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{'Nk2': 4056, 'analytic_conductor': 8.096830764957831, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [13, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1014, 1, [677, 847], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 49, 'field_disc_factorization': [[7, 2]], 'field_poly': [1, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 14, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-1, -4, -3, 1]], [7, [1, -4, 3, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562001398, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1014.2.a.m', 'level': 1014, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '1014.2.a.m', 'nf_label': '3.3.49.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}+(1+\\beta _{1}+\\beta _{2})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1014.2.a', 'trace_display': [-3, 3, 3, -3], 'trace_hash': 1555314669962215741, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.041', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.951', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.011', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.942', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0], [-1, 0, 0], [1, 0, 0], [1, 0, 0], [1, 1, 1], [-1, 0, 0], [0, -1, 2], [-1, 0, 0], [1, 0, 0], [-1, -1, -1], [0, -2, -1], [1, 0, 0], [0, 0, 0], [0, 1, -2], [1, 1, 1], [1, 0, 0], [6, -2, 4], [-1, 0, 0], [-4, 4, -4], [1, 1, 1], [0, -1, 2], [0, 2, 1], [4, 2, -2], [-1, 0, 0], [1, 3, 4], [0, 0, 0], [1, 0, 0], [0, -1, 2], [4, -2, -3], [-1, -1, -1], [0, 4, -5], [-1, 0, 0], [0, -2, -1], [-6, 2, -4], [1, 1, 0], [1, 0, 0], [6, -4, 2], [4, -4, 4], [0, 0, 0], [-1, -1, -1], [4, 0, -2], [0, 1, -2], [0, -6, 2], [0, -2, -1], [1, 1, 1], [-4, -2, 2], [0, -4, 0], [1, 0, 0], [-5, 4, -7], [-1, -3, -4], [6, -2, 4], [0, 0, 0], [1, 9, -3], [-1, 0, 0], [-8, -3, -5], [0, 1, -2], [-4, 4, -4], [-4, 2, 3], [2, 1, -2], [1, 1, 1], [-4, 2, 0], [0, -4, 5], [0, -1, 2], [1, 0, 0], [0, 0, 0], [0, 2, 1], [8, -8, 10], [6, -2, 4], [4, 2, -2], [-1, -1, 0], [2, -6, 6], [-1, 0, 0], [-1, -3, -1], [-6, 4, -2], [1, 3, 4], [-4, 4, -4], [-1, -2, 1], [0, 0, 0], [4, -11, 6], [1, 1, 1], [1, 0, 0], [-4, 0, 2], [-2, 11, 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[-26, 24, 8], [4, -28, 38], [-44, -12, 0], [68, -37, 44], [-48, -10, 19], [52, 6, -19], [6, 30, -10], [-11, -5, -51], [-6, -12, 36], [10, 0, -10], [-48, 36, -43], [-16, -6, 2], [28, -32, 20], [34, 13, 16], [46, -12, -10], [34, -34, 46], [-40, 20, 12], [24, 12, -35], [-42, 8, -36], [-37, 17, -47], [-26, 44, -56], [54, -26, -6], [50, -14, 26]], 'char_orbit_index': 1, 'field_poly': [1, -2, -1, 1], 'hecke_orbit_code': 54043195562001398, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [2, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '1014.2.a.m', 'level': 1014, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [13, -1]], 6, 3], [[[2, 1], [3, -1], [13, 1]], 4, 2], [[[2, 1], [3, -1], [13, -1]], 3, 2], [[[2, -1], [3, -1], [13, 1]], 1, 1], [[[2, -1], [3, 1], [13, -1]], 2, 1], [[[2, 1], [3, 1], [13, -1]], 5, 2], [[[2, -1], [3, 1], [13, 1]], 5, 3], [[[2, 1], [3, 1], [13, 1]], 1, 1]], 'ALdims': [1, 5, 4, 3, 5, 2, 1, 6], 'Nk2': 4056, 'analytic_conductor': 8.096830764957831, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1014, 1, [677, 847], [1, 1]], 'conrey_index': 1, 'cusp_dim': 155, 'dim': 27, 'eis_dim': 55, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33555446, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3], 'label': '1014.2.a', 'level': 1014, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 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mf_twists_nf • Show schema
Hide schema
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id: 619803
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '1014.2.a.m', 'source_level': 1014, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 13, 'target_is_minimal': True, 'target_label': '1014.2.a.m', 'target_level': 1014, 'twist_class_label': '1014.2.a.m', 'twist_class_level': 1014, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 619804
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '1014.2.a.m', 'source_level': 1014, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 15, 'target_is_minimal': True, 'target_label': '1014.2.a.o', 'target_level': 1014, 'twist_class_label': '1014.2.a.m', 'twist_class_level': 1014, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 619805
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '1014.2.a.m', 'source_level': 1014, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1014.2.b.g', 'target_level': 1014, 'twist_class_label': '1014.2.a.m', 'twist_class_level': 1014, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 619806
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '1014.2.a.m', 'source_level': 1014, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1014.2.e.k', 'target_level': 1014, 'twist_class_label': '1014.2.a.m', 'twist_class_level': 1014, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 619807
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '1014.2.a.m', 'source_level': 1014, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1014.2.e.m', 'target_level': 1014, 'twist_class_label': '1014.2.a.m', 'twist_class_level': 1014, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 619808
{'conductor': 13, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '1014.2.a.m', 'source_level': 1014, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1014.2.i.g', 'target_level': 1014, 'twist_class_label': '1014.2.a.m', 'twist_class_level': 1014, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 619809
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '1014.2.a.m', 'source_level': 1014, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '3042.2.a.bd', 'target_level': 3042, 'twist_class_label': '1014.2.a.m', 'twist_class_level': 1014, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 619810
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '1014.2.a.m', 'source_level': 1014, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '3042.2.a.be', 'target_level': 3042, 'twist_class_label': '1014.2.a.m', 'twist_class_level': 1014, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 619811
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '1014.2.a.m', 'source_level': 1014, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '3042.2.b.r', 'target_level': 3042, 'twist_class_label': '1014.2.a.m', 'twist_class_level': 1014, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 619812
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '1014.2.a.m', 'source_level': 1014, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 52, 'target_is_minimal': False, 'target_label': '8112.2.a.bz', 'target_level': 8112, 'twist_class_label': '1014.2.a.m', 'twist_class_level': 1014, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 619813
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '1014.2.a.m', 'source_level': 1014, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 57, 'target_is_minimal': False, 'target_label': '8112.2.a.ce', 'target_level': 8112, 'twist_class_label': '1014.2.a.m', 'twist_class_level': 1014, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1599175
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 54043195562001398, 'p': 2}
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id: 1599176
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 54043195562001398, 'p': 3}
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id: 1599177
{'charpoly_factorization': [[[-1, -4, -3, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 5}
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id: 1599178
{'charpoly_factorization': [[[1, -4, 3, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 7}
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id: 1599179
{'charpoly_factorization': [[[13, -16, 1, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 11}
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id: 1599180
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 54043195562001398, 'p': 13}
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id: 1599181
{'charpoly_factorization': [[[104, 20, -12, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 17}
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id: 1599182
{'charpoly_factorization': [[[-64, -32, 4, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 19}
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id: 1599183
{'charpoly_factorization': [[[-104, 76, -16, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 23}
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id: 1599184
{'charpoly_factorization': [[[223, 12, -13, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 29}
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id: 1599185
{'charpoly_factorization': [[[29, -22, -9, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 31}
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id: 1599186
{'charpoly_factorization': [[[-8, 20, -12, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 37}
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id: 1599187
{'charpoly_factorization': [[[-56, 56, -14, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 41}
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id: 1599188
{'charpoly_factorization': [[[-344, -44, 8, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 43}
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id: 1599189
{'charpoly_factorization': [[[-64, -32, 4, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 47}
-
id: 1599190
{'charpoly_factorization': [[[1247, -72, -15, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 53}
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id: 1599191
{'charpoly_factorization': [[[-13, 20, -9, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 59}
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id: 1599192
{'charpoly_factorization': [[[8, 24, 10, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 61}
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id: 1599193
{'charpoly_factorization': [[[1112, -184, -6, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 67}
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id: 1599194
{'charpoly_factorization': [[[-104, -72, 6, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 71}
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id: 1599195
{'charpoly_factorization': [[[-13, -22, 5, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 73}
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id: 1599196
{'charpoly_factorization': [[[-1469, -204, 5, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 79}
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id: 1599197
{'charpoly_factorization': [[[1477, -224, -7, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 83}
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id: 1599198
{'charpoly_factorization': [[[-8, 24, -10, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 89}
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id: 1599199
{'charpoly_factorization': [[[-7, -14, 7, 1], 1]], 'hecke_orbit_code': 54043195562001398, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 13, 'label': '1014.2.a.m', 'level': 1014, 'portrait': 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xradUHDE0hifD+h3UjoDjxOzEOgPbQxXLY5pDdIOLvoMNVy2b05ZvuGPs1GgJCGMBR0BnUWOh5TDYErXc7Oexw+Izg+F3NyKcavD3jNTX3edDP4cpKDJ9qcPK84lzH3guHwouHGKxf4uXeusHlykuPnpjm32GBhxWFxVbLSien0Y3qDhNVeTEyd2swWvXPX1o9MtOvvCqO4+5//1du/2ZD4hh5/owG+2ukSBhFKyXc/8tSRl/+7//4p+YYbj778J9981plfXs9yt8Vqz2e167DcdVjpwXInSZk84dwqHFkUzM6u8u9/YImXXNrg1Plpzs43ObvocH7JMLcYc3ohYb4XMzk94hVX93npZeDJOr7yOb9c49yiw9yyYBBAHGtqnqZZS5iaiNHAibmYbh92bHBp1gOMESA8+kPN9o0BS6sOGCtFVvsQxGAwLHdCtqx36Q0VQhmEDmjXXLZvGrE6EJw465Boh5m2pFUT+C7EsWAQSOaWJeeWDOdXYnx/BG7My67o8/IrBbPtOksrbU6d9zm7COcXY84vx5xZhiNLhhuvWOQXf2CFjZNtTs5NM7dYZ2HFY7EjWe4krPYiOr2EzsCw0jec6wnOLo74z/8kiL/7lZMP1jf8kK5P7HtQCP2zWrvUG61vNlQu+vgbq8Hv+tynuOqqa/jpn/mpX/rknV/5F3/00S9ecuDE6s79pwfyFVetcskWjU5UCiYBCAwSkIAAYXCEwZdwdrnGQ4cUV+9Z5rJtIxo1cB2J5yo8z6FZlzRcyaDvcvB4jS887nFiPqAbRxw8FbBhZpk3v2KFqy/pceNlHY4vxiwOBA1/xNGzhk63yVW7JaujhP3HFa2Gw3Mn4NLNhlGYMEo8HCdiqgUHTvkoJ8GVMY4Lw0DykssGDAeSqy9J6A4TTpxtsWujotkIWQ0M6ycHrPS7fOTL8OSxhKePjdixeYlr9nWZmg5548t6fPerDHs2tkiiSY6dmeDIaZdTc5rT8xGn5xOOzAtOrkZcu3eBf/8DPTZMTnJqbpq5pQaLqx5LXcFKV9PpR3T6FtzLfcP5vmKuo7l+7yLvetOSdJA7T5w4s6vTi29uTuyot9uTX/zUX/wZf/KhD3+zIbPm428kg//G+z7GU8ea6rXXdf7fhfPn/+0jTxxRx+dGzHcVJ7pwydYF/su7znPtrgZzS1MsdRosd31Wu65l8i6sdBNWujHLvZjFDpxaETj1Ebdcucz3vCpk1/omq/0288t1FpY9FjuC5Y5mqaNZ6Wm6Q003MAxGMTPtiO0bNCDwXcPpeRchfXasV+zabNi8fsD5lYCnDrW44VJDo77Cs4enaTVDwtBlZkozHMHl20d86MuT7NsWEwSGdROSKBnSqvk8d3xE3W1y3d6Yp4+GnF/y2DLjs2sTbN8YolTE6UXwXIMQhh0bYqZakt7Qpz9w6Q5clruK5VVY6miWOwmLnYS5DiyNErZv6fM9ty1yy2UONbfNucU2iys1FlcdlrqC1Y5mtRex2k9Y7RuW+3C+J5nrJNy49zzv/rFldm+cYG5pkrmlOvMrEwh/ezKzbvqX3vTmTb/4wtNLyb5r/+bJlr9RAH/h4AvUarX63LnT2794/9PvOHn6/H9cXT6H1rDS1Sz1BOd6khOdhOt2zfMrP77INbsbzK9MsrTaYKVXY6XrspKCvNPT1u/txSx3Dec7grN9A6LPW2/t8MaXaHZvqhGGDVY6NVb7Hp2eYqUv6A0Eo8AQxoYkASUNvgt13zDZNqyfjnDcEUfOhTxz2EfHTd5wc4jjrvLY/gl2boLPPhxz61U+850hNUcRJxHTUxBHLo4bs7TU4BXXd/nsV1vs2gSPHgpwafD6l2hiMeSZIwnHTtdwpMeGKYeppqDuCzxPoATEGsLIMAqhNzCs9jW9gWZ1oFnqG4ZJwo6tA9740g5vfXkIusXS6gTzy3WWOikZdGC1l9Dpx6z2LLhXBjDXU8x3E2649DzvedcCl29rcm5piqXVJkudGgsrDsMgYdeOWSYmN/07t3X1n27ftvlkEIyGl1y675sNpfzxNwbgZ069wIYN67yDB4/+8IEDh3/zwYeeEMsrfWmAIDL0h9pqwoFgrq843Y246ZJ53vMjS1x/aY3FlUkWO01Wuj6dnsdKz2G1J+j0DJ2+DZY6fc1K3zDfE5zraKYmB7z2xh4vuyxmxwZFu+7S7dXwXQkowliitUAbGIwAoZlqjTh0xqBNyN2PNgkGdS7Z4nHL1QMivcq9j09y3aUuh+b6dFbavPTqAV98zGfDtGH/CcM/ekuX/cd9NkxLvvC44pbLFcuDLkdPTXPd3pB7nxkSBw1edoXHnm0jhnGfzz+mIBEcOe3Qbjg4AgZDiTaCRBuiGJAax9N0+oZmK2LbpoCXXz7gtTfEzDRrnF+eYGm1zkrXnpuVrqDTh04vptuPWe1rOgPN8kAy1xMs9hJu3jfPf/yxBa7eWWNhZYrlTpOVbo3VnktvoBhFkiQxxLqmt+28ymzfuecnduzc8/vLywvhVVdc9s2GFPA3BOCLq5HsDwZv/vK9f3HJnlnz3nvvf8LtDARBaAhCzShIGIw0vZGhOzR0BoLzA8XpTsLLLjvPu39skRt2e6z22iystOj0a6z2PFb7Dp2eojOAXt/QHcR0+0l+syz0BQt9iJKAay4dsnE6oT8wfNtLA3Zu1MSJxJGGMIJ7nqpxcr7GpqmYZ4/UQDe4bKvi+n0avzbgsUMDFhabXLmzSXtyha8+7XLTpTWWBqusrLTZuNHw8H7F9726zyP7Hbaud1nsd1hZnub6ywd89dmE6fokV17SZ77T4eHnJ6k7TW7cZ9i7fQSyz1PHBOunI84vRNz7lMsoUkgJiTbs3BTy2peG9PqKzVOa6y+FMGyw3Gmw3PFZ7bt0B4pOX9LtQ3eQ0O0n9AYJ3YFmdWBYHkrOdAWdYcgtexf4Dz+6zA2X1phbmmSl26DT9+n2XboDh/5QMQoFwwDrtnRDLr/qxuiy3clP3fHatx52nManhajpbza2vumZzMFgQByPfuC5Z574tZNHj06zvEKjptBGIIWxd6ABY0AbbVPzxoBIkELxyKEN/Oz7Xd5yyzLf++pldm0JmVtq43t16r5Hw3dp1h16dUlr6DLRdBiMEvrDhA2BZhgYeiOf5YUap08ZwlhzZi7G9w0g8JTBkYLBUCFwiQcO1+4U7Nls2L5lQJD0+NwjigOHp3jdDT7XX77CH3zO4IkGO7cMePqrii2TinXtATVVJ4xc5nvQrDls3SB48kDI9XvrvOq6RT545xDPbfGamw2uP+BLD4d89qEmzx+rs3tzg52bEmanQnati7hqZ4JSGkcZwNDwfWYnfcLIpTfwePaQS3/kMBgq+iNJfwj9kaE/sN+9N0zoD1PCGMLCQDG3YmhMdPjJb1vg77ws5OpdTc4utun06nT7Pr2hS3+oGAaSYQruUWAII0OiBQ88+Kgr46lf27D+qeVLL7vpnw8Hww/WG/X/cwEeBAME4kcPPv/wuw88dc+0DLv0hgqlwPdAG0Fh9BhM+kpgkMKgRIKnJM8eXscTLzQ4dHaet7y8z8uvGDHZarPcadDs1mgPPfoDh156sYcjh0HgMAoMo1ATRoYoMsSJPcLYw2iQSuA6gponmGwJplqwcZ1m64YB66Y63PUY3PeEi9QTvO4Gl2sv6/HA8xHhqM0t1wo6wyHzS01etlezbnJA3fEZxYqFboTSgmv3OjRaAY8frPHK6yd46TU9Hj+owExwwxUeP/KmZb74ZMgXHmmy/2SN7bOKjdN1ploNJlpQ98F1DEqCNrD/mCBJBFEsCGMIIgvAUZAwDDSjQDMYaQaBpj+EbgALfclCH0Z6xB3XLfPml3f4e68xRFGLucUW3UGN3sBLWduhP5IMRpLhiPz8BaFGa2j48NyBFc6e/8L0y18e/+dXv/pWp9cfvL/VbPyfB/DhcAWB/pGTRx5494kX7lk/2RjQqiswNqjLoCyEQAiFEAJkghSgpM0iKmVwVULNkSwO6nz4y1v50hNdbr1qlXfescpVu/rMTDZYWm3QG/oMhm4KbGWPUBBEkigWxLFd6k16FylpcByoedCoa6ZbEVvWD4jpc+hMxEfurXH0VJNJv85NVzi87OouD7/Q4e6vtbn50hrbNw340JcFSvi0WxGr/QBtQAmYbQ/o9jx0XOfNt87z4c822HO+xhtvHhBGS9z7zAxRUuMlV6znjTd1uXRbhy89PuDpUw2eOuaxdVoy3RY0fIHn2ptQChDCoA1obYji9GaNDEFkgTgKYRhCbyRYCQTLPRDOiGv3rvLO167yiisS1rXqrHSarPbq9Ice/aGbAlvRH0oGgcyZexRogjAhiDRhbNAawj7Mryxx8tzd67tD/e43vu4VZn5h5QPrZ6f+zwD48Ox/4XxnN51zn/7BYDh878LpA+s82WNm0iOMIE4ZSEYSIUAKYQ8pLagFKCmQUuMojasMnqOpOYKVkWK5M8VH72ny0LN9brlmlXe+ZpXr9nSYSerEsc9gVKM/dBkGDmGkiGJJnEgSLdBG5KuD72katRjfC/HcgDNLAXc+Kjl82uPY6SmU9tmzyePyXYobLuui/AWeOdJiy2SDK3fDxtkVlrttrtoiibXhrkd8goFkshnz+peM+PS9ESfnWuy7xOXc6ojnjrps2zDFNbsWeODpHl99ThCEHpftmuaybT6Xbe1x5Nwyh8/AIwcaHDrapOEIfEfS9A01F6S0QZUx9maNEwhjCBNBPxB0R4JuBKGO0WbEjZd2eedru9x6VcKmaZ/haIKlTo3ewKc/8hikwB6MFMNAWObOwB0mBKEFeBjbFTBK0t8ZwdzyKn/00S+vf+aF8+9tNJvxb33gU39w/4EV/vA9P/C3F+D/6j2/S23TJ3F75u8xOvXfgpVzkzXHZXrCZxhAGKn0kDjK4CiJowRKCZQUKKnsa6VRKsF1BJ6r8VyD7xoaXsJkTdALXFa6U3z8vjZffmrEhqkB77itw2XbRoyGfa7cZdi2URFELkmiSLTEZOCWGtdJOHHecGxOsDrUfOqBBmcWpzChy1RNsXnGYcdGh91b4Mo9XbRc5H2fbrK8PMHNlzlcuafDl54SiNhl/ZSk2YgZRB7SSDAS5Xh0RoLzy4IrTIPbbujx4ON1Nq/zuPnKaf7+mxb5/c/2eORgk/7IZWm1xa7NdfZtGvCSvT2+65U9zi4v86kHfJYGPifOuZw54+EqSwQCgTaGREOkDUmsmZqJuPqKAUEQcdm2gLfdFrB+QjHd8omiGucWavSHHsPAZTByGAYZsCXDQDAMBKOAVJIkjAJNGGmCyFgGjyCKjb2hYhiGinOnOjx+9OF1O3dt/m83X7Mh+sP3XPEn88d/lfU7/+XfPoD/zHs+wjte/Tbxwz8r376+/uzvvu2WJxuX76iz2mvgKoPruIxChyBSuKGDo5QFuZQoJVESHCVy0LuOwHU1npNYBncN9cjQCA0TtYSpumAQSnphk2Onm7znT6ZBx4g45oarB+zaGBLHWeBqkzhSCKQSOK7HwZMe+w/XaNYcWp5kXUMwOyNZP+2weVaxY1PCvh2rJGKJ3/hEmxMnJ7l5r8tlOxOGcY+vPeMzWXeZmTBMtkIadSuFtJZ0RorlvmGpk9Dp13nFlas8un/AgZOKyXaNl1wxyY+9eYn/8Ul4/HCT/tCw2nM4v9xm47oG66dG7JgZ8a/ePqDd6PD0MTh4SuK6BqUMQmhsZG7ZPI5h58aEW66KSSKXKPYxpsEodJlbtKAeBg6jUOXybRgKRim4RyEEYcHaYagt0KNCAmWaP4gFowh6kWQlFHT6CTMrT06+4bqZ3/3lcwvxYvdff/T8kSmzYc+P/u0B+M//yofZvqGt/vizf/zW06cW/+CDX1uuPXWgyXvf1eWSLTGeE9Mf+biuhxe6BI7GdRzcUOI6CieUOEriOdIC2xE2ze5KAlfihwlBZKhH2rJJaGjHEESaIIYwFowiSZD4REmNA4ebPHUAEmOw0LbSx5XgKVvz0fLhyk3QrsNEUzLVUsxMOqyfhu0bAzbNrhKZZX7jExMcOTrB9bsVu7dK9mxd4SvPxZxfmuCGXZKptqbmDfGlj1GCOJEIY4iTkJV+jfNLLtdfVufavT0eeLzGhilBo9bi+r2an3zrEv/tk5rnzrRY7WtWe4qFFYd1k02m2nWm2hO0GxGzzYgd14f4bozrxCiVIIUNJgz2pooixfyCQxQrotiulEG6YgahJIgkQSgZhZIgFDZADQur1p7X4vwGUXbY2pogssAeRoJuLFkNYDAMuWb7Ev/px89z295zjeXF5h8I9VtaOzs+ceaF30+27P3hb32A/7ff+l9MtD116tz8206eOvvB5w6eqDXbLe56VOJ+AP7Dj66yd0uM6zboDRNcJ8FRLq7SuI7CDQ2OUriOIXBMWkMiGIUC3xUEnpU0QaiJIkMYJ9YViUtHAnFiSBJNorF6W5ODWwjsCiHBdcF3BDVf0PAlzYZioiGZmhCsn47ZsXFAq7nKJx4MufeZaVYX21y9XbFjk8ul20YkYpW7HmnQdB1mpxStxohnjmA77rcZBoHimksjrt5jmDuXsLDiMRw1eMNNPe5/esihM4pmXeJ7ba7arfnFH1zinueGfPqedSx1DTvWJ6x0HCbbiommS6vh0qwbar7G9zS+k+AoK7WktNfAGGzCSgtiLYkTQRwLolgSxoIokgSRdV7CSBBGhjCEIEoIo0yKWLcpjAxBaDO8QQSjSBDEgmEk6EWCXizoBBodjrhu2xI//yOLvPZ6yXJ3gtXu8Zr0G3+UqMYPxcx+7JlHP5JcfdP3fGsD3BgtFxY733vq5JnfOnrkeG2m4SICQWIafPprG4lCxXff1uFtt3VYNxHRG9ZwHZ/ATXBDB9dJcF0HL1R4jsJ3Ldv4XnpR8kMRxRBG0joIcWH7xYkmSay7kJjUKUndEiGEDV6lwHEEniPwPUnNlzTrgnbDMNnSbJgOmJ3qEZtVPnq/5Pc/O8P6Wo2rtwu2b3LZuVmzY9MKn/iaYXm5xmUbFVNtaDUizh+XzK/4eLss081OSCYn4dAxw0pXM7dY49KdNV59Q48776sx0wLf81Bykqv2CH78jfO4cp6/eGCK58/U2NCNWD8ZM9FUtOqKRl1S9x18D3wXHMdYkAuQogRy7I2daEgSQZyQAh2ixMqMKEosKaSAjmJNGFuNHUYFsIMIRrEgiGEQSQvsEIajiLbf43u+fYG3v6rP7dcqVntt+sM6QVSju3KyJv367zYnlIN0/heWZ741Af6/PvLnJDr5wYcePfarR4+dbLcbChkYEq3RRrJMg88/upGvPVdjbmWRf/TWHtPtkLpfpzuo4ToenuvihQme4+C72dIqbTAaSwvu2II8SlkpjiFKsGnkDNjaPpvMB8QytxA2iLW63gKk5kOjpmnVYyZbMbOTQ9ZNrfLggZA/urvOwWOT7Jxw2bMRtm702LoB9m3vMoi7PLy/TV25zE4pJlsw2QqYmojxPAch7M01DDyWuxGrA0OnHzO/4rF9Y4uXXjbP3Y8MOHimTcOPcJWHEBPs2aL4/tcscuO+ef7o7hYPPzvJUt9hfTtmshHTqEnqNYXvCnxX4ro2VlGK1D60KDfYHlatyYEeJzpd3VJrMdbEibX9ojgNHNMVMQsgR7EgiATD2GrtXgKDoSaJhszUu/zD71riX33vkJpXY6XTpD+sMxx5DEcuQejS75xqD0biN2Y2XOE99rU7f//Gl73pWw/g3W4PKeWPfuzjn3z30sK5mWZdIQNrX2kNBo1AsixrdEaKX/1Tl/1HlnnzK/vcdm2XDesCur06w8DDcz18zyGMskPlAI8iSRjL1F5MPe2E1PojZW6JNhTgtknKlLnBUTZh4rmGmqep12JatZipdsCmdV3Odwb85qdc7np0muWVJpfMCravF2xZ77F1vWDX5hGOt8qH73U4eqrJ3g2SqZZkopkgZcCZBYPvSKQAYwRh5LBjfZdHSGyzRtdwfrnO3q01vuu2Dh/7ksfx8z6uEyGEizZNolhyw64VdvzdLnc9PuBDd03z2PEmW6YE65oJzVpCzbOyzXNtrOKo1GaVIq/JMJg0K4x1WhJ7PTKQx4mVdNZHLzsjafIoscC2rA2DSBP3Q7au6/KqG1b5zlv7vP5Gg6LJ4nKDUVBjEHgMA49RaAPZYaBYWDk/o91d733lbW9WvW73/a12+1sH4HHQQbnq7z/52Ffffe70C+sb9RRs2mpgbUyKMY0UglXh0Qum+PA9Pvc80+X6fV3+7h1D3vjSVdZN+gxGPsPAI4pcwtgljJw8UIpj62VHSaYtJUkiSLQotLYW5KrEkPrrNlFkk0Uaz9X4XkLdj2nVA9ZN9hlGQ770jOEjX5ng4WcnmfJcrtpi2DQt2TDjsXlWsnVDyO4tKzx9fMin7p9lQjnMTgjaTUG7EdEZJHz2azVankEIC6xh4PDmWwI+85Ctien0NfMrDlvXt3jLy/s8fKDH/kMeTT9GSWFBrhuMQqv1v//VHfZumufD93T56vOTnFyps7EtmKgZGp6m5mg817pOStobWWZl8ynUdSrVtC5WuDgFuiUIiBJBlBTAHsWCfiwYJNiYJwxp1gd8z+tW+N7XdLhhr2b9lMtgUGelV2MU+IwCl1FYgDtIj25f8ujj+9dHZubdr7z1lXp+oft762f/+kH+1wrw+cVVnj7W5bmT/IAYfu5XTh99YGY0TFBS4jga1xEkCYUOxl50R2p8Kem6TU53fc4+1OShZ/p87Ooub3v1gNffMmJm0iMIbK1FGLtEkZs7AnGiiGNJrCVJUgBcm5S5dVFTJoRJg0pbx+E4Gs9N8L2Iuh/Sqg9JGPLFxyV/8uVJnj02gYh8dk4ZNk0a1k0qZqc9Nq6TbJ6N2L6xy6mFHr/96SZxUGfrVsFky6HdhHYjQrgh3WGTyZZBCIExEMWSaV8R65he5NEbJKx0FWcW6lyxu8W7vmOV9/4vnxMLTRwVpTeGQxzXGIWSjTM+N1zS5erdfZ47cYaPfKXO3Y9NcrZTp+krWh40XYPnGFwFjrTpfCGq1XUaMNredIkWJMYm2hJtwR0mNkk0TATDBEaJIYpjdBgyUxvwhjtWeccdPW69KqZdc4iiJsurNUahRxi5BIGVJKPQIQgVYZiuurFEI5lfWOFDH7trfWAGv/Ldb3p5bMyBPwxHm/Drk38zAT4YDLnhkvZ3fuwzj/6PT9/1lfbmdh9XNkm0DXisFEhrTIzlcCkMjgBXGnwl6CmHQdRmPqjxFw81uPfZAS/5Qp9//N09Lt/eZf2koi0dwsgjjF3i2MlBbsEtSbREG4mtyxJ5+t0yt0Ypg6M0jhPjezGuCukOIxa6Ef/1EzWOzU/x+P5JjPaYqQvWrzOsmxDMtBUzky4bZiQbZ2K2zA6YmVzhric0jz0/ydVbBVMtSashaTc0zXqIcAN838FR9vcbA0kiGQYOw1FErAW9oabXNyx3XeaW2rxsX5+XXrHKh79Qo76scGRkAWkc4sQjjCTDwGXdZI0b9/S58ZI+j7zqLCcWJH909yTzqw1OL/l4StJ0BV4mw6S9DjmRZ1IFy+SxEcQaIi0IEhjFEGoDSQxxhFIBW6aGXLXDXo+bLk9o1x2iqEWn5xFEKbBDlzBWhKFLGKmcuTMpqQ04yrB51mHrxlUmk0/PLJ3x/kd98tYVnfQ/9deJyb82gB86dIgd2zaq9/3en1zyyOMH26vzQxj5TLY0jgSBQKUAzwSKEJZZlAQnBk9CTcFQCfquyzB2WAob3P3YBA8+P6TpB/zQt3XYNhOzY/OQl13ZwxG2RUwIK1dsVtLWShtTYm4MQtoCrSAyGGKQMc8dkzx6wOHOh1s8d7JFGDdoOYrZumG6aZhqGOuDtx2mJxxmJgUbp2M2zw7ZNLvCvc8GvO/O9WyadJhtQ7upaDcFrUZM3Q948AXFKHRwmxZUxgjCWFJzFNftHfLQM5O28GmYsNp1WVz1Ob84xbveeJ7Ti0s89OQsrgREhAbi2ElBJOkPHaZaNSbbTV66d8Crrh7wd29f4MApzWcervHwgTovHG0SC4cgUAwihRIyre8pB55pTsBoYm0wWuOKhAkvpEbES6/vs2vTiK3rIt75+oC6p2jWHMKoQadnQR1FTiofVepoOZXMdBBZSzJJ7O91FEy1YardZNgb8fDXHm63ZzqXvOL2d6jjx44kO3ft+ZsD8P0Hnmdm3ZT36KOP/nDN0b9KtMK29R4irR0BUikCRtnkQyZPbKBnS1IdZXATy+SNBEaOYJg46VGj10v4lQ9PYeKIDbMjrtg+YmYi5m2vHrJ9fUgUiVRvSygxN6n+lFIjpODj99R5+kgT4TicONvgzPkGtbpiwhdMNg3tmqZdg1ZdMNFQtFuKqZbDzCSsm4zZMDNiy/ouiVnl4/e3GfabXLrV0G4oWg1Jq65p1WJcN+Suh2oEA4m73naLZhKlWVe84SVD7ntC0w8k/WFCd+Cw2nOYW2pw+a4Wb7u1y+PPNTix3EJJDUSpXnaJEusmjUJJf+TQ6Xu06g2a9YDLt464ed+IU/Mdjp9bxXETnjrq8LGvNBAqLVwTsnoRjQY0GEMUJuzYEPOOVw9Z107Yt8OwYQaS2CUIW8Sx7ZqKYnvEsUOUWLkYRYowVkSRtHFSLHIzIM4YPDUGEw2dnkOHJqOoyy6lf/XpJx8fbN6y4/dfOHgg3Lvv/3vTxF8LwM+dPc3q8uLek6dO/+bjjz8q6zVrVVm3xLoXUoJIMrCbNLoHFVuN6ChjWTwRRI61qOoaWokhTASBFgSJS6BdYg0L/TZfeVpjSPjzhyOESOxFMpoM2YbUIssrEiVSKeLIQWoH15G0fNg1a2i6moavafjQ8AXNuqRVV7QbDhMtyVQbZiZiZqcCNs/2SFjhv/5ZjQeeWc+eGZhqpOzdkLTqMY16SLMxpF5v4CuJkqkGx8qBKHIZDQXDIKEXKPojTW+obctc0+P0+QlecUXAT779PL/2MYeTqz5CaIyJ0Ikhil3CSDIKbI12a+jQrHk06jUafoOaH9Gqh9xwaYjnRtx0acw77xjgqDhNAmmEMFVRnko6rSVCSHxXAR6jwGFpxbF1O0kW89hnKw9twVoU21goC/qjSNpANbbBf5RkVZsZNgRBaF2uMDY8+tijMojkb3a6g/uDYPTsXwc2/z8D/K7PfgrPdesnjh9565Ejh0SzbgEYx6nfnbomOtXhUgqkNMg08IklRHGWSTS2BSuBWKVRvU79bC2ItSFKNWKsJZGRJNoh0j5JanuVH3mWUoAjhM1UKqjVDTXHUFMJvgu+AzXPUPcFdU/SqEsaNccCvCmYbGmm2zEzkwHrp/tsXr/E++7UfOjuDWybVKxradpNRauhaDagUU9o1SPOLWmOnPOpeXaVgqzSTzAKHXZt1GxcN6I78hiOTMriktWeQ6teo9WY5J13zHP03By/+6ktONLBoEl0Ys9FbIO3YWiLogY1SWPkUPdd6n5Cp2djDM9N0oRZgiNto4SUNp0v0sOWrqTTCYxdCTs6rbLUNq6x8U0R68Sl5zgR1slKWdoCXuTVofZn1sJNdJZZTZNO2iacRiE89viT4tJL+m/dtXvXkU9+4hPDt7z1rd9cgG/dKLxed+5nhv25n5GMZKNudyKIlbEReWJS79uWocoU6EpCLAQqBbpNOthnN7WqktS+sochMTYDl2TJCmMD1ixQKmtuIM3kpQGutLGAo6yz4CqB6xjrGzuCmi+peZK6r6jXFK26pNUwTDQTJlsx0+2AdVMDtm9Y4uEXAj58z2amaj4bWpp2Q1hw1yXNmqZZi2k1Ah4+CE8daHDJrEl1b5E2HwaKm/YZLt0+5JFnJxkEhuEooT90UpC7NGp16rVJvueVyzz1wjwP7d8IRqF1YsthY0McmbyeZBg4NEaGek1R8zS+5+J7Cb6jcZwE17ElxkppuwWLtNcEYRDldpI8OBfp+c1AbjV0/lqLFOQiB3X2Okktxjh/n13f1EmrgNuW2kaRIewP5NETZ//fQNe8Wr3xS0D4TQN4EvdkHA1/4emv/cE/l/Epr93wGQSp3o1tdV4iDbE26CQ9oTpl78SgpAWwSmzzrKNBJxBr+15nd7shz0TaYKiwt0zqqZfk9hjAi4SOkmnGUlEq2rLZP99T1HxF3Rc06oJW3dBuJEw0YyZbATMTQzbPrvDQwSG/8MENnDw9ye51mskGtOuKZl3RrEGzllCvRXjuiM7IoKTCVQYpi0+WASOKPdr1iEGsGQR2f57BKKE3kHTqikbPp+a32Lkx4hd/uMPP/4Hka/s3YFBoo0kSTZzEaSrduhVDX1IPFDVP4nsG31P4jsZ1rd/vKJOWG6fXIZUpImsPLD10GsdoXbB6VjefaIHO8w3WGYoz8CbCrrhJAeby6ywBl2iTAl+nGVPbeXT6+ZPe8rD+Uz/1z3/IXe6O/t10+6/e2/lXBrgxS2BGv2R6H/+nTeeZ2sxEKy2yN2lttQVXnAikFugU6EobEmnQyqRf0OrvJAe1KUCdpCydgjtn67QMNDsYA3gqu4sgNm2SUMpG73m5rWNrWjxXUfPtSIa6b2jWNK1GQrsRMdEKmW4P2Ty7ykMHBvz876/j4Mlpdkxbh6VVlzQb0rJ33dCoJTRqEVES8sdfaCGVwpUGJQqbUBuRLusu3/+6FT7/WEgv9BmkAO8PFb2+ouM71Dwf322zb1vMf/yRJX7u9wVffXYD2kgSrVNw2EKzINQENVvu6vuCmivwPZvZ9ByTZ2wdpZHKrpxSGET2XGYIk4GcnNGzCQM6e50WrmWSI0kysIu8qO1CUJdW5jx7qonjopCrH0g+/9CJmvuHX/xn//wHXyvOzK/+7Jb1fzVv/K8M8AcfPYbR+qUf+rNn63dcNaDhtgDLyo4CjMgBln1ppVN5oUxR/KRM6gzY53LdSNZ+lSVrMsbWKWWXmTt7ZACXAoS080Nkib0dJ6s7kbiutPUbnqDm25knDT+hWbfgbjdDJttDZic7PHxgwC/83jTPnVjH1inBTLMkTWoOzZqtX6nXYup+iOsGnFmawlUCJXVqyxVBZpJI4lixacoQxxHdqMYwbQMbjhJ6I0l9oKh5Lp5bw3UmuGxrzH/8+wv8mw/AQ8+vJ9HSAjwxRHGSMrkm8DW1UDLyVC7BXNdatFkjiVIGR4KUmZtl8sKsMYxbuUK2aoqcdIzJwG1/bpN4Il95s0OXGDu7pmXpGifpKp/VCgnBjk2r3Lj5C3U93PlSM+74/O8G+F98+nM0lGn89h99xjt0HAbLG3jFVbX81CgJOFZ3Sg1S259ld7xOGT0xVqPrVFObDOjZe2NfV+RIumyai3w2KYoiKiltUJuB22ZURUmeQM0F39PUa4a6b/Vzox7RboRMNoesm+rw2KERP/f+KZ45McvmScVsUzNRF7RqkkZN0agL6jV7c9hUf8hD+wX9kUdNkabL7Q2fNSEkWhDFDs2a4mVX9nj4uTaDyMqUYZAwGCp6vsL3FJ7rpfp5ksu3aX75x+b56d+Br+5fT6QlkdZps3TRgBB4Et/Tlr3doo7eUdlBKlMKGSfTLO/aIE8PROl6QJKRj7avy4VcxbPJiapMZBUyS+xv8lzB5hnJLdfVWV+T7H/8896m3W9uPPTg3YOXvvx1//sBfvzESbZt3Tr5Z5/4xG9P1ONXXrJZMTXhstqXNHwbkUtZJHKkBpXVhJhCU5tsaVOW1U3OBNmdXKqXSJ+NMTlzY0xVdwsri4RMwZ0WGakc4KDSikHXAc8Fz9XUvLTAyk+op/KiVQ+YaA2ZanV58nDAz71/iqeOr2fjpMNsQzNRh2ZN0KwrGnVFI2fvhJof02qMuPcpj9VOjampIk2eASZbzqNEsX5Gcce1fe59VNsumlCXQC6puZKa6+A6Ho5TR0rN5dsM7/6xeX76dwxfPbieSDtEWQVgYnIm9yOZVxd6jsRJG0YcKVBOdm7IP19+E5Kl9U0O9SwhNH7o0rPOr2EG6uJ66hJx5c+6Sm4AjpLUfcncos9wCK2WfqVsHPvAHa/7zn9w5syp1S1b/nK7wv2lAd5ZmeOF/tJPryye/l6HHptmfTwvZW3Ii+ylNPbOloWsyAqf8tfjP8u1XsbW6VKIKTFIiVIoSkGzOgurJ4sab6WKikFHYeszHIPr2sbimqepeQn1WkyjFtGsBbQaI6YnOjz+QsDP/M46njy6gfWTLusbCRMNk4I7Ze+apO5b9q/5MQ0/JNYBvdBHKImbMXiuwUV6o1tLLYpcmt7IlguENaYykI8SBp5lcN+TtsPJyTagNVy10/Def3Cef/1bmq8e2ECkHYJEECY6ZXFBLdL4rsFzBZ6j09Wr3Ocq0/MjckknS/GLJanK6c4L1srgzkkok5OmJC9LZKV1WXKa0qqcjrpJf2+iDZ2uZhRIzs4vMUqOfe+6DU8diaLo3/xvZfDO8mnaU5t3fOWuD14t43NsmFEY7DLnpkueZQNT3PG6uPttYGJyMNvo3LL6OBvkUiRNCOQnuEB4wdrloDJbbtMOnewzOY6xvZ9pEVJWPVhzk1Q3R9RrAVPtARPNHg/tj/nZ963jiaMbmJ1wmK0nTNQMrRTc9Zq1EzNw1/2EmhfTbobsP2645/EmnpS4ynbWlPe6yVayKFHE2uG2GyIu2d3nyMk6sw0YhcYeQcJglLKwo3AcN7VV7Up55Q745R9f5N/8jub+52YZRXWCxCZNGrGVLL6LBbmTrV46722VKslXOCVFCeCiBHIu0CsFyEvEU1ltyxIzu/Yl8OvM1i3+XV7lmf7PE20YBdZ4eO7AKSL98NX/5B/92I4jR0+f2LN7618/wFdXzuHVJnaeOPzQr+t46Ts9p89E082TK0VJptVxuYzIAhSTNRyUgxQK5taFLZUx9bhTUjrHZBXOF4BbGKTKbMEs6E1Z27EjJlxX47sa34upeTE1P6RRC5ieGLDSG3Dfs/DLf7KRpw+vY10K7sm6oVUXNGsi98qt86Ite3sW4HU/IEwSRsMaNWVvMpkBJl98UsstkcSxY7W8ExCEhmEkSgDXeF6C5zq4rsRRCiXdHOAIuGaX4Jf/wQq/8r9ivnpghrOdNqOmZDIxtGJDLZ044Lsm9f4zJ8Xk7J1JlQzg+edNP3QZ56Z8HTKAUwW7LgO/RGj5+/K1zZqjKQyCOCHvKdUaBkGf5tzyd3753q8mL3/ptf/s5Kmzx7dv+8b29PyGAb6yeBLXq988P3fwrSsLh6nXfLwkIamUolqAZ2fAMm/5JIjSkiVKd30WuBTZvjLAi0clHZFfBJGuIrYM1uT1LbZq0DK3LdfVeHl5rAW376Xgnu6zsDLk3X/c4FNfm2WxP8XshGS2loK7ZnV3Iw0s676NOSyDW+1d80Mg5MtPeqxEHjM+lXpsRHlJtzo8jBzavsOrrx/w0MGQXuQzEem0i13jBbZW3XNkPmlASRchbYIGA5dtk/zaP+7ymYeG/NLvbeD04hTDSYdJT9CKNY0Y/MiOXvaUHWjkZoGmFHkQnD2XA/X8xhQFwHOgl64TmJJkMRVy0mu8H7/OjF3X7CYy2sq5J585xKaN6986OdH8415/ePwbxe03BPDRaIjv1y49fPBr/+T86efxPYlBox0rMzJWsiA3+fv87jRZd7cpgJ5/aTF2QkTlS1cBnunu6g0lhcldgKwEwNpgFtiOsuB2nQTPTfDcmJoX4XsRrfoQxxlw71MJH/hsmzsfWE+o26xvC9bVrCyxFmDmk6v0EClzl9k7wnECHnx+kkHosKlh0htunMHTQFPb+o2aq3jp5UNibQE+jASjzA0J7cg118ksTpUC0WYf07I11k0Kvvf2Pi3/LL/32SH3PT/DXFRnUJO0Y0PTMRbkThqHKJPGJSYFeUoMafyS1WNJChYf31GwDHIwFxJTGdyln2eyVa95jYs7yAbkqYQRikeeeI4brt33T157xyueGPQHhxrfwEi4rwvwePQCJ47cRa3e3jxcOfIqYZbwfBdMUmhlimeR1nmXQWrrv8ckSM7wF74uvnSmdUpfnEIGFdLE5D6ukjoFuE5rvlNwK1uL4bsRnhdRc0MajRGeN+BP7nZ4zx+u58jCNK5fY2NLMO0ntH1D04dm2mFf9222s5YmhGz9SpKuBFaeLHYT+qGHpxSeNHmASYmVMi85SdPbYexSd0dsnByyOmgxjEQ6bs3GCq6bpDafSu1OlfvXReBqKx+/89Y+N12xwC//0YgP3TXLctxk4Ls0XUnbsTU4vgOeIm+GcLKkjyS/IbMscH6u1wB4Beyl61YBc/m1KRkG5RuhdLOUb57qv5OcmVvlvof2v2qlF29eWekceuS5U7zkyhd3Vb4uwI1J2H3ZzTt7S8++b/n0I0y148LtMAV4M4Bnr6tfVoyBuBw0irEv/OITnbOUspAZe5eZ26RzC0vMrRILctfOX/G9EN8L8N0hx8/H/O5nmnzy/hmOnp+i3XCZrsGUn9DyTZp6z8AtU3DLPClUS7W379kbp90M+MSDDodO1KkpYTOGWWxCgfI84DZWh0exw2U74E039fjA52boNxzakWEUGfwwjRuUxnFkOtmLEsjd0sWyq8L2dZKf/b4BV+86ze/cOc3RuQmW4zoD16GpBI0U6J409sZJXaaCxU0erAuRbgpTthDHMTL2pqLJ059lupuL3ABlkOd/XsKENhBGDp++9yC7L7/yfbe/5tZvW1rufl2p8qIAj6MI5Tisnv/a1t7S/j0kK9RrdZIkLuoUjIAKSAswl+UJFYBXmb/KAGsDPJM+hSwpy5N02mxaY6Fkxt4Jropt544b4/sBnhPQS0J+86Mev/eZjZxZmkSrOtMTimnPMOFpGilzN/L0vUzrVFJpknrnObg9m70MopBDp336oc+Un7o4WdIpcyWyi2xKNSmRQ7vpsGtriPJH9MIWQ09QT1PXXiqv3FSiOJnrIdRFglfF7MSAd33ngLfeNsfvfabL7358hsVhk6FTo+YoGo6grgx+bCybSytVHFnYmtmqmDM5VXm4NiFeBKxjwK0CWeQ3wVoAz4LUWCtW5zs8/Njze2YnvK1vuuPG42EY4XkuF3u8KMDD4TmU2541eB9dPPeE6zoOnowxSqwBcJHP3sjkRZmRC1CXMpFlJs9vgjFgQ1rtlu01ZdKgcpy9dT6zUEkLbkcleG5EzQvx3JDOKOTBpyV/cnebj98/wyhp4XkeM55g0tM0PUPDNzS8Atw1X+L7Ej+VJjYxlDoTKcA912Y+j50z3PdYgzBy8ZvmggAze2QWaVaKGkYK13W446YeH/5in4OnmwxrdjRD4Bq8GNxI44Y6HWMnUhkhi+E+FEyXaNuf2vAdNkwO+dffM+Dy7QEfurvFo/snWBg2GSkP13WoOYK6BF+mNmpmr8q0Zl9QOVgL6Gu4XFWgiwtZeRzsJZYvM7chzZamWPNdh/vuf9J92xtu+ujiUufa5dXewl+Zweutluyv7L95de4LEzW3j3KKCNoYgdFFSWVFi5sC5LZuRIzdrWWNXuq8WeNRBXipMEjogr2lTu3AxAJcJbkccZyITj/igWcFH/xcm7sfn2C500LWa7TqiknX0PY0DdfQ8Ax1j5S1LXPXfUnNU9Q8Qc0jrdDTKbi1XRm8GOUEvHAaznRqNrGS6ttq4iQn8LQPMi051ZIwdNjQFly6bcgzJ2MGkZuORAMvxIJPJalEyRI1IMfqNLKbJ7Mho8TWh7/jjiGvf8kKX3qixx/c1ebR/W2Weg060qPvOXhK4EmBL23roCPtLnVKlBhdpGW/cFFdbkovqpZiAeKCpcWabF2OUzKAZ++FEIx6Ce/78D0T3/fd5uaXXH/p53iR4UEvrsHDU77vRr/l8XzTaYyKPr5cR8u8XpgS0BnX3C/C6mXrrwLq/I1JKxOL4nxRAbZOnxOUTPAyN0NGLPRi7n3M4bMPtPjUfRPMd5uIWg235dJ2YMK1nTx1l1R2QN0T6SHTktNUd3sCP2PvDOBOjOfF1LwQYyK+/LjPiXN11k0LXKmLBo+xbnYMaf1GWm6aKIaBy44NgjuuH/DJr4X0I5dhJKi5Bi+2LB5EprRKqdyvRsiKTMmvTdaooK3fXvcD3nH7kNfetMSf39/jMw80uPfpFvOdBkPhMfQcHFfhCIErBa6UuMKkUstYh4WSRCwBfC3FUgb42uxdrOZ58g9bsGUMxBkJZCC3cAAk9z19uvmdb+K3nnnh/OXA8C8N8JWuZiUY/r1w6Q8n102exCR28muSZOMY7Ek0RqaVftn7kgzJT/aFgC5r7bzrfQzhAlPUKqd62z5bYIsU4I6T4DkRtVrEKEg4eAaOn1V85AsTfO7RNvMrTXBrOG2XhpK0XEPL0dRdQ92FmmvBXXPtTEJbZipLh0j/3KQg1znIPde2px05q3nmmA+umy7zppSiFxWqK7NVkjYHxIkd53zVroArtvY5cKbBsCZoxAI/MgSK1NrTlXHShQVZaJXcZ0+tSK1VOn3AZRS61OsBP/iGgDe/bJXPP9bnT7/Y4PjZGgfONAhXfWLfYeQ4SCVtOh/slN804MyCUCVK+Yi1yKn0XaEsQbImFVFibEiy59RL15S3rckyg7bN6/zSgKefe5KZmeaLcvRFAb6w0hFhFPzkb//RkclLZx1ecmnIDXtjRDrOOI7tnAudjWhIZ2xbySIrcoUS6MtOQrmQJ0vVZqelnDQSQhesLXQK8ATft5NU4yRhbgm+8BWHI6fr3PNwnTMrdY6cbYLvoxoONUfRdAxNR1sXwTX4jh0c77ukIM4OmR4qBTip5k7B7Sb4rmVve2OFHFuA/ccbuLJqD+YShaIePF+K8+YBmfY5ulyxY8il6wc8ezRmELu0IkHggJfOBFQlgEspEFJWmJwyG+qSDErS35EoosQlcD3a9ZDvf13ArVd3ObPS5cuPeBw95fP5xxucXaqRDF20dIg8hZDSrhQi/X1kGc/CH1qrEnFcspRZvAC8PSlZ80rRW6vBJKR9iggnRqqYl+wbcvMlIbde8pV1r3v9v/gn//KdR98rvN1rCt2LAvy9H/gMUZzwsTv7EG9m16Y+V+0c8aobRlyxM2LTVMienRrHSKIwG9VQDJOvsrfImb3QZmt73Dm4MZWA0koRq69dPyFKDEdPCZ45qvjCww2ePebx/LE63cAnCH1wPVTbtR36ChqOpl7ygX0nq9PIymZtXbifyhLPU3ieTG8AU2hvN0mH7ludX/MijA45vywJjI/jSDxpZ73kCZMqgecgT0y13zGMXQQOs9MhUo3oRy4DR1inIyoKxhylKxlIKcpGezrsCIHRsmDyUg+lm6h8/MQg8Ng4FbJ9Q8QNuwOG4ZAfOtbh2eMeX3ioxjPHahw9WSOKFfgKIxVaSCrZoAziWYFW6aJmSaD8YpcFeY78rKM/KzVNG8gjjUPCnp0hW6ZCLtsVcNsNIVfuTNi+XmL0XDNc+eL3hsJ571+Kwd//obuYW+qpT92zX8TaYRBP8dSxGs8cCfj8IwETTsT2rSFX7Q153U0jbr8uAmPLUOtNUg0uEcaO5i1YHIyRRaRafgh75S0YNI5j55gIqYlCw2Bk/+z4acn/uttnECmefL7G4VM+i32PIPHA8UC5qLbCk4K6goYy1BR2nJlKC4+UZW3PFTbpUQa3K/FSWeJ7djMs65rYlLnraDw3TjOiEfVayPxKwhe+2qLT85maEDipFy9LOBh/ZKtuHhBqSRAo1s0oXv+yEZ9/dMjJTpOhK61MccCNDW6Uedapxy4TaxdSnnUi89+hjVP6HRboXqJIHEXsKqLEIYrc1EqNaHoRt14V89LLA97yqhEvnJI8td9lGCo+9IUGx+ZcEJLB0CEJVZrulBinALiptAaVvrDIlu4igyNiELkMSag3bEJOoHn1ywNed+OIK/eG7NiiaTuCmaYi0R6jwGcQewSLR4Vq3KzOHb0z3rT7wiGeF2XwDdPN32TUu6bpGIx0GCUNdOKxMPRZSGKOrcR89dmYj34pYnYqBq25bm/AO14zIoltO9LspOa6qwIaNQNaXBiIVBjcol5K6AwETz3hsNS1VXsP73f59P01RpFiFCnOzXlo4RAZFy1ccByE7+BIiacEdWmoKYOvwFcGXxlbA+6knq9TMLeX9WXm4FZpj6bI2dtzNZ6XFWglOXt7XoRSIV95QvHJr7VQnmPttor+vjiDZ1641eGSKFGMRi5vvmXIpx7s8qEvT9CPazRTHe5mOjzKkjIm7xYSIruTsvMsS1q/BHCddsE7lsldRxE7Dk6cWKCrBKXsIP2pWswt+2Jeti/CiIC33T5gFNlxbn9xv88j+z3qvmCxq3jqOY9uXyLGPVHWuui2tLZZM1x3bci6ycQ2viSat79mxHWXRBgDs5OG6UmBNBKDnWLWG6aj+2I7Gi7S0TVT7anfBN71DTH48kqPqclm+9ff98l9cRSpmtJplZkkEC6JdDAmQeuYQMec7yacX00AzcFTCZ/+il1uTKKZmEq4+ZqIVk2jdXlZWush0omvgtW+4tFnPLodhXQkgZYExrHMJBzsXGAHIR2klLhSUFPWy/WlxpMlMMtiRp8FuSgaHhzbCJA1HpfBbRk+Lat1MwZPSkeM70QYE3Jm0SMMavgTEi9NeytB7iOL8hJessiyXELGrIlWhJHLVEuxbV2IJ0YMY59hLKg7dghmVkOSJbSULJe3yvx3ZaulTf7oInuqddozWUijOE7SpJhKSxxiojhBRXbMhKMSpIrZuk6nK4bm8u0jQjNEOppOR/DoMy6rA5H2BYgXxzi2ZLbpa26+JmJyymBiK2NrUqBE9rkVcahIEqcIlhPHxhGRa0dlm0TF8WDf1kvf1g6Gva5fb704wA+fXMA9t/zeB584fvvi6gDPUbYTHvAljLQk1BJtHIxO97fRFuCx0XS0BhJQhu6q4dxXdEFbF200qxYfGyHR2ZYLpM9CFUGOlChhZ+750qacPWnSLUhMOv+kYLwM3K5jO+rt1nvk4LZtXXZLFN8TeA55iall8JTFHbsnkOvEuG6E70ecWtT80eeb4Hi4UhQBZi5PxAUMXs7WZUNCLdjsYJ0wcnnn64f8+b1Dnj/fop+4NGK7Ka2tAixG3ol0T578d+WrYSmTrGWpwCs7dF4L4zgKN0mIlE532FBp4iwpLFiV5O6VTOMhRxiESVjXMHz7KzQIncdO5M9r6bOiQM8kHjoSecwQJZIgNS0yA8PGKaqYy6KtyaGNBN0hGT5/ezQ4+l5M/A+/LoP/2gfvQkrhPX34HAiRD2xUAlxtkwDZ8J1QKhKjSIyT1h6YQlymwUPiljTXi7K3KD3LtJnBRmpZtO4IcEXKysJKAUdSes6aakuFRA6lOSgW5J5TdNUXAJe5bPE9k7e0eZ4uDc6JcVP29pwIKUNOzAkWujWE4+BLKvJElr5W+i0rTkJ5LEMRCCrC2GWmHbBj45ADcwHDxGGUgJ8I3MTgxqkOj8mdpSKzqKpkkd5Q1trNeiBFSRppnESTKIlysu3LMybPhgSVga1RIpuMpfOkWzlHgUijAJFNoRznb0rZ78KE0GMevgW3DcS1VmkPryUCnQbQQsQQH2O0+Kee3Uzs6wB84cwZhICGGeJ69lxpDYm0c0s8Qz5LOjIQm3TSlBG5j5l5mxhD1jm5VtlrJeJOl/KM8azfCo4AR5j0SEGbSoDsdf6cNhg4eSkoeYOtp4QFewXc0j57GdCz4JN8e0IvbZLIJIrrWH3qeRExEZ95sM75hTruhMLLpIk0VQdl/CKXNHgxgqFI+owCO8H2jS/v8+DTI7pxjYHjUI81YZpOV7IoiCqyjJqicygLNEVuS1rrMJ2pYiBR9nc6WhArgZPIdBc7W/aQAb2aUDP52DcpdFrwZUpgt7ew/RhF/VDl65viottMt0xt5HS2ZJZn0TJ3mjKgJzpj9Ozv2lmI/dESZg2FUAH4l7/8Jdqt+iv+5ONfuenJ3gL9dDBPkoLaSWeXJOkoCC815RNTGPSJEXnWSRuR16ZcVJyUAHBBIgHyLJpMM2lOXvGWDe0shndmoxDKwM7noChsP+JaAM8Czkx3O5ksManertaSe26E54bMdTSPH66D4+Gk8sQpFShVsn3lIDNrBMmYPBu7kGUdU415/SUBM5NDOisNBrGiocCN7XdRSTo8KSoDPM0Z5L9IXljFqU3BjEqTaIGrBYmSJEqTKEGcgjyWRfGaTJ2hrFpTpgAX0lSyzJVJWWUpLkz5BBQlG5XXxSStYg5LmcWzxFXpXMWCUeiiOxtumt582yseuP87HnjFrbetDfCVbshgZL5da32d0RE117EbiWbTi9JO6URTjH0w5I0MSbmRgYLJvx7Acye1AgyTBmqUSjgL7SlF1pJWFAcpRTql1v4dVwlU3r1SADtrvrXsnWpuh1xvZ5agZewC3G6qvx0nQhBx5/0+Dz7bQvoOnkzlXF5BWHyfItM3ns0sj0YThdbUiuHI5WVXDnnTrT1+984WYeLTTyS1xBDE6UpVXjGERkiZsnj5V12MyUE7Mr2mgkRpy+IZuJXAkTIdEFQwdw7ySslE2nyRA73cmWMumsev1iUVN2EBcFk5NwWwy7U2kuEowW0k1/lO99u1jB5Yk8GPnTjN5ETz9X/6iS9+36Fj8wgpcdITJdOiGy1Lk4xM2ildYiBNuS+vZO9ftEowvQQlphMUoCjXJWfAVyJrSSsDnZTBycdDOLLE4mk3jKuq4LbjFMaYO+3Z9NL2NtfJGg7i0hEREvGnX26TGB+VZy/LAWbR15g5GxUNnu5GnA/T0dKOQkuyYNNB4PKOVw/4488ErOqIYVJjmAjcmJzFpTTpmLxMOkgQ41pUlqxJUQK5IHHS4TtK4CpN4lhCcxJJIg1SaZuul9oG9xmg86xy+hmgAnBKQL/Yo5z4y0s8dOnG12M3f0nO6USQGDvoUymJMnP4avX7dl35untWl89+fnJ6cxXgcRwRBOElwWiwZ9Dv4XkeJk28ZODOtHhSnnBksgbiUk8eWTvSxeVJHgaNdYxIquw3XpdcdJ5k74vZHtmeNCqVJUqNDbtJge0oUTgpuR1oO+5tY7JJmbsIMJ0Se/tuyOOHJYfO1jDKRUmJJzVO+aZMbcLcIRxzUbJDm2IfocKvtiCPYpc9myOu2N3nay/UiZTHMBbUpB1Q6sQiLYJKu3DiVIcjseJwXBaJseC2uH5OChylTSpV0hs2sdOAlZIV9rbMLSt1+RUGFy+uw6FUUluuRtUFo5cZPNHV5/L5MkC/P6Q3GO2JwuCSKIo/fwGDnz67QqMxYqUzRKbLfH5CZDHXophSZXLtbWSx/FWL24tE7ZoAL2m0clIkA3mmK2WJqQvJIorueUHe6ZIxebbvZXn77wzg5eE/ttueHNh5tjJn7iTdLjwNLp0IQ8THvtxgaamO8B08ad0dNa6/xwPMig9eTBYo13Hn3rRWRJHDumnJ2+/o8fjhNkFSY6A86onV4pVy1rhUyopOPfGs4iOVKmN6PJ/3WJpC5WhSqZStSLZ5W2XTgXMWzwLMcqVnORYoAF4tokt9lQrxibEVpnozVgGeafKCHLKbV5gBcbhAEo0ulCi/+4d/jpSSXneVmqdwnYxhSjXGKZtqDVqAKlV+VYFdqvO9iBWaX/hyRVoF3GkWuAQWVRnqU8wctKxdPFuQp+PanCrAPScdAORmWwemSSHH4OapeJ2+TiqHo2znzvMn4KN3twikh5IqzV5WZ7KMZzDXtMoyoFd0eLocJzap4ScOb3/diA9+bsDTR+tEymUgJV6iU/dIIJMyEZi0vaycd9Dp76ruW1Rm8gLc2aTfLN7RyCQbMVF0T+V9m7Kkxct1+/l3N9/QOVirn6DIE5Q1eDHsMxsYBaCEy/L8QV4IzqJ1IdEcgLNnz7Fp08bGL//K/9z1/P5lAmzXiKG6zVyisZNihZUq2liQ50xEKk3yqrAXZ+9s6Srrb9vJPQ5yUZEnWZ11Pu6gNP6gPLXJcTKgp9pbjYE7S9+7WWOytjND8haxNPHhxOkRodyQQ2cceqEHyknliRkrjx37XuMuSomtcrCVU+m6nPhxaLqCfVtGPH0oJNE+Q+1RS2zNtpNqcCXsZq3WZs1YU5MFmQWTF2XN2TwaJ51skDGjSodl2nhGpmOuDUVxV1ZnU7QM5uydAVyWA83sWl+IhvGWRV0JNhkrGCuVAScF0DNfPTYSWdu46zVv/LHG/Pl/MFi/YaMF+NzcHN1u53V7dm746aOHD+A7Kh+UmI28lRpkYtJAMwV6prtlBuxqQXv5Lq2AmzGJIootp7P66Qwo1eGQRQOBLRctPZeYW5ZkSXkXY1eReuEW3BbAxVCgjMFdZ4y9s75OL2S5p/nvf9ZiaVhD+K6VJ7Lk7pQH/XydjHV+rnQpuMoZ3DoqcezQbjj8xHf1+NLjbZYCj1A6DKXEy3soyzeXsfmEvJZe52W0Bp2CW2OQVJ0V+//SxqC0laja2OvupLtyZE3JVRbPPP+iTzYDe0Zg2Sqdvx87BynPFyt+Bm4j0sCSikzJB+pXRjbDcjdmdsv6nz565NADQTD685zBjxw+iOd5LM6fpVETIBzi2Jakxomxu8hpyw6Jtl9Ci5IGMuQOSs7aJfYuq5RqYqfMdqKyrF8A8NK02ArAVXXIpiqB2pESJ5UkTg7wTHPrPKh0HV0Cd2I78VWVvV0V4XkhH/myy3NH6iBdpJT4smRniqoGz77gRasJS2xejCUuQB5r23IWxy5X7Rnwnbd2+eDnamjHZyg9fCmKpM8Y2MaZXJSZfEwO5FJFgTJ2VdBGoLQN2HUa5yRSINNh/lkwLfKEU9p5JUsaPCMvyH1wUQFBgZWMzdfK8mZSJGPubCuUOBalPYCgNwg5fOwUQSyJIrsxhAMwPenheh7dCYfJlg1wglAg4wQZGSK0bbewCxyJKCbHalF8oPKFK2KJ7CSLCtrzWdTjQM8BXmZxUdK3ZYBbeSLL4JayAHie6MkAbuyc7FSKuKoEcHUhczvKsrfr2KlVKx3NX3ylxWLHh5o7Jk8uLlEQY5WU+QVdw7Yrd+KkEiWKHabaiu+4fcCnHhyx1PcJlcMwkak9KYqWspxBK+0kkLJ39iOds3kxC1KZVIcrgWPIV2uVr5SW3aU0FuyV8RKiADwmrSrMzoPJM6wiB7vIT0YuUzLJUvpMVflGDvAogTCSdpvx0Paudvua4QiiRBJG9rs6Z08fodma3Hn44OM/GQzPM9lWjEKBlAoRACbJl7UMnUIbtEiDztQPl+WLVpEk1eRGYQ+WZEopPV+AXFwgS0R2okVZnoiiwyVlbVUGtir2oncy5i4Dew154jjlpE6Mo2zm8thxwQsnamh8hLTuiSOK0oGqg1LtdslovFyLUpyvUpq6vOlTmpaOEweMw2U7QvZsGrF0oI5JPMviSer5l1ycHFSUC72yGiFZyk/ovHY/jwtkMTsyi220tIk9KQWJrLpZ+cqaB5Yp+ckCzNnnsKehQEH234zbK3NUylo8tTPjpGDwKLablwUhjAI7qHQYGI4cO8PuPXt/8tW33/Lk/gOHjjvGJERRuBH06+PREhNNH0dZ3rVJB7vFhEytQJXN/k49cmNA5MN/SroqDygKgJfBvTZ7Fx3bZbYuwF4dap8/q4LBndwHLx/pltaqDO4C5I4qDQlSBXur9L3jRCgV8ZmvtTi0WAevkCdl90SMsffXK42uWqulVHXJ683LaEOH3etC3viyAY883wDtEidWi7tJOuQzqUqlXKrk1JLZhpJiMwFRYsts3LXI4yoLbtBS5Po7ey10NTdRGAUCqU1+Y1f0OBeXbOXX4/GBKVmZScrqcQJRBKNA0x/aDX4XVxaJk+T1oyDYmCTJcce2P9khNjOTIRo75DFOrEwR4RirplkqnWXmhGXvqpYqobjC5lQCy5xhII26q/OpC2kicpDnM0HWYHBVBnc6n7DYtoMLgO3mcwuTUnCpU5DHVp6oiHoj5GsHFX/+lSbDkQcNB0cKXFGVJuMBZjnOWBPgjOnvMcuw7ItHscNEy+Ett4343IMDHj7oYZouw8THE7aSUok0P1AK9grGrILcVFZWXTg6yrJ5Iq0ezwCeM3fK6DKdmyJSR02VvveFN7v9veODPC8G8mKVKwLPLNA0RuT9x8bYDaxGYUxvkNAb2S3RR4HJd7xwMAOSRNKs99i1pUMQaZa7PqOwxkrXOinltvd8KKMplteKHXiBRClerMngmTzJASEu0HUyB3X1vQ0w0+SOzJbUDORZ2azBSccFF4cujVQuZhdatraHUjbA9LyQKEz43FcbPH+yAa6LkCoFVRZgFluBCFll8QskWXaOcu83zSHoC73w7MjswjB0uHx7zBte3uep43WC2CORLkOt8BKKz1KSCoUIqILcjH0WVHazabQSqAxcUmBUKkW1vS46W12zgafpRgf5jaXHr+u4TFkDH2uBfMw61AUMKzfSMDCcX9Us9wWLHcFSPyaMAkZhgPNvf+1PGIUu22cX+fYbl9i+oUuj0eD5YxtY7rjEic4nfGbWk0z77vJM5cXLDdZg72oDQBnkWXCZsXcebMoLgV4e+atyxs4AXkxOzSWKk80J16mTolNA6xKwU/ZOg0tHRfheyLMnBJ9/sMFg6EHTRYqscrBcE7NGFrMku8qXM6tFseiqTtfNGbzckJwWYIWRS6sV8oZbAj5174injvrgeIy0xMu0uIYoKdt22B2mU7lCUgZ7AWxjSLPXqXSRls2zVSVPrpWAnmWUhSTf/zSbMQ4pACllWOUaK/mLPMpgL2fJhbDXVAh73bvDhJMHQ+YHgi3rB0y4d5KsfgnR1zgnzkT4bsLTBx0++sUpbr9xhBBw8kRIy4VmXRQBwxgbGSGqkeNawBYX/rvMOiv0tyjdkSVgZydPlBg8fZ8By7ooxfBIJ32fMbfK54NnI4MzkOt8QGdx2Gylo2xSx3UjYpNw5wN17nu2DjUHpG1o9rI0eRnUjB3lNxe5gBdkgLPm8txRkRWgByOXV1014I2vGPDciRpx7GKEYigc3KT4PEKDTAqrsPoxqkxeLq1QqmzV2REVxmRbQVaBLnXK5rrsopQswxKTAymzmwtW8ovix1z4MpNeStgOs3YjYd+uIbt3LCHViDtuGCHYzJnTjjUJtm/q0KwZRonD3Y+s59Rdgqm6Ydc6jT+hCSNbu6FklXkh9TflRT5c5p9kX65015YHq2faW5QkSbaJVK7DZTXIzAutFCWgmxKTj0mSHNwl3V0KLDPnxDom9lmpCM+NePK45KNfbgEeSBchFK7ImixM4QdXmDu7qCI/EwV3F3Zp2VHJa0JMNlhJoxOBVmkmL98n3sEYh3e8esgXvjri0SN2kkCkFYNEpAVf6fnBpCMlsoCvas+VmbwM9OzmU1kZhkrnIJqMwUWR1DJUv78uV1KmDF7KTudBZpnBvwE2L9L9KcAVefXnVMvlLa9oMNG0N+jDh2JOLPXwXY1z50MTIARJrNk0mTBTM+lcbLsW5EsWJftrjQ91QSAliss7HmwVg2rGnJPUWsuZuyJNqhF7uWQ2kyTZtiV2e44C3Nnuvhlru6r67GT6W2X6O8Z1Y6Ik5p6H6zxzuA6uC9IpNTZUL2x5eV67k6fKn6b0otgJo+QclKsLE9ujal0thyB0uXLPiFfdbFl8mFgWD4THSIOTZH64QKSSRAiT5jIuBLkF8Ri4JRhlci0upU5fZ/JU5CxeMHd6Pkw1wMzyJVnpdRWwYyS4FuiFvTcrNmRa4GWAwdDhzHwz3f58yHV7NC+9fIQ24OycriOkIA5DkjCi6du2rZor8uW+oiezwGHNoOHirF2AOcuyFX83A3S+/V/G4uNp+tKOZdkuB9lnLLp5CnCrSkBZkiJOMV7ZUQnKKQE8lSieE3HonOAPPtciiFxouKk8IW9NU5XMYck5qSxX41euwFYZ6GWZkm3OdXEt7tD0JT/whgF33tfk4Bl78yVaMUiUrTJM0mxjCm6RpOeectBpf3nF3lWWufPPlAaYythd8/IV1aRHBjgjUklSDbalSGcKpudFZ4QnuDhW0tVGjP081/B5gswQxZJhoDB4RLHd5TmIXRzH9gmrP3n/r25Y11L/+fSJ45c1PEMjHV/mp2MVslpqpUoZxJxhMyAKCsej0M/Z1CWZjgKouiFZsChTi09WPe0xVyRvZsjA7DAWSJICtxRY5r63zuVKtdaktPtD2siQHYkM+eCnG/zx5yfB90HVUMqhoQx1Zfe6ySoT3azJOW2NKzKpF2ZYi7Le0gqUxxKF7ZhV7wlJ2nSQlaja18Jotm0MObMoeewZj1goEAojFLZB21SlYCnAr9DkWjogg36upsZljBmTNGNz38s3rF4j1iAr7xgrWchustydK5qSx+VB9n0yUsjmvQSRw2DkUJ9++cb2htd/0Tlz5sykSQbfNlGPkcquU+VkSlaCWtbAVZlyIZNX07IlLzRj6zKjl5yTIsFTbnaolqGqC3ZRy/R3KWVe0d8ZuLPtTEzO1pkVmMkSJ3VOXCfkhbOSD3+pAdIBadk779wvxwHlzwhjgKLC7GRB+diFLoBQJF6yXaGdcrOtSdP3KtXiicP33DHgk/c02H/ag3SsWqBdHGHLaPNzm+4kLJKSg5JJlILLKe+ZpFL5okz2bPMeuZQSWbBpf09mFZpUron075TPRWEHl87NOFNfgKcCK0aY0k1l0g58W0mZjZIOoxjjj76tPzo96WAiXJkw1bJ3f5L2mpXT5RduFCpKv7gAL/l1LN6MM0fW5VJOHJWXtXKRlSr9vNg9LdPfJXCPAbu8AVUhU6zmVqk1qEoSxQK7AHmiYj79QJP9hwrtLYW03nfaQTPe1T6ewSyz5jhXmsrrsQbkcU+83FWeSBKZpfCtVLn8koA3v6LPkQ/7hIkE4dgMJwJFyRdHIDFEuS4oWsso5zKMzWJnLJ3lO1T6LEXxWsg0CBU285kBWo7r8NJKosfOVX7zcyG4Cwlb/CxrrsnKexNtM7gZ5pJEMBwamt0EI0OcdksRBg4TLTetzNJFXucCIIoLPnAZ7MVzytbpDypfJv03480M1QxmmbVNJbisbhNY7IVZAbgsJXdkob2z1Hu+xUlprrhSdlKt60YcPaf4n59oM5JuyuDV4LI696S6IVaVki7+KEpDyVmzeC1YK3WfaEli0hkh2iFOXPwk5h++tc+f3dPgyFkHVITRDqF0GWqBSrIbzqQ7ppVLKFL9rarujir588pGlGkxVgrmtPZIamMBl5bZZnpcS1EBeGYzl/Md44x9AWuXXpdvinzl0JnLVnx2YyBKBJ0eTA0M0gdnqq2JA0O9JjBBWjdcytxUPlQpOLxAjuQfWoxJk+rfyQMQvh6wLXhU6X0F3JIKsDMmd1TJNZEXet1KjbkmFe87pBtqfvdTbc7M+6Cc1BqU+YCh8aKqijS5gJ2q2weuCfRcqogc6FUXJUvhl6c8pdlNqUhihy2zAT/2nT1++Q88OpENCIyWBChrGyYiB3k52EQUciXX1bmuNSiKG1BlN6AsEi9Spg0vKbhNyUUxaWeRFFnCRhSltKVzU8ZOBeTpvTh+I2Rgz3BTnnlpC7JgONJ0+jHCjXCOnQ9ZXgpZ7cW4jotSxZpRLCFlUFc3B80W4Yq3WZIl5Tu0fFR6Fi9oakjBnb83awA8lQnpBKsywMvgVul75RSsnbF5xtoqrRh0/YgP3enzvo+1CbRr5YlQuTzJmopV5XNm3+dCIigea0O8WlHIGoFaNhfEoLW+MIWv7VbgNSfmXW/r88IJj9/7tAsyBBSJkIx06qYk2TXJSlfLZczjlU6iuPmkBXr2eWTK6kKm2desbEOkoBfpzwQVDS5T7V62+qrgHdvFbYzVL2D8ccyVzvRU27B944jpmQHO80ehu6pZXI3ZuM4CvLxNdvVZVD/A2Acc/zdrgnuMuXPvtATsAuzmIuxddJeUgS3TQTU5uGUWUGocmeS6W5WDTBWjpJ01uLwCf/alBitBBm4LcFeCl07WKqflq5871d8ZMZRhXboCZSCPg1yX5Eq+R022D1I52Ey1uNIKra3mnvAS3vqaAZ98oMFST4GMQCsiHAIhqnUqlK5rSZMXn9Hq8MIutDXnpD/PJIrVw6lMEcbadyWgC0G+p5LJQS0uwANlwI9jaezzjgO9gjmsq7VuSrB3u2D9eoFzxTaXpYZL0nHwXFkEgeUvLaoX66I3wPiHEGsAnQLY1cCySMFmujsPLkXqgWc7qpUDyzHtnW0Aa18n6Y4IRSpelY4isIxwGzF3fqXGw8/U0SXtraQsFVaZMXlSWnLLgCkdFQxd8Cjp4FLCp9jL/SJVhkaiSr54nLg4OualV4W86SUD/ugzHqgQhMQIwUg7tryBLPFcdPxc8FkoREtZ2+Y/zWVKGoimmrzioJjMSSG/EcrbEMo0a7OW/hapNimfswrwL8Bi9RskGhZXJYdPtVjqT+JsmlX4ymFlIRtRuzb1vNj/tMzma7L3GkxeLpIv2NCUbMLqa5WzeBXYstxRMwburBQ40975FoOZPJH28N2IIyclf3Bni7meZ/e7lnbQuxLYrhlhs4OV2pMLDlEB/Dh7jz8qiR7GJUq54D+VKUbn7xOdgjyRKGm3P9nQTPjBN/V54BmfI+cliAhQaCQjIVGUM62mSmIlkFeY3GQjkVMXRRa2YaZmMgcFmQJ7HOimZFeOsTn5Z8mY21RZO9cqxa13MSxmscFgkDC9kBDoBOeynSssNHssnE1Y7rrEydetnxpDd/HyxSye8SVrLWCXgZ85KBmjF+DmIiy+BrhVWW+XwC0THBmjlB2iGSSa3/5Im/ser9veNulY7S1l2rVTauwt9SBeEGCWz0OJmfLzM3Yxxpu08yAvBU+lfNaU9LfRJZArkkQTSwcVO7zqhpAff0eXX/htjyCWNgOlJbFwGYoi22gZ1FQCzQtAnvmEQGWz3zRDqozV6MakFYQmCyzNGNBTCZMX05kLiA9K5b0V4BZsX/6Ua0HRAEmiWVwNeeFsyMQwwnnmsGZlWTO3ZLODZT25FuOUX691J60VEWcgHg8wM2lSdk1kCiaR6d0SuOW4eyJNPjvvYuDO7cDcIiwFlzLG9WK+/KjLJ+9rEIQu1B2rvaXK2TvfRq+cgKqweDnQLuIUQRFsr3Uyy+kWm7kbK5vVZd8XO65MSlQi0bI6PzvbSa3eiHnrq4bcfd+QLzyqQEWWVbQkEg4BhaMi81zg12HyFMgy9dZN6n8jRQ54LWxiSBiTJ3oy7Z0D3pTAXTp/sMbzGgRqXgTixWog2DDjcMUuwfQ6g3PsTJPVlZDFFcHsTLo6j4G8XIRTZp/yb68ELmWgy7L2YuzLmSpjpz/LmbIkS8rSxN4EumQPZlNQLwS3UgkyZe8M3E4Kbs+NWO0b7nygzsFzNfvlhS2JFXlih2KCVLnG+iI3a+4GXFx4V3FuEZJ7zZUhSmlDRD6MkmqteMbiUihkopHSIQoc9m2MeNOtfR7e79EJpQU4qR7HpvIVVMFtLgR51oyRS5S8OItUzKdBZ75S2+9vBEhM8fOsYtSU+zZTK7FMiKmsyT+BKBBYtq7HR5LYf29lkOsqJpsuOzd4zK7zcCZbLiZ2WPRl2tZlnYkKuCvLqMiDojVuo9Kyc+EyVGbzwj0pLfnpz4osoa6AfC0Nnk0+tSxeli3FXOtKaj5jbidGk/CHn6nzvk+0McKxvnfqnFj2tvKkYmGmnzX/PrIsSdKNUhGV1e1i7H1hi1bVDy/3bGYNySa3CnU6sFOhpc7lSpS4SKV511sGHD7r8r5POkRxWmOgJRpBICTZ1rGFFjYIPQZyIwqJkv+JZeX8cxtjGV1kFacW2CZdKbLUek4CFaAXIJap6V2xVyuNmuQ3XOE8VfM12fiMYQCrPYXyFE67IdChZKIlqPu2b1FJU9zYFLNPTGrqj1tc5UdeazAG7pyxRSFHxoNNVda3GZgFVoaIErhVaX96WaTjpSzr7kJ7O+VsZRpYul7E4TnJJ+9p0u+7UFcpezsFe1fGQVTHy1V8/NL3LP/g6yV5snO49lHKYspyjUq6t2ZWzacFUkuktFpcCjvTsNVMeMttAz53f53D59L0K5bNYy0YIWzgrFMmzz9rJlsyli7Egcpxn0E9K51NtTgW6FKC0ZkOF2kXjsndFJnLFcim0BYeufk656k8V72YoJZN00oMBKFmpRujPI1Tq3mEDYeJhqFRT1Ap+IraZJNOFLInV5QvwtjVqwYN40s3F7C2KEmTavBWDSgvkCgpWxd71I+DOwV0yt6y9DMpE5QTEUSaux9q8qUn6uCrNLB0rHMiC/bO/OPMRRkvBb1YtvIbCtIvJPbKQcVJGRsQnwWfspT4EQqp7REFitdcF/Kalw459VmXQEsQ6RQfBLFwGOpSnFDi6HJIl8UHTiXwLBg0S9WjiwC0YO+SJSjs35eZhMmkq7EnL/PRs4Azu+Eyi7Ig2GIQrHWWMplnb9JQGoRIAAfX8XA2bNy26qrh5+Ku/DtCxOn/NBt4n86hSAeuJGlDadYESvH/za9q1Roc16yGcXuwAuxcj6fD7pWhqEUxedloBvIsqSPHrMAM7AXQ4zSwTOcLejH3Perxnt+fIDEOOG5aMegg5FhRVW4NZh64qQzsvyArKy68yV+MvcvslAEoq3WuJn5SmSJTYAu7xYfJpIqWaGG9cakd4tjuL/QzP9zl4GmHex+RaK9gcaMFEYoRaXOEIU17F+w8rsmVMaRDam2wKVJuT8dM5D9La1ZkahuaUiO0SWeJm6yWRJjMKLFkYUj9xQvPVQZonY4UjLVBJ5AYOzvTAl3bTXz9xud2bN+2qn7ou1p9x5w50mzEP+6qAM/NqvAKrUn+tUXp64oKoIukTSkTmR+lSsDyAPtstzC1hkuiqpKksAUzt6TQ3ip3Sopak0phVdaKpiIcFXF6RfCeP5jggSeatrtDejnAHWnnb/ul0tgLarcrR9q+pUhr2kvjLGSp5l2N95WONW8IW6IsSueouPlLGdPSz4U0VfmX1Y9n44yNYd1MjO8YHn7aY3VYqi1IfRTN2ICicvxQeb32uiQu8mc5Pkt6fa1/VR5fkS8SRlR+lGv9ErjtWEEIY0MYwSgyjELoB4bY+Bw4uvCDX7j/mYPO+ukeQgjiKKY/iIhilzBShJEiiFReLKPTJFBRM1A2CqszL7J0cDkYG2dtsYYsuXC4Y9UizHYQVmkCJ2N1R1YTOcVR1d1KxSR+wh98aoI//0oTUyt0d5m983Fs2ecdazAelyd5drekwcUF1/NiVC6q0wlM+Xm8477UziZLW32YsRoVIZGJIhEOcpjw1tuHPH/U5b0fcAgrUbHt9xxpUQmMq5AUhT0nLfNmciVviMiYnDTYTG/GLCVrZLVMOuvwzybQSkoa3Fyow3PNna5kiTEkiQV2ENktXcLY7iM6CAUylDiutJNzlVpEG0G9ntD0Dd1hgzB0GYUOKnBtCWJcfPlyYFkJTkpLdEV3p0xTliOFk3Kh7q5Yg6IaUNr3usri2fsM3LktmCZ0VJxXDCqV8IVHfX7/s01GSToFXxaJHZVKk1x7y6r3XflOax0Fvi+C6wtZrlAmaTA3JltMCdAm096ylACSKbiFsZZhItFCkQiN0BqpHXxX88Pf3uerT3l84QmZuiCZfQgJDiMykJsS1MtGXFG2ESNQqQ0IqS+eTvaTWReyJq88lNqC2mRaXFob0U7GEmlBlqmco7WSjfnUXGODyTA2DAIL6mEsGMSC5b5hZmrARG1AAjj/6ncm6A0drt/T4cfeuMR02xBGDlHsstqrE8WS/rA0QotxZTauu1O2LhdOVcBt/yxzRUQOpCrgq/530bJVlSjVI9u01Mk2LlUxUiZIGaOciEEAv/T+CY6e8TEZuIUFtxAi3YOzyKCWN8G6QG+vAew8X52fmHFQj122vAalYO5KVrPkhVd3PqjuXaPTGmytSwkgqeyuxtpBhprdmyP+3Y90+OpP+fRG6QdPA07rrChGkNqH1dW5AvIMzAhrIabBJYL8z0zmgZMFkNmvSQWJtj+XaR25kCL752T5fZGuDONkkeEJA2EMK0PJwlAySASjWDBZ7/ATf6fLy6+E1T44+7bsYxR6bJ4+D7rHRKvLqQXBmXmX2YkRvucSRHVGod3dqtIMMabMy+Bey+seZ/JyYFndPQC7P6MoAbzkmuRAVwWoZcbiyu7Cq2Sc2oM2sIwT+B8fb/HEgZr1vNMeRqTdQVkJWzFoEztjQaUos/gajJ2/L288lXHOGBOt5YIZSlqTYuvF1BLTpQlY5eKr6i5tEpP64UJIhJZIkba4CQepNddfFvET393h1z8ySZhkLC7SDgKIjWKos899YTlttsqokquQt5CJzEUpPacui0zv+awDX6dNCibryDcm3VXoQpAXcZ79pTYOsTs1DyLom5Atm0fMLQh68z7aVxhzCVq30SbB+an/541IZ4LR6kMsnXmETzwg+O2/mOTpAw3e8sqIq7fbPcNtP2ZJYmRSrnRniRzcY5bguNc9DvCyRMlkiSj2ZCz2aizALVXmniRV5i4dMpMotYQvPlTj9z7eojN0wVM2oSNdEA5CiFR7l+tfxob6jHXuVMs+SwF3ZUFd4yEKth7He2YNFil7633LtKPdlGSKnQKbFmHJouPH+s12K+xEKPu5tUHGCe2a5kffNuCx53zu/pqCRlzMc0ghHUlpdbBJHQ0zngASuQ9uP27B7DlCs4I9STpvTRTvwW4Cl9WlS9IBQhbk+W8pnbysdbKYlyNoNRzWrYu4et8Cb719hScPwu/8RZOvPDmBaH0H63ZfCyt9HJSh3dY8+4LmF36rxWMHNhJFPhMNePx56K0Idm7WtBsKP92ZTCmTt/JVLMGSp52BuVLfPQbkTG+LsYAyZ2lR1JrIMebOZYko7aWe7qGe63AVI52YA8cd/udHWxxedG3BcJnBhd0uMevWKe+UltucVBl8vLm4HF+WnaXK+nqhWVApgTAluWLMhTIlS7DlpbNapL2QqS4XBfCTlL2lLOpUEuEgI8Oe6Zh/+PYex+ccDp0RGCdDnv3QxriEWpTYm1SKlEAuRTEoUFrJYdJ4zGQ/g2xac14gnk5rzhldYPLVIwM5mYdOtlNFQSLZxmK+q2g1BXu2wN7tM6wu17hu95Bf/4kRX37iLFNbB4RG4vsa55mjddZN13jg6UkefmYjs22f1oSh5RsmG1D3JFFkJ1zlFpcsLkB2HspedyFLSm5J2ePOXZOLOyZFut1cFNwZsIuflRk8xvMj5jqCX3r/BJ/8csPqblUNLGXK3J4oZVLzIPPFSmMpWu9KWLiYV3LROqExeVIpwlojsynLE1dLmU6Zdv8k2hJGIiQisQyutbFsnmhcqXnr7UM6I8FP/7ri/KoEP7K/NGVzIx0CXYZ4qrdNGdj2tYFUsohUgxcOiyyxukk778tMb18ahEnlSRaYmkLmZJ8hs1Mdle1vKhgGkrMLTYaBS6dfp16LeOm+PrM7HZozhiQC2fYVE43a3IaW/Pyrr5picztitq2Zatq5hJ5j7+7xVHKxfJR1aAnclQDyQp19cXBrqnsxllPy1YBSjgM7TebIVHeHaD79YJ0vPlIv1ZpkBVXWFsy6dfLtCMsr0RqglhQau8LYlKQK1fNTYYILNEn1dRFwCiolqoa8274YClRkObOjYhvmDcrK7lGvHZLYQRjJ624OePPLB3gihjgGE4MuDmMMoYaRFoQaIi2I0uRfnM/pFpWt3ostybNxx+kW79m8xSwDaYo/y1Pu5VS8ufD8ZOc3G18CEEaC7kCx3PFYXK1z9nyTs8uXstprfR6ac1FcQ/3W//wNrrzmJauuEquY6O8tLc3TqjvUfUHNl/iexPNUaUPV6tDLbM/4soddNAqbfJZJtVCqSMFnSZyyW1JUB5aCSlV2SkpZytJz5p44KiaRCX9xX53/8L4Jjp3z7V7dIu3UUekoiFJSJyuLzWaf5EmoUpNzMS6uPCOx+rqYelsebjQ+IZe0W4ligFL6/83e50mdfCW5MLlT7Wut7k9ZyKTxqVt2d+WZdsLll0ScmlccOumgzdhyJKwm16nmzYvISgFfRcaU7t3qn5cQWnk/tuTlv7f4f+RlEKXEmR2kJPPrAfaGjhPJYGRoTu7B8ab+xflzRx7ac9mtdo8eLx1CWfcMrZrA8+0Owb4r8Vy7W1l+YcpslunUi1QG5oN6xqRHJVNX8rgLl2RMd18M3FKjRMHgmSXoejGnFyW/94kmB4/40CxYO5MmQggc0pS8LMmSkvZe0zUpafLsfV4lJ77ORb2IaqkmeMzampzyxlGlIFTbG6lwVCQy6+nUAiFlmiCxzooNPDVRoLlsd8wPv6XHI894HF8QBchk5qxYgyEoSZLcp861Nbk+z2pSrESxssZksiPV3zarQ67LKXWQCVnMwdTpOObKpKx0BUi0IU4EYWRxibHbm8Rxgt81OLWIOI6BdBOqG66/gmazTqIT9h88gqsKcLuOTHcMrg6+LLKSqf1Xai8TOZOPAftiCR1p0mDxGwV3IU1kVkCVZisdFbPcE/y3P25zzxP1tIGhFFhKp7AF04KqalEVlU6dqt1ZDSzzzFxOPtYH/zq4roK8tAxnhU1mHOSlTKbMHRQbeIqSJLGb9Gasa/1xqQ0aQ2LnVFlNLrStKxoYbr8+4B+/s8t//MAkK8P0CxlRmpaJHdtMJg0KN0WsAXJk5pLYv2NSr7yyyVt+86cgtwuNvX/SvytSGZNvdiazHddsFjOKydvgMBKDRkmHqZmtbNx6BVFodzuWAJs2bWT37r13Hz0x/x7H9e1o2hTgnivTGYVU9mTMmThfLgu3RFWAXA0sC3CnOrpU8lqA+cXBnXvf5SbiVIMH0vDbn2jy/o+36EWO1VKipL2Fbaz2BPgimxJbAnYl27qWDl9rkFFpuS6tvN840EWVxStgL46c0TV5NWHFaSm1tmWMng8LKh2JdlI9rmg68ONv6/Gu7+pSN7HdcFLHYKJCk5uERMPIQJBr8nSfSpNqcpMW5+lxXS7SPXXKpQbk28BnBVSFhi+7RVlqnoK5tSZONFFstygJ0h3WwggadR+pF96zb9/eu2fWbQDSEt///J9/hVHkRWEYXKqk/g4lE2q+SgEu8r3ds4aIfLhOplVVmvlTazkhF8qSckBZcUxKiR3n64Dbgr/kmqgI4SU8c9jnP/3+BCfnvXTsWuF3W+1tbcFaVhKba++xHRvy+KIAenlXiWLIaLaqWX2Y2VnVIaSpAyVKxVYljX3Bc/nmukAWrlVolWnvYhvB8S72bK+eirWZkm7NTVg/pXngaZfziyp1L8Z9UNtRlP1ZaREr/pv+E1O68Yu/XXWb8lu7pLmLWpXS7xClGpkSkYhMrqVEoLXB93yAP372yfsfvOXWbyskCsD3/d3vpObX+NrXHuTpp5+g5qvK7sDlqa02KCwBOtfdFzlycGuqbsmYJBFFdaAcB7cogXtMcysZ43iap4+4/MR7JnnmkI9xM5+7VFAlRFpvUmjvsu89nrW8oI90TGeP6/PqBSqky8X1SfGcW4W5dBGV7RkzOWNb14yVKsLk1qHV4qDTm0qbNGGjDVpmuhwSIxHapBJGIdAkoebqSyJ+82dW+PH/JOw8dK8sU7II0iHWsipJchlSSBSjsxNSTgCVLcZCroj0vdDVUyNSuVVpq0uyVc5uopXFFlpLhqOEPZdeyo0vvYVRMAJ+qgrw2XXT1Gp1Jica1H1Jw7fAzscVlwBdnglYzAmsZiUv1NxjVqD4BsGdJnPsvyk0tyz53Y4b0zPwW59s8uTzPolSRUApMw0u83oTT1DpsRz3vV+sxrscWBassoY9SDbd6sWFSiWfkMuSUnUe6R45lQC0qE/JirGEsLahMDaoFGmFoBQy9cHTsgohrfcslNXhaaZTJYbrLw/5f97S52d+3aUXC4uOkj+eBSFxuqGsMHbPVKvHC5A7GYDzKUAXB3kG7OLflx6VBFMayJZikiQxxNLuqGZ0glA+rYlp1HCY/y9ygCvl4Lje4UajcWRmqrEHM8J1ZK5J84E8iorkKIO7qPgzF+jwceZWJYnyouDO3BJZrRJUIms9Sxgk8HufbPHRLzYJZLWIKq83kbJgbznme6/B3tlWGbn3TRX4FwaYY8voXyrSLALKnNjzn4kc2BqRT3vNQF+0cInUeSisvSwAtUCUacAmSQQ5iydCkZXneSLi7XcM2H/C4fc+0aIfYU9Y5nYUdy+JlATaWni5uzIO8jKoXwTkJvt/rwHybHXIanFkqtulLm0xGSVMtOrUavUjvu8djuOouEeyF5s2bebowa9+ftP6xod2bpui6cc0fE3NM/iuwXVL24GkLF6RKyVwfz3m/quBW18oS1RMLzS8/1NN/tMHJphf8tJMZVZEVQBdirSJIS2HdcpBceYGlVh6zdEQJUKu1KLkN0ApwvwrPMazmXYZHkvfl5Ih5b3tK32cRhYjmPOkTzowyMh8OpZN/ki0SUfAxQ4bZwz/9ke6/P239Gn55aCzlAwyCUZrYgMjDaGxSaAoDSjjNBmUBY9Z4JkHk+VkkCn/vXI7WvqzJAsu7es4NkSJIYwMQWgYBZpOL8KtTYKqf+jzX7z/85s2bb6QwQEadYXn+Z9p1s13Rm15nTFJpT0tbztLg5yc1cdkiforMnc5qMzAXWQsk4oGlypG1hL+/LNN3v3+CeZWXJuhqViCKvW8M9095gRdoLlLHvdYcJfP1aN6I5QyE/m7ilQpMb0QF4K1DO4Kg5dYfPwo2JtKKa0tkrLspoVAZM9Y21AKY+3ENH2vhUFolVeGCgxRaNg0FfNvf7TDUlfyoc+0oEYhVcrpdyOIEYwqzFxlcpXr7UKjv5gmz1jb6CpZiLRxQmBljcnqwjUIoQginnRc/zNhVBXzsvxm31Wv5eShzz1Q93qPTk0kNOsRvqfxXJ3vM1nZTWFs+Lxcw0WpZihfnLnLIM/fl5uFS505jq85fNrlj+5scm7etdFwRXNnyR2RlsKm+8qPdedISo5EDu6xysGyPViWIOPavLqKj1XEXYS1Mw1uSpYfRRrb/h1RWIaUt98uJUIqLE7O2sWE2mxLwvJMFVXd/8ekc8dDxaZ1Ce/89j57tgYQJKCTiIXonwAAL3FJREFUCoPb1wnGmIswubA2Ysbc5i/P5Ik2ud2YsXms7YjkOLb2YH+k6QeK+eXw0T/+6BceeNtb3lA5v874Cb9k9xQISXdpjrNzCd2BJC6XMVJuPdPVEti12LxkBRa2YNGdcyFzV92TciJHpofjJRw56/D//s9JvvxYHWplSVLtkJcpuAtpskZSZ8w5qbA5perBXH+LQpeXaVtcHMjf0KNcg1GqAS/LFhtIpj64sC5Lxug6DfqEsGOOM2/c3mAy7aCxDbqkDeSJUKBNel1tMijBIEZwxw0Bv/gPV/m5/znF0XOAS8lBIWdjI9UaTE5Ju6c15GX3JTtP5b8viv9n9j4b8Jl16WfWpsYGmZ0BJK7Png3b0dpccEovALiY+A6kUuGRA33iwcmiVw6TX7zMV127QrAsUy4C7lKNiVwT3GnJq0gqzomSCa6bcHxe8fO/NcFH724QSsfaPelEqiK4lLk0Kc/2Ltd1VJovMhDLEiOXgVvG8RiYq+wtck/3LwPsckVh1TKsAv3CRFAmW6xzYqe9ZmC3gWV2Qxhh2Zs02LRuikBgZQq6uM5xYvAdwzteNyQxgp/7H5OcWBDFJKQ8MBRrgtyMgbyS0cw298klyXggSp7CzxogMpBD6bwLQauuedUr1vP3v/91YRzH/NYvfR2Ax2xkst3+Kad23RXnzw1ur7s9PNeCIruo5WrBilsiyu7JNwZutQa4c0CLjMXToNKJObGg+Jn/PsnHv9C04FYlr1tUa01cCb6gmD471sRwYSB5sWlcpU1wK3KkuhlANQj9hrFd0d+VH46l6zMZY1P0aYWeIN9Wr8hoktanmJI2F3YshLDAT7Kyguw7avuLElJXBYcoBpeI7339EEfBz/7GJCcWSro5BzlrglyM1YxTArmtXTeo0o1idKrZ07oVU3otRabBRR4nucqwfVObm6/Z95Vtm7f/1P+vve+OkuSo0/wiIl356ume7h7f3eNHI4dG3htkAHGCk4Q59tjH4k54drW7gr1Dyx5IOvZwy8KiBbScbh8rQCuehJWQEHKDHCA7o/E9VuO6p111VWVmxP0RJiOzqntmpBEjsRfv1cuqyrKZX/zyi+/ngNGW40uzT8ybXcbap+4fq5Ty6xzHjRMKkg5vpe3AzZIFZRbc9BDBbRaRhEtKouRA5kR48QDDp79eluDWvQW11c5Yb0rlFdVpQ01arLd5nKYjhpOTtNWwga5NiqUYTpXn0BbcUwG+1Zrb7nzS5pZJZcu47U0up+LhQtiFO3VjK62sJCG2USxbhF954ST+7ppR9HaEQJxRVbTKwmV/p6nUlZgTRCJx08fm+XSobeLGh+HsXE9oxc0jVQfFcd2Ysvy6e+65d4yQysEBrs4X4mjsmu5O75lqKUI+F8rqUdbJzsaaTAfu1kXmVJbb3hcZtYSxGLEDfOuuAn54dwFNavNsa1Gp8iup0buRqgybVk3SMSftqp6acr+wrLoN3JSaYgN+agC3mm7rKYNmkkQk2QqKBr0dYccTZcWkswkr64fb8eJqkSl0W0K75ARLYlWELR/KFuJOBFx1cQ1/dvkEnDhOYshbQB5PCfJIpOPJtcyZArmKZ0nFrmT+f8yBWl1gdJKAI/fM0IGxa6Y61m0BfvJp56OrPBYv6JsterqGkA/qppyvvDykKUmLzs3a0RJ+UFqS1rnl1mEx4AL3rM7htnvyaGid215M0gzvpjKQqnVhmQ2LtbY0ba1TgM4oKpjiscG2SCbGoYxWbp214CQDbpFYZCRJELY2nrba2RoqrbVU5ARg1mMmC3vGDmLuII4ZvBh42+truPD0Gkgct7Hk4bQgj2yQK0seZSy5BrqtuHCuSqxAn0OCiabA/skI8xb0iR17G/ElF1/U9tg6Ux302f1noNGo3fbT3z+xpDYaFkp5FzlfgtDOobSz31OxJia+O5MsnAK35cgxWwvcTgTqCvz4kRz+8qsVrNkSyIRh21OZoiaJK96l7ReWiXaf1r71LaWFoz33Nvw7s9UzIvFwttEPLQNurDbRxppIr6Vt5C0ObtoN6oVnZhIYhUU5gzT/hvZmKi6uF6ACwlS2gqDKba4/zboaaS4dAyv7Q3zxYyO4lgI/fTgvrzYaRW05OVp1cp3QKyTNtTm6gH6vimlR2jlV3J0xgoJHMaubYMGC4sTll558m+/n8BeHY8EBoFDuF3fevfWrE/F5+zdtL6FWl5c0YhwlWsO28iVTUYI6830qteTQwH3nQzn89T9UsGaLr8Cdsd4G6AQO0fmVIunKQBJq0sLBjfVO6Eo7i63Vq1T2vE1Psjg+iOluy70tKTAVNitIGvBARgNPaIkGvG3Fk7Q2al3+aWLFhc2/kzQ3SVeYpZcrTt50sHxBhJs+PII3nVWTVCWOp7HkrTp5JBILbsJrLattKEtmvxDynOV9YF6Xhzede8p+Vt/41cX986dkg1NacAA4/8ylmJgYQzz+DFxnVPV156rEMjdljUlGOTHWmxzEcrMYOiueWpzbYRGII3Dnwzl86h8reG6TryrA2pGBFthVlKBHkyhBUzSTZhaR+j6stUQGtHZZtrYUJQNmknoiOw5OVVpUFFjWm6StN1dWOF0oXwdc2Tw9eS0X0vvHlUdTCG6suIpwUaqckDTPUkiIKpps/8e4KbCyP8LnPzQKAeAnD+flDl1fORVb4kyhkytVBUgrLOoA63orSVaPXCO5TJZHngwDOIUl8MulaY/ttACvzuhtNJsTH1zU3/2D+ti+QjHH4bmxKlesItFIWkkhqdSzgzhxSJzm36qOIByBn/4mh+u+VsHzm/0MLcneqPFUehnO3dZ60wyQkYA469BJLSRTgCctQE8mgiIsU7OTNLD1HeuFiSRo0RBbKlTNqNL7df94obJjiAQ1UeBWWfFGMhQERNVWIyqfjAiahLAm00zRFPU/9aWlAazsC3HTh0fBOfCz1fnkUqffamna7XXyBOTCoiiUA4yocGECxASgOnFCCMQxx8qOngkhxAfnzO5pvGSAEz7E58yZ93hH6fTRrc//rkBJaE5stsJVcqmfjnNnnDhZcLMIYAI//02Aa79SwZrNfqZ2d9Z6E7OoNFWpKFLueLuAprbcdjGfVDoazVjvjNU2/5ck9+2teU3LnamBLixwGxCTDFUh7Rw8Vl6mAp4UAQi4TvlSerncr0Nr9TXFXkNIZKbVIGGeIwQpx4wZTWBFX4gvfGwUAgT3/CaHWEBactthM63HUwKbAQAncDTgMwt1AQAhMAaCwHNx9rnnji7o63t8+4vD2V+VGnS6naVKF3L5yr6cN3HlvL6lYWd5PyqFGgIvtCx5lme349xxG3DzFsstmMB9Twb45JerWDM4Hbgd6Phuzbn1olJHCdoNW+16J7Ys2OLosQBsrHrmeQ0AHQdux4NPYyqm29miGBpwG5DbCcfJvnSd9mysSqKgpEu86X3UekxT5SeynDyOmeHlsjenk2wbDMvnh/jSx0dw3qpJMB5l4layEmLCyUNLXYm1qpKJV4mEDIUZDwn2TlJsHYpw4qrjw6Hx+MoZ1fK+3p7uaY/ttAAnJIBorkV+xsIddXbMpqe3BmDOAeSDRpJiZsCibzy5tfNQGnDrwKlQWm5H4JePB/jI31exbtBPgqey4CYJuNspJilqQtPgzoI8C15jvdsA3aYn7Tw5tqx4yKPt0iixn3YRoNRzGS3cFEVVFjpVGMgu2pnqmmyBXy8+LeePyeOMaXqhqUDOY0c5hBzwJsOSeSG+9hcjuPCUSbA4SiRE3k4nlyBvZCREE5SlA8Yg/0/ICUaaBJPRBC4+o4k3X9i/aWH/wI7VT29FIee+dIBLkDN84obHBv/lZ4X33bfmLDz8XIx8EFuZKHY9jqQSVavubencLEqycTypc9/7RA4f/2IV67b5EN404KbUuOE9m5rYxXvsJI22t9YmUlPd7NVVW4082W3wSchhwVweRUsFyYbNphaTaKeLt1FWLA+nyDhNEuDbGjiF3ZNT2KqKsL2dliU3IGfgTYbFc0N8+RMHcP6qGmgcA82supIGeSiAppDlmLWiYsue+gAQQtBsAGcsG8IN1/TjzeeMvu+43jsGHXZQ+E7PwQGAeEuwffckZnYGu+68u/ng8LYnzh4aCdEIXWO508VmEqrCCAclsbHmLANu14uwdZhi9VM5XH9zCesGAwXu1tgSm5a4qtSazopnNrjtWohTVIZtly1vKlaRNHjb8fCUNmi9rtUO45BNOtGIJjbQFdcmFvC1Fq48nW25uK2HcyoXmJyDUGuimFQxokVntfikIKrRbHoG2lNOGoaYp/8BDYGl8yN89ZMj+MzNAo8+lcPW/S7gq5ekArQIBGUIuVoXaYVLqHWndZ5cwjEj4FjeNwPFGSc+CPcNu+CO4ZSV5YMeV3bQVwD44t9/Dm94wyVDHaXSmEdzV+/bvQeex5LFm+2ONwXprS3TlV5ldCBjEdwgwvqdDj5/cxlfua2ErXs8VbN7enA7KoAq4d2qaKYNdKsUREtWvKEubaRDStLPWZWrUvtTr02qPennQNJZ9UlV1PbyY1a9ST2GnpTJ+9p6XM3jdOZRKozXVn7UVTdxTNnxNJaEpJ/Tzhl7Sur1h3YWAUBMMHNGhHNPaqB3Voy1G1wMDROFNOsz1A+SHSH0MYJq9pVUNHCZQOAI9JQiXHbeGVjYv+gvdu7c8tDMmYsOyXAc1ILrsXhgCfyg8viufPyjvdv3X9FsvACHEQhrihDNwc3C0i7rEBne7QYRNuxi+NtvlnH7L/Ooc8eSAtvFmSTgNnIgTVQSx9a9iRXrTVupyZQueZt7T7E15zXLtdta70M03QKJhbYfZ1+mLTKxVRFhwmMTCiOU9IfUwpRbXkaZ9SMz8LVVZUQq4inpg6pQPmPNrUBt/f9U1SrzGymAJtDTEeFdl9Xgu8Dffr2MjTsB+AItUYjCQSwYmkoadISQLcJhTWbEOP6YAQwMHPOjzq5jH6fOyKHC9tABPrO7C+Mj2waXLD/pY+HYk2z8QHC5wIT6u5qmcFXlKp1XaRIVWAjHi7Fxl4Pr/6mM2+8toE6YqhuYdb0nwVPtwK0VE2YB3SRBZxeUuuJWu0VmG7qSCpO1QU3S4G0JvrJeezgYN69to4cLFfZqB3AJoQrPtwRhJVGHnMvDydULiHHlSxe+wav6vdJLb9VY4xqBgCktZX4BTe7ql2XoiqgDvhvjygtqABe4/psVbNrlJ0kTim7pjP2IUoRcnmObDXEuUCjmUSxX7zrrzFUf27h559YlC+ce8mE9OEu3RrEyD3t3rN7aO++kZ8uVHhBE5kSbwCtLPdH94GX77BCOH2PLXgef+UYFP/xlAXXYyQqakqgCmRa4dVy3n5EDjWKiy1eo52wAZ6tuZaU/HXPSkoeJ5D7Vl/DMvhSI7UWnODxsG0DbN9s/bwHbjhM3i0ikrbhJe7OCrmS4qdUtOauqiEzUoaCZxySV5tYiIarFppQQHXDuImw68AVw9etruP6DI1gwswE0LHe+dumLZNEZqqq1+u83wxhz5/TignNWPfuzXz52WOAGDsOCG5CXZiFXmn9TfWztQNgYfhuP9xnvJTXZ7zrcNelNGQmOx57x8Y1/L+IH9xbQJCyp1U0yLviWyMA0LXEsfp0q+5CpmZiN9W6/wEyAm47/tglrmpbYseH2Nhs3SyxL34JkyyJnn0stNpGmJ223Nh2x66VAmMUmV5cIIlTrEMgJbTyOgLLEspmINOCanliUJbv4pICI5blITULI34cQcJ0YV18oLfnXby/hdy8EaMT6A7RZoIjB0CQEHhfyawTH3FkzsHxp320XnHXCTWs2bD9cuB6eBQeAfGUAuwd/PFLp7HtPGBcfImBJT0q7bgmLwWgIx4lQB8e//DSPK67txG2/VJk4jlVSTVttC9yUSBkwICIpbdwG3C29JklWHmwT5z3FAg1tnrN5uC0BToFpTGm7berRZrcN9Fa5MLHQAEnTErPPCqyyZEMTF272ZRpZtXECxVyVneBUatItUqJOVKaIp9DJYx1my12EkQsWM7ztwknc+YX9ePcbx1EgOnEiVLcIQnA0BTDJCRoxgeM46KoGDy1b0v+ef/q/d4+sXLbgsAF+2BYcAHr7r8DQ7idqAysub47suAU5Z59UDojdACqE54eocY7v3lXA39xcwYFxN6lbQjKKCdElH2TtP5fImt26KZStlkgQ2+Buk5mTWVS2C6iiGadO4tHMOnsyBTczakQKwy+Bf0u3dGKVdSttYe0z4Lc9l5qHW7yVA2CpwvkyJBYcqjwxzGPzoVTvV4tRCkAQMA5wZbmFtuSyNVqbP61UEciDZBcOZXpLCbqKMW784AEwyvF/7ixhokEk8VZtDWNOMMGBRiPGrO4O/Nm7Lm9SRmpXvuGylwLVlwZwACh3LAbAH3PFCadv37Il11OJEHMXlMjOwq4bYuNe4M4HirjhOwrcTtYjme50RjJRgTa4qVFL0l0YsrVNmFFJRKaAfBbgGd4N20qnrXZKajMPCezdqfN9yMg+yBvsaEIklCQFeCTURMpuQpVZBrgCLqVCVVFLgK45kIwL5+BUBmdRDXIFbBvkijcYwOvfJMkQTa48VNZLVJqp0u516hxFtRDh7943isAVuOvXRWzYC3kiqAMIB4Q3saS3iUvOP3fy+JULH2P0sInGywe441UQRyOfFoXLxb1Pb//Epcf9LsjlKHyvAd9v4tE1FNf/cwW/fjqPRqzqlqTKOiRud1jaZxbcWSeOLf9lLbcN7iwHzyoohLZ5zrLeGtDUKL2wYJ0GPJC27Mg+fyj41g9EeocN6CzvloGuIvEqE+3wkR9AuUzU1YkPyfMqupDrGt8UFBwxkRaYTQtyQICCEl3IW34xNeGGCtBUZhsxdV9WKddAp6jmQ3zug2O4+IwGrv/nKh59ngIkgO8CJTfCX717Tv0Nl579ZdfD31TKxZcM8ENy9Ew1PvvZG0X/svMe7CiWWd5npxe8IVYtjeOxtcBffaOKXz1ZQkzchG+bm1ZNGAiVlMSjqpVIKuQ1AbfzEsBtl2RLyYPKOdMKfGK9JllsJnKj/b6kvYZ5HfTrbadOxsFD0t9t83+qr9SZtQBgvR/WOkABKvtc6kpku2+s2ZlcnayoQpt+pWZy6/2kzpc1o9WaQFvt1FZTFtnjGFxQuAxYPD/C0nlNvDBIsX13gJLv4sITZzfPOWnxTQHd83dz5h8fvRyMvmQLrscZK5vNUMy/sezubR4YXfvZW37h0zseruD36wNZkIdpbs3kfFLZN1CA0GB2qYCjHtsJC3YWju2JTC0oNbgt0B8+uC3AmStixruXnMr2wVVZvnIoI2utM2qK0GCzuLatIBqHjo6zVmloVPXPlPaWqKI40sOasuSagwOSzsCq62P0bRV/a9ov8ITKUAqhuq0JClAVJ6BTzgQh4KCgQgbgccFBOQWlMmCLRTFOWx7jKx8dw22/jvGL3/bz7t7uzxJ0f/G+xw40Xy4+D/d0tB2D62/FzI7gmJ89vPOpP/3M79lEMw/BhOGFyQIysYiU6LIOrfHbqbLG1AI6TevcqT7yLxvcllzY1tJOb8mTAvfJc7ogfrI/eS+zNHdmrRHsVjB2dr+tCFF7nUGQuXLZqpHVddp+DbX6l5qMrHQZEGLdb90mCS8651Z7sUlmfxKrJKVkArVV/hICgAsKRihGJ0Ks3nZ5vKe25HiPTTz3gbe/9WVj82VbcACoYylynaX1fnH2Ne9/a/Ubt9/9JN0+ThCpaH1CrfgCWHwa2Wz3TN3AFC1JwN3aw9KeEO0BPBW4ib5Mt7Pk+nKN1ueyVsJc8o+A5bCVEftzJC1Ic25N2wGZJcMpUcs9HJ4l1wUztVgCq5Kx3pqKU3KxSdTCU0ACWRDINYHyvlKqvkGmEan24gKUcxDKQYUEeBQzDI1UUOw8k5+7atk1m4fnr58R7D8S0DwyAF+6+BT8/pn1zTdecMa349Gt+Yqb/9J3f74DG/dVwXwKn8ovMpZZHbMkJjsDXtuKW+Bu68BRVipbwJ4cIrhtSZAaQKdroaRpqN3lIeGtLYLIYSA8kQetRaUg8lKPhIaYpzWojXqiPkft4FCtTKDqFh4myHVFKeMIApIya0TFmygFJqlgD8jOyhyEaAmTGOsNBXQOGGvPWIx8roHBPSEefeEY9PbM+PO3vuXcbzvehrir5+RXD8AB4IRjF6NR3xm/+Yo3bpz/VH7s/id/XNq4O0KRMeRo0i9Gn3vTQ8YCl46is8GdBnrWO2lXqUoD11AZSlLPp+8rIOv3Qi3WNKgtwCtsJxx5Cmv+Soys2iKsCWdSB5GoKoDkv1wd96wlJyCmYBClgI5PTVlyYnkBCYz1tv+zXBQrMm72U0OdZJSgub4kC1h1/hmnCPw6mFfC/CVnjy0eOH/jM+v3xcctWXzEjt0RAzgAeH4Ov1q9965lC8/80CWXel/eMfrrGbWRMXguSy6rApbNSQ6U5ow6NthUgM1QjhZwZxw5yWumBnZWMUniSoilPiRPTRVAdTAZ+0gPDRVi1U6RKoiwaldKkHNAtjHRtAEE4EJ1f5DHVuvkACCIXGwakNvOIIuiUCBp92eOiTTpgnBpUJQkSNRsJNZ5TxIZCIQIATYHS5ZfPLSyetLHHbr+rvXbBo7oMTuiACekAwCwe9/orR+4+jynM0dv+v6P7p+5c+8oYkHTWSnKdazOkbmkJi2+WytQ2cDXWnY7rdvIdLQdLZmCbyMN7iyFSf3PI3oKDm1YAYWmixmg6Yu0lFzYlhym1IJWVxJNP9HJE2eQSmDQk9sGufo+zfuVdC6HKaYpKYqUc3QXtOQHJ72FpFwYRQRwutHRccHeoHLeX/EovJX4xx3x4/bSXUTTjJ6uMgRv3nL15Wdcd8qqFXulh1LAY9Lf41IbyKo2NdJgzJZaSwKrRIu1brHcFCnKkkpSaOvdbI0UJOo0tVhwDSxMDfQjPgFEapPSC5NgLPmtdgk3Oxacc5IqcmlS1/RjFa8S21GF+jVWnUPZn56Ax+koxLapcspzKYvhM0QxQxQxRLE8wNWZy/d2zDrvumbIb3H96isBxZfn6Jlu3HTjjaCzTvsdp+7euNE4Z3h4JOc5JGlpgXRrlATIIiX/2QtN44DJgDSRDpN24wbkVAOboJWv206ZLI0hxpppcFNqcXF7UpjHekIcvqNn2huS+3boQOs8sHaIhNKYJbGw32hvkw+T/zU7m639qd169iO133ZOyQlGEcUUUcwQcwIIgVJlzlB3z4xrRWPNLYWOU18pGL5yAAeAB3/2b3j9xVc83dVR3JbzycUHhoZ915HLIF1lVIik3rNpwGoB2C7/kKIlWe5NSRrUetKo541rXuvV9mRooTAJuJECWCYIKwXyDJjxygA8pfa0WRcAUOpKYtHlS7LgTgKj7A8z6wpbEch6M9U2WYNY9M4444QRErigaIYMzdBBIwTy5f6xfHneh5oN51+7B/60XXDlERtHlIO3G6UAPN9RvC3vzo4KPvnu+g1bAi5cjNQJJiPJHT1KwGA7H2wnjmgLxPR90gp62rqQtMGVAq51AlNYIZiWbky3yDycs0YO8j0H+2K9gCfW9xIoi60+WwhhrlqEyBUpUQtPEBVHrhaZoACzohB1UyktEVJOIdR5Mb3nQaXzRlElSoWsDKzGWOTjwBhD58y+upuf9d6YlG9vNBv8YH/15Y5X1IIDwC9+ejsuuuQKAbe6du5M5/m+Of6b94zuc57dITAeUggi09FcmtTzdphFVdrJg1lw26+jCbjTNMdqwa3Br6y5nckDe2v9D0NbkOyn01lwvUA9iAU/ZEuO9H3bGLebHElYLRLVQltts7U/ILHkxPrP6Znf+qUmvcxYcOnddJ0IvheimK8j8Cfx23UuJqIV9Up11rtWLq3esX+oHq943dtfafi98gAHgJ//5HZ85H3/WfzJp96+9lt/+9QLp64cemNAN7rbXgSGaj4ChyJgAp4DeLptuAVGRtEWFFnOzUgG3PozmAY3QdqlnlZaDMdFK2hs6pEsOm3uSsylPQ3mg1AUmp5YyURNd3qzacl0+rtV+Lg1Z1P9s5RUB2sxbfT+9pzcvi9UfUPN+4W6WsgW7xyeG6GUn8D+0RpuuRt4dNOy2qRY8O73vvudt//0njX87Auu+kNA7w8DcAD43r99H2JbFY/8evT5lcfO3nzOSlzUUdwZPLY2QBR6KPkCgQt4joCrYrSyMRr2yTb0I2O90+AmhoO3KCgmTiR9S07kFMNY5wwPh7VFO1BPz8FTqk5mQrda8lYClAANKlpPgQ7JNtGigexiM1WGTh+E1F3r2FifqyvbCiH904TIdpOFIMR4vYabvlfGE+tPHZk/t+8DBb75tlt+th2f+ugrb7n1eMU5eAob5U9gZOs/oFwtfQ/kBHfFikVfnNW1o3P79ho8BgSOgOdJmiJ5YzoBN3WiKVosXBbcNuA1uIxjx7q0px1QxITpiQyOUo9bLL1Qzg37XiZBIXs82j1HMi+wrPt04LYpiV2oE/axg/7/qpgQiKWpK55hqtAK6e2kSSgBIMFMieT0dtYOIUAUyyuC68SIIg7idOPkk07b72+e88kgx763f5TiX7/wX/+QkDsqPgsAwPptI/A95z3f+/EjN/7g3++bSZsH0Fmi8FxiAu6jWLazMwunNotKYhakJFFdLHAn9CaJ6rOFg1TrbFUVyrTLtgBiHzEKkplcJKFGJu7Fum/LlFY0of37zSRtF01ovkekJ6advgaYEm12ojKsY4eWNYxsyW48xqpFu44q1PtMZKD6XfrzpL5OEcZSG6dEIPA5yvkaemY6mD1w0d5i94V/DYTfIWTmUcHZH9SC22PxvAoOjNS+84GrziJdOXHD3XffOzNujiIfuKCUYLIhEE1yc0nVAVptnTLZBShVFZIyYDdUJ2O+Te937ea2wwrayCEcApTYthvSo0i09/DQ7UbLQhaKJduWW4E7o+ilvl/wxEOsHTka5Pa6QRABbhkFQOiqP/I1XJEdKqMTtQUnIMZqEwvkAsBkg2GyLmPG3VoIx+1CuffsvfnOc6/jsfgOc6pHC2ZHD+AAUK3kMTY28e23XnZqNGuG86XVqx/pGB87AN8jqDdDbNgWoR4SeDpXgiQdhuUR1sC3M3HkIpIx6z6FCdk1GTiGQuhe79L9F5vGk/YizdYc5Ps4F9IaQ+4XhBiQJ8kJKiIjk4bWDv/twKsnMLWC1VL7iU6SUPmYAi0dymwXPyUyT5OoiUgpwLS4yACigqmIsOJZoKiM+lMCwkw4z+MYq8XYuY9iokYR+Aw93V2Yu/C04WrP666NIvJdPygcTYgdXYADQKlUQByFt55z5qqhsdF9Cx0a/6/hXY+6ERnGs9soxutFdBR4ym2eGileTiw5MLPAJPIxMZZLDgFpqWLVxovrWGrVk9G+1BMFWmpPDu0gsUNe9QXiUKKxrCuJziTKLiwNVYHi4NZ7OBLKpV30uk2f4AnDMpOFA5RBZbvbP1JYhkIHbynww/p8tUZxiEAhF6ERj+C5LQEakyX8p8tOD0sF7y/n979uI2O5n3j+UYfX0Qc4ADDH5Zs2bbzrrHMu88aG1tXowvrXf/LAA2TjLkZ7i1IXd1hySbStkjlxtu6twG2Azoh5TrvnjQME0hoTrpK9uEjKDautjRI5ySTINVcnarGmrwaGs6S8fVOjXf8HoJ3uncnasSe5Zb2JCn/VLSwjbtUjRHqyMBUmq+usAJJWcSFAFb1h1upeq+Z2J2UCimZIMb8nRNfMPC9VThHz+xZ/+JTXLf2XwW27m4sWHVpxzFd6vCoADgADAwsxvPf5ZrG369ayP+f+sV+tuurEJfv/58TQTuR9B4zKQP0wtqLeiLY7+lJuW3DZco4xqiw5SVl1DSLNWaNYyPJhIQEXHDEXiGNhSoDYE0noRAEFZon5jFxiuxanoCTZC1LrpBWpBWE2JQ1IQByrYxHFQDMCokgYeqXXLvpqlgA4+WbpVifGc2wv7LUmH8cUYSQLAzVDgTBkKJaX4a0Xdf6Pxzb3/6CjY+a2J5/Z0Txt1fKjDSczXjUAB4COmSsAYPKGr92xbuP4STdecuYmb++e8qcHB7eyMArRaBJM1AUi1dOcEGLiIdMqBIFjgZsxKh+nArAS54kQSuISFHXCEcUCYSi/R18t9AQSRKfhQUlpROWfkpR60S7lbMqRoiSiDT2xVA6aAE7Ggcv/JQRQbxCEEVBvcMQxN+GziXokX8sYIFhyXbGPn+btEPp7heqqJxBSYHTCQa1O4HkeunsWxjXe9bkzzotuXDBrazx36VlHG0It41UFcD2u+/Bb8P0f3BFffdU7P7Nnzz7nkUce+fPnnnvar08O44n1NQwPMZQDedCF4hpJcJamJBLcjiPB7TC539FOJKZjXiQKOJcTZnhUYGKSoxkm8f6mcq1Q6VoQYCAy8cWSGhNEH14qRHs9POmcQVMSHldOMCnl6VhshzHU6gQTkxwTtQixAreRS5m8enGWCWd1NDeX8eGUE1W+WEWYUAHfjVHMN7Fjb4xNOzvQUZ2BZUuPa5x08un/u1zu/MyDv7oLZ59/+dGGTdvxqgQ4AFx91VswMjIKxsinL7jgPLpsad/pOzbcQQeWjJz+qa9xJ2AMOU9Cw8SVKHrClAW3wW1uDuBQIbdMet0cR25nd4UYrU3i2UEPTKjJoN7HlILgQKs2wupXqaz34eb4kNa7Lc4rasXDU/k7mf7djKubACExNu6i2LjDlf/P/G8JboerrSnKQxM3vfleAkaF0reTaeqwGMXcMH79/IxoYqKy+oq3vJEvXNi3OorEp2u1MeTzpUP/z3/g8aoFOABUKqZFxXWb1n0Lp542rySe6735xGMPXM1HdlPwSeMGZxbndhiF41C4jCggy5vLAOaoxAtHwHU5fJcj8GMUggj9c4YxFo/j+w/NRcFhKPkCviPAHdlpwLi1tcPP9hoKJLzkJY52EqEOYJLReVxNSA7P4er3RyjkQvjeGJ7bTvD4xm4s6iYo+AK+C3gugesQcEeCXAgCwZQIKDTZTmTWSFMYyCtDIxTgyKFYXcRPO3nhDzfvqb7/oaefHTvxxOOPNjwOabyqAW6PgSXvxaNPbRrrnhN85Jp37tzwuyeeXHngwMgVz63dAI+5cJibWCvFuV1Vftx1tCWWfNJjgOdy+B5Hzo9QyEUoFRqoFGvgvInxeoSm44KSONGAoVUMglhtKU1KFR/JDM3EyZPUQZHRldJyu4zL3+9GCIIQxfwkcv44qJPD0CTF/gmAc27a8WUDroTgqYqzui6k9hOwWL6foIFq50LkiuUfVXqPefbtK3q/EjbrY17h1bOIPNh4zQAcAE49fgAA9g1u3frfz1111YIHH3sB3T3dV2zbvBYiqilgUzAFbteV4HaZMAB3mIDnCvietNy5IEY+CFHI1eF7TTASQsQhxpBDLiSK68ptzAGmDB+3rPfBx+GDP1FURBrojMNxOFwWw/NiBG6IwGvCdZugwkUz5BhpOPCsTtQmnkX/GiFzKoWIIYQuekoQUQnsZiNGIV/E4uXHo3v24h8F5ZUfb4Rjg8Sdc7QhcNjjNQVwPRbMn48t2/cNHnfsimuLheDWM09e+rFtWzees/aFdRgfG4fveXAdIPCEtN46iZklHNZ1pBUMvAiBr0DiNeG6kk03YqDBCYJYcXYV5xJztdhMcW9rTIHjg80FO6jM/qyEi4uUFdcgdxxZix0QiMIYURhiLHSQd4ia0GpxTQUiBXTd8juO5USlRK5ZEMYoFotY0LcIx6xY9MDMGf5XeubOfxrx5CBxXnvgBl6jAAeAvrldALBBCLEBwLOPO3zWwMCib65bt2HRxg3PM8+JkA84fFcl3AoYK6gtuevE8JwYvhsiHzTQaIZ45LkcJiIC7gDNmCDkAi6XjhNHeTd149XsSCJMD89a2yJMKkjKSOtJo12muLjuXsdYDAL5P08/to7bH6mj1gxQcwlyEUEYSVoWxTJ8QXAgJgKh+i9OyCGEQCHv4vjjj4/7+xdtqE02P7DyuFN3AVj3Unp+vprGaxbgeqgTsG54aHhdzONLXNefs2rVCT/csObhMgm3FBhGMDLh4cCYB8YEPFMnT8ChHK4bwfeaKOTqeGqzwP2PFdCIGYiju/AS4/rmXLRQE1uByAZITfmbM49NRGPmlvoOXYUgteCU7WIAqXNfsKqBE+4exePr8xj3fBQcghwXqe7HWko9UOc4MBajt6uI/v75E2+49NxRAn5l76y5Oyijg691YOvxmge4Hh0zOsA5H+zs7Nw2Pj5xTDEXn1bwT7p5cMfG4prVg9XxA0Po7ZAVTmVUnKQqnhujlG/g+cEQ191cxZrdJVnuGUCTSyvuM5FasNnmOx2LbmXpGwe9SEo6IP0+G0I6JICowC97cZjkjyoLrjtHM9kWnRCBMHLR3xPjc+8fxie/kcML27tQ8YjxxArBEUUE1Hcwq9vDqlm5MQRLhhYtXOGU8/R9/X19v8kXiiOA4CQpr/uaH380AAdU4RmA18Z2DHd29f4iF97Zxxf9l3e/pWf8k08++qsmbQ6SnD+ybGQUQRiOAoIj5zUxUa/jC98v4oFnuuEEOcQxIMIYDcEwSYEgJoiZQGwHXsHSq2kSvciYuaoYn4+Md2nN2LGDpGyrTUHA9UKWJxPEWHF7oemG8L0InDOMT5Rw5opJXPu2ffjoP+YxVi+gMyepTWdHCfXYqc/sKa495eTF7llnnHjrgtP/29/f94N/8md1l+ov7h3jC4uvXj37pY4/KoDrkS/NAQC+fzQCpfQ7jtO4hVGGJcv6WT6f//qLe7EkrG06y2ebWT43gvufoVj9XAldxQAdRYJCaQIjo5PYur+AGsshzwlypkhOgvAkqIuYoC7GpC4vODcA1WDWcTPacZMkDaQzfygAGgMxk+sHfdmQZe00D4/huk0E3iR2DnHsO1BGOahgIj+JE/r24ZyVY3j4mRKq1TJOXNEbn3jcwEOTcW7dxMTENZTy2Pdz2P7Yt0S1c0HtaJ+vV3L8UQJcj86y+XuaHUQT4yPvn9Xnd9Rrx39+/7Yfe/nCaDw4NPt1/fO6TspFw+jMT+Idl46AOkO49b48fvjgXIRuYCILhc7sIonXVHpOKVzlOQUB4ogiDmOEkQyydkGVdVdOJ+kSRRjJWxTLn+kYay31aH3lgCCmyS5VLdJz/iRuf4jjX++egWajhHeel8fSgQ4sXzQbbzpHPPnstvJvX3dcP3vvuy5qzu7t+tTkZGO4Y0b1aJ+WP+j441hJvIzx1VvvBUDOYTy8uOxNXlnNN5fO7toPGj0IIcbxjs+XsX1XGZ05jnKOYkaRolIASjmKXEDgORSeR+F7DL5L4anmcY0msHtfiGYYgTIg5zEUcgyFPEMhB+R9DsaARpNg1z6BRlPGnLguhe8RBC7ge4DvCuSDGJVihEqxiVK+Bs+to5RvYM/IOK752hzk3TIuPO1YHNNXQf/c4IWF88UPC3lxNxd4IJhxxdE+xEd1/FFb8EMZH/2TCwHggeHh4QcAPEgQL9y150V+//3r+UWnVvqveUffX9/38F4EnoP1W3ZjeGwf8i4ByzsIXA86oNFlGoxAPpAS5PZ9kxjcy9BZkhY/FzBQKvX5ainGjHIDm16MsH2PD4cBgUsR+BQEDA4jICHQDAWiKELghXDoBMrlHNxgIQgieB2zccKKyRsX9Wzb/M63nkqDYBYNfHcjgF941erRPrSvivEfHuB6dHR0AMAv9OM1m/bDDfzqcct2rK5PPI1IOOGpJy3/RN6JX1/JCRRyAr9/+vdYs2kYAz0+ykUHgQ9UC3Xk/RpmdkyiFg/h7t/NQH/ThUNi5DxAFDhcxlEt1jC7ew9uudfHhi0VdFcIOqsBCgUPoAyeS7Fg1jiGxstYccz56KwA1VIT+Vx0T6Ne/1KjSdxl/cfhWzfMeQBx4wBxeo/2IXxVjv8P8CnG8oFOADgA4E4AWLvpRQBYCx71+A44oxHWb16PieYIXNeF7zuIojA85dSV10/Wam9yaT1848AwdtZyGBkuYl4XQbXkoKPMMKPMMb9nHPvGe+GUqjj9FAeVgusWy+Uf79/+1PWU+S5zKDqrMRrCQ9/AcpQKDnyPU8chuwvAZi8372gfotfE+A/PwY/kGNnzSxBCel7cNVThcUPM7h7FnasdbNhSxtxOoFx0UC5QVIoc87onsGZHDXc8UsWCKlAIPNIxc9aIEGL3u95y5tH+K3804/8BXfVLUeOTkmkAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTk6Mjk6MTArMDA6MDAxqVySAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE5OjI5OjEwKzAwOjAwQPTkLgAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 221081000
{'hecke_orbit_code': 54043195562001398, 'n': 1, 'trace_an': 3}
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id: 221081001
{'hecke_orbit_code': 54043195562001398, 'n': 2, 'trace_an': -3}
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id: 221081002
{'hecke_orbit_code': 54043195562001398, 'n': 3, 'trace_an': 3}
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id: 221081003
{'hecke_orbit_code': 54043195562001398, 'n': 4, 'trace_an': 3}
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id: 221081004
{'hecke_orbit_code': 54043195562001398, 'n': 5, 'trace_an': 3}
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id: 221081005
{'hecke_orbit_code': 54043195562001398, 'n': 6, 'trace_an': -3}
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id: 221081006
{'hecke_orbit_code': 54043195562001398, 'n': 7, 'trace_an': -3}
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id: 221081007
{'hecke_orbit_code': 54043195562001398, 'n': 8, 'trace_an': -3}
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id: 221081008
{'hecke_orbit_code': 54043195562001398, 'n': 9, 'trace_an': 3}
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id: 221081009
{'hecke_orbit_code': 54043195562001398, 'n': 10, 'trace_an': -3}
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id: 221081010
{'hecke_orbit_code': 54043195562001398, 'n': 11, 'trace_an': -1}
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id: 221081011
{'hecke_orbit_code': 54043195562001398, 'n': 12, 'trace_an': 3}
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id: 221081012
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id: 221081990
{'hecke_orbit_code': 54043195562001398, 'n': 991, 'trace_an': 1}
-
id: 221081991
{'hecke_orbit_code': 54043195562001398, 'n': 992, 'trace_an': -9}
-
id: 221081992
{'hecke_orbit_code': 54043195562001398, 'n': 993, 'trace_an': 12}
-
id: 221081993
{'hecke_orbit_code': 54043195562001398, 'n': 994, 'trace_an': -48}
-
id: 221081994
{'hecke_orbit_code': 54043195562001398, 'n': 995, 'trace_an': 54}
-
id: 221081995
{'hecke_orbit_code': 54043195562001398, 'n': 996, 'trace_an': 7}
-
id: 221081996
{'hecke_orbit_code': 54043195562001398, 'n': 997, 'trace_an': 26}
-
id: 221081997
{'hecke_orbit_code': 54043195562001398, 'n': 998, 'trace_an': -12}
-
id: 221081998
{'hecke_orbit_code': 54043195562001398, 'n': 999, 'trace_an': 12}
-
id: 221081999
{'hecke_orbit_code': 54043195562001398, 'n': 1000, 'trace_an': -36}