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mf_newforms • Show schema
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{'Nk2': 12600, 'analytic_conductor': 25.152876636703322, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 21, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [3150, 2, [2801, 127, 451], [1, 2, 1]], 'cm_discs': [], 'conrey_index': 251, 'dim': 8, 'field_disc': 7442857984, 'field_disc_factorization': [[2, 16], [337, 2]], 'field_poly': [324, 0, 540, 0, 205, 0, 26, 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': [[11, [5184, 0, 4320, 0, 820, 0, 52, 0, 1]], [13, [5184, 0, 3744, 0, 820, 0, 60, 0, 1]], [17, [-72, -120, -50, 0, 1]], [43, [-16, 48, -26, -8, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014467262516302, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 36, 'hecke_ring_index_factorization': [[2, 2], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 21, 3, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3150.2.b.e', 'level': 3150, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '630.2.b.a', 'nf_label': '8.0.7442857984.4', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{3}q^{2}-q^{4}-\\beta _{6}q^{7}+\\beta _{3}q^{8}+(-\\beta _{5}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3150.2.b', 'trace_display': [0, 0, 0, 4], 'trace_hash': 1678387615454298449, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
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-0.18897873750354663], 'char_orbit_index': 2, 'conrey_index': 251, 'dual_conrey_index': 251, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 6, 'embedding_m': 6, 'embedding_root_imag': 3.739234583527301, 'embedding_root_real': 0.0, 'hecke_orbit': 5, 'hecke_orbit_code': 18014467262516302, 'label': '3150.2.b.e.251.6', 'level': 3150, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 12600, 'analytic_conductor': 25.152876636703322, 'char_conductor': 21, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [3150, 2, [2801, 127, 451], [1, 2, 1]], 'conrey_index': 251, 'cusp_dim': 672, 'dim': 48, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 43], 'hecke_orbit_code': 68753034318, 'hecke_orbit_dims': [8, 8, 8, 8, 8, 8], 'label': '3150.2.b', 'level': 3150, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 768, 'mf_new_dim': 48, 'num_forms': 6, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 1440, 'trace_bound': 46, 'trace_display': [0, 0, 0, 8], 'traces': [48, 0, 0, -48, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 32, 0, 0, 16, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -48, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 96, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -16, 0, 0, 224, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -96, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -96, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 192, 0, 0, 48, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 32, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, -80, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 112, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -48, 0, 0, -128, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, -16, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 256, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 16, 0, 0, -176, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 256, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 336, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 416, 0, 0, 0, 0, 0, -32, 0, 0, 96, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 192, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 112, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, -304, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -208, 0, 0, -224, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -128, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 16, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 416, 0, 0, 32, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 96, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, -512, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, -416, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -192, 0, 0, 416, 0, 0, 64, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44166061
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 251, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 18014467262516302, 'target_is_minimal': False, 'target_label': '3150.2.b.e.251.6', 'target_level': 3150, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44166062
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 251, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518066889886798, 'target_is_minimal': False, 'target_label': '3150.2.b.f.251.2', 'target_level': 3150, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44166063
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 3149, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007405446728782, 'target_is_minimal': False, 'target_label': '3150.2.d.c.3149.7', 'target_level': 3150, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44166064
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 3149, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511005074099278, 'target_is_minimal': False, 'target_label': '3150.2.d.d.3149.2', 'target_level': 3150, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44166065
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 251, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 68753031798, 'target_is_minimal': True, 'target_label': '630.2.b.a.251.3', 'target_level': 630, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44166066
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 251, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 22518066889886798, 'target_is_minimal': False, 'target_label': '3150.2.b.f.251.6', 'target_level': 3150, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 44166067
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 3149, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 22518204328840270, 'target_is_minimal': False, 'target_label': '3150.2.d.f.3149.7', 'target_level': 3150, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44166068
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 3149, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206191987790, 'target_is_minimal': False, 'target_label': '3150.2.d.a.3149.2', 'target_level': 3150, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 44166069
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 251, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4503668380402294, 'target_is_minimal': True, 'target_label': '630.2.b.b.251.7', 'target_level': 630, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 44166070
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518341767795632, 'target_is_minimal': False, 'target_label': '5040.2.f.f.881.3', 'target_level': 5040, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 44166071
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 251, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014467262516302, 'target_is_minimal': False, 'target_label': '3150.2.b.e.251.2', 'target_level': 3150, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 44166072
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 3149, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 22518204328840270, 'target_is_minimal': False, 'target_label': '3150.2.d.f.3149.8', 'target_level': 3150, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 44166073
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 3149, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191987790, 'target_is_minimal': False, 'target_label': '3150.2.d.a.3149.1', 'target_level': 3150, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '35.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 44166074
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 251, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503668380402294, 'target_is_minimal': True, 'target_label': '630.2.b.b.251.3', 'target_level': 630, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 44166075
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36029140649907120, 'target_is_minimal': False, 'target_label': '5040.2.f.i.881.3', 'target_level': 5040, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 44166076
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 3149, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511005074099278, 'target_is_minimal': False, 'target_label': '3150.2.d.d.3149.1', 'target_level': 3150, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '105.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 44166077
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 3149, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007405446728782, 'target_is_minimal': False, 'target_label': '3150.2.d.c.3149.8', 'target_level': 3150, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '105.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 44166078
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 251, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 68753031798, 'target_is_minimal': True, 'target_label': '630.2.b.a.251.7', 'target_level': 630, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 2}
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id: 44166079
{'conductor': 140, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029140649907120, 'target_is_minimal': False, 'target_label': '5040.2.f.i.881.4', 'target_level': 5040, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '140.139', 'twisting_conrey_index': 139, 'weight': 2}
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id: 44166080
{'conductor': 420, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18014467262516302, 'source_is_minimal': False, 'source_label': '3150.2.b.e.251.6', 'source_level': 3150, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518341767795632, 'target_is_minimal': False, 'target_label': '5040.2.f.f.881.4', 'target_level': 5040, 'twist_class_label': '630.2.b.a.251.3', 'twist_class_level': 630, 'twisting_char_label': '420.419', 'twisting_conrey_index': 419, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3029850
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 18014467262516302, 'p': 2}
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id: 3029851
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18014467262516302, 'p': 3}
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id: 3029852
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18014467262516302, 'p': 5}
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id: 3029853
{'charpoly_factorization': [[[2401, -1372, 294, -28, 2, -4, 6, -4, 1], 1]], 'hecke_orbit_code': 18014467262516302, 'p': 7}
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id: 3029854
{'charpoly_factorization': [[[5184, 0, 4320, 0, 820, 0, 52, 0, 1], 1]], 'hecke_orbit_code': 18014467262516302, 'p': 11}
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id: 3029855
{'charpoly_factorization': [[[5184, 0, 3744, 0, 820, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 18014467262516302, 'p': 13}
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id: 3029856
{'charpoly_factorization': [[[-72, -120, -50, 0, 1], 2]], 'hecke_orbit_code': 18014467262516302, 'p': 17}
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id: 3029857
{'charpoly_factorization': [[[82944, 0, 31104, 0, 3460, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 18014467262516302, 'p': 19}
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id: 3029858
{'charpoly_factorization': [[[82944, 0, 34560, 0, 3280, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 18014467262516302, 'p': 23}
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id: 3029859
{'charpoly_factorization': [[[82944, 0, 34560, 0, 3280, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 18014467262516302, 'p': 29}
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id: 3029860
{'charpoly_factorization': [[[1327104, 0, 248832, 0, 13840, 0, 216, 0, 1], 1]], 'hecke_orbit_code': 18014467262516302, 'p': 31}
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id: 3029861
{'charpoly_factorization': [[[124, -88, -64, -4, 1], 2]], 'hecke_orbit_code': 18014467262516302, 'p': 37}
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id: 3029862
{'charpoly_factorization': [[[72, -24, -22, 4, 1], 2]], 'hecke_orbit_code': 18014467262516302, 'p': 41}
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id: 3029863
{'charpoly_factorization': [[[-16, 48, -26, -8, 1], 2]], 'hecke_orbit_code': 18014467262516302, 'p': 43}
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id: 3029864
{'charpoly_factorization': [[[-12024, 2424, -22, -20, 1], 2]], 'hecke_orbit_code': 18014467262516302, 'p': 47}
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id: 3029865
{'charpoly_factorization': [[[82944, 0, 29952, 0, 3280, 0, 120, 0, 1], 1]], 'hecke_orbit_code': 18014467262516302, 'p': 53}
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id: 3029866
{'charpoly_factorization': [[[5112, 312, -194, 0, 1], 2]], 'hecke_orbit_code': 18014467262516302, 'p': 59}
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id: 3029867
{'charpoly_factorization': [[[4981824, 0, 538272, 0, 19252, 0, 252, 0, 1], 1]], 'hecke_orbit_code': 18014467262516302, 'p': 61}
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id: 3029868
{'charpoly_factorization': [[[-4896, -1488, -50, 16, 1], 2]], 'hecke_orbit_code': 18014467262516302, 'p': 67}
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id: 3029869
{'charpoly_factorization': [[[82944, 0, 31104, 0, 3460, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 18014467262516302, 'p': 71}
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id: 3029870
{'charpoly_factorization': [[[5992704, 0, 880128, 0, 35296, 0, 352, 0, 1], 1]], 'hecke_orbit_code': 18014467262516302, 'p': 73}
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id: 3029871
{'charpoly_factorization': [[[14368, 416, -268, -4, 1], 2]], 'hecke_orbit_code': 18014467262516302, 'p': 79}
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id: 3029872
{'charpoly_factorization': [[[1152, -192, -88, 8, 1], 2]], 'hecke_orbit_code': 18014467262516302, 'p': 83}
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id: 3029873
{'charpoly_factorization': [[[-5832, -2376, -238, 4, 1], 2]], 'hecke_orbit_code': 18014467262516302, 'p': 89}
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id: 3029874
{'charpoly_factorization': [[[199148544, 0, 7789824, 0, 105424, 0, 568, 0, 1], 1]], 'hecke_orbit_code': 18014467262516302, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 5, 'label': '3150.2.b.e', 'level': 3150, 'portrait': 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c9CVzIce/haIKxh3bRh7VTCYjegOxSMYo+lgWDjlGGhYzh5QVHzfDauga3rQjbMjlg/O2bj7JitGyzbNyqu2uZRV02OnWzz9Wd9Hj8Y8/SJiET1+NZXdnjXyy11NcvBE9McO6s5czHhfAruw/OWm6+Z42e+a4lta6c4e3Gai0s1Fjoeix3Jci+h20/ojeDAsXmOnO5c9dSRuVcdOj238+iZuTtuf+N7wwfu+PMXGxLf1O1vNYPPL3aIY4uU/OJDTx55+c/890/Lt99y+OX//J2n9XxnPUvdFgvLDRY6PgsdzUIHFjsJi52IheWE88twZEGwbu0y//57FrjlyganLqzh7MUmZ+c1FxYs5+djTs8lXOzFTK8Z8Yrr+ty2F3xZJ1ABFxZrnJvXnF8UDMYQx4aab2jWEmamYgxw4nxMtw87Nng062OsFSB8+kPD9o1jFpY1WCdFlvswjsFiWeyEbFnv0RsqhLIIM6Zd89i+acTyQHDirCYxmtm2pFUTBB7EsWAwlpxflJxbsFxYigmCEXgxt1/d5+XXCNa16ywstTl1IeDsPFyYj7mwGHNmEY4sWG66ep6f+54lNk63OXl+DecX6swt+cx3JIvLCUvdiKVuwmLPMN+TnOnB4lKf//LPw/h9r2l9rbHh+03Q2vs1sD8thMIL/vZmR//WMvjvf/gTvPJlL+Vf/N//8hf+5BN3/4sP/tlXLt93srPz4Jm+fOW1XXZvTkgSjbUKax17YyUgAYEQFi0svoSzC3UePiy5bvcie7eNaNTA0xLfU/i+plmXNDzJoO9x4HiNLz3uc+LimG4cceDUmA2zi7z9FUtcd3mPm/Z2OD4fMz8QNIIRR89aOt0m114mWR4l7DuuaDU0z52AKzZbRmHCKPHROmKmBftPBSid4MkY7cFwLLll74DhQHLd5QndYcKJsy12bVQ0GyHLY8v66QFL/S4fuxuePJbw9LEROzYvcP2eLjNrQt52e493v9qye2OLJJrm2Jkpjpz2OHXecPpixOmLCUcuCk4uR7zkyjn+/ff02DA9zanza7iw0GBu2WehI1nqJHR6Ecv9hKW+ZbEvuDBQLHZjbt47x4++/aKseXbnwsUTu8IwvLXe2lUP6mu+/ORDn+a3P/BnLzZkVr39rWTwT3zy07zyll3qU3c88/8cOnr+3zz6zAk1vxyyNNacGRqu236BX/2ROW7Y3eDCwgwLnQaLnRqLHY/FrmapB0udhKVuzGIvZr4Dp5YEuj7iZdcs8u2vDtm1vslyv83FxTpziz7zHcFix0mEpZ6hOzR0x5bBKGa2HbF9gwEEgWc5fdFDyIAd6xW7Nls2rx9wYWnMU4davPQKS6O+xLOH19BqhoShx+yMYTiCq7aP+Mjd0+zZFjMeW9ZOSaJkSKsW8NzxEXWvyQ1Xxjx9NOTCgs+W2YBdm2D7xhClIk7Pg+9ZhLDs2BAz05L0hgH9gUd34LHYVSwuw0LHsNhJmO8knO/Awihh+5Y+3/6aeV62V1Pz2pybbzO/VGN+WbPYFSx1DMu9iKVewnLfstCH8z3FheWYW/ac5/0/ssDlW5osLLfp9gNGUQsZXJFIf9MvnF6+6ufWNk4kr3/TO15s6Ky4/a0C+MGDB6nVavWzZ09vf/bZfe87cvzMzz+7/ySDsWQwhuWh4OJAcbYXc9Nl5/mVH1nk+svqXFyaYWG5wVK3xmLXY6mrWepCp2dY7sUs9WIWu5YLHcHZvgXR512v7PC2WwyXbaoRhg2WOjWW+z6dnmKpL+gNBKOxJYwtSQJKWgIP6oFlum1ZvyZCeyOOnAt55nCAiZu85dYQ7S3z2L4pdm6CLzwc88prAy52htS0Ik4i1sxAHHloL2ZhocErbuzyhQdb7NoEjx4a49HgzbcYYjHkmSMJx07X0NJnw4xmpimoBwLfFygBsYEwsoxC6A0sy31Db2BYHhgW+pZhkrBj64C33dbhXS8PwbRYWJ7i4mLd6e2uZqkDy72ETj9mOQX34gDOdRVz3YSbrrzA+3/kIlfvqDO3NM1yr0F34NPreyx2BDLYRq2x8d9u27Xnz7du2XpyPB4Nr7jiyhcbSvntbw3Ajxw+zNq16/wjRw9935HDh3/ziaeeEouLfdkbJvSHht7I0hsKB/Kh5Fwv4pbLL/LLP7TAjZfXmF+eZmG5yVI3YLnns9TTLPcEnZ6l009Y7sV0+oalvuViT3CuY5iZHvDGm3rcvjdmxwZFu+7R7dUIPAkowlhijMBYGIwAYZhpjTh0xmJsyF2PNhkP6ly+xedl1w2IzDL3Pj7NDVd4HDrfp7PU5rbrBnz5sYANayz7Tlj+93d22Xc8YMMayZceV7zsKsXioMvRU2u44cqQe58ZEo8b3H61z+5tI4ZxnzsfU5AIjpzWtBsaLWAwlBgrSIwligFp0L6h07c0WxHbNo15+VUD3vjSmNlmjQuLUyws11nqumOz1BV0+tDpxXT6MZ1+QmdgWRxIzvcE872YW/fM8Qs/NMf1u2rMLU85cPcDugOP3kDT7WuWexDbmrly73V29+7Lf2z37sv/YH5+Lrz88itebEgBf0sAHkWRDMfDtz/0tTsu7/Ti9z/66KNenMA4sgyGCYNRQn9k6Kcg76QgP9uJuf2qi/ziD83x0t0+y90p5pZadPo1lns+y31Np6foDKDXt3QHMd2+u2A6A8tcXzDXhygZc/0VQzauSegPLG+9bczOjYY4kWhpCSP46lM1Tl6ssWkm5tkjNTAN9m5V3LjHENQGPHZowNx8k2t2NmlPL/Hg0x43X1FjYbDM0lKbjRstD+9T/OPX9Xlkn2breo/5foelxTXceNWAB59NWFOf5prL+1zsdHj4+WnquslNeyxXbh+B7PPUMcH6NREX5iLufcpjFCmkhMRYdm4KeeNtIb2+YvOM4cYrIAwbLHYaLHYClvse3YGi05d0+9AdpE7JIKE7MCwPLItDyZmuoDMc87Ir5/i5H1zipivcxdHp1ekOAnoZuIeK/lDSHwr6w4RxaLjxpTdFiVE/8W3v/NbDjUb9s57nmRcbWy96JjOO+phk8D3nTj76qwsXDqw5c26ZdkMyjlyg6DLx2c1ZgEJYpLRIqXnk4AZ++oOad75ske943SK7toScX2gT+HXqgU8j8GjWNb26pDX0mGpqd8EMEzaMDcOxpTcKWJyrcfqUJYwNZ87HBIEFBL6yaCkYDBUCj3igeclOwe7Nlu1bBoyTHl98RLH/8AxvemnAjVct8eEvWnzRYOeWAU8/qNgyrVjbHlBTdcLI42IPmjXN1g2CJ/eH3HhlnVffMM8ffm6I77V4w60WLxjwlYdDvvBQk+eP1blsc4OdmxLWzYTsWhtx7c4EpQxaWcDSCALWTQeEkUdv4PPsIY/+SDMYKvojSX8I/ZGlP3Df3a2Mlu7QsjyEuYHiwpKlMdXhx98yxz982ZjrL2tybr5Np1+jl4F7qOgPFYOhZDgSjEJLGEMYGe574GGv0Vzzq1Mz6xdf+6pb/3mnO/jDqXbjRcXXiwrwOOqB4Afnztz/i6cO370mCYe0GwFKSeRY4OogCqNHCJDCddIoaVEywZeSpw+t44mDTQ6dvcg7X97n5VePmG61Wew0aHZrtIc+/YF2J2ckGY40g7FmNLaMQkMYWaLIEifuHsY+1oBUAk8Lar5guiWYacHGtYatGwasnelwx2Nw3xMe0kzxppd6vGRvjweejwhHbV72EkFnOOTiQpPbrzSsnR5Q1wGjWDHXjVBG8JIrNY3WmMcP1HjVjVPcdn2Pxw8osFO89GqfH/jWRb78ZMiXHmmy72SN7esUG9fUmWk1mGpBPQBPW5QEY2HfMUGSCKJYEMYwjnDfcZwwHBtGY8NgZBiMDf0hdMcw15dc7MHYjHj9DYu8/eUd/tEbDHHc5vx8k26/Rm/o0x969IeK3lAxGAkGI8FwbBmODKNxwih0/+1T589y5PQda5b75j+95x++Si/3Bh+cbr14IH/RAD4eLWKN/YGFc3f/4oUTd64XZkCrUUeIJAUyuLJNgRAKIQRSkoIblLJoZfGUoe4J5gd1Pnr3Vr7yRJdXXrvMd71+mWt39ZmdbrCw3KA3DBgMvRTYyt1DwTiSRLEgjt1Sn60YSlq0hpoPjbphTStiy/oBMX0OnYn42L01jp5qMh3Uuflqze3XdXn4YIe7vt7m1itqbN804CN3C5QIaLcilvtjjAUlYF17QLfnY+I6b3/lRT76hQa7L9R4260DwmiBe5+ZJUpq3HL1et52c5crtnX4yuMDnj7V4KljPlvXSNa0BY1A4HvuInTHy2IsGGOJ4vRijSzjyF3IoxCGIfRGgqWxYLEHQo+4Yc8y3/XGZV55dcJsu85St0GnV6c3COiPPPrDYiUYjCXDEQzSC2c0MgzHCaPQMhxbYqOYu9jhDz/2pfWxsb/43re/wp6/uPT7G9fP/L8D4ONz/5kzS1eyePoL3xvHvfd3F55aa+MlfK9GzcQpwARCACnIhRAIIVFSI2WCUiJdng2esgTaUteCpZFioTPDx7/a5KFn+7zs+mW+6w3L3LC7w2xSJ44DBqMa/aHHcKwJI0UUS+JEkhiBscJlQYUl8A2NWkzgh/jemDMLYz73qOTwaZ9jp2dQJmD3Jp+rdileureLCuZ45kiLLdMNrrkMNq5bYrHb5totkthY7ngkYDyQTDdj3nzLiM/eG3HyfIs9l3ucWx7x3FGPbRtmuH7XHA883ePB5wTj0GfvrjXs3Rawd2uPI+cWOXwGHtnf4NDRJg0tCLSkGVhqHkjpgipr3cUaJzj5kAj6Y0F3JOhGEJoYY0fcdEWX73pjl1dem7BpTcBoNMVCp0avH9Af+QyGmv5IMRgphmPBcCQZjl3fqGPthNHYMBpbhqFhGDpHJ7GKsxc7/MHH7l5/+PiF989MN+Pf/YO/+vA9z83zJ+//J39/Af4vf+l38Dd+lnrX/iMVnfq1QefstEYQ+B5CxGmyxv2uFAohcGwtBUoJtFLpo0GrBE8LfG3wPUvgWRp+wnRN0Bt7LHVn+OR9be5+asSGmQHve02HvdtGjIZ9rtll2bZRMY48kqRI8wssUho8nXDiguXYecHy0PCZBxqcmZ/Bhh4zNcXmWc2OjZrLtsA1u7sYOc8HPttkcXGKW/dqrtnd4StPCUTssX5G0mzEDCIfaSVYidI+nZHgwqLgatvgNS/t8bXH62xe63PrNWv4/m+d5w++0OORA036I4+F5Ra7NtfZs2nALVf2+LZX9Ti7uMhnHghYGAScOOdx5oyPpwRSSgQCYy2JgchYktgwMxtx3dUDxuOIvdvGvOc1Y9ZPKda0AqKoxrm5GoOhz2DsVrlhDmzpwD0WjMa4lSCVJOMwcRIosinIYRgJRrEgRnHkXJcDn3p47eW7Nv3abS9ZH/3J+6/+0/kT/4m1O/7V3z+A/+Qvf4x3v+l94vt+Sr13feOZ33vfy59sXL0zoDesM1YuaCRdZoV0WltIi5IKKSVKSrQSaJU+aoGnE3wt8D1DzbPUI0sjtEzVEmbqgkEo6YVNjp1u8st/ugZMjIhjXnrdgF0bQ+IYjDVY65I4UgikEmjP58BJn32HazRrmpYvWdsQrJuVrF+j2bxOsWNTwp4dyyRigV//VJsTJ6e59UqPvTsThnGPrz8TMF33mJ2yTLdCGnUnhYyRdEaKxb5loZPQ6dd5xTXLPLpvwP6Tiul2jVuunuaH3r7Ab3waHj/cpD+0LPc0FxbbbFzbYP3MiB2zI/7lewe0Gx2ePgYHTkk8z6KURQgDWPc/C3EMOzcmvOzamCTyiOIAaxuMQo/z8z7DsVvRRqHK5dswFIzGglHoWHscuqzseGwYh4ZRZNL3srsD9zAS9NJ7N4bxMGLz8hPTb7tx9vf+0/n5+PT8T3z8wpFZu2H3D/79AfjP/+qfsXtzW33sc3/0rlOnFz78hw8u1Z7e3+KXf6TDldtiBsM6StacMyIMUlqU1ChlXTCpVKq3JZ52mtP3FGNPMg4NQZgwjiz1yDCODGFoaccwjgzjGMJYMIok4yQgSmrsP9zkqf2QWIuDttPGngRfuZqPVgDXbIJ2HaaakpmWYnZas34NbN84ZtO6ZSK7yK9/aoojR6e48TLFZVslu7cucc9zMRcWpnjpLslM21DzhwQywCpBnEiEtcRJyFK/xoUFjxv31nnJlT0eeLzGhhlBo9bixisNP/6uBX7t04bnzrRY7huWe4q5Jc3a6SYz7Toz7SnajYh1zYgdN4YEXoynY5RKkMIthRZ3UUWR4uKcJooVUawII8U4Sh9DyTiSjEPJKJSMQ+EC1FAwDi3j0B3XcZgQhqmmj9z7oxBGkWAUwSB0wO5Egm5oMOMRL9m5xH/8kYu8Zu+5xsJ8+8Oe+F0ziC771Il9f5TsuOp7/u4D/N//ykcJgpp66vDF9xw7fvYPn9x3sqZbbb74iHMAfu6HO1y1NUGrBCkTpDQold6lA7inLJ5WeNrihRLfE+4keIKxrwgjB/QosoRx4lyRuHRPIE4sSWJIDE5vG3JwZ1JIS/A8CLSgFggagaTZUEw1JDNTgvVrYnZsHNBqLvOpr4Xc+8walufbXLddsWOTxxXbRiRimTseadD0NOtmFK3GiGeOwPNHNdduswzGiuuviLhut+X8uYS5JZ/hqMFbbu5x/9NDDp1RNOuSwG9z7WWGn/veBb763JDPfnUtC13LjvUJSx3NdFsx1fRoNTyadUstMAS+IdAJWjmpJdPWSmtxCSsjiI0kTgRxLIhiSRgLosjZss7uE4SRJQxhHCWEkSEsEcc4Kt8duIcRDCJBN5J0IhiOY0Q84MYdS/zsDy3wlptgqTtFt3u0hl//41pD/hM/mPrE6QMfTrbu+d6/2wAPYyt7C53vOHTkzG8/te9EreF7jBH0ai3+6kFBOFa857Vd3vu6HjPtmN4gQcsg1dlOD3ta40WaQCtGnmOasScJfUEYCXdyIkUUQxhJ5yDEhe0XJ4Ykce5CYlOnJNX6mTujpJM9vhYEvqQWSJp1QbthmW4ZNqwZs26mR2yX+fj9kj/4wizrazWu2y7Yvslj52bDjk1LfOrrlsXFGns3Kmba0GpEXDguubgU4O+CcSRYNyWZnoZDxyxLXcP5+RpX7Kzxupf2+Nx9NWZbEPg+Sk5z7W7BD7/tIp68yF89MMPzZ2ps6Easn46ZaipadUWjLqkHmsCHwAOtncMkUzcqBznuwk4MJIkgTkiBDlHi/OwoShwpRIYwe4xMajtmrkxqQcZOkvQjQTeW9CJDOAqZCrp8+1sWeO9r+rz+Buj2W4xCH2s9xt1DNWHt70m5TUul/wzHM383Af4rv/2XxMZ87/0PHf2VA4dOtn2tEMbS0mCsZkiTOx6VfP25GueWFvjf3zVgph0zDiK6gxpa+3jaw9MefpgQeho/dNIkjFwq3TGOcEyUslIcQ5RAkjgnwRgXcBljsx7OFNwO4C5wFXjaAaQWQKNmaNVjplsx66aHrJ1Z5mv7Q/74rjoHjk2zc8pj90bYutFn6wbYs73LIO7y8L42deWxbkYx3YLp1piZqRjf13niajj2WexGLA8snX7MxSWf7Rtb3Lb3Inc9MuDAmTaNIMJTPkJMsXuL4rvfMM9Ney7yx3e1ePjZaRb6mvXtmOlGTKMmqdcUgScIPInnuVhFqcxudSi3uB5WY8iBHicmXd1SazE2xIkDdxxBGNviHjlXZhQ7UhlEgm4s6MUwGsWYeMhsvcePvXuB//s7BzQCj263wTCsEUYesVGApNc51obk19trr/PPH/3YH2y87Nv/7gF8frGDUvIHf/W3P/WLJ06cnq37AotFpderxDklA9VkeaT5lT/32Hdkibe/asBrbuizYW1Ir1tnqH18zyfwPcahJvCdvZcBPIokYeyW3ShOPe2E1PojZW6JsRTgdknKlLlBKyeXfM9S8w31WkyrFjPTHrNpbZcLnQG/+RmPOx5dw+JSk8vXCbavF2xZ77N1vWDX5hHaX+aj92qOnmpy5QbJTEsy1UyQcsyZOUugJVKAtYIw0uxY3+UREroDxVLXcmGxzpVba3zbazp84is+xy8EeDpCCA9jm0Sx5KW7ltjxnV3ueHzAR+5Yw2PHm2yZEaxtJjRrCTVfEHgC33Oxila4wFmKvCbD4i4yY3FOS+IAn4E8Tpykc2CHMHG1LmGWPIoFwxh6saQXwzA0JIMxW9f2ePWNS7zjVQPeerNBizqLy3XCyGcc+oSRJoo1SXpelhbPzar65e/fvuc7VDjufND/X1RT/r8E4ItLy/i+/v6/+sK9v/jMM8+ubwUGi8i9WRdECpQU+LGgJ2p0Qs1H76nx1ad73Li3y3e+YcDbbu0wOx0wHAUMxz6B5xHGXnqwHMjjWBElkjiWRIkgjiVJIkiMKLS2EeSqxJInkpRyroOnDL5nCPyEehDTqo9ZO91nGA35yjOWj90zxcPPTjPje1y7xbJpjWTDrM/mdZKtG0Iu27LE08eHfOb+dUwpzbopQbspaDciOoOEL3y9Rsu3COGANRxr3v6yMZ9/yNXEdPqGi0uaretbvPPlfR7e32PfIZ9mEKOkcCA3DUah0/rf/boOV266yEe/2uXB56c5uVRnY1swVbM0fENNG3wPtBIoSZogc987Kz8yqVQzpljh4hTojiAgSgRRkgI7cfbfIBb0E1zME4Y06wPe+aZFvuMNXV56ZcKGGY/hqEm376fgducsilxwGycu72CMZXj84PpEPPCLO698tRkOuh+qN9p/uwHe7XbodLpoJb7n7nvu/8933PmV2VF/mXZdEafgjmKLSpxroQX4EgIJPekx8BSnuwFnH2rw0DN9PnFdj/e8bsibXzZizbRPOA4Yxx5h5BHFmigFepwUBy5JCoAbmzK3KWrKhLBpUOnqOLQ2+F5C4EfUg5BWfUjCkC8/LvnTu6d59tgUIgrYOWPZNG1ZO61Yt8Zn41rJ5nUR2zd2OTXX43c+2yQe19m6VTDd0rSb0G5ECC+kO2wy3bIIIbAWoliyJlDEJqYX+fQGCUtdxZm5Oldf1uKf/oNl3v9nASfmmmgVpReGJo5rjELJxtmAl17e5brL+jx34gwfu6fOXY9Nc7ZTpxkoWj40PYuvLZ4CLV06X4hqdZ0BrHEXXWIEiYU4Ec4/TwRh4pJEw0QwTGAYW+I4xkRjZmtD3vL6Zd73+h6vvDZiqu4RRk2WOgHjyCeKNWHkpbGRTgEuK2Q0Xu5zcfHe9f2R/s9X7Lk5nr949o+8oMnU1N8cm/+NAnw0HDI93X7HY4898Rv33HNPOxz1aDe0C1YSQRRbtASdgIrdgdeJK2bylaGeCAbKZxBrLo5r/NVDTe59dsAtX+rzz97d46rtXdZPK/ffjHzC2COOC5AnGcCNxFiJtU4S2DygTFP9yrogVscEfoynQrrDiLluxH/7VI1jF2d4fN801vjM1gXr11rWTglm24rZaY8Ns5KNszFb1g2YnV7ijicMjz0/zXVbBTMtSashaTcMzXqI8MYEgUYr9/ethSSRDMea4SgiNoLe0NDrWxa7HucX2ty+p89tVy/z0S/VqC8qtIwcIK0mTnzCyPV4rp2ucdPuPjdd3ueRV5/lxJzkj++a5uJyg9MLAb6SND2Bn8kw6QLPnMgzqYJj8tgKYgOREYwTGMUQGgtJDHGEVGM2zwy5boc7HzdfldCua+K4SafngB2nwHYrbGZLSsI4yxo71yaKnTU5GA648MC9s6NQ/8bV19ywNBoOP/M3icm/MYAfO3aYdes3qE9/6hOXHzx4qD3sd2nUPMZR4rRu7PRunICKnf2nE9CJwFMWP7bUEkFDCYZKMNABw8RjIaxz12NTfO35Ic1gzD95a4etszE7Nw+5/ZoeWrgWMSGcXHFZSVcrbW2JuUkTR8J55pYYZMxzxySP7td87uEWz51sEcYNWlqxrm5Z07TMNKzzwduaNVOa2WnBxjUxm9cN2bRuiXufHfOBz61n07RmXRvaTUW7KWg1YurBmK8dVIxCjdd0oLJWEMaSmlbccOWQh56ZdoVPw4Tlrsf8csCF+Rn+6dsucHp+gYeeXIcnARFhIAfQOJT0h5qZVo3pdpPbrhzw6usGfOdr59h/yvD5h2s8vL/OwaNNYqEZjxWDSKHy0ody4JnmBKwhNhZrDJ5ImPJDakTcdmOfXZtGbF0b8V1vHlP3Jc26Rxg26PT8dCXVKeGo3GvPwJ3dM+aOcnPA2ZSdXocHv/ZA+/SZ85e/+93vUYcOHU6uuOLyvz0A379/H83WjP/EE499XxRHv7K4uIjn6zSgkYBL3shYpN62cAyuUgaPwZMCz1iCxFJTgkYiGBsYJR7DxGOQ1Oj1Ev7zR2ewccSGdSOu3j5idirmPa8bsn19SBSJVG9LKDE3qf6U0iCk4JNfrfP0kSZCa06cbXDmQoNaXTEVCKablnbN0K5Bqy6YaijaLcVMSzM7DWunYzbMjtiyvktil/nk/W2G/SZXbLW0G4pWQ9KqG1q1GM8LueOhGuOBxFvvAutMojTrirfcMuS+Jwz9saQ/TOgONMs9zfmFBlftavGeV3Z5/LkGJxZbKGmAKNXLHlGiGEcuMdMfaTp9n1a9QbM+5qqtI27dM+LUxQ7Hzy2jvYSnjmo+cU8DoVzhGpPzB60BDFhLFCbs2BDzvtcNWdtO2LPDsmEWkthjHLaIY4+lrkccKaJEp3FQqrHj7NHJEQdskUqTwgiIksL9QijmFxbZvDX6lccff2xw2c5df3Bg/75wz96r/nYA/Mzp08zPz1155syZ33z0kUelK4ySaO2CS/fapeN1DLGEWFpiI9Cx04lRYvESpwEDbaklljgRhMYSJoKxkYwTSWg8IgNz/Tb3PG2wJPzlw25kA9ak9yyLl1pkIqtIlEiliCONNBpPS1oB7FpnaXqGRmBoBNAIBM26pFV3cmiqJZlpw+xUzLqZMZvX9UhY4r/9RY0HnlnP7lmYaaTs3ZC06jGNekizMaRebxAo9/2FcMGuMRBFHqOhYDhO6I0V/ZGhNzSuZa7pc/rCFK+4esyPv/cCv/oJzcnlACEM1kaYxBLFHmEkGY1dGWtrqGnWfBr1Go2gQS2IaNVDXnpFiO9F3HxFzHe9foBWcZoEMghhq6I8lXTGSISQBJ4CfEZjzcKSdnU7SRbzpPdYFjFQWriWgTtztrLEUpyW8kZ5ogmimLzI7YnHH5Vaqd8cD4f3j8bjZ/8msPk/DfBPf/rTGCvqBw8eetexY4eFSsN1ZcEqxxJFg4IllhaVpIFm4rRhnIBOXO9jnEX0SRrVZ5G9EcVrIwiNJLaSxGgiE5Cktlf5lmcpBWghXKZSQa1uqWlLTSUEHgQaar6lHgjqvqRRlzRq2gG8KZhuGda0Y2anx6xf02fz+gU+8DnDR+7awLZpxdqWod1UtBqKZgMa9YRWPeLcguHIuYCa78pvIav0E4xCza6Nho1rR3RHPsORTVlcstzTtOo1Wo1pvuv1Fzl67jy/95ktaKmxGBKTEBtLFGvGoWIYuqKoQU3SGGnqgUc9SOj0XIzhe4lLmHkJWrpGCSldOl+kd1e64ko4HcgFHZNWWRoX1ySJxBhJbIp4J05EKcDPnpce47RGPRHp+2lyKX/urNyMCJ997hkRhqN37dq188gXv/CZ4Vvf9j/XyPw/DXDP9/zFxfmfmpu7+FPheCy1VqWS16JwKpYufaykIJHOntOJJTYu6EySNMNmUpAnruQze694XlTKOS9X5IFSWXMDaSbPBVZaGhfgKrdieErgaet8Yy2oBZKaL6kHinpN0apLWg3LVDNhuhWzpj1m7cyA7RsWePjgmI9+dTMztYANLUO7IRy465JmzdCsxbQaYx4+AE/tb3D5Opvq3iJtPhwrbt5juWL7kEeenWYwtgxHCf2hTkHu0ajVqdem+fZXLfLUwYs8tG8jWIUxibNcY0sc2byeZDjWNEaWek1R8w2B7xH4CYE2aJ3gaZcdzsogXO2PBWERFHquCM5dCbHJHCmT2a8lKzYDtnEALl5n2dLinqQrdGZDJtljloRDMBqO5MWLF/6fZrPpNxrNXwDCFw3gw+FADoejn/3kJz76z5cWzvuBr7PgHJmCURpJLCzKWGIpSJRLKKjEkiiLNu61O3AWk5A/T7KMm80ybxaTZuKyZIW1llLmvbLiZqnqLKGjZJqxVJSKtlz2L/AVtUBRDwSNuqBVt7QbCVPNmOnWmNmpIZvXLfHQgSE/+4cbOHl6msvWGqYb0K4rmnVFswbNWkK9FuF7IzojVw3pKYuUxSdLjGO4KPZp1yMGsWGQ1lkPRgm9gaRTVzR6AbWgxc6NET/3fR3+3YclX9+3AYvCWEOSGOIkJowNYaQYhYphIKmPFTVfEviWwFcE2uB5zu/Xyqa1Pg7gSpSqOMsnN03t25REbFrLkqSAT0zx6MhIpo+iAHj2PClKA7LVuUxgJnGNGg7igpMnz/hBrfkT3/7t3+kNh8N/W6/X/9rp/L82wAeDLsZEv/D0kw/8n0sLp2qthsqtp0xnZjUPSjrASmkdSKUDd5KC22TPjcAYm/9bk3u0YI11XeRpCWj5zgTAU9mdBpZOoriacieJdNqK5mlJ4LsBQLXAjWSoB5ZmzdBqJLQbEVOtkDXtIZvXLfPQ/gH/7g/WcuDkGnascQ5Lqy5pNqRj77qlUUto1CKiJORPvtRCKoUnLUoUNqGx2RLu8d1vWuLOx0J6YcAgBXh/qOj1FZ1AU/MDAq/Nnm0xP/8DC/zMHwgefHYDxkoS49LqUewKzcahYVxz5a5BIKh5gsB3mU1f2zxjq5VBKueNS2Fdo0QG8CLlCaQkgsslOLclDeQzAKdTB0yeXCNld/IVNykD25ASGmkW1ebnPMuyAhw4eKz2lbvv/b/e8PrXik6n+9NTU3+9JNBfG+AXzx3FWnvb6WNP1OteiPFkWutRVOspA4lMPdYM6Hl6OAN3diWnXzSvlSjarxzQhaujyECdHfiJz5UBPKvByDJ5GXtrndWdSDxPuvoNX1AL3MyTRpDQrDtwt5sh0+0h66Y7PLx/wM9+aA3PnVjL1hnBbLMkTWqaZs3Vr9RrMfUgxPPGnFmYwVMCJU1qyxVBZpJI4lixacYSxxHdqJZ2yhiGo4TeSFIfKGq+h+/V8PQUe7fG/Pz3z/Gvfx8een49iZEO4IklipOUyQ3jwFALJSNf5RLM88DTqXOlpJOIklSmgEgfV8G4kyukSSFEnhwyaXIoyxYnSel9U0hOk8ZTWVlAdr5zgFvrLhhrUyKDuD/g3vsfqW/dtv22/5kdJ/5aAD++/3NMN/qNr3/tK76wSzQbpBV7osK6rg7EfVmlshMrSKRj6kRT+ZIFsDMZYnOg20yOZM8v8dmkKIqopASZlgS4tLVMGyUyeQI1DwLfUK9Z6oHTz416RLsRMt0csnamw2OHRvzMB2d45sQ6Nk8r1jUNU3VBqyZp1BSNuqBecxeHS/WHPLRP0B/51BTpRZa24dki0IxiTbOmuP2aHg8/12YQOZkyHCcMhopeoAh8he/5qX6e5qpthl/6oYv85O/Cg/vWExlJZEzaLF30YI59SeAbx95eUUevVXYnlSmFjJNplnc1kGdJIZsBPAV8kjsvrLrymlSKmBKJJaYAerkQLjvvWZFc//wSf/gnn/G/5Vvf1vjQRz4/+P5//C3/6wHeXz5CY2rr9NFnP/k7Na/7qrofooR2RU6p5srBnUoTY4tlyzF2AXyjxOqsXQK0yYFdGiORau/8ZAhXUCRkCu60yEjlAAeVVgx6GnwP1wnkpwVWQUI9lRet+pip1pCZVpcnD4/5mQ/O8NTx9Wyc1qxrGKbq0KwJmnVFo65o5OydUAtiWo0R9z7ls9ypMTNTpMkzwBiTOQuK9bOK17+kz72PGtdFE5oSyCU1T1LzNJ720bqOlIartll+8Ycu8pO/a3nwwHoio4nSCkBX9uqYPIhkXl3oa4nWaRGWFCidHRvyz5ddhJlUEVlVGkVCaPJuSo/GlB7zlbcKbmOqLF7UwpTeT5xtPAwTEjl81b6Dx37/n/3Qu3/k1uePL1939c7/tQAfD04TjS/85Lh/8DtILlAPGrk7EqXsnBhBokR69aa6TZWCRlNc8Zn8SHIZQs7elUBykrlTpGcZuVx7y6yCrtDdWcWgVrj6DG3xPNdYXPMNNT+hXotp1CKatTGtxog1Ux0ePzjmp353LU8e3cD6aY/1jYSphk3BnbJ3TVIPHPvXgphGEBKbMb0wQCiJlzF4rsFFym6pXxx5NP2RKxcIa8xkIB8lDHzH4IEvXU28zjagtVy70/L+H7nAv/ptw4P7NxAZzTgRhIlJWVxQiwyBZ/E917uq07hDK1cirKRMj0/alZ89lgqz8guzHOtMgDsnoRIxlcGdg7pMZCUyS3KWJ69ZimOIYsHRkwv49WPf8eX7njoyDsN//b+UwcPBUbz6th2nnvvv10XD03ieJLFJCjCJVLJwRBIH8iJwFAVzl2qSs9FoNgsmbRGIFUxRZCVtec3MWLscVGbLbdqho9JgSuu0MygtQsqqB2tekurmiHptzEx7wFSzx0P7Yn76A2t54ugG1k1p1tUTpmqWVgrues3ZiRm460FCzY9pN0P2Hbd89fEmvpR4yqRBXOFRZMt3lChio3nNSyMuv6zPkZN11jUo+hzHCYNRysJaobWXdzkJYblmB/zSD8/zr3/XcP9z6xhFdZcMiy2NtIY78HAg19nqZfLeVqmSfIVTUpQALkogZ4VeKUBuqwDPKxSLlXe1lXnyvaTE3FlVo+vGAiE1B4+d4y/vevS6X/v5H9rx9IEzJ67f881vd/hNA3zYO41QMzuXz9//X+Nw/h0mHqBkDU8bhzUs0lgS6ep9jbRFlJ1ZgCaTI2LFkpb5wzb3tCdckhVuScrck+AWFqkyWzCteVEpa2uLrw2eZwg8Q+DH1PyYWhDSqI1ZMzVgqTfgvmfhl/50I08fXsvaFNzTdUurLmjWRO6VO+fFOPb2HcDrwZgwSRgNa9SUu8ikEJVKviyR4gJN7bS8HjMOretKzwFu8P0E39N4nnRTBaSXAxwB1+8S/NKPLPGf/yzmwf2znO20GTUl04mlFVtq6cSBwLOp9585KTZn70yqZADPP2/6ocs4zxVielKyVbUAd1VSumrOEtgngF5Ik+J1ZLJyXaf5O90RZy8sveNTn/968i2vvf7/Onzs7PHLd23+mwX4oHMMpRu3dub3vauzeAhkDSkdG2Q11sJYEmldsClL4LZFXXYmSRyoRR5Bm+x5SYqUAZ4d4rIqzE6CG/eQsbdN5YktDQdyZbGeNumYiSQHd+Cn4F7TZ25pyC/+SYPPfH0d8/0Z1k1J1tVScNec7m6kgWU9kDQCmzK40961IARC7n7SZynymQ2o1GMjqitUkrjmh3aged2NAx46ENKLAqbyjnWDP3a16r52ANfKoqSHkC5Bg4W92yS/+s+6fP6hIb/woQ2cnp9hOK2Z9gWt2NCIIYjc6GVfuYFGXhZoSpEHwdljOVAvX5hC5L0i+fmBCQlZBnYpfjJl8JeD0BKLu1gty14LovQ9TyueePoQe3atf9f6NY0/6faGx/9GGTyJekjdvGLx7N3/R3fhSSw+4AqnbNpSJwRII0iETV2SDNyyaDooa+0c1JkEsYUNNcnaZVmS/q2MWbJ0c+YCqAzgyrpyXJ31drr+Tt9L8L2Ymh8R+BGt+hCtB9z7VMLvf6HN5x5YT2jarG8L1tacLHEWYOaTq/QuUuYus3eE1mO+9vw0g1CzqZF9nkkGz4JsSRQrap7itquGxMYBfBgJ17Weda6PjQsOdTobJrX3RJpctwjWTgu+47V9WsFZPvSFIfc9P8v5qM6gJmnHlqa2DuQ6jUOUTeOSrPkkO4aiqB2XIClYfHJHwVyqZCMqmNTm5e6hovY8swRNGfglWzExgtgW2W0hoOZrvvrgc9x6457/433/4OVPdHqDQ1PfxEi4bwjw3vIJzh67A+1Pbx4s73t1FC4jpYclLZ7CItNpUNK65c7kNQwCa00+NcqkjxU5kmlt0mRCBdgl66FsXwk7IU2yrBxpwEs++Spjbk+5WozAi/D9iJoX0miM8P0Bf3qX5pf/aD1H5tbgBTU2tgRrgoR2YGkG0Ew77OuBy3bW0oSQq19J0pXAyZP5bkI/9PGVwpc2DzApfZXsws5qN8LYo+6N2Dg9ZHnQYhiJdNyaixU8L0ltPpXancoBvBK4usrHd7yyz81Xz/FLfzziI3esYzFuMgg8mp6krV0NTqDBV+TNEDpL+qQrn8ylSpEAKpNKVayUgU5lBTa2KjULbU6esMvBna1qGchLfroFpJJcnO/w9Ueff7VNos1zC51D+w+dZO8V2//nAG5twrqtr925PPfcB5Yu7kei3ZAed90iU09bGoMyEiNluuRktQzZBxVpNkyUAsgiwLSIkiQRE9IkA7ct2CTNvskywKVFSVeaWzB3koI8xtdOkgT+mMAbcvxCzO99vsmn75/l6IUZ2g2PNTWYCRJagU1T7xm4ZQpumSeFaqn2Dnx34bSbYz71Nc2hE3Vq6QSuvF2MAuX5GAfrdHgUa/bugG+9ucfvf3GWfkPTTmePBGEaNyiD1jIdW0cJ5F7pZLlVYftayU//4wHX7TrN735uDUfPT7EY1xl4mqYSNFKg+9K6Cyd1mfLVLzuumX2I0+dFptOu9MkzYspKJ3LffKWlaHNAl2qJTAH83GlL47FMAvue4pEn9vPq26/6wLvf/sq3Lix1vqFUeUGAx3GEUpqFcw9v7S0+sxuziPazzFzpw8tMfpi83LIo0MlYugp4m7+X/XdEzgIFK2S0bSs6MAO2eywqFZU0qWuSsXeCp2PXuaNjgmCMr8f0kpDf/LjPhz6/kTML0xhVZ82UYo1vmfINjZS5G3n6XqZ1Kqk0Sb3zHNy+y16Oo5BDpwP6YcBMkLo4WdIpcyWyLKwt1aREmnZTs2triApG9MIWQ19QjyzjDOA6SRM1yvnYMisBXi14VaybGvBP3zHgXa85z4c+3+X3PjnL/LDJUNeoaUVDC+rKEsTWsXlap69lUd6QZTlXMDmryJVJhwWoxFKZ3i4RWQ7o/IKf0OYlohOAlpKzFzs88PD+3fVabetbXnfT8XEYEfgel7q9IMDD4TmU114nlfp4f/FhrxZYtEoQsnoFZ6yscglickmSM3b+sxKwU8AXjC2wq34SW7IDbQ7sijzJBwYlDuDaDRPyvYiaH+J7IZ1RyNeelvzpXW0+ef8so6SF7/vM+oJp39D0LY3A0vALcNcCSRBIglSauMRQ6kykAPc9l/k8ds5y32MNwsgjaNoVAWZ2K69qxrgRGJ6nef3NPT765T4HTjcZ1txohrFn8WPwIoMXGpSSzreWAilkMdyH4ngmRhIbSSPQbJge8q++fcBV28d85K4Wj+6bYm7YZKR8PE9T04K6hCAbsJTZq9K6fIKgBPJqzcpkcVaZ0TOCmnTEstcFa4sSm5fkW+niyC6o2Aq08PjC3U95b3vDzR+fW+i8ZGm5N/fXZvB6oy37S/tv7Zy7a6rm9dGaolC+xBrupImcvVcDdVmW5PcM2KlEKTN4pfDH9eg4Js9TyiYv93S62118Kr1nckTriE4/4oFnBX/4xTZ3PT7FYqeFrNdo1RXTnqXtGxqepeFb6j4pazvmrgeSmq+o+YKaT1qhZ1JwGwLP6W+lxxw8DWc6NZdYSfVtNXFS1M+4PkgH8thIwlCzoS24YtuQZ07GDCKPcTrj2w9x4FPZZN0sUQNyok4jZ8PUhowSVx/+vtcPefMtS3zliR4fvqPNo/vaLPQadKRP39f4SuBLQSBdI7iWbpc6JYqLVIm07HcVBl9RvzLJ5CVCM5QCTytIKJV3ZMOJLPn7UFxkWggGUcwHPvbVqe9+N7fecsOVX+QFhge9sAaPTwQ1f/TbNflM02sMU9uotGZkgCVj6xK4K8AuvWcyHVoCeOmAVHihIk1spUBf5vXlJn1M3ED8zM2QEXO9mHsf03zhgRafuW+Ki90molbDa3m0NUx5rpOn7pHKDqj7Ir3LtOQ01d2+IMjYOwO4jvH9mJofYm3E3Y8HnDhXZ+0agSdNqmNF0ehbYru8/DSVFMOxx44NgtffOODTXw/pRx7DSFDzXL+qn06WKlYplfvVCFmRKe4ui0YF4/z2ejDmfa8d8sabF/jL+3t8/oEG9z7d4mKnwVD4DH2N9hRaCNdCKCWesKnUsihESRpW7cOJr5d+luKiyy++tHCrkCeOwROLc05wDootsXjunuHiAazg3idPNv/h25LffubAmauA4f8wwJc6hqXh8B/FnQ9Nz645jgkDwkjl0iPr/MiBagQGuYoUkRWwV05C+mHtCmEiqgFlCdhCmNQONIgU4Fon+DqiVosYjRMOnIHjZxUf+9IUX3y0zcWlJng1dNujoSQtz9LShrpnqXtQ8xy4a56bSejKTGXpLtKf2xTkJge577n2tCNnDc8cC8Dz0mXellL0ooKCchCWJFnNtBvnfO2uMVdv7bP/TINhTdCIBUFkGStSa8+k7J25KZkFWWiV3GdPrUhjVDp9wGMUetTrY773LWPefvsydz7W58+/3OD42Rr7zzQIlwPiQDPSGqlc66HC6V9FweS5dKEI/lfcym4KZfZOZQnk4C5+ljkNqXDPvhBOmCfWXQlzC0s88+xjzK59YavwkgCfX1oSYTT+8d/5o4PTl2/0ufWKiBuvHLqEgJaYSBJGjiUsGXPL1CmRFfCb/DXFhZGDu3TJVxjBljSfS2rk02eFY+wgcJNU4yTh/AJ86R7NkdN1vvpwnTNLdY6cbUIQoBqamlY0taWpjXMRPDc4v+a5cW0OxNldpneVApxUc6fg9hICz7G3u7BCjs3BvuMNPFm1B3OJQlEPnjsKmZNi0r7G2OPqHUOuWD/g2aMxg9ijFQnGGvzYzQRUJYBLKRBSVpi8YMpSGavJ6s9dH2WUeIw9n3Y95LvfNOaV13U5s9Tl7kd8jp4KuPPxBmcXaiRDDyM1ka8QUrqVIu3Kd5PJMrkiJiRlCeMTAWehyTO3JX3XloGcNkCT9tiGLn8vtEGqmFv2jrjt8hGvveora1/3xp/4P/7F9xx6v/CuWDV8uyTAf+n3P08Ux3zyr/pgNrNr05Brd4149UtHXL0rZtNMwuU7Q5QVJJFMZYrKpYqZALktsX7G4hlbVz+ZLUXsBWvnUkQleEFClFiOnhI8c1TxpYcbPHvM5/ljdbrjgHEYgOej2h6BEjQUNLShXvKBA53VaWRls64uPEhlie8rfF+mF4AttLeXuMyi53R+zY+wJuTComRsA7SW+NKiSzbbBIHn5zKx1X7HMPYQaNatCZFqRD/yGGjhnI6oKBjTylQykDIzqQGyYUcIrJEFk5cGI3mJysdPDMY+G2dCtm+IeOllY4bhkH9yrMOzx32+9FCNZ47VOHqyRhQrCBRWKhCSRJayQXmSYhWtUhHnZXYuAZuMqdP62sx2iQwaw+5dIVtmIvbuinjNS0dcuzNh+wZQ0jajpa98RyT0+/+HGPyDH7mD8ws99el7nhdjGoxjj6eO1XnmyJg7Hx4z5cVs3xJx7d4xb7ppzOtuDMGCp2PqTYs16Zc2gjhyc0qyQNIFk6KkqooD4PS9m1/iaQvCIKQlCi2DkWP046clf3ZXwCBSPPl8jcOnAub7PuPEB+2D8lBthS8FdQUNZakp3DgzlRYeKcfavidc0qMMbk/ip7Ik8CHwSV0TlzL3tMH34jQjGlGvhVxcSvjSgy06vYCZKYFOvfis6EtcitlMKSA0kvFYsXZW8ebbR9z56JCTnSZDTzqZosGLLV6Uedapxy4TZxdSnnUi879hrC79DQd0P1EkWhF7buxDFHnOSvUimn7EK6+Nue2qMe989YiDpyRP7fMYhoqPfKnBsfMeCMlgqElClZVvYnUG8AnLqJy+rQAcsAaRWIRJM+LGUm/GeJ5BYHjdjQ5f1+wJ2bElpq0la1uSJPEYhz7DcZ1+eEzI+m3q7NHPxZsv+9ZvnsE3rGn9phgPrm9qMMIn0gpjNHMDn7kk4thCwoPPJnz8yzHrZiKssdx4Zcj73jByKdbEsm7KcMO1Ic1aJqdEngNbec5FPpynMxA89bRmoSup1yQP7/P47P01RpFiFCnOnfcxQhNZDyM80BoRaLSU+EpQk5ZaCuxAWQJlXQ24Tj1fXTC3n/Vl5uBWaY+myNnb9wy+nxVoJTl7+36EUiH3PKH49NdbKF87u62ivy/N4JkXniSZ46EYjTze/rIhn/lal4/cPUU/rtFMdbiX6fAoS8rYvFtICJkDzP0pWdL6JYCbdLSDdkzuaUWsNTpOHNBVglJukP5MLeZle2Ju3xNhxZj3vHbAKHLj3P7q/oBH9vnUA8F8V/HUsz7dgUxVkuCSojzfecK1Bt5wQ8ja6cT1DySG971hxA1XRFgD66Yta2YsCom1HnGi6Q89osjNOxyNPUITXz/dmv5N4J9+Uwy+sNhlzUyr/V9/99N74ihUdWWwQtETmiiRIDUYD2NixibhQifhwpLTSwdPGj57j9NNNrFMzRhuvT6kVXf1v6umJ8uXeuo6LPcVjz7j0+0opJZuJop1RQEI7dqDpAapkVLiSeHALC2BNPjSAcFX4KtiRp8DuSgaHrRrBMgaj8vgdgyfltV6GYMnpXtMoCOsDTkz7xOOawRTEj9Ne6u0Kq+SxSz1rJat07w73SjCyGOmpdi2NsQXI4ZxwDAW1LUbgpnVkGQJLSXL5a0y/1vub6SxkTFF9tSYtPmkkEZxnKR5A5XOZY+J4gQVuVyC25wgZutak64Yhqu2jwjtEKkNnY7g0Wc0ywOJyhVLNaiuELp13TvNmuW26yOmZgw2dit7XYFy5XMYo0giRWQUJnEjQuJEEycqn0+ZmFgl8WDP1ive247Cbtfzq72bKwB+9vw8cwtL739u37HX9nt9Aq0xCRgsQyGJEh8rNMhs0E6c0lFCbC2dLPJVlu6y4dw9zdJXXA3gZf2WnhwhMNmWC6Q1p0IVQY6UqZWVgTpNO0vSjVsz37j0qNNOekW69R45uF1bl8JPwe1r8hJTx+Api2uDn2ZHPS8iCCJOzRv++M4maB9PiiLAzOWJWMHgZX84GxLqwOYG64SRx3e9echf3jvk+Qst+olHI3ab0roqQFt04qgsJ1AO9rLSxUwKyVKBV3Y3eS2M1govcfNSvBToShZJM1c3nj4XJh0clKCFRdiEtQ3Dt7zCgEhKNnK2f8ZKh6yAgwCjSaIiPosjSVQyLEwazxmj8mMUJ5ok0RijCcdDuovHXtvvnHq/McmPfkMG/9hf3IWSwj9x6lxaWWbxLNTS6UNjBJGVJFa6CNjqasCQb5/gXidepVphle+bsVsG8GrwIqTMW9CUAE+4tHIgXLWgJ91rLUlrKtLu8ayQSFOag0K6M1vRVV8AXOayJfBt3tLm+6Y0OCfGS9nb1xFShpw4L5jr1hBaE0gq8kSWv1bpdJelQwV4qdMRxh6z7TE7Ng7Zf37MMNGMEggSgZdYvDjV4TG5s1Sk0FWlUyGL7RxQsq4qUZJGBp0YEiVROtu+XKXFaglSmXSlMIU1m4JcZH8bk87AsbnrlQE9c8AKCBQtcJTiMWc6rJY/kWmwXPL1053xTPp7vc45ju6/0+3e+40A/uyBkwgh6PRGIATSujHHSItE4AlLaF2tboIgsSpPwWYSpNhFIcvivIA0EcItq1niQAgkRYo4G7PsCYsnUtCmEiB7nr+Xkn1RCkreYOsr4cBeAbd0j34G9Cz4TMGddf9ok0sUTzt96vsRMRGf/1qdC3N1vCmFX67hKDsoTCjScuo6q7IsJX1GYzfB9m0v7/O1p0d04xoDranHhjBNpytZFERlBWdCGIrOoSzQFLkt6azDdKaKJe+40kYQK4FOZLqLnavliVOgF8k0kyfYpDSlxJvJd8UrwJ3avPleMZc4/3kWu0j82Umg53VNMg/IsyGrUkBiBox6R1lNIVQA/ht//CXazforPvbpe29eHi5g0youlaWQ0pJYbYzrvZzIRFlEPmHKsrogyXGd3bNkgXCbdos0kaAht9pUmjJ2800KjasyYEs3gjkbhVAGdj4HReH6EVcDeBZwZrpbZ7LEpnq7WkvuexG+F3K+Y3j8cB2070ZAS5un53MGp8ri7pyKkg9c7kuVuSceRR43Xj5mdnpIZ6nBIFY0FHix+y4qHZ6kojLAcSDP/5CcqNQUad9kWgynXCmzZwSJkiTKkChBnIK8XLyWlUPIDOQlUGclEwJT1CmJwu6llLSrWAy2OB7Vco0iV2JLAM8AnxiZz2mR0lJTI1rT5uZ1217/isUztz2wZss/XB3gNg4ZD+23CGtuGI0jar4GSzreC4QVKGuddLI2BbMtzPv8Cqzec1Cn361sJmVXeZYVK8BhcwafLOHUWW1EWgOelXq65uKsU8XJEpV3rxTAzppvHXunmluT6+3MEnSMXYDby6sTIwQRn7s/4GvPtpCBxpfCzd/OKwiLNrqi4m8ymynyZdbkMwAViVEMRx63XzPkW1/Z4/c+1yJMAvqJpJZYxjHpylWu+jOpnDMTF9SlmByMlnkrYQbuREmUMo7RpUxHS2Q73pkSwEvAltUyikKmZIt0aUUXK8nclmXLRDKwUrs0UdfkrGWBtSFJYm8YjcbfYo15YFUGP3T0NDPTrTf/0ce+9I8vXLiIr7PBmSngLFiRjdgqZ6gKUJMl3bOLtAT2ybqFMrgzAMgSKCRFzUN5tEHG3G4Lkuw1KYOTt2FVWDzthvFUFdxunMIEc6c9m37a3ubprOEgLt0jQiL+/O42iQ1QefayHGAWfY2Zs1HR4Ey06xnppkMlWbCpEXi873UD/uTzY5ZNxDCpMUwEXkzO4tlY6qzozNmFk1pUUliTogRyQaLTsQ4qBbm2KOPkSqIsKnEVjC57LPPS5MKiLFd3FmXMeVNKDvRCqqyQaxNre1GoVc5+F/VLRQ1U9p9Q9LuL+O3BP9608y1f7XdO39mc2loF+GAU43nh5RcWh7vPzfdp1v1q1Vga/Kr0j5v8Q9jKh3whWZIBPGfykjzJgT5Rnplr8QnNmYG+PNtDKVFo8bTirjLsJgW2VqJwUnI70HXcu8ZkmzJ3EWDqEnsHXsjjhyWHztawykNJiS8NerJOoyTAJ12U7J71p2YNELnGTBRR7LF7c8TVl/X5+sE6kfIZxoKaBC+x6Fik8i3twolTHY50cqHyJ0WJxUVJGhUNBtlMSK1MCu60nU3ZErizWiCblglkTE6+eogSuBHZxKzV2Xu1W5XJC9CXO7xsjk3rLmqziGJ5N3Z0uSC8cwWDHz6zRLs14szSiHEiaDCh7Vb9AJPAfqGPX/xG+cIRk0AvgVvlNd+F7VZIFuG650UBbhdkirxbXOfglhWAl4f/uG57cmDn2cqcuRN87RI7risowhLxibsbLCzUEYF2vnv5IpysQSnIqWIRGlNl1Yo3bRRRpFm7RvLe1/d4/HCbcVJjoHzqidPiWTmrkqTgztYKk3riWRrcsXiZFZ0/bksXWLknUqJMtiLZ/LkDeDrrPS1XFun3dqCWRXPEJINPNK1UlvmVNLhiigIlxs4gn2NFWneu1DI2PgdJUVyYA/wXfuuvUEqyON+hlk6JlcJWTtY3ee1d8pb5/4U8mXgsA7rM4pXxYgVjyzKDK1Fi8UyuSJSuAtzX6QAgL9s6MM1waouXp+JN+jyp3LVynTvPn4CP39ViLH2UVGn2snohTmYwxSWOVO6klNwUU/J7g0Tz3jeN+MMvDnj6aJ1IeQykxE9M6h4JZGJLx8m69jJRjoBM+req+xaVmTwxoHML0Y22VmlJgEpsMawzn8si8gs6ntDj7nyWi+UoMXkG8m+01mfHZ5Wct7BpaYJ1rrK1WDyGnWdJwlNYU0g0DbD/8Bn27N7c+IF/+Vu7HpmfQ5R25lITAJ9IUq1+1lY5qUJMPl+pvS8tUUQOnMlxyLLE2FmQmU1t0jrb5DXV3moC3Fn63ssak42bGZK3iGU9nXF6j1BeyKEzml7og9KpPLET5bGTF271YFQHGk144Wk3TpH40TQ9wZ4tI54+FJKYgKHxqSWuZltnW8MIt5FrVrMvcmBnDREmPzlF3b7L1el8sKl7Lxuaqg1pB5GbeZM1JGfTtZKsuz83AIrgMg88J853BpQKYa7msFwa8vlKJaXNS60FitFIIIPNu7Zf968ao/6/HNSa2x3ADxw7z7m5zpu2bV77k/c/+Cw1Pw3OJhMW2QezE7UVq3yM7Jza8jJdkjo5AGQVCAWwiz5GVWJFVRmqmYGcokZalUCdP0+TPIrUC3fgdgAuhgJ5ZXlSZm+V9nX6IYs9w3//ixYLwxoi8Jw8kbayqhSDc76BaMtrjkS680qZwZ2jEseadkPzY9/W4yuPt1kY+4RSM5QSP+2hLEY+pAxerqcXhqyM1mJScJu8xLlwVkTK4DYP0jOwKylSBneSKMldFHKZUujwop1QlORtNqgoA3J5BuLqnLk6wxd5QXfRSWmxCiwawpDp2vqfHHaefiCJB3+ZM/i9X3+eWi3g2f0nsSbG114B7tLWcy/E4pc8kasBfILdCg0uSrpqUqJUB9PkwJYCqYrxY6oEai0lOpUkOgd4prlNHlR62uTg9nRWf1Flb09F+H7Ix+72eO5IHaSHlJIgK40VVUmX92EKwWrybnK4UdFdXoA8NjLd5Mnj2t0D3vHKLn/4xRpGBwylTyBFnvRRUhCVArpJJhdlJp+w4HKpokBZtyq4Hlvy2Y6O1QXFWIliFk0xmdb1cQpZlSe5s1IiNsQlgs78M68iTXLs2DS7bZG51BJgQobdYyglMYnbGEIDzDQ19bpmuqGo+65eWmVX5gTL5ldRSY6sBu6VkgQyw4z0QEwCvby8Z+1eOZvnDPmNAC4LgOeJngzg1s3JTqWIpwq3xCsNByo0t2NvT7upVUsdw1/d02K+E0AtdU9EKRi7hEQhqxGZIKdVbbt8KoF0BUaJ20h1pq34B68d8JmvjVjoB4RKM0xkak+K1L0RRTO2LC/7DthuxztSF8zkmjzrjdSZs6LS5+lsdyMhUeTHvQxyIUWp+z4b4plKk4oeLw8/sqwYCydsutzblRiypdfCIqwoZJABkc7iiYXHOKoTxE2SxIWX+slnDrJh3Zqdd9z98I/PXTjLdFPha7viJAmRQbQK7AnZvUKWZHZO9QJZOTSzwt6Vg5UmTirArs7+Lne4uOHuVMGd7WyQMbcqMfcKBs/GTRQjJ7RymctjxwUHT9QwBAip8+bccqxSSDpRcjWKL1+uRSmYXJTkicidjLzdLNFgNXt3hOzeNGJhfx2b+I7FEydTdMnFKdizXOiVCu6sjBbSYjlRCj7dyOvMOizHNsq4i8ZIUu2dnZeCjHJwG5ESo83ZtsCTzS/4gvgKzVumgkkZPPlvReJWASncrn2COnNzC9Smmj++cdvrnly8ePC4tjZhNB5tVMK8uddZpFUPVurlCVBX14zC117J2BOvS4/5rBCqIK/KE1FyJkQp2CwA7RicdBRw2Qcv39MtrVUZ3CWQp/vVe2lpaMbeKn2tdYRSEZ//eotD83XwC3nilazLygXLynERk7fqmLNSpq68u1lWRhtqLlsb8rbbBzzyfAOMq48eSomXpPFSUpVKOXNWLLkU5NZWZtXkz2X6XKariszu7tgn6YohRcrqJlthbU5MRcKn/Dxl31J7W972koN7EmO2iqvqi9K/z3Ck6A26bNjGm6NovDFO7HGdle9q6cYlBN6qBY6XeHHpn5eZa4XungB19noyQMsALVYBds7mSpSacEvgTucTFtt2sBLYuhgQlI940yYFeezkiYqoN0K+fkDxl/c0GY58aGi0dIVnZWky+fnL33lVgDOhvycsw7IvHsWaqZbmna8Z8cWvDXj4gI9tegyTAF+QX2gq//uFDi6tpTnIbQVGprjAlGPzRDo9bkqsnQX1Jg0upREl/S1KgW41hip0dxEXuPdEDtTJuK686n2zOMRCFCmiOB09kYCO4ogwioCEmucyfJUltPTfKid4sr9vL/H3Kmy9AuCiynYlx6T8PJciogC1VKXdG5RIa1MKcBcgz8pmLVoXI5R1ugmTVlWgezlbu7tSLsD0/ZAoTPjigw2eP9kAz0NIlYIqnRtSzhdcooqw4qiUWZt0MuvE/Maieq6wC8NQc9X2mLe8vM9Tx+uMY59EegyNwk+Y+CzFiI8qg7tHO/FZUNnFZjBKoLISDCmwypVqZHo8X1ElqZORnhtTrBpyEuCTcUmF7ETO1t8onrtUYWom9eJIEkWGOIqJoxj9F5/+PFopOt0ejbqHlFltSTES94X+w+Urqvzhcs0uJk7yKsxdBXXG2OUAs9iBoJAmJaswZ+wM4MXk1FyipMztGNvmTK3zx+K5lwaXWkUEfsizJwR3fq3BYOhD00OKrHKQkj24Shaz9D3LNJDVojh0pZWFq5TPFnNNVN7t02qFvOVlYz5z74injgagfUZG4qdaXBm3wW5ZGoiEXB6QTGQQVeHkaEUhXaRj82xVyYJ8Yx3YpSkSbcKU3ZT0nJuC2SdzHCvIbwL0l2TsibqVFfVQFozxOHjgSU6dOoxJEnS/t4QUgjiKqAeqmGMxcf+GIF8V4BOB5TdicVkCe1lz5yB3eruczVQqrTBMKwpdO1f6XJfng0+AO7172RTatMBfq9jddYTnRcQ24XMP1Lnv2TrUNEjX0OyVSngrpbHle/nFpVjHTpyodFJC5qgkRlaAPh55vPraAW97xYDnTtSIYw8rFEOh8RLyzySSgsWLj7A6k5eH2CuVMbdjc/daII3IdXju92eMnq22KYPnQzsnwD0ZcBYgL4LHHNiXil1KBXx50VWpSjJJJNHCAN0Jsdaip5qOtcdjsCbKt5Nw4x8m9sbJGhpWw3cpEp2UJAV7uxeyDPBSW1d5Z4EKsCtSpZymL93VBLhV6a6LTVAzQHslUGfOiXNM3KNSEb4X8eRxycfvbgE+SA8hVN5FpNKNVOUEO2XfJztLuT06UQtddlTympByCW3iWvfcFFqVp++t1bzvdUO+9OCIR4+4SQKRUQwSkRZ8paBLbL78rzAMMl/CWsfiJaBnP1Up6I1M9/PJguJMe8uUzYV7zM+hKQ3slKWLf4WbUpIoE5LuGwI8T5IVxy4xuG1PYoFUEqxF+57rcbQ2wfOU24E43/WqBHLsirqA1RKrZcYurtAM8KUpqxO6u5AqIk0WFNZTBvB8Tl4Z5FlZQb7ZlNvZoRiAX4C7wtqlx6yxNpMqSsV4XkyUxHz14TrPHK6D54F0waUvbGlybDmwEisCq0l5kh03W3qSN0CUakQq1YWJxKjUUUk049Djmt0jXn2rY/Fh4lh8LHxGBnQiisAvKdVtCEoSxX2AcqxVXqmVBKvSme8Wl/20AmEFVoC0opAqpaCyYO/0vJryhV+2n0WFBAuCtC/I4NXy2clqSAhDECnRWQva09IZ5YnbYi4RApG4skdnGWXapnqCJoPN8nnM2Cqvha6cdFGRJWXHpLpHzET9iSDfeyffvThrvq00PBRblyg1Ae7SUPzcPVEJSpcAnkoUX0ccOif48BdbjCMPGl4qT8hb01R5l+Cyc1JZwi5xslYstaUmiNLmAMaupsU1zUDyPW8Z8Ln7mhw44y6+xCgGiXJVhkma/EE4/Z2Iwq0oUVO2JpcBLm2hxWUKFGksVrpzZKVwADelWCljclOOpar38l5FVZepDOpLT8li4mK0EyOXs319VPrvrbWoX/+1X9ngafWfTp8+vdeY4o8Uhrr7FAUAq+BTlfdEWitSvatV35eptZeNA04flaxYfpP3bGRC2ePOH3Whu52DUgV3ea+eopgq3f1BR3kzg6dDEhnyh59t8Cd3TkMQgKqhlKahLHVl03EU5A3OXqk1rsiklhNRkmIyLJUAtYglCtsxu2iFJG38LXohlbQIa9i2MeTMvOSxZ3xi4SYPGKEQwpXSrhb3VGMlUe5DKF7bkqhJwV7mtNyAYEIu2HSmN1Tjt8mYrvTzsgdfDGS99N1U3KZ0tmG+bXy6x09iuOaa6zfefPPtX9bHjp+eXlruvTUMQ6TSlStZCPdclD5kYTGJ0v8XjLXCFiunaHNZUpYkZQ2eLnVl1q7UgduK9pY5GApJokraW+U7PZQ2olJ2QpJklYIZe0d4OuLgWclHv9LAzV9x7J137md/X1AZLyxL37scaIryixxAK7VkdZOA0kYBWVbTSkyiSFSqxRPNt79+wKe/2mDfaQ9kiBWSUeKhSWs1smOdpCc1yRI/2bksrczWvba42VjZZ5PpuZcWpHWyJdPd0rq/YU3qj5s0QK2szlUXZTVpUpF0gksplBUXT5nBk/QYhmHEaDR469zFs9M6DEPiOHaZqJIkya5ma13uvzxxa/JW3gNyUnNnj5eUJWUdK6vPywB3XSTZqlF6ngE5q3bLNHgJ3G4iq0kfnR2olEFlfreKUTJGpfIkUTGffaDJvkOF9pZCOu8776Bh1RMomHw9SQQTVlemv8snzoiJhI/rfDeJTLdpdCn8MNJcdfmYt7+iz5GPBoSJAqFJhGYoBDpJ7TuyQDdzVARlPs5D4IzA0t5bN+LBpjt42FSLp3dhixS/cNtGSiswmUwp+eBlsJdXlEmwU368lEyZAHhlmH66i1uSGMIwYjwO0TNtsDHUfEGUFA6G+7aCHOs24+6Vf7W8Z2VB5mU7aPILrkwErN7cUGXt7HXG2hnYM+bOga7KTF7obpUFkdkWJ9KgZTE0X6kEz4s4ek7xW59qM5Ie2QStoms+XUHKNdCl77GiToEXPkmF1eXYw6y6HMu8VjwDt5vy5BEkMT/6rj5/8dUGR85qUBEYTSQ8hkKgksLRkOVgcwLkmTdvAZ1dcOl70rr0vMWmrJ154qbC5jb9O0YKhC1Wj5VmQgr8EltPsvkLHcLJgNiYbAV05b5haOgPE/xhgva0Y68yfAWpI2AsVoh0fER1OVsB7uyDrRohl5I6aZXbagxYBraYYO0skVIFtykkiqwyuK742ymYK3536S4di3s6pBsafu8zbc5cDEDp1BqUqTyxFd87f146QVWWqia6LnmycsBnjQflHs1sGZb5PW+GkIok1mxZN+aH3tHjlz7s04lcQGCtZGyUsw2T7HNYSASFwi5AXvy/+4lK0WMtOXOrLLOZBaDSFgxuS+cutQxtzuCrrXaiAujJwLNCmJcgiBzgk8pC4CZ3mQS975ih27Esdi21oKS/AaRwe42KzDNdbekQKz/cJKhL4J4EwyRzZ8AuWLuY0pqzd1pwXwC6xOTapIxucmni5IgpSZWMseP8UasIHUR88nMBH/hEm7HxnDwRKpcneVPxhCVW0d356iWqR/wFTlLVKiyDPkvZW4wxeXYzT+EbtxV4Tcf80/f0OXjC50OfdVocFImQjIwLOGVCzuBFAVZ24orUfdmudKAuJIu1KZuLAliOdFIZW0n8ONzkdekpHkyZ5CoSRaxk8EkmLy86GSmUj7JwAf5MW7F7q2b9eo1uNTzCkcr3D0dUvjeu5630l1b5o9kHLH8oWTrxiMmrt8TYOajJs2AFk9tSkJlu0V3eMlCVXQdTkioZmEtMLovqwFx3549u1uDiEvzFVxosjTNwO4B70mlvLarypLLqZHYZqx+jCmNPZIczq7BS1WdEnlQpd/rkdeJSooyb+Bsnmik/4V1vGPDpBxos9BTICIwiwunxyerC6iV3aSZ3eaAiKZTVp2TBpk1ZPAd06pMbu/Kcy5TanUpKpUwO7nJTchVLL8Tkk2ShpAAjGY4V3YFGl9u+clRnD9kVNkFGk5q7ssRMvl7xJScCjXLbUw6Y0ogIaSvau7DSVgaV2XCaAtxJJcDMgsxsnxtdYm+vEfO5e2o8/EwdU9LerqkhkyfVepPyxIHKKiaorGiXDphS9szts0KiTDZD2HLQaSXKFr54nHhoE3PbtSHfesuAP/68DyoEIbFCMDYaJYTbgiQLNEUB6km5kpkL1jq7NmN2JQsZZWWpUEy6GS8V5k6bEqwszrfJSCyznkuLSDXjXT1mBbaKNy6pz222Nbi762zopKcm4n2x+hUkSn9gtSWlHDBUnAVZZvZyy3+VsYWYYG9RBXbhoqSvlUWnI8akTB0TaVNdXZIkmWMiSxJFuvgj8CKOnJR8+HMtzvd8t9+1dIPelaDYsWEiXljxPcu+8yrsveJkULB31f6a2Gox2/eo0nXv9s9xj277kw3NhO/91j4PPBNw5IIEEQEKg2QkZGkTKXcOMlDnNmb5givzeZ7NTM9Dmc2Fe56BOZMt2UrsflbIFCnApM/NRGtddgwRdqUqKMljkX2+1YAuBFHi9hcNQ4vOS0/TggF7qauKS79fzUqRjwdYqbVLw33KPZflyre8vrrE3CoD/ATI8xnZk8+TXHtnLK6zccAqRskEndqCvh8xTgy/87E29z1ed71tUjvtLaXr2hHF/JX8s2YrywTrTDJ5Geflk7Eyg1m4FsUe7+Xy2XIZrWs3M5mjkhhiqVGx5tUvDfnh93X52d/xGcfSZaDSdq6hcNnH4rM5kFdGOFjXkkbp87nXohQbpN31Fqy0aYBZzArMg878oi9WPlvCRHl1n2Rv9/OiKyn/nJmyyHVECejCHcjyQCM91YwYD2OsNRhT6rgonazJZWNSkkhRfb8aPNhq8Ttlv7s82GcV9i7tPy9XkyfS5t3ebttsU5IopbG/me5OZ1znwaWM8fyYux/1+PR9DcahB3Wda++cvfPAlsp9NW+/sqxC6QStpO9SjEkxkqwMblzHeJm9bTFPXBonVTKgx7Gm3oh516uH3HXfkC89qpxtiAQhiYRmmK2iZCApCrLAsXBeyltaZZxFmIE6/ZzSDasXonhtU2mSAV3kwBYpc5eCXUnR3jhBknkOodKZn10IBdjJ8Jr+flaPPxrH9IYR+unDCctLMfPLMe22drPmpagwbXZ1lU/q5Hsrr0C74t+skCdlJpxgbSFLjkWmf/P91N3rXHvnk1ALYGs1AXRVgFun4Pa9iOW+5XMPNDhwruakiXAlsSLT3oLSBCm7Atz5KkRxUqpL/gvfnBcuckuuei/2Fl05HKioUZFSIU2CNJporLlyY8S3vrLPw/t8OmGafjVOj4cosn0g3P54ky1tBS1aXHInvyClc1tU2tJWsDm5nWzSY2Qyf1w6q7k8QiJncTtJoIVPvxq5ZnkGmVva7jmZ3546b+umYe8uWLfWov20XsINgrS5vlipL1fRnZcA9YrfTX9W1uFZkVKFvUUWVBbALoNZCCrBpcwHs9sKY1cCyiyRU3ZRpOuUNyT80efrfOBTLbdrhZpkbwrtLVf53BPLbXbcJpfPS7F3pZKPCVDnTL6ylc3kA+ENJpEY6XxxJQ1R4iGV4Z++c8Dhsx4f+LQmiguQGwRjIVEmGySRgrvc2paDWhSRoCy/nelwCqALB2SZ/TORSZVixESmDmyOk5L+ltlqUloVbREfZMqg8NXdZzaI/COSqQMpXAdU5KPbLUUUKmpBtqmoWBFIletChLg0qMvyY8XPJhm8HFSW3ss87ozZi82W3NyNScdEZuBWE/JkYs96le494zR4hOdHHD4v+fRXm/T7HtTVSvbOa75Lq4soTfui9F0nnsM3TvIUDF4CfUmylOeWGJPVe5SALoudD4x0WlxKTRQltJox73zNgC/eX+fwuZTa3IBqEiEYpsl7IUCYFNy2ALvNQZ26JaTJn+wizp2ULHXv2FulEqKQJyWgyyJ4lLnGroJZlsBbHFN3IWQrQTYSQ1ZcqKLxYTSGpa5wu99Mt2uEowBfl3bNzf5QVlAkqQ7iEUxcbZP30kyVXOqUPnBlqbcr5Ek2DkyVWLyc2JGiPJg9c05MZbsNWZIlUqaOScrkWseMI8NdDzX5yhN1Nxxceg7gE+ydFXkpIagEwxQno/zdM4R/M95tidCrQC/XWZg0e5jvIO22InG62xQyxUgSIVGJxAhFNNa84YaQN9w25NQXPMYmPYmuEooYzUiANKVtq4TIDews9aPyZShzVNJrRZADHyEKss+y3iINPMtAz+aZCOtqVhAVvOQXBmWGT39ekjNZFhXp/huufie9yJJ092ijMfjozZu2Lvf74y9qz/uHUMoaZmylVtp4l5Yrk4y92u/bkhNBafnKQF/Mny6AnQG9KButOidV/a3y9HtSeh4jpevUkX7MvY/6/PIfTJFYXTgnUiGEdPsAiSItX2XwsuOzOntXwC2+AbIzBlwhU2xFrhiyqVdpMZYoHJVck0vnjQujiWOD7yf81Pd1OXBac+8jEuOLFLLuC0RGMawIKluSJato8twLT1fb7POmhJWXdaTBo6EYJWFFcY6z1c2KCUkyYRe6bSWrLF6O+WyaiMxWFZHWovuBz1S79cWtW7Yuq42bNvcvXJw7AvywNXE6z2+iibcU8JV3EMslReV16l2r1QumnPNRfcytv3z3sHIAOZHMSWu8XwjcZamiKwkd12t5elHwyx+e4oEnmm5THuna0ZAeWgrqEgJJusmVXVm7XbmnDdD5kJzqMKKs5l2qiYbpkq4vXovSRT+R1S2TQWkOoCgRT1naZay3djYm0JaHn/ZZHpY0ZrrIZ1PEi4pDcmdCrLg6v5llqVSMW65AzRJZpYs7ez3ZVZS3ZaQBeKacyp9hMkWfgxxo1AO6ncXvPXL4wAHtSjXdJymDNANoPi1pIsgqi/5J5q50dGcHnuqJKTN4JmHKw9TLDC5X0dzZDgOr3lU5sExLYdPniZ/w4c9M8Zf3NLE1BUI5dAqNkLLSb1n0N75Ax7woGCaPhlae8xUeuJ14XQaEez7RE2urHT4mnR9oU+Z2Nm9aoyIk0igSoZHDhHe9dsjzRz3e/0FNGMQFwIXAGo9xWjsjsvx64swGiy2B0qayJM1umvRdQRFsZqyMY/PM9y4WhMxxKRg5lx1Jtio6PZ7Zh5nEsVkBV6mkevJYZ8FnGdNaa7f3ZJJezTrvmpnYVWFV96DkUcriuVwB+hcAtig0d5GatxWpUhRXmdT3ngC4MimAM5CXwZ0gS7UnX3ok4A++0GSUpFPwRWYNpllLYSvae9XUfPkYQPXipvr4jdjPpsFd5j2vyGhiV5TQWlnKbMqSsyKUK8ySaXGWNCRGE3iG73tbnwef8vnSE84uzLxxpMBYzdi4jq28iGTSOkyRmkspIVDYFNQlkGdND3lQSP47OVBlWjJQIgmbHTc7ob9tVcYUWVPh/kZpBciOcJyAit1X0U4Tpf2M0p3zHNz5ElqOcIsodiVzl0Bc/nlpZl4V2IUmFzlbV3W4k0amAHpFh5uqBz7J3jIpAkwdMRjDL/z+FEfPBFhd7JZc0d6ZRKoAewLQrALm/ACL6tF+AUFeXpqrS7S7m1X1+MraFCPTikNZZnGV9tZqZGi4bEvEv/2BDg/+REBvlH4ZI/PPlaAZZfnvrLjbFCC30lGkyhqVU4dFpQGlleQ12VZkOjwFo0gbIbJjaCllNDNiXG3ERHWlzByZDOgm/ahuTrhMj5klTgwyMVhj0Rs3rkFKxWjYo98dpaPOCsZWsgrMSbsv+1mugTKQl1hdTvxu/jslOSJEYQUWEsWUkjylvsSUzXPmrrgmpd15U89b64g4gd/4ZIsn9tfSnZoz5i6cE09UZYma+Oxly3SSud0bWW2FuCRfr2DyCeekaICgKGayLk+xotpQOAbPg04jHcgTiRHpPUmlijHcuDfix97d4b9+bJowSVkc8qgwQTE2mRZPcyIlkOcSRZSynMJt0GvLbC5dwGczKSFtCuqiAcJOHNPCKRG5pCsUQZr1pOrCCJFWNRrSi1sQC4vnNWi3WyRJgn7jG95Mvd7g2JHneejBL+J5fskpKA9xWV12FMAuR8B21Yug8rMJzS0mZEmhv6v7MxbsnRS6vJzUqdzTwLKW8OWHAj70yRadoec8wNTzJm3Sdc5JkbUsl/KWdXgxmm2VGYSVsEzkr8UkoCdYewXeK0Av+7xl1k6nwmaSpJwEEs5GTKRCWuPqVWJFu2b4wfcMeOy5gLu+rqARp0ydfkIpiI1kRBZTFCC3uNJYctvS5t3rSOfsZJlOm7oZZfmSy5IS0DMruQz2Ko7cHzAp61dju9Qbt+Rtcom0hOOQq699CTfecB29Xh8dBArf1wSBoOa7xoDsD1xSkqRfbHKCf1GDYid01kpgF6CfkCUlSVLIlGKHXQfwpOp3S2cFynxfdRdYShkjdcz+45rf+nibwwu+W55Sv9s9yoK9SxZpBeSryZOKNJmY1nRpyV3I2olalILFi8RK4TSslsafGBKUFWJZk2+WKjKpIixCamRk2b0m5kff2+P4ec2hMwKrywJLgPRIUpAzAXLSJJDKpVfqd0PK4iIPNDMs5Pq7JF0yoOe+92TKvvxeqdpRZGAvYywDe/p749DpJ6U1Uim0+1VnEknpNmPKTtDk8gxlQE/8cUFaF1AAX66qw22JrSeYO9XiKpUhBZOXdLcy6evJZE4BdKUSpIzxg5jzHcEvfLDNp+9uYD1VpONTabIaexd13ytT8mVwr5bUKTN6ocOrgK+w9gTYs/dW1qSUdXgG6HIAmnX+OAaXInueBp+JIcbgSeeqdMaSn/xVxYVlAUGZbgUWnTN5GeQ2a2FMNbk1zlGxaaNM4aakAaAomFxOAn1SEVhRJY6J56RYKhSDyH3vcn1Tkro72QApLYRC6+C8lOLO6emZN0fjLkqKlcBecfLsij++MuEzMZBdXIK9K+l5U3FOyltHq6xiMAN4KVMpU9fEPXe1JiGGz36tyZcfaaS1JiqXJVX2LnYNLs8bLLslcpWDXlTlTWjxMmGLEpAnb5P+b7l8NvOITVGlV640lKmbkunxRAiESBM/qbMipcRYlb4nEdZVHAba8qZbRrz95QP+5IuSMBYubZt9eAkWj9gKRllnMA7cbsxsWZO7kc02jdeyjKIVriArK4wqZEoaidjq8S1nL/PjWcZXrhpKeCv9XAowxjC7Zg1Syjvrtdr5wWCI+pX/8t943ztvX5aSZWvDfzTqXcDzZam51+aJjOpkKZvbiOVEUMXDrvRSFnXcxX+zVPY6WQZbsQJtAe4J5i53xOsU3FrHJNLwmfvq/IffneLY+SBtYigSOq7mRBBIqEk3yF6nY+Cy2eJFMqcYDefsw2Iwfz7lVoCUkvIwpPKQfjetQFYTN5lTN3kvXVzlMoZyPFPufhKU6jwkK35XpEjIV1xjWdNOuOrymFMXFYdOakweEZaRJJwDksmwAmqXWLpKK1bpRXmeVuVan6y/sSsfTZaKt5mzlPn/pY1s01R9GEZccfkupmem/8Wzzx966C1venW6T6YNsQaUiPB9N6NQrEo5pRVXFOvrChavXJFlNq8mdTInxZ2IiT3QM5miCtdElqRIBm5ZCigzS9DzEo7NSz70qSYHjgTQUrkkyRM7UubSJL9AKYEmA1CZuct3WQRBggxAVUZfyeSFi7JassextplI+BQuisxPfDV979jL7TqceeMiZ3aZy0YjFMI6bzwaW/bujvi+d/V45Bmf43Oy+MIm0+NOhsRSMMrigXSEmzU2d1FsSZdbMeGo5DIlS/zYQq5MHtsSc08qhcmlb+IaQiAIY1cHPhyFjEcRkG5CtXX7HrRfJ/BCov5BEHFxIkoHujh9trps5Be0Lb1XBni1C6aoRyn53xPAFnlwaSjclKxwqiRLsvdExt4Jiz3Br/1Jm68+USuqBHNgF9LEl0yMQS5kliod+NVswdWAP2mBf7O3cnd9hdXKjGYzyeIAlcsUUQJ/KdMphXUNBsam4HZ6XAhHXkYYkoHhtTeM+Wff1eXnf1+ylG0QLFPtkW6zaY0mTk+0zQLOzF0RlPR5OrTTFMFmWX+75yIvp60EkzlJ5vFrFV+XOGZFgG4xVrF9x3ZuuvE6ev1BAfCpmY3UW1vuOnvsrl9uNLyfTOIxIEu+awnSk8QuCk5aqY/KAeaE9i6DP3dHsp+ZCtjLssT9rOR3yyJbqVTMSFh+51MtPvjJFr3ES7OVVd3tZvcVzkmlqKrEIpPZywpTrwpmixCycmy+WXCXh2/akm6tuC0lu7C8cassjXzLmNtIgTDSHU9rXSNuOr9QCENiFMSWlhfxw+/pcWFB8et/0maYSQ+TsXkJ5NJJA0R6sQmcNWjyjKGzDwV5Z1D2XTLtnenvwiq0WQqhAmzxDY5dZkdmCbEksTTrNU6eWfjlm27Ye9eR42fdtQrQaG/lyXt/ZmDCuWP1GtSDEN9LShuiZjP9TLX4SVX18uS98jtiJVMXyZrCLSmaGExVhlTA7bxvmWcrnSWINjx/xOPP7mrQjdKMFRmwM9/bVRF7ohxUFhWOWZvcqpnKFVE9uRStnJTSv/lmkF60q01YhhTDKE2JaIohlRMZzXwH42rXTzFESGHT9jZjFdYo4kjR0pbvfFOfq64YI5MYTAw2drWn+WOCNZbYwthCaCCygtgIYiuIDcTpGOPYlve9F/nzbIZ3dWhmMSLDlHR18e+r99i4CbJRDJERhLG7D0KIhcepc4vH3veDPz+4fNeWgsEBLr/2HUhVp3P+TubPPkQYN9MdvkTJiiqdjIzNSxqpYiXmy/2lNLgpZTPLqXozweCFeyJFKUs5kYrXXsLTRz1+7JdmeOZQgPVkIUtyBpclW9Dmg3wmd2pYzRpcTaZUEjuC0qtiXf2m5IqtPq364pN2oQu0XL2HOzfSFpLFpPaYsdKxorUYK9PfcROyhHHeeIJ15y+0XH95xG/+5DI//B8FzxxOg5OMdjMPEAsZk5PWqguBlzoseUtbKqOyVTH7WbaxuC3JkqwqoDL4xxZ2YLHSFZI5D0BtcVEt9A23vXwv/+Tdr6LbH/Hx3/+ZKsC9YC1SN1G64fxklTiQJpIkzZhlOpA0jZyfmDKjlQHOyiCzkCEZsE3lfSVN6b1Cd8uKNZjkdqADt6FnJb/9qSZP7gtIVIm1RVFvAqktWG5mKLsSspSsKgWbkzUROTtPBEjZMagsry+AcDsB7DLCbblPs/J+mdntCskiU/bONhOwWWZTpCGskCnppHrcWBIMWlhuvGrM//bOPj/1Xz16sQAP8iISQ1HCZxSJEITZzBQj8FL70ApL0QnkPngWO2RdPFlyKPfEKWnx9CCKykEpXfQlcGerQJxAmECrWWfrplmWu4P83+niPxAA9cPI9hHlTe1ObJjGqsaxgMg2C7V5wFmW42UdnjE3K7R22QufCDRXMHeRks+kSw5ukaBEjBIJ2ksYGPjQp5t8/MtNxhmYZZm9nR8nU2IqAstV9tkps/ckY5cC6moyR6xgnIqd9s2Rd8X/zoFR0uEG8lHGZUYvJItNwS1zVhfWaXEjDcJKV51nrXtuLIKUzROLLyzvfcOAfSc0H/pUi36EO2AZ9WaPACgS40CeB78yrYo0BXtTSvpk/njW8SNKQK+QxColO/kxyLK4udQRhIlldqbFuunGkammfziOovyf5R+33trO/Jl77jRi9iNWbcaaqkYuUuOr1YtMvre6Jl9Nh1fbzEqyJJcg1VoTKTL2TlA6phfCB/+yyX/8YJuLC15e212k47O7KJI6YmW2crLbv+yoSCbAXn49wdqVn32jSCk7caVCq/LJLF6me7FXKgrL23iIfMRbps3L7+U15BVd7nR4sV2hJk4UG2cN/+YHOnz/O3u0gthNlLdJSY+n+tzGYI3bNiTX5YLIptrcChKL0+M23VArZV2Tvs63H5nU3+lrW3p/hR5P9X9iwCQJe3fOsnld6yMf+8wDd+7ZvWUlgwOM4gZCNj9vUe/wPHUDJK5oBxCpq1L07Dk2n0xLZ+lUWdHgVTtQlOVJRXu793J7cNIWFKXyV5Uga5a//HyDX/y9NucXPfAnmbtgcFVmb1l00VT22aEE6EnmLvnclYxuiafF5Jv/g7dyRrMAv8jfWD11T1pwRcrWqTRJgS1s4YkLkbK2ILcPBalUsU5fR6Fl00zCv/nBLgtdyUc+14JaunTkTG4pt7IbIwlT48XVo9icrVVJltjUFyysQ1FK3xd9l2THf5XEj4OgyAPO2IDyfJRST26ZDT6/3K3afBWAX7bnzVx4/oceaLTFo+NheEMYWuLEy5dOmeowazMDqPgw+YleJbgUwhQZuEkrMAd6KktEAeyqBs9ep905geHwac0ff67Jubm0K34FsF1CR6SsnTknOk1MTHbqlBuhczBDRZYUF7KoOCg5ysuP3wDML/jzXHrYHE8rejfzR5H74zmwMx1uhButIFyzci5NRPXRjfBxyaA4tGxam/Bd3zLgwad8jpzxIUi/2KpyBSySGPd+XouSj5pI68gzHOEEWOoKVtrlsrxn3sFD1fPOrNHECCIDw9j97UMXe4/+xG/c8cDTf/kfKsdRTh5Y6e9F+lcRBD6BF6Y2nUVgci09qanLr1dIkHLKXZnKeyvAXZphshLcSQFu33DkrOb/+c1p7n6sBrXJGpOyPHGedzYGQsuVWnu1YT6V38nGFExo8Yy1s1T45HWwWpZuNZckuypW9iZO+uMTMwtLDRAVp2uiKMviJIE1mY2YypJcuki3TYp102qN0SQjyetvGvFzP9bhsi2h8+Zs1TbMZYtNwLoMbGydZJmUKbEVJXnhJEbWRF3MfilVSJLJmMl9e4rfjYygG0E9qHPbtTu55eodK4hCT77R1e9GSC98ft8FLp99Ci2DIsOc2zfFrPAsryHKlYQ5k5dswEoVoVmZ0MmCTOFclEnmzl0Tz3D8oubf/dYUH7+rQSjKfvcki4sVgWW5kaHC2BOShFXAmQO49DtlO/AFibv8wwn6zgCfH2I78XtZ8id3VKp14lkmz1Yym0UjhDQOJEYUyR9nK8o0K1pEsZnDgpHUtOF9bxyQGPiZ35jixMXUWYEJuVL+LoKYwkY0ErQtAkxVDjBEhhxbxDkTh6py2MqOEu5CqQUjvv/ts/z4P3lTGMcxH/rlbwDwWGxgw4bWT5ztvORqM7z42t0bRyTplU/GQtnEoeIzFoU8IuvmKckSYSCXKIXWLgCe5L8nMuek7J5kdqBOODHn8VO/PsUnv9QgzKq/VmXuNGNJaXhmBmpYXZpQROi/FAAAKbFJREFUgD2vFJwEuyj87lXlyzcTWK5ym8R1JaPJBKNnLpa1ubMgJtg7e0+UtHhmHxYgl2mdd+aXWYRQ6d4iEMfgqYTvfPMQreCnf32aExd90jnMVbmSBS/pNPHYutptg9PZmStE6rIYkY6dwB3PCshT/b3aMSI9d1pa6tLwymt8vv1N2+9Zt27nT8DCin+zQqJcuaPNxcN3dl9zw/oDm9dOJ6PQI05UHpFnIK/eJ7t1qnparBJISlm1BMUlwJ27KdpwdlHxb35jik/elYG7qrURksIWTNlbVrt0VmPvDMzlSr78e7LyvlqAWfBXNej+ZtE9GWBO+uLFm666ryxTMrljWGVbvpKTUplzaLJpWcXWKNnE2jzbaRRxItEJvPeNQ/7Dj3XYNBsVEiWXKZMOi/vATkak9wlXxaSvc2liyt+rehzKhyCTip6CumfpLE8lTx/aduBjn7yzK8TabwxwAE8LTNz9sd6o/XRvGBDF7gBk3FXcLZMJHSczVvreK8CdXQCTQJZFSt6l4CM37kHD732mxcfvaBAqmTYuTHbnrO55lzOWK8bRVZi5AOhq4yHK/vfqVXDFlfE/iO9qUmNFUqfqe5fT+rklyKT+Ln5mSnrc5Fq8ALaZAHmS2Yc2tRITiY4t73vLgB98Rx+dbUiZ6e9VQZ7kIA9tkdovQE5uHZr84iyBPL9Yq8cqS8B5yjLdEGzZMvX03OLwx6J49SO+KsB37nkzZy6KxHjX2zAKcCO3KmNb8j8GVQavpuVXswUn3ZJyTUmZuY2rEFQGtODOB+p89M4G47wiUK1+p3BNin11SoCmDPSqZJkEbTnhk7FHWSOWAZ39wooy2W8G3KVfrMgUqoxWcU0QZENxJi+A8p73xc7J1bupPBb7/kwyuM38ciPxE8t3vHnAG18+RCQTQWaF1TOgJ5CWCES2yuRJCeTFLhZVkE9c9/nFn/2sXZe88ZbL7GwrTr77O9686vHVXOJ28823Y5LhR48998Qeom5TysKLJTd4yifSFoyeg/0S4C6l3kUK5EKTO80tRYzyEoQW/NV9dX7i16d5/miQNgyrF7gX0kStCCyriZxV600qjFw8z6XLhG6ppO4nQP0NwT2RxlwpT0ThgVMOLCc88ayLpuyN589L1mH+CJg0Ze/8MfcoZOqHu/Pndr62uSZXIua63RH/5f/q8K8kfO7+uhPS2VTOCevQaXP3CwZBCK4aURb4yZ0oSrUq6VcvIy17zC6CxEBrel3/xptu+WirWbvkMZaX+kF7ZqsNe4/82qYtl83Xa0N8L0ZJFyxmH63ig09YiAWIJsFdZC5XgjstohIxUjtw/+W9dX7qv0/x/LEU3PJSwE51t5yUJqVyWCZ6LEsArrbclZ2UQp6sqsdXAfYkG6+O7hd434rqS5sf9FLDw4ROzX3zUt34BIubCfauyJRyV35mH6bMnpQznqHg6h0Rv/zPOvyDVw9dIUhyCSav3E3O5OEEk+cMnn0XionlleOc/v4wliyMBFddc9X8F+9//tcuv2zrJQ/1JRkcoDF9IzZZQId3Mhr1WO62i2BTWLIJ/NWzZXMJIi6lucXqzJ2VviqVQAruf/0bUzx7pPYNwJ25JoU0UaysEMy6cFZj7yrYq9Ikx+yEhbhK8WDpH1xiZ4dVAD2pM8uuCaXn2aw+bGnj1gqb28JREeVxE7YkTSQi7bzPXJbs/Yy5SSsRMwYWBgyqgF2UcN2uiP/4v3ewFj57X8N9UJV++oqrUjkoGAQRlIq3shiuNA+8+k8qOQRjBPODmGYr4GU3XcHmdTMveHi/AcB3jI8c7v5v9z563Z+LcF/z/9fel0fZUdznflXVfbdZ74xGI42WkYR2IaFICCH2HWNDAgGDFxKf5zzvsbGJTcyz80xI4mDzXvDCIwl5GNscwyE2fhhhOyzGIPYdY8BISGhDGyPNPnO37qr3R3V1Ld13NBISAyR1zj3dt7tv33u7v/r199uXz8qgGlBbaTQAYFtV7IAqakjpepJbKpWSc//qsTyuvL4Zr2xOkdxRVo4JcBJJajs73o45cXm1S0ksBdIBewzyeGknPqgZ4B4zDnzHIDbfx8C2ns/KdGjSD5Oja4uKSVUULTGzgSyzYSSxCZUdykiEP5VgTCiNaQoglUdUgaWzpCTnAvj1Y/kkqF3KAgDEk5IcUjYyoq0/lBgTm2gvpxnpKQRw+rISzjll6sj0dv7prqldlbGuLx1r58Yt/TzTMP/pZUeeP1gZnYq9/XlUqky2k1YavfrdjnKpIgQJsZ04lIwBbhZCeAS/fiKPr3xXgTs9tkRbTaSWSIgbKRhJathSPJHAC1M5NiR3ZBWxJwCxKYwJdNhURl+YJM7dZ168TZgATR7vKpMJKc9hcXOuFFIrQMsxH0ZBWJbCGW2XvehZTFeE6rLMmayYVaVYPKuGa78wiPetKYOFjkWlDlVBBOgg8kaGjhVF/Wk1X2iUeZX1gI4mjsmNzTjrxHMHVyyb83RjrodjjDEmwLunTcH0Kc17mwv8ogULltUGhxH1Std8z76XwuLiut6JSUO4A+4gltyCUTzwTBaXX9eMP2zN1AG3C3Qag9sjKU4dJb3rKZFp2y2QJ7dZk9rZ9lZHmtUgjgV3jtF8PFbxbfDH+2BbVKwklqhClsnVIwEWKsuKBXKmeTln4BWKxd01XPelAZyyqgzGTetKkMLJgwjkAmEkyZUlxU3RUwJC3SOPAVk/xJGLl9V6+sRFoMW9uXwXxhpjAjyTodi5czuai907pkyb93pzcwGyrz2BqfiQGNwwLClGUFXEuSU9CR1wS1Og8AjueyqLz1/bgg1bsjKXMlVyp4Ab6WXXWMIUaBQBhWkZSaMsybJrLvBhrscHJwn5uEyFdXi4UuZtvq3s4aaNXFkYHKnNNdBjJxBgSGwYKW2yTayS1nbcigqxNaS6MidWKebPqOH6Lw/g9GMiSR7yCMy1OoqniGNXlF3ctIGbjh31tKxUOfINzVi6dNHrixd279i+fRv8DBvz2o4JcHlTGVjpP7Z2Fvs/ccTcmWCkBnXZLatBgntHwLZiS3gC3MyX4P7N0zl88X+3YsP2LMR+aYnyWkYz27CayDJiZjXbFGXS2iZsiW4gMk3hdKW2DV43fc9k5XWAnQZuw5LicnTTcCatJa4yqqW2luq2tOfcBDmNao+o+BFqUBgatS+kllVFgTzkLAHy71w+gFOPKYOGkQtTcCQDtGyQ10Tk2jdAniYWytUQ3XMX4vU3a5+4/tbHtjI2NriB/SiZANDVNQ212jA8r2HXSPnRh0NsOZHyARAPMAMGlCMo3TyoXmbgVAgvE2JbL8Pjv8vjqhubsGFblEs5TnAzop05SmLbElykc2+kBFlBTVLHVKj/oCHtk5n1iofHhiXnFo1HiseSnJhWkwi4BI4EF7ECGtMSghg0bg1DHVstNICp4u4k6vQQ6TNRVr4MMoekj0JSUzMGhSIS1IjiSmrAgpk1fO/yAXzjXzme/F0O2/YByER/0jR0AwAiXg8SS3EW/TdzssunTIgZU5px5poFD5979nG7hkZKaG4s7Bfg+5XgAOD7jXhj81MbCWv5XlvnElBShWoFHQMbWnJbiqXhrdQhrwG8bIgNu3xcfUMLvnBtC9ZvHSe4aeTMAeLCPT4R8ODkVxq82ywFobZZdu0UCZ9IMk6NMzHFfgqaibshBdiuswe2QE9TRvWNN5PBUxxA1gsGF7c9nZqHG1n5wsjGt/g5SeHkWpKLKsWCGTV8/yv9+JvPDWDetCpQcUJtLUVUxAqnkuKWm57ISVSqhFh99GJMbm/83m8efHLjeMANjEOCq9HSNhMs0/p0hvXf6Ylt5w/1vQ5BWGQTN6WhsqSYpdaUCTAqzpMLsXGnj6v/pRl33F9AOWR17NwmuOOi5dIkGP14M6/SdOTYLniRomAapZ2NCeDyDz0JksRaY5tgvyL6IIaS6LYtW2iJDhvYIBrcHFGpYqHPoYO6zFgV84Mkkt6yyCCBBj/n8vJzDgBc3itHkqtBA6CzGOLSc0aR9QX+9oYWbNqRkZlB0cdjfsllhFsIghDamgJox1sQhliyeB6WLl1457IlRzz95r7BcV/DcUlwAGhunYos2bW1vWvVZVXeubbKm6UCA61gxtLaaCVCSWCXd8hwbNrp46p/acYdvymgDCY7Ph0AuOM4E6sTg1EbESLJuWErktQCr7nUfUIVdtOsKS4Pt2nNONEu0t5qU6Er0UX6xwAYklh5mI34E24omYAj+R3TodUuxZLkNDYd6lorzAjUUpw8ikKsMGS5wEWnl/CNzwxgznSVNGHkdBqBWZwL1LiU5BzaPQ9wdBbzmDujZe1ppxx72fptA1u7Z4xtOTkogAOAl5+DvTue3jZ15oqXim0d4DyECqGNuy5QxbVTyjvkOLaoZIX7CihD9cmJyhnTqF8l9dLBDSm1ZXaObRbUrQ+FTUtUfLqrMMaKcQQRY7+pZFpWEgVAF+SucD9Aaa4tJkn7t1qx9gttxUqnJw7VSTEb2nZxbfYVDm3R4B4L5OrlIeQewlBmBQU1hpwALj6jhKs+PYDuyRVJV3joJC9LqiLd+NIujsjxUwtCTO6ailNOPPqlB9c9tW35wmkHdG3HTVHUKLZPBst1fWtfz+tzQjJyCed7tLSmoVXtNY4tYQECIfDUi1n8888b8dP7C6iSqNsVqSe5qZx/puRGVE8QgAeVV6m9XG6qWVoqWqrlxAF1wqqSQlnSrSgHCXLTW0lMcJqZrwYNsQAt6YXEO3EAreiMSUkg3fOQyjAXAsTcD6mQci67SVFEHdwQ8ZPIq2nSFRGFJysFVPXroYQgqIXwvQAXnz4KcIEb7mjE8+tzqFjuGRL9Vx9VQqUkp4AQHHNntOGYZd23L1+5/Ftbt7xxoHA9MAkOAF5+ATa89MgAzc7/eD6feSSTEfA8WbI42UakBs+voQyBH/6qgPO/0obb729AlUXNV83iPFb9wDqSmyJSJh3rSHSJKIRFFdKpSgr3NumKCd4UaqKlPrFA7sauwDnXWNgec4dwJbyduxkvU6R3suRbiifUVUTNz6TleHLbNh7TEuUAit6HSppzD0HgwecEl5xexl3X9uJjHxhBA6kBobKTq1eAgAuMcILRgKAGD5lc7pHVR836+P2/vmdg9dKZONBxwBIcABYsPQdD+54cxaQPVId23gQEffA8AY/V4n7wHqvBz9YwEgI/WtuAr9/YjP4hX0ttauRRWk4cZQYkGtxEg9tSKqmZqTMGcB1JbgLZ5s8G/TA4uD7ejjWxlU9i7bdAnobfSFE096cpjFqyR+YzosFs5WaSlNgU41jT1Cgrf+jkCS5UJjvRvw2ymD4ihVMKZwoKHpkLqayyEFXNAiBNjEJZ12xFJhAUlIaY1BTiHz8zAEY5fnxXE0YqQnJOY1SFh34Akya14r9del51sEpHL734nIOB6sEBHAAaWuYDgj9Fa8esqfatzXusLC9B1NXM9wJs2kPxi3UF/OMPmtE/7FZ6NaiICXDDGE0jWuJTVSpPRGUfdD1vl45oT2V9RTPBt+vRE5evm4g170nq+nihbktoc1u8D46UJvbn4topiqaY7n2CBOitOBYVLx6dUNUO5BBxH3hNVyTICURMV4icCrGDiBAug6QIidqdEAjB424UQhAUCyH+7pODyHkCax9qwMYe6EhEcCDwkc3nce7py0srl81+itEDJhpvHeDUKyIMhr6WLZ4nRgZ//6Vy+ZlcW5OcpSwT4vGXffztjc146MU8KoHRD97l27CdN0oKqpSzWJGEEURFdWSgZOp2HZO6sSUwSzzbtISkAFfuq++ydx09+4dyHXSrEwjjw8KW5jCALXEZSewE2BF3JRPOhDBBr/q9xsnKEBaVAYg18UyQA4g5uRQS1PBiR0AmAlSBmkRFQikFjeztxUKAb35mEGcdX8FVN7bgyZfygM8BGqA5O4zVK2aXP/+Rk75TyPlfb21qOGiAH/zUAMC8Jv7mvp5vjmYu6t0zvBi+J72Tj73s46+vb8W9TzagUssAntk6JFonvraYRM4bQkhcHDNLImsJEVb4q+LcpnnQspBEja1c6W1aTGgK+K3IQRfwzqQwh2NcqbNz/MN19AB21GZsx46PM/I0DekdJz7A4NXQJeBg8XAkHD2uiTGOPLT2ObmdQsenhJwiDBnC0EMQWVbCwEMY+ghCH7WaD9+jOPuYMr79l31Ys3QUqAUgVYHTVk+tnvxHbd++894HrmptauDjunB1xkFLcDUKxaUVr1K5AqOPzN/W88bXf3Jvif7swRa88FoOyDKA+bDrcyvJTWPEKKohJbURDQgjEx6RtQRJy4gd/ioskGqQJ2ufmMfEcBqD1mjQGmh2RHfqZkfEC4FU8DsC3Npoue6dcykLiurxrl3yajKIJEUhkQtfSXuiuXzs1ldPDuM3KklOhCqiaefeyoau8vGg9hEQCELBCQcVPJbivELhBQFOOLKG67/ch9vuL2HtY928s3PO1auWdv3Tpm391beKz4OQMcmxbeOP0NGWW/Krh3f87s+veIKNlAiQp5F0zsDsKGwqj4piMAPEVq8cwLKWELi1BCPnjgJ9nRbcZiMn3bnZ3AersZReEnt/bGuP1qNudPKcxDgHiY6JOvtSe5/6jGqyyyKGxszfSs3fIvS+uMW60dQrPt4oA0159B1m0onx3qria4Y3wyj74eTVEjjvBXRrPwPgabm54Pp7qA6486JmvX4uQO8AxW/XXxzuGlx4VM4bfvkTH774LWPzLUtwACiJRcgVG18LMjM+++cfKvzzXfc9QHfsoxEdyUZAJ6CRl5AakprCqEuipLkCrFoSW3LLfSJBNdzqSPWksKtopkr16ED3HPoEpoQwC+FbO8Y1hIAuGeyKcYd/p1pIDAtKfA7TwgISJyXbiieBoZ/qY1QglvEbU/OJAS3JjXV5GZySIqAIudkakkLI6vggJMSOHRkUiu/nZ65Z+tnntix8bVpx56GA5qEB+IJ5x+D+p1+vPp9bc9NXL3240OK3XHfNzVUgmwOhHhglscKo4rIVeAEnGMpat6tMJcBtvWwKAguwwubRBo+Q+w3znwNul3OYRfDdccCPQ4eqWDEmxj4zo16aJUUS9MSgI7ApjTlJlIPHMivCpiME2nauqtQTKMuKokPqWoh4XahrHX2OGO/VOpfeJTDKZR4ooyCkikf/MBuv7mn6q7/7qzNuOi7/cphtWn0ooHloAA4AZ6yag/7+bWFLy8c3zV34/FDntN807ekdQc4nKDDtdUxwU+MeWxcD9cx2wpoMickRnSuWNmnAdo5VG2zgu0WOkEBwYiIcoKIp6u6WaFMgJUQfn2buU5hXtnOhVgjRfFxx7UhqxzxZ8fYIxHISCM29YwlN4goS5m9Wky6usSDUur4YKlZJXzOBkAh4nAIiBGgXzjzpgqETvZM3bd+5PZw57chDA0ocQoDL/9aEZ18ZXXvuycd8rmeAfOf/3PrbtvLAIJp8Gl8Mc5kGApcKmOCKJTpcWjFG8Uwg+XSotw/2JEhIb+v3EQvc5u82Iw/HLdVNgBoUBGnL+MxCS3diUwqrjop6Krjb1BMhEuuxdEckxQ2pDsgJQYT+HvNnKSlv/chop5o4ynKjdni0CtrUgab2c3tbWk/6IqX9a0dGWw8lJA8twIstRQDAzp7BWz71wRO8Bk986+e/eLCjr28ANU4Rmu5h2DfEfGPdS6Jul1xPVKFCUhrb24S13RqWCLbvi23rTjkmIa3rQXk/EDesJO520+KRoC/uJIhmh7JBWw4hxUHMipbRexvshunRMJ/o56o6SINYTQpAJd6nSIh4v4xYDDlBLaDI5jrQVjylJ9d2+l8LXruFsDn7g9gBj7dkB683ujqaQcLqzR87f82VF5yxuKeQBTzCpbudqnbZ+qXagks3vKOlw/BYQkvn+PK5pSuc3zKmax5Ilej1wBxzdfOJY/EsYtGu8QRcWTTZCi6pszSfgkJvcuNN1PGu08Zaxj/CjiSMv0pEmlBKvIrpRXWTJ8wycDI+hSLgFGFIEYQUYUhQrnioslU9jR1nXFmriZuZ33Y4oHh4AA4AxWIL1j287qYZXS1XTJ42tRfgug88UUCPPJVUm83cnu2puZXYD38mzkQgjsR1lMz4TsfgJAkKY30X9Hnh7IsX4xDc5huRusMEo+G4idc14NSx+nNES2MD9Aq0+rtI4umhnEFKWJsOo/SXGUKrQR1yIgEdbyOR8wfomNzeO1ptueLxRx++KZtrPtTwi8f+szbfwrjt1lvRueR9LxZbGrdPb/PP2te3L1uqMXg0JSkYWkKaADLBWS9JYTydGqDeU3tJTFt3fAyxKmERZcMmxPqMsnGTeB+Jj1fBW/pYc1vy6QEYqXTEmGQpTxfzqWafy6zbImNJ4v8A/d3KepUMOSCJ3+RGUia0apMImkkXRsqbmggeFdg3ACAzf2j69LbPTZ/c/5MFyz+aYGeHchxSDp42Vs3OcUobbhdAMGVy+Uc/vPPNXFsDtR+tsWdNKk0q8McUrPUe92nb0w61pLEhyt2brJxQms4ki/3o85DE942HlqhhWkjc9xYrMcyAKlpPEOHsM6kxiTi6kZgc2wqT32v8ApuLx3ZtAtVTB9F2QXSPnTg0wMzaF8knjJ+toKc6r9yYmfHfd/Z03DFUGnlLbvjxjMNGUdT4s0svwbw5O8KPfljcMbWz69ITV84seySIe+UwKiNoGdV1TNIcMGqk3hdSZ7uxL2H7hoVzQ3La5yPEPlHaMWmGcWIcP9Ywq1PF24x96n0af05wdhigss5DUs+HsWSnGHtbzNcd/h5y9ZJcm0c0pVQmCOjiclvbtEtvfabhjoc37A5POu1PcbjHYaUoavzb/70bxc4Pi+VL/ujVUmlkfT7nfWBXT78fhFG4CiWxkhXbcVFHaVRL9zGP5KQwi24qimIHZmmqER9PdU6mdFsn6Qkx6Y25pMTaRsZc1qEfFg0j8X9VFiSL0sCgQwa9cKMpEx7f+Hc4Fb9I2vXUfgdl4Uu7L0oZDWNlkoELAsY4KjUBlj9iNNcw/WOLFq28Y8WU3fy891/6dkDv7QE4APzHL+/AUatOwuWfu+OVZn/RZsrEGW/sHM1lPQKfSYmgWjNzQeqexwV4vC3lJiXBa4IbMWe2ubsGsAK1GUOiJwBJOQ8ZB7BTAG5Qn/i/Jfixy81JChjTwJz2fUSDF851Mc5ptTJPue5wrj8gg7FqAUO5ylCtUQhw7B6dOrC5b+an/vgzz9/+kbOzWHbMh98u2B1+Dm6Oyz79Eaxa9H2sfWLObV2TpvgXvr/0T6+88kr7G7v6UA0oqoHMxzM5IjWuZj3YizH2uUPTE5JCX0jiZppfnGap0VTElrbj9/A4f8RYKm5trlsJC8Tg3cpsGL8nkV38AC+Q+9/dn2g7KYE4nELIyQSCUplieJQCrA0d0+bt625ll8/q8m6rBUuxfPXbB27gbQY4ABx38ucBAEODAz/2fc+7+57J19x3/4Mdleo+PLqBYaTqIccQW1riCx5fTmibsQKeGU8xnkHscwKOZCIaqKbEM5XS+PMuF4ehmI6BqjoxVUo/tGJGiBF7YiVAxM4apXQaobFEt1q1TZLxN6VfmkQ0IOJzEHMiGf+dEgHGQngex0hZ4OUtWbS1FLF8+Yk9U2ce91XOaz8mrS2HFkjjHIddyaw3mppbUKnhB2eddsKVH/3gGT1/cT7Dcct3Y6As2zMLEMv8ByT9HabTQe1IU9qssR86kDBZpj2ence+K/mTX5myR2hJbP43UxKbiqQwDkprRgV1bKzDEMsSpR03sC9QggKZ0luX4zOVa1vJlZOMUo5CroT7nhnA2icb0TX7lJ55i46/sqGAHxSLEwNuYAIkuDlamhsQ1Eo3rTl2VbBv98h1k565r8goQSi0d1Nd6zDyUysTopKuMocwklzEuPDElvLmIIkVJOkJEEttRUESIHDMhK7FJ/U703Y4IFfJyCqMlQsCagRfqaeVdr6IKFgqPenYCiMc41rIvySQ1o5GRRWqCcQ51b81kvpCUEyZPB0fuuDMvkVHrvzK8Cj/UUvzwaebHYoxoQAHAM/Po1Qu3yIKJ/SOiv4jLjxHfPvue570vaxAlkl7ecglsEPEfUsBJG+OMB6dZg0RFULhUmNLOTW205iSJK0cmqakRBvC+MwYUt2yQxsxI4bg1CCHxmVauTY7U17JXGFIfru2ivnn7SeTBLYJdBo1MlDvlfcUQjWCkkHjnHNk/BDZlhNr555CrmiaunITZblfEpqdaHhNPMABIJ/L8fue3LD2839xXuaFFzaMdjaSG5568nkSVss0FBQjVXlTuQACrh+zVN0QGt1Iw/mRILjmIEnA25QjuS2W3jTJz9VOU3nV35Uuu53ogASoE/SCaKVRu+mFJanj7PqIMAvDID62u9CkIUYTMaMNeyzBuSy3DCHjSWo1gkIhzycVjxfZprl/2Thp/g9rw9urrGn5RMMKwDsE4ABw5ur5ePLZP1SXzZ18ix+WH8yh9MGg1PP3j/1+B3pGKChku4tKKIHEiIBHiJQwSkInHt/piqfub5mU3rYZT9ESwwxoHWMnKscOIzgNqMZQfoWBdOIA0QS4agkvVOUo05pi5l1CSW0Zua0SIEygqzlvmgpNOqKsIjq9TLdjJ4Ene2ZmKtjxZoiRYD7mdUz6n7nGuT8VXvf2/p7+anHy8omGUzwmTMlMG6tXLsKRC2eVSsN7Nzz00tHXXHzuzKtXr+oOG/IUWS/EYDXEvirHUEBQ4cRoC220sIbpMJIjBk0dk2NdJ4ezlMemlZEgGtjueZ0vFPVEaYqCLMxX2v8T9n+192lF1DyfTm6KCYfjXEq2oPFYiEymhkKuhFxmFCNlipBnUCjOCHcOz7766BNXXLN1+8CG5uKcUnHykomGkTXeNkfPgYz/9/Pb8eBPTxMLjvrIgz+99bZsW4Ed05QZ9I6atxubdlXRP5oHo0S696nj3IjOETtuDM8koTpBOE5ONryVzEo01onF1HTmuI6eaJ06Uh1weLhpnSHJiePOGuIsEf8/MzZGJ2+bTxXLM0n10kq0plKJ14nM+sXMdcbhexz5XBX7Bkfx83WNCMI56Jp1SuWooy+89uQTVv9Nc+f7xAcvvGCiYZM63jEUxR2zFl6C3r5BUCq+dsEfn0ZPO372mmrvzfR327Bm+OWKV4WHDKfIRlNUPcYlPdBdc02F1OTbSbe4phb1PH+x8pkAd9KCUs+aYg6Th5tmQEAn+ZrJvkLolDGtbEvrCUlIc5O2kLqPDpua2L4HEIBSDi5qGBwOMVSZGtz/4uzH/+GyC/mcBbMfr1XJ16qVQWSyhy/c9a2OcdyGd8b4xvfvBke2KUP6bhzse+Xi2x/qoX17CaY0Skmu7p8qpeCreHMGeEzE61LqEx2DHsXCsEham1KcqVgVq+QDsdz61JLaxAB60hIj15NS3fSouvb5tPBfu0QEYknMonXGImpBAcZEvM1jHIzKpccEPI/DYyEY43Ifk+UiAElxKOVoyI2ihhAbdy/ii+Yu+PeuyY2fHC3Xhlqnv70eyYMd7xqAA0A4+gpovjDp1Ve3XvbNHzx/ZH9v7fzXN7yGcpBBDTLOnFHZjMpnAhkG+AyyMKgCewRcFoNdv6c0oi4G4BVFMeueJGmJvJTWenR1zVgSxdMBJMGf4Pr1QR4nhxj1UxgVcR0UjwE0AranwG2APH55kn74XgjPC6NaKvJaVaoUQyPAlK5uFJpw586Rs14q84XfZWR47zHLZ080FMY93lUAV+OVDdvQ0tzY/ewLr35n/foN52/e/hzufa6E4aEsPMaQ9QRyTCDrRyD3IonOAI+lgNuQ1vGSEZuHEx1wNSbnNq6qC265sAGedpwpzV2Q20kbpuSOeDWTQPfidb2UUluC3PfCGNzZTADfC5D1BYQIsKevjA1vdGHZkmMxfebcO9smz/9itTqytaFp1kTf+gMe70qAA8CuPXvBmD935xtblrU09lx2/c82n/Too6+hf7QXu/ry6GwAGjMCWU9KcD+S5owSTVWYDXBJWYgD9hRwU+LwdQ1ai3q4V1noY+NddYCu9ASrJgx1QE5VHIhBTxK0BBZF8ZiAzzh8n8PzQmS8EIVcFS2NI9i2R6CxoROZxrnY0rdi3RHT2787a/asF4NasLHQeHhyJg/3eMcqmfsbUzsnAcBGIcRGAC8tmL1u6tmrFv1rpfT43L+/eT3bszMHlhVwLRN2bmedmJJYobRLsWmrjJkJRBL0Iv6ycQy3sCYxlkRElWLVhOHSGoJoHZC/h/OoIA9xvJiCgAsBqpRPTiCojgsQnCAIZcnjjbsENvWdFJ46d9XGYuPAp2YvPWWXADZkMu9aGQjgXQxwNSKJuGGgv3cDQXA2DcvTOqed+rObfvJY8/Zt2xv29Q2DEwowxI9zK/4bLiXQvJsaPFyCnsZS1OTcLr9WIy69sB+MCMMDI4zzxECHdiRKILsOLIIwqjBFDRu48nRyQUC4DHUgPEo/I7JJayhaQHILR2bPOHFwYGNwUUPLoh3w2dbcuxzY+sq8h4YQHAChfQNDLb9/edOxYcj/7YnnNgRPv/Ba2+jg3qZClkNE9jXfoxHPRkxHGCPwKIHnkYiyEFBmF9JMJg0bElz9jvj3OMGqKRTFriKl74ppMwdgTSaz6oBJT3wvshgxxJYURtR6GE1EitamEJM7moaa2xb2NrQu8giln8g0HPFEJt80wEPwxvx7BxbvnX9ijM1bdsD3Pbq3dzB38p98tfLbX3zry48+9tSfbd2yubbzzZGFgtdyQXXUqgrrMQqPAb6n1iXgFcAVXTHBB9gKoBoq+EkHPGkXZQLgIoqfiVtyS7nthu6q73JNhozJl8ek5cj3pVLNKIcKJKZUoLU5i2yGlkdrLa92d8/05y1cecuz93/hfx116veyfralLETAm5rH357v3TLekwA3x8vrt8DzPPLAg48iFD7LFxpuYLw0f8cbW0/YtWsPGxwuIQhD8KCGfM5HPsfg+xQeo1rJjEsv2BIVSOYzKmdLyGWXD+E4WEyprCQ85wDnIupaJlJjXdTdMiU7o5p2+R6Q8QUyHpcWkYwHShlA8yi2dYQzZ05/pL3INgwPj352ZBThgiVrEIaBaGqdNdG36LCO9zzA3dHb149sNlPct6/3m7/89f2ZV17dEuZy2RUAVo4M9SIMyshmKPLZDEhEUxSVMYcZsGTWWgGAMJQ9T4NAxM1XNb2wzYScA2EoUAs5wqhBJI31AKIlvsXlRZwvirjjXIhsRqC9WEDXlFYwRp6tlMvPNbR2s6NWnFptbW37H9Vata+xceKSDyZi/KcDuDt+8cvfghCcVKvWzhJh6aJarbwgrFWwe9dmjJYClCsVZFgIxgAuZHcK6UInks8TaX6U/FcCtxoAo2WgHDWDNL2eprNIXf1KBSiVA9TCEACBx0isIxBilk6WjVErlRoYJWgoZJDJZsEFw5JFc9HclEdTQ259x6T8zzK+f68QYt0Ri06e6Es8oeM/PcDV6OvrA4CzgyA4Ymiwnz/0wF2cZVpnF4ttXx3o24F8lmH9pt0YHBxER1FgpCQwXPKR8RlyWaCQE8hlBPJZgeESsH4bQLhALktlxzFI51HGi0ILICV+PgsAAV7bVsPwKEfGJ8hlKPJZhmyGwfcEegcqGCmFaG/x0N7WCpZtByUcc4+Yib6+vmu27+jZ/KFL/pROamujjLFNAO5paS1O9CV9R4x3vZnwUI1isQgA96j3+/bthe9nWvf27H58+1aGfJbUCi1zvpTxyZntrRyDwzU89PDvUauNIpOhaG4UKOQ4WhtKqOztw7OveZjVnkH31Aw4F+gb5Ghu8OBRiqYCR98gR8ApJrcKzJiyF8+sZxgcasGU9gwoI8jnfeSzFO1tjVh17BKUKhQdRQ+FHLlv49bh6zwm/EWLl6Br6tR1lUq1f9KkSRN9Cd+R478AXme0t08CgH4AdwHA1m070Qm86nuiszEv+PBoBU8/9zqGh6rwGEUmI0BQrs1fuOKqzO43z116pKjNas9j/kyGkWoNm3cwzOjw4PsUM6dUsHlngJFSFnO6BWZ0tmPFyia/Vu24e/3Lz1xFWd73fR+ZDEVjYyOWLFmCkHtobqC0kGN7Fi/G5qbWKRN9id4V478APs7RPbMLADZHr9Sx9411IIR8sndUtHRNCUVHax6TJlFkK1X0jnhob/NAGUV7ewl9pQBeJoemZiBbACZ3tJDGhu6BBfO691x03vET/XffM+P/A48Pzan11ZbrAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE4OjA0OjExKzAwOjAw59q80gAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxODowNDoxMSswMDowMJaHBG4AAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 156854000
{'hecke_orbit_code': 18014467262516302, 'n': 1, 'trace_an': 8}
-
id: 156854001
{'hecke_orbit_code': 18014467262516302, 'n': 2, 'trace_an': 0}
-
id: 156854002
{'hecke_orbit_code': 18014467262516302, 'n': 3, 'trace_an': 0}
-
id: 156854003
{'hecke_orbit_code': 18014467262516302, 'n': 4, 'trace_an': -8}
-
id: 156854004
{'hecke_orbit_code': 18014467262516302, 'n': 5, 'trace_an': 0}
-
id: 156854005
{'hecke_orbit_code': 18014467262516302, 'n': 6, 'trace_an': 0}
-
id: 156854006
{'hecke_orbit_code': 18014467262516302, 'n': 7, 'trace_an': 4}
-
id: 156854007
{'hecke_orbit_code': 18014467262516302, 'n': 8, 'trace_an': 0}
-
id: 156854008
{'hecke_orbit_code': 18014467262516302, 'n': 9, 'trace_an': 0}
-
id: 156854009
{'hecke_orbit_code': 18014467262516302, 'n': 10, 'trace_an': 0}
-
id: 156854010
{'hecke_orbit_code': 18014467262516302, 'n': 11, 'trace_an': 0}
-
id: 156854011
{'hecke_orbit_code': 18014467262516302, 'n': 12, 'trace_an': 0}
-
id: 156854012
{'hecke_orbit_code': 18014467262516302, 'n': 13, 'trace_an': 0}
-
id: 156854013
{'hecke_orbit_code': 18014467262516302, 'n': 14, 'trace_an': 0}
-
id: 156854014
{'hecke_orbit_code': 18014467262516302, 'n': 15, 'trace_an': 0}
-
id: 156854015
{'hecke_orbit_code': 18014467262516302, 'n': 16, 'trace_an': 8}
-
id: 156854016
{'hecke_orbit_code': 18014467262516302, 'n': 17, 'trace_an': 0}
-
id: 156854017
{'hecke_orbit_code': 18014467262516302, 'n': 18, 'trace_an': 0}
-
id: 156854018
{'hecke_orbit_code': 18014467262516302, 'n': 19, 'trace_an': 0}
-
id: 156854019
{'hecke_orbit_code': 18014467262516302, 'n': 20, 'trace_an': 0}
-
id: 156854020
{'hecke_orbit_code': 18014467262516302, 'n': 21, 'trace_an': 0}
-
id: 156854021
{'hecke_orbit_code': 18014467262516302, 'n': 22, 'trace_an': 0}
-
id: 156854022
{'hecke_orbit_code': 18014467262516302, 'n': 23, 'trace_an': 0}
-
id: 156854023
{'hecke_orbit_code': 18014467262516302, 'n': 24, 'trace_an': 0}
-
id: 156854024
{'hecke_orbit_code': 18014467262516302, 'n': 25, 'trace_an': 0}
-
id: 156854025
{'hecke_orbit_code': 18014467262516302, 'n': 26, 'trace_an': -8}
-
id: 156854026
{'hecke_orbit_code': 18014467262516302, 'n': 27, 'trace_an': 0}
-
id: 156854027
{'hecke_orbit_code': 18014467262516302, 'n': 28, 'trace_an': -4}
-
id: 156854028
{'hecke_orbit_code': 18014467262516302, 'n': 29, 'trace_an': 0}
-
id: 156854029
{'hecke_orbit_code': 18014467262516302, 'n': 30, 'trace_an': 0}
-
id: 156854030
{'hecke_orbit_code': 18014467262516302, 'n': 31, 'trace_an': 0}
-
id: 156854031
{'hecke_orbit_code': 18014467262516302, 'n': 32, 'trace_an': 0}
-
id: 156854032
{'hecke_orbit_code': 18014467262516302, 'n': 33, 'trace_an': 0}
-
id: 156854033
{'hecke_orbit_code': 18014467262516302, 'n': 34, 'trace_an': 0}
-
id: 156854034
{'hecke_orbit_code': 18014467262516302, 'n': 35, 'trace_an': 0}
-
id: 156854035
{'hecke_orbit_code': 18014467262516302, 'n': 36, 'trace_an': 0}
-
id: 156854036
{'hecke_orbit_code': 18014467262516302, 'n': 37, 'trace_an': 8}
-
id: 156854037
{'hecke_orbit_code': 18014467262516302, 'n': 38, 'trace_an': 8}
-
id: 156854038
{'hecke_orbit_code': 18014467262516302, 'n': 39, 'trace_an': 0}
-
id: 156854039
{'hecke_orbit_code': 18014467262516302, 'n': 40, 'trace_an': 0}
-
id: 156854040
{'hecke_orbit_code': 18014467262516302, 'n': 41, 'trace_an': -8}
-
id: 156854041
{'hecke_orbit_code': 18014467262516302, 'n': 42, 'trace_an': 0}
-
id: 156854042
{'hecke_orbit_code': 18014467262516302, 'n': 43, 'trace_an': 16}
-
id: 156854043
{'hecke_orbit_code': 18014467262516302, 'n': 44, 'trace_an': 0}
-
id: 156854044
{'hecke_orbit_code': 18014467262516302, 'n': 45, 'trace_an': 0}
-
id: 156854045
{'hecke_orbit_code': 18014467262516302, 'n': 46, 'trace_an': -8}
-
id: 156854046
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