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mf_newforms • Show schema
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{'Nk2': 5120, 'analytic_conductor': 10.220851458723889, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 40, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 4, 'char_parity': 1, 'char_values': [1280, 4, [511, 261, 257], [2, 2, 1]], 'cm_discs': [-4], 'conrey_index': 127, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [0, 1]], [7, [0, 1]], [13, [50, -10, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31526159497823488, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, -4], [1, 1, 40, 9, -1, 4, 0], [1, 1, 40, 11, 1, 4, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '1280.2.o.h', 'level': 1280, '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, 5], 'level_radical': 10, 'minimal_twist': '80.2.n.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 11, 'qexp_display': 'q+(-1+2i)q^{5}+3iq^{9}+(5+5i)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.1.d4', 'self_twist_discs': [-4], 'self_twist_type': 1, 'space_label': '1280.2.o', 'trace_display': [0, 0, -2, 0], 'trace_hash': 1271353204635497890, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.057', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.960', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.417', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 5120, 'analytic_conductor': 10.220851458723889, 'char_conductor': 40, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 4, 'char_parity': 1, 'char_values': [1280, 4, [511, 261, 257], [2, 2, 1]], 'conrey_index': 127, 'cusp_dim': 336, 'dim': 88, 'eis_dim': 96, 'eis_new_dim': 16, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 962106230016, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 12, 12, 12, 12], 'label': '1280.2.o', 'level': 1280, '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, 5], 'level_radical': 10, 'mf_dim': 432, 'mf_new_dim': 104, 'num_forms': 22, 'prim_orbit_index': 11, 'relative_dim': 44, 'sturm_bound': 384, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 376, 0, 0, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -544, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -408, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -568, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, 0, 0, -344, 0, 0, 0, 0, 0, 0, 0, -560, 0, 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: 46380595
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 383, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526159497823488, 'target_is_minimal': False, 'target_label': '1280.2.o.h.383.1', 'target_level': 1280, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46380596
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 383, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526159497823488, 'target_is_minimal': False, 'target_label': '1280.2.o.h.383.1', 'target_level': 1280, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46380597
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 127, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029759125193984, 'target_is_minimal': False, 'target_label': '1280.2.o.i.127.1', 'target_level': 1280, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46380598
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 383, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029759125193984, 'target_is_minimal': False, 'target_label': '1280.2.o.i.383.1', 'target_level': 1280, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46380599
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 383, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029759125193984, 'target_is_minimal': False, 'target_label': '1280.2.o.i.383.1', 'target_level': 1280, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46380600
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 63, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268863808, 'target_is_minimal': False, 'target_label': '320.2.n.d.63.1', 'target_level': 320, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46380601
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 63, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752080, 'target_is_minimal': True, 'target_label': '80.2.n.a.63.1', 'target_level': 80, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46380602
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 63, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752080, 'target_is_minimal': True, 'target_label': '80.2.n.a.63.1', 'target_level': 80, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46380603
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 63, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268863808, 'target_is_minimal': False, 'target_label': '320.2.n.d.63.1', 'target_level': 320, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46380604
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 127, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029759125193984, 'target_is_minimal': False, 'target_label': '1280.2.o.i.127.1', 'target_level': 1280, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46380605
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 127, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526159497823488, 'target_is_minimal': False, 'target_label': '1280.2.o.h.127.1', 'target_level': 1280, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46380606
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 127, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526159497823488, 'target_is_minimal': False, 'target_label': '1280.2.o.h.127.1', 'target_level': 1280, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 46380607
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 703, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1580581520080, 'target_is_minimal': False, 'target_label': '720.2.x.a.703.1', 'target_level': 720, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46380608
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 703, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1580581520080, 'target_is_minimal': False, 'target_label': '720.2.x.a.703.1', 'target_level': 720, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46380609
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 1407, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022491150976576, 'target_is_minimal': False, 'target_label': '1600.2.n.g.1407.1', 'target_level': 1600, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '80.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46380610
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 1407, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022491150976576, 'target_is_minimal': False, 'target_label': '1600.2.n.g.1407.1', 'target_level': 1600, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '80.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46380611
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 1343, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022491150976576, 'target_is_minimal': False, 'target_label': '1600.2.n.g.1343.1', 'target_level': 1600, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '80.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46380612
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 47, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752080, 'target_is_minimal': True, 'target_label': '80.2.n.a.47.1', 'target_level': 80, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '80.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46380613
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 1343, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022491150976576, 'target_is_minimal': False, 'target_label': '1600.2.n.g.1343.1', 'target_level': 1600, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '80.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 46380614
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 47, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752080, 'target_is_minimal': True, 'target_label': '80.2.n.a.47.1', 'target_level': 80, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '80.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 46380615
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 207, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752400, 'target_is_minimal': False, 'target_label': '400.2.n.a.207.1', 'target_level': 400, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '80.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 46380616
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 207, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752400, 'target_is_minimal': False, 'target_label': '400.2.n.a.207.1', 'target_level': 400, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '80.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 46380617
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 143, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752400, 'target_is_minimal': False, 'target_label': '400.2.n.a.143.1', 'target_level': 400, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '80.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 46380618
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 127, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268863808, 'target_is_minimal': False, 'target_label': '320.2.n.d.127.1', 'target_level': 320, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '80.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 46380619
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 143, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752400, 'target_is_minimal': False, 'target_label': '400.2.n.a.143.1', 'target_level': 400, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '80.69', 'twisting_conrey_index': 69, 'weight': 2}
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id: 46380620
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 127, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268863808, 'target_is_minimal': False, 'target_label': '320.2.n.d.127.1', 'target_level': 320, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '80.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 46380621
{'conductor': 240, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 3007, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008779836263952, 'target_is_minimal': False, 'target_label': '3600.2.x.c.3007.1', 'target_level': 3600, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '240.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 46380622
{'conductor': 240, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 2143, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008779836263952, 'target_is_minimal': False, 'target_label': '3600.2.x.c.2143.1', 'target_level': 3600, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '240.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 46380623
{'conductor': 240, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 127, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1580581520080, 'target_is_minimal': False, 'target_label': '720.2.x.a.127.1', 'target_level': 720, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '240.107', 'twisting_conrey_index': 107, 'weight': 2}
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id: 46380624
{'conductor': 240, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 2143, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008779836263952, 'target_is_minimal': False, 'target_label': '3600.2.x.c.2143.1', 'target_level': 3600, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '240.149', 'twisting_conrey_index': 149, 'weight': 2}
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id: 46380625
{'conductor': 240, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 127, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1580581520080, 'target_is_minimal': False, 'target_label': '720.2.x.a.127.1', 'target_level': 720, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '240.197', 'twisting_conrey_index': 197, 'weight': 2}
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id: 46380626
{'conductor': 240, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 383, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526159497823488, 'source_is_minimal': False, 'source_label': '1280.2.o.h.383.1', 'source_level': 1280, 'target_conrey_index': 3007, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008779836263952, 'target_is_minimal': False, 'target_label': '3600.2.x.c.3007.1', 'target_level': 3600, 'twist_class_label': '80.2.n.a.47.1', 'twist_class_level': 80, 'twisting_char_label': '240.203', 'twisting_conrey_index': 203, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1825450
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31526159497823488, 'p': 2}
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id: 1825451
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31526159497823488, 'p': 3}
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id: 1825452
{'charpoly_factorization': [[[5, 2, 1], 1]], 'hecke_orbit_code': 31526159497823488, 'p': 5}
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id: 1825453
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31526159497823488, 'p': 7}
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id: 1825454
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31526159497823488, 'p': 11}
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id: 1825455
{'charpoly_factorization': [[[50, -10, 1], 1]], 'hecke_orbit_code': 31526159497823488, 'p': 13}
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id: 1825456
{'charpoly_factorization': [[[50, 10, 1], 1]], 'hecke_orbit_code': 31526159497823488, 'p': 17}
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id: 1825457
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31526159497823488, 'p': 19}
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id: 1825458
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31526159497823488, 'p': 23}
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id: 1825459
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 31526159497823488, 'p': 29}
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id: 1825460
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31526159497823488, 'p': 31}
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id: 1825461
{'charpoly_factorization': [[[50, 10, 1], 1]], 'hecke_orbit_code': 31526159497823488, 'p': 37}
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id: 1825462
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 31526159497823488, 'p': 41}
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id: 1825463
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31526159497823488, 'p': 43}
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id: 1825464
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31526159497823488, 'p': 47}
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id: 1825465
{'charpoly_factorization': [[[50, -10, 1], 1]], 'hecke_orbit_code': 31526159497823488, 'p': 53}
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id: 1825466
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31526159497823488, 'p': 59}
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id: 1825467
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 31526159497823488, 'p': 61}
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id: 1825468
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31526159497823488, 'p': 67}
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id: 1825469
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31526159497823488, 'p': 71}
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id: 1825470
{'charpoly_factorization': [[[50, 10, 1], 1]], 'hecke_orbit_code': 31526159497823488, 'p': 73}
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id: 1825471
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31526159497823488, 'p': 79}
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id: 1825472
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31526159497823488, 'p': 83}
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id: 1825473
{'charpoly_factorization': [[[256, 0, 1], 1]], 'hecke_orbit_code': 31526159497823488, 'p': 89}
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id: 1825474
{'charpoly_factorization': [[[50, -10, 1], 1]], 'hecke_orbit_code': 31526159497823488, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 15, 'hecke_orbit': 8, 'label': '1280.2.o.h', 'level': 1280, 'portrait': 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5Gw1A5o9wWD2GO5J9gwYVhsGU6cV1Q8nw3TsGUuZP3MgHUzQzbMDNmy3rJtg+LKrR5VVefoiSZffc7nyQMxzx6PSFSHt97e4p2vsFTVDAeOT3L0jOb0hYRzKbgPLVhuunqen37vMltnJzhzYZILyxUWWx5LLclKJ6HdTegO4OCxRQ6eal/59IHzrzx68uyOY6fPf+GW131L+OAXP/ZiQ+JvdPsHzeBLyy3i2CIlv3j/k4de8VO/9pfyPbcdfcW/+ZbTen5pA0utJoutGostn8WWZrEFS62EpVbE4krCuRU4vCiYm13hZ79nkZftrnHy/DRnLtQ5s6A5v2g5txBzaj7hQidmcnrAbdd2efkV4MsqgQo4v1Th7ILm3JKgN4Q4NlR8Q72SMDURY4Dj52LaXdi+3qNeHWKtAOHT7Ru2bRiyuKLBOimy0oVhDBbLUitk8zqPTl8hlEWYIc2Kx7aNA1Z6guNnNInRzDQljYog8CCOBb2h5NyS5Oyi5fxyTBAMwIu55aour7haMNessrjc5OT5gDMLcH4h5vxSzOklOLxoeelVC/zc9yyzYbLJiXPTnFusMr/ss9CSLK0kLLcjltsJSx3DQkdysg0rS21+7d8O4ve+KXhITf9T41WvfkhY+1NWKoJK88WGykVv/2AZ/Pc++DFe+Yob+fEf/3c//5FP3P1vf//PvnLpc8dbOw6d6crbrumzc1NCYjTWKqx17I2VgAQEQli0sPgSzixWefSQ5NpdS1yxdUCtAp6W+J7C9zX1qqTmSXpdj/3HKnzpSZ/jF4a044j9J4esn1nibbctc+2lHV56RYtjCzELPUEtGHDkjKXVrnPNTsnKIGHvMUWjpnn+OFy2yTIIEwaJj9YRUw3YdzJA6QRPxmgP+kPJy67o0e9Jrr00od1POH6mwSUbFPVayMrQsm6yx3K3zV/cDU8fTXj26IDtmxa57vI2U9Mhb7mlw7e+yrJrQ4MkmuTo6QkOn/I4ec5w6kLEqQsJhy8ITqxEvGT3PD/7PR3WT05y8tw05xdrzK/4LLYky62EVidipZuw3LUsdQXne4rldsxNVyzwz775gqwosePcmVOX9HrJzbXJHdVqberLzz3xCX7rd//8xYbMmrd/kAz+kb/8BLe9bLv65J0v/B9HT5z7T8++cEydW4qYHyjO9izXbj/Pr/7IPNfvqnF+cYrFVo2lVoWllsdSW7PcgeVWwnI7ZqkTs9CCk8sCXR1w69VLfNurQi5ZV2el2+TCUpX5JZ+FlmCp5STCcsfQ7hvaQ0tvEDPTjNi23gCCwLOcuuAhZMD2dYpLNlk2retxfnnIMwcb3HiZpVZd5rlD0zTqIWHoMTNl6A/gym0D/vTuSS7fGjMcWmYnJFHSp1EJeP7YgKpX5/rdMc8eCTm/6LN5JuCSjbBtQ4hSEacWwPcsQli2r4+Zakg6/YBuz6Pd81hqK5ZWYLFlWGolLLQSzrVgcZCwbXOXb7tjgVuv0FS8JmcXmiwsV1hY0Sy1Bcstw0onYrmTsNK1LHbhXEdxfiXmZZef430/sshlm2sstiZYalXoDScI6juToLbh548tXvFz6xonkjte+80vNnRW3f5BAfzAgQNUKpXqmTOntj3z7AvvOXTk9H/de+Akg1jSG8BK3zHKmU7MS3ee41d+ZInrdla5sDzF4kqN5XaFpbbHcluz3IZWx7DSiVnuxCy1LedbgjNdC6LLO29v8ZaXGXZurBCGNZZbFVa6Pq2OYrkr6PQEg6EljC1JAkpaAg+qgWWyaVk3HaG9AYfPhuw5FGDiOm+6OUR7Kzyxd4IdG+Hzj8bcfk3AhVafilbEScT0FMSRh/ZiFhdr3HZDm88/3OCSjfD4wSEeNd74MkMs+uw5nHD0VAUtfdZPaabqgmog8H2BEhAbCCPLIIROz7LSNXR6hpWeYbFr6ScJ27f0eMvLW7zzFSGYBosrE1xYqjq93dYst2Clk9Dqxqyk4F7qwdm2Yr6d8NLd53nfj1zgqu1V5pcnWenUaHUDOj1NqyPQlS341Q3/efO2K/5yy9YtJ4aDQf+yy3a/2FDKb/9gAH70yCHm5ub8g4cOfd+hgwd/66mnnxELSx3Z6xu6A0NnYOn0YaUvudCXnO1EvOzSC/zyDy5yw6UVFlYmWVyps9wOWOn4LHc0Kx1Bq2NpdRNWOjGtrmG5a7nQEZxtGaYme7z+pR1uuSJm+3pFs+rR7lQIPAkowlhijMBY6A0AYZhqDDh42mJsyF2P1xn2qly62efWa3tEZoX7npzk+ss8Dp7r0lpu8vJre3z5iYD105a9xy3//B1t9h4LWD8t+dKTiluvVCz12hw5Oc31u0Pu29MnHta45SqfXVsH9OMuX3xCQSI4fErTrGm0gF5fYqwgMZYoBqRB+4ZW11JvRGzdOOQVV/Z4/Y0xM/UK55cmWFypstx2x2a5LWh1odWJaXVjWt2EVs+y1JOc6wgWOjE3Xz7Pz//gPNddUmF+ZYKVTo12N6Dd8+j0tAN5F0JTMbsvv9bu3Hnpj166a9cfzi/Mh/9QQP4PAuBxHMkw7L/t8a/eeelKO37fo48+4YUxhBH0+jG9QUJ3YOgOLJ2+oNUXXOhLzrRibrnyAr/4g/PcuMtnpT3B/HKDVrfCSsdnpatpdRStHnS6lnYvdu5A39DqWea7gvkuRMmQ6y7rs2E6oduzvPnlQ3ZsMMSJREtLGMG9z1Q4caHCxqmY5w5XwNS4YovihssNQaXHEwd7zC/UuXpHnebkMg8/63HTZRUWeyssLzfZsMHy6F7Fd72my2N7NVvWeSx0WywvTXPDlT0efi5hujrJ1Zd2udBq8egLk1R1nZdebtm9bQCyyzNHBeumI87PR9z3jMcgUkgJibHs2Bjy+peHdLqKTVOGGy6DMKyx1Kqx1ApY6Xq0e4pWV9LuQrvnnJJOL6HdM6z0LEt9yem2oNUfcuvueX7uB5Z56WXu4mh1qrR7AZ2eR6ev6fQUnb6kOxB0ewmDYcL1N7w0ihP1H771W952qF6rfsb3PfNiY+tFz2QOhz3iqP89Z0889quL5w9Mnz6zzERd0g8FUlisUdj8t50FKIRFSouUmscOrOenPqB5x61LfPtrlrhkc8i5xSaBX6Ua+NQCj3pV06lKGn2Pibp2F0w/Yf3Q0B9aOoOApfkKp05awthw+lxMEFhA4CuLloJeXyHwiHual+wQ7Npk2ba5xzDpcOdjin2HpnjDjQE3XLnMh+60+KLGjs09nn1YsXlSMdvsUVFVwsjjQgfqFc2W9YKn94XcsLvKq65f4I8+28f3GrzuZosX9PjKoyGff6TOC0er7NxUY8fGhLmpkEtmI67ZkaCUQSsLWGpBwNxkQBh5dHo+zx30XIlCX9EdSLp96A4s3Z777p1+QrdvafctK32Y7ynOL1tqEy1+7E3zfPOtQ67bWefsQpNWt0InB7eim/6b/aGgP3QEMIws997/qFdrTP/q1Mz6pde++uZ/0+70/qjZqL2o+HpRAR6GPUD8wOnjD//ikb1fng57XeqVAITE1UAIQIFwz4QAKVwnjZIWJRN8KXn24BxPHahz8MwF3vGKLq+4asBko8lSq0a9XaHZ9+n2tDs5A0l/oOkNNYOhZRAawsgSRZY4cfcw9rEGpBJ4WlDxBZMNwVQDNswatqzvMTvV4gtPwP1PeUgzwRtu9HjJFR0efCEiHDS59SWCVr/PhcU6t+w2zE72qOqAQayYb0coI3jJbk2tMeTJ/RVeecMEL7+uw5P7FdgJbrzK5/vfusSXnw750mN19p6osG1OsWG6ylSjxkQDqgF42qIkGAt7jwqSRBDFgjCGYYT7jsOE/tAwGBp6A0NvaOj2oT2E+a7kQgeGZsBrr1/iba9o8Z2vM8Rxk3MLddrdCp2+T7fv0e0rOn1FbyDoDRy4BwNDf5gwGDopeWb+LKcv3Dkdxsl/++a3vEp3Or0PNF5EkL9oAA+Hi0gRf//ZYw/84pnDX15nog7VqgciwabQRkgEAiEUQgikJAU3KGXRyuIpQ9UTLPSqfOTuLXzlqTa3X7PCe1+7wjWXdJmZrLG4UqPTD+j1vRTYyt1DwTCSRLEgjt1Sb9PlQkmL1lDxoVY1TDciNq/rEdPl4OmIv7ivwpGTdSaDKjddpbnl2jaPHmhx11eb3HxZhW0be/zp3QIlApqNiJXuEGNBCZhr9mh3fExc5W23X+Ajn6+x63yFt9zcI4wWuW/PDFFS4WVXreMtN7W5bGuLrzzZ49mTNZ456rNlWjLdFNQCge+5i1AKEMJiLBhjieL0Yo0sw8hdyIMQ+iF0BoLloWCpA0IPuP7yFd77+hVuvyphpllluV2j1anS6QV0Bx7dfrES9IaS/gB66YUzGCT0Q8NgaBlGYNGcX2jz4b/80row4hff/ubb7LnzS3+wYf30/zcA/pef/G+8+x/N0Dr3F9+bhOH7uvP7Z7XsUK0EiDDB6RFBRuAiZXMhJEpqpExQSqTLs8FTlkBbqlqwPFAstqb46L11Hnmuy63XrfDe161w/a4WM0mVOA7oDSp0+x79oSaMFFEsiRNJYgTGCpcFFZbAN9QqMYEf4ntDTi8O+ezjkkOnfI6emkKZgF0bfa68RHHjFW1UMM+eww02T9a4eidsmFtmqd3kms2S2Fi+8FjAsCeZrMe88WUDPnNfxIlzDS6/1OPsyoDnj3hsXT/FdZfM8+CzHR5+XjAMfa64ZJortgZcsaXD4bNLHDoNj+2rcfBInZoWBFpSDywVD6R0xGCtu1jjBMIYwkTQHQraA0E7gtDEGDvgpZe1ee/r29x+TcLG6YDBYILFVoVON6A78On1Nd2BojdQTo4MJP2h6xsdDBPn8Q8duPuhYRA6RydKFEfPtPjtP71n3cN7z79vatKPYeuH2sMTIhxiZyf+14V+/0sB/u9+4Td59zd/mT/+y1u/c9fcvt/YNXt8sqobJLUaw1A4XS0sQpCyNo6tpUApgVYqfTRoleBpga8NvmcJPEvNT5isCDpDj+X2FB+/v8ndzwxYP9XjPXe0uGLrgEG/y9WXWLZuUAwjjyQp0vwCi5QGTyccP285ek6w0jd86sEapxemsKHHVEWxaUazfYNm52a4elcbIxd4/2fqLC1NcPMVmqt3tfjKMwIRe6ybktRrMb3IR1oJVqK0T2sgOL8kuMrWuOPGDg89WWXTrM/NV0/zT966wB9+vsNj++t0Bx6LKw0u2VTl8o09Xra7w7e8ssOZpSU+9WDAYi/g+FmP06d9PCWQ0q16xloSA5GxJLFhaibi2qt6DIcRV2wd8q47hqybUEw3AqKowtn5Cr2+T2/oVrl+DuxMawsGQ9xKMEwYhIZhmDgJFNkU5DCIBL1I0I09jp9s8/zJe2a/9TXBr7yw/6//s7B8P3Zw//9KzP0vA/iTj/0qN9y0UfzkL73y3TY68PtXvOrZ2vSUT6ftYaxECZvqbFtobemkgpQSJSVaCbRKH7XA0wm+FvieoeJZqpGlFlomKglTVUEvlHTCOkdP1fnlP5sGEyPimBuv7XHJhpA4BmMN1rokjhQCqQTa89l/wmfvoQr1iqbhS2ZrgrkZybppzaY5xfaNCZdvXyERi/yPTzQ5fmKSm3d7XLEjoR93+OqegMmqx8yEZbIRUqs6KWSMpDVQLHUti62EVrfKbVev8PjeHvtOKCabFV521SQ/+LZFfvOT8OShOt2+ZaWjOb/UZMNsjXVTA7bPDPh37+7RrLV49ijsPynxPItSFiEMYN3/LMQx7NiQcOs1MUnkEcUB1tYYhB7nFnz6Q7eiDUKVy7d+KBgMBYPQsfYwdFnZ4dAwDA2DyKTv2Zy5+5GgHwk6kWA5FHSSBNMd8vSzp+ZOHP6DuYbYdcm23f/mgV//4O/af/VPfuR/H4D/+C/+Ob/wkZ3qticef+egd/JDv/mRk5Wnn5/hfT/W4vKt3RzQQhqkDNIA0kMpi5IKpVSqtyWedprT9xRDTzIMDUGYMIws1cgwjAxhaGnGMIwMwxjCWDCIJMMkIEoq7DtU55l9kFiLg7bTxp4EX7maj0YAV2+EZhUm6pKphmJmUrNuGrZtGLJxboXILvE/PjHB4SMT3LBTsXOLZNeWZe55Pub84gQ3XiKZahoqfp9ABlgliBOJsJY4CVnuVji/6HHDFVVesrvDg09WWD8lqFUa3LDb8GPvXOQ3Pml4/nSDla5hpaOYX9bMTtaZalaZak7QrEXM1SO23xASeDGejlEqQQoXTFjcRRVFigvzmihWRLEijBTDKH0MJcNIMgwlg1AyDIULUEPBMLQMQ3dch2FCGKaaPnLvD1LWHkTQiwSdULAcSbrDGDPs8ZJL2vzCP2/zit0P8dWDyfsfuO/X+re9ctcnvvt1v5fM7vjhb3yA/5df+QgT9Yqy8f53ffre9h/d8+hKJVaz3PnoEO93BT/3wy2u3NJByQSpDFJalPJQyrhHafGUxdMKT1u8UOJ7wp0ETzD0FWHkgB5FljBOnCsSl+4JxIklSQyJweltQw7uTAppCZ4HgRZUAkEtkNRriomaZGpCsG46ZvuGHo36Cp94KOS+PdOsLDS5dpti+0aPy7YOSMQKX3isRt3TzE0pGrUBew7DC0c012y19IaK6y6LuHaX5dzZhPlln/6gxptu6vDAs30OnlbUq5LAb3LNTsPPfe8i9z7f5zP3zrLYtmxfl7Dc0kw2FRN1j0bNo161VAJD4BsCnaCVk1oyba20FpewMoLYSOJEEMeCKJaEsSCKJMPIOS9hJAgjSxjCMEoII0NYIo5hVL47cPdTcLcjSSuC3jBCRl1u2LHMz/7QIm+6KWEwbPLSbfsrQ+p/cmZ/9R8jZz92ev8fJZsv/8ff2ACfqSdyMFj59tMnT//Ovv0nKhOTDVqRIVYBn35YE4aKd726w7tf22WqmdCRBi2TVGc7PexpjRdpAq0YeI5php4k9AVhJNzJiRRRDGEknYMQF7ZfnBiSxLkLiU2dktQtydwZJZ3s8bUg8CWVQFKvCpo1y2TDsH56yNxUh9iu8NEHJH/4+RnWVSpcu02wbaPHjk2G7RuX+cRXLUtLFa7YoJhqQqMWcf6Y5MJygH8JDCPB3IRkchIOHrUstw3nFipctqPCa27s8Nn7K8w0IPB9lJzkml2CH3rLBTx5gU8/OMULpyusb0esm4yZqCsaVUWtKqkGmsCHwAOtncMkBUhRAjnuwk4MJIkgTkiBDlFiCWOIosSRQmQIs8fIpLZj5sqkFmTsJEk3ErRjSScyhIOQiaDNt71pkXff0eX1N1ra3QaDsMJgGNAbnKwY1fx9oxsaUflzHM98YwL8/R/6JElivvfZ55//lWNHTzZn6oogNCghaMuAoVR84TGPrz5f5ezyIv/8W3pMNWOGQYV2r4JWPp728LSHHyaEnsYPnTQJI5dKd4wjHBOlrBTHECWQJM5JMMYFXMbYrIczBbcDuAtcBZ52AKkEUKsYGtWYyUbM3GSf2akVHtoX8id3Vdl/dJIdEx67NsCWDT5b1sPl29r04jaP7m1SVR5zU4rJBkw2hkxNxPi+Rgh3cfWHPkvtiJWepdWNubDss21Dg5dfcYG7Huux/3STWhDhKR8hJti1WfHdr1vgpZdf4E/uavDoc5MsdjXrmjGTtZhaRVKtKAJPEHgSz3OxilKk9qFDucX1sBpDDvQ4MenqllqLsSFOHLjjCMLYFvfIuTKD2JFKLxK0Y0EnhsEgxsR9ZqptfvRbl/jx7+hSC3xanSqDMGAYBgxCj/7Qp9U51Qzq3v+Y23CVf2DPJ/9w97Xv+MYD+NJSC6nUD/zuBz/+i4cOn57RUlDxXB20FKCFoC08+lKyMtT8yl967D28zNte2eWO6zusnw3ptKv0hwG+FxP4HsNQE/jO3ssAHkWSMHbLbhSnnnZCav2RMrfEWApwp0a7Y27QyiVMfM9S8Q3VSkyjEjPVHLJxts35Vo/f+pTHFx6fZmm5zqVzgm3rBJvX+WxZJ7hk0wDtr/CR+zRHTtbZvV4y1ZBM1BOkHHJ63hJoiRRgrSCMNNvXtXmMhHZPsdy2nF+qsntLhW+5o8XHvuJz7HyApyOE8DC2ThRLbrxkme3f0eYLT/b40y9M88SxOpunBLP1hHoloeILAk/gey5W0QoXOEuR12RY3EVmLM5pSRzgM5DHiZN0DuwQJq7WJcySR7GgH0MnlnRi6IeGpDdky2yHV92wzNtf2ePNNxm0qLG8UmEYuezqMHTnLww1oOi2Ts1MTG173+Uv+VY17Lc+EFT/fiZu/b0AfGFxBe3pf/LJz973i48+8fw6KSxaC2wa+EgsUgo8KehKSUdWaIWaj9xT4d5nO9xwRZvveF2Pt9zcYmYyoD8I6A99As8jjD3CSOeBUhwrokQSx5IoEcSxJEkEiRGF1jaCXJXYLCPqkkUqTRb5niHwE6pBTKM6ZHaySz/q85U9lr+4Z4JHn5tkyve4ZrNl47Rk/YzPpjnJlvUhOzcv8+yxPp96YI4JpZmbEDTrgmYtotVL+PxXKzR85w4ZC/2h5m23DvncI64mptU1XFjWbFnX4B2v6PLovg57D/rUgxglhQO5qTEIndb/7te02L3xAh+5t83DL0xyYrnKhqZgomKp+YaKNvgeaCVQkjRB5r53Vn5kUqlmTLHCxSnQHUFAlAiiJAV2IhjEgl4s6Ca4mCcMqVd7vOMNS3z769rcuDth/ZRHf1Cn3fUJI59h6BFG7pw5UlIkiTtH82dfWNeYuP8Xt+y8wwz6rQ9W/h5A/ncK8KXlFYaDHr4nv+fuex/873d+4SszrZUVAl+RmJL9J0DGoAX4EgIJHenR8xSn2gFnHqnxyJ4uH7u2w7te0+eNtw6YnvQJhwHD2B2wKNZEKdDjRBEnacImKQBubMrcpkgsZDakkq6OQ2uD7yUEfkQ1CGlU+yT0+fKTkj+7e5Lnjk4gooAdU5aNk5bZScXctM+GWcmmuYhtG9qcnO/wu5+pEw+rbNkimGxomnVo1iKEF9Lu15lsWIQQWAtRLJkOFLGJ6UQ+nV7Ccltxer7KVTsb/PA/WuF9fx5wfL6OVlF6YWjiuMIglGyYCbjx0jbX7uzy/PHT/MU9Ve56YpIzrSr1QNHwoe5ZfG3xFGjp0vlCjFbXGcAad9ElRpBYiBPh/PNEECYuSdRPBP0E+rEljmNMNGSm0udNr13hPa/tcPs1ERNVjzCqs9wKGEY+UaxTYCuiErgdEblzNFhuseep+9a1u/5/v+Sym+LzZ8/8caNZp1b/uwP63ynAB4M+tVrt7Q8+/Nhvfv7OLzfDYZuJuk6zaq6GORJF8KOlRSeumMlXhmoi6CmfXqy5MKzw6Ufq3Pdcj5d9qcu/+NYOV25rs25S0axpwsgnjD3iuAB5kgHcSIyVWOskgc0DyjTVr6wLYnVM4Md4KqTdj5hvR/z6JyocvTDFk3snscZnpipYN2uZnRDMNBUzkx7rZyQbZmI2z/WYmVzmC08Znnhhkmu3CKYakkZN0qwZ6tUQ4Q0JAo1W7u9bC0ki6Q81/UFEbASdvqHTtSy1Pc4tNrnl8i4vv2qFj3ypQnVJoWXkAGk1ceITRq7Hc3aywkt3dXnppV0ee9UZjs9L/uSuSS6s1Di1GOArSd0T+JkMk+7Y50SeSRUck8dWEBuIjGCYwCCG0FhIYogjpBqyaarPtdvd+bjpyoRmVRPHdVodB+w4BbZbYXUqGx24o0iOrLZJoum3eyy175mxQv3mrstuWO73+5/6u8Tk3xnAjx09xMYNG9QnP/GxS597fn9z0G9Tr+pcy6ksaZMIVGxdrUcCOhF4yuLHlkoiqClBXwl6OqCfeCyGVe56YoKHXuhTD4b84ze32DITs2NTn1uu7qCFaxETwskVl5V0tdLWlpgbi5AWJZxnbolBxjx/VPL4Ps1nH23w/IkGYVyjoRVzVct03TJVs84Hb2qmJzQzk4IN0zGb5vpsnFvmvueGvP+z69g4qZlrQrOuaNYFjVpMNRjy0AHFINR4dQcqawVhLKloxfW7+zyyZ9IVPvUTVtoeCysB5xem+OG3nOfUwiKPPD2HJwERYSAH0DCUdPuaqUaFyWadl+/u8apre3zHq+fZd9LwuUcrPLqvyoEjdWKhGQ4VvUih8tKHcuCZ5gSsITYWawyeSJjwQypEvPyGLpdsHLBlNuK9bxxS9SX1qkcY1mh1/HQl1SnhqNxrd3e56h6n0ieOnTmw0m5z//0PNQ8ePn/pt3zru9TBg4eSyy679B8OwPfufYFKbcJ/6snHvy+Oo1/pdJZp1DzCyFX+SUFa3urS8VoKVIyTCIlFx+BJgWcsQWKpKEEtEQwNDBKPfuLRSyp0Ogn//SNT2Dhi/dyAq7YNmJmIeddr+mxbFxJFItXbEkrMTao/pTQIKfj4vVWePVxHaM3xMzVOn69RqSomAsFk3dKsGJoVaFQFEzVFs6GYamhmJmF2Mmb9zIDN69okdoWPP9Ck361z2RZLs6Zo1CSNqqFRifG8kC88UmHYk3jrXLdoJlHqVcWbXtbn/qcM3aGk209o9zQrHc25xRpXXtLgXbe3efL5GseXGihpgCjVyx5RohhGLjHTHWhaXZ9GtUa9OuTKLQNuvnzAyQstjp1dQXsJzxzRfOyeGkK5wjXG5w9aAxiwlihM2L4+5j2v6TPbTLh8u2X9DCSxxzBsEMcey22POFJEiU7jIAfoDOCZFIlWGQAi/Rlp1aNgGGuWzi8xsy76laeeeqK365JL/vDA/r3h7suv/IcB8NOnT7G4sLD79OlTv/Xoo49LISWeVoDJdbfLTlq0hDhl89gIdOx0YpRYvMRpwEBbKomTNaGxhIlgaCTDRBIaj8jAfLfJPc8aLAl//agb2YA16T3L4qUWmcgqEiVSKeJII43G05JGAJfMWeqeoRYYagHUAkG9KmlUnRyaaEimmjAzETM3NWTTXIeEZX79ryo8uGcdu2Zgqpayd03SqMbUqiH1Wp9qtUagJEqmGhwnB6LIY9AX9IcJnaFyXUt941rm6j6nzk9w21VDfuzd5/nVj2lOrAQIYbA2wiSWKPYII8lg6MpYG31NveJTq1aoBTUqQUSjGnLjZSG+F3HTZTHvfW0PreI0CWQQwo6K8lTSGSMRQhJ4CvAZDDWLy9rV7SRZzJPeY1nEQGnhWgbuDNhZYiln7jzRRCpV3B9/5unHpe+p3+r3+w8Mh8Pn/i6w+f8a4B/7+CcYRqJ67PjBd548dkhoLbEIlHJpYoFM60qcYxHHFqksKgGVOG0YJ6AT1/sYZxF9kkb1WWRvRPHaCEIjia0kMZrIBCSp7VW+5VnK1JbUEjwFlaqloi0VlRB4EGio+JZqIKj6klpVUqtoB/C6YLJhmG7GzEwOWTfdZdO6Rd7/WcOf3rWerZOK2YahWVc0aop6DWrVhEY14uyi4fDZgIrvLmjIKv0Eg1BzyQbDhtkB7YFPf2BTFpesdDSNaoVGbZL3vvYCR86e4/c/tRktNRZDYhJiY4lizTBU9ENXFNWrSGoDTTXwqAYJrY6LMXwvcQkzL0FL1yghZZIWtrm7K11xJZwO5IKWSassjYtrkkRijCQ2RbwTJ6IU4GfPS4+xSN/PwE368yzRBFGcxkpInt2zR0TR4J2X7dpx+Etf/FT/9W98+4sL8Imm77fbiz954fz5nxyGQ6m1C+4ynSeFQUgH8MSktdyJIEnlSWxAJ86vTrLkg7Hpa5u/VzwvKuWclyvyQKmsuYE0mE19d2nQkrSmBTwl8LR1vrEWVAJJxZdUA0W1omhUJY2aZaKeMNmImW4OmZ3qsW39Io8eGPKRezcxVQlY3zA0a8KBuyqpVwz1SkyjNuTR/fDMvhqXztn0eBRp8/5QcdPllsu29XnsuUl6Q0t/kNDt6xTkHrVKlWplkm975RLPHLjAI3s3gFUYk7jAPbbEkc3rSfpDTW1gqVYUFd8Q+B6BnxBog9YJnnbZYaVMWsTmqjcRFkGh54rg3JUQm8yRMpn9WrJiM2AbB9riNTmws7sjMAfsJLUis+cuCScYDAZy/sL5/yMIan6lUvt5IHzRAJ5EPTkYDH7m03/95/+m3znvV3yde73KQCIEiZQO3NK6A6IsKk0qJMqiTfrcuAZak5A/T7KMm80ybxaTZuKyZIW1llLmfWTFzdyaLKGjZJqxVJSKtlz2L/AVlUBRDQS1qqBRtTRrCRP1mMnGkJmJPpvmlnlkf5+f+aP1nDg1yc5Zw2QNmlVFvaqoV6BeSahWInxvQGvgisU85eKP/LgZx3BR7NOsRvRiQy+ts+4NEjo9SauqqHUCKkGDHRsifu77WvyXD0m+unc9FoWxhiQxxElMGBvCSDEIFf1AUh0qKr4k8C2Brwi0wfOc36+VTet80lU1lSkirebMb2lq36YkYtNaliQFfGKKR0dGMn0UBcDT50nO2uSrs0vCFURmjGvWEAIOHj7lD+PgP7z3vd/ptdrd/zzRrP+t0/l/a4C3Wh06vfjnn3v6wX/VWT5RmZ5QLhuWJ1cgke6KVVIQqwzIFiMduJMU3CZ7boT7oilrm9yjBWus6yJPS0DLd8YAnsruNLB0EsXVlDtJpNNWNE9LAt8NAKoEbiRDNbDUK4ZGLaFZi5hohEw3+2yaW+GRfT3+yx/Osv/ENNunncPSqErqNenYu2qpVRJqlYgoCfnwlxpIpfCkRYnCJjQ2W8I9vvsNy3zxiZBOGNBLAd7tKzpdRSvQVPyAwGty+daY//r9i/z0Hwoefm49xkoS49LqUewKzYahYVhx5a5BIKh4gsB3mU1f2zxjq5VxMlEWZck5wIuUJ5CSCC6X4NyWNJDPAJxOHTB5co2U3clX3GQtYOcAd/VBJgO5cVnUF/Ydrdxz7wP/+q1vea3o9To/Vas1/tcCfHnxMNaYlx87/GTV2pBKoNL6D/cFM5CqFOjKCBIpSPL0cAbuTH5kV7HNs2tZ+5UDunB1FBmoswM/9rmK3s20zkRSFFOldeQO4BLPk65+wxdUAjfzpBYk1KsO3M16yGSzz9xki0f39fiZD07z/PFZtkwJZuolaVLR1CuufqVaiakGIZ435PTiFJ4SKGnyHtMsyEwSSRwrNk5Z4jiiHVXSThlDf5DQGUiqPUXF9/C9Cp6e4IotMf/1n8zzH/8AHnlhHYmRDuCJJYqTlMkNw8BQCSUDX+USzPPA06lzpaTLBcjU3RI4GSmKY1gmDaeP06QQIk8OmTQ5lGWLk6T0vikkZ1ICtjHF+c5xYAo8uJyJJYpjHnjo8eq2bdtfLuXffseJvxXATx38a6pBp3bohc/7Db+FrUiixKBiQSwhlrb4kokgkelJVdlrx9SJJv+So8DOZEixdNlMjmTPL/LZpCiKqKQEKUUObiVl2iiRyROoeBD4hmrFUg2cfq5VI5q1kMl6n9mpFk8cHPDTH5hiz/E5Nk0q5uqGiaqgUZHUKopaVVCtuIvDpfpDHtkr6A58Kor0Ikvb8GwRaEaxpl5R3HJ1h0efb9KLnEzpDxN6fUUnUAS+wvf8VD9PcuVWwy/94AV+4vfg4b3riIwkMiZtli56MIe+JPCNY2+vqKPXKruTypRCxmXdVGuBPEsK2QzgKeCT3HlhzZXXlCRIGcjGjgMdEmNSOePqXw6dWOLX3/8p/73f/pba+//4c70f+p5v+vsH+Pz549Sa2yZP7v/I78bR4JVaRVR8HxnbEb2bL08q/fDpsuUYu7jKjRJrs3YJ0CYHdtEUTKq985MhXEGRkCm40yIjlQMcVFox6GnwPVwnkJ8WWAUJ1VReNKpDJhp9phptnj405Kc/MMUzx9axYVIzVzNMVKFeEdSrilpVUcvZO6ESxDRqA+57xmelVWFqqkiTZ4AxqTaNEsW6GcVrX9LlvseN66IJTQnkkoonqXgaT/toXUVKw5VbLb/4gxf4id+zPLx/HZHRRGkFoCt7dUweRDKvLvS1ROu0CEsKlM6ODfnnyy7CTKqIov07TwiN303p0ZjSY77yjoK7XNmZjL/O62AsYQL9QYLQ/VcePHj0D/71P33Xj7z29mMrl+3a8fcL8F77DIPe/E+cO3vy29tLLYTw0dpiMakkEMSyVHecOR+qFDSWdHomP5JchpCz90ggOc7cKdKzjFyuvWVWQVfo7qxiUCtcfYa2eJ5rLK74hoqfUK3E1CoR9cqQRm3A9ESLJw8M+cnfm+XpI+tZN+mxrpYwUbMpuFP2rkiqgWP/ShBTC0JiM6QTBggl8TIGzzW4SNkr9Ysjj7o/cOUCYYWpDOSDhJ7vGDzwpauJ19kGtJZrdlje9yPn+fe/Y3h433oioxkmgjAxKYsLKpEh8Cy+53pXdRp3aOVKhJWU6fFJu/Kzx1JhVn5hlmOdMXDnJFQipjK487jKFs+LWCsDeuGWZe6KUoLW8iJHjhz99vsffOrwMIz+498rg4fdY3i1zdv3PPKBa6PBKZRSWCyarKdRkqQZy8JSygJHkYM7KdUkZ6PRbBZM2iIQK5iiyEra8pqZsXY5qMyW27RDR6XBlNZpZ1BahJRVD1a8JNXNEdXKkKlmj4l6h0f2xvzU+2d56sh65iY0c9WEiYqlkYK7WnF2YgbuapBQ8WOa9ZC9xyz3PlnHlxJPmTSIKzyKbPmOEkVsNHfcGHHpzi6HT1SZq1H0OQ4TeoOUhbVCay9PmAlhuXo7/NIPLfAff8/wwPNzDKKqS4bFllpawx14OJDrbPUyeW+rVEm+wikpSgAXJZCzSq8UILejAM8rFIuVd62VuWB3SuAuEWBSvK+U4sDhM3z+y49f+59/4oe2P7//1PGrL9/ydw/w02fOszKY3LFy4olf63ZW3m7iHkpprLXILKUjLNLIVKJYRuwkazFJJkfEqiUt84dt7mmPuSSr3JKUucfBLSxSFbUvSqbzU1Lm9rXB8wyBZwj8mIofUwlCapUh0xM9ljs97n8OfunPNvDsoVlmU3BPVi2NqqBeEblX7pwX49jbdwCvBkPCJGHQr1BR7iKTorT0k2lWkQaa2ml5PWQYWvqRKAHc4PsJvqfxPOmmCkgvBzgCrrtE8Es/ssx///OYh/fNcKbVZFCXTCaWRmyppBMHAs+m3n/mpNicvTOpkgE8/7zphy7jPFeI6UnJVtUC3KOS0lVzlsA+AvQCyJkdnMuV9L+zCFqdPotLy2//6sNfTV59+0v+9fyFs8fm1m38uwV4r3Ucz6/efO7MgXdeOHWUiaZCSusK6A1IK5xTMgZsU7aSlMgliQO1SJe2LGEzKkXKAM8OcVkVZifBjXugVPOSgjsfDuTKYj1t0jETSQ7uwE/BPd1lfrnPL364xqe+OsdCd4q5CclcJQV3xenuWhpYVgNJLbApgzvtXQlCIOTup32WI5+ZgJF6bMToCpUkrvmhGWhec0OPR/aHdKKAibxj3eAPXa26rx3AtXIN2UK6BA0Wrtgq+dV/0eZzj/T5+Q+u59TCFP1JzaQvaMSGWgxB5EYv+8oNNPKyQFOKPAjOHsuBevnCFCLvFcnPD4xJyDKwS/GTKYG/nMco8hujAWr2OwjQSrF//yGefnb9O5vN2oe73f6xv1MG7/a6BNXaZeeP3fcv5fBxJpsGz3ND5m3KSHYEzEWjQZJmwDJA51o7B3UmQWxhQ42zdlmWpAc6Y5Ys3Zy5ACoDuLKuHFdnvZ2uv9P3EnwvpuJHBH5Eo9pH6x73PZPwB59v8tkH1xGaJuuagtmKkyXOAsx8cpXeRcrcZfaO0HrIQy9M0gs1G2vZ5xln8CzIdqWkFU/x8iv7xMYBvB8J17Weda4PjQsOdTobJrX3RJpctwhmJwXf/uoujeAMH/x8n/tfmOFcVKVXkTRjS11bB3KdxiHKpnGJTUGeHUNR1I5LkBQsPr6jYC5VshEVjGvzcvdQUXueMXqyRnBajsUyopMCIhSf+cpz7Lz0sn/59jff/tRw0DkYVL6+N/51Ab44f4q/+vwn8fzpTVP6hVdtqZ6k4jVJjEito9GUrrIFcxtTliQFe4/IkezLkCYTRoBdsh7K9lU+HKg0rzBNpkiZjXYzac13Cm7lajECL8L3IypeSK02wPd7/Nldml/+43Ucnp/GCypsaAimg4RmYKkHUE877KuBy3ZW0oSQq19J0pXAyZOFdkI39PGVwpc2DzApfZXsws5qN8LYo+oN2DDZZ6XXoB+JdNyaixU8L0ltPpXanW71zL5/dvwnaoq3397lpqvm+aU/GfCnX5hjKa7TCzzqnqSpXQ1OoMFX5M0QOkv65HNoRJ4FFvm8GkpypSxWykBnBJhmhNXL2nzsXjIbzBo/x0JsFIcX2xw9/dSrTh1f3HRhceXgkaMn2HnJtv93ABfEvPMNb92xvPDs++ePv0DFB62GJEaVQFzUK9hSOtfaUYliTXExZMFjfhAQJUkixqRJ9llswSZp9k2WAS4tSrrREwVzJynIY3ztJEngDwm8PsfOx/z+5+p88oEZjpyfolnzmK7AVJDQCGyaes/ALVNwyzwpVEm1d+C7C6dZH/KJhzQHj1eppBO48nYxCpTnYxys0+FRrLliO7z1pg5/cOcM3Zqmmc4eCcI0blAGrWU6to4SyL0SpbpVYdus5Ke+q8e1l5zi9z47zZFzEyzFVXqepq4EtRTovrTuwkldpnz1E4XlK0S6KUzW1ykgK8sq1tTSSpuVTuS++WpLMe8isuVVPGPvIllU/I5rwkisx4c/eZxdW298/60vfeWbF5dbX1eqfE2Ah1EfT1foLd27pWIe2TVZmUcqhVIRiUlcdVkmQUZALfNxaIVLInJAZ79ny+xtRc4CBStktG1HdGAGbPeYjVJ24HauScbeCZ6OXeeOjgmCIb4e0klCfuujPh/83AZOL05iVJXpCcW0b5nwDbWUuWt5+l6mdSqpNEm98xzcvsteDqOQg6cCumHAVJC6OFnSKXMlsiysLdWkRJpmXXPJlhAVDOiEDfq+oBpZhhnAdZImapTzsWVWArxW8KqYm+jxw2/v8c47zvHBz7X5/Y/PsNCv09cVKlpR04KqsgSxdWwunVTRsihvyLKcq5icNeTKuMMCjMRSGXhLRJYBuAB3CdTGlQXE6c+GRhAheeFYh09+5bldiVBbvvkNtxyL4z5aV/92AD90dAE/mJibn69+9Mjee723vLRHFFeIYk2SaBIlczCXGdxYMwr4TKPbMWCnX6hgbIFd85PYkh1oc2CPyBOZVsmpxAFcJ2iV4HsRFT/E90Jag5CHnpX82V1NPv7ADIOkge/7zPiCSd9Q9y21wFLzC3BXAkkQSIJUmrjEUOpMpAD3PZf5PHrWcv8TNcLII6jbVQFmdivS2Y4MwkjheZrX3tThI1/usv9UnX7FjWYYehY/Bi8yeKFBKel8a+ls2Xy4D8XxTIwkNpJaoFk/2efff1uPK7cN+dO7Gjy+d4L5fp2B8vE8TUULqhKCbMBSZq9K6/IJghLIR2tWxouzyoyeEdS4I5a9LrS3KLS4LV4n1tUxRQaG1jW/xEmCnwxZnv+id+PlL/koLL8kGbbm/9YMfuVlM3Lv3gM3v//DD008/ESDq39uiSu2GTq9gDhJ0sGVCmXSFrH00aSAL+TIqCzJ7xmwU4lSZvCRwh/Xo+OYPE8pm7zc0+lui1aJA7hKcjmidUSrG/Hgc4I/urPJXU9OsNRqIKsVGlXFpGdp+oaaZ6n5lqpPytqOuauBpOIrKr6g4pNW6JkU3IbAc/pb6SEHTsHpVsUlVlJ9O5o4KepnXB+kA3lsJGGoWd8UXLa1z54TMb3IY5jO+PZDHPhUNlk3S9SAHOvMyZf31IaMElcf/p7X9nnjy5b5ylMdPvSFJo/vbbLYqdGSPl1f4yuBLwWBdI3gWrpd6pQoLlIl0rLfNRh8Vf3KOJOXCM1QCjytICFN8tiUtQ1EFiIriFKv3JoY+kN2X7LIT333Mr0LX554rl252atdcSdfY3jQ1wR4v3Ui2DjT/53XX/dEXfRW8H1XLO9rV+edSAdwa2Q6e6QAeBncI89NpkNLAC8dkBFeGJEmlnKBvpMlJtXcBiUTNxA/czNkxHwn5r4nNJ9/sMGn7p/gQruOqFTwGh5NDROe6+SpeqSyA6q+SO8yLTlNdbcvCDL2zgCuY3w/puKHWBtx95MBx89WmZ0WeDJr1RNFo2+J7cquU5Io+kOP7esFr72hxye/GtKNPPqRoOK5flU/nSxVrFIq96vdHHWK42qF60vNGhWM89urwZD3vLrP629a5K8f6PC5B2vc92yDC60afeHT9zXaU2jhRnp4UuIJm0oti0KUpOGofbgGmY+4YAVzizwATUqMHef3VJZYNxjVFbzEYEMwQ8Iw4bGD8NXnTtTf/c3md2amTl8J9P9WAL//kUfRYoWXXX2Ab3ptSF0BRqFViBAGZRXGpI2+JYDnTb9G5HtYZiAfOQngeifXqAkcCShLwBbCpHagQaQA1zrB1xGVSsRgmLD/NBw7o/iLL01w5+NNLizXwaugmx41JWl4loY2VD1L1YOK58Bd8dxMQldmKkt3kf7cpiA3Och9z7WnHT5j2HM0AM9Ll3lbStGLERSUgzBXLy2IEzfO+ZpLhly1pcu+0zX6FUEtFgSRZahIrT2TsnfmpmQWZKFVcp89tSKNUen0AY9B6FGtDvneNw152y0rfPGJLn/55RrHzlTYd7pGuBIQB5qB1kjlpvoqQKePGZPn0oUi+F91y92UAtSGkiyBXI4YCwnWTfrNRLuNXbWWjcFEICMOnVL8u/dNMDlzjje+Zs/kS655z3eeX7J/sH567ZnjFwX4kRPHRafb+5c/86u/Prt1psJ3vQ1eujNCeAmVisGEMVGoHUukm7GafFzDOLBlKaAUKagpPY7BO4vUc83nkhpOkph0l4eEIHCTVOMk4dwifOkezeFTVe59tMrp5SqHz9QhCFA1TUUr6tpS18a5CJ4bnF/x3Lg2B+LsLtO7SgFOqrlTcHsJgefY211YIUfnYe+xGp4ctQdziUJRD547CpmTYtK+xtjjqu19LlvX47kjMb3YoxEJhhr82M0EVCWASykQUo4wOYzbbyIPZrM+yijxGHo+zWrId79hyO3Xtjm93Obux3yOnAz44pM1zixWSPoeRmoiXyGkTLeWcV35kjTjCblsWQvkI4Em5Sx15rak7+agNmATdydxAA8NRAlCx1hpuHJ7xHe8dZnd6x6cDOQbf0wQfHA1ir4OwP/4ow8SRvG33/1At94PJ7j70SpX74x41U0hV+6M2DxpuHTHEN8KTCQxVqVsIUugliUpkgK7xOIZW49+MluK2AvWzqWISvCChCixHDkp2HNE8aVHazx31OeFo1XaQzcHD89HNT0CJagpqGlDteQDBzqr08jKZl1deJDKEt9X+L5MLwBbaG8vcZlFz+n8ih9hTcj5JcnQBmgt8aVFl2y2MQLPQZ6UHKck9cMFmrnpEKkGdCOPnhbO6YiKgjGtzEgGUopSFJsNO6KIibLWsmwwkpeofPxEb+izYSpk2/qIG3cO6Yd9/vHRFs8d8/nSIxX2HK1w5ESFKFYQKKxUICSJLGWD8iTFGlplRJxnPnD2aEqPY3eTQGTQWHbtGLJpOubKnRF33DTkmp0xl20NMck+Whc+hcXjYrc1Ad459wnmF7vqrvv2in/33iU+8BnL0/sCnj0U8MVHDBO+YduWmGuuCHnDTUNec30INsbzLNU6qc6WYARx5ICeBZIjDF6+5K0DNOn8Ek9bSPs5o9DSGzhGP3ZK8ud3BfQixdMvVDh0MmCh6zNMfNA+KA/VVPhSUFVQU5aKwo0zU2nhkXKs7XvCJT3K4PYkfipLAh8Cn9Q1cSlzTxt8L04zohHVSsiF5YQvPdyg1QmYmhDo1IvPir7ExZjNlAJCIxkOFbMzijfeMuCLj/c50arT96STKRq82OJFmWedeuwycXYh5VknMv8bxuqRkokkkfiJItGK2HNjH6LIc1aqF1H3I26/JublVw55x6sGHDgpeWavRz9U/OmXahw954GQ9PqaJFRZ+SZWZwAfs4zK6dsRgAPWIBKLMJk0MVTrCZ5nENbwmhuGvOGmIVdfHrJ9S8yEb5mdMAhtOXDU4/c/1WSmeVr4k9er/+sP7or/7fe/4W8G8CiBycnab739thPXnbqwwp/cNYHwNUZL5rsw37EcXbI8vMfw0S8lzE3HWGO5YXfIe143yHvt5iYM118TUq+4k4kVeQ5s9TkX+XCeVk/wzLOaxbakWpE8utfjMw9UGESKQaQ4e87HCE1kPYzwQGtEoNFS4itBRVoqKbADZQmUdTXgOvV8dcHcftaXmYNbpT2aImdv3zP4flagleTs7fsRSoXc85Tik19toHzt7LYR/X1xBs+88CTJHA/FYODxtlv7fOqhNn969wTduEI91eFepsOjLClj824hIWQOMPenZEnrl6s709EO2jG5pxWx1ug4cUBXCUq5QfpTlZhbL4+55fIIK4a869U9BpEb5/bpBwIe2+tTDQQLbcUzz/m0ezJVSYKLivJ85wnXGnj99RGzk4lrekgs73ldn+svi7AG5qYN05MWjUs0GSNJhhKVGIZDyacfCvDt4Lof+J76byHsmtP0VwH87HybqdlG84Mf+fDl9z80VM8emuTAqTrW84q0Fk7jDa3hfMtwfsUtMwdO1PjMPe5KtIllYspw83UhjaqrA14zPVm+1FPXYaWreHyPT7ulkFq6mShWO2YSGjcXWIPUSCnxpHBglpZAGnzpgOAr8FUxo8+BXBQND9o1AmSNx2VwO4ZPy2q9jMGT0j0m0BHWhpxe8AmHFYIJiZ+mvVValTeSxcw6eoCydZp3pxtFGHlMNRRbZ0N8MaAfB/RjQVW7IZhZDUmW0FKyXN4q87/l/kaWbDNF9tSYtPmkkEZxnKR5A5XOZY+J4gQVuVyCVglSxmyZNemKYbhy24DQ9pHa0GoJHt+jWem5StJxQb7KQkiLseoVw8uvi5iYMtjYrexV5Y6d++wKE0vC1KzIbkli2L0l4fd+/CwnFoy65porL3/J9f+4+S++e7kt5NTXBvj8/AIryyvv++u751/92XumiMUkJv+tsqDKrkaTLzuxNbSyJUgZ2iuWs/fUS19xLYCX9Vt6coTAZFsukNacClUEOVKmVlYG6jTtLEk3bs1849KjTjvpFenWe+Tgdm1dCj8Ft6/JS0wdg6csrg1+mh31vIggiDi5YPiTL9ZB+3hSFAFmLk/EKgYv+8PZkFAHNjdYJ4w83vvGPn99X58XzjfoJh612G1K66oAbdGJo7KcQDnYy0oXMykkSwVe2d3ktTBaK7zEWcBeCnQli6SZqxtPnwuTDg5K0MIibMJszfBNtxkQSSozAZHtn7HGOc9rjAQYRRJpsnkscSSJGDUp8hxJeRSfsNywC67e3mXA0Vd3WyffZ238z74ugz/28JfRSvhJ6xyTDY92oohKdb+QRb7ZmSoBfTyIUJbEK//uWvjO2C0D+GjwIqTMW9CUAE+4tHIgXLWgJ91rLUlrKtLu8ayQSFOag0K6M1vRVV8AXOayJfBt3tLm+6Y0OCfGS9nb1xFShhw/J5hvVxBaE0hG5Iksf63S6S5LhxHgpU5HGHvMNIds39Bn37kh/UQzSCBIBF5i8eJUh8fkzlKRQlcjnQpZbOcs3KypQJSkkUEnhkRJlM62L1dpsZrbVkbJ4i6kQaUgF9nfxk3JEtLmrlcG9MwBWwvgRXKv/FiYEmWDwpYu2OxiSIzLH5xZbDG/925frJHvWQXwdm8fWsGFfh+BYEJbotR8z3xLgxgppCmD3o7IkK8nS0i7ckqF9UIgKVLEbioVeMLiiRS0qQTInufvpWRflIKSN9j6Sjiwj4Bbukc/A3oWfKbgzrp/tMkliqedPvX9iJiIzz1U5fx8FW9C4ZdrOMoOCmOKtJy6LlVfZkmfwdBNsH3LK7o89OyAdlyhpzXV2BCm6XQli4KorOBMCEPROZQFmlnVZmYdpjNVLCTK/U1tBLES6ESmu9i5Wp44BXqRTDN5gk1KU0q8pc9lGdypzZvvFXOR818qtINRti4Dv5w7yVakxGabClzg2QPPpfMbvwbAf+dPvkS9Vrvtk1/6wk3HL3TxlERLCFLN5CaQihTo7o8lY2Z+9iG+3qSWXJBkyQIBKnsULrDIrDaVpozdfJNC42azDlU20DOVJ2Vg53NQFK4fcS2AZwFnprt1JktsqrdHa8l9L8L3Qs61DE8eqoL23QhoafP0fM7gjLJ4xlyFD1zuS5W5Jx5FHjdcOmRmsk9ruUYvVtQUeLH7LipxA5RUVAY4DuT5H5JjlZoi7ZtMa4eUITECzwgSJUmUIVGCOAV5uXgtK4eQGchLoM73N8WkICctac4y0UXSbqQYY6R+ZTWb53iy5ZiCkbomKQ0bpvt886uim3Zd+rbb/ul3vurB2a3FuLcRgCtCbGy+Kel519dMgh+k9dylQpj8NeV2pbRKrMTohtWKRKT2SdlMyq7yLCtWgMPmDD5ewqmz2oi0Bjwr9XTNxVmnipMlKu9eKYCdNd869k41tybX25kl6Bi7ALeXVydGCCI++0DAQ881kIHGl8LN384rCMvzWcp11MVJzevocxZ3gWZiFP2Bxy1X93nr7R1+/7MNwiSgm0gqiWUYk65c5ao/k8o5M3ZBXYzJwWhZdGCl4E6URCnjGF3KdLSEKZUil2uAbAHykWxzxuTZIl2SqWI1mZe1dVHDksZjZozB84rUYkS2SWIqjfr1rU74Tdbw4JoMfurUaZrN+hs//dmvfJeO59k4CcPYEplizIOxNi+UKQrbs4rATKKMrD6rRqqV525k4M4AIEugkBQ1D+XRBhlzuy1IstekDE7ehjXC4mk3jKdGwe3GKYwxd9qz6aftbZ7OGg7i0j0iJOIv726S2ACVZy/LAWbR15g5GyManLF2PSPddKgkCzY1Ao/3vKbHhz83ZMVE9JMK/UTgxeQsLqVFxiIvOnN24fj6KYvzVW4qMIJEp6MbVApybVHGyRU3Zs9VMLrsscxLkwuLslzdWZQx500pOdALqbIa4KNr+wjIcxItAuWssM9laBW9QYXOhQEbTfxdV133mnvnL5z9YtazWWLwhCSJLpUMdmF6VAPlTkMiSAQYYYshLxSp16zA/WKTpsZvQpSYvCRPcqCPlWfmWnxMc2agL8/2UEoUWjytuBsZdpMCWytROCm5Heg67l1jsk2ZuwgwdYm9Ay/kyUOSg2cqWOWhpMSXBj1ep1ES4OMuSnYvt/cVfrUDeRR77NoUcdXOLl89UCVSPv1YUJHgJRYdi1S+pV04carDkU4ujPxJUWJxUZJGxSiPbCakViafIalS6VeAO6sFsmmZQMbk5KuHKIEbkU3MWpu917qNVJaW9Hh+gaatkEk6fzyMNOfmB8h6f9eOfnjpcBB/cRWDP7X/LLVqhScPLnJhJcHX2mlb60okjQCZGvSmpJ1GGVt8zY+dM3eZyceBXgK3ymu+C9utkCzCdc+LAtwuyBR5t7jOwS1HAF4e/uO67cmBnWcrc+ZO8LVL7LiuoAhLxMfurrG4WEUE2vnu5YtwvAalIKcRizBrrC3XcefetHF728xOS9792g5PHmoyTCr0lE81cVo8K2dVkhTc2VphUk+8HA2Vssk5UGzpAivPsZEoU8x0z57LfFv1VIPLbL+jTJrIojlinMHHmlaKdN/qQrsRTNlRRh/pEksfQbBxps+lW04wVT1MpAf5f58D/Jd++1NIKei2OujYy3WTlKkxL0YbQdcafPn1+Dvz/wt5MvZYBnSZxUfGixWMLcsMrkSJxTO5IlF6FOC+TgcAednWgWmGU1u8PBVv0ufJyF0r17nzwnH46F0NhtJHSZVmL0cvxPEM5qplOT+BjOnwVIsnijjRBInm3W8Y8Ed39nj2SJVIefSkxE9M6h4JZGJLx8m69jJRXk9N+rdG9y0qM3liQOcWohttrdKSAJXYYlhnPpdF5Bd0PKbH3fksF8tRYvIM5F8bKyO63FIKNItGmsyR1jqhVhGI4V7mjx4bmROvAfYcOMM1l22s/eTP/vYlT+9p0e25fzRzNkz2gUpZuOwPXwza4ydUiPHnq7X3xSWKyIEzPg5Zlhg7CzKzqU1aZ5u8ptpbjYE7S997WWOycTND8haxrKczTu8Rygs5eFrTCX1QOpUndqw8dvzCHT0gowONxrzwtBunSPxo6p7g8s0Dnj0YkpiAvvGpJK5mW6caXAm3katLLGVsachTzzmTF0mUrMNd54NNRTH6WjrAq3R3CmmKCQHZdK0k6+7PDYAiuMwDz7HznaFlVcNElvtZgwVGtXhhI2ZFZQKIY8WZCxX65rJLbrj9R2vx4Md7urLDAfzEybMsLq28YXZ29icG/WfxlMz//dwBWCvRY4ukVNnyGQ8ox9mb0r8r5CgQCmAXfYyqxIpqZKhmBnKKGmlVAnX+PE3yKFIv3IHbAbgYCuSV5UmZvVXa1+mHLHUM//dfNVjsVxCB5+SJtCOrSjE452trzpFpAqZgJ2NknrqPY02zpvnRb+nwlSebLA59QqnpS4mf9lAWIx9SBi/X0wuTl9FaTApug0Uy6qyIlMFtHqRnYFdSpAzuJFGSuyjkMqXQ4UU7YSFTssCzsApHjk1plVsb4MXxGgd8QRgSkgHNyamf6C3veTCK+n+dM/j+fXupBAFnTp9AkKBUEXVnw15yQF+Mste6lQFdfj3GboUGFwXI5bhEGR1MkwNbCqQqxo+pEqi1lOhUkugc4JnmNnlQ6WmTg9vTWf3FKHt7KsL3Q/7ibo/nD1dBekgpCbLS2JK1me8Rn37Ji1YTltg8H5lQkimxkekmTx7X7Orx9tvb/NGdFYwO6EufQIo86aOkyLdodAAaZXJRZnI76jHnUkWBsm5VMFY4cGdTwgwk+fwUUQC89OjALdKMZiFPcmelTJgjgP+b30b1OUWNPYLhMOHUqXN0BwdIYrcxhAa4/jKfes0n7Gj2PJf+hyV2XXWFfV2rpGD9soPgSjrdlxsfKDPiGeeBpSjYPGfIrwdwWQBclWqodVqX4pFLEU8VbolXGg5UaG7H3p52U6uWW4ZP39NgoRVAJXVPShtsXUyikNWIjDPTWrZd3tMqMUnmpmimmop/9Ooen3powGI3IFSafiJTe1Kk7o0omrFlwZYZsPOCJQsmZ/OiN1JnzopKn6djr410o6+z414GuUh3zsulZCpPHH7KelyMyRUxCnBhEfZrwF0Ux2yEMK3NMRYngpPnfc52a+5qBXRneQ/1yZkdjzz64I89tu8wC13NZI10n/PsRK3NQhf7HLbkHpRlzjjQR+9ibYmSJU5GgD06+7vc4eKGuzMK7mxng4y5VYm5VzF4Nm6iGDmhlctcHj0mOHC8giFASJ035xbVg+X4QZRcjeLLl2tRcpCX3IFieLws2s0SDVZzxfaQXRsHLO6rYhPfsXjiZIouuTgFe5YLvbJ6IVnYuTZlc1us2EYWcyPLsY0y7qIxklR7Z+elIKMc3Eaks1QyTS7GpIoYw4PNX4wp3pH3RnCWHliXM3EEs2ku5EzrGfzm5h/bvvPVTz/89L5jet8JxWw72fDYPv+NX3ikw6aJWp5ZVPLiWlJ8vYttTG+PP+azQhgF+ag8ESVnQpSCzQLQjsFJRwGXffDyPd3SWpXBXQJ5ul+9l5aGZuyt0tdaRygV8bmvNji4UAW/kCdeybocuWBZPS5i/DY65qyUqSvvbpaV0YaanbMhb7mlx2Mv1MB4xInT4l6SZneTUalUMGfZkktBbu1IZjB/LtPnMl1VZHZ3xz5JVwwpUlY32Qprc2IqEj7l5ylLl9rb8raXMrgv4jq5N+1INhwBNi3PtcqiteSyjeeY2Ra+sT7T3pBMDI/p4UDQ6wtspJkJNJNVF4ApJUpTmUqA/lofYOznGXOt0t1joM5ejwdoGaDFGsDO2VyJUhNuCdzpfMJi2w5WA1sXA4LyEW/apCCPnTxREdVayFf3K/76njr9gQ81jZYCT4xKk/HPz/ixGwc4Y/p7zDIs++JRrJloaN5xx4A7H+rx6H4fW/foJwG+IL/QVP73Cx1cWktzkJdzFi74TC+wNP5KpNPjpsTaWVBv0uBSGlHS36IU6I7GUIXuLuKCTBlkQC+De+TpyLEbuzgESCMw0iUbW12fajTFelmh5gtiFNqTMUpETFZjts5AJRA59Y9+uPLfK/5qFoRejOHL/335i43LE7nG81yKiALUUpV2b0gvQl0CdwHyrGzWonUxQlmnmzBpNQp0L2drd1fKBZi+HxKFCXc+XOOFEzXwPIRUKajSuSGl4FLI0eNWXsXyY1Rm7aymZ2QEXrZtn8w98STRhKHmym0xb3pFl2eOVRnGPon06BuFnzD2WTIvnDEGd4927LOgsovNYJSbMWktWCmwyiX5Mj2er6gSpCnNMjTFqiHHAT4elzAG/ItkOlfZiaX/K4JYt03hMFIsrTSYXNZ4DUs4BP3A/V/E05rFpRYb5wKi2Bn9uZhfi7HFmk/X8LpXj99di7lHQZ0xdjnALHYgKKRJySrMGTsDeDE5NZcoKXM7xrY5U+v8sXjupcGlVhGBH/LcccEXH6rR6/tQ95AiqxykZA+ukcUsfc/y0cpqUTKfdXSQ/FjCp1SAFUYejUbIm24d8qn7BjxzJADtMzASP9XiyrgNdsvSQCTk8oBkLIOoCidHKwrpIh2bZ6tKFuQb68AuTZFoE6bspqTn3BTMPp7jWAXwMdBfjMHH3ysTp02rMbt9xQMP7UH7R7EmQTeDRTwtiKsxjZqm20+Ik9Vl3OMnaS2psqbvnX9wMXIFr8nisgT2subOQe70djmbqVRaYZhWFLp2rvS5Ls8HHwN3eveyKbRpgb9WsbvrCM+LiG3CZx+scv9zVahokK6h2SuV8I6Uxpbv5Rdr3EZmapOVs5I3IydW5JMKMqAPBx6vuqbHW27r8fzxCnHsYYWiLzReQv6ZRFKwePER1mby8hB7pTLmdmzuXotUCpTdLAdyUw4yUwbPh3aOgXsk4BwBuaW8A4b4eqAeB2a62sRG0O0LzpxaYRC23RDWY/NDlIJO29Dtu2yXVmtPdx35d8XF3hOrGLt47l7IMsBLbV3lnQVGgD0iVcpp+tJdjYFble662AQ1A7RXAnXmnDjHxD0qFeF7EU8fk3z07gbgg/QQQuVdRCrdSLWcdS07QoWgE2MAY6Q4rWDukga3wu2IodLRD/k+8RprNe95TZ8vPTzg8cNukkBkFL1EpAVfKeiSDDilOpDi8gLc6oFiBOjZT1UKeiPT/XyyoDjT3jJlc+Ee83NoSgM7R+I4MQJ2xt4vE+OqzyrW4oniqGYZx0bNsM0Pia37zvrLj7mDGkjDXMria21LeNFU/NiHKZhblK7Q9D1KU1bHdHchVUSaLCispwzg+Zy8MsjT1rRisym3s0MxAL8A9whrlx6zxtpMqigV43kxURJz76NV9hyqgueBdMGlL2xpcmw5sBKrYhex+oiVbLoM6KLkajCqxdNWNqNSRyXRDEOPq3cNeNXNjsX7iWPxofAZGNCJKAK/JLML0+RGUo6YCik6bl0q6ZwJaQXK4rKfViCswAqQVhRSpRRUFuydnldTvvBLc93XyIO4o7QGmMfYtCSwRuqxlYBmzfCSbQmTDbeRlb5qs0IISRwbktjVSEtRvuaLGpS1r5+Uo1bp78wSErlUKaRJtlSNOiaje8SM1Z8I8r138t2Ls+bbkYaHYusSpcbAXRqKn7snKkHpEsBTieLriINnBR+6s8Ew8qDmpfKEvDVNlXcJzi/cYiUb0StrMEYZ6GWZUt4cwNi1tLimHki+5009Pnt/nf2n3cWXGEUvUa7KMEmTPy4bgkhE4VaUVhKbAb0E8Kxq1FonCa11waSV7hxZKRzATSlWypjclGOpNVa2EqDLHn2ZBEcTQGvjbqQtOH0zEWD7kmOnJ/B9z0muD//h/71+ejL4b/PnTl/h6Wz3rULzluVCmWFV6XkuH0YkxdheleM/y96X2Tjg9DEdD5wDd+yejUwoe9z5oy50t3NQRsFd3qunKKZKd3/QUd7M4OmQRIb80WdqfPiLkxAEoCoopakpS1XZdBwFeYOzV2qNKzKp5USUpJgMy0iAWsQShe2YXbRCkjb+Fr2QSlqENWzdEHJ6QfLEHp9YuMkDRiiEcKW0a8U9o+woyn0IxWtbIjhb1B4VmCp1czFadlDu7FrzXv5vSm5S3p1DqXyA8qjtclnD+KwXkW6sK+iHgpW2YN2Wl2zYtuvWL+uF+ROTynbePFlPGMYeUWSJE0OSdpsUjQ1fW6bkanMtC6j0vEgAlN2TsRqUMmuP1IHbEe0tczAUkkSVtLfKd3oobUSl7JgkySoFM/aO8HTEgTOSj3ylhpu/4tg779zP/r5gZLywLH3vcqApyi8ssBY4TLk2pJgraPPulXS4aaJIVKrFE823vbbHJ++tsfeUBzLECskg8dCk9SLZsU7Ss5dkiZ8MqiXpZG3aC+lmY+V75KTAkhakdbIl093Sur9hTeqPmzRAHVmdR9l8TWkyciGuxtXY4pd+XkYaN+LEjZtud3o0Z1fePIyPT+pA9akFA2YmDa2eoCuASCISixE2X6q+1i0Db+lhjDHK0fSYLCnrWDn6vAxw10WS6e/S8wzIWbVbpsFL4HYTWU366OxApQwq87tVjJIxKpUniYr5zIN19h4stLcU0nnfeQcNa55Awfjr1afIjjwfbUAe8cRLLKWNcLUpskjhh5HmykuHvO22Loc/EhAmCoQmEZq+EOgkte/IAt3MUSmrWJt/RpsymbUCZbNSUSdNrLWpFk/vwhYpfgFGOuCbTKaUfPAy2MtAXgX2MqjXDCpHj+HIThEJhJGlN0hYWolYXB4g9QC9deMyzWqLhXNDuoMglxzW4napy8YbX4zB8+BgdPkbtYPGv+DqRMDazQ2jrJ29zlg7A3vG3DnQVZnJC92tsiAy2+JEGrQshuYrleB5EUfOKn77E00G0iOboFV0zacrSLkGuqwn10wcrHGCsgRLniZ3B3hkpropa3AxUp+SGE2ceARJzD97Z5e/urfG4TMaVARGEwmPvhCopHA0ZDnYHAN55s1bQGcXXPqetC49b7Epa2eeuBlhc5v+HSMFwharx2ozIQV+CchlsI+Dey3HLm9uzwBe2lh2oZ1weikmVDH6oT2wuGg5sM9Qq7hfyoCWb+9nL3I5lcHN6BWapehXBRdpldtaDFgGthhj7SyRMgpuU0gUOcrgesTfTsE84neX7tKxuKdD2qHh9z/V5PSFAJROrUGZyhM74nvnz8vffYSlRhNdF2UiCi2atQSO7kyXDe6Ro1OwpCKJNZvnhvzg2zv80od8WpELCKyVDI1ytmGSfQ7rIrFcmBQgL/7f/USlKErnNxWPssCElLZgcFs6d1kZa87gFwk4S6u9yYBcxtDXAHiZJLJ6HikE1Yrmxisl11ybMDUdog8dn2BxMeLkOc2W9W6b54yBs3/8okkfURym/MPlz8XI0pOBexwM48ydAbtg7WJKa87eacF9AegSk2uTMrrJpYmTI6YkVTLGjvNHrSJ0EPHxzwa8/2NNhsZz8kSoXJ7kTcVjltiI7s4lmVjriK3JQqNWYRn0WcreYozJs5t5Ct+4rcArOuaH39XlwHGfD37GaXFQJEIyMC7glAk5gxcFWNnJsiVda0cCO2ULyWJtyuaiAJYjHVfqakcSP07G5HXpKR5MmeRGMCNG8VN+HDuEgoIUsuOYkWbdF6ybDLh0Y43pmTp69zbFQk0zbGmELK7h4ioav5zGQV76gOOAHgsiLtqaJkvL6IhEsaUgM92iu7xloCq7DqYkVTIwl5hcFtWBue7OH92swaVl+Kuv1FgeZuB2APek095ajMqTkVUns8sucoxGGNuOnpwsiB+p6hvfetGM1YlLiTIKYzRxopnwE975uh6ffLDGYkeBjMAoIpweH68uHL3kLs7kLg9UJIWy+pQs2LQpi+eATn3yXAmMnG/3plNJqZSB4oJbA0sXgd/oMS1dq8bCmQXJ/hOaqbaHnp5ISEJDrSKz2HnkX1u1PJQDp7ErLctY5R9Urgb7qoCs3PaUA6Y0IkLaEe1dWGmrg8psOE0B7mQkwMyCzGyfG11ib68W89l7Kjy6p4opaW/X1JDJk9F6k7w1a3wVE6MnZ5yBxoFVnjFT3ga73AxR3mw3sRJlC188Tjy0iXn5NSFvfVmPP/mcDyoEIbFCMDQaJYTbgiQLNEUB6nG5klmD1jq7NmN2VZatslQoJt2MlxHmtu6CtyUMmIzEMra22c8KS7NMkiNEUcJd9t9mv1tWGEkC/YGh1YkROkKfOGdZXrb0h5Zade0zMZ7EEYwCeVSarAZ1HjFnF4G0hVQZY2whxthbjAK7cFHS18qi0xFjUqaOibSpri5JkswxkSWJIp17EngRh09IPvTZBuc6vtvvWrpB70pQ7NgwFi+s0t1l33kNphm/jSR6Ssy+aqvFfNjNaM+mktmj2/5kfT3he9/a5cE9AYfPSxARoDBIBkKWNpFyoMpALUauwvKg1fT/82xmeh7KbC7c8wzMmWzJVmJrS6tGmsgz5ZUkj9Gyz1F6jhgDe/rflZI75eb8bL5hxRdsnBPMzQn0RN3DRh6NqkQqF42W059r+ZTjV1kZ0NnPyoBGUFoiR3V3tnTlBz6vry4xt8oAPwbyfEb2+PMk194Zi+tsHLCKUTJBp7ag70cME8Pv/kWT+5+sut42qZ32ltJ17Yhi/kr+WbOVpXwxr8HkZZyXsb46g1m4FsUe7+Xy2XIZrWs3M5mjkhhiqVGx5lU3hvzQe9r8zO/6DGPpMlBGEqeuijSi9NlsCqIySlxLGqXP516LUmyQdtdbsNKmAabIL4A86MwvejvmtKwOKMv4KbS5HYnlGHvM5FB5/THGEIaGlbZA+wq9a0vMSiOmt5xwYdkjSUpLwxhTjQN95L2xC6D8IceL3wsWLA/2WYO9S/vPy7XkibR5t7fbNtuUJEpp7G+mu9MZ13lwKWM8P+buxz0+eX+NYehBVefaO2fvPLBl5L6Wt19eVt39Iu1+Y4VNxVTVMrjBqqzKcLRWPDESaZxUyYAex5pqLeadr+pz1/19vvS4crYhEoQkEpp+toqmn7Ko5EvZWmYeiy19NlKLMAN1+jklqPT7Za9tKk0yoGfn1wqRMncp2JVrYyln5zKJZhKl3DAxrtlxNuHZhZjGmYRWmKA3rWsRDlucXBgQDf2x6r2LLMWUWfliILdrAHo1i4uy3i57y7LkWGT6N99P3b3OtXc+CbUAtlZjQFcFuHUKbt+LWOlaPvtgjf1nK06aCFcSKzLtLShNkLKrjkn+3ShOwuiS/7VvzgsXuSU3nsLOwb1qOFBRoyKlQpoEaTTRULN7Q8Rbb+/y6F6fVpimX43T4yGKbB8IF3WNt7QVa47FJXfyCzLtnFFpS1vB5plUSRM+Iq0hz4EuKI+QyFncFgw/CuQ1cDX+2qYrQ9ZWmdamB75ky/ohvThkuByj73zU4/Axzf1PG67cGtGse/h5Fd/azsfXA/WqiwJyhyRj96xIaYS9RRZUFsAuwJ354EVwKfPB7HaEsUcCyiyRU3ZRpOuUNyT88eeqvP8TDazQzvceYW8K7S3X+Nxjy22xhJaaHL4Ge49U8jEG6pzJV7ey5ZvuGoNJJEY6X1xJQ5R4SGX44Xf0OHTG4/2f1ERxAXKDYCgkymSDJFJwl1vbclCnugK3COTwF2lKP2Nz0symcP+mTVdnmwM9y/ymOVRR0t6iCHqz2KCQviljj6mGkYvCFMSiFUw24IbdltpchNUh+tz5gH7XZ6aWbirK6hNasG3BVLn8WENHFe/ZNS6OsTFjZalS8rgzZi9m4qXe95hjIjNwqzF5MrZnvUr3nnEaPMLzIw6dk3zy3jrdrgdVtZq985rv0uoiigRP/p1Z/XwkQPq6DF4CfUmylOeWGJPVe5SALjOgS4x0WlxKTRQlNOox77ijx50PVDl0Nk0quAHVJELgtjfIum9ScNsC7DYHdeqWkCZ/8gUnc1Ky1L1jb5WCtZAno0DPACrHVvn82OWyRYz8PIsVBOX8g7sAhXFN0U6Dw2KrzrpNDZoTVfTcVACxz3RTUw0UnifyYTlZsmUUuGtpoIuAmjK4balfscyAdkSeiHz2XeGe5ODOmFuUB7NnzokZ2W5DlmSJlKljkjK51jHDyHDXI3W+8lTVDQeXngP4GHtnRV6uerIUDGdaVoymnzOEi6+H7FFCHwV6uXLOpNnDfOi724rE6W5TyBQjSYREJRIjFNFQ87rrQ1738j4nP+8xNE6Hp5VQxGgGAqQpbVuVGcmi2H1a5ctQ5qikteKCHPhWiILsrTunVqSB5wjQi4yqyZM9xawcIXBlveNMXnZcKFwbIUvHLf15byCwVtMeVNDVGnrnjm0rkvjO+bn6N7u+RZG3gY1k68Y09bg+WhvY4zq8YOzxrGUB+hJj58DOgF6UjY46J6P6W+Xp96T0PEZK16kj/Zj7Hvf55T+cILG6cE6kq433BHlLWsHYpc9XWtHWYu8RcH8toI8le8ZT9mW5YsimXqXFWKJwVHJNLp03Lowmjg2+n/CT39dm/ynNfY9JjC9SyLovEBlFf0RQ2ZIsWUOT5154Sn7Z500DykyHi/QCMLlkFXmdSn6cMp98rAliZAJW6YJYy3ER1nnrbnioITEQx4LY+AjZvHNubuuKuvnGbd1wsHS4UeWHPBXje+URxMXMvXxMcZ42H0uji9L7WTCmVhdMOeejmKeXuyF5TUnZAiwlckoBZV5QdRFwl6WKHknouF7LU0uCX/7QBA8+VXeb8kjXjob00FJQlRBI0k2u7Ora7ZF72gCdD8kZHUaU1bxLNdYwXZJ/xWtRuujt6uOakUFpDqAYl3rln1mYnYkJtOXRZ31W+qXlOA0zsyniRcWhQ5AYAf7f5GotXQhj8qtct5jZo+XfHbdKi4GX5Z+J9LUdIwPSFc0Sx5bBMMFYj+On5r/3sSde2K+3rAsRQhBFMZ1OzDDSxImbTVf+uBeNZlkrCBjX3sUor3KiYdQeLG+LMSpN5BqaO9thYM27KgeWaSls+jzxEz70qQn++p46tqJAKIdOoRFSjvRbFv2NX6NjvsQ+jOeVS7gov20Z5cZxQAAjgebo/MI0yEznB9qUua01RY2KkEijSIRG9hPe+eo+LxzxeN8HNGEQl4IogTUeQ9Luqiy/njgT22ILUKYsakmzm+mQ+NQAcsFmxsipbHH2YGlBSM+tpRQoZhhJSnIkvTjHrelsFmExa7yYUmstxImlPzS0+hGe5y4Gfe2l80gJvb7l+GnN+cXUPEovnfGETjbnufzeeMuWXBVgliePZsv7qCQpA34E7BnDixTgJe09wuAyKTkpZXAnyFLtyZceC/jDz9cZJOkUfJFZg2nWUtgR7b1mar4M9FVSbdxZ+trsZ9PgLvOeV2U0satKaK0sZTZlyVkRyhVmybQ4SxoSowk8w/e9pcvDz/h86SlnF2beOFJgrGZoXDtaXkQybh2mSM3ZUwgUmTQpgTxreihp7ux3RCnRUw44RQ76Arz5z3Kc2VGCzVaa9CMa6+rBLyxbFofuGAgs+ktPuymcGFCxK7OEogiqHFSWr6ZRrXQxHW5HwDya3CnpcVlsZCRHluisucAUQB/R4WbUAx9nb5kUAaaO6A3h5/9ggiOnA6wudkse0d6ZRBoB9higWQPMOYTLZ2Ac5aMgH99AYDSjWS6+Kuvx1bUpRqYVh7LM4gqRGITQyNCwc3PEf/7+Fg//h4DOIP0yRuafK0EzyDIsWcrRFCC3EjApqC25w6LSgNJKig6wLABMScsleUZXvyKjWQSPI8RQwhOMgz07rKOg10qyYZ1l11SPoAImAf3wnstBKJKww6TXYtdWScVPXYqxD1E+X/kfW3UBlAbbyzLjFaPECjYvjd5dU6KYkg9e6ktM2Txn7hHXpLQ7b+p5ax0RJ/CbH2/w1L6K87xlxtyFc+KJUVmixChrizLYx2Vbxj6iGLq5Fl+vYvIx56RogKAoZirtbjdSbSgcg+dBp5EO5InEiPSepFLFGG64IuJHv7XFr/3FJGGSsjjkUWGCYmgyLZ7m2ksgzyWKKGU5hdug15bZXIIwBXPLdMpsnuUUjGQ5c4zlLqW4KKGW5V4WwArh+mDrVcW2jYqbX9JgdqZCFBn0v/gnb6deq/H8C89z/31fTAvHs+mydrTTgjWALkpRLqMXxCg4xmTKGKALwNsxmTK6P2PB3kmhy8tJnZF7GlhWEr78SMAHP96g1fecB5h63qRNus45KbKW5VLesg4vrM41ZhCOhGUify3GAT3G2qvwPgJ0SzkBVLB2OhU2kyTlJJBwNmIiFdIaV68SK5oVww+8q8cTzwfc9VUFtThl6vQTSkFsJAOymKIAucWVxpLbls7zTmNVV9abSRhTsHQmX/Jg+CJAH10RS65JFgvmqC4BHFe4VS5XbncM1enb2Hb5VfS6PfRk06daC5iZ9Fg3JahX3a6+WpWmgrLGGSotzZRAPa7Jx8E+orezoellWVKSJIVMKXbYdQBPRv1u6axAme+r7gJLKWOkjtl3TPPbH21yaNF3V27qd7tHWbB3yREaAfla8mREmoxNa1qtRopbJmvHalEY091FlWGpLHXcI7drFGJZk28qKzKpIixCamRk2TUd88/e3eHYOc3B0wKrywJLgPRIUpAzBvKUXlNgp9JFuHVApeyeBZoZMeYsXpIuawF9lCApBZmrB3OWXU0h3EQtYwxYCMOEdg+iRDOMFbriO6dssmHZNBdRqYj8A0Cp6zo9+KzxR8vMjSDf43IE4LIM9EKejDB3KlVUKkMKJi/pbmXS1+PJnALoSiVIGeMHMedagp//QJNP3l3DeqpIx6fSZC32VqUL8OvV44wndcqMPkI1pd8ZYe0xsBfHerwmpazDM0CXA9Cs88cxuBTZ8zT4TAwxBk86V6U1lPzEryrOrwgIynQrsOicyQt5kl5o2WPK2kqCNZl8ofDDRVFslQeZ0rklttTgItKS2/GAvYyrEQanZCemLzJYDsKEOApp9wxRAsPIon1f4PnBuUbNfHHntuobB/02xuq07488Ws/KOEfIqCT0KYOaUSlSSJS1QZ6DezygLLO5SMGdBZciY2uXqZSpa+Keu1qTEMNnHqrz5cdqaa1JZgnKlMEz9i52DS7PGyxrxFVlsSUtTvnEjDF3fmLGtUjpvVHnpJSqx4Enq9IrVxrK1E3Jt9UTAiHSxE/qrEgpMVal70mEdRWHgba84WUD3vaKHh++UxLGwqVtsw8vweIRW8Eg7Qy2oixTyprcjWy2KbMX14kryJKlqkSZ6vLsUZCC3pYclWyhIF8wiscywG26m7ax+faHYWSYmpxmEIovBr5/ziJR7/tvv8G//qGrV4IgXmlUOt8pzSmUVGOsNOpZjgRcGQvn2UZS0Z+BtEhQ5JWAWYVgqa5k9euyFWhHwF1m7nJHvE7BrXVMIg2fur/K//l7Exw9F6RNDEVCB6kRUhBIqEg3yF6nY+Cy2eJFMqcYDefsw6IYLZ9yK0BKSb6tihgd0u8GKMmxhBjFHJiRBNro8R3Jno6tLC6AE3kgt7o02Y6sKkIAxjLdTLjy0piTFxQHT2iX8BkRuiIFtnNAivEX478zfiWPX+Tpv7N60Vrd8EHZWRKjmd4RaeaSO4kpZqF0h4LTS4atO3fRmJz8tw88cfiR73zHK90ePRV/GaUChmKRWmWRSiBZbNUwRoOVJMKkQ2iK5lQx9r3GdXe+BGVsXpYoawWWYmwP9EymqMI1kSUpkoFblgLKzBL0vISjC5IPfqLO/sMBNFQuSVxix2nvTJrkfZaUQJMBCFZd2HmaXpROuRgNKMdjl2y1K8J11jjpAjeMnrGTm7aElbJ65fS9FG7vdils7o2LnNllikXjpl5Z541HQ8sVuyK+750dHtvjc2y+tFTlQaeTITGCgXDBJekIN2vKdSiFLs9rVEZVj0vXy1T02jUsQyjeB0SKtdUxYAHyxEJsYBAJzncli3FMJ+5zrjVkMBwC6SZU1YmXoJs17n4KntlzmHfc1sdTFfrZhUpa12tF6RTl19mqgLLww8tbaYxagjm4SxZh2QYUeXBpKNyUrHCqJEvy91L2VglLHcFvfLjJvU9ViirBLGOZgltJ0h2Ky2OQC4mlSidgLVtwLeCPW+B/01u5u36czUbqU0jdCmELmSJK4C9lOqVwg5uEccfaCJU2HCh3GQlD0jO8+voh/+K9bf7rH0yy3M+AnbKnESnINbEUuYOSgRzjgEwG+JQsss9Y2vMqnytuRTp3B5tPpC3fLUWAmYF+lbNaslSxbvMpK4Z81xtWeNMdMxBchTVdfjcDuAq2A5fe9ZWHn/zlqL/lJ46fbVPVPnEi8xqAjIlzBs+PRTnhsxbAR4NJsebrstYu2Dxn7QzgKkl/VvK70zR8xt4DafndTzT4wMcbdBIvzVaqEdfEze4rnJORoiqKgzuevRxh6jXBbBFCFi//Bkgf764vuyirajlKdmF541ZZGvmWMbeRAmGkO75prUaSxh5CGBKjILY0vIgfeleH84uK//HhJv1MepiMzRkBuU0HmGQ5IZsGmTqtwLMmHSuR/q4tyan8GjZO9lqRTd0qgbospdJzkGXUs/8+N/KEk5X1imGymXDdlnVcOh3+8swNV9/VOX0cSKshf/a//gZCVSNfRpdVlP5H0dDHU6rwfMfZqtSFkzkk4x05o0VVow0MeXCZJm/yuxjV3bIsS1L3JGdtVaTkZdpfKTzDnkM+v/CHE5y4EBSp+Ex3q7TXUggqGYPLTHcX2juzC4s+zHJR1FixVF48NTbDXGSTV1PtLcvDScf0thzd4aJ4LvJjXGR9R7PMIxlWWb4gy6urJdt1baTcIL1qKr5h3VTCg895nJ+XjpXH7aD0tRHFKp7PfhnL1o5O+isxwaocwGp9Ph6M29KT8Thd4BblRkWwZdZnZmKW/tD/8OFnH3zojW/4JsgYHODd3/pWfL/C3j0Pc/7U41BmItwltqbuzh5H9LdlRJ7kLgljsqRgbVF2TUq+dzmwlKKUpRxLxWsv4dkjHj/6S1PsORhgPVnIkpzBZckWtPkgn/GdGtayBteSKSOJnVIgVgDjbyhX7OjTUV983C50AZZzIpwkkbaQLEa4C8lY6VjRWoyV6e+4CVnCOG88wbrzGlquuzTit35ihR/6BcGeQ2lwIrMPI4rlJGNyXJmqX7YPs5a2VKJkq6ItSZg0y1882kKf524Ko/fsuKwV32RPO72Yqbmd3HbH7fT6g/znOcC3bJzE82v0FhU67KO1X8iTkgzJ8/8j7DAK7LIVOGILypIkyYFe8rxFibVFGeAJIvO+VQFsmSZ0tGfoWMnvfKLO03sDEpXJkVI6XrqpILktOALqUnlARlylYLO4j42FGAF7cfDHCO3iuB4DdhnhttynOfJ+FoyuUTNu3dxuY4pR1zbLbIo0hBUylZDS6XFjSTBoYbnhyiH/9B1dfvLXPDqxAA/yIhJDkZExikQIwqyNzQgnsEvaW+XMnE4pLnnjVhRZzEzuZxesKGnzvPIww95Y/RfC2YO9oWWxHdPqa4LaFJHprQZ4tSoJqt6hCHk4EmKXLyKs8PJzZEtAz5jZJXVKiRxs7nsXAC8DmhzQq4LM1NsWpUBTZdnJlL0zWSJFghIxSiRoL6Fn4IOfrPPRL9cZZmAeY26Es+jygqqLsPdIfcQ4Y5dW7NFkTkYEI0ve10f4KHmP+N+socMN5KOMy4xubQF4B26Zs7qwTosbaRDWVYm6u0wDUIWwliSx+MLy7tf12Htc88FPNOhGuAOW6vD80fE0iZFFIJmm6g2F9lbpASyAXTgpNvsuY2AXsjS+Oftz5UNakjnZkY1iy4aNFdav9w8bgkNWRPl/krXZ8V9/4VfZfsUdh8+vNNfNX+jdoW2baqXwV8s+6upeylEgl5sZiorA1WWwMit/VeUKwaIMdlyDZ+DOgkytY7oR/MGn6/zCByY4v+SXunOybGX2WqKFa2TwRxoZMs1d+N7FZx9L249NGxjfYmWtTQBE+b1xDT4mhUZ6YItqVoQcn9K6Rq0Ppf8u+3l20eW/k2nx0r9D+n5aEjDZTHjpVSHtnuD5w9olgUb0uB25yi3C2ZWUJVrpwhaF1h79mVh1gRc/FRf714p/0xYrYK1ieNNtm3nba3b8Ztg9/PuXXf6y1QwOcMXWGkpXPzev/Ld7Vl3vqQhEMY9jlJeyBlAHzLVZO5MuptDYZb0tiixlmbkLHZ6M2IMFuF1tt6xY/vpzNX7x95ucW/LAV2uw92jG0m3eOjrAfsTz5mLed+Fzj5zvkVMmvh5hf102L5+4slSBceYuDclMs53GCreNtijS+cIWnrgQGWuTPmZyxbE4RhOFlo1TCf/pB9ostiV/+tkGVFK6XcXk7maQRDh3xC9pcZuyuUpX+xGZkpbbZoEuWStc6YJECpcJFSOqZGTagLXgaY/T5/2nzy6t+1y70x85piMAf+Udr+GZ+//Ng/VN4nFtV66XWJY7VfpDnerx1fUlDtxlDTumt1OdXb4YcqCPJHdM+tqU5Mra4JYyQQWGQ6c0f/LZOmfnfed3rwK2ay4Vqeb2UkDrNDEx3qlTboReFeiMRT35NNQypv9mquSizDXy81LhVe4hX8wjRxTecwbsTIcbty2IFK5ZuZAmRbDpuuozf1wRh5aNswnv/aYeDz/jc/i0D0H6xYxdE+QWlxBywWcBcpMBPZUdmTbPg84M+Kbo9iG7jkwB8izpk58L6xI8F9qCoKaQx7uPP/Hrn37wzg/97MUBDvCpJ3eBkCzPL3L9jhW2z1YJIzdfVAoQquycGMrZyKwbfjSwNKtY210chtEgMwNyxuim9F45Y5mgfMPhM5r/47cmufuJitMdI153GeTO887GQOixVLgQF5EK5d/JO8DHvFrIKwkzAT5yYYz/vljbJcmuivJeOKtGumWJHkvO3g74Nve/5UWKsgRuz01hZJokkgiDO3+pVy6sJbHKzRnBYgaW1750wM/9aIuf/q0Jjpz1HUPAqEeeLXnpDNo4lSyuRt2tmBl7O63ttLmRxei3nO1tmldJGV6Vv38mw0p9ttxtwAAAMEJJREFUrLG1XH/VIm+5VXHjNTsw1nDnh0bxvArgd9z+Tfhah//l15Z56ImDfPfr68xNQuAbPM+4rS1y6VGMMxZjOrwM/IypR5M7ZuQCKJi9BGyZjL2OUZ7h2AXNf/mdCT56V41QpLtR5YxdBrlbArUo13mvsf32GnU2rAHOHMCl3xmpqPxalFz+4Vpery2W31XF4lnyJ3dURuvEyUA/ktksGiFkWixnRJH8cbZiCnhTsoBTyRIbqOiY97y+R2Lgp39zguMXUmeFMXBnS0wKJ2MFYcbOUmCwaFLAZmye/vf5yjOyVJbkkE2lX3rxSwmeEgQe7Ngo+fY3J9x8w0amtr81xMbAj39tgO/ePsuG2an/8M47rr7qycfbr15YSagG6a4JmhHgSjVu+Y1WABZOiRnxw0clSQnUmSwRBiFHs5auiCrh+LzHT/6PCT7+pRqhTLdeE2vdyxnL0vD6lHzWlCZQWoHGHJMRwI+y9Sra/lvcxnE9ktEcZ/TUm85qgzIGH22MoNDfIzq8DHKZ1nmXm3hV3lAcxxZPJ3zHm/poBT/1PyY5fsEnncM8ehEacMa7O/YGSYiz8UZ0uV3N5rk2l6MXgdvjxP0tkR4PgeOzakUyUdecmb+MC92b7plSl/8H7MKq4yrH39g4N81XvvyV9uXbJvZfuqWeVIOCoorsXanLvZRqL/dGlmu2i+bhom+ySM0nI+CWGbhLHriUMVIlnFlS/KffnODjd60B7lW2oDuInhzt0lmLvTMwl7OIMC5FxvzvNcnZjoL+fwLd4wHmuC9evJlKgFLtSSZ3DKND9LO5huVt+vI5hyabllVsjZJNrLVGuTJbq4hjiU7g3a/v83/+aIuNM5FrdrQJ2Lj0vHx3+5HbtCAqtDA0gtAIQgtRVihlBVFaMOW2Lc+ep69tuvdOto1L+rNsxRsMDScvBMmF5en9Dz5wT1vIua8P8OzEhmHvRzeurz3bqIHvZ3tMJmsMtRx7XNVaNpaNLGnr3OfOmFqU30tQMkodE0PiCX7/Uw0++oUaoSoDWo89lsAtVmcsx3X3qK4uALrWeIiy/72Wvi4GtIv/WXyPZjNXJXVGfe/iZ5mjIHINW2bwctdP0SThQG1Le/64WYciB3liVT6x1liFSSQ6sbznTT1+4O1ddJK4SfP/T3tfHm5XVZ/9rrX2cOZ77nxvbnJvRpIQkgBhSAgEMAyPKGqVim212n6tVapV22pr7Vf9tFrAz7nVaj9shdJWRUsZpIgohcggMwQSkhC4IclNcufhTHtYq3+svfZee+9zL0kIBOi3nufec/Z49tnnXb/9rvc3rBDknnxtAnQhBDwONDjQEIDLCVyO8M/jJIwK9IIZ5TxfWxZEvvdlUJXvA64HNFyOekPA49aTE5MzVyRSFeYG+PlveAOyluf39w+IfBbI2T6yGQ8Zy4dlemG9PyMBbprUroluybUoQBKPEFRhr5RpMqAKomIcMAjuuDeL79+RQ4Oqsls6oDXrjYiaRPPqaICGDvRIL47Nt0MSINcstc61dUCrHVJhsocDbm3HRGBhOhFC82QiTE6OB2JxjpjVDufbTAw+o1caloCTFjwAt7LmXILc5gKXX1jF5g01EJ8H1tuLQN70j4ceWZcDdQE0BIGjrLcAXEHgCQKviTV3fcD1CRwfaHhA3QXqjpywwfEIBgYGxPhU3T/7nPOa3l9jthu/eu2Z8Nz6973qMycwvjefy7qwDT+Mzw4DeDStmyZ4duS11I5JrAu9lMEr0ZUTg4MYwC1bMvjEN1qw7Tk7SBhuAuxwOaImLDWw1C14Ih0NicClELNxJ0uSt8Rc9wlQvyi4E27MND2JBleRa75JfIrKYI8lKIvYK4/xcQCchg4eLsOwQoVFVmwV4JzJIR+BjM/2gZMWu/jyR6fwcQb8ZEtOkmaG+BcJPJ3xdXLyFF9Ib6YPwBRSaTGIACcqMwjgXNWClL+TD4ByOXB1fALXF/C5wPx5bZX1Z5zx/VwuM+s9prNtaOuYJ+pTj3196dIFo/O7ptDXOYOWYhW5TAOW6QbT7wUVXZMljMOSDbNYdUVPlOUOBpwK3IzIIj7EAG66J4s//9sStj0fgDuldcepCaHBoBLazAyKfyMJ6jnoRjNVBek/vZHEmzm1bjHH+mTwlYpS0paTfD3msgdS3DucBkXn4zr3DqhLSFd0bh7M6MY5A3coVg64uOpDU3jzOVVpZjlvQk80667oS2DNeUBP6uEfCTg64ATUJKIxkrtXPYIph+JglWL3KMOuQxT9S5aP3nnf01/v7++b9VbPasEBYH7/clQr47hzK4fnjWPDiQKGkUG1ZsP3WVhKi2jyHtFkwpjlJryJVecRuDUeLmkJcNOWLP7i70p4avds4KaR5YZ06JghNUkX71Hhv8kUsDnBrmM2ISE2CR7U0H74PDzJH0NrrW2P4lKkVde14+gv0sSl0ydpzVWUIY97OQPXIgk+hAgqhZQgWUKqGVGUDBzgpEUuvvCHUxACuHVWS64iSpi2HEgwQsqWDqQ19wRgBtRSlmGWOrly/tQ5UGkAtlnFmaun0VJoxaqTlqFcKs95b+cEOMn0NnY/N/2B67es/eGjjz6Vf8+bJ/D+Sxpg1ITvs7TLPdC248COg5tAkwiDPxICXVIUGAQ/uTeDT36jhKeft5qDGwnrHeRFxrPj5YMxjBhE3HqnKElswJgAcxLsiCc+qB4QX3xxiKuS3Cl6ggi4YZBRKB3q9EPn6JGiEll5EdISKRNqYFeyoVJXAmE7/A5UauRSpmPweSQoEkdg9SIXV314ClwAt92b1Zw+wcUTEWGcBMtCSYlqZ0lbOJFAZwKwQGAREbvhjk9AaQV/cMlBvO/iGvLlhZVJ4n+gigWNowb4E8/UeLl15YPvfVt26snHDuT/c0sWS7tnsPFEAZ8TMOaDkCghOAJ25OEkVIbjhDEqhIfbSSgJ+mE8imAE/3l/Bh//WgnbnrNkfIluqUNA0xi4KYkcOrocmI7zTibwRoPNZMRgupwYiVl5dfdDwM/GWxLrEixE20BCc50MpY0POjVw652Ba6cI8jgJIqDHNHJV4zDg4tJUSisuXfrS2it/OwkMBOdKbaKA42PVQhdf/KMpCEFwx30Z+OF3VnKP+gZU+1NpQup3lXTJJyQsh8wJgR3EM1lUIEeBDWuAN64rgYkOdM27bGqgZdGD3N3PMUejc208aUkX+ntKI0Xbu+z3Llvrru3PQLgdGJnMwfdlT4+SDqJJVfUJV5kaQIYx3LpSEgwmg30EJfj5Qzb++MslbBsMwE2bDSZ13i2vI+7Q0WubJKLudOuN5pY8DvL0uhC7if309UfaROIvXK+tTDk4oWneUFJhvH5h5OLXFBWu8/C0usKFxsN5pI9Lvs6C7YqTE5w44OIrH5vEeafXwZK6OJ/tvVJfXO29B8G5lBUF4HB57SYB5hV9ZPwsHnyyHaPOue7YJL0MpG3EJ/PnvK9zApyZJvbtfQEnrVi077yzVu1efUIbTIOg4UqyxYI5J82g7rahanAzLwyKisWQUD8eY0K9IGQW4IzijgdtfPiLLdgxaCHMG9Pkvxi4EeXTUaJREySzc3TvZTPrPRtlSZddawpoHfjJHhDt8qLgbua+Dz2WSPJtpYfrGjkiYEMDLI8GnzxGXRTIEenhunOIU21QqgAddwgp+VA4BCf0u/jbP53E5jPqYL4CM08DOwR3EuRO8Cr/fM7R4BLkIAK2CdTqPoanCjDyK3cXWhbv27t3LyyLzXlv5wQ4ADDG8My2Xw0S4v3+ypWLkcs0YJseTFNOf22ZLizLgWU6AcjdsFRxWD5NgZ0EFp34ICTQwy0BbhDc+VAGH/1SC3a8YEE0HVAqUOueSxLL0JmtnnfaHa9bZhFfpyEyRVuQtuRx8DZJ65sD3iL1JljUzLhOQaJPFBHweYKmaFY8nuYGiJSKQuLATqonoSOIaOBOAl5adNEgOGGBi6/+8STOP6MO6gcyiG69ESgrSOjnQgG7Afh1+ec14PkeKr5A1aOouwRTMx76B5ag3mj8/l13/3KQkLnBDbwIBweA3nl9cJwqTDM7NDTo33PouQfPaS2MopSvw7ZqMA0HlHnB4AXwfRU7rn7YaPRNYvxbgFoCe8ZM3Peohc98u4gdgxaE1UzjTlCUwCujwmAtAhjQubdyy6drJMatdbLsRZqqhE3zZoZFNXW6onWOIPFpFnf+7GAPLXlwIqHx8Yhbxzm4HKASbZ8gRYxFVl8OJtVTIa6PS+6uBpgkmPcmGoDKTB0aBGTJ1LdYqGzAgCkBiMuxYsDF1/94Cp/+tsADj9nYM2oAVvC9uJC/Xyy6m0RfnAvA162LAYfaGHZs1BtAYX4LFi5efs+mc84aqlRqKBRyLx3gAGBZOUwP/9euckv+62LeonMmDm6FoBy/fJBhz0EThBjIZTguPrOBhd0uDEbAfTX0Ut8lkJxUipsN7Nhr4urvFnHzlgyGJ40EuOksQJcjb8W7Y4nDkKDVa5zowVUKlIejnqSSjAOnSJyFkJjKkjLryfXNgC20zQFIFc71VySWk0pJjKoQIIw4JNqAk0SdQ8WwkNDq0+B4WeQJVIbUqjEhpTy08OH10vRFUQdY3u/iG5+YxM33ZnD1/yti514TsDS5KDkaJwLwAZNyLOpzcOH6BnI2hwDBnoM2fvlEHo5gOPm0zTCypa//4NZf7br8zWceDnQPD+AAUGjtB1jrg88Pjdz4z/cMve2hJ3fjieczODjGAO4jazi46a4KfuONM/iti6qwDBm+GWtB8QtqA7v2mfjs3xfxozuyqPs0iOmORtXp93pdwYB3I164JxUtiLRKMtu6ePhrBNRwdRMffPQzEbyoiT6ClgJ1yjMZ7whxOTGw2hChKidI4PghKugvojA8OJBoHk+KqBNITV3T0DnC2c1kxxKycwSvnHNQT6C7zce7L6nBNoH/83dFPLvPkEU+1f3Smy9gMY7furiC33hjBWev9GEySYEOjDp4bOc0kF+NfOfCG3u7lj/YcMYO+14eNsCJsQg3/9fg4LJFb/jI1hf2sId3iUurTgOZPOD4PmpODT+7n8JgApdsbKCn1ZN0S7dQhICaBM/uM/CZbxXwo59lUYcObg3MKVoSmd1oUCmttpqsVe3WrGh9aI2TtV701wDIsRiUpIVvwtXD3YgG+MNFcmpXybFjMSazWHX1ZFezm8l9RUg7BNWsOgK+TiPrjUAOVNOkIHQSKYvOQ7oCSgNLHtEczinCenJAtJ3LhAnb5LjsghoggM98q4Dd+03AUHPFk/C7whNobfHw6xdVcOEZLmoTOUxVs3A9E7YBbFqbhVXqvjk377SPADv3ELLqsAH+ooNMvV167gCefuqRPR9857qt55/aje6ch/kFgvasCWZlAIPBc2REmOTJiCU4Uovg+YMGPv3NIm74aQ51QaVaMisd0QaUiKhJs2L1jCQ4OKLgqrTGLULQqopLzeRBHdwpWqJDMkm2j9Cah0DV3ieRrFfAgtAGktr2VHVaET9fXGHRZMTYIJOE7noFYhEMLtWxKgJRWmymDUxZGIEoQCA8ICs43nlhDZ+5YgYD3a6MnQ1Fe6W0BIWXTAF4FLVGFpMzJYxMlnFotICR6ko4xoVbxw88cUTgBo7Agqu2cnE3Viydf9XjT+5a7FbGL5+ZmsRYlaLe8LFybQXvfWsFva0cwhPQTZ/DCR553MS3bsjhh3dk4RASZfyGPUH/02hKKBEGOZVIljqWIE5y7+SgUefiybjvJA9PUZDkOp3DJ9rRsJUQiDGLrRQTDdyR8Q2ArUob6/Kh3CGcPx4Ia/wFpbw1dUVzBqnZGzQZUX5wlDChLLmq+UB1/g4RWn/O5UQF3BewDY7LL6wBHPjmDVk8us1Cg2s32gD2jzNce1MBBVrDkl5geLyA8akMSqUCyvll3y+0n3FVbWbwiO/rUTHHb1/7ExRKbbmtD915e3Vm7GzKPHR0HsJvXrgXvZ0NWJQHPxIFYUDVJ7ju5iz+6u/zmJhicBEpIc0jA5slMUTOHBVrEiYzaHVOVMk1qi2HZdgC7q1mb9bLsoVl2Eh0afr8lVR7r45XZSOYKuuglUtWZSRk6TYSlllW50rOlUkZws9WFQmYmkYmKMnGtHlHk6Wow6TvZJkOLVc2fGXxKr5Mq01Dw/2a14eMJYbTeDyRLNAURYbSoGCT/JkJXBBMzjD85TfzuP6WHCo+tDR6CoswdHRSvPM8hp58B0wji77e9i3v+LX1Fx86NFntW3LpEWP1xYXEJu2Wf78eV3/2w+4pa5a92+DPL1rYU8W5ax20l1xYQRF6QgBqAhWf4nv/kcWnvlXA2CQDD4saJqhJSuNWc8dLa06JZDOxJAZ9mr/ElH/hNoo4aBUvTwJMAZJG26PXwGWv1xAkehitXgcl2kYICWqakHC/WHUsfYyQfOqk1pHUPlSFEiTHCESb+lo7FjqeEA20EbxXdA0IxjMqUVQLxokoXfB0SZwPTfwKUcEogkJWYONaF6MzBNt2GHA99aUYfGpjxm/F0FAB9RkfxChh8wWX7hqeyF5zwombjgaqR05RVFuyeCGE4L+aHl+zYWjw7iwgZO4v5bI6EQF2DRm46a4M/uaaPCamAqRhlj9Cm/zJbUrvNoMeqQM3Cqp6EYcOooxtXTmJ/X5NjgvXJ7l4uBx/CCYfiWTWLfEWjzVpopIEeNJLB0djRYJoCgQlD0ZeThlboqgJIr6vYsmplqWPYKAaTE9IhYDgXJtNggYDSQ7BNP4OEtZAVOUr1DVABFN0CwHuE7SVOD73gRlkTODmu2w8e8gAwEHA5XQoAJhp4fTTTqn1zR/4FaVHNFQ8NgAnRgvGJ2qf6l96rmB8x8dcZ2fmvm0+HtpWQG+7i64OH//w4xxue8CW1ZHCKbl0M0HSgI4pKZEkaAQWXM+Ob+6O1x/rcbCHV6Dxb3U5lKSjA4PulXbZp25G/D0hTfeaE9wqNil1mBZNKLRtKWePvk5Rd016Vsm+KshP8nKhSYByWcmIirdLKTDg36BQ849IJxAFp5BTBobqCk3IhzwAN8JOyH2CtgLHFz40jU2nN/CdH+fQ3cHR0z6N+7d62LWviO6+1fW3vmnTV4sF+y8pyx41wI+Koqh21ZWfF5/7+Cn3eAC75QFnw5XXm+zfbm+B7zuoNARu+UUWU1UjKDWgI6cZkLWSD0o1IZK7WiRSTYwU79aTiZvwapIGvU5ZQsaUoCchFaD6eqLJkSQ8TnHzkEZAoyKKh8eW0wPg5NQjUUckaeqiURO9YzYLGCNaz26+XXsyae/TT6v4daud5FsR/1mVpxrR+/iDTvY40xZobRUYn2DYdIqDD14KrFrAMW9ej2Nkl1615eGRz11w9irvpWD0qC24ap/9V98pt/ZeuXM/d/rKg5899+3j9D2XunjqOQ+cBZnvkFnWcAAYQprj2BdWd01XTYIJPqGsdyL0FfEAqtnCXpMx4LoTrRmNiXPH+PvwoFmIRyxmJbnxMFqzaEIgTlkw2zaVCEEQWWSCsNQCElZcV1eE/CeTkamQ3ky1LZQbRSgjKktOQumQxhxD0bRq8Z+YmgQwBERDKoRwAeoJ7Nxt4YY7urB9RxZnrCjxt5/b99nWTvHlevUF5wsff2n4PHpyE7TP/9FvYW13tvbON5x044d/82TxrnM9DHQQPLIzj0k3D5gWIBjKRY4/uGwGJy524hFCSYse8nGEgVRMixKMh8Eqbj37YE39uql4k2agT3UC7UcS8WSGGOBnJd7yTdIzPVsGeLRD80AsXfsOi/4E+6hSEnpPiMWuxPTvuK4uk5K18/OItsTm4OQKzInQWkTro+z8eGF7Sgm27jbx9zfkMTEjp290HQs5w8SaZR52HcziX3+Wx4HaejHlbrzxqR19td7FH3yp8HzpFhwAli7pR8VdsLOnYF0xNb7mW//3BxP0ujtaIcwsCHXQUhjH5/7XFN71xipe2Mfw1euLuPbWIhDGyuhat2RNUdmHyFOpMuJTejciFUD1WAX8VKx3ApPN1oXQnKUDhPsEKJ/NUB+OAY9FCyrurA8wgfhAE9o+mlUmynpDAzZR4NY9o/rgU56OKZ6uPJqAHCyqfbma1l59AAnnuSeUB1xcprqFIQVBhwIAlhH43k9y+Or1RezdZ2Hrzgo+/TszyBh5OK6Fy85zMNUYw6TYyLPty65Yu2bxzqe2HzwW0Dw2AF+8ZAWE85gD88xrvnbDttwvn171lTIbQW+ZYqxh4VPvqeC3L/aQZSY6lrh4x+Yq7nosiz3DalptnYtLamICoRSo1/LWgRuVNU7HeScrVaWiBIluhdM8tpm3Uu8UcRCTNGk5AnoSxh+lNiANel09QWKdCjkM9w0ODvfXA7AUBVH1NEnkv4GctU363uW5qOY4isIAVD5nUIOc6CCXeZfMAJ7fz/DDO3N4bGceMEx877YcfGHhE5fbqFQLgHDwnota4Vm1P/mde9ddwx7Y7V+6ceWxgOaxATgAEOtkPLP7gP/+d7392VOWPDJ943/cXjwwPIXlOQPrFpZRrVjgZg2FUgULF/jo7/SwZ4hohTOVFY9CYM2QmojQikuQCz0CIBkRkBgMpQdW4TrEgQ9o4Ie2rH9PZbVjZDv19qibDsTIkkehs0FIYKSQqM9NqSnyPqnOoGJO4lZc9ixlvWOnJtAokQglRWm4aRDHIiRvBwI1RcggL0IDwFNQJrBnmGHwBRugNkg2D98wcf/2FjyyXcBmDGAlnNhzwfTSE05+9ueL9/tWbsmxguVL5+B6a2vJoiNbv/ktF53+h297ywVjC/vKOHmxgemZdoxNFlF3MvB9U2ZzK0jE4lC0BAaazqdsnmcZWe9mA8pkgFS6A0RojoOZxDsI0qBugvG0JZ4D9als+uRyYl1IP5CgIok4lth+sbBaRGUlEFh4Hu0Tq4CligUpPq7S3MJXnZ/LP59rlbJUDEuQQS8LD1qwTAvzCgTdNsODWzOo+a1Yuur8sWLn6X+463nnZkEKxxKSx86CA0BnewsA4NDI5HXnb9pglLLkqr27t3RSegiez+D7MsVppkpRdZmcjUHNwKDmriSyzLHi2gZtEg5LELqvUyXYoAM5bumRAGxSOktuawbSZGBVzNI3AfNRWfUkNWn2Gjp3tA0BjSAaDZG0Qs3nLvfVga6m1xEBXxHBVXNAK3hPQSkPOTvlsvyxEsGDMvWyCL+v7geDzzm4byBncuRzMs7WogQ25fA8Dg8F9C89f3jFqjP/zHO967o6eo4lHOW1HvMzAujqaEHG5P949sb1nzz91EXD5YITFPoR4JzjsW0mtu3JArYFMBuUMJhUhgtbVMQSh1MTRTUBtwJXXC+Ou4wV2HSBo+nAUt+W4OSInSc+w5q+CyGz9I45mq5qpAaXaCIdooml1l61esTBAdHgMnwPzcLHCgVFkYY8LNZJpfVOJSzTyIoH5d98n8HzDHieiXrNwvIFAmtW1UGZD+4Djg9M1gg6550wvGr1GZ+cnPL/0bRbXg4ovjwAB4BcvoiZQzdf09VhfKLc1jPGqExGnqn5eHRHFtVaAcTMwGAMWQbkqJBzxpNkpGAiibgJuFMxGtrAEkhQkpilj/i0rpYQjZ6oHWIUBWiC2wQ3P9wWkwGbr1fLcQBr+zQNGBfNKUoqUVlFFSZDZzUKooE8KRvq+/icwOcMvm/A9Uw4noVaw0YuY2LdMgdt2QYcn6PuCvT3941xo/iJb17382vK5dLLBcOXD+AA0LnwXahU3GszhYEP50oD05bRwK79FLc/XgbN51AwDbSaAkWDI8ukoNI8cVhEkXYpSx51AKmwiBRVAbRlaNK2tj1FXxLHKzOexvXsqD8csL+YJB7tRBIAjj4vbfFVcc7EKVJWXB1PQjUlVoVWX45ZcjqLJZfc2/UYHM9A3bFQb2QxPV3A+asFlsyvwq07WLW8f/rEZfM/LNzatX92xVteDuiF7Zhy8GYta/uc0NL3iZjnPTtUufYL/7LH3j/aivYcRdHkMKksN6Zq0UlGF48ridzvQagrklKgZrmRsMZNrLd8jQ8iw5ZQUVLbgRhtacrZmxwzV0vKhLHgKpIAMAJerVloFdgnL0hxnbgOHiou6kmgzp+4ag45OwRoYhIHSD2cUVUzX5V9g1acXi77nMLzGYQgYJTD8xi6ygIffccEbn3spHq5pef3CsXWH01Xq3MW7TkW7WUHeM+y38XExEG/pZS9d8gdmh5zbkA5s9/uyXNkTWmN6y4w4xA0fBIlXgdgDOkKjTJ2Uu74JOcmzS32rAJHYqCpb0zy91QcBtIf0AzwyZaKq9ICoyRgZSID0cAeDTCjfdVrrCOIxBg09TGB7AjZWZJeJk6EnK0tSIDnoUFQLlA5+pT3Q40qIcvuBRy8VrfQcA1QImBbFjyf46KzFtd7Blre/dtfH7jxd9/wnP/5j7/v5Ybfyw9wALByXQDBUE9ffvVpyxecs6iF/dPQ3sFcIUtBCcFMHZgYFZh05WStWSjdO+7kUYkGMSAnrHYqiEjd/AT/jq0HNHCSGHfX5cLmcmKTlrTmzfZPgG+2YMLkdh3EhGjHzALmCOyRlVWaN0K9XYJb7aNOxHlwv0R0b1UiC1TRZSrfyyJQHqgJOB7F2FQGMzULBBxZ24GZXVP1Sfv7zju38eM9Jz8mSPkjLzPqZHtFAJ6zCAD4n/vSvxw4tWvwh2PtA8ZIJ741cmiohVGKxQvqeHLvOH6+NYODk0UYlCEXUhKZyZKs7x2fXry5Tp0EdBLYs1n25L7yc+ImnQQfPlsMeXj4HJ1BpyZJkDa1xGohac2DE4SxKEHicfjZ6jzaR+jTQip6I58YKoZEOndCwyAUDZQHqI+lwZOAUo6M3cDIlIN7ngKe3mViYacJ0wTmz+ufdEn3B//uX5wf/s47ili46rdfAdTJ9pLCZY+0/eKnP8Ib3vQ+nL66Z2t3V/v++X09m/JWNbe4t4J3bZ5ES3Ycv3gwD2pZyDOBDBOwGGAGE6kZLAqTTVOUNNDUa7NMmWTYalRiWQtFDdPO5P5RGK0KoY0yfWKvKjxW32eWcFkAcy7rntXkd8Js3wfNvq9+PqI9vfSBhC7IkJC3C0GRrC0eHClpJOWwTA+lQgVXf9/GN/69D6Yr0NZWxoqVJ49m8j0fHZ0uXn/KChcnnf7uVxJyr4wF19tHrngvAGBiYvJaxkxj8Nl7r5w+eFsnIwQGISBCzpVpUgGTAaYBmCwaaKqWzBhXdzxpyee0oEjLSDpnD9cRaGY07eFE7Jgjm59HXUhofJObEpZYmWGdq8esuv7lYpk++vlE7HThYJOQ4FTBoDQg9lFkoJoZWYSeTkKFnLNeEBDiw+UGGg0KahVxyrqzhi/cvPHPXde9tqVcPlrIvKT2igNctXK5Bb43890TT1pPDrU0/oZP/6ATZBKUGsgzIGMAtglkDJkKx4KBJ0R8GuekzDYbJVEvTcaR8YNjb6OTERG3dMkBKoC5SfSLNKJZUF3uI83ACyXtad+eJO4FSd8bIbTzqX10rTSMf4kODqVCrmLBAQTUUUUeMsrhuiZ8z0Cj7qC1nMdlb908vPm8jZ90ffHd4wVu4DgCHACYUUC9Xr2m3Hu2N206X3l27I7WTJahZHLkLIGcJWAZgMFkZo+McgN8X87cxRMAPxwH4mFhMNEhkk9y9YAOOwHiFCM6zeGjPS73RdcQq0uovYblt9U6/fikJQ97vH5yEbf+weoUdw/A7fkEnk8DkMuMfM+n8IO6h4z5mKkWcMlZLVh/1ubxt15w5scpxfcKhfyxA8xRtOMKcADIZHKo1evXuda5Y54xseS9byVX333X/WbeJshlKEyDwGDBxKECcH0BB7LWni6ixgZrpDmIm/326lgdvDqooZ0vFiZLkvuRFM/W9m56LXoEIJAwoOHAUIssTMSWiNj5RSgtxvoIiV9FaKy1TfrAkyQGqCS4Ls8naLhUZsEH+5mGgONReJ6A4Abaey5wL9pY+0S++9RnCbNuJWT2yaFeqXbcAQ4A2UyG/+rRZ27+qw+8zXrsyWeqfWX6zccff5z4boMaBoXJCBiTN7rW4PA8AT+YFFTnpUeiYKQaaf6aBPusbv8kdWly6lgLrps0WR3Tt4Nzz6Ztz5XONus1kKjMcyoWXUTfCVTq8DQYWNYaFLW65NuMiWDQT+DnS3zewAZhFpZ8KN+97J9mpoadUlvn0cLhmLZXBcAB4IxTluORx592lgx0Xwfu3GXS+q+PDA//9YEDB5CxGTK2AYMBE9M+hicd1FwAgshkBySsK9I/WugsiVaFOnKqJZ4GimxEseAhSYHyigIR6JOeUu2Uqc9R8ScxdqEt6HJhUgdvlggR/0QeXRdEbHyivxHBKDM+OFfTtHOYhg8ugD0HTYxPySdqxgYY8dHV1YNSe+dfFcqLfmhm+l4YPjTqdM878RVGz+ztVQNwADh17YkAUPu3H/x4R1//0iv7ulqszrbSpw4c2Mda8j66WgVmnCru3+2iWsmjZHPYKgkfTWiEfnIN5FJ8EEE9kfg1RBhtfqKYgdcHtGGniDNvHfThpSjrndC91atuwUOeryU5hFp3SE0QdYrw6njs86MnjUh9JtG0cwThtiAyU8o2PeQzLkx7GNsG2zEznUNbiaKnK4uB/oV+saXz86esmX/ltl3D/uLlZx9P+DRtryqAq/aud74dt958k/+myy//9PDIqPHow/f9ydTwI/aCjhfQ1TaE7QcsXPufeWTbCWxDxEJmAe0Rq6kuiDaHqVnJHzoJxKaeUZ2exPbRaoc3498p0OrcV+PD6qmSiB6MqSv6PtpAU38iRNevJv8SQS53VMJBqSKByyySD4NIQgjAYBxdbdO47WcObrjPx8I2H2e0lLB6zemNc87Z+KWWctunb7vtFrzxjUdeVu2VaK9KgAPAmy59CyanpmEz8amNGzfRymTPBjH1HTpdyW/o75g0MnYDPrelTm5ESgKAyBGCcIrHIEBIAolSREVttGd/EpepgSKJLDvREB9ztgChu/9whgC6yx3BteqGOgbghHCdXC9m+QyKqOYhSXR6HjptRJh8zAWF8OU6SoCZuoudewUG5mU9QVvue/s7fo2vW73oPtfzP1WtzCCXP7ZZOMeyvWoBDgAtpaJ6+8mbbroJVeey4vz24e9sXv/4O296oEpnRjyUchS2QTBREXB9qZmrAkBRkXfA9wPHToA6qls73fojqaWTtMUO9osml51FQSHpOJZYS3BofTWHzJyB+h5aBGHSgSMte7xIfvDxwTXKgpssmMdUCAL4BD6kzCeEvF8GEzAMjoZDMTljwzR95DINVEZb4GIp/9hvnnTDqctb3j86uX+6XD7leMPjsNqR6AzHvfH6dhA70/HMjqGPfOOfHz8Jtam3zYwPYlEfw11POhibNNCRF8hlCExDauZ1R6DagCwfh+iHNFUIgEFgMoAxEk7spipYKdd9WGFWvapKtFS55KPqU7pFh27Jww5CUnQnvj0CZhjvHnbaqFou1YqLxirQBt+PMQ7TEDANHv4ZjIMxWZPG8RgqdRP1OgMXgGkI5LMe2lqqGJ30cOcD7ejt4Djt5Pno6WY3jvsbtjpk4deoqI5sOPXYJQW/3O1VbcGTjWZWAMDIrt2D//svP7RsYPv2nRg5OP9trdZD+PlTw5iutaCnxUDOJrAtSRc8LjA+DjQ8wDYA25BmkxEBwaIeHiYua7Eos3X/qBRbvMJsDNiA/hhINZ1/N2uKWgGIpg1ptmPg8ZQzEssBIhcACwYgJBgsGgaXs+MZPizTh+MamJyxMDFjgkAgY3PYFkfGrKPqjOOpfT04bd1adPcvu3HBwLKPdtQqg+W23uMNgSNurykLrreR0TFQZi6dGH5+TT4z+pEv/vP2TQ8+sAslcwY97RnkswYsk2B+dwV7Jyfwr3cX4dYyaM9y5EyBrCWQMQHbJLAMSIeSIWt9x9QRkLAWoarxbTACxlQdcFUDXJcPZYvJfohbcKC5Th+z4qqOOE0Em2kWPOl8YkzAZAKmyWEZAhnLR8b2kLU9ZGwHpXwdVaeGH/1XBkMHu9HXnoVlAvmsQHupjqULgUJ7P7buX3/3ou7i11auXPyE63i7yq2tx/snP6r2mrLgeutobwOAXa4vdhkUWxcvor3nr1v97cHndi4dGdrGLMOHEBTL5lNsPnMGD+/m2PKEhZxJYDERKSvBlJyMAQajYZSemmSJiyDDJdD09AFlWNBeRQ5q15cKBJujhQnHwTIR8cCy0NET6pyBph0kJIRVqpRKA9kRBQtCpILp1i3TQzFXwxODDXzvp21Y1A5kDRceB0oFC8tXnOH3LFq0q5Sf/IMVJ28cArCDkNesDQTwGga4aiYjALBjeGR0h+/zi7vbc31d7Sff8MxTt5cefrya57yCrEmRYS4aPkfdM5A3gqk+gkQKgxKYhgwLYFQO0lxfyDnTOcJEgShFLsHDKYlJfyKox53wxczZwlnLFFBJVNuPE0BNG68okeLjMtkXcD25PwsGo1GZBykPMubDNDyYhgPH46g2DAhfoK01B9fuqlyy+bypco5fVu6Yv49SOvhaB7Zqr3mAq9bZ0Q4h+GB3V8cLEGOrPO+C9fMGzH+w+ZPejue2tB0YqRUZZah7Ag1PhHPVMApYJpFUxWRgLAjm8n14PuRcM+G+JBwYKnAbjMiqz8F1CAGZXa6R62al2ZLLQsjwA84jBYRRAEYwAYAmgRpMxoFQCglun6LhEHhcUhku5LX6vkwspkTAoB4M6oELikU9BL9+cTcG5p02ceH6hTMNTt7f2zdw//yu0qTng5vG6wPcwOsI4ABACAUAfujQgfFSeeB2ozJ9wgL6b42a+cU/3XTWw++pm7tdp9pYkYWTcb1pAAClDKZBkM0wZDMMtimnz6s2OCYrPigBLFNabZXOJcFNYRgk4MYIptcDPE+CTllk6QLXff/R29DhAtUxOHwvCHaisriOAAUh0kqbeqe0OGyTg1KgWjcwOimL79gmhZ+RtMkyZWcFPNiZDMyMVRdGx/ZFi1aJv173Dqvht375gV/8+HvrN10sPK/GCWk53j/hMW+vK4Cr1tXVA0jcVB99ajdsy7iaMXb1WzetYl2thW9Wq7UTBnfvPntm4iAzqYOMDdimQCkHlIsc7S0Oxhs17NxuorcEFIW0mjyY2UBabikzWqZ0NKlgsAYBHE/A8wUEFwFHF6FWrlqYMUQlDfJ8wHU5HJeDcwHGJG0CAEopDCYpiFREBDIWRynvoqM8g6f3mNg+mEd7iSCfpXBcAtMwwYUFZubQ0j7gt/bO22JZmR3Cn7yC+3Xfsiww2OL8Sy5HIfu6hAGA1ynA9XbKqsVANH7zDg5PvD9j262Hhke+cNOtd1j79r7g93UXTy0VyDoTw7DoFAZ6prF17zT2jXYhaxiwDCDLI+eOBB+BbQG2JWCb8s8wBManCEYmBGoNLqdeMSgsSkNw64NPI8hYUnr3+CTHxLQHxggsg8C3ZKehlMBnBDyID2ZUAbyO3o4RDFez2PYCw9JuoLerhAXze9BSMh7OZKqPtHb2sYUrz3cKhfa/cL3GuJVRashLr739Wmive4AnW3dnGQDGEfzC9923BSBkExHORXlr8jLXqS23jWG8MPoIzIyFsaqPLHWRYQT5jAXGTAluU1aey9oCWZujkPXQ1VrHvZMCu/ZbyBrSmuYIAbEkkCGAusMDzyGFwYBcRqCQ5bA7GxiadLB7l4GuFoF8hoQDVCVN+j6R9f64A0ZqyGeqsCwDp60wkMmeip5yAYVC7pn+3tIN+Xzmp0KIuzdsfPUFQL2S7X8cwJNtw4azAeDuRn30bgD3eC5fsv/QEN9xcA8/47SBReuWdP35yP496C4bqEyPwHOmwYgBk0m+axuAbfroKNcBOoZ7t1vYud/EglZppi2DwqAEbUUBARfbn+fgnKKz1YRpAMWcj/aSi97OGdTJFLY83YpDEzZ6WzkIBLjP0Wg48FwGgxhob2tBz7yFaC1W0NbXCWY+e+XZa/Y9t+Gs9dSyeyljxrMAbu/tbjvet/ZV0f7HA1w1O9MOALer5ef2HEI2a5effX7/fQ8+zNBaoG5n+4kfMxi5MJcBTOZj7+CjEN4UQEwUCw4qHsVMxQYRHPvGfTgugW1ylIsE7SUXnE3h+YcYDJ5BKS+lx1K+jlJhBvU6Q2fRRKlI4VYyKOQBzjnKrSWcs3EdshkThSyDbdE7LKPylWK2bubLJyJX/LW77Y7GhJU79pVZXw/t/wN8lraovwsAJgDcBABDB4YAYDvnottkggvhYnx4Bxq1KjyfymTprONeev6bPpNh9Tc/d6ji1isMC7oMtLeYGOhzIYwprF5twRI2Fvca6Ggl6O+pYLpSwYHJLnOgz75lauYXn2nJmGbGBhqOj0KxiLVrTkLGtmAahDKDHYTAc51d3cf7Fr0m2utH8HwVtDvv/CUESLdND7bsGJoSw8Mm5nUYKBcM9He7EKyCXzxmwhQWFnQaKBeB+d0V7Buu4cBYL1m3umdScHFw2cozj/dXed20/wbpLqwOwV+x+gAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxODoxNzoxOSswMDowMP6MlnYAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTg6MTc6MTkrMDA6MDCP0S7KAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 50172463
{'hecke_orbit_code': 31526159497823488, 'n': 1, 'trace_an': 2}
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id: 50172464
{'hecke_orbit_code': 31526159497823488, 'n': 2, 'trace_an': 0}
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id: 50172465
{'hecke_orbit_code': 31526159497823488, 'n': 3, 'trace_an': 0}
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id: 50172466
{'hecke_orbit_code': 31526159497823488, 'n': 4, 'trace_an': 0}
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id: 50172467
{'hecke_orbit_code': 31526159497823488, 'n': 5, 'trace_an': -2}
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id: 50172468
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