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mf_newforms • Show schema
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{'Nk2': 2028, 'analytic_conductor': 4.0484153824789155, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [507, 3, [170, 340], [3, 2]], 'cm_discs': [], 'conrey_index': 22, 'conrey_indexes': [22, 484], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 0, 3, 0, 1]], [5, [0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014673420943867, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 0], [1, 1, 13, 3, 1, 3, 0], [1, 1, 13, 5, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '507.2.e.e', 'level': 507, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'minimal_twist': '39.2.b.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\zeta_{12}^{2}q^{2}+\\zeta_{12}q^{3}+(-1+\\zeta_{12}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '507.2.e', 'trace_display': [0, 2, 0, 0], 'trace_hash': 1914720887379295860, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.043', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.651', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '78.101', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, -1, 0], [0, 1, 0, 0], [-1, 1, 0, 0], [0, 0, 0, 0], [0, 0, -1, 1], [0, 0, 2, -2], [0, 0, 0, -1], [-1, 1, 0, 0], [0, 0, 0, 0], [0, 0, -2, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [6, 0, 0, 0], [0, 0, 0, 0], [0, 5, 0, 0], [-6, 6, 0, 0], [0, 0, 0, 1], [0, 0, 2, -2], [0, 0, 0, 0], [0, 0, 0, -2], [-6, 6, 0, 0], [0, 0, 0, 0], [0, 0, -1, 0], [-5, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, -2, 0], [0, -6, 0, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, -3, 3], [0, 0, -2, 2], [0, 0, 0, 6], [0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 4, 0], [6, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0], [0, 6, 0, 0], [-4, 4, 0, 0], [0, 0, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -2], [-5, 5, 0, 0], [0, -5, 0, 0], [0, 0, 5, 0], [-6, 0, 0, 0], [0, 0, 0, 0], [6, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [6, -6, 0, 0], [0, 0, 0, -2], [0, 0, 6, -6], [0, 0, -6, 6], [0, 0, 0, 0], [2, -2, 0, 0], [0, 6, 0, 0], [0, 0, -2, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-6, 0, 0, 0], [0, 0, 6, 0], [0, -6, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 2, -2], [0, 0, -1, 1], [0, 0, 0, 0], [12, -12, 0, 0], [0, -5, 0, 0], [0, 0, -2, 0], [12, 0, 0, 0], [0, 0, 0, 0], [-8, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, 0], [12, -12, 0, 0], [0, 0, 0, -2], [0, 0, -2, 2], [0, 0, 0, 0], [0, 0, 0, 4], [6, -6, 0, 0], [0, 6, 0, 0], [0, 0, -4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -2, 0], [0, 6, 0, 0], [0, 0, 0, 0], [0, 0, 0, 3], [0, 0, -8, 8], [0, 0, 5, -5], [0, 0, 0, 2], [5, -5, 0, 0]], 'ap': [[0, 0, -1, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 0, 2, -2], [0, 0, -2, 0], [0, 0, 0, 0], [-6, 6, 0, 0], [0, 0, 2, -2], [0, 0, 0, 0], [0, -6, 0, 0], [0, 0, 0, -2], [0, 0, 4, 0], [0, 0, 4, 0], [-4, 4, 0, 0], [0, 0, 0, -2], [6, 0, 0, 0], [0, 0, -6, 6], [2, -2, 0, 0], [0, 0, 6, 0], [0, 0, 2, -2], [0, 0, 0, 0], [-8, 0, 0, 0], [0, 0, 0, -2], [0, 0, -4, 0], [0, 0, -8, 8], [0, 6, 0, 0], [-8, 0, 0, 0], [0, -12, 0, 0], [0, 0, 0, 4], [6, -6, 0, 0], [0, -8, 0, 0], [-12, 0, 0, 0], [0, 0, 12, -12], [4, -4, 0, 0], [0, 0, 8, -8], [0, 0, 0, -6], [14, 0, 0, 0], [0, 0, -2, 2], [0, 0, 10, 0], [-18, 18, 0, 0], [0, -12, 0, 0], [10, 0, 0, 0], [-24, 24, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [16, -16, 0, 0], [0, 20, 0, 0], [0, 0, 2, 0], [0, 0, -10, 10], [0, 0, 0, 4], [6, 0, 0, 0], [0, 0, 0, -6], [0, 0, -8, 8], [-12, 12, 0, 0], [0, 18, 0, 0], [0, 24, 0, 0], [-6, 6, 0, 0], [0, 0, 6, 0], [-10, 10, 0, 0], [0, 0, 0, -4], [0, 4, 0, 0], [0, 0, -16, 16], [0, 0, 0, 6], [0, 0, 0, 0], [10, 0, 0, 0], [0, 0, 0, 8], [0, 0, 2, -2], [14, 0, 0, 0], [-36, 36, 0, 0], [0, 0, -4, 0], [0, 0, -20, 0], [0, 0, 0, -10], [0, 16, 0, 0], [-22, 22, 0, 0], [0, 0, -10, 0], [0, 0, 2, -2], [18, 0, 0, 0], [0, 0, 20, -20], [0, 0, 4, 0], [0, 0, 16, -16], [0, 12, 0, 0], [0, 0, 0, -20], [0, 0, 14, 0], [34, -34, 0, 0], [0, 8, 0, 0], [-36, 0, 0, 0], [0, 0, -4, 4], [0, 0, 16, 0], [0, 0, -8, 8], [0, 0, 0, 10], [-12, 0, 0, 0], [0, 0, -6, 0], [0, 0, 22, -22], [0, -12, 0, 0], [0, 0, 0, -6], [-24, 24, 0, 0], [0, 0, 24, 0], [18, 0, 0, 0], [0, 4, 0, 0], [0, 0, 0, -4], [20, 0, 0, 0], [0, 0, 8, 0], [-12, 12, 0, 0], [0, -6, 0, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [0, 0, -6, 0], [0, 0, 0, -4], [24, 0, 0, 0], [0, -10, 0, 0], [-32, 32, 0, 0], [0, 0, 12, 0], [0, 0, -4, 4], [0, 0, 0, -18], [0, 0, -22, 22], [-6, 6, 0, 0], [0, 0, -6, 6], [0, -24, 0, 0], [0, -6, 0, 0], [-12, 12, 0, 0], [0, 0, -12, 0], [0, -46, 0, 0], [6, 0, 0, 0], [0, 0, 18, -18], [0, 0, -26, 0], [42, 0, 0, 0], [0, 0, 4, -4], [24, -24, 0, 0], [-16, 0, 0, 0], [0, 0, 0, 20], [0, 0, -22, 0], [0, 0, -2, 0], [0, 32, 0, 0], [0, -22, 0, 0], [0, 0, 28, -28], [0, 0, -16, 0], [0, 0, -8, 8], [0, 0, 6, -6], [-42, 42, 0, 0], [0, 30, 0, 0], [0, 0, 0, -22], [0, 0, -8, 0], [-40, 40, 0, 0], [0, 0, 0, -14], [0, -2, 0, 0], [0, 0, -2, 2], [0, 0, 0, 12], [-42, 0, 0, 0], [4, 0, 0, 0], [0, 0, 0, 18], [0, 0, 28, -28], [0, 18, 0, 0], [20, 0, 0, 0], [0, -48, 0, 0], [0, -44, 0, 0], [24, 0, 0, 0], [32, -32, 0, 0], [0, 0, -12, 12], [-38, 0, 0, 0], [0, 0, 0, 0], [0, 0, 30, 0], [42, -42, 0, 0], [0, 0, 0, 6], [12, -12, 0, 0], [0, 0, -28, 0], [0, 0, 0, 30], [0, -32, 0, 0], [-38, 38, 0, 0]], 'char_orbit_index': 5, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 18014673420943867, 'hecke_ring_character_values': [[170, [1, 0, 0, 0]], [340, [-1, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 3, 1, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 0, 1, 1], [0, 1, 0, 0], [0, 0, 2, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 1, 0], [0, 1, 0, 1], [0, 2, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '507.2.e.e', 'level': 507, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2028, 'analytic_conductor': 4.0484153824789155, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [507, 3, [170, 340], [3, 2]], 'conrey_index': 22, 'cusp_dim': 94, 'dim': 50, 'eis_dim': 56, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 274911461883, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6, 6], 'label': '507.2.e', 'level': 507, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'mf_dim': 150, 'mf_new_dim': 50, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 25, 'sturm_bound': 121, 'trace_bound': 5, 'trace_display': [2, 1, 8, -1], 'traces': [50, 2, 1, -24, 8, 0, -1, -12, -25, 10, -6, -20, 0, 8, -2, -22, -2, -4, 0, 2, 10, 4, 2, 12, 50, 0, -2, -18, 8, 12, -10, 14, -2, -4, -2, -24, 12, 32, 0, -20, 10, -12, 23, 16, -4, -4, 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mf_twists_nf • Show schema
Hide schema
-
id: 358335
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '39.2.b.a', 'target_level': 39, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 358336
{'conductor': 39, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '117.2.b.a', 'target_level': 117, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 358337
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '507.2.a.f', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 358338
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '507.2.a.f', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 358339
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '507.2.e.e', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 358340
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '507.2.e.e', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 358341
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '507.2.e.e', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 358342
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '507.2.e.e', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 358343
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '507.2.j.a', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 358344
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '507.2.j.a', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 358345
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '507.2.j.c', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 358346
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '507.2.j.c', 'target_level': 507, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 358347
{'conductor': 52, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '624.2.c.e', 'target_level': 624, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 358348
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '975.2.b.d', 'target_level': 975, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 358349
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '975.2.h.f', 'target_level': 975, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '65.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 358350
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '975.2.h.f', 'target_level': 975, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '65.t', 'twisting_char_orbit': 20, 'weight': 2}
-
id: 358351
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1521.2.a.l', 'target_level': 1521, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 358352
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1521.2.a.l', 'target_level': 1521, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 358353
{'conductor': 156, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1872.2.c.e', 'target_level': 1872, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '156.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 358354
{'conductor': 91, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1911.2.c.d', 'target_level': 1911, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '91.bc', 'twisting_char_orbit': 29, 'weight': 2}
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id: 358355
{'conductor': 104, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2496.2.c.d', 'target_level': 2496, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '104.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 358356
{'conductor': 104, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2496.2.c.k', 'target_level': 2496, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '104.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 358357
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '8112.2.a.bv', 'target_level': 8112, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 358358
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.e.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '8112.2.a.bv', 'target_level': 8112, 'twist_class_label': '39.2.b.a', 'twist_class_level': 39, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 980150
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 18014673420943867, 'p': 2}
-
id: 980151
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 18014673420943867, 'p': 3}
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id: 980152
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014673420943867, 'p': 5}
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id: 980153
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 18014673420943867, 'p': 7}
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id: 980154
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 18014673420943867, 'p': 11}
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id: 980155
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014673420943867, 'p': 13}
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id: 980156
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 18014673420943867, 'p': 17}
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id: 980157
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 18014673420943867, 'p': 19}
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id: 980158
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014673420943867, 'p': 23}
-
id: 980159
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 18014673420943867, 'p': 29}
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id: 980160
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 18014673420943867, 'p': 31}
-
id: 980161
{'charpoly_factorization': [[[2304, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 18014673420943867, 'p': 37}
-
id: 980162
{'charpoly_factorization': [[[2304, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 18014673420943867, 'p': 41}
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id: 980163
{'charpoly_factorization': [[[16, 4, 1], 2]], 'hecke_orbit_code': 18014673420943867, 'p': 43}
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id: 980164
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 18014673420943867, 'p': 47}
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id: 980165
{'charpoly_factorization': [[[-6, 1], 4]], 'hecke_orbit_code': 18014673420943867, 'p': 53}
-
id: 980166
{'charpoly_factorization': [[[11664, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 18014673420943867, 'p': 59}
-
id: 980167
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 18014673420943867, 'p': 61}
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id: 980168
{'charpoly_factorization': [[[11664, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 18014673420943867, 'p': 67}
-
id: 980169
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 18014673420943867, 'p': 71}
-
id: 980170
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014673420943867, 'p': 73}
-
id: 980171
{'charpoly_factorization': [[[8, 1], 4]], 'hecke_orbit_code': 18014673420943867, 'p': 79}
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id: 980172
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 18014673420943867, 'p': 83}
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id: 980173
{'charpoly_factorization': [[[2304, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 18014673420943867, 'p': 89}
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id: 980174
{'charpoly_factorization': [[[36864, 0, 192, 0, 1], 1]], 'hecke_orbit_code': 18014673420943867, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 5, 'label': '507.2.e.e', 'level': 507, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHEQwW7oPJhgAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7P13vGxZXeaPv1fYe1c8+dyc+nbf25lONE1schBkAAExjzOm0XGCk4zzNYyKODo4OjoqIogRBQSR1DSpE013387h5pzviZVrh7V+f6ydqs5pdBznhzhTL4oK5/Y5VXs/+1nP5/mEJfh/t7+324c+fjdSio1PHDw5aRNrt8x6+J5k37EOtz9nRjz/msbiXQ8nbJldmr3l6jP2sYNbqfiSjbM9GvVEGLlnFeyF2S0vAdgMrAB9IcTX+qt93d701/oDfL3cDh8/D3CZMclGizC9fsiHP/KX7Nlyll2bl6gon6OnPxIt25t/pt9d/kYtbHTmvM/GGUHUG9BZjf0zZxbee+qMQCSD7zk10Q3PXVhg8yycHIRMNBJvEB//61//g/0/8/Tpj4pf+9nvfdeFM8f+ohI/tq+7ekBZAhBCKuldAI5VG1u+1ofk6+L2/6jhWW7PHL6EFZUpzx67vbf8OErI6Mzy5I90BvLVUljCKObhhx+lUV3hii0tVjqKUxerYIbEUcx003LglM+1lyWcuySZnohp1gOOnNMkJmKuITi7GHHdbsOhU5KZCYPv+1QqmmOXJCtd2LshZs+Oaa68+jlYPLSCXqg/u//Y4N2JTbyXv/g6rti19S7scEXIDV/rQ/YP8vb/AJ7eVlYWsPDaRn14+bHjHfOzv/7n5ttfO3FZd7jhx7rtI9QrPsdPnafdXiSMNMs9SWJ9Kp6lGVgutmMOnRuwZabCZFWhRMTchM+e7YreAIQccuaSZhDC2UWBwqc/jLh8u2XjdBeJpF4L2TTf4cCJGZZWqtQrCYGO6A0Mra4ijGOmpueoN7ag9JBr91zGYwcWf+m2veePbdvzXTIUk3LLvD4CfGaiOfu1PqT/IG7/1wP8mSfuQQpx+9Jq+Jonjyy+7erLLl057Pq89yMHef51Kyxc8ji50GPrrKIWwNyk4cxygJIWKQybpxJOXqxQr1n2HRnSGwoqPiyuwmVzmlo1YONczO3XtXn62AT79gueORnzgmsTtswa6nXB9o0rLKwoKgH0h5ZHDszSqEqOXvTZND1ACvBVwvklxUQ9RpKwZUPEwmKDvjW87IY6J5evodJIePFzJg9cWJ7/UBjLO4Tgrte++qVf60P8Nb39XwfwTqdFtRJMn7+w8Iu/+4d3+IdOPZN8/xsrNy+vTNzyp5+6wMb5E7zihjqfe2iSvlnl1Tdr7nmswu5tfbp9j3PLimEkCHTM1dsSNkwPWepIHjs6QRQL9mwZcLGjuH53n0PHPdoDTTiEW6/ucvB0jWY1ZP8ZzW17JWE0pD3QPHZCcuPOhFbH4/KtIWEkeeKYYLFTYdMUXLm9g68lYQTnlz06w5grNnt86THLK27pMuxP8qmv9HjpLavcsHsbDx7awmK/t+8dr1h8eNPcDWpm2+vCWmPmJ5I4XJ6emvhan4L/v97+0QeZR4+dwPe0+NDH7+Gltw6V6N3xW0eO6b0PPXruxadPnlHnL7Y5fPI0GxtNtszUefTILLffuMzNV07wmQcbPHSkx85NlnOXNJvnLb2zlshahpHH6QXJhpkhQlj2bB3yzDFN4PfZvcnnwoLHVFNw29URjx82PHG0SS/qsGNjyHO8Cc4uwmOHquzdEbN9Fo5eFFSDCITi0BmNJULakG1zlkYVlAjxlEerD9vmFSfOCW65ssNUrc5nnxQ0JyJecG2Th5+Gex4+yrZtnVvsUN/yzP7jnL3/LxO/se3qVlI5+J4/+fMfesk1NpnbdjvWxHZ+w/av9Sn6P3r7Rwnw9so5pFRyMGhXPvTHPzt85Rt/8j8kSfKdP/07x6Of+NZDV1XERKWzEtDwYdCTPHIIvvNVXa67vMG5pQp37gv4phevcsPuGT7/qM/l23psnGxw4lzMrVeGHDjtM1mPAMlTJ2psnjYsrWjuezrhvsNw/Q7L1dskyx3BPc9IXn5txGRdsdJpcPq8ZrVtUV7Id71uhZMXmqx2BDftHXD95Qt4THFhcY7TC3D1TkM/lBy/EDBV0+w/I9m7DTodyd4di+zaXOHzD/mcWOrz1tsNFxen2H8CWsOEGy8PEabKgWM9nj56QB25dPyljenebb/yA7Vbk+Qmbzgc/uEb3/Zjv/LEU4eD6emJQRzHZteOf3zOzD8qiRIbgxRCJvHKZGfpyPMHQ/meg4ePxfc/eHjmsWfON588GTM1t8hPfcsQm2zh8UNVHjsUcehCn9e8oMWLrqrz+MFJ7noiZHKmy1teKHnyQIN7nupz1e6YrdNVsH2EFnhSc+S8Zr6Z0BpaGpUhJy8lPH06oaGmePVzu6ysNnjgGcu1uwRXbE9IYsGpBY8kMVyxVXDNZREPPC1Y7vZ41S2Sav0cB080OHF+ilog6PQ8Zidijp738fUQJRXWaLZtXOaaHYq7H51i37GIN93eYkN9krsfqfDo8R633bDC65/rc+TkHI8dNDx+NKInu/zkt19iy+Q8h07NstLf0K5P7VrauetyHRn5fc+5bvf989PNVbBGCPm1PpV/b7d/NAx+/sIi588v7rz30VNbd25KPrTF/+TE6dOr9RMnIBpoGlXYPGl5/MQU9+2/wJufv8K2lqbV1bT7AR/6fJ2ZRpvr92gGYZ17n7J89L4eb31xi0qlwSOHPTbPdJlp+py+qGn3E3q9PvUNHpHRTNcVm6ckL7m2z6OHY7QUBH5MUIvZd0xRb3hsnQ0ZxrBlBm7cu0CrpxnGU0RG8+QJyeOHdhCoCoGfoCeH9Icw0eyzC2h3fU5fSpiZ7DE30eCOB3yePBXy5pd22TrZ5L7HKzxxfMDVu1f41pclHDoxxdEzgjOXYs63Et7w0jbXbq+y/3idhRXBiXMXmifOnWi2hg8ytXnrX/zXXYNWqOK3Wb33zLC/eCKo/uNwYb7uAW6tBdj76Tu+tDnB+527vnzwis995R713h85zWxznpmJGbp9TW+g6Q8NuwbwB3dMs2lmiefv0fQGswwjj35Y44FnQsJohev3QODXePCA4iN3t7h25yovvr7O4dNNFlYHVP2YuSnDni2K80uK5Zak3UloVIcEvsfWuZDjFzy07PPmF2oePuhx1Y5VJifbfPKRGu1+wOxEnUcO+Vx9WYeZCY8TlwRb5jwqlYipSoKnJVIK9u2fZqLeo+oPuXybwpdV7n3CUqut8taXQsOb5AsP+Rw40+f6K5e5cTecPreR/cc8TpyLePqM5ZbrVvjuV0WcubSJC0sVFlZguRXT7sPTZ/tMdh+or5y4s67mX3MXgTjc6dkfsNaeAw5+vWdRv24B3moto7W+4uCBp56zutr9N0ePHbv9ri8/zTPH2ywPAn73E3X+4ze32DxXoT9U9Ic+g6FHf2jpnqvyyQfqvOCaJW7cq4AprPV47MgU7z/Y5a0vb/P8qyJmJ+vs2z/FZx8YsGl2wJU7BPMTmqPnPHqDiG4PWl2B1pYtswkoiZQh/Z7k/EoFTJX5iZDLt/S474mAITFveVFEEtY4ckYyN6XZMiMwJmZhRdMeDOlHPp2uz7bZITPNAUpJtBZEkeboGZib6nHb9TGbpzSHTk5w7wE4t9zhlus7fMtLE06f28ijBwMOnox59FhCJDq84dYBg/4sZy7WuLAkWViJWGrFnFmWqOqAf/WWFRp+wMkj+9Ry7+yVQfPaL7b7/l2eV/nvK6urj8dxfHhu9uuT0dXX+gP8XW6ri6eoBN7Oc6cP/rfjR/f/9L333r9z/8GjDMMQJRWDoeSpkz5bN7Z54dURUeQTJRpjFdYKNIZTF3xOLBp2bmqzcQpqQYWKp1FoHjuquLA6oNkMuWaXYe/WgE63wpkFga8jIqs4t+JxbsHQDgVaazZMxlxcMZw47zPVkAg089MRyx3LdTsHSFnj/FKNPVsCDp0MOL1ouXrnkIvLkij26IeKvdsihLB0epINkzFz00Pmp0M8Ca2eIghgz1bBykqDzz9c5fC5AdPTLV52c5/b9gYcPTXPYwd9nj4Wc2whpDHZ4p+/tss1OyY4eX6SUxc8zi0kXFyKOLUkOLRgedOLLvI9r4vp9qa5uDzBxSXLoSPnePrAiZ3tbvSOwTDZMT8/d/+/+MF/ufrr//3dX+tT/798+7paf3qtwyhdneu1T/+b8yf3XXdpsffmA4dOsdwKWG7DUiticTXm4orl+IpgZrbFj3/zIs/bU+f4uRlOXahx5pLi3KWEUxciji0YdK3LW1/c5Q23+py6MMP+4wFHzhj2n4pI5IBt8yEvuM6wY15y6kKd0xcly23DIDZICVMNmJuIWW5r2l3FVDNEC81UM6ESRDywP+CyjYa5qZjzi1U8ZTi7ZJifsly2KeQr+wN8XzHTAKUiZuuw0hUsdQXzTcN0M0JKGIaK5bbm5EXNqYWYHRsHPP+6mK1zGpIaB47XOHrG8szJhJNLQ177whW+6cVDqmqKE+enOHFOc+5SwrnFiFMLlkMLludes8CPvr3Nhokpzi5McnGxwqUVj8VVuLQ05OLSgC3bLqNSm/roy26/9cnLL9vy37vdwcJN1+36WkPhb337umFws/w7eOpUM+k9/j+XLz70L1aXTlzdaS8i8DEoEiOxVmCNQWCRFk5cqLDviOCKrS2u3mEAD1BIqdFKEijLpUWPA2cUA9Pnyh1tdm8xzE1pNk75+CJgqRVw+oLg+HnBEyfgxPmQhZUhrU7CIPKo+D5zDcuW+QghEvpDzc6NEZ6yREYQJT5LbUl/6OFrgbCGuUnD7ETCcjug3RcMYo+VnmDjhGGpZTh1UVHxfDZOw9a5kA0zA+ZnhmycGbJ1g2X7RsVV2zyqqs7xU02+8pTPI4dinjgZkagOr39Rize/wFJVMxw6Ocnxc5qzlxIupOA+smi55ZoF/vO3r7BtdoJzlya5tFJhqeWx3JKsdBI6vYTuEA6fWOLYmdZVjx1dePGh0ws7j51duOO2V74tvO+Ov/haQ+JvdfsHzeBLyy2MsQjBOx947OgLfvI3Pibf8NwjL/g3/+SsXmrNs9pusNSqstTyWGppllqC5VbCcitiaTXhwiocXRLMza7ys9+5xHP31Dh9cZpzl+qcW9RcXLJcWIw5s5BwqRMzOT3ghdd1ed6V4MsqgQq4uFzh/KLmwrKgN4Q4NlR8Q72SMDURY4CTF2LaXdixwaNeHWKtAOHT7Ru2bxyytKrBOimy2oVhDBbLcitky7xHp68QyiLMkGbFY/umAas9wclzmsRoZpqSRkUQeBDHgt5QcmFZcn7JcnElJggG4MXcdnWXF1wjmGtWWVppcvpiwLlFuLgYc3E55uwyHF2y3Hz1Ij/3nStsnGxy6sI0F5aqLKz4LLYky6sJK+2IlXbCcsew2BGc7wiWVnr86o8M47fd3vxyde6fmcrE3i9j7Y8LqfCDf7jZ0X+wDP6e93+YF7/gJn7k3/2HX/izv/ziv3v/B79w+f5TrZ0Hz3Tli65rsXuzIU40xkqsdeyNlYAEBEJYtLD4Es4tVXnwiOS63ctcuW1ArQKelviewvc19aqk5kl6XY+DJyp87hGfk5eGtOOIg6eHbJhZ5g0vXOG6yzvcfGWLE4sxiz1BLRhw7Jyl1a5z7WWS1UHC/hOKRk3z9Em4YrNlECYMEh+tI6YacOB0gNIJnozRHvSHkude2aPfk1x3eUK7n3DyXINdGxX1Wsjq0DI/2WOl2+bPvwiPHU944viAHZuXuH5vm6npkNfd1uGbXmLZvbFBEk1y/OwER894nL5gOHMp4sylhKOXBKdWI56zZ4Gf/c4OGyYnOX1hmotLNRZWfZZakpVWQqsTsdpNWO1aVrqCiz3FYjvmlisX+RdvWJCBYufF86d2hWF4a31iZ7VSnf78k/s+ym/97p99rSGz7u0fJIP/yZ/9Jbdcv0199p6D/9+xExd+8rFnTqrF1ZDlgeJsz3LN9ou8+wcWuGF3jYtLUyy1aiy3Kiy3PJbbmpUOrLQSVtoxy52YxRacXhHo6oDnX7PMN78kZNd8ndVuk0vLVRaWfRZbguWWkwgrHUO7b2gPLb1BzEwzYvsGAwgCz3LmkoeQATvmFbs2WzbP97i4MuTxww1uusJSq67w1JFpGvWQMPSYmTL0B3DV9gF/8sVJ9m6LGQ4tsxOSKOnTqAQ8fWJA1atzw56YJ46FXFzy2TITsGsTbN8YolTEmUXwPYsQlh0bYqYakk4/oNvzaPc8ltuK5VVYahmWWwmLrYQLLVgaJGzf0uWbb1/k+VdqKl6T84tNFlcqLK5qltuClZZhtROx0nHgXurChY7i4mrMc/de4F0/sMTlmxssrU6w2gkYRHX82u7Eq276heXhlT/X0KeSF97+T77W0Flz+wcF8IOHDlGtVKpnz57Z/shjT7/96PGzP3/g8GmGsaI3hNZAcKmrONeJuemyi/zqDyxx/WVVLq1MsbRaY6VdYbntsdLWrLSh1TGsdmJWOjHLbcvFluBc14Lo8uYXtXjdcw2XbaoQhjVWWhVWuz6tjmKlK+j0BIOhJYwtSQJKWgIPqoFlsmmZn47Q3oCj50OePBJg4jqvuTVEe6s8vH+CnZvg0w/GvOjagEutPhWtiJOI6SmIIw/txSwt1XjhjW0+fX+DXZtg3+EhHjVe/VxDLPo8eTTh+JkKWvpsmNJM1QXVQOD7AiUgNhBGlkEInZ5ltWvo9AyrPcNS19JPEnZs7fG657V48wtCMA6gl5adrFtua1ZasNpJaHVjVlNwL/fgfFux0E64ec9FfvkHLnH1jioLK5Ostmu0ewGdvqbdFXjVrQTVjT+1cetVf7F165ZTg8Ggf8UVe77WUMpv/2AAfvLEEebn5vxDh49896HDh39r377HxOJyV/aHht7A0B1YOgPBal9wqS8534l47uWXeNf3LnHj5RUWVydZWq2z0g5Y7fisdDSrHUGrY2l1E1Y7Ma2uYaVrudQRnG8ZpiZ7vPLmDrddGbNjg6JZ9Wh3KgSeBBRhLDFGYCz0BoAwTDUGHD5rMTbkzn11hr0ql2/xef51PSKzyt2PTHLDFR6HL3RprTR53nU9Pv9wwIZpy/6Tln/5pjb7TwRsmJZ87hHF869SLPfaHDs9zQ17Qu5+sk88rHHb1T67tw3ox10++7CCRHD0jKZZ02gBvb7EWEFiLFEMSIP2Da2upd6I2LZpyAuu6vHKm2Jm6hUuLk+wtFplpe2OzUpb0OpCqxPT6sa0ugmtnmW5J7nQESx2Ym7du8AvfO8C1++qsLAywWq3Rrsb0Ol5dPqabl/R7gmipGIuu/w6u3PX7h+6bNfu9y8uLYRXXrn3aw0p4B8IwOM4kmHYf8OjD3768lYn+eUHH3zY6w9hEFp6/ZjeIAX50NLpC1opyM+1Ym676hLv/N4Fbtrts9qeYGGlQatbYbXjs9rVtDqKVg86XUu7F9PuJnT7hlbPstAVLHQhSoZcf0WfjdMJ3Z7ltc8bsnOjIU4kWlrCCO56vMKpSxU2TcU8dbQCpsaVWxU37jUElR4PH+6xsFjnmp11mpMr3P+Exy1XVFjqrbKy0mTjRsuD+xXf9rIuD+3XbJ33WOy2WFme5saretz/VMJ0dZJrLu9yqdXiwWcmqeo6N++17Nk+ANnl8eOC+emIiwsRdz/uMYgUUkJiLDs3hbzyeSGdrmLzlOHGKyAMayy3aiy3Ala7Hu2eotWVtLvQ7iW0u84tafcMqz3Lcl9yti1o9Yc8f88CP/c9K9x8hbs4Wp2qY+4SuDt9SXcg6HQTur2YG268OYqN+k9vf+s3HqnXqp/wfc98rbH1Nc9kxlEHk3S/88Kph9+9ePHQ9PnzqzRqEqlcoOgy8TFCAMJZgEJYpLRIqXno0AZ+/L2aNz1/mXe8bJldW0IuLDUJ/CrVwKcWeNSrmk5V0uh7TNQ1vUFCt5+wYWjoDy2dQcDyQoUzpy1hbDh7ISYILCDwlUVLQa+vEHjEPc1zdgp2b7Zs39JjmHT4zEOKA0emeNVNATdetcIHPmPxRY2dW3o8cb9iy6RittmjoqqEkcelDtQrmq0bBI8dCLlxT5WX3LDIH3yyj+81eMWtFi/o8YUHQz79QJ1njle5bHONnZsS5qZCds1GXLszQSmDVhaw1IKAucmAMPLo9HyeOuzRHWh6fUV3IOn2oTuwdHvuu3f6Cd2+pd23rPZhoae4uGKpTbT44dcs8E+eP+T6y+qcX2zS6lbo5OBW9AaKbl/SGwj6A8swgjC23HXPg16tOfPumbkHl1/2klt/ZLXd+4PJZu3/XoBHwy7Wiu+5cOr+d5489PnpsNejEgQYqwDhnBEUQoAQCUKAFK6TRkmLkgm+lDxxeI5HD9U5fO4Sb3pBlxdcPWCy0WS5VaPertDs+3R7mk56svsDTW+oGQwtg9AQRpYossSJu4exjzUglcDTgoovmGwIphqwcdawdUOP2akWdzwM9zzqIc0Er7rJ4zlXdrjvmYhw0OT5zxG0+n0uLdW5bY9hdrJHVQcMYsVCO0IZwXP2aGqNIY8crPDiGyd43vUdHjmowE5w09U+//z1y3z+sZDPPVRn/6kK2+cUG6erTDVqTDSgGoCnLUqCsbD/uCBJBFEsCGMYRrjvOEzoDw2DVO71hoZuH9pDWOhKLnVgaAa8/IZl3vCCFt/6CkMcN7mwWKfdrdDp+3T7Ht2+ottX9AaC7lDQ71v6Q0N/ELvVdmg4v3SeMx+8Y7o/NP/1LW94sW53eu9tNr52IP+aAXzQX8Fi//mlk3e98+yxO+eTqEO1EmAxKbABJAKBEAohBFKSghuUsmhl8ZSh6gkWe1U++MWtfOHRNi+6dpVvf/kq1+7qMjNZY2m1Rqcf0Ot7KbCVu4eCYSSJYkEcu6XerRguqNQaKj7UqobpRsSW+R4xXQ6fjfjzuyscO11nMqhyy9Wa265r8+ChFnd+pcmtV1TYvqnHn3xRoERAsxGx2h1iLCgBc80e7Y6Piau84UWX+OCna+y+WOF1t/YIoyXufnKGKKnw3Kvned0tba7Y1uILj/R44nSNx4/7bJ2WTDcFtUDge+4ilAKEsBgLxliiOL1YI8swchfyIIR+CJ2BYGUoWO6A0ANu2LvKt79ylRddnTDTrLLSrtHqVOn0AroDzxWrpeTQG0r6A+hlF84gYTA0jihisCguLbb44w99bt4Y+843f8ML7aWFld+fn5v6vwPg++5/N9fu3k77wse/azAY/PLShadniVcIPB9LgrHkIAMcsIVAComSGikTlBLp8mzwlCXQlqoWrAwUS60pPnRXnQee6vL861f59lescsPuFjNJlTgO6A0qdPse/aEmjBRRLIkTSWIExgqXBRWWwDfUKjGBH+J7Q84uDfnkPsmRMz7Hz0yhTMDuTT5X7VLcdGUbFSzw5NEGWyZrXHMZbJxbYbnd5NotkthY7ngoYNiTTNZjXv3cAZ+4O+LUhQZ7L/c4vzrg6WMe2zZMcf2uBe57osP9TwuGoc+Vu6a5clvAlVs7HD2/zJGz8NCBGoeP1alpQaAl9cBS8UBKF1RZ6y7WOIEwhjBxjNseCNoRhCbG2AE3X9Hm21/Z5kXXJmyaDhgMJlhqVeh0A7oDn15f0x04SdIfCvoDSX/o+kYHw4RBmK4MoUlXQydXjFWcvbjKB/7ii/MHjl385WqjHv/0uz/1gWrlFD/2g9//jxfg7/g3/4Obb3uSz3zGfuuumRO/XhHnJn2pkVWPMIqcFMHdpUjvUiIlKagVSgm0MmiV4GmBrw2+Zwk8S81PmKwIOkOPlfYUH7mnyRcfH7Bhqsfbb29x5bYBg36Xa3ZZtm1UDCOPJCnS/AKLlAZPJ5y8aDl+QbDaN3z8vhpnF6ewocdURbF5RrNjo+ayLXDN7jZGLvKeT9RZXp7g1is11+xu8YXHBSL2mJ+S1GsxvchHWglWorRPayC4uCy42ta4/aYOX36kyuZZn1uvmeafvX6R93+6w0MH63QHHkurDXZtrrJ3U4/n7unwlhd3OLe8zMfvC1jqBZw873H2rI+nBFK6Vc9YS2IgMpYkNkzNRFx3dY/hMOLKbUPeevuQ+QnFdCMgiiqcX6jQ6/v0hm6V6+fAlg7cQ8FgSArmjLUTB+rQgbsfwiAWDCIIjebQ2TaPffjB2RfcNPfrb37ldPQ933LNn9ro5xHeT/3jA/h/+KU/57/+6NvFm37wt9+mzf7f++5XPVZ7xc0Bq60ag9CglEZKi0jvMn9USClRUqbglmgl0Frg6QRfC3zPUPEs1chSCy0TlYSpqqAXSjphneNn6rzrT6fBxIg45qbreuzaGBLHYKzBWpfEkUIglUB7PgdP+ew/UqFe0TR8yWxNMDcjmZ/WbJ5T7NiUsHfHKolY4jc+2uTkqUlu3eNx5c6EftzhK08GTFY9ZiYsk42QWtVJIWMkrYFiuWtZaiW0ulVeeM0q+/b3OHBKMdms8NyrJ/neNyzxmx+DR47U6fYtqx3NxeUmG2drzE8N2DEz4D+8rUez1uKJ43DwtMTzLEpZhDCAdf+zEMewc2PC86+NSSKPKA6wtsYg9Liw6NMfuhVtEKpcvvVDwWAoGISOtR2IE4ZDwzA0DCKTA9vdYRAJ+pGgF0MnkrQj6HUiwvYjk7ddNfV7drAc/9Xv/9SHFo5vtHO7vu8fD8B/8dc+yN5tTfXvf/6P3txutz7whQeWK91ugx0bW+zZFtPt1dCDAKWy4NGgpJc+tyilUr0t8bTTnL6nGHqSYWgIwoRhZKlGhmFkCENLM4ZhZBjGEMaCQSQZJgFRUuHAkTqPH4DEWhy0nTb2JPjK1Xw0ArhmEzSrMFGXTDUUM5Oa+WnYvnHIprlVIrvMb3x0gqPHJrjxMsVlWyW7t67wpadjLi5NcNMuyVTTUPH7BDLAKkGcSIS1xEnISrfCxSWPG6+s8pw9He57pMKGKUGt0uDGPYYffvMSv/4xw9NnG6x2DasdxcKKZnayzlSzylRzgmYtYq4esePGkMCL8XSMUglSOJ1ncRdVFCkuLWiiWBHFijBSDKP0MZQMI8kwlAxCyTAULkANBcPQMgzdcR2GCWGYavrIvZ8BexBBLxJ0I0ErEnRCSzwY8Jxdy/zw25fYWV+oXTw2/YGbb/8ds9Te89HjT/1Rsuva7/j6B/h//Y0/o17z1VNHL731zOlzf/DEgZMVvz7FZx5UeMryc9/X4qotCZ6KkQOTgttPwa1R0uIpi6cVnrZ4ocT3hDsJnmDoK8LIAT2KLGGcOFckLt0TiBNLkhgSg9PbhhzcQoCSoCV4HgRaUAkEtUBSrykmapKpCcH8dMyOjT0a9VU++uWQu5+cZnWxyXXbFTs2eVyxbUAiVrnjoRp1TzM3pWjUBjx5FJ45prl2m6U3VFx/RcR1uy0XzicsrPj0BzVec0uHe5/oc/isol6VBH6Tay8z/Nx3LXHX030+cdcsS23LjvmElZZmsqmYqHs0ah71qqUSGALfEOgErZzUkmlrpbW4hJURxEYSJ4I4FkSxJIwFUSQZRs55CSNBGFnCEIZRQhgZwhJxDKPyPWNtB+5OJGnF0BvGiKjPjTuW+ZnvWeY1N8NKe5JW+2QlUhN/pCvBPzVq6sOHn/jT5Irrv/XrG+C+trLdbr/j0LEzv/3M/pOVqYomCQWJbfDX90MYKt56e5u3vqzDdDOh06ugZILSCVp7eDrB0xov0gRaMfBStvEkoS8II+FOTqSIYggj6RyEuLD94sSQJM5dSGzqlKSBbObOKOlkj68FgS+pBJJ6VdCsWSYbhg3TQ+amOsR2lQ/dK3n/p2eYr1S4brtg+yaPnZsNOzat8NGvWJaXK1y5UTHVhEYt4uIJyaWVAH8XDCPB3IRkchIOH7estA0XFitcsbPCy27q8Ml7Ksw0IPB9lJzk2t2C73vdJTx5ib++b4pnzlbY0I6Yn4yZqCsaVUWtKqkGmsCHwAOtncOUxTE5yHEXdmIgSQRxQgp0iBJLGEMUJY4UIkOYPUaGMIJhnLkyqQUZO0nSjQTtWNKJDOEgYiJo882vXuRtt3d5+Q2SVrdOf1ghTCp0Wscrlab8PRloDd6f4Xjm6xPgP/HrH+f80HzX6YNP/eozB081lVb4QFNbYqvo0uCOhxRfearC+ZUl/uVbukw1IypBTKcX42kfT3t42sMPE0JP40eKYSQJPZdKd4wjHBOlrBTHECWQJM5JMMYFXMbYrIczBbcDuNP2Ak87gFQCqFUMjWrMZCNmbrLP7NQqXz4Q8kd3Vjl4fJKdEx67N8LWjT5bN8De7W16cZsH9zepKo+5KcVkAyYbQ6YmYnxf54mr/tBnuR2x2rO0ujGXVny2b2zwvCsvcedDPQ6ebVILIjzlI8QEu7covuMVi9y89xJ/dGeDB5+aZKmrmW/GTNZiahVJtaIIPEHgSTzPxSpKkdqHDuUW18NqDDnQ48Skq1tqLcaGOHHgjtMETn6PnCsziB2p9CJBOxZ0Ehj0Y0zcZ6ba4Ye+aYl//y09qoFPq12jP6wwDD3iRCGVorN6ohnU+Y09e7b77XN/8P7m5n/69Qfw5ZUWWsnv+cXf/Og79x8+M+NrSWLBWEvNgrUGiaIra6wOFL/6Fx77j67whhf3uP2GDhtmhnQ6Vfrax/d8At9jGGqCyNl7oe8AHkWSMHbLbhSnnnZCav2RMrdM7ccU3C5JmTI3aOUSJr5nqfiGaiWmUYmZag7ZNNvmYqvHb33c44590yyv1Ll8TrB9XrBl3mfrvGDX5gHaX+WDd2uOna6zZ4NkqiGZqCdIOeTsgiXQEinAWkEYaXbMt3mIhHZPsdK2XFyusmdrhbfc3uLDX/A5cTHA0xFCeBhbJ4olN+1aYce3tLnjkR5/csc0D5+os2VKMFtPqFcSKr4g8AS+52IVrXCBsxR5TYbFXWQmPRdJ4gCfgTxOnKRzYIcwcbUuYZY8igX9GDqxpBNDPzQkvSFbZzu85MYV3vjiHq+92aBFjZWVCsMoYBj6hJFHHKvckh12T86srG7+5U27v00N+t/03kq1+fUD8MWlVbTW/+yvP333Ow8+/dR8RVsnBYxDlsCmgZ3BE4KOqNAONR/8UoW7nuhw45VtvuUVPV53a4uZyYD+IKA/9Ak8jzD2CCOdB0pxrIgSSRxLokQQx5IkESRGFFrbCHJVYkkzoi5ZpNJkke8ZAj+hGsQ0qkNmJ7v0oz5feNLy51+a4MGnJpnyPa7dYtk0Ldkw47N5TrJ1Q8hlW1Z44kSfj987x4TSzE0ImnVBsxbR6iV8+isVGr5FCAes/lDzhucP+dQDriam1TVcWtFsnW/wphd0efBAh/2HfepBjJLCgdzUGIRO63/Hy1rs2XSJD97V5v5nJjm1UmVjUzBRsdR8Q0UbfA+0EihJmiBz3zsrPzKpVDOmWOHiFOiOICBKBFGSAjsRDGJBLxZ0E1zME4bUqz3e9Kpl3vGKNjftSdgw5dEf1Gl1AsLIZxh5hKEmjDVR5M5Vkp6v40ePzCfinnfuuPwlZthvvS+o/v03Tvy9AnxxaZU46uF78js//8V7f+UTn/rCTKe1Sj1w7J2Vncoye0qLLwVd5dH1FGfaAeceqPHAk10+fF2Ht76sz6ufP2B60iccBgxjjzDyiGJNlAI9ThwzxOnBywBubMrcpqgpE8KmQaWr49Da4HsJgR9RDUIa1T4JfT7/iORPvzjJU8cnEFHAzinLpknL7KRibtpn46xk81zE9o1tTi90+J1P1ImHVbZuFUw2NM06NGsRwgtp9+tMNtxFbi1EsWQ6UMQmphP5dHoJK23F2YUqV1/W4Pu/cZVf/rOAkwt1tIrSC0MTxxUGoWTjTMBNl7e57rIuT588y59/qcqdD09yrlWlHigaPtQ9i68tnnLHWEnyPEN2M4A17qJLjCCxECfC+eeJIExckqifCPoJ9GNLHMeYaMhMpc9rXr7K21/e4UXXRkxUPcKozkorYBj5RJEjojDOEmruHsciZ/Go26bzxJfme0P9Kzt23xqfO3fuD6en6lT+HoH+9wrwfr9PrVZ74933PvSbn77j883hoE2jpkiSlB2kRSUpewpQwubuRZAYKkrQUz69WHNpWOGvH6hz91M9nvu5Lv/qmzpctb3N/KSiWdOEkU8Ye8RxAfIkA7iRaaePkwQ2DyjTVL+yLlmkYwI/xlMh7X7EQjviv3+0wvFLUzyyfxJrfGaqgvlZy+yEYKapmJn02DAj2TgTs2Wux8zkCnc8anj4mUmu2yqYakgaNUmzZqhXQ4Q3JAg0Wrm/by0kiaQ/1PQHEbERdPqGTtey3Pa4sNTktr1dnnf1Kh/8XIXqskLLyAHSauLEJ4xcj+fsZIWbd3e5+fIuD73kHCcXJH905ySXVmucWQrwlaTuCfxMhqXkkhN5JlVwTB5bQWwgMoJhAoMYQmMhiSGOkGrI5qk+1+1w5+OWqxKaVU0cO8YeRj5xrFMCUinAVSods6xxscrGiWa102Pl4S/NCKF/c/eeG1eGg/7H/z4x+fcG8KNHj7B1y0b1R3/ywcuffvpgs9NuUauofMlTiavKiyWFv52ATgSesvixJUgENSXoK0FPB/QTj6Wwyp0PT/DlZ/rUgyH/9LUtts7E7Nzc57ZrOmjhWsSEcHLFZSVdrXRR04KTRdKihPPMLTHImKePS/Yd0HzywQZPn2oQxjUaWjFXtUzXLVM163zwpmZ6QjMzKdg4HbN5rs+muRXufmrIez45z6ZJzVwTmnVFsy5o1GKqwZAvH1IMQo1Xd6CyVhDGkopW3LCnzwNPTrrCp37CattjcTXg4uIU3/+6i5xZXOKBx+bwJCAiDOQAGoaSbl8z1agw2azzvD09XnJdj2956QIHThs+9WCFBw9UOXSsTiw0w6GiFymUkAghxgLPNCdgDbGxWGPwRMKEH1Ih4nk3dtm1acDW2Yhvf/WQqi+pVz3CsEar46crqU4Jp2DrKAe3zEsiHIO7e5QWhnV7bR7Z9+Xm2XMXL3/Va9+qjh49muzevfsfDsCf2f8MzeaE//DD+75bCfOr/d4qjapHbEpglpBk4FYCFeMkQmLRMXhS4BlLEFsqSlBLBEMDg8Sjn3j0kgqdTsKvfHAKG0dsmBtw9fYBMxMxb31Zn+3zIVEkUr0tocTcpPpTSoOQgo/cVeWJo3WE1pw8V+PsxRqVqmIiEEzWLc2KoVmBRlUwUVM0G4qphmZmEmYnYzbMDNgy3yaxq3zk3ib9bp0rtlqaNUWjJmlUDY1KjOeF3PFAhWFP4s27btFMotSritc8t889jxq6Q0m3n9DuaVY7mgtLNa7a1eCtL2rzyNM1Ti43UNIAUaqXPaLEuUmDUNIdaFpdn0a1Rr065KqtA27dO+D0pRYnzq+ivYTHj2k+/KUaQrnCNcbnD1oDGLCWKEzYsSHm7S/rM9tM2LvDsmEGkthjGDaIY4+VtkccKaJEp3GQIorcSuqkiCRKUmDHwsVJqf+eATx7HcaS0+eWqU3Gv/rYY4/0tu/Y8f5Dh/aHe/Zc9Q8D4OfPnWFleXHPmdNnfmvfvoekUpIgUKjYOlmS3mPlWFulWlwbgY6dTowSi5dArARBYqkYS5wIQmMJE8HQSIaJJDQekYGFbpMvPWGwJPzVg25kA9ak9yyLl1pkIqtIlEiliCONNBpPSxoB7Jqz1D1DLTDUAqgFgnpV0qg6OTTRkEw1YWYiZm5qyOa5Dgkr/Pe/rHDfk/PsnoGpWsreNUmjGlOrhtRrfarVGoGSKJlqcJwciCKPQV/QHyZ0horuwNDpG9cyV/c5c3GCF1495IffdpF3f1hzajVACIO1ESaxRLFHGEkGQ1fG2uhr6hWfWrVCLahRCSIa1ZCbrgjxvYhbroj59pf30CpOk0AGIeyoKE8lnTESISSBpwCfwVCztKJd3U6SxTzpPZZFDBSn90TmgM5lSQrmJBHExlVvFizuXJtHH9knLfK3Ot3eveFw8NTfBzb/twH+1x//K0BXjx098uYTx4+ISqAxVhCnB1BKSyItUhlUAokUDtzKRer5Y2JTrZ5G9JluzyJ7I4rXRhAaSWwlidFEJsgtyPItz1IK0EK4TKWCStVS0ZaKSgg8CDRUfEs1EFR9Sa0qqVW0A3hdMNkwTDdjZiaHzE932Ty/xHs+afiTOzewbVIx2zA064pGTVGvQa2a0KhGnF8yHD0fUPHdBQ1ZpZ9gEGp2bTRsnB3QHvj0BzZlcclqR9OoVmjUJvn2l1/i2PkL/N7Ht6ClxmJITEJsLFGsGYaKfuiKonoVSW2gqQYe1SCh1XExhu8lLmHmJWjpGiWkdOl8kd5d6YordXMgF7RMWmVpXFyTJBJjJLEp4h0H3izAz56XHwvWTkxm4aav03xFnJDWscOjjz4h9u7tv3n37suOfvKTH++//vVv/NoCfPO88lvtSz+2unzpx+J4KCuBJE5cFaASjrWTxKbgzljc9RLqxBIb0IlzWJIs+WBs+trm7xXPi0o55+WKPFAqa27IKhJdYKWlQUvSmhbwlMDT1vnGWlAJJBVfUg0U1YqiUZU0apaJesJkI2a6OWR2qsf2DUs8eGjIB+/azFQlYEPD0KwJB+6qpF4x1CsxjdqQBw/C4wdqXD5nU91bpM37Q8Utey1XbO/z0FOT9IaW/iCh29cpyD1qlSrVyiTf/OJlHj90iQf2bwSrMCZx5bCxJY5sXk/SH2pqA0u1oqj4hsD3CPyEQBu0TvC0KzHOan6kdKXBCIug0HNFcO5KiE3mSJnMfi1ZsRmwTQra/HWWLc2AXYA7Sc93XLpnSblh1JNnz174/wyBH1RqvwCEXzOA93o9GYb9n7nvC3/6I/3uOb8aeCRJBixBknrfibQkUpAoi0osiTTu4CiLNu4CcAfOYhLy50mWcbNZ5s1i0kxclqyw1lLKvI+suEXJrbMklUwzlopS0ZbL/gW+ohIoqoGgVhU0qpZmLWGiHjPZGDIz0Wfz3AoPHOzzM3+wgVNnJrls1jBZg2ZVUa8q6hWoVxKqlQjfG9AaWJR0NTdSFp/MnXBJFPs0qxG92NBL66x7g4ROT9KqKmqdgErQYOfGiJ/77hY//QHJV/ZvwKIw1pAkhjiJCWNDGCkGoaIfSKpDRcWXBL4l8BWBNnie8/u1sg7gygFcpTJFCDvaoJum9m1KIjatZUlSwCemeHRkJNNHUQA8fZ69n4PZZAC3xaMxKQ4sh46e8oeJ/5/+5Q98l9fv93+qWq3+ndP5f2eAdzsdTBL/wqMP3/9vzp07U6lVJXFkiWRa25FKD5UIEilyJk+UxSQZgNNMmkqfG4ExNk8jm9yjBWus6yJPS0DLd8YAnsruNLBMLUkpUMpJIp22onlaEvhuAFAlcCMZqoGlXjE0agnNWsREI2S62Wfz3CoPHOjx0++f5eCpaXZMO4elUZXUa9Kxd9VSqyTUKhFREvLHn2sglcKTFiUKm9DYbAn3+I5XrfDZh0M6YUAvBXi3r+h0Fa1AU/EDAq/J3m0xP//Pl/jP7xfc/9QGjJUkxqXVo9gVmg1Dw7Diyl2DQFDxBIHvMpu+tnnGViuDVC7wl8K6RokM4EXKE0hJBJdLcG5LGshnAE6nDpg8uUbK7uQrbrY6u7KJDOQpHtJSAWOK2qEkEZw8dapy1933/NtXvPylot1u/3iz+XfLdP6dAd5ePoS19nmLZ/dVhQ3xlXQHK3agShKROyexBGUc0JM8PZyBmxzspsTQ7jk54J3tZ4uOn+zAj32uDOBZDUaWycvYW+us7kTiedLVb/iCSuBmntSChHrVgbtZD5ls9pmbbPHggR4/875pnj45y9YpwUy9JE0qmnrF1a9UKzHVIMTzhpxdmsJTAiVNassVQabL5ik2TVniOKIdVdJOGUN/kNAZSKo9RcX38L0Knp7gyq0xP//PFviJ34cHnpknMdIBPLFEcZIyuWEYGCqhZOCrXIJ5Hng6da6UdLkASSpTcLX3ojiGZdKwNs0Em5TVM3mYJoeybHGSlN43heTM5Wdi85U4yas7bf6zDOyxgWF3yJ1feKg6u2H78+T/xo4TfyeAP7bvs1xakbXhpQ/7Fd0irroKPpnYvPYhlumXSpkz/6IpoxtjSTQ52EeBnckQmwPdZnIke/4sn02KoohKSpBS5OBWUqaNEpk8gYoHgW+oVizVwOnnWjWiWQuZrPeZnWrx8OEB//m9Uzx5co7Nk4q5umGiKmhUJLWKolYVVCvu4nCp/pAH9gu6A5+KIr3InAbPmhASI4hiTb2iuO2aDg8+3aQXOZnSHyb0+opOoAh8he/5qX6e5Kpthl/63kv86O/C/fvniYwkMiZtli56MIe+JPCNY2+vqKPXKruTypRCxsk0y7seyLOkkM0AngI+yZ0X1l15TcrWJluxTYngSmAvM3icQBTDsdPL/Obvf9z/0X/xutpH/vJTvW96yzf8nwe4DY+Bt2XyiX0f/52VVvJibILvZXIgA5U7qbERTn9ny5bEMXa+pIFRYn3WLgHa5MAumoJJtXd+MoQrKBKy1MeZgtsB3LW9edoxme/hOoH8tMAqSKim8qJRHTLR6DPVaPPYkSH/+b1TPH5ino2TmrmaYaIK9YqgXlXUqopazt4JlSCmURtw9+M+q60KU1NFmjwDjEm1aZQo5mcUL39Ol7v3GddFE5oSyCUVT1LxNJ720bqKlIartlne+b2X+NHftdx/cJ7IaKK0AtCVvTomDyKZVxf6WqJ1WoQlBUpnx4b882UXYSZVRFaVRpEQGr+b0qMxpcd85S2t1taWwE4J6MXrONXkzl1JkKb/4q88evz3v+Eb3/4DX3749OoLbt72fxbgh46dQsgLPxr3nnmHMhfRuoKDmnE+s3CWWCxFIUsMJKq4uhMjMIr8qncTmjIZQs7eI4HkOHOnSM8ycrn2llkFXaG7s4pBrXD1Gdriea6xuOIbKn5CtRJTq0TUK0MatQHTEy0eOTTkx353lseObWB+0mO+ljBRsym4U/auSKqBY/9KEFMLQmIzpBMGCCXxMgbPNbhI2S0tEIs86v7AlQuEFaYykA8Ser5j8MCXriZeZxvQWq7dafnlH7jIf/xtw/0HNhAZzTARhIlJWVxQiQyBZ/E917uq07hDK1ci7NoA3XFyMkWUVkB3VPMLsxzrjIE7J6ESMZXBXcRV6eqcpJnTslzJn5OD3FjB0ZNLVJvH3nHLzQ8cjQbRT/wfZfAL58+xYX7Tjj/78G9cN++folEF0zdpQkUihXEBZSLSiUvOGsw0WeaI5MtYqt1MvmyXD5goMUWRlbTlNTNj7XJQmS23aY2LSoMprdPOoLQIKaserHhJqpsjqpUhU80eE/UOD+yP+fH3zPLosQ3MTWjmqgkTFUsjBXe14uzEDNzVIKHixzTrIftPWO56pI4vJZ4yaRBXeBTZ8h0lithobr8p4vLLuhw9VWWuRtHnOEzoDVIW1gqtizY+ISzX7IBf+r5FfuJ3Dfc+PccgqrpkWGyppTXcgYcDuc5WL5NKFIlUSb7CKSlKABclkLNGrxQgt6MAzysUi5V3vZW5XJ+fN2CULOHCXYHIas5dOMOBZ+677ju+9d/uOHf2zMnNW7b+/QM87p9HVZo7Txx+8Ne2Tw7eaIaGOFEoZfKFTCCQxkmDzCIyMrX/bLl8de2SlvnDNve0x1ySNW5Jytzj4BYWqTJb0KZJpZS1tcXXBs8zBJ4h8GMqfkwlCKlVhkxP9Fjp9LjnKfilP93IE0dmmU3BPVm1NKqCekXkXrlzXoxjb98BvBoMCZOEQb9CRbmLTAoxUsmXJVJcoKmdltdDhqGlH4kSwA2+n+B7Gs+TaKXyXtUsC3n9LsEv/cAKv/JnMfcfmOFcq8mgLplMLI3YUkknDgSeTb3/zEmxOXtnUiUDeP550w9dxnmuENOTkq2qBbhHJaWr5iTPXWQXgCO7UcdsHOiJAV8LFhcjHng0euPmLV9Jrr7mhn+7/9CFE1ft2fj3C/CDxw4jdfXWzsJjbw67B1HaA2vTDJ2bNiWlQCapNDEZuEU+JDJja5MC3S3XNj0AonRgRjVfcRtVhdlJcOMeMva2qTyxpeFArizW0yYdM5Hk4A78FNzTXRZW+rzzj2t8/CtzLHanmJuQzFVScFec7q6lgWU1kNQCmzK4096VIARCvviYz0rkMxMwUo+NGF2hksQ1PzQDzctu7PHAwZBOFDCRd6wb/KGrVfe1A7hWFiU9hHQJGixcuU3y7n/V5lMP9PmF923gzOIU/UnNpC9oxIZaDEHkRi/7yg008rJAU4o8CM4ey4F6+cIUIu8Vyc8PjEnIMrBL8dNIbFUOQktAH1/hE+uOm9aK+x8+zPZts2/essn741anf+LvlcFb7R7NRvWKhx/50r++cPYRNk0mDCPlvqYVCGEw0rG3SkGtMuso7aZx7CxyzZ0/5hLEjkiTEdYuy5L0QGfMkqWbMxdAZQBXFi0dsLVy4PZ0gu8l+F5MxY8I/IhGtY/WPe5+POH3P93kk/fNE5om803BbMXJEmcBZj65Su8iZe4ye0doPeTLz0zSCzWbatnnGWfw4thEsaLiKZ53VZ/YOID3I+G61rPO9aFxwaEWKYu7CzlrHLEIZicF73hpl0Zwjvd9us89z8xwIarSq0iasaWurQO5TuMQZdO4xKYgz46hKGrHpZstlh3r8R0Fc6mSjahgVJeX46gysG0G6rHgNCnFZNnPSFf0XuTx0OOP87IXXvavb3vuyx+Nws5hz2/87wO83z7Bw4/cTbXW3NxeOv4SbYckRqFVkp4sgcysIunYWqVZLgdqmweQJmXzETmSaW0KrV0Au2Q9lO0rYcekSZaVcxWDbrSbSWu+U3ArV4sReBG+H1HxQmq1Ab7f40/v1LzrD+c5ujCNF1TY2BBMBwnNwFIPoJ522FcDl+2spAkhV7+SpCuBkyeL7YRu6OMrhS9tHmBS+irZCcxqN8LYo+oN2DjZZ7XXoB+JdNyaixU8L0ltPpXancoBfCRwdZWPb3xRl1uuXuCX/mjAn9wxx3Jcpxd41D1JU7sanECDr8ibIXSW9ElXPplLlSIBVCaVUbFSBjojK/Ao2MvafB3XxY4Cu5zvQEDFF5w+3ePLDxx7yaDvbV5ZbR1++sAprrly+/8ewI1JuO22m3dePHfgPStnnqIaKARuvEN+0mxxkI0RWFl6nulNm2XDRCmALAJMSxncYkyaZOC2BZuk2TdZBng6U0WOMHeSgjzG106SBP6QwOtz4mLM732qzsfuneHYxSmaNY/pCkwFCY3Apqn3DNwyBbfMk0KVVHsHvrtwmvUhH/2y5vDJKpV0AlfeLkaB8nyMg3U6PIo1V+6A19/S4fc/M0O3pmmms0eCMI0blEFrmU74ogRyr0SpblXYPiv58W/rcd2uM/zuJ6c5dmGC5bhKz9PUlaCWAt2X1l04qcuUr36i6LoSIt0UJuvrFJCVZRVrammlzUonct98raWYS5QSBsw405dWboHLjCfW4/P3HmD35Ve/56Zbnv/aldX23yhVvirAF1djahOKZ/Z/Zetg5ZHd85NniJNKqrdHr+CsOKc4eTIHd9Y2ltc2GDHy77P/PmOBghUy2rYjOjADtnvMRimnA4OUTdvRsgKj2HXu6JggGOLrIZ0k5Lc+5PO+T23k7NIkRlWZnlBM+5YJ31BLmbuWp+9lWqeSSpPUO8/B7bvs5TAKOXwmoBsGTAWpi5MlnTJXIsvC2lJNSqRp1jW7toaoYEAnbND3BdXIjUXzU3nlpRJFZ66HUM8SvCrmJnp8/xt7vPn2C7zvU21+7yMzLPbr9HWFilbUtKCqXP29n3b7KCnS7CbpamjXZ3LWkSvjDgtg1wW4KOnzsbsRowZD6fdLA7FUPHqkzb6nn969caPeeuuNt56wdogQwd8N4NHgIsu2Mefp6ocOn3zUu/4ywzAcrk0ClBi8qEIz6ftFX6SxBYNT+rIFYwvsup/EluxAmwN7RJ7ItEpOJQ7gOkGrBN+LqPghvhfSGoR8+QnJn97Z5CP3zjBIGvi+z4wvmPQNdd9SCyw1vwB3JZAEgatvrwQiTQylzkQKcN9zmc/j5y33PFwjjDyCul0TYGa3Ip3tSlHDSOF5mpff0uGDn+9y8EydfsWNZhh6Fj8GLzJ4oUEp6Xxr6QaS5sN9KI5nYiSxkdQCzYbJPv/xm3tctX3In9zZYN/+CRb6dQbKx/M0FS2oSgiyAUuZvSrTrLSgBPLRmpXx4qwyo2cEVWbisvQo2Nr9mxGgl1bzkjpFAAPj8ZV9j3pvedUtH+p3V5/TancW/s4MvnEDctB57Favf8/E3q09wFAJkvwbpCFfqVahYO5xoJsyY2fPM2CnEqXM4COFP65HxzF5nlI2ebmn090WrRIHcJXkckTriFY34r6nBH/wmSZ3PjLBcquBrFZoVBWTnqXpG2qepeZbqj4pazvmrgaSiq+o+IKKT1qhZ1JwGwLP6W+lhxw6A2dbFZdYSfXtaOKkqJ9xfZBpKamRhKFmQ1NwxbY+T56K6UUew3TGtx/iwKeyybpZogbG6zQKlyqVP4mrD3/7y/u8+rkrfOHRDh+4o8m+/U2WOjVa0qfra3wl8KUgkLgeTul2qVOiuEiVSMt+12HwNfUrJYyU8xllMGc/S9bIlFTSpsep7NhIAY8fhl9+z90Tb3l9cutzrt79Gb7K8KCvCvATZxYDm5jfFsm++uxUD2N0sXRkoM6AasaBLUrLkSz+rclYvwTw0hU/etTK0sRSLtB3ssSkmtu4aVgywc/cDBmx0Im5+2HNp+9r8PF7JrjUriMqFbyGR1PDhOc6eaoeqeyAqi/Su0xLTlPd7QuCjL0zgOsY34+p+CHWRnzxkYCT56vMTgs8aVIdK4pG3xLb5eWnqaToDz12bBC8/MYeH/tKSDfy6EeCiuf6Vf0YhpEtrVIq96sRckSmuLssGhWM89urwZC3v7TPK29Z4q/u7fCp+2rc/USDS60afeHT9zXaU2ghXAuhlHjCplLLohAlaThqH459vfSzFBdd9mhZq7kTK0hILcKUwXONTrmRxSIstBLDQ/v313/wO2/+bWXOXAX0/04A/9NPHGMwWKWz2OGd39ciHgauez0HsywBXGBYB+QmA3Kmt9NmYFsGenkhSr9ISguCQpaIjLmFkyQiBbjWCb6OqFQiBsOEg2fhxDnFn39ugs/sa3JppQ5eBd30qClJw7M0tKHqWaoeVDwH7ornZhK6MlNZuov05zYFuclB7nuuPe3oOcOTxwPwvHSZt6UUvRhBQTkIc/XSgjhx45yv3TXk6q1dDpyt0a8IarEgiCxDRWrtmZS9MzclsyALrZL77JlNa1Q6fcBjEHpUq0O+6zVD3nDbKp99uMtffL7GiXMVDpytEa4GxIFmoDVSpVN9AZ0+ZkyeSxeK4H8Nk5fdlAzYpG4JRaCZ5O87y9HkbkMacdqUy13lFioe8B0vv8iOqf2Tc5u+7Vv7A/v71YpgvduzAtzaoyIc9v/1R//yd2a/dMbw0H547t4eXiCRSpJEijDMxjPIUeYog986gVGk24sLoHwgyodGiOJRZN0mGWsLk+7ykBAEbpJqnCRcWILPfUlz9EyVux6scnalytFzdQgCVE1T0Yq6ttS1cS6C5wbnVzw3rs2BOLvL9K5SgJNq7hTcXkLgOfZ2F1bI8QXYf6KGJ0ftwVyiUNSD5wFXngRL+xpjj6t39LlivsdTx2J6sUcjEgw1+LGbCahKAJdSIKQcYfKMKYuiJ5EHs1kfZZR4DD2fZjXkO1415EXXtTm70uaLD/kcOx3w2UdqnFuqkPQ9jNREvkJI6VaKtCtfkmY8IZctGSGNOyuZLBvJUlOk9vOrklJPbd4EbSB0vYpCx0gVcevVfSYaCb/z4eOT3/HN3R/2vOh9Y3/2bwb4Qw99AmuTd9T8Q/VLy5offNcc11wW8pKbB1y9K2bTVMTlOw3KCpJIjiyJjpVH2dwButDexccpB5ZZIseOMXdJiqgEL0iIEsux04Injyk+92CNp477PHO8SnsYMAwD8HxU0yNQgpqCmjZUSz5woLM6jaxs1tWFB6ks8X2F78v0ArCF9vYSl1n0nM6v+BHWhFxclgxtgNYSX1p0yWYbI/Ac5Ikd7XcMYw+BZm46RKoB3cijp4VzOqKiYEwrM5KBlJlJDZAF9alszJm8NBjJS1Q+fqI39Nk4FbJ9Q8RNlw3ph33+6fEWT53w+dwDFZ48XuHYqQpRrCBQWKlASBJZygbl9P0sWkWMfXFKj1iwSYmlM5AbiCyahN27QrZMRVy5K+T2m4Zcc1nE08d8Pv3gfuY//2do/ewbdq8L8I/+1R088nRL/fU9j4tDR7ZybMEw6MU8cTzmsw+FTHgx27eEXLs35FW3DHnZjSHYBE9DtW6xNv3SRhCn4M8CSQfuLAc3ejCEcF9YSFc3gjAIaYlCS2/gGP3EGcmf3RnQixSPPVPhyOmAxa7PMPFB+6A8VFPhS0FVQU1ZKgo3zkylhUfKsbbvCZf0KIPbk/ipLAl8CHxS18SlzD1t8L04zYhGVCshl1YSPnd/g1YnYGpCoFMvPiv6EuusnrkfnGtxyXComJ1RvPq2AZ/d1+dUq07fk06maPBiixdlnnXqscvE2YWUZ53I/G8Yq0t/wwHdTxSJVsSeG/sQRZ6zUr2Iuh/xomtjnnfVkDe9ZMCh05LH93v0Q8WffK7G8QseCEmvr0lClZVvYnUG8DHLKAP4OLAtgEHEFmEsNmXuat0l5ASGl9045FU3D7lmb8iOLTETWjDTkFir2TErec6uHkYdEqryUvXUo1+Ir73x5X87gBtrmZ1s/lZ3Ob7+3HKNSAioxRgTsdB3wdvx5YT7n0r48BciZqcirLHcuCfk7a8YpI0NlrkJww3XhtQr6YpjRb6ErT3nIh/O0+oJHn9Cs9SWVCuSB/d7fOLeCoNIMYgU5y/4GKGJrIcRHmiNCDRaSnwlqEhLJQV2oCyBsq4GXKeery6Y28/6MnNwq7RHU+Ts7XsG388KtJKcvX0/QqmQLz2q+NhXGihfO7ttRH8/O4NnXniSZI6HYjDweMPz+3z8y23+5IsTdOMK9VSHe5kOj7KkjM27hYSQOcDcn5IlrV8CuEkH8GjH5J5WxFqj48QBXSUo5QbpT1Vinr835ra9EVYMeetLe257kkTw1/cGPLTfpxoIFtuKx5/yafdkqpLEume4YGyXxq9XDDc8J2R2MnG14Ynl7a8YcMMVEdbA3KRlatKikVg84kTT7WviWJMkHlO1gIW2vt5vTP0W2HU3/1kD8LOXVtk8N9H8xd/84N6Lrb6qehZjJb3E7WdjpQcmxpiYoYm50PK5sGrAJhw6ZfnEl5x2sollYirh1utCGlVXE7xuerJ8maeuw2pXse9Jn3ZLIbV0M1GsdswktEtrSQ1SI6XEk8KBWVoCafClA4KvwFfFjD4HclE0PGjXCJA1HpfB7Rg+Lav1MgZPSveYQEdYG3J20SccVggmJH6a9lZpVd5IFlPk53cko5t3pxtFGHlMNRTbZkN8MaAfB/RjQVW7IZhZDUmW0FKyXN4q87/l/kaWbDNFAs6YtGeykEZxnKR5A5XufxQTxQkqcrkErRKkjNk6a9IVw3DV9gGh7SO1odUS7HtSs9qTqFyxjAbVZTLHukCyXrE87/qIiUmDTZx8rUq3Tbm1ynXyx5JBokhMek8USeKmaIWhol5dVrMzJ/fObPvuprULbSHmvjrAL15cZGV59ZfvffT0S88uDqn7moZ1i95ASEIjMVKB8cgjW+uG7sRYWpl+kpb2iuX8l8rO6HoAL+u39OQIgcmGFpLWnApVBDlSplZWBuo07SxJN27NfOPSo0476RXp1nvk4HZtXQo/BbevyUtMHYOnLK4Nfpod9byIIIg4vWj4o8/WQft4UhQBZi5PxBoGL/vD2ZBQBzZ3AsPI49tf3eev7u7zzMUG3cSjFrtNaV0VoC06cVSWEygHe1npYiaFZKnAK7ubvBZGa4WXuHkpXgp0JYukmasbT58Lkw4OStDCImzCbM3wDS80IJJUZgIi2z/Drj3fOSQE1mhMXEjXOJZE2WzJNIZwIytUeox0WqTmCM+TLezg4EuH3eO/jI1/8G9k8E9/5gsoKX3ZXWRzQxBbS5g4FtLCMhSC0EpiIV0ppNSlyDeLhAu9lXhlYI/lXymdeSHITKdy8CKkzFvQlABPuLRyIFy1oCfday1JayrS7vGskEhTmoNCujNb0VVfAFzmsiXwbd7S5vumNDgnxkvZ29cRUoacvCBYaFcQWhNIRuRJnp4vWWgjjkKptKEIBBVh7DHTHLJjY58DF4b0E80ggSAReInFi1MdHpM7S8VhVCOdCplJ4SbtZo0GoiSNDDoxJEqidLZ9uUqL1RI3sEkWdyENKgW5yP42ZszKtTnQMwesuLjzYmf3mJsPjJoSSKwRJKl5YUsk4Bwn99jqBpxdjNHn7vLXUwhrAL68cAYpBFXVZ6Jq6YZF1ZpKHIgiA7EQRFa4iaTI3O7JyiRHFye7PnmnwBZ5Sab7Q86CKqbQagGesHgiBW0qAbLn+Xsp2ReloOQNtr4SDuwj4Jbu0c+AngWfKbiz7h9tconiaadPfT8iJuJTX65ycaGKN6HwyzUcZQeFMUVa0uB5lWUp6TMYugm2r3tBly8/MaAdV+hpTTU2hGk6vTyGOis4E8JQdA5lgWZWtZlZh+lMFQuJcn9TG0GsBDqR6S52rpYnToFeJNNMnmCT0pQSb2YkCVdYuyWP7FkkeRnoo5ayyDPjLp8i86xvBvIo0nT7HgurMLxwgfVANgLwC8fuYHqy+sJ3v/e+W3oHE8BZUdqAlRaBQBlngSWyMOnjfLpUlmItFVE9G66ze5YsEKCyR2HRkFttKk0Zu/kmhcZVGbClm1ybjUIoAzufg6Jw/YjrATwLODPdrTNZYlO9PVpL7nsRvhdyoWV45EgVtI9O5YkuFShl2T4xhnB3fEpVd3lfqsw98SjyuPHyITOTfVorNXqxoqbAi913UYkboqSiMsBxIM//kByr1BRp36SbUmWUG8DkGUGiJIkyJEoQpyAvF69l5RAyA3kG6tKELIFj9aKkOYfv2tqVEv8VJRulpCCkzF2qSC1lZpN0xrgAPDWkE4lbotqLX/jeP/3cfd/zra9cH+Bnl7ss98NvOLUyvOHYxYiar12porRYRJ6iVVn2Kb/nbcc5W2Sf/9lUdxngbndhRpg7G7mmSiDPGEtntRFpDXhW6umai7NOFSdLVN69UgA7a7517J1qbk2utzNL0DF2AW4vr06MEER88t6ALz/VQAYaXwo3fzuvICza6IqKv/FsZlpWnLO4zIOp/sDjtmv6vP5FHX7vkw3CJKCbSCqJZRiTrlzlqj+TyjkzdkE9G5OD0TLvtMrAnSiJUsYxupTpaIlie8cC4CVgS7sugxeyqYQCMYaIPKPtjk92XCgX6uXHSKZ39xwEgW+Yn15GDus3dNTqN0ii+9Zl8ENHzzA10Xj1Bz5y57fds28ZaxU2zcBKCTqtA5DCsbUa6XofZaXiA6+/NI2UvmYZSwow5CngDOSl0QYZc7stSLLXpAxO3oY1wuJpN4ynRsHtximMMXfas+mn7W2ezhoO4tI9IiTiL77YJLEBKs9elgPMoq8xczZGNDhj7XpGulEaicydAoHH21/W448/NWTVRPSTCv1E4MXkLC6lRcYiLzpzduF47ZGksCZLtSBGkOh0dINKQa4tyji54kbtuQpGlz2WeWlyYVGWqzuLMua8KaUE9GdfzwtwM7biZBdnMR8xBX7aMCOEpeIJttfOM7lx+du2XvaGu3rt05+tNbeNAtwkEVE0vDzp93d7UY+g6jEipaW7+PIeu7GSRsoNqM+G6Iy1UyO8LE9yoI+VZ+ZafExzZqAvz/ZQShRaPK24Gxl2kwJbK1E4Kbkd6DruXWOyTZm7CDB1ib0DL+SRI5LD5ypY5aGkxJcGPV6nURLg4y5Kds/b94wo+dUO5FHssXtzxNWXdfnKoSqR8unHgooEL7HoWKTyLe3CiVMdjnRyYeRPlur1S+M5MjYv3BVX75LNkVSp9CvAndUC2bRMIGNy8tVDlMCNyCZmPYtMGfuMLo5Lk4ElS3Wk36Bcmm0giqsMhzGqZnYPh+HlcWQ+u4bBhVnBREOm6yHzk9AdurncGYuLdDWROahtztQjpZHrobp09ZalSc7iZaCXwK3ymu/Cdiski3Dd86IAtwsyRd4trnNwyxGAl4f/uG57cmDn2cqcuRN87RI7risowhLx4S/WWFqqIgLtfPfyRTheg1I+JCWL0JhRVh3xpo0LomanJW97eYdHjjQZJhV6yqeaOC2elbMqSQrubK0wqSeeFZw6Fh9nR5NOOyhPpXJ3iTLFXPfsuQO4TL+nydvmsi7/bC5OIVVKDD423FNkLDfmko9Xq46XUo93hFnrZpBfWvboSgP1FeJokP/GHOD33vUxAk9y+HCbYawwWYGYGAVkuUsjh235+Rig18C99PvWPJYBXWbxkfFiBWPLMoMrUWLxTK5IlB4FuK/TAUBetnVgmuHUFi9PxZv0eTJy18p17jxzEj50Z4Oh9FFSpdnL0QtxPIO5/uXOCCNlborJnQJNkGje9qoBf/CZHk8cqxIpj56U+IlJ3SOBTGzpOFnXXibKdGPSvzW6b1GZyRPjzASTsXiSjZUwTgrlfZvZXBaRX9DxmB4XlFhcjL4eBfg6LF4qmX42gGfHLbsghLA0G5bjp57h4afOprthlAD+9JGTXL17e+0v/uJXdh08f5pjlwTzTS/t3HZXn8yWkLGU87pe/tiJLF8gOWuXlqzxlPZaiVKMhBsfhyxLjJ0FmdnUJq2zTV5T7a3GwJ2l772sMdm4mSF5i1jW0xmn9wjlhRw+q+mEPiidyhM7Vh47fuGy5riN+r6MptJNOfGjqXuCvVsGPHE4JDEBfeNTSVzNtk41uBJuI1eXWMrY0pAFmQWTF5WeWf+jzgebpvGVcS6ZNqQdRBZpigkB2XStJOvuzw2AIrjMA8+c1Ea1+Jr6nGexEZ8N+OU4zvcMG2dWSUQLVZ/d9f3/7N/XfvRH3tHzKpc7gB84eoGTZ9uvOrk6/6OHzz+DoYZJs5dF4PA3cfTaDzcC6vyLlkHu8jllIBTALvoYVYkV1chQzQzkFDXSqgTq/Hma5FGkXrgDtwNwMRTIK8uTMnurtK/TD1nuGP7HXzZY6lcQgefkibQjq0oxOOdv0JwZK6XjiG3ZTUlT93GsadY0P/SWDl94pMnS0CeUmr6U+GkPZTHyIWXwtK6HVBdnZbQWk4LbjJQwZ100Op02lQXpGdiVFCmDO0mU5C4KuUwpdHjRTljIlCzwzI6HHT02X+0gpVgaR16BlSzRJZhqrrJ7b+1HGe67Lx70/gpSBn/w4QPUqj77nrhIa8ljfpI8gVLOxq33Ob7qZysDuvx6jN0KDS6KDy7HJcroYJoc2FIgVTF+TJVAraVEp5JE5wDPNLfJg0pPmxzcns7qL0bZ21MRvh/y51/0ePpoFaSHlJIgK40tWZv5HvHpl3zWakIKNs9HJpRkSmxkusmTx7W7e7zxRW3+4DMVjA7oS59Aijzpo6QgKgV040wuykxe7sYqaVqjQFm3KrjxH+SzHVU2KTgfK1HMoikm07o+TiFHAZ4RZZnYGAF8GTPrSNsxJhVp97aRLiYEyWqn5hrGucC5009jE7cxhAa4YnNAtRLQW/RYPmOx0h39DGhlrZwvD8+iLYsPUfzjfJBj6b91W2eIddm7CCxFweY5Q/5NAJcFwPNETwZw6+Zkp1LEU4Vb4pWGAxWa27G3p93UqpWW4a+/1GCxFUAldU9EKRh7FomSfc8yI+UgH7ftyn5vkrkpmqmm4htf2uPjXx6w1A0IlaafyNSeFKl7I4pmbFmwZQZsV8bs3jI5mxfd7jpzVlT6XKavpRuemh33MsiFFKXu+2yIZ6q7cz0+yuakq8woAWZgKWU+7RjWrDM6RHYBW4sRjhDCWHFpaZJ6OMfkzDxJMnQAX7hwlJmZyZ33P/DwDz/40CK1iiZO7aMRDVkCs1ijPdYCfeS/WY+5ESMMPsLeIwcrTZyMAHt09ne5w8UNd2cU3NnOBhlzqxJzr2HwbNxEMXJCK5e5PH5CcOhkBUOAkDpvzi2qB8vxgyi5GsUBKdeiFEwuSvJE5E5G3m6WaLCaK3eE7N40YOlAFZv4jsUTJ1N0ycUpgrtyoVcquLMyWkhriEQp+CQd3uSAXY5tlHEXjUk3NcgTWrIgoxzcRuSsXYA7a62zOX4KmWJLJCBG8FNmhRzsOTEWF5CxEMaac8cuskNe+cN7rnrxY088dfiEbjY6CM3GoNp+9cFz52gPa9R8U8rGjTLvqNVTArldeyGs0dwlqZPNCoGxofUj8kSUnAlRCjYLQDsGJx0FXPbBy/d0S2tVBncJ5Ol+9V5aGpqxt0pfax2hVMSnvtLg8GIV/EKeeCXrcuSCZe24iDWnrJwoK/eylnc3y8poQ81lsyGvu63HQ8/UwLj66L6UeEma3U1GpVIOrHzdzWxDmbaLlRvD0+cyfS7TVUVm93RicLpiSJGyuslWWJsTUx63yew4ZC114135WbAp1uJrja1Ygn9uUpQuGmB6wrLUPsJq/+ZXn1sYbgyH0Ql98LRkZlLy+FHFsTMwW828TTGyzI4sFWOAXgP4MoOXPtj67oLIPfDxAC0DtFgH2DmbK1Fqwi2BO51PWGzbwVpg62JAUD7iTZsU5LGTJyqiWgv5ykHFX32pTn/gQ02jpcATo9Jk/POPW6xrOWlMf49ZhmVfPIo1Ew3Nm24f8Jkv93jwoI+te/STAF+QX2gq//sFe46KSwfyMnxc8JleYMqxeSKdHjcl1s6CepMGl26ScKa/RSnQTUnKOMmRd+Bn4M9BmtmZa1f8MugpfdpRXNmS+eBqYfZsT9iwK2JyPiKOInRrxbUMhR3BhHY7hWkpCkZa84vHPwjrLi35lfa3lCdynee5FBEFqKUq7d6gRFqbUoC7AHlWNmvRuhihrNNNmLQaBbqXs7W7K+UCTN8PicKEz9xf45lTNfA8hFQpqNK5IaXgUsixC7m8gpWQnbN2VoFZymQWNdAy98STRBOGmqu2x7zmBV0eP1FlGPsk0qNvFH7C2GcpgYe1ILdjnwWVXWwGowQqS6ZIgVUumMv0eL6iSpCmNMvQFKuGHI9Hxsktx0fJ8XkWosyLHNb8G4Ew7u8l0mL7Ak9NEGifemCIBOg77/gMWiuWV9psnffypXNUZow6AesGmWNslV+x4+AW64G8BPASoAsWL3YgKKRJySrMGTsDeDE5NZcoKXM7xrY5U+v8sXjupcGlVhGBH/LUScFnv1yj1/eh7iFFVjlIyR5cJ4tZknjlo5XVojh0FZN1x8tni7kmKu/2aTRCXvP8IR+/e8DjxwLQPgMj8VMtrowray7buyIhlwckY8kLVTg5WlFIF+nYPFtVsiDfWAd2aYpEmzBlNyU9r6bE7OW4QIh1SM99nmcj0fVk8bhCAMvACuK4ycpDz+D5p7E2QXuijUJQ80NmJjz6A7fz1fjYrDVXVhnk5SVl7EOUP8goyNe+zuVIHlSOM7jT2+VsplJpMVhaUejaudLnujwffAzc6d3LptCmBf5axe6uIzwvIrYJn7yvyj1PVaGiQbqGZq9UwjtSGlu+l1+scxuZqU1WzkrejJzYbK5JAfThwOMl1/Z43Qt7PH2yQhx7WKHoC42XkH8mkRQsXnyE9Zm8PMReqYy5HZu71240dqbDc78/Y/RstU0ZPB/aKcT67D3yOmNm8ezAzlyXcfCXnljrdhZp9wSdiz2MDRFY9NxMnCZCLIsrgkg5kBlbPiDl5WIdkJeXjhJzjwN9JHrOtHeprau8s8AIsEekSjlNX7qrMXCr0l0Xm6BmgPZKoM6cE+eYuEelInwv4rETkg99sQH4ID2EUHkXkUo3Ui1nXcuOUCHexBjAGKndKZi7pMGtwCSudc9NoVV5+t5azdtf1udz9w/Yd9RNEoiMopeItOArBV1iC3YcxUP+Way1jsVLQM9+qlLQG5nu55MFxZn2Tn1oKdxjfg5NaWBnOZ+RWYPZzzIGXm/1z2tYytS5FoPZ9Zrt8xRF0O4PCeMQKUB//tGe+0exK43UaceTkmSm4/qgHgkC1ursMmsXWlzkzsK47i6kikiTBYX1lAE8n5NXBnnamlZsNuV2digG4BfgHmHt0mPWWJtJFaViPC8mSmLuerDKk0eq4HkgXXDpC1uaHFsOrEY3cRol71Fo2dKTvNS4XC1Xri5MJEaljkqiGYYe1+we8JJbHYv3E8fiQ+EzMKATUciDJLMLU92ZlEmr2LVu3LpUEqyySCtQFpf9tAJhRVp0JwqpkktLSuydntcxsBcsXlrBc+zYEexQwtQo9rLn2QcuLpyZiYQrdnapVmOMEegLlzwsAiUiJv2IZr08Dqy4bNYHecnTHPt3ovTzsu7KM2xj77spTeU9YsbqTwT53jv57sVZ8+1Iw0OxdYlSY+AuDcXP3ROVoHQJ4KlE8XXE4fOCD3ymwTDyoOal8oS8NU2VdwnO5Fguy8Y0y/jNjgK9LFPKmwMYu54W19QDyXe+pscn76lz8Ky7+BKj6CXKVRkmafInTZ6IROR2WnklsRnQSwB3FaPugpOpRpfGYtNzZKVwADelWCljcpMZBKNyJGP2HAcjCcR1ZEpZDo9gsfwgRi4MpaBaMWyYrjDRSHfa/sP3/tqGDVPef710/tSVgQeelw5ZL8uDEkuVPWklC8Yd18vjGcZRuVHew1Kmbkg6FjgdD5wDd+yejUwoe9z5oy50t3NQRsFd3qunKKZKd3/QUd7M4OmQRIb8wSdq/PFnJyEIQFVQSlNTlqqy6TgK8gZnr9QaV2RSy4koSTEZlpEAtYglCtsxu2iFJG38LXohlbQIa9i2MeTsouThJ31iIUEojFAI4UppR4klXXNHVmSRaxJRfm1LoiYFe3ExUDg/MKbh0z6B7L3MobGsjTdM+b3Rga3ZHMPxnSLKs8NN+f1y/bgVdAeKxtzzN85uefnn9flzZyZt3Htto2LwvLEeZLGWfDKmXm/JyIPN8rIzEjWPb1M3+jpf6uT4BTXazFt2LjL9nUkSVdLeKt/pobQRlbJjkiSrFMzYO8LTEYfOST74hRpu/opj77xzP/v7gpHxwkXzxmigKcovcgCNgcOUT3QxV9DmDbdulIJJFIlKtXii+eaX9/jYXTX2n/FAhlghGSQemrReJDvWSQrPJEv8ZFAtSSfrXlvS6tH0s2U9ANKCtE62ZLpbWvc3rEn9cZMGqCP5DEaer++qjb0/HlSOAbF4PVpPPgw1K62I+nTvtcPo7KSu+AmNqmVuyiO2ijg2bi+Vtf/tyJW/7hIyzhJrpEn5cTypM6rfRmrA02RCeR+ZQoMXWwVmO6upMXC7iawmfXR2oFIGlfndKkbJGJXKk0TFfOK+OvsPF9pbCum877yDhnVPoGD8dYkM1jkl4w3II554aSKVNsLVpsgihR9GmqsuH/KGF3Y5+sGAMFEgNInQ9IVAJ6l9RxboZo6KGOHjPAROT7q1AmXTwg+cNLHWplo8vQtbpPgFGOmAbzKZUgouy2AvryjjhXzjQH9Wb3zkgIqcMIxxW4B3epbmQkiYDNBb5mNqOmbhvGWpLRkAJt12eQ1zj10+a22dckRcroMY/4JrEwEjgcoIwAvWzl5nrJ2BPWPuHOiqzOSF7lZZEJltcSINWhZD85VK8LyIY+cV//OjTQbSI5ugVXTNpytIuQa69D3W+ljr30aX79TNyJsQSrUppdR9uT4lMZo48QiSmB98c5e/vKvG0XMaVARGEwmPvhCopFRWWg42x0CeefMW0NkFl74nrTvmGZtLm3niZoTNjXAXlJGuECojsLVmQgr8r8Li67H3GhYvfwMLSeI20b20HNJcjohFjL5/f5dLC12OHh2wfdZ3S4hMwTpe8F1ipHWzSqL8Yco+d+n5SJQ9+rwMbDHG2lkiZRTcppAocpTB9Yi/nYJ5xO8u3aVjcU+HtEPD7328ydlLASidWoMylSd2xPfOn4+fqPGL/KsBnZJUyRsPyj2aWQpf5ve8GUIqklizZW7I976xwy99wKcVuYDAWsnQKGcbJkXNBomgUNgFRIr/dz9RKWqsJWVux+oZm1vr6k9yBrfuPFkX0zo1ljP4eqvduJQdk3RjTP038UZW1yOE5Ia9HZ7znCUmJgW626nQ6wT0uoJ+M0lrUIpCqHGEjy8h2XvjS03ZC89+V75ssQ64ZVmilFm7mNIqZaltSpQBXWJybVJGN7k0cXLErJEqSsX5o1YROoj4yCcD3vPhJkPjOXkiVC5P8qbiMUtsRHeLzA0QI8ft2U5KhqvCKiyDPkvZW4wxeXYzT+EbtxV4Rcd8/1u7HDrp875POC0OikRIBsYFnDIhZ/CiACs7WeVpCIVd6cBdSBa3ZaRNZwemoBZpMJwmqUzp2NjS38oAbTKSo4SLFPBrbeZ1wP0shJEd/2pgqVea1IMpGpVJ9O7NPhOeT2/JG0mRj19BIwAv/dGyJMk/LGMnPi1DftbWtJL8GGVyWwoy0y26y1sGqrLrYEpSJQNxicllUR04+hinvnfE8gr85RdqrAwzcDuAe9Jpby1G5cnIZ83ssjLrrIPvstbOQJ7FOyNVfaXd6cqdPnmduJQoozBGEyeaCT/hza/o8bH7aix1FMgIjCLC6fG820eU7cLyB1yfyV0eqEgKZfUpWbBpUxbPAZ3pcMualTq/uKxbTQptPlqPUsbSej74OMBHEooWzi0E1E/XmOxU0RVfUq0oahWN1nLtL1hvuWAUzONRMYwBfN0lqgyQdYAtRqXJCHvLtZKkeK8M7mSEtQvmzli7YG+vFvPJL1V48MkqpqS9XVNDJk9G603y1qwSe1P6bmUrfH0ST9kzt8QKiTLeDFHehzSxEmULXzxOPLSJed61Ia9/bo8/+pQPKgQhsUIwNBolhJscRimDWJp0MKJoSz64ynokMh2e1c7IUqGYdDNeyufPWgdeK8cx4LT5KGbKpa/PwthiFHfrARzIs5m9ocUfgh5GljhJfWOv2PWsfA7EOs9HgDwG8nHAr+1ySf1dSrJEFoAZZW+bW4T5RqUlgEtl0emIMSlTx0TaVFdn4E4Kx0SaYjc26dyTwIs4ekrygU82uNDx3X7X0g16V4Jix4axeGGN7i6fpHXYe/w2kugpMfvIHqKlYNOOdN27/XPco9v+ZEM94bte3+W+JwOOXpQgIkBhkAyELG0ilYIqBXVuY5YvuDKf59nM9DyU2Vy45xmYM9mSrczuZ9ns90ymFNnVQtKVkz3lysFy8me0tLasKIpP62bT63STA10NBGFFUK+69TVJigM9bgWOPLL252UGlyOALi9Ro0t7rrlzLb6210+p7PUYyPMZ2ePPk3xoZMbiWpZ0t0zQqS3o+xHDxPA7f97knkeqrrdNaqe9pXRdO6KYv5J/1mxlGV+txpi8jPM1J2Mkg1m4FsUe7+Xy2XIZrcHm5bSKJDHEUqNizUtuCvm+t7f5md/xGcbSZaCMJE5dFVejnX02mwKoxGjWtaRR+nzutSjFBml3vQUrbRpgivwCsKnWds5KqQHCriNXGMVNuRMpy1Jm8dwIya4jVZyTYhmGMf2BYRAa9K4tA9qNAYPVkAvLGmNKF7PgqywXa6Pc0azZKKDXlydlaVKwt8olSyZLTCnItGsYXKXMnU1AHQkuZSFLdDrjOg8uZYznx3xxn8fH7qkxDD2o6lx75+wt1w71WVMSW5IlZUCPlxqXEV4ubMpnf4yAG6zKqgxHa8UTI5HGSZUM6HGsqdZi3vySPnfe0+dz+5SzDZEgJJHQ9DPyAYQVSIqCLHAsnJfyllYZS6kuJWVmK0Gl3y97nUmTDOjZ+bWiqGyU6f+Vp5mNSJMxqbse/tYjWXBTAc4uxDTOR3SSBL3U7dJud1hc7dHr1xyBCdaMcyj93vU/SJm5Sh+8qBjMAs5yp3WJCcc7tGXJscj0b76feuqi5MmdDMimxNwloJeGuefaW7opsatdyyfvq3HwfMVJE+FKYkWmvQWlCVJ2Dbhl+XuKcUB/FX1SYh2syC250Xt5jPD4cKCiRkVKhTQJ0miioWbPxojXv6jLg/t9WmGafjVOj4cosn0gRsFd0uDpZ7e45E5+QUrntqi0pa1g80yqpAkfkdaQ50AfBbMRzidfL07LVpQy1jI5tV6yZyRxJAW1qmRqBprTEc3JIforjzdZXBxy7HDAzs0Gpd0+K2odgOd/sMzi6VI3DvpRieI01Vpg2HWCzNGZG2UwC8FIcCnzwewZyO0YuNOdCUqPGbg9HWNI+MNPVXnPRxtYoZ3vPcLeFNp7xBpcC/RRv7Z0Mr4Ke49U8jGuv4vhpuOtbCZL2xuDSSRGOl9cSUOUeEhl+P439ThyzuM9H9NEcQFyg2AoJMpkgyRScJdb23JQpzoDtwgUb2c6nALowgE5K0KVIpUqqV/ucFBsJFvobXJAixKrj7K2+3zj0qSMTSVdrtb3JLft1TznOo/JKY3eMiOpoOkteQS+TIuF1mro4uSNgXnsj43LExgHti0le+zoYy4FbM7sxWZLbu7GuGMiM3CrcXkyume9SveecRo8wvMjjlyQfOyuOt2uB1W1lr3zmu+SsyOKBM+IHBt7noH8b+JwW2iAkhzItLgYcU9s2nSQA11mQHfbyiSJQUpNFCU06jFvur3HZ+6tcuR8ylgurCcRgr6Dl/uMJgW3LcBuc1Cnbglp8ifDQe6kZKl7x94qBbItnW8Xzznw2nw1LwWZGZ7sepgTo5gr/V+5qz4rMxiElnMLmqnzAdPDCnp2uoqkwsq0wvdLmcQ8CFlHB43rzJJez/zMzA8uurtHmXuExUesQZuPA1MlFs8mmirlJhkVg9lL+ru03YYsyRIpU8ckZXKtY4aR4c4H6nzh0aobDi49B/Ax9s4dHCFGguFMS46nn8djl7/NLWfzdSrvjHE2XCZTbLoVidPdppApRpIIiUokRiiioeYVN4S84nl9Tn/aY2icDk8roYjRDARIU9q2SojcBrHpkHeVn+nMUUmvFUEOfIQoyN66c2pTyWDzY+OCx8y8KDBRzmgWTF9grWRlZsAu/dsch8KSJJYoNnRMQnegqMUeevv2rauBHnymt6z/SRgn6fJXyrLlv/hZNPg68sSxdrbsjOpvSbHEi5LuLpb9Yv50AewM6EXZaNk5kXKt3nY2YVJ6HiOl69SRfszd+3ze9f4JEqsL50QqhJBuHyBRpOVHGbwEcsm67D0C7q8G9LFkz3jKvixXDNnUq7QYSxSOSq7JpfPGhdHEscH3E37su9scPKO5+yGJ8UUKWfcFIqPoF5BJr66UDpUodjJIv0jhhaerbfZ509U20+EiTdkbilESMsWKHQP1yHCgFERiPZWQJ39s6RMV154rtnLtlgiJUJXPbNy4eVW9+dWzXRNfOFqtmO8TNiKzZLKra0R/lhMwpceixLXY4aCcXi+6cGypccGO1EAXlYFlC7CUyCkFlHlBVdk1yaVKMiJVdJ61LHotzywL3vWBCe57tO7MUumnJbEeWgqqEgJJusmVXVu7PXJPG6DzITmjw4iymnepxhqmS8eveC1KF/1oSUD5+GbyrWgJK0m98s8szM7EBNry4BM+q/1SbUEaZmZTxIuKw1QW2DLw/zZXa+lCyC6X0orkXhdWY35hl7Z0X5vdLUmg7PqDtaucdZv9hZGl00+ITMCxkwvfdd+DTx/Uu7YsoyT0+pZTVhOvKIxJ/2j2F0e09phsGQk6R21Bsea9UQ95xAMf2RZjVJrIcc2dsXjZPSntBJZnK2Xme8f588RP+MDHJ/irL9WxFQVCOXQKjZBypN+y6G/8Kh3z+fcUowdqDBflt8dzaeOAyMEw5qyUO3xMOj/QpsxtrSlqVIREGkUiNLKf8OaX9nnmmMcvv1cTBvGIprTGY0jaXWVS/ZCk2RqK+vDse1jS7GbK7hnh25S1bbpy25QcM4nimN3mKXybE2lhJ+Z4cr+Acvp+3SRj6fgZC7GxrHZheegGFQHo//YhtzNxswqXb1DUfLdNRGHPjEqP0T9Sbgx9FlCXn48BOwd4NoI3T83bEamicqlikGN7xhT3pAT0MrgTZF5zkvC5hwLe/+k6gySdgi8yazDNWgo7or3XTc2Xgc74Bb02UPpq7GfT4C7f3QBGbULsmhJaK0uZTVlyVoRyhVkyLc6ShsRoAs/w3a/rcv/jPp971NmFmTeOFBirGRrXjkYG8hFwi7xWNpdSQqBSyTEC8qzpIXNVMoC72HVUkwsQdmwSb37sbGHuZKsKzw52txIqdm0e8qbrW8zPWqII9BMHpokNNCsGOxDs2izxfeMq0GTpw3y1q2hkTO6oi1L+MqMBZll72xKDj+pw54WPMXf+uA6Ll9lbJkWAqSN6Q/iF35/g2NkAq4vdkke0dyaRRoA9BmjWAXMO4WcJWNYB+cgmAqVlOgNRUXxV1uNra1OMTCsOZZnFFSIxCKGRoeGyLRE/9c9b3P+fAjqD9MsYmX+uBM3App9RlmpgswtPAiYFtSV3WFTKwFZStKGJTIfbtEZ8DOglkshIMg8uS4evTJ6U2bwE9HKrZLMm2bGpzg07NfMzljAC/apbtyClYjjoYuMVtzpR1F2PS5Dssiqfv3GJ4lyUtQAfkSljckSI9SSKKSV5TM7ko+DOnJKS753tzpt63lpHxAn85kcaPHqg4jxvmTF34Zx4YlSWZI/j2djxkt/CPSk1Uz8LX69h8jHnpGiAoChmsq6YaU21oXAMngedRjqQJxIj0nuSShVjuPHKiB/6pha/9ueThEnK4pBHhQmKocm0eCpTSiBHugBXiVKlikiTPqbE5hKEyfxwd1yy4LJw6LIGibIsGcObFTnGxrki+zcm9eSz1b/bVxw7v4OVQZ0oTtDf9s2vp1qtc+TwM3zlvjuoBQbfd90wch29XUosr/vH12PrUUZfX3OLMVlSPB/dn7Fg76Sky0uyZOSeBpaVhM8/EPC+jzRo9T3nAaaeN2mTrnNOiqxluWCorMOL0WzrzCAcCctEEbSNA3qMtdfgfQTolnICqGDtbCqsTcFflirORkykQlrj6lViRbNi+J639nj46YA7v6KgFpMXjqTrfGxcV1fe1paCPJcrIrMtneedqRcrRJ7ptKZg6+wuUtLKPfE1koX8vTLWskRrBujMzczXS+HS81nB16XlmBdueQ7XXXct3W4XXat6VCoezbpkdiqmXi3mPY+cgXUoaW1KFQovs/h5WXMXeyoyIk2yLGUZ2OuB3D0ma/xurRL335SqBKWMkTrmwAnN//xQkyNLvmuDFyXtnVYMeumsk9zZEOsElaWlc1SajHUzPcvxyn9YSuzkh3hMdxeuQaksdY17UIA9L8SyJt9UVmRSRVgnVSLL7umYH3xbhxMXNIfPCqwuCywB0iNJQc4YyLPVW6UXQzZjO682wPnemWRlDOCZhSixaVJHZAvfmjguA7KwY8ct+/elJg1wIyLC2GCTiGEEQmosCl3x3ZbVE/WILbMDpLaYRBCbbD5HsdtV9oeyv5Xr7xGQF6B2x6EM7IzJR0FeZm0x4pwUm46Obie9XjLHpFWCTppIGeMHMRdagl94b5OPfbGG9VSRjv8q7F3Ufa9NyY8HRONJnRHdWBaMpX8zwtpjYM/eW1uTUtbhGaBtnuG0mQ5PGVyK7HkafApDnBg86VyV1lDyo+9WXFwVEIzSrUXnTD4O8oy9C9bG7d9TBrpI29kg786XZelSxkrO3GIU2OXjyRjmyisd2c5wFmOgNzC0+64EfBhZdOCD8oILMxPhZ6/Zw6tXW6usdOoMhpo4cUxgx9fRMqnnH8CWrsJCmhRNucXWclKUNfe4k2JGQZ85JsIglXFZzAzgpUyllAlSxelzV2sSYvjEl+t8/qFaWmuicmCPsnexa3B53mDZLVlTFlvS4qMr2Pgqtx6qR98bdU5KqXpSbVtuNEiZW6Zuipsh4jrvhUgTP6mzImWpZkVKRFpxGGjLq5474A0v6PHHn1GEsXBp25zF3e+NrWBgSvASAp1rhDRYMw7QWXq/cFVEqsfTJBDkQ4HKfZtF8G5zshjR3oVDuebQuWNhiRMYhIKLLUNQm2Z1ID9bqVQumNU+6p3v+h+89a2Xr3aGyer55e63mvAUtaDKINQYKyhr6mcrFx1JSuSvRwum8kRPuTNHlQunxrp0ciuw8LzXY+5yR3yuu3VMIg0fv6fKf3nPBMfPB2kTQ5HQcTUngkBCRbpB9jodA5fNFi+SOcVoOGcfFgmwfMqtACkl+bYqYnRIv5vUJUcTN5lTN34vB7TlGvT8fTtyrN2UgiJzvN6KU2QCAWOZbiZcdXnE6UuKw6fcuR6JANOr1Qrhut/z+KJYnkZC6dIyluaJRpavZ+HIEdeonNnNH23pYh8hg6IxwxhY6QuM6vANL93A9i21f/fkgacfeNNrX+n26PnsfTWCIOCZQxMEZpLX3uqjpIuwXWBgeTYiyiNeYHTY+VrGLoLMUYsw32tdUMgSWWw2KtOAUo4ElAVzZ8DOHj0v4fii5H1/WefgkQAaKndL8sSOlLk0yfssGatNH2fukYu6CHZEelbLBD5ei1IE6KJgoHFGQuCG0Y+e7MxFkRkYxtL3UoAxbtfhzBsXqT4XotDhUmRd+ZpoaLnyspjvflOHh570ObEgM9+u5ME51ySWIrcQbRpwZuLYirRBIquZSVedLMmT3WXmtuC+ByPsnS8QefHiqOyzI8cphVcudZSATdPwguckfMPtlukZiGP37zTAbTdeS61WRQNPPHqJs5cU89MJnpfkWvSr3UazUOtsPCSsCyzW870FiLIsKckUlUoS+SzgLgLNBCWcNNE6Ybkj+PU/bnLXY9WiSjAHdiFNfMnYGOSiS0eVwTwWAI17tePyRPC/dit3149UFdoyY2XgEc5fzmSKKIG/lOmUwrrWsHRAfGYbCqHcZSQMSc/w0huH/Ktvb/Pzvy9Z6aefI0OnIS28UsQIBqJwULKCLCuLz6QgDTLd69KeV7lEsenPMgdFlmKWXL6UAL8uq5bIVQjwPcHslGSyMkeldh1zm64jDF0EIQEu37WRW2++6s6abr1rz8566n9nm5tm06FGu9hH6ktyKbHW6lPC5J03hQuSNfA+W1ayCCqlHMtW5uB2GUo5ltAZCMvvfLTOez/SoBOlhVQZwFPd7Wb3Fc5JuagqB23G5uVAqMzU5WCyxC/rbdD1twH3yIzwEsBH3JaSXVje+qQIOscn0zrGztrbsgGexmaDgzQNDd/31g7f/+YOVRO7og4Tu7uNwURgY6yxxBaGBkIjCI3T6LGB2ECSPk/S11lHUmJHtwl3z4vPm/282Gku/Xe2+PfjW43Hibtnr8ESRZYLy1WePNB61/T8lXcGtY1AWg357nf/N66+vBF5KryiUQm/sVHpU68m+J4bGJ8FgOsmPEq13NljlmrPiqlGdXmmzc3ai6Pkd5cDSpn1WZaYW+ZJnqxKMEZ4hieP+Pzi+yc4dSkoUvHZfEGV9loKQUWmDC4z3V1o78wuLPowy0VRY8VSefHU2AxzkY3gSLW3LA8gHdPbsrxtS0mDy9JWMrnjVPjz5V0css6pkU1YR1bSVKvnz1Mr2FoqvmF+KuG+pzwuLijsSPSc/l96RZtck5euYJHJhWIZs/kPRllg5GJlbICFHX1anlduKLK72T0pXxiJwfMDBsPkj+/8/N1f/sY3vB4o7VV/+8tfjdYVLpy8i9WLp/B9Ddh8MyRbmrI0RlrkWc4RF+VZ9Hep1mRcmohUd5f1trtQklSqlLKUmXOSBZZewhPHPH7ol6Z48nCA9WQhSzLtnbJ3PudElq3BZw+in02mjIRZgtIrwf+SXBk/semT9VvYnHOQL/f5NKx0FwbhLiRjpXMqrMVYicwmZlnnpghh09JSiwgt118e8Vs/usr3/aLgySMV8NL1PUvfZ8uJ0cSZVk9nr1lIU/kuY6lSGZL74KSSpSxJslUSUjOjuCiBbJ/YNQ6eKa1cSVoagBAstEJuvPkK3vLGF9PtDvjF//ITowCfna4jdQPRj6jbBbSu0h969IceYaSJk6zKXaxbK17sSz6WscwBXk7LF8AezWAWoHaPKYOXwV2WJCJOwW3oWMlvf7TOY/sDEjWWzEnrTUCiBcWUKsbLgEfdimLH3uw+NhZiBOzp4Shp9L8J4XYM2GWE23Kf5sj7BfOtqRm3bm63Cy4d0G3qiydpHGWETEsqUj1uLAmu9ujGq4b8izd1+bFf8+jEwoE8y6enetz9kgLkWVyQieYsm6nLxWPZhVAq1krRlHvkgtQezGO29bO82U4OsYFhDJ2hpB9BP7R0TMDU9CzoXv7f5AD3fQmePrLY9Y7e+6S/e8/WVbbPVbC2kRbwOHbITJ/xBOe4153VpYzXKEtp1nFPisRO7oXLZwN3+p5IqwS9hJ6B932szoc+X2eYgVmW2dv5cTJ1TTxhKU+oWjdr+WwOSvaly89LaeO1yP7qHL6+k0IBjpION5CPMi4PBpK2AHzmnMgU8MIKhJGIdD93x+wWYaULQEnZPLH4wvK2V/TYf1Lzvo826Ea4A2YyqiUvX8lAnscLJgVw+gggccOG8pa3dJZE9r1GXMmRBI/AZCJHlMlA5Bd5nEAvknRMws6Ny9x0lWDPLo4aERyRapgf06zNjp/9L7+Ov/FlR4+cn53/i8/Ft3/83g5X74jYMOUxDH2SxAUrZVswW7KlTAvvR4A81hEvR+VJOaGTNQyPB5xOgphRcKeJnMzv7kbw+39d5xffO8HFZb/UneONFlRJx9659s5ALjPNXfjeRfA8lraXxVTc/PXI+2sH/Yvye+MafOyiGm8iESWNPpIUGZF/o0Fxps3XvUDJ9Hf5/Ww9cLQ12Uy4+eqQdk/w9FHtkkAjNQjlK1kW6XkoShZG/PHRi3yd3YrWJhIzMIti4HPupad6P7HQCeHqy9v83Hcu8I5X7uTFN+/5zaY68Hvbdrww/1Wy/Ht3bQjYvan2qRftrT425W/mwtIUrY5L+kSJzJfL8eAl19Sprs4dklSKiLL8GAHwV7snqURJ1gW3UgmyYvmru6u8871NLqx4bsiNHNfdipGMZV53XnJOMnBlF+x6zF3yuddzUER28v5XPcJxBrejtqGTKgUQylq8GCtRLN95ecXIsKDMWZGljvzS3ar0PUU0VGyaMvzk97T5J7f3YZi6KjZxDouNi9c2BmtJDIQWhtY5LJHFOSwlZ8VYUXJa0uzruIOS1dhQ3gG6iEuy+M5TlqoHMzXLlqZHHO7gwae3PrbSm/vUhZXpkWOqyi8+8ucf4K2v33Rq6/zg1n5/cJOmhqcrGJsppnE2KKfdyxm3grFFNrhnjdYuGhmK4qpSGl6M151k4E4TOxXDkbOaX3rfBI/ur0CgRhlbFDszZIFlIArXxEslypoWtJIWL3fRi3HmHXldMHnufqTM/WwMPjILPXdkxlldrB03LUsOiiy9RznvUFpdMyZzInfk3I1csLjvgXBIm5gwVCuW+5/wWF6RJaSMBSE5uzp3xYrxC338ii8H5oJ1GaHE6OUcS1bCrBVUfZhrSrbPeVgBDx/1PnnvvqO/+Y63f+/Ir5Ljv/voyk6OrOxisV1lcVmz3PIYDhVJknGUCx5EKUgc1d/PIkVEBuiigEqIMZ9blbxvNc7cpYylbzh6TvP//dYkX3y44nRHxtqyGN6ToSMLLPP+SlEkc9bT3+XXsgSgdSsLycaMZepxFDjjgFvPJclO/MiclLL/TeaPj80sLDVAGCvWMntp35vEuICzGMk8zuZukKcxGmM0yUDy8psH/NwPtbhsSwhRUrD2uFduY7AGYyE0MEiZPE597iRl6ySz98rbtIz4+Slzl1Yrk/mDpeOhXp74wAAALpdJREFUJAS+YKopmWl6XLatzttfO8c3vXpuzbWix99482teh9IqrMR/RXv5KFKWimAoAVqWmGBNQ0MmV8qWYMk9Kbkko+6JKUAvSlKlbAl6hhOXND/9Pyf40J01QpHuBEUpFV+SJiOBZYkFRkdZrO0lZR1w5gAuOyXl9/kqt/IPxzRnuTJuXI9mk6/KGz+N7o6cBV5pgJdmNl1wma4gJbC7gDMLQNNAU1hnJxqLwLkrGEtFW97+yh6Jgf/8m5OcXBApYkqB55rvIonMqD2Ys8PIPy5eu/hVpP91ybBJdUk20LN8HLCuDny5ZemEl3P7c74xTJIE+NdfHeBX7JhFB/X/dOnGnVcfPXD2pTW/TTUw+J4bYjkSmIwApQTsdSxAkTN3ukvYOpZgBuhRcMcpy0dobTi5oPmx35jgI5+rEcp0SpEoVwiWPW+KNjSRSpKS7FhTNUg5gFvrmKznmoysxOUr4X/jVh6lPJLVZJT182Ij6yy29SbTZsCmBHiRtqq5NUHm59OtzAqRZQdji6cSvuXVfbSCH/+NSU4u+IVcMaXvXtICFkmc/Ty1B3VWdSj/jiDPKxEFxCmmugn1ehW/vu1LE1Pb/tPyymDNsVwjUbxKgwNP3tmenfYPbtlgktnJIc36kGoQ4enMpitAXRyocf94PeZeB9ziq4E7c1FipDacW5b85G9O8JE7y+DOEjpyBNwIUQSWjCVzKPvdRYHY6NCjMSmSXQjjwB7BtB27EP62iF4bYI7XpxTvpVp3BLzjwZkoBaCl7fmsdL546XU5pT8afCpXg5IodAJve2Wf//JDLTZNR+kI4rHAM3ttE7CuYCy2LviMUrkSW4jNs8iVcg3OyIVeSJfYQJhAPxK0+oLFtmW1KxNLcPAjH/1se2a6uubQ6vWOtxAgzMoP7doa3Uq8eqMUlmGkGYaaKFYYI0d98BFHxeRMPprUeXbmVjJJs5rrMXeMVAmJht/7eIMP3VEjVDJPu49256yVJmubGL5KxrIE0PXGQ4yw+boSprgy/hfxTd6WlQF5JKlTbluzpZ9lJ1/kSZORbGf2s/xisLkvnhVskWU8TVbLmJ1Yi7Buj2+RWDSGt7+mx8Hjmne9r+kYWqWf+G9icijmKY8/z/9Dm9N23ssvyr/LuTFhIuhF/7/2vjxKjqs+97v31trb7JoZabSMRrtlS1iWLeEFvOEYwpI8B8IJiXk5AWJ4PAyJSRwIccgJ2E4eCUsgJAeTYPIejhccnJBnOxBbNthY8LzExliLpZEsy5JmNGuvVXXv++PeW3Wruns0WoxsJ/ecma6uqq7urv7qV9/v+y2XoBYCFiHI9+T/49D47Af7ewotzy1ttXL1+suxqO9AtGBwQByZncWTe2fhurNw7DB2lEwrk5YN0QbcvAncWhEhhqOZstwkBGUcxALu/6GP2+7PoU4zqa9N4XgJRisGeDqZKp1bnejF2Zl5UyA3fgaTaxMD0LFhyCD7WEA3fMzWNRFZuUyBnhtRZZHaT3W/MhzMltKhCt4lrZkpIqGtu+l0yuQszgmcSOBdl1dw6dYqSMQNubCVhDi3Jc86ninnEs3nQp/HakgwHUVYu/Io+hfMYsWqJeLZl2rRVb/0ppbnt6UFBwCr+9fQaDTwrYeO4nuP7Menrp7GxuVAI2QqWiZUjzqVzxDzcmW9kc4ujLVwA9yU8BjcWvemRhie2hGoBfzzwz4+/sUOPLvHVQXDrM2foia02XrHejcy4XnDejf1OtEnNuV8kvg5DECnKMt8wZ0JY4rMbVqH6+Xm9HyaMAAttFMn0pbetNoxDzcUGCJUDxzlLBIujEQqk35K0s1IiPXLG/jctVO4jgLf/UEOYCHiHstxxFOkLLQAQajPhrLeREdtYnqrWirr740kd4UZ57oRAZvXzOLT75nGeHmoPLhy823MyuFLn2x9jhnajN/7xM2oB04wMVZ74wujBzzBfSzo9FCr2xDqlphEL43ys2x2YJwueyxwZyy3FYHawHce8nH9X5Xw072eBDc1pEBNUWKLLitqHCIb16dK0ZT+nWorp2lKJrsvXW2TiV4ScxoQEq8j8WMykZfWwPW6RBc3MwabZclURDO7PqZM6SzOxP/RIkBGFYJ5kbZ/NAuGU7RM38k4sKA7wobVIfYfotixhzU716ZViFckYf2kRZzcZvo1ZlIbVXdgiwGOJYM7eY/gorMoclYBixa/8SWLz/z6hrPOC9rhmLbbUPQJOtj+/3PFhYumersZpqdy2LGvgJmKjUbA4gxDeeLMhCqjltKUAU2HsiW4ueFQRiCWBPcf/FUJzzzvSSmEmkoJzSzLvuZJ0/qsciKarHcqgAI0gSL187QARMrCZ0/gcfDwJmkQCfWInxtWPbHyJO1QirSTmeSKG+t0806li5t0JV7H086mnrIwihRlCSjWLwvwmQ9N4y0XVlVituFoxnQlMJzPDF0RaZ3c1MO1E61PPqMCjgUUfILVixg6nRyobaOK1ZjFmXOeWzrXRquwoF6u47eHFg6XKSWo1CjqDaqCPvr21So11tDBMyF4k3OnLbfO7Zbg/u4PfVz/pRKe0bQkG8hpIQma4fhWKbDEsNJZjm2G31M0pQUN0d8+Q8hhsHL19NgQz6omosU2k6gLtcGcyzLh6JqXk+RiSIE7UU5Mjq6DP8KYbNZUVeKCCZHw8qhBceayADd9eBpXnl9RwZ+suhIZwaA0yOs8raiYud3pAJgGOeDaBDmXIIgoentXlgt5/LZf7K9jjjEnwF84UOY9vSu2/+ovXTrd1+1Bz51DiKFrG4UKxAi5x7Qlo3O3AzdVaomwCP71UR/Xfb4DP93jJfklJGu9E8utJUFHgTtJhW1uXt/UIBSmc2xYbmLcSuMLgKQvgBTgkV5pjsy6Vk5UascWcmE2LxyZC0IIJK3TUmrK3BFObsiG3GwVkspbYbHjaTqfUYNi3dIAf/Y/p/ELW2tg0fGBPHY8edqKR9wAvbrj6HMWRgLTFQv9Sy6bXrNyZPuSnimOOcacAF802Iee7o4xm/GrNm5YFzhWANlHhcOxeDxzQhKK5ymHkhjOI8mkvWpaYjbLFIzg+z928bG/KOHZUSdtuWO1hKatt+K7cQGxQU1a8dwm602aLXkK5FkO2grVxsXQhOd58pSUEtJiW6p0DUmAJwatvp+mLDtpAnqWwqSUFphhfJJ5pAbIaaKwNAjWLQ3wFx+dwhs318DmtORpdaXBESdmRVonNxSWkBMEXOZ7NQKg3hCYrTQwsnJtMFsJrvL84li+0DfneZ0T4JTZOPTSfgwuXHxg1aoVzw8s8JH3a8j7DfhuAMcJYWuQmxU4cVDHzC0xswQNq02C2HLf/5iLD/95J3aMZi23ab0NK67SVR2Cpqb1qZ7maG29pXMj0g5ODHTDeqexnGA3w9XbgXq+XLw14EkCbm3ZddFJTEWM3A0tI5qWu2UOiw78JFabx5VbJpXRdIUZASFmcHQLvEGxanGAL/3uFC49d76WXFYYNdRfDGxlvQNO0IiAWkhQaRCU6wRT5QjUKmB4eOXzy5YuObB3dB9835rzPNJjnWhKKY4ceHjUsevvW7FiGXpKMxjoKaO7o4Kc24Bth4nlJqbl5oZTKUHNSMZyE5k4JSyC7233cO3nOrFjnyo3y6a8NjmYNPayTd5tETOoY0p/GcfSBGgLpzEL4JRD2Q7URGoEafrYHt4pii0w535p5zJ5H50qCw30VlacN9MV3sTBE308RU+EYcVjYDOImI8rq96gWDUU4C8/NoWLz62BhlwlaGUdTyNpS4E8tuLctN4S3FN1ipdmKPZPMhyYEBgeWY2ZcvC+u7/7g1FKjwlfWMfaYUH/EMKgDGblDpbHgode3L3twt0vTaCrAAx02agHHsKIKQAZ0cwm59J8LguFLTfCvnGGR570ccPfFLFjtA24U04ljZ3KOEtQW260iFiiBYhjWiIyHLuZqiTgNfuekNiapyy6fp2QH3PeQ+VbpAJoWgvOaOVxcEdp3iCGM0mAuMyNJNq5mavC1TGIOoYMGFHFeTgIRayZU06lLk5lg89UZQ/kXTJehsTs6iUBvvCxKfzRVzl+9KSHfeMAHPXhmxK0CISQLSkaQlYA6UokCoF6RDAbcSzunUHRi1ANF2DF2rUPvfXKrQenZ6voKOZOHuAAYNl57B/93q5SIf+FR0fPufDPb/kBlvZT/O67GhjqkYEfRmXAJ3YqdW4J0/klST63BveOAxZuvqWEe37o48ik3cZyN4MbWiNF4lRqWTDh3MKgKiLFveernsC8OHSjjhZ8vAnoGdUlu5zCtgapxHPyXG3TsR7tV2aFlTiUD6SoSpxxSExrnm7HTLhqxiOUI0flejVlGkC5ChJRUM7B9VVrADtZlt+QNgRWLw7wxesmcc8jPm7+Wgk7X3AAV+2fDesLQIAhEFIosNQmRgFLAGsH6vj9Xx1Hb6mGSWxCvsv7wr3bHt71C2+4cF62Y14AB4CDs2tQt0vbQ0vcvWZZ8I4XX9iLHXsjFJwArhOA2oFKWMpMJWJwbi0DWl6EXS/a+PRXS7jz/hxqnBkOpdGkh7CW4E4UE6mWNDfuMXl3JmOwhXKSSqAy5L40QDPrEqmlmdscC9UtkZ7s3+RkZmQXs72y9koTa64ADNVcR+PVsOIxoJler9ojC6pysEUCbq6QSABCubT2GUsur+govgBZGKG/K8J7rqzAtQX++Msd2H3AATz17bhIIp6QP1AkGAIBuEL+ji4T6PQE1g/aKFkDGOxbgq2r19/tdS7eDkzN+7TOG+DnnrEIe/e8MPqet2z5SP3Is+zw4MRbHVbDbLUGi0WAjXSoXVtrkgCbMZnPvftFGzf8dQl3fi+HGmGyGidlsVsHckxwa94dT9SqUgda9fFry7dbPhJQA7TtrHXaAW1hsk8Y6QngY25OdMKVSrYyrLnpjCaWXhf/ppWZGMwCMm+cyzscF8aVxSko5bGzKXeQO1IBiFaWnCYSZdyhtk7gWhGuurQKCOCGv+7A8y86gC3kD5a9SACEYAjVR7EpUPI4ghrF9p8tQOguuWfNeZd+ZGri4L7O7hXzPo3HwxSxbHgIO3f+ZN/FF216euMZ/ch7jaT8jMlJV21Ldna19ORPLFBzw4dgLsdeXaxwfx41qHlyzEr4GMxzg9smIpEFDXUkVaGDxHKn6y3TU66kMNqCdph0pTkkPQfg5wFi4yHO/kipJub2eH9iFDrobA7D0hvHTSUwZbTw+KJIJWMljinX6bSGoxmlop+J4ymtP0sFg8KAwRPAOy+r4oZrprB0QT2p8eRBEunkARAF4DxCjRPUdQCIE0xMBwhJFwaXbnj60ce27+vsXng8kJ2/BddjcLAfpa6hm4LyzuXTYwff5bBDcJ0GXLsBx27AthrxnJQktugcgRD40VMuvnJXAbf/Ww4NwlQz+rn+5rbcMS2hBtBhcm2RcjKbcr3bcO+mnI0srufCb5bbzHOkAjukzXZi0BPDKYVBReIwf8y5SepiUb1+4sQt3XQndlpBFHOgoILL0D1V5pZzUKpoDHgyx4++xVHIYgn1nFKCMIjgWBHeeUkFiAS+fGcBjz/noc5VGpTgAInkn+AIhIMZwuBSAqfGsaC3C/2Di2/bcNb6m57f88Jxn9fjsuAA0N27BPue+79THd3Dv9lRog8X8yGKuSryuQpyXgU5rwrXqcKx63DsAJYdoQrg776bxzuu68Zt96tiBcsMubf6k0UMpAW4k4CO2VtQIJuk1NRGGIgLHNqBPItV+WjMvGuA3HRSU6+bQ/JrO5STqbAY55qkwG+C3ZQBkaEp+vVGk6ZsraO22JoSpyryU70NDX3csOQ6ZyVSkU2Zq6LqObmVBIK4hTBksDnwrsuq+M6fH8XVb5lFnoSyBWwYgAR10KAKGsyCNMqo1RoYqwLl0AKn/sNrVy/7zX/4x/umVq1Ydtyn9bgtOAAsX/dmzIz/qNLV+dZG7dBXwcMpPDvKcWCMgFo2eGRhUV+IlcsC2B7Brffk8MmvFjE5Y2ea0DeXmWWDOFaslqTBnbRgblZGtKNpWuWm3O6WVpu0Br1JsdNeZmYpWXFclWui/TqhxJsE3KoNmton4enJc2FadKGPQTJcXDufBNp31PvrBkMcADhRNFw2D9KcXFDZIYvG+baIOTXR3FoQCBrFFxtlIXqLET57zTQYFfjmPTnYLsGK4QBDvSF4REAsitHDOewaLYDlF+N9V7+1UYlo5ep3v/lEoHpiAAeAXGk1AP4YCTdv/cxXx/27HnDx3L48BBNArYHhhWVcc9UsCAVu+vsiJmf0DAtWC4Uknc8NlVKaTC0i6YeZIZgGd1r7ThVGm0KHKoBtCrunsZmANHMhxJtIdue0tCjMzccAeopmEGMlMR6BBH3EfK2WAg3gK6c0RjhJ6ArRhzEuAoAkwFZMhOoLC1JdSdarCWchi5UpEUpUkXRFCCk1UhDVJpkkfgUlQEQAEaK7EOHT75+B78nf6UNXlTE8ADSqNgQDdoyW8S+P1jFJr6hu2jDyGJtHQOeUA5zZnRBi8hN195fFA8/NfHT3gb1eR5eDRiRQwSz6emYwOBDitnt9TEyr6RFiYNtoilJCopGoFhwa2LFSgmbLnS1FM2ssY8dSAzLrEJLsMknzcxOh8frMPI5AJgOllbzYvASk8Ne03pQLTQudVk1M7dy06qb+LdKWnEip0OTjFJIGcwPYKuYjlRMlc/BYLaFxQA9UvpAQQKg0aahqIqp/BG3JgVga5KFAZzHCGzcG+NZ9Hg6PUQyWHExMdyIIGBZ1zeLad4/Uyv7FfykI+WRfd+tytHnh9IRfCeCP//hGES646KGOYo4VnHBrScyynhzF+pEqbvjvY3j7pVX8dI+F7U95CKCnDrGRNOUx+peowgKbSEncbE5vxdxaS4GZhCpk6iwzPJwaF0Z2n2Q5mZbELCSICxwoYM7zqNupxY+qmKH1Ol3skKFBxmcEmosXsikF7aKyLdMPzIs4kwWpLyCz0ytA4shusovcmLgHJHUng07wQnLgxG9QBxeZIxICQjnqAvj293L4wjc78dzhHBZ0FhA0ejE5kwPzljS8wvKbcnTvn3T0bglxEuOELbgeA26jsbyn58YBe6bx0gszny64DXrB2TY2DOchqgEQQZEyKwG4jk4ioSM6WNOUz43m+eJJO3DTrAae4ehZABh/xm8wZyRSIDlWvC27o8iunHvERruNgqJ3MuXqeCYnxUG0th0HfpCx5LEVJ/GxVDxHzcSgpj9RF7es/xWxFq4mV1EWW6ZLI75gVaBIpUkLdSeVsriWILW8QkApB0gg38j1sX1nHn/7TxbOX2Nj0YDPc91LPt3HFn7upfFy42TxeeLkRo2Pf+hXsHohqV7y+rV3v+Wys8WZK4DBHoZq3UOoKvCTZpiO/CM2ZHmZbKnmUMSTQTnKkYwpimreyQy1JAvuOEcdzcClAJDh3ilAZ2jJfPZJgbl5sZUf2n6INvvGHDl5jHc3Eq/0upSCIuKrzNgp0b31i1vq40i3nJB0pVldSbIMdSWQoZNrhSUyFRY5w1sYWQgjG+AMjHLAYnBsBy8dIXhyRwC/8ywhnDPvfmpnrrps7btPFp4nb8EBYHjZElC7f2c0kPtgY3HlK6LyfVrM1fDcKPDv23OoCA+wPcByQFUWoLbMOvsvrnxHooKkaxWN8Hvmlp2NXrbLEszq21k+nkUpaXdRGOEcc31r7n38Iw3epI1C7DEatxOtssSvjfl4swMab0cmtA8ABodP5UQpw6sb7xD1CKMlMyECQnfIgpxLU3ZUkM6tnBtIKi4Rl/qW53JcfE4da+6vYNfBPCZ8hjM2bOKDC5d/8MwzVu7cvfelUwHNk7fgALBi5Rr0FA41lqze9LXBBZXfWTjogvMp/OMDLp7ZXwLsHJjtwmMUeQbkKOBri00Ti53QE5EqFjYvgKbIZGZ9M/VIimhN8JHsQivAZ2SSFJtMU8t4uSWw54n2TMpJslI9NoXnDZ08Bq1xoFQ0NJvPorcJ466QyRnPpteapW+RmvlDVwGZvQ4j3eswUlY8YghDhkZooxE4qNc91Os+1iwieOfFkyB8Cn6xE4dr1u9ccP7mrz2943Bj3bq1pwKap8aCA0BH7xqEtdGoNPDu3SxaMPPNOyaKX/uOjdmwEznfQo7JSnf9g6SSylpabKVlt3GedMi9qSGm8bzJUqPZ4rbj4al9SPp5dremQeZ8ekyu3cQusq8zlRZtwbNKC6C0btmOQW5LrLru86f1ca4S1PQb6P8Jc5aptbpRvTy+vDMkbft0tb+I1+ugVxxRhZwqMowsFPIE771yFoenBRaNXDjzW//tvN3P7jkUbdq4+lTB8tQBHAAIK4BaR+4BLvoQ63b+Mt/xg+5SWEWXJ7PDKGS1RkPV4WkdlhoWOpWn3cKqZiOS2UKFVoBuR1uyCEytb3IkDVTF+5P4dVmMyt1ak3TRYt92wU8T06kVMCRF5XAKQyvXDqVJU4BkmSBxQPVnFdrTjTm+mriq1WeKKQ5JAA2oDmUkrgvQPkHEKcJIWngCAduKEEaA53bjI7/x1qM1+5xrn3v+yD2rhntxKscpBTizewAA+1+avvWy119hjY3lbrrjnx7om5maguvIy77aAHggLYPszWhKgZmZCUxsGMAG5qijhGm9RcvkKRj7mRKauR5N+5M5rHe6bueE+Hcrq55ZJzJ/BGYOSnIhCKHnfTfBrpWaTCRUnVwRc5rkYlGXBDiIzCTUfcgNDZ6oCywuBxQEgnIwChkQUv4AFwz1hpzzCRCwrRARelBaeMmRwYWX/R5441bCRk4FDFPjlAJcj8UDJRydmPr61b+8lU6PH/rs9x98tM93BCxGMFEGpqcEqhGDpVQTi6rpsjOgRer3VZamyZK3WUZa0zUtfDZsD3O/7PsaDp2WxbKviZePUx5sNdrycJJ5zF4QBuiygSKipUSSWN8k4JlxYrVba4AcUMaIS0SLzGfQ/oq++8q7RZRMxc6ktZ6czWFqxgclHL4Xomtg05FC72XXN+r8667XfbKwazlOKtAz17jpphsxvHrL475nH7FJ4yKGsj+0wMGGVQ0EmMbje124NoXL5JQUFk3mic/2MmkKfrSgG2YeirnePEar11KSzKKQfq9kXhxz9oZ4vQr86ABQEuBpsUyyy5jTd0j5GmoheQ1JqJjejhbfLT4nSeNQs6OUWVSdUoaa7mQGf4PZb8WQFI102zjAo+7IlhWhu1TGw89wPPiTEspVD42Qortn6Gh3z8B1MxN7vt63cMPLBcNTo6K0Gx9479vh0Po3zli9+MPnbBieWbFY4JJNDbzt9RPo7SgjiFTRMAUcJmAzWUxvsWRKEa2Y6L8YtGgGd6KWJNa+nbIR/3ZZRxJott7mb2w+R7sDz3OIds+N+1aGpDcrJUQ9JU2EPqWuCJJ6m9Sdwog2ZpsGAQmguYAEs/Gn51ENI4ogpAhDqZhEKgZiM4GjMwHuftTGvz1O8eyeOmAvmrFziz98aJx/Y2T9O04AWfMfLwtFMceifpdzdN5mEyvM0cbfl3L7vIlpoFK1UHQAlwm4lgQ3jbVao41XC26a5uSZR2PZfIGpqqAN8E2ePldQJ7tuTv49B+AF5nk9GAoJmeOF6Qhn87Ykf0XSEvOYKSdW8fCEaKuHOHnK0NQF4qnDdbs1SlUElMhmrcUcQU8pwktTAbaetbyWK/T9ViiKd46PVeds2nMqxstqwQHgF678JSzrn4yIterOdav898zwwdo/PlwAuIcON0LOEcg5Ar4t4NmAY0krbk6hneXSLS233gHJcsqgi/YYzTqgJs+OF0XyXO5P0ha4hZN6XEO0WUYWfEiucJGsFpllIUjbtzG/UiqhS2cX6sgmkK4cEsmxTXBHXFrvRsBQa1io1i1U6hZqdQvlqgshcnjbuTO44sKemvD63nPW8MCdP9szHb3zV646gRN1fONlt+AAsO7sX0U4fnPEuh+7675/fdNvuPmJv+vL7ct1ekDelT3nmOpcEEVCtdPQDdqN3xSGZc06o/GF0Gy9TCrZYkt6TTtwtrk6Uhcfad75eLEusggk6fWmJdbLhLR4LZJoZvZDNN0JYudYd1xRy/puoCUYIVLnR14TMugThExSlEj+kIxxBKGcvIwSH2etXl7pGex77+atv3wXZ3eJv/2T3zzOM3Ni4+cCcACwej6Oqz95u7iy47Hbz1tzlrW0GH1l7KUDHZ4jZ8yiRNKRRgigDgSRSPp4qJENuLQKsbdSR5o0bWSsNkl+Y2FuI5n95wT/8VwZzSNrwM001xjAAIhoccgW61LXidKq422Ku5MMlcnq2ymZRKigEERMJRlBXBYXhBSVmoVGoKYSpwKOFaHhU/jFoamIDlzzw8ei22uH/je8/g/ODzSnYLxsKkqr8eS227Hqkg9g06qOpwcXdL84sqz/IkSVHBF15HwLrk1BCEGtLlCuEdQj2dJL335bZQVmYylZiz63ApOkrqb7cWfmp6SkZbpsav9YT59bPWlSUZD5fHSOz2t8L1PyhPm54s+QblOnzw+M79xUfN3kcCvlRGirnrynlgC11Fip2piYsTBdZqjUKcpVAcvpwpLhDeN+ceja6WrPP2xYVUbf8g/8PCH387Pgenzm+qsBABOTk9+wLGZtf2z7jQ9t29ZXq83Cthmq1RDVRoR9EwLTVQbP0upK8/w55ogFhEzo+phjrosEbY4xT2M9Hy6etdymhTaDOS0dbcM91GVpCTHX5n8en5XINzZXpXuWqz4rkJM5EN1FgUVw7AgzFQvlQw4OjhNUawJCcHR1lbBi7QVHNmza/PthGH6jWOqcx49x6sfPHeB6dHV2olKp3LJlyxZiMfLZ5597oM9jY5gquxhZEmJ4fBLfeqADExUP3R6HrSdjVYUPJu+MS68gLY3ZO0TuhLaqA81ub7Hf3GpLC88W87u2Wn4g0vq5zg4RxrL+/q05+LHfLJvWIL+PsYchFeq7guwUDFgsQiFXR7lewXce9bH/QAFhGGBsooGRxZ244rwLj2w6Z8v1QuCWYunEK3JOdrzsKspcI5fLgRB8bdM5m667+JILJjr7XBwY51g5RPDey8vYMDyFmapsyEjUbdFWernONjSDESbYzZHKtDPGXBa2if6kFIwWrmwW2MeB8CZDK1IP8RNTJheZ1zd/AUMdafHdjGrJeCedKGUeV84vTxFE0oHU88wTIlDM1fHT0QC33p/Djv0Mi/oi9CzsxPkXXjKxYcPZ1wnOv5bL+Tid47RZcD18PwchqrcuXLrx6DO7d48sHyncXK09bNtMoCsXQAiZVGVR2SPItrRzIxuki8icHzK+24JSQxw4iUEMCDTd1VuZ9hMc2dySeH3GyTT3T9Vvivl917S+IxIur6dlV8eOIIEcKVALIQ0MAFiMy2p8yjFdJajUKawSxwVbzg2OVMOPb9myaXcA/186887JnfxTME47wAGAEJ/v2rnznpWrfs1ZufTZSo7MfvmRx8fIg8/61HMB1xJwtU6uJMWIA41AIFRTX4SROhaU46Wz3OI3afG+xmMC2NZJVU1ZiHMoN/PBeRObyCZWiSQMnzqu1vTbADula7ehZfpguqIymYlDxLkkIpI39zAiqAcMPCKgVMCxZSczJwhRqTo4d3UFF22M+OKh80SpZ83/ePPr1/7d6J5Djb6FnacOICcxTitFMceKlSsx1P18Y/FQz60LVy1c9+P9Wz9VKCyHRwP4lkDOkZMQFX2Cgk+RcwlsS/7AjVBOENoICYIome9FZO/lmdHmzt68rsl5JHMfaz7OppjzKRISkQ6rx8GZOb5X2+/c4o6jc3CS1nvScbStCIQAQchQqTJMly1Mly2UKxYqVRu1uo1yFVg8uBQfv3r5p/JdI+tyHf23/vuPXmgsW37qswJPdLwiLLgefscGAKi+/0/u2DHhbLnxss3PO0ePdHzi8IF9LGc3UMwx5DwG26KoNzgaYYhyXeBoVTY30PWdgKyg17fwDJ0+9mhhqckx7v/H1MqP/ZbHpBnZAE2SD248TwfeM06rDtwgdSfQs3HYLIJlySllNE86MulifMpCrSHpYd4jiASH6/qA97oosjr/dNMW98az1zwR0a7Xn9Tv/3KMVxTA9fibP7wKn/78HdGnfu/X/+iFF8es+/5t2+/8x3886YqojKJP0FWioCSQjRrHA8xGIWbrHnI2Q6cDFRUVKUkxqwkDaHkbJ22oRzvwHQvQcwK2xTHnMswxQFOURPcHJ4bNV++NFscWUE3vARpX9QCMCdh2hJxbh+fWUGmEINUSjk7l8NM9ISgBSnmK7g4LuUIH+obW15euPf9/ubm+Pzq85xtYMPxbpx4Ip2CcpAv28o6jE9OwaAQuyGeff37v1u9//z7aW6ptHewatYKohid2ljA8VMdk+Qi+fHcBu470oNtn6HI5co5M4nKYaqhlBID0o06DNSeHZTTpj0KNoAglJJkgNk6ZNSZ1pSR+HvdBSR2DpNJuU8XTZt6NMRmtDqSke7joxkcKmHqdsU0GYWTRgZ4FT39n6WYox51x2BaH44Tw3QB5v4aO/CwOTFTx+W93Y/JoD0YGbDyxu4bKLMGWMwfC4aHSI2+64k18aGjpI2GI632PwPFKpxsqbccr0oLr0d0Vn7jrn9j+z7j4orOLeWf8b8Ja+Z1f/6dxOjXhYsMKG5eePQ3LOopP3JJHI8pLfZuolFslKSa3cDmSYttEtWhyIHV0rwXHSa0iJKVOHLfVyCgn5mdsFbTSVIRApLpWpXK/MpFKU22RVfYAQEGp7IdCANiMoxo08LnbC/j2Q/14/XILi8/gGBqk2L5riC8dWXPH0oXF9//4ib0zq9ec9XPDwcmMVzTAzbFx8y9ChE/PgC398M5dC3d5hWfXrxiqvqNW+xkaDYLXrQhQdCNMVaFkRWm9HUtaZQEg4gJRpJpPArJbnEg87TicjmbVpB1VOV71pO0QBkWO+XWGT7cgMKnaS5HUWOoPRIkAVVFgLoicfDWS58NS085YFo217Wpd4PFdnmwbEdXgFlbjvI3+3Vsu2PB0VSz+PEN15m2bV55mNMx/vGoADgDEWg8AYwdfPPCHH/vtM5cePrgTvFZ4R0fpXuwbq4JHXLZ+Y3LqZ9ch8BwJ8CgSqAVybsZI9fZgQCyLmfkfen5602nMxHmMD5UJ72dDg8czDJC3EoDMFALplMoLQPYNJACX1EOHcCgRYEyG1QkBooigEVioBwxhBFhMZmxaVCBwZNsHCA4SVVD0bJx/4TlYv2Ht3SPr11w7PT07OjS06HRD4LjHqwrgegwuXITy7MTokuF110XV6NaC3/eR0vTjF3V0jqN+OIDDCHxHevw5j8K2CIJQYHacY6YmsxRtBjiW7JgFJCDV4M5q0FqySKyrsY1o66/LwI6PpqQKcYwqnLiXiXknyVw8XM+YpiQRTqE6yUrubTEOx4lgsQhCUAQhw9QsQxAQ2LZA5MvaSc+xUKsDsHvx9jdtxuDgOduWLSp+/swzVj5VrQWvSnADr1KAA0C+0AUAu4QQuwA87RX44PXX9H71sR/vWPHkE08wzwlR8AlKBQs5j8F3BVYsHcdtD9uYKbvo8mRXJpspe0cJGCWyJlRlD0LoCKmaig8CVLdoiNOdyKmz3uql8UWEpMAm1qwVt9bTCXJ9Eag5eQgFmGq5RomAbXH4boCCX8dUpYEHn+wEiRy4DpDzZaSSgCDvO/C7LoqKPat2nTMdfOBtl7/hIAd2sJMNBZ/m8aoFuB5Kn95x6NDRHReeHV3RmfMWXXXl2Xc8tO2h0tTkoXzBraOrBHSVIqwfqcEujOPmby6CRS04jMfh/NghtQgYkz8q5wCPRCoNQNKAhD8kCguJlRJzCGO/9Ac31ok0qIlqIh8/h9FZN05RFQgj1WEqkvtwJjP9LKqCXEQGcHy3gWJ+Gl/8DsO9jzBsXFxDR4GilGfwvBJKPQPltZu2Trt27SqvOHzgigvY6LF0/1fLeNUDXI/+/m5wzkcXLezdPzU9c4bvki2M4m/LkzvCytRz3bXK0SLnLi7fOI47H57G/he60eVJYDAKWIzAsQgch8JWAA9CgTASCEMJcimtSRrAoAyrsvhMARxA4ugp6kDMSgokzqupbmgLHom0pClUxr6WAS0m4onPwoggCIgsEgFgW5KmMErgRPIgjHJ4ToifjtZx/096YVEL9ZCAej0zZ25cc/S8Tast16Hv6+xd9qjrFaYA8NcKuIFXUKj+lHwZSkEI4bVqeWJo0eC9pWJx1Y9/eOfIxi3v/tOh4c3PEHvoieFFXbWNKy3UAo6IcxAiwBhgWwSuQ+E7DHnfQkfRhucyVGoClZpArSEQhEAYCXAuYstPFaAsRmExaf2JssZciOQxG4QxnFq9fxTJaWt0uoHm4DqcblsyF8R3IuT9CHkvRLUeYXKGY7YiUK0T1BsUjYAgCOXxhOCwWIgDYx2wwv7aupH+Jy67eMsz117za396yzfvGsnni6u6ewbvnZ4uTxBCXlPgBl5DFtwcAwODgEwyrBwdGwWl1s2UsJuXLR9mtnvGly84V6w6PHn4gtrRgyxnVeE5AoxEsC0G35dV4J0FjtlaHU/sqaJS8VH0OHxHUiLLUgZZWW+LUdi2dE6jCOARQcR5nAlpUhogSQhjNJ7yBhHkxRNGAkx1pmfxHJayesZiAp7D4bsR8n6Acr2Mx54tYHbWQ6nAwAVTciGHYzNEnIBaDuz84mj9WUsffu97+nZMTlU/aDEe5XIebvnKTWLZ8NLK6f69Xs7xmgS4Obp7lwIJvMIXD0++/62Xu13nnDn2mdvvus958cC+aKA3f3bOo5umpyZAUUXRF1jSH2BB7xHsHBP49vfzGOnT0T/VEkFV0DAFbt8FHFuC9XCdo1qXyUo2o7A1JzYHAZgldXpCBKIyMFsOEQkBx6YQYJJqGOV6NhNwHY68H2DpwBS+ta2Kex/3sKjYwGCXgOA2crkOdHR3I58TP7Hc2f+X61jIOhdf2hjM9fzBxg31Ccs9tb3/XunjNQ/w7Fi4oBMAJgBcAwAPPvgQCHBRFAVvmpktXwVeW91VmEWXux2E1vDiIYHJmTLGXAsOJfAcJudzh7TMFiNwbCDvyXlnSoUadh4Axo4SdBQoqEdgG0qLqZZYFPBdjq5iAMIC/OAZgi6foFRgoITAsVii2TMBZglYNIBrz8K1j2LJggDUXYAZnseVZ6/CksESujvzz3m5/B2ea98nILadufmC033KT+v4Twfw7HjDGy4EgG1Hx49uA/AQF3wE4RivHX6Sz4Zrht986bLfZ7nD8FgHyuMvYnJqAkRQ2JQh73uSOlDAdTh6OupYufQQ/uHBEg5N5eA5Ar4rKYdlUal0cAEe6pwXAd/lWNBdw0wwjaf2FbCu34ZjCbi2dB6dkCAMAggewiINeLkO9PQPYQZ9GFk9jIs2z9741M+iPRe/4QK6dKiHuo61G8C9xVLX6T61r4jxnx7genT3dAPAvfq5EC8A8DuLA3sfqYdPYabcGQz1rv4oAb/cd2Texo7nngYRFViUwHE4ersaeGY0wrP7AtBagEaDgEcSzHmXIwiBsekIQSRQzDO4FgGPQli0juGBaZy1iqE81QHPE/B9G4QAhVIHNp9zFvI5oOBxMAv35+ypvxgv99o163z8xrtWbIOoTm46878A3Wr8F8DbDEKGAGASwHcAYPeegwDwM86jfsbABQ9w6OBe1KsBhCBgNEJXIQwe2HPFDa9bH/1ipx0Fi7opOoo2OgoUPR0c9Qaw6wWBRhChu2ihVGDo7ojQ0VNGX0/Vvuna3D+/86MHb3jdiG27jo0o4vD9PJYuXwvftWBbglJGD0FgT9/wqzOy+PMery1N6DSPm255EISQ/omxwx2dbkP0dVAU8xaKOYrezhD1OsFz+4BGEKK7ZKOQY+gocvR2VLCgLySdg91TEDhE2NtP91d5zYz/D7yLWOAlgFcAAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjEyOjIyKzAwOjAws13bHgAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzoxMjoyMiswMDowMMIAY6IAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 158304000
{'hecke_orbit_code': 18014673420943867, 'n': 1, 'trace_an': 4}
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id: 158304001
{'hecke_orbit_code': 18014673420943867, 'n': 2, 'trace_an': 0}
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id: 158304002
{'hecke_orbit_code': 18014673420943867, 'n': 3, 'trace_an': 2}
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id: 158304003
{'hecke_orbit_code': 18014673420943867, 'n': 4, 'trace_an': -2}
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id: 158304004
{'hecke_orbit_code': 18014673420943867, 'n': 5, 'trace_an': 0}
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id: 158304005
{'hecke_orbit_code': 18014673420943867, 'n': 6, 'trace_an': 0}
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id: 158304006
{'hecke_orbit_code': 18014673420943867, 'n': 7, 'trace_an': 0}
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id: 158304007
{'hecke_orbit_code': 18014673420943867, 'n': 8, 'trace_an': 0}
-
id: 158304008
{'hecke_orbit_code': 18014673420943867, 'n': 9, 'trace_an': -2}
-
id: 158304009
{'hecke_orbit_code': 18014673420943867, 'n': 10, 'trace_an': 0}
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id: 158304010
{'hecke_orbit_code': 18014673420943867, 'n': 11, 'trace_an': 0}
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id: 158304011
{'hecke_orbit_code': 18014673420943867, 'n': 12, 'trace_an': -4}
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id: 158304012
{'hecke_orbit_code': 18014673420943867, 'n': 13, 'trace_an': 0}
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id: 158304013
{'hecke_orbit_code': 18014673420943867, 'n': 14, 'trace_an': 24}
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id: 158304014
{'hecke_orbit_code': 18014673420943867, 'n': 15, 'trace_an': 0}
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id: 158304015
{'hecke_orbit_code': 18014673420943867, 'n': 16, 'trace_an': 10}
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id: 158304016
{'hecke_orbit_code': 18014673420943867, 'n': 17, 'trace_an': -12}
-
id: 158304017
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id: 158304986
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id: 158304987
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id: 158304988
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id: 158304989
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id: 158304990
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id: 158304991
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id: 158304992
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id: 158304993
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id: 158304994
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id: 158304995
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id: 158304996
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id: 158304997
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id: 158304998
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id: 158304999
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