gau+gIIbKxq8eFxtQK544qWJVNoIV5siixR+GGkuv2jMG1/Y59BHAsJEgdAkQjMUAp2k9l3GbpkUKNuEFP3qNtVL1gqULYpArEyX+zKjCluk+AUY6YBvMplSMilMBUOlAFFUATxJjpXnpYDUUMhCp8PJ68eFcaSTxBFJNEbXA0G95qaqejpLnpSzUmUglxn6qzG4WPXGyl/6ZCJg7eaGKmtnzzPWzsCeMXcOdFVm8kJ3qyyIzLY4kQYti6H5SiV4XsThM4r/+fE2I+mRTdAquubTFaRcA13WkxXR+PS3vCIzT5M7ujSVlH1Zg4tKfUpiNHHiESQxP/KWPn93W4NDpzWoCIwmEh5DIVBJ4WjIcrA5AfLMm7e4wCxfYRBI69LzFpuyduaJmwqb2/TvGCkQtlg9VpsJlIC6WmuvBvYE6AV5sZ7729ZZltm03lgyCjV+pNGNmqRZkzRqboxCbtaXvUyKL6/M1NWgctLfrCZy8seSiQ890dyQAX+CtbNEShXcppAossrguuJvp2Cu+N2lQzoW93RINzS895NtTp0PQOnUGpSpPLEV3zt/PPFFrVq1vhLQy1IlbzwoF/RnKfxi9nreDCEVSazZun7MD7ypx69/0KcTuYDAWsnYKGcbJtn7sJAICoVdgLz4f/cTlV6F6fym4l4Wjo+UtmBwW/ruUsvQ5gz+NAHnWvJETOJqbdCb9L8xAlfclWZVEwPWKPpDifIluua7rfEaNYXWMv9HqiZ9SQ+tcktKzF25ykRlKQImPNG1mTsDdsHaxZTWnL3TgvsC0CUm1yZldJNLEydHTEmqZIwd5/daRegg4mM3Bbznb9uMjefkiVC5PMmbiicssYruzleyMqzXhrgtCLRkFZZBn6XsLcaYYg+kPPnjtgKv6Zgfemuf/cd83v8pp8VBkQjJyLiAUybkDF4UYGVfVpG6L9uVDtSFZHFuhbvIs0IxRzrW2YeVxI+TMdnfygBtMpJjUo9XJW+Ztb/i6xl+TEGkcSwYjAXeWKCzElPfKwC+NkOXgF76o5U3OLGU5I/Tf3ayNmF1YY6dkCi2FGSmW3SXtwxUZdfBlKRKBuYSk8uiOjDX3fm9mzW4tAx/96UGy+MM3A7gnnTaW4uqPKmsOpldVsJzDusSvstaO5cq6Q8qVX2TWy+aiTpxKVFGYYwmTjRTfsJbXjngE3c1WOwpkBEYRYTT45PVhdVL7umZ3OWBiqRQVp+SBZs2ZfEc0KlPbiwTjO2+T4RwDE8qZbKVruSBrxlgfo2AB4gjiOO0zzSrxss6zsn/gZJGE9UvK8/MPc0SU15KJpeeVQFZue0pB0xpRIS0Fe1dWGmrg8psOE0B7qQSYGZBZrbPjS6xt9eIuenWGvc9XseUtLdrasjkSbXeJG/NKi+jFT1e/GxtEk/Zs2x/WVspoTUl4OdBp5UoW/jiceKhTczzrwp5w3MH/MWnfVAhCIkVgrHRKCHcFiRlz3nCZCsX+GdMrrIeCevOf74rtSwVikk346XC3NZd8NnUv0Kq2CKus9nPqjXiq7zvHODFDyZ/Vv79DNzGukK8fAqUp5+eeqoAn7hyJq+qp5EhOYvLwu7JnRNZAGayFaoM7MJFSZ8ri05HjEmZOibSprq6JEkyx0SWJIp07kngRRw6LvngTS3O9ny337V0g96VoNixYSJeWKW7y67RGuw9easkekrMvmqrxWwLxkrXvds/x9277U82NhO+5w197no84NA5CSICFAbJSMjSJlIpqFJQ5zZm+YIr83mezUy/hzKbC/c4A3MmW7KV2f0sm/2eyZQiu1pIuozBy4FwNZ7LL8jSOa2c3vQzxIkbZmSNdRJFymzyavVCLn8Rk1dJ+R9fK+rNT2SFwSeG++QBZ6nyLa+vLjG3ygA/AfJ8Rvbk4yTX3hmL62wcsIpRMkGntqDvR4wTwx//dZs7Hqq73japnfaW0nXtiGL+Sv5es5VlcrWaYPLyeROT53QyiUFVi1fLZ8tltK7dzGSOSmKIpUbFmpc8O+QH397ll/7YZxxLl4Eykjh1VWQanbn35kBeGeFgXRcXpffnnotSbJB211uw0qYBpsgvAJuytbSZRWhzp4UKFtZg7RT85fNX+PaFTp/EZbn+N0mMG0ln3egQtHJbdWhdYpaSRlzzVmbytZibEqDhadyT8mCfNdi7tP+8XEueSJt3e7tts01JopTG/ma6O51xnQeXMsbzY255wOMTdzQYhx7Uda69c/bOA1sqxyrmLqE4B3spKJ9kjXJhUzELuwxusCqrMqzWiidGIo2TKhnQ41hTb8S85SVDbr5jyBceUM42RIKQREIzzMgnfZdZAJiztSyV8pZWGWcRZqBO36cElX6+7LlNpUkG9NyrFiJl7tR6llCeZjapqSfx5R7YyvPVOHVXUBwb4sT1OeiabwkDSz1wLJjV/04GQk+D8VWSxT23VfYuRc1leZIxdiWozMAuS45Fpn/z/dTd81x755NQC2BrNQF0VYBbp+D2vYiVvuWmuxrsO1Nz0kS4kliRaW9BaYKUXQXuXLLkF7aguuR/5ZvzwkVuyU2msHNwrxoOVNSoSKmQJkEaTTTWXLIp4g0v6nPfHp9OmKZfjdPjIYpsHwhJ6o2vOfjDaWxVdnqkc1tU2tJWsHkmVdKEj0hryHOgVzt5sibichyW46e0oqylsyfPXQHybM6jIYwSxmHCODToVs1gQkOrYdyA9KQQ6AXIxWqgV4Bd/ODpgktBKftHJk+qyZIiwCyAXYA788GL4FLmg9lthbErAWWWyCm7KNJ1yhsS/vzTdd7z8RZWaOd7V9ibQntXrMHVQM+ZO/uSKiywNntXKvmYALUtJopNtrJlWzYaYzCJxEjniytpiBIPqQw/9OYBB097vOcTmiguQG4QjIVEmWyQRKYbSiDPQZ3pCrcI5N+yyKYrUABdOCDL7D8TqVSxxYgJ0hjA5lLVnRxji+eVqbSTTFo+eeVzBqmV6iaxDYYJ/aGhMTLowI+oBxGNWkKYaOIYZEJhU00W21TlUOXxahfFVl4vrKqJoLL0WuZxZ8xezMRLve8Jx0Rm4FYT8mRiz3qV7j3jNHiE50ccPCv5xG1N+n0P6mo1e+c136XVRRQJnoocm3gMXz3JUzB4CfT5US0+Miar9ygBXWZAlxjptLiUmihKaDVj3vzSAZ+9s87BM2lSwQ2oJhGCYeqFCQHCpOC2BdhtDurULSGr98gWnMxJyVL3jr3djHdRkidVoNtKMF6qwqwEnZP4KtfPVPGYN24bS5K4dsvh2DIYGQYjg27UPeJQo5V1o9lkEVmLbLpnKRjKr6jCQazaNmuAGlIQywL4sgR4ORG8ZcMcVYnFy4kdKcqD2TPnxFS225AlWSJl6pikTK51zDgy3Hxvky89XHfDwaXnAD7B3lmRlxKiGgyzVq0OOcLFV0N2ldCrQC8dxqTZw8xJSbcicbrbFDLFSBIhUYnECEU01rzy2pBXPn/Iic94jI1MbQ3ptndEMxIgTWnbKiFyAztL/aiJLzyvFRfkwEeIguyt+06tSAPPCtDTvyXLGCk1SWfXFxPJxAmNXCgLWwF4bNze9okBoTy0DtCz67evDEfhZ4WofbPAbTDq/mGLMFR0+FrTY9cqUl8VZE6ydw7mIqAsz5Zexdo50Iuy0apzUtXfKk+/J6XHMVK6Th3px9z+gM9vfGCKxOrCOZEKIaTbB0gUafkqg5cdn7XZ+2tIYhbIpiCPyZR9Wa4YsqlXaTGWKByVXJNL540Lo4ljg+8n/Mz3dtl3UnP7/RLjixSy7gNERjGkLKhsSZasoclzLzxdbbP3m662mQ4X6QVgKEZJ2NL3L5IC2NnqDZlEgXwS7dOsgKutVZuWNDh7sFn3mZtpf/bCC3esqBuevbW/tLh4yFjxg0kSF0tCRXYURTNrOQnlmd2Ff03aPzlR5qpKgWOlMjADbNkCLCVySgFlXlD1NOAuSxVdSei4XsuTS4Lf+OAUdz3cdJvySNeOhvTQUlCXEEjSTa7s6trtypE2QOdDcqrDiLKad6kmGqZXnbc0G5qfw4msbpkMSnMAxaTUK//Mwrq5mEBb7nvMZ2VYqi1Iw8xsinhRcZhJgkok8TVcrRXKyy/cil7OflZ2JRHVWKRibJTMDluNC00pKHe1OzZf8er1gKXFhe958smn9unylhOQaUvHGEJmEz3txB+euLq+AnPnJz5bmsrSpOKilLfFqEoTuYbmznYYWPNQ5cAyLYVNHyd+wgc/OcXf39rE1tKtEaXT30LKSr9l0d/4FTrmc8kieFrKmXi59L2XibwKiIlu+8kOH5POD7Qpc1trihoVIZFGkQiNHCa85WVDnjrs8a73acIgLtldAms8xqTdVVl+PXHZGostQJmu1JY0u5nugpAaQC7YTANIF2iKvNbEZmn79Pu3UJUmaYybn9NM/n6FEctFiYOdMETKoAcdRu7aNcb9lfyPpTM78iHt6TvLtkwpB7YVP3NNkFdHilWdE7vqcQXsmd8tUoCXtHeFwWVSclLK4E6QpdqTL9wf8IHPNBklaWZLZNZgmrUUtqK910zNl4EOa3z2NaTK07CfTRGQec+rMprYVSW0VpYym7LkrAjl3ASZFmdJQ2I0gWf43tf3uedRny88LNMWRZlpRIzVjI1ImwVsJnypyJRUuuRSSggUNgV1CeQS1xuZam5TOn8F0EGUnZPy+SrHcJmDN3nqJuvnJ2JErdwmv8aAdk1GArfXok3Tq8W8aCmz5cGu+kOTxS7lEbkVYEub+8RlMFcAXrYHy+AWxc5eapUON1UPfJK9ZVIEmDpiMIZf/dMpDp8KsLrYLbmivTOJ9DRybJXmLr9WBrKYOElrgHxyBF41o1kuvirr8dW1KUamFYeyzOIKkRiE0MjQcOHWiF/4vg73/FRAb5R+GCPz95WgGWWAyoq7TQFyKwGTgtqSOywqDSgzYGeOikhrUnJtXiKBDOhCgrRZqYAoWDzDdaomWIPIV7ey2fw+MS6baaxFb908hZSK4aDHyvIAm7bbGyvyLZfzps6JW/4GVrFYeQj6JIuXA81SgLmmRDElH7zUl5iyec7cFdektDtv6nlrHREn8Acfa/Hw3przvGXG3IVz4omqLFGiytrlOGSSucnYRxRDN9fi61UsMeGcFA0QhTR0YLasqjYUjsHzoNNIB/JEYkR6JKlUMYbrLot457d2+J2/niZMUhaHPCpMUIyzznScTCmDPJcoomQbizTpY0psnrWupc9lyvwSkQ+NzRjalvCROXfla2ytYHM1excyJY4t036LxlTLbVF+6dXfhB80OXPiCTrLN6F1ecIp6XZGlrITWS1tLIE9S8XKKpBz0K+q5SjsQCGqsqQAfHV/xoK9k0KXl5M6lSMNLGsJX7w34P0fa9EZes4DTD1v0iZd55wUWctywVBZhxdW5xozCCthmcifi0lAT7A2a3x5VNi7BOyctdOpsJkkKSeBhLMRE6mQ1rh6lVjRrhm+/60DHnwy4OYvK2jE5IUjANLtWjYiiykKkFtcaSy5bek877TCwLF0JmGM+yeVKBYCWWJ0gVjVFFFx2mz6ltK0f+ZgrsngNtu92XUIjcOYl7/4ep7/3GvodHtopT2U9lFa4nsOLEkiyHYASDJlIuyqVTd/XaRReGWEQvZh7Gppkmtbm7O3EEWSJ9+LMZcpxQ67DuBJ1e+WzgqU+b7qLrCUMkbqmL1HNf/zo20OLvpOoKV+t7uXBXuXGp4rIF9LnlSkyURD9mo1Ulr2SqxdBvmE7i6ssFJZ6qRHbtcoxLIm31RWZFJFWITUyMiyezbmR97W4+hZzYFTAqvLAkuA9EhSkDMBctIkkMpBkPrdpGAm3f4vs/5KwM3iN5uTmcgWvUK6lIGe+enp+bVrgZxie8s4JeRxbEEqPN9Daw+tU2su8AzNeoRFMY6U0zGZqhSFXizLECavvDWAXehsSmCubndRZmyRsXLl9ZLuViZ9PpnMKYCuVIKUMX4Qc7Yj+NX3tfnELQ2sp4p0fCpN1mLvou57dUq+DO61kjqVQqGcEaqAt9VviVUycxWYJ3V4BuhyAJp1/jgGlyJ7nAafiSHG4EnnqnTGkp9+t+LcioBAFHrCCiw6Z/JCnqQXWnYvnR+vUnlSMHnqoOSypPiYgiwALbH5VwJ6dk3l5Loaj5l9GCeWMIb+CKK4cFKkEApE7Wzg28/v2Bqwaa5L4CVFNZtdA9zC5ku3yoGY6dZCW5d97Hx/84rMMJXUe+aMFJ64zX8nB7dc7XmXLUEpHbg9HRNi+NTddb54fyOtNcksQZkyeMbexa7B5XmDaxZTlaRZUZU3ocXLhC1K3/DkbcL/rc4OSed+mDLIC+bOOn0yPZ6YLPFTSu1bibEqfc09jmONsJJXP3fEG18wwBex6xAwpcPGWGuILYwMjI0gNBAZQWwhLknYON1jM2PQ/EiyvXMoJETpKH7XptsZUj0m6qHcOSq0f5ZAyghoHMHxeQvBOmIjP99uBGe1Uqhff9fv881vunSlP45Xjp0ffOeBY+eIozZh6BEngmyoQM7GFUtvwkqTxWvlrvfivpqZLCdzqqAua+6imErK1czt2LrIWErp5pwk0vDJO+r81z+Z4sjZIG1iKBI6SI2QgkBCTbpB9jodA5fNFi+SOcVoOGcfFgOQ8im3AqSU+UyZyeFHbsaMrCZuMqdu8igHtOW4pbwils65m1KQ5RrWLkmuxEzGMttOuPyimBPnFQeOa5fwya/G4mrNrL5i/MXk70xeyZMXefrvVNUZmT+++roXq/+J7Hm+YpbPf7rhryeYnu3y0hdsZtvm1v/15IE9977hVa90e/R87ssetcDjsb1NTp2Y4sVX+WycUW73X20h7YXMCKq8g0B5bEI5gJyUIWLiv5GTgaWY2AM93xPdlJg9A/gEuNOAMrMEPS/hyILk/R9vsu9QAC2VSxKX2HHaO5MmeZ8lE7Xpk8xdPmT2nU5m/1Z/38XzwkVZK9lj0xRbNeFTuCgyZ7Jq+l4KtzmqFDb3xkXG7Gk9gRDGTb2ylsRoorHlst0R3/uWHvc/7nN0vrRU5UGnkyExgpFwwSXG5kFmHlyWdHleo1JVPWkNeGpCpFIlWwGzFSwn0FyapJldShsilr4TJYXrRPMkG+Ykz7pEcvllEdOzI5J4DKSbUL3o+mtoNOoEUnDnwin6A+jXhdPDqqiYLKflC2uPiaCxBOo8jTxhCYqS7116XLYBRUnG5EmeVGfLFORSloqpRGYJxiz1BL/3l21ue7hWVAlmGcsU3EqS7lBcHoNcVLOpEpjXsgXXAv6kBf613sp6slJVWPF508o94wBl0tmAVpTAX8p0SmFdg4Fx598I5Z4LiUBhhCEZGF527Zgfe0eX//an0ywPM2CngtqIFOSaWKZyKb0nzWZax3i5Tahk8R5Le17l772sv21JAmYrTAZ8Ut6X2cSsFOTKFr8rpSsjqtckdV8zHs2h/auZ23g14XiUXaNw6e5N3Hj95TeLeOk3dmxuEngpK2XAzr9Mmx+VZuBcnpTbysoZx2r9drkzp/i5c3BkCdi6lH6XOWObEmsbV0CVZiuVihkJyx9/vMn7PtaiF3nuDGTMnbombnZf4ZxUiqqyz5qxedkHLzP1mmAuBo5+rUif7K7PgZz9rOy2lOzCwkUpW4iTk2ldOa0t7RZhjEo7gpweb2n4wbf2+KG39KibGEwCNruPCk1uLLGFsYHQQGhEqskFkcHNMrclLW7F2to81exJafMot2Paao2eFVDZST2+StdYRqFhsd/i0LHeb0zNXXGzrm0F0mrId//2b1OrN6I4ii7WyvwrT8XUAzc5wdPZcPliB4XynJJygLlW5/vka+W+yix5kweTorgwysMmy+5JztqqSMnLtL8Sz/D4QZ///oEpjp8PilR8prtV2mspBLWMwWWmuwvtndmFRR9muShqolgqL56amGEussmrqfaWxdYrq/S2rO5wUTwuzYYsxz25RKqW75YLr6ply5asybhS4ZleNTXfsGEm4a4nPM7Ny9Tqm7CD0udGlPIh5SRIcYlPgK/EBKU6pqKRpvzfPs0tiwEqK6k7tyrd0gagXqthrf3L+++96+4Xv/S1QGmv+je/6Q0EQY1HHr6Hg/seIvA1vmdXuRyT9dmra0omXhOrXxNr6G5Rkiey5HsXXTsJIrMH10jFay/hscMe7/z1GR4/EGA9WciSnMFlyRa0+SCfyZ0a1rIG15IplcROKRArgPE1yhVbfVj1xSftQsdqLlPomFraQrIY4b5wY2VaU2QxVqa/4yZkCeO88QTrPOvQcs1FEX/40yv84H8XPH4wDU5k9mZEsZwYTZxnL8FPbUPSRE9WP26NzVdFW5IwWSIoU0GFdClkSyZdMt/cCfBCrgjjBnQJYYkiEBiiMOLqq6/hpS95EcPhCPiJKsDXr5shCOrMTge06oZ6UIwizkCeNf8WLWRFgqaiyUup97Iml5Xfy56XPe/scem+lIovGDzJ7UAHbkPPSv7o400e2ROQqEyOlNLx0k0FyW3BCqjLFY0FYU3OHVw1FqIC9oLMvkL5yZrypILxUhYz79OsvF6yECdrxq2b221MunIIN5nWZHocixEyzVFIhFAIY0kwaGG57vIx/+7NfX7mdzx6sQAP8mopQyGOUSRGEmZtbMaBW5e0typVIVpTBKN2LRCXg9AsDs90t6HksZdLHWx+Dl2ZbALCpz01g9KD/LzmANdaoz3/YLtVPzQ3W99tk1E6iLNa0ZdJjipQKQG6CuaqU+Ki+QprTzC2yAFeaO8q0BOkSINKkaC9hIGB93+iyUe/2GScgXmCuRHOossLqp6Gvb9ipWBpxa4mc0QO7tXI/socvraTkgIDKjo8JbJVjO50ewpy47akyVhdWIFIa1SEla6Kz1r32FgHcuvavXxhedsrB+w5pnn/x1v0I9wJKwWV5aKkxMicZf0M3EJgUjC6VH3RCaUy5rdFgZZkNZNnLG9TyUb6PHsP+dbjFhJhCSNDq9nAD+qHgsA/GIZR/h6zRBNz67dw8sidn5+dqX9o88ZpakFIzU/wPZMPki+YfGKyVCVtbioXhZpYASraWpQBXJYjk+A2FXDn7K1jeiG87++b/Pf3tTm/6OW13eVaE3eIEnvbVdnK8jjeag1N1gwwkehh9UVQwn7O+F/1NlFolb9WeSpSRq8GmJWUfZb4ofTzbOxbFnCWuvGzYLMIPjVxotg0Z/j57+vwb9/coxXEkGRBZww2KYJQm4A1GOuCznEWeKZp8zgNMGNbCkBtKQC1opQoopQQEmkQOvl6NTkUJ5YohjCC7iCm2Z7Dr7U+9KnP3Pn5Hdu3rmZwgMBXKF37dKuRvCkei2ujOMlLugQlS7BkC2ZaumIVTliAYkKLFz8rpIiYlCYiswJXgzvrr5Q1y99/usGvvbfN2SUPfLUGe1czlp4oEjiZRqx43hmgJ5m75HNX4q8ST6+1n+g/5lbOaBbgzyOyp0ndu1S5myol3KRVUQBb2MITFyJjbdL7TK44FsdootCyeSbh57+/y2JX8qGbWlDL2FMUTJ6dKMAiidL37wrBbLriCJSpsrkVJW0uCtuQtBUuS9PbtaoUbTHc0+0s76ZXJdZjHMlHavXap+Okek5l+ckFl76WU4c/c5dJRg+4lquiuTeb2FpxPVQ1/V5u/C2ztJpg58LHnmBuYSrBY+F7V8EtZYIKDAdPav7ipiZn5v0C3GLikBKRam4vPbE6TUxMduqUG6FzMFOVJXnwmNJ3WX9/jaokB/NX/HnJ+16Vsqb0ONPkpjTqbY1xby5tX07nV1k8McrpdaOIQ8nmdQnv+KYBu7eHECYpY2fp/AlWtwZrLZGFkXWp/bFx9mGFzSv2YYnRjSDO0vqldH1hKbrXE7vacowNSKnoD8MH/vwjX7jru972mqcHOICq7UbVdoNoOnCmgyxlqTZksvmg0j8pVx/l0Q6rGhXKF4OalCop2MvMLRO0bzh0WvOf/3CaWx6suQbKitddlSZakI+B0HK11l5rmE/ld8qDiyZlCtmgH1Fi8rUcl5SZMnCv8nRX9yZW8j+5/KgCuZidUv1Zdb8bJwmskRQjmWVJujivPLFuWq0xCjMSvOI5I37lnR0u3BpClEmTuOSTx2Ci9DXjTBazWrK4w3nmcQrWrKYltqXntrgQKtLFVku4qzUvlul2jeuu2sG1V+5YRRR68oWLrngFUujw8JOLrCws5pquUgORuR9y0hGpBpqiLD9K0kWsIVEyPS7SeyUMIrUGK8ztGY6e1/yXP5riozc3CEW6G1XO2OXA0g2i0aJc573G9tvCrpIkrAFOJoBbZuuqo7vGrfzDCfrOAC9YQ4unJXrljZ+quyOL9PdsmkHMMptFI4Q0DuRGOAkjMnvRyDQratPZKOSSJTZQ0zFvJ/LMvgAALIdJREFUf9WAxMAv/sEUx84HzlnJPlAe+GUnwIJQGARR+rIxAk+mDQnCzSo0pe+hLFts/pzCcck6hUSWY3AnIasojBLYsmUz3/atrwnjKOEXfvKrALzVmkN5Uz81u/6CK4a9Yy8LR6PUUprslZwsaf3KwH468Dv9Xvjf7nGS3psKcyttODav+Znfn+JjX2gQynTrNbH2UWQsq1WCec3JpDRhIthkDbCX/O5JV6VyJfwjbxO4rtSFr07bZ4xvcwkjJtg7e02UtLirW5G5fjfZONi0yQADQqi8oTiOLZ5O+I7XDtEKfvb3pzk27xcTgFZdrNkP3FC4OP1xYtz3YLDo9P2qFOgqrQ2fLE/OXlPZlZ9qfmGKGYfGGFrNJpdeeuGtF+3a/lNLK71V53WVRNH+NEf2fq4b29a+2NSSbEu3rC63vJVdMXynVMaqkjylXswRzGpKypZfQtUhyZh7YlhPCm6hEk4vSX7+D6b42M1rgHuV/nYnyJOOvXWJNVYNHsrckpJ8gRLIJ461Aszs265o9n8EuicDzElfvHgxteFKMiVj+qz4vyxRymW12e8nJUfFlnaMyFL61ihXZmsVcSzRCbztVUP+6zs7bJ6NSPcJKenwTItPHq7bJsxli9PmYSpbYutKcCtavZLuL5Xi2iKtn1GMEIJWw0s2zDT2ffhvP9+dm2l/dYBn5zEK++/UXvMxk+6k5VyUdJxCHnCms0dksfdNdVZJCchismfSFJZf7pgklQrBLGMplSHxBO/9ZIuPfi4Ft5zU3Nm9LMAtVmcsn262S9bEkZPFpINSQvjT6es8kynEPxbf1WzmqqRO1fcuflbYhOVRbxmDr9n1Y2SqxYs9f3I9ntatJEaVrESFSQQ6sbz9tQO+/019dJIU9mEeeEalI9XoaUOBTQE9zoJQKwiNYGxSfZ7WtURGECUO6FEK9CgDfiLyQDObMOdpwfRU47HlTvedT3e+1wT47stfRxzFSWvmYhvGPtam7JcFm6XJUcV+N0kJ2GY10FVSZeuUqZUoPy80d+6cKANa8Pm76nzk8w3GUqWF1GWtXbrHpeOVXEOaCLd4KlHV3jJl77VAW2brCSOlAujsF1aVyX4t4C794kRh4epGiFImk7w5uWohGlMOQkse+aoAtTQObhWTq4LNjcYkksBYvv01A171giEiM6fXZO6S65K6LKTTp+KUzbNGilHK6KF1YI6y5oqkDPw06EyKTbkE0AgU1111kY2jOPnOt712zfOrn+7Eb931EuJo9JHzZw5eKpKTzWLvmyQdJm9yHV7W3C5Iybrq3c+h0N3uyP67UmApLEKUSmGF09xCwz/cUeOnfn+Kpw4HrkJKPo0lWJImvlgtTaruyEQ7Wubzrwoqq1vhZb9Q0eYTQP5a3cJKVdya8qTkgVMOLCc88ayDvdKgbCv3pqLHcdnNtPrRGIEgCzhdtjMDuUjfjxAWm8DVuyN++8c7/KSCm+5oONmt1vqkljxPaWX+3VikY+KMWCzo/7e9Lw+zo6zXfL+vlrP0nu50d5JOd9bOQhYhLCFggIAssogKMjAXnevo6KiIOurAveqj+Kioc0H0qqN3kLniHUUQURBEhIsYMQIxiISEhASSprOn9+7Tfarq++aPb69TnXRCQoDr73lOn6o6dU7XqfPWr97v/S2fDMJ5yvlAznTNxe/HiCloVglpnAPTpjQNX3DOKXcUi3l8dJxzTMfZjobGqXyw95lvtrXP2p8LIvheIqa/VrMDyz7beqZgu1Wx1d3V0bId/TvRvFxlBOrtRHwG8YFf/r6A6/65FhtessBNPACVwRzIBPmAiCvXT3lwD2lQH4BuZKkqSHtw19J6+AG1bn6A7enkK2ubHoCmLggnZA84UUxnGhSLrmjOzV3JMHGkQ5u2eGBligUdEb76kQFc9OYR4VpZludWkc84tS49umx3rFJwSwwYYQQjjKDECEoJwah8jMlHmRGUE0FjRsocnfM69z/2p/Xf7GifNu6pHteDA8Dk1gWIxvox3LMGhPXL+d0l3dA5JcJzm45EXIKBaU8OGO+tGwzZXlxKglQuC1oC/HJ1Af/w7Vqs3xICuewIpV6GG9DxMzi3mWWCpzj2AcBuYzbluTOSBy20T5yHp/ObtbfWrxuZUDfL1/vZ3pwbRYVkeXOVZcjcKKfU44i8Ugin8nO4zGmRYrs6ojLHopkRvvzhAXAO/Ep7cnXATPxWHJAfKg6QqA63xHomuhqfAUisfHsKk14RcCCnZ7zgaG6oxtLFnWiaVHvAc3tAgOeL08bi8tAHq2rb7oyH91XlwgSBL1UNTT8kqCFu83qaCWLWCWx6IkAtGuIzF+AQIX/4BPc/nsf136rFcy/JKKU6OQ7ArYElNQNLB9wwKQRKHrQLGiq8Ntxnm1e7ntstfFBXgLt6cIirAVMFPYGlqiieoKVDm37YHN0oKsbLc01LmEpmsry66AVoPDuYkITBCYiUEYmsomdMfXcKUk6weGaEr14zAMaBBx4vWF6CGm1c1OFA35q4nOdb7WBi8+I7EzXUBxIQxAQoE4AmBCEVg9IC45g7u23Y9+gHZ89oHTtsgMdRDyvWznqy1T9roG/b2qpcMALPSyRA5c+hTr5lxAK59t4O2Jnx5koLJwmoBzBK8Os1eXzqllpseFGF4NPgpqmHALeq0jHV8VnKSbqA1ww2bf1b5Xe7YK+cNMlSxV2vbl6u2MYrT5l8gejRZDqV1h10WuC2LgbVjYzogSS39HHbiws9WeRpi3RaIikKoVyoLBKCIoVV/COdhiIHjCgnOG5GhK9/dACcEzz0xzwSyuG2QZPfiXiwIkKClyvvYXTo1BUuT4ngA6I2lFLU5XO4/NIzB5YsaH9y155+dtgAzxebAZLbN9hbugyFJY8iuT/IFymovA0mkqep6FqF6X4WqqIkPdBkBuwS3I88lcMnbqrF89ttcBsaIgDtp9YtagJkDijT1CPLk6vfgzggd99ngzW9n43pQzWeeujt1kZHDrde51w23JHZSu5gE1ANPLUXB0xhMjfgplTO3qb1RzH41AiiEPSGWUO3MsPCjgg3f7wfH4mBR5/KIdFptZ4cYKovQcSHcAIQy4Ork1bxxaH5ug+OABzUi3HlO1ZGCUYva2qs21dVXXXA83pAgBOax+q1m1AsLOje1lXauvapdfMC3osT5kc4bUkZtQUOzjzEibgaOc9yYTbAYQHbUBXiAcwjeOhPOXzsn+qwaVsopr+jaUqiQG0SqSC9tQ/hvVWmWkXzHmR4b1jeG2nKUtl2LRPQNvDHGX1OWCpMA17KBrqNcYZKIrDg9somUJFMGC9OrGWklBVGQSizaIpUVahsuirpCpfVQQCgUc8Byhk62yP88yf7ce1NdXj4Tzkk8oIwwFZxfbWeOrs6GKCuZBHdoTxBXTHGiiWjWDqnhJZJNbj0bdO3trdP6y5Hz6GYP+7wAQ4AjHv48QOrtzU31r5/485zHrvr56vRPKWMi1YM4J1nDOOM48dQVQDisgz9SpCbmjtY1AQa1CBMrAdCBnr4iTw+9k+12NQVgodpClIpBaYDOkox8YkrAVbQEcD15hmDTVverhhspvdJX8hSmLJlxoMCO62cpFQTvQ0qViq8n2pvTTyzT1bjTkNnZHIWIyCeoiyytzg3XJxD/pYQA07ORJhdi252uyrJp2iZo3N6hG98oh8f/V+1eOSJPFiiEKZoiRqjEaU9pr60BDYTkaFiIcHKE0q47MwRvHV5hMZaBlo8A16h/H7W/8C2sO60g8HXySrItNu+/03cf9dtWHVyZzhSjo5/4vmdHbv3lLFuo4cH1gTIhUBtQ4KWRjHhqqoJtztZUWLlpRCjk9MQ6Or18ZvH87juW7XYtC2UtZRZnDvV/oEI1SQgpv2D7k6ln7m1bgp2dQW907QIzutOwS+FKAxWjXoIsS4epZPLwmFdQCzysk2TTne9onpI/h+Vi05T+5Gs/VPH4KhBlMPucmvuTNxaFs5HR2hTO9t3KXef1P9TYy0OTG5kOGlhjN09FEP9FP1DJCVG25yLmQdk4ChKQFmC4zrGcOUFw7j52j6ctihGQEL0D3cAVZf8Pld/4b8xf36P503FweygAAeAG7/yJSw8+aKeSXU1gyEtveuZTZsQAxgdpfjTsyHWPRdgqETRUMdQVy3C9uCK+0pPTQ2wQQGaJ9jUHeDL36vBLT+uxvbdgQA3JRgvecrNOYFOg/XlbAy+BLUvAa2BTuxpQhS4zTpxgK0q6EkG8A2IiXpWHao0eIlsRErkfsQCbCXANTVywD2BZ6SATd27Uzq1Fw6wXVCn0w3sQXT6c/WsC+oznMQzkRDT1MBwxolltE5JsPEFHz29BwC5eiSib+KcaRH+0/kj+OR7BnHFqhHUFTniMsX+PgJeOBuFmgWfHBt6YXWhZu5EoHtwiqJsQWc7cvnGJ6+s3nXPnv1tl97xqxcB38fgKMFj6zw8uT6He/99DFddNIKr3zoC3+dgqszD4aYENAe80O3jhu/W4GcPFTCaUIFUSuQ1R8Vz2pNTqj9MqSYqWum0OIabNZhulZC1zVVADP/QzisjBm/ecrBR5gSGndZ5SnPyysikGZtpZUU25dGJV1pNkUoEM1qzUVagB58cKS7OCIhsrK9Ch2Ywav4no5IsyU5blCcgMUfLpAR/99YScgHwhW/XYEu3D4TyYJzROgciwKcMV503gv98YQmnLxpDIeRgEUEc+WAsRn+0GFFpyT1T6uc9yco9E4XtxAG+ZG4LOF+/DW3Lrv32T/7s1dT2XTw4UgICBvgMpZjgt09SbHjZwxPPBfjg20ewdG4EFhPzixEC6gNbXvbw+e/W4Ge/zWMURHQ3lXM4Otwb1N0unwkRl4Gda2JTEN1mLot707THSt3aCXG8a2aCFdzfqIKfT9Tsi9+5GIwEyDOA7+SrcKUdiy1GTkwFgaAuAq4zEKFlRDOxK5P1YVQPVAVHF1FP+ROo8D9kcbOYFkQMIbkQGNkYR85nuOycEsCBz3+3Glu7fRGxEZKP+BIxx5LOCB+4dASXrBxFW2sMNgbEJZXRSMBRg4b65ntX7zjn2j1rtm1/y6kzJnyKJ0RRlH3hC99Bx/GX9C+cO2fxy109b97e3SNSVqGILcfgIMHT6wO82O1j6YIYLU1ytE8IaAi8tMvD575dg7seymMMki84CVP2ss25DTXxJDWxu8LqWdwcjq3qRtO0xHBvt4mPpBJ2cx2rOY/OLNSJWWpedsO7bVri0BZn/cDcOk1V9DZdWUSyL16HchBDS2zKYVENR8+37mDpAXdWApq7n2kPIt5iopchJZg/J8HkRoY/P+ejv59A6sxAxHHc7BhfvXYA7zp3FPWFBMkYQRIHEtw+4piDB4tQPfmSu+e1br67c86yQ4Hs+Lko49miuW1457nLvnr8kll3TJ3aIK5G1bWV+EDgIfYofrMmh//5jRps2OqD+iL98fGnQ3z22zW40wG3RJLSSB2vrV6j+pegsPNMjBSo2q6NX2dp8d0sQKS8eQUFSW1LJ2XZNoEAZoVl693GdWtvDmtZ559AFj5YWYNQqkllPnhlWq39PpMnbiKe1KTbyppO93OprP+UcRFLTWMJR8gZrnjLKL74kSEsf1MZOcKBmGP+7Bhf+9ggzltehpcwkWnLPNEcNAmRMAIvbAHNzb+DVq38KoKZh3xeD8mDA8C/fOdmeFNOGlvYOf3+J57eeMZQCe0JUXVMMn2ScHDCsXW7h03bPSzqjHHfYzl84Ms1WPtciEi5YRvEFWpJujOVpZpIz+2TVF9v3S9ReefU+jje2wREiaOk6MEnNdsdT64vDtdj0wqPfXAPnm57nOWdqTUItAecgPTqyBgUprch46LWr7vUzqFnUPMPcefuYLy5mp3YSMJqGVzklCyYneAdZ5axf4CAJwRf/8QQ3rK8DC+BqJ7nBAkLEMUhojgHxkKE+ZrVpHj+5WzkD0P5+jMPGeCH4WuE3ffwn5Ew9vAXv/WLVeu7+lCKImBsEIjGAJIIsMcctQWOs1eM4dF1IXr7iPHaUPJDaiCJlFpCjfatqIkuICZGQbEBrpctYJsegzxFSVyVxFMJWdRcBBr4lFhUh5j5e6hFVajqC26UE92/kJrehPbFZVMsp+c6db+H3edR7eNZy6YfDUwynNWUKT3vqJFx7X7sqdZ5qfbVNFWZZa+LfH61TWSQasVGXpHEJ+jpJfjduhDnrJDBwkgE4wEgKocYKVVjYKiIGNPQMuuqR0Do2VUNpx4WTg+Zoig7bdlcnL5s7hNXX3R8qbE6AEliNNeO4dSFo2hriuARhrnTErz/shI+875hnL98DDk/65Ky3IBN+OyBpQyXeEBmP0EdjkcqRA849IRkhOzTXg2pbYC7vxOqt/8q75z+dgdwITxj3Sk6VovWqDKzAEJREifJirgDTaTfA6ukzd2f2VQGtJLawFATRUWgoqAq4Qvm8+wvMxYBD6zJ4Yu3VuF7Pytgc7coUu7a7+OPGwL0DHJ4NEbMqkGKZ5W8wqIn/MKiw4XpxFWUtDXU12BkePgfL79kJX943baPz+tbk7/yrF6ct2IYj/0lwJpnQlx8RhmnLy6jUOC48aNDKI0S3PNwAcghhRbFv637dUryUFFKF9huhmBmQlUFyOGqIvrZ1X/NrdlqJW2ouHvoEzJ3R9WpIAvsDsaVzJdWXFTaLEn9Dy0jmpC83f5NgVyF8pXiYpKoiJEBHYVFTRZMRCifus2FGAg8dQEQYrIEVZIJB0geuP/hHK7/Zg1e3k2xcZuPB1fncPEZY1jzlwC/fzqP81YwXHByjFOWzByd3HHWN0Byn8nl868+wAGgWFXFbrjlvs+fc0JzdNLM6dcdP3tfmKtJ0LaTormBY8aUBIWC0MPbWhJcc3kJT/01xMu9fgb7TxM/3TCtYmApqj8ymmdmDRzT3hsZabL2M4z317gk7uuVbjprfeLsT6dNZ77gruroOFEXATGaN0z2nZD2TB65mJApw4sTAWQ9YFX7SLADYiIEBVz1rIANmaNCiPLsss8DsY9aMM2uPR6+dWcR3bs9IABGRwi276TY20vw8h4P3bvyuO1XdShFreVZs2Z+rb73t1+qbbvigNmCB7NXBHAAeN8Fw2VOp90Y8F3lF3duueFnP+H0zkeqsKcXOGVhGXOniugWKQPLF5fx8fcM49PfrEXCiAG5M6qhZlmiSvFo05HKBjV3gjeZ9CRrcJV6OGCG+vfEBbU9qIJFYdLgztS3D4TujPdxG6xc3fnlS2bWUq4ylp0iB3FwusmloioMZk557tYwUA7ZRoLp2a5FxovKMWImV0Wl2loeXPdoIer4zAkgBIgSgpv/tQpP/DUED4j+qdvbGD70zhFctqqEf3swwr1PNTK/2H7D89tm3vSbJ/vKrxSfh83BlU3tvAIx7ypVN7Tfs37vmfwrP27DX55rxGmLGObNiIBEts9NOIr5BBefOYozTxgD4qxPS/NvQRvc7MB0hqBRGxxlwdmWwb1tZCoVxAIusQ4JgKh+0ZtIBYBtukEqFl6BWdKgAHIG94blkZFu95bFz2XkMs3pdbGykRxtSVBX5cOsmzI58WVtSqRPQ8Dx6LoQ9z6ax0hJRqTldDKbXgzx+LMB3tTp4ePvSPDFDyzgp5zQfs8w6Sldf+3bX/Hpe8UAB4BRzEOhcdHmfPWJH7r6krNZbZOHuTPKaKyiiKMQSeyLExMD0xoSnLogkgBPJcZrz634uNG93cp4d5lIBUEHRJBBQ8ahLoYIVXLriuAGcV52ngH3wjgcbI+XE65ft+Pz1pv0dqSjl4p62EC3Bn8ZurjOMHQGn65WrkCOjItA0SbHfII1GwJ093jyh/RE3MQPsX+oiPVb89izpxZBzTvZymVLP3Tios7NZ5zQfiSg+copCgDMm3sy1j2zuXzhqhW37uzqKi79QN3Npy7g4Ek1SomYO8cHAU0iFAOGkxaX0T49xvbdIRCmP404S2nVxHP4Nq8AvQNeohK+4IDfoSbpwSdxvbEdtcs4xCPjpQ9iTsjeDt2nlvXA1c4Tl+um9ZuhK4xCzBQhB5XM+mfEUkFUHaegJgbsjJjJypUnTw8avBB4qcvHE8+EKEVSC1XTyvgBSghw269DeH4rVp1Y/z9WnLny1iC3JWlsPumInLsjAnAAOH7JXJSGupOrrzh/y1hf1eD+7oGafX09qC6OIheOghKOhInq+Y72GNObEmzfod5NKhEmgyO2eqJAnJ47viLJyqItmUEV+V/tVFOQtAdOSX6W6mGYDZHPqZNxAPpyUFPumziLzksK8IRkg1wNNomkGh4MF2cyrZVBTH0iCiHEh1L1GYyAedB5KIyp70pMHoqs3VRgh30HsE+Az9G138O27QGQeKKQhQgPTvwCqj2CmvxUNE17y+C8pSdu2bptdzJ7xpwjBcsjQ1GU5QsF9PeV7/VqzvxwUH9ZT4ImMDkHhdZNE4KqkGFSXQI98aODDKF9K+7tg1v5JbxiFrSsekoDal7JrR0vTSpAb/ugzMSqQ0LrxPflE3mRy89UvNymITD0oIJzI2MZlieu0Ldl4079GjQNEd2vSObDTnHkUFcYQU8/xUg5FaoFAWKGGS01uO6/nt1z1YUnfpiVB+8N84UjCckjC3DiTULLlGaEPru9tf2MTza3n7u3WFUFSiJ5cimSiGLO1ATnrBhDLsdM6VNKi7OlwXRPE0rcKKWjg1ML3BSV4EcK8Oq/Z9xEYB+afIa1v9nkensO+7XKlXRB8bimB5jEeS9PbbM/02jeBugsxaOZHlC625gFatWj21T9pLthmRwVu02zPrsyy3Z0jOChP+SwZYcvQtCKKMYR2hpD/P27ztj79gtP/2SUkNubW9swvbXuSELyyAJcWZivg+8N3VbTvOr6sHrZXsZ8feUzmSo5tz1CWyMDnI78BmUi39vm3pYXt4Bu0xIDZu4UMWQNMFV4Pa2sKMA6h6OWs75shnpyWLScH+TljEiQHbhR+3BJP7RcmBXN1GVpps2bSJRKRTm52zAoC+RcNtNXEU91dxCF5Bwv76d4oSsQRN+KUhc9D2eftmDvu9+2/PrBkdJtB+tvcrh2VAAOAMSbjMFd9946lrR+OqHzexgjOq+DRwQrF5Vx/ooS/CAxv5788oSkE6nc0rLKwaatmvAKwFaC3IGxUUjG8+AWANOePOObv6LzZisodgYh7GWblMOW5ogT2jde3O1LyB3vTCpBrYDNrGWlnuiutGp7JWVRP2WUAA88nsfv/5oTWXKyoNnnFAsXzOlpaW759E0/+t2trZMnHS0YHj2AA0Dt1PeAJyM/9PKzr0Ewd7B3oIw44UgSH1VF4Ozlo5g2KRGSoRWad6f641YiVTao9TNV04VnBHnUg7gheSKpYpY5A84smnIUzx3n42+3vbbzmv6T0rc5LK9bCWynvRvL5tcufSFWZ9pKqRGcwPM5unsoHllTwMhwAHgUgcdQUxjBssXtgwvmt1+zf3Dsh1/+6CVH8SweZYADQBiWWU1b/o4NO2e/75b7Th5d/UwAApEKWVvFkKfMDJ5gTdSqswWNt67ICJTURQC3spK+gqJQZHJw9yKwOlZZXh3A0UX0oZot+XFzQeht6X1gwMzsZQn0xPLcZm4gBWxrWXehNYNOtzMt0crOaEIwMBwAJA/wIk6eP4pbb5g8+o5zJ72vd7D2Dg9jrygMPxE7YjLheFZo+QRWvvu25LH7p//ss9dXJ7mq6h/t7X02X1NdwqL2EpYuKuOFHoJERi89IqbcUY3rdVW8RU3S4HWq4ccBt51LXaGD20C2AW3bRLcdDatItMr+3xrkBLo/oZA35bQmMsSv9GyAg4EATNz9VL8yIlpagVIGBjHPJgfTswwL9YlqgSCRZIgSKttNUMQRwbr1AZ7ZngMKBYS+h8Wdx4+2Tyn83eWX9NzzaQwkhHzmqJ+6o+7BAeCxH/49nrqvPwka3nb31JZZ747pcSOlUQ/Nkxk62hh8T2gmhKo55LkuR/OpG+TJBjc/oO7ttneopC7KTNjiwPZacuTKjEyITL4Nh47AoiJqkGk8vVZU5MBTh+4ZkRNCUSRMPZuOtDHzkCRi5rY4odjW5WPfbh/UI1h5/MyRyZNmvfuUk068+3/fNvtVATfwKnhwZScuvxpdG3/A22bcc2fPrvP8gPd9d3jw2br+fgIGH/B85ChBgXLR50TNJDGO56YpcFMCVKohZlBpgxtABQ0hKWQfDOiHpoe/MuMHe52b8YFOvtLfU2zkOgwqgzywUmNhRTytSnmRTajCneLzKAMSCvBEJGBx2SAIBCAJEBOGJAnge2XU1zDU1nB0zp3W3zFj6n//4s9fupPSEF/41NWv2rl71QAOANPnvxd922/CpDb/x+CLgz+smXnTU89taYxiIMxRVHkceQ8IPW48t1WlU+G9x1NSJPjFtso+JE5WoA14a/1AZkcSj4lZ/1cfh8IvSQ027f15FsghQ5hyHUSDmMp/QJist5F4J8yMzFWTZ5OHAlDK4PsUb1tVg6R2xf4nnp/yCZ/yH/+Xc9rxhU9deaxO1atrm7ftQy703/vDX/7hxu//ZPXkwYEh1OZEi1zfkzMz0BSA4Wrdae7t0BZqOHdlExz5W1FzEiq6QxFzgcDi+fbdQJeqEeKuU1mXmSpls/fR5WnWxejpZ1cNsjsBkNSyPSsciIkNEMmx7agurO9lUotVuRuTqQ+pWaxT00Sa/2lmrDbTtovuZoE/imJVEfVTL9ibazjvOiD6ASGtxwRnr6oHt21uRxN6+0d+8JErV5HaQviVH93x8OTe3j6Eng/fs2oWkQIdACf9FVngJhWgtlNobTqS9uiHZBkFCQRufgjUurUt0/MT5ynztYkcCrc2EJkTrvK6iXyBc3FRMiIKFcQLgopQla9iJWXp3uAa3OKEMSKoDKUcjMoZ1coM+WILGhrO2xvUnHN9EuMHftB45AE0QTtmAAeAhroi+geHbr3qopPjhgK9+ae/eKyha8d++JQj8OWI39rfphA6gzAVjjcV7dkFD8h6Tg8uM0CbZRxwe0mm3s4lUCZi42E+82I46EHJRQ1yaHLOubiDWJ26xZsU3wYDpXZSFiR9Ud+X6GOy43NiOhsgyLWiYcqq3qrGUz7FOf7VDw/c3vho2zEFOADU1VSjHJVvf+s5y3pe2r5r9uIF0dce+d2aIOeJ1mFqbkR9MpGKStrrqQaaWVU76RySo2GcHBiDB7RDedNEPDs3OwvAc83bVRsI4Q1ckBMqlBNR5mbuAuozlSIjZj7jCHyG9tmnRCC5T9e3nrKF+sVf+X5w8AM8ynbMAQ4AYRCyNWs33Xv1FReGz23cONJYS7/z5FN/IX0DJToamcCBfetPA133L3H4sn0hkApvWBH61i/Y24yLdnYn5lVVk6jWaebnHIKlbgU2jXL0+vQ+qe9me1pDXYiO3iq6oes7qepnqNq1mRZy9rnTciIjKI1RJKhiHW2LeFX97I+0tM3+v0N93eV8YeFRQMqh26uig0/Eli/rRF/PjvKcGS23L14wY+HSJfM+N7m1FaWxBHaGsQ3KbJBbOStUdIn1qOl3kpVBaCjF+JZ+TRXmuuupY5yIpVUcZOCXuKUENtgq900fYyqKKb1uwsyDMQHWRIfqU5U/zqFyDW6PlDGpsRGNzXM+V1U3a6Gfn3r7rh295ZpJrw1wA68hgAPAm5YsROecmaWXuvdtuvzCpTfOnjX7hmVv6kyqigGimCFKjM5reyyhGhDY+rgCth6w0krPriydqWcXFWggW6M3Z/cK5FcsZK6TrOWUGz6Y89fCnD4hPPMiALfzusWU2HECMXuwBXInX8U5cvEPCOHwPQaKBAkLUds0P5kyreOGIbbsxtHhHZuamjtKU9rmHQVkHL4dcuu2V8PuvecOtC24gP/jx6549IFf/L/cSMxPfr6r3x8bjUAJg++5VThCL5eTh3qATwk8z/XghBLYVTp2iqk2i6en7w4glUXHmsci9WwtC2BktG7LGCvYkqGWOtPbrUomt8iDZ44zVO64nXCVOAlS5rJQdwDTtNTIkQBASYJ8nqOhoYDJbSvGps297OtT2k/97I2fOYt3LnnXsYZNph2dUdYRsqHBQby4dwz1Re8ra//64qn/5/b7aMBLp+7f1+MTKtq5+RQIfCDwiH72PMDziFZVCFGckUsPJiQt1UfbPh0V4IYCnK2pW0oNTS2nNG+lh4/Xus2+s2S1blM1pXb7Np3z7owxeAXlAkyYPbGnwmZmXKPaw3mUw/c5Ao8jCDhCP0EYiKnXGQeiiKG6pj6eVE/+OGPBxaxQN+ePhJSuHx5uQnX1sVVKDmSvaYDb9oPbf4Ew8GsGBoe+v2HTtnc98/wuOjhUQm2RIh8ShD7EIyDwPfFQPQLVAJUlHFHCEScccSyAno5Kag+LNL9PtSymlSA3gLaDOwcAeAWwVbCHW70L7Vx4N3CjPTnsYI/Jh9dKByOIE4IoBuJYKh/c3Cl8j8P3OAKfI/Q5woAhFybI52LkgzFQv4CEzGB1k2b8NF+o+m9JEg/OX3rxsYbEhOw1oaJMxN579duwefPWwZrq/DXrN89+IfLXLerv6b30hc2bEXo+vNDToPZ9gkCCnEpPzhgQUw7GGeJEzN6ryrIUGIjksQBE+zFpYl5UI4noVFQLSLojlBNtUcbBx/ElNv9Wn37AhkVqX2Leo1MT4Hp1ceziYJIESBKKckQQSYBTAJ7HdeIVkY02fU7AGAPhY5g0uQPFqtp7wrrTn/XzHbdwNjLY3NJxrOEwYXvdeHDbnn1+O+pqqzueWrfxG39dv+nS9c+ux+jIAIoFH/mcj9AnCAOKwKfwfOFFAY5yxDE4HGOolGB0TNAUwOXA6QxEV25017XnJmauHo+oi6rSc3sZHlw/E9EuRM1U4VHLe9tURXpvPaePFVo3OTgihK5IeMIIRsc8DAx76B8mKEfiGvQIRHDGB3IBRyipSeBHaKivwsxZnWieMueehskLPhaVh7blq2cc65/+kO11CXAA6N61D2EQzNnw/NYlpZGRazdsfH7lxo3PY3RkCNVVOeRzFGHgIfAJfB/w5RznO/eWsbU7QjnhOh/F07TCDfmnpzPRk03BGggSNfsasT7HaqFsgTsNcBvkqi2yw8OpmgAjPTtziqroQaEBt/k8kTdSjik2bw+wY6+401BP3uV8ilwIFEKO0I9QX1+N9o45mN4+97FiMX/LpOaZz7AkfiFfbDrWP/lh2euGoqRtWmsTALzAOX8BwLPg8ZSli+d/b/OmTXM2b97g5QKOfAiEgfBOxTxDU30EPzeM3z4ToCakyAccgQ8RxSNEN7AkxEo7haEFaQ3e1pjFe+V0LVpaJMgS1x2J0KYbaUXFpin6YZKmzExn5llxes9jCHzxyIcxCvkSHlxbwLbteTTVEekAKHyPIYoJfC/AwuOWJDNnzX4hiaMPzOxcvhPAplczLfho2OsW4MrkD7Bp776eTUmSnFddlZ922opldz2z7o+1/b07qsrlYRRCYFJdhJlTB7F/pBd7BieDV3lu+RuTeLTBTew2l9Kk/KC2iZwNImYooJUasnhPxnHrP2Y97aHtbMH0slGn01ydg+jsPo4wSFBdHENDXS/2jjBs3ZMDJQkaajzEcYLammq0TW8bPvuslQOUxJe1Tmnr9qi37fUObGWve4Arm9w0CZzzbS3NTV3Dw8PH5UO+HJz/y8tdW+KePZsnVYc7amqqh1GOS0gSjpgRJIybBpQwU2Nry4pIEpWbQVR6tJQaidVvm5uK9vEOmGR7cteDczVbObIaiKr36fennsVcoWpWhgQ5fwS9o5MwFvtoamoaXLq4s2fevLm+73nvn97esaaqqrofnDOi8ojfAPbG+SbQgRQWlQd7J09ufbCqqrrzoV/fN/u0sy7/0qzOZesT2vz0XY9PH62tq0VIExDOwBjXuSSKmlj5Sfphwt0muql0dcYgVRluwvcTDNenVRIzxYrNrXkFXVFmZHyu17le54gTYLRMwdCIa94Zji6a3/j0m08/Zf3733vVl+66++7ZtTW1nVOmTHmwp3ewlxDyhgK3Or9vaOvZtw2E+qRv56N44Gni7Rtq+I4Xlzu7X9p6+vauXd7g0ChyQQIPMQjxQD0RPBKR0MoELefk6cGnUEu0/m49q4Gls6wGlR70//I9jsADfF9QC98K+LhUhlccg0eFhu1RcZElSYLqKoKaKgaQImrqWpPWqVNX19di04aXSh+6//dVyVWXno5yFPO5c14/kt/h2Bse4Gnbt78PhXyuYdfufV/+4U8fCtc+uy2Z0ZI/oZDDst7endjSNQKfeqir9uHLOjk7kUqZva7SAgKfapD7vhVs8lwVxVZPfE8+fDHgDXyuAy+qXC/dAEjldScJZKoqRyE3Bo9G6C/VYVJDK6qL8dqG6p4/e4W53vTZ55eL1Y3/EMdjvYVi/bH+CV5V+w8H8LQ9+NCjALAyiuJz64o7L1u7kc0bGijj5e1bQAlDb/8IhkcicAC+7yEIPHAZ6k+YjER6Iqkr9AkCnyIIiJAnKYHn0QzZ0EiEvvTiQcCl4sMQ+FwCnYniBBmJFCBPAJ7I6KSPiBVQLHiY19kBP/CwdU/V87OnTb4rDP3fcI7Hjlty+rE+xcfU/sMDXBnnOwDgvJ176Ow9u3vZnXf9nLW2NM7MF+uv27xlOzzPw44duzEy1AcGgv0DDJR6IqDkiQqkXCDkt3wottu0xMlRIW5oPvAEwPMhRz5MkA8ZgoAh9Dl8L0EcJ9jTG4IxoHlyHerqmxEnMeoapqN7Z/+NpeGeF1edewnNF+vo7j66BcCDnR3Nx/qUvibsbwAfx7q6dyOfy9Vv79qx8s9PrwehNKqtKX489PEWzoHdvWU89O9rMToyiCAgCD2CQo4g8BJ4NEFOAlxFQJUH51x5bpPY5XlAPuRoqPVRV+uhECYIAobAS1BbW0DjlJOwf6AAAoJCHg+xZORmlrBgWvsC1DdMeSyKy32Fqr8BOsveMDLhkbbp01oAoA/ALwGg6+WdALCRgLVwDtYzMIY/rd2EqDwq+LZPUI7K0aozTv58eXTkIs6TyPMoGOOyZlEAOkmEYuP7QmZkMhmmWPCDSfVV9/XsfOrzQeAHQcDgU4J8oRqTpy5CdWMBBIQGIdkN4MX6hinH+hS9LuxvHvwI2uo/PA5CSMvePXvqkiTinkeRJGJ0GPgC4FEimvj7vpBHxOscxWJIWlta+jnnu5e86ZRj/VXeMPb/AfkCy5l7ONkXAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjE1OjAxKzAwOjAwIkzdhwAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzoxNTowMSswMDowMFMRZTsAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
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id: 21411913
{'hecke_orbit_code': 4503805802578503, 'n': 1, 'trace_an': 2}
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id: 21411914
{'hecke_orbit_code': 4503805802578503, 'n': 2, 'trace_an': 0}
-
id: 21411915
{'hecke_orbit_code': 4503805802578503, 'n': 3, 'trace_an': 0}
-
id: 21411916
{'hecke_orbit_code': 4503805802578503, 'n': 4, 'trace_an': 2}
-
id: 21411917
{'hecke_orbit_code': 4503805802578503, 'n': 5, 'trace_an': 0}
-
id: 21411918
{'hecke_orbit_code': 4503805802578503, 'n': 6, 'trace_an': 0}
-
id: 21411919
{'hecke_orbit_code': 4503805802578503, 'n': 7, 'trace_an': 0}
-
id: 21411920
{'hecke_orbit_code': 4503805802578503, 'n': 8, 'trace_an': 0}
-
id: 21411921
{'hecke_orbit_code': 4503805802578503, 'n': 9, 'trace_an': 2}
-
id: 21411922
{'hecke_orbit_code': 4503805802578503, 'n': 10, 'trace_an': 0}
-
id: 21411923
{'hecke_orbit_code': 4503805802578503, 'n': 11, 'trace_an': -2}
-
id: 21411924
{'hecke_orbit_code': 4503805802578503, 'n': 12, 'trace_an': 0}
-
id: 21411925
{'hecke_orbit_code': 4503805802578503, 'n': 13, 'trace_an': 0}
-
id: 21411926
{'hecke_orbit_code': 4503805802578503, 'n': 14, 'trace_an': 0}
-
id: 21411927
{'hecke_orbit_code': 4503805802578503, 'n': 15, 'trace_an': 0}
-
id: 21411928
{'hecke_orbit_code': 4503805802578503, 'n': 16, 'trace_an': -2}
-
id: 21411929
{'hecke_orbit_code': 4503805802578503, 'n': 17, 'trace_an': 0}
-
id: 21411930
{'hecke_orbit_code': 4503805802578503, 'n': 18, 'trace_an': 0}
-
id: 21411931
{'hecke_orbit_code': 4503805802578503, 'n': 19, 'trace_an': 0}
-
id: 21411932
{'hecke_orbit_code': 4503805802578503, 'n': 20, 'trace_an': 0}
-
id: 21411933
{'hecke_orbit_code': 4503805802578503, 'n': 21, 'trace_an': 0}
-
id: 21411934
{'hecke_orbit_code': 4503805802578503, 'n': 22, 'trace_an': 0}
-
id: 21411935
{'hecke_orbit_code': 4503805802578503, 'n': 23, 'trace_an': 0}
-
id: 21411936
{'hecke_orbit_code': 4503805802578503, 'n': 24, 'trace_an': 0}
-
id: 21411937
{'hecke_orbit_code': 4503805802578503, 'n': 25, 'trace_an': 2}
-
id: 21411938
{'hecke_orbit_code': 4503805802578503, 'n': 26, 'trace_an': 0}
-
id: 21411939
{'hecke_orbit_code': 4503805802578503, 'n': 27, 'trace_an': 0}
-
id: 21411940
{'hecke_orbit_code': 4503805802578503, 'n': 28, 'trace_an': 0}
-
id: 21411941
{'hecke_orbit_code': 4503805802578503, 'n': 29, 'trace_an': 0}
-
id: 21411942
{'hecke_orbit_code': 4503805802578503, 'n': 30, 'trace_an': 0}
-
id: 21411943
{'hecke_orbit_code': 4503805802578503, 'n': 31, 'trace_an': 0}
-
id: 21411944
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id: 21412153
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id: 21412154
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id: 21412155
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id: 21412156
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id: 21412157
{'hecke_orbit_code': 4503805802578503, 'n': 911, 'trace_an': 0}
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id: 21412158
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id: 21412159
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id: 21412160
{'hecke_orbit_code': 4503805802578503, 'n': 937, 'trace_an': 0}
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id: 21412161
{'hecke_orbit_code': 4503805802578503, 'n': 941, 'trace_an': 0}
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id: 21412162
{'hecke_orbit_code': 4503805802578503, 'n': 947, 'trace_an': -4}
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id: 21412163
{'hecke_orbit_code': 4503805802578503, 'n': 953, 'trace_an': 0}
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id: 21412164
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id: 21412165
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id: 21412166
{'hecke_orbit_code': 4503805802578503, 'n': 971, 'trace_an': 0}
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id: 21412167
{'hecke_orbit_code': 4503805802578503, 'n': 977, 'trace_an': 0}
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id: 21412168
{'hecke_orbit_code': 4503805802578503, 'n': 983, 'trace_an': 4}
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id: 21412169
{'hecke_orbit_code': 4503805802578503, 'n': 991, 'trace_an': 0}
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id: 21412170
{'hecke_orbit_code': 4503805802578503, 'n': 997, 'trace_an': 0}