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mf_newforms • Show schema
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{'Nk2': 4312, 'analytic_conductor': 8.607873337894025, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1078, 3, [199, 981], [2, 3]], 'cm_discs': [], 'conrey_index': 67, 'conrey_indexes': [67, 177], 'dim': 4, 'field_disc': 225, 'field_disc_factorization': [[3, 2], [5, 2]], 'field_poly': [1, 1, 2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [16, 8, 8, -2, 1]], [5, [16, -8, 8, 2, 1]], [13, [-4, 2, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057868949390390, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1078.2.e.q', 'level': 1078, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'minimal_twist': '154.2.a.d', 'nf_label': '4.0.225.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{1}+\\beta _{2})q^{3}+(-1-\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1078.2.e', 'trace_display': [-2, 2, -2, 0], 'trace_hash': 539095074672718625, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.699', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.504', 'prec': 17}, {'__RealLiteral__': 0, 'data': '52.022', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
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'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1078.2.e.q', 'level': 1078, 'maxp': 1999, 'weight': 2}
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{'Nk2': 4312, 'analytic_conductor': 8.607873337894025, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1078, 3, [199, 981], [2, 3]], 'conrey_index': 67, 'cusp_dim': 304, 'dim': 64, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13], 'hecke_orbit_code': 274911462454, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '1078.2.e', 'level': 1078, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'mf_dim': 368, 'mf_new_dim': 64, 'num_forms': 22, 'prim_orbit_index': 3, 'relative_dim': 32, 'sturm_bound': 336, 'trace_bound': 23, 'trace_display': [0, 0, -4, 0], 'traces': [64, 0, 0, -32, -4, -8, 0, 0, -24, 0, 0, 0, -8, 0, 8, -32, 12, -16, 0, 8, 0, 0, -32, 4, -40, -12, 24, 0, 8, 0, -4, 0, -4, 8, 0, 48, 48, -4, 44, 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mf_twists_nf • Show schema
Hide schema
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id: 638426
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1078.2.e.q', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '154.2.a.d', 'target_level': 154, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 638427
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1078.2.e.q', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '1078.2.a.w', 'target_level': 1078, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 638428
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1078.2.e.q', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1078.2.e.n', 'target_level': 1078, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 638429
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1078.2.e.q', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1078.2.e.n', 'target_level': 1078, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 638430
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1078.2.e.q', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1078.2.e.q', 'target_level': 1078, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 638431
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1078.2.e.q', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1078.2.e.q', 'target_level': 1078, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 638432
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1078.2.e.q', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1232.2.a.p', 'target_level': 1232, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 638433
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1078.2.e.q', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1386.2.a.m', 'target_level': 1386, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 638434
{'conductor': 77, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1078.2.e.q', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1694.2.a.l', 'target_level': 1694, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '77.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 638435
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1078.2.e.q', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '3850.2.a.bj', 'target_level': 3850, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 638436
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1078.2.e.q', 'source_level': 1078, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3850.2.c.q', 'target_level': 3850, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 638437
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1078.2.e.q', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '4928.2.a.bk', 'target_level': 4928, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 638438
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1078.2.e.q', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '4928.2.a.bt', 'target_level': 4928, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 638439
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1078.2.e.q', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '8624.2.a.bf', 'target_level': 8624, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 638440
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1078.2.e.q', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 73, 'target_is_minimal': False, 'target_label': '9702.2.a.cu', 'target_level': 9702, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1658825
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 72057868949390390, 'p': 2}
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id: 1658826
{'charpoly_factorization': [[[16, 8, 8, -2, 1], 1]], 'hecke_orbit_code': 72057868949390390, 'p': 3}
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id: 1658827
{'charpoly_factorization': [[[16, -8, 8, 2, 1], 1]], 'hecke_orbit_code': 72057868949390390, 'p': 5}
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id: 1658828
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 72057868949390390, 'p': 7}
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id: 1658829
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 72057868949390390, 'p': 11}
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id: 1658830
{'charpoly_factorization': [[[-4, 2, 1], 2]], 'hecke_orbit_code': 72057868949390390, 'p': 13}
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id: 1658831
{'charpoly_factorization': [[[256, 64, 32, -4, 1], 1]], 'hecke_orbit_code': 72057868949390390, 'p': 17}
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id: 1658832
{'charpoly_factorization': [[[400, -200, 80, -10, 1], 1]], 'hecke_orbit_code': 72057868949390390, 'p': 19}
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id: 1658833
{'charpoly_factorization': [[[16, 4, 1], 2]], 'hecke_orbit_code': 72057868949390390, 'p': 23}
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id: 1658834
{'charpoly_factorization': [[[-20, 0, 1], 2]], 'hecke_orbit_code': 72057868949390390, 'p': 29}
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id: 1658835
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 72057868949390390, 'p': 31}
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id: 1658836
{'charpoly_factorization': [[[5776, 304, 92, -4, 1], 1]], 'hecke_orbit_code': 72057868949390390, 'p': 37}
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id: 1658837
{'charpoly_factorization': [[[-16, -4, 1], 2]], 'hecke_orbit_code': 72057868949390390, 'p': 41}
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id: 1658838
{'charpoly_factorization': [[[16, 12, 1], 2]], 'hecke_orbit_code': 72057868949390390, 'p': 43}
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id: 1658839
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 72057868949390390, 'p': 47}
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id: 1658840
{'charpoly_factorization': [[[16, -32, 68, 8, 1], 1]], 'hecke_orbit_code': 72057868949390390, 'p': 53}
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id: 1658841
{'charpoly_factorization': [[[400, 200, 80, 10, 1], 1]], 'hecke_orbit_code': 72057868949390390, 'p': 59}
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id: 1658842
{'charpoly_factorization': [[[16, -24, 32, -6, 1], 1]], 'hecke_orbit_code': 72057868949390390, 'p': 61}
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id: 1658843
{'charpoly_factorization': [[[30976, 704, 192, -4, 1], 1]], 'hecke_orbit_code': 72057868949390390, 'p': 67}
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id: 1658844
{'charpoly_factorization': [[[-16, -4, 1], 2]], 'hecke_orbit_code': 72057868949390390, 'p': 71}
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id: 1658845
{'charpoly_factorization': [[[4096, -512, 128, 8, 1], 1]], 'hecke_orbit_code': 72057868949390390, 'p': 73}
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id: 1658846
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 72057868949390390, 'p': 79}
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id: 1658847
{'charpoly_factorization': [[[-124, 2, 1], 2]], 'hecke_orbit_code': 72057868949390390, 'p': 83}
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id: 1658848
{'charpoly_factorization': [[[100, 10, 1], 2]], 'hecke_orbit_code': 72057868949390390, 'p': 89}
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id: 1658849
{'charpoly_factorization': [[[44, -16, 1], 2]], 'hecke_orbit_code': 72057868949390390, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 17, 'label': '1078.2.e.q', 'level': 1078, 'portrait': 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exEwlLXpzsUjGKX5YFgw4RmsaM5fk5Rcz02TMOWuZD1MyPWzQRsmAnYst6wbYPi0q0uddXkyPE2D+7xePz5mKePRSSqx7e9ssM7bjHU1QzPH5vkyGmHU+cTzi5EHJ83HFww3HD5PP/2+5bZOjPB6flJzi/VWOo4LHUlK72E3jBhEAgOHVvgyMmVSx8/MP+q/cfnLzhwcv4LN7/hXeF9X/iLlxoSf63b32oGX1npMIoMjuT9jzx16Jaf/c1PyzffcOiWn/j20878yjqWuy2WuzWWum56cmCpk7DciVjsJJxZhkOLgrm5Ff7D9y/ysosbnDg3zenzTU4vOJxbNJxdiDk5n3C+FzM5PeIVV/Z5+SXgyTq+8jm3VOPMgsPZJcEggDjW1DxNs5YwNRGjgWNnY7p92L7epVkPMEaA8OgPNds2BCyuOGCsFFnpQxCDwbDUCdm8zqU3VAhlEDqgXXPZtnHEykBw7LRDoh1m2pJWTeC7EMeCQSA5uyQ5s2g4txzj+yNwY266rM8tlwvm2nUWl9ucOOdzegHOLcScW4o5tQSHFg3XX7bAz3//Mhsm2xw/O83ZhTrzyx4LHclSJ2GlG7HcS1jpG5b6cKYnOLc05Fd+Moi/81UT99fXv1c3JnbdL2XyM3HsU2+0XmqovODtby2Df/Cjn+AVN1/Hv/oX/+IX/vK2u/7Zx/7iyzv3Hlu5YO/JgXzllV12bkpItAUOCAsqZHoXIAyOMPgSTi/VeOiA4sqLlrhk64hGDVxH4rkKz3No1iUNVzLou+w/WuNLj3scOx/QjSP2nwhYP7PEW1+xzJU7e1x/SYejCzELA0HDH3H4tKHTbXLFhZKVUcLeo4pWw+HZY3DxJsMoTBglHo4TMdWCfSd8lJPgyhjHhWEgedklA4YDyZU7E7rDhGOnW+zYoGg2QlYCw7rJAcv9Ln9+Fzx5JOHpIyO2b1rkqt1dpqZD3nJTj+98teGiDS2SaJIjpyY4dNLlxFnNyfMRJ88nHDovOL4ScfWuef7D9/dYPznJibPTnFtsML/isdgVLHc1nV5EZ5Cw0jMs9+FsXzLf1Vy3a4Ef+7YF6QpxwamTJ3b0+vGNjfaOerM1+eVnHv0UH/jdP32pIbPm7W8lg//Fx/+SV91wgfrkF577dydOnf03e/cfU2eXAhb6Dsd7cMnW8/yXHzvP1RfWObc4xWKnyVLHZ7nrstR1WO7CcjdhuRuz1ItZ6MCJZYFTH3Hz5Uu859UhO9Y1Wem3Ob9UZ37JY6EjWOpYibDc03SHmm5gGIxiZtoR29ZrQOC7hpPnXYT02b5OsWOTYdO6AeeWA5460OK6iw2N+jJ7Dk7TaoaEocvMlGY4gku3jfjjuybZvTUmCAyzE5IoGdKq+Tx7dETdbXLNrpinD4ecW/TYPOOzYyNs2xCiVMTJBfBcgxCG7etjplqS3tCnP3DpDlyWuoqlFVjsaJY6CQudhLMdWBwlbNvc5z2vWeDmSxxqbpszC20WlmssrDgsdgUrHc1KL2IlZe7FFNznVhJu2H2OX/yRRS7a2Ob80iQLKzX6ozatyQuSZnvdLxxauvznNzSPJq99/dteauisuv2tAvjhQ/vx/Vr93NlT2x5/8rl3Hzx86j/uO3iCKJb0R7A8EJztS052E67dcY5f+bFFrrqwwfzSJIsrDZZ7Vq4spyDv9DQrvZjlXsxS13CuIzjdNyD6vOOVHd7yMs2FG2uEYYPlTo2Vvkenp1juC3oDwSgwhLEhSUBJg+9C3TdMtg3rpiMcd8ShMyHPHPTRcZM33RjiuCs8tneCCzbC5x+OeeUVPuc7Q2qOIk4ipqcgjlwcN2ZxscErru3y+Qda7NgIjx4IcGnwxpdpYjHkmUMJR07WcKTH+imHqaag7gs8T6AExBrCyDAKoTcwrPQ1vYFmZaBZ7BuGScL2LQPe8vIO77glBN1icWWC80t1FjspGXRgpZfQ6cc5uJcHcKanON9NuP7ic/zSj53n0m0N5pemWOo0We759PoO3QF4jc249Q0/u2nLxX+xfdvW46PRaHjJJbtfaijlt781AD908CAzs+u8w4eff++Rwwc/8NRTT4v5xZ7sjzSDkaY/NHSHhpWh4FxfcaoXccPO8/zyDy9x7U6fhZVJFlaarHR9Vnoeyz2HlZ6g0zN0+gkrvZhOX7PcN5zvCc50NFOTA77l+h43XRKzfb2iXXfp9mr4rgQUYZwFrjAYAUIz1Rpx4JRBm5A7H20SDOrs3Oxx85UDIr3CPY9Pcs3FLgfO9ukst3n5lQO+/JjP+mnD3mOGf/z2LnuP+qyflnzpccXNlyqWBl0On5jmml0h9zwzJA4a3HSZx0VbRwzjPl98TEEiOHTSod1wcAQMhhJtBIk2RDEgNY6n6fQNzVbE1o0Bt1w64Fuui5lp1ji3NMHiSp3lrj02y11Bpw+dXkynH9PpJ3QGhqWB5GxPsNBLuHH3ef7jD89z1Y4a88tTLHcbdPo+nZ5Lb+jQH0o6fQhiX19y6ZXm4osvft/OnRd/dH7+fLhz58UvNaSAvyUANzqSYTB860P337FzcSX+5YcfftTVRhBGhmGgGYwSBkNNb6TpjWBlIDg/UJzqJNx06Tne/8MLXHehy0pvgvnlFp1+jZWex0rfodNTdAbQ6xu6g5huP6E/1HQGhvm+YL4PURJw1cVDNkwn9AeGN7884IINmjiRONIQRnD3UzWOn6+xcSpmz6Ea6AaXbFFcu1vj1wY8dmDA/EKTyy9o0p5c5oGnXW64uMbiYIXl5TYbNhge3qv43tf2eWSvw5Z1Lgv9DstL01x76YAH9iRM1ye5fGef850ODz83Sd1pcv1uw65tI5B9njoiWDcdcW4+4p6nXEaRQkpItOGCjSHf8vKQXl+xaUpz7cUQhg2WOg2WOj4rfZfuQNHpS7p96A4Suv2E3iChO9CsDAxLQ8mprqAzDLl51zw//0NLXH9xjbNLk3S6dToDn24/A7eiP5T0hzAYJcSJ5uqrr4+CSP6r73jHWw82G/XP+r6rX2psveSZzH5/QL8/+v6zJx79tfmzz0+fPL3MRMvWXAtpMMam440xGARgAIMQCVIqHj2wnp/5kMvbb1niu167xI7NIWcX2/henbrv0fBdmnWHXl3SGrpMNB0Go4T+MGF9oBkGht7IZ2m+xskThjDWnDob4/sGEHjK4EjBYKgQuMQDh6svEFy0ybBt84Ag6XHHI4p9B6d4w3U+1166zMfuMHiiwQWbBzz9gGLzpGK2PaCm6oSRy/keNGsOW9YLntwXcu2uOq++ZoHfv32I57Z4/Y0G1x/wlYdDPv9Qk+eO1LlwU4MLNibMTYXsmI244oIEpTSOssej4fvMTfqEkUtv4LHngEt/5DAYKvojC8T+yNAf2M/eGyalVRHmB4pzy4bGRIcff/M8f++mkKt2NDmz0KbTr9Pte3SHLv2h/Z2DoWQ4giC0K0gQGu7+2sNurTH9azOzG5a+5bUv+6fD4eD36/XG/7kAD4IBAvFD+5976P2H9n5letjrUPc9rFcNAgFGYUr/RgiDTO+OTPCk5JmDszxxoMGB0+d5+y19brlsxGSrzVKnQbNboz306A8ceunJHo4cBoHDKDCMQk0YGaLIECf2HsYeRoNUAtcR1DzBZEsw1YINs5ot6wfMTnX4wmNw7xMuUk/whutcrr6kx33PRYSjNjdfLegMh5xfbHLTLs3s5IC64zOKFfPdCKUFV+9yaLQCHt9f41XXTvDyq3o8vl+BmeC6yzz+4bct8eUnQ770SJO9x2tsm1NsmK4z1Wow0YK6D65jUBK0gb1HBEkiiGJBGEMQYT9jkDAMNKPAyr1BoOkPoRvAfF9yvgeBHvG6a5Z46y0dvuf1mjhuc3axSbdfpzfwCtYeKQZDa5kO0+M3ChOCdKU9u3CaT37mjmkpkv/8xm95ldPvDz7cbL50IH/JAB4MlxHof3j66Nfef+rQXevisIfvOSAMCI0QEiFEelfpIyipkcJmER1lcJSm7grmB3X+7K4tfOWJLq+8YoXve90KV+zoMzPZYHGlQW/oMxi6KbCVvYeCIJJEsSCO7VJv0qtJSYPjQM2DRl0z3YrYvG5ATJ8DpyL+/J4ah080mfTr3HCZw01Xdnn4+Q53PtjmxotrbNs44I/vEijh025FrPQDtAElYK49oNvz0HGdt77yPH/2+QYXnavxlhsHhNEi9zwzQ5TUeNll63jLDV0u3trhK48PePpEg6eOeGyZlky3BQ1f4Ln2IpTCXvzagNaGKE4v1sgQRBkQYRhCbyRYDgRLPRDOiGt2r/B937LCKy5LmG3XWe426XRr1qFJWbs/UgxGksFIMgxgEBhGgSYIE0ZBQhAaggiEcFhY7PDHn7hzXXdk3v/tb3qFOTe//Hvr56b+zwD4Ew/9Cts3XsL8ic/9QBQOf3n+zLOznuzQbrqEUWKZW4AUIIVA5kCXKOmgZIKUIl2eNa4y+I6h5giWR4qlzhQfv7vJQ3v63HzVCt/3+hWuuajDTFInjn0Goxr9ocswcAgjRRRL4kSSaIE2AoFdHXxP06jF+F6I5wacWgy4/VHJwZMeR05OobTPRRs9Lt2huO6SLsqf55lDLTZPNrj8Qtgwt8xSt80VmyWxNnzhEZ9gIJlsxrzxZSM+e0/E8bMtdu90ObMy4tnDLlvXT3HVjnnue7rHA88KgtDjkh3TXLLV55ItPQ6dWeLgKXhkX4MDh5s0HIHvSJq+oeaSrnpgjL1Y4wTCGMJE0A8E3ZGgG0GoY7QZcf3FXb7vW7q88oqEjdM+w9EEi50avb5Pf+QxGDoMRpa1hyObYBoG6aoQJhbgUUKQMnkQQxQZgliyeKrDH378K+v2Hz77y+12M/7V37r9Y31xgn/3vh/9uwvw7/rJ/8Y1Nz7InV8037Nt6sRvuPrcpK8cRMslDCFwrKZUUqGkQUmJUqCkQCmBoxRKZeBOcB2B52o81+C7hoaXMFkT9AKX5e4Un7y3zV1PjVg/NeDdr+lwydYRo2Gfy3cYtm5QBJFLkigSLTEZuKXGdRKOnTMcOStYGWpuu6/BqYUpTOgyVVNsmnHYvsHhws1w+UVdtFzgg59tsrQ0wY2XOFx+UYevPCUQscu6KUmzETOIPKSRYCTK8eiMBOeWBJeZBq+5rsf9j9fZNOtx4+XT/INvW+Cjn+/xyP4m/ZHL4kqLHZvq7N444GW7enzHq3qcXlritvt8Fgc+x864nDrl4SqBlBKBLVlINETakMSaqZmIKy8bEAQRl2wNeOdrAtZNKKZbPlFU48x8jf7QYxi4DEZOWmKsGAaSYSAYBoJRgF0JgoQg1AShZhQZ+3VkGdzeBUGsWDjZ5Ykjj8zecPXcb7zt9dPRP/+ey//ExP8R4fzs3z2A/+T7/5xf+Ol3i7/3j9S7PP3ch37wDU81XntdneWVJsMgIXBcnMDFURqlHJRS9p4DXeIogZM+uo7AdTWek+A5mpprqEeGRmiYqCVM1QWDUNILmxw52eSX/mQadIyIY667csCODSFxDNpojLFJHCkEUgkc12P/cY+9B2s0aw4tTzLbEMzNSNZNO2yaU2zfmLB7+wqJWOQ3P9Xm2PFJbtzlcskFCcO4x4PP+EzWXWYmDJOtkEbdSiGtJZ2RYqlvWOwkdPp1XnH5Co/uHbDvuGKyXeNll03yw29d5Lc+DY8fbNIfGlZ6DueW2myYbbBuasT2mRH/4l0D2o0OTx+B/SckrmtQyiCEBoz9z0AcwwUbEm6+IiaJXKLYx5gGo9Dl7IIF9TBwGIUql2/DUNgy40AwCm0QOQoLYGfgDkNjQR7BKBIEEQxjQT8SrISCTjcm7j4++arLpz5kgqX4jg/+7McXj6w3Mzv+9zD5/xaA/9Jv/AmXb2+qf/8Lf/CObrfzsbseXKr1+i22r+9y8ZaY7qDBcOTjqAQndFOGdlJwK6u1HYOrpGVtRzByFZ4rCVyJHyYEkaEeaYJIE4aGdgxBZJfNMBaMIkmQ+ERJjX0Hmzy1DxJjsNC22tiV4Clb89Hy4fKN0K7DRFMy1VLMTDqsm4ZtGwI2zq0QmSV+81MTHDo8wbUXKi7cIrloyzJffTbm3OIE1+2QTLU1NW+IL32MEsSJRBhDnIQs92ucW3S59pI6V+/qcd/jNdZPCRq1Ftfu0vz4Oxb5jU9rnj3VYqWvWekp5pcdZiebTLXrTLUnaDci5poR268N8d0Y14lRKkEKG0wY7EUVRYrz8w5RrIhiRRgpgih9DCVBJAlCySiUBKEF6igUVluH2XG1j1ZvZ6/DKAX3KAV2NxJ0QghGAVdfsMiPv3uRHc3zjXOHZj522Wt+V59avuRTB5/+42TnVd/7zQ/wX/z1P6VWq6lH98+/88zJ07///IHjtVp7mjsednEd+Pkf6rB7c2JPzNDq6srdcXAdhRsqXGVwI4nnCLxIELiCwFOEkSQINVFkCOPEuiJx6Z5AnBiSRJNorN7W5OC2wSs4ElwXfEdQ8wUNX9JsKCYakqkJwbrpmO0bBrSaK3zq/pB7nplmZaHNldsU2ze6XLx1RCJW+MIjDZquw9yUotUY8cwhbMf9VsMgUFx1ccSVFxnOnkmYX/YYjhq86YYeX3t6yIFTimZd4nttrrhQ8/M/sMjdzw757N2zLHYN29clLHccJtuKiaZLq+HSrBtqvsb3NL6T4CgrtaS058AYbMJKC2ItiRNBHAuiWBLGgiiSBJF1XsLI5h/CEIIoIYw0YYk4gtgQhFnwmgEbhpGgF0k6saAXJBANuHbrMv/+hxZ44/WC5c4Miysnaoma/MNa0/tBz5v4xOE9f5RceMX3fXMDvO4ZGQw733XoyKnffm7f0dpkzSVGoE2Lv3pAEAaK73xNl3fd2mVmIqY3rOE6Po7j4To6vSs818FzU7ZxLeOEniCMhD05kSKKIYykdRDiwvaLE02SWHchMalTkrolQgiktDrfSVcH35PUfEmzLmg3DJMtzfrpgLmpHrFZ4eNfk3z08zOsq9W4cptg20aXCzZptm9c5lMPGpaWalyyQTHVhlYj4txRyfllH2+H1adzE5LJSThwxLDc1ZxdqHHxBTVee12P2++tMdMC3/NQcpIrLhL8yFvO48rz/NV9Uzx3qsb6bsS6yZiJpqJVVzTqkrrv4Hvgu+A4xoI8DdZzkGMv7ERDkgjihBToECWGMIYoSiwpRKl9GmvCWBNG5I5MENmKyCASjCJBPxZ0Y0EvNIxGIW2/x3u+dYF3v7rPa6+RrHTb9Ic1oqRGr3ukFifiQ8PAcRDen2J55psT4J/81G0kif6Bex949lePHD3W9j2FiQxt15AYwQpNvvCo4sE9Nc4uL/CP39Fjuh0y8ht0+zGu4+E6Lq7rEoYaz1X4rrLgjmwq3TKOsEyUslIcQ5RAklgnQWsbcGltsh7OFNwW4DaAFbiOBUjNh0ZN06rHTLZi5iaHzE6tcP++kD+8s87+I5NcMOFy0QbYssFjy3rYva3LIO7y8N42deUyN6WYbMFkK2BqIsbzHISwF9cw8FjqRqwMDJ1+zPllj20bWrz8kvPc+ciA/afaNPwIV3kIMcFFmxV///ULXL/7PH94Z4uH90yy2HdY146ZbMQ0apJ6TeG7At+VuK6NVZQitQ8tyg02aaY1OdDjRKerW2otxpo40YSxTeBEsclXxCCGMIIgtnJkGAl6saAbw3CYoOMRM/Uu7/vORf75dw2oeTVWuk0Goxqj0COKFFq7nDt7si087zfbM1d499/7uY/e8qpv/eYD+JnzHZSUP/TxT376/adOnZxp+pJhWFhYNk8o6Mg6nZHkV//CZe+hZd76qh6vubrL+tkRvV6dYeAThB6B6+BHDqFn7b0M4FEkCWO77EZx6mknpNYfKXNLtKEAt/3jKXODo2zCxHMNNU9Tr8W0ajFT7YCNs13OdQZ84DaXLzw6zdJyk51zgm3rBJvXeWxZJ9ixaYTjrfBn9zgcPtFk13rJVEsy0UyQMuDUvMF3JFKAMYIwcti+rssjJHQHiuWu4dxSnV1banzHazp84iseR8/5uE6EEC7aNIliyXU7ltn+3V2+8PiAP/7CNI8dbbJ5SjDbTGjWEmqewHcFnmtjFUelVqsUeU2GwV5k2mCdlsQCPgN5nFhJZ330FOBpHBPGFtzDBPqRpBfDMNTEg5Ats11efd0Kb3tlnzddr3FEk6WVOkHgMww8RqFLEDmp5ld0l8/MtCa3/fItr/k2ZeKlDwvnf00X//8SgC8udfA99x984rZ73n/3A3vWRYlJGdKgjU1GYDGGlIKu8OkGDn/2VZ+7n2ly7e4u3/06WwU3M+kzHPkMAo8ocgljlzBy8kApjq2XHSWZtpQkiSDRotDaWpCrElP47EpZ18FVGs/V+F5C3Y9p1QNmJ/sMoyFfecbw51+d4OE9k0x5LldsNmyclqyf8dg0J9myPuTCzcs8fXTIbV+bY0I5zE0I2k1Bu2Frqz//YI2WZxDCAmsYOLz15oDPPWRrYjp9zfllhy3rWrz9lj4P7+ux94BH049RUliQ6waj0Gr9v//aDrs2nufP7u7ywHOTHF+us6EtmKgZGp6m5mg8FxwlUNJeyJbJs6NuwW21ebHCxSnQLUFAlAiiJAV2Yll7EAv6CTbmCUOa9QHvecMS3/X6Ltft0qybchgOW6z0fILIYxR4BKFLEBZ5B20kjmPoLT2z7sTB6fev336rHg46H6k3vvFj5b6hAO92O8wvdpGC77/zK/f+yp13fnmms7yC59nUu6tEyqImDe4MSgo8KehJRc9tcrLrc/qhBg89M+ATV3Z552sHvPHmETOTHmHgE8QuYeQSRW7uCMSJIo4lsZYkSQFwbVLm1kVNmRAmz4had0bjuQm+F1H3Q1r1IQlDvvy45E/ummTPkQlE5HPBlGHjpGF2UjE37bFhVrJpLmLbhi4n5nv8zmebxEGdLVsEky2HdhPajQjhhnSHTSZbBiEExkAUS6Z9RaxjepFHb5Cw3FWcmq9z2YUtfvTbV/jlP/U5Nt/EUVF6YTjEcY1RKNkw43Pdzi5XXtjn2WOn+POv1rnzsUlOd+o0fUXLg6Zr8ByDq8CRNp0vRLW6TgNG24su0YLEQJwI658ngjCxSaJhYll7mBjiKEZHITO1AW963Qrvfl2PV14RM1F3CCNbdhyEHkHkEoZuythOzt5RbJNqQgg6K12eePTedRf2/V/ZuftlcWfl9B8gmkxMfOOA/g0F+Gg0ZP3cxNsefOjR37rzS19pR0GXiaZjl0BhUgq1CRWbMRQ2JS7Ak1BTgr7yGMQO54Maf/VQg3v2DHjZl/r8k+/scem2LusmFe2GQxh5hLFLHDs5yC24JYm2LGELtUSefrfMrVFpit9xYnwvxlUh3WHEfDfi1z9V48j5KR7fO4nRHjN1wbpZw+yEYKatmJl0WT8j2TATs3luwMzkMl94QvPYc5NcuUUw1ZK0GpJ2Q9Oshwg3wPcdHGX/vjGQJJJh4DAcRcRa0Btqen3DUtfl7GKbm3b3efllK/zZl2rUlxSOjCwgjUOceISR7fGcnaxx/UV9rt/Z55FXn+bYvOQP75zk/EqDk4s+npI0XYGXyTBpA8+cyDOpgmXy2AhiDZEWBAmMYgi1gSSGOEKqgE1TQ67cbs/HDZcmtOsOcdyk0/MIQi9dYd1URpblpEoNACsjk0SgjUenP2Dxoa/OBJHzWzt3XbMcjIa3fSMx+Q0D+OFDB5mbW68+e9sndj639/l2HPRoNV2i2DoYMkmXSWmZTEiDlAYVp/ZcbPCVoOHYZXDg+gxjl8WwwZ2PTXD/c0OafsAPvrnD1pmY7ZuG3HR5D0fYFjEhrFyxWUlbK23b2FJwYxDSoIT1zA0xyJhnj0ge3edw+8Mtnj3eIowbtBzFXN0w3TRMNYz1wdsO0xMOM5OCDdMxm+aGbJxb5p49AR+8fR0bJx3m2tBuKtpNQasRU/cD7n9eMQod3KYFlTGCMJbUHMU1u4Y89MykLXwaJqx0XRZWfM4tTPGjbznHyYVFHnpyDlcCIkIDcewQRi5BKOkPHaZaNSbbTV6+a8Crrxzw3bfOs++E5nMP13h4X53nDzeJhUMQKAaRQpVqfCALPNOcgNHE2mC0xhUJE15IjYiXX9tnx8YRW2Yjvu+NAXVP0axZxu70PLuixg5h5KTvL/XaU/lYAFulRoCwcjIRRLGit9xj8Z6vtQ8eOb3z3e96tzp48GCyc+fOvz0Af+iZPZyOm15vzyPvFUS/uryyTL3mEUYaKSCSJtWBBilFWg1ou1KUNKjE4EqBmxi8JAV6IggcGCZOeq/R6yX8yp9NYeKI9XMjLts2YmYi5p2vHbJtXUgUiVRvSygxN6n+lFIjpOCTd9d5+lAT4TgcO93g1LkGtbpiwhdMNg3tmqZdg1ZdMNFQtFuKqZbDzCTMTsasnxmxeV2XxKzwya+1GfabXLzF0G4oWg1Jq65p1WJcN+QLD9UIBhJ3ne0WzSRKs65408uG3PuEph9I+sOE7sBhpedwdrHBpTtavPOVXR5/tsGxpRZKaiBK9bJLlFg3aRRK+iOHTt+jVW/QrAdcumXEjbtHnDjf4eiZFRw34anDDp/4agOhbOEaQlZPotGABmOIwoTt62Pe/dohs+2E3dsN62cgiV2CsEUcuyx309UzUUSxkwLYKWKi/FHm7pat+yEHeFb1GCeK7sIS07PRrz78yAODG1+27qMnjz0Wbtl+/d8OgO/dfwzUuV1mePID3ZOPSCl8HEdiMCAkQmhiYYEtErtMKmm9V5WAk0CsjH1MhAV5Yoi1oJUYwkQQaEGQuATaJdYw32/z1ac1hoTPPGxHNmB0es+yeKlFllckSqRSxJGD1A6uI2n5sGPO0HQ1DV/T8KHhC5p1Satu5dBESzLVhpmJmLmpgE1zPRKW+fW/rHHfM+u4aAamGil7NyStekyjHtJsDKnXG/hKotKVy2DlQBS5jIaCYZDQCxT9kaY31LZlrulx8twEr7gs4MffdY5f+4TD8RUfITTGROjEEMUuYSQZBS79oaI1dGjWPBr1Gg2/Qc2PaNVDrrs4xHMjbrg45vteN8BRcZoE0ghhqqI8lXRaS4SQ+K4CPEaBw+KyQ5JkUtCulnGS3SVxLIkSRRwLC/KkDOoC0HEs0sSbreAMU82fJJq77nlQbpgNPnD6yPLXur1gzzcCm//TAL/tM59mw1y9/vDTh97x9LP7xFzTmq9KgTES25wAUhriNKKPU3tOpV/HykbvTlJUwcVJGtXr1M/WglgbIg2xFkRaEhlJoh0i7ZOktlf5lmcpBThCWCmkoFY31BxDTSX4LvgO1DxD3RfUPUmjLmnUHAvwpmCypZlux8xMBqyb7rNp3SIfvF3zx3euZ+ukYralaTcVrYai2YBGPaFVjzizqDl0xqfm2ZUKMptUMAoddmzQbJgd0R15DEcmZXHJSs+hVa/Rakzyfa87z+EzZ/nQbZtxpINBk+jEHovYIQgVw9AWRQ1qksbIoe671P2ETs/GGJ6b4DoJrpvgSNsoIaVN54v0bktXBNmEAq0FHZ1WWWob1ySJRGuVWrAW1Im25QfZPYklUQroOLNvs+dpYilObKIpSs9zkoCUkk1zHieP7RNJzDv81sWHPnf7Z4bf+m1/76UFuEZ5h0+c++mwv/DTbS+RsXZwhbX/HGXZWwiJTDV3Ig1KGhKVsbcFbpJ9WG1BniTY13XptSzNnlbKWS9X5IFSWXNDVnJrVwxHapy0htxV1tFxHWN9Y0dQ8yU1T1L3FfWaolWXtBqGiWbCZCtmuh0wOzVg2/pFHn4+4M/u3sRUzWd9S9NuCAvuuqRZ0zRrMa1GwMP74al9DXbOmbyePUubDwPFDbsNF28b8sieSQaBYThK6A+dFOQujVqdem2S97xqiaeeP89DezeAUWidWCKIDXFk8nqSYeDQGBnqNUXN0/iei+8l+I7GcRJcR6fFbNpuwSJtaTDCBv0ZLRTBuUiPrwW51iJ1qCyws6/jzJZNMrBbQOfZ0jLAc8Yun2/7lz3P4eRZI3vBwr/btWvCm2g3fwEIXzKAh8FAjkajn/v4X/zpP11eOuu1GsWv0wa0EEgtbXCXWHDnd2096CQxOGnqOAO29bCz7COWnVOQ6zQTlyUrbCsbpdMzDvAioaNkmrFU2GpExzYM+K7E9xQ1X1H3BY26oFU3tBsJE82YyVbAzMSQTXPLPLR/yM/9/nqOn5zkwlnNZAPadUWzrmjWoFlLqNciPHdEZ2SLxVxlY4/slrFeFHu06xGDWOcdMoNRQm8g6dQVjZ5PzW9xwYaIn39vh3//McmDe9djUGijSRJNnMRpKl0xChVDX1IPFDVP4nsG31P4jsZ1rd/vKGMBrtIgP5UpQphqg26a2s8uyIzVs7r57OskA6yW+bnLAZ6d18SuuhVQJ5TOsfXk48T+6ZXjp71avfGv3v2u73H7/cHPNpuN/+F0/v8wwIfDLnES/cLzz937k+HgRK3dVHkKONOZSZpkkVqgU1AnKXvbYMkCPGNondjXin+bebRgtE3v67QEtHxnDOCp7E6lEWkwa2WToyjKbR2J79kBQDXfjmSo+4ZmTdNqJLQbEROtkOn2kE1zKzy0b8C//+gs+49Ps33aOiytuqTZkJa964ZGLaFRi4iSkD/6UgupFK40KFHYhNpkTOfy99+wzBcfC+mFPoMU4P2hotdXdHyHmufju212b435j/9wkX/7UcEDe9ajjSTRNq0exbbQLAg1Qc2Wu/q+oOYKfM9mNj3H5BlbR2mkst64FAaRPZYZwhREVbZbywDXpcK1LLGWaNCJSKWlKIF5bWAniUlzFQZNWkaQGJ585nCtNfnV//etb3m9WFnp/szkZPt/L8DPnz2MMeblhw88WXdkQLOm0voP8lEL2YdS6QFQiSBRpgpmVYBbK1PID120X1mg2yRRdsDTcmfM2PvKAG4tSevUyBJ7O05WdyJxXWnrNzxBzbczTxp+QrNuwd1uhky2h8xNdnh434Cf+8g0zx6bZcuUYKZZkiY1h2bN1q/UazF1P8R1A04tTuEqgZI6teWKIDNJJHGs2DhliOOIblSzPY6BZjhK6I0k9YGi5rl4bg3XmeCSLTH/8R/M869/Dx56bl0qDzRRYojiJGVyTeBraqFk5KlcgrkuuE7W5idtLkDa2CiLkbJFZgzjFtykSaG0YCtLoBVEJChXamag1mPA1oa0PCAjM1M514m24/FGQcT9Dz5W33nRjpdLKb8uHr+hAF84+WEmJp9rPHL/s54yXWq+sAcohkSWPpgRKeBTJlb2qtYZo5c+rHZSlq7IEJMvX7kcyRjlBd6bFEURlZQ2FsjAraSdtV3IE6i54Huaes1Q961+btQj2o2QyeaQ2akOjx0Y8W8/PMUzx+bYNKmYa2om6oJWTdKoKRp1Qb1mLw6b6g95aK+gP/KoKdJ0udXgWRNCogVR7NCsKW66vMfDz7YZRFamDIOEwVDR8xW+p/BcL9XPk1y6VfOLP3yen/pdeGDvOhtsa502Sxc9mIEn8T1t2TutTXHTi9veSWVKIeNkmuVdG+TZcRd59tP65xbo5dW2XMyVk5Uur872HJsSk+cruiatBBWcPL3Cb/3ebd63/r2bG7/+0b8Y/OR73/2/HuB79x+lo7dPHnjqd38Hs/gq30u70I09OIlMr1ZjmVtLUr2WflhFZWnTStgS1nHWLgFam2J8RMbcpNo7PxnCFhQJmYI7LTJSOcBBpRWDrgOeC56rqXlpgZWfUE/lRaseMNEaMtXq8uTBgH/74SmeOrqODZMOcw3NRB2aNUGzrmjU7fYolr0Tan5MqzHinqc8Vjo1pqaKNHkGmCxYixLFuhnF667uc8+j2nbRhLoEcknNldRcB9fxcJw6Umou3Wp4/w+f56d+1/DA/nVE2iHKKgATkzO5H8m8utBzJI6TFmFJgXKyY0P+/rKLMJMqIqtKo0gIjd916TEDudbllbcAr0nLlSvfLxFabi6kRV+9UULS770q7Jz5vZ/4we//sfe+/cTK5PTW/7UA762cIxgu/dSX7x18V1MZtm1wrEuhTFHEJIvAUKcBo6o8Hz8YIndEsgKgAtwvwNyp+M4ycrn2llkFXaG7s4pBR2HrMxyD69rG4pqnqXkJ9VpMoxbRrAW0GiOmJzo8/nzAT//uLE8eXs+6SZd1jYSJhknBnbJ3TVL3LfvX/JiGHxLrgF7oI5TEzRg81+CZfEu948il6Y1suUBYYyoD+Shh4FkG9z2J6zi4TrYBreGKCwy//GPn+Je/rXlg33oi7RAkgjDRKYsLapHGdw2eK/Acna5etuVPpSta1vOaSTpZil9AFBdmOdYZA3dOQiViKuRlSWNrk+KiWKGT/CIolzXb3133JHO1Do3k/Hc9u+fJQ0kS/ev/pQy+cP4kM3Obt3/x9t+/ckNrASl8osjkIxxkWjyVB4n5hxElMJev9uJnx9kgC2rG60kKq9sUrF0OKrPlNu3QUWkwZVveLLA9x+TVgzU3SXVzRL0WMNUeMNHs8dDemJ/54CxPHF7P3ITDXD1homZopeCu16ydmIG77ifUvJh2M2TvUcPdjzfxpMRVOp0UUHgU2VIeJYpYO7zmuoidF/Y5dLzOXANGobH3IGEwSlnYUTiOm7bxWe/68u3wiz+ywL/+Xc3Xnp1jFNUJEkkYGxqxlSy+iwW5k61eOu9tlSrJVzglRQngogRyVumVAuQl4jHlVbdgb5MB2BRuSVL5XnnlLn7WYFfaUejwlfvPcmb5kSt/4n0/tP3YsZPHtm/f8o0H+ML8OfzaxAWH9j38X3W09Dbf7eE6NliRwr4hKTPdLFLGthG3vbJFAWQ9tqRlB0mLAuCMuSSr3JKUucfBLQxSZbagBYOjUtZ2DJ6jcV2N72p8L6bmxdT8kEYtYHpiwHJvwL174Bf/ZANPH5xlNgX3ZN3QqguaNZF75dZ50Za9PQvwuh8QJgmjYY2asheZFKWlnyxbKNJA07Fa3gkIQsMwEiWAazwvwXMdXFfaqQLSzQGOgKt2CH7xx5b5lT+NeWDfDKc7bUZNyWRiaMWGWjpxwHdN6v1nToopJhakUiUDeP5+0zddxnmuydOTYvJzZapsbqiCO2XxDODZzyelnyuTHIARtkv/3EKXqTOLb/vqPQ8kt9x49f975tTpoxs3b/rGAtzV+3Di+o1R/+l3BL19tJs+giQ/AFWNlllJJl+SLdDH5YjJo/G1pEgZ4NkhLqvC7CTYcQ8Ze5tUnpi0atAyt5O2v3l5eawFt++l4J7uM7885P1/1OC2B+dY6E8xNyGZq6Xgrlnd3UgDy7ovafgmZXCrvWt+CITc9aTHcuQx41Opx0aUl3Srw8PIoe07vPbaAQ/tD+lFPhNpY+8o1HiBrVX3HAtwO1bDRUiboMHAJVslv/ZPunzuoSG/8JH1nFyYYjjpMOkJWrGmEYMf2dHLnrIDjdws0JQiD4Kzx3KgXr4whch7RQoWz8inxLxVsJfYvczQ5RVbj10Y5RoiACQPPn4Av7XuHUPT+KPBYHj0G8rgSys96u3mxc8988WfOH38QeamYBgkeeOCQeS6zNpJotIDmAHeZLIkvwhS+aGLD22yTFpGExXHJNPdxYfP0s2ZC6AygCuDIy2wHZX1diZ4boLnxtS8CN+LaNWHOM6Ae55K+L3Pt7n9vnWEus26tmC2ZmWJtQAzn1yld5Eyd5m9Ixwn4P7nJhmEDhsb2fsZZ/AsFrFFSTVX8fJLh8TaAnwYiXQUg/W2R4G2waGTzobJ7L18WqNgdlLwXbf2afmn+cjnh9z73AxnozqDmqQdG5qOsSB30jhEmTQuMSnIs2MoitpxCZKCxcd3FCyDPAv6K+SkbQdRtlobxgFdljZUyK183o2B7sjhqb2P8qbXbfuJt9z6LU/opHtAqq/vjX9dgA86R3jk8XtoNic2nTtz4tWDTsTUOhfPi21qfAyUuXbOWBmRf63X+l6J0coXCenvWitFmTUtFNIky8rZikElySdfZcztKluL4bsRnhdRc0MajRGeN+BP7nT4pT9Yx6H5aVy/xoaWYNpPaPuGpg/NtMO+7ttsZy1NCNn6lSRdCaw8Wegm9EMPTyk8afIAM3v/huIiz1LbYexSd0dsmByyMmgxjEQ6bs3GCq6bpDafSu1OlfvXReBqKx/f9so+N1w2zy/+4Yg//sIcS3GTge/SdCVtx9bg+A54irwZwsmSPunKJ3OpUmQ4K5p8TJRXgZ41OFcBazJZwpgsHQN/5QIp4UBISX+lz56nD706CbxN3e7KgeeeP85lu7b9zwHcmIRX3HzDBedP7/vgysnnqE14aGPwnKRg7vzNiQLgWdFOxtZ67PuZY1K6KMoXywvd8gMus0GcJYBLY2cXVpg7SUEe4zlWkvhegO8OOXou5kOfa/Lpr81w+NwU7YbLdA2m/ISWb9LUewZumYJb5kmhWqq9fc9eOO1mwKfudzhwrE5NCZsxzBwUCpTnYxyM1eFR7HDJdvi2G3r83h0z9BsO7cgO1PHDNG5QGseR6WQvSiB3SyfLrgrbZiU/870Drtxxkt+9fZrDZydYiusMXIemEjRSoHvS2AsndZny1S87rpl9iNXnhUdePUHluL8iUcYZ/QXsxexn9JiZkMuf9Lz3BjU+++UDbNx65Qevv/4Vb15a6X5dqfKiAB+NYnxfcf7kI1t6y3suatfOgXCRQld8XbJMVwbaVUAeB7VIr+ji32Ufqvw7C1Sbig7MgJ1Pms2aJ6ROXZOMve28FceJ8Z0Y3w/wnIBeEvKBj3t85HMbOLU4iVZ1picU055hwtM0UuZu5Ol7mdappNIk9c5zcHs2exlEIQdO+vRDnyk/dXGypFPGgNmFbEo1KZFDu+mwY0uI8kf0whZDT1CP7AwSL5VXbipRnMz1EOoFglfF3MSAH33bgHe85iwf+VyXD31yhoVhk6FTo+YoGo6grgx+bCybSytVHFmUN2TZzXEmhzXkSgnz4/o8Y/Aqq4sqwNdg/fLvFQIiIXn+eIf7Htl7UbPhb3n9q68/qpMIqVxe6PaiAE+C04SmNSeV+vji2cfdhg9ChDaCLx3U/OCOg7lcmaaz4p2MrasXhT0mxYqQY7sEcKu9rfZUWYpZlMGtUSqxAHcSHJXguRE1L8RzQzqjkPuflvzJnW0++bUZRkkLz/OY8QSTnqbpGRq+oeEV4K75Et+X+Kk0sYmh1JlIAe65NvN55Izh3scahJGL3zSrAszspnMNbqv0wkjhug6vu6HHn325z/6TTYY1O+8lcA1eDG6kcUONUtL61tIOJs2H++TnIPXYtaThO6yfHPIv3zPg0m0Bf3xni0f3TjA/bDJSHq7rUHMEdQm+TG3UzF6VJh1+SuXOONCz/62lncfiKZ0z9RpyxAjbOreGTBHZBxQgcLnr3ifdt7z+ZR8/v9i5eqXTn/8fZvDGhCd18OSN7uiLE3OTi4DMNV/xYcYBnd7TTvZCW6cXQMb4pljosp9d6ybSTyczoOcpZZ2Xe1rdbXBUYgGuklyOOE5Epx9x3x7B79/R5s7HJ1jqtJD1Gq26YtI1tD1NwzU0PEPdI2Vty9x1X1LzFDVPUPNIK/R0Cm6N71r9rZyA50/CqU7NJlZSfVtNnOQEnvZBWpDHWhKGDuvbgou3DnnmeMwgctPhOuCFWPCpJJUoWaIG5FhnTnbxZDZklNj68He/bsgbX7bMV57o8bEvtHl0b5vFXoOO9Oh7Dp6yzd++tP2xjrS71GW1PFJY6SJKuYcM22U2r7BvCfBlQOuc3KqWcG5AUNLp5Ys3/XsLw4T/9OGvTPzgd7zqxluu3XkHLzI86EUBfuL0WT8M+O0zzz/TvHTLgCTxSYxKg8QxQI/diyCyHIgWFwNlgI/VcVcBbvLHcoG+lSU61dwaJROUTPAyN0NGzPdi7nnM4fP3tbjt3gnOd5uIWg235dJ2YMK1nTx1l1R2QN0T6V2mJaep7vYEfsbeGcCdGM+LqXkhxkTc9bjPsTN1ZqcFrtSpjhVFo2+OgjTQzktOFcPAZft6weuuHfDpB0P6kcswEtRcgxdbFg8iU1qlVO5XI2RFpti7LBoVtPXb637Au28d8i03LPKZr/X43H0N7nm6xflOg6HwGHoOjqtwhLAthFLiCpNKLYNClKRhOaW/9m0c4LkEKcuTHMyChNQXTx+TEuCT3HHRmCQkCZ9oXrTp+t9OghOXAsP/IYD/6ecOsbjc4Wv3x3zxV3roJCKMXdvZYVSlKB4j0k72KsipXAiZDCktXS9weDL457IkB7hO7UCNSAHuOAmeE1GrRYyChP2n4OhpxZ9/aYI7Hm1zfrkJbg2n7dJQkpZraDmaumuou1BzLbhrrp1JaMtMZeku0u+bFOQ6B7nn2va0Q6c1zxzxwXXTZd6UUvQVC6LCXkneGGDHOV+xI+CyLX32nWowrAkascCPDIEitfZ0yt6Zm5JZkIVWyX321IrUWqXTB1xGoUu9HvADbwp4600rfPGxPn/x5QZHT9fYd6pBuOIT+w4jx0EqadP5gJM+Zkwu004pkeUj/hoAN6QSKr0QkxLwE1N0+OfWITqtP8pM9BiSCEcP+al3nuLC6ecm2+v//vcMhub3GvW1cfSCADfmsAiD4U/c9ukPzHZ3Rjx6QPCyXUPqboBUiiRShKFKlxVVkiZyNbOXtXe+aSv587VZ2+QBpf0660CxOzwomeD7dpJqnCScXYQvfdXh0Mk6dz9c59RynUOnm+D7qIZDzVE0HUPT0dZFcNPB+a4d12ZBnN1lelcpwEk1dwpuN8F3LXvbCyvkyDzsPdrAlVV7MJcoFPXgOXtlToqW6WwXl8u2D7l43YA9h2MGsUsrss3XXmxnAqoSwKW09lmZyaFY3ovan6z+3PZQRolL4Hq06yF//w0Br7yyy6nlLnc94nH4hM8XH29werFGMnTR0iHyFELKtL82/XukGU9E5fOtAjhV2VLR4ek37bStLMOTGegGSEtRIw1RgnBipAx52SUD9hxVfGnP0ckfeE//xz0v+kjpz/31AP7oo5/BmPi76u7+5rlFyT/6xTkuvzDk1dePuGxHzMapiJ3bRygkcWgZXadBk0GukiwZsMsOydoMnjFCIUeEyFqsrL52/YQoMRw+IXjmsOJLDzfYc8TjuSN1uoFPEPrgeqi2azv0FTQcTb3kA/tOVqeRlc3aunA/lSWep/A8mV4AptDebpIO3bc6v+ZFGB1ybkkSGNts7aWzXjKbbYzAc5AnptrvGMYuAoe56RCpRvQjl4EjrNMRFQVjjtKVDKTMMl8A2bAjLNnkTJ71TCYSN1H5+IlB4LFhKmTb+ojrLgwYhkN+8EiHPUc9vvRQjWeO1Dh8vEYUK/AVRiq0kKUPl+4sXdEqRQFcySkv2WTZo87WMzBJyRRPO/yjBMdoLtoRsHkq4pIdIa+5LuDyCyOeO+zwhUee5c6v/gGu88Ibdq8J8I/8yRf48sMr6o4HHhEnjmzg6KJgNISnj8R88ZGICTdm2+aQK3YHvPGGgFuvDTE6sbP9WtgaWQRoQRzJnMVzubLWgmZKbC3tPHAhDEJqotAwGFngHz0p+dM7fQaR4snnahw84bPQ9wgSDxwPlItqKzwpqCtoKENNYceZqbTwSFnW9lxhkx5lcLsSL5Ulvge+R+qa2JS562g8N04zohH1Wsj55YQvPdCi0/OZmhA4qRcvSzhYvUJSlC6kUiIIFLMzijfeNOKLjw453mkydKWVKY6dHeNGmWedeuwysXYh5VknMv8b2jilv2GB7iWKxFHEriJKHKLItVaqG9H0Il55RczLLw14+6tHPH9C8tRel2Go+OMvNThy1gUhGQwdklBl5ZsYpyzKywQ29qExlUcRG4Q2GCyw640E19MIk/DaWwLecH3A5btDtm9OaDuC2ZbAGMWOdZIbdnVQ3jOi1n69esehz8WbL1o9xPMFGXzd1MQHFs47Vx1dmiKUAhoJWsfMD23wdmQp5oE9CZ/4SsTsVIzRmmt3hbz79SOSdHfguUnNNVcENGspa2ee5pp/UeTDeToDwVNPuyx2bdXew3tdPvu1GqNIMYoUZ856aOEQGRctXHAchO/gSImnBDVprMerwFcGXxlbA+6knq9TMLeX9WXm4FZpj6bI2dtzNZ6XFWglOXt7XoRSIV99QvHpB1soz7F2W0V/vzCDZ1641eF27MJo5PLWm4fcdn+XP75rgn5co5nqcDfT4VGWlDF5t5AQ2ZWUlaHJqjuhC00eJ5LYsUzuOorYcXDixAJdJShlB+lP1WJu3h1z0+4IIwLeeeuAUWRHPfzV13we2etR9wULXcVTezy6A5mqJMGLh562krBZ01xzdcjsZGIbXxLNu18/4uqLY4y2+JmeBIXCGI8kUfQHDnGi0NphouEwDP2rpJr9ALDmlhGrAH7ifI8tc832b37o07ubKlTrGoa+lgwSlzBx0MoFbcEe6JizHc3ZlQRMwvPHNZ/9qr0SjTZMTCXceFVEq6bR5TKxFwA4qeuw0lc8+oxHt6OQjiTQksA4lpmEg50L7CCkg5QSVwpqynq5vtR4EjyVglkVM/osyEXR8ODYRoCs8bgMbsvwaVmtmzF4UrrH+E6EMSGnFjzCoIY/IfHStLcS5D6yKC/hpZKGLHOXMWuiFWHkMtVSbJ0N8cSIYewzjAV1xw7JyWpIsoSWkuXyVpn/Lfs3ZJr80UX2VOtSZ7xMKxqTNG+g0o0HYqI4QUV2zISjEqSK2TKr0xVDc+m2EaEZIh1NpyN49BmHlYFEZa6lEC9yrm05bbOmeflVEROTBpNYa7muQAk7ek9rhyRSRIki0ek9UcSJQxQ7jAKHYaiUag92b7/kO9tGL3WFnH5xgJ89O8/i4vIv3/vE0VsXV/o0PYWKDa6AoRCMjEOsFca4GKNBZwN3EmKj6WT6SRq6K4YzXy0tSS92y3WkwAiBzrZcIK05FaoIcqRECTtzz5c25exJk25BYtL5JwXjZeB2HdtRb7feIwe3beuyW6L4nsBzyEtMLYOnLO7YPYFcJ8Z1I3w/4sSC5g+/2ATHw5WiCDBzeSJWMXjZWciGhFqw2RMYRi7f98Yhn7lnyHPnWvQTl0ZsN6W1VYCm6MRRWU6A3KPOj2VuQMhSgVd213ktjOMo3MTOS3FToNvEWWItWGUtWBvc63RwUIIjDMIkzDY033qLAZmUkoDm6/iHqWRNXHScXYySKBKEqcWpszF8Wo4BPJum5WB0FxM+e2vQv+GXjYn/0ddl8M/cdidSCq87f5qaA3HqPwrAEeBrCKQg1ILYSLRUZEXuRfSrc1Anbpm5zdinLC1lQgDFMpsFL0LKvAVNCfCETSt7wkoBR1J6zJpqS4VEDqU5KOR7/GRd9QXAZS5bfM/kLW2ep0uDc2LclL09J0LKkGNnBfPdGsJx8CUVeZKn50tJkSJxUe5gKgeCijB2mWkHbN8wZN/ZgGHiMErAT+x4OzdOdXhM7iwVKXRV6VQosoiy1NBdGvmQaJxEkyiJcrLty1W+k50dElQGtkaJYjKW/du6ZAiUhgml57mK87H8RyWjXZgTOp0vqbWq+Pk6dZyilNnDSHDmzArd0Zft7r1fD+CdxdMIATU1ouHDKLJAFMKgNDgaPA2RtFOnIiOIjR29q1GpJZRtqFo8FrgufV3WjHltd2ZBpeMehL2wXGGdCUeavMYj+zp/LSX7ohSUvMHWU8KCvQJuaR+9DOhZ8Em+PaGXNklkEsV1rD71vIiYiM/dX+fcfB13QuGVazjKDgpjZFYpOhJjQaBiFNgJtm+5pc/9T4/oxjUGjkM91oRpOl3JoiAqKzizQMv+UhZoFkkVax2mM1UMJMr+TUcLYiVwEpnuYmfLHjKgFwA3BdDTTLIo5SYqAAdbr74myItXxovzKiDPRmBnblA2Uas0Om4UKlb6hnj+HGuphArAD+37NPV6/RV333vfDSfPRhhtrSg3ZfCMlRwJrimG8iQaYjKQpycNSqn5ai51rVSvTE9JlkhQ6YqRze7IwK5koXFVBmxp95PPRiGUgZ3PQVHYfsS1AJ4FnJnudjJZYlK9Xa0l99wIzw0529E8frAOjoeTyhOnVKCUZfvEGMLtySzqp4uxC8UJjCKXa3cGzEwO6Sw3GMSKhgI3tp9FJXaYkorKAMeCPP9Dslpjn9fe2ylVWmkSLXC1IFGSRGkSJYhTkMel4rWsHEJmDlEG6jTYFcIgSbcwLBVnZVJlta9SzouUAV5OFIoc3EZX44ZsDryU0B1G7DvHDddf+/JX/Omnbr/vu9/xbWsD/P49CZ4bfOtdTyXX7D8Z4Uo/zRraE5QBLcs6JTLdBkOLorA9M/KzqzNjrBcAuCxlwgQpI1H8rXIdRNbQnEmADOwZyG1zcdapYmWJyrtXCmBnzbeWvVPN7ZDr7cwStIxdgNvNqxMjBBG3f83n/j0tpO/gSWHnb+cVhKX5LPkJHs9mlkejiYrWHI5cbrp8yLe9sseHbm8RJj79RFJL7F45jiyqFXOZIrNReeU/9UJMDtqR6SgHkYM7URKltGV0KZHKlGzPEsgrJRNV9pZlUI8BfYzGKWSUKNWoFPVMGcALJ0jmdTbaCFxl2LpukfUb3Wsu3LH0rUkS3bcmgx85dpLpydYbP/pnd37vQ4/3SWKXWi11rRV2OlUKOJU3laZsLUv9dJTqDTBrGifVsktTYfEMGKpU85CXb2YXmRwHOimDk7dhVVg87YZxVRXcdpzCGHOnPZte2t7mOlnDQVy6R4RE/MVdbRLjo/LsZTnALPoaM2ejosHT3YjzLict0aldaINNB4HLu1874I8+F7CiI4ZJjWEicGNyFrfzaERedGbtwnEtKimsSVECuSBx0m53lYLcMSht5UoiDVJpYilTx6aYMSlKLJ4zeMbcopS+LwO8eo0X+Z+8ilSU3mMJ5BUSKKSLMdZ9bvouM7UejjHfu3nH2+5eWTr9xcnpTVWAx1HEcBjslHp40aTTA88rGkEBIyxDy6w7R4y1HJUYO59hUv0c1Qs4PQAyA3nG6GPMlzH1qjmD+dfFbI9sTxqVglupsWE3KbAdJQonJbcDbce9bUw2+RaGGXM7Jfb23ZDHD0oOnK5hlIuSEk9qK6lEWaIUS9O4i5Lds8kCWQNExlJJoohil4s2RVx2YZ8Hn68TKY9hLKhJcBODEwsr57K563Gqw5EI9BiWRInFRUkaFXNqknSCr6O0HY4qDSqxQ51UOgI6Y28LdFkCeNE+mM1UKZ9XUZEqVVyUpUqx2hQgL2YjZtnfrJjM/pth0GRwPmGLE180u2W0M46jL65i8OXlZcJgRBSOaNTsO4mSks4WII39EEVf5Vi5Y0mLrCqAHwP4Kg0+VrMhxxg8Y+qC0UXRPS/IO10yJs/2vSxv/50BvDz8x3bbkwM7z1bmzJ2k24WnwaUTYYj4xF0NFhfrCN/Bk+COX4hrBZgVH7zoTSzXcefetFZEkcPstORdr+vx+ME2QVJjoDzqidXiWTmrkqTgztYKnXrimVhMpco4S6bTDsqTqBxNKpWyFck2byud1QLJPMlkVwwqLC5KhFUweZW911QqeW1Ktaxalxhdp+/NmJLdmRarDUaC/iBkZWWJOBqtliif+cztKCU5t7BMve6QJHZ5jROD0PaEaZ0xd7lRtMTa5Tc6BvL8g40BuwjCTC5RyhnAsqZVlaE+YwyuisdCrkiUUwW456QDgNxs68A0w+kY3DwVr9Ovk8rdUbZz57lj8PE7WwTSQ0mVZi+rM1nGM5hrntQM6KuWYJknNPzE4V1vGPH7dwx4+nCdSLkMpMRLdOoeCWRi8mNlAz+Rlz3Ym07/VnXfojKTF+C2g5ocnUlBjUyyERPFyGXrqMiKFs8ALSssPiZV1mJxU3xdbqAp46u8wpVdp2zQfpwojhw+xImTCzY/Uwb4qVNn2bRpfeM//9rv7AhOzeM5glhkO6JZLZloy07jDaNlN2B121Lpo4xdyeUPW3YbxoOzbKnPgJMzeXncQWn8QXlqk+Nkm7ym2luNgTtL37tZY7K2M0PyFrGspzNO7xHKDTlwyqEXeqCcVJ6YsfLY6sW7ykUpk8O4F5524xSJH4emK9i9ecTTB0IS7TPUHrXE1mw7qQZXwm7WahNLme7VZEFmweSFFZeNcnDyER72NZUOy7QZU8vYiTb58c7GLsfZtjSCsUCz1OYmLBoK21DkcqUMlnLhXeX4jOnyrLc3SYTdFCHdijyMwXFi1s1N7HjjW3+o8ZZv//7B3LoNFuDLS+cIRp037Lpw/U8dO7wPjGIY6Hw6lckPjEEYK1VM5Y2sZqXqK9UrtwzucTBk9dMVgJfAXR7LVnlUxZBNWZIl5V2MXUXqhVtwWwAXQ4Hcsjwps7dK+zq9kKWe5r/9ZYvFYQ3hu1aeyCLwzUYvlD/XC90qYzay8Ro5g1tHJY4d2g2H931Hj6883mYx8Ailw1BKvLSHshj5kAXtBYisbZc6KegU3LpU8VmYBU46Pi0L0jOwqwzUeQFZxuIFwEX2PWzXVc7eZR0+psfHl7QCNuVYrvp1MSWtiFeiRDAMBIPlkLktMz+1f9/z9wXB8DM5g/cW9zByPeriGBdtTjh8xmEwssjN+gmFtAdBlAJIbVa/ufG8zpoAL33gKnMX3S95R7coQJO5E5bFSwBXxfgxVQK1IyVOKkmcHOCZ5tZ5UOk6Oge3m/ZyFh35FtyuivC8kD+/y+XZQ3WQLlJK/GxchSixmSj1YYqiG31NcJcTPqUTp1MmjxKHOHa54qIBb3tll9+/o4Z2fIbSw5ciT/ooKYhElmBazeSizORjdlwuVRQoY1cFbYQFtyocqyQFupQiDWwL/z0Dvd1Bj8IqFFm7YbaCC8pN5KuOS358Cja3eZTqKL/sOGWEOQoFzx0JWAqPcnoBwtBuDOEAXLlrBcfxWZo+z9ETi5zbO0MUFigtW3i5TjK5w1q0nGXZ9xe5iXSZyj90mcElYwAXlbavrwvwfKCkGEv0ZAA3dk52KkVcVbglbmk4UKG5LXu7jp1atdzR/NVXWyx0fKi5Y/LkhSUKWY3I2Flc07Yr1YjrVKJEscNUW/Httw647f4Ri32fUDkME5nakyngso2+Skmmsg63eyZlgNG5Js8COWVSHa4EjskmA9vHRJWCe2lI0r8pRAH6sgbPHKTKXJXcSamCxBrKhY1avOtCJhdsbnL8gb2w6n7CxtmQB/eusOdkgJiA0cj+gPOVh55j38rsBY88efePP/zYWQ4f9egtaWaaFhRrNc2WO6grtQVrE3flQhEplRcnP7t4xJj2FkXglC37GaArMkUUHS4pa6sysFWxF72TMbcqMfcqBs/GTRQjJxxlM5dHjgqeP1ZD4yOkdU8cUZQOVB0UUXI1imWrXItSMLmosFKSOxlZ7YUDxuGS7SEXbRyxuK+OSTzL4omVKU7JxckbRigXeqWCOyujhbR2SFAEn2BkMSi1HNsobc+DLsnFJPtaixJ7m5JEKzcpm8q5rwabYxnOystjo0UowJ1dTK4ybJoL+O43DOjHT/LaV23+8W07X/vkr/7zx446wggcEW5YWKq98c8/J9g602SmofNagXEnoHxyyu8vjydLnqAoMXrxoURVomTLOWPau8LgRedKeah9/qgomDv3wcv3dEtrVQZ3CeTpfvWuSlk7ZW+VPnecCKUiPvdgiwMLdfAKeVJ2T8pBchY8v9iKVp0LUkpR57ublcpoQ4cLZ0PectOAR55rgHaJE6vF3SQd8plUpVIBsOxEZLahTAvkqsOZjBFomX4t01VFZnd77JN0xbDALsdG6QqsCybPZJJMT3b5Yqs6auIFj0/l6/I/wsaDStnPGceSiza1aNcXmGq4b4xH8QYdyaNOuwYNFza2BVdsFDTqOgdGlY1e5ESNAfuF2Zsqe5cYpuyYFM8LQAtRBXYuU5QoNeGWwJ3OJyy27WA1sJ1iQFA+4s3RKchjK09URL0R8uB+xWe+2mQ48qDh4EiBK6rSZDzArH7WtY9bRX+PWYZlXzyKHSZaDm9/zYg77h/w8H4P03QZJn5aYZkVp5XZs5CEjIHcVPhTFxeYsmyeSKvHM4AnefZYpCxuivOTS5Uxi7cE8oqpkBfYmVU4KeH3RQus8zJkDXEi6Y9cwlhxJnEwkxNsqNsafafh2QbambZhy5wkzoR7Sfu+2El60duqwHJsB4FcK5aBLgo2KGvwErBlSZrILE0vSwGRKpfN2va3bISyk27C5Kgq0N2cre1dKRtgel5IFCbc8UCD5443wHURUuVluypjTFmw2FpVhBVHpWKDZaOGV3vh2T2zC8PQ4dJtMW+6pc9TR+sEsUciXYZa4SUU7yUnilzJrgK5GXsvqOxi02glUJkPLQVGWedM6wLoxbkozTLU6YUlRVF2IVe7ZeWAs4yrvwnGst+ZZYHjxG7NuNyRtOclXithNDI4d9x5O46rWFzoUfNcoqRYDqrd0qK6Qvw13kAF5KtsQVFiubI0EdVHsRrYFQ+8VCZbALyYnJpLlBTcdsafyZnayR+Lr900uHRUhO+F7Dkm+OL9DQZDD5ouUmSVg+WamDWymBmDjR2VrBYl03bVccPVvSmTUgFWGLm0WiFvujngtntGPHXYB8djpCVepsVtr26pNgREYtlSCGHT0uVwThVOjqMopIu0bJ6tKnlyLQV6FhspI9JEoClkpS5Zlpq8hLeQo4U2X5Xd/GvgqyAN+3sSnbrrxta979nzIPuefxxjNM6n7zqLNgJfxUz5Bs+RxZX0N2Tv1W9YrA3w9NOWpUhlScuXekFhEaYaXBUjfsdZ2063Kn3tlOeDZyODU3CndzebQpsW+DsqtncnwnUjYpNw+3117t1Th5oD0jY0u6US3kppbPlefrLGbXxkcDbiLmtGTozIA80M6MHI5dVXDHjLKwY8e6xGHLsYoRgKBzcp3o9IChZf/TaqTF78fYNSGXNbNrfPs60gq0CXqcOS5y7yVcwUr1VW7MxRqcZha5Hii+OsiDLL+BQCGnXN1o2LTLY1cQzOxgkFCHRiZ9iq1A4qQfRvxtpjV2Txx8UY0MdALcqvFawtctZeK01fuqc7Fjg5g5fuGXNnTK7KwE5y58Q6JvZRqQjPjXjyqOTjd7UAD6SLEAo3T+6YvLiqWmIg8lXP/l+UuFvkGCs7KnmtRd7NotGJbd2zxf5FP6IxDu9+7ZAvPTDi0UN2kkCkFYNEpAVf6UWXpKw9lkksg9wYY1m8DPT0rlLQa5nar1lQrEuZZVMKMLOvdencylK1aInJX6wI6+sTqlj1swL7HpSAbr9BGDtobXBadSsadSIxid2JK1/AStHj1xP8q19bW3/D2qAumFzklmBVmhQVhOMgL7bjKJi7GIBfBnqJtUuPTqa/Vaa/Y1w3Jkpi7n64zjMH6+C6IG1w6ZWswSI4ZtUmTlXWrPKnKX2RN0CUM4vl6sJEolVW5O8QhC6XXzTi1TdaFh8mlsUD4THSdnv0PPBLMrvQ2JFSVEFu7bfqbtEZgxtlkKk/bowNRIURGAHSiJzFc4DL6vHQJbDn1qUYB7hYpRjGsSxK72vNW+riCQxRJJGOohYrC/CtG32kkAShpNdNVtWa5AB/MYSXGKHA+pgdmAG9tKyUQZ4BuQL0ijtBXj1YND6Yiu4uwG7yx4y5s3nhTg7qYgKtckoATyWK50QcOCP42B0tgsi1VpO0bWlZa5qqZA5LzkllqYI1V0BTBXpZpmRloC+sxR2avuT73zTg9nub7D9lL75EKwaJslWGSZr8yTKHSTqWg3LQWYSbuf2bBpTZ+VepRpfGYLTdqMpIkQJc5DJIGpEGmSXAV2KRMTOB0vFaBeYq2MprTvnV8VniWguiWNMbKZRje4XV7Z94//oNs+o/L82fviSI7Ni18iaqhashcuCtda/oZJFNPhWlxIxISy0zySFTay97LX1UsmL55Y9ZM4MqB5HlQJKUoUuBZQXchf52K8VU6e4PTpQ3M7hOSCJDfv+zDf7oi5Pg+6BqKOXQUHbmiqdMXpnoZk3OaWtckUldnWEtynrHJRalIf5FHCEkSFVuF7NfC6PZuiHk1ILksWc8YiFBKLRQCGFLact77FQC+xJIRAVEooKi8sVXLceoavcMbHldN1Tii8oFzOpNxsafF/Mr125jy3cMKW02GycQxdAfGU6eD5nddOWGC3ff9GXn0NHnJ1c6C2+Oog4wgaMsYE26QacsvbkX8ybLpFU8H2dxsSZzV2XKWHFVJkVyS6qsv02JvQvWzuVJBdzZdiZmTJJklYIZe0e4TsTzpyV/9pUGSAekZe+8c7/cTVReYcZWq7JrlD8pgaWie0s7YJSbEJx03mOi01khiSJRqRZPHN7zugGfvrvB3pMuyBAjJIF2GabyJPflkxSKSclByXV4xoSm0oml0p9QGZsbUkyIIsljTJrJTP1xU0hQXWLvPAiX1eNTrHhVQ+OFZHgZh4WcKx6lEITxiH64/OYzi0cmna8+olhcVBw5KFg/U2yYpEVqCZmxq/GFAF5+Y6LghmrQVQXzeNWgKIFFjGnurFWtAHgV3OVd1aobUJlcmrjp6GHHSYflZ363iu345VSeJCrms/c12Xug0N5SSOt95x00Y++3tPRWyn/LwfoaS+14A/JannjW+a4TSSKzFL6VKpfuDHjrK/oc+jOfMFEgHOLEYYBIp8Fmo44FEkOUB79VkBfvqwxy28htZBZwluSLMEWKX4CWFvharyVRSmDXY7JlDXAz9vUqkJsx9i+BXCnBVRcprro0YWo6xNk0W8cXdVbO+bguKXvbDp5EC0Qe/Ji/FsAzEEOWqq4Gl7nvLceAXX7MArg8Y5Yu4aK0j4wsivBzcMsSg+f3Ype1LPWeb3EiNY7MhubbSbWuG3H4jOK/f6rNSLopgzulrvmsi6icDi8z9dehoLGTRJ4mt7Sk11iSs9R9MRtEkWiHOHHxk5h/9I4+f3l3g0OnHVARaIdIWBZXSXbBFXq8eIPjVUR2hVGZPy8t2GWKASmNzW4aSy5Z4Jkxt0mPh5b23+iKUzZGbjkRsuq1MlGuReHj8kZrSBKLTyFgcUVxdt4nSGo47YZAh5K5KZv2zvQMsT0AWov0av16m0OVZEn25vMPULC5TJcoKasfrlzPUWbtosnBVKSJTLtNCouwKlOcir+tc1ArNeaaqGw8WYzjhHRDzYdua3PqvA/KSa1BmQ8YKvve+desZqXsc1cymGufr2rtszFjLkqWwpf5PW+GkIokdtg8F/DDb+vxix/z6EQ2IDBGEmhlbcNE5CAvB5uIAuSZD25yDW1Hd5QvQJW6KxJywMssABVFU3oO9vQca1GQ22or9UWCzhdg8upsR9uME8eaJLGNGWEYs9JLcHyN43uaRl0zO6UxaIYjwSAo7YpWqqSyf6ya9q1o78rj6oh5/C5fCNyiBO4S0Iuu9bIsKTZ9tQDXFYBb8GuUU2LtbJeElLVVpr39iD++3eeDn2gTaNfKE6FyeZI3Fa9VYMV4MFc5TS/I4vkJo5TRzAGXDb4xaK1Xp/C13Qq85sT86Dv7PH/M4yOftVocFImQjHTqpiTZ+zI5sAvxVBVN2aBUAxhpcg1ujGVmZTLSS+3EnL1TVs3OpUmtSmEvACFsqVe5LHo8L1IG9TiLV9acnMHtVIA4sVufj0LNcBQxGGlaocHZPBcQNAa0RZf+qMGJcz7DsJi3vDrjlB0WsQrQ4z//osAuM3rpsapvS7NR1gR32XXQFZAXQE9SYNsxZHmdiSrpb2VnDS4tw19+pcFykIHbAtyVWO9bjMuTciCcLsdUAT+O7/LyOg7ySlVftpeoLj3P68StFlfaTlmNE4cJL+Edrx/w6fsaLPYUyAi0IsJhJERepzJ+MRYoMqX3aJk8Z3Bpty/JdLnJJEp6UWopcq1vjFVBUtg6FiFM6lFnck4UvrUo4aiyk14VSy/G5MXXhv5Ic2pBM79iWLfVoB2DM4p7DOMunXCBUZQwCBxGgSJNbBZXfek6Wh1Qlq/EanQ8DvTVWb+CpctfF+5JqU1KljR3Nj5YjQWYGUPLAtyqlLVUKimxdom9GzG3f7XGw8/U0SXtraQsFVZV601eEDClewVDq24WWIUNV0iU8WaIQo8LEiNRJV88TlwcHfPyK0K+7WUD/vBzHqgQhMQIQaAdlEiDTlKpIqqgzt9L/mohS1X6HWlItXfB5rkkkWmwKUoSJV0s9Nj5Ftggtag0LOVGMt9+HFumeGF8bXSUQHiKei3BrYf4yQCvPsLxA5zPP+xz+myd+x5rM9fy2DSRMNGwezKWve+1lo5KTFV6M1JUv18BdM7cpc6TPCtYAnnO3qbE4GuweCmwLIM7205QqUJ7K5WkEiUFuYxR0g5+P3Rc8rHbW5zteXa/a2kHvSuB7ZqpAHuNJEY5iHoB9l7FQBmYxn3gUjNyeUaf0Tqf9pToFOSJREm7/cn6ZsIPfFuf+57xOXROgogAhUYyEjLfRCpjTNYgrxz0xpJJ9roxZOLbFmJlVZBZMJqC3AI6LaU1hRdvZFGbXgSbpXp1kabyhcnBXFUPaV1NeqxyFy7Ncjdqgq0bFK+/KaZe67Nx04h6M8SJRj7hoMZopcEIl6FrqHl21wCnFCGJtYA7ztyl74//7LjjULbXisbVF9beWSe3zEcH29ccqdPXTAXc1YBSlwBvLUFHWmnieRFBovmdP29z7+P1tI3JsdpbyrRrh2L+SKmLfFWAOcbklSV2DOurM5gZ4AstXh7pls8wMTKd951pcUWSaGLpoGKHV18X8iPv7vJzv+MRxNJmoLQkTl0VqUsX44swOaVXDVZ3kzF1xu6SIm4Q9n1nHrgR49JFVM//GiSYk3SGlUrsVz7OovJvlbSTEho1yWStRdMXtLw2vtvA2TQtUDFcskVQr9n52FJUM2DjRexVh6QEbtZ+XVCdtloGdqFjTR585Ju8Vli8LE0yqaIr7L0a3Dp9vex36yK4lDGuF3PXoy6fvrdBELpQd6z2lipn73z2oXiBuYMl+6tsc9n7CzSLVDKDWfaOMXDbTpo8oEo9cZUyuNQSVQJ6HDvUGzHvePWQO+8d8qVHlbUNhe1aiITDkJKjYsa7fQqQZ66JSC8+ZKHLTarLDSmwsayt0joVkcVRpPGqGOvywXrrVWLMLriMOEv/xhQyJe8SygyQ9IBrDb2B5PhZH5BsFXVabR/H9+w2IVNtF89z0noOO2Q+Lx6Sa2hnWFXMvhrgZtUFMs7Y1elVJr0iTSnRoyvaexzsBbhTUDuFJVhIE53737n2lnZK7ErfcPt9DfafqVlpImxJrMgTO5QmSK2u+c4fSxqyGry9+M3qb2GX/rGkWl4IVaoRN1mlYamMVgqFTDRSOkSBw+4NEd/2yj4P7/XohNIeaKweD1FWqjCuxavyxDKZfZ7t2pAnf2TJ6RGZRw4Ik+ptGzvIlNGzgDJvTE4/txBVVl8lecs4S1eJ3OLUxUWQCEEUW1IIIrviTQ8lji9xHGW3zZtsOyjloFPdlPfdrZGxW2t5qbK2qbxWeKClIvxSEqfC5MKkNd9mTfdEiiKwlNJmKmUG7jLQVbEzQfkxA7frxGgS/uBzdT74qRZGONb3Tp0Ty95WnlQswbHiqlXMnYG8vOK/AHuX58lUvfCyTCm3smWWoUxtQ5u611KnmtxuESiV5kffPuDgaZcPftohitMaAy3RCEZC2t7J/K+XaLLipqQXWPqqygAN1lXJHMUSm1tAm9QyTJNAqSY3xuS1/piC3CBtVs6ZG4QxBbMnVbJE2IGvlroLEhBps04UGYLQWofOhVtCuu2IuKdZ6NgrILtqsqq9cYCvCeosUBhvUcoAT7mcsipNykXyhfZOwSyrOlyOs7ZMfe5sr/psRne2SWwG7lyaxCgZ4XoRB89KPn13k37fhboq2LvsnJTb0kQ1wbP2cSB/4esleTIGrzQ95GAvTVeV2ShhK1kqXT/ZZFpptbiUdqZhq5nw9tcMuONrdQ6eSTNkWDZPtGCEHdFpW83WZnJrEwpU6c1lvncebIoxNhdF9tJIO6lWl0AvUw89190ZK5sxKVOWKaXja7JjXyx8aUOGxV8UaU6eC/EnA+ZGIY5fixmOAiI9IIh8oFTMXioqWitBw9gfX20JmrF/YyrfKwM+A7FIZUlZexeyJNs+z7wguPOtrnOnRI9JE1tgFUSaOx9q8pUn6uCrNLB0VrF39j6UENUVCCrjLvLltaTB/0a3ErorpbMlJ8WMgzpl8UyPJ0IiE4UUiihQvP6akNe/fMiJz7sE2lYbZls8xsJhZEBqUXoD5WUnfS5LLJmBXlqJYDC5Bs/ZPD2XRtqAlpzMUjelpMUrmEh9xXIgWVkpTdG8XLYg83lGqQTyXYFTSxA1kHWJs+fMpSv79u2/4+knjv69rXMx7aabl6mWq/qKk7h6eR5n8tUXg6nKFFl9PbMMVTp3OvebVZnFUwdFmALkmcaWme+tx4BdrTOR0nbqSC/mnkc9fumjEyTGAcdNKwYdhJS4oiiqUmKcwasya1VcMg70F0H6eD1zWaYUA05TbxyKUlEt0KIKcq0lWigSrZHaIY7t/kI//d4u+0863POIRHsFixtt9Xj+nilLljGQC9IA0+TvV8qSZEk1u5UrYHSavpegx2RL2SI0kA4KzVyTImiHcvxWPM/clvzrtLoxK7luNuDbd9e4/ob6HZu2rl9R2zdv6AfdhUOTTfUjnmuo+TIdtUAJ6KbC6pWS1lXWXvqY1TfnP2vydrhcdmSWn6o6JRbMpRR8qdYkB7Uya4JbllLx5eROudfy5JLglz42wX1PNO2mPNLLAe5IQV2SbihVLY9d+y7yz5uPjyvdZVrznk3fyhqlM3tLlh7t1tzlyklTPdaV2MWSQUXy5U5UOgTTGGZnYnzH8PDTHivD8aDBanJEFnRSRA9rBsmi+pWpXgrjl0iRaRSV9aH8WhGLiEqMm3mG1VhlbJJx5XsZ04OQTU6f6f/A008d3e9sXucihJ3WqWOdTrMy1XLHEivlLF66iqDM2ONRcanqrszcssyGBbhze7A84LEkSWRqDcqyBk+3tZNZdWD+mGYqZVEOm3gJH7ttgs98tYmpZbrbypOcvSvau6q/q+5Jud6mfIBW46L8khn7pikxYzXpU6pPSRt8M7sw0+LFjmQlZyWVKolwkMOEd9w65LnDLr/8YYfQj0snU6CNS5ClGstBQFJK8pSSQQZb2wIU+lukSkGavCY7L8rSKXvLwjlZXYVp+w8Eqw2M3JI22b8R+UWls9+hbTIyjjVBCLFJ8D0bkDsXbwuRUjAaJax0EuJEpkM1RXHdlYKnHNiU/jhryJZ83nc5Y1mq4Sg7KGNglqLK5jmw8+e6KlOyOhOZ2O4XVXJOZILMa04SvvSIz0c/32SUpFPwZXa32jvbza2SRS0BfS3bc5VcK0uVNdivIlPIQF3o3EoXTQpoI0u7HcjS/BRZqlMRBpmkUkVoRCpXfFfz3rf0eeApjy89Ye3CTKqAIMEhNDbozH1xWQK5GNPgwl6UKvtIqSYnlS6IqquSmTQmPYZG2mBztesmihoVYZ0UcolSMjPKxzZ7LZV1UaxZ6iqEsqzgTLcDpISRq9GxYRimbF5eB0qAzh7yoTJr6XOqb7yclq9OIy3YW64B8vJOAgVTl9i8nKHM2rmyTUul3Z1XyjQl70QMAviF35vg8Ckf41QDSyEEbhZcjqfm18oDjIM5PzxjUWYF5VWQV1rBxj1wslaudIMvSlNgK1lOgRbSdmBJXWy7J5Xd1Vg7yFBz4eaIn/2HHR74Vz69UfoBdCZMJLFUjHS2EpVArk0l0CRN2ZvS93MrX2RJoJTRU1fFlI6dbVjOglFR0t0ppko6vCAJUzmMFXfKCnG0McQJDANNqJP04jU4WmzECIVQXXxvnljbwENX19HVp2cM1FWwFzUl1c2J+LqsPZ6el0LnsiQDuMzZu+SSZD63LJjbScHtOBFxAr/1yRZP7KtZzztNxyPtDsrj7J0Hl5jV9d6UL2LGmKgYurmatc0arxW4KbO5BblZLVXWaohIt/SQWqKFJhESoSVSpC1uwkFqzbWXRLzvOzv81z+fJEwyFhe51oi1YkSxehefwYLc6CI9r9J5+kbYTiGVBZiQ7wdsUhmKrPZ+Zo0JuS+OKLKVJTlSgLmq8cSqY2oXEFsya9i4sc3MdJsoSnBuuPlWPK/F+dNP8thDx4iTGkKke6C/wHJaJqbs0S5FZb97LAASBdjzXblk8bwK8LI1WN2fsWBqXQJ3UUwlZWERyqxasJbw5YdqfOSTLTpDF7xMe7tWe5fYe9UGq2UrswLm1el5RCnBU6jy6nE0lYdVwVceVKW0WGjwVJqYkjTJEj/Sto8lOt0YyphUsiik1LZeJVa0a5ofeueAx571ufNBBY04Zeb0LgWxloxIQTd+UZa7gUo6PHteYXKZ6e8MyFUmz9YJmWl0RM7wZYbOwb4G4Y7fXCUYhiHXvewabrnxajrdPs7J83UazRrPHmrwyHM+WzcK6l6W4CkFF1lHz9iKK0rLR1FvkgG92JSo7LZYoJd251olSTLmNhVwF13ldjvpAtylZE7G5rk0idl31OG/f7zFwQXX2kOikCZrs/cLpONfUG9XkzplObfqlp3Z8VqUciVhlj00xXHXxlR88co9mzqVFWYJgxASLW1JrSUbBxkZLpqO+Ufv6nH0rMOBUwLjlAAuwOASG8nQFphUL8M8GUSq400+VdhIGyhmI8htKr0AvEx/tpgbXiweGfmZDNAl6ZK9NsYPuYzLVlIlwXUl1+32uW5XjQs3efQnIxxjPDAeWvskiYsS2fSnjEaKjYrKDF4B+apAcw1ZUrK2Ktq74pRkzK7zykEpSu6J1OkIhSq4ZSUdHyNljJQRnh9xtiP4hQ+3+fRdDYzrVHS31d4U7F3yvIsNVqtu0njnfLnwjPJrZZCPgd2MPzGrn+dau/Qjtr6j1NaWp/ALbzxJZ5fITIuLUtCZaFypecetQzqB5Kd+TXJuRYCfIk1j/WztEmEtywrI0+eGdHNgLWxJbYYNkZXVmpzFM7wbnWnwFOipbMlkfoU4dCZP1ihUS6Vbtr9QdrPb1BikUCjhIIWLwsFp1Bwa9frZ2Un1xSt2Tb7RU8v4Xnr15FtMp+1G2bKZn7dx/b16A6Jx1hYl96S8S66qyBNd0uAlS7C0b3oF3GMBppJ2/HGI5rP3N/nyI42i1iR1TCzQJY6wnnfRrbPWMHvW7rvMJEp+oQvG5GKZ9FJKW430CoOPMXfGioUOt4CWmbOSJX1SySJ1urFrxuJCkQgQQqOFJo4NvqN5w8uGvPUWnz+6wyGM06s8kytSYIxDqAWUQG7Scox8cGj2PWk3tM1KNWwLfVWylKtQrZ43VTbP2LvM7sZUjnG+nUl6T3RBvDI2BGFEsznFSk98UUr/bBgPUf/113+dn/iha1amJ+KV6Xbve6Q+Sc23Y4dlVkVmSmcRihHBlCy/PPFTLZJSZZ2dSxHGdLahEjyu4Z6UwS1lYQ0WAWZRAus4EYnU3HZvnf/vgxMcOeOnTQyOTeqodBREntSxg3yc1EHJymMz0BefpdjKMB8dJ0rzEkV56m0x8Kg80zwr0BfpvxH5cSN/XY7fy/GLGFtVyiskJScrjw/Gp25Zxp1uJ1y6M+LEecWB4w7aVP5RjkaNyC/eXG6nWCjHG5WHfPkqXl8rvC4k2tqB96qfK61siYY4NoQxjCIYhoL5lZh1m3YgvfY/u/+xAw+97S2vtHv0dIaLIHykPM+muUXiZIJB4DEYuhjj2N0GTPmNp+9blpM6paCyVPpaPjGiEkxWQV/dQbfkeQsrS9YCtyz53LnmljGum3BkQfKRTzXZf8iHZlmayNwWdEhT8llGMWdtswpA4xf1qpwAL75JwNe7ZbUnNjKrWoZlaVLuvJdjXT+JEAiTBpnpa0LKNO0vU9li5UocaC65MOa9b+/xyDMeR+dL4JYi33XQSGWZHFL5gvX5dLqGp+yt0n+TVxvmwaZI2bpg+FTFZJu/Fd52Fpib0rFOn4+D3KTTH4ahoBcKuqFkoR+xOxngeisEcWTfMsB8cD1nRjcxEluZmlxidmqe9dMrNOtRulSIEotnLFEudS1be9W6jTxILA3oqQSMosTceW1J8f0XBreugFvKBClsOn6pJ/iNP2pz9xPpyONUb+dJHSGRgrxTvpjIWiot+DoBZiZZMsYq/NqvUyo7TlLlpA6ldDRVkFcDzurWI1kpbXmfH51OwjKl51kPp856OQeSW68N+Cff12WqHYMu3U1212hjCDWMNIRaEGlBZASxhjjdUyjREOdbbafjHEwxoF6bdMdsXZ1EpU35bvLXMhCn13tF5WXXoQa6geBEB051RwzjIa+4YY5/8M7L+J63XQxkOx27FzBwN9+5VX/sl377s9M/9dXHFT/45pgtU4ZhYOuJtS4vT1XNvaoeImX3ivUn1nhtTHePa25ZDi5lkdSReflrlbmVihlJw+98qsWHP9mil6R7B+auSZHUcUS67YcsAXsssMw7X7IAM1uqRZXNc6YpHZzSAv31QT6Wrl8FeEOl00eWPHFtBCLVszr14LWWSGnyqkMp7bwQkelyrUiERVzLjfiRd/Y4tyj5zT+aYJghqOyiSAeNSlP6FEmfLIMpbYBmsufCMnvupKQeerYDciUAzTa3MgWOQGS/xv6MqZJJbjN6gnYr4dady7z3Ted47GCL5w6c/qVG64Y7t7cOAmnm9aO/+1/Yvm052nvMXPzlx9rf/szzTQ4em0AnLequ1WciW0JE2RteDe48UZN66YXWrupuuQazV2tLxr9OmVuUrUFt0/CpBsfVPHPQ4z99dILj5/00Fe+S15soC3BHQk3adjQvLabKtLdMn4/PHy/mI4qiLjzV3auG9Jf0tm2MldXvjevr8opRbjIRpeNd0eIvUBohyiWmVZlVJqWKVjZQcxPWTWnu2+Nybl4VG4pVI2hA2gnMopATufdfSTWWlq/yr1jjsl/L3har/l8QTLbpr+cIWg3FjZdIvvu1mt1bJZtmazS86I+e3XPb/Vdf/YMlBgduveW9NOp1Br17EN1H2LauhkkcOgNBq27A03ZiaemtrQXuShq+xN6rWVsXpbEvwt6rZIlI5YjMHJS0DNbVPH3I5X2/NMUzB3yMq3Kf22Yr00biVJp445ZgBgpKjEwVDOX0cRaPvFAdyvj5fWH2rp7l8oTVcVYvZzIzDZO1vGUltrJSgGUQaSpfCOuuCKFS8KuU1TWEmit3Rnzgp1b4kf8k7Dx0L2XqslUowaAIsh3CcyZPPXAhcn1uMkRqU0GpSTOX2YeWkKsDKYsNxyUFk6vSv88Ced8VNGoSgcuhkz6dnsfuS6/hPS9/JXE0An43//0AXHLBNJfsmGHX1iY7NjhsnPNo1uWqA5xfZSWJshrcYwHlWsy9KomT1ZboakInswFFAe7CHoyRIsJxE3pG8NufbvLkcz6JKluBRZ8lQqRJnaJLvlzrPa65q1JlTJKIMmmJgvDGSerFIs8xp8CUfteq2pRSOr+YyVcaEFSuFS9pcWNkvrlsVqeST6tNm5W1dhCJ5NpLA/6ft/dpydhGcCYGnRR6XMdgEoyBUENgrCaPNcRGkJhUk6fxQZJq8lyLVzR4eeZLocnLbXrltr0sXikOsT1OvaHh1HnJoRM1zq/MErOZQG/Kj2vO4LWaR63mH9y6qX3o8ounLzI6xHPTPtz0MshPdBkQa4C77I5UU/IZU+u8uaHqnOii9iStNZEZuPOAUhfgljGulzBI4COfbvLxLzcJMp87B3bhnqg8sExtvwp7j3vfprpjmkjpYJytxTjYKcm5r6/Cy953USpbzB2xtU7lbazT+YFjtSna2C75jMHLLE6W3TTWZUm0TO1DVWjzROMJw7teN2DvMYePfKpFP0rZoKDVbJtNNIpQF/raZExOyuAybZBIv4bU+86sZ01aiGUqCaGytLeYKwYQZbkoBWnloKE/jBkFMGg16AeNQ8rxD5ogzo9vPqPtv/zqr/IPvve1h+Zm/HV1Z+E1cbiCoyTKIR8kX2jl0qwS+cLgzlyUF/K5C909Xm9iSmAeB3caUEq73Ug/gt/7bJP/9OFJzi15Nqgs626ZdckLvFR7u6JoZHBKn8cpaeOsOaMyjzxdAYrXV+9MUd3ycI3NAcoavHxRjWlykWvz6uz0ipOT1/wUNlz5ost98fFHQbHzQ3mRMTDZTrj+8ojuQPLsIWWTQJUVqViZDDJzCwtNPu5EVP7pWrqttOSVSaIsDRFjZFKQR6INiyshXmOOTVu2/9az+4586OaXX5f/Hln+U60mTLbdzzVqwZM1304PdVR1Lnc+3qEcDL0AuEUluZOCt/JzGjnmlqhxt0SMM3emv2Okr/nMPXXe/+E2Z5cdi9o8DV9OyVvXpGDvUmxQckjWHI2RPi/QQ/VEls5NdcvAv/mtvNFA9ltXZfEz+6zkgdtRElULMZ+tUppKm9+1qsiWzDrURhGFDhunEv7ND3X4e68ZQJCkMiW9Z5KlJFeicbmiRW4JZjmUzCbUWfO0HrcJRfV5Jlc01dKEdJqs1oZEa+JYI5RLoNWT0ql9LjFO5Ziq8pP/8ht/yIYtFx4/cZYb+wNzXbbtteMUmzmNM3iRoKEC7vGMpFgD3GXXJJcnakyqqMQme/I6kzRbWUs4eNrlFz8ywRN7a+CXGLssTaRCSltu4UlTYu4ye487JtWKwoy1beNxlb3L271UNq4dY/NszFi2TWIlOK0wNpVez/EtwmX+74tAvhIXjD3PEyxQYmxTklGmGlukV9LEREK9ZnjgaZelZVkgJb/YRf6Ye/fp92SJjkWZHMboeSyEWZPJV2dHyyxua+c2zvrsuqB++/LCsd/6sR/+wQrAq3AHNm68CCEk3cUDKNHNJYaTP+q8X1KIjH0pgD3G3FlV4Gq/u8reUujcBrRJm7HnsgRuL+HQKZd/998nueuxmtUdMnNNyuwti2IqkSZ1pGF8DMRamcvVCR5R1d/F+V27LHbsVi7IWrv00zoLZQavBpgpK2cjFjJ9no5lyIbUG502/5am1ArSLKeWdqSalgWojbSZQ23XC+scGcTI8LrrA37+fR3+7QcmOHzGA5dc3S133gAAL4VJREFUg1cfHTSSqOSe2BoaUW2YkKkrlHrnuU+U/a7sOGTOS/r7M3+9PMkqr71PDK5bY+vmbWitVx3VVQD/1je9GqFU+NTDi5w8voyUomBvVSqCyt2SAtyru3P0qkCyHGSuDe7y85INmIHbTTh63uXf//YEH7+zQSgcO0+wAm6V02AuTUpdOmuVw463pVUAWQ4kM7CPg7r0vf8ZmZLhu7xXzprbnGQShSIBJNL5JsKkHeppr6LMHBaKTcPsz0trG5KJIQVprUoC+E7Mu79lQKLh3/7WJMfmhUVMdoGuAfI4fz0D99ogz35GYScGrAJ5HqCSjp/I3BQLcpHY9xzHGqc+y/U33hpGcfL1AT4zOw1y4l+1Ji+8TJw6e6ukj+sYPCexzb6lREK5LHYVc8sXYO60lnsVuOU4cxd6O28edhKOnVf89H+b4JNfahJKJ40Gq83DeZeOpLSvTtqlz4uz9ws5JJUlfNw1GVuBEX/DupRKFWH60hr1F+TAXl0vXt5n07J4qU4lLenLXBShMxgZbCdmUSBgAW8f49jgYPjuNw5wFPzMb05ybN6z/1gW770A7IuD3KwF8tQ7z5hc5F64BbnQhXsi0oynkRbkUhhmpltccdmFX91xwZZ/Nb/YXXVo5fgLQk3y0AN3dRMa+w1u4iiN78b4XoLnJuleN7rqjqTgVn8t5n4BWSLKDF4Ft0xdlNNLin/zgQk++aUGYQ7sMmtnzF1IEzetCszmC8o1WLxsf1ZciPx7Y1H8+AVQ4p2/6S3ztksJxlJHT7mSs/i6XMNSniVetLqJwmfWgvK+PzawFKXgVBYeeXlibRp0JonCSQTv+pYh/9/7OmycjiApBZ6rfHKNNhAbCDSEpuSTa/t6kgahReBo33eS3vOKQVMOVu02gWFkqweDyPZgNmpuMjvV3P/FO7/cXTc78fUZPLslUe9962a8G0WcXNushziOva5sgiArvhpPC6f13WsleTJZIkrglmPMvcopSeWJk5C48KHbmnz8C821wS1LICetNRFUtrYeb2IYT/BIVltxFeYugdoCuhzdwbgQ/3q6fJVDUnotZ+gyU1d6NMcTQbZQyUoU7I7EKchFzt7CJkt0ytoiY3aZyhuT+umAzmfJpkBJePebBuw/4vBLH2mTO81lPZ5VQL0IkwttSFImF7J0BNLnIv1dMvuVpig+ywq4QKCi1FkR9aeXlnvvm5lur3mM1wT4Tbe8jgNP/VGybmqL0d3naNUHGCPp9H0GI4//v70vj5Osqu/9nnPuUntX79Pb9EzPTA+zMAoM+yYREBQTFUKIwbxnEg3R+NH4NE9iYlwSUZOP6NO4RvMiz7ygYAhoAuLCKggmKDszDLMw+/T03tVVdznn/XGWe+6t6p4ZGBgg73w+1XXr1q2lb33P735/399yQjBoPp/OUxawy9GMM0kyGYIZyy1TYjXI7TC8zPGGI3D7fXlcf3sBDWqDu9VNhnKT7lTpSp1UICelZLTu2AWdBmv2WdXeLXBtnjtc023vMlY7vS+bXYgW++zFo3QQhQsJdhmIURwcysKTZqqSFjGY+V+4kED14gi/dUENv3jSwQ/vK0CQuAXIVZIVZeBgEuRCgz/NyYmiK/p0MZGe2JrBEEhghxyYaVBMzcsnO8oE5w0Mi217avEVl7/p8AEOAEMrzgSP567f/cydo5v31YoOCHrKHIy5aITEVEYbPm7TElNvmUQlU+C2JUGlc6fBrZxKJwZ1gO/fm8effqGKJ7Z6Sg5sFamU9IRSWX6m19QxRQtkkZsFzEU5uOVoAmiiJ2kefhggt7CeHppnE4PmdM0mTOTSzjTM1nASkzueWHBt0aEcUGKoCpTVpkZ9l/6Gcj7VRFg/EuKz75vCBynwb/cWEvkwBfJkm4MhUk5iipMbZ4OYM2D6ldvpK2qDEiCOCWoixuCSGbgI0du7EldceiFyvocPvbf1uV0Q4H5xmfjuLdf/r8npM9/199+9p9hd4bj0DIFVgx4itSwdo8odSJWnZdNgF7DcdCFwJ62OqQvcfHcOf/Z3bXhim6eaZFrUhKYtdyIJilSONyXJwlH2UilpfTktAS5KU2CpJSkTbrdHyHiiC4E7Y7VTht0CrT5AW+lUxX2GsugkK0FgrDjnVMmCPOHfXFgZfrKPiM4wlGqhADgzX4aAAQ2BNcMRPv3H06AE+P7dheSfWQzkZiYTNZGISczSkqH0Q9TarNY511VhJEewbpTjLWeHqBbrqPaNTPV0Fr/oOPmWwuuiAAeA/iUb4fvTKJCnwGvz2LrLRSXPUSpIp5OqWW1nFWqKwizJLwnb27kmi1tu4gA33yPB/dgzvmz1kOLddtRSSoJuhnezjGOZLv3KOJcZ2ZBkAaslQIuuWFBGisrYJ3EBIt7qF9FAti/TNujtukx7yUEOmBWEtYW2wc+5pGC2oiIBTNXxABdcPuZKhrMsedMIIqxfHuCT756GAPCDezTISQJyPWdaWHJZNS8MRaFCypLEYjB6W6ck+A7QkQNWdefhCg/tZQdrR9dPeWT3/3XzowtimGKRsWZVT6OrgqsuPH1wbs2wg46yLn5IKApSkqEduUyXoFEWW9U5C1tuymLAAf7tvhyu/mIbHttqg7uV3p3OEsy2f9BAb0VN9FXzUNabWqBtcjixAKgXGWKRfalAjwF9BujQBt1qHWFvm9C3tfyJ1YI5VfmTasessg2FHcLXGYcy6zDmDDx2EAcMxy8P8Ok/nsbFZ9SkmpKqBoqTbaW4pNQVTqSiotQVk3Vo0g2SK5K04jK9/+CUwCNbXByYWzU3Oetdxfy+xmLnelEL3pif5muOW/5gR9WZ/ultu4qlfIicr3OzLb7dREcy1CSVW8IXtNwa3Lfen8MHP9+GJ7b6klDTxVQTGSrXDes1uB3Ti8VKZsoU7KYCO8hSFauxjwZxytm09qdAnfLUDo12JDSlCfAqcCfpsbR6MJl1zUueaMuX5eEE1vMqsimoDg6pwmKquLmtk1NZy6npSswz0zMA1i4L8TfvnYYAwe3352FCLRmaYlvyUO03Lq/i5ERX/SBbykYQcblqw8GpCFxQLF1x5nS1c+mDBw7ONIcvrbGoBV+ypAfVtraxSiG47LSTR8POyhwKuUjq4SwBsrHeio4QE6JX+dy2zr2Q5aYxBAN+8gsf77+2DU9sz4LbWRTcHk23XUu0bgVqNIObLGS5gRTvTkuDCfht+LY6Ljl+AWAvsNMUMSCTSisS4JuaTOtxSgu39jUnYNmdaSUfFy0seWLBZYqtsBOztFYeUKxdGuLa903hNRvnwYw+bllyYVtyqZOHQiZo6dpOky9ugVonV4Wx1L9rDWDPeIiB5evCA5PBZYViZazS1rWo8VgU4IS4aMxtQV//wK7BpSueqVSKyHsN5H1ZuS4dxgTkxFJJUsUK2nqbkjPbckfScrvAjx708Z6/rWLTdl/VjWWKFlLUxAJ3insrcFudtLJtFjR4aSawkwB6ASkwQ0Wa+XgG3KR5XxOeU3SkBVWxnjcTwHps56mkMw2J4d9ZwKdpilzSRBdCJOty2ksYappCIQRDrKmKuo8DitGlIb74gSm89pR5MB0I4nYAyKYtkq4EXNKVUMgiZp1taAeBIhXgmQ8IZuscxWIZa9esfmZ4+bJdDz22Hfm899wBDgCUUmx+4oHts3N4R/eSlehun0J7uQ7PjVLgbsr7TlXmZNoZm5zuCI4XAS7w4wdzeN9nq9i0Q5Wb2ZmBNrhVGJ6oZj0mBTbDu1vll9i8uymTL0tBbCpCEtBnE1COgIkc8chybjtyiRRoLScUWT6etuI29xYZS57cWkU3kyogydGZ4eOcO+ANitHBEJ97/xTOO7kGGkXS9KZAHqZSbbkAAmXJIyHTbCOrql5b8XpEMFaj2H6Q41UbjoNHonfcecfPtjPGDnkOnUMd4BVGEIczoE5pz/T+ubs3P46zeTSDol9BFDEIoa1gYp2Tm3YotfatK3FUbokfY8dBivt+lcdHv1bGpu0+hGe1eEhZ7KTsTIPbV+B2LOudALy5UU6aoqTXD7I7VwFocjRb7bMlwZSz2QT2BdBvcWwY650oIDZdsVdBS610YKklULycq5yOJBdFKyVCtUojIBzglIKqxvkwYSCV3SSIaq8MrSAmZTb297dNZBhh9VCIz//JFD76NYGf/yqHHQc9wBMLqisxZ2joc0hlTanDoVZGluc54ARuvob+fhfrj19x9yUXn7NnaqaGaqV4SIAfegoA+PgnrsGFbzhvfD6qzPz7/d7lD/5qPwa6CgChyZJ9DofjZFYVzvQtsWspnVyMTbsYPvm1Nnz++hJ27PeU5T4UuIkBtwnmUHsty0Q3TVYnTnK6aYt7knq8UMWNdjqtChvdpYokFT1J3rfer6t67MetUwL0CnV2im4rhSed8dji/RRYDN0ySpd9VUqCOUYSNVcnYiZ0cpXSE4wkU9biYGYvB7o7Ypx7UgNL+mI8+bSD8Qkmw5TmwHQkJ4mykuQqTAGPCeQcoFwguPiUWXzgv6/H8uHlH9i/f/M9Q4OrDwe6h7bgeni5dfCKlQdHhnETa4Rv2rprG5b3h/DdEHpJbYfqtXFiRU2iRBY0+dwxnFyEp3c7+PhX23Dj7QXUBVNSYAsZkCZaN1F59za4m/XuFg6mBgYy2YNI9i/kXNr0JO2ELkCwnytVIUhZdJtjZ/fbNZkg6nKuDiBKYZFdrRILnwR8YBQTrnGuDaxSWLgKo3PICRxzWeMOGidWXQ+rgNJ8vxDobY9x5cU1+K7Ax77Uhi27PcBHIvXAvncQg5mlDR0CuMo58V2Bvo4YG1aegJHlp9xU7VnzIDCDwx2H5OB6nLyhG23u2Pa3XLTxvWtWtN9SLOZAaATH4XAdubCq44RwWKiW7AtNr0BGQ4tzx9iy28VHv9KGG39cQJ2wzDJ+diV8GtzacrsLgJu1SqSCRU2oDfRWykliDVuqfZlJYB/T5GiS1vvtYYDcQiZMOZgW19Yyof5kw7+5fSya1RSe0cWzmrgJClH1WPNvKwuRM0tpYapTFkWsHE9u3cK6A58Dl/3aPP7yqimMDATSWxQZx5OH6hYhijlqMTAXE9RjijAmiGIBz8thplG9pdpzxnv37qlvJ2Tw6AMcAPoGBrBn5y92nHDC8Y+uWFZFKV9DIddAzmvAcwN4bgDXCeGyUK1qlgCesRhOjmPbAQd/+eUKbri9iDrUOjnEbZYBrWp4G9w+FUnbB1Mdn6Yl6cu57Uwm1luD0Obe2cBNc6g+bbXT++yVHVqN9DNCNB+RDuI0ZxjaADZpskjyU9JKiQqYwF72JAF7s4RoOZ8a5BroC4LcDgIlreFkqq2DKGTICeDyC+bx0aumMNwTqBrPLLgbQNwAeIAojjATCUyEBFMBxcEZjly5F2vXv/rRH9/5wI6+/t4jgezhUxQ9urp7kCsu+zSLHhkh9ad+yyVjKhdcKSUkBqGx4nzS8SSUIxQCP3/Yx5e/V8J3f1RAQJjVjJ5lLHYSoaQmM3ARWkJtWqKAjLSV1jp4E/Az1ruJqtj0RAPbcjCbhO4Mjz3kEDBr28CmI7ZeSCzLrN/WDsdrmiJkjaV9rKYvlCQTw9AhIUxzH01ZTGDGCunLCA2HbHusHU+edjrV/yzM62KAAlEEuE6Ey19bA7jAl24s4aGncmjEQpXqqPV0SCTzXogDzhlqsYOgDpT72zEwvOz6M0/d8OnHNu86Urg+N8Y4sfO7qA4sKfzt3/3zbcPtm8+6+JQ55DyAkBgyKUICTAhJ7mqc4P98v4CPfLWCyVkHIZhpo9YMbJ1nkta5nRbgNlU6VCdRpXk3SzmP6ULi5m0JcHtl55TTqZ3K1H3yvHYuU23cTNsH3UIZ1v6Ms0stR9guerb0/NTyKqb7rt4Gkj7ryfPpBDigqcqqVR+bTK+apLcNTwJ75rVWzpFSzgjJ5PUTWY0VEYGpOYY//0oF3/5+EXNc/s462iovrQycMOQ8jtefXse5G/vvabhXvY6KnbUP/MHFR4zVI7bgANA++Jv49vd/WVsy/PvBv9z6Fbx6xcOYmSfYtteXZUUxMNgTYsNoBC6Af7ylgD//ahmTM64qMbNTXm2HkklrQZPckpbgtjpSLQTuJJGqWUFo3iaJeqFnvqVQNFlw2zRYdCcd7bSsyBGYkSZaYllce6lBIy2SxBgTKArSZMUzi1ohoSrclgCp5TOqZGzCqSxMEDrWzkGpzE6UVpxAd+7Rugw1b6KsOQOiiICxCF3lGNf80TQYFfjWvxYQM+D40QhDPRF4BBBK8MxeDxOzDt7561543mvf8Bihu2pe/sjB/ZwBDgDnnrQSQvAHXj141umT49vzv39NDo9uLcu6u0aA0eEavnD1FLbtZPjIV8qYnHWVeczkc2dC74QQOFbBQsK3mx3KdFcqOx02bbltR5MuAHIbsM00xVJUbJAnEE5tiUMAWqsf2X1G7m5STdKA1sckaoqq9rHAnmQf2sAmZvU8IuTShNRSVppBTtXVWL6hoELJetzkjMh+hFwuUSJ3yM+lsTlRpk9hDAhE6CjF+KurZhDFwLadDF+4egqrhzjCeQegBI9tJbjq2mE8tOP8p3bfPPXut1/W/Vxh+twBPthXghBzH+5sv0h84RtP/cnmHbtzubYi4lggwAw6qrOII4Fb7/cwNcMScNttHVJN6WXPboemrfah1ZIFkqho+rFNjbPWG1nAW+A2QBRpji5fk+HnQj6w3M5WcyAN7EVnQvp1WW5t7lOWWgWCCDIcXVp2IpLkLd34ktJkUnAb5BbwBaGyjxUFqLLeglMDdGosAE+rPPZJpADhAjyO0VbieN2pAf5+Tx7jExRBl4vpmTZEEcWy7ml88Hf66htPe+MtvlcSxM09Z4AfVqBnofGxj31SjOXPuHvnWJXlPZxe4DVWcIHVy2ZxzTsP4oIz63j0aQcPPpJHCL1Gjm6r5kr1hDIQSqXVpokM6JJMAMdyKNlhglsHRGxL33QMJS0nhW7Qk0iM6UCP4dd2oIcmgRxib5PsduZKguR76QmoSxxtR1cHi4Dk9bCey8qYTU4ysaZd6mqUcCtzRbPnlnk/K11BP1IHC2tag2iznVwa5bF69T2OugBuvqOAr99Qwea9OYz0OwDvxPhUGW5uaXDShqWf7ihv+US5/dSk0eBzGM/ZgusxWI6DQl/Pp/oLc8H+nTMfL+Tq9NyNDk5cmQOCAELnT6qlQwy4zUoLqncJTVvtbBWOVkcOB9w27zayYMpxXMRiIwFh0w+c4d0prdzi4qmxCF0R2bcSyZsJCzIpyiIUfmyLTCTAiN2YE1CtI4TqckxUs3ndXEiqJlSFxQG5PImgwjT8NAY8VaWjCiGIUJ/PISi1KIu6atAkJ0b/C0z9T1RwAJFMk3Vy+NmTHfj8dzjOXZtDf0+F59uGPt7J+z87tns2eL74PCIdvNX4i/dehuOXivmLzj7upjddfII4Yz0wOuCi3sgh4kxF2HVmoJvcCAOjuiGmgE+ElRUoFqUoh7Lc2QKHdJ63/Zi0oCxpXq6dzZQzicTqZa0hrOcOge802O1MQisN1rpLMgmtjMIkXRZJi4mmDMN00MfuY2iyBvVjbi970jpJK8kyJKlErDhmiGO1bT+OZfsJmX3oSAdVSDEChIG6OWzaXsQ9vwRYaYMI2Iab/vPJ0nz/qiufLzyfvwUHgJHlSwGnbzMJ8u+K52a/TBs/ojmvjsa8wJ6DLkJjtT2AuiCUwiVy+T5d+e5QmCWhF8oETJKi0g6lbZlp1nLbwE1xaJK23pljgQzQgZZWPRkLZRYeAuJ2whUSC23r38Ti3MQy+yZUr622Pk69UFtxQDuiSrpV4Net0ziIFESUJYda9gTIcHLALEUiiAChipdzpb+rdmpmoSwiQCmBQAxqKAsQUxcOibGkM0Su2EAjDDDR8LH2VSfznr6Rdx2/fnTz5mf2Hg1oHh2Ar1x5HGYnHg+c6sZvBLvvLfCae229Po0v3VDCTT8tIYALMAluRil8mga3bXU1OJmu9bQSkOzqG1stIbT5eX1rFdxBBvAGiqTZMqe3iXVcawBn3+9QQ1jvYsBtPaf3a7ohLEATc59xPAFFXTLPQzuXsrUEpzBtlAUkhUlArlglYNQVogJJclufEqqArTV/oT6XJ1SKE1DKkfTScUFZjDefV8fOgwfxuX+O0Nm+Cvvr7H+ce9Yp33jgoU3xqSeueekAHABK7WvB4y2x33/Fli2bB2Y+/vV/L9/842nMBAxwPYD68BhFgdnVNy0kvFZRSOs4O7xuc25juZEAuJWKQgBrHfZWlj1jtdWGsT82aO0JkiLphwduA2RtnTWq7Wijfp8W26lgp2kMlEiGhtIQbdGVNdf8WshmnnJR2QTYGuRELxAFSMCThJMTIpv4CCSNnrQFJxByaXGT9KUWqFWVQ4QAThShrRDgXZdO46TRTjTyZ86sXXPOlv94fHd86omHlyl4OON5c3B7EFrCT37m30Lzr3/3297ylvEP/4GLVQM1EDjwHIqKI1BiHAUmkGNyASiXqVpKc0sv+sRacO2FwK0BSFuB2wA5QWvrzMH0ZEhREfNeJLU/bdEPj3eLRfantexD7LdyUvSB6UIIkn5sSt3sYgeVfAV1fCr5yubiNm+Hxck155bVQXo7iimimCGKHISRgyB0EYQewtAFFwyPb2P46i2jaB962/jll5z97vUrpm6plgs4muOoWXD5Q/eqkz523fLBc53zTx7/9L7pH3fv+BeGsgtUXA6HJT9M8rqsZJbpWZ2x3AQLqCXIOJSHcbOtMEEmWSo1AUjWSJvvnkJnQjVbH5M9Vj9seq024dahmoTb+SlQtMFYayTUhaTBbwegdAtj/RyHSNqnWZxcNpBQjeiz5xYWbVHfgwj9m4jUBUcPRrm8kpAQD27qQcN/64HlI6/9n5t2hNetHl56NOEI4CgDPPlBuyDE/n9A4Q3Ur0TXVHMPdbf7MYqe/GGiOFkFQP+Ump5Abev9xoraALfojO2AAq05t60Bm8/L4CkL+Ky1B9IEmegXWTtaAXkxqmJzbsNIbFJu77McSx24IcTqoaL+Py0Rav6rKYlMwkp4j1CTgoMkCqCiKyDCOJ4gAlzl25hjpFBo8XDrygZFU9RvA6g6S2XRQYAgZIgj4NyTTztwXvs5VzcajX9YPVzBCzGeV6BnsfGxj/0NRPu5D0EUDhRp7RwSTOXbigSukyxfIUCsRKJsclQLHm1zcpuq2McsWGTceq2bVGDH3q8TqMzjdCVP4lQl94TalTv6PlsJlFl6MOsDZC2kDSBkJqKeQJn3RIv7jPtsPVb7UmAlRoVv+qtRa6r4kxRdTX1E2nQg5gSN0MXMnI+Zmov5BkOhPDw+2D/0wYqz+R/6Bje+UDB84QAOAHfe+k944yVvfLivq/Rsb7tzIRUzfsGnmJrnmK5Lk6CB7Vi8m7YAYSv9uwnIdAF60grcQAbQpOm1CYDle9gRTQ3kVlFOvfCUHeVcCOAaOK1BT1JAbilhIvl/mvanAG1DOgNysQCIF/AsVAdBC9w0o7ET873kOk8cs/MM2/fmsWeMolxdNlPtHHx3rc6+PbDqrYtmKzzf8YJQFHsMdbscpHg9ep1o7Yj3jyJ4LHfnE3V85452LCnJujvHSgUlSHKb7f+8yXotQEWyTiWQRCVTakrWStqfA6TsW8oiZo5v3vfcVniwdW5b8tOkws49IbDkQCQ8W4PTSIjEssNCLytrfQiEKTWWdlcdrRUTIswSgHZslVvH6u9uFBLI1FoICt0Lp7Othh/9MsBdD1KcumFVnXj9fzAftt14YLLOD31mnt84qipKq3HFFb+Jwd44dgorb3z1uvYrTz2xs14tTmO+EcvwLQVcJuA5ck1O15F1EHrNezNImnOnLHtLWkJaWstWiG4Crf20TR0yTzQ5nEfhfInMg1Tlj6EA6qFofq2V52QpKpnMRNMrJRPh5NnopqWmWI2IkAU3J4hiijCiCCIHQcQQRlJRIQAKuTrGpmfB80P1kHZfuXKg/cYntszE51/45qNwxhYfLzjAAeCs17wF55/wcLzmpN/+Hs21/66TG60VnRg5h8NT4M65QN4j8DXASVoOs3+3LLjTkUyScGJkgI+0BTc/VWY7q67Y/NVY/9Q3StMFI0MeKeQtYTuF66wUaH120vaNpF7bfDwxCLfL2pKeKLYsaO03j5G0sNDvqK4QXBBEEUUjcDBfZ6g3HAQhQxAy1EMHs/MMp6xfVls7Wv3df/2PK7/3zR9OxW//3ctfBOS9wBzcHp+69mZceEE7XrXxpMdPP9/Z2lli50f12RwjAjmXoOAT5DwClwFBTNAIiVy1S73eBrTd79t2KrOLpmb5NjKPU9SlFbc23N7OFkyuEGlHNOHcyfcgmStKcm9fNrKOYzqw1IKzZ2mYzcEzPkdzMCr5TYQdLbIcS82NUgu3ZmigbvSku9Y2QgczNQf1kMngDgFABILAAc0tn1q+dOgPL/2Ng9eT+qP48Hve/mLB7sUDOAB885u34f0ffw3OP6H70aH+jt39fT3n7D84UxDxPNrLDtpKDkpFBi5i7J0C5gNq5EG7V4m9MK0MBiXrT2b7nZAMkMzvZQEcC4AxmUAZdcRySG0wNwM7UVmQeW+DcZoGYpMagubtbG/EBVUZi0ZlHVRbb9cdsQCYNNeErye/nykqoTD9cHJ+BEIi7DrgYv+4j/m6LEp2WIT29hKqPRsPBnzkffsmBr7thfM479fe/WJC7oV3MrPjsx95Oz4LYNe+yW+5ruP09vZ86t677+j2aB2dVQ+9HRFcfwZbb6V4dmcbeooczBNGxkqil1ZOdsa5TH5FNSwd+YhIQwvLl1Yskg/NXikWeiugWf+2swZTsRzSfHw2QJS4oYcetnbeKlMxsfwqaUobeApZAcS1Hi4DOa4ToaM8j027G/jBAww+PPS2M1SKQKnYjsGRMw4sXXH6hziPvsXczqOAniMfLzrA9RjorWJ2du6bb7nkbNLX4VzzxKN3d+edKQwtCTHcV8MTe0I8ur2IRsxQEJblMDeS1sCVN9EqsCIy94c1SGbDArHZm3VQU1aVGGu72BDZyWerJ2bbTrRKKnXsCXA4M5ekrLZ1TlJRZZ1PApVRqF+k2rvFsg6WEMB1OFx3Hvc8CtzzuIuR9hC1Wh0jS7uwbPV5B/qGT7s6iMQ3fb/teWHl+YxjBnAAKJWKqM/XvnHm6adEA73Otft3/LS94OxER6WBkf7YpGzqdmw2uBlFc1AHgK54EXrJDyusDbQwgK0ek/RzyUXbNuVpYCcWuYW0YvNenf66wOeb/G4k39tYczs9FiIF7NYYF5kPsM4J0ksQJv+7CvMkPqnlyErKGHO5Xo6AdEC37WE4OA10+MDSvm6ccda5E6vXnvTBMBL/WCwe3dySIx3HFOAAkMsXIER43arVrx53+PYV1VLXZ3Y/e7N7871lONxB0RPwHGHkQ4cR42imJcO0hTXNbzQQgObLMmDEhQUNoHnDzGprhldrHTntPKakSSzyAaL5CqPBpcP22RrMNNgXkTjVjZowpfWxIpH4RCbmoM+pOcbaVgm2oJShETAQ4uLi02bx01/WcMZp54cDnexPTz35xC2+n/tBPrd4a+MXYxxzgAMAIS6fm3zslp7hS7223M9q+2bP/9J88DQpuaCVnEDBAzzHaoqZkgRbO1V63Uihfp1WkiOQUI1sLnYTlc6oFbCeT5zABOz6CEIWAKBlpc1jm3IgCebAyu1GBtytT2hyn3VYdfqW3c0qFoncSIjqBaTvhZJsBQEXAjEXiJgMvwNAuZbHknbG337paaJ3yeo//u2L1v7vRzbvDc7cuOqY4ckeLwmAA0Cxug4i/lkA2nVdd9+KO05ZV/rNJaWDfzU5tgvloiMtpvrlkxA5UuqGBj5UJDQmsmUwoKNtyefpAIBoAW57pBxXo3knjWqIBewmNcZ6WfbtkwzB5Bgb2IaPI2OxM0UNWROu6VSSkakLR5LMRM7lB3AhgRrFqp2EsJQjfYVU+6iAWv4EECFQg0C9wVEsjaCju+0jw/Xh77ZVu5798S+2Bm9+7YZjDSczXjIABwDCzgCA+Wu/fOOm7iWv+tRwz1ZvaqL84V27drK5Wh1BqCpSdLMfHUYmluNJiQo+AGHEEcVqpYA44eVyCTttmdKWsmXcHs3acyrM30rmU6i2jyG6AFfzcBNrT3+kCdaoHakccH189rs2AZ1Ats5DstSMek5TDgiBMCIIIrUSG1G+jnJqKSHg6v9hQj4XxwRzdQDEx8DAilh4HX+99qT8pwqFmXj52hXHGkJN40XVwQ933PaD7+C/XfEG8Y7fu+KO71z/bd/36Cm1uRln94F5CM6R8yhch4KmAE7gugSeQ+B6DI4jL7uNQKAeCASRdI50b77mPt3pQE+ibVt0yCg3SeDHTqoyCVtoDs7oz7RHS0lTH4uMBq4/F0h9t2w+TkpGVS3XGJNBGYfJG1PqSBAyzM0z1OrKivPkfOpzG8UEcSy3PSdGzheohe1YddypjdPOuvhvRkZP+YtLXvfbYt2Jlx1r2LQchyEuHbsxMzMDRmJwQa55+Mltp3/y726mPfn500k87eRzLuoNgfmGtFK+R5DzGHI+g+dSOA7QCGJsejbAnoOyExMj0lFljuq5wkiSxciIFURKehCaxy16Dtr7spMiCbCkT7G+itiRwuxVYaFG/aY/ofFFhPp+SY9CxiSwHSaLCxiT2XyuI2RwxuGySooCu/b7eHK7j3qDwGH6HAJ5XyDnyxZttXmC2XnAZTFWLC1FywYb91X6L+PtXaP3xbG42vMYSqXSsYbKguMlRVGyo1wu682r/+n6m3HlJSeVg0btazMTuy6Pg310x54p7N8B+A5FzqfwPIpCnqKYJ6gUBKrlEA3M4qFnfXhwUfY5cpDtKSgAQdEk1y3Em1NWGQkNyeZ8Z68IemT1ZklDNC+WzempqsKQ6g+M05fuIKsCQXZmVZJKmPoQYiaFjDx6boycF6GQC0HZPO5+pICHn25DW5GglGco5qWvk/ME8j6H54bYshuYnSviuFWDvKt/6Aa3XHzn5MF9M8tWvHA53EdzvKQBbo+3/tav49kdO2ZcN/eeifE9T89P/Xz9I1v2vunex7ajPZdDR0Va7mIeaC9zdLaFWDk4g66uA7jz8SqeebbDBIcYkSm6qvYlFbLPBm8SFUJg0Zxu0qI4wvr+Ta3WgFS+KyVWOzWoCSgy6+1YGrh+ufYqBESKpwtzFGR7aybgORy+F6GzbQ5b9s7ilgc8jB/kGF0iwGPpjHquCy4Icm4I15+E374asdd708knn/jo4NDA5+fn6zNrhoePNRwOe7xsAA4AQ0uXAsCYEE/+BXDR8AzbigvPe+ZNmx9/HILPI+e5KBeAailCR6WBtlIdAW8gTxuohQLzEUHOEYhN/jRpogdAa/nNaN2wLHSKmsDi5c06OBcwqzDIAEsiyhOiloDiUrIw7bnV99QKh2m6aWnnym219H81UcxCVnJKMMLhsBieGyLvN8BFgMkawWSNYmJWLaHOCBwHKOQEmFfCyKr1GFo7etOu2gnvmxDT20/sObLm8y+F8bICuB6EHIent49vXzZ44gfPPqVy3Zknjr53765nzpmbfBplfxLVcoRquYZyeQ5TYQAqYoQxRyOW66VrOTlpC0eaAKlXE7ZlFO3opVJyLT0+3Tccpq+IsGiFtMoCnAtjwFNyJ2SRge5bAsC0bDBruAOZ8DpSlwshYHKxuWqhJh1xCXLmRABioB5ioiYwNkfhUA7O62irdGDF6FqsO37FXdWq//mOnmUPbxCN7YQOHeuf/TmNlyXAAWDlcAcAPC2EeBrAo/ffj76Oyqqvzk4+sZLP3cc6KhPYdWAG193uYts+BiBGwJn84XUdKAMch4AxmHyPbLQz8Qktnk2JyTLMZvCZLEdLS4ZQCg6Xunwcc8RcqMp3Irs+qeO50iwVKzI0RMt4SWhdpJUWJJNJ53CDSec5Vi0hCBVwWAyAY1lfiLe9fgxfv5Vh52QFBd/D+a85MT5945qnPZf/4cjoaXsAbMo6yS+38bIFuB7qB9hUmxvfJDh/3WybO1AqrLvhZw/cUPnE18aKm7fPo7d3HjGZxUyjHTwPlShE4LsEvidXX+BcSM2cQ3Ji1clJV98bC00TJYVYhN2mO0xPHiZVD0KAOJZWNY4FGiFHHMtFIxkVYExniimtXPFt41BqnV5HI63EMj1ZzRrvXGr+MadgqtGmy7hquQb4XoixqQD7JymuvDDARafP4Yafj86dufE3pl0SX7Z6dGiX47DtL3dg6/GyB7gehWIHhODbC6XOZ4GxdaXuS09759u9r+/b+2h00YY7O269f3/5M9cXEYYOKAR8hyCfoyj4FIQQ1AOOMIoRxVYuCFFgsvg1Y/KmLbOx9ET1EKG6DA9wHQHXEXAcBUAC7B2LMD0bS3rkELhMNpQnqtMuUhl8Cf/mIvFJzZKTRE4kXXwAyGWxg4ii3pCTn3MCz5GTl9IYtUaEr9zUhs17Vs381XtWjL/qpHVOdYi9I3ZG7h8ZKE+FEbjnvjLADbyCAA4AhFAA4A9v2jfR3rHytp5gZvTKt97aeP/khz7QYLe97d9/NRFOH8Bx1VIj53t1VAoUbWUHnkNwYDLCwakYUSRUUhcAIcEKIa22wyhcl8BRyefSKgtDH4BEx3aYgOcK5DyOvM/RUQlRLNZx18MOpqYY2ksEOR8QbhJBtC2zaUovgDiWk4MrXq2bJ+ngjevoe44gItg/QbB/XMBhBG0leYXqaC/B81k9QPHJwZH17usuufi6auOyvwX7tj/U114HpjghL0xvkmM5XlEA12PDaC8g1baaiJ8EqPsZypzPvPakE1hnW/lLjM+PTow9exbj46xSmEdPtY7Hdszg55scqZfnNbgkSABpvV1HldU5UFFSoBFwZe0pBLO0ZwZ4jgR4uRBiSecchDOJvXNtmJgsw3O4iTg6jKicGQECCsbkFUAAmKsBjTCGEAKuQ0EIhevICeYwAd/lMkLpCLQVA8SYww9/4WDXnhL6Oh34uTKqXUvi/uG+eyrtbFMcTryLsrm4WMxjW3yTGPKHa8f693ohxysS4PYg7DggYRLR+PjkO13Xa5+eHv/kk4/c4fHGM/FwX/HEhpM7id89jXo9QNEj2DdLUPQpGCUo5iUIfU9uF30Oxjg2PcsxOcPhuxTIAa7DABUiZ1p7djlyfoxCvgG/VkcYFzHbAOYDAc+VnQQ419l9coI4DCjkAN/jAALs2cHBKEE+x0CI9B0IJAUqFQIUcw3sH3cR+QHaO2N09w7i4GzlP8Bq/9nTt4ydce4FQXdX5581GsFEsaSt9FXH+qd5UcYrHuDZ0dFRBYAJAH8EAPu2/wQOpecsJ9MXXvHGxmUsDlY7bB7/euevMD3FUI5CBKHsHpJzCcoFoKMcolys4bt3BRBhCQOdAp4r+YXNXqUlF3I1aCaX1BMcCGMgjAl4nE6k0rPQYUCpwDHYM4/hgb34yUPdaMsxVNWBlBDkfTmBlnSFqEcBKj2noaMzj64O8dQ5p5ZvWLO6+kNKxV2/c+m5eNcfHuuzfuzGfzmAZ0fv8K8BwF37x8bvetty3M2jeEXYGONPPbuJz9UHl5++rvdD42O70d2ZA433wcUYSvkG2ivj2DPlgIQFdJQEqnBUMpPOnU6yBonV/VYLfHa2oC6aDiOZ/1HiDL4bo7OthohO45mxKvrzIcKAoDzcheFlg6iWY6xY3o+uts2fenjTtq0ja86kA32d1HWcLef047ZCqf1Yn9qXxPgvD3A9ero6AOA2/Xjv3v3wfb+6c9ee+554wkW14odLulf+ietEF+TcCIzNoK36CzRmAD9HUS75WNJF0QgC7BsLUCkCBT9GFEaIwhhRFCGKI8RhCBGGah8QBgS0CBR8gbk6QRB5AHPh+wye56KjrQ/v+73Xo+K6yPsUvkdv91hwbakg3L6hNejovOCusweDybZq17E+hS/J8f8BvsBYsqQHACYB3AwAU5N7AOBJiLiXEsEbYQ253GagUYPnUeR8F5VCFO7z1320TOqXDHUj7OuS2XzlQgS3XEMVMzj7tDImJkrorQiUctIZ7W5nOG45cSsVfP/ar2396ECv4zoOBaEu2soeXnfWejgsB0YJdRy2D8DW4aG+Y32KXhbjlSN4vgTG5771IwCkl9TH21b1QfR2SWJdyMVor9QxWavhe/cWMDudR1dJIO8BAEFXlWLDcYKMHudPQYh9xHvzsf5XXjHj/wFwnDvl0rqGvgAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxODoxMzoxNiswMDowMAEvRuUAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTg6MTM6MTYrMDA6MDBwcv5ZAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 240503000
{'hecke_orbit_code': 72057868949390390, 'n': 1, 'trace_an': 4}
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id: 240503001
{'hecke_orbit_code': 72057868949390390, 'n': 2, 'trace_an': -2}
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id: 240503002
{'hecke_orbit_code': 72057868949390390, 'n': 3, 'trace_an': 2}
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id: 240503003
{'hecke_orbit_code': 72057868949390390, 'n': 4, 'trace_an': -2}
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id: 240503004
{'hecke_orbit_code': 72057868949390390, 'n': 5, 'trace_an': -2}
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id: 240503005
{'hecke_orbit_code': 72057868949390390, 'n': 6, 'trace_an': -4}
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id: 240503006
{'hecke_orbit_code': 72057868949390390, 'n': 7, 'trace_an': 0}
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id: 240503007
{'hecke_orbit_code': 72057868949390390, 'n': 8, 'trace_an': 4}
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id: 240503008
{'hecke_orbit_code': 72057868949390390, 'n': 9, 'trace_an': -6}
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id: 240503009
{'hecke_orbit_code': 72057868949390390, 'n': 10, 'trace_an': -2}
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id: 240503010
{'hecke_orbit_code': 72057868949390390, 'n': 11, 'trace_an': -2}
-
id: 240503011
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id: 240503993
{'hecke_orbit_code': 72057868949390390, 'n': 994, 'trace_an': 0}
-
id: 240503994
{'hecke_orbit_code': 72057868949390390, 'n': 995, 'trace_an': -40}
-
id: 240503995
{'hecke_orbit_code': 72057868949390390, 'n': 996, 'trace_an': 48}
-
id: 240503996
{'hecke_orbit_code': 72057868949390390, 'n': 997, 'trace_an': -26}
-
id: 240503997
{'hecke_orbit_code': 72057868949390390, 'n': 998, 'trace_an': 20}
-
id: 240503998
{'hecke_orbit_code': 72057868949390390, 'n': 999, 'trace_an': -120}
-
id: 240503999
{'hecke_orbit_code': 72057868949390390, 'n': 1000, 'trace_an': 24}