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mf_newforms • Show schema
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{'Nk2': 7800, 'analytic_conductor': 15.570828394149675, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 25, 'char_orbit_label': 'y', 'char_order': 6, 'char_parity': 1, 'char_values': [1950, 6, [1301, 1327, 301], [6, 3, 5]], 'cm_discs': [], 'conrey_index': 49, 'conrey_indexes': [49, 199], 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [4, -8, 20, -8, 22, -16, 14, -4, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49541245202073502, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 65, 12, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1950.2.y.l', 'level': 1950, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '1950.2.bc.e', 'nf_label': '8.0.5308416.1', 'prim_orbit_index': 12, 'qexp_display': 'q+\\zeta_{24}^{4}q^{2}+(\\zeta_{24}^{2}-\\zeta_{24}^{6})q^{3}+(-1+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1950.2.y', 'trace_display': [4, 0, 0, 4], 'trace_hash': 1072241687129386912, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.454', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '233.403', 'prec': 24}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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-4, 17, 0, -17], [-16, -13, -28, 15, 16, -2, 56, -2], [0, -17, 3, 4, 3, 4, 3, -17], [9, -13, 0, 13, -18, 9, -35, -4], [-39, -14, 16, -14, 39, 28, -32, 28], [-4, -19, 0, 19, 8, 2, 27, -17], [18, 29, -6, 6, -9, -6, 6, -29], [6, -12, 0, 12, -12, -26, 16, -38], [40, 15, 10, 21, -20, -21, -10, -15], [23, 27, 0, -8, -23, -19, 0, -19], [20, -12, 4, 28, -20, -16, -8, -16], [-8, 8, 24, -4, -8, -12, 0, 12], [-9, -13, 0, 13, 18, -13, 11, -26], [-30, -1, 13, 3, 30, -2, -26, -2], [6, 42, 18, 4, 6, -38, 0, 38], [-26, 20, 20, 20, 0, 14, -10, -34], [-5, 19, 8, 19, 0, 18, -4, -37], [0, -26, -5, 4, 21, 4, -5, -26], [2, 7, -3, 0, -2, -7, 6, -7], [-7, 10, -13, 24, -7, 14, 0, -14], [0, 24, 6, -10, 26, -10, 6, 24], [-25, 10, -17, -14, 25, 4, 34, 4], [8, -34, 0, 34, -16, 20, -22, -14], [-7, -22, -12, 12, -7, 34, 0, -34], [42, 24, 11, -23, -42, -1, -22, -1], [-4, -22, 16, 16, 2, -16, -16, 22], [-18, -9, 44, 5, 9, -5, -44, 9], [-9, -24, 0, 24, 18, -3, 11, -27], [16, 8, 32, 17, -8, -17, -32, -8], [-7, 1, 4, 1, 0, 12, -2, -13], [19, 8, -14, 8, 0, 11, 7, -19], [12, -14, 0, 14, -24, 26, 24, 12], [-10, -21, 38, -21, 0, 24, -19, -3], [-3, 3, -10, 9, -3, 6, 0, -6], [-50, 15, 9, 3, 50, -18, -18, -18], [0, -9, 11, 18, -41, 18, 11, -9], [7, 16, -14, -3, 7, -19, 0, 19], [0, -6, 16, -3, -17, -3, 16, -6], [-5, -6, 25, -36, -5, -30, 0, 30], [-8, 25, 6, -11, -8, -36, 0, 36], [39, -18, 0, -18, 0, 7, 0, 11], [40, -5, 10, -5, 0, 12, -5, -7], [-24, 0, -27, 3, 12, -3, 27, 0], [0, -7, 1, -22, 18, -22, 1, -7], [0, -9, 1, -13, 38, -13, 1, -9], [-14, 4, -22, 12, -14, 8, 0, -8], [26, -23, -22, -23, 0, 20, 11, 3], [0, -8, 15, -1, 44, -1, 15, -8]], 'char_orbit_index': 25, 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'hecke_orbit_code': 49541245202073502, 'hecke_ring_character_values': [[1301, [1, 0, 0, 0, 0, 0, 0, 0]], [1327, [-1, 0, 0, 0, 0, 0, 0, 0]], [301, [1, 0, 0, 0, -1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 8, 'label': '1950.2.y.l', 'level': 1950, 'maxp': 1999, 'weight': 2}
-
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{'Nk2': 7800, 'analytic_conductor': 15.570828394149675, 'char_conductor': 65, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 25, 'char_orbit_label': 'y', 'char_order': 6, 'char_parity': 1, 'char_values': [1950, 6, [1301, 1327, 301], [6, 3, 5]], 'conrey_index': 49, 'cusp_dim': 792, 'dim': 88, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 1649300998046, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 12, 12], 'label': '1950.2.y', 'level': 1950, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 888, 'mf_new_dim': 88, 'num_forms': 14, 'prim_orbit_index': 12, 'relative_dim': 44, 'sturm_bound': 840, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [88, 0, 0, -44, 0, 0, 0, 0, 44, 0, -24, 0, 0, -16, 0, -44, 0, 0, -36, 0, 0, 0, 0, 0, 0, -24, 0, 0, -8, 0, 0, 0, 0, 0, 0, 44, 0, 0, -12, 0, 96, 0, 0, 0, 0, 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-32, 0, 0, 0, 0, 0, 0, -24, 0, 0, 16, 0, -24, 0, 0, 0, 0, 156, 0, 0, -164, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 848593
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1950.2.y.l', 'source_level': 1950, 'target_char_orbit': 25, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1950.2.y.i', 'target_level': 1950, 'twist_class_label': '1950.2.bc.e', 'twist_class_level': 1950, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 848594
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1950.2.y.l', 'source_level': 1950, 'target_char_orbit': 25, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1950.2.y.i', 'target_level': 1950, 'twist_class_label': '1950.2.bc.e', 'twist_class_level': 1950, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 848595
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1950.2.y.l', 'source_level': 1950, 'target_char_orbit': 25, 'target_dim': 8, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1950.2.y.l', 'target_level': 1950, 'twist_class_label': '1950.2.bc.e', 'twist_class_level': 1950, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 848596
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1950.2.y.l', 'source_level': 1950, 'target_char_orbit': 25, 'target_dim': 8, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1950.2.y.l', 'target_level': 1950, 'twist_class_label': '1950.2.bc.e', 'twist_class_level': 1950, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 848597
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1950.2.y.l', 'source_level': 1950, 'target_char_orbit': 29, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '1950.2.bc.e', 'target_level': 1950, 'twist_class_label': '1950.2.bc.e', 'twist_class_level': 1950, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 848598
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1950.2.y.l', 'source_level': 1950, 'target_char_orbit': 29, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '1950.2.bc.e', 'target_level': 1950, 'twist_class_label': '1950.2.bc.e', 'twist_class_level': 1950, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 848599
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1950.2.y.l', 'source_level': 1950, 'target_char_orbit': 29, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1950.2.bc.f', 'target_level': 1950, 'twist_class_label': '1950.2.bc.e', 'twist_class_level': 1950, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 848600
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 8, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1950.2.y.l', 'source_level': 1950, 'target_char_orbit': 29, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1950.2.bc.f', 'target_level': 1950, 'twist_class_label': '1950.2.bc.e', 'twist_class_level': 1950, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2325625
{'charpoly_factorization': [[[1, -1, 1], 4]], 'hecke_orbit_code': 49541245202073502, 'p': 2}
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id: 2325626
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 49541245202073502, 'p': 3}
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id: 2325627
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 49541245202073502, 'p': 5}
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id: 2325628
{'charpoly_factorization': [[[4, -8, 20, -8, 22, -16, 14, -4, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 7}
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id: 2325629
{'charpoly_factorization': [[[529, 828, 294, -216, -85, 72, 54, 12, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 11}
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id: 2325630
{'charpoly_factorization': [[[28561, 0, 0, 0, 191, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 13}
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id: 2325631
{'charpoly_factorization': [[[2116, 4968, 2140, -4104, 1398, 0, -38, 0, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 17}
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id: 2325632
{'charpoly_factorization': [[[324, 648, 324, -216, -90, 72, 54, 12, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 19}
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id: 2325633
{'charpoly_factorization': [[[58081, 89652, 37452, -13392, -433, 432, 12, -12, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 23}
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id: 2325634
{'charpoly_factorization': [[[341056, 270976, 166240, 43648, 9496, 592, 100, 4, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 29}
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id: 2325635
{'charpoly_factorization': [[[145924, 0, 171672, 0, 12128, 0, 204, 0, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 31}
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id: 2325636
{'charpoly_factorization': [[[16056049, -4199336, 1082276, -132416, 20791, -2032, 260, -16, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 37}
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id: 2325637
{'charpoly_factorization': [[[21316, -61320, 73692, -42840, 10550, 0, -102, 0, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 41}
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id: 2325638
{'charpoly_factorization': [[[386884, -365736, 111516, 3528, -5290, -144, 186, 24, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 43}
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id: 2325639
{'charpoly_factorization': [[[-1724, -544, 20, 16, 1], 2]], 'hecke_orbit_code': 49541245202073502, 'p': 47}
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id: 2325640
{'charpoly_factorization': [[[9604, 0, 13720, 0, 1824, 0, 76, 0, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 53}
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id: 2325641
{'charpoly_factorization': [[[5740816, -4542816, 1466624, -212352, 7356, 1344, -64, -12, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 59}
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id: 2325642
{'charpoly_factorization': [[[8567329, 3606064, 1412452, 138016, 23935, 1888, 292, 16, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 61}
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id: 2325643
{'charpoly_factorization': [[[20647936, 2617344, 913408, 144384, 34752, 4224, 448, 24, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 67}
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id: 2325644
{'charpoly_factorization': [[[6115729, -7329972, 3907740, -1173744, 213623, -23760, 1596, -60, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 71}
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id: 2325645
{'charpoly_factorization': [[[-2231, 804, -34, -12, 1], 2]], 'hecke_orbit_code': 49541245202073502, 'p': 73}
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id: 2325646
{'charpoly_factorization': [[[622, 212, -102, -4, 1], 2]], 'hecke_orbit_code': 49541245202073502, 'p': 79}
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id: 2325647
{'charpoly_factorization': [[[-263, 340, -70, -4, 1], 2]], 'hecke_orbit_code': 49541245202073502, 'p': 83}
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id: 2325648
{'charpoly_factorization': [[[5080516, -2461368, 275772, 58968, -8074, -1296, 138, 24, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 89}
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id: 2325649
{'charpoly_factorization': [[[61606801, 2637264, 1792582, -71904, 37947, -672, 214, 0, 1], 1]], 'hecke_orbit_code': 49541245202073502, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 25, 'hecke_orbit': 12, 'label': '1950.2.y.l', 'level': 1950, 'portrait': 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BIqS2oEqY5YaEv6w5AoEAhrmJsyrJvULLZj2n3BIAtZ6gk2ThoWVgwnzitqYcTGGdg6l7BhdsD62SEbZ4ds3WDZvlFx9baQumpy9MQE33wq4pEDGU8cT9Gqw5tfusLbbrPU1SwHjk9x9EzA6Quacx7cBy9abr52nv/wziW2rZvk9Pw0FxbrLCyHLKxIljqala6m04d9RxbZe2rl6mcOnX/Z8dMXdp44c+GLt7727cm9X/r4cw2Jv9TtbzSDzy+0STONlOJddz9y5Laf/40/le+47dBtP/HtJ4OFlTkWV6a4uNzg4lLMxeWAhRXBwrJmsZ2ysKw5twyHFwTr1y3zC9+7wAuvbHDy/AxnLjQ5czHg/ILl3MWMU/OaC52MqZkBL7m+y4uugkjWiVXM+cUaZy8GnFsU9IaQZYZaZGjWNNOTGQY4fi6j3YUdG0Ka9SHWChAR3b5h+8YhC8sBWCdFlrswzMBiWVxJ2LI+pNNXCGURZshELWT7pgHLPcHxMwHaBMxOSFo1QRxClgl6Q8m5RcnZBcv5pYw4HkCYces1XW67VjA3UWdhaYKT52POXITzFzPOL2acXoTDC5YXXHOR//i9S2yamuDEuRnOL9aZX4z8KmhYXElZXNEsdAzn25ITbegtrfDrP5Fk3/P62jdqcz9kwvq137DYnxVCEURTzzVULnn7G8vgv/u+P+XlL7mJf/NvfvKX/vBjX/83/8+Hvnr5gRNLO4+c6cjbruty2SZLlgUYozBWYpGetyXuurUoaYkVnF6o88AhyfW7F7lq24BGDcJAEoWKKApo1iWNUNLrhuw/VuPLj0QcvzCknaXsPzlkw+wib3nJEtdf3uEFV61w7GLGxZ6gEQ84csay0m5y3WWS5YFm7zFFqxHw9HG4YrNlkGgGOiIIUqZbsO9kjAo0ocwIQugPJS+8qke/J7n+ck27rzl+psWujYpmI2F5aFk/1WOp2+ZjX4PHjmqeODpgx+YFbtjTZnom4U23dvj2l1t2b2yh0ymOnp7k8KmQk+cMpy6knLqgOXxBcGI55XlXzvMfv7fDxqkpTp6b4fxig4vLERdXJIsrhuVOynJHs9wzLPUE53uKdjfhRddc5MffekG2Ir1zZeHIrjRNbokau+tRbfYrTz38SX7rdz7yXENmzdvfSAb/yEf+jFtv3KY++/X9//7A0XP/9puPHVcXllOWM8XiQHPDzvP89x+d58bLG5xfmGZhucliu8biSsjCSsBSB5ZWNEvtjMVOxsUVOLkkCOoDXnztIt/58oRd65ssdye4UGGvxRUnEZY6hnbf0B5aeoOM2YmU7RsMIIhDy6kLIULG7Fiv2LXZsnl9j/NLQx4/2OL5V1ga9SWeOjRDq5mQJCGz04b+AK7ePuDDX5tiz7aM4dCyblKS6j6tWszTxwbUwyY3XpnxxJGE8wsRW2Zjdm2C7RsTlEo5dRGi0CKEZceGjOmWpNOP6fZC2r2QxbZicRkWVgyLK5qLK5pzK7Aw0Gzf0uU7X3GRF18VUAsnOHtxgotLNS4uByy2BUse3EsdzVLHstCFsx3FheWMW646y3v+yQJ7ttZZ7rTo9iMGyQQ23KNltPmX5vtX/+JkdFy/5BV//7mGzqrb3yiA7z9wgHqtVj99+tT2Rx97+h2Hjp7+z0/vP0k/UXSGgpWB4OJAcqGT8oLd5/mv/2SB511W58LiNBeXmyy1ayy2Q5baAUttWO4YljsZy52Mxbbl/IrgTNeC6PK2l67wphcaLttUI0kaLK3UWO5GrHQUS11BpycYDC1JZtEatxqEUI8tUxOW9TMpQTjg8NmEJw/FmKzJG25JCMJlHt47yc5N8PkHMl56XcyFlT61QJHplJlpyNKQIMxYWGjwkpvafP6+Frs2wUMHh4Q0eP0LDZno8+RhzdFTNQIZsWE6YLopqMeCKBIoAZmBJLUMEuj0LMtdQ6dnWO4ZFrqWvtbs2NrjTS9a4W23JWBaLCxPOr29ErLYDlhageWOZqWbOebuGha7woG7nXHzled5z49e4NqddRaWJ2n36nR6EZ1+xNKKRMXbiOobf37Dlqv/ZNvWLScGg0H/iiuvfK6hVNz+xgD82LFDrJ+biw4ePPT9Bw4e/K2HHn5MXFzoyu7A0OkbugNLZ+BAfqHvQP7CK87z7h9a5KbLa1xcnmJhuclSO2a5E7HUCVjuCJY7lnZXs9zJWOkalrqWCx3B2RXD9FSP176gw61XZezYoJioh7Q7NeJQAookkxgjMBZ6A0AYplsDDp62GJtwx0NNhr06l2+JePH1PVKzzF2PTHHjFSEHz3VZWZrgRdf3+MrDMRtmLHuPW/7pW9vsPRazYUby5UcUL75asdhrc+TkDDdemXDXk32yYYNbr4nYvW1AP+vypYcVaMHhUwETjYBAQK/vgmptLGkGSEMQGVa6lmYrZdumIbdd3eO1z8+YbdY4vzjJwnKdpbY7NkttwUoXVjoZK92Mla5mpWdZ7ErOdQXznYwX7bnAL/3QPDdcVmNheZKVbsOBuxfR6Qe0uwErXcFQ18zuy6+3O3ft/vHLdu9+/8WL88lVe/Y815AC/oYAPMtSmQz7b3nkgc9fvtLV73nwgYfD/tDVRvf6Gb2BA3h3YAqQz/clZ1cybr36Au/6oXmevztiuT3J/FKLlW6N5U7EcjdgpaNY6UGna2n3MtpdTbdvWOlZ5ruC+S6kesgNV/TZOKPp9ixvfNGQnRsNmZYE0pKkcOfjNU5cqLFpOuOpwzUwDa7aqrhpjyGu9Xj4YI/5i02u3dlkYmqJ+54IufmKGgu9ZZaWJti40fLAXsX3vKrLg3sDtq4PudhdYWlxhpuu7nHfU5qZ+hTXXt7lwsoKDzwzRT1o8oI9liu3D0B2efyoYP1Myvn5lLseDxmkCilBG8vOTQmvfVFCp6vYPG246QpIkgaLKw0WV2KWuyHtnmKlK2l3od3TtLuaTk/T7hmWe5bFvuT0imBlMOTFV87ziz+4xM1XxpxfnKTdqdPu1ej0Qzr9gG5P0elLOn3hjmkv5cabbk4zo37qHW//lkOtZv2zYRia5xpbz3kmM0266Kz3vedPPfhrSxf2z5w+t8xEQ6KUQAjrfysDYRBCIIVFClDCoGTAgwc28LN/EPC2Fy/yXa9aZNeWhHMLE8RRnXoc0YhDmvWATl3S6odMNgN6A023r9kwNPSHls4gZnG+xqmTliQznD6XEccWEETKEkhBr68QhGS9gOftFOzebNm+pcdQd/jCg4p9h6Z53fNjbrp6iQ9+wRKJBju39HjiPsWWKcW6iR41VSdJQy50oFkL2LpB8Ni+hJuurPPyGy/ygdv7RGGL19xiCeMeX30g4fP3N3nmaJ3LNjfYuUkzN52wa13KdTs1ShkCZQFLI46Zm4pJ0pBOL+KpgyHdQUCvr+gOJN0+jiR67rt3+ppu39LuW5b7MN9TnF+yNCZW+GdvnOfvv3jIDZc1OXuxxUq3TqcX0+k5x6c3UHT7km5f0BtYhokjga/f/UDYaM3+2uzcA4uvecUt/7rd7n1gYqLx/12A66wD8INL5+5819kjX5vJhn2atRogQODsNm/0CKmRAqQwSOkckkBZIil54uAcjx5ocuDMBd56W5fbrhkw1ZpgcaVBs11joh/R7QV0/MnuDwJ6w4DB0DJIDElqSVNLpt09ySKsAakEYSCoRYKplmC6BRvXGbZu6LFueoUvPgx3PxoizSSve37I867qcO8zKclgghc/T7DS73NhocmtVxrWTfWoBzGDTDHfTlFG8LwrAxqtIY/sr/GymyZ50Q0dHtmvwE7y/GsifuDNi3zlsYQvP9hk74ka2+cUG2fqTLcaTLagHkMYWJQEY2HvUYHWgjQTJBkMU9x3HGr6Q8NgaOgNDL2hoduH9hDmu5ILHRiaAa++cZG33LbCP3iNIcsmOHexSadX85IkpOuPX28g6Q0cuHsDQ3+g6SeGbt9w6vxZjpz54szFjvmV737ry4Kldu8Ppp9DkD9nAE+HF7HW/ED7wpfftXj6C+ulHdJqNEAYLBprneUnhEAItxRLAVKKgrkCZQmVoR4KLvbqfPRrW/nqo21eet0y73z1Mtft6jI71WBhuUGnH9Prhx7Yyt0TwTCVpJkgy9xSb/2ioaQlCKAWQaNumGmlbFnfI6PLwdMpH7urxpGTTabiOjdfE3Dr9W0eOLDCHd+c4JYramzf1OPDXxMoETPRSlnuDjEWlIC5iR7tToTJ6rzlpRf46Ocb7D5f40239EjSBe56cpZU13jhNet5081trti2wlcf6fHEyQaPH43YOiOZmRA0YkEUuotQChDCYiwYY0kzf7GmlmHqLuRBAv0EOgPB0lCw2AERDLhxzzLvfO0yL71GMztRY7ndZLnjWLs7COn1A7oDVQG2oDe09AeawUDTG2p6QxfsZlZx7vwKv/Ohr64fZrzrH7z1JfbU+eU/3LrhufHK/68DvHfmvxGEDczKR78vS3vv6c8/vc5mHaKoQU1naCMwBrACgUWAlybKgVtqAiUIlCFQhiiwxIGlHgiWBoqFlWk+fmeT+5/q8uIblnnna5a5cfcKs7pOlsX0BjW6/ZD+MCBJFWkmybR0f9f/TSkscWRo1DLiKCEKh5xeGHL7Q5JDpyKOnppGmZjdmyKu3qV4/lVtVDzPk4dbbJlqcO1lsHFuicX2BNdtkWTG8sUHY4Y9yVQz4/UvHPDZu1JOnGux5/KQs8sDnj4Ssm3DNDfsmufeJzrc97RgmERctWuGq7bFXLW1w+Gzixw6DQ/ua3DwSJNGIIgDSTO21EKQ0mcArLtYMw1JBokWdIeC9kDQTiExGcYOeMEVbd752jYvvU6zaSZmMJhkYaVGpxvTHUT0+gG9gZMkvaGgP5D0h9BPPLiH2rO39auhZZAKjA04fWGZX//Q19c/cuD0e9ZNxtnP/fePffD0mT7vf/c/+rsL8J/45d+hvukOTh247R805KH3muHhKWkVUVTHmIxMK4wRBYuCQgiJlBIlBUopB+7AgTwMBFFgiEJLHFoakWaqJugMQ5ba03zi7gm+9viADdM93vGKFa7aNmDQ73LtLsu2jYphGqK1QhuJzcEtDWGgOX7ecvScYLlv+My9DU5fnMYmIdM1xebZgB0bAy7bAtfubmPkRX7vs00WFye55aqAa3ev8NXHBSILWT8taTYyemmEtBKsRAURKwPB+UXBNbbBK57f4RuP1Nm8LuKWa2f4x2++yPs/3+HB/U26g5CF5Ra7NtfZs6nHC6/s8G0v63BmcZHP3Buz0Is5fjbk9OmIUAmklAgExlq0gdRYdGaYnk25/poew2HKVduGvP0VQ9ZPKmZaMWla4+x8jV4/ojd0q1zfA7s/lPSHgv5QMBjiVoKh9nfjwJ4Y+kPoJYJ+CoNMkIqAI+eWOfnp+9c9f8+W9770+RvT97/7mj+eP/YrzO38yb97AP+JX/4or3/Nd4p/9NPyOzY0n/r973zpE40bdiv6gxrapNhIYIwECw7fAiEcK0kJSkrP3P4xcECMAkEUGmqhpZ5aGollsqaZrgt6iaSTNDl6qsm7/3gGTIbIMp5/fY9dGxOyDIw1WOuSOFIIpBIEYcT+ExF7D9Vo1gJakWRdQzA3K1k/E7B5TrFjk2bPjmW0WOA3PjnB8RNT3HJlyFU7Nf2swzefjJmqh8xOWqZaCY26k0LGSFYGisWuZWFFs9Kt85Jrl3lob499JxRTEzVeeM0UP/SWBX7zU/DIoSbdvmW5E3B+cYKN6xqsnx6wY3bAT3xHj4nGCk8chf0nJWFoUcoihCE/kNZClsHOjZoXX5eh05A0i7G2wSAJOXcxoj90K9ogUYV86yeCwVAySAT9BIZeyw8TwzAxXvI4cDvpI+il0EsF7UzQycAYzXAwpLfyyNRrb9zw+790dj672P/pj184MmPXX/ZDf3cA/iM//9sIuaI+8onffduR4wsf/OADC7Un9rV4948tc/V2gxAGIXCCxDsnTm9bF1Aq5fR24Gqjw0AQhYphKBkmhjjRDFNLPTUMU0OSWCYyGKaGYQZJJhikkqGOSXWNfYeaPL4PtLU4aDttHEqIlKv5aMVw7SaYqMNkUzLdUsxOBayfge0bh2yaWya1i/zGJyc5fGSSmy5TXLZVsnvrEl9/OuP8wiTP3yWZnjDUoj6xjLFKkGmJsJZMJyx1a5xfCLnpqjrPu7LDvY/U2DAtaNRa3HSl4Z+9bYH3fsrw9OkWy13DckcxvxSwbqrJ9ESd6YlJJhopc82UHTclxGFGGGQopZH+OFrcRZWmigvzAWmmSDNFkiqGqX9MJMNUMkwkg0QyTIQLUBPBMLEO1KlhOPSPifG6HgapA3c/he5QsJJKllJIkhSGPZ63a5l3/ZOLvOrqc43uSvTBqea7TXNL+Emz9MtaTv/M336A/9x7PsrsZFMdPnX+7U8dOPmB+58+U6Pe4Av3zxAG8Is/ssK1W3tIYQv9K4RFKicXlAwIlSVUijCwBIEkCoU7CaFgGCmS1AE9TS1Jpp0rklXuGjJt0dqgDYXOz8EtBCgJgYQwhDgQ1GJBI5Y0G4rJhmR6UrB+JmPHxh6t5jKf/EbCXU/OsHxxguu3K3ZsCrli2wAtlvnigw2aYcDctKLVGPDkYXjmSMB12yy9oeKGK1Ku3205d1YzvxTRHzR4w80d7nmiz8HTimZdEkcTXHeZ4Re/b4E7n+7z2TvXsdC27FivWVoJmJpQTDZDWo2QZt1Siw1xZIgDTeCPnfStldbiElZGkBlJpgVZJkgzSZIJ0lQyTJ3zkqSCJLUkCQxTTVKQhnObBmkeuOIYPBWOvTPBciJYySAZJsi0y/N2LvMff3iRN92i6fQakD1RE7r3R4vHr/1HvWTnn5499Id60+U/8Lcb4O0klQtnLn7X4aMXfvvx/RdqKq6hrYW4yZ/fK0mGire/qs07XtVjsmWQPcfoShkCGRIoQxgagiAgDBRR6NgmCSXDSJCkwp2cVJFmkKTSOQhZaftl2qC1cxe09U6J1/lCCC+BBEEgiAJBHElqsaRZF0w0LFMtw4aZIXPTHTK7zMfvkbz/87Osr9W4frtg+6aQnZsNOzYt8clvWhYXa1y1UTE9Aa1GyvljkgtLMdEuGKaCuUnJ1BQcPGpZahvOXaxxxc4ar3p+h9vvrjHbgjiKUHKK63YLfvhNFwjlBf783mmeOV1jQztl/VTGZFPRqisadUk9DogjiEMIAucwOVu1AnLcha0NaC3INB7okGpLkkGaakcKqSHxj8PUkKYwTF3pwjB1zD3IHLi7mWA5FXRSix4Mmay1eccbFnjHq7q87iZLt+f8f2MUSxdP1bSa/f3WpAiUUh/B8czfToD/2/d+hkyb77vrvqf+6+HDpyemGyEDIxhoSEQNIxVffFDxzadrnF1c5J9+W5/piZRa3KDd1QRKEwSaMA2JAs0wDBimygHcM7djHOGYyLNSlkGqQWvnJBjjAi5jbN7D6cHtAK6U8EGrA0gthkbN0KpnTLUy5qb6rJte5hv7Ev7ojjr7j06xczJk90bYujFi6wbYs71NL2vzwN4J6ipkblox1YKp1pDpyYwoChDCXVz9YcRiO2W5Z1npZlxYiti+scWLrrrAHQ/22H96gkacEqoIISbZvUXxD19zkRfsucAf3dHigaemWOgGrJ/ImGpkNGqSek0Rh4I4lIShi1WUwtuHDuUW18NqDAXQM2386uZIIc0MmXbgzlJIMlveU+fKDDLBIBX0UkEnE7QzGPQzbNZnttHmx759kZ/47h7NekC7UydJI9IsRBvlK0APT0TB4DfqUzdFK6f/5/snt3zv3z6ALyyuECj5g//5Nz/5rtMnzsw2I4EQhpoVDLWgryV9GZG0FMvDkP/6sZC9h5f5lpd1ePmNHTasS+h0avSHMVESkYQhURgQp87eS1JXK5KmkiRzy26aeU9b460/PHNLjKUEt0tSeuaGQLmESRRaapGhXsto1TKmJ4ZsWtfm/EqP3/pMyBcfmmFxqcnlc4Lt6wVb1kdsXS/YtXlAEC3z0bsCjpxscuUGyXRLMtnUSDnk9LwlDiTSJ6+SNGDH+jYPomn3FEtty/nFOldurfFtr1jhT78acex8TBikCBFibJM0kzx/1xI7vrvNFx/p8eEvzvDwsSZbpgXrmppmTVOLBHEoiEJJGAgChQucpShqMizuIjMW57RoB/gC5NpJOrcKQqJdrUuSCYYZDDNBP4NOJumm0E8Nujdk67o2L79pmW99eZc3vkATyjrLSzXSLCTVAWkWVBwry+LFC7OZTN+z4bJ3qOHgrX8Q1/7PTNz6PwLwhcVloij4x5/53F3v2vvkU+vXNwwa4RjDQKQscSaoSUFXBvSlYiUJ+ejXa9z5RIObrury3a/p8/duabNuckhvUKOfRMRhSJoFDFN3wJJUkWWKVEuyTJJqQZZJtBZoI0qtbQSFKrGOuaUApZzrECpDFBriSFOPM1r1IeumuvTTPl990vKxr0/ywFNTTEch122xbJqRbJiN2Dwn2boh4bItSzxxrM9n7pljUgXMTQommoKJRspKT/P5b9ZoRRYhHLD6w4C3vHjI5+53NTErXcOFpYCt61u89bYuD+zrsPdgRDPOUFI4kJsGg8Rp/X/4qhWu3HSBj97Z5r5npjixVGfjhGCyZmlEhlpgiEIIlEB5F8oxOeTlR8ZLNWPKFS7zQHcEAakWpNpnRbWgn7l7R8MwMWRJQrPe5a2vW+K7X9Pmpj2aDdMBg0GLdtexdpoGpDogyxSZVmifc8gywWL34PqEe961/bKXm0Fv5X21xl8/yP9aAb60tEyn0yWQ4nu//JV7fvWzn/vqbK+9zETdJTsygw/4IJIQa0usBX0t6MmQfhhwqh1x5v4m9z/Z40+v6/D2V/d4/YuXmZmMSJKIYRqRpA7oaepcgUwrMu0TNroEuLGeuU1ZUyaE9UGlz4YGhijUxFFKPU5o1fto+nzlEckff22Kp45OItKYndOWTVOWdVOKuZmIjeskm+dStm9sc3K+w+98tkk2rLN1q2CqFTDRhIlGiggT2v0mUy2LEM7jTzPJTKzITEYnjej0NEttxen5Otdc1uJHvmWZ93wk5vh8k0Cl/sIIyLIag0SycTbm+Ze3uf6yLk8fP83Hvl7njoenOLNSpxkrWhE0Q0sUWEIFgXTpfCFGq+sMYI276LQRaAuZdkSUakGiXZKorwV9Df3MkmUpJk2YrfV5w6uXecer27z0uoypekCaNVheib0kCUiywBOQIsukA7lxZJRpyTDpsLhy5/r+IPjVXVfckl28cOZ/1htNGs2/PqD/tQK81+/TajW/9b4HHvrNL97xlYlBf4WJhiqCmExDKC2ZciBPNIQaIm2pK0FPC3oqZqBDLgzr/PkDTe56uscLv9zln397h6u3d1g/pZhoBiRJRJKFZFkJcp0D3EjX5WOdJLBFQOlqWZSyLhMaZMRRRqgS2v2U+XbKr3+yxtEL0zyydwprImbrgvXrLOsmBbMTitmpkA2zko2zGVvmesxOLfHFRw0PPzPF9VsF0y1JqyGZaBia9QQRDonjgEC5v28taC3pDwP6g5TMCDp9Q6drWWyHnFuY4NY9XV50zTIf/XKN+qIikKkDpA3IdESSuh7PdVM1XrC7ywsu7/Lgy89wfF7yR3dMcWG5wamFmEhJmqEgymWYdIFnQeS5VMExeWYFqYHMCIYaBhkkxoLOIEuRasjm6T7X73Dn4+arNRP1gCxrstJ15JNlAUkakmlZAjwrQZ3f08zFT/1hl4UH75zNTPibV+y5cWk46H/mrxOTf20AP3jwEJs3bVR/9KGPXr5334GJTnuFZj0gyZwMCHJt7FPIqbYEWpBpS2QgzaCmLQ0lGGhJL3BAX0jq3PHwBN94ZkAzHvKP3rjCttmMHZv73Hpth0C4FjFEvvwprPENyLbC3FiEtCjhPHNLBjLj6aOSh/YF3P5Ai6dPtEiyBq1AMVe3zDQt0w3rfPCJgJnJgNkpwcaZjM1zfTbNLXHXU0N+7/b1bJoKmJuAiaZioiloNTLq8ZBvHFAMkoCwSVFAlmSSWqC48co+9z855Qqf+prldsjF5ZjzF6f5kTed59TFBe5/bI5QAiLFQAGgYSLp9gOmWzWmJpq86MoeL7++x3e/cp59Jw2fe6DGA/vqHDjSJBMBw6GilyqUyOt7qoGnzwlYQ2Ys1hhCoZmMEmqkvOimLrs2Ddi6LuWdrx9SjyStesgwabDScWydVRk7U6PMrfPYqHyex0tJJhh0Vnj04Xsnzp8/d/nr3vh2deToYX3Zrt1/cwC+b99eZmeno0ceefj7lTT/tdNeolEPybSTBEoYMpnrO0GmICgsPAi1IFOWSEOsoa4tTe3clkEYMtAhPV2n09H86kensVnKhrkB12wfMDuZ8fZX9dm+PiFNhdfbEirMjdefUhqEFHzizjpPHG4igoDjZxqcPt+gVldMxoKppmWiZpioQasumGwoJlqK6VbA7BSsm8rYMDtgy/o22i7ziXsm6HebXLHVMtFQtBqSVt3QqmWEYcIX768x7EnC9a5bNJcozbriDS/sc/ejhu5Q0u1r2r2A5U7AuYUGV+9q8faXtnnk6QbHF1soaYDU6+WQVDs3aZBIuoOAlW5Eq96gWR9y9dYBt+wZcPLCCsfOLhOEmsePBPzp1xsIpRy4x+cPWgMYrLVkiWbHhox3vKrPugnNnh2WDbOgs5Bh0iLLXDdQlutrXYI607IiSbzn7hnbPfcefMUUSLXk3PlFJmay//roo4/0dmzb8f79+/Yme666+m8GwE+dOsX8/PyVZ86c/q1HH31IhoF0OjfzyRolUZlFaUFgbAF07RMwOauHxkmX2DN9QwvnzxrBUEuGRpKYkNTAfHeCrz/hKg8//YAb2YA1/p5n8bxF5isShZBIpcjSAGkCwkDSimHXnKUZGhqxoRFDIxY065JWXTHRCJhsSaYnYHYyY256yOa5Dpolfv3Patz75Hp2z8J0w7N3Q9KqZzTqCc1Gn3q9QawkSnoNjpMDaRoy6Av6Q01nqMg7l1Y6iqVmxKnzk7zkmiH/7DvO82t/GnBiOUYIg7UpRlvSLCRJJYOhK2Nt9QOatYhGvUYjblCLU1r1hOdfkRCFKTdfkfHOV/cIVOaTQMbV21dFuZd0xkiEkMShAiIGw4CFxdwFyWMeB2ad5fGPC/Z1JsmMqEgSMQLsTAtvCuBNAeHzF5aHHnxQWit/a9Dv3zMcDp7668Dm/zbAv/C5z1CPg/rRY4ffdvDgQREGbnqUkM4WdFacq99W2vU3BtIxttbWRdS5Z53bVV4HZvl7xrrEhIHMup8lRpJZiTYBqYnR3vaq3oospYBACJepVFCrW2qBpaY0cQhxALXIUo8F9UjSqEsatcABvCmYahlmJjJmp4asn+myef0Cv3e74cN3bGDblGJdyzDRVLQaimYDGnVNq55ydsFw+GxMLXLHAPJKP8EgCdi10bBx3YD2IKI/sJ7FJcudgFa9RqsxxTtffYEjZ8/x+5/ZQiADLAZtNJmxzlFKFP3EFUX1apLGIKAeh9RjzUrHxRhRqAkDTRhqAukaJaTURdZYCF+34o6YB7lgxfgqS+PjGh/faONinTyoz7QkMy64zzzAdQHsEuR5cskBGw92iufGCp588gnR7fXftn37jsOf/vSn+n//77/1uQX49KSKOp0LP9NePv8z2KGMI+c/C18glWmB1AalbSFLtLYEeTbNWALtgxztyjxdOr20rnTFynLuiE/cWDBW+Mf8BJU3l8lzgVUgDYHE15BDqARhYJ1vHAhqsaQWSeqxol5TtOqSVsMy2dRMtTJmJoasm+6xfcMCDxwY8tE7NzNdi9nQMkw0hAN3XdKsGZq1jFZjyAP74fF9DS6fs173lmnz/lBx8x7LFdv7PPjUVFFf3e0HHuQhjVqdem2K73zZIo8fuMD9ezeCVRijXTlsZslSW9ST9IcBjYGlXlPUIkMchcSRJg6MS5gFrsRYKeO2YJGuNAJfJpHTQhmcO9CZ3JEyuf0qMd6pykuN3bl0j6ue5+RUrNo5wL01meHJDpbbPXni5Jl/j6hF9Ubjl4DkOQN4f9CTyXDwC1/5/Ef+dWf5bFSPA/8FXOo7E8J33wi0tGTSORjag1wrCEyebBAe1KIAuCnAnVtZFuMzcXmywlpbBEqM2WB5qjpP6CjpM5YKwqJoy2X/4khRixX1WNCoC1p1y0RDM9nMmGoNmZ3ss3luifv39/mFD2zgxKkpLltnmGrARF3RrCuaNWjWNPVaShQOWBlYlFSEyiJl+clyYKRZxEQ9pZcZenkP6kDT6UlW6opGJ6YWt9i5MeUXv3+F//BByTf3bsCiMNagtSHTGUlmSFLFIFH0Y0l9qKhFkjiyxJEiDgxh6Pz+QFkHcOUL2bxMEcKuatA1Po5xE8NyoOf5hTLP4BidIvegNWNgL0sDdE5kRX1QvmqbAhdHj52KVNj4qR/+gXeG/X7v5+v1xl85nf9XBniv18bo9Jeefvzefzl/4WStFkvHKh5ImfHA0gLtJYnSDsRGWwfm/NHfXUGQLUBdsLQBayy6OOB4linkdoV/8hQ8RbmtEvh6cmeX5bXkYSCJIzcAqBa7kQz12NKsGVoNzUQjZbKVMDPRZ/PcMvfv6/Ef3r+O/Sdm2DHjHJZWXdJsSMfedUujpmnUUlKd8KEvt5BKEUqLEqVNaGy+dIf8w9ct8aWHEzpJTM8DvNtXdLqKlTigFsXE4QR7tmX85x9Y4N+9X3DfUxswVqKNS6unmSs0GyaGYc2Vu8axoBYK4shlNqPAFhnbQBmkct64FNY1SuQAL1OeHuTeaTEl2E0BcIqpA1qLYoXN389y0Ou8/qV8zPLzn5cKmJL4jJUcPnKsdsdX7vpXb3z9q8XKSvtnJycn/u8CfOHCYay1Lzpz/OF6IIeoWDrm9len0i6Lpr3nrbRAK1F8EVN9LBjbv7YO0I6580fh6iiq4F7jc+UAz2swVFFPLnwdeV53IglD6eo3IkEtdjNPGrGmWXfgnmgmTE30mZta4YF9PX7hfTM8fXwdW6cFs82KNKkFNGuufqVey6jHCWE45PTCNKESKGm8LVcGmVq7xMemaZc8aac1+kPrmggGms5AUu8palFIFNYIg0mu2prxn//xPD/3h3D/M+vRRjqAa0uaac/khmFsqCWSQaQKCRaGEAb4Vj/prFvpS5IFCP9YxXiOc5vLFpOX3+bE48CcxxXFaluswuPALmuCtDYFwY0C3IE/7Q/52t0P1bdt3/EiKf/qO078lQB+6OnbUWLQOPDUFyPFIs26INUGlQnH3hKUysFeAj2vYtOqZOoc5AWQqzIkf16A2j4ruKFMSedVgq7NTfi0dVlP7uQJ1EKII0O9ZqnHTj836ikTjYSpZp910ys8fHDAv/uDaZ48PsfmKcVc0zBZF7RqkkZN0agL6jV3cbhUf8L9ewXdQURN4S8yp8HzJgRtBGkW0Kwpbr22wwNPT9BLnUzpDzW9vqITK+JIEYWR189TXL3N8Ms/dIGf/l24b+96UiNJjfHN0mUP5jCSxJFx7O1rU0J/cbs7XqaUMk76LO9aIKcS5+TnoAr0fKUdlZT5+c1jqHLVzgkuK4Bf1sLkpQKnzizx+x/88+h73vHGxv/8yO297/3uN/+fB/jSxeM0J7dPHX76Y78j6L0sClMEAUoLMuksoMDbgE57O7DnS5ipAt2ACRyrW8/iNmftCqDzKsBCa+OeVGUJwhUUCZn3cIoC3A7goHzFYBhAFOI6gSJfYBVr6l5etOpDJlt9plttHjs05N/9wTSPH1vPxqmAuYZhsg7NmqBZVzTqikbB3ppanNFqDLjr8YjllRrT02WaPAeL8fo01Yr1s4pXP6/LXQ8Z10WTmArIJbVQUgsDwiAiCOpIabh6m+VdP3SBn/5dy33715OagNRXALqyV8fkcSqL6sIokASBL8KSAhXkx4bi8+UXYS5VRF6VRpkQysklZ/ScfMwI4Kmsxj6W0pUVukJuI1LV6/G8nGOQaIJ2/2VP7z36h//iR7/jR2974bHlK67Y+X8W4CY5Rnfx9E+nvQPfZbNz1KIaUmhkJj2oIJOiCOx0rr1VvjT75SzID0S5pBVBjamA+1LM7ZGeZ+QK7S0pPkeuu/OKwUDh6jMCSxi6xuJaZKhFmnoto1FLadaGtBoDZiZXeOTAkJ/53XU8dmQD66dC1jc0kw3rwe3Zuyapx479a3FGI07IzJBOEiOUJMwZvNDgXrP6mow0DWlGA1cukNSYzkE+0PQix+BxJAmDgDDIN6C1XLfT8p4fPc9P/rbhvn0bSE3AUAsSbTyLC2qpIQ4tUeh6VwMfdwTKlQgrKf3x8V35+WOlMKu4MKuxjmUsFrLFOTPFayc1jR5dnUvzwBaSpZQq+DoY68s7BMdOLvDAE8e+67Nfe+xwMkx/7v8og3/1/sPcc3TXjutb/+X6ujxAqyEZJNofEOuagzMK1tTS2UVK2cJWyqWKsWA0PirPl+2SJXKwj9eTlFa3LVm7GlRW+jgD6SsGpWsCCJUDdhTYonqwFmqvm1PqtSHTEz0mmx3u35vxs7+3jkePbGBuMmCurpmsWVoe3PWasxNzcNdjTS3KmGgm7D1mufORJpGUhMr4IK5c9PPlO9WKzAS84vkpl1/W5fCJOnMN1ykzSFwPZG/gWThQBEFY5BSEsFy7A375hy/yc79ruOfpOQZpnaGWJJml4Wu44xAH8iBfvUzR2yqVLs6VkqICcFEBeWWZXAVyWwJ8BOw5OVXq8I0tZYspWX3EEtZlNWOiXXfR0Abc98w5wq/cd/0f/qfv3GHtU8eFuO6vH+DD7mmixszOhx65879fWFj41vX1ZeJwEmMyhzVKX1VKt4GSVsI7JzmDW28tecckKHXbOKirweQqBnHc4hl8DNzCIlVuC5YDgkLP3FHgOoTi0BBHGbUooxYnNGpDZiZ7LHV63P0U/PIfb+SJQ+tY58E9Vbe06oJmTRReuXNejGPvyAG8Hg9JtGbQr1FT7iKTQoxU8uWJFBdoBk7LB0OGvgWsBLghijRRGBCGkkAplAwLgCPghl2CX/7RJX71Ixn37ZvlzMoEg6ZkSltamaXmJw7EofXef+6k2IK9c6mSA7z4vP5Di+KYl8ff+pNSrqy2kCymCvxCtnhQV1h9NAi1hS+e+mTQMINEKy50+2TD+W995LEn9IYNL/1XBw6fPXbl7k1/vQBfWTyG6ly4ZUI887a+PowxMVIagsBgrS68VAdwi1KyCChLv1RUIu/8eX5gXAJnROutYu1RVZifBHdxVRuVPbiL4UDWd+EbP2ZCF+COIw/umS7zS33e9aEGn/nmHBe708xNSuZqHtw1p7sbPrCsx5JGbD2DO+1dixMg4WuPRSylEbMxI/XYiNEVSmvX/DARB7zqph7370/opDGTqWGYuGE90dDVqkeBA3igLEqGCOkSNFi4apvk1/55m8/d3+eX3reBUxen6U8FTEWCVmZoZBCnbvRypNxAozAPNKUoguD8sRqoVy9M1xheAfqIJq+AvcLoZhzklWC0muso69HLDGfqS3jrYcCX7zrJznVH3/aGl899qN3tHftrZfBk2CeMalecPX73v0jaT9KsxxgrEdISKO2/tfXDeRy4nCfus15jAC8jb1FJ2lQkCcJbUuMAtyWj+EfpO/Jl4ek6SeJsMAfsQDlwh4EmCjVRmFGLUuIopVXvEwQ97npc84efn+D2e9eTmAnWTwjW1ZwscRZg7pMrfxeeuavsnRIEQ77xzBS9JGBTw/qM4TiD53GHJM0UtVDxoqv7ZMYBvJ8KBrkbkriRa2GQW5zKA9EWg5EsgnVTgu96ZZdWfIb3fb7P3c/Mci6t06tJJjJLM7AO5IGPQ5T1cYn1IPfEIISPYyrtbqKMcSpnYkSyFACvElQO6MqKrM0Ym1fAnZdtZB7cqc9wB0Kgdcwdd+3llhuv+hd//023Pdrp9g+2mvX/fYA/8tQpwuSPscnM5qbc//JeeAqpIj9LpPwXhLBkwiKFJJMSZSxKiSJLmWttN9jHsXopRRzoKR6rkmQ0v+bAbUdkiRC28HOLuhc/+Spn7lC5Wow4TImilFqY0GgMiKIef3xHwLv/53oOz88QxjU2tgQzsWYitjRjaPoO+3rssp01nxBy9SvarwROnlxsa7pJRKQUkbRFgJl/DUtZXqB9rUaShdTDARun+iz3WvRT4ccyuFghDLW3+ZS3O5UD+Ejg6iofv/WlXW6+Zp5f/qMBH/7iHItZk14c0gwlE4GrwYkDiBRFM0SQJ308OclCqpQJIG/j58KwQHfB5GOMXpWYhWzJ7UNbGgy64qEXGU8DqW+6SA2kFoyUPH1qhY/c8fTLD14YbD55tn0w6x8lqO/63wN4lmmeOvuOnUeOPvx7S2ce5i0v7DBIWmRaIbRyLBKUIMukRRqL0QZtJUaZkrk90G3O3pUAsvo8r4cYv4kKgwuZS6Jcd7u0s2NwU2Fu7UGeEQVOksTRkDjsc+x8xu9/rsmn7pnlyPlpJhohMzWYjjWt2PrUew5u6cEti6RQzWvvOHIXzkRzyCe/EXDweJ2aHy9XtItRotxWVjCtJWkWcNUOePPNHf7wC7N0GwETfkRDnPi4QRmCwE3dddo5B3lYoVW3KmxfJ/nZ7+lx/a5T/O7tMxw5N8liVqcXBjSVoOGBHknrLhzvMqkKSeTBuhB+UxgvV9xXqDRuj4HcjslMs8ZjmaUWlcDTp/f9Y2ociycGhhb6WpAmmqa4k+96xc7f27rzZW/U/aW/UKo8K8C7vYxGXfFnX3h061e/8czuml7m219iyExWAg7lK9Ikxrgxa9pIjHKpZFNIlBzUwl/Jox037qCMAjtvWCjHKFM6NmOaPwe2c01y9taEQeY6d4KMOB4SBUM6OuG3Ph7xvs9t5PTCFEbVmZlUzESWycjQ8MzdKNL30tepeGnivfMC3JHLXg7ThIOnYrpJzHTsXZw86ZS7EpUVqqhJSQMmmgG7tiaoeEAnadGPBPXUjSaOvLwKvUQJctdDqEsEr4q5yR4/8q093vaKc7zvc21+/xOzXOw36Qc1aoGiEQjqyhJn1rG5rxkKZFnekK+Kq5i8ci7yC7Y4ZxVwrwZ6WRhXLcPQ1rfLeZmSdxUlFoZG0DegtQGr2TR5Dtt/bHdvcXJrY+ZFx6zNEOLSMH5WgPe755G2NXftTvXxY08/FL7lJZDpAIFFKY0L9CzaKKT3OKUxKF9SqfwBt1YWQC/1tilkSRXcq0t+8gup7KfMgS1EVXf7KjmlPYO7sRNRmFKLEqIwYWWQ8I0nJH98xwSfuGeWgW4RRRGzkWAqMjQjSyO2NKIS3LVYEseS2EsTlxjyzoQHeBS6zOfRs5a7H26QpCFx064KMPNbmeZ2pahJqgjDgFff3OGjX+my/1STfs3NexmGliiDMDWEia+tl8LLCFkO96EEkDaufLURB2yY6vOT39nj6u1DPnxHi4f2TjLfbzJQEWEYUAsEdQmx9DZqbq9K6/IJoqrHR4uyCrCPOVxFttO/WdXghhLYuWzV1oE882BPvCwZGkHqLwYAZMzvf3Eb7fbB8Ee///Uf3yzaz+v1OvN/ZQZfNxfLlfm9t+iVOydf94IBrVqdNB0ihSlKLI00SM/UyigfOOZbf4w+FiDOm4Er4K7OJBy55QEs7lEUKWVTsSWNtwO1A7jShRwJgpSVbsq9Twk+8IUJ7nhkksWVFrJeo1VXTIWWicjQCC2NyFKP8KztmLseS2qRohYJahG+Qs94cBvi0OlvFQw5cApOr9RcYsXr29HESUHgvg/Sl5waSZIEbJgQXLGtz5MnMnpp6MY0pBAl+Ole2kuUPFEDcqwzpwjgvQ2Zalcf/o5X93n9C5f46qMdPvjFCR7aO8FCp8GKjOhGAZESRFIQS9cQHkhLIKxncj+FQPiy33GAs/qUUWVwKFduvAbPnSQP4MwKMuuAnVSBbf3RshaUYrE7wafv0Qy4c/Jt38otz7vuii/wLMODnhXgun8yrke9356tP9LUYdd3g2hXmGPBSgdmKyRGSow1BWPrCnPnQZD1+tviXudF9s9WOFUwuMiBbcugUhqU705RUqOkJsrdDJky38m46+GAz9/b4jN3T3Kh3UTUaoStkIkAJkPXyVMP8bID6pHwd+lLTr3ujgRxzt45wIOMKMqoRQnWpnztkZjjZ+usmxGE0hTzzKUYu2wtRfmp9pKiPwzZsUHw6pt6fOqbCd00pJ8KaqElyhyLD1NbWaVU4Vcj5IhMcXdZNCq4rGlAPR7yjlf2ee3NC3z6ng6fu7fBXU+0uLDSoC8i+lFAECoCIQilIJSSUFgvtSwS4SWXHf1O40CvnM+ctQt5Qhlo5tIktU5vZ3kAWtowRSsd1oJQZBbO9uGLDxxvvu516W8fPHrqaqD/VwK4knejwjYb1x0mTWIy7URk6U87YDtGFr7Z1x1Y5Q+y9Qxe6G1E5SR48WHFCMCLV4U9VQG2ML552CA8wINAEwUptVrKYKjZfxqOnVF87MuTfOGhCS4sNSGsEUyENJSkFVpagaEeWuoh1EIH7lroZhK6MlNZuQv/c+tBbgqQR6FrTzt8xvDk0RjC0C/ztpKiH00L5sxWlJlqQabdOOfrdg25ZmuXfacb9GuCRiaIU8tQ4a0949k7d1NyC7LUKoXPnjcn+IlSaRYySELq9SHf94Yhb7l1mS893OVPvtLg2Jka+043SJZjsjhgEARIJV06H//38KXHuTwkD6DtKJtXJMsouEXB3poc5NXkUAXUVntg+1ZEjxPtZ7Ocnl/gs195lMmp5rNB+NIAP3D0iHjmRPdffP2uX1mnhzEvvCLj+XsyV4EWgM0kaZKPZ8gfBcZWu9plEfgUwEb4huDSMcmv9JIRcs2dHzx/lw7gUjjGjmM3STXTmnML8OWvBxw+VefOB+qcXqpz+EwT4hjVCKgFimZgaQbGuQihG5xfC924Ngfi/C79XXmA4zW3B3eoiUPH3u7CSjg6D3uPNQjlqD1YSBTKevAi6CrsU9fTmGUh1+zoc8X6Hk8dyehlIa1UMAwg8jMBVQXgUgqElCNMDqXmLet88vpz5XsnQ4ZhxEQ94R++bshLr29zeqnN1x6MOHIy5kuPNDizUEP3Q4wMSCMFUvlg2VkrhbNSfVyN8VKSjSeFyAGdR90VMI8APPcMQYQGGRheeNWQF17RZ8fGO9f9wPf+xL/4L//80HtaE5evJQIuDfD3fugeskx/1yc/q5rdwWZ2bepx3a4hL39+n2t2pWyesVy+MyFCYNLRJbEEvBxl6wLgFEBf81ZE7LYYSp/fldKEsSbVliMnBU8eUXz5gQZPHY145mid9jBmmMQQRqiJkFgJGgoagaFe8YHjIK/TyMtmXV147GVJFCmiSPoLwJbaO9Qusxg6nV+LUqxJOL8oGdrYTb+VlqBis43XdeTnVduy31F7P1wQMDeTINWAbhrSC4RzOtKyYCxQZiQDKUUFXnl8gyiIRudlAb6HMtSqGD/RG0ZsnE7YviHl+ZcN6Sd9/tHRFZ46FvHl+2s8ebTGkRMxaRZgY4WWCoREF19OUhWTq88la6SkTUVbV2SIqby2LtIMMOzelbBlRnPVroRXPH/Idbs0O9ZDqk834+TL32XT4D3/Swz+6T//EqcvtNUff/5p0U5adLKIx49EPHloyJfubzAZZmzfmnHdnoTXvXDIq25MwLpESr1hPUNLMBLtwZ8zuLuq8+ejqTFnBzqmDgPrdlaTljSx9AZuGTx2SvKRO2J6qeKxZ2ocOhlzsRsx1BEEEagQNaGIpKCuoKEsNYUbZ6Z84ZFyrB2FwiU9quAOJZGXJXEEcYR3TVzKPAwMUZj5jGhKvZZwYUnz5ftarHRipicFgTRFyUCOg/FbUW5aaHHJcKhYN6t4/a0DvvRQnxMrTfqhdDIlgDCzhGnuWXuPXWpnF1KddSKLv2FsUPkbDuiRVuhAkYXKzQ1MQ2elhinNKOWl12W86Oohb335gAMnJY/vDeknig9/ucHRcyEISa8foBNVtE3ZgDIbVD2vBcArtgqlxhaZRRiD9Sxeb2jC0CCwvOqmIa+7eci1exJ2bM2YDATrWqBNxGDgNvBdvHBSdO1L1eMPfzV73gte/ZcDuBSwdcPEb62LejdM1ix9IrR0FYHzvYB5rTm6qLnvScPHv6KZm86w1nDTlSnveM2g6MyYmzTceF1Ks+bStnj2Fmtd6YhiOM9KT/D4EyELbUm9Bg/sDfnsPTUGqWKQKs6eizAiILUhRoQQBIg4IJCSSAlq0lLzwI6VJVbW1YAH3vMNSuaO8r7MAtzK92iKgr2j0BBFeYGWLtg7ilKUSvj6o4pPfbOFigJnt43o70szeNEJo3PHQzEYhLzlxX0+8402H/7aJN2sRtPr8DDX4WmecbRFt5AQsgCY+1OyovUrADe+Cz5wTB4GiiwICDLtgK40SrlB+tO1jBfvybh1T4oVQ97+yh6D1I1z+/N7Yh7cG1GPBRfbisefimj3pFdJ44IlB3YJdmuhWTPceGPCuinthqRqyzte0+fGK1Kshblpw8yUJfD/ntEBg2EeS9RYatc5txTcMLVp+rcQ/MhfisH7vS61emPi4W9+eo8KE9XPvJyQgaMcISBwnd1DYzm/bDi/5LbMOHDC8tmvT7gqM22ZnNbcckNKq+76MNf2SnJ8+9MiBctdxUNPRrRXJDJQDI1kaAPHTCJwHRQyABkgpSSUwoFZWmJpiKQDQqTcoM98Rp8DeTkm2e3xI4vG4yq4HcP7stowZ3BduWfEQYq1CacvRiTDGvGkJPJpb+Wr8kaymHlHD2V6vQS5m8qVpCHTLcW2dQmRGNDPYvqZoB64IZh5DUme0FKyWt4qi7/l/kYeA5nKEHzjm00q4x8y7fMGym/ulZFmGpX6EdZKI2XG1nXGrxiGq7cPSGwPGVhWVgQPPRmw3JOoQrGMBtWjVOZKaps1eNENCZPTBpu5n9R9sqlwgrQkNT6PYl3AbIzLoMdRwkq3q04e7u75nnd8y0S3vdJuTozONVwFcJOep58F79k2/egrM3uEdn8dRsXuA8sArAScD47UlavSkFnLSr4MSUN7Gc5+3Y5+zWraq6od8/FTCKwQmHzLBXzNqZAglA+qJEq4FLMDtU87S/zGrblvXHkMfCe9wm+9RwFu19blhuvHkSAKKEpMHYN7Fg8Mkc+OhmFKHKecvGj4oy81IYgIpSgDzEKerFFbXfGI8yGhDmwKrR3I3/n6Pp++q88z51t0dUgjc5vSuipAW3biqDwnUAZ7xXEtlICsFHjld1PUwgSBItQuf+DqxZVPnLmkmasb989FHg9pAmEQ1rCuYfh7LzFu+JKXme5RVJ6zOuayArTEZMo7aQKTSYbjTlvhvuVAFwQqY3ZqwMXekD+998grX/iCU+9JUv1jfyGDd85/HCFktLi0l+XOEKNTkKFvlQlGq2ooNzsqtZUpzyIWnZdK2NXX8SjIS4BTLLcSId0sPYkr7QwFRNISCScFAonzahW+psI/zwuJAipzUHLWLrvqS4DLQrbEkS1a2qLIVAbnZISevaMgRcqE4+cE8+0aIgiIJSPyRIrRa7iSqR+poKzq40wrkixkdmLIjo199p0b0tcBAw2xFoTaEmZeh2d5Ot2UvZRCVa4mUZwaN2nXFgVvpTQyBNqglUQFrok5kMoXq2mkMn6lcPfcmnV/0/oJWQaZ5JOybCXbmduHdm3BUtQdlbEZlCUaeZw2khAs+gAMYZCyfkpz/sIh/tv7Px8Zs1ohrAL4H33xKErCNx6zfHP/DEbVwEfOI5U143RUPB/72Zq38YIGUaxqjoWEX+L95lACAmF90sEWNR758+K9MZDnIyIC5TaXCoJyHooDt3SPUQ70PPj04M67fwJTSJQwcPo0ilIyUj73jTrn5+uEk4qoWsNRdVAYU6QjlXZiLAhUDIZugu2bbuvyjScGtLMavSCgnhkSn06vFkTlBWdCGMrOoTzQLIvZnHXoZ6pYilr9wAgyJQi0LPYfDZQh80Avk2mmSLDJHOSydLpy1ytP6a8GuGU10sUq+JcAL7GSg7xIaElBkkbcsifhX779CCcu6pGapTUB/ief/BIzk7WX/Or777n5G08EJFiCKJcNvv5alh8g/+hVfP9lbtWT7mq6y0clQOFttvy1t93y5+4xL43Fg5xiFEIV2MUcFMXILm0jAM8Dzlx3B7kssV5vj9aSR2FKFCacWzE8cqgOQUTg5UlQKVDKv5cYQ7hbbsuqu7IuQxaeeJqG3HT5kNmpPitLDXqZoqEgzNx3UdqNwlNpFeCO2Yo/lSfYqtOqjC1LKHylZ2gEWkm0MmglyJT0VmRZvJaXQ+TAVsoWLF4MNq0k5EQV3COPVbCINTFTBfzowu+r34XF+OMkiHntjSEDO3VzEn3rS7796W+/94prX7s2wIfDlMVl+/fWNfSNU1FKRESiLaaYWrfa8nq2FDuX+FkOcFl5rRgFhhSjr3NgS0nhMefvBUWLWglsJZ0sUUX3SgnsvPnWsbfX3AGF3s4tQcfYJbjDojoxRZBy+z0x33iqhYwDIinc/O2igrBar16toy6PWzEarWBxF2hqo+gPQm69ts+bX9rh929vkeiYrpbUtGWYVS5qUZEpUhZbMpZ/6lJMDiaQxcClHNxaSZQyjtGl9KMlSnA7eeJ3wfMlE2Xx2+jzIp9RYe61WPbZsLOmsK3MUtRG0u0qUhnfOLmh+/esTe6t/n4B8H2HTjM91Xr9H/3Jl7/n4LEFAiWJjcuaGVs9SWXL2PgHyj/M+E4C5QcbZe78RLiU72j6tyyHLUevVRndbUFCweZB3kGv3PMRFvfdMKEaBbcbpzDG3L5nM/LtbWGQNxxklXtKQsqffG0CbWNUkb2sBphlX2PubIxo8JzF87rofN6fzoPNAEHIO17V40OfG7JsUvq6Rl8LwoyCxaW0yEwURWfOLhyvPZIVa1JUQC7Qge+AVx7kgUUZJ1e0cjMllZQe3LIoTZY6Z/PK1o/5KiKfhcXXQHEB2mcDu7DF8cs1vvWrnpQSaU4Tq/nv2XT5G+7sd058qd7aPgrwLE1JhsPLF5Z7u4+e7xKEMQK35FaZt+SE0Q+wVjIjn1qagzj/n6oALyRKBeCiwoIFg4sycSJFydj5zEHXpiYKLZ6PRhgZduOBHShROimFHeg67l1jsvXMXQaYQYW94zDhkUOSg2dqWBWipCSSxsuo6spTftlVtRojGrzawicKRyXNQnZvTrnmsi7fPFAnVRH9TFCTEGq3qYASeaOHQGZehyMRmDHyERUWFxVplDcg5O6Kq3fRygFdCetliqzo7/xvypFuKuELzEpwW/L5KqUuX+UiFr+ff85xg7H4/VXBq7vFsUYk85issztLs8t1pr+0isF3bDhNq1Xn2t1nCWpD2v0aE5ElzIFWANKOgLTadb3mhx9n78qVXK3RkBVA56DP5+ZVR0HkMkUJ4brnc7D7TpeCyWU5pq3c/tszd2X4j+u2pwB2ka0smFsTBS6x47qCUiwpf/q1BgsLdUQcON+9srKsqkGpHoyKRZj3o1bruAtv2ijSNGDdjOQ7Xt3hkUMTDHWNnoqoa6fF83JWJfHgztcK4z3x3OnytDSmx10TcH6BVUatGddyGPgVQhlbSSzJkrkrE2pl7sNXmlGq9fslkClATwUPlyLK6v8LJQar2r8Rp6z0ezz4ZIfpCysY3S3+/wLgH/jYB4gjyaP72yQmcodE5AkLO3rSxuVKtQi+AnAx9qHHQb36eVk/LStW2+jzchqTHGPv6gRZx+ISFYwCPAr8AKAw3zrQZzgDS1ik4o1/rkfugXKdO88ch4/f0WIoI5RUPns5eiGOZzAvpS0LFq+4KcYzeKYDYh3wHa8b8IEv9HjiSJ1UhfSkJNLGu0cCqW3lmFk/m72aWDP+b412UVWZXBsICgvRgVv7kgClbTGss2iEkCVz56yeN6BUGyOqIF8FcH/BFyCv4kqMg3703ymlkXNhWnXDsPMNHjtzDCWzUYAfOHyaKy7b3Hjzj/76rnsfPozWlqlapZVpJGCyq1l5nMnHLoBqw2rxu2OAHgnIRoJNP6ejosOr45BlhbELmVKZQ6hyBvdJnhFw5+n7MG9MNn678BzceU9n5u8pKkw4eDqgk0SgAi9P7Fh57OqLd8RFqehhO+6F+26cMvET0AwFe7YMeOJggjYxfRNR065mO/AaXAm3bblLLOWEYyjFoSnOSJHh9GmLoBhs6t5TBrR0gFd+dwppygkBagTcJeBLgFvvKpdsvorBR1rgRtl8hCRHOohGQa6kc6J6g5BGXOM7XjogajZ2hVv/U+Nf/+Of7tVbWx3ADx8/y8WF5de96KrNP/3k4wcJY+GaXOUog+fAW4uVq+w9ytylXqru8FVIE796Vpf0KqhHGDyXJrLK5H5MW14jrSqgLp77JI/Ce+EO3A7A5VCgsCpPquytfF9nlLDYMfw/f9ZioV9DxKGTJ9KOrCrl4Jxnd5SK8lHjx2RU3RSfus+ygIlGwI9/W4evPjLBwjAikQF9KYl8Wjsf+VDYhb6uxwHJ70YAWIwHt8Eix5wV4RncFrMcc7ArKTyDO7LT4wDPwS0tkrLrKo+9xBqszggWcscl95qqP6929dvy35P5nEPpG7cnaHcNkxuv/OnWxWfu1br76YLBH370Geq1mJPHjjMVJoRRXFxJq6TJOEifRZOLysVQlSeI0fdGmVuMSJT85zmQ8w6ZAthSIFU5fkxVQB1ISeAlSVAAPNfcpggqw8AU4A6DvP5ilL1DlRJFCR/7WsjTh+sgQ6SUxLL07MetzfwLXrKasMLmxU4VFZmSGek3UQ25bnePb31pmw98oYYJYvoyIpaiSPooKUhFPgJ5NZOLKpOP9MGWNTFGgbJuVTBWOHDnFqwBXbC3KOINUdHgRbA54qa4si9RBWwF7ONALvFiqa70owwOQtvibwvf0ZSkGUNxmt7wSYwelhJluhVSr4VMNhWN2IHAViLY6sESlwDwOIOvBeTy5/7fy8GcA73Qrt72yqVJwdogpCgG2q8NcFkCXFVqqANflxJSSJFQlW5JWBkOVGpux95h4KZWLa0Y/vzrLS6uxFDz7onI7cFLSxTEWP1kpSxnlW1X9LT6PXG0Is0CpicU3/LKHp/5xoCFbkyiAvpaentSePdGlHarzM9TqcOtLbt+TMHmZcd7kDsryj+X/rUff+3Y24Fby1yHi1IPe2u0qo+rury88MYlSgneQpOvdQEUASbFSlAlj+FQoOo1Il3HZO67Bg8+doD1czM77/jaA//swJFzxKGbt0H1Hx+5Ap9Ff68Ct1j1frkSiFWviwSJBEk5DLLK3PlI5Ors72qHixvuzii4850NcuZWFeZexeD5uIly5ESgXOby6DHBgeM1DDFCBkVzblk9ODoRaqTTRZRwy5m7ZHJRkSeicDKKdjMdgA24akfC7k0DFvbVsTpyLK6dTAlE6eKUAKoWeuV1QrL4DE4XiUrwCUaWs75HYhsPdCmdPq/mJvLzUkw8kOWFVp2CACXgKc5/DtLq9C9blByUbC4qF0kJ8IJZfco/HZxmorXnn23c9orH2ov7jgVaawaDwUatzevPnFtgeiIakRVVhl5LduQfrHpBiPHfG/u3xuVIFej56OORcb4Fi48Cu3hU+FHAVR+8evdbWqsquCsg9/vVh740NGdv5V8HQYpSKZ/7ZouDF+sQlfIkrFiX4zJufFzEWjLFrAo484zmqBZPkoDL1iW86dYeDz7TABOSaafFQ+2HfOpRqVSskkUVR24bSj9qTZTBZv48L1WVflWR+d0NUJXGFqDXsiIfjS1iJmHyc2sr59mOXGxV52x0tbMjmBJVbT4W0622nBXp8CJY/fosHW40Rh8L8qswCqARO50qKogszk8VpGuw9gjo1wgmS6kz7jCICrjLElNZAfv4bg2FDle5i1IZ5p6DWoLK92pX5f40I8AOygFBxYi3wHiQZ06eqJR6I+Gb+xWf/nqT/iCCRkAgBaEYlSbjAeao978GwBnT32OWYdUXT7OAyVbAW18x4Avf6PHA/gjbDOnrmFBQXGiqKgFEznI5uEuQj9R7YMoLTDk219Lp8RzgWpYBp3tti/NTPB+LnXKpmcu0gtWpfsYcvLZY6calyzjhrpIvlL+bpG5rxUxDlkkCq1NMlqKEplkTxOHY2bjUyzVO3ihTj9ZBr/a8y2CyCvR8ec+BrfzyV5Uo+d0B3Cd3ZCUgUowMlwyCcoRy4DdhCtQo0MOCrd1deeckihLSRPOF+xo8c6IBYYiQikiUFupInuASVYQjJ6jK2r67xVYymQ7kstDiuV2YJAFXb894w21dHj9WZ5hFaBnSN4pIj+csRAkOVoPcjnwOQOUXm8Eo4aciuKo9q0BWaliK2EeCtBZh8hkt7nnVUi6ly6gDtwoP40AvMCZGmHo8kzjOHZkOGQwtSaJJEk3wiU9+jiBQLC+3mWiEIMqDvtZt/I+XS0V1mRmXKWLNL5Qv4XIM4AVz+4baQuONSJOKVZgzdgHwCrjV6Hxwx9i2YOqgeCyfhz64DFRKHCU8dVzwpW806PUjaIZIkVcOUrEH18hiVuOQytHLa1EcwsTI6OFVCZ9KAVaShrRaCW948ZDP3DXg8SMxBBFDIxlo76gYtzdSmVEEoT3rCeHmNBRgH73gAkUpXaRj83xVyTW3lR7splyxpLROn1es3QLkpqrDxdrgHl/tRyTIaAwzOmCk8hWKgaYRB/Y9zvHjh7FGE3Q7i0ghSJOUWlx+oep87jVBfgmJUgA6/9m4HBkD+VqsXWrxqkQRRXpeijKbWWVtN90qB7xja1XMBx8Dt7+HlfpnZw9m7u67djKruf3eOnc/VYdaANI1NId5mrwKasbu1RdrnpTKnbyctWxG1jafa1ICfTgIefl1Pd70kh5PH6+RZSFWKPoiINQUn0noivYdubRWM3l1nINSpWVorPGvBdIIp8Orfn/O5lZ43Z2z9lgMNXLOK0FwFQ/j5DiGsVVsnb8oLE+/PWMqGC70EDIBLEGr4foalbIMEz/iWPMXs3hxRa3F2KXmHr8yq5H96AGoAlyU7JADXZXMXqbpK3dVgjvf1aG4B+UmqDmgwwqoc+fEOSbuUamUKEx57Jjk419rARHIECEUYZHcsUVx1aifny+r+TESYwCjrEmhytwVDW4FRrvWPTeFVhXpe2sD3vGqPl++b8BDh90kgdQoeloUdfNS4FP4olgvRkHiPou11smTEaCDYpTNpZSoip1ZgLzC5gUxeatPaltIthH2HnN4RjzyqpsyorurUms1e1vc50oyyKxrbwRLkGmL9PuqCHyQovIvzyVvq7V3KVdGl5mSzaV/s9DdiGLTqFK2VAA+ortLt2IE3CrfzSGvB/fVb8UA/BLcI6xdecwba3OpolRGGGakOuPOB+o8eagOYQjSBZeRsJXJsRUGzy/YNTT4OLRGuvwQFVeDUS3uW9mM8o6KDhgmIdfuHvDyWxyL97Vj8aGIGBgIdB7Q+ToVSj1e9kq6D1DdGmbEurSukat4bo2TKtbFRdY6IOcsLgrJQsHmUgh80tL75GuQXK6vq3p7zfhubXBXWTyvjlS+hRcg6PRcA7HOjP+hK7bEX8Fr8vfYkjHiVfo3qh9Q+he55i7GCecXQKHfKvKkAPlo/Um1qrAAds7aMp/8VNXfFXBXhuIX7knVDszliXJVgwfPCj74hRbDNIRG6OUJRWtaXsI7YoEVJ21Ms6w6KaNAr8qU6hReY9fS4gHNWPK9b+hx+91N9p92F582ip5WrspQi2KeIMIitB/LoUdXkrxItcrgynq5Yl2Aaa2zB/Pg3koHdGn8dC3rz5Gp6O8czDav8RcVPV6VKZ4cx1UAjID9kuCukAb+Qmo2LFFksMaifuM3fm1DGAS/cuTo8avy6LiIeiuORXmvLIGyzCDmE5bG33NOh6wEh5XnSlbGAcsyE1l1RRRUtwJUfmRCmGvtPKAM7Ihjkk+AqoI7VJYgzLOWZTFV2dCQ+scELRM+8NkGH/rSFMQxqBpKBTSUpa6sH0dB0eAcVlrjykxqNRElKSfDMhKg5t9VVjKi+UUrJL7xt+yFVNIirGHbxoTTFyUPPxmR+akDxjcd5+UDIzFQBUjebR5rmRGVqy4nuQq1r3ExjEsbQ6mJq/fqCOVytuZo53xRMlD998b+/2L88tg9ny2EcNWNuy6/ceOV19z2leDkyZNTg0HnjUpkhEE47sKMfP/xa6g4YONX3cgSVJUu49vUVS2kMqkzXipb+sx2RJ5IH1RKWUoSVdHeqtijxxZAD9VqSVJ9VColDFIOnJF89KsN3PwVx95Oe5fgLMqJ888HI9JkxBXIXxSyZAwcplobUs4VtH6oqc7ngmiFVl6L64DvfHWPT93ZYO+pEGSCFZKhDulRkQkChPZnUueJnxysFSa3q4NPZasypXIX+XPnjhgjisDTSjBj+Y21nldZurQQR1f/1SbGuKqootJ9/mGSsbTUe6Pl9FSQpQkYTRRKglAWV6td698a+4M5kAsA+yejDso4mEdBXa4Wo/bSeKODrFbsicqeMhVg58FlDnKVM3hFlij/XCmDCrw8CTKUzJz2VhlaZXz23iZ7D5baWwjpEipFB83aJ628mMdikzWWU/e8bECmwmyjCR/X+V4Ov3Ep/CQNuPryIW95SZfDH41JtAIRoEXAQAjvqvgKPLxEyYmpAvIqeztzQaCsszCxtviMObiVBStsmeL3csNagfFSpWoX5mCXAswaABfCTZtdBfxxgFP9weoDml+saQr9QUrUTwiiMPCDJhVKSYzfBeovsgiLUzcS8Va1VDXRMxpUSH8RFJG3HAXKKMDtmHOS92PagsVXAXvkdRlQ5lq72OJEGgI/VzwfnB+GKUfOKv7HJycYSAduRFDpmvcrSKWCblRXilWr4Fq30W0SSy/cjKTsqxrcz01RbqMBbQIyHRLrjB97W5c/u7PB4TMByBRkQGpC+kKgdMW+y4PN4gPakQ+UN46NdPxbgcId6+rYbuegGKfFfaGVY3brAG3KYrlxoK+d6Lm0IzeO6zXJoiJrklSQpIJUu23LkdL1LkrpvM58rO2lY0xRec4IqEsGq3relefy0kvWCGPn4BYlg7u6B3ynN37IZcniJdhNCW4P5ALUI363lyfSvQ6DhHZi+P3PTHD6QgzKyRMhZWkN5p9TVGKR8RNVyJTVY4XXBHoB+LzxYHSbRaczS/YumiGkQmcBW+aG/NC3dvjlD0aspG7UsRWSoVHONtS59WbBz3gv15XKSR53KqQted4K32AgsMJ6R8U669DLFSt8QZZ3cIywSM/qq8/3aPLvWRM9FQm85jHMAe71eJLle3NaAjeHzzXhQrmttpt9slrvVNlpzcRO8YFLUK+qJx/7squYe2SoTZk4yIFdlqe6Vqq86F8VwLYjgM7lSCFRlPa/m3nmdlnLIE75xO0xv/enEwxN6OSJUEghiQSrm4rXSMuXsqzy5iVOja2ohNIqrOrzcmeManazSOEbtxV4Lcj4kbd3OXA84n2fdVocFFpIBsb1bkqdr7DVAqz8ZNnK3yztSqfBrbcE/aOxPidR0eae3auAzo9RLl/ykutxbT5Cjmuw9wjeqqR6CZIwBpLUMkw1SWoI8gbcQAofAduRwT5rAnycvatac62lZ40lqQqQaolnUVM9orWrMsUWnd5SlvpbVmTJOLhLi7BqC2aVR5e1XFyCP/tqg6VhDm4H8FD68XD5CiLtGhdlWdu+KvNWOZxVh6F6cijcgKo8wc34NhZT7Fjn68Sl3xPJBGQ6YDLSvO01PT51b4OFjnJSxShSAnpFcO9lQ9G7XtHf43KlAnLpLUOsT8njLEgryxWnALTN5cgaliFrgx0hXBHvGkpgtQZfmy6qANfauj3vM0OQZpZUWzKTM6XAVr/4GidrHMyrs5Wj7sFaTF5+eVsCJT8YFQZXPkFQdHULO2aplaAuA80KuJXxEqTchS2o6nHP3mEj4/av13jgyTom197S91yKXJ6sHk60liOw6rtfksQ9exY+eAmY0ebgks1dCl+ibOmLZzokMBkvui7hzS/s8Uefi0AlICRWCBIT0BeinD+z1seprtjSDWIqAs88+ARfhOVQbKw/HtbJlrzENj+3NtfeNgf1GokwAQiLYVS2sOZjBfhj5CEqK6JSoph/E7R7hm7PMBxa4jgHXanQVts0ledVMK8F9DVej7Q0jTN5UbBkR+VJzuaqOr6gKlVMkb1UueauypN84yal/c+8NJHOPYnDlMMnJB+8vcW5TuRqh/3AUSUod2xYQ1aNSBNRau612HtN1vFPRr3j0RkmIxvoVurElcwf3fYnG5qa73tzl3ufjDl8XoJIAYVBMhRurx3pdn90LC7GZWgpkxyRO9CqqrctnQyxxUZk+fsluI0ckyc2rwfPWdtnWakmyCotdiOSd7Q2vIrLqmTOmV9KqEWCVl3SrEuCLHPd2Nr7pKu1UQnota6sEZlS+d3RIptxp2GUwWUV+EURfbWp1Zn3+ZgyVZElVRYv5+mZEb1ddUwClaGkJvC2YBSlDLXhdz42wd2P1F1vmwzIRzWHhfYuLcpyuV/t6xZ5gcrxyM9HFeurM5hllWHVUcm98LJGRfp53/kGuwqtDZkMUFnAy5+f8MPvaPMLvxMxzKTLQBlJJkL6uII1QX6Oq8VX+ecqX6uiw80W5bN4kBeltIX29qu/tG6ymigtwVUxmHQXmBFiNQlCJU7wz1eBfkybF+RiUaIc+BSFgiAfjiPVaGp8zZNWYavxPzRS63sJYI9m1mxFg69+Xt17vhwyQ8nioiJPfKZvFbilKeSI8skcWXmtZEYYZXztoZBP3d1gmIRQDwrtHQg3fzyo6O5nK4nNn1cBXWWgcfquOtHF3kUj4AarGGVvW25cJY1CWeMH9bgO/Hoj420v73PH3X2+/JAClQKuOCMjoDciDXIwr8HklAGvwvneqmB5z9geUEKU7G6tf13Yp06+lM6JuxiebbWn8v445tbE4Nh5sECWQZpB4HY0cBNWlRoLDJ6Nuf0fG2V7O/qeoBjFlttU40FlMRpiTJaIVeCuzv7LJ55W9Le0o7KkGOCui+fSM3fgwR2FKctdy+33Nth/tuakiXAlsQV7+zigqD3JP/+qANl/nxFAP4s+ycFtKRMqVYlCnmARqxI/Ltg0hWUohUJrjZQB6TDgyo0pb35plwf2RqwkPv1q3D5JqVAMKG3DYsTEGiDP5wVa8AVWvkbFM7f0CR8pcZsW2JKYnEx3teK2kBq2CEBHGtnlpcFdJc6Rx6pyoJS54LZCGaQwTHDbnwiBn+FXstOz+ZLlz0f749a+IteSJ7YECaOAHmVxU7J4BeSj0qSszygkiqwC3XrtXUnoSNcpb9D8z8/V+b1PtrAilyaOvZ329iPZBGOr2xryJNeEI4+XwHhFlpQMPuqFl3XhvidyHOA233jX7VWqjUIZQ6pDpDL8yFt7HDoT8nufCkgzD3Iva4ZCurmDlCBnzFnJJUhuIeKbHTBesoiyEcJ6hnfAdv2cuf42OdBHWBzfhOyPnS3BX8oRfzGMYWs8JixA7QNZaQVGmyJZFYQqH4Lj7muxdvkP2TV/tnqpsKOvc6DLktFLkFctt/Hgsjpvw1YYuxzpW51hPSpR8uyk095Slq6JkilhlHLonORTdzbpdkOouwSJ2w+ykpYfb0vLQc7osRp/DhVH4C9k8AroqWrxyt14JpfjTC5LkGuJlG6mYauZ8dZX9PjCPXUOnfUeq/NR0ELQH4kK8tKrtZlc+dVFWQ90v+hIUbETZW4NeolVANmdeyuEX/UchmwO5ApRlnX0443IYhWZQjUorWBSW7Q2DBNNkmQEtThiEAfEkYuvqqRTCv5L66Cq3l6lxYtJRGPgFyV4x4Fdgr863LEaXBqvv00l0CxlSQHuYtuNUn/n230HQcYwNdxxf5OvPlp3w8Er7C0FLrFTVE6WM0fW1N8VSUb1+V/yVrB5DvTxOyWDj3bfl6W00ki0UChtMEKRDQNec2PCa17U5+TnQ4bGF0k78UxGwFC43kthQfhd8HJpNJL8ES5dn79WuXsifE0KlNpblNlM56Tk77vgMz9mZhURigrQcwyNAr5UCpV+08pxzvGaZQYpA4IwIli/ceuy0cMvTLWCv59lxiV7bPV/uJTmHvujBVt7oLMa1AXoK1f2OLDLmeDl5NLVEsWMgr26j4zS5BvGlsGku0vlOnVklHHXQxHvfv8k2gQQqVJ7C1mMY6tag8VAHTHq21fZm7HnI2xxKWSzBnvnMoWSra20FZmCn4ttRpncSxVh3LCgKNL8zPe32X8q4K4HJSYSnsWdPkyN8pu8j3cclWB3Jx0w/rUHt8TrclFKFBdQUroosjxeOdDFWsCusrgH9gjGRjC4BnMXh9E37oiARrP5hZ07ty2rN758Qzcbnj8cKvvDSarJl9ZqsJlXz6mKDq3O6c4zjkVBVAHQqnat/k7egWP9TJOKtz3mdVc7dPJgMpC2wtgVBi8kScU5qSR03IzBlFOLgnd/cJJ7H236PssIlGtJC6SgLqEmXV9nKP3oiUqZ7Ggtd7Wjv1IPX522JWUxfatomBajx7I611BVXKOioGtc1knGGnzzoZflKDUsrJvNiAPLA09ELPfzaN+DHFlMER+tmxEV2IuKYqks4ZVsbPVa9XzrHivSq1ipyOUXxe+UNqkoa8FHfra6CCx3xEc7kixpZjBEHDt+4fvuf+ip/cEwcZ00SVbZyWFsTFuebRq3cnIvdZVur/zuaGKnmuAZ7YYpJMmIDh93UcwYi1e31hgHd/6eL4WVrtZbR5oPfmaCT3+tia3lzO3cEyHKoio5Vli1VlA5OudFFCBZdVvFNKurfHI3pTyJ1W77sqWt9MJtocnt+JgJoZDGIESA7Gve9so+zxwJec8fBCRxVgE4WEKSoodrNZOPB5tW+MSPsMWugCavRxEVbS69qrcloxduiXSYMcKl/XM7fm3GHpPCeUq/+H0x8vtSeDcwcBdmcHYhcFeCcVF0GPietpwVCoCX71X/aAHoyu85eWJXL0kjafkS9KVcuQTI/R40eXFVdVMk5fdsLHYDU7rc17HyGKgMqTRffTDm/Z9vMdBBaQuKAITbxDSvOakWVo18xuJAjoN9XKqNq5NLaZVSjowwVMUuLAquqgGnrIx6EwLpJYopHhVGGLQJiEPD97+py32PR3z50SY2B7gzrDFWMPSd8SJn2NymlNZPXnY6PCd0JbxbYkpb0HqJb8H3ZbrvU5Uuovoo/Aii6jHL8wiiirFxEq0QS+6e+NdhIJiaCqnXIrQxBL1BQfbEQXnyiq3wqmCtgn0sIMjH5VaDzuK5zCfVrtbiObCrW2Gs2j2gwuDlVnZ2VHPnLC4rlmCuvWWGClJ6Q8Ev/eEkR07H2FCBUKuylqEofe+8JFatBd6q/h5ZvMeinmcR5NaOL+3lkm6pFl/ZVYHnSPe9zQuyJEbkLC4RQiFMgEw0l23J+PkfWOG+n4rpDDyDmfKTGxTDAnWjWhxpi44jiixmngAq61BsXonq2dpWQGhH9PYlCKHK0MXvVABfrIZVHLngHwnCuoRlFLgKWW0kwcYNM0ihSIYdhr1Bpd563DGoMLdwZ2I8yVMV/uOyJJczhWShtP+qzokYAblZJU/y93N/W467JeNBpnS9lpmG3/xEi0f31UrPO7/7mpNQ2Eo7WmkPjgSVYvRgj97LoqIS19Ua67F66yqgq1ZhHrlRlSgV5yRnb+HZXLjn7mdVFvctbiJAGstNV6X8+Lev8N8/NkWi8w9dgl1LxVCDN7lHQV6AWBRbPRYJIOnnuQhblspaL0HyuhQ7TpSXmHg1gqFxnK1md5F/rvxnmSGKG7QmJ8myjOC1r3kdcb3J8SNP88j9XyAKQvKB6iMyI3dHKgAvJcrolZeDeFy+iPElv5jvvJYOL6VJVXcXckWZCrhLm1AWzF22oama5sv3x7zvT1us9EOXwRGXqjmpaO9VgdyY/l6F8XEZsoYutyMPq94bHQQ0ngAq0/Y2195Glg5LXlorFEZbjLA+GaTQmWGiZvjBt3d5+OmYO76poCHKohEpwFCAXChRWIfgfOzAy4XcVXHv50zu2DxfyXP2thWgV6WJtKWWNohVTF4FvKmohPELQAifQTWulHeQJVx3/fN4/k030G53CaIoIAoD4kgSx25/mvGKv7WWDiosnUucUQ9zLLDMP6DMAV7V4FWJYivMntedjDN5dffdSkCZp+V9YkfJDBlk7DsW8D8+PsGhhdDve++A7e5j7F2RJasCTC6tv6kc+PzsrKm6c1IcswYLV8KXrVZB7XR4KVfKTnI/rswKhN+q2/r5JYV1KFzQKaRFpobdMxk/9h0djp0LOHhaYAPP4jl7WYFGFkxujdPiYZ62l/494ShOCm8dCorxbeW8GOuDzpzBy/uIJi+CS7EmwPPXtnqMVykFkAaSxG10q1SAVIqg0DHSEgWaOFJjHuNaka1d9UFGs09VNs+Zf3R/laq1VTgqhcVlLsHkZiTRkweXstDaXm/n0iTOOLci+KU/mOBTX2tgw0pCp3BOREV7j2/ZUpnvh10F6PL5WB1zFehVKTNK2ONKpWTxKpMbisYCF/yJIsvp2sb8KORCuridzoxw23sIoRxLaktGQCgNb3tln5Wh5Kd/TXF+WUCceYT6DyEDMpSXHaJM1ZvcSSl1ufQBpPQBuBWlT269Q2JXkaW/jivEMaKtR/BX6e21jGCxSigCh58kywu+3NoZKKUIw/hcFIgvrZudfH0ybDtmy4929R9ZQ5rk7D2ybBQXxeq9WWQF5OVuBCWD55sLlay+eo90VQW7rEgTr7ulTAmClATDZ7/R5CsPNpzuVt4WFLJ4VB7cboi8vSRrFyzB2HsVpmENYD9rRnM8TT+WvRyvUTG+KcUalwovZYrT4Pn8QGHzMQ4SY5UrzJISaSU6C1CB5XUvHPCWl/T40OclSSbcXh85Qr1k0UYy9PUnULomOXsHhf711mH+syqjkyd5KoV2VCTMGmw9jrcCW2PAH18i9VAzOzODRXwpjqNzQkrUr/zqe/mB73nBchjYZSUH/2DYP0eg1Eizgao4Gkr6ko0iELOjyZ216kiK5oSqQ0K5sVHxPLf+8rqTPB1fqTvJQb5GOr5MxadoafjM3XX+0+9OcvRcXDYxyPJRSEEsoeYH2YeVzxmoMjE1um2hT+iIvLueciCSlJQbZVUGIuV3IVeNwxiZA1NJipUz0kdr5qv/T5U8qqUPIxdkZcXMg2BrLDMTGVdfnnHyvOLg8QBj/dU7slS71cIUQBpZsvN1vCIfRBHsFe95krS2uvqMXt8jFziVYT+UwXf+vBgCxOjgH22g08u4/PJdTE1N/ZtHnjh4/1vf/AoXN9SjDkqlJLUetTgj0wadRwiV5WNUY/r3GGWpqi4vPXO76mSsxeKlkzLqmDjWds9FYQdWNXhWBJZSZgSR5uS84n2fbLL/cAzNXG/nDK5WsXfueas1WXq8zLcSbOeJhmI1W83cIzCwFUCsIvNKLUhlPk1ZPkslwKzodHyNuHXsLauVh1IirHLVdiZAC4vbCcFw1e6U7/+2Dg8+FXHsQmXZ8oztAB8UTF5KFhd05h65Fb7j3uQy3mVjc4a2Zjx+EUX3j/szq+O7Kq5E8Z9RSVJlcGOgl8DFjuH8Sspg4PbKdJtQrb+WIKyjjWb+/HEynXvgowAe2ZyT8Q9S/ZBVS7GUJ+NB5QjDVAE9IldM5b1cb1fBrYv3pXRjjxfbkvd+aII7H635KsGgBLbMa06ca5KPQS6syQpjuhiCSj37qBwZWVoRoydk/CCtcSt094gAtyPuSVl85QNMfB32WPGVMW6rbSdXSh1ujEEIFzi6C1WhccdW9yyvvHHIP39nm//8h5Ms9XJmotTkVZB7fW1NDm4XKSr/niMIW3FUxqxDRoPNokGZUX+ccdyNHctxkAvP5mEYsOeK7dz2ohvodHslwOPGFlS8847z5+95d284+dNWD13nlpcK1SBg/JaL/5K1Rn9/xEkRtsKGFRYfSfS4gFKMuCemtAZF7pJU3BJRBpcDYfmdT7b4g0+06OjQ78mSl8IGBVqVGK0YLAJMyZgGLxdidxLEKrbJAx/vK/C/dBsvuMpdFMY0+VjKvuz8AWHcXEhjXHBl/FDM3E3JScYIi9tu22lznRlaYcYPv73D+UXJb3xokr6pwCcnNA9yg2RoHK6L+SjS7a+Z26s5e+dpezMG9FEmL//EqPYu0TwO7hGAV0qYlbBsnK0xaF989+tevOeOJw6erXz02i4++ke/0tt3ZHB0qdMgM8KPYTAjk6GKmX+5dlZlCavKQTiSZazq6tGflRp71M+Wsvq6YguqnKW1lzBj4JYaGxieORzxkTsatFM/GZOqPCmlSTTC3mWBUnXT23E5Mh5wVqTqSBBU2F3/a/iuknjFG6+WyDL2WG1OButrWIsKxKIxQpYZT+vS+NoojA3IMkUrsHz363pcffkQqTOwGox/tJkfGK/BGqyF1MLAQGIFqcHfBZnB3a0g86+1v2f5Ts42f13+LNfQ48+1ofh9bXD77mhItf87WpBpV10phWXjbEjMytGf+/fv6j3vys0lgwO8+KVvQgU1zhy9i6Xz97mWe+X3IK8w93gV1/iVVmp1OyJtVrkp0iKEqdiHpTQpdXj+ni4uIDnG3tLrbhVqnjgS8ePvnubJgzE2lFRT8eXdJSyKGSei9LzFJYDN2ONoHLI286z2CZ8F5JWWtfK98v0q8FcVX3n2dpLFT5zCbQ3odLcfeezT+cLLF2mU1+MGkVhuuDzlt356mR/+L4InD/ngZCQJZJ02IsAiyBCF/rbSFjGEwjktyksPhas3kf47CF83nre7Vdm7sAKfhQjGb9KvJlmmufzyK3nbW15OtzfgXf/p50YBPreuRRA0SJclpjMkDEOnb32p10jpon32Ezbqi1cBnwN7XIuPSRMPbFGxBJ8N3EGo6VjJb3+ywWNPx+hgnLW9RPHSJO/WCQqp5HtdKo8jZQZUAE+Vwavr6jicReVYXArZa4G91OSrPHFPNcW+OZWacZn3bgpR9jwa59y4zQ18GYGVLusnLPiCLGEsKjPcdM2Qf/LWLj/z30M6mYBw7HNWNLkDuXc9jBvTFuRBpa9PyUdH5F65qRSrFX2a/t8XPmH07IerXK0o/j/IjCVNIKXGxNQsqF7x/xQAVypEBfGhWr12eHIy3i1sF+ntBLfU5Y+iONhrXlZV1s4/1rgOXwvc0pTv58wtSslSypGKPJGaINT0jOB9n2ry8a80GarAg3mMuX3NRSDKEciF1qZSvZgHlxUgl4mF0Ta0kbqK6sVdBErPLlTsJZ6XJ9OOBKAF+KtMXvWeRxJAZXmt8DpcWos11jG3B732W30gLFGW8R2v6bH3eMD7Ptmim+JAbigPisEJZxlgkWR+VJsRfstBLAEle0tcN75zTUTR2WPGycJWaWH1capaiLooNvM4TDTTrUkazebhei06NBimqwFeb21n6dTHvtRo1j+sZps/b5PTaBuTaeH0mlZo47JjVQ24GuDVLOdqB6W4Uy3Oz52UMWALU0iVNcEdaDqJ4H23N/kvfzDJhcVqnUkF5HLUFhzpkqec9X0pzV19TfWksPr90WPxF6vwVbIkXy1zaTJSm+KlzMhJXw1qa6RjSzEqYXQecBrry1Qdi0vhOmE0lo2zGf/2B1bAwvs/26KT4jQcHtzSls89eRgECXmDdGXkRIW983ERxRx4/Kpuy8O0KgPs0Z174AbQxun+xLgS38zAsG/YtmOWeqv14fd/4p4v/eQPv3k1wMFtZICMPhc02t+6kvZunJrskQxq9IcxmQgR2s04yss0871RivPp/zPqmY+BO3dRvAYv2dyUbsoYwJXUFYlSyhMRWz79lQbv+v0Jzi0FHtzKOyWVRySyIk1GwF0sm6urJ0sLcFSbV79r/mJ1/YTgL4Z3BdhryRVKWVKMT1vDSalWGjpJVYJejLG4MbldaF0ttXWk5f4vSZZINk0b/u0PtlloSz58ewtqGYU5VMiU6k1ikaSUWVYtHLhUpVTW6XJXaJV/zmoKvuJCk5tz+fExOObODAy0oKshSTPUcMDMTEKa9R+L6/XPDbQZ+WQjAK/PfSf/8Vd+4F4peOjgyZkbb7hshX/4mj5xlAct+XQj6WoM8sHtVYBXTrjIT1HFIiySPBUGz0Gdp+ZzJhcVS1AKPcLeKrYcOhXwR7c3OTsfuh4zuYb2rtiCxQiIsfvISOc1AD3C0sXPxOh71SPwl0X2GoAeL59dJU3g0iD3ssYYXDBp/bRXbx/KAvTuZ7lMEShnIVoQBrIkY9Ncxjv/Xo/7Ho84fDqCSFdA7isKV3lAgsw6cOf3UAg3IMhfG27ccr6vj13dBLHWRW5LaZIaQd8IkixjIlrm+994gedfI8iseIjl3733J3/og5cGOMCh+VuRUnLfUwe4/c4LpIMz/NhbdemkCBC+1LFqlVYZzSV6qoUzFRlSAN54JjclwPNgstDkDuCiIk+U0KjIcPhMwL//rSm+9nANYu+WMJ6tdIGlFPguHVt26rC61rsIJscTPR7Qq0baVZj7L6w7+V8EuXsYnTA17qQY/JxA6+aCyAqbV1vcRBGAeha3LgAVyILJMaqQDWAxfcurXzDgF398hX/3W5McORNBVPmguRYX1h9nWxBKHoAa/5kDnF5WwieqcinoHZUc7HmQOX4ci7R9JcgOjeZH3rLAv/o2A2IL9alrwRp+eOx4rgL4T/3AmwgDlfxe0Of+R5fZs12QpCHaqFJz567IKlCPPi/1ty2XxTEtXk3qiAq4pQd1FdzSg/vYhYD/8NuTfPyOBonwm9OLKoOXEkXkgaUou+THWXyctcvvsRqAZRCZ/3954Ckq71V+P/93/Yu1iqpG0D0G5urPyvJZr9ErPZxUgZ1753kRVgXoDtgCK6Rne1GwvbHWs7uLt2qB5h2v66MN/LvfnOT4hah0Vp715tCh/RAg7YGmfOCpPHYkFHtqaivKxgdbytzRK9+drSaxmQAALFdJREFUu5qEvgp45liLpw/FNKdfwI27vi0xRgM/8+wAv3L7LFG99VNvesXl11y37fQrr9jcZqVr/JUkRr7CuM4eAfdIHUqVucfAPcLeoxp8FXMHhuPzAT/z3kk+8eUGifRbrYlLSxOZuyYFoEv2XqW3LxFkrpXcEWNItsXLCtCrv7NWAJUDl9F6k+oJHR+tXIJ7dVCad/cUDF/V4IVn7oHtpQqFVMkLXP0sWaHIMgjRfPcb+gQKfva9kxyfj9ZAzfhV6ocMCT8g1MsVv8a6Kbe2ci78Ycqb3oFKG3QZkOa/rwJoKMn+Q+v45F0tvuWNl3+9ObXtp1ZWBqs+zapwIW5M8NjDX23Pzdb379godZrWGAwjkjQg0wpjpAduDoyx4HCkniR3RSo13WI03V5q7pKly2xlCW4RaM4sKf7tb07yiTsaJEU53mgwWZUm1XqTYkLsOIhXPR+bCMDYvbJsrQo+C3vwf+9WJnlWXwh51X/VEy4ly+jY5aJBebzlzUo/WN85LqX9m2c9VTEeTmtJoC3f8do+/+mfrrBpNnNpRWt8drN6z/xdU8ye8xejsS7jmVh3T63LeKZWuCyopbjrymOxRaA/H6GCurJMRIZYCS6uBNoQ7f/s5+5oT03V/2KAF8dTL/14azJ7IjUJqZakaYDWciSnWZa+ejCq0tarPopcflRS8eV7mtI1cZWBVaAr4SbC6kDw+59u8PEveOYugC35CwNLcmmSOydViWJXgTi/gBFrAXi1DBlBobgUVf9lkD1mG1bAPhqAVnMRYpU+L3IV1XQ+4yAvWd5Y6TOdcgzkym9dKAi05R1v6POD39ol0Bq0vgTAK69NBezGxRLagzsZv5sc7A7cqXdMtM37MJy8CaUlDty8mqBmsfX4iQuL7R+/1CFdc7G56ebX8MGPfEAbc7WdP73CrVdBHGXEIiOwpnBDZIW9q3SzVgZzJNAs7qaivSvWYPGeAzeB4Ev31vjolxoMi2L0PIEzXgpbSpNy/MN40/BY+e4Yi6+SIpWs5KrkT/6d/X9zXf6/BPKK9q68XN30UIB7jfESlbHLouqwUNHflefFFoA+QBVGIpT1K7STlEb692WANZpIGL7r9T0e3BvwxW80XOWvrH4JNfbFZOVnRRGy0+eU+aNCj+fH0JaklIu2fOUNJNRCB/Jbn5fxljdut0HQ1q9+5bf/5QEOcPML3kiaDj76YGd+z8LyqebctCUOM/ISVicxSrBWb1Vws8o5qQLdszmj6fgc4CowiAD+/O4aP/XeSZ45Gjmve1UwWWFzH/SV7G3H2NteUmNX5claluHod6SQQfk1cMlSlL8EvtcCvLs7RzgPJPMfrGpOHglAq+C2hYuSdwCVnrlbAVw/J67JWFIEnNJPki062bBcf3nCf/tXK/ykgtvvbnhR7T+Xte7cFDfjQZ9/GQ9j645dQYuVzGb1+Enrmkcif+5CX8IdBzDbgrnJHd0XPe8VH603VkuT8Uts1e26/7e9746To7rz/L73qqpz9/SMRjMKM6OsUSQJE5ZojLGNWWMbg2+9DufDOO45rSN3u5z9MeF8Xsc1tu8c+Zy9PoxN8LIGjMlgEGCSQAiNctZoRhO7u8J798erV/VedbU0EgIBu+/z6ZnK3V39fb/6/vKibuGNrv3O0sXz9/lh9weVSSO7Asd93eP6I4qW6NYRncZodMawb2vgVvSESXDffF8OX/xeCG6bhWhTwLZg0hQpiimRyn7ssTSldFq1Kh2UTZKaNAPeNBEmXPXJiTAFcCelt4H1EOhmQSCTduhOEVP5jDl5UwGhxLqkKHGVLLkcRh6GSczCJVgyx8M1nxjFW0+flDyCa5xbRR5G2wItGjF8weTn6nNzHr8CLmlKgwOTnGCcEzS4tLOL0Moys2fRvtvvXfsdpzCrpeJzQH24t28hGvVRTA49jIwzjmzGQ9ZpwLb80D6tHpU0/JCmXUe561VEopLgTY4dIkBIDG7CBAgjuPn+HL78z2WsGXBkgUyapkyaElwpliY9SalyC2EAlyYsKZrxown4TZMhcd9I4n9LcIvW67prPlonMKSeYVbkMs4jMifyMOsmoiuIJwVM76YCOSC3AQChUopDSMktr8NkaKobYPlcD1d+fBRCAP96f156cGj4gRT3UB+QiOZZSwx+kz71w/Bcn8hQWy6k7T7DAjiZAhYvWoD2avmA9/iAAC+WZzTARz/SM3va9VkMFKrlGmynAUoC+L7svKtijAWXHb2SIwJ16LmU5p5Y6Yx4eKRYCoAR3PpgDl/6bhnPbkqAW7OSmNYTiTSGlPomSGTsAOkUJGWbXvtOwbYVcIm+kDCCTGXomABgSGXTq6l5MMP9ci5oCidInGLWZEYkBn1JpTCCADxsWsJCsHPtG7kBVsz1cM3fjYIL4N8eCGmCgdnk8wga4Gn8rZvs3QkrDReAT9AgDIOWg5oLvO64nolA0I/09XQ3DhvgtrWHd87oW10onDb66IN3FW56yIdlAaU8cOqxDfS0A55rww9scIhQG1dIiZ07yu0eu+tjJZLoHkwGcEpx25+z+Ny3y3huYytwh8olzAxcFW+iQG7au2PnQkvlEi2kdGISgCQkd6pOeZBYlNhw3hweG9q8Y5DHHk2dk0fHafVTDE8nCfm3pnQq7h0BndOwkKYyE0oOLjiFoDyiLkaQlQKty7Fsjoev/9dRCEFwx0NZBFLkJxGrSXFqfFOjxlsUj8ClBYa7oL6H3vY6Tj2uhnIeAGV4enMZF15w2uicOfNWr9+6n+MA48AAz0wHkBt8dot/0Z+efdPd3/4/T9jCsUCtOhb2jOIL7x7Gm0/ywag0J+leilRwp1hNIosJk+lPf3o0g898s4znNyuFUnFsrfRvUrkMwaT0HaP8A5otJEC62a8pUwdooiDxabFkjwwt2hNsykpmCPS0YCudnzZ5OKPIQi0hOYoVginhw9Alw8KiJS/zsMYD0QAtpTaBKpgvrSoIKY2MdwEA4QZY2ufhm58ewSd84O7VWQTQ4lYQAtgAfVjmSvDoPpoURgA8gENcnH/6CD53yRgWzKawmAMEdeyon+KR/NhFPTNKg8VS9oC394AJhITk8ejTW9DRvnx7/8ITNyxaMB35fAYNUsWjz3biql9UsGcktKKoJDwDCPEjKnbVtwA3I7jjkQz+7usVrNvkSJWZpoE6CXZ5g5rMgkgU8ImAHtOUmJeLJrBKvGqt64hm/tMlfFKplA8vbRY1H6M/uJP2JySluU5XtIx8nYs35W7qdz3p+FHURePiIgyB5k0Kp3qR6OmsbORqu+AEwgMW9Xr43t+P4JyT6mA8oXgqWzjCl9qetI/qj0cAMys+vvy+URzXbyHwqhjc146dw/3omXXqhqUL+7f7k+vRXnJwoHHQDFnGGB647/7NRcf90AVnLsTMvIfuPIGdzWLCdxAEsp10EDAE4Q0xGCsRptTW3PCEcDBHgFsEd67O4lPfqGDdVgfCoWjtxEnwcM0saCmzIJqldmpGTivriAZqHZ/GsTD3GZQkKfKnOMzsenNCGMfofDy5HwmzobYsz9c9nnquZ0gvI+ePvl8BnWl5ntIRJLcRwAUW9Xj41mdGcPaJddAgTNZUwOaBNI8oKwp4PCOjm0sQpxk6oJQiwyhqEwUMj5Wwa7AAj52IoVHrQ2vXPLqZ0AMSEAAHoSgAcPyy2RifmEAhn9+ZzVj3rVnz/Okbd0xgrG6jZzqFCAqoNRz4AdXiSIKonJcZexJokluAZQS2DFl46C8OrvhhCes2HwDckcyN4xxURXUWfhErWQICZpRgGtcmrfZpoE7auBVwk1TlcECdBHEaYHUw68ekmxDRBGwu4qhDM8yWhO3/whJrKnGCaMqm4t9RfiYFDTProWqHU4DyAMQX6O/z8J3PjuIffyjw8BMZbNlnAY6I74lQN0g96oQmUWj428nf2yNFbNpdQFuugMHhLMbdDsxuX3LfnIUn73QbdVjZ1vZvNdhBjwBw5ZVX4s1vfutQpVwea6/UL962fQBUOHjHaQJ907MIAjtSLgk1M3WMtDONmrCMwLodNq78YQnf/lURW/bYYaJwgo4g4dChcYaOrliq6rBRX0uj2lZsLtRbAsaJF5pdPNqOsBqVZj8PK1jJbWHXsPAYQuOyyTRaVnX1SJjJoh2jX7fFf6Lep+n4sKFqdP3wc2uTVf9eMX6E+aTSHFtIM5MSvcGtQLKttkFISUhJOTCtynHmiS66uwOsXW9haDj8MSJup78RjX5XSmT7mJIlUMkAWZsBPIc5XVm8sM2HU16F7u55f79r15b7u2f2TUlwHFzGh2PJojkoV9pXu3zfjXPW7LyQip2w0IGdgw20V2oo5uogGSkpmFA3Jubdys5NCAfLCqzfYeEr15Zwwx051AMKZBLgNiS1zr3j+LNIsYTmoUSCiiTvZ4rkNrLno58h5t/aP02hTLlJJK6LEtOb1taUJjNgys5YamvKZKiZKje2biqM10ks+YmysEhbeayIhlI9sqDw0OoSB3NFKXGRJFd2cRol9whI9gEKEB6A+gJd1QB/e34NGQf4H/9cwsAOAJnwy6jml6qmsuaOz1KBkiVQznJMKwJBvYKBrQFm93agOqPvxlJl4WqrPjxV2E4d4JX2Ttz+5y2bO7tO/WSl+BzrmzV+ARcBag0Gz2dhrmasJCHhjpeBUxzUERjYbuOKH5Rwwx/zqIPIhAXFv0gS2IkUNLRQLGHauoluQUEscdJc8U0gTvBvPR5FPzLJxZOHHQZTMUCtVnQrit4VWd+WZmkxO0PEtETqssrECM2SkwzOigEOZU/X7OUS6vHnVcVBOecQdYGMxXHROZOAELji2jI27IQWTx4gKkUbfg4C1eRLuuOzDiAEx/BEEQsKM2454dhjPgls2EJI/5Tv5SGVYXrjyb3wB/+y5W3nnfTMyiUzUcp5yNih6S8CR1yJKn6FUYEZjk17LPzjtSX85o486gjT25sAnJTaSQkOwyyo9680s+JFs0TXwZuIPVHgTqJWPzeaAKkIJjA2TwHhyaTjGDFm7ZnIewklzTV+rp8WAV1EHcugSexUl79KIE9aWzSFFBr4dVd+tA4aejpZHJ3oAznBcfEbarjiY6Pom+5J37sRThsrngKIPjPngOsLDI+6CEgn2jpf98zTTx4auIFDkOBq9M6egXJ11jV+bcO8scFdl9hsEBlHtsa2WCC7nCXqdVMWwBXA409lce0NBVz/xzxcQmWyAgiSwVImRdG4mvb4j60mWqoZhAlkNP+PcJtQDE2pbnZvMKRymrI5BSAf7BDR4n/yAKGvi9jGnTQXQklqAa1Za5hUoMBK4hbYiqrErn6ZjYMQ5BAUFLKPKhVUUh5OwxLJst+4EsZSCeWh74bDsQQuOacGBMD3byjgL89n0VDu/MjW7sMnFHVOUA8Iaj7AJjna29pQrs78df+Sldds2rztUOF6qIX0gK4Zs7Ft/W0j0zrnfLC9jd5fyvvIZRrIOC5s2wOzPK11nw9m+agJ4Ge3FnDh59rx6z8W4FJVqzvpsNFd782cWyEpVXrDzK3Ua5ygBT3RpTNStrWaEMT8M4VxaGTFlNa6LVzj1Snr0TFKwhtcO0wyVLb0KLDFLAuHhGRHdJ527Sg5Ii4Hp9vOIzOikGbEwKewAuCSN0zi5v81hPefP44CDWPKuQ9wD+AeBPcx6QuMehQjDYJJ34JPsvcvmt/7wV/+v1tH5s7pOWSAH7IEB4CFy9+Ekb2PTLa3XeCO7vgJHLIHlPGo4arFPPlyfEwEwM9vKeC//aiM/WNhj0KqgRgEpvROmAGj5RDcRMurhBlnEkldHawpiqUBBUOxTOA2KZ0T/Dp+JS7yooaUyAblIKFCGSmSJJoBpo08PNdQLvUDQmufCAtk6jEtKjBLS3kT4TFKikurIAnr/xBQ2fYBAioRRmqaAtJjSgkJe9ZTCCGf7NOKAa766CgYFfjFzUVMuEJLZhbgwsaYsDBRB6rtVVz6vgvcSU4m33PJ+Yd1Nw8L4ABQqi4EwB9h/PhTtm7ckuvpnIBjh+5XIrudDeymuOnePK76SRn7x2yTbyv6Ef0nzYDXgY9YsUyT3qmRgkkgatv0MFndemVYslKgR5pEubZPbZoKZ4nAa3JpXemLAd18GnRwKumrLCTRo1+nJXEFLDUZJHVJglynNCR+L6LCVFVoLgnDYkgYL06jZ0eUmR9SG+nkU5w9QHshwFcvG0XWFrjl7jzW7wXAOBD4gPBALGBJD8ObXn9W7Zjl8x5h9JCJRjQO+0xqVcGFfXmQe9u37lpzTF2ICewZ8eDCg13w8dBaGx+/qorLv9+GfRMOYKvOCqrLglazW6cpVJPYxgSIlcek9FYWkzQgG01qw4u0jENBzL+jY1uA3UB2Yj2R/zGl0ZJ7Q7eKIJoAprtf0Q7dXa8VZdKtIZF1RPdwxkpmvJ2YAE9sM6ve6qlvJM7n5Cz0eFoIOEPAbfiBA8+zUc0DV350FN/98jBOWjoJTHookDpmto2j6E/g8++dXv/Cfz79W4Usu7yro3S4MJ2ao6fV+MpXrxJzl592X2dbhu0ddk+58qc+27CHYeNOhm9cV8KfVucRwAZs2wR3Sv5kMx3Rt0vgKMWyud1fwoOpnDUK/LrzhsTOH724fbxMokJARvF7qjttYmeP6lhAov9Ec8AQbZu+3iKUQJvXVHuv5pADPZadJBxD6ryEwq2/JxLXibyJcbwOoAsHLZ5ITeJWczx65GimRC2hOYphEQSOLbCg18OC2T4ggPNOmsR73zKO9vaF7vL+pddk6a6vzu45zn8xGD1siqJGLjPkzpzRdvUNt6901++0vtI/bwO9588Z3PNYVvbFYTZAHRjZN6bfVrtTarsGcnVDdakNTWIfUHqnOH2M90vycpO/6xubt7X6hVPWpzpEfK7uBFK0I75rmg1b59kiPiJ2/MQXjIp5EvPagsT94pWtnIT8SPFwyUak9CahFFdBdiE70gK84jIiEX0KJxEhAoyEQG8Q2Bw4+/gGNu20sX4rw8r5nXzZ0u6vbB9v+6fB0SH3MO9kNA6f3ITjfe/6IHbvyddOXnncjdd8cpW47C0+Zk7zAcFCcGcApr2ok6ApCROhwcljpCg6otfypsQEelowlG7LBmBIMF0akZRjoF+raTKYYixJu1vbys2hW0yad+irpmXEOES3rGgUxbB5I2kFURMlcS4SFEenJbqNXK0j3gaNvihbeRAW2/cDG35gwfdtuL4Dz3fgBw583wJAsG0vw3d/Nx1/3vhWUS6feuP0fK52+l9d9mLh+eIlOACccmwPhsfmvtDfF3zs4Sffcu2tDz1EwZgEMsuAMCfqTIZQ6fGVkVYPjYuQYpJkJaVZtEcrGGMUyRQJkDZXL4X2OG6W6KZb3XD6aJIvzYaeth04ML5FYr9pOUkcECmfZoGg2FqiTtBuKTEnge66jzROXdQSpXzGklxJatl7MlY+oXF8RWGk9QTRsh6wxcMsfkBSo4AF4TU5bM/Dm092kSmfwgN7+cd6F/S/sPfJHUcCmi9eggNAd89K9C9e5yL/+h/f82TnZ49bPgvzZ9WBwAFjNgoWQcUSaLMEKpZAgQkZepI0W7QYyuqhmwP1fcayJvjTJG/SRZ+U/i0tJIpDaxuVUqoddYC7ZO5LTXAAYmsKTJqir0fHieZr6tLXmAQwJ5C+nqaUQreZR9eJnwpNn0c7NVZ6ZcnmIGDwfAuu56DhZlB3M3BdB67vgFKG5zYRDI8twJtWOZ99KrPqx/923zZ31bGLcSTGEZHgAEDYCRgb2xZ89tK3Dzz1TPvY5m23lgb2MpRsgrLNZWVjIhBwAjcASICoEqnplYAB9jRzn5Fqpo7RI+NgArjVHErj1UmKc1A63RLXUyTiafZqmOAkxAS9HlgVvZeSwPoFNP4e7QzNgMnzIqcP4v3xz6JJcshJrXg5lK0cACU8IuMxyCl8zuB6NnyfhYnDApZlgXMKz6nDFbMgiu8cm9Z71sCnu/YE83qXHBr4DjCOGMABoFjM4a6Hx2/pn3fmx889L/etTcN3t3vjo6hkKBwmv7IXCEx6BHVBQAL1awUJTcrUqoy47uQrRXlsxbGhHUdSUKwUraYJkZwEaRMldeUQR4Kz6AqhIXI1RVR36qgPIEKbd3xZieBYgmux4aF9O8q51Pbr1hX5eUh0JVMxj4s7yXvO5SQID+KcwvUs1F0JcgIB2+bwfQFmz0L/0jcNrWg7+VMW3XrLph2H7q080DiiACekAwCwa3D0uo9ccobVniXXXH/jXZ2T4yPIZyQHr3uAP0Hg1wkCjwPChaw/GslnpClwTc4cAiAyX2nHQuPagCGlIxdFkn4AsQOnSVkkxgTRz2ulZJKmhcMYSQsJTNt3zKG1/QbYdcohYrqdJP7RIaQJuIpHk+jBqklwmOG6cQ4ujzi57KdE4PvS9j0ynkWjYYFQgZzjolKpwKm+fm+27ewv8MC7jrAjJ7nVOKIAV6N7WhlDwyM/ffcFp9DBPbuvevDBhztLeQLHoqi5Ag3OwWp15Fgdbs2HHxBZ1Ida4c1n0S+q50/SULkkrV4J6ZoGuqaIwMRIPhmMfS2Uy7T3O9xhgDh8lyaJHJrvouMj6hErmkKjKJr1UGcq8bnRE0HzZCqerdMjTdEkkdOIxMXriWq77sNxAvAAGJv0IEAwNlnGrsEsag0Gi3FUihRdvcfubes++0uex3+ayVZf/M1LGS8JwAGgvVrBj35+04+nVYvBicf0fGNydHd7NmOBMY6TjxlBobQblj2B1c8y3PlIHht35RBY6k4pi4oh0xPA0+qTk/jYGBbpy0DzJNCvnX5Ccpm0vHbqKVOn4wYjadqYWI/dLyLenLC2RKeluf1bSPPIsK2vI7agSCOMSExGEVYN9mHZLjbsknm2q9fkELA8CpaNtozMiGIUWLqodwi0/PnN6+782cIVb5vaDTqMcQRkzoHH7357PRXCfzdv7PoBr28sVUoC06qT6O0aQqk4jv2TdTzxAvDFH7TjyQ0lCDsb2sstEELgUCBDzHxL6aqPu9yq2oN6iTZGRLwv+m+eQ6O0ttAraawDhMraeCp9jUTvRTTvqKxiSyiJU9xomKJG4xQ2fR9Rn0n7HMZy+NmZ7nlNLLOoJJ6WlkfVNhF+V9msV12PRtu0nqSqKW9UAlvvesfD75noiqd15aA0DrKzmYdMpoFnNnF84doqnnyhDXvHSijkLMzrADrLBDmb44SVc8aWL+75SCZj/8vbLnwnf/Eoaz1eMgmuRk8X4YS2/Zpz3x8fHf3Fzp0DmYydxzbShraahWplDGetGsHi3jqeWZ+HHymbqjODWTDTzNk/wEhQapKy3TDwpZgJk1Vim5XZhOZ6GKMpBiWpRKp9CarRZOM2+Hro6SSxp1JFIypbtymhTZN4y88Zmg85p6CEQ1BVboKDhvHnhHKs22LjntVtCHIVtFdtzMgLtOUFMnkXc/rm1Cvt0y/1RfaG4aH6Swpu4GUA+Kq/ugh79w0G+Xzuwa3bdo49+cLvYJHNGYsBju2Hr1qsEoVeTdVu2wklMyGho+cwMGUqmol9U7hQWpKDeTEyBdJykCEOfKpBQSKgN/Nz/eDYti3MCQK1TzTTkYPcSREKII4wuyFseMUJjcyFHAywHWSzFjoyAuVsgEpO4G1nza+3dXb+7UPrqzda42PBJy99z+Hdq0MYLznAAaBQ7kDOws5i+7wVyxbOPB0efjY8timfcWwUchaE0DJ7qA1KKbIUyIbZ8XpuZXib9V9qyhw3yYvTqLVhetTfkyRwnTJhkk+AqQ7DoQgYimPSoykSL/0aRhw3NKnbxNundqMMi0o0EUjsKArCrB8wEAIE3IcQYdgsoXAYQcH2UcxwLJzfN2lluj9w0dtP+e2Kx/4i+le99OAGjpAn82AjbxMQQoKhgV/veur54euzxdmXZot9Iw3PChuQcgjKAJYFYxYKDChQgSwDHCpkKTbEtVH1H0pAa+PR6sdSoi9pCdRt5Al7eRNQo0gCYmw+KJAPJJVFq3XzpDguRNtnoDtlVmkcxqBBhsdIuw/RJUST/Tv+fKb7PeAUvi+9lPLlwPcdgAtQBKCCI2MTLF3UO7Jo/qxLRwe3Xf+dH6wW/asungJqjsx4WSS4Gitf959w752/xPRpxV/VS4vtnDP9n8r2XR0btu3GwI4iiJNDySYoWlwWOyexZOIi7nirhmq8K51ticd14pGfBHb0L+WHTLeTw9yIdGF9JLV2JcmV9S/V3KfzcWFuU4dGp7TwmjZ/V7MjXvJDBSBx7x9IpdjnssKVRTn6uicwq3sEgs7A+ecu29fTlfuMAPsVMBsfvexvjuAdOvh4WQEOAGecI7+g7w79AsS2xLh99fduublz7YYiKnmKqsPhsBjcgVAdblVNPZkupX6wyE8ntB/5QChLefxGScZJYCeuk7Sz6zooSZtBOAzAp1ET7X9cKjlmDMapKXTEoDutbwmQAHbcIU9dO6xnGDawClQjq9A+7lmyf/2CWXV87O0WGtlT93744td/se76v5jVVTl80LyI8bIDPHpjpx37R0Z/QtkFJNtRvmr2rPs76eQoSjkKRmWTJC+QLzeQaVGqql2g0REW3n7ZTNS0/QJplo9mipLqkUx1TerXaEZL2qlThbjQpbLalnjFByMS68nYcLmbxDM+qoNivplITAwlKCKHjeaVJKHlRT5B5cV4RE8YvEAqmJRwTNQIOjv68In3nrPXLp/xJcD7CbXajgRkDmscNYADQFuljN3D9R+/96/P9me35b95xx/vrQ4O7gOEgM+BiQYgXAKfq0elrPTvCdl2job2cQECquUnpkkrQ6lMoShpMeCxoklSFVnzeq20zoMMHZi6spl0rWv0Is18mCzkE7vrYyIe0xh1YYOGQ2/YG5fbk+uCU4DTCOScE/gBRa1hoVa34fryHpXKMzG7/dRhq3Ti5wihPyfs8NPNjsQ4qgAHgK5qFtx3r/vrc08YGhvaOV+Ief/z4YdX25MNAdcnUR1qGv64riCYCKQUpwRwKEGOCjBhtjsC0Iw5bb1VcoTcl06yk+Gy0I8NNyYnycGGONhOoqR7QlJrQCY6dYEG5CQn1/5HgG/67qEziHKwqMO0rN0ufAsIpTUJnU6ezzC438LoBLBsxQleLmt9vtx5yoAvcv+aYUcdXkcf4ABALYevXbvulne9483OwMDAZCHnfH/LhsfJmLuP3v6YA991YDOBGoCJuoDveeA2EFCZ1EoBWES25EiONB7dfBBSwNzCAZSyLY2vHwzdhjk7YepMglVhMuqNoGXEK5piyOIwSjBCcZrhBdDQHp8qgas8lD4sS75sBtQbGQx5spKwZQl4jRrufwawaRtfdfxKMa17/ifmzlvws6F9u92e3gUvHWAOYbwsZsKpjP7+Rdi7d9Dt6uq6rrNr7tILz5v3D8uWTAOHh4zF0ZYXKGQFLj57Fz5w3lZ0ZIaARg0BD8LuW83S0LBhp9m0Ff1AAuMt6EjSzt2kU7ZwJqWOFqI7rhHebAYRyfNEfLxRE1x/C5GQ6ojTyuR5JIFxSUkY5bAsH4VcDTV3Ev/3To7f3scxUWMYnZBRgXXXhcs6MYr5/7Bwbu/S9mrndXt2vXLADbxCJLgaS5YsBoDa/i2/XFfpmXP1Xc/lnFOP2Xf57m3bGLiL4xZZeP8FDD3dNSztq+Gr1wmMuBYCSo3+SLGyFCtNuiNHP65JMif4ueGuT1KYxGhlG5+KI8qI/U7uS3ulmA0Nnq2KdJIYxHoqGtR/9QQwbOIClAbIOC4mGi6u/lUZv/xDN2Z12HjfuQ5mTmMo5AuYNXthcMFZ7V879cxzr7ayq4MrP3fyywWVKY8XVTbipRpXf/MGlGe9XXz60r+5+/ZbfpUJQF43MjJize4QqBYpplU4+udMYMMWgWcHCqAZB5mwArMd1vO0wt5VLFEygmjrRAuyiut+x7W/Vd1vPUgqLgehrpMoGRGm4kV1vY395rlAYiICAEkvKaEru4YOQVKWVdmIaDktAwpQNcEpIGu6UxmIxRiHbfkoF2u49RGK7/y6Gx6voK+dolrMoW92GXMWntiYs/idX1+0+LT/PrDmePGuCy852rBJHa8oCa6Pz152EWqTY3hum3f5ueecRfsX9J2y5vE7qJ1hp/jBLst2BCwadg2FLM4eF7HXir8TYYIJmkDWpCbR/6SACBAROONDiXluC6X2QCPSGzVprNu69VARfZteWi3OzJE7o1rgGqdJcwBJawjAiepfr/plhl+HCngBgecSBL6Hzo6q31YtP3TCKefxnr6ehwipXb5/ZAJtlcLRhkvL8YoFOADk8pGJ6UsDa36HrjNXlGwy/CNLuBc/8cIY3TUsABq2MAmltXqp4kDJbsbGSEjPJsmoS0yNpxiufciDiX7RwxjiIPsix5YBUE0Z1SMKk86uJt5OooL1ggOAbD/DAtkMTGbBEwQB0FGq47QVLsbJMn78CfN+09NZuOwP92wd+/AHjnvZcPBixisa4PqYv+ztEO7aMdj9H9+xo9+t2ye9r6fvAWTW7gULCsgywKYCFhWwKGAzEbX1ABKwS4jYSHATYlKCRImWg0E3zeQoF5vPNKpkALHJD/G6Mg2aaWSaYok4lAFKqkfF8UN+nfSGapMgCMKemUKaBgMqZAZ8wJHlwNB+H93Tl+MT7++6EfkznmGZRd8WfHzsjBP6jjYcpjxeNQAHAOL0w+NiaPqMOV98x8wlj1TaymcXS5vfec+DGzA5PgICCotSOJYw3P3Jwjbqx9ZLsDRzWWICtMk0Hm9omjzEmDqJpfj91WKEwRRnDtGOj+JJws8YFc7k0stIqFaMU4FbA7bO/eMuavE2xgT8QCCoAbbdidK0U5HNrrxx9/AZn8pZQ5tPP67jaEPgkMfhPU9fAWPN+j1wHGvBk89tWsnd2icff2LtGXc8uA7e5Ai62hgyjvzxXR/w/LgLtcrwsRhgUQLGdGoTZvUwvX4g0RSxWGmLFDgaZ/BE64TEzal0qhMqnepzRNsI4nqINN7HaKJJVlRHURjnUiJk9lGYmSO/E4fFZEaPxQQsxqOMH0AC3PMoXE/SkawToFIcQ6WShZU/Du3TF9+bL1rfzpUXPAV46wk5stnuL9d4VUlwfSxbMB0A1gsh1gN4hnBvxvIVS3649tnnFqx//mmWsQLU6oDnCwQcCFS9PaoZ/w3JpkCdUhxTHZs6NElv2Ne1N9G4S7LOScQekopl2lslwl+BsLN2FKogY3jUstD4jPI8MibbzQScwAXD6ATD2CRFtWyjd96KYHbPvPUj4/TD7TPP3CkE1rUyib5axqsW4GqEP8C6jduH1vlBcF531Zn1rvNP/M1jjz1Qvn/1psL2faNo+BQelxI7a0vFEzTGXSwJdUmasJgc9HPEFzNozgHAagRWadaSg2X3qEMMi4sKOiNSgaQ07mcP8ND9LpCxfDCLww8YOAecTB4O7Z1Yddrpo6V846JC28ztxXa6mb7Kga3Ga+NbhEPI3ueUexOVx57ecPLouP+/H3vyef8PD6xrH9g+XCpZAQp2gIwtkHcobJvAZoDFiKQojMBiMVUxr63RDRrTF3VslFisEo41gKc5iJKcvykBOaJNIkFPgKRzJpLOFCYtsQRsxuHYHBnbQ9bxUcj5KBUbIFb3WGCfMNQ2bZE1UWcfKlQW/Xlae2FECHBFo14L4xXjqj8SgxAKQghfu2l0uFLtvq1SLi36l5//Zv5XvvCer11w3uvW9M7ueqKtrVIvFQoQYc/0OIJO8XMCxkgIdglgBUzVNdjIHjKcMVpcue4MIjG4o2I5IuxsDcRZSdCsIjoPIfEkkBWk5DEBB/wwpNgPCAIeZzdxDgRBqDQGAraTRzZfqudKXU+0d//Vmp7+//K1Rx/8/fx8obSor7f7tvbi0DAh5DUF7vDWvbbHw09vguNY5Oe/fQAzSjbrqBa+H7i1RRs2bjxt967dLPAb8Dwfnu8hn7WRzTDYlgS2QAwS35dt+ZQ0VeBnjIAyEpaS0KW4qVQCCryx40VJdV06K6VXLVsslMwWwtIOErx+QOD50tQnIM9xbAHbCpCxfFi2BcBCqWCj2jE96J7Rc3+xYK/j/ujH8rmRoNz5RgjhCSt3ZIpcvlLHax7gybFv335ks5nqrj2DV970+zuc7du2BoJkjgfECbXxIXjuJHJZCxnHBucCni9QdwXqjQBB2OjUtihsK5TwCuiUgFIaWj60Wiqaciklq4ikLKCsJXGLcMOqwySoZQUCAceSFhI/AGoNiok6getyBAFASIBcRqCtkkfPzAooJY8Nj3iP9/TMZkuOOdstFDu+7HvucL5wdDJrjtb4dwfw5Lj+prsA4AwivDcSXruoVq8tZnCxc/sG7B/1EQQ17B6sYfMuH8xiKOUtFLIUGZvCshR3l1lIsSRHCHzFmSV1CDjg+wI+F5EkVwWCLNYMcovJZZsJZDMChWyAfMZFwANs2G5jaMxBIZ9F3SVY0r8AHdU88vns89M7sr8p5tntQoh7exa8/mjf4qM6/t0DXI3h4WEAOM/1vPmNyf387jtv4oK1z+1fUPjic+tewD1PFbBl624wfxhdVYZchsG2LVnZihLYNgNj8nYyRmFbgBMGfAES4K4H1F0O1+NxMXgKWIzBtmWAlBCKbsjwA1me2EfeEeieVsfcngzypW7cvhooFOfBwdjVG7fs2Xjxu95JZ3S1U8rYAIDbKpXq0b6lr4jxqjcTHqlRrVYB4Da1Xp/YC0JzbcRf/5BtT2DzWNU78dgln67kxLmlAgEBxxNPPIH9+8dACEG5ZIExgtGxBhoNFxYhsDNSIgdcNlwKAmBi0sdkLYBlSXMeIUAhZ0mQZ2z43AIhQDEvg6acTBFLlx0Dx6GolgJUy+4djIx8s1Ql9ry5S3HM4p57xycb+3t7ph/tW/iKHP8hwac4Xti4EwDmMgRdtg0e+D5uuvlm7NixBwBBR9WGCDyvZ+7yKxr1ybfazPfay1KZrDUIKkWOyRqwYTtHrRGgXGCoudKMUi5aqJQcu61S/P3d9z1+RSGfsTvbCAIhkC9Mwxve+FY4to1shtOMg90ANmYLs4/2LXlVjP8A+BEc9973IAB0DQ8NVijxxLSKAAcwUaPoKAeYrAMD24BaI0C1zDBZ5xBCoFy00FbOkJkzpo8IYPfyFScd7a/ymhn/H2RQzA1TrAqkAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE4OjI0OjI0KzAwOjAwYwEtVwAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxODoyNDoyNCswMDowMBJclesAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 220955000
{'hecke_orbit_code': 49541245202073502, 'n': 1, 'trace_an': 8}
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id: 220955001
{'hecke_orbit_code': 49541245202073502, 'n': 2, 'trace_an': 4}
-
id: 220955002
{'hecke_orbit_code': 49541245202073502, 'n': 3, 'trace_an': 0}
-
id: 220955003
{'hecke_orbit_code': 49541245202073502, 'n': 4, 'trace_an': -4}
-
id: 220955004
{'hecke_orbit_code': 49541245202073502, 'n': 5, 'trace_an': 0}
-
id: 220955005
{'hecke_orbit_code': 49541245202073502, 'n': 6, 'trace_an': 0}
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id: 220955006
{'hecke_orbit_code': 49541245202073502, 'n': 7, 'trace_an': 4}
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id: 220955007
{'hecke_orbit_code': 49541245202073502, 'n': 8, 'trace_an': -8}
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id: 220955008
{'hecke_orbit_code': 49541245202073502, 'n': 9, 'trace_an': 4}
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id: 220955009
{'hecke_orbit_code': 49541245202073502, 'n': 10, 'trace_an': 0}
-
id: 220955010
{'hecke_orbit_code': 49541245202073502, 'n': 11, 'trace_an': -12}
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id: 220955011
{'hecke_orbit_code': 49541245202073502, 'n': 12, 'trace_an': 0}
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id: 220955012
{'hecke_orbit_code': 49541245202073502, 'n': 13, 'trace_an': 0}
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id: 220955013
{'hecke_orbit_code': 49541245202073502, 'n': 14, 'trace_an': 8}
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id: 220955014
{'hecke_orbit_code': 49541245202073502, 'n': 15, 'trace_an': 0}
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id: 220955015
{'hecke_orbit_code': 49541245202073502, 'n': 16, 'trace_an': -4}
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id: 220955016
{'hecke_orbit_code': 49541245202073502, 'n': 17, 'trace_an': 0}
-
id: 220955017
{'hecke_orbit_code': 49541245202073502, 'n': 18, 'trace_an': 8}
-
id: 220955018
{'hecke_orbit_code': 49541245202073502, 'n': 19, 'trace_an': -12}
-
id: 220955019
{'hecke_orbit_code': 49541245202073502, 'n': 20, 'trace_an': 0}
-
id: 220955020
{'hecke_orbit_code': 49541245202073502, 'n': 21, 'trace_an': 0}
-
id: 220955021
{'hecke_orbit_code': 49541245202073502, 'n': 22, 'trace_an': -12}
-
id: 220955022
{'hecke_orbit_code': 49541245202073502, 'n': 23, 'trace_an': 12}
-
id: 220955023
{'hecke_orbit_code': 49541245202073502, 'n': 24, 'trace_an': 0}
-
id: 220955024
{'hecke_orbit_code': 49541245202073502, 'n': 25, 'trace_an': 0}
-
id: 220955025
{'hecke_orbit_code': 49541245202073502, 'n': 26, 'trace_an': 0}
-
id: 220955026
{'hecke_orbit_code': 49541245202073502, 'n': 27, 'trace_an': 0}
-
id: 220955027
{'hecke_orbit_code': 49541245202073502, 'n': 28, 'trace_an': 4}
-
id: 220955028
{'hecke_orbit_code': 49541245202073502, 'n': 29, 'trace_an': -4}
-
id: 220955029
{'hecke_orbit_code': 49541245202073502, 'n': 30, 'trace_an': 0}
-
id: 220955030
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