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mf_newforms • Show schema
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{'Nk2': 31752, 'analytic_conductor': 63.38524912449237, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7938, 1, [6077, 3727], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 57600, 'field_disc_factorization': [[2, 8], [3, 2], [5, 2]], 'field_poly': [49, 0, -16, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [49, 0, -16, 0, 1]], [11, [4, 1]], [13, [-18, 0, 1]], [17, [-2, 0, 1]], [23, [-59, -2, 1]]], 'hecke_orbit': 56, 'hecke_orbit_code': 247697979538939650, 'hecke_ring_generator_nbound': 13, '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, 7, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7938.2.a.cd', 'level': 7938, '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, 7], 'level_radical': 42, 'minimal_twist': '882.2.f.p', 'nf_label': '4.4.57600.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+\\beta _{1}q^{5}-q^{8}-\\beta _{1}q^{10}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7938.2.a', 'trace_display': [-4, 0, 0, 0], 'trace_hash': 545053774909842950, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.003', 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [20, 21, 20, 21, 24, 18, 16, 24], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [23, 24, 24, 24, 24, 24, 24, 24], 'ALdims_old': [151, 163, 162, 151, 154, 158, 162, 152], 'Nk2': 31752, 'analytic_conductor': 63.38524912449237, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7938, 1, [6077, 3727], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1417, 'dim': 164, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17, 23], 'hecke_orbit_code': 33562370, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '7938.2.a', 'level': 7938, '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, 7], 'level_radical': 42, 'mf_dim': 1608, 'mf_new_dim': 164, 'num_forms': 74, 'plus_dim': 75, 'prim_orbit_index': 1, 'relative_dim': 164, 'sturm_bound': 3024, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [164, 0, 0, 164, 0, 0, 0, 0, 0, 6, 0, 0, 10, 0, 0, 164, 0, 0, -2, 0, 0, -6, 0, 0, 158, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -2, 0, 0, 6, 0, 0, -26, 0, 0, 12, 0, 0, 0, 0, 0, 10, 0, 0, -24, 0, 0, 18, 0, 0, -2, 0, 0, 164, 0, 0, -38, 0, 0, 0, 0, 0, -44, 0, 0, -2, 0, 0, 40, 0, 0, 6, 0, 0, 18, 0, 0, -6, 0, 0, 0, 0, 0, -12, 0, 0, 22, 0, 0, 158, 0, 0, 4, 0, 0, -12, 0, 0, 70, 0, 0, 0, 0, 0, -96, 0, 0, -18, 0, 0, 134, 0, 0, -8, 0, 0, 28, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 42, 0, 0, -2, 0, 0, 52, 0, 0, 0, 0, 0, 22, 0, 0, 6, 0, 0, 88, 0, 0, 24, 0, 0, 270, 0, 0, -26, 0, 0, 0, 0, 0, 66, 0, 0, 40, 0, 0, 12, 0, 0, 42, 0, 0, 24, 0, 0, 64, 0, 0, 0, 0, 0, 52, 0, 0, 60, 0, 0, 12, 0, 0, 10, 0, 0, 16, 0, 0, 54, 0, 0, 0, 0, 0, -24, 0, 0, 172, 0, 0, 90, 0, 0, 178, 0, 0, 18, 0, 0, 48, 0, 0, 0, 0, 0, 64, 0, 0, -2, 0, 0, -76, 0, 0, 90, 0, 0, 84, 0, 0, 164, 0, 0, 0, 0, 0, 24, 0, 0, 36, 0, 0, -38, 0, 0, -176, 0, 0, 24, 0, 0, -56, 0, 0, 0, 0, 0, 16, 0, 0, -108, 0, 0, 200, 0, 0, -44, 0, 0, 72, 0, 0, 90, 0, 0, 0, 0, 0, -2, 0, 0, 10, 0, 0, -48, 0, 0, -32, 0, 0, 40, 0, 0, -12, 0, 0, 0, 0, 0, 4, 0, 0, 6, 0, 0, -224, 0, 0, 48, 0, 0, -62, 0, 0, 18, 0, 0, 0, 0, 0, 66, 0, 0, -68, 0, 0, -6, 0, 0, -96, 0, 0, 120, 0, 0, -90, 0, 0, 0, 0, 0, 64, 0, 0, -6, 0, 0, -80, 0, 0, -12, 0, 0, 94, 0, 0, 36, 0, 0, 0, 0, 0, 22, 0, 0, -84, 0, 0, 126, 0, 0, 22, 0, 0, 158, 0, 0, -184, 0, 0, 0, 0, 0, -104, 0, 0, 4, 0, 0, -96, 0, 0, 150, 0, 0, -290, 0, 0, -12, 0, 0, 0, 0, 0, -24, 0, 0, 16, 0, 0, 70, 0, 0, 88, 0, 0, 294, 0, 0, 90, 0, 0, 0, 0, 0, 18, 0, 0, -54, 0, 0, 184, 0, 0, -96, 0, 0, -32, 0, 0, 156, 0, 0, 0, 0, 0, -18, 0, 0, -86, 0, 0, 36, 0, 0, 2, 0, 0, 134, 0, 0, -44, 0, 0, 0, 0, 0, -114, 0, 0, -8, 0, 0, -50, 0, 0, -126, 0, 0, 180, 0, 0, 28, 0, 0, 0, 0, 0, 36, 0, 0, -36, 0, 0, 42, 0, 0, 16, 0, 0, -84, 0, 0, 428, 0, 0, 0, 0, 0, 0, 0, 0, 102, 0, 0, 118, 0, 0, 0, 0, 0, 22, 0, 0, -186, 0, 0, 0, 0, 0, 34, 0, 0, -100, 0, 0, 210, 0, 0, 114, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, -116, 0, 0, 42, 0, 0, -24, 0, 0, -30, 0, 0, -184, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 52, 0, 0, 208, 0, 0, 282, 0, 0, -188, 0, 0, 0, 0, 0, -194, 0, 0, 108, 0, 0, 8, 0, 0, 22, 0, 0, -8, 0, 0, -54, 0, 0, 0, 0, 0, 6, 0, 0, 22, 0, 0, -66, 0, 0, -186, 0, 0, 88, 0, 0, -312, 0, 0, 0, 0, 0, -290, 0, 0, 24, 0, 0, -144, 0, 0, -48, 0, 0, -134, 0, 0, 270, 0, 0, 0, 0, 0, -144, 0, 0, 258, 0, 0, -26, 0, 0, -224, 0, 0, -6, 0, 0, 318, 0, 0, 0, 0, 0, -40, 0, 0, -198, 0, 0, -266, 0, 0, 66, 0, 0, -72, 0, 0, 36, 0, 0, 0, 0, 0, 40, 0, 0, -212, 0, 0, 234, 0, 0, -152, 0, 0, 12, 0, 0, -266, 0, 0, 0, 0, 0, 90, 0, 0, 42, 0, 0, -200, 0, 0, 42, 0, 0, -80, 0, 0, 24, 0, 0, 0, 0, 0, -168, 0, 0, 106, 0, 0, 64, 0, 0, 112, 0, 0, 48, 0, 0, -72, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -166, 0, 0, 52, 0, 0, -372, 0, 0, 192, 0, 0, 0, 0, 0, 60, 0, 0, -350, 0, 0, 168, 0, 0, 362, 0, 0, 12, 0, 0, -272, 0, 0, 0, 0, 0, 136, 0, 0, 10, 0, 0, 96, 0, 0, -192, 0, 0, 86, 0, 0, 16, 0, 0, 0, 0, 0, 102, 0, 0, 64, 0, 0, 54, 0, 0, -50, 0, 0, -84, 0, 0, 42, 0, 0, 0, 0, 0, -4, 0, 0, -228, 0, 0, 166, 0, 0, -24, 0, 0, -206, 0, 0, -306, 0, 0, 0, 0, 0, 172, 0, 0, 216, 0, 0, -90, 0, 0, 252, 0, 0, 90, 0, 0, 82, 0, 0, 0, 0, 0, 24, 0, 0, 178, 0, 0, 52, 0, 0, 0, 0, 0, 592, 0, 0, 18, 0, 0, 0, 0, 0, -54, 0, 0, 34, 0, 0, 48, 0, 0, 108, 0, 0, -330, 0, 0, 158, 0, 0, 0, 0, 0, 144, 0, 0, 156, 0, 0, 180, 0, 0, 64, 0, 0, -68, 0, 0, 276, 0, 0, 0, 0, 0, -2, 0, 0, 108, 0, 0, -78, 0, 0, 354, 0, 0, -76, 0, 0, 112, 0, 0, 0, 0, 0, 46, 0, 0, 90], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49076064
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 247697979538939650, 'target_is_minimal': False, 'target_label': '7938.2.a.cd.1.4', 'target_level': 7938, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49076065
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 324259173204238082, 'target_is_minimal': False, 'target_label': '7938.2.a.cu.1.1', 'target_level': 7938, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49076066
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 247697979538939650, 'target_is_minimal': False, 'target_label': '7938.2.a.cd.1.1', 'target_level': 7938, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 49076067
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 589, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 67554338041496434, 'target_is_minimal': True, 'target_label': '882.2.f.p.589.4', 'target_level': 882, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49076068
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 883, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81065136923609686, 'target_is_minimal': False, 'target_label': '2646.2.f.s.883.1', 'target_level': 2646, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49076069
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 295, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67554338041496434, 'target_is_minimal': True, 'target_label': '882.2.f.p.295.3', 'target_level': 882, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49076070
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 1765, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81065136923609686, 'target_is_minimal': False, 'target_label': '2646.2.f.s.1765.1', 'target_level': 2646, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 49076071
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 324259173204238082, 'target_is_minimal': False, 'target_label': '7938.2.a.cu.1.4', 'target_level': 7938, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 49076072
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 67, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561674735190898, 'target_is_minimal': False, 'target_label': '882.2.h.r.67.1', 'target_level': 882, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49076073
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 667, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 81065274362563158, 'target_is_minimal': False, 'target_label': '2646.2.h.s.667.4', 'target_level': 2646, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49076074
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 655, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568667831501682, 'target_is_minimal': False, 'target_label': '882.2.e.t.655.2', 'target_level': 882, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49076075
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 373, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 85568667831501682, 'target_is_minimal': False, 'target_label': '882.2.e.t.373.3', 'target_level': 882, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 49076076
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 883, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 81065136923609686, 'target_is_minimal': False, 'target_label': '2646.2.f.s.883.4', 'target_level': 2646, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 49076077
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 361, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 81065274362563158, 'target_is_minimal': False, 'target_label': '2646.2.h.s.361.4', 'target_level': 2646, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 49076078
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 589, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67554338041496434, 'target_is_minimal': True, 'target_label': '882.2.f.p.589.1', 'target_level': 882, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 49076079
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 655, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 85568667831501682, 'target_is_minimal': False, 'target_label': '882.2.e.t.655.3', 'target_level': 882, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 49076080
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 1549, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561468576762454, 'target_is_minimal': False, 'target_label': '2646.2.e.r.1549.1', 'target_level': 2646, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 49076081
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 667, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81065274362563158, 'target_is_minimal': False, 'target_label': '2646.2.h.s.667.1', 'target_level': 2646, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 49076082
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 79, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561674735190898, 'target_is_minimal': False, 'target_label': '882.2.h.r.79.1', 'target_level': 882, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 49076083
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 1765, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 81065136923609686, 'target_is_minimal': False, 'target_label': '2646.2.f.s.1765.4', 'target_level': 2646, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 49076084
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 373, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568667831501682, 'target_is_minimal': False, 'target_label': '882.2.e.t.373.2', 'target_level': 882, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 49076085
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 2125, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 76561468576762454, 'target_is_minimal': False, 'target_label': '2646.2.e.r.2125.4', 'target_level': 2646, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 49076086
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 295, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554338041496434, 'target_is_minimal': True, 'target_label': '882.2.f.p.295.2', 'target_level': 882, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 49076087
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 67, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 76561674735190898, 'target_is_minimal': False, 'target_label': '882.2.h.r.67.4', 'target_level': 882, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 49076088
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 1549, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 76561468576762454, 'target_is_minimal': False, 'target_label': '2646.2.e.r.1549.4', 'target_level': 2646, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.52', 'twisting_conrey_index': 52, 'weight': 2}
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id: 49076089
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 2125, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561468576762454, 'target_is_minimal': False, 'target_label': '2646.2.e.r.2125.1', 'target_level': 2646, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 49076090
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 79, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 76561674735190898, 'target_is_minimal': False, 'target_label': '882.2.h.r.79.4', 'target_level': 882, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 49076091
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 247697979538939650, 'source_is_minimal': False, 'source_label': '7938.2.a.cd.1.4', 'source_level': 7938, 'target_conrey_index': 361, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81065274362563158, 'target_is_minimal': False, 'target_label': '2646.2.h.s.361.1', 'target_level': 2646, 'twist_class_label': '882.2.f.p.295.2', 'twist_class_level': 882, 'twisting_char_label': '63.61', 'twisting_conrey_index': 61, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4614975
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 247697979538939650, 'p': 2}
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id: 4614976
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 247697979538939650, 'p': 3}
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id: 4614977
{'charpoly_factorization': [[[49, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 247697979538939650, 'p': 5}
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id: 4614978
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 247697979538939650, 'p': 7}
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id: 4614979
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 247697979538939650, 'p': 11}
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id: 4614980
{'charpoly_factorization': [[[-18, 0, 1], 2]], 'hecke_orbit_code': 247697979538939650, 'p': 13}
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id: 4614981
{'charpoly_factorization': [[[-2, 0, 1], 2]], 'hecke_orbit_code': 247697979538939650, 'p': 17}
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id: 4614982
{'charpoly_factorization': [[[25, 0, -40, 0, 1], 1]], 'hecke_orbit_code': 247697979538939650, 'p': 19}
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id: 4614983
{'charpoly_factorization': [[[-59, -2, 1], 2]], 'hecke_orbit_code': 247697979538939650, 'p': 23}
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id: 4614984
{'charpoly_factorization': [[[10, 10, 1], 2]], 'hecke_orbit_code': 247697979538939650, 'p': 29}
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id: 4614985
{'charpoly_factorization': [[[-30, 0, 1], 2]], 'hecke_orbit_code': 247697979538939650, 'p': 31}
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id: 4614986
{'charpoly_factorization': [[[-56, 4, 1], 2]], 'hecke_orbit_code': 247697979538939650, 'p': 37}
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id: 4614987
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 247697979538939650, 'p': 41}
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id: 4614988
{'charpoly_factorization': [[[10, -10, 1], 2]], 'hecke_orbit_code': 247697979538939650, 'p': 43}
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id: 4614989
{'charpoly_factorization': [[[784, 0, -64, 0, 1], 1]], 'hecke_orbit_code': 247697979538939650, 'p': 47}
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id: 4614990
{'charpoly_factorization': [[[-134, 2, 1], 2]], 'hecke_orbit_code': 247697979538939650, 'p': 53}
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id: 4614991
{'charpoly_factorization': [[[484, 0, -76, 0, 1], 1]], 'hecke_orbit_code': 247697979538939650, 'p': 59}
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id: 4614992
{'charpoly_factorization': [[[25, 0, -40, 0, 1], 1]], 'hecke_orbit_code': 247697979538939650, 'p': 61}
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id: 4614993
{'charpoly_factorization': [[[-6, 6, 1], 2]], 'hecke_orbit_code': 247697979538939650, 'p': 67}
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id: 4614994
{'charpoly_factorization': [[[21, -12, 1], 2]], 'hecke_orbit_code': 247697979538939650, 'p': 71}
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id: 4614995
{'charpoly_factorization': [[[4624, 0, -256, 0, 1], 1]], 'hecke_orbit_code': 247697979538939650, 'p': 73}
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id: 4614996
{'charpoly_factorization': [[[-11, -4, 1], 2]], 'hecke_orbit_code': 247697979538939650, 'p': 79}
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id: 4614997
{'charpoly_factorization': [[[484, 0, -76, 0, 1], 1]], 'hecke_orbit_code': 247697979538939650, 'p': 83}
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id: 4614998
{'charpoly_factorization': [[[-50, 0, 1], 2]], 'hecke_orbit_code': 247697979538939650, 'p': 89}
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id: 4614999
{'charpoly_factorization': [[[71824, 0, -544, 0, 1], 1]], 'hecke_orbit_code': 247697979538939650, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 56, 'label': '7938.2.a.cd', 'level': 7938, 'portrait': 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w9fC4Q1bJo2zE8lrHQDukPBKPZYHQi2ThmWO4bj5xQ1z2frLOzcFLJlbsTmuTFb58bs3GLZtVVx5QUeddXkyPE2Dz7r8/gLMU8fi0hUj7e9osO7XmapqzleODbNkdOaUwsJZ5ciji9aDi5ZXnL1Iv/6vatcMDfFqcUZFlZrrHQ0qz1Jp5/QHyb0R3Dw6CIHjq9d+ei+xVcePLmw58iphS/c+oZ3h/ff+bEXGxLf1ONbmsHX1jqMogQtxfsfePLwy376Vz8hv/O2gy/7R3/njD63vIXlTpuVbo3VrsdqV7Hag5VOwmonYrmTcGYNDi0JNm1a49/9wDIvvbTBiXOznF5ocnpJc27ZcnYp5uRiwkIvZnp2xMuv7XPrFeDLOoEKOLdS48yS5uyKYDCGODbUfEOzljAzFWOAY2djun3YvcWjWR9jrQDh0x8adm0ds7ymwTopstaHcQwWy0onZMdmj95QIZRFmDHtmseubSPWBoJjpzWJ0cy1Ja2aIPAgjgWDseTsiuTMsuXcakwQjMCLue2qPi+7WrCpXWd5tc2JcwGnl+DcUsy5lZhTK3Bo2XLzVUv8/A+ssnW6zfGzs5xdarC46rHUkax0Ejq9iLV+QqdvWenDqY7g7NKA//xPRvH3vK5xvz//Y8ZvXnm/EOZnjfGoN1ovNlTO+/iWZfA7PvOXXHfddfzMv/jnv/CJv/zKP/39P/nyJfuOre3Zf2ooX35Nl4u3GxKjcfeoACQWCUj3vbBoYQkknF6p8dABxbUXr3DFBSMaNfC0xPcUvq9p1iUNTzLoe+w/WuOLj/scWxjTjSP2nxizZW6Ft798lWsv6XHzFR2OLsUsDQSNYMTh05ZOt8k1F0nWRgl7jypaDc1zx+DS7ZZRmDBKfLSOmGnBvhMBSid4MkZ7MBxLXnrFgOFAcu0lCd1hwrHTLS7cqmg2QtbGls3TA1b7Xf70K/DkkYSnj4zYvX2Z6y7vMjMb8tbbenznqywXb22RRNMcOTXFoZMeJ84aTi5EnFxIOLQgOL4Wcf1li/y7H+ixZXqaE2dnObvcYGnNY7krWO0aOv2ITgbuHpztSxY6hpsuX+J/e/ui9ITcc+LE6QvXusktzfaeeqs9/aU77vgMf/RHH3mxIbPh41uSwf/iE5+k3p5Vg9Wz/+bo8bP/6pEnD6rj58ac6yqOd+HyCxb4L39/gesvbHB2eYaVTiNlcs1KV7PahdVu4qywXsxSB06sCnR9xO1Xr/Ddrwq5cHOTtX6bhZU6iys+Sx3BSsdJhNWeoTs0dMeWwShmrh2xa4sBBIFnObngIWTA7s2KC7dbtm8ecG51zFMHWtx0qaVRX+XZg7O0miFh6DE3YxiO4MpdIz7ylWkuvyBmPLbMT0miZEirFvDc0RF1r8kNl8U8fTjk3LLPjrmAC7fBrq0hSkWcXALfswhh2b0lZqYl6Q0D+gOP7sBjpatYWYPljmGlk7DUSTjbgeVRwq4dfb771UvcfoWm5rU5s9RmabXG0ppmuStY6xjWUuZe6znmPteXnF1LuPnyc/zij69w0bYWCyvTnFtusLQ2hfUvSmrNzb9w4zU7f/7Q0YXkDW96x4sNnXWPbymAHzjwArVarX761MldTz/7/HvOnT33H44cPUl3YFnpWZZ7cKYnOd5JuPGiBX7lx5e47qIGC6vTLK81WO1lcsWBvNMzrPViVnvO8z3XEZzuWxB93vWKDm99qeGibTXCsMFqp8Za36fTU6z2Bb2BYDS2hLElSUBJS+BBPbBMty2bZyO0N+LQmZBnDgaYuMmbbwnR3hqP7Z1izzb43MMxr7gmYKEzpKYVcRIxOwNx5KG9mOXlBi+/scvnHmhx4TZ49MAYjwZveqkhFkOeOZRw5GQNLX22zGhmmoJ6IPB9gRIQGwgjyyiE3sCy1jf0Boa1gWG5bxkmCbt3DnjrrR3e9bIQTIvltSkWVuosdzxHBh1Y6yV0+jFrvYS1vmV1AGd7ioVuwk2XnuOX3rfIlbsanFuZYWmtycpajaU1j3MrMDWzjU2btvyfF+y+7M927Nh5fDweDS+77PIXG0r541sG4CePH2Drlnl/775DP7T/hYMfeOKJp8RabyCjyNIfGrrphVvtC871FSd7ES+5ZIFf+pFlbry0xtLqNEudJqvdgE7PZ7WnWesJOj1Lp5+w1ovp9A2rfctCT3CmY5iZHvCGm3vcdkXM7i2Kdt2j26sReBJQhHEauFoYjABhmGmNOHDKYmzIXY82GQ/qXLLD5/ZrB0RmjXsen+aGSz0OnO3TWW1z67UDvvRYwJZZy95jlp98Z5e9RwO2zEq++Lji9isVK4Muh0/McsNlIfc8MyQeN7jtKp+LLxgxjPvc+ZiCRHDopKbd0GgBg6HEWEFiLFEMSIP2DZ2+pdmKuGDbmJddOeANN8XMNWucW5liea3Oatedm9WuoNOHTi+m249Z6xs6A8PKQHK2J1jqJdxy+QL/4ccWuXZPjYXVGVY7TdZ6Aatdn7W+TkkAkIG59PJr7J49F//EBbsv/r3VlaXw6qu+NUD+LQHw8TiSw+Hw7V/+0hcu0Sr65UceedSLYkGcwCg0DEYJg2EqG4aWtYFgYaA42Um47YpzvP/HlrjpIp+1XpvF1Radfo21nrsInZ6iM4Be39IdxHT7Cf2hoTOwLPYFi32IkjHXXTpk62xCf2B5y61j9mw1xIlES0sYwd1P1Ti+UGPbTMyzh2pgGlyxU3Hj5YagNuCxAwMWl5pcvadJe3qVB572eMmlNZYHa6yuttm61fLwXsX3vbbPI3s1Ozd7LPU7rK7McuOVAx54NmG2Ps3Vl/RZ6HR4+Plp6rrJzZdbLts1AtnnqSOCzbMR5xYj7nnKYxQppITEWPZsC3nDrSG9vmL7jOHGSyEMG06+dQLW+h7dgaLTl3T70B0kdPsJvUGSkodlZSg51RV0hiG3X7bIv//RFW66tMbZ5WlWuw06/YBu36M70HQHisFIMBzDaJwwChNuuOElUbsV/Iu3vPktB+v12mek8syLja0XPZM5HAwIw9EPPPfck//12NFDs6PBMrVAoZRgHFmMBZNYjLEkRrjUvLUIkSCF4pEDW/jZD3q88/YVvue1K1y4I+TscpvAr1MPfBqBR7Ou6dUlraHHVFMzGDkbbMvYMBxbeqOAlcUaJ09Ywthw6mxMEFhA4CuLloLBUCHwiAea6/cILt5u2bVjwDjp8flHFPsOzvDGmwJuvHKVP/i8xRcN9uwY8PQDih3Tivn2gJqqE0YeCz1o1jQ7twie3Bdy42V1XnXDEr9/xxDfa/H6WyxeMODLD4d87qEmzx+pc9H2Bnu2JWyaCblwPuKaPQlKGbSygKURBGyaDggjj97A59kDHv2RZjBU9EeS/hD6I0t/4D57b5jQH1q6Q0tnCIsDxdlVS2Oqw0+9ZZG/c1vItRc2Ob3UptOr0+0H9AYe/aFiMJaMQsE4dBIpTgTGCB5//DFv+7bN/3Xzpi0rN9x44z8ZDAa/32g0/tcF+Hg8QCB+9MC+h9//zOP3zIajLr6nsFYgBQgEWAnWYrFYm3kmFiksSiT4SvLswXmeeKHBgdMLvPNlfV521YjpVpuVToNmt0Z76NMfaHrpxR6ONIOxZjS2jEJDGFmiyBIn7ghjH2tAKoGnBTVfMN0SzLRg67xh55YB8zMdvvAY3PuEhzRTvPEmj+uv6HHf8xHhqM3t1ws6wyELy01uu8wwPz2grgNGsWKxG6GM4PrLNI3WmMf313jljVPcel2Px/crsFPcdJXPj7xthS89GfLFR5rsPV5j1ybF1tk6M60GUy2oB+Bpi5JgLOw9IkgSQRQLwhjGEe4zjhOGY8NobBiMDIOxoT+E7hgW+5LFPozMiNfdsMLbX9bh777eEkUtzi616A5q9AY+3YGmP9T0R5LBSDIawyi0jENDFBvi2JIYw8HDpzi3+PnZlc74P73h9a/U/f7gg83miwfyFw3g49EKUiQ/cuLQfe8/fuDuzU1vgD+riWNLFFu0EkgpEEIghAIhUtYGKV0WUSmLpxJqWrI0qPMnX9nJl5/o8opr1njv69a45sI+c9MNltca9IYBg6GXAlu5IxSMI0kUC+LYLfWudssFlVpDzYdG3TDbitixeUBMnwOnIv70nhqHTzSZDuq85CrNbdd2efiFDnc92OaWS2vs2jbgI18RKBHQbkWs9ccYC0rApvaAbs/HxHXe/ooF/uRzDS4+V+OttwwIo2XueWaOKKnx0qs289aXdLn0gg5ffnzA0ycaPHXEZ+esZLYtaAQC33M3oRQgRLriGXcO48QSRpZx5G7kUQjDEHojwepYsNIDoUdcf9ka733DGi+/KmG+VU+1dp3+0Kc/9FJgK/pDyWAsU1liGY0N4yghjBzAHUHA0toKZ/7ii5u7Q/v+t73p5fbswuqHtm6e+dsP8KU1i9KI6Z6wnaW/+MFwPPrlztkX5mt6wMxUkC55kjAWhLFEKVDSAV1K5cAtstcMWhk8ZfG1oaYFqyPFSmeGj93d5KFn+9x+3Rrvff0aN1zcYS6pE8cBg1GN/tBjONaEkSKKJXEiSYzAWJGvDoFvaNRiAj/E98acWh5zx6OSgyd9jpycQZmAi7f5XHmh4qYruqhgkWcOtdgx3eDqi2DrplVWum2u2SGJjeULjwSMB5LpZsybXjriM/dEHD/b4vJLPM6sjXjusMcFW2a47sJF7nu6xwPPCcahzxUXznLFBQFX7Oxx6MwKB0/BI/saHDjcpKEFgZY0A0vNAyndCmetu1njBMIYwkTQHwu6I0E3gtDEGDvi5ku7vPcNXV5xTcK22YDhaIrlTo3eIKA/8hmkwB6MFMOxYDAqgTtMGIeGMHJHFDnHKUwgDAWnV9b44B9/ZfMDzy/8cr3div/Rf/riH2yqPce/+Yf/8G8vwJNkBKL2iiODxz4kOr8+W5cL8zXdYKbdwPdgNNaMQ804kowji5YSJQVKCfcsnTZXyqBUgqcFvmfwPUvgWRp+wnRN0Bt7rHZn+Pi9bb7y1IgtMwPe8+oOV1wwYjTsc/WFlgu2KsaRR5IoEiOxGbilwdMJx85ZjpwVrA0Nn76vwamlGWzoMVNTbJ/T7N6quWgHXH1xFyOX+J3PNFlZmeKWKzRXX9zhy08JROyxeUbSbMQMIh9pJViJ0j6dkeDciuAq2+DVN/W4//E62+d9brl6lh9+2xK/97kej+xv0h95LK+1uHB7ncu3DXjpZT2+45U9Tq+s8On7ApYHAcfOeJw65eMpgZQSgcBYS2IgMpYkNszMRVx71YDxOOKKC8a8+9VjNk8pZlsBUVTjzGKN/tBnOPYYjDTDcQZsyXAsGI5FKksM4zBhNHbAHkfpKhFnqwWMIkF/rDiy2uXBAw/Ov/qmmf/+plfNRn/wuc5HP/TRX+VH/u4//tsH8Pf9+4+yZa4mfu9Pf/PCtaV9l+2Z38ebb3FVfkLINGAyeNqgI40eK7SyabmoREnQSqCVRKfa2PMMvk4cg3uWemRphJapWsJMXTAIJb2wyZGTTX7po7NgYkQcc9O1Ay7cGhLHYKzBWpfEkUIglUB7PvuP++w9WKNZ07R8yXxDsGlOsnlWs32TYve2hMt3r5GIZX7tE22OHZ/mlss8rtiTMIx7PPhMwHTdY27KMt0KadSdFDJG0hkpVvqW5U5Cp1/n5Vev8ejeAfuOK6bbNV561TQ/9vZlfv2T8PjBJv2hZa2nObfSZut8g80zI3bPjfhn3zWg3ejw9BHYf0LieRalLEIYwLr/WYhj2LM14fZrYpLII4oDrG0wCj3OLjlQD8eaUahy+TYMBaMU3KMQxmGJtUOTxy4FwGEUwTgS9ENBJ5SsRDDsDRGjx6c31bb/7n/5B5fEr3vdmz72ntf8mm3v+P+Gyf8/Afjf/w9/xrYts+q9P/uH7/qtTyz9zqNPnuR1N0xx4bYul+3s5IzsWNlHhwZPKbxQoZXC0xKtJL6WDthauDS7Jxl7kiBMGEeWemQYR4YwtLRjGEeGcQxhLBhFknESECU19h1s8tQ+SKzFQdtpY0+Cr1zNRyuAq7dBuw5TTclMSzE3rdk8C7u2jtm2aY3IrvBrn5ji0OEpbrxIcdFOycU7V/nqczHnlqe46ULJTNtQ84cEMsAqQZxIhLXESchqv8a5ZY8br6hz/WU97nu8xpYZQaPW4sbLDD/1rmX++ycNz51qsdY3rPUUi6ua+ekmM+06M+0p2o2ITc2I3TeGBF6Mp2OUSpDCBRMWd1NFkWJhURPFiihWhJFiHKXPoXSrZigZhZJxKBwTh4JxGki681qc33FUOmLH2qMIBqGgE0lWx5bxaMT1lyzzk9+9xm1XLDSs5/1B98TnjPR3f6Jz4gPJ1AU/8Tcf4O//b3/MXEurF06fevex42d//9Gnz9QisZnPP9zA05Kf/7E1Lt/RRWcAVwlae3jaw9MaT1u8UOFpy1jbtIZEMAoFgScY+4owki6ajyxhnDhXJC4dCcSJJUkMicHpbUMObiFwK4QEz4NAC2qBoBFImg3FVEMyMyXYPBuze+uAVnONT9wfcs8zs6wttbl2l2L3No9LLxiRiDW+8EiDpqfZNKNoNUY8cwjXcX+BZTBWXHdpxLUXW86eSVhc9RmOGrz5JT2+9vSQA6cUzbok8Ntcc5Hh539wmbufG/KZu+dZ7lp2b05Y7Wim24qppker4dGsW2qBIfANgU7QyuaBODgWd5WWgthI4kQQx4IodvFOFEnGkXNewkgQRpYwJA8gw4w4MrYOnd52cgTGsWAQCfqRoBMJumODjQbcuGuFn/vRJd70EugPZhj0jtbiqPGHkWz/vdDs+PPDz/5RctE17/2bDfDZppXDUfd7Fs+c/M1Th4/XtrY91iJFT03xlw9qwlDxna/u8l2v6TLXjujpOp728XSSgjzB8zR+qPC1IvAc2wR+elHyQxHFLkiNYluK6i1xYkgS5y4kNnVKUrdECOEcGSnQWuBrQeBLaoGkWRe0G5bplmHL7JhNMz1iu8bHvib5vc/NsblW49pdgl3bPPZsN+zetsonHrSsrNS4Yqtipg2tRsS5o5KF1QD/QreEb5qSTE/DgSOW1a7h7FKNS/fUeO1NPe64t8ZcCwLfR8lprrlY8ONvXcCTC/zlfTM8f6rGlm7E5umYqaaiVVc06pJ6oAl8CDzQ2jqQp0F5DnLcjZ0YSBKXSHNAhyixhDFEUeJIIQV0FBvC2BBGzvPOgD2OYBQLxjH0I0k3EvQiGI4i2n6X7/62Jb7rVX1ed4NgrdtmMKoxCn2Gq6drsZz5XaubGuH/MY5n/mYC/A//+FOYxPzgvhcO/+eTx4+3t04p+mODJwRaSDqyyRceVTz4XI2zq0v85Lv6zLYjRkGd7iDB0wm+5+GHCb7WBF62tErCyKXSw0g41yVy/m8US+IYogSS1LZySSL3bDMfEMfcQrgg1ul6B5BaAI2aoVWPmW7FbJoeMj+zxv37Qv7wrjr7j0yzZ8rj4q2wc6vPzi1w+a4ug7jLw3vb1JXHphnFdAumW2NmpmJ8XyOEu7mGY5+VbsTawNLpxyys+uza2uLWKxa465EB+0+1aQQRnvIRYoqLdyi+//VL3Hz5An94V4uHn51mua/Z3I6ZbsQ0apJ6TRF4gsCTeJ6LVZQitQ8dyi2uh9UYcqDHiUlXt9RajA1xYghjVwIQpcFjFLsbIIxTYEeCYQy9SNJLoD80mGjIXL3LT3znMv/H9wyp+QFr3YYD9zhgMPIZjHxWOqfbftP/te07rvSfeuQzv3f9S9/+Nw/g3W4XKeWP/vGffuL9p0+fnqsHkizwEYAU1oG8Xacz0vznP/PZe2iFt7+yz6uv77Jlfky3V2c49vE9n8DXhFF2qBzgUSQJY7fsRnHqaSek1h8pc0uMpQC3S1KmzA1auYSJ71lqvqFei2nVYmbaY7bNdznXGfCBT3t84dFZVlabXLJJsGuzYMdmn52bBRduH6H9Nf7kHs3hE00u2yKZaUmmmglSjjm1aAm0RAqwVhBGmt2buzxCQnegWO1azq3UuWxnje94dYc//7LP0XMBno4QwsPYJlEsuenCVXZ/b5cvPD7gI1+Y5bGjTXbMCOabCc1aQs13ss33XKyiFS5wliKvycgSZsbinJbEAT4DeZw4Sed8dErATpNHiQP2IJL0YhhEhrgfsnO+y6tuWuMdr+jz5pstkibLq3XGYcBw7DMaewxGPv2RRxgrVs+emQuau3/51le8Q/V6vQ+2Wv9zasr/pwC81+uitf7hhx964P1HDr+wueaLFGQWk4JMCFDCoIWgK3164xn+5O6Au5/pcuPlXb73dUPeeusa89MBg5E7SVHkEcYeYaTzQCmOnZcdJZm2lCSJIDGi0NpGkKsS6/62FC5R5JJFBt8zBH5CPYhp1cfMT/cZRkO+/IzlT786xcPPTjPje1yzw7JtVrJlzmf7JsnOLSEX7Vjl6aNDPv21TUwpzaYpQbspaDciOoOEzz1Yo+VbhHDAGo41b799zGcfcjUxnb5hYVWzc3OLd76sz8P7euw94NMMYpQUDuSmwSh0Wv/7X9vhsm0L/MndXR54fprjq3W2tgVTNUvDN9S0wfec66Sku5Edk0NWfmRSqWZMscLFKdAdQUCUCKKkAPYoFvRjwSDBxTxhSLM+4LvfuMr3vL7DTZcZNs949Ad11noBYRiUmr1Tp2bsgtvBSPLMsy9sFvrB99962+2m0+l+eGqq/a0N8OFwmX43QUl+4PFHH/yV+752z1y3s4avJbE2JMY6sFlHoUJYpARPGnwp6XlNTnYDTj/U5KFn+vz5tV3e/doBb7p9xNy0z3jsai3C2COKvNwRiBNFHEtiI0mSAuDGpsxtipoyIWwaVLo6Dq0NvpcQ+BH1IKRVH5Iw5EuPSz76lWmePTKFiAL2zFi2TVvmpxWbZn22zku2b4rYtbXLicUev/WZJvG4zs6dgumWpt2EdiNCeCHdYZPplkUIgbUQxZLZQBGbmF7k0xskrHYVpxbrXHVRi/d9+xq//McBxxabaBWlN4YmjmuMQsnWuYCbLuly7UV9njt2ij/9ap27HpvmdKdOM1C0fGh6Fl9bPAVaunS+ENXqOgNY4266xAgSC3EinH+eCJe0SQTDRDBMYJRYojjGhCFztQFvft0a73ldj1dcE9OuaaK4ycpawDh012kceoxCl9sYpTakk5cuubbaWePer92zObH8yktuvjk+dfLU/wiaTeZnpr81Ad7tDtF+/R1HDt7/6888eXd7eXUMQiJlgtbgJYLEs9gM3EKkNSXgKUsgBT3pMYwVC+OAv3yowT3PDnjpF/v8w+/sceWuLpunFW2pCSOfMPaIY52D3IFbkhjXo+nqskSefnfMbVDKopVB65jAj/FUSHcYsdiN+G+fqHFkYYbH905jjc9cXbB53jI/JZhrK+amPbbMSbbOxezYNGBuepUvPGF47Plprt0pmGlJWg1Ju2Fo1kOENyYINNpVG7gsYyIZjjXDUURsBL2hode3rHQ9zi63ue3yPrdetcaffLFGfUWhZeQAaTVx4hNGrsdzfrrGzRf3ufmSPo+86jTHFiV/eNc0C2sNTi4H+ErS9AR+JsOkTWt8SFOeqVTBMXlsBbGByAjGCYxiCI2FJIY4QqkxO2aGXLPbXY+XXJnQrmviuEmnHzAOfaJIM47cKjuOPMahY+xxqAjDFNyxW1k9T9Hrd/jLz31prhfx62969c2rvf7w03+dmPxrA/ihwwfZvHmH+rXf+ugl+/fva0fDNVrNwBVICZeJ9DQp2CwiB7nTwV4MvoS6NgxjQd/zGcYey2GDux6b4v7nhzSDMX/vLR0umIvZvX3IbVf30MK1iAnh5IrLSrpaaWtLzI1FSFegNY4slhhkzHNHJI/u09zxcIvnjrcI4wYtrdhUt8w2LTMN63zwtmZ2SjM3Ldg6G7N905Btm1a559kxv3PHZrZNaza1od1UtJuCViOmHoy5/wXFKNR4TQcqa10ZQk0rbrhsyEPPTLvCp2HCWtdjaS3g3NIM73vrOU4uLfPQk5vwJCAiDBDHOmVHSX+omWnVmG43ufWyAa+6dsD3vmaRfScMn324xsP76rxwuEksNOOxYhAplJBpfU858ExzAtYQG4s1Bk8kTPkhNSJuvbHPhdtG7JyPeO+bxtR9RbOmCaMGnZ5PGHlEkU5XVpU6Wjr32cMo9dkj5WKkdNWQAuo1zbTuweq97eefOHPJzbd/rzp48GByySWXfOsA/ImnnmMcN/2nnnz0h7bN8Z/3xV201iSJU76uMEqg08yaJasITAO92OJJgVYWP7EEStBIYKQFw0SnR41eL+FX/mQGG0ds2TTiql0j5qZi3v3aIbs2h0SRSPW2hBJzk+pPKQ1CCj5+d52nDzURWnPsdINT5xrU6oqpQDDdtLRrhnYNWnXBVEPRbilmWpq5aZifjtkyN2LH5i6JXePjX2sz7De5dKel3VC0GpJW3dCqxXheyBceqjEeSLzNrls0kyjNuuLNLx1y7xOG/ljSHyZ0B5q1nubscoMrL2zx7ld0efy5BsdWWihpgCjVyx5R4pb7USjpjzSdvk+r3qBZH3PlzhG3XD7ixEKHo2fW0F7CU4c1f/7VBkIpB+7J+YPWAAasJQoTdm+Jec9rh8y3Ey7fbdkyB0nsMQ5bxLHrmopid8SxJkoUUaSIkhTgkSRM4yPndKWeeyzS8lr3Z5UCIX0OHOkxxv5n4T88uOnm7b938uhT4c49139rAPzAoWNoffay7trpDxze/6hs1TVxYnNLSkmwCvJILw3ypAQZO42olUXHTgNG2kXy9QRaiSVMBGMjGCceY+MRG1jst/nq0wZLwqcediMbsCY9sixeapGlFYlCSKRSxJFGGo2nJa0ALtxkaXqGRmBoBNAIBM26pFVXtBuaqZZkpg1zUzGbZsZs39QjYZX/9hc17ntmMxfPwUwjZe+GpFWPadRDmo0h9XqDQEmUTDU4Tg5EkcdoKBiOE3pjRX9k6A2Na5lr+pw8N8XLrxrzU991jv/655rjawFCGKyNMIklij3CSDIauxrt1lDTrPk06jUaQYNaENGqh9x0aYjvRbzk0pj3vm6AVnGaBDIIYauiPJV0xkiEkASeAnxGY83yqnZ1O0kW87hnJw+dpo5iFwtlQX/mahXPDtxxkibb0iB3bARRZLnv/kfkVMt84PC+3tf6g/Gzfx3Y/H8N8M9/7lNsmq/Xn3r20LuefvYFUdMKrYQLjIzACEuMKdr3ReFiZDZdFGeZROtasJIsoic9GZbYCGJjiVKNGBtJZCWJ0UQmIEltr/Ijz1IK0EK4TKWCWt1S05aaSgg8CDTUfEs9ENR9SaMuadS0A3hTMN0yzLZj5qbHbJ7ts33zMr9zh+Ejd23hgmnFfMvQbipaDUWzAY16QqsecWbZcOhMQM135beQVfoJRqHmwq2GrfMjuiOf4cimLC5Z62la9RqtxjTvfd0Ch8+c5Xc/vQMtNRZDYhJ3LmLNOFQMQ1cUNahJGiNNPfCoBwmdnosxfC9JE2YJWrpGCSldOl+kh3Nw02p761bCjkmrLI2La1x8U8Q6cek5ToRzslLL1gFepPatc2Pi1MJN0kDW5SgyT17QrGte2LdXdLvxu9ozFx765Cc/NXznO//OiwvwG6+I/NXV4z/js/AzM41YOg1MyprOsUBIRGLcQIdcLoCUApVG+NkHTgx4qVWVpPaVOyyJTU9OlqywYKzIA6Wy5ob0Jkp1vpYGLUEr5yx4SuBp63xjLagFkpovqQeKek3RqktaDctUM2G6FTPbHjM/M2DXlmUefmHMn9y9nZlawJaWod0QDtx1SbNmaNZiWo0xD++Hp/Y1uGSTTXVvkTYfjhUvudxy6a4hjzw7zWBsGY4S+kOdgtyjUatTr03z3a9c4akXFnho71awCmMSd9PHljiyeT3JcKxpjCz1mqLmGwLfI/ATAm3QOnGFbMq42h9pkdKVBiMsgkLPFcG5SM9vBnLXUJF/bUQKcpGDuvh68iC1ccnzE9m1NXkSDo6eHsmza6f+TWvO97Xf/AUgfNEAvrrWlyYZ/Nzw5G/8k2i45Dfqdcahe/PCghECIwRCGKSQJMIijDuxibQoaUmUQCc2ZWkwCcTGNdOa9CQ4G6tItafDq/LkTSnzXllx5cRKoWSasVSUirZc9i/wFbVAUQ8EjbqgVbe0GwlTzZjp1pi5qSHbN63y0P4hP/f7Wzh+cpqL5g3TDWjXFc26olmDZi2hXovwvRGdkUVJhacsUhbvLANGFPu06xGD2DAYu/15BqOE3kDSqSsavYBa0GLP1oif/6EO//YPJA/u3YJFYawhSQxxEqepdMUoVAwDSX2sqPmSwLcEviLQBs9zfr+r0HROkpQWlcoUIey6Bl2TxjHO2nWsntXNJ0Zg8nyDc4ZiIxxwE+FW3KTE2OmqPAlsZx3b/OswNBw9dcKf3+n9i1/8lz/s/dP3Df5PqRp/5XT+Xxng/X4PY5JfuPOu+/73p55Yqs2kjklW4OMADkaCNBKTAlulYE6kJVEWk1gS5S66Nun3hrxj3JTu8Jyts2DV5nK7AvBslchWCpU2SSjl7LK83Fa7mhbfU9QCN5KhHliaNUOrkdBuREy1QmbbQ7ZvWuOhfQP+7e/Ns//4LLtnncPSqkuaDenYu25p1BIatYgoCfmjL7aQSuFJZ4XmDG5Fuqx7fP8bV7nzsZBeGDBIAd4fKnp9RSfQ1PyAwGtz+QUx/+FHlvnXvyd44NktGCtJjEurR7ErNBuHhnHNlbsGgaDmCQLfZTZ9bfOMrVYGqdzKKYVFZM9lhrAZyMkZPZswYLKvU2mRpMm0THo4gLvXslU5A7YxBVkV1zUFeeq4bZkL2D51tvbsU/f/42tveI3odHo/OzX1V8t0/pUBfvDgYYwxtz7/3NP1Xs9DS0ngpRkzBdI6cBfZMoE0AiMtytqi+EllDcXZnVzUjbgT6U6ETcFtUwZPs/7YifeVAVwKENLND5El9tY6qzuReJ509Ru+oBa4mSeNIKFZd+BuN0Om20M2TXd4eN+An/vwLM8dm2fnjGCuWZImNU2z5upX6rWYehDieWNOLc/gKYGSJrXliiAzSSRxrNg2Y4njiG5UY5i2gQ1HCb2RpD5Q1HwP36vh6Smu2BnzH354kX/5IXjo+c0kRjqAJ5YoTlImN4wDQy2UjHyVSzDPA087iebqVCxagpQ2JQKbF2ZNYNzJFbJVswgOrRWFxLApe1uRr7xlQCep5Mxa6orrmpUOuL8mlaAeeJDAI48+XZ/btOdWISV/1cdfCeBf+MKdJHHc+NRnPucP+13aLZUnMqQsmCo7MqBnd7pJgZ5Y4WohrHUnLwO6LT58ps1yOZIum/Y8702Kooiq0PkiTVu7WduFPIGaB4FvqNcs9cDp50Y9ot0ImW4OmZ/p8NiBEf/6gzM8c2wT26cVm5qGqbqgVZM0aopGXVCvuZvDpfpDHtor6I98aoo0Xe40eNaEkBhBFGuaNcVtV/d4+Lk2g8jJlOE4YTBU9AJF4Ct8z0/18zRXXmD4xR9b4Kd/Gx7Yu5nISCJj0mbpogdz7EsC3zj29oo6eq2yg1SmlBytLGbaEOSZxStK8hCSNFNsjPvaVHR1ma0LcGe9rxm4M5mZhmskxtIfCqzt8sDXvuDffOsbGvfe/cXBK1/9hv/5AD9x4gTbt++Y/sxnPvVbnoxfmWhLzZd4mrzuQZDqYlswlrWgTAnoNq0TUS5otDkTlEFdfbbW5sxNelLyiyFEfoKEEHmRkcoB7rx4Tzsm8z3wPUPNTwusgoR6Ki9a9TFTrSEzrS5PHhzzrz84w1NHN7N1WrOpYZiqQ7MmaNYVjbqikbN3Qi2IaTVG3POUz1qnxsxMkSbPAJMt51Gi2DyneN31fe551LgumtCUQC6peZKap10jiK4jpeHKCyzv/7EFfvq3LQ/s30xkNFFWAZjYnMmDSObVhb52nVGeFmgpUDo7N+TvL78JydL6GeyKhNDkYUrPuZy0JQlibQngWf2LLUmf4poKAcKANSZdKSwLy6NXHj9+9ENvfes7/v6J48fXLti1638uwHtrZzg8WPzp7srx75FmjamWTk+SzdlbZCckfedVHVc6GSX5UmhrUV26TFEBV2HuvGhLlC4IqZ4saryVKioGtcLVZ2iL57nG4ppvqPkJ9VpMoxbRrI1pNUbMTnV4/IUxP/Pb8zx5eAubpz02NxKmGjYFd8reNUk9cOxfC2IaQUhsxvTCAKEkXsbguQYXadDsLLUo8mj6I1cuENaYyUA+Shj4jsEDX6bNH9kGtJZr9lh++e+f45//puGBfVuIjGacCMIkayUT1CJD4Fl8T+Brk65eruVPpSta3tidSjpZil9cvVDldOcFa9ZWYyG3CtuKjDSmeK28Spsye2f/XnYNhSURTu5EsaBz7BxWHv6eLVufOhRF0b/8n8rga8snmZrdsftrX/zwtUSnmZ0SWExqBRb6N7/xS6C0mZ6u3PFlPVdlg1yKmHRZzE5wgfCCtctBZW5Bug4dlQZTWls85YDta5tXD9a8JNXNEfXamJn2gKlmj4f2xvzs78zzxOEtbJrSbKonTNUsrRTc9ZqzEzNw14OEmh/TbobsPWq5+/EmvpR4yqQ3fuFRZK5QlChio3n1TRGXXNTn0PE6mxpu3sgodPNMBqOUhbVCay+1VZ13ffVu+MUfX+Jf/rbha89tYhTVGSeSMLY0YidZAg8Hcp2tXibvbZUqyVc4JUUJ4KIEctbplQLkJeKprLYliZld03VSs7QqZHDJ5t7k9rJz1fa+cAIrH772n/+TH999+MjJYxdduPOvH+Bnz57D6qk9+5575Ff7/bV3CDug2dCVNztpM2Ws7S6qzW0nW2Lw/EMbKj+fXBJLsE7PeYm5y+AWFqnIVxWVZkm9lLl9bfA8Q+AZAj+m5sfUgpBGbczs1IDV3oB7n4Vf/OhWnj44z3wK7um6pVUXNGsi98qd82Ice/sO4PVgTJgkjIY1asrdZDIDTH5eUsstkcSxdlpejxmHlmEkSgA3+H6C72k8T6KVQkkvBzgCrrtQ8It/f5Vf+eOYB/bNcbrTZtSUTCeWVmyppRMHAs+m3n/mpNicvTOpkgE8f7/pmy7j3JavQwWotsrmJeBnBLYRwHPJWSIvIYp/31jLOBywsrr2jvvuezC57Zbr//HZs2eObt267a8X4L21Y4yH9VsWzu5/1+LZQ9RrGkuSOhpiHQht+ropyRRyJyQDsy2+NkUkPQnw4lFJR+QXQVDIo0wqKWnTqkHH3Fq7jn0/L4914A78FNyzfRZXh7z/jxp8+sFNLPVn2DQl2VRLwV1zuruRBpb1QNIIbMrgTnvXghAI+cqTPquRz1xApR4bUb7QToeHkaYdaF5744CH9of0ooCpyKRd7AZ/7GrVfe0ArpVFSQ8hXYIGC1dcIPmv/7DLZx8a8gsf3sLJpRmG05ppX9CKDY0YgsiNXvaVG2jkZYGmFHkQnD2XA/X8xixJzxzopesEVV1d1enV7ys3BBMENrFSu39T8exzB7hgx+Z31RuNPxoMhke/Wdx+UwCPwj7aa1x6+ujX/lHce4KZKZfqze5IjKhkEisRd0l/50mZNIDIXze2BGhR+dBVgGe6u7jTXUWizV0AmWZGnQ3mgJ2No3AtcAm+F1PzIwI/olUfovWAe55K+NDn2txx32ZC02ZzWzBfc7LEWYCZT67SQ6TMXWbvCK3H3P/8NINQs61h0xtuksHTQNO4+o2ap7j1yiGxcQAfRoJR5oaEbuSapzOLU6VAdNlHBzbB/LTge17TpxWc5sOfG3Lv83OcjeoMapJ2bGlq60Cu0zhE2TQusSnIU2JI45esHksiqvJz8mrkDDwB2Elwl3GxDuzlf2vj30+M5M67n+XCiy77R9/+lpc/0e0NDrRb33gk3DcE+JcfPkq88ilGTG9n/MKr2rXTBLpJHCdp3XVawTcBznIddkV62I1+t3ozFMDO1qqctlNg2wlpYnMfV0mTAtykNd8puJWrxQi8CN+PqHkhjcYI3x/w0bs0v/Q/NnNocRYvqLG1JZgNEtqBpRlAM+2wrwcu21lLE0KufiVJVwInT5a6Cf3Qx1cKX9o8wMzeu6XwkpM0vR3GHnVvxNbpIWuDFsNIpOPWXKzgeUlq86nU7lS5f10Erq7y8R2v6POSqxb5xT8c8ZEvbGIlbjIIPJqepK1dDU6gwVfkzRA6S/rkZoHIs8D5ud4A4BWwl66bnXyuAHoDAE/cFNn3mfGQGEFsFMcXO3zmnv2vOrVmtp882z1g7fMIcdX/O4BLkfDgybfskePHfmc6epjZqYjeYEyU1l4nma+dpnPLPnX2tanUN2wM/oL5v/5E5yyl7OxAW+juVG8raZBl5laJA7kX42snSQJ/TOANOXou5nc/2+STX5vj8LkZ2g2P2RrMBAmtwKap9wzcMgW3zJNCtVR7B767cdrNMZ+4X3PgWJ2aEi5jmDkoFCjPxzhYp8OjWHPFbnjbS3p86PNz9BuadmQZRZYgTOMGZdwAJJU5QxnIvRLK3Kqwa17ys9834NoLT/Lbd8xy+OwUK3GdgadpKkEjBbovrbtxUpepYPGilFmIdFOYsoU4Ce6Jb3IJUgKu2QDExlbZ25QNiTROS6xL8UexYDX0efDZp/nh77ngd9733de8JYx631CqfF2AR1GM1oqzJ+/bOVh97GIxWETJNrUgRGmVlk/K/GLl2cYM7Eyy9QSTU5U1cH6AC1HIkwzYhTxJp82mNRZKZuyd4KnYde54MUEwxtdjeknIBz7m8+HPbuXU8jRG1ZmdUsz6linf0EiZu5Gn72Vap5JKk9Q7z8Htu+zlOAo5cDKgHwbMBKmLkyWdMleidJHzmpRI025qLtwZooIRvbDF0BfU0xkkfiqvvFSi6Mz1EOo8wati09SA971jwLtefZYPf7bL7358jqVhk6GuUdOKhhbUlSWIrWNz6aSKloWtma2KOZNTlYcbPdbZiaxn6vOt3BWHLT1cFambvTJG8uzRPn/4yUMXdzrTO9/4iluOxlGE9jzO9/i6ADfRKWLb3tRueB8LzzzmeX5AYmJ8H1RsiJVxzcQmayrOGg5SkG/E3JQykWX2TuWInXgPLsApndy08q04+Rl7m2JClnTg1irB9yJqfojvhXRGIfc/LfnoXW0+/rU5RkkL3/eZ8wXTvqHpWxqBpeEX4K4FkiCQBKk0cYmh1JlIAe57LvN55Izl3scahJFH0LTrAsz8vOYa3J23MFJ4nuZ1L+nxJ1/qs/9kk2HNjWYYexY/Bi8yeKFBKVkMJBWyGO5TYr7EuP7URqDZMj3kn3/3gCt3jfnIXS0e3TvF4rDJSPl4nqamBXUJgUxt1MxelVlLIZWDjYC+gctVBXohR8tMbtYxdxp828JKjY0gMjAykrGFiDofvWO/922vetnHzi52rl9a6y/+lRn8/n3zclPtyVsuqH1yqllfxViFNBIpLIlM0CZj8BTcVrq0LWCNLLG2qNyx2QemdAef71EFeKkwSJiCvaVJ7cAkHwGXyRGtIzr9iPueFfz+59vc9fgUK50Wsl6jVVdMe5a2b2h4loZvqfukrO2Yux5Iar6i5gtqPmmFnknBbdzK4McoPeaFk3CqU3OJlVTfVhMnOYGnfZBpyamRhKFmS1tw6QVDnjkeM4g8xumMbz90PaueSlKJkiVqQE505uT5hdSGjBJXH/6e1w1500tX+fITPf7gC20e3dtmudegI336vsZXAl8KAulaB7V0u9QpUWJ0kZb9wnl1uS19UQZ7LkMqLC4qcsWUAJ6k7B1Z1xARpoNErTUsd0L+2x/eNfX+f/qyW2666uLP83WGB31dgK+sng4WIvWbz6280Pz2l3ZJkoDYaJJE58XvRqcAT49KLTGiwt7lWuPqXV49S+XvMmlSLs4XFWCb9DlByQQ/czNkxGIv5p7HNJ+7r8Wn751iodtE1Gp4LY+2hinPdfLUPVLZAXVfpIdMS05T3e0Lgoy9M4DrGN+Pqfkh1kZ85fGAY2fqzM8KPGnSZT4b5l9FgTVF+WmSKIZjj91bBK+7ccAnHwzpRx7DSFDzLH7sWHwc2dIqpXK/GiErMsUdsmhUMM5vrwdj3vOaIW94yTKf+lqPz97X4J6nWyx0GgyFz9DXaE+hhcCTAk9KPGFTqWWdw0JJIpYAvpFiKQM8Y+vsBs91dvrzJAW3AWILkXXMHRvSUo4ETAw2QsYjtjceaV6y46bfhNNXAsO/EsCf2fccyys9PvMpwczPCF5/y5Bw6BFLjVHKAdyoFNipVMlAnUmUXKqIieWqOCW5wT+B8MzrJgN1/uyALVKAa53g64haLWI0Tth/Co6eVvzpF6f4/KNtFlab4NXQbY+GkrQ8S0sb6p6l7kHNc+CueW4moSszlaVDpD+3KchNDnLfc+1ph04bnjkSgOely7wtpehFherKLoGrlRbEiRvnfM2FY67a2WffqQbDmqARC4LIMlak1p6pjJMuLMhCq+RLfWpFGqPS6QMeo9CjXh/zg28e8/bb1rjzsT5/9qUGR0/X2HeqQbgWEAeakdZIJV06H9wo6zTgzIJQJUr5iA3IaZLBsxXcZIxNUaKRQC5NjM1G7KXFLTZ2h3HDEF97a4d/9v0rJN0Xpgfe9//d/tB+qFnfOCg4L8CtPSLCcPiPvvCZX59fu6bPfc9q3nDrGD9wOyokoZsrmIE862Q36aztjEUK3Z2xdpm9i0KebCBPzumiHFiagrWFSQGeEARukmqcJJxdhi9+VXPoZJ27H65zarXOodNNCAJUQ1PTiqa2NLVxLoJnCbQbHB94pCDODpkeKgU4qeZOwe0lBJ5jb3djhRxZhL1HG3iyag/mEoVqlWUWjJvU+XB9jh5X7R5y6eYBzx6OGcQerUgw1uCnMwFVCeBSCoSUFSaH0nJvSjIoSf9GoogSj7Hn066HfP8bx7zi2i6nVrt85RGfwycC7ny8wenlGsnQw0hN5CuElG6lEOnfI8t4Fv7QRpWIZcliYH2gSToMyma7a2R9tUlxhAlECULHQMzLrxvx4F6fZz57bPpHv2/wU74Xf7j8p74pgD/0wKewJv4eZfc3r7su5IOfbrHvcMCrbh5x1YUx22diLt4TUrOSOHQAT6wkSVTK3AW4sVWA2/JpyN7WJLixlYDSSZF0Am2QECWWwycEzxxWfPHhBs8e8Xn+SJ3u2A2ewfNRbc916CtoaEO95AMHOqvTyMpmXV14kMoS31f4vkxvAFtoby9Jh+47nV/zI6wJObciGdsArSW+tOiSzTZB4EXywlb7HcPYQ6DZNBsi1Yh+5DHQwjkdUVEwppWpZCBlVrgBkA07Sq9BzuSlHkovUfn4icHYZ+tMyK4tETddNGYYDvl7Rzo8e9Tniw/VeOZIjcPHa0SxgkBhpcIISSUblEE8K9DKP2lWj2jJaz/z4KtkJ2WgJq2vtWkDeWTQJFy8J2THbMQVF4a86uYx118U8dufarL/9H6+dO8f4+nzC5ENf/Jrv38nn31oRX31oQfEqcNTDBI4sah47pDlzoebTHkJu3ZGXHNFyJtuHvOaG0OsEfiepd7CFYDj2nniyJ3kQprI9cXGGcBtxtwGrd0cEyENUWgZjNzPjp6U/PFdAYNI8eTzNQ6eCFjq+4wTH7QPykO1Fb4U1BU0lKWmcOPMVFp4pBxr+55wSY8yuD2Jn8qSwIfAJ3VNXMrc0wbfi9OMaES9FrKwmvDFB1p0egEzUwKdevGyhIP1KyRpdZ3Is5rjsWJ+TvGm20bc+eiQ450mQ086maLBiy1elHnWqccuE2cXUp51IvO/Yawu/Q0HdD9RJFoRe4oo0USRl1qpEU0/4hXXxNx65Zh3vmrECyckT+31GIaKj3yxwZGzHgjJYKhJQpWmOyVWFwC3ldagDNO2qKjKzXCLiC3CmLTyNKHeSPB8g7AJr71xzBtvHnP15SG7dyRM+Zb5tgUj+Gff12echPjeI6I1/Rr1vSc/Gc/ufOc3z+Bz07MfOHCqdt3xpTkQCQRuJ4TFgWXRJBxZSXjgWcOffylmfibGGsONl4W85/UjknR34E3ThhuuGdGsueV4Q5WUM7jzm6SEzkDw1BOa5a6r2nt4r8dnvlZjFClGkeLMWR8jNJH1MMIDrRGBRkuJrwR1aakpS6AgUJZAWVcDrlPPVxfM7Wd9mTm4VdqjKXL29j2D72cFWknO3r4foVTIV59QfPLBFsrXzm6r6O/zM3jmhTsdLokSxWjk8fbbh3z6/i4f+coU/bhGM9XhXqbDoywpY/NuISGyOyk7z7Kk9UsAN2kXvHZM7mlFrDU6ThzQVYJSbpD+TC3m9stjbrs8woox737NgFHkxrn95dcCHtnrUw8ES13FU8/5dPsSMemJbnjBXRlts2a54fqQ+enENb4khve8fsT1l8ZY4/AzN2NRTvmTJJLR0CmDzW2BMYpRbK7TevYDwPu+KQZfWe0yM91qv/8Dn7rcWKMIamlRT7psKLeUGGMYW8PZjuHsmltiXjhu+MxXE8BgE8vUjOGW60JaNYPJXPzzPkQ68VWw1lc8+oxPt6OQWjI2krHVjpmEdtNipEZIjZQSTwpqynm5gTT4sgRmWczocyAXRcODdo0AWeNxGdyO4dOyWi9j8KR0xAQ6wtqQU0s+4bhGMCXx07S3SqvyKlnMrISYIr1egNy5UmHkMdNSXDAf4osRwzhgGAvq2g3BzGpIsoSWkuXyVpn/rWy1dMkfU2RPjUl7JwtpFMdJmhRTaYlDTBQnqMiNmdAqQaqYnfMmXTEMV+4aEdohUhs6HcGjz3isDZxsqpQgngfkxkCzZrj1uoipaYuNnYytK1Aie98+SSSIciNDUEwty0ZVWFWrDy/ftOd72+Go2/Vr1QGe6wAukpMMuvqXl5affc1ytwvSS3v1FNn4YWstyFQzmWwikiG2hk6mqZSlu2Y489Vyccn5AF4tPrZCYrItF0ifhSqCHClRws3cC6RLOfvSpluQ2HT+ScF4Gbg97Trq3dZ75OB2bV1uS5TAF/iavMTUMXjK4trtCeTpGM+LCIKIE0uGP7yzCdrHk6IIMHN5ItYxeDnDlw0JdWBz2eEw8njvm4Z86p4hz59r0U88GrHblNZVAdqiEyfdkyf/W/lqKAolkNq3BYsLkhTocSLRWuElCZFyGVNX0OXsyNyCVUnuXsk0HtLCImzCfMPybS83IEweO5E/b6TPRP5sE48kctPIrE13m7BZDCdLRFA2L0Q6/A9MvMLzB557zZbk2C9bG/2Db8jgX3vo42gl/ReOHiGJNQ0NOn0/BpH7lQmp5y2zmoNUVOZBgwVlSbxyMPH12FuUnmXazOAitSxa1wI8kbKycFJAS0rPWVNtqZBIU5qD4kDu66KrvgC4zGVL4Nu8pc33TWlwToyXsrevI6QMOXZWsNitIbQmkFTkiSx9rPRTlnzg6liGIhBUhLHHXHvM7q1D9p0dM0w0owSCROAlFi9OdXhM7iwVmUVVJYv0hnKTdm3RAZ9LI4NODImSKJ1tX54xeTYkqAxsgxLZZCyTJ93KOQpEGgWI81/ziukwYUaYCaYuA9vFc+7fkNLieRHheD9fuufPfCnW53vWAfzffXCEEIJDx5o0dULdc2+2fGEyzzKxgsQK4tzTlHnaFVtEzhuVvGYXoOx9Z4FSVuDjJlKBFjY9UtCmEiD7On9OGwx0XgpK3mDrK+HAXgG3dM9+BvQs+CTfntBPmyQyieJpp099PyIm4rP31zm3WMebUviZNCm372UW4cQpKNeFm4mkz2jsJti+9WV97n96RDeuMdCaemwI03S6kkVBVJFlNBSdQ1mgKar1HSadqWIhUSId1yGIlUAnMt3FzpU9ZECvJtRsPvZNCpMWfNkS2B1SCiesenMXAE9vwIq7VgZxMWeyIIMicYgVCGnxlOTqCwyX7DhY6hY4D8A/9NG7mGrVXv77f/61l6wEK+CbCU2XpZht1aRPX0+yWoj0DZt0mTTFdS1zdso4BQDWJRIgz6LJNJOm84q3dDdimT2LfBRCGdj5HBSF60fcCOBZwJnpbp3JEpvq7Wotue9F+F7I2Y7h8YN10D46lSe6VKBUyfaVg0zKtfGlsQtZ1jFRRJHHjZeMmZse0lltMIgVDQVe7D6LStyMGRWVAZ7mDPI/JCcKmkTaI5km5ZQhMQLPCBIlSZQhUYI4BXksi+I1mTpDWbWmTAEupK1kmSuTsnIpPpnJo1SuUTzn9mYZzGaS1SlKPICR9WEoqDc3vWRq6xtefvbo37lv6563bQxwYULGI/ttM/X4hrYeI5WX78qQNwlTdOOYrLk0y1BlPXjZhStbn9mzzQroi+rA3EmtAMOmgRqlEs5Ce0qRtaQVxUFKgc466KWTJSrvXimAnTXfOvZONbcm19uZJegYuwC3l+pvrSMEEXd8LeD+Z1vIQONL4eZv5xWExecpMn2T2czyaLTME3fJs+HI47arh7ztFT1+944WYRLQTyS1xG3bp2VRrZjLFClTFi//qfMxORgt800JEmUci2fgVgItZTogqGDuHOSVkom0+SIHOiWAV1m8QnQb1CSVmTwDuKlIl9KkrfS8hVFCI/Fv8KbCbzPG3rchg586dYp2u/mmz3z2y98XD5eZbbktqGNTzDNJ8mW1ALwtAT4rmilnq9ZXCJbSPOknLjNdGejlumRZfi0fxZYBnZTBycdDaFli8bQbxlNVcLtxChPMnfZs+ml7m6ezhoO4dESERPzZV9okNkDl2ctygFn0NWarYEWDp4SQD9Mx0o1CS7JgUyPweM9rB/zRZ8esmYhhUmOYCLyYnMWltMhYpIVnJrULJ7WopLAmRQnkgkS7kQ6xEnjKkGjrZEsiSaRFKuPS9dK44D4DdJ5VLio7C5CTllewoWxYh4YsR4IAk40ayeqZyJOGORFY8vmIcSIZjwULaz1iHX7f1Te85u6Fc2fu3LxlWxXgcRwzHoeXhOPhxXHYp1HTbnetpDwXsBQYZSyACzBzTUlZX31d3yRl8GrHiCuuJ00Fr69LLjpPin3rM7Bne9KoVJYoNTHsJgW2VqJwUnI70HXcu8ZkmzJ3EWDqEnsHXsjjByUHTtewykNJiS8NunxTpjZh7hBOFmmkRz4fxoiSX+1AHsUeF2+PuOqiPg++UCdSPsNYUJNuQKmORVoElXbhxKkOR5IKxNKfFCUWFyVp5J51GgcoY1Opkt6wiXCsrWSFvR1zy6IuP9PipTIL95mLlfp8CK9WFk40zuSgFnnvbjHx1o1mHkeK5dURU73hxVEUXhJF8Z3rGPzE6WXq9RoLy32ixC33XirkszFcqjQF1FgwUqyXJPn3trocbQTwkl1aTopkU2gzXSlLTF1IFlF0zwvyTpeMybN9L8vbf2cALw//cd325MDOs5U5cyfpduFpcKkjLBF//pUGy8t1RKDxpXN31KT+ngwwKz54MS6jXMede9NGEUWa+VnJd72ux+MH24yTGgPlU0+cFq+Us8alUlZM6omnjlbK4pNSoBiPV0yh0iZjx2xFcs3bymTNJbIiV4rrZCvXrAzw4vNPRGETBDgJ7IzJsxa/rALTWJkP+MyK1QLPEug+SbiIjUf5v5kD/Dc//CmEkPR7HUC5kcPKLbFKQCIt1WE9aUNpCdzlKsFKwft5AF6A3G4A7jQLXAKLqgz1KWYOqnQHiezZgTwd16arAPd1OgDIy7YOTJNC2uLlqXiTfp1UDq1c587zx+Bjd7UYSx8lVZq9rM5kmcxgThJYudKuqsNTdkoUcaIJEs13vXHE739+wNOH60TKYyAlfmJS90ggkzIR2LS9rJx3MOnfqu5bVGbyAtxu6Kk2WbxjkEk2YqLonsr7NmVJi5fBnbO2Pe85yM+DLYRr+YYvv88c6IlIa3gKq9NYCHzJqLOXI88dJzEF6jTA0WOn2L1re+Pn/uNvXLh33zI2BYSRFpmC2Q3OTFlHZhNgs2W2pLtT0G/UnVMBuCieK/pbbgRyUZEnWZ11Pu6gNP6gPLVJ6wzoqfZWE+DO0vde1phs3MyQvEUsTXzoOD0ilBdy4JSmF/qgdCpP7ER57MTnmnRRSnrYlgKnPJVuyokfTdMTXL5jxNMHQhITMDQ+tcTVbOtUgyvhNmsV2Vz2HNhZQ0TG5IW3nM2j0ZlpkM4YVOmwTBfPOMZOjKUo7srqbIqWwZy9KRpTRBncJbmyDuTlaQyVFrbULkwLxmweCxZTbLOGdxAMRpa22HLh7W98X6Oz+r7B1Mw2B/AzZ87S6XTeuOeC+Z/ev+856oEroDcGkhTUKpv6KtwflgIMG827KC3D52Hu/Lmoz8knm2b10xlQqsMhiwYCVy5aei4xtyzJkvIuxp4i9cIduB2Ai6FAGYN7eoK9s75OP2SlZ/i//qLF8rCGCDwnT2TJ3SkP+vkGGev8nKUXz5bdlDR1H8eadkPzE9/R48uPt1ke+4RSM5QSP++hLN9c6QZfmYshTF5GazEpuE2eOSycFfdvGWtRxgXnJk1Yaynypu4qsAuwl/tkM7DnwK64Kuc/D1R0eFm+OUDbDNxJmRDc11jJOIrZtnvzT58+8cJ9YTj6VM7gBw/ux/d9lhZP06yBUiqdPS2QJt0NVwpkOqTcpsC3Wf+lLeRKztwlkJc/VDWxU2Y7UVnW1wG8NC22AnBVHbKpSqDWUqJTSaJzgGea2+RBpadNCdyJ68RXVfb2VITvh/zpVzyeO1R3JQxSEsiSnSmqGjz7gOetJiyxeTGWuAB5bFzLWRx7XHPxgHe8osvvf76G0QFD6RNIUSR9JsA2yeSizOSVJvCS/aZAWbcqGCtQxgXsJo1zEimQ6TD/LJgWecLJ/a1inEUxb7yc1RSwDuXr+nJL8qmaDIPyBr+FDnevD0cJBw+dYjDSRJHbGEIDzM/WCPyA7mrAmbbnTmyU3pXGXSzH3u7EGQHS2nwscr6clN+szUoOMh5Ps5a2ytiTS3kB8DKLi5K+LQPcyRNZBreUBcDzRE8GcOvmZKdSxFMlgKv1zK2VY29Pu6lVqx3DX361xVIngJo3IU/OL1EQE5WU5XM0aduVO3FSiRLFmpm24ttfM+DT949Y7geESjNMZGpPiqKlLGfQiSRLyt7ZSyZn82IWpLKpDk93xDPp1jIqXykdu0vpBmTm7pYsrbrSIrFpVWF2HmyeYS0AnlGfLdmEFF+XRvlVb/6sOI18exS3wRWsdaE1kEyPNWHkJJk+eeIQrfb0nn3PP/FTg94CzbrHKMyCQEOcpG8ygSS9cEa4O1xWUs4l16Sivwv/tyJRSvKknJ4vQC7WyRKRnWhRliei6HBJWVuVga2Kveh1xtxlYG8gT7QuJ3VitHKZyyNHBS8cq2EIENK5J1oUpQNVB6Xa7ZLReLnkoWDyYosQW970Ke1zjRMNVnPF7pCLt41Y3lfHJr5j8ST1/EsuTg4qyoVeqeDOymhJUZTXe6TvRRYzSbLYxkhcPCYFSVmKmdLKmgeYxQ7W7mMX76M4DSm4bXFeKMkS2IjBM1lSBXiUCKLINWeHieTosdPs3nPJT73qla98cv/+A0e1ICGJx1uVTN4UjVaoBUGa3crSvO5OENa9lyTdoTgfiZu+CbmRezKhT8rg3pi9ixFnZbYuwF4dap8/q4LBde6Dl490S2tVBncBcq1KQ4JUwd4q/V7rCKUiPvtgiwNLdfALeVJ2T8QEe3+j0ujyLJDKpk+lYUp5GW2ouWg+5K23DXjk+QYYjzhxWtxL0iGfSVUq5VKlzJZp4FlsJlB2LES6KguszKzg7BC5/s6+zhNyZecInIuTlGdHlm3D0mqegqJcq1RMXijNSSlNIc6rIUubWkUJRLELks8uLjKOkjcNRuOtYZwc1Y1aTC2ImWpENOoxgzBwH0S5LUeUypYPC2nTghHWbVFiRElL2tIb3PhRsYsmdXd6YsosXkgTkYM8nwmyAYOrMrjT+YTFth2sA7aXzy1MSsGlSUEeO3miIuqNkAf3Kz711SbDkQ8NjZYCT1SlyWSAWY4zNgQ4VJfgCcuw7ItHsWaqpXnnq0d8/v4BD+/3sU2PYRLgC1dJqUSaHygFe0KUwV2AvDzJwAWfqaOjHLEl0unxDOAFc7vXZDo3RaQWsip97nWFZuJ813+CDPNzIvIapiJfICobJ5R35cv2/8FahmPoDlwH2GBk0WudkDDyWFiJWVgRxLbYYtstQ2kRe/ouBMJtMGXdySuWlQ0ylyUGnwwucwbP5MlEsFnWdTIHdfV7F2CmyR2ZLakZyLOyWYtOxwUXhymNVC5mFzq2dodSLsD0/ZAoTPj8Aw2eP94Az0NIlYIqCzCLrUDE5MUtf9bSeSmSGek5NOu98OzI7MIw1Fy5K+bNL+vz1NE649gnkR5Do/ATivdSkgrplVkHcjvxXlDZzWYwSqAyiSAFNttzybjrYrLVNRt4mlrI+ec2tuokCZtz9iTIK1gp3fRQrZ/Ja+ezpFRSnS2PdZbmplmPqSZ4yrUV6o9+7C6kVAwHfUbDgFrNnYQ80JPpBUg7NYywCCMQ+RJX1t3Fu5zIWeX/t9FdXW4KyE5MVsuRbUUyCfTyyF+VM3YG8GJyai5RdDYn3KROikkBbUrATtk7DS61igj8kGePCe68v8Fg6EPTQ4qscrBcE7NBFrO0RJdv87zuIguwyqUOlQKsTIurvNun1Qp58+1jPn3PiKcOB6B9RkbiZ1rcuCW7sO1c/EQqV0jKYC+Aba1b+XLpIh2bZ6tKnlwrAT3LKAsJ0tjiBkeUvi4FmJPW6ddl8arTlKmFfJ8nS75XkCnhbW4q4NyJZ3ikc8R1KknTAyOo6Zig5QKQsSnYJ2dUQfrpnD4TE8mdLA28oTQp3a0O3GLCJhR51rJgdBdMFluSiBJrFPUnzkUphkfq9PuMuVU+HzwbGZyB3OQDOovDZSu1ckkdz4uIbcId99W599k61DRI19DsZ2nyMqiZOMrfbCRR1uUQRL4beeGoyArQxyOPV10z4K0vH/DcsRpx7GGFYig0XlK8H2FAJoVVWH0bVSYvy8xckqZsrpSTLo6lq0CXJmVzU3ZRSpahKa5nZRUr78kpKrdbpTZl8hxVdgWZzLsYSxwbxqHh2Mk1/IUh1hr0RTsShBAkScxoGLM20MRxybapBE4lRk+XV2zpzZwP3BN3azmYzO54UZIk2SZSuQ6X1SAzL7RSlIBuS0w+IUlycJd0dymwzJwT55i4Z6UifC/iyaOSj32lBfggPYRQeCJrsrCFH1xh7uyiZtaYKHG3qF5ISsydb9MnnVRIBEalox/yfeI11mre89ohX3xgxKOH3CSByCgGiUgLvtLzg01HStgcWFXOLKBVBnoGLJVlplU6B9GSx165k2Kpfn5TrqRMGbxUPJddfzbARfZ3K88VNi85LelzRiLGuD1GV7sxqz2NH7jad33tZacRQmLiiLVuwrOHZjm7FBDHNm0ULt6UxLo/IrKgcmLvnA2YqvxS9rmKQTXFEl7eNiNn7oo0qUbs5ZLZTJJk25a47TkKcGe7+2as7anqs870t8r0d4znxURJzN0P13nmYB08D6QuNTZUL6xjr+omTlXWrPKnLX2RN0BUKjVLwWbielRdKa1mHHpcffGIV93iWHyYOBYfC5+RAZ1kfrhzM5w0tK4ThfUgdyCeALcEq2yuxaU06dfZ9Rc5ixfMnX7uEugFAmGK81SuTTlfZnM92CdmyeeYLFbvIBD0VyzPn44RckQQJA7gf/QV1+o/DgXjviEZRpjY1UpXbrRS6CuyJM66ZM5GAC/YbJ3uTv/JjJlJwV21BkvZzNKOZdkuB5kkKbp5CnCrSkBZkiK6GK+sVYLSJYCnEsXXEQfOCP7g8y3GkQcNL5Un5K1pqpI5LDknZZvgfBLFVoFelimZ3jy/Ftc0A8kPvHnAHfc22X/K3XyJUQwS5aoMkzTbmIJbJIJsRwgxAfIKSSnH3Pl7SgNMZS3WlKSiTY/M97YilSTrnZTMGTMb4ODrPcrSpQzs7FxlxOIpmGoKpqctl17cpRYoPO1jrEW/9vYf3XLvIwf+1SfufBBPJuyZF2ydS0DKtAahGiBkTG1tcfvZDXlqUp6Iktwp7442sbNXxtplYE/UgEtpS/LEFg6KchV2hYtiUhY3Ew5Kxtrp13JCf6uY0MZ84itNnjxQd+0+QqOExBfZ1NVqc3GZzcuy7us+bHX5rWylaCXWGAdsO5n80YQjjxsvHfIdr+3z3z/qMzQeGE0sJCPjLExpMnCXHSpb/PFMOKV3mcp0eZbbSH9LpqtLLklsBugC8Mbakrx0gWhZmqyrrpxw077Ro2xmlMGVMXg9sGzfBDs3+9RrlubcK/5V0L76x/VTzx+f7nU7b9naGDHb9mjW04tkM/5176D8xtyHLk5T+XxN2j/5f19i65zgSgFl+c4vd/CsA/m6XdQy/V1KmVf0tymAnWYuM7bOrMBMlujUOfF0yAunJX/y5QZIDdKxd965X44Dyu+xdOE2rCbMTt6E/raQF1tVdjdIG4IzcBubpu9VqsUTzXe/bsAn726w96QP6Vi1sfHQwpXR5uc2SS3DpMKLOZ+nXI4tuToqlS/KZs9gRUlKiSzYTJN/6XmwKVFlyUFTOhc5AVBgpYLv7AeTosCuyxtW8GeMYK3nkSRTNIIRu2r9t6COTGvsGF9FzE8JptvZls/ZkPWS47EOtFWWnpxbJUq3Z/lCTzL5ZICWZ8hK6W+RFxSV68BL4J4AdnkDKlVibS8dPexeLySKA3YB8kTFfOa+JnsPFNpbCum875y9q+10kxnMAuSicp4qpEBJf1PKbJY98aydzQhMIklkxuJOqlx5yZi3v7zPoT8JCBMJQrsMJwJFyRfHxVBRfvGK1jKyIqeUKl1fjs2JrAg405s6C/BkGoSKwlkz2TmxE1Zpek7MBkxewZRl3fnaCNDZrwrjSkjCSNAbSMLIo6cNU5vAiAS9Y5NHIDxWNwd4ns7/qJSiwr6VZWTiDiunYMuvrduFeDKwnACHLAG6YG1bCS6r2wQWe2FWAC5LyR1ZaO8s9Z5vcVKaK66Um1TreRGHzyh+4xNtRtJLGbwaXFbnnlQ3xKpesfM/qm6AKKzWyniEavLHyRUH7sRo4sQjSGL+wbv6/MXdDQ6d1qAirNGE0mNoBCrJbjib7phWhYjT3VV3R5X8eeUiyrQYKwWztblUycDtJIrrALNWVIAsZWEPV2uQqOCjiqUNTmH5Z+kNFCdutYsTGEWuzDtJPGrTATNRgN42LwmkYnWrmx8dxq48Nku9l//ldSDfgLFzhs4+BFWgT+qxCoOv64qxhQSYBLekAuyMybUquSZyvdet1IRrUvG+Q7qh4Xc/3ebUQgBKp9agzAcMTRZVVaTJBJNXLujXYaTcA8+nFZRdlCyZkUqUcjOEVCSxZsemMT/2jh6/+Ac+nchNPbJGMkY52zAROcjLwSaiYKqMsbNxDNZaFMUNqLIbUFJZbZQowG1T5rbZjZ/GU9am+j8rpS2dmyp2yiv/Buet5J6U9XgC2BjixDV9dHsxzZmYcRKjt20a0dBjOosxKz1Nb+D2honXgbxA9iRhV4PJ8zO33AAE5aKdYjPXFNyloLKQJ7bC2jKdYFUGeBncKv1e6XJAme6SkLK2SisGvSDiI3cE/M6ftxkbz8kToXJ5kjUVl2tPJjOwxZL8ddigxOI5m5dYvdJwa6XrnTRmfQrfuK3Aazrmfe/u88Ixnw9/xgMZAookDTiVsMikCDJF2RufXI6LOmf3nqQDevZ+JKkmlxaRPmegtpZchwtRBnsKeFuaNCDsBINXMbMhwNPXKsVZ6fdJYglDQ38Yc2ZpzNSmmFAY9Pb5PlN+j/7KgOhkwGAskLGTKNZU/3Emv60sLZPyZEKW8E2wd6nsMk9/b8jeRXdJGdgyHVSTg1vawi2RSa67VTnIVDFKulmDK6vwF19usDrOwO0A7klS96Salp+8MQUUM14mbvzJC7IuoVFyUByLV3esM+VgM9XiyiiMcZp7yk941+sHfPK+Bss9BTICo4jQjIWo1qmUrtM68ZuzuSjZha7mnCwPkoJaZmwuBFa4lScHtSyDOztXmSc/oc+BPLtZjtMmifQ8bnRWrp0YS39kOLYAtc2SoZboc2sh/d6Ipd6A3nCaMHT1BwLSovX1/6oo/fUK0CcZO3ttMgBbx36F1s6dlNL8k3z/+WxHNWXPq72zDWDd10m6I0JhDarSUQSWEV4j5o6v1nj4mTqmpL2VlKXCKjshT0pLbhkwpaOCoQ3OZK6DSwmffKOm81UZWokq+eJx4qFNzK3XhLztpQP+8LM+qBCExArByGhX3pDegFB0/Kx7LxSiJXvTtqQHynXjuesirJMnGYuLKtBziznDgbUblGuUDQi3pJXvvXzNOU+II4TA9yXNhmR6JmJubsj87AD90a+2OHduzN5nAy7dGtNuun5GJUV+N036lJOSZCOAV974eSRJ3r8nS4Ap24ElVlc5i1eBLcsdNRPgdl8X2jvfYjCTJ9IdgRdx6LjkD+5ocbbnu/2upRv0rgSua0a47GCl9mTdISqA3/BKlJmHQkuulyjl8Q6pTLEm/z4xKcgTiZJu+5MtzYQffFuf+54JOHROgogAhUEyEhJFOdOaVfitB3mFyW02Ejl1UWRhG2ZqJpMnVhb/dlZT7oJBB+gc8BVslKVLCuxM4pYwZfMMY+ldllYArQSeL9ixSfG6W0ZcenmXVjtALy7VWViqs7zs059ye9Co1KzMTsbktVqf4dwA1BsBfBLY6QcuMoJV9s6AXTS8lr5fx+IbgFuV9XYJ3DJByxil3BDNcWL4rT9tc+/jddfbJrXT3lKmXTulxt5SD+K6AHOCySfPXRnr6zOYFEGezWbPlMpnbUl/W1MCuSJJDLHUqFjzqptCfvw9XX7ut3zGsXRpPiOJhcdQFNlG545lxRznAXkl4VEqyxA29cidRreiCEzzwFLYPNuYrRY2xWilGWNSygqRMny6hliRZ8tF8VbyL1ys5v6m50GrIdgyXWf7TECj7aF3ThtqsWG0CZo1mW80qiY6VL4eg5d19kYAr5ZOTsqUkp9csgSFKDS3zHxnNeGe5K+dH9y5HZhbhKXgUsZ4fsxXHvX45L0NxqEHde20t1Q5e+fb6E1kLivFVRTAKQN6oxUwA0853eK6WCbKZk0qBbLXEuG0dyIxMgN7FnS6Dvx6I+Zdrxpy171DvvioAhW5k28kkdCMKRwVNy6/WnS1IZOnQM5GCTlGLwE71d9KpmXUaWFc9juT7Ww2/VqWLNaMuSszVbKbsORiitSzd6TqvkjSqsU4gd5Qcvxsg9Zcm6mwhd46K/GsYm3eZ6ql8b10nogogHu+MsHK3bcRi2cg3gDY+V2c15aUtufOWZt0iw5ySaLym8CU7MFsCup6cCuVIFP2zsCtU3D7XsRa33LHfXX2n6k5aSJcSazIEzsUE6TKNdaVFWk9K30d4V3FuSVf48tZxHLFZj58kmqteMbiUihkYpBSE401l2+NeNsr+jy816cTSgdwUj2OQqR6vAJuux7kWTNGLlEmdLmbDe8YVkrApFIk+1mWDCqBe5LRs1oWkfrr+blN6T7HV+7sTIAxPe/5dvJGMBx5TG+uMYzr6M1zGk9quisevqfyksZs2cw/zAaJnUnTfh1rC7sBCCgGxZQdiZSZRQnsMt1oqay9JzV4NvnUsXhZthRzrSup+Yy5dYwh4X98ts7vfKKNFdr53qlz4tjbyZNKyUDp/YtSEJUtrzJj7XXL3Xr2rpSEwoT+tiVnhbwh2eZWYbqNeqIw0uRyJUo8pDK8750DDp72+J1PaqI4rTEwEoNgLCTZ1rG5Fk8bWaqWoSgkSv6TQpdnssSW+jilcEUs1qSa29r8Bsh0eJnR7QRGSKVPxuRZpDA5xLMau7ifjUMYCIExMXOLhtBY9I5NES0vJuzE6T6KRTt+NpMwbb6evHG+aWCXXy8SOkWbV3kyUq5zMzALnAwRJXCr0v70skjHS1nW3YX21uVsZRpYen7EwbOST97dpN/3oK5S9tYFe1fGQVTHy8nyZy99/vIL3yjJUyaP9UcpiynLNSrpIJysms8It726dFpcCjfTsNVMeOerB3z+a3UOnkntKBybx0YwQrjA2aTgyd+rKMCU2WApb6oc9xnURSnALJVSpzdOxtCUXnPWYkoEdhLohWwpAz37W5UYJk+IpdNxjSVOXJKyN4iY2RwyTkL0/AwEKqG3EjIaS0ZheowlYVwU1eS3Ta6FzueSWDZcvkuDKUUJ3LnWLo8Dy3X3BNhzFjeF7y0LcJdliUvBm3QDpeI1KROUjhhHhrseavLlJ+oQqDSw1M45kQV7Z/5x5qKU+y4rVZATwP3G4mRDYq8cVJyUUuo+m5ttRKHFjSQRCmncEY0Vr78h5PW3DjnxOY+xkSBUvsVjLDTDvHOrfIGz723pPQl0JfAsQGalY25M6rqIFMDpje4sRJH2aabJopTli7EaaRkBziJ1fb8F0LM/bFPMlTuQEuOyl+PIMB5bxpFltWfoh5opE6Bn5neuGTP8/OyU+DvGjBgMPZY6HlEsXC9f4dNUg8p1rF1laMEkO08GlcVkpOq2H7YILJUtBZ4mDSgLkGflsXKdFZhUv04dE5W2oik/5t5HfX7p96ZIrAbtpRWDGiEniqpyazC7QW1lYH/l80/c9JTO1fnYu8ziGYAckO1E4ieVKTIFtkg3asqkipEY4bxxaTRx7PYX+pkf6rL/pOaeRyTGL1jcGkGEYkQKOEtFomQFV+VbVqU1tBmbOzCn+l2m5bWiBPz03Nissyi93uCSiGVNzkQgmsk9SzaKrgB3fp7Sd5skluHIsty19EegdECrPfX5iy/etaZ+8vv8vjKnDjVrox+PkjUMCVHs0R14jCORa8D8Y24YZFU3PZV5r2Q1xV6tIyF3RaQqWLrYraEqSQpbMHNLsmIpm/vdWWJnXWFV1oqmIrSKOLkq+KU/mOK+J5puUx7p5wDX0s3fDkqlseXm4vVH2r6lcFO1ZGmcRf4s8xFz67qTSs9ua+5yBndiA4A0XiyTQ/Ua2Py/d/6yZX4uJtCWh5/2WRuWrLGUN02qM7ObVpbWnvWVkOvvVnGe74rwVUz8WKz7fTHJBLbUJDPx364zNHBSerVvWBvHLIUJ/ajOvsPLP/jF+57brx87OiDwBKcWIr5wv6WmYq67MCKK6sVUq3IwWWKv9XJjgqVLQWX2u0pSmWdXPJeGO4qqLMk0eLY/jMoAXf46y1qWKwQndLdSMUmQ8AefnuJTX21ia4XuLrN3Po4tW3k26Jgvy5NyermcwTz/ha3+sDxTJvPGy1WG5abbfBCOrG7tUalRERKZKBKhkcOEd71myPOHPX75Q5qwEhW7fs+xERQ7bJYhmr3vQpNbI1y1IUVclunu3DoUhXyX0jr5kpZ+yLJ7IgvNK0x2szo2z0dUUExVpAxukfK6drM0d9cTvv2qZYQccf+zc6z26k6y/tqfbkYpQbcfceZsyOaWQMQem2cMga9c3qNUm11hcWk3uOhl1pkc0FhN4lTAnIO6Ooc6twZL+8NUwJ0DvAC6LAE9q/XWqff9xUcDfu9zTUZJOgVfFokdlUqTXHvLSe97ffA8GYOUQbIe11WQF2nxjOnsOtlSBnSuxWUpASRTcAvrLMNEYoQiEQZhDNJoAs/wQ9/W54GnfL74hLMLM6kCkKAZ5XxYCrQ2ALkVxffrAJ5mOl1Lj8tsZgaFLMsW6T6gxI0hsenq5aS8kyQSF0BmQWmZ5LNiNiXdDMqgKdgy73PtBVPMtjQ37HHb7wgBej7wEULQagrmdxoagUQKSRQ7cGVpU6mKZSfXmlTBXR3GaDcEdPn1IqFTWIAyq/moZDBNSYObklTZ4Ci5JlLFSJkgZYzSEYMx/MIHpzh8KsBm4BYO3EKIdA9OcvemvAnW+s759cB2qTZZYGIdwm31+7wGpWDuSlaz5IUXU2DXb1xlhC2AngWdUrldjY1GhoaLtkf8nz/S4YF/EdAbpW88DTids6IYQx7snQ/kqqwZMnbOAJ4BOgW/LK9q0rF0nqLMfXMHbpP+zM2Htzlzu3IAW7r1UjymUlArt8+SNZojJ2c47beoBQFSacCiX3rtVrRSrHW6nDp9DildV09eKZZ9zFItbmauV5I5E8wtKhryfM+mBPYqkytVli3l7ezK9mCx666URa2JzBI6aYCpdUScwK9/vMUT+2rO8xbKHdLtoKyEqxh0iZ2JoHJCnmyUms+KhcqZTdYt+6UTOvFa2Qs3WRrcZht7FUmXct9mFewSm/rhQkiEcURlMqliDDdeEfET39nhV/90mjDJUCfS6iiIrWJk0s+xQTmtswHLvrgrxc1clDKbV4LNFPhSFicg88nzBFFa2CfTuTtZeJlPG8j4o6S9s5ObGOgPBWGksFbQbM0R1NsYE6Pf8fa30mg02Lv3eb7whc8jpFd0Z5Ru4rIVNlk4tVG6PXNPlKzKlALIReBZAbawuVsi0w2PyuCWE+DWqgzu6iEziVJL+NJDNT788RadoQe+wqXjPRAaIUSqvQv2LsuyjTp3qvPMU4egrL2FmBAk1dW+MqS0jP08q0nufcu0o93K0tZ6slQrLouOHyEsVkpsahsKYZ1FFye0a4YfffeAx54LuOtBBY049YCzoFMQSZnuxC3S58wnznS4KPaHTD+nTX30jMVTry9n6UpQksv/9PX0dyXpgpK6Mvk9Y0mnONhcxk2ugsa6JM9oLBgME157ww1ceeVVDAYDdKOhqdc9ZtqSzbOC3kgyDs3G2bj8ItqKLi2PcVjH1Bvp7TKgNwoqcyAXCZ3sNV0Cd5GtdLJEZj53lp5XMVLH7Duq+Y2PtTi45KUbD5UYXEi3RXhJlhQp+aJ+uhJrlG7ySh1O5Ryx7qJOknh5dbQluTI5tiyzDQsGT7W4SEGfypTsJkhS9payqFNJhEZGlotnY/7Bd/U4elZz4JTA6gyJ7o1b4xHmK0/6puXGILe482VTuWJLLJ7JlRzked2K0+bSpJScp87TTGr2+zKdw2MLFqfE5uVzadKdR8LQcm4lYji2SKGwVqKnWhH1esx0e0jg91juzDhxn73xiWW43O1elij5Ul4Bd/G1mmDqihVW0d5VKTL5XAZ32fOWeaBZeN9+EHG2I/iFD07xya80nO5W1cBSpsztp6tLPhWqpL3PG1TKKrDLmN5Ihpzv9bI8qRRhbZDZlBvtfCDd69luyUJYEiERiUrrNKxj88TgScO7XjOkMxL89K8qzq1JCKIUKe7DWqMJq6HyepBnFVIZkCmBM/tPykGosIUmz/5ZCdYUQWk+CbckW7K9g8jKakvnpLSIICUEviVOBnQGEZ0hdIcWOTUd4dXE2dXx6M5nT/gcPT0ijAxJyhiTFy/fYEiUUutZAJnJkNyzLnndJSAX5a5ZwFiUvJatwK8L7spRTejIVHeHGD5zf50vPVIv1ZpkBVXOFsy6dfLtCL8BsB17iw0Zu8zm5ZNfgFtsoEmqXxcBpygymRnY811/i5HLtjQc3s1SKdmGeYOycnvUG00Sa4SVvPGWEW9/2QBfxBDHYGMw6WFjjLWExs2pDA1ERhBbiI1wmwPbbFZ39jXFcPrs+9LreVrdpiMxbDEZNkn3YM3jDsNEvFH8rJLrtSVwe7BrS8TbXhswMxPeebZTP9sZCdS/+/nfpDb/srWTZ2trnS5/d3X5HM26ruwvmc/8Kx956WoW0aZLvKqys9qIqSfBXnFLsiSPqdacTMqSnL2LZy2LNrREJvzlvXX+/e9MceRMkA7vSTt1VDoKopTUycpitXRD7cufr7yDcZHIWb+toRKSyoB+UU34ZMmcLGGj8sTN+u/zpM7ECllO7lQyqHmJxGSX/+TULed8zLYTrrwk4sSC4sBxjbGTy5GTQCa15GR6g5bT56L0uxvZoZMSNzNQKkmVyn82IYtF8TddzFMc7rxIpHQbjNV8qAchV11+MVdeNPNPZ/T+h26++bVuj55t0wbfT+hPQ6cui3+oVHORgbTonaQK3I3APSlXKgmd9Hdzt8SUfq+wAl2QeR5wT0iVzBL0/JiTS5IPf6LJ/kMBNAvWzqSJEAJNmpKXJVlSDpo3ck1Kmjz7Xooiqt/gOp/3UXGoctY2G2tyyhtHlYJQ426kwlGRbv+k9GdCyjTt75wVF3ga4rHhiotifuidPR55xufoYilwcB0LLoAzijGZdEnfcCkCtCIrwhKppk5/lun0SaWTB6Gl4LMSUYrS904aOWli8xmHQqQbYpXOg7XQHSiOndGM0MTZHj0AL73pKhoNl/k5fvxoGjRWd02opqezJd1WtLfYENyZxJjQ4PnvlJM46xM6ZedkPbiTqjyRbvzDSk/w3/+ozd1P1NMGhlJgKXVhC6YFVdWiKiqdOoV/XwV1TlzlADw1eCeu6dcHebk6FSodPeXMZrZkyyzRkwaeomQTSmnzOhUhXOApjcVgSVwPjtPkwhALCwPLa24c8w/f2+U/fGia1SyVb0UJYILEKEaTH6iUzMldlVSP5QmgtG+zkvShCEIp6e/ixrClv58536X9htJhnyaxaZmwSnd7sEipaU3vYvO2qwnHw/xeZPu2rVx8yWV3nTy1+EuBHyBlaZcynW0Img7aUZOSo9xhU07OMAHc9bJElgGtJpj7mwC3VKlrkuvviLG0/NYnmnzw4y16kXZ3pyhpbyGRmS1YiiGKpM5Ex/w6HX6eIf4Fyr9pcJepvpKmr4C9OHJGT/eMNKVtHCt7uhuZM3o+LKh0JEY7bZ4omhp+/N093vcdXeo2hqTQ4YUmTzAGRgbGRhAaQWQgTrcVKZ6dRq9ob5PtTFzdJTvT5Zn+Tio/T/dkNVk5bPp7iasejNOv49gSJyafh1KrBUSj5V+67LJL75qd3wKkq8sv/6dfISGIRuPRpcIm365VQr2m3E7AXrFTwuQ0qTK45QbgLhdNlRM6ZfvPpdurOlyW2LsK7sIWrFQKpsGl8A3PHPT5j783zfEFPx27lupu4aVBppsxWBRUFdq7smNDFnSWAs7yrhL5vPJcqrkVL0shFz8XuVYsBvlXNfa65/LNJas32EZavNDepTYwWUySzYqvimpQW6w+FmpewuYZw31Pe5xbUkU6vhI5Ox41pRu46n6W7+z1cs2Ksm7f+Cav/Dz928W3ovIfZ+9dlP5es1FDSvNHTz/xtftf8aq3FBIF4D3v/naCoMajjzzAvuefpB64XRLKQ+Wrg3coZRwnu24mCqjK6XllSjLFVJlcFGWwSpQYvAJuU3JbMqDHaN/w9CGPn/ilGZ45EGC9zOcuFVRltd6i0N75MJ8SeCZrT8o6e6Oy2EoxWvWqf30q36D0s9Dl6cTWCRvRta6lGT9hc+vQaXEw6U1ljMwBbqR1uty4XfKEkQih3HY0GJLQcO0lER/4mVV+/D8KNw/dz2SCKMkITWIkoaRoEsitPreqkLW9p1lPVdbTJQmTSRYmNTml1woEF2emlCMweaxhGY8NV111Lbe/7GWMRiPgn1cBvm3zLEGtztb5GufahsC3G3be5CMcKrXathRgTkiQDWpNpFivufNAMwNv9juTzC0TlEjrS2SMFG46bM/Cb36yyZPPByQq1dqyBHAhi3oTUU3olL39dTUncN5Ak/zr9YyVRf3fSKzkY4FzoGfWYJYeJ5cn5QxnMQnWyQAhnG0orAsqhXGpOinSbGeaYhdCYlAuUMvKao1FJZYbrwz5397Z52d+1aMXC4cOMwE6qYlNVvydgTMFdgb8UgUhOfjJf56n+zOtLko3SvqiLWtyI/KzkdfHp0M3pbSEkSCOQ8LEo9GaATnMz28OcN9X+L53cH42OLRza+3i4WiMpRj7L0oAn5QjOXt/0wDfmMEL7Z25J+vBnWcrZdEVP0jgw59s8bEvNRlPAjv/XqbVgqW95Ssgn6g5odqiVnFMNgwwS4D/xrhex+SThfxF2azIgW0oNt8tNuK1+U1grHX75mQuWKrDRarFERZpJYm1qSvhXBWwkFh8EfFdrxuw95jmw59o0Y9wJ8yKPAnk3lwKclxM4rKYVZBbaVEl8FcqDzOHpVRtCFliyIHcpgVZzlYsCr6yDv6y1EmSBO3VQdYO+V5wcCSj/Gd5qe3s/A6OHbz/zlar9ZG5uRkCL6bmGXzP5DuUrZ/oWv56suOmlNBRJRlSKpwqGLwAshROnpwP3OUab60TeiF88NNN/uOHplhY9tNOi3JQ6cAtZQruvBy2AHSW3CkXUG04GqIE3HV7fGYX+//FI5colhJoJ9L3GaizREgWbJaynVnCp1IrXqoZt/l8FVV61sSxZuuc5V/9SJcffmefVjAZdEZgErAJWENsYGRhbAWhdcmgyEBs0mAzTejE+YZaRYIn33PeZsFmEWQmaUIoCzSLoNW6JJMpBm2OI0tvGDM7O0ez2frIZ++8987du3asZ3B3Xn2Q9c96Wryj1RA3hFFCnMjCBWKiOEpRaUQo7EBTsQgLdi//XqG5KwwusqROUspaFuCWsiiBlYHhU19u8P4Ptjm76rla1zxTWWjwTJr4E5p7nUQps/REcJdvSV1iaVECekYp6yR4iemzREcZrOsQTul31gF7kr2plNJm+1NaYx2LmywpkmpyYfNnV6pqEalcEanTHoWWbTMx/+pHOyx3JR+5owW1uKBDJ35zakyMZEwaRFZkBal3XiqxTb+nrMHTAZ6FtUhecpsHNiU2l6JopDMWosRi0FjkkzNTjc/2+sPKKZXlb666/vWMlj5x3/zU0qPTbbf7WLFcl0pgy0yuCpuv4mNX3BFDYQGuT7+rihVYyJSNwJ1JE11LOHhK84d3NDmz4LsJTqVETgHykjQRJaekor0nsoPSrg8ihVivwyuMvj62LBP6+cjdlti6AuzK74jCMsRJhuoW4FQZO5tKm5XUZiyfsWaZxUv7/xibzh0PFdvmE977bX0uvmAMYcrgtrAN82drSAyMbZrWt8IxuU1T+mX2TiZS+aWUvym/VrISKzaiqZ4fayGKLINQceTc+NH/+qE773vXO95YOb968oRv27YZIQWj8QmW1xISU7Tvl+2yMlDXJ27KGtxQ9rsnWbv4PgPz+cBdyqpBewAAL/BJREFUyBPtJxw65fFvfmOarzxWh1pW111O5jj2liXXpFLnLW1Fgkw2TudVhJSqB3NQl+2rErqFRQjJX/lRLjNcNwSoIE9hQRhRbKmeM7pjSCuK5ywAzYNPm02CssU/Zhx7Z3o8ERYxsrzupjE//w/W+Ne/Mc3hMwI8SoFkxtYpmxpJmK1QJQ/PplWGWdJH5aydlcAWFYlKpPUm6b9ZboUjJRhrS5Zp+nvar7Ft1y5sZRzyeQA+te2dCKlCceLjdHonSIx0+0yKLFNZTa0rVQ4uS4CfDCRFGfBVgDv9nqTWYBnsG4DbSzi6oPi3vznFx+5qEEpVJHPKIBfStSzl7H0eaSJtDuJKlSQlhi6VaVTqOqCiwQsvV/D/RI5PjlOuVBdS3o+0xNh5Q0AmW2wuSYTFpbdTOeK+dg5KNo/QGKc3nEzJ3BQQGIRQxFgCHfOeNw5JrOBf//o0xxb9YhJSJfvo3nuCrLolWfCZldJmgAeUKd0ImVxJA1Br3I2rSlwhZPb53D+fdfMIAdsu2MH7/t5bwjiK+eD7vwHApbcV7bf/xfLw8qtOr6y9pu6NmGq6f0yKUhe7KtdrT4J6wteW5ZujHFyWNPcG4C66deLc8z62oPiZ/2uaj3+xSShL5a+lKsEM4K5Lh7yBuCxNJpM4lUIlJq1CUdXSOXOXYL2Be/LNYHzD4kLLOg3upG22d062v326540tSxyXNXT1KRmrS4w0aU2HRGQa3Uq3G5ogBXcKifSNx7FFY/neNw3QCn7216Y5tpgBBdal2NEYJGOTZdtF3qiQjVjWqU2YdfNY42pKlCSva8kalyHbDKs4oTI9SVoJ6oHgkl0zvOzll331ust3/ouVtf6687tuPfWCKe743F3d0NT3R7GXxIk7wYX0KM0ELG0XkunpfA53aSDmujYzVZIiFXAnpcM4nztjbx1zZlXxrz4wxce/WGbucuuZSqPD9a5JNl+wbAeuG98s18uRyVR9dSeHkj4vgXpSi3+z4F6nv0seuV2nuycP8rLZcjlt5qDknUAm6wRyKfx8PHM5nW8KdyVJFDoRfNcbhvz7n+iwbTZan863sXNXTJwXi0WpJh9b56xEaZltZHCa3IpKiW2cuJ/HCYVTYsranTRVX6x2WglaLT/ZMl/f//gjX+nOzbTWnWN9vpMfjv/v9r48XK6yTvP9vrPWcutuuUtu9p0EErYAQRRkl1HUtkHbaXuxx63RHlzaVtt+bNsZF3pR23EbZ9yGR7tpkc40iiIuyDJBIoIQIAkJyQ0QzHL3e2s753zf/PHtp+omN2EJ2P09T6VOVZ2qnFv1nt95f+9vq17TN690VlKbPk1NJgt8NdyJyW5SrVybkDzftng3yXPvTO8rgjcG5IaapKBehiwA/vfNJdz4oxKanqWSUFsOVAEd6PYPARXg1r1ItDPJW6032oGatFVG2oGX2BtH4ygWkrmNapt/5xOvbOuubspaqmIAy4qbBCViAk+cSroiAihMJ8LqfEUdAbX/Ag8Zrr6sip17PVz39QpS9a04FlxdakRP8gREHh9xazXBwQjgEWHNlV+naArjonzN44KyMBjlhGSiXXKWifpThuihicnpa7o6y22/5rYe0SuvuBSVIsuWLV3CywWCQpQhDjNEQYbQV7Pdzdx3uyeJr4axOlY701FKm4Z4OWeSWtmBVCdQZSABcNuWAm64rYgGlda6xal0o5WhoieKjrSTBS15sN04QCc1ts1ryD1vQnM58LfBOkf71c6CcymVtbPequOs7YTqx3Zhst7PSshiVKoqpqk+1wlZnp7oJnRyD2HG8YZLa7j43BpIljkFEkIft606A+dcWHJ5E+qKseYpl4laUnFJmVBglNVO9I2gmRE0UyHoNBKOWpOjmQCLFi7lB0ca2RlnXdj2+5zVgp92xjlIk/oNaGxfjXS6FPpq7o2hHbbTqTsrEfsxa7XsynLbuSbKkhOT0y1oSQbqA9+7O8Zf/I8uPLonlH0EbafSvslG6NRteWxSe+HQlLYheBvUIDkgu62RbcdSeZ02V3di+rOAm6voNFFAtkL01oYIaFpNgpCnNcSy7FxTGsJkywUiQK6O2bHoSpnhHFmmTB8HYZ6bNQmOU5Yn+PS7J/B+Ctxyd9EQZMfhNJYc8JDKawMDEMgpzFymFoiWFyZxzSNc5tOI3ynjAGXid8uo6AGeZBzNFBgc6JnZuPGsG4rFeDYYY1ZNq3feEE9n7vvcmjULR+Z1TaFcaqAQJYjDFGGYIghShIFoQ6xnviurbE1UoF7eYmcw+rcVfiepdCZTnS1IA+Df7orxwc934tG9Ya5JppsCC0K0U+k077FuHkHbjL18iiyZ7WYZZDtXBbnXjzFX1gDdciw1sK0aTPW01oMtbu10vrKadToW29LGdROh/AQJbkc7vVzJm4es4WHt4hTXvWsSr3ppVZBmZc1tnVzz8gyQ6a9NO+VW8vRU6uZpBs3VlcVuZFRY7oygnhLUEoJqk2CqTvD0BMeCZatHfnjnts8tWjQ02wVxdgsOAANDq5Em40CVYmamDg7PkpXEmeoGM3IWnDBZp8kdlYRY25QYy226v2YgvgD3X36hEw8/HolWDy1BHNPXhEjLHVLZ24S2yoJ2AYMpbOAtILbbsml5EDmgu4bbbOfA7XQnyIPavufu823lQj0Xp1UjZ1JC00UFFLogAtI6E9kiQlhvCtWSAdxSUQgH4dS0flBnjtA3xGE2OU5Z1sQn3jkJDuD7dxUtk8ktTq7/GqhZQcqSZ0zk5GfSGGWEwGNi5iW1/CF1pbT9oyQDgmIH1q1bhf7ejiMajiMC3CssaGTJ1Dui0pLvNOqPlgR9MN0pxA9jfj5HU7V1cwlkA3oVlrccS0VPvAzwgVu2xPjQ5zvxyB4FbjczUFtvSN5Nzai/fK5Jnpo4VtpSTvIKigNqC/Aq0JO36jZlIW3A3hbk6oskruUGsaYfW6/ZbRRapkHIS76O4TDVv5trJ1QnYMlUWEIIwIiBEZEVSbpSh7ecoARA1gTWL2viundNgjHgB1uK5suwq+tVGZsEOwcVBRBEZAMGVEQ2fcJFdqCGNHRgh8GcbwEBOGfYsGrhDKX0HauXDTSOG+CNapV58bqthd54cmJkd6kQTcMPMlGlkYnLma42gWUBJNCVekIU9yZqm1k8XPHvFNRjgA/88J4Y7//HTjy6J5LdeLwc3zZaNyiBr6hJPtfE4t525NKx5nmw22AmrUB19XDTySoPgDwkjob1vL3j+ee5+5qhLSpNlktN2zSlV5FLYsmIRIGYC12cMyqtvcAiY/ZJyzWwIIuVnb+jCaxbmuDvrp0EB8FtWwpQFN5kremzDXYvGg6KVII3JYDPBcX01P8FcVUSjqgI2XMuilTmdwR413++YPLUdUu2jo3PtIYv5wpwL5oP3/MPEzSv6hvacPv4oVuCkSmKoV6CwAvRTAMw5mmAQx6cBjPhko6YxwbYDIQYWkJoBu4T/OyXEd77mQp2DIc5cFtyoKYqLu/2iO1culactIDbtdJ2vSU5wrb+7fJUxDkR5kjCleVu9xI31EXPouSuVWeQQ5/gcnXGoGfGcwu0nHJtvd3WTjKfnNmhQ5FOqw9U5iIxRVcIBHCbHOuWJPjMeybwrhS4/ZcxMnBDUXSDH/v0VXRHqjjSmqs5nkTiKYPg5TxNEdIaFvbVMT1GccGmC5JqI71qoLdyuLeziCOtIyZOBH4Anj2Ccu/ipxrhKY///U1L8Tsf6cXPtwGFuAkxIMqKSlJmGl/aabBWIMdkBJoeJoKWEPz43gh/9vdd2Dkcy+SpHLAd601MnonWu+3eJkZfbanUAXTOCWkBvUs/xLZdyWNTlVks/Nzg3YJ1m2rYILctNrQzSRwrrvZRDqidaGV3xHKbeNpptPnpESbww+3+KtzIhizzwZgP1qRYvSjB5/98AhefXYeXSceTJ/KmUm2tOk8r7VZMahBOqJIUG9IJ5YwDSQOXnjqC//vXT+KTf9rEFS9f9viSRUueuuv+PQiC4PgBLn4wDx/73K+Hb76j9FYvuABT0914eG8HkpTC9PzkLUBvDbULdYTYr5MMXsDAfeAnWyO8+9Nd2LkvAg+oJQXmq+JdcIeWYqJLz1RQhxog57l3S4cuoIWWzNZJFgrcZtO16OToQOf5B7zN6xaI7ZPAft40AmrVyZl1cxUVaCBz1rqfGU1odbDN3bietCwKmFmTYvXCBJ997wQuPLsOmsmwJWcSyPYtNcDXGjrTWr/KEZfVDoBHsXYxhc/n4eJNF+CKjelbV3f+dNj3jgrfI1MUACDeSajVqojjwtP3/iK6s4vueNm6BdOYmlGOgFRNwC3qYRxKrZo42xLcIcO+UQ9bfh3jo1+pYOewDe487zZaN5Fh+FCqJW4o3uLWQBvenePeyFnvWWgJ8idALj9FXeZbHLLZaItyHltAbW6a+VnOJSNEpV85jiY4kWyAaz5tnwS2WiL6iwufQx2EoCNSKafKGaWWNtl6anpUhM8BT5COFFizOMHn3juBv/4Kwy8eiLFvhABh/kymAPfEQRIqflfVRk3+GATyiuwDvh/hwce68YNKDy68+Mw7l/Sd/XStXse58wtHBbh31D0AfPzjH8eb/+DK0UqlNLVyqPn6IhkGISIpR7RKNs15RDKVKgi2H3MQLQcyeDHDzv0BPvGVCv7xhg7sOxDmwG3TkkA+R0GkUxkp662oiZT+fGpkQB3kscP01ITtW+9Nlbyu8rGeU12sRM647FBFjKOpmiVRSlqep87j9lcGu99jOxrUourA/TxYJ17L+5QaQsytRfa0HGb7X2XI1M7O59v7QJxA87ozXLCxgcH5Gbbv8jE6SkTcvTX7Rm7aLjWRV2jRdazD5+gKgekJjrVrz8SKZYv/fOdjw3etXrl0LtA9ugVXa3BoCGFU2Trij23+Tfrka+u1HfA9KiZoERgHUsl/tpOp1ZNM7Bdz7Nof4GNfruC7Py6innnGoSQ271ZyoNK6xQDTyHEq3WxBnSnYNiw/S6g+z72lopJPiTWcxJoVY73H+e0IMCcybu/LrffobctKE4UH+Rwxl3Qic8KZjBYpqRBMnIzCGovkFaJzWITTCUBIiqDi/RRSRpSphkw1M2KwZUMCmAimdeg0BQa6MrzpiiqigONvvlDB7v0BENl/NAXgiQMhnvwQaW8lVfIgE+aQ4uzTVuDU9as2L1+xbOvo2ORcYTt3gMfFIcxM7huet+Al144ceMBDUriSoymvKPmopAC60MSZvlHKQQNg91MBPvrlDgFueEL7sWkI9eBo3VK/y0cqfUsG1JIgnR3IutdfW4uY494w1lA4pa01mOYM0Lg3VhfGuuXTaB2wWr+5VTzv0pM2wNaZS1JdYUzNdycW6FUilgG9DuFDyHAuUhUXIaIhvUzM4pSJE4HbYIf2v5w2D6pEoQFEPsNVF9cADnz0SxU8/jQAX+UFMHlPJMipeU5KmQwA4wzlcgEDfV03X3n5pmsfe3z/vtUrFs4Z4MdUflKqLMb4gbv2DS7auK2jsx+EJ1B9S9QEM3VTnaZ0ByqPg0bA3oM+/vpLHbjxNgluPwfuWbRu1eY4oG7ylBk1onJNeEuInhBTlubOuJTbIG4dpgKpc+m3nMmWy3/+Qu0C+mirtXUETHIV4DiVdhu3fLUPz+3XVlGxQ/NWNyze4mgSV2FRziU34fyM2am1FJx70vH0xHZKEXOO119Sw0evmcSS/gRoWs6mVlQSeWvqG2cpUg7UmxkWLJyPC8/fuO2mH2w9JnADx2DB1Sp2zEdYXHxdbXLHcmSH3uB7TyEKGwj8BriXgtNMNHyRVkJdjZqc4lcPBvjSjSV858dFMe3LOwZwS8utqnPmMgXNtEF2ay6pBVIX6G2KHOBad8ClJzaQ84+PCnTuvq4st3IjbWtu7l16YiRF2avQBjogp5VxWTgunE0qg0Cq9MzQGS5PV2X3GMzoBQZCZPsJQHwIp9p5hZyYTKn4PwHphKZA6DO84ZIawIAv3ljC/dtDOZhWHCTlBD4XPg4jKRIvA+ccTcRYtbAHZ5685IaXv/S067bvevJY4Xpcki0O7NkMGgwVG6PfuDVp7nppGE1jss7xrz+NcWicor+L4ZLzGtiwLEHoATMZwfU3F/GRL5cxPu0j4d4s4Ja0hAbIFy5ERLY4JlIxsZxKw79znWKpkQqdvt/UBrvVSo2o/U12m+2AEtsRVQ6l/Zp0jsx+xhG12yc7/0+7Y6KwBuSq4+HO3+MM8rK6+Oq/V2d8qjEyud6QShxwqrFyfWoc6dfqGdmmCsupxCLMERQIEYJDQggmpj381Zc78K3vFTCTUIQex/rlKS45r4G+zgyHxn1s/mkB49UQYVzBwNCyuz7+tssv3/XkSPWdb77i+QE4ADzw0D3IGPvJB/7umxc9uX8/Mh5g7/4AvM5BgxSDfU285/dm8OpL6/j+7ZEA95RvgE1nA7dbuBBYercK5miAUytqSW0uboFGPW9xcAUujxhq4gKM5K4CCszW/mrbBr1UT2YHfBuAkzYnV0tHMaVWyb/Dbr6kj4e778uD2gK6BnauxPBIYDdtPUyLD6JBrUoRrVJDYkeqGShNxYnoEYxOe/jIl8u45fYIV15Wx3teP4PBeRloQJHVCYb3UyQpA6OLEfW/+6eE0ItPWrXpuHB6zBRFrf7BU5Axdu/6ky86d8t93y/MMB8kCMD9FEiq2PcE8O0fMoxOEXxlcxHjk4pvy5ua02iD2wE7XKeyRfqzxo1oC5YPzlihetvBhLUfNc/ZeSXtZLwWJ9PaX5HzI4Xz2y1LGdYV43bylaYiVlieEJNwxcB1x2F3GgTAqDXyA4amUGY6sonXlaMqD0rSEiJi+lANjJnUyKH6rciKIAIGRmS/FeWnUsgZO+pGAZaBgaOng+Gv/mQGfT0MV7y0gaULUyTVAPXJAhjzsGQgRRQxsMKFNb9r7b3H6Co667jfOdRXRjniH/6vb7rgsxs3rqmXCxF6ijGioAjwAJvOaOBj10zi9ZfUsXQok2PiiAG4BjnJAduAO5DW2skQbKOS5Pl1u+Qqh19bVrlFOXEATbQD6QZ8iCshGlnB3B0F3PlIZktSlZZOrBPBBnAui9C+t6t6VLti4zjCcS5bQvWMmB4r8rksF93kapsbp9Puv2I7nuZ9YigUuMhn2bPfw7/8OMZHvtCBLQ+EAHzU6mWMTnbj4EgF1ez0uld59WdByIeJ13ncAJ9ToGe2dd2nPsWLyy64c15nyeuPmucGybQHxrF2+QQ++fYRXHJWA/PmZajXKe7YGiNBrtTMkQUVPRGX8ohAD2a1nUrdU5DmqAkxOrgD7hy3zQd03JODOFZd0QlFN+xsw3avGwqTD/LYMuNszmv71AAnJcCKlFL7SmNdOfR+lsLjqkCtqb5GxyTa+bbPUpL7XPsSZj7D1Abkj998rqA8NQb8w7fL+OEdRezaH2PnUxFWLQJC2oWnDnaB0WXNQnnFdTx58r/FlXPSZ4LR46Yoai0p1Zsdgz2fGowGm72FmY+dQWfopedSnLkyRmMG8At1nLQ4RUAJkOWpibzBcy7xPlQ/E3fqmdK68+qJGT2Clhk27cDdPt+EOM8psOfrNNUxOlQkn5hibeQ1cHtpSiJ3UY9NgpXgK1x9vFZZbPXEVkvMwFhFUQAu2ivL9+upClzjUjQJoqQtVTEhexEgsudqEgqtj4vGQpLBKG6lFRdxoISLNN2EcewY9sF9D4gKuHt7D677dopL10fo7uxhK4vLP1ZnCz99cP9U85ni8/jJjVzv+C9Xo7+b1jZtPGnzKy46nW88ycfivjKmZjrQSEJwRlGty8bpWojOOZjU8G4fcDIDfZtjW2pISyps3qFsAbCxrO3zUGAYVN5yWpbNBrpe6jn3qTm58HYilb635D8N4pzWrWKKTkahdc/aURc1iU2dAJbenbE8dYFOylLUI8sInAxDnX1oaeXcpTDMKn3jkqYQDhRiLn53P0ahUMATT5Xxi20eyj3reaGyZvPwflpbv/F3nyk8nznAAWDpkkVYtuLkx046aeU16089gzHpuFDCkTSBr99SxEwq5T/qzwpuKgHtwy03czIFLcvtyn1taAl1LXLbfHDLetMcBclTCtt6m0twro3bHIobjgjyPB9XiVf2NuznZL8UybMNcK0eKcyMHDSP7fGDLufWKbOcgGX5anwrOMRkwYQENbfA3Q7kGfOQZT6KHsGb/1MVQaiLS+FRjo0bN7KFi5Zfs27tusf6BhY8G9B8dgC+avVJKHijzZPWnfnVvu70faVyAUk6iShu4NZ7Q9zzUBEZsUaJOKmvqi8HHGdSRSdJHrzWTWvb+WodtOfWbfO/Yb0m4WkDtl3k0qYfxwrmOYEcZtt0K2nnWLo543qupOz/B1iFyMwGPbHuTbTTOIn5mZvW/nYTIWnFs1xKrkq5dUAuW1Ew5gPMx0vWJ7jinBmgWQcnU+gZ7MZ0Er5v06azvrp738Hm2rVrn5Xv9RlzcLX656/C2OgT2ZI1r939jZv6pn6z71DH71+0F5vv6MLoZAHwYhnAMWmvCtxKNVHc28vd5pQw1TaI41rx2Sz3ER9roLdm6aljz8uLx4t6WyZsl3clqnigx5pA4ZirBFp1QnCdTy1EPNF/kck+gYTL64zVeo1SpU3ClKZRqvO0icXDmeLXRJa9WRaeyB4sIvGLgMIoL5xQbem7yw285vwq7n44wrVvLODtv7dhKvUv273/wP5s/clrni1YPnsABwDiFfGDe9ObTz31one+dEPy2Tu3frvnZ/dyJF4JCEID7Fy+BrXALPLKbSDbUUirIp7CkQzbOpYW3chr5PSItCQPdgvoTtZJjo7oVFMzvHROwLbBbDuSMFcMDq4HHSjLLhKtxHMCTFwm9hE5PlAAugXkEH4NswAtfggRvifUZCKqM8ClX2Kf9i3kxLckjkt0tIWskmeEgkiaAkJx3qk1vO7iDixe8YbRvqGz3g0cuHmm2vtsQvLZBXhXpzi4Rm3k+jC+xP/hVnJdUNnSFyV1gFIrK05WSqvEMYUPtOrWho60k/5mC/Co4A7JgX2u4J5FrmvznOIxx0pXtFW2lBT7RcdC554D1CgcY7mBuYOcM6GqqLmayooTQNRtOrPnAQIKJlNniQQ9IczqZmustwhE2ZSLANKxta9JjWaAnuIgPnntKw6x4sUfODzeuL6ve9WzCUcAzzLA1YoKvXjq0PTXr37l5XTvcPWTN3z/F31N0ZQajItmL3UGNBVntAw6gQ1uVynJN62fVefOg9uhKXMBN2ndBhwkWo0WXM7e5vuYzZJzbliattZtErCI/HAb4CZoSGS3EfU5wva3AznR1wVovmODnFhRSOhkLNVbRdASQlU+uRw4K4FNtfUSB2rapJu2cIxR7UtkmYdy6YJD8weu/BB44+vEP/5gzpHWMwr0HGl9+u8+gaUrz76/o+AfmpxpnD8yOlEo+kICBBGtABIr682D6eVtz6z0ZVhePVYSoZlVmQe3ldj0DMBNc+A+EvDVFQHUUBN3f+Jw9XYSZS7ib/Y3kG6zZZ4hR33UjjZZfoN6hTi1Fs6e+kS2js106OWmyZOVwwIuJiWnaYBm6iNJA3DGERSWjpJg+fsnx/Z8vbPv9OcKhs8dwAHglpv/Gae85Hce7O4uP9FZIJdNT4xFPhWXq1pG0dAuv/gKVWJVoMDtWWAn7hjxds6kHrJ6XOAmcwM3WoGO/D6kFeizAdyNQEJTNif8n6NC7Vf+OpH3FqA/fDaQcwfwzst623W81ferrqYmq9CXDVkJAdLMRzMJ0WgEmK56iEorpjq6Frwz8JvfGlr5Jidr4dlezwlFsddABSyOyzf0leanlRjf3PrgcFwIAvCZBjBTFSY6iMG80DQQ0rzb4uBUjSs8guXOPWeD1QV8PprZxjLnwG1+ZDtcbQGC4AhWdPalR3LM8rwd8NEEw+Ll9mKcCCuqHlucnMskK/FBXOYGSeVFOp6argDQUxfktuLo+kSBqTXllMp+LSIty6MMgZcgihrwAg4+QTE20YF6AwiKq+rwh95STyrfTaqNIzbteTbWc2rBAeC2W27EZa94LV++uHd7MyGPlGL/1SHG/cvPTvDHrzgAltWw5+kIjIYIKUHkiU5tZsS2mrQMQ1Ns0JOc5c45nHqsNs1ZeevE0ECns4O7vfW1sgcJaWvF3dcsC0ig4lsttETfA86JCA0us2k7q+Kp/KmS9wzss4noh7rSkqDNtSD339rfg66UMkPFgiBFENTxk/sJ/vZfejH8VA94WsC8gWX1cmXgTRld9K9pMp2tPf2NzzX8np1Az9HWe655Ix7fN55N01NuWr9m6A8v2rS8eu5JIa5+uY+TlybwkAnHhLjat8oedKy3tua5xKlZwK1piSo8sIBGabuiBZuitKmAR6vqMTttaL/4EV5wCsytfd1MQqtfSq58TWcLOo/tLEM40ciMETcYpCeemSBPpsL0TFT0ZJl4nMnHJgNR9sohgps/sjfGd3/Uj7vvL2M6W1ll3tI/XHN6702xfzA7+czfez6g9/wAHAA+cO0bccrgLv6etx36zvq1C96yeNHgxOQMx+ikB4YAHiUICZdRTK4dSWG9uZNFSB3QHsFy6+cJ3FA9cShMPgFrNppig3vWfoTHAn4+yzbs8t3WxCq3ub37vM4hYTnw6mgl5BgQFcUkVijffZ8d2VRgzpxtCpa5XbEYo8gykXtSKWUolxn6BoYmaNj/lkvffN93fv7TjK9c//vPF+yee4pir83/eiMuufCPcOFlk9sW9Hbvf3Df/PO/+T1efGqMoiPyEWt6Ijq3hR4QeFw6m8Lp9CRdUWqJ7XBq7p4Ht0VRSBvKQhy6ks8iJLOC25YPFZc3TqJ9kszmlMJRSxRtsV93/1/5RRJzEthnVP7KoF53n2/jQer/wObY7ntNMpd8nSvH2a4kEpom52Jg2bKFFQwt2TQy0lzx7kcOFr/1J1dUcPXVzz0tme2vfV7XY/vGEIX+n/zz97d86vobf9Z3+PAUfI8i9IA44Cj4HFHAEXoS2N5s6gbaWuOWRj05R9PpTJX7TPHFGLC20lYX4EoloTI40gJquDwfaA1MtePlDg+H2dY/HMk/5s57nW1iIsHmu7I671ogNRmaapvLYzaSoOdxBB5DEIjRNlGYIgoS+H4GzjNQvwv9Sy471NF/0QeB5GuEDJwQnD3nKspsa9XibkxPVb/2zje8jPQW8MnP/p+f9T15YBKVmIqsQk9Y8cBXlpu0WLJWPbk9uE3xb3vFxP4srYzIfxx7Z/GNvDWdfR2bDcmH7YkUO+w8cEJMRqHzPk5UqxSQPNgJdON8KtPyuZxlKXKZ7TxxE9bnhOsTlMn0AMpEHxbV38WjHCEnIISBogEEvSj1veZQ3H3Rh5KEfy0Me04MyHACAQ4A5Y4iJiZnvvrqy89Ja8z7zBf/6Wfdo4cnQcAQeBxhAEQ+gS+6tgEwQ1Ht5YBbAdqy6Hkn0gnAyPdDfLy23PKhs47VmTzaygUtj7yfHb43h+vKiBKn4p7ov0sBnhLIQaswQJdRTgVypYfrsL46s5j6v813FmSyAxXlYKyJIMjQ2dmNsOtVY4Xu895PkH3TD8s4keuEAhwAOisl1OqN61932emjv9o+vCKi3t/efceWIPIJipGH0Cey2lz0/WDKelifYVMVRy60wG0uuy6nJjaoybHa2+dv8TYPnO8AllQo/xZ9BSAib0VRGEhrbp8qRIbkxdhtcepx6z9iljOqOmMlHkHKCMAzxAFQ7jkvKXc0/iKa95LdoPH3CZ19ONTztU44wAGgEEfsjq07b/7AO343fHTb9uribvLFbQ/+mhDepIFPdSlWlgFpCiQQZVE6T0NxXGpbcgNuj+YcSNrG2bPdK80R1B1HmwuHXnO1xHNZc/4cu/DBfq+y4nCpHJfWm8iehNTaWQWUVLs3wgmInFAs8xjBuRjWmqTinnPFxQkIrbCO/rN5UF7xrmhgxTfqk79pFjr7niu4HNN6QQAcAM4/azXue+CR5knL+6/3eP32Uti8emzk0H8/cOA3CAIPnAONZoYqF5OKtA5sIUIaK23BPUq04kKoKf5Vl+a8w6bcR5VZbYcOBZhaIc7l5V/MpsYzRzuHFm9no0QtE9mst9poJ5ZFJ7DKMYmZGS++B8WzudNGTtMazpFBzLKsNQjqTYKMcRDO0D8wiGLXvI90dK34Dg0XPnH4N+PNvvnrnwfEzG29IK/I371pMwYGB73hPXs/MjE+8uHJ8f1evdHE2CTD6ESCap0hzWSSlgoEeUQ7o2JbgFtEMt0uUw4tsb+EFssNCSQu8/65lQaaVzZyFfX5hCu00dhtORKwri7tnVx1PAy6DuGIltxVftrROC4ixB7kSHbZXMmXo9opg+oxn2QE0zUPh8coDo2l8P0Aa1YvyeYP9n28f/6Cj42NHM4uvuTKEw2dlvWCBDgA3HTTZrzuda/F2NjIxx/fcff79u5+ILr/kXE8sKOBJBOmVSRkEfkDEQQ+QeABvq8ATuBRCuoRWYjcGkY/0jJDVcU947mx2upL1GA1PcKPBeCAJXVK8LVmE+YjkwbkfBb6RNocI4H5PzxPBNF8CWqhWnEEgZAAxXMMnie4e7UBPLQ7wMGJEjadfXrjla84/x96e3o//NMffw8XXfKqEw2ZtusFC3AAqFanEPoJMkY/OTP+2LnXf2cz/dH/Y+cePDziU+qjIyaIAoLQhwC3TxD6BEEgAO77FL5nWXBpYY/2h5sIIpfRPS4je0xG/1zpQtEiQk2je0rdBvVtA0A5rTpfLG3zaGWlM6aq3e3usUf+O5Syoiy73bfR9yS4fSD0OcKAIwwYwoAj8BniMEMxbiLNGigUu9I7HunYsuG017GN65dtSVP2oUIhQGflyLMqT+R6QQPcXtf/03fh+2FHtT75lQcf2/P627eM0TKdQWfJQxhKcAcC8FFAEQRUWneqHU1bGnRWjnbo+kYJnoxxZBlDxjhY5lpxDVSt2FBLlnRD/mJ/0hbcqu9gC8gt/ZtxMdtJzXLPdNh99u/NllU1laIuwAMfCAMRWItDA/AoyFCM6xjs43h6ZhALFl88Xi71rE7TxqFlKzaeaEjMab1gnMyjrT944+9ibPzRqa5K9GdbH1y+q97cdgppjr127+O7kGU+POrpWIXnEQSWBfc8N/cbgOGyNlhhgj3KKSNM7ksIuBxJzaVMqSwyVdUwKgLTxvEFzMnFHbLc6gOYfBrX0STMVM1nTEzRVrRJv93aX1Ms+feKz+YgTNCpzCPa+lNKEMie1x7l4CxDrZ6ib2A5Kj3RZtp/zqMDQxuTQuxX9Tz7F8F60Vhwe+3YvQ/lUnnJju07PvvAtp2v/cld21CfmURfl4+ujgCF2EMUeggDKh1N6LYQOo+DW5d6ywI6JwIHMg4kCVBvZGg0MyQpR6YmAFv5MB6VfF86ufnAkr2UAGc7ljpr0rPvTQhdJUc1U4J6A6g1OZKEm+kNbXwLQ6+4e8UB9LH7nqB0cQiUChwdhRTdHVV0dRYRd56GvsE1mxcvWfHuWq06XOledKJ/+mNeL0qAA8D42AiiMFj5y4ce3/CbQzPXbt++/fwnh3eCsho6KzEKEUUYuFZQ5VIAcopuJuaeqxYLymraCVwcQKMJTExnmJxO0EhEt1TFsz0JEnWl8D1qlBvPgFgrHTk+QYhJGFM5N0rVUPcqJ4RzIdGNTxNMTosTjsMq05PHo3RtzjhSxpFmTLdjM46t8RUCnyKOCEpRhgWDRZy8bikWLl5+RzPr/MdiZfWDjCW7enu7TvRPflzrRUNR8quruxcAdnHOdwHY9m+0Of/8TWv/5xPDu1c+te9Rz6cJfF/84Iq/CvoiFIE0A3hTgFxVrujiZqkmhD6H74t9p6sM49MMScos5UZ8g5Qq2mGCR3bVEWB1Z+DmhAKgI4gkx+sF4LlQNTyupbtCSjA2STA6mSLLxPEFPkXgERBCpYwuwJsSIM0YGk2GLOPmZCJGiYE8qTkPceqG07O1a1fuioP62+ctOP9pADvb+iwvovWiBbha8gfYOTI6upNl2eXdncUF55x9+o2PPnRXZXpifylLptBIPMzUKXwPKMQMoc+RZATZpIepqoiOCloBmeglnK1CxFEqZJjfO41SeRr3PtaBpB6gsyjzZAJ5QhCi+0xqh5PKHBoZRWQMABPF1oxxORJbhtC5+DtUZJbKCQ0K4HHIEIUMneUE9aSGm+8B9j5RwFAPQSEmKIQADak8eamhSBnHTC3DdJUhzYQMGEcUgU9QazDUGhm6u8pYtmzRzGWXnD9JKbtq/oJFT3nUG36xA1utFz3A1ert6QHnbHjevHlP1GrTJ4d+tsmn7Cu7hx8vb7lvV1djZhTzexk6S01Uyk1QAhweL+DwOEXoE8QRhUdlb3JPSGbFOEVXuYmFA5M4UJ3BwWoZvEYReBlAiA6UMM5Nwa6iLb7IYacS+IyIUdWMA2nGwZiYZkYZB/eoUFGo6StCqbmSRAFDMU7Q3dFAPZnAeC3EvtEiihEg4gHiROCcSMpBEEdAGABTVYZ9h8XE4UoR6PMp5vf5WLYkmorKa0YXL1nvxyF56/Lly+7p6ChPcA6mUnp/G9ZvDcABgIhqATY5tn+st3fw1mzkJ0vXbnjNHy1aNv3eB3758yaae8mivgMn9XZOxo/tG8WP7++DlxYxNI/CowECn+oEJd/niEKGUjFBHDeQsAQzTQ4kBI0U8FMO3yPIMoD50FaYEqJTfW0fIJWyHmswNJuZmBBMBKgDLuRFJukUkVq1sOAy5zrMEIVNENpE7BPUmsBUnaAQcsSpnG4s6UYYAKWYYUFfE0sWHMTWfT5GJ/pRLIf1/v7y9jPOXBlc8LLTr7/iqrf8/f/6/Neivt6O+tj4FKu8gPXs412/VQBXq9I9BABsdLIJn9KvBUHj6x6l2LBhsdfZueqLYXB49e0P733pk4fr3tJewatr9QRhSMAh5UYKBD5DOU5QbyT4xUMBDo376C9wpBlBmnGtRSu6oQAW+EAUQhRsSO6smlceHmeYnBFTxFRKAZf/n++r1mdKVTE0xfeEc9vfzXDO+iru3J5gqhGhJ2OyDlIpKBwEGQoRRRRRnL42wh8ni7LdI6fdtbC3vDNtzFxDKcuisIBbb/om7+5dWj3Rv9dzuX4rAa5WT8UZkg4Aab028rYoDrsvvGj0E79+/Cfh+MHhbEF/8YxSgZ6ZNCZQrVbhAegsAx7NEEcJxqZTPLSrA1kzQFAWH5ZlQJKKCKAAr3DifI8gDIA45CjGIhIYhRylOEM8nmLrDorRMYJSxIU8F0hAewRBZjpZeZTLCKMYBkXAkaYUYeDj1JVVdFeamJmKkKQcnDGAp+CcIwjKGBqah0qJ3xcXJn6V+Mu9q171yib3Bv4SvD7W33Piig9OxPqtBni7FRd6AWAMwJ8CwK23/RwAzidILyO8dtXUVG0NWB3N6Z2IIgZK6/jFwym27gxRjjgKgZDsMkbQzDj8FIgyyX+JUFbCQIC7XExRilMU4xQDPTXQcApPTHTi4KEyhro4ChFDGhHJ+wmikIFzT1wJfI7QZwgDBt8Tk4YbiY/xyQjrFozjtOWjuPNXBfhhjEolwKaz1qGrqwjfj3cM9JVvLJeCH3HO71iy7mUA3nWiv/YTtv7dATy/Lr/0AgC4Y2py7A4Ad9Yb6YrpqXH2wL37Wf9g3zJaWvvB4Yk9OPXkfvCZgyD1EYzVCGYaBD1lD+AcoU+QMRHy9H2hwJTiDF2lBJ0dDRTjJrorMxitTqORFHC4SuB5FB1NjiwT7c5E3gdDmgmqEfoZClGCQtREIaxiuuZjdDyCFwxi1fKl+OMrU2zYcCYOPTn5qRgje84771w6b14P5YTuBnBrb/e/L0s92/p3D3C1OirdAHCreszZkwCJu/YM79vil4rYeGpHcuqite8pRvzSA5Mck9UMd911Hw6OTaGbEsSxj3IpRCFKEQU1FOMGujqmUYgnhaPoMYDXwZsNTFVTUD/BVJNjpu4JkIOiXAzgBzHCkKNSBvp7a/D8HsxffDFqzQhjk0V0lLLbSHjgMxtPqQdL1qwH81bcQXhtfPXKeSf6K3xBrv8A+CyL0IUAMA7g3wDgiSefBoDthLCBiRpn09UE27btwNNjDVAfCEMfjPFkw2lnfDQkE6/qKMwkXZUZ3P1IBg8xLh1soLN3BpvO6cTiZZ24/KwqOG3gnoc60BsD/T1hMDRQ+d6+PQ9/1PPDIAxTFGOAeR3o6D0dJR4h7gxpGNIDCcee+fMHT/RX9KJY/wHwOa5FC+cDwB55c9av5P2jD98DgLytWd3fWQojHhVjHK5S+LwDxJ9BVKhicLCMKCph08kxMlrDvkNd6AyB/p6ILF06f2LJ4sUHLnz5ebn/4a9O9J//ol3/HzbssI8q7yydAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIyOjA2OjQ0KzAwOjAwv8kO0QAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMjowNjo0NCswMDowMM6Utm0AAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71899417
{'hecke_orbit_code': 247697979538939650, 'n': 1, 'trace_an': 4}
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id: 71899418
{'hecke_orbit_code': 247697979538939650, 'n': 2, 'trace_an': -4}
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id: 71899419
{'hecke_orbit_code': 247697979538939650, 'n': 3, 'trace_an': 0}
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id: 71899420
{'hecke_orbit_code': 247697979538939650, 'n': 4, 'trace_an': 4}
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id: 71899421
{'hecke_orbit_code': 247697979538939650, 'n': 5, 'trace_an': 0}
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id: 71899422
{'hecke_orbit_code': 247697979538939650, 'n': 6, 'trace_an': 0}
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