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mf_newforms • Show schema
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{'Nk2': 1672, 'analytic_conductor': 3.33774680448952, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 209, 'char_degree': 8, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 15, 'char_parity': 1, 'char_values': [418, 15, [343, 287], [6, 10]], 'cm_discs': [], 'conrey_index': 49, 'conrey_indexes': [49, 125, 159, 163, 201, 235, 273, 311], 'dim': 8, 'field_disc': 1265625, 'field_disc_factorization': [[3, 4], [5, 6]], 'field_poly': [1, -1, 0, 1, -1, 1, 0, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 15, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [256, -256, 0, -64, 144, -64, 20, -6, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 893386752418, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 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{'__RealLiteral__': 0, 'data': '241.734', 'prec': 24}, {'__RealLiteral__': 0, 'data': '97.201', 'prec': 20}, {'__RealLiteral__': 0, 'data': '16251.919', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [8, -1, 6, 1, 7, 4, -2, 2, -7, -2, -2, 8, 8, -1, -18, 1, 0, 26, 4, -14, -4, -11, -4, 4, 14, -14, 0, 1, -1, -36, -36, 4, -24, 10, 7, 13, 10, 17, 4, 8, -7, 4, -28, -4, -132, 2, -1, 6, 12, -2, 20, -7, -14, 40, 12, -8, 8, -2, 25, 2, -15, 7, 13, -2, 88, 14, 22, 0, -12, 8, -12, 7, 18, 5, 52, 8, 8, -28, 0, -8, 41, -3, -10, -12, -25, 3, -8, 2, 12, -11, -7, 1, -22, -2, -14, 12, 16, -24, 43, -26, -4, 40, -8, -8, 2, -8, -24, 0, 14, 8, 20, 1, 52, 42, -14, -1, -31, -25, 0, -32, -82, 60, 8, -7, 54, -14, 15, -1, 62, -11, 36, -12, -16, 24, -100, -5, 1, 4, -25, 16, -8, -58, -2, 24, 14, -18, -36, 0, 28, -54, -42, -4, 100, -1, -64, -2, 9, 20, -72, 14, 1, -41, -4, -16, -8, 20, 5, -6, -9, 30, 29, -34, 38, -4, -26, -9, -100, -46, 16, -44, -22, 16, 60, -1, -15, -28, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0], [0, 2, 0, 0, 0, -2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 1], [1, -3, 2, 1, -1, 0, -2, -1], [0, 2, 0, 0, 0, 0, 0, 2], [0, 0, -1, 0, 0, 0, 0, -1], [0, 0, 0, -1, 0, 0, 0, 0], [-4, 5, 0, 0, 0, -4, 0, 4], [-2, 3, 0, 0, 3, -2, 0, 0], [2, 0, -2, 3, 0, 0, 4, -2], [0, 0, 2, -2, 0, 0, 0, 2], [3, -1, 0, 0, 0, 3, 0, -3], [1, -1, 0, 1, -1, 1, 0, -1], [-4, 0, 0, 0, 4, -4, 0, -6], [1, 0, -1, 1, -1, 0, 1, -1], [2, 1, -3, 2, -2, 0, 3, -2], [0, 0, 5, -4, 0, 0, -4, 5], [0, 2, 0, -1, -2, -2, 2, -2], [-3, 0, 3, 0, 0, 0, -2, 3], [2, -2, -2, 2, -2, 2, 0, -2], [-1, 0, -1, -1, 1, 2, -1, 1], [-1, 0, 0, 0, 0, -1, 0, 0], [0, 2, -2, 0, 0, -2, 2, 0], [8, -8, 0, 0, -5, 8, 0, -5], [0, 0, -1, 3, 0, 0, 3, -1], [-8, 0, 12, -8, 0, 0, -12, 12], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1], [-4, 0, 0, 6, 0, 0, -4, 0], [-5, 0, 5, 0, 0, 0, 3, 5], [1, 0, 0, 0, 0, 1, 0, 0], [4, 2, -6, 4, -4, 6, 6, -4], [3, -1, 0, 0, -1, 3, 0, 0], [0, 2, -3, 0, 0, -3, 2, 0], [-1, 5, 0, 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0, 0, 9, -32, 0, 0], [-6, 6, 0, 0, 5, -6, 0, 5], [-19, 0, 31, -19, 0, 0, -31, 31], [-2, 0, 2, -2, 0, 0, -2, 2], [-10, 0, -3, -10, 0, 0, 3, -3], [-16, 16, 0, 0, 26, -16, 0, 26], [-14, 0, 0, 0, 14, -14, 0, 10], [-43, 20, 0, 0, 0, -43, 0, 43], [17, -24, 0, 0, 0, 17, 0, -17], [0, 0, 47, -8, 0, 0, -8, 47], [-25, 8, 0, -25, 25, -8, -17, 25], [23, 18, -41, 23, -23, 0, 41, -23], [24, -24, -24, 24, -24, 36, 0, -24], [29, 2, 0, 0, 2, 29, 0, 0], [-35, 0, 22, -35, 0, 0, -22, 22], [-18, 16, 0, -18, 18, -16, -2, 18], [14, 0, -6, 6, 0, 0, 0, -6], [1, -1, 0, 0, 19, 1, 0, 19], [-4, 0, 0, 0, 4, -4, 0, -21], [17, 8, -25, 17, -17, 0, 25, -17], [-5, 0, 5, 0, 0, 0, -33, 5], [-18, 0, 16, -18, 0, 0, -16, 16], [-2, 14, -12, -2, 2, 0, 12, 2], [35, 3, 0, 0, 0, 35, 0, -35], [0, 14, 0, 0, 14, 0, 0, 14], [5, -5, -5, 5, -5, -28, 0, -5], [26, 0, -25, 26, -26, 26, 26, -26], [9, -9, -9, 9, -9, -5, 0, -9], [-7, 8, 0, -7, 7, -8, 1, 7], [-33, 0, 33, 0, 0, 0, -19, 33], [-6, 0, -11, -6, 6, -6, -6, 6], [-5, 5, 5, -5, 5, 0, 0, 5], [13, 0, 0, 0, -13, 13, 0, -8]], 'char_orbit_index': 14, 'field_poly': [1, -1, 0, 1, -1, 1, 0, -1, 1], 'hecke_orbit_code': 893386752418, 'hecke_ring_character_values': [[343, [0, 0, -1, 0, 0, 0, 0, -1]], [287, [-1, 0, 0, 0, 0, -1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 8, 'label': '418.2.n.a', 'level': 418, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1672, 'analytic_conductor': 3.33774680448952, 'char_conductor': 209, 'char_degree': 8, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 15, 'char_parity': 1, 'char_values': [418, 15, [343, 287], [6, 10]], 'conrey_index': 49, 'cusp_dim': 448, 'dim': 160, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 893386752418, 'hecke_orbit_dims': [8, 8, 8, 64, 72], 'label': '418.2.n', 'level': 418, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 11, 19], 'level_radical': 418, 'mf_dim': 512, 'mf_new_dim': 160, 'num_forms': 5, 'prim_orbit_index': 14, 'relative_dim': 20, 'sturm_bound': 120, 'trace_bound': 3, 'trace_display': [2, -2, 4, 12], 'traces': [160, 2, -2, 20, 4, 3, 12, -4, 18, -16, 2, 4, 20, 14, -8, 20, 4, -18, 3, -8, -32, -9, -12, 3, 48, -12, -2, 4, 36, -20, -8, -8, -10, 28, -6, 23, 0, -22, -36, 4, 20, 28, 64, -6, -56, -40, -18, -2, 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-4, -24, -202, -244, -136, 105, -288, 136, -10, -56, 92, -204, -716, 256, 84, 58, -540, -116, 189, -28, 400, -24, -38, 12, 324, 2, 180, 78, 156, -20, -196, -488, 592, 20, -328, -528, -528, -2, -214, 86, 70, 68, 352, 278, -504, 134, -492, 69, 140, -40, -414, 424, 44, -60, -260, -708, -130, -20, 154, -12, -246, -260, -30, -172, 202, 32, 112, -78, -292, -88, 96, 448, -154, 36, -82, 112, -218, 64, -212, -60, 112, 64, -348, 32, 218, 106, -726, -168, -244, -6, -164, -348, -496, -220, -190, -49, -350, 5, 158, -184, 27, -256, -52, 96, 262, 20, -226, 184, -432, 84, -222, 264, 456, 50, 120, -176, 258, -100, -612, 338, -128, -42, 349, 138, -165, 54, 944, 88, 556, 38, 140, -532, 98, 100, -848, 62, -184, -54, 230, -340, -386, 224, -166, 90, 138, 40, -1318, -32, 146, 268, -320, -196, 374, -20, 226, -69, -360, -125, -264, -350, 194, 76, 102, -26, -242, -112, 102, 156, 512, 32, -83, 18, -74, 114, 42, -512, -378, -104, -826, 98, -2, 162, 86, -152, -216, 55, -18, 148, -466, -72, -168, 108, 26, 50, -980, -118, 4, -176, 170, -48, 1100, 40, -68, 8, 138, -156, -596, -626, -54, 32, 106, -80, 280, 24, -466, -324, -206, -16, -124, 129, 150, -148, 496, -237, -48, -92, -276, -228, -390, 52, -16, 226, 224, -38, 922, -190, -776, 16, 170, 87, -860, -24, -309, -102, -48, -164, 40, -74, 118, 2, 88, 24, 29, 240, -92, -360, -512, -56, -114, -140, -580, -70, -380, 184, -64, 28, -488, 57, -60, 2, 196, -339, 188, -40, -244, -110, -222, 12, -1424, 16, -336, -8, -184, 664, -83, 105, 188, 2, 0, -22, 230, 536, 128, -184, -108, -258, -360, -84, -904, -742, 6, -40, 848, -24, -8, 94, 132, -52, 700, -126, 8, 574, 116, -12, -153, 248, 632, -216, -156, 238, 600, 576], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 308754
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 14, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '418.2.n.a', 'source_level': 418, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '418.2.n.a', 'target_level': 418, 'twist_class_label': '418.2.n.a', 'twist_class_level': 418, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 308755
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '418.2.n.a', 'source_level': 418, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '418.2.n.a', 'target_level': 418, 'twist_class_label': '418.2.n.a', 'twist_class_level': 418, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 308756
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '418.2.n.a', 'source_level': 418, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '418.2.n.a', 'target_level': 418, 'twist_class_label': '418.2.n.a', 'twist_class_level': 418, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 308757
{'conductor': 209, 'degree': 8, 'multiplicity': 1, 'order': 15, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '418.2.n.a', 'source_level': 418, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '418.2.n.a', 'target_level': 418, 'twist_class_label': '418.2.n.a', 'twist_class_level': 418, 'twisting_char_label': '209.n', 'twisting_char_orbit': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 860600
{'charpoly_factorization': [[[1, 1, 0, -1, -1, -1, 0, 1, 1], 1]], 'hecke_orbit_code': 893386752418, 'p': 2}
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id: 860601
{'charpoly_factorization': [[[256, -256, 0, -64, 144, -64, 20, -6, 1], 1]], 'hecke_orbit_code': 893386752418, 'p': 3}
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id: 860602
{'charpoly_factorization': [[[14641, -10648, 3630, -1298, 419, -62, 15, -7, 1], 1]], 'hecke_orbit_code': 893386752418, 'p': 5}
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id: 860603
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 2]], 'hecke_orbit_code': 893386752418, 'p': 7}
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id: 860604
{'charpoly_factorization': [[[121, 11, 21, 1, 1], 2]], 'hecke_orbit_code': 893386752418, 'p': 11}
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id: 860605
{'charpoly_factorization': [[[14641, -9317, 1815, -682, 419, -118, 30, -8, 1], 1]], 'hecke_orbit_code': 893386752418, 'p': 13}
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id: 860606
{'charpoly_factorization': [[[625, -625, 375, -250, 75, 50, -10, 0, 1], 1]], 'hecke_orbit_code': 893386752418, 'p': 17}
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id: 860607
{'charpoly_factorization': [[[130321, -27436, -1083, 1672, -295, 88, -3, -4, 1], 1]], 'hecke_orbit_code': 893386752418, 'p': 19}
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id: 860608
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 893386752418, 'p': 23}
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id: 860609
{'charpoly_factorization': [[[1, 1, 0, -1, -1, -1, 0, 1, 1], 1]], 'hecke_orbit_code': 893386752418, 'p': 29}
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id: 860610
{'charpoly_factorization': [[[1, 7, 124, 18, 1], 2]], 'hecke_orbit_code': 893386752418, 'p': 31}
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id: 860611
{'charpoly_factorization': [[[25, 0, 10, -5, 1], 2]], 'hecke_orbit_code': 893386752418, 'p': 37}
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id: 860612
{'charpoly_factorization': [[[1, 3, -10, 43, 339, 127, 30, 7, 1], 1]], 'hecke_orbit_code': 893386752418, 'p': 41}
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id: 860613
{'charpoly_factorization': [[[841, 406, 167, 14, 1], 2]], 'hecke_orbit_code': 893386752418, 'p': 43}
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id: 860614
{'charpoly_factorization': [[[1, 1, 0, -1, -1, -1, 0, 1, 1], 1]], 'hecke_orbit_code': 893386752418, 'p': 47}
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id: 860615
{'charpoly_factorization': [[[33362176, 1755904, -462080, -132544, -816, 736, 100, 14, 1], 1]], 'hecke_orbit_code': 893386752418, 'p': 53}
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id: 860616
{'charpoly_factorization': [[[9150625, -2495625, -121000, -67375, 46575, -4975, 360, -25, 1], 1]], 'hecke_orbit_code': 893386752418, 'p': 59}
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id: 860617
{'charpoly_factorization': [[[4100625, 0, -182250, -60750, 6075, 1350, 135, 15, 1], 1]], 'hecke_orbit_code': 893386752418, 'p': 61}
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id: 860618
{'charpoly_factorization': [[[961, 341, 152, -11, 1], 2]], 'hecke_orbit_code': 893386752418, 'p': 67}
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id: 860619
{'charpoly_factorization': [[[1908029761, 155198593, 3276075, -288002, -40521, -4538, -70, 12, 1], 1]], 'hecke_orbit_code': 893386752418, 'p': 71}
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id: 860620
{'charpoly_factorization': [[[33362176, -9657472, 1386240, -200032, 23664, -1048, 80, -18, 1], 1]], 'hecke_orbit_code': 893386752418, 'p': 73}
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id: 860621
{'charpoly_factorization': [[[40960000, 10240000, 1536000, 256000, 19200, -3200, -160, 0, 1], 1]], 'hecke_orbit_code': 893386752418, 'p': 79}
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id: 860622
{'charpoly_factorization': [[[625, 125, 25, 5, 1], 2]], 'hecke_orbit_code': 893386752418, 'p': 83}
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id: 860623
{'charpoly_factorization': [[[5041, 426, 107, -6, 1], 2]], 'hecke_orbit_code': 893386752418, 'p': 89}
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id: 860624
{'charpoly_factorization': [[[181063936, -9365376, -1345600, 335936, -6096, -784, 120, -16, 1], 1]], 'hecke_orbit_code': 893386752418, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 14, 'hecke_orbit': 1, 'label': '418.2.n.a', 'level': 418, 'portrait': 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6DdFwxij5WeYNOEYallOHlBUfF8Nk3DtrmQjTMDNswM2TQzZNtGy45Niiu2e1RVnWMnm3z9OZ8nD8bsPRGRqA7feXuLt99mqaoZDp6Y5NhZzZn5hPMpuA8vWm6+aoF/+54Vts9OcHZ+kvmVCkstj+WWZLWT0Okl9IaCwycWOXZm9YqnDy++6uDJhV2Hzyzcdet3vDN86K6Pv9SQ+JZuf6sZfHmlRRxbpORXHn36yG2/8F//Un7nzYdv++m/f0Yvrm5gpd1gpV1hqeWz1NIstWC5lbDcilhaTTi/CkeWBHOzq/yHH1jiZZfWOHVhmrPzdc4uai4sWc4vxpxeSJjvxExOD3jlNV1ecTn4skqgAi4sVzi3qDm/LOgNIY4NFd9QryRMTcQY4MT5mHYXdm70qFeHWCtA+HT7hh2bhiytarBOiqx2YRiDxbLcCtm6waPTVwhlEWZIs+KxY/OA1Z7gxFlNYjQzTUmjIgg8iGNBbyg5vyw5t2S5sBITBAPwYm65ssttVwnmmlWWVpqcuhBwdhEuLMZcWI45swxHliw3XbnIf/yBFTZNNjl5fprzS1UWVnwWW5Ll1YSVdsRKO2GlY1nqwrmOYGGlx2/8dBi/447m16ob/ompNC/7Gtb+vJCKoNJ8qaHyore/tQz+wT/5JLfdciP/1//1L3/p45+59//88Me/fPG+E61d+8905e1Xt9izJSExGmMkFsfeWAlIQCCERQuLL+HsUpVHD0uu2bPM5dsH1CrgaYnvKXxfU69Kap6k1/U4cLzCl570OTE/pB1HHDg1ZOPMMm995QrXXNzhpstbHF+MWewJasGAo2ctrXadqy+SrA4S9h1XNGqa50/AJVssgzBhkPhoHTHVgP2nApRO8GSM9qA/lLzs8h79nuSaixPa/YQTZxvs3qSo10JWh5YNkz1Wum0+di88fSxh77EBO7csce1lbaamQ95yS4fvebVlz6YGSTTJsTMTHDntceq84fR8xOn5hCPzgpOrEdddusB/+IEOGycnOXV+mgtLNRZWfZZakpVWQqsTsdpNaHUtKz240FUstmNuumyRn3jrggwUu86dObV7MIheXp/cWa3Wpr78xCN/yfve/+cvNWTWvf2tZPAP/ukn2bFtszpw8Oi/O3n6wi88/dwJNb8SsjTQnO5arth+gd/8iXmu31Pj/NIUy60ay60Kyy2P5bZmpQMrrYSVdsxyJ2axBadWBLo64Narlnn3q0N2b6iz2m0yv1xlYdlnsSVYbjmJsNIxtPuG9tDSG8TMNCN2bDSAIPAsp+c9hAzYuUGxe4tly4YeF1aGPHOowY2XWGrVFZ47PE2jHhKGHjNThv4Artgx4CP3TnLZ9pjh0DI7IYmSPo1KwPPHB1S9OtdfGrP3aMiFJZ+tMwG7N8OOTSFKRZxeBN+zCGHZuTFmqiHp9AO6PY92z2O5rVhehaWWYbmVsNhKON+CpUHCjq1d3n3HIrderql4Tc4tNllcqbC4qllqC1ZbhtVOxEonYbVrWe7C+Y7i/GrMyy67wK/9xBJ7NjdYXJlguR3QGzbx63uSan3TL03NbvuPndZ8cvOtb3+pobPm9rcK4AcPHKRSqVTPnDm94+HH9r7r2Mlz//nosTNEiaQ7hFZfcKGrONOOufGiC/zGTyxx7UVV5lemWFqpsdKpsNz2WGlrVtrQ6hhWOzErnZjltuVCS3C2a0F0efvtLd7yMsNFmyuEYY2VVoXVrk+ro1jpCjo9wWBoCWNLkoCSlsCDamCZbFo2TEdob8CRcyHPHg4wcZ03vTxEe6s8sW+CXZvhC4/G3H51wHyrT0Ur4iRiegriyEN7MUtLNV55Q5svPNxg92Z4/NAQjxpvfJkhFn2ePZJw7HQFLX02Tmmm6oJqIPB9gRIQGwgjyyCETs+y2jV0eobVnmGpa+knCTu39XjLK1q8/bYQTIOl1Qnml6tOb7c1Ky1Y7SS0ujGrKbhXenC2rVhoJ9x06QXe+xPzXLGzxsLyJCvtGq1uQKen6fagMbmVSn3Tv5mau+LjW7dtPTkcDvqXXHLZSw2l/Pa3BuBnTx9i44Y5f/+Bwz+0f/+h3/vaI0+LxeWODGNXQtobGDoDWO0LLvQU5zoRL7t4nl/70SVuuLjC4uoki6t1VtsBqx2flY5mtSNodSytbsJqJ6bVNax0LfMdwbmWYWqyx3fc1OGWy2N2blQ0qx7tToXAk4AijCXGCIyF3gAQhqnGgENnLMaG3PN4nWGvysVbfW69pkdkVrn/yUmuv8Tj0PkurZUmr7imx5efCNg4bdl3wvLP3tZm3/GAjdOSLz2puPUKxXKvzdFT01x/acj9z/aJhzVuudJnz/YB/bjL3U8oSARHTmuaNY0W0OtLjBUkxhLFgDRo39DqWuqNiO2bh9x2RY/vuDFmpl7hwvIES6tVVtru2Ky0Ba0utDoxrW5Mq5vQ6lmWe5LzHcFiJ+blly3wSz+6wLW7KyysTLLaceBu9zy6fZXmFyBMqmb7zqvt9p17fnLXRXs+tLy0EF595eUvNaSAvyUAj6JYhsP+W5967PMXR2H83q8/8oS32hX0Bpb+MKY/MPSGht7A0u5Dqy+Z70vOtmJuuWKeX/nRBW7c47PanmBhpUGrW2G147Pa1bQ6ilYPOl1LuxfT7iZ0+4ZWz7LQFSx0IUqGXHtJn03TCd2e5c2vGLJrkyFOJFpawgjue6bCyfkKm6dinjtSAVPj8m2KGy4zBJUeTxzqsbBY56pddZqTKzy81+PmSyos9VZZWWmyaZPl0X2Kf/jaLo/t02zb4LHYbbGyPM0NV/R4+LmE6eokV13cZb7V4tEXJqnqOjddZrl0xwBkl2eOCTZMR1xYiLj/GY9BpJASEmPZtTnkO14R0ukqtkwZbrgEwrCWyreA1a5Hu6dodSXtLrR7Ce2uc0vaPcNqz7Lcl5xpC1r9IbdeusB/+pEVbrwk4MLyJK1OlXbPgbvT0/QGiu5A0usL2t2E5VbINdfdFHme9zPvfud3Ha7Vqp/ztGdeamy95JnMwaBHFPV+4NSxJ37zwrlD062VZWpVSWIlCIsQIIjTRwNYhDBIaZFS89jBjfz8BzRvu3WZ733tMru3hpxfahL4VaqBTy3wqFc1naqk0feYqGt6g4RuP2Hj0NAfWjqDgOWFCqdPWcLYcOZ8TBBYQOAri5aCXl8h8Ih7mut2CfZssezY2mOYdPjiY4r9h6d4w40BN1yxwoe/aPFFjV1be+x9WLF1UjHb7FFRVcLIY74D9Ypm20bB0/tDbri0yquvX+SP7+zjew1e/3KLF/T4yqMhX3ikzgvHqly0pcauzQlzUyG7ZyOu3pWglEErC1hqQcDcZEAYeXR6Ps8d8ugONL2+A2K3D92Bpdtz373TT+j2Le2+ZbUPCz3FhRVLbaLFT71pgb9/65BrLqpxbrFJq1ul0yuYu9tX9AaS7iAlodASJ4IHHnrcm5ud+c1Nmx5bfvXtL/sXnU7vjxuN2v+6AI/CLsCPnDn28K8ceeHe6WG3g5Qega+IE4uxAoFy4BZJ+ug6aZS0aJngS8neQ3M8dbDOobPzvO22LrddOWCy0WS5VaPertDs+3R7mk56svsDTW+oGQwtg9AQRpYossSJu4exjzUglcDTgoovmGwIphqwadawbWOP2akWdz0BDzzlIc0Eb7jR47rLOzz0QkQ4aHLrdYJWv8/8Up1bLjXMTvao6oBBrFhoRygjuO5STa0x5MkDFV51wwSvuLbDkwcU2AluvNLnh79zmS8/HfKlx+rsO1lhx5xi03SVqUaNiQZUA/C0RUkwFvYdEySJIIoFYQzDCPcdhwn9oWEwNPTS1bDbh/YQFrqS+Q4MzYDXXb/MW29r8f2vN8Rxk/OLddrdCp2+T6dfBregNxD0h5b+wDAYJmmsYjh64hx//okvTvcG8f/9XW9+tW63ex9oNl86kL9kAB/2V7DW/vD5E/f9ytmjX94gbJda1WMQWqw1GJPafQiEUAghkJIU3KCURSuLpwxVT7DYq/LRe7fxlafa3H71Ku953SpX7+4yM1ljabVGpx/Q63spsJW7h4JhJIliQRy7pd7VbrmgUmuo+FCrGqYbEVs39IjpcuhMxMfur3D0VJ3JoMrNV2puuabNowdb3PP1Ji+/pMKOzT0+cq9AiYBmI2K1O8RYUALmmj3aHR8TV3nr7fN89As19lyo8JaX9wijJe5/doYoqfCyKzfwlpvbXLK9xVee7LH3VI1njvlsm5ZMNwW1QOB77iKU6cVvLBhjieL0Yo0sw8hdyIMQ+iF0BoKVoWC5A0IPuP6yVd7zHavcfmXCTLPqAsmOY+1u360EGWv3hpL+AHrZhTNwF88wtIQxGBTn5lv82Se+tCGM+ZW3veWVdn5h5Y82zE39rwHwZPFXOXr2apbO3PmDw0H/vUsXnp/FrFCteMjIsXR2c4wt0rtESY2UCUqJdHk2eMria0tVC1YGiqXWFJ+4r84jz3W59dpV3vP6Va7f02ImqRLHAb1BhW7foz/UhJEiiiVxIkmMSFcMixSWwDfUKjGBH+J7Q84sDbnzccnh0z7HTk+hTMCezT5X7FbceHkbFSzw7JEGWydrXHURbJpbYbnd5OqtkthY7nosYNiTTNZj3viyAZ+7P+Lk+QaXXexxbnXA80c9tm+c4trdCzy0t8PDzwuGoc/lu6e5fHvA5ds6HDm3zOEz8Nj+GoeO1qlpQaAl9cBS8UBKF1RZ6y7WOIEwhjARdIeC9kDQjiA0McYOuOmSNu/5jja3X52weTpgMJhgqVWh0w3oDnx6fU13oOgNFP2hoD+Q9Icu6B8ME/phwmBo8pVwELl4JTKS0+db/Oknv7Lh4LEL763V6/EHPnznh7/w9Dk+/hs//HcX4P/yl38LOXMfU237/TI6/dvd1vxkIDWq6hHGpI28NpUhTppIKZESlBJopdJHg1YJnhb4nsH3LIFnqfkJkxVBZ+ix0p7iUw80ufeZARunerzrjhaXbx8w6He5ardl+ybFMPJIkiLNL7BIafB0wokLlmPnBat9w2cfqnFmcQobekxVFFtmNDs3aS7aClftaWPkIu//XJ3l5Qlefrnmqj0tvvKMQMQeG6Yk9VpML/KRVoKVKO3TGgguLAuutDXuuLHD156ssmXW5+VXTfNPvnORD32hw2MH6nQHHkurDXZvqXLZ5h4vu7TDP3hVh7PLy3z2oYClXsCJcx5nzvh4SiClRCAw1pIYiIwliQ1TMxHXXNljOIy4fPuQd9wxZMOEYroREEUVzi1U6PV9ekPPlRYPFL2hoj+UDtxDwWCIA/IwYRAahmHCILT5fRjCIBYMIxgmmkOnOzxz4pHZ7ds3/fbLr5uLPv4b1//5yulfZmrbv/67B/B//isf48rveJf4wX/lvXNz87k/fPfte2uX76jR6tQYhAYdaQfw9K6EYyT3nkRJiVYCrdJHLfB0gq8FvjZUPEs1stRCy0QlYaoq6IWSTljn2Ok6v/bn02BiRBxz4zU9dm8KiWMw1mCtS+JIIZBKoD2fAyd99h2uUK9oGr5ktiaYm5FsmNZsmVPs3Jxw2c5VErHE73y6yYmTk7z8Uo/LdyX04w5ffzZgsuoxM2GZbITUqk4KGSNpDRTLXctSK6HVrfLKq1Z5fF+P/ScVk80KL7tykh996xK/+xl48nCdbt+y2tFcWG6yabbGhqkBO2cG/Mt39mjWWuw9BgdOSTzPopQLwsG6/1mIY9i1KeHWq2OSyCOKA6ytMQg9zi/69IduRRuEKpdv/VAwGAoGoWPtYeiyssPQMBwaBpFJ37MMohTckaAfQT8WdCNJK4JuL2LDxJOTb3vZ9B/+14X5+MLyL3xi6fisndn1E393AP7e3/lzrt1VV3ff9SdvP36m/eE/ebhVeXp/k/f+RJtLt8d0ejV0P0Apg5QGJV0QqZRBSYVSKtXbEk+LlLkVQ08yDA1BmDCMLNXIMIwMYWhpxjCMDMMYwlgwiCTDJCBKKuw/XOeZ/ZBYi4O208aeBF+5mo9GAFdthmYVJuqSqYZiZlKzYRp2bBqyeW6VyC7zO5+e4MjRCW64SHHRNsmebSt89fmYC0sT3LhbMtU0VPw+gQywShAnEmEtcRKy0q1wYcnjhsurXHdph4eerLBxSlCrNLjhUsNPvX2J3/6M4fkzDVa7htWOYmFFMztZZ6pZZao5QbMWMVeP2HlDSODFeDpGqQQpXDBhcRdVFCnmFzRRrIhiRRgphlH6GEqGkWQYSgahZBg6Fh6EgmFoHagjwzA0hBmwo+x993v9yAG8GwlasaAdWqLBkOt2LvHLP7HAHZefry0uTHw4TP7AXGhd8elDz3wkueS6f/jtD/Bf/6//nXq1oh47sPCO86fP/vHBQycrwcQUdz2m8TX8xx9tcfm2BK1i1CBBS6etlbIo5VjdUxZPKzxt8UKJ7wl3EjzB0FeEkQN6FFnCOHGuSFy6JxAnLspPDE5vG3JwCwFKgpbgeRBoQSUQ1AJJvaaYqEmmJgQbpmN2burRqK/y6a+F3P/sNKuLTa7Zodi52eOS7QMSscpdj9Woe5q5KUWjNuDZI/DCUc3V2y29oeLaSyKu2WM5fy5hYcWnP6jxpps7PLi3z6EzinpVEvhNrr7I8B9/cIn7nu/zuftmWWpbdm5IWGlpJpuKibpHo+ZRr1oqgSHwDYFO0MpJLZm2VlqLS1gZQWwkcSKIY0EUS8JYEEWSYeSclzAShJElDGEYJYRRCuqUOIZR+V5i7UjQiSStGHpDA1GXG3Ys84s/ssQbbxKstKdYWj1VieTUnwbV4B8LOfXJA0//eXLZ9d//7Q3wKLZyfqn1vYePnflvz+87UZmoaCIUiW3wVw8LwlDzPXe0eOdrO0w3YzoqRqkArRK08vCUwfcUXqgJtGLgOaYZepLQF4SRcCcnUkQxhJF0DkJc2H5xYkgS5y4kNnVKUrckc2eUdLLH14LAl1QCSb0qaNYskw3Dxukhc1MdYrvKJx6UfOgLM2yoVLhmh2DHZo9dWww7N6/w6a9blpcrXL5JMdWERi3iwnHJ/EqAvxuGkWBuQjI5CYeOWVbahvOLFS7ZVeG1N3a484EKMw0IfB8lJ7l6j+DH3jKPJ+f5q4emeOFMhY3tiA2TMRN1RaOqqFUl1UAT+BB4oLVzmKQAKUogx13YiYEkEcQJKdAhSpwLEkWJI4XIEGaPkUltx8yVSS3IWDCIHWu3I0k7MoSDiImgw7vfuMg77+jwuuslrU6D3qBKbCp0WkcrlVj+YWPSaim9/47jmW9PgL/vQ58hScwPPvzY0d/Yf+hk09MKH2h6htgq2qLOXY8pvv5chfMri/yzf9BlqhlRCVzGUesETyeEkcbzEkJP44dOmoSRS6U7xhGOiVJWimOIEkgS5yQY4wIuY2zWw5mC2wHcBa4CTzuAVAKoVQyNasxkI2Zuss/s1Cpf2x/yp/dUOXBskl0THns2wbZNPts2wmU72vTiNo/ua1JVHnNTiskGTDaGTE3E+L5GCHdx9Yc+y+2I1Z6l1Y2ZX/HZsanBKy6f557Hehw406QWRHjKR4gJ9mxV/KPXL3LTZfP86T0NHn1ukqWuZkMzZrIWU6tIqhVF4AkCT+J5LlZRitQ+dCi3uB5WY8iBHicmXd1SazE2xIkDdxxBGNviHjlXxgWSgl4s6MSCTgz9foyJ+8xUO/zk9yzxf31fj6rvs9qu0x9UGIQeUawQQtNZPdY01vzO1NzV/uHnPvOhi69+27cfwFdWWyipfuQPPvSpXzl16vRM4AliA761VDVYa5BC0m5WaQ0Uv/Fxj31HVnjrq7rccX2HjbNDOp0q/WHAMPQIYo+hpwl8Z+9lAI8iSRi7ZTeKU087IbX+SJlbYiwFuF2SMmVu0MolTHzPUvEN1UpMoxIz1RyyebbNhVaP3/usx12PT7O8UufiOcGODYKtG3y2bRDs3jJA+6t89H7N0VN1Lt0omWpIJuoJUg45s2AJtEQKsFYQRpqdG9o8RkK7p1hpWy4sV7l0W4V/cEeLT37F5/iFAE9HCOFhbJ0olty4e4Wd39fmrid7fOSuaZ44XmfrlGC2nlCvJFR8QeAJfM/FKlrhAmcp8poMi7vIjMU5LYkDfAbyOHGSzoEdwsTVuoRZ8igW9GPoxJJuDP3QEPdCts22efUNK3z3q3q86SaDpsbySpVhFDAIfcLII4oUceLO1dLC+Rmvuue9V1z/dtXvtz9Qrf7PqSn/nwLwdquF73v/5HNfvP9Xntn7/Abfs+4gJ5ZMHYh0+VRC0BEB7VDz0a8G3Le3ww2Xt/m+17kquJnJgP4goD/0CTyPMPYII50HSnGsiBJJHEuiRBDHkiQRJEYUWtuI/O9iS39bOdfBySBD4CdUg5hGdcjsZJd+1Ocrz1o+9tUJHn1ukinf4+qtls3Tko0zPlvmJNs2hly0dYW9x/t89sE5JpRmbkLQrAuatYhWL+ELX6/Q8F3ZgbHQH2reeuuQzz/iamJaXcP8imbbhgZvu63Lo/s77DvkUw9ilBQO5KbGIHRa/x+9tsWlm+f56H1tHn5hkpMrVTY1BRMVS803VLTB90ArgZKkCTLSHIODukmlmjHFChenQHcEAVEiiJIU2ImTI71Y0E1wMU8YUq/2ePcblvne17e58dKEjVMevUGdVjdgGAYMI49hqN05S/MOUeyC2lMn9m/wqg//yu5LbzftdvuDzebfPMj/RgG+uLTKifNdVnr2Bx6998Ff/8JdX5lZWVnB1yrPtAlIkykZwC2+EHSUoufVOd0OOPtIjUee7fLJazq847V93njrgOlJn3AYMIy9lA283BGIk4wZJElSANzYlLlNkT0SaX2Lkq6OQ2uD7yUEfkQ1CGlU+yT0+fKTkj+/d5Lnjk0gooBdU5bNk5bZScXctM+mWcmWuYgdm9qcWujwvs/ViYdVtm0TTDY0zTo0axHCC2n360w2LEIIrIUolkwHitjEdCKfTi9hpa04s1Dlyosa/Ph3rfLe/x5wYqGOVlF6YWjiuMIglGyaCbjx4jbXXNTl+RNn+NhXq9zzxCRnW1XqgaLhQ91zCTBPgZYune/qeYqbAaxxF11iBImFOBHOP08EYeKSRP1E0E+gH1viOMZEQ2Yqfd70ulXe9boOt18dM1HVhHGd5VZAGDnGDiPNMNJEUbHqZgCPE0m3t8qzT923QQj761dcc2Ns46N/MoxmqFQn/3YCvNPrs2tz/bvvuvfx3/3EX9zTTMIWgaeJjQMVQiCxjlFikML53VqCn0BVCbrKpxdr5ocV/uqROvc/1+NlX+ryz7+nwxU72myYVDRr2h3E2COOdQ7yJAO4kRgrsdZJApsHlGmqX1mXLNIxgR/jqZB2P2KhHfFbn65wbH6KJ/dNYo3PTFWwYdYyOyGYaSpmJj02zkg2zcRsnesxM7nCXU8Znnhhkmu2CaYakkZN0qwZ6tUQ4Q0JAo1W7u9bC0ki6Q81/UFEbASdvqHTtSy3Pc4vNbnlsi6vuHKVj36pQnVZoWXkAGk1ceITRq7Hc3aywk17utx0cZfHXn2WEwuSP71nkvnVGqeXAnwlqXsCP5Nh0hFLTuSZVMExeWydjIyMYJjAIIbQWEhiiCOkGrJlqs81O935uPmKhGZVE8d1Wh2fYeQTxTqXI2GcZoszORlL4kQRxa5mxqKJhqucOnTPTKMmfnduy8tX4qj32b9JTP6NAXzf/oPs3LZJ/f77P3LxM88eaIb9FWoVz7GGFEjjDm4sBDIpg1uglcWPLUEiqCpBXwt6OqCfeCyFNe55YoKvvdCnHgz5x29usX0mZueWPrdc1UEL1yImhJMrLivpaqWtLTE3FiEtSjjP3BKDjHn+mOTx/Zo7H23w/MkGYVyjoRVzVct03TJVs84Hb2qmJzQzk4JN0zFb5vpsnlvh/ueGvP/ODWye1Mw1oVlXNOuCRi2mGgz52kHFINR4dQcqawVhLKloxfWX9nnk2UlX+NRPWG17LK4GXFic4sffcoHTi0s88vQcngREhAHiFEDDUNLta6YaFSabdV5xaY9XX9Pj+16zwP5Ths8/WuHR/VUOHq0TC81wqOhFCiVkXv4AWeCZ5gSsITYWawyeSJjwQypEvOKGLrs3D9g2G/GeNw6p+op6RRNGNVodx9ZxrFLCyZg6u8uCtWNJlJZFJAlpaYRmfrFH9NTXmnNnFy5++e3vVqdPHk627bj4bw/AX9j3Aps2zviPPvbYDwXa/Mawv8L0hF8cwMyakrgspQQphUvmJBadQKQEXmIJEkslEdR0yiKJpp9oekmFTifh1z86hY0jNs4NuHLHgJmJmHe8ts+ODSFRJFK9LaHE3KT6U0qDkIJP3Vdl75E6QmtOnK1x5kKNSlUxEQgm65ZmxdCsQKMqmKgpmg3FVEMzMwmzkzEbZwZs3dAmsat86sEm/W6dS7ZZmjVFoyZpVA2NSoznhdz1SIVhT+JtcN2imUSpVxVvelmfB54ydIeSbj+h3dOsdjTnl2pcsbvBO25v8+TzNU4sN1DSAFGqlz2iRDGMXGKmO9C0uj6Nao16dcgV2wa8/LIBp+ZbHD+3ivYSnjmq+eRXawjlCtcYnz9oDWDAWqIwYefGmHe9ts9sM+GynZaNM5DEHsOwQRx7rHQ84kgRJUXyKE5X0jBWxBmg09goSmOjOL1n8RGAtQHtXgtVMb/x7N4nehs27/7QwYP7wksvveJvB8DPnT3NyvLipadOnf69vc88IRtVNWLNJcamQZ8Dd6JAJa6GWKdBjZdkCRlBYCyV9OehsYSJIDSCQeIRGo/IwEK3yVf3GiwJf/moG9mANek9y+KlFpnIKhIlUiniSCONxtOSRgC75yx1z1ALDLUAaoGgXpU0qk4OTTQkU02YmYiZmxqyZa5Dwgq/9RcVHnp2A3tmYKqWsndN0qjG1Koh9VqfarVGoCRKphocJweiyGPQF/SHCZ2hojswdPrGtczVfU5fmOCVVw75qXde4Dc/qTm5GiCEwdoIk1ii2COMJIOhK2Nt9DX1ik+tWqEW1KgEEY1qyI2XhPhexM2XxLzndT20itMkkEEIOyrKU0lnjEQISeApwGcw1CytaFe3k2QxT3pPZUfOzulj5pY45i6AnYE7SdKEm808ecsjjzwhrx6o32u1+w8Oh4Pn/iaw+f8a4A/e+xkmJ1X16LHDbz925LBo1D3nQ8eWxDiPNQd5AokUxCnQtYRYkUbtFi+BOIvoE/d7WWSfGEGUvTaC0EhiK0mMJjIBSWp7lW95llKAFsJlKhVUqpaKtlRUQuBBoKHiW6qBoOpLalVJraIdwOuCyYZhuhkzMzlkw3SXLRuWeP+dho/cs5Htk4rZhqFZVzRqinoNatWERjXi3JLhyLmAiu9qaiCr9BMMQs3uTYZNswPaA5/+wKYsLlntaBrVCo3aJO953TxHz53nDz+7FS01FkNiEmJjiWLNMFT0Q1cU1atIagNNNfCoBgmtjosxfM/lEzwvQcskLYlI8sI2IdK6lcwCsG4lbJm0ytK4uCZJJMY4QGevHWizAF/kwI6TtcDOAtjs0WTJppTY+gN49PGnxc5d7bdv377zyEf++yf7//D73vHSAnxuWvjd7vmfG/bO/5wnB7JRkwxDUFGZoQ2JsRhpiZVFJYJEOc9VG/cFM8/a2VXOk00yaWNIV4Hsqk9XB+t0XBYolTU3kDo1TvtradCStKYFPCXwtHW+sRZUAknFl1QDRbWiaFQljZplop4w2YiZbg6ZneqxY+MSjx4c8tH7tjBVCdjYMDRrwoG7KqlXDPVKTKM25NED8Mz+GhfP2VT3Fmnz/lBx82WWS3b0eey5SXpDS3+Q0O3rFOQetUqVamWSd79qmWcOzvPIvk1gFcYkrhw2tsSRzetJ+kNNbWCpVhQV3xD4HoGfEGiTJs2yMghTFLYJ6zqnKPRcEZy7EmKTOVIms19LVmwGbJMCOAe6O1frgrt0vl02NUskWXqtjkzsmX+X2Ipfqzd+CQhfMoBb25VR2PvFxx/403/R75zxq4Gf614pnIcaJxYVO3mSKKe5E2VIEhdcJsaik0LCmPTAJLnEwbFzCnKTZuKyZIW1hbfuTs84wIuEjpJpxlJRKtpy2b/AV1QCRTUQ1KqCRtXSrCVM1GMmG0NmJvpsmVvhkQN9fvGPN3Ly9CQXzRoma9CsKupVRb0C9UpCtRLhewNaA4uSCk+5PEB2cydeEsU+zWpELzb0hllzdUKnJ2lVFbVOQCVosGtTxH/8oRb//sOSr+/biEVhrCFJDHESE8aGMFIMQkU/kFSHioovCXxL4CsCbfA85/drlRaxqaxq06Yxih1t0E1T+zYlEZvWsiQp4BNTPDrAylx2OMAXz5PErbpJkoI6B3fmuRtXEhAaohgOHT3jx6L+Mz/9z97iLSz3/s3cdO2vnc7/awP85Nk2J8/Gv3T++Fd+uts6VvE8hRe7umw3eMdZgUqKXJYkiQO5SRk8Sd8zyuYsbYzN08gm92jBGtfClqQloOU7YwBPZXcaWDqJoqRAKWeX6bQVzdOSwHcDgCqBG8lQDSz1iqFRS2jWIiYaIdPNPlvmVnlkf49//6FZDpycZue0c1gaVUm9Jh17Vy21SkKtEhElIX/2pQZSKby0/DdncJst5R7/6A0r3P1ESCcM6KUA7/YVna6iFWgqfkDgNblse8x//uEl/u2HBA8/txFjZSoBDVHsCs2GoWFYceWuQSCoeILAd5lNX9s8Y6uVQao02BfOts0BXqQ8gZREcLkE57akgXwG4FRHmzy5Rsru5CtuvjInKVElxSodJ8atRLFJC+MsCMXz+09UHnjo3v/j+77n9cLa1Z8X4q/njf+1Ab544SjW2lc8/sTz1emqW9KksmidlqAKx+Iq1dgqcUBP8vRwBu4C2GWGNqZov3JAF66OIgN1duDHPpegyFQKUWTyMvbWOqs7kXiedPUbvqASuJkntSChXnXgbtZDJpt95iZbPLq/xy9+cJrnT8yybUowUy9Jk4qmXnH1K9VKTDUI8bwhZ5am8JRASZPackWQmSSSOFZsnrLEcUQ7qqSdMob+IKEzkFR7iorv4XsVPD3B5dti/vM/WeBf/xE88sIGEiMdwBNLFCcpkxuGgaESSga+yiWY54GnnURzdSoWnbpaUoBIH9fBuJMrpEkhRJ4cMmlyKMsWO+uPHOhFYVcmP22+EieJSWWok1pRCnZjLEoKAh2x77mnqwevufgVQv71d5z4awH8wLOfZ3KqX3v4wa/4gewRxjpPB7sub5AIpHA6PHNO3Bd1QDfGkmhysBdgLsuQ4mc2kyPZ8xf5bFIURVQytyNFmraWaaNEJk+g4kHgG6oVSzVw+rlWjWjWQibrfWanWjxxaMC//cAUz56YY8ukYq5umKgKGhVJraKoVQXVirs4XKo/5JF9gu7Ap6LIbVGRJleyQDOKNfWK4parOjz6fJNe5GRKf5jQ6ys6gSLwFb7np/p5kiu2G371R+f52T+Ah/dtIDKSKA3mMx07jCxDXxL4xrG3V9TRa5XdSWVKIeNkmuVdD+RZUshmAE8Bn+TOC6MrbyYtk1ECy1ftLKZK61+Kwjh3/iq+5MTJFu/74F/5b3nzm2p/9rHP997z7r/3Px/gZ0+fpDG5ffLQc598n6+6r6oHkcsaAiIFt2NRi5ASKW2xbElSxk6veANGifVZuwRokwO7aAom1d75yRCuoEjIFNxpkZHKAe7a3jztmMz3wPcMFT8tsAoSqqm8aFSHTDT6TDXaPH14yL/9wBTPHN/ApknNXM0wUYV6RVCvKmpVRS1n74RKENOoDbj/GZ/VVoWpqSJNngHGpNo0ShQbZhSvu67L/Y8b10UTmhLIJRVPUvE0nvbRuoqUhiu2W37lR+f52T+wPHxgA5HRRGkFoCt7dUweRDKvLvS1ROu0CEsKlM6ODfnnyy7CTKqIrCqNIiE0fjelR2NKj/nKW1qdTQnYJaDHSQH2JI+vLKudCCt7rzp+/Ngf/dg/eedPvOr4idVdu3b+zwX4oHeGaDj/sxfOnfzednsZz/Mw1qQF9SngBAjj0uJGugg709mm3HCQ6+wU7GlyJmPvkUBynLlTpGcZuVx7y6yCrtDdWcWgVrj6DG3xPNdYXPENFT+hWompVSLqlSGN2oDpiRZPHhzyc38wy9NHN7Jh0mNDLWGiZlNwp+xdkVQDx/6VIKYWhMRmSCcMEEriZQyea/DU+zVpIiTyqPsDVy4QVpjKQD5I6PmOwQNf4mmNp4O8b/XqXZb3/sQF/tV/Mzy8fyOR0QwTQZiYlMUFlcgQeBbfc219Oo07tHIlwkrK9PikXfnZY6kwK78wy7HOGLhzEioRUxnceVyVvU7InbAC6CnxWZtfJNYKFhYXOXzk+Pc++PBTR8Iw+h9u5vwfAnhr+TT1ia07n3/sfdcoc5JaRbgRD1ZgpXNCpLGoLLqW7oMqY/MLwBX12BLARVoQxUgAmYF9vJ7EltfMjLXLQWW23KY+u0qDKa3TzqC0CCmrHqx4SaqbI6qVIVPNHhP1Do/si/n598/y1NGNzE1o5qoJExVLIwV3teLsxAzc1SCh4sc06yH7jlvue7KOLyWeMmkQV3gUWeAcJYrYaO64MeLii7ocOVllrkbRyDtM6A1SFtYKrT2X/ZXOu75qJ/zqjy3yr//A8ODzcwyiKsNEEsaWWmq9BR4O5DpbvUze2ypVkq9wSooSwEUJ5KzRKwXI7SjASyttAXDWWaFHa/SNLfR5vgrkUk7z7IGzqOCxa37p3/zYziNHT5/Yc9G2v3mAJ+FxpFfdtXzu/v9iosXvlrZL4HkkxuRetDQiB2wG6sJOSkFubf475S9U2FGlyL3skqxxS0SxWpTBLSxSZbagA4NWKWtri68NnmcIPEPgx1T8mEoQUqsMmZ7osdLp8cBz8Kt/vom9h2eZTcE9WbU0qoJ6ReReuXNejGNv3wG8GgwJk4RBv0JFuYtMitLST6ZZRRpoaqfl9ZBhaOlHogRwg+8n+J7G86SbKiC9HOAIuHa34Fd/YoVf/+8xD++f4WyryaAumUwsjdhSSScOBJ5Nvf/MSbE5e2dSJQN4/nnTD13Gea4Q05Ni83NVAvsYkxcSxo49ZtYv64Db5kTQXu1x+vzKd3/izq8nt95y3f/xzKFzx6+7ZPPfLMCX50+jvOrLly7se3tr6SBKVxHGOFBnQYYURcBhZbo0layk/AKw+RKUAX5Ua68FeHaIy6own5tCOViyeTd+MRzIlcV62uDn5bEO3IGfgnu6y8JKn1/5sxqf/foci90p5iYkc5UU3BWnu2tpYFkNJLXApgzutHclCIGQe5/2WYl8ZgJG6rERoytUkrjmh2agee0NPR45ENKJAibyjnWDP3S16r52ANfKoqSHkC5Bg4XLt0t+85+3+fwjfX7pgxs5vThFf1Iz6QsasaEWQxC50cu+cgONvCzQlKJUG+Qey4F6+cIUIu8Vyc8P+XkqnbvM7YJctmSrdMHqZd0++p4t/9yClIqn9h5i69aNb5+drv1Zp9M//jfK4FHYQ3vVS86dePB/P39mHxY/ZxGZgjpvbM0yi8a65IAVJcYWefbRmiILac2YDTXO2mVZkh7ojFnyOSqpC6AygCuLlg7YWjlwezrB9xJ8L6biRwR+RKPaR+se9z+T8EdfaHLnQxsITZMNTcFsxckSZwFmPrlK7yJl7jJ7R2g95GsvTNILNZtr2ecZZ/AsyJZEsaLiKV5xRZ/YOID3I+G61lNvezA0LjjU6WyY1N4TaXLdIpidFHzva7o0grN88At9HnhhhvNRlV5F0owtdW0dyHUahyibxiU2BXl2DEVROy6dG5Yd6/EdBXOpkrE5jGnzcvdQ9r1LQLdrQT3y+xTYqPiKJ598jttuuvR//+43v/Kpdqd3qPktzD38pgBfWTrJvr334gcTWzorB149HLTwfeXqqrOrt5TeNendZoFknvItLoDsBI9o7dR+KgeSeeq9oO0U4HZMmpRnqWSj3Uxa852CW7lajMCL8P2IihdSqw3w/R5/fo/m1/5kA0cWpvGCCpsagukgoRlY6gHU0w77auCynZU0IeTqV5J0JXDyZLGd0A19fKXws8pJUXx+S3FhZ7UbYexR9QZsmuyz2mvQj0Q6bs3FCp6XpDafSu1O5QA+Eri6ysfvvr3LzVcu8Kt/OuAjd82xHNfpBR51T9LUrgYn0OAr8mYInSV98jk0Is8C500qZU0+IlZGgb7eClyAex3ArwF4OmLVjq4SUiqWlld59tl9rw5UsmVpuXXo8JGTXLxnx/87gFubcPEVt+yaP7v//Sfm9+FL6TJhuWdqcwYv1y9koLYlBrem+NmaQJLiOVas63MLbMEmMhvEWQK4tCjpJs8WzJ2kII/xtZMkgT8k8PocvxDzh5+v85kHZzh6YYpmzWO6AlNBQiOwaeo9A7dMwS3zpFAl1d6B7y6cZn3Ip7+mOXSiSiWdwJW3i1GgvLzaJYkkijWX74TvvLnDH31xhm5N04zc7JEgTOMGZdBapmPrKIHcK50styrsmJX8/D/scc3u0/zBndMcPT/Bclyl52nqSlBLge5L6y6c1GXKV7/suGb2IU6fFwC3a33yDOS26Pt0F/M6tqIZZemc9MZ/t3Q5ueI8xWNP7eOmG658/+tfe9ubV1bb31SqfEOAJ0mIlB5L5x/ZFnae2VPz5vE9lQ/oKb6kGAGpY+eiKm38fVO6GIorVRTLXZm9IS0Gyti7ALZ7LE3Dkuk8FZmxd4KnY9e5o2OCYIivh3SSkN/7hM8HP7+JM0uTGFVlekIx7VsmfEMtZe5anr6XaZ1KKk1S7zwHt++yl8Mo5NDpgG4YMBWkLk6WdMoYMMvC2lJNSqRp1jW7t4WoYEAnbND3BdXIMswArpM0UaOcjy2zEuD1glfF3ESPH//uHm+/4zwf/HybP/zUDIv9On1doaIVNS2oKksQW8fm0kkVLYvyhizLOc7ksI5cGXdYeDEmFwWQGdXaIw5a6d+RuM+USMWRU22+8rV9e1DBtje/9qbjYRjh+x4vdvuGAI8G51Bec8735CdM9yFvasICcZ7IcSuVKH2JcXYeY3QjGJc07sBkX2h95s4LOdMDDZlVVmbvtEpOJQ7gOkGrBN+LqPghvhfSGoR8ba/kz+9p8qkHZxgkDXzfZ8YXTPqGum+pBZaaX4C7EkiCQBKk0sQlhlJnIgW477nM57FzlgeeqBFGHkHdrgkws1ue5k5LUcNI4Xma193c4aNf7nLgdJ1+xY1mGHoWPwYvMnihQSnpfGspkEIWw30owJMYSWwktUCzcbLPv3p3jyt2DPnIPQ0e3zfBQr/OQPl4nqaiBVUJQTZgKbNXpXX5BEEJ5KM1K+PFWWVGz0mLErjLz8uPiFHJkoO70HVOlgqs9fjkPXu9193xsk+cX2hdt7zaXfhrM/hjh2fkhHzu5bPyzolq0E53CpYjQLTrATytKV5fkojivxu5UkcZfKTwx/XoOCbPU8omL/eU6ag3rRIHcJXkckTriFY34qHnBH/8xSb3PDnBcquBrFZoVBWTnqXpG2qepeZbqj4pazvmrgaSiq+o+IKKT1qhZ1JwGwLP6W+lhxw8DWdaFZdYSfXtaOKkqJ9xfZAO5LGRhKFmY1NwyfY+z56M6UUew3TGtx/iwKeyybpZogbkWGdO2a1KEkmUuPrwd72uzxtftsJXnurw4buaPL6vyVKnRkv6dH2NrwS+FAQS18Mp3S512YzIrEFclHIPlM/VKM5flMlNadUu28NmnM0pmDy7WCyu2CuKY97/8Xsn/v1P3fLyay/f/UW+wfCgbwjws+fPBBes+W89tbd+1fY2gyhw2/YZWYA4Z2SZV5y5QEGUGF2MXQCZJBkd57BmR5URaVJMnhW5LDGp5jYomaBkgp+5GTJioRNz/xOaLzzU4LMPTDDfriMqFbyGR1PDhOc6eaoeqeyAqi/Su0xLTlPd7QuCjL0zgOsY34+p+CHWRtz7ZMCJc1VmpwWeNKmOFUWjbwkFeflpKin6Q4+dGwWvu6HHZ74e0o08+pGg4rl+VT+dLFWsUir3qxFyRKa4uywaFYzz26vBkHe9ps933LzEXz7Y4fMP1bh/b4P5Vo2+8On7Gu0ptBB4UuBJiSdsKrUsClGShqP24WjYOQbwnABLJbgjgE6LtkjrVywkiDGwWywWYwwMQ+YXn6lv23TNf4NTVwD9vxbAn9v3JMNBi/7yKu/9yR56GBPHutS1LkdAbOw4qIuDnV+FIwyeLUNjNgljAWUJ2EKY1A40iBTgWif4OqJSiRgMEw6cgeNnFR/70gRffLzJ/EodvAq66VFTkoZnaWhD1bNUPah4DtwVz80kdGWmsnQX6c9tCnKTg9z3XHvakbOGZ48F4HnpMm9LKfoRC2JkqXb10oI4ceOcr9495MptXfafqdGvCGqxIIgsQ0Vq7ZmUvTM3JbMgC62S++ypFWmMSqcPeAxCj2p1yA++achbb1nl7ie6fPzLNY6frbD/TI1wNSAONAOtkcpN9VWATh8zJs+ly9i5Whfga4AtCjCXQF2wusWQtR5m4jxJK7diVDTkrTedpd/aN7nq/dD3r3TtH03VBevdXhTg1h4SUdT93z//2f9n9j/9kcfDz0puvbKP50ukkiSRIgxVOntEFkAuBZgZyxtbtEKNADw/EmX2LtyZQvO5pIaTJCbd5SEhCNwk1ThJOL8EX/qq5sjpKvc9WuXMSpUjZ+sQBKiapqIVdW2pa+NcBM8SaDc4PvBIQZzdZXpXKcBJNXcKbi8h8Bx7uwsr5NgC7Dtew5Oj9mAuUSjqwQs3IXVSTNbX6HHlzj6XbOjx3NGYXuzRiARDDX7sZgKqEsClFK6grcTklJnRlGRQIvM+yijxGHo+zWrIP3rDkNuvaXNmpc29j/kcPRVw95M1zi5VSPoeRmoiXyGkdCtF2pUvSTOeUMiW0mkspy5GbL/yc2vyLKj73cwnzhqgE/c6SiBKEDpBqojbruvzmptD/sufHJ58z7u6P+V70QfHFpBvDvAnHv88SRJ/7wtHztdPnA34Z78ecM2eIa++ccCVu2M2T0VcvGuIsoI4VPmYXmNUweYpqCkBnvwxh/M6zG3HmLskRVSCFyREieXoKcGzRxVferTGc8d8XjhWpT10E5XwfFTTI1CCmoKaNlRLPnCgszqNrGzW1YUHqSzxfYXvy/QCsIX29pJ06L7T+RU/wpqQC8uSoQ3QWuJLiy7ZbGMEnoM8saP9jmHsIdDMTYdINaAbefS0cE5HVBSMaWVGMpBS5PCCbNgRAmtkweSlwUheovLxE72hz6apkB0bI268aEg/7POPj7V47rjPlx6p8OyxCkdPVohiBYHCSgVCkshSNij722IdFi0vznmSI41CcoY2xWOWCbIGIoMmYc/ukK1TEZfvDrnjxiHX7onYMG2Q8T6+fN/HkPLFhci6P/n9P7mLzz/cUl9+7Cnx3HNbmO8ZLrQtzx2LufvRkAkvZsfWkKsvD3njTUNec0MI1tU4VOsZqCUYN6Y3kzJFcCrWADuLlEnnl3jagjAIaYlCS2/gGP34acl/vyegFymefqHC4VMBi12fYeKD9kF5qKbCl4KqgpqyVBRunJlKC4+UY23fEy7pUQa3J/FTWRL4EPikrolLmXva4HtxmhGNqFZC5lcSvvRwg1YnYGpCoKXJSwYyHKxdIbPzKfKs5nComJ1RvPGWAXc/3udkq07fk06maPBiixdlnnXqscvE2YWUZ53I/G8Yq0t/wwHdTxSJVsReOvYh8pyV6kXU/Yjbr455xRVD3vbqAQdPSZ7Z59EPFR/5Uo1j5z0Qkl5fk4QqK9/E6gzgY5ZRxuojaekC2CIGYSwW1y1RrbuEnMDw2huGvOGmIVddFrJza8KEFsw0BNZqwljy028f0I72ismZV6ofOPnZeG7Hd3/rDD4zMfF7p89w7eKwCYHTQMbELPRd8HZsOeHh52M++eWY2akYaww3XBryrtcPXGNDDHOTCddfHVKvkK5T4kUUtzsK2XCeVk/wzF7NUltSrUge3efxuQcrDCLFIFKcO+9jhCayHkZ4oDUi0Ggp8ZWgIi2VFNiBsgTKuhpwnXq+umBuP+vLzMGt0h5NkbO37xl8PyvQSnL29v0IpUK++pTiM19voHzt7LYR/f3iDJ554UmSOR6KwcDjrbf2+ezX2nzk3gm6cYV6qsO9TIdHWVLG5t1CQsgcYO5PyZLWLwHcpCMdtGNyTytirdFx4oCuEpRyg/SnKjG3XhZzy2URVgx5x2t6DCI3zu2vHgx4bJ9PNRAsthXPPOfT7slUJYl1z3DOZGnlYb1iuP66iNnJ2JXMJpZ3vX7AdZdEWCPYMGWYmrAoFBa33Uy3r0kSTZwolFA0vORaz5/6PeDHvyUGn19sMzfTaP7q7//lZdqGajqwDKyibxSJ8bDSy8E+NDHnW4bzq24mycGThs991S0v1lgmphJefk1Io+rqgMcqp9YAnNR1WO0qHn/Wp91SSC0ZGsnQasdMQuPmAmuQGiklnhQOzNISSIMvHRB8Bb4qZvQ5kIui4UG7RoCs8bgMbsfwaVmtlzF4UrrHBDrC2pAziz7hsEIwIfHTtLdKq/JGsphZRw+UgnJyZk2MIow8phqK7bMhvhjQjwP6saCq3RDMrIYkS2gpWS5vlfnfcn9DpvkHU2RPjUl7JgtpFMdJmjdQ6f5HMVGcoKIkndOeIGXMtlmTrhiGK3YMCG0fqQ2tluDxZzWrPYnKFctoUD3+jjGWesXyimsjJiYtNnHHoioFSmSxm0eSzZ40CmPKc1k0USQxWOXFvcs27v7epolX21JPfhOALyyysrLy3qOHjrzGDjtMBZp+YggSQd8IholHYnUOdKeZEsAQW0PLpAGCtLRXLOfuK+uu8iOjX7u0vFkhMNngFNKaU6GKIEfK1MrKQJ2mnSXpxq2Zb1x61GknvSLdeo8c3K6tS+Gn4PY1eYmpY/CUxbXBT7OjnhcRBBGnFg1/encdtI8nRRFg5vJErGHwsruQDQl1YHMnMIw83vPGPn95f58XLjToJh612G1K66oAbdGJo7KcQBHs5ccyWymMLBV4ZXeT18JorfASNy/FS4GuZJE0c3Xj6XNh0sFBCVpYhE2YrRn+3isNiCSVmbiOlzXmIcV7mWQ1GhO7aWTWCuJIEtlsTIUs2Z3K3fNBq25i7XAYEXLyNdXpU++1Jvmn35TB7777S0gl/dWl8zQCGMTpNFbAEzAQMDSCyKYOisyi4NJUqSxoAJLS83x9HmHtMsCLZTYLXoSUeQuaEu4zeNISCFct6En3WkvSmoq0ezwrJNKU5qA4kPu66KovAC5z2RL4Nm9p831TGpwT46Xs7esIKUNOnBcstCsIrQkkI/IkT8+L/NuOOAnlwrMiEHQz/maaQ3Zu6rP//JB+ohkkECRuvJ0Xpzo8JneWisOoRjoVMm5xbpcttQtm0sigE0OiJEpn25ertFgtGds3KbVmU5CL7G9jxqxcmwM9Mw3yIzBmLhTO2rjVLNN6HZWuPCnIk2yApwN4b6BY7Cwz3/6q2733mwH86PHTCAHhcICns6GM7tTIxLFGYCBMp5FGmRvA2JB5sv7JcnCxzk24zV7JlvLcgso81xTUwjkTWtq8xiN7nr+Xkn1RCkreYOsr4cA+Am7pHv0M6FnwSb49oZ82SWQSxdNOn/p+REzE579W5cJCFW9C4ZdrOMoOCmOKdKzuwowlfQZDN8H2Lbd1+dreAe24Qk9rqrEhTNPpShYFUVnBmRCGonMoCzSLQiZnHaYzVSwkyv1NbQSxEuhEprvYubKHDOhFMs3kCTYpTSnxZkaScEU6vzRQaFyS5wt7yXjIAZ6uOFbmTlDZbXIAz0Zna/r9Ia3+yXVWizGA/8nH76FRq77ys1+4/+blTgxWpFOhLBaBEBZlIBbgpSMg4hTgiU1bzrIMVF6A9aKiJM+GZR5xOZGgAC2yfkaXMnbzTQqNqzJgS7effDYKoQzsfA6KwvUjrgfwLODMdLfOZIlN9fZoLbnvRfheyPmW4cnDVdA+OpUnulSglH+/MYQ7+7RUP533pcrcE48ijxsuHjIz2ae1UqMXK2oKvNh9F5W4IUoqKgMcB/L8D8m1tT/G5lOqjDIkRuAZQaKkG8ikBHEK8rhUvJaVQ8gM5Bmo02BXCIvEsfp4ki5HdDkZNFaekVvIljwxmE3UsmMAz46TsQIhLY3qgOaUuXnnxa965enDX3ho28VvWR/gSRQy6Nu/F8fJ9d1+hKe9fLaflRaByA+mSZndWMfyI7UFeZCTf5c1tyzYlulilS3nBXuvrYOQglx7ygzsoij1dM3FWaeKkyUq714pgJ013zr2TjW3JtfbmSXoGLsAt5dXJ0YIIu58MOBrzzWQgcaXws3fzisIy/NZshM7ns0s6udHlmGj6A88brmqz3fe3uEP72wQJgHdRFJJLMOYdOUqV/2ZVM6ZsQvqxZgcjJZ5K2EG7kRJlDKO0aVMR0uYUilyUQMkSpWcIwxeStKRM/mL38oFd6OlHcUY7OL4ZPkWd/FKCdYMEZjrB4Ph37PGPLQugy8unGFyovHGT332S/9weXkRJdNRECnItHUfQVq37Ui2x0sB6uKDZkMwR2JLMfLgngvy3R7yakFSUDNarqlKS3EOcJUxOSmDk7dhjbB42g3jqVFwu3EKY8yd9mz6aXubp7OGg7h0jwiJ+Pi9TRIboPLsZTnALPoaM2djRIOnxynvbDLSTYdKsmBTI/B412t7/Nnnh6yaiH5SoZ8IvJicxaW0yFjkRWfOLhzXorJkTYoSyAWJTkc5qBTk2jWN60Smo/ZcBaPLHssC0Bmb5ztTZ48poMtZaEphwTp0VyT+1qs2LTXQZHZn+tqmtrOUiqWlBSLV+ocXX/mG+06dOnX39u3bRwF+ZiGkPexf/MyRzp7Dp9tM1oOCWaWLE7ITNALscjVhejmW5fZISFkywTMnSZaAXma88mPG1mXNmTF5ebaHUqLQ4mnF3ciwmxTYWonCScntQNdx7xqTbcrcRYCpS+wdeCFPHpYcOlvBKg8lJb40TlKV6zRKAnzcRcnueT9r+QSmjkoUe+zZEnHlRV2+frBKpHz6saAi3bhpHQsn59LWQRmnOhzpAr8xEI03mpTnmBTuiqt3yeZIqlT6FeDOaoHcDtQ5i2fyKAO2KGWl8/NdoEGM4MPVMBTTbUnjlLXNM+WBoNn3kVLQqCyyZXZxz0S9d3HiD+5ew+CtlRVMNCQZDPCkyPVTBkSR6vGRzgsY0ZJlWfKNbuONrDmgYSQ5okQBelmSJk4GCNc9LwpwuyBT5N3iOge3HAF4efiP67YnB3aercyZO8HXLrHjuoIiLBGfvLfG0lIVEWjnu5cvwvEalPJZLRcgmVFWHfGmjSKKNLPTkne+rsOTh5sMkwo95VNNnBbPylmVJAV3tlaY1BNP3a2UxRljR5POeyxPpXJ3iTLZimTz5w7IckSLi/R7O1DLvEZ/FOTjevzFb2uaYGDswiwAT/pzISzGevT6lpXlNiYpigtzgP/ehz+LUooL8ytUA5XPsy5AaceSFCVA24KpvxnARyYnjUkTUQZ0CSRZE6waGepTzBzMAZ6zeCZXJEqPAtzX6QAgL9s6MM1waouXp+JN+jwZuWvlOndeOAGfuKfBUPooqdLs5ehMlvEM5jomQn68RnV4qjXTZEaQaN75hgF//MUee49WiZRHT0r8xKTukUAmNpeSLvATedmDu5n0b43uW1Rm8sSAzi1EN/FXpSUBKrHFsM68Bl/kF3Qsyjq8xOBlN6W0Sn9jgLujVWBLjLS1FZ1fxT9kEpDCZ/HCPpaXTo2AUAMcP3GGnTu21P7pz/3u7m53Pt9jsQzc7I9nrC0p/XysMnBN5qr0pQpwF9oslylilMHLS30GnPFxyLLE2FmQmU1t0jrb5DXV3moM3Fn63ssak42bGZK3iGU9nXF6j1BeyKEzmk7og9KpPLFj5bFjF++4i1LSw+WJBHkq3ZQTP5q6J7hs64C9h0ISE9A3PpXE1WzrVIMr4TZydYml7PQbsiCz3OGYZzjTlIXOB5tmM23cdjPakHYQWTfQSZaALS1Jxta5RCmBXFpnIORJ3DEXJQeDXUeulMttR1k8Z3Y7+t8IoFGJmN0ws/viG/5FrbX8z3sT05sdwM+dO0+73XrDjZdt+NnjB5/HqHInxWiwaMr/cH4B2DUXwzhrl3E+Ov9ufWBnfYzjrKhGhmpmICcvIdVKIEuypLyLsadIvXAHbgfgYiiQV5YnZfZWaV+nH7LcMfzXv2iw1K8gAs/JE1lkFrPRC2WQfyO2sriyWZvNickZ3Dkqcaxp1jQ/+Q86fOXJJktDn1Bq+lLipz2UxciHFHBpXQ+pLs7KaC0mBbfJM4eFsyJSBrd5kJ6BXUmRMriTREnG1unfzrqs8t7Nkeelcz7mpmRl0euzeMHkZcCbkQug1B1kJO0LAt3Y+bNnTh56KIr6f5kz+Av79lMJAs6fO02gEwyem/RZChizPyDLcmT9z/etAbwcaOZAFwXAS9nALA1dHkyTA1s6QOcTmkqg1lKiU0mic4BnmtvkQaWnTQ5uT2f1F6Ps7akI3w/52L0ezx+pgvSQUhJkpbGiOMn5HvHp1fui1YQlNi/myRQgj41rOYtjj6v39Pju29v88RcrGB3Qlz6BFHnSR0lBlLkYrGVyUWZyO2rJ5VJFgbJuVTBWOHBnU8KM236mGCvhLqqkNF9cpi1txUiL0ZETIyyevf6GFFAAuXzMyh563vqXSFqdBHvqLN1hQBK7jSE0wO5tHrWqZmVZoZQ7Bkq6wNL9w240hPs3HegzQ+QbAruE6vKoNbClIv1RiTI6YzADfFl3fzOAywLgqlRDrdO6FI9ciniqcEu80nCgQnM79va0m1q10jL81VcbLLYCqKTuiSgFYy8iUchqREbO2ovYdrbweU2SuSmaqabiu17T47NfG7DUDQiVpp/I1J4UqXsjcokgZXboCx1ubdH1Y3I2L7rddeasqPR5OlvSpOOvs+NeBrmQomTnZudrXItnYBclRi/A/Q1XuVE0jQTp43ZiYmClI4mUK8wC0Pc/8jyz01O77n/ksZ+669GT9EOFp9IDlLILojRtak3Lxjii1wN3ibkpTvgoqMWYTBE5kytBPjcv7ygvzf4ud7i44e6Mgjvb2SBjblVi7jUMno2bKEZOaOUyl8eOCw6eqGAIEFLnzblF9WA5OBZjnS4F3EaSYPmJKqfsC0fFGBdsYjWX7wzZs3nA0v4qNvEdiydOpuiSizMOqFwKWKfJ8/DTpmxuC5/cyGJuZDm2UcZhwshsO8jsvBRkVMgSMSJXinxACmxRIryczdfH0QjY7ejzDOBuIbBMTxjqjee55vrZn9py0Sufflf/qePaVwIlzKYkEm88fHiFbXOVouTRskaD539jndVlPKgc//DjrDaS4CmDXI7p8FLnShnY+aMiHQVc9sHL93RLa1UGdwnk6X71XloamrG3Sl9rHaFUxOe/3uDQYhX8Qp54eTZx7IJl7biI9U5YMQ+kPEumtLtZVkYbai6aDXnLLT0ee6EGxnN1GFLiJemQz2RUKmVgK6RAZhvKfFVe4zHL9LlMVxWZ3UU6m8Tm45YTBdJQrBx5/GFLF7kdW9FGdTklZ+VFTYkym5dwWHZZhLAEniIQK2CDNw66bIpD77iuVyRVX7BpUnPJFo3nZSPXimGKa5aLcrJmHODlD5e+MR5QjjoMBZuPB2gZoMU6wM7ZXIlSE24J3Ol8wmLbDtYCWxcDgvIRb9qkII+dPFER1VrI1w8o/vKrdfoDH2oaLQWeGJUm45+//J3XBXgO8pJMsWMJnxTkUayZaGjedseAL36tx6MHfGzdo58E+IL8QlP53y+ny0Vx0lKQl8M9F3ymF5hybJ5Ip8dNibWzoN5kdqERpZ0hRCnQTZODawhsLQYK+Tae8VwfU9mvrmezDkLFhcVJmltrBJOaQd9DB57r4Jhqwo5NAd2BoDdIiON0RtyLmPNi7DJbGx2PntyRaLq0dK6VJ8XzXIqIAtRSlXZvUCKdA16AuwB5Vjbr9g3KRijrdBMmrUaB7uVs7e5KuQDT90OiMOGLD9d44WQNPA8hVQqqtF6mFFwKOXYyx1av/ARlrJnGNKODSot6aFOyC8NQc8WOmDfd1uWZ41WGsU8iPfpG4SeMfZbMC2eMwd2jHfssqAwsBqMEKnMopMAqZy5kejxfUSVui/bs3JiSRMnGvon1AV4+JqXq3nVxtB7wM3CD+1xRLOkOJOcWNNuWDDMbQ3q9CL1w4i/RWkGvy44tggPHRVYWUKqgWB+83xDcJfYeZ7M1zF1m7SywHAkwix0ICmlSsgpzxs4AXkxOzSVKytyOsW3O1Dp/LJ57aXCpVUTghzx3QnD312r0+j7UPaTIKgdLxV/rZTFL37N81LJaFNLC/9FB8mMJn1IBVhh5NBohb7p1yGfvH/DM0QC0z8BI/FSLKwMqyVyN9DMkQAo8kjLYC2Bb61a+XLpIx+bZqpIF+SZ10qQpEm1uNw87uoKZgtnHzYNxgK8hwPUkSu66rAd29zcSY5lfSfjoZx6mcvdzGJOgK96zVHxYTCwHTgecWWhQ8db5EOOPJTYua+41v5v/O2Lkil2XxTM5kgeV4wzu9HY24jcDtywNj3TtXOlzXZ4PPgbu9O5lU2jTAn+tYnfXEZ4XEduEOx+q8sBzVahokK6h2SuV8I6Uxpbv5Rfr3Mq9mbltl40XTh2VxMgRoA8HHq++usdbXtnj+RMV4tjDCkVfaLyE/DOJpGDx4iOsz+TlBJ5SqWUoHZu718LNgZdlN8uB3JSDzJTBC/YeO8eMAr7AUHrxvSjoxwLTEYnjAlnfs+zYmIBY5O4nO1w4VcP3DPqXPjyHpwWLqzGnzkVsbCTIelpzrMTIVVc0JqwvPfIrbswlKT6UeyHLAC+1dZV3FhgB9ohUKafpS/d0x4IC6KW7LjZBzQDtlUCdOSfOMXGPSkX4XsTTxyWfuLcB+CA9hFB5F5FKN1IdLxDLvk92qgRiDGCU6qDLzF3S4FZgEte656bQqjx9b63mXa/t86WHBzx+xE0SiIyil4i04CsFXZIBZ715gu6zWGsdi5eB7og9vQgtRqb7+WRBcaa9Zcrmwj3mK64pOTmydPGPJMCyRFQJCyOfsZwFHft5uaQDkMq5YxP1mFdtgesuE/RCd2706moFKQThMGIqMPg6swbJwbjmShwPEMY+3MjFMPKz0pTVMd1d6G93FyXPOwN4Xh9eBnnamlZsNmVTsGcD8Atwj7B26TFrrM2kilIxnhcTJTH3PVrl2cNV8DyQLrj0hS1Nji0HVqNW5yh5j0LLlp7kDRClGpGR6sJEYlTqqCSaYehx1Z4Br365Y/F+4lh8KHwGBnQiisAvyexCC8nYRUaa3ygxeb6ySLDKIq1AWVz20wqEFVgB0opCqqREVSTlSlapKV/4ZUdljMkpfp6t+JSOYR4wl/CIsAglwLoLOIwF7V6DahBQD3wsFp1N8xSSdB8Xme8rU06s5CCXxdVI/qEKV3OtBSTGrtzyxTLqmIzuETNWfyLI994pdi9OgT3S8FBsXaLUGLhLQ/Fz90QlKF0CeCpRfB1x6Jzgw19sMIw8qHmpPCFvTVPlXYLzC7eIP0b0yhp9Mgr0skwpbw4w0q6Va3FNPZD8wJt63PlAnQNn3MWXGEUvUa7KMEmTPwgHhCQdyzG2kmThZhng0hZaXKUaXRqLle4cWSkcwI0oYqWMyU0WS7GGFMt7FY1LlzJTl6XKevGblRnY0+8msn1H3WyZSsXiebErO/j4h39z40RN/98HDx+/3NeWwBeptVbeR1HkbJlLBpFV98n0S4pSdC3WZhhH5IZASpn+LBsHnD4qOWL5jd+zkQlljzt/zF0SSnKkNAy/tFdPUUyV7v6go7yZwdMhiQz548/V+LO7JyEIQFVQSlNTlqqy6TgK8gZnr9QaV2RSy4koSTEZlpEAtYglCtsxu2iFBKnK7WLuubCG7ZtCzixKnnjWJxZu8oARCiFcKe16cc+oTBF5rCnKr8vVeinYs4sguyjWH8U22s1VbGiwXryxtugsL4elNG45/3chm5AGmQM1aoHYFPNJAsHkbZuqs2/4sj549Mxkv999s69CAk+nZaVjGcNSAmY8OCyztiy9LvRS+fX4NnWjr/OlbqwOZWQg+4j+tiX9nVb0lbS3ynd6KG1EpeyYJMkqBTP2jvB0xMGzko9+pYabv+LYO+/cL7fNidLnLTMPo6yTv8gBNAYOUz7RxVxBF3hmPYgSkygSlWrxRPPu1/X4zH019p32QIZYIRkkHpq0XiQ71kkKzyRL/GRQLUmntOnAYgsNDqllaFMN7mRLpruldX/DmtQfN6RDzcqr86iLstZRG5e4Y+5bGiib9L83eW+CLV0YWemBoNuPEbXOm4fJ8Uk9v9Sj1RniKaj4RflpEeCtTb6MfJA1EXGJJUYYpNTCNb5kibX6bWSL6azxOAe3LUCeATmrdss0eAnceZd4OnpY63RYfuZ3qxglY1QqTxIV87mH6uw7VGhvKaTzvvMOGtY9gYLx1zk3jmjw4vloA/KIJ16aSKWNcLUpskjhh5HmiouHvPWVXY58NCBMFAhNIjR9IdBJat+RBbqZoyJG+DgPgW2hywuJYrEyky0gLE6TC1uk+AUY6YBvMplSqsspg728ohTxWHmVWe8CKABvSnJQWZE6OTaVcW47cEGCr0Jqfg+9YUpDpGjWJErLkbqCcl9hOTgUKVuVAcwYuEfBP/4Fi6zXOEhG904vWFuVXmfAzsCeMXd568CCyQvdrbIgMtviRBq0LIbmK5XgeRFHzyl+/9NNBtIjm6BVdM2nF1a+j83ohlhrEwXr30aX79TNsGNdK6aswcVIfUpiNHHiESQx//TtXf7ivhpHzmpQERhNJDz6QqCS7Ng6PZ7vzDEG8sybt4DOLrj0PWldet6mPbnWZp64GWFzm/4dIwXCFqvHWjMhBes3ZPG1Wrz8b0jhSnuFcGojkUXAG0WKxVWfoQnQ2TbKOh2fsD7DrmXfcT23ls3LVmHp+ToZrrLNlgN/jLWzRIoqM7gyIyyeM3kZ2KoE5pzJk9G7dCzu6ZB2aPjDzzY5Mx+A0qk1KFN5Ykd87/z5+Ikav8i/EdDLUiVvPCj3aGYpfJnf82YIqUhizda5IT/63R1+9cM+rcgFBNZKhkY52zDJ6n7Gg80C5DancPcTlb62dlSiWFmwu5S2YHBbOnepFrY5g6+32o1L2TFJ940YHUp1L07OZVtaCtzMdSldBalOjLtalRR4nkxP1lqno+xtj7slxciwcuQrRpYi8g81+mHHmTsvnh/p3rE5yHOAi7IkKTG5zrYzKQDt5Mgo4FU6ZDJ71CpCBxGfujPg/Z9sMjSekydC5fIkbyoes8RGdLfI4pQyrNeHeGlGUskqLIM+S9m7nQ1MaWRCNmIiNpqKjvnxd3Q5eMLng59zWhwUiZAMjAs4ZZJ9rhR9eXRZZvKUy/P2MFA5yN3nkdZd5HnmVaTBcJqkMqVjY0vFXhmOTEZylHCRYugbsvf4hWAYI5WC2bHkZKjrVcWg6ram9jw5ZtWI0gcY19fjf1Ss/VClqw3W1iWU6zfyZXREohSvlUy36M42nSqxtstkmpJUyUBcYnJZVAeOPsap7x2xvAJ/8ZUaK8MM3A7gniwma5XlyciqIwvpVgb8OL7LWjuXKpQrC8vyhHw8wgi4Uy2ujMIYTZxoJvyEt7++x2ceqrHUUSAjMIoIp8ezKsMccCMfTZRkivuUqqTLVSkplNWnKEZZ3AHasXfG6GtXavemU0k21+YI4Yp4Sytffu19A9AzhrPsd5NE0OkLdAC6vJuB0qr40jloiyzYeLp09HfXWV7W6Kd1AjI5qmNHtq8r13jkM0dKwC7r7tI+mTq11Zz0KALMgrkz1i7Y26vF3PnVCo8+W8WUtLdrasjkyWi9SV7YX2Jvxu6idIzW3lJgjSV8yiW0pgT8Yi6IRNnCF48TD21iXnF1yHe+rMefft4HFYKQWCEYGo0SAgVFoJkytxj5gEUtah5kpqXT1rrjXw5ApXCaXEo346Vg7pJMkcWxMRmJjbG1ECnY1wHyKKEWeq+QxmOPQBhZ+kNLMAQ9jAxx2kHte2LN4R//F0eufLH+4zjIywU2jrFtwXSZJi/19ZWDy0J7l7bpzmdjF4xduCnFjmuZW5Ilc5RKUi2eglw69yTwIo6clHz4zgbnO77b71q6Qe9KUOzYUJZUY6vRuK5cj73HbyOJnhKzj2/cle8QPdJ17/bPcY9u+5ON9YQf/M4uDz0bcOSCBBEBCoNkIGRpEykHqhFQly648ifMAk0l3U9kuhmVtc5dyQAvZOaspE5KuvJaW1o1ZCZTiuxqIelsCUdjGfJcVdiRT7r+8RWYxOUnAh90tSIYBoJq4ET5SM33t3AbuYLGtegaBh8b7pMHnKUlvzRroyxTyqDOXmeMXViD6YixdCqqkllAaUrAjlEyQae2oO9HDBPD+z7W5IEnq+4gSO20t5Sua0cU81dkyT1ZE2CWvjulizo7D+VzsTaDWbgWxR7voyn7oozWeb7ZljFJYoilRsWaV98Y8mPvavOL7/MZxtJloIwkTl0Vaca6fDJwlT5pORZQ+YfLymcdaKVMU/jSphWGaZNE2puZAT1reigHnwUWyvN3yqxu84M3DuwXZYz8VwxRFNMfGvpDg25UIK5aahXSpSj9/bHH9TBfXnrXDQjyD8+LuCflwT6jsz1Gve90S74R3V3qhUy1djYBdSS4lCVZks64zoNLGeP5Mfc+7vGZB2oMQw+qOtfeOXtnF9QYi69h7hKKC5WyftPxSNF+CuxCGhTFV1aO6/AidS+NkyoZ0ONYU63FvP3Vfe55oM+XHlfONhSuayESmj6l4M6KdLRDSYqmGjv/dHkbZ6kuRabZTAEq/X7Z55bC1arYkuyUAqwoKhtlGqzkMwxLF1kZP2UCXQ+FhfNTEAQWBsOEXj+h2k/QNv1HtHIAWhMAvcjMk5FrqZBGrBkVkIGbQp7kzzO5UgJ2xuJ5YFmWKcquG2QWQDYl5i4BvTTMPdfe0k2JXe1a7nyoxoFzFSdNhCuJFZn2Fum02zJrrxNTFMGlKAH9G+iT7CRZnGgt1YSPSBVK48oyBrdmFOhSIU2CNJpoqLl0U8R33t7l0X0+rVCmUb7T4yGKbB+IMrjLgWYWiZVT8gry5he7hs0dgC0ZgxfZRintCLgz+5Aym5eAPB7bjWPNlg5cXj+Tr4Lup0mSYVigO31Jb+g0UqDTKbGmVA+QfkNreVHVUj6NI0mP8mtK2T8yeTKaLBlZ/jNgyyJzmL3O3JJiMHsJ5HIsoJTJyGMGbk/HGBL+5PNV3v/pBlZo53uPsHchT0atwbVAH2UcMXLxr0X1aHHTWi+8LFPWtrKZLG1vDCaRGOl8cSUNUeIhleHH39bj8FmP939GE8VpjYGRGARDIVEmGySRgvvFNLnMqhDJpjc4rU0J5KX3ZApgKWzqphQjJsh/XjQil0mxCH7d51pv5SvIdyz7m5YRZL9TDRT1qkJvmhlQ00P6KwmgijqI7D8y2Ry40ZOyBuTrAHrcXSkaYccYW6wjT0ped3lEb8bc+f70GbjVuDwZ3bNepXvPOA0e4fkRh89LPnNfnW7Xg6pay955zfdoAJxJlbIkG3+eBUbfjMPzrvCy/00Z6KVhk2m9Rw50mQFdYqTT4lJqoiihUY952x09vvhglcPn0vSrq54mEYK+W2vcZzQpuG0J5Ll+ciB3uZLiLRdkivw7FO85kNr8nI8C3Y4E4+Wab/JgtGxajLPqCKjJpvOSzj13zweDhPPLIUZH6NmpEE3MfJC4yf/ppNGsBsKkQUS+O0mqFccpvNDdoxJFlt4r+hUzsIwBO5cspTl4+Sy8Qm87VjcFi5clSnl772yPGZk6JimTax0zjAz3PFLnK09V3XBw6TmAr8ve1lVDltvAKNU8jzP5WID5zW7lpXY88HQ6vBgf7Oo/bKq7zYgeT4REJhIpFNFQ8/rrQ17/ij6nvuAxNKlUSbd3TNAMBS7oJCMkkY4uc4xuyRhapF54kaZ3sYFNnZVUd6c/FymQpRwHevq3ZHkgUDmjWW7MEKMHKA0QRhnbXVRJOpErScHeDy1949GzPvrs6pWr3dbhLyrvxN/3RZxuZ+f2b5FJOojGOo01ukXJizB4+n8ZsJFlp2GMsTOwl3S2KIG5kCtlJjcj7smawDIFdl5nIotUvJSuU0f6Mfc/7vNrH5ogsbpwTqRGCJlvmZIx9SiDl0AuWZe9v4UkZnHiKAE6Z6dyA0TqjVPeU9M1heQyxcic0ROjkEYTx25/oZ/7oTYHTmvuf0xifAGZGy4EocnUdtFxJNJ4AOV2gxj9IjYHssqZ3AWUbgFIAZ164ZZCitjS+RdJuRykFFyWhHfG5PnNlMnA5pN53XbolthYkgSixFKp+Fy7Z+qLL7tpz6r66X9c6U4EJ480qtGPxXECWQhSFvj5leeej/vB4yn2fE7IN6gEzBM3ioKV893Dyh736HOdy5I0qTMObplQ3kBJ51nLotfy9LLg1z48wUNP1d2mPNJPS2JdUVVVkm8o5Um7tnZ75C6K7yHHRsjlr2VeG583TJd0ffFalI7jWFa3XMpQ3lFBls/F6CBMYS2zMzGBtjy612e1L8eWGplPEc8cn+x8wxiLlq9W+43eEsXrsmEBeTFX+b/PLoqRsWwjJkfxsyIeyVY3x9pJ4qoIwwR6Q0s7Cnj8hQs/+Nl79h7QWg1c4KYFgafIIgqb7goAIIwb/CIo7KA1BLWupirp7tLS9OIBph0NMEtbZORbaIgsg7nWOSlelwPLtBQ2fZ74CR/+7AR/+dU6tqJAKIdOoRFSjvVbskZ/r+mYzyVL6YuvWd7WeuB27HV2QgtWH+22t3YsLpKl5I8sBgaZTKoYRSI0sp/w9tf0eeGox3s/oAmDeMSot9ZjmLaiZWJaJLakvUeFsBVpdtOUgjyRShbh2NyacrCZyZbiXFvKx84ikrEYLgdWcYmV3ZPiOLhO+tik29lHljCGWCVkMYU+cW4GkCg5pKK7+F5SjPIVzrzPgo7sy4xr8DVp+7LuHpEmBbDHR+4Ws63XuiZuBTB5YClLmyOpkfeSgsVlkdSRec1JwpceC/jQF+oMknQKvsiswTRrmdWclN2cHNyj3u56pQgjcmUE7OtrFZueiAxIazKa2DUltFaWPHFZclaEcoVZMi3OkobEaALP8ENv6fLwMz5fesrZhc6Idnl4g3Ygp8g45sUkqSbPalRyJ0UKlLEFuNNtMTNHxWQavFSTUgAdhB0d6TaSBRepqVOqmRkhhDVM7qTJMHbvbWpKGnVFklh0xTcYC4EXM1ntE8YecSIhVCPnRhRP1/qT67kmlDRXGdhrkjslgJdYW4jRhI4cAfgog8tUb8s1SZ2kCDB1RG8Iv/RHExw9E2B1sVsyUhXaezypwxhzsxbEpdiyODj5AXtxQT4yuTdj9pIeL4qvynp8naIsmVYcSlNicYVIDEJoZGi4aGvEv/nhFg//TEBnkH4ZI/PPlUjN0JCDHIlbzNM68JS+yTZGsOl3y73xjLEpmNtdEM6OzOLEbN7lOPkJm+YPLCNEuS4plGRM9lmiGFb7kn5oqVZdV1qcgN6+zQ057/aGzC8tEseTDMMqUeyK7LNJsmt8ydJ5XFt4ZUeWpDKjl50SUWLuDOSjQWYZ2EWAKdeA27i+xfKOvKV6E60j4gR+91MNntpfcZ63zJhbk9WceGX2FoU9OF4stl4dSnb2ykM31+PrNUxedk7y59nca5szebEv0qh1aDKHRaQsLlNvXKT3JJUqxnDD5RE/+T0t/svHJgmTlMUhjwpjoxiUT246K9uadHXJsqrYPKOppCuTVcJdFOk8z1xXC1lYg9lxsynQ19jHpcOTA349nrDFe0oKPGUJfGjqASrqIRrbieszJEmMPm9/gJl6na88tZff+MO/4updVb7juoC5SbGGddf7Y+t73i8C7JKLImUREI1sSZdLAzPG3OnejLmDMsbcqVuiRu5pYFlJ+PIjAR/8VINW3wO/8LwRJfYW5PvelIPnsg4vZu6tM4NwJCwT+esRSK/D2mvwPgL0YrSblWPAzixDa0eTQCJt4ZIKaY2rV4kVzYrhR97R44nnA+75uoKa2wsVkwFaEBvJkDH1m51YU6JXadOt9ciXOWuyXdZKjJ5eCDIrpirHLSnIbQno2Z+z6wB+PJbJ/hutJNs2wh03W3Ztiti4+2aaszcRR210zfPxdcBM1ePajYqd0x6DUNEbQsVP8hOagzkDNKPvI8i3rChXho3agsVuAPnA9LS+WowFlWXdLdewd5JmNM2ILJFlz1s6W1DqmP3HNb//iSaHFz1XkyBK2rvM3iW3Yt26E8oXcWkFK4O9tJKte8tiGDsG8jHdnb9HpsNLzJ4HnWIk4My9cena20QmVYR1UiWy7JmO+afv7HD8vObQGYHVZYElQHrERq5hcpv2l9kM2Dh5IlPWzrt9RNHDSVaBWGJ1IW06JKhUeVkG+rgiyH5W7kIqnQslIfAFvudx+nyFaFBlYkuTGVXFxAk60BJPCRpVydYNHnNTHhUvBWHx7+V1I+PScjTNWn49pr9LwB51UMpBpilp8bGddUvgXi+ZU1iELqiUMsYPYs63BL/0gSafubeG9UrSRGTsLdawd1H3bV9UkowEROUYpcToI4FLCfAjrD0G9uy9ogE5BU5JrhS1KTZ3Uqx0e9E7kLtj6tg8DT6FIU4MnjS87TV9WkPJz/6m4sKqgKBEuVZg0cRWMrDk7O40dwqzFPBKpPo8VTtOnogidW8K4Mo0GBVJkcofcaJs6Vja0jEtM32aRBLpgS7nDoahYX5ZMhhoLuupfE6K9H1FEATnJ+r67qsum2N2MqFZtwRe0QomZApuUfJkpR11Gcop9bLXrYq6kbVJm/Rnam3ipvzfjDgj43ZgytpSJsjUNclqTUIMn/talS8/VitqTWRmDZbZu9g1uDxvcLyYat1CqxIzizEgl4lg3UKeskc85vmm+wWXJMvoiOWswjDLcCYmK8TK0vdOwuSpfCsxVhHHCmkkb3jZgLfe1sMXCcQxmNLdJtjUfhsYGBpBZCBKd1GIk/TRpvtrWkGcbUFoybPhScntSEolIMYWWxa6drxSttys9bvHXROXVbf57nBhbOn2Ey4sDeiGTboDebfnV84bq1C//du/zfd/z62r9ZpYbVTC77fReWpVJ9zz7GJulY3XjIjRTGTp98Y3Rip3oRfuCCNgL2RIelflrOW4JTjK2kWA6eacJNLw2Qeq/Kf3T3DsXFA0MWR3pXFTYqEiLb5Mh+RniZ086VSav5InsbJRzsW2Ku59Sb6tihgd0u8GI2VTC4q7kKOvy9MGyvbk6HujjSFuSkHWRJJeGuV+0fH6amuZbiZccXHEqXnFoZMaY0tXb77syJyRC1U+vjyVr/BRFZavCoyG1+M5gHLyZ00pSCnps4Yf0osmTizDyLLaHrJ56w6CSvP/fHrvwUde+5pXuT16ppurCBlQ2bDMpG7R6jXo9F0VWp7syZflsr4ub1GRlcGu53+XpElZg5ebGkRJipTcEymcQ+IkSwFuKTPNbXJg5+ztJRxblHzw03UOHAmgnjF2kdgRwo0bzndpkGXdPTbcsRxcZve8FUvkS+YaqbKGyYvTvG5wicANox9n9rGG5Eye4JI+boSCy1sIm0kVS5Ie5wSVSsGsK18TDS2XXxTzQ2/r8NizPscXZKlQPP3SFqzVRBnojNPgeZxg0gNknO7GpFnJNHOdf7f0M5JdhLaQLdnxzPS3LGw7rF3bIZVbjOmhtAYiA90BnF6UNDYmTG4Y0huUNqHavO0yqtUajzzZ5bGDz3D5VoWvG+kQlewE2VFdtAbYY++tA/CRehNRgFmUgkqxJsBMQSxGwZ2xt9PbCUo43a11wnJH8Nt/1uS+p6pQyYLKNGOZShMpyOu9dd7tX6xYSowBmtHXWX1N+eJfc3uxQLNMTmVPdyS5kwZuZZCTuSk2lyeuRsgirESONEu4bbaNMIjMQhQSIZS7jIQh6Rlec8OQf/6eNv/5jyQr2QbBMgO0+xJWKiJTnPy8MCsNOLOkT+aepAXheSlthnX3ee2ItMvDWzsOdPem+9k6rYDZ8QLCCIyMufWmNrfftpEdO68nDLsFwKv1reDtvufjX7zv106e2PKzNrRsndPuwIn1WfkbMXbO7rnfnS2lhdddOCfrMLcYtwkLppalgFKuk9AZCMv7Pt3gA59q0EnSQqo8qNR5YKlFtv22c39yps7Ay9rsZc7U2UVeZuo8sJajSbFvciun6cdT9qOavAT0FChZjbgcTwalvrhIgS5lxugy/f6WJBXGDS/ix97R4cKS4nf+rEl/xFEpgG6lckxeclBsGgG6EMFdeIr099MAtBS7phaiGKkXX+NSlYFuGcFaGehlyVYLBLtmNX/vtmkuvnjh19QVl94Tz58D0uaN//Cffgs/qEU1bS6Zqqnvklh8LXMduqYhuNThUg5ARxyTkWCyrMvLfZWFx61GglCzlsFH3JN1spUqRniGZw/7/PKHJjg5HxSp+Hy+oAsyVVpMFUhbBJil1rTMLiz6MLNCMcin7mbviXWG9Ofvl7R3/jOxVm9LMXLCygPkx7cCyZJiRXa4YMTypNvR+TO2BAyb6/TMd674CRumEh56zuPCgnJ13mW6LBn+BpFivJBmxQVedlxKl/i4NqdIwpdHda9HCGV9Lsb+X6Tnp1aRTFQVQk6x2vb/7PSzD37trW9+S8HgAO/8nu/E9ys8/dTDHDv4JNn4xbKNV5Ycozp8Pb09Kk1GTo4clSgFa5cYW6wFd+Fzp8AWBXNrz7D3iMdP/toUzx4KsF6pkEpm7C0RKXNnvncW/I5vA7hmhgujr0XphBYneO2Lb4XFR6vrWEeDl9ncgUyWGNtYUrZOLyjhmF1YgUhT+cJYBK4QS5RZXFgYGq65OOL3fnaVH/tl4eah+5SmXabfQoJFEWdMntWspEkeBPnMFNJ+UhBFgkgWcsXp8FSbm1KR3hiTjwemI1O50v1cEdDtR0zN7eGVt7+SwWAA/MwowJsTUwRBlWq1gu8ZAk+gdVGmOgLsUn/d+PORkk1GyzfLgB55LcpSJJUn+Xvj4E5ZXBQJHe0ldKzgv32mztMvBCS5HVguplIgZC5NRlvRRjvlCxvQrgH0uh74WHD5DcpPRnE9Vk8x+jMBpcAy1+TlhFDqg2dgd6B2QaYwLo8qhUxn+LnMoLDZ6xToxrG5Siw3XDHkf3tbl5/7Lx6dOEVHtt39i4E8/bJZUZ7NgJ89F6lcEYxIliyANymbyzS5lcnDcW2eXgc5d9is1zOtIsQY/KDC7OwMvV4/P445wANfEwT+4dmpypHOhsoeJXquB3e8niQjqHGQlwE+kuIvrQCp5s4KqcRIYJnOvc4BbNeCW5k0mCzu2kvoJfDBz9T5xJfrDGXZ61aFc5KyRZm93YyP9Zl7XedkPLgc/b+xYPNbU+JrLbNS5V7xZu6D58zN6I4Q+ftGYIQkH91gBcJIRBpsus4fizCqlJCziMTgC8s7X99j3wnNBz/doBvhDljJLVkDclJfOkNe5qqkUi7/HmQrgh35vgWg06SRZbSRpAT0POmTkoMrSYAoNkxNVBEyOOL53mE5DPO/kZs5s3NbOHP0obsnJ2of2bZlgonagGolxvfcVh+jafN1MpEjzkgK5kxvq1GGLhdMibHaEgfucVlSsLYDdpy3nnVC+MBn6/zyHzWZX/JKoB4tphoJLMtxRCmeGE3uFJs35SehdMTX6twCz8V734JAGSu0ypg9kycZwxWB5uj+8uVxyyNp/NKoCZu2umUJH1uab1hsV6iJE8WmGcMv/HCbf/K2Lo0gSVvUYzAJ2PSeJYOsJbIwtBAaiNKEUJwmeeL0uckSQFliKE/ykHfmJHbtwNHRpusiUZRYVykYxtALBUttQ6U+R6Va/8hffeHBu7dv27qWwQGk8vC8+ufDpPfdM9Pd66MooD8I8jqI8s0RV5m51zL5qN42o69fTHOX/O5R92QU3ErGyMDyl1+p8SsfaHJ+xXNDbuQ4cztp4mq9XTo+y1pmbLyGuVnL3OVtuTPGAdZ971sT3uuz+YiDgmPu8caH4rUYeZ1r8NJFIEZY3Ob2obDp3Sh3Hq11swyHls1TCb/wIy2W2pKP3NmASlLoiYwWM1ZPmTy/AFOWtunQTzf/xGl0mx+oUSbHZA5LqnpSyZKVpOelDKUoNQN/d2iJEVTq0dO1Wv3zlt7IMVXlF7/9ux8mrk2e3Hs4eblieON0XebrhVjnXu5TLAeR+XsvBu5y1lKMuSVqfXCPVwmqiuHwWc2vfnCCp/ZVIMg8bm/0UTr29qUDeLa/fBZgZvtrjswgz9yjsnuStpOtaS/LHJTcNckynelmWqWflV2UIjtc/J2yg5KPBx557cA1PgUsc/RG3azShZo/2jXvk61MZDGGQ87EhKFasTy812N5RYwhJWe4/NFm7kr274z+w+XLfywjuvYm0gu7/AvrlTNkiunGKyxvuyO5Mx48/7vf8z0/OfJv6fF//PLd1wKCbv8QK+0lmo3E6TkKRnGf3eaP67on6zokBaCdT25KSR2TM7hUSfp+AW4p4/R3YpRvOHJW8+9+b5J7n6hARa7V3RmKUmniC4oBnWscEzvC3CM+OOULukTXJdYWa95bZxVIX5dT06OF+0VBVXZG85OaMfnI+zZlaBB5sJkGnmlTsiUNOFM3RYjMTUmfp/rbGosh1eTGSbNkEPO6mwb8x59s8W9/b4Kj53yn73IvnILVBSAUiRSE+ccXeJkHmCd9RHqdpF9yTJOXIV0M13Keew51W0g2gWWqatk6PU29cTlJYhi/rQH497/jdUipw/1PrzBsX8BTbl9zk+0hM1Iq+9cD94hrMuKgJO53ROF3y9wONCgZoT3D8XnNv//9CT5xT41QpMkcRqsEM2mSBZZajA7QHKkUpFxMZdeuVmPsUv7ZOLBf9Fb+4ZhlkkuT7LUtLgIycI+k6tdaq7IhlQAALORJREFUh2WJItLAMwOzFcVePyZ3U1z2U6QOC9bmVmLaM0+gLe/6jj6JgX/7u5OcWBAFYrJMpyx9UKNIhCCUJbkibJowsmMHYy3Is/OQ/9MlkI8fqyRNOHWHliGb2H35G8I4jr85wGdnp0E2f2bnro1Xts4//RqTDOkPK4SRSusARP6nikKekpvyYt72uO89BvAsSymEqxKUIsmDzdzr1oYTC5qf+50JPvWlGqFMt14bcUyKOu/c85Y2H14/3oo2suX12D2/kNcAfnS5LYLP0Uzm//CtFGhiC0ZfH9gi1et27D1RNEiI0dFvwoIwMi1llZjUoHOrsR29kIXrVPeI+b439tEKfv53Jjmx4Dv85z54psWzmytVLd4TmeUxqrvXAbkcPwTlXytgh7WuyXh1YKlP1Nm0Y9dXd+/c+jPzi+01h1SOvyHUBJ/5/Cfaj+zXB/7oCzZZag9cdJvI4qCyVotnmnCkxmTEJvzG4HY2VqrBRUl/p3631AlnlyW/8LsZuHUB7jHWzqRJEViy/oyTkp4dKYHNWF0wKjmy41ym65G4snRV/I+gvJzY4UWelwqt8roUm27bV+7VXLPHZjEwaGQX5fJ7RualtUWJrcIaSZwodALv/I4+/+knW2yejkrOSjzmsMSAGwyYGIgshBZCI4jsaAnt+KMpz0Ivff/xCQ6idN6mJof81LsWkje9MjrwzLOfaG+cm/jmAAfXwHlhof+TFxYv3vulR7axtFohStzBsKx/Kwar24LJy+n6dcGdOSNF84Jj7lR3qzit805INPzhZxt84q6MueUYsMvyRJSmU2U7M6zD3qV2uhF5wjibr9eeVnJWSixfPhn/Q/gekyhFr6Yo/U72vMTaZpS9DeTnaXT8GxS9nHIM+NnmVtnPVHG3bgtxHcO73tTjR767i04y+zBZC/LUQhwHeVQCeWyz2nExAvLyhTtShJYd05QsPWWZaVjeelOF67bv3CtN9yc9vT4y1wX4u/7+u9g6XU/e8abL7O4tAXEiSwe98FtzYKeAHmHsHDCmCCjHwJ153gVzl4LKDOgqAQ13P1Tlo3fXGOYVgeUsZalacDyhIwpLcL0ZJ2vkyRpwfwP5sh6cx5D9jYC+ZjlmLYMXJ3y0+YGcycXY75bBXbS15Z54NuPQZvv8yBKDq1LDhCKxBciNkfiJ5Xvf2OM7busjkmQM1GNM/iIgj0tMnmSfj7ExEHbkeh+Nb9LjryWcPO9zrnutPXp8Krnqyneve4w1L3J7zatvJYn7Hz3y3N7Luq123dpi2S1CAlOAIr/CskeTs/j6ssQBu2Dusi0YO3Brg9SWv3qwys/8ziQvHA1SO7DE3HJUmpQTOlowor1FSZqMZmjLK9AoyDN7q1AkmYtUHOx1ZQzfAovb9d8rnJQiOBvR4GPgt1kdth19nenubCiQkGYku+kCzmJoUJY0F1g3UcKMbAeLwnLNnpD/5/9Y5V9JuPPBmtPjuSYvPea3QpMLKGlxt9Vg9p78/7X33VF2XHWa370VXu7XuVtqSS3JyrIkS7YkaywZYznhAAJM2mWBwzBmSEMYmMUwsxh2DmDDErysCXtIYmd3AZsxBuMBY8BRzkFWsGRJtiQrtrrV8aWqunf/uPdW3VuvXquVLNuz95zXr9KrV13vu7/6fplGRTqJbrULf4uIxwUMGC4DedY8Nmve0p/ns5mGt5g22tHU0sMH+5+9ual1bj/nss+krDLKGQkfn8oSRDTOHVEUDdRGzEmggVtx7igyUEhuBupw3PFABp/9ThFbX0wJzkGsxi9I6U2TrCZmQoOeglYXsmlM2nqrSRKADTBPhJ8kgDsKsiImkDXdR183nT0xBZRpUpxpUpzH3kOvJgk9nAGztO2W5OOi4RWrWZjf6+PGjw7j6tUl4VIMJibJa1xIc09J8FhaG4v9H5HOEwmjgIsMO845Viyd2//go1tunjl9ciPm3FiCA0CqcA6s2iCaCo8g6w6gfziHSs1BVDBRyXIzsyfMiicJ3FtxbpIkuQNQ4sOyGYjNccf9GXzufxSxeZcEtx5nUvcSDhTVjThsO6K55Os8lhqgG9U6iZv/DOlumFJMZJOJKpoxe3iiUNe8dwK0KutHZeDHs+2l7VuZC6HbzQW4IS0qoEyWbaMi3kN+lslsBXEOK7LdEQ7UgLNnePjyR4bBAdz5QFZcoCHJeaIkr6lSLFKSEy6raXHVPFbpHSEHhl6/seYTHBgGpnflccF5s9HR1oTxxrgAn9TdU920tf9v/7Cp45eHDozmls5IozlP4ToBiBMIo70GhEhSs9DkZ9q1tfVEye2DWgywgd89lMH132nClhdcCe64MmkqlYRqGToauOulNI9c9KiX3jDAT0wqEhPToYKpod/E9LERzsfbp4BPgEjh5BHvlmJe8VbKYxJeBj2p5lCcibbaUOCXdnPGCcCUeVM3Fyq7uLxSSUEIANSARTM83PjRYTAO3PVQJjJkj0dXuHAGCauqtNVTSNu8+B+U2ZwjEj6OJdJqu1oJrlg9hmWL28dam/2/bW2dUh3v/tLxdm7deYAVW6c/tmLZ1cMD/a04NJDGWMWCH0QVryg0k6Be5kFPcFBgJoFpLYlJbgXuf3s4jc98u4gtL6RFkR4V+ioDp0x7twB3xLu5kRkfUhLaQKlU9Eq7mXUhsRqkSR3YFUePdwbTMB7Duc4vjW2c1En0+PF12T66BSVuQtQUTQ5tv25VYdT4PEswHSqqwlWHZWYLJbRGsWC6h6/93TCuWFWBFSRYU0KrilrnCELzocjU9zkJg610yqKD3LaAbIqio2hjekcL1px/zfC8eTMea8oerHdfThTgM6ZOxtRJbUfaCvTadZcv9dJOEHEjAi2bRwI59FRqlCSkIYHBucOAKQ3c3Ab+9HgKn/pmE7bujkluGjcJCls3IcL9m0RN6t3wmkRHPbgTowK1fXHwGhPhFI06K4oOaGjg172YiINes64YUYXQLCnU5OFxTs5JaGHRy1Fw1Z8zkBaWGsGCXg/f/OQQLlpegcViINdKUegg97nGyXU+HoKc1HNyAgyP1mBlF3v7D1vXAu1HnNTUce/nuADPZBwMHNmLWbOm7Zs/f/au5mIOji2y1qOuZlEjKBoLeRXJwI1DXin1YREflpTcf3w0hY99vRnbd6ejyECimwWpRk2ESNbt3RaJ8+6YYhmzkNSt64CWaE4Cr0Gvk3j4cZgKQ1DzRjuisg2GEqreY5YVswKWFkYLGBJcl+QRuNW2uNNHmg2ZVb/ObLAawZypHr7z6SGsXVGBFWgKpw70mDPI50CVRTZyn6O+vkog6rB4AVCuBkhn8pg2ffaujq4p+3bs3A1iWePe23EBDgCUUmzf8vDuwPf+Zu7c6WjJjyGdCuDYUZx4+CJR3LgZFaj6VkZu99Ba4gbgDnDPY2l84hvN2L4nBe7QccBth+BOsnfrvNtqZPMG6mkK6pdpg+06iE3wJlT+GgfevG5BripbNxKoCUwLllnHkBjgNm3iusdT82YyGjWY5Rpd0awrpkVFs5kHEch5jWLOFA/f+tQQXr+iDKqKdieBXIsn97mKJyeGnVzFknvyNJUaQd9QgOkz58Dz/L/5y30P76b0mPAdX8kEgJa2KQi8UVA7d2D4UPX+vfyxNaNjNTg24NiBVl0qktKWKuUwTiaORQPYKR97+i1seCaDG35QwPbdOrj1tLN6ya2D2yGmK94olkmEDKwvpqOsPybfVqjVgapTlTh1USBPEuDHw1xCni2Vyjp6QqL9ajl6RdkwSfxcWFUiKS6sIzz0fEap70LxA6OglEUpcGBaqWUpMVVAVaAJQ59j7jQPN39qCF/4PsMjz6Sxpx8ivxOQUYhSk1TpbLIkhVA0CQhTzyxhVVEatu8zuLkm9M6ae/+lay84MDRSRnNT9pj39dhTAIDl5HF430M7fLTcbOXOBWM+Uq4Hx/FjvXGYUcohauHna8kKgpbYKR/b99n40i1F/N3XithWB24N0LrFRII7VCpl8oJy6MQjApNs3GZyRoLdW1MmI6QSA8TGTIjzFW6ujgd2rh/L64R5nZQ31jWaEYXREtTbxrVSb7riaWzTJbkutamheEbUREhyzi0EgS1ezAarUsyd6uG/f2YQ//SRIczuqQFVJcnjJeLEO+ccNQaUGVDlJKQsNUZQ8QlKHkXND3DFmgWY3FG4+c4/PrJjIuAGJiDBwx/InQM4zY/lmqu3p62d6yx/M/wgI+tuRBVebVUAMzT/qQRhxbsD2OkAO/Y7+NL3m3Db3VlUmCU8lHWeSd0kGJfcDep5q+qw8YSCBmAX5s1kqqJwl6hIGtiOa5+oP/hYg6NufkS79BxMbkp0+YEQ1NILGHkxEQbzEZiZQEzNME7C6EAiU8YgJSrjIo+TU8Qkufy/ZKZ8wBFWoIXno6uF4d1vKCHlcHzxliJ27neBlPyYnuMpHy2i7oo4t+gwIS7L5xxj1RouPncGLjhv3u2vWz7rsb7+4YnCduIA7+zsQHXsxd2tM1d8/Cf/8pDFyq3XrJxTQTatEoVV//eolLFe2kHFlVgOw879Dm74XhNuuyeLCrHM6lOJAVTjgBuRUqn3ko+AG0tm0KU3kPBODHDrdv64tI/z8OMNIjTCQI3JYMZ+x4/jGocR+NRoSEhp4qlugmMTcDDOJK6ixGVxOgrGRFQoZwxMPeApA2ei7iIMkEsFmEQBxOreeZUAKYfh2rVlgAM3fK+IXftdwFEUhUWGb4h1DhseF0X4LQhhlXUDXLmK4/LV9m8WLzn/41tf3LdnwewpE77FE6IoaqRy0/GXB5/cM2Pm2k3FwtkYGk0hYBRhw1VbJALbVLws/WWJNLMXVbLC3TlUoPfJicdzTwDcGtc2E4mVKTAh1humWVDfnwhmYgI9yUpibDI5zIRxrt55fIO2TTcThuCPWVfCIKww+16PEY8U2MhOHusYkRBWG9rKQwXTVDwDLfowCK0tFnzPQpoBb7+kjBs+NITezqqgK6Ep0QOYB7CafPfAWRDax23KUbACzOyaidXnvW7TWP+G4wI3cBwSXI2l83tQKE66cXt6+8za8L53gO+HY/lwbQ+27cGiPohMVlDxJoQyeBx4ZGMK370tj1/+MYsasWQx+rh3Uo83aQxuPcZbl9Tjhb4mUZEIlEJ662UhDARrS3HJX3f08eFbgFMDtcrv5hoxD+OuiHY8iezDkeSGdLkrD6Y2MUikZIKTqBIEE9KSQSwTme7GOQML6QRtLMm1hGSVZCFmfQDfB1w7wNsvLgEBxy235fHUthSqTH5QZGFAFA73ARKAwUUZNrKUo6O9FcWWGT/vnnzejTteOHDc9/W4JDgANLdNxks77xzKNc98f75gPZBOB8hmSshmxpBOlZByK0i5NVi2B8sSiQplAD/5XQ7rPt2Kn98t47ntWMhrCGhVao2CSDu3Q0xHjsG7Y7QkDuhEq0kCDzckNZL31SmYp3JILIeA14BvejJjgVfhMbpNnMSkfVSz0Ig4jJkPwwQbRkxvJquX5GGzq/BlIQiPF97OQL77vgWHAe+4pIw7vj6A9141hhzxgcAXUjyoAV4NpFYBrY2BVkcQ1CqocAvczj6weN6096//xV1D8+ZOPvZ9jI3jluAA0Dv3apQHN5R4y1tqG5/8Hh7efBTUscEZQVtTgEVzamjOi6pYox7BT+/I4R9/UMDgiCMTFWKUhMb5NwkrvLoEcBB35JjgjrcbUcU066hGwiRoBOQkzyZiPDPZFg7zmImMRk4enXsrEa4pooqKhCKcKDAreqJArgpkIsa5VWa69thgQs5E8SRCYjPGwnVRIZaAUwbKlLSOcuqpzAEV4jOyI1o0QHshwFc+NAyLcqz/dQ5jVYGTYp5j0VwPrfkAnFnwiYUqmY0Pvuuq2oBHS+9/95UnAtUTAzgApItzwBh79KkDl676529vyBwcrSColtDVXMFVa0p43zVj6OhguPPeNL7ywwIGR2xZp9jRTH5x7k1DcCszoG7njjJy6sGtyh0btb2pDtoG0juU3Bp4Y+CM0xId1IaCmfC5Ywl6wxJCtI2kHvcGR49MxJFVRXFvom/TlU6lWEZeTyqbW4VWFQBUsY86kAurByFcRCFK2gJGo4nHiejRIz+v/w8iWMxHaz7Af/3gCNIOx133ptHewfDea8Zw9eoqupoIyqUsSrUCDngLy9m2mY+KGXdi44QBTkgb9h+pfv6yi67hB/b2ffKO+59KP7MzjUPDFn50q4WmHEPAgB//NoPRsiXBbceArWfiiGQFnW/HpbbpmUyQ3HpIbKwqayPprZCo82ldl4yXhah3Buk7SJxpjIvvJCMKj23UuXXoyIkBN7S6aNvFh5OkeCTBEbOkqGtiiHwxOsgJYaKuYAh60ZeTE9XDnoCSKJQX0twXzlZLzio/QFs+wA3XjaK3h4EFHB94awnemAOv5uDhrRmU+ZrKJZe/8VuplPWPhORPGOAnPjUATG5PMXfkLzdctbr1ptVLumspOw075eL8c6t440VlnLughoIlv8YImtLLGmul1VRxHiI6DptAN1trJ1WDDYEdqyloeDWTXjDfQWAkhceBGg+RjY9kUJtb4/mGPLZcx1p4/LPR+VQBHBPYOhWJO3lkSTjdiqLzc22fnrisOLhKoAgCajqEVLKEzOM0Ig/lO2O2zB4CRn3giU0Ofv3nDB58Io1KOYvRUh5j/ozai/1Tb/ruz569gZD8uNGCxxrWyXwYACYtWReMsJZHjg7atdbU2EVXn3+UfOLaQaxZVkbKZrjn8Qz2DziyAVSsTw5R3RYIHCqafbmypYhNI+9kGGci63cnFcq0dGoSVzJpwja1Hu4jptRP2m7U8VbeTlXDm0THyrrgar+qbhWtm5PLtNs3sProL0oSJidJnKy6fTp6asWq5EIdR6Ink/bZ+okqLSW6xQSILeuTM3rKKYFjWQxb99j4zi8KeGJrHs/sLuDI0SLAp7AZ02becM78wtfO6j5cvfmWO04KnydMUdT4h+veid///u7ytFULbn/9ksIXi+QQFs90UBtz0dtTxV+dV8OmF3PCoaMDWyYIq6pToW2bRs4b9QNbgNY0NgJDuL8BuFU4bPjTNJTeZosMAwgwgZDo4YkNzhvvSzxeP7+2UTcFhpw8xr/V/sgUqPNwErXaBkLFkyjvIUiYeKMKOnEZeyKoNQeVubiMAhRE1lLhoGAyYYJLiiJiRzgVFIVQ6f7ngfgxwh8BoBZD2Qvw0OMudu9zgayLJ7bn4JUp5s9ZxZkz7fbd+8vlC9a842ThefIAB4DZs6aixnueb7LdDw8Prvju3v7f0hldBEHVRqVCwGEDxNUAboVc26V6OWPAQsyeLX8QfRsQC4FNknxA2Jg2jP2O4S5c55qSGAeapvglKpEJ4ziwfcwha1OBAzIdOErIVS786PtIgqVF/Y9mepvwzCugi/oqFIKrAyIIizLl4hfLgSY4BK2MFHcun2pCyTTBrnQBS95xizBQO0A6zUFSFuBTTO2q4OrL1rDmjtkfXrRg5vObnj90Su7fKQH4zLPmwS9trFmZFT+87Z7t2SZr0Tc78s9ix4EKHnosiyp3ATsFUAeEUs22zeHS5PSyqPJrvasdqAe3Lt2BCKz655IkOIgZWBVi3Hikw1jRhbi+W4PZCY9E7q0Aq08yw9upOXWU5JbiPlIspYQmKl1SbJMtpcRUIbJrm1RABOhF2J8qQajeOVet3qN8XE6YtFhS0aNegh2QobmWUkBdpJ0AF5znY8FMYNPzLv7j2ja88a/o31eXnvvDPz+9I7h45fxTAc1TA3AAsLOLsX//oeBt16zbOXKkZ2S03Fd46vm96CvlACcLYjkh1w6lNjHBHTZg1V3siNMJrmXjxGK8oW8zJ4ACXpKQDulnkhQnJqhII2An7DvVvqBwxIKtOBC25tPpShi7LikLdFCrAvnSZ8AgQlUplYU85bmZTtPCJ50AN5GUKKqmQCXQOQhnUTc4rmzjVLQdl2bHtnQFi6eX4Hu9WHne5SPLVyzbOTxyKGhZOfuU3apTBnAAaCpkkMv3/aarY+lHNjw28K31d/+p9VCJIZ1x4BBiZNuIENcI2Mo6kmjVgACsvj1u/jMldINw2RiQdTpTj01NxeKSt2oIPl3YrRs699Z4dzivlJ8ndk1R6poEN1dUR/JyruiP0gEl8OWXCektiFEkt83zE8m7RbCVJskpF+5+zqKJREQXCsIofNjwAwcpB/jMuzPYW1k10Dtz5Sfu3Tz8m/NmTiwMdqLjlAI8XxAp/M/vGfrZ1N4r7bdeU7yx9Kt7OwYGhkAJEdX+uQCy3jo7TApGjFqEyVoxKayBEzABq+v1ul6YvI2Ey0g4RgeZ+BG19cRjTu7+6RhOcvJA22c4OSXYhK1bwpjornwSUhB1vCQlArpMWIi4eVYhvTkP/RNcFgoi2n0XlhEe3U0CUKZKY8sOzFw45tT1BQEFOEct3YWe3sv65nev/c9A6WfzpnWf3A1MGCdlB280Zk8rIuP4P/7ra1dd/6bXzevrznOkKRONZYkwATpUVH11LA7XksV6ZMMrZfcO47o18108O95MRWssuetfJKIfBAkSHNpEq1dOGw0ygWMmOozIwvgOLc4k+bMERpw4tOXYNiC2PSH1TS8YFBbLVPZwPSYloPADisC34AcWgkCWh+MUHAQ2Jah6LgaG80B6RV+u/dLr/Rp+TEj76YDiydvBG42bbvwKzpq38ql8xunLubULHWswE7geBoZtZGzAsURveMdS/SnHSVCgCWBO5OeoUzylwp8QE07Mcxm2cpIwSYh2XpKwnYy73NAOfozXsScqjIkIRN9hTuCYMq3NYP05RuJTWXF3kNAaEjmStHem5XnyKEs/apgApBwfuw972LEnC5qaPVBsmfKZoYEXf9wxacnpguHpkeBqXPe+N6EpXVt/wblTPva+dZ0jzflhEACuxSXAJchtSLCLCNoQ8LReYhvAjSufcYUTsfUYKA3F8hSNWCj3yZ3kJD5mVGiNRxBCl9YJkr2hNEcEZP09ICJRWEpvz6fwfEu8B2pZlNY7MjSGTfumj5SC3o/t2c/Wz1r4plN38xPGKeXgSePqC0dYocf5+V/+PMkv5J2fdqT3pTOOFVIVW/bDUb9QVKdOK9XMTc6pSyEhYHgiR4/7YxLNgXJl4tTi9KmXUtc7ia8QDF7ZvjmJFMvQlcMRWlGUzOYa+ze2qgCYSBONfhAginUBYp3exHOAUgqbB+AWR8Ao+qrA2XMWVw5Vuz+w/k/Nt83oHjopN/yE7+npHh/64q044rVbs3N71pUG9/2vRze+mC7XHORTHK4jFE0OxNrLERkv0eDCNXAnSfQ6ia9Rk8RjqH686coW3D+iGJZ+rHTfi+ZSRHpWSdieW7Xztqhq4U2gN5wK36XSTbRwBBJu0wv26y0cTY8t1Y81akVGTzkSfpbHzKlmx2pl44b2uaQR1laRJSYC+eJc/B+uEyCX9jA0xkFTcytTJ7e9e9Y59PbR/UFQ6PnAacfeaaUoanz3C9fiDbMOBKVDV/3q0gvb3nP+yqmliseQTQG5FEE2RZBxCVwbGnh4PQ1BBDp5extSEcRBH9MUiX7CRiNxX+MoqRNiFuQYu44hgoxkCPlHt7TEK9UCqFc0w23xV/Rca1jFNqQ+QBAQVGsWyhUbY2UboyUHo2UHhPgok8ml3UOd75l1znt/teHeppcF3MBpVDLj49e334avfX0uLrnE2rL2quYXWnP0EpuNptMuQcqlsCwCPyAImCi1G8VzROYnHZAGqMfh5/X1COuls2F2TFIEcWwlU5jL5PbjDLbSnygnWpA/msSR8TM+f0lsiRBNqQytStF16h8KlVJlwFWFicICReL3q3k2Rss2KjWKSpWg4lE0NU8dmtYz6YNrL9328++uP4i3rHvXywW7l89focbnvvpTXL68HX2D3ntGR0vf2LhpS1u1PIKUS3FwoIq9h0kY/qlGZLfVLzr2iAbqgF4XnQfSEDzRY7zeykGhUxRI+24EcEtGE0b0Q38/BkXRqUm4LdZDiEZ9O0mMokTXpK/H6Uc9BTEoTLieTFNMy0tEG+PNgRkHdh90sL8vBUo4ujqK6Jk2t99NZT81PJZdP3/qLsxa8vJIbjVOu5IZH1/+7HvxZQCHDw+st23b7uzq/Oqu5+7v6O3cj2d2j+CZFzpQSEc3XSGa8/G1ryQqE+6DlFQJNMWwohyLsmijLi5EW+aJ5zCvP85p6+iIdk0TlULhNYUJEtIVL7epE+qKp1rj4QXw8Jjxvys6QjUZa8p4uPORYTy5pYgVC9ux9pwL+pYuXf5Z3/fXpzItE/wvTu14WTh40ujsbEUm4/zo4otWX3/F5av7uAs8tEXUpANMyUpjv3Dk36wfDe3EMY5ex8nNk8e/rJ7rQpNkMDcQ/XPj4CS8hCTaFb543WfGG3q2jnlZ0Se5dlycgyujSfzb4hNSKJaRLVxQrADnzB5BZzfBkmVr+hYuOv/6qmf96EyBGzgDElwfmUwGnA//cOpZ5/pPv+B/0/Mebuks9KNSk3HholIbggAIIKiLqWSiXsIlcVgDQfUKayQsSXiYPnRqFEbexVwiIgabGJPguCx+DaQ3jGvk4f8XH8YTBSoZGUqUx2rRE0D15wn/I0FJ1LUTfUGuqOsIpGPHl33vXSnB+4eyWDq3E8vOX3O00LryMwMj5Kc9nY3757wc44wCHAAIacL+vuBnSxauHrhqzcBZ2XT1plvvetDpG0hhUlYoZyNlUWFUxLFElhaI+y5jkU3pBzTg1OEO/SJggCkcGkKJRpFCqzGJgG2CPRmE4w4V16RdkzEB41SqfrH+XLEZprcG0ZdUnIpIkECk4etttgnCysGUCedNqWKDEI5c8xhe6q+h2LHWq1L3HxbNWr3Tst07CUmfBsQc3zjjAAeAyR0WO/DS9t98/ENvdJ9+dmOpv4pb7vrDFtLWVKVNeRtbX/LQP0SQtoC0Lfu4yB9eB5OhNMYtFjABk0gHEqlQ/XIoybXoKDMjvi62D4lQjF030GAixhRi/TixL7o6rs8+VVJWXaQ8qeHEgYz7ZpDhreq8srqKPL9qcpByfTi2j8HRNHbty6KQ5ehozbDps5Zx5s76aL51+U+2Pr+3tmhB65mGFYBXCMABYNKUOXjk2U21pmL3z7one3+54sLgbRkM/HNP8x60th/Fpt81gXMXaTt6VOqhouIRqwOhsTmuThrWaXjaiPPs8Lu05k8KS3EFcwIcRZ9UJPZNRmQkiSQvGVcLkV/N689vZu/oTyQJZBU3ovyZ4X0m4b1OOQFS6SH8eRPDxs1ZXLl6Mny77b/Mnjbplx5t3cvZptrs6ctOM1omPs6Ykpk0Vi46G/Onn1VuxuD2werir65YOv1L5y3tCTraPHDmg3AumxGJqMOwcI3GzUPzXAPaAm05Aj8xgBAqaVrygKopEu7S9sc1SV15M845zkh8usQmaDyCUpfexvUrhRGx2BLtYhi01tlhbInwIosTctlIjIMxgppnwfOodOz4GKlwFDtmBunC1C+tXrvqq09vYtsndc8vT578ygE38AqS4Pp487p12Pzkr4KFy97xBc5fstv2TPn7GVO2pbzhEWTcAPkMxWgFGK6IeJa0ozeRIqHNWDfdgZiC2nDUIMbpAQMMapAQ5DIGQylqRJ8IUozL71R5kElDn2iGWZAAZgVc08at3uMKtjHPSJSaBqJdgbouFWqrhAONJhbnws7u2gEsi2NwOI3RsoNsGkilUnDS0/DOq86rNnWu+2/nzOv4Aie34br3v/VMwyZxvCIBDgALl70FnB/GQ8+0fP6CFW+mLYUdq9b/79/QjF1ZlaHDNnM5HniOoTxmw7Ujp49tmabFePFJoilzoeNH+16NmkaAkduYLGum9LdGJY4NaZ0gupPgrsiCqSDHXxLclBuT0uzIpl0EBxjhsIxINe2+aAV/VBVjRb0oAfIZD0OVCp7a6YDVXCyY0+4zSja0917JZrbP2kBI8PkdewYxa1rzmYZLw/GKBTgAENKpFq//P7+4A2++4txCrVb+gRO89PbO5s20b2wMG55uR1eBwKIcjkXCcFsiTXYB4wiCqEqTyhwya5+IL9GrQjFZWxuAzEWUtl5ZTkFk0CDqQRnW4ibhuQwlIf6/hf9jgoJp6A1RgJQeTBV+TvFqSUkYg8G/LarMq5F3VM12ERylLpPAtsR3WT4Q2ATZtI/7t9bwb487uOS8XtbS1Xtrtjl33a4X+0eWda480/CY0HhFA1wf73r7G7Fn754RkOzH7GD3jr6Dwdk9XWPrmtx9cCwKx7bg2ASuA9iWkECMAzUP8HwusonkuWjoWhcAUEBhnKsudwZQgMi1DSosDgxc1v6AkQAMKEtGY2oCoE6MG8omibvhEUpuFV2oK8xhnLaKwpT0Q3iCo2Mp5bBlJCH3KaoeUPNk0XsCBDYP/9dSheJwv4XZvQuw/Jzu289ftXrT2Qsnf3topDKysLf3TMNhwuNVA3AAmDZ1GgAcefzZl/4p3/nXvRdfsBVT2rete/zJzRgaGkY+bSOTsiVNEWnDw4xhrBrA9zkcG3BtAlva021KYMnJAMi264yD6QFfiKxuVBbUDoHNo7p+dXRFjvGUS9PJ1JiSRI11o2UVayK+k8hgJxFuLBr1ignMJWUDhGLuuoFIEww4RsZsjIxRKekBy+dgjIESH45bgF1ciUW9M2+/+IpZn0BtbDdJdZ1pCBz3OF53xCtm9B85AsdxZj23fdfi/qNjH39287YL97+0EwhKolUHISgWLDhOBfdtruGlgxZas0AhA2RkeG7KoXAcAtsSdKbmMYyVGUoVDi/gIa8OrTJappFFifS2SqVWrVMarVtEbifyOBIdZ6lSdPoyl8tcbhelhcPtRKyHSdqSi3MOeAHFWNnCaImi6okWaJbF4TocaZchm2bIpn0Uch6K+TJ2Hwzw4NPNsGgWzQUBg3LFw6TOPBYvmolJPbPvY6Tw7fau6RtZ4O8oFlvO9E9+QuNVJcH10dbeDgA7OOc7AGxizJ900QULv79x87ZZd9/7lNXdTNGcB5YvLMOzRvCjvS1IVW3kUgwEAqCuQ5BOWXAdCkoJytUAA8MexiqiMm4Eag6LKhuxeKl+S5TzsOETFBc/Ubmhc3EtoSGs4qWa7tII+EqiB4zA94GDZQulipgwriNOaFsktIxkUx7SqVHcv5XivmcYlp3lIZ+1MaOnikLb4qB78tk7mrK1D047a9UBANsJedXKQPG/n+kLONkhf4DtpdHB7X4QXF5hds+ceUtu3fTUhqa8sz/Xkq8in6mixgL4zA4fx45DkHItZNMWsmmKfIbDdjl2HPHw0qCFvAukbMCxlbIZmSIIQdRnUk4EhCUbzAAm3SITllFL8FomtTWkJJLWlkrvU5UHLAbbYnBshpTrI52qYrBE8PyeFji2jWyGIpsWTzLHjrJsKGWwrRpGyikcHuIgNIXe3uljF69dPlypVq91smfto9Ta/WoHthqveoCrkc03o1wLdq9Zee7eg0dGFnYU6fnZNPufTdZjfm77U63FDAopG1CIc22KdNpCLkvRlOVoaQowd9ooahjAo9va4TMXzWkmrSfKwSNDSRUIuTCvRZF5ofE7HCHQtZEUFmDsA2JKZiS5bQluy+KwLZESVshWkcsO4o8b83h0O8O8nhr8wAbnNixiIeUQ+IGwJnm+jaqXxpwZ09DetWrwytUzRgs5+7rmtt6H3VTTEBAwQl4zsHjtABwAMq4FAGzo6IGjuZ5Jv6+Wh+c0d36v+vqL/uXTfcNP/KedO3Z5tWppXtYN0o7tIZsCChmGQo6hOe+hmK8iZVfBAh+1wBVWCS4Ut8jULdp3MCroid7RDDFl81gx7EBMikP+iVXmUnzbsjhsO2qXrlqm21YA163CZxkMlimGS6L5Lrh4prgOQWdbFpksr3Ar9VymZTl/37uucn3e/I07brvtp1ddczk/1DfGpk0tnumf8JSP1xTA1Si2TAIETS5teX4XXNe+yXasm1YsW2A1F3O3WKjOGRncv9pifVbaLonHPa3CdaqwLAZCqSxEhNDcGPhRpw5RpQmG9cQYOqXhJrXRjSwG9DVvpqIsUZaNeAlKEsgwBWHH9gNVYMdCEDCUqgFGSx5yKRdliyBP0uicNCWYNX/KAx0t9navNvphQoYDx3GRslP8Xe9+J3IZ50z/ZKdtvCYBro8Fs2cCEab8waGh6yzbbRkbGfjyji1/ckeHXgw4sssK2dq56fQIQGqghKGYCpB1hfNoqEwwUKJoSnM0EQZX4kHFwugURJjUuUjEpVoQWDzoSYUPkCijX0e/sFubTiDbYshlPOQzHgZH0xgacVH1CMBTAGyMjlZhuy7mz56MQpY+MTRSfnLK1OnWpZdfVuvqbP9cpVI52tT02pPS443XhiZxEmPrs/eDg1zo0PJlPW17r31ix+jc2/+UxuE9u1Cu1EBYDdlCFXuHyti7P4+2jI3OIpByCMpVofilUwSZFIVjkVBKUwJYltjmOBS2TaOKWRTSJi/ehelPXA8hQrHNphmyqQC2BZSqFtJugM6WMrKZo9i2t4wDh9vR0VxEU8FGwBwsmN+Ne5618cLh7m3LZ+Vvbcq7f+AM973h8ovO9C0+o+M1L8GPNeYvWgMA93Hv8H3AkvsXZ/2z8k3D7F//tZ9ZbvOMOTM6PtuR24UxNoIv/WgMg0dG0dNKManNxsEhDwf6LHTbBI5NkXYpPJ+j5jEwAgDCAuJSYckAAD/gYIF0MklbtyNbhFaqQNUDMikgl2FoLlSwpy/Ann0ZTOnk6G4twUmnse3IfIyOFLBk6QzY6Pvq7r3DLzR3X0bX9RRpLUjtBPD76ZNfGfHYZ3r8uwe4GsTpBIDfq/UjR/rgOKnmI30HN3gjAKOj3n9Y1/nJnIVLu4oEk9oDbNl+D265lSCXtdDd7sJ2GDY+PwKv6qOYs1BiHCmHIpPiyKcp/IBj31EffgC0Fm005YCUzeAFFK15D+3NPp7bXQCvptFl+2gujuGuTS04f+mF6O22Mam9gnS6enf7Dv+bLU0ZZ0rvQkyePPm+hcuqg21tbWf6Fr4ix/8HeIPR3t4BAIMA7gCALS8cxBsuwnMW87uyLlgxV0O5/CCozZBKWchlXYCMeUuWrriB1UpXF7PwDg0yFDLAlE4HUzoZ/MAHfY7D8wl6OhxM7eLI52o4cCSFnk447W30t09u23hDLltwqEVg2xZGak2YM3cBJrW5yGQC6tjk0AfehhdS2aln+ha9Ksa/ew5+Ksf//fUDIIR0DfYfLObTjL90hKGY5ZjS6WBaV4AgqOHhzRS+T9DTKQBezFfw4oE0ejop6ZncNsTBD7V0v/5M/yuvmfH/AIj/pvAIFurGAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjA3OjU1KzAwOjAwW5j4DQAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzowNzo1NSswMDowMCrFQLEAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 44430000
{'hecke_orbit_code': 893386752418, 'n': 1, 'trace_an': 8}
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id: 44430001
{'hecke_orbit_code': 893386752418, 'n': 2, 'trace_an': -1}
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id: 44430002
{'hecke_orbit_code': 893386752418, 'n': 3, 'trace_an': 6}
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id: 44430003
{'hecke_orbit_code': 893386752418, 'n': 4, 'trace_an': 1}
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id: 44430004
{'hecke_orbit_code': 893386752418, 'n': 5, 'trace_an': 7}
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id: 44430005
{'hecke_orbit_code': 893386752418, 'n': 6, 'trace_an': 4}
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id: 44430006
{'hecke_orbit_code': 893386752418, 'n': 7, 'trace_an': -2}
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id: 44430007
{'hecke_orbit_code': 893386752418, 'n': 8, 'trace_an': 2}
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id: 44430008
{'hecke_orbit_code': 893386752418, 'n': 9, 'trace_an': -7}
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id: 44430009
{'hecke_orbit_code': 893386752418, 'n': 10, 'trace_an': -2}
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id: 44430010
{'hecke_orbit_code': 893386752418, 'n': 11, 'trace_an': -2}
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id: 44430011
{'hecke_orbit_code': 893386752418, 'n': 12, 'trace_an': 8}
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id: 44430012
{'hecke_orbit_code': 893386752418, 'n': 13, 'trace_an': 8}
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id: 44430013
{'hecke_orbit_code': 893386752418, 'n': 14, 'trace_an': -1}
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id: 44430014
{'hecke_orbit_code': 893386752418, 'n': 15, 'trace_an': -18}
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id: 44430015
{'hecke_orbit_code': 893386752418, 'n': 16, 'trace_an': 1}
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id: 44430016
{'hecke_orbit_code': 893386752418, 'n': 17, 'trace_an': 0}
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id: 44430017
{'hecke_orbit_code': 893386752418, 'n': 18, 'trace_an': 26}
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id: 44430018
{'hecke_orbit_code': 893386752418, 'n': 19, 'trace_an': 4}
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id: 44430019
{'hecke_orbit_code': 893386752418, 'n': 20, 'trace_an': -14}
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id: 44430020
{'hecke_orbit_code': 893386752418, 'n': 21, 'trace_an': -4}
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id: 44430021
{'hecke_orbit_code': 893386752418, 'n': 22, 'trace_an': -11}
-
id: 44430022
{'hecke_orbit_code': 893386752418, 'n': 23, 'trace_an': -4}
-
id: 44430023
{'hecke_orbit_code': 893386752418, 'n': 24, 'trace_an': 4}
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id: 44430024
{'hecke_orbit_code': 893386752418, 'n': 25, 'trace_an': 14}
-
id: 44430025
{'hecke_orbit_code': 893386752418, 'n': 26, 'trace_an': -14}
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id: 44430026
{'hecke_orbit_code': 893386752418, 'n': 27, 'trace_an': 0}
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id: 44430027
{'hecke_orbit_code': 893386752418, 'n': 28, 'trace_an': 1}
-
id: 44430028
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