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mf_newforms • Show schema
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{'Nk2': 14400, 'analytic_conductor': 43.596842297647505, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 20, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': -1, 'char_values': [1600, 2, [1151, 901, 577], [1, 2, 1]], 'cm_discs': [], 'conrey_index': 1599, 'dim': 4, 'field_disc': 400, 'field_disc_factorization': [[2, 4], [5, 2]], 'field_poly': [1, 0, 3, 0, 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, [-4, -2, 1]], [7, [-4, -2, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036477360375360, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 20, 4, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1600.3.h.k', 'level': 1600, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '160.3.b.b', 'nf_label': '4.0.400.1', 'prim_orbit_index': 4, 'qexp_display': 'q+(1-\\beta _{3})q^{3}+(1-\\beta _{3})q^{7}+(-3-2\\beta _{3})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '2.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1600.3.h', 'trace_display': [0, 4, 0, 4], 'trace_hash': 570147773507509903, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.648', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.344', 'prec': 17}, {'__RealLiteral__': 0, 'data': '68.229', 'prec': 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mf_hecke_nf • Show schema
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'char_orbit_index': 8, 'field_poly': [1, 0, 3, 0, 1], 'hecke_orbit_code': 45036477360375360, 'hecke_ring_character_values': [[1151, [-1, 0, 0, 0]], [901, [1, 0, 0, 0]], [577, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 4, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, -1, 1, 0], [-3, 0, 0, 1], [0, 2, -1, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 4, 0, 2], [0, 8, 0, 2], [3, 0, 2, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1600.3.h.k', 'level': 1600, 'maxp': 1999, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 14400, 'analytic_conductor': 43.596842297647505, 'char_conductor': 20, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': -1, 'char_values': [1600, 2, [1151, 901, 577], [1, 2, 1]], 'conrey_index': 1599, 'cusp_dim': 444, 'dim': 70, 'eis_dim': 72, 'eis_new_dim': 4, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 481086670400, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], 'label': '1600.3.h', 'level': 1600, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 516, 'mf_new_dim': 74, 'num_forms': 16, 'prim_orbit_index': 4, 'relative_dim': 70, 'sturm_bound': 720, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [70, 0, 0, 0, 0, 0, 0, 0, 202, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, 410, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 454, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 484, 0, 0, 0, 0, 0, 0, 0, 444, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -234, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -448, 0, 0, 0, 0, 0, 0, 0, -1186, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1340, 0, 0, 0, 0, 0, 0, 0, -1440, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 736, 0, 0, 0, 0, 0, 0, 0, -928, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -920, 0, 0, 0, 0, 0, 0, 0, -1412, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -692, 0, 0, 0, 0, 0, 0, 0, 544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3844, 0, 0, 0, 0, 0, 0, 0, 2332, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 300, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 3936, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 832, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2688, 0, 0, 0, 0, 0, 0, 0, -1860, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1418, 0, 0, 0, 0, 0, 0, 0, 3028, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3008, 0, 0, 0, 0, 0, 0, 0, -1860, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 652, 0, 0, 0, 0, 0, 0, 0, -1100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -828, 0, 0, 0, 0, 0, 0, 0, 7776, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2006, 0, 0, 0, 0, 0, 0, 0, 3572, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2204, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1112, 0, 0, 0, 0, 0, 0, 0, -2208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 544, 0, 0, 0, 0, 0, 0, 0, -6884, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1972, 0, 0, 0, 0, 0, 0, 0, -2470, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 932, 0, 0, 0, 0, 0, 0, 0, -5252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3712, 0, 0, 0, 0, 0, 0, 0, -1676, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3104, 0, 0, 0, 0, 0, 0, 0, 5952, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2772, 0, 0, 0, 0, 0, 0, 0, -1984, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4224, 0, 0, 0, 0, 0, 0, 0, 1304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2420, 0, 0, 0, 0, 0, 0, 0, 2656, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3548, 0, 0, 0, 0, 0, 0, 0, -17664, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2784, 0, 0, 0, 0, 0, 0, 0, 1576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3652, 0, 0, 0, 0, 0, 0, 0, -6020, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5056, 0, 0, 0, 0, 0, 0, 0, 1162, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2976, 0, 0, 0, 0, 0, 0, 0, 15328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -244, 0, 0, 0, 0, 0, 0, 0, 3700, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9248, 0, 0, 0, 0, 0, 0, 0, 7680, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -724, 0, 0, 0, 0, 0, 0, 0, -2988, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8644, 0, 0, 0, 0, 0, 0, 0, -12996, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6626, 0, 0, 0, 0, 0, 0, 0, -4928, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10528, 0, 0, 0, 0, 0, 0, 0, -3552, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4724, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 28060, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6208, 0, 0, 0, 0, 0, 0, 0, -332, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7356, 0, 0, 0, 0, 0, 0, 0, 9112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3526, 0, 0, 0, 0, 0, 0, 0, 2656, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, -13056, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 772403
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '160.3.b.b', 'target_level': 160, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 3}
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id: 772404
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '160.3.b.b', 'target_level': 160, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 772405
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '320.3.b.d', 'target_level': 320, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 772406
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '320.3.b.d', 'target_level': 320, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 772407
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '800.3.b.g', 'target_level': 800, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 3}
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id: 772408
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '800.3.b.g', 'target_level': 800, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 772409
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '800.3.h.e', 'target_level': 800, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 772410
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '800.3.h.e', 'target_level': 800, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 772411
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '800.3.h.h', 'target_level': 800, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 772412
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '800.3.h.h', 'target_level': 800, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 772413
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1280.3.g.b', 'target_level': 1280, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '80.i', 'twisting_char_orbit': 9, 'weight': 3}
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id: 772414
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1280.3.g.b', 'target_level': 1280, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '80.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 772415
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1280.3.g.c', 'target_level': 1280, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '80.s', 'twisting_char_orbit': 19, 'weight': 3}
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id: 772416
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1280.3.g.c', 'target_level': 1280, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '80.t', 'twisting_char_orbit': 20, 'weight': 3}
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id: 772417
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1440.3.e.a', 'target_level': 1440, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 3}
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id: 772418
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1440.3.e.a', 'target_level': 1440, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 3}
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id: 772419
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1600.3.b.u', 'target_level': 1600, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 772420
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1600.3.b.u', 'target_level': 1600, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 772421
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1600.3.h.f', 'target_level': 1600, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 772422
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1600.3.h.f', 'target_level': 1600, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 772423
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1600.3.h.k', 'target_level': 1600, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 772424
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1600.3.h.k', 'target_level': 1600, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 772425
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2880.3.e.h', 'target_level': 2880, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 772426
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1600.3.h.k', 'source_level': 1600, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2880.3.e.h', 'target_level': 2880, 'twist_class_label': '160.3.b.b', 'twist_class_level': 160, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2071875
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45036477360375360, 'p': 2}
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id: 2071876
{'charpoly_factorization': [[[-4, -2, 1], 2]], 'hecke_orbit_code': 45036477360375360, 'p': 3}
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id: 2071877
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45036477360375360, 'p': 5}
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id: 2071878
{'charpoly_factorization': [[[-4, -2, 1], 2]], 'hecke_orbit_code': 45036477360375360, 'p': 7}
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id: 2071879
{'charpoly_factorization': [[[30976, 0, 368, 0, 1], 1]], 'hecke_orbit_code': 45036477360375360, 'p': 11}
-
id: 2071880
{'charpoly_factorization': [[[13456, 0, 488, 0, 1], 1]], 'hecke_orbit_code': 45036477360375360, 'p': 13}
-
id: 2071881
{'charpoly_factorization': [[[5776, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 45036477360375360, 'p': 17}
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id: 2071882
{'charpoly_factorization': [[[30976, 0, 928, 0, 1], 1]], 'hecke_orbit_code': 45036477360375360, 'p': 19}
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id: 2071883
{'charpoly_factorization': [[[-404, -2, 1], 2]], 'hecke_orbit_code': 45036477360375360, 'p': 23}
-
id: 2071884
{'charpoly_factorization': [[[820, -60, 1], 2]], 'hecke_orbit_code': 45036477360375360, 'p': 29}
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id: 2071885
{'charpoly_factorization': [[[774400, 0, 1840, 0, 1], 1]], 'hecke_orbit_code': 45036477360375360, 'p': 31}
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id: 2071886
{'charpoly_factorization': [[[698896, 0, 2248, 0, 1], 1]], 'hecke_orbit_code': 45036477360375360, 'p': 37}
-
id: 2071887
{'charpoly_factorization': [[[-3380, 0, 1], 2]], 'hecke_orbit_code': 45036477360375360, 'p': 41}
-
id: 2071888
{'charpoly_factorization': [[[4220, -130, 1], 2]], 'hecke_orbit_code': 45036477360375360, 'p': 43}
-
id: 2071889
{'charpoly_factorization': [[[-1364, -42, 1], 2]], 'hecke_orbit_code': 45036477360375360, 'p': 47}
-
id: 2071890
{'charpoly_factorization': [[[3168400, 0, 9960, 0, 1], 1]], 'hecke_orbit_code': 45036477360375360, 'p': 53}
-
id: 2071891
{'charpoly_factorization': [[[4393216, 0, 12192, 0, 1], 1]], 'hecke_orbit_code': 45036477360375360, 'p': 59}
-
id: 2071892
{'charpoly_factorization': [[[-116, -96, 1], 2]], 'hecke_orbit_code': 45036477360375360, 'p': 61}
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id: 2071893
{'charpoly_factorization': [[[-356, -66, 1], 2]], 'hecke_orbit_code': 45036477360375360, 'p': 67}
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id: 2071894
{'charpoly_factorization': [[[11182336, 0, 8688, 0, 1], 1]], 'hecke_orbit_code': 45036477360375360, 'p': 71}
-
id: 2071895
{'charpoly_factorization': [[[1752976, 0, 5352, 0, 1], 1]], 'hecke_orbit_code': 45036477360375360, 'p': 73}
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id: 2071896
{'charpoly_factorization': [[[20647936, 0, 16832, 0, 1], 1]], 'hecke_orbit_code': 45036477360375360, 'p': 79}
-
id: 2071897
{'charpoly_factorization': [[[20780, -290, 1], 2]], 'hecke_orbit_code': 45036477360375360, 'p': 83}
-
id: 2071898
{'charpoly_factorization': [[[5444, 164, 1], 2]], 'hecke_orbit_code': 45036477360375360, 'p': 89}
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id: 2071899
{'charpoly_factorization': [[[117592336, 0, 24392, 0, 1], 1]], 'hecke_orbit_code': 45036477360375360, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 11, 'label': '1600.3.h.k', 'level': 1600, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHEhsW6UbzSQAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7P13vGzXXd8Pv9dau0w9/dxzu66uylW1uiVbtlxwCw7Y4ILB9BoIJOF5fqEkEAhPiLEDIaE4ENu4AAb3hpss2bIky+q93N7bOffU6but9ftj7TZzjoQh5BEmmZfHM3PO1ZmZvT/7sz7fz7cswf+9/YPdPv65u5BSzD2x//i4SYzZOu3iuZKHjnS45QVT4qbLGkt3PpywdXp5+rpLT5nH9m+j4knmpns06onQ8qI1MPPTW18KsAVYBfpCiOf7q33b3pzn+wN8u9wOHj0LcL7WyZxB6F4/5BOf/BQXbT3Nri3LVJTH4ZOfjFbMtb/Z7678c0eY6NRZj7kpQdQb0FmLvVOnFt934pRAJIOfODHWDc/ML7JlGo4PQsYaiTuIj/7NH3xw728+ffLT4r/9x5985/ypIx+rxI891F3bpww+CCGVdOeBI9XG1uf7kHxb3P4vNTzL7ZmD5zCiMuGaI7f0Vh5HCRmdWhn/xc5AvloKQxjFPPzwozSqq1y4tcVqR3FioQo6II5iJpuGfSc8Lj8/4cw5yeRYTLPuc+iMQ6IjZhqC00sRV+zWHDghmRrTeJ5HpeJw5JxktQsXb4q5aOckey59AQYXR0EvdL6y98jg9xOTuK94yRVcuGvbnZhgVchNz/ch+0d5+78AT28rq4sAr23UgwuOHO3o//gHH9Vvf+3Y+d1g069024eoVzyOnjhLu71EGDms9CSJ8ai4hqZvWGjHHDgzYOtUhfGqQomImTGPi3YoegMQMuDUOYdBCKeXBAqPfhBxwQ7D3GQXiaReC9k822HfsSmWV6vUKwm+E9EbaFpdRRjHTEzOUG9sRTkBl190Po/tW/qdGy8+e2T7RT8sQzEut844hzB8eWx8+vk+pP8obv/HA/yZJ+9CCnHLylr0micPLr35kvPP7Qm6Hu/75H5uumKVxXMuxxd7bJtW1HyYGdecWvFR0iCFZstEwvGFCvWa4aFDAb1AUPFgaQ3On3GoVX3mZmJuuaLN00fGeGiv4JnjMS+6PGHrtKZeF+yYW2VxVVHxoR8YHtk3TaMqObzgsXlygBTgqYSzy4qxeowkYeumiMWlBn2jeflVdY6vXEalkXDzC8b3zS/PfjyK5a1CcOdrX/Oy5/sQP6+3/+MA3u20qFb8ybPzi//5T/78Vu/giWeSn/7uyrUrK2PX/dUX55mbPcYrr6pz+4Pj9PUar77W4e7HKuze3qfbdzmzoggige/EXLo9YdNkwHJH8tjhMaJYcNHWAQsdxZW7+xw46tIeOIQB3HBpl/0nazSrIXtPOdx4sSSMAtoDh8eOSa4+L6HVcblgW0gYSZ44IljqVNg8AXt2dPAcSRjB2RWXThBz4RaXrz9meOV1XYL+OF+8r8fLrl/jqvO388CBrSz1ew+99RVLD2+ZuUpN7XhdWGtM/bskDlcmJ8ae71Pw/9fbP/kg8/CRY3iuIz7+ubt5+Q2Bonfruw8ecS5+8NEzLzl1/JQ6u9Dm4LGTzDWabJ2q88ihaW65eoVr94zx5QcaPHiox3mbDWfOOWyZNfROGyJjCCKXk4uSTVMBQhgu2hbwzBEH3+uze7PH/KLLRFNw46URjx/UPHG4SS/qsHMu5AXuGKeX4LEDVS7eGbNjGg4vCKp+BEJx4JSDIUKakO0zhkYVlAhxlUurD9tnFcfOCK7b02GiVucrTwqaYxEvuqzJw0/D3Q8fZvv2znUmdK57Zt9RTt/3qcRvbL+0lVT2v+fDH/25l15mktntt2B0bGY27Xi+T9H/1ts/SYC3V88gpZLBoFX59F/9ZnDL63/t/0mS5Id+40+PRr/6/QcuqYixSmfVp+HBoCd55AD80Ku6XHFBgzPLFW57yOd7X7LGVbun+OqjHhds7zE33uDYmZgb9oTsO+kxXo8AyVPHamyZ1CyvOtzzdMI9B+HKnYZLt0tWOoK7n5G84vKI8bpitdPg5FmHtbZBuSE//LpVjs83WesIrrl4wJUXLOIywfzSDCcX4dLzNP1QcnTeZ6LmsPeU5OLt0OlILt65xK4tFb76oMex5T5vukWzsDTB3qPQChKuvjBE6ir7j/R46vA+dejc0Zc1J3o3/pd/UbtBJ9e6QTD489e9+Vd/98mnD/pTk2ODKI71eTv+6Tkz/6QkSqI1UgiZxKvjraXDN4WReM+Bg0fie+47MPXoM/PNp07ETMws8WtvCzDJVh4/UOWxAxEH5vu85kUtbr6kzuP7x7nziZDxqS7f82LJk/sa3P1Un0t2x2ybrILpIxyBKx0OnXWYbSa0AkOjEnD8XMLTJxMaaoJXX99lda3B/c8YLt8luHBHQhILTiy6JInmwm2Cy86PuP9pwUq3x6uuk1TrZ9h/rMGxsxPUfEGn5zI9FnP4rIfnBCipMNph+9wKl+1U3PXoBA8diXjDLS021ce565EKjx7tceNVq3zn9R6Hjs/w2H7N44cjerLLr739HFvGZzl4cpqV/qZ2bXzX8q7zL3BiLX/qyst33zs72VwDo4WQz/ep/Ae7/ZNh8IWFJebnl877xqPHt+2c0x/f7H5x7NTJtfrR45oodGnWYMu44fFjE9yzd5433rTK9pZDq+vQ7vt8/Kt1phptrrzIYRDW+cZThk/f0+NNL2lRqTR45KDLlqkuU02PkwsO7X5Cr9envskl0g6TdcWWCclLL+/z6MEYRwp8L8avxTx0RFFvuGybDgli2DoFV1+8SKvnEMQTRNrhyWOSxw/sxFcVfC/BGQ/oBzDW7LMLaHc9Tp5LmBrvMTPW4Nb7PZ48EfLGl3XZNt7knscrPHF0wKW7V/n+lyccODbB4VOCU+dizrYSXv+yNpftqLL3aJ2FFcGxM/PN42eONdvhA0xu2faxd543aAUyebN2Lj7V6y0fq9Wmnu9T+g9y+7YHuDEG4OLPf+nrW6Ry//Sub+678NZ7v6He+4unmGnMsDI2Rafv0u079APNrgF88NZJNk8tc9NFDr3BNEHk0g9r3P9MSBitcuVF4Hs1Htin+ORdLS4/b42XXFnn4Mkmi2sDql7MzITmoq2Ks8uKlZak3UloVAN8z2XbTMjReRdH9nnjix0e3u9yyc41xsfbfOGRGu2+z/RYnUcOeFx6foepMZdj5wRbZ1wqlYiJSoLrSKQUPLR3krF6j6oXcMF2hSerfOMJQ622xpteBg13nK896LHvVJ8r96xw9W44eWaOvUdcjp2JePqU4borVvnRV0WcOreZ+eUKS6uw2opp9+HpM33Guw/UV4/eXhczr7mTijg4CJKfMcacAfZ/u2dRv20B3mkv4zjOhQf3P/mC5dXuvz5y5PAtd937DPuOt1kZ+Lzn8zX+7VtbbJ6p0AsU/cAjCFz6gaF7psoX7q/zosuWufpiBUxgjMtjhyb4wP4ub3pFm5suiZger/PQ3gm+cv+AzdMD9uwUzI45HD7j0htEdHvQ6gocx7B1OgElkTKk35OcXa2ArjI7FnLB1h73POETEPM9N0ckYY1DpyQzEw5bpwRaxyyuOrQHAf3Io9P12D4dMNUcoJTEcQRR5HD4FMxM9LjxypgtEw4Hjo/xjX1wZqXDdVd2eNvLEk6emePR/T77j8c8eiQhEh1ef8OAQX+aUws15pcli6sRy62YUysSWRnw829coe77HD/8kGoNTu6pjF1+R7vr3ymcyn9fXll7PI7jg5tmvz19dfV8f4C/z21t5QSe55939tS+/3rsyN7fuPvue8/bu/8IQRCipGIQKJ467rJtrs2LL42IIo8ocdBGYYzAQXNi3uPYkua8zW3mJqDmV6i4DgqHxw4r5tcGNJshl+3SXLzNp9OtcGpR4DkRkVGcWXU5s6hphwLHcdg0HrOwqjl21mOiIRE4zE5GrHQMV5w3QMoaZ5drXLTV58Bxn5NLhkvPC1hYkUSxSz9UXLw9QghDpyfZNB4zMxkwOxniSmj1FL4PF20TrK42+OrDVQ6eGTA52eLl1/a58WKfwydmeWy/x9NHYo4shjTGW/z4a7tctnOM42fHOTHvcmYxYWE54sSy4MCi4Q03L/ATr43p9SY5t9rk3LLhwKGzPL336Hlr7ej7gjDZuWnTzL3/4mf/5dof/Pfff75P/d/59m21/nTXDuK4lZnO2ul/ffr4w1esrnbeePDgcRZbPstrguW1iKW1mIU1w9FVwdR0i1996xIvvKjO0TNTnJivceqc4sy5hBPzEUcWNU6ty5te0uX1N3icmJ9i71GfQ6c0e09EJHLA9tmQF12h2TkrOTFf5+SCZKWtGcQaKWGiATNjMStth3ZXMdEMcYTDRDOh4kfcv9fn/DnNzETM2aUqrtKcXtbMThjO3xxy314fz1NMNUCpiOk6rHYFy13BbFMz2YyQEoJQsdJ2OL7gcGIxZufcgJuuiNk240BSY9/RGodPGZ45nnB8OeC1L17le18SUFUTHDs7wbEzDmfOJZxZijixaDiwaLj+skV++S1tNo1NcGZxnPmlCudWXZbWYGEp4OxSn+07dtMYm/z0y19y/ZO7d239793eYPGqy3c931D4lm/fNgyerPwpnjrejHtP/I+V+Yf+xdrysUs7rSWM8DBGkWiJMQJjNAKDNHBsvsJDhwQXbmtx6U4NuIBCSgdHSXxlOLfksu+UYqD77NnZZvdWzcyEw9yEhyd8lls+J+cFR88KnjgGx86GLK4GtDoJg8il4nnMNAxbZyOESOgHDufNRbjKEGlBlHgstyX9wMVzBMJoZsY102MJK22fdl8wiF1We4K5Mc1yS3NiQVFxPeYmYdtMyKapAbNTAXNTAds2GXbMKS7Z7lJVdY6eaHLfUx6PHIh54nhEojp8580t3vgiQ1VNceD4OEfPOJw+lzCfgvvQkuG6yxb59bevsn16jDPnxllYrbDccllpSVY7Ce1eQi8QHD6xzNHTa5c8dnjpJftPLJ538NTirTe96s3hPbd+7PmGxLd0+0fN4GtrLQahwVG848HHDr/o1/7os/K11x160b/+7tPO8toMa50GK60Kyy2P5ZbDckuw0kpYaUUsryXMr8HhZcHM9Br/8YeWuf6iGicXJjlzrs6ZJYeFZcP8UsypxYRznZjxyQEvvqLLC/eAJ6v4ymdhpcLZJYf5FUEvgDjWVDxNvZIwMRajgePzMe0u7NzkUq8GGCNAeHT7mh1zActrDhgrRda6EMRgMKy0QrbOunT6CqEMQgc0Ky47Ng9Y6wmOn3FItMNUU9KoCHwX4ljQCyTzK5Kzy4aF1RjfH4Abc+OlXV50mWCmWWV5tcnJBZ8zS7CwFLOwEnN6BQ4vG669dInf+qFV5sabnJifZH65yuKqx1JLsrKWsNqOWGknrHY0y13B2Y5gabXH7/2bMH7TS5rfrM7+qK6OXfxNKfSvxtqlWms+31B51ts/2iDz3e/9BOPjY8zPL/72xz535y9+5taH/WOnOnx4TfOaazRX7moBlrkTLUi0QGsHYxTWWAEhEoQwHFme4D/+peC3f3yBq3eFNKqT1KsNmjWfRs1lvKlYWFbMrzp89d4KX7wn5sLtPfacH7Oy2ueS7QFve40mihUCw9/cV+Fcq0I1CTh2VtHtNrjygoRz7Zi9+10u2i45eAZuvBhaHQi1g++ETNfhwOkqtWqEr2LGGoK1DtxwSYfDp3wu2qk5eibg6cP277nbBxxeMIw1AlbaIZ//ag0jFEmScMtVPW662jC/5nL17gG7t7jEUZNev8reIxXmlwSLqwnnVmMWVjQnVgQL3ZCrLlrmP/xAl5nmBMfPjrOwXGVxzWW5JVltJbQ6Ea1uQqtnWOsJzvUUK52I6y5Z5eaL15ygH7307DMfozb5opu27X6ZbjSb/37fY59kz1Xf+3xDZsPbP0oG/8Cff4JrL9+sbr/nyH84enLh3+/bf0wttSKWBw6nuoZLts/z+z+zyFW7aywsT7DcqrHSqrDScllpO6x2YLWVsNqOWenELLXg5KrAqQ646bIV3vrSkF2zdda6Tc6tVFlc8VhqCVZaViKsdjTtvqYdGHqDmKlmxI5NGhD4ruHUORchfXbOKnZtMWyZ7bGwGvD4wQbXXGioVVd56tAkjXpIGLpMTWj6A7hkx4AP3zHOxdtjgsAwPSaJkj6Nis/TxwZU3TpXXRTzxJGQhWWPrVM+uzbDjrkQpSJOLYHnGoQw7NwUM9GQdPo+3Z5Lu+ey0lasrMFyS7PSSlhqJcy3YHmQsGNrl7fessRNexwqbpOzS02WVissrTmstAWrLc1aJ2K1k7DWNSx3Yb6jWFiLuf7ied75M8vs3txkaW2MlTWfIG7QnNyZ+NXNv92JL/+tijyaXPeiNzzf0Fl3+0cF8AP7D1CpVKpnzpzacd+DT77l0NEz/2n/oVMkRjGIoNUXLPQUZ9ox15y/wO/9zDJXnl/l3OoEy2s1VtsVVtouq22H1Ta0Opq1TsxqJ2albVhoCc50DYgub7y5xeuu15y/uUIY1lhtVVjrerQ6itWuoNMTDAJDGBuSBJQ0+C5UfcN40zA7GeG4Aw6fDXnykI+O67zmhhDHXePhvWOctxm+9EDMzZf7nGv1qTiKOImYnIA4cnHcmOXlGi++us2X7m2wazM8dDDApcarr9fEos+ThxOOnqrgSI9NEw4TdUHVF3ieQAmINYSRYRBCp2dY62o6Pc1aT7PcNfSThJ3berzuhS3e+KIQdIPltTHOrVSt3m47rLZgrZPQ6saspeBe6cHZtmKxnXDtRQu862fOcenOKudWJljr1Gh3PXoDRT+ASm0bbnXLr03O7vnYtm1bTwTBoH/BhRc/31DKb/9oAH76xEFmN814+/cf+tF9+w+9+74HHhWLyx05CKEfaHqBoTuAtYFdNs92Iq6/4Bzv/Mllrr6gwtLaOMtrdVbbPmsdj9WOw1pH0OoYWt2EtU5Mq6tZ7RrOdQRnW5qJ8R7fcW2HG/fE7NykaFZd2p0KvisBRRhLtBZoA70BIDQTjQEHTxu0CbntoTpBr8oFWz1uuqJHpNe465FxrrrQ5eB8l9Zqkxde0eOrD/tsmjTsPW74l29os/eYz6ZJye2PKG66RLHSa3Pk5CRXXRRy15N94qDGjZd67N4+oB93+crDChLB4VMOzZqDI6DXl2gjSLQhigGpcTxNq2uoNyK2bw540SU9vuOamKl6hYWVMZbXqqy27bFZbQtaXWh1YlrdOJclKz3JfEew1Im54eJFfvsnF7lyV4XF1THWujXaXZ9Oz6U3cOgNJN2+IIireseuy83O83b/3M7zdn9gZWUxvOzSPc83pIB/JACPoliGYe/1Tz3yxQu63eRd997/sNvuCXoDKxH6A20TNIGm0xe0+oJzfcmZVsyNl5zjHT+5yDW7PdbaYyyuNmh1K6x1PNa6Dq2OotWDTtfQ7sW0uwndvqbVMyx2BYtdiJKAKy/sMzeZ0O0ZXvvCgPPmNHEicaQhjODOxyucOFdh80TMU4croGvs2aa4+mKNX+nx8MEei0t1LjuvTnN8lXufcLnuwgrLvTVWV5vMzRke2Kv4gZd3eXCvw7ZZl6Vui9WVSa6+pMe9TyVMVse57IIu51otHnhmnKpT59qLDRftGIDs8vhRwexkxMJixF2PuwwihZSQaMN5m0O+44Uhna5iy4Tm6gshDGustGqstHzWui7tnqLVlbS70O4ltLsJnV5Cu6dZ6xlW+pLTbUGrH3DTRYv81k+scu2F9uJodaq0exbcnb5Db6Do9i3AW92EtXbElS+4NtKoX/qBt37XoUa9+nnHdfXzja3nPcg0ZhWt135o5ezDv79ybv/kwrk1mnUJSIQwCAFSxAipQQgEVoNKaZDS4cEDm/jV9zm84aYVvu/lK+zaGjK/3MT3qlR9j5rvUq86dKqSRt9lrO7QGyR0+wmbAnvhdAY+K4sVTp00hLHm9HyM7xtA4CmDIwW9vkLgEvccXnCeYPcWw46tPYKkw5cfVOw7NMGrrvG5+pJVPvRlgydqnLe1xxP3KraOK6abPSqqShi5nOtAveKwbZPgsX0hV19U5aVXLfHBL/Tx3AavvMHg+j2+9kDIl+6v88zRKudvqXHe5oSZiZBd0xGXn5eglMZRBjDUfJ+ZcZ8wcun0PJ466NIdOPT6iu5A0u1Dd2Do9ux37/QTun1Du29Y68NiT7GwaqiNtfj51yzy3TcFXHl+nbNLTVrdCp0c3KoA98CSkJVy8PW7H3AbY1O/PzH94MpLX3L9L55d7n1w81Tt/1yA9/p9+gPxE2ePff0d80dvnQx7fRxVoeIJ4sSgjQAUQgAiQQqQwnbSKGlQMsGTkicOzvDogToHz5zjDS/q8qJLB4w3mqy0atTbFZp9j27PoZOe7P7AoRc4DALDINSEkSGKDHFi72HsYTRIJXAdQcUTjDcEEw2Ym9Zs29RjeqLFrQ/D3Y+6SD3Gq65xecGeDvc8ExEOmtz0AkGr3+fccp0bL9JMj/eoOj6DWLHYjlBa8IKLHGqNgEf2V3jJ1WO88MoOj+xXYMa45lKPH//OFb76WMjtD9bZe6LCjhnF3GSViUaNsQZUfXAdg5KgDew9KkgSQRQLwhiCCPsdg4R+oBkEmt5A0ws03T60A1jsSs51INADXnHVCq9/UYvvf6UmjpvML9Vpdyt0+h7dvku3r+j2Fb2BoDsQ9ANDb6DpBwlhpAljw+Fj85z46JcnIfkvb3r9S5xBv/e+SvX5A/nzBvBwsIKU8Y+fPHLPO47s/dpsEvdwXJeKNiSJRmuR2n0CIRRCCJQkBTcoZXCUwVWaqitY6lX5yB3b+NqjbW6+fI23v2KNy3d1mRqvsbxWo9P36fXdFNg2nT8IBUEkiWJBHNulPrMYlTQ4DlQ8qFU1k42IrbM9YrocPB3x0bsqHDlZZ9yvct2lDjde0eaBAy1uu6/JDRdW2LG5x4fvECjh02xErHUDtAElYKbZo93x0HGV1998jo98qcbuhQqvu6FHGC1z15NTREmF6y+d5XXXtblwe4uvPdLjiZM1Hj/qsW1SMtkU1HyB59qLUAoQwqANaG2I4vRijQxBZC/kQQj9EDoDwWogWOmAcAZcdfEab/+ONW6+NGGqWWW1XaPVqdLp+XQHtlAtWwl6gaQ/gF524QyS9G/bWEAqRa/d4pOfuW3WaPOO73z1i838udU/m5ud+D8D4Mni73Dg9AtYOPHlH47D7rtWFp6e9lSLRDjESYLWkGgwNh+ZShSBFBIlHaRMUEqky7PGVQbfMVQdwepAsdya4ON31rn/qS43XbnG21+5xlW7W0wlVeLYpzeo0O279AOHMFJEsSROrJeujZVAUhh8T1OrxPheiOcGnF4O+MJDkkOnPI6emkBpn92bPS7ZpbhmTxvlL/Lk4QZbx2tcdj7Mzayy0m5y+VZJrA23PugT9CTj9ZhXXz/g83dFnJhvcPEFLmfXBjx9xGX7pgmu3LXIPU90uPdpQRB67Nk1yZ7tPnu2dTh8doVDp+HBfTUOHqlTcwS+I6n7hooLUtqgyhh7scYJhDGEiaAbCNoDQTuCUMdoM+DaC9u8/Tva3Hx5wuZJn8FgjOVWhU7Xpzvw6PUdugOVOiaC/kDSD2zf6CBIGIR2ZegHmiC0jlOcgEZy7HSLD370jtm9hxfeNdasxR/6i7/50OceOcfHfu/H/ukC/P95xx8hp7/MTNt8P9HpP1hpnRv3pKJZd4liQxgqslJ7IbBgkxIpZQpqhVICR2kcleA6As/ReK7Bdw01L2G8IugELqvtCT55d5M7Hh+waaLHW25psWf7gEG/y2W7DNvnFEHkkiRFmt++n8Z1Eo4vGI7OC9b6ms/dU+P00gQmdJmoKLZMOeycczh/K1y2u42WS7zn83VWVsa4YY/DZbtbfO1xgYhdZick9VpML/KQRoKRKMejNRAsrAguNTVuuabDNx+psmXa44bLJvmx71ziA1/q8OD+Ot2By/Jag11bqly8ucf1F3X4npd0OLOywufu8Vnu+Rw/63L6tIerBFJKBAJtDImGSBuSWDMxFXHFpT2CIGLP9oA33RIwO6aYbPhEUYWzixV6fY9eYFe5fg5sacEdCAYBlq2DhEGgGYQJg9AwCA1BaBhEMIgFYQRB7LB0us2Tn7p/etvOuT+47vLZ6GO/d81frZ78z0xs/3f/9AD+C7/zUS7/jreIH/4l582bG0++9y03P17bs6NGq1NLdXCCki5SGoS0QaQQ1iWQElQKckdJHCVwHIHrJHiOwHM1FddQjQy10DBWSZioCnqhpBPWOXqqzjv/ahJ0jIhjrrmix665kDgGbTTG2CSOFAKpBI7rsf+Ex95DFeoVh4Ynma4JZqYks5MOW2YUOzcnXLxzjUQs84efbnL8xDg3XOSy57yEftzhvid9xqsuU2OG8UZIrWqlkNaS1kCx0jUstxJa3SovvmyNh/b22HdCMd6scP2l4/zk65f548/AI4fqdPuGtY7DwkqTuekasxMDdk4N+H/e3KNZa/HEUdh/UuK6BqUMQmjA2P8ZiGM4by7hpstjksglin2MqTEIXeaXPPqBXdEGocrlWz8UDALBILSsHYSGQZgQBJog1Awinf4svUcwiASDCPqxoBtJWhH0ehHTa4+Ov/H6iff+0bmF+Pjqv//40tEZM73rp//pAPy//vFfcdV5dfWlW//8jSdOr33oz+9tVR7bN8a7fqbFRdtjOr0a/b6PozRKaaTSKOmmgaRBKZXqbYnrWM3puYrAlQShxg8TgshQjTRBpAlDQzOGINIEMYSxYBBJgsQnSirsO1Tn8X2QGIOFttXGrgRP2ZqPhg+XbYZmFcbqkomGYmrcYXYSdswFbJ5ZIzIr/OGnxzh8ZIyrz1ecv02ye9sqX386ZmF5jGt2SSaamorXx5c+RgniRCKMIU5CVrsVFpZdrt5T5QUXdbjnkQqbJgS1SoOrL9L8/BuX+YPPaJ4+3WCtq1nrKBZXHabH60w0q0w0x2jWImbqETuvDvHdGNeJUSpBChtMGOxFFUWKc4sOUayIYkUYKYIofQwlQSQJQskglAShsAFqKAhCQxDa4xqECWGYavrI/nwQloAdCbqRoB0L2qEhGgS8YOcy//mnz3HLnrO1xcXxD4n4PfrY8iWf3vfIXyV7rvn+b3+A/9Z//WsiKuprTyy+6czJMx88cPBExW9OcOuDCs8x/NZPttizLcFRMWqQoFSCIz0caVDKQUmDqwyuo3AdgxtKPFfYk+AKAk8RRhboUWQI48S6InHpnkCc2OA10aR1K+TgFgKUBEeC64LvCCq+oOZL6jXFWE0yMSaYnYzZOdejUV/j098MuevJSdaWmlyxQ7Fzs8uF2wckYo1bH6xRdx1mJhSN2oAnD8MzRxwu327oBYorL4y4Yrdh/mzC4qpHf1DjNdd1+MYTfQ6eVtSrEt9rcvn5mt/64WXufLrP5++cZrlt2DmbsNpyGG8qxuoujZpLvWqo+Brf0/hOgqOs1JKp3jMGm7DSglhL4kQQx4IoloSxIIokQWSdlzAShJEhDCGIUnekRBxBVL5bcPcj6EWCTiRpx9ALNERdrt6xwm/+xDKvvlaw0p5kefVkJVbjfzExJn+k3mh84uS+DyXb9/zwtzfAZ5vI/qD9fUePn/6Tx54+Xmn4DoERxKbB39wrCEOH772lxZtf3mGyGdPpVVAyQTkJjuPiOgmu4+BGDr6jGLgp27iS0BOEkbAnJ1JEMYSRtA5CXNh+caJJEusuJCZ1SvKCLJFKICt7PEfge5KKL6lXBc2aYbyh2TQZMDPRITZrfPwbkg98aYrZSoUrdgh2bHY5b4tm5+ZVPn2fYWWlwp45xUQTGrWIhWOSc6s+3i4IIsHMmGR8HA4eNay2NfNLFS48r8LLr+nwhbsrTDXA9zyUHOfy3YKfet05XHmOv7lngmdOV9jUjpgdjxmrKxpVRa0qqfoOvge+C45jHSZrq5ZAjsiD+CQRxAkp0CFKrJcdRYklhdT2i1KAW12duTKpBRkLy9qxoB1JOpEmHESM+R3e+uol3nxLh1dcJWl1GvT6FRLt0+8dqmjDe1faux1D9a+xPPPtCfDjez9FFOsf/uAnjvzeqRPHmzVfQQRN1xAbRVvUufVBxX1PVZhfXeJffk+XiWZExbcZR1fFuI6L67h4YULoOniRIogkoWtT6ZZxhGWilJXiGKIEkiSN6rUNuLQ2WQ9nCm4LcKvtBa5jAVLxoVbRNKox442YmfE+0xNrfHNfyF/cVmX/0XHOG3PZPQfb5jy2bYKLd7TpxW0e2NukqlxmJhTjDRhvBEyMxXiegxD24uoHHivtiLWeodWNObfqsWOuwQv3nOO2B3vsP92k5ke4ykOIMXZvVfzgK5e49uJz/MVtDR54apzlrsNsM2a8FlOrSKoVhe8KfFfiujZWUYrUPrQoN9geVq3JgR4nOl3dUmsx1sSJBXccQRib4h5ZV2YQW1LpxYJOJOgk0O/H6LjPVLXDz33vMv/ft/Woeh5r7Tr9QYUg8ogTSZy4LJ8602zH1T8817/A+6P3fuYDP/+T//uKtP63AfzY2Q4I9RMHHv7QO46dODblKCsxPANVbYM7ISSdZpXWQPF7H3PZe3iV17+kyy1Xddg0HdDuVBkEPp4b43suQejgR9beCz0L8CiShLFddqM49bQTUuuPlLkl2lCA2yYpU+YGR9mEiecaKp6mWolpVGImmgGbp9sstHq8+3Mutz40ycpqnQtmBDtmBVtnPbbNCnZtGeB4a3zkLocjJ+tctEky0ZCM1ROkDDi9aPAdiRRgjCCMHHbOtnmQhHZPsdo2LKxUuWhbhe+5pcUnvuZxbMHHdSKEcNGmThRLrtm1ys63tbn1kR4fvnWSh4/V2TohmK4n1CsJFU/guwLPtbGKo1KLVYq8JsNgLzJtsE5LYgGfgTxOrKSzYIcwsf52mCWPYkE/hk4s6cbQDzVxL2TbdJuXXr3Kd72kx2uu1TiixupalUHoEYQ+YeQQRg5xrDAoWqvHpsamxt71g297m/qXP7HyPiEmv30AvrK6hu/JH/vIZ+96x2e+eGh2dSmVAQI8ZTDpu0oBjhC0hU87dPjI133ufKLD1XvavO0VtgpuatynP/DpBx6+6xLGLmHk5IFSHCuiRBLHkigRxLEkSUSpRtzqz1yVGFJv3SaLVJos8lyN7yVU/ZhGNWB6vEs/6vO1Jw0f/foYDzw1zoTncvlWw+ZJyaYpjy0zkm2bQs7fusoTx/p87hszjCmHmTFBsy5o1iJavYQv3Veh4dmyA22gHzi8/qaAL95va2JaXc25VYdtsw3e8KIuD+zrsPegR92PUVJYkOsag9Bq/R98eYuLNp/jI3e2ufeZcU6sVplrCsYqhpqnqTgazwVHpckxmTE5ZOVHOpVqWhcrXJwC3RIERIkgSlJgJ4JBbFm7m2BjnjCkXu3x1let8H2vbHPNRQmbJlx6gzqtjk8YeQShSxBZcopiRWIErmPYORdRqT89e+rwPe+Y3f5y3e+13/+/o3HiHxTgi0trxGEXJcUP3fbVb/zurbfePrW00MZ1LXsJlYHM5CBzhMETgo5y6Ll1TrV9ztxf4/4nu3ziig5venmfV980YHLcIwx8gtgljFyi2CFKgR4nKl3+JElSAFyblLl1UVOW1bcoaes4HEfjuQm+F1H1QxrVPgl9vvqI5K/uGOepo2OIyOe8CcPmccP0uGJm0mNuWrJlJmLHXJuTix3+9PN14qDKtm2C8YZDsw7NWoRwQ9r9OuMNgxA2OxvFkklfEeuYTuTR6SWsthWnF6tcen6Dn/7na7zrr32OL9ZxVJReGA5xXGEQSuamfK65oM0V53d5+vhpPvr1Krc9PM6ZVpW6r2h4UHcNnmNwFTZgl1luobhpwGh70SVakBiIE2H980QQJjZJ1E8E/QT6sSGOY3QUMFXp85pXrPGWV3S4+fKIsapLGNVZbfkEkUcUuQQpa2eElCXVtBYo4RJ0Q5545K7ZnW3vd3ddeH28cPbMn49P1PAr4/84Ad7p9WnU6t912x0P/vGnPnt7s9tuMdlU6XJomSILfKw8MDipe+ElmooS9JRHL3Y4F1T4m/vr3PVUj+tv7/IL39vhkh1tZscVzZpDGHmEsUscFyBPMoBriTYSY0j7NDNwp6l+ZWyyyInxvRhXhbT7EYvtiP/+6QpHz03wyN5xjPaYqgpmpw3TY4KppmJq3GXTlGRuKmbrTI+p8VVufVTz8DPjXLFNMNGQNGqSZk1Tr4YIN8D3HRxl398YSBJJP3DoDyJiLej0NZ2uYaXtMr/c5MaLu7zw0jU+cnuF6orCkZEFpHGIE48wsj2e0+MVrt3d5doLujz40jMcX5T8xW3jnFurcWrZx1OSuivwMhkm7fHPiTw7L1gmj40g1hBpQZDAIIZQG0hiiCOkCtgy0eeKnfZ8XHdJQrPqEMeWsYPII4qdlIAUYVjYklEsiTLySWQqkwRh1OHw3tunqhXxx9t2Xbsahf3P/UNi8h8M4AcOHOS87XPqT9/74Qsef2p/s9NepVpxc2DrzJ5LgV2AW1iPOzb4iaCmBH1H0HN8+onLcljltofH+OYzfep+wI+8tsW2qZjztvS58bIOjlA0ag5CWLlis5K2VtqYEnNjE0hKWM/cEIOMefqo5KF9Dl94oMHTJxqEcY2Go5ipGibrhomasT5402FyzGFqXDA3GbNlps/mmVXueirgPV+YZfO4w0wTmnVFsy5o1GKqfsA3DygGoYNbt6AyRhDGkoqjuOqiPvc/OW4Ln/oJa22XpTWfhaUJfvp1C5xaWub+x2ZwJSAiNBCnAApCSbfvMNGoMN6s88KLerz0ih5ve9ki+05qvvhAhQf2VTlwpE4sHIJA0YsUSkiEECOBZ5oTMJpYG4zWuCJhzAupEPHCq7vs2jxg23TE218dUPUk9apLGNZodTzCyCWOVUo4qvDaY0UUWdbOSyJy+ZhKRyNZW+vw1OP3NBcWzl1w40vfoo4dPZyct2v3Px6AH9i/l7nZKe+RRx7+0VrF/F4crDHe9HKNl+TLYNYdY7VhrAwqMagYXCnwtMGPDZVEUHNSFklc+olLL6nQ6ST87kcmMHHEppkBl+4YMDUW86aX99kxGxJFItXbEkrMTao/pdQIKfjknVWeOFxHOA7Hz9Q4vVCjUlWM+YLxuqFZ0TQr0KgKxmqKZkMx0XCYGofp8ZhNUwO2zrZJzBqf/EaTfrfOhdsMzZqiUZM0qppGJcZ1Q269v0LQk7izIFMwRbGkXlW85vo+dz+q6QaSbj+h3XNY6zjML9e4ZFeDN93c5pGnaxxfaaCkBqJUL7tEiXWTBqGkO3BodT0a1Rr1asAl2wbccPGAk+daHDu7huMmPH7E4RNfryGULVxjdP6g0YAGY4jChJ2bYt7y8j7TzYSLdxo2TUESuwRhgzh2WW27xJEiSooVNIrSx1ilMVFWyGbBHWvrv2exUZJ680miWD3ZAl//3qOPPtLbsnXnB/bu3Rtecskl/zgAfvr0KZaWFi86dfr0ux9/7GFZ8xWeI21krtN7YuyVKw2JwgI7ETjS6sQoMbgJxErgJ4aKNsSJINSGMBEEWhIkklC7RBoWu02+/oTGkPDZB+zIBoxO71kWL7XIRFaRKJFKEUcOUju4jqThw64ZQ93V1HxNzYeaL6hXJY2qlUNjDclEE6bGYmYmArbMdEhY5b9/qsI9T86yewomail71ySNakytGlKv9alWa/hKomSqwbEXfRS5DPqCfpDQCRTdgabT17Zlru5xamGMF18a8PNvXuD3P+FwYs1HCI0xEToxRLFLGEkGgS1jbfQd6hWPWrVCza9R8SMa1ZBrLgzx3IjrLox5+yt6OCpOk0AaIcywKE8lndYSISS+qwCPQeCwvOrYup0ki3nSeyyLGCiWOZijJEsopY/pPUkEsRYkSar7E6v7g8hw/wMPySCU7+52e98IgsFT/xDY/F8G+Fe/8lnqVVU9duzQG/cfOCR8z8FxrM3kxHbJSxJDorJHQZIYlAInybxYcNLoPcki+kQQa1NE9trqQ3sXhFoSG0miHSLtk6S2V/mWZylTt8aR4CqoVA0Vx1BRCb4LvgMVz1D1BVVPUqtKahXHArwuGG9oJpsxU+MBs5Ndtswu854vaD582ya2jyumG5pmXdGoKeo1qFUTGtWIs8uaw2d9Kp6VZZBV+gkGocOuOc3c9ID2wKM/MCmLS9Y6Do1qhUZtnLe/4hxHzs7z3s9txZEOBk2iE2JtiGKHIFT0Q1sU1atIagOHqu9S9RNaHRtjeG5iE2ZugiNto4SUNp0v0rstXRGASEEuaKUTC7S2cU2SSLSWxLqIdyxwS/IjSd2spMiYJroM7iLJlL2OY9IcBjz62OPi/Hb3jTt37jz8yU9+qv+93/s9zy/At8zidTpnf2XQnf8VJQayXrU7EShliJVIgatHQA6OFnkixlGkV3QK+JzxKd1NkWZPK+V0GqhkgVJZcwOlBglwpLaaX9kVw1XWrvJdm72s+JKKJ6n6impF0ahKGjXDWD1hvBEz2QyYnuixY9MyDxwI+MidW5io+GxqaJo1YcFdldQrmnolplELeGA/PL6vxgUzJtW9Rdq8Hyiuu9hw4Y4+Dz41Ti8w9AcJ3b6TgtylVqlSrYzz1pes8PiBc9y/dw6MQuvElsPGhjgyeT1JP3CoDQzViqLiaXzPxfcSfEfjOAmuo/N6H5UWtElhQNji5IwWiuDclhDrzJHSmX4uaekU2HEOYjkC5GHWzlyaJLUi49RzjxL7Xbq9rjxy7PR/COKKV6nWfhsInzeAG7Mmo3Dwm/ff+Ve/GPbPeI2qxyBMHZJIEEnbmaNiQaJSoKsiuZAog5PLGJFrdMsaWfYRy84pyHWaicuSFcYYSpn3oRV32LFJ0/FKWIDnRVs2++d7ioqvqPqCWlXQqBqatYSxesx4I2BqrM+WmVXu39/nNz+4iROnxjl/WjNeg2ZVUa8q6hWoVxKqlQjPHdAaGJRUuMogZfHJLKNJotijWY3oxZpeWmfdGyR0epJWVVHr+FT8BufNRfzWj7b4jQ9J7tu7CYNCG02SaOIkJow1YaQYhIq+L6kGioon8T2D7yl8R+O61u93lLEAVxbgKpUpQpjhBt00tZ+5HSbTyyngc/2cyw2ZlwDkANcifZ1954LI4qTsuWviOK15CTXzB095g7j2S//yZ3/YXVjp/dqmydrfO53/9wZ4q9Wl1dK/ffLw3f+6tXKs4nvClp5io3QpQCZYcEsrN1RiQaxHtLnWBcjLwNZ5cApG2xa2JC0BLd8ZAXgqu9PA0koUJYWVRYo0LS9wHYnvSTxXUfHtSIaqb6hXNI1aQrMWMdYImWz22TKzxv37evzGB6bZf2KSnZPWYWlUJfWatOxdNdQqCbVKRJSE/OXtDaRSuNKgRGETaiPytPUPvmqVrzwc0gl9einAu31Fp6to+Q4Vz8d3m1y8PeY//fgyv/4Bwb1PbUIbSaJtWj2KbaFZEGqCii139X1BxRX4ns1seo7JM7aO0khl0g4pYxslMoAXKU8gJRFsLsG6LWkgnwE4nTqgS+5IkrG0pnQBMPSYrdK2NMDk3yGMDAbJ3oPHKrfefte/efv3vkL0uu1frdX/fkmgvzfAlxcPY4x+4b6nn6rGgUEKa/d5rkYgbfYsTt2SBAtuJYZBnRi0Ige7LjG0fV5YjNb2Mylrk5U7Y0Y+VwbwrAZD5fXkIq8jtwCXuK609RueoOLbmSc1P6FeteBu1kPGm31mxls8sK/Hb75/kqePT7NtQjBVL0mTikO9YutXqpWYqh/iugGnlydwlUBJndpyRZCZJJI4VmyeMMRxRDuqpJ0ymv4goTOQVHuKiufiuRVcZ4w922L+048t8u/+DO5/ZpZESwvwxBDFScrkmsDXVELJwFO5BHNdcB0r0WydirVpZeaNp48bYNzKFdKkECJPDuk0OZRli5Ok9POyvMyBXdQEJVkNTCa1YtvwHSd2RZYm5NGHH6pefdl5L5Ty77/jxN8L4KcOfZqx8aXag9+8y1OsgGO/kJvKBYGtMxHC5JZgkutsy+haGxKHHOzDwM5kiMmBbjI5kj1/ls8mRVFEZZslRA5uJWXaKJHJE6i44HuaasVQ9a1+rlUjmrWQ8Xqf6YkWDx8c8Ovvm+DJ4zNsGVfM1DVjVUGjIqlVFLWqoFqxF4dN9Yfcv1fQHXhUFOlFZjV41oSQaEEUO9Qrihsv6/DA0016kZUp/SCh11d0fIXvKTzXS/XzOJds1/zOT57jl/8n3Lt3lkhLIq3TZumiBzPwJL6nLXu7RR29o7I7qUwpZJxMs7wbgTxLCpkM4Cngk9x5KVnCpZVXp8ZBsUoPE1ycFsVFKeAzGQOCU2dWec8H/8Z77etfV/sff/7F3s/+0D/73w/wr9x7ggcXto/vXP7An040Fl9CHNAbeESxTbAYk7GoZYQ41b8W2OmV7GRLGmglNmbtEqB1DuyiKZj0YspPhrAFRUKm4E6LjFQOcFBpxaDrgOdiO4G8tMDKT6im8qJRDRhr9JlotHnsUMCvv2+Cx4/NMjfuMFPTjFWhXhHUq4paVVHL2Tuh4sc0agPuetxjrVVhYqJIk2eA0ak2jRLF7JTiFS/octdD2nbRhLoEcknFlVRcB9fxcJwqUmou2W54x0+e45f/p+He/bNE2iFKKwBt2atlcj+SeXWh50gcJy3CkgLliJx8ss+XXYSZVBFZVRpFQmj0rkuPWpce85W3tFqbMsAzRi+XNRe6PErs7JYevZcszB/4s5/7kdf/zL/4wb1rQvzdvPG/M8BPnzqDkEu/fN/Sge+7/rwT1CozRLFGG4FrNAiZMqhGCoHSFuQ2qCx0mVZlnZ2CPU3OZOw9FEiOMneK9Cwjl2tvmVXQFbo7qxh0FLY+wzG4rm0srniaipdQrcTUKhH1SkCjNmByrMUjBwJ+5X9O89iRTcyOu8zWEsZqJgV3yt4VSdW37F/xY2p+SKwDOqGPUBI3Y/Bcg4uU3dICscil7g1suUBYYSID+SCh51kG9z1pa+KdbANaw+XnGd71Mwv82z/R3LtvE5F2CBJBmOiUxQWVSOO7Bs+1vatOGnc4ypYI2zZAe5ysTBGlFdAe1fzCLMc6I+DOSahETGVwF5lsQ7l0OXfHcqCnwae2FY1BLDl75hxxuO/7zGD34UEQ/p2bOf9OAF84e5rZuS073/lf33+Fitr0No2nCZTU51X229slz5BIG3goJdLAMtVmpgTuNEgxWTBpikCsYIoiK2nKa2bG2uWgMltu0xoXlQZTjpN2BqVFSFn1YMVNUt0cUa0ETDR7jNU73L835lffM82jRzYxM+YwU00YqxgaKbirFWsnZuCu+gkVL6ZZD9l7zHDnI3U8KXGVToO4wqPIlu8oUcTa4ZZrIi44v8vhE1VmahR9jkFCb5CysKNwnKKNTwjDZTvhd35qiX/3PzXfeHqGQVS1ybDYUEtruH0XC3InW710KlEkUiX5CqekKAFclEDOOr1SgNwMA9wUsjL72UbxVJK+zplcF5ZwrMldMs+BKcfn9Iku93zj6SuuetGP7Tx96vTxrdu+9e0Ov2WALy0uUK01zzu498H/tmtT+7uWFl2WW+PUKjFgAW4veo3QVh5kkkTrNMEz4o6UHws7Kl3GR12SdW5Jytyj4BYGqTJbMK15USlrOwbP0biuxnc1vhdT8WIqfkitEjA51mO10+Pup+B3/mqOJw5NM52Ce7xqaFQF9YrIvXLrvGjL3p4FeNUPCJOEQb9CRdmLTIrS0k+mWUUaaDpWyzsBQWjoR6IEcI3nJXiug+tKHKXyXtUsC3nlLsHv/Mwqv/vXMffum+JMq8mgLhlPDI3YUEknDviuSb3/zEkxOXtnUiUDeP550w9dxnmuENOTUqyspfLbMthLP8vOs5UrJRYvlXQk6UUggKpnmPIEZ08H3PXQ6ndp/77khmuv+DdnTp85tmXrln9YgCeDA4S6ekN/7ck3qng/W6Y9XMd+XSntFxLCIKRAZR6pFHlEXXio5DaTTdKY4edmWO8Ns/awKsxOgh33QL5yZJWKxXAgWxbrOjodM5Hk4Pa9FNyTXRZX+7zjL2t87r4ZlroTzIxJZiopuCtWd9fSwLLqS2q+SRncau+KHwIhdzzmsRp5TPkM1WMjhleoJLHND03f4eVX97h/f0gn8hnLO9Y1XmBr1T3HAtxRBiVdhLQJGgzs2S75/V9o88X7+/z2+zdxammC/rjDuCdoxJpaDH5kRy97yg40crNAU4o8CM4ey4F6+cIUIu8VKVg8P1clsJfcLl2SmgWTl7U6w4k7XUhRKaxcWWkb7rhnL9qZemMka3/Z6/WP/YMyeBC2cd3Ghatnv/qvCB5kZiIm1llgkkbeWcIly3xpLNBNkRTIo+3yYy5BzJA0GWLtsixJD3TGLFm6OXMBVAZwZXCkBbajLLhdJ8FzEzw3puJF+F5Eo9rHcXrc9XjCn32pyRfumSXUTWabgumKlSXWAsx8cpXeRcrcZfaOcJyAbz4zTi902FzLPs8og2dWmiSKFRVX8cJL+sTaArwfCdu1nnWuB9oGh45IWTw97mly3SCYHhd838u6NPwzvP9Lfe5+Zor5qEqvImnGhrpjLMidNA5RJo1LMqcrO4aiqB2XIClYvLyjYPmU5Gw+svKW4yhbl88wo5tRoA/HWTr9e2EEg1DxN3c8ze6LL/xXb/vnNz/a7nUONmuN/3WAry6d4E8//GU8f2LLtLf3pbvHVqhVG0RJDKa8aAFGFD5pCu4hMKc/y07wkNam0NoFsEvWQ9m+EmZEmmRZOVsxaEe76bTmOwW3srUYvhvheREVN6RWG+B5Pf7qNod3/vkshxcncf0Kcw3BpJ/Q9A11H+pph33Vt9nOSpoQsvUrSboSWHmy1E7ohh6eUnjS5AEmpa+SXdhJWrMRxi5Vd8DceJ+1XoN+JNJxazZWcN0ktflUaneqnFiKwNVWPn7XzV2uu3SR3/mLAR++dYaVuE7Pd6m7kqZja3B8BzxF3gzhZEmfdOWTuVQpEkBlUhkWKxuxORuAnZI2H7mXMtPalFdpIElnu2jF6tIaSffRl/aXV7asrawdPHT4BBfs3vG/BnBjEn7mra8478iR/e95/KFjxPUKSmlbbVnGdpYMMAVTD9cyZNkwUQogRemqLYO7VOpauglMwSaysCJzgEuDkho5xNxJCvIYz7GSxPcCfLfPsYWY936xzme+McWRhQmaNZfJCkz4CQ3fpKn3DNwyBbfMk0KVVHv7nr1wmvWAT3/T4eDxKpV0AlfeLkaB8nyMg0mLk2KHPTvhO6/r8GdfnqJbc2ims0f8MI0blMZxsglflEDuDhFMoiU7piW/+gM9rth1iv/5hUmOzI+xElfpuQ51JailQPeksRdO6jLlq192XDP7EKvPi0ynWe+TkyXgTA50PQr6USbPnRhRPIehc58910DDV3z168fYse2a91x04Ytfm3Taf6tUeU6AB0GM5ynOHH94W9R5avfc+IodoyYTHDF0nQ0BMwN1xsh5LYMRuQ+cXQhl9s6Xu5wVMto2QzowA7Z9zEYpW3Bb1yRj7wTXiW3njhPj+wGeE9BJQt79cY/3f3GO08vjaFVlckwx6RnGPE0tZe5anr6XaZ1KKk1S7zwHt2ezl0EUcvCUTzf0mfBTFydLOmWuRJaFNaWalMihWXfYtS1E+QM6YYO+J6hGdiSal8orN5UoTuZ6pA7W+uBVMTPW46e/q8cbb5nn/V9s895PTrHUr9N3KlQcRc0RVJWtv/fSbh8lRZrdJF0NzcZMzrBcKQNxHZszAu4SqRUAZwTghfeePZECXCV5fH+bO+7ZuxtR2XbLzdceS+II5bg82+05AZ6EZ4hpzFQr4uODtfvd8WZsSy3zMksLwuJLlECbM3UGcjnyc/vf6iHGFpgNP4kp2YEmB/aQPJFplZxKLMCdBEcleG5ExQvx3JDWIOSbT0j+6rYmn/zGFIOkged5THmCcU9T9ww131DzCnBXfInvS/xUmtjEUOpMpAD3XJv5PHrWcPfDNcLIxa+bdQFmdivS2bYUNYwUruvwius6fOSrXfafqtOv2NEMgWvwYnAjjRtqlJLWt5Z2IGk+3IcCPImWxFpS8x02jff5t2/tccmOgA/f1uChvWMs9usMlIfrOlQcQVWCnw1YyuxVadKhp5RAPlyzMlqcVQZlRlB6BOjabPRYrghNB6WY8joBEkOoBUo4/M1XH3dfcvMNH19Yar9gda2z+Pdm8HsPzMoJ5/Eb5pzPjW2aPEeiXQxi6IuZEsCzWmJTYvBCY1sWL8uYTJbkX6bE4EOFP7ZHxzJ5nlLWebmn1d0GR9nJWEoluRxxnIhWN+KepwQf/HKT2x4ZY6XVQFYrNKqKcdfQ9DQ111DzDFWPlLUtc1d9ScVTVDxBxSOt0NMpuDW+a/W3cgIOnILTrYpNrKT6djhxUtTP2D7ItFZaS8LQYVNTcOH2Pk+eiOlFLkE649sLseBT2WTdLFEDcqQzJ7t4MhsySmx9+Fte0efV16/ytUc7fOjWJg/tbbLcqdGSHl3PwVMCTwp8ie3hlAZHZHFNOoVApGW/GzD4uvqVHKRliSLywLEM+DwuM0VgmQ0qMvnfLFj9ZEvz7r/+2thv/PxNN1y55/wv8xzDg54T4K21034X8SdaPlm/eHObflhB6yIlnwO6DFojRth75N/oTIeWAF664oePWlmaGMoF+laW6FRzazsNSyZ4mZshIxY7MXc97PClexp87u4xzrXriEoFt+HSdGDMtZ08VZdUdkDVE+ldpiWnqe72BH7G3hnAnRjPi6l4IcZE3PGIz/GzVaYnBa7UqY4VRaNvie3MULmpoh+47NwkeMXVPT5zX0g3culHgopr8GLL4kFkSquUyv1qhBySKfYui0YFbf32qh/wlpf1+Y7rlvnsNzp88Z4adz3R4FyrRl949D0Hx1U4QuBKgSslrjCp1DIoREkaDtuHI18v/SzFRZc9GkQO8LxmhbRoKwV4koG7DHgyV0ZjgoCzC0/UN09d+ycwfwnQ/zsDfGHVEIaD73/0sbvHZ7bMU28anH5MFLu2KxqRAn0U1HIY8LrM1qKkt8tAH9bz+eKU21OmdNepHagRKcAdJ8FzIiqViEGQsP80HDuj+OjtY3z5oSbnVuvgVnCaLjUlabiGhqOpuoaqCxXXgrvi2pmEtsxUlu4i/b1JQa5zkHuubU87fEbz5FEfXDdd5k0pRS+GUFBmr7x+OrHjnC/fFXDpti77TtfoVwS1WOBHhkCRWns6Ze/MTcksyEKr5D57akVqrdLpAy6D0KVaDfjh1wS8/sY1vvJwl499tcaxMxX2na4RrvnEvsPAcZBK2nQ+4KSPGZPn0oUi+F/H5GU3BVFiaIuDpAzokgbXxmDIWg8z+s8qtyIYBBzZ3+fue/cyN/vcVuGzAtzEa8Ik4c9/89Enx48e8rjuwpDrLurjeAFKSZJIEYZpFztyGNDIdYxeBjiljneT/19xaIQoHkXWbZKxttDpLg8Jvm8nqcZJwvwy3P51h8Onqtz5QJXTq1UOn6mD76NqDhVHUXcMdUdbF8G1g/Mrrh3XZkGc3WV6VynASTV3Cm43wXcte9sLK+ToIuw9VsOVw/ZgLlEo6sELNyHLE6R9jbHLpTv7XDjb46kjMb3YpREJAge82M4EVCWASykQUg4xecaUhb8s8mA266OMEpfA9WhWQ37wVQE3X9Hm9GqbOx70OHLS5yuP1DizXCHpu2jpEHkKIWVaZ5TW+5NmPCGXLRkhjTormcwo62v7qHNmHgIy6WN2jxKINMKJkSrm+iv63LA7JGjfP7316n/7r06eOfWu7Vu2bRi+PSvAn3nizwmjhIceP8R9D0+xY2vM5btCXnrtgEt3xWyeiLjgvABlJHEo8zG9ujy2AZkHkxnIyR+zdyoHllkix4wwd0mKqATXT4gSw5GTgiePKG5/oMZTRz2eOVqlHfgEoQ+uh2q6+EpQU1BzNNWSD+w7WZ1GVjZr68L9VJZ4nsLzZHoBmEJ7u4nNLLpW51e8CKNDFlYkgfFxHIknDU7JZhsh8BzkiRnudwxjF4HDzGSIVAO6kUvPEdbpiIqCMUfpoQykzExqgGzYEQKjZcHkpcFIbqLy8RO9wGNuImTHpohrzg/oh31+5GiLp4553H5/hSePVjhyokIUK/AVRioQkkSWskE5fT+LVilnuHJGKzN01tGvCx/R2MIUxyTs3hWydSJiz66QW64JuOL8mG2bI+59wtTvuO9r32dw3/V3YvDf/bMv85VH19Q3Hn5E7N1bYzVSrBzVPHkk5isPhoy5CTu2Bly+J+TV1wa87OoQjK1xqNbBmPRLJ5I4trLFLleyYHDWHwwh7BcW0taNIDRCGqLQ0BtYRj92SvLXt/n0IsVjz1Q4dNJnqesRJB44HigX1VR4UlBVUFOGisKOM1Np4ZGyrO25wiY9yuB2JV4qS3wPfI/UNbEpc9fReG6cZkQjqpWQc6sJt9/boNXxmRgTOKkXnxV9jZ73/FzrUkCoJUGgmJ5SvPrGAV95qM+JVp2+K61MccCNDW6Uedapxy4TaxdSnnUi8/fQxim9hwW6lygSRxG76diHyLVWqhtR9yJuvjzmhZcEvOGlAw6clDy+16UfKj58e42j8y4ISa/vkIQqK9+04/jyC22DCHQoLa3z5yLWCJ1KEm2o1m1CTqB5+dUBr7o24LKLQ3ZuTRhzYKohMcZ+7qt3x/TNA2J65ib11vmPx425N39rABcCJsfH3338jLxyKZhAVMEYjdYRi/2YxU7M0ZUq9z4d84mvxkxPxBitufqikLe8cmAbGxKYGUu46vKQeqVYecRQPcnwUciG87R6gsefcFhuS6oVyQN7XT7/jQqDSDGIFGfnPbRwiIyLFi44DsJ3cKTEU4KKNFRSYPvK4Ctja8Cd1PN1Cub2sr7MHNwq7dEUOXt7rsbzsgKtJGdvz4tQKuTrjyo+c18D5TnWbhvS38/O4JkXXnSjKwYDl9ff1Odz32zz4TvG6MYV6qkOdzMdHmVJGZN3Cwkhc4DZt5IlrV8CuE5nlDiWyV1HETsOTpxYoKsEpewg/YlKzE0Xx9x4cYQRAW96WY9BZMe5/c03fB7c61H1BUttxeNPebR7MlVJYsMzXCQBrCypVwxXvSBgejyxBViJ4S2vHPCCCyOMFsxOaCbGDAqFwSWJHbp9RZzYrWccIWgqfaXrTrzbGLHhlhHrAH52sc3cdKP5397zmYtnvFAFVehpSS9RhNrByARMjNYxgY6ZbyXMr9kl5cAJzee/bp8bbRibSLjhipBG1ZZQbpieLF/mqeuw1lU89KRHu6WQjrQzUYxjmUk42LnADkgHKSWuFBbM0uBLjSctEDxlh31mM/osyEXR8ODYRoCs8bgMbsvwaVmtmzF4UrrH+E6EMSGnlzzCoII/JvHStLcS5D5ynsUU+fkdslDz7nStCCOXiYZi+3SIJwb0Y59+LKg6dghmVkOSJbSULJe3yvy97HvI1LLVRfZU67RnspBGcZykeQOV7n8UE8UJKrK5BEclSBmzbVqnK4bmkh0DQtNHOppWS/DQkw5rPYnKFctwUF0mc4xtfqhXDC+8MmJsXGMSK2OrUqBEZlq4JNnsSa3Q+TwWGzAHoSKMfRX5XLz9ou9tGr3aFnLiuQF+7twSq6ur79q77+jLkqDLeEXhRjYB0E8EA+0Qa4WRLpgkLSRIAE1sNC2d6ilpaK8azn697IxuBPCyfktPjhDobMsF0ppToYogR8rUyspAnaadJenGrZlvXHp00k56Rbr1Hjm4bVuXwkvB7TnkJaaWwVMWdzRemh113Qjfjzi5pPmLr9TB8ex0LllK8AyBb5jIMnbNhoRasNnBOmHk8vZX9/nsXX2eWWjQTVxqsd2U1lYBmqITR2U5gXKwl5UuZlJIlgq8srvOa2EcR+Emdl6KmwJdySJpZuvG0+dCp4ODbDZbmITpmuafvViDSFKZCYhs/wyz/nznkBAY7aDjzISQxJEkMtmYClk8akWis2FDDlHs2KFHgxCxdORl05tPvkvr+Gf/VgZ/8N6vopTwwu5ZfBdiY/DTGm0FuAIGUhBphTYKLdOh8llgoMqRsCFxy8A2I9+3dOaFIDOdysGLkFmXvrD76AibVvaFrRZ0pX3tSNKairR7PCskcijNQSHdma3oqi8ALnPZ4nsmb2nzPF0anBPjpuztORFShhyfFyy2KwjHwZcMyZM8PV+y0IYchVLhWREI2hl/U82AnXN99s0H9BOHQQJ+InATgxunOjwmd5aKw6iGOhWymM5O2jVF6XIujTROokmURDnZ9uUqLVZL0v2SiruQGpWCXGTvjR6xck0O9MwBKy7uvNjZPuaO2mgeRab1OgqTzWJJBw7l4+ESRRA6HDyyyuH5r9vde/82gHd6R1ASlrt9giQdcazAT0MXJcHTEAo7jTQygjj9QLkZny5DQ8z9bOpECLusZkt5bkFlnis4AlxhcEUK2lQCZM/zn6VkX5SCkjfYekpYsA+BW9pHLwN6Fnym4M66fxydSxTXsfrU8yJiIr74zSoLi1XcMYVXruEoOyiMKNKh4iMxEgQqBoGdYPu6F3X55hMD2nGFnuNQjTVhmk5XsiiIygrOhNAUnUNZoFnKEhrQOp2pYkibUASOFumQJpnuYmdreeIU6EUyTecJNinLJRt6KAlXWLslj+xZAu2hMo1MtpHVLsncCcrcJusE2VFxxkDF06x0l3h83/58461nBfhnPv8VxhrVF//5575+3d6TK7gm7SkUBpQNApWBWNhhmYkxxMaOUrMZqfSEMZyx2hDX2T1LFgi7Qog0keBAbrWpNGVs55sUGjebUGsfRT4KoQzsfA6KwvYjbgTwLODMdLeTyRKT6u3hWnLPjfDckPmW5pFDVXA8nFSeOKUCpSzbJ0YQbpfjUtVd3pcqc088ilyuviBgarxPa7VGL1bUFLix/S52tqNBRWWA217YosJBjlRqirRvMmVHpUm0wNWCREkSpUmUIE5BXi5ey8ohZAbyDNSlCVkCy+pFSXPO0+trV/IFfRjgxectJmplDK5NNlFLkST2oFb8mAu29ZjZNHPd7JZ/9uI3vvaWe6646tUbA/zEYoDfTv7Z2QWu0kGMV3WKwndjq1CksYBLjLHT+g1oaUpZKFHKXhUcXgb2KMBF1sdZYu5s5JoqgTxjLCerjUhrwLNST9tcnHWqWFmi8u6VAthZ861l71RzO+R6O7MELWMX4Hbz6sQIQcQXvuHzzacaSN/Bk8LO384rCIs2uqLibzSbWa6Zz1jKas3+wOXGy/p8580d3vuFBmHi000klcQQxORz1YuqP53KOT1yQT0bk4N2ZNoiJnJwJ0qilLaMLmU6WkKXSpHLNUCmAPkGDF7IJjMCgNRHKyuXErCzz1v0D8jcSi2OU8b4CtdItk7GVzXHzv0zo6N7NmTwo8dOMTHeePWHPnb7D7RXFpmoC1xligq11KdWBhJpu+XLXRl5UU3pccN5amWQp+DOACBLoJAUNQ/l0QYZc9stSLLXpAxO3oY1xOJpN4yrhsFtxymMMHfas+ml7W2ukzUcxKV7REjEx+5okhgflWcvywFm0deYORtDGpyRdj0t7SiNJAs2HQQub3l5j7/8YsCajugnFfqJwI3JWVxKg4xFXnRm7cJRLSpL1qQogVyQOKbomVWaxDEobeVKogwqsRWMNnss89LkwqIsV3cWZcx5U0oJ6M++npeK7VKAj1aiZjKuPCMxK+gLEUS6jaxFP7B552vvbK2c/srY5NZhgMdxxGAQXCCT3u6q6FJruERxOmJLg9D2BGlj2VyLotRxqGIs8znZIJ4kjTdKcWUmT3Kgj5Rn5lp8RHNmoC/P9lBKFFo8rbgbGnaTAttRonBScjvQdtzbxmSTMncRYDol9vbdkEcOSQ6eqWCUi5IST2qc0TqNkgAfdVGye97xpEXJr7Ygj2KX3VsiLj2/y30HqkTKox8LKhLcxODEIpVvaRdOnOpwpJULIwAaqs/PpVHW8Ju5K7beJclmt6fSrwB3Vgtk0jKBjMnJVw9RAjeimJjFENiHD0fWsJpnu02xwuU15NmxMQKdyKEZj/2lGFFLds9uCy6I4vgr6xi8tbZGFAYYHTDWsKn3fpDunZgUACyPedDp2lIuHhq6ItdfoyXmLj0vA70EbpXXfBe2WyFZhO2eFwW4bZAp8m5xJwe3HAJ4efiP7bYnB3aercyZO8FzbGLHdgVFGCI+cUeN5eUqwnes716+CEdrUMpLV7lUVA+z6pA3rRVR5DA9KXnzKzo8cqhJkFToKY9qYrV4Vs6qJCm4s7UinSyWF+ZaFi9rXisBTOkCK0/ylSidrUgmf24BLtPvqfO2uazLXwhZNEcMgbwomssPxUhAOFybJNbHDoZSsJl1Qtk9U/uBotMVjLVCVlZXicLBeony9ONfwlGCuNdh60yVlXZip8GmndB23UhlQ3pC1LNIErPBclQ+yYX2HnksA7rM4kPjxQrGlmUGV6LE4plckShnGOCekw4AcrOtA9MMp2Nw81S8Tp8nQ3dH2c6dZ47Dx29rEEgPJVWavRy+EEczmOsv9+zEMqLD05OYJjT8xOHNrxrwwS/3eOJIlUi59KTES3TqHglkYkrHyU42yMoe8hNHlvhhQyZPNDi5hWin/qq0JEAlphjWmc9lEfkFHY/o8aKOaLgTaBjgwxgpj74uyjmycpVSL68ReQWmHX8n6fYVi6uKI988wJ0PnKVsFzoAR46dYWbn5tqBb/zRroo6R6ulWO3q3OnL9HGejBMGaQrdVHwonvVWXpqGruwR9t5YoogcOKPjkGWJsbMgM5va5DjZJq+p9lYj4M7S927WmKztzJC8RSzr6YzTe4RyQw6eduiEHignlSdmpDx29MIdRvjwQKMRLzztxikSPw51V3Dx1gFPHAztbsHao5LYmm0n1eBK2I1cbWIpWy01WZBZMHlR5pzVNTn5YNOUuDQk0gJepbtTSF1MCMimayVZd39uABTBpZC28qhoVh7W4htJlXKtbQbyDPwZo5cbk+2oEnuBLq1pjsz32X3Bll2/8xs/W/ulX/yxXnN8zgK835nn1L7Wq4zc9MtbJh/jcdfjzIoCXZoFSGn8WH6iTB4Qr8O3GQF1ib0LkFuHpgyEAthFH6MqsaIaGqqZgZyiRlqVQJ0/T5M8itQLt+C2AC6GArlleVJmb5X2dXohKx3NH32qwXK/gvBdK0+kGVpVisE5G1dkDAEdqy1N1qSdM7h1VOLYoVlz+Lnv6fC1R5osBx6hdOhLiZf2UBYjH1IGzyp+Ul2cldEadApuXSppLrpqnHRIUxakZ2BXUqQMbiVRkrsoxdiQQocX7YSFTMkCz+x4FD83JWyUj8vocRpi+fTRZnRj/JmQfSdjDpxQvPoVs7987OjBe1qd/mdzBu+uPYIQFXS4j35yhidOzXBscYxNdatVR5fb/P2fg7ENwyd4COAj7Fa4KKIAuRyVKMODaXJgS4FUxfgxVQK1IyVOKkmcHOCZ5tZ5UOk6Oge362T1F8Ps7aoIzwv56B0uTx+ugnSRUuJnpbElazPfIz79ks9aTVhi83ynipJMibVtOYtjl8t39/ium9t88MsVtOPTlx6+FHnSR0lBlAd065lclJl8dAJCBnQFythVQRvrlGWzHS2rC4qxEsUsmmIyre3jFHIY4JkjViY2hgC/EXpKqDfDv8mwI6U9Z1NjPS69oMsXH3R54OlDKE/Q7QfkAD9w2qXiO+w97PDFb4xx9EydurDWoGOGmbX8Ls/FTojCMSlALfIvabfOEBuydxFYioLNc4b82wAuC4DniZ4M4MbOyU6liKsKt8QtDQcqNLdlb9exU6tWW5q/+XqDpZYPldQ9EaVg7FkkSvY9R8/fhrZdZhlqaZ2CRBHFDhNNxT9/WY/PfXPActcnVA79RKb2pEjdG1E0Y8uCLTNg2zJm0oYDnWvyzA1zMmdFpc/Toak6HX+dHfcyyIUUpe77bIhnqrulWRdfZeC25b1luJTBMgzw4e9R2Md2dbc1Ly++zND80TVENWDzZjtYH8C566EDbN40cd5nv/zQz3/4b7osr0wzXpc0vLRSjfWuwLDtVURR5ZM4FFxtxNzZF8z/tnhOiSKGgD08+7vc4WKHuzMM7mxng4y5VYm51zF4Nm6iGDnhKJu5PHpMcOB4BY2PkE7enFtUD5aPlSi5GsUBKdeiFExeytzlw+Nl0W6WOGAc9uwM2b15wPK+KibxLIsnVqY4JRenCO7KhV5ZjZAsLFyTsrkpfHItRW4dlmMbpe1FoyWp9k4TWrIgoxzcWlj9LUUuT4oxcIXbU9jFZqiMWowseevjNwHarhiJlnT7LjUzxjW7K7j+Gca3XPHzY7Pf8VjQefKY44kEHQVzdS95tQoXOX/Wx5gkHzlcHn0gMzbKLrYNHIINgZ0zWVmapIvmEHOLEXkiSs6EKAWbBaAtg5OOAi774OV7uqW1KoO7BPJ0v3o3LQ3N2Fulrx0nQqmIL97X4OBSFbxCnrgl63K95Bo5OCO34RHE5YkEpd3NsjLa0OH86ZDX3djjwWdqoF3ixGpxN0mzu8mwVMqBlUMnsw1l2sBb8piz5zJ9LtNVRWZ3e+yTdMWQGdB1tsKanJiGpAqF9GQI6PaiEylQhuWsGcqVpP8iTx5lq3+RpbU7K691fIwecP6Y82qvmcxFgTzm1CuCqiuYbgi2TUvbBJo1J5T076hMGQqgRoE8wtaZONnYXRC5izIaoGWAFhsAO2dzJUpNuCVwp/MJi207WA9spxgQlI94c3QK8tjKExVRrYXct1/x2a/X6Q88qDk4UuCKYWky+vmHj8EGAGdEf49YhmVfPIodxhoOb7hlwJe/2eOB/R6m7tJPfDxBfqGp/P0LHTwczlmQl/MUNvhMLzBl2TyRVo/rEmtnQb2WWVApSvpbDBGhkCC1BWXegV+SUJn4ECNaPGdokcmWgkyzY6nTvyPTYxUnBowi0YJWRzG2WqE6rggGDk4URgRhiDEJVc8WSkVxaVO5ZwkI13m8Ixobhv/98Gsx/PdKcqT8PJciogC1VKXdG5RIa1MKcBcgz8pmDY5TjFB20k2YHDUMdDdna3tXygaYnhcShQlfvrfGMydq4LoIqVJQpXNDSsGlkCPHaeQ4ZsjOWZt0Kmspk6nL9dAluzAMHS7ZEfOaF3V5/FiVIPZIpEtfK7yEkc+SeeGMMLh9NCOfBZVdbBqtBCqz5qTAKJCm0OP5iipB6tIswyxPIsSQSfCc2CkFw+ulyOiqX8RnWoDQWbbY1tPEiaQfQJwkaB2idYTzwb/+Ako5dDttHEeh04GaWpeckNKSWzCTGAZymclH2XvDi0QMAXw0uBwOMIsdCAppUrIKc8bOAF5MTs0lSsrclrFNztRO/lg8d9Pg0lERvhfy1HHBV75Zo9f3oO4iRVY5SMke3CCLmX234rQVzJ2nNYvJuqPls8VcE5V3+zQaIa+5KeBzdw14/IgPjsdAS7xUiysNKhkOxERSyAOSMtgLYBtjV75cukjL5tmqkgX5tlQjlSYpo1ugmRIZWfDlYM9iLTkcF6zHyvo4b93vRo6vTo+r1hDGAikd5k8+RHd1L0mS4FyybRVHCdY6EftDxVLLfvEsChcbnKwc5Os+gBhirCHWHnFMQKwDQi5HRBZUjjK41dvlbKZSaYVhWlFo27nS5055PvgIuNO7m02hTQv8HRXbuxPhuhGxSfjCPVXufqoKFQekbWh2SyW8Q6Wx5Xv5xUYSpVQXntt2WXN56qgkWg4BPRi4vPTyHq97cY+nj1eIYxcjFH3h4Cbkn0kkBYsXH2FjJi/e36BUxtyWze1rgdQi1+F5XJYxekZKGahlITEzQCIMUosNcDHsqBQYMQU5rpMolP5ucXilgLWu4JnjPYI4RAqD00r6uFKwNEg4sxqThBLPZUgmbLjElFyQdQyeLz3PtiTZ/75Y0sXQARGjwB6SKuU0femuRsCtSnen2AQ1A7RbAnXmnFjHxD4qFeG5EY8dk3z8jgbggXQRQuVdRCrdSLWcdS2vSCWlOQIwhgrSCuYuaXAj0Ilt3bPpaZWn741xeMvL+9x+74CHDttJApFW9BKRFnyloEtS1i7XARWXlxUvxlgWLwE9+61KQa9lup9PFhTrUmbZpO9lClBLXYC0CL5LE75SfT26emfHKPv5s10I2XHWIgvu7TmoVRO2qAG9pE+7b3fCcD56m4+QkjgMcXXEbDO9cjKPeUj7jL5pETxkAM6ckXUXAcWXZAPdXRwEUWi4TNtlzCFKRVfZY9qaVmw2ZXd2KAbgF+AeYu3SY9ZYm0kVpWJcNyZKYu58oMqTh6rguiBtcOkJU5ocWw6sRlalIUANQ8uUnuQNEENFRaVgM5FolToqiUMQuly2e8BLb7As3k8siwfCY6DBSbJgLq1TKQVzhUSxH6A8Oq9sXSoJRtlAThls9tMIhBEYAdKIQqqkRCVzwJWsUl268Id88VHjYQNg51gadl/K6kKZNAZQtkxg64zm0t0GpaxT5Fw8axmvH0C7WxQtOSOsWXwokwM6A212dVH64MVVKkbYXJQ+cPlDi5E9YkbqTwT53jv57sVZ8+1Qw0OxdYlSI+AuDcXP3ROVoJwSwFOJ4jkRB88KPvTlBkHkQs1N5Ql5a5oq7xJcjk+GxOWzSBQzDPSyTClvDlBu1yq0uEPdl/zQa3p84e46+0/biy/Ril6ibJVhkiZ/MnstScdyjKwkWWFcGeDSFFpcphpdaoNJz5GRwgJcl2KljMnznT/WB4ZCj5oLJWCXrcKNYrYSaWhd/E27ANm/ESWS1bZPu19FSA+MQf3Cb/7+psg4/+Xo4WN7qp7dcs4WKaWFS5lEUBng5NDOXEqK9VJi5Pfr/015D0uZuiHpWGAlhyy/0Xs2MqHsceePTqG7rYMyDO7yXj1FMVW6+4MT5c0MrhOSyJAPfr7GX35lHHwfVAWlHGrKUFUmHUdB3uDsllrjikxqORElKSbDMhSgFrFEYTtmF62QpI2/RS+kkgZhNNvnQk4vSR5+0iMWEoRCC4UQtpR2nUzM7bfSqlIqqMtfm5KoScFeXAwUzg+MaPjSRNhSfFHuQc3vpVLhfH7lSDdY8XeykYDFwNbh6cSlqWlGUPVDrrxyz9zV1179VUevnRqvie5rPSei4jvpSRn1v9c7HoVUGV5S1uunEqPnsqQsScoaPF3qyqw9VAduhrS3zMFQSBJV0t4q3+mhtBGVMiOSJKsUzNg7wnUiDpyRfORrNez8Fcveeed+9v6CofHCsnwcGGah/EUOoBFw6HJtSDFX0J5cmfck6kSRqFSLJw5vfUWPz9xZY+8pF2SIEZJB4uKQesXZsU5SeCZZ4ieDakk6pQ0HJm0wzzeDSkEpDUhjZUumu6Wx72F06o/rNEAdccZGnyNG5eyzGBlk+jtzZkp4SeWPltlW4ekcxrWIY6eS1y61V8edF17c4li1x/GD1nstdNRwwmXYxhGlDzZq+5QlysZWoNjgwhnVb0M14GkyobyPTKHBi60Cs53V1Ai47URWnT5aO1Apjcr8bhWjZIxK5UmiYj5/T529BwvtLYW03nfeQcOGJ1Aw+jrnxiENXjwfbkAe8sRLE6kcnXaxyCKFH0YOl1wQ8PoXdzn8EZ8wUSAcEuHQFwInSe07skA3c1TEEB/nIbDJdLlAGUO2B5OR9jOqMgMLU6T4he3LlUbYwE8z5IPrEoHpDEdyuEx6KLZbB/DySmSG/o1Mbcrs70exoNN3Od0D5WucgydcFs45COyw93zxEhuBuQBw2e4r6+t1H6r8b8oXDKwHyShzj7B29jpj7QzsGXPnQFdlJi90t8qCyGyLE6lxZDE0X6kE1404clbxPz7dZCBdsglaRdd8uoKUa6BL323I73qO2/DyLfLS4/Jc9SLQlHmteJIPwXGIExc/ifnZN3b51J01Dp9xQEWgHSLh0hcClWRAs3o8DzZHQJ558wZwsgsu/Zk09phnbC5N5onrITbXwl5QWgqEMYxmwMusLoz1sNcbFiOMnv5M5hfBiFbXRayXH1stOG+TpDkmcTzPp1b1GW+6gCLRpbkmzwFmyuAvvfGoNFn3fCjKHn5eBrYYYe0skTIMbl1IFDnM4M6Qv52CecjvLt2lZXHXCWmHmvd+rsnpcz4oJ7UGZSpPzJDvnT/fKCAaPRnPBvRRrZk1cufgzlL4Mr/nzRBSkcQOW2cCfvK7OvzOhzxakQ0IjJEEWlnbMCkKnUgEhcIuQF78v/2NSjFgTNq5lbJ6xubGWAmUM7ix58mk4BUifS4K33ojK3VDUI8CnhLzDymJEqmkckpr6PcF0z2J4ymcrTMRnog52ZR0BwqZaMoD6YdkB8NAL0uW4SVlmOlz/1MWz9eBW5YlSpm1TckaLIrslSgDusTkjk4ZXefSxMoRvU6qKBXnj46KcPyIT37B5z2faBJo18oToXJ5kjcVj1hiQ7o7Px5lWG8M8fJspMIqLIM+S9kbtNZ5djNP4Wu7FXjFifnpN3U5cNzj/Z+3WhwUiZAMtA04ZULO4EUBVnayitR92a604C4kizEpm4us8jBjc2Ptwzzxk+pyWbxX5p6NavMyIQ7jZ4M4ZnSBHCEPu6EArHY088sxAx3j+P4aUnYYhDFCOCiV/dnS6cn/aPEhRh83DjbX66pR62jYQx1pMi6DO9uiu7xloCq7DrokVTIQl5hcFtWBw49x6ntHrKzCp75WYzXIwG0B7kqrvR0xLE+GPmtml5XwnB/F0uEsa+0M5JlVOFTVN7r1oh6pE5cSpRVaO8SJw5iX8MZX9vjMPTWWOwpkBFoRYfV4VmWYA274DD8rk2c2HOULUIo82DTpLteWvS3Q8wSM2aAeZQOwI2x57RCW1uFrmLnLuBwljIpnSGTEQAc4j+1vsrwc0+5Cs479ZKMHYFSWjFxJGwUJPAu4N5QmGwFbDEsTmQeW5QaD4aAyG05TgDsZYu2CuTPWLtjbrcV84esVHniyii5pb9vUkMmT4XqTcmXcEPMI1rHQxiSesmfugxcSZbQZorznaGIkyhS+eJy4ODrmhZeHfOf1Pf7iix6oEITECEGgHZQQdnJYFmiKAtSjciWzBo2xjlrG7EoWMsrIUqGYtDNeyhWVxpghmfJsnrY9TibV4yUpNWRWlLBXZu0N5J8Q0KxLLt3hMjnp4uzaIhivCLrLijAuxmgVCYuNl4R1V9fIlVX+2UZX8VDGSw4DZpi9TW4R5huVlgAulcFJR4xJmTom0qS6OgN3UjgmUhe7sUnrnvhuxOETkg99ocF8x7P7XUs76F0Jih0bRuKF9SdNDAF+lL1Hb0OJnhKzr9uOMZvwNNR1b/fPsY92+5NN9YQf/s4u9zzpc3hBgogAhUYyELK0iZQNOjNQ5zZm+YIr83mezUzPQ5nNy2DOirGyLKoAPVIbPpzoK++iXG6xK1VCDkliM3xIc8wVktkAy6sJzdMJrYHBefhQQK8dstJOaNSKILDQk+tP1OgSMRoobBg0YIoAk0J355o7+3clQOf2oMoAPwLyfEb26PMkHxqZsbgjS7pbJjipLeh5EUGi+dOPNrn7kartbZOO1d5S2q4dUcxfyT9rtrKMrFyjTF4+ZmWsr89gFq5Fscd7uXy2XEarMeWxwokmlg4qdnjpNSE/9ZY2v/mnHkEsbQZKS+LUVbE12pQAU4DJfjDbkkbp89nXohQbpN31JrMHrUTLLoCMtU160VvpUsJDlv3dIHaz+Clckex1CuN1IEyFVIlcBJNjcNnuPpvn2ji+9Bloj0EA9ao9Hnk/33NoydHfbxzdZr15w0xedJuUdWwxRKYMfCtLdMHmI3eZ24PFBNSh4FIWssRJZ1znwaWMcb2YOx5y+czdNYLQhaqTa++cvbMAd0iebMDcYuSYQHESN6DvcmFTMbqsDG4wqsjklWvFEy2R2kqVDOhx7FCtxbzxpX1uu7vP7Q8paxsiQUgi4dDPzgMgTNpaVpIrdreZYU1u76W6FJl+zrQpIn8t0tJasQHQy+xtGGLwUUK0ODIFpEVx0DaSe1m3jxQ2C+97Dlo3CMNxnLlJFx+H9rKD7w2PaHi220b6PGOEjYD+bPLEgt+sDyrTDV+VGHZNZL6feuqi5MmdDMi6xNwloJeGuefaW9opsWtdwxfuqbH/bMVKE2FLYkWmvQWlCVJmHbjzizb/zmVAP8dBzE5ZmmrOLLnhe7Fz3frhQEWNipQKqROkdogCh4vmIr7z5i4P7PVohWn6VVs9HqLI9oEYBndJg6ef3WCTO/kFKa3bkoMaG1hKrFTRwv7NUaDrXBqV605G8gdlcOe4MkNAfNajWZI8xhhWY83CkkuMj7NlJqKqYtaWMs1j+FZvG4n9jMWGLSAzBPahAK3E3utGEYyAOWP4TJLIfDB7BnIzAu50Z4LSYwZu14nRJPz5F6u859MNjHCs7z3E3hTae8gaXA90hk5SCeTPwd5DlXyM6u+Myde3shU7H2h0ItHS+uJKaqLERSrNT7+hx6EzLu/5jEMUFyDXCAIhUTobJJGCu9zaloNaWB8QSCe/pT/OdHh+bWLSi58U/FIUQBdYti9WOpN75UUisdzKlgXB2edbT7jrd8OxP4gEDAYRZ5YjAhHhCDoI0ceRdk5IUVkmiu9qhq/tDcE+xNwjTF4KbCRQbMddSJFMk2dTk0Q+irjQ3kKsd0xkBm41Kk+G96xX6d4zVoNHuF7EoXnJZ+6s0+26UFXr2Tuv+S45O6JI8JR14+jzDOR/G4ebQgOU5ECmxcWQe2LSpoMc6LK0xYe0WlxKhyhKaNRj3nBLjy9/o8qhs2lSwQ6oJhGCvuVR+xl1Cm5TgN3koE7dEtLkT3auMydFFJ9ZC/IKRiOGyc12BZmRVV2MYEWUyPJZpl+NALwoL8hzk0TaEGIIMDjn1mYZ9AUV3+B7ScoQBXNkf6SIrMUQ2os9WUZclPRnshxgUgJ6GfSjrJ0OkVElFs8mmiplBz8Wg9lL+ru03YYsyRIpU8ckZXLHiQkizW331/nao1U7HFy6FuAj7J07OEIMB8OUap5HmVzwnCdnI+4ZAnrprrW14TKZYtKtSKzu1oVM0ZJESFQi0UIRBQ6vvCrklS/sc/JLLoG2OjythCLGYSCwXTaU5IC1QTDpyVfZyc0dlfRaEWlVobTIzsBlZFaAVeQGhACR2o7DSZ5SmXHZOSnjaV1kPny8sqA3L1Aztt1y64THjrkKzguv3rZ2+nT7y0fi5LuFFgShIk7sAMbChy32lMeYYaW2QeBZnvldANsMMblgWHeX59vlI3lzYGdAL8pGy86JlOv1dtkOzFLxUtpOHenF3PWQxzs/MEZinMI5kQohpN0HSBRp+WEGLzs+G7P3t5DEHD5hG5WHlsY6GGN94ox8jBZoUTgquSaX1hsX2iGONZ6X8Cs/2mb/KYe7HpRoT6SQtV8g0oo+qSbOPlCmOZQYHhecujvWC09X2+zzlgb/kAWhIu3dF6XaI1GwsikH5uuI0l5QosyapWNmMEOkq9MR34k2DAKD4wk6QeXLeFvX1MyWme7ew4uHk0T91FQjWsdIGThzZ0NmEkOUADmapCk1K+TuSDlZk9l8I/52vntYOYAcSeakNd6FLahL223oVGvrkixJSgkd22t5akXwzg+Ncc+jdbspj/TSklgXRwqqEnxJusmVWV+7PXRPy4vzITnDw4iymnepRhqmS7q+eC1y+VbYpMMVlfb4l+aelOResdtCoXOnp2J8x/DAEx5rfTmy1Mh8irgoAb2w6EbR9a0sS6Vi3NKKBAxNLB+2R0uTZCn+m7KVmm+AbEye5dXG5HuyxokhiiGMDHt2edS9hR8+fuzJ/c4FW+wXtUMtNZ4LQqRaLWUjmTEKxZuOqvIhJh+Z7r/uuTRDgWaZucVIgFn2v3PNnbH4ELDLTko5sExLYdPniZfwoc+N8dmv1zEVBUJZdAoHIeVQv2XR3/gcHfP598u0yYbnfN1Ka0ZelwFhnw932492+Oh0fqBJmdtu1JvWqAiJ1IpEOMh+whtf1ueZIy7vep9D6McFwIXAaJeAtHYmixqztjZR1IcDVpPrNLuZsnsRZKasnU0eTuXJsCdeWIdDU7dMeazbsHmxbrVLD9Qoe0cxhLGVJ2cXFZ2+a3eQ27OzB0gkfeK4x0q7RqfnWh8TUn013Lu3UcRZdg3KSzYlEIsy05QCzDLzjAI7B7TIfO+iq6W8vV3G3PlzWSR1ZF5zknD7gz4f+FKdQZJOwReZNZhmLYUZ0t4bpubLQIcNVrwNpMqzsJ9Jg7vMe16X0cSsK6E1spTZlCVnRShbmCXT4iypSbSD72p+9HVd7n3c4/ZHrV2YeeNIgTYOQZIGnbk1V6Tj87gr9b6tPShQqSVYBrkU2YWQFlwNAbx07LLak/xYiSEcPdtaMZz5LbbQiTX0AsG5tmAlgEY1nXn+pYcD7FDGkAs2d9k2IVjr+GQugLSDwPMA0xie9ZbXEVAiCdYDvGwJiiGAlwJOkSZxRLGzl1qnwzdg8TJ7y6QIMJ2IXgC//WdjHDntY5xit+Qh7Z1JpCFgjwCaDcCcn5SRM/QcgnyINCgv2RStW+v0+PraFC3TikNZZnGFSDRCOMhQc/7WiF/78Rb3/pJPZ5B+GS3zz5VIuxendQbsh7Bb/WRgt2SnMj4X9uJUKSsbSTbq0AacWfFVqsFN6fiN1qfYw7RB5/+G+ns90MHKvEGcsGP7gKsvCqj7jh3k/8zR7UipaHe6HDjkcvMVLhXPeqqjHm/GMBt6hmUXpcTco/KkPDu6XEiVAV0OMbkuJErWlyg2APeQa1LanTf1vB0nIk7gjz/Z4NF9Fet5y4y5C+fEFcOyRIlh1hZlsI8wd5oapDx0c2P+Eet/VJIhRQNEOZgS+YZfQ9WGwjJ4HnRqaUGeSLRI70kqVbTm6j0RP/e9Lf7bR8cJk5RqIUMjCYpAl4JOCW5mIWIKiZKyr0kvYJMyds7m0l4cJnNL8mOYyhb7o3WrXpkoh678DUihfJMCKp5gzw6X6y8VXH/FOLVanThJcH75Z99ItVrj4IGnufcbtzIIPGu7lQD5XFfS0MUmijcsW0Cj21gUtRzlDYzWuyfFpqPPwt6pHJFlWTJ0TwPLSsJX7/d5/ycbtPqu9QBTz5u0Sdc6J0XWslzKW9bhxWi2DWYQDoVlIn8tRo7dKGuvw/sQ0AuQD7N2NhXWpOAvSxVrIyZSIY229SqxolnR/MSbejz8tM9t9ymoxZlwzk9crCUDCifDVkyVtHh6om2yh0K9CJFnOo0uZEl2Hya39NiZ4tjJ0oF6tlzjRpjLzoGjwHck+48qLrnipew6/zI63S7OpimN5wuSbSGt8zt0BhNFBJ8Hfs92FQ1HAetSrs8B7OGoP3VaSgC3W0ZvAHKhc5YeYm5lgS5LVYJSxkgnZt8xh//x8SaHlj17JERJe6cVg2466yR3NjYKKkcOaiFNRiyv0UMzelZKHm5+4kZ0d7EEl8pSRz3yEtjzQiyj801lRSZVhLFSJTLsnoz52Td3ODbvcPC0wDhlgSVAuiQpyBkBeSZfjLZDPikxuUkliykxNiMAz+rEJUU9Sib5Mx89e9t1nPosoM/GxGkN3b7m8OmA65YSdkeSVl/gdPqGqjAsrCQcn08Ybwpcp5wOH64Nz9kl+1AjJ290V60cEGX7SqxnbSGyremGnZNCpgxvKT2azMnYPGtskDLG82PmW4Lffl+Tz9xRw7iqSMc/B3sXdd/rU/JlcG+U1Ckz+pBmK/2boXM1AvbsZ+trUso6PAO0yTOcJtPhKYNLkT1Pg0+hiRONK62r0gokv/z7ioU1Af4w3RocYiMZlDT4EMhFIVeMBJXJkxToCFsea7AiKHsUKbubEukNMXmaCNpQApdik/z3abiABKENriPZNifZNC2oV0En4LR6NYTTnD+3Mv6VUJ/3amNa+T6RKpUqBcuIUhAkNrysyuNwR4PKIsEzAvIhWaKHpUomS0T2eUoAL2UqpUyQKk6f21qTEM3nv1nnqw/W0loTlQN7mL2LXYPL8wY3LKYqaca8Fa8E7FHqeS49OZqZG8rOZd6wTp2LofoUW/ZqXQ6RMrZAiDTxkzorUpZqVqREpBWHvmN41fUDXv+iHn/5ZdsHQJnJU10fS7EO5EZbqjWY1C4k1eEmfW4BJ3Waxk/PsykdS5Mez+y6yRcDkQa3ZQrPZrKMADyrKrDDf+y/T5KEy3fPsmWi8pXZ8fq8JyLUu//4D/iRt924Nj1u1iabwfeb8Cy1KnbnsbQzvSxVht2R9fds4KMqJyeetXmh6Kccri0p1XaXPG+5EXOXOuJz3e3EJFLzubur/P/eM8bRs37axFAkdGzNicCXUJF2kL2TjoHLZosXyZxiNJz9/MVg/nzKrQApJfm2KmJ4SL+d1FWM5ch7UOXw67zpOpNI5Rr0ElkUyTWb8cvrPOTGK052pQkBaMNkM+GSCyJOnlMcPOHYqcI52oor1giR4rYYgJGn1ktJncw/24Dynuvazi9usdFFnkkximRPeT/P0ee9QcTM3E6Mav5/Hnz04P23vPQldo+eut9FqpjpsS5u3MfgFZYO2RZ3Mv+DIteKbPB19FAGdGgpKoG9cFFGbcJCc1u2HpYnRUBZMHcG7OzRdROOLkne/6k6+w/50FC5W5IndqTMpUneZ8lwbfqzdsyXgZOdeDEcUI7GLUJkp1MUJ3bkhFvW1iMJn5Fgk+J1lr6XArS2uw5n3rhI9bkQhQ6XIuvKd4gCw57zY370DR0efNLj2GJmYmcfUeQyJJaCgcHmRFI9kTG2kilK0poZsBdQ7penR8g+N7lUGXJRSho8Vyilg1MejmQ3zLU7M+sRJu/0BGeXEza3QvqDEEg3oRqfuYyKX+Op1QHL3afYtcmQpFu1JYkgThRRDEm6v4vWorjMMk2WffCc3dcDvGwHFl64BbLIar5l8bOya2KlSxncZdAnKGGlieMkrHQEf/CXTe58rFpUCebALqSJJ0bb0YouHSXKjLk+uHxWq7AE8m/1ZoborADGhunsFGS5TBFpP+SQNy4RwpAIg9DWusxsQyGUvYyEJulpXnZ1wC+8vc1/+jPJaj/9HJmm0Pa5MYpYCwbZF09dlbzqMJUoKpUoJpUymWUos+s69cPLvayy9NWHVJ4YPj5ZXiDRECeCKIEoESTZ7xLYNhfzshs3ccmeKxgEvQLgfm0rzYkttz1z8I53NtXkL3veEp4bY4wgjFwGoZu/gTBypAimSOzkpY/Z8xELcNQ5sa6KHmbuEuit5jYbMLfOM5QZc2cJnYEw/OmnG7zvkw06Q9nKQnfb2X02JZ+NgsjnajMM4iEfPGPq0pkYBrNJyxzy5exbBvcQO5cymqPL9VABVloMJ/Ogk5y5bXJForHHU2tDks4vtJs3GUgMDTfip97UYWFZ8Yd/2aQ/5KiQ7deOkQ4xVpNnAM41uQSVXnhGpEVYIn0NQyW1WUu7zDS3IC9ay8yL0VBmSK5oQaxhEAu6kaAXWwnlo5mbaOKz+s6brt9z24mTp+21CjA+uZW7vvQfexdsWj66Yy5GOss47iLKWaNR6+E5sfXDST9tdv6GluvRLOVIil2OBJPlhE2pcUFmKfjnALfMwZ1lK2OkisHVPHPY5a9vq9GO0smYlINKZQFOKk1y5i6xtyzp3RLYh56XHhn5txmwh0/ScyO9aFcbsQzJBkwWe1kWF0GpKTnv+pElhyVrcZOlIUIKU5qrYrQijhQNx/C2V3W55MIAmSRgEjAx6Ng+mgR0gjGG2ECgITSCSENsLOBigx3Yn75OdGnPzxH9rLUtd9FGpI/pfXTVKh2P8i3R0I8FSwMI6ZGYVUI6nF5z+NqDnaM/9gu/3du5Y1vB4ACNrf+cRr3KX37mDj51WxcjBFW3x2/9SJcLt/jobiUdACnyKsr1fne5yq0cmI44Jvnvdd7IUMiSEqjziyApZIocTsNnrx1X88Rhl5975wRPHvQxrixkSaa9U/b2ZOF7OyX2fvaey40lyVBiR1B6VVD7tyRXzPDTYV98lL1tFZ3UKUuW2FymGU0pLLCFAWGMfa7TxoNMpmQsLgwiNFx5QcS7f3mNn/rPIp2HntNtamBnq4kiRqT7yaayqZTJLAbDpO6HzvxxU7gnFIuDQKRbAha/GzqEJW2OtIOIlBT0Y7jiwhXe8aNn8ZVHt6cYm72S6S2vJYl7fOCPfq1gcIDx5ibGGpvYNjnJJrdG0hvn0Ik5PnbnGGtdh07fIwwVcVywyYbglsMSZH1WMgOvLjF7OYAc8bnXgVvnAaYSNqHjuAkdI/iTz9R57BmfRI0kc2SWtZRWmqSumOI52Dv7LkNAHxkLMQT24VXtWyFvMwLsMsLzjqoyi61j9rJkyer2Zc6c2WTavMXNlDqAtEQblXblK0QiufqSgH/xhi4NGUOcsXjpUVs2N8YQGQgMhBoiLYi0ZeNY23uSsnNiSmxeZmuTTdAt+g3WjU0eOcaOAs+FegWm6zFve8mAC+bG8dUca2ubGQRbmJ6eY2JiLj+uOYM36x5+pXro2kv9w0cO+rvveyJkpq7ors7wzcc9Nk2KfG+brH7bmFLXfA4Iw7p0/JBLokfqTsr6Ww89LzsnMqsWFClzi7RK0E3oaXj/Z+p8/Kt1ggzMssze1o+TKbhdYShPqFLPxtqjjC0KYA8nc0oW3Lrb3yZPRtk7c6fW63AN+Sjj8mAgmUsWkzsnMmV1YQRCS4TQNti0pnr6M4MgZfPE4AnDm1/ZY+9xh/d/ukE3wh4wnVGuKeg3Y3LIvXBIFWzuiRfMnRVnZa8zVzL7s1lpQPZWZZknKCxUO4NdsGeHx4S/hQPHYwYhHJ6v0vUqh6+W/qEojvJjmjP4prnNHD9861eaTe/DO7aN4Toxkw3BZN1jre3R6iqCSBLHMt+BID9/pWxkVqS0IbjFSBJnHbM/B7hlCdxpKt5RMZ0Q3vfZOv/5fU3OLWcZynJgWWQsM/ZWwo4jG+7QKVc9ro/0R12UdZq8JElEuvQK8dzgzlBdBvLQz/KXImX0UbYeTtln1u26n+XMnmlvO2ZCa1VidIc4UcxNaf79j7f5sTd0afhpN4FJSno8zpmcTJOn90gLYgNx9pjq8jSezWeejzK5MYUmz5i8fOVn58WRAt+FZk3QrDustKqstHx6QYxbnaDeqH74S7ff8ZWtW7esBzhAP5jGsOWLp1fdx5Au9YqgUVMoJxswXnyg7GyWAVAUKG3M3OuqBstW31BAWQomU+bOs5V580KCrBg+e1eVd7yvyfyqmw51GclWptIkswUdYdYNsM8na/EczF3yuYfS8eXrvPzDv4tXWMpo5u7riFSB9Vq8GCuR2WijoC4HnGkAuk6uKCtV0udRoNg8kfDvf6LFd9/Sg6CQJlamlACvLSDKIA+1IMpAngaTGcgLaSLWSZXM485BDkMSztrMpI05gjiBdlfQ6kmqvmDrpvCxyebkFycb9aFDq8ov3vPeD3BmsOXE4go31NzkmrlJxcSYol6Fim9sCr+0e0KeeVNlZ2Q0kBwpe5VmyDHJfqdK2rwAd+amlGu7U2uwojl02uF33j/Go3sr4GcedzZX0M0BngWW1vcuZStzqZJuGSIoNRkXF6y9CEb2DBp6XWyWJbLfpcFevrGWLG/jUrqosntpHk1RtSjWj5uW2e9K82U2cLKyC1GWADI6PH7I6cmCZmFRNzamqVYM9z7hsrKaHqTyrWwZpRnPgvdKrW/lNxh6ts5jLX0uUUjf9DEbcJpv+ptKniSR1Ksu52+VX3CTvX/80lf91NDfdBi5vfEVFyCEYGnhEDrq4Lo2be+7dv+brABLjmrqIf29MbiHnJISTUTcywAAL7lJREFUY4/agfZvjoI7Tv9NjPI0h884/Id3j3PHwxWoyIK1R3Q3JWniZD2hokjmbDTje91gn2wyV5nZR1lbiOIklU/WCOA2ckmy01veC2dEsQzJj6zwyurvdHClEUVr4QiDi9RGNELmSSKhZVFuYQxaK/s5U7clGcS84toBv/VzLX793WMcOYt1VlIHBRhe/7UiEYJQZp9ZpFpJkBVnFYhOv5kW5HNXMsxn8p10s6msWlDYBSMWhjCGXpAQa0OrA71wDKe5B601o7d1AP/u178UKVV48MkzHDy4SC+ooKQZKsAa8rVzvWpyJtoQ3GIY3KKssUt2oA2GNgJ3Wmfiao6dc/iN/zHGx2+rEYrM7x7W3BnIy4FlOamzvhBsGJCUHnPC2kBzjwZDz3or/3LE1801eOmxLEuGkj1A0SNWdltMCmKBTrOXdlczkSeCRBqA2glQorAPc5DboNN+XkPFMbzlO3okGn79j8c5vigKxGwEcux+8WE2JCgHt9iwMG8U5Bm4rYVo/xtrdVqJLIUhSgREtmwhiBLaPY0cm+bya14WxlHytwN8bHICmPil02sXXnp2ZfVlk/U+VY90n/e0oz1nW4aAPlR0lQJXyNLrUeYeAXfB3KlLIobrTRxHc3zR4Vf+cIxP3l4jlOnWa6XG4WHPOwX3swzvWVc1SAF2KUaYmDJRF65J2VUZzvb8/W/lUcqZszJUVTcC+DyDOeSoMMTiZI5Kzt6kfzlzU/J3st64VkSxwVUJb3t1H0fBr/7hOMcXvULYZs0SG4C8+Fm6MmVANoAcLtNC2/JaPXoN2NFY/297Xx4nR3Wd+917a+ltumffNCONRjughUUISeybTDD+ecGGYF7iPCe2g53ES+zYIe8ZO45tEi/xi4Md8mwcnPdsfgYbg5c4QGKEhLDBCDASQvsujUaarWemu2u59/1x61bdqu7WjISEgJf7+/V0d3V1Tfftr05995zvnBO72kXJHZIunzUnizXX9D3e1TPjE2Mjxaq5pMkNhDRh4zP/Uexqz29tb7b8lM2Rsn2kbA+26cM0gmqtTKcYQJV4Sl9sJuWwMXD7NSy3RleUFTd8HBpmuP0fFbiNCNzEqLLcIERbWCLeARgCurekVknkEMAJq13LWkePxdSW/LjIrrbgSFhwgAQLsGgBGQdAHNhh6WXdkxJGRmmUpV/lJ2cy0ukzGD5w41Ul/PVtY+hscgPPihbp5Fr0E9K74nPA5YATeFdcIQVSfnBCxrwrUBUDavnJSehbd32g4gIlR6DsCFRcoDhh+mUns3XdY48Ve9rzVVNq1JpnRgHPHb+to81czivespTl1UkXSuZXarREuzFlzUkty80TljuxqCQeKPPhG8D/fjiL+/89A0dpV6soSZyaWEGk0iBRjmUyYhkDLtVcg0kPik5JkrcQ1NGZcSKGXKchIaZjQZ14Rg8SVlzW/9O4uop2iqRHJbD0ygcuCIig0nJyzYIHvnEigh7fPmDAxzuvncTW3QbuvKcBHhAUB0IUlozCkwAY/ECCQIDQSsd5t/zURNsnxsmD76SuTvp5P86BtA10IPXbo0PjtzU3NtScW1pr49Lzr0Jzw7g/c+YM0dI4jnS6iIZsGbblhRZcuu6qfdp6mD6+LVIERpa8mnMriy4pigfKOIgBPPJkGvc9kkElVAQmIpUhuElETRS4odMRPUsnChHHKt7WADmQBDOi0HzwQlUUczrgnmJjXIxFNNATxBJQ9OAPj4JAsQL6Mddi1L1NZgUFkc3Q0svuEaEbkVNYvsBN10ziqpUlED/hMkxachFZckcAruYnlx3j9KKiiGtSEjc/sN6OJy34aJlgxOM4ViaYMbNP7D9S8m+4/uqa81vTggPAzDmr4biT9/325afmb9w0mX3n5QSmQaJLXJjpkeTe0BaRcU9JPDTvR1SE+XFaQj1pxQ0Oagj8ZH0an/iHAl7aZQfuQM1a02pqYmjURJU9DsuwIQH0EJ8i3shVYVeBOVx0JnhKDUDHHWjHAXeNUH2CmUT7ablcVfqUsFyDnqAsYvdhVDPQlhCZ5wUS9LpUVpyA1fjMAgADg8A5/Q6+8uFRfJwCP1ufkRPKUG3JwxEtPAFoVlq2GtS3ESKttVJTcm0iJI2RJ4fDgbddMQZB+/C7N14Ly7Rw+0dqzzFFncFSs8VD/775fw0UVx3bua8Vo8U0GBUwDQ8G9UHVylfZkzAlTdd8a3QlEZmMwM3DxWQooCJBcMcUeGhdGp/8egEv7baDbPhqOqJbb0aCbsQaJYloiQh9yHWTGJDcRmpiOgniV8S9dSDHeDiJRTWrAz3ayZDQpYTNq0KLrSKYie2x6rVR97aomxsL+TjnBrjDsGiWhzs/NIY3XzwpNSv+9C25EwSBfCGViLUsdzKZhgupAa948orTkhFY0JLCLdeePdrSmPt6YyEv6s1pXQsOAMvOuQDlchFNdAsaMvvR1jSGimNgdDwD4bEwmyICh6YMTAqpwlA9P47llrSEGRzEkFHKv/zHAjbtDMBNjYTFNmKWm9KESxA1EoihcXBoNAQ1wK2DOOE6TMYwYuDWPC310RztorsJ5fNkqbx4+YhQpwKSsOYiVOgpHk5C7q3XWCERFw9U2oTK/SFopEAMc0BZJIYhAnCAc2a7+PwHxyAA/HRdJrCKiOtWkpZcEDhqPoW04GEHZiE7t4ngvIaGLUpk2P9oSaDiCnQJYMOmDqy+4uxRZ2Lwe909fXWn+bgAb27tqZDKbz/QsNT6wUP/Wcy+tD+F37mQo6+VoeIaoXZbXTojr0TEtUN9CtPdfvUst+TcMICfPZnGp76ex+ZdVgDupOWWyQsISpCRANyqK0MsO14HdVIxWMtLUuO+Cr8BqklsY7TjtLm4QrEG9uRrSSojVA3BxOIzpisnOkUJFqKCggiugRwBkHngjaEA5yCxPBv19QT8gIIQAHCAxbNd3PmhMXAB/PzJNMJoWBVdCb4cZ/BpAHKuzXGQ9cOVy1ybUkYAZgIVX2DZ3BKuu2gUL+2iKJP+icMj4gNnLeyoHG96jwtwwvfz5rbep3cNXD/2nZ8PZBtMhhaLgS8CCjkPlumBhhG8KIATWfFqSqJOCrmg5DXB/W9PpfDxr2m0hNbydas0NBIW51GlH0KFINWoST0AJ14PM+UJENY7CfeNiHlISZKWPOY/TBD5BKarAK18IaLGfmFQJw5clX8SgRiBBSZhTW7dh6x84WoRiiAYJIv/aJY88LSE3Jww0EBbEp5xDnBWn4u/+9MxCEHwyIYUfNQDufoiUoVIIH32uvWmQSkMJi8qoUTWNgTaChTnL2jAeTMNXLm4iOb+i8fMzMyn9x0ZrA5faoMe70UXPSBG69GhEXbje96ywr1gnoGWgo2Ka8DzaXC5jH7LZJ0T5SJMJgyHVjyIUCpwCwP4j2dsfPSreby0J2G5qVEN7kDrERNSEXnWMiIivbcG9CigkwBz0g1YA7D6yVHNQGLpDvE3TXdU+bzjJ4FI3HSft7Le8eim7j2J+86lqjDyqMQb0NKweJDSjfuBrzz0sPiBh8UhOGuWi69+ZBSXLy+DcS/hXVHeFsXHNRUiB9xQNx7kV4bR2uh3kiAHjg1TrH8ug3F+jWsz3DijvfFob1fbcaf0uADvajNx5PA+rFg2+8B1VyzcuercLLpaXKRtL5atI3/4yD0YVwNyLSyvZ+F4VZb70V/b+JMvNWLrnlSkDIyBO76gBI3AnawrWJWKRhC30kQ/KRNuQaBKPVjLGIfCIHJiOD4Otqsoip74ECkNA7mySHLwKGmA6wtO3R/OE4GgsCIWjcCtg1nEF5tcUPgqUSJceBLM73Xx9T8fxVUXlsF8r44LUd3zWNKEqy02FdAV8VVuwpLDcWCwgl0DFnxz4U47O/fArt37QEj65AEOAIwxjB355Z5CZuKPFi6YjZZ8CS15B5bpheCOAjy6SzCw3GGhHh96HUEVxDEsHzCBx55O4cNfacTWvUG6WU1wa4vKoDaJEYBb592h14TqHFxMa1GpW+da+u9aC8zwvqYJPwGE1wB89JjE5bRasDtGY0BitCTeVDbyi0dBIRp5UQKXYSir1bq5qVYpUnYb+Mz9COTCoZjf4+LvPzqKKy4sgXq+LNpdFfFUzwOQ8yDHM8gMirwqyhsEOC4wNE5weMjDzNnzMTji/NF9D63fE0vwrjOMqXZobZ+BSnkSlp0+NFFZ/0RxxwuX+OVRFDKpKByvFeVhjIcJwTQsqxbPnwyFU7aHvccYNjyfxh13N2DrHh3chsa5dXCzENxmFbgjnUlNQFdZcVEXvMpiC0Q7RBiuh2AR2oxkAsTxMK28UfEXI2+JvnOQWRlzGypLL98ScfMwyyeIYEbbZeYPaOBdCWuOA6pdMaU8zOvk4Fqp5WCouie+9s09YMFMB1/7yCjuuFvgV8+nsPcY5CU26V3hAKgBDooKl74USgRoUOeFEQEe/A9fENgpB7O60rhkxfwnrrr84kOTpRKymcyUAGdT7gHgc5/7G1xxzbVDnGSKv97ivev5lwYwoyWFlOXDNj1Yhq5R0VtlJ8EdJCsQWfF16wEDn7+7gK/dl8PeI1aiZrcenawGtwrmqJreulKQ6mXYtMpQydYhYRWpmtsjvbdq2RJps2towZOacE0Prhao+vOq0nDqc9Q8Eevfx7tM1KBhseNVL7b1SFZM4o1arRDjp7iiaEojQyCB29bs47LzK+js8rFlu4GhYYqo4WbimMGJyINjs3Cu5G9pGUAhS7B6cRm//87FmDVz5p8PHd2xrr1j3nSgO7UFV6O5tR8NuYanF893HmyxJt/K+TakbR+WKesAmqp7cFjpNXgcuga9MEpppHxsP2jis/+UxwOPZFDmhmyKE1KSZEDHiNESkyQlsFp+pQZoPYFAz4qPWW+CWART/3HjtEU5ZhM/eI0Vpaqwob9W14oHh1W+X5HYsWaEU6MbocVWxwkXk1LjIXdRvnBZfRaBzpoLARIU0FQ1RygNotQUIFxOFuVUGvaEJRcIim9CUgqo6LbroaOJ49brJmGbAp+5q4AdBy3ADr6BClGS4PJDAJ8ylLmcXKFUjkFcJWtzdHQsRveM8x/s7F3wNLzx6cJ2+gBfsrALRw4f3HPlpSv+bFNmIzs2WLnBMIaRTTGACFmHW6sRSHW+TbyQnjCLY8dBE3d8M48HHsugTBiQSvq4q6Wv9cCthFQ6uPU+lrKbb8KyoYa7MHGfRKSqfKoZvGoePhWajzfq+cIRdw8iKORXDXiNgiTcg9InDk1Oq0pPEMVIAspAAQ5QykO3IzgFKIfgsu4iYiAPPgiVcAyi/wAAt+zDNjluvLIEcOCOfypg5yETMFV4XkSUReoH4BMDJVD4IOAQKPkEDnXRk2c4OpF9uLN3xZ8dODCwt6dnxrSndWqWro32zm48vXHdXp4578X7n+zB5t0OGOPSgpsuTNOBabgwmCt74lBXWm5l3VMcu1WywiNZlKEqTyWBPX1ws5gF1r0n8cTh+GU9oRpUoA6QS2qcBLrljnlS1N/jgvokEK+5y3TQJ8P24SJB218tSrlAjcWmtsBEFLKP5KpqsRmJtFQ+pwgXmNHCU5WekK5DAx434HMDXBjwXIaUAN51TQl3fGAUs9odLcfTA7gb3BzAdwC/Au67qPgCEx6B4wNzeybwmfdl8d/eseTFHdvW7u3p6TyhaZy2BVfDQQ/yha47ly3Y128akzdNlveipVCCZVWkrhuyOieBcg9KS+4KgV+9YOMbP8zhB49m4BCmFaOvZ73J1OAmIkZLQmAikfNYZ7Gp40+dBDouY5Ydkh9WWfeTxbGiFXVeij0W2jZV30wrLREm+ZBAUBW0WUha8VCnQlVoPwgOQYTglxZdWmzOeWBp61tyRavk/vGJ8TzANDy866pJgAvc9UAOG19OoeILGb4kPLh5ACjgUwhqwmU2WjJAf1svUtml982es+hO4PCJwnV6i0x9fPfbX8M73nx5JZOZ87NFvc9cRumhmcAYHO7C9V1YhgfT9ILCPhzU4CgJgnt/lsX7v9CI32yx4RImm6/qgRt9cUlVhFIuOmySCOTUAHdS5800Hl4r2BPfpi04CUFyASq9RSRMBI4SgPUk49oLS3WjsedJX3wNClVjH6qScOskaeidJmrTL1J9kusnuH6S1lxoRqWT1Y4iZlI0ZItou+DSMJ01x8Xbr6hgaIxgyzYDrtK2CAEIH2nDRUu6jLxVRtaswLIJzHTruve+9Yp3PrNxx/isvgtOGOAnbMEB4No1V2PLlmcmufhd518e+DYefRoYKqbQknXxl+85hhsuKYGXCagJjPsE//JQFn91dwNGiqZWhF6F2mtZ8Cj8bpGotZ+Su04F7lp9LWVpC1H7hw9vpOpHjnwG8RHj66LWe05wKCoiSLhKjbkIY/8nSAML3YO6a1DXpkRWPcbF1TEDVyHlgXcQCGv2RG69uCUXPgWlQh6LAlRlBusTg3iWPSjgeRSUeWht8PGFPx4DowL3/jiLCceQvLwMXL18Ap96TxGFNMGREYFNe+a5i8+/bNML+4YmL73s8pOZ1ZMDOAA0t54NgP/6D9524cpHnnHSh46kYLeOg9Ih+T0ZsG3AwEOPy7olI+Oqw4Lu345XfU2qAg3NakfSV2kzkuBW5Y6rWm2TcM6nFFHpANVtUpVrrcZ7TuWIgjxaE1Z9u0ZtQj84iUAPohajiqIILU+ZhC/r9CZc83E5nzymJ5EaFeFLGUboJ+eq3ICIIqRUcnuqm35BAOZD1Tpuzvn46/cXkTKBh3+ZxvYjBgADLqfIprNoa8xgdJJioHLJy8PPHPzgtav7TnouTxrg7a1pCDF6u21fJ85fMPyRVmNnauUyCyvmpQDPwYbNDJ/55zwef95GxWMRuGMLSV3+Gl3KlSowWRgzyoivttw6uPVSD9qFsgrsCptJ4OugDbdVBWOOY6pPBvDJK4GG6rD2jwrPExEuFFWNbvW2iHNLwCswQy0uAytOEFl2zmXUVwRfWAReFR3kJCiwH3HyQKRFZNF+SoCwM7IGdCF8afmDEwEc8FygOevj87eN4dpVZXzm7jye2mRj/ZZ2/OvPDCyfZ6B/Tl/5j299y8OUZURny9QBnXrjhDm4Pj7zmS+KRedc8kRnU5rN6cbKxX1F1ts5gWe2cXzyGwX85zNp+EKVkdIDOInHhIISApNKd3hY/VWz4mEmfF1aEg+CJB/HntPq53rAROftUZBGe6xtr75XRX9OkIOjBudO8OuqHNLEaxKfCZ6tEezoBCax87NqW+J9+jmrFJUi7LGp/gSR1FBSoI4a526RYZGlSOb2epjf62HLPgsHjjYCThodbb1OZ2f/nXCO/HX/nLO9V4LRk7bgavR2UMdD3xdztOiUJ7Z+9sv3m/Snz/Rg44sM8MsA8WWHpzB4E1SdolExeiV1jfu2FedOLgpFCIYk506CosotqE1w9LPEH9elIjFyrv9w9fdPvKXmCC0zTWxUtxqWPRnaj3aVO+sWXHO4aJkyAnrWTLQtKJjPuSxpgjg/l6WOOVRtFVAKEdRVESToMkFlTRZBeOiulElwfnQlpYFPn0g+tPJsii99oIwHNwzg+a29vIyWz1qp1q+8tHPEeaX4PCXscefL30dLIXX2L3998PlPfvlZNu5k0Ns9hkvOOoQNmwxseDELl9oAsxA2giJy8aIWkUwDdlJLUhPEULy7GtxV6sCE5yS5r6Q0JHEiqddJvFybel33nFB9W1SeTT0mhITNqtRrTH0OqmnXVb1ErSweC3IVwxo0BLFaNLL1YrTojgowcS0/Vu+0oY6TqARcqzpZcjvkewni+1ZXNNMrCEeSDRnl9mAaDgh18NRmhvUvprFifgN6WvMYnahg5/hV/qg7Z6lJJje996YbXjE2X7EFBwBhzkG+o2Fboanttg+8K/eNHdteoBefR3HlKhdf+j8entmUhYuIexNKIy0JFVq3hXgGThRGTwZwlNWsD+6a+ovk5RbQLsnVlpgk7qc2CafEXsTnFpERr/WCTPoKbLCIPn+Y9kYQJvKq44Sa6+AzKxbPeUS9QHl4UZHbVd3C4H+E23j4mggqZAn1nCpRGJX/Pfg9ePB8/fNZ/O293bj4vAwuPyeDlSvO5RcumXPbsOjeZvPhUzJ/pwTgc/qXY9f2bc5lF6/61sTwoUxvU+NX+9oOI2dRmBQgNKImhDKYFEiTqOKULnFVIAsrveoghkY/1KKR4jiqwXhJZKD6PiYvqYHPqv0Tj+uB8pQNHeHaY0E02Ce8KoqWhNrxYK7UySAEUf2lAAX9GO+RTWRBIy83VSdBcBIpEFMqczdJMPGywZUK96smtfGwFaMGQDx4PkWxYmPzboK5XY04cNT+2OorLvrWrl17/P7+Zadk+k4JwAFg9tx5KI4e9q+6Zs2Og3sbis8/t72Bby9jz+E8HJIGjBQoM2BTIE1Vd7PgsgodoCLxPLkQ02qZ1NlHnRjhcVCbX0dAJTFw69xcH3VdhFX8fOqhW9uq1zDFSaIDWO0vAgurHwQa2BMhfxDlGpS6D0oikKslQWTRES1SgwWo+p2ETyKaAkC18eZBOhqlFCzI+VRSAQLAIhy9nQ7m9R/DuQs7sfqylcWrVl+4Y+/+Ab+/v+8V41GNUwZwAEil0nhs49DD83pWfHBIeH+/9dnvNa/f6MCjGViGIS03FbCptN4xzQgSFCIJzMTikgCRK7CKmogqIMeEUpj6MYApLXXVUILDmu87/sHENM1+qCMJvmOMlgQ+cH1xGeVtBtY7ugSoJSkQgDwCrvZchBqs+DpYyDmP4lJEm2/ph6SQBT05pWDMj1ybgoJQhgvOmsCtbyrgPW+/eqirb8mHGTnwsM+7TxZ+NccpBbhpF+SX90e/23/Tlca6Dd6dP/nVurZ0ehKjroeJEkOGCVhMuv6SbrLYr6iBXa9AVeUhARLWW8S3xRAbXF5RA8wn+F2Ph2GBEz/edIYAQtXucfcJH8eLXAqReB5+aHVmJvS6wWYZrJT7ERHNa6h6DeiS4CSaBnU1DmrRME5hcApqOhieNDA+kIOdnoGLlr950Mxf9xeHjzjf7elsP+VzdkoBrgZhBew+OH7PrP5r6LvXTH5h/Ogv2x7bPIH1LzYjnRKwjYiOhO8h8ehauB06744DN7YNeo/OasoSs9TTAaJOO0j84fG//FQHfqWTe+LHVoEdxdNjH1Ln3iGXD7LvSdAmHJCBnxiNJCHYYyUron+izbXMyjcNimyqghf3uFj3bAfe+eaVg1dfcemngOI9hDSdluk6IbnsiYy+7hz2vbz2W0vn5z9x3aVtQ215B3mLoykjkLM5UoaAaciMDdsIsnJostwD4h0OaPw1vfZ4VSeEBN+u4th1qUTV7rHnpwu3tV0ldUZiv6npTY226yICZqzXj6pbKBJ9N8P+OrVbpIS1Dn0K12dwPQbXZ3A8WUNnomRhbCKFkmPh0DCwf6x76NCx/Cce/PG6b50ucAOnyYKrsfqyN8EZuOveI8PtTlcb++a8tsGGtoKBsUmB0UkRJgMrK+Bz2XslGcio7QoUQXg4bqVjEbqEAVb7TGVgk8DXn55O4zztUeMD1Fu0xikLopODKI+KPGDooBHaXAoBX4/CQvbn5DTwqpC4tfaFbCni82gxqUr8jY6bGJswMTJGMGvG3OLssa4/eeT54vf/+XO3nNapekWh+umMtnnvFi/tK2zOZ3LbF85K39DdNGJM+gI7DgJZS8BWvaPUpU6VRIh+h1ioPaYk1IIl8dB6nQVrLd6uvALqMdW9BonwOCE1HielsbW2KRlt8hjxBXLy89eT1KrPV4uyHfeG+P+HisdqDCUKs0eUI6Q1+qJd+33UopULCs9jcFxpwWVLcYHGhgo27+Z46rcMuca55dm9M/771RemfnBuv8+/cfcPTyv+ThtFUeNP338LFvQwv7lpzgMXndt268UXNZfz+SF4XLaEy9gEuTRB1pbRurBxqIhfiZUHJRn0YTR+Auh8uyatqMoHO8Vf+FUy8Sf1L/T1Y+g2jFOOkJ5wvW5KkB2kFwoKDxlELIPW6z4nmCibKE4amKwYqLgMlAIDo2PwrI7yuNd+a3Nz/wO/+q3tL77g1tM+T6eVoqix5rq348DWe/3uefN/ePe/Or9X4eZ3Zrfuz5iMIpsiyGcZfA4M7vVRdALNdxCm1q2vnkyc9KLEfjjNIiVH9MOgrnpPpzlT+qSP897TPqbxj6bjKYpV0Qqli5orVlmLoAWJijEpg8KCMn2W6cHxgEPHMvB9ikKWQwiOnfszuOyCWZMOaX7PNWtu/uHYl34g7vjzm1+VKTrtFEWNr/zDjzBqXY3bP/gPmzvSF+wyLffq3fvLqcaciZldFs5d4EGYw1i/xYZl0JhlVtqNsBwEjW61VHkxj4dIbNPpS03qIfelye0I3GFVr2n39AQoikZH9NIV06IoqN5W3VIwfpwoUFPtuVLArm4PrmqlkAjw2v9TmhjGOEzTR3OhiB8/TfHU8ykQyP6VDbkKjpZaR3cPzXz/u28eu29w5xZcf/3vvVqwe3UsuBp/f/vNeO81X8YXHuj53qLeZnPlKv4VTOxumdk2hKXzR7B9cBy+lw9W6iJ0G0p6EoiLWDUtCXAcapvVSLa9CC2YFtquadW0cLe+f2KX6CowLVoS36mel+Z4x6l31SHH2x+Aii6GTxOPZUcINX+yRkm02FQZQxTS3SeFVCJYsUZyCAHLcDEyXsJzOz14FQ/tLW1YsGjhsd6u8keznZPfK1UKaOv/w+kD5hSMVxXgALD4wo8BAL49PHovpYaxe/tTXywPPdj27PYR3L+ugEKWImPKMjA88Hkoy6FbbkZJDOAqg5xAFlvXO+WqAEmoStUtfL0xFajJNN5wkkNfP8Q21nux7r/VUvQQrV9AIuGVvMJRcASNobR2JwAJ36Mu9epqJFh0TCEIKo6JkWIDbrx4DNv2HcPoWC/mnb16cPaiVZ90XfdeQgqnZG5OdLzqAFejqakAIca/veS8i8jmF4e/cNc3H20bHAQWdQpUPIKDowSWIZu3Ku+JArfBSPhY/VDKensiqASsrFL4UyM4aSLvg9oughB2NR2PtgqBKLCBepZfBCKokxu13ql7g9QJGoqb6hwjSdXkcfRWj/Fjgoiw+4PHqWzYEOjFpdRXgAsBYXAQX0p+jSAQZJk+TINj4FgOg8Np9Hb4+PR7PLw0cvHgylUXf2qsJL7d3nxmwA2cQYDLSc9h867itzz7au/mtzR99bkNTzQ12mNob53EiwdLeHxjHmmDQBbwlIEgkxEYDGAByGkAOM4BzxfwBYHwRawlhvoxqQ5qLX2x7qI0IRmIbUqiPElrqg9R/f1rPCGofkMtRaPajdS8kkBbnOuSiLi2GwjqoAAgvvSSeB6B60tLrv4no7J9eziPFOCG1JtbZgWPPy+wZSdDZ1MG1GrHhReeN7y0dfnHQcb/hZDW0wmhKccZBTgAnDW7AY7jfndm2/KhB/iROfN6/L813Z+Yw24FHs/DCIBtMMAwCMzg3mCRJQcIfC77JroBuD1f9oJRYWpCZLYJQ1xWOhWHDrPVA8CEJdIC+x7d1+fzU/LqWvvVOFmm4umkzja9bnus812wyCS+jEByQeB4FBWHwPflB5DgJhCCh2lqlAAekwEdgwnsOeLg5087+MC7VrlGxvoEyV65w/PTPzXNMw6vMw9wALAskx85tP3h37/5Hdahg7+eXPubS+569NlNpMEUNG0BtgnYJoFpSFCbBmCZFKZBYDASLpQo4Sg7PhwPKLkkXHAqL4zq1RgG4HRt0fEWnsFJoCx+GDWcxokxLcJS02GPhDM/sKCaZa57HPU05j2JLDilAgbjci4AGL7Ubk+UDEyWKUplAi+o8moaApYpAnBH7U0IYTCYifHJFN5xGeXLz1si0rnZH5o7d8l3tu086CxdvODVBVGd8ZoAOAC0d83Fk8/8xmnKN313zJ/zywsWsXeOHjvyuaNHDiJtM9iWstaSntgmRcqmsEwmW9UTIJPmGCxyHBqTCyVGhKQ1VACqOK1QWeaIqEmdBSW0zRLUiWyCKt5S5/kJjgjXojanjlEWUedfBSdE0tsRgNs0ZCc7FrSVyWUqGB1nGByxUKnINxqMwDZJYDwEGCXgLoHrSQrjcw/ZfB86Oxr/56KlXT8o8cI+IjY7SxeveBWRc/zxmgE4AKy64HwAKH3lrvu3zuqd/8WWeXlr8Ej+9pe37WGFrI+KCwwXOVIWhW1R5DIG0ikZEbUMgVwamNFZxOG1Ll4+1AgLBvKmQMpA6CqjhIBC62CGOA+vBkt8ASqSt1MduSQ1H4bPo8SC6s8e76cZXGpodBzVq9RgHIYhKwOnLQeMlbFzwMejGy2MDjNkU7InqmVRpG1pPVI2Qdr2cGwEmChT9HSYSKfn+C5p+Zuu+dkv7tlS8vsWnfMqIWX64zUFcDU+etuN+L/3/ci/5aZbPn3g0FHjPx9f/zFMPGs/t+sINu+jaM4TZNMMTQ1ALsNhmwIpi6OQc7Cy28UVy4/g5s952HawDcgyUCK9MaqgutAWnlEIozZOQxejTk1iLybALgBBTx7zCrzhfTKwA82i1xvqcygqpnlPVIc7k/mwTQeFhgnsHijh/V+egXIphbltLgoZAtuS1ruSNkCJiUIOaGmcwEv7fQwXe3HJJedWFi9b9eVUpu3TG9b+GCsvvekMo6b2eE0CHABuueltGDw2hlyK3X7DdVdSVDpWDv3w+7Rjd3alxYpGS0Ggt8NDY4MrpZyCIGX78DlDe97CH1w9gr/6Tg5lPwfXILHgEaBd8skUgNEWo7HSxEBQgEd7kQBi6q9Wc1S5t7XPpLv2oPzYBDVdhXohzvDzB+IpmYkp1yqMydA6YyXc+2gG+4Yb0J2hqLg+iiWBkQnpgWrMehBcIJcmMMwmz8o4G65ddQNfeM68DWPj9HbfHQUzz5wbcKrxmgU4ALS15NXDT33r3geRy13dcP2VpbtF+cC7Zrbuo2nrCEYmKdJmBinTgBAE5YoJAhtXLi9j6foJvLAzB24lrHYsjK0V/EmgLKQfQcPSWEKGxllOrV4r3lYlAnkkLY5eq+bfKhpJWFR6m+pRYW3BmbZ9vLCD4LGncyDcQMaUxys7BMwCTLuCfcMCPilg8dm9PNvcc/9N12XeV64cLDbkzz/T8JjWeE0DXB/v/b23YvfuPUXC0n/ilfZv98bXnvPI0+ZbH37sMG5YaaK3U6BcNgEi0OKaaGwAOpqELOiOWh4FVFXHSoq2Qq1G4BYMy5+FfSg1V2M9110d357e47L2iLwmlGoUIwR5PGAjj0nCAjxcSx8TVJ2cca0JJQQDQwyjRQM5E8ingdYCRckV6GwGrloxhjHej5f3zXxw2fkrXpw7v/trxfFysW/hrDMNh2mP1w3AAaCvbxYAHH3iNzv+RyF/06xM8w6suXTXW+d0/hrrnh8H4U1YfpYJ16N4druFp1/KIZchsAIpp15jJSrEo6kTgXBtpiKjYUoWUeL9ANhClVuQn02EfyPUToeH17L+ceGXZtG1wj+6cCrs5gBEJ6G2OPY5AeMUgkddjn2fYmzCwvKFk1i60MHGlwQaMhQLZgKuGMfOw82YO3cNli3tfdDKz/0wMLmHkI4zDYETHq8rgKtxyflzcOjQ0J7rL1vy8aHB/HfbGjv/bPfwzksP7tuPcnkYoxMc9/wiD9fJoCPvx8ArF5zSn26weAqcgiSHCLUtXMTpgupno1rcCSZqOupinpl61AeYMtBUpYHXqlqpSwiHiDQkiAJSkTs0Cq+r7a5nYKTI0NbE8ftrJrF1rwcIiuamFixZvASj/ty16aaWrxmZ2S+US+6edKbvTP/sJzVelwAHgK6uZgDYzrnYTsjiF/v7Hu86b+myf6KVF+duePYxtmV3Gmd1C2Rtgr0jQNkjSJki1LJYhvSn65xWhfI9n8AXAh5HUKFV1k8M+biiJ7q/MBhxz8wUNjzphdFfS9CpyHorRaWMn3IhwD0ZVfSDRARKpCbG54BPJPApAfzgS5iGD9cDDh5twLHRNOZ3DeCKZRPo7brSv/zSs7anTPf91yxZfQjAVkKmcx167Y7XLcDVoBKVW48eG94qBF9TGSczVmSW3P+WQ+vzojyYXdx/DC8fKeGn67LgQurMLROwLQKTySCGz+Ul3zQIGCVwPIFSRaDsSPNtEAHBCAwtikhFPEwPIIbpmIa8xtBdi3WrCSCqzKWsN6Oyya5hCBiUh3uPlygcVwbDTEMuPDxffj/Tl4Ee06QgBHB9Hw8+KbBjD8VVF7SgqXX+xKc+tHpsx356Y//s/gOGwfa83oGtxuse4Gq0tjRhfJLvaWlZvo+bxbNveZt5US5N7p4obsntf2JzY2tuCJ4r4WgwIJcxkLEpRsd9jI9zpG0ig0dpBi4EDg5XMDJBkLYA2xCwiEDY3psEzREEYu44AhKjM/VEUmr/0HprxxHhqhWBq1BowA4CNVTAYj5sy0fKciEIw5E9BXBB0JARsEwgbfsYHqMYLhrIpgQY9ZG2AN8HJkoZLOpvKM6cde7QBecuMZoayB91dfc+1TOzcRTwOSFvGFic/pzMV3PkMhSUEG7SieH+vhm/EGNb+voX3fCxP7z1g5ve/faLNvbMbH+uoy1fbsxnkUtTzJ4BdHROYGiyAsclSFkUbU0GLj3PxdKzRrB3BJh0SCAfjTi5LKEgYhZXjbA+OI2SkGvHR9VxEOuGFjsWIh0NY5pIKlD3pW0XXa0jeGr7ONa+4GBwyEepQmCbAoWGERw8Nojt+8oYHhMgNAtmNpbTuebnaG7VpsuvuO1vvvTNe+akMw3zs/nuXwwNV4YJIW8ocANvIAuuj66uLgDgR0c9EEK/bVnOPabJsGb12ay1KXdXpVyePzF68OLe1r3sXHsSOw+mURz2YZkGGhsEulodFLJlVBwfHjciWS0gpaQBEpme8KdZ66hMcqAoEXG3oJ6koYu4WA1zQwiCVo0iqDwgk35BBBgTSKcqGCsxHBri6Gr00dhAwIiDgRGO/3jBQkc+i+Xdvf7cRb3r0unUVuGP3kYmJnzLymDtj+4RbR2zJs/073U6xxsS4Gq0FsKvp2yjNzw8+j7DsJomJoY+P3Lgp1axOOz39XSeR7oy56eNUVAyDkbGMFYSUsFIpcjINgiyaY7Rko+xSYaGFJCyEXY+C1kFIWBMajlk12AB15M1+ggIKJOSX58DjievBIwFcUbthBFBsR0IDsvkaMi4GJsExsZTyKUJbNuH61FMlGxkLRfjpTKK4yYoy8Ju6ESajf2mqTD+7Ly5c9mbrlvjdHa0/mWpVBluyOenO31viPHGWEm8gvGzf/slAFwKeNdyr3xjITOxwDIH8Om7t6JStOBWyihXXHS3GFi2gKG1fRg/WpsDcUx0t1A0ZBl8H3BcjpRNkUkxpGyGtEWQsgHf5zhwxIPnC+QyBvI5hoaMgOcDB4548H0gZVPYFkPaBnJpgbQtUHFl8kEh52NGRwlcjOJHT1A0pZtxzmwP3e0TEMKEbVvwSBFrt6xAV1MjZnU3vNzanL0/kzH+XQisXXTOJWd6is/oeENb8OmM33nT5QCwdmhoeC1AnmDMnbP30CCfKI/y61e3zG5qbf7k+md3YlZ7FvO7B7F07n789FccwyMNyMxIY2YHxcBIBTu2C/R3GTCZIZV4JtBS8EFZCT//jY/WtAnLpLBNiq5WF035IWzclgYVFlqoCUYFHAogLdDdNoEXtnMMHEujr4uip72MgZFRPLS+CW9bnUVHdzvaW4+ijAUYGZ744oLurbv6F19CTbODZtPmDkD8Il9oOtNT+5oY/98DXI3m5iYA+IV67paHYNipxm3b92wYLfloaci6Fyxd8JHmwnnX3PoOgdK4icmjmzCjdRgV4qPoGMjnsujpcDFwtIRJbiDT6SCVGcTm/QTduSY0ZgVMxtHdMoL2tn3YN9SLPANaGwGfexgcNtDalEZP1zBe2CUwOJLBjK5m9C28GJ1+GX9B8ugq0EfaO0tfbWjImGlzMZq656x1RGlkTu+ZTQ17rY7/AnidYaaaAWAEwEMAMFk8AIBsAbyOledy7jgCzz61F9nMKCwToIzC9aj7O9f23/HkRu/NpbLtzpjpI5drw+UXMdgsh0WzbMyfTdA35ygsuxnLlnSh0Upjfq8BZsLcdtj+CcH2O2ybmIZF4AsGauTQ0rEE1ADWZG1qG3RAALtm9XWd6Sl6XYz/Avg0R6ZhBgDsCm41x/ri/aAM79u8p1Qwx1Mim+PI5YCZ3RREZNDcYqPQSJDJcVBmorO9BQUrg7ZWBmJyMkKbRgm6BxZedG14zO8D+NhH//RMf/3X7fh/hlL1NfbwRPAAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTg6Mjc6MjIrMDA6MDDr5qNuAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE4OjI3OjIyKzAwOjAwmrsb0gAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 55534477
{'hecke_orbit_code': 45036477360375360, 'n': 1, 'trace_an': 4}
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id: 55534478
{'hecke_orbit_code': 45036477360375360, 'n': 2, 'trace_an': 0}
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id: 55534479
{'hecke_orbit_code': 45036477360375360, 'n': 3, 'trace_an': 4}
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id: 55534480
{'hecke_orbit_code': 45036477360375360, 'n': 4, 'trace_an': 0}
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id: 55534481
{'hecke_orbit_code': 45036477360375360, 'n': 5, 'trace_an': 0}
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id: 55534482
{'hecke_orbit_code': 45036477360375360, 'n': 6, 'trace_an': 0}
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id: 55534483
{'hecke_orbit_code': 45036477360375360, 'n': 7, 'trace_an': 4}
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id: 55534484
{'hecke_orbit_code': 45036477360375360, 'n': 8, 'trace_an': 0}
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id: 55534485
{'hecke_orbit_code': 45036477360375360, 'n': 9, 'trace_an': -12}
-
id: 55534486
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