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mf_newforms • Show schema
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{'Nk2': 1512, 'analytic_conductor': 3.0183451964043986, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [378, 3, [29, 325], [2, 3]], 'cm_discs': [], 'conrey_index': 127, 'conrey_indexes': [127, 253], 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, -2, 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': [[5, [25, 10, 9, -2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511142513049978, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1512, 'analytic_conductor': 3.0183451964043986, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [378, 3, [29, 325], [2, 3]], 'conrey_index': 127, 'cusp_dim': 120, 'dim': 12, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 343630938490, 'hecke_orbit_dims': [2, 2, 4, 4], 'label': '378.2.f', 'level': 378, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 168, 'mf_new_dim': 12, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 6, 'sturm_bound': 144, 'trace_bound': 5, 'trace_display': [-2, 0, 4, 0], 'traces': [12, -2, 0, -6, 4, 0, 0, 4, 0, 0, 2, 0, 0, -4, 0, -6, -4, 0, 12, 4, 0, -6, -4, 0, -18, 0, 0, 0, -8, 0, -12, -2, 0, -6, 8, 0, 24, 14, 0, 0, 18, 0, -6, -4, 0, 0, 0, 0, -6, -10, 0, 0, 0, 0, 24, -4, 0, 0, -14, 0, 0, -24, 0, 12, -36, 0, -18, 2, 0, 0, -16, 0, 12, -4, 0, -6, -8, 0, -12, -8, 0, -36, 44, 0, 12, 2, 0, -6, 24, 0, 24, -4, 0, 0, 44, 0, 6, 4, 0, 36, 4, 0, -12, 0, 0, 24, 84, 0, 24, -4, 0, 0, -20, 0, 0, 16, 0, 12, 4, 0, 0, 36, 0, -12, -120, 0, -24, -2, 0, 12, -44, 0, 0, 100, 0, 12, 10, 0, -6, -4, 0, -12, 24, 0, -96, -14, 0, -12, -24, 0, -24, -28, 0, 0, 0, 0, 12, 0, 0, 0, 16, 0, -48, 18, 0, 36, 40, 0, -18, -40, 0, 12, -32, 0, -12, 2, 0, 36, -144, 0, -24, -12, 0, 0, -40, 0, 54, 0, 0, 0, 0, 0, 6, -2, 0, -6, -40, 0, 24, -10, 0, 24, 8, 0, 36, -88, 0, 0, 70, 0, 24, 0, 0, 6, 152, 0, 0, -20, 0, -12, 36, 0, 72, 8, 0, -48, -54, 0, 72, -4, 0, 0, 92, 0, -96, -14, 0, 12, -24, 0, -42, 56, 0, 0, 4, 0, -24, 12, 0, 24, -36, 0, -96, 0, 0, -6, 54, 0, 0, 72, 0, 0, 60, 0, 24, -20, 0, -18, 40, 0, -24, 2, 0, 18, -50, 0, 12, -44, 0, 0, -16, 0, 24, 8, 0, -12, -24, 0, -24, 88, 0, -6, 12, 0, 72, 8, 0, 0, -36, 0, 0, -44, 0, -6, -48, 0, -36, -8, 0, -24, 28, 0, 30, -16, 0, 24, 12, 0, 24, 4, 0, -12, 4, 0, -24, -16, 0, 18, 0, 0, -24, -88, 0, -48, -20, 0, 18, 26, 0, 12, -24, 0, 0, 2, 0, 0, -30, 0, 0, 40, 0, 12, -66, 0, 36, -12, 0, 48, -32, 0, 192, 0, 0, -12, 76, 0, 12, 8, 0, -96, 0, 0, -12, 70, 0, 0, 48, 0, -36, 44, 0, -36, -64, 0, 0, 92, 0, -12, -32, 0, -24, -2, 0, 12, 72, 0, 96, -4, 0, -18, -30, 0, -48, -8, 0, 0, 4, 0, -42, -60, 0, -12, -16, 0, 168, 0, 0, 30, 72, 0, -48, -112, 0, -48, 70, 0, 12, -42, 0, -36, 0, 0, -60, -24, 0, -12, -104, 0, -24, 8, 0, -72, -58, 0, -48, 8, 0, 0, -236, 0, 84, -20, 0, -42, 36, 0, -42, -56, 0, 0, 40, 0, 72, -8, 0, -18, -44, 0, 48, -48, 0, -6, 46, 0, -78, -8, 0, 24, 8, 0, -96, -58, 0, 0, 184, 0, 48, 36, 0, 0, 18, 0, -24, 144, 0, 24, 4, 0, -30, 60, 0, -42, 24, 0, 24, 40, 0, 12, 24, 0, -12, 4, 0, 36, 56, 0, 0, -8, 0, 12, 108, 0, -216, -44, 0, -24, 60, 0, 54, -96, 0, 0, 108, 0, 12, -50, 0, 24, -4, 0, 96, 60, 0, -6, -8, 0, -54, -20, 0, 132, -40, 0, -12, -4, 0, -6, 64, 0, 120, -4, 0, 60, -22, 0, 132, 136, 0, 24, -78, 0, -54, -12, 0, 12, -8, 0, 12, -40, 0, 48, 4, 0, 24, 28, 0, 96, -46, 0, -108, 64, 0, -12, -24, 0, 0, -24, 0, -36, 0, 0, -30, 16, 0, 48, -160, 0, 24, 14, 0, -36, -192, 0, 24, 70, 0, 0, 62, 0, -78, 0, 0, 72, 48, 0, -42, 70, 0, 12, -8, 0, 48, 0, 0, -12, -48, 0, 0, -16, 0, 0, 50, 0, 30, -8, 0, -42, 144, 0, 60, -84, 0, 24, -84, 0, 12, -36, 0, 0, 8, 0, -84, -64, 0, 36, -56, 0, 0, 40, 0, -36, -72, 0, 24, -84, 0, 36, 72, 0, -12, 20, 0, -36, -204, 0, -168, -4, 0, -6, -120, 0, -108, 64, 0, 60, 88, 0, 54, 64, 0, -12, 16, 0, -72, 2, 0, -42, 32, 0, -48, -208, 0, -72, -48, 0, 48, 72, 0, 12, 72, 0, -144, -48, 0, 12, -64, 0, 12, 24, 0, -72, -26, 0, 84, -4, 0, 0, -4, 0, -36, -40, 0, -24, 132, 0, 48, 40, 0, -108, 0, 0, 24, 0, 0, 72, 16, 0, 48, 10, 0, 0, 20, 0, -24, 0, 0, 144, 36, 0, -36, -8, 0, 6, 280, 0, 120, -2, 0, 48, 6, 0, -48, 64, 0, 12, 128, 0, -36, 20, 0, -96, -88, 0, 72, 48, 0, -12, -36, 0, 0, 20, 0, -60, -58, 0, 12, -48, 0, 24, 220, 0, 156, 8, 0, -12, -88, 0, 6, 116, 0, -72, 20, 0, -84, 44, 0, 0, -96, 0, -120, -76, 0, 0, 2, 0, -72, -140, 0, 72, -112, 0, -18, 24, 0, 24, -136, 0, 96, 0, 0, 54, -8, 0, -12, 48, 0, -12, 36, 0, -90, -76, 0, -48, -104, 0, -72, 38, 0, 0, 36, 0, 84, 40, 0, 168, 48, 0, 24, 24, 0, -12, -72, 0, -60, 36, 0, -18, -36, 0, -24, 96, 0, -144, -48, 0, 72, -4, 0, 114, 0, 0, -144, -42, 0, 24, 84, 0, 54, 108, 0, 24, -60, 0, 96, -14, 0, 72, -16, 0, -144, -4, 0, -12, 12, 0, 60, -56, 0, 0, 36, 0, -6, -46, 0, -18, -248, 0, 168, 8, 0, 48, 64, 0, 72, 28, 0, -60, 46, 0, 36, 10, 0, 12, -196, 0, 24, -24, 0, 48, 56, 0, 66, -192, 0, 84, -40, 0, -120, -28, 0, -36, 144, 0, -24, -52, 0, 0, 18, 0, 60, -8, 0, 12, -120, 0, 120, -40, 0, -24, 112, 0, -48, 12, 0, 24, -16, 0, -24, 28, 0, -48], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43233042
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 127, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511142513049978, 'target_is_minimal': False, 'target_label': '378.2.f.d.127.1', 'target_level': 378, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43233043
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 43, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542885679230, 'target_is_minimal': True, 'target_label': '126.2.f.c.43.2', 'target_level': 126, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43233044
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 2017, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015566774143952, 'target_is_minimal': False, 'target_label': '3024.2.r.e.2017.1', 'target_level': 3024, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43233045
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 2125, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539870812539478, 'target_is_minimal': False, 'target_label': '2646.2.e.l.2125.1', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43233046
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 667, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547276225710678, 'target_is_minimal': False, 'target_label': '2646.2.h.n.667.1', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43233047
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 667, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043676598340182, 'target_is_minimal': False, 'target_label': '2646.2.h.m.667.2', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43233048
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 2125, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036271185168982, 'target_is_minimal': False, 'target_label': '2646.2.e.k.2125.2', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43233049
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 883, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036339904645718, 'target_is_minimal': False, 'target_label': '2646.2.f.k.883.2', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 43233050
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444113006, 'target_is_minimal': False, 'target_label': '1134.2.a.p.1.1', 'target_level': 1134, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43233051
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 253, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511142513049978, 'target_is_minimal': False, 'target_label': '378.2.f.d.253.1', 'target_level': 378, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43233052
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 85, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542885679230, 'target_is_minimal': True, 'target_label': '126.2.f.c.85.1', 'target_level': 126, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43233053
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797052519534, 'target_is_minimal': False, 'target_label': '1134.2.a.i.1.2', 'target_level': 1134, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43233054
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 673, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015566774141936, 'target_is_minimal': False, 'target_label': '1008.2.r.e.673.1', 'target_level': 1008, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43233055
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 655, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043470439908210, 'target_is_minimal': False, 'target_label': '882.2.e.m.655.1', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43233056
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 655, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547070067278706, 'target_is_minimal': False, 'target_label': '882.2.e.n.655.2', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43233057
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 79, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036477343597426, 'target_is_minimal': False, 'target_label': '882.2.h.k.79.2', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43233058
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 79, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49540076970967922, 'target_is_minimal': False, 'target_label': '882.2.h.l.79.1', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 43233059
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 295, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532740277273458, 'target_is_minimal': False, 'target_label': '882.2.f.j.295.1', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 43233060
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 130604389227307888, 'target_is_minimal': False, 'target_label': '9072.2.a.bd.1.2', 'target_level': 9072, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43233061
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 162129586618901360, 'target_is_minimal': False, 'target_label': '9072.2.a.bk.1.1', 'target_level': 9072, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43233062
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 337, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015566774141936, 'target_is_minimal': False, 'target_label': '1008.2.r.e.337.2', 'target_level': 1008, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 43233063
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 1009, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015566774143952, 'target_is_minimal': False, 'target_label': '3024.2.r.e.1009.1', 'target_level': 3024, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 43233064
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 1549, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539870812539478, 'target_is_minimal': False, 'target_label': '2646.2.e.l.1549.1', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43233065
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 67, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49540076970967922, 'target_is_minimal': False, 'target_label': '882.2.h.l.67.1', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43233066
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 1765, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036339904645718, 'target_is_minimal': False, 'target_label': '2646.2.f.k.1765.2', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 43233067
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 175640385501011714, 'target_is_minimal': False, 'target_label': '7938.2.a.bn.1.2', 'target_level': 7938, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '63.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 43233068
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 67, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036477343597426, 'target_is_minimal': False, 'target_label': '882.2.h.k.67.2', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 43233069
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 1549, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036271185168982, 'target_is_minimal': False, 'target_label': '2646.2.e.k.1549.2', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 43233070
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 373, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043470439908210, 'target_is_minimal': False, 'target_label': '882.2.e.m.373.1', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 43233071
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873641218, 'target_is_minimal': False, 'target_label': '7938.2.a.bm.1.1', 'target_level': 7938, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '63.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 43233072
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547276225710678, 'target_is_minimal': False, 'target_label': '2646.2.h.n.361.1', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 43233073
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 589, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532740277273458, 'target_is_minimal': False, 'target_label': '882.2.f.j.589.2', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 43233074
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043676598340182, 'target_is_minimal': False, 'target_label': '2646.2.h.m.361.2', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 43233075
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142513049978, 'source_is_minimal': False, 'source_label': '378.2.f.d.127.1', 'source_level': 378, 'target_conrey_index': 373, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547070067278706, 'target_is_minimal': False, 'target_label': '882.2.e.n.373.2', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.2', 'twist_class_level': 126, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 798175
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 13511142513049978, 'p': 2}
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id: 798176
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511142513049978, 'p': 3}
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id: 798177
{'charpoly_factorization': [[[25, 10, 9, -2, 1], 1]], 'hecke_orbit_code': 13511142513049978, 'p': 5}
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id: 798178
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 13511142513049978, 'p': 7}
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id: 798179
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 13511142513049978, 'p': 11}
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id: 798180
{'charpoly_factorization': [[[576, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 13511142513049978, 'p': 13}
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id: 798181
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 13511142513049978, 'p': 17}
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id: 798182
{'charpoly_factorization': [[[19, -10, 1], 2]], 'hecke_orbit_code': 13511142513049978, 'p': 19}
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id: 798183
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 13511142513049978, 'p': 23}
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id: 798184
{'charpoly_factorization': [[[400, -80, 36, 4, 1], 1]], 'hecke_orbit_code': 13511142513049978, 'p': 29}
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id: 798185
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 13511142513049978, 'p': 31}
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id: 798186
{'charpoly_factorization': [[[-92, -4, 1], 2]], 'hecke_orbit_code': 13511142513049978, 'p': 37}
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id: 798187
{'charpoly_factorization': [[[9216, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 13511142513049978, 'p': 41}
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id: 798188
{'charpoly_factorization': [[[400, -80, 36, 4, 1], 1]], 'hecke_orbit_code': 13511142513049978, 'p': 43}
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id: 798189
{'charpoly_factorization': [[[9216, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 13511142513049978, 'p': 47}
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id: 798190
{'charpoly_factorization': [[[12, -12, 1], 2]], 'hecke_orbit_code': 13511142513049978, 'p': 53}
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id: 798191
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 13511142513049978, 'p': 59}
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id: 798192
{'charpoly_factorization': [[[5625, 1350, 249, 18, 1], 1]], 'hecke_orbit_code': 13511142513049978, 'p': 61}
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id: 798193
{'charpoly_factorization': [[[1600, -640, 216, -16, 1], 1]], 'hecke_orbit_code': 13511142513049978, 'p': 67}
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id: 798194
{'charpoly_factorization': [[[1, 10, 1], 2]], 'hecke_orbit_code': 13511142513049978, 'p': 71}
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id: 798195
{'charpoly_factorization': [[[-20, 4, 1], 2]], 'hecke_orbit_code': 13511142513049978, 'p': 73}
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id: 798196
{'charpoly_factorization': [[[225, -90, 51, 6, 1], 1]], 'hecke_orbit_code': 13511142513049978, 'p': 79}
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id: 798197
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 13511142513049978, 'p': 83}
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id: 798198
{'charpoly_factorization': [[[120, -24, 1], 2]], 'hecke_orbit_code': 13511142513049978, 'p': 89}
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id: 798199
{'charpoly_factorization': [[[400, 80, 36, -4, 1], 1]], 'hecke_orbit_code': 13511142513049978, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 4, 'label': '378.2.f.d', 'level': 378, 'portrait': 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/oEnkAYzdykZnYiZakd0u4LBonPck+wYUKz2NKcvKCo+AEbpmHLXMT6mQHrZoZsmBmyZb1h2wbFlVt9qqrOsZNNvvZ0wKMHE548EZOqDt/8khZvudVQVTMcPDHJsbMeZy6mnHfgPrRguPHqeX7pHctsnZ3gzPwUF5eqLK74LLYky52UVjel04f9R5fYd6p15b7DF1964syFHSfPXvzCi17z1uje2//i6w2Jv9HtG5rBFxbbdJIUX4p33v3o0Vt/6b/9pXz7LYdu/dffcdJbas2x1JpkYaXGwnLIworHYkuwuJKy1I5ZXEk5vwJHFgXrZlf45e9f5KbdNU5dmObsxTpnFzwuLBrOLyScnk+52EmYnB7w4mu7vHAvBLJKqEIuLFU4t+BxfknQG0KSaCqBpl5JmZpI0MCJ8wntLmxf71OvDjFGgAjo9jXbNgxZXPHAWCmy0oVhAgbDUiti8zqfTl8hlEHoIc2Kz7aNA1Z6ghNnPVLtMdOUNCqC0IckEfSGkvNLknOLhgvLCWE4AD/hRVd1ufVqwVyzyuJyk1MXQs4uwIWFhAtLCWeW4Mii4QVXLfAr37/MxskmJ89Pc2GpyvxS4FZBzVIrZqmVstjRXGhLTraht9Lid/91nHzPa2v3Vdf9kA5qV90nRPrzqQnxg2/c7Og3LIP/8Qc+zktuvYGf+Vf/9tff+9Gv/qv/9qEvX3745PKOo2fb8tZruly20ZAkHlortJEYpONtib1uDUoaQgVnFqs8eFhy7a4l9m4dUKuA70kCXxEEHvWqpOZLel2fA8crfPHRgBMXh7STmAOnhqyfWeJNL17m2ss7vGBvi+MLCQs9QS0ccPSsodWuc81lkpVByr7jikbN45kTcMUmwyBKGaQBnhcz1YD9p0KUl+LLBM+H/lBy094e/Z7k2stT2v2UE2cb7NygqNciVoaGdZM9lrttPvoVePxYypPHBmzftMh1e9pMTUe88UUdvuNlhl0bGqTxJMfOTHDktM+p85rTF2NOX0w5clFwciXmebvn+ZXv77BhcpJT56e5sFRjYSVgoSVZamlWOjErnZSVnma5J7jQU7S7ES+8coGfevMF2QjTHZ3lwzujKLpZVXdXw8r0l5546FP89z/88683ZNa8fUMy+J995C+5/uqt6iv3HfgPB4+e//f3P3ZCnV+JaSWKpUHKdTsu8Ds/Mc/1l9e4sDjF4kqdpXaFpZbPYstjuQPLrZTldsJSJ2GhBaeWBV51wC1XL/GdL4vYua7OSrfJxRJ7LbWsRFjuaNp9TXto6A0SZpox29ZrQBD6htMXfYQM2b5OsXOTYdO6HheWhzxxqMHzrzDUqss8fXiaRj0iinxmpjT9AVy5bcCffmWSPVsThkPD7IQkTvs0KiHPHB9Q9etcvzvhyaMRFxYDNs+E7NwI2zZEKBVzegEC3yCEYfv6hKmGpNMP6fZ82j2fpbZiaQUWW5qlVspCK+V8CxYHKds2d/nOly9wy16Pit/k3EKTheUKCyseS23BsgP3cidluWNY7MK5juLiSsLNe8/xrn+8yJ4tVVqdBp2+zyCaIPX2pjLY9OudePevVtSp9MUv/7avN3RW3b6hAH7wwEGq1Ur19JnT2x597Om3Hz529teePXiKfqToDgWtgWB+ILnYiXnBrgv81j9e5HmXVbm4NMXCSp3ldoWlts9y22O5DSsdzUonYaWTsNQ2XGgJznYNiC5veUmLN96kuWxjhSiqsdyqsNINaHUUy11BpycYDA1RYkhT7GrgQzU0TDYN66ZjPH/AkXMRTx0O0Umd198c4fkrPLJvgh0b4XMPJrzkmpCLrT4VT5GkMdNTkMQ+np+wuFjjxTe0+dz9DXZuhIcPDfGp8bqbNIno89SRlGOnK3gyYP2Ux1RdUA0FQSBQAhINUWwYRNDpGVa6mk5Ps9LTLHYN/TRl+5Yeb3xhi7fcGoFusLgyYfV2y2ep7bHcgpVOSqubWObuapa6woK7nXDj7gu86ycucvWOKosrE7R7VTq9gE4vYLktUeFWgtrGX9iwac9fbNmy+eRgMOhfsXvP1xtK+e0bBuAnjh9mbm4uOHzo8A8ePHToPQ8+/JhYWOzK3tDQ7Ws6A0NnYEF+sW9BftMVF/jNH13ihssrLKxMsrhSZ7kdstIJWO54rHQEKx1Du5uy0klodTXLXcPFjuBcSzM12eM1L+jwor0J29crmlWfdqdC6EtAESUSrQXaQG8ACM1UY8ChMwZtIu54uM6wV+XyzQG3XNsj1ivc9egk11/hc+h8l9Zykxde2+NLj4SsnzbsO2H4J29us+94yPppyRcfVdxypWKp1+boqWmu3x1x11N9kmGNF10VsGvrgH7S5fZHFKSCI6c9mjUPT0Cvb4PqVBviBJAaL9C0uoZ6I2brxiG3XtnjNc9PmKlXuLA0weJKleW2PTbLbUGrC61OQqub0OqmtHqGpa7kfFcw30l44Z6L/PqPznPdZRUWVyZodWs5uDt9j3bPo9UVRGlFX7brGrNj566fuuyyy9+/uDAf7dn7jQHybwiAx3Eio6j/pscevO3yTjd914MPPeL3BrY2utdP6A003YGhO9A5yOf7knOthBddeZF3/ug8z98VsNKeYH65QatbYaUTsNL1aHUUrR50uoZ2L6HdTen2Na2eYb4rmO9CnA657oo+G6ZTuj3DG144ZMcGTZJKPGmIYrjziQonL1bYOJXw9JEK6Bp7tyhu2KMJKz0eOdRjfqHO1TvqNCeXuf9JnxuvqLDYW2F5ucmGDYYH9ym+95VdHtrnsWWdz0K3xfLSNDdc2eP+p1Omq5NcfXmXi60WDz47SdWr84I9ht3bBiC7PHFMsG465sJ8zF1P+AxihZSQasOOjRGveWFEp6vYNKW54QqIohpLrRpLrZCVrk+7p2h1Je0utHsp7W5Kp5fS7mlWeoalvuRMS9AaDLll9zy/+iPL3Lg75MLSBO1OlXavQqfv0+l7dHuKTl/S6Qv3e2Kuv/7GWKN+5jvf+i2HG/XqZ5Tn6683tr7umcwk6qLT7vefP/nIby9eODh9/uIyjZpNUwthsn8FQiOEQAqDFKCERkmPhw6u5+f/2OMttyzxXa9cYufmiPOLTcKgSjUMqIU+9apHpypp9H0m6h69QUq3n7J+qOkPDZ1ByNJ8hdOnDFGiOXM+IQwNIAiUwZOCXl8h8El6Hs/bIdi1ybBtc49h2uHzDyn2H57itc8PueHKZT74eUMgauzY3OPJ+xWbJxWzzR4VVSWKfS52oF7x2LJe8Pj+iBt2V3nZ9Qt84LN9Ar/Bq282+GGPLz8Y8bkH6jx7rMplm2rs2JgyNxWxczbmmh0pSmk8ZQBDLQyZmwyJYp9OL+DpQz7dgUevr+gOJN0+liR69m/v9FO6fUO7b1jpw3xPcWHZUGu2+Ok3zPNttwy57rI65xYatLpVOr2QTs86Pr2BotuXdPuC3sAwjBwJ3POg32jO/Pbs3INLr3jpzf+y1ep9YGKi9n8vwNOkA/AjK+fufOf5Y1+ZTocDamGI0QASjCAzeoRMkQKk0EhpHRJPGQIpefLQHI8drHPw7EXefGuXW68aMNlostSqUW9XaPYDuj2PjjvZ/YFHb+gxGBoGkSaKDXFsSFJ7j5IAo0Eqge8JKoFgsiGYasCGWc2W9T1mp1p84RG4+zEfqSd47fN9nre3w73PxkSDJrc8T9Dq97m4WOdFuzWzkz2qXsggUcy3Y5QWPG+3R60x5NEDFV56wwQvvK7DowcUmAmef1XAD3/zEl96POKLD9XZd7LCtjnFhukqU40aEw2ohuB7BiVBG9h3TJCmgjgRRAkMY+zfOEzpDzWDoaY30PSGmm4f2kOY70oudmCoB7zq+iXedGuL73m1JkmanF+o0+lVnCTx6brj1xtIegML7t4gpT9IGUT2d5+5eI4jZ74wPd/S//m73/JSb6Xd++PJ5tcP5F83gKfxRYRIfrhz8YvvXDn7hXVKDGnU6yA0xggsd0sQAiHsUiwFSCly5vKUwVeaqi9Y6FX5yFe28OXH2rzkmhXe8aoVrtnZZWayxuJKjU4/pNf3HbCVvUeCYSyJE0GS2KXeuEVDSYPnQSWAWlUz3YjZvK5HQpdDZ2I+eleFo6fqTIZVbrzK40XXtnnwYIs7vtbk5isqbNvY40+/IlAipNmIWekO0QaUgLlmj3YnQCdV3vSSi3zkczV2Xajwxpt7RPEidz01Q5xWuOmqdbzxxjZXbG3x5Ud7PHmqxhPHArZMS6abglooCHx7EUoBQhi0Aa0NceIu1tgwjO2FPIigH0FnIFgeCpY6ILwB1+9Z4R2vWeElV6XMNCustOusdCxrdwc+vb5Hd6BKwBb0hsYCe5DSG6b0h4Z+BIlRnLvQ4r9/+EvrOgnv/L4332JOnV/6k60bpv/vAHjn9O/SizewdOZzP+CJhXcN2o/OoruEQYNKkqC1cCATCAwCnDRRFtwyxVMCT2k8pQk8Q+gZqp5geaBYbE3xsTvrPPB0l1uuW+Edr17h+l0tZtIqSRLSG1To9n36Q48oVsSJJEklqRZoYz9TCkMYaGqVhDCICPwhZxaHfPZhyeHTAcdOT6F0yK6NAVfuVDx/bxsVzvPUkQabJ2tcfRlsmFtmqd3kms2SRBu+8FDIsCeZrCe87qYBn7kr5uT5Bnsu9zm3MuCZoz5b109x3c557n2yw/3PCIZRwN6d0+zdGrJ3S4cj55Y4fAYe2l/j0NE6NU8QepJ6aKj4IKXLABh7sSYpRAlEqaA7FLQHgnYMkU7QZsALrmjzjte0eck1KRunQwaDCRZbFTrdkO4goNf36A2sJOkNBf2BpD+EfuTAPbTs3Y8M/aFxK6IgNR5nL7b5nQ99dd0zR8+/a9tMPfnPf/DpDz59bIX3v/P7/uEC/F//5p9Q3/zXLB14xfeE5ui7B8MjkwaD51UIvIRKoDA5wAEUQkiklCgpUEpZcHsW5L4nCDxN4BtC31ALUiYrgs7QZ7k9xSfubvKVJwasn+rx9pe32Lt1wKDf5eqdhq0bFMPYJ00VqZaYDNxS43spJy4Yjp0XrPQ1n763xpmFKUzkM1VRbJrx2L7B47LNcPWuNlou8EefqbO0NMHNez2u3tXiy08IROKzbkpSryX04gBpJBiJ8gJaA8GFJcFVpsbLn9/hvkerbJoNuPnqaX7omxd4/+c6PHSgTnfgs7jSYOemKns29rhpd4dvf2mHs0tLfPrekMVeyIlzPmfOBPhKIKVEINDGkGqItSFNNFMzMdde1WM4jNm7dchbXz5k3YRiuhESxxXOzVfo9QN6Q7vK9R2w+0NJfyjoDwWDIXYlGKburi24I01/CL1I0I9hkAhSITl1sc2H/urB2efv2fTuW2/YGL//nbv+7PzR32HDZf/iHx7Af+E/f4SfeP03iR/6efG22eoz7337rY/Vnne5oj8M0DpGBxKtJRicPBEIYVlJSlBSOuZ2j54FYuAJAl9T8Q3V2FCLDBOVlKmqoBdJOlGdY6fr/OafTYNOEEnC86/tsXNDRJKANhpjbBJHCoFUAs8POHAyYN/hCvWKRyOQzNYEczOSddMem+YU2zem7Nm+QioW+a+fbHLi5CQ37/bZuyOln3T42lMhk1WfmQnDZCOiVrVSSGtJa6BY6hoWWymtbpUXX73Cw/t67D+pmGxWuOmqSX70TYv83qfg0cN1un3DSsfjwlKTDbM11k0N2D4z4N+8rUez1uLJY3DglMT3DUoZhNBkB9IYSBLYsSHllmsS0tgnTkKMqTGIfM4vBPSHdkUbRCqXb/1IMBhKBpGgH8HQaflhpBlG2kkeC24rfQS9GHqxoJMIeilokzLoRnRXHpt89bXr3/sfzywkZ1f+1cfOHJo0m6/4oX84AP+pX3k/sW/Ur/3Fx95y4tT8B99//3zlqf11fvMnV7hyW4J0bolVJk59C5DS2IBSKau3PVsb7XuCwFcMfckw0oRRyjA2VGPNMNZEkaGZwDDWDBOIEsEglgzTkDitsP9wnSf2Q2oMFtpWG/sSAmVrPhohXL0RmlWYqEumGoqZSY9107Btw5CNcyvEZon/+skJjhyd4IbLFJdtkezassxXn0m4sDjB83dKppqaStAnlCFGCZJUIowhSSOWuxUuLPrcsLfK83Z3uPfRCuunBLVKgxt2a376LYu8+1OaZ840WOlqVjqK+WWP2ck6U80qU80JmrWYuXrM9hsiQj/B9xKUSkvH1F5Ucay4OO8RJ4o4UUSxYhi7x0gyjCXDSDKIJMNI2AA1EgwjY0Eda4ZD9xhpp+thEFtw92NsMi6WLMcQRQkMuzxvZ4t3/vgCr7jyXK21HH5wqvo7enZT+Mn++d9Oqxv+5d9/gP/kr36QWq2izp1beev+w+c+8LV95ytUq3z+gWl8z/CrP7bCVVu7zv6zdyEMUlm5oKSHrwy+UviewfMkgS/sSfAFw0ARxRbocWyIktS6IknpnkKSGtJUk2qs3tbk4BYClARPgu9D6AkqoaAWSuo1xURNMjUhWDedsH1Dj0Z9hU/eF3HXU9OsLDS5dpti+0afK7YOSMUKX3ioRt33mJtSNGoDnjoCzx71uGaroTdUXHdFzLW7DOfPpcwvB/QHNV5/Y4d7nuxz6IyiXpWEQZNrLtP86g8scuczfT5z5yyLbcP2dSnLLY/JpmKi7tOo+dSrhkqoCQNN6KV47thJ11ppDDZhpQWJliSpIEkEcSKJEkEcS4axdV6iWBDFhiiCYZwS5aRh3aZBnAWuWAaPhWXvRLASCVoJRMMImXR53o4VfuXHlnjDTZp2t44ZPlPxq90PDZa3/SOhZj/eP/87aXXDv/j7DXClQrncir5r39GLv//Q06crhBUwGsI6f32fIBoq3vrKNm9/ZZeJRorsaYTQ1imRPp7S+L7G8zx8TxH4lm0iXzIMBFEs7MmJFXECUSytg5AUtl+SatLUugupcU6J0/lCCCeBBJ4nCDxBGEgqoaReFTRrhsmGZv30kLmpDolZ4WP3SN7/uRnWVSpcu02wbaPPjk2a7RuX+eTXDEtLFfZuUEw1oVGLuXBccnE5JNgJw1gwNyGZnIRDxwzLbc35hQpX7Kjwyud3+OzdFWYaEAYBSk5yzS7Bj73xIr68yF/fO8WzZyqsb8esm0yYqCsaVUWtKqmGHmEAoQ+eZx0ma6uWQI69sFMNaSpIUhzQIU4NUQJxnFpSiDWRexzGmjiGYWxLF4axZe5BYsHdTQQrsaATG9LBkIlKm7e/fpG3v7LLa26Abq9KnPhIJYm6BytJ4r1X+HVPiMqfY3nm7yfAf+Hdf02a6h949Kljv3Xg0Nlmsx6SGoiNJKKClpIvPKT42jMVzi0t8U++vc9UM6YS1mh3UzyV4nkpfuwTeClD32MYKwtwx9yWcYRlIsdKSQJxCmlqnQStbcCltcl6OB24LcCVEi5otQCphFCraBrVhMlGwtxkn9mpFe7bH/GhO6ocODbJjgmfXRtgy4aALethz7Y2vaTNg/uaVJXP3JRisgGTjSFTEwlB4CGEvbj6w4CldsxKz9DqJlxcDti2ocEL917kjod6HDjTpBbG+CpAiAl2bVZ836sXeMGei3zojgYPPj3JYtdjXTNhspZQq0iqFUXoC0Jf4vs2VlEKZx9alBtsD6vW5EBPUu1WN0sKcaJJUgvuJIYoMcU9tq7MIBEMYpHr7XYCg36CSfrM1Nr85Hcs8W++u2cTbJ0qwzggSV3lpw7R3TPNSt3/r/Xp64LWmf/x/onN3//3D+CLSy08JX/k1/7bJ9959sSpmZkKgCYxgkgL+lLQlwFRQ7Ey9Pmtj/rsO7LCt7y0w8uu77B+NqLTqdAfhgRRQOT7BL5HGFt7L4ptrUgcS6LELrtx4jztFGf94Zhbog0FuG2S0jE3eMomTALfUAk01UpCo5Iw1RyycbbNhVaP93za5wsPT7O0XOfyOcG2dYLN6wK2rBPs3DTAC1b4yF0eR0/V2b1eMtWQTNRTpBxyZt4QehIpwBhBFHtsX9fmIVLaPcVy23BhqcruLRW+/eUtPv7lgOMXQnwvRggfberEieT5O5fZ/t1tvvBojz/9wjSPHK+zeUowW0+pV1IqgSD0BYEv8T2Bp7CBsxR5TYbBXmTaYJ2W1AI+B3lqJZ1dBSFKba1LlAiGCQwTQT+BTiLpxtCPNWlvyJbZNi+7YYVvfVmXN7wgxZdVVpZD4iQgTjyS1HPnRLqL/PyM9va+a/1l71DDwZv/OKz8n6kp/z8C8OWVFkHg/9BnPnfXOw8+8/S62aomRVjGcNZVmAgqUtCVHn2paEU+H/lqhTufrHHD3i7f/eo+33Rzm9mJIb1BhX4UEPo+ceIxjD3ixAI9SRRxKkkSSZwKkkSSpoJUi0Jra5s4Mg7cwi3dSlnXwVeawNeEQUo1TGhUh8xOdunHfb78lOGjX53gwacnmQp8rtls2DgtWT8TsGlOsmV9xGWbl3nyeJ9P3zPHhPKYmxA064JmLabVS/nc1yo0AoMQFlj9ocebbhly2wO2JqbV1Vxc9tiyrsGbb+3y4P4O+w4F1MMEJYUFua4xiKzW/75Xtti98SIfubPN/c9OcnK5yoamYKJiqAWaiqcJfPCUQDkXyjI5ZOVH2kk1rYsVLnFAtwQBcSqIU5cVTQX9xN47KQwjTRJF1Ktd3vzaZb771W1u2JOyfspjMGjQ7gbEiU8ce8SpR5IoC3AH8jgRLHaOrOsl971z++6X6m63/b56vfmNDfCVlRUWlrpozfff/sW7/8tnP/elmV5nhcmaJEqNO4BWPgQSwtQQpoJ+KuhJn77vcbodcPaBOg881ePj13R466t6vO6WFaYnAqIoYBgHRLEFehxbVyBJ7cHLD6ADuDaOuXVRUyaEcUGly4Z6msBPCYOYahjRqPZJ6fOlRyV/9pVJnj42gYhDdkwZNk4aZicVc9MBG2Ylm+Zitm1oc2q+wx98pk4yrLJli2Cy4dGsQ7MWI/yIdr/OZMMghPX440QyHSoSndCJAzq9lOW24sx8lasua/Dj37LCu/485MR8HU/F7sLwSJIKg0iyYSbk+Ze3ufayLs+cOMNHv1rljkcmOduqUg8VjQDqviHwDL4CT9p0vhCj1XUaGw5pYwPv1ECSWiKKU0GU2iRRPxX0U+gnhiSJ0XHETKXP61+1wttf1eYl1yRMVj3ipMZKKySKLWtHiecISJEk0oJcWzKKEkm/32Vh+avr4lT+l8v33Ji0V07/D6GaNBp/d2z+dwrwfr/P3Ez9W++7/+Hf++xtX2y22y3qVRv8eW6pS6Q96EkKUQp+CkFqqCpBLxX0VMgg9bk4rPLXD9a565keN32xyz/9jg5XbuuwblLRrHtEUUCU+CRJAfK0xBDa2KXQmCJxJFwti1LGZkK9hDBI8FVEux8z34753U9WOHZxikf3TWJ0wExVsG7WMDshmGkqZiZ91s9INswkbJ7rMTO5zBce0zzy7CTXbhFMNSSNmqRZ09SrEcIfEoYenrKfbwykqaQ/9OgPYhIt6PQ1na5hqe1zfrHJi/Z0eeFVK3zkixWqSwpPxhaQxiNJA6LY9njOTlZ4wa4uL7i8y0MvO8uJecmH7pjk4kqN04shgZLUfUGQyTBpA8+cyDOpgmXyxAhiDYkWDFMYJBBpA2kCSYxUQzZN9bl2uz0fN16Z0qx6JEmdVteST5J4RLFPksoC4IkFdUZC1qoURIlk2Ovw5KNfndHa+70dl9+wPBz0P/13icm/M4AfOHiIDRs2qD/7849e/uy+A81+r02t4hGntjBKJVYTZktgnBq8VJCkhkBDnEAlNdSUYJBKep4F+mJU5Y5Hmtz37IB6OOQfvaHF1pmE7Zv6vOjqDp6wLWIIB3CtMFkDsikxNwYhDUpYz9yQgEx45pjk4f0en32wwTMnG0RJjYanmKsapuuGqZqxPnjTY3rCY2ZSsGE6YdNcn41zy9z19JA/+uw6Nk56zDWhWVc064JGLaEaDrnvoGIQefh1Cypj7ImteIrrd/d54KlJW/jUT1lp+yyshFxYmOLH33iB0wuLPPD4HL4ERIyGHEDDSNLte0w1Kkw267xwd4+XXdvju18xz/5TmtserPDg/ioHj9ZJhMdwqOjFCiUkQoixwNPlBIwm0QajNb5ImQgiKsS88IYuOzcO2DIb847XDakGkkbVZxjVaHWcxi4zdqJGmTvNYqNCShbxkqC12ObBB+9rnj5z8fI3fPN3qJPHj6Tbduz6xgH4/n3Psn5mKnjo4Yd/MEni31peWqJW9UlSm6xRwoI8SQ2JFCTKMnoGdj8VJMoQpBCmUE0N9VQwSGHg+wxSn15apdNJ+S8fmcIkMevnBly1bcDMRMJbX9ln27qIOBZOb9tKxNwwcfpTSo2Qgk/cWeXJI3WE53HibI0zF2pUqoqJUDBZNzQrmmYFGlXBRE3RbCimGh4zkzA7mbB+ZsDmdW1Ss8In7mnS79a5YouhWVM0apJGVdOoJPh+xBceqDDsSfx1tls0kyj1quL1N/W5+zFNdyjp9lPaPY+Vjsf5xRpX7mzw1pe0efSZGieWGiipgdjpZZ84tW7SIJJ0Bx6tbkCjWqNeHXLllgE37xlw6mKL4+dW8PyUJ456fPyrNYRSFtzj8weNBjTGGJIoZfv6hLe/ss9sM2XPdsP6GUgTn2HUIElsN1CS6eu0AHWSypIkcZ57Kl3Nj/XfE6ftLbML4lTSX1xi3fr4t5564tHehi3b33/w4L5o9+4rvzEAfvbsaZYWF3afOn36PY89+oj0PIGUCpVolHMqVAoqFXg6A7YgdQmYxBUG+U6jhykk2lBLhfVntWCYSoZaEmmfWMN8t8lXn9QYUv7qQTuyAaPdvciM2pNpKxKFkEilSGIPqT18T9IIYeecoe5raqGmFkItFNSrkkZV0ax5TDQkU02YmUiYmxqyaa5DyjK/+5cV7n1qHbtmYKrm2LsmaVQTatWIeq1PtVojVBIlnQbHyoE49hn0Bf1hSmeobDNHX9uWuXrA6QsTvPiqIT/9tgv89sc9Tq6ECKExJkanhjjxiWLJYGjLWBt9j3oloFatUAtrVMKYRjXi+VdEBH7MjVckvONVPTyVuCSQtvX2ZVHuJJ3WEiEkoa+AgMHQY3HJc3U7WczjgsYki39ssJ8mkkSLkiQRxT1zu1JbvZm9HycWBw8/8rCMU/melU7vnmg4ePrvApv/2wD/0u1/RaPmVY+fOPyWwwcPi2rFy20nKQUy1ajEuhUqtf2NnrSMnabGJhy086wzu8rpwCR7Txf/LjH2Z5GWJEaSao9YW39dlzxuKGUpBXhC2EylgkrVUPEMFZUS+hB6UAkM1VBQDSS1qqRW8SzA64LJhma6mTAzOWTddJdN6xb5o89q/vSO9WydVMw2NM26olFT1GtQq6Y0qjHnFjVHzoVUAlt+C1mln2AQeezcoNkwO6A9COgPjGNxyUrHo1Gt0KhN8o5XXeToufO899Ob8aSHQZPqlEQb6yhFin5ki6J6FUlt4FENfaphSqtjY4zAT/G9FN9P8aRtlJAyzbPGQri6FXvEHMgFLe2qLLWLa1x8k2ob62RBfZJKEm2D+8QBPM2BXYA8Sy7FGbklwmWZ7fNhDA8/+oS47LLOW7Zv33HkYx//y/7b3vrtX1+AI/zgwsX5n1tZuvBzRg9lJZRWmqQW0CoRJFKjUoMnTQ5sL8umaYOXuiAntWWeNp1eWFdpycqy7ohL3BjQRrjH7AQVN5vJs4GVJzWexNWQg68Evmesb+wJKqGkEkiqoaJaUTSqkkbNMFFPmWwkTDeHzE712LZ+kQcPDvnInZuYqoSsb2iaNWHBXZXUK5p6JaFRG/LgAXhif43L54zTvUXavD9U3LjHcMW2Pg89PZnXV3f7ngO5T61SpVqZ5DtfusQTBy/ywL4NYBRap7YcNjEkscnrSfpDj9rAUK0oKoEmDHzCICX0tE2YebbEWCltt2CRtjQCYcgq8C3As+DclhDrzJHSmf0q0c6pykqN7bm0j6ueZ+SUr9pZriIDd2FN9vs9eebs+f/QbDSCZrPx60D0dQN4HHXlcDj45ds+/dF/ubx4Pgh8L0+eKClIpLAaPBGkyqbMlc6Y25Aq8HSWbBAO1CIHuM7BnVlZBu0ycVmywhiTB0qM2WBZqrr8nTwlLMDzoi2b/QsDRSVUVENBrSpoVA3NWspEPWGyMWRmos+muWUeONDnlz+wnpOnJ7lsVjNZg2ZVUa8q6hWoV1KqlZjAH9AaGJRU+MquZtktA0acBDSrMb1E0xu6HtRBSqcnaVUVtU5IJWywY0PMr/5gi1/6oORr+9ZjUGijSVNNkiZEiSaKFYNI0Q8l1aGiEkjCwBAGitDT+L71+z1lLMCVyeMjXLPEeIOudnGMnRiWAT3LLxR5Bsvo5LmHNGUM7EVpQJZ8S9LCcEjL2VQNJ0+eCWrV+s/8wA+8w293er/QbNT+1un8vzXAu50Ow2H66weeueef9zvHK9WqJE1NXtdRlLkKUmmZWqUWxDo1FszZo7vbgiCTgzpnaQ1GG9L8gONYJpfbJf7JUvDk5bZK4OrJrV2W1ZL7niQM7ACgSmhHMlRDQ72iadRSmrWYiUbEdLPPprkVHtjf45feP8uBk9Nsn7YOS6MqqdekZe+qoVZJqVVi4jTiw19sIJXClwYlCptQm2zp9vm+1y5z+yMRnSik5wDe7Ss6XUUr9KgEIaHfZM/WhF/74UV+8f2C+59ejzaSVNu0epzYQrNhpBlWbLlrGAoqviAMbGYz8EyesfWURirrjUthz1kO8CLl6UDunBZdgF3nACefOpCmIl9hs/eTDPQlYOcA11nmVOeEV4Bc8tS+Y5XP337nv/i2N71atNvtn282/3ZJoL81wC+cP4ox+oWHDzxexURUfEXimDKRrrVMQuo8b5UKUiVyYOvyY87Y7rWxgLbMnT0KW0dRBvca3ysDeFaDoUoXmq0jz+pOJL4vbf1GIKiEduZJLUypVy24m/WIyWafuckWD+7v8cvvm+aZE7NsmRLM1EvSpOJRr9j6lWoloRpG+P6QM4tT+EqgpHa2XBFkpqlNfGycssmTdlxxXTGa/iClM5BUe4pK4BP4FXxvgr1bEn7th+b5d38CDzy7jlRLC/DUECepY3LNMNRUIskgULkE833wPVyrn7S5AOlKkgUI91jGeIZzk8kWnZXfZsRjwZzFFflqm6/C48AuaoLSDNi6BOzS6yhO+NqDj1T37tn5wv+dHSf+VgDf/+TnqfjD2iMP3h6k8Qq+Z0+ilLZhQCaglHVO0rQAelbFlqqCqTOQ50Auy5DseQ5q85zghiIlnVUJ2gtNuLR1UU9u5QlUfAgDTbViqIZWP9eqMc1axGS9z+xUi0cODfjFP57iqRNzbJpUzNU1E1VBoyKpVRS1qqBasReHTfVHPLBP0B0EVBTuIrMaPGtCSLUgTjzqFcWLru7w4DNNerGVKf1hSq+v6ISKMFAEfuD08yRXbtX8xo9e5Gf/EO7ft45YS2KtXbN00YM5DCRhoC17u9oU313c9o6TKYWMky7LuxbIKcU52TkoAz1baUclJXmti9arV23tJEnO4PnP7e+8cHGFD/3Zp4Nv+5Y31v7sL27rfc/bv+n/PMC7K0epTWydPPDEJ/4gVJ2XxkGEMYpUC2cF2tRwkgonTyzYsyVMl4GuQXuW1Y1jcZOxdgnQWRVgrrWxT8qyBGELioTMejhFDm4LcFCuYtD3IPCxnUCBK7AKU6pOXjSqQyYafaYabR4/POQX/3iKJ46vY8Okx1xNM1GFekVQrypqVUUtZ++USpjQqA2464mAlVaFqakiTZ6BRTt9GqeKdTOKVz2vy10Pa9tFE+kSyCUVX1LxPXwvwPOqSKm5cqvhnT96kZ/9Q8P9B9YRa4/YVQDaslfL5GEs8+rCwJN4nivCkgLlZceG/PtlF2EmVURWlUaREMrIJWP0jHz0COAprcYulkpLK3SJ3MqgT9KC5RMNSZIgFwcvfXr/sT/5sR962088te/EyrVXbv8/C3AdHaO3dPpnVfLMd1XUWahVXeWZRLneyUSKPLBLldPeKlua3XLmZQeiWNLyoEaXwH0p5nZIzzJyufaWWQVdobuzikFPYeszPIPv28biSqCpBCnVSkKtElOvDGnUBkxPtHj04JCf+8NZHj+6nnWTPutqKRM148Dt2LsiqYaW/SthQi2MSPSQThQilMTPGDzX4E6zupqMOPapBwNbLhBVmMpAPkjpBZbBw0Diex6+l21Aa7hmh+FdP3GBf/v7mvv3ryfWHsNUEKXasbigEmtC3xD4tnfVc3GHp2yJsJLSHR/XlZ89lgqz8guzHOsYxmIhk58znb+2UlOno6tzYR4UbJ0DfCwAjVPB2WMLxP7x79p++WNHhsPo3/0fZfCofwSvsnP78rF3Xqv0UWpViZQJQ6mIhLOdpMyZ0waXAqVMbitlUkUb0CkuKs+W7YIlMrCP15MUVrcpWLscVJb6OD3pKgalbQLwlQV24Jm8erDip043x1QrQ6aaPSbqHR7Yl/DzfzTLY0fXMzfhMVdNmagYGg7c1Yq1EzNwV8OUSpDQrEfsO26489E6gZT4Srsgrlj0s+U7ThWJ9nj582Muv6zLkZNV5mq2U2YQ2R7I3sCxsKfwPN+WPUjrXV+9HX7jxxb4d3+oueeZOQZxlWEqiRJDzdVwhz4W5F62eum8t1WqNF/hlBQlgIsSyEvL5CqQmwLgI2DPyKlUh69NIVt0werZz7NCvKKUw5bmRtrn0QPn8G576NoP/9aPbX/8wJkT1+/5m293+DcGuEkPgZzYEbc//ztJtPStSdwn8GtonbiMoUEluBMgSaTV2qoEbO1sQJ05Jl6h28ZBXQ4mVzGI5RbH4GPgFgapMluwGBDkO+YOPNshFPqaMEioBAmVMKJWGTI90WO50+Pup+E3/mwDTx6eZdaBe7JqaFQF9YrIvXLrvGjL3oEFeDUcEqUpg36FirIXmRRipJIvS6TYQNOzWt4bMnQtYAXANUGQEvgevi/xlEJJPwc4Aq7bKfiNn1jmv/x5wv37ZzjbajKoSyZTQyMxVNzEgdA3zvvPnBSTs3cmVTKA59/XfWmRH/Pi+Bt3UoqV1eSSRZeBn8sWB+oSq5eD0CTLe5RKdaPErvbt/pCzF1a+9QN/eXf65pdf+S+e3n/k+DV7/2a1Kn9jgHeXTyHU4s2D5Wff0m89i5QNlErxPJsQyDvgE+d9K5kHlIVfKkqRd/Y8OzA2gTOi9Vax9qgqzE6CHfdQblR24M6HAxnXha/dmIk0B3cYOHBPd5lf7vPOD9f49NfmWOhOMTchmas4cFes7q65wLIaSmqhcQxutXcljICIrzwesBwHzISM1GMjRleoNLXND83Q45U39HjgQEQnDpmINcPIDusJhrZWPfAswD1lUNJHSJugwcDerZLf/qdtbnugz6+/bz2nF6boT3pMBoJGoqklEMZ29HKg7EAjPws0pciD4OyxHKiXL0wh8l6REamSdQqZMovnf+cYyEvBaDnXUdSj49L5tlTXKgDJ/Y8d5sodM2/ZPtv48HK7f/zvlMHTuIP06le0L97+z7pLjwKBG5+m8ZUGUhAGKSRSKJR0mkq6rNcYwIvIW5SSNiVJgnCW1DjATcEo7lEKXVxcTiYpJ008aYHtKQtu30sJ/JTAT6gEMWEQ06j28bwedz2R8iefa/LZe9cR6SbrmoLZipUl1gLMfHLl7sIxd5m9YzxvyH3PTtKLPDbWjMsYjjN4FnfY0tGKr3jhlX0SbQHejwWDzA2J7Mg138ssTuWAaPLBSAbB7KTgu17RpRGe5X2f63P3szOcj6v0KpJmYqh7xoLcc3GIMi4uMQ7kjhiEcHFMqd1NFDFO6UyMSJYc4GWCygBdWpFTPcbmJXCnushwxtrWo8caUiPw/YDb79/Py164959937e95LGVdvfQZLP+vw9wE+3j59/9VSYmpjap+NmX3bL9FNftatDpyxyU9uo2JK4rPpWSVBuUEnmWMtPadnKVZfVCiljQkz+WJclofs2C24zIEpHpf1HIEuUmX2XM7StbixH6MUEQU/EjarUBQdDjz+7w+M3/sY4j89P4YYUNDcF0mNIMDfUQ6q7DvhrabGfFJYRs/UrqVgIrTxbaKd0oIFCKQJo8wMz+DENRXpC6Wo0o8an6AzZM9lnpNejHwo1lsLGC76fO5lPO7lQW4COBq618/NaXdLnxqnl+40MD/vQLcywldXqhT92XND1bgxN6ECjyZggvS/q4lU/mUqVIADkbPxOGObpzJh9j9LLEzGVLZh+awmBISx56nvHUEGnL4JEWDLSdt1Lzj3PZ1L0vY7CyqRYtHXrwqWPcfO3O/z2Ax7Hmnf/qhh3Hjj7xR08/cRdX7kjRRqOkxkht04QkkCqkMCTSILWxRVZGopUumNsB3WTsXQogy8+zeojxmygxuHDZt0J327RztrIUzJ06kCcEnpUkYTAk9Pscv5Dw3tvqfOqeGY5emKJZ85muwFSY0giNS71n4JYO3DJPClWc9g4De+E060M+eZ/HoRNVKm68XN4uRoFyU1rB0lQSJx57t8M339jhTz4/Q7fm0XQjGsLIxQ1K43nSuh+KEsj9EhvZVWHbrOTnv7fHtTtP84efnebo+QmWkio936OuBDUH9EAae+E4l0mVSCIL1oVwm8I4uWL/hFLj9hjIzZjM1Gs8FllqkQeeGYPbaVy28SLWgkjD0ICRmqNnfH77w0+zkt74R5df9sY3CFb+p1LlOQHe6ab4Ncmd9z20ZfH8vl27ZxephTV6Q2Fnlqg0DzClNKSpHbOWaolWNpWsc4mSgVq4K3m048YelFFgZw0LxRjlTBuagrlz98YC27omGXun+F5iO3e8hDAcEnhDOmnEez4W8L7bNnBmcRKtqkxPKKYDw0SgqTnmruXpe+nqVJw0cd55Du7AZi+HccSh0yHdKGQqdC5OlnTKXInSCpXXpMQezbrHzi0RKhzQiRr0A0E1tqOJAyevfCdRvMz1EOoSwatibqLHj39rj7e8/Dzvu63Nez8xw0K/Tt+rUPEUNU9QVYYwMZbNpZUqnizKG7JVcRWTl85FdsHm56wE7tVALwrjymUYqRGFRDFZ364F98B1GSElvWiKe59e4tvOP7nr+surW/Zec+txY+LRi/x/BeDx4Bw905jbtTn42PDsQb9RnaHbj1yJpWUnD4MWqgCb1ihXUqncATdG5kAv9LbOZUkZ3KtLfrLQsuinFPmAoLLudlVyKnUMbsdOBH5MJYgI/IjWIOK+JyV/dkeTT9wzwyBtEAQBM4FgMtDUA0MtNNSCAtyVUBKGktBJE5sYcs6EA3jg28znsXOGux+pEcU+Yd2sCjCzW5HmtqWoUazwfY9X3djhI1/qcuB0nX7FznsZ+oYgAT/W+JFGKelqfYSNebLhPhQASrUtX62FHusn+/zb7+xx5bYhf3pHg4f3TTDfrzNQAb7vUfEEVQmhdDZqZq9KY/MJoqzHR4uycrCPOVx5ttO9WdbgmgLYmWxNTQnkxgI7MhBpQZznPgQi8OgPZ/nQx477V+1+1cfqkyvPa7W6839rBq/WpmVvZd/Ng8XbJzZMt91uZg5UWFmgpUFrjdQSrZUDdbb1x+hjDuKsGbgE7vJMwpGbwQaw2EeRp5R1Xu5pJ2AZPJVagKs0lyOeF9Pqxtz7tOADn29yx6MTLLUayGqFRlUx6RuagabmG2qBoRrgWNsydzWUVAJFJRBUAlyFnnbg1oS+1d/KG3LwNJxpVWxixenb0cRJTuCuD9KVnGpJFHmsbwqu2NrnqZMJvdi3YxpiCCLcdK/USZQsUQNyrE4jD+CdDRmntj787a/q87qblvnyYx0++IUmD+9rstip0ZIB3cAjUIJACkJpG8I9afCEcUzuphAIV/Y7DnBWnzLKDA7Fyo3T4JmTlEkUY9k7LgE71eXLxtqXnhIcPx/x+x/+6sT3vfXlN7/ohis+z3MMD3puDR6dDAMv/n2ZHKxPNnsEfpp3hGTBhjYaLQRGSvvcMXZaYu4sCDJOfxvs66zI/rkKp3IGFxmwTRFUSu1qYDRKpiiZEmRuhoyZ7yTc9YjH5+5t8Om7J7jYriMqFfyGT9ODCd928lR9nOyAaiDcXbqSU6e7A0GYsXcGcC8hCBIqQYQxMV95NOTEuSqz0wJf6nyeuRRjl60hLz9NnaToD322rxe86oYen/paRDf26ceCim8IEsviw9iUVimV+9UIOSJT7F3mjQo2a+pRDYe8/RV9XnPjIn91T4fb7q1x15MNLrZq9EVAP/DwfIUnBL4U+FLiC+OklkEinOQyo3/TONBL5zNj7VyeUASaqQN4bKwkSbIAdMQndjabsBNrW7EkShX3PX2m/u1v4vefOnjhSqD/vwzwxZamq/vfM1i+c3L9zHEk1rMW6PyqsnaeRKsscJT5gVXuIBfvZ4wtSifBiQ8jRgCev8rtqRKwhXbNwxrhAO55KYEXU6nEDIYpB87A8bOKj35xgs8/3OTich38Cl7Tp6YkDd/Q8DRV31D1oeJbcFd8O5PQlpnK0l24nxsHcp2DPPBte9qRs5qnjoXg+26ZN6UU/WhaMGO2vMw0FSSpHed8zc4hV23psv9MjX5FUEsEYWwYKpy1px17Z25KZkEWWiX32bPmBK3c9AGfQeRTrQ75gdcPedOLVrj9kS5/8aUax89W2H+mRrQSkoQeA89DKld+gfs8XOlxJg/JAmgzyuYlyTIKbpGzd0oG8nJyyBRth+jS8yK9F8XKMvzSgIeffJy5mefePeKSAF9utUQUDX/69//04OTlc4Ybrxjygt0xUhm8AExsp0ppLfMJpsZINLLU1S7zwCcHNsI1BBeOSXalF4yQae7s4Lm7tACXwjJ2GNpJqkmacn4RvvhVjyOnq9z5YJUzy1WOnK1DGKJqHhVPUfcMdU9bF8G3g/Mrvh3XZkGc3aW7KwdwnOZ24PZTQt+yt72wIo7Nw77jNXw5ag/mEoWiHjwPunL71PY0JonPVdv7XLGux9NHE3qJTyMWDD0I3ExAVQK4lAIh5QiTQ6F5izqfrP5cud5Jn6Ef0KxGfN9rh7zk2jZnltt85aGAo6dCbn+0xtnFCmnfR0uPOFAglQuWrbWSOyvlx9UYLyTZeFKIDNBZ1K3BpAW4dVq8HxtIDMI3SE9z0+4hN+2KuGnnnbOvec2//mf/+LuOvcur7FxLBFwa4O/98G3EScoHPjMgjbawc12ba3b0eNkLBly1M2LTtObyHTEBAh1nOlsVQaVj8xG2zgFODvQ1b3nEbvKh9NldqRQ/TIlTw9FTgqeOKr74YI2njwU8e6xKexgyjELwA1TTJ1SCmoKap6mWfODQy+o0srJZWxceOlkSBIogkO4CMIX29lObWfRTN7Q/xuiIC0uSoQnt9Ftp8Eo223hdR3ZeU1P0O6bODxd4zE1HSDWgG/v0PGGdjrgoGPOUHslASlGCVxbfZKtrxuSlHko/Vfn4id4wYMNUxLb1Mc+/bEg/6vOPjrV4+njAFx+o8NSxCkdPhsSJhwkVqVQgJGn+x0nKYnL1uWSNlLQuyY8SY2dZvwzsscFDs2tnzObphL07I17+/CFX7zBsnlHEyWJ96dy934Xw3vW/xOAf+fgXuLDQUZ/+6rNCasFyPMETxzyeOlLl9gcHTPgJ27bEXLM34rU3Dnnl9REYm0ip1oxjaAlaksaOySnmlBTPR1Nj1g60TO17xu6sJg1xZOgN7DJ4/LTkz+8I6cWKx5+tcPhUyEI3YJgG4AWgfFRTEUhBVUFNGSoKO85MucIjZVk78IVNepTB7UsCJ0vCAMIA55rYlLnvaQI/cRnRmGol4uJyyhfvb9DqhExNCDyp85KBDAfjt7zcNNfikuFQMTujeN2LBtz+cJ+TrTp9X1qZ4oGfGPw486ydxy5TaxdSnnUi88/Qxit9hgV6kCpST5H4ijj1iGPfWql+TD2Ieck1CS+8csibXzbg4CnJE/t8+pHiT79Y49h5H4Sk1/dII5W3TRmPIhtUPq85wEu2Sp4R0ojEILTGOLau1lJ8XyMwvPKGIa+9ccDVe2K2b0mY8AQzdem2oqnSH/gkrYOCys3q0DO3J1dc/bq/OYOvn228Ryad62qephsqBrKKTmC+J5lPE44tpdz/lOZjX0yYm0oxRnPD7pi3v3rgCthhbkJz/TUx9YpN2+LYW6x1pWd78khDqyd44kmfxbakWoEH9/l85p4Kg1gxiBXnzgdo4REbHy188DxE6OFJSaAEFWmoOGCHyhAqY2vAPef5egVzB1lfZg5u5Xo0Rc7ega8JgqxAK83ZOwhilIr46mOKT32tgQo8a7eN6O9LM3jeCZNmjodiMPB50y19Pn1fmz/9ygTdpELd6XA/0+FxlnE0ebeQEDIHmP0oWdL6JYBr1wXvWSb3PUXieXhJaoGuUpSyg/SnKgm37El40Z4YI4a89RU9BrHNMP71PSEP7QuohoKFtuKJpwPaPelU0rhgyYBdgN0YqFc0118fMTuZ2iGpqeHtr+5z/RUxxsDclGZ6UuNZtU+aevQHdoLWMAoZDBXtQXrd1KbJ9wA//jdicGMWgJnmx/7yk3u0jpUxzseVClRgv7dnO7uHRnOh5XNhxZ6tgyc0n/lq01aZpYaJqZSbr4tpVG33xtpeSYZvd1qkYKWrePipgHZLIj3FUEuGxrPMJDzbQSE9kB5SSnwpLJilIZSaQFogBAoCVczosyAvxiTbPX5k3nhcBrdleFdW62cMnpbuCaEXY0zEmYWAaFghnJAELu2tXFXeSBYz6+ihSK8XILdTuaLYZ6qh2DobEYgB/SSknwiqnq2uy2pIsoSWkuXyVpl/lv2MLAbSpSH42jWblMY/JKnLGyi3uVdCnKSo2I2wVilSJmyZ1W7F0Fy5bUBkekjP0GoJHn7KY6UnUbliGQ2qR6nMltTWK/DC6yImpjQmsT+pSoEnslVekiYesVZuHJ/KxzBnamAwjNXFxf6exrZvbT66r9d+/pWjQecqgF+YX8DzVt51buHxVzxxqsVKVCPO1hrp/rnRIFJyLeWuysRoWtkyJDXtFTj3VTP6Z5bTXmXtmI2fQmCEQGdbLuBqToUEoVxQJVHCppgtqF3aWeI2bs1849Kj5zrpFW7rPXJw27YuO1w/DASBR15iahncsbinCVx21PdjwjDm1ILmQ7fXwQvwpSgCzFyerFFbXfKIsyGhFmyKNLUgf8fr+vzVXX2evdCgm/rUErspra0CNEUnjiqSbrlHnR3XXAnIUoFXdtd5LYznKfzU5g9svbhyiTObNLN14+65yOKhFE9ohNHM1jTf9GJthy85mWkfRek5q2MuIyCV6EQ5J02gE8nQFFayKZsVRqJThTFWmjXrQxBH+NqRyVfcuP4F78LEP/k/ZfBP/fWXkVIG9z9xinYvpm9Cy95u2UP6o/5kWVOVH909zbKoZvV1PAryAuDky61ESDtLT2JLO30BgTQEwkoBT2K9WoWrqXDPs0Iij9IclIy1i676AuAyly1hYPKWtiDQpcE5Cb5j78CLkTLixHnBfLuC8DxCyYg8kWL0GhblI5NndBnRx0mqiBKfmeaQ7Rv67D8/pJ96DFIIU4GfGvzE6fAkS6fropdSqNLVJHLZayftFv2OhTTSeKkmVRLl2SZmTypXrJYilXYrhb1n1qz9TOMmZGlklE3KMqVsZ2YfmrUFS153VMRmQB6frW0t2yVCSY3yYnyvx3T1ICcOfSbApONwXg3wV1z9LEoK4u48t99dpRulBeDc0Eb75WT5q64uKyv/bNVtvKBB5KuaZSHhlni3OZQATxiXdDB5jUf2PH9vDOTZiAhP2c2lPK+Yh2LBLe1jkAE9Cz4duLPuH0/nEsX3rD4NgpiEmNvuq3Jhvoo/oQjKNRxlB4UxRTpSaSfGgkDFYGgn2L7x1i73PTmgnVToeR7VRBO5dHq5ICorOBNCU3QOZYFmUcxmrUM3U8WQ1+p7WpAogZfKfP9RT2kSB/QimabzBJvMQC4LpytzvbKU/mqAG1YjXYzC35SBXlykxSBVSxNS2MxuN0257f6EfSfPud3lngPg73rfHXzymcaLa8nHb3z0oHTsbY+gzKrKso8QxVVnSl/ub3Irn3Rb0108KgEKZ7Nlr53tlj23j1lpLA7k5KMQysDO56AoRnZpGwF4FnBmutvLZIlxenu0ljzwYwI/4nxL8+jhKngBnpMnXqlAKfu7xBjCLSMVVXdFXYbMPfE49rnh8iEzk31ayzV6iaKmwE/s36KyyWFxGeBYkOcfJIv6+owNtSlKKFylp68FqZKkSpMqQaKksyKL4rWsHCIDtlImZ/F8sGkpISfK4B55LINFrImZMuDLzS7ZP5bCYKS29U7C49pdXa66onXjP/3h17x48N8+dm917m1rA1wkMZWg801/esfk9fc9NYvwKghPjrBoBsTnwvQl3O38ZxnAZem1YhQYUoy+zoAtJbnHnL3n5S1qBbCVtLJE5d0rBbCz5lvL3k5ze+R6O7MELWMX4Pbz6sQYQcxn7wm57+kGMvQIpLDzt/MKwnK9ermOujhu+Wi0nMVtoJlqRX/g86Kr+3zzSzq897MNojSkm0oqqWGYlC5qUZIpUjoWL3/UpZgctCfzgUsZuFMlUUpbRpfSjZYowG3lidsFz5VMFMVvo8/zfEaJucuVoZfCx/hlUBCjy6ALk2fBlazxHS+JwI+vby3G32Q095b//xzg58+dYWqi/roPffzL39tbXqEW1NDSal/P1SNkVmepsnnkS+UJVbH6i+YShNLdPZEUDJSlf4ty2GL0WpnR7RYk5GzuZR30yj4fYXHXDeOrUXDbcQpjzO16NgPX3uZ7WcNBUrrHRMT8xVeapCZE5dnLcoBZ9DVmzsaIBs9YPKuLzub9pVmw6SHwefsre3z4tiErOqafVuinAj8hZ3EpjW0TzPWwhFVLtSxZk6IEckHquQ545UDuGZS2ciVVdqakktKBW+alyTLN2Ly09WO2isjnYPE1UGzfM6vfK8O8VLahha10FEaSYDAmZHmlD/30ezdf9sY7z507d/vGjRtHAT451SEIzeXrZi/uGiRLKBpUlMnrD8qsOuZ95KBedTW6nsEMxNn/UAZ4LlFKABclFswZXBSJEykKxs5mDto2NZFr8Ww0wsiwGwdsT4nCScntQNtxbxuTjWPuIsD0Suwd+hGPHpYcOlvBKB8lJYHUTkaVV57ij11VqzGiwcstfCJ3VOLEZ9emmKsu6/K1g1ViFdBPBBUJfmrwEmFnrwvXhZM4HY5EoBn9SFFicVGSRlkDQuau2HqXVFmgK+EmA+fg1vlMQynlSDeVcAVmBbgzYJZ1+SoXMf/32fcUI9+6AL8o/W4pJULbz/A9w9LKRU6fX9yl64PLo2h4+yoGf/ipFZq1IXc+GXFyRVoPWVKUTJbBWNJT45OQVn35cfYuXcnlGg1ZAnT2OdncvPIoiEymKCGsNZ+B3XW65EwuizFtxfbfjrlLw39stz05sPNsZc7cKYFnEzu2KyjGEPPxr9RYXKwiQs/67qWVZVUNSvlglCzCPDNdquPOvWmtiGOP2WnJ217V4dHDTYZphZ4KqKZWi2fnRkkcuLO1QjtPPCt3sizOmB63TcDZBVYataYlShs8t0IobUqJJVkwd2lCrcx8+FIzSrl+vwAyOegp4aEAe5khTQk/ZhTgplg1pEzZODtkOrjIbPMMadrLf0UO8N/+/c8SeIJnTnTxdMWWacpysGdGADgC7HIRfAng4+w+DurVz4v6aVmy2kafF9OY5Bh7lyfIWhaXKG8U4IHnBgD52daBLsPpGfw8Fa/d83Tk7inbufPsCfjYHQ2GMkBJ5bKXoxfieAbzUtoyZ/GSm6IdgyepR5h6vO21Az7w+R5PHq0SK5+elASpdu6RQKamdMwMQorcxbA37T5rtIuqzOSpBi+3EC24U1cSoFKTD+vMGyFkwdwZq2cNKOXGiDLIVwHcXfA5yEUZM6NsP14ynQFcSZvuD4MqOjrCmYMfQYrCLvQAnjpwlGt276z94ft/ZefZ1gribEioLMDVGMDIl5tCdpQZmrHnZa09wuZjgB4JyEaCTTeno6TDy+OQZYmxc5lSmkOoMgZ3SZ4RcGfpez9rTNZuu/AM3FlPZ+LuMcqPOHTGoxMFoDwnT8xYeezqi3fERSnpYTPuhbtunCLx41H3BXs2D3jyUESqQ/o6oJLamm3PaXAl7LblNrGUEY6mOEs6PyNF4sTm7Lx8sKl9T2lIpQW8crtTSF1MCFAj4C4AL0oAFLJ8ftdg8JEWuFE2X4s8xQj2TB5YG2mPoac0p+Y7LEZbdr79rb9WM8kP94S3xwL8mSPnOX2x/donTu382fuePsNs1dZy+GpMe+cgHw0kR7/Q+PvFFy7v8JVLE7d6lpf0MqhHGDyTJrLM5G5MW1YjrUqgzp+7JI/CeeEW3BbAxVAgvyxPyuytXF9nELHU0fy3v2yw2K8gQt/KE2lGVpVicM5zO0p5+ah2YzLKbopL3SeJR7Pm8VPf3uHLjzZZHAZE0qMvJYHrocxGPuR2oavrsUDSZGW0Bu3ArTHIMWdFOAY3+SzHDOxKCsfglvDScYBn4Ja20yvruspiL7EGqyPG2blQ36PsXVwUsrwqSDumJJUGz6QI4XH19mWmN038rBk8eK9OO3+VM/i9Dx2kVg04cvQi075kuuL2OscFe3K1rCgYuRThrgnwMTYbYfC1mLs0RKh0URUzx8XIa+Um2uYTmkqg9qTEc5LEywGeaW6dB5W+p3Nw+15WfzHK3r6KCYKIj37F55kjVZA+UkrCkowbtzazP/CS1YQlNs93qijJlERLt4mqzzW7enzrS9p84PMVtBfSlwGhFHnSR0lBLExplR1lclFm8pE+2KImRitQxq4K2ggL7syC1ZDm7C3yeEOUNHgebI64Kbbsqzj3o2BHjAE5x4nJcTISs4nCC8+YPN8jKG6g1TzVwZMYHRUSZde6CtVqSHvO4+KExg/M6C9FjFx1awF4nMHXAnLxc3fwMzBnQM+1q7O9MmkiioH6Qop8oP3aAJcFwPNETwZwY+dkOyniq8It8UvDgQrNbdnb9+zUquWW5q+/2mChFULFuSciswcvLVEQY/WTpbKcVbZd3tPq9sRJFXHiMdVUfMsrenz6vgGL3ZBIefRT6exJ4dwbUditMjtPhQ43WfbZgM7ZvOh49zJnRbnn0r12468te1twpzLT4dm5yrQ/xWtRvBYjF964RCkuilyTj18AJWlM6YKxmVR7i2NJnzkmWEeaDi3ADx48xOzs1I6773nopzsr55lpKjRuWmjpjIwHj2vKklXgFqveL4Ivsep1niCRICmGQZaZOxvsWZ79Xe5wscPdGQV3trNBxtyqxNyrGDwbN1GMnPCUzVweOy44eKKCJkRIL2/OLaoHRydCjXS6iAJuGXMXTC5K8kTkTkbebpZ6YDz2bo/YtXHA4v4qJg0si6dWpniicHEKAIkRUNjGApl/B6uLRCn4BC2LWd8jsY0DupRWn5dzE9l5KfRxcaGVpyBAAXjy85+Bvzz9y+QlBwWbixIGR7Oi2Uo0jHyWTi2xs1r76Z1XvPTxUyePHPeGUUqnO9wQxfp18wuLVCtBvhmUKQfiYwAvrqzSEjwG5PwLjsmWcTlSBno2+nhknG/O4qPAzh8VbhRw2Qcv392W1qoM7hLI3X71visNzdhbudeeF6NUzG1fa3BooQpBIU/8knVZ/tuyWOK5RPjokNGioEiXdzfLymgjj8tmI974oh4PPVsD7ZOkVov7qRvymY7HTJl1WKrsc4GnHbUmimAzey7dc+lWFZnd7QBVqU0O+lSW5KM2ecwkdHZuTek8r8HADryjq50ZwZQoafOyWij3aRo35zHWgm53GSnT1xkz2CBFetxL3NYRcWoB7Sl7QJQsjVEbOzHPFVSuyej542jwlTN5SWtnZZ+yBPbx3RpyHa4yF6U0zD0DtQSV7dWuiv1pRoDtFQOC8hFvnnYgT6w8UTHVWsTXDij+6qt1+oMAah6eFPhiVJqMB5ij3v8aAGdMf49ZhmVfPE48Jhoeb375gM/f1+PBAwGm7tNPQ3xBfqGpsgTINWsG7gLkI/Ue6OICU5bNU2n1eAbwVBYBp31t8vOTPx+LnTKpmcm0nNUpf8cisMxWunHpshbWysfPmGLVk9koOpENgJIpkoTQN9SrMgdfqp3DcYnSgXH9PQLwMTCXf1YAvAgmy0DPlvcM2Motf2WJkt0twF1yR5YCIsXIcEnPK0Yoe24TJk+NAt3P2drelXNOgiAijlI+f3+NZ0/WwPcRUhEI8s2lysGlKDM5a1z87pgWpaBuaGUpk6mz2menxTO7MIo8rtyW8PpbuzxxvMowCUilT18rgpSx7yJK4FgNcjPyPQCVXWwarYSbioC14RTIUg3LyEZjxiB0NqPFPi/OY2nwaBZ4j63qZYk6AvQc0BmbX7qGxTK4zcbaDbwM3V7CcKDxnnzk8wSB4sz5DtVKwCDKvpQpDcAsgTj/DyVbp/jZWsxVHsNb/oOyJVyOATxnbtdQm2u8EWlSsgozxs4BXgK3Gp0Pbhnb5Ezt5Y/Fc98Fl56KCYOIp08Ibr+vRq8fQN1HiqxykJI9uEYWsxyHFEcvr0WxCBOURw+vSviUCrCi2KfRiHj9LUM+fdeAJ46G4AUMtWSQOkdF221kiowitjclY8u0DPbRC85TFNJFWjbPVpVMcxvpwK6LFUtKY/V5ydrNQa7LOlysDe7x1X6MPMsxTLnWsFxWW4yE8/nqPY+Q3vMsAo33ufuPIyUMBzDoWn9YXmJdNaXTNK67R1m9XN89JkfGQL4WaxdavCxRRJ6el6LIZpZZ2063ygBv2Vrl88HHwO3ufqn+2dqDib27rp3EpHz23ip3P12FigfSNjT7WZq8DGrG7uUXazJP6U5Wzlo0I6cmm2tSAH048HnZNT3e+OIez5yokCQ+Rij6wsNPyb+TSEvad+TSWs3k5XEOShWWoTbavRZILawOL/v9GZsb4XR3xtpjMdTIOS8FwWU8jJNjGVtllbDqKI7q85nJlA3BCaSMrTN05FSAQeCR0AwSAl8WnSiXuJWvqPGrL/tRprnHr8xyZD96AMoAFwU7ZEBXBbMXafrSXRXgznZ1yO9esQlqBmi/BOrMObGOiX1UKibwYx4/LvnYVxpAANJHCIWfJ3dMXlw16udny2p2jMQYwChqUigzd0mDG4FObeuenUKr8vS9MR5vf2WfL94/4OEjdpJArBW9VOR181LgUvhihPXKytsGaMbKkxGgg2KUzaWUqJKdmYO8xOY5MTmrT6Yml2wj7D3m8Ix45GU3pSzrRFlqrQakwOIg8DRb1/s06oHdNv7KLXY6UhRpBgPrHY8sq5e6elYx9+r9csbZXLo3c92NyDeNKmRLCeAjurtwK0bArbLdHLJ6cFf9lg/AL8A9wtqlx6yxNpMqSiX4fkKcJtz5YJWnDlfB90Ha4DIQpjQ5tsTg2QW7hgYfh5YpPclLZ0s1IiPVhamb1pvazvJh5HP1rgEvu9myeD+1LD4UAQMNXpoFdK5OhUKPF72S9guUZeiIdWlsp2L+3GgrVYyNi4yxQM5YXOSShZzNbUlr5igVYB8Hd+Frr47b7JEzOeJXwbt0nLWBds/jyOk6SvkYDN666QApBf0BrIjItQaVxcjo0wL440MYS4MZxyLhTPJkmjsfJ5xdALl+K8mTHOSj9SflqsIc2Blry2zyU1l/l8BdGoqfuydlOzCTJ8pWDR46J/jg5xsMYx9qvpMn5K1pWQnviAUmigt+RK+M38wo0MsypTyFV5u1tLhHPZR8/+t7fPbuOgfO2Isv1YpeqmyVYSryeYIIg0jdWI50dCXJilTLDK6MkyvGBpjGWHswC+6NtECX2k3XMu4c6ZL+zsBsshp/UdLjZZniYFte6csEKkqwFuM0MYpJg90hoj3wEK53WH34/b+9vl4L/vOpk6f3JnlVWsaipbsQuRedbTuXe6BC5I/lvSkLp0OWgsPScyVL44BlkYksuyIKylsBKjcywc+0dhZQembEMckmQJXB7SuD52dZy6KYqmhoiN1jRCojPvCZGh++fRLCEFQFpTxqylBVxo2jIG9w9kutcUUmtZyIkhSTYRkJULO/VZYyotlFKySu8bfohVTSIIxm64aIMwuSR54KSNzUAe2ajrPygZEYqAQkk/HhiDkhSlddEcCNNoyP6XZGpY1GFO+V7uURysUWJ6NTz/JtbFh7cH7+exiTcqZIkMWJoNWFzduv3XDFlTd/yTt87MTkwvLyGzrdAVKo3C5aI79TvF4juh0JFEaWoNLPM+YuSZKRBI/AntCxUtnCZzYj8kS6oFLKQpKokvZW+R49Jge6r1ZLkvKjUjG+F3PwrOQjX65h569Y9rbauwCnFIxWW5aPAyVglV+Ucgsj4NDl2pBirqANPF1W041NSJXT4qnHd76qx6furLHvtA8ywgjJMPXpUZIJAkTqzmiaJX4ysJaY3KwOPpUpy5TSXWTPrTuitcgDTyNBj+U31npeDiwLC3H1xlf2ydol2flll6+CAsmQJF56w9KCmPSePdJnaXFIu5dQr9mRvEbk1/dqlTIiVcSIXirLk8JBGQfzKKjz52P20nijgyxX7InSnjIlYGfBZQZylTF4SZYo91wpjfKcPPESlEys9lYJqUr4zL119h0qtLcQ0iZU8g6atU9acTGXWHPsfIzyYdGATInZRpnJdr7rDOQuhR/FHldePuRNL+5y5CMhUapAeKTCYyCEc1WM6311EiU/s2bs2wh34dlYQBlrYWJM/h0zcCuT9UW6FL+TG8YItJMqZbswA7sUoNcAuBB22uwq4I88rhXNjMqW7PJs1gybZxOmpmO8DTMBSvucClXJjBcjGnvkSmL0A0c10yhbFyd9NKiQ7nfnkbccBcoowM2Yc5L1Y5qcxVcBe+R1EVBmWjvf4kRqPDdXPBuc7/sxR88p/vsnmwykBTfCK3XNuxWkVEE3qivFmgwzfhvdJrHwwnV5ydZlDe7mpiiJ0opUeySpT5gm/ORbuvzlnTWOnPVAxiA9Yu3TF3Z79dy+y4LN/AuakS9kcnlR6vg3AoU91oW0yBwUbbW4K7SyzG4soHVRLDcO9LUTPaPKYDXAR8G9Go/2UQroDQXzywGRCfGM2wc+09PjV8xq1h5j6RLgR8A+4nmXnstLL1kjjJ2BWxQMbr8jrtMbN+SyYPEC7LoAtwNyDuoRv9vJE2lf+15EO9K899NNzlwMQVl5IqQsrMHse4qSHbfGicqY8lIx5gjQc8BnjQej2yxa/Vqwd94MIRVp4rF5bsiPfmuH3/hgQCu2o46NkAy1srZhmp0bA6mgsA3HQD7isADSlDqPbBWhwa7w1lEx1jp0csUIV5DlHBwtDNKx+urzPZr8u1SiZxxnI+AekzICwNXSZOaF1+kl9PopaWoIA5GzaVl+jF4xYo2ra6xqUBQXwSrdtcYfu4q5R4baFImDDNhFeaptpcqK/lUObDMC6EyO5BJFpe7fJo65bdbSC2M+8dmQP/p4k6H2rTwRCikkgWB1U/EaaflClpXevATETUklFFZhWZ8X48vK2c08ha/tVuAVL+HH39rl4ImA933GanFQpEIy0LZ3U6ZZkFkuwMpOlil9ZmFXWg1unCXoHrVxOYmSNnfsXgZ0dowy+ZLVp49r8wIz4n/ipIwBvQzu0oVhsDip1zQTdYNXcXs/Br7MaztG9M4ImEdZfVxrl6+ktQBdfr8MkHKJZ15TPaK1yzLF5J3eUhb6W5ZkyTi4C4uwbAsmpUebtVxahr/8co3lYQZuC3BfuvFw2QoizRoXZVHbvnrFK4GacXlSWIUjVX06aymTbuNUPVonLq1U0dojST0mgpS3vLrHp+6tsdhRVqpoRYxHLw/unWzIe9fLdvCYXCmBXDrLEONS8lgL0raL2RUnB7TJ5MgaliFrgx0hbBFvGexjzD6CxUuAXbiVBC3oDyThQOKF2W4GocL3Zf6bRjYVKYHZcfiaV9ZaQB758LXYO+/lK4G+xODKJQjyrm5hxiy1AtRFoFkCt9JOghS7sHllPe7Y268lfParFR58qorOtLd0PZcikyerhxOt5Qis+tsvSeKOPUsOQHkb7PE9RPOg00iUKXzxJPXxdMILr4n45pt6fOi2AFQEQmKEINIefSGK+TNrfZ1y/kPaQUx54JkFn+CKsCyKtZO20ljZkpXYZufWuEdtMlCvkQgTgDDoTAlkUuoSMngVe4vRwylSSBMYDGE4BM9TAt8Nfbf7zhcgHjkVa8iVca20touwliwxazN5XrBkRuVJxuaqPL6gLFV0nr1UmeYuy5Ns4yaVup85aSKtexL6MUdOSj742QbnO4Hd71raQe9KMDJdYFVafmSJLDT3Wuy9ClMU7D3qHY/OMBnZQLdUJ65k9mi3P1lfT/mBb+5y71MhRy5IEDGg0EiGwu61I93OIIIijV9GSCaTLJFb0Kqyty2tDLGP1hI07jEDt5Zj8sRk9eAZa7ssa7lLJ3u/TLA5gQpHqrog2UsdVyOIY02c2DJwrxJCJTRUQ3e1je0RP8Lc449rgdr9YLTIZtxpGGVwWQZ+XkRfbmrFJjhEibmVWcXixTw9PaK3y46JpxKUTPGcLRgEMcNU8wcfbXL3o1Xb2yY9slHNfq69C4uyWO5X+7p5JlOMnoRx1lydwSyqDMuOSuaFF0kN6eZ9ZxvsKtJUk0gPlXi87PkRP/b2Nr/8BwHDRNoMlJYkwqePTdYJMv27urLQlF6rvMPN5OWzOJDnpbS59rbumJEGkQWc42SQ3aW9wHI9PoYf4Tp+CvJ0tnVJdI8QSKncQGvDMEoZRCnDSOM1qppkYOdgZx0cZY14qSVhlR4aCxDWArYc+yMKDb76eXnv+WLIDAWLi5I8cZm+VeCWOpcjyiVzZOm1kgl+kPCVh30+dXeNYeRD1cu1tyfs/HGvpLufqyQ2e14GtECszTalZFoGbAxj4AajGGVvU2xcJbVCGTeE0nXgV2sJb3lZnzvu7vPFhxWoGJAgJAkevRFpkKFjDSanCHgV1vdWOcs7xsbkDRYmB757ndunVr4Uzom9GFbJ2jH8lAnCvnZxw6XimzzTaRjGml4/JeyneO2eoNMXJKkdL1zOtI38oudi8JEAYpTRJZSKbMzYFV0w9rgsEavAXZ79l008LelvaUZlST7APc2fS8fcngN34MesdA2fvbfGgXMVK02ELYnN2dvFAXntSfb9VwXI7u8ZAfRz6JPsvBiKhEpZopAlWMSqxI8NNnVuGUqhSNMUKT3iocfuDTHf/JIuD+4LaEUu/ep2w4uFYkChdfMRE2uAPBuZZsAVWLkaFcfc0iV8pMRuWmAKYrIy3daKG5Fd6CYPQMtd/+WpDQVrP0eQKZ7jWGJLJmpVRbMm8Tp96A3HgoNyfDm2zI5YgZhVXyq78uQY6EeZ3BQgYRTQoyyuCxYvgXxUmhT1GblEkWWgG6e9SwkdaTvlNSn/47Yqf/TJBkZk0sSyt9XebiSbGPXn15Qn7o9fZbE+B3uPVPIx6oUXdeGuJ3Ic4CbbeFeipQ04ldbEqY9Umh9/c4/DZ33+6FMeceJA7mTNUEg7d5AC5Iw5K5kEySxEXLMD2kkWUTRCGMfwFti2nzPT3zoD+giL45qQ3bEzBfjLGnxN16T0OH54s+Mphd2lulZVeNs3DFkJh3QWUuLUc19odAnIR5SPf8gqBi8z2WpdZbvlyS1AC/Ky5TYeXJbnbZgSYxcjfcszrEclSpadtNpbysI1UTLGD2IOn5d86s463a4PVZsgsftBltLy421psnTxltlm7DmI0eP4nAxeAj2UtHjprh2Ty3EmlwXIU4mUdqZho57w5pf3+Pw9VQ6fcx5rtpmTEPRHooKsNGNtJldudVHGAd0tOlKU7ESZWYNOYuVAtufeuMRLBmSTAbm0shcSb6wRmeL9tZh8ZFyngXY34fTFIX09xFs308OkAwy6BO5R++s5NfhIYFAumnFMNwL84g+UlwB2Af7ycMdycKmd/talQLOQJTm48203Cv2dbffteQnDWHPHA3W+/FjVDgcvsbcU2MROVoNemjmypv7OLvJCeF86yl+b0EeBPn6nYPDR7vuilFZqSSoUKtVooUiGHq++PuLVL+xz6nM+Q211uBPPJHgMhe29FAaE2wUvk0YjyR9h0/XZa5W5J8LVpEChvUWRzbROSva+DT6zY6ZXEaEYwZHIQZ0d1/HBQAWJUMartBdSjGBgBN6x+atXTp489vmLyxe/rV6xc/uUHAXl6mViNUMXgaYDOqtBnYO+dGWPA7uYCV5MLl0tUfQo2Mv7yKiUbMPYIpi0d6lsp44MEu56OOA33z9Bqj0IVKG9hczHsZWtwXygjhj17cvszdjzVWvoWshmDfbOZAoFWxtpSjIl6yDXo0zupIrQdlhQEKT83A+2OXDa466HJDoQjsWtPoy1cpu8j3ccFWAH979o99qBW+J0uSgkig0oKVwUWRyvDOhiLWCXSXWM2csGRkGsosBhiemzHt0dm5u87IZ1n9+957IVteeKHd3W8tIRT4kfUzK2AFeF5iwDUpV0aPlRlLYVKTpvSh52KSuZB4mu3lmqUhKn7JJk25OUOnSyYNKTpsTYJQbPJUnJOSkldOyMwZjTS4Lf/OAE9z5Wd32Wgd0iUfp4UlCVUJG2r9OXbvREqUx2tJa73NFfqocvT9uSMp++lTdMjx3D8lxDVXKN8oKucVknGWvwzYZeFqPUMDA7kxB6hgefDFjpZ8zlQI7Mp4iP1s2IEuxFSbGUZM2Y0zZeIZnJhdVuUSa/CklR2KQue1t6nzzoHq/bKf//RVpSSqjXqlycX/mBJ548eMCrV4tPl1gGH2ndz5aNMku5x8xLLetPyozNeGKnnOAZ7YbJJcmIDh93UfQYi5e31hgHd/aeK4WVttY7DVI++Okmf/WVOqaSMbd1T4QoiqrkWGHVWkHl6JwXkYNk1W1Mi+cJnvJ7TtgWlXzlbvuipa3wwk2uyfMt9rIaFaGQWiOEh+ynvOUVfZ496vOuP/aIwqQEcDD4RLbvZ00mHw82jXCJH2HyXQF1Vo8iStpcOlVvCkbP3RI3bk0Lm/bP7Pg8sFylv1e/Lj9ml5QQdte4Ti9xzdoGb8NM6n6QksQpUNRBlK/b/IPK0W8Z0NkH5vLErF6SRtLypVG4uVy5BMjdqNysuKq8KZJyezbmu4GptNjXsfToqQSpUr78UMj7P9dgkHqFLSg8EHYT06zmpFxYNfIds+VwFdjH7jAG9ktplUKOlMtUy3ZhXnBVDjhladSbEEgnUXT+qNBCk2qP0Nf84Bu73P9EwBcfq2MygFvDGm0EQ9cZLzKGzWxKadzkZavDM0JXwrklurAFjZP4Blxfpv17ytJFlB+FG0FUPmblBM8akpixf5MxhTa2KjZNDamJCQcCozXeZZtXkEIQxykrbU2nHzCMZb77QNmOKYN49dU2qodGdJbMNq9arcUzYJe3wli1e0CJwYut7Myo5s5YXJYswUx7ywTlxfSGgl//kwmOngkxvgKhVmUtfVH43llJrFoLvGX9TRnQoozd5xTk451TI2l7ysVXZlXgOdqylRVkSbTIWFwihEJoDxmlXLY54Rd+uMX9PxPSGTipootvrlEMc9SNanGkyTuOyLOYWQKoqEMx2Y4Vjq2zWhRhnBc+lrnMB4SOHNPxXEoJ8PnhHJtNiLVTo9jQ7hsudjTSS8EYvA0bNUpJup0hg2HMIPKJkjUCyHLdAGMALr83DvgSmCnPzKOw/8rOiRgBuV4lT7L3M39bjrsl40GmtL2WSQq/94kGj+2vFJ53dhfZTnKm1I5W2IMjQeXYcRm9F0VF5eWzAHb5efFW2UXJ5EmG9tVzC51VqAVaODYX9rn9WZnFXYub8JDacMPemJ/6jha/89FJojT70gXYU6kYpuBM7lGQ5yAW+VaPeQJIunkuwhSlssZJkKwuxYzjQ4zkXgo1QCFZTIEVMhkoRi+KMlmkKbSjlOpUSLVRs5vcHu/9ELVagwMnH+fQU59j91ZFmmZX1yioyww8Dujxi2BtsI8t+RnA19ThhTQp6+5crihdAndhE8qcuYs2NFVJ+eIDIe/7eINW37cZHHGpmpOS9l4VyI3p71UYH5cha+hyM/Kw6r3RQUDjCaAibZ/tbKC1LByWrLRWKHRqdyOzySBFmmiaFc2PvLXLI8+E3PE1BTVRFI1IAZoc5EKJ3DoE62N7Ti5krop9P2Nyy+bZ4PuMvU0J6GVpYrcgcVlNCs88Z/My4NfClxkFu1IQhooXbh3yQ+94AVdfdR3dbgdvbqJGvV7lbKVBu9NguaOoVTSSbP9zRrKNo9JkLEuZLx1rA72YjWHGNHhZopgSs2d1J+NMXt59txRQZml5l9hRMkF6CfuPe/z3jzU5vOi7fe8tsO19jL1LsmRVgMlaQC+pkDKriEsHnGsldnJXwpWtlkFtdXghV4oOdbd5lREIt1W3cfNLcutQ2KBTSIOMNbumE37ybR2On/c4dEZgPMfiWRLDCFJkzuRGWy3uZ2l76d4TVqtL4axDQT6+rZgXY1zQmTF4cR/R5E7ba8pBe1kOs4q5pcx89WLCw2Rd0AhrRMNJev0J+gOFV69KqhXJ7KRiw4zA90oT+8tFUNJcEtAjoCZbqgtQI0aDyjJjFztlUbK49CWYXI8kerLgUuZa2+ntTJqECedbgl//4yaf+koN45cSOrlzIkrae3SA5ch8v7G/vdCIjqnHl9lxUI9pxvHbKistY3JN3ljgzkCe5bRtY24Uci5d7E5nWhhS7XS4AJ0aEjx8qXnLK/q0hpKf/W3FhRUBYeIQ6r6E9EhQTnaIIlWvMyel0OXSBZDSBeBGFD65cQ6JEeO4cddxiThG4roc0Kvb2rJ/n10wFuiWCJLUcH4hYbFlGETQHYAXBopKWDnfrHH7Zduar+v32iiV7YlofelV0qIM4vJr90VlzvKr92aRJZAXuxEUDC5EUS0ocr09uke6KoNdlqSJ091SxnheTITmM/fV+dJDNau7lbMFhcwf812cpd0y8VKsnS+tjL23BruUgf2cGc3xNP1Y9nK8RkVrV9ikbSq8kClWg2fzA4XJxjhItFG2MEtKpJGkiYfyDK+9acCbXtzjw5+TRImwe31kCHWSJdWSoas/gcI1ydjby3Q5zjrMflZmdLIkT6nQjpKEKQFalo9hmVTyYynsdPPxldPFCVEcMzk5wSAyt/t+cN6YHuq3/r/f5Ye/5wUrlVCvSDH8ntbKPEp6+d7vRcdMpoPHkjgiyzaSd9ysqiPJmxPKdSUUGxvl9l/5c4oey5G6kwzka6Tji1R8TCo1n767yn/8wwmOnQ+LJgZZPAopCCVU3CB7v/Q9PVUkpka3LcyGHWXd9ZCPlpOSYqOs0izzfHiSXDUOY2QOTOmYlpfekcm1pf+nTB7l0oeRC7K0YmZBsNGG6WbClZcnnLqgOHTCQ5sxhDnKNNi0erEUkSNrfKwnIq9aKt5zMt5antnqM3p9MxZz6PELnrUv/PGAfTCI2bJtJ5Xa5L967MlDD3zLG19m44aLy3YozmILolhSrRQNBOV6kNG9DgtWLv3NlGsJioqx1UGmGJcn2XNh7I65JcfEsrZ9LnI7sKzBkzywlDLBC1JOzSve98k6B46EUM/0dsbgahV7Z563WpOlx8t8i+cZxZRT9ePMPQIDUwLEKjIv1YKYolS1KJ+lFGCWdDquRtxY9pblykMpEUbZtjHtkQqDQBEPNXt3xfzgt3d46OmA4xdLy5bOl2LAy5m8kCw26Mw8ciNcx73OZHxRt2OE/f9G45fCQRlZ8UdwVDp2I7KlOAfKFXt5jtV9T1APDbUgRRm7V6YHsG7j1QRBhV5fEJ8+SU0UM/wyNh3RoQ7g+QkckykjyaDSe6OMUnrt9H0uQ0bkii69l+ntMrjT/H0p7djjpbbk3R9ucudjFVcl6BXAllnNiXVNsjHIecxRYkyRLYdy7OCOkZk9T2IU5KsJZk2FAqWUt6OqMmsVxVcuwMTVYY8VX2m3u4GVK4UO11ojhA0c7flTpNhjm/YMr7h+yD99R5tf+5MJlnvuC+dShVGQO31tdAZuGykq957MQCcyf7ywDrNjmXvjpcAzDy5zMJdwVj7WY8Sjhe36B/vZ9arPlXu2cePzr6bX7xcAn5tbz/TMhjueffKu36zXgp/1vS5hYOs8MqCtufNs6TbirJT+zYiTIkyJDUssPpLosQGlGHFPdGENiswlKbklogguB8LwB59s8MefaNBJfduyJbJSWC9HqxKjFYN5gCkZ0+Bm9MC65WmcWchOTL5d39/wNl5wlbkojGnysZR90fkDQtu5kFpbD167oZiZm5KRjBYGu9221eZpomn4CT/21g4XliT/9cMT9HM9IgoScyDXSIbaAiufjyLt/pqZvWqEKIHcxgoZeWTyI49lBKvZuUTf46vgyGMevxVZzIlmlXPnF35z7949d5w+c64A+MzsRr7wyf/UU0Iem5k0eCIiDGzDwXMGSe7EiDE2L3+BMqizq7MILvWYVMmej0oUUQokLfgzxi6BW6YYT/PsoYA/v6NGO3ZVgpTlSSFNghH2HnOOVunY1cvjmlZWTjP/84E/a+C7TOIlb1yUAG7GQC5GrEPpOoAzeSKFtKA29q6NRBiJ0MpKFWFIEkMjTPju1/a4/f6Qxw86za3FqqDTnT1iSu6OCyy1y2hKgZs+y4hMyYAuXNmsI//C/zal42lGsTR+wMr6WwqIpB0C1YgUx04uHPsn//LXeu/5nV8sAA7wghe9AamqLJ/9Eq35E0jpF0U8JU+WUpBQvpUlyurM5xpuijQIoUv2YSFNCh2evedkiciArUdsQSkTlJ/y5NGAn/rNKZ46FGJ8STkVX9ytZstnnIjC8xaXADZjj+WlswxksRblrH6x+pyVWtaK94r3y8BfVXzl2NueKzdxCrs1oNXdbuSxS+cLJ19kBnI0IjJcd3nMe352hR/7T4KnDrvgZCQJZKw2wsMgSKxxnWvxLIZQWKdFOemhsPUm0v0NeYLGjIE9O57m0kfLjByb0U27+sOEm27aw/d++0tpdwesAvjkZAOhGnhxRFXPEyUTRIlPnNjZGzot/Ne1AJ6fSlF8ldUa3DAacI4Fm5k0ccAWJUvwucDt+SkdI/n9T9Z4/JmQ1BtnbSdRnDTJunW8XCq5XpfSY1lajRRYUboIyr7gKmyvXmYvecZGwF5o8lWeuBOG+b45pZpxmfVuClH0PGYsrrNV1CaEpLb6HFeQJbRBJZobrhryj9/c5ed+x6eTCPDHvmdJk1uQZ3UgdkyblwWVZTYXhVeuS+UdUoyBvUyQz3G4iuQWJCkMtKSXGpbbCX18pmenEX4v/39ygHuBAuUfPrdSPXL/E9VdL9yzwlStTqdfIUkNqZB5YIPJLKLsslyDq8YCzgzMXArcTq7k7J1LFV0El6IcUDpL0E/pacH7PlXnY1+qM1SeA/MYc7uaC08UI5BzrU2pejELiEpALrzZ1aN97d84thmAKB+YS58yc4nn9vXojJJyp89I4Fn2nkcSQEV5rXA6XBqD0cYytwN9KpT9hcIQJAlve3WPfSc83vfJBt0YC3JNcVC0PbdID4MkcaPatHBbDmLwKNhbYopxy5kfnhVkOcBkxzo3xUtHbYS1KZg70YKBFiwNYLre4vvf0OfaXfqIJDjsq0H+e1T25Fd+9d2oda8+cvDU+nUfuWP48qnqSa7cpjBaQdYUSuYqrFE7Uk65jwSO4574aEo+971LxVVK6BHP29qEa4DbS+nEgj/56zr/6Y8nubDo24n0+VTYYkIVQqEkhNIO8vFdQ4MSbrD+iM996WaEcuNHvsW4A74dXlre8lAyss9Q9jjSwFxuLmFkG5SR0XYS8ubdPOtbcnhKq1EuAzNTRIw5W9mlV/p5dptoprzgqoh2T/DMEc8mgVZJr/JF62zKDIzZvy3HEFkcUfr3XKKJIffC3b08PD8rS0iMIDYwSAUDrfmm51/gv/zURl5+8zW/1/QOvnfLjpesZnCAy9YHVCvV216ws/6tSbTl+la3Q+AJpNSOvbKZ0G58F2uusmu6KFCSKawOMIULLEWZuUXhexcSpZAnIjT81ZdqvPO9Tc4ve66ISrmzXnrEbqxVzPcu5mbn87NLWczxGprx4HLVeV7LDbhULcpaTF6SJeMMn8mSfHzaGk5KudLQSqqCycUYi2ud2YVF8Jlq24wskCSRZOOU5t//SJvFtuRPP9uASkJuDuUypXyTI8GnFoJUWHApkwXybnScKY51WaKMHNOxpa0s1VIHcu1kzUwFGuEcTx3a9PgNE7O3DYb9kW+myi/+8i8+yA+/fcfJyzenN29fP3x+NYzy2o8Ri0xQYuu1ul5WW39irKeyzOB5EZUwJc1tCnDLUXArmaJCw+EzHr/xvgke2x9ax0QV3TnFowW659g7kyeZPehJXNtcxspjWcW8fNaCthghUTCtyp/L0s9KG2o9B4OvylCWWHm8RHeUsctJs4z9y66VGGHx7JxR+n35xZtfpG5whDZMTKZUQ7j/SZ+l5WwcwjiLUf4NFv9GkFKAkpKhPDq9q8TqZdYeY+wyi6dYcKcGYjc2qyIMaVRlfqX22S/dc+z33vGOHx4B+AiDA1x95RQgibunCFUfJe0Osmh3LTi2cK0a9pIdZx5R7CZQ1uI5czjXJLcKKexAKYqkjnCetyjJEyVSVKA5ctbjP7xnkq88UoHQuSWMZyttYCkFrkvHFJ06rK71zoPJ8USPyORBtjKNuStjLP6/c8vT2zl7j49ULtWmYGxwaawXLEtsXm5xE3kA6ljc2ABUIHMmRysHVftJum941QsG/OpPtfjF90xw9GwAQemLZlpcGGwrUGHDZgFoJls8LOPmxz1P6Fo7MV3TPTGlb2P/k10AkREMtN2Nu29gWtcIprei09VYXAXwTTtfjxBetHL2CJ2VJQQ+nldDx7aLOxs4Z8rfY3wxFsUHjSR7RhI/hRzJkjrlgFM6UJfBLR24j1/0+KXfn+BjtLewBAAALUtJREFUd9SIhNucXjgqHpMoIgssRdElP14KOy5D8u++BmBFibDsU1GsbozzWen3uhdr6c2RczoG5vLPyqxnXEVTsf1JCdgZQ2ZFWCWgW2ALjLBViFbWSOeTG+uTG0WqDRUv5e2v7ZNq+MXfm+DExaBwVi51E4CRGCzbGmmZ19KPQGX+uClVBZji+JTDzPIxyI6JNpAYiFNDxe/g6R6bNm3mh7/7NVEUJ/y3//g/AbgXrgc5/TN//cgtV/3Rnw1e8bJrT/Iv3lowg5TFWTD5N1rbNxzR3pcCd4mty++Pg1uJFOVpTsx7/Ny7J/jEF2tE0m21Jta6y5y9fUlpBETB3qv0dlkKjFuCa7xXRnJhJpWAXv43YhUNFMBltN6kII4xizDv2TSFk5Ingkze3ZMzfFmDl5I/xvnlwiWGrKOSFbhmrooiScAn5btf38dT8PPvnuDEfLAGako3jSM4q7mshUihyR3Qreo3uTlT/pvXuOZHrh9PQIjhn795gW+/tYqc2PHVy3dt/Zleu7Xq/1/1VYWa4c8//oV2wNSBHTPTL10/GauVTjfvfyy3EGUfnTHI6C8qPM0i1V8KKkcSPZnPbePxDPBlcAsv5eyyx7//vQk+cUeNKBPNY8FkWZqU603yCbHjIF71vFzLPqpTC+dhFMSjgB/zTf8Wt/EkT/lCyFbMDOhZ/sVKFpxkMSPSxAgxFohKhHYNv0jbUCGMa5qwEz+FK3pJU4NHytte0ydJ4Wf/6xTnltyBvCQcy1GoFe8aiLFs7vLLtqOe1fLejN2zY62wzldFGJpVmD+/nvnF2XT3pnUHLhy6o3351a/7nwMcd2LTtPtTr33h1M1Tle4NrU7KRGNg+x0dIMXIlylsn/KVloXHogRsRjzwEsBLyZz8Z5n3rTSJJ3jvX9X42OcdcwtZuq/N3llSR5FJk8w5KUsUswrEUAB2NYBXy5CRU5PNRvhbIXsVpke660fY3mRVhxSVhnmGT9hG33I6H7HKbSnY3UkUDULYRgedVXkLA6nGw/D21/c5cMznN9/XJAE3y20tgKux92SGAlIsyWdAXwvgmUWYlc1mx9wX9gIOlGa6qjl3ocLDB6afnNrY+6m5mfqah3TNyqDv/I7Xc9WOOL3huq1mdip2VYVZI2+SbwOSzx/JGhAyJhY6B2/maeeJHFn8mzywzDX3mB3owI0nuP3eKh+5vcZQZlOJsgTOeClsIU2K8Q/jjsRo6cCaM08oa3KRg35V8qd8QZPVoIj/NZCXtHcZJiP3EXCvlbovwD3a7lZ0349WIMr8nhVlGYrBnqa06ZUxHkZLAm34rtf1eM2tfUTqJoOa9NJ3nbjnurBCTGH3xe4ejd2z9xN7bZFqQ6INQ20YaIiN3dG41YOJma3m0X2DdPc1r13z0F5STe25+lbSpP+Rk+bxPZ5Zqjf+f+19eZwcVb3v95xTW3dP90zPnplJMslkIxCWhEAiAdmV9QIi+u71I+/j53FVkOuCqOh9T/Qpgj7FBcX1ustF4T4kggYUWcIaFAQDISQkk30yyewz3V3LOe+PqlN1qrp6MgkJAZ7n8+mZrqWrq6u+51ff8/0tJ1uBaZRBCYfHJccLLkCQWSIIiQJlIEGguugjyx1ybcJTLHigoGgcRAN+t9rCJ75ZwIubDV/rpmkWO3gFg77IeouE9RY1OXbcUVJ78Bn9vupUtTjgp47vNMD7LwJAKDTQ31CdDEASnUC68UVEVWjSivtPXhLEGxEufJYXDDhpUEk2zGSDwFE9Nr72kRFcy4B7V2cDvhGclwjuTdUPke+jilrJremdXgQqnV8CgnsEJcIgXAYGiu765vGTV5x4e13Wqnlta8Z2ZvPTRWn4mW82t87Zm8+OouKMYLw8BpePwzJL0DUn1KgJ5RGnlvHj0lEToyM8/F9twQNwS7WE+eC++5EMPnVLAG6dKYJvUjFhIaGmxB/sR3W941Y6rVqVCsoqS02qAR+XCBOu+mRHmAK4k9Y7eZ+hWOl4doykIMH+VYPPKBu/2orHl31rrRguQfywWs7CJGZhExzR7eCmD43g/JMnAJcDXFpp+d5TLHdg5XliXUwuSnuJYH8H8CqAM4E6fQgt2b3IWsMYKXk4etGCvX987MVvzu3prNlPJhsPo7ltESYmBnHnw3/Cr1bpcD2C6S0lfPCSESyeY6NkB4Mh+JFrSLihwjgU6bVEXDGhxFNUFAluv5NAA+5encGnv13A2o2G78ihaYPJuBWXA8s4PUmpcqtEO/o0pToxVgI0CfyqzpC4biTxvya4Re1laYlj0YRE6QAKGAQQDCYlBZAxKqrXU3GbI+7dDGOM4K8DAEJ9Kw7hW27/OAycA9T2cNQsBzdcNQIhgHukJZcKW+jtlHxcJKGBqJZbylUSgdtHcJ/mODYWzxvFVZeMoKvJzzq798mZWLZkDuoLxUmv8aQAJ1ZHZUvv+AceeH7Jb55atzFnc4YHnp3AEd0OlswbAyW6D+LgivtZGpKvJmhJKrile17h3FQAGsW9j1m47lsFvLA5AW7VWsfUEx9pDCn1TZDI2AHSKUjKOnX+RgnbWsAl6huC2o/fyT6vmHDVKodgDq1yPPNHEISWPPQWynDWKhmRxOhLKoURJHTuERaAXa3nZ3tYNMvBTVePgAvg949lAooYNBmgpf4SFeSEqgspIA/+CA4IF2csHse/nC4wOlqPik2xoKdrvGTwDzhaZ+WAAb5uwwSvb5i35vJLjJHdW7bmBsYEBh2CznbPB3PABUPpSpUKpZWUr5jOXQPcDOCUYtUTFq79RgEvbqoF7khoUjNwZbyJBHlc744015qDS9Sw0olOAGX/6LdWw3VSC66oiVXhsUjG+hDlWkecPNxPqZ8S83QSWVIhil2R3DsEOqdBIU0ZQ45AG6cQlIfUxbfOiEpLBCA/stvBV/5tBEIQ3P+4BY+KSYivclFVByFRNyjLCm/bskvDS5szGB5pw0QlgxNOuXik2DRzjV3ZzSf5tskBPm92CyjV9uzY5l36rvOXPNj7yhr9+EVjWHGsDddj4JxFo21ZPyAEUPBYSgwuJQ8nodatgpvggadNfOxrBby0RQW3KgcmpUEagklDEF+ixsigWiEB0mW/qkwdoIqCRB+LLHt4f5TH7ZQHmQHQU2PsFWdPlYdTJklI8CPi25AWW0QdBhBx+VBJXuZBjQcSAFpwCs7kY4HCn73PnwQ2PC9pzW0PC2c6uPmjw/iQCzz4tAkvNSArcWUIgU9DfJdPjAvKWFp5fynDbx9rRN9QFsd1GTj15CXOnkFyabG1YQ+0wqSXd9IEQsZ09O3aitmzZ28/efmcV05fJtDVMo7RCQLb8S+oxxk8j4F7Ul6KHnPRfVfVEzXfMuDcAbjvf8rE1V+px/peI4iCUsEdxpOmrEMs3oSRausdAT2iKREvF1Vg9c9bmYyUKPJfDcMTdgihLKTsk9QWYjc/ac1VuqJk5KtcvCp3E4rlV0u+ycEpj/g4l1ZcDkS5YtljUiJV9PRgXTjwBObNcHDLx4dxxgkVMK4OPFMGnOF7EfvpBFEAHCMEJIjrt3SBpizH1j4Xa3eYyNT3vNLaPn37ps1bYJoMk7V9ZsgyxsDKv+md3bXjihHRhctvMvEvX2jFfWssOK4O2zH9zB/Pz7zmQj1k3C0fhcHKfEoOZghwjeBPT1v4yFfrsX6rAWHEAqSR6oqX2xF5LBkJiUvtFDRUr69SRxRQq/isisCLYVehJEmTP8UWz66Pd4jYPiofT25HtTauZmH5Hs+4iuIfJwJw2nQpPqCZMgEWi4EfNjBvuoOvf2wYp51QBvU44CRAjmDwGIZhxbs3I4BF/CofdRqQZQSMUZy5dAI/+Uwfvn/NFlx6bjvW9o5d8d3b7uuldN8J3tq+dmhp7cTY2BiQze0c548+Ml4ZPHntK2PobqnDrDYHOctP8/BnUiAgzIOIHuI+RYGqdStqiSmwZUDD488YuP57eazvDcAdDiIniTOR/Fvh3BpJlIBAPEowjWuTWtsUUCc1bvnjklTlQECdBHEaYFUwq/ukS4jVDiA/0lAZbKrbiVRUEA0yY17PsA5boKZQX9xQ4sMp9X0+1OVYMNPBNz82gs9+T+DJZ01s2YsoCpEj0MkJQqlFKm3wx08mFTCZn5QCAVj1BOcvM7F0bh2GJ1pw7JIljxQ7Tt3p2OMwzbp9Xle2zz0A3HDDDVi07JyBQj43yuBcVh7cgoUz8yjWWWCUhqAINXBFDw+tNlM9lBzMFFi/Q8cN38vjG7fVYctuParZnQS3KgvG4k+igaWsDhvOaxlWnVIK+sgOoDwgaJidpMRlh/uQuH4uY7lJkMVDEWXg0KhsMg3fy2KS8fjwZKx3rf9Efk/V/jLWOypWKWttR8vxUmkIY8XVTpssjRbv6FLfrxq7QO3wJL7eE2hu5HjrUhvt7R7WbdAwoMaukJAcxignJQQGBSwGZDSBrM5RzAh0FSma8wUwwtDUsQT5hlkfL41uWF1XP29KhmOfFly2+XNmolAorLFLE3cVtcGLRHkHxiYY8lm/JreueeFjTdqZ+ODSCweZzBLYsEPD52/N4877Myh71I/pTosvQZJzRxeIIArcCT2USFARJG5ciuWOZc+HNyvi38o/ZUCZcpFIVBcloje11ZQqGXCyfdTBZDAylbGHqlQYLZPI8hNpuWVMSzBAldSFqINQ1YojtOZhrUPVYlNFVOHBrREE1OVoK3p4z3kTMA2Bz327gI07AJgIqEpwweWjJDhviijbymBA1hSoswj2DhIMVI6BUXfMXbnGWWvgjE0VtlOvUrNo7jQY3lDveWee8OE5M5tWNjVa0DUvuJGJoVIIovhgklEPzBDYuF3H9bcWcOcfsygTbQrgjiy2qnnH4k2gBE9J4MbArpa0iPPpNBCr/FuNR1H3THLx5G4HwFQiUCt8RFVRoABXXSeCSjtxD2c1XVGdPdWVsyZ7RQJCNJWKErMi/Pxd6QX1ygQmF7j0jBI+e+UIZnc6gJPwdIahV1WkzH8nANvh8ISBktuwsm36SR/etdPrJUb3wQc4AEzr6MT6dX/dsmTJMX/vmdWEukwZlukHY0XSYOTUoaoUSF0wk2Pzbg2fvTWPO+7Pooxg+rI0nh2z3CQO9AA8sr5JWmZOUu9OWnTI7VXrqlGb9phOU1BU4E8V4claKBEJj5fnUEEf5mnKDqB+LAS+iKLxQiCTOF9PuPuRVFvUASkS4E4OQBWgh/KxQ2EJgcvOLOH6K0cws9UG7MBtH1NZeBjzIr/D4QRlh2Bw1EWmrhlHLDz6748+vmbLtI62/YHs1CmKbK1trcgWpt8Ee91se3jzu4jYE+QaSvlPKBq3GxbGdAnHU8+ZuPW/6vCbP2ZhkyDZMY2GIGnNo0AqCbAwxgQqsEUMjFU0JeW/isXIqsdnb4hZ5bTB5hSAvK9dRI3/yR2EuiwijTspF0ot2acoUTgtF4hoSDAAJdKlT4J63qFO7h+Hg4IKKR4EkiIAgIOGlJQGWWwCIH4HpIRDuIDBOC47fQLwBL5zZx2eeSmDCicAcYILqPkxL4LAEwKeAEoOwYQt0NXejLZpM24/fsmim17euG1/4bq/hfSAxuaZGNj6u2GrbsH7ujqGVxcLE0EihASJDJONZhUuE46f3JPDRdc24vY/5mAzDdDUgpgpUYFV4I6oSci9VbUEyUwcdQAl0sGtWu+UdUnKUsXDp0xC9o+sxK21qoUrvDplOdxHWnjFcksrLM8lojAq144fO6I9ABSLLbVydepCzmlAWeR6LXy5rgbdI3jXGWXc/ZUBXH7eGHLEATwXEFFIraf8DtsDBmxgj4PVSxb2vO/7P7tveN6c7kMPcADo6LkQ+fzQhMhfbu8absF4SYPrBnELRIAFVV5N00YZHn66MofrvtuA/lETDklmvieiApGQA1XejWgQGVrvBLBj0mAKqCNrmwC98lKRHLPOCX4dvVRC/2obiYAdAp3E6Ij6RXGNPMG7E9tlZ+DhaJQoHQBVEmHkHVWoSfD9kpNzxQnEVarC/VmX5cv1NFBO0VzHceMHhvDeC0aQgw3YLsAdgHuQKXk6FcgZHk6cb+Hmj59nl5k78f7Lzz2gq7nfFEW2EWcJhOBP7RwfWW6UH8i0FYdA4M98pmsuDN3Gxt3A3Y/U4Us/rsfQmB5YbVXHlqZTkY1CSy0RQ2OAoyRhvUOaEo8OBCahJ4iHyVaPFKspTLg5bQOSHWSKSJdu+hh4o/VS8Ej7WJhwHNO0VdJOFEAjnMpPdfj41EWqMxK8ItqmWu+AdpBY5lZ0clyWZxZyNoeg7gqhIIT7lWgFB+ceGnIe/vcVI7A0gZUPC2zY4z+TPaZBCAKNArNadXzkvctLZ65Y8NRUHDq12gEDfGZHHqVS6TPNK04WG59/6aOat8vSNBeWYSNjlfHkOoLP/bCIh57PouLqgK6AOwZo5UWS/9VOEFnoWtY7fKUlLiStsqqSKNtjsl4Nvh67v2mcXAD7a81jkiGp3qaWbQuVvnB7Cg8nkYwIhYL4vFyE0YdSRwyDu4Rf8iO04GHAFolokfztwnfyhSuELzL436OWCaGhAEEJAxceGjIevviBUZx9UgXX/7CIJ1+g4FRHiRkYLXuYPnN2+djjTvt6pZL99+wkCQ37agfeNQBkMhk+1n//9a2txS83FFvtrFVCLjOBJ9cRfPLWIu5bU4+KlwX0DMAsgJkANYKXDr+0mo7krGcx9US525KaqPNXSsZJ04BLgtufsMqhwwNp+yMCtrK9Nj05+C0O3Ph6EdsjoXfHPidi62MRi4q/IpIL49p3bF8gVF+4ul8s9U3h5ULO8ubHKbmeHr1cA45romxbYMTE2cc7+PIHB7B84RBQHke57KB9eqddbG7/8i/+a/X12aw1abTgvtoBW3DZLGPUFrT1Rt1qtvt2bfj8d36r0zsfKeLZjXVAxvCrTSUpCYDwGQykoySB1lDXRtJaq9a3mqqoEmHVV1Xx8vgAVF1Zva7G+1q/ZypNsd6qRZeWl4S7yTBZRBQHiAaEMmxWPWnFTR+uUq191Xv5m4VClYLKV0IE447I6svzqn4ERXJnGNjm+WKE4+rQbAMnLrDxrQ8P4z8fLOPuJ2byro6mz7d2dnxtR99e+wCv5Ku+FbG2ZcNP0dJoHXnvI9v+9t7rnmbjXgHE0gP+5fd49YuqdNtwg3IlEmfph8H6PVKnfgFfRmSN7/j7cBAqlylqrgvLtYXLRCnVJku6kdj28L88Lo1c9NHkU9Kd77voo+PICauiUmzhecmSbjK8gAXjDCq3xyf8onJiL1kiT+4jt5HoPVVL55HITxEtxyfeTc6yEWZeQS37EdGQ6r4afzLExhgS7MFnGfOQNW1MVEp4aMMl3s7RBceY2vjaK9592avG5qu24AAwLo7A9GLhZWF1XnnxBU23/vZPz1CdCjDi15HjsmCNgmNP+BVCPRKEFocu40RLcuzgwkTrRbUVVv4n1ZEwTl1dr1z1hOFWzebkA9AapmIyC1KTqiuDzNj3B9coKhCkuu+VJ2IKT1cjEMNdpXpCRMKCS0080LRFQPOktq6ilQRfIkGuUBpfXQFk5n5MEULk1CEQKJUzaGh7Gz992aIrn9+28OVp9dsPAInV7aAA/Ii5J+DPT2+w33H2ST964Mmt2WO6G2/u37ULhGoouQQuV34UgkKKXMAWxC8VgKiEVy10KJpKHJixDqAWG4ouZS0lJTaITFATkugEMmiqagCqnOTkFWUTfFpUd4qQK6fQlBgVCTaGg04SLasDTKHsFxuUJvdROocamxLrZYF3tCpsQU6hpsg9UXgt8UNsJSdPSEIep7BtHbbNUV9sgu3mrmnsPOtHSzNrvUzhxAMHpNIOCsAB4LTj52D9pp3eZ95/zsbHn2gb/c3/XZV/cfMoytCgKRF9gJ+I7RL4IZo8sPL7OD5JAbsEvLo+uW9S+lPXJ+9VcuA4Jf5WNRrd/5bUq5NPO6KCE1D4dTQQDPlw4sDVPBxQMjIAKTWSOMgjqRBh5yLKd5LYG/UrSXgMXwsncL0gKSbIFZDVFgQIJkoUQ6VpaJx51mix69iNdmmHlykcdcDXMtlelYqSbA35DPJGeeUFZy+96sLz3zpQaDUx5rggACxNIKMHL82PFpPTZ9eEhpj8+0jKimSQVBKssfWkejm5c1hck1R/x+QnNUXAixrv0/ZL9IS0KlhyUBepIZFXMzpEBEJVqQkjQUNaVEMnUvqH/xJQq5ghfOdbcNfTYDsaKraGiq3DdnQABIxMQLME5h910kBd8/KrNm0TKwlLr1B1oO2gWXAAaG1uAACMj/f//J0XnqS1t43ddM1X1rQM9ZeQ1f3JhgHfeSVsP7hMcL+cV/rVm1pLA3O1NKhefMRUiXDHqv3jp5HG89PO9KCM3FW+rFyZkFIEljjGqQO+HJ14RFNULh+qJKoKomjj0TFqXG8SnU18jMMDQSE6NhcEjstQtnXYDoMQBIbu+XV1rDwm8Pb+BV2nfNJ1x3/e091yMK5crB1UgMuWy7Vg846hH8+f93Z68pLKl1Y/8mRLfYbDMnzrMlHxs5lG7GDeRUnMYyaKxp7NQt6ztAuOOHirQngVqxrTwIEqi7+vVjUITXmfuvMBtiQlgbIcuc1FwvFTwymU4PfqOlmG098YjzUnKWflX694aRBIeAt/O6d+DUvXZRgvGRgv+Z5Kw/Cnr5rVeVx/z6y3XQc4Pybk4IMbOEQAB4DujgZ8/Qd3/2hWe97zju746t7d2xstUwMhBHtHOTYNAntKgAMOoVY7Cm6a/8hjkJFpqRx9X1Y28cQN5awaA8qax63i7kRdTP/uA7hmKSwE6gAw3IkgfVkZaEprHlWqRRhVqH5WkBqHDjh4zd8R81TysLAqgf99NEhyMXQOz9OweUcBe4YNEAjoGoOZmT5gOy2f2LnhTz/pmHvpAVytqbUppawdaPvDytvwznf803NtzfmtzQ3G2cIbM1sbdczu5JjfM4CB8TH09Qv4tedkZJl6i6W8QWJezNhLppiR6P+k6WA0vh+p0rfV9VHKGqVEmVqExCaNChUWIqcyiaeryZS1aBlTeiWTpOUxQFLyTJXUNl/NEbHPVB8rKkCaGoUZULrk1I/RZ6Kp18Op1ZkXzULNPJiGjRe3uPj1Q3XYuDWLsXGKsZJAfeOM0WJT11VjE+yXC5dcKg4MXVNrh8yCy9beZHLdKNw+UdTd1ibtp8x9xZrZUULPjEEs6C7h099uwrYBUxa59kNnKQvuIPXjHVLMSK34kDRunKaWRDJfjQ+nrCO1dqlBwsNZH5JKQ4oUGN8BMVkwLu8hnIYvJiOGcSYRZUnKf3FrHaWvqXQkeRpJGTF+MSILrjEXNAA4OAFhwI4BgVvuaMDvn8phTjtHZ8M4li+ZU84W2v5HyS3cOThWeVVu+Km0g6qipLXzL7wEDBVvuDz3zqPm599z/DG5cmN+ABmdoLEOMHUKeALF7ASmFcego+SHT8r6GYnYtaSUl7zmqSsDTp4Mygo3p6gvQPqy+kXRzMb7Sd5TmkiiObEYxprEVBelHIR6jOALYwkQwU77MpdisnUJr7O0+JR60JgDAhv9wx5Gyy50jcNxKPaOaZhwNGwfdkAK08vcbHrPW45qv3N4ZMK7+OKL933dXmU7pBRFtp/94nb8+OZjxayj7HXPvdD80kQ5ex74Tv279+Tw6LpWdHe6uOXf+nHtP4+Aex6eesHwY8XDQCwSFoSRpSGSCcMxelGDqoSPYiULLjnJVGyGM6pmrSvzVybohqQyadQk/X0ycx5V61JDfWvRGEIS9APVy+qLKil9JAoNSFKWaO7T5LlE854yyqFrDgzDxndX5nDV/2nDI2tzWNStob0hA1dw/GWdhYtOmTuxYknH5R/5Sc+dwDb+8Q++67WA3msDcAC46ev34Mgj34vzLvj1Cw3GcZseep6eufJhWG0ZE5es0HHWYqCzyUNXSwX3PW1geNwEmA4QBkJIYp6dyArHSiEjHeAxAKllIcJlEgNDbH2YSERCzh2VlyDh/wj4rw7gSAGkHIOkgj8GPlJdPgKy84qU76sGuMrNowlno3Vx76/PwU3DwbZ+4LoftOCFHS0oT9RD40UUczm0NHgoNncODzvz3v+5a16+/Q/ft/Ch9737tYLdoefgarvssnejf+Mt+KcbZ9+2bH6bfs6pE1+zB15umtYwgj1D9SjkbHR3VHDOiTa+excDTAZC5Sxp6XxKldEme/wmKQmQbiXlTsm8zNRoxH190RSb6q2UbFf9TQQqzyaQpRaSrvpwXXiQyEMZJTSE6vikvyEZ0qBecAEaJVFwCo1R/P4JE1t3WMibOqblge27CF7Y0orTVizbe81x4mP5aaO3MdaDt5/76gOo9qe9pgAHgJaeDwEA7hkc+hljTFv7/Jobd/X+uQViBIwJvLyV4g9PZQFTB2UMOgUM4lMT5b6p1zuKWyaiyjkSNoVnA9Ugr/Jqovo4Sco9JQxPslNVPEp47sqgLqldS+ArnULtDL5LgUTbUD3ffaxHxMY4ko5IOVX1LYiww/hlBRn8uDWBUkXH25aW8eNVNl7YAriuB7B6dM9b0d85Z/mnXNf9GSGTF8k8VO2QDzJrtWKxARmT/cfSpcuuO+a4U/rr6zPYsWcc3/tdDpv7G6AZJnKMoMAEskz4FlzeaBGfyzxsKcFayQFpMjJR7pS0VDXjWRLHT67bD8O93y0+EE0+Kkis96sZQKqrXn6+Wm+Xh6qe7jHWBwWBxylcj8F2dVQcA+MlCx3NOq44fxCNhSGY2TzefvZp/cuXLbvO9cR/5AuHB9zAYbDgatPNLCrliR91dJ/g7jHtm7/2CxR/9bCNjGWhziTIMg6N+uG2FY+gwok/TzkRYEJycL+QOw3ub63KvTHlJFioGsQhDvQYbRHRQQiindKs/YGAPJbmVoN2JL8rjBYkqmVXXO0yaCoEu4irMQmvT3SNohjvqHhq8DwQMr7Ejw5klMN1/aKc71hRRiZrgebOHDz7tBOuBfDTfP7gxpbsbzusAAcA08qiXKn8nNa9ZWCvPdBz+QXiy3+4/0nd0giyBoFGBRwPsF2KsueH12qEwKB+uQgePKr9+ZMi712cdCugTljwmIUPARw5VPzViYArVINY7Ri1WNJkTZbETlKScLsC9qQeTsIF5bOCBLRF0cElfEUKPUlYbUAOOKMECUI4CAdcEJQqBhyXQWMcOrNRqlC0dp7uXHaW9wmj6biNYOY9lB54LuXBaocd4ABgmSZ/4i/rV37p6guNp55ZN9GaI9/58+pnCfFKNJ+hcDmBZ9jYsx1wKIOnaYFiEIz+A2cFJwgnIlDBURUXHoKV1AR+rNXi9Int0fL+2/BYHAkUjq3w9LgrHYmQWShz8iAajwjEeHsUcRj3L/innfRaBqV+KAdjLkzdAWMcL/XqGBzOwfUocpkK6vMWb2w+TrDsER9iDfN/MjHaZ9c1Nr9W8Jm0vS4ADgDLlszDY0+/YPfMbP15qVx50C5PvHN0qO8L9ng/2pt1LJrfjzUvj+O2h4roG22AR/3UByFEMLGob8YZI0EGkW+hkqCOzc+TpqLIqEIkwC47RM1fQFLeTf6JWJvM7CsGN6QhxA9sktk28QFockoTmTAsSyBHHSkOboTud5oYYBqah8HRCu5YbeLJ57M4eoaFpnqOI+a2IVPf8L9y9T2/MTIdWyfG+uz65oMXz/1q2+sG4ADwluMXAkDpWz+4Y32Zzbzx5BPrDa/S/BnqbGFzO0yctKQfj75ooX+4PlRWAH/CUC4AjRJQHvFx2WJgDcFOQt05KQOS2JsUOrIvIB7kJuP0ZLdNfkdIuYM/IbBJUORHiKAkG4KJqCTog1onJJmnGSQkBCllnkdBqcC2PcA3f9mKhkIGBY2jpW2252mtX5y/OHPjy8/v9eZ1nn5oAXIA7XUFcNmuvuJS3HPP3d555737s0NDe7VNLz16DSk/ZDrlXai4GnRGkdc4NAKMuQTjju+QyTDfy6kH5inm8KD7dv5EjhX/PGL8vAZ4yWTE/ECacozYWCItNlxycASBqkHuKxQrziGCKbt9mi71ayoSXxvMSq0x383OqEDF8RMUXEphOh4oKshkgY72Rpx+2uLKuW87+avNzc2fvffelTj33HceBqTsu70uAQ4A5513ISYmRgEuPjP/qFMpKs3Lf7tqlFZ4cblFR7Umi0DXKEjFA2MOhisaxjw9GIAC0oYnQR251BO0BRGdiEuLwTpFNw/X1uDmB9oEUFU0KLVfqfq5MraM4r6JP9c89z2bPNBVQ+cVIeCExOq5UyqgaR5M3QFlFZRsYKJUj9GJLDTmgQgbMzo63UvOrnv8pOUX8VOOn/M45/jM8MgI6g+jDLivdihl24PavvCtu2GZer5/cPT7L6zfdBkZ76N1loM5s0qY3rELt9yVwd96m1GwTDSZHHWGnx5naAI6AzQm57UiMXd8FNeigB4K+AN3fbJkBEl0FhqUh0i67sN9E59ltPrJEi7LUhDyfMLyFEL5jAj/x13/8TDYcB9ZMoIKaFT46ofOYegeLMNBxrSRzZRRyI3jpa0VfOuuIjqKTZjblsX0aRoWzLV4oTj714TV/6vg9mjj9H8+3JCYUnvdWvBk+/erL8Tjz24czWSsq7dtm7Vh/dq/HdWcH7+oq/45nHAkx8DwMDb9MoeKZ0AA4XQlGo3ALeuVVFETqaZM1ibZYfKgwgMg5oGkJ6qcLMF31TikGnlIQYKZ/vwSEPKhFpZWRtDBqQiz3XXmwXZt3P5gDr9a1YqjZ1C0ndcNPddwV337/L83NLd9w61URvXswkN7sw9ie8MAHACWH9sDAHv29G//n6csnTezf+dLKI/mLxqzH8RbFm5E0ShhR7kACh/Quiaga4DOSKzQTtzikdBDOiUYxigKiVOWlLa/8FZ5dfj5pAs/ccCYdBh82BN+JwcnINT/LweXXETTXFIiYHh+6TVKBUbLNu57uh4zptXjHecsxHFL5t11zNFHfGRoZKy3yLpe61v+qtsbCuCyNbd0Ynxsb++0rgXXlkbpz3NW54fry4+dYtX1go/Y0JgOUxMwNcDSCTQWUQ5pBSMKkeCzimvbr/8e1OUScfoS08GrWsJbk7C6ST6f+ES0TlFHYgFlIhHVF0QQJuO/BSEQVIBxAk79waYHgHiASxg49w+iaRoyHoUQFZhmHheffRK6ut7y8JyOzDcWL5r9XMV2emd1v/HADbxBAQ4AubomANgghNgA4O/Zwsi0T1558vceWdM75+/PPMdMzYVlUGQt33oL+LNmeFxO4RSVUJNKCOciDpDwj6qyyEFnGkcIhbwAmMmiddVNlTCT3lJAZt0oCQ1BRGHkQkeoWftlGuADFwinjqfMlwk5CDwP8IIC9hoj8DhA4CFjWtDzZ3gNjXM3LF1E3n/BWct3CoH1lO7P8+f1197YZ6+03u274bjezOde2t7ZlNPuWHX/Q4X+3TtywitBYxQVh6NiC1Rsf+4ajQG6RqBr/kAQAByHo+IKeJ5/YSgDNEagUf8pwChVpiCMu+/j+ZhKUkSN2oRqgoaaqKHSJ99KK/MPBd+tUQFNE9CY/2LM71aeR1B2KGzHPylGBXRNwND9/bgAyhXqv2wCQjhamix0dbWNLzjqpJGMMX5ptjBjOyGsl2idh/uWHpT2hrXgyTazsxVC8N6eGe1bh4dHjzR1LCNE/GDX9o3uyxvWN27ZOpA3dRubRj1AAHUZCkoJDJ1C13xEeRxwSh4cz7fsGoJqXAxh8oOa5TPZwDSkHDX18xphAVD2l/HcgbdWcITxKBDBLHNMBLo14LgE4xWK8bL/3DB0WeSTwzIcCHD0DWQhBAMz60enz5w7cOQRczRDJ1cUirOeMMy6YQFwss8R9xunHbZw2UPRgmq2fGx8bLB7Rseqhvr8vEcfubvnoove9cW3nnLi2jNWND5LsoUy1bPg3K+aahoE+ZyG9iYdPdMrGLE9DI4BJVvA9SIeTIKqsYwBjEVWP2xKLKpPJ6I5LeX78DyBhPWf5EcJ3xvpcQLPI/4EZSJkKtA0jozpoVgoI5cbw4btNnbtERgeE5goA7YrIARHfUFHYxMt9w4Xn501Z/Haiy6+7Iu/+NXdPZlsYV6+oWPV2Nj4ICGE0zcRuOW1flO3zZt7wZhG/vqXJ7FtRLAKz3/H4hPz+nZsXjEy1M9M3UMxD3Q0lTB92i58/IcZDOzNo6NeoJARqMtQZCwCy6DQNRqWShZCwOOACDh9ONsxVJ4uyzEHZZWZ0knUcskK0P3OFK3jAvC8aHDMGGBoApbJkbUEClkHhZyN1qYx9I2M4mO3NGNG3sSszgxaG020NZuY3tXkzZ7VsbqxAeu39ZWu7N1mecuWL4PruqJ92ozDfYsOaXvTUJRarbt7JhDZV3fvwNC/WpZZ7O/fc8N99z9gDO7d6XV3Wount00saS30YcH03VjZq6PBNJAz/YGcznxwGzoFY/7U5a7H/RcPAroYCaVDGdEn+biaqJAcVEqAq4XuKUToCHI8AtcD3KC+ncYAgEDTCDj30z5Mw4alD+IvL9sYquSweE47io3aXzI5/teOri62+MRT7Xx946cd2x5c1Fl/uG/Ja9re9ABPtqbGBgAYBPBBAFj/wkOAoKcY+sTZnc1Nl37gv43Pt/JZbFj3CjKWA0YcEHjQAr5u6hSMAq5HUCq7GC9xmDoBYxSMUgC+Zfd4NHUKDfRnVUSXBe61AMj+Z3zNm1FA1wUsQ2B0nGCs5FtxSgkY4ShXODxXwNAImGbCMCkyjXORKRZwwZmtLy2dU39HY0G/j3M8/PZzTj3cl/ywtjc9RZlqE14fALxteNTteW79MP/GrXfyI3saZ83tbvnUwMBO1GUNDA70w7MHoTEgn3NRcgZx54P1mNFM0VivI2sxeB4wXvJQsT1QSmDqvuXXtOAVhA3oDDAMwNJ9FaRsU4yMCbieQNYCWooc09vG8Z8Puhgd0pC3fHrU2dGM9vZWGBrHnNkd0MnuGzPa9k1zF11KR51WWnH0jQBWzex4fcRjH+72/50Fr9UIawOAVXJ5d99uGKbRsHNX3+MbXjaRMTVn/rx5H7UM7yxAIGdVsHb9/Rh1GSzLQEujgYY8RcW28eLGMWzp89CQYygWNFBC/dnFCEHFBbgGEJ2AMYFMnYeGfAVb+hgGRjNgTAfTKAyDo615CHpdI85ZtgLFvF/XMWNp95fLpZt1JvQZsxaipbXtYdu2h3IN/wB0WvsHwGu01rZWABgCcDcA7OnvA4B1lHhtQgiusQqe3/A0CBuHaRjIZnRozHVOO2PR9Ucs3Hb+ytWa01aw0N7kA9PQCHSdoGL74QOGTkEI0Nlio7m4F9vLWb0rM+13m9f/9XqRy+mUCRgGQVtTPZYuXoR8TgNAqGlqfUJgU8e09sN9id4Q7R8U5SC28t4HQAhp27R9Xf0vVpmiLZ/FtCYdXIgQ4KUKh675gOeCoKvFRlOxD3c9niP57IJhAdH339+54nD/lDdN+390mgTEBfczSQAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzowNToxMiswMDowMB6AGEQAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6MDU6MTIrMDA6MDBv3aD4AAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 141849000
{'hecke_orbit_code': 13511142513049978, 'n': 1, 'trace_an': 4}
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id: 141849001
{'hecke_orbit_code': 13511142513049978, 'n': 2, 'trace_an': 2}
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id: 141849002
{'hecke_orbit_code': 13511142513049978, 'n': 3, 'trace_an': 0}
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id: 141849003
{'hecke_orbit_code': 13511142513049978, 'n': 4, 'trace_an': -2}
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id: 141849004
{'hecke_orbit_code': 13511142513049978, 'n': 5, 'trace_an': 2}
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id: 141849005
{'hecke_orbit_code': 13511142513049978, 'n': 6, 'trace_an': 0}
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id: 141849006
{'hecke_orbit_code': 13511142513049978, 'n': 7, 'trace_an': 2}
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id: 141849007
{'hecke_orbit_code': 13511142513049978, 'n': 8, 'trace_an': -4}
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id: 141849008
{'hecke_orbit_code': 13511142513049978, 'n': 9, 'trace_an': 0}
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id: 141849009
{'hecke_orbit_code': 13511142513049978, 'n': 10, 'trace_an': 4}
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id: 141849010
{'hecke_orbit_code': 13511142513049978, 'n': 11, 'trace_an': 4}
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id: 141849011
{'hecke_orbit_code': 13511142513049978, 'n': 12, 'trace_an': 0}
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id: 141849012
{'hecke_orbit_code': 13511142513049978, 'n': 13, 'trace_an': 0}
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id: 141849013
{'hecke_orbit_code': 13511142513049978, 'n': 14, 'trace_an': -2}
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id: 141849014
{'hecke_orbit_code': 13511142513049978, 'n': 15, 'trace_an': 0}
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id: 141849015
{'hecke_orbit_code': 13511142513049978, 'n': 16, 'trace_an': -2}
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id: 141849016
{'hecke_orbit_code': 13511142513049978, 'n': 17, 'trace_an': -8}
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id: 141849017
{'hecke_orbit_code': 13511142513049978, 'n': 18, 'trace_an': 0}
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id: 141849018
{'hecke_orbit_code': 13511142513049978, 'n': 19, 'trace_an': 20}
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id: 141849019
{'hecke_orbit_code': 13511142513049978, 'n': 20, 'trace_an': 2}
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id: 141849020
{'hecke_orbit_code': 13511142513049978, 'n': 21, 'trace_an': 0}
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id: 141849021
{'hecke_orbit_code': 13511142513049978, 'n': 22, 'trace_an': -4}
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id: 141849022
{'hecke_orbit_code': 13511142513049978, 'n': 23, 'trace_an': -2}
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