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{'Nk2': 34848, 'analytic_conductor': 128.50615999250306, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [11, -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': [2178, 1, [1937, 1333], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [6, 1]], [7, [-16, 1]], [17, [126, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398576593026, 'hecke_ring_generator_nbound': 1, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2178.4.a.e', 'level': 2178, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11], 'level_radical': 66, 'minimal_twist': '6.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{2}+4q^{4}-6q^{5}+2^{4}q^{7}-8q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2178.4.a', 'trace_display': [-2, 0, -6, 16], 'trace_hash': 2205025627108171112, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.054', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.991', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.114', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.964', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.309', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, -1], [11, 1]], 20, 9], [[[2, -1], [3, -1], [11, -1]], 19, 11], [[[2, 1], [3, -1], [11, -1]], 21, 12], [[[2, -1], [3, -1], [11, 1]], 22, 9], [[[2, -1], [3, 1], [11, 1]], 12, 4], [[[2, -1], [3, 1], [11, -1]], 15, 5], [[[2, 1], [3, 1], [11, -1]], 15, 5], [[[2, 1], [3, 1], [11, 1]], 12, 4]], 'ALdims': [12, 15, 20, 21, 12, 15, 22, 19], 'Nk2': 34848, 'analytic_conductor': 128.50615999250306, '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': [2178, 1, [1937, 1333], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1140, 'dim': 136, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 17], 'hecke_orbit_code': 67111042, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6], 'label': '2178.4.a', 'level': 2178, 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mf_twists_nf • Show schema
Hide schema
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id: 889576
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '6.4.a.a', 'target_level': 6, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 889577
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '18.4.a.a', 'target_level': 18, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 889578
{'conductor': 132, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '48.4.a.c', 'target_level': 48, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '132.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 889579
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '144.4.a.c', 'target_level': 144, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 889580
{'conductor': 165, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '150.4.a.i', 'target_level': 150, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '165.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 889581
{'conductor': 165, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '150.4.c.d', 'target_level': 150, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '165.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 889582
{'conductor': 99, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '162.4.c.c', 'target_level': 162, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '99.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 889583
{'conductor': 99, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '162.4.c.f', 'target_level': 162, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '99.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 889584
{'conductor': 264, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '192.4.a.c', 'target_level': 192, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '264.p', 'twisting_char_orbit': 16, 'weight': 4}
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id: 889585
{'conductor': 264, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '192.4.a.i', 'target_level': 192, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '264.m', 'twisting_char_orbit': 13, 'weight': 4}
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id: 889586
{'conductor': 231, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '294.4.a.e', 'target_level': 294, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '231.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 889587
{'conductor': 231, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '294.4.e.g', 'target_level': 294, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '231.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 889588
{'conductor': 231, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '294.4.e.h', 'target_level': 294, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '231.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 889589
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '450.4.a.h', 'target_level': 450, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 889590
{'conductor': 55, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '450.4.c.e', 'target_level': 450, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 889591
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '576.4.a.q', 'target_level': 576, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '88.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 889592
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '576.4.a.r', 'target_level': 576, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '88.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 889593
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '726.4.a.f', 'target_level': 726, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 889594
{'conductor': 528, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '768.4.d.c', 'target_level': 768, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '528.s', 'twisting_char_orbit': 19, 'weight': 4}
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id: 889595
{'conductor': 528, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '768.4.d.n', 'target_level': 768, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '528.x', 'twisting_char_orbit': 24, 'weight': 4}
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id: 889596
{'conductor': 77, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '882.4.a.n', 'target_level': 882, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '77.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 889597
{'conductor': 77, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '882.4.g.f', 'target_level': 882, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '77.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 889598
{'conductor': 77, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '882.4.g.i', 'target_level': 882, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '77.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 889599
{'conductor': 429, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1014.4.a.g', 'target_level': 1014, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '429.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 889600
{'conductor': 429, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1014.4.b.d', 'target_level': 1014, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '429.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 889601
{'conductor': 660, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1200.4.a.b', 'target_level': 1200, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '660.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 889602
{'conductor': 660, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1200.4.f.j', 'target_level': 1200, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '660.q', 'twisting_char_orbit': 17, 'weight': 4}
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id: 889603
{'conductor': 561, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1734.4.a.d', 'target_level': 1734, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '561.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 889604
{'conductor': 627, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2166.4.a.i', 'target_level': 2166, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '627.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 889605
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2178.4.a.e', 'target_level': 2178, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 889606
{'conductor': 924, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '2178.4.a.e', 'source_level': 2178, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2352.4.a.e', 'target_level': 2352, 'twist_class_label': '6.4.a.a', 'twist_class_level': 6, 'twisting_char_label': '924.n', 'twisting_char_orbit': 14, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2477725
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 2}
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id: 2477726
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 3}
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id: 2477727
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 5}
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id: 2477728
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 7}
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id: 2477729
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 11}
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id: 2477730
{'charpoly_factorization': [[[38, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 13}
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id: 2477731
{'charpoly_factorization': [[[126, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 17}
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id: 2477732
{'charpoly_factorization': [[[20, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 19}
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id: 2477733
{'charpoly_factorization': [[[168, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 23}
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id: 2477734
{'charpoly_factorization': [[[-30, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 29}
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id: 2477735
{'charpoly_factorization': [[[88, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 31}
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id: 2477736
{'charpoly_factorization': [[[-254, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 37}
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id: 2477737
{'charpoly_factorization': [[[-42, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 41}
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id: 2477738
{'charpoly_factorization': [[[-52, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 43}
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id: 2477739
{'charpoly_factorization': [[[-96, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 47}
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id: 2477740
{'charpoly_factorization': [[[198, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 53}
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id: 2477741
{'charpoly_factorization': [[[-660, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 59}
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id: 2477742
{'charpoly_factorization': [[[-538, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 61}
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id: 2477743
{'charpoly_factorization': [[[-884, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 67}
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id: 2477744
{'charpoly_factorization': [[[792, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 71}
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id: 2477745
{'charpoly_factorization': [[[218, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 73}
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id: 2477746
{'charpoly_factorization': [[[-520, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 79}
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id: 2477747
{'charpoly_factorization': [[[492, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 83}
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id: 2477748
{'charpoly_factorization': [[[810, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 89}
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id: 2477749
{'charpoly_factorization': [[[-1154, 1], 1]], 'hecke_orbit_code': 18014398576593026, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '2178.4.a.e', 'level': 2178, 'portrait': 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IEkJggSmrWEds/n1BwMjY+xlsu2hHR6CecXNBMNj0u2xOzY2KVeGyKkJQwFrV6V+ZbPRE3gSY/zcz5HzwlOXow5vRgTVHu87qYub7kZAjnOoVNNTs8qLmTMvWA5Om+58cp5/s27l9kyPsGJ85NcmK8yt+yx2HLnsTdI6A8T2t2Y5UGVy69qmC1btv2FVo2fMCZq/4t/+J5vNiT+Wo+/0wDvdTtcWIyoV+T7zp0/+PIPfOKD0mf25T/z9nm9srKdiwtjLHd8Wl1NqytpdWCpnbDcjlhsJVxchqMLgpmZFX7phxZ52aU1zsxOcn6uzvkFzeyi5eJCzNn5hLlOzPjkgFdc3eWWy8CXVQIVMLtU4cKC5uKSoDeEODZUfEO9kjAxFmOAUxdj2l3YudGjXh1irQDh0+0bdmwasriiwTopstKFYQwWy1IrZOsGj05fIZRFmCHNiseOzQNWeoJT5zWJ0Uw1JY2KIPAgjgW9oeTikuTComV2OSYIBuDF3HpFl5dfKZhpVllcbnJmNuD8AswuxMwuxZxbgmOLlhuvWODf/dAym8bHOHVxktmFAtxLbUO7E9PuJ3R6hpWu5eSSZHFlhd/4Pwbx1MT4w5fs/YEDvdbyP7r+pjdbYxIzNtb4ZkPlJR9/Z4PMz3zmM9TqDVrLi79y5xfv/qcf/uxjwaNHoVrx+Hu3Sa7cvoI1EqVqaBkghUagsNaFFdYCNkFgOb44zi99SPArPzrL9btDGtVJ6tUGzVpAo+Yx3lTMLiouLmu+8lCFzz0Qc+n2HpddErO03Ofy7UO+702GKFYILH/1cIW5VoVqMuTkBUW32+CavQlz7ZiDhzz2bZccOQ+37odWB0KjCXTIdB0On6tSq0YEKmasIVjpwM2Xdzh2NmDfTsOJ80OeP+b+PW/7gGOzlrHGkKV2yGe/UsMKRZIk3HFdj9uut1xc8bh+z4A9WzziqEmvX+Xg8QoXFwTzywlzyzGzS4bTS4LZbsh1+xb5hR/oMtOc4NSFCS4uVlhY8VhqC5ZTcLe6Ca0U3Bc7irl2zLV7e9y8d1HXq8ntFy98+sZI3/bawaD/8ZmZqZ//4hc+y5u+7a3fbMis+/g7yeBPP/IJrr15TH3qk4u/sLS08K+eP3hCPXe0w8kFyek2XLp9jt/88Xmu2V3j4uIES60aS+2AlbZmqaOdDdZKWG7HLHViFlpwZlmgqwNuu3KJ731VyO4NdVa6TeaWqswv+Sy0BEstw2LLsNwxtPuG9tDSG8RMNSN2bDSAIPAsZ+c8hAzYuUGxe4tly4Yes8tDnjnS4IZLLbXqMs8dnaRRDwlDj6kJQ38Al+8Y8Gd3j7N/e8xwaJkek0RJn0Yl4PmTA6penev2xTx7PGR20WfrVMDuzbBjU4hSEWcXwPcsQlh2boyZaEg6/YBuz6Pd81hqK5ZWYLFlWGolLLQSLrZgcZCwY2uX771jgdsu01S8JhcWmiwsV1hY0Sy2BSstw0o3otVJWOlalnsw15GcXzHcsG+W9713iUs2Nbi4NMHJcw2Onx+j1tyebNq04VcePFT7d5dtHSQ/9p7v/mZDZ83j7xTAz585SrVarR49fnLH8txz7zxzdvGXnz90kU7PMJsy0fmW5ETLcM2uOX7jxxe5+pIac0vjLK7UWOkELHc8ltua5Ta0OoaVTsxyJ2apbZltCc53LYgub7+9xZtfZrhkc4UwrLHcqrDS9Wl1FMtdQacnGAwtYWxJElDSEnhQDSzjTcuGyQjtDTh2IeTA0QAT13nTzSHaW+GJg2Ps2gyffzTm9qsC5lp9KloRJxGTExBHHtqLWVys8Yrr23z+oQa7N8PjR4Z41Hjjywyx6HPgWMKJsxW09Nk4oZmoC6qBwPcFSkBsIIwsgxA6PctK1zhZ0TMsdi39JGHnth5vvqXF218egmmwuDLG3FKVxZbHUluz3IKVTkKrG7PSTWil4J7tKGZbCddfOsuv/sQ8l21vcGFhgrnFBhcWqlxY0MwvJ3jVGSYmp//1bS+78qOTUztOh8N+/9prL/tmQyl//J0B+FMHnieW036DYz9y/szR33nsiecEJpaLbUGrHbHcSVhsJyx1BBc6ktOthBv2zvHrP7rI9XsrzK84kC93Alodn+WOZqUjaHUsrW7CSiem1TUsdy1zHcGFlmFivMfrb+xw62UxOzcqmlWPdqdC4ElAEcYSYwTGQm8ACMNEY8CRcxZjQ+56vM6wV2XvVp/bru4RmRXue3Kc6y71OHKxS2u5yS1X9/jKEwEbJy0HT1n+0dvaHDwZsHFS8uUnFbddrljqtTl+ZpLr9oXcd6BPPKxx6xU+e7YP6MddvvSEgkRw7KymWdNoAb2+xFhBYixRDEiD9g2trqXeiNi+ecjLL+/x+htipuoVZpfGWFypstx252a5LWh1odWJaXdjVrqGVs+w3BNc7EjmOwk375/jl39snqt21ZhdmmBxpc5iq8LCis9SS7LchoWViPGxwFyy9yp71ZV7fuq2W/b88cLcQjiz8apvNqSAvyMAtzaWUdh/6+c/f+feVqfz60sXHvbOzk6ilCCKDb1BTKeXOKD2LCs9wcWu4uxKzC2XzfG+H1vghj0eK51x5pfrrHQrtDo+K11Nq6No9aDTtbR7Me1uQrdvaPUs813BfBeiZMg1l/bZNJnQ7Vm+7ZYhuzYZ4kSipSWM4N5nKpyeq7B5Iua5YxUwNS7bprh+vyGo9HjiSI/5hTpX7qrTHF/moWc9brq0wmJvheXlJps2WR49qPiB13R57KBm2waPhW6L5aVJrr+8x0PPJUxWx7lyb5e5VotHXxinquvcuN+yb8cAZJdnTgg2TEbMzkfc94zHIFJICYmx7Noc8vpbQjpdxZYJw/WXQhjWnHxrBax0Pdo9RasraXeh3UtodxM6vYR2z7DSsyz1JefbgpV+yG375vl3P7bMDXsrXFwcZ6ldY6VdYaXjsdxxQX13gLu5rOH0XJd3vPVlURRXf/ZVd7zlaK1W/Wyj7plvNra+6UHmhbkO5y52f+jE0af+w4njxyePnLhIvVJDa3fvCQFaCXwtqAaSxBissVgSpFA8fmQj//L9Hm+7bYnve80iu7cOubjYpOJXqQY+tcCjXtV0qpJG32OsrukNErr9hI1DQ39o6QwCluYrnD1jCWPDuYsxQWABga8sWgp6fYXAI+5prt0l2LPFsmNrj2HS4QuPKV48OsEbbgi4/vJlPvgFiy9q7Nra49mHFFvHFdPNHhVVJYw85jpQr2i2bRQ8/WLI9fuqvOq6BT5wZx/fa/C6my1e0OOrj4Z8/pE6L5yocsmWGrs2J8xMhOyejrhqV4JSBq0sYKkFATPjAWHk0en5PHfEozvQ9PqK7kDS7UN3YOn23LF3+gndvqXdt7T6MN9TXFy21Jotfvrt83znrSHX7K5xfmGMVqdKu+vT6Wt6Q1cPnxjAfTQWya5NNV58/nnPyKn/sGnTE0u33nr9P7W2/QEhmv/rArzf64MQP/aVex5533333j0pbZfxhg8ItHJOiEVgjCTwLcZajBFYC0JYlDB4UvLc0WmePlzj8Pk53v7yLi+/YsB4o8lSq0a9XaHZ9+n2NJ30YvcHmt5QMxhaBqEhjCxRZIkT9wxjH2tAKoGnBRVfMN4QTDRg07Rh28Ye0xMtvvgEfO0pD2nGeMMNHtde1uGBFyLCQZPbrhW0+n3mFuvcus8wPd6jqgMGsWK+HaGM4Np9mlpjyJOHKrzy+jFuuabDk4cU2DFuuMLnR9+yxFeeDvnyY3UOnq6wY0axabLKRKPGWAOqAXjaoiQYCwdPCJJEEMWCMIZhhDvGYUJ/aBgMDb2BoTc0dPvQHsJ8VzLfgYEZ8Nrrlnjry1t8/+sMUTTGhYU67W6FTs+n3fPo9hX9gWQYCsLIsXecGOdYKcniiiVJ5nnqsa9O1ivJ/33F1bfrfr//h9Vq9X89gFu7AIQ/euSFh9939uj9G+p+j0qgESIFtoXEgIwFAjny/wrhsohKWrRMqGrJfK/KX9y9jbufanP7VSu8+7UrXLW7y9R4jcWVGp1+QK/vpcBW7hkKhpEkigVx7JZ6V7uV/tsaKj7UqobJRsTWDT1iuhw5F/EX91U4fqbOeFDlpis0t17d5tHDLe56uMnNl1bYsbnHn90tUCKg2YhY6Q4xFpSAmWaPdsfHxFXeevscH/l8jT2zFd58c48wWuS+A1NESYWXXbGBN9/U5tLtLb76ZI9nz9R45oTPtknJZFNQCwS+525CKdxNbywYY4ni9GaNLMPI3ciDEPohdAaC5aFgqQNCD7h2/wrvfv0Kr7giYbpRZblVY6VTo9v36fQ9un0H7u5A0BsI+kMYhI4Uotik582CBSEEx061OPnRr2y46aR53ytuv90eO9N6/57t35xOov+hAF/uWDwfUffH7c/++/ves3f7xV+/dsuB6R0zCfWgShgaEiOIE+uYKHHyREmBEAohQAqQQqTLs8FTFl8bKlqwNFAstSb42L11Hnmuy23XrPDu161w3Z4WU0mVOA7oDSp0+x79oSaMFFEsiRNJYgTGCgQWKSyBb6hVYgI/xPeGnFsccufjkqNnfU6cnUCZgD2bfS7frbjhsjYqmOfAsQZbx2tceQlsmllmqd3kqq2S2Fi++FjAsCcZr8e88WUDPntfxOmLDfbv9biwMuD54x7bN05wze55Hni2w0PPC4ahz2W7J7lse8Bl2zocu7DE0XPw2Is1jhyvU9OCQEvqgaXigZQuqHLkYIkTCGMIE0F3KGgPBO0IQhNj7IAbL23z7te3uf2qhM2TAf3BGIutCp1eQHfgVr3uQNMfSnoDSX8g6IcO3MMwIYpMfiMliSUx7nPDyDK7vMSBc3dt2Dxz5Ndvv3IstvZDH3z/nyT82Ht++H9egGOGYILbT5x4+P1/+Vd/Mnnh9AvTt2y31DZM4XmC3kAThoowdstsFEvCGDwtUAqUUg7wyqBVgqcEnjb4nqXiWapBwnhF0Bl6rLQn+MTXmtz9zICNEz3eeUeLy7YPGPS7XLnbsn2TYhh5JIkiMRKbgVsaPJ1watZy4qJgpW/4zAM1zi1MYEOPiYpiy5Rm5ybNJVvhyj1tjFzg9z9bZ2lpjJsv01y5p8VXnxGI2GPDhKRei+lFPtJKsBKlfVoDweyS4Apb444bOjz4ZJUt0z43XznJ33/LAn/8+Q6PHarTHXgsrjTYvaXK/s09Xravw3e9ssP5pSU+80DAYi/g1AWPc+d8PCWQUiIQGOsAFxlLEhsmpiKuvqLHcBhx2fYh77hjyIYxxWQjIIoqXJiv0O379IcevYGmN1D0h06S9ENBfygYDGEQGoZhQhil0i7OVgtDFDvbshfCbFsR9ha58yvHpg88f/l/iuWl0Q9fc/DDz//6n/GbP/sD//MB/OMf/zhX3BaIj/7uB3ZHgxf23X7d/ezbZhj2xllq9ZloCnztMwgVYSQJI8UwsniRwFMSpQRaCYbZey3wPAdGXxsCz1KJLDXfMlZJmKgKeqGkE9Y5cbbOr314EkyMiGNuuLrH7k0hcQzGGqx1SRwpBFIJtOdz6LTPwaMV6hVNw5dM1wQzU5INk5otM4qdmxP271whEYv85081OXV6nJv3eVy2K6Efd3j4QMB41WNqzDLeCKlVnRQyRtIaKJa6lsVWQqtb5RVXrvD4wR4vnlaMNyu87Ipx3vvWRX770/Dk0TrdvmWlo5ldarJpusaGiQE7pwb8s+/p0ay1ePYEHDoj8TyLUhYh0ggwlXpxDLs2Jdx2VUwSeURxgLU1BqHHxQUH6v5QMwhVLt/6oWAwlA7YIQxDyyBMGEaGMI1bwsjlCaLIEibObRpE0BkKVkLJXM/jv/y5xyVbnht/zavMH3zIvzz+jX/+/R9741UV++a3/o9JCv0PAbjt/hbUTqnbrv3tt3/yy4u//+8/cIyb99f4pfd22b9tQJJ0EQI8nRAMPYahZhga/EgyjBRhaNFa4CuJr53m9D2F70l8TxJECcPQUo1MegEszRiGkWEYQxgLBpFkmARESYUXj9Z55kVIrMVB22ljT4KvXM1HI4ArN0OzCmN1yURDMTWu2TAJOzYN2TyzQmSX+M+fGuPY8TGuv0RxyTbJnm3L3PN8zOziGDfslkw0DRW/TyADrBLEiURYS5yELHcrzC56XH9ZlWv3dXjgyQobJwS1SoPr9xl++u2L/KdPG54/12Cla1jpKOaXNdPjdSaaVSaaYzRrETP1iJ3XhwRejKdjlEqQwgUTWZAeRYq5eU0UK6JYpQSSvoaSYSQZhpJB6ILIQSQYpsAehoYwMvlrpuvDONX4WUAbC/qhYDmULPQtYX/IFbt6/OJ757lsx0Lt7qeDD/7ML/6peeDU+Ke+759/OPnz//v7v/UB/ou/+RH+yW801b5t596xf8vBDywvH6kstWt8+t4ZEuvx797bYv/WDkpalEzwlU9fe3iehxcqvNAw1AovkoSexQ8lvicYhILAEwx9RRhKhr5xTBInI0tnFFuihFQnmlQnCowhB7cQoCRoCZ4HgRZUAkEtkNRrirGaZGJMsGEyZuemHo36Cp96MOS+A5OsLDS5eodi52aPS7cPSMQKX3ysRt3TzEwoGrUBB47hOu63W3pDxTWXRly9x3LxQsL8sk9/UONNN3W4/9k+R84p6lVJ4De56hLDv3vPIvc+3+ez906z2Lbs3JCw3NKMNxVjdY9GzaNetVQCQ+AbAp2glZNaMo3NrcUlrIwgNpI4EcS5BBREkWQYOecljIQDbWhTMKfgjkqsnYE7BfYwFvQj6EaSViRYGRiSsMf1uxb5xfcu8bZXJqx04PljT1RkLfrQf/z72374lddPfPw3fvyPk+37f+RbG+C7N1i5qbn4rseenf/d//ShpUo73ECiNaIBf/VQQDjUfPer27zjjjbT4zHtXgVvGDCMEgaeJvB0iWlUytiSwE8vSv5UqQaUThPGhe0XJ4Ykce5CYlOnJHVLhBCpI+Nkj68FgS+pBJJ6VdCsWcYbho2TQ2YmOsR2hY/dL/njz0+xoVLh6h2CHZs9dm0x7Ny8zKcetiwtVbhsk2KiCY1axOxJydxygL8bhpFgZkwyPg5HTliW24aLCxUu3VXhNTd0uPNrFaYaEPg+So5z1R7Bj795Dk/O8VcPTPDCuQob2xEbxmPG6opGVVGrSqqBJvAh8EBr60CeBuU5yHE3dmIgSQRxQgp0iBIH2ChKHCnkGtsQxoYwIgf2MIYwBfYwFvQi6MSSdgjdQUzDb/O93z7P99zR5XXXwXJrnChW/JPvSVhuPV9JouAP7n9sQlvG/hzHM9+aAH/ykc8RJ8l77v7awd/sLJ5pbq5V8azEqwk6EXSV5otPeDz8QpWLywv81NvbTI2HDIZV2r0KvvYYeh5+qAkjje8pghTsYSQJY+nAHTuQZ4FpHEOUQJI4J8EYF3CZzM4iA7cDeKbvPe0AUgmgVjE0qjHjjZiZ8T7TEys8+GLIh+6qcujEOLvGPPZsgm2bfLZthP072vTiNo8ebFJVHjMTivEGjDeGTIzF+L5GCHdz9Yc+S+2IlZ6l1Y2ZW/bZsanBLZfNcddjPQ6da1ILIjzlI8QYe7YqfvB1C9y4f44P3dXg0efGWexqNjRjxmsxtYqkWlEEniDwJJ4n0EqiFKl96FBucT2sxpADPU5M7oI4YjDEiXHaOoYoLuns2Lkyw1gwjAT9GLqxpBNDd2CIowFT1TY/+fYF/q/v61P1A5badQbDgMHQZxC6zqgT5xaaRtf+c3Vsr//hj3zmj7//Xd/xrQfwI6dbCCF/7NzhT75PmfNTMxMeiYnxdUK9L2gPBS0lWVFV2gOP3/yoz8Fji7z1lV1edW2bjTNDOu0K/WHA0PcIIy9l8tTei1ytSJQCPU4cuKM4ZaZEpkwFxkiMpQC3S1KmzA1auYSJ71kqvqFaiWlUYiaaQzZPt5lt9fidz3h88fFJlpbr7J0R7Ngg2LrBZ9sGwe4tA7S/wkfu0xw/U2ffRslEQzJWT5ByyLl5S6AlUoC1gjDS7NzQ5jES2j3Fctsyu1Rl37YK33VHi49/1efkbICnI4TwMLZOFEtu2L3Mzu9r88Une/zZFyd54mSdrROC6XpCvZJQ8Z1s8z2Jp12yTAqBlCKvybC4m8xYnNOSOMBnII+TVNKl0i6KLWECUSQYJg7cgxTY3Rh6oSHqRmyb6fCq65f5jtu7vPEGi7QNFpZq9IcB/YFPb+DT6gYstgIWW4pjZ89MXXP99K//gx99m/q+7138QyGmvnUAvrDUwvP037/n3gff98KzBzdIK6j4ilqQEMUCa22qew2eFKxITXs4zkfurXDvgRbX72/xrtf2+fabW0xP+PQGAf1hQBBposgjjHUeKMVx4WVHiSCOJUkiSIwotLYR5KrEkvvpSjnXwVMG3zMEfkI1iGlUh0yPd+lHfb56wPIX94zx6HPjTPgeV221bJ6UbJzy2TIj2bYx5JKtyzx7ss9n7p9hTGlmxgTNuqBZi2j1Ej7/cIWG747ZWOgPNW+9bcjnHnE1Ma2uYW5Zs21Dg7e9vMujL3Y4eMSnHsRpDsDDmBqD0Gn9H3xNi32b5/jIvW0eemGc08tVNjUFYxVLzTdUtMH3shyCu5Edk0NWfmRSqWZMscLFKdAdQUCUCKJE5F76IBb0EkEnDeCjYUit2uOdb1jmXa9rc8OlCTMTPr1elZV2hUEYpLajT7fv0el5dPuSQShcw8fc4Q1PPv7I+667/nYz7C//UVCd+LsN8E6njYk71Grih+788oO/8chD906F/QHa0xgb42nHMHFgsaQgF67Ww5eStq5ytu1z/pEajxzo8omrO7zjNT3eeNuAqXGf4TAgjHzC2COKCkcgThRxLImNJEkKgBubMrcpasqEKG4urSxaG3wvIfAjqkFIo9onoc9XnpR8+O5xnjsxhogCdk1YNo9bpscVM5M+m6YlW2Yidmxqc2a+w+99tk48rLJtm2C8oWnWoVmLEF5Iu19nvGERwpUZRLFkMlDEJqYT+XR6Ccttxbn5Kldc0uAn/t4Kv/7nAafm62gVpTeGJo4rDELJpqmAG/a2ufqSLs+fOsdf3FPlrifGOd+qUg8UDR/qnsXXFk+Bli6dL8RodZ0BrHE3XWIEiYU4cXUmUSIIEwfsfiLoJzBMIIpjkjBkqtLjTa9d4Z2v7fCKq2LGKh5h1GBppcIg9BkOfQahl1uQvTRhFMYucTcz7tNrD/javfds0NL+xqYdL4+PHj/7JxummoyN/+1lPf92Gdx0qNWq33Hg2Sd/++Az9zVN1MX3PaLY1SuotGgq9lwiAqzLSkqLloZACbpK0YmbzA0r/NWjde57rsvLvtzlZ767w+U72mwYVzSlzoEep2weJyoFtyQxEmNlmvIXefrdMbdBKYtWBq1jAj/GUyHtfsR8O+I/fqrCibkJnjw4jjU+U1XBhmnL9JhgqqmYGvfYOCXZNBWzdabH1PgyX3zK8MQL41y9TTDRkDRqkmbNUK+GCG9IEGi0Ii9DSBJJf6jpDyJiI+j0DZ2uZantcXGxya37u9xyxQof+XKF6pJCy8idXquJE58wkvSHHtPjFW7c0+XGvV0ee9V5Ts1LPnTXOHMrNc4uBvhKUvcEfibDpAs8cyLPpAqOyWMriA1ExsmRQQJhYiGJIY5QasjmiT5X7+zxM9/d5qbLE5oVjyhu0OoEDELfScnQYxDq9NUljIZpAi9J3BdwlaKK87NDPvVXD0zd9orKb1933fXLS63+Z/42Ifm3BvAHHz3CB5/arN4w/nt7+4tHm1sm+viiTqvrghkh3J2rPUGQFUzhulMykPsKqspSiwVd7dGLPRbDGnc9McaDL/SpV4b88JtabJ+K2bmlz61XdtBC0ahphHByxWUlXa20tSXmxiKkRYmEYWSxxCBjnj8hefxFzZ2PNnj+dIMwrtHQipmqZbJumahZ54M3NZNjmqlxwabJmC0zfTbPLHPfc0N+/84NbB7XzDShWVc064JGLaYaDHnwsGIQary6A5W1gjCWVLTiun19Hjkw7gqf+gkrbY+FlYDZhQl+4s2znF1Y5JGnZ/AkICIMEMc6BZGk29dMNCqMN+vcsq/Hq67u8X2vnufFM4bPPVrh0RerHD5eJxaa4VDRixRKSIQQqwLPNCdgDbGxWGPwRMKYH1Ih4pbru+zePGDbdMS73zik6ivqFY9hWKfV8RhGPlH6vZzb5UyBYagYpO6Xq/lxcVEmjcLY0OkaXjgxy7Onv9S84fmTe//lz/yQGqwcSSrjl/7dAfhjzx2gOd3wbzr96I/c/bj/m1975ALX7fVpVqt0BspZcQKkFGgpMNo1EWSpCCls7kP7Egd0benHgkGi6Cc1+kmFTifhNz4ygY0jNs4MuGLHgKmxmHe8ps+ODSFRJFK9LaHE3KT6U0qDkIJP3Fvl2WN1hNacOl/j3GyNSlUxFgjG65ZmxdCsQKMqGKspmg3FREMzNQ7T4zEbpwZs3dAmsSt84v4m/W6dS7dZmjVFoyZpVA2NSoznhXzxkQrDnsTbADIFUxRL6lXFm17W52tPGbpDSbef0O5pVjqai4s1Lt/d4B23t3ny+RqnlhooaYAo1cseUeJAMwgl3YGm1fVpVGvUq0Mu3zbg5v0Dzsy1OHlhBe0lPHNc8/F7agjlrgditIANawCHvihM2Lkx5p2v6TPdTNi/07JxCpLYYxg2iWLNctsjijOZqFOAF0kkl0iShFFWfShSA0DkQW6SQG9g2LGlx3WXt9i1a89vHjjwSO/SfVN/fOrUE+HOnTf+3QD4Cy+eQqjZfUn/zO/Mnn5cLi5O8FRiuWKncOfNZgzu6krKskECUlqUAq0skQIvgSCBqnZLZJgIQiMYJB5D3yO2MN9tcs+zBkvCXz4aIUTiLpJNKYLULHFeYFqsJZFKEUcaaTSeljQC2D1jqXuGWmCoBVALBPWqpFFVNGuasYZkoglTYzEzE0O2zHRIWOY/frLCAwc2sGcKJmope9ckjWpMrRpSr/WpVmsESqJkqsFx7BVFHoO+oD9M6AwV3YGh0zeuZa7uc3Z2jFdcMeSnv2eW//BxzemVACEM1kaYxBLFHmEkGQxdpV+jr6lXfGrVCrWgRiWIaFRDbrg0xPcibro05t2v7aFVnCaBDELYUVGeSjpjJEJIAk8BLpW/uKRc3U6SxjzpM4oVUSLTYN8F/JmzFaU2bl6xmZDatem1F4KpccHVewMmqk3+8gtPy297g/idyfqW+7vd4XN/G9j87wb4s4//KVs2RdUHHz/x9gefOyG09blmj5vz0R/KEtAcgztbbpUujrNMoguKoiySN6QRvSU2gtjYXCNGgSQyksRoIhOQpLZX+ZFnKQVoIVymUkGlaqloS0UlBB4EGiq+pRoIqr6kVpXUKtoBvC4YbxgmmzFT40M2THbZsmGR37/T8Gd3bWT7uGK6YWjWFY2aol6DWjWhUY24sGg4diGg4rvyW8gq/QSDULN7k2HT9ID2wKc/sCmLS1Y6mka1QqM2zrtfO8fxCxf5g89sRUuNxZCYhNhYotjJgH6oXMVfRVIbaKqBRzVIaHVcjOF7CZ5O8LwELV2jhJQunS/SJ2ntPYgU5IKWSassjcpjmyQP5J1zlT0dyKVLHCUyt2yjNE+RsbcxBR48T+Dhc/pihZMXoBoMef7Z58Xpc4O3q/rOY7/7gQ/3/+EP//el8/+7Af6Jext+HK/8i6o8+S9edc2SPHZ2gvlld1AZ4BzQXEIlP5G5bEiziKn/mhjwUoAnxjX8xmkZZmLBJIIkrZRzXq7IA6Wy5oastNYFVloatHSrhKdIKxGt8421oBJIKr6kGiiqFUWjKmnULGP1hPFGzGRzyPREjx0bF3n08JCP3LuFiUrAxoahWRMO3FVJvWKoV2IatSGPHoJnXqyxd8amurdIm/eHipv2Wy7d0eex58bpDS39QUK3r1OQe9QqVaqVcb73lUs8c3iORw5uAqswJnHlsLEljmxeT9IfamoDS7WiqPiGwPcI/IRAG7RO8LQrMVbKuC1YpJOHCIug0HNFcC7S8+tYPTEuSDTGOVWxESWgOwAnuV0riteY9PdpXiJbvdM4IMucLrXg0Re68vveevgXvv1G5U+Nj//KP4Twmwrw3uJRv90bvvfJg3P+3DXQ8GNXFgrk6QVhkdKxAwoQMgWe86FVknauG+HqihPXTJuYYknLMpHGOqBn9pa1tvC4GV1xs1R1ltBRMs1YKieVXNGWy/4FvqISKKqBoFYVNKqWZi1hrB4z3hgyNdZny8wyjxzq84sf2Mjps+NcMm0Yr0GzqqhXFfUK1CsJ1UqE7w1oDSxKKjyVHb97uJp3SRT7NKsRvdjQG7r9eXqDhE5P0qoqap2AStBg16aIf/cjLf7tByUPH9yIRWGsIUkMcRKnqXTlHItAUh0qKr7rggp8RaANnuf8fq2sA7hyAFepTBHCrmnQNTbTywKb5xUc4Mu5huy9A7jIwex+dpZjknrr2fVctdgipGDjdMwlu3tcMrPknzi17We967/bm1/q/uuZyfp/czr/vxngrVYba82//9Ln/+KWRx4/O711vMHBI5ZNk5aNkwatJUJmgBOpDyvdiTQO3FJaEmNR0pIoizY2ZQibnkyXZUvSLpWsw93YouunnJzMAJ7K7mKFEA7cTueTpuUFnnY1Lb6nqARuJEM1sNQrhkYtoVmLGGuETDb7bJlZ4ZEXe/zbP57m0OlJdk46h6VRldRr0rF31VKrJNQqEVES8qdfbiCVwpMWJQqb0FiRsp7HD75hmS89EdIJA3opwLt9RaeraAWaih8QeE32b4/55R9d5N/8seCh5zZirOtPdXXYrtBsGBqGFVfuGgSCiicIfJfZ9LXNM7ZaGaRygb0UFpG9lhnCZiAnZ/Ti/Kfv08K1rLal/N6B2QE7W4UzorLp9cyJSAqqFcHmKZ8tM00WliY59tx8Za734P/xpje8RvR63X9Zq9X/xwL88NEjWGtvnZu/8Lp6VbJ9o8cwNC6IhNw5yZIL2YU1UiCNJREWaS3KWIwqOkKMdqA3iU2ZI2PsjE1cW1Za7swqIsgBLoVjBVWWQWkduQO4xPOkq9/wBZXAzTypBQn1qgN3sx4y3uwzM97i0Rd7/OIfTfL8qWm2TQim6iVpUtHUK65+pVqJqQYhnjfk3OIEnhIoaVJbrggykzQw2zxhieOIdlShP7QMhob+IKEzkFR7iorv4XsVPD3GZdtifvnvz/Pz74dHXthAYqQDeGKJ4iRlcsMwMFRCycBXuQTzPPC0k2iuTsWipQvwHRHYvDBrFcZzU8BkQM8yoFaU6lpEys4iL5Eor75FLRAjZRNSZJYxtHua4Tm31eLiSsgzzzxSvfbKrbeUV7//IQA/fegzbN/Xrf3kP7vbj8Nltk1qahWJ7xukSIGUpohFiblUygjGiLRRtmBpo7KmYgd0m8oRl4m0hRwpOTB2ne+W31RplaALbEWatnaztgt5AhUPAt9QrViqgdPPtWpEsxYyXu8zPdHiiSMD/s0fTnDg1AxbxhUzdcNYVdCoSGoVRa0qqFbczeFS/SGPHBR0Bz4VRZoudxo8a0JIjCCKNfWK4tYrOzz6fJNe5GRKf5jQ6ys6gSLwFb7np/p5nMu3G371vXP83H+Fhw5uIDKSyJi0WbrowRz6ksA3ec18dsxaZU9SmVLIOJlmedd7lJNmRS1LcT0zoBcr7mppWQDcZuwEWOl+DmOJ7UNfOCnjacmG5hKHD3zGP9R6c+0PPvTZ3nt/8G8+Hu5vDPCvPnyYw50d48fv+ejvvfra3itPnIJ+mC3/CpHrXfJ65Oyk5bJCkS931oi8W758IgpAF3UTWWOrzf6x7JGurQJn77rVQ+TgdgB32TNPOybzPfA9Q8VPC6yChGoqLxrVIWONPhONNk8fHfJv/nCCZ05uYNO4ZqZmGKtCvSKoVxW1qqKWs3dCJYhp1Abc94zPSqvCxESRJs9uSpPq1ihRbJhSvPbaLvc9blwXTWhKIJdUPEnF03jaR+sqUhou325533vn+Ln/anno0AYio4myCsDE5kweRDKvLvS1ROu0CEsKlM7ODfn3y29C1qb1LaOysAz0vKZl5DUlLmvzCsY8XrLFZTPGIqTAGEOSiHwVkUJy6JTPc6fCV77i5Yfe/+53vuUf/Ni7n10R4pr/bwE+N3sRXy/93JfvO/auTus8M/UJKp5FK5EHc2VWKJ+o1SepvNTlRfn574tioKwCboS5M4dGFPNTMoDLUo23UkXFoFa4+gxt8TzXWFzxDRU/oVqJqVUi6pUhjdqAybEWTx4e8i/+6zRPH9/IhnGPDbWEsZpNwZ2yd0VSDRz7V4KYWhASmyGdMEAoiZcxeL6SibT2w9lqUeRR9weuXCCsMJGBfJDQ8x2DB77E0xpPZxvQWq7aZfn1fzDLP/9dw0MvbiQymmEiCJOs40ZQiVwrn+8JfG3S1Uumfa1uRXPnR+SSTpbil9XkVJz7UXCPkFB55S0Du3xdS7wkpEAYSyKK1VZKiZSwcTImqJ5k24R8V2/50mNxHP783xSvfyOAd1tnqTW37vy9//r+q2fPdZhbbmA3wLYNWaE9I4wgUouujHAHcrGGAUbYoKS5y3+/fKKzssA1QWW23KaZUZUGU1pbPOWA7WubVw9WvCTVzRHVypCJZo+xeodHDsb8y9+f5qnjG5kZ08xUE8YqlkYK7mrF2YkZuKtBQsWPadZDDp603PtkHV9KPGXSG73gQ5OOxIgSRWw0d9wQsfeSLsdOV5mpua71QejmmfQGKQtrhdZe2vnkvOsrd8Kv/vgCP/9fDfc/P8MgqjJMJGFsqaV13IGHA7nOVi+TShSJVEm+wikpSgAXIyDP6lZERlIlkOesPLLq2rXAL628o4aAyCWlkhYjBUpDVUs2TPhs3zjB4sWQr9xz6OqbXvWenS8ePXvqsr3b/vYB/uiz53nxfHNX//lHfivQne/Yszlh18YKnnbuQ8V3IFKrtPdqBmfkpGSdJqOgL5+QMnPn/waFBbkG3MIiVXajOTBolbK2diMmPM8QeIbAj6n4MZUgpFYZMjnWY7nT42vPwa9+eBPPHp1mOgX3eNXSqArqFZF75c55MY69fQfwajAkTBIG/QoV5W4ymV3E7BhSF8IFmtppeT1kGFr6kSgB3OD7Cb6n8TyJVgolvRzgCLhmt+BX/8Eyv/HnMQ+9OMX5VpNBXTKeWBqxmzYQpE8vl2g2tQspAbxgcFkCHdnKuOr8k2rp4hrZvHgra6wYvZ42v/7lR1bdKUhXXSVQxv3F07OKi4sN+oOYDZsXv2PX3geSa66+8v+w9tRJIXb+7QI87J4liCs3nzpx5O1zF0+wdYNPFAs3YUqlJ0yOBivrBiwjrGxH368CdikWyWFdSkfkF8GNe8h6K20+FCj7Xl5aFutpg5+XxzpwB34K7sku88t93venNT7z8AwL3QlmxiQzlRTcFae7a2lgWQ0ktcCmDO60dyUIgZC7n/ZZjnymglHJhiivVk6Hh5GmGWhec32PRw6FdKKAscikXewGf+hq1X3tAO7Os4eQLkGDhcu2S/7Dz7T53CN9fuWPNnJ2YYL+uGbcFzRiQy2GIHKjl33lBhp5WaApRR4EZ6/lQD2XfmLdS1nIFXfnjjB1Xm9UAv3oXULqwYv8errvYYgiQW+QIBCEsWVu6RA7t0++fbzR+NNef3Dyr4vbvxbAo6iD1vVLz5/82j+e189gN1qEiN0YBLvWey5OiF1751OMZCtkRwZuMRKErE4GZP/KSCAkMk+d3FtXqTTR0gFbKwduTyf4XoLvxVT8iMCPaFT7aN3jvmcS3v/5Jnc+sIHQNNnQFExXnCxxFmDmk6v0KVLmLrN3hNZDHnxhnF6o2Vyz6Q23msEzO00SxYqKp7jl8j6xcQDvR4JB5oaEbuSapzOLU6VAdNlHkZ7l6XHBu17dpRGc548+3+drL0xxMarSq0iasaWurQO5TuMQZdO4xKYgT4khjV+yeixJicW/HsgzgK+6frb0mtcIrcfi6QXN3kshsMJi00aMJFZ8+C8Pouv7//F3vvkVT7Xa3SNjzW/sjX9DgNvhSf79H3yRen1iS0M++6orJo8w3ZxipeszDBVxItNAYtXR5z8Wd20O95EDFyM/F6wtRhi8nIQQpRVCiALYMm1kcAA3ac13Cm7lajECL8L3IypeSK02wPd7fPguza/9yQaOzU/iBRU2NQSTQUIzsNQDqKcd9tXAZTsraULI1a8k6Urg5MlCO6Eb+vhK4UubB5ilQ8/LC1xCRBLGHlVvwKbxPiu9Bv1IpOPWXKzgeUlq86WDj6TK/esicHWVj99xe5ebrpjnVz804M++OMNSXKcXeNQ9SVO7GpxAu4rNrBmivPpmN2SWBS4kRBngmUC0a4irDOxv9Gfr3i4lFjBp7dEwhOW+ZGhnIX7kVba9sMW0V4488ewZbrxm+38fwMPI8PP/8I5dDz7ywu//6986yLvu6PO2Vyyh55v0hz5hqFwRjZV5Ic1LgXRUS68CNsVNst4JEGVwk9mBttDdqd5W0iDLzK0SB3IvxtdOkgT+kMDrc3I25g8+V+fT909xfHaCZs1jsgITQUIjsGnqPQO3TMEt86RQJdXege9unGZ9yKce1Bw5VaWihMsYZg5KSckWjlFauxFrLtsJb7mpw/u/MEW3pmlGlkFkCcI0blAuO6xU5gxlIPdKJ9WtCjumJf/yB3pcvfss//XOSY5fHGMprtLzNHUlqKVA96V1N07qMhUsbkveeMntyBNBJSCuwudaMNu1MdQ6SqWMm8xdc6PnBN1QcGZZ8NZXtJgJHubZYzf8fuK9+tsEy99QqnxdgPcHIX7gce9DT2y7857De+55JqQRBLzmujYbJgVLrSpDzyOOM5AXlWhloGZgHj0QMXrgpRVglUTLgZ0BPQN2IU+yuhaTuiYZeyd4KnadO15MEAzx9ZBOEvI7H/P5o89t4tziOEZVmRxTTPqWMd9QS5m7lqfvZVqnkkqT1DvPwe277OUwCjlyNqAbBkwEqYuTJZ2ymCRbpWypJiXSNOua3dtCVDCgEzbo+4JqOp/ET+WVl0oULUfnNa4NXhUzYz1+4jt6vP2Oi/zR59r8wSemWOjX6esKFa2oaUFVWYLYNZp40kkVLQtbM1sVVzP5COGsc83Wklnp5zL4V/1ceOqusyhMoB9JZruCRrPD217VYe8mw2J0YM/UeGPb9t03nbQmRsiXhvHXBfjS0gLNRn1mrOp/7Nhzz3rb6nU6/T5WLtGo9QgjiVbG2V1pN43J7b20o8auAvXIQb00Y5cfguIEZ5VvuebO2TutklOJA7hO0CrB9yIqfojvhbQGIQ8+K/nwXU0+cf8Ug6SB7/tM+YJx31D3LbXAUvMLcFcCSRBIglSauMRQ6kykAPc9l/k8ccHytSdqhJFHULdrAszskWX/XL2NG1PneZrX3tThI1/pcuhsnX7FjWYYehY/Bi8yeKFBKZl6xQIpZDHcJwN45rEbSS3QbBzv88+/t8flO4b82V0NHj84xny/zkD5eJ6mogVVCYFMbdTMXpWu0yovWMtmrGQrqFifxEdAXnpT2ItiLcDLzG2zMmnBMBG0YsHK0DDT6DIeCDq9zTz34gnvxttf87GVlfa14bA7//W+w9cF+JbNFbkwe/TmM8ceHrt2L4SJwauGqSYMqQQDpDToSBNrVzOcVZ4Zm4ZApjj55Qux2lMtoFxaAi15WW3W3lZIE4sUTo5IaVI7MHEAV0kuR7SOaHUjHnhO8IEvNLnryTGWWg1ktUKjqhj3LE3fUPPcXMOqT8rajrmrgaTiKyq+s0JdhZ5JwW3cyuDHKD3k8Fk416q4xEqqb1cnTrJjdn2QaRWekYShZmNTcOn2PgdOx/QiLx+J5oc48KkklShZosZl/MqPInWela66+vB3vrbPG1+2zFef6vDBLzZ5/GCTxU6NlvTp+hpfCXwpCNKuKi0tOu20UqWyY1HOPTAaeArWYfLS9R2Ro9nv8/xHenNaiI0gNNBLBO0YbByRxDFLXcvTh30eetZwbOHesRtvftXNO3ft/QJfZ3jQ1wX4sRMXgygc/m4zeLr+7bf3edXLelgxx0wjAWJ8L0ytuSSf0uq0eLnhV6QWkhhh8tFbfJ1H3hybRdVFcb7IZIk0qeY2KJm40W+ZmyEj5jsx9z2h+fwDDT7ztTHm2nVEpYLX8GhqGPNcJ0/VI5UdUPVF+pRpyWmqu31BkLF3BnAd4/sxFT/E2oi7nww4daHK9KTAkyZv05Or2S5NZJm83FTRH3rs3Ch47fU9Pv1wSDfy6EeCimfxY8fiw8iWVimV+9UIOSJT3FOmNdwyzZpqqsGQd766z+tvWuQv7+/wuQdq3Pdsg7lWjb7w6fsa7Sm0EHhS4smU0YXT5UqkHVjlIJ+ST74K4bakX8qALhOboRR0W0isA/fQCAaJJU4SkBFzHcVvf7JKFAnanSG7z79Yf8Prb/rdqjh1OdD/bwL4V+8/wnDY4fChFjdf1eW77ligWgmJB4IocQB38kC7veBzgGfAFvkJzw6OXHu/9AKXMXj+moE6f3Wgdh3yTo74OqJSiRgMEw6dg5PnFX/x5TG+8HiTueU6eBV006OmJA3P0tCGqmepelDxHLgrnptJ6MpMZekp0t/bFOQmB7nvufa0Y+cNB04E4HnpMl84KGJVUiBjssxJcW6KG+d81e4hV2zr8uK5Gv2KoBYLgsgyVKTWnknZO3NTMguy0Cq5z55akcaodPqAxyD0qFaHvOdNQ9566wpfeqLLR79S4+T5Ci+eqxGuBMSBZqA1UkmXzge0lK7sWIAkdazSayRLQF9NUsV1H7UMLUXpc2IFCRl7Q2wtiUmwJgHjcgudgeC+x6voYMhbX9njlr0CMThEf/nrb0L7kgCfmz8t4mjwjx+598PTZ/U4Dz/f5fp9MVfuTdA1kJFFDi1SJCipXVuTkdgM5LYM7nIfpihps9WnxBb+eelVCFOwtkiBLROCwE1SjZOEi4vw5Xs0x85WuffRKueWqxw7X4cgQNU0Fa2oa0tdG+cieJZAu8HxgUcK4uwp06dKAU6quVNwewmB59jb3VghJ+bh4Mkanhy1B8slw+XdK4pCM5GWvSri2OOKnX0u3dDjueMxvdijEQmGGvzYMoxIGVzkOlxIOcLkUK7yK8mgRBZ9lInH0PNpVkN+8A1Dbr+6zbnlNnc/5nP8TMCXnqxxfrFC0vcwUhP5CiFlWs9fdOU7Nhc5e2di6aUMlvxpC5lWLp+12Shra8DEYCP3Gqaz+DDs29bilVcJ2q1dfPCTp6Z/8r3f+49Pnz396zu27VhXD7wkwD/wyfuQIn7XRu9w/ap9fU7Ndvml9zd59Y1DrtgTs3U8Ye+uIb6NiEOVAjwb26ByFncOSvl9ccCrT0XulJClorOAMrP/nL72goQosRw/IzhwXPHlR2s8d8LnhRMV2sMKwzAAz0c1PQIlqCmoaUO15AMHOqvTyMpmXV14kMoS31f4vkxvAFtoby9xmUXP6fyKH2FNyOySZGgDtJb40qLF2pKF/GJnLkreCuZ6HMPYQ6CZmQyRakA38uhp4ZyOqCgY08qMZCClKBvt6bAjREo2mQxKd7JIJF6i8vETvaHPpomQHRsjbrhkSD/s88MnWjx30ufLj1Q4cKLC8dMVolhhA5UelGIkG5QGSqJ0PUVJr9jSn9psicmBkM0yN2CTtLouccCOErRN2LMrZMtkzBV7Ql59Y8hjL9Y5fKZNVR+pdxe++q64rX/9b8TgD97/VeYW2upzdz8j/upUnTNLmrAnObsQ8+WHa4wHhh3bYq66LOQNNw15zXUh1ho8FVKtA1Y55jauCdVaOQLw1eDOw888Qnc+tpAWpCEOLb2BY/OTZyV/fldAL1I8/UKFo2cCFro+w8QH7YPyUE2FLwVVBTVlqSjcODOVFh4px9q+J1zSowxuT+KnsiTwIfBJXROXMnc7SsRpRjSiWgmZW0748kNu+M3EmEDLLPgtcLCG0dJrmgeERjIcKqanFG+8dcCXHu9zulWn70knUzR4scWLMs869dhl4uxCyrNOZP4ZxurSZzig+4ki0YrYU0SJG4fnrNSImh9x+1Uxt1w+5G2vGnD4jOSZgx79UPFnX65x4qIHQtLra5JQpelOidXCLch5Y8fX4XFbvIrIIkrMXa0leH6CsAmvuW7IG24acOX+iJ3bYsYDy3gAt15hWWp5XJybZv7inJDVq9VdX/5K/IbXv+6vB3AhYON043d2TifXdJarHD6rODdvSBiw0LUsdAQnliwPHbB87MsJM5Mx1hiu3xfyztcNSGI32XVm3HDdVTG1ikWYohhDvJT+TlPurZ7gmac0i21XtffoQY/P3l9hECkGkebCRQ8jNJH1MMKVMYpAo6XEV4KqtFSUJVAQKEugrKsB16nnqwvm9rO+zBzcKu3RFDl7+57B97MCrSRnb9+PUCrknqcUn364gfK1s9tG9PdLM3jmhSd5s65iMPB46219PvNgmz+7e4xuXKGe6nAv0+FRlpSxebeQEDIHl/soWdL6JYCbtElYOyb3tCLWGh0nDugqoafcIP2JSsyt+2Nu2R+BGPKOV/cYRG6c21/dH/DYQZ9qIFhoa5553qPdlQi5rhpfA3RrLfXAcN2NIdPjiRsCmhi+53UDrrs0xhrYMJEwOWHROKJwhCDZPg3JMODxCxMs9ZJrbnxZ43ew/MRfi8H7/SUqlYnms49/Zv+l24dq9+aE19w2z2ce6PCpe5uumEFIDIKhhdm2ZbblygIPnzF89h43QMYmlrGJhJuvCWlUjOvBW6+crMzjqeuw0lU8fsCn3VJILRkaydBqx0xCg9IgNUIqpJR4UlBRzssNpHHDg3SRwMhm9DmQi6LhQbtGgKzxuAxux/BpWa2XMXhSesYEOsLakHMLPuGwQjAm8VXZWhOjWcx01S48a1ECuSQxijDymGgotk+H+GJAPw7ox4KqdkMwsxqSLKGlZLnkVOaf5T5DpskfU2RP08aC8giIOE7SvIFyCTIVE8UJKsrGTLjn1mnnVAlhuHzHgND2kdrSagkeP6BZ6TnZVFhgL4VvV4hVDww3XxMzPmGxsTsnVSVQIuvo97ERhFaShqX4lZhP3qv46N01wlbCWLOjNu9s73/P97+t2Wovtseao1Nq1wD81NklpGz/+umzz7x677YTTI0bxhqLvHBCgNWgfAeyPKQolpsYQytbe5WlvWK4cE9Jb+XL03rgLqWypcRkBd2kr8Ith0JIpJQo4WbuBdKlnP3U0vLTXkNPFYyXgdvTrqPebb1HDm7X1pUO1/cFviYvMXUMnrK4Nvg6wdMxnhcRBBFnFgwf+lIdtI8nRRFg5vJErGHwcolCNiTUgc0N1gkjj3e/sc9f3tfnhdkG3cSjFrtNaV0VoC3q7tM9efLPypbgTA5asKltW7C4IEmBHicSrRVe4ualeDpBKZVmgxNnwSoHbBfcm3xwkBIGaQzTNcO3v9yAdHo6i6UQq6+1BVv49tZIrPFIIidjsW6mytCOum/ukNwOIB6GI2cVn3/Ao1KxTFbb7L/shVd3Vq7/9TiOf/IbMvj9X7sHkL6ITnHDzRdp9QVfuR8+/dAUVKqgAhdRl27RLJSwdlRfgSGxUPjw6wE8N7wdmLOLkwYwMo3YhRBoAZ5IWVnYwqeVKahl1lRbFBJ5On2f10KLfJ8fbwTgMpctgW/zljbfN6XBOTFeyt6+jpAy5NRFwXy7gtCaQDIiT+TofTuS3MrHMZSBlzodYewx1Ryyc1OfFy8O6SeaQQJBIvASixenOjwmd5aKWh010qmQ+81W5juvFZ8nSBKDTgyJkiidbV+u0tkpSerajAK7sGmzz7a501WMoMhKK0avt83zIaWYLH2f+fdFVanIz5tz0RJET/Adt8U8c+wiDxyYYK6tubhwkXvvvcdPkrX5njUAH68cBASN8TYfvc/jzofrfOWZMZKkhldReKkfWs6f5WY9xbTSkbrurDT+pcg7f+sQIfOEggO0FkVWTQsHZi0Kr9lVxDmi1yWQZyMitHKbS2ldzENx4Jbu1c+AngWfKbiz7h9tconiaadPfT8iJuJzD1aZna/ijSn8TJpIO+qgsGrFLmnwYgRDkfQZDN0E2ze/vMuDzw5oxxV6WlONDWGaTldytCBK5iDLPikLNIuOeGcdpjNVLCTKfaY2glgJdCLRSpaGA6kc3EoWWWNXHmHyTHIZ4BkYM3Cvm90s28WpVCusZLEG4NnfltISRT7bZkJ++2e63Pdsj08/WOO54x6Ww1izFmAjAH//h+8irtZe8Vdf/uJNx88GHDy9g26vQjWQ+NUMbGa1uZcD21pIMpBngKd0h7L+Q2b8XcqUZUkFRXYxM4Cn7Wgi69jJdjwW+SiEMrDzOSjKdWrr9QCeBZyZ7taZLLGp3h6tJfe9CN8LudgyPHm0CtpPZ5zbPD2fMzijLO7wXW72KPpS86xjoogij+v3Dpka79NartGLFTUFXuyORSVuYJKKygBPcwb5B8mR2nubjuHIknFGuY13PSNIlCRRhkQJYiXRsihckznIs82tilIJIUeTcMUAodUd+jY/CTZ7b0frlkbflxKCKTdm46/7wwqeTrj9qohr98QcOjvP5NTETZde+tZX/MJP3v7Axl1vWR/gSkTYpPftJvKvm71QZVPNg1pmyZe+XikbVXS+l9qV0o1Iy0U05cMskXf+mtd2p+9VnqInL+EsZpxkw3xs0XuZDfCUJWCn/X1evgePKIE8Y+9Uc2tyvZ1Zgo6xC3B7qf7WOkIQcef9AQ8+10AGGl8KN387ryAs2uiKwqTV2czyaLTME3f5hP7A49Yr+7zl9g5/cGeDMAnoJpJK4jaBylarfMUQJk3GmFU31EsxORgt0xk0gkQbx+Ipg8dKohPj4h2ZDQoqj3xz4C7fWDJPzhXgXq+0drQ8ugRsUzD36LNsLRc3yvyyezddNZA0r1teib7dGPHAugw+6J4mqNXf+NiD9/zAzollejsk/aFhGLuxaoktmLm8x8uaZmGbgpu1dQdr72VGukXyuoZScY9Mcwl5mljYAuSl0k6d1knrtK9PyxKLp90wnhoFtxunsIq5055NP21v83TWcBCXnhEhER+9u0liA1SevSwHmEVfY+ZsjGjwjATyATrSAS3Jgk2NwOOdr+nxp58bsmIi+kmFfiLwYnIWl9IiY5HLBmcXrtaiksKaFCWQCxKdNRYIPGVIlCVJA9lYylSiSGSSvkqbgzwD9WgpxarS5nXW7TydZ0typeQqFXMRy++zUuyslt7lWMJIsdJVnJ3vs3l39wde8+pX3/vi0bNfyhqTc4B3egMSI/cutZb3DAZtxhsBvpcQRqTDEyE26WAeWx7BVYx6cFJlnd7K0utqgGfxZRngmX6VYhTsGYPLMrCzjJ4q3itFPhphZNhNCmytROGk5Hag67h3jck2Ze4iwNQl9g68kCePSo6cr2CVh5ISX5q8KKmQKMVBrXZRsqcZuWhF0idJFFHssWdLxBWXdHn4cJVI+fRjQUW6AaU6FunKlnbhxKkWRuIqgcofKUosLkrSyL3qNA5Qxu0nGqf7F+lEpOOtZc7cBcBVXq5cFMJlmWjyxN16jyLAZERzu/nuxfc0Ro7MRcxmILpOKMEwVPQGipV2mw1mZQ9isFeq4ZfWMPjBIx1qtZjHn4u5MA/jTVDSbb6abayaTwhdPTNwhMXF+gB/iQPNgS5WSRVhSwAfnbWiRNEkW7RaiVyiZN3iOge3HAF4efiP67YnB3aercyZO8HXLrHjaeeeWCI+fneNxcUqItD40sUnarX+Xh1gjvjgxRDKch137k0bRRRppicl3/PaDk8ebTJMKvSUTzVxWlxnsYokBXe2VpjUEy/kJciiJj/7TGNXjV8DbSBRCm2MG4qaAl0mmSRMgS5LxW/51igFg2e1RGUToUxsI+2KpV7crBI1l222AHcG7DgW+RaSw0gQRbBtRnLZlogKyyg1WCtR7r37C0gpaa202LyhhlLSbQIaGkJtGJZ2D86HKlqbj8NdLVsgG9pTZvCXqj0ZlSojABkBuEj7LstMnrF28epAno5r06MA93U6AMjLtg5Mk0La4nmZJEmfOhl5auU6d144BR+7q8FQ+iip0uzl6EyW1RnMtWVlxXkZ1eHZeGJFnGiCRPM9bxjwgS/0ePZ4lUh59KTET0xqjwpkUnZUbNpeVs4/mPSzRvctKjN5Bu6MxU02FMgYZJJKL+VWCyFtrv1HAL5aorCKxUuWSmEVMqK9M+lkbTHM0+TFYsVWkYNQMEyfUQwCn0eeOMXzh5ZG5sRrgNmLs2zYuKH2pc/+we4zp5dZaSsGoaQ3kPSVQck4TyZIkXY5yxTosjRU0ZQCzdTTz/T36rKbAuRrGXwU3GINg2dgz8cdlMYflKc2aZ0BPdXeahW4s/R9BmxlUkbPwG1SeRKnzwjlhRw5p+mEPiidyhO7qjx27Yo04qKUl+bVXnjajVMkfjR1T7B/64Bnj4QkJqBvfCqJwJPCuTapVMlZPAeVoTB0MyYvvGaT5uR0OrYjmzGoDCTKAV6mu1MoSQr0dCpwPh6k6K4Sq1i8YO+1uY8CF+UVX5SGeooRvz6bPx5Gjrn7oaA/cFuguAFJCXa2z6V7t+7+Z//0J2rf8fb39DZt2uQAPuid5dyZpTfs3Nb4uYpZYLlTYWHFZ6kl044Rldo0ablqDImgNMO7NH00m0dHIVPWs8DLjFZmuqx+ugwUJctMnrK4ytg80+AFc8uSLCnvYuwpUi/cgdsBuBgKlDO4XsXeWV+nH7LUMfyXTzZY7FcQgefkibQjcqkYnPMNM9YFg5lCg5psF4W0jrtZ0/zUd3X46pNNFoc+odT0pcTPeyjLN5er9Slq6U1eRmsxKbgNFrnKWXH/lrEWZYWTKtKBPRsroSQkUuSBft70XZpQm/ng+bGX3ZSRFUyMyLXihitYPMnmkKfgjmKR6m7BYOh2V251YlY6MQsrlsV2l8uumvy5A88feqDV6f9lzuAPP/U0hgp1+QLTlfPsGmsyVh/D2gaDUKU7Cbt63XQrJXdghlyb5QGLLJbA9cZ1rVmu1xm/9nVZXBZzBzOgZ7XRShbtXIX2Ti3DFOCF5jZ5UJnLkgzYKklnqRTs7akI3w/5i7s9nj9WBekhpSTIlutVzk9ecySKbvR1wV1O+OT1Ig7ksXEtZ3HscdWeHt9xe5sPfKGC0QF96RNIUSR9VgFvNZMLW2JyO2rH5VJFkYLbjVCTCrR1ZKZUNjMl/ay8Z9OmE7FsTkxr+zZT9V0W4xnIVwE86+nNdXc+bzwFeJRuJx5ZhkNDq5tw/KJhoZdgbIel5edZnB3S7g4LifLCiQCtfWZnK5w+V+X6fRF7twyx1ItpQ0qiTKGvhQCRuFdjwAhXtG6y5Y5S1j6rA191gHlWfgTg7sJIBFmBXN6ZXpq8lINaMQpuKQv9naXsc4CXwJ3NKswArtYyt1aOvT3tplYttwx/dU+DhVYAFW+VPHlpiZLdxCX6Wnthy6yVdeKkEiWKNRNNxd97dY/PPDhgsRsQKk0/kak9mbkpIpcKUqySBylrZ39kcjYv7F1lUx2ejaZIZaeS6XdLPysHd7qx1ug0s1Kwm9mEQqzrMpQBnlvM6UqWa+8SwOO42DWiiO8sG2cG3Lqjx/6tfa67QnD5Po/hIHEAP3bsKFNTE7sefPDxn/7YCz3On9vI/HzCoc2SS7fIvG45A5WVhTOSJWKcDi99USNGJUr6vpy2LS9fcl2QZxNP12HwkemxBXs7mSLznRzKAPd0NrKsLEvMuvJE63JSJ0Yrl7k8cVJw+FQFQ4CQzj3JSgdUibll6Rhy+S0KuK22TzMLz5i0YbvUS2mMJE40WM1lO0P2bB6w+GIVm/iOxRORly4oaUvuTSpVcvmXOSpZVjmtP83rP7K4qTTgXjqwGwkmZe6kNClApcFsMc+w2IuocFJGV7AyBux6N7opgD6yY4RxzcjZ3kxSuBqirRt8Lt0Zs3uzQNgJzpxJkJWZn967/8anT544dlJ7yhBHw00TY7xx94YOG8cqLLUNxlraXReEWZsxqHCRdElaJMIirMAIW+goSZ7hXE+Dr3YWxCrNKlYBO9uCMEueFGN2C2BnYNe5D15+pltaq1Wau8ze2ZAgVbC3Sn/WOkKpiM893ODIQhX8Qp6U3ZPV4+u+UWn06HTd0qZPphRkZWW0oeaS6ZA339rjsRdqYDzixGlxL0mHfCajUqlgU7sKWqTtYeskVDKJKZ1kyWSnkdkKavMA36Tv8xVjpP4mc3JGjYTsLh8BucX175Y2FrP5zhAO1CPMnS4KrkBO0h80ef64ZbkFswtLfPt08satg8Gm3iA5qS0hYRzQqHa55aoF+tEkh09VWGyVUqT5BXNAKhYYd3Am1WnWgrQZuFfNGSwDfB2gZ8w92iSQ7e0jRkCe63CRgjtvwi2BO51PWGzbwVpg62JAUD7iTZsU5LGTJyqiWgt5+JDiL++p0x/4UNNoKfDEqDRZHWCW5de6AM9BXpIpdlXCJw04o1gz1tC87Y4BX3iwx6OHfGzdo58E+MJVUrpsryiBO7PsMnAXr+WoyAWfqaOjHJsn0ulxB+7059KQzsQ4SSRyW9QijVhzk48E2quSXWXyW11KYHOLMGXuZNSly/ATJzC/LFhuJxw+G7HU7nLHsI+nI4QI0YdORdRqES8cDHn8sT6bpquY0EdJTTYN1Fp3YO4nSbk2RQgQJt3kNAW3MasH/Kzvoayx0lgN8gLM2Y4NuZOSy5PRDGYB8qxs1qLTccFrniVQezlbu6dSLsD0/ZAoTPjCQzVeOF0Dz0NIlYLKjpQPrGWxtYms/OLmCY5scPxaLzx7ZnZhGGou3xHzppd3eeZklWHsk0iPvlH4SQbw0vySLNjDXR9XuywAMzK6w1pAZXVDxmnwzCiQAqsccRnjwGzS62EkSGsRprzauo+Q6Y1VXsW+Xi5gxEkpWc5JCdzZRlbZ76DYLqVeNVy9r894s811+3tsmBxQr/TRh575Cr6nuDDX5uLsVs5dFGybNow3iqmoxXzn7Cs6kAusiy7BTfJNg0wpYHRXhtUJngLMeZInB3sBYidVXIeHEGX2Hh35W97FQY6UyxZgzmZiO41tS+xtSsBO2Vu5pI5WEYEf8twpwZcerNHr+1D3nP5La9CLeph1spiidIylS5zVojh0jY6Ozhm83JCcFmCFkUejEfKm24Z85r4BzxwPQPsMjMTPtLjJpErxfUjSC7SGyQtgW5xjYmW6+kqBUTJfVfLyiBLQpSnLxtEhR9kemIVdaNcHuB2N12wpljMlFs9f07ooa/KaRJQSzDQ12zbUGEYVvnr3Cb5y7wKCGO2rs0gEU2OGK/co2h1XEyzTqrwM4IkRIzUVdhWTZ19KlJeel8rP5wcuRsA9UqCUBS5l9i6xeV5spYralKKVKwV36pTks8JHQF6SKPnTAVspl9TxvIjYJtz5QJWvPVeFigbpGpr9UknvSGls+Vn+YZ3HyID4bJnOpibkjoocAfpw4PGqq3q8+RU9nj9VIY49rFT0hcZLiu8jDIikpINHvsYoyHMpqZwHnv0srcEqJ12kcTvk5V6/LT4nc1kKLW5HVuYsyH4pBh/1w1MXxZbYOtPjyapNrazNj6s7kBw/V2G506MfnkNIBVj0n391gBSCYWRo+JLLt1WpVxW+5w4E6+4Yme51iC05KTIt6hGuzljkJyfVed8I4HkwsirQFKIIXuRqmVIUXeWSJNXbBZOvliLZ+wLUniqmz2bOiXNMUvdERfhexNMnJR+7uwH4ID2EUK4uPrMHV9XMlI8ll2J5/1PJK7UFcxa1FxmDSycVkoxFRWmfeI21mne+ps+XHxrw+DE3SSASil4i0oKv1OXApkxqcxYd9Wrd74pYya0mKv1ZZYBT6b+Xgi8DdSbLjGX0HJh1TAPxdcCQ3dyU2buQKqMbAtt0B2xnhGDTDWiNpFET3HDZgJ1b+ni+whiLvnrHJEII4ihGEjLekNSrTrta0gmoMUQCbFxcGPdtMrvJYoU7f9mH5n9nDbLLgdcoqMvglqk8KTR3qdiqVFFYDLvPKgqLnR2+Lrh18aoz/a0y/R3jeTFREnPvo1UOHK2C54HUpcaG0Yta/r7rd/KM8qctvSnq6sXI8pwHm4nEqGyPeM0w9Lhyz4BX3exYvJ94WKEYCp+BwVUAitThSHW3EBaSLKM4CnJrLVYxAjAlwWaMbh3JWCuQ1l0f9760WogC8KuTdpn0JL/ua6l8NOlVtpxTsBtX+2SMJYkNUWLyvVWxMFCCxCiOnRljuT2N52ussehX3+gCpMEA2m1Q2m33DG4L5jAUDITMa0tM5pRIt6GrdYLbLa3pgdgRdI8434UsycBeliMjTsooqMt1KEVa3Oa6W8mi21ynuzuodcCtU3miSxNolS5ZgipGK1c1eOSC4INfaDCMPKh5qTwhb01TI5nDknOSH9wabbD2ombvSzLF5KUPL6XFNfVA8kNv6nHn1+ocOuduvsQo+oly7k7ikj95sJmk24SsXkkoze9Og01lGQGdymIwk1nFKdBtttLa9AZwIZnbGWK1RFlrD686Hfl5GC3eK0/pcuwdG0sUWbfpbWSJE3dcK52Y83MgtUQphcWgX3bbOzZ2l1/4V/Pn7iccT5cpII4lvaGi3dVuR7BYrsk2inT5kxSyxeYnLPcPShwmRhh8dA+YIqjMgzVZMENmxWXAHpEnWWePLjad0lk9cw5um8/2y6zBfBcIaUqBpXuGNuZTd9d5+kiqvYVGCYmf9YeWJ6+uYnNKcuXrr8ulC0p5m/JsQwHjgG1XJ3804cDn+kv7fNdruvynD/v0jQdGE0lJ37hSWmlcpWFh14mSVChAninx/IZLX2WJVaVNrwNpvYqUabDpwG1s4d7INEm0WoeXrdN1T8caLV5idcotfg7UvaGh07P0Q0fGFuv6MsWAv/emG/7Vy2647Mf1kZPPjXtc/LYNkxcZrwPCYIxkGPrMLjU4nTTo9NXIQjtq7aXBSpqOFWXSLj+yoHLV/yvLQBejTJ2DW5TlSbGLmsycDGVTNi9+1ukw/AzcWpl8dSoCyuKpSs6Jp0MOn5d85Ks1kBqEY++8c790w408WcVY5WPNfiizI6VyBlNO9hRzBcuZTWPT9L1yMwatUXzva3t8+t4aB8/6IBUmUQyFxhNZGa37IjJJg82k5KCsiQmcTMLafMczUodHljS5lC5RlEkVY1IGT4nPShBWvCS4S+HJ+qvaOkAv3YnO6LSW/hDOLAnOt2AYGZJ0qJSnQ16fLHzbwvLBcd3t91C2xdFjLR493MT3XJVZFMW88cZFjK3SH7qa26TkP45+UVFKHax/i45o7nzJEql7UmJAuQro+WtpHxmVygOVNRzbNMjM9pspfG6nz1c7JUk+lVbrOAe3TB2URMV89oE6B48U2lsK6bzvnL1XbfNRdoPK4M6l2arlOH+fMg8lNi974lk7mxEO3DLJJ8aGoebyvUPe+oouxz4SECYShCYyin5mt2a14il7RyVScqBbZQikBoEqfSdlR5lcuTALK1NbOJcnNmdwKdOcAGKtVHlpmIwkBkfATYELrSUVHxAJmzYs873f3iOO3NgS37fc94xAq51gK+jnToxx+sKQz92zkyiq4Mni1B87HnPpVslY3eYZzGIZS5e7PBgvag5yXihrrpEDK1lKJVCXA7Zy4qTYGrAAurMHCzCXtw1UsggulcyY26BlkoK+kCZKlqzBdEeI4xcU/++nmgykA/fq4HJ07snohlji6wnNVReyGCHjAr18SGnpuaY22sp00KkmTjyCJOYn397lk/fWOHZeg4og0YTCQyHQFGOOM/bOJWEmJ1VJrpSYXOXfyaIo+fXGnX9r3fXJ4rPsetrMWUmDT5HLldGtwkdOU3lhKa9upV8LkXZpAbWK4pJtkv27AvZtL/bg9LThtVcPCMYEQU2ik0igE8XOps9Y3c2zM2ltfNVTDAa4li3PzaLO8xOl9WL1krNGfZery8palXX6L1exdh5YigzQZZlSALv86sBt0q1MTKrHy46JKQWVhfb2dEg7NPzBZ5qcmwvSEXHOGtQyY+/1pcmaBE/pgn49rBdSZdWEgmzG+oh1WPLEE0UiFUms2Toz5L3f0eFXP+jTilyFmTGSAcrZhkkB6KxWvFhX1pErJSa3pODGkZzFOWapS+wMB0GqwcXIimazc2FHrzHCSZgy0NeVtWWQ5xLQfYbvQcVXdHsTHDzpKgdtiluthuxq1vCVh75su2ZjzcMbBmjtEcWWYWSIYncSPO2+VeFvF8su6ZcfeeS/KuntVeBeDfTV2jtjxvLGsnJVQFlsF2jzPTFVKbDMZUq6tUkmUbKRZE6mxOncPae9dRDxiTsDfv/jTYbGc/JEaJe5FFm9x2jtyQhz5y5KMen169H5aEXhOoFVHmzaIoWfWobZiInYaCo65ife0eXwKZ8/+qwHMgQUicgCTtJgs1zxZ0vMVISZlkw2gRVpYV1plVGpg5bbmrnmTmVLyuZi9Q0v3N8tJIvNk4jl+CzDzHo5lBHCsNAfCmYXnQEQxTAMLXHaO9w2NSYna+ir9oT0Ng7Z2hiQWEN3oDi/4DG3KAgjkydbyiw90r6wzpcrAzt3FLK/u+rACw95HeYWWZS+agfjnLlHWTwLLB24Tc7UKtXe2eZU2aw9lYPczRpcWoZPfrXG8jADt8t2eZJ85nc5LV++MXP9TVl/r8X3am1ZyJTCQSnmpTg9PtLpk9WJywRlFMZo4kQz5ie8/XU9Pv1AjcWOAhmBUUR4uR4Xpe89+tVW64NVkkUWyZ+8tGA1m6c3d3Z8QhYMLkVx7QtGLxWlWfK6mUzurgF3+fsIl3S0QxiGbifk+aWYC4sJ/aGl04/oyYjNm2K01LMIbx7rXQBqVKSm0p5AqRqBUPllGdXX63yBbwDs1QmA1ZIku6vXY21ZCihlGeAZ4NcBt8pliMl/zsGd1Z7IQqJ4tZg776nw6IEqpqS9VSm4XF1vUvQhjjoFZY1WPh9rGLyUSSwnfPLRd6YAep7dtC6Fr0q+eJx4aBNzy5Uhb3lZjw99zgcVgpBYJAOh8kDT3YAFm7/kQ2T6O8N8FofZIjAus7l0JdMK69yUFIhSFIw+cv3TfycDe4Gt9N065yvDXZa+j9NznhgYJDHtpE8sY2I9wOhlrNLoT95X4cJslYefatCoVRgLBBsblvG6xfdFOpe5qPJi3aVjVZS8SpZ8Y3DbUt9lSXdnQ+RFSXvnWjsDtyn9WQHuEWDLTJ6kLC4zBo9R0s05OXZa8sE7G1zs+G5EtHSD3pVw7J2PkhOjentN5q50k3+DOHNVgme0FmO0sq6QKYVtqFDGkCQKKd32JxsbCe95S5cHDgQcm5UgIhBut41Beix54FfKY6xh8SzUkk5/A25pSkGp7Ci404kUaVxVNEFkfy5M+Xw5QW5Kejxj5tVAz/GUw740cyetR5ESAl9y7V7Fa15mqNdCPNVnx84+jcYALZIJRGzQ4Ti+7+X7oVcrUPHdhyXpFilxUtzNZTekdIuNWmUl6ZFd+BHGLs8RWRVUFrZgBuZsRwP70sFlztzFs5ApJamSF1Ul+H7EMDH83l80+dqTVdfbJp2uc00N6UzGUva0GJe2GtyjNujqwLt8qkas3RGQpyyeJX/MqF2YGIk0NmVwiUolSyw1Kta86oaQH39nm1/8PZ9hLEEoQJIIj4EQqPzapI0Qdv2gs6zMR+SKdZo7d1XSMmpZki2FXCla6DI2R6afZ93vbPZzSZBnsuWlGMIlegxxnH5DY4kqGuJxZNxA2SbEGzHxNPqKXZrNY5pa4uP7Gt8T+VbVSlrCyFVqRQlpvbDNV7A8oCwv06zPbqOsXfQNrgfs1Qyu0pEVOaBTJtfSpjPzCtdEjQSTBYurVI7kzJ2yt+fH3P24x6e/VmMYelDNEjsFe2tZpOVV6XiKG3e0pqYM6DUkUGbvEsjtGpZKgZ16zDYHeprhTGWKmy2uUGkHfrUW8/ZX9bnra32+/LhytqFwm4OFQruGCEMOMiiYvBAC7r2yBcitdZWEtnQAtvz/iZJsEQIrXb2pA3Yqh9LKrDzITdndnVCbum2pNBLF+aP0PpvYEEWG3sCZIVJCqys5P6/wPA+TwBX9gKmpAH3F7j6d6T5jYuiqBmXRqyiEpd3TnLwQEMWCOLHFCUlD2RFHZT35IVcD3q5vBZYCykJ/v0SAqcosborXVeBWcpS9s8DSAd0Flitdy50PVDl0oZLuXuH0t0i1d3kcW3ks25obF1JnQpSW3m8oUkYDt5FA8yVqxDOPvBR0SiFTqaIJh5r9myLecnuXR18MaA3TjAsSKwRDoQotLqzTwGaVRCkln7IoTIlRSs2CTxD5e5kjsbAY8wAzBbcVZVYvJgE4zZLWNonRM1eua8ms6m4Cc8sJ7b5Nkz+uQVwK6PZjomrMhm6CXulFSNFj/+6LWKpgRTrpP2J2GYSydI7N0OrU3eqdeZ1pbXA5mVMuNhLrgLu8rBf9fdnck0KS5KDOtuleN8DMwJ0CfATUBXNnWw7qkmsipctgGhL+5HNVfv9TTWy2NYpwW7Roke74m+nucnKnXO8sy8ddjNnML9DXYe/V7Xyrwb6ebVgGtpsjqJDCII1CpgGnUoafeFuPo+c9fv/TiiiWrvvaKBIkA9z0wjWd96tAPhJwyeLvZT2bZSa35ffSyYYc8BKksRjhOvEN2a6elmwIqaRorsk78UeAXVSRNqqCxCTMn+uxEnksLikC5Wa3YKEfxlxzQ8hkc4i+80FLEifEgwEVFbumBQFeYPnMQ3UWFsa4dFqycSKiVlF4ntvwKJ/UXyKrNbbZOuAekSJl1l6ju1NAj7B5mcFN8T7PShbsLVM54ioGTWEJygQlI3w/4ugFyafvrdPtelBLwS01Qsp8J4ncrVlzPGvjDUqvGZN/Iw5f2/RQaPH1mDvX46mbIle1tkmhiaKERj3hbXf0+ML9VY5ekM5VSXfQSIxmIFwTQxEU29LNOXJlR4GO88dHA4zUWbFORmIKyZJLlxTcmEyukI4Itci8dU/kN8mIBC6VaPiepV617NtpeNebOlxcafPZh3z8wOUerAUTDfnOV25n97YK+k23Vnn4wAQ//6EdmMgtE0IIlJaM1xRbm84UitNSRZVbR+VvMGqVjaTcR6THKgsw3Xt+jRUo7CjI88Iqmw5jTwGeAj0b1i5HWN2U3pe8b+m6dYaR4a5H63z1qaobDi5Uag067R2U2btkEa51g0pMU7rsX5fBvx7YS68jqftyCa1J98A0FiNNvmuDMQpjEozRRIOE114X8rpb+pz5vGZoUlfFOOswEooB6Y1rslihVAVmVh9EEXIqiZMbGf8LZ/shhWuPk6lkSWWHIutsTPElRT5VzlUs2nS7d6cQyJJGlHAFZLPgtbJYo+j1Jrhkg+Zff38v3XU7QQjBUkvy1Pkp7j2wGX2xf+nKXPvwF/Zu9L8ziYsRZL60VDxDPbBUA7fp0zo3c3746xW6jzD3anDLUQbPLcGctdOppoIRQGdVg2Uwy/z3hWuiR/S3A7aSLmOp/JivPe7za388RmJ16py4rKUo+d5ZWWxZnrwk0FlHoq0KlEbRvFaCFOB2y7YZkSfkQeea5mRpXIZTuIBTGkOcaHyV8C9+pM2hs5r7HlMYX+Ysbo0gJN0DKb+wadCJcHuUmvLXTdk1uwFk5uCLUl6mkBbSpv9J+wUk6b8nhXNc0mM1qRdeXs0MWQa1NJkhPYVWgEkE/aFiYaXCINTMLTXwtMOCSEnz2r2VL9Qnp1fUseXJ7pGTs8cqmh+frkRMNQTjVWhUoV6BWiXbnEmitcxHo7kxuqKQF6WnWiM5eGkwrxNEjvraRQpepgkduVp/ZxJFJyX3pLAFs1Y0rSK0jji7LPi1D47xwFN1tymP9N1TaTzpNpAN0tETnsw2tCrvAZR64uk4s6LxWabHU+4hLea2jLTfrepMcjeyYDTwtqWxDOU4wE14zXZYyOKCfEZgNqvbWqanYgJtefRZn5V+STsisel2kCLVxHLkZhQjq1EO/VXW5+jfLP35eqUK5RUh+4zsdaR+XKQST+S1J8XxF1rdDeNU9IYenZ5HuxfQH2oadYmy59/TXXz2kL50k9sSUAK+MGgl0vnfNjfv8wHy6RSpnJ1Zn7XLCZtvmLxRZSZPGXOVHVi4JgW4tVwF9CwVX2bt3A5MpYmKSYKED35mjL+8p46tqFx3IxVCpNo7Ze5iYtUoixe6NWvSoNDcJeZeu86t9xDFeA5Ws3q5lS0djCNXjVuWbhsSaWSJxSUy0STCIHuGt7+6zwvHPX79/ZpQZHWsEowgQTNIQT4KycwhG12yY9JgzpQWdGnzaWZZL3qmu/O/lcuS4v8V6bFAqs2zysR0OSsH11k3f5wWjhnrxij3UuvSpOMlhDB0h5Ja1Z0X/fKrfIRwvwxDwzCUdHqWQZg4WzCrBMvHNRQgp3yx1wX5amZ/KXCbtcHlXxfc5e3usv0bM91dfqoYqRK++njAH3++ziBJp+DLLLGjVvne6wBb2jXH+vWylmv979E/KCeGs0aDtUX/rqHASopAM9PhItPhqbMiZRp0KhJhEEYjhdud+Ue+vctDz/h8+SnprDhTyJXYaAak7JgWe4h8uOQoyPM00OrtAfPufZGDnDSoXA1yIbMpaBZpsowoJfdIjDhMNp19mWQqOWXvLKiMExiElm4voT9IOHmhiu97rifzFddecLeSDYmjkJPnJzh6tobqiXTYfZGRKNh7dKldk9hZR7MWux+sD+58c6OSDSjXAffq96PPUSswA7eUbsZgbwi/8odjHD8XYFeBWwpRZC3LFYOrnuuVHxS62yKEpFz3PIrpVe5DqdBqFNTl4qsidT8CbilTnZ4yuUhBLlKQC+USQlIhQ80lWyL+9Y+2eOhnAzoDkW6uKxxypCA2LugUJR1OGkyWQZ73dpWSPBlzizRStOWYIwO5oGi/L28hJG06U6cAtjt2mwa/6b2Y/htZp332PjEQx5ZuP+HI+ZBjF2OqVUs10K6r/tOPbkYrxUqrzfzsHBvGYKIB1cCxdZzYfJJnxtara7hX22e5PClpbSEKzS3VaotwLbhzV2QE0Bmzr3JJVMrcKvW7ywGmdJtGRYnhtz/R5KkXK87zHnmmWcuSLMl3dSs3NFAGetliK4LJ0WV+7dL/UnXPOd5tkdWkxGqFVZhd5DTLmTG5tGkxlpMoQkqEUYjEIIVGGsP1l0X81He3+a2/GE+7fwrlbaUgtLJwVEq2YTkALYCZgq6U2i+Nyln13qYzmEsgz1YKW8zTca+jLG5SEhApmK0gL0Yz1oE7jB1J3nKl4E0v7zM5WSGoNDAmRr/5dd9Ds1HniacOcOfxz6MnAxo1d1G7PTdJ3x1bUYhTHtO19nVVxd3qwLPknqxO3shvCG4H5CL9XrYEkwLoMkGnrolSMboa85VHAv7o4w1afQ/8THt7OXtn5bA6BzarVqh1ak/yOGQdnVIW4qv8wxHXhFHWzoqqy83IrpnWVeXlbJ3q3hFXJZEYYTHC1ae4924VFrGhWQn5sXd0eeJ5n7seVlCLiy8nBNZ6hEYUsZUZBbcQYnRPyBLI86xnmuQBCjswY2rjTphIO/RN+m+KNAmEdeUDosTiGbiNSX3zkkxJjGUYJXR7CUJAo+rhmQbXX/k6dlxyFYN+F7152qdSDbh0h89rbpJs2zRE64j5pYBOL8Da8v7na5MaIxd7JMEzmnbP93JZVdNd2IF/TXDLVVo7K56S5RrvJE30xEgv4sWTmv/3Y02OLvrOEkybiBEKhEy7dRjV3iX2XtOts17skWH4JYPMr0fb67D4mmBzVKqMtLNlIM9LarPqQ4kRIk8AxZHhksmYn/yeDicvao6cE1hPpLTojsBIzdCkDkbWruO8O+deyJcGedkkGfl95quXi61lOpXYpHsKpb66SUuzRX6zF2RgjM2xV66oXe7FLKwYTlxUjFUt2/d7TG3xaXcj9MxUSBDEhJs6zG28gBdIXjgFh45PUlGaSqBQcp1JRasucJnlCvYrBZWlTvjVkmQti2eSo9DgI8kbVeybnm8zrZJUd8fIlL39IOZiW/ArfzjGp++uO92tnGOCdCCXktT3HmXvnMWzm5r1gZ4T9EsEnKOB5irYlwOpdXzxEScBRjOatgTqlAEzHV4wt0QIhRAupS+ERgvD217dpzUQ/NxvKWZXBASFyAJBIhUDI0blSZbcsSkz89JMXhxzKSOaanRTOhW5xhaO1V2cKtY9F7nnDnkLnNaCjQ3Jzq0hL57t8NzJgJVWzOmFkF1tWGkZdGMsBsHFhW74pY/eP/nG549HaALGA49LtxlqFYVWxbKQ34ela1W+wKPApjQ/ZG0tSdka/EbgzthcrmbvPJgs/+yCyhDDZx+s8ZXHqmmtiSrpboUQAi/V3uVJsauHaa6RJ5SbpkVh6yJGV7c10E4ZsXTpy69FA4QoEooj7kKhPaVxutnmkqXUgS9chlMYiZHOVTHSuqAz1ihteMPNQ9768h5/+gVFmIiMnvNgLjGaIWU9XmbelF0zKbIK5IksblAxYidmd7JzaUTK4nmFoSUdv11e2DJpXMQlJi3XlhIqnmD/dp+bLtfEpsXyoEFcDb90caVyMQo7qF/6pd9lfPMrVi7OV1daK/r7l2ZX2DldYcdGj8kxTb0q0elmg8YUGdxyAYxSpI5H8XPR7T5a5jrqjqwnS9YD92hAWQbzaAmse+/piEQk/NX9Ff5/vz/GiQuVNB3vOeZW2ZwTQVW6tLyXPlU5mSMZOaYilhClbcVHt1Rxq1f2ftRaXeM+vVQS5yXcm9GSgdLGq2lMk10XUkmYc7J0Qjb7u9ZappoJl++NODOrOHJaOz96lc6yyDSjXt6rubw6rf65uJVH/qns5i+tYeXgO9sNel1lIAVSpBnXVO4kJu29jN0Ozd2+TxJXkVazfcuV7Nk2/X+OycOP3HrLq90ePRvHEnw/ZtcGi71EMzHuM1YTNOuWim+IYsFiS9BPfXEyH9yWwL6K7UaCyrIc+RuD264fUJbAL8vpeBXj+TFn5yV/9Kk6h45VoJ7q7VW2oL/KOXkp9h4pqsou5GqpIhy9uA1Y11ck6z3WNB5TlKqul/jJWthkqetHpil7IdI5JUa4QBOLkZk8sW43DmEQQhMNLZddEvEjb+/w2HM+J+dLB5PqcSsFsZUMzGo3JRML2ckomNyucleK5M+oRSpEEVAak+ImPzbnfec7IObKwEmdYQTL7Zg4MQRdSaenWOkofF2jlfhsTRRR6FhZA1x15eX4QZVqACI+x1jdMlaPGatHTDSHLLUtB442UVLga4n1JFIVd3x+160CtZJ/G8xdljQFuKUs15kU+luriKW24D/9WZN7n6pCpSxLMoA7W9ATJWCvcn5GrM8RVhEjYM+u8Yj2FiMvf41HCog12lvkMkWmS7PMO35EmuGzuT6XJU9ciFSqWJMGcxIhJInQTnIIg+gZXn39kJ95d5tffr9kuV866DTwtLhxcMKWgZsdmV1jFypS93E9C9HaYvJsGnRmN44UIrXk01Y00uRXyvBKCbf1owcTzYRnTsa02oKpWkyjltCoSmoVwdXXbWXP3ivo9fpkH8vGTZu48or9d9X0wq/t2ynYvaXL3u0rXLlnlmbzHH9+35CDp0La3ZgwNvnGr9lFzeu6R3onC7CvaVJ4CXCXS16LLOZamZJZgVImSFHobqVihtLye5+u84efaNCJ0kKq1Z53HliW5guuw97ljv91M5hCjIB6pB48qzL8a0DdkuO7YPWyg5ABn9IOxaX97W2pV3NNIFqaL+6qDSXGum78JNbUNfz4Ozr8xHe1qdoYkghM7J42BptgrSE0MLAQGkGUbisSZfvn2NKGUdlzvT9LJ8SWxyHHaW9lPvfblI+3CFqzWSjjdcNVe0K+5/XzzIcdnjoDRy7AiQsx8y3JC0cu/tqOnXvvmpnZWAB829YtfO3zv9zTzJ3YtnHIto1zzEyd50tPdflXH5jgoWfHkJAmfYq7ckQ7ytScWNN9wxomL4Pb1Y/YPP0uc6Y2q8CdMfWq8lcV55WC6IQXjnn8+V112jm4S9JElgJLafM5J2t8+9XypBxcZuy9HtDLZsTq4OjryJM14F4tTSgyeLllmLkNBl6yZry0U9vIlijGzRo3VhFHmoayfN/re1y+d4hMEjAlkJsYTIK1ltDA8OuBPN3+L/5GIE83EM7AnBjrsrKmDPQC7NmpVTLbFE3wyis1v/wjC7z+lvNc6PY4vpQw39EcO7144kd/+pd7Mxs2FRIFYPeVb8bzahw/9ll+62PHefjQNLPLdap4bBu31IJs27iSHMm1UQFiXWbsjJXVS4M7Y+kc2CPMnaRMXnJKcnAX9SZSxig/4cAxj5/61QkOHAmw3qjmdvKkkCaeKAWUcj3tPcre5TKEde1BMYrvtcN/XhrkOYPnwLW5dSxzyVKu1yiKsIpCJPd5Jv3cJJHp93CWobRpwkeoVGYbEuN2QRCh5eq9Eb/zc8v8+PsmOXBEgB+V/Ot09ZCKMC2KKsuVEV+opMmzstpcgq1Zt4rzk5Q2j02MC9YzpVDe1sQFlZrFlSY37oWbL+vw0287zz1PQ+i9me984xvp9fv80W//m1GAL/c3MqaqfOHhrXzl0S1IGbCpYpmoGsZqglpF4ntu9+B8R7MM2Kq8AdRogdRacJu0ntvkujoDty6n3fMkUMHcq+tLXM1JjPZiugZ+99N1nj5YIVFqFbAduKVIHZN8+xE7yuAjdTWrCq3KIE7/jBKoC53yDRXJuholt8VKIM/eZylsmcoTYW2+ZUieLBEi1ecy/ftuhopINXmSWhAmdV8SkYI7BZeOLdf//9v77jjJjvrOb1W92HGmJ8/mvNqVVllaRbACWSAbAcbgQ4exD2RzYIwxHMYCm8PgM8kgOLBBBB+cLAFCEpKFECcUrISEUNxdbZzNO7s7qXu6+71XVfdHVb1Xr3t2JYK0grvSp7WdpsPrb/3e9/f9pdUR3v7qOt7/WQf1hKiKD4uPLHeHdwAAPL5JREFUA4CgDG2hS9ZSqdDImlKroFruJPZXJHCOBPJOX840DBUEXAgkgiARFAlXY7wbTYbDzAcXBOWij0oQ44ITEvSMlLBwSQ1JPJu+QwrwWtlDoRBuWb+2uHXrxsLSLTtbKPoUxYCgGFKEAUXgM3guhesQPfddD3uipkWasKYriFyn184cbmpZbkYFGLHBLea03JQpkBugU6IUkyYHrr6hhOt+XESb2klUbpfm7RKpai3TnJPO6OVcabF5YNuyVxbpJt3OpmXhU+OGPPWwf+quWk0TRUQ+pJ+r29QANlZcUA1q6Pt1xiE05RJpVFIDXV/nkPBIjMt+ZxYbxhiuvr6MRgzlrOgQO7SjKShDlIbg9Wc0MXSqkqSklVabhvFhGnrObcmJiWISogZpUYkkUUY0iSXaWnIlhEFKNdq7FTEEXoS9EwVU5cDW+csKW5rt7A3S5LBPfeqTOO38s7cS1x/YsnPy/PrUNPqqDipFhkLAEPoMYcDgexS+B3ieIv2eNe89m2aWBzdjAvk6SqtQ2KrGmctyZ4pJ5lg6mne7ToJGLPHVHxTxsa9UcWDSy6pzrO5UIAyu1rszzdtQKlu7z/c/zCb6ZsUImfxJtM9hDasl1lwhYtKKLf3bJPB3nC3MoK2UDlHk6JB5/blL5oyMKbvOMsTabUYnh35uZjHzXcuqZY5T1kSYmaV4cpuDKCYWzcheVBVLZCTFONf2IrB2t32WM9AmyJ/9YBmII3wP42NwQRFzijhhkDLBwGANA0Pzrxof3/wvy1ec1m3BAeDQRAg/CG8JmXvJwqHwxGJA4HkMDiNwGYHrEriuKoLJgG2mBWddXbMJC52Atnm2qXiX2jJ3OJVzgFspJRY9CQRu+PcC/v4rFeyf1ElUKagz1YRqzq2mM9j9VvIpvV2ZkR30pCsPB90/wrOg3c+48sUOc4SthUzZgdGSjYZsuDjRujgBAWXKimeAljrBSYIIBk4UWSbEQRRJDFcTfPCPpnF4huJbt5SyA2FZaQh0W3KdT6Kq6tWWSTtgpdczrT9r7Jm35J29L+3qCiFVLng7JnCaFJ5HMNuqoFQt/3zlguItzWYrdyyZfeOm734D55+xYmdvEacXQ3FyuaD6MAcegeeR1GL7LuA7Ep4r4Zl57649+92apGBb9NSa271MrMLhnM5tFzJkMqDp5+34HFv2OPj41yp4ZEOoasxsemJqLClJLbdHDJ3K/k1Lz2yfYo4yvMxSw2qdgVyOfGatoUexPDsL3tVE37Lc2RzKbBN1jQ3vsOLG4Jo2abalTi19h5W0LboUQLXKEQYS9z3qYmKSaoHbssD6um3JzXtZEQJr13bs/I7beRWJ5B9IzzBaaeFqPs9sW6DeEGi2Geot/+aHfr77qgtfdnnudR10rFPWjYIQgunDdTTqERotD80W0VxNhbA9bbk91wZ0HsT5CnhpceuMhnRabfs5lNjg5in3pjSB43Fs3evgb75YxR0P62BOCuqMd4Oo4aiZ5m11qeqw3kcsaIDRtedSTKzTau5UmoWln41Bt7vNpj+qyaDT6aKZg4kOpxMgWnVIx5/oXA9BzKh1Y9E10EX2mTnRbwIGDkAnmoA2JV58cht/+44pfOiLPdi2D4BrLLWx2kgteVtzbUlURqApVzPV8dJqLSGlVKV3MJ83s+6CwlKIpFaUaKqicMFBocoqW5HAdEOgXPExNH8olbCPCvD155wFQpxofPsG7N15CPsP1bDvkI92rJQTx7Lcnhmm6tjdXQ3/zhxI+19q3yayG9ipPNghA+qL6ybYMc5w5ZcquO5HBUTUUbuOWJr3HAEdxxIFctRkjuqjHLgti5pq3p2UxOIlNqC7D3c3sHOYlt3/5qKa0upEK0kKfqWRm9xqDWwpQSQFEUInMhEdRaQwvQAzGkNT2kJ0u/uEAIET43UXNcElwYeuqmLsIPRBhAVyBXhJKSJBNKB133Aof0fqzyQgIfSGM5PbzG0hVDuIbLKaRNZZV0BKmhoCRtRMngOTEjsPJ1jdW8EFF7w4iuPkmQEeFHoADLxv456Tj2tMHnrR1j2z4IkPz1H0xHMFfFdY9MR0lNIV77n87Yxzq85VIqsE7wQ1ya6nYXgiMnAzlSE4dpDh/Z+v4ru3F/PgtjVvqtoF+yTLNTFat82/zYUcwZKniVM234ZtwTNQ525bG+HI6EYqD9tde9PefjJrUwwjGwKpZSNGHzYihrbuJA2H64w9ooENDW6h8mVg+hMSqlQmYX9+9XvFiYSLBG+4eBYOAz7wuSrGDhoeboNcAsKBpAwxFFg5ydIMXGoBmUDlx0iASZW0xoX6bbgk6VnWjA0UHZubEALXI6gUHRSK0yjXSrj8Nct/snjxovdNTEw8M8AJGcSuzf8+s2pRedOnf+yc+8CjMVu/WmL+IIXDFLgDT8B3OVzXmmBmh9F1ZbxpX6BC+ZYFJ/a/3LpfV+UQDkay/BLGEjAnwb5Jhg9+oaLAzTqdSTsNVislJJ/nnZWhIWvJYIE8Z6nRfT2XBkvytAVzgnoO3RApA5nDypP0ns5EK6FTTwnJgj42fcmcT5KWtCmrTCwLDm2ttTSoS9QAJRNCl8+YABCgMvYcSFx2YRMJJ/irz/Vg34T1nTroiiQMCVXg5gLw9edh2v/hRAObKivNtf/CpAQTSq3iFEgI4AgJRwBcW3ZAwqEUlAJDfQ7OPIFj1+QsPzBZ3XTt926fufz3L3pmgAPKKG7bVb9i76Hh0xf0Hzwp8Ak8T2UWFnyOwOeaf/OsH2Au1K6SeUx6JyEyZ7kJkWBEgORoCresukVNiKqG5w7wLzcWcd0Pi4hUfq6uyumw3kSN7PBIvkKe5VSTfJ5Jehvd1jsH9E5Qw+bnFk3pAPQvwsPtYodchb0d5cwpKllQMQUxAaDbukkiFNhBVYKVzKiJwqdRUDr4uSU7gks44HjdS2axabuDT1xdQWKjx1TrEGPNGbiOqgoCJCYGIc1vIcGkccyR9i1PYxI6N9/hBA4DEqaisFKqNtp+TNGKJPaO92LtitJjWw7NXNGIKnMe1zkBPrzkZfjWt6/lrzx/pdy8sY6+qkRPKUGlmKAQxgg8rsFtgjAZcIlltdVBkunBozpd01h0BXB9semJSaIiCZjDARe47d4Q19xWyAI5c1julHdrnTutsbTC8PaE4lyKb0cG4VGvo8OxTJGs+Gwe3EeGtzzCv+q6pid6Dg5y4M74t/k3q0yXWdheO6Awm9BQFUBRE6goJtKzA0vBbWiLcTo5AI9wvOHiWfx0g4Mf3ltQQojR4UwKYHpaoZCSISYEnCiLHBOiJmVoasKIydSUqq0zst/EGCSTm+8lWS6UBNcKlo/RxevkSC/hL77oojmP8ZwAB4CLLzwXcdS6puptWYlkXzH0ExSCBIGXwHUUwBnlqWW2wZ1ZsUx7VSmR1vNyVCVTTtJIJUnA3ATUAW66J8T7PlfFU9sDrXVbzmRqyZXe7ZGsBI0ZS2Aoip1vQvOOZT6nPZPnOhOq1PchHVbcUlXIXOA/MsxTR1JHCrs7ytrgNSm03VY8r4tLaxMQEN1TPOXhxuwbRzP9XhlNgYCmLUzxegDgwPFLYnzq3VP4SwrcfE9B7UpHb880eUYAwtGbg0GAIJIECQEiQlJg07Qog+b8HDt92dHUxmOAH0u09GVmNkFQ7G8sWnrKNWEhPKIROerZc+tT14ciaWyoj9+20HUEqsUIgR+BEoEoUd6tramqHFqSptJK+02ItE57wqIxwgI5ByFZ8TD1JG64K8R/u6qKJ7b5erSIndedVcYbvTugUk9E084lsTTv1NHMLITp18KY1SbZ5Nqkt7PKHVsTT1utpVHOo1X1WPeZiCgB8tHRjpmgpozO6htjN0iya1xNzk/2mEAuJ59ZaRG0My1Cd+SdqxSQ5X0hI9M+sd3FB66q4Ka7CsrEmszNOS+mRYUxAJkhmOucllIkY9ElgYzV7xG4QE9BgkHgra8/d6y3Ulj9Xy5/dfNIGD6iBQeAgeG1mG1MYuuWH2HNwv34+RaCibpEtchx2poYgxU1w95UeSdcFcHald9dO8pQGJIBnJCMnlCSgDkCxAFuuFuDe6uvAzlWZQ6xVROrtpJk40aMY3OkJj5peRjNFzXMWUGP/O25oprZdyTPbD06ftZMElSySHqb2HkoRkExCoVMubepisloS77niCk0UGqLstywvhc37dSI1FZdn41NYxIwmG5WPFKW/GN/Og0J4Ad3F9QfM4svEYG0NMduF6enN5hEsuyLCm35pd3xCEgk+qoJTj2phUpR4NCMi0c3FnHOuhBnnLwC1XLPUY/tUQFe6pnXnpyeentMF197zZ37ilddP4BW04HvN3H8smmsW9zGGy9qoRwKUABD/RIgFEnkqFnq0u4jTix+JzTIRd6KUw5CBeAAN98b4AOfr+LJbX4WgieW3p1eSNqs3jWgtlSTjNN1DJU9YoCHdN+XoyumsDgP4i7p0NYQjwZsc4V0cPEup1Jry6nurb5+PqRPUrXFTAaBlg7TdmwdISojHQJZeu2RPnJGxSR4JHHCkgif+LNpCAHccm+YOZkmT1YoLg9QnXhCOw6I8ag5IDhIxEEox1BfDEY5yiHHmy5qYs2iBGuXAoHrYrpJ8PnvNrBk4emNMMDbR0bmtY+G4aMamd17dqK3Wup/5Mltj17xoX8eiZoOhCDYNS3QaDUQsiaG+hJQItATJnjthQ2csCTCi06KEXgMcexogJMsNJvm/WbgJlSAEQ7CBCQjuPX+AO/9TBVPpeBmR6AmyqkMKOATmSZROSSf520aadK5qIl1PyUkRxcyCmHRjg6akhYRk7noidkcpIvO5PyADpqS68pLpfWc/PQLxkywao7BAXbeT+d9zH7MtN3I173Szpz7jtJAdV8C5gk8ucPFez9bxW33BuCMZmdaA26bonRub6k6ahaDCC8+qYF1S9r4vQta6AnVsRmqSTDqYXqmBwcmehRLQBsjK9+1NyytWMfjmYP9g4t+OQteLA8jLDgH2y1cdvklZ97x2CMPuYRRbDzQxMPbJBqtMrYdUt4RlQme/EoFteIs/uIPJ/COSxtwXdWmQEia+2629bZBLhnBj3/q4z2frmDjDk+ZZcryByxVTUjqVLoa3A7JhrVm1nsuimJRE9ux7KQl2qLnpcIObRzZ9U4ak6ZtPAuukpMIie1cGjXFuk83rBRCplY8S4PV+eIqPp4yBqT/Znq4MM2TVQVEpgARCaTOp0y/ZNdJiahiiTWLYnz6z6fwZwlwx08DcGgvUjVRAazmzPkvLQDB4bEYb7tkEn/xpjpqBQfgHqRgmoULzMxK/HxLgC1jNbQjiZNPXhcLwS7r6ek9CBSPelyPCvCesouDB3Zg/SmLdg9U460e37Zq0eA4vGAcf/3VAu7fUkEhVIclEUAribF7ysFXv89x6vFtnH9CrKiVzHK6MulQZgCnEoIR3PaAj3d/sopNOyzL3QVs5bQQQtQEYs27M5XErg3tdua6JEKaAbkr6WkO0OajlHk1JYdqdGgn1tW0aSvmCOfL1FfPOAwxhcdmUKxRSnRAh8pUJzche5imOugEphocQgg0qA11gL5fFyhrQ6TT/3QEVH04onNX0o0ccaxcEOPz753Cuz4F3H5/AC6lRVek9UnMRe/UNsf6E2fxR6+exXDFw8x0Ee3IBxfKKJbDCBvGInz0Xx2wJMEpq8o4LVy91QmW7N6ydQzLlx3ZekNvq6MuxhieePSBHRD8j9etXYB66wCuudPHtvEKRssE80OJ+QWB0YJET+ACLASIq89IxqHkWu/mqVJCSKJuexLCJbj9wUCBe6cH6XWc5syFdvBuoni3Q20pUHalwXZZ7g7rPedMIWO9O7h3yrOt52f+BeYwc0dZVng+BTcM90aapddVpwmkSVVZ7kbW3k2Y8d+5mT7IPZen99Pc3J90aoTpNy5ofoy4Hl0opV3nySDbBCsXxPjMe6bwO2e0VG1nLACp+LUqsOT5i/6GQkhAEMRxgJlGCZMzJUzMlDE1U8LByQpG+0K89sUNuIXDGFm4FK02/+O77rlvh9Hyj7acZ3pCb998SFEHSHHvfQ8077r6h0PnPbSRY7DiouxxuLohjhASbp2AVDkuOruBFSMcItZ1HPocSYjQIFAWhHoSY4dd3PszDx/+UhmbdmhwzwnqDNxpMIfkG2amrddoBnQ7OtZVVEwzIHcXEuctfKf1tm1RLlyPPCU5Gj2xDLlp+JTSCSMwqKFgioKo5qzaepMOB1T3Cbf7CJqm8kKXlXXuvaz5Du0IWIksMUuoaKex6AJGrTEKi/6NKQWJOVYvivFP75nClV8q4/5HfIwdclQWYvptbVccgEPx9B4ft/1HgN4LXEw1SpiYDiAEVfKlI1DwA7z6zBmctNJFeWTpXWvWnrO3UW+ir6fwjABnz/gMAB/5yMdw0pmvPCxIzwwS+vr2xC4MVSmKAVAKgEqBoKfIMFAleOkZdbz90gmM9BLEEbUimZpzU50D4gOb9rj42JfK+Oy3Sxg74KpC4bmArXO7QRU18SjgUy0JMsupNPw7dS4tmmLp2jZtMdTEHhVIiK1xK4DZzzfKin2bWJU9xLovCwrl/+3MWIS+Lxco6vzX4vTqvkzRyT+WOQeEZG+Uz4A0j82lANn9zbNINDG3zXPT98+aYhIO9Nc4XnRahOERjg2bHRyeoHmkpU9WpVSNZoDHd5TARQkyrmKqHmC25aAVOWi2HUzO+Nh/yMeixWdj+eLF723PbLu71r/02UD3mS24WaeeMB/lcvnBkNWvr3oHL33iqW1oxRS+SxH6FIWQYbgPOH2NjwKrot6Yhee2oKsDNcAVuaQ+sHmPi7/9YhnfuS1Ei+uKBGJZb9iWnHbwbuRAnUt9tat1bFXCoh6kA9xd1TyUWNXzc9AU25G0ANcNtLzFtJfh2dK+bqgI6ZAFzW39BKHHb+ckQ6jPbZKSjDMpUpGW6utZ93mi/09grLnivcREPaE6ZBlnU50VrBZxJntRNwAFFO+micRQjePNr2jCd4GPXFXGlt2ObvKps7KIrqAgDkhYwGTLxW33EkytdDBYoyiGBIVAInAlphsc1doq0HDt9UF5xYOc1J8tbJ+Zg5u1cMEoeDyz47xz17+rKf0bG7ED3yXoKTvo63Ex0k8x0idACEOj5euMNKQaNyEAKAF1CbbsdvHhL5TwnR+FaMEGt0EOtYCdURNTeuZY1IQSLQca55JYltoGfg7weUua4+HUtrA2dSE5y5enKwYqNkUhOWM118rlg8vOXJR8uL6rRwqyyWtpQ3yBtE9Krl+KfkyYZkFzXFJObk9vMzzb4uomtiFyzYaYLkrQF0EgWoAvBS67qIkrr5jB0vkxEEvNv4XFwVURccUnYOA4cDjCvoMJDk5KHJ6mmG0RzB+WWLmU31gbPv1dO/dM7yj3DD9rgD9rCw4A/QOj+Pfb7xk789QzHm/XW5dMHt6F3qqDckGit8zRU4kQBhE8N4HvxXDdGJRxEKa7kzrA9n0OrvxCGdfdFqINbYKJ2dnGcpv7WAp8QpBWxWfzK/POZY5+EGT6cE4t6ZYHbcs9l2yYRjlhURIb1BZ9sNjBs3I0DWiNRbQK6QFiSYSAyhDUedFSqHnw5n5l0U1vv2zupK4lS68Ty+qrG3qMn6TgQrfaJACRioerfBWVciCkzieH6YMo02b2klBIU7UPJQMjkQgdgde/pAkQiQ99rowd+xzAEcryMwAihiQxWglDvU0wWRdwWAwhJeKEIYkF5i9YiOUrz348mvmPsUWLzvlFIPuLARwAjl+5EKPD8z7RmNy9dOLAzBump2dRCICecozecgu1agO+N4Ox/W08vNnDZN3DSSsSLBnlGNvP8IXrCrj2tlBN+2IG2B0yRud9INqJzDLM2Bwh+Nxkhjn6nWTAJnPc3xHB7KQmyP7Nb4wMxenf/aIHFZmTaUBOkAGdwLLoGtgquYqAaqoiAP0/e4dp55LqDEN7z1GpZcLszCNgf08jIeo+hzoVQEiqaQnRKQMEAiqBi0j12ylqpYAuEsB3BN5wcQsQwFXXFjB2wMGS0QQnr+CYmGF44Ok29k3UcKAewncAl6muCkkikKAHLFhyTW3ojE/s3bf/Fz6uvzDA5y9YgLvu/NHU8mXL33rr9p/Nm6nj3J6yQG+5jaHaDA5OTeOb33Fw630j2DXuQvIIA24L//U/z+DL3w+xbaeLyCCrA8T6yCOXu6AtiqEkTo6KWKmwFv1INfEOKZDZVjq3OUhOKrTlwcypzMuCBtDoBLp93zOkypKO6zYXT40vTLqsJRHqBHBKbcpidgfSgatGTyRQY7S5sD8PhfmrdGmnIM0X1wURqu9PVjyhaIjUQFZPUPRE6M+vWi+bbyESBdo3vKSF045L8OUbQrz78joGGAFPXIyNt3Dz/bP4+q1D2H24DI9JlAoS84dcDI3Qu/sHFr319ttvm33pS1/yCwP8WXNwe513/kWYasrZM896bTQ6VMZg7yxGBqawb3IaV369hC/ftAAHG4Mgfg8o8/CqlzbxinNbWDgsEAmSB3cOEalnZ92fpU3aVryzrjI/V0d2KSNHBLdF/7u0b8ACN8lx905rbYO8G9hzAz2ncZv7TAQb1sWq4LEnr5leheY+Yd9nNefkIs/VM75N1XWLd0vzuK2Np3o6TfV1nRua1kpmuTNEn4oyvi4lILmESyR27GW4+a4AN90aoh17mKn3o+QO4o9fRvB3l+/FYP8UxiYJ9k0KEFbG777qkmh0mPxS4AZ+CQtu1olrl0JK8cBguOYs1toYjk9N4qPfquL+J/qxZpigVgSanGDNihgfeksbfQMcb3pJCz+6rwBpTfeae5GcZWfQ+STEph4yZ61TWdBWTAy46ZHBnRtsm7Pc3c6k/bE6rXfOwSRd36Yb2eYxmt1nuLi0bttPT6kKydcXUKGGUqU2WUgwHcqHCZub2fK6p0nqXAgV2UzDnvrTckIBooP5xFQEqQFXxLQ4Nh8mC+inf2+UdynNFxQAkfjWD31s2RHiw18tQ/AIJyysoR2H6C03cebKCfz1m8Zx5TeAbRO9eN3iE5vV2rIHKP2l7PCvBvBCoQTJZz64dNW5cvfTD/z5V/+tHjzwRD/WjBAM9wL9PS4WDBGcf3IBHiuhXo9x5899NSOHGFFUZiYsjVGbY6SuGLApkHfo3J0NfHJtm48C7tTx7AZ31m2K5J7TLRN2gt+SCGErLN0g7wzwpHvavq3xZk70CkTq+KT9s3VoHnRukFPdjCd9cfO+ZmdIdWCJUGDWR1x9bt1mIg3s6KxDQVVFDjQlkR2fmWRJL/r7US1rUrCE4/x1Mb5/B8Nku4Z/vYXgRWtdzBvyMNjrodH0cOaqQ3jzBQfxwLbVrVe+7PzPCOL+dU/lmQM6R1rPKtBzpPWRv/17+fbLT7nr6T1ldtfP3LMC3maLhxhG+z3MH3KwbD7HUK2NWqWOex6T+Ntv9KGNUI0QsZMtUm/KUJdM/zYDWtPIJbPC89SeG29NarDzUOjcDqUBcBe4qQY3tUBuOaa2xc6l0UJr5yBzboBMbcn4e+clBQmx9rk5LGbTk/xmITnkWr5BLtPL/iPS9X90+As5nd+6bjIXs1EqOqffFJzrLgiUclDTDQAMXDhIuAtwBysWRHhwk4exfRWUPAdEqJYQCVfPiRMHq5cMRn21xZ/42RN7/+6Cc07q7gXxfAEcAIoL3sjHDg3dX3ZJ1F9qvLi3BDJviGH+YILRgQbmD07ivqea+MjXejE22QvqFnRkkgBxAjQTINJAZwZhWRSTUQKPSNVTkGWVOnZ1jmMBOhe5tMCdOZ2kw+rnu1RlDmce3DkgkznAbcDbQW/MWSilL8joTheVsYE+x2Mp4mTHhrBfjJhamE5w56nDXBuEoBvoecVIg9oqIKfM7mWjRzq6HKwgwBwJyRmiyEcUB4hiHy6jWLusiW37KDbuKsJjAASHEEAUE0S8LJYtXfLhl7548H+sHm22P/GZ7/5K+PyVAf6T2/4NV/7lW5Ljlo8cHuwvvp23d9NFwzEWjTawdN5B/PTpBq68uhePjfWjWvBR9SgcRtFuSSwdnMabXjKJl501i8N14OBBBkk1wGkG8IBmDetty501zpRzgLwD3DaYSX4DdKol9BcAdwrgDqB3PZ4CuDsa2iUkZejrBrn1gA3yVO+2NlJ6tyTo/gNinRQ6HifWY0oUV5selhNv9bbJytwSUC/B41tdfOn7JTy22cVgj0A5DDA1XcZsS4F8Xj+wblkdG3ZKPLq1oANTHFIInLDuNBFWlr978za2Z83Jl/6q8PzlObi9FixYAD8cfLrWG16xdLTxxaL8IU3ENG55mOCfvjOI7fsrWFijqHgCgStRjyjmVSO85/V1/O75bThugpec1cY7PwU8spVBMpHyceMLMXQ7mLTDknf2EcxJhbQ7n6TTmTyiWnIEWpIDL7opSc62kjkOnKV9d4G607OEnvZLsyeaHuLcnI2glBSkA1OVPKg0csPhzScS2toDoDKz+tYnVzN9TAqtCfboTMX0uQRm5g9zEvx8s4t3fqoPj24sgrkM9z81i3ddSsBkFc02g+dyNJoBFtQauPIPp/HZ7yW474kKJsZCnLX+NLFw0ZIrTli7/Omxnb+45v2cAXz5ilWYGN8YzV9zyleuvfGRwlObBz/9k4cSbBzrg8s9LK0BpYCj6BOEPoHvUZxynI+zj6uCJy4c2sRpx83ira+q432fC9CUWb6EAjZytKKTjuR5N8nywlm3zm2rJnkLTVIr1c2PyZzWPD2tWyqLDdQjAtvCcA7PnUA/AshTAcQ090GWYUK0QkKIcj6l6Vuo2zWAIpsSQe23NM6o2pSc6D4qROWjcO20pnOBtPyn3lRFLiNIfPWmEn76RBmxW4RDAtz5s17UfODU5R4CHygGHMXQQ33WR3+liY9eXscjW3Zh/8wKzJsX/8X6M0//yiOPbeInrzvuhQNwAOgdWIVHN+3hZ53x2i3bxhfMbN17W7nPncVIv0TgAZ5DUAgYSgWGgV4Hw70Mh6erYIyiUgRKlOPS81r437e3cc9jIWBK/JBvs5afRiy7aEm+BC2f9ZcPwZM0XZbkLLqCXLcVz18HMqBnDllW/ZNz7OYAuV3UkKbJkkxIShmHpZNT69+sfECfWSB1aq1+a5pZcqmPQzrznpCczm6/B5DJhqbahxIKzo2DSSAFVRcL5I4rce+TLr5/ZwmxE8DxAwyGFCNFgQMHKDa4DIO9FJUiQzF04LseDk4WUKv4OP+kCvoWvngGxQu3RNEYP3ndql8XLH99AAeAQlhAvdm88fdfuf5Ph8vkMw/ee0eNt2dU405GUAwYyiUHPWXAdYA4YYhiBzF3wLkDNyAo+DwzJiDWmBGZs945zs0ycOfUkw560hWdtIDe1UHWuk2pAfSRLHge9HlXzcL4XEAHTEpI6jzqgQz551igNmkkhGZGQMjMmksAVANZfX4FbKp3ot3p1ewYCVUUDw1yE7gnXFtySiG4mqBsgkYmcdbo662IImqpcekeoygwAY8JcC4xNZOAURcxZ2jHFIwyzMwmGB6Yh/krzjnslk97N2/Vb2ThLy8JPucAX76gBwAwNTX9zde+4lznpOX4xL/fdsfAxi11lApqWkS5CJQLAp7HQdMDbSJgunuAhoSamiBz+nc2XVl2WW4b7J28m8xlwY9gnbsdQssyW+A3oE8/sQ3uufw6A1grJG8CO2QuPm6B27buKQ3XiDccnEjzeTP/Rb2Pul/qJpiUaIBq7k0l0m6vGQc37dwEKCfgRHFwJii4FLlMw9xpQEu9JownpBrc2mhxOA7VGZAU1WKCCCGKQy8aH1547l81GvE3S+X+Xyu4f+0AN6tarUDKg1evO/lU+rMn9/79vv0/G+itMJRCgkIoEPq6eafD4VAF9Hx4Tx9ikqkmzL5uHEvbcrNOsFuFCaklPhKAM4phig6opWtnWnBHvrex2vqOTittB36eNcjNH8gOjm5Jg4aKEGSW3NxH9TsqK58fg5gCnaj+3FRnJzJNWdIe91Ijg2sSRHRGoVBUhTFVviZlFo43So35vBxALAkiTtCOJVptCYcmEEIiSdSnPPXU48aXnrD+A1sPRFevWjB3b8FfdT0nAFc/bj9uueWWrwzVavyCswc/OTO5t+a5BFN1H54rEPocgR/Dc03HJN30xRwmkmUQmiFXualuFHCoas7IjGTISI6HpxMVqMypIzZA805lx2OdwLafbyGY2BzaAnb6g9uepPVYZ6FDJ+c2N0knX7fBTZA23CTWa6bfIb2dTXaQ+n4T8hdEW3BKIJlOx00A6F4pdsYmpwKcUwiaWXCrxkd/SI6IS9QTiqJutRbFEoknMTaegEFimbfgMCG979v51N1fu/Dilz1XMHzuAA4AL3/5y7H18a9/o94cjP5jIv6fEzt3litFHwOuQCGI0VdtolpqQMgIlHDAkrEIUYXFrunvzXR5GrN08PRirDjp4N8G1DSV1+yhrTlLnu0rC/hHBrZtyTMkz5G9dhQVBciHubM7s8dS625d7Meofn4K/E7wp9w++w5Cd5Gl2oqbHHQ7izFL1SVQ1VRqk1BKQamEw7IiZClo/gvJBDyJcDjygITBdyRKgYTvMSystrBi6cDMLB96531PTv/vK9/zxucSgs8twAHgWz+RQtDgGieZl7hB4euM7glKhQS9lTo27qpjajbCOWtjuA4FBEPCARWip/CohMeU9VZNfewgD9HzOZUD6zBbRSE5PTyzwHmaAVggQJ66dEqAnY4lLLCnr5XiUz6bQ9O15NH+zFJbMsqRAZt2Pg+prUg/W6d+TwVATF69lZUoDV8BoFIn9JQIQlUUk0oknCLhVFlzXcnDGADqAJKi6tdx3vFNjNdL2LO3gpIPtNoxzjl9eevE48O3zR+Z+c7UDMSVzzH+fuVI5jOtH998Pf7kzW+Wzfb8DccvE0+ODspXF93dziPbZvHf/7WCOx7uwTknxCgXfHguRzuR+OEjFThOgLJLUHQkAlfNBVJTJqCnviklxmUEjn1x9L+UaotO005TjNhheGLlpFhFwqlOnjXKTAuJLVWGEILODrRmEes/A7rM6ew26TKv06VX7azCXERyrjVH9uFcY8HNeOws9dbStNOUV/Ud0o1iqULq2KnCcUYkHEfAdRIQEuHz3w1w36ZewAmxajTGJ9/exIWnNjA2LjG218Nxyxe1RkZG3nz2iau+97MnGD/t7Lc81/B77gEOAN/5zjX4p797iYy99RuWDh3cuOtQ8sr/eX3D3T/eg+NGi+iv9KBcIKiWWpAkwbfuqMGhPno8iYKnCk99DW4zhNZ1kILagNx19CRmY9WpmspM9XRmA0wblBlPNwAmlmNqHrMDRt0FEDbAO/FrtOT0tnVddiBaznG9K2fcCsnbf5te7dgkkN0AF1qtytd7qgCO+dTdy3aorTx8JuG5HIS08dnrCth2qBdLe12ctDDAQKWGBf0Uw30NOOHy2bC4+C3veP2a7/zz9dvEm/7gdc8H9J57imLW6lP+ALs3fF3OW/3ktV/71grn+KXhF4cLB6vDfQ4kGKLYRaPFcM3tBSSxi3IRCBwJn6kmVym4HZV0ZYDNLMudOpnMGtvXgYFusHRq2HM7n3m1pRsCtlNov8+RljSan/7jHJC7wppaAYGhKVKdefRzTfEOzT0/4++5FNwOJzZ1IrUSJfVo8LRQQRJYcVL1LhrgjEq4joModlAqOHj9hS08uVOi4KgOtRt3uGg0+zA8unzqpecOveMVL7vt2r/5Hwx/977ff75g9/wBHADmrX4LrvrKv+CkZYu/vWhoxJ2YnP3U2PaNfeXwAKqlFppxhEe29MIlHsquRMGVCD0VCfUdNYTWOJQ2qB2HwGVUPcYIKFVNOW1lxDTJyfFMS6YDMn6aSoVdGrnl6HWqIchTipw6MtfqUEzMFTNsqftvZd5h1MNgKSH5ABCszdaxmQ0tgeldiOwYMQowXXnvsCzSqZ6kAj8qt9u0dnZACMCYgOt44NzHiUsaqHgtHG74mJhJQFgveoePOxST4D3NqeDbd/yYPK/gBp5ngAPAn/7R2wAA4wcnvsGY42zf3P/x9sT3Bx7dOo07H/fx1O4KSgWKsidQ8CRCH2oQLTNOJVIrbYPbdQgcJwO5AbhZpnUCF6oAV+ifPgNrZ9YfuvJTbOCbZcAoOyxjnip0I904rNL6Q5l7PZl73ZQG5VQSAlCpxbz8+9tLAlnbCKlapQk98yYHcGZyTbK0WpK22VLg5kKCc1XWpjayhMM4phohlo22ccVr9+PWn3JwMQ+nnXHu+EsvPPv9URx/o1CsPt9QA3AMAG7WQH8vpGh8tfe0s8jjj9f//hvX3Dpw/xMTaLVDLOyRKHlCd85SyVkOy4fbmcW/XYfqi6IwjpNlEgJ6gCgHkgQwNk41BbW4xpHATfI6MGgHwA23lVkDHrvHSfdY6o6llRFhv5aQlqW0nqoUOytnRm1WG+QE6NpOZtMIIZEIgSSR4Fymm8s44Q4jEA5NBxfYvoWEGQasDEEUUyRcPegwAc/lGKwFeNX6aZywnGGanj9+1lnnfGCqIb/a13tswH2kQ/68rke3tSBF8pYDu+779IMP3dj7z98FSi7HYFmiViEoFxgCT3W1ElxP24Ky4q5D4LoUXnoBfBdwHaWXq0FYABdqtnk7AqIYSDjyAOqQ1fJju+codbN/eJlZx0SoSQmcZ1YYsKyqkRqR/3tjrbm2rFyYqWLZZ7R9gc7CjKy1HJnTTzC0LOESUczRjjjiWILr2TtqxIo5ngyeS+C5FL5rfB91PNVnJOBcWe7Ql6gUOfp72uirNhD6MW59rIb1p14ycdqpJ/+54zhfJ6TnmOLrmFlws9YtCSBl85t80YmHQ2xe1uLBP3zze/e4i/s99JZd9JQdhD4FF0CjydFoJukPbqyO6yhwB56E7wG+nsbsMNXdNuEEtMWQJKY6XWY5L7ZwYFQVWM4XsWs7DchlSlfMj55wpKWIymJmPNe8vol2dqoupgoeunEO1xvZ0AjzPLPJAOh8KANyk9OT7VbbctnvJYREOxKYbQllkQFF8xxNO6R6cdO03+nQ2ZotoN4U4EKiEKhSM89NMFSbBQq/E/tF/33VoTO37D1c/MHCoedFpDvqOuYABwBCQrFt26Ybzzn/Td40f2yWEfmF/Ts2kN6yoAO9FH3VBEIK3P84wWxTKOuso2uMKVriuxKBp6xK4KthtZ7LNciBqRkHkzMuWpEVzkZHUMc6zZvH09RbliV8mWkKhg5wDkBPERMSKutOyrwDa+e0dCgyhlNQnbjEhUQci3Q2ZKbLSzBJ0zMDoZnElyosaS1k3ncgRDmPUURxeAaYbkjNn1Uqc+AS+B5J349RAs5YmuPiORKOIxEnAj97moNKiZ4yQ6vNEAQlEdYukuXaqj8776wzvubysWjh0MpjDSsALxCAA8CSJSvx4MOPRwtHBr8ZH9e+Y3KAvI7y8Y9WvK1YumAKNz9IcPfGGkaKEj0lBWpClAVX1hsIfYlCwFEIBApBgkIQo1xow/ea+MF9RWzeVUHoUnguAdN6eZrncSR+rHkvIzpVgGr6w/T4QQCJkJCgaMcEnEvEXECalsXE5GLbYLd6suj7mD6jRADiWKAViXQwlCrekGCSQELA0W2NcxFMoCu33CxKoY0AMFTjaIoGHnzARdFx0RMIFHwJrmlb+n6UwnXUCzoUCAOBWqWN45ZM4elxgR/eX8KiXoqz++ej2DP6N4XK0msr1dGdfrA5qg0ef6zhlK4XDMAB4PRTjgeA5u233bTpwYMXfvw/XXiH12jUP/il7zfZIxtcUHAcmCHwXaAYqkCDAriawhz6QlWMFGKUCxF6yk2Ui5P4t7sorr61gsGQY+GABCEMzPRLtE7n6kSfD70bC2hm3TiO4qSKl6r7AAX+6TrFbFMgESJN9U1zyZl5Rfs1831aXIeg1QYaLYFGU/EHkxnpCgLp6OodTZGynGxkm9FYb0uuVK8NFEOBRcMxTjluCk0pce1P+tGIPAwUhR6wSqByvwHmcLiJagxEqUTBT9DfMwshE7zmTIKVC2bxxK7jeVBd8N9//w0rPv7d63fx1772/GMNoa71ggK4WRde/Crs3fxtPrz8D688MH7AWbv6nr9YOviIP9j/ND7/3QJacQACZb19Dwg9IAyU9S6GCcqFCL2VWZQLk/jO3RL/eM0QPBHCK+nTPqQOvRPNaUnOIewQL9LIJWOqBZnvCnXx1EjzcjHG1j0cT+5wIbmL0MscYAfqTNPZPZZocLsMcF0Jz5Eo+ALDA9PYMS6x61CASijgu2oDG3pNCQHVze5zLbc7rqT9CmWm0zMqEScEpSDEX71+HECCa38yDAkfKsFV6hQGdabyHIGYq88e+AIzzTq+fJOPU1Ysx6UvO7791iXnfLJSGbqSOt/DB/7r7x5r2My5XpAAB4CR5W/E3vFp9BXIB//g9y6k9amFZ5HGF+n376uedWj3rOM6yvksBBLFkGtqkiAMYhTDNvqqM3hoS4x/vHYYrUYJ8wZFmsfiMArHUVSFEMWhualzJio0SC1ApgCniod6GtzFIEGxEGG4bwab9kV4dKwfA6GDwR6B0Gcq+44AkmW5tDa/Z1SdDQJPohgIDNXa6KlO4YafMmybCLBQUpR9kTqrSu1QVMUg3vgRdpcuKRRt4kKqlG5QuByIE4J2zHBoOsSSkTLee9lhbNt5CPduHELAKFw9eU3RMg7HIQjbFK0ISJIEzO9Ntk9U773i/NeIeUuX3Ntssg9KPgnCeo41XI64XrAAB4CRgTQJ/gMf+fyNoM5l5TWrZr7cHtz+eldO0EIQoVwAapUYpUICxjgCL0G50MKh6Sb+14/LODhTxYKKRDmQCH0K36MIfIZiqKgOoJSBdqRUi5RSaJADGShVJqOiJ4HPEYYxeitNEDqNR7cGODTjo+RItNrK0nNH5obhpqFz6zZjyoEz+fF9FY6Tls3ijkdKGK+HsMcEukwN68pV3lgSoaOLrDkBWpFEq62scsIZGGXwXYLZFkOj6eHgVBEDvRFef8E0nj5QwOFmD0JXbaAoAWIOMD1bqVwqwyuuEMev6bvu9qv8P2lHT8yUyicea3g8q/WCBri9rvyzS7Bh09YZ3w/eOX5g2eYdWx87noqpSxFtQKU0i4RTyMTXPTra+ME9Lr592wCGKwx9BVXRX9CTKEoFgmpJTWyWUuLpncB03fBrVWxFCYWgGbUwiooCuFJoAi9GqdDE+HSMhzdV0WoxAFzp4UbpSBUQRZJT3dwK5av8agECtQlPX9lGX3kW+yYClH0CjykKo5piWlKg1sVNurDrAJ4r4ToA5zF2HVD1raWiYuoOowg8itB3MOkFCLwS3nhBE49sn8C3flwCFyqgJpjEgRmOOBZYuWIFRkb7rl+6+uTHe4aHP9tstWb6Fy4+1nB41us3BuAAsHrlUgA4eGh814fWrL5k0d5dWzB5qHTpzXfeh717E5y1xkOt0sL0bIRr7+pB0QsxUOQoBkAxJCiGDMWQoVIEapUE8webqLcbuOnBAM1pH8M1qukIBRUSlBMIZofLZQpGzxEIvAQOi/D4ForHtoXwA2QJXMhSa00KL6CjiVyRC64DRGmCIAEaTYbjlwgcv7yObfdXMZswFDlBwqWiUTCvT9IAjZEyHQcIfWC0v41qZQp3P+WiPetjXl8CCsBxXAQeReA7CDwXk16IcrGC1507hVsemIUkJYzWgJPWtCFcF65/Jk4/cc31x69d+e6ZmcaOYuXZT1Z4oazfKICb1TcwH7P1iR2Llxz3l9sZvnncuqXvKpW3n0+dp+E5e3DTAx4e21bDgqpAJZQoBqplRRioutBqgWOgp42B3ik89FATDz8dYGlNIuFCNZiXAOdZkEhYwFIThhXIXUcB/OA0cGjSw8IBKw1X58t4rorE+p7qVDddF0gSAe4xMEYRuNlYESkJooRidIBgqBJBco5W4qQRUpPLDWRBLrV5MsnQZRK+J3Dqwgbu3kjw4/v7EbgEnsPhexR1jyDwKULPge95OHC4jDUL23jFGZO44Q4XtVo/1q1a9Njo8PYrUV7nzR9Z/VCSRDuWLF5wrH/2X2r9RgIcAAqlXgDYLKXcvHwFHr/7bjqycGTFlw4e7F9+80+fYEMhxVBJoOQThD5FGDAUAopiIFAqJqhVWjhcn8VN9wVIYg+Bq8qwXJeBEKJAKCQoYfAcHWmE5s1EjcB2mOrFB+aCOCxtccF08pLrUPgeQakA9FU5WlGM7XsEWm2gtyLBmIvAI1qDNn25KaLYVSNsZIJY+EgEAZcy5d6EqM3jugSBp6gT51DcOQFaEYXLPFyyfhIPPlXGoXqIckEgbHGEAUOjSVEIGLxZV+fP9OI16xsYGTmJn3nCSVsQ7X/z3omlj7787NOO9c/8K6/fWICbpdNhN4no0CYhk5fOxGTe+//LBdfddccdlcOH9hR37K7Dc9QPGvoEQSBQDBNUS03s2xvhyR19mFciKIZAqeCgr4eBgGPTjiRVWQLPyVo26JItM8Nx5wHg2z8qqEILk6/CFN91HYrQJ6gUOBYONjHVnsbYZIB23YfrcHguRRQ4iDkB51nXKM4p3nhxA7c/EuHAVNFqYG+So5QaFHoE1ZKSLDdsVxnhlFBUZhkOTxWwduEUesqz2HI4wEALKEcCzRZH3SUoFwEhEuybqMAvr26c9aL104O7o8tqPSt2O87qHQvn1Y71T/trWb/xADeLen1oNOWOtasHd5ZK9bUrR8X6Rkv88/+59+mkfmhbzaeTZSklGOUo+BFAm/jJox6IDFArSpQLDnorDIuHE4SFSdzwQIAFVaW6JFwleBGdh0JSZUOgFQG7x52uWUGMAa5L4HsSxVCgp9xGwupoRBT1WR+zLYFSKFTSE9d8XEJNKAPBvH6O0OfZ/SaXHUhjAIEv0VdNMNQ3iWvvCdDjunAcD6UCw2Tdx0CtgPPXNbBxRxUzTYq+RCARElMNidGRgZmlq+YfdoornHbs/XFP77L7Tu0rTgEQc5XV/aau3xqAA8qRBCB4e/cE9UZv3bV7euU7339je/zJD7939/Y7//DhRw/EgRetDgtx8NSOFn5wTxUhJagUgEqJobcCDPW14ARTODzrodcjiBMF7jSayaRuQ6FntwMdGX8miGOnEQj4XgK3nSARAs1YyZJRIrTzmDU/Mj1GVCMfmY0LlDpTUed0q/wQoBQmqJYbGK9TRISip5SgUvQwNeOg3fbx6jMP4Sc/n4Jsj6LW47eGhysbwr6F7rkvOuOb2PGufwz6/9Enfm/rqS1TYs3K0rH+CX/t67cK4GYxfx6gAnmz0xNbQZn7Dw6j/7B61VpWKRe/ABxaefs9/edWgoOsFjLUKgTVokC1KFAuRJBOG0BW3mUCMp4rsvC8HtIa+hLzBjgOTNsKRxaKd7Ws6DocjHBwKRFxgpjLVBlJnUcdaCJEYNc4xWxEdS6W4uAJB+JYIklkKheazZYkEWaSEJMzMQJPorfsYbJRwNBQPz76jvl80+4z766Vy5vardkr9kxF3PMDxEuuksuXL5o91r/Xc7l+KwFur0rvUiDDXvLo5uk/AQ173/am9R87b933vO/deogfv7p6yuggOZXxA6BoArSh1BJdWOs6QDEQ6ClHKAZq4IAUqi/I/AGJ3ztvFg9uELp9Ql43Z0zqiwChQqfX6txxjjQHBDDFDBKBx3H93QHGxj34HlEzJyUw3SLgUlETs0HiGIgignqjCcZDUFpEpWcIzHcfiuE8fPfmdezlF740OvdFff8NiCYIGQQAvOdY/zDP0/qtB3jnWre8AgATAN4BAE89ehdAyPlStF/SbjUu6ykeWlVv78Zg7xQGegQIOCDb6K820FOextY9FRQ8H2EQwWEcQrhYtYBj3mAbrdhVWrXIQK7qR7XiQjmgS74SnhU6mDwRh6oUgJ3jEk+OFZDAAxEq3N9XAfyQY9OuGFHM0FuSSHiAZlwEZTW87uUr4TuDWDZa2Fgpl64rhN4PW1LeefkbXnysD/kxXf/PAbxzHbfuPAC4c3p68k4Ad3msvWzX/v2ir3KDOGFN35KR4YH3y2g3Vq6axs33bscd9xJcfKrEgqEG7n48QdSuYc2yBk5Z2cKPHyjhsEfQU7I6TxHVVsFzY0gZgbE2mlwgSkiu8NfzBMrFNkohx48e9vH0WAWvODXCbDSNDVuKqIYOLji9jVXLXIyNr8Dy5Q5OPXEhWrOHP+75W7a97XUXUTcYppWCswXArbVa77E+tC+I9f88wM2qVHoA4FZze8fO/fA8r2ff/v33HtrHMDg8GVcGT/rz17zSvXjNIonevglce91DWNkPLJl3GMsGGUrnMAjRxP59QBwTcEGRJBy+M4tHNjdxy0NFvPzMBoDDmJgqYV7EEEUUnDMQNPHE9hhb9vRiol7BvD4P567ycObJTfx8z8VY2Bdi7TKJC1jrtqt/EH968RLPXb16DYaGhu+MovakXxg81ofwBbn+P8CPsBYtGAKASQA3AMCmrXux/mRscCkfqhQhBOo4OLMLa4emESchKiHBQDWKC/3nfHh8X/NVQz2I+3tdVIscXnUaT2xvwwvKuOS8Fk47oYWfPFTFUMVDuUjRVyWYP5+7YOym62957MN9fb7bUyKgtIg1S30MLz8BoReip0xoGJD9V16BbX5x9Fgfot+I9dsjeL4A1r9e/x8gwNDkwX3V/jKXPWUHhYCjVGzglgc4qKzgshe1ATaFW+6toBx4OhAELJlPyOhobUpK7K8OXXCsv8pvzfq/Qpukh1v9EUsAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjA6MDI6MjQrMDA6MDAQERJnAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIwOjAyOjI0KzAwOjAwYUyq2wAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 155184000
{'hecke_orbit_code': 18014398576593026, 'n': 1, 'trace_an': 1}
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id: 155184001
{'hecke_orbit_code': 18014398576593026, 'n': 2, 'trace_an': -2}
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id: 155184002
{'hecke_orbit_code': 18014398576593026, 'n': 3, 'trace_an': 0}
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id: 155184003
{'hecke_orbit_code': 18014398576593026, 'n': 4, 'trace_an': 4}
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id: 155184004
{'hecke_orbit_code': 18014398576593026, 'n': 5, 'trace_an': -6}
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id: 155184005
{'hecke_orbit_code': 18014398576593026, 'n': 6, 'trace_an': 0}
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id: 155184006
{'hecke_orbit_code': 18014398576593026, 'n': 7, 'trace_an': 16}
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id: 155184007
{'hecke_orbit_code': 18014398576593026, 'n': 8, 'trace_an': -8}
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id: 155184008
{'hecke_orbit_code': 18014398576593026, 'n': 9, 'trace_an': 0}
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id: 155184009
{'hecke_orbit_code': 18014398576593026, 'n': 10, 'trace_an': 12}
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id: 155184010
{'hecke_orbit_code': 18014398576593026, 'n': 11, 'trace_an': 0}
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id: 155184011
{'hecke_orbit_code': 18014398576593026, 'n': 12, 'trace_an': 0}
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id: 155184012
{'hecke_orbit_code': 18014398576593026, 'n': 13, 'trace_an': -38}
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id: 155184013
{'hecke_orbit_code': 18014398576593026, 'n': 14, 'trace_an': -32}
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id: 155184014
{'hecke_orbit_code': 18014398576593026, 'n': 15, 'trace_an': 0}
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id: 155184015
{'hecke_orbit_code': 18014398576593026, 'n': 16, 'trace_an': 16}
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id: 155184016
{'hecke_orbit_code': 18014398576593026, 'n': 17, 'trace_an': -126}
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id: 155184017
{'hecke_orbit_code': 18014398576593026, 'n': 18, 'trace_an': 0}
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id: 155184018
{'hecke_orbit_code': 18014398576593026, 'n': 19, 'trace_an': -20}
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id: 155184019
{'hecke_orbit_code': 18014398576593026, 'n': 20, 'trace_an': -24}
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id: 155184998
{'hecke_orbit_code': 18014398576593026, 'n': 999, 'trace_an': 0}
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id: 155184999
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