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mf_newforms • Show schema
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{'Nk2': 9248, 'analytic_conductor': 18.461412947320024, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [2312, 2, [1735, 1157, 1737], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 577, 'dim': 12, 'field_disc': 47860305899360256, 'field_disc_factorization': [[2, 12], [3, 16], [521, 2]], 'field_poly': [1, 0, 180, 0, 438, 0, 342, 0, 117, 0, 18, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 0, 180, 0, 438, 0, 342, 0, 117, 0, 18, 0, 1]], [5, [289, 0, 2406, 0, 4329, 0, 2126, 0, 426, 0, 36, 0, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050463536220424, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 9248, 'analytic_conductor': 18.461412947320024, 'char_conductor': 17, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [2312, 2, [1735, 1157, 1737], [2, 2, 1]], 'conrey_index': 577, 'cusp_dim': 270, 'dim': 68, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 68753033480, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 12, 12], 'label': '2312.2.b', 'level': 2312, 'level_is_powerful': True, '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, 17], 'level_radical': 34, 'mf_dim': 342, 'mf_new_dim': 68, 'num_forms': 15, 'prim_orbit_index': 2, 'relative_dim': 68, 'sturm_bound': 612, 'trace_bound': 15, 'trace_display': [0, 0, 0, 0], 'traces': [68, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 12, 0, 20, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -76, 0, 0, 0, 4, 0, -44, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -44, 0, -36, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 80, 0, 12, 0, 0, 0, -20, 0, 36, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 36, 0, 36, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, -24, 0, -8, 0, 0, 0, -48, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 8, 0, 0, 0, 12, 0, 52, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 120, 0, 44, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 36, 0, -8, 0, 0, 0, 16, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, -44, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -8, 0, 20, 0, 0, 0, -56, 0, 116, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 12, 0, 72, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, -64, 0, 8, 0, 0, 0, -20, 0, 20, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 36, 0, -24, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 4, 0, -28, 0, 0, 0, 20, 0, -108, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -132, 0, 24, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 72, 0, 4, 0, 0, 0, 180, 0, -84, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -76, 0, -60, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, -108, 0, 28, 0, 0, 0, -16, 0, 80, 0, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, 28, 0, 16, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -52, 0, 116, 0, 0, 0, 44, 0, 64, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 72, 0, -20, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -36, 0, -68, 0, 0, 0, 28, 0, -12, 0, 0, 0, 116, 0, 0, 0, 0, 0, 0, 0, 100, 0, -4, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 60, 0, -28, 0, 0, 0, -72, 0, -68, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -88, 0, 100, 0, 0, 0, 0, 0, 0, 0, 228, 0, 0, 0, -40, 0, 88, 0, 0, 0, -76, 0, 12, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -36, 0, -28, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -72, 0, 12, 0, 0, 0, -76, 0, 112, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 96, 0, -84, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 108, 0, -32, 0, 0, 0, 100, 0, -72, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -88, 0, -328, 0, 0, 0, 0, 0, 0, 0, 252, 0, 0, 0, 80, 0, 52, 0, 0, 0, 36, 0, -84, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -68, 0, -156, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 88, 0, 316, 0, 0, 0, -92, 0, -76, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 24, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -404, 0, -8, 0, 0, 0, -76, 0, 172, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 152, 0, 8, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, -112, 0, -88, 0, 0, 0, 356, 0, 28, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 40, 0, -88, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 104, 0, -112, 0, 0, 0, 16, 0, -28, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -308, 0, 68, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, -20, 0, -32, 0, 0, 0, 112, 0, -52, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -148, 0, -88, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -36, 0, 40, 0, 0, 0, 8, 0, -104, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 172, 0, 144, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 16, 0, 44, 0, 0, 0, 48, 0, -56, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -140, 0, -84, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 52, 0, 220, 0, 0, 0, -96, 0, 540, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 540, 0, 4, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 68, 0, 40, 0, 0, 0, -688, 0, -72, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 24, 0, -72, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 548, 0, 32, 0, 0, 0, -4, 0, -120, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 124, 0, -12, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, -204, 0, -564, 0, 0, 0, 96, 0, -176, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 20, 0, -92, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 84, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47846097
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 577, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 63050463536220424, 'source_is_minimal': False, 'source_label': '2312.2.b.o.577.11', 'source_level': 2312, 'target_conrey_index': 577, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 63050463536220424, 'target_is_minimal': False, 'target_label': '2312.2.b.o.577.11', 'target_level': 2312, 'twist_class_label': '2312.2.a.u.1.6', 'twist_class_level': 2312, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47846098
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 577, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 63050463536220424, 'source_is_minimal': False, 'source_label': '2312.2.b.o.577.11', 'source_level': 2312, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 90071992580966664, 'target_is_minimal': True, 'target_label': '2312.2.a.u.1.6', 'target_level': 2312, 'twist_class_label': '2312.2.a.u.1.6', 'twist_class_level': 2312, 'twisting_char_label': '17.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47846099
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 577, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 63050463536220424, 'source_is_minimal': False, 'source_label': '2312.2.b.o.577.11', 'source_level': 2312, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208337160, 'target_is_minimal': True, 'target_label': '2312.2.a.v.1.1', 'target_level': 2312, 'twist_class_label': '2312.2.a.u.1.6', 'twist_class_level': 2312, 'twisting_char_label': '17.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 47846100
{'conductor': 17, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 577, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 63050463536220424, 'source_is_minimal': False, 'source_label': '2312.2.b.o.577.11', 'source_level': 2312, 'target_conrey_index': 577, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050463536220424, 'target_is_minimal': False, 'target_label': '2312.2.b.o.577.2', 'target_level': 2312, 'twist_class_label': '2312.2.a.u.1.6', 'twist_class_level': 2312, 'twisting_char_label': '17.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 47846101
{'conductor': 68, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 577, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 63050463536220424, 'source_is_minimal': False, 'source_label': '2312.2.b.o.577.11', 'source_level': 2312, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 198158383637860880, 'target_is_minimal': False, 'target_label': '4624.2.a.bs.1.6', 'target_level': 4624, 'twist_class_label': '2312.2.a.u.1.6', 'twist_class_level': 2312, 'twisting_char_label': '68.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 47846102
{'conductor': 68, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 577, 'source_dim': 12, 'source_embedding_index': 11, 'source_hecke_orbit_code': 63050463536220424, 'source_is_minimal': False, 'source_label': '2312.2.b.o.577.11', 'source_level': 2312, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 193654784010490384, 'target_is_minimal': False, 'target_label': '4624.2.a.br.1.1', 'target_level': 4624, 'twist_class_label': '2312.2.a.u.1.6', 'twist_class_level': 2312, 'twisting_char_label': '68.55', 'twisting_conrey_index': 55, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2568575
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 63050463536220424, 'p': 2}
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id: 2568576
{'charpoly_factorization': [[[1, 0, 180, 0, 438, 0, 342, 0, 117, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 63050463536220424, 'p': 3}
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id: 2568577
{'charpoly_factorization': [[[289, 0, 2406, 0, 4329, 0, 2126, 0, 426, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 63050463536220424, 'p': 5}
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id: 2568578
{'charpoly_factorization': [[[289, 0, 10131, 0, 14745, 0, 6027, 0, 885, 0, 51, 0, 1], 1]], 'hecke_orbit_code': 63050463536220424, 'p': 7}
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id: 2568579
{'charpoly_factorization': [[[3474496, 0, 2714016, 0, 710628, 0, 77205, 0, 4041, 0, 102, 0, 1], 1]], 'hecke_orbit_code': 63050463536220424, 'p': 11}
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id: 2568580
{'charpoly_factorization': [[[199, 294, -267, -210, -24, 6, 1], 2]], 'hecke_orbit_code': 63050463536220424, 'p': 13}
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id: 2568581
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 63050463536220424, 'p': 17}
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id: 2568582
{'charpoly_factorization': [[[1061, 1836, 417, -232, -48, 6, 1], 2]], 'hecke_orbit_code': 63050463536220424, 'p': 19}
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id: 2568583
{'charpoly_factorization': [[[1, 0, 1311, 0, 7641, 0, 4299, 0, 789, 0, 51, 0, 1], 1]], 'hecke_orbit_code': 63050463536220424, 'p': 23}
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id: 2568584
{'charpoly_factorization': [[[1018081, 0, 5037291, 0, 4985949, 0, 512183, 0, 16749, 0, 219, 0, 1], 1]], 'hecke_orbit_code': 63050463536220424, 'p': 29}
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id: 2568585
{'charpoly_factorization': [[[130210921, 0, 51343923, 0, 6963213, 0, 424371, 0, 12729, 0, 183, 0, 1], 1]], 'hecke_orbit_code': 63050463536220424, 'p': 31}
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id: 2568586
{'charpoly_factorization': [[[1233203689, 0, 385851183, 0, 34181565, 0, 1364163, 0, 27369, 0, 267, 0, 1], 1]], 'hecke_orbit_code': 63050463536220424, 'p': 37}
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id: 2568587
{'charpoly_factorization': [[[115068529, 0, 760266519, 0, 76472637, 0, 2701163, 0, 44025, 0, 339, 0, 1], 1]], 'hecke_orbit_code': 63050463536220424, 'p': 41}
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id: 2568588
{'charpoly_factorization': [[[-7883, -378, 1884, 36, -87, 0, 1], 2]], 'hecke_orbit_code': 63050463536220424, 'p': 43}
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id: 2568589
{'charpoly_factorization': [[[-2125, -1125, 585, 121, -45, -3, 1], 2]], 'hecke_orbit_code': 63050463536220424, 'p': 47}
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id: 2568590
{'charpoly_factorization': [[[-233000, -156000, -32610, -1483, 276, 33, 1], 2]], 'hecke_orbit_code': 63050463536220424, 'p': 53}
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id: 2568591
{'charpoly_factorization': [[[-1063, -516, 1164, -106, -93, 0, 1], 2]], 'hecke_orbit_code': 63050463536220424, 'p': 59}
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id: 2568592
{'charpoly_factorization': [[[46280809, 0, 26415984, 0, 4917270, 0, 395994, 0, 14241, 0, 210, 0, 1], 1]], 'hecke_orbit_code': 63050463536220424, 'p': 61}
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id: 2568593
{'charpoly_factorization': [[[-36117, -38475, -15291, -2673, -153, 9, 1], 2]], 'hecke_orbit_code': 63050463536220424, 'p': 67}
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id: 2568594
{'charpoly_factorization': [[[1303859881, 0, 361764804, 0, 34999146, 0, 1560918, 0, 33585, 0, 318, 0, 1], 1]], 'hecke_orbit_code': 63050463536220424, 'p': 71}
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id: 2568595
{'charpoly_factorization': [[[152004241, 0, 133294947, 0, 27281853, 0, 1620979, 0, 39369, 0, 387, 0, 1], 1]], 'hecke_orbit_code': 63050463536220424, 'p': 73}
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id: 2568596
{'charpoly_factorization': [[[3995251264, 0, 61595354208, 0, 2356170660, 0, 34177061, 0, 236271, 0, 783, 0, 1], 1]], 'hecke_orbit_code': 63050463536220424, 'p': 79}
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id: 2568597
{'charpoly_factorization': [[[73387, -76332, 1035, 2616, -183, -12, 1], 2]], 'hecke_orbit_code': 63050463536220424, 'p': 83}
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id: 2568598
{'charpoly_factorization': [[[11917, 45411, 25725, 699, -357, -3, 1], 2]], 'hecke_orbit_code': 63050463536220424, 'p': 89}
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id: 2568599
{'charpoly_factorization': [[[38809000000, 0, 11865540000, 0, 662768100, 0, 14632229, 0, 145695, 0, 639, 0, 1], 1]], 'hecke_orbit_code': 63050463536220424, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 15, 'label': '2312.2.b.o', 'level': 2312, 'portrait': 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Hvs2hzjK0OsBXEasNSVDMc+gScQRjM/rdkwlbLcDekOBaPEZ2Ug2DylWepoTl5Q1PyAzbOwfT5i09yIjXNjNs+N2b7JcMlmxVU7fOqqybGTbe59MuDhgwmPn4hJVY/veHGHN7/QUFdzHDwxzbGzHmcuppzPwH140XDzNQv8wjtW2LFhirMXp7m4UmOp47Pckaz0Unr9lP5IcPD4IgdPda567NDFlxw9fWHX8bMXP3fLt70luvu2Dz/bkPiGbn+vGXx5pUMUGZTinV955OgLf+43PyLf+sJDL/y3bz7jLaxsYrnTZqnTYKkTsNTxWOrAcidluROztJpyfhWOLAnmN6zyS9+/xPOuaHDqwixnLzY5u+hxYclwfjHh9ELKxV7C9OyIF13X5wV7IZB1QhVyYbnGuUWP88uCwRiSRFMLNM1aysxUggZOnE/o9mHnJp9mfYwxAkRAf6i5ZPOYpVUPjJUiq30YJ2AwLHcitm306Q0VQhmEHtOu+VyyZcTqQHDirEeqPebaklZNEPqQJILBWHJ+WXJuyXBhJSEMR+An3HJ1nxdeI5hv11laaXPqQsjZRbiwmHBhOeHMMhxZMtx09SK//P0rbJ5uc/L8LOeX6iysBCx2JMurKSvdmJVuynJPs9iTnOrC6nKX3/i3UfJ9r659NdjwozpoXPVVif65FJ+w1n62ofKMt7+3DP6+P/kIL7zlRn7qp37qVz7wkS/92/f8+Rcu23eis+vw2YF80bV9Lt2akmoPYxTGWPbGSEACAiEMnjAEEs4u1bn/sOS6Pcvs3TGiUQPfkwS+Igg8mnVJw5cM+j4Hjtf4/MMBJy6O6SYxB06N2TS3zBtetMJ1l/W4aW+H44sJiwNBIxxx9Kyh021y7aWS1VHKvuOKVsPjqRNw+VbDKEoZpQGeFzPTgv2nQpSX4ssEz4fhWPK8vQOGA8l1l6V0hyknzrbYvVnRbESsjg0bpwes9Lt86Evw6LGUx4+N2Ll1ieuv7DIzG/H6W3p890sNeza3SONpjp2Z4shpn1PnNacvxpy+mHLkouDkasxzrljgl76/x6bpaU6dn+XCUoOF1YCljmSlk9Lpxaz2U1b6huW+4MJAsdJNuHnvIj/xxouy7oldF8+f2D0cJs8P25fW642ZLzx878f5vff8+bMNmXVvfy8Z/IMf/Guuu2qbuuu+w//30ZPnf/6hJ46r88sRSyPF2YHhup0X+I0fW+CGPQ0uLM2w1Gmw3Kmx3PFZ7nqs9GClk7LSTVjuJSx24NSKwKuPuPWaZb7npRG7NzZZ7be5uFxnYTlgsSNY7liJsNLTdIea7tgwGCXMtWMu2aQBQegbTl/0ETJk50bF7q2GrRsHXFgZ89ihFs+93NCor/Dk4VlazYgo8pmb0QxHcNUlIz7wpWmu3JEwHhs2TEnidEirFvLU8RF1v8kNVyQ8fjTiwlLAtrmQ3Vvgks0RSsWcXoTANwhh2LkpYaYl6Q1D+gOf7sBnuatYXoWljma5k7LYSTnfgaVRyiXb+nzPyxa5da9HzW9zbrHN4kqNxVWP5a5gpaNZ7cWs9FJW+4alPpzvKS6sJjzvyvO868eWuHxbk6VOm5Vujf5oClXbkwb1Lb8ylJf+cqDPpi95+T96tqGz5vb3CuAHDh6kXqvVz5w5fckjjz71tmMnzvzn/YdOM4ol/RGsDi2jnO0l3HTpef7rjy1z/aV1Lq7MsLTaYKVbY7nrs9L1WOlCp6dZ7SWs9BKWu4YLHcHZvgHR580v7vD652ku3VIjihqsdGqs9gM6PcVKX9AbCEZjQ5QY0hSUNIQ+1EPDdNuwcTbG80ccORfxxOEQnTR57fMjPH+Vh/ZNsWsLfOb+hBdfG3KxM6TmKZI0ZnYGktjH8xOWlhq86MYun7mnxe4t8OChMT4NXvM8TSKGPHEk5djpGp4M2DTjMdMU1ENBEAiUgERDFBtGEfQGhtW+pjfQrA40S33DME3ZuX3A61/Q4c0vjEC3WFqd4uJy3ertrsdKB1Z7KZ1+wmoG7uUBnOsqFropN11xgXf92EWu3llnYWWa1V6DTj+k2/fp9ARBYzu15qb/sGX7VX+5ffu2k6PRaHj55Vc821Aqbn9vAH7i2GHm5+eDQ4cP/+DBQ4fe/eBDj4ql5b4cjTX9kaY3MvSGsDqUXBxKzvVinnfZRX79h5e48bIai6vTLK02WemGrPYCVnoeqz1Bp2fo9FNWewmdvmalb7jYE5zraGamB3zbTT1u2Zuwc5OiXffp9mqEvgQUUSLRWqANDEaA0My0Rhw6Y9Am4vYHm4wHdS7bFnDrdQNivcqdD09zw+U+h8736ay0ecF1A77wUMimWcO+E4Z/+aYu+46HbJqVfP5hxa1XKZYHXY6emuWGKyLufGJIMm5wy9UBe3aMGCZ9bntIQSo4ctqj3fDwBAyGEm0EqTbECSA1XqDp9A3NVsyOLWNeeNWAb3tuwlyzxoXlKZZW66x07bFZ6Qo6fej0Ejr9hE4/pTMwLA8k53uCxV7C869c4Fd+eIHrd9dYWJ1itdeg2w/pDnx6A4/eQNEbCuK0pvdcfp3Zdemen9h96WXvW1pciPZe+fcD5H8vAJ4kiYzGwzc8eO9nLuv1k3c98OBD/nAMo8gwHKUMRin9kaY/MvSGgs5QcHEoOdtJuOWqi7zzhxd47p6A1e4UCystOv0aq72A1b5Hp6foDKDXN3QHCd1+Sn+o6QwMC33BQh/idMz1lw/ZPJvSHxhe94IxuzZrklTiSUMUwx2P1Th5scaWmYQnj9RAN9i7XXHjlZqwNuChQwMWFptcs6tJe3qFex73ufnyGkuDVVZW2mzebLh/n+Ifv6LPA/s8tm/0Wex3WFme5carBtzzZMpsfZprLutzsdPh/qenqXtNbrrScMUlI5B9Hjsm2Dgbc2Eh5s7HfEaxQkpItWHXlohve0FEr6/YOqO58XKIogbLnQbLnZDVvk93oOj0Jd0+dAcp3X5Kb5DSHWhWB4bloeRMV9AZjrn1igV++YdWuOlye3F0enW6g5DewKc39OgOFP2RZDAU9AYpg2HCc268KdbG++m3ftcbDjeb9U/6vq+fbWw965nM8XhAHA++/9Sxh35j4fzB2fMXVmjWbZpaCAP2f9nNWoBCGKQ0SOnxwMFN/Nx7Pd506zJvf8Uyu7dFnF9qEwZ16mFAI/Rp1j16dUlr6DPV9OwFM0zZNNYMx4beKGR5ocbpU4Yo0Zw5nxCGBhAEyuBJwWCoEPgkA4/n7BLs2Wq4ZNuAcdrjsw8o9h+e4dXPDbnxqhXe/1lDIBrs2jbg8XsU26YVG9oDaqpOFPtc7EGz5rF9k+DR/RE3XlHnpTcs8sefGhL4LV71fIMfDvji/RGfua/J08fqXLq1wa4tKfMzEbs3xFy7K0UpjacMYGiEIfPTIVHs0xsEPHnItyUKQwvE/hD6I0N/YL97b5jSHxq6Q8PqEBYGigsrhsZUh5987QL/6NYx11/a5Nxim06/Rq8At6I/VAxGkuFIMBxbAogSuOvuB/x2e+43Nm7cvPyyFz/v33S7gz9utxvPKr6eVYDHUR8EP3T22D3vPLbvS7PjQY96GGAyJ8QgAAXCLjVCgBS2k0ZJg5IpgZQ8fmieRw42OXT2Im96YZ8XXj1iutVmudOg2a3RHgb0B549OSPJcOQxGHuMxoZRpIliQxwbktTeoyTAaJBK4HuCWiCYbglmWrB5g2b7pgEbZjp87iG46xEfqad49XN9nrO3x91Px0SjNrc+R9AZDrm41OSWKzQbpgfUvZBRoljoxigteM4VHo3WmIcP1HjJjVO84PoeDx9QYKZ47tUB//w7lvnCoxGff6DJvpM1LplXbJ6tM9NqMNWCegi+Z1AStIF9xwRpKogTQZTAOMZ+x3HKcKwZjTWDkWYw1vSH0B3DQl9ysQdjPeKVNyzzhhd2+L5XaZKkzfnFJt1+jd4woD/06Q8VvaFiMBIMMnAPR5rhOGUcaYZjzcWls5z9y8/O9ofJ//OPvv2lXrc3eG+79eyB/FkDeDReQpD+84XTd77zwokvbJT0aTZC5NiuagJASAQCIRRCCKQkAzcoZfCUwVeaui9YHNT54Je288VHurz42lXe8cpVrt3dZ266wdJqg94wZDD0M2Are48E41gSJ4IksUu9yZYLJQ2eB7UAGnXNbCtm28YBCX0OnYn50J01jp5qMh3Wuflqj1uu63L/wQ6339vm+ZfXuGTLgA98SaBESLsVs9ofow0oAfPtAd1egE7qvOHFF/ngZxrsuVDj9c8fEMVL3PnEHHFa43lXb+T1N3e5fEeHLz484PFTDR47FrB9VjLbFjRCQeDbi1AKEMKgDWhtiJPsYo0N49heyKMIhhH0RoKVsWC5B8IbccOVq7zj21Z58dUpc+06K90GnV6d3iCkP/LpD8uVYDCWDEcwyC6c0ShlGGlGY8M4gsQozl7o8L4PfX7jIOKd3/2dLzLnLi7/4ZaNs/97ANws/ycWu1cwXvrrH4hGw3d1Lzy9waNHvRaCSDLe9hDColwIiRACISRKekiZopTIlmeNrwyhZ6h7gpWRYqkzw4fvaHLfk31uvX6Vd7xqlRv2dJhL6yRJyGBUoz/0GY49olgRJ5IklaRaoI2wWVBhCANNo5YQBhGBP+bM0phPPSg5fDrg2OkZlA7ZsyXgqt2K5+7tosIFnjjSYtt0g2suhc3zKyx321y7TZJow+ceCBkPJNPNhNc8b8Qn74w5eb7FlZf5nFsd8dRRnx2bZrh+9wJ3P97jnqcE4yhg7+5Z9u4I2bu9x5Fzyxw+Aw/sb3DoaJOGJwg9STM01HyQ0hKDMfZiTVIrHaJU0B8LuiNBN4ZIJ2gz4qbLu7zj27q8+NqULbMho9EUS50avX5IfxQwGHr0R4rBSDEcC4YjyXBs+0ZH49R6/GML7mGkGUXW0YlSxcVzXX7vL7688cFDF99VbzWTX/jdz7x///4TfOg3fvQfLsB/6ld/G2Y+iOjwfTI6/ltJ79y0L0Ma9RpCykKCCEHG2li2lgKlBJ5S2aPGUym+Jwg8TeAbQt/QCFKma4Le2GelO8NH7mrzpcdGbJoZ8LaXddi7Y8Ro2Oea3YYdmxXj2CdNyzS/wCClxvdSTlwwHDsvWB1qPnF3gzOLM5jIZ6am2DrnsXOzx6Xb4Jo9XbRc5A8+2WR5eYrn7/W4Zk+HLz4mEInPxhlJs5EwiAOkkWAkygvojAQXlgVXmwYve26Prz5cZ+uGgOdfM8s/+45F3veZHg8caNIf+Syttti9tc6VWwY874oe3/WSHmeXl/nE3SFLg5AT53zOnAnwlUBKu+ppY0g1xNqQJpqZuZjrrh4wHsfs3THmLS8bs3FKMdsKieMa5xZqDIYBg7Fd5YYFsKUF91gwGmNXgnHKKNKMo9RKoNhkIIdhLBhEglHqcfZMlyf++p4N1+ze8Fu33Lgx/tBvXPbny6d+ldkd//4fHsB/9Jc/QOvm7xP/5KfkW7dPPfme73npU41rdodWWyMzUJcAl8IgpZUKUkqUlHhK4Kns0RP4XkrgCQJfU/MN9djQiAxTtZSZumAQSXpRk2Onm/z6n8+CThBJwnOvG7B7c0SSgDYaY2wSRwqBVALPDzhwMmDf4RrNmkcrkGxoCObnJBtnPbbOK3ZuSbly5yqpWOK3P9rmxMlpnn+Fz95dKcOkx71PhEzXfeamDNOtiEbdSiGtJZ2RYrlvWOqkdPp1XnTNKg/uG7D/pGK6XeN5V0/zw29Y4nc+Bg8fbtIfGlZ7HheW22ze0GDjzIidcyN+6q0D2o0Ojx+DA6ckvm9QyiCEJo/OjYEkgV2bU269NiGNfeIkxJgGo8jn/GLAcGxXtFGkCvk2jASjsWAUWdYeRzYrOx5rxpFmFOvsPVMw9zAWDGNBLxKsxIJeokkHA+Leyek3vWD+Pb+ztJAQ/MsP98+2THPrv/6HA/B/9asf4pJtG9QTd/zJmw8eX3n/nz2wWHt0/zS//uNd9u7oI6U9KUJopAiR0qCkj1IGJRVKqUxvS3zPas7AV4x9yTjShFHKODbUY8041kSRoZ3AONaME4gSwSiWjNOQOK2x/3CTx/ZDagwW2lYb+xICZWs+WiFcswXadZhqSmZairlpj42zcMnmMVvmV4nNMr/90SmOHJ3ixksVl26X7Nm+wpefSriwNMVzd0tm2ppaMCSUIUYJklQijCFJI1b6NS4s+dy4t85zruhx98M1Ns0IGrUWN16h+ck3L/FbH9M8dabFal+z2lMsrHhsmG4y064z056i3YiZb8bsvDEi9BN8L0GpFClsMGGwF1UcKy4ueMSJIk4UUawYx9ljJBnHknEkGUWScSRsgBoJxpFhHNnjOo5SoijT9LF9fxTBKBaMYhgU4Jb0owQ9GvCcXSu88yeWeNW1Zxu9TvD+VL5fp+Kyjy6f+L10duePfesD/Jf+2weZaQXq2Mkzbzl+/PwfP7TvTI3WLJ+938f3JL/8w6tctaOHkilSaQtu5aOUto/S4CuD7yl8z+BHksAX9iT4gnGgiGIL9Dg2RElqXZHEuaeQpIY01aQaq7c1BbhzKeRJ8H0IPUEtFDRCSbOhmGpIZqYEG2cTdm4e0Gqu8tGvRtz5xCyri22uu0Sxc4vP5TtGpGKVzz3QoOl7zM8oWo0RTxyBp496XLvDMBgrrr885ro9hvPnUhZWAoajBq+9ucdXHh9y6IyiWZeEQZtrL9X88g8sccdTQz55xwaWuoadG1NWOh7TbcVU06fV8GnWDbVQEwaa0EvxlJVaMmutNAabsNKCREuSVJAkgjiRRIkgjiXj2DovUSyIYkMUwThOiWJN5BDHOHbvFtzDDNzdWNKJYTCOkXGfG3et8Is/sszrnqfpD6YZjI7V8Jt/qr3GP9Vy/q9OHXh/uuPKH/jWBrhEy4tLnbcfO3bmdw8eOFmbanh0E49YSP7mHkU0Vrzl5V3e+so+M+2UntR4Ms10ttXDvufhxx6hpxj5lmnGviQKBFEs7MmJFXECUSytg5CUtl+SatLUugupyZySzC3J3RklrewJPEEYSGqhpFkXtBuG6ZZm0+yY+ZkeiVnlw1+RvO8zc2ys1bjuEsElW3x2bdXs3LLCR+81LC/X2LtZMdOGViPmwnHJxZWQYDeMY8H8lGR6Gg4dM6x0NecXa1y+q8YrntvjU3fVmGtBGAQoOc21ewQ/8vqL+PIif3P3DE+fqbGpG7NxOmGqqWjVFY26pB56hAGEPniedZikACkckGMv7FRDmgqSlAzoEKeGKIE4Ti0pxJoof4x1ZjvmrkxmQSZWkvRjQTeR9GJNNIqYCrt8z2uXeOvL+rzqRuj2WwzHIVEcMOqeqMla/T1+PfCE8P8CyzPfmgB/zx9/jETrH7jr3qP/9dChU+2ZumKYGJQQdIXPWLT43AMe9z5V49zKEv/yuwbMtBPGYY3uoIanAnzPx/d8gigl8j2CyEqTKLapdMs4wjJRxkpJAnEKaWqdBK1twKW1yXs4M3BbgNvAVeB7FiC1EBo1TaueMN1KmJ8esmFmla/uj/jT2+scODbNrimfPZth++aA7Zvgyku6DJIu9+9rU1c+8zOK6RZMt8bMTCUEgYcQ9uIajgOWuzGrA0Onn3BxJeCSzS1esPcitz8w4MCZNo0wxlcBQkyxZ5vin7xqkZuuvMif3t7i/ienWep7bGwnTDcSGjVJvaYIfUHoS3zfxipKkdmHFuUG28OqNQXQk1Rnq1tmLSaaJLXgTmKIElPes4TOKLGkMogF3UTQS2A0StDJkLl6l5/47mX+r+/t0wgDOr064yhkHAWMY58o9okGJ9te3fvt1uz1waEnPva+y69707cewJdXOiipfuj3/ugj7zx58vRcsyaIU8sqSoCXgXwoJatjj//6lz77jqzwhpf0edkNPTZtiOh16wzHIYGfEAY+48gjDKy9lwM8jiVRYpfdOMk87ZTM+iNjbok2lOC2ScqMucFTNmES+IZaoKnXElq1hJn2mC0bulzoDHj3J3w+9+AsyytNLpsXXLJRsG1jwPaNgt1bR3jBKh+80+PoqSZXbJLMtCRTzRQpx5xZMISeRAowRhDFHjs3dnmAlO5AsdI1XFiuc8X2Gt/1sg5/9cWA4xdCfC9GCB9tmsSJ5Lm7V9j5vV0+9/CAD3xuloeON9k2I9jQTGnWUmqBIPQFgW9jFU9hA2cpipoMg73ItME6LakFfA7yJLWSzoIdotTWukR58igRDBPoJZJeAsNIkw7GbN/Q46U3rvDGlwx43c0aTzRYWa0xjkOiKAN27BElinGkiPrn5rz6nnftfc6b1WjUeW+t9r9m4tb/EoAvr3QIAv+ffea2O9/56ONPbQw8g5QClWQAlwYlBb4U9KWkJ2t0Io8PfrnGHY/3uHFvl+991YDXP7/D3HTIcBQyHAeEvk+U2AOVB0pJoohTSZJI4lSQJJI0FaRalFpbCwpVYnK3xiaLVJYsCnxNGKTUw4RWfcyG6T7DeMgXnzB86MtT3P/kNDOBz7XbDFtmJZvmArbOS7Zvirh02wqPHx/yia/MM6U85qcE7aag3YjpDFI+c2+NVmDdIW1gOPZ4w61jPn2frYnp9DUXVzy2b2zxphf2uX9/j32HApphgpLCglw3GEVW6/+TV3S4YstFPnhHl3uenubkSp3NbcFUzdAINDVPE/jgKYGSZAky+73z8iOdSTWtyxUuyYBuCQLiVBCnGbBTwSgRDBJBP8XGPFFEsz7gTa9e5u2v6vLcK1I2zfgMR026/YAoDhhH5TmLYhvsWoISnD65f6MX3vvOPXtfrAf97h81mt/8xolvKsBXVlfpdvtIwfd//gt3/ZdPf+YLc53VVcJAoQr2tqllKcATEEgIJfSkz8BXnO6GnL2vwX1P9Pmr63q85RVDXnPriNnpgGgcMk4sG8SJR5wBPUkVSZolbNIS4NpkzK3LmjKR2ZBK2joOz9MEfkoYxNTDiFZ9SMqQLzws+fMvTfPksSlEHLJrxrBl2rBhWjE/G7B5g2TrfMwlm7ucWujxe59skozrbN8umG55tJvQbsQIP6I7bDLdMgghMAbiRDIbKhKd0IsDeoOUla7izEKdqy9t8aPfucq7/iLkxEITT8XZheGRJDVGkWTzXMhzL+ty3aV9njpxhg99uc7tD01ztlOnGSpaATR9Q+AZfAWetMdciGp1nQaMthddqgWpgSQV1j9PBVFqk0TDVDBMYZgYkiRBx2PmakNe+8pV3vbKHi++Nmaq7hPFTVY6IeM4IE68jLVV9lwRJapYceNEMh506D/25Y2plv/l0stvThYXzv5Jrdak2frmsfk3FeDD4ZB2u/nG+x548Hduu/2L7X6/S73mkSSmWCZzf1sKe+C91BYzBUpTTwUDFTBIPC6Oa/zNfU3ufHLA8z7f5199d4+rLumycVrRbnhEcUCU+CRJCfI0B7iWaCMxxkoCUwSUWapfGRvEeglhkOCriO4wZqEb85sfrXHs4gwP75vG6IC5umDjBsOGKcFcWzE37bNpTrJ5LmHb/IC56RU+94jmoaenuW67YKYlaTUk7YamWY8Q/pgw9PCU/fvGQJpKhmOP4Sgm0YLeUNPrG5a7PueX2txyZZ8XXL3KBz9fo76s8GRsAWk8kjQgim2P54bpGjft6XPTZX0eeOlZTixI/vT2aS6uNji9FBIoSdMXBLkMk5ZkCiLPpQqWyRMjSDTEWjBOYZRApA2kCSQxUo3ZOjPkup32fNx8VUq77pEkTTo9C+wkA7ZdYb1MNpbgjlOZPQqSVDBY7fHQ/V+eS1Lvdy6/8oaV8Wj4iW8mJr9pAD948BBbNm9Wf/bnH7xs3/6D7V6vQz30SFKDEiBTy95xaqWKkgYvBS8V+MoQJIZaKmgowVAJBl7IMPVZiurc/tAUX316SDMc809f12H7XMKurUNuuaaHJ2yLmBBWrtispK2VNsZhbgxCGpSwnrkhAZnw1DHJg/s9PnV/i6dOtoiSBi1PMV83zDYNMw1jffC2x+yUx9y0YPNswtb5IVvmV7jzyTF/8KmNbJn2mG9Du6loNwWtRkI9HPPVg4pR5OE3LaiMEUSJpOYpbrhiyH1PTNvCp2HKatdncTXkwuIMP/r6C5xeXOK+R+fxJSBiNBQAGkeS/tBjplVjut3kBVcMeOl1A7735QvsP6X59P017t9f5+DRJonwGI8Vg1ihitIHN/DMcgJGk2iD0RpfpEwFETViXnBjn91bRmzfEPOO14ypB5Jm3SeKGnR6QbaSehnhqMJrt3e59l7YlBbk3ZUuDz94d/vChfOXveb1b1HHjx1Jd+3e8/cH4Pv372PD/Gzw0EMP/SAm/a/d1RXqNZ9UmzJDKS2LS2kZWyVYiZAavAR8KfC1IUwNNSVopIKxhlHqM0x9BmmNXi/lv3xwBpPEbJofcfUlI+amEt7yiiGXbIyIY5HpbQkOc1N8Bo2Qgo/cUefxI02E53HibIMzFxrU6oqpUDDdNLRrmnYNWnXBVEPRbilmWh5z07BhOmHT3IhtG7ukZpWPfKXNsN/k8u2GdkPRakhadU2rluD7EZ+7r8Z4IPE32m7RXKI064rXPm/IXY9o+mNJf5jSHXis9jzOLzW4aneLt7y4y8NPNTix3EJJDcSZXvaJU8U4tomZ/sij0w9o1Rs062Ou2j7i+VeOOHWxw/Fzq3h+ymNHPf7qyw2EsoVrTM4fNBrQYAxxlLJzU8LbXjFkQzvlyp2GTXOQJj7jqEWS+Kx0fZJYEadeFgdZQOcAtzGRzGp9XAOgNALiRGRy0uPiwjKz88l/fezRhwfbt+9834H9+6Ir91719wPgZ06fZnFx4YozZ868+9GHH5K2uk2SpLZwSUlDIk0GbkiyFHyiBV5idWKcGvzUasDQM9RSQ5IKIm2IUsFYS8apJNI+sYaFfpsvP64xpHz8fjuyAaOze57FyywykVckSqRSJLGH1B6+J2mFsHve0PQ1jVDTCKERCpp1Satu5dBUSzLThrmphPmZMVvne6Ss8Jt/XePuJzayZw5mGhl7NyStekKjHtFsDKnXG4RKomSmwbFyII59RkPBcJzSGyvbtTTUtmWuGXD6whQvunrMT771Ar/xVx4nV0OE0BgTo1NDnPhEsWQ0tmWsraFHsxbQqNdohA1qYUyrHvHcyyMCP+bmyxPe8coBnkqyJJC29fauKM8kndYSISShr4CA0dhjacWzdTtpHvNk90SWMVBWuJaDOwd2nlhKsqC1fG3Pt/XjDQ88+IBMtXx3vz/4yng8fvKbgc3/aYDf9tlP0Kh79ePHj7z54KFDIggU2ojsIFpQ5+BWyiZgpDKoFFRqtWGSgpfa3sckj+jTLKrPI3stytdaEGlJYiSp9oh1SJrZXu6tyFJmtqQnwVdQqxtqnqGmUkIfQg9qgaEeCuqBpFGXNGqeBXhTMN3SzLYT5qbHbJzts3XjEn/wKc0Hbt/EjmnFhpam3VS0GopmAxr1lFY95tyS5si5kFpgL2jIK/0Eo8hj92bN5g0juqOA4chkLC5Z7Xm06jVajWne8cqLHD13nvd8Yhue9DBoUp2SaEOceIwjxTCyRVGDmqQx8qiHPvUwpdOzMUbgpzZh5qd40jZKSJlmdT/GaSyxlUEW5IKOzqostY1r0lSitSTRZbxjAZoH+Plz5zFj6RLcNskUp4I0zfMVeXArePSxx0WnO3jzjkt2Hvnrv/7o8Lu+683PLsAbdS/orF782dWVCz+LHsswkPYDS1kAXEpDKg2pzmq5U0GayZNEg5d9yTRPPmiTvTbFe+XzslLOermiCJRczQ1kmTyTBbQaT5LVtICvBL5nrG/sCWqhpBZI6qGiXlO06pJWwzDVTJluJcy2x2yYGXDJpiXuPzjmg3dsZaYWsqmlaTeEBXdd0qxpmrWEVmPM/Qfgsf0NLps3me4t0+bDseLmKw2XXzLkgSenGYxte15/6GUg92nU6tRr03zPS5Z57OBF7tu3GYxC69SWwyaGJDZFPclw7NEYGeo1RS3QhIFPGKSEnsbzUnzPZoeV0lkRm11hEQZBqefK4NyWEOvckdK5/epYsTmwtQVx+ZoC2PndElj26NyLc53CeDyQp8+c/b+DsBY0G81fAaJnDeDD4UBG49Ev3vbpD/6b1eVzQRh49gNLkKkgFYK0AnALbJUlFVJl8HT2XNsGWp1SPE/zjJvJM28GnWXi8mSFMQYn815ZcfNUdZ7QUTLLWCqcoi2b/QsDRS1U1ENBoy5o1Q3tRspUM2G6NWZuasjW+RXuOzDkF/94EydPT3PpBs10A9p1RbOuaNagWUup12ICf0RnZIvFfGXjj/yW6lyLBrTrMYNEM8jqrAejlN5A0qkrGr2QWthi1+aYX/7BDv/x/ZJ7923CoNBGk6aaJE2IEk0UK0aRYhhK6mNFLZCEgSEMFKGn8X3r93vKZHU+2aqayRQhTLVBN0vtm4xETFbLkmaAT3X5aAEqs0dRAjx7njpSJE++2QsgI62snEKnhlQbTpw8E9RqzZ/+Zz/4Dn84HPyHer3xd07n/50BPhx2MSb+laefuPv/WFw4WasFktQYpBAkWXIhlfaKVVKQqBzIBi0tuNMM3Dp/rgVamyKNrAuPFow2tos8KwF170wAPA9sRQ5ukdeUW0nkZa1ovicJAzsAqBbakQz10NCsaVqNlHYjZqoVMdsesnV+lfv2D/iP79vAgZOz7Jy1DkurLmk2pGXvuqFRS2nUYuI04s8+30IqhS+tk1QwuMmXcJ9/8uoVbnsooheFDDKA94eKXl/RCT1qQUjot7lyR8J//udL/ML7BPc8uQltJKm2afU4sYVm40gzrtly1zAU1HxBGNjMZuCZImPrKW1loixt2wLgZcoTyEgEm0uwbksWyOcAzqYO6CK5RsbuFCtuvjqXADfOo4OL1K7yxkgOHTleu+3zd/6fr3vNK8Xqavfnpqf/bkmgvzPAL547ijH6BaePPVRXYozwlV02pbUELXuD0mSPglQK0iI9nIM7lx/2PV3USpTtVxbowtZR5KDOD/zE5yp7N7M6E0lZTJXVkVuAS3xf2vqNQFAL7cyTRpjSrFtwt5sR0+0h89Md7t8/4Bf/aJanTmxg+4xgrulIk5pHs2brV+q1hHoY4ftjzizN4CuBkjqz5cogM00lSaLYMmNIkphuXMs6ZTTDUUpvJKkPFLXAJ/Br+N4Ue7cn/Od/tsC//0O47+mNpFpagKeGOEkzJteMQ00tkowCVUgw3wffy5wrJW0uQGbulgCRPa6DcStXyJJCiCI5pLPkUJ4tTlPnfV1KztQBttbl+S5w4IA8f28wHnPHVx6s79696wXyf2LHib8TwPc//ll8NW7c/9UvBNG4QxiIorBJZoBOVfbFUgt0rfP3LNC1NqQexReqAjuXIaYAusnlSP78GT6bFGURlZTYEoEM3ErKrFEilydQ8yEMNPWaoR5a/dyox7QbEdPNIRtmOjx0aMQvvHeGJ07Ms3VaMd/UTNUFrZqkUVM06oJ6zV4cNtUfcd8+QX8UUFNkF5nV4HkTQqoFceLRrCluuabH/U+1GcRWpgzHKYOhohcqwkAR+EGmn6e5aofm1374Ij/z+3DPvo3EWhJrnTVLlz2Y40ASBtqyt1/W0Xsqv5PJlFLG5c0m64E8TwqZHOAZ4NPCeWHdlVdn+lo7JJamJvv5ekAv9fji0iof/PDfBN/x7a9r/PmHPz34vrd++/96gHeWj9Ge2Tb95EMf/z0l+i9RMrX2m7A6s3LFSqu5tbNsWcYur3KtxPqs7QBaF8Aum4LJtHdxMoTNlAqZgTsrMlIFwEFlFYO+B4GP7QQKsgKrMKWeyYtWfcxUa8hMq8ujh8f8wntneOz4RjZPe8w3NFN1aNYEzbqiUVc0CvZOqYUJrcaIOx8LWO3UmJkp0+Q5YHSmTeNUsXFO8crn9LnzQW27aCLtgFxS8yU138P3AjyvjpSaq3YY3vnDF/mZ3zfcc2AjsfaIswpAW/ZqmTyMZVFdGHgSz8uKsKRAefmxofh8+UWYSxWRV6VRJoQm79p51Np5LFbeKrjdys7UeV3GX6aIu5IkZWll+JIDh4794Q//07f82L4Dx1evunLX/1qA91bPMugt/kxv5cjbdbJAGASkWlsw5x9QTixRWmQ6O7/Kyys+lx9pIUMo2LsSSE4yd4b0PCNXaG+ZV9CVujuvGPQUtj7DM/i+bSyuBZpakFKvJTRqMc3amFZjxOxUh4cPjvnZ39/Ao0c3sXHaZ2MjZaphMnBn7F2T1EPL/rUwoRFGJHpMLwoRSuLnDF5ocJGxV+YXxz7NYGTLBaIaMznIRymDwDJ4GEhbE+/lG9Aart1leNePXeDf/a7mnv2biLXHOBVEqc5YXFCLNaFvCHzbu+plcYenbImwkjI7PllXfv7oFGYVF6Yb60yAuyAhh5hccBdxlSmfu+/ltfoFq6clCZ48s0hz37G3f/XeR46Mo/hv3cz5twJ4Z/k07eltOx/56h9cN+ieI/AFqU6RWmR9k2WgobQpgxBtso6SvKjHOAAXxYFKtXvAhMMUZVbSuGtmztpuUJkvt1mHjsqCKc/LOoOyIqS8erDmp5lujqnXxsy0B0w1e9y3L+Hn/mADjxzdxPyUx3w9ZapmaGXgrtesnZiDux6m1IKEdjNi33HDHQ83CaTEVzoL4kqPIl++41SRaI+XPTfmskv7HDlZZ75B2ec4ThmMMhb2FJ7nZ5WY1ru+Zif82o8s8u9/X/OVp+YZxXWbDEsMjayGO/SxIPfy1UsXva1SpcUKp6RwAC4ckLNGr5QgN1WAFxWK5cq73spcsjtVBndkTpr9DKE4duIcX7jzwet+6ed+ZOeRY6dP7Nm9/ZsP8Hh4Eq/W2rV49q7/TrrwRkwP3/OQWtsAsmBu65MWgUdhLxl0mssRsWZJy/1hU3jaEy7JGrckY+5JcAuDVLktmNW8qIy1PUPgaXxfE/qaMEioBQm1MKJRGzM7NWClN+CuJ+HX/nwzjx/ewIYM3NN1Q6suaNZE4ZVb50Vb9g4swOvhmChNGQ1r1JS9yKQQlUq+PJFiA03PanlvzDgyDGPhAFwTBCmB7+H70k4VkH4BcARcv1vwaz+2wn/5i4R79s9xttNm1JRMp4ZWYqhlEwdC32Tef+6kmIK9c6mSA7z4vNmHdnFeKMTspOSragnuqqS01ZwO2CtAz63fcjVPHdDnhLjcGXDq3MobP/aZe9IX3fqc/3P/kbPH9+7Z+s0FeHf1OKrfeH5/5Yk3x4OnqIcNK030Wl9UF5af857J9HYmRSyoRba05QmbqhRxAZ4fYlcV5ifBjnvI2bvsxi+HA9myWN/T2ZiJtAB3GGTgnu2zsDLknX/W4BP3zrPYn2F+SjJfy8Bds7q7kQWW9VDSCE3G4FZ718IIiPjSowErccBcSKUeG1FdodLUNj+0Q49X3DjgvgMRvThkquhY1wRjW6seeBbgnrIN2ULaBA0G9u6Q/Ma/6vLp+4b8yh9t4vTiDMNpj+lA0Eo0jQTC2I5eDpQdaOTngaYURRCcP7qBunthClH0ihTnByYkpAtsJ37SDvjdPMYkyFM3QNXWlkyNx90PHmLDxk1vbrebf9btD49/Uxk8ivr4fuPyCyfv/NfLF57E9yVKp2WCxghUmqV088xXzuBZBiwHdKG1C1DnEsSUNtQka7uyJDvQObPk6ebcBVA5wJWx5bhe3ttp+zsDPyXwE2pBTBjEtOpDPG/AnY+l/OFn2nzq7o1Eus3GtmBDzcoSawHmPrnK7iJjbpe9YzxvzFefnmYQeWxp5J9nksHz1c2WktZ8xQuuGpJoC/BhLGzXet65PtY2OPSy2TCZvZcPtzMINkwL3v7yPq3wLH/0mSF3PT3H+bjOoCZpJ4amZyzIvSwOUSaLS0wG8vwYirJ2XIKkZPHJHQULqZKPqGBSm7vdQ2Xtec7o6TrBaeoQYGpKuYL0uPv+p3jxzVf86zd9+4se6fUHh1rNrz8S7usCPB4cYvXcJ/DD6a3x4MBLpV5EeD5ap7beREuUFmgpSbVBmZK5tXYlScneFTmSa22yZEIF2I714NpXwkxIkzwrZysG7Wg3ndV8Z+BWthYj9GOCIKbmRzQaI4JgwJ/f7vHrf7KRIwuz+GGNzS3BbJjSDg3NEJpZh309tNnOWpYQsvUrabYSWHmy2E3pRwGBUgSybO7A+Sr5hZ3XbkSJT90fsXl6yOqgxTAW2bg1Gyv4fprZfCqzO1U2asMNXG3l4xtf3Ofmqxf4tT8d8YHPzbOcNBmEPk1f0vZsDU7oQaAomiG8POlTzKERRRY4TwC5pFIVKy7QqazA2lSlZqnNJ+5rzAY3e229doTi9PkOt929/6WLvXTr4lLn0ENPn+Kmq3f8TzK4SZnd8opdo85jf8DwIRq1lDTLohktSY3OinE0npaVdK4xVYlidFnfkAePxUFAOJJETEiTHNymZJMs+yZdgEuDyoq8SuZOM5AnBJ6VJGEwJvSHHL+Q8J5PN/nYV+Y4emGGdsNntgYzYUorNFnqPQe3zMAti6RQLdPeYWAvnHZzzEe/6nHoRJ1aNoGraBejRHkxxsFYHR4nHnt3wnfc3OMPPztHv+HRzmaPhFEWNyiN58lsbB0OyH3nXNlV4ZINkp/7xwOu232a3//ULEfPT7Gc1Bn4Hk0laGRAD6SxF07mMhWrX35cc/sQq8/LTKdZ65PnxJSXThS++VpL0bggNlWToZAnGdjTLHuaahhpj7+5+yA33XT1H7ztjS963cWl3teVKl8T4GkaIaXPcOWu7VH30T3oRYKgRqrjorpMmbIQxzb3irXPK8U7FOA3LnsbURmVbLITRs7YOchFCWz7WBZ0Kakz1yRn7xTfS2znjpcQhmMCb0wvjXj3hwP+6NObObM0jVZ1ZqcUs4FhKtA0MuZuFOl7mdWpZNIk884LcAc2ezmOIw6dDulHITNh5uLkSafclcizsMapSYk92k2P3dsjVDiiF7UYBoJ6bBjnAPfSLFGjrI8t8xLg9YJXxfzUgB9944A3v+w8f/TpLu/5yByLwyZDr0bNUzQ8QV0ZwsRYNs/6ZD1ZljfkWc41TM46cmXSYYFqLJXLEIfIXBYv4rRClogM3FkFqRGM8Vi42OXz9x7Y02zWtr/9tTceH41jaqHPM92+JsB1dBq89ryU6sNR927f8wTaxAitUFqSSlnUD+c9kCaXIy6L58U6ZgLYGeBLxhbPkKE0jh1oCmBX5InMquRUagHupXgqJfBjakFE4Ed0RhFffVzy57e3+chX5hilLYIgYC4QTAeaZmBohIZGUIK7FkrCUBJm0sQmhjJnIgN44NvM57FzhrseahDFPmHTrAkwi+NaaHB77KJY4fser7y5xwe/0OfA6SbDmh3NMPYNQQJ+rPEjjVLWjrUyQpbDfSiPZ6oliZY0Qo9N00P+3fcMuOqSMR+4vcWD+6ZYGDYZqQDf96h5grqEMB+wlNur0tYVFQVrwjn+GZNPFme5jJ4T1KQjlr8utbdw2Jyi3ijJCcBApCE2gthAqhQf+cJj/ve87sYPn724+pyFlf7C35nBvdqM1OPHnq+7H5/yvS4GH61tgKmNxNOqCCRVNsBSZ4CvgHtClhT3HNiZRHEZvFL4k00MR5gskWNHveXlnlZ3GzyVWoCrtJAjnhfT6cfc/aTgjz/b5vaHp1jutJD1Gq26Yto3tANNwzc0AkM9IGNty9z1UFILFLVAUAvIKvR0Bm5N6Fv9rbwxB0/DmU7NJlYyfVtNnJT1M7YP0oI80ZIo8tjUFly+Y8gTJxMGsc84m/EdRFjwqXyybp6ogck6jfziyW3IOLX14W975ZDXPG+FLz7S4/2fa/PgvjZLvQYdGdAPPAIlCKQglLYR3JN2lzolyotUiazsdx0GX1O/MsnkDqFpnMDTCFKoyhEDsQvqzI3JG1rG/RG/+Se3Tf3o2175/JfctPezfI3hQV8T4KdPnwxJ9e963aeaU7UxSVbpZeWHrUvWWuAZt9HXAtwFd+W5znWoA3DngFR4oSJNTKVA38oSnWlujZKpHYifuxkyZqGXcOdDHp+5u8Un7priYreJqNXwWz5tD6Z828lT98lkB9QDkd1lVnKa6e5AEObsnQPcSwiChFoQYUzMlx4OOXGuzoZZgS91pmNF2ejrsJ1xLNQ0VQzHPjs3CV5544CP3RvRj32GsaDm237VIJssVa5SqvCr7Rx1yuNqRHGe0uyeJB71cMzbXj7k225e4uNf6fHpuxvc+XiLi50GQxEwDDw8X+EJO9LDlxJfmExqGRTCkYZV+3AdMq+4YCVziyIATScY297L17q4MrJuLZ2CSTBpwvHjTze3b3jh746Hx64Chn9rgK90NHE8/L59T98xfcX8RWpNRTpOSbQkTb2ssbcEu8olipEVWZK/zt+rnASwvZPr1ARWAkoH2HZAp5UkIgO456UEXkytFjMapxw4A8fPKj70+Sk++2CbiytN8Gt4bZ+GkrR8Q8vT1H1D3Yeab8Fd8+1MQltmKp27yH5uMpDrAuSBb9vTjpzVPHEsBN/PlnnjpOhFBQVuEGbrpQVJasc5X7t7zNXb++w/02BYEzQSQRgbxorM2tMZe+duSm5Bllql8NmLpJvKpg/4jCKfen3MD7x2zBtuWeW2h/r85RcaHD9bY/+ZBtFqSBJ6jDwPqexUXwV42WPO5IV0oQz+19wKN6UEtaYEtYZCZ9uf2cbnQrSbNMsCJkCaT3GCKKV7cYVTJx8kGbW+Fkc/M8AXl5dFFI9/8iO3PzW9Z2uD51+ecPOVMYEPUsXoWBJFCq2VZfOcNQpAu8CWpe5GZKDGeZyAdx6pF5rPJjWsJNHZLg8pYWgnqSZpyvkl+PyXPY6crnPH/XXOrNQ5crYJYYhqeNQ8RdMzND1tXQTfDs6v+XZcmwVxfpfZXWUAJ9PcGbj9lNC37G0vrIhjC7DveANfVu3BQqJQ1oMXjkLupOisrzHxuXrnkMs3DnjyaMIg8WnFgrEHQWJnAioH4FIKhJQVJodJ+00UwWzeRxmnPmM/oF2P+CevHvPi67qcWenypQcCjp4Kue3hBmeXaqRDHy094kAhpLQrRdaVL8kynlDIlvVAXgk0cbPUuduSa1Tt3DPGJgN0nEKsEV6KVCnPu27M8y8fs6F+z4aX3PIz/9qkh94l1OXrhm/PCPB3/v5fksQJH/mbi8AGdm9PuHZ3xEtvGnHV7phts5rLdo1RRpLGsrIkVoGeS5EM2A6L52xd/WTGidhL1i6kiErxw5Q4NRw9JXjiqOLz9zd48ljA08fqdMch4ygEP0C1fUIlaChoeJq64wOHXl6nkZfN2rrwMJMlQaAIApldAKbU3n5qM4u+1fm1IMboiAvLkrEJ8TxJIA2eY7NNEHgB8rQI0K0jFSU+Ao/52QipRvRjn4EnrNMRlwVjntKVDKQUThSbDztCYLQsmdwZjOSnqhg/MRgHbJ6JuGRTzHMvHTOMhvzTYx2ePB7w+ftqPHGsxtGTNeJEQagwUoGwBkORDSqSFOtolYo4z33g/FE7jxN3rSHWeKTs2R2zbTZh7+6Il9005tpLY3ZtSWgEg6Yc/M3bU+G/62/F4L/2h7dxYXFFfepLD4hhGhKnPo8d1jxxuM5t9zeZ8hMu2Z5w7d6IV9885hU3RGBsW1S9SaazJWhBkoE/DyQrDO5e8sYCmmx+ie8ZEBohDXFkGIwsox8/LfmL20MGseLRp2scPhWy2A8YpwF4ASgf1VYEUlBX0FCGmsKOM1NZ4ZGyrB34wiY9XHD7kiCTJWEAYUDmmtiUue9pAj/JMqIx9VrExZWUz9/TotMLmZkSeEXDdQnydZlNOwGhlozHig1zitfcMuK2B4ec7DQZ+tLKFA/8xODHuWedeewytXYh7qwTWfwNbbxKyUSaSoJUkXqKxLdjH+LYt1aqH9MMYl58bcILrhrzppeOOHhK8tg+n2Gk+MDnGxw774OQDIYeaaTy8k2MlwN8wjJy07cVgANGI1KD0AaTAbveTPF9jTCaV9w45tU3j7jmypid2xOmfNjQNois2TxNJXFvn9D+S1Xv/IeT1ua3fuMMvnFu5t2Dgbg+VjXwrNDXOmWh77OgNceWNfc8qfnw5xPmZxOMNtx4RcTbXjWyKfwU5qc0N1wb0axlK44RRQ5s7TkXxXCezkDw2OMeS11JvSa5f5/PJ79SYxQrRrHi3PkALTxi46OFD56HCD08KQmUoCYNtQzYoTKEytgacC/zfL2SuYO8L7MAt8p6NEXB3oGvCYK8QCst2DsIYpSK+PIjio/d20IFnrXbKvr7mRk898LTNHc8FKORzxtuHfKJr3b5wJem6Cc1mpkO93MdHudJGVN0CwkhC4DZPyUdre8AXGejHTzL5L6nSDwPL0kt0FWKUnaQ/kwt4dYrE265MsaIMW95+YBRbMe5/c1XQh7YF1APBYtdxWNPBnQHMlNJgmcU5cXOE7Y18IYbYjZM27IPnWre9qoRN1weYzTMzxhmZzSeLcpAp5JoJEm1wpjMmhbJ9UE4+25g3c1/1gB8YbnHhplm++d+6xNXRjEKFdrPqtNsPJW90rTRjLXmQkdzYdUOjTl4ssEnv2x/blLD1Izm+ddHtOq2Dnjd9KR7qWeuw2pf8eATAd2OQnrSzkQxnmUm4WHnAnsgPaSU+FJYMEtDKDWBtEAIFASqnNFnQS7KhgfPNgLkjccuuC3DZ2W1fs7gqXNPCL0YYyLOLAZE4xrhlCTI0t4qq8qrZDEFJXk51mnRna4VUewz01Ls2BARiBHDJGSYCOqeHYKZ15DkCS0l3fJWWfwt+zdyV0uX2VOts+aTUholSZrlDVQ2lz0hTlJUbHMJnkqRMmH7Bp2tGJqrLhkRmSHS03Q6ggef8FgdSFShWKpBdeVMZ8VYzZrmBdfHTM1oTGJX9rqyx87KXIWOfSJjP6dBljFd1uSshVEqGV45te3720nU7XpBtXdzDcCPnFrg1Pnld933+LGXn+sOEJ5vcSlUVS9NBgZoEmPo5EuQ0nRXDee+3HS+4noAd/VbdnKEQOdbLpDVnApVBjlSZlZWDuos7SzJNm7NfWPn0cs66RXZ1nsU4LZtXYogA3fgUZSYWgbPWNzTBFl21PdjwjDm1KLmT29rghfgS1EGmIU8EWsY3PWH8wSZBZsdrBPFPu94zZCP3znk6Qst+qlPI7Gb0toqQFN24qg8J+AGe3npYi6FpFPgld91UQvjeQo/tfNS/AzoSpZJM1s3nj0XOpt5k+IJgzApGxqab3+RBpFmMhMQ+f4Z65zzosZIgFaksUc+jyWJJTG5zWkfQRQmRmFc5Fa07hMP9r88GR59lzHJj39dBn/X+25DSRnsP3KOMDtJ1s7JgxeV1Rs462wOdnDAb0AZUt8B97r4ztktB3g1eLG7r9lASgnwhU0rh8JWC/rSvvYkWU1F1j2eFxJ5OHNQyHZmK7vqS4DLQraEgSla2oJAO4NzEvyMvQMvRsqIE+cFC90awvMIJRV5It2v5ZxuVzpUgJc5HVHiM9ces3PzkP3nxwxTj1EKYSrwU4OfZDo8oXCWyhS6qnQq5LGdnbSb11kLRxppvFSTKony8u3LVVasZreVUbK8C6lRGchF/rexU7KENIXrlQM9d8DWA3iZ3CvjstyUoJI/kVnQXBoWWmdkaDTJ+CTDxQ8F6+V71gD8wKGzdlzveETbs4Ff7l0muWeZXVGF5UOuPnLgu1T1tWQJWVeOU1gvBJIyRWynUoEvDL7IQJtJgPx58V5G9mUpKEWDbaCEBXsF3NI+BjnQ8+AzA3fe/ePpQqL4ntWnQRCTEPPpr9a5sFDHn1IEbg2H66AwoUjd1LVTfZknfUZjO8H29S/s89XHR3STGgPPo55ooiydrmRZEJUXnNmNvPK/lAeaedVmbh1mM1UMpMr+TU8LEiXwUpntYmdreZIM6GUyTRcJNim1k3jLnksX3JnNW+wV8wzn3ym0ozAhqLhv1bqlyfcMqUnQnFonnzIB8L/66G1MtWsves8Hv3LzcClh7JuiSdaa8MYx7W2K1U29Fn+cr7/xSiFI8mSBAJU/CoMHhdWmspSxnW9SalyVAzsf6JnJExfYxRwUhe1HXA/gecCZ624vlyUm09vVWvLAjwn8iPMdzcOH6+AFdgS0NEV6vmBwqiyeM1fpA7ulorLwxOPY58bLxsxND+msNBgkioYCP7HfRaV2gJKKXYBjQV78ITlRqSmyvsmsOE7ZhhVfC1IlSZUmVYIkA7lbvJaXQxQj+RxQ5yUTAp2BnKykOc9El0m7SjFGpX7FZXPnM/O1Aa41pGOPXrzx5vrsa1906Knvvvvya75tfYB3BjHjlG8XpDeQRtQ9vxjUU9ZtZzW9mAp76yKwsf8tzVpFIjL7xDWT8qs8z4qV4Ci3O5ks4fTy2oisBjwv9bTNxXmnipUlquheKYGdN99a9s40t0eht3NL0DJ2CW6/qE6MEcR86ishX32yhQw9Ains/O2igtCdz+LWUZcntajdcSowU61ItWI48rnlmiHf8eIe7/lUiygN6aeSWmoYJ2Qrl1v1pzM5pycuqGdictCezHohRQHuVEmU0pbRpcxGS2inFNmtATIlyCvZ5pzJ80XakaliLZm7I/fKGpZcpkyWdbjlH5YY4kijhLnBk91v18R3r8vgjx08w9xM8zW/+4Ev/uPHjyxlaWCyfWUsoCfLIPPUu3bSka4iMVSu1+zLOgyegTsHgHRAISlrHtzRBjlz2y1I8tdkDE7RhlVh8awbxldVcNtxChPMnfVsBll7m+/lDQeJc4+JiPnLL7VJTYgqspdugFn2NebORkWDM9Gup6WdDpXmwaaHwOdtrxjwZ58es6pjhmmNYSrwEwoWl9IgE1EUnVm7cHL9lJTWpHBALki9bHSDykDuGZS2csWO2bMVjDZ7XJ03qbIJtW6dUF6rUjSlFEAvpcpagFfX9grI85875R2VR2MzuqE8Sbt29h/PbP3OO+Lhsdv8+u4qwHUcE4+iy6J+f0+/22O6ERQ9fwVQnaVDZ3/ZTbW7gH6mmxAOkzvypAD6RHlmocUnNGcOene2h1Ki1OJZxV1l2E0GbE+J0kkp7EDbcW8bk03G3GWA6TnsHfoRDx+WHDpbwygfJSWB1HiTdRqOAJ90UfJ70emkheNXW5DHic+erTFXX9rn3oN1YhUwTAQ1CX5q8BKRybesCyfJdDjSyoXKnxQOiwtHGjmdM1nzuKd0MUNSZdKvBHdeC2SyMoGcySlWD+GAG5FPzFqfvde7mbx5lRLI7ipEIV8s8BGC0WjAaDTekyTxZWmib1vD4Ksry6TREC8dMF2zSRG3KqwSSJrq+5UP9jU+dsHcLpNPAt0BtypqvkvbrZQswnbPixLcNsgURbe4V4BbVgDuDv+x3fYUwC6ylQVzpwSeTezYrqAYQ8xffanB0lIdEXrWd3cvwskalJKcKqtg3nzr1nEX3rRWxLHHhlnJW1/Z4+HDbcZpjYEKqKdWi+flrEqSgTtfK3TmibvRkKwQlNWvxrnA3Dk2EqXzFckUz2WxrXqmwWW+31EuTWTZHDHJ4BNNK2W6b22h3aQKcGuW3M9fsDswTGoEq4ZgeoU0GRX/vgD4n37g4yglOb+wSqtRFu2UV4oLcir/cVP9OM94y/3/Up5MPLqAdlm8Ml6sZGzpMrgSDovnckWivCrAAy8bAOTnWwdmGU7P4BepeJ09Tyt3T9nOnadPwIdvbzGWAUqqLHtZvRAnM5hrlmXnGFZ1eKbFU0WSeoSpx1tfPeKPPzvg8aN1YuUzkJIg1Zl7JJCpcY6Tse1lwl1Pdfa3qvsWuUyeavAKC9GOtlZZSYBKTTmss5jLIooLOpnQ4/Z8usVyOEyeg/zrrfWTIF6/Xzf/LkmiOHv6CBcuLpWWdQ7wA0fPcMXurY2f/0/v3n3q7CKetDrC6KpvW7m61rD3OmB2X4vJ52u19zNLFFEAZ3IcsnQYOw8y86lNnpdv8pppbzUB7jx97+eNydrODClaxPKeziS7xyg/4tAZj14UgPIyeWImymMnL9zqAakONJrwwrNunDLx49H0BVduG/H4oYhUhwx1QC21NdtepsGVsBu52sRSzpaaPMgsmbxMmOQd7l4x2NS+lw9M9TRZB5FB6nJCQD5dK827+wsDoAwui8Bz4nznaFnTMFFxmarAqrosDsBN6d5pDUYkTLdmdt/80n/RGPX+6aDW2mEBfvzEORYWV189O7fhZ7r9J1BZH5RR5Qmxf8usZXBnlXmmgLJ4T1R/JrD5HBcIJbDLPkblsKKqDNXMQU5ZI60cUBfPsySPIvPCLbgtgMuhQL4rT1z2VllfZxCx3NP8v3/dYmlYQ4S+lSfSVFaVcnDO19aclWkC+ZyYgsGto5IkHu2Gx098V48vPtxmaRwQSY+hlARZD2U58iFjcLeeXuiijNagM3DrIu1dOisiY3BTBOk52JUUGYNbSZQWLgqFTCl1eNlOWMqUPPAsrcLKsZlY5dYH+AQWi2RRSRjCDJiemf6Z7tJTdyfx8OOQMfj9Dz1NLQw4cOgEcZwQNII1oDUTf/nr5W/yT+ye4OpgxwnWpkxr2zl5kxKlOpimALYUSFWOH1MOqD0p8TJJ4hUAzzW3LoJK39MFuH0vr7+osrevYoIg4kNf8nnqSB2kj5SSMC+NdazNYo/47Es+YzWhc3KKnSocmZJomW3y5HPtngFvfHGXP/5sDe2FDGVAKEWR9FFSEDsB3SSTC5fJJ1yIQqooUMauCtoIC+58Slg2TLUcK1HOoikn09o+TiGr8qRwVioYKF9/I7e1+Ku66vY/GdFdOYlSijS1G0N4AM26T60W0Ag9/GzqqCXm9a0/YbJs6zOBPP8Sjlti384L882agTIVz7gILEXJ5gVDfj2AyxLgyqmh9rK6FJ9CiviqdEt8ZzhQqbkte/uenVq10tH8zZdbLHZCqGXuiXCCsWeQKAhRZXI3SJ+07YqeVls9Z90Uj5m24jtfPuATXx2x1A+JlMcwlZk9KTL3RpTN2HIysaKzug77li7YvOyN9HJnRWXPs7HXOhuHnR93F+Qi2zmvkJKZPLGrs6vHxYRcEVWAC4Mwz4x2i7cceK5l4SgJrUh1gKZWWNjevv2HmN8wu+vLd93/k8tL52nVPaR0LBjWXyKe6Sayf5YTmGHiZDtAr97F+hIlT5xUgF2d/e12uNjh7lTBne9skDO3cph7DYPn4ybKkROespnLY8cFB0/U0IQI6RXNuWX1oBs/CMfVKL98NabJmVw48kQUTkbRbpZ6YDz27ozYs2XE0v46Jg0si6dWpniOi1Oyp1voldcLScf2zdjclD65luXcSDe2UTqrS8p27igSWrIkowLcWmSzVHJNLiakipjAgylerCdTyvdEWajlsHpxTHXAmbNL1Kau+8lL9rz00bOnjxz3MJrxeLzZV+Y1o/5qsb9lZS5gdoVUwD0puCc/0ITennwsZoVQBXlVngjHmRBOsFkC2jI42Shg1wd379mW1soFtwPybL96PysNzdlbZa89L0apmE/f2+LQYh2CUp74jnVZuWBZOy5iDSsZx6mqpJ+d3c3yMtrI49INEa+/ZcADTzdA+ySp1eJ+mmV306pUKpnTDZYykBtTyQgWz2X2XGariszvItuWxhTjllNlNzyw58UUxFQmfNznGUs77W1F24sL7q/jOrkvJq3DVCtWlzts3c1romi8OU70cc/Wl5hiCpEUWMv0GdySr3tzPmDOXM9oD+YHgarWLmWKKMpAJ4FdsLkSThOuA+5sPmG5bQdrge2VA4KKEW+ezkCeWHmiYuqNiHsPKD7+5SbDUQAND08KfFGVJpOf3/3O6wK8ALkjU8xEwicDeZx4TLU83vSyEZ/96oD7DwSYps8wDQkExYWmir9f6mBnLS1A7uYsbPCZXWDKsnkqrR7XDmvnQb3Otz7RwtHfwgl0qzFUqbvLuMC+Jwqgu+B+Bt5cg8P1vPEi4WRLAvFWuhFaRCytxnT7mqm2k4F7hj8gJt5b78NU2HoNwCclSnWiaRlcigI0xbw85ezeoERWm1KCuwR5XjZr8LxyhLKXbcLkqSrQ/YKt7V0pG2AGQUQcpXz2ngZPn2yA7yOkykCVzQ1xgkshqyd10jUqSKOoschWSyeTqYtpYbLwxNPUI4o8rrok4bUv7PPY8TrjJCCVPkOtCFImPkvuhTPB4G50VX6WrAoabTRaCVReByIFRoE0pR4vVlQJUjuzDHW5ashJgE/GJUwA/2+R6XwmshAYplsJ040xoT9GpGO8D/3Vp/A8xWqnR73mO8HJ3/K2jmMConJi12hu1gN1zthugFnuQFBKE8cqLBg7B3g5ObWQKBlzW8Y2BVN7xWP53M+CS0/FhEHEkycEt321wWAYQNNHirxyEMceXCeL6XxPlxryWhSLrqyy0HVT3ISPU4AVxT6tVsRrbx3ziTtHPHY0BC9gpCVBpsWVthvsutJApBTyIJtkWdKVKp0cT1FKF2nZPF9V8iBfGwt2qctEm9Cum5Kdc10y+2SOYw3AJ0A/SZLfILqzf+Nz5PCjnD1zGJ2meOl4GRMJpE5o1OXECSlKqFgP9pPvrOt7F39YVK7gdVlcOmB3NXcBcqu33WymUlmFYVZRaNu5sueeOx98AtzZ3c+n0GYF/p5K7N2L8f2YxKR86u46dz1Zh5oH0jY0+04Jb6U01r27L9Y7L8a5kzF60VQusqGTsgL08cjnpdcOeP2LBjx1okaS+BihGAoPP6X4TCItWbz8COszuTvEXqmcuS2b29cCqUWhwwu/P2f0fLXNGLwY2jkB7krAWQF56aqsB+yvh3NXWUSxx/DcCCFTDAavFiqktBVocSSKZfNv9yfcAEGsYezyuX0hXYA7bV3uzgIVYFekipumd+5qAtzKuXvlJqg5oH0H1LlzYh0T+6hUTODHPHpc8uEvtYAApI8QqugiUtlGqm7W1XWE8uMmimPiEIUb/btFV24JbWpb9+wUWlWk743xeNsrhnz+nhEPHrGTBGKtGKQiK/jKQJfmwHHqQCZozxhjWdwBev5TlYFey2w/nzwozrW3zNhc2MfiHGpnYKd0Lv5KAqyUJOXx+tqB5tfLlxvsXpxCKoRUYDRefvAldvmvVG99PUBP/I0ysHQi44oGd6asTujuUqqILFlQWk85wIs5eS7Is9a0crMpu7NDOQC/BHeFtZ3HvLE2lypKJfh+Qpwm3HF/nScO18H3QdrgMhDGmRzrBlZiTWAl1h6xSnVmGSTlrgZVLZ61smmVOSqpxzjyuWbPiJc+37L4MLUsPhYBIw1eKsrAL83tQguoUqLYD+DWE7nWpZJglEEagTLY7KcRCCMwAqQRpVRxgsqSvbPzqt0L35nrvk4exB6ltVpcrAe2daBvjN0ITQrsZ0bgpcbYACf7D0shHOdkLcRF9f/K/1+jp3JLSBRSpZQm+VJVdUyqe8RM1J8Iir13it2L8+bbSsNDuXWJUhPgdobiF+6JSlGeA/BMogRezKFzgvd/tsU49qHhZ/KEojVNubsEFxduGX9U9Mo6Z8QFuitT3M0BtFlPi3s0Q8n3v3bAp+5qcuCMvfhSrRikylYZplnyB2H1dypKt8JZSfLz7AJcmlKLy0yjS20w0p4jI4UFuHZipZzJtRtLrbOyOYB2PXqXBCsA/1sGnsZYHPhedqH+j3f/1ibf9/6fo0dP7AUHXM90l+u95xZFOffc7ZAiqyGp3lW+9MlylzaZjQcugDtxz0cmuB538eiVuts6KFVwu3v1lMVU2e4PXlw0M/heRCoj/viTDf7stmkIQ1A1lPJoKENdmWwcBUWDs++0xpWZVDcRJSknw1IJUMtYorQd84tWSLLG37IXUkmDMJodmyPOLEoeeiIgEXbygBYKIWwp7XpxTxUwouAw4b42jqjJwO7SXeH8wISGr3Z2rXt3/43jJhVTiKk+Fs01uvz3RZGVc6+ShGH3ZTdsvvLaW7/gPf7ksemFhdXXjcYRtdCvaMf1busGAMXy4mgp1wJynpcJANc9mahBcVm7UgduKtpbFmAoJYlytLcqdnpwNqJSZkKS5JWCOXvH+F7MwbOSD36xgZ2/Ytm76NzP/76gMl5YOt/bDTSF+6IA0AQ4tFsbUs4VtIFnOb1Xp4pUZVo89fieVw742B0N9p32QUYYIRmlPh5ZvUh+rNMMnmme+Mmh6kgnY18b7Gys/LPJDDzSgDRWtuS6Wxr7N4zO/HGdBaiV1bnK5utKE+c9F2drL8p1MOmyvYA0iZBm9XXx4MS0Z/QYTJx5ylVbby24xcTryeeTABfFslOxzVxZ4upYWX3uAtx2keT623meAzmvdss1uANuO5FVZ4/WDlRKo3K/WyUomaAyeZKqhE/e3WTfoVJ7SyGt91100LDuCRRMvhbVk+AwoX1ebUCueOLORCpPC1ubIssUfhR7XHXZmDe8qM+RD4ZEqQLhkQqPoRB4aWbf5eRD7qgIXD4uQuCMHo0RqKLuw0oTY0ymxfOSEFOm+AVoaYGvc5ni+OAu2F0grwG7S5ZrJG8V0ethNA9YjYbBMMXvJ3jNus+o7lEL7BK6Hn8bqDD75AdZ70qr2kGTX3BtImD95oYqa+evc9bOwZ4zdwF05TJ5qbtVHkTmW5xIjSfLoflKpfh+zNFziv/x0TYj6ZNP0Cq75rMVxK2BdvVkxQ545lt1ac3cDAOVmera1eCiUp+Sao8k9QnThB9/c5+/vqPBkbMeqBi0Ryx8hkKg0tLRkG6wOQHy3Js3gJdfcNl70pjMgDAZa+eeuK6wucn+jpYCYcrVY62ZkAHfAasLdtYB93oW9DPd4lgwGEv8scTT2ZfJM4PPZJ1UAF4JcR2WEu6VWE3kFM+zRNJ6DOgCW0ywdp5IqYJblxJFVhncq/jbGZgrfrdzl5bFfS+iG2ne84k2Zy6GoLzMGpSZPDEV37t47n73Ckt97RUxJ4+SvfPGA7dHM0/hy+JeNENIRZp4bJsf88Nv7PFr7w/oxDYgMEYy1srahmn+OQykglJhlyCfzHeo7CrM5jeVj7J0fKQ0JYMb59xllqEpGPwZAk4HvDrHlYuhSWBPgvwZbmlqH6UAz5N597lEKbcIZQ3E10a2ony/+HDFc1FdishAOwGGSebOgV2ydjmltWDvrOC+BLTD5J7OGF0X0sTKEe1IlZyxk+LRUzFeGPORT4X8wV+1GWvfyhOhCnlSNBVPWGIV3V1IsgkWWA/clXofJ6NZgD5P2Ru01uXmXkXyx24FXvMSfvQtfQ6eCPijT1otDopUSEbaBpwypWDwsgArP1lu/21pV1pQl5LFmIzNRVkoZknHlrqaSuLHypiiLj3Dg3ZJroIZUcUPDtDXWRSfKctpDCSpKe6e70k7TiHT4OvWKU4CfALkxQd0PtRaK2htbcLawhwzIVGME2RmW3S7WwYq13XQjlTJwewwuSyrAwvdXTzaWYPLK/DXX2ywMs7BbQHuS6u9PVGVJ5VVJ7fL1jshzoFztXZ+QqrOgCtPKLde1BN14lKitEJrjyT1mApS3vyqAR+7u8FST4GMQStirB6frC6ciKZ4Jia3eaAyKZTXp+TBpslYvAB05pNrwwRj2/OJEJbhyaQMlBfcOliqyJVJ7E1+hQLgkCQQJwYvSe1WysBagE+eLFdvT1xpBYBd0Mu1YF8TkLltTwVgnBER0lS0d2mlrQ0q8+E0JbjTSoCZB5n5Pjeew95+I+FTX65x/xN1tKO9bVNDLk+q9SZFaxZUVzFRPTnPrBkz9iwsrlKiTDZDGDfoNNJuPJD54knq4+mEF1wb8R3PG/Cnnw5ARSAkRgjG2kMJYbcgyQNNUYJ6Uq7k1qAx1q7NmV3JUkYZ6RSKSTvjpcLcxl7wxsGAzkksZ2uT/6y0NJ+RucVa3FXwaarHtWhbzHamKCy7/F+ve7WsJ/4rLF59Pgns4iKQppQqE4wtxAR7iyqwSxcle60MXjZiTMrMMZEm09WOJMkdE+lIFGndk9CPOXJS8v5PtTjfC+x+19IOeleCcseGiXhhje52fed12HvyVkn0UDL7mq0W8y0YK133dv8c+2i3P9nUTPmB7+hz9xMhRy5IEDGg0EhGQjqbSFlQ5aAubEz3gnP5vMhmZufBZXNhn+dgzmVLOTTKWTWyVU7nz/PeTFE+x33usnmG4ipZiDXHWeQkoW0ZuJckhjS1h7oSyU5cKZUr6hnA7V6BLqAROEtkVXfnS1dx4Iv6aoe5VQ74CZAXM7Inn6eF9s5Z3MvHAasEJVO8zBYMgphxqvm9D7W56+G67W2TntXeUtquHVHOXyk+a76yuBfzOkzuHj8X62szmKVrUe7x7pbPumW0zm53WpGmmkR6qMTjpc+N+JG3dfnF3wsYJ9JmoLQkyVwVqYXz2SzIKyMcjG1Jw/l89rVwYoOsu96AkSYLMEVxARRBZ3HRm0q9isjY2w0oJ6XsujisvDexAk1gU2Vtip5tyhWZBq/+oTVgrlwpE8GA+0ErbG7WFL+XLOgO9lmHvZ395+V68kSaotvbbputHYnijP3NdXc247oILmWCHyR86UGfj93VYBz5UPcK7V2wdxHYUrmv5+1Xjg95wLk+fbuFTeVUVRfcYFReZVitFU+1RGorVXKgJ4lHvZHw5pcOuf2uIZ9/UFnbELtMx8JjmK+iJd9VwGJ3m6lqcnt36lJk9jklqOz75a9NJk1yoOfn1wiBLrYfzAJPWYLTxY1x3gMzweJVPE5iVQhI8yAzMXh+NlnVyzZOcFl5vf/A12PuEvhmHUCvZXHh6m3XW5aOY5Hr32I/dfu60N7FJNQS2J6aALoqwe1l4A78mNW+4VN3NzhwrmalibAlsSLX3gJngpRZA+7iuxXfXzhA/xr6JAe3sayZW3KTKewC3GuGA5U1KlIqpE6R2iMee1yxOeY7Xtzn/n0BnShLv2qrxyMU+T4Qds+EyZa2kskMNrlTXJDSui0qa2kr2TyXKlnCR2Q15AXQRXHeNc7xMyXDTwK9GnCaCRw67L0OJuNEE8eGODZ4cSxIEvthPOV+vbXA/lo2jjtEc31P2B4IcC22arKkDDBLYJfgzn3wMriUxWB2U2HsSkCZJ3JcF0XaTnlNyp98us4ffLSFEZ71vSvsTam95Tqf2/mO1SVyrTZcj70rlXxM6u+cyde2suk8ba81OpVoaX1xJTVx6iOV5kffNODwWZ8/+JhHnJQg1wjGQqJ0Pkgi1woOyAtQZ7oCuwgU8BembBPLgS4skGX+z0QuVcoRE7lVaISjvUUZ9JaxgXMc19k63MWf62qL4rPZqWa+J/Hsxkp2Hxqlqv+gAuI1ADfrMncV2NUsX4XB3aDSeS/3uHNmL2fiZd73hGMic3CrCXkysWe9yvaesRo8xg9iDp+XfOyOJv2+D3W1lr2Lmm9ndRFlgqciySaew9dP8pQM7oAeHC0uKu6JyZoOCqBLZzNeabW4lB5xnNJqJrzpZQM++5U6h89lSQU7oJpUCIZ2rbGfUWfgNiXYTQHqzC0hS/4UC07upOSpe8veKgNrKU+qQM+BLSdW+eLYFa5LlblFBrQcxJOYdLiDOEoZjhOGUYJ3yVZDwzecP21IMmvIXamqS8PE1bROkCDW+9A5iAuN7zKgqcgTUcy+K92TAtw5cwt3MHvunOjKdhvSkSVSZo5JxuSelzCONbff1+SLj9TtcHDpW4BPsHde5KWEoBIM4wZRE0w+Ecd8vVvB5m5VXHbXOsse5k5KthWJ1d26lClakgqJSiVaKOKxx6tuiHjVC4ac+ozPWGd2ma2EIsFjJEBqZ9sqIQoDO0/9qAJeuaOS1YoLCuAbIUqyN/acGpEFnhWglxlVXSR7ylk5QmDLekX+edx4zqb/i8XGAb17JI2BYWRYHUrUwMO7+sqZ1ad1/7PKC/6Rjg2FOVn8F1gLapfZ1wM2JZDXZe8CzDjLVw56h7ELYOdAL8tGq85JVX+rIv2eOs8TpLSdOjJIuPPBgF9/3xSp8UrnRCqEkHYfIFGm5asM7jo+67P3N5DELJGdMyCTMsVU5Iomn3qVFWOJ0lEpNLm03rjQHkmiCYKUn/3BLgdOe9z5gEQHIoOs/QKxVgxxBZVxZMk6mrzwwrPVNv+8WUCZ63CRXQCacpSEcfEApU++pgnC6bqvJA9NBYPFpxbVpJUxhloYoMKpz4azO1fVJZdc3j91pnMEI34kTWOb7MkB6bgf6xVBCblWn1aSM2ptwZRbJFWm3nM7sEzFq8nqQCegLAqqngHcrlTxKgkd22t5elnw6++f4u5HmnZTHhlkJbE+nhTUJYSSbJMrs7Z2u3LPGqCLITnVYUR5zbtUEw3TznErXwvnojdrj2tOBs4cQDEp9dyfGdgwlxB6hvsfD1gdujaZAGQxRbysOCylgFhzdX4jy5JTjOtIL3v5TG7d7kgcHHnsdpQ5F3++4wPO707+Da0N9VrIuL/0AxdOPH3AK0soy/RsNds4Ea06LG1fmwqbu0ztpmitvjIVNq/4yZVtMarSRK6jufMdBta9KzewzEphs+dpkPL+T0zx8S83MTUFQll0Cg8hZaXfsuxv/Bod8y77TApCBxeTOtFMvHZPln1e7baf7PAptpXJmNsYXdaoCInUilR4yGHKm18+5OmjPu96r0cUJiXAhcBonzFZd1WeX0+tiW0wJSgzBjVk2c0s+50ZQDbYzBkZy+bWHiwXhPz82+pUUV3h0xw/GYsb52M6BZCVFbJ4LcoYOftoqTYYbfAGI/tf0dr+ZaVKUJbLgwvwqjYqZcrkOGQX5GZCorjOiWFyBG8F7LnfLTKAO9q7wuAydZwUF9wp0qk9+fwDIe/7TJNRmk3BF7k1mGUthalo73VT8y7Q3Yt+4rhUdfj67JfvZpB7z2sympg1JbRGOplN6TgrQtkMnsyKs6Qm1R6hr/nB1/e557GAzz9i7cLcG0cKtPEYa9uOVhSRTFqHGVILKSUEilyaOCDPmx4czZ3/Tg5aIUEaUyEJkx0v40gUxERmOMdeAfi8lsUUJCMFhIGkFiq0lnh2CpD9V0ZQcTdcbb2GxZ3/MIJiT511NXieml/POckB7tqDLrhFubOXWqPDddUDn2RvmZYBphczGMOv/OEUR8+EGK/cLbmivXOJVAH2BKBZB8wFhN3AZRLlVZBPbiBQzWi6xVeuHl9bm6JlVnEoXRZXiFQjhIeMNJdui/kP/7zDPT8d0htlX0bL4nOleIzyDEte3K1LkBsJ6AzUhsJhURlujCTrSsrAnNWklEkeR+7mv+OSXsaa1UShKYrXJpuUC7ItsGZNAGSW6Em0TdVPTc8hpWI86jHqj/BUCb4KqIs/ZBxAl++tZw+6zQDuzOhSojijd9eVKNrxwZ2+xIzNC+auuCbO7ryZ5+15MUkKv/ORFo/sr1nPW+bMXTonvqjKEiUmLnYX7BPMnUVOuEM31+PrNUw+4ZyUDRCUxUxGlOP13GpDYRm8CDq1tCBPJVpk9zSTKlpz496Yn/juDv/9Q9NEacbiUESFKYqxzrV4lmt3QF5IFOFkOYXdoNe4bC5B6JK5ZTZlNh+tZgRrjqkpZIkokkA4zC6EgWJxEeUiQ4k5LQRSa9rtFtPTbbtF+cte/hrCWoNTx5/i0Qc+Q+D7E4FAFeTlCTXV11Qnm64dFTDpoFQBXQLeTMiU6v6MJXunpS53kzqVexZY1lK+cF/IH32kRWfoWw8w87zJmnStc1JmLd1SXlX53Gv1d8EslbBMFK/FJKAnWHsN3itAN7gJoJK1s6mwzjaPpVSxNmIqFdJoW6+SKNo1zQ+9ZcBDT4Xcfq+CRpIxdfYJpSDRkhF5TFGC3GBLYylsS+t5Z7GqLevNJYzO5UYpX/LV2wDSVK3VYhqxBGFcFSAchsYBvlmzeXJ+9OI45vrrb+Dm515Pt9vDazcFQaiYaWvmpyOiVJGk+VbJJedMZpncZE+uuxFmXf1dTeY4eluYqg/ugLqyXZ0od9i1AE+rfre0VqAs9lW3gaWUCdJL2H/c4398uM3hpcCmazO/2z7Kkr2dhucKyNeTJxVpMjGtaa0aqaqUNe6Cy+JlYqVohGC9NP7EkKC8EMvoYlNZkUsVYRDSQ8aGPbMJP/7WHsfPexw6IzCeK7AESJ80AzkTIM8FsCpYL5O1kLG4KALNvGCqYPEJ6WLh4s7JAZFOxjdlMZUwVYniHt6cFJLUsNLV9MeSFI/YeHhRqtGJQYuYemOAGIekI1UEk4UUcZaCNY5K/oVYX5K4cqXcCcD1v6ubGKlMhpRM7uhupbPXk8mcEuhKpUiZEIQJ5zuCX3lvm499qYHxVZmOz6TJeuytnAtwrXNSDa4nkzouo1fyCaJ6QtZIlIn31takuDo8B7QbgOadPzIrasqfZ8FnqknQ+NK6Kp2x5Gd+Q3FhVUDo0q3A4BVMXsqT7ELLHzPWVhKMzuRL4aaILMisMrmQ1i0xToOLcWVJxtDGOcbrkalwmCQ/rNpAlEBnrEFpaoFh6Bu84xd9wnrj/Nmz3m0LnY2v8XWCNlULx/5Hq+ydVwnmPyvA7LB9VYeXe7dMgry6Y66uOCfu1tHKqRhUImdrm6mUmWtin9takwjNJ7/a5AsPNLJak9wSlBmD5+xd7hrszht02WRNWayjxSur2gRzF+Bfb0l1a1FcQFN6xkaXVXpupaHM3JRcj6dCIESW+MmcFSkl2qjsPYkwtuIw9Ayvft6IN7xwwJ99VhIlwqZt8w8vweCTGMEo6ww2wpUpria3I5tNlpAzhfa2BVnSqUqU2c/yR0FW2zPhqFRKaY1TPltocOP8nv03+dCnm6/fwGWXmNt2bOf8bDNFved3f5vvfM2LV6XxVwcD+X0ry0uEgXIq55yeyCyxYAfSlLttFbNM3H5KlcuLifJXtzPHqSuZLIWVFSvQVMDtMrfbEe9l4Pa8hFRqPnFXnf/0+1McOx9mTQxlQgfpIaQglFCTdpC9l42By2eLl8mccjSctQ/LwfzFlFsBUkqKbVVEdUi/ndQlJxJiVI+dI5FKO3UiezqxstgAThSB3NrSZFNZVYSwdDfbTrnqsoRTFxWHTno24VMxmEUGbOuAlOMvJn9n8kqevMiz/87aRavq/0/wQF4+XPm5Wfv7+WdSEmq+5uZrL2duev7fPv30yfuuu+Fldo8eO/BGWIAIRyNL4xygSQtQT3iQ2XMn7V4yuqlKlPUCSzGxB3ouU1TpmkhHiuTglk5AmVuCvp9ybFHyRx9tcuBICC1VSBKb2LHaO5cmRZ8lkx4963fMO8FmccpFNaCseuDlMpv/xnrJHsvaeiLhU7oossj4VdP3UoDWdtfh3BsXBbPLDIvaTr0y1huPx4a9e2J+8M09Hngi4PiCs1QVQaeVIQmCkbDBJdkIN6PdOpRSlxc1KlXVY9P10v4sZ+UiwMywnDO0qWCndExy1i4kYs7uMpNv2jAcJXS7EePI2YRqz54r8IM6NT8hHR4h8Gwxk5uYcTVQ1RqsZifFJLCFC3B3y7nyQhLO9tA5sEURXGpKNyUvnHJkSfFext4qZbkn+K0/a3PHI7WySjDPWGbgVpJsh2J3DHL5HZUD5vVswfWAP2mBf6O3CkNN1qU4ILeSxQKqkCnCAb+T6ZTCoIVBaHuctVD2tVCZpaZJB5qX3zDmX72jy3/+w2lWhjmwM8RpkYHcI5GicFBykKMtkMkBn5FF/hmLPa/yEpfsghDZReB2+JiJY1wEnyaP7yjtV0cqFkkmbfCUZPPW7Vx97dUM+sP8GoX5+U1cuufy231x4dc3zCpqQZINiLfDcyrjGtZr+nWtPbfyzw0MnXS7Widxo5S1+0q3ZKIrZ011YP48qSR0RtLwex9t8t6PtOjFWSdHztyZa2Jn95XOSaWoivLgTWYvK0y9Lpirc66/EaRPdtcXQM5/ZqpLeTXhM7G/jploc8vqxvP2tnyApzblHpwtD37kLT1+9M096joBnYLJH2PQCZgEow2JgbGGsRbE2T0xglhjZ5kbQZJvB27sRK5E28x/asqtwu3OyqJ4vxhV5zwvfteUj1obUmNIdXlPUkOUGAZjTWxCDh27+OtXXnHF7Zs2byoBvmHjFh7+8n8chOrcsZm2phYmBBnAXY1cyTCq0sOuAF+4wC5/b7KuWxb+tdO0IJwg0pEkMndGhMPgqsrcUibga54+4vMXtzfoxtlkTHJg5763RJBJk+JuKt1EygH0M2UvC9kh1r6P82++EaSX7WoTlqFdJwtmrl4ETlNyAWpZfV2MmsjfU5isvU0bhdGKJFa0PMP3vrrPVZePkWlSgLoK9rQEuYFIQ5yBO8mAnWTATYy7771YB9wOyPNd5SaAnv9O5ffdC8G5COIURpFhFHscOLZ87O0//J8H27dtLSUKwK69b0L5Nc4eu5Ph4AGkqpHqqk78eo5JmcHUa7KW1USPKWTJeg6KdHxvN7CUwslSTqTiPT/l8aM+P/FrMzxxKMT4spQlBYNLxxY0xSCfyZ0a1rMG15MplcSOE4i5/tU3JFcmgqyqLz5pF2Ilic5S4NkwnlyyaGEDXG2k1avGoI3MfsdOyBLa2sApxsZWkeH6y2Le/TOr/MivCp44nAUnMv8wolxOMrlisCALHPtQ5y1tmUTJV0VTuDCZm0KpufNUvpUppTviuk8i+/MVK9E5XqmBwTjlhbdewZu/46X0ByM+9N5fqALcr82h/AbKq6OURhfbPTsnah0wl89LX3vyIiiTO6b6fB2gF6wtTCWoFLn3rUpgyyyh4/manpH87kebPLovJFUOa4uy3gQcW7ACajeoLll5cu7gmrEQFbCXrF4JML8GwtdzD8rUvT2rLquvZfaJmnFj53ZrXY7ANnlmU2QhrJDZ+ZJWj2tDisYThhuvGvMv3tTnZ/+7Ty8R4ENRRJI3UyLshqtCEOVtbFrYTE72aLDNyLlBaLK5bHkSyDgEkgPe+t/OtoM4oMa55xaicwy1tsN+Ws0627duoNsbFMe1BLiv8Hz/cLMZHqnXG3t6vbQ4YeDaTWYNk0+ydMHkxXuTTD0J8kzSCF08tzo+dQCfZvUoqWVykaBEiuenDDT80ceafPgLTcY5mCeYG2EtuqKg6hnYu5pJW8c9oTzaxfPcQquAWUw8fl3yrvjfOJWFuQ7XUIwydhm9lCwmA7csWF0YgchqVISR1nM2xj7XWdBp7OiQQBje+qoB+054/NFHW/Rj7AHTGQrzxwzCqZZlIJml6m2NjAWyEnmtSgnqySSQW5tigV7tAhITzO365Pmh1UbTarfwa80jfhgelqO4OKZ5ORn11k4O7rv3tt54/gP9eDvDccYEObgrFX/VYLPCwCL/Wd6IMBGIVupN3DqSqv6ugNsprJIiZ+8U5SX0Injvx5v86nvbXFzyi9put9bE3oXD3mZNtnLNzBa3/JcJsLuvJ1i78jPxtcGdo9ottCreq7wUGaNXA8xKyj6fJY7zcy0qzkpVl6vKVoV2BJxi85zm5/95h3/2ph6tMLGTLE3q6PHYPpoUjEZrq8dHGiKdaXINiRNgJsYGo0WwmQWkbvDpau1Sh+dbm09o80yvY2yewJOa6y+f5/Id7Q988Ut337Z3z7a1DA7QHzZQXv3TUeK/0YjgBmNSe3ilmQDCWjuwwuhOCr6ULyVrl/+9UnO7zC3FRICZ24LCKX9VKbJm+PinG7zzPW3OL/sQqHXYu5qx9IXTRSQm9tnBAfQkczs+dyUd7/C0mHzzb3lzM5ol+EXxxvqp+zLbqY2w22iLEtjClJ64EDlrkz3mcsWyONojjgxbZlJ+/oe6LHUlH/hUC2rZ0rGGyTMGRRJjs5iBcIqusAM5cwYnY2+d2YnFfj9FEZZjF2Z7+5BLF3IGNwUz28YfQ6PmU6/JR7dubH66l9mDaxgc4Pm3vpyVs5+5O/QGDyolM3BTOiNFyarrjJSFUSr/uchS6aLMRhbB4kRjcBXcGZCVw9LrgFvKFBVqDp/2+NNPNTm3EJTgFhN3KRGZ5s6dEy9LTEx26riN0BXdx+SLjJ0n9Pc3qEoKMH/Nnzved2W7DvdCKB5ztp50VcqBQbZZOe/jzB9LFk8dhyWJJFs2pLzj2wfs2RFBlLG4yR2WtHRaMiY3xnVYrJNS3kXG5Pa5No596LopE7ahaxMWTovzu/kxkVKxtDp+8Pf/5LN3v+bVr6ocR2/ywHr1XYDEDPYjxKgC7HVZu2A7R2+veZ0zuHaqCvOEjhNQChf0jkwRbsYyRQWaI2c9/u93T/Olh2q2gbLidbvet/W88zEQnlyrtdcb5lP5naIDfB2ZQt4VLhwmX89xKYOqSZckvyrcvXDWjHTL/XFDwd52U1brjogswFyvKEtgl3qhZZYkkgiNzUZrmYespEKBtjGUHhleedOIX/6JDr/w7imOngssQ0CRALJDvXOaVBgESfb5tS7dqrw2RRa6PMts5kEneVBZdVPcRFCuu4tY1wjS7HNPT9W54ZqdxRDZrwnwa57zCqRU0f5Hlxh1LhJ4+dAdU5KT45zYk1+1AdcFN+sEmFKvBXgF3KkjVzLXxNccv+jxH393ig/f3iAS2W5Uwu2vLMEtsexd1nmvs/12pbx3wt92wFkA2Pkd1w78msTt/nDiPOSAz52DNcXieQlt4ahU68TJQV/JbJaNEFJbCGthQS6KTGgO+DKKzSVLog01L+Ft3zYg1fALvzPFiYuZs8IEuCuSxV5MeYqerLdTUzoreVdQWZRliirCTDdkr40jTShqwHUG9NTYfYG2bNnCm77z1VGcpPzbf/V1AD49PYsXtH9627btVy/JAy8n7YGwCQT3mMsM5Ezo8VJrO1641BUtvh5z25+lxevcGqyk4b2UEws+P/vbU3zk8w0imW29Jta7uxlLZ3h9dhDXlSZAJdh0kDvpf1dAPUnbf4fbJK7duvC1aXv7R/O9fXIGrzZGUOrvig53QS6LaE2Qj3lQRUNxkoDvpXzva4d4Cn7ut6c5cTEgm8NcvQi1scI5yxZrBBFWavhS4Fe+i62fUfl7WT1N/n1z5s6BLoQpBmyVWV1BqjWz0y127d795V07d/z0ympvzXGVk2/44RQrZz7anZpSBzbMjNNWY0To2xoP1ykRbrA4AVYlq4maHNhqQoZUXBIH3LIAty4zftFDdgAAKNJJREFUlSrl7LLi539nio/cvg6419iC9qD5stqlsx5752B2K/lgHQ/WAfRkgJkf/gro/xbongwwJ33x8k2BLn7XgjeXO5rqEP18rqG7TV8x5zDX5rrcGiVP6RutrD7XiiSReCm89duG/Kef6LBlLi4ym26Ws7y7utzq7ihzWAqXxbjuyqQWL39epu8zNyW7x6lgmMDSSLIYB2niNw785vtv787OtL8+wPMTK1n6idkZ/fjM1IAwiEsP3K3+cxjZDRyFKOVGNe1uyqCxCB5LWVIEmQVz58N6NKkveM8nWnz4cw0i5QLam3h0wC3WZiwndffkiIwcoOuNh3D97/X0dZHJFOJvi+9qNnNNUqfqe7tp/cISZC2Du10/xgGI0RmYjTP6zYgC5KnJgk9jU/o6lXip4W2vHfBDb+zjpWlpH64LcgtwF+RjnQWgWXo/txNtvYoD9OLiW79OJf/e/ViwPDYQqMfPLXZ/4pmC9nUBPrPtu4iTbjrkWnNqIS9qUZh8zJdb0ipdxl57zyVKtbbEvSCqAWRhA+Z3pcET3HZ3nQ/e1mAsVUa1LqAd9qaUJuW+Og6gcYGed3RntdkToHUTPjkpu1rbBXT+C2vKZL8RcDu/WJEpDquvcU3IfXEmLoBs+pULbC2qrD4BercYyzJ45rC4bJ5KQm14+2sGfNsLh4hUl964U5RVOi2JA3YbCMeZZz42gjhj79hxVxLHLZn0yvP4UYps012ZctXWId/xwl3GpL303/zT16x7fL1nOvCL6VsZj4cf/PzDS1c+55KLzVZdEAYJ0kurGciJoFKI6ntWf+Mwe/l+KVdSR87kwWWK9DTCg7+5q8ZP//Y0Tx8Ns4bhdYDtBpYiz1ZOBpbVRE51HIRhMoOZg7hSvjmhWyqp+wlQf11wT6Qx18oTUXrguIHlhCeed9FUGpRN5VFX9DhQuCd2V2FB6bCg7cWvtSpKUoUxmBSu2xPz3/7PDv9Owafualg9nk/ltMLf3ovn2UxuYTdPicmkFJBSanOV+d1Wg2cNMuR63RTgltJQ82C+bfju127pv+PtL/lgLazxrn+3/jGWPMNt754dZuH04d96zlU3Ly53GqTahrFltnKSlbUjWxxmz4NHsc7vOuAWIi3ArYQd4iM8+PiddX72/53i6WMZuNd43VVpImQWVOLszJDrbyZB/TXkxnquCmvv67L1BBuvj+6v8b6ZeJnpbPf1pF6vpOxhjfYufHFXj7vaO5MuhVxxtXleZqsVOpJcvSvm13+yw3e+dGB1htbrSJRnki3GVgAaiArJIgomz0ttE6fKMNXlXkVgu62m64LNm25cvO/Bw7/VmNr1jIf6GRkc4DnXX0E06nAg/iqB38X3UietXmYpy5oUXb7OfW5MEWgKp4Gh0OkFa+sC3FJp8ODjd9X5978zxZNHngncsmTyjGn9QpqsHd6Td+FMtoB9TbC7mJ2wENcpHnTQ/o3r8MkWrIKtnZ/nIC6G5Re/57J56YnbnYgn2TyvMtTVLKcRkFUfktWp6MyeESKLXp0qGSK47tKYX/2XHYyBT04y+bo3jftLWotiYkUqwCcDcZaEy4uv8nKKPJEFVmYa2WDz9suYm5n6msf2awK81to6Rq/8i927Zv8yHR5vaiMdljNl2tQBNoVEqcoRkVuBohqICtfnFilCWs39qbtr/NxvT/HUsWB9cDPB3nKy1iRvYHBqTqiy9xpJUgkYJ8D8/2vvy6PkqO5zv3tvVa+za0Yz0mgWZqTRwiIESCBkBERsAY5DHD184vCO/YhtfLAdb+ATPycxxMcGYydgJw+enYcN4REHItlYsk9wWMz2MCBjhJAMjJZhJI2W0TL79Fr3vj+qbtXvVlWPdgac3HN6prvqdnV39Ve//n7fb7lhsMMsfNBXgPnwyBDXLbkj9AQBcF2egEAPB6UflKMHikpg5ZVPS1yZkIBdy4ZaXfGEbf8zcHcxJ3CAKeGlT3t7iwpnnlbCtz47CqmAf38xHeji0U8Z2sE9mHoRSU+ttBhgeUDnTPnJZZwxlL3vJOcwHJpUWHRG24Sj+Ke6O1sKxw3wYn5QpqpO25AvXjq6a+Dl7LxWjmKJBx8SOjBAAa/igc0JwH1aEgBcMAdMSCjB8PhLKdz63Rq82TdVCN4EN2dBQIfKgdE873ABLxAJ9ECDnYXAzgwrr8+AD/hKvCW0LcRCyA7mm+twKq3pdBJw04tBkkN4dZwMAdANjVz3OPS4uCtEc48+u1EXppdv8Dg5h8tGoBNii2Wc3lnCt/9iFEoxPPHrFByNX//NSy9VWQRvlHEEYrpHmRBwc3c288CtfBlVKoZ8CThrbgGf+djy0YXd7RsODB2SU2GYT7nTbkG2qv7g8Hh5dW3jihJnOdhaEw+F4JlhjU0t29fHGeHiJIgjPMutBMPTv0nii39fgzf7Nbi9lQlY2LnUnCOo0KF53uaallEA+4EdRC25CfLoNh+7oXl0+7EOFbr528nGSIATRPPWAXc/25Dug2G1laQ8PKquBLycB1zcL39zK4GUzmUpMizqKOHuL4zgkqV5COkEnFxSJaXSzX2zylNLiuRWUm7VUFEx5CTDuAPIYhFXX3huybaKq2tr6g+2tzZOeV6nBHhdTQpOfhtOX7RgoLZxyY5Xt9eBs7zhMLJQNbxZ/S7N4A43dW59Y0JCWQxPvJLEZ79di97+BPw2U6yCUwkNdpjUBOHqHBq9jLPelShLtO1aLKAp8MNXQDDliOCOC9/7EUuE+bbWw6lGjgDYIICVgfPpgx5URkSgh/vBIB5yTHV/lZB27smHqsjQ017CP94yglXL8hCO43qLiqbaUlnRgZmwJb0bfN28FAa7BKRTxFUrJJYuXrQjmT5z4KXXd4Ox7PEDHACEELjzvhf61z5jfWJcno9SWfMw6mQSRYTJmAsgSJji3AHzboJJiISCshie2pDE5/+uFr27ElCxnDtkxbkJbsHi+3kfseyMJoyFMBrrbIYsuQleZcxz91eGt4rc8R4SM04pSPAKKgC+NOf44NYXCaIWXUoKcm5Yc6qiKD+6qcEu/O0B4N2gkCow9LSVcM8XR3Dpsjy447jFkopYc8SpKk4I5O5PlVSAA/hZg4wBkBKrLz8d1y4f/kRb5mf9nE/p1QI4AgcHAJbogiyPg4ns3tyh4vOHd792Uak0Bttydc6gMseNRppqijIdSY+K+ApKUmHnIQu/3pjAbd+vRm9/AioxhcatrTYPEql8agJEqnMq0hTonG8VA3jzIvBRTKKZflNNSlfIxaGTggzrf4Tz7GNaBQdShI/7kniIg7sOKiNzVIiLw3cyXVDrHiJenxIF4mC6MmuQAsA8rs497i3BRKC6wN0EwDMeJYkFHSV874sj+NoPJF5+LYmdhwAkEMxlPPSpQ/+VZ7wILxcMsJVEa1MtpHXO88hcuFeVczi/NXNEgB/RggMAt6owsv/5bSXV+D2RWQpbFGBbjmkFjSIGmgEYunlWXiQVevfY+Nt7q/EX367F2zuPAG4qC3oOnfCBrUjLB7PtMU2u0qA8GvUkYu1j80yYobJEzHp4exyww8GeCl99BBJGzkko6gkAlFvrtX0QXAw0hK81caUINdERTZ2fQnJVdJ6KrGDJ57eX8A+3juCvPz2Kea0loECtdZiexPB0Kf2ToeAmfZXzRfzRygXoaK763k8ff3lbfe2RwQ0chQX3QZ7qARMzNmTrhh7bcXDHddbEVjTWwNe5gzySGKfTv++481PAtj0W/va+aqx9Io28w4HkkcBN+wq6nraxzDaLyRZEVCWptM1Mfw2A6m+OicEH1IXhiCb6GEYE1JHIJPQyNmaSFtPA9jIDDeuvt4NkHoIoLUHEkyMoYvZKcbznuMD3y+JpmqzWMhjAyxLNDQ5uuGYSyYTC7f+rBtv3AEgSb5lRd1rzLxX8/EkAXIApoLEqhyuWzcKK8+Y9dtG5PRv2HRw+6nN5VBYcAGrqWmCz7f3VTUs/t31f9/rDY7O8tmEE3Fx6/JokVGndmzsuZUkA2wds3HZfDdY+mUEexw5uLQm6DiXJLeGEjiBEN/R/DoNXh/m3XsMxrsA4wsnDFIURwB8PkslzwwUPdLqpophOpb8tJv9EB0sktfyKeVmIxKJD56cQh5NY8qCOk8dbcsnh5BmSUmH1qhy+dvMoulpL2lMETcaaUmGBggWFRbMyuHRxw/rLLz33c9v3DPS3t806+QAHgFTVAuzb9cbOC5cu29zV1gDBc7Csst8j0M8gZLQ4uOxFKhV4iuGdQQtfu68aa57wwG1VAjcPbjxAJWcwl9iGab1pjaUfYQ2B01/rxZuHyP4ouCO0hEIyTLaP0Zpr7m3w8NB/2gGLFh/T/ZHutMo8nqmwEFBL6mRqB5MqL7TMjRM6QwBPQa5lxDKQhsT1l+Vw282j6JhZcrOtDDoSpizefVkGnBJKhTyyNS3omveBzS+99PrOhd1zj+ncHjVF0aNldiMg5n6rkHyxy5ns/TBzDrrBAgYSvfTC7959cKCoOH77egL3rcng357MoOgDl1cGtp5DUCOg80yiPQXDPb0jpWgIQBzJ+6b3CcgNixyy3mFHk2L8WIcPRIN+aMWEgJsRCVHzcKYMfq28Cf768UDQ2JIETYQfLNLFy/BaMgc9VhTchWc5lEtjGP218Kr9vf45fsRFO54ccMoOkkLhw5flAAncuyaL195KoKArgpgKPox/Y4AqQ5RymNPcgNO6Zj9y7jlLvvXG2zuP+bwekwUHAGYtgBx5YCTZdNqN966b8cLTryXcxvMiaDzPvcJgxt2EqRw4HvhFBtfdUodHdLFCLLgZjPwSTuVBs3BYrypg9DaBqYpwHWWlqbCIaeCvPxsz1ZGKwZ+QExkHaKMY+WjQHZoc7VmoHweW22A4RBoMW3T/ONTCRygJDQhx05J7VjxsycO0JQgWUUsu4DgMtuOCfN13hvDRayaR5dR6h4qaHQlblXHF+WP48n+feCFdPe/G79z/k5EPLOk4ZoAfswUHAFH3cfzLLzZOtnbfXNy9536U5GYkeBGW50T6ZWw2MF7meHBdBn/1v6sxPOY12fYRFwZ3Je0bQeGwR00sKv3BpCVGzokhC4bUEQreEBWhIA6sNs01Mdm2XnwqivQKmNbO35FATqiRUgraqMeF7H0As5g8FabL2EyQ685QzGtBrCPx3DP3gSToao8cbpN9cG60kWD0PyQkhG/JGQOgJCyu0FTj4I6bRyGEwj//LIuJEgMs5feMYJDuOqUyicXz2nDjDf+tyHl5Mpn6k+OB6vEBHAA+eHEPlJKvHNi1cvkbfbvTv906imULC1i2sOj+bHFg6z4L655J4Y77qzE85jUjiQVzDLhZAG7fqSQWm/NoIYMpAaoYC0y4dxjkU/yP5eIsAP1UeGYV94TAjDBIyXb9OLTPvwhI9qC+EHRutQ7yMOURnhhlRTFSpQ+tpbvLE3Ip3ePwwMrD5/eeJg63Sl+DXYRA7l8Lyl0up6Fa4us3jSFlK6x/Jo1t+yzPgjOct6iAc+Y76O2bhZZZq3Kl0pJXOD9monHiAK+qykCp8a+qtkvVHQ9s/8KLGzemGur3Y9mSEliZ4cVNCdz+/Sye3ZhEoSw8NIYjknHgJhbeO2dxud08FMQxGvcQRSWSCkvuU9yF6UmA65iQffhkxDqZR8/EDdWMxe2Ewc0BYr0ZfVqQZqtU6LlhUEu4DXp0oIe7hQa+ZWcgnNvl7O4kCQ5vZWUwcMWhvBJ75bVyczxQ8zDIJQNnjgvyKgffvHkMV6wo4rbvV+HlTQnAUeieVcZHr3CQqW7Nz+pZcU9Bir9qOkrNO24cOdY5xbj99m+qbPOq55vr0+KPV4wsX9y1U4xNcmzdZePWe6rwqw0pOIqH1sapBG4eAbi23LqfoGWE471oZdiSM/hNNIMlQLyLgHSz0sIM9+8zki9OhBtOtntZi+7Fw/znucf3Uk+Zm3AaLKwUNMKk9Z2RG4/SKj0/mrseHIPTDEcgtF0h0jS+EkUDeW/+hR44EpFfNG++dyeSzqCfS4mcv93zleyEQneHg/ntDjZvt5BMSAwM2XCsJcXzTl/4rcbU/q83NJ9ZPhGMnhDAAeCpH1/iXLgy+/LkaKH4yJMTlwwemmQ//EkWT77kFSn4nDvOoYwpXPAilTTPROeaBO3WzJRYE7h0XxjkZu2lsY+su2M+h8VcBCGAeRcC98HIQnOnADgQAXtsMQbxH8BCv04E9Ny7HyxKG71ggvsq9pctAKqK7AO5uBDa7v+lwI4FuXtsSIAphs42ieZGiVJZ4qoLqmXJOuu2ta+e9e1nN00UXnv2X08In8dNUfRg9R/HA4+uyxXKFzy24ryq20cO/Bte6bXIpcNQWQqcGtwWC/qZBKugmQDWiooO0/v3KXCgIiCqBDD9JdAvSH+O6JcKst+8f/QEJToMnk1oi5YEAy7tAtnk6G5RBDMcUEZyUxTh+szg+BJwVyjmrq9Co58AB6T0qQbg/oIpj664b5V5tIXBJTLuIrSMA359kkdX3AQqt4MxHOC8eQU8+LMsZs+5TH3y4s7HDgztyc1b8McnCs8TBzgArFrWjlkzWrdu38Nu/vluft9Hr3mCdzQN4a6Ha9A/mJgC3NSSm+BOsJhmPVBGg0weAm6kaSZi7gORn1PayN7g4CwE5ghwWeQ5dBKj+w3+TEDrb4TPl8P7DEczNNcFCiO6d8DLFQG8oZywAOReqa237KBbMgbF3Ab73L0gAK34eBIl07kr0gW/5OBcesTDTcziXHogVx4nl0Qndz+IEAr9+xjueLgOrTNS+NLHLpYyecbNB8tLt46V+04GNE8OwNs6z8aap7YX7XMvvr+lZn/mopWdd+8/NIyUvwAUBXUcNYlabhqGN5v2BLkkZpcqFQFwrIMZsuAGIMl8VNhHAR1JsorcP/qhptjODCuOwBrHbKOWV3mm3gc8NNiDKKfOMtSLspprBHkBH2inVKshOlXXdTr1oljwrLYPcuY23netfqCm6A+mpEIux9Dbn8TB4bNx3uKWL1198Yr7gdcd1nr2yYDmyQE4AKxe1Y1iYcCxr79y+1tvZsbu+Od8de/OHCCkh5oKlISk83FGI5Vh5YQkR0V4qpqCfsSUo2kohqy73gZi1aMWP8QlYf4/rhFn0cl2XYQM33oqQzZk+j4jh/JQKhkgvB2BJSeW3tfNNciZLv/0+hd6lpwRa671csBdNgXagsOnJlpDYYBn4T2QM0AJ93VKZQudzQxf+/MqDOHCsZ5FF23fsvWAc0bP2ScLlicP4ABgJ9J47pXi+nmdl3z66ivT94wWftbwxo49ODiWgaRL+fm8PAA3gwduD9g8RE3C1jsCZMQ4ZzFzohcAi1jkiGEOW2w6L0xfjgPxPuPQ4fQQABkBf/BYFyAHujejQR9GLHTYujPTivs9DqW7oKz/OoS7S6+tKweJjgKk0JmRuA/zQuTuIwlASXfZdOUth8K4xN7DDg6OdWPhwj893DRn2ee52Ld+x+6mkwnJYw/VTzUYa8DF589ETUY+9JEPrrhlzd0XHvizq9JIMgbAAoRt0hMC7nCTTN95pL0DQXg4sd4a+BpXAZDN0H1E8orj296EOP6N8OMYoEdwPQXQ1VS8JO6xMreFE7N8wEHTFDNfXHMao+peP/bebLjzlb75x4S5TyJIo43rnBXOI3ccy13dzQGeeWMOXuj/8IGG2ZfdMj5pP8RYF7rbov0FT2ScVAuuR1V1LZTa/6NM9nKeqDp0h81+01QQNoQQKJP8CN9yMxiAnmrdnCByGROSN6yzitCSsNOp3UADzCxwDkOeqD8YgjkGfk8GX6HBHppcFZrjCSiEX8MPFmlOrQ8RdjZdyxyy4hKQnsSqjyUZ84M/2gk1rbf7BrTl1gEifXakoudK+am3SgLJJMely885kEte/JXtuyd/tLCr7lRA8cR18Erj9tu/g5HEma8VS4kDTrm80snl0owJFHS4V1tlFnBumytSvGCWnIVrLeMyByPaNnlsXBweQwp0axhBHuYFcYJj0seBnh1cXCH9G3ROWP82W8FFnF7yOfQ5Ykf4r4Niwfwp2l3EyJ20PYZ/jAr3jW3heYTK0TnuF+4mZ5VKKYyOJ1Fd13p45pw5tzZVb/pR08yVpwqGpw7gAPDS0z/FilXXbWqfVbvrnC7rigTbk9y6l4Nxy1hslWreRs4JN1USwU0gG+vraGBzk7ZEVnHgBLQG2GOAT4I9EVBzEkThzAA552YUc0qAE2DERzLDYKb7WGg/M+mVBjv08RkBKDPA6gdx4Fl/DXxNerRzrfcDIfCrCMC1/KNpUzpRxLOvJTFWXDLW1DTn07LEHk43fqYSUTsp45RQFDquXFIlbav6kVKZl2tqxx/85av7U6mk7bcGIGwlqpIQcJOaB08LjykYRoVb3Bw6gXxbviY+Bc0weXhoIqu8K24YtFrFPyeAkyIHViaFIbTFDA5pykLWtPcois/bmRc0ggrua9WFeb+4tAmo5ACTkJ4H5x9TBeA33r9yV1mGmkDJ7swfys/5+Gu9s9fmiqNTNu05GeOkOplx46prVqPM+50rL8NaO9V+w9XLu/NZVvYbkEqSKK/7HZn6t9IdIgzn0fhJBgWxqbBEfmZZACLjuSDYNC4WFpmL0Dy6wfjpPspR0dckBsCozqE8mD4mQPMjneHXoEUR0POp9h20ZqZOp/Ifk8ogv8VEsIx48JpBL3kAmMwJDBfOz8/rbLth82Bm7Wipz1n9J9edItQF45RSFD3+70PrYTd+RN103flvbekffdtR/Jrdg8O2UtJt8shIP2+yUJS7DielKdSqm9RiKkoSdVYZ4ng7pS6UfsTREj/xyqczjOw381COyMFhVhgZ7xXxHJ1u9x1j5lmsCNXRFylNvDKjt8bFzKIXM+X7po4aPHbPi15xz4FllcHgwJEKyezcSZ7o/OhQ+Ya1f7Bws1x58cfeDei9OwAHgKcfXwOn6UIc2L31d3PaOvquWDJ2mc12pd7ZZ0MxGzZ3F0tzm5sDlojvABtxLA2QKxPc4fsRRzE810yE4jzYRvdxyr89MPOKYI4H+BFviAF16AZUOB7Z7juYFLyUT4PO0XglFwIBevjXyiWKgCYCAcAlLCHBeR7/bwvHjsGzRuad1n1TX9/gI/Pm9KFtwY3vFuzePYADwItPrcVVH/of+Pu/VpuXz2vaM2d2y8pNvcXM3gNF2BZHRrgF9gnhURQe+rIxRYYgUBncRioqi+wLqyf0cdiS+1mFIbCDgJkfB8ARtuqxwDWDUobj6d3hFNQUoGRO+HnGHAJj18qrmPnuHE1vdPEyAAguYVsObKuI0UIz3j6w6tDvdvd8/v5/r334+lVA64Kb3k3InZBie0LjnYFRJGzrxrX/8fydD6/7edOmrQ5mpi1UJxQs4doF6TVD186XtuCCx1lw03rH9SCkiogJ5LC1Jhad09cxaQm15NqCu0oOM7ZRSuPvCylCjFzQQcou+Uz+fEUuNJ0qrMjnCdYpdd+LIvtD+4yVOPRz9Tqm5jKQ/pI1TKsqrlfr6F4pACzhIJMqIpMawcHxKszpuv5A45zL/xKy9EMmGqYFZ6dcRak0OltroNTwDz/zZxewrpbRO2696+UmZ3IC2SSHJdzu/oUSUHYC58r8afa+UMCwMv5PrTdMDstMqwV6zOBn27d2hG4alg2Imgby3sIjdnuoeodFNxlTfZXEm2zGg9xwvbGP0Sill8sCN9gDRtUV90lBFqL7TnwnVM8l6bnakZcApMNRKAo4kkNwDinLSKUbUM5efaCQuOorA4Pqh3OapwfcwDQCHAAYq8M7eyfunz//ivItf95w95NPPld/+NBB2EJhPM8xlnf7NwIMgqkIuKmiMhVndY9A/sdcCfS5eqbxHC3hESdL+YcJXuRopMGKI5QpGJEN/XwSAnRlgp4mX9H3GeS5ACwsCWpYS+bmgiPIJwmyFon2rZdxV4BSHCNFG2MTFmxbAlYL0o0XDJ3buvRWxvMPMjZ94AamGeAA0DkrC1kuPTTzqqWHxw/v7Ybquqv3zVdtYZXx7FsSA4NJVCXchYe0w1DJMeOVQE05aMjShy0+ptgGwAdOpecey6ike9NXpZbZf473mKaQG0lYXvIVlJuMxRDkijOmk7TMXw1tuXV6LL0A3GaewdWkeXY6WUT/oI0Nb6XAHI4VF55XSqetL2caLtpecjK/SIp31cWLHdMOcADgli03b+ldf+01f5g4uG/H5Nk99r2FsV+x/qERvrFvJpgQsDiQFKaCIkIptFTBMh2rwEHjBOh6TAX28M4AkKEDVBhHtOgKR7xKaEKUfu+x9cnKpCeMPN8P6nitHfwUWS8jUafKAsq33u46OgrgAJNBWwzBJWy7hPqaCTz3O45nN8+U1126VNU1zvvMGWfNfWDfnn3FWa3zTiFijn6c8kDP0Y4zTu9BVhwqdrbPemhhT9eiupbOv6mrbQNXeRTKrl7OPAfTvSk/NB8Bd/h/DHUwKU24MDdUy+iZbPO4U0eYGX3CFMPM5gu98dj5/lJQRicrutR60PUqnLFoNgeinyLcWMjvCS6ZtwKxzgj0FvsSRZTKebS3zMa5i9v/pr6xc1GmqvGhjZveO+AG3iMWXI/m1h4AyD3+9A96F5+VuPOKDyxJLD97+1f/cc2gGD7IYGudnGrk4YPEgiNwIKmVDlt7OsIWkk1laY19JyhMhULtR349sjlEU3w6ojm391l1Tnil4/r9T7zjudFK1/HknEMphf3DCfx24wqntbnzG2cutu5Mljc73d3LT+yzn4Jxgt/GqRvPPvcTXLzyQ9h38MA3/s+/vvCl555/NZkbH4FgDmyLBfnQoNbHVFkCnZxq2FHpMNyawQjqMJBoJiPHiGYT8lDSFeOmJm7IhGHfIabyn0qFpnavIvdNiZBKjCr02HMSqfznOev6vBmt4UirOM4kUimF2poMWtoWF9IzLv+7mtqWrz6y5lF8ePX10w2Z2PGeBTgA7D88hjRKKIHf8fqWHcsf/Jf1XJXzyw8dGrIkhL8wqFLekjCAIScG+jEzNGaGmMBPTIDHSJf1gB6dEw76HB/AjYvPSC9QkTncAHWga1OQ0wvD0L81wDnIQr3B6wTnk/vALjtAPq9QVV1frqmxfj3/jGtlTX33rx2HfyWRLMNK1E83VCqO9zTA6fjxo+tg21b1xMTED7Zu679+4+/28Hx+EqmEu35jseyu56IBrgHhfpEskmpLwQ1UBrgR/IkBOLXk7xrACagrAdxMOgt13+VuRbu7SBix4m5aIBzJUCwJOJJB8BKSySSKql02NHU8ms1mP1kul8fOOf/q6YbEUY33FAefavzp9R9Ef/87Y9XZ1Ge3bO3elseGM1Rx5Lpd/TswlhMolFzeSKN6hucWA+6phkHLtUc6TYOqIcxLY9VUIq5/Ch26XyHgrvqgxXNOq6r0r4K3grWtOCZyHAeGFLq7ujC7JfVYpuGCzVaq/bvKyY3NaWuftnNxvOfufTW279iJTCbb0de37Z7e3m3XbdqyAc+8PoZiIYnaFIfwnFDBAdsCbMEgvMa2utVZ+JObVT8xXFvzcISVlnfPgtP9jIW4t68oBdY4/OXquUK46RC2JWFb0jtf7vZ0MoeRiQK27pmDjvZz0N7R/dj8+XM/PzEx0V/X0DbdX/0xj/clwAFgYmwItm3P3fLmO2dZfPBz9697e+Wrv9mBcm4MYAKcAwkLSFpAwmawLcASLsiCOsXAMaX5KLRtW9jZpLwbCDmbnLRv4yyWylR0Mg2ObQIcjD4OgEodVKEdTz9WEFh5aTiKHrhthaTtIJlwkLBcLp4vKjTU26htasee8eXPNdfXfbe+sXOTdMrbmpvfuzx7qvG+oSjhka2uB4BtSqltwOmb577hzFq19Kzv7x14Y+7Pn31d9PZxNFUpJC0OwV1w25YLMqkAx1EoS70IkxcIIkld4ZC/r5VPMXxa489lZI85FLmjc0wqRjZJ5Y5W9xQj0p/Wu5l2oHWRiBu0kQ5Qdpgn87kSouASsF1lpDqTw/b9FrL1K5zm0+Zta6g9cFNH3Qf2QqHXEu9bG1jhzL9Px+DgYSjpdAwPb2s9PJlcc+8DL9Qc2rcrWy6OoyYjkElx2LZrYaV0rdVkQcJxXItpCQZLuP8FD1tac416FmPB/U6zPFporGshjQxEfbyQ8xtu/mk4i8Z7MC258BxHSyjYQsGy3D6CZYdhMieQK7rdphhTSFgK2bSDbLqEhroEWlubJnjdqtF9h/jqhV2dA8IS/dmquun+Sk/K+L0BOAAo5QDg/ODQaO3GzTsuEEz+05YtveW+HdsanOJINWMKZUdCcCBXdLB7sIxCkSGVYEjamsoEAKfghgEwzz4zE+Cc85B0WEFKBAxaFNblzQhtFOBAFOTcKxKxLYWkLZFMOEgnHRRKQP/eJMYmBIRwrXgywdHZVjd2Wlfn4ZbZc62ErT6RrOl+iSfqRpQjZTox/TkkJ2u8Z0L1J2MwJsAYk2Nj40Pzu2f/ckZ9Tc+d9/y4+1Of+Mg3Ll91wZaOtuaNM+rr8p1zqrFq2ShSVePYP8JQLHlROs8Scs4gKJ9mpiUwY4C0bDrmPek/RGOmfU78sPoxflbdbcqRrqwnJeA47oppnAEJS6KxLo+h3EE8vmEUI7kEkqnqfKaqaePsjiVbll10/TcG3n60207W9CQzbb+UxdxQSrDfK3AD72MOPtXo6mgF3HTlyf7+nRDCussS4q65cxeITLbq3up0rkcW0x8oi70CnEOijFK5jGzagm0Jg5oAGpRBFTrzyDLN7DMGpTFTyItGRl9Mkx8WvrjIoXTxL+D2H5SSwfGWDknYJVgWkEwATU1ZdHQvcM5e3PPCnJZs7+TExM2j40XHtlNYsuoe1dDUNjnd39epHL9XFOVohpKHAZas3zt48Jtfv/fJRP+2nc7sGalzqtM4V5WGUSrmUChKCEsgYbnlFGVHwZFBKDs4aUEFjxCMKDBBdQ/tXeI+32wgHw3NBwEqnXPjv5o3R8G13MUSg5IuLXFkGbk8UF+XwdzTalFXXX41mxz+be2MmYLVrC5KPvt/QuWGOmbXTPdX8K6O/3QAD4+frP8VAKyELF2RtAqri8X8/P0HxrF161bUVjEMDU/i8EjBtdZcIJUUEJyjXJaQUkEIBtvmsAX3AQ2PdwtPlqQjWPYDgNIOblQ2tC0gYStYwqUgpbILeEs4KJXc7MqJPEfJSaKl0UZbexfy5TSqsum322en12Qz4j+kwnOd8y6Z7lM8reM/PcD1GB0dBoArHafcPbDnoFy79qeyp7vpNMlr/nJH325YlsC2vr1wimOY1SgwcLiMkVGGpjoL6SSHZbmldgoM0nGBn0wKCA44jidHEjVGKcBxJDhnSCfdQFS5DDjSBbVtA9mUQmNtAXsPlTAwmMDsRqBtdg3sdAscx8GMphZs7Ru6M8lG+lZd/kfcTtVzy7K3A+qXDQ3vT936ZI//AniFsf2d/UgkE3V79+xbuW3rm+CClxhPfiGTZJfPbGDYdaiAn65/FTOrC8imBcqOQk2VhXw+h/6BCaRTFubMtJFNO9gxoJBKCCQTDPmiQtJmSKcUdgyUkE0JzJkpkE07GBxJAEiiJuvSomxa4aweAbt2MQaHMpg1g6Mmq54YGineLZVjL1o4H/VNLc/JYnFYJJun+5S9J8fvpZN5MkZ3ZzMADANYBwD9O/dCAW8JJpurM0o2jBXx1LO9SCUk0imBXEFBSZQ+dG3Pbc+9Wri2VBClue0CM2onUbBstDQkkE0pDA45yKYttDSVkLMVGqsEulsZrKS0CwNVPx/a9dZttp2yHamgIJFKZ9DedTqaCxnUZAVPJtj+VqCvpm7WdJ+i98X4L4Af5ehonwUAfd4tdpRH14FzfHLrwHjt+JhQDQ0CM+ps1NQmMaMhiWxGoqhcgDfOKKKmjqG+WqCuDoAtWWaieSRb37r/U9f/QejIX57uj/++Hf8f2KMRrmKa55YAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTg6MjY6MjYrMDA6MDDwa+xDAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE4OjI2OjI2KzAwOjAwgTZU/wAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 60240397
{'hecke_orbit_code': 63050463536220424, 'n': 1, 'trace_an': 12}
-
id: 60240398
{'hecke_orbit_code': 63050463536220424, 'n': 2, 'trace_an': 0}
-
id: 60240399
{'hecke_orbit_code': 63050463536220424, 'n': 3, 'trace_an': 0}
-
id: 60240400
{'hecke_orbit_code': 63050463536220424, 'n': 4, 'trace_an': 0}
-
id: 60240401
{'hecke_orbit_code': 63050463536220424, 'n': 5, 'trace_an': 0}
-
id: 60240402
{'hecke_orbit_code': 63050463536220424, 'n': 6, 'trace_an': 0}
-
id: 60240403
{'hecke_orbit_code': 63050463536220424, 'n': 7, 'trace_an': 0}
-
id: 60240404
{'hecke_orbit_code': 63050463536220424, 'n': 8, 'trace_an': 0}
-
id: 60240405
{'hecke_orbit_code': 63050463536220424, 'n': 9, 'trace_an': 0}
-
id: 60240406
{'hecke_orbit_code': 63050463536220424, 'n': 10, 'trace_an': 0}
-
id: 60240407
{'hecke_orbit_code': 63050463536220424, 'n': 11, 'trace_an': 0}
-
id: 60240408
{'hecke_orbit_code': 63050463536220424, 'n': 12, 'trace_an': 0}
-
id: 60240409
{'hecke_orbit_code': 63050463536220424, 'n': 13, 'trace_an': -12}
-
id: 60240410
{'hecke_orbit_code': 63050463536220424, 'n': 14, 'trace_an': 0}
-
id: 60240411
{'hecke_orbit_code': 63050463536220424, 'n': 15, 'trace_an': 12}
-
id: 60240412
{'hecke_orbit_code': 63050463536220424, 'n': 16, 'trace_an': 0}
-
id: 60240413
{'hecke_orbit_code': 63050463536220424, 'n': 17, 'trace_an': 0}
-
id: 60240414
{'hecke_orbit_code': 63050463536220424, 'n': 18, 'trace_an': 0}
-
id: 60240415
{'hecke_orbit_code': 63050463536220424, 'n': 19, 'trace_an': -12}
-
id: 60240416
{'hecke_orbit_code': 63050463536220424, 'n': 20, 'trace_an': 0}
-
id: 60240417
{'hecke_orbit_code': 63050463536220424, 'n': 21, 'trace_an': 12}
-
id: 60240418
{'hecke_orbit_code': 63050463536220424, 'n': 22, 'trace_an': 0}
-
id: 60240419
{'hecke_orbit_code': 63050463536220424, 'n': 23, 'trace_an': 0}
-
id: 60240420
{'hecke_orbit_code': 63050463536220424, 'n': 24, 'trace_an': 0}
-
id: 60240421
{'hecke_orbit_code': 63050463536220424, 'n': 25, 'trace_an': -12}
-
id: 60240422
{'hecke_orbit_code': 63050463536220424, 'n': 26, 'trace_an': 0}
-
id: 60240423
{'hecke_orbit_code': 63050463536220424, 'n': 27, 'trace_an': 0}
-
id: 60240424
{'hecke_orbit_code': 63050463536220424, 'n': 28, 'trace_an': 0}
-
id: 60240425
{'hecke_orbit_code': 63050463536220424, 'n': 29, 'trace_an': 0}
-
id: 60240426
{'hecke_orbit_code': 63050463536220424, 'n': 30, 'trace_an': 0}
-
id: 60240427
{'hecke_orbit_code': 63050463536220424, 'n': 31, 'trace_an': 0}
-
id: 60240428
{'hecke_orbit_code': 63050463536220424, 'n': 32, 'trace_an': 0}
-
id: 60240429
{'hecke_orbit_code': 63050463536220424, 'n': 33, 'trace_an': 6}
-
id: 60240430
{'hecke_orbit_code': 63050463536220424, 'n': 34, 'trace_an': 0}
-
id: 60240431
{'hecke_orbit_code': 63050463536220424, 'n': 35, 'trace_an': 42}
-
id: 60240432
{'hecke_orbit_code': 63050463536220424, 'n': 36, 'trace_an': 0}
-
id: 60240433
{'hecke_orbit_code': 63050463536220424, 'n': 37, 'trace_an': 0}
-
id: 60240434
{'hecke_orbit_code': 63050463536220424, 'n': 38, 'trace_an': 0}
-
id: 60240435
{'hecke_orbit_code': 63050463536220424, 'n': 39, 'trace_an': 0}
-
id: 60240436
{'hecke_orbit_code': 63050463536220424, 'n': 40, 'trace_an': 0}
-
id: 60240437
{'hecke_orbit_code': 63050463536220424, 'n': 41, 'trace_an': 0}
-
id: 60240438
{'hecke_orbit_code': 63050463536220424, 'n': 42, 'trace_an': 0}
-
id: 60240439
{'hecke_orbit_code': 63050463536220424, 'n': 43, 'trace_an': 0}
-
id: 60240440
{'hecke_orbit_code': 63050463536220424, 'n': 44, 'trace_an': 0}
-
id: 60240441
{'hecke_orbit_code': 63050463536220424, 'n': 45, 'trace_an': 0}
-
id: 60240442
{'hecke_orbit_code': 63050463536220424, 'n': 46, 'trace_an': 0}
-
id: 60240443
{'hecke_orbit_code': 63050463536220424, 'n': 47, 'trace_an': 6}
-
id: 60240444
{'hecke_orbit_code': 63050463536220424, 'n': 48, 'trace_an': 0}
-
id: 60240445
{'hecke_orbit_code': 63050463536220424, 'n': 49, 'trace_an': -18}
-
id: 60240446
{'hecke_orbit_code': 63050463536220424, 'n': 50, 'trace_an': 0}
-
id: 60240447
{'hecke_orbit_code': 63050463536220424, 'n': 51, 'trace_an': 0}
-
id: 60240448
{'hecke_orbit_code': 63050463536220424, 'n': 52, 'trace_an': 0}
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id: 60240449
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