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mf_newforms • Show schema
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{'Nk2': 3825, 'analytic_conductor': 11.580411235312619, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 85, 'char_degree': 8, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 16, 'char_parity': -1, 'char_values': [425, 16, [52, 326], [8, 11]], 'cm_discs': [], 'conrey_index': 24, 'dim': 8, 'field_disc': 16777216, 'field_disc_factorization': [[2, 24]], 'field_poly': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 16, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [961, 1736, 1792, 1144, 448, 120, 32, 8, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1305720390057, 'hecke_ring_generator_nbound': 4, '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, 85, 16, -1, 16, 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': '425.3.t.a', 'level': 425, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 17], 'level_radical': 85, 'minimal_twist': '17.3.e.a', 'nf_label': '8.0.16777216.1', 'prim_orbit_index': 16, 'qexp_display': 'q+(-1-\\zeta_{16}+\\zeta_{16}^{2}-\\zeta_{16}^{3}+\\zeta_{16}^{4}+\\cdots)q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '2.2.3.c16', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '425.3.t', 'trace_display': [-8, -8, 0, 8], 'trace_hash': 763721108680146288, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.185', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.533', 'prec': 17}, {'__RealLiteral__': 0, 'data': '182.044', 'prec': 24}, {'__RealLiteral__': 0, 'data': '1.342', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5694.767', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.063', 'prec': 17}, 'traces': [8, -8, -8, 0, 0, -8, 8, -40, 16, 0, -8, 40, -16, -8, 0, 0, 0, 0, 0, 0, -64, 56, 40, 80, 0, 176, 16, 56, -48, 0, 24, -88, -96, 136, 0, -128, -128, -120, -48, 0, 48, -128, -112, -120, 0, -88, 192, -8, -16, 0, 136, 0, 128, -8, 0, -120, 72, 32, 48, 0, -160, 56, 168, 64, 0, -8, 336, 272, -240, 0, 40, -40, 48, 160, 0, 80, -80, -304, 136, 0, -424, -136, -336, 0, 0, 832, -80, -320, -160, 0, 320, -184, -208, -32, 0, -56, -104, 120, 224, 0, 0, -544, 0, -80, 0, -128, 344, -232, -96, 0, 16, -296, 256, 176, 0, -704, 96, 640, -136, 0, 40, 608, -8, -408, 0, -184, -384, 200, -352, 0, 104, 136, 160, -480, 0, 0, 0, 16, 584, 0, -464, -424, 608, -56, 0, -144, 168, -80, 400, 0, -304, 656, 0, 464, 0, 480, -48, 376, 96, 0, 144, 872, -240, -24, 0, 1120, -344, 1120, 0, 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mf_hecke_cc • Show schema
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'conrey_index': 299, 'dual_conrey_index': 199, 'dual_embedding_index': 1, 'dual_embedding_m': 5, 'embedding_index': 1, 'embedding_m': 8, 'embedding_root_imag': 0.9238795325112867, 'embedding_root_real': 0.3826834323650898, 'hecke_orbit': 1, 'hecke_orbit_code': 1305720390057, 'label': '425.3.t.a.299.1', 'level': 425, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 3825, 'analytic_conductor': 11.580411235312619, 'char_conductor': 85, 'char_degree': 8, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 16, 'char_parity': -1, 'char_values': [425, 16, [52, 326], [8, 11]], 'conrey_index': 24, 'cusp_dim': 672, 'dim': 416, 'eis_dim': 96, 'eis_new_dim': 32, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 1305720390057, 'hecke_orbit_dims': [8, 8, 8, 8, 96, 96, 96, 96], 'label': '425.3.t', 'level': 425, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 17], 'level_radical': 85, 'mf_dim': 768, 'mf_new_dim': 448, 'num_forms': 8, 'prim_orbit_index': 16, 'relative_dim': 52, 'sturm_bound': 135, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [416, 0, 0, 16, 0, -16, 0, 0, 16, 0, 64, 0, 0, 16, 0, 0, 0, 0, 16, 0, -256, 0, 0, 304, 0, -544, 0, 0, -144, 0, -144, 0, 0, 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mf_twists_cc • Show schema
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id: 16102959
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 299, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1305720390057, 'target_is_minimal': False, 'target_label': '425.3.t.a.299.1', 'target_level': 425, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 16102960
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 401, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974067237289, 'target_is_minimal': False, 'target_label': '425.3.u.b.401.1', 'target_level': 425, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 16102961
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 10, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274928238609, 'target_is_minimal': True, 'target_label': '17.3.e.a.10.1', 'target_level': 17, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 16102962
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 299, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008504975131049, 'target_is_minimal': False, 'target_label': '425.3.t.c.299.1', 'target_level': 425, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 16102963
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 10, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504630469853337, 'target_is_minimal': False, 'target_label': '153.3.p.b.10.1', 'target_level': 153, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 3}
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id: 16102964
{'conductor': 17, 'degree': 8, 'order': 16, 'parity': -1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008504975131049, 'target_is_minimal': False, 'target_label': '425.3.t.c.199.1', 'target_level': 425, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '17.12', 'twisting_conrey_index': 12, 'weight': 3}
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id: 16102965
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 129, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009467047805200, 'target_is_minimal': False, 'target_label': '272.3.bh.c.129.1', 'target_level': 272, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 16102966
{'conductor': 85, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 158, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071947202849, 'target_is_minimal': False, 'target_label': '289.3.e.i.158.1', 'target_level': 289, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '85.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 16102967
{'conductor': 85, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 249, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539870829314337, 'target_is_minimal': False, 'target_label': '289.3.e.l.249.1', 'target_level': 289, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '85.8', 'twisting_conrey_index': 8, 'weight': 3}
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id: 16102968
{'conductor': 85, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 301, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974067237289, 'target_is_minimal': False, 'target_label': '425.3.u.b.301.1', 'target_level': 425, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '85.12', 'twisting_conrey_index': 12, 'weight': 3}
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id: 16102969
{'conductor': 85, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 75, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043470456684833, 'target_is_minimal': False, 'target_label': '289.3.e.m.75.1', 'target_level': 289, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '85.13', 'twisting_conrey_index': 13, 'weight': 3}
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id: 16102970
{'conductor': 85, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 224, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073810350369, 'target_is_minimal': False, 'target_label': '289.3.e.d.224.1', 'target_level': 289, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '85.23', 'twisting_conrey_index': 23, 'weight': 3}
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id: 16102971
{'conductor': 85, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 224, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874555609377, 'target_is_minimal': False, 'target_label': '289.3.e.b.224.1', 'target_level': 289, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '85.28', 'twisting_conrey_index': 28, 'weight': 3}
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id: 16102972
{'conductor': 85, 'degree': 8, 'order': 16, 'parity': -1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1305720390057, 'target_is_minimal': False, 'target_label': '425.3.t.a.199.1', 'target_level': 425, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '85.29', 'twisting_conrey_index': 29, 'weight': 3}
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id: 16102973
{'conductor': 85, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 214, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474182979873, 'target_is_minimal': False, 'target_label': '289.3.e.c.214.1', 'target_level': 289, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '85.33', 'twisting_conrey_index': 33, 'weight': 3}
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id: 16102974
{'conductor': 85, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 75, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071947202849, 'target_is_minimal': False, 'target_label': '289.3.e.i.75.1', 'target_level': 289, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '85.38', 'twisting_conrey_index': 38, 'weight': 3}
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id: 16102975
{'conductor': 85, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 249, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271201943841, 'target_is_minimal': False, 'target_label': '289.3.e.k.249.1', 'target_level': 289, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '85.43', 'twisting_conrey_index': 43, 'weight': 3}
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id: 16102976
{'conductor': 85, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 158, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043470456684833, 'target_is_minimal': False, 'target_label': '289.3.e.m.158.1', 'target_level': 289, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '85.48', 'twisting_conrey_index': 48, 'weight': 3}
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id: 16102977
{'conductor': 85, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 40, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073810350369, 'target_is_minimal': False, 'target_label': '289.3.e.d.40.1', 'target_level': 289, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '85.53', 'twisting_conrey_index': 53, 'weight': 3}
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id: 16102978
{'conductor': 85, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 65, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271201943841, 'target_is_minimal': False, 'target_label': '289.3.e.k.65.1', 'target_level': 289, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '85.58', 'twisting_conrey_index': 58, 'weight': 3}
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id: 16102979
{'conductor': 85, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 12, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274928238609, 'target_is_minimal': True, 'target_label': '17.3.e.a.12.1', 'target_level': 17, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '85.63', 'twisting_conrey_index': 63, 'weight': 3}
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id: 16102980
{'conductor': 85, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 131, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474182979873, 'target_is_minimal': False, 'target_label': '289.3.e.c.131.1', 'target_level': 289, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '85.73', 'twisting_conrey_index': 73, 'weight': 3}
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id: 16102981
{'conductor': 85, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 65, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539870829314337, 'target_is_minimal': False, 'target_label': '289.3.e.l.65.1', 'target_level': 289, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '85.78', 'twisting_conrey_index': 78, 'weight': 3}
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id: 16102982
{'conductor': 85, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 40, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874555609377, 'target_is_minimal': False, 'target_label': '289.3.e.b.40.1', 'target_level': 289, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '85.83', 'twisting_conrey_index': 83, 'weight': 3}
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id: 16102983
{'conductor': 255, 'degree': 8, 'order': 16, 'parity': -1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 46, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504630469853337, 'target_is_minimal': False, 'target_label': '153.3.p.b.46.1', 'target_level': 153, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '255.233', 'twisting_conrey_index': 233, 'weight': 3}
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id: 16102984
{'conductor': 340, 'degree': 8, 'order': 16, 'parity': -1, 'source_conrey_index': 299, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1305720390057, 'source_is_minimal': False, 'source_label': '425.3.t.a.299.1', 'source_level': 425, 'target_conrey_index': 97, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009467047805200, 'target_is_minimal': False, 'target_label': '272.3.bh.c.97.1', 'target_level': 272, 'twist_class_label': '17.3.e.a.10.1', 'twist_class_level': 17, 'twisting_char_label': '340.63', 'twisting_conrey_index': 63, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 867750
{'charpoly_factorization': [[[961, 1736, 1792, 1144, 448, 120, 32, 8, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 2}
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id: 867751
{'charpoly_factorization': [[[2, 24, 116, 176, 178, 64, 24, 8, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 3}
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id: 867752
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 1305720390057, 'p': 5}
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id: 867753
{'charpoly_factorization': [[[8454272, -2894848, 453120, -37888, 272, 0, 40, -8, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 7}
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id: 867754
{'charpoly_factorization': [[[27572738, -9416168, 1210100, -130472, 12502, -432, 12, 8, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 11}
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id: 867755
{'charpoly_factorization': [[[9048064, -9625600, 5120000, 1129472, 129408, -2688, 128, 16, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 13}
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id: 867756
{'charpoly_factorization': [[[6975757441, 0, 0, 0, 0, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 17}
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id: 867757
{'charpoly_factorization': [[[929296, -925440, 154432, 20544, 67712, 9888, 368, 0, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 19}
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id: 867758
{'charpoly_factorization': [[[859299968, -380731904, 79653248, -9969280, 783152, -39008, 1336, -40, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 23}
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id: 867759
{'charpoly_factorization': [[[4240836608, 17682432, 407177216, 55948800, 2924096, 50688, 624, 48, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 29}
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id: 867760
{'charpoly_factorization': [[[14536832, 19152384, 8906112, -407808, 46000, -4512, 232, -24, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 31}
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id: 867761
{'charpoly_factorization': [[[120057840128, 21968397312, 1949119232, 126950912, 6676000, 267328, 7680, 128, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 37}
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id: 867762
{'charpoly_factorization': [[[59058658562, -10891969944, 851345876, -34847696, 1267458, -56704, 1824, -48, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 41}
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id: 867763
{'charpoly_factorization': [[[6201305218564, 373556221936, 11251238296, 659093648, 29495944, 377208, 5252, 112, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 43}
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id: 867764
{'charpoly_factorization': [[[2259754549504, -3559691264, 2803712, -277465600, 25209440, -907072, 18432, -192, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 47}
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id: 867765
{'charpoly_factorization': [[[26754490624, -10007744512, 1236934144, -47191552, 4121088, -169600, 6432, -128, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 53}
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id: 867766
{'charpoly_factorization': [[[2675455605124, 57746117328, -682934952, -145724880, -2594808, 167784, 5988, -48, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 59}
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id: 867767
{'charpoly_factorization': [[[106680004247552, 3040094060544, 96984055808, 2998558720, 53458432, 480256, 8384, 160, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 61}
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id: 867768
{'charpoly_factorization': [[[-9145694, 370192, 3460, -168, 1], 2]], 'hecke_orbit_code': 1305720390057, 'p': 67}
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id: 867769
{'charpoly_factorization': [[[71246079996032, -3272841105408, 458184132736, -6737847296, 43290416, 1432352, -12216, -40, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 71}
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id: 867770
{'charpoly_factorization': [[[51301810562, 76019149032, 30216334740, 760370512, 10072962, 111200, 6400, -48, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 73}
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id: 867771
{'charpoly_factorization': [[[3948319764608, -467240282112, 94955734144, -5217092480, 121806000, -741152, 3800, -136, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 79}
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id: 867772
{'charpoly_factorization': [[[1042256526864004, -31481546945712, -173221055208, 2524583856, 313068168, 5630952, 56196, 336, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 83}
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id: 867773
{'charpoly_factorization': [[[117588822570244, 11720367113216, 584098906112, 9469447872, 72896012, -64128, 12800, 160, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 89}
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id: 867774
{'charpoly_factorization': [[[21682310986562, 1137418975768, -4247672836, -448311224, 13431910, 342984, 11004, 104, 1], 1]], 'hecke_orbit_code': 1305720390057, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 20, 'hecke_orbit': 1, 'label': '425.3.t.a', 'level': 425, 'portrait': 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YPYY60n2DxhWGkZTi0qKp7P5mnYPheyaWbA/MyQzTNDtm+y7NysuHKHR1XVOX6qyTee83niUMwzJyMS1eHbX9XizldYqmqGQycnOX5Oc/ZCwsJyxKkly5Flyy1XL/Gv37fGjpkJzi5NcWGtwmpLsd4VdLoJnV5Cq2c5fHyZgydbVz5xYOnVR88s7T5xbulLt73x3eGDd/3xSw2JP9ftbzSDr623CEOLUnzgvieOvuInf/VT8t23H3nFP7vzjF5c2czy+gQrrQprLY+1jmKtA6uthLVWxEor4fw6HF0WzM2t839//wovu6zG6cVpzl2oc25Zs7hiWViOObOUcKETMzk94JXXdrltH/iySqACFlcrnF/WLKwKekOIY0PFN9QrCVMTMQY4uRDT7sKuTR716hBrBQifbt+wc/OQlXUN1kmR9S4MY7BYVlsh2+Y9On2FUBZhhjQrHju3DFjvCU6e0yRGM9OUNCqCwIM4FvSGkoVVyfkVy+JaTBAMwIu5/aour7haMNessrLW5PRiwLllWFyOWVyNObsKR1csN1+1zM98/xqbJ5ucWphmYbnG0prHckuy2kpodSJa3YT1rmWlA6dagqXlLr/0z8L4e99YfTCY/WGja1c9KLA/ZVFUqs2XGiovevsby+Cf+tSnufGG6/k//sU//9k/+fTX/rff/sOvXnrgZGv3kbNd+YprOuzdakgSjbtGBQiJRQIyfW3RwhJIOLda4eHDimv3rrJvx4BaBTwt8T2F72vqVUnNk/S6HgdPVPjyEz4nLwxpxxEHTw/ZNLPK21+5xrWXdrh5X4sTyzHLPUEtGHDsnKXVrnPNJZL1QcL+E4pGTfP8Sbhsq2UQJgwSH60jphpw4HSA0gmejNEe9IeSl+3r0e9Jrr00od1POHmuwZ7NinotZH1omZ/ssdZt80dfg6eOJzxzfMCurStcd0WbqemQt93e4bteY9m7uUESTXL87ARHz3icXjCcuRBx5kLC0QuCU+sR11++xP/9/R02TU5yemGahZUay+seK23BWtvQ6hbgXu3AQley1DbcvG+Zf/gdSzJQdvf5s2f2tDvJrbWJXdV6Y+ord9/1Z/zuf/3oSw2Zi97+RjL43Xd9huuv2q7ueejw/3X0+Pn/85Enj6rTF0IudBWnu3DVjkX+w48tcf0lNRZWplhdr7HarrDW1qy2NWttWGsnrLVjVjsxyy04vSbQ1QEvv3qV735NyJ75OuvdJhdWqyyt+iy3BKstJxHWOoZ239AeWnqDmJlmxM5NBhAEnuXMBQ8hA3bNK/ZstWyd77G4NuTpww1uusxSq67x3JFpGvWQMPSYmTL0B3DlzgEf/dokV+yIGQ4tsxOSKOnTqAQ8f2JA1atzw+UxzxwLWVzx2TYTsGcL7NwcolTEmWXwPYsQll2bYqYakk4/oNvzaPc8VtuK1XVYaRlWWwnLrYSFFqwMEnZu6/Ldr13m5fs0Fa/J+eUmy2sVltc1K23Besuw3olY7yasdyyrXVjsSs6vJ9xyxSI/9yMrXLq1wdLaBEtrVVbbkxjvkkRXNv1saOd/RrOWfOed73ypobPh9jcK4K2VR9FetRr1ju/8xqML7zlwZOXfPX/gFGttw2rHLZcLHcnpdsKNl1zgF390mev21LiwNsnKeo21ToW1tsdaCvJWx7DeiVnrxKy2LYstwbmuBdHlzle1eNvLDJdsqRCGNdZaFda7Pq2OYq0r6PQEg6EljC1JAkpaAg+qgWWyaZmfjtDegKPnQ549EmDiOm+5NUR76zy+f4LdW+ALj8S86pqAC60+Fa2Ik4jpKYgjD+3FrKzUeOWNbb7wUIM9W+Cxw0M8arz5ZYZY9Hn2aMLxMxW09Nk0pZmqC6qBwPcFSkBsIIwsgxA6Pct619DpGdZ7hpWupZ8k7Nre4223tbjzFSGYBivrE1xYrbLS8hwZtGC9k9Dqxqx3HHOv9WCho7jQTrjpskV+/keXuHJnjQurU6y06qy2ApbWfM4vgapsQldn/tXUtkv/+Pqrdp/qdvv919xyzUsNpfz2NwbgL+w/yNT0Nv/E8ad+cHXphV87f/qgOHFGyLV2zHonZr1jWO8a1nqCha7ibCfilksv8PM/tMKNl1VYXptkuVVnrR3Q6visdTTrHUGrY92S24lpdQ1rXcuFjuB8yzA12eONN3e4fV/Mrk2KZtWj3akQeBJQhLF0gauF3gAQhqnGgMNnLcaG3P1YnWGvyqXbfF5+bY/IrHPvE5PccJnH4YUurbUmt13b4yuPB2yatuw/afnH72yz/0TApmnJl59QvPxKxWqvzbHT09xweci9z/aJhzVuv8pn744B/bjLXY8rSARHz2iaNY0W0Ou7wDoxligGpEH7hlbXUm9E7Ngy5BVX9njjTTEz9QqLqxOsrFdZa7tjs9YWtLrQ6sS0uzHrXUOrZ1jtSRY6guVOwq1XXODfvX+J63ZXuLA2xWq7zno7YK3ju9WyJVleS1gbCPOaV11rb75u3z+6/JKrf2dxeSHcsfOylxpSwN8QgA+Hkez3+2///Be+cGm3N/yFr97zsLdjc4Dvabr9mG4vpt1LZUPfst4TLPYUZ1sJt+9b5APvX+amSzzWOxMsrTVodSusd3zWu5pWR9HqQadrafdi2t2Ebt/Q6lmWuoKlLkTJkOsu67N5OqHbs7z1tiG7NxviRKKlJYzgnqcrnLpQYctUzHNHK2Bq7NuuuPEKQ1Dp8fjhHkvLda7eXac5ucZDz3jcclmFld46a2tNNm+2PLJf8Xdf1+XR/Zrt8x7L3RZrq9PceGWPh55LmK5OcvWlXS60WjzywiRVXefmKyyX7xyA7PL0ccH8dMTiUsS9T3sMIoWUkBjL7i0hb7wtpNNVbJ0y3HgZhGGN1VaN1VbAetej3VO0upJ2F9q9hHbqlrR7hvWeZbUvOdsWtPohL798iX/7w6vcdFmFhZVJ1js11jsB7a5Hq6tpdRXtnqDTt2gZs30+Zs9lt0eJDf7F617/liNBpfpZpbR5qbH1kmcyh4MuSdz//sMHn/zlc2eOTi8trbBrSwWpFMaCUgLfk1QDS2KES81bixAJSigePbyJn/qQxztfvsp7X7fKnm0hCytNAr9KNfCpBR71qqZTlTT6HhN1TW+Q0O0nbBoa+kNLZxCwulThzGlLGBvOLsQEgQUEvrJoKej1FQKPuKe5frdg71bLzm09hkmHLz6qOHBkijfdFHDjlWv87hctvqixe1uPZx5SbJtUzDZ7VFSVMPK40IF6RbN9k+CpAyE3Xl7lNTcs85HP9fG9Bm+41eIFPb76SMgXHq7zwvEql2ytsXtLwtxUyJ7ZiGt2Jyhl0MoClloQMDcZEEYenZ7Pc4c9ugNNr6/oDiTdPnQHlm7PffdOP6Hbt7T7llYflnqKhTVLbaLFj791ib9ze8i1e+qcW27S6lRp9wI6PY9uX9EfSoaRIE5ACoGxHmcuaM5ceMqbmJr+5UptdvWWW27+Z51u7yONeu1/XoAPhz1A/PCpYw9+4OCz904TdZhqahIjMQbiBLAS61uMtRibeSYWKSxKJPhK8tyRWZ48VOPwuQu88xVdXnHVgMlGk9VWjXq7QrPv0+1pOunJ7g80vaFmMLQMQkMYWaLIEifuHsY+1oBUAk8LKr5gsiGYasDmWcP2TT1mp1p86XG470kPaSZ4000e1+/r8MALEeGgycuvF7T6fS6s1Ln9csPsZI+qDhjEiqV2hDKC6y/X1BpDnjhY4dU3TnDbdR2eOKjATnDTVT4/9O2rfOWpkC8/Wmf/qQo75xSbp6tMNWpMNKAagKctSoKxsP+4IEkEUSwIYxhGuO84TOgPDYOhoTcw9IaGbh/aQ1jqSpa6MDADXn/DKm9/RYvvfYMlihosLDdo9yp0ej7tnqbb13QHkt5AMgid/o9id8yMscSx4eyFMxw58cXp1Vb0/3zbm1+tu53eh+qNlw7kLxnAw8EqUiY/dPb4/R84c+Rr877qMT/jp4EdhBFEsUBJgRAKhECIBClASpdFVMriqYSKliz3qnzsa9v56pNtXnXNOu97/TrX7OkyM1ljZb1Gpx/Q63spsJW7h4JhJIliQRy7pd7VbrmgUmuo+FCrGqYbEdvme8R0OXw24o/urXDsdJ3JoMotV2luv7bNI4da3P2NJrdeVmHnlh4f/ZpAiYBmI2K9O3QrkoC5Zo92x8fEVd7+qgt87As19i5WeNutPcJohXufnSFKKrzsqnnedkuby3a0+OoTPZ45XePp4z7bpyXTTUEtEPieuwilACEcCRhTAC+MLMPIXciDEPohdAaCtaFgtQNCD7j+8nXe98Z1XnlVwmyjylqrznqnSrfv0+17KbAV3b6kN5T0BzAILcPQEEaGKDZEsfubwxBay2t89E/unu8N7Qfe/tZX2YUL67+9eX7yfw6ALx35NX7/y5v508988QduvHzhF9Rw/6wvIybqFTwV42vJIJSEWjKMnESRUiClcuAWoKRASoNWBk9ZfG2oaMHaQLHamuLj99R5+LkuL79unfe9YZ0b9raYSarEcUBvUKHb9+gPNWGkiGJJnEgSIzBW5KtD4BtqlZjAD/G9IWdXhnzuMcmRMz7Hz0yhTMDeLT5X7lHctK+NCpZ49miDbZM1rr4ENs+tsdpucs02SWwsX3o0YNiTTNZj3vyyAZ+9N+LUQoMrLvU4vz7g+WMeOzZNcd2eJR54psNDzwuGoc++PdPs2xGwb3uHo+dXOXIWHj1Q4/CxOjUtCLSkHlgqHkjpVjhr3cUaJziySATdoaA9ELQjCE2MsQNuvqzN+97Y5lXXJGyZDugPXOKs0wvoDnx6KbB7A0V/KOgNJP1huiqECWEK8DBybtMwsgwj16RxfrXFr/7eV+ePnT/zC297WSPe/1F+d9/3WtEdYBvVv77Q768V4P/8Fz7E7N5HeEf/uu+N+sd/1QsPTmolmWhOoLVwgNUaTyuGocXTEq0EWjkmV1KhlEApg1IJnhb4nsH3LIFnqfkJkxVBZ+ix1p7iE/c1+drTAzZN9XjPa1vs2zFg0O9y9R7Ljs2KYeSRJIrESGwGbmnwdMLJRcvxBcF63/CZB2qcXZ7Chh5TFcXWGc2uzZpLtsHVe9sYucwHP1tndXWCW/dprt7b4qtPC0TsMT8lqddiepGPtBKsRGmf1kCwuCq4ytZ47U0dHnyiytZZn1uvnubvf/syv/OFDo8erNMdeKysN9iztcoVW3q87PIO3/nqDudWV/nMAwErvYCT5z3OnvXxlEBKiUBgrCUxEBlLEhumZiKuvarHcBixb8eQd712yPyEYroREEUVzi9V6PZ9+kOP3kDTH2bAlvSHgv5QMBjCIDQMw4TB0IF7GNkc4IPQMoigNxR0Is35Mx1+9Q8em73v8S2/9H/+4/3/ah/8kDWD+/46MffXBvD/+F/+mH/6D75T/Ni/lu9u+s//1rtue7x23V5Ft1+hXh0ghUVK68CrPbRSaG3RSqK1RElSsDvQe1rgeQZfJ47BPUs1stRCy0QlYaoq6IWSTljn+Jk6P/8H02BiRBxz07U99mwOiWMw1mCtS+JIIZBKoD2fg6d89h+pUK9oGr5ktiaYm5HMT2u2zil2bUm4Ytc6iVjhP32yyclTk9x6uce+3Qn9uMM3ng2YrHrMTFgmGyG1qpNCxkhaA8Vq17LSSmh1q7zy6nUe29/jwCnFZLPCy66a5P1vX+E/fwqeOFKn27esdzSLq002z9aYnxqwa2bAP393j2atxTPH4eBpiedZlLIIYQDr/mchjmH35oSXXxOTRB5RHGBtjUHosbDsQN0fagahyuVbPxQMUnAPQhiGjrWHoSEMTR67DLN7DMMQ+pGgEwrWQknXWuK1mPOLz831lttz66cv2ePN/tgha+1SnJB4+q+eyf9aAP7JT/9HLtt9Sv3Xj/7GnXG3/bu/9LGVyrP7q/z8j61z+c4EIW0KcINWPp62eFrhDVUKdIlWEl9LB2wtXJrdkww9SRAmDCNLNTIMI0MYWpoxDCPDMIYwFgwiyTAJiJIKB47UefoAJNbioO20sSfBV67moxHA1VugWYWJumSqoZiZ1MxPw87NQ7bMrRPZVf7TJyc4emyCGy9RXLJdsnf7Gl9/PmZxZYKb9kimmoaK3yeQAVYJ4kQirCVOQta6FRZXPG7cV+X6yzs88ESFTVOCWqXBjZcbfvzOFX71U4bnzzZY7xrWO4qlNc3sZJ2pZpWp5gTNWsRcPWLXjSGBF+PpGKUSpHDBhMVdVFGkuLCkiWJFFCvCSDGM0sdQMowkw9DJw2EoXIAaCoap1nbHtTi+ObAjGEQwjAT9CLqRZD0UrA0t8aDP9btW+ffvX+JVexd54ZD/W5vig+2Jqa03xVH/9F8H9v7KAf7vf+UPOXiiqZ4+dO5da+3DH9l/aqGCbvDFR+fwtOVnfqTFvm0GLY0DuDRolaCVh6e0A3uo8LRlqG1aQyIYhILAEwx9RRhJhqEhiixhnOTRfX5PIE4sSWJIDE5vG3JwC4FbISR4HgRaUAkEtUBSrykmapKpCcH8dMyuzT0a9XU++WDIvc9Os77c5Nqdil1bPC7bMSAR63zp0Rp1TzM3pWjUBjx7FNdxv8PSGyquuyzi2r2WhfMJS2s+/UGNt9zS4f5n+hw+q6hXJYHf5JpLDD/zAyvc83yfz94zy0rbsms+Ya2lmWwqJuoejZpHvWqpBIbANwQ6QSubB+LgWNxVWgpiI4kTQRwLolgSxoIocrafC+6FkxwhDKMk1dgpsFM5MgwzzQ2DSDCIhGPuSNKKBe1hAmGXG3et8tPvX+Ett8Aw9FlYeDJY67fZtW3fK2cmd/zJ8ed/P9lz9fv+dgM80FaG4fJ7Dx+58Otffny10qdBUJVEUZ0/e0gQhprvem2Ld9/RZmYipt2rorWPpxM87blHT+OHCl8rAs+xTeCnJyW/K6IYwkg6ByEubL84MSSJcxcSmzolqVsihHCOjBRoLfC1IPAllUBSrwqaNctkw7BpesjcVIfYrvPx+yW/84UZ5isVrt0p2LnFY/dWw64ta3zyG5bV1Qr7NiummtCoRSyekFxYC/D3OKabm5BMTsLh45a1tmFhucJluyu87qYOn7uvwkwDAt9HyUmu2Sv4kbddwJMX+LMHpnjhbIVN7Yj5yZiJuqJRVdSqkmqgCXwIPFJpZ/OgPAc57sJODCSJ87Ed0CFKnHsVRYkjhRTQUWwIY0MYUQomUwsyFgxjx9rtyAWwg8GQpt/hu799mfe8tsvrb4B2t8YwDLhmr2QwPB3023O/tZTUtZTeH+J45m8nwD/y0U+RJOYHHnrk2C+dOHGqubnu0QmhJiwtpemqBl96TPON5yosrC3zj+/sMN2MGARV2r0ETyf4nocfJgRaMfR0urRKwsil0sNIEMYO5FHKSnEMUQJJ4pwEY1zAZYzNejhTcDuAqzSQ9bQDSCWAWsXQqMZMNmLmJvvMTq3z4IGQ37u7ysHjk+ye8Ni7GbZv9tm+Ca7Y2aYXt3lkf5Oq8pibUkw2YLIxZGoixvc1QriLqz/0WW1HrPcsrW7MhTWfnZsb3LbvAnc/2uPg2Sa1IMJTPkJMsHeb4vvesMzNV1zg9+5u8Mhzk6x0NfPNmMlaTK0iqVYUgScIPInnuVhFKVL70KHc4npYjSEHepyYdHVLrcXYECeGMHYlAFFs8xUxjJ0rM4gFw0jQiwXdSNBJoNs3mKjPTLXNP/quFf739/aoBAHr7Rr9YcAw9Akjn97AZ7V9ptmYUP9pYvZq/9nH/+x3rr35O/72AXxtrYVS8oc/8vuf/MDZc2dmAk9icUkJP3J61xOKtqzRGih+6Y899h9d4+2v7vKa69tsnh3S7lTpD318zyf0NUGkCSMH8gzgUSQJY7fsRnHqaSek1h8pc0uMpQC3S1KmzA1auYSJ71kqvqFaiWlUYqaaQ7bMtlls9fi1z3h86bFpVtfqXDon2Dkv2Dbvs31esGfrAO2v87F7NcdO17l8k2SqIZmoJ0g55OySJdASKcBaQRhpds23eZSEdk+x1rYsrla5fHuF73xtiz/5qs+JxQBPRwjhYWydKJbctGeNXd/T5ktP9Pjol6Z5/ESdbVOC2XpCvZJQ8Z1s8z0Xq2jlMo1Sirwmw+IuMmNxTkti06SaTQnBSTrno1MCdpo8SgT9lLW7MfQiQ9wN2T7b5jU3rfOOV3V5y80GLeqsrlUZhgGD0GcYegyGmv7QI44Vi4vnZ3R1zy/ceOvfUf1++0PVv6Ka8r8SgLfbbXzf+/tfv+f+Dxw+tH++FpAmbLIspGMWLRI8KWmJgPZQ87GvV7jn2Q43XtHie17f5223rTM7GdAbBPSHPlHkEcYeYaTzQCmOnZcdJZm2lCSJIDGi0NpGkKsS65hbCpcocskig+8ZAj+hGsQ0qkNmJ7v0oz5ffdbyR1+f4JHnJpnyPa7ZZtkyLdk047N1TrJ9U8gl29Z45kSfz9w/x4TSzE0ImnVBsxbR6iV84RsVGr5FCAes/lDz9pcP+fzDriam1TVcWNNsn2/wzld0eeRAh/2HfepBnB43D2NqDEKn9b/vdS0u33KBj93T5qEXJjm1VmVzUzBRsdR8Q0UbfI/UXnUXsmNyyMqPTCrVjClWuDgFuiMIiBJBlBTAHsSCbizoJbiYJwypV3t895tWee8bOtx0ecL8lEe/X2O9U2EY+gxCz4E71A7gobMg+wPBwQOH5q165APX3Xi7abXaH56Y+MsH+V8qwNfWW/iijdLm+597+sFffPzR+2aGgzb1ikZKZ10JIRDCpgkb0NIQSEFbKrp+nTNtn3MP13j42S5/cm2bd72ux5tfPmBm0mc4dLUWYewRRV7uCMSJIo4lsZEkSQFwY1PmNoUdJYRNg0pXx6G1wfcSAj+iGoQ0qn0S+nzlCckffG2S545PIKKA3VOWLZOW2UnF3LTP5lnJ1rmInZvbnF7q8BufrRMPq2zfLphsaJp1aNYihBfS7teZbLjvbi1EsWQ6UMQmphP5dHoJa23F2aUqV13S4Ee/Y51f+MOAk0t1tIrSC0MTxxUGoWTzTMBNl7a59pIuz588yx99vcrdj09yrlWlHigaPtQ9i68tngIt3crpCKa4GcAad9ElRpBYiBPh/PNEECYuSdRPBP0EBoklimNMGDJT6fGW16/zntd3eNU1Mc2KJorrrK4HDCOfMPQYRg7cw1AzDJWzIVMrsj+UrHXanDz/9fnVdvKLt936svjQkVP/ddvmKeqNvzyg/6UCfDDoQ6X5jucff/I/f+Ohe5rdbodqxcPaGGMF1kCmD6RwJ1wKd/A9aanEgo706ceaC8OAP3u4xr3P9XjZl7v8k+/qcOXONvOTiqbUhJFPGHvEsc5B7sAtXS2Llbi6LJGn3x1zG5SyaGXQOibwYzwV0u5HLLUj/uMnKxy/MMUT+yexxmemKpiftcxOCGaaiplJj00zks0zMdvmesxMrvGlJw2PvzDJtdsFUw1JoyZp1gz1aojwhgSBRrtqA5dlTCT9oaY/iIiNoNM3dLqW1bbHwkqT26/octtV63zsyxWqqwotIwdIq4kTnzByPZ6zkxVu3tvl5ku7PPqac5xckvze3ZNcWK9xZiXAV5K6J/AzGSYdseREnkkVHJPHVhAbiIxgmMAghtBYSGKII5Qasm2qzzW73Pm45cqEZlUTx3VaXaezo0gzjLxUSmrCUDGIFMNIOxtyqBiEkkHkLNP1VpsH7r9npln3//NNN9641u/3P/OXicm/NIAvnD3Kpk2b1Je/9CeXHj1ypNlutdPmXoOnZRrkmRRoKZNLi84OvgJfQVUb+rGg6wX0Y4+VsMbdj0/w4At96sGQv/fWFjtmYnZt7XP71R20cC1iQji54rKSrlba2hJzYxHSFWgNI4slBhnz/HHJYwc0n3ukwfOnGoRxjYZWzFUt03XLVM06H7ypmZ7QzEwKNk/HbJ3rs2VujXufG/LBz82zZVIz14RmXdGsCxq1mGow5MFDikGo8eoOVNYKwlhS0YobLu/z8LOTrvCpn7De9lheD1hcnuJH37bImeUVHn5qDk8CIsIAcawJI49hKOn2NVONCpPNOrdd3uM11/b4njuWOHDa8PlHKjxyoMqhY3VioRkOFb1IoYRMV9Fy4JnmBKwhNhZrDJ5ImPBDKkTcdmOXPVsGbJ+NeN+bh1R9Rb2iCaMarY5PGHlE6efKpKMDemoEhCr12VXqsTtTIE5AKUmrtc5XvnpP89jxs5d+3/u+Wz33/KHkmqsv/5sDcGu/Clzw+62jP7h9bv2Xzp9cZKKhafdIU+vOpfC9QgsLLCqVKSq2eFKglcVPLIES1BLBQEM/0em9QqeT8Isfm8LGEZvmBly1c8DMRMy7Xtdn53xIFIlUb0soMTep/pTSIKTgE/dUeeZoHaE1J8/VOLtYo1JVTASCybqlWTE0K9CoCiZqimZDMdXQzEzC7GTMppkB2+bbJHadT9zfpN+tc9l2S7OmaNQkjaqhUYnxvJAvPVxh2JN4865bNJMo9ariLS/rc9+Thu5Q0u0ntHua9Y5mYaXGlXsavOtVbZ54vsbJ1QZKGiBK9bJHlKh0oJGkO9C0uj6Nao16dciV2wfcesWA0xdanDi/jvYSnj6m+ZOv1xBKOXCPzx+0BjBgLVGYsGtTzHte12e2mXDFLsumGUhij2HYII5d11QUu3sca6JEEUUqf3QOl4uPnNNVOF5R7DR+kuYnhiE8d3CBJNjxSx/+xEM9Wd/2O7/1p0+G7//OG/9mAPzA4dOgqpfbwbFfi7v3y7mpHax3tAtupLtKPW1zuSAgrQoEGTuNqJVFx04DRtoSJZZqImgkljARDI1gmHgMjUdsYKnb5OvPGCwJn37EjWzAmvSeZfFSi0y4ikQhJFIp4kgjjcbTkkYAe+Ysdc9QCwy1AGqBoF6VNKqKZk0z0ZBMNWFmImZuasjWuQ4Ja/zHP63wwLPz7J2BqVrK3jVJoxpTq4bUa32q1RqBkiiZanCcHIgij0Ff0B8mdIaK7sDQ6RvXMlf3ObM4wSuvGvLj717kl/9Ec2o9QAiDtREmsUSxRxhJBkNXo93oa+oVn1q1Qi2oUQkiGtWQmy4L8b2IWy6Led/re2gVp0kggxB2VJSnks4YiRCSwFOAz2CoWVnTrm4nyWIe9+jkoStYi2IXC2VBf+ZqOadLlADu2DsxqZNjLBfWDQ/86dflD7y792s3XXXh/lY0eO4vA5v/3QD/9Q/9Mc88PV199vDBOw8ePyyu2hmwa8YwGApMkqbBpcAogbYSi8ma4JGxY/A4AZU4oGdVcFFaD+4OhCU2gthYolQjxkYSWUliNJEJSFLbq3zLs5QCtBAuU6mgUrVUtKWiEgIPAg0V31INBFVfUqtKahXtAF4XTDYM082Ymckh89Ndts6v8MHPGT569yZ2TCpmG4ZmXdGoKeo1qFUTGtWI8yuGo+cDKr4rv4Ws0k8wCDV7Nhs2zw5oD3z6A5uyuGS9o2lUKzRqk7zv9Rc4dn6B3/rMNrTUWAyJSdyxiF3w1g9d0NarSGoDTTXwqAYJrY6LMXwvSRNmCVq6RgkpkzQOcndXupJW26czZlomrbI0Lq5x8U0R68SlxyhxmjpOLVsH+BTMsSBMBFEk0t9zFzmAlILAV2ydN9x0zYAbNn9D7G7eeufMJdcdffbxT/Svvfm7XlqAX7az7i+tLv/k0sLyT5456cml85vYu1WzeSYVIjbzmyVWGUA6F0ValLSo2KIV6ARilSUfLH7mzWaZN2PzNHuSJSssbuBPGiiVNTekq0Tq2GhpUr3vnAVPCTxtnW+sBZVAUvEl1UBRrSgaVUmjZpmoJ0w2YqabQ2aneuzctMIjh4Z87J6tTFUCNjUMzZpw4K5K6hVDvRLTqA155CA8faDGpXOZe1SkzftDxS1XWC7b2efR5ybpDS39QUK3r1OQe9QqVaqVSb771as8fegCD+/fDFZhTOIu+tgSRzavJ+kPNbWBpVpRVHxD4HsEfkKgDVoneNqVGCtl3BYsaQ0QwiIo9FwRnIv0+DqQGyNSh0oSZ6n/1LXKQF08d2BO4uw5o8yd1kloJZmoS/btlly2YwatkUuLrf9rqXXeR9Z/FghfMoCbuC8H/cFP/8Ef/sE/G3YX/Uu3uV0NfC0ZRhZPifzEKgWIFNzCuK7wNEWeJE6ixAZMArFxzbQmX8bIM5FJ2tmT2VvWWkqZ95EVN/Pbs4SOkmnGUlEq2nLZv8BXVAJFNRDUqoJG1dKsJUzUYyYbQ2Ym+mydW+Phg31++iObOHVmkktmDZM1aFYV9aqiXoF6JaFaifC9Aa2BRUmFpyxSFp8sMRnD+TSrEb3Y0Bu6/Xl6g4ROT9KqKmqdgErQYPfmiJ/5wRb/5ncl39i/CYvCWEOSGOIkTlPpzoLrB5LqUFHxJYFvCXxFoA2e5/x+rdKKTZWSTCpThLAbGnRNKimNKVg9q5tPjMDk+QbnDMVGkCSuDCBKL4Y4KZUFpLo7O6fYrEQChqHm+Pk6Uli6/SW/PjnxL975nW/y1tZ7/2pqsvYXTuf/hQG+cKHFwvLwZ++9957/5fiJU5XJRkBinMeslXQJijSOUSotRU3BLYV07GEsRkKinDTRxmJS1s46xrO0sjG2YOu0DDS7MwbwVHangSVpMCtQyjk2ebmtdjUtvqeoBG4kQzWw1CuGRi2hWYuYaIRMN/tsnVvn4QM9/s3vzHLw1DS7pp3D0qhK6jXp2LtqqVUSapWIKAn5/S83kErhSRdQ5wxu0+U88fi+N61x1+MhnTCglwK821d0uopWoKn4AYHX5IodMf/uh1b4178jeOi5TRgrSYxLq0exKzQbhoZhxfnMQSCoeILAd5lNX9s8Y6uVQSpnz0phnVzMAF6kPFOQkzN6NmGgGJNHDvCC3VNAZz9LyDPK2WqcnU+bnjFjXKdRbAQCJ2u6gzOVowfu+V9f/so7hE3Wf0qov1hH0F8Y4CdPHscYc9uD33i8aqIh1YqHR5kxRQ4yACPdQZDW1UgkaR9fotJH4x7LdSPuQDqQ2xTcNmXwtNwZO/a5MoBLAUK6+SGyxN6uscKB2/Okq9/wBZXAzTypBQn1qgN3sx4y2ewzN9nikQM9fvrD0zx/cpbtU4KZekmaVDT1iqtfqVZiqkGI5w05uzKFpwRKmtSWK4LMJJHEsWLLlCWOI9pRhf7QMhga+oOEzkBS7SkqvofvVfD0BPu2x/y7v7/Ev/xtePiFeScVEkOUWKI4SZncMAwMlVAy8FUuwTwPPO0kmqtTcRatlDYlApsXZo1h3MkVslUzBXl6TnLA2hTMVuQrb/lu0ljKrb42v3CEsNj0YoniLNst8HTMscPPVLduu+S2/54Z5X8hgD/2jbuZn45qn/rMV/yaNwRPo5Wryhthz9LnyuofsvS5kq5DPkmKPsIc6DYDtU0LpEpyJF027Yt8NimKIirn4ogc3Eq6WduFPIGKB4FvqFYs1cDp51o1olkLmaz3mZ1q8fjhAf/6Q1M8e3KOrZOKubphoipoVCS1iqJWFVQr7uJwqf6Qh/cLugOfiiJNl7uTlzUhJEYQxZp6RXH71R0eeb5JL3IypT9M6PUVnUAR+Arf81P9PMmVOww/9/4L/MRvwkP754mMJDImbZYuejCHviTwjWNvr6ijzzqktCKVKSVHK83yXhzk6R1RkoeQpJliY9xzM8LShVOSr8ImIyhbrLpCIBNyOSuFsxIPHe9yfuWL/s233lH71Ge+0HvnO972Vw/w5cUTzMxvm3zo3j/7jXpl+OqppsVamRcwUUoHlw9SBlKdBYcZG+iMpdO6kRFQjz5aa3PmHjlA7ii5Py/TA5YWGakc4E4qedoxme+B7xkqflpgFSRUU3nRqA6ZaPSZarR56siQf/2hKZ4+Mc/mSc1czTBRhXpFUK8qalVFLWfvhEoQ06gNuPdpn/VWhampIk2eHYtsOY8SxfyM4vXXd7n3MeO6aEJTArmk4kkqnsbTPlpXkdJw5Q7LB95/gZ/4TctDB+eJjCbKKgATmzN5EMm8utDXrjPK0wItBUpnx4b88+UXIVla3+ZnMTuH43dTeszlZE5Yxfk01qYXRulclvCRsXSZq+M4ojNov/rkqZO//b3v/c4fO3z0xPple3f/1QJ8bXWBdnvlJ9ZXTrzXRktMNHyS2F2pF2VVWz44JQ09cjDK2lrk7J0VA2UVcCPMnR6g/MCkF5bTk0WNt1JFxaBWuPoMbfE811hc8Q0VP6FaialVIuqVIY3agOmJFk8cGvKTvznLU8c2MT/pMV9LmKjZFNwpe1fczJZqYKgEMbUgJDZDOmGAUBIvY/Bcg4t0JXOWWhR51P2BKxcIK0xlIB8k9HzH4IEv017VbANayzW7Lb/wY4v8H79ueOjAJiKjGSaCMMlayQSVyBB4Ft8T+Nqkq5dr+VPpiuaOj8glnSytwFAAfiTWGQN3TkK59ChW5bw8NwO2Kezc0fjJ5n8ow0ucWC6sLuFVjr/30ceePhpG4b/8b8XrfxPAbXII5OZdj9z3h9cOe+eoVwVRYoh1AdKyVVde1hhh5FKXSa7nRtkglyImXRaL719cORlrj8miLMGk09ESSromAE85YPva5tWDFS9JdXNEtTJkqtljot7h4f0xP/XBWZ48tom5Cc1cNWGiYmmk4K5WnJ2YgbsaJFT8mGY9ZP8Jyz1P1PGlxFMmlW7FcclcoShRxEbz2psiLr2ky9FTVeZqbiTDIHTzTHqDlIW1QmvPWavSeddX74Kf+5Fl/uVvGu5/fo5BVGWYSMLYUoudZAk8HMh1tnqZvLdVqiRf4ZwpIPL68XL8NK5XCpCXiGdktS1JzPIFMPa7OWHZAuTZ+5k1HBvJkWPn+NLXHrv2B//B+3c9+NzZk6+45s+/3eGfG+DHTy5wamFqd9x55FeIlt+hRIcg8NBJQpwUEbbNSlNLYHdfVIwta2IU8IaR3xlfEkuwTo95ibnL4BYWqTJb0IFBq5S1tRsx4XmGwDMEfkzFj6kEIbXKkOmJHmudHvc9Bz/3B5t55sgssym4J6uWRlVQr4jcK3fOi3Hs7TuAV4MhYZIw6FeoKHeRyQww+YWfWm6JJI610/J6yDC09CNRArjB9xN8T+N5Eq0USno5wBFw3R7Bz/3YGr/4hzEPHZjhXKvJoC6ZTCyN2FJJJw4Enk29/8xJsTl7Z1IlA3j+edMPXca5LZ+HDKiMgta8yPOCsOzG85z+eyaNs4rch2C90+P0wto7Dj71SPLm117/v7bXFk80pzb95QK81zqF5y/deubEsTuXz56gUfOQ0mBUag+V/dIM3NkVTMHIxUVg84ugAHixdJUBXtxG0hH5SXDjHrLeSpvKE5tWDTrm1trgaYOfl8c6cAd+Cu7pLktrfT7w+zU+8405lrtTzE1I5iopuCtOd9fSwLIaSGqBTRncae9KEAIhX3vKZy3ymQkYqcdGlJd0d9zCSNMMNK+7scfDB0M6UcBEZNIudoM/dLXqvnYA18qipIeQLkGDhX07JL/8T9p8/uE+P/vhTZxZnqI/qZn0BY3YUIshiNzoZV+5gUZeFmhKkQfB2WM5UM8vTFEAPAd66TyBLUkWW8iYEvizn5fZ31C8lz0fcdMsCKE4fuQwhw5svnPbbO33O93+ib9UBh8OevhB9bJTRx/8p1H7WepViecleJnhnycACpBnJ7HIipWvWlGSITa9qgvWLw7aOMAz3U2JvbOOfIrRE6k00dIB21U0mrQFLsH3Yip+ROBHNKp9tO5x79MJv/2FJp97YJ7QNJlvCmYrTpY4CzDzyVV6Fylzl9k7QushD74wSS/UbKnZ9IIbZ/A00DSufqPiKW67sk9sHMD7kWCQuSGhG7nm6cziVCkQXfbRgU0wOyl47x1dGsE5PvyFPve9MMNCVKVXkTRjS11bB3KdxiEqzSArm4I8JQZRcsMkSAoWH3frLiovKIM4O992RK+P3GGE7XN3JnNh0vOvkHzlnme4ZM9l//Tb3vyKJ7vd/uF6vfrfD/CHnj6D1/s4cX9qa43Dr5mbOEViqun8QJl3ziSJSGu+s/QuFwF62VMVozIEMcLY7lGMRq45sO2YNLG5j6ukSQFu0prvFNzK1WIEXoTvR1S8kFptgO/3+IO7NT//X+c5ujSNF1TY3BBMBwnNwFIPoJ522FcDl+2spAkhV7+SpCuBkyfL7YRu6OMrhS9tHmBmn91SeMlJmt4OY4+qN2DzZJ/1XoN+JNJxay5W8LwktflUaneq3L8uAldX+fiOV3W55aolfu73Bnz0S3OsxnV6gUfdkzS1q8EJtCtNzpohdJb0keQXZJYFzo/1RQA+AvbSebNsBG/mo19UnpRcmMJOdp56nslOFMeW2kx9+YXXHFkMt55daB+20RGEd+l/H8BNkvDUhTt3HzvxxAfXTj/KW29aTRMSrvY3K7YxKu2gKQWbowxeTtYUQaOxowHkeD3J+C1LKTs70Ba6O6ttkQZZZm6VOJB7Mb52kiTwhwRenxOLMb/1+Tqfun+GY4tTNGse0xWYChIagU1T7xm4ZQpumSeFKqn2Dnx34TTrQz75oObwySoV5SZ15e1iFCgvAmynw6NYs28XfPstHX77izN0a5pmZBlEliBM4wZl3AAklTlDGci9EsrcqrBzVvJTf7fHtXvO8Jufm+bYwgSrcZWep6krQS0Fui+tu3BSl6lgcZsH60Kkm8KULcRxcI+9yDU5bJAf+esSwItAtDAdsgRRbAShgXYoWR2EePY+vuu1Oz+4beftbzXh+reUKt8U4INBRBBo7nvwie0PfePo3k9/VTJZtbzhxi7L6zWU0sSxQmeFOBl7G+GaDjIHZCzwHJUixUmHFwe4EIU8yYBdyJN02mxaY6Fkxt4Jnopd544XEwRDfD2kk4T82sd9Pvz5zZxdmcSoKtMTimnfMuEbailz1/L0vUzrVFJpknrnObh9l70cRiGHzwR0w4CpIHVxsqRT5kqUlu+8JiXSNOuaPdtDVDCgEzbo+4JqOoPET+WVl0oULYuhpBcPXhVzEz1+9B097nztAh/+fJvf+sQMy/06fV2hohU1LagqSxBbx+bSSRUtC1szWxVzJmdUHl7stsFOhIsydraS5c/z4rmCveO0da6fCC604W0vW+Pvv7FDb+Xo3lPJ/Pade248YZIYqV4cxt8U4N3OBbC1ua1z3seHqy94r75WcenWGFAEXpS2myV5CWXGSjYHuUilhyjAXs5EpiDPSzXtGBtkbFE+uGnlW3HwM/Y2+cxCJR24tUrwvYiKH+J7Ia1ByIPPSP7g7iafuH+GQdLA931mfMGkb6j7llpgqfkFuCuBJAgkQSpNXGIodSZSgPuey3weP2+57/EaYeQR1O2GADO7ZbFKVooaRgrP07z+lg4f+0qXg2fq9Cuu82XoWfwYvMjghQaV1vk4GSGL4T4UK6Sr9pPUAs2myT7/x3f3uHLnkI/e3eCx/RMs9esMlI/naSpaUJUQyNRGzexVadP6IUbuXAzo4y5X6TyWz7MdY+4C6CX2tgVzxwaGRtBJBLEwHDrr8ciBaaKnDnlveNurP15bbV3f73WX/sIMPjM9KZcWDt964fQ9E2+4pcv2TQk75wOiWKBVnAJNYYwhUTIHdWKlY207FnBmDD0SSF4c2BcHeKkwSJiCvaVJ7cDEAVwluRzROqLVjXjgOcFHvtjk7icmWG01kNUKjapi0rM0fUPNs9R8S9UnZW3H3NVAUvEVFV9Q8Ukr9EwKbuNWBj9G6SGHzsDZVsUlVlJ9O5o4yQk87YN0II+NJAw1m5qCy3b0efZUTC/y3Ly/CPwQBz6V5B1SKuuYH+vMyRNnqQ0ZJa4+/D2v7/Pml63x1Sc7/O6Xmjy2v8lKp0ZL+nR9ja8EvhQEEtfDKd0udVnXVUYmopx74FsFngWrZ++bMnsznglNG5+t6w+NDPSNYGgALTiwMMt/+bRh50Sf852vTHz7W++49dqrrvgi32R40DcFeL9zIvB179dr6oX63u1tGrWQKFYoFaN1Oh7MJKn2llgjSazA5nNISiAvs/eILBEXZ+3seSpNysX5YgTYJn1MUDLBz9wMGbHUibn3cc0XHmjwmfsmuNCuIyoVvIZHU8OE5zp5qh6p7ICqL9K7TEtOU93tC4KMvTOA6xjfj6n4IdZGfO2JgJPnq8xOCzxp0mVeFI2+JRTYkvuUJIr+0GPXJsHrb+zxqW+EdCOPfiSoeBY/diw+jGxplVK5X42QIzLF3TMTQKZZU001GPKeO/q88ZYVPn1/h88/UOPeZxpcaNXoC5++r9GeQguBJwWelHjCplLLOoeFkkQsM/nYObwYwMuPhoKxMwaPS+COLUQ2m9nu/jWlJOdakv4gYe3J0/U7Xhf/+pGTp68E+n8hgH/1wSdRosWO2iF2bdHEEQhpEOkFkx1EU35MnZRy46/NpYjYoL0LoJcOUn7QbCFLUr2d15NLg0gBrnWCryMqlYjBMOHgWThxTvFHX57gi481ubBWB6+CbnrUlKThWRraUPUsVQ8qngN3xXMzCV2ZqSzdRfpzm4Lc5CD3PdeedvSc4dnjAXheuszbUopejFBdeblOkqxu2o1zvmbPkKu2dzlwtka/IqjFgiCyDBWptWdS9s7clMyCLLRK7rOnVqQxKp0+4DEIParVIT/wliFvv32dux7v8sdfqXHiXIUDZ2uE6wFxoBlojVTSpfMBLaWrzKQIQpUo5SMuQk62dH43AJu08jBl8SS/Z8merP0wveNilrVY0WpBJM8x7D8zecmu7/7etbb97anmxYOCFwV4PDgmev3eP/3FX/9/Z1fX4e++qcuNexOktmgtMJEkjDJgq3RMg3NSMoBfnMFH2bsM8gIDNg8mHYubgrWFSQGeEARukmqcJCyswJe/rjl6pso9j1Q5u1bl6Lk6BAGqpqloRV1b6to4F8GzBNoNjg88UhBnd5neVQpwUs2dgttLCDzH3u7CCjm+BPtP1PDkqD2YSxSKevBywsukzofrc/S4alefy+Z7PHcsphd7NCLBUIOfzgRUJYBLKRBSjjA5lFjRlGRQkv6NRBElHkPPp1kN+b43DXnVtW3OrrX52qM+x04H3PVEjXMrFZK+h5GayFcIKdOGlfTvkWU8C3+ozOYjGrwMcsZ0ODbNkZRTnWl/LYl7HhqILMK3CGW4+dIh3/PmNfqtxyZb7W/7caXCD/MiKvdFAf6fPvIQUZy89/MPx/Xnjm7j6090uWZ3l9fc1OeqPTFbp2L27k5QVpJEKcjT5TBbIsfBTfq80Ggln3sc3NiRgNJJEaevvSAhSizHTguePab48iM1njvu88LxKu1hwDAMwPNRTc916CuoaUO15AMHOqvTyMpmXV14kMoS31f4vkwvAFtoby9Jh+47nV/xI6wJWVyVDG2A1hJfWnTJZhsj8KLewo72O4axh0AzNx0i1YBu5NHTwjkdUVEwppUZyUBKUTbaU3lIJhUzGVT0UHqJysdP9IY+m6dCdm6KuOmSIf2wz9873uK5Ez5ffrjCs8crHDtVIYoVBAorFUZIRrJBI2Wk5TFxWRrK5hp8ZJkhaxC3KaitKxzPQB4ZNIa9e0K2TcXs2z3ktTeFXLXLsmuz4oXjZ+lf+AxC/je6KJ/41JdYXu2orz32nFhbqiJkladPVHn2aJW7Hukz4cXs3BZyzb6QN9085HU3hmATPA3VOliTfmkjiCM3pyRP5OCAPnKZ5wDPgkmD1m6OiZCGKLT0Bg74J85I/vDugF6keOqFCkdOByx3fYaJD9oH5aGaCl8KqgpqylJRuHFmKi08Uo61fU+4pEcZ3J7ET2VJ4EPgk7omLmXuaYPvxWlGNKJaCbmwlvDlhxq0OgFTEyIdBW3zoq+LWWp5ZV2uxSXDoWJ2RvHm2wfc9VifU606fU86maLBiy1elHnWqccuE2cXUp51IvO/Yawu/Q0HdD9RJFoRe4oo0USRl1qpEXU/4lXXxNx25ZB3vmbAodOSp/d79EPFR79c4/iCB0LS62uSUKXpTonVBcDtSGtQmrov5/dLaU4RG4SxrhndGqo1l5ATGF5345A33Tzk6itCdm1LaGrBTE0TRhXWuw2mag1662dFdfJ69fxTX46vvuGNfz6ACwFz041f80X/utlaQjfWDKxPEluWeoqlJOb4SsJDzyV8/Csxc1Mx1hhuvDzkPW8YkKS7A89NGm64Zki9AliBuNgiYkt/NK0pafUETz+pWWm7qr1H9nt89v4Kg8hNSTq/4GOEJrIeRnigNSLQaCnxlaAqLRVlCRQEyhIo62rAder56oK5/awvMwe3Sns0Rc7evmfw/axAK8nZ2/cjlAr5+pOKT32jgfK1s9tG9PeLM3jmhTsdLokSxWDg8faX9/nMg20++rUJunGFeqrDvUyHR1lSxubdQkJkV1LGoLKk9UsAN47JY+2Y3NOKWGt0nDigqwSl3CD9qUrMy6+Iuf2KCCuGvOuOHoPIjXP7s/sDHt3vUw0Ey23F08/7tLsSIS+mxsdPuCutrVcsN1wfMjuZuMaXxPCeNwy4/rIIawRzk4aZKYtCYlEksaY38BmEFbq9CivrFdb78XV7Z5u/Zi0/+udi8G63R61WbX79q5+74rIdqLPLhsGKTZclH3wBNsGYhKFJWGwZFtfd1XfolOGzX3fPrbFMTCXcel1Eo2IweaXNi91EOvFVsN5VPPasT7ulkFoyNJKh1Y6ZhHYdzFIjpEZKiScFFeW83EAafFkCsyxm9DmQi6LhQbtGgKzxuAxux/BpWa2XMXhSuscEOsLakLPLPuGwQjAh8dO0t0qr8kaymFlHD6OZ3oxZE6MII4+phmLHbIgvBvTjgH4sqGo3BDOrIckSWkqWy1tl/rfc30jjImOK7KkxeWd8Jo3iOEmTYiotcYiJ4gQVuTETWiVIFbN91qQrhuHKnQNC20dqQ6sleOxZj/Wek00jJYgvAnJjoF4x3HZdxMSkxSbuWFSlQImsaM/DRJIoDZSdnNNYBJ4Xs9KxPHfUKFHvX/Ed3/H2Zq/dbteao3MNNwBcmnMMe/oXNtWfv+PtrzxNLPt8/YUZrFcFqZy8sAZkFhBkUa4htoZWpq2kpb1uOf/1THB/s8bo0eJjKyQm23KB9FGoIsiREiXczL1AupSzL226BYlN558UjJeB29Ouo95tvUcObtfW5bZECXyBr8lLTB2Dpyyu3Z5Ano7xvIggiDi9bPi9u+qgfTwpigAzlydiA4OXM3zZkFAHNjdYJ4w83vfmPp++t88Liw26iUctdpvSuipAW3TipHvy5H8rXw1FoQSMLBV4ZXeT18JorfCShEi5jKkr6HJ2ZG7BqiR3r2QaD2lhETZhtmb5tlcaECaPncgfL6bP0nNuBTbxMHFxMcaJJMrMinx0xWhcJ4VhemKN+w9IPvUVnztWj9xxyb4zvxBHyT/8lgy+fPZjSCn80wvPMxgssbCuMdYgrHX1CNJparfUpstNBmA7HjxA4pUKEL4lwLNHmTYzuEgti9a1AE+krCycFNDp4E73mDXVlgqJNKU5KA7kvi666guAy1y2BL7NW9p835QG58R4KXv7OkLKkJMLgqV2BaE1gWREnsjS10q/Ze4klIvQyvo4ThRh7DHTHLJrc58DC0P6iWaQQJAIvMTixakOj8mdpSKzqEbJIgWUs3Czhm5RkkYGnbhEndLZ9uUZk2dDgsrANiiRTcYyedKtnKNApFGAePFznudAbLri5OUb5QSh3JBDccV1bhXZNrPOjh2Sxa7gV3//s761G0l0A8B/81PnURI+drfi6Nl5rKpg/AoVJfCy6rXsBCFcYseCwUXv7nhmoLdjquRiXzhjHfJAKSvwcROpQAub3lPQphIge54/pg0GOi8FJW+w9ZWbv+GNgFu6Rz8DehZ8km9P6KdNEplE8bTTp74fERPx+QerLC5V8SYUfiZNpB11UMZ5rKTBixEMRdJnMHQTbN/2ii4PPjOgHVfoaU01NoRpOl3JoiCqyDIais6hjISKOnxnHaYzVSwkyv1NbQSxEuhEprvYubKHDOijCTWbj32TwqQFX7YEdncJF07Yi9NaAfKsjEOOGBEbcijpJSulhIHgfW8c8n1vPs/ZlQ4P7Xd//4PfDOB/9Kd3MdmsvPLX/+CBWzotScM32LQ+WFOMFcigmvmZSfqhklIaNp0jWwJ9Cd/lxEAJABsSCZBn0WSaSdN5xVu6G7HMHkU+CqEM7HwOisL1I14M4FnAmelunckSm+rt0Vpy34vwvZCFluGJI1XQPjqVJ7pUoDSS7Rs5dmKk2i4fu5BlHRNFFHnceOmQmck+rbUavVhRU+DF7ruoxLp7VAZ4mjPI/5AsgScFu7FF1acyJEbgGUGiJIkyJEoQpyCPZVG8JlNnKKvWzGbcZDvkiVIyLp+UlZ/niwC9nMUusTf55x1LCpbyJkJYwshHyirWQk0GvP6G+Vv8qbe88tj+73rgkivfdHGAR2FEq22/ba4e37C52ieq+AxjO2LMZ5+tXB1oSqw9kpId+W9G53QXlmBajpk9z4Fh00AtG95j81nimQRQqRzIQK4U6KyDXjpZovLulQLYWfOtY+9Uc2tyvZ1Zgo6xC3B7qf7WOkIQ8bn7Ax58roEMNL4Ubv52XkFYfJ8i0zeezSyPRss8cUViFP2Bx+1X9/n2V3X4rc81CJOAbiKpJG5PSi2LasVcpkiZsnj5T70Yk4PRMp1HI0iUcSyegVsJtJTpgKCCuXOQj5RMpM0XOdBLWegRoGffvFSeUQJ6kQQcHR83jp+8x9cIwljT6YJX9W/Y0ux9m0niBy7K4IuL52k06m++666v/d14sMpkQzIIDZ5yVV0jHRnZh4ARJhoHdzmhY0vyROTvuv+TjC3nKTDKdcmy/F4+ii0DOimDk4+H0LLE4mk3jKdGwe3GKYwxd9qz6aftbZ7OGg7i0j0iJOKPv9YksQEqz16WA8yirzFzNkY0OKI0SiGd/ZfahS7Y1Ag83vO6Hr//+SHrJqKfVOgnAi8mZ3EpLTIW+T6jzi4c16KyOHelqj1jBIl27WGxEnjKkGjXB6kTSSItUhmXrpfGBfcZoPOsclHZWYCctLxitNJoxCotr+gl0I6sNnmRlhh7v6ilH0aK7kCxttRmqPp/98Zb7rjn7Nlzd23btnUU4EpGYIeXeqq318Rd/HRoPcK6WSZ5I0PRZ8c4sEvgz/oPS19nwy2rFCwD3BXXU4xYHqtLLjpPin3rM7Bne9KoVJYoNTbsJgV2NqvcK4Pbcx33rjHZpsxdBJi6xN6BF/LEEcnhcxWs8lBS4kuDLl+UqU2YO4TjRRrp3dhiH6HCr3Ygj2KPvVsjrrqkyzcOVYmUTz8WVCR4iUXHIi2CSrtw4lSHIxEYRv/kxlbCYmwH6DQOUMamUiW9YBOR7kAtR9jbMbcs6vIzLV4qs8hX6g0FWRtZfAODZ8AeCT7Lo0UEiVFEaRZ9ebWLrHf3dnuDSweD8K4NDN7pnCWOqwyj87QGQwZRLR/5q2Q2So0xTcdF2TtD9rfwTcrZ3Y0gL+lKWWLqQrKIontekHe6ZEye7XtZ3v47A3h5+I/rticHdp6tzJk7SbcLT4NLHWGJ+JOv1VhZqSICjS+du6PG9fd4gDnigxctWuU67tybNm6XhNlpybtf3+GJI02GSYWe8qkmTouPlLPGpVJWTOqJp45WyuLjDFmMxyu6aByZOemSTSVQyqJM1lwiR+RKcZ7syDkbAXh+wl8EEbYAe8HcYgT45fezoNykdeOBZ5lsdhnGiyyvnSccDvJ/Ogf4v/y5L6GUZHlljXYrIPBsLhWMBStH2Tu7mkY+ROlqvNgyNL5UFSC3FwF3mgUugUWNDPUpZg461i4eHcjTcW16FOC+TgcAednWgWlSSFu8PBVv0ufJyF0r17nzwkn4+N0NhtJHSZVmL0dnsoxnMC8aY2VAH9HhqRZPFHGiCRLNu9804CNf7PHMsSqR8uhJiZ+Y1D0SyKRMBKmdm3nRkIPcju1bVGbyAtwiH4TqVkaDTLIRE0X3VN63KUtavAzu/DyXGPxiIB8BtztSI0qg9DnH2yDz6Q0Cts97+JWjDM4vU7YLNcALh89y5aVbaz//H35jzzO9FczAgQgxFu2XdfiYNMkswXGQvyiDl760KD/Ki4FcjMiTrM46H3dQGn9QntqkdQb0VHurMXBn6Xsva0w2bmZI3iKWJj50nN4jlBdy+KymE/qgdCpP7Fh57Nj3GndRSno4B1s5lW7KiR9N3RNcsW3AM4dDEhPQNz6VxNVs61SDK+E2a812sRM5sLOGiOykF/5yNq5Dp9MNMlZU6TRYF884xk6MpSjuyupsipbBnL0pGlPEtwJ3GeelKtMReTKmyYuG9uK/EcAw8lntVpie27Hnjd/2/lrU/9GeV93pAH76zHlW19bfFFSnf2J1vY/vOz+63JCQVzJax+Bm5MOMg/3Fv8pIpUJZoqQ/yOqnM6CMDocsGghcuWjpscTcsiRLyrsYe4rUC3fgdgAuhgJlDO7pMfbO+jr9kNWO4f/90wYr/Qoi8Jw8kSV3pzzo51tkrItuc5Ee2zKDO0cljjXNmuYffWeHrz7RZGXoE0pNX0r8vIeyfHFZl0/I3Ath8jJai0nBbbBIRp0V928Za1HGBefGgjRO9mVN3aPALsBe7pPNwJ4Du+SJi29yLDKgbzQyiilnZkSuFECzgJY9tm9t/kR75fkHorD/6ZzBDx7YT6UScO7sKQQJvvaLLJQtsbcsjVUbYaLRgPNbtqCVwF0s5aNj2DYAvDQtdgTganTIZnnTKy0lOpUkOgd4prlNHlR62pTAnbhOfDXK3p6K8P2QP/qax/NHqyA9pJQEsmRnilENnn2hF60mLB3DoqO8AHlsXMtZHHtcs7fHO17V5iNfrGB0QF/6BFIUSZ8xsI0zuSgz+QhwimXfKFDWrQrGCpRxAbtJ45xECmQ6zD8LpkWecHJ/qxhnYUfiqwxPYgQE2cFgVINz8VXuxRg8jVmJbMSZM+foD33i2G0MoQEm6h5B4DFR1zSqAs8XG1i5GF+c6R87eqXZ0olL/+BoqCmKOKPE2GID0DOAl1lclPRtGeBOnsgyuKUsAJ4nejKAWzcnO5UinioBXG1kbq0ce3vaTa1aaxn+7OsNllsBVLwxefLiEgUhRs/pyLEas+3KnTipRIlizVRT8R139PjMgwNWugGh0vQTmdqTomgpE0XsJEaOv8lLLLBgcjYvSEvZVIcrgbYO2IkpdseQ0rG7lJZEiMLdkqVVN9PkI0NRLSPTY8tAwG7Q4SMmxgbtTb7nqin9LkAcaZrDgNhUiRP3XfWhw0eYmZna/eBDj/744uIitYqH0uURbGUHReSjjctXmvtDNmf78mEtX67lkzwyEqyUni8z+rgsEdmBFmV5IooOl5S1VRnYqtiLXmfMXQb2ReSJ1uWkToxWLnN5/ITg0MkKhgAhnXuiRVE6MOqgjHa7ZDS+IQGWn6R0EkF506d0uFKcaLCafbtC9m4ZsHKgik18x+JJ6vmXXJwcVJQLvdI1PiujhVRzllLkFqwsZpNksY2RYNJVIilLMVNaWfMA0+1/WpBW8TkKgNsSGgprkJHjIkZiPnORwLhsXTuS1SwtXWDz9it+/Mrrbnvq1MmjJ3QcJ/R6g83WmDf3uus06kFa5ebaiJL8H0onhsoi2MxYXJai379wgFkCulvqynPyRK5ty0Pt80dVMLjOffDyPd3SWpXBXYBcq9KQIFWwt0pfax2hVMTnv9Hg8HIV/EKelN0TMcbe4+Mixm+jgXtp0ydTqk/JymhDzSWzIW+7vcejL9TAeMSJ0+Jekg75TEalUi5VymyZBp7FZgLlYUwOzNaK/Dw7cIORItff2fM8IZc5R9m5lKLkjGXSs6zBNx6UET09JlPctIbSeAmTVWGWB+07gLd7a1yZ2DebZLgZm5zQXnqV1ipum2qlNFFsSRKTbulX2idHlsdr2ZGrzH0wu+HDjiK7eBApfY8s51IUDkpp2XNZwVHWvhiDqzK40/mExbYdbAC2l88tTErBpUlBHjt5oiKqtZBvHFR8+ut1+gMfahotBZ4YlSbjAWY5zrgowCnYqdxdPpLwSQPOKNZMNDTvfO2ALz7Y45GDPrbu0U8CfOEqKZVI8wOlYE+IMrgLkJe3nHLBZ6p1lWPzRDo9ngG8YG73nkznpgjhfla2c/OLnYsfhxcNNMeYvDzxyppCxhWbkol0Vz53j2IYDCy9gSFKd7vQgZfgqYiJesLWWUE/kvSH1m21HLuqsWLfHDAidVHSkyJHgkzx4uCG0hVcPM+yfcXSKnL/uwzw/F56rdJtU3QJ3AXIs7JZi07HBRd3UxqpXMwudGzt7kq5ANP3Q6Iw4YsP1XjhVA08DyFVCqoswCy2AhFylMXzhbj83cusndmrZqMXnt0zuzAMNVfujHnLK7o8faLKMPZJpEffKPyE4rPkq2EW2G0EuR37LKgMTG5isMo0rxRY5c6zMQ68JltdM2liRvdkEsaOOUklDf5NbaVx96QAesbiZWBnm1tF6UiN4TBhZT1ieS2k3QnpdEL04ec/jZCKaNhhy5xlcdWmdA+uLtuQJO4L5bueWeF2SMsDz1HbZjS4LBBdtgZHkiClg5EdmKyWI9uKZBzo5ZG/KmfsDODF5NRcouhsTrhJnRSTAtqUgJ2ydxpcahUR+CHPnRTc9WCNXt+Huue2SswrGbME1EWymKUlusxdTsmVAixrR7RmeW/KpFSAFUYejUbIW14+5DP3Dnj6WADaZ2AkfqbFDURJ2bYDkZDWhoh0XKsozo8qgKRV6XxKx+bZqpIn10pAzzLKIs105xc4Ipcvo+f5WyS+xoyNPD2fBZQlYLuRGw7cUWIJI0NvkLDWgc9/5VEeeuIAcRyjH3ruMGEs2DIVs21Ss7hWye031yvqUr4m3SLQiILJZRncOcCL7eFywijDXDAadJSDzFIHjHNRRGlLElFijaL+xLkoxfBInb7OmFvl88GzkcEZyE0+oLO4u2ylVi6p43kRsU343ANV7nuuChUN0jU0+1mavAxqxu7lFxcjrA1JM5E3SBWOihwB+nDg8ZprerztlT2eP1khjj2sUPSFxkuKzyMMyKSwCkc/xiiTF3/fuvNOweYOBwJpRK69M6DLVLZKU3ZRGHFyKJ3vYhUreeQ5uMeclDxHMKq9y2UFccrgJnE9nhboRZbtlXNsmT7LYAj6+KkZLJKFhZCTtZh61f2jGWNmWM2EfF4SmQcmxaZC5cTQCIlvkCZiRKMJWVTeFdKkYPIysEcKrRQloNsSk49JkhzcJd1dCiwz58Q5Ju5RqQjfi3jqhOTjX2sAPkgPIRSeyJosbOEHjzBWdgFnIZUondjirJYdlfwEpi1axhpMIjAqHf2Q7xOvsVbzntf1+fJDAx476iYJREbRS0Ra8JUeHzK7LvOky4wzyuRloGcgU9l5VekcRJsxuCicFMvo9zflSsrCDx8FuBjBxHjChlSWQPm4jII7nx+eKgkhBLWK5tYrBXt2uN2Tk8SiZyZctitOt4NWabuXSAGUb2ORRuNJ9mUuWkJbligbmXucwTMQyBIoRJm5R6TJaMReLpnNJEm2bYnbnqMAd7a7b8banhp91Jn+Vpn+jvG8mCiJueeRKs8eqYLngdSlxobREyvTC3WDDz4mTwqJUjzJGyDKmcVydWHielRdKa1mGHpcvXfAa251LN5PHIsPhc/AgE4yP1wgUkkihIVk7CLLqvqsxaoxcEuwyuZaXEqTPndjIawVOYvnzJ3FHyXQj7B3icEvmvyifDzGNfiLgDu9CwmBkvha0u0lREnsqiT3nwxJDNR92DatRoucrJMiQggHbNwVmggwQoApWtJGkz2jEC8YbaP3LShswMw7HrUGS9nM0o5l2S4HmSQpunkKcKuRgLIkRXQxXlmrBKVLAE8liq8jDp8X/O4XGwwjD2peKk/IW9PUSOaw5BiMBBsvIlHsKNDLMqWwxV5Mi2vqgeT739Ljc/fVOXjWXXyJUfQS5aoMkzTbmIJbJKl1l6+xBcjLnjzKMXf+mdIAU1m3YWu+otr0ngaz0opUqlzcSRln8LK7kh+SsWRhvrqVdLfJZImxJMbkORopnLUpBOzaGrNpNiGKBOoPP/JfNm2erv0/q0vn9zVqkmrg6jaUGk05ixINZ6AcvUJL/ZRCjOpmke3glT5Kmb/vyi9L741Zfvlj1syQgVkzFkiSArcUWOa+t8nlymitSWn3h7SRIbsnMuQjn63x+3dNQhCAqqCUpqYsVeX2uskqE72syTltjSsyqRszrEVZb2kFymOJwnbMqveEJG06yEpU3XNhDTs2h5xdljz+rE8sFAiFFQrXoG3HSGQ09hlfVUaW2QxwuZoalzF2TNKM7uDBxVb1sfdGkoR29PmGvTdtMVbZJDbdFtykm1Slr63T4UJAGPpMzr9y89z2N35FD9onJ2fqnbdeuj1GSt99GuF0uPMYBSIpX+/Zt3b0bqUdqd3daJ6MuyfljY2KC6J85Zc7eEZYPGtdG9lFLdPfpZT5iP7OwJ1tZ2Jzts6swEyW6NQ58XTIoXOSj321BlKDdOydd+6X44DyZ2SMtUrslb8oybiRk23KyZ4i5tGlzKaxafpepVo80Xz363t86p4a+8/4kI5VGxoPLVwZbX5s081uRFJyUMYaD5xlWcRVKpUvymaPYEVJSoks2HR/x6THwWZxlSU3JsZ1+GiVYfGRxle1EbAnNt1a0O2QnSQmzdPYXLN3B4Kzi31UbfWtK+3jk3qquUJFrWJ6Xda7kjAqRgpEiesSCSk8b2lJi8RxNfSZjypserjKLFDokhzc6etR3b0xSZD1NhYp+qJVTY6DewzY5Q2oCpniNLdKrUFVkigO2AXIExXz2Qfq7D9caG8ppPO+0w6a8a728QxmmTXHudKOPL9ISXLZE8/a2YzAJJJEZil8J1WuvHTI21/Z5ejHAsJEgtAuw4lAUfLFEUgsUR78Fq1ljBCUI6yMpaUtB5zpRZ0+FzINQjN5kIE+DT43ZKhzYispt2/iMEEJ4CM7KDtwR7Elih3IHatbogTOr4Q0N/fp2R764/cHND3JJc0hjWqNyBfEsSCMBSqSgBzZaju/QlPGMlkAU7J5iitzo/dddlHGwSFLgC5Y244ElyPbBL4YwGUpuSML7Z2l3vMtTkpzxZVyk2o9L+LYecV/+WSTgfRSBh8NLkfnnoxuiPUt03WlE1gs3w7kxXPBxVL3iZEk1oE7MZo48QiSmH94Z5c/vafG0XMaVIQ1mlB69I1AJdkFZ9Md00rWVqa/1ai7o0r+vHIRZVqMlYLZ2py5rczS+ulqIdMMd/m8Si6yem98HGeA8kVf3mDWpBn2KDYMI5exjGKbZzSFNrzmxpAb9g3RN+3SDHpV2utNNs3GVIUljiWDUNGTLpqP4yIoyD5LttpezPbJP29ZijBupY0x9ziwBYgsU/hi4C63VGXAViXXRG70upUac01GvO+Qdmj4rc80OXshAKVTa1DmA4bGi6pGpMm4g1I+oS8G9PxEihzooy5KdoKLOex5M4R08/q2zQ15/zs6/Nzv+rQiFxBYIxminG2YiBzk5WATUciVXFdTNJOrXCo4cGNdLVIOPOlGe2Tgtilz2+zCT10la7NjYTccm1QRf3MmtxvfM8aBehBa+kO35WKcuK80VfFZuNDgWdVAX7ary6C3Tm91mXrNJ44VUazoDTyE8AkjAaiRmpMMwhcb7FIAe+xqFRuX8hFJMiJH3AEa2QxJFs6JKt1lOsGqDPAyuFX6WumCtTM2z1hbpRWDXhDx0c8FfPBPmgyN5+SJULk8yZqKy7Un4xnYcsA9dlRedBne0Lg90paVraBmYwrfuK3AKzrmR9/V5dBJnw9/1gMZAopESAYmdVOS7JxkaXNbkFMZQdbm0aUFrHRAzz6PJNXk0iLSCzJb1TPQ56SVgT3v7ikbEnYUH1l3jth4jIrCgtIOzEAcQ39gafWhO5SEiRsMKuSAPeeG9OwQ/aVHFSur0JDr/IN3WPphQBRpBkOfxdU6650Jwtj9Y86eKU0ZzLVU8anGQS0g75IXFwH6RllS1rb2Rdi76C4pA1umg2pycMssoDRomeS6W5WDTBWjpJs1uLoGf/rVGmvDDNwO4J4EP52sVU7L55+/ZInJbIUrw7p00spAHgd5eXPcvLA/2z26HGymWlwZhTFOc0/4CXe+ocenHqix0lEgIzCKCM1QiNE6ldK5KujTlj6j0+GFXehqzknftzKVKBmbC+GCTxxQbXrebAno5XqjvA5JlkGbBsGWwpgYowgpAOXWHy+RGAznVuF8W6R7i0I3ivmBt17g77ymw/TUJLrXq7DaCjjVsTxzooOUg3S8l0dnEHHmQoNun7zeOz8Y5QCqFBGXAT7SWX4RaTLaWGzHJEqJtTPnJNtRTY2yeFl7ZxvAuudJuiNCkYpXpXsRWEZ4tZjPfb3CI89WMSXtraQsFVbZMXlSWnLLgCndv3kwVdLBpYRPsafki1QZWokq+eJx4qFNzG3XhHz7y3r83ud9UCEIiRWCgdGuvCG9AMnZ1G78LBSiJfvQWc9tzqgWp73zuhWbM7gQqS63qT9eArrNz7/7+zYpMXmpGCuP5nJJnErgdDXRyu2Z5PuWs60W80GMJEEYg1BDrtvVZq4hqfke+s5Xx/R6A+56IOKf/Moc1lZBKzxPMV9VNHXMdMPNz3bVe7JggYtIjotr0Yto77GahZHXyj0vehwLzS3HgC3LHTVj4HbPC+2dbzGYyRPp7oEXcfSU5Hc/12Ch47v9rqUb9K4ErmtGuOzgSO3JhrsYAfw3UScFm5OBe1yilMc7FDLFlhI/Ki2lVdJtf7KpnvAD397lgWcDji5KEBGgMEgGQqIoZ1otYlyeXIzJbTYSOXVRZGEbZpMWnKpJZYvILoAUxLYsRcsyJX1txQjo3R9y2VI5jjFR5EcqvuCyScnt1xummm0qQYivQxAhH/pCk3NfqrFt3kO3h0NWOwnPnmry6OGtNHyPigdNH0zToGeh6icICR4SjfOKxpe6bwrmDYGkHXtdMLYQhRwpWNyWwM2LsPhFwK3KersEbpmgZYxSbojmMDH8xh81ue+Jquttk9ppbynTrp1yY68dlVLj37/E5GU9OQL6MrDHkx8UPvRI+Wwpq2msKYFcOT9YalSsec1NIT/ynjY//Rs+w1i6DJSRxMKjL4psIyKLob4JyDOfMANd9hmFdR45JV9cphKlLFdKrJ0FmuUtyEePWxb8Fo/5GiIyXBRTEaqB27B3+2yD2UlJrTKkEgypVQZcuUPQswPqtQH67kckp89X+cZTc+zbrPGVoaLdnpH1ihs1bNIMkpEWK+3IqSpX0W0oeBfj79kR9ht5r2QJjgaWxWiCLLs3GmQWOxtfDNy5HZhbhKXgUsZ4fszXHvP41H01hqEHVe20t1Q5e+fb6I0nocrMTQGcMqA3Zg8LhJfTLS5ZNlY2azIpkDJ5IkmkQSUSI8d2uEs78Ku1mDtf0+fu+/p8+TEFKnIsYiSR0AwpHBU5AqNvwuQ2CzZT8SBTfk87fzJAZ7LEOS1uxbMie/xmQHe/kxeypBefHdPiYgwnYSxZWvMZhoJq4ON5NTyd8KorBzRmLZVahN49XyWwNU5v8egMEjcARrndDyq+mw4ls8hp5GuLDVdi2RERpeeZXzzumOT72IjCNRF5YFlizHFZIkgHtGdMnk1B3QhupRJkyt4ZuHUKbt+LWO9aPvdAlYPnK06aCFcSK/LEDsUEqXKN9cVWJ1FkDr+p91XGuaPB3Gsu14ZnDRF5HyKlSsNSGa0UCpkYpNREQ80VmyO+/VVdHtnv0wqlOxmkehyXylcwCm67EeRZM0YuUXAgL4PekhZfpWwuRGlmZYoDm3Vq5alAm1asipzgjBwlyjw7nuvw0tFMCSCKBf2hAiCMJDqdq7i43GSyN02tOYHeuzNiojbk6NGIA8cDqpVi5LCb3yfyRt+RLePYCO4RZh5LhsiRC8COPFf575dZm7T2YlR7j4M9m3w6wuL5mF+Ty5Jyj6WSrlPekPBfP1/lg59sYoV2vnfqnDj2dvJkpGQgvTDz7y7LkkSUltsSGb4Ie5cbtAsNLkaAXmTyRDo/JdPkKcgThZEmlytR4iGV4Uff2ePIOY8PfkoTxWmNgZEYBEMhybaOzbW4sAgzBnIrColS+vCZLs+BXOrjlNKmkynSwDDrWErLnW2p4yhrwrBpUZhM1YE1aZMzhatU+PPpprGJ6zoTwjVlRLGbihv4lhMLQ4JByORkhP7k/YZzi/Dks4Kd026Pdq3T2X6qmO9XdLaLMWZ+kQzkmDMixDhrj2ru7Of5eLAMzAInQ8pMrkr708siHT+ixUvaW5ezlWlg6fkRRxYkn7qnTrfrQVWl7K0L9h4ZBzE6Xm7EIaIAefmNb5XkyZnwovdSFlOWa1TSyapZNZ8RSCOR0mlxKdxMw0Y94Z2v7fHF+6scOZ/aUTgmiY1ggNsLRxryfEYmrnIXI4vySu6KSpmaVFZl7knO5tl1kUmNNDC1JfuQlLltJlUg9Z5TZ0eCNGI0iM16gm1RURimQWySSELlNjewJLz6+j479qxTrWv07tkalaTH2qxmsqHQKtNEWRlq1sFOURkoxGjvYVmbjvvZIz8vykuzDGUuSUakiR1lc1m4JdnQx9z3lqbkgZeCyhTUbgOl4j0pE5SOGEaGux+u89UnqxCoNLDUzjmRBXtn/nHmoozLr3HnJA+8v6U4uSixj9wZcVJKqXsr8q3Acy1uJIlQSOPu0VDxhhtC3nBbn9Nf8BgaCSKd4oMgFpq+KeKE4hNkr23pMwlnLqSvdSZXbZGqdwBNlyaZAj+zCU2hsTMpI9POewzpzmzuuZRuNAlpbUu2eol0hTHClWuLpBg3FyfZjBZFfyDp9iapTm9igln0Nft2rk9U4y8OWs2/E0VJXp2VLZ9FB7ssGg82VPiNgjsv8yzZf/LFAF1K5mQjwTKAZ0xd1twFc7vZ1dmelGrECiz8bwf0OA0s0/mCfsx9j/n8/O9MkFgN2ksrBjVCjhVV5dagzVelPJkzpsPLEf9Ifco3Ye8yi+fyJR2sNJr4SWWKTIEthNtcyhR63AjnjUujiWO3v9BP/mCbg2c09z4qMX7B4tYIQpSTBsIBsyxRStu35pesyjx7mTF5lh9xy1oRTjgAI0m1duYVugZlB/S020iCMMXPM5Bn6XhIdXw2LqK0KlrrdhUR2fMEotgANeZ3znxxftvedfU9b5/vNoPFo/PT9kccuF34IaQbT+y61+XYcJ0suzjaYVP2rseLo8qBY7YbQ/6osp0aTOnno5JkHNwqL5ayI06JulhhVdaKpiK0ijizJvj5353ggSfrblMe6ecA19LN3w5KpbEbardH7mn7lnIkUEyBKjdIZzmEcvvdWPOGcMdajK1m4yXDovS+KEm7fEZ3LqcswlpmZ2ICbXnkGZ/1fmnZTfOuJr0iZf6OKEG6cIRG3ynD/sVf5RHiyNOCCdIi1DyRU9JJ6a+mJQ+iWGey381XurSsO4qhP7QsrkScXFI89uyFH/jyfc8f1MuddaSEwUAAAZ5WJInIr+KsziKfQSJKJ+VFwH1Ry+8i+vtiU0rLzkkuV1RWolpi65L/rcrgLlcIjulupWKSIOF3PzPBp79ex1YK3V1m73wcWx5fbOyYL8uTPKtb0iliw3l/MSoXlGc7Zt54ucpwQ0NAqsuzQZRFSW0mVSQyUSRCI/sJd97R54VjHr/w25pwJCp2/Z5DI5AbhMpo1WEBVMfkZdDmLkoqWXLHLbMPUy1upUN0ZiFKCQlu36Ci0rFgckY+T3q8LcXPbFED4+aiuF0nmhMDl8nFor/wYA1rBb42bGq6raszH7Lodhej8uRi4FaMSBJVej7KRqVppLJIvxegHp1DnSV0yvvDlFk8lyEp0GWmuVOgZ7XeOvW+v/xYwO98oc4gSafgyyKxo1Jpkmvv8lCfLGguS5Lxe4HvF8H1KMjLhXLZGIkNbVslQOdaXJYSQDIFt7DOMkwkRigSYRDGII0m8Aw/+G1dHnra58tPOrswkyoACZpB/skzK28M5KVqwjzwHAO4+49cItBmQ23TXULcc3eQZNZUQ8n/JtPoaQPNGMiFoLQzS/qH5UbamJnSXL5HMDUhiWOLvu6SCtYKPBUR6JDlliHsuSPrmo5lfgLHWVtdBNxFFrLMzFyUsQvfu7AAZVbzkUuabN93s8EWvOi95JpIFSNlgpQxSkf0hvCzH5rg2NkAm4FbOHALIdI9OMndm/HY4kXBnYM5FajZOdiA8NEkWbm756JZzZIXXgyg3LhxlRG2AHoWdErldjU2GhkaLtka8a9+qMVD/yKgM0g/eBpwOmdFMYQ8+bOBz6UAk5bQphekEgWTZwkga9IUv0jljqCUdk/rycneK7S3TduDpHHfNxkD+ThxCOFcpWyHCyWhN7CcXkgIowrNhuf2AH3VLT5KafqDAfc8foEnD08w3/CoVlxQmUmUDZ3sJXBvKGtN9WHx2r4Im5uSvCnZg1mAOSJLSs9zMJc2Jy2BW2YJnTTA1DoiTuA/f6LBkwcqzvNOexiRbgdlJVzFoEvsjAWVY/LkYql5kcqUcmaz0I1jGB+/2YLNs4ROPoqDdHQZhS8+MkuwJFFs6ocLIRFGIkXa4iY00hhu3Bfxj76rxa/80SRhkrG4SNtwIDaKAZmPf5FyWunkxAitYksuSkmuiFGXJZ37mTonJQ2XyhKRdrhbmSaBsr+dgrzMFUKIkelZWkGtAnt3tHnwQJdT67uZNhPESYy2E++gOdngofuf5iOf/yyXbYKpiiEwIv8OcjzQUhcHd1YnssH2ywAvyrbfaGJHlEBe/I6hSOxcHNw63W5a5jZgocFlJlEqCV95uMKHP9Gg1ffAz7S3B0IjhEi1d/F5R9yhNIgbBfdo/Tcl0GcH7qKqWxRsPY53myOkPKYaN2AplSY2swhlqVZcFh0/LlUusalt6Ow1g4wVzYrhh9/V4/HnA+7+hoJa7MCWXoZWCqK8o0EU1t8YyEmH7Kg8WHQgV2ZUl7uWL1uicPefk6XzM697gwanGIySme/ljePSBFG2hY6UbuPeZs3jfW8Ysm3v1TRnbiGO2+iJepVGrcqWyQpXzGsm6lk3eOGcaEXR6KsKGZI7JSPlrJQ6ccpALgPepr8zLlnKSZ4ikCx3k4+AW2b7pxfMLbN91dOKQaljDpzQ/JePNziy7LnLXRTSBCHdFuElWVKk5Iv66ZEAkxKDl4LKEZuwrE7GaNyOP5YDy9LrskwxtszgqRYXKehz29C9TlL2lrKoU0mERkaWvdMx//DdHU4saA6fFVidIdF9cGs8IlJXRb4IyDPNnDO3yAuzMjaX6aMVaRLIZLMO06xmqs1tDv5MvhReeqbLcX10qZ4HgSHBVbW6/mGIYsF6O6DTnaM6N0V1qs4wBJ1lxYwVeJ6gWZNUAoXnyXyIfL7Zasnay9i40OWjYFZlFi8DeSSgLF8IY8wtTInRS+xd3lq6FGAWiZ449779IGKhJfjZD03wqa/VnO5Wo4GlTJnbz75P5hKV7bkXCyolG6T2i3klF5UmJXlysdcXy2zK8d0OspFq6c8zFk+ERCSOwY2xLuhMDJ403HlHn9ZA8BO/olhclxBE7o8a92Wt1QxNFsilzkXWRp8Du5An1rjjlXvn5aCzFGjaNPjMfmZlqsONSDFtc7bIgk2bui65FMpv6XaJAsJY0B8KlFTUAnIsKJWgo0Rg8BasFXft3j73Zk3PAVxnafpsMyLSbOKopz2isUeCykKaqIto7nJAKeRYkJkHlimoRWEPlvW2A3LZFoxTaeJ0d4jhsw/W+cqj1VKtSVZQ5WzBrFtHjUmSFwO2zDTgGGNn71/Eyi0hWFxEk4yBOV3fC6uwNIMkd1Oyjh9bdPsIl9WUphxw2pS93f6ZRliS2KK04U23Dnj7K3r8/hcVYYyrKsuCTsBKTZjJ1Ny1KEBuU0CrrG0x09m51CjesxmYjR3xu2XG6KmdmGv67GLJbMd0BSkas0kncbkx0K7oTDAYWnZuncPT6q7Jpr/QQaF+89f/E++98xXrm6bF+mQ9+d5Oa43A13jpRqk63demDHStRhM0UpUTOKXmhPx3ynbfaCe8vFgSR465JSrLYpqiiKqU3MlkiZZFG1oiE/7svir/9oMTHD8fuL26Rdqpo9JREKWkTlYWq6Ubal98j9GVqkjkZPGHKP2sGDVX7ERR5BCyn2UJm7zILHsslQOMFKyVssHl5M5IPYy0F40VKL0m/TkGppsJV14acfqC4vApjbHjy5GTQCaFdxb0idJVXQSho8uXyP7Y2Ko1cq1vSBaMLYXpGzYl9ZHCtPT/8oUl7bJfa4d49Z0M4sn/7clnjj98622vcXv0dHsRwxCiKKYaWJR2/1S5jkSV7L68OKrsY48zeOnRpe7H6ktEWW/bEUmS6e1Me4+/zutK0gAzq+2WsqjxPrMs+fAn6xw8GkC9YO1Mmggh0KQpeVmSJaWA+KKuSUmTjzsoGyTKi+qVUQIf7xy3pfcK27C8cVQpCDXuQrKp1BRWIjOGNwIhZZr2d86KCzwN8dCw75KYH3xnh0ef9TmxVAoc8i5iMKhUrpQGBKWBYeaqZAGjKskTJUgliR3xyQttXiq1FaXvKUsMnpYfZ/Ilm89ihE3lmtsrKMvXDMMETIoFEQPpJlSbt1+J71cII1haPI1Sprg285NeBu2LBJDlbpeyLBl5b1x/m5I1aNLgs+R956xtR8Bd1HeXspbSpeJXO4Jf/f0m9zyZjjwWWWCZFVW5ACXrlB8tqiqBl+I7CzEK6jxjWQokXVVekez+FvguwF0GNqPZy3xJttm2fmmiJ5UosmQTSmlzuSKE88elMa5GRag0eWcxwhALCz3DHTcO+Sfva/PvfnuStb7Y+KmlIEExKGcQS3KieMwOQhaIZmZMYfXl+SKZAd3mbJFLGUYtRpPW/lhRWKdCUJqDmDoqxiKE5JJLdnLLjdfS6/fdxwfYsnkzV+674u66d+Hnt21SVIPEbZaabrOntc03cRoZbpknX8ZmlOQ1J6WM44afu2IpWZIc4wFlVvY6ztwZuItgtCioGkjLb3yyzoc+0aAT6THXJAO3IBBpr6UcBfZIicFFdXihszNwF/Zg8cafB9wbluIx+7DYX97dc0Y3FNWEGfONTcIqp/CzGePZbJXEaKfNE01Dw4+8q8OP3tmmamIwMdj0nr9OMAaGFoZGEBpBlM7njq3bTjux6ag/W9p9wZC+n05Ls+S/N3ovtslxE6qy3RtKswfTOYRxYoljiGNLHNt8ulV/mNALPZ4/tPjzuy+59O7Z2U2AM1/4xV/8RWqTKjq52Lus042/w5OJCzJHxhJfZB5gWWuX0uxlfT0yUHKkYWEU9HJcf6sUvOXeyjK4VTmwdOAWvuHZIz7//ncmOHUhSFPxqe4WXhpkuhmDGwuqxnZsGEloletvSrOxS2XFmdYWYkxzi/Fho0XSbKRWfvx1aeUc7Ry6WKFVwWQb9ooXzqkobwKVP08ZteIlzE8ZHnjOY3FJpan8jd6nRWLy5anU/FIKHEvL2Qa5Vr7syzndEamessbF5Ft5J5Fi60X3qKRg706PHZsHv//ww1998HWvf0chUQDueO2deF6FQ88/xOr5J6hXiwOQs5QoecMlOVLu0nGPhVuS+d2ZBi+7JaKsu8VG7a1GHpP8UY7IkjRb6RueOerxj35+imcPB1ivJEsy/S0kUjrDwMudE1vS3y8yFiKXJ2PTWsf0eS5ZROkUfjMq3yBPyic2kyBj3rgVGNKUdq5FMy3uxlpLIVLNbQupko09ExZhJcIo91wYktBw7aURv/YT6/zIvxduHrovCkmS+eESEqMY5JlJ974tOR+kDQvWOH2tsCPSQ4m0+z6VLNkAz8wfd5rdHefyuAlXUVvuBkqD1lQleTLhyiuu4s1vfAW9/gD4t6MAv3zXFJ5fw3Y8zpk+UvkMQoUxxRnKp/WnKVdRXtJLQM2nUqUZynHtLTPbTxRBZQHwQm9fDNx5UVVqB0oZo72EjoVf/1Sdp14ISJTrq3Rp+AzoMq838UWR0Ckndi5ac8JGIJczlnmAOYZldzFcRNOOY7zsg2fBpCWvxc4CS2PTGd1j9SlFQ4D7HZFmN0Wqw0UKauPMbIyQCKEQwi377pxaVGK58coh/+CdXX7yVzw6sXDoyDKdUuQ+uTGSUOJAmoE81dlZYKlS68Wmk7VybS1cjYoqOTxZcihPBKXng7SxJs0h5VUFGfYsjsGHEfQHMcvtACPniW0vP745wD1fo73gyNysPSoGvb0rawlh1HA1AvnJG7WgHOPZUgBaADkvosrYuwxyMQr0ckBZrACFzh4Fd1o8lbeexfQS+PCnGnz8K3WGMgV3ye/OMpYqDyyLzVuLYT4l54TiIOYeN6PA3xhgjq50/00ivKS9x4uv8npQ0tRGKckjSz45GeOblMXTlL4VRYsb1jkqZMAWTp8LFCQWX0S8+/U99p/UfPiTDboR4FFi8vS51CRGMkiJ3QqBn/5cp80LGRurPIhMHZaSo2Jk6rykAaYsB5ki7ctM9/+xlGKe0mppLfTCmFh5WO0fDQL/SH8Q5oc2Kw7jAz/3S7zxzbcebQ+q88/sb7/2wlJEJfDSEWilbKUonmdavCiGKr0u+9wX090j75WliaVI3oyBWxSet5Juu5FuBL/92Tr//kOTLK76bg5IWXengHc7o5Fv3pr73aUsbVZ/Mt7UkLfryYLlywVo5YH/eXmxKNr7ip3ixEX+ncLrHtHbklK5MqNSqex15xfV6BiG8gVaXnUu+pghx8Jk03Dz1RHtnuT5o5owHo+oiyvZIvJMfaGvi6u93JzAWI1ivjyVfHQ7RgplqzRb3UaqLnF9mPPTlje+Yiu33bjnP589e/S3brrhZRsZHGBlfQY/qHy+1dn0joqMb1BqiO+ZXOtkVn1+MC/C3BfT3WVWVylzZ6zuLEEzIlWUKhySDNxSFFWCuTwJDJ/+ao0PfKjJwpp2EaMYswWF23BIy7ItaC+uuRkH2GjsMTqVKTs1F5m8WzqmOaOnz0f19EYmgfopZgAANahJREFUzx42DuQs24UFk5dLaWWqX62xziq0ApH65MZIpLCYNJUvMhZPM50gEUIThZYtUzH/5w+3WGlLPvq5BlRiyIugRpncIAkNRfFUmm63JS0upc1rpizuc6pUmmQjuaV0DdA2naGSMXqutQWI0gHLJ2YJSz2oMFVtPLVry8zne73ByCFV5Rd/9Ie/w/vfu+vU1tnhrdtm2zfNTvSdN10KIDYweM7K5UzmGHOrouRVpvbgqFVYqj/JbEGRVgim4M7qu3O/u5Jw5JzHz314gif3V1ymMk/keHmlYLYzQ5Cm5D2ZbjdSZmpVfK8sM7uxsUOMMW6WkSy5JWKMweVGBi83dOc6P2NrWX5d/h2x4T3ygKsUG5VBkbJ4qcGG8kTXDeW+FP8OFiYmEqoVy0PPeKyuqQIpYvxRFEmo7CqmkBUZNdsRei7+m5GLO9MnjPzqhpuxECbQDwVLbUlnoGgP1Oe+ev/h//zDf//vjfyuHP+Pd+ycZNfuaZb7PY4uLjPZ6KKVGW0/FWOSIxtRrAwbGxDKXnjp9Ys0K+QVgVnJawZuGaNE5pgkHD3r8X/92iRfe7wKlSygLPvdKpUmhWvi5VnUUb97NPU9qsUlperBXF+L0fMsivvo2OT/xlu5zLC8/2hpWc7rwU2xjbopeeUm2wrFjHrjtjRfvNzilmQzx61Kh3m6zaySgeT1Nw35mX+4ziXbhq7p0Y555Lbkk1sILQwNhNZ55bERxFY4rzz1y+Nx/9xcxBdPSr556qWXVzvB/9fel8dJVtX3fs85d6mlq6r3nu6e6Z6eGXp2loEZZRhBZHFBI/oQNDHmJdE8JSYSt6fRRJI8EjV5LolRYzQmmI0IPAMGQcSFRWAAAdlnmJXZp6f3ruXee87JH+ece8+9VT0zKDCg7/ApqvpWTa3f87vf3/e3Kb18vCaxYOE0+oc4uvoH0DUw0PSVOtkDtPJ6eC4LbrhnDj95JMDbLnRx6rCDkFOrEMHOAExytmmGlhBLOSFEZGiM5VCSRDEhWeWEGKdSFzG4HLsOu/jEl8u49nsFBFQnyBDLudRFDIQofm2KGJpUE/M5LOuXnQ5mUJ6ydhkn08J3bL2OF+c2DQHSYE5C9JluV4aagMCOchKpaUl8m4JI3eBSQKkqRIIIqjm6khIF0Y4nTP64Aw7AdyK85fwauCT4o7+tYPeYVlaMWUzRFUCCIoRu3GM5l4JoJYVqigKAmRC+OaOlfhMVqWSSAExJioIibtlMmfqBzl9Vw9sumEFn92J0LD4vgIjwVx8/BsAl7UOxvfjhV5+5ciWtT5yzf3+IngJDuciR8zgclqgiKuHJlvnSwE5dE4t7G/WEpOlJVj2hJEqsOVPDonYfZvjIF8q4/rYiAmrGwdl8m+lzfKKaeDTp7Z3NGMxa79bSIGni0vpEnM79zhDwn0FMSW7bqoqlqCjVxMy317KZDf4Y9CTWlKVQ8+aVnKhBLpWEaML3xOTmERbTlSiScCDx1guqcBjw0b+pYPeYh5iP229aSIA6McgF1PtzCYFLpWo7JxIJ0ACbEanVxwTocUuKmHfpwcNQ9M/3gO48w0B7CTv39sKtrPvRiq7hDwOTTd9pE0UZXdwGPn7DzCvXyy0jA+Aeo6jVKSJupJqEnjgsUUCcVEcpm44kARu7IidxLLl1MeDmiVNpHErGsX+C4WNfLOP62woImE1LMrcJSwd0LOttLEWch440F7bpSOq+eDOQ5g2QpSzHieamPBRLHYD1t7pfUxIAdvjebrWcNMxPz9hMDbTK3pZ6JIpkEJKp3vC6SEJINV3Z4QSXnFfDn10+jQUdIcAjQPA0VbHoCoQEF0AgFG0JNDXhAghtmhL/TeLR3KFQw8/M4yNuKIt2LAHV2sOniCIH+yZd/sD2/JYv/+utM4R0NH3NTqvvnlGJg4drl1PWsb5UHD/VdTN9Aa1hqrbERyxqkigPtlUX8bWx6OpYOqjTDG4B7gJfvbGIa79btMBtXxK9m2jeHVtuK0msKec7lubSVCXl/NnWuAU1sS22sfAgGSfqaFhPodq21NlmnNlsQsRJSkJTEyFVByilPChtXFEVAWIinjrkbgl02opTnTDGrMQqqYHC8ZYLq9iy08Gnvl5CFOeII06kSt0GA0fSrEflq0s4ZrNCBa7M78BNqjBMizYCTiQcvakJIXpst2qwGYYCc3WGwcHSI41o7nJBiy2/W9rqYPeii3FgzOcbTlsqF/cD7W0RfE/Ai0dhc2uYqrokExTSzeaTniVW0MaiIzR1f7amMlIqjitx64/zuObWAho0A26aBjcI0e0fkizBuEIesomOxFaaZqw1kuum45YFT2UVWtw75vDzmPVUroV+TDZcnxQjk/jfZJvkq46z6SofdRxxu7c4MSsuVKaWBbccUNsRjRO0HGXJBYXHJS67oIrzzqyBGCsuuOVw8rQjKoXqWSJVolZdEGXVBRBqax3oY6EAQq7/5gQNPW9HXYBQT1ALIqARSkzPcewf4/CLQ7Izx/l7f/3ClgBvacEBYMOGlyEKa9cU6WOjkxNHiqaw03cj+J6aDOxYmX6xdTOJPUgseJMlz1puIjQ/5xZFicAcAepIfPuuPD78NxU8scPP9BG0aysVwG3VJO1YpnNMspmCKaXEgNrSuGMqEmuzJL5Wh1rRFHJUcDdbcRLzkpiuiORwyrJDZmiNDXLdx49C56mo9xJPo5YAEVTXw+hjgmqjbW8pAEQ5n+ZzrVkS4jNXTOFDFLjproKSD029pEmBpTLzeZWaIrQld6my3oyYEDzJ1LnKOJzPKOAJ6OZIJMZSEAG5UsfcKaeecU2xmJsPxq0tOACU2gfl9JGH/7p7wbIjIFy3po2Q8yP4XoCcF8L3AvhekIzAZmFSE8l4Yq2JsAI6tqW2OLcOvVOdrM6YAHUlbrgzj498oYIndvqqGr7JoUyDO67OyVpvOyW2iabIlMNJ5rnEltnGrm3JLVwnN+dPnZXzHIsvJriWid7FBbwysdCpzldxs06kLHfKmouMdJg6xiAkVbf1HKC4eLlBsXI4wqfeO43Xb6oakqy5d9R80ZYcur9iKIG6ABq6o1ZDS4oNQVDjBFVOMBtRzEQU0xHFTEgxG1JUQ4paSFAPiX5JgVPWnnTkjs2P/vWSxYPzssF5LTgALFi0FLXaDHZtfxAUVeT9EIVcA54bwnV0RNE0f9GnS5O3DBP1hGXJLe5NrEhlSkUhHMwRII7EDXfk8Yd/W8Fj233d0yEDampTE8TV8UkRQ3bsSJIhOB8dSShJc9fYxJpnJvcaMLdUWo69UiFpWNYcSSU9sfk4MdFLmenAalEYkiRjmWFRIpYOhbotqLLQ+jjMeJNYzEtwk5JBgwhrRkL8+e9OQwL4rzsL6g4TDNJFxqrQQarbRI3AkqDgMs7b0r0Jrc0dh+aT4JVDCXKcoI1LSAj4jkRPVx6rV42gvb181O/2qAD3Ch2NWn3u3e0di75JggeL5WINxXwdxXwDjhMBRKiR3yGzdrqyAha1jMGtTj3qNiM8AbkJydMIlArAAW76cR4f/UIZj+/wEnDTZocyDsUTndtNksY9NjWJFRQtFcb827be2fA8bKue7vednMKzYG7d/H5eK66zalMJViR9H+z7LNDCstjEpifWMaLQrnv6URCinE3oDUGEzvMGlN4vDMDNtUnK0sF2AtUNNgDWjoT41HunISTwnR/nE1CbJfg8HEHJmdz+fDHCudY/I5CIA1xCEIaQMtRyqg20EAIb1g3NEUrf3dPX2/iZAV6bocLPr7lv+WpvenbvD4qFwjQOTgrccj/DrM5IPGVZiLWjdTjCQxh54JEDLpKfOeHgynqDyDS4bd7NOCQjuOWeHD70eUNLKNJRStt6O4BOejItjw01scvQWhXj0pYgzoDZoh+2FU/+rVWJmVIlsnA+ui1vlZKSLrI11rqFqmJZdqEz74zRjMf8xY+XCaWhipur1gtGilEaOSSNN4eQCvSUqs0Dbr3jAFi1OMRf/v40pCS49e6cuptaj2kiD0JtFBM9s0PzggMyBHgDBVHH2uVVnLasAYBguubg7oeLODCeBy8V8OpXnzu9fs3i+45MzgocZR0V4PlSN4Dc2JZn6pfc8cjZP/z379zpTtddbN3uIWwwECnR21vDG18xiSt/aw6Mqt54xHrTNriVg6nBTQUYiVKcXDKC79/v4/2fLeOpXV6altBWkqAFbipTEcusFHgs7t0U4LFvp9SSZjNu8/JnFd3JWGsDZshk7qQ2wJaikk66InF1uQVk3XlKmECUtuwwEU1KNIgNVSFx7ogQqqZUJWfY0RxlySUALpxE1wmAVcMhPvsHU3hvBPzwfhvkaOF0MoDwhMaaL87wNBGhIGv4k3eN4Q0bG1jQo/BUCySe2lHF4QnA63ht2F6au6Sjozzm5QtH/YqPCnBC8njgkV3o7li9t1Ci23cfOrB8274aPJ/BLagP+MyREq693cEbz2pg/agaBmSfV40FhwF6LA9GiebNFLhv3ezjis9UsGVXTnfBzFprmgI30ZTEDIuynckU984A3mj0WXDH1jsLdJDM382bIPW94egSoQF0inyS5DoBsdULJAV4k9wkrb8tK84sRUXoM5fOT1H950lMY6C5uBkdYrRyU2mgQvzKkhulhAiAx4SbAwEwuijEFz44hfd9Brjt3pyiH2ZUsp7YkAa5ie9bXyQICCc4bVUVF28K0VUuY2bah5QEDuNYtTjA7IJOdCw8bXulc3RvWN2OtuLSowKc4hiLUobp8Rt2nbvu4Lve+7ZFKPkci9oERsocSyoCwx0Mrixi36EcokjNuue66FWBIJEGGeXamifgZq6AdIDb7vNxxWfasWW3D2mDO+bZGXCn9G6ZUUwSvp214gmQW1COzKVV24iEc6fnpscSXBboqb8yIEcmvoP0GT11X5yDYqkqEola0qSPZ/62I55GWRFqSoSJaCYRTqWsSKuIOY5uCltdsY4HFKMLQ3zu/VM4d0MdlGtxWwqtsGilJb6IVChXfd8MlPpY0OWAR2XsO9SFg2MdODxewZHJCsYnfWwZOwU3b66/6+r/vHkXowzHWs6xHnDa6oWo1WaQy7XtH+y76461i/a8QgYzaMszeK762UYWOdiwooQjU1RHNTnAuKIqcXmb0b11lJJwMI9j9zjD3Q/ncOVXytiyKwvu1pFK6BRVj1gz5MkxNO8UmOcrUWuR722rKXYSle1A2k5mbNGPk6do60wshKdoSfZvnXhEDHiJXcameLbQPpB5nDBWGIgdTvU8JH5yYnqoCABURz11I87kvUkQyRLNW9/W7idkBCwfCvHX75/CJ74icO9DOew+QgBPA1l3sVVfUmJbCTHpzIDjMdz9SC9uuANYOpADAYHvceS8AB3tZZy6+ow7OgdfuT+oz4Hl24759R57CwC46qq/wMs3vXa8UirO5Jzo0rGDz6C3w0NXxcVAj4sl/R58z1edmmIASSvnhFt5KTp5yufYst/Fn3+ljM9fU8Lug9484E6XnYEmPU08SxJ0UglVVn56TFesls92RY19TZNcbXusSKv7k4oevQGolQ9ugic61G/ywkmrTWQu2aods3H0WSEVlErRKJKcVewzCzXjAZMNl86ElBkFKB3UioNZ8VaVyW1rl9vxAUBx/O4OjnPOaGBBP8eTTzsYn6CmFW0CbkI0/aRwKUGRSZRdia6cxECFgcFHEHqoNRzUGg4agUDf4Ono7B754Ozkzjs7u49OTcw6pgU3a+XoEMrl0n08qn7LEZMXHzn0DIpFF6UCUGnjaAQM9cCNE660u23lniSFwizH8fQ+F3/65TKu+14Bdc5a69x2XzN9SSKVCe9OEqlaUJMmxzLLxY082CqJKgMcZEDURL4tUCEBiIUABRXbubQsecrhtLh4wstNX0LdjjKToyKkfg9GF6eJjg6RcG9DU5TkR0GoSLR0qHgGoI6bxkLQ2YexZEHNc6r8EW5pGTQC+to53v7aKnxX4k++WMG2vR6Q01+E1NxbKkWFEuVy+Uwi56rL9GyEfZSgrcDgOQIrRpeh1LnyWx3dS++rzs0cL2yPH+CLhwewf9++Xa/Y+LL3TR/ewsr+kTdQUofvAvkch5mFKGSSZGSnyRqd2/EEtu1zceWXy7jutgLqYOr81CIymQ3Dg6hTjp0lmMiBiSqSlgebqUkzeFtwbySgNxaPWOYqnXNiy4Upk3ZUpmLKrmJAxzq44SPqcbFaQixeTexkLBI7k3YuudC7xKSaStM2Iq5+V4W9JH5cAmYI05VQV+wLqn4CqcreAHWWMCP/0iCXkA3AdwQueVUNEMCVf1fG9v2++vHMa0gOSCeu9jGGR0igFkiQmRCz1QjlUg61qHTjktEN79u//8DugRaFDfOtYzqZ9uofGMDBPffsftmGVY+uW1PEQNccysUIvst1Xkq6BYQK4vAE3D7HzsMOPvGlMq69tYg69Jwc4swPbrAYhcapdLMW27pmKUDD4t/NOnhiyc1pPcO9kebndhQTmU2R0sqP6lrOh/Y08NPdZrPW2nYq0xKjFHYSVfqxInO/iC2/5Xxq5zI5TlOdsrhO1EqmS7C4a5Y0VUHcgRAOopAhJ4FLL6jhyvdMY7g3ABomjB/GDqeQqmpH6LyZiANBKDFbk9h9qIEG68GyFac+evP3N+8eGOh/NpA9fgtuVl9fN5z8ok+J+hNLJiYnLqtP1+E6SDpQ6akL8YQzFoE5ETg47nvEx5eub8M3v1dU076cjFISg9kO6CQZgqZo2LbccV53K8cyS0XsY0Cz9UazcpLKOUHzBoD1/5ReHt91dIinKAgy1nwe6570RNEFDbYVp4niEgd8YsdUWlFP82/U+xbGAdSWHLo6SOjoKYlzWaieQGwsuVDU0kiIkgBEQIKDEiCKCFyH49JXVQEu8cXrSnjwqbweTBsChIEThoagCLhEqPPA1YAHgcH+LgwNDV9z+rqTP7Vl+95nC9dnZ8EBwC2M4vDum6cGTlr4Ww9ubb9zfMaHlMqh8xw1Itt1AziOaoTpugECRPjHmwq4+ENduOZ7RQTMAVxdFNyUFZh2KKGB5LSw3kmuCawQfCavm6Y3gA3opFg4C+yEmiinnzRZdYPqRD5MuHd8n7nZAuNStrht0QuZeaydLYj5rHjmcUYXT6Kh6f6F8fRkYSVjSSvpykrCsv9NbOntx1iWXOiELVXf6SAMXTDOcNl5ddzwl0fwGxfNoEgCgAeAaECKEDUuMMspGpHq9U0I0NPh4uzTSndWOod+6+prbp1av3b4WQP8WVtwAOgdfhMef+yR6utf9/rggXtugBQHkPNDlIp1lAo1OKwBxwng+QFqPMI/fbuAj3+lHZOzni4xsyw3LCcyvm3u00OG9BtlKb3bVIwnx5qpxzzJVfbFoiXZDTCvHp6SDhMwJ+kJP8OXmgn2JKmxrXi6emCTFSdmDHaae6tkLZlOwWWWYyptHq64vdBdq4ikSQCJCv1aiYRI9fMJbckphIqgmugopyq/SFJQytFV5Pjku6fAqMTVN5Yx1wDgSXCRw0Tkg0gC3yEo5wW6Otqx8RWvCyih1TVrX/6zQPVnAzgADC5cDCnF5qnRk88UM/vz3e3TaPBZjB8KsHxRA74XYdshghvuaMNffL0dk3O+6tdgioK1p54ghCZ/W6ij0JbbnqGDZgqiChfSaa/ZwA4l83DvVuBt9RgLvLHVtkCe9jGPDXbjZBp8pwqPM6BWxxU9MYFBm4YI2GH7xHrHaodpGwXofHDt50noGT+I1RebqphiZnMGUFo2hUlUV6oLVYmDQkASqo0KURmJRKs+RIAKBi44KoUQf/bOaeQcgRvvaMO2Qxyu28DoIMGRuQL2TufQ0eZj/fp1taVLRjZT+qyJxs8P8EqlhKBR/di60zfKvVvv/4M7H96Z+879bXhsG/DO105gycIGvnxdG75zfxGB8BUlsUPucSKHLTdkwG1zbZgsQVvqS1foZHO65x0BCCSadZMzaltx0gL41gaIH6/hrM2tTVOOtWI6QuJ/bh1vtuJxs0pzn54rSajhrURb5CxdSSy44eHmCYlRVHTTnlQRs1FjhAKs2hQK3GakCoU5q6jdJEwukj57Is5KVEFAIRjK+RBXvWcGZ28I8KVri1i6kOM3XhPh4a1FXH9nAeX2DfVNm876nAT7eL5QPPYX+VwDHAA8vyCC8a9eORv1ht/efOpH7rh/2pucDXHzvQ2sOCRx98N5BEEOyOcA6sEuK0MMCKQJp7GKSJxJJ9vmoQm8rZKrZAvrrIFJE3Cbl2wJ6PjtZKrq438EK5jS3CriWTEV42zKFEuZ14qrY0mHWUjVDN9uypnOCbfVFplYZshETtRj/YTmNeqzSX282ZqryRIUUoNa2VkaKz9AEoFV36HpKKxAni/UcebaAE/ucLFiscSy/jI6/BLWLOkJbt/R9elP//MdV33ug28Sz+ZrfE4BDgCfvroryOUrn1zSnwvaTt/6pw6bpZdeSLFlD8ApA7wcwPJglMUzbADEzdCFnXSUAQeViWWNtW3MH8RpsshH+TurrKTAbeeFw76eJwoZ700TDbRm2cwD9RgExAK0tICt75dIxoQgA3jbIZUWZ4/pCWJzDxJPTUOcRBU3DjY0x8zZFCIBtC59MyF+YSsq1mYj+mxhLyG15CiSTlYEEoxycMcBawBM1PH0niJuurMTOzbm0d3eKdauHvnTK9684DPjE7PB5z748+HzZyc3en38ijfhlCW8dsGm0W+97rx18szVDKODOUTchaA+iJNHwXVQ8YAOV6LdkSg7Em1MqvjOfGYu40ymgI7jt94tFZIseLOAR9qS06bHmxrC1tabNH+U5iWt+yzVxObQdtFxygpnu1rBphQtOmLpx9uqi9Gc7SioOZbqlDXPbZk0LrF2pPXxtBrDOUMYuWiELhqBh0bgoxbkUG/kUA9ykNwFIS4e31nGXQ+5yLefLCN31bfue9yrDY6+5eeF589vwQFg8dAiePmerT1dbZeT4eqX9o59m972QBvmogq6CwwFV8AzDV8AcEnQ4AQkUhXXoe1hWRQlcR4Tjt3SYUwBVbYGdpwX0oqTk9RjmpQTNHPwWDq0QNyKq7cCecq5tGhaEgFOdHFzXABJM3z9eHNMxBo04oQqxS601g0ZJ2fFYXua6OAJDUl0cqEHYJLYASXWZtBW3H7/0M9jlTBKSRBxhjB0EHGdiQj1GzHGEYQO2ksE566r4Z7H61hzyiYxNLzk8tWrT9q665kDzwU0nxuAn7R8BQ7tfzrIrTnta6VDPyx888mezz64PUB/m4NKTsT9APXvBS4kWKi6koIT7ZEbqsXSIAfi/oBGFkyAbU2CM6BE8yZIb5RjSYBHs/YtKn2ygM/y8HlOUTGYrQO2M2kek1DYNAXRwl/KGRVC+RdxhY9WVgATqVS82vBsYtEdU0aZKDNmcxBNZ4gVKEomvtk7nGqOTaA3nE6vbYQugkD1FBdSt3bWPXbCyMPyBVN43UYP+2fCD2zYsP5rjz6+ha9dvfLFA3AA6O1fhsnJXTzf/fZt+fLDM8v7bis1qtOg1Jz2kh+fC4ASgfEGAw902JboiBiglBYkVrFVRXzrsLs8CohJy0CPbdUJLDpigRmENIfx7cfAArz1/AnKLWDL9H02Fzf3wwK6GaJg+LjQO0HRYg1saEnPWGqhwa0tMo2lxUyhsrHmRD+3kWmg824E9BhCYfHuJCVAGj8jNjx2EbnK8GwEPmoNF3M1D1yReRAklf8Hj/hor/Th8l89f8Ytr9+2d/8evnb18ucKls8dwNWvUsKOXfUbz9u0/neLDvncTbd8v/PgoUnUQ4pImBRWBaJ8jsAp1rBITmN6OsKuAz4i5uvEYmWzVTmsBUakk6lYim6kJzLYYDbRyiarTubh2qkzAUmyDS3g2vQkoStpp/K4Aj72Kd7m4i1Anwr6IC0x2gAGSDwrE3b4HjKhKZYWLjTXIfZjBLT0KOMqH6KVELVpTB9EsyEUuF0nhOOE2HUAGJsGggCozeVRa7iqAkt3I44iguk5AuJ0o3/ZOeMLFp5+RdCo3cicwnF8aScI4O2VTgDA9PT0N1517lmO5+FTN9z0o56nd42DUYK8DxR8irzP0FEhOOf0CZx80hi27Q/w8a+WcddjFXDCErKJpJ0XIbAilrJ1UpX5O5Pr3Ur1sB9n05os0GnmGM1ab7MB0Ip7Z5pzZrGdlUktoAtd6Aukm7hCqO/EpIGAajCbp7DohrDzQ+KkF5kEccyuMaoKEKssEOZ9G808aaivNlm657fqWcnBWIB7Hqf46Fe68MTeCk4bzuOVa3LoKDMUcwKFnEAhxyEhQN12LFlxzuEVq17+v8Mw+ka5ve85Bbf5OM/5KpfLcBn/+vmv3PjRvuHlhw/PKN6d8yjKbQ56uzyMDDgo+iVEUSfWr3DwJ785hbZ8Q2WYwXYU07q3SVHJJlc1qSZ0HsuccSabLXkzB58f3FmJ0f7B0wGfLMhb5p/ItHVOVA5b/TAqh1FIYDUCSu4TGafQfoxq/mOpKsLOLkQ6m9A0BBJJb/GUYmMBnFKBubrAH/9DO+59vBsE7WhUXezcF+HgEYnJGYZag4ISgd6OKk49efjwsuUbPjozF329VC49H1B8fgAOAI7Xhs/8w3e/5nn5D/cP9I1TIlHIUZQKDjpKQKnAIQDUGi5qNR8jCwQ8h8eIUFHMpCLHZA3GxQ2xlU7LiM0Uw6Y4VoIVTW63Arqp3rFrLpEFN1VRQMPLAWtjWO8lu1Ih+WcJ8uxjzazIuLuVaAFyYTXOt9Jkkwb5SG2GeAalkQ4tidAMluVW0pW5j0C1VHt6fw4056HkqXqAuRrH5EyE6arEXJ0iCCV6+rrHO9qLHw4nbvpaT/fzA+7nFeAA8IHfuRiHJ2euXjU6+Hvr1g7P+C5QKlJU2gTa8hF8h4OqTjMIQhPuVUk6pgWEQzXQTRlZxoKnLHfTfYY/t7K21nFqgRu21ScJ8JHw7lQZGrLPSZqdTgBZipICeQvgZkEe695ILLVIWXXbIicbQ2QBHV8jo4OTVOZgKrfcTCo2gBYEgtsWXWcWSjWq0XPVB+aSIIiAubrEzFyE2TmO6VkOkhuZ8QpDv+ey8asHlv38WvfR1nPrZLZY60YKwnX9a2rVXDTb4/0TCZ/JtbdJtBVC5HzVAo4xDseDUlGoA0ao1WNQgbvJmqfoC5prGg04YW0ESpo2QJaSxFOIbXDbFtt2Om1ww7LysCx37JQ2m/KYptg8fJ5l+DQ10w4AXVqWzNVRmnUssSipTxcXE707CKwkqziAJHWJW/rMoF4Y1uaMM7fUZxQSlDNwKsAZVZ3NOBBFHEJGqHEHtYBgri7gMgEp6hgZWVr3CwPv3DNWuq5Wb/xcYfjjWc+rBQeAt731UnhOyAXrv275sp63r1y+oF4u1tBWaCCv+xw6boDrb89hrpYDoS58BuSohMf0wCg95MphSVs2SpPaS3v8nvlAWY27VXDHWH17XJ9NW5rpS1ZRsa5p82ZRm6C5/WY8pcH8Z1tfpK1yio7YljzDuaWAZanN4y0rLxJ6IpqoiHp/Cb9PW+/YinMCzik4p4gERcQZIk4RRQwRdxBxF8U8wyVnz4KGIaoRMB0QTNcIxqYjtPcsrLu57rePLl1w3eGJGj//wjc93/B7/gEOAL/yxkuwYcVBvnhk4/XdPb3vGBjsq3aUp1HM11DIBdhzUOD6HxXRiPJwHYY2JpFzJDwm4bIE6GZ6si0PtqYrLRzLlMPYLA/anLul5bYsO029hvVahurEGqV1MeC2W5oZaiKltqIy7fxZoLaBKoQNaMzDm7MOqaElZkOkebq9OQyPFxmKYvh3FLH4EkaOuoQuwtCFQz28+ewaFi6oohFwHKwT7JkGBhYtrvYt6H/HORtPvv7GH+zjF7/xf7wQ0Hv+KYpZK9e9DVt/erVcdfo/fHNy95ud6kzPlxrVPRXX4bj/KQdPbS+BeD5KDtDmSPjMAFxZbpbNDgRAaSvr3CrXpDk1NiUt0sQSp/h4C8tNbetsvwZNaEjWsbQVOlvrbk1LVMEBQaLYxV3Q9O2YrkjrWCKG62CPDr0L6/1oR1APHY4TtOzMQhMBhZBxkM441yZzkeprsznMIkTCcTiWj4R42Yoqdv1AoFCUWLmsd6rcO/Cej//9tm9S5uIPr/jVFwp2LxzAAeCkk9+Bqd1/hS/fMPpvQ70D7vKFM58pNG7r+vFjE6jTEjo8inZPIO8ittwOTXeEtcGTOH3HvlDaAuzUmk48D7jNLMxWMmF2UwEtVBMb3IZrZwM6SH8mSOVbcL2hshNCYpBDvQebkxMdslcH9BBWDfa4NlMQXU1vJ2nJOFec6k2m2lMQ672blFcCRmWipOg5P6abWSEX4fTRKh7akcO737zuyKaT/fevWMj+jcuRFxTcwAsMcACoDKn8RxmNXw3qOgf35D75wNa7exwi0VsQyDtqjrzDZDxi2ziVQDMwYisKxGy3VTjfdgjTlAQWF7c3A4npRpqKkJTFbipSBmA7jalQvEyYSUxNgIwVVK8hJOJQu3k96DC/1O/RIN+oNJSaihx7B5G4hTKgo5ImOmnyUaT1OrpkTRJpfQYSpwpJqU4RFKoOlzuKvjgRRRgyBBEDEOENZzloH9h0+FcueM1HgjC8utRfeaGhFv8UJ2yNT8+BEPz2P17347/4zxtu6xH1SThMWwItC7osoRAmYcjw0vhDZECb7VZld6mK0wVS2YXpayMD2hZ7XmUls4liwKG1gyiEjK+lBfLkx2jlrNqOb+Z1s4EvOz4Qxw8S38UME6PW7cS3MWPXdeCGQO0AJP0MOSdxPg2jEq4j9OxUiYgDQnD09vhYtvKVh0s9538UkF+jTvn4APE8rBfcgturs1zE9HT1a+94w8uikW722bt/fFfHU9sOYq4ulBbuEPiu4uCAStIKQqvjqpW4lAquAGkAopXjaTmLWXCTDLjnA5qVCqCq79MURUJHGgGrsgVqOKpU180AVwQ56+QKqLk1mdmrcVi/iajLhJPHoXcCK+wu0/REO5zKkMhExycJjYk4QRBScK7eqcOU5fe0YDlbZ2jwHiztO3Mi17HuQ1zQf3K9n73c7LlYJxTgAFAuFyB4+I0Lzz1jPKyNLR0aGvr0jd+7x52akejvZCjmKDxXhYQbgQQXAkGUdFEy0UsAKQ06piRAyiKm58Ufj+VOqy/Z9NysBm+fEg2w42xKGDXDKCYiiWYi+bfGoVMUSSajRahl5fXzU9OcPkvUAYASNckYyo9IGuLbDTuT/uLQx+Py2DhlQm1EHlDU6gz1QL0Lz1XvvFKsYWyKo2fw7HBqtvDh7oEztgnk/8v3Tji8TjzAAYAyVzzx5FM3vv7CC7x7H9tSPVynX/zR7Q+Sgh/S9pKDXI5BSqBa45icDVFtKKviMKn6BelF4v+1VlFMQ8ws3YidSw3ulKpiS4UWR7cpQUuqgoSicJLQFFUDKcG5gNCBGBvgKT5v0x6iObQ2w+a9CV3gTm050gJ5zN11IIgQaRUvJNMiTOmcuaj3Ygb8SniSIwwpJmcoZmvqMQVfldMN9Hpi9ZqV0m1b8t41vWf8Y3X2maCz46QTDSsALxKAA8DKFcvx/fufCEodfd9YMNj44fkba2+Jqkf+D6LD6G4HaoFqvEncWXz7XhcdeYo2T1odbdOgBjI0Jba46W6xhCK22q0jlQm4U7IkTVvwROWRKbBJCVDNWyOuQMW5RMS1FTfZfYQ0nWlAVaUNNC8WcSahzvEGAdWWW9ivCcSTQYytjz+LFSjScwmQ9oAT8BOijEghF6DcVsXmrWXs2qN+h1pDoFwg6OoaAMm1//HQcN83idf+jIgeCboWrT/RcIrXiwbgAPCqM1YCQO3f/+P6LfX2kU8uWdbh5VjhY3c9vIVNTbk4cxXB8MJp3PRQDtONCoqu0M5SUsxsVrNUSDIZhiT5t7ols93mOBsQymrutgU3Tlo66CRj3HDdBiaMVGOeMBIIQqEGO8VqkEzOJjQBKKVal5YylgKTcL0CucG24fzUFs/1l0GljAM9RHegBRD7MnExM6CnExMw/dhiLkSDT+H7D+WR5xFOXxEiBAenq3lbR/9VGzcu++Sd9+zlrzh3zYmGUNN6UQHcrLde+mb86LYb+TnnveUTew6MOY8fvP0DDI/5xdwYlg7VcN4ZAjffXoHrAJ5D4GqaYuEltRLp0LbeBtzqwgx9aaFrNweGmsEd9yNnaRVDLQnXIQgjIAgFqjWOIJIxF7CpDpPqQo3XCqn77KhSM0BxaipI3G/QpmGmcWtMUfRn4ETz8VhFJDH/l9qx1SxIqSVCod1zKTxX4pZ7HDyyneKUQYJKZQFec/6KRv/I2f+3rdj/iWuv/xYuefPFJxo2LdeLEuAAcM55b8AzB6fRX5Ef+823nEcP7l965uTe6+jOsY4zb7pLOJ0FjmKOoFRQ4KwFElGoqlfM9FzjaBrukrbeGtiUpmRDA2TA4sEWr7ZpUEp+Y1JFXKm+ZlLn0EhQJuEwJck9sUNibFLA0X1FHSNd6lSElNwCTTH0GUFx5SQaSQUgiS5IIJqGUBJbY5Y8CQixmgZl8l40vsGo2iyNgKFap2BM3TEx4+K8dQ38eIsfOVHX3Wed/UaxYHjJ3XOz3sekPAJCuk40XOZdL1qAA8Civlg//eiTj34VS1csLo0/PviVU5dPXYq5A7SSD9DT4aGYBx7Z0cB0TaKYI3C05cxKhunIpqImjJEY4LajCCTOl/0cIBa4jRXX6QSOBrLrKOfMdaQef87R3V6Hm6ti5w+LOHwoj96ygO8SeI7aEI4gcB0jGSYgN9KeKS4wgRhTOmaHRQmgrLT+PLHmYpxRK+cEloMpdeTJYQKFfATOgZ37i8jnGOp1jkK+ghUDfeKtrx25dtfhyu/c/8RPZ9atO+VEw+O41osa4PZasead2PzIzpnBkfzvXf72PU8/+vADazxSvXhmfDdWLa3j/p0NjM/lkPdkHNBJTytW/1GbllAChyUWNBUtNZxU2pHStBNrVxsxXWuoAC7gOgK+J5DzOIq5AJ2VWUw3pjHTcHB4tgjflWjTerin5ToQ3YYNiYIT56/YIX+zdH1a/H71YSMdKhOuz0q6Mp5SmaglMR3RDiwFOkpVzNbnsPlJhmULCHpPXga/VPxWoWfNoxef1P/5MKzP5NpGTzQcjnu9ZAAOABvWLgaAsbFDe//ogo2XDT/8yFM4cqj34oHSD+A4cxDCg+cw5DxFO+JQODLBH0rAGIHjEGU9nWQmD5BUyZhoqbQspLlhO5+mGMOhKvsxsdwR8n6EfC5AIdeA6zRAeIjZEJgNzCbUffu0VU7SeGU8YtK0WgDSjm+Suy3jyChgooyGjEPnjigrnvo8+jmCSBUu+J6AEBITsw0cqbm49PR1OHXt6LcWDC67Yrpe3dXpLzzREHjW6yUFcLO6ewexb/+RXQuHln+ou8P7Rlel632bTt9xtiu2IUfm0F5ykfeBI5MRqg0g5yE2u4aDM6qcU89VQyYcpkeAAGo8eQQ1/U4mgMhyVtMLhJqQN5NwND3xHAHPFfDcSOW8OyEo4SCSo8EFqhFFLhQq38Y8B1cyINMWVXcoVu/b2lWJEyxjcEdcyY9SJg60svpURUKtxCroAI7nStTqwKFJgpxHwCOgrdiLFcvX4/d/e+3ty4c6Pn/KySM/bQTRrlzfSw/cwEsU4AAw0N8FAE9zLp+mFI8uGf5h/8tPXft3W7dsXXZ4/+Ns2dA47nyY49BkCXk/za2hLZzrKIB7rrK6TPPURghwoUBuyrqgFQqbJtjOJqMmOUwFRhxHwHV4fGEsgmlaIrhAnVM0OOBxnevO9ZlATzhg5gyi+UfKOdYOtKFQkRQIQ4FGqCKjjKqzk3nfjBGdKotEFgRQygscnJzFvY9TrB2pYPXqM/jQkmVPt+Wr/2vDprP3A9gyX+Oil8p6yQLcLKbG022ZnBjfwjl/dalYGOw577RrH3joO+X9kweLeS+EQxlcR89/iQQ8h8JhUAO0PAnPk/BdAd8VIERitupgtsp0naiMKY7QPzal6osziks8acIMwaJqZKKKAnI4LFJN4IlOCpECDUEQCoKIS0SCwBEmfG9VvAtDr/RZh6mL8ivUblNJThJzdY7Zmmq447kEnjBT1wCHESDH4Djq1NMI1GeYqQKrl+SA3ODcOWe9drqUl5d09S7cSynb9VIHtlkveYCb1d7RCSnFrs6u7mekmFo9Vb3g5R94D/n7p7dujZ7ZvaMzakyVdh+oYa7K4XsUvsdQyAvkPQnXFcj7HOViiI5yFePTAR7d3gsCB46jfmiV2KUiKIwC0rHUFAZQllAVEsuHQs8u4hbAJSA5QiERcCASJObPZhgTkzKeU2Pao1GmHGLHsZxPAI5PUCwAP9lexfiUh+42glJeZVxyLiCFhMOUg91ZClELBPYcLqBc6ZxZtHTJ+PDwUmfxKvmucvfwPf3d5alIQLjsFwPcwAtUsvZCLUIoCCHiwMHaxILeRbf0dJZHv/Ev/7H0rZdddtWmjesea+tqfwhusV5qy6NSDNFTqaNUaEBKiZwn0N0+h4YYw798n2LnvghBqOLgnEvUGxz1BkcQCkQiyWRUllrqwgyZUloolXCotuAsMh4jICKEQlnxyCpHM7WVnOtL6nUIPJeg4AM5X2vmUGehpYMcb7tgDiQ3hwMzBI0QACSmqxyHJiJMTAdwvRwGFvj1wUHvodGV6x57zUWXXHXvHf+51PXbR/v6hm/x0JgghPxCgRv4BbLg9tKj5gSA6u7dz4Ax59OMsU+vXbGWnXVG6YudpWDUkzs2iWAbe+TpOqLAx4LOORAyg0/+WxFPbKvgtCECz6VoLwETMwIHD0Uo+EBJAq6rdA9KlFPpaVmQIKmLBABKBZjD4XshXC+AJES9rSCACD00HB88fiy0ZZYIuZILGTMNMxXNyPtAuU2g4HPs3C8xOUPhOqrB5aY1DKXKOD7+9z6m5yiWD/kQToQ9h/LoXzjI15y87M6hRf6WRmPy8qmtjPt+Dr/2rqvk4OCi6on+vZ7P9QsJcHsNDS0CEjEiqs1N/Q5lfgcPDv353Ztv9H6yYy8/95SudT295dOlHMeOPQwFGqKY99FeAk5a1MBPts3hpzsdLB9w4DCOQo6BQAVm8p5AWyFE3ueYrbqYqamvtOCHYFQg7zfAZR23PcCw+VEX551ZRakocO/TEvXAQeipmTaeA+R9gtk6wWxdouApSuTrlFSHAfmcRFc5wvLFY9h2gGLb3hIo8dBRIpiYcjDYHqHSBiweHMbCQfbA2tHDP9l2eAk775UXBYsHu/9wrtaY6O5qP9E/yQu6fuEBnl35YgUAJgC8BwB2bvkBJOjZBW/uQiF7L/n1N/vLq1MRgumdWLiAY6D7CMbnxiBZGQcn29FeVM4gJYDnSBTzEXo65lAL6nhqTycgchjskagUCTw3RD2s42s3tOGfb6qgUqjjyx87jN++KMTXb+L4u5tc1HkZlKrU0/5uF4KG2Lw1wsyMo48rmsIYkHMlOks1TFcn8NNdBew+UkRfF0UoC2jrWgHqRbjsoranuit91/a0O9+tCdz+3nede6K/8hO6fukAnl2LR88FgNsb9YO3A6ff8WsXY+nY2IT47s1HRN9A+wgtr/rI8mVP4bKL8th83ywmp8dRKkhQMOQ8gXKxAUJncf2dEg8+LrFhuUBHiUGCIOcH+Ocf5vE3/28A9VkPHR1TqFVDnNTn4z1vCDFVncC/f68AQhgKOYreDgfrV8+id8EU/vW7nZiYdZB3I+Rcjs6KUmT8fAljwXr09zNcdO4IJo9MfNJxqjv6F59N20pl+j+H6DYAt/T39Z7or/ZFsX7pAW6Wn+sDgFvM3/c/dhiU+e21mX13O8TB6lESjg61/wEl4oJKG0VnSaA6vhkdlRqmawVsP8DQiPLggqLWCCFliCefCXHN9zowUGQYHuHoWxDhnkdKeGZPB4YX1HHxyw/h9p/OoFovApLB9/Lo6/Kxjjn47n0+5mZctHcWcdGrz0Bvl4eusoTj4Nb62ORnX7aWuK955Wr09vXfDjQmCTn++e2/TOv/A3yedcbqHgCYBHADAOzdewAgeLIRRH2eQ4TLQuysPwbPpSANH3mfIYx4uPHMl1+Zd2df39E1Fe6bGsEpKytY2e9g8QBFLj+Hp3ZRTIYFdArgpJFxXHIhxZFDeSwdzLlDA5VvU/qDKynx3LzvYq7qolRqw8lr16BScpHzQCPhHOzplzvOP/fZzWz/ZV2/WJrQCV4PP3gvANJXnT1Q6SpPyX1TDdy2uYQ1QxTD/QyM1fHAkwCFh8X9FKuWzODmBwQOH/Yx3Jcni4f6p6SUB88668wT/VF+YdZ/A/S/abZBpA2PAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjA5OjA4KzAwOjAwbGanGgAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzowOTowOCswMDowMB07H6YAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 12814410
{'hecke_orbit_code': 1305720390057, 'n': 1, 'trace_an': 8}
-
id: 12814411
{'hecke_orbit_code': 1305720390057, 'n': 2, 'trace_an': -8}
-
id: 12814412
{'hecke_orbit_code': 1305720390057, 'n': 3, 'trace_an': -8}
-
id: 12814413
{'hecke_orbit_code': 1305720390057, 'n': 4, 'trace_an': 0}
-
id: 12814414
{'hecke_orbit_code': 1305720390057, 'n': 5, 'trace_an': 0}
-
id: 12814415
{'hecke_orbit_code': 1305720390057, 'n': 6, 'trace_an': -8}
-
id: 12814416
{'hecke_orbit_code': 1305720390057, 'n': 7, 'trace_an': 8}
-
id: 12814417
{'hecke_orbit_code': 1305720390057, 'n': 8, 'trace_an': -40}
-
id: 12814418
{'hecke_orbit_code': 1305720390057, 'n': 9, 'trace_an': 16}
-
id: 12814419
{'hecke_orbit_code': 1305720390057, 'n': 10, 'trace_an': 0}
-
id: 12814420
{'hecke_orbit_code': 1305720390057, 'n': 11, 'trace_an': -8}
-
id: 12814421
{'hecke_orbit_code': 1305720390057, 'n': 12, 'trace_an': 40}
-
id: 12814422
{'hecke_orbit_code': 1305720390057, 'n': 13, 'trace_an': -16}
-
id: 12814423
{'hecke_orbit_code': 1305720390057, 'n': 14, 'trace_an': -8}
-
id: 12814424
{'hecke_orbit_code': 1305720390057, 'n': 15, 'trace_an': 0}
-
id: 12814425
{'hecke_orbit_code': 1305720390057, 'n': 16, 'trace_an': 0}
-
id: 12814426
{'hecke_orbit_code': 1305720390057, 'n': 17, 'trace_an': 0}
-
id: 12814427
{'hecke_orbit_code': 1305720390057, 'n': 18, 'trace_an': 0}
-
id: 12814428
{'hecke_orbit_code': 1305720390057, 'n': 19, 'trace_an': 0}
-
id: 12814429
{'hecke_orbit_code': 1305720390057, 'n': 20, 'trace_an': 0}
-
id: 12814430
{'hecke_orbit_code': 1305720390057, 'n': 21, 'trace_an': -64}
-
id: 12814431
{'hecke_orbit_code': 1305720390057, 'n': 22, 'trace_an': 56}
-
id: 12814432
{'hecke_orbit_code': 1305720390057, 'n': 23, 'trace_an': 40}
-
id: 12814433
{'hecke_orbit_code': 1305720390057, 'n': 24, 'trace_an': 80}
-
id: 12814434
{'hecke_orbit_code': 1305720390057, 'n': 25, 'trace_an': 0}
-
id: 12814435
{'hecke_orbit_code': 1305720390057, 'n': 26, 'trace_an': 176}
-
id: 12814436
{'hecke_orbit_code': 1305720390057, 'n': 27, 'trace_an': 16}
-
id: 12814437
{'hecke_orbit_code': 1305720390057, 'n': 28, 'trace_an': 56}
-
id: 12814438
{'hecke_orbit_code': 1305720390057, 'n': 29, 'trace_an': -48}
-
id: 12814439
{'hecke_orbit_code': 1305720390057, 'n': 30, 'trace_an': 0}
-
id: 12814440
{'hecke_orbit_code': 1305720390057, 'n': 31, 'trace_an': 24}
-
id: 12814441
{'hecke_orbit_code': 1305720390057, 'n': 32, 'trace_an': -88}
-
id: 12814442
{'hecke_orbit_code': 1305720390057, 'n': 33, 'trace_an': -96}
-
id: 12814443
{'hecke_orbit_code': 1305720390057, 'n': 34, 'trace_an': 136}
-
id: 12814444
{'hecke_orbit_code': 1305720390057, 'n': 35, 'trace_an': 0}
-
id: 12814445
{'hecke_orbit_code': 1305720390057, 'n': 36, 'trace_an': -128}
-
id: 12814446
{'hecke_orbit_code': 1305720390057, 'n': 37, 'trace_an': -128}
-
id: 12814447
{'hecke_orbit_code': 1305720390057, 'n': 38, 'trace_an': -120}
-
id: 12814448
{'hecke_orbit_code': 1305720390057, 'n': 39, 'trace_an': -48}
-
id: 12814449
{'hecke_orbit_code': 1305720390057, 'n': 40, 'trace_an': 0}
-
id: 12814450
{'hecke_orbit_code': 1305720390057, 'n': 41, 'trace_an': 48}
-
id: 12814451
{'hecke_orbit_code': 1305720390057, 'n': 42, 'trace_an': -128}
-
id: 12814452
{'hecke_orbit_code': 1305720390057, 'n': 43, 'trace_an': -112}
-
id: 12814453
{'hecke_orbit_code': 1305720390057, 'n': 44, 'trace_an': -120}
-
id: 12814454
{'hecke_orbit_code': 1305720390057, 'n': 45, 'trace_an': 0}
-
id: 12814455
{'hecke_orbit_code': 1305720390057, 'n': 46, 'trace_an': -88}
-
id: 12814456
{'hecke_orbit_code': 1305720390057, 'n': 47, 'trace_an': 192}
-
id: 12814457
{'hecke_orbit_code': 1305720390057, 'n': 48, 'trace_an': -8}
-
id: 12814458
{'hecke_orbit_code': 1305720390057, 'n': 49, 'trace_an': -16}
-
id: 12814459
{'hecke_orbit_code': 1305720390057, 'n': 50, 'trace_an': 0}
-
id: 12814460
{'hecke_orbit_code': 1305720390057, 'n': 51, 'trace_an': 136}
-
id: 12814461
{'hecke_orbit_code': 1305720390057, 'n': 52, 'trace_an': 0}
-
id: 12814462
{'hecke_orbit_code': 1305720390057, 'n': 53, 'trace_an': 128}
-
id: 12814463
{'hecke_orbit_code': 1305720390057, 'n': 54, 'trace_an': -8}
-
id: 12814464
{'hecke_orbit_code': 1305720390057, 'n': 55, 'trace_an': 0}
-
id: 12814465
{'hecke_orbit_code': 1305720390057, 'n': 56, 'trace_an': -120}
-
id: 12814466
{'hecke_orbit_code': 1305720390057, 'n': 57, 'trace_an': 72}
-
id: 12814467
{'hecke_orbit_code': 1305720390057, 'n': 58, 'trace_an': 32}
-
id: 12814468
{'hecke_orbit_code': 1305720390057, 'n': 59, 'trace_an': 48}
-
id: 12814469
{'hecke_orbit_code': 1305720390057, 'n': 60, 'trace_an': 0}
-
id: 12814470
{'hecke_orbit_code': 1305720390057, 'n': 61, 'trace_an': -160}
-
id: 12814471
{'hecke_orbit_code': 1305720390057, 'n': 62, 'trace_an': 56}
-
id: 12814472
{'hecke_orbit_code': 1305720390057, 'n': 63, 'trace_an': 168}
-
id: 12814473
{'hecke_orbit_code': 1305720390057, 'n': 64, 'trace_an': 64}
-
id: 12814474
{'hecke_orbit_code': 1305720390057, 'n': 65, 'trace_an': 0}
-
id: 12814475
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