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mf_newforms • Show schema
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{'Nk2': 11664, 'analytic_conductor': 62.2357976253267, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [81, 3, [2], [1]], 'cm_discs': [], 'conrey_index': 28, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [576, -24, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510936522391633, 'hecke_ring_generator_nbound': 25, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 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': '81.12.c.d', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '1.12.a.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(24-24\\zeta_{6})q^{2}+1472\\zeta_{6}q^{4}-4830\\zeta_{6}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '11.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '81.12.c', 'trace_display': [24, 0, -4830, 16744], 'trace_hash': 1661406955805819834, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.063', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.895', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.183', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.650', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.241', 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mf_hecke_cc • Show schema
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-
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{'Nk2': 11664, 'analytic_conductor': 62.2357976253267, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [81, 3, [2], [1]], 'conrey_index': 28, 'cusp_dim': 186, 'dim': 86, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 137640280145, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 4, 8, 8, 8, 12, 12, 20], 'label': '81.12.c', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 210, 'mf_new_dim': 90, 'num_forms': 13, 'prim_orbit_index': 3, 'relative_dim': 43, 'sturm_bound': 108, 'trace_bound': 4, 'trace_display': [0, 0, 0, -42563], 'traces': [86, 0, 0, -43006, 0, 0, -42563, 0, 0, -8196, 0, 0, -1398533, 0, 0, -41938942, 0, 0, 2766034, 0, 0, -4536894, 0, 0, -407474467, 0, 0, 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mf_twists_cc • Show schema
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id: 43105607
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 55, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936522391633, 'target_is_minimal': False, 'target_label': '81.12.c.d.55.1', 'target_level': 81, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 12}
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id: 43105608
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 55, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737267650641, 'target_is_minimal': False, 'target_label': '81.12.c.b.55.1', 'target_level': 81, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 12}
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id: 43105609
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599828697097, 'target_is_minimal': False, 'target_label': '9.12.a.b.1.1', 'target_level': 9, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 12}
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id: 43105610
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 28, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936522391633, 'target_is_minimal': False, 'target_label': '81.12.c.d.28.1', 'target_level': 81, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 12}
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id: 43105611
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 28, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737267650641, 'target_is_minimal': False, 'target_label': '81.12.c.b.28.1', 'target_level': 81, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 12}
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id: 43105612
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 201326593, 'target_is_minimal': True, 'target_label': '1.12.a.a.1.1', 'target_level': 1, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 12}
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id: 43105613
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 201326608, 'target_is_minimal': False, 'target_label': '16.12.a.a.1.1', 'target_level': 16, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 12}
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id: 43105614
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510799083438224, 'target_is_minimal': False, 'target_label': '144.12.a.d.1.1', 'target_level': 144, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 12}
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id: 43105615
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867802915041, 'target_is_minimal': False, 'target_label': '225.12.b.d.199.2', 'target_level': 225, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 12}
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id: 43105616
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 24, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668548173849, 'target_is_minimal': False, 'target_label': '25.12.b.b.24.1', 'target_level': 25, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 12}
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id: 43105617
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599828697313, 'target_is_minimal': False, 'target_label': '225.12.a.b.1.1', 'target_level': 225, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 12}
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id: 43105618
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599828697113, 'target_is_minimal': False, 'target_label': '25.12.a.b.1.1', 'target_level': 25, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 12}
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id: 43105619
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867802915041, 'target_is_minimal': False, 'target_label': '225.12.b.d.199.1', 'target_level': 225, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 12}
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id: 43105620
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 24, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668548173849, 'target_is_minimal': False, 'target_label': '25.12.b.b.24.2', 'target_level': 25, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 12}
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id: 43105621
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 18, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737267650609, 'target_is_minimal': False, 'target_label': '49.12.c.b.18.1', 'target_level': 49, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '63.16', 'twisting_conrey_index': 16, 'weight': 12}
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id: 43105622
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 30, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737267650609, 'target_is_minimal': False, 'target_label': '49.12.c.b.30.1', 'target_level': 49, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '63.25', 'twisting_conrey_index': 25, 'weight': 12}
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id: 43105623
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 201326641, 'target_is_minimal': False, 'target_label': '49.12.a.a.1.1', 'target_level': 49, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '63.34', 'twisting_conrey_index': 34, 'weight': 12}
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id: 43105624
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 30, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336895021105, 'target_is_minimal': False, 'target_label': '49.12.c.c.30.1', 'target_level': 49, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '63.52', 'twisting_conrey_index': 52, 'weight': 12}
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id: 43105625
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 18, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336895021105, 'target_is_minimal': False, 'target_label': '49.12.c.c.18.1', 'target_level': 49, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '63.61', 'twisting_conrey_index': 61, 'weight': 12}
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id: 43105626
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998338179136, 'target_is_minimal': False, 'target_label': '64.12.a.f.1.1', 'target_level': 64, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '72.43', 'twisting_conrey_index': 43, 'weight': 12}
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id: 43105627
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599828697152, 'target_is_minimal': False, 'target_label': '64.12.a.b.1.1', 'target_level': 64, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '72.61', 'twisting_conrey_index': 61, 'weight': 12}
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id: 43105628
{'conductor': 99, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599828697209, 'target_is_minimal': False, 'target_label': '121.12.a.b.1.1', 'target_level': 121, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '99.43', 'twisting_conrey_index': 43, 'weight': 12}
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id: 43105629
{'conductor': 117, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 201326761, 'target_is_minimal': False, 'target_label': '169.12.a.a.1.1', 'target_level': 169, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '117.25', 'twisting_conrey_index': 25, 'weight': 12}
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id: 43105630
{'conductor': 144, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007268175544576, 'target_is_minimal': False, 'target_label': '256.12.b.c.129.2', 'target_level': 256, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '144.43', 'twisting_conrey_index': 43, 'weight': 12}
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id: 43105631
{'conductor': 144, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014467430285568, 'target_is_minimal': False, 'target_label': '256.12.b.e.129.2', 'target_level': 256, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '144.61', 'twisting_conrey_index': 61, 'weight': 12}
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id: 43105632
{'conductor': 144, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007268175544576, 'target_is_minimal': False, 'target_label': '256.12.b.c.129.1', 'target_level': 256, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '144.115', 'twisting_conrey_index': 115, 'weight': 12}
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id: 43105633
{'conductor': 144, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510936522391633, 'source_is_minimal': False, 'source_label': '81.12.c.d.55.1', 'source_level': 81, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014467430285568, 'target_is_minimal': False, 'target_label': '256.12.b.e.129.1', 'target_level': 256, 'twist_class_label': '1.12.a.a.1.1', 'twist_class_level': 1, 'twisting_char_label': '144.133', 'twisting_conrey_index': 133, 'weight': 12}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 255325
{'charpoly_factorization': [[[576, -24, 1], 1]], 'hecke_orbit_code': 13510936522391633, 'p': 2}
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id: 255326
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510936522391633, 'p': 3}
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id: 255327
{'charpoly_factorization': [[[23328900, 4830, 1], 1]], 'hecke_orbit_code': 13510936522391633, 'p': 5}
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id: 255328
{'charpoly_factorization': [[[280361536, -16744, 1], 1]], 'hecke_orbit_code': 13510936522391633, 'p': 7}
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id: 255329
{'charpoly_factorization': [[[285809990544, 534612, 1], 1]], 'hecke_orbit_code': 13510936522391633, 'p': 11}
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id: 255330
{'charpoly_factorization': [[[333781196644, -577738, 1], 1]], 'hecke_orbit_code': 13510936522391633, 'p': 13}
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id: 255331
{'charpoly_factorization': [[[6905934, 1], 2]], 'hecke_orbit_code': 13510936522391633, 'p': 17}
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id: 255332
{'charpoly_factorization': [[[-10661420, 1], 2]], 'hecke_orbit_code': 13510936522391633, 'p': 19}
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id: 255333
{'charpoly_factorization': [[[347571590865984, 18643272, 1], 1]], 'hecke_orbit_code': 13510936522391633, 'p': 23}
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id: 255334
{'charpoly_factorization': [[[16488262627956900, 128406630, 1], 1]], 'hecke_orbit_code': 13510936522391633, 'p': 29}
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id: 255335
{'charpoly_factorization': [[[2792400404276224, -52843168, 1], 1]], 'hecke_orbit_code': 13510936522391633, 'p': 31}
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id: 255336
{'charpoly_factorization': [[[182213314, 1], 2]], 'hecke_orbit_code': 13510936522391633, 'p': 37}
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id: 255337
{'charpoly_factorization': [[[94938206778275364, 308120442, 1], 1]], 'hecke_orbit_code': 13510936522391633, 'p': 41}
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id: 255338
{'charpoly_factorization': [[[293289874501264, -17125708, 1], 1]], 'hecke_orbit_code': 13510936522391633, 'p': 43}
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id: 255339
{'charpoly_factorization': [[[7221841938953462016, 2687348496, 1], 1]], 'hecke_orbit_code': 13510936522391633, 'p': 47}
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id: 255340
{'charpoly_factorization': [[[1596055698, 1], 2]], 'hecke_orbit_code': 13510936522391633, 'p': 53}
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id: 255341
{'charpoly_factorization': [[[26927835455229987600, -5189203740, 1], 1]], 'hecke_orbit_code': 13510936522391633, 'p': 59}
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id: 255342
{'charpoly_factorization': [[[48392595374861310244, 6956478662, 1], 1]], 'hecke_orbit_code': 13510936522391633, 'p': 61}
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id: 255343
{'charpoly_factorization': [[[239686963666145149456, -15481826884, 1], 1]], 'hecke_orbit_code': 13510936522391633, 'p': 67}
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id: 255344
{'charpoly_factorization': [[[-9791485272, 1], 2]], 'hecke_orbit_code': 13510936522391633, 'p': 71}
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id: 255345
{'charpoly_factorization': [[[-1463791322, 1], 2]], 'hecke_orbit_code': 13510936522391633, 'p': 73}
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id: 255346
{'charpoly_factorization': [[[1452893924592934662400, 38116845680, 1], 1]], 'hecke_orbit_code': 13510936522391633, 'p': 79}
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id: 255347
{'charpoly_factorization': [[[860548072531493710224, -29335099668, 1], 1]], 'hecke_orbit_code': 13510936522391633, 'p': 83}
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id: 255348
{'charpoly_factorization': [[[24992917110, 1], 2]], 'hecke_orbit_code': 13510936522391633, 'p': 89}
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id: 255349
{'charpoly_factorization': [[[5627035466005440554116, 75013568546, 1], 1]], 'hecke_orbit_code': 13510936522391633, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 4, 'label': '81.12.c.d', 'level': 81, 'portrait': 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tomb78ePDnI8akK5+cVs4sJc8sR5xctJxYt1+1f5Oc/sMzmsTJLq4NcXCyxVPWYmtWcOB8xs9xm/+4YIgfrSEbGN5hbr971x5snKx9utMP6la9556sNiT/T43sa4HMLDQpOQmzELx8+fuLmJx7/lCRyb37ouVm9d1uH63eXCGLDxnHL3OIgZ2ccZpdjllcjlmqGuZrg3ApMjFX5pQ8tc+2uAhfmR7i4UGJ2STO3bJlbipleTFhoxAwOd7jlQJMb9oIrC3jKY37FT/+/K4JWAHFs8F1DyU8YGogxwNRcTL0JWyYcSoUAawUIl2bbsHkyYLmqwaZSpNqEIAaLZaUWsmHcodFWCGURJqDiO2xe16HaEkxd1CRGM1KRlH2B50AcC1qBZG5FMrtsmV+N8bwOODE37mty8+WCsUqB5dUKF+Y9Li7B/FLM/ErMzAqcXrZcs2+Jf/2hFdYNVphZGGJhtcjCqsPiSnohTM2FXKzFrBuDMJRcs2+JHRMuFxa3xCPDrcfeddd7zfDY5Y8i+Od+4Xs72/I9C/BTh/6AnQc+yOzc0r997tkH/lF14XHvkecXuGJ7gaePlHnhXIPXXlvng29MiOMi5+cqXFz0mFuWLK8mLNciVuoJ81U4uyIZG6vyb39inqu3eSxXh5lZKDO3nP7/F1cN88sJc6sJzTAmMDG7NrXYux1WViWXbQq4/UpDFCsEli8/4bNQ89k4HHBuVtFslrliZ8JCPWbqIuzeJDl5EW7cYzA2oBX5eDqk4msef6lAsRDhqZgwsSSJ5vrL2pye9ti9JeLsRVhaLXHFzoR6p8PpecWm4YCVeshXHitihSJJEu64qsWOTZa5qsPVOzrsWO8QR0Va7QKzSz5zS4LF1YSF1Zj5FcP5FcF8M+Sq3cv86x9tsn5ogOmFARZWCixVHRarkqVVw8JKyNxywrklQZuED75plTdc5XDoxAhPvNTi6ssDzsxv47p9G77x6fsW3/nW1+83SZKE/+Anf+DVhswrPr4nAb545jOMbtutnn/imX+1srL4L555/qJ69kSbp07F/NKPtYiDSb7+hODg2Rp/+12LvONGj6nZYeZWCiwsOyzXBCu1hJV6xGo9YakGF6oCXehw0+UrvO/2kG3jJarNCgsrBRZXXJZqgpWaYblmWG0Y6m1DPbC0OjEjlYjNEwYQeI5lesFBSI8t44pt6y3rx1vMrwa8cLLMNbssxcIqh08NUy6FhKHDyJCh3YHLNnf4xIOD7NkUEwSW0QFJlLQp+x5HznUoOCWu2h3z4pmQ+WWXDSMe29bB5skQpSKml8B1LEJYtkzEDJUljbZHs+VQbzms1BUrVViuGVZqCUu1hLkaLHcSNm9o8r47lrhpr8Z3KswtVVha9Vmq6ex4GVZqEUvVmLlVOLkkuOu2BX72HZbnXtrA158URGKZn/+xOk8cHufIaT+InXX1nTu2fPTMme2/NDF+Mfm5//t7D+TfUwD/wn3PU/D9wotHz2++fN3J9y4vLvybE2dOs2Oj5ux0mYdeiHnNFYvcfZPD8akhfve+Dm+5cZoPv00wPT/GwmqqI5ermpW6YLVuqDZiqvWYlYZlvia42LQgmtx9a423XmfYvs4nDIus1nyqTZdaQ7HaFDRagk5gCWNLkoCSFs+BgmcZrFjGhyO00+H0bMihUx4mLvHm60O0U+XZowNsXQdfeyrm1v0eC7U2vlbEScTwEMSRg3ZilpeL3HJ1na89XmbbOnjmZIBDkTddZ4hFm0OnE85O+2jpMjGkGSoJCp7AdQVKQGzS6m0nhEbLUm0aGi1DtWVYblraScKWjS3eekONu28OwZRZrg6wuFJgqeawUtes1mC1kVBtRKzWDct1w8Wa4tRKzM+8Y4a3Xu3z+/dOcvRiyPffvsINu4Z46LkSJ2Y7bJmIqRQ3Mblu5Od+5ie2fBq95Tx02kLc+GpDqfv4nsmDHzpylA2T69wXjhz5ETe58NHf/9IJsWG0Sa1e5uhMmzuuaLFjvc9nHhgiCJf40Tef5aaZBC1aeJ5keKBJnEisBSksWjk4WuK6Dr4r8b2Ykm8YbsJCo8xnHyxy/8EWb3hNgxv3LrNlQrFl0KHe8NnjSEARxhJjBMZCqwMIw1C5w8kZSy0Iue/REkFrgJ0bXG460CIyVR46OMhVuzQn55psGK4wPtLixbMFJoYtR6c0/9c76xw9p5gY1rx0NuHifIUt6+qcujDMa6+wPHyozpcfLXLjvgFuP9DhusuafPPZgGYsePGIplLUaAGttsRYQWIsUQxIg3YNtaalVI7YvTvg5stavOGamJGSz/zKCMs1n9Wax2pDs1oX1JqWaiOh3oipNhNWm5bFpmS+KYjjECnaPHU64uB5nx99W5Xvv9HlW085LNTq3HVLm2a9wkrjDBPF2V966gnvFyfWDf/MxLqrfndu5lg4uWHvqw0p4HuEwa2NZNBu3/WJT9+7s9psf6Sx9KRTrXkcmorxtOD8XEJlKMTEHhfmFS0TcsWuFY6dEWwY6/Dv/vYqr9npUK0PsrhaodrwWW14VBuaWlNRa0Kjaam3YurNhGbbUGtZFpuCxSZEScAVu9pMDic0W5a33BCwddIQJxItLWEED73gc37BZ91QzOHTPpgiezcqrt5j8PwWz55ssbhU4vKtJSqDqzz+osO1u3yWW1VWVytMTlqeOqr44TubPH1Us3HcYalZY3VlmKsva/H44YThwiCX72yyUKvx1EuDFHSJ1+yx7N7cAdnkhbOC8eGI+cWIh19w6EQKKSExlq3rQt5wQ0ijqVg/ZLh6F4RhkZVakZWaR7XpUG8pak1JvQn1VkK9maTHpGWpNmGpJZipS+rtNrfsmeeX/84y60Ykh0/7XLlDEwRDXJiHxAYMl8ucvVjAc0KeP1FkqRbyg++8Pgrj8j858Jq7Tvl+4SulgjKvNrZedYCfvFAlSZIfPXbk2f905vh3hp98YYXyQJs7DmgOnSxydiam2U6YWUnlglKCeiBZbAhCa2mHETfuXeXuW1b4wdfFDBRLzC1XWK0VqDU96i2HelNTb0nqbWi2LK1OQrOd0A4M7cDS6MBKU9DsWMLYMDoU43kWELjKoqWg1VYIHEYHNFsnBTvWWzZvaBEkDb7+tOLYqTJvvMbjhitX+b2vG1wxxDvvaPHlx2M2DFbYuL7Fg88W+L6bQu5/HraN+aybWOHeR4q881YHx1vi4/dWuHlfkddfX+eFqQ7fekoTBiW2TrhsXy/Ysi5hbChEyohmJ0Epg1YWsBQ9y9gghJFDo+Wy2nBodjSttqLZkTTb0OxYmi1Ds53QaCc025Z621BtCxaakrmqpVyp88HXL3D3LR2u2eXQCnyS2GW17tPsOCgFYaS4uFCk3lKcmREcOtvhlitbDJcKLDTGecfbbl3Zc9kV/1Aq9XEhxl9VfL2qEiWOWgghfvK+bz/0y3/8hQeGjZ3n+st8Gm0PR0fs2iQQuCxVI8p+TDNIO17KbsKQL2iGkmro8typcZ47WeLExQXeeXOLW/YFDJbKLNdKrNZ9KkWXRkvTyE52u6NpBZpOYOmEhjCyRJElTtJnGLtYA1IJHC3wXcFgWTBUhslRw8aJFqNDNb7xLHznOQdpBnjjNQ5X7m3w6EsRYafCTVcKau02C8slbtxtGB1sUdAenVixWI9QRnDlbk2xHHDwuM9tVw9wwxUNDh5XYAe4Zp/LT7x9hQeeD7n/6RJHz/tsHlNMDhcYKhcZKEPBA0dblARj4ehZQZIIolgQxhBEpH9jkF7MncDQ6hhagaHZhnoAS03FfAM6psPrr1rmrpvr/PAbEkxSZm65SKvj0e44dAKHdqBoB+lxXK0rFlctZ2ZC4iRhbrHEqamIA7uOceyFxnC1Hvz7y694g67VW789UCn+7wfwc9MrzC6Znzhy6NFffuyJ+8d3THR45FCRp2jywTcJSq6HNQmTIw5KOXiOxG/HtDsp67YjSzFIKIWCiitZbZX41IMe33quzq37q3zgdTX2b2sxMlhkuVqk0fZotZ0M2Cp9hoIgkkSxII7TW33q3UqDSq3Bd6FYMAyXIzaMt4hpcnIm4o8f9jlzocSgV+DafZobD9R56kSN+56ocP0un83rWnziQYESHpVyRLUZYCwoAWOVFvWGi4kL3HXrAn/0tSI75n3een2LMFrm4UMjRInPdfvGeeu1dXZtqvGtgy1evFDkhbMuG4clwxVB0RO4TnoRSgFCWIwFYyxRnF2skSWI0gu5E0I7hEZHsBoIVhogdIer9lT5wBuq3Hp5zGilQLVepN70aXVc2oGTEYKi1VG0OpJ6S1KtW5aqMa1OwsKKptqJ+dBbVlk/VOGBZwLWzdw/Du4v33jTTdbapY8J8ep4Wf7KAf75e/4jJ2cP8OX7H/jQkNv5yJPPvDQamTnefr1Pq13myeOWLz5e58ff0mFyWBKGEmMVUmocLfCcBM81+IHBdyx+aCmECSVHUO0oVqpDfPrbJZ483OSmK6p84PVVrtpRYyQpEMcerY5Ps+3QDjRhpIhiSZxIEiMwViCwSGHxXEPRj/HcENcJmFkOuPcZyalpl7PTQyjjsWOdy2XbFNfsraO8RQ6dLrNhsMjl22FybJWVeoX9GySxsXzjaY+gJRksxbzpug5feTji/FyZPTsdZqsdjpxx2DQxxBXbFnn0xQaPHxEEocvebcPs3eSxd2OD07MrnJqBp48VOXmmRFELPC0peRbfASlTzWlterHGCYQxhImgGQjqHUE9gtDEGNvhNbvqfOANdW7dn7Bu2KUTVFiuFWg0Xdodl3agaAWadkfRCiStjqDZFtRbhlojZrWephQbScCHbmuweazCk4cGePZkyOuGljlx5IHx5aXZj2zbJOOLJz/3e99+/iw/+O7/+28uwP/eL36Mu7/vG3zqc+qHDh2b/a+L5uLg5rESxQJsnGhy5e4SQVyi3oqwdoHhwTR1FyUCUGipcRyJ6yQp0EOTAdxScCxlL2GoIGgEDqv1IT73nQoPvtBhYqjFe++osXdTh067yeXbLJsmFUHkkCSKxEhsDm5pcHTC1Lzl7Jyg2jbc82iRmaUhbOgw5CvWj2i2TGq2b4DLd9Qxconf/EqJlZUBrt+ruXxHjW+9IBCxw/iQpFSMaUUu0kqwEqVdah3B/Ipgny1yxzUNHjtYYP2oy/WXD/Pjb1/id7/W4OnjJZodh+VqmW3rC+xZ1+K63Q3edVuDiysr3POox3LLY2rWYWbGxVECKSUCgbGWxEBkLElsGBqJOLCvRRBE7N0U8O47AsYHFMNljyjymV1MGbvVcegEOpMjsvtsddJKbquT0MiC9XrLsNwArxRRcio8d6zCi6diLiwbTswUmJlrUDj97dEbrhz9r15pffSDP1z7ZOPif6S8/q8O5H9lAP/dP/okP/q+t4tf+e/Re85Pz//W80eqxVpb82NvW+KGA20Gy4J9210K3gCtwMOVZayFUiEiiiUASkq0ljha4DoSN0xB7gUG37V0QksxslT8FOitUNIIS5ydLvHvPjkMJkbEMdccaLFtMiSOwViDtWkRRwqBVALtuBw/73L0lE/J15RdyWhRMDYiGR/WrB9TbFmXsGdLlUQs89++UGHq/CDX73bYuzWhHTd44pDHYMFhZMAyWA4pFlIpZIyk1lGsNC3LtYRas8Atl1d55miLY+cVgxWf6/YN8lN3LfM/vggHT5Voti3VhmZ+pcLkaJHxoQ5bRjr8P+9pUSnWePEsHL8gcRyLUhYhDGDT/1mIY9g6mXDT/pgkcohiD2uLdEKHuaVMhgSaTqgIAkUnVLRDQSdIn+1QpLKwk9DOAvRG29AMLEIK4qjIt5/RtDsRp+cNi+2Ex48GvPHKGu99bcLyajLoK/lbz39nMg4r/+Dh0P7DhSgiKbl/+TmOvxKA/8ePfpLlxSH1q7/2+bsr7vzv3bH3tL97eJjHDrl8+WGX3/tmzOuvX+V1Vy5x+c46WnhYBGGUyoQ4kWAtUiq0VplUUXihJAgNvpsQRIYgtISRIYhsemuODEEMYSzoRJIg8YgSn2OnSrxwDBJrSaGdamNHgqtSz0fZg8vXQaUAAyXJUFkxMqgZH4bNkwHrxqpEdoX/9oUBTp8Z4Ortiu0bJTs2rvLtIzHzywNcs00yVDH4bhtPelgliBOJsJY4CVlt+swvO1y9t8CVuxs8etBnYkhQ9Mtcvdvwd+9e5r9+0XBkpky1aag2FIurmtHBEkOVAkOVASrFiLFSxJarQzwnxtExSiVIkQYTlvSiiiLFwqImihVRrAgjRRBlr6EkiCRBKOlEkjAUdELSGCW0BGHSDVTbgaHZMTTbllYAxgiaLckjxwxaR2zb2OS9VzR5/TWaenOQE2fLPHZIcnZhqfj21/q///3rTtY1m64Jw9aFvwrs/aUD/MjB32Z8OFRHTk29+9Fnlz/+5NFz/oEdAdftapOYMsenJBfmY7767UkeeKrFTQeqvO/2JbZNOnhuAWMFxqQglBK0tDhK4ToCNxQEYXqCwijPhiSEcRpkdZ8JxIklSQyJIdXbhi64hQAlQUtwHPC0wPcERU9SKioGipKhAcH4cMyWyRblUpUvPBby8KFhqksVDmxWbFnnsGtTh0RU+cbTRUqOZmxIUS52OHSatON+k6UVKK7YFXFgh2VuNmFx1aXdKfLmaxs88mKbkzOKUkHiuRX2bzf80oeWeehIm688NMpy3bJlPGG1phmsKAZKDuWiQ6lg8T2D5xo8naBVKrVkeuPD2hSIxghiI4kTQRwLolgSxoIokgSRIIohiARhZAlDCKKcONJnJ0urNgNLswP1ULLUkVgdsX1djffdXufWyxUFZ5Cp2QGmLrocnzIcuxBw9f4WOj7lPfzgH7Mab75loTXy2Y/8xqeTf/Lh9/71BvjRMwV59HT0fuK5X1tfPuWf9ob51jOW7etWuWq3Qsoi5aJkuBJxZr7EF75d4GtPrvKP37PID78hITHpbUwIkNKilcJxLF4o6YSSIBTpyYlUxtoyzSDEvbRfnBiSJM0uJDbLlGTZEiEEUoKSAq0FrhZ4rsT3JKWCoFK0DJYNE8MBY0MNYlvlM49IfvdrI4z7Pgc2Czavc9i63rBl3SpfeMKysuKzd1IxVIFyMWL+nGRh1cPdlgJobEAyOAgnz1pW64a5JZ9dW33uvKbBvd/xGSmD57ooOcj+HYKffusCjlzgy48O8dKMz0Q9YnwwZqCkKBcUxYKk4Gk8FzwHtLYpyAVI0Qdy0gs7MZAkgjghAzpESXrXi6IkJYWMMNI7oklTjqGlHVhaIdQDyXJHstiO+fG3zPKPfqBBQQ8zdXGUY2eKXFxUTM9FHDobMz5Z503XWE6eG+Tz953z9ux2fus1+6Qu+PpTpDzz1xPgjz78FeLEfOjr3z70q768UHnNnpB3v36ZX7/H56ljCR++a4kokbiOT9F3KXgxrobHTw/z0KEmP/iGFSpFjbUCCShp0ErjOpqOo/Dc9NYaRYIwFoRRykpxTHrykjSTYEwacBlj8x7O7kUjhEApgVYCR6cA8T0o+oZyIWawHDM22GZ0qMpjx0L+4L4Cx88OsnXAYcckbJx02TgBezbXacV1njpaoaAcxoYUg2UYLAcMDcS4rkaI9OJqBy4r9Yhqy1JrxiysumyeLHPD3gXue7rF8ZkKRS/CUS5CDLBjg+KDr1/iNXsW+IP7yjx1eJDlpma8EjNYjCn6koKv8ByB50gcR6CVRCmy9GGKckvaw2oMXaDHicnubikpRLFJn0laG0jz6WmqMQihHQmaoaAaSlY6Fk81uHN/g8nBCs8eneDk+QLTCzC/HHLmYsKFasTbX19nsVbmEw9ZfA3N6ukKYfzfOupq93Nf+Nrv/sDdf3nTt/7SAL680kBK9ZPffvCzv1yvzo1MNTUvTA3gOAEn5xXPnytx1a5lbr18EUePMFD0GSo7DFQSFhptZucU86sJW8dbxIlACoPSBsdJCMIEL9SZjpREkSRKUnBHccpMSSKJDRlzS4ylB+60SJkxN2iVFkxcx+K7hoIfU/ZjhioB60brzNdafPQeh288M8zKaomdY4LN44IN4y4bxwXb1nfQbpU/elhz5kKJ3ROSobJkoJQgZcDMosXTEinAWkEYabaM13mahHpLsVq3zK8U2L3R51131Pjst1zOzafFLiEcjC0RxZJrtq2y5QfrfONgi098Y5hnz5XYMCQYLSWU/ATfFXhOGoA7WqAVaeAsRbdkbUkvsjxfnpgU8F2QJ6mky+VdGJOBXNCJoBUL6pFkNYSgE7J3fZNN60LOzcOzRyXT8wmLqzEzy4azy4abrlzm7de3qTU1H3xLjK80QVDk1JnZke27Vz9y9/f/gOq0m7/tF0p/fQC+slJDSvXj58889Msr80fG922RHJsqcmomZqbu4SaWlU6Zf/8Zi/NDy9y+P2KwPMiGCY/rVIvbXjNDMwgZrET4vqFsMvbWCY528ByH0M3z2KkpKo4lUZK+JokgMaKnta3A2kyV2EzuCFAqzTo4yuA6Bs9NKHgx5ULA6GCTdtTmW4csf/ztAZ46PMiQ67B/g2XdsGRixGX9mGTjRMj2Dau8eK7NPY+MMaA0YwOCSklQKUbUWglfe8Kn7FqESIHVDjR33RTw1SdTT0ytaVhY1WwcL/POm5s8dazB0ZMuJS9GSZGC3BTphKnW/+CdNXavW+CPHqrz+EuDnF8tMFkRDPiWomvwtcF1QCuBkumFnDI55O4Mk0k1Y3p3uNj07nopyAVRkjZodGJBKxY0YkEztkRhCFGTaiPmN7/ksNqSLC8meNJSbcNM3XDbVUv8o/c08OQwIilz2aRiuaY5Oe9w7FzMbPXFcbcw9svveNsdptOu/45fqHxvAzzqVDH6Aq5q/shTTz73H7789ftGKoVZbtyn2TgxwLYLHrOLML8aM7uUcHSuwr/+hODf/Ngsb7ymQRR5eF6Acer85uc8/vZHhnjf69u8+eYWA5WIMPQIQpcgcokip5sRiJP8VZIYSRJn4LYpc6fpslzL2yyoTH0cWps0r+5GFLyQcqFNQpsHDko++eAgh88OICKPrUOWdYOW0UHF2LDL5Khk/VjE5sk6FxYb/PpXSsRBgY0bBYNlTaUElWKEcELq7RKDZYsQ6YUWxZJhTxGbmEbk0mglrNYVM4sF9m0v8+Hvq/KRT3lMLZbQKsouDE0c+3RCyeSIxzU76xzY3uTI1Ax//O0C9z07yMVagZKnKLtQciyutjgqDcyVzCRZdq5yoZYSAN3gOzaC2ECUCMIEgkTQjgXtBNqxIYlDTBQy6rd465urvO/1DR55weErnxOENsL1FMQRd1y7ws/9UAdfjXD07DDTCx7zy4LZpYTTszErrYBrCqucPfH18a+54j/s2HNt/O1nT//+vq2TTIz+xbH5XyjAg6BBydnwjq/d/9T/OPTC1ysOIQ89O8zTx2vcefUi1x8oc26mwvk5l6IfY4g4NFPh535P8JmHVpAmQkpBIxzhicMFlpY0jx4uc919LX72Bxrs29JkfLBDuagJI5cwcohiTRRr4qxgk2QgNya1ztqMvVNwk0odZdHKoHWM58Y4KqTejlisR/yXL/icXRji4NFBrHEZKQjGRy2jA4KRimJk0GFiRDI5ErNhrMXI4CrfeM7w7EuDHNgoGCpLykVJpWgoFUKEE+B5Gq3S97c2lU/tIM0bx0bQaBsaTctK3WFuucKNe5rcsK/KH93vU1hRaBmlYLSaOHEJI0k7cBgd9HnNjiav2dnk6dsvMrUo+YP7BlmoFple9nCVpOQI3FyGyTTw7BJ5LlXI9HgOcAtBAp0YAmMRcQRJhFIB64Za7N/a5u+9q851+yJGBuC6PYab9s3RCFcQUiAS2LdVU/aGOX5umBPnfaZmE6YXYs4sJOzfU+OHrw4p6mEeeSFgufnlkQ0T9n/s3HjLarPduOcvEpN/YQB/4cWTlAY2qC99+dd3Xpw+Xdk8tIw/UaHV9nn6qOQ3v9ziZ9+zzDU7m4wPDzM66FFtCkaWLReWK3xppoBJIrAWiyBREluApY7hvqcrPPbSEGUv5ENvqbNpJGLLug437m+ihaJc1CAUSSIxRmGMwNrUL50/BBYhLUokBJHFEoOMOXJW8swxzb1PlTlyvkwYFylrxVjBMlyyDBVtmgevaIYHNCODgsnhmPVjbdaNrfLw4YDfvHecdYOasQpUSopKSVAuxhS8gMdOKDqhximloLJWEMYSXyuu2t3myUODqfGpnVCtOyxVPeaXhvjwW+eZXlrmyefHcCQgIgwQx5owcghCSbOtGSr7DFZK3LC7xe0HWvzgaxc5dsHw1ad8njpW4MSZErHQBIGiFSmUkAghXhZ4JhYSa1I/jjE4ImHADfGJuOGaJtvWddg4GvHBN3couoJyURHHJRpNScmDN19vAIOxkihyabSLLK36zK8Injsec24+YrYecdWeOh9+e0y1NsaThwscPx9gL7SR+luVy/ZN7Xzf9/+kWpw9nYyt2/G9A/Av33+UUwtj7vLDT//Y1LT/q08cXOW2qxL2jja59jIN1uXgCfjPfyy5ck+Vu66fRfseq1GFZugx5Fo8pQkSTWzzg56mtRJrSYxPMy5RD2P+w6eGsEnExFjAvs0dRgZi3n1nm83jIVGU5nohBXg3YSLyNKNBSMHnHirw4ukSQmumLhaZmS/iFxQDnmCwZKn4hooP5YJgoKiolBVDZc3IIIwOxkyMdNgwXiexVT73SIV2s8SujZZKUVEuSsoFQ9mPcZyQbzzpE7QkzjjI7O+KYkmpoHjzdW2+85yhGUia7YR6S1NtaOaWi1y2rcy7b61z8EiRqZUyShogyvSyQ5SkAXYnlDQ7mlrTpVwoUioEXLaxw/V7OlxYqHFutop2El44o/nst4sIpVJwC7n2JNoUoNYY4siwZSLmvXe2GR1I2LPZMjEKJtaEYYk40VQbqo9M8oslLSrFiSSKHApeRLG0QlMoyqMJf/+uGq/Z7rGwNMGzR32ePR6y0o7YuSlk48AcGyt7fvXcyadaW3dt/F3beiEUxSu/NwBOeBJXzuyu1s98dF3hIbln/QC/c4/muiuqvOk1i9ywf4AgdKke8fjGE+Pc+3gbCxS0Q8WxOBIKOmUR071tCoxJ3XGxhcgqQqOIjUdsLQtNw/wLBisSvvRUjBBJepKsgb5UYJYLRAiFEBKpFHGkkUbjaEnZg21jlpJjKHqGogdFT1AqSMoFRaWoGShLhiowMhAzNhSwfqxBwir/5fM+jx4aZ8cIDBUz9i5KyoWYYiGkVGxTKBTxlETJTIOT6t4ocui0Be0goREomh1Do23SlrmSy/T8ALfsC/i775nnP31Wc77qIYTB2giTWKLYIYwkncCh2VaU25qS71Is+BS9Ir4XUS6EXLMrxHUirt0V84HXtdAqzopABiHs2o6ATNIZIxFC4rkKrEsn0KyspIDuSkCbykCTmdRs9kwLc+nXSlqu3dPi1ivqgCCOKlyYH+HQGY8njrVJRJO77+xw854CX35kgM88+Kj8sfeJj7aD5iO1RvvwXwQ0/5cBfubwHzM24hVePHLs7qMXXxAFN6DgwWUbfZ5/SXD0bIu3XlcjMhUGC5pdo1APisQGXGlxlV1TcUsy/4S1Nj1YGeCTzDyUWEFkILaKuKBIrJOmA22aGeg/WRm2UQK0EGmlUoFfsPja4qsEzwFPg+9aCp6g4EqKBUnR1ynAS4LBsmG4EjMyGDA+3GT9+DK/ea/hE/dNsGlQMVo2VEqKclFRKkKxkM4pnF02nJ718N3Uftv9G42gE2q2TRomRzvUOy7tjs1YXFJtaMoFn3JxkA+8boEzs3P81j0b0FJjMSQmITaWKNYEoaIdpsaoli8pdjQFz6HgJdQaaYzhOgmOTnCcBC3TRgkp03K+yJ5p6rQPqEZQa8gMsCmQ89jG5AF8BuTEiG6sk4M85RZLGGmarRKJkTQ7DvWmg3Yjdmxr8tZr2xScAY6eHSQIQ1zfct8jh8TJc/Hdw8NbT//qRz/b/kc/8+5XF+CfuN91RyvT/2zv5Kl/FkdCPnliA66j2TwJWlmmFxRffzSh4OYGfagU0spilo7O8ZgdILKcdQpY0/d9YgXW9DN97wJI/72gT5WkHpMssNLSoGX6mRwFjhI42qZ5Yy3wPYnvSgqeouArygVJuWgZKCUMlmOGKwGjQy02Tyzz1ImAP3poPUO+x0TZUCmmmrRUkJR8Q8mPKRcDnjoOLxwrsnPMZrq3VzZvB4pr91h2bW7z9OFBWpmZqdnWGcgdin6Bgj/I+25b4YUTCzx5dBKswpgktcPGljiyXT9JO9AUO5aCr/Bdg+c6eG6Cp/MUq0Erg1ImPS4ytQYjLIKMzbsp1R5oc1a+lLHzflXbx9qmP7AX3ViWJBGEUSpfdq0zHNhaJE4GOD7jMbMAIxXF+tEyh8+G8vTU6X/14RuFe9m28r/9Rz9D+KoBPA5astVu/8LH/+D3/+FXvj3nToxJ7r4zoNEsMrvkUy44jA4oas20OmZsVjqPLXFWTbNrGPuVQN6fs81e6V0A2L5a7yXKJC9V5wUdJbOKpQJHi8yVmFb/PFfhe4qCJygWBOWCpVJMGCjFDJYDRgbarB9b5cnjbX7h4xOcnx5k+6hhsAiVgqJUUJR8KPkJBT/CdTrUOhYlFY6ySNnTAolJTVdR7FIpRLRiQyvrVkrtqJJaQVFsePhema2TEb/0YzV+/vckTxydwKIw1pAkhjiJCWNDGGUuQE9SCBS+K/Fcm0671QbHSfP9WtkU4CoFuMpkihA2y65YsHmuXGSZlrXgTc+b6PqE1vy+D/SWVDEmVnT9L3EsUhtv7FFtwvJqzFI1ZnZVUO0k3HB5jdFy1T15evyf7Nr3A069Efxcpez9ucv5f26Atxp1OkH0bz91z8N/f2HlmB9GPp9/SFAL6rzh6irXryty6sIw0/MeyzVFq2MJwhTouU8kSWzK0qanva1ZC+60tCzWANvaHuNj1+C6a54iL+Z0AS5QKk2X6awVzdESz5W4jsL30pEMBc9S8g3lYkKlGDFQDhmutFk/VuXJYy1+/ndHOX5+mC3DaYalXJCUijJl74Kl6CcU/YgoCfnD+8tIpXCkRYlemtDYFOBx4vDBN67yzWdDGqFHK8j7RRWNpqLmaXzXw3Mq7NkU829+Ypl/+buCxw9PYKwkMYY4yUrrUXp8Az/tVvI8ge8IPDezFmvbrdhqZZAqzY1LkQJd9KUP8/tgF6R9rGxtr3DWfTX9oKfL7CbLrScm97xkrXShpdUxrNZjppcSTs4mDA21eP0Nbd58rcszR3xOnXvJv3j2gX+wdfdbRL3e+n8rf862tz83wA8fP4Wx5oZTx54rTF00lBxJxfF48HHNk4c63HF1i9v2rwLDSOHRcCTtUHYNPFGcu/tygPe9WrA5W1uRxo19JWbogfzSRw7w3IORV/KUEujMUJUCXOI4MvVvuALfS2eeFL2EUiEFd6UUMlhpMzZY46ljLX7hd4Y5MjXKxiHBSKlPmviakp/6Vwp+TMELcZyAmeUhHCVQ0mRpuV6QmSSSOFasG7LEcUQ98mkHNnXsdRIaHUmhpfBdB9fxcfQAezfG/JsfX+SffwyefGmcxMgU4IklipOMyQ2BZ/BDScdVXQnmOKk81MpmPhWLlqmBTWZA7y8EdYOYfvnXJRfRIyHTO0c5uJNuhTQHd1oZTc+9pRMmNFsxs8uG5XbE22+r87qroOyVaTWLlAqGoXLAk089XygNbrvhf2VG+Z8L4B/75DdYXqX4m3/0BffqrXO8+TqPuWWXiWHBSs1hsery2HMlJioRm0YNA6UEpSRuIDL3n8ocf5LEZEyeAT2xKaunyZB+2WLXMnd2DtYgm15JWoi0T1Eq0ZUmacOE6JMn4DvguYaCbyl4qX4uFiIqxZDBUpvRoRrPnuzwL397iENTY6wfVIyVDAMFQdmXFH1FsSAo+OnFkZb6Q548Kmh2XHxFdpGlGjxvQkiMIIo1JV9x4+UNnjpSoRWlMqUdJLTaioan8FyF67iZfh7ksk2GX/mpBf7pb8DjR8eJjCQyJmuW7vVgBq7Ec03K3pk3xcku7vSZWRXyMn4fyAH6MWX7SaWrz/skpOlJl65b0YJJeqa3sHuXSeiEafNzGFv2bJTcvm+ARq3AmVXFSh2qDcPcqmLTuhmumPqEu33X+4pTR7/U2nLZ9//lA/zkudNs2rRh8DOfvefXR31z2zeeMvzI25a4/RqP5dUSS1WX1bpDFDt4yiU2MaVCjFIKR0s6mY87zG5ZSQxxn9vP9DG6NbaXE8/QbfNOlUs+lyAFkJA5uNOn6gI8ZXFHp0zmOuA6aSeQ7xoKXkIhkxflQsBAuc1Quc7zpwL+5W8P8cK5cSYHNWNFw0ABSr6gVFAUC4pil70TfC+mXOzw8Asu1ZrP0FCvTJ5fk8Zk3e+JYnxE8bormzz8jEm7aELTB3KJ70h8R+NoF60LSGm4bJPll39qgX/6G5bHj48TGU2UpICJMjCFkcGLZNdd6OpeN5SWAqXT46Ky+CStE4hu5qlXBuqxR38ioF8qdiVmF+DZ+cysylHmUgyzppROmF6EjrTEgeahZzRhDNVmOjR1sRGza3ub110Tc27avy0QJz922513/62FuePV8ck9f7kAn5mZZ25u9Z+26yfev2VsiZXlIh/7iuC2q1a588oG+3d6GOMRRjr1UBiIYoXrGBytcLTC1ZIggihOtVlsBEnS02tmDXtnzG16h3uN5TUL1XNpkjKRWKO7c8egVqT+DG1TT7mbTor13YSCH1P0I0p+QLnYYXigxsETAf/sN0Z5/swE44MO48WEgaLNwJ2xty8peCn7+15M0QuJTUAj9BBK4uQM3tXgIvN+ZAaxyKHkdlK7QOgzlIO8k9ByVbYSReJojaPzBbSW/VstH/lb8/zjXzM8fmyCyGiCRBAmJmNxgR8ZPMemzSHaZHcvmd7Nsjtaenyyrvz8tc+YdSmT54a1lyUDTB5PZQ7FxBKbzJ2Ys3dks1Ed0IksYSJYalhOzUYEsSUmYXSkw113NLnjgMvs/BiPHFpmT+3s+zdvPnQ6jKJ//pfK4GHzIk5x3ZbPffbjBw4fXWF6QeFoGJA+n39gnIefb3HrlQ0ObGuyc71hfFDiuw61ZoFaw0PrdN+6oxVOKFP/dnYbS5IM5P23vEzT9d8i1wBciB6wRV/mRObdP73bsNYWR6XAdrXtugd9J8l0c0TBDxiqtBgoNXjyaMz/+5ujPHdmgrEBzVghYcC3lDNwF/w0nZiDu+Al+G5MpRRy9JzloYMlXClxVNpZ068jc3NTlChio7njmoid25ucPl9grJg2FnTCdJ5Jq5OxsFZo7aCkzYpGlsu3wK/89BL//DcMjxwZoxMVCBJJGFuKcSpZPIcU5Dq/e5kM4BKlkozF02cP4KIbqHc/dZ7vs92XbpxkrV0TQyWJ7UrPOPOVB1HqK28FlmYgWG1Lqm1wvJCxoZCdW0Ou2BZw+wHLxECJcxeHiRLFDZdb6u0lHnjo0IHvu/snthw5dnHq8r3r/+IBfvrsRWrtytaDTz35n101/Y7XXlllarbE4qpitGIYKsOFpTKfe6DMZ0TAnq0tdm1qc8eBBtftDlGyjBSFDIAWLSWOTv3bUeb+SxKxFuB9GZV+gPeHQv3ATl8tUuVpwbSzRcmMtbXF1QbHMXiOwXNjfDfG90KKfsDwQIvVRovvHIZf+eQkL54aZTQD92DBUi4ISr7o5srTzItJ2dtNAV7wAsIkodP28VV6kckMMN2cf5Y3TgNNnWp5HRCElnYk+gBucN0E10mnCWilUNLpAhwBV2wT/MrfWuU/fCrm8WMjXKxV6JQkg4mlHFt8x+JlT6cr0bLjkrF3LlVygMsuwMUlgWc/k9s1sVEX4Hks1WXv1FsexOmF2+wIFtuSRhJx85Wr3HKgxZ71cNlmhTVl5pbLHDxeZH5Jslo3LNaKnJjucOPVs+9oLT2a7Ntz3T9o1efOFSuTf7EAl9F5CP3rF2eP3f3okydwXMNlWyNu2lzizEyBSkkxVI7ZWE9YrHtcOO9z5FTCVx9r8pNvW+KDb2gRxbpb5VLSomKLjiVOH8BNljfNy/Rp9N6rAq6BeJdtbF/O22byJD+JKXNrbXC0we3aY1Nwe24G7uEmi6ttfvkPi9zzxBhLzSHGBiRjfgZuP9XdxSywLHiSomczBk+1t++FQMiDz7usRi4jHmv82AjWpNrS4oem4mnuvLrFk8dDGpHHQFerGtwg9aq7OgV4esE6CGmznDXs3ST5Tz9b56tPtvm3vzPB9NIQ7UHNoCsox4ZiDF6Ujl52VTrQyMkDTSm6QXDvs/Zp8ezOc0lFPzsX9hKJcinA6TZPhBG0I2iEgmpg+ODbFvjwm9u4skKjXebcTIGlqstSVbGwArNLEafnEtZNNrnzhog4OMnBFzbefWFp8A/jqH3uL5TBF1ZaDAwUdj3z7CN/r9N4gR3rynznBcWxqTo/9MZl9mwZxneLlAoOlZJiuJKwfjih2lScnBvgkSMhH3xjC0en80ysFUihuiBMVKbDTV4x62NvxBpg9z9SkjFZgJSyt8oBnltis1dHp/NOXCfBdWJ8N8JzI8qFNlq3ePiFhI99rcK9j44TmgrjFcGon8qSNAWY58lV9hQZc/ezd4TWAY+9NEgr1Kwr5p/nUganW/qOYoXvKG64rE1sUoC3I0Gn2yaWNvs6Ok9xqgyIafUxVQ6C0UHB+1/bpOxd5He+1uY7L40wFxVo+ZJKbClpm4JcZ3GIst1Mipaie9xygPdno7q1hT6Ap3+HfZkOT3J/ed4yaNJYK+8KCmOBFYZbL0uIw0mOTQ9QretsMCis1BIWViKmFgwj403uvi0kDgZ54BnNwiOH2LrxJGFs+bM+/lSAz0xf4IEHHmB0eGD9My+evP3MmQVuvsLytlt8PnG/4qXpNjdclvanu45HpZh+2Lyws3Mj7NkxQLuTAlXrBA+RyhQtcWJJrHtdOGkeNc+rru3E6Ud2T3tnHudMm3afWcWuC26VejE8J8J1I3wnpFjs4LotPnmf5t/9/jinF4dxPJ/JsmDYS6h4lpIHpazDvuCl1U4/Kwil/pUkuxOk8mSpntAMXVylcGUvDZej29KzGKSNv5Iwdig4HSYH21RbZdqRyMatpbGC4yRZmk9l6U7VK850A9fU+fiOW5tcu2+RX/mDDp/4xhgrcYmW56R1Cp16cDwNrup5xNPjRTejIkV/utX2BZ1rH/aSYNP0gbzXIQRxksZaUZLebQcdydcenuDs5nJWgSXN/bcTqo2EuRXDyQXLj1y3Stn1+cMHE0LT5upNCVftvuzni5VdR79+z/84dMW172LDhg3/awBPEsPb3nDL1hePHPvNpYVTeHKQT349ZqjSpNFRPHm0yPtfW2X9mIcQlpLv0uykVk5jJL5r2DCu6YQero7RyiBE2ooVJ4pYpU0KcdLH3lasqZb1pwXz45wf+Bzcedk5NRLl7J2ydipPYlydShLPDfCcNufmY37rqyW++MgIZ+aHqBQdhn0Y8hLKns1K7zm4ZQZu2S0K+Zn29tz0wqmUAr7wmObkVAFfibRimGdQ6KG8W/2zqQ6PYs3eLfD2axt87OsjNIuaSmTpRBYvzOIGZdBaptkPRR/InT7EpXeFzaOS//eHWxzYNs1v3DvMmbkBVuICLUdTUoJiBnRX2vTCyQJyqWxW+e1VXtdmVXrnoBtovgzg6TPudgilII+yrwHKjuX0BZdOK8ZzYhIDYWxodSy1lmW6KnH8FjfujSmXIt58U52BQonDp8qcOL184M7Xb/rM5Ve++S3tdu1PlSrfFeDWdgCPZw8+u/H81Es7dq9boOCVGCh6zC56bBs1RMIjMcuMlptYC+WCSyfUhLECm+aaS4UQV8c4OkkHRGa353ScQzYbMMkHuvcbd9aCOz+4QuQNDFlxQppUnqicwQ1aJZnBKEk7d3SM5wW4OqCRhHz0My6/89VJZpYHMarA8IBi2LUMuIZixtzFbvleZj6VTJpkufMuuN20ehlEISenvdTj7mVZnL6ik+hDRl7sSb3TmkpJs21jiPI6NMIybVdQiCxBDnCdZIUalUmK3AL8SsGrYmygxYff0eLuO+b4na/W+a3PjbDULtHWPr5WFLXAVxY/trgSHGW7elz3FX6kTH3s360A1G+tSLIyfZe9Teb+zFLA+b+vtixJEuNqgSUNRtuRoN6RzLYkE8OGRmuCRq1MvaE4fhqOT8UgV5jYcHiH1t7GvfuuOVdrxAyU/2QYf1eAX5ybp1AojRUKfOb48SedWivghstbvPmGClNzRVodxZZ1HdYPuzhOG0fHDA84hLEmSVS6bUFaXJ35tbNpS8bkrK26swHzdrOucy13pNk+zug7yOkcQdv1Ukhpsltt0m1Q1irBdSJ8N8R1QmqdkMdelHzyvgqfe2SETlLGdV1GXMGgayi56ZztotsDt+9JPE/iZdIkLQxlmYkM4K6TVj7Pzlq+82yRMHLwSvZlAWb+6Ja0M4deGCkcR/O6axv80QNNjk+XaPvpvJfAsbgxOJHBCU2a3pNpp7wUsmc1hrU5diMpepqJwTb/+P0tLtsc8In7yjxzdIDFdomOcnEcha8lBQmeSgsvTm5ME7ZbT5BiLcgvbezM3Zxd/d3X/haadPhnYARRpjUdBNUOeCp9HwtEJm2Ra2WvwcIAv/FFybYxSSswnF8wTE7UuX6v4eDhF53LD1z7mWZz+cpWs7n452bw8eH18qWTh69/8pn7BzaPG+47WOKpE3N88I01tusKQaQo+CG1dojpBJyfDdi7JQ2qLKrb6REZy3AlLYebRNEOnG4fZRwrEpMDvR/cvU6Rfl9tTxf2gVvkFlCTAlwluDrGd0OUDqk1Yx49LPj41yvcd3CAlVoZWfApFRRDjqXiGoqOpejazNbbY+6CJ/Fdhe8KfJfMoWcycBs8J9XfSgecmIaZmp8WVrJm30tv8fk1a+iBPDaSMNRMVAS7NrU5dD6mFTkE2YxvN0wZ1lFJJlHyQg3ISzpzumanPA2ZaHzP4b2va/Om61b51nMNfu8bFZ45WmG5UaAmPZquxlUCVwo8mY6wc4Ttfv41cqWPaHoATz02eYo3zjz7QQbswFjCJMGGCZgE3zOUKxYrICYNVgUJBR2zb0vI7JwiMAVW2w5H5wRhbGmEIW/bt8qGoWG+8oTlO0/cN6DEG67fuGHf1/kuw4O+K8Cr1XPeSCn5tUFxoXRsyXBqAe4/NMoLZxu4KiaOIoQCrSu0o0HOzmn2b43AGGzXRJKKstde3+ayrSFDfsgVOzp4rksQuERKkySauGuml33dIWsJI7dzprIkBXaPvROUTHDzbIaMWGzEPPys5muPlrnnOwMs1EsI38cpO5Q1DDppJ0/BIZMdUHBF9pSZ5TTT3a7Ay9k7B7iOcd30QrI24sGDHlOzBUaHBY40WdpS9Bp980duKzV5ejS96LdMCF53dYsvPhHSjBzakcB3LG6csngQ5VbXJNXg3Xy1XCNT0mfveMZZvr3gBbz3tW3ecO0yX3qkwVcfLfLwi2UWakXawqXtarSj0ELgSIkW6UWqRc7oIBF9cVAfg1tISMEdGgiNIEggNgk2CnFFh2t2NxjyInZvj3jdtSGYvg6g7Hjs25ZwblbRiVaRjkRIRRSBLy1X7TCcvdhgy6TDI08tl/ZfJn4tsTOXAe0/F8CPHDlMo9ni/qdjTs8VqddgxFUcO+nTjtI5f6mlMq2CaQkPzve7zDLPsrF843BEQXZYP9Tk535smR+4o4lSMUHgEScJOpEkRmW9lGJN80J6MG2mvzP2liYDeJKl/2I8L6IdJByfgXMXFX98/wBff6bCwkoJXB9dcSgqSdmxlLWh4FgKDumccRd8J51JmNpMZd9TZL+3GchNF+Suk7annb5oOHTWA8fJgrY+I9MlUVrPX5NXcNOAO4gc9m8L2LexybGZIm1fUIwFXmQJFFlqz3T9NWmgmacge1qlm2fPYp3EKOJEE8UOndChUAj40JsD3n5jlfuebfLpB4qcu+hzbKZIWPWIPU1HKaRK//tKpHJI5WxOLxbq+lEyO3Oc6e/EGqyJIeqg4zZ3v3aVn/uxJmMViZIupYJLEisSo7vN4olJJ5WN7iJzYBpsZi3uBC71hmawZLjzig6nphdZmD1JbaX83SD8JwN8bnZKhGHn793/jU+Musqh7Aou32ARNp94lKZ+ktwgZXumm26KyAjCRNFOoBE4NIICh8+X+Lnf0kgxx913tJEiIQxdEqWzOd2yl/vOJUrWcSJy7zKp1va8GC0T4iRhdtly/3MOp6YLPPxUgZnVAqcvFsHzUCUHX0tKGkrapFkEx+LpdHC855CBOH/K7KkygJNp7gzcToLnpOzt6gjfDzm7CEfPFXHk2vRgV6L0A6Lrfc8yKUZmcs1h35Y2u8ZbHD4T04odypEg0ODGablb9QFcSoGQcg2Td2XKGstq7j/PZsgkDoHjMlAI+eAbO9x6oMbMao0Hn/Y4c8HjmweLXFz2SDouRipiV4FUQPpeeR2/K7vWmOByM1EMUYBOOrzrjlV+8SdabJv0qbdKNFo+iysOYaS7CYY0BusxuulenNmQ0CgdFAoGbEicwHOHj4/+6Ad/6O/NzM58ZMO6DfZ/CuDffvgxkiR5/5OHF0vb10fcsLfA+XmXWhPaQTptNOzba5P6D3pOsiQDf+pySyPk1Y5k3vE4dXGIf/7rCYlZ4F23BXiuIU40xsoug/ffz7vBpDBIZXC8hCixnLkAh85o7n+qwOGzHi+dLVAPPILAA9dFVTSukhQVlLSl0JcH9nTu08hts6kv3MtkiesqXFdmF4DtaW8nSSuLTq7zI6wJmV+RBNZDa4mb3dalpK8i2PcX9bXgmb4AO4wdBJqx4RCpOjQjh5YWeLHFjXqGMa3MmgqkFH1RbHeagMCaXmaqP1vlJCodPxE7tDouk0MhmydCrtke0A7b/OjZGofPOdz/ZIFDZ3zOXPCIYg2uxKh0xWLfqKy1fxgGbAJJjCtCfuB1Vf71T9XZOFZkYWWAaqNEs+3RDtKm6ThWaUCa3cnyinYvf55ZrMPUSlxvCi4suoyPtti7Zbp06ujj75dSfeR/isGfffrzLK201EOPnxEbRhMKHuze2sD3KyzXNI2Wph2k3oIwtJnhfq3JJsncZEk2tbQTWDxtiI2kFTmcOlvgD79S4sYrAnaMB4goxlrZZW2lwWaeiyi0tNuAFJyblnzqPo9WpHj+JY9TFzyWmh5B7Kazj5WDrGg8JSgoKMp04KOnDZ7KwKpyu6xIix794HYkbiZLPBc8lyxrYjJHpMF14qwiGlHwQxZWE+5/vEyt4TE0INDS9BoJ5HcpkhjWsFUQKEZHFG+6scM3n2lzvlai7chUpmhwYouTAV1l45GlTNJ0If2zTmRPNli95j1Mnr3SGZurVLo42sNzIkpuxK37I27cF/LO2zucmFa88JJDO1R84v4iZ+fSGTSttiIJ0xkrVoBVIrMOZCAPDZsmAj5wV5NdWy1Lix6NdjFbDObSDjRBlLewia7hLja9ibdxYrvzydtBuh1upW44v2SpVGBq1jI6clwMjF2uvvrNe+O3ventfzaACwFjI8WPklSveOJYxOuuqzMxkuaYB8s+tYZLo512cqcjjMlG8NJd5nSpoyyMDIWGYaVt0UkINiboCOpIQscQ2wREghBQbwqef8Fhua4oePD0MZcvP+LTiRSdSDE752KEJrIaI1zQGuEppFT4SuBLm+Z4ZcrUrrLdErWrsnJ1xtxu3pfZBbfKejRFj70dg+vmBq2ky96uG6FUyLefU3zxiTLK1XjSZtXBtUWSV2LwPBee6nBJlCg6HYe7bmpzz2N1PvHgAM3Yp5TpcCfX4RHdpuG8W0gI2ZMOABnI+5uGE2PSGeFJWj12ktS+nOrzhDB2cMIYpdKaxXAh4qY9MTfuDrHC8O7XtuhEadrvy494PH3UpeAJluqSFw671Jt5vAFJYinLGLdgCWWC0iFBqJieL7Bc04RZf2Y+IDVXAGk7Y9qGF0SWMEzSmeQdQ70NS810l+f1fosbLhcsVFtXDE6WPmosH/4zMfiJcy2UV6jUpz+558odsRryfUYHa9TbNSZGOwwNlKg2ilTrPo2WQyuQdEJFGIrusMZ0RmCvqpV7FrarhNfdsEipMoOjAxaqgv/2O2WaHZHlitO8a7WpeOaQS70mkUoSWEVgNFZIEJp0LrAGqZFSoqXElWTANngS3Kx7PgV3Bg5N1zbqOWnjsZutQ7kU3CmzW1zX4OYgd5K+Z4ynI6wNmVlyCQMfb0DiZvZcJfo8HXlYlnf00Cuv90CeBoNh5DBUVmwaTTMP7dijHQsKOu1n7PeQpNmjnr1VCNl9L9uVKwJjzNoh+EmamsylURxnRbFEESuNVjFRZFChi1ZxlnqN2TiWj5tIuGxLi9A2kdpSrwmePuRQbaWxgc3kWasjuOf+Ah/7TAkhCxQclxE/beFL//60cyuP45IkVQNxZvUNQks7tNQ7sNISLLUs7SRiYKDDclXxracrNIJElcabez70/vdWrK3Xhah8d4DbeBFr9EeePDj12nZtnkC5PH9O8ZHPjPD9t7XZv7nGga0NtqwvUWsUqbc82h2dblmIZba1LJuVYbrjNnC0ZagcsXNTwuZ1UB7tcP8zil/7/TIvnXdRngChQEisEKnWk5neUzq9LwsJUqURvZQ4Ip2t4mfzVVyZeityplvzqrNOekW2eg9cLTMmTxuP3Qzcrs7z3TZrGLCZo8/g6gRHxzhOhOdFXFgy/ME3S6BdHCl6AWZXnoiXMXgP5HnlLwdbWg8II4cPvKnNlx5u89J8mWbiUIxFdtGKzFGY+UaynTzd98pvweQd8WCzOY3dtGTG5rkXRmuFkyRdoGuls2pwjFIOMkvBKmmQKullr6RBRobxUsLbb80KeSLNfmjfcuSCwye/XOaBpwZQgwNsG3XZMxkwVJK9WY3QBXnO4GFC1zpcbQuW2+CXWtxwoM6BLR3eeWuHe54YZnFFoUyHpHPutcsr0x9Jkvjv/KkMfvbYN1BSuitLdR55boRzi4LYVBDA798DVna4ctcqf+uuKjfua1NqlGm2PTpBWp7P1/LlBRtBVs10EirFAMeJCSOJ6Uhm5xTVWIGvSRyVsrNUXaAjdJrjzZ5SChyRFiI8sRbQOqvC6S7AswZbTd8clB5r5131PYDLbsDpuRmotekLKFPWdjL2dnWElCFTc4LFuo/QOiuSvDyD0i1SsdbD0d+V3gsEFWHsMFIJ2DLZ5thcQDvRdBLwE4ET226wqWK6ha5eKV2tKTnmRrV00m7elLAW6DpJSJRAa4lOVHd2ilYq3fcjTRZXpABXwqxJ08oM6CL/uYxRJmZAGdZNxOBJjKNoJZL5arrvx3HSIBl6kxTSYUYQxIJWJKkGglo74aYDy3z4ripXbXPADrBSm+D7rrUkiWRq1uX0zDKf/ux9brpM7E8B+JkzMwgJc0sBWyY0uzfKrtur1jLMLPs8dWiS2UWHX/zxOV53TZt2u0Q78OiEmk6gu2OM82heydQRV/ACin6bYjFkbgX+6BslZpa9NJKTTgZw3QV4noPVgi5bOzmo8yJEZo3NDUM6B3Z3sH3qe+6fhdIDd9p04bqyq8k9Jw9Ac5D3gJ66+tJFT64bERPx1ccKzC8WcAYUbi5NsgCzv7/xZYUeu1Yf9xd9OkE6wfatNzd57MUO9dinpTWF2KQSJe5VSbuldGEz63D+TjLT+4K1Zqi80buXg3e0IFEGnRi0zmanyB7AlTTEWaU4lUV9wM5/JgyiW3BL6xmbhkPe9+YW33o24GI9YsXRCBStyODpvEKajeczgshImqGgHUErNIRhwJuuXeTnf7TOppFhTpwfZWbBp9ZUtDrpoixHR3i6zfLieV5pzsIagJ9+6ctop3DLxamHr50catBoCRwlEWhml1yWqjA6EIM0PHt2hH/18ZgPTq9w142rVAqKAcdl3Wh6i211FFGSakKR3e58N2So0qLa6fDrXyjy2IslcDxQLkgXpEaI1GuhBbiiB2YnA7MWWTNDXzFFZ50zqb88WyaVue7SUQmpNMl7El8G8DzgzIGtbQ/gWVqw30vuOhGuEzJXMxw8VQDtojN50gVet7S9lsVTfKdNHF0m77Kq7ObEo8jh6p0BI4NtaqtFWrGiqMCJ078lTCwqsaioH+CZP777RnJtF3xX++dj8Uz3wnKUJFEmnbWi0ra2OJEoJdEyyeaomO5TKpVWNzOGz1ndqAQjY4yVyFBwy4GID79rlf/+x4qlKiyUPBqR6npeIDVlhR2IYoNTDFEqZHK4zd03rfKDb+iwa32F544Pcfh0kZkFWK4lXFyxSBEhlaURKDZucK599/fdfsunvnjLoz/4zje+MsCnFwSOk7zt0RfkVQePBtTasGdjwM1XCm660mF2cYAosjRsxJPTLs+dGeOlj5W49/E6Q4WQbRtD3vCaJp4juWKnYUMFTJLemJVKiEk4dAY+eV+Jj31xiKV2WohBOiA1TiZBvEtBnZeL+0Cdb0XLQd37mejLFwt0F+A99k67y3P2zjS3pqu385RgOtOvB24n099aRwgi7n3E47HDZaSncaVI52/Lnndjjd20K1K6JN6bDtU3Gi0xqTen3XG48fI2b7+1wW/dWyZMPJqJxE/S9i8te27FrkyRstsA0nurfiYXfa1l2WoXbdM4QBtiI9Am3e8TK5Mea2VIpEwBrvoAntjsVXaZXUtDYlR6UdgEawSDRcHPvrdJ0TN88psBh0+XqVkvk6JAYhmqhFy9t0PZiXjttW12bowY9C03XGZQ0qXVgRMzAd94qkgYGWZWQtZNhLzuqiY7N8DFRQ+vNHFVUbfe5pWiR1+Rwc9fmGagUnrTF+/99g8fPt6m0xoibCccPlHg4nLMT7x9kZsOVKm1DF875BMnExR9B2E13zlcJoxjCn7EFx4K8P2Qqy9rMzkYkkTpUlIhFUEieealAsfOFKnFfrrtSTpoJXEzYOc6VmeOti6Iuy43ugNrLgW2UrlMydg7b8vSOcBlH4vn4xQuYe6sZ9PN2tscvVaapM+IkIhPP1ghsR6qW73sDzDz4FJ0MxtrNHjO4iaXKRKTpQvTYFMjcHjvnS3+8KsBVRPRTnzaicCJU8mlkqwIFoueREHycu+R7EtNCqzu7ypKe1UTI9DaZDIpZfBEWZQRKcCTXrNynp5MgS0zk5shkQZlDMpIEpNgpCSxiqIn+fA7A26/aomDL1UJTDbC2aY579EBy2suSyh6kuFy2qgexQ7tIDXseU5APVjhqXMO7abHgR0B77lDMDk0hLCKoYJCssqQX/vhvVe86aHlpZlvjoxuWAvwVhBhiHYWvOUdt+yfZbBcodbU1FsuSsY4UvPNgyt87uEBHj0yyERBUnHSNJW1EFlNEDusNou0a5YT8wmYOH3aGKzFCklsdMrYWd7alVneOtfW/SwtUj2tRK+JWAnWdJ/obGpVLlVUl8F729N0BvCcubUSvUxKn952nLwx2WbMbbrMrfvY23NCDp6SnLzoY5WDkhJXmrWmpCxN2M0QvqypsV+D9xoguiXqRBHFDjvWR+zb3uSJEwUi5dKORXqsEouORdrkIWxW0cwDTrlWqnQvqL5hmrZnbzUGjCa9e0hLolPgq8T2gC7TUXEqycEtkV1Gt8gkd3QmKCNRicIoiTYKkygcN+bqnTFX7kgQIumOaY5jh8S4GOMQJw7VhmYhSsc05/Gb5zl8/y1N1o1e4DPfKXP+4gjPHvKRQtFoW6ot0HqVofUrOw7I5s6Q9jdfxuAz88t4Xpv5pQ4vnEx4y42zbB5SdAKN60R846Dh176yGZsUGfIFgwNJ6ufNxgInWcorzBYWNSNFM9K0knQNhslIRUjSwFEKvDzFlzF0j7lfDuzuGIh8FFvO1H2DNZXq/SwHds46abCZS5Pe8J8U0HSB3a1WZszt6vyZBZc6whLx2QeLLC8XEJ5OszmiN8n2ZR6U/CCvyYP3Dx/t+bi7uWmjiCLN6LDkPa9rcPBUhSDxaSmXQpJqcS16x0jGti8lmYG8a8zNpEqux8nHr9neeA4r0InF6DTjkiSpsSsxMgO6RSUiayoRqWQx2WwVadIV6EaSSIkyacOJyZg8yfwvuVZHkLkcNWGkCcJ0BnkQaeJEE8e9EcxKWlzHp1z0uH1/i1v3N/j1rxgeen4EV0vagWGk1OHGfRZHRbRbC4Sdzsslyufu+TJWSJykxtJChX//BxVqQUIQJSAKWOMw7kuGCukmL9dJW53yqandWR9x2mrVDgWNQNCMBO1EEGYz6yRZKk/YNYyt5cs1thJ9X/c9Zf9An3w6k+q9dvW3ktn3qTTRWuJmKfUuuJ0euJ1uKb7XpOx0tXeCVmnnzktT8Jn7ygTS6coTJ89m9JXn+5t1XzZ6IX/tMmp/w3UP5H6iec8bO3z86y1ePFMgUg4tKXETkx03gUzsmsZrIdPexxTcPcmSb72wec+rFrmbOQW26nXlaJXJFpMydmIyo5fJOn8SmzVfZGyemDQTo3qfX6tUrsRSoRLTdYJaK7I7lKYTpH6YVpDOOg+jvC+ADOCgtWG17lPwiwyUKnzgzg4/dOcKQljaHY9Wu8D0vMfU2ZMkwQWSxK4F+EvHZ7hs9/rir/6X39h27lyNiSGH4bKg3jI0OmmpXYleidvJAJNPROoBPPWktANDo91beKRF2vSQWNGN+PuzIV3G7tPZSr4SuAXyku+7sz1y5tb5qLbeBCeda+9uwacH7i5rd0GdjZhw8nnaacubzuSJckJOzmgaoQtdedKnvy8pz/eZ73rg7tfDl+bCcxY3iiROGa3kCPZs6PDiyZDEeLSNm+bEpUizNplUibosbi8JZ0lBnpuw8grnmgvMdqcZqAz0SqWfSymRAtvk5yVrD8zBnrF6Cuw8h55+3wtC08pr/vcniSKINM22R63hUm85tDqpYzAvEuZ3fC0tWltcx8VzCjg6bVGME0Gjrag1JUFgKBYVjrNp213v+tvFqPOzLcdfnwK81Zjl0OHqG3dvH/inGweWGBvUXFwsMrPgslRNu+ONpWvg7/mR+xsCewBvddJ2sSg2dKJ0YL3IGhJFn07tB3hXV4s/Hdiyj7V19n13HFk+izDT2vkcPicv+Giyg0UX0L1nnzzRPeZ2VJxtZAtZaRj+++fLLLd9hOfgSrrVy16B59IZf6/86Kbu8qqvFWuKPolJXX+VouZn3tXgWwcrLAcuodS0pcTNPPjdkQ95txOiOwJZdFk8tbKm4DapIcv2MXh3klgfwJNUf+sM7Mqobs+rMn09sH8i0HuZF5l5+PNA22Tp0E6oWam7LK5qmp3U05SY3nWZz0xMz3fvGBubmv2Wq4aLyzEzSzEjAw1+eufQP52ZPv5oq9X+UpfBV+eP4Dge9ZWzrK6ustpyESJmy/oypaJPJ1DdW0Z++81vx2tPWD4OQXJsynJ6zhDE6aFW0iKzf/8yEP8JjN39wy75mVT5iU0BLbt6PB9JJroSpZsyzJlb2WyUcFo0yYGdd647WS9nPmoiZ29HRbhuyB8/6HDkdAGkg5A9a6wSfU26oq8Ps2+j2SuCuz/Y7PpFZNdGGyWaOHbYv6PFO26t8/Gv+xjt0ZYunhRZPjkFVpSP0KCPyQVdqZJWNU1Ph/e1Bnbz8Uqgszy5kqCzz5SCOB8voTJGN38Ko1uSRHSlTB4I54fD1QlFL6TadDh1ITeDrR0T0p31fsmEMGOhExiW6gmlSoft22JMGHP81DTNToEoCnoSpRa6ODi0Yp8XT05yftFlcizh1v2CscGEl+13z5i4O7uu+5oe4EoxYaCyypPnXFaqRcruy7W2Un+Kxn7F70V31reS/dIkB/2lAO95qLvMrcnGSKzNlvS0dy9rojP2dnQ6tWq1Zvjyt8ss1TzwndTkJfrnsVwiUfqUyaWVzJ5UEX1VRsGaTpyMxaNYM1RRfN9rW9zzWIflpkeoNK0kl0ei2yScj3ST8tIJsf1Mnn6fa/JukNn3ObQBo2wmUUDZTA8bgZGWRJIFlfzpjG4NJh8R1+2dNRS8iEZQ48njCWfPVxjwkzX2YtF34HoxTZ/4sulAphsuc9k46nL8XEKlKBkfTieDAejDx04xNjK09YFHnv27py8ss39Hgcu2KVxtGCzFjAy0cZ0k2+XSO0M2M/Pkj5TRU4BsmGgSySpBPEEzKlFy1lYZdd/23V525FJ93T9OrO+1H9wZsPP531LmgSVrwN3bbJA2CziqH9zpq+4DeipL8rRgjFZp5fLsOcGJKR+Dh5C664XpuQf7MyhirdGqfy8ll8zcRqyRJ72ij8QkqZ0Vq9m7JWTHug7LxwrYxE1ZPBHdCm8+DCiPc17WHYyhd9n1uqZ6wWfmj5Ep0JVJSaKrz6XAdGOllKGVslnmhB6jZ0DXxpJIkf13LFaKrvlOi3S7tOc1Ob/o8Py5ChtGJb7KHJJ94O4tO+j1g0qR2ipGDLx41OElLQjCBL94kYmRvX938/bXPj87c+KcTpKEVieYFJg3NWqrbN0tGB2qU8wGUhb8AJ05yFJQ5ykcmSXre5ebVglKBhyfDvnDB0pMrxTwsg0Hud52+rwiPV0l+kD9SvPy+hm8L7DsA3iXubP/Zg/cPcNVOgioX2/bNaDW/eyt4uyZpMGlivjqE2VOLhXAdZBSZt7vHrjFJex96biIV5Ip5mUBZw7uXjYiMYow1GwfDXnrjS2efqkIxiFONG2RWoW1BJn0pFJ6UeV6PL++bO8is6RaPLetdq21afOCsWD6gK6ylHCaGszZOfudtBhp08+rUqBrabP8uUVbkb5XOioHKSxGpRp8cljwgTeusNxUHJkaREmdSpm+250QqSi33Tki6d3KkWl7YWnWUnZhYkCwaXmJKI7eFMfNSWPCc3rdSBvP11y5o0qxfYGVhuYPvyVZriscVyCEB8J2Pd2JtQSB4frLQt5xa5uCTtKARFhakeBLj/h85dFRppYH0Y5PxTU9b7a2fYaoHOB5oPjKgyC7oF4jT3o/6wa8fcWe1C+dr+vINqvpvhHK2XRVpzvWLZuCpXKzUY+9HRVRKIY8cVzxpW+XaHdcKGq0FDh5HnqN6UmsyZz0pwrXovsV9PclKcP+vHgUaQYqmnfe0eHrj7V46rgLJYeO8XCTXtledd/f9pzhQqTdwFmIZy95/xzsxgqskhibaW/ZB3STfa8gkRZtRCpPukW3PNNiMUphZKrRrbLdim3OxEIqZGxpdxxKhSLfd3OD6y+/yD2PLvPFR0s0A4WSgiSx+E7CO27tcN3eiE4gM+tvetfJh696rqXakHzl0QG+8bxg91WGgdGEaj1BV2uSioGzF3w+9fVxVlua5Rp0onzsVvoaGUFkLKERRInl8DnDp74Vp0FLVrEwCGodhzBxKXuSQddSdk3aGaN7Nta8INMFthL8iXpbyjVAXwPsPMDsi7JfCdy6H9R9rK27gWT2mj91OltFqwTXDYnChK8/XuSl80VwHIRUXa9Mbx1fpnsvdRFeoiHXBJh9lZ8ug3enemVjH2zuT9GEoeayzTFvvrnJC+cKBLFLIh3aRqUgzwPd/ELD9oE9y6zY/vd/+cVmbdrvaa3IgJ2C2sg0T57YTJ5kutxYSLIsmJZpDj3V4KCUTGWMsRglMN1xoWtNaBbJusGAn3xryA+/vpaRaVoIMkbhOQ5aecSxzpqnZXcpbZSkRDDkSd7/WoeZecvGURcQeI5CXzj5eZSWiE6bO64pMrfssFJLl5K2O4ZOmDYNh7Ht7VtJIIgVnVjRiSBAEJk0ITXgpV00vjJpg28/uHWuv/tG93ZTPz3p8XLmXvt1P7BlvyTJGSUHd5Y/1d0Ryra7KzLPd+tcnji9aVhd/a3SCbSHpwTffKxAq+1AyUGKtArbu/Pk015Z++wXkpeEmr1Cj1gzpbU7/qxPopjMfhyGDpWBkDffHHDPwx1eOOOBcgikpJ2IvmxO3+zGJH9bm/M5VmRDTHLLgAKTxVXGihSM3descVn2As2c0ZM+Ykm/z86FTX+njU01ez4gP5sk0L8wNu2aV7Q7XiqFZT4qIg2uw0izUk0LQFGctvWlPZsy3Q0aSlodQaMFK3XL9ELEs2cOUiyfwCQJ+hNfW6AdCravC7nxsg4bJz2CToGLmT220cpAHqXr/9KREVnFMmspaodpiT42KU1Jkfm2846aDNhOn0ZeGyzmy6JYC+QuuPs0t8yDyX4NT1cjdhk8G82cA1xnacEemyddiZLKk5y9467+dpyI2Mbc+2iB7xwuphurMv/MGnlyaXn+kizKKy8J61lm+3V4f7owsX3dPkaRWEWn7XD75W3eekuLI1M+ceJgpaYjNE6SXWxJv1RKwdwLcfsiN/XyIZpKZV/LrBFB9TIgtp/Ns4vbyHQ6QDr4VHSXUOmM8dPgU2ASi9Fp+1x3Hkx3NqMiyFrwbOZZDyNFO9S0O5p21hKZdoylWAsjQTuARtOwUk+4uJwQxBEdBG/aM8eB7RdptkELPAquYGFF8VtfDdm1eYXvv6XG2EiFC3MVllY17UBlO3X6++VMurS0ne5Y74Spr9dasvklvYxJ7s3ud/r1gsS1rN0P4leUJv3BaD9rd3O0vWxJLlHUGnD3bf3VvSGdqe7ugVypCNeJeP6c5DMPloDcr666TRcqm2jbD+w1o9r6l0++DGB9wKJvXWImU4wVmET0ZErWzhYnGmsV772zzf2Pd3jmdFpRjYyiLQQ6DzSTfC2g6Iohuhze+zxdaaL6ZIokDRqVQFmBlXkGRSBt+nWSnYdEZoUhmQ7XzANRI0GazPxmLIlKL4S80UJrSWwMcWyIVD4pN/08cZJuba43NfWmopk1N+TbItKB+oZOkLBcSzi/HBMS8s7bV9kxqQmjMZLITcfPuW4BrQTVZsjUfJFzs5pqvcNdN7YZH3JxNXSyhuJ0W63Mhpkr6k3N4moMNkSQlvStzQ1VfQaoNY6/Px3Y+c9fzuKsBbjsyZGu2zCfG5IBuv/ZBbdaq7+16smTHnvHRCbmoacKHDpVSPWVdNLGhj+BvddYZMUlcuVSL3ifTsllSjqvsK/Lx/Y67k02ZjpJNGHosH9Hh9uvT1m8nThYoQiEg+6XKkla3hGiV9nMYN1X7LG9LI7KpFJ2bLvAN6lb0dj0XOSMbrLzYnKgyz7ZInOrbcroeVU0UZLYpClEnQhiKbtpRZEP4owlzbZmsapZXLbUWzFBZLu7VePEEiUQhIZqyzJYMbzl5pib9rqEoWBq3lJrKKQw6C0Tae64Wpe41sFaHxMMMDUTcdm2mPHh9iXNqimz5LMsXjqTsLCSekwc3WOxnvywa0ro3QCyT5J0x4O9IsB7Bqa1BaEUzLIf2FkONl9d0gW3NKlU0f2Zkv6MSQpulQFcqQhXR5ycFfze18sEkQtFB0QWXIq+ZoNMBrx8RMQlCH+lLErG4GuXrebjo/syKlZmkiVthghjTdGT/MibW9z7nRLHZ1LplBhFRyicZO2+UBLb50bvv8zy9+nrLlKgMpdhemexKaAtSJvLEpuBuwd4KUhThDILOvvutimz5+Ois60e0hLnuzozgOfpzbzyPbMY8dJZg4mTbqNGPlw/X3illWDbmINrCjx9WBEnIe3IJzIeEoP+4PvvmmjVDv2LpZmHqTWKtDvpJrTBcsjIYJuCH6Y58L55gdZAbAz1TsQ3Dw6x3ChSdFOA9+vqfs+KVGuZWqkssFwjSXoGrn5Qr31d21Gu+n+WyZJ8NUq+lz0Fs+2+pmnBnLFTD7PugjuVKKGN+cKDJZ4/WUjbfUSan83b0lR3uu3L3YPd1+9mRHlZ9kKs+dpYiTWmz2WoMCa3oCrCjsPVu9q8684m//WTLm2jwThEQqZSxYBKsqozubtwLZNjLVZ1F3f3YoE+uZIztMlWscgue+e9pznABTKTKjJj9C4pmQwPSVrZTJQgzsgojacyQspkn+MYRgYCNkzWuecpxWqrSJSo7pSGfFyzFlBxoREITkyDlgnNQNCMO7zrrVf9i5uv2fPT+szZc4Nhp/mW1nKHSLRpRqmm6jQiVoMIpWOkMF2W0QpWGpIvPlri3FyF5UWfET/94Hljb7919c8iQ3oM/nJg52Bf2y1ju/IkNWr1Vc+660tykJvurh6VAVt1WbsHdNWVJxGOjjgxI/mjbxWz+St9LXV92ZN+38mlqcH+AFP0f9PP2P0pw76yfX+fZs+X0mtpM4kiURqbaN73uhZffKjA0WkHZIgVsitV8s8l81x4N5Ni+947ZWuytJ/N+zWlxahMR2eAlyY99mYNGa1l80Tmd/BXAHqOhSSLm5L0Dh8r0S0MOU7v3N2yP2Hn5irnFhb54iM+1Wa6nyi/RAXpFFzHSQcYSWlxAonfdHBF+y2LizODutYIqFcTnnne5fHjkpnltCJoEViRsnaSbzzrZgQk7bamqCTjZUvR641C618XrVR2ZV/C2j2Q95a29gNbiD6Qi1cAdt/Xsh/Y/eCW+SRW082i9NaapH6I3EjVkyZpYSeRMV95tMTRk7n2TpuhU3mSrUrpz5zAy7Inl8oSsZa41xL5y5i8J1XWrHXpgj2fn6K5bGfAXbe0OP1HPmGSjtxIhKItJCrJBtdzqUzpy7/TLf1greiCvJ/Bc10us1ThpUCX1iKN6DuXgkT2vld9wM+TAzLpz6JliQGd+lYEkmZH4zpldk5K9m1qc8flERB070QmmyeTz7G0Ir0TzCw5PPhMhbIfIWyA3jCecLptOTNbpKQ9do6laZw4yaPWbBVcpnsEKcDWDaWND91NCG7aBtbtopF9mwj6gd13dfcz9JqvRd5I2wNzD/y9bEl3o5o0PQZXPaBrlQM537a2toiTjkToL8tHOE7EmVnF//8LFTo5ewuNyoLLNc7BNa/9HpR+Jv/uOiUP9ugD1ZqKpr1kSGfuUTFp36aXxPydu5t8/qEipy+q7lyZWLi0u6tTXh5orqlq5vo7dxF2LzabZk2s7WpwY7JzZHqk0wN2CnTRbaHLfy67511005iXVEEl6IRslHL6t0eJoNl2KPhFPDdtaiZbgRMn6Ya6KE4HTsVxTsawc7JGO2kztxKh20FIvRWSmJj920uU/TS/2OpYWkFCp2Noh2lqMG+xkjJfi52PXOiNY+hlSfoDR3qv4uVg7jL2JZq23+fcBXm26FX2pen6JYqSuQe5T3+rvkyJvPTrHntrHVMPLb91T5mZBa8L7py9+wPLV5Qml2jwV2LvS1l7jWS5xL7a675Z2+1jss77xKQNERvGAn7qHQ1+5fdcapEGEWGFIhQahUCR+VP6gN29uDKN1NPddk1MkLOz6b9r9oE8z5iJLtDTiykHfn4eRYaF3N8tpUjvMCLHk0DFECkI43R9SyeQtFyD6zhd4rKk1fUwknQCSbMjaXWg3YFWAOVCwoYJqJQsiTBoY3w2jTt84E0dlLZEsUsSe6zUHVbqmlrdUG3GBKEhSTKzTHbV9Tpm+jpoukAWPe/4KwC7v8VKir4D1QfmLjv2HVzR3YXZJ0le9n0mTfpBvgbQ/RmTdO6eljHai/jcvR6/+ZkyQaLTFqZs/mG+1mPNRfcnAD1Hd3eU2nePM3vg7tfG3TEPfZmUl83OTuWKpyUffk+TE1Muv/OV3nQwIyQd0sH1Irk0F99Tsqx537VsLm1GKpaUzU3O1D2QJ31Nz2vBnR6rWOSJA5H9nmwxVx/59ckZHZJhyuIoiaN7MjUFOHQCQbUB1UZCtR6z2jSENiEylvh5hztv9tiwzkGn69sSLi4aphYhNHV+4PZlLt9R4sJ8kaPnigjp0gnSVA30BY39Oe2+hUVCrj3pa0Dd53br70Lp/d72/Tf6gJ6DvLt0ipcBO5+6lAM7BXuW68729+QSRcmkC26VVS1XVuHz3yqyGjqgHRBpalAJUnki++40l1YtM3Sv+f5Pou8+Fs8xtxZgvUbgrjel30LbzaikMiWONQNuwt2vb/HFR4osN/LRd5JEuLSN6GVT1oA8l0a5o7AnkXIt3s2M2DR9KAWZ3s5ZOwOu6Ttvpj91mm+i7jU7CEG2NrxnKb70AuhZN8gaJnoed2PSWeGLqyHHL0ScXxIMDna4+/YWYVTm5JSg6KeTEvRyzafRKFAPikgKVJsh5xZXcLwGESWmFjdQ0h7FguoD9tqCS39g1a2YdW/Vffss+xh6beWvb9QZa0HdXdMt82LAWmDnMzq6QM/0uMykiJJ94Famq7/XZE5khC7G3Pttn6cOFTDCAZUyoZCiy979bC0v+TteqT1NvMJXazInl0iVLrizzEZ3ZortM2BZmRmaUvaWRpEkDtok3Lg/4O3Xt/iDe52sVp6CPELTpsew+SfJ7xx5d33O3Mr2fDFSZMDO7ANr7qyGPsbOj4NdA9reeU7XPgr6Qd+LWXpHSYDoEWkeu3WXbmV6XgjYNNnh1EIDv2TZuqHJSMlnftGj4HYYKhtGywbtuzGrieH8gmDnpGXduOEzDw9SrZUYLSk0lp3roVwQuG7aKJCm3HqBYC9IEWtuc2tTZ2uB3r2a5drf9xdN8oMi85yzyrMq+ff5AljTA3uf/s6lShpI5substkdWWCpZLqK5PR5ye/dW2Ku4aQmGqEz9ha4eeFCmLXeby79Gy8t9nx3u6x4GejFmgxGb5aJ6LF5dxqtQhmTlfJTJp8oJfzo2xs8+qLH6YXMDCQiQKQg7waaa3M6tl+mIDIGTz+HFBnQszK8NJnPpf/ua3rHJPciIUS2enAtCeTSJQ/AhbjUo94znuXHLs/AadkbuVcqKjZOePzoWzoMDdSotjo8dLCCRrJ5ArRWdCKNXqzCci2d5bwaxJw563DsVIVBzwNHsnGdolyEwZLJaD9t7dIZoITIlyml1sV8Yn+evulZNntXuLwE1FxyIGTfv8k9Cj1W760P7FpV8+Ez+a5M2QfunMXX6O44a85IpUmQJPz6pwf4zsFixty6G1xqQTZ/JG9Jsy+TXP2y5GUmq+4t7ZUwLrrtgJdKlJflxPvYvLsot5tNMcRSo+KY264J+en31fmFX3cI4sy/SzqSOjCKPA/eNXvlNoFuy1qaAs3fX4osgyJ6jC4zUHcB+4qFrv5zS7cBpJ/h8/Y6+v7OfL99z9eU/rt8FIjnGHwvBdDMgse29aNUvAIbRlaptyJOT9cZLLQZG2hRGWih6y3Bah3OXTTMLDmYuMzlGxTrRlS6/bciGSobKqWEoh/je9mcPpXOoxMiBXcn1LQDTSeUxLHsrQC8lLEvAXPXCNT3O6ArT/Iu/BTsJt1J36fJ0709+c/6Wdt0ZYrsSpS4x9wqQskIx4t58GmXLz5cJAg0FPLCTrqmzxWssaH2ZEpvLMYrMfmlJfpLvr3Ei9LXwtbP4pfsDM1B/rLgs7suUFMoxNx9e5v7vtPm/qczLdmnvAMU3cBSpmA3CDS2exc20nZ1uBQvB7q45DgI8/K/PVf7l8rXNVjok3V5aroTWTrZhNkka3TPO8FcbfEdQ8FL90NFkaHV1swulVk36rF+qMPEQAyJYLgMhYJA336loV437ByG2SWfVqAouFAqQqVoGCiGlEsR5UJMwQ8peBGeG3Zv71JYoljTbBdZrJYxxk0LwrZPlvT5DNY0LXMpCOyaA9GTKz3WFt2FVC9n8d5C2L7dmV0Gj/sCyyz/7cRUG5Z7Hy1wfNZNS/J945uVoGuLlZdq8EslyZ+gv79bFmVN08EryZM10q/XEJECulf4MTLX42lTxJ51EW+/rcVTR11qgfz/2nvveMuuu7z7u9bafZ92+9zpTRppRqNeLKvZli2DsbENboDphAAJIW9ICD2ExAScEOzAC6HYGGQMtpEsuUuWZVm9jXoZzWg0vc+tp+663j/W3uece2dkC+IGeffnc+bWOfeUZ//2rzy/5zGC6lpAbhzsomL8U4K7rzYr6G/UGxps8dwLoGf5UIE9fAUbei2WvJdDL0AJ8vJ167cMi/+vNSSZptUVHGsJFqOMNC8KY6mwpSSwNNXCjbrazWh2DFX21Lzk8AmF54R045w9x2y2nlthasLHOnIK5ufg5FzO2umUqm8KMM/N8F0jqOm5MZ4TYVsx862UVpTw+B7JZx8IiBILW8IbLupx3rqAPJfFMGYYfCbCClmOjc/wZuvyZVgW6eWZQV5G7PLkKSP2IGXJh8TbB10TS6ZIafgmuc658QsBf35LBc2w+L4RhxyWa5bliXmGaG1yyUEBtRzqL5eDLwd62SocjupL9QSH1WjNtkwf5ENRXKmMn35rhz1HbP78FoskK9CYy+LvWUQmETQFpixEgEQRzYvlBClMNJdlsSkhL4dHetBbL+VDxOAtPINStznKAFG+puU0WxTtwhy47pI5rr9kAVumRKnmMw8GPLbbJ8ld9i56uEpSsQSBDYGbEzg5np1iSagEgskRwZoVkrERieU6FvWqYsPKlPHROXwvWaKi6jgJM03Brfdb9FK4fUeFZ/dVUJZDmliElqDqauIWxD2XqVHwnGzZeLw0S9KD7fx+ETV4E8vzvrygDi5ng3y/n5YUH5dG8BL0GcNi7YO2YGocCqSZWL54THHr3QHtlgXBIPcetAaHxXxepu+9vJAuAT10mf5aR98PdJCjLAO3ZukAaOBkXO5RlvaLZU6eJBaVMOat13W47T6PPUeHnkRe/hmLWEuyAlROwRq0tCYTJh9XouiFF+9DppemaqIAO0MpyjAVeLn2y3DnrK/xXnD2HWmc7i7eLLnh8iqbVikCL8Z1Yq7dFmPbLZ47AHfscOimFl/eEbK44NDOBU5cCKsqSRBLTnVhwwZN6Gksjcmbn9wDT98tmG8pHNvq69tprZlvWzyzy0MqY2s96gmqjqbiakJXUwsFU6M2vdgiToztoK0G1h+WNciJyxybJTmkiVCUQO9f1srL4VD0LkG9LIILOfgb5QmgChcCVRSUxn3A5OC9GO54yOMrT5RswUHvGGGmf33OCctAvSySn7artjz5/hrRe0kEhyEAD6UrZ+KpDPXJ++mKKPrjUpH2FK+7IOZ1V3Q59HmLKO+3OAYgl8ZCvashlQJba9ziypXpQttEl6+DKBYbhmYVy1KU/pWHZWa0Q67VJuJrIzunwMnNNcu2SmlAi5cOe3R7Po1qQugnBF6C78acNR1x0Tt72FbE269IWGgrcm3eMyHBsXPmmg5P7KwxVlfUqzbWeVvWLzz7Qnzbobna9z6xKydQiopnzs44hW4MSSZYN6FxlSawNb6T4zkQeJKKJ6mGitG6TejRX+p1nQzPTQr54bJrYbgEJbj7vo39S+xwKTbUNiw7KWLQFhRlKjL0+XBkXxrJsz64lUqRTsb9Ozx+769qZHmhKTGUnkiBkWIoc+9+3v8ykbt/GyScXy8H73PBlyN8yc9LivKw9HEJbGkEdYre+OCm0Lkx1nVUzi//aJNdh2zueUSSO0MPKC/+irDIhCRHkAhBIkw0t/tRfFBkqyJdUWIQ1ZfXIFqbu85yQVK6XRfCq7oIFHbhr+RamtQyDUpbGa3BTi/j5KwiyxyaHYtK4BB6KX6RMrtuimOlTI9oJmqqbygrhKbiJ2ycaNJrZ9hecJtXWb1gffhjf3XCdXjfSMj3bl9ls3pc4Tmmyd7u5hw4ntCJC/FNm77Vte9KAk8R+IpqIGlUoBZmhH5qzjgvJnCN3JlrF9p+dobnZESJpBsp0swmSSxkapFmZmJ2ensxX9IaLMErhqN43xSpjPDGL6b8virybqnMx4OnFH92a8j+Izb4sg9sCgOn4TdVloURL1dYin7QXgJ28TK59xmQviSC9y/xRaeD4Uv9cPQuuiyyAHsuyIWRVciERAhFmijWr0z46e9ts3efzYG5obBLOcnRgELnikwIciFIMa+Bo02L1C5fE11KU5T584CS22eVawPmJDOqwp0MehnEsSZPNJYDtm302sNMUMnyot9e+AJZIEVCmlv0IkmraxN6isDLC5CbLp6Smk7PYt9Rh1bH4NV3YXosoJPbnDjw9Pv2H37qhLV6zChBVWzBhknJSM1swFeDlF7a5k9v8fBsCD2B70g8z4Db9xSBJwk9QTUwbcR6mFINY6pBROhHBH5Exe/huz0s2ziSPf6EYuuGnC1rNK12QLPjFx0DAWX/XHNa1B6YHQ0+F0MRu/xciAGwS7BLYcCtZErqwF9/NuTTd/lob7mzW1Fclm8ieig9KaZvyzKRQb49/INXfujlX5yWuy5NS5Z+PfyxzMklUqsiuit0N+Ntr+ny/F6L93+oQSyKNXuh6TsTyxxEBkIZkwIkmRCkRbS2hGnE2Nqc+H1FYD3cXTJPvGQ/9nJYTASdXkLe7bJlXYetG2IeecHl8DGXruXSsR3aniTJNbnO+y9Anqdm7zJWdHqKti8IXIM331MEbk4lSJEy4rZHU3o9h5pv8vl6aGP5DikWAo21erKH6wgOncx4/kjGmlUx562PuP85wd1Pu7R6HlNVQT1UhL6J2L4nCTxB6GlCP6Pip1SClGoQUwliQr9Lo9rBsTscm0248XaXE80qB0+4PPOCw8YNKds3dHnz5T0u3mxMq9LhzZN+alDk0n2jowG4ZQncIv82IC9PijLCZwXwTXoilOarj3p85PMBvUyZd60YhJQ3CcvkFwYtyzOlJ2dKQ/6BGO9f2oezlIFc2VAOXqY1S9KWIa6KLIZAsgS8sRDxVcKPvanDg0+5fPlx39yvHLpe5Jl5/rLokRdAz4QkQ5IIQazBEsKo6WqztpdLjSVEn+U3XGSmuSDKEq457wRvvWKBbRsyzl6f8uQui8MnBCcWLT5ye4NDp6oksU+UK5I8J82N07HZ+83pRhmdnioCqiD0FFEgEQImRzvc8KoZvvq0x4PPVrhgXcL2lV2ePjTBqVbF7NweOeViK8HsYs6Il4Hu8L9u1Xzp0TouHmtHBaM1i0bVohIoQl8Q+DmhlxF4OaGXEvoJFT+hEvSohl1qlRb7j8fccp/N5+6Z4MmDVWLtoqShb868AA88lXL4+Cl++8d7hI7xTS975/0+thrugiztjvRt7PrALmRlRBnFNZTRXBiXsFZP8r4PVdl7xEFbmItgoAAAXf5JREFUChguLFW/BlNiELmXDqhMmD3TUGc4H++n4q8Q6UPapv1UBAZTxtOBPRzJl0V6TD0jpSyiuSRLJBtXpvz6TzZ58N/btLpDZ6HOBye5zooHXY4mZQF2RaolmVAkGhJhbFQcQEsNuWmW990mtEZpwcpGxM+8uc2bLrPp9AKkgldvy7DPj9HE3HD5MT597zy33jvCi0catAOHbqqJkpxektONBEGkCdwcv5fR9RRdTxElgjy3sFWFV52T8ert83zpsTZ37RhnvtlgIrQJHIESEiusrgZspv1ZVk/t4vOP2tz+4CiTFYtVY4LxukWjZlGvCKq+JvAzQi8n8FMC11S4oR9RDXr4XodTC11uvMPixi+PceBEnSj1CRzFiA2BVTgHS0hSG5dRjp2MGKupwlXAjNQRgxafZaVDIE+XdEZMhNZ9kJfxo/y8H9GVJs4k/+/NFZ7Y6RQ9kKE3EZN7iyLXXM436acpy0ErlmUlQ8MO8XLhfQjJwxPMPtD74B5KX7T5K0s5KsuBPaSMJZbqHEohIc+5cEvMz31/mw/8XYU4K6K4kCxRm+8/ETn4KBUIs7mfaYuekMaypqyXiuKzL1YvwVE59ZpD3FvJS4fN4oxdmOm6ToprJ5yzqstZ74x492uO8jdfXuQT945yfL5KK7Kox1BzcypRTuAIfNdMMAM/oxspepEiil060SirJj2+59IFLBb57H0Vzt0wxYbpOlGSYq0/582EYcgzzz7Dx246weyizfZVislRi5GqolGVVENNLSgKSD8lcFMCL6bixwR+D9vuMt/u8deftbj1nhGe3d8gswIqjmQ80IR2jm9rPNsoXfmOIHBhRT1k35EqaRpR8RM8N+mvrKkiNbHKAY2VFNTXtD+VlDIb8BmGJ2clv6P8lgdffdDlL/8+YLFTpiZiELnEoAdStgX7+fZQSnJaIcmZvliK6SXdlaX4PsMxKCxB9Kmsug94sYR12Ac1Z+qTD/fLTRFaD3J+8h1tHnvO5o4HPPBLEsiZHkrxyIVEi4K0pSxQNlraxNpCYyivShQdEgy4fRtCL2fluMPxkyHPoQn9FN9N8ZwM10nxnJRW1yXwYtZM9PiNH+7wjtcc4uZ7Qj511yiHF0JOdWwaLtRc05L23Yywm9NyM1odRbOjmGspTs1XWTHmsXV1TOW6HtsvvoBNm8+n121hJbmFFhazHcWJRYuzplymJxQjNUEtzE1e7acEfkLoJVSDGM+LUDJCyohjcyn3Pq34s8+PsutQFSkDwlBScyC0M3wbPFvjOeDZZrUt8ASVwKJRtclzTRQrXDvDsU0EKfPvPqCtBEumuG6MUinHFzW7XlK0IweploJHa43n5Jy/JWWkaqL3C3tt/uQTAXtmlEmwl4O76H2XHZN+52RZh2B5YbkU319jrPMKis8lcspLuCmDqG2+HqgbnJaLl+N9Cg0TLdGUhadAp5qNYzk/+64OB45Ldu83xlAjNc32LQmus+ySAggpaEeK3Xtcji+65FmG0aVwSYVNT4h+AdpvAyqNZxt67uwiSGkygMBTBG6G51i4boYX2cZjx3XxXJ/NK7r8ynu6vOvag/zZ5yvc/VSVE7MhM5GDhyR0JFVPU/U0oWsyiYqfciJQHJuxWDmhmGi0GW/k+L4yKcpIxYiIb5yEN1wIq1fkjNUjqmFC4CaGe+LGeE5Mu5dxdCbHD2JeOCR59HmXB3aO8PTuGkI51AMjuBnYeknE9mwzpXId04kJfEUlsKgEpm8+HDRKUpUa0gf0nAjbjTm5kPPkLou/+WLIZx8MmG+WZKISIYZ2V/Uy3vP6Lm9+XY+10xn/88MVbv2Kiy7Lf4bC8aABWETwoSHOMlAvGfCUQe7rAPlMkXr594bBvPT3RP+7SwY+JbiXfW84csOgI0XxszwHZeW87bVdmj3BH3w4ZO10xptf1+M91/eoeTl5Rv//AwilmW8JPvegy41fDHl6l8/xOQ/t5GihiYVDLzP7qvmy55CmmnYnw1JGmSuKJT1X4rsKL8pxHQvPyeg6Nq7r0u66+F7Auske7/+pHk/tOcFDL1g88rzHiwdDLN/i0CmXAwuK0BYEtsBzwHcyar5g/IiiEVYYXRtSn7BptV2skZrG863jqyfTL112gXzDzv0n2XVc4doxoijqymXdnQctbnvEx7KNf+binIftKibrENo5gZUZsU1bF87BZl/TtQWuI/EcieeaLkzFF4RebpZJrcGSglKDPUnLSvDcCCEidh2BP/ibOp+7P+TYSQ/tKnDV0AgtM7c8pRkl/PlNIXc+6vBDb+py9LhEp8JURUOX30GH2xz9FuDw6P0MQB9G9Bk7KGcYZL6ievN0hC8Z5feB18/Py89F8Tv0o7seAvbwmadzw0iYnsp42xt6/NCbupy1LiHvQpIo8swi14o8L056kRM6GT90Q8L1F83x2fs7fOBv6rx0KieKIXckPWHj5gIvx9iW5IY4FSWabi8zKg3aIskEcaKIEoln57iOxHWUAXovw3FsvK5Hs+3jOgmbV8Wcv6nH26+KaHY7OE7OFx/22HnQwVYKpQwRC6HwleTkKc2pziTH5/SXtgn3eCfqYI1OnMNnP/fx/Y7j/tGhmTVvuO+JNjsPBcy3MnppKbIy2CjRSKQ0RJcNExrPynALFVnHAscShYOwKBaSJa5tSOquI/FcSeBC6GsCL8dzSn+crBDALHS5rdSAW0Xc+EWHT9xR5Z6nqkS4UHGGBjMFMHQGOoE0Aq1xvIQLN6e89TURq1ZkPHfA4sgpAa5eiqbislECe3kxuTSCDwF3OC8/Q9vw9GD+cnnKIEr3o/ny4nMY8wWIB/3yAeD7CoTDEXzZ35QOHD6m+ORnfXbstNh+dsLayQSVSdLUMTu5uWUArk2/XMocFWeM1xJ+9Ltj1q+e5ZN3RPz15zVxLAuxIYWXabxMGBWG1AC8E+UImRV0WLMFHyWCnq3wHIlj57iOxrEVrm3hWDmu4+DYGYutFMepELgpo5UUJTLefU1/c7WoTYwu5nzT4rGdOSpcwWQj+qPHHv3y/jd/z7uMR48tDYEydDOu3iZYM6bYfVDRKXxOspKInkKm875WiaWMFbatBLZdgFsZgJdb9o4lcRyJY5kUxXM1vguBlxN4ZjLlOimOYypsxzZmq77bQ6qIj3zB5b/85ShHToYQ+GDZWNII0JftvBxIc0WcWWaBIE6YHs/48e9vc/H2iHPWx2Sp4Hf+ssKhU7IYcpyOswEwT5dC7oP6lUbjM4Ztfdo3B6fbUDoy/LPhiebQ/Q7y7aEIPgzy5Q+l2Ig6eMzidz5S5WNfCOg0JR++SXPJOTHrRgS9zCZOPJLUJsuM5khJlVAyI0kTHNvm9Rf12LZmEYnmI18QxLGkK3zc1PTJbQV2Yja/ZDGN1hryTA/UZG2zOW9bqrBRl8Zt2spxCqD37R1VhlKmI5ZnspBRLqgdWtCJJLsOWTy1t8f2rRbjnZReZCpnC2Bq5VZc1yeOU04eP4DraEaqkvHCGTjX0OvltLoZvcQMZJQ0KlZGGrkQ/CmlIyzZ94Yvge+UqYuji5ZPVgC8qKxto+bq2jG+10OqHjfe5vBfPjLKkdkaVHykZeNLia90YR9iXkANxBnMJ5J2ZtOo5/z8Dy5y7fkxeVPgS82PvbXNY7st/vpWm1gvgUsfi0umlJzeORkOxP+g1OMVHmfKzYd74EuZhuX3RP//nuFpDU4BoYk1fP5ej7+6JaSLgorg7icC/vBjKb/6wx0sadOLXHqxS1pYaZcFv6Uy7ELdNssUk40uv/FjTTItuPE2SRxLWtLDTkv1r4GqAuTkWpPluYnitsa2BVEssW2DmTJIllv0xsd0YDVT7uP2YkmzbdGJzM6qbRlls24vI3Rg66ZVXHLhNjqd7gDgyl3FOVtW3PHAA3f93pqV0X/sRG3chQlWTljUQ+NKtu+ooHs0p2IVMshFdLYs0fd/t/p22aWVdkG+UubBurbGcUxa4rsZnpviF4Ws5xreue/1UKrLjbfb/KcPj3FsvgaBj2PZVCwIC2F9Rw7svoUwVxknkpxMBD/9vYv85PdGuMIhjkGKDM9L+Vdv63DHAz77TlgDTucZo90Zu39nJgwOpy5CF6fJELa+xhnwtX58hnR8qC++7Hv9lEYs/f5QcSyF5shJiz++JaSrC+qeULRywV98ymaiDv/iLZJWJ6Ddc8lyYwVetmuN+5zCsVKz1a8lk/UOv/2TTUDw0duNIP2CcIbAXRbIhXBmBkma4SS5AbbKseyB5MggUJYygLof4UuHDtAcnUk4cNQIB9VDi9WTsNhrMtez6XZO/t7atVvuIDkKgAL4kz/6fVQgksVOtPnoifzNrZbFptU2W9bFnLWmyfTkHLsOR+ze7zJWEwS+RcW3CHyLMBiM8INihB944Hvgu0bWzfc0vltEbi8ncDN8r+iLukmxKWRG/Lbd4RNfkfzGh8Y4Nt8AL8S3LRo21BxNpejQ+A74jiZwMDm9Z4rasfGEf/3WRabrDlHioLUZPwutmRxJOXhS8fhOl6yfwxfb88V6Wmno1Pe8kQNO+LDSrZGPEEs+XyJFp0rRI8mwuOhACGkgp3H6/Q4EkIaVvfrqXku+X/5ssMkkh7jwspgjpCLnxi+G/O2XKuTKAeWC8hC2T0zATNvl/PWSXneExZZLFCuSVBVKU6oQAzU99eGabKSSc8XWDsfnc154yaanzUBIMXDBHr7ymEhOEc01aWLSX6P5bW5RookTiBJBkhjp7iw3jdiVExEHZ+b48tNwfNYYNMSJYKwm2bjawXfjv3lsx5cfuPiytw0iOMD3veUtOI7HM0/ezWNPPkqt0SbWXXYdT/j0fRVOnfQZCzWBZ5x3fU/hOYZh2FduLbVK+oL0Azk1czZmJrdycjwnMTc3wXcjAq+LlB0++RXBf/zfY5xs1RF+QGBb1K1iWGRpvNJ+2wK3SH3K/D7wFNvPltT9SU7ORXhOjGPHaNsUS66T8ertER++KSfSZ4jeQ12TMpJTRKFXOnb/R/FQloXoM0Xv5Z/r034olubjevBIhNBEwH1PuWSxbSYxykNYLr6S1GxNZ6HOx2+rc/4mj0oAnpPj2obT79o5TiZJrVKXRZqJaQH0sarm/T+zQK4lf3+XoB1XCmgZSm8J7DQ3ut5W36tJ9xcfpFoq0qqKaG5bpjkRxGZKO9+yueo8i42rZ7j1AYdOz2YhktR6KZvPupJrrr6OXq8HvG8pwFdP1QmCgOeftXh2b8YT+2H/8ZBWy2eqqlg1IpgatRipWdRCSeibgYpjG5uQgRHqsCnTQK+kbyNiZWao46R4jlmF89weYdjmjkc0v/KnY5xsDsDdsIyRVQluzzY23K5l2o+eI/BcQeibx1bxMk7OVcybULzJsiBc6UxRCzS1SsZi8/QcfEmeXbQmTv/+t+gYGvz0v17CxmJo4FN+T5z5joRmsSVpdkpDJBuUjacko45mxM0Yr2q6XYvDJ2C0rqgEksDN8RxB4ua4uSCz5WBljkFBK4Sm7rf5vX85x8l5wZceErSFAbkuQJ7pQu8yKzXby6vVkMLZkHCUVYDcKd7nnmeuKFrYaN1g/bjDf/2RRZq9OfYfs1lsuoQVH2lPovJO/9n3Ad6JK6Sismd6YvSl77oy3Pjk7hbdxQrnjEnqVUmjomhUFY2qodKGvuF2O/0edrkdv3SnElHuTOq+sqttGy6C60S4To9KpcORxYQbvzTKiYU6IggIbJuGpak65Zi/mIgWKraebYDtOYZCaQZH5rIYJ4pebGPbhaimZWHliixRvPr8mMsvijl6V0A2HBtfbgy/LJwuaQl+swG/BLjLWolDD3xJgamXPmQhTCb20BMO9z/loAvNFykUvtIE/asi5LlpJCirMJ7KJGlG3/Qgz7JCn7IcIoklD7VRbfMjb2iyc5fNvjlBOwjItUWqjatDYmnsjL79eH8lceixmvfBiAlZwtiuezb4bk4nyunFik7XYnahxkgtpFHtse9oh71Hqlw11nhpxZi3Z7GZng7wldMrePyRm79UCZ2PNaOpX89iwSVnuQWABBVfUwsz6pWUWhgzUosJvRhLZQipjcpnIpdEFa1FHySlApXxx0lx7BjXiahU2hyZT3nfRxp86p4xtB/iWzYNW1O1c4L+mN+8EW4xFTWLFwrPVQSeMnx115i+Go0NQZ4NLeQW2n7K03ju8Cvax/eyhYXlINac/tm371iaohTNTVFGVTF0Ipj3oxcJ8nLDXhjlX7sUL5XmUpUWtiDdXoaSVvF/S7vvpRIWZ+rYSDRvu7pNqzPH73wE9s1qun5oQJ6b/rhTWNrIodc+Z9AxyrUgSgVJasBvKzP2GKtq6t2EVidjsa2YmTcDQ98NcC3NheeOUan6H/vCnV/90tvf/ObTAQ7QjcZQlv+FxW7wlkbdu+CizSmBZ84az8kZqUZMjXXw3RYHT6XMzpoppNCatVM5K6ckva5NkprVqTQ162g6L1KFYkrpWAm2FVOpdDg8l/JfPtTgb++YILYqBLbNyDJwlxHcjPulGf275WRU4rsC18VU24VshHnvh8bVeig3PS3EDQY9y3Pt/qCHQebyrcxUhnFcPmxRBI1+0B4a1ZfAHozrlz2Z4glJtFFIKb7Oc5Mjx4kx+lUyQxQaKqawHJa0OPNJXr6GP/iGNkrN8l8+BPtmoBcEpNomyiV+biSowXjTJrmR59Zak2WatJcyMtJjzXQMmBlLL7J49phPxbaYrmvGKgmOndKNDWnvorMF6yryyfFa/Qtp0lnymJYA/NVXX8d//M3/er9G7Fg5nlxwcLZN3bPZMJ0zPd5EqkUe3pXy9H6bHbuqzC0YWdsk15y3qcXFG1tcvb3L2asz4lhR8W3i1CFObEP4EYZj4lgxYdjl8FzKb3+4zsfvGKcnK/iOidwVZym43RLctux/9BxZRHCJ61LwXkyeX24DiWE0FtRZnZtL7vIxzmA1TS9NUb5V6cjLgPplgS7O/MvDPJThotMy8rBDFe2ApVguB6cpJGlOlFB4kRo24YBINqwPcfqJU/5FKTXvvr4Depbf/rBg/wykfkBb20TanDa5NosNZBG2HZHGGeeuiXjN9i7bNqRs26BIUxvLyplpah7dZfHsPo/HdtWYaTusGdGsmc4J/B4nWxU2JfmOl3bddv8P/8RvvTzAAV53xThKCT5/10mOnnC45GyXqdFZTjRn+eCnQp7bN0oSmerbVQKhoN0T3HRXlU/ftcjalRFjDU2a5vzkdy/y/Ve3kdInSexiYJAQBF0Ozyb89l/U+bs7xwy4PcuAe1la4hZ7oP3IXYz8XUcVUbz4PUcXI/+B8P1AcMiAXdk5Dz1t8/CTDlnZbyt44GfifL+SqeU3DPdn+GMve99LcvPBBHMJTZYhqmwmufyCmEvPi7n3qRxtG2PWTJfGswxMflOwUo2VZEPqv3Lo0iaXPoahB9UXbhIQonnP69sINct//gvB/lnIPZ+YQhgqy3DzRd5x7Sw/+sYOSSqYaGRsXKnJ0jonZsdodVwsmbNhPGbLdI/e1V2eO9DiAzeNcGiuxvaNFtvPtsDSLCSrOBPv9zSAn3/RG1HKil862OPc1c+zZnqWm+6PePC5MXbvD5kIJSN1QT2Eim8KvGqQsWN/ky894fLMgTruYXPGHzxZw7GOccNFonjiOa6bMtdM+e83VvjYHaPEKsRxbWoWg7RkqKDsg7ogbPVvtixycgouQzHWtUrDqWExIHND5Ow95nBqzhqU68KsqQ144KdzS84EsCUDljPxRoanMC93Ty8z+h+WohiWtzvjvfSXHs7MKtTFBv74iGbDdMJ9T2bo3EhhJ7kk1cKsieVDrh6JJu731EuJ42FCsBw8zuWvmShJajlVmfMDr+/QjWb5zx9WnGhb4Frowq3uTVe0+dUfzBmv14HcpK5OxJ1P2zzxfIPQswk8TTXMaVRSRqoRF61v8Svv7nD/zphHn64zsyh5/dXreeMNb4zzLPv6AA+rU1Qr/i+NTq0894WdT1z38Y8rou4orlJcvE5QC4xMRDVU1CswVs/ZuKrDxg2zPLZvAlsrJoOc0NVEeY29hxWzm9r4boxyM5RIeXyX4vaHa8R5iApcahZUyqWIZQWlU9BsXbvgtJQR3AXXAc8pJqR2QdoqrbmHlGSlzLBVSrut+YvPhLRyC6yBFooQZntcvgywh1txp+WfYvj7ZwjBX6ciXf7jM4L4FRFgSqbh0m2e0tMnsCQ/9ZY2N99TpZWkZDon0ZIkM44JSWbs2i2liQtbmKWimqoAeBGskEs5OqJM7wYrg1LmNOyMGy6PuPW+Drc/GgJQtaBmC9aMN5hfHGFm3iLwYhqVLkLN84m7LV7al7FpSjNSU9TC8ubSqAbUw5jvvrjHNecu8NRel7PPnvzq6lWrf6lXjOe/JsBr1YDP3f7Fpu9Wd+07NH312VNtVQ8Nl9eyBNVAUKvASCVnYjRicqRNpTLDh+5w0LHP2vGM0RAaFcmKMYuVtRqzC4KxRgvfi4gzzYNPe+w5FCLqDqElqNiawDLtIM8atALdPrjNxz64bYFrmaLSqN3q4jbsVjx0UymWnXBoVnBszkaLYQVZgS0obD6Wkq2WAnEgq3ZaBD3tTHhliYv4Gl8v4cQMffNlOt3LVGlLIaBSfdbIQkw1MqbqMa1jCVgpUaboKYGba5yMAuQDg105JM0hyny8H82hr31drgdigRhMWJXMaLYzNqyKuXJ7l7ufTIk0VC3Nyopm9mSFe59wWTmRM1KNiWOLNStSrtre5e4nujS7LitqGRN1Qa2iqIUWlcDGsSyixKUahJy71slct7Hr8R2fa1586ZtPe22sM7xeRY7U/Lk3XeVcdujIiQsPn/QZrQeM1GC8kTBejxirdxCqze4jEV+9y+G+JyfYNK6ZrMFoTTJat5kas3CdlCRT5LlAyYxTC5odL/ngeLiWRdWC0Nb4TrEg4ZjI7ZU88jJyO6pIT4T5HUfjOnnxsRge2blhJVqGemsX6222laCtlD/5dJUjxz3DGS0UZI3A5lK9j+URc7iDshzYXzNA69Nf2ZcH+5kmqy9zVpx29pXdEwNuUWiklKKcIrdIUpvVkz1+9q1NfvmPPdI0JpEWnczCS4Vp36X03eqkFAwWuJeU4wVCSj3GEviD+qUvt1c0FdKey8UbU1bUI/Yt5n3LySjJOXYqQ2MRJZ7RUASu3TrP/FtPcvczIXsOVjg8bzNR0YxVM8bqipGqohK22Xk45XBz8unKROfnJkbDM76uZwT4m254IzfdcmOWWev1roPHiSLF1u0xG1b2qIRthOxw4FTCLfe53P/sGM3FkPWjmok6jFQVI1Wb0bpitGp28QxRJ0OKlLset7l9Rw3Lc6kWqYln6T6n3F0SuWVxU4M83C7BbVIT1x6MlEupONs2Vtx20Y70vYjP3OfwufsrdLULlgG4KrfDy3GxWL4CwRDvelm0PC2EnqFtdxrGT4/uZ8q/l7AYh4wBhvoi/dKy/7jKDfwC3FkOIlOUSgOJyPGdjDe9usdXn2rymfvMNLMnFR0psNNyK14wrORV0l3NYylrKVl8bjiYS4RI+xG8XF7JaXVSrr94gWsvbnPoKyPEmUWcGRuS+VaKsgRaGzWrLBOkmeJd1yxyw6VN7n22zS33VTl8wuNk26Y+r1k/JbhqhU29Ltm8ZY3WOskuuex7XjnAAc4///VkaffjVbH/bKUPhCcWUk52unx1Z87OgxZPv1jn1KzPZFWwYZWmXhHUQkW9YtOoSkZrmkY1pRIkBG6M78UcmU3569uqJGlI1ZdUbV2M4AcFZRm5naHI7SyJ3CXtNl/Glxjik9spjm3AHQQRR+dz/tcnR9i1N4TAAWWjpMST4MmCmbgsBx/iCfVBmzPotJ22Ljb8y2cE8MulLktX9s4E/OHhU6m0O/xLw5zyvJBJXn4IoYnSnHPXZfybdzR59DmPo3MWqVS0pIOdSqy+7uOACDaQzdAg8uLPDl4hE8sHRac5MRRS2IVfaU7Hcgh8lx+5ocV9T7c4sujSigXNbo5jZUhpiuQ0U8SpQy+SLLZtJkcDvufSFpef3eKJl1rsPGjz/D6fWCg+ebfH1k2r2+9596s/Hobey8HYsAnPdPzhB3+f//arlz02Nur85F2PvFD/mzt87nvG44GnKxw4XGXUc9g4AStHBWN1xWjNZqRuM1pTjNY0I9WUkVpMo9qjUe3QqC5yx6PwF5+bQDgVRlxB3dWErpHc8vrTSdHf/DEtQVVMLsFzTdT2XMODcZ0czzVSz+WmtuskuE6CZ0dUwh4z7YQ/+LsKn32gQSQCsHyUUgQKAmWitz3EHjyT7/zpou/0iUFyCRNwqXtz/yYEQg47PS9lERo7mNKefGCfqEqrcqWXsAf7irrLT8o+4MXQ+TTo7IvixBxvGA7+07ttWh2LzDLEKFWIji7VfRFLTrD+iVjm4f1WT+naIJa8frL/usKqyYin9mqefTFEKxtX6uLUyM2qWwZJKogSRS+2aHZc5lsBtgrYtlZxwYaMCzblXHJ2yrGFnPHVlx17ctfCD7/h2suSl8Pxy0ZwgPnkYprRIt3oBS7b3OHxXRbrG4rJEUHgyv5ksVS6qvhQDTKqoRnn1ysR9UqXWtji0V0JH7h5jG5WZTQQ1JyBlEQ/cjvLWoGOMvm4O+iWeI7GszM8J+9LELiF1oZT6G2USxOzzZjf/9uAP791hMUsANfHsiwCqQkUuKUVeGm3IQx5cOl0cCDhlxcGUaoImwNp4zOkLS8fqF++NVgWt8tabuY/DIT/h0/CcoBF+Zi1KfxMNJfkMu9vvpSPIfThp9/eRVgz/I+/kRxvKzrCQwkD8tIVTfRnCEU7qB/BSxqAGirHh3JxoTEyeEO+Sd2MUTfmF97e5ODxUzyyewpHKbPtgybNMpJE04tz2l3FYlsWjFWF5ziEfsjUSIxUMY/slKybCHnLDVuoVGv85s+//Mv+NQEesyGaa+76mcmJtZ+cWXgqDDzJhimPyTFDlaXY7HEdoz5kRIFMWlLxI6phl3qlhe02+eiXqjz70ihhxaZu60Fh2Y/aAq+YVHqOybu9Ii3x+gWoSUs8t0hPHJN3u85ATMZxDMcl8Ht89WnJjbc3WIwrEPjYlqKiNIHSeIrCZ8jk3WV2UYquDj43XPIS5MNWe6eNrfs6JsuxfYb0ZDgaDoF8sLk/oOkuMezqeyPl/YguCsJS/2RDkAEig0zmqELlalhaolrRvPcNPb788CJffMgiU4IWHpYQSCELbcfSflAPzv6hYcoQtIf65LL/eEqrR0OJzVlshmzfkPLe18+x43mPk52Gyb3znDjN6SUZ7cjsC3iuxLMNlx5hrvAzoy7rVyckecT6tee0JxvWz0yvWRl9LQx/TYAHzqn8gm1rH6mG1y3e99iecP2UzZXbU1ZOLqC14PhMlSwXBG5mBIG8FN+N8byE0OtRCdpYbos//rTPrfdN4QY+o66m6ub4Trm0MEhPXFcUKYkqiswC3EXHxLMNuE33xIDac4u0pGAneo7hlj+2W/A7N45yomnA7Vo2FUsTKm02gspUoHiXcm309LRmIPULRtnM9JX6Rky5NrndmXLxMlov1zc507H0kj9ATQmQYW6MHIrgUgz5gpYUBMoTT5olhWLKWaq2ZvmA6grQamtGQ82v/nCTY/MWT+yRpEKyKJzC01JiSLGlM1t5kmrQ+bITW7EU7ibzFcP0aekiZc58K+ctVy6y+8AJ/uRWOJXX6aUWjVgQdvNigSUndHN819imHFkwQv9rRi2EsFkzAVdfdfViUF/3yPETczlf4/iaAJ+anEQI51Sc6Hdcf/Uld3Xn7rZjEfG3dzmMeAHnroOV4xEjtS6BF+E6sdmrdBJcr8vDz2X8yadr3PHEJHFWYdw3KkWhY9SthsWAvCIlMZckQ54qwd0HeFlYOqnRH++nJCluEbl9r8uz+zX/zwdHeODZBngBjmVTs8w2kAG37rPaRHHlLl29Ul14wxfvniUNYsuIZGyt9cuC9+u2Dl8O7GcAvxhKR4bd5IYtEqXMh6K36X8n6VKtR0vl2EsWFQZ/87KtbT7w83P8/Ackz+yXxEKwgF2MccxKt+jPAAqQa+PuU96HLlKlUu7N9MpVcfVRQ850RhS1Fub8u/e0uXTrEf73rV0eemaUduxgW5Kw8AGrujAWaqbHFG+8HGrVRR58TvDA8xbv/p4rkzzL3lGv1U65nv81X9evCXApXZLoRS65aPVh32u+9ME/fWJLazHGczyCmsXESJfRxhyW3eTh3TnP7JGsXxEzWot54YDi5vsbPL13FM/3GfMEDTen4pTra8KA3C0nk4b66g0VlKdH7gzPNuB2i4LScwa88sDt8vTenH/7gQYPPt8g9wIc26REVasQIyq2gWyl++KyWpsBR5QKeqmkl9O363CKtEMCKtfkonAtkGWaMsjD/095tMvbbf3C9jTjrWFD27wgkQmksIiT0mlDmcdd8PDTLDO8bj08xjJ8/Su2dfh/f3GGn/+A4Km9khjBgrBLFAB5f9BlCFol4PNCHHS4LzpY3RYFDWLwnHSf/10N4XuvbLF55UlufaDJs/s9RmqSdSvg8Rd9nnkh5HjbQSnBmo7NipExbriohxcIxqfPfqmZnXX4wccPcuXFa//xAAewLMk9X92xv1Kp/Yt3vnH73fv23I+lPFZOtmjF83z0zoxHdzU4fMrl2DGFsmNsp8fMnIXwArzAZdTFgNs1DlmBKwzAXdMtMcBWBeCHI3c+aAe6JbgHRaXrJrh2ZHLuoMuLB1N+8YMNHni+Tu4G2JZjeu0FuH3L3K9T7NzaythoAEQJJDrnaDdnpiURpUi7MpdlKUDlhVRw4Q4Mp/e8z6Rr8nUJW8s6IX36VLEw0o/kS/rLGY6VFksdGbadsdB0ac95LLYdokgh+uuCOY4t+2lKOZeVDO778nPbfOAXZvjZ/yHZeUDQE2WqYSK51vmQtYpm2O7QAJ0BpXaJPoFcVjQP+vs6F5y1usNv/miXk/M9HOXgWB77jvY4PNPl0d0W9z9V5eGdIYdO2vQywfVXXco6zb84eeDe/SPTF37doPF1AS7URtqdDoHvH73/AXlPL33xmos2HOHQXI8/urnCzFxAw5dsbAg2j8PhRdh1RELg4No2IwW4w2XgDtySy11EblcU7UJdFJK66JIU3ZIS1H2Ax7hOgmNHBH6HXPb4o1trPPhMndwLUZZHxTJj4aAEeH8jaKnqlm0ZueFr185xor3APTssHttboWf75LaNoBB8z3Vhlrosx+5TVUsaKkOR7uUD+3Drbfibw0DvayWWbnLF8MQotRrlL8/t8eQ+wR2PWszOKjZNucbjsxDVcW0TwfN86ZVmuFMjRc4V2zr8m7fN8e//l5Fl6OKTY5FjcvucvFh60MbhTQ9qEl3m5f0nu1yEgyGgFydueR3IJYGd8ML+BsdnprCUouInvPnSLlds6fBHN+fsPOjxxssbXH3F2fdsP//VR6Oog+eFfL1Dfd3fAH7nfe/jbW9786zv15rVoPOuF/bs5MuPNpis1Lhoo2JqxGLNpMWV52VcdPYpduzWdKKQhidoODnVQh009ASBK4rte9MGMjdDXPdd46bsubnRhC6EgbzC78dzy1533Lc2DPwuqIgPfy7gLz83ynxaQTg+FUtQd0y3Jui3FwdFrbFgkVR8IwK6ckJxxdaEGy5pcfWFc5yYi3jpiEWqbYRQxbZ90ZcWLOtli/7Wfblpr4Z64CW3uvxeuak/3P+2iq9Njl38LVXsLyrj92lZJaEs7YPbsjt8aYfg1/98ktt3jBO1HDx74NmDXjr77Pe1i571cL/bAlZPRrTjjKd3SdJMkApJgvHwEXpogWLZCT58Ipuh13L5pOGiupwFmCuj52TMthM+eNMIz79Up9uzOTbj8vzegKgXcs7alNlWxPnbL+PcTev//cED++9dvWbDK4Hu14/g5bF2zVqq1cYjz6azt8w9OfO2c1btR9o9otimUXVYPZWxdUOT+3cmdJIKgS2pWHlfiNN3BYFjInfgSTzXKqK4kZnw3KJt6A563N6wKJBjJpSubTblHScmDLpkxHz4sz7/9SNjnFioInwfX0mqlllUdq1ypE+foVhuAfmuRegrahXJWD03ojdRje0bYn7zJxd54ZDDC4cdYqWIcnC12XzJ5ctF8FeYhp/WMVz6v8re90DQf0iYvzC7tayUwIvYezTjtz80wTOHJlgzqgicjLnFFCGMSLzW0qRTxePs9877/qMDe0chclaM5vz6j7QBzYc/o+l1cmLfZ0HbJLmkmmvSPDcc8ty4sZVSEHluFkryvExjFFqrfkJUPnUzxMqxLRtL5fQiB0fF5DLhkV0xnY7FynELx02YPdQjy3ze9tqz2LLt7FumVmx+JGwvvFLYvrIIDvD+9/8Pvuf7fm4Bd+sDK8KnNqfpsS07duaEnsOmVZot6+Z45sAif/rZGr1OiJKiqIZ1IbQpCH1J4EsCzyoMrAy4jYxboZniZcXN6JCXmim+F+M7Ea5rety+32G2mfIXnwt5/0dHOb5QBc/HtSzq9kA/xSuA7ZUGWn1wq0LXpdA/DzMqQVpolGesHI9Ap3xpR4hWDpaShZpW4e04FImXRHC5VB+llEB4uQiu1EB7xSxmDzwkldL9m1VEcLvYaXWdGNfu8t8/7vPFh8dwAp8JPyd0jOrAko2ckgG4ZCor+t6j5cRRCLPL2qhoLj2nR5anvHhY0G2bNCRBEGlJli91fRvWMC97dsNy0OViRtkvN6lWIbPsZEglyFKfTStj9p7MeeGAjatgchTWr+xxYMbG8tZ+5l1vf8u/cdzjB6q11a8Y4K84ggO86uKVPPnk/QfCVZc/88zu1ls2rnyRXpoyMZrw7KE2f/bpGiFV3np5xoFmjxf32ViKwnKwBHgB7mFBoFLpysvwi9625xiwldomnhvjuxG2FTHbTvnr2x0+e0+dB5+tMhebKaWtrP4gx7WM+Kxr6b4oqGMPCYI6RvzRLwZJjm1ab7qwN5QoLtwcI2SCznMyrc54SS7z7cGluFSBLY+vT59dIrI/PM1kePDDacVmrjMef9Ghh81IwVzNcrOwEMU5PTvDsgRKyYHeiJTIIt2SSvVH/6ow7RJCI7qasSr8yo91eN0VEZ++O+Smu2rMNAMSy2XBcejlFtVMU8mNJFuWC7Jck+VGxSrPTeGZldFcq2LKKpFSYVuaii9J84yHnoMTM+Ns25DzL988wx9/psnxE3XOJuW5vRaXbVvLFa+69JkdOx49cOmlr/qHQPYfBnCARKylGa/6ve9+7WMbb/li5d29mZhHd0Xcem/AiF/lwnMc3nDFIk8dXuTQkQaOZVHxRKGAZRuQexB4um9L4Tkm1/Y9A2zfLQFdTCW9Lmke89w+za7DFn94c42dez2aXZdMuuB4SGXjqcImxdI4lsa2SoNRA2zbEkuUbp2SdltIg5UCj+UWTJ6DyHO0yvuTzeXdEqDUBjo9Dx3+3dNQ/bXQfvosdJBJF3uPmJ6yKIqBYgRj/CkzTZIaxac4zgtpNBPVlZKoVGMphUp0YTmSo5TV79AkSU5XGNWw118Uc+U5C/zIG9v84U0VXjjssfNAhV7HJ3I8OpmingmqWW5SlsykLHkOWZ4VylgG6LlWaBRCSCylqFcU3Ri+9Jhg10uShUWfC7dIfuFtx/n0PZDnVSYmKswlKz5+wfkX/17WPfgPhes/HOCXnr+avPnhBVEZ+YnzdwerdjnzV9/4BYuJSsgFmxwu2pLg+U12HRDYSBohVENFLbSphpKwSEk8x6QkJbj7OoVOgu9FhH6XwOuS0OOhXYKb7wq5+c4qzcimnZi1JxxV8LodHCkIigGOXbiU2MrIDpibwLZlX1PRtszSRGlcaxf6LiWR6eWy6eXEI86ExTN8vvweT6edL11LO51Ue+ZRv/mvur9bmeWDxYUk0cR2jp3kJJYkUYJEUXwUAz3JTGGlOUop0tQynkepuS5ZmcKzMy49O+NP/32TZrzIzXcuctNdIY/tqtFMKkSOS5RJGoXAZl5E7lKiLcvNxnx501ohhSL0HCqhy7nrmjyxu8ujL0jSzOPCs1fwpitn+OjtEaozde+mqcmf+M//65Od3/qFd33zAQ4gqz/BgRfv6mw85/pnP33fZ6/YvCK1L9is2LQ6olad4y9vg68+VuesSclEQzFSt2lUjJ+m75mUxDgh5yYVKdIR340JvIhK0CHOzNDmI7fVuPXBBrNzgWG9lUKB/TdaoaTAU7pgBhZRSZU+6MWbWCiYOpZRNHVssG29RNixv6xcWoErTHLaZ1ks52pzxkg8nMacFtLPANJhDvjyc2MJx3yJe4PhlmSZyZuSgmpgbPiMu0KSaZIkJ7Zy7MREccsCO5UkRRS3U02qclJLYmWKNCuAnhlX6jxXxMngwYdK8xPfnfCWKxf5wkNt/vL2KrsPNZjvVoi1RSOXpHluHkumC91BiNO80BzMSTJNnltIaeE6Vd54aRfLmefvbpM8vNNjpumwbcMEV1/gs/m8N8dCyM7Vr3rjPwaq/ziAAwhpcf/jR//VedsuuiqZf+i8zdMdPL/LR+9MuWtHg40TFmsnLabGbMYbgnrFFI9uIXjvlDzuQsLNOCP3qFY67DkS8aefCfjcgyNmcdl3CCrGC0YDcWaMRpOiolliNy3oaySqsiBU9EFu9RVxKdIYXSwqm/6yGYNnaJ1x+JTpAiDlEFW23PoZRNwy5V6+GHEaWpfimtLNefn3h//bQOx+YARbrqShJavHjX9Rkg80RsoN+STVpKlROEiynCQzrb8k1SSpSdnSzNQcWWaKx9L33hhXKTSaLDOj/zRXoAVKpYRuwo9+V5cbLp/ncw+1+YvPjPLswVFi3yXOCs/LYg0uSjVOAo7SdHrQjXKiKCdNbbR2UWqcN1xwkiyf5W9vG6O9V5MLwQ+87ZLuWZs2PSz67m/fQoCv2Xg1vW5HJ3HnM/fetWfzkzsPeruOKB5+tsK2lQ5rpiymxy1WjmtWjPcYb0RImZMkhoaplC50CpMC4D2q1Ta7D6f86ocafP6BCVzfZ7xhFiMCK8eWRuqgFUtO9CTJUG1XDkQGHYlBl8IqJpYDiV76GtQluO1iOqhUimVltNOMj3+5Sp7ZWFLiCN3njPfBXjrtDTX6lroUDxehQyBelp8s3+Lpw3vY5LUAXqYNpyTNTR77A6/vcvv9CXN5TpRLkkz0NQDT1Hw0n+vCeQHSEtiZUW1Nc1Hwb4ZUqxiwFLPcot316EaOWT1UOa6d0uz6NMIuP/uWFusnT/Ibf57yzMExZrRfLDTn+ENqVgjoJRIlYbKW0u7lxgQ48+lFK7jmnDmUbvHciwETU5t7W7a9/gNh4P16ELj8Y49/NMABPD/Ib7nl1t+Kk81JZutfPjFzynnV2Q7VQDI1Klk/nbJ2epEoa/LwLs36qYxt6yw6kYOUGnvIqqRaabH7SMqvfWicLz48SbXmMepBwymGPrYoDKsEM+2cU70EkWRoYZEJm0wN+sZLW3bmZklpiq2+aD9DQC8iuFXqYCc8exCeP+iBsrGEaRGWgx4pBiT+pVG3HGEv44qf4bXrD7KHx9fD9zTUgsu0KLoURaTNzCJxmlqcvarHprUdHt1XpZc5RRTXA5BnwkTxLDdKY5kY3HJRFIGFQ3JeDmRMV8VzYqRISVLJfHOE2UUfAdh2ju+m+K7d57684ZImeT7Hb/x5zrOHxpnTPnGmCDONV/Du27Fmy8YW61fEPPuix4kDPq1uTJzatHsuh0+OM9mYx9oyFa9bt+79Lzz7wPuuvu5NX5Mt+E0FOMBirxcLa+J3V0/Nx68+f+63H9mJXDEu2bapx/qVp/jSYwl3Pemx54DDm6/ssn2j6Y44dlIQhoxdyc6DKb/8p+Pc+cQUtYrLhK9peDkVbzABLcf6F1QzfnjVKWaaC9x4xwh7T4ySWlaf97YU5GX3QAwiuWRJ3m0XVxPjE5RiOwmPP29z6FiA9Ex3xl1SsA6ALofTkz5XfOBSXGwfLFm4X0qoGrT+xBC329ynKHYrJanQqFSTKIWVKezUohs7rFrR4+JzOzy2OyZyHKJMEBdpSJmLZ0UunJWAz4wYfRnByxF++ZeV1HhuwuFTER+7w+foXI31owH1wMX3NKGXE3pmSGY0xM3V5fqLF7F/dp5f+zPBU4dGaWqfXqawpWEJomOu3Zby5isTdh2O+OoTbe58pEGzK7jc00yPNXlqfy3fumX1b289q/E/j55YjP9P8fmKBz0vd3zq7/+en//Z709XTU/OznWCn3nm+YPyqvNSLGeWzz6a8el7a7QWq2xZGbB5VcD0WE6jtohltXFsozFnOz3+20er3HzXNF7gMxVoRv2cWqCpB4J6KKlXLcZqNtPjFts25Lzmwg7XXzzP3qMZO14IsW3LSE+Uy8sWS0ywyi0hw1bUhVdQXtxSfM/olId+jyjt8cGbQ3YeamC7HnWHPtXWLdqP/dF6Oe7u87bpj+jLoU455ClPNFXWBdIUfVY/lTIfzZRxmF9dfDY0rClZha6TkecJX3jYp5d52JbEU4MOkmWdnqKV7htWP03Tg5rINizNStDhprsVv/XXKzlyvI7KTZmd5cpcSfrErWH2IGzdECNEj9sfdsmRaDKEiEhywcqqYlU9wJE11k1ZXLCpRxB2OL6giSKb7RtbXHjhJXl99Kx/u9CKjlx73dv/T+H5fx7BAYSzmdia2L1p/cjP/cjb5Z888viD8vEXQ+YWLVaN2GxZbbFxtWDbxg62s8gHP2Vx3zOj/NK7W7zpiog7HrP57H0NhOsz5mlGvJyar6mFgmogqYYW1dCiUZGMNzJqlZRuZCFwCd0MsphMewX/eem0TvUnh2UUH6Qm1mnpSYrjRNz1hODeJ6rguPhKEKgcV+mhoZGZZJayIP3IjWnTyRxyqYsFg+EWoej/W04PBy4Pun8rsZ3notANNLIbGtFPHyxlEVs2UeRyzflNrjyvyZd2VOhmPlFmCs50ecFZpC5poc84iN6ikEUuH5ehArRin1h7BI6g1ck4OWf63ElqkaSSNLOLvN08JyUNAezNVy3yqXu73Plolde8qsMvv+cUdz/t8dHbJnhkl083Ehw+WWPLOo83X7bAlVt6PLlbYjeuyzetP+fnVm/ctLs7d+IbAc1vDMBfe9V5HDm4J56+8PIP/fGHXwqmxqf+4NzeEY6etDh3nc32zSmTY4scnl/kj7/g8ezuOqMVh/nFNq3OCU7OdWh3fCqOoO6atKQaGHDXQptaxTjljlQzRqoJFb+QbQZefV7CzfcmHJpfmusuXwY2eXjh66MG6UmfmWel2HaCsmM++qWQhW6AFVhUrHxwVShZiEXUBXOpT7V540WBTJkZXRGldT8fh8HEsz+h7EfiwWNSKi82h4oCMDX3aSkDdoHq7zlalkMcJ9SrNj/6+hZffqhHlHr0UmP7URaaRuObfppiUhPDa8+0OZEGFYDReNx3VPDA0w5aC6IMWj2N18rMOL846bSWgGXSQaVx7JSg5xH6HcYaYLsuDcdGJB5vv6LL+slTfOaBCs8dqjCz6NKLHeKsxu4jHSrhKlZPeL+4euNVH9q588Xs3HMv+M4BOMDKNZtoLR7M/sV737hn/0vV5i2f+Up1vKLZtqnHbHeBmz+T88SeUXzpsGVScvZam8AKabY9kjxC2g5Vx7AOK76g4kuqgUWtYtGoCkZrGY1qSqMaUw1jXCdG2RnnbU5YPZqyb2YA8P5291AOLovUwKQCw7YqA36H78YcOZmz/2SAtjwqShjrlKHlaN8BxzFXBa2hF2t6iQGRELq/EiaKdmWuzrC6tiTNoP9YHDszctRAmkl6sUW3Z1IBS2kyZ5AKKKmxrAwncYhij1WTHVZOdTg4W6Ft21TKdmARtbNMD4YuuS7yZtG/SgybWFlWzrFZwc49CjJNKxXM9ySWyoHMnLBaAzZCSJRUWMrCtR0C30MpBykF1QCynsUDTwWcs77KBesWufSsRZ54qctXdlR4ck+VXiSp1EdZd9bVzQ1br9iz7+Dx7Nxzz/pGwfIbB3CAsOqzf7/+zMq1r/lX518UfOClF+4Y3bFnjoefD4gimzU1wZoJSaNqMTEiqQQZ3TjlCw+HpFhmnc3VhJ4k9BWVcBC5R6sJI7WI0XqH0VoH1+mhZGrYfVleLPwWXveUBaAYkJ7UcE+cojWY9aO3Yye4bo+b7/F4fk8Vy7YMYcsyOizGZQCzpFHIyAkB862MEws5vcSoNXl2abNYMOyGlgRKCJU5u+nZFy50Vl5sKplitxcrTszZzC0qhDT3mxXrZmYNTWNbNpGV0osdtm3o8s5rm/z+J2tEqU2UCZJckJSDn2x4mjiYeub9xzg4MY2nZiGMn6cs9Bx0WvTJdY4mR5AWQcTCUhLHsnAdh6CTEPoe33V5zN1PpbS6FifnMlzHYaE1ytppn3VjXX7gtTH3PDlPmk3z3W+4fnbz2Vf+W5m3PtOz/H8c+L4VABdiHID5hcUbr371lZaQvd975IW7J77/qjke2xMTWgFTY7DYEtQqmqnRDp2kx84Dk9QsRc3PqfgFuAOLeihpVDNGawnjjS7TE018r8lMM6aap9QqYEtBxU8L+QHZB09fuKbgX1j94m7QObGsHNs2SliBF/PS4ZyP3VFjMfcZswWBlQ9EiZxiUcOTxlHCV1QDwdnr2iSqxZ2PV5iqmXxUSo3VTwMGUX3wOhULuWVqYpkCz3dTQj9ivNHiK09YPPyci2dJKqEk9CVZXvBQhCqeh4VtGW/LwHV5z/Vdbnmgxd6TAd1UEaf0U5TylmV50WoUBdCN32QZxU0KkrPYgyg3a2sT4SI1H47OezQjh3V5DuQIkRZmUVbB77HwXZdaJeDcNTGh1+bIfIM14zlxkrPrYMpix8b3Ozy2s8abr3GZXn/NyfMvvOY/JklyYxiu+IaCuwx23/CjUa8xvxj/5Xnbrv2Vf/UDm0+GQZtVI4rVK2J2Hu4Sp5rpsRgtmtz45YBuN2CyklP1S9ahohpI6pWckWrKWKPHqskFjs0v8Dd3SX7xT0b52B0NFlpVJho2r7qoR+ilhhw1BKD+IkFRaJb5t60G/BNbmV584Pf4/MMO+45WcG2bqj0Q3+/7AbkG3NVA0ahKVk7kXHVBj++7bgbPb3GqLekmwgArGzDrlvDGxaD/LfsUWdPF8JyEkWqHbtLkE/dJ7nsm49hMxPxiSrOjaXcF3Z6kGyl6kSJKLKLYJkpserHL+inJW65oknUTuhkmimdFLt5PTfQQT0QURKhBBFdS04s09z/ucWS2iht4/OD1Pf77v5zhh64/ztj4AntnBacWYaGd0WyntDoZrY6k3VU0OzYzCyGBXeG9r2+hrR5H58B1Ms7dMMfhk22OnAzpJDF7588/efmrXvcrtp39ZRjWvxlQ/OYAHGDVdJ0p/8YPbd0S/1Imz54NKzn3PdtjYcHlvI2aMJjnL76o+NSd44w6iokapt/tSQJfUQmgXskYqUWsmmiy90ST3/xIjQ9+YhXHj01y6tQqXjo0idAVVo5meCob6gIMBj3DBaYqOiiWNcytzvCcmHaU8Ohuj8U4ILQFvsrxrFJc3+i2+K7ZQAqLk68WJjh2zjlrNNvXtFho5XRSUxim/ct/SRcdEGeHOdjlUrBZQUtpVLvsPJTz3P6AKJU0u0bbr93J6PSgE0l6kaQbS3qxIkoUUWzRi10cy+bizRGh36aX5AXAi8idQpYWQC/74jnFFLPs2JguTZrnHJ1xEXnAOZOSqWCclY1p/t3bFf/tx0+wdtUC++Ykcy1YbGe0Ohntrqbdk7Q6FqfmfJrtEd55jc2Pv2mOhSTimZcEjYrPVRcsMrvY44It62ZPtvilX/0fN31IiOo3C4bf2BRl+aHqP8uO+//ur8/eVImPLvC/ZX68esMVksnxOW6+L+HLD9fZOO6wblLS6ppQ59iSwJVUw5xaJWF6rMPR2UV+528qPLV7jLMmBWevEqwYdZld0HS7LnFkONvllkopIjnoPZf94JKIVaYpBlihH/PAc5Knd1eQyibsR289EPwsREB9V5rdUs9w2KXIGa1pLj+vyz0vJHQSl9QtctwlAkFLx/V9fZP+YoORoetGKQ88Z3NqQbHChyg23A3HyXBsY61u6L+SyJZEtoVr2/RimyR1Of+sFpef0+Irz9ToujZxxpKpZtaP5mXKIpYMfNDFQkKxHDJV0Rw96fHELp8t6xQXbtD85g+f5Nf/UnFottrn8ge+IkrMVHShpTh0osr6aZs3XnyKXM9x58M5n78/4DUX1bnmVRvZvO37TlqW8zcXbV33zYTgNy+Cl8edT2T5nU/5Hx8fXftTP/621T0tT/KBm+C+J+ucPeVx0WaH6y/PcMOEbmy8ygNfUwtTxmo96tV5vvgYPLlnhDUjglWjMFq3CDwT/XR/k1X2HYqtYSpoP/8uJpFW2RrMsWxD0e1GCTd9xWPn4QqhKwmsvK926wyB2wyKSo1Eo6olyKlXci44JyIIMqJk0ILTy9OTZVSsYSkFJYwQZaureXqnzWJLkmGISlGxwGBumiiGKJZESXlTxLFFp+eyaaXkHa9rEXg9OgnE2YCfYpiGw7ciR08FaSbNrdRPKbbvM63p9DJOzUsOn/Q5fHKU7escvuvSOWZ6KadaglY3o9vLiFPwvZRW3ORLj6bs2Omx5+Ak121z+LfvmqOr53nu2ObempXrfvjCbet+cvu5a9N/FKi+kwD+H37uh/iB1yXZz7xr+qbxifH3Yp/TCy2Xc1Y6bN9oce4GjZYL7D+RYFkC35NUA009TFgx1uIzD2TceMc4I77NioamUTVE+YpfSrcl2JZGKGW44OWkcYgqa1tmxD7cHrSK0bzrxLR6KQdOeOTaNdG7BPeyLSDHEX2xfdcxBapSOUJplGWicl4qY32d5cxhXvlg79JojOSp2W1Mc1FQTQtud5IZsCfC3GJJnJhc3HBCbNAO6yYyGn6XKMnpDaUp/Z54mpOl+YCAlZm+eZpK0tRwXPJUk6WaXgztXsZ8O2d20eL4bMBis8EPXx/zlqtnODQvWOxAq5PR7Rk7yXXTbVDzPL8v48ndHi/sG2FxocJVF27uTU1OvPeOHY2//YM/ufk+Swj9SjD0HQ1wgC0X/CCf+OJs9urXXH3zyWjNj1x43vrOJed0qVZixhotntyryWKXyYbFSE3QqKZMjnbpJE2++LhPrx0yXdOMViT1ikUtNGa0tTCmG8fsOuIitEXg6GKJwSw32MUl3SrBbek+LdYuFnd9N+bOxy3u3VnF91R/3c2xKGzCSxlnORTRB35Ajp3S6+W88JKi2ZEMMzu//ru3VDwl01AJNGdtTHD9jCg11OAk0cR9L/e8ADkmesfGnzRKFHFi0+66XLZF8/qLWsRJSq+grKb5UATPC654itn6SYS5j1jRjWyEcNi4KsHyIha6gnY3p9nKmGsKZhdsTsxVCJ0qb7iojet1OLogWWznzDczjs9a2LLCeZtjTrUS5joR9z+XYwfrOtddOvIjzxz60ZtfvXUh+6V//Z5vBfS+NQAHePc7f4Bf/u879E991+FPrlg9/VPHOhsXPFfz6Itd7n8i5Kxph3XTFpMjGWP1iLH6Ig/vhmf21JmqSMaqGBuLiqIe5lTClJFah12HUu56tIqVKyquHgjoF3ontmUWG+wiBzcDEjOad+2UJE04dMqik3j4lsDvr7sZvrQzdD+ONTC7cooTxXMy5pqa+3c4dFoKWw3tUP4DX6M0NfYw11wcsaKa0ItNdI0zCg53Xtx0H5hRYcAbJ4o4sYhiB8eyWDURI63YnCS56E8zs2yII57mJClEsaAXS3qJot0zFIjXX5xy1toOJ1uCZhdanZTFVs5cSzGz4DCzUOX89Yorz1lgtmWs/k7NJew/mrPnQJVrtzlctGWOLMn4nmvGF0bHJ3/qh36t+cnf/tH/rW/4rnd/q2D3zS0ylx+/90vvZfXER7j23JV/u2V6wq4FE//zs19+ZuzSTSkXnJ2zYryNFIKJRofnDkT88a0NdOyxaiqnUSnE9StQr6aM1npYqs3f3+Ox80iFjSNmSOS7Er/00Cyjbtk5UYObkhmBl7DnmOaLD1TIUpewyhK+iVusttmWLNIUA37HKovUrC+hJi0JyDPqdQ+O4VWHAbU212UvWiK0hFSj05Q4Y6hIHAJ5oomTIvrGgshRfYB3I5uRmsP3XNnhc/d12Hk0JPbF0IZN6aZmrga92DzHbiTxeopO12F20WfDihbff80Cv/uxKqdaNlUvLwRWHQLX5qgbsHFVjX/51jkOzzc5fqyGJXOOzfc4Omtxar7K2hU26ZrzZqQ3/u+OzQZ/+wf/4QWmz/rZbyXkvrUAB/j5H/8xAHbvW/hrpSzrumse+N1Th744EfWOcWIhoe6P0o1Tbtths/9Qla3TMFoV1CoWtYqgUcloVGNWjDZ54XDMV5+ZoObY1P2832YsBYVKGTinbytY7lyW2zspca7pZg6upYZ0VAwT0bYFtqUKcNO/GlhWaVdoDK5ynZNohZTSbKsPgXwgBr9klWGIXjtsHCXIMmUkjGVKkmszjexv4RTATDOSVBSRWxp34mQA8jhxsGUPx4pJdE6SqcHkUpeEqZwoLnk6CksJHEvhOUZ4vtOtcu22OW5Zs8ju/eM0fG3kPNwM31W4jovn1DhrXY83Xtrik18KcFyLSqNJN7Z56dQoP/q6N5y85urLfxnSvxZi9FsNNeBbmKIsP85aX2fD6uzDr3vt5b+y7qzrTj53cJI/+nufEzMOrSjlsV0BqxsWa8YlY3XH8FJCTaOWsGKsTStq8bG7Ao6erDJV0dR93Z+ChoGiEggqvpGlsK1h1wbjz25bOVmW8fjzNvuP+wSuodoaIC8rLi1h0hY7N5wRy2z/2FaGkCnPviR5Yo+H4xaObcNEL1Hqk/TFhwfe73nZcRF9Cmo3sjhvU86WTT0yMuPbXkbwcteyzMkLwdCozKELgLe7DqsmJBec28VSCXG2VG4uyw27sBfndLoprW5Kq6NpdgTNjmKx7TCzELJy1Oc9r1vAC9scnpfMt3OanZTFjubknOLA8YCjJ0e4ZDOEQcxk3eJn3tTh+ksrvPNtrzm5/qyrfuXAcevD3y5ww7chgg8fQtQ4NdP70KazXpO+9x3OH8CDI5XqYZ49kBD36mxdo9i6UbLQEkgF1SBncqRLki3yh59yuOmrE4wHFmOhGfFXfEU1LEb8lZzAN3LDebGp0if1C6OshEjZd9Rlbt5j7VTBJS/A7Ra95jJ6O+UOp8qX9NCVTNl/THLoqEdtVGDJfLD5U9qVDC8V68G2zgDcA4D3Yot1KzQbpyN4LKWXWUWbzzAD41TjlMvEiSzSlKLYjA3AOz2bdasUG1ek2CIlLQA+LNmWFWlKL85ICkF0Ka3iimXhOS6eW+UdV8+gOc4ffWolJxZcGmFOnmnavZwjp0BQYf3qHlvXtZibczg6dy4btlw399qrLv8Pji3+SqhvLLfknxTAAcbHPLKsd6PvXjF7wXlzm6Js+v1PPnaXPRJoztsk8fwmz+y12bgyZKSaoEWT379J8ukHxhj1XKaqORXfuC5XAkU9FIzUcsbrMaP1CK3hwLGAbiyx1IAXomTOzCLsPubiegpflelJYYLVN50tW4P5YL2tUJlS0uTfjifBtrAlRsNwaA90oDA1oKSaNIHCUUz0+9DlOloS28Q9TZ5lpHnJ7TYb88aJOCe2BFGc49iKyBJDfXFFklr0ui6bpjuM1hKaHfNaS2napYEriFLB4VM5Qht7vjw3J6RtW7iOwndtZhYClNS88+o5bPs4f/qpaeZaDhtlzrrpLg8/H/P0nga1qsO2tT02v/68xJJjv/TqV122B+l+Tij7H4mKb9zxbQc4gFJe/onbd32G8Tc5I/q5zmWXWH+889lnxfpVHXn/czGtnstYLWfl5CIvHO1y52Mr2DhiU3UNGaoc71dDRaOqGW/ErFvRYra9wCe/EhJaAasmJJ6tybOCsy1zXjqquPPJ0PBMCnCXirNu35ezVL4aAnchPG9bGcdmNZ++L0AqC7fYpLHkQIvFUoNNntIhIivcheO0kHDIJGlqhOuTzAD0LVdF3L4jZrYdLpODgDgpWp7KyCL3LIGbFKP72PTF2z2ba85PWb8y5oldunjOhupbDW3OmdJcefEcf/dVm70nArTOUMpctXxHEnoK17E5mlVZbHlcf/4sX3hgkb37R9nYzKl4gvWrI+57LGLz2lp+0UWX641nnfWv16zZ9BHYHQtx8bcbVuY5f7sfQHm864azOXf6ULz1rKkb62Obt77ruzf/prZr7Dss2TTtsHVDh4OnWvzFZ8fYPu1y+RZFEJoCzLMNQasWwkgtZWq0S706x449Gfc/63NiJqPT08SpSQegGMrkmjh1THuwJFY5opBzLjUMdV+CuBQHGtbpbnY1z+5zsZQye5tFi7GvxVKkOpYyebjWhTBPYhzFklQQp4KkD3SLNLXZtj6lESQkmR4sJ+SQ5EXuHef04oxulNGNoBuZVl/JTYliG1sqlCj420IY09timDY1Knn1Vs1FZy1yspdybEGw0DTkqXaX4oqX0+xkPPRshV17V/LTb8qYXtHiuQM5ew46rByRnHtOlZn43N8856wNW217+sZDB2e/Y8AN3yERvDwu3LoVoDu776O7Rtat/92dH3Wday+b/rW6u1/Vasd58hlN1Aq59mKLszZ0uOX+hPlFD9cxLm+1MGe0FjPRaPLAzpg/vmUFqysWrj1Y/ypnK1JmSEtjWwrPKr03jZWKAbck8DSha4RBXScvlo1130dHFp7sSCM+VKpqOVahYlucLL6jsG3D3IuTUvnJpC1KmhMgdiRposw0MVdkmUTnGVnZToQ+fyRKyl57mSYJnMK0qxsZgMeJYRnKrOQMiGLRwtQFcSJpdyv86+9d5PDMHI89N07VhcDPqIaKXiTxnIwjc02++qTk2EyF6y9vcNbqBe56zGHPsZCNmy/Ovuvqxvte+2NbfzcW+7P/8u/f8O2G0GnHdxTAy2N0/Xv5y49+IvuJH/6J/xT1jlufuf2eX3zoBeWSHWLbOslF53TpZXPEvQpjVTNlrASCRjVhvNEB2eTzj/iQ+oxVclzXEK5KTRJLarqR5u4nPfLUolLRffvwkhJb8Y2XTDU0znG2pQdSEDl9rgZCg5RYUuDK3IC8aDO6jmlXVgJzJejFmoVWRi/O8R0FWqGUwC3y57hIUbJMkWel99tScc4sg07RMszyMvUwvXrPFfQiSS+WdCObRs3m6gt6PLU/I83tYikE8sxE/NlFl+mxKt9z2SIPPR9xouVR9Q23Jkoksws+gRORii6P7baZHPFxVcwPXD/CVVdcGq0763W/v2nt2H967KGbuPiKd3y7YXPG4zsS4AA//t53ofUc+/bav/a6q94g92/YcOWHPnarfNUF+ZUzzZes2x6uMV33sa0Mrc1K29oVLSZGFnhoV8q9TzVYXdfUQgNYxxaFaZNGqpxurLnvGQ8ym8DJjeNbH9yCWpjRqKQ0ahG1IKIXS+abPmkKlmVAaNRSBQiFJYUxt7JMB8b4h5r7alRyVowlNHtdHt0l6bYtphpGGs1SFp4jDMCTgYFUphVo40RpS6Oj6Nnmz813NN22oO6b5QQlMqO16FgEnqQXWfRiCyUtrjqvxV/dlpHldl8zME41nZ5goWlxfLbCNec1uWDTAo8+52IJqIYZAsGeIxJbNXjrqxe59f5FDsysTl9zsf/A2ed9X75h/TkPuL74tf1Hmqxb+c2ju/6fHt+xAAcQYqT89Fd2PvUpfuUnr6juPbL4Z5+/J3zXhqlFuWXNDM8fSElil9F6h2Y0Ty1KufXekDy2mVoFIzWLaqjwnGJjHTNHVDLHLlIH3zaub2ZTR1INcmphymi9x5rJReY6Le58soEraqyZFFhWTuKrvlWfKJiMdsE3d2yJ5xih/2pgXJ9XT7Q52ZnnSLNKe07h2Tmy0Er0XUUUmzzciPMow+hDYAkjeeY7mnqoWDUJlr/IZx9R7DkVsFFrlMywiytG6Ek6gaIXWUSRQy9SRpBeDtKcKM5YbAlcW1EJfFZOBLztqja7XkrxqzEzrZAsk/TyFk/vklyxbZwfe2s1X4g2/v2Rbv2nT+w41Dx362Xfbni8ouM7GuDDxznnv517Ht3fFFXv59/42iMvBvGO8x5/sfq2Z/ft4Y2XxnTSRW76XI3vvswC0WWqCitGLdZMWTSqhdIUxfZKIb9gKVkY0lK4NZtFi1qYMVKLGW+0WYwW+Isv+jz6VMjlZ0PFk4S+RVp4UQq7kIOTgwLTuEgoAldTCTJqYUKt0qOVdohSj/muYLFbOMi5OX40IE0lRaswTSU6MZqLtjLFb72iWLvC4orzBFPjc/zJ5zRHm2ExfDI6j23fptMzA6MocUgzC/TAJUJgqLfHZ1J6scK2bNZMhegs56JNFt/9qpjPPtjhhYMVrruoS2NkM7PNtbdcfNF5z6xZv+KDJL2mcL5xS8Hf7OOfDMABrrl0HcApHe/9Dey3rFuUL/I2teZtKnmULz4IeVIh8CNGK7BmwmH7ZsnUeIt9xyQ6C5BS0Y2MGpMQYClFYFOYj5pNnVqoqVdSxupdauECf/VlyU1fmeC8aQuBphubqWGWG/70s3ssWm1FYGmjXlv00D1HEPiaip9RCRICP8Juxugsox0JWl1jeOq7GT1P9QGeppI4ldRC2LIp5fjTZgprK1MfaC1od0Pefe0CR2Zn+KsvuvhNy+yOuhmBp2gHkk7PMAPTRKG1WdPzXVPQ1kJBJrrsOSpp9QKmxwNmmwmdrkCnFa7dfpLdR2qsWPN6rty48ZZTve3/9kSzuX+tWPPthsA/+PgnBfDyEM4G9u2f3b95w/b/sHE6vPHEwppfONrcc63ovcR8e46DR122b5SMjSzy0K4uT75Q44ZLEnoRnJhVTI1aPHvA5bm9LpOhJiyGRLUQ6mHKSK3HeKPJ8cUuH/vKCkLHouLnSDnwpRcCkgTu3uGyMG8xOlHKPxglLc8RhJ4BdzXsEfhdLDtGpAmLUc5cTxJ0TYemF5tFibJdGMWKVROCay6JuO95U9iWo/5cC1odi3Yv5AeuO8EXHlnk8KkxwsKVLvBSmh2HZsdivumybT1ctj3m6IGQ8YaFUoIczRsuj3nipQ5PvpDy9IsVtmyUPOK0OD6/ije+9nyu9TfejZj44Kaz1z21KUv3C+ufHrjhnyjAAdavGwV4sZfoF1dJnlmYE9NrV2790+d3Pbm54uxS56xf4Mk9PQ4eDxirWqxd0eboqYgTc+MkqeDQSZuFBZtzNlKAW1IPcxrVmImRJspe4FP3uew7XOHsSY2jBipZw6ZNvVgitMJR2qQqypC0fM9E70YlYnKkCTSZWcwYG2lhHfE5slgltKHim5QhTvRg6SAzzETfzoZs+sx+Z5ZBnEqabYeNq2zeedUsf3irzZHFKoGj+x5Hi6FibtFh4yqLlWM5p47A5IhkrtfhwEnFzGLA6gnIsy5P75ZsWlPjbd91XrZu7XkvupX8X26/4NVHgV1C/ENJv99Zxz9ZgJeHZwuAXXE0tyvP0jdGqbXq137xVX//wvO31+wjJ8Krt51kZl6y77jggWcttq0BIRJOLErGKhaNUDBatxhrlKlJh6f3dfijz4zx0gmP6YmEXFt9yTfLGqy9KZWhbIlQg3U5pQSOJfCcnGqQEPotHt7d42N3jrOwmPJv3rHIe99wgr/6csy+Q6PUuzAS58QJfcVXsz6myFKj+1JSXUtGYZqZiH7opORd1yW8autJ/tetOYcP1ql4Rto48CQjVZuZhQrTjQ5PkWEpm+vO7/DA0zYv7A84Ma/YtnGEyy5e1b7o1a9fRCTvaDTWHpZS7f+nDuzy+CcP8PJw3BG01vvPP3/8YJbOb5PihldtO0//+Y6nd6bCemlUigPVXHuM1TLmu12++GCV1Q3BSM1i5YRm5UQPKQSB1+Nv7wqYnx3j+69IaMeL3Pmgi2WpQsiznGqmWDJDCIUUJj0RBXtQKYHr5FQrEccXO/yH/z1Jza5w/tkL7DsWcNEGh//+07P87Ac85lsVViSlxIQgz0Sfk5LnZrYfZ6JwRzC3JJEEbsLtj9m0W+Ncfwm8+zXz/OcPV0lSwdHZBCEFIzWbYzMV3nRZi7t39Dg5b4PwaSWKVdMrmtddvX52dPJcy7bUv5iYWv/gionqQpKSO/Y/D3DDd9Co/htxFHZ5eWsxmZuaXHtbrVY7+yd+7QubfvSH3vm+Sy68+NkLt6x4YmTU6X3+kVHGA4+qr2lUJSvGu8y1FzhwXLP/uCbuuWxfrbhovU2eKmyVGUc2VxD6GdUwphYaQf8sF30Sk8mRzfDFtjSeG3HTPR6OrvD6CyRXbPF46Jk6dz46hk5G+L5rm7SLrZrSP1IjSFOj4Frm/LNdWOxCp5fRiXK6kSFpKWnx1ItVnttbp2K7bJzqsnpKUq/HHJ1LmJnXzC0qTs6M8IM3KLzQ7SWseeLCi1/17PVvfM/71MzfbQqD+tkrplbflsTdOSHEPytwwz+jCD58NMYmwYi9dqLWHpSy3y+VfP+F55+lgjD448uc+Oxz1h+9+vjxI2rDdIdelPDIcxYbpuCpfTZHjnusP0cSBjGhLxit2ozUFNUQGpUUz2tz8GTMSKXCRD1ntJJRDxQZsNDOmUjMCN91eiSZzVRNsXJCEgaahU7O4ROCk3MVbNklSVI0Fq4jaFQShMiYb9nMtyxOzLvUK5JaLaLVtVhoC0Y7ObOLipn5gPmOptXLmW/anLvB5dyNKbqnOXcVPLlHcHxBsKoTIIN12VVXrLx323Z3V7vT/bnmQTLH9Zi4+I/0eVvXdb7d79c38/hnCfDhw61sgsF2b9pqzf30a692Rmbn5n7n+ac/7/QWX8gOnJq8eOUK65JVU6d4fn/GtdvboG3mWwknZiTbN9hMjEhCL2N6vMNcO+IPPjHGD77W5nuvPMwzuxLWjrn41Yjn92oWWzZaw96jgsNHJeN1Qb2icd2EXiJYaOecmrfZOJWzcWUE+NQrOZ7f4Zl9UHdDtPD4wn02l21QvOsNbd5/k8OROY+p0YxT84Kn9/isHG1SC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'weight': 12}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 36163579
{'hecke_orbit_code': 13510936522391633, 'n': 1, 'trace_an': 2}
-
id: 36163580
{'hecke_orbit_code': 13510936522391633, 'n': 2, 'trace_an': 24}
-
id: 36163581
{'hecke_orbit_code': 13510936522391633, 'n': 3, 'trace_an': 0}
-
id: 36163582
{'hecke_orbit_code': 13510936522391633, 'n': 4, 'trace_an': 1472}
-
id: 36163583
{'hecke_orbit_code': 13510936522391633, 'n': 5, 'trace_an': -4830}
-
id: 36163584
{'hecke_orbit_code': 13510936522391633, 'n': 6, 'trace_an': 0}
-
id: 36163585
{'hecke_orbit_code': 13510936522391633, 'n': 7, 'trace_an': 16744}
-
id: 36163586
{'hecke_orbit_code': 13510936522391633, 'n': 8, 'trace_an': 168960}
-
id: 36163587
{'hecke_orbit_code': 13510936522391633, 'n': 9, 'trace_an': 0}
-
id: 36163588
{'hecke_orbit_code': 13510936522391633, 'n': 10, 'trace_an': -231840}
-
id: 36163589
{'hecke_orbit_code': 13510936522391633, 'n': 11, 'trace_an': -534612}
-
id: 36163590
{'hecke_orbit_code': 13510936522391633, 'n': 12, 'trace_an': 0}
-
id: 36163591
{'hecke_orbit_code': 13510936522391633, 'n': 13, 'trace_an': 577738}
-
id: 36163592
{'hecke_orbit_code': 13510936522391633, 'n': 14, 'trace_an': -401856}
-
id: 36163593
{'hecke_orbit_code': 13510936522391633, 'n': 15, 'trace_an': 0}
-
id: 36163594
{'hecke_orbit_code': 13510936522391633, 'n': 16, 'trace_an': -987136}
-
id: 36163595
{'hecke_orbit_code': 13510936522391633, 'n': 17, 'trace_an': -13811868}
-
id: 36163596
{'hecke_orbit_code': 13510936522391633, 'n': 18, 'trace_an': 0}
-
id: 36163597
{'hecke_orbit_code': 13510936522391633, 'n': 19, 'trace_an': 21322840}
-
id: 36163598
{'hecke_orbit_code': 13510936522391633, 'n': 20, 'trace_an': 7109760}
-
id: 36163599
{'hecke_orbit_code': 13510936522391633, 'n': 21, 'trace_an': 0}
-
id: 36163600
{'hecke_orbit_code': 13510936522391633, 'n': 22, 'trace_an': 12830688}
-
id: 36163601
{'hecke_orbit_code': 13510936522391633, 'n': 23, 'trace_an': -18643272}
-
id: 36163602
{'hecke_orbit_code': 13510936522391633, 'n': 24, 'trace_an': 0}
-
id: 36163603
{'hecke_orbit_code': 13510936522391633, 'n': 25, 'trace_an': 25499225}
-
id: 36163604
{'hecke_orbit_code': 13510936522391633, 'n': 26, 'trace_an': 27731424}
-
id: 36163605
{'hecke_orbit_code': 13510936522391633, 'n': 27, 'trace_an': 0}
-
id: 36163606
{'hecke_orbit_code': 13510936522391633, 'n': 28, 'trace_an': 49294336}
-
id: 36163607
{'hecke_orbit_code': 13510936522391633, 'n': 29, 'trace_an': -128406630}
-
id: 36163608
{'hecke_orbit_code': 13510936522391633, 'n': 30, 'trace_an': 0}
-
id: 36163609
{'hecke_orbit_code': 13510936522391633, 'n': 31, 'trace_an': 52843168}
-
id: 36163610
{'hecke_orbit_code': 13510936522391633, 'n': 32, 'trace_an': 196706304}
-
id: 36163611
{'hecke_orbit_code': 13510936522391633, 'n': 33, 'trace_an': 0}
-
id: 36163612
{'hecke_orbit_code': 13510936522391633, 'n': 34, 'trace_an': -165742416}
-
id: 36163613
{'hecke_orbit_code': 13510936522391633, 'n': 35, 'trace_an': -161747040}
-
id: 36163614
{'hecke_orbit_code': 13510936522391633, 'n': 36, 'trace_an': 0}
-
id: 36163615
{'hecke_orbit_code': 13510936522391633, 'n': 37, 'trace_an': -364426628}
-
id: 36163616
{'hecke_orbit_code': 13510936522391633, 'n': 38, 'trace_an': 255874080}
-
id: 36163617
{'hecke_orbit_code': 13510936522391633, 'n': 39, 'trace_an': 0}
-
id: 36163618
{'hecke_orbit_code': 13510936522391633, 'n': 40, 'trace_an': -408038400}
-
id: 36163619
{'hecke_orbit_code': 13510936522391633, 'n': 41, 'trace_an': -308120442}
-
id: 36163620
{'hecke_orbit_code': 13510936522391633, 'n': 42, 'trace_an': 0}
-
id: 36163621
{'hecke_orbit_code': 13510936522391633, 'n': 43, 'trace_an': 17125708}
-
id: 36163622
{'hecke_orbit_code': 13510936522391633, 'n': 44, 'trace_an': -1573897728}
-
id: 36163623
{'hecke_orbit_code': 13510936522391633, 'n': 45, 'trace_an': 0}
-
id: 36163624
{'hecke_orbit_code': 13510936522391633, 'n': 46, 'trace_an': -894877056}
-
id: 36163625
{'hecke_orbit_code': 13510936522391633, 'n': 47, 'trace_an': -2687348496}
-
id: 36163626
{'hecke_orbit_code': 13510936522391633, 'n': 48, 'trace_an': 0}
-
id: 36163627
{'hecke_orbit_code': 13510936522391633, 'n': 49, 'trace_an': 1696965207}
-
id: 36163628
{'hecke_orbit_code': 13510936522391633, 'n': 50, 'trace_an': -611981400}
-
id: 36163629
{'hecke_orbit_code': 13510936522391633, 'n': 51, 'trace_an': 0}
-
id: 36163630
{'hecke_orbit_code': 13510936522391633, 'n': 52, 'trace_an': -850430336}
-
id: 36163631
{'hecke_orbit_code': 13510936522391633, 'n': 53, 'trace_an': -3192111396}
-
id: 36163632
{'hecke_orbit_code': 13510936522391633, 'n': 54, 'trace_an': 0}
-
id: 36163633
{'hecke_orbit_code': 13510936522391633, 'n': 55, 'trace_an': 5164351920}
-
id: 36163634
{'hecke_orbit_code': 13510936522391633, 'n': 56, 'trace_an': 1414533120}
-
id: 36163635
{'hecke_orbit_code': 13510936522391633, 'n': 57, 'trace_an': 0}
-
id: 36163636
{'hecke_orbit_code': 13510936522391633, 'n': 58, 'trace_an': 3081759120}
-
id: 36163637
{'hecke_orbit_code': 13510936522391633, 'n': 59, 'trace_an': 5189203740}
-
id: 36163638
{'hecke_orbit_code': 13510936522391633, 'n': 60, 'trace_an': 0}
-
id: 36163639
{'hecke_orbit_code': 13510936522391633, 'n': 61, 'trace_an': -6956478662}
-
id: 36163640
{'hecke_orbit_code': 13510936522391633, 'n': 62, 'trace_an': 2536472064}
-
id: 36163641
{'hecke_orbit_code': 13510936522391633, 'n': 63, 'trace_an': 0}
-
id: 36163642
{'hecke_orbit_code': 13510936522391633, 'n': 64, 'trace_an': 5398593536}
-
id: 36163643
{'hecke_orbit_code': 13510936522391633, 'n': 65, 'trace_an': 2790474540}
-
id: 36163644
{'hecke_orbit_code': 13510936522391633, 'n': 66, 'trace_an': 0}
-
id: 36163645
{'hecke_orbit_code': 13510936522391633, 'n': 67, 'trace_an': 15481826884}
-
id: 36163646
{'hecke_orbit_code': 13510936522391633, 'n': 68, 'trace_an': -10165534848}
-
id: 36163647
{'hecke_orbit_code': 13510936522391633, 'n': 69, 'trace_an': 0}
-
id: 36163648
{'hecke_orbit_code': 13510936522391633, 'n': 70, 'trace_an': -1940964480}
-
id: 36163649
{'hecke_orbit_code': 13510936522391633, 'n': 71, 'trace_an': 19582970544}
-
id: 36163650
{'hecke_orbit_code': 13510936522391633, 'n': 72, 'trace_an': 0}
-
id: 36163651
{'hecke_orbit_code': 13510936522391633, 'n': 73, 'trace_an': 2927582644}
-
id: 36163652
{'hecke_orbit_code': 13510936522391633, 'n': 74, 'trace_an': -4373119536}
-
id: 36163653
{'hecke_orbit_code': 13510936522391633, 'n': 75, 'trace_an': 0}
-
id: 36163654
{'hecke_orbit_code': 13510936522391633, 'n': 76, 'trace_an': 15693610240}
-
id: 36163655
{'hecke_orbit_code': 13510936522391633, 'n': 77, 'trace_an': 8951543328}
-
id: 36163656
{'hecke_orbit_code': 13510936522391633, 'n': 78, 'trace_an': 0}
-
id: 36163657
{'hecke_orbit_code': 13510936522391633, 'n': 79, 'trace_an': -38116845680}
-
id: 36163658
{'hecke_orbit_code': 13510936522391633, 'n': 80, 'trace_an': 9535733760}
-
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{'hecke_orbit_code': 13510936522391633, 'n': 983, 'trace_an': -11892426157508232}
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id: 36163835
{'hecke_orbit_code': 13510936522391633, 'n': 991, 'trace_an': 46881715576638784}
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id: 36163836
{'hecke_orbit_code': 13510936522391633, 'n': 997, 'trace_an': 21400415987399554}