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mf_newforms • Show schema
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{'Nk2': 6048, 'analytic_conductor': 12.073380785617594, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1512, 2, [1135, 757, 785, 1081], [2, 1, 2, 2]], 'cm_discs': [], 'conrey_index': 757, 'dim': 16, 'field_disc': 1048576000000000000, 'field_disc_factorization': [[2, 32], [5, 12]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 40, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [1, 0, 332, 0, 194, 0, 28, 0, 1]], [17, [-10, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510936354620904, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1679616, 'hecke_ring_index_factorization': [[2, 8], [3, 8]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 6048, 'analytic_conductor': 12.073380785617594, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1512, 2, [1135, 757, 785, 1081], [2, 1, 2, 2]], 'conrey_index': 757, 'cusp_dim': 276, 'dim': 96, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 17], 'hecke_orbit_code': 137472509416, 'hecke_orbit_dims': [2, 2, 8, 16, 20, 24, 24], 'label': '1512.2.c', 'level': 1512, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 300, 'mf_new_dim': 96, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 96, 'sturm_bound': 576, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 24, 0, 0, -96, 0, 0, 16, 0, 0, -16, 0, 0, 36, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -4, 0, 0, 96, 0, 0, 24, 0, 0, 32, 0, 0, -44, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -40, 0, 0, 80, 0, 0, 12, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 92, 0, 0, -32, 0, 0, 28, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 92, 0, 0, -96, 0, 0, 24, 0, 0, -64, 0, 0, -128, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -12, 0, 0, 64, 0, 0, 0, 0, 0, -128, 0, 0, 16, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -44, 0, 0, -160, 0, 0, -4, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, -168, 0, 0, 64, 0, 0, -4, 0, 0, 192, 0, 0, -56, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 16, 0, 0, -64, 0, 0, -8, 0, 0, -16, 0, 0, 180, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -156, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 32, 0, 0, -168, 0, 0, -80, 0, 0, 68, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -112, 0, 0, -64, 0, 0, -136, 0, 0, -144, 0, 0, -48, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, -140, 0, 0, -16, 0, 0, 232, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, -112, 0, 0, -16, 0, 0, -12, 0, 0, 336, 0, 0, -308, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 272, 0, 0, -16, 0, 0, -128, 0, 0, 224, 0, 0, 48, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, -128, 0, 0, 64, 0, 0, 408, 0, 0, -336, 0, 0, 264, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 196, 0, 0, 64, 0, 0, -16, 0, 0, -128, 0, 0, 4, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 144, 0, 0, 16, 0, 0, 8, 0, 0, 128, 0, 0, 96, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, -104, 0, 0, 32, 0, 0, -260, 0, 0, 80, 0, 0, -4, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 180, 0, 0, -80, 0, 0, 8, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, -116, 0, 0, 64, 0, 0, 112, 0, 0, -112, 0, 0, 76, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 312, 0, 0, -16, 0, 0, -216, 0, 0, 0, 0, 0, -300, 0, 0, 0, 0, 0, 20, 0, 0, -320, 0, 0, 208, 0, 0, -144, 0, 0, -172, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -80, 0, 0, 352, 0, 0, 8, 0, 0, -160, 0, 0, -232, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 236, 0, 0, -368, 0, 0, -16, 0, 0, 16, 0, 0, 176, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 472, 0, 0, 96, 0, 0, 164, 0, 0, 64, 0, 0, 12, 0, 0, 0, 0, 0, -280, 0, 0, 0, 0, 0, 216, 0, 0, -48, 0, 0, 296, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 48, 0, 0, 320, 0, 0, -168, 0, 0, -176, 0, 0, -148, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -220, 0, 0, 16, 0, 0, -368, 0, 0, -768, 0, 0, 504, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, -696, 0, 0, 336, 0, 0, -248, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 108, 0, 0, 32, 0, 0, -260, 0, 0, 592, 0, 0, 224, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -460, 0, 0, 112, 0, 0, 352, 0, 0, 32, 0, 0, -240, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, -360, 0, 0, -96, 0, 0, 128, 0, 0, 208, 0, 0, -152, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -372, 0, 0, -48, 0, 0, 236, 0, 0, 64, 0, 0, 280, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 424, 0, 0, -496, 0, 0, -20, 0, 0, 16, 0, 0, -456, 0, 0, 0, 0, 0, 368, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 128, 0, 0, -176, 0, 0, -64, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, -136, 0, 0, -160, 0, 0, 248, 0, 0, 80, 0, 0, 252, 0, 0, 0, 0, 0, 636, 0, 0, 0, 0, 0, -368, 0, 0, 448, 0, 0, -56, 0, 0, 176, 0, 0, 552, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, -276, 0, 0, 192, 0, 0, -136, 0, 0, 576, 0, 0, -120, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 16, 0, 0, 32, 0, 0, -608, 0, 0, -144, 0, 0, 112, 0, 0, 0, 0, 0, 56], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43071180
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354620904, 'source_is_minimal': True, 'source_label': '1512.2.c.d.757.1', 'source_level': 1512, 'target_conrey_index': 757, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354620904, 'target_is_minimal': True, 'target_label': '1512.2.c.d.757.1', 'target_level': 1512, 'twist_class_label': '1512.2.c.d.757.1', 'twist_class_level': 1512, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43071181
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354620904, 'source_is_minimal': True, 'source_label': '1512.2.c.d.757.1', 'source_level': 1512, 'target_conrey_index': 757, 'target_dim': 16, 'target_embedding_index': 16, 'target_hecke_orbit_code': 13510936354620904, 'target_is_minimal': True, 'target_label': '1512.2.c.d.757.16', 'target_level': 1512, 'twist_class_label': '1512.2.c.d.757.1', 'twist_class_level': 1512, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43071182
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354620904, 'source_is_minimal': True, 'source_label': '1512.2.c.d.757.1', 'source_level': 1512, 'target_conrey_index': 3025, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13510936354625440, 'target_is_minimal': False, 'target_label': '6048.2.c.d.3025.6', 'target_level': 6048, 'twist_class_label': '1512.2.c.d.757.1', 'twist_class_level': 1512, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43071183
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354620904, 'source_is_minimal': True, 'source_label': '1512.2.c.d.757.1', 'source_level': 1512, 'target_conrey_index': 3025, 'target_dim': 16, 'target_embedding_index': 11, 'target_hecke_orbit_code': 13510936354625440, 'target_is_minimal': False, 'target_label': '6048.2.c.d.3025.11', 'target_level': 6048, 'twist_class_label': '1512.2.c.d.757.1', 'twist_class_level': 1512, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43071184
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354620904, 'source_is_minimal': True, 'source_label': '1512.2.c.d.757.1', 'source_level': 1512, 'target_conrey_index': 757, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13510936354620904, 'target_is_minimal': True, 'target_label': '1512.2.c.d.757.4', 'target_level': 1512, 'twist_class_label': '1512.2.c.d.757.1', 'twist_class_level': 1512, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43071185
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354620904, 'source_is_minimal': True, 'source_label': '1512.2.c.d.757.1', 'source_level': 1512, 'target_conrey_index': 3025, 'target_dim': 16, 'target_embedding_index': 12, 'target_hecke_orbit_code': 13510936354625440, 'target_is_minimal': False, 'target_label': '6048.2.c.d.3025.12', 'target_level': 6048, 'twist_class_label': '1512.2.c.d.757.1', 'twist_class_level': 1512, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43071186
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354620904, 'source_is_minimal': True, 'source_label': '1512.2.c.d.757.1', 'source_level': 1512, 'target_conrey_index': 757, 'target_dim': 16, 'target_embedding_index': 13, 'target_hecke_orbit_code': 13510936354620904, 'target_is_minimal': True, 'target_label': '1512.2.c.d.757.13', 'target_level': 1512, 'twist_class_label': '1512.2.c.d.757.1', 'twist_class_level': 1512, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43071187
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936354620904, 'source_is_minimal': True, 'source_label': '1512.2.c.d.757.1', 'source_level': 1512, 'target_conrey_index': 3025, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13510936354625440, 'target_is_minimal': False, 'target_label': '6048.2.c.d.3025.5', 'target_level': 6048, 'twist_class_label': '1512.2.c.d.757.1', 'twist_class_level': 1512, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2001950
{'charpoly_factorization': [[[16, 0, 8, 0, 4, 0, 2, 0, 1], 2]], 'hecke_orbit_code': 13510936354620904, 'p': 2}
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id: 2001951
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13510936354620904, 'p': 3}
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id: 2001952
{'charpoly_factorization': [[[1, 0, 332, 0, 194, 0, 28, 0, 1], 2]], 'hecke_orbit_code': 13510936354620904, 'p': 5}
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id: 2001953
{'charpoly_factorization': [[[1, 1], 16]], 'hecke_orbit_code': 13510936354620904, 'p': 7}
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id: 2001954
{'charpoly_factorization': [[[1, 0, 332, 0, 194, 0, 28, 0, 1], 2]], 'hecke_orbit_code': 13510936354620904, 'p': 11}
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id: 2001955
{'charpoly_factorization': [[[16, 0, 6944, 0, 1196, 0, 64, 0, 1], 2]], 'hecke_orbit_code': 13510936354620904, 'p': 13}
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id: 2001956
{'charpoly_factorization': [[[-10, 0, 1], 8]], 'hecke_orbit_code': 13510936354620904, 'p': 17}
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id: 2001957
{'charpoly_factorization': [[[5, 0, 10, 0, 1], 4]], 'hecke_orbit_code': 13510936354620904, 'p': 19}
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id: 2001958
{'charpoly_factorization': [[[491401, 0, -99348, 0, 5834, 0, -132, 0, 1], 2]], 'hecke_orbit_code': 13510936354620904, 'p': 23}
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id: 2001959
{'charpoly_factorization': [[[633616, 0, 149872, 0, 10124, 0, 188, 0, 1], 2]], 'hecke_orbit_code': 13510936354620904, 'p': 29}
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id: 2001960
{'charpoly_factorization': [[[205, 130, -10, -10, 1], 4]], 'hecke_orbit_code': 13510936354620904, 'p': 31}
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id: 2001961
{'charpoly_factorization': [[[361, 0, 1624, 0, 1766, 0, 104, 0, 1], 2]], 'hecke_orbit_code': 13510936354620904, 'p': 37}
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id: 2001962
{'charpoly_factorization': [[[78961, 0, -44892, 0, 3794, 0, -108, 0, 1], 2]], 'hecke_orbit_code': 13510936354620904, 'p': 41}
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id: 2001963
{'charpoly_factorization': [[[55413136, 0, 2809856, 0, 50156, 0, 376, 0, 1], 2]], 'hecke_orbit_code': 13510936354620904, 'p': 43}
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id: 2001964
{'charpoly_factorization': [[[104976, 0, -198288, 0, 16524, 0, -252, 0, 1], 2]], 'hecke_orbit_code': 13510936354620904, 'p': 47}
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id: 2001965
{'charpoly_factorization': [[[952576, 0, 200192, 0, 12464, 0, 208, 0, 1], 2]], 'hecke_orbit_code': 13510936354620904, 'p': 53}
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id: 2001966
{'charpoly_factorization': [[[26896, 0, 16528, 0, 2444, 0, 92, 0, 1], 2]], 'hecke_orbit_code': 13510936354620904, 'p': 59}
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id: 2001967
{'charpoly_factorization': [[[430336, 0, 132224, 0, 9776, 0, 184, 0, 1], 2]], 'hecke_orbit_code': 13510936354620904, 'p': 61}
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id: 2001968
{'charpoly_factorization': [[[524176, 0, 895904, 0, 29036, 0, 304, 0, 1], 2]], 'hecke_orbit_code': 13510936354620904, 'p': 67}
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id: 2001969
{'charpoly_factorization': [[[1256641, 0, -190588, 0, 9474, 0, -172, 0, 1], 2]], 'hecke_orbit_code': 13510936354620904, 'p': 71}
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id: 2001970
{'charpoly_factorization': [[[-324, 324, -54, -6, 1], 4]], 'hecke_orbit_code': 13510936354620904, 'p': 73}
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id: 2001971
{'charpoly_factorization': [[[6156, 1404, -234, -6, 1], 4]], 'hecke_orbit_code': 13510936354620904, 'p': 79}
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id: 2001972
{'charpoly_factorization': [[[75968656, 0, 3591728, 0, 59564, 0, 412, 0, 1], 2]], 'hecke_orbit_code': 13510936354620904, 'p': 83}
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id: 2001973
{'charpoly_factorization': [[[25816561, 0, -1814892, 0, 40274, 0, -348, 0, 1], 2]], 'hecke_orbit_code': 13510936354620904, 'p': 89}
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id: 2001974
{'charpoly_factorization': [[[-124, -2, 1], 8]], 'hecke_orbit_code': 13510936354620904, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 4, 'label': '1512.2.c.d', 'level': 1512, 'portrait': 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bnj0xkIhonLSl8wP6FZamtOXlAErsf8NGydi9g4M2TDTMj8TMjWjYbt84ortrnUVINjJ1t8/WmPRw8mPHkiJlVdvuMVbd7+MkNNzXDwxCTHzjqcuZhyPgP34UXDjVct8AvvXWHb7ARnL05ycSVgqe2y3JasdlM6vZTeEA4eX+Tw6dUrnji08MrDpy/sPHbm4hduef07o/vu+MQLDYlv6vYtzeBLy22ixKAk7/va40de9vO/+Sn5zpccetm/ePsZZ3F1A8udFkurdZbaHktth6U2LLdTltsxS6sp51fhyJJgbnaVX/qBJW7aU+fUhWnOXmxwdtHhwpLh/GLC6YWUi92EyekhL7+mx0suB0/W8JXPheWAc4sO55cF/RCSRBN4mkaQMjWRoIET5xM6Pdix0aVRCzFGgPDoDTTb50OWVh0wVoqs9iBMwGBYbkds2eDSHSiEMggd0gpctm8astoXnDjrkGqHmZakGQh8F5JE0A8l55cl55YMF1YSfH8IbsItV/Z42VWCuVaNpZUWpy74nF2EC4sJF5YTzizDkSXDDVcu8ss/sML8ZIuT56c5v1RjYcVjsS1ZXk1Z6cSsdFKWu5rFruR0B1ZWuvz6/xkm73lt82vB7I9or3n51wTm541QeP63bnb0W5bBP/xHn+Tlt1zPv/yX/+pX/uSTd/2fH/qzL1+6/+TqzkNnevLlV3e5ZLMmTR2MURhj2RsjAQkIhDA4wuBJOLtU48HDkmt2L3P5tiH1AFxH4rkKz3No1CR1V9LvuRw4HvDFRz1OXAzpJDEHToVsnFnmrS9f4ZpLu9xweZvjiwmLfUHdH3L0rKHdaXD1JZLVYcq+44pm3eGZE3DZZsMwShmmHo4TM9WE/ad8lJPiygTHhUEouenyPoO+5JpLUzqDlBNnm+yaVzTqEauhYcNkn5Veh4/fBY8fS3ny2JAdm5e4dm+HqemIt9zS5btfZdg93ySNJzl2ZoIjp11Ondecvhhz+mLKkYuCk6sxL9qzwC/9QJeNk5OcOj/NhaU6C6seS23JSjul3Y1Z7aWs9AzLPcGFvmK5k3DjFYv85D9ckIFjdi5cOL4rCuOb/dauWlCb/tKjX/80v/N7f/ZCQ2bd27ckg3/szz/Fi6/Zpr701QP/19Hj5//tw08dVxdWIpaHDmf7mmt2XODXf2KB63bXubA0xVK7znI7YLntstxxWOnCSjtlpZOw3E1YbMOpFYFTG/LSq5b5nldF7NrQYLXX4uJyjYVlj8W2YLltJcJKV9MZaDqhoT9MmGnFbN+oAYHvGk5fdBHSZ8cGxa7Nhs0b+lxYCXniUJMXX2ao11Z4+vA0zUZEFLnMTGkGQ7hi+5CP3jXJ3m0JYWiYnZDE6YBm4PPM8SE1t8F1exKePBpxYcljy4zPrk2wfT5CqZjTi+C5BiEMOzYmTDUl3YFPr+/S6bssdxTLq7DU1iy3UxbbKefbsDRM2b6lx/fcushLL3cI3BbnFlssrgQsrjosdwQrbc1qN2alm7LaMyz14HxXcWE14aa953n/Tyxx6ZYGS+0W7a5PP2wh/ctSJ5j/lU5y2S/X5On01td+1wsNnTW3bymAHzp4kCAIaufOnd7+2BPPvvvIsTP/Yf+hUwwiSXcI7YFllLPdhBsuOc9/+Yllrr2kxsWVKZZW66x0ApY7Lisdh5UOtLua1W7CSjdhuWO40Bac7RkQPd7+ijZvuUlzyaaAKKqz0g5Y7Xm0u4qVnqDbFwxDQ5QY0hSUNPgu1HzDZMuwYTrGcYccORfx1GEfnTR4080RjrvKI/sm2LkJPv9gwiuu9rnYHhA4iiSNmZ6CJHZx3ISlpTovv77D5+9vsmsTPHwoxKXOG2/SJGLAU0dSjp0OcKTHximHqYag5gs8T6AEJBqi2DCMoNs3rPY03b5mta9Z6hkGacqOrX3e8pI2b39ZBLrJ0uoEF5drVm93HFbasNpNafcSVjNwL/fhXEex0Em5Yc8F3v8TF7lyR42FlUlWu3U6fY9O12OlI3BrW/HqG//dlq2X//n2bVtPDsPh4LI9e15oKBW3bxmAHzt6mNm5Oe/w4cM/dOTwoQ88+tgTYnG5J/tDTW+Q0h0augNYHUguDiTnujE3XXqRX/vRJa6/NGBxdZKl1QYrHZ/VrsdK12G1K2h3De1eymo3od3TrPQMF7uCc23N1GSf19/Q5ZbLE3ZsVLRqLp1ugO9KQBElEq0F2kB/CAjNVHPIoTMGbSLufLhB2K9x6RaPl17TJ9ar3PPoJNdd5nLofI/2SouXXNPnS4/4bJw27Dth+N/e1mHfcZ+N05IvPqp46RWK5X6Ho6emuW5PxD1PDUjCOrdc6bF725BB0uOORxSkgiOnHVp1B0dAfyDRRpBqQ5wAUuN4mnbP0GjGbNsU8rIr+rz+xQkzjYALyxMsrdZY6dhzs9IRtHvQ7ia0ewntXkq7b1juS853BYvdhJv3LvArP7rAtbsCFlYnLLh7Pp2+S7fv0Ok7tHsQJYHee/k15pLdl/7UJZfs/oPFxYVoz7cIyL8lAJ4kiYzCwVsfuv/zl7a7yfsfeOgRN0kgjKE/SOgPU3pDTW9o6A4E7YHg4kBytp1wyxUXed+PLvDi3R6rnQkWVpq0ewGrXY/VnkO7q2j3odszdPqJdQcGmnbfsNATLPQgTkOuvWzA/HRKr29480tCds5rklTiSEMUw91PBJy8GLBpKuHpIwHoOpdvVVy/V+MHfR451GdhscFVOxu0Jle4/0mXGy8LWOqvsrLSYn7e8OA+xfe9psdD+xy2bnBZ7LVZWZ7m+iv63P90ynRtkqsu7XGx3ebBZyepOQ1u2GvYs30IsscTxwQbpmMuLMTc84TLMFZICak27NwU8fqXRHR7is1Tmusvgyiqs9yus9z2We25dPqKdk/S6UGnb52Sbj+l09es9g3LA8mZjqA9CHnpngV++UdWuOEye3G0uzU6fZ9uBu7uQNEdSHoDQW+QEkYpL7ruhjjV6me++x1vPdyo1z7ruq5+obH1gmcyw7BPHPV/4NSxR3594fzB6XMXVphoSIaRDRSNqcbB1gIUwiClQUqHhw5u5Oc/5PC2ly7zntcss2tLxPmlFr5Xo+Z71H2XRs2hW5M0By4TDcdeMIOUjaFmEBq6Q5/lhYDTpwxRojlzPsH3DSDwlMGRgv5AIXBJ+g4v2inYvdmwfUufMO1y+0OK/YeneMOLfa6/YoWP3G7wRJ2dW/o8eb9iy6RittUnUDWi2OViFxqBw9aNgsf3R1y/p8arrlvkD28b4LlNXnezwfX7fPnBiM8/0ODZYzUu2Vxn56aUuamIXbMxV+9MUUrjKAMY6r7P3KRPFLt0+x5PH3LpDR36A0VvKOkNoDc09Pr2b+8OUnoDQ2dgWB3AQl9xYcVQn2jz029a4LteGnLtJQ3OLbZo9wK6ObgHil72MwehYBhZAggjwz1ffchtNKd/fXZu4/Ktr7j5X3S7/T9sNusvKL5eUICncQ+E+ZEzJ+973/GDd01Hgz5130MgkUJgF5gS4EKAFLaTRkmDkimelDx5aI7HDjY4dPYib3tZj5ddOWSy2WK5XafRCWgNPHoZ6/SGksHQoR86DEPDMNJEsSGODUlqjyjxMBqkEriOIPAEk03BVBPmZzVbN/aZnWrzhUfg3sdcpJ7gDS92edHlXe57NiYatnjpiwTtwYCLSw1u2aOZnexTc3yGiWKhE6O04EV7HOrNkEcPBLzy+glecm2XRw8oMBO8+EqPH/6OZb70eMQXH2qw72TA9jnF/HSNqWadiSbUfHAdg5KgDew7JkhTQZwIomwFHIaGYZgyCDXDUNMfavqhpjeATggLPcnFLoR6yGuvW+atL2vzj16nSZIW5xcbdHoB3YFHb+DSGyi6A0V/KOgPBYPQMBhqBmHKMNIMhppzi2c5/fEvTK/29H96+1tf6ax2+h+abL1wIH/BAD4crJCm5odXzn/5fQun7tzgmCGtho9SKUJYMCMkAoEQCiEEUpKBG5QyOMrgKk3NFSz2a3zsrq18+bEOr7h6lfe+dpWrd/WYmayztFqnO/DpD9wM2MoekSCMJXEiSBK71NvaLRtUOg4EHtRrmulmzJYNfRJ6HDoT8/F7Ao6eajDp17jxSodbrunw4ME2d369xc2XBWzf1OejdwmU8Gk1Y1Z7IdqAEjDX6tPpeuikxltfcZGPfb7O7gsBb7m5TxQvcc9TM8RpwE1XbuAtN3a4bFubLz/a58lTdZ445rF1WjLdEtR9gefai1AKEMKgDWhtiJPsYo0NYWwv5GEEgwi6Q8FKKFjugnCGXLd3lfe+fpVXXJky06qx0qnT7tbo9n16Q5feoFwJ+qFkMIR+duEMh5pBlDIMDYMQEq04c77Nh//sixuGMe97z3e9zFxYWPn9jXNT/+8AuFn+vzm/dCXDxU/94GAwfP/KxadnTbJK4Pto0gxggpzAhZAIIRBCoqSDlClKiWx51rjK4DuGmiNYGSqW2lN84u4GDzzd46XXrvLe161y3e42M2mNJPHpDwN6A5dB6BDFijiRJKkk1QJthM2CCoPvaepBgu9FeG7ImaWQ2x6WHD7tcez0FEr77N7kccUuxYsv76D8BZ460mTLZJ2rLoH5uRWWOy2u3iJJtOELD/mEfclkI+GNNw357D0xJ8832Xupy7nVIc8cddm2cYprdy1w35Nd7n9GEEYel++a5vJtPpdv7XLk3DKHz8BD++scOtqg7gh8R9LwDYELUto1zxh7sSYpRAlEqaAXCjpDQSeGSCdoM+SGyzq89/UdXnF1yqZpn+FwgqV2QLfn0xt69AcOvaGiP1QMQsFgKBmEtm90GKbW4w+1BXekGUbW0Ym1Yulimz/8xF0b9h+78H6/0Uje/8HbP/LgM8f581//8b+/AP9X7/sATP0+Xpt/5CQnflN3L0660sP4HkIkFtiYjMEVQmDZWgqUEjhKZfcaR6W4jsBzNJ5r8F1D3UuZDATd0GWlM8Un721x1xNDNk71efetbS7fNmQ46HHVLsO2eUUYu6RpmeYXGKTUuE7KiQuGY+cFqwPNZ+6rc2ZxChO5TAWKzTMOO+YdLtkCV+3uoOUiH/xsg+XlCW6+3OGq3W2+/IRAJC4bpiSNekI/9pBGgpEox6M9FFxYFlxp6tz64i5fe7TG5lmPm6+a5p98xyJ/8PkuDx1o0Bu6LK022bW5xt5NfW7a0+Udr+xydnmZz9zns9T3OXHO5cwZD1cJpLSrnjaGVEOsDWmimZqJuebKPmEYc/m2kHfeGrJhQjHd9InjgHMLAf2BRz+0q9ygALbV2oNQMAyxK0EmScKMuYexyUAOg1gwiAURDgfOdHjyk1+f3bNz9jdfct2G+M9/ffOfLp54P7M7fubvH8B/4pc/ytQ1/0h8/78S79o68fTvfc8rn6lfsTNAyQYDaVlTZMtsobWlQUmFlBIlJY4SOCq7dwSuk+I5As/VBK6hFhvqkWEiSJmqCfqRpBs1OHa6wa/96TToBJEkvPiaPrvmI5IEtNEYY5M4UgikEjiux4GTHvsOBzQCh6Ynma0L5mYkG6YdNs8pdmxK2btjlVQs8d8/1eLEyUlu3uNy+c6UQdLl60/5TNZcZiYMk82Ies1KIa0l7aFiuWdYaqe0ezVeftUqD+/rs/+kYrIVcNOVk/zoW5f4rU/Do4cb9AaG1a7DheUW87N1NkwN2TEz5F+9q0+r3ubJY3DglMR1DUoZhNCAsf8ZSBLYOZ/y0qsT0tglTnyMqTOMXM4vegxCu6INI1XIt0EkGIaCYWRZO4xsVjYMNWGkGcY6e80UzJ2DuxsL2rGgHRmS/pCo+/jkd90893v/Y3EpkZM/8IneucA0Nv3zvz8A//f/+c+4Zvu0uuPBj7z90Imlj/zJg4vB4/sn+bV/2mHvNoNSKUpqpNRI4VlgKweljA0mlcr0tsR1rOb0XEXoSsJI40cpYWyoxZow1kSRoZVAGGvCBKJEMIwlYeoTpwH7Dzd4Yj+kxmChbbWxK8FTtuaj6cNVm6BVg4mGZKqpmJl02DAN2+dDNs2tEptl/vunJjhydILrL1FcslWye+sKX3km4cLSBC/eJZlqaQJvgC99jBIkqUQYQ5JGrPQCLiy5XH95jRft6XLfowEbpwT1oMn1ezQ//fYlfvPTmmfONFntaVa7ioUVh9nJBlOtGlOtCVr1mLlGzI7rI3w3wXUSlEqRwgYTBntRxbHi4oJDnCjiRBHFijDO7iNJGEvCSDKMJGEkbIAaCcLIEEb2vIZRShRlmj62rw8jGMaCYQz9WNCNBKuxpBul6OGAF+1c5n0/ucjrrz5T77Xdj4Srn9bt4bWfOnPgD9Mte//xtz/A/9P/+DNaTV89dfz8O8+fOveHjx84E4jWNLc/6OI6gl/+sVWu2JLiKI1UOgO3toe0AHeVwXUUrmNwI4nnCvshuILQU0SxBXocG6Ikta5IUjlSSFJDmmpSjdXbmgLcuRRyJLgu+I4g8AV1X9KoKybqkqkJwYbphB3zfZqNVT71tYh7nppmdbHFNdsVOza5XLZtSCpW+cJDdRquw9yUolkf8tQRePaow9XbDP1Qce1lMdfsNpw/l7Kw4jEY1nnTjV2++uSAQ2cUjZrE91pcfYnml39wibufGfDZu2dZ6hh2bEhZaTtMthQTDZdm3aVRMwS+xvc0vpPiKCu1ZNZaaQw2YaUFiZYkqSBJBHEiiRJBHEvC2DovUSyIYkMUQRinRLEmqhBHGFcPC+5BBu5OLGnH0A9jZNLn+p3L/OKPLfOmGw2d3hTd/skgEjN/bJyj/7inp//i4BMfTfe86Pu+vQF+YgWZXuy+5+zpM/9z3/4TwWzdZSkSDGnx1/dLolDxzld3eNdru0y1EroyxZF+prOtHnYdBzd28B3F0LVME7qSyBNEsbAfTqyIE4hiaR2EpLT9klSTptZdSE3mlGRuSe7OKGllj+cIfE8S+JJGTdCqGyabmo3TIXNTXRKzyie+KvmDz8+wIQi4Zrtg+yaXnZs1Ozat8KmvG5aXAy6fV0y1oFmPuXBccnHFx9sFYSyYm5BMTsKhY4aVjub8YsBlOwNe8+Iut90bMNME3/NQcpKrdwt+7C0XceVF/vq+KZ49E7CxE7NhMmGioWjWFPWapOY7+B74LjiOdZikACkqIMde2KmGNBUkKRnQIU4NUQJxnFpSiDVRfh/rzHbMXZnMgkysJOnFgk4i6caaaBgx4Xf4njct8a5be7zueuj06vSHNcI4oNs7FtQn+L3ZDT1HOerPsDzz7Qnw3/rQp0lT/YOf/+rR//LsgZOtmqeopYZJBwQOQ9nkCw8pvv5MwLmVJf63d/SZaiWEfkynH+A4Hq7j4jouXpQSuQ5eZKVJFNtUumUcYZkoY6UkgTiFNLVOgtY24NLa5D2cGbgtwG3gKnAdC5DAh3qgadYSJpsJc5MDZqdW+dr+iD++s8aBY5PsnHDZPQ9b5z22boS92zv0kw4P7mtRUy5zU4rJJkw2Q6YmEjzPyRJXMAg9ljsxq31Du5dwccVj+3yTl1x+kTsf6nPgTIu6H+MqDyEm2L1F8f2vW+SGvRf54zubPPj0JEs9hw2thMl6Qj2Q1AKF7wp8V+K6NlZRisw+tCg32B5WrSmAnqQ6W90yazHRJKkFdxJDlJjyiK0rM0wsqfRjQScRdBMYDhN0MmCm1uGnvnuZf/m9Peq+R7tTZxj5hLFHnCikUsSDw63VpeS/O40bveP7/vIPdl7xjm8/gC+vtFFK/cgHPvTJ9y2eOzUz05BoYwpGUULQFop+q8Fq6PBf/txl35EV3vrKPrde12PjbES3U2PgeHiuh++5hJGD71l7Lwd4HEuixC67cZJ52imZ9UfG3BJtKMFtk5QZc4OjbMLEcw2Bp6kFCc0gYaoVsmm2w4V2nw98xuULD0+zvNLg0jnB9g2CLRs8tm4Q7No8xPFW+dg9DkdPNdizUTLVlEw0UqQMObNg8B2JFGCMIIoddmzo8BApnb5ipWO4sFxjz9aAd9za5i++7HH8go/rxAjhok2DOJG8eNcKO763wxce7fPRL0zzyPEGW6YEs42URpASeALfFXiujVUchQ2cpShqMgz2ItMG67SkFvA5yJPUSjoLdohSW+sS5cmjRDBIoJtIugkMIk3aD9k62+VV16/wna/s8+YbNY6os7JaI4w9wsgjih3ixCFOJDqts9JZmpnZNHj/pde8Qw0H7Q8Ftf81NeX/SwC+vNLG89x/8rkv3PO+J598ZkPTM8TasqqSZO6IQEmBJwVdGdCOHD72lYC7n+xy/eUdvvd1fd5yc5uZSZ/B0GcQeviuS5S42cmyIE8SRZxKkkQSp4IkkaSpINWi1NpaUKgSk2dEbbJIZckiz9X4XkrNT2jWQmYnewziAV9+yvDxr0zw4NOTTHkuV28xbJqWbJzx2Dwn2box4pItKzx5fMBnvjrHhHKYmxC0GoJWPabdT/n81wOannWHtIFB6PDWl4Z87gFbE9PuaS6uOGzd0ORtL+vx4P4u+w55NPwEJYUFua4zjKzW//7XtNmz6SIfu7vD/c9OcnKlxnxLMBEY6p4mcDSeC44S2fnOmRzy8iOdSTWtyxUuyYBuCQLiVBCnGbBTwTAR9BNBL8XGPFFEo9bnbW9Y5j2v6/DiPSkbp1wGwwadni0bCCP7mcWxIkoUSWw/rygS9E7s3yD9+993yd5X6n6v8+F6o/WtDfCVlVW63R5S8ANfuuve//z5278002mvUvMVju3MwZEGR1rXwhHgSfAldKVL31Wc7vicfaDOA0/1+ItrurzzNQPe+NIh05MeUegTJi5R7Fo2yICepIokzRI2aQlwbTLm1mVNWW5DKmnrOBxH47kpvhdT8yOatQEpA770qORP75rk6WMTiNhn55Rh06RhdlIxN+0xPyvZPBezfb7DqYUuv/PZBklYY+tWwWTTodWAVj1GuBGdQYPJpkEIgTEQJ5JpX5HohG7s0e2nrHQUZxZqXHlJkx//h6u8/898Tiw0cFScXRgOSRIwjCTzMz4vvrTDNZf0eObEGT7+lRp3PjLJ2XaNhq9oetBwDZ5jcJU950pmkqzyeWnAaHvRpVqQGkhSYf3zVBClNkk0SAWDFAaJIUkSdBwyEwx402tXefdru7zi6piJmksUN1hp53LEIYrdLDbKk2qKJBF25U0Uw26HzmN3b4hi9Z8v3Xtjsnjx7B8F9QaNxt8dm/+dAnwwGNBqNb7z6w88/Ftf+MKXW/1+h3rgECcGKQUygSQ72VJkYE9tMZOnNLVU0Fce/cThYhjw1w80uOfpPjd9scc/++4uV2zvsGFS0ao7RLFHlLgkSQnyNAe4lmgjMcZKAlMElFmqXxkbxDoJvpfgqojOIGahE/Mbnwo4dnGKR/dNYrTHTE2wYdYwOyGYaSlmJl02zkjmZxK2zPWZmVzhC49pHnl2kmu2CqaakmZd0qprGrUI4Yb4voOj7O83BtJUMggdBsOYRAu6A023Z1juuJxfanHL3h4vuXKVj30xoLascGRsAWkcktQjim2P5+xkwA27e9xwaY+HXnWWEwuSP75zkourdU4v+XhK0nAFXi7DpJWIBZHnUgXL5IkRJBpiLQhTGCYQaQNpAkmMVCGbpwZcs8N+HjdekdKqOSRJg3bXAjvJgG1X2NyWlMW9Bbcs4qVOv8ejD909o3F+67K9160Mh4PP/F1i8u8M4MePHWbTpnn18Y9//NJn9x1sDfpt6r5DlBq7RCa2viNOBSqx9p+TgpMKXGXwEkOQCupKMFCCvuMzSF2Wohp3PjLB154d0PBD/vGb22ydSdi5ecAtV3VxhG0RE8LKFZuVtLXSxlSYG4OQBiWsZ25IQCY8c0zy8H6H2x5s8szJJlFSp+ko5mqG6YZhqm6sD95ymJ5wmJkUzE8nbJ4bsGluhXueDvngbRvYNOkw14JWQ9FqCJr1hJof8rWDimHk4DYsqIyxDBY4iuv2DHjgqUlb+DRIWe24LK76XFic4sffcoHTi0s88PgcrgREjIYCQGEk6Q0cppoBk60GL9nT51XX9PneVy+w/5Tmcw8GPLi/xsGjDRLhEIaKfqxQRelDNfDMcgJGk2iD0RpXpEx4EQExL7m+x65NQ7bOxrz3jSE1T9KouURRnXbXy1ZSJyMcVXjtJbjHD5HJSQvydq/NA1+/r3X69PlLv+MfvlMdOnQoveyyy751AP7U08+QmIb35BMP/5Dn6v8y6Lep1zziJCttFdbflolASsvYKsFKhNTgJOBKgasNfmoIlKCeCkINw9RlkLr004BuN+U/f2wKk8RsnBty5fYhMxMJ73zNgO0bIuJYZHpbQoW5yfSnlBohBZ+8u8aTRxoIx+HE2TpnLtQJaooJXzDZMLQCTSuAZk0wUVe0moqppsPMJMxOJmycGbJlQ4fUrPLJr7YY9BpcttXQqiuadUmzpmkGCa4b8YUHAsK+xN1gu0VzidKoKd5004B7H9P0QklvkNLpO6x2Hc4v1bliV5N3vqLDo8/UObHcREkNxJledolTRRjbxExv6NDueTRrdRq1kCu2Drl575BTF9scP7eK46Y8cdThL75SRyhbuMb4/EGjAQ3GEEcpOzYmvPs1A2ZbKXt3GDbOQJq4hFGTJHFZ6biZnnayOCiXIPm9JE5l5mqJ7LFNdMWxIMm0vQW7w9lzyzQno//yyMMP9m+4bucfHD/6dLTzkqu/NQB+5OgJXPf8npWlcx84uO9hKaXCcxVCaITUiERmZa5WfyfSsnmiBU5idWKcGtzUakDfMQSpsSdBG6JUEGpJmEoi7RJrWOi1+MqTGkPKXz1oRzZgdHbkWbzMIhN5RaJEKkUSO0jt4DqSpg+75gwNV1P3NXUf6r6gUZM0a1YOTTQlUy2YmUiYmwrZPNclZYXf+MuA+57awO4ZmKpn7F2XNGsJ9VpEoz6gVqvjK4mSmQbHyoE4dhkOBIMwpRsqekNNd6Bty1zD4/SFCV5+ZchPv+sCv/4XDidXfYTQGBOjU0OcuESxZBjaMtbmwKEReNRrAXW/TuDHNGsRL74swnNjbrws4b2v7eOoJEsCaYQwo6I8k3RaS4SQ+K4CPIahw9KKY+t20jzmyY5EljFQVriWgzt3tvLEUpKWzG2/RlHJmaSGBx54UE42xQf2B8Ov9vvDp/8usPn/GOCf/vSnmZoIavsPHHn7gQOHhCPtTD2lbDmgEBKZVegpZRMwShlUCiq12jBJwUlt72OSR/RpFtXnkb0W5XMtiLQkMZJUO8TaJ81sr+qtyFIKcISwmUoFQc0QOIZApfgu+A4EnqHmC2qepF6T1APHArwhmGxqplsJM5MhG6Z7bN6wxAdv03z0zo1sm1TMNjWthqJZVzTqUK+lNGsx55Y0R875BJ69oCGv9BMMI4dd85r52SGdocdgaDIWl6x2HZq1gGZ9kve+9iJHz53n9z6zBUc6GDSpTkm0IU4cwkgxiGxRVD+Q1IcONd+l5qe0uzbG8NzUJszcFEfaRgkp06z+xx62dMV+ZhbkgrbOqiy1jWvSVKK1JNFlvJOkohLg548r90lWo56K7HWy+xzY1l0zCOo1l4MHnxFhFL99buPOI7d//jODN7/lO19YgE9PeF53deHn+t3Fn3OdRCops9OUaz1dFE6l2tZyp6mwgV5qSDQ4qfWr0zz5oE323BSvlY/LSjnr5YoiUKpqbiDL5JksoNU4kqymBVwlcB1jfWNHEPiSwJPUfEUtUDRrkmbdMNFImWwmTLdCZqf6bN+4xIMHQz5292amAp+NTU2rLiy4a5JGoGkECc16yIMH4In9dS6dM9m5KNPmg1Bx417DZdsHPPT0JP3QMBim9AZOBnKXelCjFkzyPa9c5omDF3lg3zwYhdapLYdNDElsinqSQehQHxpqgSLwNL7n4nspvqNxnBTXsdnhvAxCZkVuCIOg1HNlcG5LiHXuSOncfq1YsTmwtQVt+TzPlpaHJTAL8jS1RWBJkauwyYmLi6HUnP+/Yl3zarX6rwDRCwbwMOzLcDj8xc9/9mP/otc57zVqjj05GSiFFigpSWQOcEGqbEJBpYZUGRxtn9sTZ9ApxeM0z7iZPPNm0FkmLk9WGGOoZN5HVtw8VZ0ndJTMMpaKStGWzf75niLwFTVfUK8JmjVDq54y0UiYbIbMTAzYPLfCAwcG/OIfbuTk6UkumdVM1qFVUzRqikYAjSClFsR47pD20FZDusq6SPkt1ZkWTTxatZh+oulnddb9YUq3L2nXFPWuT+A32Tkf88s/1Obff0Ty9X0bMSi00aSpJkkTokQTxYphpBj4klqoCDyJ7xl8T+E7Gte1fr+j8lqfrFozkylCmNEG3Sy1bzISMVktS5oBPtXlvSUjmd2LEuD547QsDchXZ5uEM8W91nkCynD46CnPiOBnfvAHv8/t9fv/rlGv/63T+X9rgPd6HeI4/pWnn7jvf19ZPBk0a9Jmw3RZ76AzOaGkIFE5kA1aWnCnGbh1/lgLtDYj/956tGC0sV3kWQlo9WAM4HlHkMjBLfKaciuJnKwVzXUkvmcHAAW+HclQ8w2NQNOsp7TqMRPNiOnWgM1zqzywv8+//4NZDpycZse0dViaNUmjLi171wz1IKUexMRpxJ98sYlUClcalChtQm3yJdzl+9+wwh2PRHQjn34G8N5A0e0p2r5D4Pn4bou92xL+ww8v8Qt/ILj/6Y1oI0m1TavHiS00CyNNGNhyV98XBK7A92xm03NMkbG1hW25XWtdrgLgZcoTyEgEm0uwbksWyOcAzqYO6CK5RsbuFCtu+g2AnWqTfe65PBUcOHws+NKX7/k/3vKm14pOp/PzrdbfLgn0twb4wvmjGGNecvzIYzVBhO9JVC4rsj9Qa1AaUglKC1IpSIv0cA7uXH5kf2RRK1G2X1mgC1tHkYM6P/Fj7ysHeF6DkWfycvZ2nLzuROK60tZveILAtzNP6n5Ko2bB3WpETLYGzE22eXB/n1/88DTPnJhl65RgplGRJoFDI7D1K7UgoeZHuG7ImaUpXCVQUme2XBlkpqkkSRSbpgxJEtOJg6xTRjMYpnSHklpfEXgunhvgOhNcvjXhP/yTBf7N78MDz24g1dICPDXESZoxuSb0NUEkGXqqkGCuC66TOVdKWomYZZWlACHLMooxjFu5QpYUQhTJIZ0lh/JscZpWXtel5NRpLkVMsRIX5KZLkOf1QrYuJuSrX3u4tmvXzpfI/wc7TvytAP7sE7cjRVh/6rE7PZOs4Hv2TatMhiSywuSpIJXZh6ry55apU6e8ikeBncsQUwDd5HIkf/wc702KsohKSmzAm4FbSZk1SuTyBAIXfE9TCww13+rnei2mVY+YbAyYnWrzyKEhv/ChKZ46McfmScVcQzNREzQDST1Q1GuCWmAvDpvqj3hgn6A39AhUXp6QteGZMtCME4dGoLjlqi4PPtOiH1uZMghT+gNF11f4nsJzvUw/T3LFNs2v/uhFfvZ34f59G4i1JNY6a5YuezBDT+J72rK3W9bROyo/yGRKKePyppP1QJ4nhUwO8AzwaeG8sO7KqzPSqzJ1mprs6/lzKiA3hdQ5f3GVj/zpZ7x3vv0t9T/7xOf63/uuf/C/HuALF0/Qmto2ue/RT/4OZvBKVyVIYSPmVNorV8nK8qRMCXRNxtjlVa6VWJ+1K4DWBbDLpmAy7V18GMIWFAmZgTsrMlIFwEFlFYOuA56L7QTysgIrP6WWyYtmLWSiOWCq2eHxwyG/8KEpnji+gflJh7m6ZqIGjUDQqCnqNUW9YO+UwE9o1ofc84THajtgaqpMk+eA0Tp3FhQbZhSvfVGPex7Wtosm0hWQSwJXErgOruPhODWk1FyxzfC+H73Iz/6u4f4DG4i1Q5xVANqyV8vkfiyL6kLPkThOVoQlBcrJzw3F+8svwlyqiLwqjTIhNH7oyr3Wlfti5V1fhpSvVcCdZgmn7KKIYk27M3jlgYPHfv8nfvidP3HzkeOrl+7e+b8W4IPuGaLBws92Vo69Jx4u4HkuaZatLHSVtEGGzjWXEZnOzq/y8orP5UdayBAK9h4JJMeZO0N6npErtLfMK+hK3Z1XDDoKW5/hGFzXNhYHnibwUmpBQj2IaQQhzfqQ6Yk2jx4M+bnfneXxoxvZMOmyoZ4yUTcZuDP2DiQ137J/4CfU/YhEh3QjH6Ekbs7ghQYXGXtlfnHs0vCGtlwgCpjKQT5M6XuWwX1P2pp4J9+A1nD1TsP7f+IC//p/au7fv5FYO4SpIEp1xuKCINb4rsFzbe+qk8UdjrI2rpIyOz9ZV35+XynMKi7MaqwzBu6ChCrEVAV3EVdViaxyAeSOWc7qpaMmOHNuiWf2H3vP3fc9diQK43/zv5TBh90T+I1tO/Y/8tvXEJ+kXrP1xKk01i3RFRbXhlSJSuAoCnCXfyjFaDSTB5OmDMRKpiizkqa6ZuasXQ0q8+U269BRWTDlOFlnUFaElFcPBm6a6eaYWhAy1eoz0ejywL6En//gLI8d3cjchMNcLWUiMDQzcNcCayfm4K75KYGX0GpE7DtuuPvRBp6UuEpnQVzpUeTLd5wqEu1w64tjLr2kx5GTNebqlH2OYUp/mLGwo3Act+hyEsJw1Q741R9b5N/8ruarz8wxjGs2GZYY6lkNt+9iQe7kq5cuelulSosVTklRAbiogJw1eqUEuRkFeFGhWK68663M46/lNrCu6PZckyda8fTBc/h3PHzNf/x3P7bj2YNnTly555vf7vCbBrhJDoIKdg6W7/hvvjz7nb6zCsYnTiCRklQZZKGvZUWG5HZSBnJjClBXl7TcHzaFpz3mkqxxSzLmHge3MEiV24JZzYvKWNsxeI7GdTW+q/G9hMBLCPyIehAyPdFnpdvn3qfhV/90nicPzzKbgXuyZmjWBI1AFF65dV60ZW/PArzmh0RpynAQECh7kUkhRir58kSKDTQdq+WdkDAyDGJRAbjG81I818F1pZ0qIN0C4Ai4dpfgV39ihf/8Zwn375/hbLvFsCGZTA3NxBBkEwd812Tef+6kmIK9c6mSA7x4v9mbruK8UIjZh5KvqiW4RyWlNnnFoql83iXQS5li9XyR78gC0zgRLHYG7D+58p1/+tdfTd/0yiv/jycPHDt+7d5df7cAf/DxkyCXbk47T7y9njxOLZhBG43ARuJJKlEyZ3CzxivNo+tcklhQi2xpyxM2o1KkCvD8FFdVYf4h2HEPOXubTJ6YynAgWxbrOjobM5EW4Pa9DNzTPRZWBrzvT+p85utzLPammJuQzAUZuAOru+tZYFnzJXXfZAxutXfgR0DEXY97rMQeMz4j9diI0RUqTW3zQ8t3eM31fR44ENGNfSaKjnWNF9padc+xAHeUQUkXIW2CBgOXb5P8+j/r8LkHBvzKhzdyenGKwaTDpCdoJpp6An5sRy97yg40cvNAU4oiCM7vq4F69cIUougVKT4fGJOQVWBX4iddBX81CK0APq0EqUmWFIpTiLTLA08f4JUvab49HTh/IpLB8b9TBu90BzQbwWUPP3zfPz916iiXba6DAcdJLdC01YW6kCiytI5M+dhUtXYB6lyCmNKGGmftqiwhn3plT3Sebs5dAJUDXBlbjuvkvZ22v9NzUzw3IfBifC+mWRvgOH3ueSLl9z/f4rb7NhDpFhtagtnAyhJrAeY+ucoOkTF3lb1jHCfka89O0o8cNtXz9zPO4PnqZstIA1fxkisGJNoCfBAL27Wed66H2gaHTjYbJrP3RJZcNwhmJwXveXWPpn+WD39+wL3PznA+rtEPJK3E0HCMBbmTxSHKZHFJ3nySn0NR1o5LkJQsPr6jYCFV8hEVjGvzavdQWXtucj0+toqnRVIvTxRZoEsJNcflsccO89obrvvnN930msfisH/I9b/xSLhvCPB++xhHD36JoNbabAaHXjUVhBhTR6NthZsDMs0tQonKNHfO3qZIq+cpXzEqR3KtTZZMGAF2xXqo2lfFDJXKvMIsmSJlPtpNZzXfGbiVrcXw3RjPiwnciHp9iOf1+dM7HX7tjzZwZGEa1w+Ybwqm/ZSWb2j40Mg67Gu+zXYGWULI1q+k2Upg5cliJ6UXeXhK4VVq36n8KfmFndduRIlLzR0yPzlgtd9kEIts3JqNFVw3zWw+ldmdygJ8JHC1lY/f+YoeN165wK/+8ZCPfmGO5aRB33dpuJKWY2twfAc8RdEM4eRJn2zlk4VUKRNAVVIZFStVoDOyAmszKjVLbV45qtnqbGVPTVWLC6Qw1JXDwYM97rx736vOLyabV1bah549eJIr92z/fwZwY1L2XnnzzpWFZz+4dOpxmnWbXpHS2CIqaV0TrQ0qyzbmsiTXmnlCwOiyviEPHouTgKhIEjEmTXJwm5JNsuybrAJcmmy+SpW50wzkCZ5jJYnvhfjugOMXEn7vcw0+/dUZjl6YolV3mQ5gyk9p+iZLvefglhm4ZZEUCjLt7Xv2wmk1Qj71NYdDJ2oE2QSuol2MEuXFGAdjdXicOFy+A77jxi6/f/sMvbpDK5s94kdZ3KA0jiOzsXVUQO5WPiy7Kmyflfz89/W5Ztdpfve2aY6en2A5qdF3HRpKUM+A7kljL5zMZSpWv/y85vYhVp+XmU6z1ifPiSkvnSh887WWYiFRqrVE1de0GJEwYN9flEjuuHc/l1955Qdf+5pXvHlpufMNpcrzAtyYCHDpLd23Nek/urvpnQPfyxjUFDXXWgqM0cWHprXMGn1FxSURBaBzuWKq7G1EwQIlK+S0bUZ0YA5skZXgSpkDXGeuSc7eKa6T2M4dJ8H3QzwnpJtGfOATHh/+3DxnlibRqsb0hGLaM0x4mnrG3PUifS+zOpVMmmTeeQFuz2Yvwzji0GmfXuQz5VO05llfniLRU0322Ppoh1bDYdfWCOUP6UZNBp6gFhvCHOBOmiVqlPWxZV4CvF7wqpib6PPj39nn7bee58Of6/B7n5xhcdBg4AQEjqLuCGrK4CfGsnnWJ+vIsrwhz3KuYXLWkSvjDgswEkvlUqRCZFUmz+O0tAJ2bURhOMQahHC4eKrL7V/dv9uo2tbvftP1x5c7munWc2c6nxfgZ86dBjUxJyL5CQZfcRsNSZqa4mRCLjFEAWijBdroAtwFYxfypALsDPAlYwvMuu/EVOxAUwB7dMRbViWXTclynBRHpXhuTOBFeG5EexjxtSclf3pni09+dYZh2sTzPGY8waSnaXiGum+oeyW4A1/i+xI/kyY2MZQ5ExnAPddmPo+dM9z7SJ0odvEbZk2Amd/KdLY9b1GscF2H197Y5WNf6nHgdINBYEczhK7BS8CNNW6kUcoG81ZGyHK4D+X5TLUk0ZK677BxcsC//p4+V2wP+eidTR7eN8HCoMFQebiuQ+AIahL8fMBSbq9KY/MJggrIR2tWxouzqoyeE9S4I5Y/L1m7Auw8+K4C35QN46mBULt89I7H3R94x4s+QbrwonjYW/hbM/iWTfPy6JHHb37m6U9O3LJ7FVfVSFKF0bICVpll5+QI0EfAPSZLiiMHdiZRqgw+Uvhje3QskxcpZV2Ue1rdbXBUagGu0kKOOE5Muxdz39OCP7y9xZ2PTrDcbiJrAc2aYtI1tDxN3TXUPUPNI2Nty9w1XxJ4isATBB5ZhZ7OwK3xXau/lRNy8DScaQc2sZLp29HESVk/Y/sgLcgTLYkih40twWXbBjx1MqEfu4TZjG8vwoJP5ZN180QNjNdplG5VJn9SWx/+7tcOeONNK3z5sS4f+UKLh/e1WOrWaUuPnufgKTvhwJe2EdyRdpc6JcqLVIms7HcdBl9TvzLO5BVC01QCTyNIKV2VNAN4koE+rX7dGLTWyKjHPV/7ywnf/a6b5+dvuJ3nGR70vADXg6P+jo3x/5xnf8PolFSHKKUyMGeNvbpaN5w3+wqMWQ/gouhwHwF45YSM8MKINDEjBfpWluhipqGSqR2In7sZMmahm3DPIw6fv6/JZ+6d4GKngQgC3KZLy4EJ13by1Fwy2QE1T2SHzEpOM93tCfycvXOAOwmelxB4EcbE3PWoz4lzNWanBa7UmY4VZaNvhe1MxUJNU8UgdNmxUfDa6/t8+usRvdhlEAsC1/aretlkqXKVUoVfbeeoU57XjHiKRgVt/faaH/LuVw94/Y1L/NVXu3zuvjr3PNnkYrvOQHgMPAfHVThC2BZCKXFFPgXBoBAVaThqH65D5sVnqyv3OmPkqgZPs8eJsY3PKZn+Jk8eZZRgUtAJaZLyX/9kpXHJZc7/7EUnrgAGf2OAL7c1q1H/H6WrX5qcqV0ALUni1LYsacviBchNPqJBjLG7KPawzEE+8iGA1fHr1ASOBJQVYOcNFEradrhcjnhOTBDEDMOUA2fg+FnFx784we0Pt7i40gA3wGm51JWk6RqajqbmGmouBK4Fd+DamYS2zFRWDpF93WQg1wXIPde2px05q3nqmA+umy3zppKiFyMoqAZhaZrXTNtxzlfvCrlya4/9Z+oMAkE9EfixIVRk1p7O2Dt3U3ILstQqhc+uc8tWZdMHXIaRS60W8oNvCnnrLavc8UiPP/9SneNnA/afqROt+iS+w9BxkMpO9VWAk93nTF5IF8rgf82t6qZQZe9MhkABbvs1W2hXiHbyFkQNJslqP1JIDJ3TSzz59COcnmk8H0c/N8AXV1ZEFEc//bt/dGBy93zAS/ZE3LA3wnMFgSPQkSKKnAzMFaBnwK/KkJLVLXhHwV255EcYoTJOGZvUsJJEZ7s8pPi+naSapCnnl+CLX3E4crrG3Q/WOLNS48jZBvg+qu4QOIqGY2g42roIrh2cH7h2XJsFcX7I7FAZwMk0dwZuN8V3LXvbCyvi2ALsO17HlaP2YCFRKOvBC0chd1J01teYuFy5Y8BlG/o8fTShn7g0Y0HogJfYmYCqAnApBULKESYvmbJSxqrz+nPbRxmnLqHr0apFfP8bQl5xTYczKx3uesjj6CmfOx6tc3YpIB24aOkQewohpV0psq58SZbxhEK2rAfykUCTapY6d1tydq6AWmegJuuzjawhLpwUqVJuuirkJZeFvPqKL8++5rU/98//z+8/8n7h7V43fHtOgP/ahz9PHCd88q86oOfYtTni6l0hr7phyJW7EjZNaS7dOcBBkEYSjSzckyrgCymiy36/nMVzth59Z6YSsZesXUgRleL6KXFqOHpK8NRRxRcfrPP0MY9nj9XohD5h5IProVouvhLUFdQdTa3iA/tOXqeRl83aunA/kyWep/A8mV0AptTebmozi67V+YEXY3TEhWVJaHwcR+JJg1Ox2cYIvAB5akb7HaPEReAwNx0h1ZBe7NJ3hHU64rJgzFF6JANZ7mcE5MOOKFfTvLUsH4zkpqoYP9EPPeanIrZvjHnxJSGDaMA/Ptbm6eMeX3wg4KljAUdPBsSJAl9hpAIhSWUlG1QkKdbRKiPiPPeB83td3pNbLbkU0RBrHKHZvTNmy3TM5bsibr0h5OpdMTvnNY5IG+HKl98TCuf9fyMG/4+/82kuLnfU5x98VgxiQZzUeOKIz1NHatzxYMyEm7J9a8zVeyPecFPIa66LwGhcB2oNg9HZH60FSWwBnweSNpjMQS1GToYQ9o8X0taNIDRCGuLI0B9aRj9+WvJnd/r0Y8XjzwYcPuWz2PMIUw8cD5SLaik8KagpqCtDoLDjzFRWeKQsa3uusEmPKrhdiZfJEt+zrqh1TWzK3HU0nptkGdGYWhBxcSXli/c3aXd9piYETubF50Vf4rmYTVcCQi0JQ8XsjOKNtwy54+EBJ9sNBq60MsUBNzG4ce5ZZx67TK1dSHXWiSx+hzZO5XdYoHupInUUiWvHPsSxa61UN6bhxbzi6oSXXBHytlcNOXhK8sQ+l0Gk+OgX6xw774KQ9AcOaaTy8k2MkwN8zDKqpm9HAA4YjUhtJtxgvcFawybkhNG85vqQN9w45Kq9MTu2pEx4htkmYBRJ4pGkGpKHhdu8WcWrf5y4k9//zTK4YG669YHeSvfaGAF+AEajTcpC32NBa44tp9z/dMonvpQwN51gtOH6PRHvft3QljumhrkJzXVXRzSCbMUxosiBiXV+Zz6cp90XPPGkw1JHUgskD+5z+exXA4axYhgrzp330MIhNi5auOA4CN/BkRJPCQJpCDJg+8rgK2NrwJ3M83VK5vbyvswC3Crr0RQFe3uuxvPyAq20YG/Pi1Eq4iuPKT799SbKc6zdNqK/n5vBcy88TXPHQzEcurz1pQM+87UOH71rgl4S0Mh0uJvr8DhPypiiW0gIWQDM/ipZ0foVgOtstINjmdx1FInj4CSpBbpKUcoO0p8KEl66N+GWvTFGhLzz1X2GsR3n9tdf9Xlon0fNFyx2FE887dHpy0wlCZ5TlBc7T9jWwOuui5idTG3TQ6p59+uGXHdZjNEwN6WZnjQoFGA7+YcDa3JoJJDiOqvXoqY+YIxYd/OfNQA/t9hlfqbR+je/8Zm9MTWFY8jGotqlQ1pdpHVCaDQXOpoLq1Y7HTyp+exXrH4yqWFiSnPztRHNmq3/XTc9Wb3UM9dhtad4+CmPTlshHWlnohjHMpNwsHOBHZAOUkpcKSyYpcGXGk9aIHgKPFXO6LMgF2XDg2MbAfLG4yq4LcNnZbVuzuBp5UjwnRhjIs4sekRhgD8h8bK0t8qq8kaymIKSvCrWadGdrhVR7DLVVGybjfDEkEHiM0gENccOyslrSPKElpLV8lZZ/C77O/K4SJfZU62z5pNSGiVJmuUNVDaXPSFOUlRscwmOSpEyYeuszlYMzRXbh0RmgHQ07bbg4accVvsSVSiW0aB6hNCNDSYbgeEl18ZMTGlMYlf2mgJly+fQ2kUngkgrUq0Kl66I87QhTHwVeOne1uYfbJn0rR2hpp4f4GfPL7KwuPL+Z/Yde/VwMGDSVwyzmXXaOJg8qpWZVsqfo0mMpp0vQUrTWTWc+0qj8ieuB/Cqfss+HCHQ+ZYLZDWnQpVBjpSZlZWDOks7S7KNW3PfuHLvZJ30imzrPQpw27YuhZeB23MoSkwtg2cs7mi8LDvqujG+H3NqUfPHdzTA8XClKAPMQp6INQxe9YfzIaEWbHawThS7vPeNA/7qngHPXmjSS13qid2U1lYBmrITR+U5gWqwl5cu5lJIVgq88kMXtTCOo3BTOy/FzYCuZJk0s3Xj2WORbTUjUxxhECZltq75By/XINJMZgIi3z9jrUNWwkGAdkhj+7oxVtLGxei90qEz2QWZx3fl+UqIxdFXexMn3m9M8pPfkME//hd3IqXwVs6fYcY3xMbgawi1INIQmdwlIQN7NUjII+HssTKk7ki1wjp/b85uOcBHgxchZdGCpgS4wqaVfWGrBV1pnzuSrKYi6x7PC4kcKnNQyHZmK7vqS4DLQrb4nila2jxPVwbnJLgZe3tOjJQRJ84LFjoBwnHwJSPyRFb/rMrHXZUOI8DLnI4ocZlpheyYH7D/fMggdRim4KcCNzW4SabDEwpnqUyhq5FOhTy2szauGanTt9JI46SaVEmUk29frrJitRSpdLZS6NKazUAu8t+NnZIlpClcrxzouQNWQqBsgaMaj5nRVcdQzaXILHGYz2YpJ2xFsaQzXKY7/IK3Xr5nDcBPnjxhAaUHNH3DIDGINBt1LCDO2DwB0gzoGlUpmayCOM/iPI80EcIuq0UvoEBSpojzMcuuMLhibPxy9rh4LSP7shSUosHWU8KCfQTc0t57OdDz4DMDd9794+hCoriO1aeeF5MQ87mv1biwUMOdUHjVGo6qg8KYIq2mrqsFaVnSZxjaCbZveVmPrz05pJME9B2HWqKJsnS6kmVBVF5wJoSm7BzKA01R2JLWOsxmqhiKjitHCxIlcFKZ7WJna3mSDOhlMk0XCTa7YdhobkLIKrgzm7fYK+Y5Pv9KoR2MAnvdhKEu2TtOlJ3SG2ra/TOspxBGAH7vvXfTbNRf/sm/+tKNFy8u4iqbXTKZw6GEwDXadu3kNheVqrD8hPKNN14pBEmeLBB2026RJRIcKKw2laWM7XyTUuOqHNj5QM9MnlSBXcxBUdh+xPUAngecue52clliMr09WkvuuTGeG3G+rXn0cA0cz46AlqZIzxcMziiL289UVHzgal+qLDzxOHa5/tKQmckB7ZU6/URRV+Am9m9R2fAkFVcBjgV58YvkWKWmyPomLRNqpUm1wNWCVElSpUmVIMlAXi1ey8shZA7yCqjzkgmBzkBOUZBX8HWR+awUY4zUr4gK2EXlfa8FeR475JKu25cM9MSN89tf9vKv3PWa+179mtesD/Dp5oDAT/6B6yXXLXdjEu0UHTtu1i1vM1GVnjsqQVOFrDXrqJHMPqmaSflVnmfFSnCYgsHHSzidvDYiqwHPSz1tc3HeqWJliSq6V0pg5823lr0zze1Q6O3cErSMXYLbLaoTYwQxt33V52tPN5G+gyeFnb9dVBCWbXRlxd94NjMrcShY3AaaqVYMhi63XDXgO17R5fduaxKlPr1UEqSGMCFbuapVfzqTc3rsgnouJgftyLL7KgN3qiRKacvoUmajJfId73QF4BVgy9EyilKm5It0JQYTa8m8OnKvkCtrAJ5nQ8spWwbba+u5XRZXB9edvjD4B0bH963L4O2V4zjuxBtXzn3q+86uHOJkO6DpypKRpLV2ikxUcZ//8rzKcGT1WTNSrTp3Iwd3DgBZAYWkrHmojjbImdtuQZI/J2NwijasERbPumFcNQpuO05hjLmznk0va29znbzhIKkcMRExf35Xi9T4qCJ7WQ0wy77G3NkY0eCMtetpaadDFczkIHB592v6/MnnQlZ1zCANGKQCN6Fg8WIsdVZ0Zu3C8fVTUlqTogJyQepkoxxUBnLHoLSVK6kyqNRWMNrssSxKk0uLslrdWZYxF00pBdBLqbIW4KNre1mflAfKoiCE8gIQCGEIvJjt8332n3uGleFl3/dPv+/Ndx86cfqOy3ZsHQX4sXMprWZ46Uc+nez+sy+mSOkURTKqDMpR2XvVxZvLtff6Hsn4TYgKk1fkSbmF92iAVmjxMc2Zg74620MpUWrxrOJuZNhNBmxHidJJKexA23FvG5NNxtxlgOlU2Nt3Ix49LDl0NsAoFyUlntQ443UaFQE+7qLkR97FUtbSi4rGdNm9OebKS3p8/WCNWHkMEkEgwU0NTiIy+ZbvoJHpcKSVCyO/UlRYXFSkUTnKI58J6SidgTtrZ1OmAu68FshkZQI5k1OsHqICbkQ+MWt99l7vVi28q5ZRj3R45QQoNb4Hr7/uDO7Uyd0Nt3epP9W9Yw2DHz/TZqIZceisJIoazLXygiErA9a8gezBqAH4fG+//I5quaUYB3oF3Kqo+S5tt1KyCNs9L0pw2yBTFN3iTgFuOQLw6vAf221PAewiW1kwd4rn2MSO7QqKMcT8xV11lpZqCN+xvnv1IhyvQSnJacQizKcJVOu4C29aK+LYYXZa8q7Xdnn0cIswDegrj1pqtXhezqokGbjztUJnnng1Gqpkk/PfWXRgVXoiNVnrYb4imeKxBbjM/k5dtM3lXf5CyLI5YpzBx5pWynTf+tbxelWm4366lHZK1jD0CNwWrZrGxIsI3S++rwD47/zBZ1BScmGhzdYJu/+7GteQovKWRgKENdBf91b9GWK9+yqgqyw+Ml6sZGxZZXAlKiyeyxWJckYB7jnZACA33zowy3A6BrdIxevscTpyOMp27jx7Aj5xZ5NQeiipsuzl6IU4nsFcsyzn9zmLV9wUnTF4kjr4qcO73jDkD2/v8+TRGrFy6UuJl+rMPRLI1FTOk7HtZaK6pursd43uW1Rl8lSDU1iIdrS1ykoCVGrKYZ3FXBZRXNDJmB4XVFhclEFnZcBuRZc//21En4/FcPm8nSRVhJGiEx7DufAxjElHAX7k6Bku2bW5/i9/4QO7VpcWaPn5SRoF4XqNeN8gN1n5g8Yfr9Xezy1RRAGc8XHIssLYeZCZT21ynHyT10x7qzFw5+l7N29M1nZmSNEilvd0JtkRo9yIQ2ccupEHysnkiRkrjx2/cEdPxuhAozEvPOvGKRMZDg1XsHfLkCcPRaTaZ6A9gtTWbDuZBlfCZFvGiIp7ocmDzJLJqwkUm7ZwisGm9rV8YKqjyTqIDFKXEwLy6Vpp3t1fGABlcFkEnmOfd46aEcn2HNLlG2FLQHFBGWOrHVv+/K6rb/npeq/zz/qN1hYL8BOnzrG0vPqG7Vtmf/bBR56i5kvKsLEC1uegIfM8b2C0G3402LRvcBQIJbDLPkZVYUU1MlQzBzlljbSqgLp4nCV5FJkXbsFtAVwOBXKr8qTK3irr6/Qilrua//GXTZYGAcJ3rTyRZmRVKQfnfAPRVtQciWznlSqDW0clSRxadYefekeXLz/aYin0iKTDQEq8rIeyHPmQMXi1nl5o8jJag87ArTHIMWdFZAxuiiA9B7uSImNwK4nSwkWhkCmlDi/bCUuZkgeepVU4Tpp/G4Dnut6ShYPWCdP+hp9durD/viQe/BVkDP7UM88S+D6nTp7EEQmO45F+s1Hj892qgK4+H2O3UoOLEuRyXKKMDqYpgC0FUpXjx1QF1I6UOJkkcQqA55pbF0Gl6+gC3K6T11+MsrerYjwv4uN3uTxzpAbSRUqJn5fGVqzNYo/47I98zmpCSjYvu8tLkCdaZps8uVy9u893vqLDH94eoB2fgfTwpSiSPkoK4kpAN87kosrkVVeiUhOjFShjVwVthAV3PiVMQ1rMTxElwCv3Ftwiy2iW8qRwVirExgjgx2D9zUSiAKasmjRGMAwTzp09yzD0SVO7MYQD0Kh5BIFHLXBwHesdSz2qtatX1Tfz+4sO8hEdmhfmmzUDZUY84yKwFCWbFwz5jQAuS4AXiZ4c4MbOyc6kiKtKt8StDAcqNbdlb9exU6tW2pq//kqTxbYPQeaeiEow9hwSBSFGz1klwbvGtqtOJUhzN8VhqqX4h6/u85mvDVnq+UTKYZDKzJ4UmXsjymZsOZ5Yseydv6QLNi97I53cWVHZ42zstZZ29HV+3qsgF1JUuu/zIZ5mRD6INb2chjVj4bIpDeMAf67u/fK5KNyoJJGk2kXjl+MmHnniIBvmpnd+6SsP/vS+w+dwlFOAaL3Skecplyoem3XcgxHnBDHC3tUxYWskSp44GQH26OzvaoeLHe7OKLjznQ1y5lYV5l7D4Pm4iXLkhKNs5vLYccHBEwEaHyGdojm3rB6sxg+i4mqUf3y1FqUAOWMzZHTpqGhtg02Mw+U7InZvGrK0v4ZJPcviqZUpTsXFKdmzWuiV1wnJ0tI1GZub0ifXspxTUo1tlLYXjZZk2jv/XEoyKsCtRTZLJdfkYkyqiDE8mOKJqFyWzyWLq7mVqn0olcLEp5md2v3Tm3e+4vH20oHjDiYlCofzoN+4sLDERNMv2Pdvq1DGnYPxWRo5oKup7JHXKr2MpTMhKsFmCWjL4GSjgKs+ePXItrRWVXBXQJ7tV+9mpaE5e6vsuePEKBXzua83ObRYA6+UJ27Fuhy5YFk7LmL8NjrmrJKSru5ulpfRRg6XzEa85ZY+Dz1bB+2SpFaLu2mW3U1HpVLJnFVLLgO5MSOzaorHMnsss1VF5oc992m2YkiRsbrOV1hTEFOZ8Kk+Jkv+iIpMzWWLKPHyPJp8zfkbeyCEotddJk54YziM5+PYHHfywMh37RQnR2W//PkA/nw6pfIGc+Zao7vHQJ0/Hw/QckCLdYBdsLkSlSbcCriz+YTlth2sBbZTDggqRrw5OgN5YuWJiqnVI75+QPFXX2kwGHpQd3CkwBWj0mT8/Y+vXOudxhH9PWYZVn3xOHGYaDq87dYht3+tz4MHPEzDZZD6eILiQlPF7y91cAnuEuTVLads8JldYMqyeSqtHtcV1s6Dep0Fl1KLiv4WlUB3NIYqdXcZF9jXRAH0cbb+GwG8gskkcRiGkiTbg9NJk4QkjsGk2aB0UeiX9TBtquvD87yZEbZeA/BxiTI60bQMLkUBmmJenqrs3qBEVptSgrsEeV42a3CccoSyk23C5KhRoLsFW9tDKRtgel5EHKXcfn+dZ0/WwXURUmWgyuaGVIJLIUc/1HHXKD+ZBWuTTWatZDJ1USIqC088TR2iyOGK7QlvelmPJ47XCBOPVLoMtMJLGXsvuRfOGIPbezP2XlD5xabRSqDy+g8pMAqkKfV4saJKkLoyy1CXq4YcB/h4XMIY8J8n01kF/3qFqdXUfhJLokQTpwlxkuDcdtvncRzFymqHes1FiKzSLWfw5wH7+LsY0eLZu6p+sGs0N+uBOmfsaoBZ7kBQSpOKVVgwdg7wcnJqIVEy5raMbQqmdor78rGbBZeOivG9iKdPCO74Wp3+wIOGixR55SAVe3CdLGbl76xSQV6LYtFVOd9j5bPlXBNVdPs0mxFvemnIZ+4Z8sRRHxyPoZZ4mRZX2m6wW5UGIqWQB9YeE+UHq0onx1GU0kVaNs9XlTzI18aCXeoy0SZ01U3JPnNdMvt4jmMNwMdAv4Y419HhVWiWbpQgSV2eefoJDh8+gtYpTqe7gpKCMIxwnTLT9VxXy/Pd1iZzqvfjiaN1WFxWwF7V3AXIrd6uZjOVyioMs4pC286VPXaq88HHwJ0dbj6FNivwd1RiDyfGdWMSk3LbfTXufboGgQPSNjS7lRLekdLY6lF9ss5tZKY2eTkrRTNyavK5JiXQw6HLq67u85aX93nmRECSuBihGAgHN6V4TyItWbx8C+szeXWIvVI5c1s2t88FUotChxd+f87o+WqbMXgxtHMM3CMB5wjIy8DzOUG+PsZHy0Wy87Wy0sMQAQanN7B1C3FsJwhJOxS6+JffLMZF5X/jkqT4Q7InsgrwSltXdWeBEWCPSJVqmr5yqDFwq8rhlJug5oB2K6DOnRPrmNh7pWI8N+bx45JP3NUEPJAuQqiii0hlG6nKMXbK/57848nrCUfWvkqBWsncFQ1uBDq1rXt2Cq0q0vfGOLz7NQO+eP+Qh4/YSQKxVvRTkRV8ZaBLM9auKO6q8ga7eqAYAXr+VZWBXstsP588KM61t8zYXNj74jPUlYGdsnLxjyTATAUjonw8hupvBuDFXfazGzWbjTbG4HT7tolUpzaVW445EKM/6BuBewzoRWQ8osErU1bHdHcpVUSWLCitpxzgxZy8Ksiz1rRysym7s0M5AL8E9whrV+7zxtpcqiiV4LoJcZpw94M1njpcA9cFaYNLT5jK5NhqYCXWBFZinbNU2nQ50EXF1RidpZ7PGNQqL/J3CCOXq3YPedXNlsUHqWXxUHgMNTipKAO/NLcLM385rQpMQ7WoqWpdKglGGaQRKIPNfhqBMAIjQBpRSpVKUFmyd/a56uqFX5nrPp4HKTBi/mYArzzJJW490ASBRmuDM9FUyIzBw6G12qrLxagOf24XvFhWRHlpFLXQIx+6KO2rMcdkdI+YsfoTQbH3TrF7cd58O9LwUG5dotQYuCtD8Qv3RKUopwLwTKJ4Tsyhc4KP3N4kjF2ou5k8oWhNU9VdgqvOycgS9hyfkhkFelWmVDcH0GY9Le7Q8CU/8KY+t93b4MAZe/GlWtFPla0yTLPkT2aJiVSUbkVlJTE50CsAl6bU4jLT6FIbjLSfkZHCAlxXYqWcyXU1llp/ZavKN/vYjJBgFdnfLIMXZKoN3YEiTByM1qj/+YHf2FgP3P90+vSpy4XIi2sysMkKm+YB35qDETmhRmRFZa/K53pd5uOAs/vs9xfAHTvykQlVj7u4d0rdbR2UUXBX9+opi6my3R+cuGhmcJ2IVEb84Wfr/Mkdk+D7oAKUcqgrQ02ZbBwFRYOzW2mNKzOp1USUpJwMy0iAWsYSpe2YX7RCkjX+lr2QShqE0WybjzizKHnkKY9E2MkDWiiEsKW068U9o2aAqPYhlM9NRdRkYK9iqXB+YEzDZ/O/89ee66h8XRug2nNJmQ+g8nhNj6YWo5Zqdp9oQRjCjt3Xze+96mVfcg4dOTG5vNJ+c5LG+J6T/eBRF+W53JTqeSrtnsrVlL9WeSyrV/LY82Kpq7L2SB24GdHesgBDKUlURXurYqeHykZUyoxJkrxSMGfvGNeJOXhW8rEv17HzVyx7F537+e8XjIwXlpW/uxpoiuoTA6wHDl2tDSnnCppsoGmazwRJFanKtHjq8D2v7fPpu+vsO+2CjDBCMkxdHLJ6kfxcZ3PdSfPETw7VinQy9rnBzsbK35vMwCgNSGNlS667pbG/w+jMH9dZgDqyOo+y+XiJhmbstVFxsL6J8jwroNERUdh58+rS6UkHHSNEmu2Iq4qyyap19Y2CzRy8lbsxxqhG02OypKpj5ejjKsBtF0muvyuPcyDn1W65Bq+A205k1dm9tQOV0qjc71YJSiaoTJ6kKuGz9zXYd6jU3lJI630XHTSs+wEKxp+LNR+SGXk82oA84olXJlI5WtjaFFmm8KPY4YpLQ9768h5HPuYTpQqEQyocBkLgpJl9Rx7o5o6KoMrHRQicocUYgTJlbYiR9j2qKgsLU6b4BWhpga9zmVLxwatgr64o42AfJcb1wV09hyOD9SuPk8TQ7Se4fojTrCvi0KFZsxNEk2L/8LV+ePWDWRvtji5/o3bQ+B+4NhGwfnPDKGvnz3PWzsGeM3cBdFVl8lJ3qzyIzLc4kRpHlkPzlUpx3Zij5xS//akWQ+mST9Aqu+azFaRaA135O9bUKTzXB1Qlj4xQ8qKhNctwlrqv1qek2iFJXfw04Sff3uMv765z5KwDKgbtEAuXgRCotHQ0ZDXYHAN57s0bwMkvuOw1aWx63mAy1s49cT3C5ib7PVoKhClXj7VmwlrmroJ9/ZzK6LkbB3mxW7KGYajpDzR+YHDcrJu8XrPbuolEkCT2B+QtVdUfupa6KywlqlfgaCKneJxVua3HgFVgizHWzhMpo+DWpUSRowzujPjbGZhH/O7KIS2Lu05EJ9L83mdanLnoY8sqXYSQmTwxI7538bj6t4+w1Gii6zmZqPig8saDao9mnsKXxVE0Q0hFmjhsmQv50e/s8qsf8WjHNiAwRhJqZW3DNH8fBlJBqbBLkJf/t19R2YeezW8q72Xp+EhpSgY3lc8uswxNweDPHXDmuNE5kKsYeg6AFwSR3ecdSUliiBNNf5gSxpokNTj1wJDUNRN1TZiYorItX7py6l9DTBUKXxsVjwG8Au5xMIwzdw7skrXLKa0Fe2cF9yWgK0zu6IzRdSFNrBzRFamSM3ZS3DsqxvFjPnmbzwf/okWoXStPhCrkSdFUPGaJjejuQpKNfETPyeI5rkqrsAr6PGVvt+7Is5tFCl/brcADJ+HH39nj4AmPD3/WanFQpEIy1DbglCkFg5cFWPmHVabuq3alBXUpWYzJ2FyUssCSjrH24Ujix8qYoi49w4OuktwIZgTryZUxqK0FeQ7w1JAkmjDUdPsp/YFmMNQ4uzZ36Da7hKshpy54DIblh5Kne4vdzkZYu3xevMFxQIvRN/ucrWmysoyOSBRTCTKzLbqrWwaqquugK1IlB3OFyWVZHVjo7uLezhpcXoG//HKdlTAHtwW4K632dsSoPBlZdXK77DnO0Qhjm9GVMZeAI1V9+e50I9sxVurEpURphdYOSeow4aW8/XV9Pn1fnaWuAhmDVsRYPT5eXTiKl+dmcpsHKpNCeX1KHmyajMULQGc+uTZrP3OZl8oau5poWR2gb9bF0nMx+AjQy3CTONGcWdTUzxs6GpxBskwvWmV1MKA7bBEm9oqg+EXr9c+t/wbyjFXxRuVasK8JyKptT6LU2SVwzIj2Lq20tUFlPpymBHc6EmDmQWa+z41TYW+3nnDbVwIefKqGrmhv29SQy5PRepOiNWt8FROMrmjPSeIZexYuQClRxpshzIglJlGm9MWT1MXRCS+5OuI7burzx5/zQEUgJEYIQu2ghLBbkOSBpihBPS5XcmvQGGvX5syuZCmjjKwUikk742WEuY294E0FAzonsZytzXOT4ZpAs4K7cY0OlmBcV9GoGWrNBL/ex613cf74SxNcXEg4ss/h0vmYelA2POSZxZHagJFAcgzQYzJlHNjFRSBNKVXGGFuIMfYWo8AuXZTsuTI42YgxKTPHRJpMV1ckSe6YyIpEkdY98d2YIyclH7mtyfmuZ/e7lnbQuxKUOzaMxQtrdHfVd16Hvdcyz5jlVQH2yFaL+RaMI133dv8ce2+3P9nYSPnB7+hx31M+Ry5IEDGg0EiGQlY2kbJAy0EtRq7CirGQ/7/IZmafQ5XNhX2cgzmXLflKbL+Wz363v19XVxJh7cyCKIvX7fsZBXv277L3V57zLG/iwoYpxY1XJ1xzdZeJSRcn7DcIu0P6HcVgMmvdciVSrQ0cxwG9Hpjzf1MFNILKEjmqu/OlqzjxRX11hblVDvgxkBczsscfp4X2zlncyccBqwQlU5zMFvS8mDDV/M7HW9z7aM32tknHam8pbdeOKOevFO81X1nGz9EYk1dxXsX6Wv+2dC3KPd7HEhqFJrftZjp3VFJNIh1U4vCqF0f82Ls7/OLveISJtBkoLUkyV0VqUXlvhlyKlm/MtqRReX/2uajEBll3vQEjTRZgiuICKILOAoBmzGmpniODRqxlcEFxAZQqodJnmjG6xBQ1Sp4LtUAwWa/R9Cepe1M4l24QTAjoXZS4TrlYUbHyiv6+MbBXWXwc5GUAYdYUv5csWB3ssw57V/afl+vJE2mKbm+7bbauSJTK2N9cd2czrovgUia4XsJdD7t8+t46YeRCzSm0d8HeRWDLyLGet19dVu2xftPxSBVcBuxSGpTFV0blyYvRWvFUS6S2UiUHepI41OoJb3/VgDvvHfDFh5W1DZEgJLFwGOSraPYuSxBlbC1zj8VU3huZRZiDOnuf0g6rF6J8bjJpkgM9/3yNEBlzV4LdMQnLczxen1Qt81sdb68cYyCK4fRFH3+iSavbwqkFgnpN0qorfF/hODJr4h2z7cbBnb/5dYBfXn1V9l6fxUVVb1e9ZVlxLHL9W+ynbp8X2ruYhFoC21FjQFcluJ0M3J4bs9oz3HZfnQPnAitNhC2JFbn2FlQmSJk14JaV81A6KNUl//lvJktV55bc6FHuLbp2OFBZoyKlQuoUqR3i0GHPfMx3vKLHg/s82lGWftVWj0co8n0gJJk3PlJGW645BpvcKS5IacM5lbW0lWyeS5Us4SOyGvIC6ILqCImCxU3J8EVcUJ2lsgZTlPYjZZZVaLu3ZpLCMBJEsaQ7UChP4uSNuoGvCFxVNpqq8cqw0cBwPfbO9dwafUrpkOTsnhcpjbC3yIPKEtgluHMfvAwuZTGY3Yww9khAmSdyqi6KtJ3ympQ/+lyND36qiRGO9b1H2JtSe8t13vfYcjuylFa1yXOw90jCgjFQF0y+tpWt3MpDo1OJltYXV1ITpy5SaX78bX0On3X54Kcd4qQEuUYQConS+SCJDNzV1rYC1JmuwC4CBfxFbidTAl1YIMv8n4lcqpQjJnKr0BTFaaPgrl4E5F+vuCtS2rdXyh6R7atZXpu2y14QJ9m0rpovqAeSRqBwPcs+4020VQZmDLTjy4lc5+ujXxsbM1aVKhWPO2f2ciZe5n2POSYyB7cakydje9arbO8Zq8FjXC/m8HnJp+9u0Ou5UFNr2bsym7HallaMtKte5GOPRwKkb8jgFdBXJEt1bonWeb1HBeiy3LNGS6vFpXSI45RmI+Ftt/a5/as1Dp/Lkgp2QDWpEAyy5L0QIHQGblOC3RSgztwSsuRPseDkTkqeurfsrTKwlvJkFOg5sGWFEEfAnT83eSBcvmZSM6IIcp/deuHG7geaQJJqen2NF2ic2WkfoV0aNZEPQHoel6ACXEblR/V5Poeuyu4y11xinAHNiDwRxey70j0pwJ0zt6gOZs+dEz2y3YasyBIpM8ckY3LHSQhjzZ0PNPjyYzU7HFy6FuBj7J0XeSkhGAmGqQZRY0xe0ZHfzK1g8yJ1P5rEMLKUKSbbisTqbl3KFC1JhUSlEi1s+cXrrot43UsGnPq8S6itDs8qoUhwGAqQurJtlRCFgZ2nflSxDOWOSlYrLiiAb4QoyT4DphFZ4DkC9DKjqoukXwnuPHAcnYhVztLJn5v8wsj0d+HKaJucHEYpw1gQJQpn+7Ytq3E0vD3w3e9KtWY8hTquqddoIlmCnpEPfpTBR/V3DmYqy1cO+gpjF8DOgV6WjY46J6P6WxXp97TyOEFK26kjvYR7Hvb4tT+YIDVO6ZxIhRDS7gMkyrT8KINXHZ/12Xs8b/C8yM4ZcI1MMSNyRZNPvcqKsUTpqBSaXFpvXGiHJNF4XsrP/VCHA6cd7nlIoj2RQdb+AbFWDKgKKlORJeto8sILz1bb/P1mAWWuw0V2AehCsoqiTqUgBzP2WgX8JdAZA/tYAFrx0fMLwACu41KvN2+fn9+yqi67dHtv4eLiESnFjwniolN9PJM4WtmXSZjxGpFqWatav2BKyUqwqEpNXVYGVi3ASiKnElAWBVXPAe6qVHFGEjq21/L0suDXPjLBfY817LwMadvRkC6OFNQk+JJskyuztnZ75MgC8mJIzugworzmXaqxhumKri+fi8pFb9Y57xkZVOYAinGpV/2agdmZBN8xPPikx+qgojuzMDOfIl5WHFrEiBHgfzNXa+VCGJNf1brFEd+fisSprmSZo0Tl51Sl0qi1arcktKualSe1IKC9uvyDhw4dOOBMNlKEECRJynBYfmPxdkX5tkf9y9I5gFGmpspy+Ymn+sGMSpPcVqoOU68yuFxHc+c7DKx7qGpgmZXCZo9TL+Ujn5ngr77SwAQKhLLoFA5CypF+y7K/8Xk65ovVrFhj1/vM13jgZux5FRD28WjJ8niHj87mB5qMuY3RZY2KkEitSIWDHKS8/dUDnj3q8v4POUR+MvIhGu0SIoolHiFsW1ueqSwAazLcZdnNbLZIZgDZYDPXxZlssfZgZUHIPlszJk2EAJmSSVwx4qQU57ZyEZe4LH1ysNWNSWJApAzjxPZkbpsfoKSg2085f9GO4NV5vEHlXFTAnjME1TdRXX7G5El1a4s19mAG4ALwOagrUqUsrtKZ7z0GcKUzAOcgr4I7RVZqT774kM8ffL7BMM2m4IvcGsyylsKMaO91U/Nrgum1VtYaqfIc7Gey4C5fYNdkNDFrSmiNrGQ2ZcVZEcoWZsmsOEtqUu3gu5ofekuP+5/w+OJj1i7MvXGkQBuHUNsurqKIZNw6zJBaMK0Qdm89MQbyvOmhornz78nHD4qRc5l9D9XAMZcgYg2BmuoKk5Fpfv1pA1GsaQ9StLC7XDirXQueYWhrahn/wNZjcNYHdZ6ZkuNfrzD3WudkdCMjObJE580FugT6iA7Xox74OHvLtAwwnZh+CL/y+xMcPeNjnHK35BHtnUukEWCPAZp1wFxAuDhho0vgOiAf2cUA1izXZfFVVY+vrU3RMqs4lFUWV4hUI4SDjDSXbIn5dz/c5v6f8ekOsz9Gy+J9pTgMc3mQpxx1CXIjAZ2B2lA4LCoLKI2EfNtUI3IdbipJntHVr8xo5hgSa0lixDYUI68XZ1OMJtKUFNSCTDMaiXN+ZStCKpKoSxIu4rmjFt4IoKtLQyULJcfZnBK8YgzYo2xenTG9nkTRFR+80peYsXnB3COuSWV33szzdpyYJIXf+mSTx/YH1vOWOXOXzokrRmWJEqPnQVTBPkYE5IGOKIdursfXa5h8zDkpGyAoi5mMyHQmI0yuhWXwIujU0oI8lWiRHWkmVbTm+stjfuq72/y3j08SpRmLQxEVpihCnWvxLNdeAXkhUUQlyynsBr2myuYShC6ZWxZD6ssGiGqWswBz4XFnv24c7BVAiwzhwuTy18Ywvie4ZMc0M9OTdrLV617/JoJanSOHn+Wh+79A4Dl2bxw5lm4f+1DX6qRRSSLWgGPcQRkFtBiTJaX+Ht2fsWTvtNTl1aTOyJEFlkHKlx7w+fAnm7QHrvUAM8+brEnXOidl1rJayqtG3vda/V1IuJGwTBTPxTigx1h7Dd5HgG6oJoBK1s6mwuaSpJoEEtZGTKVCGm3rVRJFK9D8yDv7PPKMz51fV1BPMqYutWeiJUPymKIEucGWxlLYltbzzmJVW9abSxhdsnQuX4pg+DmAnoNUmFGLcJQ4SxyVpGu/kBeDaZ3youuu40XXXkO328MJAocgcKkHkrpvJz+t0dDjS8N6oIZ19mdZR3/nkqS4AMZkSUWSlDKl3GHXAjwd9bultQJlsa+6DSylTJBOwv7jDr/9iRaHlzzbBp/53fZeluxdcYlGQL6ePBmRJmPFQmvVyKhKWeMuVFm8dAuKRgjWS+OPDQnKC7GMLjaVFblUEQYhHWRs2D2d8JPv6nL8vMOhMwLjVAWWAOmSZiBnDOQZZWbAzqSLsOuAytg9DzRzclyjv3OgZ5WII+fSjCUTq2A3o2AvH2c/K2vGSOKUJBWIjLwcz7GjhWuephGkCOWsD+j8b/pGzL0OwEutnT8v5cmoNDFZokePsrmo6G6ls+fjyZwS6EqlSJng+Qnn24Jf+VCLT99Vx7iqTMdn0mQ99i7rvtem5KsfyHpJnSqjlzp8FPAjrD0G9vy1tTUpVR2eA7oagOadP5bBpcgfZ8FnqknQuNK6Ku1Q8rO/rriwKsCv0q3A4BRMXgW50TZwNJkmN9o6KkZn8qVwU0QWZJZMLnPpkuayJcNORZbkF8F4PgVKbFU98up5llj3rzfUhLGxLWypQUolcX3vvJDyjnpzGilSHMeUnrQqq/aqLWNlTUjeI5kdaux7Kh52VWaoCnCrv6O0AktrsKg7qVQMqrFMpcxcE/vY1ppEaD77tRpfeqie1ZrklqDMGDxn73LX4Oq8wapGXFMWW9HiI8wyxtwF+Me1yJhcWTM3hGzfdl0FecnceadPrsdTnSd+Kql9I9FGZa/Zx0niIIzkDTcNeevL+ngigSQBnR8xGGuxJQaGGkItiDXEWpAaSIoh/ZBke2wm2rqL5VaE2awSk71uyn05U5M1Caf59xp7ZP9+7baG5WF/Rvb9aXmfaIjilA2zMygl7wh8/7xSCrlh/jKeffye43EU/4/pmQ04Mi6G56hxsFYziJU9zEfLWDMrT+UFUJV/V3lcgrgqNcrvk3IczOXzUopUXBOVuya23iQRms/cXeP9v9/i9KILnrLMXQksRQbuIms5VtE4EgCNzD4RIwAuGD3/f1WqjGBerAH6erinAuZyX8tSkhSAzydgaVlpjJAYXdao2BS/7fzRqW1xi0PFthnNz/5wh+98dR9XZOA2FaCbBKP1uiBPtAV5YkqgpyOPq2AXa8Cq13xPDmqTdcabtd+fXxwjQK80HKeGwTBl8+Z54ij+H5+7/a7j11y1J9ujJ+ihnJioNqAfJGgcmxJmnKHM2FJhxqRJ5XvG9PdIkFm4Jtn3yHJj0VKaZDJFla6JrEiRHNyyElDmlqDrphxblHz4Uw0OHPGhqQpQ28SO1d65NCn6LBmrTR9n7uohcyCPZ//GmHvkeXlG10v2WNbWYwmf0kWRRQZvNH0vhQW5FKbwxkXO7JndJYS2U6+M9cbj0HD57pgfenuXh57yOL5QWaqKoNPKkEQKhvnFlo1wM7pah1Lq8qJGZUT1lO1r0piKRViugnlju8iD0kxbl3o8+zlVAhHludMaeqFhqZOwuBoxHFY2oZrfcjmOW8NREd3VI/SH2f6KBso9x8ftmufQ3FXQj2huRtLI1b3N5Yjm1qUWF7ryNU1ZOFWRJcVrlr0dlbLcFfzmn7S4+7GgrBLMM5YZuJUk26G4Oga5/FvVOh/CiF24DvDHLfBv9lbtrh+pKqympE2W1tYWUDqbDWhEBfyVTKcUWRGStudZC5UVJamsQEmT9jWvvi7kn723w3/4/UlWBjmws5VGiwzkDkkmeE3uquT3mVg22WOVOyqCoiG50OA5SDOgj/jhjN1XgD2uw0X2P1lhiDQ1pMZhx/bt3PTia+j2+vk1CvXmJlozV9/Z6yz/WqrrREleNLNObUiuldWoXBmx96oOyHgHTlWiVKWI0kUKvgDz82ju0v9ORhI6Q2n4nU81+NAnm3Rj1xZS5cyduSZ2dl/pnIwUVVVO9Hj2coSp1wXzaOr4m0H6eHd9AeT8a1W3pWIXlpKlaiGOT6a1UiVvb8sHeGpT7sHZdODH3tnlx9/epaYT0GkmVVIwcUWuWE0eFnLFHomBOJcoJtPihR4XpRSpHmn2NV1uI16MqzPPrb9HZYuVMznzK2mYmgi4sLD0ay+96fI7d+7YVAI8aG7nD3/v1/oPP9U/dvJig2Eoi38o14BxrKO9Wsq65hj1rssUfNUFKQEvxRigq6yt0uzraQX8JXNLmYCrefaIy5/dWacTZ5MxyYHtFAGmIJMmxWFGtLdaj1XGGKZYIsXa16n8m28G6WW72phlmAeaVe1dXASVpuSq/l7T+VMNPJXV51qhjcJoRRIrmo7he9/Q44rLQmRa1eNVsKclyA1EGmIjCi2eVAPO8WBzPS1tql8XlYuiDEjXBJcVHV5cDFkCKvAEu7f4zNU7x/7Dr/xqf+/uLSXAAW55xXfwyte8g63bLkPrpMK4lfvKODQlq2AdL4zSa0C+3uujIC7rS2T1EGWAKatZyrFUvOOmPHPU5ad+dYqnDvkYV5aypGBwWbEFTTHIZ3ynhvWswfVkykhiR1B5Vtor35RcMaMPR33xcbuw3IJ7ZBPXSt9mMTDIyMIfN5XJWFqrbPybIjUOOlJce2nMB352lat2hxCnJciLI87AnrkrWfAZZUFnbCywE1O6KkkV5PnX1nNUKsFoweBmFNDVn6fXAX6cpFyxdw/vefc7ePt3vbU4n07+YNPGSVyvRnfBYbgS47luAe7RugAzJvKryZ+qJl+rxUcDzNz3ruhvYSrArjopdkh/Fdy5HWjBrekayf/8VIPH9/mkqsLaoqw3gcwWrDYziLXOSVEtKc2Yzh4bCzECdirnoQLe50G4GQN2FeGm2qc58nqV2cdqxo2d2611Nl9d2Mm0OtfjmKwIySCEtHpcG1I0jjBcf0XIP31bj5/7by7dRIALRRGJpszCaEUqBFE+M0UL3Cy3boSpdALZN57HDnmlaZHCp9TYgjLDWepsk1cIFOc2H/FW/hswxtCPNaH2qDWmSemvBbjnKVzPOzw16R3pTvu7ozBESFnUEeSgLYHNyOMS+KPB5Qi4K0VVa17L2LoaaKo8Oyk1UqRZPUqKFClKJCiR4rgpfQ0f/nSDT3ypQZiDWVbZ21bOyTFbcD32HqmPGGdsUQJ7NJkj1pyX9UzCb0DeIzXSBTAqOlxDMcp41BsvAW/BLZEZ4IURiKxGRRhps4PG2MfaILCZzjQ1eMLwrtf12XfC4cOfatKLsScs8xyK+6yBLdWSMO/JLFL1NvjMY5oc9KOOSvlcVIBOJagUWXnhelxRNTW0gTDW+H4T6TaOeL5/WA7j4t8UEqUxsY1zJ+69w/EmPhrU5xAiLeSIW+xApov2sMLPrqbWhf4GAeZ4vclom1khaYQeBXelsEqKnL1TlJPQjeBDf9XgP36oxcUlt6jtLtPx+SHKpI5Ym61cM7OlWinJGNirz8dYe+Rr4vnBnaO6WmhVvDbyVBTNtNUAc8QfzxM/jEqWqrMyqstVRbLIbAScYn5G829/uM0/eVuXpp/YiNCkFT2eSRWTgtFobfW41eWZV24yj7yQJdmGWrk8yd7TSGKoGmSa9XV4UhyCOBUk2RHHmi2bZ5mZan7007fde8dll2xZy+AAcRqgRO1zceJ+p1LOda6TlCl0UdGGQLGvOPnll5PZWIKEvN6kZO2SxfWoNBFVJh/T3RVw5/2VMjD81efqvO/3WpxfzpI5clx3j2YsXZE7Q6VzMuJ5w3N432IEvBWZXQG2+EaE/Q3ZvDq3sCpVYJy5K0MytcmmSgm7jbYogS1M6YkLkbG2ILvP5YpCGGPHLkeGTVMp//ZHOix1JB+9rQlBtnRoM8bk9qaRRNqqGZ2n8kWl0jBbKXPPXBfnXZQNENnot2oV4borXcVVygmq5rnUffn47FTwuV5v9N/J6pNLr3wDS6c/e5/vdR6u1zW+F+N7CZ6bjnSn561jo3p5tDlBCj3G6BnjK2397TxNX9XdRZZyrc9twa3L7hxfc/i0wx/f1uDcgleCW4wdUiIy1s6dEydLTIx36lQboQswFxdu9UnGzmP6+5tUJaMf2HN9veJ9V4e7r+uRU2Y1R12VauBZBpxF6j5n8cw+zB2WJJJsmk157z/os3tbBFHG4gWTV4NQy+QmY+uowuRJhcHLALPC3iOOSJnarzJ5GYha1o6yI0wFw0QwiCHSDhdXooc/+CdfvO/d73jjyHl0xk/s/Pw8CMGgvUAaD4troDgx2VJXtalGi7LGNfhorXfJ4prRQLPipgiNqFiEJXNnh6c5ctbh//rAJHc9EtgGyhGvuypPrOedj4Fw5Fqtvd4wn5HvqYz7fa5KwlyjjFwY498v1ndJ8quiuhfOmpFuuT+eBVW5myKzOnGRBZjrFWUJLHiEllmSSCI0CKERWuYhK6lQoO1nqIeG194Q8ss/tcovfGCSo+c8yxBUGFxXNBz2QksQZSxhbN2IEXaL8ZLJySbUQj6iIpf2Uox4UcXfXIA9syF1diITLfEadbbu2EG6zhbdawA+t/0fIIQTrZ4+z7BzDnCKfRqTVJGkBoS96nNQZx8Pa7OblSpBoSupej0K8iqwC3CnZXBZZC4TlKs5ftHh3//2BJ+4s04kst2oCsYe1d3jgWW1kWGEscckCeuAswBw5XuqduDzEnf1i+vVo5jSFVhTLJ6X0FbkYbVOnBz0I5nNshFCZoSkhQW5KDKhOeDLKDaXLIk2BE7Cu18/INWCX/itCU5czJyVHOSCTLrkCLWDlhNjO3hSwMvLaiuQtUFpBnTsfMH8q5q15zEfnxEb62AOtbA+vLbPr9yyiR977xujKE75wH/4BgB3g40INfkzfnPPlSI98GpplgGXYeQzDD2McS3TCDs00WaE1mdu68CMMXcl2SPGdbeo6u400+iVNLyTcmLB5ef++wSf/GKdSGZbr63L3FnGksrwzBzUsL40oQR7USk4DnZR+t3rHl9SEgAAK6dJREFUypdvJrBc5zaO62pd+Nq0fUYpxhQSRlQdlYzdC/09osOrIJcFFVpwWXCTNZ0nCbhOyve+aYCj4Of/+yQnLnpkc5hHL8J8j28cEPb3x8VFUP4tGjvGWVX7T4V1YISg2FBW5Bd8DnAsew9SQTuGKElwTMzs5AQ3XbPrK9fu3fozF5Z7a86rXPOCM0W4+Ocd160fOHBapn/8RcGF1T6+O0Apnf1NIsf1+nUnY45JFdRlkdRog7AcO4QoPXApE6RKObus+Le/NcEn76wTSacC7nzOXFkGW7C3HO3SWY+9czBX5zACY1JkzP+unLPysRkF/d8A3eMB5rgvXr4o0MX3WvDmckczOkTfjDkpI3MOc22uywSQKSoQy2RQkkicBN71+gH/90+12TQTlzq8kuUsdLnOv26lU5QlhEIjiEeSPVVXJUv0mLXxxvgt0mDSkN0zF/nHbzrFiy7rpRPN4MD7PnRnZ36mueb7HZ7jtv94/6d+6Y+uuPnhZ89f/6HbO7z/Rxe5ZgckqZ1JXVR/wRpJMsLS2dfGkzciD0QrmjtPxcsx5lZKk7iC3/tMk098oU6UbyQpKoVUxf1az7uasRzX3aO6ugToeuMhqv73evq6HNAu/qb4Hs1mrknqVNvWzEhaP7cErbyp7pZsMuNDrGHyUotnBlhWkJX75Gn2g4UdbYtIwSHl3W/qc+CYw699uEUC5Sy3MVfF3vJx+5IYK0kKmyT7v8qG/4AN+rW2FF544oye69znv/nyNv/pR1bZOhcwSL0nv3Jk5acWe9Prnlu53ovB3Pfw5Qdq6RtuvNxcuTFg2J3m7sfm6fbrDIYecaIqwWbxmY4lcHQB7JyxLbDXB7fK/e11wI0juOO+Gh+7o04o16bfR1wTStek3FenAmiqQM/H+a7TtVN9Lf8bK4d9XqH67BvWlMl+M+CufOOITGEsVU8V9IKibhxG5clIGr/ikY8Fn+V9ztrjDC4xWd2K1hJfG97zxj6vf9kAkernZvLi0NlhmTrSEGV1K3Gmqatsbi1PkSuk4tQqaTfebXqG2cBw69UudW8jJ85tQzu3mFuvMOm/+dE3rnt+n5PB3/UPX0F/MPzYieOH9i4uLjQm3FkOn06oBzGea3cJVlLbj2HcLRG60lQ8GlAKMaq7RRZIipEET1bb7WiEA399b8DP/PdJnj3qZw3D6wB7PLCUVdY262Qr17ajrclgVhikkC5jumUkdT8G6m8I7rE05lp5IkoPnGpgOeaJ5wGbGWX66r0eYXGgcE/s7sKCrG480zpCGLRW5fsRlsmv2R3zX/+PNv9awW331skEtf2udZk8/5skKRbv+v/X3peH21GU6b9V1d1nu/fcJXdJbpab9RJiEpbIEgioyCaCozM84zO/R8cZn3FjVHAdnR+jiAsu44i4oM7gArO4wG8QdBwWcViURQggCNmTm5D95iZ3P+d0d9Xvj1q6qrvvTQIJAcd6nvOc09XVfba3v36/9/vqK+Ub+Q4JUdadKH/CEi2YquNf8AQ6WzjqI+14Yh1FR0fnWF/Pyh95fnHS35hOtmP2nFni8Sefue6k5X372pooPOZjaNRDvcEQxdJ62x/NkQXTwRvCTW63w7mtMg+6UA81VagkuG+7v4SPfb2KZ7cocGcilTY1kbnGPkHKuVT8GylQWwDOrYGXoie5fDwH2GlrPMk/Pnm/SG0qnm1vp/m6E7IHMtzb6OI2H7e5t9HMaU6qrZ4NRMEbBMf3hvjCe4dx8VnjMrRorHeITJIWj4xFF2qmTkNZ78jRx+FycP1TEukb+UxW2auWgTCk2Lufor2zb9+ObWuum9YxY9KfelILDgDLly3B6OgItvc/g2JhApQiWUvc/JfZ3JI0uKViIsPwLj2J1T6LmqicE3jAbQ+U8PffqOL3m2xwp+lJYtGJ4t2SmmSL9+hZOE4BzVywu9TEYDYlIeYkD1oHTLKyQw6ghUh3JQoJAIeGmGL5ZpxtzRNNXK5EnLbmMsBD1Mx7m5tDUGnZVZ4Kt7i5rNTGkjLLjRhL54X43N8OQwjg544lBwy51w8u1H8EQC2DFRprnyxpKMsmC8SAmb2k5VP933AOjNciRLwF3TMWoLm5ecqfl061s7Ozu14ps3ef8IqesbbmCKVALtVnAjQpamKSpjLg5koZibPgJgm4NVWBR/Bfvynh41+r4vebginArS25vL0muSZWEpWx2iLDq9OUxHEgU2A3IDfP7sQHfQWkxxwCvg2I7W0DbIeU6yCKu5alPX8TIs234Sgo9rZt1YWTp0KtIvvWArSCJam2dYplc0N84X3DeN2Z49KKc57Dw/N4ubz4Qi5VFp1qq+d2csXLk5RgpbTEQD0E9g9HYIWusVqDvLuza3p9qt93SgteYEN8/tw5v+1o5cNPPfJMJY5V4hWzk6NsHTubU6IjksSx7Ba4aWK5CeMQjOC/HyriI1+t4tnNAVBIzackafVEanvUArctB2bzvEUO7xZZy61UEfcCIC6FsYAOpEoZJLszOE+xEGsHMeY6nUrrOp0WH7cvBm6dQs3jJMbKJ9mF2pkTVALaVLFSVpyreWaJJU++Skysz94QeMXcEF96/zCEILjrwSLig5pN3VxLboofC/W7C4FIqCXBOUHEBcIYIHWBRuzhjFVnDU/v6f3t5m37+dTvMkVrbu1AsdwyABFe2t2zPGSkgcC3QK5yU+wJDU5k0oDbdSi1muKAm0pw3/NoAR/8pyqe7Vf5JWQyWqIfEmA6SzAT1DHqzuROZG56rAF5ts9gNzXOAfVhNpF6mH6rMxPghKV564C7sdr2PtdqC9ty56grzgQJLstNJHydmelvkpMDS3pDfOUDQ3j1KTWw52nJdRaiUVd05mBMEMZAGAGNiGC8HuHM05aHtXp0aXtbdaC7u+sgl9EUjZAihgb70dSyYHt71/GbKpUKfNZQKkpsrTfpBmvSgRt75g2lduhd0RLGITyCux4p4H1fasG6/gCmzFQuLbGBniRS6SQqO6hjJjbDtd62NKgB6gI9W3YtF9A28NNXwCHiPa2DJ+CVR2f5NjF8PC0lcoeqwEiGZiaQOcaaDcST2T9CJI6msHKPbLoiDFXxwGMG0SDomxPi6x8ewmtPrYHpgie5wE7NEBIcQgiEVkCooeZ9NlRIvhET1GKC8QZHc7WKU05avGn5knnb123oR6XkT/nbHvRmQgjDvp339hM03tHVswilwjiKhQZ8PzLrT3pebKw5o3bQJnlOShrHRimhJAbzOYQH/PK3BVzx5Ras2xZA2JybTg1uZiy3yFhvx2rnWWlNTyzw2hhNO6BpkGfBK5xxcv/k8BaZF2pTO5PWroSjq1u5UUtSNMUSARKr7lp7Hb8wU9tgWXBVY0UYMNt8nbkg14WFBIWoE/TNDnHtB4fwmlNroLEyyxlg21mI+iEghCzeU+dALSZqOhxk1mAMjIUUg2MCy5YuxngtesfNt/+6nzGGgzXvYANa2mcjDkdBvcrOsYHw/lHywFlRYwwRD4y+ndAQ4UQpiQNy5UyS2KgmLBDYuo/hwScDXPXtKtb1BxDBVBq3HZaXvFsv9actt8250zQl62C6jidyLgKDYkcuzM6sty8OlVw5STh/crAbS05s1UQBl9jbCQeX6UDEjNG3fS1kmEinAblIHE5qB1fkNyA0se56uhoRVC2KwKXBMdmEzCgglAAk5FjcG+K6Dw7hk9/hePiJIrYOeEAg1H8q1NTB9JfXKguVIXsChLEM/gRUgHKKWhihraUZy5Yvvv/SN5yxc3hkAi3V8kEBfkjuAPOb0L/5ng2D49XrBsMVGJ2IDAf39dIgLHYK8ZiZ8Dq3RMmBWjVhBYF1O31cfX0V7/9SK9ZunQTccEutaXATC9TaesuJCiLDuw0dAXK5eJ56kplknJtnYp/E2pHanAremWBPDvDzttMlJNJUxVFT9No+SC6GpEpWookLYVXISpWcSFZWdi158lpZ8gbBcXNCfO0jQ/iHy4awaGYDqGvOHadyV9KTm2Wf4ByxEKhxYJxLC15gDfzVJQuxeH7hurt+/cCGQwE3cAgWXLedw8sQk9bfVmh8a6Ww/42CPw0vkDxch+W1aGnC9JZDSSwrzooCG3Z4uPr6Ztxydxm1mKkIJc0C3HYoKTPg9pCnd6eyBZGjkhjQWrXLLXCn+UeiwaZAmqIuz8exnBT0mYsgHZlUFh0usG1rziGMBRfqO+mErCTzUCkmSrXQlptCLomiwa4CIPJJ5ZFL6kPV8YAdXychR3dbjLdcNI5CIPCpb1SxcQeAApKxBOpWRwEwZcWtusuQhf1DIatxnbNyIS5+1ZJbTzth/m+BkUP+LQ8Z4CtP7EI4vq3fK51x+a61DzEWBZdUK3tBINAIlQUw4LECOiQ2KgolMWgAbNzu46pvKXCDWRMW1FqOaUqirbhCkQa3n1pHxyyClebVtmWmcHh1dhxxMgpzE6yy10GK1hwi2oU7VOizpUPyxAV+VmK0HFAd4FEUxJ3zKYyiQoRFV1R+OHSQSF9UnMpFIITW8gQoZBVbDXoACQ/gkvdTwiFqMQoex6WvnQAEcNX1VWzaiSSfHBa4zbYtFcmJniL2Ue2solptv/30k8+8/Jl1O7a+4rjeIw9wAPDLs1EfuXNrV++Kp594fPMl/3PXHpzUx7FySQweexBCT4JIpEET4KECtABs2eXhk9c34+a7y6iDSbXEttZ5ADcVYRN1hKV4t1mpzHqYGf1pcBKd56AS3Oz9lll2dO0ULZlCNDnslPBEMUkscXqAs9+oKCKXnhjrriy2KQ4v5BxJPUHCAN3i41yVa1NrlqhZQjqjkULWTlScXF1Adg6KXsiKUiCOgKLH8efnTgAE+IevVdG/C4qTWyFKM1Nff0kOXzRwxvJRHDergbp3Cl579snPfv+2h7f+9ZtOP6zf9rAADgBB0wwAPV94aH3//BvvLL75mz/dgv/3qV04brZAFOvIpuVY0hiECjQExeonfVx/SwU/ubuMBlEzfzPWmkwJbnv9eCenG1nNO5NMBbjWOwVk2PsdCpKlLA7dzgP54f6wiThiWWoCYdlrYe13JENttc1OBWKiLbQrI8qTETBFUUwwiEMV7lTWXasrnMpJzZxn6EryZYWij8JcYEyBPPA43nzuBMCBb95cweNrAtQ5syZNEOv7ExAO9PXW8Y0rhtFS6Ylq5bOi9hkn1gQPcbjtsAFOyDJ85pu/GOqYtuTtvd39M7nwVxX8AsJI/SUkUmmyynIzgXFBcNPPy/jEt5pxYJQhJNSdrDAZwCcBt55+ls7zphAOVaBIRSi1s5jpS3i2A94camLyUNIgzwHsobAVo5yk6YrFR6ykwiQn3LoQ7GOEcwGkOLsCsaS81tQ2vY/IgTJ6qS25+lCcgFKaD3JtyaXgKAUWLj+8BrnPJMgvPL2BK7/VjH/7WRlj6XorRP73glEcqDVhzTaORTN7H1y+dO4bQ0rqEMHRBzgAXHnZ67B2zerxV59wUWN4+wAqhQnUGg0EfkNZTRWh9AVGY4If/LSCK7/TjAMjcrm+XMutHUlNUaaw3HY12LTlzuR3I2W98/h3GsBwQZxYbTvXhLjPJH/xqcnwrUFn78+NYlrUSAMbIg/A7jzN3GVPQNTiaarcsRUMIlRae/PZtKOpigZJDs5BoFA9iSUnqrKVBjmBHBPHgEc5OpsjXPOeYTAqcONPKxgLieTlIjFsxCtg/0gR3/uvmfjshy8Nn1ozPrh82fPz4p8XwAFg0cIFEII/spOuWjk28POS7w2C+FI5YSwCZQLrd3u47d4SrrlBgdvwbYLJI5TE6nPBrau/2lFJu4a3mwo7laV2+XVGz07RFNvRRAr4h87Bp/6D3FoormOZaNzuPgNGbYKJDvTopUbsMXAzDPVdQfVrJ5NC05Mk6glDg9QFgMksuVRjABiQxzqPxXw2jvamGJ9+1wiKvsDt/1PGhj2++kFlmSxGKGa2eHjtGadOTJ+x8BFKD0nNPrIAp14L6vWJ/ztt5jmCRk99oESfKzY110FoCBCO3zwV4FPfqeLeJ4uoR1SF3tVsVUcKtMGtAZ4Dbsh8bo8k61g68qAF0EzhTANckQ9eqHIFKfohz5cTsk+/SO/UctIhNjM8j6ZYfa5110BO9jl96SCRBroZJ6VEmrb4FrA1X6ecSsGEClBwxSjyQK7K+1mOpwY5U2UmOCFAFKO9EuNz7xnG+WfW8alvV/HQU0X5RWkNwiNYfOqS2l/86VnXViveleVK5cUHOAAUCiU+suNfr2KFrvCZ/t6PrXlwYzCjIwAlwGduaMZ9j5UksD1Ly3YAnhd+JzmWW95SJbhz6pbYD5oD5BRdyeuzgerkguc4oGkN3DnH4bY81cTqt7PsEgdTWVT17hme7VCWxIE0y22rvHFGLHkRVFlu7t4xICtRUTUVDpQklDsFclnyA4q/swzIZeRbgl8IjoLHccFpNRQ9gc98V8DDBDrbBOAf3+ia1fnFr//woc9+9vKLOV5Ae0EAB4BbfzPRWDir+/M3P3R84/5Ho6svemU/fXpDEfc9XlaprnqtD4U+2GC2U16ZQUlGLXHAbTuVLvc2jiWQa70zEUsgY9Fz92UuAuKAXrf0/M3DlVIsAcTpzITq0xSFIBlANOh5siKaZcWRuhDMOWBfGJpm62KaSjWETMwC5eY72pacAKBcqBVQeAbkHBxUTVkDoeChAItjvOqkOvb86RieWEtw6asr3G9qvnr3WOGfSmxb47MvEJ/Pn9yo9tZL34HVG8sTPTNPufXDf3ma+MvzGuhsFwACgAUA9ZGuVzIZuO0ZORm1hLqRSqLBDZeXO2H2FB7zQvQOMDP7XFOedlDNnkmBTJL9aeoxVRMu0I3SgjSvTviJXUoiSbpK05IkPA8QQ0GSop1WCTjAGe9MebOntTlhfDZlWN+s+qayEePYQxgWQLiH3QMEP/h5O/oPXCT6Fqy4dfGsaGLVqve8UHi+cAsOAOedNhtbBxauf9XS8LInfn/J9Q+veYKiUJHURHCZZ2D+c+oC3Q6/K3B7kLTEszk20fMqJ6EmlpMJqw/K4UwHbzT80pzbhma+Jm4dbx1M7COJM+xgWDaAtbVwvdOWiPW4rNOpQu0213YsOwAinPcwqbhC3t00qLk6xkwZg3XHUAU2Jd9W6wABcgKzin9k1ZWkT1ry2AQEJdgJMOHh1OOA977t1fxA/MrLCq2z1w/vHjgS0DwyAO9beAJE9FgD7NwbfnLv9nIDta94/gCE7yGOQuVKmwQEGB6uwQ2pFOmHR4VZPTdfLclWqDKLY8G1snlcO9MPkunLOJA2FUmdC9khh0VPdI0ZwKIptnMpCHQNP3NaW2kxtMOlKdCgF0m3raBIZUMkYJdvow+VTqg5L4zezU3KiAzLQ9dutOiKUI6lnk0kCHEuXiEIothDGAYYG+OYP6sHM3vphy78yWk3dD+wLn79WSccCWgeGYADAPFWYM2mXfEVf/2mjX1zVo98+1/vaF67cxQjHBBRLHkb1YEcZcXVbT8gSeJUZuUFwKEdDv2wgJu7GjHJB3laFkw7ktIIE/dC0d/T8UBzgHywbavZwCbOtmWzLcAJJbfYSok5Ju2EaqnQgJwYBzNTSwUpKy40d9V0RV8d6S8uwEHN5GRB5OrVQhXAT0bKwm2CyU6PxSBErsszNhGgEXehs/sNIz1dp298/EPb46B03JGC5ZEDOAC0VUuojY/c/mcXnvy3HqJr/+XHd7cPjm6DT8fx3ICPwdEShAeDMg3uArErUGWtdDplNQ1mrTVkHpZlzziNSDrzLLzzIsehROp86UMOt+WmoOQFgwygtZKSAnNGTYHrWJrnlAOqNW49Xn0/e96n/SkV6wEh8nPoObcC8r9zaaCALudDKceBsRjPDXhoNARKhS50z/mTwVLbGVcMj4ze3tSULb/2QtoRBXh3RwsAYMeu4Zted+4qb05X4wsV/p+dPdN24u//pYh/v7OE2FfRKiIXgyoQICD2cn6pVc6QgBsWLUnr3LrlgRkkBc60RUcK3Dm0Ju2QpmOWriNpM/JDg7ywX9jWGC5QHWcVbp8c70Y8pQNKwERihYUyCk5JZmUIrGGJyuL8ANYY/VvbQBcEgnITgicEqtg+g1DLsv/i4QB/961ZOHFxNz552bl7Z8x71d8hDm8ql3twpNsRBbhuPdOrCOuj3zt71Wvozo27rimLbZ0eowANAOKDEAqPyCxZn4pMgcwERMmis/op7SRCAd9xKtNg1i9temLzbVjnIxYozdhUiQg4u82B9vscdssBtRP8yQnYkFQfsc+jKQk0RUj0cxvIttPp5DwJF9CZD6q3hPrmRKtYIrkwdJ6JzMMF0UuJNwhIrYgVS07e+4olZ39832D4vY5p1SMNQwBHQCacrPmFJgzuuP2GoFD66NpdCwYfXdcOUijBYww+leAOqJCrDavC9PIh1LaYPAXW+oknowgOPUmBOeHxJNeaA5jEgpMUqIH0RAiS92GmaiIZmpEP87Yt3pysr5nQhkTftnNRiGutnXPo8ySze2waYvg6cmRDNfMn5rIgqy7MKiVABh7r2fdaEgwwNl7G0nkeLj6/bbBaLX/0O//xyxuOFriBo2TBdeua+2b858++duPg0PGNzmnj39q2Z1szYbKErpYEAw1u5aDoaWfawdFWLd3SaocD5BSXJqn9yUmydwXn3Nbxyf04S1uS18TZPFR8i7zODEVJamzb38FYcqEvtuS3M2Fzh5MTQ0nM7Hyt0NhjYZ/Pej+rqhnMa2I+DSECTGcpCgkwHYoMuYfxCQ/z5iwZ+YvXzXjfeH3bD99w8ftfKMymbEcV4ACwem0XL5WKP3rlkqGorYQf/OqJrcUG9+GxxFr7FKqAUOJUaoeJ25Yn5/xpjp1gT+SCMQF6dok6028BOckWtIFPcq29w2wOgu48yU9bcVvGsymKC1TrGZP0WyF77ZhmCLSlxIjU57JVHvt3sgNJ3LH60tHkXNbIAVMOp5q/W6sTcG9pLSQz/2bZwuotUVR7QWH4Q2lHjaLo9ukPvRksHI8DMuOWC8/seMvbXt9ZE/EwuJDADhgQMKGeAd9L0lcYhVmn0waG/vHtbf3jg7jPaUcynWeSoSL2uawxzj6S/zp78BRjUldrNrpJnKG5Vj4vtm9FN4X17FASkT3UlKqwzjWVL6Fn/3BFTcKIIowYwoghUs9hzBBxplJxR7BhYGFt6/7et8yeP/uW0dE4nrnor3C028ELSxyBdvd/34Ivf+YccfHFK9f86pE9axth4fWjQ6N+tSBQ8CSoAw/wmYDHNLDlL2xmgCNlxdNKig1Wm7vrVRtoarwq9+YW5Uz6k8goccbLsfo1sc4pl++jNLkLmBxxgpznBET6veztvJReu5QcrPd19k0yXr8fdcYK41Tb7+fk1uvVnrUWrt5churlYrBRzBDHCRfnQiZT6LmhBDGqbXPGm1u737Zi5Xtv6V7wKL/ggv/zYkDvxQE4APzzDT/FDn4SpjdKz7RPb93cUsC5tbHhokel9fb1w1MAh7wN6oKMukB6BtxIAdzONqTZPmrATNyLg7rgM5OTDWgloA3orfFmmxIH7PrCmAzgWbCmAT15X96dScuoOliU7LfBTzLHZe9w7uK4ycWeZGkKQRBzabUbIUUj0mW1qQoWEcQxwDlDUJ475Jfmv+uue3p/dPP3b8fpZ777xYLdiwdwAFh9321Ycf6bsHRu69M909t3zO/tPnt0ZKQ8Pj6BwCco+EDgEwRM/glcle2qx7JmXSx0yXaDc9faUmubun3UBr4CZB7oqWXp7W1zQVDi7reAry22/R5TWfAMeDMPkr8P2gGcBKRaHUJqH0j++yB1B3Qqg9krU+u1l+TvH3OGeoNhvOaj1mAIQ2nRAYDzGF7QjmkzVuwLyrOuqIXt/3bc/N1on3v5iwm5o+9kptsXr3wbAGDvvgM3+r7n/WJ21+f/45Z7OifGh1Epegh8+afWGhxjNWCkTjERy/K6DGqdRUpUGWfNHeHwXr1up83H7Zbm4bovJX+7x1mcPj3G7puCth60Odq25UAmVanUM7G+spYOASc0T4wTSSzROxvytxUb90eyKIxVFpupkiCex0AJMD4RYGTcw0Rdbhd8DoIIra1V9Mx7zd5Z8874GOfRjaVy61HD1FTtRQe4bp3TWnFgeOy7F11wFmlE5Jpf3v3LTirG0FTx4TOKmHNUmmrYub6BnQd8sMBDkRGUKAAikkVPc5xD+/YNpCyZJbfkaurE3Qf7XKkLgORcPXkh90NptpJBrJNpQBswq/i5q6AQE2DJqCuwdW9hPrNUVrIF9J3oD5Q1hyzP57FYVjHzYhSDENv2FLBuWwVDox6imIBRoOjHKJdbMa/vzL0zeld9HBDfZcXWYwWzYwdwAGitVjA8MnbDJRecFnW3+1956omH2uLGARAKlAoUc3tCvOb0PfjRvR5+9fg0jPISiCc1dE5UzQ91Lvv2mn97zgGsbhY3hRlrUQAjDtrnSPpgXTh5EmMe5O0wuzG2ljSYBbarfMh+aarzI5+J+U/yVXTQRzgXgv5ARhc3EkziwxAipb5iIYTnTeBXTwr88J5mDO8nmNcZIvAJGKPondWFuYtX7u+YedJHuBA/8IPnP93sSLRjCnAAqDZXEEXhTavOWDGIaN+CclD/4qZ1j/pBALRXGc5cRjCrYz82bvOwbo+PBvURCSCwbqq21j2ZA0bS++GOc3Rya6xzXjXYVkAcimJA7wI616IL91ibctjAljPhRWLhc7RuafnTGYRJJDNhKsTpl1gm7jkhUpKlCt5QAUZj+H4DO/Y1cO0t07B6zTQs7SHYw+pgDHjVqtPCtpbiR+fMP3kjYaWf+8Exh9exBzgAeJ7P9+1ed/t5554TbNu6YZwx+s3n+n9HJibqdP9ICSuWHsCieXVs2B0jVmtz6T8uA9ZchwyulbasLAAHaHLbtb1ZJuKuv5MbIc2hTro5+d9WqN5Ycw2+9JVhW2czJzObV2IfZ/JPbF2c2KC2AK8vAujgDWBzQOlgcqzZzLD6qSa0tDKU/BhNTSV++qknisV9i967+LhF39+8ZXvjpBMWHys4Oe2oB3oOtU3r7sPOXXsb5abum1rae5d0zej7RLFpOgga2LyNYOeAD050lrLl/dsatp1OCxd4h0JX0oGgPMfTOacBekJPKEkIjcP5Uy03zcRyGE0f3MCMnSaezMzJGe+E1KHT1qz8FRWsEenVka1+TsxnMucRFNOnCfTOqqHeCDF39nScsPS4Tyzum7dkzuzpNw3s2/OSATfwEgI4AMyacxy6pvdO1Mf3rvv9zgs/v2DerKvjwqL4E9/rwePrWwHqpWqjJOB29O/UwwQ3Uu+X1ol1H9LAtvfB7Z/a0tuDZZsMkLBpg92vTuBGH92Il0037DcUqXM6fU7p5GShp2QJwfxFYxshw5JehmvePYHzzuqNp89edPUH39r3+a3bdq9buGDuxPKlxx9rGDntJUFR0m3Fyj/B4Nab4rY5b//kzj17vBUn//pDm/Y+Xti4Y0jV3pDBIMbceZtpUCdgT+WX5FEIkgNgvcPqsFNpc9UZJO/nnDMP+Fbgyk45sdMQksQnZClKmq8Ty9qn8kiEseI2tSHg6kBZhNM6B6eIiZwl76ngjRACAMVYOB9nnLKq/uoLzv9yS/P0T/qFW/HpD/3ZsYZNbns+itaL1rbuHkFPJcRISK+5/7ENKz987U9po46VY4P7vGkVgkpA4DMdrBGmyqwO9VML3GmObkc7dUBHj7eDRXrbDsNTmg3hy4jlIYTlbXUm5SdMFqhKAi520EpYaQjWvFWaRCEpTbbtfh2ml++bBG8YE2b1PB3U8RhHMWigVBhDU7UaVcriQa/tbzgpLntwYsL7eHt7DYS0H2uoTNpe0gC325XX3YYg8Jv3D41+Z+3a/j8/sHsH5eE4Cj5TCy9ZSVosAZ79RdOheQNcG0iUJGPIZEDOAjsBfQrc6s1t3m4+jy45bH8uYoPYfhbJNrVKZJiLQiTA1+OtC0HvJ5DPsiX58owKMMbheQIelQXuZW3BCNVmD51dbbypdd6PvaD5nZyHI609bznWkDik9rIBOAA88rvNKJeLHRu37Lj81w88ujSqDb3xsac2YrxB4XtUZiR6gO8pawt1u7bq46UtJbMAbVtmB9wEMhxPXUvOHLDbiVZu4lOG3th/AMkBeArcTBUhYHlW27LwyfewwS0njhAL+Ppi08uaEEiA+x5HIZDLRAIx9g8RNLf1oburfOvMuSc+XanO/GoU1gaKTUduUvDRbi8rgOu2efNWVCqV3s2bN1x752/WvfHWu55CffQAWisM1RJDIQAYI+BcwKxoJxIg2RSG0oSeuICGyQUxwHfoDLGO1a/tZCvXeU14tev1pamMbaVZCuyMWlabJvkiyUWh9yvKQROawkxOCVTUkyCOCaJYOo+MChQLMcqFOsqFGqotRUTeCqB44q19fYuuGBsb7e/onHWs//rDbi9LgAPA2Nh+lAr+wjsf3LR8YN/I5U8+uebsp59eAxKPoL3Fh8co6g2OsZpAGOnZ3sTh6PLZpijETLpABnRJ5iClxDpWAZvqu0FizdVpAKTC4XDVFJ3ERdMAd8CdpikuwOWFKCz6JQzAmeHTso9Q6Vg2QoqxCYZag4IxgeZSDTO6A8yYuRAd0/vui0T5qw2y7HdAY8OM7pcuz56qvSRVlENplUobAGwQQmwA8DSNwxlnnbr421s2rV24dfMa5rEI+w5wDI4INCIJFI8JUCWSa/064ebElKlwAj85qoRjFRw6Q+A6rOYUpum6f8aSawmTC5MUbhaPskLpdh585jOo/XL5EVUxlqi1eFKRSUYFPE+vTs2wY4Bi9z6O5qYA8xctj+cvmreB0dq7ql3n7ASwbjId/+XSXrYA1039Aet27d63Lo7jC7raSzPPP+e0m7du/GX1sd8/U3lsk0Ac+agUBEqBzDeftEgQzfLk3OQpSxbMqDPUeljWm3MdUJEF6DkX1ndAYvEpcda41Mfbk5MdzR7JPgNynVSlnBAOoko7CFDGUQwiVEohamED++tN8JsWj73u4tcOlwrRpa0dM7dTSvtf7sDW7WUPcN2md0+DEKK/Z0bnNvCJVwxNrDx9WenUfx7kG6OHVm9orw0PNhfV0tHS0lLHImv6YmvRaT06XYMkUU2IcTo1nWBWXrkQQExg1B7OBWIuLL8gKS4vAeyufZlJ94WrsdufVYvmVIU6TWSSw1QqKJc4OjubR8otxw8ef+pib9+w/45q0/yHujpLQ0II/kIKzr/U2h8MwAFjVfmvH+/fz/wZdwTF0b4vffrH9Yd/8+UP33XPw29dv35T6JHxxR6Ji8PDY6hHkjczSuRUOSbtdyyAOLasrAYqLE3dvKerqzMlU9pcXwgg0s4uFwgjjiiW59b8XtgziEQKtHBpjl7iiKqkb3luYmoGAgDTK0wTgVqDgHkVEI/WmprZmrbpvX5n76k3jax98z+29txYaJvWXAOe44T0Heu/8Mhj4lh/gKPdnnxmC3zfI7f94gFMbw/YtLamb0aNWt8za7esevLZ7YzHdTQVZECjUPDAKEUYcdTqHPVQFoP3GIHvAb5HwZi21PKZMfnwGIXnyWl3HgM8T3J+TwE3ioGRcYLB4Qhj47FakU6eWx5P1GsKz6PyHOph3xU8JhD4AoEn4HnS8tcaFBN1gkYICHB4NEZLE0NbVaC52UODz45b2uc+0NRUWCfikctaKmPxzHmrwHkkSs0LjvVfdFTbH5QFz2snLJkLJAYwGhoaemelXGg74cSBz439+x3Bzue2xnNnVk4u+HTFxNh+1GpjoAQYHBHYN8RRCoBKUYKOkEQKlCeVFlRPT9OyHmOA7wkUPAlG3+PqDgFs2Rlj/3AMj0q93vcIfJ8mtEMVrwR1MxoNj1cXjO8JlIsRCkGEPfs9bN9DMVETqDZX0NnTgXJRPNZSHV49e/YM1jnnooYXdP694PX91ZajV2Tnpdj+4AGebi0tLQCwH8B7AOC+++8HITi7UQ/Pp2L80lq9dtz4+ASeXvc73PFIA2PDISAaCDwGGgTwmJxiIYRQgJPRQANuJct5VCAIBCrFGJVShI6WOorlGm59qIjBfQE6qxyVAkGpQEGpQEwBwolcIYEmdEj7BZzLCR5ccBARoVyI0N7SQKEU4cnNLZi34AQEhSLKpdLars7qzb7v3ykg7us7adWx/smPaftfB/B0O/usswDgvvHR/fcBuL8RxgvGxwZ5U3ENHwhnzutpnfGxAwPb0NUeYOjAPoyNDkEIgb1DIYqBj0rZA3yR8G9LRQk8jkopwrSWGubMGELMhjA40oktA0WVPCVpRiB04EWuM0kgKQohBMWAgyDE7kHJszs72tA9oxPTqjX0zu/C0Ojmz2/cW998ySWn067ONsqYtxHAHR0dL0/d+ki3//UA163c1AYAd+jt/uf24MTTC639W3c8+NRTDNNa/bC5eckHKBHnCcGxa6CO1asfB0UN5bKPUgA1YbqBsYkGokigUoxQKoyjqTyI4Yn92D7QQGcrsGVAYMdwGRQExYCgueRBCA4ufPh+AZ5H4HkMhQLQ1VXG4uOXY+CAXGfO9+ldcTTxlbamht/auRizF77+vm8srR8oVrqP9U/4kmx/BPgkrXdWFwAcAHAbAOzevQsA1kDwbkDw6QfqWLd+PcJajCDwEQQA543wlBUnXrVl++jFPI7Dnk6Bno4xbNs3jJ/dS9HaxPHRt9fQ2sRx20PTsHtnBT1tBN3tDMWi79fC0s+efeaJqwqs6DOPgTGCcrkJvfOOR0fNByGM+h7bDWBzV/cfAX0o7Y8AP8TW3T0dADarR27bsv4BUEreuW9kT0sUxaLSJFCqFDG6q4h1O8tYOk9g7oIhzJs7hvWDraC8iu5Wis42ikopIJx1DM2ZM2f3heelefP7jvXXf9m2/w+z43WtoCcFrAAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxODoyMDo1MiswMDowMAP/sQ4AAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTg6MjA6NTIrMDA6MDByogmyAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 36045415
{'hecke_orbit_code': 13510936354620904, 'n': 1, 'trace_an': 16}
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id: 36045416
{'hecke_orbit_code': 13510936354620904, 'n': 2, 'trace_an': 0}
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id: 36045417
{'hecke_orbit_code': 13510936354620904, 'n': 3, 'trace_an': 0}
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id: 36045418
{'hecke_orbit_code': 13510936354620904, 'n': 4, 'trace_an': -8}
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id: 36045419
{'hecke_orbit_code': 13510936354620904, 'n': 5, 'trace_an': 0}
-
id: 36045420
{'hecke_orbit_code': 13510936354620904, 'n': 6, 'trace_an': 0}
-
id: 36045421
{'hecke_orbit_code': 13510936354620904, 'n': 7, 'trace_an': -16}
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id: 36045422
{'hecke_orbit_code': 13510936354620904, 'n': 8, 'trace_an': 0}
-
id: 36045423
{'hecke_orbit_code': 13510936354620904, 'n': 9, 'trace_an': 0}
-
id: 36045424
{'hecke_orbit_code': 13510936354620904, 'n': 10, 'trace_an': -20}
-
id: 36045425
{'hecke_orbit_code': 13510936354620904, 'n': 11, 'trace_an': 0}
-
id: 36045426
{'hecke_orbit_code': 13510936354620904, 'n': 12, 'trace_an': 0}
-
id: 36045427
{'hecke_orbit_code': 13510936354620904, 'n': 13, 'trace_an': 0}
-
id: 36045428
{'hecke_orbit_code': 13510936354620904, 'n': 14, 'trace_an': 0}
-
id: 36045429
{'hecke_orbit_code': 13510936354620904, 'n': 15, 'trace_an': 0}
-
id: 36045430
{'hecke_orbit_code': 13510936354620904, 'n': 16, 'trace_an': -16}
-
id: 36045431
{'hecke_orbit_code': 13510936354620904, 'n': 17, 'trace_an': 0}
-
id: 36045432
{'hecke_orbit_code': 13510936354620904, 'n': 18, 'trace_an': 0}
-
id: 36045433
{'hecke_orbit_code': 13510936354620904, 'n': 19, 'trace_an': 0}
-
id: 36045434
{'hecke_orbit_code': 13510936354620904, 'n': 20, 'trace_an': 0}
-
id: 36045435
{'hecke_orbit_code': 13510936354620904, 'n': 21, 'trace_an': 0}
-
id: 36045436
{'hecke_orbit_code': 13510936354620904, 'n': 22, 'trace_an': 20}
-
id: 36045437
{'hecke_orbit_code': 13510936354620904, 'n': 23, 'trace_an': 0}
-
id: 36045438
{'hecke_orbit_code': 13510936354620904, 'n': 24, 'trace_an': 0}
-
id: 36045439
{'hecke_orbit_code': 13510936354620904, 'n': 25, 'trace_an': -32}
-
id: 36045440
{'hecke_orbit_code': 13510936354620904, 'n': 26, 'trace_an': 0}
-
id: 36045441
{'hecke_orbit_code': 13510936354620904, 'n': 27, 'trace_an': 0}
-
id: 36045442
{'hecke_orbit_code': 13510936354620904, 'n': 28, 'trace_an': 8}
-
id: 36045443
{'hecke_orbit_code': 13510936354620904, 'n': 29, 'trace_an': 0}
-
id: 36045444
{'hecke_orbit_code': 13510936354620904, 'n': 30, 'trace_an': 0}
-
id: 36045445
{'hecke_orbit_code': 13510936354620904, 'n': 31, 'trace_an': 40}
-
id: 36045446
{'hecke_orbit_code': 13510936354620904, 'n': 32, 'trace_an': 0}
-
id: 36045447
{'hecke_orbit_code': 13510936354620904, 'n': 33, 'trace_an': 0}
-
id: 36045448
{'hecke_orbit_code': 13510936354620904, 'n': 34, 'trace_an': 40}
-
id: 36045449
{'hecke_orbit_code': 13510936354620904, 'n': 35, 'trace_an': 0}
-
id: 36045450
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