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mf_newforms • Show schema
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{'Nk2': 243, 'analytic_conductor': 0.12127279806981958, 'analytic_rank': 0, 'analytic_rank_proved': True, 'artin_degree': 6, 'artin_field': [-3, 0, 0, 1], 'artin_field_label': '3.1.243.1', 'artin_image': '6.1', 'char_conductor': 3, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [243, 2, [2], [1]], 'cm_discs': [-3], 'conrey_index': 242, 'conrey_indexes': [242], 'dim': 1, 'embedded_related_objects': [['ArtinRepresentation/2.3e5.3t2.1c1']], 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 0, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 68736254195, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [1], [0], [0], [-1], [0], [0], [0], [0], [0], [-1], [0], [0], [1], [0], [0], [-1], [0], [0], [0], [0], [0], [1], [0], [0], [-1], [0], [0], [-1], [0], [0], [0], [0], [0], [-1], [0], [0], [0], [0], [0], [-1], [0], [0], [0], [0], [0], [0], [0], [0], [-1], [0], [0], [0], [0], [0], [0], [0], [0], [2], [0], [0], [1], [0], [0], [2], [0], [0], [0], [0], [0], [2], [0], [0], [-1], [0], [0], [-1], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [1], [0], [0], [0], [0], [0], [-1], [0], [0], [1]], 'ap': [[0], [0], [0], [-1], [0], [-1], [0], [-1], [0], [0], [-1], [-1], [0], [-1], [0], [0], [0], [2], [2], [0], [2], [-1], [0], [0], [-1], [0], [2], [0], [-1], [0], [-1], [0], [0], [-1], [0], [2], [-1], [-1], [0], [0], [0], [-1], [0], [2], [0], [-1], [-1], [-1], [0], [-1], [0], [0], [-1], [0], [0], [0], [0], [2], [-1], [0], [-1], [0], [2], [0], [-1], [0], [-1], [-1], [0], [-1], [0], [0], [2], [-1], [-1], [0], [0], [-1], [0], [-1], [0], [-1], [0], [-1], [2], [0], [0], [-1], [0], [-1], [0], [0], [-1], [0], [2], [0], [0], [0], [2], [-1], [2], [0], [0], [0], [-1], [2], [0], [0], [0], [-1], [-1], [2], [0], [2], [-1], [0], [2], [0], [0], [0], [2], [-1], [0], [0], [-1], [0], [-1], [0], [2], [-1], [-1], [0], [-1], [2], [0], [-1], [0], [2], [0], [0], [-1], [0], [-1], [0], [-1], [0], [2], [0], [-1], [0], [-1], [0], [-1], [0], [-1], [0], [2], [0], [-1], [0], [0], [0], [2], [0], [0], [0], [2], [2], [2], [0], [0], [2], [0], [-1], [-1], [0], [-1], [0], [-1], [-1], [-1], [0], [2], [0], [0], [0], [2], [-1], [-1], [0], [-1], [0], [-1], [0], [0], [0], [-1], [-1], [0], [0], [0], [-1], [-1], [2], [0], [0], [-1], [0], [0], [-1], [-1], [0], [2], [0], [0], [2], [-1], [0], [0], [0], [-1], [2], [0], [-1], [0], [-1], [0], [0], [-1], [0], [-1], [-1], [-1], [0], [-1], [0], [-1], [0], [0], [0], [0], [2], [2], [2], [0], [0], [-1], [0], [-1], [0], [2], [0], [0], [2], [0], [0], [2], [-1], [0], [-1], [-1], [0], [2], [-1], [0], [-1], [0], [0], [-1], [0], [-1], [-1], [-1], [2], [-1], [2], [0], [-1], [-1], [0], [0], [-1], [0], [2], [2], [0], [-1], [0], [2], [0], [0], [0], [0], [0], [2], [0], [-1], [0], [0], [-1], [-1], [0], [-1]], 'char_orbit_index': 2, 'field_poly': [0, 1], 'hecke_orbit_code': 68736254195, 'hecke_ring_character_values': [[2, [-1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '243.1.b.a', 'level': 243, 'maxp': 1999, 'weight': 1}
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mf_newspaces • Show schema
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{'Nk2': 243, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.12127279806981958, 'char_conductor': 3, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [243, 2, [2], [1]], 'conrey_index': 242, 'cusp_dim': 1, 'dihedral_dim': 1, 'dim': 1, 'eis_dim': 9, 'eis_new_dim': 0, 'hecke_orbit_code': 68736254195, 'hecke_orbit_dims': [1], 'label': '243.1.b', 'level': 243, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 10, 'mf_new_dim': 1, 'num_forms': 1, 'prim_orbit_index': 2, 'relative_dim': 1, 's4_dim': 0, 'sturm_bound': 27, 'trace_bound': 0, 'trace_display': [0, 0, 0, -1], 'traces': [1, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 194091
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '243.1.b.a', 'source_level': 243, 'target_char_orbit': 2, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '243.1.b.a', 'target_level': 243, 'twist_class_label': '243.1.b.a', 'twist_class_level': 243, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 1}
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id: 194092
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '243.1.b.a', 'source_level': 243, 'target_char_orbit': 2, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '243.1.b.a', 'target_level': 243, 'twist_class_label': '243.1.b.a', 'twist_class_level': 243, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 194093
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '243.1.b.a', 'source_level': 243, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '243.1.d.a', 'target_level': 243, 'twist_class_label': '243.1.b.a', 'twist_class_level': 243, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 1}
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id: 194094
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '243.1.b.a', 'source_level': 243, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '243.1.d.a', 'target_level': 243, 'twist_class_label': '243.1.b.a', 'twist_class_level': 243, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 194095
{'conductor': 27, 'degree': 6, 'multiplicity': 6, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '243.1.b.a', 'source_level': 243, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '729.1.f.a', 'target_level': 729, 'twist_class_label': '243.1.b.a', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 1}
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id: 194096
{'conductor': 27, 'degree': 6, 'multiplicity': 6, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '243.1.b.a', 'source_level': 243, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '729.1.f.a', 'target_level': 729, 'twist_class_label': '243.1.b.a', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 1}
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id: 194097
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '243.1.b.a', 'source_level': 243, 'target_char_orbit': 5, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3888.1.e.b', 'target_level': 3888, 'twist_class_label': '243.1.b.a', 'twist_class_level': 243, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 194098
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '243.1.b.a', 'source_level': 243, 'target_char_orbit': 5, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3888.1.e.b', 'target_level': 3888, 'twist_class_label': '243.1.b.a', 'twist_class_level': 243, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 194099
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '243.1.b.a', 'source_level': 243, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3888.1.q.b', 'target_level': 3888, 'twist_class_label': '243.1.b.a', 'twist_class_level': 243, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 1}
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id: 194100
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '243.1.b.a', 'source_level': 243, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3888.1.q.b', 'target_level': 3888, 'twist_class_label': '243.1.b.a', 'twist_class_level': 243, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 571775
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 2}
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id: 571776
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 3}
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id: 571777
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 5}
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id: 571778
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 7}
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id: 571779
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 11}
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id: 571780
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 13}
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id: 571781
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 17}
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id: 571782
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 19}
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id: 571783
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 23}
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id: 571784
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 29}
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id: 571785
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 31}
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id: 571786
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 37}
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id: 571787
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 41}
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id: 571788
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 43}
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id: 571789
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 47}
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id: 571790
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 53}
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id: 571791
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 59}
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id: 571792
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 61}
-
id: 571793
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 67}
-
id: 571794
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 71}
-
id: 571795
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 73}
-
id: 571796
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 79}
-
id: 571797
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 83}
-
id: 571798
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 89}
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id: 571799
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68736254195, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '243.1.b.a', 'level': 243, 'portrait': 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RFEic/SmmQw8vC1QFjD3KRhdiJheS1gbSAYxh4rfcGWCcNSx3D8nKLm+WyZhh1zIZtnhmyaGbFlZsSOzZbztigu2+lRV02OHG9z75M+Dz8T8/ixiER1+f4Xd3jLCy11NcMzxyY5clpzaj7hbArug4uW669Y4N+/a4WdsxOcnp9kfqXGUsdjuSNZ7SZ0ewm9keDA0UX2He9c9vj+sy85cuL07mOnzn71ple+Jbzrlr95riHxd/r6B83gKysd+qHFU/zWtx4++MJf/b2Pyx96ybEX/u8/eEovLG9laXWCpU6DpY7PUkez1IHlTsJyJ2JpNeHsKhxaEszNrvLr717ihosbnDg3zen5JqcXNeeWLGcXY04uJMx3Yyanh7zoqh4vuBR8WSdQAeeWa5xZ1JxdFvRHEMeGmm9o1hKmJmIMcOxszFoPdm32aNZHWCtA+PQGhvO2jFha1WCdFFntwSgGi2W5E7J9k0d3oBDKIsyIds3jvK1DVvuCY6c1idHMtCWtmiDwII4F/ZHk7LLkzJLl3EpMEAzBi7np8h4vvEIw166ztNLmxLmA04twbjHm3HLMqWU4tGS57vJFfuPdK2yZbHP87DRnl+osrPgsdiTLqwkraxErawnLXctiV3B8DVaXVvn9/88wfvf3eXfLyf/F6PoVdythfjUyHrV6+7mGyrN+/YNl8I/+5ad5wQ3X8sv/5l//5ic+c9v//qcfu+3Cp491dx863ZcvvHLABVsNidFYq7DWsTdWAhIQCGHRwuJLOL1U5/6Dkqv2LHPpziGNGnha4nsK39c065KGJ+n3PPYfrXHrwz7H5kesxRH7T4zYPLPMG1+0wlUXdrnu0g5HF2MW+4JGMOTwaUtnrcmVF0hWhwl7jypaDc1Tx+CibZZhmDBMfLSOmGrBvhMBSid4MkZ7MBhJbri0z6AvuerChLVBwrHTLc7fomg2QlZHlk2TfVZ6a3zyNnj0SMLjR4bs2rbE1ZesMTUd8oabuvzgSy17trRIokmOnJrg0EmPE2cNJ+cjTs4nHJoXHF+NeN7FC/z6u7tsnpzkxNlpzi01WFj1WepIVjoJnW7Eai9hpWdZ7sG5vmJlLebGyxb5+X+yIGtK7D535sT53X5yo988v95sTX393m99nvd94OPPNWQ2/PoHyeAf/otPs2XzVnXsxOH/48SJc7/24ONH1cmFkIWh5kzfcNWuc/zezy1wzZ4G55amWOo0WO7UWO54LK9pVrqw0klYWYtZ7sYsduDEikDXh9x8xTI/9NKQ8zc1We21mV+us7Dss9gRLHecRFjpGtYGhrWRpT+MmWlHnLfZAILAs5yc9xAyYNcmxfnbLNs29Tm3MuKxAy2ef5GlUV/hyYPTtJohYegxM2UYDOGy84Z87LZJLtkZMxpZZickUTKgVQt46uiQutfkmotjHj8ccm7JZ/tMwPlb4bwtIUpFnFwE37MIYdm1OWaqJekOAnp9j7W+x/KaYnkVljqG5U7CYifhbAeWhgnnbe/xQy9b5OZLNTWvzZnFNosrNRZXNctrgpWOYbUbsdJNWO1Zlnpwtqs4txpzwyVnec8/X+Si7U2WVtssd+qs9iaRwYVJvbXlN7ft2PkbSwvnkhtf9ObnGjrrvv5BAfyZ/c9Qq9fqp0+dPO++B598x+Gjp//z4aMnCRPJ2gBW+oL5vuJ0N+K6C87xuz+3zNUX1JlfmWJptcHKWo3lNY+VNc3KGnS6htVuzEo3ZnnNcq4jON2zIHq85cUd3nCD4YKtNcKwwUqnxmrPp9NVrPQE3b5gOLKEsSVJQElL4EE9sEy2LZumI7Q35NCZkCcOBpi4yetuDNHeKg/tnWD3Vvjy/TEvvjJgvjOgphVxEjE9BXHkob2YpaUGL7p2jS/f0+L8rfDggREeDV57gyEWA544lHDkZA0tfTZPaaaagnog8H2BEhAbCCPLMIRu37LaM3T7htW+YalnGSQJu3b0ecMLOrzlhSGYFkurE8wv153eXtOsdGC1m9Dpxaym4F7uw5k1xcJawnUXn+M9PzfP5bvqLK5MstJt0OkGrHZ9un1La2I7QXPrv5vZfOlf7dix/fhoOBxcdPElzzWU8q9/MAA/cfwAm+bm/GcOHPyJ/fsP/tF9DzwiFpd7Mows/aGhN7SsDWB1IJkfSM50I264cJ7f+eklrr2wxuLqJEurTVbW3Mlf6WpWu4JO19LpJax2Yzo9w0rPMt8VnOkYpib7vPq6LjddGrNrs6Jd91jr1gg8CSjCWGKMwFjoDwFhmGoNOXDKYmzILQ82GfXrXLjd5+ar+kRmlTsenuSaizwOnO3RWWnzgqv6fP2hgM3Tlr3HLP/Lm9fYezRg87Tk1ocVN1+mWO6vcfjENNdcHHLHEwPiUYObLvfZs3PIIO7xtYcUJIJDJzXthkYL6A8kxgoSY4liQBq0b+j0LM1WxM6tI154WZ9XPz9mplnj3PIES6t1VtbcuVlZE3R60OnGdHoxnV5Cp29Z7kvOdgWL3ZgbL1ngN396gavPr7GwOsFqt8FaL2Ct59MdaHpDSX8gCJOa2X3BlXbX+Xt+4fwLLvzQ0tJiePmlFz/XkAL+gQA8SUIZhYM3Pvnwly5c7pj33HffQ153IBiMLINhzGBk6A0MvZGlOxB0BoL5geR0J+amy+b5rZ9e4Pl7fFbXJlhYadHp1Vjt+qz2NJ2uotOHbs+y1o9Z6yX0BoZO37LQEyz0IEpGXH3RgC3TCb2+5fUvGLF7iyFOJFpawghuf6zG8fkaW6dinjxUA9Pg0h2Kay8xBLU+Dx3os7DY5IrdTdqTK9zzuMf1F9VY6q+ystJmyxbL/XsV//QVPR7Yq9mxyWOx12FleZprL+tzz5MJ0/VJrriwx3ynw/1PT1LXTa67xHLxeUOQPR47Itg0HXFuIeKOxzyGkUJKSIxl99aQV78gpNtTbJsyXHsRhGGD5U6D5U7Aas9jra/o9CRrPVjrJ6z1Err9hLW+YbVvWR5ITq0JOoMRN1+8wG/81ArXXeQujk63zlo/oNv3WOtrekNFbyDpDwVrvYROL+Lq510XhbH6pR995w8cbDUbX/B8zzzX2HrOM5nDwYDhcPTuwwce+b3TJw9On5tfoVmXICRC2PSnYgCEcBagEBYpLVJqHnhmM7/6fs2bb17mna9Y5vztIWeX2gR+nXrg0wg8mnVNty5pDTwmmpr+MKE3SNg8MgxGlu4wYHmhxskTljA2nDobEwQWEPjKoqWgP1AIPOK+5nm7BXu2Wc7b3meUdPnKA4p9B6d4zfMDrr1shY98xeKLBru393n8HsX2ScVsu09N1Qkjj/kuNGuaHZsFj+4LufbiOi+9ZpEPf3GA77V41Y0WL+jzjftDvnxfk6eP1LlgW4PdWxPmpkLOn424cneCUgatLGBpBAFzkwFh5NHt+zx5wKM31PQHit5Q0htAb2jp9d177w4SegPL2sCyOoCFvuLciqUx0eEXX7fAP7l5xNUXNDmz2KbTq9FNwd0dKHrp7+wPBf2hZRS6VeTObz3gtSdnfu/uex9cfskLb/jf+r3+hxvNxnOKr+cU4NGoB8L+1PFD9/7W/idumx701tBKUwsUxoKxAlAIAUIk6a3rpFHSomSCLyWPH5jjkWeaHDg9z5tf2OOFlw+ZbLVZ7jRortVoD3x6fe0+nKFkMNT0R5rhyDIMDWFkiSJLnLgjjH2sAakEnhbUfMFkSzDVgi2zhh2b+8xOdfjqQ3DnIx7STPCa53s879Iudz0dEQ7b3Pw8QWcwYH6pyU0XG2Yn+9R1wDBWLKxFKCN43sWaRmvEw/trvOTaCV5wdZeH9yuwEzz/cp+f/P5lvv5oyK0PNNl7vMZ5c4ot03WmWg0mWlAPwNMWJcFY2HtEkCSCKBaEMYwi3HscJQxGhuHI0B8a+iNDbwBrI1joSea7MDJDXnnNMm98YYcfeZUhjtucXWyy1qvRHfj0Bh69gaI7UCmwBYOhZTAyDEYJUWSJYsupU2f45Ke/Mt0bJP/X9732JXqt239/u/Xcgfw5A3g4XEKI5CcXTt7xW/PHvrGprvqops8otFhrcDVUEoFACIUQAilJwQ1KWbSyeMpQ9wSL/TqfuG0H33hkjRdfucq7XrnKlef3mJlssLTaoDsI6A+8FNjKHaFgFEmiWBDHbqm36aKhpEVrqPnQqBumWxHbN/WJ6XHgVMQn76hx+ESTyaDO9Zdrbrpqjfuf6XDLvW1uvKjGeVv7fOw2gRIB7VbEam+EsaAEzLX7rHV9TFznjS+e5xNfbrDnXI033NgnjJa444kZoqTGDZdv4g3Xr3HRzg7feLjP4ycaPHbEZ8e0ZLotaAQC33MXoUwvfmPBGAe2OLGEkWUUuQt5GMIghO5QsDISLHdB6CHXXLLKu169yosvT5hp11lZa9Dp1un2A3pDj96gWAn6I8lgCP3swhkmDEeGYWgJY4it4tjpDh/6xC2bOn37Wz/4xhfZs+eWP7Bl8/T/MwD+1n/1AT79X5fonfvoj5koek9v/pnZQPVpt2oMRjFSOGvesTUIIdJDoqRGygSlRLo8GzxlCbSlrgUrQ8VSZ4pP3d7kvid73Hz1Ku961SrX7Okwk9SJ44D+sEZv4DEYacJIEcWSOJEkRmCscFlQYQl8Q6MWE/ghvjfi1NKILz4oOXjS58jJKZQJ2LPV57LzFc+/dA0VLPDEoRbbJxtccQFsmVthea3NldslsbF89YGAUV8y2Yx57Q1DvnBHxPGzLS650OPM6pCnDnvs3DzF1ecvcNfjXe55SjAKfS49f5pLdwZcuqPLoTPLHDwFD+xrcOBwk4YWBFrSDCw1D6R0QZW17mKNEwhjCBNBbyRYGwrWIghNjLFDrrtojXe9eo0XX5mwdTpgOJxgqVOj2wvoDX36A6e1+0PFYCQYDCWDkesbHY4ShmG6MoSWUehuhyEMIsXpk2v84cdv33TvvtPvmZ2W8Y3v/uxH7vvvTyEmf/UfL8A7p/6Qie2WH1KzP/LSSx/8/Xe++KnJht8mbjSRSiIFSGER0iKlco+lQEqJUgKtVHpr0CrB0wJfG3zPEniWhp8wWRN0Rx4ra1N8+s42tz02ZPNUn3e8rMOlO4cMBz2uON+yc4tiFHkkSZHmF1ikNHg64dg5y5GzgtWB4fN3NTi1OIUNPaZqim0zml1bNBdshyv2rGHkIu/9QpPl5QluvFRzxZ4O33hMIGKPTVOSZiOmH/lIK8FKlPbpDAXnlgWX2wYve36Xux+us23W58Yrpvln37/Ih77c5YH9TXpDj6XVFudvq3PJ1j43XNzlrS/pcnp5mc/fFbDUDzh2xuPUKR9PuXMlEBhrSQxExpLEhqmZiKsu7zMaRVy6c8TbXjZi04RiuhUQRTXOLNToD3z6I7fKDXJgSwfukWA4wq0Eo4RhaBiNEgfqyOnwQQiDSNAfCXqJ5ujxVQ6d+sbsf/rnzd+/5/d3RUz87sf/+a9/nD/5Dz/yjw/gD973f/O/vu880Tm59+1fuPPk+/Yfeqqh1QitfaJYg3DsI4RBSg8lrJMkUiIlKCnRSqBVeqsFnk7wtcD3DDXPUo8sjdAyUUuYqgv6oaQbNjlyssnvfHwaTIyIY55/VZ/zt4TEMRhrsNYlcaQQSCXQns/+4z57D9Zo1jQtXzLbEMzNSDZNa7bNKXZtTbhk1yqJWOIPPtPm2PFJbrzY49LdCYO4y71PBEzWPWYmLJOtkEbdSSFjJJ2hYrlnWeokdHp1XnTFKg/u7bPvuGKyXeOGyyf56Tcu8YefhYcPNukNLKtdzbnlNltmG2yaGrJrZsi/fnufdqPD40dg/wmJ51mUsghhAOv+sxDHsHtLws1XxiSRRxQHWNtgGHqcXfQZjNyKNgxVLt8GoWA4EgxDx9qj0GVlRyPj2Doy6XMO4MMQhpGgHwrWQsFyKOnHIR4Djh8/Pvmf3t9439Gl34k/8Jtrn3re+X9sf+HHf/4fD8D/+X/6OP/6oxeql19w/1s++eVjHzl+8ona0XOaZ04Lrr1wQDORRQApfZSyKOmltwqlVKq3JZ52mtP3FCNPMgoNQZgwiiz1yDCKDGFoaccwigyjGMJYMIwkoyQgSmrsO9jksX2QWIuDttPGngRfuZqPVgBXbIV2HSaakqmWYmZSs2kaztsyYuvcKpFd5g8+M8GhwxNce4High2SPTtW+OZTMeeWJnj++ZKptqHmDwhkgFWCOJEIa4mTkJVejXNLHtdeWud5F3e56+Eam6cEjVqLay82/OJblvj9zxqeOtVitWdY7SoWVjSzk02m2nWm2hO0GxFzzYhd14YEXoynY5RKkKkDZXEXVRQp5hc0UayIYkUYKUZRehtKRpFkFEqGoWQUCheghoJRKj9GkWEUJoRhqumjTJY4YA8j6EcO3CuhpBfGEPa5dPeQS8+P2Xf8ocZ15w8/8uTDO83P/9juz7z7tf89aW//xe99gP+H3/0EM62aCsy+t331ns6H77m/UzNiJ5iIhU6H3/iZDpft6KGkQUiDlBalTHp4KGnxlMXTCk9bvFDie8J9CJ5g5CvCyAE9iixhnDhXJC4dCcSJJUkMicHpbUMObiFASdASPA8CLagFgkYgaTYUEw3J1IRg03TMri19Ws1VPnN3yB1PTLO62Oaq8xS7tnpctHNIIlb56gMNmp5mbkrRagx54hA8fVhz5U5Lf6S4+qKIq/ZYzp5JWFjxGQwbvO76Lt96fMCBU4pmXRL4ba68wPAbP7bE7U8N+MLtsyytWXZtSljpaCbbiommR6vh0axbaoEh8A2BTtDKSS2ZtlZai0tYGUFsJHEiiGNBFEvCWBBFklHknJcwEoSRJQxhFCWEkSEsEccoKh8O3IMM3JFkNYLBKERGfa7ZvcKv/cQyb3pxSGwSotHDtaGVf3H2QPvHE7b+9alnPpRsv/gnvrcB7ksjF5dX33ns2Kk/eebAiVp9apphnJDEIX97d0A40rzt5V3e/soeU+2YrkzQMkh1ttPDntZ4kSbQiqHnmGbkSUJfEEbCfTiRIoohjKRzEOLC9osTQ5I4dyGxqVOSuiWZO6Okkz2+FgS+pBZImnVBu2GZbBk2T4+Ym+oS21U+9S3Jh748w6ZajavOE5y31WP3NsOurSt85l7L8nKNS7coptrQakScOyqZXwnwz4dRJJibkExOwoEjlpU1w9nFGhftrvGK53f54p01ZloQ+D5KTnLlHsHPvGEeT87zt3dN8fSpGpvXIjZNxkw0Fa26olGX1ANN4EPggdbOYXIxTQnkuAs7MZAkgjghBTpEiXNBoihxpBAZwuw2MqntmLkyqQUZCwaRoBcJ1mJBN7SEo5CJYI13vG6Jd7ysx6ufb1nrtgjDgFEUMBiequFNvE8FNY30/xLHM9+bAP/wRz9Lkpgfu/3ew797+NCJ9qamohdZOkrRV3VC5fHVBzT3PlXnzMoS/8tbB0y3Y4ZBnbV+Da18PO3haQ8/TAg9jR86aRJGLpXuGEc4JkpZKY4hSiBJnJNgjAu4jLFZD2cKbgdwF7gKPO0AUgugUTO06jGTrZi5yQGzU6vcvS/kL26ps//IJLsnPPZsgR1bfHZshkvOW6Mfr3H/3jZ15TE3pZhswWRrxNREjO9rhHAX12Dks7wWsdq3dHox8ys+521p8YJL57nlgT77T7VpBBGe8hFigj3bFT/6qkWuu2Sev7ilxf1PTrLU02xqx0w2Yho1Sb2mCDxB4Ek8z8UqSpHahw7lFtfDagw50OPEpKtbai3Ghjhx4I4jCGNbHJFzZYaxI5V+BuwYhsMYEw2Zaazx8z+4zL/+4R6Nmk9nrc4o8gkjn1GYtg2unmyrIPiDxtTV/pMP/+2Hrnz+D3zvAXx1tYNS8qc+9Bef+a0zp0/OtOuCYeRYRUsIpKArPQZSsjry+N2/8th7aIU3vqTHy67psnk2pLtWZzAK8L2YwPcYhZrAd/ZeBvAokoSxW3ajOPW0E1Lrj5S5JcZSgNslKVPmBq1cwsT3LDXfUK/FtGoxU+0RW2fXONfp80ef9/jqg9MsrzS5cE5w3ibB9k0+OzYJzt82RPurfOIOzeETTS7eLJlqSSaaCVKOOLVgCbRziawVhJFm16Y1HiBhra9YWbOcW65z8Y4ab31Zh7/+hs/RcwGejhDCw9gmUSx5/vkr7PrhNb76cJ+PfXWah4422T4lmG0mNGsJNV8QeALfc7GKVrjAWYq8JsPiLjKXSHPANoYc5HHiJJ0DO4SJy1KGWfIoFgxi6MaSbgyD0JD0R+yYXeOl167yppf0ef31Bi0arKzUCDNwR5pR6DEKPfpDRW/l3MwmPXjPNTe+SfV7a+9vNP/n1JT/TwH48koHpb1/dscd3/qtp59+epOvwQQuiHR616W/fSnoSklP1uiEmk98s8btj3e59tI1fvhVfd5wY4eZyYDBMGAw8gk8jzD2CCOdB0pxrIgSSRxLokQQx5IkESRGFFrbCHJVYh1zS+GSRSpNFvmeIfAT6kFMqz5idrLHIBrwjScsn/zmBPc/OcmU73HldsvWacnmGZ9tc5Idm0Mu2L7C40cHfP5bc0wozdyEoN0UtBsRnX7Cl++t0fLdezcWBiPNG28e8aX7XE1Mp2eYX9Hs2NTizS/scf++LnsP+DSDGCWFA7lpMAyd1v/RV3S4eOs8n7h9jXuenuT4Sp0tbcFEzdLwDTVt8D3QSqAkaYLMve+s/MikUs2YYoWLU6A7goAoEURJCuxEMIwF/VjQS3AxTxjSrPd582uWeeer1nj+xQmbpzWDQZO1XgZsjzDUhJFOQa4ZhS6wPXJo3yavtuW3nnftTWbQ73yw3vjuj5X7rgJ8aXmVpaUexvDuz33xjv9yy63fmOmuraKVxDdgPZsmUpxroVPnoiahKz36nuLkWsDp+xrc90SPv76qy9teMeC1Nw+ZnvQJRwGj2COMPKJYE6VAjxNFnKQJm6QAuLEpc5uipqy4yFwdh9YG30sI/Ih6ENKqD0gY8PWHJR+/bZInj0wgooDdU5atk5bZScXctM+WWcm2uYjztqxxYqHLn36hSTyqs2OHYLKlaTeh3YgQXsjaoMlkyyKEwFqIYsl0oIhNTDfy6fYTVtYUpxbqXH5Bi5/9gVXe85cBxxaaaBWlF4YmjmsMQ8mWmYDnX7jGVRf0eOrYKT75zTq3PDTJ6U6dZqBo+dD0LL62eAq0dOl8IarVdQawxl10iREkFuJEOP88EYSJSxINEsEggUFsieMYE42YqQ143StXeccru7z4yoiJukcYNVnpBIxCZ/2GkZeutqVVN1KEscIYyXC4wrFnvr5pbir6L1t33RT3Osf/XOpJvptA/64CvN8fMDvbfNPtdz7wh3/7pVvbvd4aNV8hsXjaWVYumULKLBadWDwp8JWhngj6yqcfa+ZHNf72viZ3PNnnhlt7/Isf7HLZeWtsmlS0G9otfbFHHBcgTzKAG4mxEmudJLB5QJmm+pV1QayOCfwYT4WsDSIW1iL+22dqHJmf4uG9k1jjM1MXbJq1zE4IZtqKmUmPzTOSLTMx2+f6zEyu8NVHDA89PclVOwRTLUmrIWk3DM16iPBGBIFGK/f3rYUkkQxGmsEwIjaC7sDQ7VmW1zzOLrW56ZIeL7h8lU/cWqO+rNAycoC0mjjxCSPX4zk7WeO6PT2uu7DHAy89zbEFyV/cMsn8aoOTSwG+kjQ9gZ/JMOnIJSfyTKrgmDy2gthAZASjBIYxhMZCEkMcIdWIbVMDrtrlPo/rL0to1zVx3KTTDRhFPnEKbLfCaufUpKB2ctLdGuPs3tGww5OPfnMmiv0/3L77upVwNPj8dxOT3zWA73/mADu2b1Ef+PBfXvjEk/vb0bBDs6ZTYInUjrOpJnTpcCUdU3jK4seWWiJoKMFACfo6YJB4LIV1bnlogrufHtAMRvz46zvsmInZvW3ATVd00cK1iAnh5IrLSrpaaWtLzI3LkCrhPHNLDDLmqSOSB/dpvnh/i6eOtwjjBi2tmKtbppuWqYZ1PnhbMz2hmZkUbJmO2TY3YOvcCnc8OeK9X9zE1knNXBvaTUW7KWg1YurBiLufUQxDjdd0oLJWEMaSmlZcc/GA+56YdIVPg4TVNY/F1YBzi1P87BvOcXJxifsencOTgIgwkANoFEp6A81Uq8Zku8kLLu7z0qv6/PDLF9h3wvCl+2vcv6/OM4ebxEIzGin6kUIJmZc/QBZ4pjkBa4iNxRqDJxIm/JAaES+4tsf5W4fsmI1412tH1H1Js+4Rhg06XT9dSXVKOCr32t0h88M5XK4sIk5Eqv09zs736T10d/vU6fkLX/qqt6ujRw4lu8//7nTuf1cAvm/fXjbNzfgPPfTQT3gq+d1hf4WJtl/VeNISJ65XUknXkaKVY3AdgycFnrEEsaWmBI1EMDIwTDwGiUc/qdHtJvyXT0xh44jNc0MuP2/IzETM214x4LxNIVEkUr0tocTcpPpTSoOQgk/fXufxQ02E1hw73eDUuQa1umIiEEw2Le2aoV2DVl0w0VC0W4qplmZmEmYnYzbPDNm+aY3ErvLpb7UZ9JpctMPSbihaDUmrbmjVYjwv5Kv31Rj1Jd4m1y2aSZRmXfG6Gwbc+YihN5L0Bglrfc1qV3N2qcFl57d424vXePipBseWWyhpgCjVyx5RohhFLjHTG2o6PZ9WvUGzPuKyHUNuvGTIifkOR8+sor2Exw5r/vqbDYRyhWuMzx+0BjBgLVGYsGtzzDteMWC2nXDJLsvmGUhij1HYIo49VtY84kgRJTqNgxRR5FbSKFZpTCTTWp/M3RJpvEQlRkqMZPXMCkEr+d1HH3m4v2Pnrg/t37c3vOTSy/5hAPzUyZMsLi5cfOrUqT967NGHZC1w05iSxJIYi0kEsbFpiSsk0gWakRHo2OnEKLF4CcRKECSWmnEXRGgsYSIYGckokYTGIzKw0GvzzccNloTP3e9GNmBNemRZvNQiE1lFokQqRRxppNF4WtIK4Pw5S9MzNAJDI4BGIGjWJa26k0MTLclUG2YmYuamRmyb65Kwwn/7mxp3PbGJPTMw1UjZuyFp1WMa9ZBmY0C93iBQEiVTDY676KPIYzgQDEYJ3ZGiNzR0B8a1zDV9Tp6b4EWXj/jFt5/j9/5ac3w1QAiDtREmsUSxRxhJhiNXxtoaaJo1n0a9RiNoUAsiWvWQ518U4nsR118U865X9tEqTpNAxtXbl0V5KumMkQghCTwF+AxHmqUV7ep2kizmSY9YFjFQnB6JA3cO7ETkyaX8fpKCPL2NYssDDzwo41j+Ub/f/9ZoNHryu4HN/58Bfustn6PdUvUjRw6+Zf8zB0Xga4wRRIlxmcPEsbc0kEiBkpZYWVQCKoFEuYhdJ673Mc4i+iSN6rPI3ojisRGERhJbSWI0kQlIUtur/JVnKQVoIVymUkGtbqlpS00lBB4EGmq+pR4I6r6kUZc0atoBvCmYbBmm2zEzkyM2TffYtmmJ937R8LFbNrNzUjHbMrSbilZD0WxAo57QqkecWTIcOhNQ890FDVmln2AYas7fYtgyO2Rt6DMY2pTFJatdTateo9WY5F2vnOfwmbO87/Pb0VJjMSQmITaWKHaOxCB0RVH9mqQx1NQDj3qQ0Om6GMP3Epcw8xK0dI0SUrp0vkgPV7oiAJGCXNAxaZWlcXFNkkiMkcSmiHccWLMAP7tfuo1F+rxzZJLEBbKxye47KzdKXMLpkcceE+d3em/Zed6uQ3/96b8ZvO0H3/rcAnxmQvm93vyv9NfO/YpiKBs1SRiDzN+w81dVYkikJVGgEkGSypPYgE7fZJIlH4xNH9v8ueJ+USmXNUVkgVJZcwN5daLz3g1akta0gKcEnrbON9aCWiCp+ZJ6oKjXFK26pNWwTDQTJlsx0+0Rs1N9ztu8xP3PjPjE7duYqgVsbhnaDeHAXZc0a4ZmLabVGHH/fnhsX4ML52yqe4u0+WCkuP4Sy0XnDXjgyUn6I8tgmNAb6BTkHo1anXptkh96yTKPPTPPfXu3gFUYk7hy2NgSRzavJxmMNI2hpV5T1HxD4HsEfkKgDVoneNplh5VyDSNZLIRw7lZGC0Vw7kqITeZImcx+LVmx2eec6uriMTmws8MRWMraSYnE0qxzFEN30Jfi2On/w4ia32g2fhMInzOAj0YDGYWD/3j3Nz/2vw26p/16zSOMHLAiKYjTgDKRlkQ6UCfGolLQJ8qiTXrfiFTOkN9PsoybzTJvFpNm4rJkhbWWUua9suJmqerMtVEyzVgqSkVbLvsX+IpaoKgHgkZd0Kpb2o2EiWbMZGvEzMSAbXMr3Ld/wH/88GaOn5zkglnDZAPadUWzrmjWoFlLqNcifG9IZ+iKxTxlkbJ4ZS7IkkSxT7se0Y8N/bTOuj9M6PYlnbqi0Q2oBS12b4n4jZ/o8B8+Irl372YsCmPdChknMWFsCCPFMFQMAkl9pKj5ksC3BL4i0AbPc36/VlmtjwO4SmWKELbaoJum9m1KIjatZUlSwCemuHVkJHO5kQM8vZ+zdpK6NUmWRU1X7cQQx5YocWUBBw6f9I2s/9K/+Pkf83q9/r9rNht/73T+3xvgJl7B2sFvnjj29X/VXz1SqwcS0go2gUCkCQaVCBIpiJUtNLm0OdiTxGKy+0ZgjM3TyCb3aMEa67rI0xLQ8sEYwItmifQ1CAdupZxdptNWNE9LAt8NAKoFbiRDPbA0a4ZWI6HdiJhohUy3B2ybW+W+fX3+w4dm2X98ml3TzmFp1SXNhnTsXbc0agmNWkSUhHz01hZSKTxpUaKwCY3NlnCPH33NCl97KKQbBvRTgPcGim5P0Qk0NT8g8NpcsjPmP//kEv/+Q4J7ntyMsZLEuLR6FLtCs1FoGNVcuWsQCGqeIPBdZtPXNs/YamWQysVDMi1LzgFepDzd52xTp8WI1G1JA3lTChQtmDy5Rsru5CtukgOaImtqXClFkpYK5Cweuc/5qb1Ha5/87O3/69vf/CpxbnHtVzfP/v0ynX9vgJ86eRBrzQvmT95XNyZEKg+tXHZMAEK6LFqmsTOgJ3l6OAN3Jj/ccyavlSjarxzQhaujyECdnfix15UBPKvByDJ5GXtrndWdSDxPuvoNX1AL3MyTRpDQrDtwt5shk+0Bc5Md7t/X5z9+cJqnjs2yY0ow0yxJk5qmWXP1K/VaTD0I8bwRp5am8JRwlZIi1bekq1EiiWPF1ilLHEesRbW0U8YwGCZ0h5J6X1HzPXyvhqcnuHRHzH/+Zwv82w/AfU9vIjHSATyxRHGSMrlhFBhqoWToq1yCeR54OnWulHS5gDQXIQWuyUQU57BMGtammWCTsnomD9PkUJYtTpLS86aQnLn8TGy+Eid5daetMnniAD4YhXztmw/Wr736ghcoKb8THL+7AL/37lsJQ9X4/Be+5k/WDDVPu5pqZQsmFc4tSZIC6E57OaAbY0k0OdirwM5kiM2BbjM5kt1/ltcmRVFE5RomRA5uJWXaKJHJE6h5EPiGes1SD5x+btQj2o2QyeaA2akODx0Y8u/fP8UTx+bYNqmYaxom6oJWTdKoKRp1Qb3mLg6X6g+5b6+gN/SpqSyp5TR41oTgnANNs6a46You9z/Vph85mTIYJfQHim6gCHyF7/mpfp7ksp2G3/7peX75z+CevZuIjCQyJm2WLnowR74k8I1jb6+oo9cqO0hlSiHjZJrl3QjkWVLIZgBPAZ/kzgsbrrwmjaWMsTmR5QRXArtJbGowuA+3HkiafpcHvvVl/7oXvLrxhS9+pf/G73/9/3yAnzl9nNm5bZN33/G3f9qqxS+JItDSjXjQ0p0JAem8DuH0d7ZsSVLGLq5yo8TGrF0CtMmBXTQFY21Vd2fJJJmCOy0yUjnAQaUVg54G38N1AvlpgVWQUE/lRas+YqI1YKq1xqMHR/z790/x2NFNbJnUzDUME3Vo1gTNuqJRVzRy9k6oBTGtxpA7HvNZ7dSYmirS5BlgTKpNo0SxaUbxyuf1uONB47poQlMCuaTmSWqextM+WteR0nDZTstv/fQ8v/xnlnv2byIy2unX2KZlr47Jg0jm1YW+lmidFmFJgdLZuSF/fdlFmEkVkVWlUSSExg9TujWmdJuvvAW4jdkA2OXnUukCzgSwJuHk2f5LNh8/+oEf+aG3/tzRI8dWd5+/638uwNdWzzDoLf7y6tLRd4p4gXqg0zYpB8Bc92ZLUwp0p7Ozq7y44jP5keQyhJy9K4HkOHOnSM8ycrn2llkFXaG7s4pBrXD1Gdriea6xuOYban5CvRbTqEU0ayNajSHTEx0efmbEr/zZLI8e3symSY9NjYSJhk3BnbJ3TVIPHPvXgphGEBKbEd0wQCiJlzF4rsFFym5pgVjk0fSHrlwgrDGVgXyY0Pcdgwe+dDXxOtuA1nLlbst7fu4c/+ZPDPfs20xkNKNEECYmZXFBLTIEnsX3XO+qTuMOrVyJsJIyPT9pV352WyrMyi/McqwzBu6chErEVAZ3HldljxMKJywHf3GBOBwJbAxHT8xTbxx5570PPHooDKN/+z+VwTvLJ2hPbd917+0fuCoJT9FupfNKMszhQKry7KUoBY4iB3dSqknORqPZLJi0RSBWMEWRlbTlNTMvASgFldlym3boqDSY0jrtDEqLkLLqwZqXpLo5ol4bMdXuM9Hsct/emF997yyPHN7M3IRmrp4wUbO0UnDXa85OzMBdDxJqfky7GbL3qOX2h5v4UuIpkwZxhUeRLd9RooiN5mXPj7jwgh6HjteZa5B2p7vO9f4wZWGt0NpLk2XOu75iF/z2zyzyb//M8K2n5hhGdZcMiy2NtIY78HAg19nqZfLeVqmSfIVTUpQALkogZ51eKUBuqwDPKxSLlXejlblgd0rgtpULxpKSppHsPXgK/5sPXPWr/5+f2XXw8MljF16w47sP8EHvJH4wuXv+5N3/VduFN9V0B195BQDJKtNEDtqKnWRdRtO9abFuScv8YZt72mMuyTq3JGXucXALi1SZLejAoFXK2tria4PnGQLPEPgxNT+mFoQ0aiOmJ/qsdPvc+ST89se38PjBWWZTcE/WLa26oFkTuVfunBfj2Nt3AK8HI8IkYTioUVPuIpOitPSTaVaRBpraaXk9cp3pkSgB3OD7Cb6n8TzppgpILwc4Aq4+X/DbP7fCf/nLmHv2zXC602bYlEwmllZsqaUTBwLPpt5/5qTYnL0zqZIBPH+96Ysu4zxXiOmHkq2qBbirktJVc5bAXgF6Zv0WVY3Z/cxAsAZWe32Onlx5099+7Z7kpTc/7389cPj00Ysu2PZdBnjnCKHXuLG38sRbwt7TNOp1kiQuMXAG7FR+WJkzd24lKZFLEgdqkS5tWcKmKkXKAM9OcVkV5nNTKAdLWbWiLQ0HcmWxnjbpmIkkB3fgp+Ce7rGwMuC3Ptrg8/fOsdibYm5CMldLwV1zuruRBpb1QNIIbMrgTnvXghAIue1Rn5XIZyagUo+NqK5QSeKaH9qB5hXX9rlvf0g3CpjIO9YN/sjVqvvaAVynDdlCugQNFi7dKfm9f7HGl+4b8Jsf3MzJxSkGk5pJX9CKDY0YgsiNXvaVG2jkZYGmFHkQnN2WA/XyhSlE3iuSfz4wJiHLwC7FT6YE/nIeo8LwJdLL3CZjIU4Udz10gJlNm9/SajU/2u0Ojn5XGTyOeijduGjp1Df/ZW/5UWoBJElcDMzJM10ZUAUmya5SWQF0rrXzn80kiC1sqHHWLsuS9ERnzJKlmzMXQGUAVxYtHbBdb6fr7/S9BN+LqfkRgR/Rqg/Qus8djyV84MttvnjXJkLTZlNbMFtzssRZgJlPrtJDpMxdZu8IrUfc/fQk/VCztZG9nnEGz1Y3SRQrap7iBZcNiI0D+CBy3U+jrHN9ZFxwqNPZMKm9J9KA3iKYnRS88+U9WsFpPvjlAXc+PcPZqE6/JmnHlqa2DuQ6jUOUTeOStPhNZudQFLXj0s0WK0Z6VHGRS5VsRAWMafNy91DB0hmjZzkNU2Lv4r7Ik3yxASs037z7KW645uJ/+fYfeNEja93+gb/LSLjvCHAbHuDciS/iBZPbBp19L8UsEvgBSRKjjMBk9dfGlOSJSNm6LEkK9q7IkUxrkyYTKsAuWQ9l+0rYMWmSZeVcxaAb7WbSmu8U3MrVYgRehO9H1LyQRmOI7/f5+C2a3/nzTRxamMYLamxpCaaDhHZgaQbQTDvs64HLdtbShJCrX0nSlcDJk8W1hF7o4yuFL20eYFJ6K9mFndVuhLFH3RuyZXLAar/FIBLpuDUXK3hektp8KrU7lQN4JXB1lY9venGP6y9f4Lf/YsjHvjrHctykH3g0PUlbuxqcQIOvyJshdJb0SVc+mUuVIgFUJpWqWCkDncoKXNHUFW1eBbRLIFEiyCKDnWQ1SFZx4twat9+376XDMNm2sLR64N4nTnLTVd9ej39HgBuTsHnXS3cPVx99b+/s/dRrCcZEJEqiEkmisiKcol4hB3r5vs2yYaIUQBYBpkWUJIkYkyYZuG3BJjKrLy8BXFpUOnqiYO4kBXmMr50kCfwRgTfg6LmY932pyWe/NcPhc1O0Gx7TNZgKElqBTVPvGbhlCm6ZJ4VqqfYOfHfhtJsjPnO35sCxOrV0AlfeLkaB8nyMg3U6PIo1l+6C77++ywe+MkOvoWmns0eCMI0blEFrmY6towRyr8RGblU4b1byq/+0z1Xnn+TPvjjN4bMTLMd1+p6mqQSNFOi+tO7CSV2mfPXLzmtmH+L0eZHptOt98oyYstIJW0iNcUuxrLdzQFdAXgA7sWkhloWh1Xz2W8/wvGsvf+8PvOElr59fXvuOUuXbAnx+KUQGHnv33rZDju7ds6V+nIFsE8eGxGRdNIpEuYqzbNk1acmlLYM7L97J2Ds7spMgchYoWCGjbVvRgRmw3W02StmB27kmGXsneDp2nTs6JghG+HpENwn5o0/5fPBLWzi1NIlRdaYnFNO+ZcI3NFLmbuTpe5nWqaTSJPXOc3D7Lns5ikIOnAzohQFTQeriZEmnzJXIsrC2VJMSadpNzfk7QlQwpBu2GPiCejoSzdfZ+AwnUXTmegj1LMGrYm6iz8++qc9bXnaWD35pjfd9eobFQZOBrlHTioYW1JWrv/fTbh8lRZrdJF0N7cZMzgZyZdxhgWoslYG6RGTjTJ6kpRhJet91F7l+0IFxpdOLx+Y5dOD+Pc+7MN7xwmtectTaAULU/34AP3j8LGcWJ+cOnWx+6r577/Z+9UdHNITOW5Ok1CQqwaTz/UxaWpnr8DJjm4y5S8BOAV8wtsBu+EpsyQ60ObAr8kRmw4ISB3CdoFWC70XU/BDfC+kMQ+5+XPLxW9p8+lszDJMWvu8z4wsmfUPTtzQCS8MvwF0LJEEgCVJp4hJDqTORAtz3XObzyBnLnQ81CCOPoGnXBZj5qlhxmFxLl+dpXnl9l098vcf+k00GNTeaYeRZ/Bi8yOCFBqWk862lQApZDPehOJ+JkcRG0gg0mycH/Jsf6nPZeSM+dkuLB/dOsDBoMlQ+nqepaUFdQpANWMrsVZl2XwlKIK/WrIwXZ5UZPSOocUcse1zobVGwt02BbV3VYWRgZARDA1GSQDIiEH3a9kve5buv/RTMP8/GnYW/N4NfuWdG3nrv/ht/789vnzh4oMnzdvd5x8v70M9mdBviRGGkca1iRpBYmbN5IUeqsiQ/MmCnEqXM4JXCH9ej45g8TymbvNzT6W6LVokDuEpyOaJ1RKcXcdeTgg9/pc0tD0+w3Gkh6zVadcWkZ2n7hoZnafiWuk/K2o6564Gk5itqvqDmk1bomRTchsBz+lvpEc+chFOdmkuspPq2mjgp7C/XBynSpVgShprNbcFFOwc8cTymH3mM0hnffogDn8om62aJGpBjnTnZxZPZkFHi6sPf8coBr71hhW880uUjX23z4N42S90GHenT8zW+clMOAonr4ZRulzoliotUCVtqP6xiZV39yjiTlwjNMCZRIGfu2Dpgh8bJkshYrIkhCWEw4M2vWuYdr1jF631uYiS8G0Xtmq/wbYYHfVuA7z14KlCYPzl09GzzxJkW7/38gJdcvcjc5BCBJRYGKRXGqBTUksRKrJFjwC6xt8l0aAngpRNS4YWKNLGVAn0nS0yquQ1KJm4gfuZmyIiFbswdD2m+fFeLz985wfxaE1Gr4bU82homPNfJU/dIZQfUfZEeMi05TXW3Lwgy9s4ArmN8P6bmh1gbcdvDAcfO1JmdFnjSFNNxN2C7vPw0lRSDkceuzYJXXtvns/eG9CKPQSSoea5f1U8nSxWrlMr9aoSsyBR3yKJRwTi/vR6MeMfLB7z6+iU+960uX7qrwR2Pt5jvNBgIn4Gv0Z5CC+FaCKXES0swlLAoREkaVu3DDci84oIVzC3yADSxhSyJ08eRzbS3mxPv0p4hRCO2zvX56Td12b1Vs7B0ptmuyT+Rw+OXAYO/F8Cf2b+fheUew7UBWM1TBzy++bjmR14TYhKBlE6LJynAbdrNbkpNvzbbgdg6b7zyIYDrndygJrASUJaALYRJ7UA3yzCTI76OqNUihqOE/afg6GnFJ2+d4CsPtplfaYJXQ7c9GkrS8iwtbah7lroHNc+Bu+a5mYSuzFSWDpF+36YgNznIfc+1px06bXjiSACely7ztpSiFxUUlIMwVy8tiBM3zvnK80dcvqPHvlMNBjVBIxYEkWWkSK09k7J35qZkFmShVXKfPYuJjEqnD3gMQ496fcSPvW7EG29a5WsP9firrzc4errGvlMNwtWAONAMtUYq6dL5uHojRcHkuXShCP7XfeVuSgFqx9aidL84TAZqa8AmYGMwMdgIhjGveN6AKy6KUKrGqB+ycOgwVnz7MtpnBfjK0ikRhsN/+Y1bPjb77tevcPtDPY6dMoRCQCshSEZEYYI0CmV0qr3LHe2yFFiWRjggUlBTuh2Ddxap55rPJTWcJDGpPEoIAjdJNU4Szi7Brd/UHDpZ5/b765xaqXPodBOCANXQ1LSiqS1NbZyL4LnB+TXPjWtzIM4OmR4qBTip5k7B7SUEnmNvd2GFHFmAvUcbeLJqD+YShaIePHcUMifFpH2NscfluwZctKnPk4dj+rFHKxKMNPixmwmoSgCXUiCkrDA5VAO3XAYlMu+jjBKPkefTrof86GtGvPiqNU6trHHbAz6HTwR87eEGp5dqJAMPIzWRrxAy2zfJdeVL0ownxdSEjUBeCTQpZ6kztyV9NuultQZIUmAnjsGjBHoJPgbPtzx4wPCVuxW9/sHZf/buH/6Xx46dfM+uXTs2DN+eFeCDxa9gTPLOq3YdaL7k6nl+9A1rfPaOGvsOedx2V41tkwkX7o7wbIwJI4xV6clU60Ge9vlRGuVQtJeNB5a2FLEXrJ1LEZXgBQlRYjl8QvDEYcWt9zd48ojP00fqrI0CRmEAno9qewRK0FDQ0IZ6yQcOdFankZXNurrwIJUlvq/wfZleALbQ3l7iMoue0/k1P8KakHPLkpEN0FriS4su2WxjBJ6DPLHVfscw9hBo5qZDpBrSizz6WjinIyoKxrQylQykFKUoNht2hMilYtZalg1G8hKVj5/oj3y2TIWctzni+ReMGIQDfvxIhyeP+tx6X40njtQ4fLxGFCsIFFYqEJJElrJBeZJiA61SEeeZD5zdmtJtepgkPUEJRAZNwp7dIduuSrh0T8R//0STz93e5shCg82TC03a979Ta/We/yEGHy7+JSZeVcPOQ6I2d5Z2s49XSzi7IPnU1xp84rNNztsZc+UlEa+5YcQrrgnBxnge1JthqrMlGEEcOVbPAskKg5cveUu6q5qbX+JpC8IgpCUKLf2hY/SjJyV/eUtAP1I8+nSNgycCFns+o8QH7YPyUG2FLwV1BQ1lqSncODOVFh4px9q+J1zSowxuT+KnsiTwIfBJXROXMve0wffiNCMaUa+FzK8k3HpPi043YGpCoFMvPiv6Es/GbKYUEBrJaKSYnVG89qYhX3twwPFOk4EnnUzR4MUWL8o869Rjl4mzCynPOpH53zBWl/6GA7qfKBKtiD039iGKPGelehFNP+LFV8a84LIRb37pkGdOSB7b6zEIFR+7tcGRsx4ISX+gSUKVlW9idQbwMcuonL6tABywBpFYhCmkSb2Z4HkGYQ2vuHbEa64fcsUlEbvPi5mowSe/WufkWcVqL2EYD/nCPfvFa190pfo/3/eV+N/+9Pp68Q0BLoRFeRN/VPPOXm39Zc514df/bIKPfqlFP1Is9ARHli33PAGf+nrM3FSCtYZrL454x6uGabcGzE0YrrkypFlLVx4r8hzY+s9c5MN5On3BY49rltYk9Zrk/r0eX/hWjWGkGEaKM2d9jNBE1sMID7RGBBotJb4S1KSllgI7UJZAuclavk49X10wt5/1ZebgVmmPpsjZ2/cMvp8VaCU5e/t+hFIh33xE8dl7WyhfO7utor+fncEzLzxJMsdDMRx6vPHmAZ+/e42P3TZBL67RTHW4l+nwKEvK2LxbSAiZA8z9KVnS+iWAG8fksXZM7mlFrDU6ThzQVYJSbpD+VC3m5ktibrokwooRb3t5n2Hkxrn97bcCHtjrUw8Ei2uKx570WevLVCUJnlWU5ztPuNbAa66JmJ1M8qaHd7xqwDUXRVgLc1OG6UlTrIYWfvyNPZSE3/hTy+LqkP68d/XsZPOPrLU/+3di8LMLK6x5k+210392ySc+Z9VjByZY6vrc9kCdodUQpDoPGFk41/E4t+o+rWeOW77wTXcl2sQyMWW48eqQVt3VAW+Ynixf6qnrsNpTPPiEz1pHIbV0M1GsdswkNG4usAapkVLiSeHALC2BNPjSAcFX4KtiRp8DuSgaHrRrBMgaj8vgdgyfltV6GYMnpSMm0BHWhpxa9AlHNYIJiZ+mvVValVfJYgoK8ipZp3l3ulGEkcdUS7FzNsQXQwZxwCAW1LUbgpnVkGQJLSXL5a0y/1vub2TJNlNkT41JeyYLaRTHSZo3UOlc9pgoTlCRyyVolSBlzI5Zk64YhsvOGxLaAVIbOh3Bg09oVvsSlSuWalBd+aTTYqxmzfCCqyMmpgw2dit7XbmZlZY0dos1cb7iW3xlePfrBpw3G7PQERybH6kJ/+wlv/jjP9b+tz+5vCbU9LcH+OFTy3he5z2/+l8WX37rnS1IJrFSYJQET1CdiFRacrDE1tLJNJWyrK1aznyzWXqLGwG8rN/SD0ekf0+7LbXREoQqghwpUysrA3WadpakG7dmvnHpVqed9Ip06z1ycLu2LoWfgtvX5CWmjsFTFtcGP82Oel5EEEScWDT8xdeaoH03Y1GWEjwV8I2dNgoGdw3EMh+sE0Ye73rtgM/dMeDpcy16iUcjdpvSuipAW3TiqCwnUA72stLFTArJUoFXdpi8FkZrhZe4eSleCnQli6SZqxtP7wuTDg5K0MIibMJsw/B9LzIgkmLzXpHtn7HBZ57XGAkwChPpPE6LI0mEKBkSWbzmVvg4tghpeM0NBoRlNDpHoh9+eTJ6yXuw0bqNf9YB/A8+ehtKCv/pw10SbwqCcTyWMhZ5+qoAeUVrKUvilcC9Ib4zdssAXg1ehJR5C5oS7hrzpCUQrlrQk+6xlqQ1FWn3eFZIpCnNQSHdma3oqi8ALnPZEvg2b2nzfVManBPjpezt6wgpQ46dFSys1RBaE0gq8kSW31bp4y5LhwrwUqcjjD1m2iN2bRmw7+yIQaIZJhAkAi+xeHGqw2NyZ6lIoatKp0L2MTnrNuuiESVpZNCJcbVFOtu+XKXFaglSmXSlMIU1m4JcZH8bNyVLSJu7XhnQMwes/P4zgBfJveI2BzYFsIuFX+S/dxSW3JhokZVTn3W7934ngB89eNydn2hEK9DEiKJopoTr8YwVmZtdkSHfSZaQduWUCuuFQFKkiPMxy8LiiRS0qQTI7ufPpWRflIKSN9j6SjiwV8At3a2fAT0LPlNwZ90/2uQSxdNOn/p+REzEl+6uc26hjjeh8Ms1HGUHhTFFWk5dlwrTsqTPcOQm2L7hhT3ufnzIWlyjrzX12BCm6XQli4KofPtFYSg6h8o5h7J1mM5UsZAo9ze1EcRKoBOZ7mLnanniFOhFMs3kCTYpTSnxZvLtHwtwpzZvvleMLfF51VyoAjqzk6sXaJ7yK9UsWZtJLQvDE2zEoBWAf/gTtzDRqr3ozz995/VnzkRMeUWGyVKeIFUFfFZPkteV8J03XskFSZYsEKCyW2HRkAcXKk0Zu/kmhcZVGbDTgfrZKIQysPM5KArXj7gRwLOAM9PdOpMlNtXb1Vpy34vwvZCzHcPDB+ug/XSgv83T8zmDU2XxjLkKH7jclypzTzyKPK69cMTM5IDOSoN+rGgo8GL3XlTiBiipqAxwHMjzPyTHKjVF2jeZ1g0pQ2IEnhGuKlQZEiWIU5CXi9eycgiZgbwE6qxkQmBSkKeAzjPRRdKuUoxRqV8pPbai1BxSMHr5gs1t0HSilqy1rp/c/JoXnTr0+ru273nDxgDvDyMSY7/PGHNNEkU0PJ22FAlMtvVFCeAZYWen1JQuILPB9SRS+6RsJmVXeZYVK8BRDMofL+HUWW1EWgOelXq65uKsU8XJEpV3rxTAzppvHXunmluT6+3MEnSMXYDby6sTIwQRX/xWwN1PtpCBxpfCzd/OKwiLNrqi4m88mykqhWnOE3eZ4cHQ46YrBnz/i7u874stwiSgl0hqiWUUk65c5ao/k8o5M3ZBPRuTg9Ey7YkUObgTJVHKOEaXMh0tYUqlyOUaIFuAvJJtzpg8W6RL6/142UIJuOP3y8nAchl1LmWyc5bE+IG5Btv9PkF014YMvu/gSaYnm6/94Ce+8U+Pn1qk5rtKNSMpWpByQJf+IFk2qirL8yuwxNhQyMMyuDMAyBIoJEXNQ3m0QcbcbguS7DEpg5O3YVVYPO2G8VQV3G6cwhhzpz2bftre5ums4SAuHREhEX91W5vEBqg8e1kOMIu+xszZqGhwxtr1jHTToZIs2NQIPN7xij4f/dKIVRMxSGoMEoEXk7O4lBYZi7zozNmF4+unpLAmRQnkgkSnYxtUCnJtUcbJlUS5mZJKyTR7LPPS5MKiLFd3FmXMeVNKDnSbf/DrAD4enlnhZPpYEV6eLCyRQwb0aDCPjVf/6ex533f7oHv8a/XWeVWAh2HEYBhe2O329nS7azTrPqTAztg5P0HZH89mk5SWmu+guN2bzpi8JE9yoI+VZ+ZafExzZqAvz/ZQShRaPK24qwy7SYGtlSiclNwOdB33rjHZpsxdBJi6xN6BF/LwQcmB0zWs8lBS4kvn11bqNEoCfNxFyY6806nUHJI5KlHssWdbxOUX9Lj3mTqR8hnEgpoEL7HoWKTyLe3CiVMdjnRyofInRYnFRUkaFaM8spmQWpkU3Gk7m7IlcGe1QDYtE8iYnHz1ECVwI7KJWc/O3hvgvQB6hUjLxWQF0EERDfqEYX+PTUYXGhN9bR2DLy6uMBwMicIBTV8QqLEagizzljmSJUYvn8Tv9LLL0iQHfBnoJXCrvOa7sN0KySJc97wowO2CTJF3i+sc3LIC8PLwH9dtTw7sPFuZM3eCr11ix3UFRVgi/vq2BktLdUSgne9evgjHa1Dyq5sSGxXtWuU67tybNooo0sxOS97+yi4PH2wzSmr0lU89cVo8K2dVkhTc2VphUk+8HA2VssnZ38zkZ2kqVZIOpFf5PHeb33cAl+n7NHnbXNblL4QsmiPGGXysaaVI960vtKtgylYDTZvV8JQuWHcuPfqDmF5viSQe5v8+B/hHPv45lJQsLK3SbrhJVVmvXP5LZNl2Yh17fyf+zvz/Qp6M3ZYBXWbxynixgrFlmcGVKLF4JlckSlcB7ut0AJCXbR2YZji1xctT8Sa9n1QOrVznztPH4FO3tBhJHyVVmr2sXojjGczxS78Sw1R0eKYrFXGiCRLN218z5MNf6fP44TqR8uhLiZ+Y1D0SyMSWzpN17WWivJ6a9G9V9y0qM3liQOcWohttrdKSAJXYYlhnPpdF5Bd0PKbH3edZLpajxOQZyL89VgpHxZ09Yx2jmwqLu3oea537dPrEIRYWFinbhRrgxMnT7Ni+tfEbv/3H5y8vL1H3S+WNpYlD+ViH0gt4Nnt7HbjF+P312vvZJYrIgTM+DlmWGDsLMrOpTVpnm7ym2luNgTtL33tZY7JxM0PyFrGspzNOjwjlhRw4pemGPiidyhM7Vh47fuFWEV4daDTmhafdOEXiR9P0BJdsH/L4gZDEBAyMTy1xNds61eBKuI1cXWIpY0tDFmQWTF4UwWWrss4Hm7rnlHETybQh7SCySFNMCMimayVZd39uABTBZR54jn3eGWg2qs/ZeMBQAfRMZpWbOjJiiGMQkWW6OXv+i1/9s42lxZ/uz8xudQA/c+Ysa2ud1+zeOffLTzz+JPVApjOcLYlwgWZlIItNXe+SXbhusbFjoC6xdwZygcvnlIFQALvoY1QlVlSVoZoZyClqpFUJ1Kq6i7GnSL1wB24H4GIokFeWJ2X2Vmlfpx+y3DX8979psTSoIQLPyRNpK6tKMTjn22vOyjSBbE5MzuDOUYljTbuh+YW3dvnGw22WRj6h1AykxE97KIuRDymDl+vphcmzzxaTgttgKdfpOzbX6YySLEjPwK6kSBncSaIkd1HIZUqhw4t2wkKmZIFnYRVmz9sSNsrnJcdTBuzsfJlsQm8xVCpO90cdRjEz2zf98rGjB+4Kw8HncgZ/6umnCYKAEydOIEWC73lI4bYNkQn5/u7OUSmO8gvamLY3dk8YY7dCg4sC5HJcolQH0+TAlgKpivFjqgRqLSU6lSQ6B3imuU0eVHra5OD2dFZ/UWVvT0X4fsgnb/N46lAdpIeUkiArjS1Zm/ke8embfNZqwhKbm3FmSpncbfLkceWePm968Rof/koNowMG0ieQIk/6KCmISgHdOJOLMpOXArRyTYxRoKxbFbIRfNlsR1XagsZ9BsUsmmIyrevjFLIqT3JnpYyDsccbEkCZzcf6eIsyYJHvBdQfxJw5fYo48YhjtzGEBpDKQ0oPpRRauxl1AMTpEpMP6rF5kuLvJE1KbonDdVaYb9cNlKl4xnlgKQo2zxnyOwFcFgBXpRpqndaleORSxFOFW+KVhgMVmtuxt6fd1KqVjuFvv9lisRNALXVPRCkYexaJQlYjUvnknsW2yyxDI93MmUQRxZqptuIHXt7n83cPWeoFhEozSGRqT4rUvRFFM7YcT6w49s6eMjmbk+tanUlSld6X6eN0/HV23ssgF1JQdN9nQzxT3FT0uBiTK2IDgOd87qy2LGspigqQvAXSZLtKiHR/Hwd2pRS1QBNJJ8n04UOHmJqa2v3AAw/94uryAo2aR5S4CNsqUUgRAdIWYt+WXtO6OLjE1paxDztj6jEGr7B35WSliZMKsKuzv8sdLm64O1VwZzsbZMytSsy9jsGzcRPFyAmtXObyyFHBM8dqGAKE1HlzblE9WI4fRMnVKN587hCWQZ5pyzxlXzgqxrhgE6u5dFfInq1DlvbVsYnvWDxxMkWXXJyCPcuFXqnGzMpoIdWcohR8OiMhi73KsY0y5HmRpORoCVmQUQ5uI9JZKpkmF2NSpdq4nJ+ZChGMdX2NEUIB8nS/n1gQGc3JU/PMbbnkFy+/6gWPHjl86KgWIiGOh1tqgX2tMF0aNY/uIM5PjJLu8slOgNzQPXl2gFeXpeI2nxVCFeRVeSJKzoQoBZsFoB2Dk44CLvvg5SPd0lqVwV0CebpfvZeWhmbsrdLHWkcoFfGle1scWKyDX8gTr2RdVi5Y1o+LWLfA2Wp+IZcM5d3NsjLaUHPBbMgbburzwNMNMB5x4rS4l6TZ3aQqlQrmLEdJKcitLUmUklyR6f007jIyO9y5T9IVQ4qU1U22wtqcmIqET/k+afJHlGRqWaY8S9vbGM7K1mBSmq+TGAgjxfHTi1x4afzawWi0ZRQmR3Wj5myxuamYnZtj9h/3iZOCYVyNiGPy3Dj5dtqkrLvTX/Cs9qCosvl4gJYBWmwA7JzNlSg14ZbAnc4nLLbtYD2wdTEgKB/xpk0K8tjJExVRb4Tcu1/xuW82GQx9aGi0FHiiKk3GX3/5PW8I8BzkJZlixxI+KcijWDPR0rz5ZUO+cnef+/f72KbHIAnwBfmFpvK/X+jgajjnQF6p78AUF5hybJ5Ip8dNibWzoN6kwaU0oqS/RSnQrcZQebBdigvcc2IDoH97QnCvV1TiQCEsSjnpfHI+YWE1YRQa+qMErf0Ofs2SyCUOzy9x9MwsgVcgOAfn2F8vY3z8dW0UUFYBLqpsV3JMyvdzKSIKUEtV2r1BibQ2pQB3AfKsbNaidTFCWaebMGlVBbqXs7U7lHIBpu+HRGHCV+5p8PTxBngeQqoUVOnckFJwKWT1Qx13jbKTVxQS2SJ5UZ7tmM+XKezCMNRcdl7M617Y47GjdUaxTyI9BkbhJ4y9lqK0tMrg7taOvRZUdrEZjBKojCmlwCq3cmd6PF9RJUhTmmVoilVDjgN8PC5hDPh/r0yn+59Ox+RN74hZ7S8SmjXmV4f0+wP0P/3lr6K1Znm1w/ypFltbhumWcxzyIO9ZGPrbsne27Iw9txFzV0GdMXY5wCx2ICikSckqzBk7A3gxOTWXKClzO8a2OVPr/La476XBpVYRgR/y5DHB1+5u0B/40PSQIqscpGQPbpDFLL3PMhVktShZcFMdJD+W8CkVYIWRR6sV8rqbR3z+jiGPHQ5A+wyNxE+1uDJug92yNBAJuTwgGTN1VeHkaEUhXaRj82xVyYJ8k8pUaYpEmzBlNyX9zE3B7OM5jnUAHwP9t2NzMfZAYNOV2jAzEfK2VxpaE7fiy/uxjQS9dm4VIQRJFDPla3xtc51TcrrGWLn0oT2b3s7+l1+1onIFb8jisgT2subOQe70djmbqVRaYZhWFLp2rvS+Ls8HHwN3enjZFNq0wF+r2B06wvMiYpvwxbvq3PlkHWoapGto9kolvJXSWKrnbX0xeImJSpZrbttlzeWpo5IYWQH6aOjx0iv7vOFFfZ46ViOOPaxQDITGS8hfk0gKFi9ewsZMXh5i75Z6Ug1u0scCaUSuw3O/P2P0bLVNGTwf2jkG7krAmbO3zfFRxs2G+BpL98vSz0rhNsQdDCYRQjHoj8Ba9I5p9+KGQ+j2LIGWVYuuMrxmPZDXg7p4oeM6NHsTsgzwUltXeWeBCrArUqWcpi8dagzcqnToYhPUDNBeCdSZc+IcE3erVITvRTx6VPKp21qAD9JDCJV3Eal0I9Vy1rXsCGVnK6snrNhgpSRZwdwlDW6F2xFDpaMf8n3iNdZq3vGKAbfeM+TBQ26SQGQU/USkBV8p6JLMjisBo7i8ILN8x+qOsu+qFPRGpvv5ZEFxpr1lyubC3eafoSkN7JSli78Cbpufo/GkmCi92GcLRIUAKy1KZDtfS0aRJTE+3VEdIXwsBp39UaVcp7nnZWyYsuO6q7AE4o209hiYi3/jXl4RUW+wk4BIWVpkG8mKgh1KbkUF5GlrWrHZlFuyigH4BbgrrF26zRprM6miVIznxURJzO3313niYB08D6QLLn1hS5Njy4GVWBdYjcuTDDy2dCdvgCjViFSqCxOJScdUJ4lmFHpcsWfIS290LD5IHIuPhM/QgE5EEfglmV2YLslJ6SLDlgK3qnWpJFhlkVagLC77aYXLiQhnGedSpRRUFuydfq6mfOGX5rpvkAep6HBRoocxnOWJo9wgF06G4XZb9oVM5Za74MG6X+KlzQH5zlt5VFwGefZns1RwiaUq+qls5ovKG8vtqzHHpLpHzFj9iSDfeyffvThrvq00PBRblyg1Bu7SUPzcPVEJSpcAnkoUX0ccOCP4yFdajCIPGl4qT8hb01R5l+D8wi3YpqJX1umTKtDLMqW8OYCxG2lxTTOQvPt1fb54Z5P9p9zFlxhFP1GuyjBJkz8It7Qn6ViOsZUkK5IrA1zaQovLVKNLY7HSfUZWCgdwU4qVMiY35Vhqg5WtDGhRwkomUzaI2SokKlIPKMMHhcwzRqKVJQgcJowB9Wd//F83N2r6/zp69PilLhiTRclplkDJpIIq+9Iy/15WH5IFh04jV/epVBW5Uf5eNg44vU3HA+fAHTuykQlljzu/1YXudg5KFdzlvXqKYqp09wcd5c0Mng5JZMiHv9Dgo1+bxJ2xGkppGspSVzYdR0He4OyVWuOKTGo5ESUpJsNSCVCLWKKwHbOLVkjSxt+iF1JJi7CGnVtCTi1KHnrCJxZu8oARCiFcKe1GcU/VJBC5JhHlx7YkalKwFxcDhfMDYxo+nf9dAt26o/xvSm5SUf4qKrMMs1wB5X9DMS2t0umTpfATy+Yd12/ZccFLv66PHD0+2e93Xy9FhO/pqqORSoVx/ZSzcnkpEetZPA9IS/eLBEDZPRmrQSmzdqUO3Fa0t8zBUEgSVdLeKt/pobQRlbJjkiSrFMzYO8LTEc+clnziGw3c/BXH3nnnfvb3BZXxwrL0vtcF6NmDHEBj4DDl2pBirmA2wDTJBpsmikSlWjzR/NAr+3z29gZ7T3ogQ6yQDBMPTVovkp3rJEVJkiV+MqiWpFNWioEtmDFn9JSlrZMtme6W1v0Na1J/3KQBamV1rrL5emky9lzG5hTnzkAeZJZ/nxEudpEC4lQBDIYRnbXe65EnJnUUhZgkItBufELxS6up82rn+wYaKgNzBfSi8oKrens8qVPVb5Ua8DSZUN5HptDgxVaB2c5qagzcbiKrSW+dHaiUQWV+t4pRMkal8iRRMV+4q8neA4X2lkI67zvvoGHDD3D8AxAFN1Y0eHG/2oBc8cRLE6l0th+SLFL4YaS57MIRb3xRj0OfCAgTBUKTCM1ACHSS2neZhMykQNkmxBYhsM10uUDZVOPipIm1NtXi6SFskeIXYKQDvslkSskHL4O9vKIU8VjJlGBj0JdJ1aT/RmI3JOAkFgyHMX4QogNPuSmqgcLTsuih3OCXM/7H1gWZYt3310XKWbAp11/ZYhzYY6ydPc5YOwN7xtw50FWZyQvdrbIgMtviRBq0LIbmK5XgeRGHzyj++DNthtIjm6BVdM2nK0i5BrqsJysn5dm/8kxcnia3lWKi6raMMq8Vz8CdGE2ceARJzM+/pcff3N7g0GkNKgKjiYTHQAhUUgRlshxsjoE88+YtoLMLLn1OWpeet9iUtTNP3FTY3KZ/x0iBsMXqsd5MyLT0uBZfD3RYf2FkzyWIvP00qw+0QBxLwkgSxRLt+24uSM2XSJXVKGwk7gvvez3Yx0BcYvN1wYVk7E2PNTdkwB9j7SyRUgW3KSSKrDK4rvjbKZgrfnfpkI7FPR2yFhre9/k2p+YDUDq1BmUqT2zF987vj31Q61atbwf0slTJGw/KPZpZCr+YvZ43Q0hFEmu2z4346Td1+e2P+HQiFxBYKxkZ5WzDJHsdFhJBobALkBf/d99R6VWYzm8qbmXh+EhpCwa3pc8uxY/NGfxZAs6N5InYAOAVVTCuGtxtIgrSCEMYRlCLQKusV9FTSOmmH5ULUXJQl/63/gVkZbClq6wE6uzqqnqiGzN3BuyCtYsprTl7pwX3BaBLTK5NyugmlyZOjpiSVMkYO85vtYrQQcSnvxjw3r9uMzKekydC5fIkbyoes8Qqujtfycqw3hjitiDQklVYBn2Wsrdum0ZTKqVNXZXYaGo65mff1uOZYz4f/ILT4qBIhGRoXMApE3IGLwqwsg+rSN2X7UoH6kKyWJuyuSiCP0c6tiipLp0bW/pbGaBNRnIZ65Y193eQKhvlYcYXI2MhjCGOIU5AZy6HVjibLmWS8i8pfpGo/NLqFSUqL6rywctiGSlfpesLc+yYRLGlIDPdoru8ZaAquw6mJFUyMJeYXBbVgbnuzm/drMHlFfibbzRYGWXgdgD3pNPeWlTlSWXVKZc1jKuU0nksa+0M5JlVWKnqG9960YzViUuJMgpjNHGimfAT3vKqPp+9q8FSV4GMwCginB4fry6sXnLPzuQuD1QkhbL6lCzYtCmL54BOfXJj2WClTktirVtNjCwP0LcbYunZQJ1jU5RObArwOLbpvBeLzicQCYoxB5W3WAVzztjPtmw8i2561oCs3PYkCp1dAMdWtHdhpa0PKrPhNAW4k0qAmQWZ2T43usTeXiPmi9+scf8TdUxJe7umhkyeVOtN8tas8kmv6PHiexuTeMqeZfvL2koJrSkBPw86rUTZwhePEw9tYl5wZcj339DnL77kgwpBSKwQjIxGCeG2ICl7zqVJBxUaLPngKuuRsO7857tSy1KhmHTZxApzp7kVW2pJNBmJZWydlYOM1YhvKE1KwN+I0ctftsQiejRy+6Iniet6YRy83+a+2OD5calSiZYzFpeF3ZM7J7IAzHgrVBnYhYuSPlYWnY4YkzJ1TKRNdXVJkmSOiSxJFOnck8CLOHRc8pEvtjjb9d1+19INeleCYseGsXhhne4uu0YbsPe6D4KCvave8NhWi9kWjJWue7d/jrt1259sbib82Pf3uOuJgEPnJIgIUBgkQyFLm0iloEpBnduY5QuuzOd5NjP9HMpsLtz9DMyZbMlWZve9bPZ7JlOK7Goh6TIGLwfC5XhOAMWQ0fz0ZrI5x6DLM/i+IAgEOvtmebktLwflK6n6SzdYOsaBvI7Bx4b75AFnqfItr68uMbfKAD8G8nxG9vj9JNfeGYvrbBywilEyQae2oO9HjBLDn36yzZ0P191VLrXT3lK6rh1RzF/JX2u2soyvVmNMXj6H5c9mfQazcC2KPd7L5bPlMlrXbmYyRyUxxFKjYs1Lnx/yM+9Y4z/+qc8oli4DZSRx6qpII0qvLU1zl0c4WNeSRun1uceiFBuk3fXW1YO4AFPkF4BN2VrazCK0udNCBQsbsHYK/vL5y8t9n410S91AUmYMLsAKdJ5VTDNs495kFeXjUqX04Y0zNyVAw7O4J+XBPhuwd2n/ebmRPJE27/Z222abkkQpjf3NdHc64zoPLmWM58fc9qDHZ+9sMAo9qOtce+fsnQe2VI51zC2q50aQMdLG9F0ubCpmYZfBDVZlVYbVWvHESKRxUiUDehxr6o2Yt7x0wC13Drj1QeVsQyQISSQ0g4x8yJivKMgCx8LlObCFXViqS0mZ2UrXDCNE8djarEjP5i6KFI7pTZ6occxQnmZW1tXrtHcO4pyrN4hz3IXh8gjZbslZkJnPzq6y0biA3+iDKsuU4oXZKnuXouayPMkYuxJUZmCXJcci07/5furuca6980moBbC1GgO6KsCtU3D7XsRqz/LFuxrsP1Nz0kS4kliRaW9BaYKUXQfuXLLk50KUgP5t9El2anO2KWnxcakylvgZrxeXUiFNgjSaaKS5eEvE97+4x/17fTphmn41To+HKLJ9ICSpN77h4A+nsVXZ6ZHObVFpS1vB5plUSRM+Iq0hz4Fe7eTJ5g6W47ACX+VGjY0wV/Kwx2IIIdJkU2JIEoNJLDrwcHtA+m4gznf+SIrLqgB2cWKeLbgUlLJ/ZPKkmiwpAswC2AW4Mx+8CC5lPpjdVhi7ElBmiZyyiyJdp7wh4c+/VOe9n2lhhXa+d4W9KbR3xRpcD/ScUcqa8NkwXpIlFZas6O+Myde3smVbNhpjMInESOeLK2mIEg+pDD/75j4HT3u897OaKC5AbhCMhESZbJBEtvyXQJ6DOtMVkE5+y9kybxvLgC4ckGX2z0QqVWwxYoI0BrC5VHUnx9jicWUqbeUcjgu88sVYxWIcJ4SRIYwM2vcSAs9QDwxK28q/q84dXPc7K1bNei1F5aot2G5szFhZqpQ87ozZi5l4qfc95pjIDNxqTJ6M7Vmv0r1nnAaP8PyIg2cln729Sa/nQV2tZ++85ru0uogiwVORY2P34TsnefJzPF6fQqbFRcU9sWnTQQ50mQFdYqTT4lJqoiih1Yx588v6fOVbdQ6eSZMKbkA1iRAMUi9MCBAmBbctwG5zUKduCWnyh2zByZyULHXv2NvNeBcleVIFui1LupJEyRh4nfdNdiHYsfNmq+cwfY1CQBgmDEcJozBBBzWfYKgJPJcRLAKe0hDEMcYpr2brM57rQQ0piGUBfFkCvBwL3rJhjqrE4uXEjhTlweyZc2Iq223IkiyRMnVMUibXOmYUGW65r8k3Hqm74eDScwAfY++syEsJUQ2GyV5/Nf2cIVx8J2SP81EZ6KXDmDR7mDkp6VYkTnebQqYYSSIkKpEYoYhGmlddE/KqFww48WWPkZGprSHd9o5ohgKkKW1bJURuYGepHzX2gee14oIc+AhRkL11n6kVaeBZAXr6t2QZI6Um6TyWHEsmlsFcwmNBDCXnx0IUW6TSeJ6Pntu0YzWJh19pNfU/McbkHd75xrOUTnhlMciAXRj0zxpkjrN3DuYioCzPll7H2jnQi7LRqnNS1d8qT78npfsxUrpOHenH3PGgz+98aILE6sI5kQohpNsHSBRp+SqDlx2fjdn775DELH1aZQelmrIvyxVDNvUqLcYShaOSa3LpvHFhNHFs8P2EX/mJNfaf1NzxgMT4IoWsewORUQwoCypbkiUbaPLcC09X2+z1pqttpsNFegEYivyKLX3+IimAna3eGVM7HNl1LD52ykp1POSbM7jg0qKUR7PV+sru3TtX1RtevrkXDc4d8rT9GWujoqgpazfK/nC50q90lNPsldS6IO2fHCtzVaXAsVIZmAG2bAGWEjmlgDIvqHoWcJeliq4kdFyv5cllwe98ZIK7Hmm6TXmkn5bEemgpqEu3W6Lb5Mqur92uHGkDdD4kpzqMKKt5l2qsYXrdeUuzofk5HMvqlsmgNAdQjEu98vcszM7EBNpy/+M+qwM5ttTIfIp4UXFIbrmJdfD6uyxLYh0IC7Jdv3V7WSmMxyVYsUHgna5qxrr97fORz5Y4gTAyCOVz4uTij9374JP7dasWIqVgpBKS2Lj9ThJLItIsWnpBmzGdWH6747UDldak7MRnS1NZmlRclPK2GFVpIjfQ3NkOAxseqhxYpqWw6f3ET/jI5yf43Deb2JoCoRw6hUZIWem3LPobv03HfC5ZMm2y4Wf+bUOkDQEx1m0/3uFj0vmBNmVua01RoyIk0igSoZGDhLe8fMDThz3e835NGMQlu0tgjceItLsqy68nLltjsQUo05XakmY30y6ErGvMZrIlLc+1aXlAJu0z61CINKwtS5M0xs3PaS5V7LpTWc4fmLwwzQ0NTUxah4JllBistehh6DpAktiBxhPGddwkEKftRybbcGdsZFvhHFR193qQV0eKVZ0Tu+5+BeyZ3y1SgJe0d4XBZVJyUsrgTpCl2pNbHwj40JebDJPMF82swTRrKWxFe2+Ymi8Dvfy+10m078x+NkVA5j2vy2hi15XQWlnKbMqSsyKUK8ySaXGWNCRGE3iGn3hDj3se87n1EWcXZt44UmCsZmTSmZQZyMetw1S65FJKCBQ2y6cUIJdOKohUc5vS+SuADqLsnJTPV2Uw0BiD5jrbvQ6TMncxuN89FyhB4DmC1t2Bq1CQuG4XIUwaeDgTKaH45ZlXm7PSBsxddVRKLE31Ki4vq873LtmDZXCLYmcvtU6Hm6oHPs7eMikCTB3RH8FvfmCCw6cCrC52S65o70wiPYscW6e5y8+VgTy+vG0A8spyXFqiMxAVxVdlPb6+NsXItOJQlllcIRKDEBoZGi7YHvHvfrLDPb8U0B2mb8bI/HUlaIY2fY1ZcbcpQG4lYFJQW3KHRaUBZQbszFERaU1Krs1LJJABXUiQNisVEAWLl1a9dUFmerfYesUdcUy6YZprJawH7vt6y+YJhFAkUYdktIxFEcaqVOjj3INswaikn0vLyLjnLcrAHgsii0CzFGBuKFFMyQcv9SWmbJ4zd8U1Ke3Om3reWkfECfzhp1s8sq/mPG+ZMXfhnHiiKkuUqLJ2OQYZZ24y9hHF0M2N+Hodk485J0UDRMkdsCJfjivVhsIxeB50GulAnkiMSI8klSrGcO2lEb/wgx3+6ycnCZOUxSGPChMUI5Np8bSopATyXKKIIsuJSJM+psTmWeta+limzC8R+dBYUbqOqlJF5JLFprdliVc1Ptw5iRMIY0sYQ5RYNm9uMTHVJopi9DXXvxalW3SXH2b+yF5GcYtOL3BDxROVfw65jZR9RJXp/aUXSZEMKTO1oAiICu1d2IFCVGVJAfjq/owFeyeFLi8ndSpHGljWEr5+X8AHP92iM/CcB5h63qRNus45KbKW5YKhsg4vrM4NZhBWwjKRPxbjgB5j7XV4rwC9AHmVtdOpsJkkKSeBhLMRE6mQ1rh6lVjRrhl+6m19Hnoq4JZ7FTRi8sIRACmIjWRIFlMUILe40lhy29J53mmFgWPpTMIY9yuVKBYCWWJ0MQb0dU5brpJErpae1XZNmXwYwepQstRJeOtbbuDVL72K5ZUe2vMtUklqtSGt9jxqaBmMFNZ46fTO8gJrGZclxXZxVWDnjJ1ZRXJ9pJ8PTZfFZkayJEkKmVLssOsAnlT9bumsQJnvq+4CSyljpI7Zd1Tzx59qc3DJd23wqd/tbmXB3qWG5wrIN5InFWky1pC9Xo2UT2IlsZODfEx3F35vqSx13E2wGxRiWZNvKisyqSIsQmpkZNkzHfPzb+9y9KzmwCmB1WWBJUB6JCnIGQM5aRJIZQBINbgkBTPp9n+Z9VcCbuZA2pzMRLboFdKlDPQUbza/2ArcFfeLqbZhIlgOE1aHAwwGpRVCC/SRs5pWU/HokzX++gttzpvzuHKHwhpNGIsqmNfJkaorUpYn1YCsKkXKcmU8sBQZK1eeL+luZdLH48mcAuhKJUgZ4wcxZzuC33x/m8/e1sB6qkjHp9JkI/Yu6r7Xp+TX1eqI8ZNeWlJzHV4FfIW1x8CePbe+JqWswzNAlwPQrPPHMbgU2f00+EwMMQZPOlelM5L88u8pzq0KCEShJ6zAonMmL+RJNmE4vZXOj1epPCmYPHVQcllSvE1BFoCW2Pw7Ad26b2bOC6WfcxarI5dtNcvLXrDGdHOBF1/dZ9u0YbIWo+eXGyivfXbv4cmvPbr3ytce9jokVwdsn9P4XlalVzDbRuBdD/gyWxdMXc5aFuAuOyljUqTM5iIFdxZcioytTcUSlNKB29MxIYYv3N3k6w800lqTzBKUKYNn7F3sGlyeN1h2S9aVxZaYpnzRjzN3Dv71jlfVIy4DmsIztqao0itXGsrUTcn0eCIEQqSJn9RZcS2IKn1OIqyrOAy05TU3DHnjC/t89CvSEVmZySUO5FYyNOnaLcoypazJ3chmmzJ74aqIlLFTli/LudL1JMaBnh22+Nnyac3OZ5Yf0ErQ0ortmyQ3X9niot3TbN5d/9rkTO1sNOqjPvje3+e6625YnWqwurkd/ogdLdFs1vB0tlXFxkmdag1JOXlj83EOeW2JLNWUiPHETlY4Va0zkRUr0FbAXWZux9ZFxlJKN+ckkYbP31nnP/3ZBEfOBmkTQ5HQQWqEFAQSatINstfpGLhstniRzClGwzn7sBiAlE+5FSClJN9WRVSHH7nlVOb/Lt9uUFYfV89vtcqysiLm33dlojJLf6+bVmArq4oQgLFMtxMuuzDmxLziwHHtEj751VigMbP6ivEX4z+zkXYY12TVesXMrLF2o+teVH6FGP9NQlTA7WlBoy5p1D0GA4msXUxiZ//3E8eO3rfrwpe5PXq8NOPXqAmmJjzqQVbjW0rPl7R1DupSwFhNwa+XIZXHspyeL2RI1f82lecLGZLVlpTAnQaUmSXoeQlHFiUf/EyT/YcCaKlckrjEjtPemTTJ+ywpgSYDUEWSlQ6Zfabj2b/1n3fxuHBRNkr2ONY2YwmfwkWRuYNQTd9L4caWSWFzb1zkzC5TLBo39cpaEqOJRpZL90T8xFu6PPCEz9GF0lKVB51OhsQIhsIFl6Qj3KyxRXBZ0uV5jUpV9aQ14KkJkUqVbAXMVrA8Vkvtutyuz/5Nislxi9oaGA4tiwYWVy31dkIUJkC6CdXVV11OENSo+YLB2imCwI0+yzYycu7IRiWtZdCW5YpdJ0+qNScl37t0v2wDipLXnSd5Up0tU5BLWSqmEpklGLPcFfz+R9vc/kitqBLMMpYpuJUk3aG4PAa5CJhVCcwb2YIbAX/cAv+7fpWL2ipVhRVLLJMsDlC5TBEl8JcynVJY12Bg3Pk3QrnHQiJQGGFI+oaXXzPiX7xrjf/8gUlWBqX136ZAl2CNJpbpaOf0ljSbaYX7+cwmVLJ4jaU9r/LXXtbf66RLCfhkqa90ki0AxpGnSQd/QtpkbCyDYUwUCyamdrD7gssZDIbZNQpbtmzh0ksvuUXaxd/ZMudR993mTOX9KYulstygUNSUVFyP/LbQ0+X67XJnTvF9Z/fJErC1XF8dKHMGz8BdZCuVihkKy59+psn7P92iG3mukCpj7tQ1cbP7CuekUlSVATdj83KMUWbqDcFcDBz9uyJ9vLs+B3L2vbLbUrILCxelbCGOT6Z15bS2tFuEMSrtCHJ6vKXhZ97W5Wff0qVuYjAJ2Ow2AhODjbHGElsYGQgNhEYQGUFsBZFxOw4nVhDn3TRuIldsqGQa3ZHtcZlmH22RhSxvK+62OrfpDn/FUamTN5Y4dtuVDCPJoaPnfuf8Cy66ZXZucwHwrVu38qW/+e2+ZvFIuyXz4ZWqHOzlTQiss/HGa0aqrWWm8lwZ+HK8tUyUgsgU1DmgVZLKlSyRUwBdppag1YanD/n85S0N1qJ0MiYZsDPfWyJIpUl+lC9cW7B3CeyV+6XlEbH+eUr/5u+C9KJdbcwypBgyme1lWVwE5X0jM1DL6uN81IRIrUNVArnCGkUcKVra8sOv6XHZRSNkEuegroI9gQzkKdCjFNxxCmx3jINa5O1jOYht8b2sQtJY9zNm/Ei3r8wHIJUeF2l6B/IoURw6vnDkX/7r/9zfsmVLAXCAy573Rq6+/q1MzlxMFBknJbJAURXBVoWp1XpA58VQqgzqKnPnwaMog9nm9dxy7MgylrKcpRxLxWsv4anDHr/w21M8cSDAerKQJTmDy5ItaPNBPuM7NWxkDW4kUyqJnVIgVviEf0e5Yqt3q774uF1YLmcubeJa6tvMBwZZmfvjtjQZyxiVjn9TJFZjQsXVF0b80S+vcsWeEURJAfL8iFKwW2LjQD7MmTwFdgrSpAT4gs2z75VYO38scvCXa0qqNSYbg9wkNmV6w3XXXMrP/rO38+P/9J/k5zMHeFCfJqjPgKy7mlrprDPnKpScjmxc2rpKv1LFX5ZKH0/YVABrctlSZu1KXUmpcKoaYCa5HejAbehayZ98psmjewMSVWJtUdSbQMkWrIC6XNFYsPL43MF1YyEqYC9Y/duUn2woTyoYL2Uxx1l9PbOvlyzl/TazybSZPLFjk7Gcheh2jhCJ5NrLRvzzN/doycTlvzdicRuDNa5yL2XzyAjC9DY2pEBPt2CxY0z+LCA2JZAbM8bmppAj+b9PCgZ39WGWyXadrZtn2bJ5Jj+vOrvjeRo/8A9OtOuHpqcaeyQDtBZptwwlDb1BUVQeUJpqAVUlwCy5KXI80Cy0d+6Fiw1kShZcijSoFAnaS+gb+OBnm3zq601GGZjHmBvhLLq8oOpZ2PvbVgqKAtjVZI4oJMs6ZH8neTLO3kV56rgON5CPMi7AXZYsFmOcHy7TJJCwApHWqAgrXRWfte6+sYjMWUksvrC8/VV99h7TfPAzLXoR7oSVgso8usNtVptlJ/0ssBQCgwskXaq+6IRSmcsibMkHJ+/rlGRDhaq1LHkhV+rQ5DsgZ+ctTJhsN/D8+iHf9w+GYbSewTdv3sbxg/d8bW6m8bGtm6fSLayL8cNuEuvYyLRMopRnkowHkmq9lMlBKzaQIxtqcFMBd87eOqYbwvs/1+T/fH+b+SUvr+0u15q4Q5TY267LVlazslVHRTIG9vLjMdaufE98e3BnqC4XWuXPVR6KlNHH2bqUss8Ym6pkKTsrVV2uKlsVuhFwii0zhl/7yQ7/7M1dWkHsqNJmujwpGN0mYI2bBWiy4FMQ2aoWX8fmGz3OKgJLwelGMqX4OSeT4sSNaesPE5oTM+ig8bEvf+3Or23fvm09gwP4nsbzal/yPd7UqKlrhEjynQeKGSVjLCworL0x9s5YuuKFV+zBLCVfZm5bAn+yIbiz/kpZs3zuSw1+631tzi574KsN2LuasfREkcDJnJOK5w3P4n2LCnjHmxjcU+I7EfZ3ZPPy3MJCqqScvmHqvsh2GivcNtqiALawhScuRMbapLcytX8di2M0UWjZOpXwaz+1xtKa5GNfbEEtY3BRMHl2ogCLJEpfvysES+u1ESjzbGxOOk6iYPRyhrNcYmttUZJrbPpvU2vUTWTTJEY8WqvVvpQk1XMqyw8uvvJVHNx3y13WDh/0fVHZv90bHyRfYexycDnGyuW6kQozJ+uZW5hK8Fj43lVwS5mgAsPBk5q/+GKTMwt+AW4xdkiJSDV35pzoNDEx3qlTboTOwUxVlhRNHqLioOQoL99+BzB/2++XvG9TliXlCyG/zdh63FUpB55FwJk5LmUWT4xK9boiDiVbZxPe9X199uwMISzp74qVWDC5tZbIwtDCyAhGefA55qzk9mEalJZsw0rwmTM6xc8nDtCRcXFwFLsGY4ui1w8f/Ku/ufWut7/ltZXzqMdP7PTMDoSQrC52SeJ+XswioChxrVQIVvX0RhnMLGlTTfqY0r8dZ+6CwZVMEPn9tPXMNxw6rfk//miS2x6quQbKitddlSZakI+B0HK91t5omE/lZ8qDi8ZlCtmgH1Fi8o0cl5SNMnDbMbZO9SdjAC4el/e+sbmbItOaaGHdxlAbFWUJnCQQRqZJIokwLrspTMbilsQql0zBYoaWV1435Dd+ocO//6MJDp/xwStdmut0ubNkjYVQOLLPSmhNyuYGUMaxuQG3iVVKNi6+SMe/pUmiLPGT1YWbNE0vbEFC1lraEzUuvOA8jDHriGIdwC+6/FUIqcOjTy+yurSIyHKl2QfGeLby2dLyRfHUxhfBxsAWmRcuDGIM3FImKM9wdF7zH/5kgk/d0iAU6W5UOWOXA0vXl6RFuc57g+23hV0nSdgA876UJQAALJZJREFUnDmAy07JmPZ+1q/yN8foOwO8YAMtnpboVUcjVOvEyUBfyWwWjRDSOG1uhJMwQog0E5oB3qazUcglS2ygpmPe8eo+iYF//4cTHJsPUpCnbygHeXYCLAiFQRClTxsj8GTarCHSPXXSAL+QIkVmM5M2MkkbJUrBqEjrvETphCYJbNm6lXe89bVhFCf8u1/6DgBvtGZRXvuXpjftujweHX55NOpTjHxJP3ieHdhVMJsqi28AfilMAfT8fpLejjG3Nhxb0PzKH0zw6VsbhDLdek1sfBQZy2qVYF5zMi5NGAs22QDsJb973FWpZnv+x77GcF2pC1+ftk+hmPUmpgw+7pXn+rukw6WQpRVAZv/Y1X8YEELlDcVxbPF0wg+/boBW8Kt/MMmxBb8Ch+rFmn3DDYWL028nxn0OBotOX2/GxiqtDR8vT7YiS/m7fyflegJJjKXZbHHpxRd886I9O39paaW77rzK8Se0P8HSic+t1YJgf+CLxPNMsWlTpf/RjrkmGw2+HMt0irLll4w5JBlzjw3rScEtVMLpZcmv/eEEn75lA3Cv09/upHnSsbcusfe6wUOZW1KSL1AuvF+vxze2um3lZ/5H0D0eYI774sWTqQ1X0tt5lznVIfq25KSUJUtSclQqPrnN/HKX6TRWEccSncDbXz3gP/1Ch63TkRPI1pR0eKbFx4+0091kTovInZbIOoclKunzOE39F1nR9LDCdZiVnouMCw1QXhI0Gvv/+C9uWZudbq87tfrZznkcrf2C9po3mnj12iQtpE8X0ZKNZp9dfuT3Tcp8Zp1cEZhCm+cBaSFLsiIqqQyxJ3jf51t86qspuOW45s5uZQFusT5juXFQWZJfbKC3s8q2knuykb4WJS33P4jvajZzXVLHVtyTcgIoswQzeVPYiDYd91E4KaQ6XEAqTUiZO/28Up88MThWR7kKwMSiMbzjdX32H9H8zgfbxOA27cHmq4AT9qZEMoBwI/cjIAFiwEOgbfGZGJxlqIRNN5RNd7bG5vPGnQ4XeRyTJC5gnWg3Hl9a6f3CzFRrw3MrN3py9rw3o+QgmZq7wNaDZKwepZx9rM4FHGdzx9I273SvsHXK1EqUH1fBLVNwowVfu6vOJ77WYCSzMsey1i7d4tLxSm4gTYRbPJWoam9JUVS2TneX2HrMSKkAOvuBdWWyfxdwl36wIlNKrL7ONUGQD8ap/Fw6/SpP45c8clt1WopbWclw2jydn7K50ZhEEhjLO1/b59UvHCDyaqjk2xyFy0KaWo9Tz3xkCrclNKSsLopsaAJxIoo0/1jBVWxhYDWXXX6RXR3EyS+8+7Ubnt9nZfCpra/BxP1P9Fb2XhL2VpoZq+Uedp59LLslJt27cD17V5ndlH6HKT0ulcIKp7mFhr+9s8Yv/cEETx8OXI2rfBZLsCRNfLFemlTdkbF2NEpNBRXM/n/b+9JwO6oy3XetVVV73vvMJ9PhZDiZIIQwE4ag4kAaQRqjra23edpuW68TqI3Xob167VYBn3YWr94GRdv2oiLI4BURLgIyywwhIQlkIglJznz2VFVr3R9rrVqratc5OQkJAW6v59ln71279j41vPXV+73fsOJT4ekVWhKtUkC9T3Anwpit9IQYDRy2Y5nQxHWUT8Qtvf3MY3wcMrqpsh+5ahMSKSxCRCAnansIERAhsGy+j69fPIpLGPDbu/NKPEnbU6Hsp5ACtjo3AlSG4dVxYwJwVH4QVeeLS2kDHAKMqwioOirah8owgd7ezok1q0+6pljI4mufQuqgmGQ42Xli+7b13/bZiXurNUd665Zz2NIuTU0PYlo5hDC5JDzGuWOhd6I/C8xyIpv4EAe44a4cPv3dMtY+b4Gb6CzBZDhetj5zibxyo5kZFEAZkqCegm6kqSpIWvD4IIkXU2rdYorlyeQra1nkgCYuiFjIHohFMWPToFhFyhHn1hp5NHubWR6qRK1QJWjxJsXSfh+XfWQUbz2jKk0yT7PcOvIZJN4b3ZyrSGeDA1UO1DlBzdLQfa1/K/1cxwMoAbIOx3lnDOx94vGnvr1i8axJD/WkFhwAyh1Hw2+OYGzP/YAYtSiK6cetLbUtGUbWGyK6KGJ8nfC4FVeSIFWvJS0Bbrg7h89+r4ynNnpAJj1CGb1GPKDjpHBu019RJDj2FGC3MZuw3CnJgxbap8/DReL0RNY6+tzw8KhZfrSebc2NJi5nIk5ac6IsNI9HOVWYkKgrhQiqfkconV2Y3n0A0BRYNs/HVz48CiGAmyNLrnaGKEMkoEi+dip0h1tzMoSgSikhumMcfCKtukeAkAi42oJTObtbyAWKbUWctGIRujrKUx7bKQFeKM9sVIdHPliqzP7lxPBwgURZgmGMY0dgVQ4jEAc1ib3nCQc0DnBCBOAQ/PaeLD7znTKefl5FKVXCVBzglmNJjWMZA3dktU1Jml3Q0GK1EX+OlUfZYEe88EFfAfG3+4a4LsFqoSewVBXNEyLp0KYfNkc3ioqx8iKiJTJcb4FdaeLEsuzgVJ4DQUCUjEhUFT3net8pSDPE0fN8XPbRUXAB/J97ckYLB4w2Dm6Ards3EyWea6AroVuAIiRASAgCAgQE8AhRXbUkjeQEIIJjYN6cCQ76wf4jZjQOGODcH+SFtgUPEkpGa2PrC4zWZWsGq9FOnEObBzQXRxzoUMAGjO4tvx+CMoBTgt/dl8Ul3ypj7XM6BJ8EN008JLh1lY5dyNCqnCQLeI2zaevfOr87DvbWSZMsVTxu1c3HLcsSLMT6gETeZDKVNu50WuC2LgYJZKlp6zpOYgE9ppHrqnzVZoIoikKogOA0yl4EldmHEFYaiqIXaIY4aq6Pr31sFEIQ3HpvFiGlCeJLEntgAdsOMMSsOwEHRVMBPRQSF4A8p7mch/dccObo0UvnPrjzxRGOKcaUAM/ke0Gpu6cqmmvae1bcUR++w3UdxCraIwucYrERgRpmGWxHkxsHVIH79ocy+MTXy1i3xQa3oSES0E7ivUVNgFSHMkk90iy5Ph8kBvL492ywJtezT+n+DpF4RMvtO7y1rv25btEA1Rgw7mwCuoFnZMUBU5gsDLgpVbO3RfqjdD4jBFFpPTm3ENzkOLLfxzc+PoKPBMAdD2UQ2uF7QQ1NEdwAW/+qLtwkNuhpdG45oagLikBIGuP7Ic5947F+oxms6eos7ymX8lMeVzrVh4x5qI1tRK40sL3SuXRToZCD59bhuT5c15cTqDo+HMc8O8wHY368bbHuMpUI3kRyIBPgjODWBzL46NcqWL/ZQ9RmKqmSwFqmwltMAdu1MtVamvcgxXrDst5IUpbWtmupgLaBP4n3OW2pMAl4HbFEkm8buQ8JHs4VVeGWtdbOp3mdlBFpLBCkA0AmQUtx5ahSyCp9CylEk2DRET6++48jOOukBhhPkxADxBxQroNEulLIB8ImwJtA2AC4fjQheAA/5BhpcHjlMk48bsmmY46au/2xtZuRybhTHtspAS5PKgMfv3Gz60y8v9SxBJ5Thes04TkNeK56dhpwnQZcpwnXacJxfDDqx8DMaABGgkgCJCSU4PIIuENw24NZXPyvFazf4kF4VtMQkgJyfbUTm3frTMHWLMEpy85SnM1Y7k3S2Uyuk4ClHcaXn08O79RoJSyrjTgF0f9BeW8qPTW+TlzvRsprBWDo9zQGdtsZ5dD9D2lrHrnQz/IiQBNY1Ofjm58YwetPrIOGKtyodXCuI5+2yqKAzX0gVAAPG+q5DgTqEdYk2Os1rDp+AEM1//3f/eU9mx3GsK/h7GuFXGkeeDgKQks7fMbuIs0HzmBkLzxPgJIQMnI1iS0SAA+MhhkBQiGGegRb9jLc+4iHL/6ghPWbPVVL2cqxW4EuoSMtd7pqEgd6vDo+st5IAb31PtpoK5qZ1lSTWPs2mYw41YgwLcwPxaKWxADf5uDSQSXWOrIKXTBj9Tk3EcCIi3Oi8qv1F1W0kxNpXITMNOT6YKltkTQH0SzG0uEVEFyABAJL+n18+5Oj+MIPBO5/NIMtexngCusIiThMAnvH9YGz+aKmpASdXW14wykL73r/mlU7hseqaC8XXjrAAYCyMvyRWzYQ1v5tt3jCGbXh6/Hg+hweWptDI7D6VkAgDAnaChwnL29i7swQlTIHC1QTfWsHqAes3+bg8iuLuPHuLHYPMwjX1vPSJEHbsiMqYohKz5CeLRipJ7Ady4RSkgB6i7VX1jnGw+2gjw1pEX87FdhF8twnfiJJX1qttQaadSEAhosTy+Ek5uLQOSyRE6oyEQXkbBGRysKIZemhUnqNtAggyiqkIgSaAov7fXznUyO48Z4sLv+3Ep7d5gCe3jm1gyHAQoFyJcTcGSFOWt5EpcBjdyRKgGZA8eDTHh540sXq009FT0f52z/5zT0bLjz/tOlAd3oABwCSWQzKuh502OD1//H7Xedf/uNt2Lg1i2agchD0VcgFCjmOZf0+lszzcebKOtac0UCpwCECeWukGYEN2xx86fslXHtrFvWQydAjpVAwlc9JikK1g4JINdHRyliLYySAbaskkyyLKyCGfxjgtxJr85V9eZnTsOUCLdeHuQiSkcn4hSCU/yZUwx6di0Js6x9l5lmgjpQXxds5BaEWuFVjfaj5sY0zav4np0q+Uw4ApRwkEOjtCPHev6gh4wL/43tFbNyuQQ4gAApFgTWr6njdKXUsmetj2dwAxayAKuiUFygh8H2Kp54D/rj2BOQ6j7r+9OOXPLhrz/B0YTt9gDvZuahNrNuczZ950U0Pb2GbB51zm2xCThXNA0vX4pjwOe5/2sUD60L8/r4Mbr6jgfesruO8M+tgBNi4zcUXryji2j9kURcU8BDznKMHrIf1ebJCJ3IqozI0Mbk1pnHrHXtWQLYtfGqCFRCz5C38fLrDAnX8YjASoEgBfixfRUBZXrnEyImJIBD0RWCstwatvAOYWk4IAgqdcqstOpV3YQoVypdSHhUCXBU5a7oCLsAbQMYVWPPGOiCAL36/iE3b5UQD572+jnevruP0FQ30VkJQCoQNBr+unWZpyGRzIoZFfUXMn99543ONVRft3vPclqMG5h98gANArrAY19x8/5a/OWflkxPDtXN/d99GQymskwMRAE4IERLsGAJ+fRvDE8+4CAVw/BIfX/heAb+6NYuGoHILIuTQlGeWcDiNaqLTIJL53XEaYrWci4CaUE4S4EUKuFtlkzgm48Z/v2DekmAVAV9zbGulqABC0wV9yJMPkBYrHs8bNzWdXNdaCkhpkBAzNbdd00mNAwquDbtQNaE0AriOd4gAyDkc73xzHYQAn/9uEccv9fGVi8awcFYAwgVCn6IROODCkWoOotb7EIKiWnfRJMvQNvPsJ+dn79pS6V21X8d2vwAOAMcsnIHFC2df9vDjG+ePjG/7q0fWjqOODOREqmrTuPKOBQCXQ4QcW3cxXH1TFjfckcF1d2TREIo0Ry4fTbxOWm6JIgqjlkwlBU42v86USgpaQR5RkMSyZFJWDO/7h28LuEjwcOOURU4msSx7pIHrwgdiAdqabtuy4jqz1U6rJfZ6dvKVpitC9TpUkU4ZxLNbVqgiChV650SACqmS8ZAg43D85evq4AHQVhLo65XFlmFAEIYOAu4hDB1ZFypUGRsLEIY+do/PRFfv4msypZMva9S27Pdx3adMmBxLFvXjOz++dcRny953xceG7z7rhCoYYWCOh4zjwXEyICwHUE+52kCBCfyX86r40T+N4pILJ7DqOF8mBxNY1tq24ikPyDxmRmTVlAE5YuCOU5PW+XXSrLeN2jRLnh7omRrF+43xxBdizmTsvZl1IyYhWr1CWq154tmWE7lpDxc5m8mkLK4LJ6hal1qzLmsNnUaSI9T76NbDgD8+7OFrPy7g7/65jKtvzKEaysQ4zhmCwEWjmUGjkUW9mUXDz4CHDH98PIPPXt1z94wFC943suu6kXJ7/34DfL8tOAB87G9X4/Gn/lQNw79v7hy9BpRxtHuAR+XknOMBxYRwwUOKAuW48NwJ/MsHxtBe4Wgvc5z/hjrueszFRJ2pLdAIo+Z1TCJU1pvYerdpPtQiDwKtsmCCP8cKGOzlFuBaLLQdqrfXmQSw0wF5RD+SfNzOQwEiVcTm49rpJCQhJUYLEFENG+TGiqtGPVFHId02Wxc0q7pOanNxYoFc1n5yGCdU/j8ztw6lBOPjFNfdnsHaLQ5CQfCZK0oIQ+DCt1aRcYCg7qDeyKLpu+CCgDGOMORYNlDEpSve3nx6Pa0etfiCA4HqgQEcANo7lyHk/IE3nvr6lRNDd+cc0YTL5EH0GhRNX6BvRh3nnjqCz/3tGNoLArwpwLICK49t4NgFOdz9qGNtQcKC2/RE8TLjWIqESmKsd4yHJ4GdErJP071bcsJTLXicvkw2u9pUdCUF04aq2I6lxcljlplY1jiZPQiba1vrkoQVV45nLDlL8SAJWDXJrGlYIjm6sJoREWO15UXDzQ64Ag8/7eD+RzIIAwZkCIbHHHzhh21o+BR/sdJHZ46hWsthvJYBADDK0czmMXv+GbXSjEUPGB/vZQR434wKRseqn7voPWeK0Z3Pf/yxJ9Zn81kGhwHZGjBwRAMXrxnGmcsbyLoumk1VyOBzzChzLB0I8Ken5YFt4QotzqaSBGGa9aRlCKYmVLWAHHHqET3HJ5Iy1lmB1gJdDOjT5iLxFYWIgz+WX2K/T/Bvs5JcKEjif0SA1im2xPB1pFhxGIstk6iIkQFjF4tFXSKH01hxu/uW7sAFKiPva591sHOEqfQLWUu7t0rx2R8W8Pv7avjw2xja8kWMVT3Zd4c20ZldVHcrb/tmEOT+yfWmzjeZauw71jnF+OpXvyyOPObUu4p5lzEEKymvss6yi75eB+ed6uPUI30w4iIIaWSgIQRKbRw7Rxhuvz8LP1Cta3X6q84/oUYH18XDUW8TRVH0lCJ64lbZeUuBnCZoiz1rsf1ZtD4x1p9aDfCpnj8eUfW3vO70BUGs98R8x/6cyG5T5n26g5ssm0vvsKUcp+ii1ncQ+05ElHpE4hd10klO+huJu5193ZhtF2p9AnvWD+hnmI4KzOGoNgmuuq6Aux/JAVkmxQiWAZw8QAsYGipgdDQPhxZQa3ho+hTF8sxmsa3/srHRnf/cO3tZ8FIwesAWPBrCb87q7b4UYa25bWvtSy716cxuirZ8Di8OtqGtNIFCTp8ElSrLORBCJQsB0WEniodbygkhliyYqpCIWPAmlZ6QlJOaeMQ2IzqpVkg+QdJjFMY+HopKTNuyJyKZhnNrv9FwbyMnqolaoe4ESNIUuXF2JNMEg8wdwa5hkAXKMulbhuHtfBWlj6upBGV0U1t+lTeuZEck6AsAlSOnLYMD0Ayok0HFI+jNE4yNAes2C3S3CXR1FPhMZ9aXSqWerw+PjDZfKjwPnNyo8XcXvgNd7bR2wrFLrj/tlBWiowJUirIsLQgpgpAhCGW5k/a6rVS5BMpsHq4IgqInjKZIgUjq262UJLWxjw1atQ0t1s0GLCQfNddBqwdp0w3S8uIlDEsxUTfARIlaQh1Bst0bia9vr5fk9NzQFXv+zVgbCpV8ZSdqxZO8dNmcvfP6yJq7MyMEeQp4TIALjpExH7uHmpjVd5QodSy6fvNO1I475S9f8uF76RYcQF9fH3LFrmc72vIf6qwE3x/c8SDNZQI4TFXowFiDOCr0n7QIpgI3dEg+rYhBRLfxWBExpmm5o/+UBvpW3m7jOo2CE5K+fLpDJB4tnwtJEVosPSRdAOKFEIJYnBzawtv5KwmFhUzufMrWFMbhJDbghYDdTIhqHh7dlmAdSHOwOASCkKDWEBh3BU4/9Tje1z//Q0cuGXh2+wu7DgY0X7oFB4BFi5bAw1DzyGXHXVku0E92dlZUOq2cSpvpcrToupboITbxi6gJi5ZRmExBHeBpVU9SAjqW9abJnBMgcdNI4alJ44P0ZS2vD9Gwb3gtabXWa7OO3JmpUmaFnsfHWh7N7RMDbzyPvLVw2cyyrEPsxrKTuGcbRbJkXWU1BGoBwVgtRKWtE4FwPnnySSdcuWX77ubSpUsOyrE7KBYcAHpnLcToyM5w8fJzNg7u7B4b3XFdqZgdQi7rq4IHbc3loxnabXYI4rkoynrTRJN6iFalhMaTrNLyT9IKjIH4cpCkBU5IfpbqYZiNcfBiYwr6ss9hyYRJeTxm4dX2xHJVEoEdAtkijdlZhZDhew5ZwCuXyS9QbcE5AWcwpW+cghAeKSy6TbPsgyg5OFfNPKkCPFVkn0DSkEiyUZFuTihGmgyBz3FUXxvOOfvMsbNff/zGrdt2hcuOXHSwYHlwLLgerpuDQ4Zv7Jl94ofnDLxhcLDqYWhsFK7TAKUyX5a5Att2Mfzpzx6qDaoUFKtUSaFNRyodosPzplrHzhjU/FoHguLOpWjl1rY/C9ICesuPTE+s2i+0ktSXIoV/iKl+Jma9jbcZKzSO3M4Uzo2U17CsedojZs0Rbx4UtV+2o5y6DQWJErHCkKKQAU49vonZPaHM/YYAEIKGNfTkd2PFIuCv3n7W4Jted8KHd+yduLFYzB1MSB48Cw4AuXwFAFCt7v1pqefNzm2/JZd1sp93X7ByF4hw1RzmwN4qwZbtLhAw2esEdoW8lN2SBcTJKGUk7yFBTyLZLyVMD8O7IwlO4y9pyRM0JMbPkbTmcWsvYH829dgnsAliXNbkfBslRS/XFp3A6OBQ/FmmQsmLgUPIKUJiaomtsoh4zgrsYI/a3+gCMjWcsnMtA436nsgmNf2zA3QUQmzfI+SRFwyeaODdZxF86WMn7w6yp/03iMZPjxyYdTDhCOAgA1yPfL4TTz9f/dHqs86hzuiWr46O397tuQGymTqEAHbuZtg16kgO0lIlb/p5246lsd5Wu7Vk/ndES8yMui30JKL8pIW2GOtt0JsM/LSMFCN9QLR8H9KiSOEqdnTSVlg4UfQD8tKLCiLUdSIdTiUVchFlEhKilMCIiiCaGMg4lYjqO2X/FFklT5SzyYVAyBmiyWebFD1ljhndIZ7YSgDigDIPRYeh0n7M7lL3eZ8BGj8ipP1QQPHgUhR7HDk3j+7whivb8jM+NREcPVhreKCUYmiM4De357Fhq+53Yk+zbYPbav9gBV7sIE0av26ZGQ1pIE9Mu63+TGrBNaisdScfL83rjCVWpW9CywITrSRxXw5JKmLr2ilOJ5+csujOV5q6RBQmmr2NIEz0OOScwW86WDQnxNveUEVHKQBCiiwjOPWY/sF8dsan/vV/3nHloQI3cAgBDgDd89+B8VrzJ5n83I9mC/PHOK/jsQ0MN9+bB5grgU31hFEUDgUyBPCIMPw7CuSICLxJdYQlHMo0RcXw8NZI4mTW2XY408zzoRRQoozBRAxfW+JUGdFeBwmN2+LTNmhjykg0kZWets9IhPFWcLrVm1FQOKfgoQF2qB5B6IAHDs45pY7lC6ugvIYVS/rGli2a89GwWf/JP/7Xtx3Co3iIKIo9OitVXiwUr9k9OCu47ZGjr/7C97Zltw7mANcBiCtDt5SBUgKPSnC7SkGxMwVJDLg2TbEte2slT3Iqkkl7fkevW2VDO3flUIz9CXzaJl6oaGX0G5qbK42baN4NEdETrt5T/ZrLux6HDPvL2lnVIwVmXvgokBnNN09M5BOq2Q83xxHEge5/02y6mNXu45sf3YPrH1hYf7HW/feDoufa4eoon+5uH+g4pBYcACp9H8QtD+wJexdkrv3z80ve61ZW1BEyY8GJA0oJshTIECEb1iflQSpSHcq4FJgI9CAtsJPoTJVGXWzE22O6y6bzWXKI/Vh3ivVbcsCjh9GyIdIoi+mhEmneKc07I/7NDTWRjTllU/1QTWalpwwPQ9l62Q8dBCHFUYuW1f/67O73CpSuffPR68IrPveOQ4C4+HhJyVbTHT/799/hBfpucfKqVc8MDQ6ty7juOTtfHHMF88AYQ44BOSrg0ZRCYhqXByOrrusvLR2c0Tgvt5OpNHjTNHGaADhtAT/Zx+t4YtW+X6c7v5M5xKkXawvNItYdx7ST08NoLvFWc+bOZDoGxBxrIq8oPRFXzAeJpCSb5ynLHhkTDoIQLLe4Cnfehbny6mtXH/sEX378xS8H9F4egAPAw3dch/Y5J+DBx3c+vWzp7Odcyt44OFzLehQoOlItdKm04NE8lrblptazAm4r0FPoDEWUyTdV8pW+CIA0AB1mgE8J7AiL8Uh46qskyM0XSWJ5WmBMxxbMr5qNsKuCAF04LP0mLz93xMnO/0Bt9PlrsplR5Ho/+XLB7uUDOAA8/Mff4C0X/DXmzOh5ctbMjheWLuhdVR8byzerVWQcIqkJFS26tz75zLLUkXWmcYuebJdMpwBUHOhkUvAfdoDTfQBdb68VuEqNUmESkCv02tROWvi4TwOdFpv4RcBWYxRVCQWo24lix8l7M/k5FwtS+ZnjecjNmKRT/SEa+8MUD+rY9eIQPM993y9vuufSH//i9u69g6OgqhUXgVEEzMm3+g7aVjsF4MbpnJyWJIEcneBJAJ5GdSgh0UWkc8rNukS9V7nm1F5Hbzui1/ZzdOeK5bZbqcAq0EVUTxKbVlFtYaNtt6K5saxKU7BNoilqEE23Toicgp0SM/26PamY3WjVyjACAHAews1U0N33lt0dM8/8NBfBVV6m47Dg7JCrKJON3p52jIxNXPWu808nLsNXr/rft3Xv3D2KjMekNy8ipzwh89kAbI1W2pZbTz2XRk2MMkJi/+Nwj7gV3f9hVwppuqDDm1phIeri5FSFgrj6h1R6p0S3hOCAYFY2IkwHLbN9xgkFBAjxQZ0OtM9avbtj5qrPALjKy5T3ez8O1jhsAAeASqmA8fGJK9929smBIM43fnbdne1jQ3sQco5mQKL0Wp1lm7SuNh2xA0HErs7Rz/JcGIud4JtQn0867CxVEi3SWaqHZLQAPcG7gfQLIQr2RO/V3UkVGUe7q1p1UwJL5hNygSphQ1TCpgoarMJnzccFp2j6Mte/o6MDXbPfOFTsOu2SgJOrs9kDLzc7GOOwAhwAisUCqnX/p6vPOmFw0+YdCwpu/+U33HK/O1Jj4KBwqIiByKYstlIS0ZIEuNMcRmB6mIz+rbB15slBrTPfxUFGvKYhsQtyKpALYxTssKggRG27mimBqPxyokghMUjXdzci7IZBRlcnKvDGqFRJBms5dM48zc9Xgk+1zzxpI2XezYRkD+pxOJBx2AEOAPmsy596et2Nn//wau/Oh56tDtXpFVff/AjxGyFtzxIwiJj0q2lHvObS5sJpvDtRVDzFiJKldIYnacVzlNykviHsO8KBHAQyxbIUAMt9si4l9T6+E6biR++PnJRAAlcaCWKst47oqHl8dONgouavjP6VZWRymRqyFcYrPacJZJd8JFc++se7dr7QnDWn86Bg46WOVwTAAeCoIxfjtvvWNju6Z/x0/kD9jlOPG3vHzh17/2XH9l2ydYG2MrAOcEw5IWCsNVSvHU2dTmsPO7QNpPDXyLDpahn5BX2blz1JSEuF/IGMtLtCi1+Q4ndEtKsl+kNi4X5Dr4z+remJUPsk1D4pc2CCaFF1DoGcLEemHoZBCCczG8W29v9O832/hNuxFXx9Mz9nxcsNn0nHKwbgAHDWKUsBoHbJZT9fX5o199Jj57Z5m7aUP3f/E1tZs9mAo1UJW1FQtIQldHG7iaZu72yDMNYdyqqGsUtF7RTUmCW3Mvj2L84+jZHi7aarPnZjIxHfN8QLH+y8cVjrE0IgqFDFC4p+RHcGdaxVKwmu55KCACMBXNcBvKVhHTO+XJiz59KJndvCYudbDyN60sfLqoNPd9zzh2vx/ne9XVzykXfdcf2v/yPDBU7avWfIaTSaoCSE50hrrQNCjBErOAQwqqaCZjYv11q09VD/Lwl2e8R8PFvLhpEXI/kwig7K30fEcyfXwe089lRN3Fpuy4dmHQPu6BmI6i151JrNBrxVGMwN+GPKODH7Z/5/CM8Fsvk2dM4+vTFrwZqvdc8+/fPvefsHxMyBvzncsEkdrwRlbNKxc+8YMvARgH71occ2rfzuVTdRymsrhwYHnWyGwWEETFlvhyF6bfqLJHRw9bsCsnMFF0DI5YxhnMdnLbN5u83xSXSnMBo4s3TvmAYeW56ug5uAVVzbj6K1VFifiyi4Zfd6McqOoVKcqymwQzn/JOe2BTc6eKSJ6//PpO7tMKmDO0zO5EGJj0qlElTK9N6ZAxfwfGnRvSEnn/FcDua2H26oTDpe0QC3xw+v/g08zymNjo7/cP2zm9+5bfsOWqvW4HkOHAY4jMBxrABMQjmxQa4BHoRCzYkui2Dtwl1zYZA419cgtgBLEwBnBwjwiGIpUNtgZ7HlwgR7LEUJgKrggZwhOKDwQyAITHFxxKtp/A5gB5BcRwJbdkUIkMlkUW6bwTu6+n+RyRb+gYfB2MCy8w43JKY1XjUAB4C16zYhn892Pbf5hYvuvPvPywYHh89fu24jclkHuQyD65jgjtw7A2xGTWRRAOChQNMXaPjyOQhFzBkjSVAnZUh1tyCRc9sK8P2JZE4GcGaDOha51TKdAafaZXAO+AFFw6eoNwmavrTmujWxffEklSVGBVxXwHMCOMRH94z5yOUr18/uP/bJUvusbwV+fU9H17zDDYVpj1cVwPXYsGkLKqVi/yOPP/PNx59cf/4TTzyNZmMMuawD12HgQtIOIRRwGFF0hoIxuctByFFvcIzXQlTrAn4gIqeSRLTDpg+G/miwGq5PDgzgimOnAZxpH4KI2DOzgC3BbsLn+mIWQs5tM1FjGKsyVOsEYSiPHWWAQwUcB4p+6DuaLkPjcJ0AXR159M9bgu6ZC6/v6l18cbMxvrm9s+9wn/r9Hq9KgAPAzl174LruwNp1m5bXa9WLNm58dtVzmzagWh1HEBI0mnJCI8YAz6HwXArXpXAYBWNSGhsdD7FtVxNjVY5Q3b41sCLwRuCLA5zZziy1aEgC4JRqmtMKcE0VpgI4s8EcLZeAdiKwS76s+TMhUvkYGfeweYeLkXEJYkk/CDwHyHgCnivgMGnxqw2CiWqIcrmIxYsGsGBgwZ2FXO5bnT3zHudhsCFXfGXo2vs7XlEy4f6MGb1dALBBCLEBwJMODWeuWL70B1u3PDtw/4OPsRcHq3AYQSHHQBmB41BkPIqsR5DxgFwWmNMTYNd4E5u2eujICXiO5J9yalFVExPJhGq2YPlRvBmPNaLyNjsCkzJiUVKriDj+Dd0Sw5IEadxBpArcjsPhMg7X4fDcEJViA/eszeCpzQU4IMhlKDyPIuvJXG2HEVBPIOvJpkwjEx7mDRwTLlmyeANF8wMDi0/ZAWD9/rXJeOWNVy3A9VAnYP3w8PB6zsO3tFUys+ctXP6rq37+f8vDu7cXgrAGRh14HkE2Q1DIChRyAl0VHzO7x7BjfBS3PNaJUGTRkZP3cc299RzuRM8mpjVl7ama2FPrdkV/JgkCJfRzu9BYpPyWyb2xsgATGYCuw5HNBCgX6ijkh/DkthIefS6DvgpBR5kgHzoqgEXhOQAER1slg/4juiZO7TlrdM8QX9Pff8R2xujmVzuw9XjVA1yPtrY2CCE2t7d3bN0zOH7UmnPDUxzK/9emTRuCXS883xE0RkpZjyPrcRRzAUoFHz3tdZx9wihuui+LDVtzKLgELgNcLsCpCZLIqfes3iG6x5+dd0JMxDPSwKfY3kiTJsaCJ0cUqY8FZ0yqarxySYAxDs8J0FasY8OOAHc+5GDPMEW7J627/i3XYSiWu8aWHjVvcMH8+U42I95f6eq/b96CyggX4Iy+NsANvAw1mS/nUAEVXp0YHVo0f9Yt7e3lRT/4t18seOc73/nlE0887qmenq5HK+VivVLKoJCtI+M14ToBKAL4oYCv6g7tsi0zn6ScsImLdGpitkEzFLuAIh5UsgEdq59MAXoM5ETEHN8om099T+rYHI4TQCCA73NM1AVGqhzMzaFYLNU7O7sePXr5sU+dc+7bv/zoA9cvyGTLi3KFObfUJqpDhJDXFLiB15AFt0f/EbMBaXir27dvBWPO5YyxyxcMLGb5fP6KrDO2iARrT3e9Z9hwtYpq3UOzGaAZkihnRTt+gCrEDU2Slx0Q0qMF1FagKZbQDmO5o5476gKiIp3xxLRrFXzR4JbBKhJ1nSIIwbmPUo5gVqdANShg2bKZ4enH9t/d25VfPzEx8SEgDDOZLC54z1dE94y+6uE+X4dyvCYBbo/Zs/sAg5ugUR/6B0Kz7cJf8ZXRXb/wntm+LsyUjjjuuOWZ42tDexD6o4AHZBwXAkAzkJIjVbVzlE6eDtsaljeBIvkN8z39mzH6I9IvHn1H0cqJy2ST+iAkaDRkyD0Mfbg0QKWcA8l0YmBu7c+nnSgenrlngH3iwrOb8/s6PjtebQ71dLUd7lPyso7X1v3oAMY3//02EIJVtXr4ZtQn1sCfWEx4DVue34R6w8eWXePYOxrCpQTlAkMxz5BxCVxGIjnRYURq7Q416QOMxORBE0GN6+12NNNhgOMALhMqOmueXVcg43HkvCZyXh2MhRir5TA0VoGAh4UL56KjzUG55Kxrq7BfMcf5PQTuzHRccLgP8WEd/98DXI+dLw4CwFuCIFgwPDTIf33t9XzGzNK8Umf+03/4006IIIuRwR2ojg+jkCVwHALPdaSuTuV71yHwXAbHoWCURlZca94ywijTAnR0VVt7rW+7DPBcATcKxAgIEcBhAoVcgJ7uEmbN7MBEfQxDjQHs2d28tFEdfe5NbzmXtrW1UcdxNgK4JZM7PDWQr7Txmqco0x0zejoA4Bb9XohnAWTatu/ace+e8QzGR3J+X8+SjztMvMl1BHjI8cCDD2N8fDyKlGY8BkY5eOgDIoQQBD4XyHoEWU+g6QND1RDNJkc2w5DNyOpzAcBlFNmsCy/vIusZcBeKRSxYeAwYo8h4AtmMuLWYGf2GPzzmetll6OvtvxO8Pjy7b87hPoSvyPGfAJ9kELIQAIYB3AAAm7fsAIBnuAh7GQFv+j7WPrMe9XpdWmxGwHnorzzlhC+Oj42/lSDwAYGJmkCpQNFWEmg0BTa/EKLRFCiXHJTyFNU6R8gFCrmMmy8Ubnp+42NfdFzPdZgAEQK5XBFHzF0K5rhwHFCH0V0Anlu+YObhPkSvivGfFOUgjof/fD8IIb07du6qENEUAsD4BEe5SNFeFmg2gU3bJcDbyg7KBYrxaoiQA8VClnR2do8IgV0rV55yuHflNTP+H4CcKdB4gpNPAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE2OjU4OjMxKzAwOjAwNHL70wAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNjo1ODozMSswMDowMEUvQ28AAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
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id: 16591000
{'hecke_orbit_code': 68736254195, 'n': 1, 'trace_an': 1}
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id: 16591001
{'hecke_orbit_code': 68736254195, 'n': 2, 'trace_an': 0}
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id: 16591002
{'hecke_orbit_code': 68736254195, 'n': 3, 'trace_an': 0}
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id: 16591003
{'hecke_orbit_code': 68736254195, 'n': 4, 'trace_an': 1}
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id: 16591004
{'hecke_orbit_code': 68736254195, 'n': 5, 'trace_an': 0}
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id: 16591005
{'hecke_orbit_code': 68736254195, 'n': 6, 'trace_an': 0}
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id: 16591006
{'hecke_orbit_code': 68736254195, 'n': 7, 'trace_an': -1}
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id: 16591007
{'hecke_orbit_code': 68736254195, 'n': 8, 'trace_an': 0}
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id: 16591008
{'hecke_orbit_code': 68736254195, 'n': 9, 'trace_an': 0}
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id: 16591009
{'hecke_orbit_code': 68736254195, 'n': 10, 'trace_an': 0}
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id: 16591010
{'hecke_orbit_code': 68736254195, 'n': 11, 'trace_an': 0}
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id: 16591011
{'hecke_orbit_code': 68736254195, 'n': 12, 'trace_an': 0}
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id: 16591012
{'hecke_orbit_code': 68736254195, 'n': 13, 'trace_an': -1}
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id: 16591013
{'hecke_orbit_code': 68736254195, 'n': 14, 'trace_an': 0}
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id: 16591014
{'hecke_orbit_code': 68736254195, 'n': 15, 'trace_an': 0}
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id: 16591015
{'hecke_orbit_code': 68736254195, 'n': 16, 'trace_an': 1}
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id: 16591016
{'hecke_orbit_code': 68736254195, 'n': 17, 'trace_an': 0}
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id: 16591017
{'hecke_orbit_code': 68736254195, 'n': 18, 'trace_an': 0}
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id: 16591018
{'hecke_orbit_code': 68736254195, 'n': 19, 'trace_an': -1}
-
id: 16591019
{'hecke_orbit_code': 68736254195, 'n': 20, 'trace_an': 0}
-
id: 16591020
{'hecke_orbit_code': 68736254195, 'n': 21, 'trace_an': 0}
-
id: 16591021
{'hecke_orbit_code': 68736254195, 'n': 22, 'trace_an': 0}
-
id: 16591022
{'hecke_orbit_code': 68736254195, 'n': 23, 'trace_an': 0}
-
id: 16591023
{'hecke_orbit_code': 68736254195, 'n': 24, 'trace_an': 0}
-
id: 16591024
{'hecke_orbit_code': 68736254195, 'n': 25, 'trace_an': 1}
-
id: 16591025
{'hecke_orbit_code': 68736254195, 'n': 26, 'trace_an': 0}
-
id: 16591026
{'hecke_orbit_code': 68736254195, 'n': 27, 'trace_an': 0}
-
id: 16591027
{'hecke_orbit_code': 68736254195, 'n': 28, 'trace_an': -1}
-
id: 16591028
{'hecke_orbit_code': 68736254195, 'n': 29, 'trace_an': 0}
-
id: 16591029
{'hecke_orbit_code': 68736254195, 'n': 30, 'trace_an': 0}
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id: 16591030
{'hecke_orbit_code': 68736254195, 'n': 31, 'trace_an': -1}
-
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