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{'Nk2': 4600, 'analytic_conductor': 9.182796232447243, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [23, 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': [1150, 1, [277, 51], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-1, 1, 1]], [7, [-1, 1, 1]], [11, [-11, -1, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679890046, 'hecke_ring_generator_nbound': 3, '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': '1150.2.a.j', 'level': 1150, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 23], 'level_radical': 230, 'minimal_twist': '230.2.a.c', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-\\beta q^{3}+q^{4}+\\beta q^{6}+(-1+\\beta )q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1150.2.a', 'trace_display': [-2, -1, 0, -1], 'trace_hash': 1360248865148138931, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.872', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.200', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-1, 0], [0, -1], [1, 0], [0, 0], [0, 1], [-1, 1], [-1, 0], [-2, 1], [0, 0], [2, -3], [0, -1], [-1, 5], [1, -1], [0, 0], [1, 0], [2, -5], [2, -1], [-3, 3], [0, 0], [-1, 0], [-2, 3], [-1, 0], [0, 1], [0, 0], [1, -5], [-1, 4], [-1, 1], [-6, -2], [0, 0], [1, 5], [-1, 0], [3, 1], [-2, 5], [0, 0], [-2, 1], [0, -4], [3, -3], [-5, -4], [0, 0], [-8, 7], [1, 0], [0, 0], [2, -3], [0, 0], [1, 0], [-6, 6], [0, -1], [-5, -1], [0, 0], [5, 3], [-1, 5], [6, -4], [1, -4], [0, 0], [1, -1], [-3, 0], [6, 2], [-8, 6], [0, 0], [2, -7], [-1, -5], [3, -2], [1, 0], [0, 0], [-3, -1], [-8, -4], [2, -5], [0, 1], [0, 0], [4, -5], [2, -1], [0, -2], [0, 4], [0, 0], [-3, 3], [-5, 2], [5, 4], [8, -4], [0, 0], [2, -6], [8, -7], [-6, 8], [-1, 0], [0, 0], [0, 0], [2, 8], [-2, 3], [-4, -4], [0, 0], [6, -1], [-1, 0], [-5, -6], [6, -6], [0, 0], [0, 1], [-14, 1], [5, 1], [-7, 5], [0, 0]], 'ap': [[-1, 0], [0, -1], [0, 0], [-1, 1], [2, -3], [-1, 5], [2, -5], [-3, 3], [-1, 0], [-6, -2], [1, 5], [0, -4], [-8, 7], 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[-64, 38], [-40, 42], [4, 0], [1, 1], [-32, -4], [24, -23], [-6, 6], [63, -11], [-14, -10], [8, -56], [-16, 38], [-28, 73], [44, -40], [-42, -19], [-61, -9], [-14, -40], [-57, 55], [26, 14], [-14, 27], [-37, 45], [-18, 39], [74, -22], [-18, -18], [-62, 30], [-54, -10], [-38, 40], [20, -20], [-37, 1], [12, 58], [16, 53]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 40532396679890046, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1150.2.a.j', 'level': 1150, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [23, -1]], 6, 2], [[[2, 1], [5, 1], [23, -1]], 5, 3], [[[2, 1], [5, 1], [23, 1]], 4, 2], [[[2, -1], [5, -1], [23, 1]], 4, 3], [[[2, -1], [5, 1], [23, -1]], 3, 2], [[[2, 1], [5, -1], [23, -1]], 3, 2], [[[2, 1], [5, -1], [23, 1]], 5, 2], [[[2, -1], [5, 1], [23, 1]], 4, 3]], 'ALdims': [4, 5, 5, 3, 4, 3, 4, 6], 'Nk2': 4600, 'analytic_conductor': 9.182796232447243, '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': [1150, 1, [277, 51], [1, 1]], 'conrey_index': 1, 'cusp_dim': 169, 'dim': 34, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33555582, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4], 'label': '1150.2.a', 'level': 1150, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 23], 'level_radical': 230, 'mf_dim': 192, 'mf_new_dim': 34, 'num_forms': 19, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 34, 'sturm_bound': 360, 'trace_bound': 9, 'trace_display': [0, -4, 0, -4], 'traces': [34, 0, -4, 34, 0, 0, -4, 0, 38, 0, 6, -4, -4, -4, 0, 34, 8, 0, -30, 0, 0, -6, 0, 0, 0, -8, 8, -4, 0, 0, -24, 0, 24, -16, 0, 38, -6, 6, 8, 0, 4, 32, -34, 6, 0, 2, 24, -4, 2, 0, 12, -4, 26, -12, 0, -4, 48, 28, -16, 0, -46, 0, 4, 34, 0, -28, -14, 8, 4, 0, 32, 0, -8, -10, 0, -30, 16, -16, -4, 0, 34, -4, -22, 0, 0, -34, -16, -6, -24, 0, -48, 0, -40, 0, 0, 0, -16, -16, 34, 0, 36, -16, -24, -8, 0, 30, -38, 8, -14, 0, -16, -4, 4, -12, 0, 0, 20, -24, 56, 0, 42, 6, 32, -24, 0, 12, -40, 0, 48, 0, 0, 24, -64, -26, 0, -16, 8, -4, -4, 0, 88, -40, 20, 38, 0, 24, 20, -6, -2, 0, -40, 6, 40, -48, 0, 8, -14, -4, -24, 0, 12, 32, -44, 4, 0, -58, -56, 32, -18, 0, -50, -34, 48, 32, 0, 6, -48, 0, 72, 0, -14, 0, 80, 2, 0, 32, 44, 24, 80, 0, 20, -4, -12, 12, 0, 2, 16, -94, -100, 0, 44, 24, 88, 12, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 656947
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1150.2.a.j', 'source_level': 1150, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '230.2.a.c', 'target_level': 230, 'twist_class_label': '230.2.a.c', 'twist_class_level': 230, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 656948
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1150.2.a.j', 'source_level': 1150, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1150.2.a.j', 'target_level': 1150, 'twist_class_label': '230.2.a.c', 'twist_class_level': 230, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 656949
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1150.2.a.j', 'source_level': 1150, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1150.2.b.i', 'target_level': 1150, 'twist_class_label': '230.2.a.c', 'twist_class_level': 230, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 656950
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1150.2.a.j', 'source_level': 1150, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1840.2.a.l', 'target_level': 1840, 'twist_class_label': '230.2.a.c', 'twist_class_level': 230, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 656951
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1150.2.a.j', 'source_level': 1150, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '2070.2.a.u', 'target_level': 2070, 'twist_class_label': '230.2.a.c', 'twist_class_level': 230, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 656952
{'conductor': 115, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1150.2.a.j', 'source_level': 1150, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '5290.2.a.o', 'target_level': 5290, 'twist_class_label': '230.2.a.c', 'twist_class_level': 230, 'twisting_char_label': '115.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 656953
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1150.2.a.j', 'source_level': 1150, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '7360.2.a.bh', 'target_level': 7360, 'twist_class_label': '230.2.a.c', 'twist_class_level': 230, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 656954
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1150.2.a.j', 'source_level': 1150, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '7360.2.a.bn', 'target_level': 7360, 'twist_class_label': '230.2.a.c', 'twist_class_level': 230, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 656955
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1150.2.a.j', 'source_level': 1150, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '9200.2.a.bu', 'target_level': 9200, 'twist_class_label': '230.2.a.c', 'twist_class_level': 230, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1720375
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 40532396679890046, 'p': 2}
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id: 1720376
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 3}
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id: 1720377
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532396679890046, 'p': 5}
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id: 1720378
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 7}
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id: 1720379
{'charpoly_factorization': [[[-11, -1, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 11}
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id: 1720380
{'charpoly_factorization': [[[-29, -3, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 13}
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id: 1720381
{'charpoly_factorization': [[[-31, 1, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 17}
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id: 1720382
{'charpoly_factorization': [[[-9, 3, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 19}
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id: 1720383
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 40532396679890046, 'p': 23}
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id: 1720384
{'charpoly_factorization': [[[44, 14, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 29}
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id: 1720385
{'charpoly_factorization': [[[-19, -7, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 31}
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id: 1720386
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 37}
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id: 1720387
{'charpoly_factorization': [[[-41, 9, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 41}
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id: 1720388
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532396679890046, 'p': 43}
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id: 1720389
{'charpoly_factorization': [[[-36, 6, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 47}
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id: 1720390
{'charpoly_factorization': [[[-4, -8, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 53}
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id: 1720391
{'charpoly_factorization': [[[-20, 10, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 59}
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id: 1720392
{'charpoly_factorization': [[[-59, 3, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 61}
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id: 1720393
{'charpoly_factorization': [[[80, 20, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 67}
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id: 1720394
{'charpoly_factorization': [[[-29, -3, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 71}
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id: 1720395
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 73}
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id: 1720396
{'charpoly_factorization': [[[16, -12, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 79}
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id: 1720397
{'charpoly_factorization': [[[-76, 4, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 83}
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id: 1720398
{'charpoly_factorization': [[[16, 12, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 89}
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id: 1720399
{'charpoly_factorization': [[[181, 27, 1], 1]], 'hecke_orbit_code': 40532396679890046, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '1150.2.a.j', 'level': 1150, 'portrait': 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qmU5W5AdygYJR4rA8HmKcNSx3D8nKLm+Wyehe3zEZvmRmycC9k8F7J9k2XnZsWVOzzqqsmR420ees7niRcTnjkWk6oeb72jwzteYamrOV48Ns2R05pT51POLsYcX7AcXLTcfPUC//a7VtgxN8WphRnOr9RY7ihW+oJuP6U3TOkPLQeOLPLisc6Vj+8//6qDJ85cdOTUuc/d+vpvjR78/J+91JD4X3r8tWbw1dUOo9iiJT/3wJOHXvGTv/Jh+c5XHH7FP3n7aX12cSuLq22WuzVWuh4rXcVKD5Y7KSudmKVOyplVOLQomJ9f5T989xIvv6zBiXOznD7f5PSi5tyS5exiwsmFlPO9hOnZEa+8ts+te8CXdQIVcG65xplFzdllwSCEJDHUfEOzljIzlWCAY2cTun3YtcmjWQ+xVoDw6Q8NOzeHLK1qsE6KrPYhTMBiWe5EbNvo0RsqhLIIE9KueezcMmJ1IDh2WpMazVxb0qoJAg+SRDAIJWeXJWeWLOdWEoJgBF7CbVf1ecXVgvl2naWVNifOBZxehHOLCeeWE04tw6Ely8uuWuRnvnuFzdNtjp+d5exig4UVj8WOZLmT0unFrPZTOn3LUh9OrgrOLfb45X86Sv72G2sPqtkfNn7zygelTH8qSQLqjdZLDZULPv7aMvgnP/kJrr/+en7yx//Fz37k4/f8s9//4Bcv3Xesc9GLpwbyldf0uWRrSppq3D0qAIlFAtJ9LSxaWAIJp5drPHxAce0ly+zZMaJRA09LfE/h+5pmXdLwJIO+x/6jNb7whM+x8yHdJGb/iZBNc8u87ZUrXHtpj5ft6XB0MWFxIGgEIw6ftnS6Ta65WLI6Stl7VNFqaJ4/BpdttYyilFHqo3XMTAv2nQhQOsWTCdqDYSh5+Z4Bw4Hk2ktTusOUY6db7N6saDYiVkPLxukBK/0uH/oyPHUk5ZkjI3ZtXeK6K7rMzEa85bYe3/pqyyWbW6TxNEdOTXHopMeJs4aT52NOnk85dF5wfDXm+ssX+A/f3WPT9DQnzs5ydqnB4qrHUlew0jV0+jGdDNzLPTjbl5zvGl62Z5G//00L0pPyolMnTu3udM0ttebueqs9/cXP3PVJ/vCPPvBSQ2bdx19LBr/r0x9n25bN6tCRY//u8NEz//qRJw+p4+dCzvUUJ3qwZ8c5/tsPL3D9xQ3OLs6w3GlkTK5Z7mpWurDSTVnpJiz3EhY7cGJFoOsjbr96mW97dcTujU1W+23OL9dZWPZZ7AiWO04irPQM3aGhG1oGo4S5dszOTQYQBJ7l5HkPIQN2bVTs3mrZunHAuZWQpw+0uOkyS6O+wnMHZ2k1I6LIY27GMBzBlTtHfODL01yxIyEMLRumJHE6pFULeP7oiLrX5IbLE545HHFuyWfbXMDuLbBzc4RSMScXwfcsQlh2bUqYaUl6w4D+wKM78FjuKpZXYaljWO6kLHZSznZgaZSyc1ufb3vNIrfv0dS8NmcW2yyu1Fhc1Sx1Basdw2rG3Ks9y0rfgfvMasrNV5zj539wmUu2tFhYmeLccp2l1WmMd3Hq1Tb+7JYt239mefl8+rZv+lsvNXTWPP5aAfzAgf0EQa1++vTJnS/u3//uc+fO/acDh06w3DUs9yxLXXfSj3dSbrz4PL/0g4tcd3GD8yvTLK02WOnlcsWBvNMzrPYSVnoJy13LuY7gdN+C6POOOzq85eWGi7fUiKIGK50aq32fTs/p0N5AMAotUWJJU1DSEnhQDyzTbcvG2RjtjTh0JuLZgwEmafKmWyK0t8rje6e4aAt85pGEO64JON8ZUtOKJI2ZnYEk9tBewtJSg1fe2OUzX22xews8diDEo8EbX25IxJBnD6UcOVlDS59NM5qZpqAeCHxfoAQkBqLYMoqgN7Cs9g29gWF1YFjqW4Zpyq7tA95ya4d3vCIC02JpdYrzy3WWOp4jgw6s9lI6/YTVXspq37IygLM9xfluyk2XneMXfmiBK3c2OLc8w9Jqk6VOjcUVj9MLlnprC/Pzm/7NZZdf8afbt28/PhqNhpdffsVLDaXi8dcG4EePHGTjxo3+/v0vfu/Bgwd/49nnnhW93kCOIkO3n9LpG1b7hpWB4GxfcaoXc/Ol5/mF71vixstqLK5Ms9hpstIN6PR8Vnqa1Z6g07N0+imrvYRO37DSt5zvCc50DDPTA77hZT1u25Owa5OiXffo9moEngQUUZIFrhYGI0AYZlojDpyyGBtx92NNwkGdS7f53H7tgNisct8T09xwmceBs306K21uvXbAFx8P2DRr2XvM8g/f3mXv0YBNs5IvPKG4/UrF8qDL4ROz3HB5xH3PDknCBrdd5XPJjhHDpM/nH1eQCg6d1LQbGi1gMJQYK0iNJU4AadC+odO3NFsxO7aEvOLKAd9wU8Jcs8a55SmWVuusdN25WekKOn3o9BK6/YTVvqEzMCwPJGd7gsVeyi1XnOc//cAC111U4/zKDMudJqu9oPhvdPqS/sAiVGCuvuYae/HFl/7Irosu+/3lpYXoiisue6khBfw1AXgYxnIwGL7trs/cdamnzS8+/thjnhCS1EAYpfRHKf1BJhuGltWB4NxAcaqTctuec/zcDyxy08U+q702CystOv0aqz2f1b6m01N0BtDrW7qDhG4/pT80dAaWhb5goQ9xGnLdZUM2z6b0B5Y33xpy0WZDkkq0tEQx3Pt0jePna2yZSXjuUA1Mgz3bFTdeYQhqAx4/MGBhscnVFzVpT6/w1Wc8br6sxtJglZWVNps3Wx7Zq/jbr+3z6F7N9o0ei/0OK8uz3HjlgK8+lzJbn+bqS/uc73R45IVp6rrJy66wXL5zBLLP00cEG2djzi3E3Pe0xyhWSAmpsVy0JeIbbo3o9RVbZww3XgZR1HDyrROw2vfoDhSdvqTbh+4gdW7JIKU7MKwOLMtDyamuoDOMuP3yBf7j9y9z02U1zi5Ns9prsNoL6PY9V94wUPSHglEEYWQwxnDTTTfH01P+j99555sOBrX6p6TS5qXG1kueyRwOB8Tx6Lv373vql08cPzTb761SrymMEcSpxRhJ4FnSwJIa4VLz1iJEihKKRw9s4qd+1+Ptty/z7a9dZve2iLNLbQK/Tj3waQQezbqmV5e0hh5TTc1glNIfpmwKDcPQ0hsFLC/UOHnCEiWGU2cTgsACAl9ZtBQMhgqBRzLQXH+R4JKtlp3bBoRpj88+qth3cIY33BRw45UrvP+zFl80uGjbgGe+qtg2rdjQHlBTdaLY43wPmjXN9k2Cp/ZF3Hh5nVffsMj7Pj3E91q8/haLFwz40iMRn3m4yQtH6ly8tcFFW1LmZyJ2b4i55qIUpQxaWcDSCALmpwOi2KM38HnugEd/pBkMFf2RpD+E/sjSH7jPntuA3aGlM4SFgeLsiqUx1eFH37zA37ot4trdTU4vtun06nT7Ab2BR3+oGIaSMBZECcSJxRhIjOCJJ5/wtmze8Mv15vzyjTfd9E/7g8H7mo3G/3cBHoYDQHz/oX2P/NzzT903K5IOrbrGIkhTkIkAK7HWZkfumViksCiR4ivJcwc38OSLDQ6cPs/bX9HnFVeNmG61We40aHZrtIc+/YGml13s4UgzCDWj0DKKDFFsiWNLkrojSnysAakEnhbUfMF0SzDTgs0bDNs3Ddgw0+Fzj8P9T3pIM8UbbvK4fk+PB16IiUZtbr9e0BkOOb/U5LbLDRumB9R1wChRLHRjlBFcf7mm0Qp5Yn+NV904xa3X9XhivwI7xU1X+XzfW5f54lMRX3i0yd7jNXbOKzbP1plpNZhqQT0AT1uUBGNh7xFBmgrixIEvjHGfMUwZhoZRaBiMDIPQ0B9CN4SFvmShDyMz4nU3LPO2V3T4ztdb4rjF2cUW3UGN3sCnO9D0h9qdv1AyCp3+j2JDnBhSYwlDywv7T3L4+GdnV7rRf3nj61+l+/3B7zabLx3IXzKAR+EyUqbfd+rIV37uxKF7N9b0gI1zmii2JAnECURKIIVACAVCIESKFCClyyIqZfFUSk1LFgd1Pvjl7XzpyS53XLPKd71ulWt295mbbrC02qA3DBgMvQzYyh2RIIwlcSJIErfUu9otF1RqDTUfGnXDbCtm28YBCX0OnIr50H01Dp9oMh3UufkqzW3XdnnkxQ53P9Tmlstq7Nwy4ANfFigR0G7FrPZDjAUlYL49oNvzMUmdt91xng9+psEl52q85ZYBUbzEfc/OEac1Xn7VRt5yc5fLdnT40hMDnjnR4OkjPttnJbNtQSMQ+J67CaUAISzGgjGWOMlu1tgSxu5GHkUwjKA3EqyEguUeCD3i+stX+a5vWOWVV6VsaNVZ6TRZ7dXpD336Qy8DtqI/lAxCyTDMbxxDFKfEiSVODEkKcQxnl1b44w/fvbEzsD/3TW96pT17fvn3Nm98aWpZ/l8H+Ft+8Ne467cDVk5+8HtMEv9i9+yBDTU1YLZdYxhCGCvCSBIlAhWDkgIpBVIqB26Rf8+glcFTFl8balqwMlIsd2b48L1NHn6uz+3XrfJdr1/lhks6zKV1kiRgMKrRH3oMQ00UK+JEkqSS1AiMFcXqEPiGRi0h8CN8L+TUUsinH5McPOlz5OQMygRcssXnyt2Km/Z0UcECzx5qsW26wdUXw+b5FZa7ba7ZJkmM5XOPBoQDyXQz4Y0vH/Gp+2KOn21xxaUeZ1ZHPH/YY8emGa7bvcADz/T46vOCMPLZs3uWPTsC9mzvcejMMgdPwaP7Ghw43KShBYGWNANLzQMp3QpnrbtZkxSiBKJU0A8F3ZGgG0NkEowd8bLLunzXN3S545qULbMBw9EUS50avUFAf+QzyIA9GCmGoWAwqoA7SgkjQxQbosQSx4YohjCxjELBqaUOv/3H92z86gvnfnFqxktu+64vvv+r7/sSQv/Hv7kA75z6Baa2Sd5VG33nHXte+O/vfuXh6abfJm438TyB53mMQoOnFVEk0UqipUApgZICJZV7rQxKpXha4HsG37MEnqXhp0zXBL3QY6U7w0fub/Plp0dsmhnw7td02LNjxGjY5+rdlh2bFWHskaaK1EhsDm5p8HTKsXOWI2cFq0PDJx5ocGpxBht5zNQUW+c0uzZrLt4GV1/SxchF3vOpJsvLU9yyR3P1JR2+9LRAJB4bZyTNRsIg9pFWgpUo7dMZCc4tC66yDV5zU48Hn6izdYPPLVfP8vfeusjvf6bHo/ub9EceS6stdm+tc8WWAS+/vMe3vKrH6eVlPvFAwNIg4NgZj1OnfDwlkFIiEBhrSQ3ExpImhpm5mGuvGhCGMXt2hLzzNSEbpxSzrYA4rnFmoUZ/6DMMPQYjzTDMgS0ZhoJhKBiFMIoMYZRm7G0IY7dKREm+UsAwEvQizcFjXZ49ce+Gn/4R/d/v+e0NMep3/vif/Kff4lf+zQ//zQP4U0/8EqfNbeL5J+9517P7j/6OSF5oTLcUo5FHkiqktE4WKI3WllAptLYO5FqiJGgl3NeZNvY8g69Tx+CepR5bGpFlqpYyUxcMIkkvanLkZJNf+ONZMAkiSbjp2gG7N0ckCRhrsNYlcaQQSCXQns/+4z57D9Zo1jQtX7KhIZifk2yc1WydV+zaknLFrlVSscSvfbTNsePT3HK5x56LUoZJj4eeDZiue8xNWaZbEY26k0LGSDojxXLfstRJ6fTrvPLqVR7bO2DfccV0u8bLr5rmB962xK9/DJ442KQ/tKz2NOeW22ze0GDjzIhdcyP+xbsGtBsdnjkC+09IPM+ilEUIA1j3fwtJAhdtTrn9moQ09oiTAGsbjCKPs4sO1MNQM4pUId+GkWCUgds5JRXWjkwRu4T5kWv+SNCLBCuRpJMYbBzyuS8dnV5d5HeE9+PJ33/79R++ZOuv23/0/f/wbw7A/8l//iD/5n2Xqdde/dA7FhcW3v9HnzpVu+nyJpfv6HP5jj5WOMmhpEFrD0+leErjRQqtFJ52bO5r6YCthUuze5LQkwRRShhb6rEhjA1RZGknEMaGMIEoEYxiSZgGxGmNfQebPL0PUmtx0Hba2JPgK1fz0Qrg6i3QrsNUUzLTUsxNazbOws7NIVvmV4ntMr/20SkOHZ7ixosVF2+XXLJ9hXueTzi3NMVNuyUzbUPNHxLIAKsESSoR1pKkESv9GueWPG7cU+f6y3s88ESNTTOCRq3FjZcbfvQdS/z3jxmeP9VitW9Y7SkWVjQbppvMtOvMtKdoN2LmmzG7bowIvARPJyiVIoULJizupopjxfkFTZwo4kQRxYowzp4jSRhLwkgyiiRhJAqwhpEljPLzWp7fcALco9jdCP1YsBpLVkJLPBpyw64u3/fWIVfvfqxx8Kx9/8qqNT/2fZd+9Hve+FvpzK7/+0z+fx3g/+G/fZDpVqBU+vw7P3Vv7333PTqoxWIrR+8fkRjNz/xghz3buijpbC8Hbg+tDZ7WeNriRQpPW0JtsxoSwSgSBJ4g9BVRLAkjQxxboiR1rkhSOVJIUkuaGlKD09uGAtxC4FYICZ4HgRbUAkEjkDQbiqmGZGZKsHE2YdfmAa3mKh99MOK+Z2dZXWxz7U7Fri0el+0YkYpVPvdog6anmZ9RtBojnj2E67jfYRmEiusui7n2EsvZMykLKz7DUYM33dzjK88MOXBK0axLAr/NNRcbfuZ7lrj3+SGfuncDS13Lro0pKx3NdFsx1fRoNTyadUstMAS+IdApWtkiEAfH4q7SUpAYSZIKkkQQJy7WiePS9oti4SRHBGGcOo2dE0cmR8IolyQwiiFMBINY0IsFnVjQCw026nPjrmV++geX+ObbU0ZRk03tA7VItP7w1L7G37Vy/s9O7nt/un3P93x9A3xD08jhsPPtp0+e+p+HDx6rbZipsxpDGPl88qseUaT51td0eNedPWanEnqDOlr7aJ3iaQ9Pp3iexo8UvlYEnmObwM8uSnEo57zE0jkISWn7JakhTZ27kGZ2I5lbIoRwjowUaC3wtSDwJbVA0qwL2g3LdMuwaTZkfqZHYlf58Fckv/+ZOTbWaly7U7Bzi8dFWw27tqzw0Ycsy8s19mxWzLSh1Yg5d1RyfiXA3w1hLJifkkxPw4EjlpWu4exijcsuqvHam3p8+v4acy0IfB8lp7nmEsEPvuU8njzPJx+Y4YVTNTZ1YzZOJ0w1Fa26olGX1ANN4EPgkUk7WwTlBchxN3ZqIE0FSUoGdIhT63zt3BXJAB0nhihxAWSptTM5kgjCBPqxpBu7AHY0imn7Xb7trQu8+zUDXncDrPSmGIY1RmHAcHSyhtf+HaNa2oran+B45usT4H/8oY+TpuZ7Xjxw+L+ePH68vbGt6EcGX0pWpUdfKT73mOah52ucXVnkH76jz2w7ZhTU6Q5Sp689Dz9K8bUm8PKlVRLFLpUexYIocSCPM1ZKEohTSFPnJBjjAi5jbN7DmYHbAVwpkel6B5BaAI2aoVVPmG4lzE8P2TCzyoP7Iv7w7jr7j0xz0ZTHJZth+2af7Zvgip1dBkmXR/a2qSuP+RnFdAumWyEzUwm+rxHC3VzD0Ge5G7M6sHT6CedXfHZubnHrnvPc/eiA/afaNIIYT/kIMcUl2xR/5/WLvOyK8/zh3S0eeW6apb5mYzthupHQqEnqNUXgCQJP4nkuVlGKzD50KLe4HlZjKICepCZb3TJrMTEkaeaMZImcfEWMEufKjBJBGAsGiaAfC3op9IcGEw+Zq3f5kW9d4p9/+4BaELDabZTgDn2GQ4/O4HRbBfVfm910lf/4Q5/+/Zfd9tavP4CvrnaQUn7/H3/ooz93+vSpuVZdZuPOQAqDFgJPKLqyQWek+a9/6rH30Apve1WfV1/fZfOGkG6vzjD08T2fwNdEcX6oAuBxLIkSt+zGSeZpp2TWHxlzS4ylBLdLUmbMDVq5hInvWWq+oV5LaNUSZtohWzZ0OdcZ8Buf8PjcY7MsrzS5dF6wc6Ng20af7RsFu7eO0P4qH7xPc/hEk8s3SWZakqlmipQhpxYsgZZIAdYKoliza2OXR0npDhQrXcu55TqXb6/xLa/p8Gdf8jl6LsDTMUJ4GNskTiQ37V5h13d0+dwTAz7wuVkeP9pk24xgQzOlWUup+U62+Z6LVbTCBc5SFDUZFneTGYtzWtIsE5mBPEmdpHM+OhVgZ8mjVDBMYBBLegkMYkPSj9i+ocurb1rlm+/o86aXGRRNllcahJHPKPQduEOP4chjGCr6K2fm/OauX7zlld+kBoPu7zYa7a8fgHc7XTzP+3tfeeCBnzvw4v6NvudAZq3FYrOgzqKlxZOCjvDphjN88N4a9z7b48YrOnzH64a85dZVNkwHDEbu7o9jjyjxiGJdBEpJ4rzsOM21pSRNBakRpdY2gkKVWMfcUrhEkUsWGXzPEPgp9SChVQ/ZMN1nGA/50rOWD90zxSPPTTPje1yzzbJlVrJpzmfrvGT7poiLt63wzNEhn/jKPFNKMz8laDcF7UZMZ5DymYdqtHyLEA5Yw1DztttD7nrY1cR0+obzK5rtG1u8/RV9HtnXY+8Bn2aQoKRwIDcNRpHT+n/ntR0u33KeD97b5asvTHN8pc7mtmCqZmn4hpo2+J5znZR0N7JjcsjLj0wm1YwpV7gkA7ojCIhTQZyWwB4lgn4iGKSu/iSOIpr1Ad/2hmW+/fU9bro8ZeOMx2DYYLVfI4wCwqLZWzMKNYNQMYqcr75v//6NKnj451528+2m2+2+t93+qwf5XynAj55cYte2kDQ23/38sw/+0pOP3T83Gnap+QprLMY66hRYhBAIYVECfAldqej7TU52fU4/3ODhZ/v82bVd3vnaAW+8fcTctE8YulqLKPGIY69wBJJUkSSSxEjStAS4sRlzm7KmTAibBZWujkNrg++lBH5MPYho1YekDPniE5I//vI0zx2ZQsQBF81YtkxbNkwr5md9Nm+QbJ2P2bm5y4mFHr/1qSZJWGf7dsF0S9NuQrsRI7yI7rDJdMt9ZmshTiSzgSIxCb3YpzdIWekqTi3UueriFj/0Tav84p8EHFtoolWc3RiaJKkxiiSb5wJuurTLtRf3ef7YKT50T527H5/mdKdOM1C0fGh6Fl9bPAVaunS+EOPVdQawxt10qRGkFpJUOP88FUSpSxINU8EwhVFqiZMEE0XM1Qa86XWrvPt1Pe64JqFd08RJk+XVgDD2iSKPMPYII48wsyCHUWZFRs4YWF7qcPLuezYuddJfuu3WlyePP3XmD266XiPE/F9PgA+HQ46dbHzz4089+OtH9t3bjqMY39PESULimaJYyrV0uQuupHXuhbTUEkFP+gwTzfkw4JMPN7jvuQEv/0KfH/vWHlfu7LJxWtGWmij2iRKPJNEFyB24JalxPZquLksU6XeRySOlLFoZtE4I/ARPRXSHMQvdmF/9aI0j52d4Yu801vjM1QUbN1g2TAnm2oq5aY9Nc5LNcwnb5gfMTa/wuScNj78wzbXbBTMtSashaTcMzXqE8EKCQKNdtYHLMqZuTstwFJMYQW9o6PUty12Ps0ttbruiz61XrfLBL9SoLyu0jB0grSZJfaLY9XhumK7xskv6vOzSPo+++jTHFiR/ePc051cbnFwK8JWk6Qn8XIZlErEg8lyq4Jg8sYLEQGwEYQqjBCJjIU0giVEqZNvMkGt2uetx85Up7bomSZp0+gFh5BPHmjD2CjkZRjrLTmd2ZJTHTWCtYmGxy2MP3zV31aXDX7/p+jtW4mjwib9KTP6VAfzUiYNs3b5Nve8P/uTSF/a+2I5GA9rNGpCiFHjaFQJZ63SgECIrmCp1sK+grg3DRND3fIaJx1LU4O7Hp3jwhSHNIOTvvrnDjrmEXVuH3HZ1Dy1ci5gQTq64rKSrlba2wtxYhHQFWmFssSQgE54/Inlsn+bTj7R4/niLKGnQ0or5umW2aZlpWOeDtzWzU5q5acHm2YSt80O2zK9w33Mh7/n0RrZMa+bb0G4q2k1Bq5FQD0IefFExijRe04HKWkGUSGpaccPlQx5+dtoVPg1TVrsei6sB5xZn+KG3nOPk4hIPPzWPJwERY4Ak0USxRxhJ+kPNTKvGdLvJrZcPePW1A77jzgX2nTDc9UiNR/bVefFwk0RowlAxiBVKyGz1rAaeWU7AGhJjscbgiZQpP6JGzK039tm9ZcT2DTHf9caQuq9o1jRR3KDT84lijzjW2cqqiBKVAT2LleLcZ1fEmRmQpu7vT7U9SEc89ODT7ePHhpe+9g3vVnv3vZheuefyvz4Af/KZ51noN/3FZx/73vkZ/qsneuD5RJFzgGTG1J4utbCr+cgCvcRpca0sfmoJlKCRwkgLhqnOjhq9XsovfXAGm8Rsmh9x1c4Rc1MJ73ztkJ0bI+JYZHpbQoW5yfSnlAYhBR+5t84zh5oIrTl2usGpcw1qdcVUIJhuWto1Q7sGrbpgqqFotxQzLc3cNGyYTtg0N2Lbxi6pXeUjX2kz7De5bLul3VC0GpJW3dCqJXhexOcerhEOJN5G1y2aS5RmXfGmlw+5/0lDP5T0hyndgWa1pzm71ODK3S3eeUeXJ55vcGy5hZIGiDO97BGnKhtoJOmPNJ2+T6veoFkPuXL7iFuuGHHifIejZ1bRXsrThzV/dk8DoZQD9+T8QWsAA9YSRym7NiW8+7VDNrRTrthl2TQHaeIRRi2SxHVNxYk7kkQTp4o4VsSpKmp8ymd3U7tA1VWKmuza+BosAS+82CGR0X997LGHBzffvPP3Txx7Jtqx67q/HgA/dOgY2jt3eWfl9G8cPfCYlFKhpCA1JgOWs+GMLQyMAtwycRpRK4tOnAaMtYvk6ym0UkuUCkIjCFOP0HgkBhb6be55xmBJ+fgjbmQD1mRHnsXLLLKsIlEIiVSKJNZIo/G0pBXA7nlL0zM0AkMjgEYgaNYlrbqi3dBMtSQzbZibSpifCdk63yNlhV/98xoPPLuRS+ZgppGxd0PSqic06hHNxpB6vUGgnIMkhLvBjYE49hgNBcMwpRcq+iNDb2hcy1zT5+S5KV55VciPvuscv/xnmuOrAUIYrI0xqSVOPKJYMgpdjXZrqGnWfBr1Go2gQS2IadUjbroswvdibr4s4bteN0CrJEsCGYSw46I8k3TGSISQBJ4CfEahZmlFu7qdNI953LOTh65gLU5cLJQH/bmrlYPcOVzuMKZIRWCNIEkNjz76qNw0J37j0N7BV/qD8Lm/Cmz+HwP8Q3/657SbXn3fiwffceDFA6LuC5QWWTAnsoBOYJXAq4BbZOBW0kXsKnVAT02WeTQU0XxqLIkRJMYSZxoxMZLYSlKjiU1Amtle1UeRpRSghXBaX0GtbqlpS02lBB4EGmq+pR4I6r6kUZc0atoBvCmYbhlm2wlz0yEbZ/ts3bjEez5t+MDdm9gxrdjQMrSbilZD0WxAo57SqsecWTIcOhNQ8135LeSVfoJRpNm92bB5w4juyGc4shmLS1Z7mla9RqsxzXe97jyHz5zldz6xDS01FkNqUncuEk0YKYaRK4oa1CSNkaYeeNSDlE7PxRi+l2YJsxSdZYyldOl8kR2udCWrtrduJeyYrMrSuLjGxTdlrJNUnpNUOCcrs2wd4EtQl6/za0omV92hpGSq5XP44AvCpsk75jfvPnTPFz4+vPMb/s8amf+PAX7DHs9fXF74yWS0+JOeiqUQKrPinMZ2qTRJWRmRnVRpXYFVYtEKdAqJch/cy6yqNLOv3GGLNHuaJyssGCuKQKmqucluJCmcFNLSoCVo5ZwFTwk8bZ1vrAW1QFLzJfVAUa8pWnVJq2GZaqZMtxJm2yEbZgbs3LTEIy+GfPDerczUAja1DO2GcOCuS5o1Q7OW0GqEPLIfnt7X4NL58mbP0+bDUHHzFZbLdg559LlpBqFlOErpD3UGco9GrU69Ns23vWqZp188z8N7N4NVGJO6mz6xJLEt6kmGoaYxstRrippvCHyPwE8JtMkyw67EWCnjchLSlQYj3HXJaaEMzkV2fh3IjRGZQyVJ8tR/5lrloC5fi6IkIMmypnH2nFZAbozLT7iVXnJ+KZZhevbfnVgIfOk1fhaIXjKAL632ZRIPf/rI0ff902hw1m/UPEx11VMCYXL/VSKEzXQwSDerklQK0tRJlMSASV37U2osJj8JliIT6YKh0t5y3jqVyzMJ8DKhozKp5GVBryvactm/wFfUAkU9EDTqglbd0m6kTDUTplshc1NDts6v8PD+IT/9vk0cPznNxRsM0w1o1xXNuqJZg2YtpV6L8b0RnZFFSYWnLFKW7yw1OcP5tOsxg8QwCN3+PINRSm8g6dQVjV5ALWhx0eaYn/neDv/+/ZKH9m7CojDWkKaGJE2yVHrmLweSeqio+ZLAtwS+ItAGz3N+v1Y2KzfOCCaTKULYNQ26JotjjClZPa+bT43AFPkG5wwlxunrNBXE2c2QpFSeqVzjzIuvSBUnveD0gZP+xu3ej//4P/o73veb3r8RsvWXTuf/pQG+vNLBpPHP/unH7v3HTzx2orZ1TjsQVc6SBKyA1LqOE2lcwkcKS5rJESMhVe61NhaTZmn1rGM8TysbY0u2zspA84MJgGeyO2MFMqdGoJRza4pyW+1qWnxPUQvcSIZ6YGnWDK1GSrsRM9WKmG0P2Tq/ysP7Bvz739/A/uOz7Jp1DkurLmk2pGPvuqVRS2nUYuI04o++0EIqhSedW1QwuBXZsu7xd96wwucfj+hFAYMM4P2hotdXdAJNzQ8IvDZX7Ej4T9+3xL/9fcFXn9uEsZLUuLR6nLhCszAyhDVX7hoEgponCHyX2fS1LTK2Whmkct64FNYRTg7wMuWZgZyC0fMJAyZ/na+oWTItTUVZ51L5WZqBu7oaVwkq/3Miu4Jz0z4XbzhaO3v03n/iXfoGEY66PxXU/nJJoL80wA8dOoK15ta9zz1Zj0NDGAnqNbKTVp4oa0FmLCCNK8RXypbFT8pmzoB7rtaNuBNps2VMFCfEZJRdZe78kQPc6Xw3P0RW2FvrvO5E4nnS1W/4glrgZp40gpRm3YG73YyYbg+Zn+7wyL4BP/3eWZ4/toHtM4K5ZkWa1DTNmqtfqdcS6kGE54WcWprBUwIlTWbLlUFmmkqSRLFlxpIkMd24xjBrAxuOUnojSX2gqPkevlfD01Ps2Z7wn/7eAv/q9+DhFzY6qZAa4tQSJ2nG5IYwMNQiychXhQTzPPC0k2iuTsXlH6TM5YEtCrMmMO7kCvmqmYE8uya5zDA2Y28ripU3/1kBclO21OXSpOp0ObcNaoEiHBkef/z5Ov7lt/6fzCj/SwH8wa/czXQzbXz8k3f7DW9EY97H96RjR1myZ54azy+qqZRtGmmzk1H90BnQbXkCjClrJ/IkUR6crPeQoiyiktI5ODm4lXSztkt5AjUPAt9Qr1nqgdPPjXpMuxEx3RyyYabD4wdG/NvfneHZY/NsnVbMNw1TdUGrJmnUFI26oF5zN4dL9Uc8vFfQH/nUVHbTS6fB8yaE1AjiRNOsKW67uscjz7cZxE6mDMOUwVDRCxSBr/A9P9PP01y5w/DzP3Cen/ht+OrejcRGEhuTNUuXPZihLwl849jbK+votcoPMplScbSyLO/6IM+DQlFhX0izTLEx7rWpALt8XV7T/LWTJmsBbq0gjCRnlzSLnQFnlj7r33TrnY1Pf+azg7e+5c3/9wF+7swxNm7aNn3Plz75W4EXvmqq4SyRXOfmJyx/5He+lRTyIr/jjQGjc5bOvh4D9fiztba4Yci0d3ExhCsoEjIPcEUBbgdwUFnFoKfB98D3DDU/K7AKUuqZvGjVQ6ZaQ2ZaXZ46GPJvf3eGp49uZPO0Zr5hmKpDsyZo1hWNuqJRsHdKLUhoNUbc97TPaqfGzEyZJs/PR76cx6li45ziddf3ue8x47poIlMBuaTmSWqextM+WteR0nDlDsvP/cB5fuK3LV/dv5HYaOK8AjC1BZMHsSyqC33tOqM8LVwboM7PDcX7K25C8rR+KRzyhNDkYSrPhZyssHR+PcdIy5bsXWSZcXFAKgVJ6lYTYxOGcf9VJ44f+713feu3/PDhI8dWL9696/8uwFdXztLrLv3EyuKxbzfRMu2WxmaufVX7Fnd/cednd3px11dPSlVbi7Hly1Tu9DHmtvnfFJULktmPlRpvpcpMqVa4+gxt8TzXWFzzDTU/pV5LaNRimrWQVmPE7FSHJ14M+cnf3sBThzexcdpjYyNlqmEzcGfsXZPUA8f+tSChEUQkJqQXBQgl8VQp24QopVZqnKUWxx5Nf+TKBaIaMznIRykD3zF44Mus+SPfgNZyzUWWX/zhc/zL/2n46r5NxEYTpoIozVvJBLXYEHgW3xP42mSrl2v5U9mK5s6PKCSdHLuGJeDHYp0JcBckZOyYjDSm/F7O2lWyKq5ndh/l8jL/o9bC0sp5fP/Itz/2xFOH4ij+V/+7eP3fAvjC+dPMzG3Zdd/dv3/toHuGZkNgjCmWrvUe1XqQ4oPnJ8VU9dw4GxT/xmTLoi3/e8Wpzlm7GlTmy23WoaOyYEpri6ccsH1ti+rBmpdmujmmXguZaQ+YavZ4eG/CT71nA08e3sT8lGa+njJVs7QycNdrzk7MwV0PUmp+QrsZsfeo5d4nmvhS4inXWVPVkbkrFKeKxGhec1PMpRf3OXS8znwDRpF1R5gyGGUsrBVae6isd1UIy9W74Od/cJF/9duGrzw/zyiuE6aSKLE0EidZAg8Hcp2vXqbobZUqLVY4JUUF4GKMqCb1SgnyCvGMrbaTbM1aqZlfy3XlpvuBsS5gPXLsNF958LFr/9k/+oFdx4+fPLZz5/a/eoB3V05Tq7cvOn7o4V+JwpVvxg5o1FS2/GQedOXNOiBWgE0GWjMJZCq2nxhj6kmnpHKOySuc14BbWKTKbcG8kTljbe1GTHieIfAMgZ9Q8xNqQUSjFjI7NWClN+D+5+Dn/3gzzxzcwIYM3NN1S6suaNZE4ZU758U49vYdwOtBSJSmjIY1allMInPAFOcms9xSSZJop+V1SBhZhrGoANzg+ym+p/E8iVYKJb0C4Ai4brfg5394hV/6k4Sv7pvjdKfNqCmZTi2txFLLJg4Ens28/9xJsQV751IlB3jxfrM3XcW5rV6HCgtXwW4mgD/G9ObCAC9jtup/C/qjAefOL3/zF+/5avryl13/T44dP310186tf7UA760eJRzWb+ksvvCOUWc/rYaPtWkpMQCy5bfIihXAzhm5KjvKysIS4GW2rwrw8jGWjigughv3kPdW2kye2Kxq0DG36/E0+EV5rAN34Gfgnu2zsDLk5/6owScemmexP8P8lGS+loG75nR3Iwss64GkEdiMwZ32rgUREPHlp3xWYp+5YCIuEdUl3enwKNa0A81rbxzw8P6IXhwwFZusi93gh65W3dcO4FpZlPQQ0iVosLBnh+SXf6zLXQ8P+dn3buLk4gzDac20L2glhkYCQexGL/vKDTTy8kBTiiIIzp+rgXpxY4oS4AXQK9cpZ9wqm5NXKo4Bfvx3Jv87k8TmtLvk4ScOMD278R1BrflH/f7w6F8pgydxD6Wbly2cvOcfRb0nmG6lpCYpmwqsKPR11eUopYkYu8NtNrej+L6pfjBROWmTAC+1fsneTpPmLoDMap+dDeaArZUDt6dTfC/F9xJqfkzgx7TqQ7QecN/TKb/3mTaffmAjkWmzsS3YUHOyxFmAuU+uskNkzF1l7xitQx58YZpBpNnSsNkNN8ngWaBpXP1GzVPceuWQxDiAD2PBKHdDIpPNisktTpUBMcsK487nhmnBt9/ZpxWc5r2fGXL/C3OcjesMapJ2Ymlq60CuszhEZRlkZTOQZ8SQxS95PZZEjOvjyatRMLAdAyhVkLIewCcAzTjwxw0JGCWKz9//PHuuvOIffetbX/lkpzc4MNX6i0fC/YUAH3SPsHr6k2h/Zmvc2/dqX56DRoMkydvCssaCvHNmDNSZa1CVHoWnKsbvVsQYY+cSZ0ygFcC2E9LEFj6ukiYDuMlqvjNwK1eLEXgxvh9T8yIajRG+P+CP79b8wh9s5NDCLF5QY3NLMBuktANLM4Bm1mFfD1y2s5YlhFz9SpqtBE6eLHZT+pGPrxS+tGvzApRecpqlt6PEo+6N2Dw9ZHXQYhiLbIiOixU8L81sPpXZnarwr8vA1VU+fvMdfW6+aoGf/8MRH/jcPMtJk0Hg0fQkbe1qcALtSpPzZgidJ30kxQ2ZZ4GLc70OwMfAXrlu67IxjFmDF3Jl3PkpgZ2arEY9VZw+1eXuB/e9enWQbj231Dnw/P4TXH3Fjv8zgAtSWpu+4aLh6jPvGXWfJvAtSsUkymQAzwtyRNaWVgW0mAD4+DOVnxUnx4qv/X6yjJuzA22puzO9raRBVplbpQ7kXoKvnSQJ/JDAG3L0XMLv3NXkY1+Z4/C5GdoNj9kazAQprcBmqfcc3DIDtyySQrVMewe+u3HazZCPPqg5cKxOTQmXMcwdFEqUlwG20+FxotmzC956c4/f++wc/YamHVtGsSWIsrhBGTcASeXOUA5yr4Iytyrs3CD5qb894NrdJ/ntT89y+OwUy0mdgadpKkEjA7qflTB7mctUsnhZyixEtilM1UKcBPfEF4Ump2RzwwSzU3Fh8nOSu2i20hSdTa6NU0jQ3PPQfl5zy1Xv+e6/9co3Lyx3/0Kp8jUBniYDpKoTrnx5O8OHL/HkOWRQI0kiYqXQqSuVdE29YqxmIW84mJQda79XXnS4MMCFqFqRtmCXkr3LGgslc/ZO8VTiOne8hCAI8XVIL434jQ/7vPeuzZxamsaoOrNTilnfMuUbGhlzN4r0vczqVDJpknnnBbh9l70M44gDJwP6UcBMkLk4edIpdyUqF7moSYk17aZm9/YIFYzoRS2GvqCezSDxM3nlZRJF566HUBcIXhXzUwN+6JsHvOM1Z3nvXV1+5yNzLA6bDHWNmlY0tKCuLEFiHZtLJ1W0LG1NKe04kzMuD9d7rLET4WvIETEG7txNS+04e0dZh9HQSs6d7XLXA89e4tfk9m99061Ho3iE79X+cgDfd3gB35+eX16qf/jsoS96r7/R0O1DJL0M3JrESEzeJjYG7KomFxUZUslEZh+wDErXWkYuwKmc3KzyrTz5OXubYmahm5CVolWK78XU/Ajfi+iMIh58RvLHd7f5yFfmGKUtfN9nzhdM+4amb2kEloZfgrsWSIJAEmTSxCWGMmciA7jvucznkTOW+x9vEMUeQdOuCTDzR57RzUtRo1jheZrX3dzjg1/ss/9kk2HNjWYIPYufgBcbvMiglCwHkmYJthxQYx67kTQCzabpIf/y2wZcuTPkA3e3eGzvFAvDJiPl43mamhbUJQQys1Fze1Val08QjB2sB/R1XK5xoFeAvB7gC81d5knyytHIQGhco/PIWEyUsHT6c97L91zzYVi6nriz8Jdm8M3zU/KLDx245T0fum9qo695xdWrNOogpCFJNCo16FSSKlVocTsB8ipjFyWtY4Hk+sBeH+CVwiBhSvaWJrMDUwdwlRZyROuYTj/mgecE7/tsm7ufmGK500LWa7TqimnP0vYNDc/S8C11n4y1HXPXA0nNV9R8Qc0nq9AzGbiNWxn8BKVDXjwJpzo1l1jJ9O144qQg8KwPUmQsJYkizaa24LIdQ549njCIvWLenx/hwKfSTKLkiRqQE5051XKINJXEqasPf/frhrzx5St86cke7/9cm8f2tlnqNehIn76v8ZXAl4JAuiZwLd0udXlLYU4mopp74AKBZwXg+eucyMZcNSrBZMVdSqyTJZF14B4ZSNIU4pB2fZVvec155sRHp+zgm2/x6td8lq8xPOhrAvypF88FiUn/52NPHWpu9DWHz8CNl40wKShhSGVKolRWK1xOac2Dnguy96QsmVB11a9yaVItzhdjwDbZc4qSKX7uZsiYhV7CfY9rPvNAi0/cP8X5bhNRq+G1PNoapjzXyVP3yGQH1H2RHTIrOc10ty8IcvbOAa4TfD+h5kdYG/PlJwKOnamzYVbgSZMt86Js9K2gwJqy/DRNFcPQY9cmwetuHPCxhyL6sccwFtQ8i584Fg9jW1mlVOFXI+SYTHGHLBsVjPPb60HIu+8c8g03L/Hxr/S464EG9z3T4nynwVD4DH2N9pSbWSMFnpR4wmZSyzqHhYpErDL5BHaqhJUzd1GXVLzPEtxpRoCJhdgKYkMGdIM1KZgIRiFXXDTklTeNCOSzTcs3/k8RnbgSGP6lAP7gE3tZWu7ROd1l0y5QnkFqZ1kJaVBKo0wO8FyLy3UAXoLcsbdYc4ePnaTipNlSlmR62z07YItiYGeKr2NqtZhRmLL/FBw9rfjQF6b47GNtzq80wauh2x4NJWl5lpY21D1L3YOa58Bd89xMQldmKiuHyH5uM5CbAuS+59rTDp02PHskAM/LlnlbSdGLMaqr6s40zeum3Tjna3aHXLW9z75TDYY1QSMRBLElVGTWnhkbJ11akKVWKXz2zIo0RmXTBzxGkUe9HvI9bwp5222rfP7xPn/6xQZHT9fYd6pBtBqQBJqR1kglXTof0FK6ykzKIFSJSj5iHXKqsnmpv0XmjbtRcmkuSQqgZ3UrefuhScAmDuBpRJIYrALPX2Z58eB0sOG27xwM7e816usHBRcEeDQ4LqJw8I8+8anf2PD971xkoWMYhhLhR9SlxcQJYejmaxurMnlSAnycyWWhs8fZuyzkyQfyFJwuqoGlKVlbmAzgKUHgJqkmacrZJfjCPZpDJ+vc+0idUyt1Dp1uQhCgGpqaVjS1pamNcxE8S6Dd4PjAIwNxfsjsUBnAyTR3Bm4vJfAce7sbK+LIAuw92sCT4/ZgIVEo68HL7G3ePCCzPkePq3YNuWzjgOcOJwwSj1YsCDX42UxAVQG4lAIh5RiTw4SHnMugNPsbqSJOPULPp12P+DtvCLnj2i6nVrp8+VGfwycCPv9Eg9NLNdKhh5Ga2FcIKd1KIbK/R57xLP2h9SoRbXlJMbAm0HQeeTZSr6jNyPtrM3BHaTaLL6ERpDyz3+Oehz1OLh+d/nvfOfhRz0veywVU7gUBbvsfRtv0299yy3PNO2/r8J4Ptvj3/6PNu75Rc/muhG0zhksuGhFYQRplIK8yOQ7YhebOAF0APD8VZWpyHNzYsYDSSRGnr70gJU4th08Inj2s+MIjDZ474vPCkTrdMCCMAvB8VNtzHfoKGtpQr/jAgc7rNPKyWVcXHmSyxPcVvi+zG8CW2ttLs6H7TufX/BhrIs4tS0IboLXElxZdsdkmCLwAeWrH+x2jxEOgmZ+NkGpEP/YYaOGcjrgsGNPKjGUgpaga7dmwI0RGOLkMKnsovVQV4ycGoc/mmYidm2JuujhkGA35u0c6PHfU5wsP13j2SI3Dx2vEiYJAYaXCCMlYNiiHeF6gVXxSkU0yyzKbYynQip1E3iyetfvkII8N2iZcsjtm22zM5bti3vWNQ+57zOe3PzBN7J3k1Oqfo/WFN+xeF+Bm9U+w6bKKBg+Kqakep09IPv9ona88HvDEoTpTvmHn9phr9kS84eaQ194QgU3xNNSbYE32oY0kid1JLgNLubbYuAB4HkwatHZ9m0Ia4sgyGDngHz0p+ZO7Awax4qkXahw8EbDY9wlTH7QPykO1Fb4U1BU0lKWmcOPMVFZ4pBxr+55wSY8quD2Jn8mSwIfAJ3NNXMrc0wbfS7KMaEy9FnF+JeULX23R6QXMTAl05sXLCg7WEEhGVkVAaCRhqNgwp3jjbSM+/9iQ450mQ086maLBSyxenHvWmccuU2cXUp11Iou/Yayu/A0HdD9VpFqReIo41cSxl1mpMU0/5o5rEm69MuTtrx7x4gnJ03s9hpHiA19ocOSsB0IyGGrSSGXpTonVJcDtWGuQ88SLazyR5hSJRRiDzUBeb7iEnMDw2htC3nDziKuviNm1PWHKs8zPpQQY/vSuBoePD3jgyQPiDXe8XP30b34u+el/8Kb/NYDHCcDMb/S63evufVLz638+zUPPNbE16faW7FmOLNf46nOGD38xYX4mwRrLjZdHvPv1I9Jsd+D5acMN14xo1txyvK5KKhjc3d5SQmcgePpJzVLXVe09stfjU1+pMYoVo1hx5qyPEZrYehjhgdaIQKOlxFeCurTUlCVQEChLoKyrAdeZ56tL5vbzvswC3Crr0RQFe/uewffzAq20YG/fj1Eq4p4nFR97qIXytbPbxvT3hRk898KdDpfEqdvx4m23D/nEg10+8OUp+kmNZqbDvVyHx3lSxhbdQkLkd1J+nmVF61cAbrIueO2Y3NOKRGt0kjqgqxSl3CD9mVrC7Vck3HZFjBUh77xzwCh249w++ZWAR/f61APBYlfx9PM+3b5EyPXU+OQFd2W0zZrlhusjNkynbghoanj360fccFmMNTA/bZmdMejss1kjSAaS269O+bV/ucz/+LOU/acG123Z2P4NIewP/S8x+OJyF3+m1f6DP/uDKz79hUB9/itbWI5qGKXHOhmMtYTWcq5jOLfq7r4Xjxs+dY97bY1laibllutiWjWDyX2gCz5ENvFVsNpXPPasT7ejkFoSGklotWMmoXFzgTVCaqSUeFJQU87LDaTBlxUwy3JGnwO5KBsetGsEyBuPq+B2DJ+V1Xo5g6eVIyHQMdZGnFr0icIawZTEz9LeKqvKG8ti5h09UIlPKJg1NYoo9phpKXZsiPDFiGESMEwEde3GneU1JHlCS8lqeass/la+Wrrkjymzp8YUnfG5NEqSNEuKqazEISFOUlTsxkxolSJVwvYNJlsxDFfuHBHZIVIbOh3BY896rA6cbBorQbwAyI2BZs1w63UxU9MWm009q0uBEpkLZCU2EYSZO1cgRRpefV3KdZev8MjzR9TOi09ecePLvq/9L7+n0/WDqa8N8KOnFjl9fvUX/+gzy3d+/iuzGAV4lZKy4ipVtZN7nVhLJ5+QJC3dVcuZe3IT9Gs1Ro8XH1shMfmWC2TPQpVBjpQo4WbuBdKlnH1psy1IslmHqmS8HNyedh31bus9CnC7ti63JUrgC3xNUWLqGDxjce32BPJ0gufFBEHMiUXDH36+CdrHk6IMMAt5ItYweDXDl+cPHNjcYJ0o9viuNw75+H1DXjjXop96NBK3Ka2rArRlJ062J0/xt4rVUJRKIC+hMOXU3TQDepJKtFZ4aUqsXMbUFXQ5O7KwYFVauFcyi4e0sAibsqFh+cZXGhCmiJ0ontfTZ9k1twKbepikNCXiVBJNGBXWyiJh5CDipGxNWF59TUiiD9856h/9RWzyD/5CBv/1P/wSSgn/5IlzNOoeCRJTged4hspW+upsBeylzkq9SkDxFwI8f5ZZM4OL1PJoXQt3r3nS4gsnBfLBne45b6qtFBJpKnNQHMh9XXbVlwCXhWwJfFu0tPm+qQzOSfAy9vZ1jJQRx84KFro1hNYEkjF5IisfK6eH4uxUanaq+jhJFVHiMdcO2bV5yL6zIcNUM0ohSAVeavGSTIcnFM5SmVlU42SRXRo3aTdv6BYVaWTQqSFVEqXz7ctzJs+HBFWBbVAin4xliqRbNUeByKIAceFrXjUdHDtX8iVGZhWnuUEhCoCX1qP7N0kiMOIsho/5dh0SXQPw5/cfRwrBoD+k7bk3W2SayPQc5evUClLyTJSqXMBMa635jGuT8WW9sSgYz/mtoAVoYbMjA20mAfLXxXPWYKCLUlCKBltfCQf2MXBL9+znQM+DT4rtCf2sSSKXKJ52+tT3YxJi7nqwzrmFOt6Uws+libTjDsokj1U0eDmCoUz6jEI3wfYtr+jz4DMjukmNgdbUE0OUpdOLzQTGsoyGsnMoDzTHEyrGZDNVLKTK/U1tBIkS6DTbujEbDpQDfTyhZouxb1KYrODLVsDurnvphI3f3OMgz7PYJYgL1mYyj1Kxlys/N9YixIhh7/C6N9IYwH/jD77AVKv+yj/48/tuxqY0tPOic8CaSnp1Ms2am/am+LnI7sKJu3bCK60CYE0iAYosmswyabqoeKMYveyeRTEKoQrsYg6KwvUjrgfwPODMdbfOZYnN9PZ4LbnvxfhexNmO4YmDddA+OpMnulKgNJbtqwaZebNHzuTFHBhZeOJx7HHjpSFz00M6Kw0GiaKhwEvcZ1GpdUdcBXiWMyj+kJwoRRZZj2RWN6TcSGvPCFIlSZUhVYIkA3kiy+I1mTlDebWmzAAupB3LMo9Nyiqk+GQmj0KmlAnAyVolx95jCcPKDUDlcykJXr1288zmN7xy+eTrH5jdXo57GwO4MBHRyHxjU6c3+IQEgYe1plI0ZTF55wZl/YCrMynrfPOfjzUJF8tKztZldWDhpI4Bw2aBGpUSzlJ7SpG3pJXFQUqBzjvopZMlquheKYGdN9869s40t6bQ27kl6Bi7BLeX6W+tYwQxn/5KwIPPtZCBxpfCzd8uKgjLz1Nm+iazmdXRaLknrkiNYjjyuO3qIW+9o8fvfLpFlAb0U0ktddv2aVlWKxYyRcqMxat/6kJMDkbLbB6NIFXGsXgObiXQUmYDgkrmLkA+VjJRGcknSvYWmfU7SWpjTF6VH5M34xiLj1eimiroTYzR3g3BKPpGm9oH1mXwA4dPMj3VeuMH//wLf7u7fJ6ZhgBhyvrcagOprbC0zdg9X3orAC+LqCY/WuW7OcAnMn4uFTy5DGffK0ax5UAnY3CK8RBaVlg864bx1Di43TiFCebOejb9rL3N03nDQVI5YiJi/vTLbVIboIrsZTXALPsac2djTIPnXU3FCA3pRqGlebCpEXi8+7UD/uiukFUTM0xrDFOBl1CwuJQWmYis8MxkduGkFpXYKhkVIBek2o11SJTAU4ZUWydbUkkqLVIZl66XxgX3OaCLrHJZ2VmCnKy8otpkOMHgFTiUAK+y9ATYK6Ce7CBLU80w6hC0hn9752VvuLffOfn55tT2cYCbJCYOw0uj0eCSOOrTqntuh7K8E77SFFwAnfFxDmu6cyY/ycSjqBCsANwV11OOWJ6oSy47T8p963Ow53vSqEyWKDUx7CYDtlaidFIKO9B13LvGZJsxdxlg6gp7B17EEwclB07XsMpDSYkvDbp6U2Y2YeEQTi7P2VHMhzGi4lc7kMeJxyVbY666uM9DL9aJlc8wEdSkG1CqE5EVQWVdOEmmw5EIzIQiEBUWFxVp5J51FgcoYzOpkt2wqXCsreQYezvmlmVdfq7FK2UWOYNX8z75rJVqCj8HdbHSwARrV8qvK+cpf05SSRiGtHvhJVEcXRrH6efXMPjK6gpRNEKYEa2awGZD64vWITvZ+i8uWN9LRa5c6FEGlmtZPH+d60pZYepSsoiye15QdLrkTJ7ve1nd/jsHeHX4j+u2pwB2ka0smDvbzjAPLnWMJebPvtxgaamOCDS+dO6OmtTfkwHmmA9eFvhX67gLb9q4XRI2zEre9boeTxxsE6Y1BsqnnjotPlbOmlRKWTGZJ55ZuRmLM8GK5Xi8soNGZ/MjU5OvSK55W5m8uUSOyZXyOtmxa7Y+wNcaDNVS6RzkRZfXWE8BJYMXtfSl7dkfeax0YlZXVojj0VqJ8id/+kmklKysrFILNKlxy2w5bqtyx+eyxE6Ce6JheD0Cn6w8q1akjYE7ywJXwKLGhvqUMwcda5fPDuTZuDY9DnBfZwOAvHzrwCwppC1ekYo32et07NDKde68cAw+fHeLUPooqbLs5fhMlskM5gVW59JJqbgpJmPwJNUEqeZdbxjxvs8OeOZwnVh5DKTET03mHglkWiUCm7WXVa1Zk/2t8X2LqkxeglsUg1DdymiQaT5iouyeKvo2ZUWLV8ENJcCr5yC3DiuJmxIz6zesm8zLHx/8Od7XaqzizKmDrK6cx9pSommAw0dPsXvX1sbP/9Jv7j5/fhEhKDZNMjLPgIGRE4N7imW2ZO7qYMyv9RgfEVZ5luuBXIzJk7zOuhh3UBl/UJ3apHUO9Ex7qwlw5+l7L29MNm5mSNEiliU+dJIdMcqLOHBK04t8UDqTJ3aiPHbic026KBU9XICtmko31cSPpukJrtg24pkDEakJGBqfWupqtnWmwZVwm7Xmu9eJAth5Q0R+0csiuHxch84NhOw6q2xYpotnHGOnxlIWd+V1NmXLYMHelI0pogrudRk8PyGlZDG5DZiBOWd01w5Z6WUdq+PJ7MI0od2e2f26t3x/o/eW7x60prc6gJ88eYbl5dU3bNiw4SdGo+fwtMscyWK23MQ8wYzBq3q8CCqrS856wF7D3u45rwLI66dzoIwPhywbCFy5aOW5wtyyIkuquxh7iswLd+B2AC6HAuUM7ukJ9s77Ov2I5Z7hf/x5i6VhDRF4Tp7IirtTHfTzF2Ssy25zkeXIqgzuHJUk0bQbmh/5lh5feqLNUugTSc1QSvyih7J6c1mXT8htOmGKMlqLycBtsEjGnRX33zLWoowLzo11GNBSFE3d48AuwV7tk83BXgC74omLC5wHKBUAVebOrelidmU5utlkWx+WK9+IqenZn1g4u/+BKBx+vGDw51/YS+D7nDh+HHB7w9tsdrcxYHImt7bQjcUdZWHN7MCKRJlM1lb1aJXhxlqhKrKkdFDKabFjAFfjQzZVBdRaSnQmSXQB8FxzmyKo9LSpgDt1nfhqnL09FeP7ER/6ssfzh+ogPaSUBLJiZ4pxDZ5/oAtWE1bYvBxLXII8Ma7lLEk8rrlkwDff0eV9n61hdMBQ+gRSlEmfCbBNMrmoMvmEp1xIFQXKulXBWIEyLmA3WZyTSoHMhvnnwbQoEk7ub5XjLOxYfJVLEwFrUD7W2TWRBBvX3kywdzn+z7kpCWdOn8SiiWO3MYQGmGoFBIFPu+lTD9wE0mqEXQQh1kknYx34J9/I+N2Yy6ycx0UZZ1QYW6wBeg7wKouLir6tAtzJE1kFt5QlwItETw5w6+ZkZ1LEUxWAq7XMrZVjb0+7qVUrHcMn72mx2Amg5k3IkwtLlHyGYnlFK+do0rarduJkEiVONDNtxTfdOeATD45Y6gdESjNMZWZPirKlrGDQiSRLxt75t0zB5qVpoGymw5VAWwfs1JS7Y0jp2F1KSypE6W7Jyqqba/Kxoai2yLCOB5x51F3dibo6i7x6E5agTm05fL9w9wxuU67YI0qCrCIW9P79B5iZmbnokUcf+9HzC+do1H2EkOV2Iako5nZLIwpWH5MnFRavslMV2CXMx4FNzt6TfnjO2BWAi/xEi6o8EWWHS8baqgpsVe5Fr3PmrgJ7HXmidTWpk6CVy1weOSp48VgNQ4CQzj3RoiwdGHdQxrtdchovHMKxc1W6A7a66VPWPJKkGqxmz66IS7aMWNpXx6a+Y/E08/wrLk4BKqqFXpngzstoyVCUFzPl11GWc0ny2MZIF39JKUirUsxUVtYiwBQO5MW1LN9HeRoycNvKeamk4qtBZnXisKkAOzVkW6iUQE9Txblz59l50RU/et2Ntzx18sSho1oIS5pEmz3NG8Nhl0bdz7YRyQ7hZImsDjOXopglWASYEw5KwR22lCNQ/ZDrsXc54qzK1iXYx4faF8+qZHBd+ODVI9vSWlXBXYJcq8qQIFWyt8q+1jpGqZi7HmpxYLEOfilPqu6JmGDvyXER68mUajbYrnFTKmW0kebiDRFvuW3Aoy80wHgkqdPiXpoN+UzHpVIhVapsmQWe5WYC4+M93MosynnuMj9Eob/z10VCLneO8mspBaUzlktPW5FqJZuPZbpzBq9aqbkcnpAnSVqOlig3tFJ0zi4zGpk3Dgfh5ihKj2qt3JsLfMlUUyGkIk4tSWJIU0siLGlapmGNyP6osMji5OTFVWs1+NhHqthFIvvG2HIuRemgVJY9lxUcZ+31GFxVwZ3NJyy37WANsL1ibmFaCS5NBvLEyRMVU29EPLRf8fF7mgxHPjQ0Wgo8MS5NJgPMapyxLsCLi1iRKRWQV33xONFMtTRvf82Izz444JH9PrbpMUwDfOEqKZXI8gOVYE+IKrhLkFcnGbjgM3N0lGPzVDo9ngO8ZG73PZnNTRHC/axq5xY3e4W8xohtHOdr8FJahOU5sTnB2myrFFNuSZgkrmUzSS3DgRtamqTOVdLYGGtitExpNdwfDWNBJCVxbCGvbUhzOQHCuA9nLEhrCwaqAnwdS794Ub3oebavXFrFugAvjsrXLsDMkjsyX1JzkOdlsxadjQsuD1MZqVzOLnRs7Q6lXIDp+xFxlPLZrzZ44XgDPA8hVQaqPMAstwIRcpzF10iy/PwUDkF2/sxaLzw/crswijRX7kx40yv6PH20Tpj4pNJjaBR+SvleitUwD+zWgtxOvBdUDiiDUQKVg0wKrMr3WXLXxeSraz7w1FRLE0p8lOehosH/F/ICVSYvbOnKNin5rm35EcWWKHa7WvSHCcMwIQxjRmGMPv7ip1BK0u0OmJ8VDEOXBZtMBqgKOKVwH1YUy9wksCduyQq617+zy5ORn5j8hOVbkUwCvTryVxWMnQO8nJxaSBSdzwk3mZNiMkCbCrAz9s6CS61iAj/iuWOCzz/YYDD0oekhRV45WK2JWSeLWVmiqyfCaeBKgGWr87DH96ZMKwVYUezRakW86faQT9w34unDAWifkZH4uRY3js1K2w5ESlYbIhxCquJAlXGUVpTSRTo2zxm0SK5VgJ5nlIUEaWx5gyMmzkHlJv8a1mkVQ0XhnimTUfk4t+qObXGC23grMm4LxiF86nOP8KWvvIAxKbqpTzi2rFtG07DSdVF8nG3kqVTukLgTI7I7Sojsw+aJnaz8s+jWWJe+S5YetwnHWbt0UURlSxJRYY2y/kRlEisfHplLrpy5VTEfPB8ZnIPcFAM6y8NlK7VySR3Pi0lsyqcfqHP/c3WoaZCuodnP0+RVUDNxVL9Y74KulwnOm8sLR0WOAT0cebz6mgFveeWA54/VSBIPKxRDofHS8v0IAzItrcLxtzHO5OXft+56U7K5u/7ZDnlyHOjSZGxuqi4K407OOlKUiie+JldSnWMJRQ9NIePSymDOFNLUSWgHcMNq33J2tYOVQ7AWPTcdIYUgSRMCZQBFb6TGwCdldlcL65ptKtpbZKiuToxd91F1TapMPtbWVQkqK0xeBfZYoZWiAnRbYfIJSVKAu6K7K4Fl7pw4x8Q9KxXjezFPHZV8+MstwAfpIYTCE3mThS394DHmFsWFzS5vhbtFKQ1gXIcX2/RJJxVSgVHZ6Idin3iNtZp3v3bIF7464rFDbpJAbBSDVGQFX9n5Ibfrck+6mpUYZ/IqqPKbT+XEpbI5iJZiS8jCSbGMf/5JuTJRTFecka8Rl4yxeBEAlzVR+W5utnIOU2Pp9C3HFgSpVPi+xlqLfnBfjEBiTMhwFJOEDaLIaZwSsCXD5h8+N7odc09MqlpL3BX2rgCgCmqqIM+Ye0yajEfs1ZLZXJLk25a47TlKcOe7++as7anxZ53rb5Xr7wTPS4jThHsfqfPswTp4HkhdaWwYv7Aycw/W+ODrLGO2ciHLAig7diHHqgtT16PqSmk1YeRx9SUjXn2LY/Fh6lg8FD4jAzrN/XCByCSJENbFUawFuQPxBLglWGULLS6lyV67sRDWioLFC+bO4w9brQoVY1Ild1SqmJgEd7G6IcZWuWICrSmxKYRL9vmeYn4uojbTxwsSAt/HWIP+rY+2kVIwHPlEUci1uwS75t3+27n8KAuhBGT2kSykSe5f2sobtcWdWn6IiS3qcm0qSmYmA/e4NVjJZlZ2LMt3OcglSdnNU4JbjQWUFSmiy/HKWqUoXQF4JlF8HXPgjOD9n20Rxh40vEyeULSmqbHMYcU5KZeqC0sUOw70qkwps8QX0uKaZiD57jcN+PT9TfafcjdfahSDVLkqwzTLNmbgFmlm3VENOvPVt0JcyjF38Z6yAFNZizUVqWizIwtmpRWZVKk4KbYEdW6Z5gQ3Ce41p2csGTZe/1QlUCUF0nNTyG7cEnHlxTH1hvPisQb1R7/z3zfN1IP/cvzI6T1tX9IMJEpJ8kL9asIm44KifL9IZhTBoaC6R2V+uE743OoTro64CBbzccBy3NOecEWKZoYczJqJQJIMuJXAsvC9TSFXxmtNKrs/ZI0M+ZHKiPd9qsEffX4aggBUDaU0DWWpK7fXTV6Z6OVNzllrXJlJXZthLct6KytQEUuUtmNevSckWdNBXqLqXgtr2LE54tSi5PFnfRKhQCisULgGbUs1r1B1qCpr6toltgqyQk1Nyhg7IWnGd/AYu2FN5WbJA8c1EqS80c0kY0944tV/k98wSolsr1KFpEYc1WnNvXrzzJY3f1EfPnJiOon6b940nVCvefiedLMtbPkB1/qXItv/yBZL7CQ7lcmdMqCkuBHyr6s3R3nnVzt4xlg8b10b20Ut19+VlPmY/s7BnW9nYgu2zq3AXJbozDnxdMSLpyUf/FIDpAbp2Lvo3K/GAdX3CBOAYozZEaIiS8Z1b15sNb7DgcgaEbKsps3S9yrT4qnm21434GP3Nth70odsrFpoPLRwZbTFuU0zKKbV0M4WxJUDubqfksrki7L5M1hRkVIiDzYz2zg7DzaTazmDm8q5qJZojJVOV95W9d2NS5YKuCv3qMCdr9WeYhTWECJGNoZvjs3Jad2qpcQt2DLvI5XnAsd8GcnvYFum0qvxt6D6O+ssObljUlzoqiyZtAfHkwR5b2OZoi9b1eQkuCeAXd2AqpQpTnOrzBpUFYnigF2CPFUJn3qgyd4DpfaWQjrvO+ugmexqn8xgVllzkivt2OuJBuRJTzxvZzPCbTQg8xS+kypXXhrytlf2OfTBgCiVILTLcCJQVHxxBBJLXAS/ZWsZeZFTdiGzaYKuotRWA87sps4NBpkFocJlPkUO+iz4XJOhFlnR7gQJrGe6jfkVFVkyVo5dWRGi2FmGvaEgCqE1FzNIQvTubZaZuqG/DP1QEkYUrWpUloL8TwvhPpQQ44FlwVIVoFcBXbXN8u9PgkNWAF2yth0LLse3CSz3whwDuKwkd2SpvfPUe7HFSWWuuFJuUq3nxRw+o/jNj7YZSS9j8PHgcnzuyfiGWBfMZEw8CiYqXAJbeT0+nbc6vzC1+Sx2TZJ6BGnCP3hHnz+/t8Gh0xpUjDWaSHoMjUCl+Q1nsx3Tqgo2099q3N1RFX9euYgyK8bKwGxt5qiU4DY2Wy0yx81Ur2uRxl+7LSEVYhgDeYU4x85ZBdj5z/JdlVPjEj5LKyGNmYRBnKJn2iNEGjI3nUDHdyCOIUmdbTW2blSAXr4Ju/Z7Ex+iGlRMJgDGLKY1XTG2lACT4JaMATtncq0qrolc63UrNeGajHnfEd3I8DufaHPqfABKZ9agLAYMTRZVjUmTNW6BWPfiTZDTWOlquQ22oFp/b7JRZqbaDCEVaaLZNh/yA9/c4+ff79OJXUBgjSREOdswFQXIq8FmVRcUuprch7YuuZfddCq/AeW4JlaiBLfNmNvmN37mKjlVkBVhTTppdoIT8tcTcmUM7JMWa1Y7Fccpg1HKUjdluWeQNYs+cc4w7LuCKk87fZmIUku55cu6N834GxqjqsrTmLlfuUvlOiCoFu2UciQDdwH4qjyxY6wtswlWVYBXwa2yr5UuWTtn85y1VVYx6AUxH/h0wHv+rE1oPCdPhCrkSd5UXK09mczAlkuyWHuO1mHxKjNN+r4298SNxRizNoVv3FbgNZ3wQ+/s8+Ixn/d+ygMZAYpUSEYmc1PSPMjM0+ZVp2uSJkV580kH9Pz9SDJNLi0ie85BbS2FDs8TgbY4J+73y/Mz3u0jxkjzwg7LmP7OfXrIpnZZktRdnw1zgq2bJXpxpUESjZxGk9bV2q4n5C9gbpdvZNIGHH+da/hJplsrS9wHL9Lf67J32V1SBbbMBtUU4JZ5QGnQMi10t6oGmSpBSTdrcHkF/vxLDVbCHNwO4J4EP5usVU3LF++/Ulwk85u8eqrE2DUZC5Sqz2PzZypd5GOdPvmmX1Jmu2s4zT3lp7zj9QM+9kCDpZ4CGYNRxGhCIcbrVKrXrqLJy/fodHhpF7qa8zzyykEtczYXLgloM+a12Tmxa661Y0cxhoNcxtqS0SeMicmK1LJBwhanVyKKHmJrBdN1yXxLorduDun3Bhxd7tMd+AxH2aaulfVB4D5AeZ3Emou3BtSTYOYCEqXK0mPfq7B27pzkO6ope0HtnW8A616n2Y4IZSpeVY4ysIzxGgmfvqfGI8/WMRXtraSsFFbZCXlSWXKrgKkcYxha86jo4ErCp7pR07pVhlaiKr54knpok3DrNRFvffmAP7zLBxWBkFghGBntyhuyGxDKjp8176W47KUmLUs1KquMrCSnhHXSJVvdrcyNiXKEHWJ9Ns8NB6cMcha3xY0yPt5QrHsG82y4lIq0YVgeJZztRIiFGP3Yfsm5c5JnnhFsmUlp1LIqvWq2Mf/fhFaqgrwqRy6sSUvDv1oknweRxS5qskyi5L+nChYfB7asdtRMgNu9LrV3scVgLk+kOwIv5tBxyfs/3eJsz3f7XUs36F0JXNeMcNnBsdqTNYcYA/wFrsk4m5ODe1KiVMc7lDLFVhI/KiulVdJtf7KpmfI9b+3zwLMBh85JEDGgMEhGQqKoZlozF4y1IB9jcpuPRM5cFFnahjmo88ymzVZfYzMPPzMiRLZC5wCXFawI4QJVkQO78m+wFZmbWZRjOh1RbDAhhctDbJlX3HCV5eJLDK22Qe+Y9TGDgDT06Q2cq+B7Cq3F2uVs4llMfr0ec0+A22Us7brSpNDgY3vPU5EkttTha1h8HXCrqt6ugFumaJmglBuiGaaG3/pQm/ufqLveNqmd9pYy69qpNvbasfcrJz97hcmrOnIM9FVgV8FNNW0/OSKhYhlaUwG5Ik0NidSoRPPqmyJ+8N1dfvq3fMJEugyUkSTCYyjKbKOTCgWS1gd57hMCY40IwjqPPHttRWkriowIckwUoM4YWkhbMnn+vWIlFAhrC3Dn9G0pA9JCLldOphLusgUeNOuSQDZZWWnQHwboEx3D+b4htW5iUZpnqmyZt5wENeuA90LALhhjnSqzMRavWILjgWU5mmCNLShtMTvvQuAu7MDCIqwElzLB8xO+/JjHx+5vEEYe1LXT3lIV7F1sozeZhJrQkVWbsFQpFygsqni7ObCZLJs1uRTImDyVpNKgUomR5a52+TaOSaKpNxLe8eohd98/5AuPKVCxO/lGEgtNSOmoyCJX/Rcwuc2DzSwpJDN+zzp/cv2dyxLntDig2wzAVVDnduJ4IFqpfKy8zv+bVNebCZBXDQtXR5MyO92n3vTQ584bFpcsSZLPFsnlyfiFmfQvpeAvZOw1IK78Ti5JShfFjn0vZ2tV7DdZkSWCbEB7zuT5FNS14FYqRWbsnYNbZ+D2vZjVvuXTD9TZf6bmpIlwJbGiSOxQTpCq1lhXl9viuUyPfw3hPY5zS2FBVLOI1YaIorucSqVhpYxWCoVMDVJq4lBzxeaYt97R55G9Pp1IOoCT6XFcKl/BOLjtWpDnzRiFRMGBvAp6S1Z8lbG5EKXNaCsrtBVlQ7StAB1Zie3cElDUMonJG1DkGfT8W+5nxV6bqWuG8LVl86ykPa3QLR+iumCqKanXNIEn0VoWlXzrgluuBXOhrcXXZu1SqpRjB1Tld0vWJqu9GNfekxo8n3zqWLzK7uVc67HUfM7cOsGQ8gd31XnPR9tYoZ3vnTknjr2dPBkrGRCl05N/xmoCSxYXpkKGF2BvW1ECpQYXY0AvioyyhmRbWIUZyFOFkaaQK3HqIZXhh94+4OBpj/d8TBMnWY1BtvtdKCT51rGFFhcWYSZAbkUpUSpvPtflBZArfZy5PHHOSpYMykZaIMsNVnI+tobCwcv7R8s10K59XgfkaSqKty1HAq08ugMfFfjoHRsVTa0Yrfg0ahqlsmwlrFm11siRCriFrIA3Y7NxoJfOg6wydQUwUpQaOz+UwMkQYcdZXObgLtPxUlZ1d6m9dTVbmQWWnh9z8KzkY/c26fc9qKuMvXXJ3mPjIMbHy42tYJUVq/qNvyjJUzDhukcliyknRidY1wwhs0YEaaRzEFKDFG6mYauZ8vbXDPjsV+ocPJPZUTg2T4xghNsLR5qMyYv3WimxkyXQ8ptQZUzt4CEK/3uSzXN5UgW5tbZoYHE7QZRyxJpxySdlRXDbKrgz2VNN9mT+d5RAFAk6PUVr1mN24KN3bqnRDgIGK27pMrZs5EyzLBrrXMRJcK+rqycYe8wCnPieqkiTfHLSGrAXLG5K31uW4K7KEpeCN9kGSuX3pExROiaMDXc/3ORLT9YhUFlgqZ1zIkv2zv3j3EWZvJkvlK38i8XJusQ+djDmpFRS9/n4YCNKLW4kqVBI4444VLz+hojX3zrkxGc8QiNBZFN8ECRCMzRlnFC+gzG1W8QHeizwzG/ODLgSN08ImwE8A3ZVjxsHTJndDHkvbi7rpMga2TPP0JgJkCNK67CoY3fvITVZk7xxN0oYxWzaJpC+Qu/atXXVU8PPrsyrv5WmMVGs6I8Eg6xFf/Ixpq/XgNuOSZT1Pe6SrasWYLnthy0Cy5ypc80tVSk/VDa7WheAr1qB6fjrzDFRWSua8hPuf8znF35/itRq0F5WMagRcqKoqrAGbbkCrXceLhSPfA2kT9Y85wDKt+YYT/xkMkVmwBbZXjam1ONGOG9cGk2SuP2FfvJ7u+w/qbnvUYnxSxa3RhCjGGXBIJYxiZIXXFWvvLKWbEhtxuQZt1u3rMn8eznwBeVUK1EGoNI40LqEULliCASY9UGevxtRBjjFw7WspQxHrjdTSIXS9c9u2rJtVX37W+f6Nj57aMN0/IPz033adcMgVHT7krja1VOVGxPlrGPgrnTbVDdDLS2+iUIpRTYOrFILPSZDxmtNCs1dFEvZwu/OEztrCqvyVjQVo1XMyRXBL7x/igeebDpvSfoFwLV087eDSmnsmtrtsSNr31Jkte3V0RaVmnc12Vc60byRX+yxDO7EBgAyP/9l/FINcGVeP56PM7aWDXMJgbY88ozP6lCOLcMWp8kpYgcKbV4yOWPfWY/w1vuqVM1i7EfV5r3SccrjgfIXy6RPucaU/QfV/k+nOpY6hkNnLCeXILY1Dp9Y/p77H3phv37+2BIIiTEjTNrDmCYLS4pOT2bAFcVFq77X8Wzk2gtRHaUghR2/cGsuYGkFlnKlEliqvEQ120IjtwSL1yW4VbVCcEJ3K5WQBinv/8QUH7+nia2VurvK3sU4tmrcMBFAV+VJngybzGCOX/cLUbkouqHK6sKSycc77suA08jxHQ/GalSERKaKVGjkMOUddw554bDHL/6eJhqLil2/Z2gE5Q6bVYjm77vU5NYIV21IUbJS6G5wMqSaZpeZvqdiKebtfZi8GjHblc1knTgVJs+zqDZ3Z6D49znJ1AO31Qr1LjERM406dd9zY6B/7646Wgo6Q8m5Vclsw+fiuZTNMxHNusL3VBblVlh8UoJMgnvSz54IKMs51hUwVwFe1eGq1N1jgWUO7gLgJdBlBeh5rbfOvO8vPBbw+59pMkqzKfiyTOyoTJoU2rs61Ce/USccoTX2aAUka3E9DnJbgVE+RmJStlQBXWhxWUkAyQzcwjrLMJUYoUiFQRiDNJrAM3zvN/b56tM+X3jS2YW5VAFI0YwKNV7NolRAXqkmLALPSYBnmU6kC17JtbnIgJ0HoRJkNppBSJsVkbv/gOvet+XfzJqYx4MTikkKvgftBlx9qWHHliGtZoc0NRjbcJ8sGtXdzlqhRiUKnUKaQJwYkkSileuqLpibCf9X2jXMrSrgrk4frYJcjbF6aQHmPytlTR5MmrENkUqgTxwV10SqBClTpExQOmYQws/+7hSHTwXYHNzCgVsIke3Bmb+/ykgIOcnc6wPbBUOSsZO1Jn8pxr+0JTjWZDUrXvjkHjXVjauMsCXQ86BTKrersdHIyHDx1ph/830dvvrjAb1R9sZNzlpuR4mQXKKsBbnN6l5VEZc55i0AXDD8esFmDvZyAJDTQ5k1eSGQm7y+PD8n42JJynz3aoMnFdK00UajZB1jA8Cg2/NzSKVQ3R4+Qza0JI3AJXvWXVCrDF5htPGAsQTueqn3UpqYyr8rAV79ugC4KiWKlCVr57vuVsEt84ROFmBqHZOk8OsfafHkvprzvLMeRqTbQVkJVzHoEjsTQeWEPFkvNV+kmnPpkl2GNSGRXeekVi2vLKGTOwSWbPgSpS8+PnW1lCg288OFkAgjkSJrcRMaaQw37on5kW/t8CsfmiZKcxYXBbgSoxhRJlhKWiuZPLcIi1UnCxzz+fpl0if7YCKTJhmjCxxwy3bIifx7BeRWuiRXMYvH5ivcRJBpBf2R5PxKjSi2bNnSoNGsYVKD/nd//61MTbV44OFn+MAHP0mzHlDz3f421YBoUn+OV/utdUPW19kV+bHmdyZBncmSQqaU4NYVcOtsu2lZ2IClBpe5RKmlfPHhGu/9SIvO0AM/194eCI0QItPeJXtXW+bW69wZH4cgSvlWYYJ1KUKUbD2J99waLFP2lfF4mTSxuUUoK7Xisuz4cU6FxGa2oRDWSZVE0a4Zvv+dAx5/PuDuhxQ0EgfuPP0iBXHR0SAqJaVVHZ5pZ/JpZ9nNJ93OEFXZ4p7zTqLynxfZS5NJ33ySFOMgz2Z1Fyn+YkUrZtTn060Ew1A5w4KQne07md5yHXHUR0+3PKaaHnMtxYa2oFUXBL7bJNWBXJZArwJ6IrMn1ThglVgL7qqnPSlF1kqVMpDMu8ld5WAJ7iJbWWFume+rnlUMSp2w76jmNz/c4uCil+3NUkoThHRbhFdkSZmSL+unx25wKgxeCSpzRVLN/I7LlXFQF8/VwLLydVWmGFtl8EyLiwz0mUzJb4I0Y28pyzqVVGhkbLlkNuEfvKvH0bOaA6cEVuf6wb1xazzcpByKxuGiw3gC5MVnK9wHW+huWdXf1SBRlIFiIU3y1xmgscLdPcZ1BRmTEUz2bKwlTZ02TxKIpBtMZK0gDH26wzrTaZ0wTtGNmqIWSKbbik2zGt9XqMpeklqV49HKoTvr2H/rgXtMY0+4JRkz5zp+LLAc2za64p5MgLt0S8osZvm9BD+IOdsR/OzvTvGxLzec7lbjgaXMmNvPVpdiKtTETbxuUCnXSu0LeSXrSpOKPFnv6/Uym3Js8moZaEqb713jWDwVEpE6BjfGuqAzNXjS8I47h3RGgp/4FcW5VQlB7P6ocR/WGk00HiqXYCyaBLJAM5Mfqvq9yj8tX1fYuRKAOolTWS1Eru2dZZq3TVbHMBthSQWu/S5fKaxwcwojj+WuZj6SDEKF9D1Fo147G/j681u3zuN5UPMVgafKPSaziHW8H7LssikLozIWnOh0z2d+jLG3KsE8HiSW6Xepvga4qw6KHE/oyEx3Rxg+9WCdLz5ar9Sa5AVVzhbMu3WK7QgrsmQ9YDv2FmsYO//+pEU4Xo0q1tEkE2DO1nc3X2R8VnbebV+d1VcMh88CzjHbsGhQVm6PeqNJE42wkjfcMuJtrxjgi8SlrW0CJjtsgrGWyEBoIDKC2AgSC4kRJPmU13zi69ghytd5EVQxONOWv59WfsfYYhxbavPfcSxd7tNazqxPUlNkL+PYEsYwDKE/tHjBLGkqPy91cNZahfqVX/1VXn7r7avGsJom8Xd2Vpeo1bxs2+t8p+ByyE51KE11Nklh8Sk7zuY56KWhOuZhsqa7tABtlvgph93kluAaWVJUClZqTjJLMJUpn7y/zn98zxRHzgRur26RdeqobBREJamTl8Vq6YbaKzV+I1c3oC03wHKJhuqWhnnCptyJohzWn/8sT9ioInFTJi3KMgYqtfJlsFtN7oxlUIsCsMku/8mpW875mG2nXHlpzInzigPHNcZOLkdOApksUJbZDVpNxhQ3rRhfvsb7Ucsfr73zJx6T3xPuZs//5tjby8jBlS24myCOU3bs3MXMzNQ/O3niyMMvv+V2t0ePGxUsCXxDsy7wPYqSVimrU5dYA+pJFl8vmFTCOLtwwuMeS+YIQ9U1KaVJFegluJVMkaKS5JFJ5qa4Gu+Ti5L3frTJ/kMBNEvWzqWJEAKPLCUvK7IkA9EFXZOKJp90UNZIlAvqlXECz/V39ftrNDnVjaMqQahxN1LpqEhk3tNpBELKjAWds+ICT0MSGvZcnPC9b+/x6LM+RxcqgUPecW7BoAjz1aSypyxFQDkRfOaSIZcdRXVhpQJQugIpFz9UzlNWCkBVskggLRL1FIVfmcskZaasEkGcpHT7Md1+RBRVNqG6+qo9BEGNum/oLh8jNe4/NuZfF4xV2RS0Wt46Bl7GKgCrSZwLBZSli7IW0GNgrxRSjWUsZYqSLhW/3BP89z9qc++T9ayBIQ8s86IqtwV1bgmOF1Ux1qlTVj+Og7rIWFbYSWSVSOsR1gVBPglsxrOXVHS429YvS/RkgaeoSBIpbVGnIoQLPKUxrkZFuHYFp2ENibAwsNx5Y8iPfVeX//R706wMxdp3LQVpZh9OMnCulQvQCbc7tiu8ymLFPCAtNHclyMw7inL/vOKjT4LcpuW5kLaclSiyfgEsRIlldsMWLrl0D8PhsLgXmZ/fxM6LLr97dWX5F3y/hpLZwHhdzv3ziqbe6jyScmxxWTuSfU9M6vCJJI2qau+JrGSR2Km8XgfcUmWuSUV/j6Tltz7a5Hc/0qIX60wHVLS3kEghCETWa7lOcqrqlqzV4ePz/vKVteDv7Af/K+CuUv1Ymn4M7OVRMLqhqCYcc1oqk7BsEXSqYsZ4PlslNdpp81TR0vCD7+zxQ9/SpW5LDT6uyVOMgdBCaITT5BYSA4mFONfddlyDmwvo8vGf27Gvix390nJ/1vJ3sufUNegkqdPjcWKJE0OtVmNpaekXrrryirs3bdpUAnx2wxZ+83/818GpMytHUqszgJd72rjS1HzQpR1j7AseyhRFVGvsv4Ldq45IydbF94UpX6uqY1LR3jJBChdY4hleOOTzJ3c36cbaBQ9Z+1mR1EFmKfnxbp2v2VDMhBypeuElRselaFFIdGEuH5Mo+dcV5p60DU3hoFTkStGv6YYDjdWRp7Kyc1u5NWE+U8UY7WrHleU7vmHAlZeEyDTNpsyn40C3KWkBcoiMA3YecCYVECdWjIO5EpCOgbh4bYtgNP83xkKSAdoNvS/BnRpLYixxtg9Pkrh68HrNIw67R37pl/7LYOeObaVEAXjjm96M79fY+9yDHHzxCTztVZbetV523ohQbScrs5JmXUkynrF0ssT9N0xF3lQzlCYbtjkO7pzpc89byQTtG5455PEjvzDDswcCrKfKbGWuv4V06V1Rau/S+16btRxrcsgBLS4E9grIC20qvrZOWSNPqqB3EkROeuNWYPJMn7CFdei0OBghsgo76Rp4rcz+O5k7ISzCSIRQGGERGNLIcO2lMb/xkyv84H8Wbh66n0uE3NoTmVyRhMXXFesw+56VWTo/t49yTS6cLleGrDliQpbkpbhFjW0pY/IBVEUZbl7zkp3qVFiiKObGnZfw+tfdwXA4An58HOBzc9P4QZ3ZGZ92PcGgMw+yYpFVwV3R22Np9jEgMxZMFgwtxoNJKexarT3xPJaiz+tLMvbWOqVn4X9+rMlTLwSkKmNrqcakSV5v4osyoTMG7PVqTuCCgWYpT9axB8mnW31tsbJmUlOepq82HGQMrSrBZTkJ1lmEebNKDmhhsrHVxjUSGOEEsBASg0KIDOzCIoxFpZYbr4z4+2/v85O/4tFLhEOHyX3wDPBSj4F8vWaHPOFjs59L485zocvzFH/le0WCKPPL84C0mvYXedY0/zvZCTIWekODFT4zM3N43qA4pQXAfV/h+97Bdss/1G7XL+n0EqSUFRsK1itpHeu6EXbd1+POiVmfydcLKHM5IqtuSQnu3DEZpPDej7X48BebhFKPA7v4Oq83ybcfGc9arqk5YbxFLQd2Dvy1AeY4GfzviPA1DQ/5c5H6cz80iGLaq7H5a1u5CWwG6MxZyQPOTIsjXNo/ta5WXGSltQIFqcUXMe963YC9xzTv/WiLfgx4FHUmZZKmBLmrMcnBb7NnZ92pgr1F+bPK99Sa71Uyn1l5bb75mbvHMvAL97nz858khlq9iRc0D3lecFCquDi3Mn/Rnt7OY48+/PnOcOYDod1EFFcucNXTrjQkrGlWmEzwXFCfVwHtgkmpygC0Cu6yGz5FimpQ6bYb6UXwu59o8p9/b4rzS37maVadEznmmnhZQZWqaO48a1nV2+uOhqgAd6wWpbgB/vdCyzVApwLuCnOPSxTGGpLzstmxPk4r15mlUtaM2yLozBJAVrsRcIlm85zlX39fl7/39j6tIHEZGes0eBGAmgSsmdDkLhkUW6fLk2wTraQSaCYTQWaaZtuWV7+Xa/A8sZNO/qwMPnNSEMJw5aWbuXTXzAcefuShz1+ye9taBgeI0gBP1u6yVn+zp/UNAlM0gBYtZGskSW4ZmjUyZc1rYStSI/83FfkhLKKQIGZMc0uRAVuUJbAyMHz8Sw1+7nfbnF3RrtZ1zA5UpeedpeP112Dt0hpkfL9LkSVQis6SKrBz4Jfh5ISbNua2TIJ1DcKp/M4aYE+yd8l2xopif0prrGNuU+64YYxECovJUvnCZPIERZqV+QqhiSPLlpmEf/39HZa6kg98ugW1hHXT7FJjjCQUuZbO/OrCQnTbDObsbSteeV4XrvLB/3JcsuTlKIh8XnlVzmTxTVZh6HkeWsmn5mebd/X7w7FTKqtfvPbOO6H7yQd2bV58bKpVduSVLF7uplDuqlCm1sdby7KhmNXa7aJWpOqelD8vKwHXB7cskjkxupZy8JTmDz/d5Mx5301wktUa73Fp4mq9K3tbVoE9mR2Udm0QKcRaHT7G6Gvye2OJuQuRu62w9Riwx35HlJZhVuAxvgU45ZDOKovnJbXVrcFNNY1fTqnN0/mpUSSRYsuGlO/6xj6X7AidZVK1ECeY3GQsPrI5k5cp/Wp6P0lLZl/L2mLNHpjlUbJ5wd6VMzSKBHuP9h77hd/81AN3vPrOsfOrJ0/4zl1uU6qjpxIGo4RW3RaNwGWLGBWbD8aDRcbZXIwHkXKM7Sf1d0V3526KqOrurM7bTzl0yuPf/eY0X368DrVqV/w4gGD8DQAAMKBJREFUe1elyVid90S2UlaYutThmRfOONirPnfunpSJn/8DmVItM1wzBCirh7IuhhNGZNupVxndsbcV5XMegIqstFYIsiBUOl7Miq0dk7s/ngqLGFled1PIz/yDVf7tb85w+Izv9Hj+HieY3CKJ8kROpsFd55EtHRTcB3DDhPLuHluU2bqjMveQcmVV1v1unjPOV9maL6g1GwQzmyZo4QIA92behVIqGqafIk4OIYQt5m+7Zt6y631ypIMQk3LEjANa5B0+lU2Vit9Ly6+/Fri9lKPnNf/+f07x4bsbRDIrdxTV4FJlrolrGB6b7T0mUTKg50Ce1OKFIF/rhVf7Div4ztj6wvtArofpyXHKVXniwl1byWiWLkt1mz0HfJEd2etcjliRlZrKIrh0n8VJFSPyoNNmzRKaFAh0wrvfMCS1gn/769McW/AdYvJ1fz2QkzFspTy2SM1nAJaynIOisiaKPBZybqTIZpKXQLci24gis1+FAG3dwM2XXbOTb3zb34qSNOVXf+ZHvzbArdxG0A5+/Ko9F111/ODJOxU9fK9SIahKvXwhjS1EFbwlsJU02U0wkdCRBimM09/CNS+4m2AC3Drl2HnFT/6PaT7yhSaRrJS/CjVxTLgmYlyarNmlONfZFXCXVqFYo6UFJZNPsnj++N/l8nFZMpnkISuVtUV3jzVZOfUY+F1CReZMaLN6cWnWAb0k96rLDp7K+04sGst3vHGAVvBTv5aBvGhKmGR0hUWR5DeuIWvGsGjp/HsLKFOC2tqsyExaTHZNyppxUWyVonKdnwPfClJjqDeazM7vuGfH9u0/jg3XnFM5+Y1tm2ssHf1cd8u83r91Pk3bjQTfM+X21/lA+bHU+niHezmjZLysVa6jxXNwl32XlVR8Bm4pE6RKOb2s+Ne/McVHvlBl7mrrWam7qwkdV29i1yRzhLTjjomckCOszWpKMRFo5vr8AqC+IMjtBKCroF7ndyxVR0Wsc5TNEGU5bemgFFnPYvRbXnqbv1Zj26TkLkuaKnQqeNc3DPmPP9Jhy2zsmnbzTOdkat+mWGtJrNPkYZbxjDP9HY9p9HGXZV2nxbjtdBLjNidOUohTCBNLb2hZHag0MrX9f/xnn+8KWVtzmvV6514ISOPOj0xPq1vSxNyYmvGy1lxXC2krAZop2FtVpIgQ6+tuIUrQi2pKPtPf4+A2pB78zieafPhz/097Xx4nx3WV+917a+numZ4ZzSppRsuMRiNZlhRvkiV5UfAanDgx4CwQ8uAlkIBJIATiFxPgJXmPECeP7AsBbPLIYzE4YOIsOCKO7XjDcrxvGknWLmsbabaeXqrqXv64S91bXSPJq+zw7u/XU9XV1d3TVV+d+u453zmnBQ2WAbctpoKkJj5RElhNSTKKwebgjmi23DQFb9Yzcjwwa54ucIJh0ZJc/p0VXmnQ2/xc8Vedu5jqUqAimsJ4U4hyXejMGML1/6w9KpKXJ5A+c2IVfvKQ4K2XzWB0p4fr/7qM2DinkVIVbcnVOUkIQZ3KTb6KwHqao0NIGqIlajoYRKwSb0jPD1eWPlGJz1T/5qDl8bFj09d0zWnNPcQ0b+PiZZdjqsKTmJ0uqo0QlKgGqn5iGqi6zZ2SJuttWoaYGoGp+894Rxxvip1TmYKbMQ7iC2y6t4ibNpVQp+4k0uXdDKDEeE20SjCbipZ9EAfozRFLJ1yf4efO5NOKrjlelBwzntWhOJY8Y8E1eUj1KCKlIyCWRqXZijvalOxzx4pbvThVooROd+NCCraCRODtl87g4vVVEG3FbUtuW3OhPCxKt5IKtYBGAjSS1JpH2spb1j1RVjtSFjtK5PuimCBK5N2sXGLYuHaJYDRJ3vnWy3IBnmvBAaB/8ELEce2mqWPbRnzsbQn9OI3/q9m25tgAnEmlnmwS4j6nDgdPLXfKwdNkYUpiMI+DegLfuaeIa7/Ujqd3hKqOoB2Ct/m3BHdI0p46uoAPsyYy2UKaTSF5ZLQnGVehJt2u+J84gLe3zQZuZxAFZF0ECCltcSeYbh9Lt3C+HQiyuDhXFIekqnWi7nSwrDQhUFJpfUkxtT3VfawcivDZD07gwxT43j0lvUvqctJuHiqs3ysDQAkBEhWT8CADNgy6gaxMQ2OEqImmpo/6HFh3WACJRzDc21254uK1N5VKBfzWLDims2xHT+88Iaqbvzi8dGBsbtcEWks1hEGMwJcRRN9L+bXHEtXcqTn9zMlyJ27Gu10Q02hLlL6EMQ7qC3z77iI+8uV2PL0ztIpkZrwmVIKbqkmlT4Wj82YZC9xsvQWa3YXND9jnMs+S2zs8z5FNcLBD9cbnrUHP3Uml4CkHt3M1HQmtZb3ttDZhWXL5Htt6a3ltas2TOsVpi2Jc//5JvOn8GUmKkySNdPKM1JbHJuzIBdAQQJUDVU5Q4wR1QaRlNhadWErF9BElFI2EohpRjNcp9hwFBoZGxm6948kv9vf3z8oGveMd9HkLRlCdOYZHd3L0d9bQiIpIEiYVX9BeB9drYp5r/p3Zh1iuQEoS9dwK25MEzOMgnsC3f1zEH3ylHU8+G8pSD9Tm21bUUgmpdC/L1GOSmVgiR3Mym/W2dd/I7GOh2eHnOZ4WR1KbBXUOuPX2ZittNYslVt0UDWquyl7bPmWh64ropSo/bEAOEEGlK1yVUSbaEqsP1jzc+Q2NGCsHI3zytyYhAHz37pLcrq25zuSh6a9R3mwIyEAPJ7Jdpa9chR4BfCGtOKXyOUUagNMHppYQTMUJ1ozEOHP1INrbOo5rOOhxX/Xn1bcf8H/jztGVFc7jNBBiZ9NoC27qAyYpJ7ctuJa8GvdfYtUysQRUjAMe8L17i7juy2148tlAFSyZZVKpuhB5ipqk3NvVd7uZ/idpvWFvd8sk2xzbvhAAkmvJZwW5FZ63NbO2Jlzv5/jBMxY75eQWF+cZLm7qF5JUJ56NfnKtIXd5uB3p5ImHpEGxajDC9e+fxM+eN5PDwfks1jwBBIcse5xGQKscmOGyTmI9AeoJ0BAk1ZzrBGUAjDTw/rd1V5b2x7/R2dFfx3HGcS34rr0xb29ftfnqy1smx3fvaimGNVBdecjxinDlcnMttmvNuetZIZqDa84tawoKRnDb/QV8+AuKlmhwN00mU96ddQkaHzedRXdiUtCEqz/JgllbZBuojuW3ePhxacnJc5amMD1m596wLLsuhKO7lEkftDCBHy6kV0SrC6EDQqqmCuEE3JSdU5abSD251nxwwQDVxIpwATSAFYsjfOa3JyEEwab7Ckig+bcAwFJOrnwmsqm9fhBj0RMis/Yj5Yr1lUX3SBocogAKlGNeuYChoZ+fXHnaos3j42P8eMfzuABfNNALwDty5Ln4atK95o7GxB0+Y9KVJLPiEyd4k4Ja0hAQa8IJuZ2YCaYwAGeKqghGcPuDIT70uTZs2ZVnue30sxTcuiKs7S1h1i3OLaCZ79/Ooyq561kzbq02eVNOBs0kQ02cylbqQWBNNO2wvaIcyFh2DtMzPo1yyv6bRBcMEhRCcHAhAE7ljVDIYBDnVBXFtPNLFXGiUhNi5E8NYMWiCJ/73Qm8PwbueLCAxA4EQV2Nphqn6tYpSAp0yHWuNe2EICZARGRqIahQbkYgSSJcesGa6OARXA3SeYSzjuMe4uNSFEJ8TI3vRKlteF9b57JnqV+A4LHUPlgTxrTXeyQfpouZTUHsh3YFxhLcjEN4BJseCPGBz7RjdGeoxFPaWud7TAy4iT2pFA4tMRw8Rx2YpSbGeiML7DxpbBbU9nF7/vNMQ1HgAl6v2FFNN8veXdcyUltoJbRiL+si5DkuRDt/k1P3ubDzOmXKG+cMvEExsiDCl39/AhevrYFpVZQjsdUuxSgTHIrUowEk8jXBEySco8GBmkqBowSIeIKe3lasX7Ps2bNWLt739OgudLWz4x7X43NwAIQw/PDOH+56eDT+9e1H1mH/4RYpvWSysLzvRfAtYHuqk4LpqkDd+txS1x2DaPlrKMH9w80hPvhn7RjdE0A4E0rbeqfgJoRYKsGs1sQN7szm+z5u5o6mMvZ2wJlI2mC2gS70fmqZC+gmHpIBtKM7sS00ARxr7XpQUuVhhptn/eC2J0VYEU4b6DaoDSdnxtNikpktkH/+QxP4mbU10Fg5rkWiZr55uZ4K3EKDvA4k+tGASCJEnKMu5PnsLye4emP7E31t266+654bd3ns+OA+zuF3x8RkDcWWcHjHlv+48ejuf7hgQc8elFtq8P06GJXKgyQROZ+mI2Tal8pTmkIEaAjsHvNw3yMBPvb1Mrbs1ODOaEscCy5R6xFZsCckwgDcI1oOa+dbas16hpdn6iwyNXu3L4q0VJ1btIcSrZ/IvqbWGbH2URcjtfa3C/rY38csARhNJ8bZknl2yY7mfFjhluxwCivZqYGupshUMbA0+q4u367kmwbsUkEcVxp9gWd2+viff1HGfzwcYveYJ6mmamXotKUzEkzrdqWtQkIAwQDqg3ohWjyBDctasWxh61vrEb/561/4o5OB7vE5uB7tbQVMHL5jW/+81i+2egMXTB56GI0EYF4MEIFiyNHdzYEEiOtUQ9u6ioSRZpqJZygwutfHp28s49Z7Cjg87klwN1lr5lhuKBCZxGGbdzdZ7GaXoO16yvV3I+tRyVAWuJa8iaYQNac6WZ4irA/V645hT0snN1EUHdBRHFvSd6ImmDChe+0C5ERxcOj4jqz/R5S114nFOhOYGHUTzGRA5nzKDyCQaj/dy4kQClHnWLYwwpc+PIFb7y3g039Vxta9PhDaLqLM7c3MrCWnJ4lAVzdHKRQQhALURy0WWLpiNa54/VpMVWbwkgIcANq6BwB0bN5zaMUt37xj31UPPDKKwJN3n+7uCJedV8PwvAjrVkZAAvCYmNuwUWWoE0lDYNs+H5/48zK+tamEWkJlEIdkr3Qb6FRRE5jEYZt3Z+ua0AzHdgRVFjhT8GeiljoRU4PW+v9tPXjWw+Lsr/9mPDEiA2QX0CmINej1RDNtSKUaOsEGvW4WK2DJvFW7PZ3xA3DlzCACMkBEVKFYBXBCZKNZ6VWRB4NwKj/X/replNiahHohQHTeZ5ygrzPGL19RRegDH/9KGdv3+UCoJgg6tcn+4bH8h9etrGNoXoTLzqujp1vJJTkHD1ah2Lnolr7epZsb9aMnC9uTBzghw/j2nbt3LR28/Hce2bWLPTAaXTk5NQOAg3kN/Pv9NfR21fHmjVW87aIqRgZjBESAx86HgPrA9n0ePva1Mr7170XUYIN7Nl+3qxAMNB2xwU3dyWUeoLNlIJr4NyzrDRf0tjS2WYhlqQkznpUTDSfYk7HiKbBhDF+24qxJWVPJDCn/TkEO6ApY0lUoqAQkoMojq0pmhMoGs3od2rVIdX0HOAKsFOwwCRWmrFstQehzXH1JFRDAx77Wimf3+xJxur4bARDL4NzIkghvu6iKN2+soncOR28rA2Gemht0QIR9txbmnvc7wM7dhKw4aYCfmKVb4++/8Tmcu/GyiXNWD6zave/IBfuOTYO1lBALYLoicHCM4sEnAtz7SIBdhxgG53N0zVFRLEJAQ4KdBzz88VfKuHlTEXVQVa87B9xOho58v05e0InDnubeNOXLOmvH7mBme1Ka+s1bBTRJZjshNl9u5uGEkBTomnPri4IS6wLJrruh/jyvjLtNrtC817PeHms7zGek/EperLamyNpf3absO47pgmy9pnXzpj2gVpdZtzytcwmowPIlCXq6OB560sPEBE395LHA0IIIv/dLFXzoXdO46sIZLOjmKPoeqrUSJibLqMww0MIQ/LYr/jmp7vhnr7j++UD25C24HiOLe7F8eP71jzy2Y8iPp9++Zf8UDjco6j4BOMVMAvxka4gntnp4equPD/ziNDasjkAZ8NAjPr52cwn/tKkou31pkQihmYdFVxS4GYEpljlbKD6/eI86IXk1T5r4ebqensx8QJnXkTm3GhR6/ThmfBamAtPMPUtTkAn66LC7bcVp1vsCyH73SAM9qt2J4dKEOKUhiOr6QChR+0h/OKVccX6qyD0FAQen1EhmCRGGRjFIp0nocbz90hrAga/eXMLDT/tgDFh3doTf/qUKLl9XQygERALEde2dYTg6UUad92Jh5+k3BW1nXI9oz/OF6wuRBQFfvPF78IqdpfEdP7qtFu85/7lj+/CN74eIhLohcFluwEOCcsDxkV+bRme7wEe/0oJjkwwRjFtglsmklTRMqRFR6YCOtN4S3EYtqL0mphiR7Q3JeE0IcrwhrkXXLkJmW3JKjPuQKnEXyVh3YjwnejvJ2Ud/rhtZNdtoeheyn+d1qssuGZMgc2vRwKw7zb7sqr6m7LVuG+Pmy8rn3NqeWN4VnUObmHUTnaaJjHJTgggE49MM1325FV0dHNe9p4Kyz8EERxJLUAMEXHD81Xfn4LlDgxgaWHj3e/77mssP75+Y6V38888bq8/bggPAb7/7CuzZ9egMNryhMb3/r/D9+2ZASQkgAewwRdzgiBoEh45RbNlNcPQoRexZJjPNhkQ6sdQURT4nkDwqG4p3QGwnLRDXUtsZ83lekxN5U2D4trIIttVGSgv0G81+J7AeNuU28y61NBFOa7ux2DYPJ3pbatW56i+prbMWTqWTTaSTUF20R3NrChCV3c+1oM7yi5uOC5QbbwoRQnZcprpEs5AlIKxKAHIfmbbW2cmxblWEiSkCP5C1LnmNKL+6L/38JMITuyie3NmBK654Q+O+h8nMhnMvfiFQfWEAB4CBhYsgBH/gzp1r13/2lnqxrvUiIlFnLcbwvARXvn4G1/5qBQ884ePmHxUwWbFOv+2yICqMawRU0oTqvEoX3CKHjtipaHqZrVaVlcySdF/9msVBmyKbGU5sB39s1DZRljykZ12CFqiNx4SIdDtsymFl9MCiL8TynOh5oZqMppPNVHmYAtielKoXdAsRpTaUYX2iSrlRJb2QwJceFWrpX4S68NRScGN8pscJbvlRiM1P+CAMeMvrq1jSxcEjD40oBOcMlAb4yDsINu9fUV00OPQAJSeMR846XvA7CenAzgPFj3bOu/LzrxtZWfOJh9YwQOiHgPCwbkUNX/roMXzymin0lhOcd2YDl69tABEypk3bOisIoJYUctLoEzfs3lTyWFt0+znNE1fZS5J+HdGSzGxxTbeTmjN5s4EO97UTgtsGtfWWZpGVqzLMRjY5z+ZgpmB2a6LAhOtN9o8V0k9rpmD2zB8rZK95eBr5TLdnH+bXCQL4Arc9EOLehwMcnvLw0a+24f2f7MD9T/kglKFWL2G62oJK1UdYOrP2Cz970ecH+sRH+/ta8ULH8/KiZMcX/uxPxPJV5/64peCxRr2+vphMsxZfYGTxFD75a0dwyTkNeETengoB0NUG3L45xOQMU4Qz7VPpKASpVSiT2gkMmV5AhlcLl7bk8G2T9GBxbJeLuxZdc2YTsiek2eprHk4zyxyvSfMyhwohXea5JvUFk92WTojtnu7mlfTzzXeQ5u8kmf/DuvKc95PMNp2VT2C8LU1qUiozs/aOMfzhn5cxujuAYBRJ4mP7vgJG94cYmk9BxRxMThdRbu9tIFh6/eT4kf/V3nVWjBcxXjBF0ePwZKPR2tH1qXNPn24c3T/ziXKpRi9cw3DmkiKqFQJGG1KfQjlGhiOsGomw924/880ZLwokUEz4HW7XM7fkgx3kyY9gZmlJfufibHqaDULSBIA0fS2bUZ8pJXGCYaSvioYQm3/DpSZEUxcIk2hMIRzvis410CUbpFdDteJTh5pyYSojE8i221yfB8jyeVCBIf09MnJJ1MWkCgqBgFOVMGGVaiYmMqArcQHEBx7b4mN0mw9OlErU8wFSwP2jnfjSP0XYuKKAgXmtvK173ieGF7Z+9tj4ROPF4vNFA/xPfv8d+MEPbquyZStumZ5o/3j16H1Y1u9hplYCwBEGHFxwUCFLT7SEtnxXUxOLhyvgOK1FqGWhM7w76+6zExgstmN803nVrJrdhqTJaqlTm1ITZC8EYn7RCxnE5tpaVaiuEjtU71wUap80oin/Pwl0omqCE4AKUGuCqb9Py2rNFcXlBcG1XhwwNcIlH9cVsqCe64tJhtTtOiyCcCMM0werUqdIIj2/Ut4yFiAICti6K4CoJnjn1WeIab7glrsfqVUvuPCSFwvPFw9wABgeWoiYzNsaonANapNf45XbKSGxFU6W3QZ6ihy/cHEN33+ghErDS7/duCmk9U6z4q2JJUWTFLbZ5ZcDeNtyZ4Ds8HFzMZDMPs0hfIdvZy5XfTJNgOUkhsZdZq7aZMV1oFAQVSoZUF2PhQGt0YlDAZamIDfhear7/Sj8qsQIAbWvhDRMXSCjdyGqZryqfW7S4KiVCid15kJQCK14oQTTkwQ3/7CIQ1XFH61f20g4DleBK1av4d19S65ZffrSrU9vP/BSQPOFTzLtMTR8Ghb27m0sHFp7w0Pb49/bfqgTHq0jDBrwPVmrmXMKxgjm96i0NKMptT0oaU0Tx2OCZsBqD4npjJYnrMp5Phv9yCsbYUOUZEBraIoNbjPpnBX6TaDOWmUnhc3sR8xk0+xjBX+0fFZPOrnRf9syWj2BBGz5bK6E1ujC02JBeZLbJo25mWhaE051QOKE4MBhBp4oFzAEaBKBRQ1E9QgXry9iwxmV37to45ob7nv8cGPl6ae9JAB/SSw4ABTKK7Fjz77kjLN+eXsY3T21c8fflZ956CBetyTBsn4g4RQsjtDVxrF8YYIHnrLBrdetTHikSsGs9Z5NSJX33KYm2RA5td19xJo0Nq03P8wEUNMTaxJ4YninCDYeMB24zPBv/X6LXSgXIAGIMB21ZUxRyC4J1PaZy+1E6NclDVFzQgN8qZoiFn+HstDC8HFC9UVDFT9Pk5m1D1zXP6SCQje0pQTYspthbNIDqA9QH0wkWL5gCssWTeFAZQl+duNlUz/3ptXbZ6b3JOevGXmpYPnSARwASsVW9HYduhVY91s/epx//jPfvKvzHRftRO+bqigECSitYHigjjduqOOBx8vIhuYprOZQNC23NlvBHie3ModLaxDnce40wpj6v2cDd8rJ83M1nW3ArBRmVpxb/nMH3MQGuu4VaXXXU9QjjeloMCuQwubfIn2dy4l2GgxSFEVPPm1qosPxUBeykcoqTxGoadLAVTFPXY+cUyqB7gHfuTfEtj0+4PkgXgvKHscbzmngQ7/Ugklv49F6sP6D/3pP5dYr175wl+DLDvC+7nYAwN6DU9+85PzLPC8uXT/+3J09ew/uQX/POIKgjiiOMD5ly2J1Y9aczmd5GTk0C3bRZLkNaHO8JQ5wM+6+LFhtcKd+gcy65fwm5q96btEVG+8mYmmB26wKa14mUqstXyfWX41NF/i6XBtAlLeEGABzpGB3G0ylHpYUwGl7HqL14Zqf6wknpyDK1UIEkdoUIpSyURiQgzPMaeUohEAj9hH6AfrbOUJvOSp04+Hlp63/H0ga3zxjuOclBbf+SS/5GOgrozWI//rKy8+7bv05I4fLxQi+n4AS4Nm9DLdtLqicS99Yb0akz9ujVpQSlnW213OATzLbdWvsXBrjeFMyVCSPd9tBHufh5mrmjhNYcpHzxK1mBSvQgyZeLXjmubUP18kPPOXlmoNr12FT4Xzu8upssaCmz8gudQk43aowYYgjisvWRhgakFHuKOKYqQNzepcdnr94w3WTk+KvidfxckDx5QE4ALS0tqJy+F9vmNdLr/VLxaNjEzVQKjBZp9h9OAS8AKABCGXwqKxpktV4N3ViaHo01zkh1LW8WR6tKYsdvGmy1tZF0OwfT603NcC2iL1FXWC/lgNsx3OSO7m0wvB63crHtOufmBopTnRzFpCbiyKNejpJyCZZOY2ENuVsalDbNVas/j9JwpAkHuLERxSFGOgWaAsTgANd5QpOW9Z+NKala7/6N5tuaG9/aWnJKwJwAOhZ/A5U2Oq/JZ2/cbjC16AyI3D/kyHqSQnwi2DMQ8gIitSuBNtcATavaE8TVXFes8DtXADEcre/cHDrXEuJ35wKWJjdqjcV28z6tzPbBdJM+RTopNlq8xT4eSBPG1ZZgBap14Vbn+Hso9ed5GW7yRXNLKVwKuYMUeyhEQeoNQpgJMC5K+to82JcvnbB1MXrOz/Q2rL7b6695i0vJwRfWg6eN8qdK+Mkid8TJg8OVuKDf3nfYwcKSdKKthKDr2fzgFUq1wI1ml2AzNonb9JJCXFqETaF4TNS1+dtuTMeE2OwHctNnMXzGhlviv4c7QM3n6u9I/bXcGKKoWqloPFG5zVuVeosQkka9FHiKVm5E8aDkobnJO8mVFltyLLLOrDDldZcprlRWQ028tDdwXHmyAzWnzO/1tu16NeWzO/41t6DVY6XebzsAO9qJULMfPIeLGH333b7kqrfOvf/zSkeK/SVOBoJQS0GEsV7KUQuqO3gDskA2uXeGeBmNN8kd58870mqB0fGcrvRzRThdpTT0YjAugCyw4peulnl8rn+HA103YrSRrpQx80gheuglTA9K83rKgCkgzmpa9CKdKr0Ne0yNIWpjNrQrTdODGVKS8fpFilcEDRiD1HEEMfA6uVLaleh85d/87OLbtk3uTP5h8+85+WG34sTW53s+Pif/BBR+y+K+vyuZ7yJji2Dvd4b/WTCn64TzERU9fdJwZsmL8CUTfBUSQUvm7xgUtOIC3ob4NakUtOXLLgpJer7Uveh9J+7+2fB7YBaA10beWKvu/tazpcmMZUBenYb0ucu01ETY+11sb9Q/x/IrNt3oqzSC83Xo32nIOrumsYZbHGV3FtA3k2mKj627y2DBMtmursX/sollxz+1nsvneLvfsc1rwT0XhmAA8CPb/s2Ljr7avzxB449FVf7d6wcrl/yzP5jhd2HGAqeq5qjSJWCjMp6IVkVoZuFQzJqwecPbpuW6AmoE/antkclteTZgI/jC7cugtkATkguHpvnqiccxPqbmfwCDsidZGn7S2Gt58whUgDDOTYa5FTrWtSjEEQY3cvxyK6RiVLL4Psu+JX4prf/TD+GTn/vKwW7Vw7gALDp+9/C+nXvwsUXjj2xcH7b/ogsuHDvvmqpWq0iEQyxyiahNE0k9mgG7NnE4Txw63VrsslywJ1eAKm8VScOp8EgS/pqWWfneQ64YYEnF+DWtqwVT9+ULm3LnudadN+U2TaLJUcTuG1UWxdx9uOs/0lP+D3VM1VmUBE0GgBYN3hxzdi2sd4P7puK//Y9byzi0je885WE3AsWv73oMXZkHEHgvfumW+/91D/ecnvPlucmcWjKQyEgaPMFSp5A6Al4TLrM0zbiNj2ZHdy2ctDh4BaVkRNPl4OnVomYk5i1xHJhW7lmq+wA3AEymd16Z614dj9rn+xrTUEsK9HaydvMy+U063YP0WzlLC7vnlYrSd2ULPBjhH6MQtBAIWzg4NEAtagfC4cvPdwxd+NHhIhvLJY6TgnOXvZJ5myjq7sDE1OVG9/25vPJQDf+9LEn/7nnhu8dwq7DPWj1acq9M56VVJ+ikwxytCfkJMBNCZwkBrUdWavsAItY6+62JnADzva8oXXgOnpplkgnlllvihMMUu/RINeRUFnSREYy0yZRBKlwheiuTjJfk1tRS6q0KRTphBOAEMq7YuiNQJJY2nAiEIY1PHtgGv/24HK85dIrDncPnH8dBG70go5TBbNTB3AAaC+3QIjqDZdfui6+4JzK5zj57pyP35iAgiBgAj5zJ5UpPWmuY2KsGE0BbaelzQruJregmx1j60FSy5miNktdDbhzOKwemXRMJ0SfBblTCEpYTpbMhWG7NHWTVfPPWR4ViHRdJgNLuS2FTmIQygND3ARnSiBj+FKbAkKNRIASWdY48BI8sH0JOub9wrGe/rUfPjqO/9vbUzqVEDu1AAcAQooQov7NsP2Co6ct27vkHVeWP33fj//DL/oEgUcMGNIJJzEUxY1QInXvEYuuGF5t+8CtEg4WwA01yVAJ21LO/jvkjg7+MxzcDFt/YgHYATnS77ODQ+atWrMirAvPupPpuZ6W2+piP9DaFKMFh/kgAkg1otqfEBfkEPJ2QCANh0gIkoSiEQEEDCheHPX2hdeuP3ft9mKp5bvdHa/oFC//vJzqf0CPOx7cip65fcHok0//6pant3z14YceJRNTNVptyP8y9ADfI/B0OqfNUdUBJ8jRm5gcTKLuBMTZlu6bseBABtEid9XmMA6dIZldNBitF3IcF+n7T3C8sm5zNyilYgZNrlS7upddqTbl4fI4Cqd0NFRATrZzFwh8WZYNAKarDIIU+ZLh08Xc/qFruuYNfqM6OdYota8+1ZByT8+rYTzy6FMolYrFrdv3LNizc8tbn9x+8H/f+ZN9KPoUHSWgGBL4nlL+WUo7x7NhWXLmAJ2AGutPkFesx7gHs0fG+q7UmrooPyG41VtI5jZwsiC3v1bYy5xjYKspnRLRVlzBLAlU0R/pBswCW36nmmdQgcATKIUx2lrrIKjiaHUJ4C3+w5WnD/9T+5yBPVGjVu3rX3aqoWTGy6pFeb7jjNetwMjSwSqisdH3ve+yT7V0z/3EkuHBhDEflAgUA4JiQBD4BIyRnMnlLA+LcxMb3EyuM6YeVD3sdZruby4iADYPyQO3ZglwANxsTxz6IXKADCvSaWlTEiFlqYl+JCJtf524S64eZt0SWtl6FiDT4EoJqeKEoNYgmKlRzNQIGhHg+wyLBhckZ76u/RN/+Z3/9qlnth0d7exZ9KoCN/AK+8FPdvzd39+EeuuZ4lPXvvuOH9z6d2HgkbW1yoRXLnIUQwpKCJJEGP5qT+ocD4qmIzZY1YVhgMyoA+ysFNe+K9hDApg0W1xrmYbw0z2FQnQT2LPuv5zjoiPpXDedEirBmLspbzqNzfl44+WxL9ZMIof946xlnEhwT0wBUeKhc04bFi9dV5+/5G2fmdN38R89+P1ucfqZ7zrVsMkdryqKkh1jxybB4wSEkj/dsWPH+vvv2URDr7r+8S0HvT0HqbLk7o8w9CQLbDNBtcFMwCh1IqNOGN2yZqn1E6pzsNrB9prkuA+zQ6B5xpjnasx6cGCUgQDn0nproNsfaXeaMBNyFQ32MlFhqrxUcvKe0hQz6QVkAIdxbN0dY7LeGfd0ttx31Zsv5wsWLLoPQlxHGEMQtp1qqMw6XtUAt8ee0X9BMQzLR46N/8V3f7ztbf+6aZx2FatoLfkAgCSR+Yl6IsmYC2hKCTxGcix3etJN0EMdGQPuRDX05en3QHU3s4M62QCRPVJJbMo9su7CvKJA5v2Q7r+EC8SakiS6NBrMd2qAu7/ZBbjHFKB1ggmTQNaTUMGBWKXUF/wGBgcEnjnYySdqy/6ReR3vhahPfeDXrzrVkDipccrdhCc7Foz8HA4cenJqcd/IB9ZFi7ftPfzEylY2edWB/TuRcIoZ1Q5Uds5Vlhw5+Zg0nXgy54S7EgAdYOFcVpvTVlwoCwrA8owgfY7MXQCWK9Di0fIFmHxG2/eXJ8QSIg3GCC6QJBxxrC25PbkWYJRAMAJPUCTqgwiRbW/SnplpDRSqrhBKgcCXt6epcY7KjMDyZYPo6vNuuWDp6icituALVFSnlg2dfAH6Uz1eMxbcHrv37EFra8uip57e+vnxQ1uvunPz47j7oXG0hQwdZYbQl94WbcGpRUs8RuB5VC4VuM3DSz0MVN2mk4Sg3iCo1oFqXSCKOTjX1psgrZRluR0N/7ZKQ5gJols009Aci+vrfFTbI6LvJo1IoFbnqDUSNCIum38htd76juV5+vfKch0+I/C89Lc6NIVJ70ghFCgX6wj8Ckb3daCjZw3Oed3SWwYWDn+wWq3s6pvbf6pP/fMer0mAA8Chw0dBqD8sqttWb903/Tvfu33LhU8/uQWMT6Ol5CPwKDxP04X0pPsehccofH2yPcD3gMATCgDC6F5k4ixQrTMcnSKYmJKg0haZNvF5V2uuEe603VYWVxguL4yuJa0dTpqUlNqK1yNgYjrGxFSEal0n+KbRXU9dxL76/R6j1u+Wv9XzJF3R/6fHBHxPIPAaGJgbon/hEOps5K6Jma4vbDhn8LF6I95WLs851af8BY3XDEXJjt6eTgDYJoTY1tOPJ/YfiOdduPa0rz/99Jbhnzz0OPM8gdCniBKOJBZWaQjJz6lFT3xPwPeBwONy3eOKtnB4VKDWSHBknOLYJAcgUiB50qOjSz0Q2/JaANflGRJjuVNqAZFaYEACVVifxSjMhecxoEUAlarAkQmORsTNxeAxAc9LXX8gHITILHfCAZoI879qQVWSENQaAoHP0d5KsGjw7GTBouFtPqu9r3/o9c8BGM1zbb6WxmsW4HqoEzA6NjY2miTJ5aViof+8dWff/MRj97UdPLiv5bHRcTAQlFuYtOQstY5UJVL4TLbZCAMO3+cIPY7A5wiDBO2tdSSiih8+WsLovhLmzREoBBShLy08UxpoN5hi6UIETOMmXRtQ+685T6M2hJpedCbfkxB5EQaeQCGQ7RrndtVRFzO49ScBWOJhTokj9IDAJ/CVZwWCgFCZSEK5zOCJFdA9TkCJQLnEIUQdlbFWdHQPVS68ZMMkEdHV7XMW7iOU7XqtA1uP1zzA9ejq6kKc8F3n9/TsOXqscvpAn1g3Npn8JbtzS7xr27ZOEU+Ww4Ai8JSM1MhpdfhZIAw4Qj9BGHAUghilQoTujils3jaDu7cUwOpAW0GAEA5GKTyWcnFie2RU9hEACWgKkERPUqX3I040GOVuhAswJgvpCC5MIU1G5R0mDDhaSzHayzVsWHkE33+4BQ8/0w1KKFoCrgI+UB0V5P/AmTC0SHAOnhBQwtDhU8yb2zE1ODj/aOQt9yYqxV+fO2/x/UHYOgEITl5EwflX2/ipATgAeIwCAI+qe495HXNvq/GJkWs//ff1J//tc7//2KMPvWt8bHeUxLXljUZUqNdm0GgQ+B7gexyFMEGpEKMQJAh8qXEuFRtoKc5g9yGO0b0BlnUDjRiIYyDxU15NlEfGcFzlggNgKAohRL6Py4lqnKQBGgKklaYgddlcSQqJqonue/Lio4Rj6fwYg30zuPOxBJMNBgJJTWJlwaVuhCMMGBgTiGOOlpYSKPNqreWWZ4aXDfnnnH3WN7dtfuf/mbvqhtArdtd27J3ky4fLp/oUvvSYONX/wMsx/OIAID1wM9ue3QXP8z7NGPv0yMhyViqVvtpo1Eb2791x/pbthxlIA8VCDa2FGZSKHMUC4NEEhHIwmoCxGL5P4DNq6IUOtggIB9yBDwS+UPmjafRFAAh96XI8OslRqXIT0TS0hEheLwEu6YYQVnk5Q30E4oQhjgUSzhEnHhoJQcwBLyKoRzFmqhxzvQDFQoCBeS3wC13JgoWL7i4Vi6OVSuUaSnniBwUsPfcm0d27cOZUn6+Xc/xUAtwew0OLgBRHcbUy/t5CIZhz4OCqT07Vbw/i2nPJQH/5rM62lrOTxiFUZo5I7ooyanUPScJAKUHAKHzLMht9tvLQBD5QCAQKgZyoEpIW5GFUoFxKUCg28Mh2gqkpgnJRBqL0xUII4DNZX4QSjsCn1uRVqIuLII5lQR3OZT/6kCWIY6AmGggYB/HaMb+/G51t5CddnclDpy1fzM44e2OjpbXzD+K4cayrs+NUn5JXdPzUAzw7ii0dAHAMwG8CwPhz3wNALhSiflnSmLl613NHl9WiaYxuO4gFnQLt5UnM1OqgSYQCYwgsz4kGoMeAMBBoKXAUCwlCj4MygShmmKh48JhA75wa/OIEDkyVMDNZREsoefJ0VXJySuQdgAvpGQkTDgFmJqtcENQjhkqVoTID8CRCi8+xZF4BQwMJ5g2OoLXUgkqla0vbnJabWwvhD4QQd11x5cZTfchP6fgvB/Ds6Jh3BQDcFTfG7iLAj+NSbcn+Q4f5Q89+my8b7BmMiis+Uol34dIN3QgaB9GojqNSE6jVAY8GaCkyMEpQDDjmtDXQVpJ9ITvKM3hse4iDY+2Y20XgMQ7fayBKQsRcej16On3U0MBTO4CuEgDB0VqUFrtYoICg8GiCgNWRxALPTTJQ1gWvZQBv+ZkJLF+xGpVj1U+tHdm2Y/3G82lY7KNTM6XtAG5bMO+16bd+qcd/eYDr4QVdAHCbfi6SfQANO57dufc+GpRw5opStGLRit/1GC4dn47RaMR47NFH4NM6ikUP3Z0RCsUqntodYWGPwDN7JvEvd7ZjQWcNoeeh1uCI4xhRHEEkMULfQ383x7mrx/EvXoSDBzpw2pDA/qMhYh7CD3yEIUNnVwmrVq0CFxTjFR/FgGwqlMc+t+GsCf90/jokbMldRFTH++Z2n+pD+Koc/x/gswzC+gFgHMC3AeDgwYMA8IzgvG+mnvBarYEdz25DXE/g+T6KBQ4hqlG566KPtXVPv2nr+Hg0NFjCYJ+H+XMDtHdVURCTOH9NAaJewMgCH4vmEgwNTCIoz2DLzrn+2lXF7/zZN+7+WNFv9X3Pg+cxlFpaMG/BChDiY06dUd9jByGwo7ev71QfotfE+Onw5r9Kxr/ffj8A0tde2Nf+0PZJcfRoiL4Oir5OH0P9dUSigk0/CYAoxOK5HuZ2AXO7ZnDg2Ay27+0jG86aP8E5Do6sWHuqf8pPzfhPo0ei271EPlgAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTk6Mjc6NTMrMDA6MDCawnhGAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE5OjI3OjUzKzAwOjAw65/A+gAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 203009000
{'hecke_orbit_code': 40532396679890046, 'n': 1, 'trace_an': 2}
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id: 203009001
{'hecke_orbit_code': 40532396679890046, 'n': 2, 'trace_an': -2}
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id: 203009002
{'hecke_orbit_code': 40532396679890046, 'n': 3, 'trace_an': -1}
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id: 203009003
{'hecke_orbit_code': 40532396679890046, 'n': 4, 'trace_an': 2}
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