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{'Nk2': 32400, 'analytic_conductor': 64.67882563723711, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 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': [8100, 1, [4051, 6401, 7777], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-2, -2, 1]], [11, [-3, 0, 1]], [17, [6, -6, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953601956, 'hecke_ring_generator_nbound': 7, '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': False, 'label': '8100.2.a.t', 'level': 8100, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '1620.2.a.g', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta )q^{7}+\\beta q^{11}+(-2-2\\beta )q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8100.2.a', 'trace_display': [0, 0, 0, 2], 'trace_hash': 2199354378545375481, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.959', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.924', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [1, 1], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [-2, -2], [0, 0], [0, 0], [0, 0], [3, 1], [0, 0], [-1, -2], [0, 0], [0, 0], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-6, -1], [0, 0], [-1, 4], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [1, 3], [0, 0], [0, 0], [0, 0], [-6, -3], [0, 0], [-5, 1], [0, 0], [0, 0], [0, 0], [3, -1], [0, 0], [-3, 2], [0, 0], [0, 0], [0, 0], [9, -1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-6, -1], [0, 0], [-4, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [4, -6], [0, 0], [0, 0], [0, 0], [-6, -3], [0, 0], [-5, 3], [0, 0], [0, 0], [0, 0], [3, 1], [0, 0], [-4, -6], [0, 0], [0, 0], [0, 0], [3, 7], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 3], [0, 0], [-8, -4], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [1, -1], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [0, 0], [1, 1], [0, 1], [-2, -2], [3, 1], [-1, -2], [0, -2], [-6, -1], [-1, 4], [1, 3], [-6, -3], [-5, 1], [3, -1], [9, -1], [-6, -1], [-4, 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1]], 22, 4], [[[2, -1], [3, 1], [5, 1]], 19, 12], [[[2, -1], [3, 1], [5, -1]], 18, 8], [[[2, -1], [3, -1], [5, 1]], 17, 7]], 'ALdims': [0, 0, 0, 0, 19, 18, 17, 22], 'Nk2': 32400, 'analytic_conductor': 64.67882563723711, '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': [8100, 1, [4051, 6401, 7777], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 76, 'eis_dim': 215, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 33562532, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 8], 'label': '8100.2.a', 'level': 8100, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 1728, 'mf_new_dim': 76, 'num_forms': 31, 'plus_dim': 35, 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mf_twists_nf • Show schema
Hide schema
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id: 1377123
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '8100.2.a.t', 'source_level': 8100, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1620.2.a.g', 'target_level': 1620, 'twist_class_label': '1620.2.a.g', 'twist_class_level': 1620, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377124
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '8100.2.a.t', 'source_level': 8100, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1620.2.a.h', 'target_level': 1620, 'twist_class_label': '1620.2.a.g', 'twist_class_level': 1620, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1377125
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '8100.2.a.t', 'source_level': 8100, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1620.2.i.m', 'target_level': 1620, 'twist_class_label': '1620.2.a.g', 'twist_class_level': 1620, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1377126
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '8100.2.a.t', 'source_level': 8100, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1620.2.i.n', 'target_level': 1620, 'twist_class_label': '1620.2.a.g', 'twist_class_level': 1620, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1377127
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '8100.2.a.t', 'source_level': 8100, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '6480.2.a.bh', 'target_level': 6480, 'twist_class_label': '1620.2.a.g', 'twist_class_level': 1620, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1377128
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '8100.2.a.t', 'source_level': 8100, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '6480.2.a.bp', 'target_level': 6480, 'twist_class_label': '1620.2.a.g', 'twist_class_level': 1620, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1377129
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '8100.2.a.t', 'source_level': 8100, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '8100.2.a.s', 'target_level': 8100, 'twist_class_label': '1620.2.a.g', 'twist_class_level': 1620, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377130
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '8100.2.a.t', 'source_level': 8100, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '8100.2.a.t', 'target_level': 8100, 'twist_class_label': '1620.2.a.g', 'twist_class_level': 1620, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1377131
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '8100.2.a.t', 'source_level': 8100, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '8100.2.d.l', 'target_level': 8100, 'twist_class_label': '1620.2.a.g', 'twist_class_level': 1620, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1377132
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '8100.2.a.t', 'source_level': 8100, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '8100.2.d.m', 'target_level': 8100, 'twist_class_label': '1620.2.a.g', 'twist_class_level': 1620, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4659675
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 85568392953601956, 'p': 2}
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id: 4659676
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 85568392953601956, 'p': 3}
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id: 4659677
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 85568392953601956, 'p': 5}
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id: 4659678
{'charpoly_factorization': [[[-2, -2, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 7}
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id: 4659679
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 11}
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id: 4659680
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 13}
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id: 4659681
{'charpoly_factorization': [[[6, -6, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 17}
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id: 4659682
{'charpoly_factorization': [[[-11, 2, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 19}
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id: 4659683
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 23}
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id: 4659684
{'charpoly_factorization': [[[33, 12, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 29}
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id: 4659685
{'charpoly_factorization': [[[-47, 2, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 31}
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id: 4659686
{'charpoly_factorization': [[[-26, -2, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 37}
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id: 4659687
{'charpoly_factorization': [[[9, 12, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 41}
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id: 4659688
{'charpoly_factorization': [[[22, 10, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 43}
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id: 4659689
{'charpoly_factorization': [[[6, -6, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 47}
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id: 4659690
{'charpoly_factorization': [[[78, -18, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 53}
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id: 4659691
{'charpoly_factorization': [[[33, 12, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 59}
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id: 4659692
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 85568392953601956, 'p': 61}
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id: 4659693
{'charpoly_factorization': [[[-92, -8, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 67}
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id: 4659694
{'charpoly_factorization': [[[9, 12, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 71}
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id: 4659695
{'charpoly_factorization': [[[-2, 10, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 73}
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id: 4659696
{'charpoly_factorization': [[[-92, 8, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 79}
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id: 4659697
{'charpoly_factorization': [[[-138, -6, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 83}
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id: 4659698
{'charpoly_factorization': [[[-27, 0, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 89}
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id: 4659699
{'charpoly_factorization': [[[-2, -2, 1], 1]], 'hecke_orbit_code': 85568392953601956, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 20, 'label': '8100.2.a.t', 'level': 8100, 'portrait': 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c3sRMJy16c7FIxil5WBYNOEZqmjOXlBUXM9Nk3DtrmQjTMjNswEbJoJ2LbRsGOT4vLtLnXV5NjJNvc/7fHowZgnT0Qkqsd3vLzDW19qqKsZDp6Y5NhZhzPzCedTcB9eNNxw5QI//84Vts9OcHZ+kvmVGksdl+WOZLWX0O0n9EeCg8cXOXSqc/kThxZecez0hV3Hz85/8aZve1t4z22feL4h8U3d/k4z+PJKhzA0KMW7v/bY0Zf+zG/9pXzHTYde+u+/87SzsLKR5U6bpU6DpY7HUsdhqQPLnYTlTsTSasL5VTiyJJibXeW/fv8SL9rb4NSFac7ONzm76HBhyXB+Meb0QsJ8L2ZyesTLru7z4svAk3V85XNhuca5RYfzy4JBAHGsqXmaZi1haiJGAyfOx3T7sHOjS7MeYIwA4dEfanZsClhadcBYKbLahyAGg2G5E7J1g0tvqBDKIHRAu+ayY/OI1YHgxFmHRDvMtCWtmsB3IY4Fg0ByfllybslwYSXG90fgxtx0RZ+XXimYa9dZWmlz6oLP2UW4sBhzYTnmzDIcWTJcf8Uiv/j9K2yabHPy/DTnl+osrHgsdiTLqwkr3YiVbsJyT7PYk5zqwupyj1//90H8fd9Wv9eb+xHtNa64V6J/NsHFr7Wfb6g85+3vLIN/8I//gpfe9EJ+8id/8pc++pd3/Ps/+OiXL953cnXX4bN9+bKrely0RZNoB2MUxlj2xkhAAgIhDI4weBLOLtV58LDk6j3LXLZ9RKMGriPxXIXnOTTrkoYrGfRdDhyv8aVHPU7MB3TjiAOnAjbOLPOml61w9cU9rr+sw/HFmMWBoOGPOHrW0Ok2ueoiyeooYd9xRavh8MwJuGSLYRQmjBIPx4mYasH+Uz7KSXBljOPCMJC86LIBw4Hk6osTusOEE2db7N6kaDZCVgPDhskBK/0uH78DHj+W8OSxETu3LHHNpV2mpkPeeFOP73qlYc+mFkk0ybEzExw57XLqvOb0fMTp+YQj84KTqxEv2LvAf/3+HhsnJzl1fpoLSw0WVj2WOpKVTkKnF7HaT1jpG5b7ggsDxUo35obLFnnXm+dlzTG7Fi6c3D0cxjf67Yvq9cbUlx974NP83vv+7PmGzLq3v5MM/rE//0tecMV29dX7Dvzno8fP/9xjT59Q55ZDFkeKcwPD1Tsv8Os/vsC1expcWJpiqdNguVNjueOy3HVY6cFKJ2GlG7Pci1nswKkVgVMf8ZIrl/nuV4bs3tBktd9mfrnOwrLHYkew3LESYaWn6Q413cAwGMXMtCN2bNSAwHcNp+ddhPTZuUGxe4thy4YBF1YCnjjU4oWXGBr1FZ4+PE2rGRKGLjNTmuEILt8x4iN3THLp9pggMMxOSKJkSKvm88zxEXW3ybV7Y548GnJhyWPrjM/uzbBjU4hSEacXwXMNQhh2boyZakl6Q5/+wKU7cFnuKpZXYamjWe4kLHYSzndgaZSwY2uf7755kZdc5lBz25xbbLO4UmNx1WG5K1jpaFZ7ESu9hNW+YakP53uKC6sxL7r0PO/58SUu2dpkqdNmpVujN5rAre9J3PqmX+rEl/xiQ55OXvnqf/x8Q2fN7e8UwA8eOEi9XqufPnN6x2NPPPOOYyfO/PcDh04zDCX9EawOLaOc7cVcf9F5fu3Hl7nmojrzK1MsrTZY6dZY7rqsdB1WutDpaVZ7MSu9mOWu4UJHcLZvQPR568s7vPFFmos21wjDBiudGqt9j05PsdIX9AaCUWAIY0OSgJIG34W6b5hsGzZMRzjuiCPnQp467KPjJq+/McRxV3lk3wS7NsMXHox5+VU+850hNUcRJxHTUxBHLo4bs7TU4GXXdfnCfS12b4aHDwW4NHjdizSxGPLUkYRjp2s40mPjlMNUU1D3BZ4nUAJiDWFkGIXQGxhW+5reQLM60Cz1DcMkYee2AW98cYe3vjQE3WJpdYL55brV212HlQ6s9hI6/ZjVFNzLAzjXVSx0E67fe4H3/Pg8V+yss7AyyWqvQafv0+u7rHQFXmMbtebG/7R1+2V/vnXr1pOj0Wh4yd5Ln28o5be/MwA/cfwwsxvmvCOHDv/gwYOH3vvQI4+LpeW+HAWa/kjTGxl6Q1gdSuaHknO9iBddPM+v/MgS111cY3F1kqXVJitdn9Wex0rPYbUn6PQMnX7Cai+m09es9A3zPcG5jmZqcsC3Xd/jpstidm5UtOsu3V4N35WAIowlWgu0gcEIEJqp1ohDZwzahNz+cJNgUOfirR4vuXpApFe569FJrr3E5dD5Pp2VNi++esCXH/HZOG3Yd8Lwr97SZd9xn43Tki89qnjJ5YrlQZejp6a5dm/IXU8NiYMGN13hsWf7iGHc57ZHFCSCI6cd2g0HR8BgKNFGkGhDFANS43iaTt/QbEVs3xzw0ssHfNsLY2aaNS4sT7C0WreOU89hpSvo9KHTi+n0Yzr9hM7AsDyQnO8JFnsxN166wC/9yALX7K6xsDrBaq9Bt+/THbj0Bg69gaI3FMS6pi+6+Cqza/eed1205+IPLS4uhJdd+ncD5H8nAB7FkQyD4Zsevu/Wi/vD+D0PP/SIOwhgFBqGo4TBKKE/0vRHht5Q0BkK5oeSs52Ymy6f590/ssAL93isdidYWGnR6ddY7Xms9h06PUVnAL2+oTuIrTsw1HQGhoW+YKEPURJwzSVDNk0n9AeGN7w4YNcmTZxIHGkII7jziRon52tsnop5+kgNdIPLtimuu1Tj1wY8cmjAwmKTK3c1aU+ucN+TLjdcUmNpsMrKSptNmwwP7lP8k1f3eWifw7YNLov9DivL01x3+YD7nk6Yrk9y5cV95jsdHnx2krrT5PpLDXt3jED2eeKYYMN0xIWFiLuecBlFCikh0YZdm0O+7cUhvb5iy5TmuksgDBssdxosd3xW+y7dgaLTl3T70B1Yp6Q3SOgONKsDw/JQcqYr6AwDXrJ3gV/84RWuv8ReHJ1ene7Apzdw6Q0dugNFfyQZDAW9QUJvEHPdC6+PDOqn3vad/+hws1H/rOu6+vnG1vOeyYyCPkk0+P4zxx/59YXzB6fPz6/QqEuEtIEi9n/pzVqAQhikNEjp8NDBjfzsBxze8pJlvufVy+zeGnJ+qY3v1an7Hg3fpVl36NUlraHLRNOxF8wwYWOgGQaG3shneaHG6VOGMNacOR/j+wYQeMrgSMFgqBC4xAOHF+wS7Nli2LF1QJD0uPUhxf7DU7z2hT7XXb7Ch281eKLBrq0DnrxPsXVSMdseUFN1wshlvgfNmsO2jYLH94dct7fOK69d5I8+N8RzW9xyo8H1B3zlwZAvPNDk2WN1LtrSYNfmhLmpkN2zEVftSlBK4ygDGBq+z9ykTxi59AYeTx9ybYnC0AKxP4T+yNAf2O/eGyb0h4bu0LA6hIWB4sKKoTHR4Sdev8A/fknANRc1ObfYptOv0cvBregPFYORZDgSDANDEEGcwNfuechtTUz/+uzcg8s3v/zG/6vbHfxRu914XvH1vAI8DPoYIX747In7331s/1emw2GfuueROSEGASgQdqkRAqSwnTRKGpRM8KTkyUNzPHawyaGz87zlpX1eesWIyVab5U6DZrdGe+jRHzj25Iwkw5HDIHAYBYZRqAkjQxQZ4sTew9jDaJBK4DqCmieYbAmmWrBpVrNt44DZqQ5ffATufsxF6gle+0KXF1zW455nI8JRm5e8QNAZDplfanLTXs3s5IC64zOKFQvdCKUFL9jr0GgFPHqgxiuum+DF1/R49IACM8ELr/D4oe9Y5suPh3zpoSb7TtbYMafYNF1nqtVgogV1H1zHoCRoA/uOCZJEEMWCMIYgwn7HIGEYaEaBZjDSDAJNfwjdABb6kvkeBHrEa65d5k0v7fB9t2jiuM35xSbdfo3e0KM/dOkPFb2hYjASDFJwD0eaUZAQhJphoDl/7BxnPn7r9HCU/D//+Ntf6fT6gw+0ms8fyJ83gEfBElIkPzR/+q53nz/+5Q1C92k1PJRKECmgERKBQAiFEAIpScENShkcZXCVpu4KFgd1PnbHNr7yWJeXX7XKO1+zylW7+8xMNlhabdAb+gyGbgpsZe+hIIgkUSyIY7vUm3S5UNLgOFDzoFHXTLcitm4YENPn0JmIj99V4+ipJpN+nRuucLjp6i4PHuxw+/1tbrykxo7NAz5yh0AJn3YrYrUfoA0oAXPtAd2eh47rvOnl83zsCw32XKjxxhsHhNESdz01Q5TUeNEVG3jjDV0u2d7hK48OePJUgyeOeWyblky3BQ1f4Ln2IpQChDBoA1oboji9WCNDENkLeRTCMITeSLASCJZ7IJwR1166yju/bZWXX5Ew066z0m3Q6dXpDXz6I5f+sFgJBoFkOIJBeuGMRgnDUKdkAYlWnJvv8uGPf2nDIOTd3/ntLzPnLyz/4aaN0/97ADye/xW6o20Ei3/5A1E0eE9v/tlZV/Sp13wQSfpbAiGwzC0kQgiEkCjpIGWCUiJdnjWuMviOoe4IVkaKpc4Un7izyQNP93nJNau885ZVrt3TYSapE8c+g1GN/tBlGDiEkSKKJXEiSbRAG2GzoMLge5pGLcb3Qjw34MxSwOcelhw+7XHs9BRK++zZ7HH5bsULL+ui/AWeOtJi62SDKy+CTXMrLHfbXLVVEmvDFx/yCQaSyWbM61404rN3RZw83+LSi13OrY545qjL9o1TXLN7gXue7HHfM4Ig9Lhs9zSXbfe5bFuPI+eWOXwGHtrf4NDRJg1H4DuSpm+ouSClJQZj7MUaJxDGECaCfiDojgTdCEIdo82I6y/p8s5v6/LyqxI2T/uMRhMsdWr0+j79kcdg6NAfKQYjxTAQDEeSYWD7RkdBYj3+wIJ7GGpGoQV5lCiOn+3y3o98dcN9Bxbe05poxv/pdz//4QOHz/PxX/3Bf7gA/8lf/l3U3KeJjr7m+1R07LfC3qlJV7g06nWklLkEEYKUtbFsLQVKCRyl0keNoxJcR+A5Gs81+K6h4SVM1gS9wGWlO8Un725zxxMjNk4NeMfNHS7bPmI07HPlbsP2TYogckmSIs0vMEipcZ2EExcMx84LVoeaz9zT4MziFCZ0maoptsw47NzkcNFWuHJPFy0Xed9nmywvT3DjZQ5X7unwlScEInbZMCVpNmIGkYc0EoxEOR6dkeDCsuAK0+DmF/a499E6W2Y9brxymn/+HYt86As9HjrQpD9yWVptsXtLnUs3D3jR3h7f+YoeZ5eX+cw9PksDnxPnXM6c8XCVsMcRgTaGREOkDUmsmZqJuPqKAUEQcdn2gLfdHLBhQjHd8omiGucWagyGHoPArnLDHNjSgjsQjALsShAkjEJNECaWuSOTghyGkWAYCgaJw6mzXZ7+1H2zV+3Z9Fs3vXBj9PFfvfyjCyffw9yOn/qHB/Af+6U/p3XD28U//Sn19q2tp97/3a94snHVbg8hGoBKl9gC4FIYpLRSQUqJkhJHCRyVPjoC10nwHIHnamquoR4ZGqFhopYwVRcMQkkvbHLsdJNf+eg06BgRx7zw6gG7N4XEMWijMcYmcaQQSCVwXI8DJz32Ha7RrDm0PMlsQzA3I9kw7bBlTrFzc8KlO1dJxBK//ak2J05OcuNel8t2JQzjHvc/5TNZd5mZMEy2Qhp1K4W0lnRGiuW+YamT0OnXedmVqzy8b8D+k4rJdo0XXTHJj7xpid/5NDx6uEl/aFjtOVxYbrNptsGGqRE7Z0b85NsHtBsdnjwGB05JXNeglEEITRadGwNxDLs2JbzkqpgkcoliH2MajEKX84sew8CuaKNQ5fJtGApGgWAUWtYOQpuVDQJNEGpGkU7fMzlzDyPBMBL0QsFKJOjHhmQ4JOo9Mvnm6ze8/zfn5+Mw+XefWDk5YaZ2/It/OAD/0f/2MTbMtdSBr/zpWw8dX/7wnz60VHti/wS/8i86XLbDOiJCaITQSOEjpUFJF6UMSiqUUqnelriO1ZyeqwhcSRBq/DAhiAz1SBNEmjA0tGMIIk0QQxgLRpEkSHyipMb+w02e2A+JMVhoW23sSvCUrflo+XDlZmjXYaIpmWopZiYdNkzDjk0Bm+dWicwyv/2pCY4cneC6ixQXbZPs2bbCV5+JubA0wQt3S6bampo3xJc+RgniRCKMIU5CVvo1Liy5XHdZnRfs7XHPozU2TgkatRbX7dX8xFuX+K1Pa54502K1r1ntKRZWHGYnm0y160y1J2g3IuaaETuvC/HdGNeJUSpBChtMGOxFFUWK+QWHKFZEsSKMFEGUPoaSIJIEoWQUSoJQ2AA1FAShIQjtcQ3ChDBMNX1k3x+FMIoEowgGObgl/TBGj4a8YNcK7/4X87zminON3qr3Yen9rm61N32qf/b/TZpbfuLvP8D/8699jJmWrw6fW3jbkaPn/ujhp0/WaExw64MWqL/4I6tcvr2HkglSaQtu5aKUto/S4CqD6yhcx+CGEs8V9iS4gsBThJEFehQZwjixrkhcuicQJ4Yk0SQaq7c1ObgzKeRIcF3wHUHNFzR8SbOhmGhIpiYEG6Zjdm4a0Gqu8ql7Q+56aprVxTZX71Ds3OxyyfYRiVjliw81aLoOc1OKVmPEU0fg2aMOV203DALFNZdEXL3HcP5cwsKKx3DU4PU39Pjak0MOnVE06xLfa3PVRZpf/IEl7nxmyGfvnGWpa9i5IWGl4zDZVkw0XVoNl2bdUPM1vqfxnQRHWakl09ZKY7AJKy2ItSROBHEsiGJJGAuiSBJE1nkJI0EYGcIQgighjDRhiTiCqHy34B6m4O5Gkk4EgyBCRn2u27XCL/zoMm+4wdAdtAjCgzUnUX+yGNb+WWw2/8XZgx9Ktuz9wb/fAG97Wna63e85deL07x05eLLWargMYkMk2vz1fZIwULztVV3e/po+U+2EntQ4Mkl1ttXDruPgRg6+oxi5lmkCVxJ6gjAS9uREiiiGMJLWQYgL2y9ONEli3YXEpE5J6pZk7oySVvZ4jsD3JDVf0qwL2g3DZEuzcTpgbqpHbFb5xNckH/rCDBtqNa7eIdix2WXXFs3OzSt86n7D8nKNyzYpptrQakRcOC6ZX/HxdkMQCeYmJJOTcOiYYaWrOb9Y45JdNV79wh6fu7vGTAt8z0PJSa7aI/jRN87jynn++p4pnj1TY2M3YsNkzERT0aorGnVJ3XfwPfBdcBzrMEkBUpRAjr2wEw1JIogTUqBDlBjCGKIosaQQacLsMdKp7Zi5MqkFGVtJ0o8E3VjSizThKGTC7/Ldr1/i7Tf3ueU66A6ajAKfMHbp9k/VjNt6v3GaDnh/huWZv58A/8M//jRJon/g2f3P/trRI6fac03FMNK4QtCTLoFo8cWHHO5/psa5lSX+1XcOmGrHBH6N7qCGozxcx8V1XLwwIXQdvNBKkzCyqXTLOMIyUcpKcQxRAklinQStbcCltcl6OFNwW4DbwFXgOhYgNR8aNU2rHjPZipmbHDI7tcq9+0P+5PY6B45NsmvCZc8m2LbJY9tGuHRHl0Hc5cF9berKZW5KMdmCyVbA1ESM5zkIYS+uYeCx3I1YHRg6/Zj5FY8dm1q8+LJ5bn9owIEzbRp+hKs8hJhgz1bFP71lkesvnedPbm/x4NOTLPUdNrRjJhsxjZqkXlP4rsB3Ja5rYxWlSGMbi3KD7WHVmhzocaLT1S21FmNNnFhwxxGEsSnukXVlRrEllUEk6MaCXgyjUYyOh8zUu7zru5b5v7+3T8P36PTqBKFPEHmEoWv7X1dPt/Fqvz05e5W374m/+tDlL/jbK9L6WwP44nIHpdQP//4ffvLdR4+fnmn4AiexrKIkuLGgK1yGUrIaOPzan7vsO7LCm17R5+Zre2ycDel16wwDH8+N8T2XIHTwPWvvZQCPIkkY22U3ilNPOyG1/kiZW6INBbhtkjJlbnCUTZh4rqHmaeq1mFYtZqodsHm2y4XOgPd+xuWLD0+zvNLk4jnBjg2CrRs8tm0Q7N4ywvFW+dhdDkdPNdm7UTLVkkw0E6QMOLNg8B2JFGCMIIwcdm7o8hAJ3YFipWu4sFxn77Ya33lzh7/4isfxCz6uEyGEizZNoljywt0r7PzeLl98dMBHvjjNI8ebbJ0SzDYTmrWEmifwXYHn2ljFUdjAWYq8JsNgLzJtsE5LYgGfgTxOrKSzYIcwsbUuYZY8igXDGHqxpBfDMNQkg4Btsz1eed0Kb37FgDfcoHFEg5XVGkHkE4YuYeQSRA5h5FjtPzgz05rY9Z7Lrn2rCoPOBzz/b2fi1t8KwJdXOnie+88/d+td73708Wc2SGHwXZt6t3rXoKTAlYK+lPRkjU7o8LGv1rjzyR7XXdble28Z8MYbO8xM+gxHPsPAw3ddwtgljJw8UIpjRZRI4lgSJYI4liSJINGi0NpakKsSk7k1Nlmk0mSR52p8L6Hux7TqAbOTfYbRkK88Zfj4Vyd48OlJpjyXq7YaNk9LNs54bJmTbNsYctHWFZ48PuQzX5tjQjnMTQjaTUG7EdEZJHzh/hotz353bWAYOLzpJQGff8DWxHT6mvkVh20bWrzlpX0e3N9j3yGPph+jpLAg1w1GodX6//TVHfZunudjd3a579lJTq7U2dQWTNQMDU9TczSeC44SKEmaILPfOys/0qlU07pY4eIU6JYgIEoEUZICOxGMYsEgFvQTbMwThjTrA97y2mW+55YuL9ybsHHKZThq0u17hJGXAtues4yYosgS0rnT+zZ49fvevWvvK/Sg3/1go/mtb5z4lgJ8tdNhdbWLlHz/l+/42q/e+sUvz/R7q9Q9RZyzt0EJ61o4qXPhS+hJl4GrON31OftAgwee6vMXV/d426uHvO4lI6YnPcLAJ4gtG0SxQ5QCPU4UcZImbJIC4NqkzK2LmrLiIrN1HI6j8dwE34uo+yGt+pCEIV9+VPLROyZ5+tgEIvLZNWXYPGmYnVTMTXtsmpVsmYvYsanLqYUev//ZJnFQZ9s2wWTLod2EdiNCuCHdYZPJlkEIgTEQxZJpXxHrmF7k0RskrHQVZxbqXHFRix/7R6u85898Tiw0cVSUXhgOcVxjFEo2zfi88OIuV1/U55kTZ/j4V+vc/sgkZzt1mr6i5UHTNXiOwVXgSJvOzzPE6U0DRtuLLtGCxECcCOufJ4IwsUmiYSIYJjCMDXEco6OAmdqQ179mlXe8psfLr4qYqLuEUZOVjpUjUewQRm4aG6Xgji24rYyUdPtdVh+9c8MoVL968WUvipeWzv6x6zZpt791bP4tBfhgMGRiov3mRx559Hfu+MpX2oNBl0bNseCORamWhBzsTmJwpcBTmnoiGCiPQewwH9T46wea3PX0gBd9qc+//q4el+/osmFS0W44lh1ilzguQJ5kANcSbSTGWElg8oAyTfUrY4NYJ8b3YlwV0h1GLHQjfvNTNY7NT/HovkmM9pipCzbMGmYnBDNtxcyky8YZyaaZmK1zA2YmV/jiY5pHnp3k6m2CqZak1ZC0G5pmPUS4Ab7v4Cj7942BJJEMA4fhKCLWgt5Q0+sblrsu55fa3HRpnxdfscrHvlSjvqxwZGQBaRzixCOMbI/n7GSN6/f0uf7iPg+98iwnFiR/cvsk86sNTi/5eErSdAVeJsOkPfY5kWdSBcvksRHEGiItCBIYxRBqA0kMcYRUAVumhly9056PGy5PaNcd4rhJp2eBHafAtiusk8rGErgTmT4K6371+9x/350zQeT8zpVXXbsyGg0/863E5LcM4AcOHGTzpo3qg3/00YsPHz7c7nQ61H2HKDGouAB0lAhUbFJwg5MIXGXwYkMtETSUYKgEA8dnmLgshXVuf2SCe58d0vQD/tkbOmybidm1ZchNV/ZwhG0RE8LKFZuVtLXSxpSYG4OQBiWsZ26IQcY8c0zy8H6Hzz3Y4pmTLcK4QctRzNUN003DVMNYH7ztMD3hMDMp2DQds2VuyOa5Fe56OuB9n9vA5kmHuTa0m4p2U9BqxNT9gHsPKkahg9u0oDJGEMaSmqO4du+QB56atIVPw4TVrsviqs+FxSl+7I0XOL24xAOPz+FKQERoyAEUhJL+0GGqVWOy3eTFewe88uoB3/uqBfaf0nz+wRoP7q9z8GiTWDgEgWIQKVRe+lAOPNOcgNHE2mC0xhUJE15IjYgXX9dn9+YR22Yj3vm6gLonadZdwrBBp+elK6mTEo7KvXZ7l2vvuU0piBLJoNfhmSfvaQ965y6++Za3q5MnjiQ7du75uwPwffueZW5u2nvooYd+UAn9aysrS7iuQ6IBoRFkmUmBlLb8VMVYiZAYnBhcKXC1wU8MNSVoJIJAwyhxGSYug6RGr5fwqx+bwsQRG+dGXLFjxMxEzNtePWTHhpAoEqnellBibrIsqdQIKfjknXWePNJEOA4nzjY4c6FBra6Y8AWTTUO7pmnXoFUXTDQU7ZZiquUwMwmzkzEbZ0Zs3dAlMat88mtthv0ml2wztBuKVkPSqmtatRjXDfniAzWCgcTdYGskM4nSrCte/6Ihdz+m6QeS/jChO3BY7TmcX2pw+e4Wb3t5l0efaXBiuYWSGohSvewSJYogsomZ/sih0/do1Rs06wGXbxtx46UjTs13OH5uFcdNeOKow198tYFQtnCN8fmDRgMajCEKE3ZujHnHq4fMthMu3WnYOANJ7BKELeLYZaXrEkeKKHHSOMgCOgO4jYlSOVIxAAojwBa5CYRwWFpaZm5j8mtPPvHoYPPWnR86eHBfuHfv5X83AH72zGmWlxb3njp9+r2PP/6I9FyrfVVikEKihCGWJgU3xGkKPtYCJ7Y6MUoMbmI1oO8YaokhTgShNoSJINCSIJGE2iXSsNBv89UnNYaEv3rQjmzA6PSeZfFSi0xkFYkSqRRx5CC1g+tIWj7snjM0XU3D1zR8aPiCZl3Sqls5NNGSTLVhZiJmbipgy1yPhBV+8y9r3PPUBvbMwFQjZe+GpFWPadRDmo0h9XoDX0mUTDU4Vg5EkctoKBgGCb1A2a6lobYtc02P0xcmeNkVAT/x9gv8+l84nFz1EUJjTIRODFHsEkaSUWDLWFtDh2bNo1Gv0fAb1PyIVj3khZeEeG7EDZfEvPM1AxwVp0kgbevty6I8lXRaS4SQ+K4CPEaBw9KKY+t2kizmSe+xLGKgtHAtA3cG7CyxFKdBa/G60PxJYnjgwYdlEMn3dnuDrwXB6OlvBTb/PwP8zq/8FROTTv3Y0cNvPXLwsKjXHKvntCFJQZ2BWymbgJHKoBJQidWGcQJOYnsf4yyiT9KoPovstShea0GoJbGRJNoh0j5JanuVb3mWUoAjhM1UKqjVDTXHUFMJvgu+AzXPUPcFdU/SqEsaNccCvCmYbGmm2zEzkwEbpvts2bDE+z6n+cjtG9k+qZhtadpNRauhaDagUU9o1SPOLWmOnPOpefaChqzSTzAKHXZv0myaHdEdeQxHJmVxyWrPoVWv0WpM8s7XzHP03Hne/5mtONLBoEl0QqwNUewQhIphaIuiBjVJY+RQ913qfkKnZ2MMz01swsxNcKRtlJAySet+TKmxxJZwWpALOjqtstQ2rkkSidaSWBfxTpyIUoCfPS89xiJ9PwO3TTJFibDnO70niS0PeOTRx8XOXb23btu+88jH/vyTw+95x3c9vwCv1xyvszL/M73OhZ/BBLLuS6IEZGyBrVJwJ9KQ6LSWOxEkqTyJNTiJ9auTLPmgTfra5O8Vz4tKOevlijxQKmtuIA1mbWDlSI0jSWtawFUC17H2pecIar6k5knqvqJeU7TqklbDMNFMmGzFTLcDZqcG7Ni4xIMHAz525xamaj4bW5p2Q1hw1yXNmqZZi2k1Ah48AE/sb3DxnEl1b5E2HwaKGy41XLJjyENPTzIIbHtef+ikIHdp1OrUa5N89yuWeeLgPA/s2wRGoXViy2FjQxyZvJ5kGDg0RoZ6TVHzNL7n4nsJvqNxnATXsdlhpXR+XqQwIAyCQs8VwbktIdaZI6Uz+7VkxWbA1hbExWtyYGd3S2BVYMfZuU/tycFwIE+cOvufHbfutVrNXwLC5w3gg8FQBsHoF2797J/9X/MXznmu4xZ6VwgL5ArALbBVmlRIlMHR6XNtG2h1Qv48yTJuJsu8GXSaicuSFcYYSpn3yoqbuTVZQkfJNGOpKBVt2eyf7ylqvqLuCxp1QatuaDcSJpoxk62AmYkhW+ZWeODAkF/4o42cPD3JRbOayQa064pmXdGsQbOWUK9FeO6IzsgWi7nKxh/ZLdGZFvVo1yMGsWaQ1lkPRgm9gaRTVzR6PjW/xa5NEb/4gx3+y4cl9+/biEGhjSZJNHESE8aaMFKMQsXQl9QDRc2T+J7B9xS+o3Fd6/c7yqR1PumqmsoUIUy1QTdN7ZuURExay5KkgE908WjJSKaPogB4+jxJpUickVi6OtvzDklsiLVOk06Cs2fPebPTEz/11n/8Bnc0Gv6nWq3+N07n/40BHoy6GBP+0r6nvvZvz587VRNSpWyQ2oESEmmvWCUFscqAbNDSgjtJwa2z51qgtcnTyDr3aMFoY7vI0xLQ8p0xgKeyO/8cSmQ15VYSOWkrmutIfM8OAKr5diRD3Tc0a5pWI6HdiJhohUy3h2yZW+WB/QP+y4dmOXBymp3T1mFp1SXNhrTsXTc0agmNWkSUhPzpl1pIpXBT7z9ncJMt4S7/9LUr3PZISC/0GaQA7w8Vvb6i4zvUPB/fbXPp9pj//kNL/PyHBPc9vRFtJIm2afUotoVmQagJarbc1fcFNVfgezaz6Tkmz9g6SluZKIuy5BzgRcoTSEkEm0uwbksayGcATqcO6Dy5Rsru5CtutjoXADelRzP2qHEdxbHjJ2u3femuf/fab3u1WF7p/uz01N8sCfQ3Bvi5s0cx2rz41LFH6zU3wCDR2uRZs0QIEglKkz4KEilI8vRwBu5Mftj3dF4rUbRfWaALW0eRgTo78GOfq+jdTOtMJEUxVVpHbgEucV1p6zc8Qc23M08afkKzbsHdboZMtofMTXZ4cP+AX/jgNM+cmGXblGCmWZImNYdmzdav1GsxdT/EdQPOLE3hKoGSOrXliiAzSSRxrNg8ZYjjiG5USztlNMNRQm8kqQ8UNc/Fc2u4zgSXbYv57/98gf/4h/DAsxtItLQATwxRnKRMrgl8TS2UjDyVSzDXBddJnSslbS5AksoUEOnjOhi3coU0KYTIk0M6TQ5l2eIkKb2vC8mZlICtdXG+cxyUQK7TtsHBaMhd9zxU37Vr54ullN8Qj99SgJ84+NdMt7uNO75ylxcFq9Rr6YfOvoiERGXaygJd6+w9C3StDYlD/iWrwM5kiMmBbjI5kj1/js8mRVFEJSVIKXJwKynTRolMnkDNBd/T1GuGum/1c6Me0W6ETDaHzE51eOTQiJ//wBRPnZhjy6RirqmZqAtaNUmjpmjUBfWavThsqj/kgX2C/sijpkgvsrQNzxSBZhQ7NGuKm67s8eAzbQaRlSnDIGEwVPR8he8pPNdL9fMkl2/X/PKPzPPTfwD37dtApCWR1mmzdNGDGXgS39OWvd2ijt5R2Z1UphQyLms2WQ/kWVLIZABPAZ/kzgvrrrw6jaV0icSSxKQ/Hwd6WjaQ4mhhcZWPfvyvvVfd8obGB/7084Mffue3/+0DvN85TKO9ffLIM5/8/abffUXoRiipbBAhRfWKlVZz69KyZRm7uMq1EuuzdgnQOgd20RRMqr3zkyFsQZGQKbjTIiOVAxxUWjHoOuC52E4gLy2w8hPqqbxo1QMmWkOmWl0ePxzw8x+Y4onjG9g06TDX0EzUoVkTNOuKRl3RyNk7oebHtBoj7nrCY7VTY2qqSJNngNGpNo0SxYYZxWte0Oeuh7Xtogl1CeSSmiupuQ6u4+E4daTUXL7d8O4fmeen/8Bw34ENRNohSisAbdmrZXI/knl1oedIHCctwpIC5WTHhvzzZRdhJlVEVpVGkRAav+vSo9alx3zlrYK7AmS9HrBN7sIFUYJZGL7iyNFjf/ivfvRtP/7iG46vXnP5rr9dgHdXztPvLv10Z/HY98TBAr5XQ6bZyjj7gHJsidIi1dnZVV5c8Zn8SHIZQs7elUBynLlTpGcZuVx7y6yCrtDdWcWgo7D1GY7BdW1jcc3T1LyEei2mUYto1gJajRHTEx0ePRjwM38wy+NHN7Jh0mVDI2GiYVJwp+xdk9R9y/41P6bhh8Q6oBf6CCVxMwbPNbhI2Sv1iyOXpjey5QJhjakM5KOEgWcZ3PekrYl3sg1oDVftMrznxy/wH35Pc9/+jUTaIUgEYaJTFhfUIo3vGjzX9q46adzhKFsirKRMj0/alZ89lgqz8guzHOuMgTsnoRIxlcGdx1WmeF5+L6vVz1k9d1ckp84t0jpw7Hvuue+xI0EY/ce/VQZfnD9Da3LLzifuff/Vq0vzIBwcZfv/pLB7ymSBhtKmCEK0STtKsqIeUwK4yA9UossHTJSYoshKmvKambF2OajMltu0Q0elwZTjpJ1BaRFSVj1Yc5NUN0fUawFT7QETzR4P7Iv52ffN8tjRjcxNOMzVEyZqhlYK7nrN2okZuOt+Qs2LaTdD9h033PloE09KXKXTIK7wKLLlO0oUsXa4+YURF1/U58jJOnMNij7HIGEwSlnYUTiOm1ZiWu/6yp3wyz+6yH/8A83XnpljFNVtMiw2NNIabt/FgtzJVi+d97ZKleQrnJKiBHBRAjlr9EoBclMFeF6hWKy8663MBbsXlYyJrtapZ3ax5yjOnz3HPfc8fPV/+ukf3XnixOkTO3du+9YDvN85i19v7zp38v7fCIOVNyfREMeRSGEDKKVNKlGsT5oHHrm9ZNBJJkfEmiUt84dN7mmPuSRr3JKUucfBLQxSZbZgWvOiUtZ2DJ6jcV2N72p8L6bmxdT8kEYtYHpiwEpvwN1Pwy9/dBNPHp5lNgX3ZN3QqguaNZF75dZ50Za9PQvwuh8QJgmjYY2asheZFKJSyZclUmyg6Vgt7wQEoWEYiRLANZ6X4LkOrivtVAHp5gBHwDW7Bb/84yv86p/F3Ld/hrOdNqOmZDIxtGJDLZ044Lsm9f4zJ8Xk7J1JlQzg+edNP3QZ57lCTE9KtqoW4K5KSlvNWQJ7BeiZ9csYuE1OAiDo9gacX1h+8xe/fF9y040v+HdHT5w9ftHOLd9agAeDwyRR48ag98Rb4+Ezdo4JCcYI65BkjyljZ8DWZStJiVySWFCLdGnLEjZVKVIGeHaIy6owOwl23EPG3kU3fjEcyJbFuo5Ox0wkObh9LwX3dJ+FlSHv/tMGn7l/jsX+FHMTkrlaCu6a1d2NNLCs+5KGb1IGt9q75odAyB2Pe6xEHjM+lXpsRHWFShLb/ND2HV593YAHDoT0Ip+JvGNd4wW2Vt1zLMAdZRuyhbQJGgxctl3y6/+6y+cfGPJLH9zI6cUphpMOk56gFWsaMfiRHb3sKTvQyM0CTSnyIDh7LAfq5QtTiLxXJD8/MCYhy8AuxU+6BP5yHmMc5FkCL4vT7J9QfO3hw0zMbHqr8lp/2usPjn9LGTwK+zhu45Lls1/9N0H3UdpNm2AoZ7jUWCIgZ/D05xmgc62dgzqTIKawocZZuyxL0gOdMUuWbs5cAJUBXBkcaYFtezttf6fnJnhuTM2L8L2IVn2I4wy464mEP/xCm8/ds4FQt9nQFszWrCyxFmDmk6v0LlLmLrN3hOME3PvsJIPQYXMj+zzjDJ6tbraUtOYqXnz5kFhbgA8jYbvWs871QNvg0Elnw6T2XjbcziCYnRR8z6v6tPyzfPALQ+5+dobzUZ1BTdKODU3HWJA7aRyiTBqXmBTk2TEURe24BEnB4uM7CuZSJRtRwbg2L3cPFbXnGaMn6wSnSYkAdf7fCoLE4ba7n+G6a/b+m3f8o5c91u0NDrVb33gk3DcE+O0PnGQ4/1liprYMu/teaeJFPK+GSmJr7ucAtnULyhTMrXVZkhTsXZEjmdYmTSZUgF2yHsr2VT4cqDSvME2mSJmNdtNpzXcKbmVrMXw3wvMiam5IozHC8wZ89HaHX/njDRxZmMb1a2xqCab9hLZvaPrQTDvs677NdtbShJCtX0nSlcDKk8VuQj/08JTCkyYPMCl9lezCzmo3wtil7o7YNDlkddBiGIl03JqNFVw3SW0+ldqdKh21UQ5cbeXjm1/e54YrFvjlPxnxkS/OsRw3GfguTVfSdmwNju+Ap8ibIZws6ZPPoRF5FjhLAJVJpSpWykCnsgJrU5WahTYfu68xG0rZ6/S92CjOzHe54/4Dr+yHesuZc91DxuxHiMv+vwFc64R7T79hlwofft+cvo+5dswwiIilQiubTcvYyNGywuLGVCWK0UV9QxY85gcBUZIkYkyaZOA2BZuk2TdZBrg0KGlHTxTMnaQgj/EcK0l8L8B3hxy/EPP+zzf59NdmOHphinbDZboGU35Cyzdp6j0Dt0zBLfOkUC3V3r5nL5x2M+BT9zocOlGnlk7gytvFKFCej3EwVodHscNlO+E7bujxh7fO0G84tNPZI36Yxg1K4zgyHVtHCeRuiVLtedgxK/nZfzLg6t2n+YPPTXP0/ATLcZ2B69BUgkYKdE8ae+GkLlO++mXHNbMPsfq8yHSatT55RkxZ6UTum6+1FE0ZxKZqMuTyJAV2YrLiOliOXO57+jF+5Pu2ve8Hv+uaN2jd/YZS5esCfDRK8H3JHfc+su3cuSf3TE5doO43iBOJlBqdqKI1TOu0uVfkjF4U6pSLd8jBb8rsbURlVLJJTxgZY2cgFwWw7WM2StmC27omGXsnuE5sO3ecGN8P8JyAXhLy3k94fPDzmzizNIlWdaYnFNOeYcLTNFLmbuTpe5nWqaTSJPXOc3B7NnsZRCGHTvv0Q58pP3VxsqRT5kpkWVhTqkmJHNpNh93bQpQ/ohe2GHqCemQIMoA7SZqoUdbHllkJ8HrBq2JuYsCPvXnAW28+zwc/3+X9n5xhcdhk6NSoOYqGI6grgx8by+Zpn6wji/KGLMu5hslZR66MOyxQjaUyyVEisjKL53FaCvAkLcvIOoyG2vaFLq0s8MzTz+zZ0Gpt277zpcdNEiGUy3Pdvi7Ak/AsgW7NXXux+MSm5GF3drJOlIDrJEht0FIjtS2hzPS4yeRImcWzYh0zBuwU8AVji+fIUJqSHWhyYFfkiUyr5FRiAe4kOCrBcyNqXojnhnRGIfc+Kfno7W0++bUZRkkLz/OY8QSTnqbpGRq+oeEV4K75Et+X+Kk0sYmh1JlIAe65NvN57Jzh7kcahJGL3zRrAsx8Vcw1uCWCMFK4rsNrbujxsS/3OXC6ybBmRzMErsGLwY00bqhRSlrfWorUmi2AVfHYtaThO2ycHPIfvnvA5TsCPnJ7i4f3TbAwbDJSHq7rUHMEdQl+NmAps1elsfkEQQnk1ZqV8eKsMqNnBDXuiGWvC+0tSmye1umkrxMtCA2EGkIt0A6cWJ7hF373mPsH2275RL3decHyan/hb8zg9UZbBt2nb4xWvjDRqHUxRthC+TQw0VqmGjxtEctZW1bBPSZL8nsG7FSilBm8Uvhje3Qsk+cpZZ2Xe1rdbXBUYgGuklyOOE5Epx9xz9OCP7q1ze2PTrDcaSHrNVp1xaRraHuahmtoeIa6R8ralrnrvqTmKWqeoOaRVujpFNwa37X6WzkBB0/DmU7NJlZSfVtNnBT1M7YP0oI81pIwdNjYFlyyfchTJ2MGkUuQzvj2Qiz4VDZZN0vUgBzrzMkunsyGjBJbH/6O1wx53YtW+MpjPT78xTYP72uz1GvQkR59z8FTAk8KfInt4ZR2lzoliotUibTsdx0GX1O/Ms7kJULTlAJPI0gglyNJ2hcaG4iMIMrBXyT2zq0m/M8//urEj7zj5htffv3eW/k6w4O+PoOPTvhSRr/n81TTaQ5yFWmyongjUVrYHsi00TcDeBnclec606ElgJcOSIUXKtLEVAr0rSzRqebWKJnYgfiZmyEjFnoxdz3i8IV7Wnzm7gnmu01ErYbbcmk7MOHaTp66Syo7oO6J9C7TktNUd3sCP2PvDOBOjOfF1LwQYyLueNTnxLk6s9MCV+pUx4qi0bfEdqZkoSaJYhi47NwoeM11Az59f0g/chlGgppr+1W9dLJUsUqp3K+2c9QpjqspzkmS3uPYoe4HvONVQ77thiX+6ms9Pn9Pg7uebDHfaTAUHkPPwXEVjrAjPVwpcYVJpZZBIUrSsGofrkPmFResYG6RB6CZBk+MBbS9Fwyu8yujaKfTAnoaHnjyaPOffefLfu/Zo2cuB4Z/I4A78m6gg9c+QxI7duZIWY5kB9Ko0nuyIktM/nv2vcpJANs7uU5NYCWgLAHbDui0kkSkAHecBM+JqNUiRkHCgTNw/Kzi41+a4NaH28yvNMGt4bRdGkrScg0tR1N3DXUXaq4Fd821Mwltmaks3UX6c5OCXOcg91zbnnbkrOapYz64brrMm1KKXlRQUA7CbL20IE7sOOerdgdcsa3P/jMNhjVBIxb4kSFQpNaeTtk7c1MyC7LQKrnPnifdVDp9wGUUutTrAT/w+oA33bTKbY/0+fMvNzh+tsb+Mw3CVZ/Ydxg5DlLZqb4KcNLHjMlz6UIR/K+55W5KAWpNAWpNxtrZz2zjcw5qk5TAnRQeY2RYXV3ls19+nImp1teD8HMD/PDx42Lf6f6/ueOuX5lNAp8X7Y25fm+A44F0BDpSRGHG3CplaFkBfgFsWehuRApqSo9j8M4i9Vzz2aSGlSQ63eUhwfftJNU4STi/BF/6qsOR03XufLDOmZU6R842wfdRDYeao2g6hqajrYvg2sH5NdeOa7Mgzu4yvasU4KSaOwW3m+C7lr3thRVybAH2HW/gyqo9mEsUinrw3FHInBSd9jXGLlfsHHLJhgFPH40ZxC6tSBA44MV2JqAqAVxKgZCywuQwbr+JPJjN+iijxCVwPdr1kH/62oCXX93lzEqXOx7yOHrK57ZHG5xdqpEMXbR0iDyFkNKuFGlXviTNeEIuW9YDeSXQpJylztyWTKPq0j0DdpI2sFpQCzdBqoQXXTHiRZcE7Nh05+wPvfMn/80vvevoe9qTF60bvj0nwH/9T+8hjuPv+fRnaPaHG9m9JeCqiwJeef2IK3bFbJnWXLwzQiFIIllZEqtAF7mkoTTKoWgvGw8sTSliL1g7lyIqwfUTosRw9JTgqaOKLz3Y4OljHs8eq9MNfILQB9dDtV18JWgoaDiaeskH9p2sTiMrm7V14X4qSzxP4XkyvQBMob3dxGYWXavza16E0SEXliWB8XEciScNTslmGyPwHOSJqfY7hrGLwGFuOkSqEf3IZeAI63RERcGYo3QlAykzkxogG3ZEERNlrWXZYCQ3Ufn4iUHgsWkqZMfGiBdeFDAMh/yzYx2ePu7xpQdqPHWsxtGTNaJYga8wUoGQJLKUDcqTFOtolYo4z3zg7FGXHsfuKbAdEvbsjtg6HXPZ7pCbrw+4anfEro2GKD7Z9KPbv8dE7nv+lxj8Qx/9IqcXeupPbj8kFvoNokTxxFGfp45E3PZAxIQbs2NbzFWXhbz2hoBXXxuCsW1R9SapzpagBXEK/iyQrDB4+ZI3FtCk80tcx9iRE9IQhYbByDL68dOSP7vdZxApHn+2xuFTPot9jyDxwPFAuai2wpOCuoKGMtQUdpyZSguPlGVtzxU26VEGtyvxUlnie+B7pK6JTZm7jsZz4zQjGlGvhcyvJHzpvhadns/UhMBJvfis6Es8F7PpUkCoJUGgmJ1RvO6mEbc9PORkp8nQlVamOODGBjfKPOvUY5eJtQspzzqR+d/QxqmUTCSJxEsUiaOIXTv2IYpca6W6EU0v4uVXxbz48oC3vHLEwVOSJ/a5DEPFR77U4Nh5F4RkMHRIQpWVb2KcDOBjllE5fVsBOGA0IjEIbTApsOvNBNfVCKN59XUBr71hxJWXRuzcFjPhwmwLjLZySwmHZPisGMmb1enDn4+3Xby2Xvw5GXzrbOu9tXh0jXEdO2MtkWjtsDBwWUgSji1r7nta84kvxcxNxxhtuG5vyDtuGdnujATmJjTXXhXSrKUrjhF5DmztORf5cJ7OQPDEkw5LXUm9Jnlwn8tnv1ZjFClGkeLceQ8tHCLjooULjoPwHRwp8ZSgJg21FNi+MvjK2BpwJ/V8nYK5vawvMwe3Sns0Rc7enqvxvKxAK8nZ2/MilAr56mOKT9/fQnmOtdsq+vu5GTzzwpMkczwUo5HLm14y5DP3dvnIHRP04xrNVIe7mQ6PsqSMybuFhJA5wOyfkiWtXwK4Tkc7OJbJXUcROw5OnFigqwSl7CD9qVrMSy6NuenSCCMC3vaqAaPIjnP766/5PLTPo+4LFruKJ5726A5kqpIEzynK850nbGvgtddGzE4mtukh0bzjlhHXXhJhNMxNaaanDI4tyiBJFKORItEOcewyClwGkbymPjvzXuDHvikGN/EIlN/+gw9/+tIoitJMgmM/sFSgHDAJWmsCrbnQ0VxYtYHAwZMNPvtVeyWaxDAxpbnxmpBW3dYBr5ueLF/qqeuw2lc8/JRHt6OQjrQzUYxjmUk42LnADkgHKSWuFBbM0uBLjSctEDwFnipm9FmQi6LhwbGNAFnjcRncluHTslo3Y/CkdI/xnQhjQs4seoRBDX9C4qVpb5VW5VWymIKCvErWad6drhVh5DLVUmyfDfHEiGHsM4wFdccOwcxqSLKElpLl8laZ/y37N9KAX+sie6p12nxSSKM4TtK8gUrnssdEcYKKbC7BUQlSxmyb1emKobl8x4jQDJGOptMRPPyUw+pAonLFUg2qK2c6LcZq1jQvviZiYkpjYruy15U9dlbmOujInn+dSmBj7HFKEsf+ThKqwaB/6dyet7UvLIy6G+dq34DBxUnAeY9JnnjV2cVFYt0qoiWjCo0kxzQTmtgYOtkSpDTdVcO5rzZLX3E9gJf1W3pyhEBnWy6Q1pwKVQQ5UqZWVgbqNO0sSTduzXzj0qOTdtIr0q33yMFt27oUXgpuzyEvMbUMnrK4o/HS7KjrRvh+xKlFzZ/c1gTHszMWZSnBUwFflcgyds0ywRZsdrBOGLm883VD/uquIc9eaNFPXBqx3ZTWVgGaohNHZTmBcrCXlS5mUkiWCryyu85rYRxH4SZ2XoqbAl3JImlm68bT50Kng4MSHGEQJmG2ofn2l2kQSSozAZHtn7HOOc9rjARoRRJZAjXGStqIwubMYjedu3NFbOd5CbE5yZceeepVl4YvfY/W8b/8hgz+0KMfQynpnZ4/RKztj2WeukrdkXK+uRwFQ6ZF7PvKkLglcK+Lb5H/22l9YCV4EVLmLWhKgCtsWtkXtlrQlfa1I0lrKtLu8ayQyKE0B4V0Z7aiq74AuMxli++ZvKXN83RpcE6Mm7K350RIGXLivGChW0M4Dr6kIk9k+WuVTndZOlSAlzodYewy0w7YuWnI/vMBw8RhlICfCNzE4MapDo/JnaUiha4qnQpZbGdzFIZEl/+eIEk0TqJJlEQ52fblKi1Ws9vKKFnchdSoFOQi+9vYKVlCmtz1yoCeOWDrAbxI7hVxWWZKMJ4/oerMke6I56iE5ZWDfPErH/fWy/esAfjP/EaIELDv+DQjDA3XAguK4pkEkXubZRvIFk6WgfyNZAlpV06psF4IJEWKOB+zLAyuSEGbSoDsef5eSvZFKSh5g62nhAV7BdzSPnoZ0LPgMwV31v3j6FyiuI7Vp54XERPx+XvrXFio404ovHINR9lBYUyRllPXperLLOkzCuwE2ze+tM+9T47oxjUGjkM91oRpOl3JoiAqKzgTQlN0DmWBZla1mVmH6UwVA4myf9PRglgJnESmu9jZWp44BXqRTNN5gk1KXUq8pc9lGdypzZvvFfMc579UaEduQlBx34wZA376nybaIGnylpeEBPoIYPjFrwfwD370dtqt2ss+8qm7b/CTVWY88qJ6uzOAKNLMaZ1BOfWafyC+8cYruSDJkgUCVPYoDA7kVpsSxUxxJQuNqzJgZwM9U3lSBnY+B0Vh+xHXA3gWcGa628lkiUn1drWW3HMjPDfkfEfz6OE6OB5OKk+cUoFSlu0TYwi3x6lUdZdXz8ncE48il+suDpiZHNJZaTCIFQ1ld8ZwlZ37qBKDisoAx4I8/0NyrFJTpH2TabJOaRItcLUgUZJEaRIliFOQl4vXsnIImYG8BOqsZEKgU5CTljRnmegiaVcpxqjUr5TZvPSZyyAfy6HYC9gjTlxcf+aG6c23vOz8sTfds2l34aZUAL46jBglfPsoMtcmcUjLdWxHBlkVWHFSyhOlsg2OCiZPDf1xUKf2SdlMyq7yLCtWgMPkDD5ewulktRFpDXhW6mmbi7NOFStLVN69UgA7a7617J1qbodcb2eWoGXsAtxuXp0YIYj43Nd87n26hfQdPCns/O28grBooysq/sazmdXCNOuJKxKtGI5cbrpyyHe8vMf7P9ciTHz6iaSWGIKYdOUqV/3pVM7psQvquZgctCPTXkiRgztREqW0ZXQp09ESulSKXK4BMgXIK9nmjMmzRbokU8VaMi+P3CtqWMZkSzkLXvpvjBYkSUyjHl4rRefbhYzuWZfBnzl0hpmp5ut+/yNf+SfHzyxS8ySOLNcQFAn1orbA/hFdSkeWFYmhcr2mX7bE4Cm4MwDIEigkRc1DebRBxtx2C5LsNSmDk7dhVVg87YZxVRXcdpzCGHOnPZte2t7mOlnDQVy6R4RE/PkdbRLjo/LsZTnALPoaM2ejosEZa9fT0jaQJFmw6SBwecerB/zp5wNWdcQwqTFMBG5MzuJS2s0FsqIzaxeOr5+SwpoUJZALEicd3aBSkDsGpa1csWP2bAWjzR7LvDS5sCjL1Z1FGXPelJIDvZAqawFeXdsrIM9/XpYr1VomgSAKLmCS1X8ytfVNdwaDE7f5jZ1jDJ6ERIFzsYp6e1TUoV7ziubQkpQulo6CxctLzTdQ3PZLZ0xekic50MfKM8u7QZQ1Zwb68mwPpUShxdOKu8qwmxTYjhKFk5Lbgbbj3jYmm5S5iwDTKbG374Y8elhy6GwNo1yUlHhS44zXaZQE+LiLkt3zTictSn61BXkUu+zZEnHFRX3uP1gnUh7DWFCT4CYGJxapfEu7cOJUhyOtXKj8SVFicVGSRsUoj2wmpKN0PkNSpdKvAHdWC2TSMoGMyclXD1ECNyKbmLU+e693M1nzKmNsnU1XyGtbipLsbj9CNpM9jbno4iTSt61h8H5vFXSAJ0ZMN23hS5SICsBNrsWLK8+Mf7Cv87Fz5i4z+TjQS+BWec13YbsVkkVYW14U4LZBpsi7xZ0c3LIC8PLwH9ttTw7sPFuZM3eC59jEju0KijBE/MUdDZaW6gjfsb57+SIcr0EpyKliEWbNt+U67tyb1ooocpidlrz9NT0ePdwmSGoMlEc9sVo8K2dVkhTc2VqhU0+8HA2VssnZ30znPY6Pa0i0ROlsRTL5c5lvq55qcFlsKmZBLYvmiHEGH2taKdJ9awvtxlVAuWap3DiTSbw4lvQGErGoqU+vEkej/L/PAf6xP/8MSinOz6/ge4oosf9iosuMTUVnj49y+Eb8nbuNlE5++bEM6DKLV8aLFYwtywyuRInFM7kiUU4V4J6TDgBys60D0wynY3DzVLxOnyeVu6Ns586zJ+ATt7cIpIeSKs1eVi/E8QzmmmU5e8xYvNLLKtNB8w5+4vD21474o1sHPHm0TqRcBlLiJTp1jwQyMaXjZGx7mSivpzr9W9V9i8pMnmhwcgvRjrZWaUmASkwxrDOfyyLyCzoe0+P2fJaL5SgxeQbyb7TWl5l7neAz/R5ZIZkxDufOHOb8hYXCss4Avu/wGS7bs6Xx8//9vbtXuhfQWuQyINu8VJvqH2UNe68D5vJrMf58rfZ+bokicuCMj0OWJcbOgsxsapPjZJu8ptpbjYE7S9+7WWOytjND8haxrKczTu8Ryg05dMahF3qgnFSemLHy2PELt3pAqgONxrzwtBunSPw4NF3BpVtHPHkoJNE+Q+1RS2zNtpNqcCXsRq42sZSxpSYLMgsmL/zkrPrUyQeb2veygamOJu0gMkhdTAjIpmslWXd/bgAUwWUeeI6d7wwtaxomKi7TWlBVGmJKF2hGDFIZ6k7A7KbW7hff/C8a4Vu+b+A1dlqAHztxjoXFzmvbk7M/vbjyFK4jbdpcFCWeikJ3lz+JKa0yzxVQjrN39jOBzeeUgVAAu+hjVCVWVJWhmhnIKWqkVQnU+fM0yaNIvXALbgvgYiiQW5YnZfZWaV+nF7Lc0/y/f9liaVhD+K6VJ9JUVpVicM7X15yVaQLZnJicwa2jEscO7YbDu76zx1cebbMUeITSYSglXtpDWYx8SBm8XE8vdF5Ga9ApuDUGSdVZESmDmzxIz8CupEgZ3EqiJHdRyGVKocOLdsJCpmSBZ2EVVo7N2Cq3PsDLx6wAuzH2ODvKIGWPudmJn+6vPHVPHA3/Kmfwrz24j1rN45l9J+kNE6ZaqZaSY8xcBvI3XmHWBBXVwY5jrE2R1s7+dlWiVAfT5MCWAqmK8WOqBGpHSpxUkjg5wDPNrfOg0nV0Dm7XyeovquztqgjPC/n4HS7PHKmDdJFS4melsSVrM98jPv2Sz1lNWGLzfKeKkkyJtUw3eXK5as+AN7+8yx/dWkM7PkPp4UuRJ32UFESlgG6cyUWZycfst1yqKFDGrgraCAvubEpYOky1GCtRzKIpJtPaPk4hq/Ikd1YqGChefzO358JcBnBrC48IB0dZXQCdBOQAF8pFKM8WMEEFZOJ/4Y+tAXbJLbFvZ4X5Zs1AmYpnnAeWomDznCG/EcBlAfA80ZMB3Ng52akUcVXhlril4UCF5rbs7Tp2atVKR/PXX22x2PGhlronohSMPYdEIasRGSeK9Wy7vKdVopPMTXGYaiv+0asGfObeEUt9n1A5DBOZ2pMidW9E0YwtC7bMgG1M0fWjczYveiOdzFlR6fN07LVOx2Fnx70McpHunJdLyVSe2NW5rMfFmFwRVYALgzDPjfZCKaSgynMqpsCpsJlq35cksbIAf+Lpg2zcML3rC1968Cfunj/HREPhOtkBEhleK4fq691E+mEyAjOMnewS0Kt3sb5EyRInFWBXZ3+XO1zscHeq4M52NsiYW5WYew2DZ+MmipETjrKZy2PHBQdP1ND4COnkzblF9WA5fhAlV6P48uXkWA5yREmeiNzJyNvNEgeMw2U7Q/ZsHrG0v45JPMviiZUpTsnFKdizXOiV1QvJws41KZubwifXspgbWY5tlLaY0OnOHXlCSxZklINbi3SWSqbJxZhUEWN4MPmL9bAmxhBWnsoiEAhjpRW6xvnzyziNyZ/YsPXFjy9dOHjckUITBsGmpm9eR7TMZNMrtPRz0ve6f7n69pjeHn/MZ4VQBXlVnoiSMyFKwWYBaMvgpKOAyz54+Z5uaa3K4C6BPN2v3k1LQzP2Vulrx4lQKuLz97c4tFgHr5Anbsm6rFywrB0XseZQVizYUoN2eXezrIw2dLhoNuSNNw146NkGaJc4sVrcTdLsblKVSgVzli25FOTGrLHcjBFomT6X6aois7tIt6Ux+bjlRNmiUnteTE5MRcKn/Dxl6VJ7W972Ugb3c7hO68Evp+DE/rthWOPC8pDWBvm6iTDcNArNcSdL9/quoN3IuuLN12dr83U+QekDZsz1nPZgdhCoau1Cpoi8DHQc2DmbK1Fqwi2BO51PWGzbwVpgO8WAoHzEm6NTkMdWnqiIeiPk/gOKv/pqk+HIg4aDIwWuqEqT8c9f/s7PdRgr+nvMGSj74lHsMNFyeMvNI269d8CDBzxM02WY+HiC/EJT+d8vdHBpLc1BXs5Z2OAzvcCUZfNEWj2uS6ydBfU6DS6lFiX9LUqBbjWGKnR3ERfY90QO9DK4v3mAZ9/I/naiBd2+wyiURDFEkcAZDEOkEzIcRSSJwXEtkMaLANdEtqJ62NbgvMzWawA+LlGqE02L4FLkoMnn5anS7g1KpLUpBbgLkGdlswbHKUYoO+kmTI6qAt3N2drelbIBpueFRGHCrfc1ePZkA1wXIVUKqnRuSCm4FLJ6Usddo+wYFunmdDJrKZOpTTYtTOaeeJI4hKHD5TtiXv/SPk8crxPEHol0GWqFlzD2WTIvnDEGt49m7LOgsotNo5WdMWkMGCkwCqQp9Hi+okqQujTLUBerhhwH+Hhcwhjwv06mswz+9YpT8/onk7llMVKESBnivP+PP4dSikG/i5CO7cigqhG/qds6jgmIyoldo7lZD9QZY5cDzGIHgkKalKzCnLEzgBeTU3OJkjK3ZWyTM7WTPxbP3TS4dFSE74U8fUJw270NBkMPmi5SZJWDlOzBdbKYpe9Z5qWsFiXzWauD5McSPqUCrDByabVCXv+SgM/cNeKJoz44HiMt8VItrrTdYLcsDURCLg9IxjKIqnByHEUhXaRl82xVyYJ8bSzYpS4SbUKX3ZT0nOuC2cdzHGsAPgb6cZJc91bKwxQYtZ1Zi+ceIuw/Y2vdl5aX7BfWEV6a2n4ugH8j+b2u751/cFG5gtdlcVkCe1lz5yC3eruczVQqrTBMKwptO1f63CnPBx8Dd3p3sym0aYG/o2J7dyJcNyI2CZ+7p87dT9eh5oC0Dc1uqYS3UhpbvpdfrHeOKiUQWTkreTNyYrK5JgXQg5HLK68a8MaXDXjmRI04djFCMRQObkL+mURSsHjxEdZn8nJtkVIZc1s2t68FUotch+d+f8bo2WqbMng+tHMM3JWAswLywlVZD0fjKmHcurZ1Ken1KhTdbp84HNrs7O7NHlIKglDQ7yX5PinjdSff6CZK/zfO2MVz+0KWAV5q6yrvLFABdkWqlNP0pbsaA7cq3Z1iE9QM0G4J1JlzYh0T+6hUhOdGPH5c8ok7WoAH0kUIlXcRqXQjVTnGTtn3yU6LyI9J6VRloKLM3CUNboTdEUOlox/yfeIdjHF4x6uHfOm+EQ8fsZMEIq0YJCIt+EpBl2TAKdWBVGBiVw9UtRQj+6lKQa9lup9PFhRn2lumbC7sY34OdWlgpyxd/JUEWCFJiuP1jQJNs+YbkK982c51hl7goxwXjMbZsdlBKUGvbzirFaNQI5JSIVDpZKwB9NinEKUPWPY5Cw1emrI6prsLqSLSZEFhPWUAz+fklUGetqYVm03ZnR2KAfgFuCusXXrMGmszqaJUjOvGREnMnQ/WeepwHVwXpA0uPWFKk2PLgZVYE1iJtUesZNNlx1aUXA2qWjxtZdMqdVQShyB0uXLPiFfeaFl8mFgWD4THSIOTiCLwSzK70AKqkCj2A5TricqrtpJglEEagTLY7KcRCCMwAqQRhVQpBZUFe6fnVZcv/NJc93XyIPYordXiYj2wlT5vRg5RLOgNDcMwQRur651WI8ZRAp3oIoATgDTr1J1k0e74aROVD1U28/MvUvpiuX015phU94gZqz8R5Hvv5LsXZ823lYaHYusSpcbAXRqKn7snKkE5JYCnEsVzIg6dE3z41hZB5ELDTeUJeWuaKu8SnF+4RfxR0SvrkFEZ6GWZUt4cQJv1tLhD05d8/+sHfO7uJgfO2Isv0YpBomyVYZImfxBWfyei5CAXIM/Oaxng0hRaXKYaXWqDkfYcGSkswHUpVsqYXJdjqXVWthKgyx59mQQrAH+OwLP47PZJufQ3CDWxjm2G8y8//R82Dvr6/7ntrrOXRVHxJQsAigqz5lq48l65KKp0z9wOKdIakupdZUufFGkZpkjn4ZVckbF7NjKh7HHnj06hu62DUgV3ea+eopgq3f3BifJmBtcJSWTIH322wZ/eNgm+D6qGUg4NZagrk46jIG9wdkutcUUmtZyIkhSTYakEqEUsUdiO2UUrJGnjb9ELqaRBGM32TSFnFiWPPOURCzt5QAuFELaUdr24pwoYkaNElF+bkqgxRf1RIV9Km09RLTsod3atey//NyU3KZ9CTPWxsgVK6e+wzr8rhO2p3TAdsemiKzbN7b7hy877Pro4efLU6A0HTgzZvqGO78k8zZvPcCkfkrHLqaqZSlqqbAGVnhcJgLJ7MlaDUmbtSh24qWhvmYOhkCSqpL1VvtNDaSMqZcYkSVYpmLF3hOtEHDwr+dhXGrZ8QVr2zjv3s78vqIwXlqXvXQ40RflFDqAxcOhybUgxV9CkY6mTbDZIokhUqsUTh+9+zYBP39lg32kXZIgRklHi4pDWi2THOknhmWSJnwyqJelk7GuDnY2VfTaZgkgakMbKlkx3S2P/htGpP67TALWyOlfZfF1pUnqvjLO1F2WBO1P5fStTax5snB6wbff8G/xmPOl0V1zikUvLlxUnQMpqgiZj9cofWWPpjAM8+3DlaHpMlpR1rKw+LwPcdpFk+rv0PANyVu2WafASuO1EVp0+WjtQKY3K/G4Vo2SMSuVJomI+e0+TfYcK7S2FtN533kHDuidQMP4658a1Sysl/V1mtbFNBLLOd53YmYBZCj+MHC6/OOBNL+tz5GM+YaJAOCTCYSgETpLadxn5kDkqgjIf5yFwqpeMEShj8gIQI+1nVGXGFKZI8QvQ0gJfZzKl5IOXwV4G8hqwl8lyjeRdi7si3sNKsVRWdfsecVinXmvg7NjgUxMeFyYdXDfzmYuAqcrUovIPf70rrWoHjX/BtYmA9Zsbqqydvc5YOwN7xtw50FWZyQvdrbIgMtviRGocWQzNVyrBdSOOnlP87qfajKRLNkGr6JpPV5ByDXRZT1aO/nPfKiNlUi88a2ErUvZlDS4q9SmJdogTFz+J+Zdv7fOXdzY4ctYBFYF2iITLUAhUUjgashxsjoE88+YN4JQbyhFIY9PzBpOyduaJ6wqbm/TvaCkQplg91poJKfBLBFoGO+uAez1/PHtLygKUQWToD11q83XaQQMnM+t9z+5lXv0QVUCXN18tI3/Npqzpi2IZKj3P5M86DFgGthhj7SyRUgW3LiSKrDK4U/G3UzBX/O7SXVoWd52Qbqh5/2fanJn37Zg66SKETOWJqfje+fPyd6+wVDXRtS7QKWvSrPGg3KOZaVCZ3/NmCKlIYoetcwE/8uYev/xhj05kAwJjJIFW1jZMss9hIBEUCrsAefH/9icqvQrT+U3FoywcHylNweCmdO5Sy9DkDP4cAWcJvDrDVRlDXw/Ypd8xJv0b2m5YFUeCOBboBJxhoAki2+2hlBxzO8b/yJhsEcV7+YfLn5dqTLJ/R64FwzhzZ8AuWLuY0pqzd1pwXwC6xOSOThld59LEyhFdkioZY8f5o6MiHD/ik5/zed9ftAm0a+WJULk8yZuKxyyxiu7Oj90YCzwHi2e4KqzCMuizlL1JN/kqldKmrkqsHWpOzI+9rc/BEx4f/KzV4qBIhGSkbcApE3IGLwqwspNVnphQ2JUW1IVkMSZlc1F4z5Z0bKmrqSR+rIzJ69JTPOgyyVUwI6r4oQT0McYex2V2cYgU5AY7EbhRMzg1X1L3BZ5nG3IrgB77gwVXV0Gef8DSh1prBa2tTVhbmGPGJIopBZnpFt3lLQNV2XXQJamSgbnE5LKoDsx1d/5oZw0ur8BffqXBSpCB2wLclVZ7O6IqTyqrTmaXrXNCyvgua+0M5JlVWKnqG996UY/ViUuJ0gqtHeLEYcJLeOstAz59T4OlngIZgVZEWD0+Xl1YveSem8ltHqhICmX1KVmwaVIWzwGd+uTaMMbY9nwibHmrIJUyUFxw62CpIlfGmHsNBtPnSWIYBlALwGnUBKOaouYppJT2y4m1J6d6JVWlSgXA5T8o14J9TUBWbnvKAVMaESFNRXsXVtraoDIbTlOAO6kEmFmQme1z45TY223EfO6rNR58qo4uaW/b1JDJk2q9Sd6aVWLvsuc/fuDX3lL2zK2uQqKMN0OYctBpJMoUvnicuDg65sVXhXzHiwb8yec9UCEIiRGCQDsoIewWJFmgKQpQj8uVzBo0RpRqk+zxz3ellqVCMWlnvFSY29gL3pQwoDMSy9jaZD8rLM3nZO7nkMjrBaBhCIORwR9qnMHQbhUNtuul/HXXOx/PtUysJ1PGgZ1fBNIUUmWMsYUYY29RBXbhoqSvlcFJR4xJmTom0qS6uiRJMsdEliSKtO6J70YcOSn58OdanO95dr9raQe9K0GxY8NYvLBGd5d953XYe/xWSfSUmH3NVovZFoyVrnu7f459tNufbGwm/MB39LnnKZ8jFySICFBoJCMhS5tIWVBloBaVq7CQSfn/59nM9DyU2VzY5xmYM9mSrcT2Z9nsd5Hq7fR51pspiuc8F5sD36jNrVzWVvMEjbrEadYlUWA3WVJOcbBL32/NiVpP7I97mmVAIygtkVXdnS1d+YHP66tLzK0ywI+BPJ+RPf48ybV3xuJONg5YxSiZ4KS2oOdFBInm9z/e5u5H6/Yql47V3lLarh1RzF/JP2u2spQv5nWYvHz4yudlbQazcC2KPd7L5bPlMlrbbqYzRyXRxNJBxQ6vfGHIj76jyy/8vkcQS5uB0pI4dVWkFqXPZkFeGeFgbEsapc9nX4tSbJB21xsw0qQBpsgvgDzozC96U6lXESl7lwPKNZ74OmS6npoo4zQb/BpFCYORpj7SOM0GKcDtvziuEcv/xrpRbPkDjj3an5k1xe8FC5YH+6zD3qX95+V68kSavNvbbputSxKlNPY3093pjOs8uJQxrhdzx8Mun767QRC6UHdy7Z2zdx7YUrmv5+2XT4IgCzjXp+9yYVMxVbUMbuxI9jJ7m2KeuNRWqmRAj2OHeiPmra8ccvvdQ770sLK2IRKEJBIOQ0pSMvPGS3LF7jZT1eQmBU9elyLTzylBpd8ve21SaZIBPTu/Rgh0vv1gGniWeinH8VPgy+QW9LrgLh9LYz9nEGoGI01tqHF6A8FgaLWe565Nf66/FDw3c+fgxqwD6LUsLsp6u+wty5JjkenffD91+zrX3vkk1ALYjhoDuirA7aTg9tyI1b7hc/c0OHCuZqWJsCWxItPegtIEKbMG3Pl3y7+/KAH96+iT7NwYy5qZJTeews7BvWY4UFGjIqVC6gSpHaLAYe+miO94eZ8H93l0wjT9qq0eD1Fk+0BIUm+8UkZbnGWDTe7kIJLWbVFpS1vB5plUSRM+Iq0hz4Eu8vOuKR0/UzD8ONCrEsWsTxJlAi+RgxBQr0madYWTbcyaNQSY0iivskZc14+sfBizZrmpesL2QEDZYqsmS4oAswB2Ae7MBy+CS5kPZjcVxq4ElFkip+yiSNspr0n448/Xed+nWhjhWI1WYW8K7S3X+dyl71hNfFXdpudi70olH+P6uxi4NN7Klm+6qzU6kWhpfXElNVHiIpXmx94y4PBZl/d92iGKC5BrBIGwG/jK/K+XNENlaUl1BXYRyOEv0pR+xuakmU1h/02Trs4mB3qW+U1zqKKkvUUR9BaxQek4rhn5lj0XlRoZk850sTkEk2JW4MxOhvgyZLga24L6GOI4vYKzbzQeUJYYepy5q8CuZvkqDF4OKkvvZR53xuzFTLzU+x5zTGQGbjUmT8b2rFfp3jNWg0e4XsTh85JP39mk33ehrtayd17zXVpdRJHgqUiysefwjZM8BYOXQJ/fq7tEa53Ve5SALou9a7S0WlxKhyhKaDVj3nLzgFu/VufwuTSpYAdUkwjB0K41qXecgtsUYDc5qFO3hDT5ky84mZOSpe4te6sMfCUZWgZ6Bmw5tsrnxy53XarMLUr/Z39kSsfQoDXEiZ3u1R/EzK9ECDfCMW5CrRGyaXbI4qpLlKixctk0ECnbh+XHcXCv96EzEOeJkTIDmoo8Efnsu8I9ycGdMbcoD2bPnBNd2W5DlmSJlKljkjK548QEkeb2B5p85bG6HQ4uXQvwMfbOiryUEFSC4XypraafM4SLb4TsKqFXgV66a51mDzMnJd2KxOpuXcgULUmERCUSLRRR4HDLtSG3vHjIqS+4BNrq8LQSihiHkQCpS9tWCZEb2FnqR+XwyhyVtFZckAPfCFGQvbHn1Ig08KwAvcio6jzZU8zKEQJb1itgjZOSfgTxHHIlm1kfhMZuiuYYGm2Dc9+xi1Y3+8GtGzz3H0exIE6K9p/y4MRCW5cDyOcANgWQ12XvHMyUlq8M9CXGzoGdAb0oG606J1X9rfL0e1J6HiOl7dSRXsxdD3v8yocmSIxTOCdSIYS0+wCJIi1fZfCy47M+e38TScwC2dnJYVymmIpc0WRTr9JiLFE4Krkml9YbF9ohjjWel/AzP9jlwGmHux6SaE+kkLVfINKKIWVBZUqyZB1Nnnvh6Wqbfd40oMx0uEgvAE0xSsKU8QCFT76mCaLUdS/EGvyZnGCrwbsQWZmywfF8rr/Cv/Xbv316Vb38hqn+8tKFIyfOOz/a7dqzVq7+q2jP8Qq/8X1ixt9XawumykVSReo9swOLVLwarw4sBZR5QdVzgLssVZxKQsf2Wp5eFvzKhye457GmLSCWXloS6+JIQV2CL0k3uTJra7cr97QBOh+SUx1GlNW8SzXWMF06bsVrUbrozdrjmpFBaQ6gGJd65Z8ZmJ2J8R3Dg096rA5LtQVpmJlNES8qDi1aRAX438zVWroQSqxadYvGt25fb58nKDapqrp5dse1MfMj/axSgucqJluKqy4xrK6c+4F77jl4wLn3cUmioeVrdm/UzCqF9OzVuTbNOpatHAsux/3u8n9r9ZWpsHnFT65si1GVJnIdzZ3tMLDuXZUDy7QUNn2eeAkf/swEf/XVJqamQCiLTuEgpKz0Wxb9jV+nY77MPpUUcBUX5bfz4L1K5IVMgUqgWZ1fmAaZ6fxAkzK3MbqoURESqRWJcJDDhLe+asizR13e8wGH0I9LS7DAaJeAtLEly68n1sQ2mAKUqWQwpNnNdJlPDSAbbGaMjGVzaw8WC0J2/q3lLKorfJLhJ2XxkrFRTgblGdBMy6ejnKWw47GnJgTXXmLYMJPORblip2//ZRPju3GJhUuBoCxqLMZBXRyr8XHIZZCbMYlSdk4M4yN4K2DP/G6RArykvSsMLpOSk1IGd4Is1Z586SGfD32hyShJp+CLzBpMs5bCVLT3uqn5MtChcjFX5IoYQ/m6KsUiJPOe12Q0MWtKaI0sZTZlyVkRyjoJMi3OkppEO/iu5gff2Oe+Jzy+9Ji1CzNvHCnQxiHQth0tLyIZtw5TpOZSSggUmTQpgTxreihp7ux3cmBKkMZUSCLLs5iyHM4IxFTdlbw6NW8/y+YoGkaB4MjpJueWXDvnfMusA8KWFmISPNfO8Cs86OfW2PlQc0G+p866GjxLza/nnGQAL9uDZXCLYmcvtUaH66oHPs7eMikCTCdiEMAv/eEER8/4GKfYLbmivTOJVAH2GKBZB8w5hEUVz19HkI9vIFDNaJaLr8p6fG1tipZpxaEss7hCJBohHGSouWhrxH/6oQ73/ZRPb5R+GS3zz5XgMMoEblbcrQuQGwnoFNSG3GFRaUBpJGlXUgrmtCalSPKUcgbZ75RJL13m1sUXJVCLAuxSiCIGiMGYhCTRJMbF8zRGG5zdO6YRUhEGPXrdAUXt2BgTl5gKTKWQSlauruJiKDcDlGdGFxKlNHp3XYmiSz54qS8xZfOcuSuuSWl33tTzdpyIOIHf+WSLx/bXrOctM+YunBNXVGWJElXWFmWwjzF3SimUh26ux9drmHzMOSkaICiKmYwtZlpTbSgsg+dBp5YW5IlEi/SepFJFa667LOJd39XhNz4+SZikLA55VJigCHSmxdNcewnkuUQRJf9Z2H1UTZnNJbZsNZMo6ZRZYwrZMn5MTS5LMhuQCrOX/fJM8mUBqjYgEogiQxQn1BpTtGptu0X5q2+5Bc9vcuH0Uzz+8BcYBE2SpPQPr/kDxdU1DvpyIc/aUQHjDkoV0AXgzZhMqe7PWLB3UujyclKnck8Dy1rClx/w+eAnW3SGrvUAU8+btEnXOidF1rJcyqsqn3ut/s4dpUpYJvLXYhzQY6y9Bu8VoBvKCaCCtdOpsJkkKSeBhLURE6mQRtt6lVjRrml++G0DHnnG5/b7FTTilKnTTygFsZaMyGKKAuQGWxpLbltazzuNVW1ZbyZhdCY3CvmSrd4GkKZqrebTiKWVHQXuxBhxVqUvpuyk2N3iFlYiXnPLdbzkxmtY7fRwHOXiOC5SKWu1yOLqXLMUrzPEvKK7K/OgWQPsgtVNSdOOyZKSJClkSrHDrgV4UvW7pbUCZb6vug0spYyRTsz+4w6/+4k2h5c82waf+t32URbsXWp4roB8PXlSkSZj05rWqpGqSlnjLpRZvEis5I0QrJfGHxsSlBViGZ1vKisyqSIMQjrIyLBnOuZfvr3H8fMOh84IjFMWWAKkS5KCnDGQZxGeyqVX6ndDyuIiDzQz6Zqz+Jh0sRxZnpNjWbgc31AGu6mC3criwhM3ZI3aBqkUjuviui7OSg9qCcyvCBZWBM16Wv0FYwxcAjWlk1n6Muv/d1W5UuwEUPa/q5sYqVSGFExe0t1Kp6/HkzkF0JVKkDLG82POdwS/9IE2n76jgXFVkY5Ppcl67K1KF+Ba56R8LLLvXcJvidELHV4FfIW1x8Cevbe2JqWswzNAlwPQrPNHpkVN2fM0+Ew0MRpXWlelE0h++tcVF1YF+GW6FRicnMkLeZJeaNljytpKgtGpfMndFJEGmVUmF9K6JabU4GJKsiQLKE3pGBfH0+Q/z6zBrBUuk4xSCGYnNRunY6baCYoE5/xqQkuL86cW9G29aPp1jhrhedavrgCV8lJsKidyfEet9YBd3rtlHOTVHXN1xTkpbx2tShWDSmRsbTOVMnVN7HNbaxKi+ey9Tb78UCOtNcksQZkyeMbexa7B5XmDZTZZUxZbOrDjzFIhbLEeqtfKlbWzQ1KPWBdVeuVKQ5m6KZkeT4RAiDTxkzorUkq0Uel7EmFsxaHvGF77ohFveumAP71VEsbCpm2zDy/B4BIbwSjtDDaiLFPKmtyObDZpQs7k2tsWZMlSVaJMf5Y9ClITY8xRyS3C0vMy/sbLRIy0g0eFMFy1d5pdW6PbNm5Mzk80QtT7f/+9/KM3vGq15rmrUujvG/QWqNckjlNqBxOlZI4oFRyVHlXuOpl8nENe7lquCix35pTqSsZLYWXFCjQVcJeZu9wR76TgdpyYRGo+c3ed//YHExw776dNDEVCB+kgpMCXUJN2kL2TjoHLZosXyZxiNJw9FsVg/nzKrQApJfm2KqI6pN96tnIsIUYxB6ZizZYC2nIZQ/5+yb6Utpw0C+TWliaPkxGgDdPthMsvjjk1rzh00rEJn/xqLK7WzAEpxl+M/874lTx+kWeUuGbRqvr/5Z+l0ozSzystfmUiyLPuAiliLt6zF7+26d8//cyZB65+wWvsHj11L0Q50KpFJPWYml9o8fWop2LAM8bepbR7weimKlHWCyzF2B7omUxRhWsiS1IkA7csBZSZJei6CccWJR/8VJMDR3xoqVyS2MSO1d6ZNMn7LBn36Fm/Y14UwWZ+ykU1oKx64EUgXnAQ65x0gR1GX2L3kosi85NaTd9LAVrbXYczb1zkzC5TLGo79cpYbzwKDJftifjBt/Z46CmP4wulpSoPOq0MiRGMUqYkHeFmdLkOpdDleY1KVfVYS0/anwlTXIS5jKHE1qLM6gWA11sFBXZFidNpSSvdgOXVIaMgBNJNqC6+ZC+OW2ehNeKc2IdApwGLPYD5gc5OT2VprmYnxTiwRRng5S3nimBTlLaHzoAt8uBSU7gpWeFUSZbk76XsrRKWe4Lf+tM2dz5WK6oEs4xlCm4lSXcoLo9BLuSYKoF5PVtwPeCPW+Df7K3cXV+pKjRl+ZJJFguoXKaIEvhLmU4pDFoYhLbHWQtlXwtlLyOhSQaaV10b8K/f2eW//+EkK8MM2CmYtEhB7hBLkTsoGcjRFshkgE/JIvuM+Z5XWYlLekGI9CIod/iYsWOcy78871Temad4YkuJDYkGrRWzG7Zz5VVX0usPs2sUpmY2smXbpbfPto79yo4tIe3miJoXp0PiTUVa5GMbxhp+1xZImWpgWEq3q3USN0pZu69wS8a6ctZUB2bP40pCZyQNv/+pJh/4ZIte5NpCqoy5U9fEzu4rnJNKUVW+Mq3NXlaYel0wV+dcfzNIH++uz4Gc/azstpTswsJFKVuI45NpbTlt1t6WDfDUptiDs+XAj76tx4+9tUddx6ATMNljBDoGE2O0ITYQaAi0IErvsRFEGjvL3AjibDtwk+5CrG3mPzHFVuF2Z2WRv5+Pqis9r/7u+u/FGqIEgghWBrAQNLhv3/KvXHPVZbdv3bypAPjE5FY+9KF3DT77tRPHTi+NaNVHuI6uaONygVS58aBSsy3STpsc2KbQ4uv427LSWlYwdtkClBmgVZLKmCyRU2VuKWNwNc8ecfmz2xt0o3QyJhmwM99bIkilSX43lW4iVQL0c2Uvc9kh1r5P6b/5ZpBetKuNWYZWAObMXL0ISk3JOahl9XU+aiJ7T2HS9jZtFEYr4kjRcgzf+9o+l18SIJM4B3UV7EkBcgOhhigFd5wCO06BG5vyvvdiHXCXQJ7tKjcG9Px3xsFf/r303woTQWdk2LVjxBV79h/7z7/27we7d20tJArAlj3/DOXUOXfiy8TDh5ieABFDdROj4sSu55hUM5iGag1KOdFjclmynoMiS753ObCUopSlHEvFO27Ck0dd3vXLUzx1yMe4spAlOYPLki1o8kE+4zs1rGcNridTKomdUiBW1nDflFwZD7LKIF9jF9ol2ToRFrjSFJJFCxvgaiOtpjUGbWT6O3ZCltDWG08w1vYNDddcHPHen17lR/+H4KnDaXAisw8jiuUklSuZ7+yV7EOdtbSlEiVbFU3uwqRuCoXmzlL5VqYUVmDZfVrzXuk4GQNJItg0OeIH33QVb3vTK+kNRvy3n/z1KsBfes0WlNvgdGOG+VMOUVzdiCrX3s8F7CzljtXU5YugSO6Y6vN1gJ6ztjCVoFJk3rcqgC3ThI7janpG8nufavL4Pp9ElVhbFPUmULIFK6AuVzQWrDw+d3DNWIgK2MsXP2MH7uvLkwrGS1nMvE+z8n6Z2cdqxo2d2611MfLaZJlNkYawQqZEJK0e14YEjSMM110e8C/e0udnfsOlFwtwIS8iyZopEaAViRCEWRubFjaTkz4abDNyZhCadPRUlgQyJQLJAG/979K2g+nxyWpRxhOP2QETwrZb9voOB09u4tzKRXR7w/y45gCv+aBcdXh6Sh7pL9f3rKzazUhN6R8aDyLXqy8ZZ+ucyStMPQ7yVNIInT+3Oj4pAT5J61ESy+QiRokEx00YaPjgp5t84stNggzMY8yNsBZdXlD1HOxd9r7XMLYogF1N5oj8GK1F9jeSJ+OsVAIGVHS4hnyUcZnRC8liUnDLnNWFEYi0RkUYad0JY+xznQadxpAkBk8Y3n7LgH0nHD74qRb9CHvAdIrC7DGFcKJlEUimqXpbI2OBrERWq1KAejwJVK5NsUAXeU9ndl2J8aNYPj8KEq3xm21ip3VEOd5hLaL8V7NyMvzmLp56/P7bzi1v/siF1d10eoootlNNS1WJOSjXBJa5Xs40d6axxwJRMfbfqPFsZFHyKsvWYAncuYPixPRC+MBfNfkfH2gzv+Tmtd3lWhN7FyX2NmuylWtmtpTLEBgD+xibjKfpi/e+mSiz5POW3JTqS5EyejXArKTss1nilH6uRcVZqepyVdmq0I6AU2ya0fzcD3X452/p0fJjbGFSUtLjkX00CRiN1laPjzSEOtXk2RDMVEPHxgajebCZBqTF65I2z3V26Xd0MQA/x7jI9qeHhqt52TUbuO6SiY/cde/9t115yda1DA6w3GuiVP3zQei9WeNfG8WJTVKotA5SFlddxfYTusTkJVaX6WI6Jk3yQquS5i4ztxRjAWZmC4pS+atKkDXDX32+wbvf3+b8sgueWoe9qxlLV5S6iMTYPjuUAD3O3CWfu5KOL/G0GH/zf/FWzmgW4Bf5G+un7otspzbCbqMtCmALU3jiQmSsTfqYyRXL4miHKDRsnkr4uR/ustSVfORzLailS8caJrc3jSTCZjE9USq6wg7kzBiclL11Cs4yW2f14gXTZ2STFVSldVAla1FJgZCGuufSrsnHL97S/HxZnlD9mPCa19xMS//pPTs3n3jYUQmjQJIkKXuUAsQyWJUsB4QFM9t6kiIbmb831hhcBXcKZFVi6XXALWWC8jWHTzv8yeeanFvwCnCLsbu0E3MdUTgnTpqYGO/UKTdC52DOlsfKi5Sdx/T3N6lKcjB/3Z+XvG9dliXlCyF/zNh63FUpBgbZZuWsjzN7LFg8KTkscSjZPJvwzm8fsGd7CGHK4iZzWJLCaUmZ3Jiyw2KdlOIuUia3z7UZsw9TS1GXGd2sZfTySiewlRe+AyjB0ydWHv753/jUPS99xasrx9EZP7BH5vcihODc/Fnq7gDPTWC8jLXEwOOuyXp6vLgodKmqMEvolAJKUQZ9SaaIcsYyQXmaI2cd/vN7J7njkZptoKx43WXv23re2RgIR67V2usN86n8Tt4Bvo5MIesKFyUmX89xKYKqcZckuyoqcz7M+GN57xuT+96ZOyLSAHO9oiyBXe6FlmmSSCI0CKERWmYhK4lQoK1poEeG11w/4hff1eHn3zvB0XOeZQjIE0C5QJZg+wgEcfr5tS7cqqw2Rea6PM1sloJOIcinYpUDUaOL2Na+YbIRhQgBdV+we8cEV199EVob/vJDVTyvAfgNN74ZJVV4z12fYdg5gB3LkA64lIU3XgkcK8HmGNhl9b1qoZVeC/AKuJOSXEldE1dzfN7hv/zeBJ+4vUEo0t2ocsau6m6JZe+iznud7beFWSNJWAecOYBLv1O2A78ucZd/OEbfGeAz52BNsXhWQps7KtU6cTLQVzKbRSOE1BbCWliQizwTmgG+iGIzyRJrQ82Jece3DUg0/PzvTHBiPnVWGAN3RbLYiylL0ZP2dmoKZyXrCsqAb7c/KWU7M48/PS/ljqHMspYa3LQ8duPGzbzulm8PYzvQ5+sDfOvmWTy/8VN7L95+xZljx17lOx181+53o6Reo6PXApsSU5c0+nPagymohUlBnJXDWmuwlg+vGgAALHtJREFUkoZ3Ek4suPzMb0/wyS81CGW69ZpY717OWJaG16cHcV1pwliwWULuuP9dAfU4bf8NbuO4LteFr03b2z+a7e2TMXi1MYJCf1d0eBnk6TjYtLRJp+DOGorjGFwn4XtfP8RR8LO/PcmJ+awjfewi1Aa7LNhssUYQYoNHVwrckiuk04BfkkrFdCBodhFnoNaIFPhpFaXMkjyZY6Rpt5ps3LTjq3MbtvzU8urgGwPcrzU5su/W7vSke8BsiF5hkqGSpUILMcbYFXCznlyxyYRC0pTkilzL3FaO6PTnushUqoSzy4qf+50JPnl7g1CNgXuNLWiLkFxZ7dJZj73zeuKSfIFxKTLmf69LzqZI/vyv4HwNeNf64sWbAk259sTKFJPGgGIc7Dmrp5u46ozJs44j65PnSSFtEKiUoA1xbHDQvP3bhsSJ4Kd/e5Jzy6XvNxZw2ls2iVxayZIlpdKV1Mm/jgVqQTLpgM70WIwDPSvAigCidJ5mw01Q9QN/9he3db/v7a//xgDPzo3WS+9qtUc31kTnuiD0CWM3D2TK4K6y9vj7a+VJBmQhqq6JGNPgZeZWShO7gvd/psUnvpiCW5Y1d/mxBG6xNmM5rrururoILtcbD1H2v9fT13kmU4j/VXxXs5lrkjrltjVTSetnlqCVN+Xdku1FUHFSSr64lSb2giAtyMp88iT9h4UdbYtIwCHhHa8fcOCYw698sE2c4fg5QZ59NwtybSCR6T6aJnVSUlDL9HJQxh7rrItOlhhdC/KunsTAMBIMEs3WpvPk/HLnXRumJ9b9++sC/KLL38CH/uy3EsHFZvfECS7aaMsxE2QaCJSAKwv2roAbcsauJnd0KS2fMnUluEzSmpRs5IMGR3DbPTU+dluDQKqUasuALrE3hTQp9tUpAZoy0LOO7qzGvQracsInu/DLWrsM6OwX1pTJfjPgLv1iRaYwlqqnDPrsIiiPmkjBrW3RlwV0VlIrGC/UKkBvu4HsxzCprFbpBW/ZHAy+0HzP6wY8tM/hi/c2Uo2dfmK7lBRXpjTpFWBzlRrrkVvwCpskzSSKKYJOYYrad4morrJWfhNpQTcyXLprwL975yXG984kt9z89m8e4AAvven7iZOQ++9aZPPkEWvTwFiAmQK4VBPOOMBTL7zqooy7JkVSR2SOiUiQjkY48Nd31/ip357k2aN+2jC8DrDLgaXIspXjgWU1kVMdB2EqgC4wW90Kb1y3VFL3Y6D+huAeS2OulSei8MApB5ZjnnjWRWOqTF9+rAIayN0Tu6uwoHBY0PZcaq3sypACzyRw9Z6I//nvOvwHBZ+7u2ExrBL7qbMlQZSfq/QA2c1TIizha8BB4GQgz66RdPWTmXTJwC8z0WPPa9s1/OOXbui/6mW3fKxerz/nMVbP9YNfe8+7mWyqaMJffnXQPVxLtJN6j+WJUoVtWHZMxpsW1rSflRi80NxJ7paoNC0vXPiru+r87O9M8MyxmgV3Jk1kqdYk1+ASIS1ze6LYlTjbPMopJ3nGOpTK3TT/v/a+PM6Oqt7ze04td7+9p7uzdSedBZIQE5KQsONDg4gb7jo+HHn6nsJT1CfzxOd8BN88BHUQZ0Z9OB9xYRwXQFEEHpsKIlsgMewk6SSdtTu9b7fvvVV1zvxx6lSdU1Xd6c5CAOd8Pv25datO3Xu76nt+9T3f33L0DBu5bmjIE1XOSGKv4frtMh5E7gu21YFGowNPzeSB8jnqUyasChV78lBFx1cGIRD2USfNwXGi5NDI7YQnGBgwq8HDG5a42NtDsW2XGXrIptk49935UMMMFC+s7AMSGFZAXA+5bDoFw+lrNnTv7Br/29WnnOFM9l2TWvBUioJVt/ysrX32V7Z0F2rciodCrgqbeKFrnbDgP5cUBUBo1alCS4icWEorzhSaEgc3TOC3j2Twpe8U8fzOlA7uSIyJoCYCVFZATeLFe2QWTjQFLOZ+T7DM6g1XX9X/X2sz4OGaJYdirZXjYVyKsOqBp1Cz5qEmLpWHaMKyiDJkMW4OP/oQfpwKU7i54ChhlAyqwIoFDq69fAScA3cFlnzK/xIyhgUQsSsuEct2mv5eaa1lIkTg0CGArVDLQpohX8ihfWE76mqLU33p5AAHAGI1VIb7y5/sG19+a8p7Lldb4LBMF5bpgFKmdNSVBAlylY6QGKgl8ENwU+KBUMG57340jav+ZxEv7LaTwY3IxJJGY00QSFFBzAl0Xh2jJNqEMcECqmCHnvggR4D+9vAQlyW5Y/QEIXB96TfUw6HSD5WjE8WBRBTQh1xcZLKHycqEKOqKL2wH/wMVqgooQLgBj0lBEUCV45QFDq7/9AgYB+55NIPQ6ZMEbhqOAL+Msxwykrb4D5Lg+0PLTWAz8b+nTCaSpje0jdfmzU+2tDRVjhjgA30mS2dWbFq3LjvSvX1LrpAtIZspwzA8/+LKjJH4jdT4dsyCC0CH+4TlJgYDNwj+4/E0rvx2ES/umsoFr4ObktCho8qB8TjvaAJvONmMRgwG9U4CsBPNyksoB4CPknGJ9Mg+VfnTD5DAXMcScYHIZFJdDc3fz5SP8PM4CUKgaxq5rHHoc3HhJaQ+fRZeFyKXb/A5OYXQtaUlJlUXy9sdfOMzI+Cc4P7H0vCQBHIGzbxzKd+IilqcCg9o9NLxYCbNUOVA2RVZRCnbxllnnTOycln7psHhMYYpGp3qYH1jA2pq8n3F3Mh7Fy5a5BTzPegfHcNIaQyZdAmWWfUj/Fjg7hWTNaZMKlnosVTc7qF30gc3FeD+/VMpfP6GIl7skuD2R75GSwyFcIYZOmqct76mZRzAgWMHcUuugzy+LxzEej91/0wbj/xpN1mKE0rf4Byu8FeoKol6DJrVDovpx/9kvIo0XuFyKdKYiUygIJalSrCszcG3PjeM89aVYTDPr9ovoxDdcDv4Y+GrnJzy+EAG90C8CqzqGOYU+tFS14/xkWGsWrXcOTBUfW8+X+irr2+c8rpOTVFICsx5Adm6jv09E8M7f/rg00tvuZejNuPh0xcP4bzVVVgmRdUhkfN86w3ua94hJQkdOx4I9YSAZHBwg+D+J1P47H+vwbYuW8wQqaqYROVAuR86NUE0O0f1XiZZ78koS7zsWiKgVeBHR0DY5bDgTnLfC3qilDHmUT08XvVK1OBRQml9yZATYZlJcI5UVHzlhAPgzKcrvqLiJzuEnBxhPDjzqQwHKGdYMt/B//rCMK64AXjwibTQ0ikAwgBmJJhS1VLIzAmiXwGPIWuUcf7p/fjMxePIWAz3PDULq9Ys3LmovWP/o3/ZhTNXL5zy2k5pwcVNNXDF9U933XJ/7hNPdV2AfQcb8fRzrbjrzwVUXHFXNYoSyIQ8dN4Q3XIT6gV6t5Fi4Cbw4Ka0APdeGzyRc6sgl+APwW2Q5HreJApo6Pu0DKUIRhMnmxFLroOXa/3E8cnhzWMb/lvFjKsUJPwGQcx9TEYmo4rVRjgRjRbulFad+VGG4TEaxI/zIGFZRicayn7D7yusOa8QLJnn4MbPD+ONp5VBPU9kBEtrzZRtqFZcseTRAcApchbHRWdUsHppHo25Rlx5yVq8++yRT7xhzq+7TGPKWS2Aw1hwACDmUoyNlZDLZQ4++MfUn7KlzrP7R4dw3joKA2mUy7bQUSXfBgu3ibIdtdyEgaY49vSbeOwvKVx9UwHbumxwewqNW1ptGgZSBdQEiGXnTEpTIGO+eQLg9UEQoFjxZgZFNdVxrQyOINpNv11TtgDTPPwgzWtJQuCrHFxMUInSh0e4OIJJpgA1D134VHJ3OcEUK0zwQFkhPlenPvdmIEaoukDsAuAbD4fhpDYH/+Pzw/jK9xme2JLCnn4TsBH2pUZ4QQKrLS8sD+Y5BgGIbWDcy+DBJxpQJBlQoxWnNp79p+K8DQerlTLWr8zgcO3wQwDAtdf+Gy758IUDLY3Z0dZG5/2zsnuwYoENzm24nuErDZFsHS2BOLTcUvc2Uhzb9lu49vsFfPvneezpsUTtwEkdOGrMSRjjbfv6tlq03pSFfNRybIrGrVXqUjVutY9SvYpGNHCi6NzBw8TXuIXmLY8p+4jaJ1nNmdErAK2mH9UHZpR+wc+bJf7AjjmqlM+SCEx6mmnDOdYBIB7QWO/h3DVVtLR4eGmHiYFB/yZER/skIZwWAfIGR40F5CwDpbE0DvVxzG47FTUNC76wY+eeRxYtbJsOdA9vwWVbuLgVIMVNh0aG7ti1r/ddL+3aiwVzKqgtTPhJDZ6vg4eeywDcEcttpDl2HDDx1X8v4PYHsih7REwopwlu+DdQdcVr1ATQXrWlMibZp4e/hvwj2J3ggw+pS2SWeZQt+rCOeyYhl7HRg7QIBC/nfmSgZv1DJ0oYjAVFaQl5OZXxItKKE53CBGnxagyK1DIIQF2G5joPH3lrCSmb45rvFNF5AEBK6auRY/+Z6v9PBhEh/kWLoT7HMbseOGv9AqxcOf+OTE3HJiszNO1rOW2AE9qG+x7f01WsO+OKstNpMHfg7ZWqE/Bvef+DOG811oR6IMSPMbE5OvdbuFqCG4ZA6gzBHdQ1AY8v1hrl1eorVd4jctwHshaDohirGCePUhSiAH66SI51Fc9uLfZEAXP0VRxXHD7SwaNSEPlZDP7a8j5lkaCWuWKBk8ivPc5ZwNlBhQufUikVKr9dBbkfH84rDCmD473nTwAcuPp7Rew8iOR4crkhfqCyyh9gGQyzm/JYMLf5zg1rV10B7NlDyJJpA/ywk0y1bdwwH0Vny543n7f6uSUd9cimS0jZDkzTVWiIDKAK08yIjAxMMew+ZOIr3yvgtvt9cJuHAXbIATTLHS1Wbyj6t/6IVks6S2Dy4PEsyxIkyYNJT2K5Q+PXUbI9Q2seyL3KdhTJagUsNflYPa6ntYWFguTnMHUSysP64jI5OVg5gtFQOmTKRNOXC+XkM5yE+rKhnHgyQ+x3KdKc4/1vmsDVl42gbZYjSmOpE0wWlxBdDox7BGMOwcAYg5lpwty2U597/PFtMwI3MAMLLtu8uc2wM/Ovr7G3LiRlfIB4w77V8+O3SVi3hNAwt7LKCTY/k8L3bs/h1geyqBJZkjaqkKiyoG85FNRIj7DmrVSSFJLyLKNUROW9KriBOMg1ixyx3tGJporxmbYAiJrFDmZiIbiJqhP71IPwQBUJ8xZ5uH48gvlbAHrGCYzAWSSTl+GXZA7pifhiGY0oP1ONHRFXhKlSoK/sUMLAXcA2GT7wpgmAAd+9LYctL6dQYabS379R/ncyZmKcEUxUGLLNdcg2tf9i9eoV17+4bf+Mr+uMLDgAFGrb4Az9Yrhl4cJLn9hGHwGdQDpVDiq9qhGBsuTaBCH40d05vOvKevzigVxCJg5N2PbVkgD80LNzEAJadctrEy0Z5agGJIHHgB3OeSJ1BxOoieq6T5YKIwNluuiOdI7XLJTvQ8utcXVFGoxa9OBzVAvPFWePKi1ySU+k9Z7ckusWPayFKMvCCUtuwHMpLI/jA+dP4LffHMBH3zqGHHFEVnHUCcQ8gDngzgQaUqO4cMPQI/mmZZd+9aYHh5ctbZ8xwGdswQEg3/xBbHnm0dL8jr+rPrX9OzhlfjcKWQMy7SxMDvYw7hH8+Lc5fPmmAoZG/SL0muOG+iCOgJvo4A7LPkStdwhCtVh9zImj9kkCb4IoINEbWm011kRn21IhiSN9EkyHtHdqkCvUiHMuKXqiyz7k4QlxKoQEEaxaIjMXnJpQn4/L38LFQlQxSw5RZF9ycsm5qVQNlQkkAQlWgfA8cd+aCh6+dtkoDAP4yW9yGK+agnNyIKgnwSmK2TIuPDuFT13yn6qUDpWWLHrLkUD1yAAOAM0ty8AYe/Keh995esa4K7NiwSCKOQem7YDABSEMnT0mfvNQBl+7WYJbceBI8EYdOLFtAUoZcWZo8SUKHYFeuCeIUVdBDIV7R0E+xWsiFych6KfCM5n0SATMiIJU2S/fR44Fg0CJHpQDQSw1ong3uU94EpQVTpQsfUgtXSxPSBkDBwWnLLDyRE5q4WvioBGQiwtMOQ9+q/CmeuAOQ33ew7/+wwjSFsedf8xiRy8XNSUIAUwLZsrEqQuKuP7Tayea25c+KXByZO2IAT57Vi3KpfK/fOaSjXzfyzs/B/7H9MFBBw44GmuAl7psXH1TEQ9tTaPiycz3qNWOApzotERswURovcOEYd2JoxXu8WmJ5npHfFvFXZSehLhOcNlHL0biJHP6TJwDfqhqwmlKNKEObAlk9bQwzJbzyLlRUPuKSuDokYCUn02gcG5ZJ54ClAGM+AacgHIKDgamgZwLS078hAo/ahGEgBMG7niozzJc+6kRbDyjgqu/X8TLu2001VRRYS56h4H22SvKJH/xjRPlzJezWRtH2o4Y4ACQzqZZ7+5fXl2srXee6Wz74rd/3muXJxyc1F7G850Wfv9k1s84UGS+GLCVbaoeF2AzfM4d8G01UQHJyQKBcgJ932ROkCROrXsxEfyepAlmbAAkyn+HaQnAltRCm2gGAJTx4gk0haj7w+JBRJURNQsuLTsVAOQysT6o1YBg0VVOArpDQcH99X+oAnJCGYgUy7lIGhHyIxVh1oyAc4aU5eGCDWWYBvD8ThMnt3kYHrHw4OaWav2s+q/ffNtD/3bVZe9gOIp2VAAHgPu3jlUXzqu97vfPnlI92Lvrq+uX76TzWj384YmsCGm1EiaPIJFXH7UKuANqQpS6JjRuvUmUmtB45GAMzBEgT8rJJ7X4CcSDxIE+LZArgyEaSRh0Ua13AkUJwCpjBDgB40zQAvDgCaFWy9I0c6ms+IvAcqllUw5t8onQklPKAjkS3LfmEGXcCBP3SKwoQeB53FfaODioX+KZgVcJbOqiucHFvY9k4FayOH9NI2tvb/lqX8W8IU0PVI8Wn0cN8A+/81Lcedd9ExuWz73jzJPqrlnc2ImX9nOMVi3AtOMRgbLAoQQ4EAE7gkmlBm4iJUI/cQEIdO/QWofHotw7BlySDGog3B8SbbFNIgMjBmKSuDnjFgV0MAB8EIdcmgCKRQ5kQ/hRg6oMGFjpSJIyQoBD6RPEuChAF/NHop3L/Awcf4bjNyo8pH4cEiDqIHLC/KRiWaPQAHUoChbDC10Z3HLfLLTMeSPfcMq8O8hoeWLd6R8+WngePcABYPWKeRgpt2+fV4fLhgfP+t5vf/Eo7eqrAVIysIZElJEoOlR0ib0GlFSmpEmlMrGcEryYZB+UnwaivYd2LM7Lo+9i4knwryjHoxNDxWprLeFY1KMZ5dbEF7gD9YQgAmKVwhDlOPfLMfhUiMvsNCIK7NOECSgkJxd8nAY5kyT2v3A5YoJr6Rcc8iNMQSi8sonWWhcXneVg0cnrmFU46bKOJR3bt77QfSygeWwAPrftZHBncxXmmT/4xs+2ZZ/de8q3Uul+OKBgzPHBbUJZmiy5SXATJb6E8pjTRttGxD2PBFCTyfdrgFRpxiTH5Lb6qiHyCE03n+TcYAJKwn6BNU7YF1jewKorgEckfhx6lKH8vtCy+zIh4K/wxgP+bSipb4GyIj8ACKvFgoRvIIYBpRSceiDg8FwTQ8M5XHT6HGw0q/90xROn/qC4abt34ZknHQtoHhuAAwCxTsXLO7u9T3zwPZ2ntG8evfvB3xXu3dKHA/02YJog1AiAyQF4COYv+uf4oA0K1ENm80WBzgO1JHECCQnohHQ05buiVjoWEqv8wb+RUPtDeY3w82m3ySx64LkMQ2ehWOnQgiPg5sFH+YSeEcCQUiIinkuESklgoYk6YETgiYhp4cF5gL8YLdQnhHpBZGKFLyUycQXFb+UwuMgAs60q9h0Cnu9ahA3r3zm6qGN15x0dBzw7OzN3/FTtyAXGhFZfk0GNVblz47kbLv/6F84cWL+UAm4ZBAQpA6ixOGpMjpzBRXxVAn+V4FZ5tBZaCt8KQAKUa1YdKpgnC6zSgE1iFjlqmJOcP8FLlL4kcfPDtICKBB5KFYB6v/B9CKB4wrEyYY0BWq1Sq3hGI97PIE5F49y+a17yf8T3i50k+D9EihyF45qoOjaqjg3HtfynSQXdIwUM0gsHmlpPu3zXnuqdnOSPJSSPnQUHgKaGGgDAyOjgLTUtF5hvfwu5/sDQfzRt3sFQZzJkLfHIK3siIdYhesCQChw95FXP0FFrgaiTSiAywYy47mPqSRLf9jvEnD1Kv/CN8hIdHJE+SS2wvrEDkfMUzh2lKlGdXMavBDQFCCw+USelIAG/5j79AAnPgaqJw48s9Hm5rBXIfD1cU3AAJWxaXADPB7jjGuCcwLZcmEYZh0aa0bH4fb0b5p7zzy6r3rJwQcuxhCOAYwxw2YqFOnDe/cOPvecsun3Xga917X2+aVbWQ9oiqLgcpEIx7lH/scvlVQnunhpjEl15QXJtVUmJ0hO5/HUs1gRRqkI0EKv0JDjB/21JDiC1i/pmqmnGpC0BxCFF0alLEi3RpEBIkCVPNokKbnBf8ya+o4eEawEhVF2YQvgDTVz7EcS/dlI9CfmnCwLHNTFeSqHqmLAsB4Q4SBXX9Q6wd141sMf74dqT644HFKeX0XMk7ZprvomRzPotjpftbcm55+SMsUwxI2AxXCboH+XwJhwAjrgzPp8wiJ/IILNxaKQMBIX2PloFarIqUTEHD1UydBQ6IzNvopWlQs+oWrUKkW0ZjxKtbKWfF/styveD6L8ViD9N4vEzxKdncsBOUe4iQe5U1Z7gCQboT6bod8ugtYAmqnVwPJiGB9tykUu7oJRidDyD3qEcDg2m0TtoI19sG1i6uPHKOTXP/HDO3DOOFwyPH8AB4PEHfomPfejdz7TNLuxdPM/emDYHU8NjBB518bazD2HN4n7s2cdRKofRhWrEoEnlOvL+hFP1Yk4SFqta70TlRUk/I9o56nEySV91QKjpYnpamlq6jUwT4ECyhzUpLoZMAuQo9VIl0ADIAXhJDMhq6Wd9vwpqEh9kwbUTJf1Mw0MmXcVouYr/c7+FTS9ZqM2lMDCcx6YXCYz0/NH6xvbL+wbzP527+BI+TTgdUTsuFEVtK5farOI0/KKh4Lnlkwd/3DPYk543O42PbTQxe1YJbbMq+OYvKQbKFgi1guSFoLYJdCqSWOdEAWO4ducUE0soAND4i9iI6tbRpnP3qTpO4wJFFJTJKLmU+EjCuapOLlmfYA8+HychRYHCv4MkC7+vWImBgMpFrSCpCgld94yBUBFSyzgD8ROWCQGoT2MMg2Fk3MWNt2Zx0+9a0VybBrnABGgVByrt5YI36+PDY7nbt+8rH5UbfjrtmKooSe30s9+Dc9e+6K1YO3T7mNfykfqmheW8TTE6VguLFHDxORW0NDgAqJatI5UUTQv3AZCY0IBkUMeskUIDotjWwB/8Ef29irAENGqP/2lcHz7pG8XDqB6TigdCYKvnafUK5SFtm2jnqRk+6qtclpD5Th7OQu1czQRiXII9jA8nAA72E9z6cAFVJ4/aVBqDwwaWLpxbXr+y/iNfubP19p89XvI+/p/ff7zhd/wBDgCkeAW++d1m76r/u+JXixfMv2TlsvklcAem4eHWP6SxpzsFGAbSBpChXCwW5WfFqylnqkMnSj9UyXAqoAPKJBI6z4wCX90HtR9IbIDE0T/9JsO85bYELEG4HcF3BNSK3Kf88FjNQkQBr2YAKeD2pT+t+pUcCAGo5flUrJLmGXD9P8e10NYMvO+8MlyXw/VcpAvzS6ls2yX/+DH7Vy9+a5/3s+s++EpA75UBOABcefmH8OV39vJLP3rPrauW1398/vy64Z6hMrYfsOHwLDImRdHkSJscth9dK/MspRxItCCrKAfkhwF1/DXu6FGAH7XyaihBFMckwVofGdYBKJRDeQ9Al1ShgDd6niJOqcfAVc1czQwSyokshplY0s0HNgv0dhIsUSjB7TgmKo6NStUGkMLC1gk0NY6grmXOMLdbPv7m9/zl1ttvz/Klqz56fECW0I7iNhxZ2/Xs91GoGUXKtC754T3uDd/4ye6GnkEXzXkTOdNfVYspVQhIqJrEJppUAXcE9FqmT0RFUdUT/XOI1lfWQAknsKpaIs9VJqBUnWjKySnRzpX9Dar/Vk0JCuqz8Mhk1x/kynGi9iOh6hQstutPuoO+JHzVF/NVnoCR9ZZEvi1iNd/DYKrQgSQ8lC4K2WHkiym8eGh9/28em/35mqLzk8FDJq770iWvKN5ecYDLtufgAFK2eekPfvXn637564eaaGUYactAxQUqrlgolPmPbkoRFPMxtUI8EVqSoEDEi+aQBGDL7Whxel01CY+RCLiPH8Djv5UrfVUAR49zZYCEJaSJPEbCwaFX+FKXo5HfES5gEC6AwIMS2pwTeB5FxTFRdQ1QOJjVZGLeojf2puou+CKYczMxZ50QnB13FWWyNr+1HkPD4zdf/oFzybwa42t/eugPTd29wzg4GOY2ysc05cIyhFWnEqw2EFCFoBQE9Fco7+OTQSWjJ2kSGkgcM1NZJmsxZ+UUgVqSesj/UQlL0XIwgUgsifweJdhJ8hvVMQSICEPKpQ2Wq8Vxf+Gn0FMpSoIQwC/LJ367sN4eA/Z2mzDMRsxbenavXXPWVdzjN1Or7jgiaer2inHwpFZbk4Nl8B+864L1V/7dRy4YfPfGIvJ5B1WHo+xQlDwKh5GArqg1B6Ml2dTHuLgTyhepE88kcJIk0IfqiTx5qnlkosoy08YPfzhUP3RuzmOEnUDNjAhd8CSYVGoe0yD+JFRRPEbhMQrXE0tte7JmIYSBMQ0G2/KQshhMAxibqOLF/bVoWfDmwbqWM6+sOPQH1Dq2sSUzbSfMgsuWzeXAmXfLaaetHqjNvtCxf3Tx1//856esQaeCp7tsFG0TlsGDx7pYdVm32kGTN3eySR9J2BX5nKCbIsWQiNVWB8DkXzizRhCJBCRKFANCPEoNW/TzrS0JIw7DmHA9W0f1qkd/qhYdEMR3h9eTIHTVEwDcEEu4pywHmXQJm7fnMTqaw5KTVznpfdZ/WbR0Vadhpu/KZE44vE48wAGAUIM99Pj2O63sh+zTVnWWTl9mf7ev935ywy+H6ZadzSjaBAblsHyFxTAixodP/YiPfR8ig0O96T7qCfQxER8f4gs1q30MZjRc+fNXvwxjwpVOqhFW6csRx6Rz/QGiBmsBFIT59cI54JliVYhifgJbd03gx/fPYW/acA5vaOz4xy99pu1H1bH91VRm2dFfjGPQXhUAB4BzNyzGwX3bqmhsvcVwnT/yhdve98KBnv/2/L5xMJZHyuRIW4BtigmceKSK7G25LJ1W3kwFrWrFZCOIg5jo4Ff5uDzpqCjIUbYgHosr/Bv+ujvQnT9BYrKW1ubzakAbBAE1U0Jq5ZLZUh4E/DxLRmAYHDTLMTxewd7BDtQ0rvjXXHHhTz3SvG/rM0PVVW94dYAbeBUBHABa5y4BgIne3Tdua1rUcF222Gifu3biX/bt6jGylotcmsIyhUrheRyuR+D6eVax+Gmu09EkXBIFzfGIQr+P5OIK0IlmtpU2w6fITE4NQO2fzRX+EtQDkvGzPh9RJ5vaQ4YAYdRf5Ef5102C2/UIHFfwcEIA2/HgMYZ8LoNCdnnpvLPeXtr41vN2cFba3tp4Yvl2UntVAVy2pvbP4vp/v9n7509e+pU9+3vNe+770z9t/cuWVGl8FGI5FIpyhWGiwoRLWda7TkgSoFBipxHh3ep7FezKMUSAfTg2otGFGTQ9OjDhM6OcHCrgFVWEhJQt4N2R0aPLqOHFktZbnsO4mFxOVAxMVAgY40jZJohZj1TdKZVZHWfc2N3zwDVNdYQzlnvF8DGj63qif8BUrX9gBLbJ4TF8bUfnztPv/N091CDO6aXxAbOr28NoSfwDHgMcj8P1hHbOFCBQf3JqUMHdDalRa4XwiRY5mOT40YrNQ3kPaAXx4zr5NHRwTdfX9XkgUhaD6OCcTBMPXikXHmFDOIEMykMt2wj1cPjXTVhtCsel8JiAx+AosK0LaGpsdBvq0o+dcfZG1jq7/bGqS64qZDisVPFIbu8r0l6VFly2hvrgwl31+wfuwTlnri9YZPT7B3p2vP/p3XupU6qgtmCCEMBxAdevzKvWl+YSDNKS0RD4gXueRCw5IrIh0WNPYvREUW/UXdNhLNF5wGR9YkFXUPg2QgsfaOJSTZHlHjhXngDcX7TAr+Uuv4cDlFJ4DHA9QUvymTLaZrvoHl3IWuYuva11VuHvt+/YN7p4ycoTA4oZtlc1wNX2N2+6EJXxzlE7m/701hdm71jw/OYVRYy+a/DQLgyOUwwPUzAm9PHAMUJCpxCnCphIxCoDGjeIxW8rh2PBWEDgGBHb+uR2WghXuqoDLPYxkmqpMSSyLAMXk82oxBiWSw6dHqHkymAYLOhnAKCUwTY99A0B3X0GVq7owMIF/I7GBWc8N8EWfZtifPSNqxacaDhMu72qKcpkbefuPchkcm17du+48cC+znc9tvkv+PUjfWBuGg05iqoLTDgUtsmF+mJypGwgZRJYvsxoaG52nZ5IKqHSFzUTRruAymDR4lRomM0jPitOUTQHVSQrKfxc3fujDrTwPD9Gh4avWhAaEfTENDgskyFle0jZHtK2C8vyYJsM5aoFx6XIZ8ZQKo/hyRc70NiyFstOWnzHSSct/uzY2HhXQ9OcE33rZ9xekwAHgNL4IEzTXLR71+6VFWfwis3PbTrnR7cfAMol2BmKPSMMg0MWGjMchTRDNgVkLALb8heYoqqioHNuSonP20mQ4aOCW53Ehk8EEolZCTN7JNjlZ9MIqLUFsTSA6+DWvlc5T/BqybFDPh7cYAlwymHbDJmUi2zaQS5TRTE3gf4RFz39dSDcRFMTcGB8ARoaT3+4kC9+e+68Bc94rrujpbn+RN/yI2qvGYoSbdlcHQDs4JztAMhz9YW+1qaG9Tft7epclGabjO09h/CNnzcha6WQZRwUHKYBmCbxPaHKUnyIOlhCC2ooE0gA+jm+55BwgPryHJH81z8+ZcZPQlMtd3RQBXVJpEICHiz7B85jqo9UQkScCAGjDNQgfjY8R8pyUV8cxvfuzqKnO4uPvGON19qxYEfns8P/sGbdWQeZh22F7GvWBgJ4DQNcNiLqGW7r6+3ftmald8G8lvycuc0rbrv7D3cU87Wl3Hilivq0iC+3LSBjC8vKuSjK7no8AA0j3A8kEoA2KPGtfQhuBlkYXp4ndEFRSiEsN0yIDFw6jJc1MsEV21yZBOsav8dCKZL6hFyNv5G5qpKHiwmj+E0GNcDhO8sIh21VQM0c5s1bMf6WjRePzCrw99Y2zt3/jvONrlzqtQ1s5fK+fprv/KDAYM1jmzs37O0z//cTm7e5e7a/XE+d/kIhC6QsAVjXBUplDxWHgzExTaQEsEwC25J/FKZBYPjPe8Y4HI/BdTk8j/sTvChvF3+GIhNKyhMeVyRKhZ7oPDosZMSYGIxVl8DxV/kAxFzCMoGUxWFbHClbhDNIbdtjQKVKMTZBUakIGpNNA411DB1tmdH5bfMG8nUnmwcHrU8gtfzx9tb8sOuBWebrBxaveQuuNp8OsOc7uwebmtrvdTCy5Ib/elvlma3XfWHz05v+9sD+Loez6kkGcdPcG8C2PQ4q4wY4CFxPUBhKAFjCcpsGFSA3hUbiehxemYMxBtcTYQJErqxgkDD8NMGDGP+x+nZU45a8mgBgNHSfV6uA4wr6YvpANAyxmLBBOdK2B8vkqFQFFRspudixj6K+poBcxipbmexLjXPmW+3LV99iHLz4m6Tp56nZLfVl8CFGSOFE38Jj3l5XAJdteUcLIMJTStt2dME0za+bpvH11W9YZhQK+e8aKC0x2DNn9d3TbZQqJvLZCjoPVMA8C1atAQLBvS2TIpOiSNsANYCJCkGlyuC4HOWqKBRPqVBm5GRStCSEJ0kwuvYOQFE8AMsSWrWMBRmbICiVPZQrDIYBpGwDlFBYpogqtEyOYm4C5WoV/aO1aChasDMeaK7VW75yySMNtdlt5XLpMkoczzAz8Gb/jqfybaUTfb+OZ3tdAlxtSxa1AaF7xOWs7+9BUnV9/cuubdz8gE3R452zjp368sHKmrv/MI5yuYxCxgClBkyTI5PiqC1w1BVdeJ6Lx54l6B8RIDcokLIAkiIwoOvY4aRVj/zSQliVP3kM/meYhrDGaZvBoEA1TTFaIth5wIHnAXUFgnyWg1ITpgFMTLgoph2k0xSdA83Y0Vv3dE3R27xqeaNx/ls2Vg276UucVQbbZted6FvyirbXPcCjjdBGABgE8CkAqA7eBYOSc1b1lzbWFPFet1JdapEKurp2wbY40nYZzbVjMO1hvLiHY3d3LQ4MGRivADUpoKHAYVti+WvBvUkQvccYh17oR0CZsVAHl9IgFzFj8DwCZgh3ejbtoaGmjFymglLZAjUM7Dw0hq3bTAyPptExJ4XaYhaplIWFixaiudFGIU9fzpbs29qtwn2DhD+89szzT/QlP6Htrw7g0WbXXQQAD/f1Dzx88UX4k+e6HUNDQ6yv7xCb09q0oH1+7Rdr7ZfRNz6GrX8cRzFTwmkrxrGrt4z7NtUhZZmoyXFYll8JwBBZ6FWHgTEOCxQpC7AtoWRIamMaFKYplB0xGRQDgvpgz6Y4MikHtcUB/OZRF7sO1OGU+QYuWF+LfF0zenrSOHtDG7zqyHWV8vCulas20Lr6WmoaZmfbYtybL/x1WerJ2l89wGVrbKgHgHvl++HBPhimXTsydPAxrzQBkptw3ve2eZ+b2+S+uaHGhcfG0NT0BJ7eYqK+1kJjrQUQgokJB/lMBV3dVfQNMDTWmsjYFopZAMTB3h0eODfQXG+jmAUaCg4ODbo42JvCrIY0GCxMOBwO40jZDjZ1NqC29U1YMzuLxloD85r5/R3VQ9+qr01bq96wEm3zWx6eKFeHWppPTFLvq739f4BP0mrqGgFgCMBvAWCwvxuz55GX8plK81jJZNncGNYv34JnnzeQzdjIZW1MlCvO2nVrr27ID70t0znuHOwxMKfeQH2NhTlNDMQsYYwQGLDR2mCioRaYO2sCue4JuKkG66SFtb97+uktVxumbXEQEGqiqzeLvzlvDeY2WRitgNbnrZ6L5vBdc+e04Isn+iK9BtrrR/B8FbQnn3wCAGlO0301T+0Y4z2HLMypN1BbMNHa4IGYJTz+ggGLW5hVb6K+CMyZVUJXTwk79zWTNafMHmaM96xdt/5E/yuvm/b/ABs3u+Io4mqZAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIyOjI1OjUwKzAwOjAwNHcongAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMjoyNTo1MCswMDowMEUqkCIAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 247843000
{'hecke_orbit_code': 85568392953601956, 'n': 1, 'trace_an': 2}
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id: 247843001
{'hecke_orbit_code': 85568392953601956, 'n': 2, 'trace_an': 0}
-
id: 247843002
{'hecke_orbit_code': 85568392953601956, 'n': 3, 'trace_an': 0}
-
id: 247843003
{'hecke_orbit_code': 85568392953601956, 'n': 4, 'trace_an': 0}
-
id: 247843004
{'hecke_orbit_code': 85568392953601956, 'n': 5, 'trace_an': 0}
-
id: 247843005
{'hecke_orbit_code': 85568392953601956, 'n': 6, 'trace_an': 0}
-
id: 247843006
{'hecke_orbit_code': 85568392953601956, 'n': 7, 'trace_an': 2}
-
id: 247843007
{'hecke_orbit_code': 85568392953601956, 'n': 8, 'trace_an': 0}
-
id: 247843008
{'hecke_orbit_code': 85568392953601956, 'n': 9, 'trace_an': 0}
-
id: 247843009
{'hecke_orbit_code': 85568392953601956, 'n': 10, 'trace_an': 0}
-
id: 247843010
{'hecke_orbit_code': 85568392953601956, 'n': 11, 'trace_an': 0}
-
id: 247843011
{'hecke_orbit_code': 85568392953601956, 'n': 12, 'trace_an': 0}
-
id: 247843012
{'hecke_orbit_code': 85568392953601956, 'n': 13, 'trace_an': -4}
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id: 247843013
{'hecke_orbit_code': 85568392953601956, 'n': 14, 'trace_an': 0}
-
id: 247843014
{'hecke_orbit_code': 85568392953601956, 'n': 15, 'trace_an': 0}
-
id: 247843015
{'hecke_orbit_code': 85568392953601956, 'n': 16, 'trace_an': 0}
-
id: 247843016
{'hecke_orbit_code': 85568392953601956, 'n': 17, 'trace_an': 6}
-
id: 247843017
{'hecke_orbit_code': 85568392953601956, 'n': 18, 'trace_an': 0}
-
id: 247843018
{'hecke_orbit_code': 85568392953601956, 'n': 19, 'trace_an': -2}
-
id: 247843019
{'hecke_orbit_code': 85568392953601956, 'n': 20, 'trace_an': 0}
-
id: 247843020
{'hecke_orbit_code': 85568392953601956, 'n': 21, 'trace_an': 0}
-
id: 247843021
{'hecke_orbit_code': 85568392953601956, 'n': 22, 'trace_an': 0}
-
id: 247843022
{'hecke_orbit_code': 85568392953601956, 'n': 23, 'trace_an': 0}
-
id: 247843023
{'hecke_orbit_code': 85568392953601956, 'n': 24, 'trace_an': 0}
-
id: 247843024
{'hecke_orbit_code': 85568392953601956, 'n': 25, 'trace_an': 0}
-
id: 247843025
{'hecke_orbit_code': 85568392953601956, 'n': 26, 'trace_an': 0}
-
id: 247843026
{'hecke_orbit_code': 85568392953601956, 'n': 27, 'trace_an': 0}
-
id: 247843027
{'hecke_orbit_code': 85568392953601956, 'n': 28, 'trace_an': 0}
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id: 247843992
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id: 247843993
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id: 247843996
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id: 247843997
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id: 247843998
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