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mf_newforms • Show schema
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{'Nk2': 2116, 'analytic_conductor': 4.224086266925732, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[23, -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': [529, 1, [5], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 14641, 'field_disc_factorization': [[11, 4]], 'field_poly': [-1, 3, 3, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 22, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [1, -7, 13, -5, -2, 1]], [5, [23, -35, 6, 13, -7, 1]], [7, [23, -32, -4, 19, -8, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679889425, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '529.2.a.j', 'level': 529, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [23], 'level_radical': 23, 'minimal_twist': '23.2.c.a', 'nf_label': '5.5.14641.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(\\beta _{3}-\\beta _{4})q^{2}+(1+\\beta _{2}-\\beta _{3}+\\beta _{4})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '529.2.a', 'trace_display': [2, 2, 7, 8], 'trace_hash': 1334342011450275291, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.134', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.456', 'prec': 17}, 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mf_hecke_cc • Show schema
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'embedding_m': 5, 'embedding_root_imag': 0.0, 'embedding_root_real': -0.8308300260037729, 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679889425, 'label': '529.2.a.j.1.5', 'level': 529, 'weight': 2}
-
mf_newspaces • Show schema
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{'ALdims': [13, 18], 'ALdims_eis_new': [10, 11], 'ALdims_eis_old': [1, 1], 'ALdims_old': [2, 2], 'Nk2': 2116, 'analytic_conductor': 4.224086266925732, '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': [529, 1, [5], [1]], 'conrey_index': 1, 'cusp_dim': 35, 'dim': 31, 'eis_dim': 23, 'eis_new_dim': 21, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 33554961, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 3, 4, 4, 5, 5], 'label': '529.2.a', 'level': 529, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [23], 'level_radical': 23, 'mf_dim': 58, 'mf_new_dim': 52, 'num_forms': 10, 'plus_dim': 13, 'prim_orbit_index': 1, 'relative_dim': 31, 'sturm_bound': 92, 'trace_bound': 7, 'trace_display': [1, 0, 2, -2], 'traces': [31, 1, 0, 23, 2, 8, -2, 3, 7, -6, 6, -2, 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mf_twists_cc • Show schema
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id: 46776142
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 40532396679889425, 'target_is_minimal': False, 'target_label': '529.2.a.j.1.5', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46776143
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385501008537, 'target_is_minimal': False, 'target_label': '4761.2.a.bn.1.1', 'target_level': 4761, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46776144
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 202661983265235216, 'target_is_minimal': False, 'target_label': '8464.2.a.bt.1.5', 'target_level': 8464, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46776145
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 487, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609360913, 'target_is_minimal': False, 'target_label': '529.2.c.f.487.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46776146
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 170, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336727249425, 'target_is_minimal': False, 'target_label': '529.2.c.c.170.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46776147
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 177, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014535981990417, 'target_is_minimal': False, 'target_label': '529.2.c.e.177.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46776148
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 255, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028934491472401, 'target_is_minimal': False, 'target_label': '529.2.c.i.255.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46776149
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 266, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014535981990417, 'target_is_minimal': False, 'target_label': '529.2.c.e.266.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 46776150
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 3, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472507927, 'target_is_minimal': True, 'target_label': '23.2.c.a.3.1', 'target_level': 23, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46776151
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 501, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336727249425, 'target_is_minimal': False, 'target_label': '529.2.c.c.501.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46776152
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 334, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525334864101905, 'target_is_minimal': False, 'target_label': '529.2.c.h.334.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 46776153
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 8, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472507927, 'target_is_minimal': True, 'target_label': '23.2.c.a.8.1', 'target_level': 23, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 46776154
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 466, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021735236731409, 'target_is_minimal': False, 'target_label': '529.2.c.g.466.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46776155
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 466, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609360913, 'target_is_minimal': False, 'target_label': '529.2.c.f.466.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 46776156
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 399, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472508433, 'target_is_minimal': False, 'target_label': '529.2.c.a.399.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46776157
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 334, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028934491472401, 'target_is_minimal': False, 'target_label': '529.2.c.i.334.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46776158
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 501, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878929, 'target_is_minimal': False, 'target_label': '529.2.c.b.501.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 46776159
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 118, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472508433, 'target_is_minimal': False, 'target_label': '529.2.c.a.118.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 46776160
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 266, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354619921, 'target_is_minimal': False, 'target_label': '529.2.c.d.266.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 46776161
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 255, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525334864101905, 'target_is_minimal': False, 'target_label': '529.2.c.h.255.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 46776162
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 177, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354619921, 'target_is_minimal': False, 'target_label': '529.2.c.d.177.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46776163
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 170, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878929, 'target_is_minimal': False, 'target_label': '529.2.c.b.170.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 46776164
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 487, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021735236731409, 'target_is_minimal': False, 'target_label': '529.2.c.g.487.1', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 46776165
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 36028797052518929, 'target_is_minimal': False, 'target_label': '529.2.a.i.1.5', 'target_level': 529, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 46776166
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 118, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044109519, 'target_is_minimal': False, 'target_label': '207.2.i.c.118.1', 'target_level': 207, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '69.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 46776167
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 100, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044109519, 'target_is_minimal': False, 'target_label': '207.2.i.c.100.1', 'target_level': 207, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '69.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 46776168
{'conductor': 69, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 180143985128379033, 'target_is_minimal': False, 'target_label': '4761.2.a.bo.1.1', 'target_level': 4761, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '69.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 46776169
{'conductor': 92, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 49, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008023922016624, 'target_is_minimal': False, 'target_label': '368.2.m.c.49.1', 'target_level': 368, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '92.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46776170
{'conductor': 92, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 353, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008023922016624, 'target_is_minimal': False, 'target_label': '368.2.m.c.353.1', 'target_level': 368, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '92.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 46776171
{'conductor': 92, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 198158383637864720, 'target_is_minimal': False, 'target_label': '8464.2.a.bs.1.5', 'target_level': 8464, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '92.91', 'twisting_conrey_index': 91, 'weight': 2}
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id: 46776172
{'conductor': 115, 'degree': 20, 'order': 44, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 49, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504630453076543, 'target_is_minimal': False, 'target_label': '575.2.p.b.49.2', 'target_level': 575, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '115.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46776173
{'conductor': 115, 'degree': 20, 'order': 44, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 399, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504630453076543, 'target_is_minimal': False, 'target_label': '575.2.p.b.399.2', 'target_level': 575, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '115.33', 'twisting_conrey_index': 33, 'weight': 2}
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id: 46776174
{'conductor': 115, 'degree': 20, 'order': 44, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 49, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504630453076543, 'target_is_minimal': False, 'target_label': '575.2.p.b.49.1', 'target_level': 575, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '115.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 46776175
{'conductor': 115, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 376, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692863, 'target_is_minimal': False, 'target_label': '575.2.k.b.376.1', 'target_level': 575, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '115.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 46776176
{'conductor': 115, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 26, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692863, 'target_is_minimal': False, 'target_label': '575.2.k.b.26.1', 'target_level': 575, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '115.99', 'twisting_conrey_index': 99, 'weight': 2}
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id: 46776177
{'conductor': 115, 'degree': 20, 'order': 44, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 40532396679889425, 'source_is_minimal': False, 'source_label': '529.2.a.j.1.5', 'source_level': 529, 'target_conrey_index': 399, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504630453076543, 'target_is_minimal': False, 'target_label': '575.2.p.b.399.1', 'target_level': 575, 'twist_class_label': '23.2.c.a.3.1', 'twist_class_level': 23, 'twisting_char_label': '115.102', 'twisting_conrey_index': 102, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1012200
{'charpoly_factorization': [[[1, -7, 13, -5, -2, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 2}
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id: 1012201
{'charpoly_factorization': [[[1, -7, 13, -5, -2, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 3}
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id: 1012202
{'charpoly_factorization': [[[23, -35, 6, 13, -7, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 5}
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id: 1012203
{'charpoly_factorization': [[[23, -32, -4, 19, -8, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 7}
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id: 1012204
{'charpoly_factorization': [[[23, 70, -119, 61, -13, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 11}
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id: 1012205
{'charpoly_factorization': [[[-1, -2, 38, -9, -4, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 13}
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id: 1012206
{'charpoly_factorization': [[[-23, 148, -186, 87, -16, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 17}
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id: 1012207
{'charpoly_factorization': [[[-736, -96, 184, -4, -10, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 19}
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id: 1012208
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 40532396679889425, 'p': 23}
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id: 1012209
{'charpoly_factorization': [[[-2221, 9, 347, -42, -7, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 29}
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id: 1012210
{'charpoly_factorization': [[[131, -215, 111, -12, -5, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 31}
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id: 1012211
{'charpoly_factorization': [[[-23, -618, -325, -31, 7, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 37}
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id: 1012212
{'charpoly_factorization': [[[43, -150, 119, -5, -9, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 41}
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id: 1012213
{'charpoly_factorization': [[[253, 220, -22, -33, 0, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 43}
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id: 1012214
{'charpoly_factorization': [[[1, -106, -97, -5, 9, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 47}
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id: 1012215
{'charpoly_factorization': [[[-22747, 6164, 442, -159, -2, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 53}
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id: 1012216
{'charpoly_factorization': [[[67, -1062, -375, 32, 16, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 59}
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id: 1012217
{'charpoly_factorization': [[[-23, 526, -182, -119, -4, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 61}
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id: 1012218
{'charpoly_factorization': [[[33373, -160, -1495, -45, 17, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 67}
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id: 1012219
{'charpoly_factorization': [[[-23, -79, -83, -20, 7, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 71}
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id: 1012220
{'charpoly_factorization': [[[-991, -1696, -281, 68, 18, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 73}
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id: 1012221
{'charpoly_factorization': [[[-22747, -3197, 2345, -148, -13, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 79}
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id: 1012222
{'charpoly_factorization': [[[23, -95, 90, -5, -13, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 83}
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id: 1012223
{'charpoly_factorization': [[[-279841, 22218, 4163, -295, -15, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 89}
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id: 1012224
{'charpoly_factorization': [[[1541, -3240, -1530, -111, 16, 1], 1]], 'hecke_orbit_code': 40532396679889425, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '529.2.a.j', 'level': 529, 'portrait': 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GuYmzTMTiQstwPafcEg9ljpCTZNGJZahlMXFRXPZ9M0bJsL2TgzYMPMkE0zQ7ZttOzYpLhyu0dV1Tl+qslDz/o8cSjmmZMRierwLXe0eNvtlqqa4dDJSY6f05ydT7iQgvvwouWmqxf4j9+9wvbZCc4uTDG/XGWp5bHUkqy0E9q9hN5QcOjEIvtPtq589sjiK06eW9p16tziF279pneF93/hw19vSPydbv+oGXxlpcVKz1Lx+OX7njx6+y/8zifl2192+Paf+raTeqk1x3JrksXVGkurPourmqWWYKmVsNyKWFpNuLAKR5cEG2ZX+YXvXeLmy2ucvjjNufk65xY1F5csFxZjziwkzHdiJqcHvPzaLi+7AnxZJVABF5crnF/UXFgW9IYQx4aKb6hXEqYmYgxw8kJMuws7N3rUq0OsFSB8un3Djk1DllY1WCdFVrswjMFiWW6FbN3g0ekrhLIIM6RZ8dixecBqT3DynCYxmpmmpFERBB7EsaA3lFxYlpxfslxciQmCAXgxt17V5farBXPNKksrTU5fDDi3CBcXYy4ux5xdhqNLlpdetch/+t4VNk82OXVhmovLVeaXfRZbguVVw3IrYrmdsNw2zHckp9rQWe3wm/8mjr/9NbUHGpu/z3i1qx5QKv7ZYVilUm1+vaHygrd/tAz+xx/4KLffeiM/+29/6pf+7KNf/Te/9adfufTgqdVdx8535O3XdLlksyFONMYojJXY9A4Sd91alLQECs4uVXnkiOTaPctcsX1ArQKelviewvc19aqk5kl6XY+DJyp86Qmfk/ND2nHEwdNDNs4s8+aXr3DtpR1eekWLE4sxiz1BLRhw7Jyl1a5zzSWS1UHC/hOKRk3z3Em4bItlECYMEh+tI6YacOB0gNIJnozRHvSHkpuv6NHvSa69NKHdTzh5rsHuTYp6LWR1aNkw2WOl2+bDd8NTxxOeOT5g55YlrtvbZmo65E23dvi2V1r2bGqQRJMcPzvB0TMepy8YzsxHnJlPODovOLUa8ZLLF/hP39th0+Qkpy9Mc3G5xuKq75i7ZVjtRLQ6CStdw0pPcLGvaHVCXnblIj/+rRdlsxLtWl06urvTNbeoymXVWn3qy089/Al+771/+fWGzLq3f5QM/ofv/yjbt21Wh44c+/mTpy/++8f3nVRnFkOWQ81CP+G6XRf5Lz+6wPWX1riwNMXyap2lVoXltsdyS7PSgZVWwko7ZrkTs9iC0ysCXR1w29XLfPsrQ3ZvqLPabTK/XGUhY6+WkwgrHUO7b2gPLb1BzEwzYsdGAwgCz3Jm3kPIgJ0bFLu3WLZs6HFxZcjThxvceJmlVl3h2SPTNOohYegxM2XoD+DKHQM+ePcke7fHDIeW2QlJlPRpVAKeOzGg6tW5/vKYZ46FXFzy2ToTsHsz7NgUolTEmUXwPYsQlp0bY6Yakk4/oNvzaPc8ltuK5VVYahmWWwmLrYQLLVgaJOzY2uXb71zktis0Fa/J+cUmiysVFlc1y22Rg3ulk7DSsSx14UJHcbEVc8ve87z7x5a4fFuN1XaDVjeg1Z1CVS5NqvVNvzS9afsvtpfnk+tvefvXGzprbv+oAH7w4EGqlUr17LkzO+5/eN+7jhw795+PHD9LYhSdoWC1L1joSy52Il665yK//qNLXHdJjfmVSZZW66y0HchX2pqVNrQ6htVOzEonZrltudgSnOtaEF3edkeLN91suGRzhTCssdKqsNr1aXUUK11BpycYDC1hbEkS3GrgQTWwTDYtG6YjtDfg6PmQfUcCTFznDbeEaG+Vx/dPsGszfO6RmDuuCZhv9aloRZxETE9BHHloL2ZpqcbLb2jzuQcb7N4Mjx0e4lHj9TcbYtFn39GE42cqaOmzcUozVRdUA4HvC5SA2EAYWQYhdHqW1a6h0zOs9gxLXUs/Sdi5rcebXtbibbeHYBosrU7kenu5rVlpwWonodWNWe0krHYNy13B+Y5ioR3z0ssv8u4fnefqnVWWWpOsdqq0ewGdnke/D7WJrXiVzT83MXvVX23duvXUcDjoX3rZ3q83lPLbPxqAnz19mI0b5vyDh458/4EDh99z/0NPivmljhxGMBhaukNLZyBo9QXzfcnFTsjNly3wqz+0xA2XVlhczUAesNrxWeloVjuCVsfS6iasdmJaXcNK1zLfEZxvGaYme3zTSzvcekXMzo2KZtWj3akQeBJQhLHEGIGx0BsAwjDVGHD4rMXYkLseqzPsVbl0q89t1/aIzCr3PjHJ9Zd5HL7QpbXS5GXX9vjy4wEbpy37T1r+xVvb7D8RsHFa8qUnFLddqVjutTl2eprrLw+5d1+feFjj1qt89mwf0I+7fPFxBYng6BlNs6bRAnp9ibGCxFiiGJAG7RtaXUu9EbF985Dbr+zxTTfGzNQrXFyeYGm1ykrbHZuVtqDVhVYnptWNaXUTWj3LcldyoStY7MTcsneBX/qhBa67JGBxZYJWt0a751YMlzhT9AaCQVQ123ZeY3fs3PMTuy7Z8/6lpcXwmqv+cYD8HwXATRzJOO69+fBzn7p0fkm++6GHHvdWOoJu39AbJPQHht7Q0B2kIB84Jj/firn1ynl++YcWuHGPz2p7goWVBq1uhdWOz2pX0+ooWj3odC3tXky7m9DtG1o9y0JXsNCFKBly3WV9Nk0ndHuWN75syK5NhjiRaGkJI7jn6Qqn5itsnop59mgFTI0rtilu2GsIKj0eP9xjYbHO1bvqNCdXePAZj5suq7DUW2VlpcmmTZZH9iv+6au7PLpfs22Dx2K3xcryNDdc2ePBZxOmq5NcfWmX+VaLR56fpKrrvHSv5fIdA5Bdnj4u2DAdcXEh4t6nPQaRQkpIjGXX5pBvellIp6vYMmW44TIIwxrLrRrLrYDVrke7p2h1Je0utHsJ7W5Cp5fQ7hlWe5blvuRsS9AaDLnt8gV+8QdXuOnygItLE7S6VTq9Cp2+R6en6fYVvYGkOxCsthOWVkOufclLo26o/+0Pfs9bjjQb1U/7vme+3tj6umcyo2GPMOp/7+ljj//GhbOHp89faFOvKRIrEUIihUCKGCFBCIMUFilACYOSmkcPbeRn/0jzttuW+Y5XL7N7a8iFpSaBX6Ua+NQCj3pV06lKGn2PibqmN0jo9hM2Dg39oaUzCFheqHDmtCWMDWcvxASBBQS+smgp6PUVAo+4p3nJLsGeLZYdW3sMkw6ff1Rx4MgUr7sx4IYrV/jA5y2+qLFra49nHlRsnVTMNntUVJUw8pjvQL2i2bZR8NSBkBsur/LK6xf5k8/08b0Gr73F4gU9vvJIyOcervP88SqXbKmxa3PC3FTI7tmIa3YlKGXQygKWWhAwNxkQRh6dns+zhz26A02vr+gOJN0+dAeWbs99904/odu3tPuW1T4s9BQXVyy1ZouffOMC33rbkOsuqXN+sZGC28mSTl/RGyi6fQfubt/SH1rCBO6+91Gv1pz5jXvvf3T5zjtu/t/b7d6fNJu1/3UBPhz2MYgfPHvioV8+sv/L071uCyV9KoEkTqyz21AgQMjEAVsapHQOiVYWX0qeOTzHk4fqHDo3z1tv73L7VQMmG02WWzXq7QrNvk+3p+mkJ7s/0PSGmsHQMggNYWSJIkucuHsY+1gDUgk8Laj4gsmGYKoBm2YN2zb2mJ1q8YXH4b4nPaSZ4HU3erzkig73Px8RDprc9hJBq99nfqnOrZcbZid7VHXAIFYstCOUEbzkck2tMeSJgxVeccMEL7uuwxMHFdgJbrzK5we+ZZkvPxXypUfr7D9VYcecYtN0lalGjYkGVAPwtEVJMBb2HxckiSCKBWEMmbwbDBP6Q8NgaOhlq2Ef2kNY6ErmOzA0A15z/TJvvr3Fd73WEMdNLizWHWv3fDp9j256/HoDSW8g6A0svX5Cb5gQpsfv3LkL/MVffX56MIz/n2/95lfqbrf3R/X61w/kXzeAW3se6P7A8tl7f3npzD0bPNGjWvERQ0s1MRhDavsJhHBLsQO4QEmDUg7gnjJUPcFir8qH7t7GV55sc8c1q3z3a1a5ZneXmckaS6s1Ov2AXt9Lga3cPRQMI0kUC+LYLfWudssFlVpDxYda1TDdiNi6oUdMl8NnIz58b4Vjp+tMBlVuukpz67VtHjnU4q6HmtxyWYUdm3t88G6BEgHNRsRqd4ixoATMNXu0Oz4mrvLmO+b50Odq7LlY4U239AijJe7dN0OUVLj5qg286aY2l21v8ZUnejxzusbTx322TUumm4JaIPA9dxFKAUJYjAVjLFGcXqyRZRi5C3kQQj+EzkCwMhQsd0DoAdfvXeW7v2mVO65KmGlWWG3XWe041u4OPHr9VJIMM2ALekNLf5AwGCQMhgnD0BIlYFGcOt/iD//iSxvm2/aX3/rG2+3hk0t/fNnOmf81AH52/x/w2x/fwR/8yUPfNzd16t3Xb39othlEmFqD/jAGHBsZK8BaBCCEQAqFlAIlE5QSKGXwlMHXlkBbqlqwMlAstab4yD11Hn62y23XrfLdr13l+j0tZpIqcRzQG1To9j36Q00YKaJYEieSxAiMFS4LKiyBb6hVYgI/xPeGnF0a8pnHJEfO+Bw/M4UyAXs2+1y5W3HjFW1UsMC+ow22Tta4+hLYNLfCcrvJNVslsbF84dGAYU8yWY95/c0DPn1vxKkLDfZe6nF+dcBzxzy2b5ziut0L3P9MhwefEwxDnyt2T3PF9oArtnU4en6ZI2fh0QM1Dh+rU9OCQEvqgaXigZRpBsC6izVOIIwhTATdoaA9ELQjCE2MsQNeelmb7/6mNndck7B5OmAwmGCpVaHTDegOfHp9TW/gJElvKOgPJP0h9MMU3MPEPYaWQegupH4Eg0Rx8kSH5Y99ccOW6aPvvnr75tg+LT7AdUZ0hthm5X9c6Pc/FOA/9f98gC1X3M/3v8l+V7d16reiwf7JiuwT+3VqSVj8onUnSqCcDpfSMbdSaCXQOkGn8sHXBt+zBJ6l5idMVgSdocdKe4qP3dfk7qcHbJzq8a47W1yxfcCg3+Xq3ZbtmxTDyCNJFImR2Azc0uDphJMXLccvCFb7hk/dX+Ps4hQ29JiqKLbMaHZu0lyyFa7e08bIRd776TrLyxPccoXm6j0tvvK0QMQeG6Yk9VpML/KRVoKVKO3TGgguLguusjXuvLHDA09U2TLrc8vV0/zzb1nk/Z/r8OjBOt2Bx9Jqg91bquzd3OPmyzu8/RUdzi0v86n7A5Z6ASfPe5w96+MpgZQSgcBYS2IgMpYkNkzNRFx7VY/hMOKK7UPeceeQDROK6UZAFFU4v1Ch1/fpDd0q10+B3R9K+kNBfygYDHErwdCBexAa+qFlMLQO9KGgF0JnKBigePrMgH//O8/MXrdr6df/9Y/u/7lXwA9YM7zvfyTm/ocB/D2//1f8+I+8TvyLX+CdFfX8H771pU/UbrwcwkgxIKLiy1Rzp+AWFiEcK0kJSkoHbpU+agdEXwt8z1DxLNXIUgstE5WEqaqgF0o6YZ3jZ+r86l9Mg4kRccyN1/bYvSkkjsFYg7UuiSOFQCqB9nwOnvLZf6RCvaJp+JLZmmBuRrJhWrNlTrFzc8LenaskYonf/niTk6cmueVyjyt2JfTjDg/tC5isesxMWCYbIbWqk0LGSFoDxXLXstRKaHWrvPzqVR7b3+PAKcVks8LNV03yQ29e4nc+AU8cqdPtW1Y7movLTTbN1tgwNWDnzICfemePZq3FM8fh4GmJ51mUsghhHEtYx+ZxDLs2Jdx2TUwSeURxgLU1BqHHhUWf/tCtaINQ5fKtHwoGQ8kgFPSHMAxtKkUMw9CkksemIIdBKOhF0A0FnUjQNRDFgoOnoO49P9e+8IG5heN7dv/sL/7A15568CP2+tve+T8PwG3nd6G+pO6/58NvizurH/itzyxU9u0PePePLnPFTomUJgW1A7YUFiG9FNw2ZW6Lp11ttKcFvqcYepJhaAjChGFkqUaGYWQIQ0szhmFkGMYQxoJBJBkmAVFS4cCROk8fgMRaTHpBKQGeBF+5mo9GAFdvhmYVJuqSqYZiZlKzYRp2bBqyeW6VyC7z2x+f4OixCW64RHHJNsmebSt89bmYi0sT3LhbMtU0VPw+gQywShAnEmEtcRKy0q1wccnjhiuqvOTyDvc/UWHjlKBWaXDD5YaffNsSv/UJw3NnG6x2DasdxcKKZnayzlSzylRzgmYtYq4esfOGkMCL8XSMUglSuGDC4i6qKFLML2iiWBHFijBSDKP0MZQMI8kwlAxCyTAULkANBcPQOlBHhuHQHWf32iWYBunv9VNwtyPJSgT9MIZhn+t2t/lPP7DILbsWOXio8t69t3ywf/3/sevj7/w/PpZ85Ne/7Rsf4D/28+/l7f+uql522eI7tk2d+ZMnjy5VYlXjC49O4+uIX/zhVa7eblDSpKztXJLMKVHS4imLVgpPW7SW+J5wJ8ETDH1FGDmgR5EljF1EH8WlewJxYkkSQ2JwetuQg1sIUBK0BM+DQAsqgaAWSOo1xURNMjUh2DAds3NTj0Z9lY8/EHLvvmlWF5tcu0Oxc7PHZdsHJGKVLzxao+5p5qYUjdqAfUfh+WOaa7ZbekPFdZdFXLvHcuF8wsKKT39Q4w03dfjaM30On1XUq5LAb3LNJYZf/L4l7nmuz6fvmWWpbdm5IWGlpZlsKibqHo2aR71qqQSGwDcEOkErJ7Vk2lppLS5hZQSxkcSJII4FUSwJY0EUSYaRc17CSBBGljCEYZQQRoawRBzDKLvjGDxKwR0JWpGkHcFgGCLjLi/Z2eIXfmiZN94E3b5iefmJShQN/uzJ3z77z66/UX80/rlfS7zpn/rGBvhlGxtyUzP8js89sPx7Txw4WxkygVAC61f5mwfmCIeKd7y6zbte3WWymaB6VaQ0KJX5vAmep9Fa42uF7zm2CT3J0BeEkXAnJ1JEMYSRdA5CXNh+cWJIEucuJDZ1SlK3RAiRSiCB1gJfCwJfUgkk9aqgWbNMNgwbp4fMTXWI7Sof+Zrk/Z+bYUOlwrU7BDs2e+zaYti5eYWPP2RZXq5wxSbFVBMatYiLJyTzKwH+bhhGgrkJyeQkHD5uWWkbLixWuGxXhVff2OEz91WYaUDg+yg5yTV7BD/8pnk8Oc/f3D/F82crbGxHbJiMmagrGlVFrSqpBprAh8ADrZ3DJIVznnKQ4y7sxECSCOKEFOgQJZYwhihKHClEhjB9HEaGKIJh5EoXhlHK3LGgHwq6sWA1EnQjSzwYMlFp8643LPGuV3f5phug268SxXDTlX2uvez+Sq1x3R8efuYGHSeVv8TxzDcmwN//558gScz3PX/w2K+fOTXfDNQs0oInBAPpkwjBFx5VPPRchfPLy/yLt/eZasZUApdx1CrB1x5e5OHphMDTDCPlAJ4yt2Mc4ZgoZaU4hiiBJHFOgjEu4DLGZj2cKbgdwJUSadDqAFIJoFYxNKoxk42Yuck+s1OrPHAg5M/uqnLw+CS7Jjz2bIJtm3y2bYS9O9r04jaP7G9SVR5zU4rJBkw2hkxNxPi+Rgh3cfWHPsvtiNWepdWNmV/x2bGpwcuumOeuR3scPNukFkR4ykeICfZsVXzPaxd56d55/uyuBo88O8lSV7OhGTNZi6lVJNWKIvAEgSfxPBerKEVqHzqUW1wPqzHkQI8Tk65ujhSi2BAnDtxxBGFsi3vkXJlBLBjEgl4o6MSCdgyDfoyN+8zU2vz4ty3zU9/Zo17xaHeqDCOfONbO9rVNzp5abvbt+d+enL3Gf+7JT73/6hve8o0H8JWVFkrKH/yDP/nrXz5+4szMhhrUtKEfwzAR9BJBT3oMlWJ14PHrH/bYf3SVN7+iy53Xd9g4G9LpVOgPA7zQJ/A8hp4miJy9F0auViSKJGHslt0oTj3thNT6I2VuibEU4HZJypS5QSuXMPE9S8U3VCsxjUrMVHPI5tk2F1s93vMpjy88Ns3ySp1L5wQ7Ngi2bvDZtkGwe8sA7a/yoXs1x07XuXyjZKohmagnSDnk7IIl0BIpwFpBGGl2bmjzKAntnmKlbbm4XOXybRXefmeLj37F58TFAE9HCOFhbJ0olty4e4Wd39nmC0/0+OAXpnn8RJ2tU4LZekK9klDxBYEn8D2JpwVa4QJnKfKaDIu7yJwV64BtDDnIo5QU3CoIYeJqXcJYMIxhGAv6MXRjSSeCfmRIekO2zbZ55Q2rvOUVXd54k8ETVVZWK4SRTxR7RLEmjhXDSNPte3T7Z2dqzZ3vvvL6t6tBv/1H/71qyv+7AHxhqYVQ3j//0t33/fKTTz+/AWvxPYHFZd38xN2DWNATkl61Sivy+NBXK9zzTIcbrujwna/t8823tJmdGNIbVOinII9ij2Gk80ApjhVRIoljSZQI4liSJILEiEJrG0GuSqxjbilAKec6eMrge4bAT6gGMY3qkNnJLv2oz1f2WT781QkeeXaSKd/jmq2WzdOSjTM+W+Yk2zaGXLJ1hWdO9PnU1+aYUJq5CUGzLmjWIlq9hM89VKHhO1fIWOgPNW++bchnH3Y1Ma2uYX5Fs21Dg7fe3uWRAx32H/apBzFKCgdyU2MQOq3/Pa9ucfnmeT50T5sHn5/k1EqVTU3BRMVS8w0VbfA90EqgUhfKMTlk5UcmlWrGFCtcnALdEQREiSBK0qxoIujH7t5JYBga4jCkXu3y1tet8J2vbXPD3oSNU5rBoE676xPGPmGkU3C7czaMFFGssQbOnjqwQfoP/fLV195qhv3V9wXVyX/cAF9cWuX8Qhdj+N4PffK+X/vc5780M+is4muZHlynC7UkTbMLAiUIYkFXefS14kw74NzDNR7e1+Oj13R4x2t6vP62VaYnfMLQZxj5hJFjhCgFepwo4iRN2CQFwI1NmdsUiYXMflTS1XFobfC9hMCPqAYhjWqfhD5ffkLyF3dP8uzxCUQUsGvKsnnSMjupmJv22TQr2TIXsWNTm9MLHX7/03XiYZVt2wSTDU2zDs1ahPBC2v06kw2LEAJrIYol04EiNjGdyKfTS1hpK84uVLnqkgY/8k9WefdfBpxcqKNVlF4YmjiuMAglm2YCbry0zbWXdHnu5Fk+/NUqdz0+yblWlXqgaPhQ9yy+tngKtHTEIsRodZ0BrHEXXWIEiYU4Ec4/TwRh4pJE/UTQT6AfW+I4wkQhM5U+b3jNKu96TZs7romZrGrCuMZKKyBMJUkYacIU2HHq3kSxdMRkJMPBChdPfn7D5tner01vviOO+if+NLZTVGv/cED/BwV4r9dn68b6W+66+9Hf+cSn7mr2uy3qFeUUQWoBKgkqsegEIgk6AU9aKomgpwQ95TNINPPDKn/zSJ17n+tx85e6/Mtv63Dljg4bJhXNuiYMfcLYy5khTlQKbkliZNrl4ySBzQNKkCJL8xu0jgn8GE+FtPsRC+2I3/x4hePzUzyxfxJrfGaqgg2zltkJwUxTMTPpsXFGsmkmZutcj5nJFb7wpOHx5ye5dptgqiFp1CTNmqFeDRHekCDQaOX+vrWQJJL+UNMfRMRG0OkbOl3LctvjwlKTW/d2edlVq3zoSxWqywotIwdIq4kTnzByPZ6zkxVeuqfLSy/t8ugrz3FyQfJnd00yv1rjzFKAryR1T+BnMkw6gsmJPJMqOCaPrSA2EBnBMIFBDKGxkMQQR0g1ZMtUn2t3uvNx05UJzaomjuu0ugHDnHg8t8KWgB3H0knIdLVNjEAqxXDQ5uCzd89sH1Z/Z27rLStJ1PvUPyQm/8EAvv/AIbZv26Te+8d/celTzxxsimiVqYbOjiPGOKcilhatXBCoY/fcUxDEUEksdSXoJ5KeDhgkHkthlbseb/LA8wPqwZB/9sYW22didm7pc+vVHbRwLWJCuIPpspKuVjpLHLnzaRHSooTzci0xyJjnjkseO6D5zCMNnjvVIIxrNLRirmqZrlumatb54E3N9IRmZlKwaTpmy1yfzXMr3PvskPd+ZgObJzVzTWjWFc26oFGLqQZDHjikGIQar+5AZa0gjCUVrbj+8j4P75t0hU/9hNW2x+JqwMXFKX7kTRc5s7jEw0/N4UlARBhImdFjGEq6fc1Uo8Jks87LLu/xymt7fOerFjhw2vDZRyo8cqDKoWN1YqEZDhW9SKGERAgxFnimOQFriI3FGoMnEib8kAoRL7uhy+7NA7bNRnz364dUfUmj6jEMa7Q6vgN1rHOdHZXucSYf05KIOBH5CmuBOK7Q7oYsth9szp1ZvPT2V71LnT51JNm+49J/PAB//vnn2bRxxn/4kUe/X4nk1we9ZWYmfLcEplF7YsEk1qXcjVs2Ywk6sXgSYgVeAkGSAj0RDBIYeB6DxKOXVOl0En7tQ1PYOGLj3ICrdgyYmYh5x6v77NgQEkUi1dsSSsxNqj+lNAgp+Ng9VZ45WkdozclzNc5erFGpKiYCwWTd0qwYmhVoVAUTNUWzoZhqaGYmYXYyZuPMgK0b2iR2lY99rUm/W+eybZZmTdGoSRpVQ6MS43khX3i4wrAn8Ta4btFMotSrijfc3Oe+Jw3doaTbT2j3NKsdzYWlGlfubvCOO9o88VyNk8sNlDRAlOpljyhxbtIglHQHmlbXp1GtUa8OuXLbgFv2Djg93+LE+VW0l/D0Mc1Hv1pDKOXAPT5/0BrAgLVEYcLOjTHvenWf2WbC3p2WjTOQxB7DsEEcu26gONJEiSZOVC5D3HMH6jgpGDtORH4vJKS74JNEsdRaxa8nv/7cvsd7Gzbtfv/hQwfCyy6/4h8HwC9eOEO7tXj5yZOn3/Pkk4/JakXhey4qT0wKcGNJFOg8Ynduh07SmonE4hkX3ASJq6GoJcL5s0YwTCRDIwmNR2Rgodvkq88YLAmffMSNbMCa9J5l8VKLTLiKRCEkUiniSCONxtOSRgC75yx1z1ALDLUAaoGgXpU0qopmTTPRkEw1YWYiZm5qyJa5Dgkr/OZfV7h/3wb2zMBULWXvmqRRjalVQ+q1PtVqjUBJlEw1OG41iyKPQV/QHyZ0horuwNDpG9cyV/c5c3GCl1815CffeZHf+Kjm1GqAEAZrI0xiiWKPMJIMhq6MtdHX1Cs+tWqFWlCjEkQ0qiE3XhbiexE3XRbz3a/poVWcJoFcYm1ElKeAM8bV4geeAnwGQ83Ssk7rdrKYx7FzkrF04oL9JHO00ueREWls5JJLsREkCSnInfZ3rg089tjjsj+Q71la6X0tDIfP/kNg878Z4Hd/+ZPUa7p65vSRt50+fkRMTfhEEamfWiRZEuPAniSugSBWTocnKai9xBKb1LvOvrjJInpLbJw+jC3ERhAaSWwlidFEJnArRMnjhlKWUoAWwmUqFVSqloq2VFRC4EGgoeJbqoGg6ktqVUmtoh3A64LJhmG6GTMzOWTDdJctG5Z472cMH7xrI9snFbMNQ7OuaNQU9RrUqgmNasT5JcPR8wEV35XfQlbpJxiEmt2bDJtmB7QHPv2BTVlcstrRNKoVGrVJvvs18xw7f4E//NRWtNRYDIlJiI0lijXDUNEPXVFUryKpDTTVwKMaJLQ6LsbwvQRPJ3hegpYugSalS+eL9O5KV1yJmwO5oGXSKkuTxjVpfJMYF+uUA/vYZCCW7lyV5EiZueOknGgSuWMTxjAYWB54+Cmx59LO23bv3nX0wx/5WP/b3/nfls7/bwb47KT0O92LP9NtX/wZwUDWq5KhAhWJFOAi91iTxJKoFOSpRx0bF2iaFOhJalkVj+79rDrOLW1p4iYtqzVpsGTHOvBcJi9zbkzu3ngKPCXwtHW+sRZUAknFl1QDRbWiaFQljZplop4w2YiZbg6ZneqxY+MSjxwa8qF7tjBVCdjYMDRrwoG7KqlXDPVKTKM25JGD8PSBGpfO2VT3Fmnz/lBx017LZTv6PPrsZF5f3e3rFOQetUqVamWSb3/FMk8fmufh/ZvAKoxJXDlsbIkjm9eT9Iea2sBSrSgqviHwPQI/IdAGrRM8bdDKoJRxW7BIV/eDsAgKPVcE566E2GSOlMnsV4lJMjZ2F0GSvy5AXX7PWZApe5ssi0ruuUexZRha+sOuPHXq/M8LVfVrtcYvAeF/NSj/oQAehT0ZRf1fePS+P/vfw94Zvxr4OJi55EIUC1Qi0LElVlktSBnsoE2WbBApqEWedcwAbnIry2JSTZ8lK6y1eaDEmA2WpaqzhI6SacZSgZcXbbnsX+ArKoGiGghqVUGjamnWEibqMZONITMTfbbMrfDwwT6/8CcbOXVmkktmDZM1aFYV9aqiXoF6JaFaifC9Aa2BRUmFpyxSFp8sSRkuin2a1YhebOgN3f48vUFCpydpVRW1TkAlaLBrU8Qvfn+L//gByUP7N2JRGGtIEkOcxISxcVWZoaIfSKpDRcWXBL4l8BWBNnie8/u1sg7gKq33SWWKEHZNg65J4xhjBdZkQC/nGLLUv8yBm4E3KYO9VBqQJd/ylTlxq32U1rxEMRw8csaPqf3bf/Mv3+h1ur2fa9Rrf+90/t8b4NYuYm33l5bPfu5fJ4MjlUZNIfq2VFftkgxRLEiUQKW6OzEWkxRyJZcuxqYHzOagzlnagDWWJD/gpCyTy+0S/2SWJHm5rco6gZSzy7Jack9LAt8NAKoEbiRDNbDUK4ZGLaFZi5hohEw3+2yZW+XhAz3+4/tnOXhqmp3TzmFpVCX1mnTsXbXUKgm1SkSUhPz5lxpIpfCkRYnCJjQ2W8I9vud1K3zx8ZBOGNBLAd7tKzpdRSvQVPyAwGuyd3vMf/6BJf7D+wUPPrsRYyWJcWl1B5C0yq/iyl2DQFDxBIHvMpu+tnnGViuDVM6ylcK6RokM4EXKMwV56rSYAuwFsEU+daCsqU1JWyeZ5k6BXQDc5mUCcWwcg0eGYWgJE8nj+45X3vuhr/5v/+zbXyvOzLd+dtuGv9/eQn9vgM+fO4i15mXti/dXsQatqnjaAdUi0rJXB/I4cQBLlMiBbcqPqSQx6T2xDtCOubNH4RyZMrjX+VwZwLMaDJXXk4u0jjyrO5F4nnT1G76gEriZJ7UgoV514G7WQyabfeYmWzxyoMcvvG+a507Osm1KMFMvSZOKpl5x9SvVSkw1CPG8IWeXpvCUSCslU31LevEmkjhWbJ5yyZN2VKE/tAyGhv4goTOQVHuKiu/hexU8PcEV22L+8z9f4N/9MTz8/AYSIx3AE0sUJymTG4aBoRJKBr7KJZjngaedRHN1KhadliNLASJ9LGM8w7nNZIvJym8z4nGgzuKKfLU1Il99R4FdOtcZuEs1MFHkHo2Bbj/k019+uHr7S3e9rLz6/Q8B+NOPfQET+7VP/s0X/LmmT+AZLLg2Mu16KZ1Msag4Axf5UpWogqkzkOdALsuQ7HkOavui4IYiJZ1VCbqVRKRp66Ke3MkTqHgQ+IZqxVINnH6uVSOatZDJep/ZqRaPHx7wH/5oin0n59gyqZirGyaqgkZFUqsoalVBteIuDpfqD3l4v6A78Kko0ovMafCsCSExgijW1CuKW6/u8MhzTXqRkyn9YUKvr+gEisBX+J6f6udJrtxu+JUfmuen/wAe3L+ByEgiY9Jm6aIHc+hLAt849k5rU7z04nZ3UplSyDiZZnnXAzmlOCc7B2WgZyvtqKQEkxTktWbVTgGexJYwe56KEXdsezx87xf8m255be2jf/3Z3jve/s3//QG+unSCieltk089/PHfn2kOXxFGbrSDwLGBG2NgUoC5u0q1ljICkwLdpEua0Y7VbXpl24y1S4DOqgBzrY17UpYlpJ/BjZcQeZGRygEOKq0Y9DT4Hq4TyE8LrIKEaiovGtUhE40+U402Tx0Z8h/+aIqnT2xg06RmrmaYqEK9IqhXFbWqopazd0IliGnUBtz7tM9qq8LUVJEmz8BiUn0aJYoNM4rXvKTLvY8Z10UTmhLIJRVPUvE0nvbR2pUSX7nd8ss/NM9P/4HlwYMbiIwmSisAXdmrY/Igknl1oa8lWqdFWFKgdHZsyD9fdhFmUkVkVWkUCaGMXDJGz8jHjACefDXOY6fcMi4DnBzk2d2kAPc9gbAJJ053XjGz4cQf//Pv+bYfPXDwxOoVe3f99wV41D/Fcnj+p6Peke/wxEX8wAfhtLeWFqENApHKA4kSlli6klSTfiltBIkqH4wU7JnGNiVwvxBzp0jPMnK59pZZBV2hu7OKQa1w9Rna4nmusbjiGyp+QrUSU6tE1CtDGrUB0xMtnjg05Gf+YJanjm1kw6THhlrCRM2m4E7ZuyKpBo79K0FMLQiJzZBOGCCUxMsYPNfgqWY1aYYv8qj7A1cuEFaYykA+SOj5jsEDX+JpjaezDWgt1+yyvPtHL/J//p7hwQMbiYxmmAjCxKQsLqhEhsBzhW6+Nunq5Vr+VLqiueOTduVnj6XCrPzCLMc6ljWxkLE2XXGz5J7Nk3vW2pJxUMqLlKzh7Hl2kVhcBePhEwtY7/h37Lr/6aNhGP27/64MPn/xHNXm5p1Hnvrda7utcwS+BJIi+JACadIlz0AijGNRQ3oFO2AXWo00Ks+W7fIBE6VAsshKFla3LVi7HFSW+ji1TCsGpWsC8JQDtq9tXj1Y8ZJUN0dUK0Ommj0m6h0e3h/zs++d5cljG5mb0MxVEyYqlkYK7mrF2YkZuKtBQsWPadZD9p+w3PNEHV9KPGXSIK5Y9LPlO0oUsdHceWPEpZd0OXqqylyNvEt9MEzoDVIW1gqtvbzLSQjL1TvhV354kX/3B4avPTfHIKoyTCRhbKmlNdyBhwO5zlYvk/e2SpXkK5ySogRwUQJ5aZlcA3I7CvASuLP31rI5BciTtZZwUbefrhRCcfzUeb7ytcev/ZV//4M7T58+c3L79m3/8ABfXrpIpdrcdf70I/9lYbH/ll43pFoRKXtnGTDHTFIKZCJIpLMJHbAz3S3SLzyq28ZBXWaHNQziuCVl8DFwC4tUmS1YDAjyUub2tcHzDIFnCPyYih9TCUJqlSHTEz1WOj3uexZ+5S828cyRWWZTcE9WLY2qoF4RuVfunBfj2Nt3AK8GQ8IkYdCvUFHuIpNCjFTyZYkUF2hqpzf10PnAkSgB3OD7Cb6n8TyJVgolvRzgCLhut+BXfnSFX/vLmAcPzHCu1WRQl0wmlkZsqaQTBwLPpt5/5qTYnL0zqZIBPP+86YcW+TEvjr9NT0qxstpcsoyCPVupLSN2bwnYJi3VzR20kXMvYNgn7i695ct3P5jc/rKX/G9nzpw7sW3bln9YgFd4Hi+p3CLDJ96mon1MTfgjtlfW8yeNRRlJIh3YjUwBbgUmSeWITUGePlqTJWzsqMZbw9qjqjA7Cc6WzNjbpvLEloYD2bQL36RjJpIc3IGfgnu6y8JKn1/+8xqfemiOxe4UcxOSuUoK7orT3bU0sKwGklpgUwZ32rsShEDI3U/5rEQ+MwEj9diI0RUqSVzzQzPQvPqGHg8fDOlEAROpXTYIDf7Q1ar72gFcK4uSHkK6BA0Wrtgu+Y1/2eazD/f5pfdt5MziFP1JzaQvaMSGWgxB5EYv+8oNNPKyQFOKPAjOHsuBevnCFCLvFRmRKlmnULHi2pI2HwO5HQtCx/IdiS1WdpNjQPLlBw8jaxvf1jW1P+92+yf+QRl8ebWDqNUvO3jos/9qcPEr7NpqaPVqI+WpmSfqnltUkjK2LIbqGJVF3KL4Euuwt0WkltQ4wG3BKOmjFKYYLyFsmqEjtcEcsLVy4PZ0gu8l+F5MxY8I/IhGtY/WPe59OuGPP9fkM/dvIDRNNjQFsxUnS5wFmPnkKr2LlLnL7B2h9ZAHnp+kF2o217LPM87g5McqihUVT/GyK/vExgG8HwkGmRsSupFrns4sTpUC0WUfHdgEs5OC73hVl0Zwjvd9rs99z89wIarSq0iasaWurQO5TuMQZdO4JC2AkxlJiIIsxli8LFls/n9jAC+RU6bJ1wSiJblSAD2VKFaMgD02rulivu3ztace5s3ftPlfveW1b3zyO5PVw0L97XXjfyvA9x86yS/+4VeYmZzecvzE0VfunZznh78lACEYDF39r/Njs1RumpVUApNkaXVRkiRFRiwPKCkqy7KG4EKSjHqgDtx2RJYIkWXlXMWgkqQNyyZnbk+5WozAi/D9iIoXUqsN8P0ef3GX5lf/dANHF6bxggqbGoLpIKEZWOoB1NMO+2rgsp2VNCHk6leSdCVw8mSxndANfXyl8KXNA8zsa1gKdnLZPUkYe1S9AZsm+6z2GvQjkY5lcLGC5yWpzadSu1M5gI8Erq7y8S13dLnpqgV+5c8GfPALcyzHdXqBR92TNLWrwQk0+GmZsk4lXJEvsDmLZ8c2B3d+kRZiJWfy0uPaAHRMrpTAXoBZ5OztuosEkXENF6uhYCWOuHrnMa7Y8NArGQy3mOHi4e7qSeqTO//bAJ4kCf/ue2/f9aWHDr739/74BGe2T/C2O9rMTQwwxjFJHCukkGlRjs2XX6MExpj0/eJEGJPVOTDyWNZdY3VT6WEtGFzIbIZKlo3Lxky4sRMFcycpyGN87SRJ4A8JvD4nLsb84WfrfOJrMxy7OEWz5jFdgakgoRHYNPWegVum4JZ5UqiSau/AdxdOsz7k4w9oDp+sUlHCZQwzB4UC5fkYB+t0eBRrrtgJ33JThz/+/AzdmqYZWQaRJQjTuEEZtJbp2DpKIPdKtOpWhR2zkp/9pz2u3X2GP/jMNMcuTLAcV+l5mroS1FKg+9K6Cyd1mfLVLzuumX1IIVcQBe2MnCJbQN6OsXYZ6Ca1FxNLaSXP2DsrsksL6hLoGcHqAHZOd/jWOwb4yQGWl1/93krzzjeaePVvlSovCvDBICQIPB58+Iltxw8d2KNti+kNiqqfIGWCp+O8jkGqcrWZs6CszWoWzIuAu8TaJWDb9IRlWjsHuSiAnQ0JKuaomNQ1ydjbfUatYwIdEwRDfD2kk4S85yM+7/vsJs4uTWJUlekJxbRvmfANtZS5a3n6XqZ1Kqk0Sb3zHNy+y14Oo5DDZwK6YcBUkLo4WdIpcyVKK1RekxJpmnXN7m0hKhjQCRv0fUE1cgVIfiqvvFSi6Mz1EOoFglfF3ESPH3lLj7fdeYH3fbbNH35shsV+nb6uUNGKmhZUlSWIrWNz6aSKlkV5Q5blXMPkpXMxCm5GchVrgS5GGdyWdbcYBbiFoXHN6Yl1k7TmlwJOnTGEF4/t2bB1atvuS19ywpgYKV8Yxi8K8NbqArV6fW56wv9IZ+mA98Nvlrzx5UOmmx79ISiVACmDGomREmVkri+NFeg8AJWlLyhKjC1GWHttyU8WWhb9lPn0qxH2TqvkVOIArtOxE15ExQ/xvZDWIOSBZyR/cVeTj31thkHSwPd9ZnzBpG+o+5ZaYKn5BbgrgSQIJEEqTVxiKHUmUoD7nst8Hj9vue/xGmHkEdTtmgAzuxVpbndcwkjheZrX3NThQ1/ucvBMnX7FzXsZehY/Bi8yeKFBKTen0ckIWQz3oQBQYlz5ai3QbJzs839+e48rdwz54F0NHts/wUK/zkD5eJ6mogVVCUE6YMnL7FVp09nsZT0+WpQ1YiOW9XhKTiNypfQ8seVVLGXuVHvn5dApwIcGUILzrQa/9mGPN720ynT1ee/b3nnzR1ZXWy/p9boLf28Gn5ttyPNnj95y5tj9E9ftGbBto2Fjs0p3INKALg3wUufEXYVOquhSiWUBaLEOuEUenDibYQTZadhukbhHkaeUTV7u6XS3RaskHRiU5HJE64hWN+L+ZwV/8vkmdz0xwXKrgaxWaFQVk56l6RtqnqXmW6o+KWs75q4GkoqvqPiCik9aoWdScBsCz+lvpYccOgNnWxWXWEn17WjipACA64NMq++MJAw1G5uCy7b32Xcqphd5bkxDBH6IA5/KJutmiRqQY5055TgnSSRR4urD3/WaPq+/eYWvPNnhA19o8tj+JkudGi3p0/U1vhKuCVziejilRYssrkmnEIi07Hc9gI9jvRxwspa9C7CLHOCxgci6ntCQ1Dq07g/JoMK55YD7nzRsmepgP/nlide/9s5brrziss/zIsODXhTgYe9sUK+Gv9f0DtQbWzvUqyEZx0rp/k1pDUYKbNroq4xwPZF5V3sBbDKJkhbVZx0k+VUPIwAv6iKc9i4X6DtZYlLNbdxYZZngZ26GjFjoxNz7uOZz9zf41H0TzLfriEoFr+HR1DDhuU6eqkcqO6Dqi/Qu05LTVHf7giBj7wzgOsb3Yyp+iLURdz8RcPJ8ldlpgSdNqmNF0ehb+o42d52cpOgPPXZuFLzmhh6feCikG3n0I0HFs/ixY/FhZEurlMr9aoQckSnunsVEMs2aaqrBkHe9qs833bTEJ7/W4bP317j3mQbzrRp94dP3NdpTaCHwpMCTEk/YVGpZJCKVXHb0O5Vl0jib21JgTQHuTIPHNmXt0vPEOF89F+8CQGIFLPYEg0iw+uiZ+i232t87eOzilUD/vxrgS21D1/S/q7fyF5OXbTtMnHgYa9EyRkrX9uQYtsTKKchdR3umt2XpoIuiMSF7D/LlrDheduTAiTKwhUmbhw0iBbjWCb6OqFQiBsOEg2fhxDnFh780wecfazK/Ugevgm561JSk4Vka2lD1LFUPKp4Dd8VzMwldmaks3UX6c5uC3OQg9z3Xnnb0nGHf8QA8L13mbSlFP5oWHFmu8wYBN875mt1DrtrW5cDZGv2KoBYLgsgyVKTWnknZO3NTMguy0Cq5z55JRaPS6QMeg9CjWh3yfW8Y8uZbV/ni413+6ss1TpyrcOBsjXA1IA40A62RSrp0PunfIy09zuQhWQBtX1Su5E0pqVuWQEmaFMkhA6W2w6JHFMBIRTt008ykEXCuxaP7nmFupvpiHP3CAF9eaYkwCn/y9//y8OSemYSXXtrnxssilAbtWWwCcSRKm7CKEXBbK9MaYoFBjsmRDOApiildqPlbqd6mALcr6TRu9INMCAI3STVOEi4swZe+qjl6pso9j1Q5u1Ll6Lk6BAGqpqloRV1b6to4F8Fzg/MrnhvX5kCc3WV6VynASTV3Cm4vIfAce7sLK+T4Auw/UcOTo/ZgLlEo6sFzXZo3ELiexjj2uGpnn8s29Hj2WEwv9mhEgqEGP50JqEoAl1IgpBxhchgN4HIZlPZNut5Jj6Hn06yGfM/rhtxxbZuzK23uftTn2OmALz5R49xShaTvYaQm8hVIlQbLzlrJnZXy41qM5yB3sxFLWc/UOkyXM4pe2qy3NnEANxZiIBZYH4bKcvPeATdfEnLjjvtmX/eG/+1f/ejw+LtVsNuuh+MXBPiffvgzRFHCx77QY3Wwg11zLa7e0ebOG/tctTti81TCpbtiAgRJlI1qkOmYNMfmllH2doydgntcb5dvecRu86H02V2pBC9IiBLLsdOCfccUX3qkxrPHfZ4/XqU9DBiGAXg+qukRKEFNubFx1ZIPHOisTiMrm3V14UEqS3xf4fsyvQBsob29xGUWPafzK36ENSEXlyVDG7jpt9KiSzbbeF2HzZfpot8xSf1wgWZuOkSqAd3Io6eFczqiomBMKzOSgZSiBK9s2BHZiprJoKJ/0ktUPn6iN/TZNBWyY2PEjZcM6Yd9/tnxFs+e8PnSwxX2Ha9w7FTgplEFikQqEJIk/3Ky+NsvumlfKbmRM7Ndy9im9DoyaGHZszti61TMFbtD7rwh5Iodgk1TAYOwXb946uHvEEK/+7+KwT//+btYWGqru+7bJ+YCS39QY9+pgH1Ha9z1aJcJHbFj65Br9oa87uYhr74+BJvgeTHVmk0nSUkwBfhzcEPp+WhqTAj3pYV0dSOkciQKLb2BY/QTZyR/eVdAL1I89XyFI6cDFrs+w8QH7YPyUE2FLwVVBTVlqSjcODOVFh4px9q+J1zSowxuT+KnsiTwIfBJXROXMve0wffiNCMaUa2EzK8kfOnBBq1OwNSEQEuTlwxkOFhzutNza0oZ4OFQMTujeP2tA774WJ9TrTp9TzqZosGLLV6Uedapxy4TZxdSnnUi879hrC79DQd0P1EkWhF7iihxg3q0jgm8iLofccc1MS+7cshbXzng0GnJ0/s9+qHig1+qcfyCB0LS62uSUOVtU1ZTZIPWBXqWmi75pNYgYoswFosDdbWW4HkGgeXVNwx53U1Drt4bsnNrQkNJpmo+g0GN5XaDpdUG0epp4TVeoh558O74ltte/XcDuBAwN9N8T00PrpupJS6at4qWrLHQEyzEIceXAh58NuEjX46Zm4qx1nDD5RHveu0gLX+EuQnD9ddE1CsZ6EWWbV/vr+bDeVo9wdPPeCy1JdUKPLLf49NfqzCIFINIcf6CjxGayHoY4YHWiECjpcRXgoq0VFJgB8oSKOtqwHXq+eqCuf2sLzMHt0p7NEXO3r5n8P2sQCvJ2dv3I5QK+eqTik881ED52tltI/r7hRk874RJMsdDMRh4vPm2Pp96oM0H756gG1eopzrcy3R4lCVlMidLIITMAeb+lCxp/RLA06xzrB2Te1oRa42OEwd0laCUG6Q/VYm5bW/MrXsjrBjyjlf1GEQuu/g3Xwt4dL9PNRAsthVPP+vT7slUJb0QyPOEB9a61sDrrw+ZnUzckNTE8q7X9rn+sghrYW7KMD0Bym1RQBj5dHpVev0qq50qiys+K73kusuubL7HWn7k78Tg/V6HSrXevPvLn9k7OylUrSKxq+nJkhrrBaAExiiGxnCxlXBx1S05h04ZPv3VpqsySywTU4ZbrgtpVF3B+wtrkvSgpK7Dalfx2D6fdksitWJoJEOrHTMJjZsLrEFqpJR4UjgwS0sgDb50QPAV+KqY0edAXoxJdnv8yLzxuAxux/BpWa2XMXhSuscEOsLakLOLPuGwQjAh8dO0t0qr8kaymCI/vyNJroxZE6MII4+phmL7bIgvBvTjgH4sqGo3BDOrIckSWkqWy1tl/rfc38iCfVP4zsak/ZOl8Q9xkuYNlEuQqZgoTlCRyyVolSBlzLZZk64Yhit3DAhtD6ktrZbgsX2a1Z5E5YplNKgePdOufLZesbzsuoiJKYON3U+qUqBFWr5h3Di+0CiSWJMYN5slUzqdnuLU+Vg15rp73/JP3txst9vtZnN0Su0agIeDBeJw+d2BPfKql1yywvnlkPuO+nSNmw6L1OmypF0/UqanrCXG0Mq0lbS0Vy3nv1pnNOSg0GJl7Vha3qwQmGzLBdKaU+G0X74plXApZgfqNO0sSTduzXzj0qNOO+kV6dZ75OB2bV1uuH7gC3xNXmLqGDxlcW3w0+yo50UEQcTpRcOffbEO2seToggwc3myTm11ySPOhoQ6sCmSxIH8u1/f55P39nn+YoNu4lGL3aa0rgrQFp04KssJFMFefixzJSBLBV7Z3eS1MForvMTlD1y9uEoTZy5p5urG0+cii4cStDAIa5itGb755cYNXxLZuc32z7DFe7a8jKXPE4WJdR6XJbEgLjlvpmR5Wuu2kfO8mNnJFudWPO553LLQO/yqq685/e4oTn78b2Xw9oVPIJD+VPUg2665yLHFPr0vbiAK6g5kZMGFSss1DSO6qvyIJfFK12/ZJB0Hdlm/5cutREiZt6ApAZ4AX1p84aSAljivVpHWVBTzDrXMSkMp1UKnTbhpd0sBcJnLlsC3eUub75vS4JwYL2VvX0dIGXLygmChXUFoTSAZkSdSjF3DxZEaqaAs6+M4UYSxx0xzyM5NfQ5cGNJPNIMEgkTgJRYvTnV4nKXTTZEzEKp0NYn8kDuHK6u/FiVpZNCJIVESpV0Ts5Yq311DKpOuFOk2M1nuQZg0H2HcBRZmk7IKg6Aos1hbMpeN+cjzIeX4zKZEVzImMgdOYPG9kEqzz4ELkoePbGZheIH+n9zlG7NWIawBeNN7GhA0N1zE91ZZ7VUwJIWPVxrc6D5QiZ3L2Rr7YnKk/F3FSPNC9lqJLHvmQK2FdY/S5jUe2fP8vTGQZyMitHKbS2ldzENx4Jbu0c+AngWfKbiz7h9tconiaadPfT8iJuKzD1S5uFDFm1D45RqOsoMCoyd4pABJjAWBisHQTbB90+1dHnhmQDuu0NOaamwI03S6kkVBVFZwJoQpnZss0CxGbTjrMJ2pYkmnHAi0EcRKoBOZShR3j1OgF8k0kyfYZAZyWThdYsz9yqo+1y/AKGWvc/gUIB95LNUoyfzfNmxotFluNXnmhGQ+Prku5EYAfurwX7EqGi8Por++6cz5Nl95yufDX50m0hWQKjX5ybNYdvxDlD74C+G7XLCTnfi83iF9rkhtNpHNNHGvs+fuMevYSeeN5zXgo8DO56AoRnZpGwF4FnBmultnssSmenu0ltz3Inwv5ELL8MSRKmgfncoTXSpQyo6TGEO4O2FFE3XRuidzTzyKPG64dMjMZJ/WSo1erKgp8GL3XVRi3T0qAxwH8vwPyaK+PssaG1uUUChDYgSeESRKkihDogSxkqkVWRSvZeUQGbCVsjmL54NNSwm5ovKznARaH+j5T+zYb43UJqX/jjAkQpFEPu981ZCl1TPc8/QkjZmpm37qn7/u5cs/cuv9P/D2N60P8LufFnhe+M2PPty8/p4n53j61CSDsIIKlNOXogDe6FU4Cuy/JZQsTnz+2o4AvDxyLbsrWdRFZB5z9p7OW9QKYCvpZInKu1cKYGfNt469U82tyfV2Zgk6xi7A7eXViRGCiM98LeCBZxvIQONL4eZv5xWE5Xr1ch11+VilFZalgrTEuAGX/YHHrVf3+ZY7OvzhZxqESUA3kVQSyzAuXdSiJFOkTFm8/KdeiMnBaFmq33fgTpREKeMYXcp0tEQBbidPLFIVlZxF8VvxfFSqFI9Ft/56KB/7Sf4i0/KuwcVlZyU7N2h+/p9FPHXkIqGau/7S7fPfnMTh/esy+NHjZ5iZarz+9//8S//0Y1+xXFjdhO8rqnVXWOUKb4qSyfErcbxncgTUJcbOmbvEbrL075ZBntU8lEcbZCzutiAhZ3OdddAr93yExdNuGE+NgtuNUxhj7rRn00/b2zydNRzEpXtESMRf3d0ksQEqz16WA8yirzFzNkY0eMbieWeTm/fnuqQUSaIReLzr1T3+/LNDVk1EP6nQTwReTM7iUlpkLPKiM2cXjtceyZI1WSp6MoJEpx3wKgW5tijj5EqijFsllEyzxzIvTZZJZlEW4M5BLku1+ymbZ1Ilx8GL5YRKAB+J2IRFCIUUbpbhIAxQynLtrpjIdFAq/KdT2//JPe3Vs19sTm4dBXgURfT6w0tl0tsz5XWpz/mE6b6SxfJhS39t7YdZl7FF6QvZ0dc5m6dXdc7sJRbMGVwUiZMy6LOZg66LR+RaPBuNMDLsJgW2VqJwUnI70HXcu8ZkmzJ3EWDqEnsHXsgTRySHz1WwykNJiS9NKqPKK0+xVK2p1RjR4OVWPpE7KlHssWdLxFWXdHnoUJVI+fRjQUW6abw6FqiUeKQUyDjV4UgEhtE/KUosLkrSKOuiydwVV++SKNd2mPW2FuA2+UxDKWVR+CZA5IBP/2ImmyiV2Qo7gg1KXbbrAmnMk8j/u/Rizdr+Wh2Y3Wb2TGwcXprE8RfXMHirtUocD5F2wEzDMkwM/Ui47fhKQdHf9ZaxFSJbJMuAt8VzMcrc+bJOMTevPAoikylKCNc9n4E97XTJmVwWY9qK7b9T5i4N/3Hd9uTAzrOVOXMn+NoldlxXUIQl4qN311haqiIC7Xz30sqypgZl7KCUtXeZVUe8aaOIIs3stOSdr+nwxJEmw6RCT/lUE6fFs3JWJUnBna0VJvXEs8JcADnSVGJHGr9LPZHpZARl0nhCWpSxpcSSTHV40WhS1ObL0Zp9OS5TMuCXMWvXAme9mx39JXdhuqTVINSstAVyNWJqeZkoGuS/mQP8gfs+j6cl8+eXadQ9bN85JEqIdHuLtSBfV46Mvy7JmcLKWitTylIlb5USJXDnz4tpTHKMvcsTZB2LS5QeBbiv0wFAXrZ1YJrh1BYvT8Wb9HkyctfKde48fxI+cleDofRRUqXZy9ELcTyDuUbSZY8Zi5fcFJMyeJxogkTzztcN+JPP93jmWJVIefSkxE9M6h4JZJIFeukxlCK36dzNpH9rdN+iMpMnxm1OkPXV6nT6r5JOpsjce08bIWTB3G7nDEpSpWDsDPBk2pzR1WxEdYsXAH3J7oSiYcaNv1MMhppBqHh63zEefXoRUSoP1wDPHTnLVXu21N73gffs7gzOEaaRuVbuX5XZdhP8V7h/64B6FNzuHxph7bHgrLzUiwzUeYBJXlFXzPcg39Q1m0OoMgZPkzwj4M7S917WmGzS7cIzcGc9nXF6j1BeyOGzmk7og9KpPLFj5bFrL94RF6Wkh+24F5524xSJH03dE+zdOuCZwyGJCegbn0riarZ1qsFVqktdYinzHgzF+mnyM1NUf7o0hs4Hm7r3lIFEOsCrdHcKaYoJAWoE3AXgc5LKGlMowD3O5LmmznGSSZV1ZHDZXRlZ8dwccmtd7sJTbWY2TO/+rn/6b2o/+ePf0fOqOx3Aj588z9JS63VH52d++suPP8Ompko3ESV9tAXAsz/yQsw9tvyU9XYZ5FnJQtbOVQaGkysiZQVGZIoaGaqZgZyiRlqVQJ0/T5M8itQLd+B2AC6GAnlleVJmb5X2dfohyx3D/++vGyz1K4jAc/JE2pFVpRic87fU12XH1KRjMspuSpq6j2NNs6b5ibd3+MoTTZaGPqHU9KXET3soi5EP2SooSkGeISujtZgU3KZU6VlsJKDTkQ7ZLMcM7EqKlMGdJEpK0sTNnyy1DwrSsuaSIVGSLQUebMHY6zD3eIFa2cSwpXjFWHesG7WYnZuX2bbnmp/uLD93v0m6n8wZ/Iknn6da8Tl36jQNnaCUypc8kQaGMmfw9Sm8/HlGl6AXYPGS3TgC7hQc5c1LXVBZALv82h38YvyYKoFaS4lOJYnOAZ5pbpMHlZ42Obg9ndVfjLK3pyJ8P+TDd3s8d7QK0kNKSSAL63Tc2iwSYy8C7nKwaRmRKbFxLWdx7HHNnh5vuaPNn3y+gtEBfekTSJEnfZQURCMB3iiTizKT5/2S5XQ4GAUqnTFprBu5l812dKwuKMZKZBo8+96l+S9lmZKzetkJGWPwnBRLoH8xUihJrOyzCytZbvmos/NMDPaRxG5jCA0w3fSoVDxmmoqJutsO2hi3xBhDNkCpYO7xwLf0ckRzlp6PuCdC5EyTBaH5BVX6eS5NctYGIUU+0H59gMsC4KpUQ63TuhSPXIp4qnBLvNJwoEJzO/b2tJtatdIy/M1XGyy2Aqik7onI7MEXliiU+hjLRLWubZdZhtmeOInbGXiqqfgnr+rxqQcGLHUDQqXpJzK1J0Xq3ogi4JPjrOjYO3vL5GxedLzrzFlR6XOZvpY4PS7GQD4GcJF//yzwFKMMzuh7mXWa24lWFtnPNYZ4+dsUsi4jhiiGOPapDKoEUY0kduGlPnzkCDPTU7seeOixn3y8s8B003ODIWP3DyBtUSvzgg0Kox63ey1GlqAMxAWDl8Ydk4E6q1oESTEMsszc2Ujk8uzvcoeLG+7OKLiznQ0y5lYl5l7D4Nm4iWLkhFYuc3n8hODQyQqGACF13pxbVA+OToQa6XQRxQkqxzJFprGcsi8cFWNcsInVXLEzZM/mAUsHqtjEdyyeOJmiSy5OIQfKhV5Z3ZAsdb6nbG4Ln9zIYmbkSGyTAl1Kp89lOSYShe8v093kpMgSM+XVpCTdxuRKPiU4e8xhbUuSQIytfqXdJGLJYCg5emIZv1H7yUv3vvypkyeOntBKGOJouKle4fWaDhN1j3YvSXdqcEtW7p6Ms7ZY+3xcc6/7WmY2oFjDduXRYfm005zFR4GdPyrSUcBlH7x8T7e0VmVwl0Ce7lfvpaWhGXur9LXWEUpFfPahBocXq+AX8sQrWZflINl9v7XHbHy5LdypUt9qeXezrIw21FwyG/KmW3s8+nwNjEecOC3uJemQz2RUKom8C74cwKUgt3a0TzZ7LtPnMl1VZHZ3k4GlsTnoE1mSjyZlcDO6Cq9h8TKTZ+Q35q7kwWiJPddzoXIWT9x+UJ2B5uyFFbbsTF4/GAw3DYbJCV2vuiHwc5OGHZvg4Ml0IH0pmB0p9PvbAP4isqTsKhQgEHkipJimVEw5zV+PAdtlMjMXpTTMPQN1WptSbNvBWmDrYkBQPuJNmxTksZMnKqJaC3nooOKTX63TH/hQ02gp8MSoNBkPMMeDa17oJI2MVBhL+KQgj2LNREPz1jsHfP6BHo8c9LF1j34S4AnyC02tAVQZ3AXIy1UhLvhMLzDl2DyRjtyMdNo8MUXAaWQaaKbnJcmDzfEZKqL0ObJtbSgxeQbsDOw2X+1GAvSxDbLGj6cQbjVJEjgzH7PYihmEht4gQTerXbQn2LphhVpziSMXZ9DGopQYOTnjNt96J2/U8x5zEsosXvqSZd1d2IXFnOq877AkUfKdI5RI54AX4C5AnpXNWrQuRijrdBMmrUaB7uVs7e4qdU58PyQKEz7/YI3nT9XA8xBS4QvyzaXKwaWQoxewWOfYUGbtrAF3zBnI+1tLdmEYaq7cEfOG27s8faLKMPZJpEffKPyEsc8iSky4FuRrCj9VdrEZjBLFyi3do5RF1jOPfSRI69hYmUKelG3f/PxSlqOsJbsUJCPFWS+gBMpFXEK4lTkIDI1an6881efYxYg9rYiVVoR++JHfpRZIDp3u8xf3WE5fgJ1TEGDRSuS23fiHGdHaYx96rS0o1vlSYswiLA5MztxpQ22u8UakSckqzBk7A3gxOTWXKClzO8a2OVPr/LF47qXBpVYRgR/y7EnBFx+o0ev7UPeQIqscpGQPrpPFLK1cxbpWsluxqQa2o25KOeFTKsAKI49GI+QNtw351L0Dnj4WgPYZGskgSR0VAyopOxkgkpQFhXBp6bLfrAonRyvS+hiBVY7Ns1Ul09xWOkctA3rmgRsJ0ohSoJnqb1MiOrN2ysA4iNdNkK35mU0brR3IlbJU/YTNsx2+71uWuPf5T/K+D92DljH6Hf/RRwoIoybKCLZNjMqTcjaxzLwvqK/LJ1WMf3CxBuQjrC3L7xWaO9vvJ0vPZ7u3jbO2m26VAd6xtcrng4+BO717pfpnZw/G7p527cQ24TP3V7nv2SpUNEjX0OxlafIyqBm7l1+sJ1FK2eHctksbyjNHJaucy4A+HHi88poeb3p5j+dOVohjDysUfaHxEvLPJJKCxYuPsD6Tl2d8KyXyEQ/GmvS1cMk+KZx0yfz+jM2tKIHXro2hKMUDJZCuwcO6K/1aYhXCXWhKkoNcCEt/qLl+T8Arr59H6wWXxNo6OYEQgjgKIexT99zk//HCJjGmL2X+YcSaK7F4vg5zly+QkQNQBrgo2CEDuiqYvUjTl+6qAHe2q0N+18UmqBmgvRKoM+fEOSbuUakI34t46oTkI3c3AB+khxAKL0/u2Ly4qrws55NY8zBJjAGMoialrMNNSYPbdPy0Skc/pO1scaKxVvOuV/f50oMDHjvqJglERtFLRF43LwVpCl/k60XxiYrPYq11LF4GuiP2IhCVAikl0mbsXWzPWGbznJiy3EliS5KtPFjfriHKrAKxcFPGAtKxY2zTzy+EzV2U/tBnaaXJIFJorbHWondMJkghGYaWXi/bsGhU12aMOX4CxxM364F9NFp2/8HIajBy4Yj0+WhSJ2PyfE5eGeQpWxebTaXVb/kA/ALcI6xdeswaazOpolSM58VEScw9j1TZd6QKngfSBZe+sKXJsSUGl2JUnowAahRatvQkL50tJzDK1YWJxKjUUUk0w9Dj6j0DXnmLY/F+4lh8KHwGBnRSOBgyycCULctlO6xYrddYlxJkSb5Ia1zQaV0ewloH5IzFhSkIMWNzKQSpW5gz+xqSy0Bs1ln511iLWQFe5uxZHNUaQiFhqIniCr2wgpA+YNC1QOSdMySk28wVddU5k4+cvHFfU+QflHzZETnQZYr2THPnV3PG8hnIZUmeCDGyiqwBtig2mMpY2wHclILMIqDM5oXrHNTFBFqlSwBPJYqvIw6fF3zg8w2GkQc1L5Un5K1pKj9pRcBDfuGPaZY1+mQU6KPe7mimbq0W19QDyfe+ocdn7qtz8Ky7+BKj6CXKVRkmIp8niLCIJA3gktGVxGZALzG4SsGjrMCmIJfGYtM4yEqBTGWLlA7EUpBvQDYSXNqi9MIYRoGdJ4DWkb0jOCsD3FmSbvXIamhc2UGcuBjNNx5KOQZX/+9v/MZG39P/z/HjJ69w1XXZfu7lKaaZ3yxKbFoe41tyNjK9POJ0yFJwWHquZGkcsCwykWVXRI27I+UgshRI6kKOFMHlKLg9ZdFelrVMxjKXRTODp0MSGfInn67x51+chCAAVUEpTU1Zqsqm4yjIG5y9UmtckUktJ6JkcTyzoHhEYlEa4l9ctEKSNv4WvZBKWoQ1bN8UcnZR8vg+n1hIEAoj3Ig1vY5uHUm+ZatKKd7K6oyEHWsbs/YFL4ZRDe+KAsolCGuG35fvZmzq2fjvmNH8QEEE5QnFaV14JumM8/h3XHLDpj1X3PFlferUqclBr/NGJSIqgVckXHINXNI+UqyRI7m9I4rExuiyUtZU49vUidErU6RafyRDVq4itCPaW+ZgKCSJKmlvle/0YHOge2qtJCkenXPi6YhD5yQf+koNN3/FsbfT3gU4s5Uv/7xlN6AUaIryCzvK3kXBVbk2pJgrmA01TbLBpokiUakWTzTf/poen7inxv4zHsgQKySDxCMbNJXLvyRFcpIlfjKwFnBXeTbPokoriyw95neRPbcpO4s88LQSzDq6efx5OWaTa3CTyV87ghGRrhQi9eGFSVeqpPDWe8OI1dXeG604O6nrXkKzaphuKoSQGFMUvIgxkI9622J0KSmfTMrB5TiYxZoPLEogESVgl6WJLFfsidKeMhmQs2q3MsAzBi/JEpU+V8qgdJqt1DFKubtWMYmK+fT9dfYfLrS3ENIlVPIOmhc+aaOvs0BzRJ2Uno82II944qWJVDq1DQt/3EmVKy8d8uaXdzn6oYAwUSA0idD0hUAn2djjLNDNHBUxxsekASepL1/EBNJaVPoZM3ArC1bYIsWfAstagckBWByHDOxSgBmRKMUxM+OAL8VthfSzJcu6SCwlpQvCGkl/aKgvWHpRgt65VVLRmhMTmu5A5FsplwEqx4CZ62kKcFM6oeUAcgTwZWCXgs1yg8NagNs1LJ6zdgr8jLlVmbnz10VAmaXe8y1OpEHLbKhNOvjGizh2XvG7H28ykA7cCF3qmk9XEFHUQ4+wzoiB+8K30W0SUzfDlne/KAeaspiboiTKKBKjiROPIIn58bd1+et7ahw9p0FFYDSR8OgLgUpK9l0WbGYnrHypWZtPRsgvOFxNkMUd67K8cAxunBYXRSJICusAbYpiuXGgv6AFWHrP5Pgquyxjq4IpsqQZHhMjWGqBmje0hgl689wK3c4q7W6EEH6698soY5eXD0rWXxFQun9cyhLYx2RK/mXkCy9ZI4ydnpSixrokT5RNM5gmZ/G8vUpmM7RtEVRmc8RH/O7SXTp54umQdmj4w081OTsfgHLyREhZWIPZ5xQlO+6FThRrxwqvC3QKLZntMTm63WI2uKfkiSdu0msSa7bODfmht3T4lQ/4tCIXEFgrGRrlbMNs+cY6usuFyRjIRxyWFPSZpLKuijBfcaTbQU9ZB8ZMtpi8s0dghEWmrL72fI9ayGuTOWM/M+tcGFKUjn1BOBONhHYU0loN0Z+8r8LFiz4XlhI2zdo02Cuqw4oPUtQ150AvXWGs+cDFz6VYBwDZF2aUwTM5UrB4MYpBqtImr7LUJ5hbhabE4gWgMzmSS5R8q5M4f9QqQgcRH/tMwHs/2mRoPCdPhNtBzhesbSpeJy1fHKvSmy8A8dGZSaWMJiVHpczmplRKm7oqsdFUdMyPvKPLoZM+7/u00+KgSIRkYFzvpkzIGbwowMpOli39TTsSwKmSVMkeM/9biozNM3lSADo7PjbX0e5vr2HxklJ4wSQPxQWw3oVQtpIDZdkya7hsr6ExYdANTzOoKCbqCj9typUqA/a4th4LGkf+YOn9v2X5EWMAKScAcr99RGsXHfVZcsWxeKkWWxWyZBzchUVYrhKMS48ua7m8An/9lRorwwzcDuCeTMfDiWLg0Bo5lVmcJTznsC6T4hp5UliFI1V9WZugkek22Ga0Tlw6qWKMJk40E37C217b4xP311jqKJARGEWEppfLTJsDWoyw9xiTUwI5IHGWYcbozgu3aZ2KzSsPM8ALQf5eWYqOYsKWSLEor10P7PkhHGd2RslTKfdLKx2PdreK0jX0VFNjIo+ZSY9KoEeq+7JlLOu0oPyeKM7buksMLwzuEb0tS8tL+XXud9u0H9OS72SsRlk8n7SqColSsLVJJUhpF7ayHs+ck1rMZ75a4ZF9VUymvWXacykyeTJabyKFXfP9KH3HshW+Pomn7Dlif9mxEtryFnwi3+hL2cIXjxMPbWJedk3It9zc488+64MKQUgsglBoBiJbzrOgc3w5KYHcuuOb/ZZL/BTl0yJFsbFOshnrAFoGevYocNuT5BnqkRR9ljexqYzJgD1aTlsAXIyyefkCECDSTbs6XcHiqiIRCj1Rl5hIMjupEFK6INOOXs8ZoPOvPHbixpeOESZP3x8trLIvwOR2RJaUg0wpbA7gwlEpNn9VeQYz1dxleZIDO3GBZSZNZIySbvD70VOSD3ymwYWO7/a7lm7QuxIUOzaUL8z1pElZpq3D3mswRcHeo97x6AyTfKe6ka57t3+Oe3Tbn2ysJ3zft3S5f1/A0YsSRARCYYxkICQSkUqV9ByYceYel0k2lSklz1k6GeIe04xnen1Y61ZeK5ycz9wVYTNpVADZrXZF0CuyhNQYiRYgTn8+flhFsRKC6ykdhgkr7QTlGfTMpEFhmJt0I8GiON3lyo5/9dEFrbxsZA8vzOSjTsMog5eXe1tqNM6mWtnCJhQlWbKuRMnm6ZkRvZ07JpkkkQlaOmni+xHDxPD7H25y3xNV19smNQh3wXu59i4sSieh7Ajgx8FeZDRLx2cM3KMZzKLK0JakgClbhnkZrWs3c2BXJIkhlhoVa155Y8gPv6vNL/y+zzB2yR+QxMKjjyjVi2efYhTkI3sYp5lwm0qUPOBM2dyKImVuRaq9rc01uBk71zkJpPNSRq3BdTqQyiB/kSEl2YVojCWKDa1OyFIrRnkxulrpYpMes1Mhiy0PEM6sL2nD0sNaQlqHzYsrz64L6gz048y9Hotn0qTwwsssbvNu73XBLbPnRXeOLL1WMsbzY+5+zOMT99UYhh5Uda69tXDzx3VJd79YSWzZJszBXjpJ4/RdijFLIxHK4CZNlZfY2xbzxKVRKGvSQT2uA79ai3nbK/vcdV+fLz2mnG2Iq5aL0fRGVpgMzGuZvPDJ08IrYdOdFkpZS+nm5hhbEJJNu9ytLCw8O970UIpvy+QwrgaySsHy5xKlY1bMe3H3xFjCyLDUTmj3Y+pRjP7ovQZtEprGpGn14h8dmTdoRfHdx6737MOWWb3MZAWw7dgVXWLsMVkiRBncZbZm9HWaxh4BdzbPujS4XSm3/biWceqFuymxq13LZ+6vcfB8xUkT4Upic/aWFBOkxFrWHgW6HQP0i+iT7Aha8vV9RKKQWXJiTeJnvF5cCkWSJEipiYaayzdFfMsdXR7Z79MK0/SrcXo8EooBhW1YJIDWlysqZ+3i4lNWYEWa4SwB20pyMDuZ7vBkRXah29zjzpyccv6gPPEs/xRjeFuXIHKcOhdw84zkdS/rsXePRm9sVGm3apy+GLB1g6utKG+eW/6Px//GOIuXP1CRtl9Pnow2x76gBk83U80HzYyzt7T5hk/j4M5Y3P0sKRI6GXPrGEPCn362yns/3sCKTJo49nba241kW8+fX8viKcOMPL4AxkuyJGdESuBOh3JaU3S1j0+hdb546qxIF3AqY4gSD6kMP/LWHkfOebz3E5ooTkGeypqhcBv2KkZBvkaulCxEhQM56SatSrj5UZkOd5lNXEGWKPR3NrdkJCAfB3cJ/GsCy7WHbi02bUGoWgs2TFWIwhnmF6fR2zdqWoHGdGXe+VK+asoR/noYL5OV+3BjE2jLgWY2q06OfuFi1IHNde4am3Bd/Z0BOmPyskTJZIlzUaQsXBMlIzw/4sgFySfuqdPtelB1e0G6/SBLafnxtrQM5DDyPcefw6jT9OIMXgJ9fh8rRDIpk8sxoGf3NOCU0s00bNRj3npnj89/rcqR81l3gLsnQtAfiQrK4C5ArlLPU+XBpvsnimCTvKXNihTopIyea/1U1QtRqg3PMFKuQh2XJ6X/F6WcQUa1JQmdfWqHW8Nyy3DyvKUXC/SWDR51XzJouUq1/ArKWaYUSIxdOWMkPvohy+wNo8t4SYYIGNHY+Xy9zBIUjLG3KelwU7IIC4Bne8uodItvmZbEZil5rWOGkeGuh+t85cmqGw5eYm8pcImdLMFUmjmyrv4us/g6AebfdsvZPM8ajt0pD7kZS+VnMsVIEqFQicEIRTzUvPb6kNe+rM/pz3kMTdq14iqhiNEMRWb7gXCbwufSaCT5g0sWZZ9VSbKJE+63hJMsJivEKmUzs3Nvhc2HSJWBPZpjKYhhXalQBnWpfqf822FkCaOIVldQaSj01q1bV33V+3x7UX7rMIzT2tpRD3Zk8GYp2h8F+Kh+emEXxTLuIZcZW46BOve+R2SKKUmVErhzrV0KJLNUvEyQynXqSD/m3sd8fvX9EyRGg68K7S1kPo6tbA0WE1SLOCIbrjO+rI6A+8WAPpLJHM1g2rQ2JGNrK21Jpri5KVKaUSZPpYowbliQ7yf8zPe3OXhGc++jEuOLlMXdgY+MSjd5z0oKRpnclkEmCibPmpCVKLF5FlCmoLNi9LzbESIo13iPedsjIyPWOVwjF34pZ5Buw5kYi7EeOqh/ftu2bavqm1+1odvrzB+V0v4wNk6zgeN6s6yZxdgk0WLnhbyEtJxqL9WSjJe5llPv45WB46Ww+c/KkkTZtcyd++CluSbZ3o/KDdA8syz41Q9McP+T9bTP0gflWtK0FFQl+YZSnkxnqpTKZEdrucsd/UUtfLmOXkmZT9/KG6ZLcqfcyOE22yqPRUsvpHGLMn+vLPNsPhdQpjidnYkJtOWRZ3xW+5lGyFI9Mp8iPlo3I0qwp5hsVl6axmy1chVLvtdO6c7IczHq/Y+sYmINkDMQm3R2Yka6iYEkscQG4sTdw9jgeQFnzy9836NPPHdQuy0vJEq6TU6dv5pNVnKJgSxtLHIba/z6yj72mJYSpaTCuEQpM3h+UtKsZTZbeo2Dku5Vr8osXkiRfMOkUrbSae44/XlE4id84FMTfPKrdWwlY27nnghRFFXpNQzOi8uT/H/r3Ma0ePmk5+9lJzdfeke77Uc6fKxL31sjMEKkhU+lGhWhkMYghEb2E972qj7PH/N49x9pwiAuAC4E1mhC1/eT25prNLlw+yZln10JkTOttWmxVSrxjUlrU0rHR6bhW3ZBmpE4rVy8N4ahcebOLoi8IK2YaZ4BP07A8yzaup0rtFYWMChh8JWTKHEiiBNLHLst/JKEvLm0PMtjzXnM5UkxlkuucVJKo3XLrJSDejSpI8rAHtHeJn8/T7/nQC+VwGYaXMVIlfCVRwPe/7k6gySdgi+yuysyy2tOxNhnG1tyX6yAbE028wUX3ZQWbKlKj9ISnB7rce09osGlqxeXqUQx+aPCCENiNIFn+P43dXnwaZ8vPVnHihSN6RcxVjC0ApEKaTsGcqe1S7o8lRwKB1aZuiuUMpmmdPxsKkNkLl3Kx2ltgCnE2mNV1KoXrJ4kYwyePgYBeNnM8w3TLYQQmCQiikKi2COMXDE9ALHzDLM68ZEM55idUtafI7Ogx2xBMQYeMbIkF+ztpI8p6e9iK7vM+5ZyLbhHarylswW1jugNBb/0xxMcOxtgtQKh1mQtPUG6LUhRErvuaIjyc1izvOdPX0SQj2eLR5iKcvFVacxabh2KNYxujMSIjMUlQiiE0cgw4ZKtMT/3Ay0e/LcBnUEKblN8coNiaNMvawpf3OL0v8upCFddmC4AFsjmk9jsGKUglusB3Rnia7K/a7CT1T4xenDyBFNKtrFx4I5iGMaCYQSDSNC1Ai/tbdDbtwqXIAj7dFqrdAcNev2AbIK+NeVQQ4xKlHEwlz4s46BeA/YM2CWdnxdapRteZQydZSyFKQHdFgGlNCPBZjnIlCm44wR+52MNnjxQKTzv7J7WnHjCltrRCnvwhRh6LcKLoqIC16PqdM2ZK3viJecqQ/uIN54/T9lbpPahcM8do5dZPG1xExppLDdcEfET39biv3x4kjCRQEyuJY0gkYphAkIVTO7lMqVIz8sU0Jk3bo3rtCeVJnldyjpAdzUq6w2CSleA7Liuj/F0065MlrjHMIFeCK2hZL5n2FKvMtusuS3KJ7Z+F6hJovb92OgDaO203TBUFN0fWRmoTesPypAvM/j4gMXy1TnmQki7FthlNheFHBlhcFFIlFFwjyZysrtWMbqS8OWHA973sQatvucyOOKFak5KTQ1rAjlG5nwIxouuxk/JOrp8vXxZOeEzprlHgV2qT5HFoE6TOSxZaa1QmMRihE2TQYokNjQrhh98R4/Hnwu46yEFtWypKIRygmJgKEoCc7Sl0lSCMmlwZbLkjgNxVudiRVGPMg50J99tkQi0awewZsdjXKmUj03+noEkEbRDyXzfEnaX+KdvuIPXvfKlLK220Z1BjUazyqOHGnzisw1efX3EzrkQRC0fX5CfLuFOw8iiK4rHDMjjoM4YPHMACjCXGH1Md2fb4pX1t8w19wuAu6y7U2kidcyBE5rf/UiTI0teuu+9A7a7j7H3OrIktwnTC31tgdXY2IP0gLxQwLleYidzDbKy1UKuZDo8G2M/mtIvBna6rbqtNSWwS4xQJMJtwS0jw57phB9/Z4cTFzSHzwqsHluGpJumNcR90dwfl+lIt5RaMzZXoqTLs8rC9HPma1aWjCkRRQZ8kbI66wWcRYybA7x8GAVFU4WRMTdevsLtl1/glqsSqkHAhskBet/RBrNTNR5+dobf+qs9PHmgz7/41oSa7zMYqnWrCvOEBozIj/z1egDP2XstsIsdAjInpVyDYlI2NyNjE+QYuGUWTMqiFNYLYi60BL/0R00+cXcN62nXhiaKXkshREl7v1Bwuc5yWjoO4zJ7TQZzLOJcr9ph3EobGZ2QNRakcsRm7G0F0sriZ9IB25WlWhIjEUIihMYklhiLJw1ve1Wf1lDy07+huLgqIBB5AggA6RGbtF5DZjI1kymOvZVJ5Yh0c0pyT1xkjC5yL1wK9z2y47I20BwHu8hn0o+n78vHWAuBUm71umI64ifeEXP9rgkqG2s0ZhVJpNE1X9KsBxemq+KLr3vJ5Ot9KXn2SMC2OUXgm9yTHtWe46AuOyejAM8H41AGdgnwclymlNm6LE0MUpmSm1IG92jW0unumBDDpx+o8+VHa053K5U7JrlzkoK7XFS1viW43gkpjvtI/DF2Il7wNp6mL2cy14C95LKU7MGyHs+ki7DZGAeJscp1A0mJtK6HU2nL624e8OaX9/jzz0nCWICOM/pNVxG9BuT5Y8beafBp0wNh06aHLMvpZMoo0ItCrJLsKx1PUglTBJyF9MvXmezYSzeLZrIu2LKhQXu1wqmFKtsnK19siuqFxAxQv/ee3+aKa25e1UqsVrz4u8LeCo16Fd9PN6AabxLOslblmpGRpETJEZFr0+1FYqfUmTNe211uYsgYu5ytzAPKDNyZ352l4iMSmfCp+6r8X38wwfELQdHEkN81QgoCCZV0kL2beZLtd1/s3FAM5sleZ/sEZQFpNqtPUmyUVZplng9IkmvGYYzMgZGjx7voclqn4ymPB9JiKVleHcsAKt7PyMgay3Qz5spLY05fVBw+qTFWUPTbFbSZDfLJ4om1S1N6ra6h2XGHyP27IzmAdS7k8f9w9D2Rk4YU7px4WlCvSJo1D2MEM3O7qVQn/838haMP79n7CrdHT6Ni8XzDVEMwmNY0ammhTenz5geLtdKjvCdi2SER5ef5z+1oJlTa0kkodPaI5i5Ndco0eBncMmfy2LG3n3B6QfG+j9c5eDSAeqa3y/dR9h4phR1nihEXqMQ86UkdCabXYe5CodgMCWsTPWR624yVRJRyDxmbUwSfJm8ILhJBslx5KCXCKBJhXUBtjUvlDw1X7In4/rd3ePRZnxMLoggwSnvHZkxeVBKKQoYYm0sRZa0rxEpf29wDLyRJlvyR+XObmU/Fcc2el96z2UfJSwjyw4jAOSndfoI1lvML4NUMYei+hAa47torCYIqzSowPE2taqh4Ji9FlXJMO8v1gPsCwB/72QiYSzKlcFTS0WQlSzB7P2frXI+XwZ353THLbclv/XmTe56spFWCWTKnXDHoXBNvRJbYEcbMA+PsAs9AXiKrYikt2K0INHnRW05OYwK8HHgWKeu0X9OkNdZkMqRwU6S0qVwpdLgx6dbe6R7vRigS3PFOepZXXT/kX353m//8x5Os9LJAM0VQ5qbgMtvDUnBpScGddffg5IvKgr400MxUT9HCVjyOjHcu/8yOEY0tjJ7cm8+88MQSRpZ2LyaMBI3JLey65Cr6/X5xjW7auInLL7/8rkDO/+r2zYqJWkS14nb8zTR4YetlQLBFn2Tpd9ZIDVHIjJHy1pFZe6NVgCPvj9yLn+eOiUhQwjG3UgkDYfn9j9f5o4816EReWuCeATtzT9zsvnLFYB5gSsY0+NiyX1omx4NNsIi/DdUviPKSB15askfvolRGW058jA8KKoLQ0WlYslRL7vR4Q8MPv6PDj7ytQ9XGYBIwsbvbGEzkHq0hsTA0MLQQGkFsITaC2Li5+rEVxet0c6gk21TLpnczfs/moFMksWw5BV8U/BVbjtv851ECg9DQ6iZ0BpoDRy7+6p49l901N7exAPjGTZt58K5f7NW888dnpgz1WkwlSPB9t71HpqNVGei5vh6r1R7LOhbgH/WzsyaF3PLLpYj7uS4BPU/clJm7ZAdmz602PH/U5y/vqtGO0smYlGVJEVj6I+xdFCiVC8uyoT7jgdC4jBmXJ5lF+HeBul3nMS+dzZix1IS8ti6l3HkvKXff2xzM49uiuG58YxVxrGhoy3e+rsuVlw2RSQy2DPLEgd4mYA1mDOSRccCOUiDHhjGQF0DPwbsO0I0dA7odTejY0nt5/2XK3v3Q0h0YeqHkwPHF49/34/9Xb/PmzYVEAdhz9beivQqnj9xHfOoRlPadiZ5n1ShJlFHnoyxD5Lj2zirbRtwTU5I9axM8GaiFKC4U998kI+yde90yRnkJzxzz+YlfnWLf4QDrpQ23crTeJGNvLwsSReF5r+eYlKpL1zhHI8DG6cv89gLB2LogL7WsFe+NOSeMpu2zKieneTPGTjveS76420JEOnlirEvfW4swKi16sojQct1lEe/56VV++P8W7DuSHqBMQENR7I3GIgmNkw0msxGluxgVbnBnNgZO2XR7EzJ/HKQtvPRMa5dli9PcRf14dst6ObP8UwZ6ayEME2572V7e8s2vpNsb8Ke/9/OjAK9Up9FejVrNZ2ZiiJCW3kATRookrUMYBeF4kZTNO3bG/e41+jttRRsBtzBpssek5aCZ9k5yhhdZUCkT929knTpeQsdKfu/jNZ56LiDR6wSVaV+cEuBRtgTHmokpg92un9gp6e6yvTUKZ1FcCH8bfY+AvRRIllKc5a77LLkjUkBngWVmH0pRSBYpZK7dhRCIzBvHkgiV1n0YdGy44aohP/bWLj/zXzw6cXqgTPpVJKkQJgd5DLlNaHBFaiYLOvO0fdrEnr7OrENXs1LEOpl1mGdARTZDvigDyXaSyJJliYEwht5Q0usLtF9j66ZZWu1efjxzgGut0To44gfqqFHJHkwLz5sgjFSuLPNlW46yeJmBy353fs+KqLAlJi/r+gz0o0DPfW8xKk0ci6epeC+mZwTv+0Sdj3y5zlC5xoXRbKWTKtncbC8fKpTt0jAmTygCylH5sbaGooD6KLMXdScvjHD7Ys9LVXNyJNikxPajboogc1DS6s+cxWWaRElZMX0trSWxElKXxY9j3vnaHvtPat738QbdCAfy8gc0tgRyQZxC0AW3Fi/9ykYWbO56N0V+rHOg52Pe7IiDktezSNJCXvfHVelCyI5qmEAoQ6Y2edSbwdGKHxzpe9FagNcntvP+j3zki77X/OCX7t3yc1Vzkte91ENJlRrqZsQxKXfajDJxCeCZDBlh9TEXJZMi48wtyuBOSgAvwK1UQicUvO8zdf7vP5pgfsVz6M2CyrJzUgosVV4Sa/OKwfWG+qzH3mVWXlMRN47lF6XvgrFH2DtduzNbcLROJZUymYtgrZv+OjadVhrp5IdIXRfhWF4YmRKQRBjnsoDK5UuCZdNMzL//gRZYeP+nG3Qi0gpDMq+uxOrKMXkKVJd8cp9dZcyerpSZqnKJn6K73pW0iLxOXFI4LlmdS9a9USYXJV2Dcb0muO3GVe64eY4dO+0H5y9+6otXXPXdawEOcGJ+imqt+tmzF2be4sfh9YdOemzdaKlVEpQUMFbNJ5UZaU4YtQbLHnkZ2JmsMfnvud81pYvFjAJaJKk8ManXnQK+YvnkZ2v88h82ubCiU2oe9boz10SmtmB5BESZvQsZVU6QlILJMdYel9hl8Lvf/bv7KeMFRKMsX2oDIy2bzZb8VHeLzPtOt+wzaW230+OOxTFOh1srsSYrxHKsnhgJbgo4cWjZPJXw73+wzVJb8sHPNKCSZjnLIM/YPD3WBkFEqoulQGPR2b9qSzZsyuZ5VlMUQ4CkEPkwoGw1zVhbSyeRVXrsPSWoBoLNc5qrtm5kz9zEUzt3+Z8lHD2Qqvzi7k9/gNtesufU1hl7y3Td3litQC0AX1t8XeyW4OWtYm7gTp65zJ5n0mUk3V7KbObVgqYorlLlFHyp7DUH96hjogLDkbOaX3nfBE8eCFxfZWmmYB5YSqe/PUG+v07WfqZT0I/uGjHWQpbdFRSbYhXPHZtk78s025vtryu+VgAAMO5JREFU75nN4xvf6mWtHTlSuVj0IoxmkVPttLaEd229fbksYvTCG2sEzxaa0mpkjWVi0lANLA8+47G8IkuarVzTuvZiNGSl4462R1wi6/7QSIEZ2e+NZjkzS7RMIhmZZxnMii+oBpIoabDYmvzMk08t/s6Nt//IyGfS4x/yJdfuRgjB+TNHkLaNp0sTW7MJUirJ35PryA7KtSfpAVlfohTSRGSsnb/nwD2qvVPf2zccPaf5+fdMcvfjFQgyt0SyNmPpIvdyUke9AGtnTJ0BKAeGoCh7HdPguQpZj9n/HrdRWTLaPVVo82JQffa6LFecBi+8cJGNnRCj7+Xa3GThq0SkHojpW17z0gG/+BMt/sN7Jjh2zgc/5cRy4Lnm80sSUr9agJczuCuhdYPk0hZIYYstB2266gnyNsdioFC+aaBj8dRajBPo9BJaPcXO6la3O8nYbQ3AX/HKO1FShQ/c22JlfoXAt/hesZekl221V/Kzx4upoAD2eMZzjTU4or1N+vOUscUouKVwAxVPzGv+4+9N8JG7aoQi7QgW4/LEMXcWWK4ppKLEnGnGTYwBfV2GW+OYiDFGG/XAy/9OXmZaTt5QStNngKX4vRw4ZR88BXf+32Q/N0W9vtvRLAsmnW3odkRw7znpQvqeTbt4VBqMKhJjqeiEd31Tn8TAf/idCU7OB0XQCeSTf8Ygbq3ECkGUBooG0DinJbFpzAN52l6kYBc2I5jCoZICtC12fhO4TK6OLcMIBIaJqTleeedrwjiJ/3aAT01NU6k0/u2uXduvIjr5Kk2Hip8QBDGBjvMtrzNAlhl7VIvaNY9lPZ7VmRR6vEjJZwAXJQZXIkFpw8kFzc/89gQf+1KNUKZbsIn1a01AjEyoGh2/ZtexBceX+FHAjwB2TI8Xv/P/b+/L4yyp6nu/55za7tp7z3TP0rMvMAM4DKsIiiwxEAVCDD6NeSb64tO4xKck6OMFzaKYRCOJRk3QBD+fKGERRSCCKPsii+zLMMMwOzPT0z293aWqzjnvj3NO1am6t3tmYIYBk/P53O57q27VrVv3W7/6nu9vk8kzktuwrXXPeXpkbnkW1Ba4LTlRJYRne+ukCgtJJEUhqdbAaXKsyo2vaKLQ+riiIQxxDLgOx0Vn1eEw4JIrOrB52MuixmSjE6EfTH9RXSrO6OVQNVgcAghjUPT1YeYsaiuDH214iHIcOar6XPKdCFTse7FYwpy5Q3fOnTt48fjk5L4BXihU8MzjP5vwvMI6z3VOcUnMCn6MwI/guaaun5L1sm2i7Z9WgT6xa5mJJixaYoHcOHg0qIk10WSEgzCOHaMOPvf1Kq7/WRGhIcltgU1nnFi2C4fNLzMnO89PTYAV7B8iMxPFqx62k8fAMJuQrOGps8upoSlQE04C2UJNhC7wI43CIglIGxlRSAlIBqKtM+cSDjgufHsdMQf+9B868fKoqxurzjAItASinIWCKnrCNdBZQktkqqqazZJdpJTFIcox7QmCWArN3SUYc3ixWFj3wxtvm7jgnWftG+BmxNHERzo73OM8RMeUCg3Vu53FCS2xazWrk21Oujq09CD1T0RyACcp7yawowhFi+WmTCB2Cf7lxhKuvVVb7rZ8OwU50SGsieWmlhyI7KSsJanBAi4xJxposdhtoKkt4oED3Y4Fb7c8nYEpCNhpbK2lJvLWW4Pd6OWCqrSyBOSaqljTPMXNmanfCgcCv3NWHetecnH5dyvKycPk9F9ISG1slEWXgiAmGuBQoGWAyuTPfUVhAd58Y0pUryGPAH5MMNmU6CwQULf45OjY5Ee6O8ttD6MtwI84+gy89MxVvFKYK2sjT6NUnEJnRXHiOFa3jATUZjIDqlOa0uXm6FL6ItMJJYxzJ9XB85abanDDIbjtvgBX31ZEk5og9TbA1mWCjfU2HksHWVDbaWjZOJNsZJtBciYYv83zFM9ZHn5A4CbZ6MJWjo6MBZfWSqOLJ+C2uLjMWHGpgZ4CP/mvXfrEOI4ES6RBQiSkkPAg8btn1vDwcw5uvb+ofmI67beyUGrEOoUPneqMGFaOhX2RJ1e6fdVLgANTsTrhlbKAX2BYvGSR3LU34h98/1ltj2JaC941+BbU67Wrr7rpoWWN2mTpHSfV4TOBRYMCvV0ScUgRc4YoZjp4R5UskDq4B5bM06qFa5ATkZtc8gy4mSNAHOAn9wS4+Ioqnn3JU4SaspmttyUBJlW3NKhZxnrnQDotr06XZdWSrIy1H36dtjDI7Sn3Bm2xYTt6ci3/tKqRqCuwrLXEtFZcaMgJENXdQ0oQMys00elUURjAAQXHqkURvvLJcXyGATffU1TYbUtXbIADSVAPslKhyGxirmquIxl1sRPBgVCgtyvCwqEIviPw9hNDDAzOmzrtlLVXe24Rn/14+9M340/y6S//sLB3vPbcf/zoF/PnD9ThsxqOXlHD2uVNnHpUiPl9Ar5HEUcuYu6qCDXBVCQbUiuuEpGtCaZFT1LObZaltIS4wI/vLuCzX6/i6Rc9rXXnXPB2rDdhAFUTmYACHpFppSqSJjYk7U9Iqn+3W5bq4SSlOBS6jrqV2cOI9T6rPBvNtjS315n25LYGzzJd5NJeoGkXizSi0+5sQfV/RtI+RWn9mKx/IZ/Tmv7nmeeM5oxN8joG8yWe2ujikq9X8ZO7imnsQ8bBlqOQyd3Vil7LgxsazCICRAgaRyj4EYZmNXHqUQ2sWRbimOUcLnUxt5ehc+C3NhNWWeF0fqA+HYYdzDAuOvso7BoZxwMPPYlnN0+Bx0U8uqGOa24PceS8JuYPNnHxe8dx9JKmip+MPTXDtRu1IK+gpMpJZkJJJIgFbjjAj+/R4N5gwD2z5YYGnJuZWNohrzJDUbIauJVnmjHdluxH0tl+qha1WomcND7taMu3MwtIEndiZ/G0SIkaG5KlVEUYpQE2L7fDbvM0hVo0R/HyhJ4AScAdIEBCjlULI/z1R8chJXBTYsln+LKZ2aPOikhAbr6UAGQEiCZoGOJNSyfw6fdNYGg2xxHzJIo+hZAe6o0ShscH4MQnwqGdM57jGQG+YP6sZm1q/MNnHjdwzZ7J50o7xlxISTERFfHAOo4Hnw+xbY+Hr318D45aEINzJ72NJyG2yU0z1cDbqCUK5MprCYfg5vsCXPIPVTzzkgG3VkdAkXHDW5aBJOBO75yJ3p0BtlXGIicVIrkYcnJgjr60AzCxn5DsDboV3a07SNQEO/7ErMlo5Olrc2GkakrK0RWvljBVX01Eoc3FpcXJoalLcjxUxaiAmpgRpZELASDkWL0wwuUfG4eQwC33FZBx/kgoA0fzX9Csy4McCcgJj3DM0gl89eNjOHkVEAsPccRQb6rQg+3DLqbEyqlq7H64o3egOdNppjOtJHJUHL9m4UMf/cDJ4+9YMwaEEZgXwCsU4JZLQLGKB57uwV9e1YlQyGTCmXLB/A+flQZtcBvLLR2CWx4I8JmvVfHMi1bmc4sM6FhAV4hkQBunTptEBhu8sACMJEOrNQ4F6XJYoDdfsNVaH1gsig1ow6Hz10Pq7ratunFz6+QHpBZabZR6N5P3yNb/ajJKs63EJdFZ+VQvSxMmhGAQIXDkggh/8/Fx/MZJDTDOdXYCB8CR1r2wH+0ue3NCFX0JmMDn3j+J41c42DtRxehYBRNTJdQbBfhejLufcxCXTx9v0uUPvbBpSmCGMaMF7+7qA+AP7xptXNg7cNIdAXvS7fBVWz0AaHAHYyhjz9QkhBxDrJuSSot7y0Q5yeneFu828SaSEfz8YR+f+koVz2+2LHc7OkII2gVTGcudjxA0QG4f2y3TO08b4OdnmyT3N92WZN+zHwhPFJR2v7tlobO0RCf22kXgbdGBmIlpTl2xa6sklt5y58PycEpV65BAQOoJaHKQNqRCgSOGInz1T8bwxzFwx8MBOJDOKRNpMydLmQwHg28QFZ0oXRBJ0FFkmKyVMD5VRMwV91F3/iZOP+FNUeROXDhvdmH4pZeDGc/vjAAnJMC9j29Cd/+R245YyV5cvWjL8sbUJFwnjdKtuASBG6BRLyIKi+CSag+UpiKWVkogkkQFM6GkhIMwBe7bfunjk3/XgXWbvDYTl7wkmAKdIGe9kVVMsg1bZZaWIEtVMoC1rLDCb67MWBsQk3Tqka7Mz6dS7ObPeEpFLO9lQnfszJ826yVSx2Ja6k3RERiQE3sdAYRS+YW2oESKJCPI0BIVwG1qpCALcglQKbBsfoR//PQYPvEV4PYHA3CJNpycWNREnSxC1E/t6vMrqAeHlTHVaGDXaBWTNS89hYSjEXVhwYrjXiz1LN4mGuuwcGD5jACfkaIAAGMMD997z6YuP/zQBacvQ3cxRiWQ6C5JzO4EjhwElvZWsPXlAeydLKPe9BHFrpINtYVQR5iTCK3YEukAtz+kwb3Fg2wrBVqz8CRDhypqorl3wrsNzzZWHO3zK1u07LxMaFGXdli0sZupQUha37c/IxNU1eaCyETb6T8pHbHpoZ2/mYI5+zy14IZ+ZFujkCwtMeutpGW1nKl1TYJl8yL8/afG8LbjG6BcAJGhJSqfU82EReYbOgQIiETZkej2BAaKEvO6AmzcOhvPv9SFl4dLGBkvYKLmY9ceD3Uch92j7oeefeLRTZQy7Gs4+3rDiavmImpOwfGKOwZ6nbufX/fcWzZvq6GrwlAqUHRWHCwcZNi+20FPRwPFQgh4EaDjTQArUcJ4KzUtYR7H5hGG+x8PcNm3Kli3yYP08l5Km46kjhxzbSbUhGCaylR2eKhRddB2GWzwG5DDuhDaYncGGeUARi4kJbu8ZeKZUhCz1A7Oao1daUNVzP8kGQK6kL6V8qbTaigsdQUqz1KFxrLEklMCkEhgxVCEKz41hj//tsCDjwXYvIcAnrnN6N9NChhPONOSboFJFF2Jsi/RUwae21hEo+GiuypRKXF0Vhpo8ApYccXdC5aetGNyqgHiF/Z5XvdpwQHA9Uu45/4H17t+5Yojj1yFoi/QWWboqrjorDhwXaAZMTRCB1HMEHOqJybpT6a4t1ZPCAfzOdbtcPGFb3Tg43/Tiec3+9OAO0dTqEVNzMQSFrihs40s622rITOWY4MNfJIBdstFYF0B+8u3DxTwphinUVIypd2s6EKRozRpTmdq2VOPpzXplNO/zlt125KrjHyaUJm8JV8+P8I/fHovLv3oGJbOaao0fGPFcxNNqkHuUAmPSQSuhOcCUSQwOiGwZ5xiz7iDkb0EQwuOQHdX4YoNL9y/vlLeN7iB/bDgZvT3D6Fcrj605qj6DaI5et6ul7egXGIoFVRCBIHOy+MpLUktt3HH6yThAsf67S6+8M0qrvtZEQ3OtIcyLwO24eBIqYltvdOSx7b73ebbqc6d9am10hNMA/pk5E15slwibzOmbWuSA7NtuiVan6f/CWBVv4K93HbxJxZbU2ioiMKUg1s0hpjMH5HKh6CQmo8b9QWgSoqETFz5yptPEksuCUAjgVldHO97Rw2+K/H5b3Rgw3ZfZQaBarCbqBRtqEja4wkAoligVueglKAZSnR2L0d3/6obhhYueShuTOwvbPfPggPA8iUDYHJs0+mnHf+JeYM9N/Z2l1H0gaIv4bnao2YnCmj1xHgtTa1u1+PYsM3BZd+s4rrbi2iAqY5P7RKFW2gKScENY7l1CKwFYptzt7XWyUO25d2kjVVOW9+lK/J0JUNv9kdBaYdo89pCdotK0lIcyFhoezOZA3uWh6cSoeXit2qtZBrPau6ddl021pvpC0MXEhIUQjoQwkHcZPCFxIWn1/HnHx7DojlNlSEsdUEhySGlUBlAubsP50AYS9RDgclajEh4EKR649DS4z6xfcfUJrcwePABDgCzBwbx5BOPbj7mmKOfmjunD54Tq4QIxzRfzbYZSSICaay6nPkxXhpm+PNvduDa20powAHc6YCdd+SkLZiN8uFklJK8LNjeeiecGmix4OnEkWT4eAvFzu1nurFfrCXv1LEUmLwlbzvJ1J8irQshUwULpJV6IAt02Y6eANn3wtbNKWQbkEvpqI4SgimQRwyBlHj3mTVc9uExDPU1gWZsFRUSiIVEJIFY6upYuhxbFEuEoUCtFqKzsxerVx/91CMPPbx5zuDsA4Hs/lMUM/r7+9HXP3j5y9s3LhLR3t8FH4XnqjJvrsOTFtoOM33hVQsRQWLc95SLf7q+gmtuL+tkhRwdSarsULSoJsm6Vmpi8+2MC94CY8bBg9R6GyRmUtTyAM1Y8pmATKbfbmZ8Jy+M6CRzr9tZee3zSWiInaCckRutfSRgziUt20nNMBabiixd0fdHZXkpqACE7tKn5ixC3ekEgSSq/oqMKFyH492n1wEh8Y3rq/jV80CTE4AycELRFAwRJ4i5KsUWxhJuBDiMo6e7C/Pnz7969epVl2/duu1A4XpgFhwAZg/Mx0MP/GKsr3/+H5SL/j2+R+G5HJ4bw3W5ejgxXDeC40Tw3BARjfBvtwQ47+I+XH17FSFzAccDqOpNmVaesoOp2gfnEGhqAis7B1ZtDehckgTksnUyaYM5N4nMW+Z2PJzYf6bj4wdxpPKhxbP1kWRojsy+N41AzMahGA+nUTbyVlzYFjzn2cx6Q43lzk44uS4Nx7mDmLsIIw80dvDu05v48eXD+P3fHEMJDSBqQvIIDS5R4wRNrgr5hLHqWCwlg+P69yxZNPQHP7319rEFC4YOPcAB4MQ3n4mOilNbe+JZYXdXEQU/UmltbgzPjfQjRLHQQExDXHVTAZd8qxu7JwuIqA8wX4Pbg+q2kAN5i1ueJsiyu5+lFjsXW2Jb69TwtyomaLM8b61bdcHk6aHCdjvJMKUk6YFkZUErg93Wx9EqGWa4OEiW0rRVU8y+2tAdU/vQuO+loidCOODCARcu4thDFHuQsYfuEsEX/2gMv3/uGEqoA8064jjCVAzUYopmTNCICSYbEkGxgt8+/9yQS6d2zm+e/YrO5QFTFDP6BxZCSvFL0Vx90sj22wuMpsAu+A0U/TpeGo5x471FfPFfu7B3KgBcG8g52cL+RaeJcDLAVZ7KbE5lWhBTtgA5nzWf0JMcQs09Is/JM6MtRdmXJT+Qy0DxjkxJZVOuwVokdbSmtNcbC269X9oUJqEyttRoJ0cg68YnxvtJMhcMyc0PTNpC6m1Nv7K60UnVzpBwcOGgWojw+T+cgO9I3HgPx/o9FE0QjFMXrq5/Qgse1q5dW1+2dNEvKX1FdhjAqwB4UKiAxxOfm7PoNBnX1/1JY/zpwHMjFIMmysUaHnqe4/Pf6cSdT1bQlAXA83R/HF26xTaV9n12Bj3O5OZlrXcK4tZ+Oraqk35shptbz9tp2i3vzfOXVzPyQMiejDavstvZ10DKtS2wJq55JJzdPBeAlaicpz8WF0dWZTEhuOqAzS2FWIFgel/CHIu6EJXhccE4B+cOSn6Ev/jQFM46uYnPX8nxwLNAnZQxSSmoFDj2qKHG+eee+veMuf+3o1p8xaf4lV8aAJhTEbu33HGZXxz4crEyGJaCOqqlKTz0vMSffqsbtz7cg6bsALwymBvAczwEDkPBoSgwAp8RVbEo4Ra2Qk2Rsd5IaYdddSqTdmYpKjYwbeADsi24WxSWPNj3AeZXS1kysnaOo2QpRo66SBvpJH2f7a5HNs+x7Xts2VADNuXi9mfbE1lDWxSUEslQUHAdeBfHDqJI8fAw9NAIAzSaBdQaJQBFnLFG4vI/GsFJK4fB65MYr3MsGBoMF86f9eXrfnLvZR3V4ozRgvsar9iCJztgjZCyOV+qBDvCPbvlF759E6PX3dOHx17sACn6cBwHHiPwifJWmaIuqh40EEmgIQgi7ZGbDiIZbo1csBRaeXSGl8Ne3t6aw/7olkMg0yxvd6BAu1bUM42sm11ZvLbvSyx+GnBlLHlGLbFfGyAKqLqBGqzEOIIMyEkbV76x5IaiaCpDkmhFqEAuAuS5O5cMgquWhFIar7apUKyKR0WxgzD0sHZ5E1/7+Dj+484GfvzgkJg1u/cLQ3MHvrJ550j4avF5UOZIWzZ8F33d/pE337X98d/77K9YjXfAK7jwHYKASvhUakdlGj3BdfH0UBDUOUFNKLC3vSdrWqKK1qc9LR2iUrgcbdUz9b5N0X5il0mzmmWZB7X/k+z6ZB1JSqqlDafs95tybDoljRDdXCot18as9UkqnPkM/Zwx/T/TrCv10DKafq+0mwZg2sqYOpHtqv9my+jly2CnJfeyzXdNjRq7R5Idxy+TBsHm4jQTTs4ZYv3gnCZpjCZl0XT0cBiH50YoB03UoyncveFdfMfEiqN9Z/LpD1100avG5qu24AAwJVZibmf5BQTzPnLRO3v/6eZf/IpSSPhMxRc45schZgqlBP2QAyRWIj9NbrUyNVVtLKGxuC3udouOwPJotqUjANopKvvy2hwq1WS6IZOzZV4jw9sBdaqSOaaZq+cnj8SiJMi68E38uLEtQlePSgrsWNn5yN1dkgmkvUwfBBdUWejIQRxT1chKkuTuanJEXcbRDB1M1QroGThbvO2EVR95ZsfSF2ZVXj4o5/CgAHzF0hNx9yPrw/PPOuXKJ57cXDx6YddX17+0EyWfqdZ8JlnWEktiDrBY0ZI6N/qsRBqMk+Ph5gSaErv6RCWF9JHGMdiUBdZ7p1VHLAaSsJQ8XZGYHuGHGPVZuVBTB6AFcAbEJOEu1qQ9oRxZ7i0g01Q3pDQkkwNqURL7K6fVEdQaAXV34hrMcczQiByEoYOY00SFSS24gOdwUCLhBnOwd7Lr/ywYOuPKNwXP8lLniQfl3B0UgAPAW45dghc37eB//IFzNiyc/8jElf9+W6U+OYZSQDXAdQg31MmMhQRrAmGsGxdxqbKpwTWYdAkxsARtNo5arLeZp+aqp1ILqC0aeIaHp3vPaOHTfuNDh+p2TE1O8z4glfSIUUuQkwY1uIFURkysuJkkWtsJbWlTV3/2023LnWlekPBs6CoLFPW6h1rDAFxtZyoFOEwgcpuoVnvQN+/tEx19J26oT77MS51HHLRzedAADgCVcgG7Rmo3nv224z4Kyf/+Jzff3j01OQ7PYSnAqdKZhVBRiGNNIOQhXN5ExGM10aQMIEJ7NQkgWaYvYt4y21TEvMfQIQPsRC4iWWCnv1huwml/zsE8SQc4DAUxqlzCWiwjbWRiY92T47UmhjL5vso9zwixpEOZfE5GH5f2PkhyPEg6X8u0tDVRnBqQoFGIyCEI4zJGJzxMNRyV8IxsI2CCGNVqHxbOPW2kZ/Zxn+TR3hsdt+Ognr+DCvC+nk4AwOjo2PcuPOcUp7OIy//z1jv6xsbH4TAKSgkchuQ5IQSLFtTgBLvgsEms28xwy70lhNwFXA9JHwuib28ZDi0zHku75G7GT6SXg7ReBC1KygxIbr2H4DVFvpxpXe4iSEGtEJvh2lIze2PV9XJdQVnV8JG2Dk4SiUemVwlMCRCmI0VdL4JEjJvu9fHCZgcxYWDSQ0B9AARMFwF2HNOdT6BU7sXsBafs7p978p82o+h7xdKBu+L3NQ4qwM3o6urA3rHx777trSfTkZHhL953/4N9hACuw+C5FL5LEPgUXRXg6GUSqxZzVKtN7BiOcGkQ4Qc/ryIUWraQzJpJZVTyFh3bltMTWbHdhFTvaDp85i15y/qMOX2NhsW3MxTGmpub58R+rtdJ6HhwGECrtdRMe3TlViGRTDJVDDnJWPD0/BgVhsNhEQQi/ODnRVz67V5s3dmJUjnAUXMpjlkYoaPiouAT+C6B5xI4jgQlBPMXrdy9dOWJl3Aef7dYqh6S0/aqHD0zjc6OKu66684ru7sqFw/NnzPiuwTFgKFcZOioMPR2An1dMbhg2DlSwZ6RDszq8nDpH07hjDVTQD3tzWgPOzMn+8iGxKYG2bLexqrnnrdQlAxuk728boa5+PKxKtnyE5qCZMJfs5wbuWXZchG6pmEufDZ7HKrcnleMcfujHv7iX3qwdU8HvM4iZncw+FRgz1iMkbEQeyc4JmoSU3WgVpfo6BwYIU754vvvu/vKQrFyyM7VIQM4AJx7zjmYnKpfNX/+3I8tWjg0wahEuUDQWRboKHOUCjFch0NKgog7qDc8zO8n+MA5U+jvCZWWCKWqGF6tUpxkMqHMV6nKp6TZjh4Djjy3JgTTUpR2Nto4LV7TQdpM9HJXnQ3y1mO2Utc0qFsSIGxAJ0DXCQkiLysBBAKuK7BzhOA7N5Xw0q4A8Dz4lMKBRMSBqYbE+BTHxFSMqXqMejNGd++ciZ7+wY9xXr/qbaf/xiE9bYeEotijGDjC80pX+y6NiwH5N9HYHHR3AIHHUQg4XCb05IaAcwoiKZYu4pjbH2PXqFRtMzQA7fBYUxoiKxdOk3Bsr0MO8AYZrwSv9qTvIOK9nVx5wLs38SWQaS9X2J5HQ3dUB+Ik/cw0mpKa0uhSyxnLnnx5wHE5tu6iWP+iDyEdEMaSpmyqzbY6iijmCKMYixYsafT2zf6g61Wvazabr8oNvz/jkFpwADj//AsQRw1ej2dft3hB7/uOXtXXmNs3inIhgsdUJhAlqkY4iAquV5NGu7wASUrf5XMvlecvF1GY073th0FPdsI5E3zkfjyffovDMeyyy+o1SVz2xhrnK5BlKmXlykcIQSFy6+xJjNremI60VbdJYJhoSLz4cohi59xGodzzvqNXDl5Xr9f5ub913iE/F4cc4ADwrvN+Gyes3M6f3/Te65cucd9f7emvTdSUu8JxVIIEYxyJbRCwGgqpk2ZXh3XsiqykTcoasnEoLdWskNl18rQtHdnHd5MHusE0o8WxBCTno93xZrbJLm17ODL3MHmQmVJtumd8Auok1ptod7uplkDTi4Zo6Ve5kCGlRFMADU4QcrVPzwWWLJtXcytd7//gH5x7/Y9+sZW/810XvLITdYDjkFMUM1au+R8Y275Vzj35Pdf88Jt3OF5xxz85bENHKWigXGzCcSJVvk0CRQ/o6xKJBqgaSakuuo5d5pjIbEyHBnc7Lp7n26ncSPZ5/88wEOuFrViY17J1i+lHfi5gns+4qcxuNM2xmtBWwDh5FF0h1mspAEJNjZOUoqQBilYhTgJwIUCpoSpUpbIJYPcoRa1JYSSZKBYYFQRMApWA4KgVc8ZWLpv7v//wdO+aT/zldbji0g8eIpS1jtcM4ADQMXgxbvnJPKxcUvn+3vGKWw66v1Ifv7tn595d6O8kCHyGMGRYMhDigtObuO0JldTqUAKPqpgW9UAS35KhJ7nMnpbcTBsU+9C9Zxrmlp4PaSczbrG/H2bdAnJWPUO5DmxPWkzKgt2UezAVaEGhO57ZO9CJ3gQgXHVF5pRBMA6AIGoSXH+7j/U7XMB3QCRB2a9hVqmJnu4BvPWEo/Ysml34VC1i37/qzonXFNzAawxwAHjHue9R507uvgpwnZtv7/jSt7//n33vfevLeOsxDIJSSBHCYeas0qSBq0tVEr7q12lHCqb5mObHmbGLA8yDtAI/N/LOw3ZQtfXmgzXZbLkW91PhSQ5D5t5JrPiVHMiVX0GCJ95GohRaqu4EdkIN0XEk3NAVEEScAcQFcXz4hOGEFWP4s/dwlGet3d0/+Ft/JkR01ZK5h0bn3td4zQGenqg+bNpe+87qI88lZ57W/cVGdHPfzuHt6Ko2UC42kiB6RqkKudWRiR6VcJ2Uf0+bTAy0oSO2k4e0pR12koF+azZrjGj/tn4tE08KadmHPfZJzXPzAZBWYNtJG2pltsudZsHJi3w0YssFaIFdWF9NckXdhFTnlyUeTYAQBhqraEDOGaQwXjUXRYeh24uxuG8QR68+bXfvvNMuAaLvEHJ4wA0cRoADwNBgETKqX/nh3z0+3rCOfXVy+NauRvQihKBwHAIwBz4jKDkSBUcicCQ8BjgsjZNuuV3n+TbQasFJtmuxPfIRcy0W3A5iIkgCnDIm3Ab6Pix6clFKKIrQ9j1WfElycUrre1o5prmPlNK6EjO3GX2R6PWKsyNzRZn8VkGVdRcizcWkVCDiLiKuwmEhGaoewdplfTj3jNNGZfHEz4yOOf/W3em9ZnhqNw4rwAGAuAXEcfS9oSVvGtkqNi2ulga+vHvvj92nNjoAPFRcoORKFFwJz5GKomh6kvHoyVZu3CITQoM7DwSzHyvgKANu3Vcyu1G6ga1U5KP59g/l1r82x24WZDtGm2U25Wr9Luq5BjEAmr9sDchNGIABsUxjTwjUxF4wqygnAIcJBJ6PpfM4SqUY551xbDS3m1385pPWbCiXnZs87/CCG3gdABwAHMcVU3ufubF/wQVe2Xm49uxk+I1frX+KFKlDewoCZS8FtwI4Say3BMCF1BJXdr95Dk7tsNscJUg2lel+IVWXXprESptoO1hJBMlmuUlcunw6etJGGUyOO5NY0O6uBNnizGrtXZrbqYn/bgNyYrnzhSTgnIBrsBu/gyPUMs4JhA5/LfpNnPYmCFk6Qc6ds+KP33PW8n99cv3O8KRjlx1uWAF4nQAcAEqdR0DGD4Vg/d+rdi++Y/GCwu94dM9fju7ahlLAtGJC4DpI4ssBxROjmCDSgUJm5KU3SkgrndEjCVZCSkvND5tYZFNCASa8NLczm6q8kslmmxtE5nskF6ps81xm5h9ANi7Ffm08mWriKNFu8ioEEHOKMNb9MwFQJuEyithRMmAjZKg3gaC4HIuGOv7fLjl0jVeYteVnD28Nz3v7kYcUKwcyXjcABwDiHAcA9b+44vp1wexjv3Tm4Ave8HD5c+s3bGKTUyFcR0Wjea5u5Qcg4gRSCkSx1nA1uDIxKpRkJEMg98PLrAU3+Ey81rC8g7Y0KFOwZ5bbX6qNCW+nULZMKGFZ5bbAzsbjGApj7yHTq8ccjqFNQqkjUqZdMKDvUOAUUUxQazDEXOVRukwidiU8AcRUQsgAXT3LeQPdf7X8CHzJ9fbwwaUHP9z11Y59l8g/DOMXt1yND7/nHfIjH7rojhuu/Xe/GZPjdw7vdRgJ4bkSBZ+h4DMUCw48h6IRSkzWJcI4VTworIReSiwXf5bbJuCVSFPBcvDLTlSNtEgsKVI/1+tMrLuSLfVznYBs3puE9NqhvVTqZOXWkF/zXrOtnYBMqGzx1hqAm1IQmW4bmlgn+9QJCA5TDwCYqDsY3stQa1DEPPV0EkrR013GgmXHNZevfuffLFh6wqXnveP9ctnR7z7csGk7DpJqe2jG5MQEtu/hKBfIF9dvePGkW26+idYbjZPqU2NOVzVApcRQLcZ4YmMdDzwLMBAUXMC1JqOObtKaJD1rTVdIZfFNYzCepHClgLaz7FnuYmEszbZnTF9ASaNXq1HsDI1gTSY9swCbNoe1G79azWBN01cqsz4AmoqCUqqqBVxQcK6eS12Ix1wMZh+urgzsOqp4auBzEBLj/qcKeHJdCZUiUAwoygWOWf2dse/795962hli9pyh+wmLLpmaLKNcKb/Sn/iQj9cVRcmPciWJE77kB9f8CGvWrKnU61PfHtm97d0yHqbVQg1HLqxjLNqLGx6uosx8Vd3W8mYTDU6HpVQF0DxTSnCoTHLBVZAQgMykzbZ2kNBF5K2YaksyzI+ZJpjmc9IX9rxB5uiKRU+sji6ZMhAWReHC1CZRTQlinnJpInRRX6jtDTenRMJxBCqFBlx/DBt2l/HQOg/LB2LMmV3FwgXzxJKlc6+tVkr/a8eOHRODQ2sONzz2a7yuAW6Pi37nXdi4cdOE5wUf2zO8Y/32zY+t6ijsPG925Zco+HVwUUJEssqBucUri6nS5YySwoXizhEkYqGi3oTxn5hOA4avUtXznUiLzshWAOcDm/Zn2B+Tj+VNapyb2if5h23NiW7XCIAJgghArAvvRBHVnYrV93eY+qI0Q1tSkLtOhFqjiRd3NHH8UYswtKD7hmOPW/vU3LmDX6vXGxNz5s4/3HDY7/GGATgALFw4BADDE2ObL1285Lyh5vjjKDFynverBwFueq1n3fQG3K6jHkZijLkKDGo0gTACmjFJ+DsTihIksUZEggqrzp8emcwYa5nUjpVMho01kW1JeLbmBJkJaMaqW3KnTVd0drrpT282oIShGTKEEUGtSRFztcp1tJCp72p22TZVy4RAgqNa9HDO2Sfg9LevvOHtxy/95PDeqU3dPf2HGwIHPN5QADej0jEfPHp5U9C7+jOU8u+dfNKqT1y0bfupTz+5DlF9DA51MrKZwwDPIVC1zCkcfY/mMsb2HTGmmhRU68oOlYnWbiBJCCCITIoTpT1R2+uBxKIsmV46MgfenNI43YQoA27rP2My4c8OE3AcrrprEAkUCXw/xo49FewZI8l58F0kmfjGYSMlEMUEPAY8rweze9fggncecdcz2/q+dvIJy58YbUabli9941hte7whAQ4AzJ0NAOullOvXHIWnnlx358A5p6z81uNPPrfk3gcfZ+NTEaRLEHjKavseRTFgCHyGwCco+MDgrAisPI6fP+Zh994iOgOJItPNT2EUEKswjjTSoQ43zevuhpMDSe2/1MK3uRBgKzrtSU1SESB5b1q6zVhvhwl4bpw8SkGI3eMhHnyuiBde8kAhEXgMvk/BfeXodx0BSNVFwWEcIfcxa85aPmtg6frAn/qjE5eftePEtVh3oHUWX2/jDQtwM/QPsG54eM86zvnZ1bI/580nH3vtlf9xV3Xk5S0lIWpwHILAYygEDJUiQbkg0FEWGOht4rxTxzCrK8KXrh4ARwnCV/s1df0YUVF1og3/nm6oSadJ81KeUDt6a7oox2T7tt8zq32bvqOMqqQRz43hexHKhQYKwQS+flMBV97UgWW9wGBXhEpRoBQzSMFAiPIlSClQKgUYnNM7Ve0/e7zRxIXVnnnbCGWb3ujANuMND3Azent7IKXY1N/ft2XXyOSR7z1fnuhS8c8vvPBCvHP7xu44HK+UAolqKUZHmaOrwlHwOQLPxdnHTuKW+0bx6Es+HOrCIUJJjEJC0PZ9KJOgvRxYzUjfrzys1KIzSsGwtXCrpav2JtnWP1FRkAI9LSaq+iG5TgzfDVEu1vDslhi3PVJGs+mjEQqMjAuEkUAcq/xX1/Xgl7onFi1fMDI0tMjxPPmhStfCB6jTMSYEBGO/HuAGXqOUtddq6GZIYmpyfHTlksGf9nRVl/3dP35/8e+996K/On7t2qdnz+p9bGBWsTGrl4KxGqQUaDQpls0VWDKrDjQaqMcCdd0QSQhk9L98J2ET05JEKGqqIaQEFzKJkUn6nybHaTtsZNKV3Oyb5+8SeSeO5c2khqY4HL4XolRsYMMugmc3+/AcCSEkGhFHjADULTe6uvseW7V6zdNnnn3hX2146trFnl9d5hfm/bRRq40SQn6twA38GllweywamgMoulzbunULGHO+zBj78lGrl7BqpfCNWn1s2WPPbDxl0NnLYhFj+4iLiMfo7RzHmHBR5wEqJiglY5XTjghmqDIWiucToi4KYYK/ICF1aUVqeD0UmBkDXKacOWa7WKj/VGffsORCao05UXcHktwBPDcGYyF2jISIY4p5vRy86WDhYIDT31zihcqKe3y3vK7RqH2EMnDPD3DKOX8rO/vm1Q7373Uox6/X5bofY/3mEVDmdYX10b/es+UOb6DyKP/Z486a4b302ImpDfjn6xiG61XM7/HRXxQoBQSOk60z7jCiVBkXCDyaqDOUEoSRQL3JEUYKjK5RbzyKwGMIPIrABwJPwncBz1G0IYwJphoUYaQ+x3ckAl8i8AQCX8JzdQUCnbKnLDdHwQ/RWZlCX9du1JpT+MEds9DfuxgjE84jN/zCe/T8ty5m//N9bwk7O7s+C4SjhBxYn8k3+vgvB/D8uPZH9yDm5NRVC2pnbdmz7cKfPRAu3zoc4/l1mzC7FIFHDTSakYpkdBkopWBUTdKKPkGxwFAKGIoBg+8ThKHA85tCNEOOwAcKHkUhoAh8ioLvoBhQFHygGEgUA4GiL1AIOBpNgqc3umiGQOBTlAKgVBAoFwRKBQHf4yomWwhIEYNRCQkXxaKDwf4a5g3NQT0OcO+z/c/H8cJr33wkuTWMcNe8pacd7lN8WMd/eYCb8chzo4AkZwdec/GOXcPi8n/8oThhRdfC/r6eP3t23WaUCg62bNup7gAEqBQIeqouOqsOOsouOisUPR0S/d013PjLBp5cF6C3RNBRIigXqboICupCKBcUeKsljs5KhO6OKTy2PsSNd3ehv0LQVXXQWWXoqkh0VjgqhTrKxRCUSIRyFirVWfCcEIXKEKYmR77UXXxx44IjL6LU66fUcTYA+CkhA4f7lL4uxq8lB38l49gVXQDwU/N6y7adKAR+54aXtt8vwFAusOjYY1b+yVhNngkIuJTjkYcfBUMd5ZKHni6CgZ4IiwabeBvfhbue6AfljmoAQBkcKuA6EtyVkKr6DiiJUfQbYHQUNz7IsHk3UC244JKBMg+uK9HVVcDS5atRKqj5wFTdvy0KG18NvNDtmb0KhfKcuwRv7nVLbzwv42sx/hvg04x5c2YBwF4APwaATVt2AMBzUw0+C5BC8gjrnn8BUT2G57kIfIDSRtQ3582XLWM7zz3tBC+qOB66y0AxMI4mBwWfolRQ/LoUcHRXm/D8vXjT0Z3uUUf0/2TdUw9eRqjvMuaCMYGgUEL/nFUIPAYQ0Grs7QSwsdr53xZ6f8Z/U5SDOEZ23AlKyKz1mzd23HA3ZMX1UC0AgUfguRSBz+B7yovqexIFj6OjHMH1x3Hrr7pItbBgTELsvOhdJx/ur/JrM/4/5yG/gFMWPGgAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTc6MTU6MjQrMDA6MDAyUfVdAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE3OjE1OjI0KzAwOjAwQwxN4QAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 52316443
{'hecke_orbit_code': 40532396679889425, 'n': 1, 'trace_an': 5}
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id: 52316444
{'hecke_orbit_code': 40532396679889425, 'n': 2, 'trace_an': 2}
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id: 52316445
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