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mf_newforms • Show schema
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{'Nk2': 5808, 'analytic_conductor': 11.594278373489912, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 5, 'char_parity': 1, 'char_values': [1452, 5, [727, 485, 1333], [5, 5, 3]], 'cm_discs': [], 'conrey_index': 493, 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [1, -2, 4, -3, 1]], [7, [1, 3, 19, 7, 1]], [13, [1, 3, 19, 7, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022147553592748, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1452.2.i.g', 'level': 1452, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11], 'level_radical': 66, 'minimal_twist': '132.2.i.a', 'nf_label': '4.0.125.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\zeta_{10}^{2}q^{3}+(1+\\zeta_{10}^{2})q^{5}+(-2+2\\zeta_{10}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1452.2.i', 'trace_display': [0, -1, 3, -7], 'trace_hash': 656259334063519213, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.690', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.094', 'prec': 17}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 5808, 'analytic_conductor': 11.594278373489912, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 5, 'char_parity': 1, 'char_values': [1452, 5, [727, 485, 1333], [5, 5, 3]], 'conrey_index': 493, 'cusp_dim': 912, 'dim': 72, 'eis_dim': 288, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 13], 'hecke_orbit_code': 549789369772, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], 'label': '1452.2.i', 'level': 1452, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11], 'level_radical': 66, 'mf_dim': 1200, 'mf_new_dim': 72, 'num_forms': 17, 'prim_orbit_index': 3, 'relative_dim': 18, 'sturm_bound': 528, 'trace_bound': 7, 'trace_display': [0, 0, 4, -10], 'traces': [72, 0, 0, 0, 4, 0, -10, 0, -18, 0, 0, 0, -6, 0, 10, 0, 10, 0, -8, 0, 16, 0, 28, 0, -12, 0, 0, 0, 12, 0, -12, 0, 0, 0, 20, 0, -10, 0, -8, 0, 28, 0, 8, 0, 4, 0, -18, 0, -16, 0, -12, 0, -14, 0, 0, 0, -24, 0, -26, 0, -14, 0, -10, 0, -52, 0, 52, 0, -6, 0, -36, 0, 12, 0, -8, 0, 0, 0, -10, 0, -18, 0, 2, 0, -30, 0, -8, 0, -28, 0, -38, 0, -24, 0, 14, 0, 2, 0, 0, 0, 42, 0, 16, 0, -18, 0, 36, 0, 32, 0, 120, 0, 44, 0, 38, 0, -6, 0, 30, 0, 0, 0, -12, 0, 76, 0, 4, 0, -32, 0, 16, 0, 76, 0, 10, 0, 70, 0, -2, 0, 18, 0, 0, 0, -16, 0, -4, 0, 66, 0, 0, 0, 0, 0, 20, 0, 68, 0, 38, 0, 24, 0, -56, 0, 0, 0, 20, 0, 8, 0, 2, 0, 18, 0, -60, 0, 24, 0, -40, 0, -58, 0, 4, 0, 76, 0, 0, 0, -4, 0, -64, 0, -32, 0, -46, 0, 0, 0, -80, 0, -56, 0, -32, 0, -64, 0, -2, 0, 0, 0, -52, 0, 18, 0, 36, 0, -14, 0, 40, 0, -416, 0, -18, 0, -22, 0, 32, 0, -56, 0, 0, 0, 80, 0, -42, 0, -24, 0, 90, 0, 80, 0, 0, 0, 56, 0, -14, 0, -30, 0, 6, 0, 0, 0, -24, 0, -10, 0, -62, 0, 12, 0, -76, 0, -288, 0, 34, 0, 44, 0, 0, 0, -32, 0, 0, 0, -36, 0, -2, 0, -16, 0, 0, 0, 52, 0, 92, 0, 18, 0, 20, 0, 20, 0, 16, 0, 0, 0, 22, 0, 54, 0, -4, 0, 2, 0, 76, 0, 16, 0, -36, 0, 22, 0, -10, 0, 118, 0, 0, 0, -56, 0, -32, 0, 46, 0, -12, 0, -104, 0, 120, 0, -10, 0, -18, 0, -24, 0, -28, 0, 0, 0, 30, 0, -4, 0, -8, 0, 10, 0, -8, 0, -120, 0, 18, 0, -46, 0, -44, 0, 74, 0, 0, 0, 44, 0, 60, 0, -22, 0, 2, 0, -16, 0, -108, 0, 80, 0, 54, 0, -44, 0, 2, 0, 0, 0, -2, 0, 18, 0, 12, 0, 8, 0, 20, 0, 0, 0, 96, 0, 14, 0, 66, 0, 4, 0, 0, 0, -8, 0, 18, 0, 32, 0, -116, 0, -40, 0, -108, 0, -72, 0, 22, 0, 80, 0, 66, 0, 0, 0, -66, 0, -100, 0, 4, 0, -34, 0, -8, 0, 64, 0, 0, 0, 142, 0, 54, 0, -4, 0, 0, 0, 20, 0, -2, 0, 44, 0, -12, 0, -36, 0, -324, 0, -50, 0, -102, 0, 64, 0, -20, 0, 0, 0, 88, 0, 26, 0, 46, 0, 34, 0, -4, 0, -536, 0, 98, 0, -28, 0, -6, 0, 84, 0, 0, 0, -16, 0, 52, 0, 14, 0, 20, 0, -76, 0, -240, 0, 130, 0, -64, 0, 16, 0, 56, 0, 0, 0, 62, 0, 156, 0, 24, 0, 44, 0, 188, 0, 160, 0, -26, 0, 214, 0, -68, 0, 24, 0, 0, 0, -34, 0, -12, 0, -76, 0, 6, 0, 36, 0, 192, 0, -98, 0, 50, 0, -18, 0, 134, 0, 0, 0, -42, 0, 40, 0, 10, 0, 20, 0, -116, 0, 28, 0, -226, 0, -280, 0, 8, 0, -214, 0, 0, 0, -12, 0, -168, 0, -142, 0, 28, 0, 108, 0, 808, 0, -28, 0, -60, 0, -34, 0, -18, 0, 0, 0, 8, 0, -16, 0, -54, 0, 24, 0, -104, 0, 940, 0, 66, 0, -16, 0, -120, 0, -116, 0, 0, 0, -66, 0, -350, 0, 48, 0, -112, 0, -112, 0, 44, 0, 118, 0, 64, 0, 46, 0, -294, 0, 0, 0, 76, 0, 150, 0, 42, 0, 12, 0, 48, 0, 228, 0, 28, 0, -106, 0, 0, 0, -8, 0, 0, 0, -26, 0, -28, 0, -104, 0, 80, 0, 20, 0, 68, 0, -100, 0, 64, 0, -62, 0, -168, 0, 0, 0, -114, 0, 118, 0, -2, 0, -98, 0, 92, 0, 56, 0, -364, 0, 16, 0, 30, 0, -102, 0, 0, 0, -2, 0, 36, 0, 68, 0, 24, 0, -32, 0, -788, 0, -18, 0, -290, 0, 0, 0, 228, 0, 0, 0, 42, 0, -112, 0, -38, 0, 112, 0, -28, 0, -4, 0, 64, 0, -34, 0, -20, 0, -130, 0, 0, 0, 46, 0, 172, 0, 30, 0, 14, 0, 148, 0, 40, 0, 156, 0, 214, 0, -8, 0, 128, 0, 0, 0, 12, 0, -144, 0, 76, 0, 18, 0, 28, 0, 36, 0, 44, 0, 248, 0, 128, 0, -18, 0, 0, 0, 78, 0, 156, 0, 76, 0, 26, 0, 0, 0, 868, 0, -144, 0, -58, 0, 16, 0, -14, 0, 0, 0, -44, 0, -114, 0, 24, 0, -180, 0, 20, 0, 96, 0, -16, 0, -82, 0, -60, 0, 88, 0, 0, 0, 28, 0, 44, 0, 42, 0, 14, 0, 76, 0, 280, 0, -38, 0, 84, 0, 26, 0, -52, 0, 0, 0, 50, 0, -88, 0, -50, 0, 90, 0, -100, 0, 776, 0, 128, 0, -80, 0, -68, 0, -32, 0, 0, 0, -82, 0, 404, 0, 48, 0, -56, 0, 156, 0, 16, 0, 106, 0, 34, 0, -8, 0, -50, 0, 0, 0, 38, 0, -198, 0, 86, 0, 28, 0, -156, 0, -316, 0, 16, 0, 98, 0, -16, 0, 12, 0, 0, 0, 54, 0, 48, 0, 6, 0, -70, 0, 32, 0, -116, 0, -96, 0, 176, 0, 8, 0, -194, 0, 0, 0, -178, 0, -50, 0, -14, 0, -84, 0, -172, 0, 76, 0, -32, 0, -216, 0, 88, 0, -14, 0, 0, 0, 12, 0, -12, 0, -110, 0, 76, 0, -140, 0, -396, 0, -40, 0, -240, 0, -8, 0, -20, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45854199
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 1213, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022147553592748, 'target_is_minimal': False, 'target_label': '1452.2.i.g.1213.1', 'target_level': 1452, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45854200
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934631340, 'target_is_minimal': False, 'target_label': '1452.2.a.l.1.1', 'target_level': 1452, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '11.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45854201
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 1237, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518547926222252, 'target_is_minimal': False, 'target_label': '1452.2.i.f.1237.1', 'target_level': 1452, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45854202
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 565, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022147553592748, 'target_is_minimal': False, 'target_label': '1452.2.i.g.565.1', 'target_level': 1452, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '11.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45854203
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 493, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518547926222252, 'target_is_minimal': False, 'target_label': '1452.2.i.f.493.1', 'target_level': 1452, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '11.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45854204
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 493, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044110764, 'target_is_minimal': False, 'target_label': '1452.2.i.c.493.1', 'target_level': 1452, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '11.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 45854205
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 37, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368452, 'target_is_minimal': True, 'target_label': '132.2.i.a.37.1', 'target_level': 132, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '11.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45854206
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 1237, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044110764, 'target_is_minimal': False, 'target_label': '1452.2.i.c.1237.1', 'target_level': 1452, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '11.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 45854207
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562001836, 'target_is_minimal': False, 'target_label': '1452.2.a.m.1.1', 'target_level': 1452, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 45854208
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 25, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368452, 'target_is_minimal': True, 'target_label': '132.2.i.a.25.1', 'target_level': 132, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 45854209
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561193698857220, 'target_is_minimal': False, 'target_label': '4356.2.a.r.1.2', 'target_level': 4356, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '33.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45854210
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 99079191835709700, 'target_is_minimal': False, 'target_label': '4356.2.a.w.1.2', 'target_level': 4356, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '33.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 45854211
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 37, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504218136215948, 'target_is_minimal': False, 'target_label': '396.2.j.b.37.1', 'target_level': 396, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '33.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 45854212
{'conductor': 33, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504218136215948, 'target_is_minimal': False, 'target_label': '396.2.j.b.289.1', 'target_level': 396, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '33.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 45854213
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 433, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36030446319960592, 'target_is_minimal': False, 'target_label': '528.2.y.i.433.1', 'target_level': 528, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '44.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45854214
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385501009584, 'target_is_minimal': False, 'target_label': '5808.2.a.bn.1.1', 'target_level': 5808, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '44.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 45854215
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 189151184383121072, 'target_is_minimal': False, 'target_label': '5808.2.a.bq.1.1', 'target_level': 5808, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '44.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 45854216
{'conductor': 44, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1213, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022147553592748, 'source_is_minimal': False, 'source_label': '1452.2.i.g.1213.1', 'source_level': 1452, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36030446319960592, 'target_is_minimal': False, 'target_label': '528.2.y.i.289.1', 'target_level': 528, 'twist_class_label': '132.2.i.a.25.1', 'twist_class_level': 132, 'twisting_char_label': '44.43', 'twisting_conrey_index': 43, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1961875
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022147553592748, 'p': 2}
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id: 1961876
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 3}
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id: 1961877
{'charpoly_factorization': [[[1, -2, 4, -3, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 5}
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id: 1961878
{'charpoly_factorization': [[[1, 3, 19, 7, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 7}
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id: 1961879
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022147553592748, 'p': 11}
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id: 1961880
{'charpoly_factorization': [[[1, 3, 19, 7, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 13}
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id: 1961881
{'charpoly_factorization': [[[1, 11, 46, -4, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 17}
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id: 1961882
{'charpoly_factorization': [[[1, 11, 46, -4, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 19}
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id: 1961883
{'charpoly_factorization': [[[5, 1], 4]], 'hecke_orbit_code': 27022147553592748, 'p': 23}
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id: 1961884
{'charpoly_factorization': [[[16, -8, 4, -2, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 29}
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id: 1961885
{'charpoly_factorization': [[[361, 133, 24, 2, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 31}
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id: 1961886
{'charpoly_factorization': [[[25, -25, 15, -5, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 37}
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id: 1961887
{'charpoly_factorization': [[[1681, -697, 139, -13, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 41}
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id: 1961888
{'charpoly_factorization': [[[29, -14, 1], 2]], 'hecke_orbit_code': 27022147553592748, 'p': 43}
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id: 1961889
{'charpoly_factorization': [[[10201, -2222, 304, -23, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 47}
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id: 1961890
{'charpoly_factorization': [[[841, 87, 34, 8, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 53}
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id: 1961891
{'charpoly_factorization': [[[22801, -4077, 454, -28, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 59}
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id: 1961892
{'charpoly_factorization': [[[2025, 0, 90, 15, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 61}
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id: 1961893
{'charpoly_factorization': [[[29, 11, 1], 2]], 'hecke_orbit_code': 27022147553592748, 'p': 67}
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id: 1961894
{'charpoly_factorization': [[[6561, -1458, 324, -27, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 71}
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id: 1961895
{'charpoly_factorization': [[[1296, 864, 216, -6, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 73}
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id: 1961896
{'charpoly_factorization': [[[1681, 533, 139, 17, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 79}
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id: 1961897
{'charpoly_factorization': [[[121, 99, 31, -1, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 83}
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id: 1961898
{'charpoly_factorization': [[[-89, -12, 1], 2]], 'hecke_orbit_code': 27022147553592748, 'p': 89}
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id: 1961899
{'charpoly_factorization': [[[44521, 6752, 634, 33, 1], 1]], 'hecke_orbit_code': 27022147553592748, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 7, 'label': '1452.2.i.g', 'level': 1452, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHEhMqDvAFxgAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7P13vGzHWeaLf6tqhY47n5yko3AULcmyLDnnAMbYxjbJwDDEC5cJzIdLGGAGGBgDw1zSYIKxDQZsDLZxQg6SHCRZkpWzTs5xnx079wpVvz+qVuje+9gexvMT5k5/tNS9g7S713rWU8/7vKEE/+fxDXt8+JN3IaXY9MT+45MmNWbrrE/gSx460uGlz5kRt1zVWLzz4ZSts0uzN155yjy2fxuVQLJptkejngotL1sFc25260sAtgArQF8I8Wx/tG/ah/dsv4FvlsfBo2cBLtY63WQQuteP+MhH/4HLtp7moi1LVFTA4ZMfjZfNc3+l313+Nk+Y+NTZgE0zgrg3oLOaBKdOLbznxCmBSAc/fGKiG505t8CWWTg+iJhopP4gOfqpP/jLvb/y9MmPid/71R/5rXOnjvx9JXnsoe7qPmUIQQippH8OOFJtbH22T8k3xeP/UMMFHs8cPI8RlSnfHHlpb/lxlJDxqeXJn+4M5GukMERxwsMPP0qjusKlW1usdBQn5qughyRxwnTTsO9EwNUXp5w5L5meSGjWQw6d8Uh1zFxDcHox5prdmgMnJDMTmiAIqFQ8jpyXrHTh8o0Jl+2cZs+Vz8Hg4ynoRd5te48Mfjc1qf+KF1/DpRdtuxMzXBFy47N9yv5ZPv4PwN1jZWUBA69r1IeXHDna0b/6B3+n3/G6iYu7w40/320fol4JOHriLO32IlHssdyTpCag4huaoWG+nXDgzICtMxUmqwolYuYmAi7boegNQMghp857DCI4vShQBPSHMZfsMGya7iKR1GsRmzd02HdshqWVKvVKSujF9AaaVlcRJQlT03PUG1tR3pCrL7uYx/Yt/ubNl589sv2yH5CRmJRbN6hDwGcnmnPP9in9Z/H4/zzAn3nibqQQL11ejV77xKHFt1158fk9w27Aez66n1uuWWHhvM/xhR7bZhW1EOYmNaeWQ5Q0SKHZMpVyfL5CvWZ46NCQ3lBQCWBxFS6e86hVQzbNJbz0mjZPH5ngob2CZ44nvODqlK2zmnpdsGPTCgsrikoI/aHhkX2zNKqSw/MBm6cHSAGBSjm7pJioJ0hStm6MWVhs0Deal19X5/jyVVQaKS9+zsS+s8sbPxwn8nNCcOfrXvOyZ/sUP6uP/88BvNNZpVqpTJ+dX/ivf/ZXtwUHjj+T/tgbw+cur0zc+MFPn2PThmO88ro6dzw4SV+v8prnetz9WIXd2/t0+z5nlhXDWBB6CVduT9k4PWSpI3ns8ARxIrhs64D5juLa3X0OHPVpDzyiIdx0ZZf9J2s0qxF7T3ncfLkkioe0Bx6PHZNcvyul1fG5ZFtEFEueOCJY7FTYPAV7dnQIPEkUw9lln84w4dItPl96zPDKG7sM+5N8+is9XnbjKtft3sEDB7aw2O899F2vXHx40+x1anb766Nac+Y/pkm0PD018Wxfgv+/Pv7FB5lHjhwj8D3x95+8m1c8f6hk/3PvOnzEv/z+R868+OSxU+rsfIuDx1fZ1GiydabOo4dmeen1yzx3zwSffaDBg4d67NpsOHPeY8sGQ++0ITaGYexzckGycWaIEIbLtg155ohHGPTZvTng3ILPVFNw85Uxjx/UPHG4SS/usHNTxHP8CU4vwmMHqly+M2HHLByeF1TDGITiwCkPQ4w0EdvnDI0qKBHhK59WH7ZvUBw7I7hxT4epWp3bnhQ0J2JecHWTh5823P3wYbZv79xoht6Nz+w9ypmv/EMaNLZf2UrC/e/+wId+8iVXks5tfylGJ2bDph3P9iX63/r4Fwnw1eWzKKnkoN+ufOivfnX4+u/4xZ/Rafr9v/jHR+Nf+t79V1TFRKW7UqEZwKAneeQAfP+ru1xzSYMzSxVufyjkO168ynW7Z/j8owGXbO+xabLBsTMJN+2J2HcyYLIeA5KnjtXYMq1ZWvG45+mUew7CtTsNV26XLHcEdz8jecXVMZN1xUqnwcmzHqttg/IjfuD1Kxw/12S1I7jh8gHXXrKAzxTnFuc4uQBX7tL0I8nRcyFTNY+9pySXb4dOR3L5zkUu2lLh8w8GHFvq89aXauYXp9h7DFrDlOsviRC6yv6jPZ4+vE8dPH/kZY2p3s3/70/Ubkr1c/3hcPhXb3nHz//OU88cDKemJgZJkuhdO/7lOTP/oiRKkmqEFNIky5PtpcO39Afq3QcOHk7ue/DgzGPPnG0+eTxham6RX/ruISbdyuMHqjx2IObAuT6vfUGLF11R5/H9k9z5RMTkTJe3vFDy5L4Gdz/V54rdCdumq2D6CE/gS49DZz02NFNaQ0OjMuT4+ZSnT6Y01BSveV6XldUG9z9juPoiwaU7UtJEcGLBJ001l24TXHVxzP1PC5a7PV59o6RaP8P+Yw2OnZ2iFgo6PZ/ZiYTDZwMCb4iSCqM9tm9a5qqdirseneKhIzFvemmLjfVJ7nqkwqNHe9x83Qrf+ryAQ8fneGy/5vHDMT3Z5Ze+7zxbJjew//gsK/2N7eb0RUu7LrrEG6TqR6+9evd9m2caq2C0EPLZvpTfsMe/GAY/c26J02eXdn350WPbdm9JP7y9+qmJ48c69aNHIR54NKqwedLwxLEpvrz3HG+5ZYXtLY9W16PdD/nw5+vMNNpce5nHIKrz5acMH7unx1tf3KJSafDIQZ8tM11mmgEn5z3a/ZRer099o0+sPabrii1Tkpdc3efRgwmeFIRBQlhLeOiIot7w2TYbMUxg6wxcf/kCrZ7HMJki1h5PHpM8fmAnoaoQBine5JD+ECaafS4C2t2Ak+dTZiZ7zE00+Nz9AU+eiHjzy7psm2xyz+MVnjg64MrdK3zPy1MOHJvi8CnBqfMJZ1spb3hZm6t2VNl7pM7CiuD4mXPNE/cday4PHqC+edvf/97P9lppEL8tUVecGvYXj4XV2Wf7kn5DHt/0ADfGAFz+udu/tCXWwZ9+6Z69l/7q/Xep9/7MKWYbG5idnKU38OgNPPpDTXsA7//cNFtmlrjlMo/eYJZh7NOPatz/TEQUr3DtZRAGNR7Yp/joXS2u3rXKi6+tc/Bkk4XVAdUgYW5Kc9lWxdklxXJL0u6kNKpDwsBn21zE0XM+nuzz5hd6PLzf54qdq0xOtrn1kRrtfsjsRJ1HDgRceXGHmQmfY+cFW+d8KpWYqUqK70mkFDy0d5qJeo9qMOSS7YpAVvnyE4ZabZW3vgwa/iRfeDBg36k+1+5Z5vrdcPLMJvYe8Tl2JubpU4Ybr1nhB18dc2p+M+eWKiyuwHIrYbUHT5/uM9m9v9458dn6+cHr7kx9dbDVMT9ujDkD7P9mz6J+0wK8tbqM53mX7tv31HNare6/O3LkyEu/dO8zPH6ozeKgyp9+ssH/851ttsxV6Q8V/WHAYOjTHxq6Z6rcen+dF1y1xPWXK2AKY3weOzTFX+zv8tZXtLnlipjZyToP7Z3itvsHbJ4dsGenYMOEx+EzPr1BTLcHra7A8wxbZ1NQEikj+j3J2ZUK6CobJiIu2drjnidChiS85UUxaVTj0CnJ3JTH1hmB1gkLKx7twZB+HNDpBmyfHTLTHKCUxPMEcexx+BTMTfW4+dqELVMeB45P8OV9cGa5w43Xdvjul6WcPLOJR/eH7D+e8OiRlFh0eMNNAwb9WU7N1zi3JFlYiVlqJZxalniVAf/2LSvU/JBjhx5WC62ze4Lm1V/sDYM7fb/y+6srq48nSXJwdu6bk9HVs/0G/imPxfOnCAN/18kT+/7fo4f3/ed77rlv1779hxkMIjwlGQ4VTx3z2ba5zQuvjInjgDj10EZhjMBDc+JcwLFFza7NbTZNQS2sUPE9FB6PHVacWx3QbEZcdZHm8m0hnW6FUwuCwIuJjeLMis+ZBU07Eniex8bJhPkVzbGzAVMNicBjw3TMcsdwza4BUtY4u1Tjsq0hB46HnFw0XLlryPyyJE58+pHi8u0xQhg6PcnGyYS56SEbpiN8Ca2eIgzhsm2ClZUGn3+4ysEzA6anW7z8uX1uvjzk8IkNPLY/4OkjCUcWIhqTLX7odV2u2jnB8bOTnDjnc2YhZX4p5sSS4MCC4U0vmueHX5/Q7U0zvzzB/KLhwOGz7N13dFe3F39XFKc7N2zccN9P/ORPrf7+7/3us33p/6cf31Trz7CzH+VV5vqdk//u9PGHrzl9dvjmfftPsNoNWGnDUitmcTVhfsVwdEUwM9viF75zkedfVufomRlOnKtx6rzizPmUE+dijixovFqXt764yxtuCjhxboa9R0MOndLsPRGTygHbN0S84BrNzg2SE+fqnJyXLLc1g0QjJUw1YG4iYbnt0e4qppoRnvCYaqZUwpj794ZcvEkzN5VwdrGKrzSnlzQbpgwXb474yt6QIFDMNECpmNk6rHQFS13BhqZmuhkjJQwjxXLb4/i8x4mFhJ2bBtxyTcK2OQ/SGvuO1jh8yvDM8ZTjS0Ne98IVvuPFQ6pqimNnpzh2xuPM+ZQzizEnFgwHFgzPu2qBn3t7m40TU5xemGR+scL5FZ/FVVhYjlhY7rNl+25kOPWxF7/4eU9etnvr73d7g4Wbr73o2YbC1/34pmFws/oulDreNP3H/ri9cP//1Vo6fmW7tYQQAcYoUiMxRmC0RmCQBo6dq/DQIcGl21pcuVMDPqCQ0sNTklAZzi/67DulGOg+e3a22b1VMzflsWkqIBAhS62Qk+cER88KnjgGx85GLKwMaXVSBrFPJQiYaxi2bogRIqU/9Ni1KcZXhlgL4jRgqS3pD30CTyCMZm5SMzuRstwOafcFg8RnpSfYNKFZamlOzCsqfsCmadg2F7FxZsCGmSGbZoZs22jYsUlxxXafqqpz9ESTrzwV8MiBhCeOx6Sqw7e+qMWbX2CoqhkOHJ/k6BmP0+dTzjlwH1o03HjVAr/8jhW2z05w5vwk51cqLLV8lluS1U5Ku6vpDODA0UX2n2xd8cTBhRcfPXlu17HT5z938yu/I7rntg8/25D4uh7/rBl8eaVFZ2AIPN55z6NHXvCLf/AR+bYXHHrBf3jzaW9xdQNLrQmWVmsstQKWWh5LLVhupSy3YpZWU86twuElwdzsKr/6/Us877IaJ+enOXO+zplFj/klw7nFhFMLKec7CZPTA154TZfn74FAVglVyPxyhbOLHueWBb0hJImmEmjqlZSpiQQNHD+X0O7Czo0+9eoQYwSIgG5fs2PTkKVVD4yVIqtdGCZgMCy3IrZu8On0FUIZhB7SrPjs2DxgtSc4fsYj1R4zTUmjIgh9SBJBbyg5tyw5u2SYX0kIwwH4CTdf2eUFVwnmmlWWVpqcnA85swjziwnzywmnl+HwkuG5Vy7ya9+/wqbJJifOTXNuqcrCSsBiS7K8mrLSjllppyx3DIsdwYk2rC63+f3/MEy++9XVeytzP6qD+p57lUx+IU6qBJXmsw2VCz7+2TL4Bz/0D9z0vOv5+Z/9md/4y7//0n/4sw984ZJ9J1d3HT7TlS+8usvFmzVp6mGMwjj2xkhAAgIhDJ4wBBLOLFV54JDkmt3L7Nk+oFYB35MEviIIPOpVSc2X9Lo++49VuOORgOPnh7STmP0nh2ycWeYNL1zhmks6PHdPi2OLCYs9QS0ccOSModWuc/XFktVByt5jikbN4+njcOkWwyBKGaQBnhcz1YB9J0OUl+LLBM+H/lDyvD09+j3JNZektPspx880uGiTol6LWB0aNkz2WOm2+bsvwmNHU544OmDnliWuvbzN1HTE62/u8B0vMeze1CCNJzl6eoLDp3xOntOcOh9z6nzK4fOCE6sxz7lsgV/9/g4bJyc5eW6a+aUaC6sBSy3JSiul1YlZ7aasdA3LXZjvKVbaCc/bs8hPfPuCrHnsWlo4etFwEN+kKpdVq/Wpz99716d4z/s+8GxDZt3HP0sG/+CH/oHt2zergweP/KfDx8794lcePaZOL0YsRx7nepprds7zuz++wHW7a8wvTbHUqrHcqrDc8llue6x0YKWVstJOWO4kLLbg5IrAqw645aplvvMlERdtqLPabXJ+ucrCcsBiS7DcshJhpaNp9zXtoaE3SJhpxuzYqAFB6BtOnfcRMmTnBsVFWwxbNvSYXxny+MEGN1xqqFVXeOrQNI16RBT5zExp+gO4YseAD3xxksu3JwyHhtkJSZz2aVRCnj42oOrXue6yhCeORMwvBWydCbloM+zYFKFUzKlFCHyDEIadGxOmGpJOP6Tb82n3fJbbiuVVWGppllspi62Ucy1YGqTs2NrlO1+6yC17PCp+k7OLTRZXKiyueiy3BSstzWonZqWTsto1LHXhXEcxv5rwvMvP8ds/vsSl22ost5q0OiGt3iSpuiz1q5t/Y2Z226+1W+fTF73s259t6Kx5/LMC+MEDB6hUKtUzZ07vePixp95+7PjpXz9w6BS9SNLuw2pfcr4nOdOJee7F8/z3H1/m2ournF+ZYmm1xkq7wnLbZ6XtsdKGVkez2klY6SQstw3zLcGZrgHR5c0vavH652ku3lwhimqstCqsdgNaHcVKV9DpCQZDQ5QY0hSUNIQ+VEPDZNOwYTrG8wccPhvx5KEQndR57U0Rnr/Kw3sn2LUZPvNAwouuDjnf6lPxFEkaMz0FSezj+QlLSzVeeH2bz9zX4KLN8NDBIT41XvM8TSL6PHk45eipCp4M2DjlMVUXVENBEAiUgERDFBsGEXR6htWuptPTrPY0S11DP03Zua3H65/f4s0viEA3WFqd4Pxy1erttsdKC1Y7Ka1uwqoD93IPzrYVC+2U5142z2//+Hmu3FllcWWS1U6VVrfCaidgpSUIG1up1Tf+0sate/5+2/ZtJ4aDQf+yyy57tqGUP/7ZAPz4sUPMbZgLDh449IMHDx5810MPPy6WVjqyPzR0B5puX9PuC1b7gvN9ydlOzPMuOc9v/cgS119SYXF1kqXVOivt0J78jsdqR9DqGFrdlNVOQqurWekazncEZ1uaqcker3puh5v3JOzcqGhWfdqdCqEvAUWUSLQWaAO9ASA0U40BB08btIm4/aE6w16VS7YG3HJNj1ivctcjk1x3qc/Bc11aK02ef02Pzz8csnHasPe44f9+U5u9x0I2TkvueERxyxWK5V6bIyenue6yiLue7JMMa9x8ZcDu7QP6SZfbHlaQCg6f8mjWPDwBvb5EG0GqDXECSI0XaFpdQ70Rs33zkBdc0eNVNyTM1CvML0+wtFplpW3PzUpb0OpCq5PQ6ia0uimtnmG5JznXESx2Em66fIHf+JEFrr2owsLqBKudGu1uSLsX0O56dHqKTh9iXdG7L73GXHTx7p+8+OKL/2JxcTHac/nlzzakgH8mAI+jRA6j/hseuu8zl/QGyW/f/8DD/jCCYQS9QUJvkFqQDwydvqDlQH6mlXDzFed5548scMPugNX2BAsrjZxhVrserY6i1YNO19DuJbS7Kd2+ptUzLHQFC12I0yHXXtpn03RKt2d43fOH7NqkSVKJJw1RDHc+XuHE+QqbpxKeOlwBXWPPNsX1l2vCSo+HD/ZYWKxz1a46zckV7nvC58ZLKyz1VllZabJpk+GBvYrvfXmXB/d6bNvgs9htsbI8zfVX9LjvqZTp6iRXXdLlfKvFA89MUvXqPPdyw2U7BiC7PH5UsGE6Zn4h5q7HfQaxQkpItWHX5ohXPT+i01VsmdJcfylEUY3lVo3lVshq16fdU7S6knYX2r2Udjel00tp9zSrPcNyX3K6LWj1h9xy2QK/9sMrPPdSe3O0OlXavZBOz6fd8+j0Fd2+pDsQdPspvX7Cc657bgzez771O95wqF6r/qPn+frZxtaznskcDHpEce/7jx589HfPnj40vby8RKMmUcoGimYkDrYWoBAGKQ1Sejx4YCO/8B6PN92yzHe9fJmLtkacW2oSBlWqYUAt9KlXPTpVSaPvM1H37A3TT9k41PSHhs4gZHmhwqmThijRnD6XEIYGEATK4ElBr68Q+CQ9j+fsEuzeYtixtccw7fDZBxX7Dk3x6htCrr9ihfd/1hCIGru29njiPsXWScVss0dFVYlin/MdqFc8tm0UPLYv4vrLqrzkukX+8tY+gd/glTcZ/LDHFx6I+Mz9dZ45WuXiLTV2bU6Zm4q4aDbm6l0pSmk8ZQBDLQyZmwyJYp9OL+Cpgz7dgUevr+gOJN0+dAeGbs9+9k4/pds3tPuG1T4s9BTzK4baRIufeu0C337LkGsvrnN2sUmrW6HjwG2BregNJL2hoD80RBHEMXz5ngf96emZ391y76blF9zyvJ/udnt/Wa/XnlV8PasAT+MuAn745PF73nlk313Tw36X0PcwRiIQ2AWmALgQIIXtpFHSoGRKICVPHJzj0QN1Dp45z5te0OUFVw6YbDRZbtWotys0+wHdjHUGkv7Aozf0GAwNg0gTxYY4NiSpPaIkwGiQSuB7gkogmGwIphqwaVazbWOP2akWn3sY7n7UR+oJXn2Dz3P2dLjnmZho0OSW5wha/T7nl+rcfJlmdrJH1QsZJIqFdozSgudc5lFrDHlkf4UXXz/B86/t8Mh+BWaCG64M+KFvXebzj0Xc8WCdvScq7JhTbJquMtWoMdGAagi+Z1AStIG9RwVpKogTQZTAMMZ+xmFKf6gZDDW9gaY31HT70B7CQldyvgNDPeAV1y3zhhe0+J5XapKkybnFOu1uhU4/oNv36fYVnb6iNxD0Bhbcg4GmP0wZxJpBpDl87Cxn/+6z04ut9L99+7e82Ftt994z2Xz2QP6sATwaLqGN/qHO+TveuXzm8xuqXoRphvSHGiEtmBEW6EIohBBIiQM3KGXwlMFXmqovWOxV+dAXt/GFR9u86OpV3vGKVa6+qMvMZI2l1Rqdfkiv7ztgK3tEgmEsiRNBktil3tZu2aDS86ASQK2qmW7EbN3QI6HLwdMxf3dXhSMn60yGVW680uPma9o8cKDF7V9pctOlFXZs7vGBLwqUCGk2Yla7Q7QBJWCu2aPdCdBJlTe86Dwf+kyN3fMVXn9Tjyhe4q4nZ4jTCs+7cgOvv7HNpdtbfOGRHk+crPH40YBt05LppqAWCgLf3oRSgBAGbUBrQ5y4mzU2DGN7Iw8i6EfQGQhWhoLlDghvwHWXr/KOV63yoitTZppVVto1Wp0qnV5Id+DT7RcrQW8o6Q+g526cwVDbGygyDCPDMJHMn2rxZx+4Y8Nyj3d+35teYM7OL79388bpf/kAn182KA8x0xFmef7jP5DE/d/uLD8+K02bRq2GEIm7UBnAQQiJEAIhJEp6SJmilHDLs8ZXhtAzVD3BykCx1Jriw3fWuf+pLrdcu8o7XrnKdbtbzKRVkiSkN6jQ7fv0hx5RrIgTSZJKUi3QRtgsqDCEgaZWSQiDiMAfcnppyK0PSQ6dCjh6agqlQ3ZvDrjiIsUNe9qocIEnDzfYOlnjqoth09wKy+0mV2+VJNrwuQdDhj3JZD3hNc8b8I93xZw41+DyS3zOrg54+ojP9o1TXHvRAvc80eG+pwXDKGDPRdPs2R6yZ1uHw2eXOXQaHtxX4+CROjVPEHqSemio+CClXfOMsTdrkkKUQJQKukNBeyBoxxDpBG0GPPfSNu94VZsXXZ2yeTpkMJhgqVWh0w3pDgJ6fY/uQNEbKPpDQX8g6Q9t3+hgmFqPf6gZRIZ+pBkMDf0IBoli6WyL937oSxsOHJv/7YmJevIz/+2O92+oP87P/eRP/8sFOGYApvKiY9FD71Wt/zFdFednpQ4JgxCtY4yxulsIgxQKKbBsLQVKCTyl3LPGUym+Jwg8TeAbQt9QC1ImK4LO0GelPcVH727yxccHbJzq8faXttizfcCg3+WqiwzbNymGsU+aKlJtE0UCg5Qa30s5Pm84ek6w2td88p4apxenMJHPVEWxZcZj5yaPi7fCVbvbaLnIu/+xzvLyBDft8bhqd4svPC4Qic+GKUm9ltCLA6SRYCTKC2gNBPPLgitNjZfe0OHeR6psmQ246app/vW3LvIXn+nw4P463YHP0mqDi7ZUuXxzj+dd1uEtL+5wZnmZT94TstQLOX7W5/TpAF8JpLSrnjaGVEOsDWmimZqJuebKHsNhzJ7tQ9760iEbJhTTjZA4rnB2oUKvH9Ab2lWunwNbWnAPBYMhdiUYpgwizTBKncwzDuTQjwX9WBDjcfBci70fvnf2FTdM/MHLb5mNtzUe/uDP/Oaf8js//+P/8gD+47/yl2ycqYhPfeaPL6qpvZdtqD7D7NYQg0EIkUsDC3CntaWVClJKlJR4SuAp9+wJfC8l8ASBr6n4hmpsqEWGiUrKVFXQiySdqM7RU3V+64PToBNEknDDNT0u2hSRJKCNxhibxJFCIJXA8wP2nwjYe6hCveLRCCSzNcHcjGTDtMeWOcXOzSmX71wlFUv84ceaHD8xyU2X+ezZldJPOnzlyZDJqs/MhGGyEVGrWimktaQ1UCx3DUutlFa3yguvWuWhvT32nVBMNis878pJfuQNS/zRx+GRQ3W6fcNqx2N+ucmm2RobpgbsnBnwM2/r0ay1eOIo7D8p8X2DUgYhNGDsPwaSBHZtSrnl6oQ09omTEGNqDCKfc4sB/aFd0QaRyuVbPxIMhoJBZFl7GNms7HCoGUaaQazd97IDerGgHwk6saAVS7pJiu73OHz02OSei3b9+c7nPDf5bz+36cO//kO/Zyob//2/HID/8u98iKt3bVD6F//yze98//y7n957nJc9Z4r//EMdrtjRdYytnTNiD6V8lDIoqVBKOb0t8T2rOQNfMfQlw0gTRinD2FCNNcNYE0WGZgLDWDNMIEoEg1gyTEPitMK+Q3Ue3wepMVhoW23sSwiUrflohHDVZmhWYaIumWooZiY9NkzDjk1DNs+tEptl/vBjExw+MsH1Fysu3ibZvW2FLz2dML80wQ0XSaaamkrQJ5QhRgmSVCKMIUkjVroV5pd8rt9T5TmXdbjnkQobpwS1SoPrL9P81JuX+IOPa54+3WC1q1ntKBZWPGYn60w1q0w1J2jWYubqMTuvjwj9BN9LUCpFCssYBntTxbHi/IJHnCjiRBHFimHsniPJMJYMI8kgkgwjYQPUSFhdHdnzOoxSoshp+th+fxDBIBYMYug6cK/Eku4wwQx7XHfxCv/ph1a5ac8DtVojff/KMaUXe8/52JkD70u3XPavv/kB/jO/+bfgBeqep06+9eSp83/5lSfOV5J0Ex+7q0OSCn7tx9pcsa2LkhohM6BrlNIo6aOkwVcG31P4nsGPJIEv7EXwBcNAEcUW6HFsiJLUuiJJ6UghSQ1pqkk1Vm9rcnALJ4U8Cb4PoSeohIJaKKnXFBM1ydSEYMN0ws5NPRr1VT52b8RdT06zutjkmh2KnZt9Lt0+IBWrfO7BGnXfY25K0agNePIwPHPE4+rtht5Qce2lMdfsNpw7m7KwEtAf1HjtjR2+/ESfg6cV9aokDJpcfbHm135giTuf7vOPd86y1Dbs3JCy0vKYbCom6j6Nmk+9aqiEmjDQhF6Kp6zUkq610hhswkoLEi1JUkGSCOJEEiWCOJYMY+u8RLEgiq31N4xTolgTlYhjGJcPC+5+bNm7HUlWE+gPI2Tc47pdK/zqjyzxbS9I6fWbtDvHK7Gc/utm/Zl/Vak2PrJ47N3p7K4f/eYGeJKk8vzS6nc9ffDsn+w7cKIyUfVpxR6JlHzqPkUUebz1ZR3e9oouU82EjqyhpHY62+ph3/PwY4/QUwx8yzRDXxIFgigW9uLEijiBKJbWQUgK2y9JNWlq3YXUOKckl0TCSSErewJPEAaSSiipVwXNmmGyodk4PWRuqkNiVvnwlyV/8ZkZNlQqXLNDsGOzz64tmp2bV/jYVwzLyxX2bFJMNaFRi5k/Jjm/EhJcBMNYMDchmZyEg0cNK23NucUKl+6q8PIbOtx6d4WZBoRBgJKTXL1b8KOvP48vz/Ope6Z45nSFje2YDZMJE3VFo6qoVSXV0CMMIPTB86zDJAVIUQI59sZONaSpIElxQIc4NUQJxHFqSSHWRNlzrJ3tmLkyzoJMrN7uxoJ2IuhEhmgYMRG2eftrl3j7S7u86gZDu1OnH1WIkpAoOlAJ/OGfa3+Hp6T/t1ie+eYE+Lve+3GSVP/AZ+9+5r/vP3CyWQs8Em15sysCIin53IMeX3m6ytmVJf7vt/SZbiYMwirtXgVPBfiej+/5BFFK5HsEkZUmUWxT6ZZxhGUix0pJAnEKaWqdBK1twKW1yXo4HbgtwG3gKvA9C5BKCLWKplFNmGwkzE32mZ1a5d59EX99e5X9RyfZNeGzexNs2xSwbSNcvqNNL2nzwN4mVeUzN6WYbMBkY8jUREIQeDZxZaA/DFhux6z2DK1uwvmVgB2bGjx/z3luf7DH/tNNamGMrwKEmGD3VsX3vXKR515+nr++vcEDT02y1PXY0EyYrCXUKpJqRRH6gtCX+L6NVZTCuVIW5Qbbw6o1OdCTVLvVzVmLiSZJLbiTGKLEFEdsXZlBYkmllwE7gcEgQccDZmptfuI7lvmZ7+5SCwNanSqDKCROfKLYRxtBe+V4s9cP/lDVbgyOPvMPf3HRlW/55gP4ykoLpeQP/+n7/uGdK/OnZ7ZOSpJUE6cCT0IgBR3p05eS1aHPf/97n72HV3jDi7u89LoOG2cjOu0q/WFI4CeEgc8w8ggDa+9lAI9jSZTYZTdOnKed4qw/HHNLtKEAt01SOuYGT9mESeAbKoGmWkloVBKmmkM2z7aZb/V41yd9PvfQNMsrdS6ZE+zYINi6IWDbBsFFWwZ4wSofusvjyMk6l22UTDUkE/UUKYecXjCEnkQKMEYQxR47N7R5kJR2T7HSNswvV7lsW4W3vLTFR74QcGw+xPdihPDRpk6cSG64aIWd393mc4/0+MDnpnn4WJ2tU4LZekq9klIJBKEvCHwbq3gKGzhLkddkGOxNpg3WaUkt4DOQJ6mVdBbsEKW21iXKkkeJoJ9AJ5F0EuhHmrQ3ZNtsm5dcv8obX9zjdTdqPFFjZbVCFAf2SDziWJGkiiipMhwuz0xtHvz2nuveovq99nuqtf89NeX/WwDebrfxff9ff+GLd79z/75nNjQrGl85jZeAl4AvDb4QBELSlRVakceHvlThzic6XL+nzXe/ssfrb2oxMxnSH4T0hwGh7xMlPlHs5YFSkijiVJIkkjgVJIkkTQWpFoXW1oJclZgsI2qTRcoliwJfEwYp1TChUR0yO9mlH/f5wpOGv/vSBA88NclU4HP1VsPmacnGmYAtc5JtGyMu3rrCE8f6fPLLc0woj7kJQbMuaNZiWr2Uz3ylQiOw7pA20B96vOGWIZ++39bEtLqa8yse2zY0eNMLujywr8PegwH1MEFJYUGuawwiq/W/7+UtLtt8ng/d2ea+ZyY5sVJlU1MwUTHUAk3F0wQ+eEqgJC5B5nILDuraSTWtixUucUC3BAFxKohTB+xUMEgEvUTQTbExTxRRr/Z406uX+e5Xtrn+spSN0x79fp121wE7dtcr9ojcNYtiRXegWDh4cEPM/e+86tpbdKvVft/ExDce5N9QgC+vrLK42GYYpd//pbu+8ju33fGFmVZrhWooc8vPHuClmWsBlQQ60qfnK061A87cX+P+J7t85JoOb315n9fcMmB6MiAahgzdUhcn9qTFiWWFJHUJm7QAuDaOuXVRU5bZkFbnGzxPE/gpYRBTDSMa1T4pfT7/iOSDX5zkqaMTiDhk15Rh86RhdlIxNx2waVayZS5mx6Y2Jxc6/Ok/1kmGVbZtE0w2PJp1aNZihB/R7teZbBR2aJxIpkNFohM6cUCnl7LSVpxeqHLlxQ1+7NtW+e2/DTm+UMdTsbsxPJKkwiCSbJoJueGSNtdc3OXp46f5uy9Vuf3hSc60qtRDRSOAum8IPIOvwHPnXIjR6joNGG1vulQLUgNJKqx/ngqi1CaJ+qmgn0I/MSRJgo6HzFT6vPYVq7z9FR1edHXMRNUjSuqstEKGUUCceA7cyl0r5QAuGUaKYaRod1s88eidG3zf/M5VVz836bVO/hVqglr9Gzc/8RsK8F6vz9xc84333PvQH33y1juanU4L3/MsWzhdIDOQJwJPGrzU4EtBoDTVVNBTIb3E5/ywwqfur3PXUz2ed0eXf/MdHa7Y0WbDpKJZ89yy55MkBcjTDOBaoo3EGCsJCo/dpfqVsUGslxAGCb6KaPdjFtoxv/+xCkfPT/HI3kmMDpipCjbMGmYnBDNNxcykz8YZyaaZhK1zPWYmV/jco5qHn5nkmm2CqYakUZM0a5p6NUL4Q8LQw1P27xsDaSrpDz36g5hECzp9TadrWG77nFtqcvPlXZ5/5SofuqNCdVnhydgC0ngkaUAU2x7P2ckKz93d5bmXdHnwJWc4viD569snOb9a49RSSKAkdV8QZDJM2sAzJ/JMqmCZPDGCREOsBcMUBglE2kCaQBIj1ZAtU32u2Wmvx41XpDSrHklSp9UJGcYBiQO2XWEzW1ISJcrJSUUUWfcGIUmiFs88/qUZT3l/dNEl169Ew/4nv5GY/IYB/MjhQ2zdskn91d986JJn9h5oDnotwsBDa0NgQCCQwgJbCQtyLwUvFfjKECSGSiqoKUFfCXpeSD/1WYqq3P7wBPc+06ceDvlXr2uxbSZh15Y+N1/VwRO2RUwIK1dsVtLWShtTYm4MQhqUsJ65IQGZ8PRRyUP7PG59oMHTJxpESY2Gp5irGqbrhqmasT5402N6wmNmUrBpOmHLXJ/Ncyvc9dSQd9+6gc2THnNNaNYVzbqgUUuohkPuPaAYRB5+3YLKGEGUSCqe4rrL+tz/5KQtfOqnrLZ9FldD5hen+LHXz3NqcYn7H5vDl4CI0ZADaBhJun2PqUaFyWad51/W4yXX9Pjuly2w76Tm0w9UeGBflQNH6iTCYzhU9GKFyksfyoGnywkYTaINRmt8kTIRRFSIef71XS7aPGDbbMw7XjOkGkjqVZ8oqtHqBG4l9RzhqNxrz8BdPiJX+xM5Kam1YmGxw8MP3ds8c3b+kle99q3q0KFD6SWXXPLPB+D79j1NrdEIHn/s4R8Mff3f+71V6rUA7eohoKgvkcLY1HsKXmoZ3GpygZ8awtRQUYJaKhhqGKQ+/dSnl1bodFJ+50NTmCRm49yAK3cMmJlIeOvL++zYEBHHwultCSXmJvvbUiOk4KN3VnnicB3heRw/U+P0fI1KVTERCibrhmZF06xAoyqYqCmaDcVUw2NmEmYnEzbODNi6oU1qVvnol5v0u3Uu3WZo1hSNmqRR1TQqCb4f8bn7Kwx7En+D7RbNJEq9qnjt8/rc/aimO5R0+yntnsdqx+PcUo0rLmrw1he1eeTpGseXGyipgdjpZZ84VQxjm5jpDjxa3YBGtUa9OuSKbQNuunzAyfMtjp1dxfNTHj/i8ZEv1RDKFq4xPn/QaECDMcRRys6NCW9/eZ/ZZsrlOw0bZyBNfIZRgyTxWWn7JLEiTj0XB1lAZwC3MZF0tT7Wa7dfC2cEFDZlknqcOr1MpRH/94ceeqh32SW7/mL/vmeiy/dc+c8D4MePn+Ts2YXL5udPv+vxxx6WgScQSJLU5JIkkS71nmaHsY5KYnVinBr81GrAUBsqqSFJBZE2RKlgqCXDVBJpn1jDQrfJl57QGFI+8YAd2YDR7siyeM4iE1lFokQqRRJ7SO3he5JGCBfNGeq+phZqaiHUQkG9KmlUrRyaaEimmjAzkTA3NWTLXIeUFX7/Hyrc8+QGds/AVM2xd03SqCbUqhH1Wp9qtUaoJEo6DY6VA3HsM+gL+sOUzlDRHWg6fW1b5uoBp+YneOGVQ37qbfP87kc8TqyGCKExJkanxtluksHQlrE2+h71SkCtWqEW1qiEMY1qxA2XRgR+zI2XJrzjFT08lbgkkEYIMyrKnaTTWiKEJPQVEDAYeiyteLZuJ81iHncksoiBXOFaBu7M2SoSSxbYcWqf0wT3NUSR4YEHHpRKyXehB1/uDwZPfSOw+b8M8Ftv/QT1WlA9dPjwm/fvPyiMEXieRGDZOhUW3KKchndBj5KQKhuxe6ntfUyyiD51UX0W2WtRfK0FkZYkRpJqj1iHpM72Kj/yLKUAT1h70ldQqRoqnqGiUkIfQg8qgaEaCqqBpFaV1CqeBXhdMNnQTDcTZiaHbJjusmXDEu++VfOB2zeyfVIx29A064pGTVGvQa2a0qjGnF3SHD4bUglsgA1ZpZ9gEHlctEmzaXZAexDQHxjH4pLVjkejWqFRm+QdrzjPkbPn+PNPbsWTHgZNqlMSbYgTj2Gk6Ee2KKpXkdQGHtXQpxqmtDo2xgj81CbM/BRP2kYJKW06Pytus6UrtoTTglzQ0q7KUtu4Jk0lWksSXcQ7lomzAD97XXrO2dodib1+GYOnLmeRaIHnKfbtfUoMBsM3b9m28/CnPvWJ/rd92/9aI/P/MsA3THlBp7Pw873O+Z9XIpbKV2gDAlmAOrUlqKnUKClIpbXnvLQAc5q6DJt2IE9tyWf2veJ1USlnvVyRB0plzQ24TJ4NrDyp8SSupgV8JfA9Y31jT1AJJZVAUg0V1YqiUZU0aoaJespkI2G6OWR2qseOjUs8cGDIh+7cwlQlZGND06wJC+6qpF7R1CsJjdqQB/bD4/tqXDJnnO4t0ub9oeLGyw2X7ujz4FOT9IaG/iCl2/ccyH1qlSrVyiTf+eJlHj9wnvv3bgKj0Dq15bCJIYlNXk/SH3rUBoZqRVEJNGHgEwYpoafxvBTfs9lhWwbhro0wIAyCQs8VwbktIdaZI6Uz+7VkxWbAdqAtvs6ypcWRuhU6cfmJzI7MrrXWsLTSl+b4mf8U6yCoVmu/AUTPGsAHg76Mhv1f+cJtf/vTvda5oF718jecSIFMRUmeGHtClE0oqNTY1zoDum2g1Sn56zTLuJks82bQLhOXJSuMMZQy7yMrbpaqzhI6SrqMpaJUtGWzf2GgqISKaiioVQWNqqFZS5moJ0w2hsxM9Nkyt8L9+/v8yl9u5MSpSS6e1UzWoFlV1KuKegXqlZRqJSbwB7QGtljMVwYpi3eWastwcRLQrMb0Ek3P1Vn3BimdnqRVVdQ6IZWwwa5NMb/2gy3+8/slX9m7EYNCG02aapI0IUo0UawYRIp+KKkOFZVAEgaGMFCEnsb3rd/vKWMBrtxq6mSKEGa0Qdel9o0jEeNqWVIH+FQXzxag0j2LAuDZ67QoDcgJTdtMc05kqXE17JpDR04GyMrP/tgPfZ/f6/Z+qVav/ZPT+f9kgBu9hDHd3zh58Av/rr1yrFIJbQ2IlIJUgtKQSrv0KClIVPEhtCzAnaYGnb3WAu3u5Azc1qMFo43tIncloOWDMYBnAa3IwC2ymnJrl3muFc33JGFgBwBVQjuSoRoa6hVNo5bSrMVMNCKmm322zK1y/74e//kvZtl/Ypqd09ZhaVQl9Zq07F011CoptUpMnEb8zR0NpFL40qBEYRNqky3hPt/36hVueziiE4X0HMC7fUWnq2iFHpUgJPSbXL494dd/aIlf/gvBfU9tRBtJqm1aPU5sodkw0gwrttw1DAUVXxAGNrMZeCbP2HpKI5WViVlZcg7wIuUJOBLB5hKs2+IC+QzAbuqAzpNrOHYnX3HT9YCdA9xhQjuAJxpjBHv3H6t88ON3/vu3vPGV4vT59i9s3fBPSwL9kwF+8OAJjNHPf/zRp6pRFKOU52q7IZXuQ5WALlOBloI0Tw9n4M7kh/2ezmslivYrC3Rh6ygyUGcnfux9ZQDPajCyTF7G3p6X1Z1IfF/a+o1AUAntzJNamFKvWnA36xGTzT5zky0e2NfjV943zdPHZ9k2JZipl6RJxaNesfUr1UpCNYzw/SGnl6bwlbCVkq5FKQsy01SSJIrNU4YkiWnHFdcpo+kPUjoDSbWnqAQ+gV/B9ybYsy3h1//1Av/xvXD/MxtIdVb+YIiT1DG5ZhhqKpFkEKhcgvk++J6VaLZOxeBJnEzBVXIW57BMGsa4TLB2rJ7JQ5ccyrLFaVr6vi4kp3bxVFYWkF3vDAe6xOBZ22AcRzz95KPVF9x4yfPl/8KM8n8SwB+6/3Yqflr7+KfuCNLhgFroWZ2rHCNolx5OQWnH6Cq7sIJUWqZOPYoPOQLsTIaYHOgmkyPZ6wu8t6LlzfVwSpGDW0npGiUyeQIVH8JAU60YqqHVz7VqTLMWMVnvMzvV4uGDA375PVM8eXyOLZOKubpmoipoVCS1iqJWFVQr9uawqf6I+/cKuoOAisLdZFaDZ00IqRbEiUe9orj5qg4PPN2kF1uZ0h+m9PqKTqgIA0XgB04/T3LFds1v/sh5fu7P4L69G4i1JNbaNUsXPZjDQBIG2rK3X9TReyo7cDKlkHHSZXnXA3mWFDIZwB3g09x5Yd2VV+f62ow9l76f2saToiAOAl8i0w5fvP3TwXNvennt45/4TO9N3/76//0AP3/2ONOzWycfvO+TfzpZG7y4bxI85QIoskydu3sdkLUpli3L2MVdrpVYn7VLgNY5sIumYJz2zi+GcH340oHbFRmpHOCgXMWg70HgYzuBAldgFaZUnbxoVIdMNPpMNdo8dmjIL79nisePbWDTpMdcTTNRhXpFUK8qalVFLWfvlEqY0KgNuOvxgNVWhampIk2eAUY7bRqnig0zilc8p8tdD2nbRRPpEsglFV9S8T18L8DzqkipuWK74Z0/cp6f+zPDffs3EGuP2FUA2rJXy+RhLPPqwsCTeJ4rwpIC5WXnhvz9ZTdhJlVEVpVGcW3HD1161rr0nK+8o+DWepTF81qYjNR0Zu9Cuxtx8mznxXMnjr/3B97xlh8/fOTY6u6Ld/3vBXi/e5p4eP7neq0j3+WZeSbqPiYv4LF3spJOL7vgURvhdHZ2lxd3fCY/0lyGkLP3SCA5ztwO6VlGLtfeMqugK3R3VjHoKWx9hmfwfdtYXAk0lSClWkmoVWLqlSGN2oDpiRaPHBjy8382y2NHNrJh0mdDLWWiZhy4HXtXJNXQsn8lTKiFEYke0olChJL4GYPnGlw4dnN+cexTDwa2XCCqMJWBfJDSCyyDh4G0NfFetgGt4epdht/+8Xn+nz/R3LdvI7H2GKaCKNWOxQWVWBP6hsC3vaueizs8ZUuElZTu/Liu/Oy5VJiV35jlWGcM3DkJlYipDO4y2NMc/A7oa8ht9G8tHzuPCo5+1933PnZ4GMX/8X8rg/daJ6g2t+/c9/AfX6P0cSabhiRNnY1UVO5lAE4lJR0tSsxtSne6yE9UqssnTJSYoshKmvKambF2OajMllvXoaNcMOV5rjPIFSFl1YMVP3W6OaZaGTLV7DFR73D/3oRfePcsjx7ZyNyEx1w1ZaJiaDhwVyvWTszAXQ1TKkFCsx6x95jhzkfqBFLiK+2CuEJHZst3nCoS7fHSG2IuubjL4RNV5moUfY7DlN7AsbCn8Dw/L1gTwnDVTvjNH13kP/6Z5stPzzGIqzYZlhhqroY79LEg97LVS+e9rVKl+QqnpCgBXJRAzhq9UoDcjAI8r1AsVt4R8JZq0Ud+ljtl2e85+aMhSiRP7D+DvO2ha37rP/3ozv0HTx2//NJt33iAG30QRGVXd+n23/PFmTdW/VVENbSF8WlWV1Cyj0qAz0GtMzki1ixphR1VitzLLskat8Qx9zi4hUGqzBZ0NS/KsbZnCDyN72tCXxMGCZUgoRJG1CpDpid6rHR63P0U/OYHN/HEoVlmHbgnq4ZGVVCviNwrt86LtuwdWIBXwyFRmjLoV6goe5NJIUYq+bJEig00PavlvSHDyNCPRQngmiBICXwP35d2qoBr48uykNdeJPjNH1/hd/424b59M5xpNRnUJZOpoZEYKm7iQOgb5/1nTorJ2TuTKhnA8/fr3nQZ57lCdBfF5NeqVH5bkpQZWHNAm1G2HgU9OcNn5btRImit9KmfXHnj33zynvSlt1zz7x/ee/LYc6/Y/o0F+OfvPYERSzd5w0ffPCcfplGbBZEgpcnTs6mWpchalMAt8ug6kyQW1MItbVnCZlSKlAGeneKyKswugh33kLF30Y1fDAeyZbG+p92YiTQHdxg4cE93WVjp886/qfHJr8yx2J1ibkIyV3HgrljdXXOBZTWU1ELjGNxq70oYARFffCxgJQ6YCRmpx0aMrlBpapsfmqHHy6/vcf/+iE4cMpF3rGuCoa1VDzwLcE8ZlPQR0iZoMLBnu+R3/02bT9/f5zfet5FTi1P0Jz0mA0Ej0dQSCGM7ejlQdqCRnwWaUuRBcPZcDtTLN2YWZ2VAL8jHjGlzU9LmZkyjm8KFKeU3shU8zZ5dUmiYQC/xufuJfbz8hZU3Tyv9NyboH/uGMni726VRq1366BOf+7cLS/fT3CQZRimBn9iOdGnwpCHR2qV1S3LFZcAyQOdaOwe181gxhQ01ztplWUJpKBDk6ebMBVAZwJV9T56X9Xba/s7At++7EsSEQUyj2sfzetz1eMp7P9Pk1ns2EOkmG5qC2YqVJdYCzHxy5Q7hmLvM3jGeN+TeZybpRR6ba9n7GWfwTKpJ4kRR8RXPv6JPoi3A+7GwXetZ5/pQ2+DQc7NhnL0nXPRjEMxOCr7rZV0a4Rne95k+dz8zw7m4Sq8iaSaGumcsyD0Xhyjj4hJX/CazcyiK2nEJkoLFx926XKpkIyoY1+bl7iGK+CrT42PBaRajJTqrSbcMHmtBlAR89s4nuOnqPf/2Bc9/7aPRsHMwCBv/6wAfdg/z+BN3ElQmt5je0Zdsm0iAKgiD72kgQUpFooz1ukdAXpYkBXtnF3hEa5MBvQzskvVQtq+EGZMmWVbOVgza0W6ucdkxt69sLUboxwRBTMWPqNUGBEGPD97u8Vt/tYHDC9P4YYVNDcF0mNIMDfUQ6q7DvhrabGfFJYRs/UrqVgIrTxbbKd0oIFCKQJo8wKT0UbIbO6vdiBKfqj9g02Sf1V6DfizcuDUbK/h+6mw+5exOZQE+Erjaysc3vqjLjVcu8Jt/PeADn5tjOanTC33qvqTp2Rqc0LONJlkzhJclffI5NCLPAmcJoDKpjIqVMtBZdwUuwD0K+CIOcxrcFP65rUESRNr+zwMZ8PCTCXfcefwlw95dW5aWVw8+vu8kz9nz1aXK1wS4MSk33njDruXze999bO+TaFknSlKEsMMv8bJ6E4mW2Qg0Q5pmtQw46ZJlw0QpgCwCTIMoSRIxJk0ycJuCTVz2TZYBLg1K2vkqBXOnDuQJgWclSRgMCf0+x+YT/vzTdT7+5RmOzE/RrPlMV2AqTGmExqXeM3BLB26ZJ4UqTnuHgb1xmvUhH7vX4+DxKhU3gStvF6NAeT7GwVgdHicee3bCt97Y4b2fnaFb82i62SNh5OIGpfE86cbWUQK5X7pYdlXYMSv5he/tcc1Fp/izW6c5cm6C5aRKz/eoK0HNAT2Qxt44zmXKV7/svGb2IVafF5lOs9Ynz4gpK50wa2Op/FpnjG0oEV9JnjgGTzTELslU8QyBCLnt7oNcceXV737eLS963fJK+2tKla8KcGNiwKOzdO+2uPPo7mblNEL4SOn6c4RBansoqUm1RGWFOarQ4HZ6VAF47YBuyuxtRM4CBStktG1GdGAGbPtcrlLUzjXJ2DvF9xLbueMlhOGQwBvSSSPe9eGA9316E6eXJtGqyvSEYjowTASammPuWp6+l65OxUkT553n4A5s9nIYRxw8FdKNQqZC5+JkSafMlciysKZUkxJ7NOseF22LUOGATtSgHwiqsR1oGXjZ+AwrUbzM9RDqAsGrYm6ix4+9scebX3qO9326zZ9/dIbFfp2+V6HiKWqeoKoMYWIsm0srVTxZlDdkWc41TM46cmXcYWGMyTPdXSKyHOQlqzgHuesuSlx5AIAWiqdOdLjt3v27/bC67U2vvv5Yt5tSr194q6mvCnA9PIH0mnO+Jz8cte/zqxUDRCXGtaWUykkSZWw5pTE6Dy5zxtYZc5eAnQNcFMy9/q1WsgNNDuwReZINC1KpBbiX4qmUwI+pBBGBH9EaRNz7hOSDtzf56JdnGKQNgiBgJhBMBpp6YKiFhlpQgLsSSsJQEjppYhNDzplwAA98m/k8etZw98M1otgnrJs1AWZ+XnMNbs9fFCt83+MVN3b40Oe77D9Vp1+xoxmGviFIwI81fqRRSlrfWgqkkMVwHxhZMRMtqYUeGyf7/D/f2eOKHUM+cHuDh/ZOsNCvM1ABvu9R8QRVCWE2YCmzV6Wx+QRBCeSjNSvjxVllRs9X5BKD29kso3o8qy/KKkMzUGsjiDXEWf1L9hmFxyc+/5j/7a+64cOn51efs7TSXfgnM/j++Z1y6fzDN7XOfnTi2q3z1MKAVKu8fNJoK0u0ESg3wDLV0oFZjgBbm9EyTFvfIEp1JaOyZKTwx/boWCbPU8o6L/e0utvgqdQCXKW5HPG8mFY35p6nBH/52Sa3PzLBcquBrFZoVBWTvqEZaGq+oRYYqgGOtS1zV0NJJVBUAkElwFXoaQduTehb/a28IQdOwelWxSZWnL4dTZwU9TO2D9KCPNGSKPLY2BRcur3PkycSerHP0M34DiIs+FQ2WTdL1IAc68wp3Conf1JbH/72V/R5zfNW+MKjHd7/uSYP7W2y1KnRkgHdwCNQgkAKQont4ZR2lzoliptUCVf2uw6Dr61fKd94jEjSDOQZqNOSXEkMOchj93Ve628M6JQKPR55/KMT1+5+/U3XXH7NZ/kqw4O+KsDPzZ8Iz877f/Jrv7da/+UfSHjbKyL63ZDUKLRWdt6IFq4H0r72HLDtLBJBua4Yt4QCowCnWNpGeGFEmpiRAn0rS7TT3BolUzsQP3MzZMxCJ+Guhz0+c0+DT949wfl2HVGp4Dd8mh5M+LaTp+rjZAdUA+EO6UpOne4OBGHG3hnAvYQgSKgEEcbEfPGRkONnq8xOC3ypnY4VRaNvie1MyUJNU0V/6LNzo+AV1/f4+FciurFPPxZUfNuvGrjJUsUqpXK/2s5Rpzivxl2TrFFBW7+9Gg55+8v6vOrGJT7x5Q6fvqfGXU80ON+q0RcB/cDD8xWeELaFUEp8YZzUMihESRqO2ofrkPmIC6azZ6epc83tAJ4BOVkP1Ca1h06gP+RVz1/gB1+xVN8885o/SbonrwD6/ySAP/r4Eywsdjm1f8gXH6vwllesEIaaJPEtwHNJUoC6aPh1ne0at4+ley5fBLC9k+vUBI4ElCVgC6GdHagRDuCelxJ4MZVKzGCYsv80HDuj+Ls7JvjsQ03Or9TBr+A1fWpK0vANDU9T9Q1VHyq+BXfFtzMJbZmpLB3C/dw4kOsc5IFv29MOn9E8eTQE33fLvCml6MUICspBWJpmNdN2nPPVFw25cluXfadr9CuCWiIIY8NQ4aw97dg7c1MyC7LQKrnP7qxIrZWbPuAziHyq1SE/8Nohb7h5ldse7vL3n69x7EyFfadrRKshSegx8DykslN9FeC554zJc+lCEfyveZjCNcpArXGSw0AKuTzJAG3y3tDMT9RgEiCBJCGQEa+8ocfcdJfFxQOTtbkbv6fdNe9t1tevOLwgwIfdEyKK+v/21lvfNfuD3zHPrh0Jy6uCzbMRgUjQkSKKFNptxKrzUQ0FwMvsXZYllMBdvtNzeGeReq75bFJDZsM5hWXsMLSTVJM05dwS3PElj8Onqtz5QJXTK1UOn6lDGKJqHhVPUfcMdU9bF8G3g/Mrvh3XZkGcHdIdygEcp7kduP2U0LfsbW+siKMLsPdYDV+O2oO5RKGoB88dhcxJ0a6vMfG5cmefSzf0eOpIQi/xacSCoQdBYmcCqhLApRQIKUeYHMYtOJEHs1kfZZz6DP2AZjXi+1495EXXtDm90uaLDwYcORly2yM1zixVSPs+WnrEgUJIaVcK15UvcRlPyGULYwtwuaQ50+MZk+eNKsaUAJ2xtbbPOIDHqT1EwtSGiH0nPf7kk4KlzuHJH/ye7k8Ffvy+0sLxdTJ495MEJvmub7l5X/2FNyzxx3/X4Cd/c4rXvnjAnp0xW6cNl+waooxAxwWbp3odkLuAlNIoh9H2siy4NIXPPcLcJSmiUvwwJU4NR04KnjyiuOOBGk8dDXjmaJX2MGQYheAHqKZPqAQ1BTVPUy35wKGX1WlkZbO2Ljx0siQIFEEg3Q1gCu3tpzaz6FudXwlijI6YX5YMTYjnSQJp8Eo22xiB5yBPzWi/Y5T4CDzmpiOkGtCNfXqesE5HXBSMeUqPZCBlZlIDZMOOEDZGypi8NBjJT1U+fqI3DNg0FbFjY8wNFw/pR33+1dEWTx0LuOP+Ck8erXDkRIU4URAqjFQgJKksZYPKyfwxgI+K88wHzp516Xns0CnEGg/N7otitk7HXL4r5nUvHvDMIY//9udT9OJ5jqx8Ds/7n3RR/tt7P8fvf2xRxa0vieWVlMXOJJ/4Qp2lluSux2tMBJod22Ku3hPx6huHvPy6CIxti6rWcZOkJGhBElvA54FkmcHLZ8NYQOPml/ieAWFHKseRoTewjH7slORvbw/pxYrHnqlw6GTIYjdgmAbgBaB8VFMRSEFVQU0ZKgo7zky5wiNlWTvwhU16lMHtSwInS8IAwgDnmtiUue9pAj9xGdGYaiXi/ErKHfc1aHVCpiYEntR5yUCGg/FHbp3lWlwyHCpmZxSvuXnAbQ/1OdGq0/ellSke+InBjzPP2nnsMrV2IeVZJzL/G9p4IyUTaSoJUkXqKRLfjn2IY99aqX5MPYh50dUJz79iyJteMuDAScnje336keIDd9Q4es4HIen1PdJIZeWbGC9bescso3L6dgTgABqRGIR20sRoqvUU39cIo3n59UNefeOAqy6P2bktYcI3zE4aXnqtZNOEYbnbZ3rjl8Wrb75R/eFPfSRpbnrr1wdwAeDNvOt9n6xfe+LsRozAZpRCw0LPsNDRHF0Oue9JzYfvSJmbTjDacP1lEW9/5SDvtZub0Fx3dUS9Yi8mRuQ5MLHOX82G87R6gsef8FhqS6oVyQN7ff7xyxUGsWIQK86eC9DCIzY+WvjgeYjQw5OSQAkq0lBxwA6VIVTG1oB7zvP1CuYOsr7MHNzK9WiKnL0DXxMEWYFWmrN3EMQoFfGlRxUf/0oDFXjWbhvR3xdm8MwLT9PM8VAMBj5vuKXPJ+9t84EvTtBNKtSdDvczHR5nSRmTdwuJYucud25lSeuXAK7daAfPMrnvKRLPw0tSC3SVopQdpD9VSbjl8oSbL48xYshbX9ZjENtxbp/6csiDewOqoWCxrXj8qYB2TzqVJLigKM93nrCtgdc9J2Z2MrWNL6nh7a/sc92lMUbD3LRmetLgucE2JlXEfclEAN/3upQ07ZKYhWvV5OS7gB/7uhj85EKbbbON5q//j09cPsBTQ38KFxpYXaTsnaaNZqg18y3N/KpdZg6cqPGPX7I/N6lhYkpz07URjaqt/103PVm+rZzrsNpVPPRkQLulkJ60M1GMZ5lJeLY9SHogPaSU+FJYMEtDKDWBtEAIFASqmNFnQS6KhgfPNgJkjcdlcFuGd2W1fsbgaelICL0YYyJOLwZEwwrhhCRwaW/lqvJGspiCQpeWrNO8O10rothnqqHYPhsRiAH9JKSfCKqeHYKZ1ZBkCS0ly+WtxfaL9m9Il6vQRfZUa9d8UkijJEld3kC5uewJcZKiYptL8FSKlAnbZrVbMTRX7BgQmT7S07Ragoee9FjtSVSuWEaD6pEr7Yqx6hXN86+NmZjSmMSu7FVlz5197wqdSCJdmBn2vEkMkjSRDBNfVSqDy2d2fG/T6KW2kDNfHeCnzyxyfmHlt+9+7OjL2u0etdBj4EoY8wAg00zKFMEBhsRoWpmmUob2quHsl+qlj7gewMupMXdxhEBnWy7gak6FKoIcKZ2VlYHapZ0lbuPWzDcuPXuuk17htt4jB7dt61IEDtyBR15iahncsbinCVx21PdjwjDm5KLmr2+rgxfYGYuylOAZAd8okWXsmg0JtWCzg3Wi2Ocdr+nzibv6PDPfoJv61BK7Ka2tAizmygiV5QRKwV52LvPUuCwVeGWHzmthPE/hp3Zeiu+ArmSRNLN14+6124FDyhRPGIRJma1pvuWFGkTqZCYgsv0z1rnmeY2RAK3QsZfHaUksiRk1KUasT/f9NLVDPdO0RzB45mXJ4MhvG538xNdk8A//wx1IKYKV+bM0fIiwRVRDIUiN56LfQkMV1VHZxkclraUMqV8C97r4ztgtA/ho8CKkzFvQlABf2LRyKGy1oC/t157E1VS47vGskMijNAcFtzNb0VVfAFzmsiUMTN7SFgS6NDgnwXfsHXgxUkYcPydYaFcQnkcoGZEnsvyxSpe7LB1GgOecjijxmWkO2bmpz75zQ/qpxyCFMLXj7fzE6fCE3FkqUuhqpFMhi+1s4s2Umk4yaaTxUk2qJMrLti9XrlgtRSrtVgpdWLMO5NmWMwI7JUu4OvVsN+r8HQgz8vlz9yy7CUvP406bMWvBnpoyGUh651dY7t1md+/9WgBfPX8SIQQN0acRGLqJXVI8IYidEa9NaQnM8J252SMy5GvJElxXTqmwXggkRYrYTqUCXxh84UDrJED2Ov+eI/uiFJS8wTZQwoJ9BNzSPgcZ0LPg04E76/7xdC5RfM/q0yCISYj59L1V5heq+BOKoFzDUXZQGFOk5dS1EWNBoGIwtBNsX/+CLvc+MaCdVOh5HtVEE7l0upJFQVRWcCaEpugcygLNrGozsw7dTBUDqbJ/09OCRAm8VLpd7GwtT+KAXiTTdJ5gk1KXEm/utSyD29m8+V4xpsTno+ZCls4rO2zlfEk2bSvLpWTWapoohpHPUlvSP7tYrB4XAvi5o59mZqr2wl//oy/e+NC+mFhLBBbcQhj8PM06atxrl4HM7SnWJ+sRXGeXIUsWCLtpt3CJBA9yq025lLGdb1JoXJUBW9r95LNRCGVg53NQFLYfcT2AZwFnpru9TJYYp7dHa8kDPybwI861NI8cqoIX4Dl54pUKlLJsnxhDuGWqUtVdXmwkc088jn2uv2TIzGSf1kqNXqKoKfAT+1mUG56k4jLAsSDP/5Acq9QUrm/S1egrTaoFvhakSpIqTaoEiQN5uXgtK4eQGchLoM5KJgTagdwBOs9Em5JEKyGjZBVnLD4C8BEmpwT0jGQFnqcJ/TYL3ekbl3ndC9/7wdvu+aHvec36AG9Wu6Djb3nNLfPXfeKeNiuDGaq+K0OFNWxtxgA9Un+wDsiFs0/K11u6uzwDegEOkzP4eAmnl9VGuBrwrNTTNhdnnSpWlqi8e6UAdtZ8a9nbaW6PXG9nlqBl7ALcfl6dGCOIufXLIfc+1UCGHoEUdv52XkFYns9SrqMunSNT1OnofAagItWK/sDn5qv6fOuLOvz5rQ2iNKSbSiqpYZjgVq5y1Z92ck6P3VAXYnLQnsxbCTNwp0qilLaMLqUbLaFLpcjlGiBTgHwk25wxebZIl2TqeNlC9pMy2HPgFExeWMvFz6XQNGsJpxeX+NQDG667/IroW9JE37Mug7dWj2G8ydesLPz99+4/doaF7hSxgVoGsgt5uXmKZuzmHAP4eN1CXh2YL2UFGApWN6XdjjN2L5ZnpbKvcQxO3oY1wuKuG8ZXo+C24xTGmNv1bAauvc33soaDpHTERMT8/RebpCZE5dnLcoBZ9DVmzsaIBmesXU9LOx0qzfSlh8Dn7S/v8TefHrKqY/pphX4q8BNyFpfSIBORF51Zu3Bci0oKa1KUQC5IPTfWQTmQewalrVxJlUGltoLRZo/l6F6mbkJtuU4oq1XJm1JyoJv8wq/1V9ar/3ffy52nUQBKYTDCBrsbpxOEOc4gOv+9P/0Dr73ze77t1G2X7tw2CvBjZ1OajcEl7/8ou3//Aw36ukHTt+6EEkVV3CjC+brkyMjbFiUmL8mTHOhj5Zm5Fh/TnBnoy7M9lBKFFncVdyPDbhywPSUKJyW3A23HvW1MNo65iwDTK7F36Ec8ckhy8EwFo3yUlARS443XaZQE+LiLkh3laQSFXy2dS+Cze0vMlRd3+cqBKrEK6CeCigQ/NXjZZgLCdeEkTocjrVwY+ZOixOKiJI2KUR7ZTEhPaQdu186mTAncWS2QcWUCGZOTrx6iBG5ENjHrwux9oUeOq3LW2/1/NbZpehB5zE7U+Nm3zeNNntxd8bqXbJrs3pb9eg7w02dXmahHnDwnSKM6s3VBmE1kzbNxBrHum/h63nbxm7kupbSUs3ZZV3nNd2G7FZJF2O55UYDbBpki7xb3cnDLEYCXh//YbntyYOfZypy5UwLPJnZsV1CMIeYjX6yxtFRFhJ713cs34XgNSunijPQu6lFWHfGmtSKOPWanJW97RYdHDjUZphV6KqCaWi2elbMqiQN3tlZo54ln7hZAKZuc/U0377E8lcoeEqWzFcnkr2W+rXqxM7Vwn9uCWhbNEeMMPta0UqT7LmQd25+vYfbS/zM12lqsqSKQkpoHcX8ZnfbyX88B/j/e8ymUlJxfXGXrpLTbQTMKuK/jXvuqj8z/L+TJ2HMZ0GUWHxkvVjC2LDO4EiUWz+SKRHmjAA88NwDIz7YOdBlOz+DnqXjtXqcjh6ds584zx+HDtzcYygAllctejt6I4xlMcYEzljspJTdFOwZPUo8w9Xjbqwf85Wd7PHGkSqx8elISpNq5RwKZmtJ5Mra9TJTXVu3+1ui+RWUmTzV4pbk1XpqNldBWCuV9m9lcFpHf0MmYHrfXs1wsR4nJM5B//ev+yFY0meXoEltxYpDCA3y60SGWVz5I2S70AI6fPM2ObVtq/+Y//vFFCwuL1EO7NOUp9UxWUFZN68B7THSPXNTS1yPVgqxNaa+VKCIHzvg4ZFli7CzIzKY2eV62yavT3moM3Fn63s8ak7WdGZK3iGU9nYk7YpQfcfC0RycKQHlOnpix8tjxG3f0hI0ONBrzwl03TpH48aj7gsu3DnjiYESqQ/o6oJLamm3PaXAl7EauwjleIgd21hCh8wtRZAQtFrx8sKn9XjYw1dO4DqKsLdG48RLZvHfX3Z8bAEVwmQeeY9d7PXCPOixrFfqF+LNMmMZogtAQNuYuuvy5/662svxve1PTmy3AT58+R2u19eprLpn9ub1PPUlQcWMcDGsi15G/aS7890XpDYy/mfwOxOZzykAogF30MaoSK6qRoZoZyClqpFUJ1Plrl+RROC/cgtsCuBgK5JflSZm9levrDCKWO5r/8Q8NlvoVROhbeVLasSJbZcogvzAzUUwTyObE5AxuHZUk8WjWPH7yLR2+8EiTpWFAJD36UhK4Hspi5INj8HI9vdB5Ga1BO3BrDHLMWRGOwU0epGdgV1I4BreSKM1dFHKZUujwop2wkClZ4Jmdj+L7I/gYPz/rALzAoxg5h1rDage85vafO3Xi4D1J3P8EOAZ//IlnqIQBx48fx1cJSgX5MJby/LmRFM7Xs8KMXeDRwY5jrE2R1rZz8sYlyuhgmhzYUiBVMX5MlUDtSYnnJImXAzzT3DoPKn1P5+D2vaz+YpS9fRUTBBF/90Wfpw9XQfpIKQmz0tiStZnvEe8+5AWrCSnObb5TRUmmJFq6TZ58rt7d440vavOXn62gvZC+DAilyJM+SgriUkA3zuSizORjiZRcqihQxq4Ktg2RfLajcsNUi7ESxSyaYjKt7eMUclSe5M7KCAaKry8oxS9IqGLkvBkXNwwGMercKeLUJ03sxhAegFQeUvkozyP0bXCW6GzwfNZpUbB69hfNBd5YfkFLbonFdVaYb9YMlBnxjPPAUhRsnjPk1wK4LACeJ3oygBs7J9tJEV8VbolfGg5UaG7L3r5np1attDSf+lKDxVYIFeeeiFIwdgGJQrkhoHyh1rPtMstQS3Qq85qLqabi217W45P3DljqhkTKo59KZ08K596IohlbFmyZAduYoutH52yekZjAy5wV5V5L97XbSyk772WQCylK3ffZEE8nTUb0uBiTK2IUK+73RhwTMhu6YOuMvYsscDGdIIo1UikqoUeirCTzDh06xPT01K6v3P/QT3VWF2jWA3v3JnavHO1a+LOLwZhsWaPFyzIkw3j5YmdMPcbgI+w9crJc4mQE2KOzv8sdLna4O6PgznY2yJhblZh7DYNn4yaKkROespnLo8cEB45X0IQI6eXNuUX1YDl+ECVXo/jwa5JipRqMImVfOCpa22AT47FnZ8TuzQOW9lUxaWBZPLUyxSu5OAV7lgu9nODOymjBFcqJUvAJWhZzI8uxjXIz37V0Gxrk16UgoxzcWrhZKpkmF2NSZbRxOT8zGehHMCUczkRpxSsHx9l2MIJhFHD8xCLNmSt/6vIrbnns+LHDxzwlNWky3FQLeY00HZp1n/4wtW8ghUSA1GZ0Sc3O1zpLycgdOfa9UWuwaMYtg3xUnoiSMyFKwWYBaMvguFHAZR+8fLgtrVUZ3CWQu/3qfVcamrG3cl97XoxSMZ/+SoODi1UICnnil6zLkRuWteMi1iy7IxKwlIYu726WldFGHhfPRrz+5h4PPlMD7ZOkVov7qcvupqNSqWDOsiXnQJ6tyvnwJfdautfZZGCZHfbcp27FkMKxus5WWJMTU5HwKb/GJX9ESaaWZApiRJOP0fhIur4YO1FscBXFgn6kmD+zzI5L0tf0+sNNg2F6zMsmjVYrMFGXJNruZ6i1yRlZi/KMiyKyXCNR1tHc5Te+1hYcZfPxAC0DtFgH2DmbK1Fqwi2B280nLLbtYC2wvWJAUD7izdMO5ImVJyqmWov4yn7FJ75Upz8IoObhSYEvRqXJ+Psvf2bWv26j+nvMMiz74nHiMdHweNNLB3z23h4P7A8wdZ9+GhII8htN5X+/0MFlXzkDeTmjYYNPd4Mpy+aptHpcl1g7C+p1tvWJFiX9LUqBbkFSZF87QJQHCJUnBOc5lq8G8LzqcFSeZIM6oxjaXTtbPY41UZziCWxdhSDNByBmf1QKAW7Z0yb7Q+KrBpjjkfG67F1aOkeYe+x1LkVEAWqpSrs3KOFqUwpwFyDPymYNnleMUPbcJkyeGgW6n7O1PZSyAWYQRMRRymfvq/HMiRr4PkIqByo3N6QUXAo5yuLjrlF+wTLWzNyqUiZTm2zbPpl74mnqEUUeV+xIeO0Lujx+rMowCUilT18rgpSx95J54YwxuH02Y+8Fld1sGq0EKpOlUmAUSFPo8XxFlXZ1z6+NLlYNOR6PjMcl5XOSg93kb3O8AypDVFlJlKcUg8nJL4pT+oOY/iDBO7zvI1QrksPH+pxeTIhj6XzFzN0QGJEFvYZ17cKxG0+U/nVh56Ssw8cALscDzGIHgkKalKzCnLEzgBeTU3OJ4pjbMrbJmdrLn4vXvgsuPRUTBhFPHRfcdm+NXj+Auo8UWeUgJXtwnSxm6XOWz1LORm4ZHB0kP5bwKRVgRbFPoxHx2luGfPKuAY8fCcELGGhJ4LS40nYn6bI0ECm5PCAdyyCqwsnxFIV0kZbNs1UlC/K1sWDP9mFSUiB02U1x11wXzD6e41gf4OurgHGQl1k8n2UpsoYWw+7thnsfvI/b7nkSJVO83//7eTxPsLSsaS0Zdm2wNdPlZtkyYC9o54xr7zUfQozcweuyuCyBvay5c5BbvV3OZirlKgxdRaFt53KvvfJ88DFwu8PPptC6An9PJfbwYnw/JjEpt95T5e6nqlDxQNqGZr9UwjtSGls+yl9c4KKNTmMVpXEg1lFJtRwB+nDg85Kre7z+hT2ePl4hSXyMUPSFh5+SvyeRFixevIX1mbwsP5VyAZy0bG6/Fkgtch2e+/0Zo2errWPwfGjnGLjHA05K3y9YvMDQV3MOyyuQwJJa4Gku3zHkKk7SHkpbdr20UMcgEDpmuj4YKZ7KdLEF9tcwKku34BppkgPbflOWAV5q6yrvLDAC7BGpUk7Tlw63Y0EB9NLhFZugZoD2S6DOnBPrmNhnpWICP+axY5IPf7EBBCB9hFB5F5EaK0Qrr0KidJeL/NKVMnWlQrXycptrcCPQqW3d065FK0vfG+Px9pf3ueO+AQ8dtpMEYq3opcIVfDnQpZkdV6oDGYGIXT1QowaCUyzuJjRo6fbzyYLiTHtLx+ZWyRbXUJcGdsrSzT+SADOjuCgx91eJy9fFXZk4VzohG2crzE0qW3JwxTY7Hak/TOl0su32CttnDSVfCNelm0KU3u24zioi6nV2EhCOpYWwJybTdhlzZIFcGeSuNa3YbMo4sGcD8Atwj7B26TlrrM2kilIJvp8Qpwl3PlDlyUNV8H2QNrgMhClNji0HVqObOI2S9yi0TOlF3gAx4u+Wgs1UopVzVFKPYeRz1e4BL7nJsng/tSw+FAEDDV4qisAvzexCR3Vp6SYrSc411qUEowzSCNt66yYEC2MlqzSikCqloLJgb3dddfnGL811H8uDjAJ81H/+aoDP/laKbcpOOz7tfhUhfTAGr1FTbkRXShKJAmyZnrrAXxDlf48J8Iyt8lrokYsuRmRJ2TEZ3SNmrP5EkO+9k+9enDXfjjQ8FFuXKDUG7tJQ/Nw9USnKKwHcSZTAizl4VvD+zzYYxj7UfCdPyFvTVHmXYFG6UCNBxwWukBkFelmmlDcH0GY9Le5RDyXf/9oet95dZ/9pe/OlWtFLla0yTF3yBxtAidSN5Sixd/aqLFXAsnF2w0mn0aU2GGmvkZHCAlyLIlbKmFwXK/94gFneq2h0ZR91UMoE+dX4Nfv/GOH2+jHCduALacFiNN5NL33jxqOHD/7ik4/en2cER+6ycQCP31Vl7STKb0aMAjr7+Qhbr/N1DvKCrceLrGSp9kPl7F0CtsyCy1FwZ7P9Cr3tXktdaG8XXEYm4WNfrPPYwapt9xEeStjMpedqsMvNxWWZUr6hv+pjRIMXVmE+GkHbmesjE7C0RGuPaOBz/aV93vLyLn/wwYC+9kB7xELS1zZGkNpp8LSQhYw5KybXI873NfZzGWVXFWXAOO/bmAL8GbilcWRkRlexTLKUpZseX93yVV6sy+Sj2DMjX2cmiCD7/xarRSUYctNNe35x9+5dP+otnD0x2e+2XzcYRkw0ghGA83UDvHghSm9sPLjkQqAuZzHHWXukDtyMaO8c6CVJokraW+U7PZQ2olJmTJJklYJpDm7fizlwRvKhL9Sw81cse+ed+9nfF4yMF5alz10ONEX5i1yWjOleXa4NKeYK2sDTAdtIdKpIldPiqcd3vqLHx++ssfeUDzLCCMkg9fFw9SLZuU4dPadZ4idj7pJ0Msa1INrZWNl7k+4mlAaksbIlA7E09m8Y7fxxbeWNHlmdR8E+7qiV8TKa3bwwvsw6vyOFDZLTJKLV6r3u2LH5Sa8RJgyrmom6HXojSn/lQgQ0DnhR+uYab/NryZKyjpWjr0dYXJhScFl6nTO2yVlcjYHbTmTV7tnagUppVOZ3qwQlE5Rj8FQl/OM9dfYeLLS3FNJ633kHDeteQHuiRyXZ+LkcKVrL9DclNi/NVM/KaD0tbG2KLFL4UexxxSVD3vDCLoc/FBKlCoRHKjz6QuClzr4jC3QzR0WU3oUpQuDcChYoU2TyjCyxeXYIU6T4BWhpga8zmSLLzD3upqwPdtZ7/iq4W4tLgUihP5CcXYB+bPCadZ9o6DFR95HKcxsFmUIbrsfcYr3XpTtsDNQw/gHXJgLWb24YZe3s64y1M7BnzJ0DXZWZvNDdKgsiZUmayGJovlIpvh9z5Kzijz/WZCB9sglaRde8W0HKNdBlSbLelVnnkXu4eZrcnuyRmeq6rMHFSH1Kqj2S1CdME37izV3+4c4ah894oGInVXz6QqAyeeL0eB5sjoE88+YN4GU3nPueNFl/gHGsnXnieoTNjfs7WgqEKVaPtWaCA36Jfcvgv5BMuRDAy6ugNjCMoN2TeKHAa9YgHgqa9Wxkgd1D3OjRwGPdu6gM7jVvcjSRk792VW7rMWAZ2GKMtbNEyii4dSFR5CiDeyP+dqazy/q7dEjL4r4X0Y40f/7JJqfPh6A8Zw1KJ0/MiO+dvy5/9hGWGt0+cN2LQ0mq5I0H5R7NLIUv8yNvhpCKNPHYOjfkR97Y4TffH9CK7dQjYyRDraxtmGbvw0AqKGzDAuTFv+1PlEOOm99UPMvC8ZHSFAxuStfOFMHfuPZea6WOyZMyhtbB3DjIR+c8QpIYur2Udi/BC1M837PjyWoVO47AxMKOIRQllhmj8LL2yeA9EiCMg7oE7nEwjDN3BuyCtU0p2DR5YJk1vmb+d87knnaMrnNpYuWILkmVjLGT/NlTMV4Y89FbQ979kSZD7Vt5IlQuT/Km4jFLbER356vXOkywDvNkuCqswjLos5S9cdszlkppnauSaI+Kl/Bjb+1y4HjA+/7RanFQpEIy0LZ3U6bkDF4UYGUXrkjdl+1KC+pCshjj2FwUhWKWdIy1D0cSP1bG5HXpDg+6THIjEkVQZvMy8EcUwwXYW2tIU0MU21qUKNIkicGrVSOSKKZR1SRd+0etphIjbWoj//MxkOdvsPTmpBh9g2u0aokJC71mxiSKKQWZbovu8paBqih2UkqXpEoG5hKTy6I6MNfd+bOdNbi8Av/whRorwwzcFuC+tNrbE6PyZGTVyeyy9S5I6eSNpJhLF4iSg1LIE4qtF/VYnbiUKK3Q2iNJPSaClDe/ssfH76mx1FEgY9CKGKvHx6sLR8FyYSa3eaAiKZTVp2TBpnEsngPa+eTarL3mMiuVNXY10bI0QL803m0ESyWsrXc+s/eocxY3dAcp3UFKNUrxlgcd2v0+nb4miu2dAKU/KEofdx1JMg7q8p2XvcH1tHYeaMhRHTuyfV25xiMPLMsNBqNBZTacpgB3OhJgZkFmts+NV2Jvv5Zw65cqPPBkFV3S3rapIZMno/UmeWsWrF1iy+x0QRJ37FmyCsvbYJebIUw56DQSZQpfPEl9PJ3w/KsjvvV5Pf760wGoCITECMFQeygh7BYkWaApClCPyxVKPrjKeiQy+zCrnZGlQjFpZ7wUzF2SKbK43jojMfcNWVpExslwvVhvXdvavW2BJcrAl9RrgvrEkPpEH+/UecnCPOw7ljA9meIpadkIkVfGjdw4Yxdt5Hti9PWIsyDLzF6agTIuTcbZW4wCu3BR3NfK4LkRY1I6x0Qap6tLkiRzTGRJokjrnoR+zOETkvff2uBcJ7D7XUs76F0Jih0bxuKFNbq7nMi4ANuMMA+MBPPrNSOXg00z0nVv98+xz3b7k431lB/41i73PBlyeF6CiAGFRjIQsrSJFJTLaEX5go704rp/59lMdx3KbC7s6wzMxlggZ9fV/qyQKVKAdq/1WGtdFqQXw4LEGNjd901xSxY3hM3CVwPBxmnF7q3QnErxuq0q3XaPXt/QqOm8/iMDX7FsrA/q9TzN9bxO+z0zorkLmVKqfMvrq9cy9xqQ5zOyx1+nufbOEzrZOGCV2CozZwsGQcww1fzp3zW5+5Gq7W2TntXeUtquHVHMX8nfa7ayjDHQOJOXcV7G+toMZuFaFHu8l8tny2W0tt1MZ45Kqkmkh0o8XnJDxI++vc2v/GnAMJG2EVVLEueqSC1K782MrNb2jdmWNErvz35dHtHnuutdEsgGmFmRlo2PjLMMy00PmfwdWeHWdB6tw+jl5xIW8ypX6f6GtDMm61XFVLXKRKWBVws96lWPWlUVhU2iGJU2YoGxFtTjkmTtmxwvuCmDuzzYZ3S2Rx5UCtw0JYrO7jEGV465swmoI8FlLkusW2IHSiY5g/tBwhcf8vn43TWGkQ9VL9feOXvnge3azOW4/VVeVu2xftPxSOsfpTLQEXCDUVmV4WiteKolUst8891sJ7VqLeHNL+lz+9197nhIWdsQCUISC48+xbUg88ZLcsXuNjOqye1RqkuR9msjQLnPZ2WLrVExwgK/TG5GCMfcpWBXXhg39rXJ7eeCaItVJz/3Lto1ro+425e0uwHSD/GkKxyqBJLQV3mz7rrjf9e5q8Z1N2Vgr6O/WYexy7JECBeVy5JjkenffD91lyrPkzvZJFSdv85ZOztUAW7PgTvwY1a7hlvvqbH/bMVKE2FLYkWmvQWlCVJmDbjzFSk/B6IE9K+iTzJwG3LLaqR8tixVxhI/4/XiUiqkTpHaIx56XLYp5ltf1OWBvQGtyKVftdXjEYpsHwi7T8J4S1ux5hhscie/Id0W7kUzRMbmTqpg5YdtkBE5cZkSi4PIf8fq9Ey+OI29zpbh65HruELI2tmIXSubmxrmNeseSWRnb1TC0QRMWWqsWSLGvuYCoC7YfWz2oISRgTElJi8zeAHuzAcvgkuZA7gEcjkWUGaJnLKLIm2nvCblrz5d5d0fa2CEZ33vEfam0N5ynfc9ttzm5yIPhy6A8ZIsGWHJEf1djO0Yb2XLtmzUWqNTu9t0mtpdGeLURyrNj72px6EzPu/+uEecFCDXCIZConQ2SMKBu9zaloNaFJGgLMFfmGJ0g/u+EZk37v4zYZybUoyYMCV9bUryRYCdxlViZowjClOaoTJmfgj3XgQ2yLV2qmSgNe0O+AF4lQBqFUGzYeWn+29GLs6F7yAzeqdRMD+UXIY1jGdGGLs86iDzuDNmL2biOe97zDGRGbjVuDwZ3bNeub1nrAaP8YOYQ+ckH7+zTrfrQ1WtZe+85rsUE4giwVOOTcZfjwRIX5PBS6CHkhYXI+6JcU0HOdBlBnSJllaLS+kRxymNesKbXtrjs1+ucuisSyrYAdWkQtBHFNpXO3CbAuwmB7VzSyjViOeSpNTpLqz+tjPeRa61R4AuCwcnwwHua2HGZMcYtjI5tR7hIkBoyPbcjOOEdi8hrCZ4c9MegZCsTmji1JCk5FODSvd3vmiN6qEye5eBvN5YthK7jyz1pQEyIgsy7RCZcnBZTuxIUR7MnjknemS7DVmSJVI6x8QxueclDGPN7ffX+cKjrlpQ+hbgY+yd2ZZKiFFplX+20fRzhnDxtZA9SuijQC8dWrvsYeakuK1IrO7WhUzRklRIVCrRQhEPPV55XcQrn9/n5Gd8htrqcFcJRYLHQGArDvNrK3IDO0v9qPxqZ46KvVfsBJGsMV0UZG/sNTXCBZ5loBuRv9aiVIuUgzuLV8oTsey/cnBn1mKGfAMmn73ofPBewiCSxNrHu3jXptWzQfezi/Pq25dbdiqp1mbkxI/cKWN3z0h5KOswNhbAlD5oAeYioCzPll7D2jnQi10GRp2TUf2t8vR7WnqdIKXt1JFBwl0PBfzWX0yQGq9wTqRCCGn3ARJFWn6Uwcvxw/rs/XUkMQtkZwzIuEwxI3JFk029csVYonBUck0urTcutEeSaIIg5ed/sM3+Ux53PSjRgXCQtR8g1oo+ZUFlSrJkHU2ee+Futc3eryMsaxm6+0i43n0H5KxOJfs9cIFoToxjHfelZM9a5i7eb1YgBvbejBNNlPrg1T87s2Hbqrri8m3d02eWDg+G8keTNC3NIBnzfce0eVHWWkqlZ78ni++p0td5ml2STystKgMzwJYtwFIipxRQ5gVVFwB3Wap4Iwkd22t5alnwW++f4J5H63ZTHmnb0ZA+nhRUJYQSt8nVaHPx2sN1QOVDckaHESnX7iXVWMN06ZwWX4vSTT+W1S2TQWkOoBiXeuWfGZidSQg9wwNPBKz2S86BCzOzKeJFxWHGmCORROlu/VpL09hODCNxhhi5ZfL5gmtu+mLzrOLmKpGBMaUjmwpm8r83PVmj1135gUMH9u73FldtLK2EphrYMQvGlUxqvX41YX4nlQLI7A7LO1ygVHtSyI/y74zIlZFtMdZKEzmmubOv1z1UObB0pbDudRqkvP+TE3ziS3VMRYFQFp3CQ0g50m9Z9Dd+lY75/DyUI/K1J02MXUMz9vUaQIx12493+Gg3P9A45jZGFzUqQiK1IhUesp/y5pf1eeaIz2+/xyMKk5KuFBjtM0QUdpsQtq0ty1TmoDROltgb2WSrvKAINoUNNiWWpbPVPZ/QIIsAUzrZkUkY486hdIXoRRA5lggaXwQd0N3bQUlo1CSNuiJNBd7sZLY0OW0rLbAT7YKFsYKrUTuwvKSUZUbpa8iHMcrS7xTOiVnzegTsmd8tHMBL2nuEwWVaclLK4E6RpdqTOx4M+YvP1Bmkbgq+yKxBl7UUZkR7r5uaLwN95POPyZWRC7I+8xmHgMx7XpPRxKwpoTWylNmUJWdFKOskSFecJTWp9gh9zQ++vst9jwfc8ah0EkFmGhFtPIbatqPlFVR6TKaUEkAGO2AoB30Z5BKMznS4qw8XWVazUAMmO5dmtBHZmDHiMMVNILLYMH9bJneZ0tSB3BhWOwlRYqW2t3NTz97JaUwURwwij2EkbVVhZgeJ8mUyay+mGLcHzTrfXwvsEYCX7cEyuEWxs5dao8P1qAc+zt4yLQJML6Y3hN947wRHTocYr9gteUR7ZxJpBNhjgGYdMOcQFqN4/iqCvGwT5sxe0uNF8VVZj6+tTdHSVRzKMosrRKoRwkNGmou3xvzSD7W472dDOgP3YbTM31eKxyDzklkLcgtc99qQOyzKBZQZsDNHRTgQ59q8RAJloAtXoDX6s3FHxQWXWe+mGT2HWkOSwjA29IeabpQQhHY6m7dli0BKxXDQo9Nexe9PEifByHWxjD3K1iM1JYy/qZIezKTKGtAXgBbCXECi6JIPXgK2A32evBlJ5pR253Wet+fFJCn80UcbPLqvYj1vmTF34Zz4YlSWKDHK2qIM9jHmzq5Ceejmeny9hsnHnJOiAYKimMk4n3e82lBYBs+DTi0tyFPbeKuFa3ETHlJrrt8T85Pf0eL3/m6SKHUsDnlUmKIY6kyLr8PkbulWomRCCLtBrymzeda6lskRlyCS2EpCs4bRTV6cVQb0KFmKwqofV4Lupu/0YXmgmZusE0xMYJIE71z6XTSqEzy09wGO7vsIr7phgiSRJKnVfFkYIBhj6Dz9XgZAyR3JIugsZYsZKagSY4AWwlxAoozuz1iwd1p44eWkzsjhAstKyufvD3nfRxu0+r71AJ3njVAIIZxzUmQty6W8ZR1ejGZbZwbhSFgm8q/HL8Y4a6/B+wjQC5CPsrabCptJknISSFgbMZUKabStV0kUzYrmh9/a4+GnQ27/ioJa4uwO9w6lINGSAVlMUYDcYEtjyW1L63m7WBWtrYQxWCbPpEkmX0RJlkgXNIoxoJdX9gzQo9ZzloEtLZTCjQ7R9mZ79c0L/Oj3vZBtO57PYNDCq1dqTDUqJHGDh56aZuNEhWogcxCPT06VY3p65E2NMXX+O5RrTUpbXggz6oPnwNYF0KVxW0eXwV4wtyxpbpnvq24DSykTpJew75jHH3+4yaGlwE4Gcn63fZYFe5fcoBGQrydPRqTJWLHQWjUyuhyWEjs5yMd0d1FlWCpLHffIzTqFWEbnm8qKTKoIg5AeMjbsnk74ibd1OHbO4+BpgfHKAkuA9O0w+fKbLTO5yIBdaHCJPV84OZtJE0SJxddIF3cLjYC4XIzl8EOZ0W1BVXbe8lFxrkx2bkby/EsaTARNdFxHao3nefb9T9UFzVBydkEwMyGoVuz+NdLLb+6xYPDrAHZZa49o7zF5UgK3yFh5hM1L8kRp9/V4Mke7KkErTaRMCMKEcy3Bb7ynyce/WMP4qkjHO2myHnur0g241jkZDbTHkzplRi9lyEYAv8YWM2u/t7YmpazDM0CXA1CZp6q1O6daZ1JFoVNNgsaX1lVpDSU/97uK+VUBYQmJRmDwciYv5Im70bJnp8mVxDoq5UBTCJu6L4E2A3chXUoBe1mDl6SgyfFSNJNoFwRnN5SU4PuSaqCYmfRod5usdELqM3byrGxWFFPN8Fyzpm7btnmGwTAhSuw4Wu18obIWyjtopCt+UmUb78LHiM2XOyPlhI0ZdUjylLwDtfO1pVzreZctQSktuH0vIULzj/dW+fyDNVdrklmC0jF4xt7FrsHleYPlwHlNWWxJi1P62Thz5+Af1yJjcmXNnEIr6orArdRGljkoZT2e6izxU0rtG4k2yn3Pvk4SD2Ekr37egDe8oEcgEkgS0KXDJBijSQwMNAy1INIQa0FiIHHFTNmRuq9TU96K0O1WYdz3TbGbW75lYepeG0Oa96KOb2mI+1m5EcTkCUg7p1Lg+9LmPMJZ+gP/tkTXzg2jAPWH/+MP2H3F81ajxKxGcfw97dUlmg3f7URmk3zF5NZykqZU6Tf2nI1zyMtdSx3wIzXdar2boKSzy8mcknMix8AtZZGxlNLOOUml5pN3V/kvfzbB0XOha2IoEjpIDyEFoYSKtIPsPTcGzsvf2/hwoUyyFYP58ym3AqSU5NuqiNEh/XZSlxxN3GRO3fhRDmjLcUtJp+bujjTOPy7lHsaD/XKcIABtmG6mXHFJwsnzioMnPJvwye/G7LXMrb5i/EXxO+UJK2tMalF+IdbEHGbs9ciNXmKJ0YQPOcNkny/bDzXwJaGfctkl25ibbfyHpfOH7r/0yhfZPXoaFUMQaCZrgn5dEfpurrZr5B1vNihX/JV31ZJZje+47hZmRLIUOrzsgesRSTKqv8saPKstGQW31dyuUtBPObooed/H6uw/HEJD5ZLEJnas9s6kSd5nuUaKsX7HfCnYzC+5GA0oxbpMXrgo6waXuD18RxI+hYsi8yrE0fS9FKC13XU488ZFxuyunkAIjRYKYQyp9oiHhj27Y37wzR0efDLg2EJpqcqDTjBakSAZCBtc4ka4GW1AgtJWl9tyWueoCPveVFmeCOHqxc06MsSdmZJBkfnheaBKUf+Ci3kswxuSxBBFmhaGc4uGsK6JIrdHD8Bzr7+CMKwyURekg1NUQo3vjw2yzFhbFAmQ3AkpAXut/i6CynIaufjvitdla7AINrOtowudLR3IZeaWCHc49l7uCP7gb5rc+WilqBLMMpYO3Eridiguj0EubE8lyiy41hZcD/jjFvjXymqXg8syrY3UpZRAbh0Kq2+1mw1oRAn8pUynLWgyCG3PvxbKNRxIBAotNGlP87Lrhvybd7T59fdOstIv3BRX3O1ALkhcQ4FxzzjtbRzwDSAd6A12lDLClACeeeSuHMEBfaTLx4wGoxnQZfa3RfnM2fUjSQE02hiiGGrNrWzbeRX9Xj+7R2Hjxk3svuSy26Ve/K3NGzxqFU0lsPu352PPSoN1LPB13guZD90Z0d2jels5H3tUchQaW+UauwB22eOWOWPrAtg50BPneycMhOFPP1bnPR9t0Il9q7Ey5nauiRB2zHDmnIwUVRWr4Jrs5QhTj4PZnfjyuIivge/R5bnMziWAj7gtJbuwcFHKFuL4ZFpbTmtKu0VorVxHkNXjDQ9+9K0dfuzNHao6AZ2CyZ7jQpNrQ2JgqCHSEGlhtbgp9Lg2xe58hQ5n7ZEWGn1EtxuK/z51h6sQtIdN6NjDkKSGKDEMYzsLpR97HD4+/1uXXnrp7XMbNhYAn9uwmbs/8+u9un/26NyUoRambjNUXdr2wwK96HUsBuyUAS1LQaKXVf2tYenCEcnAa5l6LahzQDs5IvNETgH0DOTG0zxzOOBvb6/Rjt0GmWTAznxvu4OFL8pBZVHhmMUN62YqyzqWgrXXpObFOLi/OtSLdrUxyzALNE2xl2VxE5SaknNQy9Gv81ETwlmHqgRyZeVHrGh4hu9+dZcrLh0i0yLQLMCefW1INAwd0GMjiDUW5CYLOkUp+HRAHg8cS0BPUhcgu9/RJcAnOvud7KYwI9+LEzvoJ04M/UjTHUr2HVk8+kM/9V96W7duLiQKwCVXvxHfr7Dv6XtZWHqEIBDFvL8R/a3XtQOLhE+hq60WH690Kz2LkhTJPfFCjghhSkyeIjJ7cJ1UvOenPHHE5yd/c4onD4YYXxayJGdwWbIFi6zl+E4N61mD68mUkcROKRArI/zrYfGR1POYdFlrF9pRwdIlNrQbxpNJFi1sgKuNtDLAFK+zCVlCW288xYAwiMhw7SUx7/q5VX70vwqePOSCE1leYrJ36JFokafmg7J96EqbDXZEhcGgsvfpyMOYUVmSSRL7vkurpXPvsoSRUzxFLXlppIaHIU0Tbrnucl79yhfT7w943x/9p1GAGzWL8Kv0ogbDSFCvFZs1ZQ0I43UkRbFVEUSKsZ+NBpg6DzDXgrwAell754ztGH6ctS24NR0j+ZOP1Xlsb0iqSqyda287FSS3BUU5QzkaW+S166XG2ZHsZQbcEbAXrP5Vyk9GcT0G7DLCTblPc+T7ZWYfqxk3dpyx1ta10UIiXOGTdmSjhXSkIxFCIbQhReMJw/VXDPm/3tTl53/Pp5MI8CkhzD0DoEi1JMra1bQbAESmz7NUvqshd5rapM4flxlYHdAdeE05O0zhHGmKmyF7G0KbfHtDgMATbNlQZ9f2OXpOf48APPA9giA4NDVROdydqewOVBffowC3GAfyKEMzxuIFq5dKZcUoqIsAUyOcnMlZW5Qlii4BPUWKIrD0/JSehvd9vM6HP19n6IqnCub2cvaWDtzFlnvr7LNTZu9xxhYFsEeTOaKQLGuQ/bXkyTh7l8pTGdXhGXbGGb2QLMYFoYWsEUYgXI2KMNJ2zxhjX2tjQW4MaWoIhOFtr+yx97jH+z7WoBtjT5gLKvMdqNwj1bJUaFUkdzDCtq8JW3WYBaDWBbFyRLpkUQbuchFWFuvoEZm4tiYo0fYaxommOlVHedXDfuAfksNoLcA3bNzC0b3/eNvmjeEHZNT4pW5rEam8EjMVoGXkuQzuckGWGak/EaWjLEcsuEelSsHWWRBpRsCds7eX0IngfbfW+a/vaXJ+xbdzQEY0d3aIEnubNdnKcmA5skqRNQOMJXpYexOUsJ8z/td8jBVaZcw+6hOLUn0KJbYuRkzkjgoO1CMui9Xi+SZQOPbOXBYkAo8kNWyaSfjFH2qBgb/4xwadWNjWnRzkIq/RAtBIIld7YoQoOu91wdbSWKDr/Jy739WjwNWl81+q7Soc+DHAZ7IwijWbt85gVO0DH/nEl2/71+/41rUABwhDiZCVT2+cab+xJaPr+kOTd12M92Ou1ZimWFpkeYnJPoAeA7f9Xu55C4NYA/B0xPvOwJ31V8qK4ROfrvHOP29ybtmHQI2xd6G9M3D7okjgjLK2yXX2+t63GAHveCBpv7UmuvyfeowWWjEiVXLgr0nd4wqucGxtNfgIg+eyJWNt3HMGesviaI84MmyeSvnFH26z1JZ84NYGVMbArU1xouyVJskAry17e9mNWWLrrMgqA35e+11icW3MyEq4ntrL8w/CBpz9NGC+Kx6r1WqfjtP+yDkdAfiWi7+FB7/w7+8B8ZDU/nU2sBttBC104+iGsPZvrg04y5rcglsXXngpkMykiswDzDHfuwRuKVNUqDl0yuOvb61zdiGwfvcaYNsBL8Jp7sw58VzB0HinTrkROgdz+YYWxVnOp6GWGObrVCU5mL8q0CkKrzJlsKZ3M38WhURwwM7Y22jL6lLYZuVCmhTBpu2qV06jK5LIsHk25R3f0uO+xwMOnw4gdB+sDO6M1R2Y7XbCDuSCXLIox9Z57XgmU4QZ2epEZIA365yrsXgly0UYo6lXPar+8KG/+Mjn7vn4e3/twgAH6CbXWbdh+BT1YJ7At9o3u2jZkkgW3Ixc03Kr/5gOH9fgssTo60mTUkAp8teu9SzQHD7j8Z/eNckXH67YBkqh1j8QrlPH7cY2ngof099CrKPH5ah8Wa+SsLyijcqUUSmznktSEMboVRwFcmlEQ+6OkLsjwgWYxc8K9hZYz1lo6ZJEYyB31yg1Cpxs0APDK5474Nd+ssUvv2uCI2cDG3RmV3yNLreWrDYQiSyDKfJREhmjS3DbnmRFWRRd9e4EyuIUFJiD/DNn51lJQyBhx4YKr7zxIlJt+Ph7R/G8BuDX3vAKhPCiU/vnMcPTVMLEAjz7A263xJC8sQAALytJREFUAe22r2Ac5GM6PXdNxNogc5TBx5hbaMQYuKVMUb7m2HmP//wnE3z49hqRcJtj5oxdyBLc6pPp7ny+N+OVgmunAbAOOHMAl35nHNgXfJR/eAGGEoxq8eK5VDKbfV2qEycD/Uhms2iEKGtx4RyWrJbcOEtROORkkiXRUPES3v6qHqmGX/6jCY6fDx3I3QfKQZ6dAANCoRFEQAoERuC7D6JNFtC7eeOCYnyEybR3NgSiFHTnSSLnsbtVK5CGmjJs2byJb/vWV0dxnPLTY6d9DcAnJqZR/sTP6m1broxWH36ZL1YRUpCkNvOVpAqR2N6/1AmpcnHMWnlicqBDqSx2BODpqJsiUsfqY8ztaY4vePz8H07w0TtqRNJtazzC2kXmsshYfnW/e7RLp1Tvzjpgd4HNCKjHafuf8BjHdbkufG3a3p1pY/LWNlF2VFztSq6/HbAzqZIFqcLI7D92GpzcOgSbRPG9lO9+bR9PwS/84STHF4JiAtCamzX7gcx1uW1+EKQu/jFk3rdj87y6pBTHjJyHLMMpGGhBX0OUarQrRdw202DbRbu/dPGu7T+7tNJZc17l+De8YJLh0t+2azW1vzOM0uOLPc6vdqlVuoTBMJ8SlbFuua5k1M/WI9/L553kyZtSTckIuO1zYQ1acAuVcmZZ8ot/NMFHb18H3Gv0ty3UsQN8svHH69V5l9ySknyBEsjHjvUCzOySjID+fwLdo+Bd64uXGyI0pdc5g1siLafubQAqGK8jT7PsprY7uGXZzfLE2qK8VuKl8LZX9fkvP9li83Rs04ymnMpPxw63H7kD51BDZCAywqb4DcXhUv55yt6Ux9UV4B5q6KYwiBNE1OXimXn2bD7LttlOqirh/ne+57Pt2enmmlPrXeic7zvW+8n/+EdX3fTo/rPXz0y0+G8/do4XXjVwQ9eli8otYxcSZTzhs1aeZLagKAeVopAm5YBSukIqqTSJL/jzTzb48OccuOVaxi5Lk9zzLoH7q7J3Fi+wjt4WYkSSXEhfF/uFiv9ZfI8GUWuSOmb0d8woo2ethaPbjxT1KRmTk0kUMi1uVQWuICvzybUxoJX9DNIgUoOH5u2v7bH/qMdvva9pXZOMsLM0Y1YthdPkrlfNCJvST901MdjZ4MoxrHLUUD7/2SMDeWwESarxdZ+XX3ee//rDbaYaDWLUE3cdXv7Jxd70/6+9L4+y46jP/ap6u8vsq2Y0mhmNVkuWvMiyZRl5ARubQBKDDQYOkA07eTZ5ELYH5J3YbAEnLxAIYIIfkDwfQgwGDAYCmLDYBtsYvMirRuvIlkbLaLY7c5deqt4fVdVd1bdnNJYly3ZS59y593b37Xun++tff7/vt1TmsaVZC3Ptb8KvHmyILj37FD7U0YAn9nbgw19pxb7DHK7N48CCMl8xgGV1PNEjj3UWWwKYRAb3towIZZTIghYDbII7f53HrXcWUKOq9a0OaJVzIg4ZIaLSRFETowQNKestD0J2w1AY1jpFuw1AGxtoYz6g67TEALu2ziyEIBrolaOvb0fiKnNVxpbMnFxvyZNnPRlL63fIKLicJoVFFB7juOqSMl5xbgVEJZhwma+iHkbhhLLmwl+IGBBwkcsSaHxa5bFEKo9G+9+VsaEEQAT0d1Vw/Z9MY/niAvYdWoQazuablvHoQ2+/LPMYz2nB3/b6zahUKrcePPLEyodGouL4VAPGZ2bR1WojDEXSjpJrEu6aZbV1tUTJhBq9oYklJyRK9G8iODexge/fk8P7/6kZT+72BOfI0rqpab1dYpag1VvvescyHcFUIDadT5O31AV4YF4Q8w6evSyhJyTRwKE7lilNXJWBGRZcvTZVFfEMEd2UgR9mWHXhcHIq8EugZDkOHgGnDgX41Lum8T4L+OE9BSmeHO0ylraayCofCd6IEKmucIPWy18TH2rF3SuEorkBaG10UKl52F/qxeCZl8G2nDm/nc61orFlCb/7gUc/OzSw6siytgitTQXMlNswVSqi6rsIJWcTDUnrQW3klBgWPXlvWUnwhhAtFZYInk9s4Ht35/GBzzXhyT0auDMlQVEeQ6TltgEjmYoSMZmSIQFCt9zcpBtZiso8QDZO8UL4SQa4k/ZkJIlqzvE+zdeNkD0S7h3XbDLTaifWXabTqvTaeC5OYdkjmW4rMhEtMJ/ilIEAN75jGq/ZUpZ5smkOrj+UdY/iq5JLS+5z8Ryn3fJkMil1f7SISK1odDg6ChwNTgFjYx3Yu78FQ0vXTOULhc/li41zhhXmtOAAsG71GRifmMYp/Y/Bs6s4Mp5Do1dDzvXhOqrnnzqpOq9WOSraa42ykBT3JlpY3oppCfC9e/L40Oeb8PhOV2jdNAvUOjVJAjqJ9dZ4NlWWmtcDGZh7mcJsCvD1CNfUJD0D6yhAz3IuDVWljoZoE7ca1jzRxEXQJ9leWXBj7h9OQWQVPuFUfpZLwCtKLTtGsSRLBj7HqUsD/O110+Ac+EFsybOu4pQN5USeL4CBIJBbKZ0cEFFQ5eBbRFSXeTZHRxFYVCxg2+4i+hblccrK1VNR+dDXu/uWznl457TgALBiRU+NUPIXfX2LZ1sbKCpVF6WygyCyEGk8XM8qTLIFk+ikqLrRc0tMR5JqoXhCBef+4a/z+OA/NeHx3W4SgjcCOBR6IhVo4lgalARZyknauTT5dt0yjYYYuRFI1sFYpy04Or7nXqcHgpTmLd/oVlzn6Ehx7cTi6zNFIMXB9RkkaGo+IGXNLU1gsMB8YN3SADf+5TRedV5ZWPGYk8tHWmEx3gtzzTgQQFjyQAV0kPzfhCiQi9LKvENxZMpGR1fPrGXhL6jXW5vv+M4L8JG942xwcOCBt1x50fSijhw8l8XWjypXJ9a5mUlR6BwUxQC56ikYxpab2wT/cV8O7/tME57YJfuYqOrcOstNY7NMgaRKh6COeyfJVPN06NK2U4k8Jm0hxmcViJV+myUhZjmeczmXSdBGj3BmWHMd3PpypgM+qfZRxRIKzNAKI7gENNfAzfUqIG6Bc0sG9iRN0UC+djDA3//PaVx2bhVWpIE8E9xqmSqmECDn0tGMeFI8waDJntr/WPMjTM5YaO97+XTv4oEHcvYYwzxjXoAPLOlCV0fzWFMxuvJlm1YHrQ1lFPMBXCeMJ32KMwXBYZabKSUkDfJkGaERiLLcFgO3CH72Ww/v/lQTnhxRlptqFls97BTAESdTKZ+nLpEKc6TDot6SmyA3AW0Y7JRDejxGlopiFD+ktzG4d33/wrQVNyaYZdpFECstidUWKgox1BUBdgV0C8wnWDMQ4NN/NYULN1ZhpS0507Vx/bUCvFBjOOexFQ/jUjahtAQRQS0kmK0RHJwIsKjvlODwkfBKy2kec3Pd8x7PeQFOqIPpiREs6unft2Ll0K7BPoKO5mkU8zU4Mcj1qnsT0EoaFMpJIg2qsHt8AVgc3CK48zce/vLvmzE84iJuM1VHS6w5wR0XECMJyZuTtybWWwc8SBbQsymIDmwD8QZRTx3HhYCaz7VCMd+kZ3Z9HnhyATCDqkis6SVvczqaqeWMmtSFW9p2WkAoouA+wcr+AJ977xRecbZuyeVDlb4Z1lyXGKWUiISqBNKqB4ygHAGTVYp9k0CZN2Fw2cpdS5cu2ffk8AgK+XndyPkBDoheH+H0D0eKudLVnb0DyOXG0NQwC9cJUnWUkUlBiFn9blbiMFASis+6HMwm+M/f5vCuf2jG8NMu+HxqSdz2V0QrSQzujFC81nIuMzCj6AlMi54GctoJNcBu4FtPNlPL54Y3T73Qb8WqhNxcpsDLEzrDkHJGNasN7QJAsq5eF0/oS8LVJQnVeThUAyEaA54p+lIjWLkkwD++ewoXnV0FjRgQzKWqpLRztYwxkazFkyZDAQdmQ4pDVY4j1QpOPW0lRkvR1V+47b4RyzoqfOdXUQCgsaUftVoJrtsw+uge5+777394y+bVE+hrd+AzJNp2quqGkMTJJLEVT6w5IRzUA/YesXHvwy5u+OdGDI+44G5KHSFz6N0SOokcqFJg9WIFab2RADkrLZbOcwHEg+hg1qy7YbCl+8n1d/WvM8EuBWcuEzPq6AlJLD2XFQEJsEmyjZTh4nYlKtKptHGiKTGxLk7ldqo3g1RXmLhDUpm7zWRbCD1NVmVGUQKQgGH1QIDPvnsK13+J4f6HPOw9AsDlSdSGyGdVo6Tq1wiTB84CoxYCADYXnWwZA/o7pnDFlghv+MP+u89Yv2V0pjKLxkLDUQFuHXULAB/72Cew7uzfH/dZe2n0UO4NE2MH0NPhgBIeT9cXT4+t9wq0IoN/G5JgjmB4n42//VIjPvPvDdh70BG9AzPBrfHuOKAjgO2RpAQtBrrqSEWSwoa4K5U8Yca0gCoHRcmIcXeqZFuLEK0blZpMSc0ITRInVG5HCJHbyWXa+rQfUOcb1PkQ5kVHVakX0YJQNLVN3Z1Lb3/BY3XISEFIq0ow91E3Mm53JAI62iJcsMHHop4IT+2wMT5hpUxpfDtKnonuXYgT4VCgYAGNLsPGoQquvuJcrFu56r3lqV33NLUuXwh0j27B1bh0cz8aGhofGOoq375v98Tl45OPo7NNAFbNgaNmVCBS61ZVPATqtZQScwQ79tn4yBeb8K0786hGFPCy1BGqnT2t15k8gbpaouazjCt1VEURsqOW0Eql0hU8ukeZpi3qZZ3TeRwdTR0GMecmwrSrAgj1/bGjKY1hzL3BYwtu8nZtjst0tJPJdmxUzW+pkrkowKQlZxBladLqCzaltHJxHGgYobstxFt+rwLPAT78+Ubs3OcAnvoxRFpsOSUEYaIZP2HiAQ4GFyGlsAhHmxeiv3c9qmTj7aXo1AdK1akFH8MFA7yxtQtjh/ePDK3c8M7K5IMW8d3fd+wpOE4Ax/bh2L5owKNATZg878paiGfqEOzcZ+OGmxrxrZ/mUcV84E45lfK+SACzIyxUvskcXWE1UNZZRaS3IUbzn6wEKwPpSO0nfTUcDcEEhiqCmGMnWKjzP41wPOJZhsU+VI9uIgGvO6BcBoEANTUK0cP9lKSWUVlaxhL+Do3SxFXQVHaY4GAQFwOvRvAchisvrgAcuOGmRuzabwOOCv4QSVuUE6EZMqmT+8RDKQB6WosoFJvv2HzuxnfufXp07+BA74IBfnSWro2Ozl4EpZ/tXbVmzWODAx4aCpMo5ioo5Mqw7CqoFQBWCE4jwGagLgOxRA4KKAH1CPYcsnH9Fxpx20/yqHLZ8bLOWs+dZ6JUExU4S7ddSydOZd/mk1u06oQwnzyoAx26Nm4s13B/DNY8CdOnAW+CNK19qyskK+iTVMLo+rmupqRkRqWQqCBPXSBIhfVpEuJXujhXmrm2LiDIc4Y3XFLBDdeWMNAdCA9SkxBJEMKKAjjw4fAqHFaFw2ZB/RlEfgWTMxU0tbZiw8bTH/vmD361d6B/4eAGnoUFV6OxrQsgS2+shg8OEWfkqrGJA7hrq4ebv98MJudw8QOOTWt9vOXSCtYuD+FQ0errwUcc3HRbAd+8Mw+fSKKcaa1T4EZCTRJJMGWxUe84KudyLv07zTPj1wq4MWCl86gvrnMwnwPIpSWPnzXwKsfQALxaT0wHNLG+YgM1b6XK2VIyYlwcAZVOm1CXZD1PrDYnoKDgjIFRalTyUC0pS035IyrZOCgYohBwbYarLqkAjOMLtxXx0JMOahGBa3GsXRXiLZdWcM4aH74v/mfGCW7+fhE/e6gC1+vDKacM3nrh5nU3Pjr8zLOF67Exx+rYLfDyiwsjO2/+8Xs+X3vZT3/dgOkaxH/MI3AWwuUhersCfPy6Ei47v4Zv/CiHv7mpAZMlCwF0Pp3lWMosYapZd2g53jSJWNpUyzuhCejTr5NnHjuYemW9mh+0fplwJhOnVGxDtGWiTbJ0Oimpe09l+i6V7ZTjtsvyhqVm0bDiFsryd1vp36t1943nLpK57up/s9TEXemuwEnxiWU0WUq6icXlg8bkX2K5pQkFcQaoXpxCeJxqQUmSiiEyRDmIRRAQgqkSxf++qQG3/SiHSy+o4ePXltDbGcFlorUcl0l8pSrw0wc8/N+frL7ndZf/0aUHD+0vf/jaP3jWWH3WFhwAch1vxW8eur/M2Dv9vQfuQJlOgecgbzs+EFXhR8CeZ4Ab/rmISo3gozcXcXiSJm1bdc5Vx7P1C0DWViJJpDI1by2Qg1TbY2QrFAbvTi+HZt3rlmnN2UiyLLYVGYUOc1kQZVn19bo0qKyz8WxsKOVCKb8Zlppo5W5ZtEXn4nGSlmidpvg4ozxOr6WSr4OJHueMSdMNScEZwCkDAwVl2uRtyjFFBDDR6LSzheFvrp6FHxF88I9nsXRxiKhMUQtdBKGHKLLBmIWab2Hj6s5g/Ybff5yTyfLaK589uIFnycH1MbhkDQaXnPKba163sdLRSOFYFoquB9spAMQDOMXyJSFe87Ia1q8KsHIwAjW0KA3MCRyRBHESvRvQZUAB5CQFNsW5MQdw084mssGuozJ2aUn9ujlRPKesMvfNUk8u0vAbXwhqmVHJE4NVcWikuHV9cYO5TYqDZ4T29elRTJ6u7ZsRk5Nzqu1HfhY0/icZ59i2x8LWbQ7uuMfDjmdE7WwUOajW8pitFFH1HQRRHlPRRdtqs1PX5dxjssMAjtGCA0BXRyMCv/zXl7/6Zfwbv3jqr7Y9NZIrujYOlinGKxSb1pRx/dsncOFpPuwCxx+/uoLfPeGhVCMp65yy4lSLWCJxKo0EqphGaPWUmhSYTqBKFxTXXQAEpqasgT2Ln2dFMzMxvpDBtR1oHFwP8MTvYytez82FlVepsYi5uHFh8GTbJK02BXIoWVKTEQHpX1GAMsHHORNFzNAsus7JqbwzAABnUp3iKJUJvvqDPLY+5eLxERd3/trD9X9WwhnLCSrVPCZKRVBSQ++Svmpb56vuAG3gTY25Ywb4ggI9c42PfvTj3Fm85e7uloLV3xScmyNlq+qHWNY/gU9ePY6XbwgEl4s4uto5/t+PCyiV7STHhKbqKXVwa4pJIgma1fF1vFvx5hT3pmlera4x45kYeePJNiQRdwiJn5OIqFpPksCPCujEn0/WGRdS6mE0/owvNpK6cNMKD0ldxIpK8eQ70xd0/D7rgufGnc4IDGkXubjgtYlNNM+cEKRKGqWzb3EcnrDw119sxpRvI4oc7NyXx/B+Dyv6I4A1Y3hPK0I66Le2D9zo0d0fbWrfEC4Qjpnj2G2/HKf1+r7ldH0yWFLyDx+c/Mjygz7dvJ5g/dIiZksObLsG16khDCDnN9e5Nz0quG0ifqRKoEpyTfi8XLteHjSDPepEABpP03h3vSRoyoOZlEU/+fritEnnqQ3Si3XLra9X6gaJIywASfoTEqKVtBGtxI3A5OIkpbpoXDymKETLOVdSJCC1cSbvFqI3IQWTvRIRqywiKMSlNi6aDFlcBvtsiPNtewDN4/7trfi7f6ti8wqKibLHTj918Uf6a8s+teOJSR/PcRwzB1fjqtdfgbXLpirnn9t7+7KVazjhLloLbTgy1YJyLY8wcsGYlZzpLK071axHRSotBW4iFQQoxq71LjFoChBXZmcALyslNtuZNC+Eueh0LB/OtT4d/tSAnH6tFzbo6/S02TjrME6mSmvh4j/Qt48ph8af4+kC6/TzVHotEoDHnBtZxRJU5pVTg5PHiVhyvd7FSzRH9eC4OXQWXZTGGxEEHk4/Yy2nTUtuf2DHdOXCVxybY6mP52zBAaDQtAS9/YXtew+1X7v57NxNldq9NIySIAAHAaia3iPVpCftUKYst9mNaoHOpLLMytqnsvzqQZ5BG5Cxvdo2BVgTys+KgSdIJgtYr1nfuCiCwODqXPJvxBY81RVL/6x+MaStuLobQPWgTFojC05OQSnTJHFhyTlkMyGVlAVLHjcmgQ4RjQcBiAVKCFzKUPSA1WvOZevXrbo2yC/aziuTxwOaz92CA8DAwEY8szfnbzp705dXDrD39Czy4DrTsCyRnMAIx3/c5+FIyZHNeuQc8SlwE6LVVEJLniImWA2wYx7+qPAmH3SOiyHtVMpXZsQS2ou5qEhqm4UOI2KJlFwIQE95ja212l6LgKrql7rus0gssp4WC6SsePxZJA2DYoBnKSjpKVNSbSdkpFOUutkIQwetjRyXbarCkfKmzwgOV0LYja3Yd4S+Z+2ajV/OB6F/5tr1xwOaxwfgALBkYBn2H9gfLRr6g50T5ILS7sOtCEPAshjGJgi+8dMi/JoHWC7i+SrjypwkiOPKh5MB7jpQaq0F6h2jeZ4NkCYL9QSqTIqT+p/N/WjLMN+CZOjSoMSr8SGetU0qCU8HYH0xBDJep4Cs1dZm0pOUrAjjfQLqRCKkcmJaiihKwB1FNsLIgedaeMPFZbS1BUAIUBbiotNtfPidZ5be8fZX7ZyYfCZavWroeMHy+AEcAIhVwGypesfqlRddt7j/zeNlvxMBr+GH93t44NEGMNcDrJwEuVBTFLA9mgBbtFrTC4c1R1EDlgJXnO+tAdFwLmFeIDonzwzf63QmhWKSujCOgZAsfPD5nlNcO0MKjB1E+RlD30b6c2o7eQDiiyZpRaE8HIPby0ektZvQ209EkYUoshBEDoLQge972Lg2xGvOKcGLyli7pAF/9rrLxzec/orrqmV2R3Nj/rgewuPCwdXo7WoFALBg8paeri32/j2TN/77nTOd/+drIWZIEbALoNSGnhOtJ0zFfUtQb3mp5jzGSVUwAQttfRanrrsAUmDPUkzS+1SjzppncpmFXwDpKGXaKTUjlYhTqIU1J0JNgWykF6soKkopvQSOhI8rS2xwb/27VB4Ll6naqkmffhB47KyKoKroYqvP6MEJF62bIwsRFfWcngO8740ldHW1Y3DllsPnbznvfx0YD27p6ew4nnAEcJwBrgZ1WrBtz8RXbedV9K7tM584MPGrTuLkUHAcOHKOl7jPs7TYon4ym/MaOmzG96WdS6J9zgCz3Fi3zJnUhWS8lo6b/tvM32mG8c1ft4ChhePTgI73x5Pv4jKZimiAJfJzjIj2xAC0VFgJVAVEDdQgacnQvGWY1EmR/sSSA6ppvRASeKqjcNyDgQNh4IAxoLOF4KP/Y91hq+2cDwJTXyVk/uLhYx3PKdAz3/jcP96IthWbH2pvyR0e7Jk+f+eeWr47DxQdkb+tABXPm0PlnPA6505RB8OCE2gBGS0HhSIzoEO0YE86WcpsCkTMfau7jRboSapz0tU86r1Z4WMGeOoregxlKOOuA6SUnrQqlOFrxJ9RuER9pNb4HXXle3oQiNc56GkPvi5En4SAwDiFH9io+h5qvgfGGZ4YXTHe3LTqfbXpXV8ttGw+UTA8cQAHgF/84Ov42IfO37qks/HpoJx7peVPeBYhmKpQVBmJ26w5FHCoNutwfAC1oR1Yo5wrBdIE3Dz1PnkmNAGy3jI5Bi7VTzSpi3aar5NIZh2I6dEBXqfupB4g9QBWd5KsqCJJrYvvVGkqlvFejyvEMQWSAXCdPmlOJ9NyUZJ9M4jaYBtHpooYHfPgFpaXdk8MXrd1N//alvP/hOMEjhNCUfTxyBNtzLbdW89Z1xQe7LL/9clt23PdvRXct8NDedZFzmNwtalFOBcNYIzOqYo/Ep6Fe+MCONqJNEBZty3JBJhEUNa3Gt89R1znqMOgIcjOQZEvzXQV5USSNH9WLZW5KSMiyRfnio+D1PFyU7rRCIrWAwfqvEDriCUr7ynh4JSAOBw5m6FUCfDgdgehb6GpZXm1wrrffvaq4rcqFX/epj3HYxxXFSVrvOOaN6K5yKM1q3q/1dvT+5bLX7m0+qeXTmBZxxTCgMOmBJ4N5G2OnC3aM9s0+WFJqzEVQYPG/eSBR9rCQVNX0kA3Z0tLS4O6Vay7raPegqnPpn/P0RA+l9lK6C9BHcwyoo/6zhJpTxiEOOoInXebCovqmwIk31enuwNQrQJEn8nEiYTcdxRRBKGFILBRC2wEcjaQnBdh/0QNX/q+hf3Ty6otLYveEpCeb42MRtFp57zhRMPvxAMcAN501RUYOzwVXffZN3170+ntb5sNh8oHxxkcypC3OQouR9ETzzkb0hEV3rfeBEbN0xK380ohPQE5n8d6z8Hv9bA7qQe7qZJoVCELyGTet2Jk6NtzbsazFpL4ZX0Tzgytm6tgUFbvQpNqmN+n05TUnKbyAYhJYWuBjXLVQbniolJ1EAQ2/ICgvSnAxZt7y7Os+23nX3zZt/3KeHTJpVc8H9A7sRxcH7fddiu23dmHVWdse6Lj1KW7J2YLF0fVcq41x9CcBwo5wLXFafMjgkpIUY4EVw9kDoQ6rekGP3W9v6n2MDg4mYe7p5w/QswLAgnnTpxSPdMvK2MwnVWYTYPUdwDz8HAkd4bM5VDLzAw/s7+i1j+REBgJaFQSjrjqKZl2hsTVQ6rRE5fNnpQiZqHmO5ituChXHNQCC6GcotCyGBb3LJ7auL7zzy+77EO33viFFfijN7/p+YLdiefg+lh1+tW48l03YdXA0Nc723odVp391I6nHm8Pa1MoyhZckzMch2aAIxWC2ZCJBjayDCwny7UYj/vNxGd4Ts1bA7RhyfV1IPUA0nZfN7IstAbQ4zGUZa3bn05LiM7LhXSo0yU9D4UJLVA6OhCTTukNgWR5kd5k3zjEchID1QeH0gg2ZSCEouYz1GoupmdcTJQccA54TgDb7YLXsukIc5x3lyuNX2+eei8+cN1bTzTM5jtVz984PDYBx7H/9Oe/vPeT9997dyePynBsioofYLxWwrbRKp7aRTFbs1GDC9gebIuiweLIW0COcrgWh21JBcZKsg5VQ9q48U+6rnJey12vdJjWnGRIiolqYkiIhBgyorqLGHRJv5Poy7S8dmIoPVy7g2jvFY2QDYB06TShFSL9gWh1mpZ6bTE5j6iwuklDJ9H3xrEj2HYIxw7h2AFcxwelAco1jq07Cxge6cL0dDsqVRucR+jpbsQF5285vGLNOR9gUfiVXL7lpODsebXg+ujsaEW5XP7KpRdvIT0dzif2776zM6hNgRAH61aUMVsbw8O7I/zyEQ/f+UUrZgIgIjkElCDHUxNfIUPygm6xiUlhYotOjNt9FvdGat9J8Gn+seBpvTVLXO+cCgtMuL5cLtM+rgdiuIz4iMCNyOojcgpuIitsKBfOJSFJkpaYJJZJi6/yTnQPXPV6D+G5NUS8iu/83MEvH2nAb3a2oDxTwGl9AapBFd0dLbjgovMPL1u1+YNRyL+SX0CLtRM1ThrAAaBQKCDwy18+48wNYW9X9dO//tWvWi0+i9lKAX1djTht5TQu2TgDmwBf/08b1cgFsywDDPpzmn4YlpEiRVfmSpFNnM0sxSTZQhvpCPazOAZzUpGsbYCkUDlGdT3gkx9C4qik6FolKQrjIFTNpQmjhyFVtEapKjw5KoRw2DYDEODbv3Rww83dePpIKxqaPCxtjUAArFndhY0bt0yceeaZ7wvC8F8bG08euIGTDHAAcNwCan71lmL7OeM1a2LZ0ED4d7b/IyeMQjwz2obuzmlsWVfDHb/0UQ0ZVH5xpu6tqyfx7ZlkWm4jFyV9gaTBpojtPCBMbgLHxvriKvujfE+8vbYZhz6FvM7Ck0ofUSspW11Jay4mh1XxB54pI8bypDw+FmWoRgx3b23C/ok2tHU48P0aZmsc520+NzhjtfP+zeeftdN18j+wLPd5w9Fc46QDHAA8N8cOjm6/421vfK07vP3B8hPbNn/hF49sJWv6KS3mIkShdClJvYJiADrFsbNoieLiaSdUqQ7xyAL5HMMI0uDZWfD0PtK5KFn7Ut+R0DRtnZZpmNA3ohUh1HvIyazImhVPV+XL7MA4QctyUCjYOLWLY9MZhJ115jreu2jZOwYXr/+X7dv3++vXrT6BiFn4eEEAHAC6e1bg5/f9zm8otN1yYHbwF63tudc73ujHWDQKThhAHVjcQp5yuFSk0ybNNWGEmPUusKZsSOovDHkrMCgPngVIj5dqMpdisiAeL0y/3mKCyIxAQqRiQqQ1pjwGOSEAYRxMC+9zQsCpqZuLmRYorMhCGNkAoaA8BAl9rFjah41r2//mtZd0f5NZzU+H4ZN+X/85JwYkxzCel0DPQsdFmzZg4/pTKusXs+EHd73+k2vXdH+kai2Pbr+vHUdqeRRdgqItZtyyVb6JAjlMzdtSXao0FcVQVYwq+IygzgJGfIHoy+Rfc139DnXn8HgkY+jgVo4j48mksJF0LKMomYSKMcjiBK0qx+iHItdHVEYoHVRqLlzi4IoLAlzy8iVRsXv5R668av0nv/kDMuzm11UKjS8ccAMvIAuuj/Mu/APMjn4lKnz+musPveuQvXrtL96zY3Srx8ol5K0ItqXmlpEfIIksmG7JZkkVRbRB07L/cHw0a2Vk42hoBocnc30QJg1RjqRuubMse/bPJgbI9ReqJpXTpA1zop5D82c4IkZAhasTf08UWQhCglogKnZy+Sa8Yss5tfMufu0/tDZ3X2+5t+PT73/tCUDCcx8nTQdfyHjmUAmU18CJ9Ynfbd197pdv+T61eOXcg4fG7YmyjVpEUXCBvMORczhcW0w3Z1kkaYIvLbkAONGyB5N/PQlt19vSOBqofU7PKNT17UTjTmcOahFPas7UpgehDG087nLHM6KuPO6hQlNnUFlwvb4zdoBp0t/QphyWJR9S/7YtDsdmcJ0IOTdEzguRcwNUfRuHxx3kCu1hSzO9d+iU17Bi84p7EUUfhOOC0NaTDZU5xwsa4Pq45d++C8exG2dmZr+0a/fIG7buepo+vLsCFzl0Nog8Fs8BHEujJoqqWIBtJQ0wdflP77qqV7XoBycN6jTAk/xyIpUGPU0WSbhcA306uJRuRpTkrfNUyoEZ6FGWNykMhpGcpv4ZpTCJi10Ew0QwB0bAx7YYci5DIR+gtbEMP5rG/rFOwF7DuroHv5HPF68Jo7C0fsOrTzYkFjRekBQla7z1zX+I7Tv2lGwn/5ebpvbtOH347lOb7pm6/Gd37QMpUri2KIWyVfcJCSw1HUls1S0irZ6AL+NcTgimyWT6F0v5kXMBzLn4cpyVWEcnzAtKH/qFZOjhcziX8c9WwNZkUbE/bnJnJpvUIzkWXH6JcMpFaiuDqPoJieDhlAJOyAFeQ+SswP7ZxbefdfqFjw0N9n2mXK6Uunv6TzYcFjxeNBZcHw89OYKW5uLAvb8d/sdHHx2+/LFHH0NQLaG5wYZl2QgjDsYZKAhsG3BsAschwrpbNKYanHNEjCOMOKKQI4g4Iqa4PTdC9ommrof8VbtkRVEASqiWAmCm2wKJBRevM6iJ5ghbNAm5J23odMrC47l5AGG1I0YQhmJuyTAk8f+jvse2OGwb8BwO1xGBG0rEBRGEBECEguejsyOP/sEV6OhefntD6ynvioKZEaew4mSf+mc9XpQAB4DRA2NwXGf5Y0/sXD87W37n8Lbh80f37QTFJMYmGQ6MW/BswHMJPJfCcylch8KxaZyvwRgQRgxBwFALGPyAIwx5nMilZyBSQ3LUMgsp0fg9idUZtU26GMJoEZTi4XFvRZVHI+mDKXXKsj4JdIsmShLjgB8S+AFBzafwAzGTn2pQTyngOALcnsuR9xjyLoPrMIyOEzw9CizubsL6U5dhcGjZXZ6X/0xz+/KtjAU78oX2k33Kj2m8aChKevQs6gCAHZzzHQAec2jUc+F5a/95z8hDy//l2w9YR6Y9tDcReK7IRHRtCs+14DmCroADEeMIQnFLrwYMYcThhyLPhUrVARBhbVXkq/KzuUYTdFnQaIYZA9y0I3F1uqYT6h2r9PcAjPwXdbEIhUglTCHp7c0JAgnsqg/4oaBg4BzUIvDkRFOOJb7HtiK0NNQAq4xi26Zo5fINOxrzwZ/3Ld08CmCYkBetDQTwIga4GvIEDFdmp4YZCy8lTrT42qvPvu1b37u7aXJsX5Hzssg4tAnyHkExR+DYoqF7GBL4EuBTMyFmqxxBKKiJYwG2LXkq13U7M6RuVPLElIPENMUYXHB+VfClAjKEkGSiMcxdrYS4L4zQE4lUQxxHOIeUALYtCg+qNY7ZCkMQcEnZuJBXc5a84MUFns8X0N3bN3v6si3TTx/wr2xrXbbPsuyRFzuw9eP3khmlCkcxBzoyOtO8Z9eOTTZlN+/csSPcu3dXW7U81djSwNHREsJzIsxUXPiBMMO+z/HQ9gqe3CsCSAWXI+cAOZfAdUgsPRoKiuTilqUcWALborAoldRCy3cBYt2eMR4rNkDCyS2p1VsUsG35bAnOTDX+reiMbXG4NoPnMOQ8hpwXIe8GsGyGJ3Z7ePBJF37ARAFJyDE9G8FzCDpaXXS2eujtaSutXLF0fOnSITvn8qtbuwbvo1brFBAxQl70di8eL6hI5nMdjXkCSgij4fTEyqHeH7e2NK386i3fXPbmN1718bPOOuvxxb0dD68cpFU7H2FqJoTnRuhu9XHmqhlccfEYmjumMVoCSlUiuCtX+nES9dQjhXphgD4JbKLYCJAqTV6lp0YRRxRJ5zbiYEw4u4yl96mlH8T1j9o08JyAUqFdN+R9dLSWcGj6CG69u4KHd/g4PB6iXItQzHHkmxyUooZqS0vHw+vWn/n4pa+64uO/+fV3luXyjStzDX0/np2pThBCXlLgBl5iFjxrjIzshWXZ5He/ux+nr6xZDQ25L9z5YLhyfP/Bl/W3jVoFbxyVWoglXdPYfXga77u5F6jmsbiZoalIUMgJJ9WxZNaeAj4R2rpjEdi2cF5tm8hnIVdSKwnERBHgh0DN5wjCCFEkOI5yYC2LiM9bBI4tnEHX5nBsacVlvlQUCdbvWBw5j6EhH6G5wUd3+wxq0QTe/cU8do+0Yk0/RRjZ6Gkv4pLzFkdLl3fd8/DO5uFqefba1YtJtGnTJoRhyHt6l5zsU3RCx0vrcs0YAwP9QEJrw8nJqWt+7+Vea60y9rdToz909z4zGw0/3XOm5TkblnRshRdN43DZwqImkZbrWBQ5VwA4DDkqYQQ/YDG/tuQ9kMRAlTO/2ZJiUACEI4qULs1Q8xmiSMp/FoGl5oeXVEUxfiXreY5oHF8LKPyQIIyAyBHfFziC19u0jMnKDKbK/bjioj6sHqr+7q5Hag8uXrTSuuDlr/T7ejo+dPr62kRjU9PJPiXP63jJW/CjjV/edQ84w/ktDf4ri94zV37tJ9VVh8cJDu7djoIXwbUC5F2gpcmCRYEn9kQozbLYYS3kKDzPgudQKUcSuA5iJ9W1hd7MOcHENMHIgRBTpQCcA45D4NriDmBTAkfbR84Fci5HQ56hoRAh7zFMzRI8MkwQBgzNjRStTRY622y0tzCcsqoXIWX47n1925Z3t93W25X7ScT4XRvPftnJPsQndfyXB7ga5dnDAHDpwYlw2aFDk+yr//pNtmygc2l/X+cHxg6PYkk3xf5DO/HDeyaw4xmKJs/CQLeD1iYHnkPhOBR5j6KhQJDzSOwUFvMR2poCtDZWsfcgwXfvtrD3INDWQNDaQFCQqgYAuC5BwbOQz1F4LpBzOFqbQvR0TKOYn8Hw0w4eG+lAW/MQOlsJlg70gQVjn7T4wd1nnXs5zRVb6FQ5vxPAj7s72k72IX1BjJc8RVnoKBQ7AeDH6v2RI2NwXa/lwOjovduGHQz2IAjy/X91zRC/ZN8YQ1AjGNn+CFyrijDkoBZFLmehoeCjsTCLA2MEjDloLgTobpvArD+Jp/a2YqCHYvvBELsPFuBQiqYiAWMRDk1E6G4vor0lh0JeOKm1gMHLt2L1uvPASADamsf6s6I7H3yMfrq3gzhDy9egs3PRXX7gT7Z0vDgDMSd6/DfA5xjt7R0AMAngewBw90OH0dGDp9b0VbtnqiGbmuYoje1C5Eeo1kQwyA+i4Jyzz7hhYvrwa/ZOh8HijiIGFodoap/Cg1s5nEIzXn5uhPWnzeKeR/JY1GhjqNdBb9c0HtvtOo7T+f2JA4/f4DquQylQ9SNYbiPauk+DHwE8n6eDfdHBMzdgNyEvnnyQkzn+G+ALHFvO6ASA3fKROQ6M/AqEkGvKu8Nm2AFvbGxAQ1MEy3VRDh00NhXR2R6ipXMGe494aHYddHVaGBogmPLzxHYHpvr6+g9e/urzTva/+5IZ/x/ZcifkYu3MuAAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxODoxOTo0MiswMDowMKqi/FsAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTg6MTk6NDIrMDA6MDDb/0TnAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 47511709
{'hecke_orbit_code': 27022147553592748, 'n': 1, 'trace_an': 4}
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id: 47511710
{'hecke_orbit_code': 27022147553592748, 'n': 2, 'trace_an': 0}
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id: 47511711
{'hecke_orbit_code': 27022147553592748, 'n': 3, 'trace_an': -1}
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id: 47511712
{'hecke_orbit_code': 27022147553592748, 'n': 4, 'trace_an': 0}
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id: 47511713
{'hecke_orbit_code': 27022147553592748, 'n': 5, 'trace_an': 3}
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id: 47511714
{'hecke_orbit_code': 27022147553592748, 'n': 6, 'trace_an': 0}
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id: 47511715
{'hecke_orbit_code': 27022147553592748, 'n': 7, 'trace_an': -7}
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id: 47511716
{'hecke_orbit_code': 27022147553592748, 'n': 8, 'trace_an': 0}
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id: 47511717
{'hecke_orbit_code': 27022147553592748, 'n': 9, 'trace_an': -1}
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id: 47511718
{'hecke_orbit_code': 27022147553592748, 'n': 10, 'trace_an': 0}
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id: 47511719
{'hecke_orbit_code': 27022147553592748, 'n': 11, 'trace_an': 0}
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id: 47511720
{'hecke_orbit_code': 27022147553592748, 'n': 12, 'trace_an': 0}
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id: 47511721
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id: 47511924
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id: 47511925
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id: 47511940
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id: 47511941
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id: 47511942
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id: 47511943
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id: 47511944
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id: 47511945
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id: 47511946
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id: 47511948
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id: 47511950
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id: 47511951
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id: 47511952
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id: 47511953
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id: 47511954
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id: 47511955
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id: 47511956
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id: 47511957
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id: 47511963
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id: 47511964
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id: 47511965
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id: 47511966
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