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mf_newforms • Show schema
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{'Nk2': 1944, 'analytic_conductor': 3.8807295382342266, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [486, 9, [245], [8]], 'cm_discs': [], 'conrey_index': 55, 'dim': 12, 'field_disc': 40419192196881, 'field_disc_factorization': [[3, 18], [17, 2], [19, 2]], 'field_poly': [57, -342, 936, -1584, 1905, -1698, 1225, -678, 318, -110, 33, -6, 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, [5184, -7776, 14256, -9936, 4536, 1458, 1215, 351, -108, -78, 0, 6, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014673420943846, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 27, 'hecke_ring_index_factorization': [[3, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 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{'__RealLiteral__': 0, 'data': '402.274', 'prec': 24}, {'__RealLiteral__': 0, 'data': '247.482', 'prec': 24}, {'__RealLiteral__': 0, 'data': '23030.218', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [12, 0, 0, 0, -6, 0, -3, 6, 0, -3, -6, 0, -6, -6, 0, 0, 6, 0, -9, 3, 0, 6, 24, 0, 36, -18, 0, 12, 12, 0, 27, 0, 0, 3, -3, 0, -15, -12, 0, -3, 3, 0, -27, 3, 0, 3, -36, 0, -3, 9, 0, -6, 12, 0, 18, -6, 0, 15, -12, 0, 9, 12, 0, -6, 42, 0, -45, -12, 0, -33, -12, 0, -21, 30, 0, 12, -48, 0, 3, -6, 0, 6, 18, 0, 0, 27, 0, 6, -12, 0, -6, -30, 0, -27, 33, 0, -15, 12, 0, -15, -3, 0, 27, -12, 0, 15, 30, 0, 6, 0, 0, -3, -27, 0, 27, 3, 0, 3, 30, 0, -18, -27, 0, 0, -12, 0, -3, 0, 0, -42, 21, 0, -36, -42, 0, 12, -60, 0, -12, 33, 0, -24, -39, 0, 0, 0, 0, -3, 51, 0, -45, 9, 0, 3, 24, 0, -45, -39, 0, -3, 12, 0, -6, 3, 0, 18, 0, 0, -24, 0, 0, -12, -63, 0, 51, 12, 0, 66, -42, 0, 12, 45, 0, 30, 33, 0, 36, 18, 0, -60, 33, 0, 27, 15, 0, 42, 6, 0, 0, 27, 0, 66, -93, 0, 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mf_hecke_cc • Show schema
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'dual_conrey_index': 109, 'dual_embedding_index': 2, 'dual_embedding_m': 4, 'embedding_index': 2, 'embedding_m': 10, 'embedding_root_imag': -1.7409487199712304, 'embedding_root_real': 0.5, 'hecke_orbit': 5, 'hecke_orbit_code': 18014673420943846, 'label': '486.2.e.e.379.2', 'level': 486, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1944, 'analytic_conductor': 3.8807295382342266, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [486, 9, [245], [8]], 'conrey_index': 55, 'cusp_dim': 378, 'dim': 72, 'eis_dim': 216, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 274911461862, 'hecke_orbit_dims': [6, 6, 6, 6, 12, 12, 12, 12], 'label': '486.2.e', 'level': 486, '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, 3], 'level_radical': 6, 'mf_dim': 594, 'mf_new_dim': 72, 'num_forms': 8, 'prim_orbit_index': 5, 'relative_dim': 12, 'sturm_bound': 162, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 36, 0, 0, 0, 0, 0, 36, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, -36, 0, 0, -54, 0, 0, -72, 0, 0, -72, 0, 0, -36, 0, 0, -144, 0, 0, 0, 0, 0, -144, 0, 0, -36, 0, 0, -72, 0, 0, -72, 0, 0, -54, 0, 0, -36, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 90, 0, 0, 36, 0, 0, 0, 0, 0, 72, 0, 0, 108, 0, 0, 0, 0, 0, 72, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, -72, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -216, 0, 0, 36, 0, 0, -72, 0, 0, 0, 0, 0, -36, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, 72, 0, 0, 0, 0, 0, 126, 0, 0, 36, 0, 0, 0, 0, 0, 72, 0, 0, 144, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 144, 0, 0, -72, 0, 0, -216, 0, 0, 108, 0, 0, -180, 0, 0, 0, 0, 0, 216, 0, 0, -216, 0, 0, -162, 0, 0, 144, 0, 0, -144, 0, 0, -216, 0, 0, 216, 0, 0, 0, 0, 0, -108, 0, 0, 108, 0, 0, -72, 0, 0, -54, 0, 0, 144, 0, 0, 36, 0, 0, 216, 0, 0, 0, 0, 0, 216, 0, 0, 108, 0, 0, -36, 0, 0, 18, 0, 0, 180, 0, 0, 0, 0, 0, 144, 0, 0, 18, 0, 0, -72, 0, 0, 108, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, 144, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 72, 0, 0, -72, 0, 0, 108, 0, 0, 144, 0, 0, 0, 0, 0, 180, 0, 0, 108, 0, 0, -36, 0, 0, 72, 0, 0, 216, 0, 0, 0, 0, 0, 36, 0, 0, -72, 0, 0, -432, 0, 0, -144, 0, 0, -144, 0, 0, 0, 0, 0, -180, 0, 0, -288, 0, 0, 0, 0, 0, -72, 0, 0, -252, 0, 0, -432, 0, 0, -270, 0, 0, -72, 0, 0, 0, 0, 0, -270, 0, 0, -180, 0, 0, 0, 0, 0, -252, 0, 0, -108, 0, 0, -432, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 108, 0, 0, 126, 0, 0, -54, 0, 0, 0, 0, 0, -72, 0, 0, 126, 0, 0, 216, 0, 0, 18, 0, 0, 36, 0, 0, 0, 0, 0, 36, 0, 0, 90, 0, 0, 432, 0, 0, 252, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 126, 0, 0, 216, 0, 0, 72, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 36, 0, 0, -36, 0, 0, -72, 0, 0, -72, 0, 0, -72, 0, 0, -72, 0, 0, 0, 0, 0, 18, 0, 0, -54, 0, 0, -216, 0, 0, -108, 0, 0, -198, 0, 0, -504, 0, 0, -288, 0, 0, -324, 0, 0, 0, 0, 0, -306, 0, 0, -252, 0, 0, -504, 0, 0, -180, 0, 0, -72, 0, 0, -216, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -108, 0, 0, -72, 0, 0, -72, 0, 0, 180, 0, 0, 0, 0, 0, -72, 0, 0, 72, 0, 0, 306, 0, 0, 0, 0, 0, 216, 0, 0, 108, 0, 0, 0, 0, 0, 252, 0, 0, 360, 0, 0, 0, 0, 0, 378, 0, 0, 234, 0, 0, -216, 0, 0, 144, 0, 0, 468, 0, 0, 0, 0, 0, 252, 0, 0, 36, 0, 0, 0, 0, 0, 216, 0, 0, 252, 0, 0, 72, 0, 0, 288, 0, 0, 36, 0, 0, 216, 0, 0, -36, 0, 0, 72, 0, 0, 216, 0, 0, 72, 0, 0, -36, 0, 0, 1008, 0, 0, -162, 0, 0, 0, 0, 0, 108, 0, 0, -144, 0, 0, -180, 0, 0, 432, 0, 0, -36, 0, 0, 0, 0, 0, 864, 0, 0, 0, 0, 0, -72, 0, 0, 432, 0, 0, -180, 0, 0, -252, 0, 0, 108, 0, 0, 0, 0, 0, -144, 0, 0, 1008, 0, 0, -144, 0, 0, -108, 0, 0, 216, 0, 0, -396, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, -144, 0, 0, 72, 0, 0, 36, 0, 0, 288, 0, 0, -432, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 72, 0, 0, 0, 0, 0, 288, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, -432, 0, 0, 0, 0, 0, -108, 0, 0, -216, 0, 0, -180, 0, 0, -144, 0, 0, -216, 0, 0, -36, 0, 0, -468, 0, 0, 0, 0, 0, -414, 0, 0, -216, 0, 0, -864, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 36, 0, 0, 0, 0, 0, -180, 0, 0, -180, 0, 0, -432, 0, 0, -180, 0, 0, -180, 0, 0, 0, 0, 0, 72, 0, 0, -162, 0, 0, 0, 0, 0, 162, 0, 0, -180, 0, 0, -720, 0, 0, -144, 0, 0, 108, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 180, 0, 0, -216, 0, 0, 468, 0, 0, 108, 0, 0, 216, 0, 0, 396, 0, 0, 360, 0, 0, 0, 0, 0, 396, 0, 0, 396, 0, 0, 144, 0, 0, 36, 0, 0, 504, 0, 0, 0, 0, 0, 504, 0, 0, 180, 0, 0, 144, 0, 0, 216, 0, 0, 360, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44280221
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 379, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943846, 'target_is_minimal': False, 'target_label': '486.2.e.e.379.2', 'target_level': 486, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44280222
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 379, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055334, 'target_is_minimal': False, 'target_label': '486.2.e.h.379.1', 'target_level': 486, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44280223
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 25, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831926, 'target_is_minimal': True, 'target_label': '54.2.e.b.25.1', 'target_level': 54, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44280224
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 55, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872675684838, 'target_is_minimal': False, 'target_label': '486.2.e.g.55.1', 'target_level': 486, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44280225
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 55, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273048314342, 'target_is_minimal': False, 'target_label': '486.2.e.f.55.2', 'target_level': 486, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44280226
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 73, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832034, 'target_is_minimal': False, 'target_label': '162.2.e.b.73.1', 'target_level': 162, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 44280227
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 973, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518135609361842, 'target_is_minimal': False, 'target_label': '1458.2.c.f.973.2', 'target_level': 1458, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44280228
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 91, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832034, 'target_is_minimal': False, 'target_label': '162.2.e.b.91.1', 'target_level': 162, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44280229
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 109, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055334, 'target_is_minimal': False, 'target_label': '486.2.e.h.109.1', 'target_level': 486, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44280230
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170408370, 'target_is_minimal': False, 'target_label': '1458.2.a.f.1.2', 'target_level': 1458, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 44280231
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518135609361842, 'target_is_minimal': False, 'target_label': '1458.2.c.f.487.2', 'target_level': 1458, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44280232
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 433, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872675684838, 'target_is_minimal': False, 'target_label': '486.2.e.g.433.1', 'target_level': 486, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 44280233
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 433, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273048314342, 'target_is_minimal': False, 'target_label': '486.2.e.f.433.2', 'target_level': 486, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 44280234
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021735236732338, 'target_is_minimal': False, 'target_label': '1458.2.c.g.487.5', 'target_level': 1458, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 44280235
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021597797778866, 'target_is_minimal': False, 'target_label': '1458.2.a.g.1.5', 'target_level': 1458, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 44280236
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 109, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943846, 'target_is_minimal': False, 'target_label': '486.2.e.e.109.2', 'target_level': 486, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 44280237
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 13, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831926, 'target_is_minimal': True, 'target_label': '54.2.e.b.13.1', 'target_level': 54, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 44280238
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 973, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021735236732338, 'target_is_minimal': False, 'target_label': '1458.2.c.g.973.5', 'target_level': 1458, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 44280239
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 241, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504974050460080, 'target_is_minimal': False, 'target_label': '432.2.u.b.241.2', 'target_level': 432, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44280240
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943846, 'source_is_minimal': False, 'source_label': '486.2.e.e.379.2', 'source_level': 486, 'target_conrey_index': 337, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504974050460080, 'target_is_minimal': False, 'target_label': '432.2.u.b.337.2', 'target_level': 432, 'twist_class_label': '54.2.e.b.13.1', 'twist_class_level': 54, 'twisting_char_label': '108.23', 'twisting_conrey_index': 23, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 954200
{'charpoly_factorization': [[[1, 0, 0, -1, 0, 0, 1], 2]], 'hecke_orbit_code': 18014673420943846, 'p': 2}
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id: 954201
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 18014673420943846, 'p': 3}
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id: 954202
{'charpoly_factorization': [[[5184, -7776, 14256, -9936, 4536, 1458, 1215, 351, -108, -78, 0, 6, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 5}
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id: 954203
{'charpoly_factorization': [[[64, -192, 2352, -13016, 17856, 14634, 3189, 558, 270, 34, 6, 3, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 7}
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id: 954204
{'charpoly_factorization': [[[81, -486, 1863, -10665, 26406, 28917, 9234, 1080, 216, 57, 27, 6, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 11}
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id: 954205
{'charpoly_factorization': [[[23104, -12768, -30144, 66904, 75924, -8784, 6321, 702, 306, 151, 30, 6, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 13}
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id: 954206
{'charpoly_factorization': [[[110889, -125874, 157869, -70902, 57915, -21546, 15012, -3294, 1161, -156, 54, -6, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 17}
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id: 954207
{'charpoly_factorization': [[[94249, 48813, 83304, 43015, 53721, 24300, 13911, 3204, 1269, 265, 78, 9, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 19}
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id: 954208
{'charpoly_factorization': [[[5184, -62208, 181440, 229608, 130896, -164592, 105057, -39636, 10962, -2001, 270, -24, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 23}
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id: 954209
{'charpoly_factorization': [[[5184, 0, -1296, 3672, 27864, 19602, 20979, 5373, 324, 138, 18, -12, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 29}
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id: 954210
{'charpoly_factorization': [[[4032064, 6722784, -1255824, -3896048, 3265056, -1420686, 447879, -110835, 21573, -3224, 378, -27, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 31}
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id: 954211
{'charpoly_factorization': [[[142659136, 12039552, 37636368, 16521520, 10227924, 2696346, 682809, 92988, 15381, 1642, 225, 15, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 37}
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id: 954212
{'charpoly_factorization': [[[2653641, 1231524, 372195, -20871, -87075, -20979, 6075, 2943, 972, 84, 0, -3, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 41}
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id: 954213
{'charpoly_factorization': [[[49674304, 55312704, 22649184, 5780752, 1964016, 304218, 272541, 86742, 17028, 2536, 324, 27, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 43}
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id: 954214
{'charpoly_factorization': [[[419904, -419904, 1889568, -373248, -227448, 383454, 235467, 70227, 22032, 4626, 558, 36, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 47}
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id: 954215
{'charpoly_factorization': [[[-72, 216, 414, -3, -63, -6, 1], 2]], 'hecke_orbit_code': 18014673420943846, 'p': 53}
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id: 954216
{'charpoly_factorization': [[[82464561, 89493255, 82807758, 43706682, 13284972, 1618623, -82215, -43281, -27, 105, 27, 12, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 59}
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id: 954217
{'charpoly_factorization': [[[1000000, 2700000, 900000, -1865000, 989100, -261000, 48009, -5679, 1395, -812, 198, -9, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 61}
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id: 954218
{'charpoly_factorization': [[[249393368449, 75890257245, 14812357860, 2410211860, 339785766, 43489953, 5948319, 825633, 103518, 11068, 900, 45, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 67}
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id: 954219
{'charpoly_factorization': [[[488586816, -279306144, 190304640, -25589304, 12450672, 430434, 867051, 58347, 16875, 978, 225, 12, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 71}
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id: 954220
{'charpoly_factorization': [[[72361, -97647, 266538, -133943, 477801, -336762, 310857, -50616, 14427, 2245, 390, 21, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 73}
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id: 954221
{'charpoly_factorization': [[[591851584, 291936, -14350080, -31055240, -4208148, 2291904, 1882281, 297846, 11250, 106, 84, -3, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 79}
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id: 954222
{'charpoly_factorization': [[[13756474944, -11362392288, 4844852352, -1220561784, 220563324, -25156332, 1377081, 72414, -19764, 1305, 72, -18, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 83}
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id: 954223
{'charpoly_factorization': [[[126899100441, -15841147401, 9280898919, -590870484, 417935295, -23500206, 8737335, 121851, 77706, 978, 414, 12, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 89}
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id: 954224
{'charpoly_factorization': [[[373532435929, 223373952732, 66233297418, 14251428952, 2510579970, 334318455, 30926100, 1894662, 78354, 2482, 129, 15, 1], 1]], 'hecke_orbit_code': 18014673420943846, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 5, 'label': '486.2.e.e', 'level': 486, 'portrait': 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zbG+MoQa0GcBix2JIORT+AJhNHMTWnWTaYsdUI6A8Ew8VnuCzZOahbbmhPnFTU/YOMMbJ2L2DA7ZP3siI2zI7ZuMFyyUXHlNp+6anL0xARffzLg4QMJjx+PSVWX17+ozZtfYKirWQ4cn+LoGY/TF1LOOXAfWjDcePU8v/iOZbatm+TMhSkuLNdYbPsstSXL3ZRuL6U3FBw4tsDBk+0rHztw4cVHT57dcez0+c/f8srvju75wkefbUh8U4+/0wy+tNwmigxK8av3PHL4Be/87Y/It73g8Av+zZvPePPLG1hqT7DYbrDYDlhseyy2YamdstSOWVxJObcChxcFc+tW+E/fv8jz9zQ4eX6GMxeanFnwOL9oOLeQcGo+5UI3YWpmyAuv7XHzFRDIOqEKOb9U4+yCx7klQX8ESaKpBZpmLWV6MkEDx88ldHqwfYNPsz7CGAEioDfQXLJxxOKKB8ZKkZUejBIwGJbaEVvW+3QHCqEMQo+YqPlcsmnISl9w/IxHqj1mJyStmiD0IUkE/ZHk3JLk7KLh/HJCGA7BT7jlqh4vuFowN1FncXmCk+dDzizA+YWE80sJp5fg8KLheVct8Mvfv8zGqQlOnJvh3GKd+eWAhbZkaSVluROz3ElZ6moWupKTHVhZ6vBb/88w+b7X1L/mzfy49htXfk2gf87gE9Ymnm2oXPTxd5bB3/v+j/LCW5/Lv/t3/+5X/uKvvvL//NGff/nSp463dxw605cvvKbPrs0pqfYwRmGMZW+MBCQgEMLgCUMg4cxinfsPSa7dvcQV24Y0auB7ksBXBIFHsy5p+JJ+z2f/sRpffDjg+IURnSRm/8kRG2aXeMMLl7n20i7Pu6LNsYWEhb6gEQ45csbQ7jS5ZpdkZZiy95ii1fB46jhcttkwjFKGaYDnxUy3YN/JEOWl+DLB82Ewkjz/ij6DvuTaS1M6g5TjZ1rs3KhoNiJWRob1U32Wex0+/BV49GjK40eHbN+8yHWXd5ieiXjdLV2++yWG3RtbpPEUR09PcviUz8lzmlMXYk5dSDl8QXBiJeY5e+b5T9/fZcPUFCfPzXB+scH8SsBiW7LcTml3Y1Z6Kcs9w1JPcL6vWO4k3HjFAj/xnfOypthx/szJnYNBclN9Yme93pj+0mMPfILf/8O/eLYhs+bj7ySDf+jDH+Om52xTn73jwH84evzczz/y1HF1filifqg42zdcu/08v/nj81y/u8H5xWkW2w2W2jWW2j5LHY/lLiy3U5Y7CUvdhIU2nFwWePUht169xPe8JGLn+iYrvQkuLNWZXwpYaAuW2lYiLHc1nYGmMzL0hwmzEzGXbNCAIPQNpy74CBmyfb1i52bD5vV9zi+PeOxgi+deZmjUl3ny0AytZkQU+cxOawZDuPKSIR/8yhSXb0sYjQzrJiVxOqBVC3nq2JC63+T6PQmPH4k4vxiwZTZk5ya4ZGOEUjGnFiDwDUIYtm9ImG5JuoOQXt+n0/dZ6iiWVmCxrVlqpyy0U861YXGYcsmWHt/z0gVuvcKj5k9wdmGCheUaCyseSx3Bcluz0o1Z7qas9AyLPTjXVZxfSXj+5ed4148vctmWJovtCZbbNXqjSfzG7jRobPyV+f5lvzwZnEpf8vLvfLahs+rxdwrgBw4coFar1c+cOX3Jo489+bbDR8/8530HTzKMJb0hrAwso5zpJjxv1zn+248vcd2uOheWp1lcabDcqbHU8VnueCx3oN3VrHQTlrsJSx3D+bbgTM+A6PHmF7V53fM1uzbViKIGy+0aK72Adlex3BN0+4LhyBAlhjQFJQ2hD/XQMDVhWD8T4/lDDp+NeOJQiE6avOamCM9f4aG9k+zYBJ+9P+FF14RcaA+oeYokjZmZhiT28fyExcUGL7yhw2fvbbFzEzx4cIRPg1c/X5OIAU8cTjl6qoYnAzZMe0w3BfVQEAQCJSDREMWGYQTdvmGlp+n2NSt9zWLPMEhTtm/t87qb27z5BRHoFosrk1xYqlu93fFYbsNKN6XdS1hx4F7qw9mOYr6T8rw953nXj1/gqu115penWOk2aPdCuj2Pla7Ab2wlbGz8hc3brvjLbVu3nhgOh4PLLtvzbEMpf/ydAfjRI4dYNzcXHD506AcPHjr47ocffkwsLHXlYKTpDTTdoaE7gJWB5MJAcrYb8/xLL/DrP7LIDZfWWFiZYnGlyXInZKUbsNy1F6DdNbR7KSvdhHZPs9wzXOgKzrY101N9vu15XW65ImH7BsVE3afTrRH6ElBEiURrgTbQHwJCM90acvC0QZuI2x9sMurXuXRLwK3X9on1Cnc+PMX1l/kcPNejvTzBzdf2+dJDIRtmDHuPG/75mzrsPRayYUbyxYcVt16pWOp3OHJyhuv3RNz5xIBk1OCWqwJ2bxsySHp84SEFqeDwKY+JhocnoD+QaCNItSFOAKnxAk27Z2i2YrZtGvGCK/t823MTZps1zi9NsrhSZ7ljz81yR9DuQbub0O4ltHsp7b5hqS851xUsdBNuunyeX/mRea7bWWN+ZZKVboNOL6TT9+n2Pbp9RacviHVNX3rZtWbXrt0/uWv3pX+ysDAf7dnzdwPkfycAniSxjKPBGx78+mcvXemk73rggYf8UQyjCPrDhP4wpTfU9IaG7kDQHgguDCRn2gm3XHmBX/2ReZ67O2ClM8n8cot2r8ZKN2Cl59HuKtp96PYMnX5Cp5fSG2jafcN8TzDfgzgdcd1lAzbOpPT6htfePGLHRk2SSjxpiGK447EaJy7U2DSd8OThGugGV2xV3HC5Jqz1eehgn/mFJlfvaDIxtcy9j/vceFmNxf4Ky8sTbNxouH+v4vte3uOBvR5b1/ss9NosL81ww5V97n0yZaY+xdWX9rjQbnP/01PUvSbPu9yw55IhyB6PHRWsn4k5Px9z52M+w1ghJaTasGNTxLfdHNHtKTZPa264DKKowVK7wVI7ZKXn0+kr2j1Jpwedfkqnl9Ltp3T6mpW+YWkgOd0RtAcjbt0zzy//8DLPu8zeHO1unU4/pNv36Q4suHtDSXcg6PVTBsOE62+4MY5T9TNv/a43HGo2658OAl8/29h61jOZo2GfOBp8/6ljD/7mwvkDM2fOrtBqStTIBorGKEz+09YCFMIgpUFKjwcObODn3uvxpluXePvLl9i5JeLc4gRhUKceBjRCn2bdo1uXtAY+k03P3jCDlA0jzWBk6A5DluZrnDppiBLN6XMJYWgAQaAMnhT0BwqBT9L3eM4Owe7Nhku29BmlXT73gGLfoWle9dyQG65c5gOfMwSiwY4tfR6/V7FlSrFuok9N1YlinwtdaNY8tm4QPLov4oY9dV5y/QLvv21A4Ld45U0GP+zz5fsjPntfk6eP1tm1ucGOTSlz0xE718VcsyNFKY2nDGBohCFzUyFR7NPtBzx50LclCgMLxN4AekNDr2//9u4gpTcwdAaGlQHM9xXnlw2NyTY/9Zp5vvPWEdftanJ2YYJ2r0Y3B7eil/2bQ8FgZAkgSuDOu+/3662Z35xbv2Hp5S+56d90u/33t1qNZxVfzyrA41EPBD98+ui9v3pk75dnRr0e9TDAIBEI7AKjQNhXQoAUtpNGSYOSKYGUPH5wjkcONDl45gJvekGPF1w1ZKo1wVK7QbNTY2IQ0Ot79uIMJYOhR3/kMRwZhpEmig1xbEhSe0RJgNEglcD3BLVAMNUSTLdg4zrN1g191k23+fxDcNcjPlJP8qrn+jznii73PB0TDSe49TmC9mDAhcUmt+zRrJvqU/dCholivhOjtOA5ezwarREP76/x4hsmufm6Lg/vV2Amee5VAT/0+iW+9GjEFx9osvdEjUvmFBtn6ky3Gky2oB6C7xmUBG1g71FBmgriRBAlMIqxf+MoZTDSDEea/lDTH2l6A+iMYL4nudCFkR7yiuuXeMML2vyjV2qSZIJzC006vRrdQUBv4NMbKLoDRX8o6DtwD4eawSjN/+2zC2f54Ec+NzOM0v/6xte9xOv0+u+daD57IH/WAD4aLoHQPzR/6o5fPX/8y+vRXRr1ACFTcNBGWKALoRBCICUO3KCUwVMGX2nqvmChX+dDX9nKlx/p8KJrVnjHK1a4ZmeP2akGiysNuoOQ/sB3wFb2iASjWBIngiSxS71xy4WSBs+DWgCNumamFbNlfZ+EHgdPx3z4zhpHTjaZCuvceJXHLdd2uP9Am9u/PsFNl9W4ZFOfD35FoETIRCtmpTdCG1AC5ib6dLoBOqnzhhdd4EOfbbD7fI3X3dQnihe584lZ4rTG869az+tu7HDZtjZffrjP4ycbPHY0YOuMZGZC0AgFgW9vQilACIM2oLUhTtzNGhtGsb2RhxEMIugOBcsjwVIXhDfk+stXeMe3rfCiq1JmJ+osdxq0u3W6/ZDe0Kc3KFaC/kgyGELf3TjDYcog0gxHhlEM2nicPd/hAx/64vrBiF/9rte/0Jy7sPTHG9fP/MMH+Lklg/QQc74w3aWP/EA0HL2rfW7vOkWHRi1EiNT9pEA4AhdCIoRACImSHlKmKCXc8qzxlSH0DHVPsDxULLan+cgdTe57sset163wjleucP3uNrNpnSQJ6Q9r9AY+g5FHFCviRJKkklQLtBE2CyoMYaBp1BLCICLwR5xeHHHbg5JDpwKOnppG6ZDdmwKu3Kl47hUdVDjPE4dbbJlqcPUu2Di3zFJngmu2SBJt+PwDIaO+ZKqZ8OrnD/n0nTEnzrW4/FKfsytDnjris23DNNftnOeex7vc+5RgFAVcsXOGK7aFXLG1y+GzSxw6DQ/sa3DwSJOGJwg9STM01HyQ0hKDMfZmTVIrHaJU0BsJOkNBJ4ZIJ2gz5HmXdXjHt3V40TUpm2ZChsNJFts1ur2Q3jCgP/DoDRX9oWIwEgyGksHI9o0OR6n1+EcW3INIM4ysoxOliuNnOvzhX3x1/QMHLryrMdFI/tmvffkDuyce4Gf++U//wwU4ZogwtRcdPffAH4e935qpi4V1oWygGzXUSOYSRAgca2PZWgqUEnhKuWeNp1J8TxB4msA3hL6hEaRM1QTdkc9yZ5qP3TXBVx4bsmG6z9te2uaKbUOGgx5X7zRs26gYxT5pWqT5BQYpNb6Xcvy84eg5wcpA86l7GpxemMZEPtM1xeZZj+0bPXZtgat3d9Bygfd8usnS0iQ3XeFx9e42X35MIBKf9dOSZiOhHwdII8FIlBfQHgrOLwmuMg1e+twuX3u4zuZ1ATddPcM/ff0Cf/LZLg/sb9Ib+iyutNi5uc7lm/o8f0+X73pxlzNLS3zqnpDFfsjxsz6nTwf4SiClXfW0MaQaYm1IE830bMy1V/UZjWKu2DbiLS8dsX5SMdMKieMaZ+dr9AcB/ZFd5QY5sKUF90gwHGFXglHKMNKMotRKoNg4kMMgFvQjQV97nDzd4ZHDd6975Q3N33nFC9fHWxv3//lP/9q7+a/v/Ml/eAD/0f/wR2ycrYm//uzv7mx4+/esbxzkss0hcaIQQrr8o11mc60trVSQUqKkxFMCT7lnT+B7KYEnCHxNzTfUY0MjMkzWUqbrgn4k6UZNjp5q8ut/PgM6QSQJz722z86NEUkC2miMsUkcKQRSCTw/YP+JgL2HajRrHq1Asq4hmJuVrJ/x2Dyn2L4p5fLtK6Rikd/9+ATHT0xx0x6fK3akDJIuX38iZKruMztpmGpFNOpWCmktaQ8VSz3DYjul3avzwqtXeHBvn30nFFMTNZ5/1RQ/8oZFfu8T8PChJr2BYaXrcX5pgo3rGqyfHrJ9dsi/e2ufiUabx4/C/pMS3zcoZRBCA8b+z0CSwI6NKbdek5DGPnESYkyDYeRzbiFgMLIr2jBSuXwbRILhSDCMLGuPIpuVHY00o0gzjLV7z+TMPYgFg1jQjQTLsaAba9JRn8PHj01dcemOP9px/U3Ju/5J4yO/9mPvMmr2Z/7hAPxf/5e/ZOe2zeoHfvZ9b/7VPzn3nqf3H+clz5nml36oy5WXdJHSXhQhNVKGLoD0UcqgpEIp5fS2xPes5gx8xciXjCJNGKWMYkM91oxiTRQZJhIYxZpRAlEiGMaSURoSpzX2HWry2D5IjUG7G0sJ8CUEytZ8tEK4ehNM1GGyKZluKWanPNbPwCUbR2yaWyE2S/zuxyc5fGSSG3Ypdm2V7N66zFefSji/OMlzd0qmJzS1YEAoQ4wSJKlEGEOSRiz3apxf9LnhijrP2dPlnodrbJgWNGotbtij+ak3L/I7n9A8dbrFSk+z0lXML3usm2oyPVFnemKSiUbMXDNm+w0RoZ/gewlKpUhhgwmDvaniWHFh3iNOFHGiiGLFKHbPkWQUS0aRZBhJRpGwAWokGEWGUWTP6yhKiSKn6WP7/jCCYSwYxtDPwS3pRSl62OP6nSv8hx/ucMuV9zdak9EH+qfRK8PrP7547A/T2R0/9vcf4P/vb/4F001PHT9++C0nTy28/+uPL9YSvZFP3NknTQW//GMdrtzaRckUqTRSGpTyUUrbZ2nwlcH3FL5n8CNJ4At7EXzBKFBEsQV6HBuiJLWuSFI6UkhSQ5pqUo3V25oc3JkU8iT4PoSeoBYKGqGk2VBMNiTTk4L1MwnbN/ZpNVf4+Nci7nxihpWFCa69RLF9k89l24akYoXPP9Cg6XvMTStajSFPHIanj3hcs83QHymuuyzm2t2Gc2dT5pcDBsMGr7mxy92PDzh4WtGsS8Jggmt2aX75Bxa546kBn75jHYsdw/b1Kcttj6kJxWTTp9XwadYNtVATBprQS/GUlVrStVYag01YaUGiJUkqSBJBnEiiRBDHklFsnZcoFkSxIYpgFKdEsSYqEccoLh8W3AMH7k4sacfQH8XIuMcNO5b5Tz+6yBtfkDIYTdLrnqj1B7N/qtXRf9JJ5j56fO8H0u1X/sDfb4ArYeTCcuftR4+d/p8HDxyvTTVD2nFArDz++l5FFPm85WUd3vqKHtMTKV2p8WTqdLbVw77n4cceoacY+pZpRr4kCgRRLOzFiRVxAlEsrYOQFLZfkmrS1LoLqXFOiXNLMndGSSt7Ak8QBpJaKGnWBRMNw1RLs2FmxNx0l8Ss8JG7JX/y2VnW12pce4ngkk0+OzZrtm9a5uNfNywt1bhio2J6AlqNmPPHJBeWQ4KdMIoFc5OSqSk4eNSw3NGcW6hx2Y4aL39ul9vuqjHbgjAIUHKKa3YLfvR1F/DlBf76nmmePl1jQydm/VTCZFPRqisadUk99AgDCH3wPOswSQFSlECOvbFTDWkqSFIc0CFODVECcZxaUog1UfYca2c7Zq6MsyATK0l6saCTSLqxJhpGTIYd3vaaRd760h6veq5hpdtkOKozjEIGwxM1ETb+KKgHnhD+X2B55u8nwP/4Tz9BmuofuPPeI//t4KGTE5N1hRdrpBB0ZMBISj7/gM/Xn6pxdnmRf/5dfaYnEkZhjU6/hqcCfM/H93yCKCXyPYLISpMotql0yzjCMpFjpSSBOIU0tU6C1jbg0tpkPZwO3BbgNnAV+J4FSC2ERk3TqidMtRLmpgasm17ha/si/vT2OvuPTrFj0mf3Rti6MWDrBrj8kg79pMP9eyeoK5+5acVUC6ZaI6YnE4LAc4krGIwCljoxK31Du5dwYTngko0tbr7iArc/0Gf/6QkaYYyvAoSYZPcWxT9+5QLPu/wCf3p7i/ufnGKx57F+ImGqkdCoSeo1RegLQl/i+zZWUQpnH1qUG2wPq9bkQE9S7VY3Zy0mmiS14E5iiBJTHC6hM0wsqfRjQScRdBMYDhN0MmC23uEnv3uJf/u9PRphQLtrgT2KQkaRTxT7DLonJoKG+t3mzHXBvsc++SdXPOdvr0jrbw3gi0ttlFI//J73f+xXT5w8NVsPBCo1ud71hKAjfAZSsjLy+G9/6bP38DJveHGPl17fZcO6iG6nzmAUEvgJYeAzijzCwNp7GcDjWBIldtmNE+dppzjrD8fcEm0owG2TlI65wVM2YRL4hlqgqdcSWrWE6YkRm9Z1ON/u8+5P+Xz+wRmWlptcOie4ZL1gy/qAresFOzcP8YIVPnSnx5GTTfZskEy3JJPNFClHnJ43hJ5ECjBGEMUe29d3eICUTl+x3DGcX6qzZ2uN73ppm49+OeDY+RDfixHCR5smcSJ57s5ltn9vh88/3OeDn5/hoWNNtkwL1jVTmrWUWiAIfUHg21jFU9jAWYq8JsNgbzJtsE5LagGfgTxJraSzYIcotbUuUZY8SgSDBLqJpJvAINKk/RFb13V5yQ3LvPHFfV57o8YTDZZXaoxim1214PbskSi6C2dnvfqud111w5vVaNh+b1j725m49bcC8MWlFYLA+6ef/uydv/rQw0+t96QBX7gsZOaQCHwp6ElJV9ZoRx4f+mqNOx7vcsMVHb73lX1ed1Ob2amQwTBkMAoIfZ8osScqC5SSRBGnkiSRxKkgSSRpKki1KLS2FuSqxGQZUZssUi5ZFPiaMEiphwmt+oh1Uz0G8YAvP2H48Fcnuf/JKaYDn2u2GDbNSDbMBmyek2zdELFryzKPHxvwqbvnmFQec5OCiaZgohHT7qd89us1WoF1h7SBwcjjDbeO+Mx9tiam3dNcWPbYur7Fm17Q4/59XfYeDGiGCUoKC3LdYBhZrf+PX95mz6YLfOiODvc+PcWJ5TobJwSTNUMj0NQ8TeCDpwRK4hJk9u/Oyo+0k2paFytc4oBuCQLiVBCnDtipYJgI+omgl2JjniiiWe/zplct8fZXdnjunpQN0z6DYZNOLyCKg5y1o6Qgptgl186f3ru+OfG1X91x6Yv1sN9+X63xrQf5txTgKyttVjodlBLf/8Uv3f0bt332y7MrKysEvkKlDtzSPSfgCQgkhBK60qfvK051Qs7c1+C+J3p89Noub3n5gFffOmRmKiAahYwSe8LixCN2QE9SRZK6hE1aAFwbx9y6qCnLbEglbR2H52kCPyUMYuphRKs+IGXAlx6W/PlXpnjy6CQiDtkxbdg0ZVg3pZibCdi4TrJ5LuaSjR1Oznf5g083SUZ1tm4VTLU8Jpow0YgRfkRn0GSqZRBCYAzEiWQmVCQ6oRsHdPspyx3F6fk6V+1q8WPfscK7/iLk+HwTT8XuxvBIkhrDSLJxNuS5l3a4dlePp46f5sNfrXP7Q1OcaddphopWAE3fEHgGX4EnbTpfiGp1nQaMtjddqgWpgSQV1j9PBVFqk0SDVDBIYZAYkiRBxyNmawNe84oV3vaKLi+6Jmay7hPFTZbbIaM4IE48C+xYETvWtqQk8+Raf9jmqcfuWB/F6jd2XHZTsrR45n/5fpPWxLcO6N9SgA8GA6YnJ954/wMP/d4Xv/TlidGwQ7PuWVaQomBvx6CeNHipLWYKlKaeCvoqoJ94XBjV+Ov7mtz5ZJ/nf7HHv/juLlde0mH9lGKi4RHFAVHikyQFyNMM4FqijcQYKwlMHlC6VL8yNoj1EsIgwVcRnUHMfCfmtz9e4+iFaR7eO4XRAbN1wfp1hnWTgtkJxeyUz4ZZycbZhC1zfWanlvn8I5qHnp7i2q2C6Zak1ZBMNDTNeoTwR4Shh6fs7zcG0lQyGHkMhjGJFnQHmm7PsNTxObc4wS2X97j5qhU+9MUa9SWFJ2MLSOORpAFRbHs8103VeN7uHs+7tMcDLznD8XnJn94+xYWVBqcWQwIlafqCIJNhjlxyIs+kCpbJEyNINMRaMEphmECkDaQJJDFSjdg8PeDa7fZ63HhlykTdI0matLsW2IkDtgWz52SjsgCPJXFqZWWSCpJU0en1WPz6nbPDyP+9PVdcvzwcDj71rcTktwzghw4dYuPGDerDH/7LS/fuOzDR73do1D3ixKCSLCNpkKlAJcbWeqTgpQJfGYLEUEsFDSUYKEHfCxmkPotRndsfmuRrTw9ohiP+yWvbbJ1N2LF5wC1Xd/GEbRETwsoVm5W0tdLGlJgbg5AGJaxnbkhAJjx1VPLgPo/b7m/x1IkWUdKg5Snm6oaZpmG6YawPPuExM+kxOyXYOJOweW7Aprll7nxyxHtuW8+mKY+5CZhoKiaaglYjoR6O+NoBxTDy8JsWVMYIokRS8xTX7xlw3xNTtvBpkLLS8VlYCTm/MM2Pve48pxYWue/ROXwJiBgNOYBGkaQ38Jhu1ZiaaHLznj4vubbP975snn0nNZ+5v8b9++ocONIkER6jkaIfK1Re+lAOPF1OwGgSbTBa44uUySCiRszNN/TYuWnI1nUx73j1iHogadZ9oqhBuxu4ldRzhKNyr90ectWRuIKwJLHmQL/d5oH7vzZx5uz5S1//Hd+tjhw5nO7atfvvDsD379/L7Ox08MgjD/2gMcl/W1lZoh56xKllzFyaSIGUlrFVgpUIqcFLwJcCXxvC1FBTgkYqGGkYpj6D1Kef1uh2U37jQ9OYJGbD3JCrLhkyO5nwlpcPuGR9RBwLp7cllJgbpz+l1Agp+NgddR4/3ER4HsfPNDh9vkGtrpgMBVNNw0RNM1GDVl0w2VBMtBTTLY/ZKVg3lbBhdsiW9R1Ss8LH7p5g0Gty2VbDREPRakhadU2rluD7EZ+/r8aoL/HX227RTKI064rXPH/AXY9oeiNJb5DS6XusdD3OLTa4cmeLt7yow8NPNTi+1EJJDcROL/vEqWIU28RMb+jR7gW06g2a9RFXbh1y0+VDTl5oc+zsCp6f8tgRj49+tYFQtnCN8fmDRgMajCGOUrZvSHjbywesm0i5fLthwyykic8oapEkPssdnyRWxKnn4iAL6AzgNiYqAzozAJwHn2aulyA1HhcWFpldv/2/PfzQQ/3tl+z4k31790ZXXHnl3w2Anzx5ivkL83vOnDn97kceeUh6yp48IbRNwwvjspMGT0Li2DzRAi+xOjFODX5qNWDoGWqpIUkFkTZEqWCkJaNUEmmfWMN8b4KvPq4xpHzyfjuyAaPdkWXxnEUmsopEiVSKJPaQ2sP3JK0Qds4Zmr6mEWoaITRCQbMuadWtHJpsSaYnYHYyYW56xOa5LinL/PZf1bjnifXsnoXphmPvhqRVT2jUI5qNAfV6g1BJlHQaHCsH4thnOBAMRindkaI31HQH2rbMNQNOnZ/khVeN+Km3nuc3P+pxYiVECI0xMTo1xIlPFEuGI1vG2hp4NGsBjXqNRtigFsa06hHPvSwi8GNuvCzhHa/o46nEJYE0QpiqKHeSTmuJEJLQV0DAcOSxuOzZup00i3nckcgiBnLaOgN3BuwM1IkLWouvcSCHJDY8+OADUgj57tFoePdwOHzyW4HN/2OAf+a2TxEGXv3o0cNvPnjwoJDSztTLKgCFMKSuQUEpm4CRyqBSUKnVhkkKXmp7H5Msok9dVJ9F9loUX2tBpCWJkaTaI9YhqbO9yo88S+lsSU+Cr6BWN9Q8Q02lhD6EHtQCQz0U1ANJoy5p1DwL8KZgqqWZmUiYnRqxfqbH5vWLvOc2zQdv38C2KcW6lmaiqWg1FM0GNOoprXrM2UXN4bMhtcDe0JBV+gmGkcfOjZqN64Z0hgGDoXEsLlnperTqNVqNKd7xigscOXuOP/rUFjzpYdCkOiXRhjjxGEWKQWSLovo1SWPoUQ996mFKu2tjjMBPbcLMT/GkbZSQMnWFbfawpSu2hNOCXNDWrspS27gmTSVaSxJdxDtWS2cBfva69JwI934Gbtz3hb3eibvWxq4qTz75hOgPBm/etm3H4U9+8pOD7/zO/zOP/P8Y4LXQC5aXLrxzeen8O006kqFv/WeBBbcUhkRagKfa1XKngtTJk0SDl1q/Os2SD9q4r03+XvG6qJSzXq7IA6Wy5gYqQa0nNZ7E1bSArwS+Z6xv7AlqoaQWSOqhol5TtOqSVsMw2UyZaiXMTIxYN93nkg2L3H9gxIfu2Mx0LWRDSzPREBbcdUmzpmnWElqNEffvh8f2Nbh0zrgbvkibD0aKGy83XHbJgAeenKI/MgyGKb2B50Du06jVqdem+J4XL/HYgQvct3cjGIXWqS2HTQxJbPJ6ksHIozE01GuKWqAJA58wSAk9jeel+J7NDiulXRGbvT4Ig6DQc0VwbkuIdeZI6cx+LVmxGbB1Btrsa3JgVwCtLchTZ0Um+bW3fnyn25enTp/9D2FYD5rN5q8A0bMG8EF/IEej4S/d9td/8W9Wls4FYagwGUilsAFlBm5p7AlRBuWSCqkyeNq91raBVqfkr9Ms42ayzJtBu0xclqwwxlDKvFdW3MytyRI6SrqMpaJUtGWzf2GgqIWKeiho1AWtumGikTLZTJhqjZidHLB5bpn79g/4pfdv4MSpKXat00w1YKKuaNYVzRo0ayn1WkzgD2kPbbGYr2z8kT1SbRkuTgIm6jH9RNN3ddb9YUq3L2nXFY1uSC1ssWNjzC//YJv/+AHJ1/duwKDQRpOmmiRNiBJNFCuGkWIQSuojRS2QhIEhDBShp/F96/d7yrg6H7eqOpkihKk26LrUvnEkYlwtS+oAn+ri2QJUumdRANy9TnPWJl+dbRKuIDKd2jIKrQ3HT5wOarXmz/zA93+fPxj0f6Feb/yN0/l/Y4APBx2MiX5l35N3/auVxZO1Rl2itXF/NCgNqbR3rJKCRGVANmhpwZ06cOvstRbu3yAHt/VowWhju8hdCWj5YAzgTna7wNJKFFtTbiWR51rRfE8SBnYAUC20IxnqoaFZ07QaKRONmMlWxMzEgM1zK9y3r89//JN17D8xw/YZ67C06pJmQ1r2rhsatZRGLSZOI/7siy2kUvjSoERhE2qTLeE+//hVy3zhoYhuFNJ3AO8NFN2eoh161IKQ0J/g8m0J//mHFvnFPxHc++QGtJGk2qbV48QWmo0izahmy13DUFDzBWFgM5uBZ/KMrae0lYmyKEvOAV6kPAFHIthcgnVbXCCfAdhNHdB5cg3H7uQrbroWsHOAO0y4I8PB/oNHa5+7/Y5//dpXv0Isr3R+bnrqbzY9628M8IULhzFG33z25EP1wBuipCr9Ae6PlAXQlRakUpDm6eEM3Jn8cH9kXitRtF9ZoAtbR5GBOjvxY5+r6N10dSaSopjK1ZFbgEt8X9r6jUBQC+3Mk0aY0qxbcE80I6YmBsxNtbl/X59fet8MTx1fx9ZpwWyzJE1qHs2arV+p1xLqYYTvjzi9OI2vBEpqZ8sVQWaaSpJEsWnakCQxnbjmOmU0g2FKdyip9xW1wCfwa/jeJFdsTfjP/3Sef//HcN/T60m1tABPDXGSOibXjEJNLZIMA5VLMN8H33POlZI2FyCLxJtwz2tg3MoVXFIIkSeHtEsOZdniNC29rwvJmZaArXVxvXMc6DLQbX1MFA35yh0P1Ldfsv1mKf/mO078jQB+ZO9nCOSw8cSjXwjSeIV6KIgTjZJuOZKQqirQtc7es0DX2pB65H9kFdiZDDE50E0mR7LXF/lsUhRFVFKClCIHt5LSNUpk8gRqPoSBpl4z1EOrnxv1mIlGxFRzwLrpNg8dHPKL753mieNzbJ5SzDU1k3VBqyZp1BSNuqBeszeHTfVH3LdX0BsG1BTuJnNteKYINOPEo1lT3HJ1l/ufmqAfW5kyGKX0B4puqAgDReAHTj9PceU2za/9yAV+9g/h3r3ribUk1to1Sxc9mKNAEgbasrdf1NF7KjtwMqWQcVk31Vogz5JCJgO4A3yaOy+sufLqXF8XJJamxn1/LaCT18Ocn1/hT/7sr4PvfvNrG+//89v6/+Qfvf5vH+ALF47TnNw2deTJj/6BSQcvliLB97xcDqQSZHbHSqu5dWnZsoxd3OVaibVZuwRonQO7aArGae/8YgjXhy8duF2RkcoBDspVDPoeBD62EyhwBVZhSt3Ji1Z9xGRrwHSrw6OHRvzie6d57Nh6Nk55zDU0k3Vo1gTNuqJRVzRy9k6phQmtxpA7HwtYadeYni7S5BlgtNOmcapYP6t4xXN63Pmgtl00kS6BXFLzJTXfw/cCPK+OlJortxl+9Ucu8LN/aLh3/3pi7RG7CkBb9mqZPIxlXl0YeBLPc0VYUqC87NyQf77sJsykisiq0igSQuOHLj1rXXrOV94quMuVnen412lhMCQpjKKUdnfw4oOHjv7xT/3YW3/8RTcfW7ns0h1/uwDvrpyl31342Qvnj7+921nCUz5gS2ClsOwsZanuOHM+VClo1MUdn8mPNJch5OxdCSTHmdshPcvI5dpbZhV0he7OKgY9ha3P8Ay+bxuLa4GmFqTUawmNWkyzNqLVGDIz2ebhAyPe+YfrePTIBtZP+axvpEw2jAO3Y++apB5a9q+FCY0wItEjulGIUBI/Y/BcgwvHXs4vjn2awdCWC0Q1pjOQD1P6gWXwMJC2Jt7LNqA1XLPD8K4fP89P/0/Nvfs2EGuPUSqIUu1YXFCLNaFvCHzbu+q5uMNTtkRYSenOj+vKz55LhVn5jVmOdcbAnZNQiZjK4M7jKlO8Lr+XlkqaM3MhScEIyYWFRQ4dPvb2u772yOEoiv/93yqDt5dOMjG9dfvDd//RtcPeGTxPAgYPgxTSTVmyTK61KYIQF3xm4E5LNcnZaDSTBZOmCMQKpiiykqa8ZmasXQ4qs+XWdegoF0x5nusMckVIWfVgzU+dbo6p10ZMT/SZbHa5b2/Cz71nHY8c2cDcpMdcPWWyZmg5cNdr1k7MwF0PU2pBwkQzYu8xwx0PNwmkxFfaBXGFR5Et33GqSLTHS58bc+muHodP1JlrUPQ5jlL6Q8fCnsLz/DxhJoTh6u3waz+6wL//Q83dT80xjOs2GZYYGq6GO/SxIPey1Uvnva1SpfkKp6QoAVyUQM4qvVKA3FQBnlcoFivvWitzwe6FPVhxzXSxCiipOHzsLLd/5cFr/+M7f3T7oSOnjl+6a+u3HuCj3kmCcHLH/Km7fws9/0YlOkjfwxidfxipBVJbZihkSGYvGXSayRGxaknL/GGTe9pjLskqt8Qx9zi4hUGqovZFSTc/xTF34Gl8XxP6mjBIqAUJtTCiURsxM9lnudvnrifh1/58I48fWsc6B+6puqFVFzRrIvfKrfOiLXsHFuD1cESUpgwHNWrK3mRSlJZ+Ms0qXKDpWS3vjRhFhkEsSgDXBEFK4Hv4vrRTBaSfAxwB1+0U/NqPL/Mbf5Fw775ZzrQnGDYlU6mhlRhqbuJA6Bvn/WdOisnZO5MqIi+IE3kcQ+lzi9L5N+6iZKtqAe6qpLTVnCWwV4CeWb9VYOfvOXJbWO5z8uzyGz/1+XvTl9z6nH998MiZY5ft2vytBXh35RjKa9zUXnzqzYP2XsKwhtaps4ysP6pKjJ0BW5etJCVySWJBLdzSliVsqlKkDPDsFJdVYXYR7LgHSjUvDtz5cCBbFut72o2ZSHNwh4ED90yP+eUBv/pnDT719TkWetPMTUrmag7cNau7Gy6wrIeSRmgcg1vtXQsjIOIrjwYsxwGzIZV6bER1hUpT2/wwEXq8/IY+9+2P6MYhk3nHuiYY2Vr1wLMA95RtyBbSJmgwcMU2yW/+iw6fuW/Ar7xvA6cWphlMeUwFglaiaSQQxnb0cqDsQCM/CzSlyIPg7LkcqJdvTCHyXpH8+sCYhCwDuxQ/6RL4y3mMNUGer+ZOzhnFfY8cZOPGDW+enGj+Wbc3OPYtZfA46uH5jcsunLzzX67MP4HvS8Axt8twqbFEQG4due9ngM61dg7qTIKYwoYaZ+2yLHEnOmOWLN2cuQAqA7gythzXy3o7bX9n4KcEfkItiAmDmFZ9gOf1ufOxlD/+7AS33bOeSE+wfkKwrmZlibUAM59cuUM45i6zd4znjfja01P0I49NjezzjDN4trrZUtKar7j5ygGJtgAfxMJ2rWed6yNtg0PPzYZx9p5wyXWDYN2U4O0v69EKz/C+zw646+lZzsV1+jXJRGJoesaC3HNxiDIuLjEO5Nk5FEXtuARJweLjOwrmUiUbUcG4Ni93DxW15xmjp2sEp2mJAHX+3wqE9Lj7vie56YY9//LNr3/hI91u/+A3M/fwGwI86h3i/PHP4odTm7vL+19Cukjg+xiTuKXW5OncVAuUKZhb67IkKdi7IkcyrY1LJlSAXbIeyvZVPhyoNK/QJVOkzEa7aVfz7cCtbC1G6McEQUzNj2g0hgRBnz+/3ePX/9d6Ds/P4Ic1NrYEM2HKRGhohtB0Hfb10GY7ay4hZOtXUrcSWHmy0EnpRQGBUgTS5AEmpT8lu7Gz2o0o8an7QzZODVjptxjEwo1bs7GC76fO5lPO7lRu1EY5cLWVj298UY8br5rn1/50yAc/P8dS0qQf+jR9yYRna3BCDwJF3gzhZUmffA6NyLPAWQKoTCpVsVIGOpUVWJuq1Cy0+dixymwojmz1B8XpCx3uun/fS4ZRunlhsX3wkb0nueHKbf9nADcmZdMlL97RX3n8Pd3hgzRqaekiOXmibf210jKXKxbAVYlidFHfkAWP+UlAlCSJGJMmGbhNwSYu+ybLAJcGJe3oiYK5UwfyhMCzkiQMRoT+gGPnE/7oM00+cfcsR85PM9HwmanBdJjSCo1LvWfglg7cMk8K1Zz2DgN740w0R3z8ax4Hj9epuQlcebsYBcrzMQ7G6vA48bhiO7z+xi5//LlZeg2PCTd7JIxc3KA0nifd2DpKIPdLF8tei0vWSX7u+/pcu/MUf3jbDEfOTbKU1On7Hk0laDigB9LYG8e5TPnql53XzD7E6vMi02lW++QZMWWlE7lvvtpSzLuITHkVL+SJdVdE8TNuZY+0x6fv3s/1N1z1nu/49he+dn6x+w2lyjMC3JgI8Bku37U16j282+M8qlYj1dpVmNkiHKW1kx8ZqGU+Dq1wSUQO6Az8pszeRuQsULBCRtumogMzYGfFXFJmANfONcnYO8X3Etu54yWE4YjAG9FNI979kYD3fWYjpxen0KrOzKRiJjBMBpqGY+5Gnr6Xrk7FSRPnnefgDmz2chRHHDwV0otCpkPn4mRJp8yVyLKwplSTEntMND12bo1Q4ZBu1GIQCOqxYZQB3EtdokZZH1tmJcBrBa+Kuck+P/bGPm9+6Tne95kOf/SxWRYGTQZejZqnaHiCujKEibFsLq1U8WRR3pC3F44zOWvIlXGHBajEUhl4S0SWAbgAt8j1t3ZlAYn7GVtB6nHuXIcv3Ltvd1irbf2e195wbKWTMjVx8a2mnhngyTGENzXnh+YjfvxFv16XJOmINFUOxMoB2+lwYxlcG53LFlNiem3GgG2y5UcUzL32JynZgSYHdkWeSFclp1ILcC/FUymBH1MLIgI/oj2M+Nrjkj+/fYKP3T3LMG0RBAGzgWAq0DQDQyM0NIIC3LVQEoaS0EkTmxhyzoQDeODbzOfRs4a7HmoQxT5h06wKMLNHkc62ZBDFCt/3eMWNXT70pR77TzUZ1OxohpFvCBLwY40faZSS1reWIrdmM2BVPHYtaYQeG6YG/PT39LnykhEfvL3Fg3snmR80GaoA3/eoeYK6hDAbsJTZq9K43AYlkFdrVsaLs8qMnhHUuCOWfV1ob1FoccfoGahTbV+PNMTG9gZoIfjwZ77uf9crr/vIybNLz1lY7s7/jRn88NndcmH+gZs6Fz42+bztS9RrdeI4IEl9B/KU1EiUkyjGPWsH+EKOVGVJfmTAdhKlzOCVwh/bo2OZPE8p67zc0+pug6dSC3CV5nLE82LavZh7nhS8/3MT3P7wJEvtFrJeo1VXTPmGiUDT8A2NwFAPcKxtmbseSmqBohYIagGuQk87cGtC3+pv5Y04cApOt2s2seL0bTVxUtTP2D5IC/JES6LIY8OE4LJtA544kdCPfUZuxncQYcGnssm6WaIG5FhnTnbzZDZknNr68Le9YsCrn7/Mlx/p8oHPT/Dg3gkWuw3aMqAXeARKEEhBKG0juCftLnVKFDepEq7sdw0GX1W/Ms7kJULTlAJPI0hxCcGMtTUkxoI6NlmCSIOOIBlRU22efPwvJ5+35ztvuv7KGz7HMwwPekaALywcC89c8P/nz//XfvNnvi/kH796kE9gTaUi1crqbiPd7JEC4GVwV17rTIeWAF46IRVeqEgTUynQt7JEO82tUTK1A/EzN0PGzHcT7nzI47P3tPjUXZNc6DQRtRp+y2fCg0nfdvLUfZzsgHog3CFdyanT3YEgzNg7A7iXEAQJtSDCmJivPBxy/GyddTMCX2ateqJo9C2xnSlZqGmqGIx8tm8QvOKGPp/4ekQv9hnEgppv+1UDN1mqWKVU7lfbOeoU59WI/Jqk7kgSj3o44m0vG/BtNy7yybu7fOaeBnc+3uJCu8FABAwCD89XeMKO9PClxBfGSS2DQpSkYdU+XIPMKy5YwdwiD0AzDZ4aC2h7FAyuM21jUtAJpBFEA77jVW1+8FVPNddNfef/7K+cvBIY/I0A/pHPP8TycpcjT3f59D0N3vLSAbVwhBhplPRIddHka3KAy4osyfawzN6rXASwvZNr1ARWAsoSsIXQzg60wzozORJ4MbVazHCUsv80HDuj+PAXJ/ncgxNcWG6CX8Ob8GkoScs3tDxN3TfUfaj5Ftw1384ktGWmsnQI933jQK5zkAe+bU87fEbzxNEQfN8t86aUohcVFJSDMFsvbTvMR7HPNTtHXLW1x77TDQY1QSMRhLFhpHDWnnbsnbkpmQVZaJXcZ88MAK3c9AGfYeRTr4/4gdeMeMMtK3zhoR5/+aUGx87U2He6QbQSkoQeQ89DKjvVVwGee86YPJcuFMH/qkfuphSg1pRkCRlrZ9+zjc9UgJ0CiQV4HNOoRXzHi4dsWt9Dyq9jxDOPmLgowJcWj4vBsPcv//jP/tu6H337BW64JiYxAukn1AONjhOiyPboGaosnjFIAWxZCiiFAzWl5zF4Z5F6rvlsUsNKEu12eUgJQztJNUlTzi3CF7/qcfhUnTvur3N6uc7hM00IQ1TDo+Ypmp6h6WnrIvh2cH7Nt+PaLIizQ7pDOYDjNLcDt58S+pa97Y0VcXQe9h5r4MuqPZhLFIp68NxRyJwU7foaE5+rtg+4bH2fJ48k9BOfViwYeRAkdiagKgFcSoGQssLkMG6/iTyYzfoo49Rn5AdM1CP+8atGvOjaDqeXO3zlgYAjJ0O+8HCDM4s10oGPlh5xoBBS2pXCdeVLXMYTctmyFsgrgSblLHXmtmQaVZcO11+LA3isIU4RMsGrp3zm3pBznYRa44l1r3zJz/zLoydOvmvnJdvWDN8uCvB05bMEJG//sdcfa0ayzfs/0eSf/coML71lxJU7Y7ZMay7dMSI0kjR27K2lkydloGdSxAG7xOIZW1c/mSlF7AVr51JEpfhhSpwajpwUPHFE8cX7Gzx5NODpo3U6IzsHDz9ATfiEStBQ0PA09ZIPHHpZnUZWNmvrwkMnS4JAEQTS3QCm0N5+ajOLvtX5tSDG6IjzS5KRCfE8SSANXslmGyPwHORpyXFKnR8u8JibiZBqSC/26XvCOh1xUTDmKV3JQEpRimKzYUcUMVHWWpYNRvJTlY+f6I8CNk5HXLIh5rm7RgyiAf/kaJsnjwV88b4aTxytceREjThRECqMVCAkqSxlg/IkxRpapSLOMx84e9al57FDa4g1Him7d0ZsmUm4cmfES2+OeGy/x6+/Zwrhmeb+U/e/3fe9d/1vMfi+p/+M9mhZTXv3CiP6vPfjTX77TydZ6iluf6jOZKC5ZGvCNVdEvOrGES+/PgJj26LqTZzOlqAFSWwBnwWSFQYv3/LGAho3v8T3DAiNkIY4MvSHltGPnZL8xe0h/Vjx6NM1Dp0MWegFjNIAvACUj5pQBFJQV9BQhprCjjNTrvBIWdYOfGGTHmVw+5LAyZIwgDDAuSY2Ze57msBPXEY0pl6LuLCc8sV7W7S7IdOTAs958VnRl7gYs+lSQKglo5Fi3azi1bcM+cKDA060mwx8aWWKB35i8OPMs3Yeu0ytXUh51onMf4c2XqVkIk0lQapIPUXi27EPcexbK9WPaQYxL7om4eYrR7zpJUMOnJQ8ttdnECk++MUGR8/5ICT9gUcaqax8E+NlAB+zjMrp2wrAAaMRqUFog3HArjdTfF8jjOblN4x41Y1Drr48ZvvWhMnAsG5K85qbJR6C3/+4z10PPiTe8Yar1Uc+9RfJW9/4vd8cwKNEMDIz7/6F/2Gue3DvHKfPh3QiBSHM92C+azi6pLn3Cc1HvpgyN5NgtOGGPRFve+Uw77Wbm9Rcf01Es+ZWHCPyHNjqay7y4TztvuCxxz0WO5J6TXL/Xp9P311jGCuGseLsuQAtPGLjo4UPnocIPTwpCZSgJg01B+xQGUJlbA245zxfr2DuIOvLzMGtXI+myNk78DVBkBVopTl7B0GMUhFffUTxia+3UIFn7baK/r44g2deeJpmjodiOPR5w60DPvW1Dh/8yiS9pEbT6XA/0+FxlpQxebeQEDIHmP1VsqT1SwDXbrSDZ5nc9xSJ5+ElqQW6SlHKDtKfriXcennCLZfHGDHiLS/rM4ztOLe/vjvkgb0B9VCw0FE89mRApy+dShJcVJTnO0/Y1sDrr49ZN5XapodU87ZXDrn+shijYW5GMzNl8NxgG6MlyUAx5cO/+94+b3t5nzPL8XWj4KZ3A2tO018F8OXlHlNTjYlf+J2PXv7l+6fUmSXfbX/gfkBZR0YbzUgbzrc151fs0JgDJxp8+qv2TjSpYXJac9N1Ea26rQNeMz1ZvtWd67DSUzz4RECnrZCetDNRjGeZSXjYucAeSA8pJb4UFszSEEpNIC0QAgWBKmb0WZCLouHBs40AWeNxGdyW4V1ZrZ8xeFo6EkIvxpiI0wsB0ahGOCkJXNpbuaq8ShYz6+gBytZp3p2uFVHsM91SbFsXEYghgyRkkAjqnh2CmdWQZAktJcvlrcX2i/Z3ZMk2XWRPtXbNJ4U0SpLU5Q2Um8ueECcpKra5BE+lSJmwdZ12K4bmykuGRGaA9DTttuDBJzxW+hKVK5ZqUF250q4Yq1nT3HxdzOS0xiR2Za8re+7sZ/fQsSRyUg533kjsKnbZVs2uLVrR6l/e2PBDE6PBGzthvfnMAD908jzBWfWuR548/bJzQ4motyhmapuMiu2zyoIDe2cmRtPOliCl6awYzn61WfoT1wJ4Wb+5iyMEOttyAVdzKlQR5EjprKwM1C7tLHEbt2a+cenZc530Crf1Hjm4bVuXInDgDjzyElPL4I7FPU3gsqO+HxOGMScXNH/6hSZ4Ab4URYCZyxOxisHL/nCWDbZgs0F7FPu849UDPnnngKfPt+ilPo3EbkprqwBN0YmjspxAOdjLShczKSRLBV7ZofNaGM9T+Kmdl+I7oCtZJM1s3bh7LbQbHJTiCYMwKesamm9/oQaROpkJiGz/jDWueV5jJEAr0tgjm8eSxJKYqklRjuUYey9OQabHXlabPPouTPIT35DBf+N9n0VKEew9fIaGEmghiSt1BSavBa5qKue15zeAAWVI/fLNsRa+M3bLAF4NXoSUeQuaEuALm1YOha0W9KX92pO4mgrXPZ4VEnmU5qDgdmYruuoLgMtctoSByVvagkCXBuck+I69Ay9Gyojj5wTznRrC8wglFXkiy39W6XKXpUMFeM7piBKf2YkR2zcO2HduxCD1GKYQpgI/NfiOwVRC7iwVKXRV6VTIYjtr4ZpKnb6VRhov1aRKorxs+3LlitXstjJKFoeQGuVALrLfjZ2SJaTJXa8M6JkDthbAi+ReEZetAjLOXh4Hu8lqeQSeOE60/MHArKEQVgH8xLFzNliJR0z61puMnW+ZZZpSCm+zbAPZwskykL+RLMF15ZQK64VAUqSI7VQq8IXBFw60TgJkr/P3HNkXpaDkDbaBEhbsFXBL+xxkQM+CTwfurPvH07lE8T2rT4MgJiHmM1+rc36+jj+pCMo1HGUHhTFFWk5dl6ovs6TPcGQn2L7uBT2+9viQTlKj73nUE03k0ulKFgVRWcGZHZWX/aZiSa9U8Gk3U8VAquzv9LQgUQIvlW4XO1vLkzigF8k0nSfYpNSlxJt7LcvgdjZvvlfMRa5/qdCO3ISg4r6ZVV+LPHOepoJRohmdnV9ztagA/H1/cTutZv2FH/vrO29cmU+QviEx4GclscbNJnEAz1OulDquM1P/mWGdX/S8Wk2Ayp6FwYPcalMuZWznmxQaN5t1qLKBnk6elIGdz0FR2H7EtQCeBZyZ7vYyWWKc3q7Wkgd+TOBHnGtrHj5UBy+wI6ClydPzOYNTZfGMuQofuFwqKnNPPI59brh0xOzUgPZyg36iaCjwE/u3qNQOUFJxGeBYkOe/SI5VagrXN+lq9JUm1QJfC1IlSZUmVYLEgbxcvJaVQ8gM5CVQZyUTAu1AjitpzjLRRdKuUoxRqV8ps3npM1dALks3rBsjl9rpBL6ZuXHTjpe+8OzR196zaee3rw3wOI7p9c23p6m+PokjAs9HaQuaPHGA69bAVNhbI0pM7gz9cVA7+6RsJmV3eZYVK8BhcgYfL+H0stoIVwOelXra5uKsU8XKEpV3rxTAzppvLXs7ze2R6+3MErSMXYDbz6sTYwQxt90d8rUnW8jQI5DCzt/OKwjL81nKddTFRc1Ho+UsLl12WDEY+txy9YDXv6jLH93WIkpDeqmklhpGCW7lKlf9aSfn9NgNdTEmB+1J1xMpcnCnSqKUtowupRstoUulyOUaIFOAvJJtzpg8W6RLMlWsJvPyyL2ihiWTJWuBvGi0sWUICb5Jr4+jwbdrHd+zJoMfOHyK6anmq//0L7/8fafOzNuuHWEdVZWxtxzLTLlfrkvpyLIiMVTuV/fHlhjcgTsDgCyBQlLUPJRHG2TMbbcgyb7GMTh5G1aFxV03jK+q4LbjFMaY2/VsBq69zfeyhoOkdMRExPzlVyZITYjKs5flALPoa8ycjYoGZ6xdT0s7HSrNgk0Pgc/bXt7nzz4zYkXHDNIag1TgJ+QsLqVBJiIvOrN24fj6KYvrlRU8Zdrfc6MblAO5Z1DayhU7Zs9WMNrsscxLkwuLslzdWZQx500pOdALqbIa4NW1vQryggzKlah5EZ+rexoOLhBHne/btOM1d/Q7J7/QmNhWBfhglOD340sXV/q7F1e6NOuB/YcERetR9osqAC/WmTKgL/YQosTkJXmSA32sPDPX4mOaMwN9ebaHUqLQ4q7irjLsxgHbU6JwUnI70Hbc28Zk45i7CDC9EnuHfsTDhyQHz9QwykdJSSA13nidRkmAj7so2ZF3OmlR8qstyOPEZ/fmmKt29fj6gTqxChgkgpoEPzV4iXDyzXXhJE6HI61cqPzKcXCMt4pl7oqtd8lmSCon/QpwZ7VAxpUJZExOvnqIErgR2cSstdl7rYcpy5dxjV5uc9TFX5nGXUza3W3M6FJM9IVVDL4wv8RwMCAe9Qk9C5RVdQSaav9dCdj5B3uGj50zd5nJx4FeArfKa74L262QLMJ2z4sC3DbIFHm3uJeDW1YAXh7+Y7vtyYGdZytz5k4JPJvYsV1BMYaYj36lweJiHRF61ncv34TjNSgFOVUswqz5tlzHnXvT2u5ts25G8tZXdHn40ASjtEZfBdRTq8WzclYlceDO1grtPPFyNFTKJme/M283LPoh7SFRupjpnr2W+bbqToPLbL+jTJrIojlinMHHmlaKdN/qQrtqhakYw1nWZ1AmW4HWisEgot9dJE2K4sIc4O/5wCeRUrK4tEKzZu9WbcYYW5TAbFYD/Bvxd+b/F/Jk7LkM6DKLV8aLFYwtywyuRInFM7kiUV4V4IHnBgD52daBLsPpGfw8Fa/d67RyeMp27jx9HD5ye4uRDFBSuexl9UYcz2CuWpZL57Gqw50WTxVJ6hGmHm991ZD3f67P40fqxMqnLyVBqp17JJCpKZ0nY9vLRHk91e53VfctKjN5qsHLLUQ72lq5kgCVmmJYZz6XReQ3dDKmx+31LBfLUWLyDOTPjJWKLl9TrowBPA2YP3eQzsp5m/YvA/zs2TNs3Lip8R9+5d07V5YXCDyLuqzNvwpoUbk4F4P2+AUVYvz1au19cYkicuCMj0OWJcbOgsxsapPnZZu8Ou2txsCdpe/9rDFZ25kheYtY1tOZuCNG+REHT3t0owCU5+SJGSuPHb9xqyekOtBozAt33ThF4sej6Qsu3zLk8YMRqQ4Z6IBaamu2PafBlbAbudrEUsaWmizILJi8SKJkHe5ePtjUvpcNTPU0roPIIHUxISCbrpVm3f25AVAEl3ngOXa9M7SsapiouEzVF7kXk8uWolEm0+JJKoi1watv2HnLK368cf7cT/Q3bNxoAX769DlWVtqvunT7+p995NEn8X27bAkBcoypzRiqjSh/kCq4K6AusXf2PYHN55SBUAC76GNUJVZUlaGaGcgpaqRVCdT5a5fkUTgv3ILbArgYCuSX5UmZvZXr6wwilrqa//FXLRYHNUToW3kiTWVVKQbnPLPmrEwTyOaA5AxuHZUk8ZhoePzkd3X58sMTLI4CIukxkJLA9VAWIx8cg5fr6YXOy2gN2oFbuxLnsrMiHIObPEjPwK6kcAxuJVGauyjkMqXQ4UU7YSFTssCzsAor52ZslVsN8PFzlnnlhROVpNDvJbTmNvzs0SMH74mjwSdzBr//4aephQH7Dh4nihKU8m1C0ZSYe+w3faP8TfaJRfGylMypgrrQ4KIAuRyXKNXBNDmwpUCqYvyYKoHakxLPSRIvB3imuXUeVPqezsHte1n9RZW9fRUTBBEf/orPU4frIH2klIRZaWzJ2sz3iHd/5EWrCUtsnu9UUZIpiZZukyefa3b3eeOLOrz/czW0FzKQAaEUedJHSUFcCujGmVyUmbycNSzVxGhlHTNPGjclgXy2o3LDVIuxEsUsmmIyre3jFLIqT3JnpURsVAD/jR8lo66Ev2obJCahs3wcz5Okid0YwgMYRAojPbojyTCGunI7gpWW1nF2/ibqpvI4otChWWG+WTVQpuIZ54GlKNg8Z8hvBHBZAFyVaqg9V5fik0sRXxVuiV8aDlRobsvevmenVi23NX/91RYL7RBqzj0pbbB1MYmCENULWXYIxm27vKdVotPMTfGYnlB8x8v6fOprQxZ7IZHyGKTS2ZPCuTeiaMaW44kVy97ZWzpn86I30sucFeVeu7HX2o3Dzs57GeTC7ZyXS0knT+zqXNbjYkyuiCrAhUGYi8M9UwqZQM57DLLQU9gZNeumNbMzkCT2fe+hxw6wYf3Mjs998f6fOnTkHFIq+w9lNhcXLZm5GLYxJffAMHaxS0CvHmJtiZIlTirArs7+Lne42OHuVMGd7WyQMbcqMfcqBs/GTRQjJzxlM5dHjwkOHK+hCRHSy5tzi+rBcvwgSq5G8ceXa1FykGf2V56yLxwVrW2wifG4YnvE7k1DFvfVMWlgWTy1MsUruTgFe5YLvbJ6IVlywBybm8In17KYG1mObVQ2VDUbkZ1fl4KMcnBr4WapZJpcjEkVMYYHk3+xSqYwzvK5yCEf5OfOue9J4uFpguDyn9q684WPthf3HfPSNGXQH240Rr96fmGRmcmgWgW36hdc9DdX3x7T2+PP+awQqiCvyhNRciZEKdgsAG0ZHDcKuOyDlw+3pbUqg7sEcrdfve9KQzP2Vu5rz4tRKuYzX29xcKEOQSFP/JJ1WblhWT0uYhUr5exZTWTkM2dKWjyKPHati3jdLX0eeLoB2idJrRb3U5fdTatSqWDOsiXnQG5MSaKU5Ip0r7PstcwO4ea/m3zccqpA6myFNTkxFQmf8mvH0qX2trztpQzui7hOF4Vg6d/W0qPbWSJNzauTZLRRa33M89zSH/rQrFkXImchuTZgvyGFQ4W5VunuMVBnX48HaBmgxRrAztlciVITbgncbj5hsW0Hq4HtFQOC8hFvnnYgT6w8UTH1RsTX9ys++dUmg2EADQ9PCnxRlSbjn7/8N68JcMb095hlWPbF48RjsuXxppcO+dzX+ty/P8A0fQZpSCDIbzSV//5CB5fW0hzk5ZyFDT7dDaYsm6fSZbBLrJ0F9doFl1KLkv4WpUC3GkMVuruIC+x7Igd6GdxrAnyNc5jdvEK4hCQQpT7DkSJOBFEs8aI4ZhTFpGmS69Zi3FgZsGtfpYtdvApbrwL4uESpTjQtgkuRgyafl6dKuzco4WpTCnAXIM/KZg2eV4xQ9twmTJ6qAt3P2doeStkAMwgi4ijlc/c2ePpEA3wfIZUDlZsbUgouhaxe1PIqlp+qMmtnNT2lTKY2gnKPa2YXRpHHlZckvOYFPR47VmeUBKTSZ6AVQcrYZ8m8cMYY3D6bsc+Cym42jVZ2xqQxYKTAKOumZXo8X1ElSF2aZaiLVUOOA3w8LmEM+BfJdF4MX8X3slXClj6glW3w0DEmjfHe92efRilFt9uhXvMIvGqB/je6k8SqXzj+y8cu8hrMXQV1xtjlALPYgaCQJiWrMGfsDODF5NRcojjmtoxtcqb28ufite+CS0/FhEHEk8cFX/hag/4ggKaPFFnlICV7cI0sZunvLJ+trBYl81mrg+THEj6lAqwo9mm1Il5z64hP3TnksSMheAFDLQmcFlfabrBblgYiJZcHpGMZRFU4OZ6ikC7Ssnm2qmRBvjYW7FIXiTahy26Ku+a6YPbxHMcqgI+BvoKrZ8BbRS1k+BAeZ08+SGdpLzpN8eLBEokQkMQ0Qhugrf1vizX/4YvdbTlr5x9cVO7gNVlclsBe1tw5yK3eLmczlVtxsopC287lXnvl+eBj4HaHn02hdQX+nkrs4cX4fkxiUm67p85dT9ah5oG0Dc1+qYS3UhpbPspfrPGozNQmq68gb0ZO87F4BdBHQ5+XXNPndS/s89TxGkniY4RiIDz8lPwzibRg8eIjrM3k5SH2SmXMbdncfm03Nsh0eO73Z4yerbaOwfOhnWPgrgScFZAbyjtgiNVQy78YP5X2LxFkpQAGj7PnhygvxRiDNzdj7a7BEFbaccWbvdjjmWWJWMXYxWv7hSwDvBTQlncWqAC7IlXKafrSocbArUqHV2yCmgHaL4E6c06sY2KflYoJ/JhHj0k+8pUWEID0EULlXUTKbaRazrqWHaHscoj8nJj8vXI9T8HcJQ1uhN0RQ7nRD/k+8R7GeLzt5QO+eO+QBw/bSQKxVvRT4Qq+HOjSDDilOpAxaBhjLIuXgJ59VznQa+n288mC4kx7S8fmwj7n11CXBnaW5G6FzUuSpDhfzxRoXtw3t46QjR2S1NAb+iB9MBrPV9I27roGgHxvFVNchDXBPPaicgJLYK5q8NKU1THdXUgV4ZIFhfWUATyfk1cGuWtNKzabsjs7FAPwC3BXWLv0nDXWZlJFqQTfT4jThDvur/PEoTr4PkgbXAbClCbHlgMrsSqwEqvPWKVQrSiAylwNqlrctbJp5RyV1GMU+Vy9e8hLbrIsPkgti49EwFCDl4oi8Eszu9ACpJAo9gOUC5vK1qWSYJRBGmFbb40NRIURGAHSiEKqlILKgr3dddXlG780132NPIg9S2sAOfv5tYCdfe5sBFyCTVK67n7PgKvnJl+ehMYmYsrlsJV/cvyyicqHKpv5+R9S+sNy+2rMManuETNWfyLI997Jdy/Omm8rDQ/F1iVKjYG7NBQ/d09UivJKAHcSJfBiDp4VfOBzLUaxDw3fyRPy1jRV3iU4v3GLlayiV9a4OpWKzJJMKW8OoM1aWtyjGUq+/zV9bruryf7T9uZLtaKfKltlmLrkT7Z8p6JwK0orSZY2KQNcmkKLS6fRpTYYaa+RkcICXJdipYzJsxKPUrBdIbISoMsefZkEqwmgtdi8BOzSzand7my+i9UwoH7nt39rQ+B7//XkyZNXGF0FXhE0FMxaPpQo6+RxSTG2V+X497L3ZTYO2D278cA5cMeObGRC2ePOn71Cd1sHpQru8l49RTGV2/3Bi/NmBt+LSGXE+z/d4M++MAVhCKqGUh4NZagr48ZRkDc4+6XWuCKTWk5ESYrJsFQC1CKWKGzH7KYVEtf4W/RCKmkQRrNtY8TpBclDTwQkwk4e0EIhhC2lXSvuqbKjyDlLlL82JVFjivqjQr6Uurmolh2UO7vWPMr/zVg9iTHCzQ8vnqsxSqm0QZf+O11e8axMufzK52x8znNv+ZJ34sSJqU6n89poFCGVsgxeYphnkin5icnvspKWKltApddFAqDsnozVoJRZu1IHbiraW+ZgKCSJKmlvle/0UNqISpkxSZJVCmbsHeN7MQfOSD705QZ2/opl77xzP/v9gsp4YVn6u8uBpih/UZJ+FXDocm1IMVfQZM212XDTVJEqp8VTj+95RZ9P3NFg7ykfZIQRkmHq4+HqRbJznbqrmGaJnwyqJelk7NcG28mVfTbpQCUNSGNlS6a7pbG/w2jnj2sXoFZW5yqbrylNSu9Rfh6j8FxcjbF3cfMI4jhi0O++9tzZU1PeSrtPpzskSTU1zytu4mrRYAXlawWZZVuw+MAiX3YqtllZlpR1rKy+LgPcdpFk+rv0OgNyVu2WafASuO1EVu2erR2olEZlfrdKUDJBOXmSqoRP39Nk78FCe0shrfedd9Cw5gUUjH8tKhdm7FQW+rt8obQYS/jYzned2pmAWQo/ij2uvHTEG17Y4/CHQqJUgfBIhcdACLzU2XcZ+ZA5KoIyH+chsLvQxghU1gCAlSbGGKfF3SFMkeIXoKUFvs5kSskHL4O9DORVYC8DeY2Asoy7MibH8eopgxIRSozwjBONWeIk+0PH/6OMddayAvM7raLDy3bQ+B+4OhGwdnNDlbWzrzPWzsCeMXcOdFVm8kJ3qyyIzLY4kRpPFkPzlUrx/ZgjZxW///EJhtInm6BVdM27FaRcA13WkxdNIFQfuVOVp8ntCa7MVNdlDS4q9Smp9khSnzBN+Ik39/irOxocPuOBikF7xMJnIAQqLRwNWQ42x0CesZ8BvOyGc+9JY9PzBuNYO/PEdYXNjfs9WgqEKVaP1WaCAz4FwMtgXx3PjYF8TFWMN99YfDmZONn0SGOPVsPOg8620dbZYKKxu6XyC8eWkfIdylgiJ3/tqtzWYsAysMUYa2eJlCq4dSFRZJXBvYq/7cBc8btLh7Qs7nsRnUjzR5+a4PSFEJTnrEHp5Imp+N756/LfXmEpsSYTVYBOeZnNGg+gujNdNrhHVqdgSUWaeGyZG/Ejb+zyax8IaMc2IDBGMtLK2oZp9jkMpIJCYRcgL/7ffkc55Lj5TcWzLBwfKU3B4KZ07ZxlaHIGv0jAWWJrnWGrjKE1QF6+N8suSjGxF6KRZqULKgBv19aIiTDh/ClDPxIkia0FFqLE4GVnaVWEW6oMK+uoEqizViW772IVCOPMnQG7YO1iSmvO3q7gvgB0ick97Rhd59LEyhFdkioZYyf5s6divDDmY7eFvOejE4y0b+WJULk8yZuKxyyxiu7OJdkaTLAGi2fnt7AKy6DPUvZ2C48su5mn8LXdCrzmJfzYW3ocOB7wvk9bLQ6KVEiG2gacMiVn8KIAq6DEAiymEtwpU0gWYxybi6JQzJKOLXU1lcSPlTF5XbrDgy6TXAUzooofSkB/hkWxEuAaSFPDcjfhxPmIdhTh1fwevjckNUVll3TBhxEXuTRjIM8/YOlDrbaCVtcmrC7MMWMSxZSCTLdFd3nLQFV2HXRJqmRgLjG5LKoDc92dP9tZg0vL8FdfbrA8ysBtAe5Lq709UZUnlVUns8vWuiBj2rGcSCsvr5WqvvGtF/VYnbiUKK3Q2iNJPSaDlDe/ss8n7mmw2FUgY9CKGKvHx6sLxfgFvQiT2zxQkRTK6lOyYNM4Fs8B7XxybRhjbHs9EcL1OjgpA8UNtwaWKnLlInxRDjIxtjYmMsImvp44PMHyUsJKVxL42Z1TLGPfSJKUn8sFWgJWtaOtGZCV255EobML4JiK9i6stNVBZTacpgB3WgkwsyAz2+fGK7G330i47as17n+iji5pb9vUkMmTar1J3ppVYu+y51+2wi/KFJS3Ly8kyngzhCkHnUaiTOGLJ6mPpxNuvibi9c/v86efCUBFICRGCEbaQwlhtyDJr2sB6nG5klmDxli7NmN2JQsZZWSpUEzaQqcKc2cqoIQBnZFYxtYm+15haV6UucVq3K31kFIy1fTYs8Vn3ayPF4YKP1B2+dDFRZFy9T9WAW+ZycXYBV6DwTOZkhXF51JljLGFGGNvUQV24aK4r5XBcyPGpHSOiTROV5ckSeaYyJJEkdY9Cf2YwyckH7itxbluYPe7lnbQuxIUOzaMxQurdHfZd74I21SYByrB0VrNyOVg01S67u3+OfbZbn+yoZnyA6/vcc8TIYfPSxAxoNBIhkKWNpGyoMpALcoXtORx5/+fZzPddSizubCvMzBnsiVbie33stnvwult9zrrzRTFa8qvc3bPPp9731TzmpU4T9punjhOiKIY77GjfXrtAcvdmOkJhZKyUvKZ/dtr3V3j4C7/TBnQCEpLZFV3Z0tXfuLz+uoSc6sM8GMgz2dkj79Oc+2dsbiXjQNWCUqmeM4WDIKYUar5gw9PcNfDddvbJj2rvaW0XTuimL+Sf9ZsZSnfzGsweRnn5YuyOoNZuBbFHu/l8tlyGa1tN9OZo5JqEumhEo+XPDfiR9/W4Zf+IGCUSJuB0pLEuSpSi9Jnc55DeYSDsS1plD6f/VqUYgPXXW/AuPEiUor8BsiDzvymN5V6FeHYuxxQjktZLoKz7AYok6/MblSXPJyZ1Fy5s8OmDeDVpEeEJE2K/+hidbzjHmUF9GPvFR/SrCp+L1iwPNhnDfYu7T8v15In0uTd3nbbbF2SKKWxv5nudjOu8+BSJvhBwlce9PnEXQ1GkQ91L9feOXvngS2VYy1vv7ys2mPtpuOKC+CAXUiDovjKKMfoulornmqJ1FaqZEBPEo96I+HNLxlw+10DvvigsrahK86IhccgW0Xdpywq+Rxby0ycmtJnw1mEGajd55SgyAwJ497PsuAmd1GksEyv8+0HXeApWZMcTQboi4K8/N9ZeSSkdXnA7giXpk1G0RTers0hi2FIb8nH92TFny5fxPIdUwHzuCTJf86sAejVLC7KervsLcuSY5Hp33w/dft1rr3zSagFsD01BnRVgNtz4A78mJWe4bZ7Guw/W7PSRNiSWJFpb0FpgpRZBe78b8vPiygB/Rn0SQZuVyiUWXLjKewc3KuGAxU1KlIqpE6R2iMeeezZGPP6F/W4f29AO3LpV231eIQi2wdC4rzxShltseYYTA4aHFsbbKeP23bJsXkmVVzCR7ga8hzoIr/umtL5MwXD58D9BsrgYjiUZJLOsNgRHD0TsDIM8WYmBCSCqZYsSqnWAO1ay8nqD2Kq36/8N/ZEZOyeFSlV2FtkQWUB7ALcmQ9eBJcyH8xuKoxdCSizRE7ZRZG2U16T8r8+U+c9H29hhGd97wp7U2hvucbnLhNA5eSXNOIzsHcl3cy4/s6YfHUrW77prtboVKKl9cWV1MSpj1SaH3tTn0NnfN7zCY84KUCuEYyEROlskESmFUogz0HtdIXVAQX8hXPZMjbHZTaFyKcxSJFJlWLERKaTjShpb1EEvUVsUJAFJUyV9bldNdx/7whBCLs31GCYsNxOEF6Cl4Ek8Ex+Mi8mPaq+pVnzTqoCu5rlqzB4OagsvZd53BmzFzPxnPc95pjIDNxqTJ6M7Vmv3N4zVoPH+EHMoXOST9zRpNfz7ayMcfbOa75Lq4soEjyi/LePvYZvnOQpGLwEeihpcVFxT4xrOsiBLkvbN0qrxaX0iOOUVjPhTS/t87m76xw665IKdkA1qRAM7FpjP6N24DYF2E0OaueW4JI/+YKTOSlZ6t6yt3JgLeRJFegZsOXYKp+fu6wPeFWwWRDqmvUsWXLJQBxr4kSTJBovSkNGSUCc2B0Q5FqAHgds+RfxzKAu/i1TCl7LDGgq8kTks+8K9yQHd8bcojyYPXNOdGW7DVmSJVI6x8QxuecljGLN7fc1+fIjdTscXPoW4GPsnRV52crJUjCcL7XV9DOlc/bNPnI2z1P3Y1VzspApxm1FYnW3LmSKlqRColKJFop45PHK6yNeefOAk5/1GWlXJG0roUjwGAqQurRtlRA5w2WpH5UvQ5mj4mrFBTnwjRAF2TsmNcIFnhWgFxlVnSd7ilk5QmDLeks4yuzB/Gecc1Mm2dzWdufc9yVTkzVmpht4c+u3rvT6o88hg+/UJrU9dhn48iDAVMAqLgLs3C0pS5Y19bfJ//1i+cpAX2LsHNgZ0Iuy0apzUtXfKk+/p6XXCVLaTh0ZJNz5YMCv/8kkqfEK50QqhJB2HyBRpOWrDF52fNZm77VyBxdFdsaAq2SKqcgVTTb1yhVjicJRyTW5tN640B5JogmClHf+YIf9pzzufECiA+Ega/+AWCsGlAWVKcmSNTR57oW71Tb7vC6gzHS4cDeAphglYcQYjjKffKwJoiJRcouwir+quhD5ap+tmo1Gjempyc/t3LFtRV1+2bbe8tLCYSH4UWPi0pTWIqtY3jVsvMKv/P543YhUqwumykVSZU+7qAwsW4ClRE4poMwLqi4C7rJU8SoJHdtreWpJ8OsfmOSeR5p2Xoa07WhIH08K6hJCidvkyqyu3a4crgE6H5JTHUaU1bxLNdYwLcbOm2O84qY3Fz3f2QUtWsJKUq/8PQPrZhNCz3D/4wErg7L/KwCZz9cuKg4zrVuJJL6Ju7V0I2S3S0l6OUEyVpm6ep8n+31RXdny19VdRLJAOBvjlt2TtbDGwuLiDzz99N79XugXJ2mUipLuLWvn8l1V/FvjsqVg9HHtXRrlVZYm5QCzsi1GVZrINTR3tsPAmocqB5auFNa9ToOUD3xqkk9+tYmpKRDKolN4CCkr/ZZFf+MzdMyXmCQ/Mauv+SoPfKxQswIIoBJoVucXuiDTzQ80jrmN0UWNipBIrUiFhxykvPllA54+4vOu93pEYVK6iAKjfUa4JpcsAEutiW2yko3sUwoLUiXJ28CcAWSDzYyRnWyx9mCxIGTX31AKMDOMpNlHKgLHqv6uBpw6x6XI8YlzhKI4RZPYpuPByPqg2o0ayEcvyCKirWhxLhZcFprJWmamAvhxi7BwTgzjI3grYM8YXjiAl7R3hcFlWnJSyuBOkaXaky8+EPInn20yTN0UfJFZgy5rKUxFe6+Zmi8DvXJjj8mVCtjXZj/jgrvMe16V0cSsKqE1spTZlCVnRShbmCVdcZbUpNoj9DU/+Loe9z4W8MVHrF2YeeNIgTYeI23b0QqXYUymOKTmUkoIFJk0KYE8a3ooae7sZzLQCgnSmApJmOx8lQZ25iuJcGcqw6FL8Rvpzpko2N+TEPiSWs3OR/HixICxe62ErvVKKuMaaksFMBkT5UHmmCU4BvSKds9S82s5JxnAy/ZgGdyi2NlLrdLhuuqBj7O3TIsA04vpj+BX/niSI6dDjFfsllzR3plEqgB7DNCsAeYcwqKK52cQ5JWdDKgu04Zy8VVZj6+uTdHSVRzKMosrRKoRwkNGml1bYn7hh9rc+zMh3aH7Y9zuwSBI8RhmS31W3K0LkBsJaAdqQ+6wKBdQGkm+J7ARmQ43pSRPKWeQ/UwFL9WR06YE9tx6FWOn1djvZ+W4ylk9WTYcwNuxdRYhFdGow7A/wFNjs62zAHJsqR13TcbfyxyRikwZY/PK6N01JYou+eClvkTH5jlzV1yT0u68zvP2vJgkhd/7WItH9tWs5y0z5i6cE19UZYkSVdbOV581mJvsgohi6OZafL2Kyceck6IBgqKYKdsEbLzaUFgGz4NOLS3IU4kW7kidVNGaG66I+cnvbvNbH54iSh2LQx4VpihGOtPiLtdeAnkuUUQpyynsBr2mzOYShC6YW7ops8YUsmXVSpjLElHBUqEULjY0v3BUUmGIYs0sdfzaBCJJ8V7+ym8jDJucPvEkjz/0GRCh3Vm2TC0lAhoHdPFhTIXFV48KGHdQqoAuAG/GZEp1f8aCvdNCl5eTOpXDBZa1lC/dF/K+j7VoD3zrATrPG9eka52TImtZLuVVlc+9Wn8Xq1x1ilWxv9oYoMdYexXeK0A3lBNABWu7qbCZJCkngYS1EVOpkEbbepVEMVHT/PBb+jz0VMjtX1fQSBxTu08oBYmWDHPYFCA32NJYctvSet4uVrVlvZmEcZ31ZfmSrd6GwkEZB7sQIDLpYqgwdwVvrD6h2XnrD2Je85rruenG6+h0uniNmsQPFa2GYbIZM0p80rRUzbYa4xVWr5r04/uzVIGdBZNlS1CMy5KSJClkSrHDrgV4WvW7pbUCZb6vug0spUyQXsK+Yx6//5EJDi0Gtg3e+d32WRbsXXaExqXJuDypSJM1xt2tTeGFrB2rRSlYvEis5I0QrJXGHxsSlBViGZ1vKisyqSIMQnrI2LB7JuEn3trl2DmPg6cFxisLLAHSJ3UgZwzkmQBWOdqc3w2OxUUeaGZxW87iJemSmQ4Zo48bF3nM5zx1t3iQeeKrCaHI+rb7mlGiEMJH4+MVeq5oOxIYu4fjMwwkpwxkqmCugrwM7BKoK/53dRMj5WRIweQl3a20+3o8mVMAXakUKROCMOFcW/Ar753gE19pYHxVpOOdNFmLvVXpBlztnFTl23hSp3yxCj1XBXyFNMbAnr23uialrMMzQJcD0KzzR7qipuy1Cz5TTYLGl9ZVaY8kP/ubivMrAsIy3QoMXs7khTxxN1r27FhbSTDayZfcTREuyKwyuZDWLTGlBheT16MUODKl1+UY0MLRrDqJxQ1vf66YWymQURKQUj/XH4ZfMHK9DTe86ugFOXZUvOtytlGulhmZh525HoXMKICbedwVh0QV1mBed5JVDI553jILJlXiXttakwjNp79W50sPNFytSWYJSsfgGXsXuwaX5w2WNeKqstiSFi+vZOPMnYN/fCkcu1arZ4e4vdl1GeQFc2edPpkeT3WW+Cml9o1EG+Xes6+TxEMYyaueP+QNL+gTiMSOg9LZEYOxFltiYKhhpAWRhlgLEgNJPqQfErfHZqKtu1hsReh2q3DAS11WNn/WkKbZzhbGbWnofnbVv2UPXT5K/07ijjhJ2bltlsmG+sLURO1co6aQm7ZcyvH9Xz6mxPB/rF8/hyejaiWeKsBcJHPKgNUVwFeBrd1GpcXPqNLPl5M1lcKpypCbwiWRpZ+VeXVgWnFOpKvzToTmU3fUedcfT3BqwYdAWeYuBZbCgTvPWo5VNFbiiMrsE1EBcBHdiwqoywSevzJrYnzszfLAG7FKkuSAzyZgud1+MyAbXdSo2BS/7fzRqW1xi0eKbbOan/2hDm98WR9fOHCbEtBNgtHagtxAZCzIEwfmRAsSUwA9rbwuAzTbPa4AaeXnKiA2bmtxUwFx5XXpvewmSVNDkhoGo5T1GzbR6UX/46Of/NKxq668zO7Rs25qEeUFqGSFqBMRa48kFTagyKJhYypLb/4sSrqbLAgr+d7uexWJslZgKcb2QM9kiipcE1mSIhm4ZSmgzCxB3085uiB538eb7D8cQkvloLaJHau9M2mS91ky7tGzdsd8KdjMVaGoBpRrR/yFi7JWsseyth5L+BQuiswzftX0vRQW5FKY3BsXGbO7egIhtJ16Zaw3Ho8MV+yO+cE3d3ngiYBj86WlKg86rQxJEAyF853dCDejy3UohS7Pa1Sqqsem66X9njDFymhKBFF+Pws283PnAtNy4GJzBMVOzd0hnF6KmZofMhyOALcJ1fpNe/CCOkYnXDh3Ah1rtFF5fW/WSJqzUcWfrGYnK9lNMaa7S5ZgDu6SRVi2AUUeXGoKNyUrnCrJkvw9y96eSlnqCn7nzya445FaUSWYZSwduJXE7VBcHoNcxBCqBOa1bMG1gD9ugX+zj8r0gvG6lBLIrUNhAaXdbEAjSuAvZTqlMGhhENqeay2U/VooexsJTdrXvOz6Ef/iHR3+8x9PsTwo3BRrxAsHco9EitxByUCOtkAmA7wji+wzlva8IpuMZYSdiZPNWBk/h6YE9OxcCvemWGP1y7R3nBqkVFy2eys3P+9Kuv1Bdo+C19gK4S23j4aLv96o+0ih8zslZ+AK2xapdSXX1unl9Loq1Y6sliJFjYlUZbdkrCtnVXVg9jqpJHSG0vAHH2/y3o+16Ma+LaTKmNu5JnZ2X+GcVIqqKBhlPHtZYeqLWFaVcRHfBNLHu+tzIGffK7stJbuwkCxlC3F8Mq2VKll7WzbAU5tiD86WBz/6li4/9uYudZ2ATp1UScHEJbliNfnIafLYHYkRxJlEMU6L55Kl/PUa0iXT5mZMX5c1t6ke1Q764jymqUEFdU6eWf7117z4utsv27GxALjwLuc97/vZ/m33Lhw9Pu9h3IcrT7aq1JBUQD2WXheFPi8CTM14XbfM/esS4EVVd8v8cM6IKDG4qjK3lAn4mqcP+/zF7Q06sZuMSQZsLw8wBU6a5IepaG9VAvTFspf50ilWv1/J/n4TSK9sbOouXK6/qe5lWdwEpabksv5e1flTDjyV1eda2RVaK5JY0fIM3/uqHldeNkKmZT1eBntagNxgg04H7sSIPNBLXSBaCTbHAsXiudDn2ozpbLMa7HkWtwRu4VYNgN2XaPZccuLoL//GO/vXX7mzADjALTd9Hy950T9lcvq5LKxIotiemOwfEaLwr1VFUoyxe8U5WZ1irwSbYhzMZgzYhWsiy/JkjVS856c8dcTnJ39tmicOhhhfFrIkZ3BZsgVNPshnfKeGtazBtWRKJbFT8WgLe+Wbkium+rLqi4/bhcUW3JVNXEt9m/nAICNzf9yUJmNprdz4N0VqPHSkuO7SmHf/7ApX7x5BnBYgz4/Ygd3kgedQQ6QtyHOHxRSuSoXNSwyux5g7A7peA+jpGIuXpRtO2weeoBWm3HzdVfzAd7+D733jW/PzmQN809ws2zatA5osrHiMYjsPL7tIqwuhxoLECnBLoK/YhjqXIhd1S9aSJjJFiiq4MzvQglvTNZL/+fEmj+4NSVWJtUVRbwIlW7AC6qpzkrHy+NzBVWMhxn3x0g3wzZD3qgGnJYTbnXvHluNVzL5aspT328wm02b1KWZsMpa1EO3OESKV3HDliH/2ph4tmdpB22uwOMZ6e6mGyLF52T5MtAO5kywXc1NyRq9Yg2KVNBlv/si+l50vKWzN3PSEYHpiAr+2maC2MT+vXvYiTj08HRyKdOOwUK3dRveLpbiUhBHu63IwWd2b3IzVnVRb0IRzS1Z9zzG6KAWaKstOSo0UqbsxHNhFghIpnp/S1/C+TzT5yJeajDIwjzE3QtqTIcpb7q2xz06ZvccZu+QeVZM5VXuwiuxvJE/G2bsoTx3X4RryUcZVbzwDvEFrgRAS6ZJAwgiEq1ERRlp3whj7Wrug0xjS1BAIw1tf2WfvcY/3fbxFL8aeMO2oMHt2DWyplkUg6VL1OvPu3bm1ZbPZa/LZhlma3pTOt03xuxZoU+2eyisRKb4uiMKwbnaCjetbh6dawSEl4tUMvm3bFs4cv/cL27c2P7h92xS+F+eNBdVqvwKY1QCz0NLltLpSrmG4VE9SZnSpxrORJdYekykZuHMHxUvoRvDeTzb5L++d4MKin9d2l2tN7CFK7G1WZStXzWwpOSqSMbCXvx5j7cr3xDODO0N1udAqf6/yZbYX+zhbl/zxjLGpSpays1LV5aqyVaEdAafYOKv5+R9q80/f1KUVJtZoNmmJyZ1UMSkYjdZWj1flSsHm6VpsbookUDnwrGju0n8zLl1M6ecSbf3voDbDKK1/8JOfvfsL69ZvXs3gALVQ4fnhZyab+o0qFdcbk1Ray8qsvLqQ6iLMnVuEpZ/Jb5LM+64ytxRjAWZmC4pS+atKkTXDJz/T4Ff/aIJzSy6Zs4q9qxlLX2RdQ4VzUvG84SLet6iAd7yJwb4lvhFhf0M2L88tLKSK4/Q1U/c2VW6nSgm7jbYogC1M4YkLkbE27lm6VdiyONojjgybplN+/oc7LHYkH7ytBTW3dKxicvvQSGIs8AJRKrpybK5c2XU5hZ/NX7E9lkUjhHTsbKsQyS1qUbIVcb9LC5scktJjEIlHw7D2mTgZVs6pLH9x2dWvonv+E/dMNZcebDVS/DyT6TKSGUNXNHbJqy7/zKrDva9WuyQFuB2QVYml1wC3lCkq1Bw65fGntzU5Ox8U4BZjh5QIp7kz58RziYnxTp1yI3QOZqqyJA8eHX2X9fc3qUpyMD/j90ve97g9tsojp8hqVl2VcuBZBJx56r7E4mnJYUkiyaZ1Ke/49j67t0UQZfo7c1jKQahl8iy1bx0Wq8ljdySmFICW7MQkCyTzz8zajkp5W8WKrocogUGiOD4fP/jb7//SPW/7rldXzqM3fmK1dxkCSaL3g2i7DvdyEudizG1KQdnY+2OsbQO4LKFTJHKKm0UjyjJFlDOWKSrQHD7j8R/ePcVXHqrZBsqK1132vq3nnY2B8NYYbLTWMJ/Kz5TG/V6skjCjlsqNMf7zYm2XJLsrynvhrBrpVupHzNjbbspqs3nC2I2h1irKElhgCC1dkkgitI2HhJZZyEoqFGjLlnpoeMXzhvzyT7b5xXdPcuRsYBkC8gQQ2Qx5CdkM2sTFEFoXblXG3tkICencj6KGnvxnBC4J5P7WtXS4yas37Qmcm6pzw3MuQWvNZ8fwvArgW3a9Fim9qNPtkcYreKpaaC7cb1otWcZkiizLlGpgKRyghSjJkgzgopAmlrnLXycoX3Psgsd//J+TfOT2BpFwu1HljF3V3RLL3kWd9xrbbwuzSpKwBjhzAJd+pmwHPiNxl7+5Vj2KxcEqLW6fSyWz2delOnEy0Fcym0UjhNQWwlpYkIs8E5oBvohiM8mSaKh5CW/7tj6phl/8vUmOXxDgZ0xYAne2/bGDU2pEHkBmvZ0aO+bNuFvB5P+McLdG6V4xougGohQDlU+jseSiBFy+eyP/9O2viuIk5f995zcAeLO1jlq9+TNbtm66qn3u6ZfF0YhUe5XS2TIrC4oa73HtnYNaanfiymWxuqLBy8xtqwxTd2OU0vBeyvF5n3f+7iQf+2KDSLqt18RaRzljWRpe78hnTWlSWp3ySsFxsIvC715TvnwzgeUaj3Fcl+vCV6ft7S/N9vbJGHzcK8/1d0WHl0HuxsG6jlDtwJ01FCeJwfdSvvc1AzwFP/e7Uxy/5PgsMAAAK+ZJREFUEODmMFdvQo2jWHvuNZIIKy98KfArf4vrAiq1tMn8tdPfjsttmr5YRYX7nRqIYkOz1WLrrl1f3bF92890ut1V53UVwOuNFp/7yu0dmB3UR5IpX9s7vEREq2pJMiaXBWOXAV78bMHa1UCzCm4p0wrQpUyQKuXMkuLnf2+Sj93eIFJj4F5lC9oiJF9Wu3TWYu8MzOW5jDAuRcb879I5K16bIvnzv4PzVeBd7YsXbwo05doTK1OMKWFsvOJQFCDPWF3orOPI1o/b/85W8gmU7XM0hiQxeGje+m0DklTws787xdml0t83FnBW/yxJgktKCduX6WVBJpbRtdsxglIxVv7fZwVWmHxD2eJ71r3ZvlGnr7w53v/EEx/pXHfd21Z9hjU/2i3Pfzm3PP/lT0xMXDHsDQLSVBYX/CIetlRj2ce83rsaUKq1rMAxcGe6W8nYOSaa1Bf80adafOTzDtyyrLnLzyVwi9UZy3HdXdXVRXC51niIsv+9lr4utrwT/7v4rmYzVyV1qr53OQGUW4KsZvBqiW3R+WP0eGazmvFMjSpZiQqdSrzU8LbX9PnhN/bwbI1qKfAsJYHyQ7vg0waTQ+0CUJPVlpPXsBQZUKvdywGocUFoeU4jWBdsuiGYCmceP3eh/5O+t3bYvibAp1se+x7+5M+Mks1PD6O6+0fdsrxGFWC1+70omKr2VWaOScbeaV76ulbqPZtlIpUGT/CFe+p86AsNRlI5qi0DusTeFNKk2FenBGjKQDd5ZWBlvx0xBnJ3XsZ1YBnQ2Q+sKpP9ZsBd+sGKTKFg9VWuiY3KVlccOjeisrlqqTmiHHwWz0Uxls14Zul8iXFpfZ1KQm14+6v7fNsLBohUF964ia0/Xq4pz1P7KbgVJtauWMvYLUaqLovbittUU/sVkJfOjcQwWZe8/MZLzYkT9fTKq75nzfPrcZHHldfeSpoMPnRi76OXJ8Ne02pwN3Y3Z24nMcb0dh5YCnKXRGQSRRo7T6kSXBZJHZElckSK9DTCg7++q8bP/O4UTx8JXcPwGsAuB5Yiy1aOB5bVRE51HMRY5izHbHUrvHHdUkndj4H6G4J7LI25Wp6IwgOnHFiOeeKlmv3VPrmh7InbZyB3T+yuwoLCYUHbm19ru/OHcXLFpHDt7pj//q/b/LSC2+5qWD2uSn+HFf+g1diJsZunJMZ64BpIsdpcG2vMZMOCVF4vW5ygzFVB2MVhaARbp+Z6L3rhzR9qNmoXPcfyYt+Ymtlq4u69vzO3cfuClCN7d2fXtVwxOFZPUm0a1kVN9yrLLwN0AewM3ErYIT7Cg0/eWeed/2OSp486cK/yuqvSREgXVFLamSHT34yD+hnkxlquCquP8kOMvXhGr9s8w/tjNSqZU1L+elyvV1L2UMliVrZBKb2XyZTMI8/rVkqltlmHUJoxeSS5akfMr/9Um+94Sd9pCb2GRCkfmWeuAVvHErsM6EhbNk9yNi+qE/P6lYzJ3alVEqI05TnXX7bwubsf/51dO7de9FRflMEBOvq5jKI2B08dYHaiR6ueILxSu5qoypDM+ivswIK9c42d24a69P00vwmUyGQJfPKuOv/+9yZ58vDFwC0LJndM6+fSZPXwnqwLpzJA8xuBvYzZMQtxjeLBEtq/eR1uxi5Pztal7xd1KZbV80xhhc0LT9yItdjc6mzhOu/LLgtGWmZ3dSra2TNCuOi1VCVDBNfuivkv/7yNMfDptZi8covK4pvGXrPMM9c4be1kZR6EZt1B0tK7kCYfutUIDNftmeC7X72H2ZlJ/u0znNtnBPjI7Bh1+of/WWPi0r9MkseaxR6TOgd41nkjSm1nYhzc+fu6cFIcqAvHxcoSIa3mvu2eGj/3u5M89f9r78vj7ajqPL/nVNVd3r337UuSl315AUIiECAJhLB0WFpBGUVsFz46DrYz2ioqOjKtgvTYgrbTLt0wjh9se9D+jG3QjLhhpF0wgEmAADEkIesL2d++3aWqzpk/Tp2tqt5LQl4IMH0+n/vuvafq1r3v3m/96nu+v21vJh3ciFlvGo81kQkMRswJbOudoCTWgjEG5jjYYSc+yDPAfnp8iKvLbpyeQAMX8mqtpEOTfpgcnRgOJGKAXtASIRMaYJeyoVRXIiVa/Q9UqCqgAOEOQiYFRQA1jsVzfNz7kSEwDvzi8bwhZMt/gEVRnI7+h4gEu6iczwiBT4AgAqMHsUB2qdDOVRAXE6eX5wjjuXDu9NHGovefp3d2Vif6ficE+PTmQeZ2zNo42smGurc+UyjmK3CdMPrRbSeOBi43eHcEbHDDujMFdCUJSuA7DNwh+OWTOXzq6/V4YU/kgk/j2tSxwE2JduiYcmAyztu23qmOHkiwkxjYiWXlJZQV4MfjLbG5GAsxNhBlruOhtPai0wC3eTIw4xBRHieBBrqlkcsahxEXFyK0sOIsqr9GZPuGiJNTCDYiSmU7ILUAi2b7+MpHh8A5wboncggBTZgJtT+gBLd8TERBfrlo9iMuHhLAYwReZM1DLr7jGiGohhyO4+LSlZcP1TfN3ri3e5BNhGE60cb6xlbUFet7GB+9qbFjgZ/PHUOhrgLPDUTXspTYbV2UJ+LZEa8WIA71jTIQGoJEyokE979tyuIT/6MeL+yT8SUUFhWx7sWNAEZtEzNLJyXtzLTeSLfkNsiTcwq7sf3M+ZMdPHZT88ZkwsEJrZyY2T9m/ULt4jcUFWby8KS6YiVIMJ3yJuZlNlCktNQIzpnl4+8/PogrLqrAYaHNyVloy4gyloUbWUPRa1Q8CzPLVQhZscwIeqpAT3kUl19+ll8Jqzc1NtT3dHS0T/i9TghwQrNY/8wuvDS08MDzh8/f/fiORmTcMcvdrrXrqNi8ayYkhLDc7lTHlGiwi4qx3CFYtyGLj3ylATv2ZaDKTJFxFpWgCmEWNUE8O8f0XqZZ7/EoS7LsWiqgTeDHzwC9y3HBnea+Vx5LxPm21MNNjRwa2DAAy/Tik1nUxcwG0tk/MknClBeZqq9i6OYS4CEFrxF0zfTxD7cP4s8ursAJJcjlLW3RKYHvpwBdLDiFbi61coJarYKbLw/w0fdM37360mkHav5W1OW8Cb/bCQEOAIw7+OOG9fsOHvE+4GRW4XBPATXfEyvayJEjq0k5zjjAJtHiUcWWyDxKBifDwVyCRzfmcNtXG7BjfwY8lXNLQEtaYsd4O2T8et5Jd7x5M2oqxjCautiMWXIbvNzaT2wfH9488SB6aphx8wqv34Fr4DPEFqOG1TZODDs52bTY1H5uqCjaipsJzPJkkYAXEYm8StA1w8fXPjGIKy+ugIahSH0zLXmqsmIAXRUfEtq5VFZAgKLD0FHHcNXyZZha732g+8Un92W848J3Yg4OAKuWzkG1MoZMNn9o307vsUO7dl3mOIeQ8bhqEWJyacnDAe2ml/METHNwykE9oLvfxRPPZHDXt0rYsS8DnplA44YNbgIdBusCiewcx6Imdna8qmGeALx9EigUG95MVVTTpCvGySGzTSzrf5zvWWGa6wNxg48rSTzGwcUClRj78BgXh1pkCmtv6+OCu8sFppBZ5UmAKL6cR+WZRbkJbrvnIwZMCUB8hrNm+fjGJwZx57dK+OPmLLp7AWSiDy41clF/AqoErewdREj03AG4+M0DSsEogYsQ58xqQmvLeY9lGlccaslUQEj+uAA//ikAIJurw7EDT+4slgrfmDZjIRxSU+1AXNeH50bPo5ujuplFBTCJmYkTgTsL7Djk4u5/LOGjX27A9u7jgNuUBmGDWzl0ItCaNU7M4CoJyhNRTxLW3nDjx/mJueC00ByfTwN23NljAN68R3ze5NixWBZxohjcWvb2gT4ZGI/zcBrddNaPVSHLtPBmRlCKJV8408c3Pz2Iz/3VEBZ0+oJrgKVYcyO2nNUib6gPsKq6ceajEnKMVEOc94ZzUCwWv/HzdRt2FgvHBzdwAhZcjvrGmXC8xo0uBtb67o4b82QTslmOIBRfOyFM6aSqkRC4MmfSmoMANAvsPODi7vvr8dC6PCohBbLpC8ikciLCyiixXfHWwhIxYBvWe7w5O/xVA1VNp/jgNXUhOK6JPomRAHXCMwlViMkEtnQ7isArrvpHcsPKi4AsM91NvJAYHk8aXT2UFSeazhBpvSPMQhVrhQqhpQFDR3OI97yxjKwHfOEfS9h1wBNFPuUlStZYlpcAab3lY/nthhQ+p1i8/GxceP5Za9+waN7Go71DJ/xdnjDAc8VO1Eb37GvoWPWx76xb7/zx2Y4b3nzJEay+oIKMy0Ey+mfhIcD8qIi6+cNTAuoCuw64uOv+Eh76dR4VmOBOu0WXMKWmQAVSOUR4J2WzVlU/MEZHrHs6zrwBZCsGJW7hU7i62o0YgD9RJCd2FSCwrLIB5vi92G4sQKWDh0XReWYcC0PUWz6iLPKkASIwR+An0qIzZdFBhX+dqmPKZrBRNVsOEfdNRAgurwBZj+Gm1WWAA3fdX8Lug65AXHQVtv5/KYZLgHuA53JctXQUb1+dQak5fHjZxcs+tu/wwe7FXZ2TD3AAyBTm4Pv/9/HuprZrtmzvZjfcs3M9lpxVAXyKh36XU3rl8kU+VpxbA0DAQwPfGWDvYRd33lfCmnV5VEGFWqKQl2K1o7QzyaYokGixLfm2VddbAZInKsPKJi9SOUFiexLcCVpiQjJOtk/SmkvuneDhxr1ZAUsX5+TWdm5abNMbGh1HlBdOOoC04whRLRzRaIdIRYUCjEXxqoqby/noDSKyS6OTCGBgPkfeZbj56jJAgM99s4h9h1wgw9Q/Lq8yKxbXsHxRDYhOtjW/zYEGBLf/xSBWnHchnIbLt4D9pntW11Un9d2eFMAB4Nz5s1Csn3bvZz/w1NxMWPeOnNeD277RiJ//WwGMUHAwtLQEeOuVZbz7mjIWzQ/gUY4aI3j6WQ/3r6nDD9flUZOtEyxwj+PQMSRBEVMS81aafNt6HEtFg+bWibhv87EBcssix6x3fKFpYvxkhwKiZbElyg1wE9NtH1EPwi1+zaMdVP94QCUOqOQdTkQeMecRBTFVGE1XxBvrRGbRVSJq7xNZdOH8MVr+RPMEHCzgyLoM71hdBhjHfWvq8MwLHqohQcYBFs3z8a5rK3jbVWW0NIXi81KCpWdV8bGvNOMffnY2BuniH7zthkvurQzvP+nv9WUxx/6D3wWj7XX56ppHfvvUvpXvv7cRh/sL4ltkARD6yCDAtHYfX/zwCK5bVcW//jKHz99fxMCwA19WQJc6N1IWl4kEBujcysh6q2QGansudca8LC0XS3YwS0ET/VFo5O6XobNm/0pqPHZkTAuVbReJfi4Lr1ORd0iI0Rsz2q7qqhP92agD9d6yAJHjmJ+XR89hlc5zjP3txl12Qab09jA6GVz6NRwVBh2rNKbSDM0sLLNuDdMyMBFOPK2ucRCHwAfB4IiDz95fwJpf5HDt5VV88UMj6GwP4DEgCFyEzAUhwNH+EO//ylTs6lv8h2/evvLabXsHxm6/9aaTxupJW3AAaJr2PnD/t2OM3VLbuPO7GB5xkamrQ8BDMH8MIAw1xrB3v4e7vlVAuUrwN98u4NiAUemSSNqRRlHiHFzzbumOd02uDejMHGWh02TBmDoCbb0T+nbsXj7RAonNtmXzqRM1IZpKyInkvtyaI5qSwFRKYnxdcfJYnAohSqWTnRCUpWbi5OBcBD9RBnBHmHsZiCVUEAKKiJtD8nTJ7SNLTsU6AJwq6iMlQpcCbY0Mn791FLWA4I73jWLOjABsjCMIXNT8LCq1PMLQRV22jBtW1qGx8/pa7xgdu/3W1S8Hqi8P4OKViwDGNsycfc2K2VM35f1agMMjLobKrloszJ8R4PqVNSxZ6KNrdojDPQ504IC54psgziRKHPYA5aWUls5OZIhREglo2DHgUtYzq8hOdC9BnnDVq+c2KuN4JuNuiYEZcZAa8/K5AVhJZVTisSr1FIGbaC+nAHaUd8lFuz2L0sQfE1lnnIJyFgHYdvszRMA3aqVQGqkycjFKuDgpIappIVJ3tu918Nx2Fw//IYO3uAzz2gI4LofLKaojdegZKIFSikuWXlZunjp3AyEnpGZPLsAJacPRnspfX7nijXz3tmMf37ptZ66u18dQfghDIzV0zarhcx8YwhXn+XDzHO97Uxmb/uRhpGYgRttWWNZcPo7p3S7VwVS2t9LIq4RNQybMijdwp1zzMQCnuuwTX0bsMUnda0JwE4lwkrZRA1pNS+ttnQjGnHE804rLRZ3g5TwGcIPLI0VlUeUiaMS9GUjUxlCdACp9LlJYIKJNEZ1gI2WC7/4sj+de8PCnvR7WPZ7D524dwsKZAQaGAvT2Odi+p4hpnQsrq5bd8LVMNvtZQgovF6anYMEBtLfm2Nq1D9913jlT/a7pY59xnS2ZUvEIHn3KxdJFPq5bUQFqAKoEV19UQ0MDx8hRiYAUWqJiT+w4E3kzm0SlVYM1pcI0+hHXvePgt1z0KQBOC8JSmDZeQNKAOiG604EtQWktNCUAiYwXt7VxS0mR1h3aist5QuIWHAaYxXYmeQeFKDFBEdETeVwJYuiDMBrFbgu50JHtDiM/yMAAxaMbswgyFIFP8ch6B80ljqWLqnh0YwM8p4g3zJ9Wa5oy9csbntz0xcuuuG7CaMHjjZdv+6Mxr9OvzZo+/Z6VSwt3Lz27wp7dkcHho1lMawuBwIFfc8AYUKwLceNlVeEokJxb8oVU7i1Brb2VVsIwNNemxmESGrgCs9GVIm7Nx7uPHUODPZ14jHdinOjgxs2aNzycprfT2ibro0C72o0UBYPemHEosCy47bFMVq+1YlVURlDSGyqjEbkMhZWLDQr8+LEshkejoLmMBzhZHDrqYWobw6K5Vbx4OMv6ai131+Ub79m6e6R2qvg8JQsOAIsveiv27frncntzx9qfP7byC3/zvecwuwMIqxy1cg1+ECBDqsjnQlx0lm97q2R8sAns6JyT1ERm5+guaKb1jmvcsZJr5rxpzVMse8KhIz+FschLtdhp1hcnjW17mHTEuBpIyy0WiJp7c46ozANADD5uSX/KouuqtaY8yKLEECEf2lRFJJ0Lay6oSfRPR3RFJETwyCFEhBUnXIGdkGhRSjg2veChXHFE5w0nC2SyCFwXCzs5/mxJFcsu7OJHRqev3dPfV/7g+28+qa8tbZwywAGgzBci11h60c13fuhj72q5v+/QM5TXKHoHBpDPjcB1A1AYHp8ERXEMsAsguUR8OGo4cCS44zp3WiisoiJIAbQBwMScSTXiFCYBXJIypyeU0hI7CUx1JKGipGyLezTjDiAi+IbuYRl30SPGtQkUx5aue0CrIYJSMFWiQTa/YpEIT5WCwqKFpHDjU+NzMs4jjq9jXKy4YOKAOHnU5bIgQQZPPNOEN65ewq64eO6H9vR2vtiU758MaJ46RQGAs+Yvx+bnvdqbV6984Px5dZ9csbgDLPRQrmUiHRgYGiX4yfqsaF5E9CLSBrkGt9a7de8cezkaA7TcZswhDdixk0AiME5P4qg16UfCKQQzKPbl2W4+ziSPbVRANabtnE1z0WjQFkgnDrS0p3h0iopjlZqQntRYgoQKyDKTlKNFZ6JUhVBc3nxpFfUFJrKEOEEhA8APcWyoA9u6Gz/ZOvWqB+Z1uLUF81dMBjQnx4IDwPlLutDTcyS87s+v23X0paeGx44dLOUyw/BZBQN+gMc3Z/HrTTnh4VAhr2aRTHGuOSa4aXJRacV7QwdOWfHe0FY+ERJrfOa0haYZxx233mI7sfaLx6MgZf54Qy76ABto2pLr0NlodajQrV5reDmJYbUZEbKgzuc0VRKtiZsngm25JfWAACUFBF3hAGXgTFhu5dqXi06mv1sRq8KAkGD1hVVcel4FTzztInDGMFTm4FMbceFFlwxfcfmFu44cORJOmTJ/smA5eQAHgFwuj7zT/3B+7gUfJlOPfO0PTx5sfvCnVQyP5bBhq4fhEUcULEmkoEVxJpKaTABuK66banCbVju1vyXGU1ZICrhtkKYvNE+RZwMJWVADXSCWIwX8hoPIsrqmc8f8rMY2AJrGQFt81TkCht4O6eanoIRpisRMl3zUEpCJLHkRK04VLyCy7iGh4JQiDCnqiyG+8alBbNxaRu9AL36+cQ4uXX5536UrLrxt94GRh2dOefmSYNqYVIAXi/UAgGql50Gv6Tp3S2/+3nVPP9p25PABdLZUhWYKCrsDgwvlzCF2fHe8rbYCr3SVI0k5LLAjmdAg4ZPGt82p8ehKPLAqfqw46MkEZ8G4amKcj6fwc6jFpNygaYh5cijgk4hIqZMgWrByYwGKyDBDW25KuaAhlKtFJjHKVkhrL4i3CNIyF57gPKqSxUCJWKhyJ8QNl42B8um4+frVx3hh5X/lvPbg4oXTJhOOACYZ4HJkc604cGz0n25+09X06R19X3JGd7Vdt3wI3/pRCb9+KidW0NRTvFuCO1nPRAdOmbEmkoerSMG0W0wuNAGXyMyR22AcAPqexA4idklZbr4MepIYaS57xDj6OJq3pCoC+9FnthQRrrbJxSGPuEnCekcGQngtZTiscOuDUlAwY39oTg6AUdPMAyEAEjJ4HsWvN+bwPx8qYfVyH+/9D5cea55ywx0A+yfitJwOKE7OIjNtdLYVcN/3H35g7pTspz9+8/y+K5a4uORcH4QI7RPUBaWi47ACNxUxJmZFWDNi0E4YTuZdauoyjlwYB6kF9hj/TltkxuesB8RIVSNpe004rCpV5nNDSlFWWe6oXkvUvloaNMtKELW/XUjfXpDqhSFSFonxKlnUytC3cjmjx2FIEQQu/NCFH3rgzMX6LTn8ZlMbfvPcsr5yUPr0yNH/8wBxGk4XDNNrEU3W+N0vfoj//dW3PVcsNO3vGwyv+cI/B9ljY03wPA8ZSlTHM9cAtwC43f3MLAFBiM61pJBhmXZknklVEl0cqHlCGHUHqbE/1fM6KhB2MkS0j7onJFpOEH1c43H8ftxObjT23FwrRFjVr4mrP8Sat65SkqIoWqUfI/bcOunVr2n7AcQDYtAiIqf0HpyAQae4ART1hSoOVRYPz+k8+8ObdxS/f+21t6QKSJM1TpsFl6O58QCbsqDvB4eG597a2npBpegStGQ4Gl2OOofDg44OdKkAuq172+CmhNuWGXFgjOfJtOdg/PCpP2ycexv/UzxexRwny1Is+hHjInFJUG2KXUp4zLrHrbwVTMVTrLj13Jb4lKcSMMpIGJZc9t808zVV6QmKMHRQrWVRruQxMJTD3BkXVK5b0Xbr1kP4wUBl4JTc8CcyTlkIOJHxiS+tQX1Ti9N76KUbX9p/8Htbt+/NgboYqFGMhgQu4chSIBNZbpdqIJsWWkp+8R46NkXhx7XeYs623vo4xCql7ChrHL2Gxvcjyupbc0Y8uLTmMp6cEKiYcvtKYSygqUHB1DZuPRbH0b1Kdey73ZtUPDZpno4LV0bD2GY2+BXVgPVrAL2/+JzMeqyb+YaghMMPXIyWcwgChlLjnEqhNOU9jU1ta0dHB8PWObeeduydVooixxOP/iuuuvLP+ZLF522jbGh7e6PzpqHhAe/oaIgRn4ASGgFcy4MyISHRjTgOWuuxpi6EGvcxjm6BW1KdNNpCNFiJArEGqUVNCLHpiron1nGtbskkeYOch36PhMMq7d7Q583PhjhlUVepWOhBTCqypFN5LH0JgflKk5LIE8Z1A2QzNYRhiO4jJcA7a6zUMO29M85Z9NDhl46xqQv+4ysBvVcG4ADwm1+twfIVK/HZ9/RtHal17lm+2F+9ePauXPeRAP3DORQzQM7l8ByoTmiJuoEwLHMMvNRw6MSrV8UtusmlTf5tWlrzuXlvA9icj3NvY46mADwF2DRlPg7YuGMqkVMqaVOMoklQi33jfNvoFKdAL4mcScksoqY9o7ALCDmUIZ/10X10DPc9XMCx4UWDjY1zPvjmj1R+8JYVY5i7+JZXCnavHMABYN0vHsLSlbfgbTcEW6Y2tx28cllp1Z7Dg3VbdgANGYpChsN1UpIWYhbPys4h5qU3fYEZf2wVtbeogQ0+GgOmXsRqWmJeFUyKEgf98QBuAdX4X5MBYLH/J2bpKTSYEyeReZUw/xrgN7eQaKMJa2sBYiZAMMG3GRN9ScGrWL+tGdt7ru5tbZ1z2+b92e9/8C0cV17z7lcScq8MB08bnB8C4L7/2z/ccM93vvdYWzA2iHxGtK/zA9G+QkpkJPbjJ60yj/3oE4GcpJ4EplpCY1xd5mvqK4K2yuZzbf2J8VpbgTGPY76XHfJrcGlD3aEGjzZzNxWXpnYyCKE6n1Nz7Wh/QLWgMbclOlZb7R/1dy21E+E7EgtOP3AQMgKH+mhqzKA05cpj1cw1nyHc/878Wa1nBGenxdFzIoOQqejtH/vO2665itTB+9Ivf/Vo29DgEAbHHNQCG9DqNUCKVbLb/pngnkjtkMdLfi7zsaGHK0+KeRkf30KcaFtv0/VOUo7CudGnNBZpmObkScg4aY4j0/0feWvsamwkonzE0udFnRvp9ieJQ1drDo72OygWmjGja9WxGXMvuwOcf+d06tzHG6ddJpxotDTVIeuxB66/dtmn3vsX1/VfsnQa8oUqhqvCSWGqCvalVT+2PJkJKmJz0rg7Xa6Z4rwW8cfRXxPQ9mXbPPzJdViTHyTNgWNuVw/THD3RO5qcWDmIiH2YRAguYEuCsAOxxnNAwXgdJRx1uQrGaoPoHW3H9PnX9rd2rvhUtYYHiDO5sSUnO86YBZejWCggDIMHL11xUV+dd3De1Nn1X/7c17d5OYcg5wrXr+zRYllO43KZekNsTRQNS5Uw9xkH3HpS3xQ3tQ36KQ1lURHTsmG45eV7GZGDcphW2YpdMY6jTnS5DyJXPYHy0/MoclBGt8QDvqRUy7jooQMQEBICqALFZb432v7pWfPO3+W6+Z9ls2ccXmce4ADgOC7j/MmHL1m1JONu7h171w3N923YsJnwoEz9kMIPRa8jx8xyQ5KypCYZEwub9kix6AlKFDtG7KWJo5L06eMOC6CJjVCAFb1ruJ7iMeCaL1PUR6IdKtZE1YyU8SjRh2bgovU3NY4hLXmkfztR35xKjaJSpagvZVlD+3I+vXHhX+2pLPzuY8/sqb3lqiWTho9TGa8KgAMAIcvxhydfqBUKsx9c1OX8tuSV397fe/S/b9xyAAM1BxQUBVckwAqerWuixJ094njmwZPvFw9DNcEsXmKiX3JxkqBL+iQzIE8knTkxlFtgJQZ1IBqcyoJz8wViwkx8SH/LdG+4WbBT7MX1yWDUIVSVsSAWqLmsD8YYjvVRVPls1GdbPt/QPPeH7YXp+xfM6qkVm14d4AbOMAePj5XLz8b5i2eX3fDYjmG++J5rVs27+4u3TQnffnU/KqGPMLLiUjWwtG4KS3GwrHb89039vVNscoy+mHowsd5ATo/HV5KTCRqS9tnMgKj4zXDLw7hP+z/jC25rF675tnC92y0HzSTkIKSRnDmGtU+G+NXWrrDM59y9/IoL79myfXRHrjSvXGw6d/KBcQrjVWPBzfHOd7wVm//4o/C8Ze+8k7PD7q6BX31y5jNbs7Q2CpeEKiNcWW+zzKHkpinxGCYZlRYz/oOnqjZIWu34/mmL4LRjqsH150hMj6esxOLCx7fY+jPFF87iQqTPBpWKJveRiQ3R1UImcgchRVADOHdQKGVw1aqLq7mmt371grMa76yEa/H+W26cXBBM0piM9dFpG5z3Y/2zwPR2fGnHi7tX/PjHP6Mjo+UVO7v73JA5yHgEWVeEl7uRBi1eJ5JepWVS/yxJcdMr6y/rDEp92qhBaGjhcZ2bmNGGxnZqUBodjRjp4Eguik1dPKmT88SVyqpZKDVxiqgOIaDrEMZ1cE3tABh9eohqh+JQDtfh8FyGjBfCdQOMlglCdATUzT+xdPlq1tw++wlCRu/Y0d2BhbPqzjRUxh2vSgsuByFN8uEd//KDn+DqKy4q9fYP/y9St/fmp/50hKI2irznwHMI3Kh4JediQSoi3Hji0i2XZ1ZaV+J9TXZCYDMPovex9oNKsFFyYYybA9rqplpu6EWjqZhwRP0tkUJPlJpimnRufFrbQSOD1/R78qhPPRCGogGsQ0VSG3U4CPHR3MhRVz+bcfecNY7b8JcvdfcMt065+EzD44TGqxrg5njXO96MLdv3DDeUch9pnzlvJ8k+dW6m2n/jzp27kM+6yGddUAKEIQf3OWSjL9OCR3mzoEQWb4cGSJqEAuMyT2KW11iE2tJjmjaJBKJ5/K2MRaR5nwB+TN/m0DmW6sixk0/+H9orqeeF3McRMoqqTxGEQtfOZQIQ7qO1bT4aW521+aYVW7g77+tgo8NNrZOXFHy6x6uaoow3du7uRkN9cdZTm7d97bnnd9y4bdtWED6GupyL4TGGoVGGcpWjFgChbKsRu6kSx4Zr3DHKHDvUpi40CofVMSzpdMV6bgRH6ZgSW4lJjaGJ0xQ1J13wsgCppiWOvHckZWGashjlllXp5Oj9Q05QrTkoVx0MjrjoHQA8x8eMaQUsWNCFtikL1ja1n32bXxvZ19g8/Uz/9Cc9XpMAB4BDh3vged78bdt3L6lVxz7W37N71Z592/DUc32o1BwMjAIV0WRC8VJZldZ1ZH1uo1a3BLhjA12B24pVseNLgPS4Ex2uaoLcDkVVUqeVUWQHmOltBsANHu5QwHG4CDV2ePQ/MBWv4hAx7zrMAroTxXdXai76BjMYGPax/1geC7vOxUVLu35fKua+3to++7kwDHbmC2cmluRUx2uGosTH1CmtALCTc74TwJY/Pcen5lvnfYtkt8/fv+d5Jzs4jMe3umipc5HzOBhEz3OPJCU1XdgG8gpvaNxEUQ8VDQibdRDziQSwAe74MPXu6CU29444to4XkR+NRLW3JfUiqkKs6bHUSWQqSVRxcMdhKkkimwlQqhvG48/XYXCkgAuXLg6v6Jy5c2+3+8Gus5cdArCDkNesDZT/+utjPLm1D4yFs2oD+ztnTXHXbNv+8/q/+5eXCof3czQVgJEagecAdRmOnAe4DrFogkPFnOsAnkuUNTeVEzODBzDphhkpaFrypJfRTiwwrDSx6VJa6IGmMNxSVKTl9lxxcx3xnKoOd4DnMuQyIfJZH64bYrTsob6uiuGQ4XfPLxp90+o3DrU11m7qnNl2gFK6j5ATb/T0ah6vG4ADkMVtKDDc8PSW7cv3H8a39+7cHVRHtjb/5PHeUl8f0FZkKGSBjCsqMLEoK9B1AM8h8Fwg4xG4DoHjkFS+bVv26DEFKKEJOTHlQ+r6ozFFxqEpII9+JWqcjHrBKE9MEUef8RiyHotALv6xkIkuDA4NUcj7aGsuo3eEYev++cNXXDyvb/bcme6BHvcDmbo3PDm7Mz/IORilrx9YvGYpStqIAMU2bT3Q72ZnPtJQP9h159/+rLpj01/f3ocNtzz/7F6/6IydlcsEuWplDGMVjnJNAC3nkejSLRaTgofrdDVT0xbvFXtzpcIkExtMb6PpfWTcCDcwnC2Jw0p3OfQ9Z6JNo3TUUBo52gngugxZLwTAMTzmYmTMQbFYAnV5JVdo2NbVOd3rWHjtg8PP3/F32XPvzHYtKFXADzFC5p3pn3DSx+vnVB1nHDm6C7msS+59YD2mlbJOe0vhPs6qXQdf2r/y+e0HnGd3j8LhHDmnhsaSg/o6F/ksRSZD4ThCU5b82CrzFh1fcmWiTgoK19UqDKDDTkWbPu2AkuXUZOMq10G0QIx5IQ3t3JyXXN5xOHIZIJ9lKOZ9FPMVNNYz5DIMew63ISCzwlmzZvyhsT6zg/DBD5XqjoUj7vUg8Pn82XPP9E90WsfryoKnjY72eYBefwWDg4N/6XmZpuGhvr/90U9/mdl88MVwamvTBU25cGllpAdBMAZkXGS9LByXIAwJglCYXlNBUX0qedR8iXBh3aVS4wqgcg4EoZGhFL2YMY6QsYg+EBCXgjs6o0i/R2T1Q62oOJE+7gccfiBkwTAIQMHQUMqita0VDaXaU8X8gad7azOchYtvqLW3tf63arXSX18vkw/+y5n+aV6R8bq34Mcb33votyAgq4Kgeg0JRm4K/MpC8Br6ju4FpQGO9pRxpKcC6hCUCllkM46yxCFjCEOu4mJclyKbochnKfJZIONxhIygUgXGqgC4jtArVxmq1QCMcXgeRS7rIJ+lyGYAT5RrBGPRycGges1TwpDPBHAoR9+Qg4rvIZ/zcN6SBWhuzKGhlN3e1uKtyWbcX3GO37fPuvpMf8VndPx/D3A5env7AODaIAjmDQ0NsPW/+wmb0tE4h9PGzzy+aS9yWQ9Z2o+hoX6MjJEo4Zag6jNUa4IZZzMUhbyLhqKDxhJHQzEAwPDcTge+D+SyFLkMRS4LBEENf9odABwoFSjqix7q6yjq8hy5qC16tUZQrgKVagjGOUbGQjQ3NeKCczvg0AqqmIFde3vvGRvt3/Pud95EW1uaqOu4uwA8UqxvPNNf6ativO4pyomOlpZmAHhEPme1oyBepvGl7kNPHOzlcB3PX9x1zsdrfnj18AgBYwybNz+LQ0f7MVwOQQmQd5zIqvvIZ0JMaxlBORjEphebMa3eRVuTh5znoLHA0NHaj0ee5qiVc5jVJix+NluHhpKD+oIomnOkz4GbLWHZoiVwXAdjZYaQkXXT22p/T8iYl2s4B+dfNP33LKwOzJvdfqa/wlfl+HeAjzNoph0ABgD8BADGhg+BEGwrV8OOcoWwMPCxe/cuHOsbEW4VCtR8379k+cV3OShf39FU9qd3DON3z5cxZ14TFrQ7aGn0UMg7aG8KMXd6H/4TreGxp5sxowmYObXOmzal4acH9z19Vz7neI7D4Q658LwiuhaejUzGQ83nNGTkCIA9c2e/PnTq0z3+naJM4li//gkApGN05FhDa/0Yn9IyjDWPBTh4rB7zOyiaSi5yWYrmBoZ50wfR3TeGH/2mDdPqOWZMrSNzZk4b5JwfecP5r41IvdfC+H8XIQ5wPM46XAAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzoxMTo1NSswMDowMJcIV4oAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6MTE6NTUrMDA6MDDmVe82AAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 158301000
{'hecke_orbit_code': 18014673420943846, 'n': 1, 'trace_an': 12}
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id: 158301001
{'hecke_orbit_code': 18014673420943846, 'n': 2, 'trace_an': 0}
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id: 158301002
{'hecke_orbit_code': 18014673420943846, 'n': 3, 'trace_an': 0}
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id: 158301003
{'hecke_orbit_code': 18014673420943846, 'n': 4, 'trace_an': 0}
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id: 158301004
{'hecke_orbit_code': 18014673420943846, 'n': 5, 'trace_an': -6}
-
id: 158301005
{'hecke_orbit_code': 18014673420943846, 'n': 6, 'trace_an': 0}
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id: 158301006
{'hecke_orbit_code': 18014673420943846, 'n': 7, 'trace_an': -3}
-
id: 158301007
{'hecke_orbit_code': 18014673420943846, 'n': 8, 'trace_an': 6}
-
id: 158301008
{'hecke_orbit_code': 18014673420943846, 'n': 9, 'trace_an': 0}
-
id: 158301009
{'hecke_orbit_code': 18014673420943846, 'n': 10, 'trace_an': -3}
-
id: 158301010
{'hecke_orbit_code': 18014673420943846, 'n': 11, 'trace_an': -6}
-
id: 158301011
{'hecke_orbit_code': 18014673420943846, 'n': 12, 'trace_an': 0}
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id: 158301012
{'hecke_orbit_code': 18014673420943846, 'n': 13, 'trace_an': -6}
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id: 158301013
{'hecke_orbit_code': 18014673420943846, 'n': 14, 'trace_an': -6}
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id: 158301014
{'hecke_orbit_code': 18014673420943846, 'n': 15, 'trace_an': 0}
-
id: 158301015
{'hecke_orbit_code': 18014673420943846, 'n': 16, 'trace_an': 0}
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id: 158301016
{'hecke_orbit_code': 18014673420943846, 'n': 17, 'trace_an': 6}
-
id: 158301017
{'hecke_orbit_code': 18014673420943846, 'n': 18, 'trace_an': 0}
-
id: 158301018
{'hecke_orbit_code': 18014673420943846, 'n': 19, 'trace_an': -9}
-
id: 158301019
{'hecke_orbit_code': 18014673420943846, 'n': 20, 'trace_an': 3}
-
id: 158301020
{'hecke_orbit_code': 18014673420943846, 'n': 21, 'trace_an': 0}
-
id: 158301021
{'hecke_orbit_code': 18014673420943846, 'n': 22, 'trace_an': 6}
-
id: 158301022
{'hecke_orbit_code': 18014673420943846, 'n': 23, 'trace_an': 24}
-
id: 158301023
{'hecke_orbit_code': 18014673420943846, 'n': 24, 'trace_an': 0}
-
id: 158301024
{'hecke_orbit_code': 18014673420943846, 'n': 25, 'trace_an': 36}
-
id: 158301025
{'hecke_orbit_code': 18014673420943846, 'n': 26, 'trace_an': -18}
-
id: 158301026
{'hecke_orbit_code': 18014673420943846, 'n': 27, 'trace_an': 0}
-
id: 158301027
{'hecke_orbit_code': 18014673420943846, 'n': 28, 'trace_an': 12}
-
id: 158301028
{'hecke_orbit_code': 18014673420943846, 'n': 29, 'trace_an': 12}
-
id: 158301029
{'hecke_orbit_code': 18014673420943846, 'n': 30, 'trace_an': 0}
-
id: 158301030
{'hecke_orbit_code': 18014673420943846, 'n': 31, 'trace_an': 27}
-
id: 158301031
{'hecke_orbit_code': 18014673420943846, 'n': 32, 'trace_an': 0}
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id: 158301032
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id: 158301989
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id: 158301990
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id: 158301991
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id: 158301992
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id: 158301993
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id: 158301994
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id: 158301995
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id: 158301996
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id: 158301997
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id: 158301998
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id: 158301999
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