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mf_newforms • Show schema
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{'Nk2': 15552, 'analytic_conductor': 47.084589681459306, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 36, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 6, 'char_parity': -1, 'char_values': [1728, 6, [703, 325, 1217], [3, 6, 4]], 'cm_discs': [], 'conrey_index': 127, 'dim': 16, 'field_disc': 3685243955059505477304576, 'field_disc_factorization': [[2, 8], [3, 12], [12829, 4]], 'field_poly': [65536, -49152, 28672, -30720, 19456, -9216, 6784, -3648, 1552, -912, 424, -144, 76, -30, 7, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [87616, -75480, 49337, -15291, 3870, -351, 62, -3, 1]], [7, [4430766096, 0, -13013727948, 0, 37316185677, 0, -2633438061, 0, 141530490, 0, -2674161, 0, 37002, 0, -225, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022559887230656, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 5308416, 'hecke_ring_index_factorization': [[2, 16], [3, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0], [1, 1, 36, 6, -1, 6, 0], [1, 1, 4, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1728.3.o.g', 'level': 1728, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '36.3.f.c', 'prim_orbit_index': 6, 'qexp_display': 'q+(1-\\beta _{1}+\\beta _{6})q^{5}+(\\beta _{3}-\\beta _{8}-\\beta _{9}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '2.2.3.c6', 'self_twist_discs': [], 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 15552, 'analytic_conductor': 47.084589681459306, 'char_conductor': 36, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 6, 'char_parity': -1, 'char_values': [1728, 6, [703, 325, 1217], [3, 6, 4]], 'conrey_index': 127, 'cusp_dim': 1080, 'dim': 92, 'eis_dim': 144, 'eis_new_dim': 8, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 962123007680, 'hecke_orbit_dims': [2, 2, 4, 8, 8, 8, 16, 20, 24], 'label': '1728.3.o', 'level': 1728, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 1224, 'mf_new_dim': 100, 'num_forms': 9, 'prim_orbit_index': 6, 'relative_dim': 46, 'sturm_bound': 864, 'trace_bound': 7, 'trace_display': [0, 0, -2, 0], 'traces': [92, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 236, 0, 0, 0, -296, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -98, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -198, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -146, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 290, 0, 0, 0, 0, 0, 0, 0, 284, 0, 0, 0, -1636, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, -46, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 286, 0, 0, 0, 0, 0, 0, 0, 338, 0, 0, 0, -948, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, -866, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 472, 0, 0, 0, 0, 0, 0, 0, -98, 0, 0, 0, -528, 0, 0, 0, 0, 0, 0, 0, -204, 0, 0, 0, 1388, 0, 0, 0, 0, 0, 0, 0, 530, 0, 0, 0, -376, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 628, 0, 0, 0, 0, 0, 0, 0, 492, 0, 0, 0, 242, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 1432, 0, 0, 0, 0, 0, 0, 0, -622, 0, 0, 0, 194, 0, 0, 0, 0, 0, 0, 0, 372, 0, 0, 0, -338, 0, 0, 0, 0, 0, 0, 0, 198, 0, 0, 0, -3356, 0, 0, 0, 0, 0, 0, 0, 238, 0, 0, 0, 1870, 0, 0, 0, 0, 0, 0, 0, -768, 0, 0, 0, 102, 0, 0, 0, 0, 0, 0, 0, -338, 0, 0, 0, -1356, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 914, 0, 0, 0, 0, 0, 0, 0, -388, 0, 0, 0, -628, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 438, 0, 0, 0, -386, 0, 0, 0, 0, 0, 0, 0, 1352, 0, 0, 0, -574, 0, 0, 0, 0, 0, 0, 0, -530, 0, 0, 0, -2988, 0, 0, 0, 0, 0, 0, 0, 722, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 1152, 0, 0, 0, 0, 0, 0, 0, -956, 0, 0, 0, 1544, 0, 0, 0, 0, 0, 0, 0, 622, 0, 0, 0, -146, 0, 0, 0, 0, 0, 0, 0, -1620, 0, 0, 0, 438, 0, 0, 0, 0, 0, 0, 0, -340, 0, 0, 0, 3068, 0, 0, 0, 0, 0, 0, 0, 580, 0, 0, 0, 2592, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 910, 0, 0, 0, 0, 0, 0, 0, -1098, 0, 0, 0, 1832, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 2402, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 1300, 0, 0, 0, 0, 0, 0, 0, -198, 0, 0, 0, 1432, 0, 0, 0, 0, 0, 0, 0, 2254, 0, 0, 0, 338, 0, 0, 0, 0, 0, 0, 0, -1640, 0, 0, 0, -2694, 0, 0, 0, 0, 0, 0, 0, -1392, 0, 0, 0, 5768, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2740, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 290, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -6832, 0, 0, 0, 0, 0, 0, 0, 332, 0, 0, 0, 1442, 0, 0, 0, 0, 0, 0, 0, 1332, 0, 0, 0, -722, 0, 0, 0, 0, 0, 0, 0, -1054, 0, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -3554, 0, 0, 0, 0, 0, 0, 0, -4988, 0, 0, 0, 3508, 0, 0, 0, 0, 0, 0, 0, -580, 0, 0, 0, -2120, 0, 0, 0, 0, 0, 0, 0, 1250, 0, 0, 0, 486, 0, 0, 0, 0, 0, 0, 0, -396, 0, 0, 0, 5520, 0, 0, 0, 0, 0, 0, 0, -1198, 0, 0, 0, -1716, 0, 0, 0, 0, 0, 0, 0, 578, 0, 0, 0, 528, 0, 0, 0, 0, 0, 0, 0, 5480, 0, 0, 0, -670, 0, 0, 0, 0, 0, 0, 0, -674, 0, 0, 0, 12472, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, -1826, 0, 0, 0, 0, 0, 0, 0, 668, 0, 0, 0, 1918, 0, 0, 0, 0, 0, 0, 0, -810, 0, 0, 0, -1240, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 5854, 0, 0, 0, 0, 0, 0, 0, -2968, 0, 0, 0, -664, 0, 0, 0, 0, 0, 0, 0, -768, 0, 0, 0, 2496, 0, 0, 0, 0, 0, 0, 0, -718, 0, 0, 0, -862, 0, 0, 0, 0, 0, 0, 0, 284, 0, 0, 0, -9366, 0, 0, 0, 0, 0, 0, 0, 1010, 0, 0, 0, -7864, 0, 0, 0, 0, 0, 0, 0, 864, 0, 0, 0, 1536, 0, 0, 0, 0, 0, 0, 0, 5968, 0, 0, 0, -2156, 0, 0, 0, 0, 0, 0, 0, 1386, 0, 0, 0, -17004, 0, 0, 0, 0, 0, 0, 0, -2160, 0, 0, 0, 290, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -434, 0, 0, 0, 0, 0, 0, 0, 532, 0, 0, 0, 3560, 0, 0, 0, 0, 0, 0, 0, -436, 0, 0, 0, -13438, 0, 0, 0, 0, 0, 0, 0, 876, 0, 0, 0, -3550, 0, 0, 0, 0, 0, 0, 0, 1004, 0, 0, 0, -4524, 0, 0, 0, 0, 0, 0, 0, -3550, 0, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 45927663
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 1279, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27022559887230656, 'target_is_minimal': False, 'target_label': '1728.3.o.g.1279.5', 'target_level': 1728, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 45927664
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 319, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022559887229504, 'target_is_minimal': False, 'target_label': '576.3.o.g.319.3', 'target_level': 576, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 45927665
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 1279, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27022559887230656, 'target_is_minimal': False, 'target_label': '1728.3.o.g.1279.6', 'target_level': 1728, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 45927666
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 91, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542902456428, 'target_is_minimal': False, 'target_label': '108.3.f.c.91.2', 'target_level': 108, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 45927667
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 91, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007542902456428, 'target_is_minimal': False, 'target_label': '108.3.f.c.91.3', 'target_level': 108, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 45927668
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 511, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27022559887229504, 'target_is_minimal': False, 'target_label': '576.3.o.g.511.6', 'target_level': 576, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 45927669
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 127, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27022559887230656, 'target_is_minimal': False, 'target_label': '1728.3.o.g.127.6', 'target_level': 1728, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 45927670
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 319, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27022559887229504, 'target_is_minimal': False, 'target_label': '576.3.o.g.319.6', 'target_level': 576, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 45927671
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 31, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007542902456356, 'target_is_minimal': True, 'target_label': '36.3.f.c.31.6', 'target_level': 36, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 45927672
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 31, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007542902456356, 'target_is_minimal': True, 'target_label': '36.3.f.c.31.7', 'target_level': 36, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 45927673
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 127, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27022559887230656, 'target_is_minimal': False, 'target_label': '1728.3.o.g.127.5', 'target_level': 1728, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 45927674
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 511, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022559887229504, 'target_is_minimal': False, 'target_label': '576.3.o.g.511.3', 'target_level': 576, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 45927675
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 163, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029003227726148, 'target_is_minimal': False, 'target_label': '324.3.d.i.163.1', 'target_level': 324, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '72.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 45927676
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 7, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007542902456356, 'target_is_minimal': True, 'target_label': '36.3.f.c.7.6', 'target_level': 36, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '72.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 45927677
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 163, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 27021803972985156, 'target_is_minimal': False, 'target_label': '324.3.d.g.163.8', 'target_level': 324, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '72.13', 'twisting_conrey_index': 13, 'weight': 3}
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id: 45927678
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 7, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007542902456356, 'target_is_minimal': True, 'target_label': '36.3.f.c.7.7', 'target_level': 36, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '72.29', 'twisting_conrey_index': 29, 'weight': 3}
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id: 45927679
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 19, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007542902456428, 'target_is_minimal': False, 'target_label': '108.3.f.c.19.3', 'target_level': 108, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '72.43', 'twisting_conrey_index': 43, 'weight': 3}
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id: 45927680
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 163, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029003227726148, 'target_is_minimal': False, 'target_label': '324.3.d.i.163.2', 'target_level': 324, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '72.59', 'twisting_conrey_index': 59, 'weight': 3}
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id: 45927681
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 19, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542902456428, 'target_is_minimal': False, 'target_label': '108.3.f.c.19.2', 'target_level': 108, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '72.61', 'twisting_conrey_index': 61, 'weight': 3}
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id: 45927682
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1279, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27022559887230656, 'source_is_minimal': False, 'source_label': '1728.3.o.g.1279.5', 'source_level': 1728, 'target_conrey_index': 163, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 27021803972985156, 'target_is_minimal': False, 'target_label': '324.3.d.g.163.7', 'target_level': 324, 'twist_class_label': '36.3.f.c.7.6', 'twist_class_level': 36, 'twisting_char_label': '72.67', 'twisting_conrey_index': 67, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 2163175
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 27022559887230656, 'p': 2}
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id: 2163176
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 27022559887230656, 'p': 3}
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id: 2163177
{'charpoly_factorization': [[[87616, -75480, 49337, -15291, 3870, -351, 62, -3, 1], 2]], 'hecke_orbit_code': 27022559887230656, 'p': 5}
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id: 2163178
{'charpoly_factorization': [[[4430766096, 0, -13013727948, 0, 37316185677, 0, -2633438061, 0, 141530490, 0, -2674161, 0, 37002, 0, -225, 0, 1], 1]], 'hecke_orbit_code': 27022559887230656, 'p': 7}
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id: 2163179
{'charpoly_factorization': [[[134421415700625, 0, -16190777655900, 0, 1406640514626, 0, -55168507728, 0, 1565917515, 0, -18020880, 0, 150258, 0, -444, 0, 1], 1]], 'hecke_orbit_code': 27022559887230656, 'p': 11}
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id: 2163180
{'charpoly_factorization': [[[12100, 11110, 24391, -18089, 14428, -2765, 400, -23, 1], 2]], 'hecke_orbit_code': 27022559887230656, 'p': 13}
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id: 2163181
{'charpoly_factorization': [[[2200, 3948, -578, 3, 1], 4]], 'hecke_orbit_code': 27022559887230656, 'p': 17}
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id: 2163182
{'charpoly_factorization': [[[7464960000, 0, 105255936, 0, 542592, 0, 1215, 0, 1], 2]], 'hecke_orbit_code': 27022559887230656, 'p': 19}
-
id: 2163183
{'charpoly_factorization': [[[146917421198071056, 0, -13795484872526604, 0, 1077447396459645, 0, -19280357455509, 0, 267314609322, 0, -806502393, 0, 1818426, 0, -1545, 0, 1], 1]], 'hecke_orbit_code': 27022559887230656, 'p': 23}
-
id: 2163184
{'charpoly_factorization': [[[3658072324, -800358306, 145415627, -9037647, 579456, -16155, 932, -21, 1], 2]], 'hecke_orbit_code': 27022559887230656, 'p': 29}
-
id: 2163185
{'charpoly_factorization': [[[8678645562452902560000, 0, -83895573880809356400, 0, 551526813501122241, 0, -1954471242831741, 0, 4987764889758, 0, -6479786241, 0, 6053358, 0, -2973, 0, 1], 1]], 'hecke_orbit_code': 27022559887230656, 'p': 31}
-
id: 2163186
{'charpoly_factorization': [[[5920, 8552, -2436, 14, 1], 4]], 'hecke_orbit_code': 27022559887230656, 'p': 37}
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id: 2163187
{'charpoly_factorization': [[[12391919761, -2152686822, 433625228, 1014372, 988173, 16164, 2300, 42, 1], 2]], 'hecke_orbit_code': 27022559887230656, 'p': 41}
-
id: 2163188
{'charpoly_factorization': [[[1433584698066203082165441, 0, -5990461271885690120196, 0, 16288594506171759690, 0, -25760183131532016, 0, 29615241389427, 0, -22854986352, 0, 12947466, 0, -4500, 0, 1], 1]], 'hecke_orbit_code': 27022559887230656, 'p': 43}
-
id: 2163189
{'charpoly_factorization': [[[1781512597725720336, 0, -558002049541360812, 0, 169634851855444557, 0, -1597896483115581, 0, 12876943864410, 0, -17226310689, 0, 18134634, 0, -4689, 0, 1], 1]], 'hecke_orbit_code': 27022559887230656, 'p': 47}
-
id: 2163190
{'charpoly_factorization': [[[-16160, -25128, -1220, 18, 1], 4]], 'hecke_orbit_code': 27022559887230656, 'p': 53}
-
id: 2163191
{'charpoly_factorization': [[[231859610542655841200625, 0, -3356960707036282391100, 0, 40949992269719005266, 0, -101415103995407760, 0, 184138805431899, 0, -141123599568, 0, 79285026, 0, -9756, 0, 1], 1]], 'hecke_orbit_code': 27022559887230656, 'p': 59}
-
id: 2163192
{'charpoly_factorization': [[[933144135518464, 2874297260944, 345272096953, 2365663, 92338342, -965, 11302, -17, 1], 2]], 'hecke_orbit_code': 27022559887230656, 'p': 61}
-
id: 2163193
{'charpoly_factorization': [[[1504054482773584817181681, 0, -26044038274405025786508, 0, 416922896457872547858, 0, -563251521790602000, 0, 541162807742043, 0, -256405650768, 0, 88097250, 0, -10764, 0, 1], 1]], 'hecke_orbit_code': 27022559887230656, 'p': 67}
-
id: 2163194
{'charpoly_factorization': [[[1216592076902400, 0, 944114455296, 0, 253495872, 0, 27360, 0, 1], 2]], 'hecke_orbit_code': 27022559887230656, 'p': 71}
-
id: 2163195
{'charpoly_factorization': [[[20112040, -157124, -13542, -29, 1], 4]], 'hecke_orbit_code': 27022559887230656, 'p': 73}
-
id: 2163196
{'charpoly_factorization': [[[109914180724892888100000000, 0, -1308655294237278791190000, 0, 14323351612721951602881, 0, -14412844507324559229, 0, 11037946834220382, 0, -2963105859393, 0, 597258030, 0, -26781, 0, 1], 1]], 'hecke_orbit_code': 27022559887230656, 'p': 79}
-
id: 2163197
{'charpoly_factorization': [[[36219204719163629525414980878336, 0, -17380293454882556670710062080, 0, 5320000982362810394366433, 0, -1000108850402436060789, 0, 138053250228021390, 0, -12951187261641, 0, 890721246, 0, -37317, 0, 1], 1]], 'hecke_orbit_code': 27022559887230656, 'p': 83}
-
id: 2163198
{'charpoly_factorization': [[[-4957424, 341232, -3968, -96, 1], 4]], 'hecke_orbit_code': 27022559887230656, 'p': 89}
-
id: 2163199
{'charpoly_factorization': [[[4182855625, -705345550, 267175936, 15424652, 5995633, -147796, 7768, 74, 1], 2]], 'hecke_orbit_code': 27022559887230656, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 15, 'hecke_orbit': 7, 'label': '1728.3.o.g', 'level': 1728, 'portrait': 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1OGdZMJS52AzkAwjD2W+4KNk4bFtuHURUXN89k4A1vnQjbMDlk/O2Lj7IitGyzbNyqu3OZRV02On5rga0/7PHoo5smTEYnq8uaXtXn7Syx1Ncuhk1McP6c5eynhQgruIwuWm6+e59+9Z5lt6yY5d2mKS8s1FtseS23JSjeh00voDQWHTixw6HT7yicOz7/82JmLO0+cvfSFW1/7zvDe2z/2fEPim7r9jWbwpeU2w9CiFe+797FjL/nJX/0z+a5bD7/kX77jjJ5f2cBSe4LFlQaLbZ/FtmaxDUvthKV2xOJKwoUVOLoomFu3ws989yIv3Nvg9MUZzl1qcm5Bc3HRcmEh5sx8wqVuzNTMkJde2+NF+8CXdQIVcHGpxvkFzYUlQX8EcWyo+YZmLWF6MsYAJy/EdHqwY4NHsz7CWgHCpzcwbN84YnFFg3VSZKUHoxgslqV2yJb1Ht2BQiiLMCMmah7bNw1Z6QtOntMkRjM7IWnVBIEHcSzojyQXliTnFy0Xl2OCYAhezK1X9XjJ1YK5iTqLyxOcvhhwbgEuLsRcXIo5uwRHFy03XbXAz373MhunJjh1YYYLi3Xml30W2pKllYTlTsRyJ2Gpa1joSs50YHmpyy//y1H8na9t3OfPvdf4zX33SZH8ZGICgtrE8w2V57z9jWXw3/+Dj/PiF93Aj/7rf/3zH/74l//lBz78pcsOnFrZeeRcT770mi67NxmSRGOtwlrH3lgJSEAghEULiy/h3GKdB49Irt2zxL5tQxo18LTE9xS+r2nWJQ1P0u95HDxR485HfU5eGtGJIw6eHrFhdom3vHSZay/rctO+NicWYhb6gkYw5Ng5S7vT5JrdkpVhwv4TilZD88xJuHyzZRgmDBMfrSOmW3DgdIDSCZ6M0R4MRpIX7usz6EuuvSyhM0g4ea7Fro2KZiNkZWRZP9Vnudfho1+Gx48nPHl8yI7Ni1x3RYfpmZA33drlW19h2bOxRRJNcfzsJEfPeJy+YDhzKeLMpYSjlwSnViJesHeen/nuLhumpjh9YYaLiw3mV3wW25LldkK7G7HSS1juWZZ6got9xVIn5uZ9C/zwW+dlXdud8xdP7hoOolv8xp56vTn9xUfu/3N+87f/6PmGzJq3v5EM/scf/TOu3LtFfe3hI//++KkLP/XwkyfUhaWQhaHifN9y7Y6L/PIPzXP9ngYXF6dZbDdYatdYanssdTTLXVhuJyx3Ypa6MQttOL0s0PUhL756iW97Rciu9U1WehNcWqozv+Sz0BYstZ1EWO4aOgNDZ2TpD2NmJyK2bzCAIPAsZy55CBmwY71i12bL5vV9Li6PeOJwixsvtzTqyzx9ZIZWMyQMPWanDYMhXLl9yIe/PMUV22JGI8u6SUmUDGjVAp45MaTuNbl+b8yTx0IuLvpsmQ3YtQm2bwxRKuLMAvieRQjLjg0x0y1JdxDQ63t0+h5LHcXSCiy2DUvthIV2woU2LA4Ttm/p8W23LfDifZqaN8H5hQkWlmssrGiWOoLltmGlG7HcTVjpWRZ7cKGruLgS88IrLvD+H1rk8i1NFtsTLHcCusNJVHB54tc3/rzxdv+siM8lL3vl33++obPq9jcK4AcPHqJWr9XPnjmz/bEnnn73iZPn/uPBI2cYhpLuEJYHgkt9xbluzE27L/BLP7TEdbvrXFqeZnGlwXKnxlLHY7mjWe5Au2tY6cYsd2OWOpaLbcG5ngXR4+0va/OmFxp2b6oRhg2W2zVWej7trmK5J+j2BcORJYwtSQJKWgIP6oFlasKyfiZCe0OOng956kiAiZu84ZYQ7a3wyP5Jdm6Czz0Y87JrAi61B9S0Ik4iZqYhjjy0F7O42OClN3T43P0tdm2Chw+P8Gjw+hcaYjHgqaMJx8/U0NJnw7RmuimoBwLfFygBsYEwsgxD6PYtKz1Dt29Y6RsWe5ZBkrBja583vajN218SgmmxuDLJpaW609sdzXIbVroJ7V7MSgrupT6c7yjmOwk37b3I+3/oElftqLOwPMVyt0G7F9Dpeax0BEFjK/XWhn+7aeu+P9mydcup4XA4uPzyK55vKOW3vzEAP3XiMHNz6/zDR45+78FDR37toYcfF0vLPTkcGXpDQ29o6QxgZSC5NJCc70a88LJL/OJ7F7nhshoLK1MsrjRZ7gSsdH2Wu5qVrqDdtbR7CSvdmHbPsNyzXOoKzrcN01N9XntTl1v3xezYoJioe3S6NQJPAoowlhgjMBb6Q0AYpltDDp+1GBtyx8NNRv06l23xefG1fSKzwt2PTnH95R6HL/RoL0/womv7fPGRgA0zlv0nLf/X2zrsPxGwYUZy56OKF1+pWOp3OHZ6huv3htz91IB41ODWq3z2bBsyiHvc/oiCRHD0jGaiodEC+gOJsYLEWKIYkAbtG9o9S7MVsW3TiJdc2ee1N8bMNmtcXJpkcaXOcsftm+WOoN2Ddjem3Ytp9xLafctSX3KhK1joxtxyxTw//955rttVY35lkpVug04voNP36fY13b6kOxDEpmZ2X3aN3blrzw/v3nXZ7y0szof79v3NAPnfCIBHUSzD0eAtD33tc5cNBvH7H3zoEW8wgmFoGQwT+sMkB3l3IGgPBJcGknPtmFuvvMT73jvPjXt8VjqTzC+3aPdqrHR9VnqadlfR7kO3Z+n0Y+cODAztvmW+J5jvQZSMuO7yARtnEnp9yxtfNGLnRkOcSLS0hBHc9USNU5dqbJqOefpoDUyDfVsVN1xhCGp9HjncZ36hydU7m0xMLXP/kx43X15jsb/C8vIEGzdaHtyv+Aev6vHQfs3W9R4LvTbLSzPccGWf+59OmKlPcfVlPS612zz47BR13eSmKyx7tw9B9njiuGD9TMTF+Yi7n/AYRgopITGWnZtCXvuikG5PsXnacMPlEIYNltoNltoBKz2PTl/R7kk6Pej0nVPS7Sd0+oaVvmVpIDnbEbQHI168d56f/f5lbrrcnRztbp1OP6Db9+gONN2+ojeU9AaCbj+h24+54YabIoT6sXe+4+8daTTqn/Y8zzzf2HreM5mjYZ847H/3qeOP/PKl84dn5ueXaNZdmloIC9Zi8992FqAQFiktUmoeOrSBn/yg5m0vXuLbX7XEri0hFxYnCPw69cCnEXg065puXdIaeEw2tTthBgkbRobByNIdBizN1zhz2hLGhrMXYoLAAgJfWbQU9AcKgUfc17xgp2DPZsv2LX1GSZfPP6Q4cGSa190YcMOVy3zo8xZfNNi5pc+T9yu2TCnWTfSpqTph5HGpC82aZusGweMHQm7YW+cV1y/w+58Z4HstXnOLxQv6fOnBkM890OTZ43V2b26wc1PC3HTIrnUR1+xMUMqglQUsjSBgbiogjDy6fZ+nD3uuRGGQARF6Q0uv7757d5DQG1g6A8vKAOb7iovLlsZkmx95wzx//8Ujrtvd5PzCBO1ejW4ObkUv/Zv9oWAwsowiiBO4596HvKnp2V+eW//Q0m0ve+H/3e31f7/VbDyv+HpeAR6HfRB8//mT973v+IGvzISDLrXAx1rnhFiE+4giQQBCgBSuk0ZJi5IJvpQ8eXiOxw41OXzuEm97SY+XXDVkqjXBUrtBs1NjYuDT62t3cIaSwVDTH2mGI8swNISRJYosceK2MPaxBqQSeFpQ8wVTLcF0CzauM2zd0GfddJsvPAL3POYhzSSvu9HjBfu63PtsRDic4MUvELQHAy4tNrl1r2HdVJ+6DhjGivlOhDKCF+zVNFojHj1Y4+U3TPKi67o8elCBneTGq3y+781LfPHxkDsfarL/VI3tc4qNM3WmWw0mW1APwNMWJcFY2H9ckCSCKBaEMYwi3HccJQxGhuHI0B8a+iNDbwCdEcz3JJe6MDJDXn39Em95SZvvfI0hjie4sNCk06vRHfj0Bh69gaI7UPSHIgf3YGgYjhJGoWEQGuaPn+Pcn3x+pttP/t+3vvnlut3tf3Cy9fyB/HkDeBQuImT8fQtn7nrfpVNfXK/oM9EMGIxMDmaERCAQQiGEQEpScINSFq0snjLUPcFCv85HvryVLz3W4WXXrPCeV69wza4es1MNFlcadAcB/YGXAlu5LRSMIkkUC+LYXepterlQ0qI11Hxo1A0zrYgt6/vE9Dh8NuKjd9c4drrJVFDn5qs0t17b4cFDbe742gS3XF5j+6Y+H/6yQImAiVbESm+EsaAEzE306XR9TFznLS+7xEc+12DPxRpvuqVPGC1y91OzREmNF161njfd3OHybW2+9GifJ083eOK4z9YZycyEoBEIfM+dhFKAEBZjwRhLFKcna2QZRe5EHoYwCKE7FCyPBEtdEHrI9Ves8J7XrvCyqxJmJ+osdxq0u3W6/YDe0KM3KK4E/ZFkMIR+euIMhwmD0DAcWUYhREZx+kKb3/3Inet7I/u+b/17L7XnLi79zuYNM/97ANwsvI+LK3voXfzk90Rh//3t+afXSduhWasjRJzytk4BDkJIhBAIIVFSI2WCUiK9PBs8ZQm0pa4Fy0PFYnuaj93V5IGne7z4uhXe85oVrt/TZjapE8cB/WGN3sBjMNKEkSKKJXEiSYzAWOGyoMIS+IZGLSbwQ3xvxNnFEZ95WHLkjM/xM9MoE7Bnk8+VuxQ37uuggnmeOtpiy1SDq3fDxrllljoTXLNFEhvLFx4KGPUlU82Y179wyKfvjjh1ocUVl3mcXxnyzDGPbRumuW7XPPc+2eX+ZwSj0Gffrhn2bQvYt7XL0fNLHDkLDx1ocPhYk4YWBFrSDCw1D6R0QZW17mSNEwhjCBNBbyToDAWdCEITY+yQmy7v8J7XdnjZNQmbZgKGw0kW2zW6vYDe0Kc/0PSGiv5QMRgJBkPJYOT6RoejxHn8IwfuQWgYhs7RiRLF/Pk2v/mRr6x/4uj8+ycmGvEv/NZnP/TIgXN89Je+7+8uwP/VL/wWYvaD6PY7vlNFx3510Dk3pfFo1GoIEeUSRAhS1saxtRQoJdBKpfcGrRI8LfC1wfcsgWdp+AlTNUF35LHcmebj90zw5SeGbJju8+7b2uzbNmQ46HH1Lsu2jYpR5JEkRZpfYJHS4OmEkxctxy8IVgaGT93b4OzCNDb0mK4pNs9qdmzU7N4CV+/pYOQCH/h0k6WlSW7Zp7l6T5svPSEQscf6aUmzEdOPfKSVYCVK+7SHgotLgqtsg9tu7HLfo3U2r/O55eoZ/tGbF/i9z3V56GCT3tBjcaXFrs11rtjU54V7u7zj5V3OLS3xqXsDFvsBJ897nD3r4ymBlO6qZ6wlMRAZSxIbpmcjrr2qz2gUsW/biHfeNmL9pGKmFRBFNc7P1+gPfPojd5Ub5MCWDtwjwXCEuxKMEoahYRQmTgJFNgU5DCJBPxQMrebcuQ7P/Nn9667evf5Xb7lhY/TRX9r6R5eO/xLrd/2rv3sA/6Gf+yPWX/cO8V0/Jt61ufX0b3/7y59uXLPLpyMaTooI0s0WWls6qSClREmJVgKt0nst8HSCrwW+Z6h5lnpkaYSWyVrCdF3QDyXdsMnxM01+8Y9mwMSIOObGa/vs2hgSx2CswVqXxJFCIJVAez4HT/nsP1KjWdO0fMm6hmBuVrJ+RrN5TrFjU8IVO1ZIxCL/9RMTnDw1xS17PfbtTBjEXb72VMBU3WN20jLVCmnUnRQyRtIeKpZ6lsV2QrtX56VXr/Dw/j4HTimmJmq88Kop3vuWRf77J+HRI016A8tKV3NxaYKN6xqsnx6yY3bIv35Xn4lGmyePw8HTEs+zKGURwgDW/WchjmHnxoQXXxOTRB5RHGBtg2HocWHBZzByV7RhqHL5NggFw5FgGDrWHoUuKzsaGUahYRiZ9DWbM/cgEvQjQS8UrESCbmxIekPC7mNTb71pw2//6qX5WM9+28e6Z33b2vJP/+4A/Cff/xGu3Dqj7r7/o28/fGL+Q3/44KXakwcm+cV/3OaK7e6gSGEQwiBFgJQWJT2UsiipUEqlelviaac5fU8x8iSj0BCECaPIUo8Mo8gQhpaJGEaRYRRDGAuGkWSUBERJjQNHmjxxABJrcdB22tiT4CtX89EK4OpNMFGHyaZkuqWYndKsn4HtG0dsmlshskv8109McvTYJDfsVuzeKtmzdZmvPBNzcXGSG3dJpicMNX9AIAOsEsSJRFhLnIQs92pcXPS4YV+dF+ztcu+jNTZMCxq1FjfsNfzI2xf51U8anjnbYqVnWOkq5pc166aaTE/UmZ6YZKIRMdeM2HFDSODFeDpGqQQpXDBhcSdVFCkuzWuiWBHFijBSjKL0PpSMIskolAxDySgULkANBaPQMgrdfh2FCWGYavrIvT4MYRgJhhH0I0EnFKxEkl4YY4YDXrBrmff940u89ppzjX5HfSjq/oUZJld+4sKR30k2XvbXL1f+2gH+o7/wUfxaTT146MI7T5y48PsP7z9ToznJ5x90YP3Z965w5bYuSiZIZRy4lYdSxt1Li6csnlZ42uKFEt8T7iB4gpGvCCMH9CiyhHHiXJG4tCUQJ5YkMSQGp7cNObgzKaQleB4EWlALBI1A0mwoJhuS6UnB+pmYHRv7tJorfOK+kLufmmFlYYJrtyt2bPK4fNuQRKzwhYcaND3N3LSi1Rjy1FF49pjmmm2W/khx3eUR1+6xXDifML/sMxg2eMPNXb765IDDZxXNuiTwJ7hmt+Fnv2eRu54Z8Om71rHYsexYn7Dc1kxNKCabHq2GR7NuqQWGwDcEOkErJ7Vk2lppLS5hZQSxkcSJII4FUSwJY0EUSUaRc17CSBBGljCEUZQQRoawRByjqLw5cA8ycEeSdgT9UYSMetywc5mf/oEl3nizpTOYoNc/XsNr/YFX9/6h50/96fyx307mdr/3bzfAWzqRw+7Ktx87fvY3nnjmZG2qpunEilBM8Bf3S8KR4p2v7PCuV/eYnkjoSoOWSaqznR72tMaLNIFWDD3HNCNPEvqCMBLu4ESKKIYwks5BiAvbL04MSeLchcSmTknqlmTujJJO9vhaEPiSWiBp1gUTDctUy7BhZsTcdJfYrvCxr0p+73OzrK/VuHa7YPsmj52bDTs2LfOJr1mWlmrs26iYnoBWI+LiCcml5QB/F4wiwdykZGoKDh+3LHcMFxZqXL6zxqtu7PKZe2rMtiDwfZSc4po9gh940yU8eYm/uHeaZ8/W2NCJWD8VM9lUtOqKRl1SDzSBD4EHWjuHSQqQogRy3ImdGEgSQZyQAh2ixBLGEEWJI4XIEGb3kUltx8yVSS3IWDCIBL1I0Ikl3cgQDkMmgw7f9oZF3nVbj9fcAJ1ek0EYEMUB0eBITUfqt1XN1wj/j3E887cT4L/+O58kScz33P3As790/OjpiZmGYhRblBC0hcdITPCFhzRfe6bG+eVF/q939JmeiBkFNTr9Glr5eNrD0x5+mBB6Gj900iSMXCrdMY5wTJSyUhxDlECSOCfBGBdwGWOzHs4U3A7gLnAVeNoBpBZAo2Zo1WOmWjFzUwPWTa9w34GQP7ijzsHjU+yc9NizEbZu9Nm6Aa7Y3qEfd3hw/wR15TE3rZhqwVRrxPRkjO9rhHAn12Dks9SJWOlb2r2YS8s+2ze2eNG+S9zxUJ+DZydoBBGe8hFikj1bFN/1mgVuuuISf3BHiwefnmKxp1k/ETPViGnUJPWaIvAEgSfxPBerKEVqHzqUW1wPqzHkQI8Tk17dUmsxNsSJA3ccQRjbYoucKzOMHan0I0EnFnRjGA5jTDxgtt7hh791iX/1HT0agU+722A0ChhFPmGkiWJNu3dmImh6/7U5c51/7NlP/N7uq97+tw/gyyttlFLf/xsf/Pj7zp45M9uqCSJj0RJUDEoIOkIzkA1WRppf+hOP/UeXecvLe9x2fZcN60K6nTqDUYDvxQS+xyjUBL6z9zKAR5EkjN1lN4pTTzshtf5ImVtiLAW4XZIyZW7QyiVMfM9S8w31WkyrFjM9MWLTug4X231+7VMeX3h4hqXlJpfNCbavF2xZ77N1vWDX5iHaX+Ejd2uOnW6yd4NkuiWZbCZIOeLsvCXQEinAWkEYaXas7/AQCZ2+YrljubhUZ+/WGu+4rc2ffsnnxMUAT0cI4WFskyiW3LhrmR3f0eELj/b58BdmeOREky3TgnXNhGYtoeYLAk/ge07+aYULnKXIazIs7iQzFue0JA7wGcjjxEk6B3YIE1frEmbJo1gwiKEbS7oxDEJD0h+xdV2XV9ywzFtf3ueNNxu0aLC8UmMUueyq27JjJ+n0L8xa7/L373vBO9Rg0Plgvf7XU1P+1wLw5eU2vvb+0efuuPt9Tz79zPq679LdYWJRgjSIFHhS0JOSrqzRDjUf+UqNu57scsO+Dt/xmj5vuqXN7FTAYBgwGPkEnkcYeykTOJDHsSJKJHEsiRJBHEuSRJAYUWhtI8hVic0yoi5ZpNJkke8ZAj+hHsS06iPWTfUYRAO+9JTlo1+Z5MGnp5j2Pa7ZYtk0I9kw67N5TrJ1Q8juLcs8eWLAp746x6TSzE0KJpqCiUZEu5/wua/VaPnOHTIWBiPNW1484rMPuJqYds9waVmzdX2Lt72kx4MHuuw/7NMMYpQUDuSmwTB0Wv+7XtVm76ZLfOSuDvc/O8Wp5TobJwSTNUvDN9S0wfdAK4GSpAmyNHmWQt2kUs2Y4goXp0B3BAFRIoiSFNiJYBgL+rGgl+BinjCkWe/zttct8e2v6XDj3oQN0x6DYZNOzyeMfMLIYxR5RBkpRYowdoHt4MTB9V7t/vft2fcy0+91frfR/KsH+V8pwBeXVghHfZQS3/2Vu7/6nz73hS/NtldWqPnS1Y7Ezv5TErRwmychkNCVHn1PcaYTcO6BBg881eNPr+3yzlcNeP2Lh8xM+YSjgFHs2CCKNVEK9DhRxEmasEkKgBubMrcpasoyG1JJV8ehtcH3EgI/oh6EtOoDEgZ88VHJH315iqePTyKigJ3Tlk1TlnVTirkZn43rJJvnIrZv7HB6vstvfrpJPKqzdatgqqWZaMJEI0J4IZ1Bk6mWRQiBtRDFkplAEZuYbuTT7ScsdxRn5+tctbvFD/69Fd7/xwEn55toFaUnhiaOawxDycbZgBsv63Dt7h7PnDzLR79S545HpjjXrtMMFC0fmp7F1xZPgZZunwtRra4zgDXupEuMILEQJ8L554kgTFySaJAIBgkMYkscx5hoxGxtwBtevcK7X93lZddETNY9wqjJctvJkSjWKWur9LEDdnbFjSLFsNvmiUfvWj8M1X/au++m+ML5c/9jcrJJvfFXNz/xrxTgg8GARqPx1nvufei/f/qzX5zoddvUfUWUuIMrM/aOUwaVFp1YPCnwlaGeCPrKpx9rLo1q/MUDTe5+us8L7+zxT7+1y5XbO6yfUkw0tGOH2COOC5AnGcCNxFiJtU4S2DygTFP9yrogVscEfoynQjqDiPlOxK98osbxS9M8un8Ka3xm64L16yzrJgWzE4rZKY8Ns5KNszFb5vrMTi3zhccMjzw7xbVbBdMtSashmWgYmvUQ4Y0IAo1W7v2thSSRDEaawTAiNoLuwNDtWZY6HhcWJ7j1ih4vumqFj9xZo76k0DJygLSaOPEJI9fjuW6qxk17etx0WY+HXnGOk/OSP7hjiksrDc4sBvhK0vQEfibDpAs8cyLPpAqOyWMriA1ERjBKYBhDaCwkMcQRUo3YPD3g2h3ueNx8ZcJEXRPHTdpdB+w4Bba7wupUNo6BO91iIxi2uzz12JdnPS3/+569NyyPhoNP/VVi8q8M4AcOHmLL5o3qD//wI5c9s//QRKezgu9rksTmSRyXvBEoYVNwg04EnrL4saWWCBpKMFCCvg4YJB6LYZ07HpnkvmcHNIMR//CNbbbOxuzcPODWq7to4VrEhHByxWUlXa20tSXmxiKkRQnnmVtikDHPHJc8fEDzmQdbPHOqRRg3aGnFXN0y07RMN6zzwSc0M5Oa2SnBxpmYzXMDNs0tc/fTIz7wmfVsmtLMTcBEUzHRFLQaMfVgxH2HFMNQ4zUdqKwVhLGkphXX7x3wwFNTrvBpkLDS8VhYCbi4MM0PvukiZxYWeeDxOTwJiAgDOYBGoaQ30Ey3akxNNHnR3j6vuLbPd7xyngOnDZ99sMaDB+ocOtYkFprRSNGPFCovfSgHnmlOwBpiY7HG4ImEST+kRsSLbuixa9OQresi3vP6EXVf0qx7hGGDdtdPr6Q6JRyVe+1uk2tsIpWT7iq7stLhkYfvmzh3/uJlr3vjO9Wpk0eT7Tv2/M0B+LP7n2X93Kz/4EMPfW9i4l/qtJdo1D3HChm4pQO3lE6PqxgnERKLjsGTAs9YgsRSU4JGIhgZGCYeg8Sjn9TodhP+00emsXHEhrkhV20fMjsZ885XDdi+PiSKRKq3JZSYm/wzGIQUfPyuOk8ebSK05uS5BmcvNqjVFZOBYKppmagZJmrQqgsmG4qJlmK6pZmdgnVTMRtmh2xZ3yGxK3z8qxMMek0u32qZaChaDUmrbmjVYjwv5AsP1Bj1Jd561y2aSZRmXfGGFw645zFDbyTpDRI6fc1KV3NhscGVu1q882UdHn2mwcmlFkoaIEr1skeUKEaRS8z0hpp2z6dVb9Csj7hy65Bbrhhy+lKbE+dX0F7CE8c0f/qVBkK5wjXG5w9aAxiwlihM2LEh5t2vGrBuIuGKHZYNs5DEHqOwRRx7LHc84kgRJTqNgxygM4C7mChl6ooBUBgBUSxSu1Jz8dISM3PxLz315KP9jZt3/N6hQwfCvXv3/c0A+PlzZ1hZWth76vSZX3vs0Yel1hKlFHFi04DSEkubghviNAUfG4GOnU6MEouXOA0YaEstscSJIDSWMBGMjGSUSELjERmY703wlScNloQ/f9CNbMCadMuyeKlFJrKKRIlUijjSSKPxtKQVwK45S9MzNAJDI4BGIGjWJa26k0OTLcn0BMxOxsxNj9g81yVhmV/5sxr3PrWePbMw3UjZuyFp1WMa9ZBmY0C93iBQEiVTDY6TA1HkMRwIBqOE7kjRGxq6A+Na5po+Zy5O8tKrRvzIuy7yy3+qObUSIITB2giTWKLYI4wkw5ErY20NNM2aT6NeoxE0qAURrXrIjZeH+F7EzZfHvOfVfbSK0ySQcfX2ZVGeSjpjJEJIAk8BPsORZnFZu7qdJIt50i2WRQyUFq5l4M6AnSWW4jRoLZ6nfnwa3D7y8MMyiuWvrbT7Xw3D4dN/Fdj8Xwb4nV/4c5o1XT91+sjbjx0+InLmNg7QSQncSrkEjFQWlYBKnDaME9CJ632Ms4g+SaP6LLI3onhuBKGRxFaSGE1kApLU9irf8iylAC2Ey1QqqNUtNW2pqYTAg0BDzbfUA0HdlzTqkkZNO4A3BVMtw8xEzOzUiPUzPTavX+QDnzF8+I4NbJtSrGsZJpqKVkPRbECjntCqR5xfNBw9H1Dz3QkNWaWfYBhqdm00bFw3pDP0GQxtyuKSla6mVa/Rakzxnldf4tj5C/z2p7agpcZiSExCbCxRrBmFikHoiqL6NUljqKkHHvUgod11MYbvJS5h5iVo6RolpEzSwjabNpaQ1t+LFOSCtkmrLI2La5JEYowkNkW8EyeiFOBnj0v3OUtn4HagjhLhjne6JYkrD3jo4cfFnst6b9+5c+fRP/34Jwbv/Na3P78Ar9e1v7Iy/xNLi5d+wpiRrAeSKAEZO2ArWQA9MWktdyJIUnkSG9CJ86uTLPlgbPrc5q8Vj4tKOeflijxQKmtuIM3kucBKS4OWpDUt4CmBp63zjbWgFkhqvqQeKOo1RasuaTUsk82EqVbMzMSIddN9tm9Y5MFDIz5y12amawEbWoaJhnDgrkuaNUOzFtNqjHjwIDxxoMFlczbVvUXafDBS3HyF5fLtAx56eor+yLXn9QY6BblHo1anXpvi216+xBOHLvHA/o1gFcYkrhw2tsSRzetJBiNNY2ip1xQ13xD4HoGfEGiD1gmedtlhpUx+XKSwICyCQs8VwbkrITaZI2Uy+7VkxWbANg7ExXNyYGebI7AqsOPs2Kf2ZDgYyHPnL/z7Wq3hN5qNnwfC5w3gSdSXo9Hgp+/43B//353l876ndSmgFA7IFYA7YKs0qZAoizbpY+MaaE1C/jjJMm42y7xZTJqJy5IVNm1pK8ntMYAXCR0l04ylolS05bJ/ga+oBYp6IGjUBa26ZaKRMNmMmWqNmJ0csHlumQcODvjp39/AqTNT7F5nmGrARF3RrCuaNWjWEuq1CN8b0h66YjFPufgj328m06I+E/WIfmzop3XW/WFCty9p1xWNbkAtaLFzY8TPfm+b//Ahydf2b8CiMNaQJIY4iQljQxgphqFiEEjqI0XNlwS+JfAVgTZ4nvP7tbJpnU96VU1lihC22qCbpvZtSiI2rWVJUsAnprh3ZCTTe1EAPH2cpNIzzkgsvTq74w5JbImNyZNOJ06e8aWu/9h7/9F7vHan928nJ5r/0+n8/2mAt9tduv3455967L5/vjB/ulYLpNPciBxUiXRnrJKCWGVAthjpwJ2k4DbZYyMwxuZpZJN7tGCNdV3kaQloeWMM4EXpbQpukdWUO0mk01Y0T0sC3w0AqgVuJEM9sDRrhlYjYaIRMdkKmZkYsHluhQcO9PkPv7eOg6dm2DHjHJZWXdJsSMfedUujltCoRURJyB/e2UIqhSddgitncJtdwj2+63XL3P5ISDcM6KcA7w0U3Z6iHWhqfkDgTXDFtpj/+H2L/LvfE9z/9AaMlSTGpdWj2BWajULDqObKXYNAUPMEge8ym762ecZWK+NkoizKknOAFylPICURXC7BuS1pIJ8BOJ06YPLkGim7k19xs6tzAXBbuk9xkRbCxbHBGMGRIydqX7nrq//izW98tej3uj/ZaLb+/wX4/MVjWGtedPjQ4/VwFKGUBFJLMHEMnkhQhvRekEhBkqeHM3Bn8sO9ZvJaiaL9ygFduDqKDNTZjh/7XEXvZlpnIimKqdI6cgdwiedJV7/hC2qBm3nSCBKadQfuiWbI1MSAuak2Dx7o89O/O8MzJ9exdVow2yxJk5qmWXP1K/VaTD0I8bwRZxen8ZRASZPackWQmSSSOFZsmrbEcUQnqqWdMobBMKE7lNT7iprv4Xs1PD3Jvq0x//EfzfNvfgceeHY9iZEO4IklipOUyQ2jwFALJUNf5RLM88DTqXOlpMsFyNTdEiDS+zUw7uQKaVIIkSeHTJocyrLFSVJ63RSSMykB25jieOc4MLYCdmPBxBEPPvRIfffunS+S/wsrTvxPAfyJh2/HJFHj4FOf96VZxvfd7pACpEnZW2XaygHdmOw1B3RjLIkm/5JVYGcyxOZAt5kcyR4/x2eToiiikhLnu6fgVlKmjRKZPIGaB4FvqNcs9cDp50Y9YqIRMtUcsG66zSOHh/y7D07z1Mk5Nk8p5pqGybqgVZM0aopGXVCvuZPDpfpDHtgv6A19aor0JHMaPGtCSIwgijXNmuLWq7s8+MwE/cjJlMEooT9QdANF4Ct8z0/18xRXbjP8wnsv8eO/BffvX09kJJExabN00YM58iWBbxx7e0UdvVbZRipTChmXdVOtBfIsKWQzgKeAT3LnhTWvvCaNpUyJxDIQV4EOiTH537AWzpxb5kMf/pT/He96Y+NPP/HZ/jvf/i1//QC/eOEUUzNbp5548JO/GUfDl3s6RkmXEldy7IyVTnOb0mXLMXZxlhsl1mbtEqBNDuyiKbg8TsJdWl1BkZApuNMiI5UDHFRaMehp8D1cJ5CfFlgFCfVUXrTqIyZbA6ZbHR4/MuLffXCaJ06sZ+OUZq5hmKxDsyZo1hWNuqKRs3dCLYhpNYbc/YTPSrvG9HSRJs8AY1JtGiWK9bOKV7+gx90PG9dFE5oSyCU1T1LzNJ720bqOlIYrt1ne995L/PhvWe4/uJ7IaKK0AtCVvTomDyKZVxf6WqJ1WoQlBUpn+4b882UnYSZVRFaVRpEQGt9M6d6Y0n1+5a2Cu1zZmZSe5/FXhgULcRzT7w9efuDg8d/5R9/zzh86duzEyu7dO/96AT7oniUcXvrxzvKxbw+HC/ieV/rgIpckpnyJMiLV2dnrxRmfyY8klyHk7F0JJMeZO0V6lpHLtbfMKugK3Z1VDGqFq8/QFs9zjcU131DzE+q1mEYtolkb0WoMmZls8+ihET/xW+t4/NgG1k95rG8kTDZsCu6UvWuSeuDYvxbENIKQ2IzohgFCSbyMwXMNLlL2Sv3iyKPpD125QFhjOgP5MKHvOwYPfOlq4nW2AK3lmp2W9//QRX70Nwz3H9hAZDSjRBAmJmVxQS0yBJ7F91zvqk7jDq1cibCSMt0/aVd+dl8qzMpPzHKsMwbunIRKxFQGdx5X2eJx+bWsVj9j9TIuzp5f4On9J779nnsfOzoKo3/z18rgYf84Xn3rjgOPfOBaZU7SakBikpJ9VI6wbek1m3aUZEU9pS+RBinWFpemPHLPd2CRlbTla2bG2uWgMrvcph06Kg2mtE47g9IipKx6sOYlqW6OqNdGTE/0mWx2eWB/zE9+YB2PHdvA3KRmrp4wWbO0UnDXa85OzMBdDxJqfsxEM2T/CctdjzbxpcRTJg3iCo8iu3xHiSI2mttujLhsd4+jp+rMNSj6HEcJ/WHKwlqhtZfOg3He9dU74Bd+YIF/81uGrz4zxzCqu2RYbGmkNdyBhwO5zq5eJu9tlSrJr3BKihLARQnkrNIrBchtFeB5hWJx5V3rylywO1UGH3PNTLqPnjp4Dnn7w9f+7L/5gR1PHzxz8portv7VA3xp4SLDeGrn4ukH/ouJ5t+qZYdaEKR1xLIkO5xPakrPTQbqJJMjYtUlLfOHbe5pj7kkq9ySlLnHwS0sUmW2YFrzolLW1hZfGzzPEHiGwI+p+TG1IKRRGzEz2We52+eep+EX/mgjTx5Zx7oU3FN1S6suaNZE7pU758U49vYdwOvBiDBJGA5q1JQ7yaQoXfrJNKtIA03ttLweMQotg0iUAG7w/QTf03iedFMFpJcDHAHX7RL8wg8t85/+OOb+A7Oca08wbEqmEksrttTSiQOBZ1PvP3NSbM7emVTJAJ5/3vRDl3GeK8T0oGRX1QLcVUnpqjlLYK8APbN+C0An6e/mOZFEsNQdcObC8lvv/PL9yRtf+YJ/cebsuRNbt2z+qwX4qH8Ureu3tOeffXt78TCe9hEkqVti12RvU37Npno7vfQ4UIv00pYlbKpSpAzwbBeXVWF2ENy4B/JqxawbvxgO5MpiPW3SMRNJDu7AT8E902N+ecD7/rDBp742x0JvmrlJyVwtBXfN6e5GGljWA0kjsCmDO+1dC0Ig5MuP+yxHPrMBlXpsRPUKlSSu+WEi0Lzqhj4PHAzpRgGTece6wR+5WnVfO4Br5RqyhXQJGizs2yb55X/a4bMPDPj5393AmYVpBlOaKV/Qig2NGILIjV72lRto5GWBphR5EJzdlwP18okpRN4rkh8fGJOQZWCX4idTAn85jzEO8iyBVwY4QvHYk0e4bOeGt09PNv+w0x2c+Ctl8H6/iw6al3fOf/GfmcGD1AI3biELTGJjUUma0s0yXxmDpxmwDNC51s5BnUkQW9hQ46xdliVkU6/cjs7SzZkLoDKAK4uWDtiut9P1d/pegu/F1PyIwI9o1Qdo3efuJxJ+53MTfObe9YRmgvUTgnU1J0ucBZj55CrdRMrcZfaO0HrEfc9O0Q81mxrZ5xln8Ozq5kpJa57iRVcOiI0D+CASrms961wfGRcc6nQ2TGrvZcPtLIJ1U4Jvf2WPVnCO3/3cgHueneVCVKdfk0zElqa2DuQ6jUOUTeMSm4I824eiqB2XIClYfHxFwVyqZCMqGNfm5e6hovY8Y/RkjeA0KcVkWRNGYgRGaD71lWe59tq9/+zb3vLSxwbD7uF67Rt7498Q4EsLp/n45z6J589unvWffsXuifPUggmiOEEagxQSZSyJEpgkTcaU2LuQJAV7V+RIprVJkwkVYJesh7J9JeyYNMmycq5i0I12M2nNdwpu5WoxAi/C9yNqXkijMcT3+/zRHZpf/B/rOTo/gxfU2NgSzAQJE4GlGUAz7bCvBy7bWUsTQq5+JUmvBE6eLHQSeqGPrxS+tHmASemrZCd2VrsRxh51b8jGqQEr/RaDSKTj1lys4HlJavOp1O5UDuCVwNVVPr71ZT1uvmqeX/iDIR/+whxLcZN+4NH0JBPa1eAEGnxF3gyhs6RPPodG5FngLAFUJpWqWCkDncoV2Niq1Cy0+diWa2+Rgz02RY16YiA0ijPn25y98Mgrzp6a33xxsX342LGT7N6943+RwW3C2173lp0rC09+YP7EAaT0UCQASOPO/MQYlJEuQ2kEOgW5tVWJYk1R35AFj/lOQJQkiRiTJhm4bcEmafZNlgEuLUq60RMFcycpyGN87SRJ4I8IvAEnLsb89mebfPKrsxy7OM1Ew2OmBtNBQiuwaeo9A7dMwS3zpFAt1d6B706cieaIT9ynOXyyTi2dwJW3i1GgPB/jYJ0Oj2LNvh3w5pu7/M7nZ+k1NBPp7JEgTOMGZXBVmpkzlIHcKx0rd1XYvk7yk/+gz7W7zvBbn5nh2IVJluI6fU/TVIJGCnRfWnfipC5TfvXL9mtmH+L0eZHptKt98oyYstKJ3DdfbSnmXUTlWqLya7kZkbK4FURG4CvNH3/qJFdsv/EDL77p5W9cXOp8Q6nydQFu7QCo0Zm/byvDx/YEagVQKJk4cBmJMQZl3X1iJDqXKLJUqFMu3snYO9uynSByFihYIaNtW9GBGbDdfTZK2YHbuSYZeyd4OnadOzomCEb4ekQ3Cfm1j/n87mc3cnZxCqPqzEwqZnzLpG9opMzdyNP3Mq1TSaVJ6p3n4PZd9nIUhRw+E9ALA6aD1MXJkk6ZK5FlYW2pJiXSTDQ1u7aGqGBIN2wx8AX1yDLKAK6TNFGjnI8tsxLgtYJXxdxknx98a5+333aB3/1sh9/++CwLgyYDXaOmFQ0tqCtLEFvH5mmfrJZFeUOW5VzF5KwhV8YdFqjGUpkMKRFZAfLCTcsBnpZlJDYt0LKgleTEmR6fuefQnlA0tr79dTeeWO5ETE94PNft6wL83IWLICfnRCQ/pqM7vVYjSzcLrDUlEDudrax0RTmlKrScsU3G3CVgp4AvGFs8R4bSluxAmwO7Ik9kWiWnEgdwnaBVgu9F1PwQ3wtpD0Pue1LyR3dM8PGvzjJMWvi+z6wvmPINTd/SCCwNvwB3LZAEgSRIpYlLDKXORApw33OZz+PnLfc80iCMPIKmXRVgZrcine32XRgpPE/z6pu7fOSLPQ6eaTKoudEMI8/ix+BFBi80KCWdby0FUshiuA/F/kyMJDaSRqDZMDXgR7+tz5XbR3z4jhYP759kftBkqHw8T1PTgrqEIBuwlNmr0rp8gqAE8mrNynhxVpnRM4Iad8Sy5wVriwLktnge24LFo6wGBrDW4/c++5j37W99wcdsvPCC4aA3/z/N4Js3rpOHjzx7y9NPf27yZZd1UEENkw6qdKCVJOkKZ+XXM8AXcqQqS/ItA3YqUcoMXin8cT06jsnzlLLJyz2d7rZolTiAqySXI1pHtHsR9z4t+P3PT3DHo5MstVvIeo1WXTHlWSZ8Q8OzNHxL3Sdlbcfc9UBS8xU1X1DzSSv0TApuQ+A5/a30iENn4Gy75hIrqb6tJk6K+hnXB+lAHhtJGGo2TAgu3zbgqVMx/chjlM749kMc+FQ2WTdL1MB4nUbOhqkNGSWuPvzdrx7w+hcu86XHunzoCxM8vH+CxW6DtvTp+RpfCXwpCCSuh1O6VeqUKE5SJdKy3zUYfFX9yjiTlwjNUAo8rSAhdU1SgMcpwLMe0ZisJMD9IWV63HXf5yeb/htv2bb5ms/zdYYHfV2AR91TwbZ10W9MXX6gqaVAiCj9UGnfo5GoDMB5o28V7NZWgZ51uFcAXtohFV6oSBNLuUDfyRKTam6DkokbiJ+5GTJivhtz9yOaz93b4lP3THKp00TUangtjwkNk57r5Kl7pLID6r5IN5mWnKa62xcEGXtnANcxvh9T80OsjfjyowEnz9dZNyPwpEl1rCgafUtsZ0sWapIoBiOPHRsEr76hzye/FtKLPAaRoOa5flU/nSxVXKVU7le7OeoU+9WK/Pgk6RbHmnow4t2vHPDamxf58692+ey9De5+ssWldoOB8Bn4Gu0ptHAjPTwp8UQ6y0ZYFKIkDav24RpkXnHBCuYWeQCajDF2BupMmhhsDuqiW8uQWM1/+1i7edU+9RvD+OyVwOAvDfDFtqGTDL4zXPrK1EzrLAqb1/s6MGfrU4KxKi+Kz9aszGRJ9jx7rXIQwPVOrlETWAkoS8B2AzqdJBEpwLVO8HVErRYxHCUcPAsnzik+euckn394gkvLTfBq6AmPhpK0PEtLG+qepe5BzXPgrnluJqErM5WlTaQ/tynITQ5y33PtaUfPGZ46HoDnpZd5W0rRiwoKykGYq5cWxIkb53zNrhFXbe1x4GyDQU3QiAVBZBkpUmvPpOyduSmZBVloldxnz5NuKp0+4DEMPer1Ed/zhhFvuXWF2x/p8SdfbHDiXI0DZxuEKwFxoBlqjVRuqq8CdHqfMXkuXSiC/1W33E0pQG0oyZKUmXOJgmt8LgCdpGdJ4h5ntJ/AyskLPPb0Y6yb/fqrRzwnwJdWVkQYhj/ym39waOqyDYpb9o64aW+M9kFqgQndGIAM7CZjjRzQZWDLQncjUlBTuh+Ddxap55rPJTWcJDHpKg8JQeAmqcZJwoVFuPMrmqNn6tz1YJ2zy3WOnmtCEKAamppWNLWlqY1zETw3OL/muXFtDsTZJtNNpQAn1dwpuL2EwHPs7U6skOPzsP9EA09W7cFcolDUg+eOQuakmLSvMfa4aseAy9f3efpYTD/2aEWCkQY/djMBVQngUgqElBUmh3H7TeTBbNZHGSUeI89noh7yXa8b8bJrO5xd7vDlh3yOnQ64/dEG5xZrJAMPIzWRrxBSpmOuXVe+JM14Qi5b1gJ5JdCknKXO3JZMo5rSlvbXkt6HFiKD8BKkSnjhlSNuuTzkpZd9ad1rXvtj/+yf/YNj75f+7jXDt+cE+K//j88TRTG//+d9TLSBXRv7XLN7xCtuHHLVrpjNMwmX7QxRVpKEEkMK9nxsgxzT2imwSyyesXX1k9lSxF6wdi5FVIIXJESJ5dhpwVPHFHc+2ODp4z7PHq/TGQWMwgA8HzXhEShBQ0FDG+olHzjQWZ1GVjbr6sKDVJb4vsL3ZXoC2EJ7e4nLLHpO59f8CGtCLi5JRjZAa4kvLbpks40ReA7yxFb7HcPYQ6CZmwmRakgv8uhr4ZyOqCgY08pUMpBSlKLYbNgRLkbKmbw0GMlLVD5+oj/y2Tgdsn1DxI27RwzCAf/weJunT/jc+UCNp47XOHaqRhQrCBRWKhCSRJayQXmSYg2tUhHnmQ+c3ZvS/dhmDEQGLRL27IzYMhOzb1fIbTeNuGZnzI71giSZb3Yu3vPtCO/9fykGf/bpP+bwqYH6j79zUgxCwShs8MQxxVNHG9z+QMikF7N9a8w1+0Jed/OIV10fgjV4GupNm+psCUYQRw7wWSBZYfDyKW8doEnnl3jagjAIaYlCS3/oGP3EGckf3xHQjxSPP1vjyOmAhZ7PKPFB+6A81ITCl4K6goay1BRunJlKC4+UY23fEy7pUQa3J/FTWRL4EPikrolLmXva4HtxmhGNqNdCLi0n3Hl/i3Y3YHpSoFMvPiv6Es/FbKYUEBrJaKRYN6t4/a1Dbn94wKl2k4EnnUzR4MUWL8o869Rjl4mzCynPOpH5exirKyUTSSLxE0WiFbHnxj5EkeesVC+i6Ue87JqYF1054m2vGHLotOSJ/R6DUPHhOxscv+CBkPQHmiRUWfkmVmcAH7OMyunbCsABaxCJRRiLTYFdbyZ4nkFYw6tuGPG6m4dcfUXEjq0xk55gXQusUUSRz2AUM4ouXlXf8pPvX+7+wx+dbq1emX5NgIexYPumxq/58vx1kUnc0GwtMCZmvq+ZTxKOL1nufzrhY3fGzM3EWGO5YW/Iu18zTFuQYG7ScP01Ic1aesWxIs+BrT7mIh/O0+4LnnhSs9iR1GuSB/d7fPqrNYaRYhgpzl/wMUITWQ8jPNAaEWi0lPhKUJOWWgrsQFkCZV0NuE49X10wt5/1ZebgVmmPpsjZ2/cMvp8VaCU5e/t+hFIhX3lM8cmvtVC+dnZbRX8/N4NnXniSZI6HYjj0eMuLB3zqvg4f/vIkvbhGM9XhXqbDoywpY/NuISFkDjD3VrKk9UsAN+loB+2Y3NOKWGt0nDigqwSl3CD96VrMi6+IufWKCCtGvPOVfYaRG+f2F18NeGi/Tz0QLHQUTzzt0+nLVCUJnlOU5ytPuNbA66+PWDeVuKaHxPDu1wy5/vIIa2Bu2jAzBQr3/UyiGA4VidHpaIuYi/P7a5cufPnab5rBL8x32LCuNfHv/9snrjh2pqGMHLkjZTXI2M16sAZjEkbGcLFtuLjihsYcOtXg019xZ6JNLJPThluuC2nVXR3wmunJ8qmeug4rPcXDT/l02gqppZuJYrVjJqFxc4E1SI2UEk8KB2ZpCaTBlw4IvgJfFTP6HMhF0fCgXSNA1nhcBrdj+LSs1ssYPCltMYGOsDbk7IJPOKoRTEr8NO2t0qq8ShZTUJBXyTrNu9ONIow8pluKbetCfDFkEAcMYkFduyGYWQ1JltBSslzeKvP3cu+RuVqmyJ4akzafFNIojpM0b6DSuewxUZygIpdL0CpBypit60x6xTBcuX1IaAdIbWi3BQ8/pVnpS1SuWKpBdeVIp8VYzZrhRddFTE4bbOyu7HXl9p2TuRoTS0Ijc5fOGRqZFLZsng7ZMXW6Pr31H07YZLkj1PTXB/il+QVWllfef+zgyVeOBiF1XxMaUtdEpUcocb1pZc2EIbaWdnYJUobOiuX8V5qlr7gWwMv6LT04QmCyJRdIa06FKoIcKVMrKwN1mnaWpAu3Zr5x6V6nnfSKdOk9cnC7ti6Fn4Lb1+Qlpo7BUxbXBj/NjnpeRBBEnF4w/MHtTdC+m7EoSwmeCviqRJaxazYk1IHNDdYJI4/3vH7An9894NmLLXqJRyN2i9K6KkBbdOKoLCdQDvay0sVMCslSgVe2mbwWRmuFl7h5KV4KdCWLpJmrG08fC5MODkrQwiJswrqG4VteakAkqcwERLZ+xhrHPK8xEmAUSaTJ5rHEkSSybjpZZjfbkoGRW9BpYD4KQYRnX+lNnH6/NfE/+YYM/tD9X0Qr4XeWzlHXLhwfCUFoIc4CGKuwWYCQL5dQ8iuzx8qSeCVwr4nvjN0ygFeDFyFl3oKmBHjCpZUD4aoFPemea0laU5F2j2eFRJrSHBTSldmKrvoC4DKXLYFv85Y23zelwTkxXsrevo6QMuTkBcF8p4bQmkBSkSey/LVKh7ssHSrAS52OMPaYnRixY+OAAxdGDBLNMIEgEXiJxYtTHR6TO0tFCl1VOhWy2M6xn63W7SeCJDHoxJAoidLZ8uUqLVZzy8ooWWxCGlQKcpG9N25KlpA2d70yoGcO2FoAL5J7RVw2bkxUHblS+YdxV7wo1lw6u8ATx77sizXyPasA3u3vRynBxV6fYeIi9UBaPNKaADLvUhaWT3aeWpuXThag/nqyhLQrp1RYL0QxekJkU6nAExZPpKBNJUD2OH8tJfuiFJS8wdZXwoG9Am7p7v0M6FnwmYI76/7RJpconnb61PcjYiI+e1+di/N1vEmFX67hKDsojCnScuo6P2BF0mc4chNs3/SSHvc9OaQT1+hrTT02hGk6XcmiICorOBPCUHQOZYFmVrWZWYfpTBULiXLvqY0gVgKdyHQVO1fLE6dAL5JpJk+wSWlKibf0sSyDO7V587VinuP4lwrtyE0IcoCbkvs2nhnHCgI/Bi7y5KGn8ulhzwnwX/7QnQSNxks/dccXbj50vgcovBRkFvCEcat2pUUzhUFf6rjOTP2vD+v8oOfVagJUdi8sGnKrTaUpYzffpNC4KgN2NtAzlSdlYOdzUBSuH3EtgGcBZ6a7dSZLbKq3q7XkvhfheyEX2oZHj9RB++hUnuhSgVKW7RNjCHf7qVR1l9dAy9wTjyKPGy4bMTs1oL3coB8rGgq82H0XlbgBSioqAxwH8vyN5Filpkj7JtMafWVIjMAzgkRJEmVIlCBOQV4uXsvKIWQG8hKos5IJgUlBTlrSnGWii6RdpRijUr9SYvPSiVll8oLlsyuBUjHb1nd456sHN+++7K0v/aff/ZJ7Jze94zkYPAqJhvZbVlaC683Q0KorN/mIgogNpXakbD9mVWKV31sruKDITpYALrKRE5SmUaXZMlUCecZYOquNSGvAs1JP11ycdao4WaLy7pUC2FnzrWPvVHNrcr2dWYKOsQtwe3l1YoQg4jNfDbjv6RYy0PhSuPnbeQVheT5LuY66OKh57c7YZTcxisHQ49arB7z5ZV1++zMtwiSgl0hqiWUUk165ylV/JpVzZuyEei4mB6Nl2gspcnAnSqKUcYwuZTpawpRKkcs1QLYAeSXbnDF5dpEuyVSxmszLI/eKGpbVsqX8PbJbYjyUNExPBNcPB4NvsdbcuyaDnzh5hunJ1us//Kd3/oO4c5H1TZEGkqUDkr85+dlFyt7ZL5bfPP83pf1dnruRgTsDgCyBQlLUPJRHG2TM7ZYgyZ6TMjh5G1aFxdNuGE9Vwe3GKYwxd9qz6aftbZ7OGg7i0hYREvEnX54gsQEqz16WA8yirzFzNioanLF2PSPddKgkCzY1Ao93v6rPH352xIqJGCQ1BonAi8lZ3K2cIfKiM2cXjl8/JYU1KUogFyQ6nYigUpBrizJOrrgxe66C0WWPZV6aXFiU5erOoow5b0rJgV5IldUAr9BgqT5JlH5elFYXeRT3Z43RLHV7TJn4H2zZ84a7lhfP3T49u7kK8OEopjcIL2t3+3t63S513y+W3MveuAzw9J1XvfYNbkKUmLwkT3Kgj5Vn5lp8THNmoC/P9lBKFFo8rbirDLtJga2VKJyU3A50HfeuMdmmzF0EmLrE3oEX8ugRyeFzNazyUFLiS4Mer9MoCfBxFyXb8k4nI0p+tQN5FHvs2Rxx1e4eXztUJ1I+g1hQk+AlFh2niwmkCwvIONXhSCcXKm8pSiwuStKo1GCQzoTUyuQzJFUq/QpwZ7VANi0TyJic/OohSuBGZBOz1mbvtW7lwrtxQK9qiEmvgMNBn2bY24MZXmZtePsqBj94aplWc8jxiyP6oaBVL62xWP5/maFL8eSqzOTaH7siTXLAl4FeArfKa74L262QLMJ1z4sC3C7IFHm3uM7BLSsALw//cd325MDOs5U5cyf42iV2XFdQhCXiT7/cYHGxjgi0893LJ+F4DUrBEZUroDFVVq1400YRRZp1M5J3vbrLo0cmGCU1+sqnnjgtnpWzKkkK7uxaYVJPvBwNlbLJ2Xum8x7LHe1uc22I2VSC7LHMl1VPNbjM1jvKpIksmiPGGXysaaVI961tHVerTEvqPZcvxc8F0KjFTDYXUZxDiKK4MAf4L/zmXyClpLO8QuDryjSmMkarZ9L4x/v6HJ75/4U8GbsvA7rM4pXxYgVjyzKDK1Fi8UyuSJSuAtzX6QAgL1s6MM1waouXp+JN+jipbFq5zp1nT8LH7mgxkj5KqjR7WT0RxzOYa+zKfD9WdXiqxRNFnGiCRPOu1w35/c/3efJYnUh59KXET0zqHglkukxMPn5NitzJcDeTvld13aIykycGdG4hutHWKi0JUIkthnXmc1lEfkLHY3rcHc9ysRwlJs9A/o2v93YM2GUVMQ4sT3n0lp/BRqewppBoGuDYibPs2rG58c9/6td3PfbkRUaeRWuRWzy5o/l1LO013rP6XIw/Xq29n1uiiBw44+OQZYmxsyAzm9qkdbbIa6q91Ri4s/S9lzUmGzczJG8Ry3o643SLUF7I4bOabuiD0qk8sWPlseMnbnWHVAcajXnhaTdOkfjRND3BFVuGPHk4JDEBA+NTS1zNtk41uBJuIVeXWMqjI7Igs2DywlfOOtx1PtjUvZZNJ9OGtIPIIk0xISCbrpVk3f25AVAEl3ngOXa8M7SsapiouEyrgVV1WorXhHWaN449Yuth9PZdV77wnzU6Kz/an5ja7AB+5ux5Vlbar7ti1+yPP/XkCF1zl46yK1IeDVA+UOWrzHMFlPlrovozgcvnlIFQALvoY1QlVlSVoZoZyClqpFUJ1PnjNMmjSL1wB24H4GIokFeWJ2X2Vmlfpx+y1DX8tz9rsTioIQLPyRNpK1eVYnDONxBtec2RSFdeKTO4c1TiWDPR0PzwO7p86dEJFkc+odQMpMRPeyiLkQ8pg5fr6YXJy2gtJgW3wSLHnBWRMrjNg/QM7EqKlMGdJEpyF4VcphQ6vGgnLGRKFngWVmFl34xd5Z4b4GMyhYLljYFu39KY3fzjF84dvDeOBn8OKYM/88x+arWAs2dOE+gYIX0Ss3oIz/jB+Ya3sQNcHew4xtoUaW03J29colQH0+TAlgKpivFjqgRqLSU6lSQ6B3imuU0eVHra5OD2dFZ/UWVvT0X4fshHv+zxzNE6SA8pJUFWGluyNvM14tMv+ZzVhBRsXnSXFyCPjUwXefK4Zk+ft76sw+9/vobRAQPpE0iRJ32UFESlgG6cyUWZycfst1yqKFDWXRWMdXMms9mOKh2mWoyVKGbRFJNpXR+nkFV5kjsrFQwUz7+Zmx17UHji7nGSCPqDGHHmHIMwIIndwhAaYLLlU6v5NOsaXzu0ySSbNCVWs7dNdf9zgTz7EiW3xL2cFebbVQNlKp5xHliKgs1zhvxGAJcFwFWphlqndSkeuRTxVOGWeKXhQIXmduztaTe1arlt+IuvtFhoB1BL3RNRCsaeQ6IgRJXJ84O0hm2X97RKTJK5KZrpCcXfe2WfT903ZLEXECrNIJGpPSlS90YUzdhyPLHi2Dt7yeRsXvRG6sxZUenjdIiqScdhZ/u9DHKRrpyXS8lUnrirc1mPizG5IqoAF9bJjecCuEhBV4kDi1jCTQlzZQ5REpAk7m/p5YVnmJqd3nnfvQ/9yBcvnsGg0AJQIMuNwn8Z9i65B5axg10CenUTa0uULHFSAXZ19ne5w8UNd6cK7mxlg4y5VYm5VzF4Nm6iGDmhlctcHj8hOHSyhiFASJ035xbVg+X4QZRcjeLLl2tRCiYXJXkicicjbzdLNFjNvh0hezYNWTxQxya+Y/HEyRRdcnEK9iwXemV1QrJk86Zsbguf3MhiTkk5tlHp3HeTrtyRJ7RkQUY5uI1IZ6lkmlyMSRUxhgebPxmXKcXzzNIr1deUQW7cBITFpbN4U3t+ZOdlL3n84ScPndCnLgg6A7PxxDn5+mcOL9Gs1/KESkWepGz8zUiTcedgfJZGBuhyKrvyWqmXsXAmRCnYLADtGJx0FHDZBy9v6ZLWqgzuEsjT9eq9tDQ0Y2+VPtc6QqmIz36txeGFOviFPPFK1mXlhGX1uIhVrJSzZzngzDKaVS0ehprd60LedGufh55tgPGIE6fFvSTN7iZVqVQwZzlYSkGeXZ0r4/MERqaPZXpVkdkm0mVpbD5uOVHpggdCFFo8lUbFSV6cdJSYHJF7IpRHYI/r8TLYsydlHV6eX6mUpCUvsn199PoNk8ONYRCf0HEkCCMwieui9nWxGlglmVP+498EexcfWKzW3WOgzp6PB2gZoMUawM7ZXIlSE24J3Ol8wmLZDlYDWxcDgvIRb9qkII+dPFER9UbI1w4q/vwrTQZDHxoaLQWeqEqT8c9f/s5rAjwHeUmm2LGETwryKNZMtjRvu23I5+/r8+BBH9v0GCQBviA/0VT+/oUOLl1Lc5CXl5xywWd6ginH5ol0etyUWDsL6k229IkRJf0tSoFuNYYqdHcRF7jXxBjQKzBaG+AZ4Y6VhmTjtwU+Smg8JbFSoiHB2hhfGyaaLn1tjF0jWl39huXdthaD52y9CuDjEqU60bQILkUOmnxeniqt3qBEWptSgLsAeVY2a9G6GKGs00WYtKoC3cvZ2m1KuQDT90OiMOHz9zd49lQDPA8hVQqqdG5IKbgUsnpQx12jnChy6ZcG86VMprEir302JbswDDVXbo95w0t6PHGizij2SaTHwCj8hLHPknnhjDF44ZCVPwsqO9kMRol0HAhYKbAKpC30eH5FlSBNaZahKa4achzg43EJY8D/S2Q6y3gsB5vGCMJQ0+3DYJgwGhr0l774BbTWrKx0mJrw8+XeskGJ43/wm2HuAuSrx++uxdxVUGeMXQ4wixUICmlSsgpzxs4AXkxOzSVKytyOsW3O1Dq/Lx57aXCpVUTghzx9UnD7fQ36Ax+aHlJklYOU7ME1spil71nmpawWJYvWq4PkxxI+pQKsMPJotULe8OIRn7p7yBPHAtA+QyPxUy2ujGu6KksDkZDLA5Ixb1cVTo5WFNJFOjbPripZkG+sA3u2FpOSAmHKbkp6zE3B7OM5jlUAHwN9ZW89hwNVfpytERQngv7I46GHn+DJp49iTYKeCJbQSpDUYmq+oj9M26DKiZ0x5n6O913b984/uKicwWuyuCyBvay5c5A7vV3OZiqVVhimFYWunSt9rMvzwcfAnW5eNoU2LfDXKnabjvC8iNgmfObeOvc8XYeaBukamr1SCW+lNLa8lZ88BwtVrVhRaip3jkpiZAXoo6HHK67p86aX9nnmZI049rBCMRAaLyH/TNlKd7kkyI/gaiYvD7FXKmNux+buuUAakevw3O/PGD272qYMng/tHAN3JeCsgLxwVdbC0bhKWEuyZPU0owhOn1xmFHeQwqJPLw1QCrodQ6dfpDizmXff7E2U/jfO2MVj90SWAV5q6yqvLFABdkWqlNP0pU2NgVuVNl0sgpoB2iuBOnNOnGPi7pWK8L2Ix09IPvblFuCD9BBC5V1EKl1IVY6xU/Z9ssMi8n1SOlSlArWCuUsa3Aq3IoZKRz/k68RrrNW8+1UD7rx/yMNH3SSByCj6iUgLvlLQJRlwSnUgFZi4qweKCtCzn6oU9Eam6/lkQXGmvWXK5sLd58fQlAZ2ytLJX0mAFZKk2F/PHWh+vVu2V5WyTLUMQS0ktu476y8+5M5QTyTM1mKadZVOLh1H79cDdfG8YG5ROkPT1yhNWR3T3YVUEWmyoLCeMoDnc/LKIE9b04rFptzKDsUA/ALcFdYu3WeNtZlUUSrG82KiJOauB+s8daTuJgtIF1z6wpYmx5YDK7EqsBJr7MTCpsuALkquBlUtnrayGZU6KolmFHpcvWfIK25xLD5IHIuPhM/QgE5EEfglmV3oAFVIFPcByjVF5YBNSbDKIq1AWVz20wqEFVjhLORcqpSCyoK90+Nqyid+aa77GnkQt5fGtPg3ocuzK6WUMNFIeMEWw2TLLQ2u9250jbxRlBCFqUyQBcu6v1C9KIj8r2bPReWDlM38/GelL5bbV2OOSXWNmLH6E0G+9k6+enHWfFtpeCiWLlFqDNylofi5e6ISlC4BPJUovo44fF7woc+3GEUeNLxUnpC3pqnyKsFl56QSVT8HQdgq0Msypbw4gLFraXFNM5B89xv6fOaeJgfPupMvMYp+olyVYZImfxBOfyfpWI4K5xWVomWAS1tocZlqdGksVrpjZKVwADelWCljclOOpda4spUAXfboyyT4zQC8zPjlrOkwlJy5VOfisuck1wd+41c2tBre/3vmzKl9+ZJyJSvOyQiZM2vxs6wRuCQfSj9XsuR2yOz3qpvKLn1SpGWYIp2HV3JFxrZsZELZ487vdaG7nYNSBXd5rZ6imCpd/UFHeTODp0MSGfL7n27wh7dPQRCAqqGUpqEsdWXTcRTkDc5eqTWuyKSWE1GSYjIslQC1iCUK2zE7aYUkbfwteiGVtAhr2LYx5OyC5JGnfGLhJg8YoRDCldKuFfdUASNyTSLKz0vuGSnYi5OBwvmBMQ1f7exacyv/m5KblPdaUr2vLIGSnYTjZQ5AVhceJ4JRCJu337hx5+Uv/aI+eer01GDQe6OWCb5WlCoNx+w+sSr1XrB5weRrWkClx0UCoOyejNWglFm7UgduK9pb5mAoJIkqaW+Vr/RQWohK2TFJklUKZuwd4emIQ+ckH/lSI52/4tg779zP3l9QGS8sS9+7HGiK8pPyASqDw5RrQ4q5gjYbU53NBUkUiUq1eKL5tlf3+eRdDfaf8UCGWCEZJh6atF4k29dJCs+kqBJ1UC1JJ+ueW9xsrOyzyRRI0oK0TrZkulta9x7WpP64SQPUytW5yuZrSpPKiVhmbrGKxSuYS68ASf4dJKMwZqXde6NUZ6b0dCskHsZMNBRhJEnE2ArCa1wmROn6UJUlpaROhTHK0fSYLCnrWFl9XAa46yLJ9HfpcQbkrNot0+AlcLuJrCa9d3agUgaV+d0qRskYlcqTRMV8+t4m+w8X2lsK6bzvvIOGNQ+gYPy5qO7LEhNmF+dyA3LFEy9NpNJGuNoUWaTww0hz5WUj3vLSHkc/EhAmCoQmEZqBEOgkte8y8iFzVARlPs5D4FQvWStQtig4stJ9RlVmXWGLFL8AIx3wTSZTSj54GexlIK8CexlTq7A1TrhjV570GyUG2l3DuYtDeqM+uuYP0TokTgwWVZSvjv/B0l9eFemWD2T+Ycp20PgXXJ0IWLu5ocra2fOMtTOwZ8ydA12VmbzQ3SoLIrMlTqRBy2JovlIJnhdx7Lzi1z8xwVB6ZBO0iq759ApSroEu68nqnn/OW3mkTLbKXNbCVqTsyxpcVOpTEqOJE48gifknb+/xZ3c1OHpOg4rAaCLhMRAClRSOhiwHm2Mgz7x5C+jshEtfk9al5y02Ze3MEzcVNrfp+xgpELa4eqw2E1Lgl4Ccg30VrtYGeZVwqzjVGoxIiGyCfuhZzeKiYH4pZmqiNG963LopsfRaQUAlmCydCKuCi/QEWosBy8AWY6ydJVKq4DaFRJFVBtcVfzsFc8XvLm3SsbinQzqh4bc/NcHZSwEonVqDMpUntuJ754+hegLnrFRNdK0JdMp6Mms8KPdoZhpU5lveDCEVSazZMjfivW/t8gsf8mlHLiCwVjIyrnBOJdnnsJAICoVdgLz4v/uJSs/CdH5TcS8Lx0dKWzC4LR271DK0OYM/R8BZAq3J8FXGEKsB/1zgz/62krBhBl5wmWRmRqJrviDwijcrgkux6qypSJDSO4nyh8sfl2pMsr8jV4NhnLkzYBesXUxpzdk7LbgvAF1icm1SRje5NHFyxJSkSsbYcX6vVYQOIj7+mYAP/OkEI+M5eSJULk/ypuIxS6yiu3NJtko1rsniGa4Kq7AM+ixlbzHGFIt75ckftxR4Tcf84Dt7HDrp87ufdlocFImQDI0LOGVCzuBFAVZ2sApZWrYrHagLyWJtyuaiKBRzoHKlrraS+HEyJq9LT/FgyiRXwYyo4ocS0L8Rq2ePU5xYC8NQ0R9pdK20Fo2XLlOXg3vsDQshUgV5/gFLH2q1FbS6NmF1YY4dkyi2FGSmS3SXlwxUZdfBlKRKBuYSk8uiOjDX3fm9mzW4tAx/9qUGy6MM3A7gnnTaW4uqPKlcdTK7bPyAjOG7rLUzkOfln+WqvvGlF81YnbiUKKMwRhMnmkk/4e2v6fPJexssdhXICIwiwunx8erC6in33Ezu8kBFUiirT8mCTZuyeA7o1Cc3ljHGdscTIRzDk0qZ7Eo3lvjJAVwG9BjAyxiUFE5Lkgj6Q4E/EuhWXRM2NM2Gh++pVZeI8bOnDPNxhpfjoJerwb4qICu3PeWAKY2IkLaivQsrbXVQmQ2nKcCdVALMLMjM1rnRJfb2GjGf+UqNB5+qY0ra2zU1ZPKkWm+St2aVWaSix4ufrU3iKXvmFlohUcabIWw56LTSLTyQ+uJx4qFNzIuuCXnzC/v8wWd9UCEIiRWCkdEoIdwSJFmgKQpQj8uVzBq01tm1GbMrWcgoK0uFYtI1x1SY26ZVqSUMmIzEMra22c8KS/PrM3cVd+XHCSAMro4qgW5foAOB9rQbHdyouQ50+3Vmrq0ZxY5fJp6DwTOZkhXF51JljLGFGGNvUQV24aKkz5VFpyPGpEwdE2lTXV2SJJljIksSRTr3JPAijp6SfOgzLS50fbfetXSD3pWgWLFhLF5YpbvLvvMa7D1+qyR6Ssy+aqnFbAnGSte9Wz/H3bvlTzY0E77nzT3ufSrg6EUJIgIUBslQyNIiUg5UGahF5SwsZFL+/zybmR6HMpsL9zgDcyZbsiux+1k2+12kejt9nPVmiuIxz8HmkH3m1ViktA8BwtAwDA1RZNETDUsSWiYaNp3Nkc7rKL5f5XJg1wJ1CdDZ4zKgEZQukVXdnV26iqSSLbR3xtwqA/wYyPMZ2eOPk1x7Zyyus3HAKkbJBJ3agr4fMUoMv/nRCe55tO5CcKmd9pbSde2IYv5K/lmzK0v5ZF6Dycs4F9XjMZbBLFyLYo33cvlsuYzWtZuZzFFJDLHUqFjzihtDfuDdHX76N31GsXQZKCOJU1dFGlH6bA7klREOVhRDLDMdLlOJkp2UNu2ut2ClTQNMkZ8AedCZn/S2Uq8iUvYuq4VVnvgaGGNsf+bPc2KwJMbSH8R0+wlBPUbXA0tYM9RrljAGEbtAuwxwW3ojW/rjawUE5Xv3O3ZV8XvBguXBPmuwd2n9ebmWPJE27/Z2y2abkkQpjf3NdHc64zoPLmWM58d8+WGPT97TYBR6UNe59s7ZOw9sqWxrefvly6rb1m46rvQWpsAupEFRfGVVVmVYrRVPjEQama4yXaykVm/EvP0VA+64Z8CdDytnG+LqLyKhGWRX0fRTFpV8KVvLUilv6SrjLMIM1OnnlNnqC8Vzm0qTDOjZ8bVCYPLlB9PAU5awNIafIpFjc4duTXCX9qUxljixDEeG4ShhODLoehAz8hM8ZYnilHHl6pLE8b+5VhBaPRttzuDlqHmcxUVZb5e9ZVlyLDL9m6+n7p7n2jufhFoAW6sxoKsC3DoFt+9FrPQsn7m3wcHzNSdNhCuJFZn2FpQmSNlV4M5P1vz7ixLQv44+yY6NdayZWXLjKewc3KuGAxU1KlIqpEmQRhONNHs3Rrz5ZT0e3O/TDtP0q3F6PESRrQMhSb3xShltcbQtLrmTg0g6t0WlLW0Fm2dSJU34iLSGPAe6yI+7oXRVtwXDjwN9LRvwG92y2CVOLMPIbXpu9hKjYZflrikO2tcplV3rzXOmfg79nXmw2d8tLLZqsqQIMAtgF+DOfPAiuJT5YHZbYexKQJklcsouinSd8oaE//HZOh/4RAsrtPO9K+xNob3lGp97LKDM98eY2/Rc7F2p5GNcf2dMvrqVLV/OwxhMIjHS+eJKGqLEQyrDD76tz5FzHh/4pCaKC5AbBCMhUSYbJJFphRLIc1CnKGSM9IQt+iEzoAsHZJn9M5FJlWLERGYV2hTstgTu4ipYCnyzwNM+x/Lhq8DpZlFOtDTDOGKh20ffcf8MS0uCi4sXmZtxM/tk+a+Iyl1Juz0Xc1dBvdpBGRszVpYqJY87Y/ZiJl7qfY85JjIDtxqTJ2Nr1qt07RmnwSM8P+LIBckn72rS63lQV6vZO6/5Ll1dRJHgqUiyscfwjZM8ZCAfr08h0+Ki4p7YtOkgB7oslvUw0mlxKTVRlNBqxrzttj6f/2qdI+fTpIIbUE0iBAN3rXGf0aTgtgXYbQ7q1C0hTf6QXXAyJyVL3Tv2VilYC3lSBXom6WSKo1XJMVnef2sAO8fj6p0rsUilWD+tufGqOrOzLfSmuUkCGbF8SeVztfMh5mux9xiwV7kma33oDMR5YqTMgLYiT0Q++65wT3JwZ8wtyoPZM+fEVJbbkCVZImXqmKRMrnXMKDLc8UCTLz1Wd8PBpecAPsbeWZGXEoJKMEw5iBpj8m/ykloi9CrQS5sxafYwc1LSpUic7jaFTDGSREhUIjFCEY00r7k+5DUvGnD6cx4jk9ZBu0ooYjRDAdKUlq0SIjews9SPyo985qikteKCHPhWiILsrTumVqSBZwXoRUbV5LK1mJUjBK6sV2SfpxSQpkDL42FhK4pKpCceiaHTM6x0A3Stgd6ze9vKSRV+/uJ57+9bkyBT+rblvV/6KxVdlL02DmwKIK/J3jmYKV2+MtCXGDsHdgb0omy06pxU9bfK0+9J6XGMlK5TR/oxdz/s84u/N0lideGcSIUQ0q0DJIq0fJXBy47P2uz9TSQxK/t2dRlpuQEi9cbJpl6lxViicFRyTS6dNy6MJo4Nvp/wE9/b4eAZzd0PSYwvUsi6LxAZxSBjw+wD5UhdQ5PnXnh6tc0+bxpQZjpcpCeAoRglYct4gMInX9UEsUbXfcb2FQZfDU+AOEpQWiFU/fPr5javqBfduLnXbc8f9TQ/IInSTOYalX65/qQSCK5Z+ZcFY2p1wVS5SKpIvWd2YJGKV+PVgaWAMi+oeg5wl6WKriR0XK/lmSXBL35oknsfa7pFeaRrR0N6aCmoSwgk6SJXdnXtdmVLG6DzITnVYURZzbtUYw3Tpf1WPBelk96u3q8ZGZTmAIpxqVf+mYV1szGBtjz4pM/KoFRbkIaZ2RTxouLQoUtUgP/NnK2lEyEDX0l6ZRCtEmdJ4mS/j6Pi8RxB/vuVIrWSPZhAksAoMmjP5+Kl+e954slnD+qJhlv6LY5jhtIQxYIwFkVX/dh3KrO0e24rbF5m6nKK1ukrW2Hzip9cWRajKk3kGpo7W2FgzU2VA8u0FDZ9nPgJH/rUJH/+lSa2pkAoh06hEVJW+i2L/sav0zFfZp/nioLGXs4P3hgL2dIPyoFmdX5hGmSm8wNtytzWmqJGRUikUSRCIwcJb3/lgGePebz/g5owiEvaUmCNx4i0PCPLryfOxLbYEiidZLCk2U1jMywWwWbGyDg2d/ZgcUHIjr8VmdtUusInGX5SFrelj2mr7L7WhdAYSxzDMDQkNsGP3GJbet+ORaSE4chw9qJkfqWOTArtZG0V0GQApgB1RY6wFsjtmEQpOyeW8RG8FbBnfrdIAV7S3hUGl0nJSSmDO0GWak/ufCjg9z7XZJikU/BFZg2mWUthK9p7zdR8Gejlk3488KwcjbXZz6bBXeY9r8poYleV0FpZymzKkrMilCvMkmlxljQkRhN4hu99U4/7n/C58zFnF2beOFJgrGZkXDtaXkQybh2mSM2llBAoMmlSAnnW9FDS3NnvZKB1RXe2QhJZAtGWZUyW0s+4vhTbiNL/s32WGMtiF3rLFiETwKLv2991UXMiIW6m3SPFHynqSQrnpIhsS4EjJaCPgzxLza/lnGQAL9uDZXCLYmUvtUqHm6oHPs7eMikCTB3RH8HP/84kx84GWF2sllzR3plEqgB7DNCsAeaxnb4qIl8D5OOLCFQzmuXiq7IeX12bYmRacSjLLK4QiUEIjQwNu7dE/Nvva3P/jwV0h+mXMTL/XAmaYRbMZcXdpgC5lYBJQW3JHRaVBpRWknYlpWBOa1KKJE8pZ5D9ToUIRXECwCrSJP15NfdS6HIl3bI0m9ZbmpM9gprBGoH+0mNXglDYqMe6WptdWySBZ1BqrTd5Lqdk7eflZoDyzOhCopRG764pUUzJBy/1JaZsnjN3xTUprc6bet5aR8QJ/PePt3jsQM153jJj7sI58URVlihRZe1yPDLO3GnkRHno5toXU7H6pZIMKRogKIqZrCtmWlVtKByD50GnkQ7kicSIdEtSqWIMN+yL+OFvbfNfPjpFmKQsDnlUmKAYmUyLp7n2EshziSJKWU4h0mUmS2wuQZiCuWXuyjmQWsGqfZrjLA0+y2CW+b4lr1asSBicyqzXFFs3KF5y0zQb5gLC0KD/1Q+8jUajwf79z3D3XbcTG/DI1qy0Y5rTrg3qjOEFOVOPy5LVDkoV0AXg7ZhMqa7PWLB3UujyclKnsqWBZS3hiw8E/O7HW7QHnvMAU8+btEnXOSdF1rJcyqsqn3u1/i4uo9UpVsX6amOAHmPtVXivAN1STgAVrJ1Ohc0kSTkJJJyNmEiFtMbVq8SKiZrh+9/Z55FnAu74moJGnDJ1+gmlIDaSIVlMUYDc4kpjyW1L53mnsaor680kjMnkRiFfMkZ3DF61Vssp/ao9WMzJzPazTPW5FVk2Nv23aWzQ7hp06+Vs2HUVvV4PPdXyqDd8ZiY9ZicEgWdXrRpQ1s4VG2cVe4+N7x0DdsHqtqRpx2RJSZIUMqVYYdd9rqTqd0tnBcp8XXUXWEoZI3XMgROaX//YBEcWfdcGn/rd7l4W7F1qeK6AfC15UpEmY9OaVquRqkpZ5S6UWbxIrOSNEKyVxh8bEpQVYlmTLyorMqkiLEJqZGTZMxPzT97V5cQFzeGzAqvLAkuA9EhSkDMG8iziU7n0Sv1ussWCRR5oZun4nMXHpIuDUnWOjM32qcwY2pZkiyhczFSeuFjX7ehEWMLIEIYx3QGEiSaMNVprN6Ig8C2thqHmF/bdmoBlnMmL6HhtsFflSrESQNn/ri5ipFIZUjB5SXcrkz4fT+YUQFcqQcoYP4i50Bb8/Acn+OSXG1hPFen4VJqsxd6qdAKudk6qcch4UqfM6IUOrwK+wtpjYM9eW12TUtbhGaDLAWjW+SPToqbscRp8JoYYgyedq9IeSX78lxUXVwQEZboVWHTO5IU8SU+07D5lbSXBmlS+5G6KSIPMKpML6dwSWyJOS0mWZFtSDeSz5FFFouTMb7EJaSWsJYpiwsitP5oYi9Ra4gfBBd8Tt29YP0ngRwSeG6+gVOZbjwd/pcq+snc9XulX8rEz10OWfpYBN/O4Kw6JKqzBvO4kqxgc87xlFkyqOH3sak1CDJ++r84XH2qktSaZJShTBs/Yu1g1uDxvsLyTV5XFlrQ4pZ+tZauuqUXG5Mrq2SGu7yYP3EptZJmDUtbjickSP6XUvpUYq9LX3OM41ggred0Lh7zlJX18EUMcg8m2CGyMtZbYwtDAyAhCA5ERxBbifEg/xOlMwNg4d7FYijBdrSINipM0K5vfG+dbm3RdILeNr91ZlG8XPyt+N/sbUQJhZOkNYpqtaYwVtwdB7YIQCvWffulX+a533bria1a0HH3nqH8RpeWYrKCU1Mnqs6mAfVUXfAbqjAkr5a6MgbjsddsxzV0UU0m5mrnLHfE6BbfWMYk0fOqeOj/3W5McvxCkTQxFQgepEVIQSKhJN8hep2PgstniRTKnGA3n7MNiMH8+5VaAlJJ8WRVRHdLvJnXJsYQYxRyY8lYOaMtlDKWAvdz95KYU2PzyPv674yUVGMvMRMKVl8WcvqQ4fEq7hE9+NhZna+aAFOMvxn9n/EweP8nTv7P6olX1/yvnvFiTACpXuNK/NdZ18nR7ETt37qLVmv6XTzx9+IE3v/Hlbo2elf4KQvgIucS66T7tvscoEpW8vyA9IFS1dbYToVxvUpInFLq76nuXNXixsGhxlUhliipcE1mSIhm4ZSmgzCxBz0s4viD53U80OXg0gJbKJYlL7DjtnUmTvM+ScY+etTvmS8FmfshFNaAUazJ54aKslexxrG3GEj6FiyLzjF81fS8FGONWHc68cZExe+rzCmHc1CvrvPFoZNm3J+J7397load8TsyXLlV50OlkSIxgKFxwSTrCzZpyHUqhy/MalarqQYisxLbQ1TL/WbpnbCY9ql64GPud7MpZBn0Uw3zXMIwH1GodElNahGoo9yF1nc7ykMHSKbQSeSScg5ZqsFiAfG0rMNPqZcekrMfLa5vLiuY2hRYXpvQzQ1E4VZIl+Wspe6uEpa7gV/9wgrseqxVVglnGMgW3kqQrFJfHIBc7VpXAvJYtuBbwxy3wb/ZW7q6vVBXasnxJ09fGAcqkswGtKIG/lOmUwmKERRi3n41Q7rlQ7jQShqRveOX1I/7pezr8x9+ZYnmQATtFkxEpyDWxFLmDkoEc44BMBviULNxnJG9ILgJD8uSPtCW3pBxgjklDYasJoQzole6g9Pht2+jx2ts289rbLqfTHWbnKOjaFq590Y13nDod/+LZhQ20e07LZcxTjHEYq9OWVf1dcT4qlp4pvWbGtHhJV6uyWzLWlbOqOjB7HFcSOkNp+c1PNPngx1t0I88VUmXMnbombnZf4ZxUiqqynZyx+VhAnTP1mmCuzrn+ZpA+3l2fAzn72djluJrwGVtfJ3utNDDIWJm3t2UDPI0t1uBsafiBd3b5wbd3qZvYdeza7D5yutzGWOM0+SjV5FG6xVYQGdwsc5tq8VyPC3dvq/rclDR6YgvNbexq/V38vKrTs9fBnVTNOlyxfZKwM/rFidYtd2zZtLEA+G037+bTv/NL/ZbfP96o+USx22GuSWG1Ps4bDMp9kHntdJF9HO94r54A5YCxLFOqJa8yA7RK0p9niZwqc0sZg2d49qjHH9/RoBOlkzHJgJ353hJBKk3yzVa6iVQJ0M+Vvcxlh1j9OqV/880gvWhXG7MMs0AzH05ZPglKTck5qGX1eT5qIntNYdP2NmMV1ijiSNHSlu94XY8rLx8hkzgHdRXsSQFyiws6U3DHKbDzgHM82CwDtnIClH5uSwFlFpiWAsni921eJ5XtDyHcoTZGcfBI+/jP/Nwv9oXYVwAc4GW3vZFXvfatbN+5B2vjHKAVt0SVgb1GYmaVc1ICb7n7pvLcjOnrMrCLk0CW5ckaqXjtJTxzzOOHf2Gapw4HWE8WsiRncFmyBW0+yGd8pYa1rMG1ZEolsVMKxAqf8JuUK2NBVtUXH7cLiyW4K4u4lvo284FBVub+uC1NxjJGpePfFInVmFBx3WURv/bjK1y9Z+RsiQzk+RalYE/dldRhCY0DeWQEkSUFdxnwazB5CcA5m6dzYMaZPmPrJBk/SWzleRgl7N17Oe/81rfx1rd+S74/dfZganIa368z2QpoBAm+T2oVFkAu+9yIbPRDpqXKvnc1iCx88XJhVfa4pL9FIVnKj5VMEJn3rQpgyzShoz1D10p+4xNNHt8fkKgSa4ui3gRKtmAF1OWKxoKVx+cOrhoLUQF7wepfp/xkTXlSwXgpi5n3aVZeLzP7WM24dXO7jUldG+Em05pMj2MxQqbHUTo9biwJBi0sN1w54h+/rcdP/BePbixcSjsrIik3UxpFIgRh1sZmhBPF6b3FNSNnCf0idsgaHwpdXg4cc31ezqeUtHbek4F7OymzhJggsgapA9atW0ev118NcN9X+IF3ZHoqODq3Lthjk2E+s7qa5KGUTi1nNR1AKQM7+6AZeEs1J6IEapFJGmHcz/N6k6QE+CStR0mQIkGJGCUStJfQN/C7n2zysS82GWVgHmNuhLPo8oKq52DvSoAzztiiAHY1mVPEK6uR/Y3kyTh7jwGjpMOzA1tl9LJksSm4JTIFvLACkdaoCCtd0Gate2zSoNNaksTiC8u7XtNn/0nN736iRS/C7TCTXuuz+xTCiZHkiyenqXpXI+OcECWyWpWyq+LKZAt3pQB6VlZr88KratY83/UiLXo0bgJESEKr0UCq+lHP94/IYZjv01yiTM1s4ezxe29vNJofnp6aIfBG1PwEP10BWFeCvrHJUpXA0eRgro5XW10Gm2vuSjayKHkdlykZuHMHRcd0Q/jgnzf5fz44waVFL6/tLteauE2U2NuuylaumtlSLv9lDOzl52sdgPy1bybKrBZa5a9VnoqU0asBZiVlnyV+qEqWsrNS1eWqslShGwGn2Dhr+Knva/OP3talFcROG9ikpMdTqWITsAZjnB4vyxUnT4rkT2xdMFrIkyLArASeZe1tS4GoKYLXTPpECYQxjCLoDQzr5uaYmGh9+C8+d8/tu3ZsWc3g7uh4oOqfbdSTt2rs9daG7iy1YxOvKkFV2Re3xSVGFq/JsfuC0U0O9DJzZ8Cv6O4SuLP+Slmz/PlnG7zvtye4sOSBr9Zg72rG0hOlLiIxts4OJUCPM3fJ566k40s8vVYj7F/mVs5oFuAX+Qtrp+5dqtxNlRJuGW1RAFvYwhMXImNt0vtMrjgWx2ii0LJpOuGnvr/DYkfy4c+0oJbS6yomdzeDJMLFBb4oFV2lmdiCwR2bZ6onrxeHfDrWqitnJlFsdccWcwgtSJ9hrB6fnqx/tp3ag2sC/LKrXseRh//Jvc26eLiuB9eHoSCMPOJEYUSxrGAZ2O752pp7LYCXNXimvyvgzphblIPOKrilTFCB4cgZzR98psn5ed/53auA7dYYFKnmzpwTnSYmxjt1yo3QOZipypI8eEyPRFl/f5OqJAfz1/15qfAqW5vyuZYNcUBK6z8yYGc63LjlQKRwzcqFNJEIkxZimUI1G6GIQ8umdQnv+ZY+9z/hc/SsD0H6xYxdE+QWlxBy6Es1OYXsUtjS46xuxeZFWHl1YAZ0WwV5mTsylyVOBP0IEqU5udR/+Oc+8IV7v/rRn6vsx1UTUB48cSVfO34Vw9inEYzwdFkqjHXZlFPp5Z+nwC0sw5LnLcqJG1vphM8zlKIILqvgTrvifcPRc5p//2tTfPmRmmugrHjdZe/bed7ZGAgtV2vttYb5VH6nMrhoTKaQdYWLHNtVmVJlpbVckuysqMxJseP3hWVYXdemmJtS0eSloiyLu9RbIwuHxciSdJGu0cW6abXGKMxQ8OqbhvzsD7fZvSV0msCW5UpS1K/YJA2Iyw6LSP3yMcmSuSsln7xiCZblS0muGDNmIxoIE1geSWbnAn7oXRt47zs2rCIKPf7Cq297EwgdmoVjhCvzQB1r0kOZs9tYun5V0Fli6SyQZCzATEEuyo6JMKlcKYO7kCpSxijPcOKS5j/8xiQfu6NBKNLVqHLGrupuiWPvos57jeW3x5oaKv52RY6Nae4yo38j4i7/cIy+M8ALVmtxd18qmc2el+rE3cliUxbPMptFI4Q0DuRGuIBT5JlQmWZFiyg2kyyxsdR0zLtf2ycx8O/++yQnL6XOCimDZ3ouZ3OVnkxFij7r7TQUzkrWFZQxdzHSjVKLZHkBLbv6OKRkMbIhm9dv4mUv+nvhKIq/McA3rJsB1v/Y793xwqto91+5Z2OC74mcqQu3pFoiy1rgzlPzJv29cllsFdgi1+NJxRqspOF1wsl5j5/4qs+CUwAAK6pJREFUr5N8/M4GoUyXXhNrbeWMZWl4faq115QmpZ2ZVwqOg10Ufvea8uWbCSzXuI3julwXvjptnzG+zVvbxBh7Z6+JkhbP7MMC5Ok42LT1y6TgzlKEcQyeTviONwzQCn7yv05x8pJPOoe5ehK6N8ztWIMgwjGtJwVeVuOefjeZxmqK9LNLJ0/ylD1V/Z1LYFz85CkIPMNtt9T4p9+1/SvW3/ljynZW7ddVEkWIDXzq01/srGtuONhub06WVmrEsUx/VvamS0Hic3S/ZxJGCFt1WEoau5rgKRwSUZEpMVIlnFtS/NR/n+Tjd6wB7lW2oNuJnqx26azF3hmYy5V8GUuMa/EM0OMBZna0K6D/S6B7PMAc98WLFwUm/10H3kzuGKpD9O2Yk1KZc5glhUyRAMpS+jZNBLmBnhKdwLteO+DnfrjNptmokCilLGfxvOSwpImfMHdYXNltnCd8xspsU3mSyZDVaf507op1VZ9zLcv2qckEthzsnftS54pdk98Y4GRniOj+8LVX6CdbDVMaP1wMl69kKcV4RtLmcsP52+Xy17K3XZUlOehz5s6G9RgST/Dbn2rxsS80CFUZ0HrsfszzHstYjuvuqq4uALrWeIiy/72Wvi4WzhV/WXxXs5mrkjpV37uc1s8tQVYzeLnrp2iSyLR4ObNZzXgmVuX148YqTCLRieXdb+jz/W/tobMhJGuCPMkBjnWVkbGFME3xR9al8iObafHVlmFhK4pKaj/T8pFJA8xQcm7Jf/Lshd4PJ2btPa7XevEtb34tJ5/9UGLtFjt/9gSCCE8naTdNZqWQZ5ZyqzCVIZVkT6a1RWENZvKkcFGyEyHLWJYylcqAFtx+b42P3N5gJFVKtWVAl9ibwjUp1tUpAZoy0DNbMy0FHgNtOeGTfeWy1i4DOvuFVWWy3wy4S79YkSklVl/lmmTMb+2qE8AYV/TlpElWUlti9RT4hXxJeztxx9DJapWe8MqthoYlEIZvf32fh/ZrvnBfI9XY6QfO3JVV384C0jGzILcztXDJIJv+CZVemfIVKGxGHCLfKUKQ17lY6xyfTdv22EcODJKf+pa//80DHGD99ldi4sFH+isHriA+1dTa5AFmOZrP3rgceFLR4GVgVwPMjLFFztyFa6JkgtQGoeEv7qnxY/91imePBWnD8BrALgeWIstWjgeW1UROdRyEZTyDmYG47LiM65ZK6n4M1N8Q3GNpzNXyRBQeOOXAcswTzzrYKw3KtnJfBTRgUg8cZyMKXCOksNIFm8JijHI8JkBY1xp27Z6I//wv2vyogs/c03B6XKWf2mTINOl9dowA4aAbpdlHk34ng0Xnp4F7rZzFLMsvN4jKrZodGsP2bet6b33DrR9pNWr81L9Yex8/56Dkemun7a889quzGy5fqNcG1IMh9WCE70XpCOJComTJGyGrAWZFipQlSeW11P4TMUWNt0vLCw1/fvf/196Xx9tR1Pl+q3o5+3K33OTekD03ZCNACCQBohEIy+gM88Tl45MZnxuOyrj7dHQUHRfQz4wLLk8dXOCjT0cYGUAEURwgQADBCCFkT2725Obu2zmnu6veH1XVXdWn783NRgBffT7nnnO6q0+fe/pbv/7W97dUBp/4VhEv7JLgrtO6dUsuSp85RIzccGUGxb8RB/U4dCNJVUH9Q28k9mJcrZuPsz0Wo6KUEv19nK8bLnugjnuHy6DofFzn3pK6GPKh2q/CbJkFVqOYP93DTe8fwGsvHhG8QefkoZdTPeuURQzAQFKUmkZZjIhCjVoFkq5UAoJ+n6KnRtBdA3orBIvPOrP7gcde+Oa8Oe1j/tRjWnAAyJbOBg96kAruQ9Y9jIBZGB7JYrSaDn/kKD5DkwNDeTCiJkTzUobgl4oJIYGkKQEsGXMCG7hrbQb/9O0int8xFrhpZCWkpXVCalJfvEdl4cRTwMYFu47ZmISYEDyooX3iPJzHLk9orbX9UVyKsOqhp9Cw5jxSVEiSNRc8m8jMe11lAafCsktnEJPyDCFcLQYfRsmgBiya6eFL7xsA58CvDUt+tFEt/MUBF0t/B/IHFHuiJQqVVxnia6DKCUa9ALw6Cvg+iq2NWHHuXExpKY57xqMAfEZ1+7a+9/z6D3N+uX6Tlzt7to83rvJASTqc2ISATtK6Q4tuTiSJ4t8S3FTzVhIqOPe9j6XxyZuL2LjTTQY3YtabxmNNVAKDVqICpvWuoyTGhDEG5jjYYSY+qBFgvj06xFX9xzp6ggi4ar4T6uHQ6YfO0SNFJbLyPKQlejaQIRsqdUUK2+H/QEXstWAvluC+am+NY/FMDzddPwDGgd88lol08XHBra6d+D4BBWoQY8gOJ3YwPJlU/hYZZwR/d2kXFs+ooqVt8vD0SbX3tE46o3rcAN+w+TArl+Y+1dHxxoHv/eLHuS3bK2jJDWLlIgLPF9q44eQx3PKavh1acI1zayBXlptYDNwiuG9dGh/7RhEv7HRlfImNehe8CW6qgVuXA+vjvOMJvNFkMx4xaDobEFplMyRWS8cdi7fEtsVYiLaDhOY6HkprTjo1cOuDgWkfIfM4CeJAV/Erssah5OIiOERYcSa9MEQt3yA5OYXQtdW3IjUfC2d4+Oo/DoBzggceTwuLnDjZtGL/tTD3nBH4FNp0Q4BcpbhZhMOVZeGWL6J4w6oiWhsczFz8twPZ8qynWG3fOOsCjjPeAGDm1HZMndx4JGPza95x9Tneoqlp8GASunpz8H0LTFYxD+U1HdzKS0l5TALUs3CCCNxUgPvBP6bw4X8r4oVOBW65MoFBS1RdOUFRCCJnTsS7uQHqeBhs6NhBvSU3QV6/LcRurJ++/Vgbjz3C7drGOgcnNM0bpivf0MO1fuFKEbpWXldvRZMRmfnMuRVp58wCqwELpnv42of68eplFVhM1oKokw39+m2QvFzJgIiiDRVqKQFSFkdbMUA6yOCZjU3oC1Z7vQOpa0Caj9DUtHF/13EBns9b2LGjE/PmTN934fnzdyyZV0baAWqe+IfV9SbU5Nih84aMNbFUcSe+oCUWA7cJHngyheu/WsKWThdhmSkD1DSiJVDvYVITxLNzdO9lkvUei7LUl11LBLQO/PgIiLocFdxJ7vvQY4k43yYhH49LiUzJiCGgo8lnCHrEY1mi7B+ux6wYq0pY2sQzcgSxwAKvEXRM8/Ctj/bjkvMrsAIN5Ea8yliPCOQeBNB9HkUDWBRI2xzDIz4O9+WRL8/b0dwyfV/Xob3C83q8AAcAy7LQc+iJzsai965l585EITsaC8DSimFKJw7RpT9qOm/E/kBy7wCWK8D9+6dS+OC/lrBljws+5oRSpyUmuC2SXM/7qGlnelB9DKOJk82YJTfBy41+Yv/Y8OZ1L+RbzYzrFCQ6A4+Az8w+IbjVIEG9RWdMBzk1rLmuovDQu6k8nxbiicxMOoV4laDjDA9f/3A/Vp9fAfVloLgRoMWOCnKficTmGldFhuS2gKBnwEdj6yzs76q865d3re2k9KjwHZ+DA8CMGWfAqw3DdrIHuvayR9zg6Ysp+uA6DLYtyjREk0Q14Yy4dkRZZOAUCUDkayvFsbvbwuPrU7jhewVs6XTB3TE0bmiKifTKUCAquwbUZeck0RQjiSGWMZIkFYYo1ryZYVFNna5og0P3hen7x2shpnn0QVzj4yFHjXFwMUElWh8e4+KIJplQWrl04VPF3dUEU8isUQiACLvllAruLbOCBJ+X4JJcghKAeAxnTvfwzQ/347PfZ3jiTyns7rYBF1FfaiX856rRMOxWYF78atQHWMCQaSqjY96Zj1y5ZuWBwaFRFAvZowL86EMAgOPm0Hfw0W2pdPGbTZPnI+0OIy01ccf2RHF5Wm+xDXDrlluCe8t+B5//ThH/+NUSNu8eB9xxkEuAWSGwuVbywSx7rAdXKVBORD2ps/aJcSbEUFnqzHp8exKw486e2GWPT0YNa62HyCICtBgoZjyKWr3aLDmh829lsaOsH67xb67p5UZGUEhdIks+b5qHmz/Wj39+3wDmtntAVbPecbc+uGbZhXsfjCFgDJWAY9An6PUIukYYli1diIZy4Zv/df+T2yYCbmACFlw1Nzsb1G54qsD67kyR7VcTbyPSKRkDHOg355iSkmS50xzb9tv4/HcLuON3WVQCIiaU44E7DKgiITUxltmu49sasDXrPdY2M/w1Amq4OcEHH1EXgqOa6GNodaCu80wKC636mnKiBDBkmeHQsqvt0CIPpWICIjyVEvQUURKzOJFSXwS4pcvRTHpQs0ICUJ+htSHAW68aQcrl+Ny3i9i+HzJpInac+rnrRrTwnNa4hRqAlUtnYfl5HXeuPGf2Uwe6Byb8W04Y4LnSFLDq1s70pAs/0D/6uDU86r7uYG8vmsscxawNz3dC7qeDm4TPgZh0uhzb9zm44f9IcMMSnpkJgVvwbqrUEkTc21gMK86r9WcaA66+XwLZiEGJW/gEro7Y50wY7Typq7jahlXWwBx/Fvu1Cahy8OgURNPa1ZIoRMWx8EgbR+gkUtVqGQioXI9euPAp1aRC9d11kMv4cF5lSFkc11wyCnDghu8WseMAkuPJ4yAHB/FraMiPoqnAMOy3oK25dPfVV17wgQ1b9+8+78ypJx/gAEBTc7Frx4O706lVG37w4MDr/vOenVjcMYIvvqsfjQUeaqoCCMq5Iyy3RQLQFMeuQw4++90Cbv9dFlVYQi3R+fUEwG0ssQ2Tb+s5lmoSWV8ZVmn3CPXWJHlQB3cdLdEhGSfbx2jNw8Ap7bU2lzR08VA9kQDV93PdYuveUGPfGA4gORhERTMqHG4yeYJIsAt0ayBXyQ5xkEP28TnSNsMbLx0FCPDPNxfReZBElhwI7xCAvDOAAIyjtaGKm97djTlTfeztOQPN7WdtWPvo2t2Xrlp1TL/tMQEcAGp0Kqa3TbmpyvbNKhbtNzUVtoOiBs+zAJlTCX2yKdWSGid45tkUvntHDr/8XRY1IjN/4xPIhJxKhSCCSOs2vJV6VGBCnmWciuiSoA5uoB7khkWOWe/4RFPH+LG2ENiGxTbMWmSJQ6AjtMB1MSqcR+vHAxFdkQOJcQJLufaVBKlWb9BqrHCIovoUYiU3ITcS8Z5BRAcmgJwDoISB+4BrM7zp0lGAAd+5PYc/bU6hyuSS2jyQ11/+49QGLIIqYzjYxXBex2TMnb3wF07zWTex6u5j/l2PGj0Qbzd//Wbk21ZX3ezUe5dO2/uqJTP8aeUiZMx0tLxImP3uMIyC4NZ7c7juy2U8vSkNj8QzcZLATTUnj7DeenaOTaKqsFF9QW5QFRGHrlMX2UfFpFBzEOhlkY39lETJEPI1ka/FXUCl80UFd0R/om2L9idp8PGyxwShEhp7bx4f0SlSP5D1PrFt4SCN3dkUTYt/pj6YQx+B/JBoTh19cLjSphxkNjjmz/LxP1ZX0DNAsWmrDS9cmUpeZ2oDloOsTVGybfijBdSCyWsv+6uz31Dp3jjUOPnCYwb4MVtwAPjYdWuwt/PPI+BX1PZu+Tlq1T44lgPLCkDghTHddirAMAN+cncOn/5eAX2Djlor3AQ1SD24SQRuoiaVJCHWJK58GBNJDRxIuNhjXHRoF9O02rGLGXUPwVvXxjDnEZVQG+r7cmMbSaAkpsvepCGxOBWi0tig9Vfx4wChcpKpvgsXcUbRRFNso4jTFSay9iFW56NAaMkJSLgKRBAIg9NcCPDlfxiARTluvSuP4RoRaoElbK1FgJzNkaYBqFPGyouuqK17koysuODYqMkJARwAGptnA5w9aQULV3TvO5zxAxkXRuRS2raP7Yco/uvhLL78Qw3cVAbcEDIGwGnsgTDORK9GFV9iRAXK6/Hd9e53jXvHQT7OcyIXJxHox8MzGXNPDMyIg1Tbrt5zc2AYsSlycqkGglhqJPJuEi4JT4KyospNiOhQbWU3UFDGwEHBKQtFBCCBk4vekq6ISCmlVImfiYCSANxjaMwH+Jd3DyDtcNz9UA7buojABGVijkU5smkbFyw/Z3TB/FlPWhNw6Jx0gGdzeXDe9ynnjEt5d9e+DyF4Om1bPhzHg5vy8MRGGzf8oIiHns2g6ttiMhnGj+i8Ox5rQgxwW0Tn3UgGt863EbPeCsw6cHVcJt529b4JLvv4j5E4yZw4E+eADFVNOEyfaOr7VNis0T+aWHIeOzYOaoaofjcjYGF1fRJG74Vr8kjdHIwKECLi7Qw6yLWALBmIJ94L2sYIASEMfo2hIcvwpfcMYM3KKj73gzLWPU8AYiOwHFQ9jvPPml1589+s+rrP6acbioXjBvjxDw0AhJTZnq3rbigUJ32l3NhYy6YHkHIrWLfRwse/3YDfPlFA1U+JhZ/UoqskITLQmFBG4CZETBIcmA6dEORIiAak2nvoQNcL9SORWya63zV0JwVhxbqI94mhgkf7MeuBHYbAmpsNVzxATCrC49tjSQ7QKEro1jcdPWbgVbSqcn1AllbJllFjnxGoJeuRB8xGwGz4zIHnO3AsC5efX8VN7+3BioWDgD8CVhnEGVOba+1trV+5/7eP39DSUGBH++nGa8dtwVVra9lbS7U03bjhjy21Pz6X/3y1MkS/d2cD1u/MAWlbU0F0cqtNLMIJhqIqJKQlNqK8Sj1Qyog1gSkDqsqkZimIGJh1wI7HybWAq3jcdx0uCca37GM1fvR+OmWJW3KDT6uRxQkYZ3KCx8OFU6OsH/Wam4A39st4F2MwyKVSKBNKDBOTaSCy5MLICOlGrPSm5iciQY3wyKYGAYPlMaxc6ONbH+3Dt39VQcopsHxj9vM9weR/6z90qIYTbCcM8PSk6/HLu346ajvn3Wnni5+75w+/w5+eLwPltAC3rn+F6r4Cuc7Fw5lJCG6Dd6uKsBrXNhQQaPEmGr7UIKgHr0lX4lJh2DQEGxabxPfDAPnECUrUeOwRblR8XII44tK6RIhINgSXnkce0RKigZrE7gRarIvOycU5o7V4wqptsjQbRbQNgGThAJioPyhoCgWF8HgLg6Hn9IpzWB7DufNHsHpvFS3Na/i8WTPvHBndM7rwrLedKDxPHOAAcP5ZszFt+pSt6/6Yee8ZHZnvOutfoNS2wYiICOMqkowFGhJik0m52VK0hMTiuqFn5yhebUYNxl/XeSCJMbzEKUnEs9V7BdA6ClMHXGIcE+9E9P0xqxuCNukH1fRu9TZuxUOJnKsTKODoAI4Abyon2nsd2FBliWW1KRoNAgVkLv8hEWzFxUrKQFhVmVEKok04KeWyoJCIAFOWnzELvopOZAQ138XqZSvZYHDOe7ur52xN2Z0nA5onxsFVmz5jOe57ZLC2/Lw1t9i04SMXL5iEVtdHswvkLAJCbHGqED31SonSueuKZMYmlTqQTQqi1TRRz/r2RAqSQFnigIzzbw3QdUFWx8O9FWbHiK7isW1m+Yj6beJ9xK11D2lUY0Xn3uZzGKQFanDuMMZFDhojmEuF4IbPUYCW4ubRHQHgkpPXPBejlQz6BtLoHpwP22r5yJlnrrll6fxdtcULlp0MaJ4cgAPAlasWYefuQ8FH3vnX2z/6jpWDFy9JoeTWULI5LHC52GgQHRCTAUNwI/JURmGvCaAGN0A61mrESdvCrzAGFwdM9cS0+KbVrqfmx0FOeOLL8I3ivwhlwJikKPvqmfaQ+4VqFwHUzNesfzAOo3KWydljRT3DuHF9m1oTSAO3qIgPQDgCHUd4L2s1F/1DFnZ2TYKXuWpw0rQ3b68MHwyIdf7JguXJoSiqFfIZNDd23n3lZYvfR0jl6wM/Wtu499AQGptrCLwhbN3vwmOuVFOiyaRLEGXiILLWYQismkgiJgNCPfNk6hGfQCJpAJA6qx03zEnOH6D+NUk4ZiItZBxCPjaoRryf6qM4iqgjwmX5YY2mSJ+QmpQasePSLR4P6Ar9SOFcVX6OdADF16dUYymceErnEIFYSULp5KAQtIVyMO5h216KkUoOlGUAq4yWM17TE2TP/uBdjx65+6rlzScTkicX4C1NJQDAoa6B25Yvu8zu60/f9Nz6R1quuGAzCoXDuOqTzTjQ5wjkIiqMqSiJroiMn2YWC38FxrDmvM5KK2jEuTX0bQmDI+yTwMfHwPsYG6IWgXWCfYwJpwlcHchjTSyJzsfjx4ScXNAaRmSFWuiDQwyp8Ltp/xyTBT05Vw4e5WES14FDJKn39vu49sYpSNnNuO6qVlx2yUVds+Zd9L8D37ttydzZJxOOAE4ywFVrbSmir3/gR1etWUnnTjn85RLZ3kIsVYVW6N02BTJUeK30GhhABNzkyWE8HY3H9pv91V1C/+zoM4nZPzxO/wCxox7YJJzEhvM87RzH2ogG3qRowvgklWjbDcBCU0JQP9kUxwn1IyxED31gcHkOYkxCoRxDxv+t8yESvePidxUTVUXpuKQswMCQAzAHVaujq33GRZ8cGQl+lMuPX9/keNtJ4+DxVi4VMdr9m1vap9gfZ06559/vy6NvpATYLhxKkaNA1uJIUQ5XrRWv0RIkgNbk4AmDwHgkOXvM97qlTpL7DJwSJFpvxPoAJg+eKNYNhUR7aYA09tkIt6syetE9JaobrhXmREwalCeJZwcB5nvzWBIeE81ytVIUsjpWEFjwA7HYrBfY8AMbNc9FPpPGtWv6sXhBc0+FZT/+rZ88cEsunz9VMDw1Fly1yTPfgIOHXvipQ+Z/orP3/kZYO2DBQs4CcpYANpGmK+A8LKkLxR9jyoi5jLipnBhA1raF8d56H7nFADpir+VBJkWJr4sZ+2z1PllIH7cZobDQjDbXPkZZ2ZCjC85rUA1oXF7j1BHIJa8mUd0USMttDhZTQ1d3BxGYFa2tAx7RQF3fDlTVBcJhy8qvFmUYrnBce+WCwckbW6/vH+39+Wfe8/ZTCcFTZ8FVKzae6ZdbFrxjxeL2a6+7elLFYT4KNkfW5sg6HDmHI2WLkFd1MdQs3gBZEl/GGDRGce8kC65Z7vCzDH5OovOGZ4qdO76JJPc7oVanrJAx+yRKiQqscl9ktXXLTOruDroV18tSmKeNVB2NxQljxQE/sOB5NipVB5Wqg6rnoFpzUfOADfsXVYb8ee98+2Vtv/j7V6dPyA0/kXbKAZ51CN+58fuPXv/23v87p73trZctnVah3EPW4SikOfJpjowt1vIJZKmAQAO5+bOOMRFEDMDqR5d/SN1rUmd19f5x6wyYn2G0pJGX9HqsNpZEGO+mUQpD2w7fkxDA6uS6m13RlbicGFKbsHiQKQ+G54sdw8MfSeYBaAuKMUZQqdkYHnUxPJpCpebA8zhq5KxKvjDzrV/4VeMdP/pdVzB9wVtOGs7Gasec8HA87fs/uBduw9/xD1997qa124Y3px36V95wr1PKERQyBDblODJCcKRKUZPrySiZMKwMS00t3CJqqcIYP6cJUYZ6YkOYiBBPdjC3q21GjiYlmrOJhPv12JUoyQHG6/hzVI45QfaMUaOku0/Ul0R3pNiAD49FtD/aRhLufPXH1N0J5XeKVsfj4WJijh3AdQLUfAuHe/LoG0yh5gmPZ2Pz1JFCafLfHxx5xx1vWflndsWat70Y0HtxAA4AD953O3oaVmF1atNGq3n6znyGXGpjJN1cdrBsQRXpXDcO9PnoG7bBqAWbEDhURg+Gz5FMWA/Oepd9PbBNgBnHx8Cs+uqADgcTNUFN5OcTuWThsQA8/l3GeiBpWxyYIb3S1SGlAEUpGkl5qKqvArPRR8V36+CGyo4Sq3Y4doB0qoq+oVE8vIHisWfLAHfBuYWm5vb+fHHadbff2/CLq1Y8hraOd75YsHvxAA4ATz54B8664u1Y0tG0YVJz4/75c6esKucq2TNaRvHmS/rRmOvF75/MgDkuXEqQolxLTUuI/dZArDhgHNjjWe96cBEDQGGKmgb2RKtN68EcT1EbD+CGtUTs/IbVJiaYY8CPq0J68VC5aXwrXmepVRQgoN8dIosuV7S2GBzbRz47jC/+LIOb72xHKgBKxTLmzV/S3dTc9sH+0YafLp7bh2kL3vViQu7UqihJ7dMffRsAYHio71bLtu1NG566ceDQvS0p2xelesHD5SsEoOKrM3DjYqprNpYUaPLqmPvduAUn8HKiqybje2ViUvWJzzm1yEFjszb51vXwUDInCBMoImWFhM4W5fWEpqjUa+Hy3ET9byQ8h8xlAKMAYRSMslB1gYz6HBnlsFMFrFhxYdfFF6/4hOd5tzY3Nbwo+Iq3Uz7JHKvl8mUA1g/nL1rxyQVLLuryKcV96xwwy4WtWW+HimQgsfx2bJkRmBYFSAa5rpcjPhD0z9A2xD2YYyE2CfPHg+2xjuFjdDYDrUjYN6p0RQxVJA5kxmFOKFXuZeiwIZHeHR4j1o0PGIXPKIJwnXsLQWDDq7q49JwBzGwDrrhyddclqy/6pGPRH54ucAOnwYLrLZ3OgPPeWxqnrPAHRqtfO1J5psFNjyJFOdIWh2txOFYUeGV461BvNZMmR/rtHYj21wEa8Uf0yQT1AAwneAmN49hBPu4xmkZOoOnbJHqvy+WhdQeM2G8oV3oYs6JZcWJG6yfdkrgsgM8Asfy3BYBY4i7rWxipZLF88RR85n2X9y4774KP9Yyyn7Q35U4hgo7eTivAAYCQBgyOere5xct7li/zZ59d9b9y9/1POCkKuBYNQQ4I+SmAGewTSlm0Piw2ilMh9RRGnR9J4CV1OyKGQsZjKtGHHmsbB+Gh80bvpuhD6NQh0mmmbVOUREFaxaLI4+vyNGXcivg91W8hvgEBwCCsNwuIPF5Eh3ImuHihZZVHiPvx11+xajux0r8mJH2qYDPhdtoBDgCFjMMeWLf57g/8ryvdPz+7ZWRqEd/5w9r1pHegQgsORcYRBWqqHuB5YqEiBWAApoyV9EDE6RMnZjAHgPzIOnkt3CHbmJg8DhPOj2tQKKusQA4wgrC2oPoqyvqLpAXlmZTA15OPZfBJ6O3UlqMhRLji/YCiWrXAOEEmReA6NXgsz2jhVdzJz35/vmnOj/2R3TUnd86LA56jtJcEwAHgsuXz8NQzG2tL5ky6rWRX//tgz+AbDu7v+sJo/0E0Fmz4jGB/N0fFF9aGErHaLbEiKUgHZaS2EE3TTrLeJHGAmE0j5MfDP05BMyhJ+LWIBG4UAKZbcRUeJTJtxBJ+Cv0qZ5NBRBESaCtUy/VRLc7geRZ6BlLwAoJSjqG5ZTJKDU2fqZAFvwxo257uw0O15taXBriBlxDAAWDZuQsAYPQTX/nZlr2YeuPly0tuf2/5U5WhA1Y6NYRtvaM4OJxHziFIW2rd8siRHdeVDXAjGcQGZ4fGvWN9jgXUx4X/Yxg4RngK117r5ydRoSAV50JCy07AGI9ArpKFtahD9f9TKhw4ju0j5XoYqfXi6U3taCyV0bRwZlCj5S9O6dh+4+CB54Ji48pTgIoTay8pgKt248ffgh/fdkfwtmvf+tlDh3vsXVvWfqRs/zaVK3Xh8z9x0McyKLsC3I66eCTSvUV9IVKnNccBlORAQdzKx0E+ARAej5E/Kq+P9w9PFFlmtUdUkJXzDz1eHPprEgJbFdFUg12kW4rJqEUZXNtHJl2DYw/i5w9l8dTWMt7/pguqF66++F8LxcbPPrPuTpy7/OpTAYUTbi9JgAPA2659PQYGhlAoVD/VWFpFWaVhxZrgFnrvM4UVf948ZA8FNlIBBXHUyskC3DaJ1RIEgLi1Dl+TGPjrs3uOux0Lyo/zXDzhjcCvBD1RhYCEeRYWX5lqEfOjageGdwIZS6JkRMtisKwKhkdq6K+2+dsPNzz+oeuuYa9aOuvxnoHgU8PDQ8jlTl2464m2lwCbnFj7zg/vAYdbsGnf9/cfeeGNt953hNb6GaaUCNIuh2sBjg3YFgl1cwVUXcs1PZWmd7Ku4qx8QYAoN9q4M8ReU2KEA1hUi0sJC3uqfdH3UK/rQg8or6NdasKn6pFEAzJSkdSx+rOK0VFNjxIUsT7KI8nh2AyuEyDteijlh0DtAH/unMPmzFj4H22TSu8eqdQGZ85//emGxITaS9aCx9t73/5acL5pEJh3/eZdU7d1Hlm/aLh36OrO7dtAYYFSCosCtiUeCjSquCTTpMU67TyByhjUJOnACbSJpKSR2POxtihUNrLMYblkRPw7fgxTy5rI/RYFHC5yKy1GUKsBvsdRbpqPXMG+cxJ7zYYD1Tnf6No3PLjmohkn+eqeuvayseB627RlNwrF/PRnN2z6+rPPbbn60Sc2oKdvAMWsjXzGgmMLSykuJIcfcHhBVMfaIqKQliWpjEW0ksi6ex5Qab0xnk8mZMGpYb0lbdLokxkENgELTs2kDxjfU1eQpPW2OGzKIy+wJUY5Y2IhXz8QnkmRH8zhOhwZ10PGrSCVKaHcsgjNrR13Tmmb+8FqdbgzV5p+ui/9MbeXJcABoLv7CFzHmfPcCzvOOtIz/IE//mnTqh3btwD+MDIZB8IxJDTzSpVhpMrgBwLUytJbFpHWPgqY0h0oyvERBiZpEYl6eG09wPX+ZGyAa8+GCqRHTcqBZ4WDgYf9Q2eNzqE1imJRDtvmsK3oQSlHEFAMj1oYqVIEmiW3qIfJLRl0dMxAuXn+w4wUvlFqnPUsC/xt5YaG033Jj6u9bChKvDU1NQPANs75NgAbKlVvyqtXLvhe565tc7Zvfd46dGQUjkNRcCx0Mx8DfaJ8WMbl0GubKLBaEoRKZQjAwzQu0ZmHcRq69VRaeqhHa0AzSzaYXKFO2YlNbENdW5s9mnmm4jWTCcRq7UtADAILYrCpQChKAcdmyKQCMM7RM5BG76AN1xar4vUP2Th7ybnBvHlzt+XTw9e1zbjwAIAt5Ggc6yXeXrYAV01egC09PT1bgiC4vKUx07506Tm333nPfxd57XAOrIJli0bws4c4OvekMbnE4doAtImbRQlsi4TUgzEuFujl0msKLieX4tn8AqgDJyBd3oRIXCtHS/y7m4cbfB/R4NDnA5RqyR7iRPA5gR8AARPueosKPk4pYKlMHggLXi6MYvP+Ku55gmD2JIKWpjzOXdA8PH3OqoFKlV/TMvmMfRa1Ol/uwFbtZQ9w1RobG8E562xubt5z6Mjgwmv+5uLlFPwHe3Zv85syTza66/oKNUYAMAlsuXKEoio2hWML1SMIODzfR+ADHpMOJc5BLGI4U4w4b7k9nPRJL0wY6AQkHGvGhavGAFAZm8ppdKDqb1lcU2EIaj5B1RMgp4TAsSN1RtEs3+cIGIdrM6GTO82Dy5Yt6unomGM7Dt41d86MdbCK/UHAmW2ftiDTk95eOf8JAEIoCCGslB7q7ZjVdn+hUOj4w29/M3vGgnd88ZyFr3p+waxJ66e1lStNDTl4XhDya0oB16HIpCyU8jYaihY4IegbZhitcHg+R8BUXb7wbJp8J+VAGV/KORd3Ae0YPUnXUG3CbKII5FzlpWqJwYDi5xyWxeE6DLmMj3LBA0iAnn6G/iGGkSpQ8wE/gAB1wEAQIEAONdZYgdu+/oJzVz//hY/+zy/+6vZ7Z+fzhY5sfsr92/cM9RJCXlHgFlfpFd4OHdyOlGuTb932OKY2paxJTfnv9A+OdKzfsPOiylCX5XkVABxph6NccNBYAloaanhs0wjuX+dicgHIpYFMCkjZFI5D4NiC0ji2nEBSVTtbWEldX6YWkRSICo3eJoaUaVlRJVwuJ8WBnPQpr6xji4hKxxFKR9phyKQD5LMemsvD+PU6G089l0NLiaKQpchlCBpLNlyHIptNYc6MhiCVn7WWWNktlA+8t7HYE/D8ZQD3+Mzps073JTql7RVDUcZqrZNnAxE78A8d7nu3m3Ibzl/W86VHHnrQ3bajM8hmM+fmM9ZS7nejudSD2e0DsNIDuP+ZSegfSSPtiEg6QJPipCLi2BQWJQg4UKsFCBiXmUkEFpGRpwRhDIj6DEqUkiPlQAABAfyAwPOFpGlZALHFRFI54wmEEuLYDIVsDVWvFw89l8X2XTbmtnLMn92A1smTUczhad+vPNPQPM1auHRVrdzY8E9+tdbrpF+easjxtlc8wOOtdVIZAHoB/AMAPPbYowCwyvO8NRYfuqYh3zuvnO9GU/MTmDPdxs4tHNVaDSmLgjk2CLENWdB1KNIpMQHt7ueoDAfS+hIwSsTSK5SAWzGtmgou7djimUrBZKRK0DfEYBGOdIrCpnpmDkcQcNRqHnzXg0UZdnfnsK+rGa951RLMmZLGzPb85tbm0u2O4/wW4A+vWHnR6f7JT2v7iwN4vK1ceSEAPDw82PswQB6htDqbeYdZ5+adbPHcGTNXLZnyif1796BccLBv/0EMD/XBtW2MjnJQ4sLNW2gpB8ikh7DnsI+uvhTyGRI6V+BQ2FYU8aicjoL3AylHcGqbcuQyPoa8KvZuJcg6DloaHGRTBGABBoc5ijmGhlIJxfJM5NJVlFrb0GzvurF9ysjOa//2Qjq9rZHm0s52APc3Nf9lWeqx2iuegx9vO3ToEDLpVHn7rv2rnnh6I4o5y7Pt9IdcB5dlUgRDwx42bHgWhUwVs9pq6B7px388SFEdslDKeMikGIZGgVzaQilvoZCz4dgWOBcyZTEPNBQC5LM+BkYocimgvZWD0VH8/PcO+vsKmN5KMXt6GUuWLEGlZiGfBbJp/sDAYO1ruXTVaW1fhEyh/WHmV/tK5ZNbdviV0v7iLfhYrbW1FQD6ANwFALs6D4ADmyzKWh0bbHCohs7OHXBJgLQboDrg4HBv4L3uNRfckLVHXjt/er+3fqsDCqHMlPM2CCWo1oRMWS4QNBQCEKuKPZstzJvhOjOm2vf0Hf7DDeVC2hkYcEApQTabw6xZ8+FzB64DmkmRQxzYmS+2ne6f6GXR/r8FP4nt1v9cCxDSyka6SufPP8LXPptC4Nso5QTICQFGqgwEBOUCQSkfwOdVPPgnisuXpknHnFI/5zhUnHTJ6f5XXjHt/wENNyz3Jcw73QAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxODoyMjo0NyswMDowMJmYTgoAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTg6MjI6NDcrMDA6MDDoxfa2AAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 47639419
{'hecke_orbit_code': 27022559887230656, 'n': 1, 'trace_an': 16}
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id: 47639420
{'hecke_orbit_code': 27022559887230656, 'n': 2, 'trace_an': 0}
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id: 47639421
{'hecke_orbit_code': 27022559887230656, 'n': 3, 'trace_an': 0}
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id: 47639422
{'hecke_orbit_code': 27022559887230656, 'n': 4, 'trace_an': 0}
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id: 47639423
{'hecke_orbit_code': 27022559887230656, 'n': 5, 'trace_an': 6}
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id: 47639424
{'hecke_orbit_code': 27022559887230656, 'n': 6, 'trace_an': 0}
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id: 47639425
{'hecke_orbit_code': 27022559887230656, 'n': 7, 'trace_an': 0}
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id: 47639426
{'hecke_orbit_code': 27022559887230656, 'n': 8, 'trace_an': 0}
-
id: 47639427
{'hecke_orbit_code': 27022559887230656, 'n': 9, 'trace_an': 0}
-
id: 47639428
{'hecke_orbit_code': 27022559887230656, 'n': 10, 'trace_an': 0}
-
id: 47639429
{'hecke_orbit_code': 27022559887230656, 'n': 11, 'trace_an': 0}
-
id: 47639430
{'hecke_orbit_code': 27022559887230656, 'n': 12, 'trace_an': 0}
-
id: 47639431
{'hecke_orbit_code': 27022559887230656, 'n': 13, 'trace_an': 46}
-
id: 47639432
{'hecke_orbit_code': 27022559887230656, 'n': 14, 'trace_an': 0}
-
id: 47639433
{'hecke_orbit_code': 27022559887230656, 'n': 15, 'trace_an': 0}
-
id: 47639434
{'hecke_orbit_code': 27022559887230656, 'n': 16, 'trace_an': 0}
-
id: 47639435
{'hecke_orbit_code': 27022559887230656, 'n': 17, 'trace_an': -12}
-
id: 47639436
{'hecke_orbit_code': 27022559887230656, 'n': 18, 'trace_an': 0}
-
id: 47639437
{'hecke_orbit_code': 27022559887230656, 'n': 19, 'trace_an': 0}
-
id: 47639438
{'hecke_orbit_code': 27022559887230656, 'n': 20, 'trace_an': 0}
-
id: 47639439
{'hecke_orbit_code': 27022559887230656, 'n': 21, 'trace_an': 0}
-
id: 47639440
{'hecke_orbit_code': 27022559887230656, 'n': 22, 'trace_an': 0}
-
id: 47639441
{'hecke_orbit_code': 27022559887230656, 'n': 23, 'trace_an': 0}
-
id: 47639442
{'hecke_orbit_code': 27022559887230656, 'n': 24, 'trace_an': 0}
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id: 47639443
{'hecke_orbit_code': 27022559887230656, 'n': 25, 'trace_an': -30}
-
id: 47639444
{'hecke_orbit_code': 27022559887230656, 'n': 26, 'trace_an': 0}
-
id: 47639445
{'hecke_orbit_code': 27022559887230656, 'n': 27, 'trace_an': 0}
-
id: 47639446
{'hecke_orbit_code': 27022559887230656, 'n': 28, 'trace_an': 0}
-
id: 47639447
{'hecke_orbit_code': 27022559887230656, 'n': 29, 'trace_an': 42}
-
id: 47639448
{'hecke_orbit_code': 27022559887230656, 'n': 30, 'trace_an': 0}
-
id: 47639449
{'hecke_orbit_code': 27022559887230656, 'n': 31, 'trace_an': 0}
-
id: 47639450
{'hecke_orbit_code': 27022559887230656, 'n': 32, 'trace_an': 0}
-
id: 47639451
{'hecke_orbit_code': 27022559887230656, 'n': 33, 'trace_an': 0}
-
id: 47639452
{'hecke_orbit_code': 27022559887230656, 'n': 34, 'trace_an': 0}
-
id: 47639453
{'hecke_orbit_code': 27022559887230656, 'n': 35, 'trace_an': 0}
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