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mf_newforms • Show schema
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{'Nk2': 8800, 'analytic_conductor': 17.567088444681684, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, -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': [2200, 1, [551, 1101, 177, 1201], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 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': [[3, [2, 1]], [7, [4, 1]], [13, [-6, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660927128, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2200.2.a.b', 'level': 2200, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'minimal_twist': '440.2.b.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{3}-4q^{7}+q^{9}+q^{11}+6q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/2200/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2200.2.a', 'trace_display': [0, -2, 0, -4], 'trace_hash': 560335904437975135, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.975', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 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mf_newspaces • Show schema
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{'ALdims': [6, 6, 5, 7, 7, 4, 4, 8], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [34, 36, 40, 35, 38, 38, 35, 34], 'Nk2': 8800, 'analytic_conductor': 17.567088444681684, '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': [2200, 1, [551, 1101, 177, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 337, 'dim': 47, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 33556632, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4], 'label': '2200.2.a', 'level': 2200, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'mf_dim': 384, 'mf_new_dim': 47, 'num_forms': 25, 'plus_dim': 21, 'prim_orbit_index': 1, 'relative_dim': 47, 'sturm_bound': 720, 'trace_bound': 11, 'trace_display': [0, -2, 0, -4], 'traces': [47, 0, -2, 0, 0, 0, -4, 0, 41, 0, 3, 0, -6, 0, 0, 0, 2, 0, -4, 0, 4, 0, -6, 0, 0, 0, -14, 0, 30, 0, -14, 0, 2, 0, 0, 0, 16, 0, 0, 0, 18, 0, -16, 0, 0, 0, 20, 0, 31, 0, -4, 0, 10, 0, 0, 0, 32, 0, 14, 0, 14, 0, 24, 0, 0, 0, -6, 0, 22, 0, -18, 0, -18, 0, 0, 0, 4, 0, -52, 0, 71, 0, -8, 0, 0, 0, 0, 0, 24, 0, -48, 0, -10, 0, 0, 0, -8, 0, 9, 0, -22, 0, 20, 0, 0, 0, 24, 0, -70, 0, -70, 0, 48, 0, 0, 0, 10, 0, 16, 0, 47, 0, 48, 0, 0, 0, 0, 0, 124, 0, 32, 0, -32, 0, 0, 0, 64, 0, -72, 0, 72, 0, 2, 0, 0, 0, -50, 0, -46, 0, -28, 0, 14, 0, 0, 0, -28, 0, 108, 0, 76, 0, -24, 0, 0, 0, -48, 0, 21, 0, -4, 0, 6, 0, 0, 0, -14, 0, 6, 0, -48, 0, 24, 0, 0, 0, -14, 0, 20, 0, 14, 0, 6, 0, 0, 0, 22, 0, -12, 0, -62, 0, 24, 0, 0, 0, -48, 0, -16, 0, -44, 0, -46, 0, 0, 0, -36, 0, -72, 0, -68, 0, -46, 0, 0, 0, -8, 0, 88, 0, -12, 0, -66, 0, 0, 0, -36, 0, -44, 0, 50, 0, 56, 0, 0, 0, -128, 0, -20, 0, 30, 0, -10, 0, 0, 0, 30, 0, -76, 0, 126, 0, -44, 0, 0, 0, 42, 0, -54, 0, -64, 0, 24, 0, 0, 0, 78, 0, -72, 0, 6, 0, -60, 0, 0, 0, 104, 0, 173, 0, -162, 0, -38, 0, 0, 0, 14, 0, 56, 0, -16, 0, -52, 0, 0, 0, -20, 0, -88, 0, -68, 0, -4, 0, 0, 0, 28, 0, 10, 0, 36, 0, 48, 0, 0, 0, 60, 0, 0, 0, -110, 0, 2, 0, 0, 0, -86, 0, -154, 0, -14, 0, -8, 0, 0, 0, 44, 0, 66, 0, 272, 0, 44, 0, 0, 0, 184, 0, 96, 0, 63, 0, -2, 0, 0, 0, 2, 0, 186, 0, 16, 0, 22, 0, 0, 0, -92, 0, 66, 0, 32, 0, 50, 0, 0, 0, -140, 0, -116, 0, 52, 0, 76, 0, 0, 0, 2, 0, -40, 0, -14, 0, 24, 0, 0, 0, -12, 0, -178, 0, -34, 0, 4, 0, 0, 0, 36, 0, -36, 0, -6, 0, 108, 0, 0, 0, 40, 0, -32, 0, 156, 0, -8, 0, 0, 0, -48, 0, 0, 0, -7, 0, -54, 0, 0, 0, 132, 0, 40, 0, 10, 0, -108, 0, 0, 0, -74, 0, -220, 0, -26, 0, -34, 0, 0, 0, -134, 0, -60, 0, -98, 0, 0, 0, 0, 0, 46, 0, -40, 0, 20, 0, 92, 0, 0, 0, 82, 0, -160, 0, 36, 0, 4, 0, 0, 0, 84, 0, 28, 0, -320, 0, 12, 0, 0, 0, -38, 0, -184, 0, -72, 0, 48, 0, 0, 0, 28, 0, 292, 0, -52, 0, -60, 0, 0, 0, -28, 0, 57, 0, -112, 0, -108, 0, 0, 0, -6, 0, 35, 0, -42, 0, 26, 0, 0, 0, 212, 0, -154, 0, 164, 0, 64, 0, 0, 0, -130, 0, -4, 0, 36, 0, 148, 0, 0, 0, 44, 0, 18, 0, -60, 0, -86, 0, 0, 0, 144, 0, -32, 0, -112, 0, 26, 0, 0, 0, -144, 0, -24, 0, -84, 0, 6, 0, 0, 0, -160, 0, 64, 0, -50, 0, -156, 0, 0, 0, -92, 0, 16, 0, -72, 0, 50, 0, 0, 0, -82, 0, -70, 0, -166, 0, -92, 0, 0, 0, -40, 0, -64, 0, 78, 0, 120, 0, 0, 0, -22, 0, 64, 0, 112, 0, -70, 0, 0, 0, -82, 0, -30, 0, 68, 0, -96, 0, 0, 0, -242, 0, 224, 0, -44, 0, -8, 0, 0, 0, 40, 0, -298, 0, 14, 0, 82, 0, 0, 0, -98, 0, -372, 0, -36, 0, 48, 0, 0, 0, -286, 0, 180, 0, -154, 0, -8, 0, 0, 0, 52, 0, 32, 0, 66, 0, -88, 0, 0, 0, 104, 0, -72, 0, -112, 0, -58, 0, 0, 0, 180, 0, 110, 0, -64, 0, -272, 0, 0, 0, 122, 0, 251, 0, 200, 0, 66, 0, 0, 0, 38, 0, -88, 0, -40, 0, 16, 0, 0, 0, 44, 0, 88, 0, -90, 0, -30, 0, 0, 0, -30, 0, -70, 0, 10, 0, -24, 0, 0, 0, 128, 0, 98, 0, 108, 0, 10, 0, 0, 0, -92, 0, -32, 0, 30, 0, -32, 0, 0, 0, 204, 0, 20, 0, 108, 0, 20, 0, 0, 0, 188, 0, -216, 0, 242, 0, -18, 0, 0, 0, -116, 0, 170, 0, 168, 0, -56, 0, 0, 0, -88, 0, 104, 0, 82, 0, 130, 0, 0, 0, -84, 0, -100, 0, 164, 0, 130, 0, 0, 0, -62, 0, -98, 0, 53, 0, -12, 0, 0, 0, -4, 0, -168, 0, 42, 0, 134, 0, 0, 0, -58, 0, 86, 0, -64, 0, 180, 0, 0, 0, 18, 0, -36, 0, -272, 0, 38, 0, 0, 0, -190, 0, 120, 0, 4, 0, 8, 0, 0, 0, 188, 0, 96, 0, -5, 0, -16, 0, 0, 0, -168, 0, -40, 0, -212, 0, -80, 0, 0, 0, -64, 0, 22, 0, -160, 0, -40, 0, 0, 0, 56, 0, -52, 0, -128, 0, 200, 0, 0, 0, 196, 0, -222, 0, -60, 0, -72, 0, 0, 0, 174, 0, 282, 0, -86, 0, -8, 0, 0, 0, -54, 0, -36, 0, -2, 0, 106, 0, 0, 0, 80, 0, 316, 0, 145, 0, 12, 0, 0, 0, 8, 0, 112, 0, 218, 0, -104, 0, 0, 0, 80, 0, 40, 0, -266, 0, 42, 0, 0, 0, 400, 0, 4, 0, 40, 0, -10, 0, 0, 0, -106, 0, -18, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 33877076
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660927128, 'source_is_minimal': False, 'source_label': '2200.2.a.b.1.1', 'source_level': 2200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660927128, 'target_is_minimal': False, 'target_label': '2200.2.a.b.1.1', 'target_level': 2200, 'twist_class_label': '440.2.b.b.89.1', 'twist_class_level': 440, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 33877077
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660927128, 'source_is_minimal': False, 'source_label': '2200.2.a.b.1.1', 'source_level': 2200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972562224, 'target_is_minimal': False, 'target_label': '4400.2.a.bb.1.1', 'target_level': 4400, 'twist_class_label': '440.2.b.b.89.1', 'twist_class_level': 440, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 33877078
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660927128, 'source_is_minimal': False, 'source_label': '2200.2.a.b.1.1', 'source_level': 2200, 'target_conrey_index': 89, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668380402104, 'target_is_minimal': True, 'target_label': '440.2.b.b.89.2', 'target_level': 440, 'twist_class_label': '440.2.b.b.89.1', 'twist_class_level': 440, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 33877079
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660927128, 'source_is_minimal': False, 'source_label': '2200.2.a.b.1.1', 'source_level': 2200, 'target_conrey_index': 89, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668380402104, 'target_is_minimal': True, 'target_label': '440.2.b.b.89.1', 'target_level': 440, 'twist_class_label': '440.2.b.b.89.1', 'twist_class_level': 440, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 33877080
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660927128, 'source_is_minimal': False, 'source_label': '2200.2.a.b.1.1', 'source_level': 2200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679891096, 'target_is_minimal': False, 'target_label': '2200.2.a.j.1.1', 'target_level': 2200, 'twist_class_label': '440.2.b.b.89.1', 'twist_class_level': 440, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 33877081
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660927128, 'source_is_minimal': False, 'source_label': '2200.2.a.b.1.1', 'source_level': 2200, 'target_conrey_index': 3169, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805819359096, 'target_is_minimal': False, 'target_label': '3960.2.d.b.3169.2', 'target_level': 3960, 'twist_class_label': '440.2.b.b.89.1', 'twist_class_level': 440, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 33877082
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660927128, 'source_is_minimal': False, 'source_label': '2200.2.a.b.1.1', 'source_level': 2200, 'target_conrey_index': 3169, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819359096, 'target_is_minimal': False, 'target_label': '3960.2.d.b.3169.1', 'target_level': 3960, 'twist_class_label': '440.2.b.b.89.1', 'twist_class_level': 440, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 33877083
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660927128, 'source_is_minimal': False, 'source_label': '2200.2.a.b.1.1', 'source_level': 2200, 'target_conrey_index': 529, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867635143536, 'target_is_minimal': False, 'target_label': '880.2.b.d.529.2', 'target_level': 880, 'twist_class_label': '440.2.b.b.89.1', 'twist_class_level': 440, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 33877084
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660927128, 'source_is_minimal': False, 'source_label': '2200.2.a.b.1.1', 'source_level': 2200, 'target_conrey_index': 529, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867635143536, 'target_is_minimal': False, 'target_label': '880.2.b.d.529.1', 'target_level': 880, 'twist_class_label': '440.2.b.b.89.1', 'twist_class_level': 440, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 33877085
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660927128, 'source_is_minimal': False, 'source_label': '2200.2.a.b.1.1', 'source_level': 2200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288299824, 'target_is_minimal': False, 'target_label': '4400.2.a.c.1.1', 'target_level': 4400, 'twist_class_label': '440.2.b.b.89.1', 'twist_class_level': 440, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2492100
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 2}
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id: 2492101
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 3}
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id: 2492102
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 5}
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id: 2492103
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 7}
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id: 2492104
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 11}
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id: 2492105
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 13}
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id: 2492106
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 17}
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id: 2492107
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 19}
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id: 2492108
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 23}
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id: 2492109
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 29}
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id: 2492110
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 31}
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id: 2492111
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 37}
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id: 2492112
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 41}
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id: 2492113
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 43}
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id: 2492114
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 47}
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id: 2492115
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 53}
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id: 2492116
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 59}
-
id: 2492117
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 61}
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id: 2492118
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 67}
-
id: 2492119
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 71}
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id: 2492120
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 73}
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id: 2492121
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 79}
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id: 2492122
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 83}
-
id: 2492123
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 89}
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id: 2492124
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660927128, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '2200.2.a.b', 'level': 2200, 'portrait': 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XpDS7suaPgCSUIQpLQbKd2Bz7FFCI2PsZYrtkT0BimnlzUzLY9LtiTs2Nin2QgR0hJFgs6gzlLHZ6Yh8KTH6UWfg6cER88mHF9JCOoDXn1zn++8BQI5zb5jbY6fU5zJmXvJcnDZctPVS/ziu9fYMjPNsdOznFlpsLSmWVqTrHUS1nsxq92U0yspp3tNfuoHpPmR79n50emNMz/OIOqKmR9+viHxV/r6Ow3wldUOZ7uCpm9/+diJZ17cOfk+udztv/gFO07ojdMLnFqcY2mtyfK6z0pHs9qF1U7KaidmZT3l7DocWhEszK/z739whRfuanDi3CynF5ucXtacW7GcXU44uZSy2EuYnh3xkmv7vOgK8GWdQAWcW61xZllzdlUwCCFJDDXf0KylzEwlGODY2YRuH3Zu9GjWQ6wVIHz6Q8OOTSEr6xqskyLrfQgTsFhWOxFbN3j0hgqhLMKEtGseOzaPWB8Ijp3WpEYz15a0aoLAgyQRDELJ2VXJmRXLubWEIBiBl3DrVX1efLVgoV1nZa3NiXMBp5fh3HLCudWEU6twaMVy01XL/IcfXGPTdJvjZ2c5u1Jnac1nuSNZXU9Z68asdVNWe4azXcnBZcuGqZO8+eXNJGbumz/7E99nduy46ptCxD8XR038oP18Q+U5v/7OBpkf//gnmZud4uzZpV9630fv/pd//sWHgu56yob5If/XP1Nc0hgy1RoSJ4rUCIwFazXWKpyxAkKkCGE5vDLDv/8TwS/98DluuDiiVZ+lWW/RbgS0Gh7TbcW5FcXZNc3X7q/xhfsSLt8+4IpLElbXhly5PeRdrzPEiUJg+ey3aix2atTTkKNnFP1+i+suS1nsJuzZ57Fru+TAabh1N3R6EBlNoCPmm7D/VJ1GPSZQCVMtwXoPbrmyx6GTAbt2Go6cDnnmkPv3vO0jDp2zTLVCVrsRn/taAysUaZryiusH3HaD5ey6xw2Xjrh0i0cStxkM6+w5XOPssmBpLWVxLeHcquH4quBcP+L6XSv8mx/os9Ce4diZac6t1Fla91jpSNY6KZ1eTKef0hlY1gaC5aEkiUZsmUl520uP6O0bz75cr/8BS+Y7bmssvNG02u1//Y2vfY7bX/2m5xsyF/z6O8ngn/vsp7n6yh3qmw/s/TcHjpz513c/dEQdORezOFSshzE3XLLIr/9vy1x/aYOzKzOsrDdZ7dRY7XisdjVrPVjrpKx1E1Z7CcsdOLEm0PURt129yve9POLiDU3W+20WV+ssrfosdwSrHcNKx7DWM3SHhm5oGYwS5toxOzYaQBB4lpOLHkIG7NyguHiLZcuGAefWQp440OLGyy2N+hpPH5yl1YyIIo+5GcNwBFfuGPHhO6fZvT0hDC3zU5I4HdKqBTxzdETda3L9roQnD0ecW/HZOhdw8WbYsSlCqZiTy+B7FiEsOzcmzLQkvWFAf+DRHXisdhWr67DSMax2UpY7KWc7sDJK2bG1z/e9YpnbrtDUvDZnltssr9VYXtesdAXrHcN6L2atl7Les6z04WxfcXY94ZbdZ3jv/7bMVTsDuv0WK50GK51ZhuaKVPqbfylRm/+DMivpG7/zu59v6Jz39XcK4N2VR9BevT7qHd1x132n37Fn/7n/+PS+46z1YLUHqwPBuaFksRdz06Xn+LWfWOG6Sxosrk2zst5krVtjteux1tWsdaHTM6z3EtZ6Catdy7mO4HTfgujzlpd2eMMLDZdsrhFFDdY6Ndb7Pp2eYq0v6A0Eo9ASJZY0BSUtgQf1wDLdtmyYjdHeiENnIp46GGCSJq+7JUJ76zyyZ4qLNsMXH0x46TUBi50hNa1I0pjZGUhiD+0lrKw0eMkNXb54f4uLN8PDB0I8Grz2hYZEDHnqUMqRkzW09Nk4o5lpCuqBwPcFSkBiIIotowh6A8t639AbGNYHhpW+ZZim7Nw24A0v6vCWF0dgWqysT7G4WmclJ4MOrPdSOv2E9V7Ket+y2oczPcVSN+GmXed4708scvVFdVbWp1jvNVjv1lle9zmzLJHBVoQ//wvBwuV/fu0VO473B6PhK1/4dycI/TsD8D1799Oe3uKfOfnEDy2f2/Pbh/bvE4dPpHK9l7DeT1jvGTpDwdpQsDiQnOtFvPDyJX71R1e44bIay+s5yAPWez5rPc16T9DpWTr9lPVeQqdvWOtbFnuCMx3DzPSA77ipx61XJOzcqGjXPbq9GoEnAUWUSEwmfwYjQBhmWiMOnLIYG/HVh5uEgzqXbfW57doBsVnn7kenuf5yjwNn+3TW2rzo2gFfeyRg46xlzzHLP3tzlz1HAzbOSu54VHHblYrVQZfDJ2a5flfE3U8NScIGt17lc+n2EcOkz1ceUZAKDp3UtBsaLWAwlBgrSI0lTgBp0L6h07c0WzHbN4e8+MoB33FjwlyzxrnVKVbW66x13blZ6wo6fej0Ejr9pJAlqwPJ2Z5guZdwy+5FfulHl7nukoDltSnW+026vYD1XpD9G4rldctST5ubbr7W3nzd7p+8bvcVHzx17ly046LLnm9IAX9HAB5GsQxHozd94+tfumytG7733vse8GanfCyC/jChN0jpDzPZMBR0hoLFoeRMJ+HWKxf55R9d4sZLfda7Uyyttej0a6z3fNb7mk5P0RlAr2/pDhK6ffdvdQaWpb5gqQ9xGnLd5UM2zab0B5bXvyjkok2GJJVoaYliuOuJGscXa2yeSXj6UA1Mgyu2KW7YbQhqAx45MGBpucnVFzVpT69x/5MeN19eY2Wwztpam02bLA/uUfzAK/s8tEezbYPHcr/D2uosN1w54P6nU2br01x9WZ/FTocHn52mrpvctNuya8cIZJ8njgg2zMacW4q5+wmPUayQElJjuWhzxHe8KKLXV2yZMdxwOURRg9VOg9VOwHrfoztQdPqSbh+6g5RuP6U3SOkODOsDy+pQcqor6AxDbtu1xH/4kTVuutzdHN1ene4goDPw6fY13YGiO5D0BpAkKdMtw+6rXhhHif5Xb3zjGw7W6/XPKaXN842t5z3IHI0GJPHoBw/uf/TXz5w6NLu4tMLmhRoWQZJYfE9RDyzWWqwVCCxSWJS0KKl5aP9Gfu73NW++bZV3vnKVi7dGnF1pE/h16oFPI/Bo1jW9uqQ19JhqagajlP4wZWNoGIaW3ihgdanGyROWKDGcOpsQBBYQ+MqipWAwVAg8koHmBRcJLt1i2bF1QJj2+NJDir0HZ3jNjQE3XLnGh75k8UWDi7YOePJ+xdZpxXx7QE3ViWKPxR40a5ptGwWP7424YVedl1+/zB9+fojvtXj1LRYvGPD1ByO++ECTZ4/UuWRLg4s2pyzMRFw8H3PNRSlKGbSygKURBCxMB0SxR2/g8/QBj/5IMxgq+iNJfwj9kaU/cJ+9N0zpDy3doWV9CEsDxbk1S2Oqw0+9bonvuS3kukuanFlu0+nX6Q18egOP3lDTHyoGI0kYuZsrNZLFNThzz8Nee3r212dmF1ZvveXmfznoD/6w0Wz8vxfgadID7I8sHr/3l4/uuWfWxn2mWx5RLIkSCGMBSKwtE65CuE4aB/AUX0qePLDAY/ubHDi9yJtf3OfFV42YbrVZ7TRodmu0hz79gaaXXezhSDMINaPQMooMUWyJY0uSuiNKfKwBqQSeFtR8wXRLMNOCTfOGbRsHzM90+PIjcM9jHtJM8ZobPV5wRY/7no2JRm1ue4GgMxyyuNLk1l2G+ekBdR0wShRL3RhlBC/YpWm0Qh7dV+NlN0zxout6PLpPgZ3ixqt8fvg7V/na4xF3PNRkz/EaOxYUm2brzLQaTLWgHoCnLUqCsbDniCBNBXEisvOH+4xhyjA0jELDYGQYhIb+ELohLPUliz0IzYhXXb/Km17c4ftfbUiSNmeXm3T7NXpDn/7Qoz9U9DJwD0OK8xcnhig2hJHh1OJJjpz40uyZleQ/v/mNL9PrncHvT089fyB/3gBu4kWESH54sPyVX+4vfn1Du55i5xoMRinDkSWMJEoKlBAIoRBCIARIaVASlLJoZfGUoe4Jlgd1PnLnNr7+WJeXXrPOu1+1zjUX95mbbrCy3qA3DBgMvQzYyh2RIIwlcSJIEsdGucWopEVrqPnQqBtmWzFbNwxI6HPgVMxH765x+EST6aDOzVdpbr22y4P7O3z1W21uubzGjs0DPnynQImAditmvR9iLCgBC+0B3Z6PSeq86aWLfOSLDS49V+MNtwyI4hXufmqOOK3xwqs28Iabu1y+vcPXHx3w5IkGTxzx2TYrmW0LGoHA99xNKIW7+Y0FYyxxkt2ssSWMHRBHEQwj6I0Ea6FgtQdCj7h+9zrv/o51XnpVyly7zlq3QadXpzcI6I88+sNyJRiEkuEIBqFlFBqiKCWMDKPYEEaWQSg5em6dp//oaxtO9uwv//BbXmyPn1n9gx2bn59alv/lAP+VX/8QURDyi7/5ufe85SXn3rt74ZF5X8ZMt2ZARCip0VKhFUgpUFJm4JYoqZEydcBXBq0MnrIE2lLXgrWRYqUzw8fuavLA031uu26dd796nesv7TCX1kmSgMGoRn/oMQw1UayIE0mSysxLLyVQ4BsatYTAj/C9kFMrIZ9/WHLwpM+RkzMoE3DpZp8rL1bceEUXFSzx1KEWW6cbXH0JbFpYY7Xb5pqtksRYvvxQQDiQTDcTXvvCEZ+7O+b42Ra7L/M4sz7imcMe2zfOcN3FS9z3ZI/7nxGEkc8VF89yxfaAK7b1OHRmlYOn4KG9DQ4cbtLQgkBLmoGl5oGULqiy1t2sSQpRAlEq6IeC7kjQjSEyCcaOuOnyLu/+ji4vvSZl82zAaDTFSqdGrx/QH/kMhpr+SDEYKYahYJgx9zC0jKKUUejAHUbuBhqEln4I/Uhx4lyH//ahOzYEdu97f+K7bNJf/M8fOnBwE9ff9p5/uAD/4uf+gjf84Nf5b7906/d/7tGjv7l/z0PTv/yjK7QbM4zikNRIBzDpDqUUSpEBWqCVyh4NWqV4WuBrg+9ZAs/S8FOma4Je6LHWneET97S584kRG2cGvOMVHa7YPmI07HP1xZbtmxRh7JGmitTIUt9Lg6dTjp2zHDkrWB8aPnNfg1PLM9jIY6am2DKn2blJc8lWuPrSLkYu877PNVldneKWKzRXX9rh608IROKxYUbSbCQMYh9pJViJ0j6dkeDcquAq2+AVN/b45qN1tsz73HL1LP/kO5f54Bd7PLSvSX/ksbLe4uItdXZvHvDCXT3e+rIep1dX+cx9ASuDgGNnPE6d8vGUQEqJQGCsJTUQG0uaGGbmYq69akAYxlyxPeRtrwjZMKWYbQXEcY0zSzUGQ59B6Fa5YQFs6cAdCkYhbiXIgD2KUkaRJYwsw8gyiKA/EnQjST+FRnSCBfX4/NKZ63/z1Nr18a2veOJPP/qRP+f73vmOf3gA75x4P+1tB8Ujn33R2x958vT7z5090RjNSCIMQRBSD3yMkQhACFDCopRFSYVS0pWNKoHOH7XA0ym+FvieoeZZ6rGlEVmmaikzdcEgkvSiJkdONvnVP50FkyCShBuvHXDxpogkAWMN1rokjhQCqQTa89l33GfPwRrNmqblS+YbgoU5yYZZzZYFxc7NKbt3rpOKFf7bJ9scOz7NLbs8rrgoZZj0+NZTAdN1j7kpy3QrolF3UsgYSWekWO1bVjopnX6dl1y9zsN7Buw9rphu13jhVdP86JtW+K1PwaMHm/SHlvWe5txqm03zDTbMjNg5N+L/ePuAdqPDk0dg3wmJ57lzJoQBrPufhSSBizal3HZNQhp7xEmAtQ1GkcfZZZ9h6Fa0UaQK+TaMBKNQMIocazuWzhg7LCXJKLKMMi++Hwp6oWA9FozilIaO2DidcPT4iemHD2x4/92PvyD5wfe89W5r7eIoIa17f/sm3v8SgP/q736Q1/+bbeqX/lH/LZfMPfmh2687VKvX+nz9sYRUpPh+RC0IMdZ9YCEsSnkZwB2TO70t8bTTnL6nCD1JGBmCKCWMLfXYEMaGKLK0EwhjQ5hAlAhGsSRMA+K0xt6DTZ7YC6m1OGg7bexJ8JWr+WgFcPVmaNdhqimZaSnmpjUbZmHHppDNC+vEdpX/9skpDh2e4oZLFJdsk1y6bY1vPJNwbmWKGy+WzLQNNX9IIAOsEiSpRFhLkkas9WucW/G44Yo6L9jV475Ha2ycETRqLW7YZfipt6zwm58yPHOqxXrfsN5TLK1p5qebzLTrzLSnaDdiFpoxO2+ICLwETycolSKFCyYs7qaKY8XikiZOFHGiiGJFGGePkSSMJWEkGUWSMBIuQI0EYWQdqLMgMsqBHduMxWEUC4axA/haLOlEFuIQZVMOn0346oMj7n7sYOOW66M/esPrDnU3tLbeOOoPT/yvwN7fOsB/4t/8LscXrbpyw763/fFnz/zhrbseql11kWC6FdOsaU4tw+7NI5o1V0OSa2CpDEp6KGnxlMXTCk9bvEjie8JdBE8Q+ooodkCPY0uUpM4VSSpHCklqSVNDanB621CAWwhQ0nVzeh4EWlALBI1A0mwophqSmSnBhtmEnZsGtJrrfPKbEXc/Ncv6cptrdyh2bva4fPuIVKzz5YcaND3Nwoyi1Rjx1CF49rDmmu2WQai47vKYay+1nD2TsrTmMxw1eN3NPe59csiBU4pmXRL4ba65xPAf3rPCXc8M+dxd86x0LTs3pKx1NNNtxVTTo9XwaNYttcAQ+IZAp2jlpJaU7hpYi0tYGUFiJEkqSBJBnEiiRBDHkjB2zksUC6LYEkUQxilRnIE6I44wzo/MpYkFwwj6sWA9lnRiiKMQYQdsXQjpj6A/CrlsxypTwfFgtHiaZHbTS2bazY+nK7+aqrmf+fsN8Ei2ZbcfvXP/vrO/88hTZ2ofbmyjrkOMsQxGlj2Hhhy+vcs7XjVgumVQ0jinRKUuiNQpvtZ4sSbQipHnmCb0JJEviGLhLk6siBOIYukchKS0/ZLUkKbOXUht5pQUBVkCKZ3O11rga0HgS2qBpFkXtBuW6ZZh42zIwkyPxK7zsXslH/ziHBtqNa7dIdix2eOiLYadm9f45Lcsq6s1rtikmGlDqxFz7qhkcS3Av9hZnwtTkulpOHDEstY1nF2ucflFNV55Y4/P31NjrgWB76PkNNdcKvixNyziyUU+e98Mz56qsbEbs2E6YaqpaNUVjbqkHmgCHwIPtHYOkxQgRQXkuBs7NZCmgiQlAzrEqSVKII5TRwqxIcofY5PZjrkr48A9TASjWNCLBZ1Y0IstyShkqtbh+163wtte2ef26xL+8etiUrOGpxRaPRmYaPj+UWeXRvh/huOZv58A/7/f/ynixLznL+468mt7Dy+1g6k2SQLrYYqxKYiELz1Y5/6na5xZW+OfvXXITDuhFriMowskPXdEKZGn8SMnTaLYpdId4wjHRBkrJQnEKaSpcxKMcQGXMTbv4czA7QDuAleBpx1AagE0aoZWPWG6lbAwPWR+Zp1v7o3446/W2XdkmoumPC7dBNs2+WzbCLt3dBkkXR7c06auPBZmFNMtmG6FzEwl+L5GCHdzDUOf1W7M+sDS6Scsrvns2NTiRVcs8tWHBuw71aYRxHjKR4gpLt2q+EevXuam3Yv88VdbPPj0NCt9zYZ2wnQjoVGT1GuKwBMEnsTzXKyiFJl96FBucT2sxlAAPUlNtrpl1mJiSFIH7iSGKLHlETtXZpQBe5A4cPcSGA0TTDJkrtHjJ793hf/j+/s064rRsImvFKlQxInHYKiw3XNt4U//N+vf6h/f9/EP7tj9tr9/AF9f76CU/JHf/cBf/PJo+dTcjhlFmEKYCEZGM0w1YeqTeAHrYcCvfdRnz6F13vSyPq+4vsfG+Yher84w9PE9n8D3CCNN4Dt7Lwd4HEuixC27cZJ52imZ9UfG3DIrp83A7ZKUGXODVi5h4nuWmm+o1xJatYSZdsjm+S7nOgN++zMeX354ltW1JpctCHZsEGzd4LNtg+DiLSO0v85H7tYcPtFk10bJTEsy1UyRMuTUkiXQEinAWkEUa3Zu6PIQKd2BYq1rObdaZ9e2Gm99RYePf93n6LkAT8cI4WFskziR3HjxGjvf1eXLjw748JdneeRok60zgvlmSrOWUvMFgSfwPReraIULnKUoajIs7iYzFue0pA7wOciT1Ek6B3aIUlfrEuXJo0QwTKCXSPoxDGJDOgjZNt/l5Tes890v7/P6mwyeqLO+XiNONEmi3WOqiWJ3/Qaj7lxrIXrv7uvfqvr97u83m387NeV/KwDvdjt4nvdP7rr7vl8+dHDPhg0tS0NbhrG7+8NEMEoFw0QwSD2GUtGJPD7yjRp3Pdnnhiu6vOvVA954S4f5KZ/BqMYw9Ak8jyjxiGJdBEpJoohTSZJI4lSQJJI0FaRGlFrbCApVYh1zS+GSRSpLFvmeIfBT6kFCqx4yP91nGA/5+lOWj35jigefnmbG97hmq2XzrGTjnM+WBcm2jRGXbF3jyaNDPnPvAlNKszAlaDcF7UZMZ5DyxW/VaPkWIRywhqHmTbeFfOEBVxPT6RsW1zTbNrR484v7PLi3x54DPs0gQUnhQG4ajCKn9f/RKzvs2rzIR+7qcv+z0xxfq7OpLZiqWRq+oaYNvgdaCZR0N7JjcsjLj0wm1YwpV7gkA7ojCIhTQZxmwE4FoyRj7RTCyJBEEc16nze/Zo13vbrLDbtSNs5qRqMm3b5PlHjEsUecaKJEEceKMNYMQ02373F86eCG0D74yy+48VbT63U/0Gr9zYP8bxTga2vrpPEIKcQP3n///f/lzju/MdfvrtOsy8wZsXiJxY8hSC01JWik7qQNlM/Q15zsBpx+oMEDT/X5+DU93vaqAa+9bZ3ZaZ8oDAgTjyg7aXEG9CRVJGmWsElLgBubMbcp7SghbBZUujoOrQ2+lxL4MfUgolUfkjLka49K/vTOaZ4+MoWIAy6asWyetsxPKxZmfTbNS7YsxOzY1OXEUo/f/VyTJKyzbZtguqVpN6HdiBFeRHfYZLplEUJgLcSJZDZQJCahF/v0BilrXcWppTpXXdLix79rnff+WcCxpSZaxdmNoUmSGqNIsmku4MbLulx7SZ9njp3io9+o89VHpjndqdMMFC0fmp7F1xZPgZYunS/EeHWdAaxxN11qBKmFJBXOP08FUeqSRMNUMExhmFiSJMHEIXO1Ia971TrveFWXl16TMFXXRHGTtU4wcX10QUhhrAgjxSB0CaS1Toel++/aECf8lxdcf1Ny8sTpP5qZbdJs/s3NT/wbBfhoNKRRr3/3tx545Lfu+NrX291uB9/XpMY4hyRjTS0tXuJcCz8FX1rqxp3IgQoYJB6LYY3PPtjk7mcGvPCOPv/8e3tcuaPLhmlFu6GJYscQbvlzIE9zgBuJsRJrnSQoO3xwdSzKumSRTgj8BE9FdIcxS92Y3/hkjSOLMzy6ZxprfObqgg3zlvkpwVxbMTftsXFOsmkuYevCgLnpNb78mOGRZ6e5dptgpiVpNSTthqFZjxBeSBBotHJ/31pIU8kw1AxHMYkR9IaGXt+y2vU4u9Lm1t19XnTVOh+5o0Z9VaFl7ABpNUnqE8WSYegxP13jpkv73HRZn4defppjS5I//uo0i+sNTq4E+ErS9AR+LsOkCzwLIs+lCo7JEytIDMRGEKYwSiAyFtIEkhipQrbMDLl2p7seN1+Z0q5rkqRJpxcQxj5JDuhUFQTk5GTudimGobMmjZX0+l0eefCuuXpN/tbuK29YGw6Hn/mbxOTfGMCXz+1nbsMmdceXP3bZnr0H29Goh+9prE0xvshNCycNRFbroZze8xQEqWP1hhIMlWCgA4apx0pU56uPTPHNZ4c0g5B//PoO2+YSLtoy5Nare2ihaDU0Qji54rKSrlba2gpzYxHSooTzzC0JyIRnjkge3qv5/IMtnjneIkoatLRioW6ZbVpmGtb54G3N7JRmblqwaTZhy8KQzQtr3P10yPs+v4HN05qFNrSbinZT0Gok1IOQb+5XjCKN13SgslYQJZKaVly/a8gDT027wqdhynrXY3k94NzyDD/+hnOcXF7hgccX8CQgYgxkAPIII0l/qJlp1ZhuN3nRrgEvv3bAu25fYu8JwxcerPHg3jr7DzdJhCYMFYNYoURe+lANPLOcgDUkxmKNwRMpU35EjZgX3dDn4s0jts3HvPu1IXVf0qx7RFGDTq8qQzwnGccO6ezIWGbee+m1xylYFOeW1vnyV+9pP7331GU/+O53qsef2pdef+3uvzsAt/YbQM+Pel/5oe0b1n/tyIFlpqc8egNLaizagG9LFpfSOlsute6QTvN5mV+dS5fQwCj1GKYeg7RGr5fyXz4yg01iNi6MuGrHiLmphLe9csiODRFxLDK9LaHC3AiKQi0hBZ+4q86Th5oIrTl2usGpcw1qdcVUIJhuWto1Q7sGrbpgqqFotxQzLc3cNMxPJ2ycG7F1Q5fUrvOJe9sM+00u32ZpNxSthqRVN7RqCZ4X8eUHaoQDibcBZAamOJE064rXvXDIPY8Z+qGkP0zpDjTrPc3ZlQZXXtzibS/t8ugzDY6ttlDSAHGmlz3itARLf6Tp9H1a9QbNesiV20bcsnvEicUOR8+so72UJw5rPv6NBkK5wjWEnLiIBjBgLXGUsnNjwjteOWS+nbJ7p2XjHKSJRxi1SBKPta5HEiviVGdxkAN0DnAXE8nM2VLOa09ExuKZ6xW7hNIgFBw7e46R3PJrv/+x+wfezGUffP8nn4p+9C3X/t0A+DN7T4Jc3SWjA789XLtPNoKL0coVTGkl8ZQt2DT3ZpW0qNSB3FPOh3UAFwTGUkutC3KMJUoFoZGEqSQyHrGBpX6bbzxpsKR8+sEYIVJ3kay7SJCZJc4LzCoSJVIpklgjjcbTklYAFy9Ymp6hERgaATQCQbMuadWdHJpqSWbaMDeVsDATsmWhR8oav/EXNe57agOXzsFMI2PvhqRVT2jUI5qNIfV6g0BJlMw0OE4OxLHHaCgYhim9UNEfGXpD41rmmj4nz03xkqtCfurt5/j1j2uOrwcIYbA2xqSWOHFlxaPQlbG2hppmzadRr9EIGtSCmFY94sbLI3wv5ubLE979qgFaJVkSyCCEHRflmaQzRiKEJPAU4DMKNStr2tXtpHnMk8nCDMhJ6kCdFAH/hLOVJZXGbN3MyrXG0h+lfPizX5fvfGv42zdOrd3bSYZP/01g838a4L/1/j/nqadm6k/sO/CWg8cOihdc1GQ6cBkxyJhay8yZMwgyey4VqErErlPX+5jkEX0qSIwtI3vj9KE7BJGRJFaSGk1sAtLM9qp+lXUtoIVwmUoFtbqlpi01lRJ4EGio+ZZ6IKj7kkZd0qhpB/CmYLplmG0nzE2HbJjts2XDCu/7vOHDX93I9mnFfMvQbipaDUWzAY16Sqsec2bFcOhMQM13NzTklX6CUaS5eJNh0/yI7shnOLIZi0vWe5pWvUarMc27X7XI4TNnef9ntqKlxmJITUpiLHGinaaNXFHUoCZpjDT1wKMepHR6LsbwvRRPp3heipauUUJKl84X2eFKVwQgMpALOiarsjQurklTiTGSxJTxTpIK0tQB2iWPskxpKl0SKRWVzGlWq55m5cmpu6E8TzI3pXnTrYLrNj4oLplK3zJ38TWHnn3s48Orbvif88j/pwF+8daWv7a2+rPdleWfXTmj5VOjObZuyLpwACFdEgVcyWvZjWNRCnQqnAebedbOrnKebJpn3UzeOZKl2bNKOefliiJQqmpuyFcLF1hpadCSrKYFPCXwtHW+sRbUAknNl9QDRb2maNUlrYZlqpky3UqYbYfMzwzYsXGFB/eHfOSuLczUAja2DO2GcOCuS5o1Q7OW0GqEPLgPntjb4LIFW9Sz52nzYai4ebfl8h1DHnp6mkFoGY5S+kOdgdyjUatTr03zfS9b5Yn9izywZxNYhTGpK4dNLElsi3qSYahpjCz1mqLmGwLfI/BTAm3QOsXTrsRYKdcwIqUri0BYyihJVIJzV0JsckfK5PZrxYrNgW1EAXb3mgLYSQ7ylCJPkabu+gkBnlbs3CzZsXGBpozlyROdf7O0tuwr3folIHreAG5tT46Go3/3Z3/20X9poyV/1w4v820d6ATOhwVXqCyFJREWqSwqtWjjEgs6zWwqYzGV52mecbN55s1iskxcnqyw1lLJvI+tuLkcyhM6KrvZPEWlaMtl/wJfUQsU9UDQqAtadUu7kTLVTJhuhcxNDdmysMYD+4b8uz/cyPGT01wyb5huQLuuaNYVzRo0ayn1WozvjeiMXDWkpyxSlu8sNY7h4sSnXY8ZJIZBVmc9GKX0BpJOXdHoBdSCFhdtivkPP9Th335I8q09G7EojDWkqSFJE6LEEMWKUaQYBpJ6qKj5ksC3BL4i0AbPc36/VtYBXGUlyZlMEcKON+hmqX2bkYjNalnSDPCpKR8dMcnsUWTgpwC2W5lFsVrnRGaMSzw5+1SwuOax0tEMR0v+7Iapf/U9b32Xt7Ta/4WF2eZfO53/1wb4ymqHldXkl5567J6f7q6eqM3PBERxBiyVA9udKCkFykjSjDVSY0mzR61syc6pxRhbpJFN4dGCNdZ1kWcloNWDCYBnsjsLLHPXRrgVQ5Gl5QWelgS+xPcUtcCNZKgHlmbN0GqktBsxU62I2faQLQvrPLB3wL/94Dz7js+yc9Y5LK26pNmQjr3rlkYtpVGLidOIP7mjhVQKT1qUKG1CY/Ol3OMfvWaNrzwS0YsCBhnA+0NFr6/oBJqaHxB4bXZvT/iPP7zCL35QcP/TGzFWkhqXVo8TV2gWRoaw5spdg0BQ8wSB7zKbvrZFxlYr40hGZiucrAC8THkCGYngcgnObckCeUOZTLNgiuQaYwAvVuB0/NEYWxCUAELrwG+BKJKc3X+0tuVb9/7vb3z9K0UU9n7OD1r/awF+6uRRrLUveujhp+vhKCHwJVpTpMGL85R7rUagjCDNAG3S7DFn5tSSqpKh8xOQA97ZfvlJIS93xk68rxzgeQ1GnsnL2VvrvO5E4nnS1W/4glrgZp40gpRm3YG73YyYbg9ZmO7w4N4B/+4DszxzbJ5tM4K5ZkWa1DTNmqtfqdcS6kGE54WcWpnBUwIlTWbLlUFmmkqSRLF5xpIkMd245jplQsNwlNIbSeoDRc338L0anp7iim0J//GfLPHzfwAPPLuB1EgH8NQSJ2nG5IYwMNQiychXhQTzPPC0k2iuTsW5VzL3xrPHC2DcyRWypBCiSA6ZLDmUZ4tz2VGyOpXirnwFzq+pu65j1JR788YgrGHvs0/Ud19+8Yv+Z2aU/7UAfu/ddyBF0rjzzjv8JOrhaYmSpaeagw8oAGltWcVmjMBIS2orrK0rH7yQIbZyp2dyJH/+HO9NirKISsq87U1kaWuZNUrk8gRqHgS+oV6z1AOnnxv1mHYjYro5ZH6mwyMHRvzi78/w1LEFtkwrFpqGqbqgVZM0aopGXVCvuZvDpfojHtgj6I98aorsJnMaHFsGmnGiadYUt17d48Fn2gxiJ1OGYcpgqOgFisBX+J6f6edprtxu+JUfXeRnfg/u37OB2EhiY7Jm6bIHM/QlgW8ce3tlHb1W+UEmU0oZJ7Ms74VAnieFbA7wDPBp4bwwvvLm0jIHdk5m1pGZKa5l6XgVuLHu+p1bWuezn/ui/6pXv7rxxS99efCG17/ubx/gp08dZ2Hj1ul77vzM72oxelk9SF0QKRgHny3BbbIToAwYVbnjDRglLszaFUBXT4YtaWVcdwtXUCRkBu6syEgVAAeVVQx6GnwP1wnkZwVWQUo9kxeteshUa8hMq8vjB0N+8fdneOLoBjZNaxYahqk6NGuCZl3RqCsaBXun1IKEVmPE3U/4rHdqzMyUafL8QppMp8apYsOc4lUv6HP3w8Z10USmAnJJzZPUPI2nfbSuI6Xhyu2WX/7RRX7m9yz379tAbDRxVgHoyl4dkwexLKoLfS3ROivCkgKl83ND8f7ymzCXKiJfjinJa/IwtrpKVx6LlddWAJ7Xv9ii2MuasgCskJvZ4yhK8dd7Lzt06OgfvPMdb/mJY0ePre+8aOffLsDDwSnOHl/8mbB35J2eWCRoe6V/WkmN5x/Wfd9WPryonAQK+ZEWMoSCvccCyUnmzs5CvnwV2lvmFXSl7s4rBrXC1Wdoi+e5xuKab6j5KfVaQqMW06yFtBojZqc6PLo/5Gd/b57HD29kw7THhkbKVMNm4M7YuyapB479a0FCI4hITEgvChBK4uUMXmhwkS3jmV8cezT9kSsXiGrM5CAfpQx8x+CBL/G0xtP5BrSWay6yvPcnzvF//o7h/r0biY0mTAVRajIWF9RiQ+BZfM/1ruos7tDKlQgrKYueVydTRGUFdGe1uDGrsc4EuAsSqhBTDu6qHDG5xDzv9yauceaKYWH18CJCH3rn9h2PH4ri+Of/Vhnc2kPAtp2Hnvjdaxv6MBtnDXGakKTVyLq07mxm6ZnKEnb+nZ7/LmMBZA72yXqS0uq2JWtXg8p8uc06dFQWTGmddQZlRUh59WDNSzPdHFOvhcy0B0w1ezywJ+Hn3jfPY4c3sjClWainTNUsrQzc9ZqzE3Nw14OUmp/QbkbsOWq569EmvpR4ymRBXKkj88A5ThWJ0bzixpjLLulz6HidhQauzzFy80wGo4yFtUJrr7BYhbBcvRN+5ceW+fnfM9z7zAKjuO6SYYmlkdVwBx4O5DpfvUzR2ypVWqxwSooKwEUF5JynV0qQ23GAV1baEuATrysEVrphVaBTSJk0dQ0iDz11mp55+Nqf/T9/dOd9T5w59pIXbP6bB/iX7zvBp++ZvWhn+xv/dcqe+O7Z5jKKJqNIEyXjVXxjQD/v0Wa2U+5jU/mg5ferS+J5DOK4JWPwCXALi1S5LWiLmhcvY25fGzzPEHiGwE+o+Qm1IKJRC5mdGrDWG3DP0/Arf7qJJw/OM5+Be7puadUFzZoovHLnvBjH3r4DeD0IidKU0bBGTbmbTIrK0k+uWUUWaGqn5XXoutNjUQG4wfdTfE/jedJNFcja+PIs5HUXC37lJ9b4L3+WcP/eOU532oyakunU0kostWziQODZzPvPnRRbTizIpEoO8OL9Zm+6ivNCIWYXxRbXqgL2CYau1p+X173yM1MCP82ILq9LH8WCc+sjagvL371/7x3p7bdc+b9bu+eoEH+1AZ9/ZYBHg0No1brl0JEn3nJJ+xEWpudJbehKYGM1lslKU5HJjpLJ07wue0yyZM6IERUWoHLSqoztTnFVFeYXwY17yNnbZvLEVoYDubJYT5tszERagDvwM3DP9llaG/LLf9LgM99aYLk/w8KUZKGWgbvmdHcjCyzrgaQR2IzBnfauBREQcefjPmuxz1zAWD12NU4x1unwKNa0A80rbxjwwL6IXhwwFZezRvzQ1ar7WmblDxYlPYR0CRosXLFd8uv/vMsXHhjySx/YyMnlGYbTmmlf0EoMjQSC2I1e9pUbaOTlgaYURRCcP1YD9eqNKURhkpWGAufLi8LtoipHKOKr8zW7reQ68lp012QxiAXrkeShZ5/hyBH/LddfVv+T9e7w6N8og0ejLl7Qunzp1Bf+xerJe2n5AmNj6oECgRvWk6osa5UxeZb5Ko6q/i6YurwBxmyoSdauypLsROfMkqebcxdA5QDPynJ1lr3zdNbf6aX4XkLNjwn8mFZ9iNYD7n4i5Q++2Obz920gMm02tAXzNSdLnAWY++QqO0TG3FX2jtE65JvPTjOINJsb+fuZZPA8yJbEiaLmKV505ZDEOIAPY+G61vPO9dC44FBns2Eye09kyXWLYH5a8M7b+7SC03zgi0PueXaOs3GdQU3STixNbR3IdRaHKJvFJTYDeX4ORVk7LkFSsvikW1c6H3mqf1Kb27HX+YptzbgsySVbDu7EuD7RUSLox4IRgl7X57/+4R5arRv+xdve+B2P9Qf9A81G838e4PHgGH/08W/QbM5uiYb7X37lxiV2XByw1nNAsVY4YCWGWEpUmu24YEzG5HIC4KK4wGNamwrQC2BXrIeqfSXshDTJs3LV0W4mq/nOwK1cLUbgxfh+TM2LaDRG+P6AP/2q5lf/aAOHlmbxghqbWoLZIKUdWJoBNLMO+3rgsp21LCHk6lfSbCVw8mS5m9KPfHyl8KUtAkwqHyW/sfMVL0o86t6ITdND1gcthrHIxq25WMHz0szmU5ndqRzAxwJXV/n43S/tc/NVS/zKH4/48JcXWE2aDAKPpidpa1eDE2jwFUUzhM6TPtnKJwupUiaAqqQyLlbGLb4LrcAF4Av3ZFye5tZiYkXRSRSlDuC9RBBZSzzSDPrnEKOnXn72iNrS7a0eePyZE1x/9fb/OYCnaco/eedtF50+sed9h/c8w44NniuOUjF+NrhFFLUlkiQxRWFOqgTGmgqLZylfW9Y7FB+eMqjEigv63AJbsonMB3FWAC5t1pVfZe40A3mCr50kCfyQwBty9FzC+7/Q5FP3znH43AzthsdsDWaClFZgs9R7Dm6ZgVsWSaFapr0D39047WbIJ7+pOXCsTi2bwFW0i1Gi3FZu9jSVxInmip3wnTf3+IMvzdFvaNqxmz0SRFncoAxaS+d+KCog9yqU6laFHfOSn/uBAddefJLf+/wsh89OsZrUGXiaphI0MqD70robJ3OZitUvP6+5fYjT52Wm057vk+fElJdO2PNjqWoQWQLcJYvKAjuIjCBMoJ8KuqkgTlNQKcdX2/z3jxzFa9zyvmuvecXrzXr3L5Uq3xbgvWFEUPO454H7tvWW779098J+2s0UQZqBuxzUI4VBSo2SObizzpoxYDMB8gp7WzGWIHIsntO2HdOBObDdY2XUmzSZa5Kzd4qnE9e5oxOCIMTXIb004rc/5vOBL2zi1Mo0RtWZnVLM+pYp39DImLtRpO9lVqeSSZPMOy/A7bvsZRhHHDgZ0I8CZoLMxcmTTrkrkSfCbKUmJda0m5qLt0WoYEQvajH0BfXYjUXzM3nlZRJF566HUM8RvCoWpgb8+HcPeMsrzvKBL3R5/yfmWB42GeoaNa1oaEFdWYLEOjbPa/RlWd6QZznPY3IuIFcmHRbGmbwEd0lq6Zg8EcRZN1GUtcj1UkGUppCGiDTCpIKHDyxx8tyDl77gymTbDde87Ki1I4So/fUAfuzEOeZnWwtrvcbHfvI/7vFuunKKF+3u867X9tmxISnu3xx0SlpSqUhUXlqZVaNV9LitArsAuCgAfeEMpa3YgbYA9pg8kVmVnEodwLUbO+F7MTU/wvciOqOIbz4p+dOvtvnEvXOM0ha+7zPnC6Z9Q9O3NAJLwy/BXQskQSAJMmniEkOZM5EB3Pdc5vPIGcs9jzSIYo+gac8LMPOvgrmyUtQoVnie5lU39/jI1/rsO9lkWHPzXkLP4ifgxQYvMm6MnRSZjJDlcB/KFTE1ksRIGoFm4/SQ//P7Bly5I+TDX23x8J4ploZNRsrH8zQ1LahLCPIBS7m9Kq3LJwgqIB+vWZkszqoyerEiTzI41eAyY29LUQ4dGsHQOIDHGbgZDbh4Y593vq7PjZcbXnz1krdx9kUfi0brL7Cms/TXZvDLdszKhx7ff8sXvnT3FLbGFx/Ywefu7XPwzBl+8R+vsGV2hEsGuHl4idROAxvH4KbC4GaMtUV2AkQltV/pwMnxUJxBi8yZvEgpm6Lc0+lui1apA7hKCzmidUynH3Pf04I//FKbrz46xWqnhazXaNUV056l7RsanqXhW+o+GWs75q4HkpqvqPmCmk9WoWcycBsCz+lvpUP2n4RTnZpLrGT6djxxUtbPuD5IB/LESKJIs7EtuHz7kKeOJwxijzCb8e1HOPCpNJMoeaIG5ERnThHrmLxO29WHv+NVQ177wjW+/liPD325zcN72qz0GnSkT9/X+ErgS0EgcT2c0qJFHtfkrYZZ2e8FGPz8+pXqjVdN+o1r8NQKEpsxt4GRcZ1cJk3BhBANuWhDj59/zxrvfh0MR1OcXWqx/sy9U3Pb6re0Z674Et9meNC3Bfip02eDhs/vhN2TzYtnXZHOyU6DD35+ni2zEf/q3T0CPywum5SWVKZZgbzK5pFkkgSBNdVGYDEGalv8p3LmxqSJHSvQd7KkMglLpm4gfu5myJilXsLdj2i+eF+Lz9wzxWK3iajV8FoebQ1TnuvkqXtksgPqvsgOmZWcZrrbFwQ5e+cA1wm+n1DzI6yNufPRgGNn6szPCjxpMh0rykbfCtsV5aeZpBiGHjs3Cl51w4BPfSuiH3sMY0HNs/iJY/EwtpVVShV+NUKOyRR3yLJRwTi/vR6EvOP2Id9x8wqfvrfHF+5rcPeTLRY7DYbCTTXQnkILgScFnpR4wmZSy6IQFWk4bh9egMzPZ3DEuDQh09wZwGPregFcAUsEyYi2N+JHvqfDD74hodub4dzKNGeWWyx1VpsvmBa/E6enrwSGfy2AP/vsXgaDAQ0vYmFKsj6yaE8SDTUf/3qD73rpgBftjjHaedGpMaRCZZIkrTgorkfSTMgTKsvYJB+MBZQVYAthMjvQIDKAa53i65haLWYUpuw7BUdPKz56xxRferjN4loTvBq67dFQkpZnaWlD3bPUPah5Dtw1z80kdGWmsnKI7Oc2A7kpQO57rj3t0GnDU0cC8LxsmbeVFL0YQ0GV1dJUZG6KG+d8zcUhV23rs/dUg2FN0EgEQWwJFZm1ZzL2zt2U3IIstUrhs2dWpDEqmz7gMYo86vWQ97wu5E23rvOVR/r8+dcaHD1dY++pBtF6QBJoRlojlXTpfEBnjzmTF9KFMvif/KrGVyZfXbKS5xRIMrC7cXoGayzYBEwMJoI05prdQ97+qiHgE8Uew9BnZb3GkRMh0xv2U6vXvx2EnxvgR4+fEqPR6F985CMfnZ9ue0SJ4MhKTDyKIE7Ys09z7JTm1quGuK2GDNIYlJQYm7O3zAJKWZEkpe7Glq7CGLzzSL3QfC6p4SSJybYwSQkCN0k1SVPOrsAd39AcOlnnrgfrnFqrc+h0E4IA1dDUtKKpLU1tnIvgucH5Nc+Na3Mgzg+ZHSoDOJnmzsDtpQSeY293Y0UcWYI9Rxt4ctweLCQKZT14sWTnTorJexo9rto55PINA54+nDBIPFqxINTgJ24moKoAXEqBkHKMyWHcgitkUN43mSri1CP0fNr1iH/0mpCXXtvl1FqXOx/yOXwi4CuPNji9UiMdehipiX2FkNKtFFlXviTLeEIhW5hYgM+TKUw0qdjMFMeATd1hUgfyNAabsHNrzFW7Y+xI0GwMiZOUM8uKzkBw6sT++Td+1zv/xcry6ffOzW+5YPj2nAA/8Oy3SNP0nQ291pyfh907DS+7eYm7n+qw94jg9Iql0QThWzSukdW1Urml0Y1ucI/2AtrbpfXKs2KzU1H43GPMPT6U0wtS4tRy+ITgqcOKOx5s8PQRn2eP1OmGAWEUgOej2h6BEjQUNLShXvGBA53XaeRls64uPMhkie8rfF9mN4AttbeXusyi53R+zY+xJuLcqiS0AVpLfGnRFZttgsDL8mE73u8YJR4CzcJshFQj+rHHQAvndMRlwZhWZiwDKUUlis2HHWWSsGDyymAkL1XF+IlB6LNpJmLHxpgbLwkZRkP+8ZEOTx/1ueOBGk8dqXH4eI04URAorFQgJKmsZIOqyfyJJuax7FahQ/PG8LxJ3AAZuE322qQQpfQHsPegx+klwVOHLXc+rPDSmHYgGIVLzVr7gXcqpd77P8Tga6c+Sa83VM8+e0Rcvn2E76XMT4/YsWnEd7yoQ+hHfOwrdf7kSzWGEbzmhSEY8LyEet06H9tKMII0roA8z73ZImwcOxlCOC0vpKsbQRiEtMSRm0QrBBw9KfmzrwYMYsXjz9Y4eCJgue8Tpj5oH5SHait8KagraChLTeHGmams8Eg51vY94ZIeVXB7Ej+TJYEPgU/mmriUuacNvpdkGdGYei1icS3ljvtbdHoBM1MCnXnxedGXeK7l21QCQiMJQ8X8nOK1t474ysNDjneaDD3pZIoGL7F4ce5ZZx67TJ1dSHXWiSz+hrG68jcc0P1UkWpF4rmxD3HsOSvVi2n6MS+9JuFFV4a8+eUj9p+QPLHHYxgpPnxHgyNnPRCSwVCTRiov38TqfOmdsIzGAJ6H2EXmB5FYhDHYDOz1hktsYS2vvT3ke1894vc+0uQTX2nS81rEpsZlc4aFtiFYSRja/WLn5deo3/jDryY//Y9f81cDuBCWdrv22xdtPHFdv9VDKagHIVrHzEyB9A2DruCL36hxx4M1NswbrLXcsCvmHa8euYbhFBamDNdfE9Os2Wx8msjLJy4g2UQxnKczEDzxpGalK6nXJA/u8fjcvTVGsWIUK86c9TFCE1sPIzzQGhFotJT4SlCTlloG7EBZAmVdDbjOPF9dMref92UW4FZZj6Yo2Nv3DL6fF2ilBXv7foxSEd94TPGpb7VQvnZ225j+fm4Gz73wtOhMV4xGHm+6bchnvtnlw3dO0U9qNDMd7uU6PM6TMrboFhJCFgBzf0pWtH4F4CYb7aAdk3takWiNTlIHdJWilBukP1NLuG13wq27Y6wIedvtA0axG+f22XsDHtrjUw8Ey13FE0/7dAcyU0nigle4BLeTJ82a4frrY+anU9f4klre8eoh1++KsRY2zhu8huWZQ5rjHU2qNbopONWTDCIAw9lweN2uF7R+21p+/K/E4MfPdhjW2+2VIx/Y3a6fUTOtEaDQOqEWDLE24Xc+1uB3/rzNWuRBKlnsuP/v/mOWz93peudsapmaMdxyXUSr7t48z+FyF7d65jqs9xUPP+XT7Siklm4mitWOmYTGzQXWIDVSSjwpHJilJZAGXzog+Ap8Vc7ocyAXZcODdo0AeeNxFdyO4bOyWi9n8LRyJAQ6xtqIU8s+UVgjmJL4WdpbZVV5Y1nMvKOHMr1egtw5T1HsMdNSbJ+P8MWIYRIwTAR17YZg5jUkeUJLyWp5qyz+lvsbMkv+mDLJkpVQpBVplCRpljdQ2f5HCXGSomKXS9AqRcqEbfMmWzEMV+4YEdkhUhs6HcHDT2nWB66za8LjvUBboasRb9YsL7ouZmrGYBP3k4YCnc9rsWCV5Z++vcdSV/H+T2uSoeZcWmNlKLHGcpnuqEawtPvH3/Wu9k//4+WuEPPfHuCLi8t43vp7/9VvnLt9Syvi7bcPuObyBJVY+ibl018P+KU/mOb0euAMU0rmSLB08k8kLd11OHNXsxJFXjgBny0bxZ1vhcDkWy6Q1ZwKVQY5UmZWVg7qLO0syTZuzX3jyqPOOukV2dZ7FOB2bV0KPwO3rylKTB2DZyyuDX6WHfW8mCCIObFs+OOvNEH7eFKUAWYhT8R5DF7N9OVDQh3Y3GCdKPZ492uHfPruIc+ea9FPPRqJ25TWVQHashNH5TmBSrAnyhjHKQFZKfDKD1PUwmit8FI3L8XLgK5kmTRzdePZc2GywUEpWliETZlvGN74EgMizWQmIPL9M56D1PI6o1RiElVce5NAWNwjFpEaNs+k/OI/WQdr+fTXEwQeQgiuuHzIW1/a4+0vCm6PBi95r7XxP/1LGfzOr9+JlsIPO13++L5tfOnBFa7b2UNgCVPJs0dqnO74blqOyAFeDTTGl6S0+gGLIKOq0XJ2q+g3Uf6bIttGUArh9tERLq0ciGyIp3SvtSSrqci6x/NCIk1lDgrZzmxlV30JcFnIlsC3RUub75vK4JwEL2NvX8dIGXHsrGCpW0NoTSAZkyey+rEql7sqHcaAlzkdUeIx1w7ZuWnI3rMhw1QzSiFIBV6aDS5VoBIKZ6lMoauxToX8lLtJu7YoWy6lkUGnhlRJlM63L1dZsVqabSVTHkIaVAZykf9t3JQskU3Lyg2C3AkrMt5VDq/CwlZOUOWdu5p3Nx5jYzvhF97T4+23D4kSCViu3mmZbrQ4cDhhePgu/0L5nvMAfs22QygpOHXlEo8cspxcanHydEDeQYMnoaacVMiBXWTTLgTyv+RLCLesFr2AAkmZInZTqcATFk9koM0kQP68+F5G9mUpKEWDra+EA/sYuKV79HOg58FnBu68+0ebQqJ42ulT349JiPnCN+ucW6rjTSn8ag1H1UGZPDMVDV5keStJn1HoJti+4cV9vvnkiG5SY6A19cQQZel0JcuCqLzgTAhD2TmUB5qisCWddZjNVLGQKvc3tREkSqBTme1i52p5kgzoZTLNFAk2KU0l8ZY9z0t4C3CXrthzoeNCP8ltYXf+DBJLkqYstFJeeWMKIgUgjTzOrgq+/NCI/adOFRtvPSfAf+0PPsdTneZLbPdzN59cWSSNG6Br4NcqQJbjDFtozAu7BeWbZux3istQ1HWTeasukaChsNpUljLOp9LmGlflwJZuP/l8FEIV2MUcFIXrR7wQwPOAM9fdOpclNtPb47XkvhfjexFnO4ZHD9ZB++hMnuhKgVL+2cQEwp1VWqm6K/pSZeGJx7HHDZeFzE0P6aw1GCSKhgIvcZ9FpW54koqrAHeAKCsc5ESlpshKVrMEnDKkRuAZ4YrjlCFVgiQDebV4LS+HkDnIK6DOSyYEjtWrwK4m7KpViN8OKPl2BdXaIyEMSWIRoSm+p6SlURuwceEEGze3bv7Rd7/8Jf/93/7ZfcHcuy4M8NFQEATJGz/6tdr1DzypEb4Hyqvo32w7bcaLcPJsVg7U5wL4WDUaJbDdzmolwKsj11QF5Dlj6bw2IqsBz0s9XXNx3qniZIkquldKYOfNt469M82tKfR2bgk6xi7B7RXViTGCmM/fG/DNp1vIQONL4eZvFxWEea16yeKTgVcxGq1gcRdopkYxHHncevWQ73xpj/d/vkWUBvRTSS21hNlsdV1dMYTJ5JyZuKGei8nBaJl1vIsC3KmSKGUco0uZjZYwlVLkag2QLUE+lm3OmTwHOZRyJSc6+5w4KRi/8u/kFavFozQY6VbWd92+hNXd66OOfaO14r4LMng8OIYO2q89vv+zP/Dwgyd4UDWwqoFQGpUFdK4e4TlStVQv5IXZujjvFWYrEjqUYCj+3RzkldEGOXO7LUjy12QMTtGGNcbiWTeMp8bB7cYpTDB31rPpZ+1tns4bDpLKERMR8+d3tkltgCqyl9UAs+xrzJ2NMQ2OqPQoOnCbYrafIk01Ao93vHLAn3whZN3EDNMaw1TgJRQsLqVFJqIoOnN24aQWlRVrUozXYmvnaDhwG1JtUcbJlVRZVOoqGF32WBalyaVFWa3uLMuY8500qjq8NFcqwuS8oq2JEo38dbUOSZT1R+CC7i9+c5XjvfQH3vU9b7jr2f0nv3LVrm3jAF/rjfBjfdnJ5aVLVwfLyGAbQmrq2i29XoVVZRWcY0Au78rqfI1cvj8nyIVzbcebh8efT2rOHPTV2R5KiVKLZxV3Y8NuMmBrJUonpbADXce9a0y2GXOXAaausHfgRTx6UHLgdA2rPJSU+NKgJ+s0Kidp0kXJj3LigKj41Q7kceJx6ZaYqy7p8639dWLlM0wENQleatGJyORb1oWTZDocST7Jt/yTosLi46M9TGUMmxunZzJwZ+1sylbAndcC2axMIGdyitWjCnBxIQYX50sVx+jVGqSSNM+XK+VqYq3CepZwdI6ad/pSLYeXBd7wK+cx+N1Pdmk1E/70kzXueGQT9brv6oSVKQv3sz8kmWBnwQXe8CSbl3ft2E1RXcoZX9ZVUfNd2m6lZBGue16U4HZBpii6xXUBbjkG8OrwH9dtTwHsIltZMHeKr11ix3UFxVhiPn5ng5WVOiLQznev3oQT0qQ4D2M+eDlNoFrHXXjTxm0BMj8refurejx6sE2Y1hgon3rqtHhezqokGbjztcJknnhemOtYnAk9nk84qE6lcodEmcoUYGMpp9HKMS0uss/tgCfHGFxWJcpEw8S4ZLEXxE/1d3L85NNw84K7fPj+d9yYUp9dodk4xXQwKP6dAuD/8bc+h5KSxeUusw23K5hXuWBVOQETAD/vjVWXnPHvVVl7XKZQ3PWTICknL5VNsdWZgwXACxbP5YpE6XGA+zobAOTlWwdmGU5t8YpUvMmep2OHVq5z59lj8LGvtgilj5Iqy16O34iTGczJ81QtKR3X4ZkWTxVJqglSzdtfM+IPvzTgycN1YuUxkBI/NZl7JJCprZwf69rLRDWxZrK/Nb5vUZXJUwO6sBDdzhsqKwlQqS2HdWYTaUXeqCxwE4MreryQF8V1zkF5PtkxCfJcx40RZHWkXClZ8r+pIoOnNXbtINHwg1ltSwXgx0+cYvu2LY1//vP//eKHBisMccNhqm+gykKV9zSO3AtcyGrQOd7uZAtwT6a0z5coogDO5DhkWWHsPMjMpzZpnW/ymmlvNQHuPH3v5Y3Jxs0MKVrE8p7OJDtilBdx4JSmF/mgdCZP7ER57OSNO35ixgcaTXjhWTdOmfjRND3B7q0jnjwQkZqAofGppa5mW2caXAm3kaszAnJGNFDU/JjiQhUZzqweRheDTd33lIFUOsCrbHcKacoJAfl0rTTv7i8MgEpQWDgrz83GFwJxju9xLNmJ3xXFv1MGpT56ENCcufTi3Tf9dGNt5RcGM3ObHcBPnjrD+vr6a665bO5n9jwzopHNC6wWq1+IfS4EcCa+JSYALiaeCzmhxQtwizEGl0WQWR2qmYOcskZaVUCtxncx9hSZF+7A7QBcDgXyqvKkyt4q6+v0I1Z7hv/7L1qsDGuIwHPyRNqxVaUcnPPtMwNj0wRM2VNp8qbtrI673dD85Ft7fP3RNiuhTyQ1Qynxsx7KcuRDxuBVLStMkaewmAzcBouccFZExuC2CNJzsCspMgZ3kigtXJQM1LKMz6rthAWL56CeUAGTmKAA6zjQz8edmOj7dNNs41iwtbntZ06d2H9fEg8/DRmDP/vsXoLA5+zpk7RrKVb4JInb131s2Hz2Vy4I8At8TYK7uA8qzM2Y/halBq+wYVWa5B0yBbClyOaRTwLc2Vw6kyS6AHiuuU0RVHraFOD2dF5/Mc7enorx/YiP3unxzKE6SA8pJUFeGlsNwkWlD1MIxAVQfn6/YmW0RgbyxMhskyePay4d8N0v7fKHX6phdMBQ+gRSFEkfJQVxIQPOZ3JRZfJ8HHJlFwdr3WBUZd2qYKxw4M6nhBlIi/kpogR4Zb64+/zZ35UlwHNHrMBBJYgsAvDJnoCJb01mPosWuGzlixNBf5CSHD/NIPRJErcxhAZoNQNqNZ+plkerrjAI4tjth5MHHmOTizJ0228H8FxHFcDOlxV3l0rKCz8pUcrAMge8KGTJXw5wWQK8SPTkALduTnYmRTxVuiVeZThQqbkde3vaTa1a6xg++40Wy50Aapl7Ut2S5TkkCtWGgAoxXNC2yy1DIzFp7qZoZtqK77p9wGe+OWKlHxApzTCVmT0pMvdGlM3Yskyu5MC2tuz6MQWbl/2SOndWVPZcZq8lpIrivFdBLqSodN/n12uCwc/r5bRlxvUvWeWq4C7mlFcknTFum5QwkXT7UJvySUxAnLp/VR86dIjp6ZmLHn30kZ9aXV2m1fSI8uxYmg9rv9BYNTEWKF2Ywi9gC1Je8HFQj082LSrxcgdnDNjjs7+rHS5uuDvj4M53NsiZW1WY+zwGz8dNlCMn3AyYiCNHBfuP1TAECKmL5tyyenBcYpWuRrmEVWtRSiYXFXkiCiejaDdLNVjNFTsjLt08YmVvHZv6jsVTJ1N0xcUp7blqoVfePSOL9+B0kagEn2BkOf23Gtso424aI8m0d35dSjLKB+nnHT+lrScmpIoYk6p/NXCXcq46OCln7zAWhInm1OlzbNm+66dueuEtjx89cuioDrwUKUab2k3zWmnWqQUekBR/PDXuxOV2krU22/CJUq58GyafnKNRZbWqNTgGcjmuw2XB3OPALh4V2Sjgqg9ePbItrVUV3BWQZ/vVe1lpaM7eKnutdYxSMV/4VosDy3XwS3niVazLsRuW88dFXOjilWPOyq4nU93dLC+jjTSXzEe84dYBDz3bAOORpE6Le2mW3U3HpVLJnHmBW24bymysmhhb7q0VGJk9l9mqIvPDnfs0WzGkyFjd5CusLYipTPgIxt2UcS1O/vq50TMO8Im8QZqNmogTQRS5rQqPnVrisiuj13Z7o029QXxUn1pJaYYph88knFpJmW5olJJo60z7JK3M8c6AXgX3+U3D4zHwGHtXwF4Cu2TzyQAtB7S4ALALNlei0oRbAXc2n7DctoPzga3LAUHFiDdtMpAnTp6omHoj4lv7FJ/+RpPhyIeGRkuBJ8alyeT7n/zc5wGcCf09YRlWffE40Uy1NG9+xYgvfXPAg/t8bNNjmAb4guJGU8XfL+XBmPeWgbzqPLvgM7vBlGPzVDo9biqsnQf1JgsupRGVnSFEJdCdMA+qzxFU9bh4DgaoqoNqPU0Zp+SDk/LNrRzgt25IuGhzyMbZEa0gRCuboknR1oDrFHL1Hkrk7gypHM965R0Z5VJXBbk479k4i1eWq+KDj080LYNLUYCmmJenKrs3KJHVppTgLkGel81atC5HKOtsEyatxoHuFWztDqVcgOn7EXGU8qX7Gzx7vAGeh5AqA1U2N6QSXAo5zuKTrlF+9QrWzmIZW8lklsOSZOGJp6kmijRX7kh43Yv7PHG0Tpj4pNJjaBR+ysR7qQCJ80FuJ94LKr/ZDEYJVN4cLgVWgbSlHi9WVAnSVGYZmnLVKMa+CYEwpZtyIbJ7rtWtADgT3r0pp2GlBtLEvXbeeEAY+fQGiuFQoZ957A6UUnS6PTYv1Ahj93+0wgFFCIuwAiNsZQmzlOMf/tI+nfELXNGopZtSYe08sBwLMMsdCEppUrEKC8bOAV5OTi0kSsbcjrFtwdS6eCyfe1lwqVVM4Ec8fUzwlW82GAx9aHpIkVcOUrEHL5DFrKxQ1bOR16I4dAnGB8lPJHwqBVhR7NFqRbzutpDP3D3iicMBaJ+RkfiZFlcGVEpFJuCqSzPgkVbBXgLbWrfyFddWOjbPV5U8yDfWgV2aMtEmTOmmFNfSVIPNqm1aavIxOqwCvYIpk6sFO8HgtrLJVbYCJimsdxVfvOMx6vftx5gUfenm/Xga1prQ62hOL3vZHehOhBTZPyrKD3eeo2LtBUEuKv8pl6jsLh4LNEUhUUrdLSrLnig1uBrPZiqVrzhZ2azKgV5hblVh7hzc2eHlU2izAn+tEnfoGM+LSWzK5++rc8/TdahpkK6h2auU8I6VxlaP6ovnYKnzAve8qTxzVPIpBTnQw5HHy68Z8IaXDHjmWI0k8bBCMRQaL6V4TyItWbx8Cxdm8uoQe6UyIEnH5u61QBpR6PDC788ZPV9tCxatsPeE/i62nBFVfJR4GVtZqGKssvXNBNDz3dulgO4g4aljZwkTjRQWfWplDc+DxWU4dqZBnLQIvOzNKXfSpbUuuja23GGr0OHlPvTVU3hBkF9Ie1faumT1sQrsMalSTdNXjmzHghLolUOXm6DmgPYqoM6dE+eYuEelYnwv5vGjko/d2QJ8kB5CqKKLSGVp62rWtXrDlnGImABY5QIyETxVS2hT17rnptCqIn1vreYdrxxyx/0jHj7kJgnERjFIRVbwlbtgOaAqE8ImrpS11rF4FeiO2LOb0F17JSUqD4pz7S0zNhfusVhxTcXJkSWYx3a6KBjcVp5PAvwC8w0rO4bkjJ7/E806XLwtRdZDemFWZfrBT28DIbAmpuWFLMwahFDZzrzldH6RfRAjSxYvlo/qORt786U8yQEO4xJFikmAixLgsmTzaqHVGMiz1rRysymbgT0fgF+Ce4y1K495Y20uVZRK8LyEOE2468E6Tx2sg+eBdMGlL2xlcmw1sBq3OsfJexxatvKkaICo6Myx6sJUYlS+TYwmjDyuvnTEy29xLD5MHYuHwmdk3PboReCX5nZhHlBVKSgnp5LJi5VFglUWaQXK4rKfViCsk6/SijGpIvLHSavUVM5HtR4lX8kppeoYjGz5fLIorcriNvtYUrrnm+c8br4qoF5TpKlFX7XTQ0iX2ImjlCDQrg4lewfFrljGYkTG5llniMSdiee0Ci/gmnABaVLV2mNAr9afCIq9d4rdi/Pm27GGh3LrEqUmwF0Zil+4JypF6QrAM4ni65gDZwQf+lKLMPag4WXyhKI1TVV3Ca46J2PR1HNIFDsO9LExZ5XNAYy9kBbXNAPJD75uwOfvabLvlLv5UqMYpMpVGaZZ8gfh9HeajeWYWElycVkFuMxNBOskobUumLTSbVRlpXAAN9k1M6VkKZN047apzM5Jbp1WT9G3BbgdB/nkJmb5z3MpfXZF0xvV8DzPSa73/+5vbJxqBf95eenUFfksvnwvxVz3CuE+WBkBV4r5hRgHZxFhZ43CUlQ0dGX0r5SZtZd/L3tUcszymzzykQlVj7t41KXudg7KOLire/WUxVTZ7g86LpoZPB2Ryog//FyDP/nKNAQBqBpKaRrKUlc2G0dB0eDsVVrjykxqNRElKSfDMhaglrFEaTvmN62QZI2/ZS+kkhZhDds3RZxaljzylE8iJAiFEQohXCnteILlQmwpCiCJ6mtbETUZ2KscVjg/lRujfBRjkqKQspXfrw7Gz+VuwchVMFceJ3eESFO3UVWS7aicJLhtTyLoDQwXX/aCTVdfe+vX9NK5E9Np3H19qxYjlSp2wSr/kXJrZoELNkU1dT/BSGLidiztoAsxt5iQKFmSp8raY3Xgdkx7ywIMpSRRFe2tip0eKhtRKTshSfJKwZy9Yzwds/+05CNfb+Dmrzj2Ljr3878vGBsvfF4jCIwxO6IKoAlwmGptSDlX0AWeWVbTSkyqSFWmxVPN971qwKfuarDnpAcywgrJKPXQiEptCIg0u1JpnvjJoVqRTtZmAHWdW/n7zCWptCCtky257pbW/Q1rMn/cOHljqgFmNQiveOLV1T2/vwodXkki5jdBbg8a46bQGmNJUlvulp3djHGcsLSy/nohj09rrNuEdKaVIlVunAui2GWIhMCNAq3ul1O5Q6mcKmzOEGLsDY/ZQhOyZLz2ZPx5FeCuwD3X35XnOZDzardcg1fA7SaymuzR2YFKGVTud6sEJRNUJk9SlfC5+5rsOVBqbymk876LDpqJi1fR3eOvC24cX4KL5+MNyGOeeKWYSBvhalNkmcKPYs2Vl4W86SV9Dn0kIErdtINUaIZCoNPMviMPdHNHpRrO2TIEzhBlbRkTKJw0sdZmWjw7hC1T/MIlAaUVGJFJlbG6HPf93D6sAn+MBC90jiZYPc0qHtPUkiSGOH9MSrCHUUy3F1Kvj9ALszENLyIdjEhNQBhJRrFkFEpGUek/WpUtW2Mnofp2JuL0jNGq1XSl/hJjYB57lJMAL1k7f60kRQG+kiVzF0BXVSYvdbfKg8h8ixNp0LIcmq9UiufFHD6j+O+fbDOSHvkErbJrPltBqjXQ1Qt2oat1ga/x5TtzM/JEhq3UplRS99X6lNRoktQjSBP+6Vv6/MVdDQ6d1qBiMJpYeAyFQKX5uc0L3HLXYhzkuTdvAV1J4llc3KWkY3aZMbnKbMQqm9vs7xiZxWrVlXki5hoLUyaAPnmeyGVNZWvwNHWAjmJDGLltF8PYEsWW/tCw3LF4ddDzUyNa3gAZ9uiHhsHIoz/UCFzQEudZIlMyksxXWlGCvXBKKu0Ypf4TxQfIq9wuFIRUgS0mWDtPpOSSxIHelBJFjjO4HvO3MzCP+d2VQzoW93RENzK8/zNtTi0GoHRmDcpMntgx37t4zvhnqX7usSX4QkCnIlWKxoNqj2auP2VxFM0QUpEmmq0LIT/63T1+5UM+ndgFBNZKQqOcbZjm78NCWrUNS5CX/3U/URm6rKVgbpVnNvMAVNqSwW3l2hVgd4cRJbmdb6WeD/gLgby6bbh77YAeJ24/0f7Q0g8tg1Cw1BHs6AhUU6AT+iA7zEwtMSumWV5voGUdYwRh5EZFFESdvflxG7DyrrIb4LyUvDj/eC7mLornx7p3yuL6nLXzxtfc/y6YXJuM0U0hTZwcMRWpkjN2UjxqFaODmE98PuB9H28TGs/JE6EKeVI0FUvOdwoYD+bEGB1dGOLViXalVVgFfZ6ytxhjiuxmkcI3bivwmk748bf12X/M5wOfc1ocFKmQjIwLOGVKweBlAVZOm2WibjJLrXKpkoPaupu8AJrIguF879OMkHI2d3GWxWaANlTkyxiLT2Q3xfh5snmwWw2KLaSJZRRaOgPLykCy2BOEUUQqQqwK0Z+5r83icp+4L/mR71zhki0hK80Ya6dY6XgkiQs2rSlXtDx5UF1WxqdT8T8G7iqwLyBPZHYSXZNxZctAVXUdTEWq5GCuMLksqwML3V08ulmDq2vwF19vsBbm4HYA96TT3lqMy5OxeCF3kSoXpxo8jTF2JX6pjs0eq+qr7BJd7fQp6sSlRBmFMZok1Uz5KW959YBP3ddgpadAxmAUMU6PT1YXjt9yz83kLg9UJoXy+hSVr9wZixegrgA/Pz8lm2eJpyrDF6t9dXOrcSxN5lccHiRaO3m42ofDS5LFvmC60eWH3rDIG24fMD0Vo0Xcpt8Z8cCTM2zfeJqbdq0ximJWeh5Lqw2GkR2r/S7IeiLlWnjAFwI1FwZ3yYB2rPa7qOuo1ngUgWW1wWA8qMyH05TgTscCzDzIzPe50RX29hoJn/9GjQefqmMq2ts1NeTyZLzepKi1YOIciInz8ZwknrFn4UiVEmWyGcJWg04rUbb0xZPUQ5uEF10T8Z0vHPDHX/BBRSAkVghC42bbKFw1eCkb7fhKXMmuFEFm3iNh3fmvBqBSOE1upWtxzK+ZteU5cAHo+YG4LWzMqp1ZAbstb5iSMLIYIrNaPU+hFCyPIuZNn9npkJt2d3n5dT5TtRmknUHfuNtyw6UJL7uyz6fvr/Hf/2KGZjNgc8NnthHTbGg3IUrJCkAvLD/K4ikm9FZu9FcliT0/0KwWLFVliSiBXboo2Wtl0dmIMSkzx0TaTFdXJEnumMiKRJHOPQm8mEPHJR/6fIuzPd/tdy3doHclKHdsuMDqM36IMcB/G3VSsnkhUapL8fheRmN7jVbqxPM9SZV0259sbKa85zv73PdUwKFzEkQMKAySkZCVTaQciHJQi7G7sJRJxX+LbGZ2HXI2rwBeyNxZEdi86UFUWF1W2+jExHmzmfHg/nA+LEmIKriBvFxDuKSfrwVbFuCmqw0Lsz1m2+s8uB9+46PzvPgmj0t2gB7E69hklVNrIQ8e3MCzR2fZOgNq1uALl+0TvruNlZJjDPXtPE55gd+hwnpSVsFiKxrclpJkLNC054O8mJE9+TwttHfO4jofB6wSlEzRmS3o+zFhavjdj7a559G6622T2mlvKV3XjijnrxTNBPnNyDgzTTJ5FediAtzjGczStSj3eK+Wz1bLaF27mckdldRt4agSzctvjPixd3T5d7/rEybSZaCMJMlcFWlE5b1lmYtq04F1LWlU3p/KCu/K2CDrrs+A64rwXJNEDnIhs8x3dr6cETE+3GkSR9aULF2eT1HIvvzcquxj1XxLu2HYMuOxdWGKTQsQxkO+sdCh1lojaAbozzysOXO6wV33bcaqFpdvMsw3LNNNpytdmt7ZhFVtdiEt/VzAzsEA5wO7lCt2zPMeB3e2JZ+akCfSFt9z22abikSpHjl7p9lAyaRgcM9PuPNhj0/d0yCMPKjrQnsX7F0Etowd5zH3BOPkF+hC9le1hicHdikNKgVFWcFbwd62nCcujZMqOdCTRFNvJLzl5UO+es+QOx5WzjbMBqbGQjOkJKTc9arKFStzj6WSwne8XtalyCybKUBln6/Q50JgM+kiMl1uRQlaN+3LBbWlRJ3o/LGl8UAmgRAUdSfkMZt052mtr0E2GESSjVMe/+aH1pma7xLUmmidBoikhjY1FqYsrcAWu/y6mpRSoeVPxgAsvx3Q7djPRQXYZXNAObCybHuqBpQVizADsxQTuruYhGqK5wVr54cqwa0zcPtezHrf8vn7Guw7U3PSRLiSWJFrb0FlgpQ9D9zFZy/ikerS+m30SQ7u3G+t9rxOSpWJxM9kvbiUCmlSpNHEoWbXppjvfGmfB/f4dKIs/WqcHo9Q5PtASDJvfKyMtrzQFpfcKcm9lCxFQZa1WYCZzdHK45TMcSlkSiYvbBZM2hywYzJ1wuUx2eqSrRA5yIv3k7WrDUOFkl7m/GlaNYWihaSOnq1bwrZl25xhqqnwtSDINmXydNk1k999Y9s7T9hl4wHk+cvROGNXlvkKY+dL0NiQR+GYOpcuuSSRBYArIJcTAWWeyKm6KNJ1yhtS/ugLdd73yRZWaOd7j7E3pfYe+6znA71aWEaZy70wxiuyZIwlx/R3zuTnt7LlWzQaYzCpxEjniytpiFMPqQw//uYBB097vO9TmjgpQW4QhEKiTD5IIs9blCAv7UvhMjj5e84DTmHLUlaZ50RyuZOzdtYgk1/fQptnGexsVRBpzvTlRIAcI0Y6a9OO3fyZHWnc9t+uQV5irfucw1CzrgS21qCR1NALU2BGsHHGbYKqZDZm2MumsWZDdMpO9tymuUB5pBwH93nAntDZ498fn7ORyxJVAfp5zJ3Nx8tdEjkmTypNw5kmzy1BJWM8P+bgWcmn7mrS73tQV+ezd1HzXbEwRZngKYJszn+eX+y/jMNtqQEqciDX4uXcEmPyeo8K0GUOdImRTotLqYnjlFYz4c2vGPCle+scPJOlX92AalIhGFbfaQ5um2ntXJPLPLtpx2vEc0kiK4VVomRzIUQBcplJFGMz2ZKzuCitVWGc9rA5+DPNn38/Z4r8HKdut5SCTKx1md4octahNSDqAc0wQLdbNYbDgOmWxvdUpQ2snDEyNpohi2ALcFfqtCclSTkUZhzY4wxYBo3l7+QBJePgzplbVAez586JqWy3kVbY3e0n42pNHJNrnRDGhq8+0OTrj9XdcHDpOYBPsHfh4FQCpvGak3FHIMeN+MuQPU7o40CvZuxMlj3MnZRsKxKnu00pU4wkFRKVSoxQxKHm1ddHvPpFQ0580SM0MqNKCUaQoAmFayyWhlKm5AI4kyuqWIZyeeLuFTdcKkvp54Amlx22OEm2cr3zQNPmN4G1Y9KlkDAZ28tsxcC4vy8EWROCdG14eQFW6kZH5AaEMZb5NMASoHfs2L4ex9GX5mYa34M1LgjIW8cg64Osjki7UCHUuMU3mbQZb2Oy57F8CWL3u6oC6jKTWQ5iz2dTl87JuP5WarzGJE/FS+k6daSfcPfDPr/6wSlSq0vnRCqEkG4fIFGm5ccZvAJyeWH2/iskMUtk5wx4nkyxY3LFUHaTWyMw4gKaXDpvXBhNkhh8P+Vnf6jLvpOaux+SGF9kkHUfIDaK4ZigykAun0OTF154Rmz5+5U2Y3BR8a4tptKCWAJdZPXbtmicsLLU6jl+XAlh9l7y18U7cqPnjHX9GyLJXTqn3T0vwA9aX9q0adu62nXZjn63s3Ko5ssf81SK7ys3NkKWY9DKya15Jq8Ed2nbZd/Lp5DmN8JYgia39yZrSjLQqurvTCRyisOUBVUXBHdZTKUqdSeq0mt5clXwqx+a4r7Hmm5THuna0ZAeWgo3NlqSbXJlz6/dHjtE8XmL6VqyOsrC1YLn07eKhumKZCtfi0qpgr0Akdix2EVUCKSQgtXdFizMzyUE2vLgkz7rQzmx1MhiinhZcZgDZSySqNytf8nSVLm7x8aLXKCGsfxFMXYrFTdU9T2I8dutusKlBuIYwtgyCg1C+pw7t/qep5/Zu08vTLuTk6aWMIQ4tW6ISloGQaJg5eqAyQp4q4xccT3GPW47/lpOMvk4a48FmBXWzjV3weIXOlQ1sMxKYbPnqZ/yoc9M8elvNLE1BUI5dArt2FuW2lufx97PbQ+O7YV5/rU6zwO3E6+rgHDPJ4Or8Q6ffEZNztzWmrJGRSikMaRCI4cpb7l9yLOHPd77+5ooSMaMems8wqx2xmle4WhR5tq73GY9lyFKVHS5oAw2c9kiKGpPbCHnnJ6W0q1AQthxCzH/N6Rw3UPZ72LKla2QLJn7YnLtbiAxhjirLBxFCt+3GGvRF28dIoQgSRJ6vYjVnk8HCXHZ2DkpR0RFM1cnm55XT1KwSc4uE3KmorfHQD6mwyfdlNI5kVUGl2n5KKvgTpGV2pM7Hgr44BebjNJsCr7IrUG3iakv7Jj2vmBqvgp0GNPgY3JFTKD8girFIST3ns/LaGLPK6G1spLZlBVnRShXmCWz4ixpSI0m8Aw/9IY+9z/hc8djzi7MvXGkwFhNmJf8GVs+jqXvywRQ7n9b6+SDrYI8+7nJ5UjeBCGoWIOV4LMyxyVPIlnp4p38b9ksNijOjaToEbY4oMexoTtMWe0YpJfieQprDfrKi49l/B+x1pU8uX8La92aW7by8zBmlVVKWAu2LVPq4yC3Y4FnVWeP/3yCvcUEqHPmLli8AnA1CfIKexdHgtIxgxB+6Q+mOHwqwOpyt+Rx7V1ubnXBxA7ng7gSW5ZAzvH8bQR51SYsmL2ix8viq6oeP782xcis4lCOs7hIDUJoZGS4ZGvML/xwh/v/VUBvlH0YU7xJUjShpRQSEyDPgWZx5wayBEzGtlZSjG8o2De3E7M/Z7M/WdSOS1vEfBab3QiiXAVsPr7EnUdZeV/F6pC9FykF/RE8eyoklSn1IMYYg/7dL1+KUppet0N/ZZnZFtT9iWCyytqykrKu6PDJlHvBzBMWoBDllhdjo3czABcbTylTAbrhvEBTVJM3Zvwx350324Ja65gkhd/6RIvH9tac5y1z5i6dE09UB2naygDJ8cTOmEU45p7k9RbfbiCZOP9bFRlSNkBQ9j5aZ7OdV20oHIMXQWfO6KnEiOxIlZMqxnDDFTE/+b0d/utHp4lSiZtBWaIvRTFKKUCdg8niAkEX6JVsqsj9a1dxmANYZWA3wiWTSoCXAad1uM489dxJyaRMJe2fB7f56pCDXcisoToDt68V114mecmNfTZt1DQaDdI0Rb/xle+i3W7y0CNP8alPfx5PajfIsVJXkoP7vOaDIvmSux+TgdA4Y4vs3xBiXIaUdqEdZ2/pNlVSyma761a1+CS4J1nbMbdWCbqW8rUHAj7wiRadoec8wMzzJmvSzdk7z1pW442qDi9Hs11gBuFYWCaK12IS0BOsfR7ex4BuqSaAStbOpsLmkqQYu2wxwtmIqVRIa1y9SqJo1ww/8rYBjzwT8NVvKWhUaDWrjkuRhDmQXeVTJpwc9dqMZVUWPVqZs7coMs+YsskhlxQO2DYDJ0Ufqsh+xwhX31L45w71YytG4dXnCaCigMvtpNeqa+abTW5+wWvZtvMawrCPnp/xaTYDtsz7XLTZp910JYhUGGusB7JS7FSVKaWPXSZpykTOhCSZlCJF9A+T+zAW3eRiXHPL89LwKTLT23mVoJQJUifsPar57x9rc3DFy/a9d6yd79acs/d5zcSTQSUTzE0F2JXlUjy35C5l7UQtSsniZQBXNEJwoTT+xJCgvBDLmmJTWZFLFWERUiNjw6WzKf/07T2OntUcOCWwuiqwBEiPxMjiFs1lBuTMagtAWwnK2ALE5DpalBKi8McLFs/a3uS4dJHC3dk20+3ub+RjL0rPvZBOwv2jef15YgydvqTbV1y6HjAX1RgMU3Q9cHu0z00JLt0mSIwgTMbZu9pZU+2HrJaylhLEMp60uYBcEVVtXlpbagzs47KklCfPBe4sTS9LaeIHCWc7gl/6/TafurOB9Srp+EyaXIi9y7rv81PyVXBXkzpjkltMgHyCxsdYewLsjIH9uXzxHNDVADTv/JFZ4JY/z4LP1JCg8aThLbcP6YSSn/l1xbl1AcEkk2sSIxlVdHbJ4PldnAeBLvjMRo0X4FWFS5IzNIU8ccOjKsGlzKRNtpIXn1lCtSy3OEsyHyhU3vhJDINhQqfrNipIUggji6z5gloQnG230q/s3BGgVJiVLbqLpSoMXQy2zG20sYYDc8GmX5U1H5zvW1vKpEzJyiVLj88BUX8puJ1rIqUDt6cTIgyf+2adrz3UyGpNssBSyAn2rswpqbD3BYupKvpbVoBdZC8nmLuIMc83esfkynlzCl2dXxm4VdrIcgelqsdTk5fSVlL7VmKsyr7nnieJRljJa1444k0vHuCLxA0VMQnY6mFIDIQGRlYQG4jzedyV52lWE1JuQVj93vnfT21lJEk2/iFNbfb/qfxeaovfSVOyRuOsoz4fRGXKQF1KCKMY/Cb9yHxFe/7Z1ArUf/613+TSF1y/fmbNrB84Hn3/0WNLBH6Ap6uD5POhlva851Xgl0mcLKWuKkmciWaFscSOyl8byjqT8uYo3RJbVgiqtNThlYIqF1QmpNLwmXvq/P9/b4ojZ4OsiaFM6CA1QgoCCTXpBtlrQbY1X2Vq1mRySjiGKle1nLFASkmxrYoYH9LvJnXJccs1d+omj2pAW3GlJqsxC9mXNQsIxv//ZR2QLeMEARjLbDvlyssSTiwqDhzXLuEjKktOtgSZ3AcXZRJoTG/ljkq2TF0oYZNLl8kVrJRhVQIQ479X+X6e+KnW20vhSkoCX7FhNub2F2/l0osa/7+lxb0P3HTTq9wePf2OJPYk3Y4ijBR5vW21qXdsJNqYDrcTAWZVd5c73o7pbGHG3JNSl+ea3Iw/5uydb+GsynqTXHdLmRQ1J56XcmRZ8oFPNtl3KIBWltDJpj/lLD7G3mPJHDvG0OfJk0qwWeTaxHhAKS7I5KWLcsHgEoEbRl9h94qLIosqxHKWijHZBGDjbqo8ABU5swuJyHS4EQphDcZo4tByxaUxP/SWHg895XN0qbJUFXvHuk+UZLLEFho709ymtAFVVmMiEdk+V3bMFsylSJ6yz/W3IbMNZW7B59JVFN93Q4csqpAporilpHAb1WLB15q69ghQSOGqaDTAq158FUFQY/8GePTh0yh9/hYgWo8P2HH12uNAlRPAdk5MRW9ne5tLMa69xwE+bg9WA8xSg5fgHndPYrROWO0JfvNP2tz1WK1SJagrWUuX1AnEeM1JdV/H8wZrTgBdTry+YGD5XIHmJIONGeFlkDk+WTUDl3EFSbkMkUWlXnVwp8wAbRHGkgqLEMq9FooU506lA8Pt14f883d3+Y9/MM3aIHvDMkNxsc2mJsmCSoriLzvuWYt8fkoeNFa6eSpAz/dbKrru8xsmS6LmgDY5ZrK5Kyo7EXlijKyOXUonWcIo5eyKZGQvojl3HcPhsPgobNmyiSuu2P3VaLT8q+2WjydtuZeNyvZx15UdEvKJrTqrDalOkJKmwvTVht+01O0TnvVY501WFSirPy+OHMi5TZiihDtkVi04Epbf/WST3/9Ei17suTtU5Cl5rwgstci2/ajo7qr2Fpyfvawy9Xj9d75al7uJ/RXwPb5cn1dwNV7LUWXzsSm0kxZiob9LZ8VWdoswRmUdQU6PtzT82Nt6/PhbetRtAiZ1ejzX5IU2dzo5NDAyEBlBbJ0Wjw0kFhIrSj1evHY/y8cBJoZsy5F8h4bsd3Ltnv8szZ9bEuNmEMYpJImbhRInljileB4lKVJpTp85+6sXX3LZV2fnNwJZNeR//s//BSuC+Mzi8PIoTr8r8BLqNQi8DNz5DsCV7UCqk6R0RVsX7kqlbjsfsVZ06hTtZmZMo1crBXXFOZF5n2XO6BWvu1oKi2d46qDPf/rgFMcXA9e4J3Spu1XWaykENena0TyZ6+5Se+d5gLIPs1oUNVksJYrvj80wF/lA0kx7y8oQ0km9LcV5ujuvlx4fETdeFjG2iwNlFlmIyZ+VUrG6EuXWXM03bJhJue9pj3NLMmsRy4VuXkab62BRTPITlbu8WkxVTECz5f/nOW9ksn+MyvepzCOcDLwnHSdKW3f75iab5/mTxx+555svefnrS4kC8P3f9134fsAzT36LowcfpeZrAt8U236UgDWc72uXGb/8e9Udb0stXvleIVcuJFXMhDxJy8cKk+fgljJBeSlPHvb5yV+d4akDAdaT49Ik0+ClLVjWnJy3U8MFrMEL6vE84CkYezJI+6uxePWK2fMYe9IudFOd8rS2seVIa5llNJ1scbahS4RIZMbArrBJIkwmWbCIyHLdZTG//TPr/Nh/Ejx1MAtOZAnSYnsPNBZJlCVzUinwjMUTTrqozP4zQpQJMut+lluFbqzbhENlq51jtlhBi5vegjSuBDd3Z6pOShTFzCxcws0vfinD4Qj4mXGAL8zP4Ad1ZqYDFusp9Zpwe7ircXejGhROMkYJ4uprl66tBpTjYLfjuj0LLEUG7iKYFCV7S5m6n2fPtZfSs5Lf+WSDx58JSHWexKmA2xVHlIFlRXdfsNa7uFmroB4fl8EE6Jl4/pchfHx46TjgbbVPs0Jv5YjicW+crChLZhLFDbwUCOMAnoPZCIkQEoElFargSy0sN1wV8r+9uc/P/lePXiLAy6hUkAWfotDkFkkCRWYT4UoJlBRostQ9LuiUtvS9TSWANFk5RLXOKz/PZYyTXZvK7HElrdt5ORVo7aoGMSlIn1Z7FqEGxaksAI70ECo4GASNQzPT9Ut91cf3xlvGlKwsdaK67I27JVBhcypLZv46exxnb1MBetVFycFdcU2kKbKV2ksYGMEHPtXkY19rEqoyBV/43VIBTpp4orrlnv327D3J2BPBpBj/z1jCh7+iEp+0z8bKUxnX4YXjMMHotgB1PqQp1+COuW3hrMhsxzMXhBbPrSI1Fj+xvP3VA/Yc03zgky36MQ7k1Tc6weRJ1uSQCretuDaOnXVeo5IDNOvmkbbK3NXhnPY5cg3u/E1an7lrpxIIhWFupkmz0TjUqAcH0yQ+H+AbNmzh6L7PfGXLJu/DOm78Qq+zhFa6YF2yN5AHU1Si4HLsls2cpZy5TfF7k0xfyJaMqcvvVVwTYTKmNlkgaRDVCkGV0osEH/h8k//0+1MsrnkOvZUa71KeVNnbnpetnCyDrU6tkkyA/TmeU5yfkon+0q+JgDJn9gLcjCd58hl9uTTJg01ZSfoUGxMY4RjbkoHZtYM5oOfEpLKspyXFsmku4V//cAcsfPBzLXoxjgEKR8WW+i4QsQAANlhJREFUrJ6d2xSRdRw5oKfCkmarZJpLFSzF7tXFawrvfmwYEFVslTRR/mx87HYSGzZsmSeVrQ//+Wfu+cqPvPs7L8DgQLMuUNr/wqgVf7cmvR4bj623+WZTVdte5ICugL8AMufLl+J7FWBPglsUcuRCLF45apZPf6HBL7+/zdk17YLKquaWOYu7BMt5xVQTgJZVQE8yd8XnHjvpY8f/iPC+MJvbMSlSpqjH3ZXxPX1spk1lhb1zF0VUDmnLAi1n7zmdngpJVuFNHFk2z6T86x/pstKVfPjzLaglpT+en6DKmuMEiSBBOPckWynTsVVSVDaqcjUmRVxjHfjLc1uZflU5P/nPbCUoBYsUAf1IPa6DxheG8XDsnI4BfGHHd3HssX9xX6DFw63Z0fXJ/9Pel8dJUtT5fiMir6rqqr67Z3ru+2IGGARmuJFDUOGhoOLuPnV3FRTdp/t8gqzP1fWju+KurrqeT1kUURc55KMgDwVhAQEdYDhmgLkv5uzpmb6rKjMj4v0REZmRWdUzo4CD7IvPp7oys7Kq8/jGL7+/O44Qxg6EoJnHYXoI2duTHJwGPYUBfxOg54CdATnNSnFKOQixbN+Ug/kSm3Y6uOkXJezZ7wIBzTlybMVSSRPDvZtlymfpiWwArx13Ai1FsjEmxNYtjwjME21MhHmS8KBZQRMLRMLJhU4eELC4t5LikqguEcJ+4prAciJBBFP3RyraEocSk7o4/vzCcTz2jIfNuzzA4ymw9ffU9U2XJaFJ3DgH4EgF7ESZRxp/YpRIwwoSoYJUmDRcGgkIaPMnlGlxPJIoOi72DYdPfPX79z7y6O2fmhjgAOC1TAIlBM+8sA+TyqPobvMRxwxcUnWRhHLfJnl0xruUCK8s0M0FhQVowFomWQXTBFqpdaNgpkolIxzME9i828Hff6MVDzwZAH4e1CwDcCO9mYn3BjLAnshykmyzTIV2cJWR2vkYFFvS56mMtG6WzElqEzVo7mgWyHbvG+XwEFp5y4fTkoZ1/bK8nYp7S/0kUBSFgEKV6JQQVYmzl9fwmauG8clvVLBltwd4OcRR5Dbo8p5SKZ4RURHnsebdTCv5TF8PZmigsGom2lbJ3GQWEsr2Lk0cjERX6yhOnOehZ9J8SCnwaA7PDQAfZZfDYU747LYYrfMfQiGoIuZMgVw4icMgveDZuZa2j24uvc0+qWJqUxUN7MSEmAU31eDe1u/gU9+q4NZ7iwiJdrcSaimX+qXBp5w6poCmbALu5jy8afBUDrg2Kzmk9LY/lDjkyFhOtBDJ1A6XxpOYMx3KnHVFd6xOwa5KTsBWNjU3h5Ag0KG1WukMHI63nVsFF8Anv17B9n4vVTqJNVMTtGvfur72JsteEJKWY5M6r18D3khxIwhp7loIKB2D64kSCdVZQnJV17vkcbzj3Gk49/VvDDmPcf3nDgPwCFNRk+7Vb339nEVBvPrMmO5Vph/mIYo9cG6BHKaNSfbupY9xmSqkkAlXJznJTYhIXfoJyHlCVwhRSiZzBLbvd/Dxr1Zw+31FhIRmPZXGcmLyDW3FElawVMIDm1lNjiAOJWvxToFONGjwBw5L0YQl0bMu+xwPh2EMKofWdL0zyifRdU8UyFI3vgmvJdAWFarMbURo0yFhiGMJFwKXn1+Fw4Brv1rB9v2ekhgNB637DZqaD1LfA/O0J3qSIWkykdq6k+tIMgBPOrBBt/eUElLEAK+hJKsggoPUerFndOl/9nRPvRoYb7ikDQBfNMuDHLlpREKu/9cbyqf9Zg1lcyaP4dPvGgIBQQSpUqCoCqxPU/5zCqhlWUlAbZkTk2XYnNxSMomymCjJLUCYxO5Bhk98vYLb7y0iTEprWdw78yIJNUnjTRSojdTIZPsn6ynPzkgX65WNqkLm7PXMztrCD4drm1vnXgmEcoFWgAnCsmiKAYSmKarrAoUgXC030BaqQU0TXq4kPFNWFqpCWR0IXHZOFTEHrvlqK/YMalFMNKCpo2OghAV0bXYxhQmTBEotFHXglpDWBUyZbnLeGT4nYkDU4cgxfOJdA5jWTbG5P+CjIdZ/5pt3jnzqqosOD3ADznVb6lc9/NS8E59d33/c6PgAhBxRkpRxECK1jVU7GWTmLifUBEgVtqwS2khVYJsIiZLaRIObMonYIfjuz0u49Z4iwsQ6kqckZpvyWDKaLX2ccu+siztVcFLlcqLyEMhJHFuCT0RpJgS2BeImBvHU4ZNk+OQsKjaggaxlpYGbw+LiNAnYUiDXCqZ+SSEhtAkRUgIccCDwtvOrWL/VxXX/zhA7luZr+pKAWlKcaClu8GFfIEuKmOXErd9k9kMoj5JQceqUSCyaEWDe5A4cu2DKsw9uGrlqYKzc9Bo3BThp+e+48aaf8IvPLMn53YM4dqGDKCrCcyIwGkO5fg1NsbJBE/5tgdlWQEkqk+zPSZ6DE54uMwkwgl89EuDmXxZQT4I4DKhtkJtkBi29kUpvAot7w9heZVPFssFbSZosG/DqPxnKcgTgPhzg8yC2KQv0o54mCmeOtpjsdEkUUCUFETzdZimeZlkIk0NKAaqlueblUtcg8YnAO86v4vEXHPzy0YKaarbJ8JCSGynQM5FqZtn8kNmWeJa0u5SrFwg4bcX3727HigVlrFxxvDxuBuOnnXXxkQMcAC48/zTEUe3mGR2b5k/r3FvyHYJiqQ5AIAwdRJED3anFRC+m0rgpwDO1jJrulwW41H4agjt/E+Dqr1Tw/FYP8EhOetPsy1Ism8eayMZApbxyCRvEefDaDW0nAPSRIjsXg2I7eswPpXQka3WBTLm3SRdLHEBIl0ki0VUtQ6K5uBRUgR/GpW+kOhKqQqQKRQUkKJRJ8JjZIb70kWF8jAG/eKgAMG5iWZEomyb2NTmhJlOe2IC3AU7Tiw9ocOuso5ADhEH4AX63zkNnpXXsrdNfd3OxEEx4iQ95K7au+3EBfOSF6uBt0zfs4nhiA8P0nhDnL6+jp001IpVae07phkge9zAgbvqf89YWkXUGMYC4BD97MMDffb2CtZs97cixwE3twj1pzIlDVOk1n8ikUpXK1oEO101Nho5RPE0UoaEzSZI1SdeJzt6xMnnsfaguHpSWaTPRhVbx0sz3s+9pKTs7i8jqLGdnUFmdLeyqu5mWLrkipZmyGsY7nN/Gsv4GlRsbp841wkF8YO0WF9d+rYI7HyrowB6j3DehIw33Pr/NfkTq37ENhTxGX/s43nDCKPq6BVatb8Gz28q46h3nbe9oLS384LvfUsUEY0IJDgBVugQHhg/iX743CWs2E2zeXcDsSUPobduFN5xg5r9xt4tEOWSUgzCZedBIYUsm/YE9oW2LC1Nmj589pMG9yVOlHmxwJ/QkK8GJltYOLOmNxkydTDIxtXl1o3RO5E+GruS6OjS9nzndJHf69nu6Y7qlmdRWNESkDh6JJGHA5t1CSBBGLElu11jRtATGFm7Mh6nL30h4MEVxVOIxACpBQ4FjZkX4xw8NQwK46+EAOu0GCWcxxcRJkzPnJHfi9g0xT2JjEVMc/pg5If7n5RGmd3vYuHMce0eARcdNhV/owAcPgeFDAtwPptS37qm/v8aX38LH15cWdjtYML2ISe0lVMNYadhOnMxy5nAQj2NkmGBwhGbub3e7gF+UQASdEpUQ9/TECVHZHozg7t/4uPbfKnhui6YlSWC0/Z5/KTAnTh0LxNk0tFxsNCwnjrUt6d1ogzp31Okyya03W2kG6twHlscyszljGrTKnGUmAdHURWpercNlzXcFhSQ8BXni1lcURuqyzIDyzBBjS6dUF7SXqas/klg6O8J1fzMCIYC7HwnUjc1XprVvM5cgMeCXBLrbRCLjCAEGhxlGRhikY0y/SC00jo8d/RTPbKwgrgfwWIiVy2aOlXvJ+1kwqX4oDB8S4DyqiXNWzFs1o9sb/rdvbCmViwRLZpdBeIzh0REEfhUOdFF5J8KmFxnuW13Co8/4eOgpT9VXgXLZnrOyjpOPCbFyWYhpfTFckXLFhN0SQDCCex718bEvV/D8Fjfl3NCzWon4ptw78VjC7kKcc+wAWc4NJKZLG9yZp6bNtXPWErun4++rVB4C31m3vS3F0USy57flY1X0sgF+AngdN06k0Fw9tagkYE5Mh8aRYywnHCSUWDIrwj9/ZARSAr961AfPxjMAQpFYTwJT+2KsWFbHycdEOHdlHY4+eMYkHlrt4ZFnfNz3ZIBNL/qQjKgIV+qg6DtwYoZHVjMMDjroaiPonnfpcAudvmpseEwc6poe8p6IOARhLlavXn3Kc8+tfWD75tXu7CnAjL4R9HYMoVIaQbE4jpjXsXojw2dvqOCRJ4qIKEVoFAt9QTwiUHIEps+IsGxuiMvPreH040O0BDKpcCQo8OtVHv7mC61Yt83RkYF5hTKXY5kEVakAH5+qApqKe6vgqiTjiNgc3ObaaZXcDD8mJMOTM/yZkMw2qvm1yvJGukzt/YjF2y0Obv4vs48lzeRv1iM0bYab3Z5WLLBLbliJKkl2lF3nMftukkpM1QJjHqY0TrzLxhFHqARxKdZtd/Ghf67ggVWecuQQAnCgpSBw+vIQl59Tw9K5EWZMj1ByJDwtEqS2QYQSiJjEb57w8dkbyli9oQVjURHUb0F7wcHsCsfMHoKedoqzzzwxWrJk6VkLFy17pB4KBD6bEMOHlODU8bB71w7MmjVrZ+BFm32xbkFrcQDFIILrxPC9CGNhhC/9qIiv39aK0dCDcAzwLLkkBELJEXKOwQ0Ma9a5uP2+AFe8dRzXvGcMvR0CXBD86lEPH/liGeu3OkoUG6Wj2cv+TEvvvOUkCcm0HDyHivPOVrEiGbNg1mJCGiS7vl0wnXzzEv1w0j0fowKSSuRETsDi3YkJMV9iWRMESRokeH5ZZEyFsKwuVjEhHeln1tVxKgmvGkRJyFhi/swIX7t6GB/+lzLue8wH5xI9HQJXv2cM73/rOAJfgAgJGROI2EEoWRLyoYS9hMslXn9sjBX/MoCv3RbiSz9kOBgFqHMHoyHFvsEYLaUiuifN2dw7afrOrdt2YNbM6Ye8rgyHGddc/b8wsOu3Q57rPN1Wjv4yIOvQ0VpDe9soxqIa/u3mAF+5pQOjvAjpFAAnAKgHMN0KmzpZ4zEFJJGIIoLVLzio1QlmzuB4Yo2Lv/1iGeu3uZAuJgC2JcntpAaqItY8apVgs6SxKdjPLEmdKSpvr+esJdlcSV2g3sqhJEnepBWHbdYpSXg8tT7PmyQbigwRwHRGaBr8RbKT0eyfnZDZbCTY29D4eeP+MrM9ndC5JBczewVBZ4fEiYtjbNjB4AiCj7xrHFddNo6CqzKPBacQwgXnLmLhgnNPvzvg3IXgDEIw+A7B6xbXAcqx5gUHw+MuYuqgVo9x+opl6OlsfevqZzY8M3tmH778r186JH4PKcEBoKd3CuJoFMwp7R7bX30oHIhPp9iHzfskbrirgOvvaMeYKAGer+rfaUtG6mWTilKIUF0JAYAIgEnUxyl+9kCAng6J2+73sWGTAxkYTdwyOdner4wEVy8KI7GbJCzYyqUFqIyymZPSdjRbxmpiS2It5W2JPrGknkB+5yxJqZtMWusp7c3naJowCSNVk30Su7jt6ZQ5bm4sLNBSXHFxmZHgSD3VFm9XBhdVdF8SZaEBARADC+bE+OwHxnDb/T7+21l1BEUBMW4sOwyxUGCOuQMuHPCcFGeUI+IeAq+O/3HZGIqOwA13hVi3p4SgoxNzFy546I1vOHX38EgVrZXi4eB7eIADgOO2YNvWezcGQetX1+w64fRfPng3Hnm6DavWV1BDETTw4FGW2JxNrmosgbqgCIULEQPKK6W8UQiBeTNiXPO+MZywKAJjErv2MOwZYqm0z3OEzLoBOXRkmh0pKFOPpQG0ccOTCV5mGhngNvu8icJp3sznyaz4PUbircyBOaUraYVX+10ASfFJyASHVsxKTvEkOswWSDyZsIDcUIdFFynJgl5fBAlAg9y+XXv2MfzkXh+/etjHvn6Ka947ivlTIvCapjzcQcRdxLGLKHbABdOWG3VWVLdaj2MXgVfHlZfU8LrF+3DPYwTTZy3DzCmFr/7yoYc2vuGMM47o2h4RwAFgz9hS9ATtq9b3h3fc98z4JY8//SJIqYDAYygyggKT8EzBegVlxJKgzoGRGBiXLoTUuXKhxJy+CH//gVFcdn4VgQfMnx5jdz/F137cAm7U62RkbHWwowUJmngrkZfihwCztT/yQCZNwGuD3/qefagkf+hHMggSiW4FNDSaAm0PZibeJLcPZAJ+JdVT6YsGm7hZp6kZ0gAa2Syh5EWM1E1PQTDgP/5vgK/9qIhqleCFLQ7CiOBTVw1j7iSOOFZPijh2UI88hJGLmDMIbsSPAbiAyzii2EHBd3HSgjGccux8OO0L7iCF+auAgSMWHkcM8JOX9GLVmq3b3nPJyR/+5cMvsPU7xy+KoxBtHlByBHxdlNNQAVPoJeQqPSkSBHVQIJKYPSXEp68cxmXnVOELCTFGUHAl/uqiGu79rY+1Wzx1ZDKHNljURA9KjFNHK5KQOZA3X85k7ZBk2mS5L9IdbODnkWz/RobaHAbfGZOgtDzasFz3GcA3k/DG/IdGQDNbIkud6NAYgJUCWNMZkgJbURepAW0kvi359bk6wAtbHHzvzgJqMQWKBDUO3HpvASDAP1w5jJndArWQIOYO6qGHWt1DFDNwTpNzpLr+pOtyeJyCc4pYlBG4M35eLpz3YYht2wmb//IDHABOPGYmHln14PZPvnfpmq5y/0V3/fpFtHkOSl5aAMgUzpdSZVyEsQLHGCeohwIze6r4hysH8bZzqvAEgeAKbIiBSZNi9PVwrN2UE6XJsKW42ifPv/OAzihU9nxpspyxfVufm7SqDJiTffJ0yjrWzMiuJ+EaNtBtEGfoRmrbNnQlLR9hcW/9PxJrid0bx3IOiYSeWNLaPC20pEcTHm4yddRx2rGXyov54l6GPXscSKafsA5FTQC33OsAIPjM+4cxuZVjeNRBteZhrOYjjBg4N4WDpAa4hONyFH2KWj3C1sHZ6GLnPi+e++32Y5YcGTX5gwAOACuXdQPe5OuWPrll9taNo+8YHRpC0Seq4qyxKOh9hVSltxwHGOIcC48ZxAfedBCXnsmByEddIs25FAIdgcC7Lqzh/icDxJKi4VmfoSgpPcnU8U4AKA8B6ImoC8lKbqTLNpgzOAayc9DG8pHQE9vxZ0ttmf3c5ui2ez7l3laWjz7o5oXz1T9L6EnyneZ0BDZNSSZQ9gQJAeI6xQ/uLuBgzVi4tNWLUdQFwU/u9wHHw1+/cRx97RRDowWMjHuatqQAN3Z7xxGo1ylayuW4b/q5cXvvyTUhoiO4oC8R4MRfhO/++M6h6dNm/dWcyRun7KGjpwEyATijDd9AawvBKcureN/F4+hsCVCvBipuxbT3AwFDBIcJzJsWoVQUGBqRVihmo+QGchJb39IkM56kQJ8oajDv2cx7M9U20rDNvrEZSmJz9kNMgMR52wTrGWmuJaaUMgV0Auw0oycpEkRSEBuvZZa3p2781KpC0u/bUjs5lhzYtZKZDyUZHSPYsEMVzlddNLSJmLqA6yCUFLc+3Ir7n6rjigsdzJ1URBxnwUJI6rRS5QE91NH56NyeaZe4BdSlcPH7jt8b4ADw3ne+Gb9d9dT4u//szeH3f3g7hgcHEfgMjOl6fNYBOw5FS5HimJkUI0OTQHgVgVeH50ZwnQjSifRlFJBCYs70GJefXce3b3NzR0fSH9WSVjnvsx3R8mCk1tfyZsCUYyvpTZuA3P5uw/csK07DcaqjbLa5AdT2u83HbR4Oi6YkZlik0jw190GZ7XKOn5S3a0nPtCTPSGz9vQYpDtiZWxLJY0JJXg+4+c4Am7eZeHztXaYewDww5qDkEFRciQ7fwZp1DKLuoKVI4Tq6r48+T0oAx5HwGEd7eysWLH1zNHSwdmB625Fq6y8DwAFg7tzZEEL87tQVJ6x87LHfFFQVWpVJw3XfFkoB36NobVHbDo4EIDqTREI3ANUZPIIKCMnh+xJdbSKtUZ2gI4cyZKU3zYBaZqRpNu+vibnQnj/5z2yM5h4i6SQgOeBPDOgGdGsgUwNikgIXJAtiCSQmvgSMNjfPJybbdnFmcfOMPdzm86RRYuvfSv8v0PCoIUD/EEW9bgXC6YKnlKkKtu2uQGsg0NmiwigODMWIuQPfUyHGQkIHhwGuQ1BpCXDs7OOqk/tm/I4QegQX82UGeGd7BePjY5944xvOkKNDu/52/97NQbHAIAQwXgfCUHXNKvhAwVPKQ8wpwsiBF3G4jCM2XRp0iV9zt0Ue3E20QM3ELfA2ixCUGVpCmyzbkj5v8st0Mk6oSjPK0jhBMpPi0PhWyxrEStoSZBqfWoqlLd0buiHr7UKQNFzZ5t9E1RUhkNm8TZ2wTElOoUyOBam2apRVYiS5On5zrdU9Sr3NLiEoUInAkfAdxV64AOqRQK2uKglRqgwQtTqHkKqjXu+kmbXZC07/Mpf+/y4EhT8Y4H/41ABQLJbE44//7tMzp/d84bjFXeExs0cwq68KhwoIodzkrqMeOZQay4rp3WLKT6SeLCl1Ng4zFyrPaNNlQppbT+zEYvvbifvZgLNB8czz9Gwlq/znGVDnwZ7XUA81ZOYty38tc2BCXYwUzYDXjk9Jr2WmTqFIpW/ezCeQmgjt37GtKAkfNyeWST+TiDnRvarMuetKvibhhKb9VIWQus63QKyltpAC2/ZGWLMlBNzOsNDS+YXf/e6xTxcKBYGXMP5gCW7GtO6x0Pe7Pj8yvCfc/uLoZx55ntPde7rQ2+7A95gqOWGdHJBXZCzOSiRq4wR7BnQASUoysoDPAHqCEg/59WYKpQ3mCb5nQJqXxLZET1Bu39/DQDtjPLEoSsaion/AKIg2fUk8k01CY4UEiOWuFwRJiGzyW9J4RI2COoFjJ2MOzE6c5DgFweQOgUIBGBvLXKWEIpopbPwjXOhyzgCKATB3aojWtn14clObKLV3fcZ1O760acfB8KXi8yVJcABYvPwyPLbuQPXF0Tl3PPniyfKWBwgODnOd/4e045rVBDYtHYHM5aNEYutOBz9/1NcFZvJIU8sW5LPWkwxIZXYd+fWJLSdGMQXJrqeUJdcXM+HxhpFn0d0U6LJx1Th98hxabc5LV0vaS9Pe2wagtSxzoDVgF+k+kNn9kydLxpWvP9PgFmYyhAQXnVLDjKlRlhPpwAL7WITQRTq56qQmpaItbWXg0jNH8bmPzJPvvGTaHQsWDFSveu/bXio8X7oEB4CQzMcY6d0wta/tqnddHHxzy/qnqetQuA7RrVCsdifMKqppVZg1Ccf1mGC/iUdpFoOiAWOSGmyQ6hz/jGcyL7UzzQuApIRv9kUyEwGk+WQAydrNM/tbVGpCC4rt7LEktI1/m6rYy7aymZgSc+574+HMmwrTMnGWqRE5Pp+X4smEJNnPQSEFQWdZwHN0BryOOZJS6raBBFzKpE1JZFqTcIkwFqhFBAeHPbgtF4uZs2dd5ZSmbQAOvBzQfOkSHAD+8i1LsaBnMPzrt6+8fk5f4aML5/SgGEgUAwnfE/AcBXKX8bRfj+nJw1QiK2UxDo4BdzxYABc0TWI1UYUWUuxowGYgNo9F85VDhZ3mJbqpR92oXGb3t4w5OV5yhBzFAnmGU1vozgMbecmd20ckgpM0lby2dBcNUt4GraVkAqlymQ+60vqTkMrRd8kZNbSVVEk1SA4Ijkj39Yk0sA24w1iBu17nGBwOUePd2Lm//aNO6dzrD+xjISGnvHoADgDHLZuP/n37+KWXvHHTBeedMTJ1cgUFjyPwBDxXwHc5PJfDdWK4jnp3WAyHRXDcCNLluPX+Ir51cwsk7AyejKpoSd48aA8T6ww0SOAJa6I0oS0Zzt1UQc3la8rf6/I12sEthREWgG3giwxdIQ1AN5y7mTczq2hm9SIkk8meKFkPppkIqlWKCnq56u2juPT1Y3DjGOARIELEgmOcE9Q4QcgJ6rHqpB1GQK0uMTIWQdIiFixZMfK6FW/YtL9/H+/snfdywfLlAzgAFAoFRNH4zxcvOe6Dp5x6+oH29hIcFiPwOHwvhufF8FwOz1HNWl0ngu+GICzGc5tc3PiLFowLJ5tgbCuaNjCTT3KljnPga2Ynz4A2L9UzwG0SOWh9V91qC/BmH+v7hwU0UlA1lcw2NUGeEzeC11hLRBNAJwFVwkyQLICNdaSBh4Mk4E55OGAaZgpJwTlDgQDvvnAMi+ZW4fIQiOuACFEXEmOcoqbBXY+AeixRq8cIimWcdeZZB5Yff/wHBwdHfu6/BJNgs/GycHAzypUKAGB8bPgHCxavcKSU1+3a8kB3yduHYiFCwY/geyE8N0TBq6HUUsX+wRh3PlTAd3/RglVrChCuybE0CcZpaKwZDdIzt06bbSeHkdgW72iU5iT3bgPdZlDGtJgFdgPQc6ZB45kkFpABWLRBNv/M8GyS5eICJMe902jDtLyycfrYE8B2+mSBbcCdAp5a4QAUXDiQMcGKZRG+dfVBfOcXIe56sIJ9Byl4kWKUeGDQlbMgIYRA7/R2vPnCs/vPPuu0a6Io+sHUqVNeVnC/7AA3o1iqYHxs5Ia5C1fQgG7/p9GBLd3lYgSXCXheiGKhBsZqePQ5gZt+2YL/uLOCobqnOrNmqsPaBWCQLBvJnaEpCaAPnYplJkBiGkTKvbNSnOh5RRq+nyqh1jsa2RSQnQw2vu2zMgkxCciJBXaSApto5ZISSzoLrTBSS8rr4q5p3LjtwcwB2yiXGf6t/7GZhDI9obwkF5IAQtm8IQlIjWLFYo7Fc4dx4pwIN90T4fFNAmG9BcPwAFBUY4FykWD+osX955y58loeRze0t1VeCSi+vBQlC/IyRvb+7PqWsnf17rEpBygN4XkRCn4NrjOOOx8juPLzXfg/d3RjiJSBYhFgOp+TOMgbAhOIN+O/mFiRzOQwJt8jTSV4WuCeNLGtk+Sz5Dj0DLOtMkZep4XxCfIC3ACngaaY7XnqAZJyaw24RuWyGXVJOXjSNDYDztx3YT81kNAUmTtemdGEtTQXFDF3EcY+xsaK8HiAKy4O8e2PD+DilQfg8DFEYYThGBjjAuec2nXAK5au/voPf319a+srA27gFZLgZvTOeie+duNNN1YK80OvIL7l0afLBb+Oe58g+OR3OrBhZxsQBCDM0TdOd9mFNjU1hUIW8kZKm+0N/DxHTexGSM2oSyb7nmQDsJLJYiS7fRwWvbGPMz9s02Cybp2p+WKGsuj22dDueiXFs5RCWPwlpSJpk6qElgjdyi8fPSgJpOnnpyX6xGeRbk6eNlAgVyloKpe9HsVYOLWGz75vCGM1irsfZ+Bc4HUnzhq5YEXr3/S09f/HytOueCUh+MoCHADeflpVxKJyc+BMjlvcA9/f3/9scPN9XdjwYge8ShFFh8Klyow0ElNwKRXQzTO5iUckb4lrUDgn4Nh2F+EsaC2JTkkjuBscPBO8G8+dFcI4gQBPzkXFhyRqtPqakcx6m4D6Q6kdIms5ecx3JLEiC2VDalvSWiczAXLcO6ec2sdqLnrWwSWTA5aSIopc1EIfQlAwKlAPfcztG8Y7zh3D6rUOps1cVps7o/e9z+7oum3oufGX5IY/kvGKA7xn9vsQ7b+OE6frNuZO5S8869x016qDgV8qoqdAUfEEXCpRjQniUYpaxMFlpEvbGZoiM6KuCeyb27lpnp6kPDulLzYXJw2uf8CyqZvfQCO4U0erRWGSg2u8LiZakFgnknfyZLZZvNsAnlAluRl0IXkplYuemnXoZlPp0yZx30vd8kR3f6C2y3+CKWmEiCFNaaMCAYdKCEZQrRUxMlpCPXLgMIFCEIIxiTOXHcTbL5pT2zow+S+m9JXu2LFnL//2P/z1Kw2/Vx7gAOB2XYN6/xc5a41vf3Dd0nfNmXPwey9u21OcXBKoFIHAI6hFQGf3KBZO24en1lM8tb4A4bha5AoYWJus8OSi50FtboSd5WNJ7ww9oRbYqc3L7T6MBrAkWw/FvumJxLdd+MTi5Whw35shGxaslpRIdL2UbwsCSmUiqalUNcCpVjgFlanUFjp6kFoSXDeMtWPHaRM3fRpgZZ+ofc11qDPlcNwIT21kWL2OYvYkCh61oB65KPgxWgoOpIzRO2n6+Pve0v2epcuvvL370zfK6/8I4Ab+SAAHAL/7o/irT94oj/MP3HLq0hlOfyf75uC+Xa0tRaCj4qK9wnDCMaM47+RxPLo2wge+QLB5DwN8YRFRxU9sHSdz/SdSLhtoSNZy0tSMaFlQGitikdz385aWLB/P4zrJ6DmEM8iA3Hg5zaRmJDUPAhadEeqYjZ0bQMKnTVisndFDhc3liZbojQ6m9PpazQpMqWtIeB7H1r0EH/92Bx59ugfnLmdYPsdHR8VFW5mhrczgl6YNjcfdH3jo4a5b6nu/BL/3o38s2B2+stXLOVY/+FMsO/edOG1R25pJPR275sycdIZDasXWlhhzpwKzJscot0QgThX3PuZhZ3+gaoLnyrURAnhUt46mae9Lh1rVrKzqVtka3mltb1PxylSjYmbZkuhmOTEjUpI1M2bWSRbsyEruZp2PSUbEp0M22SfzW2a73pgEiCGddOl+1oQjJO1YnY+Xt6t9JfUQTR1yU7uQJ/ULCRFw/Rgbd1L8+K4ODNTbUaBOUji/XG7H7LnHDhTKUz9ycLTnh8cu2Iuu2R/6Y0LujyfBzbju794NABgcHLyRMeY8tfrxz29d/5/d7aV+FAt1SBFj/TaGfcM+4KhsbGVd0XfApFklv5i1cycx4ZZCaSwnDe0DbUBPZDWhjQoocuDOABtZ0Oa7H5uqVWa7zHFwW2mWUlk8lIKZSmq1nNIQw7kpTNc19RmDpiEqUDvh0Jzo3yRKcgttzxaC6CKyJOFGav6kbWZUAU8FbgDgkYuuMse8GXVsHuQYqTvYdyBCR1sLFi09tX/5ySd9PI7jG8uVtj821AC8gnbww422tja4nvPvJ5284toVK0/tn9ZH0N26H3sPVvFPN3Vg60AHSFBUdy/kAK8DMgIEt+y3KRgyTh/ahHvrh0DSdcEGfoNDh2TA30BVrMmQVpXNTxrVVrVBZiexJjLzaogZEZa7Hc3iSTTn1tdCWLZuYX8miH6pqD4DZPOS1ntiO08PE0Cq0zDKwWgMzw1R9CNQQjE6VkBfR4Cr3zWMvs6DeHEgRJW04owzz+o/6aQV1wpJ//1ogRs4igAHgMAvgFF+/ax5J35s9qLzDnqtZfzkwQBPb+5CT2sBLa6DKV0hzn3dIFqdKhCHgORIypaZH7KlrmnTTW16oZaTnulWAU06gRRv5NckB2xDY2zqQpKyysSeVBYfByzznubLCpCqDrcQMt1mPhfITGopc+sinRDCxFwbcCfAJ0mygRDEmgzEWqcJ2O0qRElTXirguRFqPMKvnqR4cYBivF7Gnv1dWDLNw5+dfQCzphVw+WXnHTz79JM/FnN5fal0+PqBr+T4o1OUhgNwWyBl9Qct3SsPbB1dO2dYtn2hq/SsO7eDw/UJzj6R45IzxvHdn9XwnV84qAofMDcXWemdya63QG7X986DO+XWjfw77+BJMu9plm/bbv5mzh5pRKI20aUZ72lQiqIChuaoamC2oinMilZOEyahY7uF0DZzQ7CF3kmQ9J/D8hcQgMMct0ylOiVNzLAykeAxj/H9u0v49h29eNOpBOcdW4BDGcJI4op3HBeFXvHqi849flOhJbirJfCPNryOPsABgJCC+OmvX/h5W8eV3klLN4z3FFu+sWXDGjKlK6YrFlQwtXMUf/mmg/jJ/TGq4yKNnQASZUkBTyZ0hDUoliQLcgNMmpPcEzp67O1ZcKdcP+sESdzcNI3gAxQPF4amqA2JTTwNC9BZT5SkHNymLLBs4lD8uynIjWaa8U5a156bCSpBjcEqE2GYbcU+XJX4zp0VbN3bhsefofBiB4vnFETfjBWytXvmh/7p6mnfAzaHhLzuaMMKwKsE4ADwltcvxJNPPRdOXtT7g7Jbf2BKJ39bke37rOdsQBxLrFrnoRq7MDeLWxI8bx7Md0dLgU60pQQZm3YKdJL5rQTc5n9Ykpta4G7wkFr2b0NDMoCXKvHWLvNgeG7iOKJaLbTc76nbHqkdHBOAnEBFF1KZuPolV//Jtm0TYmzjVJkOhYr0s5PBDbgBAt9hOHFhiB17BUbHJQSbDK+l7+9b2ubdEospO/p318KevlcHuIFXEcABYPlxiwGgev99P1+/KTrt8ycs/p1XcuufuOWhA+y6H/ZgNG5FQGPEMoLpNmDAmCl4b79YFtwJsGmWWuQ5tkF1HrQZRdaiQAkloqnQhASo1L3ZoRMWpAGRehnA27+vpDUBYyk4k3QzpBzcqpeTgJwgbQlDDdKJnkhU0RlmxXoTpNSL6YoHhrsjOR7V0oQLgJESrv2zMQTFIQyOnsh7JvV+7m0XLvz8bfdu55ddeurRhlDDeFUB3Iyzz7kIm9f+hM9e8uef6u/f7Wwdv/+j7Z1r/ckdIzj5mH48tdXBI2t6QLw0azvtHwk4VPXJSV45cNscO5tR37xlNzI27qwFJuX3FtAtqmIy3CF1JpdUybYx1wDPxXhQoigMpVSbRpHEjAg9EaQGuxHwJhZF0XSiJ4wBtXbFkzRkNiXZBCAChFAQLsBoWtJDWVWUtPddjseeF1i9oYzTl3Rg+hQXX/yfx9bD4JIvtlcmf4q5t+PDV771aMOm6XhVAhwAZi95O3btPYAaCT7x4Xe/mV6wYtHKpx67i154yvDKL9++33ns6W4FZJJKUYcCLlPgdingMLsBa9aRQ3LARkZKm0ez+mP5U7KeTJvvM7OcZvgbpZJz9RsxV4plzFVNECFkQpONsykp2ZbAVR9PklyAbPWr3EgmgTZRSq5LvRETcwKYCrPq+UFhRL5qmkXBmUhNipyCEolnNgF3/XZ23FrsenT+ceeLoH3Wo15MPyHlfhDSdbThMuF41QIcAPp6O8zitft3P4JTll7QvX3PwfUhfbhtcvc4ZH0cAE3A7Tjq5TLAcQgch1hcnDTau2EDObfeMLKFgDJ8P3lSpE8RSlXLcENJKCUIIwLOJeqhQBgJbUVJLRnUPHkS4CrpSu10eyCVwCRdz2xKlNX0uIVp5SJUq0aWsambDgtaWDCVhgYJRLHE4Fgnzj65XbT2Lr11YKTnipt+sXXko1eccLThcUTjVQ1wexTaV4K5GO+i8VfPP7PDLblPLNq48+Alq5/dhBbPgecSeA6B6wAeowrgDKkEz1ET23CWKIXG2yibgdz6hsXDWfL0UBV2HV0HxgBecXKZcNvd+2MMjXLdA17b7fXkc5j+Nyx1NlEhlaJoVbSyTZFJGLgm4smTxlhmkuO3aJmUEBQQlGhdwBhbtbk1YgjcEC4bRbljLiLRd8cxC45fc+Lpk74C1EYIWXa04XDE408G4KWAAMAYgE+tWrsFK4+/ZMa9j63HvJm9l2x9YS3ARxC4DI7D4DoK7KrarbF2qPUEGKIx3sNQlcTDCM1/QRroQCLFjeRmqkSdy6R6dyRcJvSyQEshhudHeOAZB/sHGFoCNSFcRlTzAKbpB4Pm/BKEK1phFMrMsZqXFWxlh+Aaqw0Ay+SnAcwIBFXKL6W6WCoAgCKKJeqhRLFYQfvkZejsmXuH03LsR2Q8so2QI++s8GoZ5KX/xNEZm1/cD9d15q59fvMyEVY/vH3rhjOefPoFHDg4hLayh1LBUTdSS0pHS3WqpRbnMq2Cm0h3kjhgBFcUQhoLAyVgjMJhRBU0chUVch2oui+uTN9dVQTHcwV8j6PgR+jtGMf2/SO45jvt2L2ngr42gYIr4btQTx4GuK7+7cyLwnEoXPNU0hTMtDhUsSea32uQ2+0QpfZems+prhfp6jA7LtSTo1QQKAV1OF4F3b0LsGjhrAdbW52vVDpnPwMebyTu5KN9y/+g8ScjwfNj9tQuANgopdwIYM3DD4vJM2bN+/bzz6+bu2XTc6y9DDCHoP+gKtLn+AQFn8J1gCgmGBvn4FwHZWngqowZBYY4BuJYKrOaDtWj1CY2xoQmQTU1cRwJzxHwdR0Y31fgLgYhKqVxBMNj4HEJB6sERZ9CCJGaC7WJP7UKpSUgVD3vbGyNoUASBFGkwBvF6unDGIED/XRh6nxqdYEoEnBcAoDBdwFAov9gDEoIfN/FvAXL+dTpczfuHcCV0+acshvAekL+ZGUggD9hgJuhb8D6bTsH1nPO39BSDKace9ZJt+7Z9p+VvfvWlZ7eGKOzxUdbmaG1JNHawsEFxxMvSHAOBB6DS1Shft9VIKrWgbGqQDUUuiC7coQI43m0THpMW04cpmmJK+C5XEluL9IAr8P3a2AsAhEhxiKOoZAlyRSww1ap1PZogEmZPEWMXcT8T1fTIKKrco6MA9UaB6VK6jOqdJCCLxG4AhtfjCC4QLmkCqL6FYL2yig27fXR1ztr7II3nTlc8KPLpvT17Zw+k277Uwe2GX/yADdjxpROCC63zZrWvWNwsL5k9vThFQeGln6nRnfEu3Zs7/DZSLm9EmLG5GHEcgC3PdCDtqILz6GglMD3gJZAoliQqIUxntsaA0Ii8JTkp0T1GjJAy5gJmbKeqPZ3UlOTGIEfo+CHKHh1uG6oTRgcMo4wFKna2ak3VcdgxwQOleBUWTts/gyofR0G+K5EwRco+AKyzLF+O1CrA8WAohg48FwGRoFKiaO9MoKfPFyHqJcwqxcoFz2UK90j8xcfd2DGspnO0Kj7vlkzZj3mBqUhQIqXUnD+1TZeO2cCgDICQohoa9t6sNTafU9QrMz/2ndunPMXf3H55044YfnavsmdT82YKmt3r27Bjv1AGHNNQYDABcolgak9Ncycuh9rdtaxbwgYr6s6ekJIHTSVtaRQok2DTElxz+XwXY7AixF4IQK/jlKxiiCoAVTX7KtXUa1FGIwIxiKVrlePCaIYiHVZYSFSj2eqIaYTynMlSgWOno4qFs3eiQ39Newa4Bgd56hHArHWIRjlmNRRw9vPjTFOW2ptHT1PLTt2+dpzLrj0c+ue+eGcttbK/MmTJ93z7Ob9BwkhrylwA68hCW4PQhYCylMyvmPHDjDmfIEx9oXjjp/EisUZ3zj+WDJ/dGzvaSzcx4oBh+sSUBqhGHB0VGoIxTBG6g586qMcCBQ8qYu7Q9OJlJNTA3KmLCguE3CdGJ4bI/BDlItVDI5V8fgmgk07XRy7uIpyWWDdLo69I21wiaOyk5iEywCPq9rZ2WL0aRQioKiRwyQCj6NcrKNUHMeBaitYzUOLz+E6EqVCEUI6oE4BQWUKP+WknofHg87146PjVzEG7nkBXn/xN+XUqdPGj/b9eiXHaxLg9pg2bRqQWgTjffsHr7joPL995fH7//HXv/61N9C/i3e0FZe3FMUJZW8XCv4wSDyMWLYjjCViU8EC2ejBbE8gbSp0BBxHNTH1dZGjF/tr+McflXDHw21YNqeOL141gGWzqvjpb2r4/E3A5oEOFB0C3wF8nkpwaZknTf8aFS9OEssP0zEiQggMj4wiHHMxs7eIGdMnoVxyn2AkfLKteyqbtuDMsLW1/e+WHRse9IP2o31L/qjjNQ/w/OjpagOAgwA+AACrfvswAHIGEJ5f9mde1lbqX9A/vAcdrYOoUICLGuIoghQSlNDEtm7iTozSSYlUHNwR8JiuoutX8eP7XNx6/2T4XhEBrWN83EMY1vH2M4ewde8ArvtBEWNuEaVYInKMOx9WQU6pkiG0qS+MBKq1GEWfqx1oAczpxKUXnADOJ2F+X7BuxpTKraWi/0sp5YNnnP77NU59rY3/cgDPjxNPPg0AHqyNH3gQwEMOrc8Z2bVPtFd+Jk6Y0zlr4ayOjw/s24mONh+1sQGMjg4hjlRfdkpUl96YK2nqOTFcNwZz1PLQGMeqTe0ol0qY1y0xs7OI7TtLKHlVzOyjWD57CK3lKgbDIiJJUI8FnFAicNVkIgSIYgHOI0jBEEUEhc529E2dhEoxxNSZvfDprs+77pYt733bOZS6k2k5cDYBuKe3p+OlXZjXyPgvD3AzgmIHANxj1nfu2gvf99t2vLj70eeec1EueVF358K/jWN5npCA58R4du2TWLd1DEumExSLQGslAoFEHMegJMTqtcCzz/qoFCN0lSTKAcW+AYZK0UEp8LF0ToQFs8bwyFOtiF0J4bkQzIXjCVTKLuZPjzBULeHYZSejWHC1l5X8yqHRv5aC2O2ZshBt7Rc8GMfhYKncfbQv4aty/H+ATzCm9PUCwCCAnwHA4IE9APBCGIleISAICfHchhcwMFYDpQyuw+G79YgHr/+0Sw682SsfiIrtAied1I6+Dg+zeih62h1QArR2CgSt4+jomYGzT6kgqFQwr4e503vKd97w0yc+3dfhuoHvYXJ3DGe0gKVLl6BY8ACACkn2AtgybWrf0b5EfxLjtWHNf5WM59f8FgDp9cmW1s7KgHx2q8SPHihjStnDtC6CjlaGMAK6WiWm9tbQ1TGImx4o44mNBSzpdciJiycNCSH3nnnmaUf7VF4z4/8B1S9E2LKQvIkAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjA6MDU6NTMrMDA6MDA9rz6JAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIwOjA1OjUzKzAwOjAwTPKGNQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 16585854
{'hecke_orbit_code': 4503599660927128, 'n': 1, 'trace_an': 1}
-
id: 16585855
{'hecke_orbit_code': 4503599660927128, 'n': 2, 'trace_an': 0}
-
id: 16585856
{'hecke_orbit_code': 4503599660927128, 'n': 3, 'trace_an': -2}
-
id: 16585857
{'hecke_orbit_code': 4503599660927128, 'n': 4, 'trace_an': 0}
-
id: 16585858
{'hecke_orbit_code': 4503599660927128, 'n': 5, 'trace_an': 0}
-
id: 16585859
{'hecke_orbit_code': 4503599660927128, 'n': 6, 'trace_an': 0}
-
id: 16585860
{'hecke_orbit_code': 4503599660927128, 'n': 7, 'trace_an': -4}
-
id: 16585861
{'hecke_orbit_code': 4503599660927128, 'n': 8, 'trace_an': 0}
-
id: 16585862
{'hecke_orbit_code': 4503599660927128, 'n': 9, 'trace_an': 1}
-
id: 16585863
{'hecke_orbit_code': 4503599660927128, 'n': 10, 'trace_an': 0}
-
id: 16585864
{'hecke_orbit_code': 4503599660927128, 'n': 11, 'trace_an': 1}
-
id: 16585865
{'hecke_orbit_code': 4503599660927128, 'n': 12, 'trace_an': 0}
-
id: 16585866
{'hecke_orbit_code': 4503599660927128, 'n': 13, 'trace_an': 6}
-
id: 16585867
{'hecke_orbit_code': 4503599660927128, 'n': 14, 'trace_an': 0}
-
id: 16585868
{'hecke_orbit_code': 4503599660927128, 'n': 15, 'trace_an': 0}
-
id: 16585869
{'hecke_orbit_code': 4503599660927128, 'n': 16, 'trace_an': 0}
-
id: 16585870
{'hecke_orbit_code': 4503599660927128, 'n': 17, 'trace_an': -2}
-
id: 16585871
{'hecke_orbit_code': 4503599660927128, 'n': 18, 'trace_an': 0}
-
id: 16585872
{'hecke_orbit_code': 4503599660927128, 'n': 19, 'trace_an': 4}
-
id: 16585873
{'hecke_orbit_code': 4503599660927128, 'n': 20, 'trace_an': 0}
-
id: 16585874
{'hecke_orbit_code': 4503599660927128, 'n': 21, 'trace_an': 8}
-
id: 16585875
{'hecke_orbit_code': 4503599660927128, 'n': 22, 'trace_an': 0}
-
id: 16585876
{'hecke_orbit_code': 4503599660927128, 'n': 23, 'trace_an': -6}
-
id: 16585877
{'hecke_orbit_code': 4503599660927128, 'n': 24, 'trace_an': 0}
-
id: 16585878
{'hecke_orbit_code': 4503599660927128, 'n': 25, 'trace_an': 0}
-
id: 16585879
{'hecke_orbit_code': 4503599660927128, 'n': 26, 'trace_an': 0}
-
id: 16585880
{'hecke_orbit_code': 4503599660927128, 'n': 27, 'trace_an': 4}
-
id: 16585881
{'hecke_orbit_code': 4503599660927128, 'n': 28, 'trace_an': 0}
-
id: 16585882
{'hecke_orbit_code': 4503599660927128, 'n': 29, 'trace_an': -2}
-
id: 16585883
{'hecke_orbit_code': 4503599660927128, 'n': 30, 'trace_an': 0}
-
id: 16585884
{'hecke_orbit_code': 4503599660927128, 'n': 31, 'trace_an': 8}
-
id: 16585885
{'hecke_orbit_code': 4503599660927128, 'n': 32, 'trace_an': 0}
-
id: 16585886
{'hecke_orbit_code': 4503599660927128, 'n': 33, 'trace_an': -2}
-
id: 16585887
{'hecke_orbit_code': 4503599660927128, 'n': 34, 'trace_an': 0}
-
id: 16585888
{'hecke_orbit_code': 4503599660927128, 'n': 35, 'trace_an': 0}
-
id: 16585889
{'hecke_orbit_code': 4503599660927128, 'n': 36, 'trace_an': 0}
-
id: 16585890
{'hecke_orbit_code': 4503599660927128, 'n': 37, 'trace_an': 8}
-
id: 16585891
{'hecke_orbit_code': 4503599660927128, 'n': 38, 'trace_an': 0}
-
id: 16585892
{'hecke_orbit_code': 4503599660927128, 'n': 39, 'trace_an': -12}
-
id: 16585893
{'hecke_orbit_code': 4503599660927128, 'n': 40, 'trace_an': 0}
-
id: 16585894
{'hecke_orbit_code': 4503599660927128, 'n': 41, 'trace_an': 6}
-
id: 16585895
{'hecke_orbit_code': 4503599660927128, 'n': 42, 'trace_an': 0}
-
id: 16585896
{'hecke_orbit_code': 4503599660927128, 'n': 43, 'trace_an': -12}
-
id: 16585897
{'hecke_orbit_code': 4503599660927128, 'n': 44, 'trace_an': 0}
-
id: 16585898
{'hecke_orbit_code': 4503599660927128, 'n': 45, 'trace_an': 0}
-
id: 16585899
{'hecke_orbit_code': 4503599660927128, 'n': 46, 'trace_an': 0}
-
id: 16585900
{'hecke_orbit_code': 4503599660927128, 'n': 47, 'trace_an': -10}
-
id: 16585901
{'hecke_orbit_code': 4503599660927128, 'n': 48, 'trace_an': 0}
-
id: 16585902
{'hecke_orbit_code': 4503599660927128, 'n': 49, 'trace_an': 9}
-
id: 16585903
{'hecke_orbit_code': 4503599660927128, 'n': 50, 'trace_an': 0}
-
id: 16585904
{'hecke_orbit_code': 4503599660927128, 'n': 51, 'trace_an': 4}
-
id: 16585905
{'hecke_orbit_code': 4503599660927128, 'n': 52, 'trace_an': 0}
-
id: 16585906
{'hecke_orbit_code': 4503599660927128, 'n': 53, 'trace_an': 0}
-
id: 16585907
{'hecke_orbit_code': 4503599660927128, 'n': 54, 'trace_an': 0}
-
id: 16585908
{'hecke_orbit_code': 4503599660927128, 'n': 55, 'trace_an': 0}
-
id: 16585909
{'hecke_orbit_code': 4503599660927128, 'n': 56, 'trace_an': 0}
-
id: 16585910
{'hecke_orbit_code': 4503599660927128, 'n': 57, 'trace_an': -8}
-
id: 16585911
{'hecke_orbit_code': 4503599660927128, 'n': 58, 'trace_an': 0}
-
id: 16585912
{'hecke_orbit_code': 4503599660927128, 'n': 59, 'trace_an': -4}
-
id: 16585913
{'hecke_orbit_code': 4503599660927128, 'n': 60, 'trace_an': 0}
-
id: 16585914
{'hecke_orbit_code': 4503599660927128, 'n': 61, 'trace_an': -10}
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id: 16585915
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