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{'Nk2': 18240, 'analytic_conductor': 36.41178332170386, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, -1], [19, 1]], 'atkin_lehner_string': '++-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4560, 1, [1711, 1141, 3041, 2737, 1921], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 1772, 'field_disc_factorization': [[2, 2], [443, 1]], 'field_poly': [8, -12, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-12, -14, 0, 1]], [11, [-32, -2, 6, 1]], [13, [164, -38, -4, 1]], [17, [-4, 1]]], 'hecke_orbit': 45, 'hecke_orbit_code': 198158383637860816, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4560.2.a.bs', 'level': 4560, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '2280.2.a.u', 'nf_label': '3.3.1772.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{5}-\\beta _{2}q^{7}+q^{9}+(-2-\\beta _{2})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4560.2.a', 'trace_display': [0, -3, 3, 0], 'trace_hash': 2078583933303627341, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.097', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.982', 'prec': 17}, 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mf_hecke_nf • Show schema
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[1, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0], [1, 1, -1], [17, 1, 3]], 'hecke_ring_numerators': [[1, 0, 0], [-10, 3, 1], [-8, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '4560.2.a.bs', 'level': 4560, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [19, -1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [19, -1]], 4, 3], [[[2, -1], [3, 1], [5, 1], [19, 1]], 5, 5], [[[2, 1], [3, 1], [5, -1], [19, -1]], 3, 3], [[[2, 1], [3, -1], [5, -1], [19, 1]], 3, 3], [[[2, 1], [3, 1], [5, -1], [19, 1]], 6, 3], [[[2, -1], [3, 1], [5, -1], [19, 1]], 3, 2], [[[2, 1], [3, 1], [5, 1], [19, 1]], 4, 3], [[[2, -1], [3, 1], [5, -1], [19, -1]], 6, 4], [[[2, 1], [3, 1], [5, 1], [19, -1]], 5, 2], [[[2, 1], [3, -1], [5, -1], [19, -1]], 6, 3], [[[2, 1], [3, -1], [5, 1], [19, -1]], 4, 2], [[[2, -1], [3, -1], [5, 1], [19, -1]], 5, 4], [[[2, 1], [3, -1], [5, 1], [19, 1]], 5, 2], [[[2, -1], [3, -1], [5, -1], [19, 1]], 6, 4], [[[2, -1], [3, -1], [5, 1], [19, 1]], 4, 3]], 'ALdims': [4, 5, 6, 3, 5, 4, 3, 6, 5, 4, 3, 6, 4, 5, 6, 3], 'Nk2': 18240, 'analytic_conductor': 36.41178332170386, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4560, 1, [1711, 1141, 3041, 2737, 1921], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 72, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33558992, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3], 'label': '4560.2.a', 'level': 4560, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 984, 'mf_new_dim': 72, 'num_forms': 48, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 1920, 'trace_bound': 13, 'trace_display': [0, 0, 0, -8], 'traces': [72, 0, 0, 0, 0, 0, -8, 0, 72, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 72, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 8, 0, 0, 0, 48, 0, 72, 0, 0, 0, 32, 0, -16, 0, 0, 0, 16, 0, 0, 0, -8, 0, 0, 0, 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0, 16, 0, 64, 0, 32, 0, -160, 0, -80, 0, -64, 0, 352, 0, 736, 0, -48, 0, -160, 0, -160, 0, 32, 0, 80, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1211132
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '4560.2.a.bs', 'source_level': 4560, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '2280.2.a.u', 'target_level': 2280, 'twist_class_label': '2280.2.a.u', 'twist_class_level': 2280, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1211133
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '4560.2.a.bs', 'source_level': 4560, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '4560.2.a.bs', 'target_level': 4560, 'twist_class_label': '2280.2.a.u', 'twist_class_level': 2280, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1211134
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '4560.2.a.bs', 'source_level': 4560, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '6840.2.a.bh', 'target_level': 6840, 'twist_class_label': '2280.2.a.u', 'twist_class_level': 2280, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3634925
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 198158383637860816, 'p': 2}
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id: 3634926
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 198158383637860816, 'p': 3}
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id: 3634927
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 198158383637860816, 'p': 5}
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id: 3634928
{'charpoly_factorization': [[[-12, -14, 0, 1], 1]], 'hecke_orbit_code': 198158383637860816, 'p': 7}
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id: 3634929
{'charpoly_factorization': [[[-32, -2, 6, 1], 1]], 'hecke_orbit_code': 198158383637860816, 'p': 11}
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id: 3634930
{'charpoly_factorization': [[[164, -38, -4, 1], 1]], 'hecke_orbit_code': 198158383637860816, 'p': 13}
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id: 3634931
{'charpoly_factorization': [[[-4, 1], 3]], 'hecke_orbit_code': 198158383637860816, 'p': 17}
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id: 3634932
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 198158383637860816, 'p': 19}
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id: 3634933
{'charpoly_factorization': [[[32, -44, -4, 1], 1]], 'hecke_orbit_code': 198158383637860816, 'p': 23}
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id: 3634934
{'charpoly_factorization': [[[-12, -14, 0, 1], 1]], 'hecke_orbit_code': 198158383637860816, 'p': 29}
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id: 3634935
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 198158383637860816, 'p': 31}
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id: 3634936
{'charpoly_factorization': [[[180, -78, 4, 1], 1]], 'hecke_orbit_code': 198158383637860816, 'p': 37}
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id: 3634937
{'charpoly_factorization': [[[344, -82, -2, 1], 1]], 'hecke_orbit_code': 198158383637860816, 'p': 41}
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id: 3634938
{'charpoly_factorization': [[[80, -42, 2, 1], 1]], 'hecke_orbit_code': 198158383637860816, 'p': 43}
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id: 3634939
{'charpoly_factorization': [[[-32, -44, 4, 1], 1]], 'hecke_orbit_code': 198158383637860816, 'p': 47}
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id: 3634940
{'charpoly_factorization': [[[-96, -16, 10, 1], 1]], 'hecke_orbit_code': 198158383637860816, 'p': 53}
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id: 3634941
{'charpoly_factorization': [[[-688, -144, 2, 1], 1]], 'hecke_orbit_code': 198158383637860816, 'p': 59}
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id: 3634942
{'charpoly_factorization': [[[144, 0, -14, 1], 1]], 'hecke_orbit_code': 198158383637860816, 'p': 61}
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id: 3634943
{'charpoly_factorization': [[[4, 1], 3]], 'hecke_orbit_code': 198158383637860816, 'p': 67}
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id: 3634944
{'charpoly_factorization': [[[-640, -168, -4, 1], 1]], 'hecke_orbit_code': 198158383637860816, 'p': 71}
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id: 3634945
{'charpoly_factorization': [[[-6, 1], 3]], 'hecke_orbit_code': 198158383637860816, 'p': 73}
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id: 3634946
{'charpoly_factorization': [[[1024, -192, -2, 1], 1]], 'hecke_orbit_code': 198158383637860816, 'p': 79}
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id: 3634947
{'charpoly_factorization': [[[200, -44, -6, 1], 1]], 'hecke_orbit_code': 198158383637860816, 'p': 83}
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id: 3634948
{'charpoly_factorization': [[[-48, -50, -10, 1], 1]], 'hecke_orbit_code': 198158383637860816, 'p': 89}
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id: 3634949
{'charpoly_factorization': [[[-36, 258, -32, 1], 1]], 'hecke_orbit_code': 198158383637860816, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 45, 'label': '4560.2.a.bs', 'level': 4560, 'portrait': 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E9ZIiOIEp/lrmQ49vC1QFjDwrRhfiphpRvQHQpGscfqQLBlyrDcMZw4r6h5PltmYcdCyOa5EZvmxmyZG7Njs2XnFsWVF3nUVZOjJ9p87Qmfhw7EPHY8IlE93vTSDm97saWu5jhwfJqjZzSnLyScS8F9aMly49WL/Ny7VrlofoozF6a5sFpjueOx2pV0egmdQUJvCPuPLPHk8e6VTx4487Ljp89dfOLMhc/d/JpvDe++7aPPNSS+odvfawZfWemwGlpqil++84GDL/753/pz+e0vO/Hin3jHCb20upXF1RmWVhssd3yWO5rlDqx0ElY6EctrCefW4PCyYGF+jf/4vcu88PIGJ8/PcuZCkzNLmvPLlnNLMacWEy70YqZnR7zk2j4vugJ8WSdQAedXapxd0pxbEQzGEMeGmm9o1hJmpmIMcPxcTLcPuzZ7NOtjrBUgfPpDw84tY5bXNFgnRdb6MI7BYlnphGzf5NEbKoSyCDOmXfPYuXXE2kBw/IwmMZq5tqRVEwQexLFgMJacW5GcXbacX40JghF4MTdf1efFVwsW2nWWV9ucPB9wZgnOL8WcX4k5vQKHly0vuGqJX/zeVbZMtzlxbpZzy3UWV32WOpKVtYTVbsRqN2GlZ7nQFRzrQG9lld/6iXH8T7/Zu8eb/VEj69feo2T801FSxw/azzVUnvH295bB//zDf8VNL7yB//DvfuKX3vcXX/4/f+sDt1968ETn4iNnB/KWa4bs3mKJY421Mr0LsBKQgEAIixYWX8KZ5Tr3HZJcu2eFKy4a0aiBpyW+p/B9TbMuaXiSQd/j6WM1vvCQz/ELY7pxxNMnx2yeW+HNL1nl2kt7vOCKDseWYpYGgkYw4sgZS6fb5JpLJGujhH3HFK2G5snjcNk2yyhMGCU+WkfMtGD/yQClEzwZoz0YjiUvvGLAcCC59tKE7jDh+JkWu7como2QtbFl0/SA1X6XD98OjxxNeOzoiF3blrlub5eZ2ZA33tzj215u2bOlRRJNc/T0FIdPeZw8Zzh1IeLUhYTDFwQn1iKed/ki//F7e2yenubkuVnOLzdYXPNZ7khWOwmdXsRaP2Gtb1ntw7mBotMLedFVy/zLt16QTd9cvLp0dPdwmNwka3vr9cbMF79yxyf54/d+8LmGzIa3v5cM/vGP/zXX7N2l7r7/qf/r0NFzP3PPQ0fVicWQ5ZFmcZRw3cXn+fUfXeSGPQ3OrcywvNZkpVNjpeOx0tWs9mC1k7DajVnpxSx14OSqQNdH3HL1Ct/+8pDdm5qs9dtcWKmzuOKz1BGsdJxEWO0ZukNDd2wZjGLm2hE7NxtAEHiWUxc8hAzYtUmxe5tl26YB51fHPHqwxfMvszTqqzxxaJZWMyQMPeZmDMMRXLlzxAdvn2bvRTHjsWV+ShIlQ1q1gCePjah7Ta6/POaxIyHnl322zwXs3go7t4QoFXFqCXzPIoRl1+aYmZakNwzoDzy6A4+VrmJlDZY7hpVOwlIn4VwHlkcJO7f3+fZXLHHLFZqa1+bsUpul1RpLa5qVrmC1Y1jrRaz2EtZ6luU+nOsrzq3F3LT3HO/+50vs3VFntdtirVdnrT9NKPYmKtj6S4nY9YvSnkte94a3PNfQWXf7ewXwAwcOUKvV6qdOndq5b9++d544eeY/7Ttwks5AsNq3rA4li0PJ2V7ECy45z3/50RWuu6TOhdVpltearHZrrHQ9Vrua1S50eoa1XsxqL2alaznfEZzpWxB93vbSDm98oeGSrTXCsMFqp8Za36fTU6z2Bb2BYDS2hLElSUBJS+BBPbBMty2bZiO0N+Lw2ZDHDwWYuMnrbwrR3hoP7pvi4q3wmftiXnpNwIXOkJpWxEnE7AzEkYf2YpaXG7zkhi6f+WqL3VvhgYNjPBq87oWGWAx5/HDC0VM1tPTZPKOZaQrqgcD3BUpAbCCMLKMQegPLWt/QGxjWBoblvmWYJOzaMeCNL+rwtheHYFosr01xYaXOckYGHVjrJXT6MWs9x9wrfTjbUyx2E15w+Xne/aMXuGpXnaW1KdZ6Dbq9Gitdn/PLEl3bTnt688/u3rP3L7Zt33FiPBoNL7vs8ucaSvnt7w3Ajxw5xPzCgn/40KHvP3Tw4O8+/MijYq0zkIORoTtI6A4M3aFgdShykL/w0gv86g8tc8OlNZbWMpAHrPV8VnuatZ6g07N0+glrvZhO37Dat1zoCc52DDPTA77pBT1uviJm12ZFu+7R7dUIPAkowlhijMBYGIwAYZhpjTh42mJsyG0PNBkP6ly63eeWawdEZo07H5rm+ss8Dp7r01lt86JrB3zxwYDNs5Z9xy3/8q1d9h0L2Dwr+cJDiluuVKwMuhw5Ocv1l4fc+fiQeNzg5qt89lw0Yhj3+fyDChLB4VOadkOjBQyGLqhOjCWKAWnQvqHTtzRbERdtHfPiKwd80/Nj5po1zq9MsbxWZ7Xrjs1qV9DpQ6cX0+nHdPoJnYFlZSA51xMs9WJu2rvIL/3QItftrrGYgbsf0O37rPU9Oj1FZ2Cx1MzlV1xrL7nk0h+79NJL37e4uBhedtllzzWkgL8nAA+jSI5Gozff9eXPXRqG0bsfeugBL4whimA4TugPY/pDQ29k6Q4F3aHgwlByphNz85UX+OUfWuT5e3zWulMsrrbo9Gus9XzW+jo9CdDrW7qDmG4/oT80dAaWxb5gsQ9RMua6y4ZsmU3oDyxveNGYi7cY4kSipSWM4I5Ha5y4UGPrTMwTh2tgGlyxQ3HDXkNQG/DgwQGLS02uvrhJe3qVrz7mceNlNZYHa6yuttmyxXLfPsV3v6rP/fs0OzZ5LPU7rK7McsOVA776RMJsfZqrL+1zodPhvqemqesmL9hruXznCGSfR48KNs1GnF+MuPNRj1GkkBISY7l4a8g3vSik11dsmzHccBmEYYOVToOVTsBa36M7UHT6km4fRxr9hF5KHmsDy8pQcror6AzH3HL5Ir/4g6u84DJ3cXR6dbqDgF4qh7oDRW8oGYxgMEwYhQk3vuDGSCnv37/5zW881KjXP6W0Z55rbD3nmczRaEAUDr/32KGHf/38mYOzS0vLNGoSHQtG0mKtxRiFy8inFqCwSGmRUnP/gc389Hs0b71lhe941Qq7t4ecW24T+HXqgU8j8GjWNb26pDX0mGpqBqOE/jBh89gwHFt6o4CVxRqnTlrC2HD6XEwQWEDgK4uWgsFQIfCIB5rnXSzYs82yc/uAcdLjs/cr9h+a4bXPD7jhylXe/1mLLxpcvH3AY19VbJ9WzLcH1FSdMPK40INmTbNjs+CR/SE3XF7n5dcv8Se3DvG9Fq+5yeIFA750X8hn7m3y1NE6l2xrcPHWhIWZkN3zEddcnKCUQSsLWBpBwMJ0QBh59AY+Txz06I80g6GiP5L0h9AfWfoD9917w4T+0NIdWtaGsDhQnF+1NKY6/PjrF/knt4y57pImZ5fadPo1eim4e8MM2ILRGMZjt4IkCdzztQe8mZnZX5+ZXVh58S0v/LeD/uBPGs3G/7oAj6M+wA+eP3H3Lx/df+esifq0Gh5hLFEhCARYhU1/XwgQwnXSKGlRMsGXkscOLvDwgSYHz1zgrS/u8+KrRky32qx0GjS7NdpDn/5A00tP9nCkGYw1o7FlFBrCyBJFljhx9zD2sQakEnhaUPMF0y3BTAu2zBt2bB4wP9Phcw/CXQ97SDPFa5/v8bwretz9VEQ4anPL8wSd4ZALy01uvtwwPz2grgNGsWKxG6GM4HmXaxqtMQ89XeNlN0zxout6PPS0AjvF86/y+YE3rfDFR0K+cH+TfSdq7FxQbJmtM9NqMNWCegCetigJxsK+o4IkEUSxIIxhHOG+4zhhODaMxobByDAYG/pD6I5hsS+50IOxGfHq61d484s7fNdrDHHc5txSk26/Rm/o0x969IeK3lAxGAl3T4/fOEwYh4YwMpxbOs2x05+dXVxL/u+3vullutMdvGeq/dyB/DkDeBIuIkT8A90LX/zltTNf3NTwQuan6wxGhuEYlBRIIRFCIIRCCIGUpOAGpSxaWTxlqHuCpUGdD92+gy893OWl16zxrlevcc3uPnPTDZbXGvSGAYOhlwJbuXsoGEeSKBbEsVvqbXo1KWnRGmo+NOqG2VbE9k0DYvocPB3x4TtrHDnZZDqoc+NVmpuv7XLfgQ63fa3NTZfV2Ll1wAdvFygR0G5FrPXHGAtKwEJ7QLfnY+I6b37pBT70mQZ7ztd4400DwmiZOx+fI0pqvPCqTbzxxi6XXdThSw8NeOxkg0eP+uyYlcy2BY1A4HvuIpTpxW8sGGOJ4vRijSzjyAFxFMIwhN5IsDoWrPRA6BHX713jXd+0xkuvSphr11ntNuj06vQGAf2RR39YrASDsWQ4woF7nDAeG2eFhpZxaBmOFaeXO/zeB7+4aXHAL3/3W19sT55b/eOLtsz8rwFwu/xLGD2FGH7g+5Ko/+5w9al5T0a0m20gSuWHQknpTpqUSOHArqRGygSlRLo8GzxlCbSlrgWrI8VyZ4aP3NHk3if63HLdGu96zRrX7+kwl9SJ44DBqEZ/6DEca8JIEcWSOJEkRmCsyCVQ4BsatZjAD/G9MaeXx9z6gOTQKZ+jp2ZQJmDPVp8rdyuef0UXFSzy+OEW26cbXH0JbFlYZaXb5prtkthYPnd/wHggmW7GvO6FIz51Z8SJcy32Xupxdm3Ek0c8Lto8w3W7F7n7sR5ffVIwDn2u2D3LFRcFXLGjx+GzKxw6Dffvb3DwSJOGFgRa0gwsNQ+kdEGVte5ijRMIYwgTQX8s6I4E3QhCE2PsiBdc1uVd39TlpdckbJ0NGI2mWO7U6PUD+iOfwVDTHykGI8VwLBiOJMOx6xsdjZMU2IbR2DIODcPQMhjDMFKcXerwX//HFzc9vO/Qu+en/Pjnfu2P37//dMKH/+sP/+MF+E/8yu/D7B+yeuzt39XS+38rGR+elqZO4E9RT0KMcQkaKS1KugBKqZTNlUAphVICrQxaJXha4GuD71kCz9LwE6Zrgt7YY7U7w0fvanP7oyM2zwx45ys6XHHRiNGwz9W7LRdtUYwjjyRRJMYligQWKQ2eTjh+3nL0nGBtaPjE3Q1OL81gQ4+ZmmLbnGbXFs0l2+HqPV2MXOIPP9VkZWWKm67QXL2nw5ceFYjYY9OMpNmIGUQ+0kqwEqV9OiPB+RXBVbbBK57f456H6myb97np6ln+2ZuWeN9netz/dJP+yGN5rcXubXX2bh3wwst7fOvLepxZWeETdwcsDwKOn/U4fdrHUwIpJQKBsZbEQGQsSWyYmYu49qoB43HEFReNefsrxmyaUsy2AqKoxtnFGoOhz2DsVrlhDmzpwD12mtsBOsmlySi0+X0YQn/sLqYRiuVzq/z5x07NX7P3ot960Y27og//14U/Wzz2ayxc/BP/+AD+I7/4J7SueJ34nn9n3rGj/eQfffsr9jWed6lERYbAD0kShTXO1BGSPJB0QJcoKdFKoFX6qAWeTvC1wPcMNc9SjyyN0DJVS5ipCwahpBc2OXqqya/+2SyYGBHHPP/aAbu3hMQxGGuw1iVxpHAXkvZ8nj7hs+9QjWZN0/Il8w3Bwpxk06xm24Ji19aEvbvWSMQyv/2xNsdPTHPT5R5XXJwwjHt87fGA6brH3JRluhXSqDspZIykM1Ks9C3LnYROv85Lrl7jgX0D9p9QTLdrvPCqaX7ozcv8zsfhoUNN+kPLWk9zfqXNlvkGm2ZG7Job8RPvGNBudHjsKDx9UuJ5FqUsQhjAuv9ZiGO4eEvCLdfEJJFHFAdY22AUepxb8hmO3Yo2ClUu34ahYDQWjELH2uPQZWXHY8M4NIwik76X3WEQOXB3Ikk/BjCMQkM0eHz6n7xw6Y/+29LOWM59y0cG537dNrb82388AH/o3l/lhpvOqP/7v3/wbQcPrb7/Tx88U3tk3wzv/pcdrtg1wlqFNa5NSghSYGuUsi6YVCrV2xJPO83pe4qxJxmHhiBMGEeWemQYR4YwtLRjGEeGcQxhLBhFknESECU19h9q8uh+SKzFQdtpY0+Cr1zNRyuAq7dCuw5TTclMSzE3rdk0Czu3jNm6sEZkV/jtj01x+MgUN1yiuGSHZM+OVb78ZMz55Smev1sy0zbU/CGBDLBKECcSYS1xErLar3F+2eOGK+o87/Iedz9UY/OMoFFrccPlhh9/2zK/9XHDk6dbrPUNaz3F4qpmfrrJTLvOTHuKdiNioRmx64aQwIvxdIxSCVK4YMLiLqooUlxY1ESxIooVYaQYR+ljKBlHknEoGYWScShcgBoKxqGTH+PIMXYYppo+cu+PQhhFgmEEg1DQCQWrEYzDCEZDnrenx6/8y2Vef92ZRjyK3//4vbeaf/+eKz/239//28m/+L5/9Q8f4P/iP32QX//UlLrorhNvH67u/5N7Hz5To97gs1/TeJ7gF3+kw9U7+kjhUtBCpsytMqfE4imLpxWetnihxPeEOwmeYOwrwsgBPYosYZw4VyQu3ROIE0uSGBKD09uGHNxCgJKgJXgeBFpQCwSNQNJsKKYakpkpwabZmF1bBrSaa3zsnpA7H59lbanNtTsVu7Z6XHbRiESs8bn7GzQ9zcKMotUY8fhheOqI5pqLLIOx4rrLIq7dYzl3NmFx1Wc4avD6G3t85bEhB08rmnVJ4Le55hLDL37fMnc8OeRTd8yz3LXs2pSw2tFMtxVTTY9Ww6NZt9QCQ+AbAp2glZNaMm2ttBaXsDKC2EjiRBDHgiiWhLEgiiTjyDkvYSQII0sYwjhKCCPnjmTEMY6ye+rSZOCOBJ1QshbBaBwioz7P273Gf/zRZb75RTGjcR2ZPFFbWfE+8Ls/rv/p3r1zf/m9r/utpLXtX//DBrgvlDR29Tu+eN/q7z28v1ujNQdYkD6fvFsTjjVvf1WXd76qz1Q7QQ0SlDRo5bsgUif4WuNFmkArRp5jmrEnCX1BGAl3ciJFFEMYSecgxIXtFyeGJHHuQmJTpyR1SzJ3Rkkne3wtCHxJLZA064J2wzLdMmyeHbMw0yO2a3zkK5L3fWaOTbUa1+4U7NzqcfE2w66tq3zsa5aVlRpXbFHMtKHViDh/THJhNcDfDeNIsDAlmZ6Gg0ctq13DuaUal11c41XP73HrXTXmWhD4PkpOc80ewQ+/8QKevMAn757hqdM1NncjNk3HTDUVrbqiUZfUA03gQ+CB1s5hkgKkKIEcd2EnBpJEECekQIcosbjkWuJIITKE2WNkUtsxc2UcuIexYBQJ+pGgEwt6oSUaj5kKurzz9cu881V9Xvt8Q6/fIE48oM7eTYdqNT/4o+WzdS1E8Oc4nvmHCfD/9kcfJ07M9332K4f/y+GDp9oN1cZXECaWSPkkyuNz92u+9mSNsysr/MtvHTLTjqgFMd1+Da18PO25e5gQeho/dNIkjFwq3TGOcEyUslIcQ5RAkjgnwRgXcBljsx7OFNwO4C5wFXjaAaQWQKNmaNVjplsxC9ND5mfWuGd/yAduq/P00WkunvLYswV2bPHZsRn27uwyiLvct69NXXkszCimWzDdGjMzFeP7GiHcxTUc+6x0I9YGlk4/5sKqz84tLV50xQVuu3/A06fbNIIIT/kIMcWe7Yrvec0SL9h7gQ/c1uK+J6ZZ7ms2tWOmGzGNmqReUwSeIPAknudiFaVI7UOHcgtp4owc6HFi0tUttRZjQ5w4cMcRhLEt7pFzZUYpsAeRoBcLejGMhjEmHjLX6PEvvm2Zn/jOAc26pttrEUYecaJJEoWxirXlM21Va/y2br7AP/H0R9+3c++3/cMDeGetg1TyB3/vvX/1y6vnT83taENoEkaxYJzAIBEMY59xS7E29vkvH/bZd3iVN7+szyuu77F5PqTXrTMcB/heTOB7jENN4Dt7LwN4FEnC2C27UZx62gmp9UfK3BJjKcDtkpQpc4NWLmHie5aab6jXYlq1mJn2mK3zXc53BvzuJzw+98AsK6tNLl0Q7Nwk2L7JZ8cmwe5tI7S/xofu1Bw52eTyzZKZlmSqmSDlmNOLlkA729NaQRhpdm3qcj8J3YFitWs5v1Ln8h01vvUVHf7ySz7Hzgd4OkIID2ObRLHk+btX2fWdXT730IAPfm6WB4812T4jmG8mNGsJNV8QeALfc7GKVrjAWYq8JsPiLjJjcU5L4gCfgTxOnKRzYE/JKI1jwhjGsWAYQy+W9CMYRIZkMGbHfJeX37DGW1424A03JniiwepqQBT7RJEmSjRhpAv9v7g8N7Vl/O69132rGvS772k0/25qyv9OAL621kF73j/74u13/fKB/U9tmmkYhlowiiyBEoxjQS2xDJWgHysGsk4n8vjQl2vc8ViPG67o8p2vGfDGmzrMTQcMRwHDsU/geYSxVzlQcayIEkkcS6JEEMeSJBEkRhRa2whyVWLTQFa4ZJFKk0W+Zwj8hHoQ06qPmZ/uM4yGfOlxy4e/PMV9T0wz43tcs92ydVayec5n24Jkx+aQS7av8tixIZ/4ygJTSrMwJWg3Be1GRGeQ8Jmv1Wj5FiEcsIZjzZtvGfPpe11NTKdvuLCq2bGpxVtf3Oe+/T32HfRpBjFKCgdy02AUOq3/Pa/qcPnWC3zoji5ffWqaE6t1trQFUzVLwzfUtMH3QCuBkqQJMve9s/Ijk0o1Y4oVLk6B7ggCokQQJSmwE8EoFgxiQS+BcWiIw5BmfcBbX7vCd76myw2XJ2ye1QyHLbp9Pz1XHlGkCWOVP47Gmv5Qcb5zcJNR9/7yVdfeYvr97nubfwcg/1sFeLe7Rq83RErxvffcc8+vfelLX57rdtdo1CRCUgSMCrwEvBgCCTUl6CuPoac41fU5c2+Dex/v85fX9nj7q4a87pYRs9M+4ThgnB20WDtmiBVxooiTNGGTFAB3bWzk9iO4bJ8LKl0dh9YG30sI/Ih6ENKqD0kY8sWHJH92+zRPHJ1CRAEXz1i2TlvmpxULsz5b5iXbFiJ2bulycrHH73+qSTyus2OHYLqlaTeh3YgQXkh32GS6ZRFCYC1EsWQ2UMQmphf59AYJq13F6cU6V13S4ke+ZY13/3nA8cUmWkXphaGJ4xqjULJlLuD5l3a59pI+Tx4/zYe/XOe2B6c506nTDBQtH5qexdfuWGvp0vlCVKvrDGCNu+gSI0gsxIlw/nkiCBOXJBomgmECw9gSxzEmGjNXG/L6V6/xzlf3eOk1EVN1TRg3We0EKajLROSAna28o1AxGCu6/Q7L9965aRyKX7v62hfEZ8+d/R/Nep321PTfT4APBkMajdpbnnj8od+55+472oNBl1qgAYPFIhGpBWhRsXMtfGnxE0FdCQaJYKACBrHHhXGNT97b5M4nBrzwC33+1bf1uHJnl03TinZDE0aOIeK4AHmSAdxIjJVY6ySBzQPKNNWvrEsW6ZjAj/FUSHcYsdiN+M2P1Th6YYaH9k1jjc9cXbBp3jI/JZhrK+amPTbPSbbMxWxfGDA3vcrnHjY8+NQ01+4QzLQkrYak3TA06yHCGxMEGq3c37cWkkSms1oiYiPoDQ29vmWl63Fuuc3Ne/u86Ko1PvSFGvUVhZaRA6TVxIlPGLkez/npGi/Y0+cFl/a5/+VnOL4o+cBt01xYa3BqOcBXkqYn8DMZJl3gmRN5JlVwTB5bQWwgMk5GjmIIjYUkhjhCqjHbZoZcu8udjxuvTGjXNXHcpNMLGEc+cZxJkZS1Y0UUqRTgsmJLJkbS7Xa5/ctfngtj8Ts3vuCG1eFw+Im/TUz+rQH8wIGDbN68Rf2PD3zo0hPHD7dXVjt4WmNMgvEcyCQWKQU6ZXOdWCIl0LHFTyBILA0lGCrBQAcME4/lsM5tD05xz1NDmsGYf/qGDjvmYi7eNuTmq3to4VrEhHByxWUlXa20tSXmxlmQSjjP3BKDjHnyqOSB/Zpb72vx5IkWYdygpRULdcts0zLTsM4Hb2tmpzRz04ItszHbFoZsXVjlzifG/OGtm9g6rVloQ7upaDcFrUZMPRhzzwHFKNR4TQcqawVhLKlpxfWXD7n38WlX+DRMWOt6LK0FnF+a4UfeeJ5TS8vc+8gCngREhIEUQB7jUNIfamZaNabbTV50+YCXXzvgO1+5yP6Thk/fV+O+/XUOHGkSC814rBhECpXX95QDzzQnYA2xsVhj8ETClB9SI+JFN/TZvXXEjvmId71uTN2XNOseYdig03Ns7QDtOclYuUtnR0YyZfPUkgxdvISQDHpdHn/0q+1odOHS17zu7er4scPJrov3/P0B+L79T7GwMOM/8MAD3y9E8l+WlpcB6QClBNoIrJe5FlkiR6ATB3ItnebzUpDXlKCRCMYGRonHMPEYJDV6vYRf+9AMNo7YvDDiqp0j5qZi3v6qITs3hUSRSPW2hBJzk/9dg5CCj95R57HDTYTWHD/T4PT5BrW6YioQTDct7ZqhXYNWXTDVULRbipmWZm4a5qdjNs+N2L6pS2LX+OhX2gz7TS7bYWk3FK2GpFU3tGoxnhfyuXtrjAcSb5PrFs0kSrOueP0Lh9z1sKE/lvSHCd2BZq2nObfc4MrdLd7+0i4PPdng+EoLJQ0QpXrZI0oU48glZvojTafv06o3aNbHXLljxE17R5y80OHY2TW0l/DoEc1ffrmBUK5wjcn5g9YABqwlChN2bY5556uGzLcT9u6ybJ6DJPYYhy3i2GO16xFHiijRaRzkAJ0B3MVEMg/8c6DHzvWKYnfOjYUgUKyurNAfxP/lsUcfGmzbtut9B57eH16+94q/HwA/e+YUqytLl588eep3H3roAamkyplBK4G1MtW+xnmzKYOrxIHcU86H9RKnAQNjqSXWBTnGEiaCsZGME0loPCIDi/02X37MYEn46/vcyAasSe9ZFi+1yPKKRIlUijjSSKPxtKQVwO4FS9MzNAJDI4BGIGjWJa26k0NTLclMG+amYhZmxmxb6JGwym/+VY27H9/EnjmYaaTs3ZC06jGNekizMaRebxAoiZKpBsfJgSjyGA0Fw3FCb6zojwy9oXEtc02fU+eneMlVY378Hef59b/UnFgLEMJgbYRJLFHsEUaS0diVsbaGmmbNp1Gv0Qga1IKIVj3k+ZeF+F7EjZfFvOvVA7SK0ySQQQhbFeWppDNGIoQk8BTgMxprlledzZckWcyTysIUyHHiQB3nAX/hbMWxyJ+Hme+evmeM+5tJYnnggQdkFMvf7XQGXxmHoyf+NrD5/xrgX/j8X9Os6/rx44fedvDAIVEPtPvAJqNPCThwCyFdjYkCleB0uHJXsk5c72OcRfSJIDa2iOyN04fuLgiNJLaSxGgiE5Cktlf5lmcpBWjhpJGnoFa31LSlphICDwINNd9SDwR1X9KoSxo17QDeFEy3DLPtmLnpMZtm+2zbtMwf3mr44G2buWhaMd8ytJuKVkPRbECjntCqR5xdNhw+G1Dz3QUNWaWfYBRqdm8xbJkf0R35DEc2ZXHJWk/TqtdoNaZ516svcOTsOf7oE9vRUmMxJCYhNpYo1oxDxTB0RVGDmqQx0tQDj3qQ0Om5GMP3Ejyd4HkJWrpGCSmTInss0roVd8RSkAs6Jq2yNE4vJ4nEGElsingnTgRJ4gDtkkdppjQpgJ3doxzo6flN3ZokAWMFUQQPPfyouGRP/227dl18+C8/+rHh27/tbc8twPefEr46de6n5OjCT0XRWPqe859FIhyY0wYFIaWTJsKijEVLSywzMJN71s6ucp5skmXdjCv/zNPsaaWc83JFHiiVNTeQZvJcYKWlQUvSmhbwlMDT1vnGWlALJDVfUg8U9ZqiVZe0GpapZsJ0K2a2PWZ+ZsDOzcvcd2DMh+7YxkwtYHPL0G4IB+66pFkzNGsxrcaY+56GR/c3uHTBprq3SJsPx4ob91ou2znk/iemGYwtw1FCf6hTkHs0anXqtWm+/WUrPHrgAvfu2wJWYUziymFjSxzZPHAbjjWNkaVeU9R8Q+B7BH5CoA1aJ3jalRhnZRBSuvODsIiiraQUnIt0mFLqSJnMfi1ZsRmwjcjBnmVJE1MFeJyu0HHsiCqpnHeLsYLxcCjPnj33f111qfIvu6r+S0D4nAG83x/I/mD4C+953wf/7bh71ve0RsjCZ06MQBqQUiITSyLdXSWWWLnHxDgd7g6cxaQHJsmzjzh2NtlBsOmyRp68KWXeKytulqrOEjpKphlLRaloy2X/Al9RCxT1QNCoC1p1S7uRMNWMmW6NmZsasm1hlXufHvILf7KZE6emuWTeMN2Adl3RrCuaNWjWEuq1CN8b0Rm5akhPueA6u7kTL4lin3Y9YhAbV0c9tgxGCb2BpFNXNHoBtaDFxVsifvH7O/z8+yVf27cZi8JYQ5IY4iQmjE1uvw0DSX2sqPmSwLcEviLQBs9zfr9WaZ2PsjnhkDZLVOghTe3blERsWsuSpIBPTPHoACrTR5ECvvQ8dqtukrJ1XAJ1YsAkNk88CSFZvHDOP3e+8e+ve8G3eOPx8GeDoP43Tuf/jQHe7/ewNv6lB++/59/0Vs/UfK3y4h6FA6RMkyzSCJS0xMZZhEkGbpVm0pTNWdoYm6eRTe7Rgk2v8CQtAS3fmQB4FsyKDNzCgVspJ4l02ormaUnguwFAtcCNZKgHlmbN0GoktBsRU62Q2faQbQtr3Lt/wM+/b56nT8yya9Y5LK26pNmQjr3rlkYtoVGLiJKQP/1CC6kUnrQoUdiExmZLucf3vHaVzz8Y0gsDBinA+0NFr6/oBJqaHxB4bfZeFPOffmCZn3uf4KtPbMZYSWJcWj2KXaHZODSMa67cNQgENU8Q+C6z6WubZ2y1MkjlvHFXllwCeJHyBFISweUSnNuSBvIZgNOpAyZPrpGyO/mK+4zANjY/59a4LKtA4Hmax586W6s17/4/Xvqyl4tut/vT7fbfLAn0Nwb4qZNHsda86OCBR+uNIEYrmR6oFHgSVApOlX5RlYgqqBOLUQWwywxtTNF+5YAuXB1FBurswE98rgzgWQ1GlsnL2FvrrO5E4nnS1W/4glrgZp40goRm3YG73QyZbg9ZmO5w3/4Bv/DeWZ48Ps+OGcFcsyRNappmzdWv1Gsx9SDE88acXp7BUwIlTWrLFUFmkkjiWLF1xhLHEd2olnbKGIajhN5IUh8oar6H79Xw9BRX7Ij5T/9skf/wx3DvU5tIjHQATyxRnKRMbhgHhlooGfkql2CeB552Es3VqTj3SmbeePq4AcadXCFNCiHy5JBJk0NZtjhJSkmjUr2LybR2ek5deUAJ3NlKbLO2O8Hi8oiv3fdgfeu2nS8qr37/nwD8a3d/gTiOGg/de5tP3KHVcJ042c2agqkqTKzc1W2kcF9QF1+2AHNZhhQ/Kx8Ea9cDO7tJURRRSQlSihzcSsq0USKTJ1DzIPAN9ZqlHjj93KhHtBsh080h8zMdHjw44ufeM8PjxxfYNq1YaBqm6oJWTdKoKRp1Qb3mLg6X6g+5d5+gP/KpKdKLzGnwrAkhMYIo1jRripuv7nHfk20GkZMpw3HCYKjoBYrAV/ien+rnaa68yPArP3SBn/wD+Oq+TURGEhmTNksXPZhjXxL4xrG3V9TRa5XdSWVKIeNkmuXdCORZUshmAE/Pc5I7L1RX3kxaJhMEZrLeV5uXCBTn1VZW4nPnV/nLj33Sf8ub39D45K2fHXzLm97wdw/w06dOMLewffrer3zi960ZvizwYhCykAq2AHfBvkUNdqJKV7wBo8TGrF0CtLHVqzz7QxXdLVxBkYsBRF5kpHKAg0orBj0NvofrBPLTAqsgoZ7Ki1Z9zFRryEyryyOHxvzce2Z49NgmtkxrFhqGqTo0a4JmXdGoKxo5eyfUgphWY8Sdj/qsdWrMzBRp8gwwJtWmUaLYNKd49fP63PmAcV00oSmBXFLzJDVP42kfretIabjyIssv/9AFfvIPLF99ehOR0URpBaAre3VMHkQyry70tUTrtAhLCpTOjg3558suwkyqiKwqjSIhNHk3pUdjSo/5ubcl6WnXr8wpoVX+XTJyS/C7w5cdPHT0j7/7O7/1R08cP762c9euv1uAjwenuXD6wk8OOke+w8ZLtOoaY5NUQmTAprSMZbqtVKZZuuIz+ZHkMoScvSuB5CRzp0jPMnK59pZZBV2hu7OKQa1w9Rna4nmusbjmG2p+Qr0W06hFNGtjWo0Rs1MdHjow5qf+YJ5Hjmxm07THpkbCVMOm4E7ZuyapB479a0FMIwiJzZheGCCUxMsYPNfgIr3gU7848mj6I1cuENaYyUA+Shj4jsEDX+JpjaezDWgt11xsefePnuff/Z7hq/s3ExnNOBGEiUlZXFCLDIFn8T3Xu6rTuEMrVyKspCx6XgWI7LFUmJVfmOVYZwLcOQmViCkD97OBOvsdW7k4bOViOn5qkUbryHd85Z5HDodR9B/+Thk8GR1CBjt2HX7kD65t6qMk04Y4SdJlp4iqMyssyTtJbPqYgdmWrnSRH6jEVFeA4qoWlRUiP9QZa5eDymy5TTt0VBpMaZ0WeqVFSFn1YM1LUt0cUa+NmWkPmGr2uHdfzE//4TwPH9nMwpRmoZ4wVbO0UnDXa85OzMBdDxJqfky7GbLvmOWOh5r4UuIpk8YmhY7MAucoUcRG84rnR1x6SZ/DJ+osNCj6HMcJg1HKwlqhtZd3OQlhuXoX/MoPL/Ef/sDwlScXGEV1lwyLLY20hjvwcCDX2epl8t5WqZJ8hVNSlAAuSiBnnV4pQG6rAM/BWqy8OYhzNif/nfwimAB4gQ0Yx5L7Hj9D3z5w7S/+3A/tenD/6eMvuOIb3+7wGwZ4v3ua0M5eHF24+zc8efYtzWAFbINx5EacJbHzQo2REyyd+ah24rG6pBV2VClyL7sk69ySlLknwZ0lkrJsqUznp6TM7WuD5xkCzxD4MTU/phaENGpjZqcGrPYG3PUE/MqfbeGxQ/PMp+CerltadUGzJnKv3DkvxrG37wBeD8aEScJoWKOm3EUmRWnpJ9OsIg00tdPyeuzmikSiBHCD7yf4nsbzJFoplPRygCPgut2CX/nRVX7tz2O+un+OM502o6ZkOrG0YkstnTgQeDb1/jMnxebsnUmVDOD5500/dBnnuUJMT0pZUhRMXEjK4tzaqnzJLowS8MuuWTb2YhxJlvtDvJOrb7n1s19Lvu011/0fR46dOXbJxdv+dgFuxk8j4sZNo+5jbxv3niIIWhgilDSEsSJRWbbLVtg8B7Qp5EsuY6woXd2iqsUmAJ4d4rIqzE6CG/eQsbctSgHy4UCuLNbTJh0zkeTgDvwU3LN9FleH/PKfNvjE1xZY6s+wMCVZqKXgrjnd3UgDy3ogaQQ2ZXCnvWtBCITc/ojPauQzF1Cpx0ZUV6gkcc0P7UDzqhsG3Pt0SC8KmMo71g3+2NWq+9oBXCuLkh5CugQNFq64SPLr/6rLp+8d8kvv3cyppRmG05ppX9CKDY0YgsiNXvaVG2jkZYGmFHkQnD2WA/XyhSlE3iuSnx+YkJAZsCvMXtLqxq7X6+nv59ZimgAKY8E4hthq7nnoMLsu2vy2uen6n651R8f+Vhnc2g7Qvizq3Pqv5fhufA8gxliXrVTSOl83bWg1eYo3Y29RkSMFU4u8XttiCxtqkrXLsiQ90BmzZOnmzAVQGcCVy5bqNHvn6bS/00vwvZiaHxH4Ea36EK0H3Plowh9/ps2td28iNG02tQXzNSdLnAWY+eQqvYuUucvsHaH1mHuemmYQarY2ss8zyeBZkO0q7Gqe4kVXDomNA/gwcs0h46xzfWxccKhFyuLuQhZpct0imJ8WfMcr+7SCM7z3M0PuemqOc1GdQU3Sji1NbR3IdRqHKJvGJTYFeXYMRVE7LkFSsPjkjoK5VMlGVGTfbcL1MhsEo5lez+O0FPBZKUacDiwaxzBKJKH0+MvbH+OGa/f863/+7S97+JVLg4Nb57/+SLivC/An9p/k0L6/IGZ+W0s88vIpdZo4mAEiLFkJrEXGEpVItHQJiMRKTJJJEVlh7+wEV7Q2GdDLwC5ZD2X7StgJaZJl5VzFoBvtZtKa7xTcytViBF6E70fUvJBGY4TvD/iz2zS/+j82cXhxFi+osaUlmA0S2oGlGUAz7bCvBy7bWUsTQq5+JUlXAidPlroJ/dDHVwpf2jzApPRVsgs7q90IY4+6N2LL9JC1QYthJNJxay5W8LwktflUancqB/BK4OoqH9/y0j43XrXIr3xgxAc/t8BK3GQQeDQ9SVu7GpxAg6/ImyF0lvRJVz6ZS5UiAVQmlapYKQOdDVfgHPBlUE84L3lSKK03ihKRdhFBL4axhcHpCzzx1IMv/+SXuttOnVs7OOwep95+dlfl6wI8ThJmZ99+8Re++tgf/tWnDvHv3il43p7QTXzNvq60SKFIlMolSpIYjJLplzA5k9vsMfNP8wNSBJVYsaHPLbAFm8hsEGd5SJBFSYOsMHeSgjzG106SBP6YwBty7HzMH326yce/MseR8zO0Gx6zNZgJElqBTVPvGbhlCm6ZJ4VqqfYOfHfhtJtjPnaP5uDxOrV0AlfeLkaB8nyMg00LlWLNFbvgTTf2+OPPztFvaNrp7JEgTOMGZdBapmPrKIHcK1GqWxV2zkt++rsHXLv7FH9w6yxHzk2xEtcZeJqmEjRSoPvSugsndZny1S87rpl9iNPnRabTrvfJM2KytsrkGwA9lycl1y1JffOsqM4B3PXu9hNBMox4wRVdvuX5d/Cy5139h17jm9+QxCtfV6o8K8Cj0KA9wV1ffXjHo48+vefAgQGdocDzQjylc4bNAJYklkS6g2yUdMC2ZWAzAfISe1uRs0B+sHLathUdmAFbiPIoZQdu55pk7J3g6dh17uiYIBjj6zG9JOR3P+Lz3k9v4fTyNEbVmZ1SzPqWKd/QSJm7kafvZVqnkkqT1DvPwe277OU4Cjl4KqAfBswEqYuTJZ0yVyLLwtpSTUqkaTc1u3eEqGBEL2wx9AX1yA209FN55aUSRWeuh1DPELwqFqYG/MhbBrztFed476e7/NFH51gaNhnqGjWtaGhBXVmC2Do2z2r0ZVHekGU51zE5G8iVSYeFKpMX4BYVuZJkjxl727QX1AiGBvqxIEoMJCFz7YQtU6ssnn1ij2zM7th5yY3HkihBec+81dSzAtxEJ0G1Fq7abT5yfNeXvFf/myVeeX1EGAUolaBtnH5Zi0gcsBLp2sWSJAOxLOnwDNTlirWCvbMgcv3NluxAmwO7Ik9kWiWn0rkqOkGrBN+LqPkhvhfSGYXc85jkz25r89GvzDFKWvi+z5wvmPYNTd/SCCwNvwB3LZAEgSRIpYlLDKXORApw33OZz6NnLXc92CCMPIKmXRdg5sc11+AuXgkjhedpXn1jjw99sc/Tp5oMa27ey9iz+DF4kcELDUpJ51un03fz4T4UK2JiXDzUCDSbp4f8u28fcOXOMR+8rcUD+6ZYHDYZKR/P09S0oC4hyPplM3tV2nToKSWQV2tWJouzyoyer8glBi/r8Qp7W+e6JRairGXOOPYOjQUTg2f44sMN/t0fCBbaj3s/+s9e8xHR6D2v2+st/o0Z3K83ZTJ49KZa9Impt7zkLDXfEBsFwqJU7L5M2sigpHEF8SnAjaqWWRZ6u3TPgF0BecoQJQLH9ei4v5WnlE1e7ul0t0WrxAFcJbkc0Tqi04+4+wnBn3y2zW0PTbHSaSHrNVp1xbRnafuGhmdp+Ja6T8rajrnrgaTmK2q+oOaTVuiZFNyGwHP6W+kxB07B6U7NJVZSfVtNnBT1M64P0oE8NpIw1GxuCy67aMjjJ2IGkcc4nfHth6TN2tlk3SxRA3KiMye7eDIbMkpcffg7Xz3kdS9c5UsP93j/59o8sK/Ncq9BR/r0fY2vBL4UBBLXwyndLnVKFBepEmnZ7wYMvr5+pXzhVXMbic1ikRTYKXPHVhAaCI0gtK5sGhODjQGDEZov3D+DlJLz8eem/uV3vfKmV914+Wd5luFBz67Bo1OBFPb3RLS/qWRIbFL2xIBMyDhXCoMxrktE5aBO+yKNXA/sjL0pAkmb/1/pyFWkiaVcoO9kiUk1t0HJxA3Ez9wMGbHYi7nzQc1n7m7xibumuNBtImo1vJZHW8OU5zp56h6p7IC6L9K7TEtOU93tC4KMvTOA6xjfj6n5IdZG3P5QwPGzdeZnBZ7MupdE0ehbYjtryuWmiuHYY9dmwatvGPDxr4X0I49hJKh5Fj92LD6ObGmVUrlfjZAVmWLzlTO1bo3z2+vBmHe+csg33bjMX3+lx6fvbnDnYy0udBoMhc/Q12hPoYXAkwJPSjxhU6llUYiSNKzahxuQ+fpgMyu/pZAlDtipNLHpa2etuUIWG6UgdwNFrU5I7IjHnzrcjMJX/t6jBy5cCQz/pwG+2jWsjIbfNV6+e3rBX0EJk2eoEiOdRSWMY1JjMDZBJdmOwxlry6repgrwrHvErhMmohpQloDt2t6cJBEpwLVO8HVErRYxGic8fRqOnVF8+AtTfPaBNhdWm+DV0G2PhpK0PEtLG+qepe5BzXPgrnluJqErM5Wlu0h/blOQmxzkvufa0w6fMTx+NADPS5d5W0rRiwoKyro0SdKa6cSNc75m95irdvTZf7rBsCZoxIIgsowVqbVnUvbO3JTMgiy0SlHolsZDRqXTBzxGoUe9Pub7Xj/mzTev8fkH+/zFFxscO1Nj/+kG4VpAHGhGWiOVm+qrAJ0+ZkyeSxeK4H/yVo6vMlCb9Hlc0uBZN5YhA3YMNknv2XNTZAQTRfd0jyf2PcGZ+eazcvQzAnxptSPCKPzx3/vAkenLNgXcdPmIG6+IkdolCmwkiUKFlApjlGNsqXL2yGZuZ5u0mhTgRTNw0fU+0WmWYsGWNJ9LajhJYtJdHhKCwE1SjZOEc8vwhS9rDp+qc8d9dU6v1jl8pglBgGpoalrR1JamNs5F8Nzg/JrnxrU5EGd3md5VCnBSzZ2C20sIPMfe7sIKOboI+4418GTVHswlCqVS4izoypwUk/U0ely1a8hlmwY8cSRmEHu0IsFYgx+7mYCqBHApRb5BQMbkMGHBZTIo65tMFFHiMfZ82vWQ73ntmJde2+X0apfb7/c5cjLg8w81OLNcIxl6GKmJfIWQ0q0UaVe+JM14Qi5bmFiAyyXNtiRL3KNNHZdMoKcgJmPuBEjccyfMEdogteGFV0fcdFnEzXvunH/ta/9///pff9fRd6tg94bh2zMC/Jf/8OPEccJHb12GZJ7dW4dcszvi5TeOuXJ3xPaZhEt3x/g2JolkCmoH9Gx5NCmgjZG59ZczN6LkMWXBpS187gpzl6SISvCChCixHDkpePyI4gv3NXjiqM9TR+t0xwHjMADPR7U9AiVoKGhoQ73kAwc6q9PIymZdXXiQyhLfV/i+TC8AW2hvL3GZRc/p/JofYU3I+RXJ2AZoLfGlRZdstgkCz0Ge2Gq/Yxh7CDQLsyFSjehHHgMtnNMRFQVjWplKBlKKUhSbDTuikIdZa1k2GMlLVD5+YjD22TITsnNzxPMvGTMMh/zTox2eOObzhXtrPH60xpETNaJYQaCwUoGQJLKUDSon8ycAXslu5Y+ZH2xy6YHJAJ2C3ThDXGPYc3HEttmYKy8JecULQq65JGTXJhDWNm3/098RDfS7/6cY/Df+5POcXVxTH//i/WI4jogin0cPSR4/lPD5e+tMeYadF0Vcc0XEa28c86rrQ8A1ttYbNp31LcBIkqhgcVtmbarBkaudcl9eSFc3gjAIaYlCy2DkGP3YKcmf3xYwiBSPPFXj0MmApb7POPFB+6A8VFvhS0FdQUNZago3zkylhUfKsbbvCZf0KIPbk/ipLAl8CHxS18SlzD1t8L04zYhG1GshF1YTvvDVFp1ewMyUQKdefFb0JZ5p+S7V6iRGMh4r5ucUr7t5xOcfGHKi02ToSSdTNHixxYsyzzr12GXi7ELKs05k/jeM1aW/4YDuJ4pEK2LPjX2IIs9ZqV5E04946TUxL7pyzFtfPuLAScmj+zyGoeKDX2hw9JznZpkMNUmosvJNrM6W3gnLqALwzAc2+WsRG4Sx2HQiQr2R4HkGgeFVN4x57Y1jrr4iYteOmCnPMt82SCuJI48oCSF8WIzlq9XKqY/Hszve+o0BXABbF6Z+dzgS10VINxneKowRLPYki9ZydMXnq49bPvKFhIWZBGsNN1we8c7XjJwfnsDClOH6ayKaNevGp1mR58DEBn81G87TGQgefUyz3JXUa5L79nl86is1RpFiFCnOnvMxQhNZDyM80BoRaLSU+EpQk5ZaCuxAWQJlXQ24Tj1fXTC3n/Vl5uBWaY+myNnb9wy+nxVoJTl7+36EUiFffljx8a+1UL52dltFfz8zg2deeJJ3pitGI4833zLkE/d0+eDtU/TjGs1Uh3uZDo+ypIzNu4VE1gybl6HJktYvAdykox20Y3JPK2Kt0XHigK4SlHKD9GdqMbfsjbl5b4QVY97+ygGjyKXQP/mVgPv3+dQDwVJX8egTPt2BTFWS2PAMF0kAl8Zv1gzXPy9ifjpxjS+J5Z2vGXL95RHWwMJMwux0sRraRJKEmshIjFVEsWA85jo9Nf+7An7kG2LwTmdAu11vf/AvPrZ368xQHT9rMMYdMEcZbqkxFsbWcn7Ncn7VLTMHTlg+9eW201aJZWrGcNN1Ia26qwleJ7YnL6vUdVjrKx543KfbUUgt3UwUqx0zCe027pEapEZKiSeFA7O0BNLgSwcEX4Gvihl9DuSiaHjQrhEgazwug9sxfFpW62UMnpTuMYGOsDbk9JJPOK4RTEn8NO2t0qq8ShYz6+ihSK8XIHcSL4w8ZlqKi+ZDfDFiGAcMY0FduyGYWQ1JltBSslzeKvO/5f5GGv8YUyRZjEl7JgtpFMdJmjdQ6f5HMVGcoCKXS9AqQcqYHfMmXTEMV+4cEdohUhs6HcEDj2vWBhKVK5ZqUF0509bVgzdrlhddFzE1Y5wTiKCeJpscAShM4pwVa2WBk/QfNMZy9LRQumv2Pv9Fb2uPBt1urVHt3VwHcJGcp7+m3n3jJftf+e4ffIp3/kKLc2s1SLUXubQoLP0MuDGWTrYUSUt3zXL2y83q7264XlBZ3qwQmGzLBdKaU6GKIEfK1MrKQJ2mnSXpxq0UQz5VAW5Pu456t/UeObhdW5fCT8Hta/ISU8fgKYtrg59mRz0vIggiTi4ZPvD5JmgfT4oiwMzliVjH4OVMXzYk1IHNDdYJI493vW7IX9855KnzLfqJRyN2m9K6KkBbdOKoLCdQCvayY5nXgMhSgVd2N3ktjNYKL3HzUrwU6EoWSTNXN54+FyYdHJSghUXYhPmG4ZtfYkAkReuiyPbP2OCcl2uMjMJEmiwuS2JBnH32zJSoICXbvcLQD2P++X8d87wrTr7yPyycencUJ//i6zJ4f/FDCKQ/XXuMUWOEpJEWJGgHMp5FVDIRSGBJvBKwc7O7rNEydssAXg1ehJR5C5oS4AmXVg6Eqxb0pHutUyWlU4bLC4k0pTkopDuzFV31BcBlLlsC3+Ytbb5vSoNzYryUvX0dIWXI8XOCxW4NoTWBpCJPZPlrlU53WTpUgJc6HWHsMdces2vLkP3nxgwTzSiBIBF4icVLByapmNxZKlLoqtKpkB1yZ99mddeiJI0MOjEkSqJ0tn25SovVEqQy6UphCms2BbnI/jYm334mc73yeEoU57/s1U++Wy6sywYQlUs33Hez6SYCCVIYEJbOyHD3Y8f4jffd6ifJ+otpHcDf+6mDIAS95S4X1hp0wzrIAKSXs+j6PO3khfr15EjlU7tlNfsnhXBTaEXmuYIW4AmLJ1LQphIge56/l5J9UQpK3mDrK+HAXgG3dI9+BvQs+EzBnXX/aJNLFE87fer7ETERn76nzvnFOt6Uwi/XcJQdFCYOVyV1LSaCQMVo7CbYvvHFfe55bEQ3rjHQmnpsCNN0upJFQVRWcObyEtlfygJNkduSzjpMZ6pYSJT7m9oIYiXQiUx3sXO1PHEK9CKZZvIEm5SmlHhLn8sC3Jm1u1GB1jrI28mflngSShdvtlpJSAR1L+Tfvv0CndGQdnNtQ8xVAP7uP/gos+36S379T79y474nI4wFGi6IQ+h8KmlWYfb/5pYLkixZINw8FZEmEjTkwYVKU8ZuvkmhcVUGbOn2k89GIZSBnc9BUbh+xI0AngWcme7WmSyxqd6u1pL7XoTvhZzrGB46VAfto1N5oksFSlm2T0wg3LlJpaq7vJVP5p54FHnccOmYuekhndUGg1jRUODF7ruoxM2WUVEZ4DiQ539ITlRqirRkNa0PUobECDwjXMOKMiRKEKcgLxevZeUQMgN5CdRZyYTApCAnLeEoJmYVi/6zSJbJt0tYofT9pLQY487dj/6TECk64G2+kdabX/Jj3/uKu2Xr+zYG+CASJP3km+taXW98D4KgJA8EupzFYmOl8nWBnSqUVIykDFf8mwU4bM7gkyWcOquNSGvAs1JP11ycdao4WaLy7pUC2FnzrWPvVHNrcr2dWYKOsQtwe3l1YoQg4tavBNzzRAsZaHwp3PztvIKwaKMrKv4ms5kir7Y0+QxARWIUw5HHzVcPedNLe/zRrS3CJKCfSGqJZZzOVtflFSMdjycyuZL/qWdicjBaph3vIgd3oiRKGcfoUqajJbId70wJ4CVgy2oZRSFT0stZFCf/bwCZ9AIpVgcpLYlUxIlmHPpIxgQteX0QjL8Za+4u/3c5wA8ePsX8TPN1/+1Pv/TdZxf7+LWaq1wToEVReKNKH/J/Zh5L+VfLmb08oUMBhuICSkFeGm2QMbfbgiR7Tcrg5G1YFRZPu2E8VQW3G6cwwdxpz6aftrd5Oms4iEv3iJCIv7i9TWIDVJ69LAeYRV9j5mxUNDgT7XrGNYi42X6KJNEIPN75qgF/+ukxayZimNQYJgIvJmdx12wi8qIzZxdO1h7JkjUpSiAXJDqdT6JSkGuLMk6uuAlkroLRZY9lXppcWJTl6s6ijDnbSWOdDn82Jn8m3IiiHEBW/l4aC+AxWBkQYL57asu33jHovvbzjfZFVYAPxjHeMLy00x3s6ff6zAQ+EpvLg0rKufRhvyGMlwtzyh86Y/L0C1Sbh6vPJzVnBvrybA+lRKHF04q7yrCbFNhaicJJye1A13HvGpNtytxFgKlL7B14IQ8dkhw8U8MqDyUlvjTVFS61CXOHcFKApvdqO1+R9EkSRRR77NkWcdUlfb52oE6kfIaxoCbBSyw6Fun5Sbtw4lSHI51cqPxJUWJxUZJGWctY5q64epdsvJ5KpV8B7qwWyKZlAhmTk68eGbjzEotJJidL6n2D5CgKxS7KUqwE+CQeopqDPZjRpdaGn8/+2xzgB05eoN2scWKxR2wsMwp0bj9VGXeSib+xDygoxceVwvmyDi8v6yqv+S5st0KyCNc9LwpwuyBT5N3iOge3rAC8PPzHdduTAzvPVubMneBrl9hxXUERloi/vL3B8nIdEWjnu5cvwnWEULq6y00ApsqqFW/auE2b5mcl73h1j4cOtRknNQbKp544LZ6vqpIU3NlaYVJPPCvMBZCVsmSbzaqZmErl7hJlshXJ5s8dkGVFi4v0ezvgyXUMXtSPVytDczx8AwDKjcISEWb/XraS+HpIM7iAJ46jRFFcmAP853/7Y0gpWVkdMNPQ1D3HSMXVWACydK6+zgerLknlf2O9TCn+1iRIislLRVNseeZgDvCcxTO5IlG6CnBfpwOAvGzrwDTDqS1enoo36fOkctfKde48dRw+cluLsfRRUqXZy+qFOJnBfCbTKXdSSm6KSRk8TjRBonnHa0f8yWcHPHakTqQ8BlLiJyZ1jwQysaXjY117mSjZtinI7cS+RWUmTwzo3EJ0E39VWhKgElsM60wn0oqsUVlAPKHHq0xbADyffTjB3t9YLLe+0SK7kJS0WNtg2HkC4qMu7V8G+PHjp9m5c1vjn//Uf9/9wKOHiKTF1+tBXTkz38AtA292vVbbnYoLZzKlvV6iiBw4k+OQZYmxsyAzm9qkdbbJa6q91QS4s/S9lzUmGzczJG8Ry3o64/QeobyQg6c1vdAHpVN5YifKYycv3CrCqwONJrzwtBunSPxomp5g7/YRjx0MSUzA0PjUElezrVMNroTbyNW5XBmZGAq/Kzvp5QpPVw+j88Gm7j1lIJEO8CrdnUKaYkJANl0rybr7cwOgCC7zwHPifE8CvNDnXw/lGwSopRhuFEpGkU9rZu/uS2/4t43VlV8azMxudQA/ffYcnU7ntc+/fP4nD+97nEQLty+aKf/z5aaEb4y9Jy+OyZVA4Gz1MhAKYIsKg8s8yCwP1cxATlEjrUqgVtVdjD1F6oU7cDsAF0OBvLI8KbO3Svs6/ZCVnuG//VWL5WENEXhOnkhbWVWKwTnPftoq0wSyOTE5gztHJY417Ybmx761x5cearM89gmlZiglfmlDr4ofXq6nF4asjNZiUnAbLHLCWREpg9s8SM/ArqRIGdxJoiR3UchlSqHDi3bC8uqfDSrKnz8DRp4Z3tXjlr+XlztAFAm21Xf95KkTB++Oo+FfQ8rgT+/fTy3wuXD+FK1agsEjiqsTiOy6f/jrfygEG0obJtitYHJRgLzEhmVpknXI5MCWAqmK8WOqBGotJTqVJDoHeKa5TR5Uetrk4PZ0Vn9RZW9PRfh+yIdv93jycB2kh5SSICuNLVmb+R7x6Zd8xmpCqCZ8Su1mJmVyt8mTxzV7BrzlpV3+5LM1jA4YSp9Aijzpo6QgqgR0VSYXZSYvlS6Xa2KMAmXdqmCscODOpoQZSPL5KaIAeOnRgVukGc1Jd6zqoky+/kZu5XEieX15qd69000YizN0+z5x7DaG0ABTrRpBzafd9GnUJHE6sD5JSpZSqYzXilIl+7NSVLY8iyrQhV03UKbiGeeBpSjYPGfIrwdwWQA8T/RkALduTnYqRTxVuCVeaThQobkde3vaTa1a7Rg++eUWS50Aaql7IkrB2DNIlPL3L9PRhrZdZhkaiUkyN0Uz01Z8yysHfOKeEcv9gFBpholM7UmRujeiaMaWeRI8B3ZesGTB5GyedbwLdOasqPS5TF9LNxU4O+5lkAspSt332RDPVJpU9LiYkCtiY4ALu2HiZx24S1ng2AiiSNIfgR95RMYnTtWHfuTxA8zOzlx8770P/PjBI6fRWiGM+zCJzGY5VyeJZs0KlWWjIO380cKGsgSx0dBMse51xuRKkM/NyzvKS7O/yx0ubrg7VXBnOxtkzK1KzL2OwbNxE8XICa1c5vLoMcGB4zUMAULqvDm3qB4sxw+i5GoUZ7Jci1IwuSjJE5E7GXm7WaLBaq7YFbJn64jl/XVs4jsWT5xM0SUXp2DPcqFXKrizMlpwr/OuqxQ0spgbWY5tlHEXjZGk2js7LwUZ5eA2Ip2lkmlyMSFVyseljBtbIH5iNk51xSsmomU1NVEikFIRj86ybWHPj++96pZHVi4cOKaxhiQKtyTGvO7s+SXazZq7wrRAGIs0omRpWReqTEiWjW6TdmIZ4BmrlVPZWVKkKk9EyZkQpWCzALRjcNJRwGUfvHxPt7RWZXCXQJ7uV++lpaEZe6v0tdYRSkV8+mstDi7VwS/kiVeyLtdLrmdf4arEUTRlF6PvCi0ehppL5kPeePOA+59qgPGIE6fFvSTN7iZVqVQwZ2HLZYGnG6smCrBkz2X6XKariszu7tgn6YohRcrqJlthbYmobOkiL+c3LOtW80oCSDzDcZoYQVGasWNMtv24w8N4uIwx5nWDYbQljOwx7Wm3fNd9QbPmRoMZASb9UG6ZssUXL2lyNmgXroJc5GAv2Hs9qLPXkwFaBmixAbBzNlei1IRbAnc6n7DYtoP1wNbFgKB8xJs2KchjJ09URL0R8rWnFX/95SbDkQ8NjZYCT1SlyeTnL3/XDU8cVPX3hGVY9sWjWDPV0rz1FSM+e8+A+572sU2PYRLgC/ILTeV/v9DBVS/LgbzsSbjgM73AlGPzRDo9bkqsnQX1Jg0upREl/S1KgW5hHmTPIU18MWk9F1J1o+OTEQGlY1UeIJQk1VHdUagYjCVh5ObKaGyCSWKUtDRqCiGzjYScvjLGYqXIs175JNH0wz0Ti6/3LEvvrZMo1YmmRXApctDk8/JUafcGJdLalALcBcizslmL1sUIZZ1uwqRVFeheztburpQLMH0/JAoTPvvVBk+daIDnIaRKQZVleW31xJY1+OT3z1bAjDWxJVYqDSvN+lpLdmEYaq7cGfP6F/d59FidceyTSI+hUfgJE5+l2FamyuCiSkxZ4afKAGQwSqAyMpMCq1yfS6bH8xVVgjSlWYamWDXysW8ChJlYvTcgvGda6apSrsTepSnFxZ5AgsFYMBgZRuOI0ThGf/JTn0EpSb/fx/dc10y2I3FiHJOb9INLW10uKDF5/lD6tGXnZDJzWWHuMmtngWUlwCx2ICikSckqzBk7A3gxOTWXKClzO8a2OVPr/LF47qXBpVYRgR/yxHHB5+9pMBj60PSQIqscpGQPbpDFLH3P0mWf16K4AyioDpKfSPiUCrDCyKPVCnn9LWM+ceeIR48EoH1GRuKnWlwZt8luIRNAJEAKPJIy2AtgW+tWvly6SMfm2aqSBfnGOrBLUyTahCm7Kem5NAWzV2Mr9/fXAbwEclEGdglnlaC8vDNIvr8qIDRP73uU0ycPkSQJ+sLiEgKBMQlauxlvMpHEqe1jBCTpB851d8bkEyeujPFKAFGKmAu5Uv3ioixH8qByksGd3i5nM5VKKwzTikLXzpU+1+X54BPgTu9eNoU2LfDXKnZ3HeF5EbFNuPXuOnc9UYeaBukamr1SCW+lNLZ8L794BnaqTmMV+W7kmaOSGFkB+njk8fJrBrzxJQOePF4jjj2sUAyFxkvIP5NIChYvPsLGTF4eYq9UKgGkY3P32m0Fmenw3O/PGD1bbTMilOuJK6tNyQC/nsXthqZc2dCYHLmR2GyWuNvhLU7lymDQxcRDjLXorfM+UgrCMKY3SNxWy5HL3Sa5lnQWlJtKZFOAV02odfJkgrUzoK8DeKmtq7yzQAXYFalSTtOX7umOBQXQS3ddbIKaAdorgTpzTpxj4h6VivC9iEeOST5yewvwQXoIofIuIpWmrctZ15y1yytZHo2UTmHJaS2Yu6TBrXDjp1U6+iHfJ15jreadrxryha+OeOCwmyQQGcUgyUqaU9AlmR1XKpOYoCJrrWPxMtAdsacXocXIdD+fErjyzLJN/5YtxU2ZJMlH7WUXfLV9r6grKeK1ZyQCgNI04kqRWAJRAlGE2ys0tmjPbamid2x2MzYGQ8M5oDcsdKDNzocba4I1znqqWIS2rOjEumWn8gVK7kJ16SoBO72LkuedATyfk1cGedqaVmw2ZVOwZwPwC3BXWLv0mDXWZlJFqRjPi4mSmDvuq/P4oTp4HkgXXPrClibHlgOr6iZOVfKuQsuWnuQNEJWNvErBZuKm9bpSWs049Lh6z4iX3+RYfJg4Fh8Ln5EBnYgi8Esyu9BlEguJ4j6AI6qCyXNASbDKIq1AWVz20wqEFVgB0opCqpScr4r2Fpl8KQG+wt5iHQluCPAyIZR2ua6MXk4gjC39Ycy4S6rLQO/ZMcDTsLgCy2uF6yGFs4pyEFuwQiDSo2Ar6UxZ+TgFe02krNdJk6pjUt0jZqL+RJDvvZPvXpw131YaHoqtS5SaAHdpKH7unqgEpUsATyWKryMOnhW8/7MtxpHnOpuka0vLWtNUeZfgsnNSsYs2WHcnGDw/vhTp+moR1qQW1zQDyfe+fsCtdzV5+rS7+BKjGCTKVRkmafIH4fR3ko7lmFhJMnIqA1zmZoKThNa6YNJKd46sFA7gqTUnRInJTeGIVSUo+SSscql02W16tvR4LlXKMsUWO0Nknz2KLWeWXfOOkhZ915lv2Rz1DvzMePlhknGdKHbp+eyqkpI830/GMvnSMcFPosTiFCe6+DKi+HK5WyKqr3OQF2w9WWQlS7UfKmfvErBlFlxWwZ3N9iv0dvpcmkJ7p8FlaGM+dnuTRw7WXbuP0CjhMpc6rcEuNxeXZQqlk/qst4nkWbHVh3NRrDEO2BWQS4zRhCOPGy4b8q2v6vNbf+YzNBqMJhKSoXExgjSpBk8ymeDA7s5KJlFI9UiaQbTue1nlVhVlwabet7UF+DNwS5uSka2uYplkKUs3UwZ8mQNyyVJEmeVDNzmplonEI7gVxNOC2SnNzNyA7/m2K3/mmufv+mEdds5NnzsfvmH/kzF7tiUEgU1LdbLyRJeVsukfrkqT4lYJKil94MrVKjaQJGUNni51ZeBU6sBtRXvnQC9JElXS3irf6aG0EZWyE5IkqxRMcnB7OuLAGcmHvtTAzV9x7J137md/X5RkkyjVtJeIu8zsCFGSJRO615RrQ4q5gjad0JuYdKhp4nbSiBONTTTf/uoBH7+jwb5THsgQKySjxEOT1otkxzrrOE+yxE/G3yXpZN1ri5uNlX02mQJJWpDWyZYMxNKm8ZlJ/XHj5I1Z555QFNdVzIYqoCdfb4S3csCZ/TfZlJGZlmb7JoMy5g1nDnWn9bZpg45gqa3S4pWsjkFgS+WOdgLhk+UCZUuQ8hVZCh6pgHwyqVPVb5UtptNkQnkfmUKDF1sFZiyuJsDtJrKa9NHZgUoZVOZ3qxglY1TK4ImK+dTdTfYdLLS3FNJ533kHzXqGKmcwi9eF7GPypFHS36WTlnvipYlU2ghXmyKLFH4Yaa68dMybX9Ln8IcCwkSB0CRCMxQCnaT2HVmgmzkqgjJc8hA41UvWCpRNGR0nTXI2z+WqLVL8Aox0wDeisBDLUjRnb8M66TJpSkw+n2Tydc9LIEfA4kqdg8frtFdr6OmWRzTWTLc1SlWjfVn6K1aU/qUNbtUPJ/L3si9Yec1EIqD8KCcBXrB29jpj7QzsGXPnQFdlJi90t8qCSFmSJrIYmq9UgudFHDmr+O8fazOSHtkEraJrPl1ByjXQZUlSudKf+VbsR5QxtyVrYStS9mUNLir1KYnRxIlHkMT8i7f1+as7Ghw+o0FFqVTxGAqByuRJqsfzYHMC5Jk3bwGdXXDpe9KmEgWbsnbmiZsKm9v07xjp/pvKyjxpLGSHqszmZQw92zF8BvVgcU5KfyCZ6TlLTXt5n6JMO0HSq11WrZtn/YPl85prvQlpkv73k8CeBHm+adMEa2eJlCq4TSFRZJXBdcXfznR2WX+X7tKxuKdDuqHhjz7R5vSFAJROrUGZyhNb8b3z52zMSpP7TD7DuaokMbI9JivbL9pscI+sTsGSiiTWbF8Y80Nv6fEr7/fpRG7qkbWSsVHONkyyz2FdUiMXJgXIi/93P1HpVWgtOXOrLLOZBaDSFgxuS+fOOr29kfZeb6VOSJUN+OHrxjLpzbjaMeLYBZthZNHLnZjVbsIoTKjXVEUXP/sfKC29YqPH9Vdr1RPdmLkzYBfNxbYUbNo8sMwaXzP/O2dybVJGN7k0cXLElKRKxthx/qhVhA4iPnprwB/+ZZux8Zw8ESqXJ3lT8YQlVtHd+XcX647VOnCXRGVhFZZBn6XsbbFTnSml8I3bCrymY37k7X0OHPd576ecFgdFIiQj43o3ZULO4EUBVnZyC6O3bFc6UBeSxdqUzUXhZGTnSGR7n5aOjc0zmUW5rJnAQcHg6y3DyYVm3VEUxY8FBdHUapbZKcPMTIJe7UZ0+jFhZGnUijJVNmKfDZaQMqDLH64M5LKrsKEsycFi1+nuIshMt+gubxmoimInpUxJqmRgLjG5LKoDc92dP7pZgyur8FdfarA6zsDtAO5Jp721qMqTyqqT2WWl4yQ2OG6TAVK57KFS1WeKktByp09eJy4lyiiM0cSJZspPeNtrBnz87gbLPQUyAqOIcHp8srqwCpZnZnKXByqSQll9ikqDTVIWl2muJGdvW12lszS9SANtWwJztTmjKmmfiWTFBPCFSP++hJoH0y3LXNuiN816KKtZbCg8T1YCwmdk7ywjuQF7b6ixsuCr1J5WZcAiaKtsX1eu8cgDy3KDQTWozIbTFOBOKgFmFmRm+9zoEnt7jZhbv1zjvsfrmJL2dk0NmTyp1pvkrVlsfDGXrfCNSTxlz5JVWN4Gu9wMYctBp5UoW/jiceKhTcyLrgl50wsHfODTPqgQhMQKwdholBBuC5Is0CwhZFKu5KUY1pVEZMyuZCGjrBRuE2DrLm5jq3tr2gzoJUlqU5kkhEj1enoUym2LmW+ffpwcW7Z0EPPXVF8LMBHEEVxYcRe3nptWSKO4MKWwyKJz51kAPgno/Epk4uRmwF7H3qWukxJgRGX2iZ1wT0rbdJcALpVFpyPGpEwdE2lTXV2SJJljIksSRTr3JPAiDp+QvP/WFud6vtvvWrpB70pQ7NiwwepTvYsK4CfZe/JWSfSUmH1ys67KJrqlOnEls0e3/cnmZsL3vanP3Y8HHD4vQUSAwiAZCVnaRMqdgwzUonIVlqtFs6SeyHW4lG4zqpzNhXsuhPPLrRXp8xTUNtPhlmrVqM0BLaxDspsjY0nLxiHLdNpMIdgczLZ8fMvWq7UMRwmLqwlGGvT2hZCajDjdsgzGrmClWvO9XqZsBGxKJx2KhEdVc29sr1Uq8UqMPcnc60Cez8iefJ7k2jtP6GTjgFWMkgk6tQV9P2KcGH7/w23ueqjuiuPTSbpSSte1I4r5K3kzQfb5JletCSYvn4fycVyfwSxci2KP93L5bLmM1rWbmcxRSQyx1KhY8/Lnh/zwO7v8wu/7jGPpGlGNJE5dFWlE6bPZFERlz81lACl9PvdalGKDtLs+TQKZlMUtDshS2LR5QuTHK8OKnYxbSgSRkXROFpRS+yWmLpN5tf0P4sTQ6cVcWImJiNFLa7DaFYxDd7UoWUSjz7SossEHZOLDZlq0zNgbSpNnY+/S/vMuVT8hT6TN33PbZpuSRCnfM/ZO0oGScc7gnh9z+wMeH7+rwTj0oK5z7Z2zdx7Yrs9cTtpfZf3t7hs3Ha9LXOSp6DK4waqU0U21VjwxEmmcVMmAHseaeiPmbS8fcttdQ77wgHK2IRKEJBKaIQXpkHnjJbliZeaxlFL4jteLuhTpXlsBKv1+2eeWqfyw0ubtlaakszNGX5f1ncBPmSRz0rDZa1Gi8AzghdQLPMl0WzM3pdDnVzRrq4r+SFAPCrdjo7KASXA/2wfMbKl8p1/KkqRUqzwBbHeR2bQX01YtQlVMWFKipL3zSagmf56zdnZXBbh1Cm7fi1jrW269u8HTZ2tOmghXEisy7S0oTZCy68Cdr0L5aiZKQH8WfZKfGPIUeaV8tixVJhI/k/XiUiqkSZBGE401l2+JeNNL+9y3z6cTpulX4/R4iCLbB0KSeuOVMtribFtccie/IKVzW4pmiIzNU6mSM3haQy5sythFG5vNXZUUr7JEEjaTS2kuXUz+LPuPquAsVkP33zfqivkpzcKMRmsl3RTW1K3IovvJ8Y1l3V0+waxj6/WMXY2iN3JNyttyVxk8A7NUmQ9eBJcyB3AJ5HIioMwSOWUXRbpOeUPC//h0nT/8WAsrtPO9K+xNob3lBp974jhkq1imGIsDtzF7V2osmAC1LZq9J1vZTJa2NwaTSIx0vriShijxkMrwI28dcOiMxx9+XBPFBcgNgrGQKJMNkshosQTyHNSCbMuadPJb+p3SlH7O5mlmM9X4Nj2XtgT07CIoZqakl1WWEMoapm3K9OlHKjssWTBqq0c4Z3CTFlEZa4kTSxyDrvmWqGZp1h1ookRgk3UXyYaArTJ3dVzBZEC5DtiyDPjS6LF8NFgB6HyiqVjvmMgM3GpSnlT3rFfp3jNOg0d4fsShc5KP39Gk3/egrtazd17zXaw65QRP/t1Z/zwLkL4eh5c2wyjJgUyLF3NLjMnqPUpAz7ZNT/coTRKDlJooSmg1Y976igGf/UqdQ2fT9KsbUE0iBMPyJ83AbQuw2xzUaVsdpRrxTJJIUVyY+XtUXJIK0KVNE0AF0MnsRFtl90lWd6W3hZ9esVjINih2wI6imP4wpjGK0Ts2w7BpUOGIpbUmqz2Rb9a5jrUziUEZ5M8O7HIiJw8ysRuCPdPi2TDHcnBZTuxIUR7MnjknprLdhizJEilTxyRlcq1jxpHhtnubfOnhtFpQeg7gE+yd2ZZKiKq0yleyalFRhptvNPuWM3gZ6KW7MWn2MK/Rd1uRON1tCpliJImQqERihCIaa15zfchrXjTk5Gc8xsbp8LQSihjNWDi5IU0aQgrhlgtR7D6tKECUXZAq6w/IUvyZ7iZzTRyopUxrx1M8FA5LAfRMv0+6URVyzGIFW2AJIdJFx5asRcFwnHD6QsKOriRoa/SVl29aO3Vq8bMnTo3/SW8UMBz7Bagl+VD6HNzPBOAJTV3xviuJkWLUV0WWlEZ/rWPtHOim0OCl3Qcm9bfK0+9J6XmMlK5TR/oxdz7g86vvmyKxunBOpEII6fYBKo2NrjJ4OX7YmL2/gSRmgeyMAdfJFFuRK4Zs6lVajCU20OTSeePCaOLY4PsJP/X9XZ4+pbnzfonxRQpZ9wUioxhWlntbkiUbaPLcC0+Tb9nnlTZl8IK5s0A0Y/MyZnKgZx0/eda7ALotXQDZxCz3Md3AfpkWVkmyuiaJVhDFCbU2GL/+2ebsrjX14JnZ/qe+snz4sUPeD/c6iatJEaLSnZLu4lzUXpQLoMqlq6rQqpX3Mhas1JGk8kOVakny3cNs9b3K3RQFVc8A7rJU0ZWEjuu1PLUi+NX3T3H3w023KY907WhIDy0FdQmBJN3kqtpcvP6exi/5kJzqMCKVtntJNdEwLSaOVcp4RalCtSSgHJuUSaTccLFutwUL83Mxgbbc95jP2lBOLDUynyJeVBym7LiBzl1vdm50E4UDV8mpFDZjcX2L/JrKq1U3ZIbi3yxnzHOcSjcHvlGT7N6e8NqbI6686Nj3NXngad1d8TEIPBFRnxrTbhi0lnn0XJEdFSkxkc3LTgSlPrzSAJqKg1JmdVlixpy110sTOaG5cxbf6K7KgWVaCps+T/yE939iir/+chNbUyCUQ6fQjr1lob2L/sZn6ZjPV6tMm2x4ztd54HbidcbkBatXu+0nO3yMtBUtbq0palSEQhpDIjRymPC2Vw556ojHu9+jCYO4ALgQWOMxTmtnRCpPSJwwtmT14e5TZjJElSRMBk6byZa0PJdMtuT6usCFFSLHQvZz10Fm0+fFKiBIM6bG1ZgjnfNTPlYiJYfAh1ZNMtes0W66Nja9c1OxTtbSccMVP7vStWKrr2VJplQstIl51Tm7bJAoSYEt1oG8vFVG5qaY1PcuNkTKGVwmJSelDO4EWao9+cL9Ae/7TJNRkk7BF5k16DYx9YWtaO8NU/NloEPleFXkiphA+YYqxSEk857XZTSx60porSxlNmXJWREqHdKUFmdJQ2I0gWf4/jf2+eqjPl942NmFmTeOFBirGRvHhnkFlZmQKaUEUOZ/56Avg1ziiq6yRvWS5Mh88ezcF0BPL4C09NZmRGmy8l53QIUsFbpYXL+nLArDEgPdgeTUBZ9GT7qZ59vm3e5pSeI+mO+lY4dlIU1EroGzwqcJwJbYWawDf/F7ZbuwyFamAC+P5C2DWxS7CaiKDi+De0Ki5BuXZvcYpSMGY/ilP57iyOkAq4vdkqvau9jcasPEDutBXIotCyBneH4WQV6Z/ZExe0mPmw31+PraFCPTikNZZXGRGITQyNBwyfaIn/2BDl/99wG9UfplTP4hSdCMcpmwHuQOuAWos4tTpSycAdvmIE6tQ1l0hGWPIk0klr3xPBAVILPG5hQ7ZKDPwJ3OznQXssNVklhGYZobQLsZP9air967GaUUvV6f8xeWEEKWWsImluiJ1rHq6Nwqk09agZPAzuZIF05K4Z5kWUuZbhnnfPASsFPQ58mbSjKntDtvugW11hFxAr/z0RYP7685z1tmzF04J54oD9Is7MHKipZ9zwnmdm9k5aHiGfl6HZNPOCdFA0TqUuRgtuurDYVj8DzozBg9kRiR3hPlpIox3HBFxI99W4ff+PA0YSKBOJUqTl8kKMamcC3WMbkT6ChRynIKt0GvLbN51rpWel+sY+zyo13P5hnwyWRPCdxpeQDW7UaBAGK3JeJgkICapilbbvDPa17zeur1BocOPsWXb/8cFj9P2edBoSgAX2hi1gF5HZNXhqJTsHT5+cTg9PIuXtnOYVXmzp4nhReuyttNV5lbqxhdS/jivQHv/WiLztBzHmDqeSNcDXzG3lpU2VtMXOSVzFsJ3FlQVsBX5K/FJKAnWHsd3itAt5QTQAVrp1NhM0mSj122GOFsxEQqpDWuXiVWtGuGH3z7gAefDLjtawoaosilA0hBbCSjfLUpQG5xGtkNpC2ynJkskSZl81yikBdblRm9LE3KIM9wZEkn02a636Tl2xslpCqroZM0/UHIS17+PK679lr6/T7a4rJ3sZFEEfhB2R2ZcDwmqvsmU+/PJEuK6H6D55PBpTAVkLv0uKFqExbMLVVhC8pUb2dVglLGSB2z/5jmv3+kzaFl300GSv1u9yhz9l7XTDwZVDLB3JSAnYGdnOg2vmXnZqIWhQndXVQZluYXTnrkdoNCLGvyTWVFJlWERUiNjCx7ZmP+xTt6HDunOXhaYHVZYAmQXg5yUQK5NSWAScC4sSIqHa+d+cnuArB5GUfG6llLm80NBpFfW7J0MYhM1pTZPZNHeXIpK/6aKApLd9WrB5p6zSOJPXQYgRfDcASDsaVWq3asywkWz36WMbQS1ddVLV4NHosg0yLK8kSsZ+3qeyUWz4qqhCkxeanQShbSxA9iznUEv/SeNh+/vYH1VJGOT6XJRuxd1H2vT8mXwV1O6lQkt5gA+QSNV7hnAuxUwP5MvngG6HIAmnX+yLyizz1Pg8/EEGPwpHNVOmPJT/664vyagKDM5AI3Y0UyEimQsWlgWiSBHLjdF7bSuo0jchC7hvVygJkzenaN51jZCOi2xPqFTEGIdLp5aWlIs6cWh6VaIKnXFIEniX2J9DxFrRacCwL1+a2bZ9L0dmnGX9mbzlk1HWwpSz/foNIv863VhG9dNC2U60iqW0Zv6HOXKgbL6fiyayKlA7enY0IMn7qnzhfvb6S1JpklKFMGz9ibUjNxKRVffpxk7pIWz0AsJoCcA34jLTIhV9bNKXS5uyJwK7WRZQ5KWY8nJiulLaX2rcRYlb7nnsexRljJa1844s0vHuCL2DUxmhhscbfWEBsYGRgbQWQgMoLIQmwEcSKI04GXsXHPE+McxiQdqRbbbHvEiZ+V3zM23W15civD8s+zn9nSPX2dkNadWMZhTK0+RWzE57UfnLNCon7zN3+Tf/Kml6wFHmtaRt816F3A06qSzCm61YsZgEVlX5ntq4macotZuVFB5heNyctdq9nJ7PdM6UKYfJ5VBzppUsgUN+ckkYZP3FXn//8HUxw9F6RNDEVCB6kRUhBIqEk3yF4L0q35yhd2ebhQFmQXg/nzKbcCpJTk26qI6pB+N6lLVhM3uUM1cS8HtGVrdTJYz1ZN0gH0VP/78ipaKTs1ltl2wpWXxpy8oDh4QruET341Zs+dpWjSK3W9S1S9wgvPvCy7in930vuv+P/5++nviuq/Uy4Cr3CIKByn4Shix0U7aTTa/+dT+w7e+4qXv9Tt0dOuD9BezHRzxEo9ITZZbe9Ec0HZQSnZeusckZJTUpyQ0uuyPSgKaVJ+nluDIg0iyzJFJrmLImXRnZPVnHhewtElyXs/1uTpwwG0VC5JXGJHr2fvSdBkz2G9PCkFm3luTVQDSrEhkxcuyobBJQI3jL7E7iUXReZViNX0vRRgjExliQtARcbsQqbujpMqwloSo4nGliv2RHz/23rc/7jPscXSUpUHnWCNJpYi3RgiXVEkWJPZhU6X2yx1b1KLT5ZGT5jCCsySQWU3RYhyYGpLnrnIDJ7CkUmzTValnnjeFCHoDxMWVyNmVsaMx6VNqHbs2ovn18HGnDxxgnGUpYBLI9Fyhq4CfF1GUk6AeQLYVUCTg3kduEXB6u51VkDliqfc61SaiPSesvdKT/Bbf9rmjodrRZVglrHMwC2d9CzXnJR7LJUos+B6W3Ad8CfJbR3VPINCsSUGm6wqtGX5kqa6jdO3Jp0NaEUJ/KVMpxt9bdMKPOt0eAp0gcIIQzIwvPL6Mf/qXV3+0x9Pszos3JS0uDsFvCbOWLjM3NJRp5UitQXTjntZfM4cnCWdbVKwm9LKZKB0ARSui4CimCureyFttJBFGxzCorVm166LuOH6a+kPBtk1Cs2prUzNXX3b/Y+t/urx8zWGI1IGL7YEKQ+0zGf+Ze+VJ0htqLGLem2dy45nkB4VWZKkTF6AuyxNVOqcZNlKpWJGwvL7H2vyno+26EWe+wIZc6euiRBuzHDWrZO5JqoMXNZnLytMnYG5HEjm3THfEL4rTF5tWZvwxcu/U0n4TOyvk71X7sS3stTe5jp/jC324Gxp+OG39/iRt/Wom9hNkzeZJo9K2txp8rF1ujy0qS5PH5OyFk9KOnxDXV38PN+dwRZD7Cv3TGMnFP924hI72X8nhCDwJFddOsV8s/urt9x4xW0XX7QVSKshf+k//1cSgmh5dXRZHCffolVCzSfd3tqme0Zm4CbXyrJUIOVqtQvv24GxVFNSbmCQ5f+2/LxULVgpfbV5QCkqzkkpU6li8AyPH/L5z++b4sSFIE3FZ5rbSx0UhRSCmiTdxDXT3YX21qUkV3nApns+WSwl8vcrM8xFNnk11d6y2Hplnd4uF7aJYvXMfreivfP/ppRfyFaYSmKtvFelY3GY2BQqvWpqvmHTTMLdT3icX5RuqnDFDspey4rOLttENv2VbDhcobJE2pg8KcfKq5ioXOTFxVyscOUZ4eW6rGwT4Fog2bapyUybP33kobvvedWr31BIFIDveMe34PsBjz78NY4dfhhPa7dRagncVQnBhAwptHg2+Dx/DelyUnjdYkJ3FzrelDR4pr1NiclTvzsHvwsslZfw2BGfH/vVGR4/GGA9WciSnMFlyRYsak4md2rYyBrcSKZM9luW5uqulyvfCI1PnvwN7ULXsSJTXWvSYTyZZHHLv2NuaUu2YTYxyzp/XAhFgnX6PLRcd2nE7/7kGj/8nwWPH0qDE1n6MPmu4IoEydgUUsQIi071eZa6z5oasiFBNrUTs1KXiv4m6/yBbFeR7Jib8mpqU1mTrlQo9/tKWkajiIUtl/Cil7yE0WgE/EQV4JsWZgmCOnOzNZYbhkYtIfCLnRDKyRhR1t55Ta/N3xel3ynr8CzJU74Qyo9ZMicDuSj53WVwF9LFJXS0Z+hZye99rMEjTwYkeTKnrL3dVJA8sMxBXWRXs++XmQiTcwfXjYWYAD0Tz78ewidZrYxwW+7TrLxfshAna8atG2dsrEAYgRHS1WxkehybvifTc6MQxpJg0MJyw1Vj/vlb+/zUb3j0YgFeGdjV5yYFuRHg5x45eSJGZXIr5X1lCxAbSTqVlrwkpqgiLFL2BlsFenZxGLedYbanqMV18Rjr0WzNIuQgP645wD1P4/n+oZmp2uHNC8EeLQYEftZBk7IsGyx/lWWw+p5b6TJG3zj4lCILME0pCC2xuDAlxi6zdwbumIERvPfjTT7yxSZjpQtAi3LW0ll0nii23MsYZjJr+YyVguVgshJYimIV32D5/gbJu+SkuFeVtH2Grw0Y3QWgGyeDZF5eaxBWuhYw69wUF4AqhDUkxuLHlne8ZsC+45r3fqxFP8IdsGcAuUUSZZ/bCIy06GxlEWVnKn2Nc35kUgSaOVFSZWuTHvx13WMU5yhKs+rjyDA73UB59cN+4B8ah+F6gM8vbOPY/k9+fvNC8EFGzZ/tdxbxtHapU4oRu4jyiC1b+qPuCpYbvRb2WRjdFDbiOmCbVM6klqAogVs4e7AXCt57a5P//J4pLqx6Dr1l5s7liSixd9qVnzN4NbCsyK70fFbAXn49yeCV3/0GBMpEQJkxe1Wnigk9anNpkgWbuaNiRF7wlUkWMmeFrKfRSRQhSiA3lgTLlrmYn/mBDlh436da9CInBXILZAOQx+lbSTp436SkkTUZy9Lr/NhmbIybK55hpnxcpYCkcpwnAvg0sE/ihC1b5xFe64Mf/eRdn/+Bd71pPcABajWJVLVPz02P39LU4fVxEhYd3Fm1+8St6JuzKasVDJ69lmK9fMmtwQ3BXpIlKagLcCeFDq9Z/vrTDX75j9qcW9UO3FKv091lzzuvGCwFj5U69QzQk8xd8rmrBVbleyko+xvcqoVWVKRKDvx1qXvSgitcR3rK2hmDZ+854GcMDsKY1DJMAZ6Gh1Fo2TqT8DM/2GW5K/ngrS2oZfUn6RJC+bmbZJtkVp5wgPXSFUjiZqlkHnfG6EXpuduBYqNjXCmBKB0jSF0XC2EiSKizOPQeCYL6p8dR9QRUAL7l4jdx4tF/drdWPFCbWrveJoLhuE4Ya5JE5l5sBeBloAOUAJ8DnbJerwK7CvIC2EIUNSci9b2VSFPxIkEFhkOnNB+4tcnZRR9qZTlSlSYi1dxeHlDatDbI5smcanBp14F3ougbUaby7Eh8Y6qkcqKeEegUhVfZ3pTrejcpafLMd86kScroNnu06fbdadAprMw9cmEyZ9mBPQ4tW+cT3vXNA776qM/h0z4ESQnYJZQJ644zEoMkJNtfVZCkq2VmpyubbU9TIpMsrsmrcassXlKAhVRLrclhIlgZGeq1iMXhygO/8v5P3v3AR37lmQEO8L7brwEh6a08yHe/8hybpiWMIBaupqF8ciYlZ2XUVkmXI+wGUiUFNVVpkutyaVAZe2eMnSV0fMPhM5r/63enuf3BmmuglJOSpGDwXHtn7D0B6A2Lqcp6XFbly0aVhGXXZB0LlaRMLj3K0iT9L23FJ5sEcmlEg82ATC5TqvNUquyd39MEkDACSwp0k503i7GKbDilGVle/YIRv/hjHX7ud6c4ctZ3QWcG8mypW3dxCmJcej8BEivysdMZ0KUtJvHmUtBWZV1BnBP/vnUfcZwIVkLYNLPGT31nxIuu34Exhls+Uv39dQB/w6vega91+JO/FnPFsSvBhAAALktJREFU9tv55ptSJrXOl31GgJO5nwXYyYPOQpeXfdnCJiwY2703IU/KAPcMxy5ofv73pvjIbQ1CkWaiNgA26VJYrfPeqFJwstajpKtL7kgO4PLPJoD9jLfyDyfoO5cmJfBXfi8roS17wRVgZ9ZhpsPTctTMNswznhnYZSpTXHxlRMrmWY5QWGJjqemYd37TgMTAz/3OFMcvBAXIsSWZkt2V8w6FxAhBJNy8/RjQCHQqSVR6DB3AS3unZixeIsrJQ5gxeGxdGH7T5SPe9brdtLd/V4iNgZ99doBfdclmWq36v//ml+y+ql3b/spev5sncJ59Yc3kSPG8DHIogkuwFcYWGagnnBNRArgSCUobji9qfuq3p/joFxqEUk1kKifvLrDMhtcXHUob34uL8Bl875yNxTqmJl2pRGrN/Y1udpKxJ+rAKRhMZCCn/LrsqJADOrMNQSCFzFP9ws1eA2tTbe7+iEhZPI7drtDf+fohWsFP/9Y0xxf9KmpymVKWKw6OFrdbc7ZbdixAW3dO8iDT2nx1zG4yW+qehSuUgDnP0vQ30TNXf7kd7P734+Fo3e+uA3i73eCpR2/rvuFFc08vnZp/2XA8Vo16hFZJBcDP9IeLbercGcuKjCp2Ys7UVXC7x6oGz8AtVMKZFc3P/M4UH72tQZg3jW7E3FX2zhwTlbLHOr2d6cFSJR7Z75WBnH/HyS+dG4XZ1f0/F2zaykPxvOyTlwPMzEickCmGDGeiAH2uwUuBZ+q0ZCC3xqaes/tHBIpsjHGSxGgS3vFNQ+IEfvK3Zzi74jmEPeOXceFldrcIkvRaSASV3ZFzBrcFwXwj4A6kpeVZeqtTyb1PbntaPPn57re99fVfH+AAWglssvZjM9P6JpXYG7JGXudZb3xyqm+JdXJlnf7O3pPGOS0lUAuq4JbKEHuCP/pEk498LmVusRG4yxlLSo0MpT3cy0FO9jrHZBFcPtN4iGpyR1QYvJrV/MaxvRGYmWBy9wOR/6DK6GnvTdlZKVmIuQanAHWmvW2a9STzxaWTO8IoB/o0ZaMxvPP1Q54+6vGr720TA8VkzvK3ydKfypUIpgEo1l1oCan1l2luS1XerRPd64+ZlzowgZIIv/nYuQuDH1uYa214fDcE+OXXfBMXjvxRQnunNd19/097Xx4vR1Xn+z2ntt5z19zk3uw3l4SsENYQCCKLLwIqDgM+BJx5ijLgNjr6xmVGHj5ZdEZFZ3DQDy4wOILgKKAORt+whM2wCgGykYXsN7k3d+vb3VV1zvxx6tRZum8WCASYdz6fvl1dXbe7q+pbv/r+vr/lgJJq4ldw49TpeQQ6uNVJliC3AkEwrbeiJ+IiQroswA2XYPkjGdy+PIcqld2FGlntBPSwNe/G3DudYq8hDTEBrQNX5+N1cLbOz76AXhfkMX1MUzExeDjRHFVubsNV3aQAM1dWnMmcbZICOwW6dDq5UFhYqqyIc8YZhw+OC88s44mXXPzu0Zw49dTeI03MJ07yI5Nzo90H5cU7tm/S4LaWjIhwVEIOzl10TZ/O1/VW4ys+ct6BAxwAmiacDhaN3L5t4NEjSsGefMYV2WemtSHpAZfLjU4pkTkPgGXJWQN6EqfrHZeBuMC9KzL4/HdKeHGjLxQTsm/eTWk9uGWmoKrWUdxvrAim+O3EAn9CRjSrbVOY+gvgABCur9acy1QDT0GsHoqGyE0lt0YCVElLuKGmNKIpwoLTxGoDoALsLFkPuKA8xrwZIb756UF8zgF+syInJClH3lkSw8ORUFXdoifGUXbAl0coxYwuHzValoOBxzEybgUnL5iOT1x6JjKBj29+ofGxHBPgXnY6/8HPbv9OpXrKFf07tuc/e/4oHOk/aDqKAHhyC5KPOoBDs+KSh3MQqDC9BDWhsWgo5nAQF7j7oSy++M8JuH3NShvW20ktt9S8GydSaYUMllpizLdjWXPYy/p+NVg+oKHdDG3DJacFMfRwA+impGjyc6EuyMIDWa/JGTOUFGYDntPkgpEtGaTTyQEmpqEC5UDIceS0ENd/fBCUAPc+mFMOjMBfAm5pvTlAEvGcJ9EiXZ4yjp4e5WLq2RoOr+GKc3fiovOWDnS25f/JcbJjsvYxAQ4AM6Yej70D/Xhp1aMoVzYi43N4bghXtCNFFKuZv3ga7VS3wcYAZ3WcnJI4AXpivR0O4gB3rxDgXrXeB/wEzBgD3EmXpnpZ0KzMMQI5NiUZax1MUNvA173PdLsDdTT1c4ox7tIGkAk4ZypvhStDb0iHJAG6zFGBArVqrC9piZ6gJc6hpCkiVUPeMQRP57UY86aHuObKQXAO/HpFTvBxQ2nTQA5iAZ00ALk8ECx5TjpRyYlCkVxEjgfqeZjX3YE5M+cNZLwt/0aCWWMe3n0CvHtSR7Xa1Hd5z3kzfl6r7cpngyEMlyMMVQRI2psZMj5BGLqImShmlQevbtjOJUksOJUJVwldcTjgEPzmkQy+8N0SXtiYgDtVTBLvPOXbSjVJrTcSy4167k0ssOtyoOFA2mCvcyKJZcmJeSVo7zQCui11qw3rnUgFYHkrJxagVUQTFtBZ0mCeGZSFKKVF4+csSfUjSAxx0jkKFCCciQtC/tRajPnTQ1z/iUEwDvz24az4bZKTi/5rCuB1zw0AboA7AkKGrBeivT0CIcDAqIeBiguH5vDHtQtGjt2SvXze3MnVfWF4nwDvbN3NaEf3yurIWYNDrzyZf2kzx9U/asFz6wIQh+Hck0fwwTOHcVRPCBIDMXOUJdd2RywrYAOmNCj5N3EA5hDc91gGn7uhhBc32OAew6lMEOnAlAXt/iY2TVFA5nWWG0RZYQVkay6edMN6K29jvBG47XWpeqL9j943XL62tfF0fcrFEx08aRifqitJCF3REihHkypJW0VDqYysgBCNgmggnzstxDc+KSz58kcziAEtXyX5QHGFJBQlkU8aGUHOkkcMl0U4avYoPnjmMM5dUgFxCJ5d7+Hqm4HNu4s496zTB8ePn7LyxbV76znMgQKc+BPgON7ul7dVz1/x1En3f/enj3lrt7UgZARgNXz/jgCVUYJrP74XRT9OgU0lRUkiV0hABJ2Da3o3AQNxhAX5f08E+Mw3S1i9OeHc1Aaz5NtmxFKqJtLnMcGsVbHsj5I0oidj8G8b5weTi1IHeIuiKEwTk2pw7ULQWknIXLg6qqJJhwzcpCjpNgLwTroskrLkRcEpBbNTZuUvrDHMmRriW389iI9HBPevDBKQIwG03FaCm2qOpXZbTK9kAfJCJsSH3zuIS86uglYyiGIP75xPMOHTuzFAjg8ntg+dP769tLu5KbfPY0v39abn+ljxzGa4+SO3OvmTXg7jbowv+GgrZuBlCxj1c7hnRQ6btjppIYOucxu5JVIlISr0Tojk3ATMIVj+xww+8fVxWLPJR1o3Rgj04E0d7060aCd1Lnm9cwkN8DaoNUDrQZ7Uehu0xAS7DWYi/49bKsy+gG0sWIDnYwHelhBNZUVcDESjKUrtMvPF9fcbdclSj9RZFWc2Sd6iwpkNOY6YEuKf/mYAp59QhSObnPBYcWnjWacjidUGS9cRxjG1K8S5S6qglQADw0Xs3tuMHbtb0NnejVOPP+rlhXOnbY3D1fB9D/sa+wQ4AFDq4NGHHt7UGtQuu/jMHkwphZhajNHkUziRg3OWVjC9MwZLsg3l2VHOJEv4t+TZcQp0QgDiEzCX4A8rM/j0P5awZrMH7klTO1akkmjPCtxpgj1khZFlvaGelYJSn71mWHsd1CmQFQUz2aS8W9Vhf2yQazEcs9DYzgHXKIlhgS2+DqVk2UDXC5P5vh5MzQnEE3AzvXA5Bb4DxgUtRQgcMSXEtz8zgNOOq4DGDCJhhClnUYK4Dty6HEjAKcXLW33c+1AG1HEwWsljd38Jr+woYjBajL5+/7J1q57c5FAH+xvu/jZYsnASyiNlZHPZ7c0l76FNG9acsqN3GLk84E4bwYXvrCDj+4hieZrN4I444TLnROWegADUBzbvcfHo0z6uuqmINZv8BNyJWqKFe9OHpncDJOXZLswytBTIkFbc4t4W+BtZdAlWO/CTUpWGPOUAUN0Q6Y23r4sV6nQkfehqCte4uJW3UkdblPNpKCywQU+Ti4cnVhvJrMZiHWMARQwSccyeGuI7nx3EV27iePyZAJv3uICX8BuWSISSj8sDmmKbiO0oRblK8dPft2DS+BA+ihgZySLiJUwpzn+oa/rx26vVCoib3e9h3f8lAOBr13wNZ73r3X2lQn6IkviCvt3bsXguwaVnjWBBt5jKTj87Jlh0cLN0n2hAsGarh2tuKuKGfytg8043KRTW+XYDC0719wWofZJUxhPVgi216Fr1ujm9iqak6O/rFfJaRbusfDfqBtNqePVa1RSqyho1qZL+vrpo6gJN8m4jK11ofRGG/r2w/rd+O6R0y37dUO9PL2atCh/yfT1eoEhTeofjQFsLw6nH1DBhYoyX1rno6ydWWF//QLlOuzNTF9zNYntfES9sKKJWyQExxZQZR6O9Y/Lf7NrxyooJE6cckN3YrwWXY9rUKSgViytHK6O/5OHA+wK8jHymgOGRGLlMGfBqcKjmTEKXBFl6YAS4gXXbXFz9vSLuWp5FJaYCpYY6MsYjtcsqMmlybl4nA1LwOrpBUC8bom6bfS9rp6tOJz+YYfJsYXo1RTDRtZXMllpsrQJCUhF5txcOpa6MqLTa1KJrjYMMCRHSarM0tgHIgmbhgLIkKkmhWXFR7g4SAR0tMS5+9ygCD/g//1zE+q0uEDAV7JEHmyuqmXhCAPFAnAA5nyIcjrFte4SeqT2Y2NXzy85J01eODA8d8LHdLweXo6trIoZGhjYtPPr4T82YUrpnQpsD1wlRN6GmlmQFYjqeIAD1CNZv9XDVjQXc9fssKkhaTBncWt4RdGqiP5Jpx3XuDcWndUoyplNpc24JUmkVoQHeAK1yPg3aor/NDxLhMOVABXg958Tm6LqjqaZ+TB963onlVKbOJ0wVJV2GTU+sz2HSwdScz4STSwrDqkDAGc4/YxRfuWIIMyaFQKhUEksOUthJD50oUK7FHNU4QIT8PXPnH/Opvr69m1paOw49wAGgc+JEVPsf3HzsMbOeXzCXoK2pF9nMKFw3TBUTcY51C84UuAOCjbtcfOXGIu78XQ4VnnAJ/faUXsVjWfDEwSN6MMeqjIdpwW3nUQfm/kAPoKEF12+vdVZb324/WNclwjrAS3Br26aheN1ya/9jhO01/82WBM0qIKI+S3athfm+CXhqvGZJSiyM90WsJguGC84axVVXDGFqRwjUbK/ZDuWKQA9nIYZrMdb3hQj9Fsyau/D5X973yOaJEzsPBrIHTlHkaG5vBZye64vewzNqw2sv5PGeJI9B3cqU9U7ATYEap3jqWR/fuzOHny/PoianTpDgNiy1fK2hUFsmCbBlpFKlwWpZgg2stwrZ88YgJsQKAEngqhX2/9X5Htbx2he+bb9Sl/5kdDvNV0nzT6RDqXJVYABY/h9XICXqopAJcSZlQRr44UQCVS+4kE4mwHmsrDkhCthpegY19oZFQOAyXHhmBWDAjXfm8fRLPqoyPEMkF9OOAo9AwhBOPILOjiZM7+68/ZQTj77+2dUbDxauBxuSSH7C0L8Ahdbcd7//+/t6d246+cJ3DqK7y0EcO4n+nTToIRGoy1HmBLfem8ff/0sBe4cchEi8Oh3cOrAbOZjUSbenRMSAfJL0F9ScTNHiWM21I5fTVtDyAtAr6+V62VatziGV7ZKJ5oxq61LH1FrWHE8nbdlGGji1+hQxMFpXq2kVk1k2kvfV7Btaazyir1fNmtJtiOzbztKJBfTpGe0JvlQRuDynLP0fvV9NGufQA3epqMDTm3NICAaGHHz5e0Xc9uscRpispVVzJQEEhEU4omsYF59ZQS43dcUufPBdPraXv/rJCw8aqwdtwQGAFC/Hz377VLl10vTajT+5Dc+//CJu+eIoGPeSxKnkQPgcIzHBT36Vx5dvKmLvkKOsdmqZNakCGk1pmMZHUsVA5JuYKa+UwLAjhGhqCZTn30jztnm1oh1ms02DfoxhJchYbzS0FmI7ri3L9SkvJ9pradGNyGaynDikQH3hgy4vihYSSHsGCsdSuztw00JLWVEmSaWt2DRZEUTmIIlzSCDvFglPYiII116Kce0Vg3AcjlvuzmMkpICf3B4SkGcIx9X/qx/veUcb3OaLagApe7mDB/erBjgAnHb8TMSM/XHle09e/MJzg9nevXuQDTgyfhmuWwN1GNbvdPGrB7K49mYN3CmAocANG9waXTG2EX/TolUL1DrYZRAHGohVlLIR5yZ14La5tUFZgAYUR7sIYP7fgQxuPQwgE20bHdBJKD/l0IRrdEI5oESjuuk2mjqTUhmrKt8EOjEvIJK0opC0JjmaJFF6CKEJyNWXM87RUmT46seGkPE47rk/j3W9sm2Bi8ALUPQcFLPjQbwzR6k3/48H6Soa41X/Z0drCZ7nf+kzl77j28uOX1BZv7kNo5UAhBD4fozHX/Rw5TVN+NKN47BnxNUq33UqYgHb9s4aLKcOpQXoRtxZlaLJZ70fh8XPYX4dJOjTbcxC47HyTkzLThq+UZfDb6/T8lL09akUaDiZUI6oHa6H+T7jOuh1a609Q/F43ZqbPFu/2sz3U4khcUShh/WTdXEItORjXPNXg/juF/tw4pyy6I3MKIoeQXcLMFBeUkHxvG9Tx/+S4zW98QAHgPamHFv11ONXze/p+HpTy4Ra4IXIZmp47AUHn7+xGb97vIBq5Iu2xVTPArRC7nUhQcux1NChVBOu5EC5lVERP4ZMiAbLsG4kyXfourghYaXrifGskogOfPB9rbCAnqYjJeZcr543Q/datFJaXqY5j7pqUvcwohimWpO+r9QblRpgKS3Wa8YdkW7LHDHFYeTAdwjedXwV11+xF4vnDgK1KirVGJO6OmuMdn79kYefvIrQAsNrGK+aosix8IjdNUbHXxfwQm1PL7v6hz/16C8ebscza7NAFhDT2nITIBIlxsuxgGHSEyMEL19rgKUWcJVMqAJNNu+25T5DDtStOVBPXRpSGBgXw1iDJ0lZnCcXVMqTdU6d8GqiIZwoC6svCyqR0Ayoqh/Z1FJXaWS9JrQLQtESriyzpCdQtAaS2iRKi33qlD+hKI34+Y4WlgfCiILUCE6YzXHDJ4dwxwMh7l45g3mljqsjp+WbD6/aW8NrHAdnbsYYm9beivaWzNzfrtj27KV/97RTifIgHkXEQoDVxCwBummy79E2D5dW3mqeSYmICdWpJ5pyIvqf8LR5fTrvpWzMr6sVRKoTxFBOjHC99Zro6wlJJoolSUGR3vRevV+vqiCJ+tanEdhKij5vkPEeSSYcIEpB0aeWEftpT0KgpkM3FBViThdjKCnGstbtwFJP0q4IhCWnNPUOGsJOBIwchLGHKPIQeAwjlQoe3vjeeMfwrIWBO7Lqox/4s9eMzddswQFgFEci21Jci0zXFZe8p+l7D6x4gg5WCXaNeghZrFlxuX96FIMrU7afoZKnuGHNG1lePchTl6ehbW9b/IbbAZolV/QE2nv2NupU7me/bM07TZrSlqFbac1ac7MkLQ3dEwIxmZVueS1eTWSInSS9erhGL2JNIeHpz1RxGWndzV1RDrcMRyW7KNUVbUv5O6LIQ/9gEaOVAJ1TF7HTT5hzxapts9Z2FHccCmgeGoDP7jkWDz25rvb+sxbf3LtlU64Qtn3r4VXbMLCFIYxrFsmVg1lhPPu5/tAZoNYdQ6JLg/UyIDQ5sQ7MsKvmNVCqM1antJi/Sjwb1MVaHmtod+wUwER7T9qCdCJWSzZUgG/Av1NFRfFzpahIjg5texkQEpTIUE64uor1M0Ub7o22T1CcXK0XqRueG6EShli/1cVQtQcjzvjPnnTq6Tcvyr4Q55uOOxTQfG1Opj5OOWYmdvfuii8475z1H730lKEbP1fFZcs2oskbFhMbgUDMD+8hrchJD4rG0+3mIFbM0Hg0qoQHlDWVFhwm504vlAZ8e19OqGGlYX6eje6DSbjSd1nPRzEKkW0LjAbKh6acpIBmWoGEfohTC61/nr6e1J0Srl3MXB4FotaYrUBEHUCq2jCKOHbBmAMOAsdhGI2q+P6vGb52exuClpOHFh139vreXbvifNPcQwXLQwdwAMhms2ge13vPjJ5FV85bsKzvSx/K4pwlA/AIE+B2fKSTsUqLJKexTWbyEoEBLRE+PaQNgIjGgLRbQtQFcdLzYtZYiguBpAA1LLz+vRo90UGf/tb9vJagNleoJwFoYmxna+S6qqLr3mZFjw14OwcF9cEd/ULSZEFZSK5uuvrFbIM7mZjXEZFMDgLGXESxiyhKQM4Z7nzAx03/0YNl71rWd8IJi67808bhe/zM/nO8D2YcEooiR6FYAgBEtb5bSeEct9UPr58y6TftHnMQeQF8zwXhomk5i0KgEqEpX8PIKEHICeBxpBPDyCJXztPbpTysJlAteqK9Z1OWRjnTOgjH4unyixvSkwThjfJQDnakgUpdHUmeBYVpFMhRF4SkF6YCo+WZgKfqibTIaaosg5hcNZUHSfrhKvGLpL9NJyrKenM4NIbnx6gxoDzKMC7HMTrqoVp1UYt8ABwZUgV1qwh5Jy457z29n7zolP9droS3njB34qGEI4BDDPD0Q/0WcL7rR3CX0WnTRq498eiH2leuJ2gNhIe9ZxSIgxoW9Qzi3FPK2LjdxX2PZ7BxWwDma6jSQtMGsBu9bmShDaCb/yPVDDvQA/1z9UAPVBpt3V1B2/cDsd5y6L615Nt6tQ7R5UJANYtKPjgNoSeglxdFmgOecm9uhOoFdYEK1yepqcQKHClaollvDdrpLB5pZ7IYjh9hfXI+N+xw8Z4lFcyZzFENfQyV8yAQN+2VLzIc2b24d9nsJV/Y3V/90YzJTa8HFF8fgIudH481z//7zUsXtMYFr+0ft9xYa+nIi/Bt98QIS48ZxvuXjGDW1BoiVsZZx1fw5Zua8MIWmmisDEauuQShDOCoZtJjBnB0hcUsVSMNt28UuYS2nVg2XUud6xv732hlg6E7llz/XCWIKIsOy6oTZaEBLqYu0fNQNO1aFT5AA7OubUsuzlWGYPoaKUVpfLITgDsML2xy8eWbmvAfjxVRYz7ueZjhfSfVsHReEVk/D0oZijmOR9fM6Ouc0PX59Vt//+PLPnTe6wXDAytZe7XjuzfejgsuXPonzptfoVHurIwzFExs9XHMEQ7OPjFGZxtFFLnwPYaZ3RX0D1GseDIL5tQXGlNC4FF9GhI1UateQS+yApVenOremu6sa9kya5dQVUqmZwumF4SufRt3AG07apen7evZ9gfq7zz2HUVso89jQ4z/a3T3aqgSGResRuOI9tqeFY8qwyI1dWNuUxqDeBG+d2cBP/lVE6o0BxoUMVIuYHdvHg7yiOIs9gxQFJpmDGUKXVeCVm778CUX8wND06sbr5sFl2PTlnZGqHf7cQvK0fBQ5ic7d2zJtDe52N1fguMQNJcIKI2QcUN0jItFdM0Y4nTqVIDYD+0k1SkhGoD0CZDsqGZq4Wlj6204lxZt0te96mFTFUjLrrTslJej3orrWX+GFSdaXxSmbZ++B8NSpzknujwov1/+0DTpihg/nxNg514HjLggXga5wENnjmN8iWJ3P8BYhBnTp1YqbMJHjpxWumtopPKawvAHMg6pitJoXHLxhZjQRuOemZPumjp5wsWzZk6qEESohhTVmpu0fRN5wPWpHOYBbARcA/ikHvB1ALbW2ZOPjqWJN6IyJj3R/r4aj5M3WLQCNEqyI4YDaeSHaNVgoj1Jo+SpxlIhuJIGDXmQK4mQmz+17jcT6XRTiiwF8h5D4DLUaiFa2zsrhVLbxXDb7nrx5XK89LT3v97we/0BDgBnnPU+VEZ2x0cvmP2LlrYJlza1TilXa2JeRQBwnRhDIxxPrPbBjNZs6RFrPNtCg1t9Iw3boBoN3jekQjLWLd1USiScjbuKJR/uN4qZDFun1iVD+em2vi2dyZQ7M6R1mSbokfZCYZwIRdaowbQlQi3H2zIhyqJrmYqptXdAYorjZlVRKoRAnEzJDUFjemZOLXdNnHDpvIULfrGnb0980QfOfyOg9/pycH38+JY7sGzZmWgPVr9As1M3ZHx2RsbdnWlrGkQYl3HdrVnccm8Tqnp1R1rNI2bq8qg5v7y0wDKzUM19meRp2JUzVs6JY+eWyNfW8lic22wRsT++TRpaf8DixRbdaSRlClipq03n6CBidmD9aiTWhQ2itYNItkl7xOgdyqg2xTpRvFufel1uI2387O4Q+WyMJ14IUK4FaMlRLJw9aWDmjK6P3ffw2tvbiwQXf/DVFS+8qQEOALf86x24+NLLcGS393wm37qtra1labmyNXfdrTFu/s14lHlGTCoFiU4BdEJIOs+l3u8kLUGzlvXXqlyNNE5soiaIGzmWNqhpgqg6oFMtpL9foCfApDZwkYLfdAR1IqSvN6lUCmj5MZbUafsoUuYTE/EiBblyJKXTKY8LT1rTMOWIUtHvhjMKBx4W9oQoBqPY1d+BU5ecsGfWtAmfrkSZ22ZOzuPDf/HBNxJyr7+TaY9TTr8IAMD5rlsA1717eft1D/7p4faQjoI6FKxWA2iknUWljhgnRj/J1sm2C471xjpmgYSSCykhWvot0T63HpwwwKFZRpmcYTGThkQlDZjASEiRmbHaJqpHCkz+K0LgPCWaFMIyy3ba0hMlHMlUw1qBMZP7pzrJUs5gz3evf6O006q6XvmIgoq4KFd8hCHFBaeXcMqpJ/e2TDj7bxkLb+l5nXTu/Y03HODpASHjsXl75YeLFpxNPn5p6dof/OwP7Wu370Vp3Ci27GSAE0C24XWgen6rA2p9nv6wHUlK6hzIRusMwFKTj8OyhIphKDNrynoHzr+NfeJplB6ANhVlYtr1BNSUAzMO2elYhfZVcx8GJOAm2uwN4kKiaXKWnhMz9m+vz1kRPpTn1rBxewAKDxE60dx5Tu+xU079AsB+SEjTGwsubRw2gAPAlIkZjAwP33zhOcdFhSz91h+ffKB5Qfd23PGHEMufbgHnWTiEwKci71vOpWg4ZDCBbU9TUg92E7iSayvLL2fh1YNBJP1uAHUWXVpwnvyfvl26rO23kR2sRXdknkca3NE2kZ9hWPDkmYEk3aYAMAJKVXBGtkyW05OIaQIF6AmR0iEBTSx7Cvj0Z5kFDZwRxIkAQJPiYkoj3PeUh39d3o7zT56Bk086rb/UfuLnqlXnJ5lDnFtysOOwAhwA8oUCqtXw1nPOOLZvWsv27kWzC1+f1PZrb/2OItbvdJAJgBzlcKlK72ScgBEu67UNAIzlWDpUA2sjp9Lg2iYtocpIa1q4wYYV3bDpyX4MuZF/kmyvV8/LjRS41ZLRspsRUMLBKBSn4eKCk7MgC0uOdIIqxpIp/Yg4noSQ9E4gv1hvhw0gKT9TsmGORli7heIfbmnB5J5l4Z5a7vOl9sXrfT/7a8c97PA6/AAHgCDw2Ojgc/csOW2ZP9D7dHnYyd7I3dXEc0FLLkfWEbfQGhOPOLk1O0QLQEhnyFBXtIilpCV2RNMGt6QutDG4qQZuXYsXP0H3FA9s2Jva4XpA4JUlIKfpf5kgT+poQLnoEyh+XPIBCf8Gs66aZDMpIVItbK/fEWVFDyCk3Sh2wOGCuREqtRDZTAv7xKXv4CQ76+NHzD76xytf3FJ7x3EzDzesALxJAA4A2dJ8PPjE87WmwrRbB0Ln/qPm+n/e0bTz/+7Ztg35jINaRDBaIRgMBaqyjlBTfNlxQKopRCtVM5QVkr4mY1hpQuvVkpRzpxzdBPdrD2GaI3Us9UQzroxy0rZS/CYuQugGyDVLThgBp5K6yI0sNcY6Ho7GrQnhoA6D58RwXTFPTqUaoFoR2YGeW0GQnY628a1//86p039Og+ZXwFbV5k8/5nDDKR1vGoADwNJj5wHA6Oe+cdeapmlzr5vflff7evNf2rhxs7NrIATP1tBMK1i7OYOyl4FPCTLg6UlSNZZCFnScBh2rEiDbqsqY4JZKC1WcHOkzUaH6ZB90i34ww+bZqcPZYDsq1RokvBm8oSWPE5GDUsHT1RR/pO475T4zpsLwhHC4lCHwa8gEo3hpMwW4g0rFx2i1gLbxR8aR0/y1pqnV6wa37YjHdZx7uCFUN95QHfxAxyPL78Bfvv9s/refvPD+u39xW5DLkOM9Muyef2ovrjx3C9ZvjbBhewaEesi5QOBwBC6H5wKeA3huAm4KOA4xE64scAtOThrSGD3oY0uH0K06kFp3dRHUp9oS+w6gKziAQXlsim881w1FjYi+jijapD5Pdqyt16Fk0bJDOTw3hufFyPghcpkyVjwf4WPfbsbm7UV0tE7C1JknVeccde43xk9e8neX/Plf8M6Zlxxu2OzryLw5x8DAIOKYgxBcu6d34+L+Lf9OJ7dvXrx+2xr3f143Hbv7W9FZYCgFDPmAI+MBgUfgJX2GHKonVo0lFdZHK1Mw00QV0YCqHzUDg3qYvhHAJZVKSD3dB8DthC7jZBk+gXKsU75M9Nd6Nb49EZfyVxyHw3U5fDdG4DNk/Ai5TIhCroqW0gh2D+zFxV8tYpTPiRZOyz/6+cvPYXOOnPEo5/gCpQTZXPFwQ2XM8aaiKPYYN64kF7+wa8PPkJ92dDGf6fx+UzW4oJgJaW8UgxJhoV0HwoK7gOcBrqPAK4cOHvlefRTTtOBGDsoY5uBAc04OajQK7CR/pCQpActZ0ldF7izjCS2B8lAlxUrbwCnL7qQVgo7o++g4YCxO5umJQJwcFs2ax9omHnXn5EnjPvqHlVuGjj32qDcUC692vKkBro/x0z8AHj83BDrnE7R8xLp5c56bN6G9+r61L63DuIDAdx34qQUncF0VeJGBDKkxkyQML5/1XBI9X1yBmxiUQdUl1g9Dy4ameetOY4PrYaxLJA1KWt9HuHUHkAScJp/GxaQAYj6dpKVE8k2qhZtYQylBzLjQzBOLHnocLK6B+3MwYVzmlx/5y9OfHwx7bnDpyNAZx3cfbjgc8HhTU5SxxnOrN6O1KT/1/sfXfPvJZ9a8b/ULz4PVBlHIucgFLnyPwHEICCVgMUfMGOJYnVDVjEdLwDLArS2nEUqBUgng9KJJ1hKbB2sXBk1uAXrjH0llzHwS7f+TYddfJl+vyXhK9jRzbbjxWjY+QmLxI0YQxarTrOdwBD6H70YI/Bo62jLonjkT49pm/TIozf80C4c2ZYvTD/epP+jxlgQ4AGzYugee581c9eL6BXG1/Km1a1YvXb1mNWqVERTyAXxPJIVUwxiVSoxayISWnFAao193HbiJcQHoB4ql4Obpsi5HmLWb9VKkXgtKbWDbVEhLi9WfpYQomiBBtNjeB8iFs51UNxHR7KcaEpQrBNVQfJ3nCnC3tuQxbXoPpk2f8eC4kn/DuNYZf2JxtM7xD3zakDfTeMtQFHtM72oFgHWc83UAnndpNPHohbNvevnldTM3rH/JCbwIDiUYHHEwUo5RCwV5dR1AOoCNwK0cL9MJBRIcMw4Wq8l+7YZdsmcfIZZltwaxXqTyom7BCbQ7hixgUHcOluyDAwg9jEM0EaMwgj1UBokIIIKLHGEMDI9yDAxFAAHGFQLMXrQo7umZuY7H4cemdJ+0HcCaA82pebOOtyzA5UhOwJo9fX1r4jh+V7GY7Vp8wqI7X179UAm1Tfmtu4awYTvQN0RRyAAkIHAT8DpUgRqQIFBW3E20dKp3sIgJQgaAcY2mqDi7AXKYWrOhvljURJcc09wWCCsty9PimCOKecqnKSXJ7HzqriBSGcQ/MwI4EDo5T4JCgRejkIsBxFi/lSFiRSycM2nk3GXvGKSUnd/Z1bXVoXTTWx3YcrzlAS5Ha0sLOGeb2tvaXhkZGZnbVAhPzGcXfX/1unWFx9dvatq4Yyc8J0bgiSwKxwFcl2rCg5rzhhBBYdxElZF5LDJwEkZi+5jxNISe4oGYllzlxepepglkG9yptAkYWX5RzBCGDHHynQ4lYA4VwKYq6ASdzlBBmyhlCMCQDRjaxoVobi0NjWbm9nV1znWbCvSyGTOmPZbPFwY454zKK/ptMN4el6k1wtHNAHGpy28nI/HlH9rVN/yZH9x2X23Xtg2k4FVnUxJn4qiCbMaFSwnCiKMWMTAGuC6B71FkfIqMDwS+cMCoA8QxMFIhGBhiGBmNEcVMSY4UIISm1j7FO1F0yHG0u0KisxNingS7KIMQIIqBkVFg71CIciVO5qQEPIfA9ykC30XgEwSeoCCcAZUaRy0UHDwXcDSNy6GQcypTOulLM2Z0es0TTrq1cORn/+HBX90QdHWUKrUwYkfOPLgZzN4K421jwfXhZacAABspx3Bd+sPAr/7IdR28c8k8p6WpcGO1Ujli27bNJ0fVPQ5YBb39Nezqr8JzHOQyLrgrLLzvA7mAIfA5PE+AuVADevsZBoZjUJpIko4Csq1fM64mnJUNUHTVA9DUHU1GFNFE4fxRCkQRQ+/eGGEYi310gSBJxBEt0hx4LuB7DIRHGB51MFQmKBWz6Jo8MZ42bcqKbCazhkXDVxDaH7teFqNrvsOzxe7y4T5fr+d4WwJcjnwuzUSQeIv6+wc+6rp+88jwnmteePZ+f2hgc8xdumgk4sf09+3B3qEyWqgPp+Aj63MUcgz5LEMmiJANIrSOG8Ajq/LYtidAc4Egn6F10UkgKfRNeDpLzLTjSGohLC2V3FoWDDMFekoB3+MoZGM0F2uoxqNYuc5Fe9FDzufI+kAYxeCcw3UIMjGD5zC0NWXR2tqG7K74yWdfqj01sWuKc/qZZ9U6Otq+WKlU+guFcYf7tLyh420N8EajuXkcAPQD+CsA+Old/4n2SVg6cXJ41vDI8PlxWJmVcUMM792ApkIVpdwgirkyskGIQo5hQnsvtpcptg9kEHgcGZ+nIXj5AAAWMUQxQxTxxJGl4K7IuXYdIPCE0xdFBDET9IdDTdECLqx4Lhujo3UEA9U+bOpvQTn0kHNC5DyO1pKLbCaA52cwf95sTBwfYFwpWJ3L5e48+hj6u3P/B39wwtQzcOXlh/uoH77x3w7g9rjoz04DgAd37up7EMBDjEXd5eG97LEVu9ikronTJ3Xm/paEa+G6BDzaBJcMo7Xg4fHBLCaWPDiUpqqM6wgOLwbBnr0c1VqMTEZwdN+niWUG8lmGXMBQqVFs7aWohkLpcCgHPOEw+h7g0giZoB9bd42gNpxFZsJ4HNk9EzwOceL8SQjLfddFlb0bFh1zAh3f0Ux9z1kP4L5MtuVwH9o3xXhbOpmHYoSVbaBOpqlWfmVpZeAJEOqExMn9dTYon7lqo4vlK/NY+9yzaC1UkclQVKoczSUX4BFqtRoCL8a2/kE8+AxFV7OL9nEOSgUXTUUHTUWgo6WGCe0DeODpANt3ZuF7FL7vI5vx0VykqNQE95/XE+DoRd34zz95WLfJQ5Dxl+8eir7F48h79ylzMbt74oPl0ereGVPGH+5D9qYc/+0t+FjDy3QCwF4AdwNAbXQzALzk0FrHwgWEkYCjb+vLyLscvk9QixgoYeG8BYuuqowOn+PRWri0ZRDNEwkqwxl0NFMEPkVzUZThTWitYqg2hFEng5k9PkoF3yuVivc+8/QzV/mB71XCGBEDqFdErulYTJ+Rx6yemOYDZyfn2DCrexK+frgP0ltg/H8LfgjHM089DhB07O3bNY6gynumDOGB5zi2b89jfLNQXJoKFJ5L0NFaw6Y9I3jk2QxmjndQLGZIZ+eEAc75zpMWLz7cu/K2Gf8FXGj1fgZP5t8AAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjA6NTk6NDkrMDA6MDA+Hi2VAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIwOjU5OjQ5KzAwOjAwT0OVKQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 275364000
{'hecke_orbit_code': 198158383637860816, 'n': 1, 'trace_an': 3}
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id: 275364001
{'hecke_orbit_code': 198158383637860816, 'n': 2, 'trace_an': 0}
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id: 275364002
{'hecke_orbit_code': 198158383637860816, 'n': 3, 'trace_an': -3}
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id: 275364003
{'hecke_orbit_code': 198158383637860816, 'n': 4, 'trace_an': 0}
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id: 275364004
{'hecke_orbit_code': 198158383637860816, 'n': 5, 'trace_an': 3}
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id: 275364005
{'hecke_orbit_code': 198158383637860816, 'n': 6, 'trace_an': 0}
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id: 275364006
{'hecke_orbit_code': 198158383637860816, 'n': 7, 'trace_an': 0}
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id: 275364007
{'hecke_orbit_code': 198158383637860816, 'n': 8, 'trace_an': 0}
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id: 275364008
{'hecke_orbit_code': 198158383637860816, 'n': 9, 'trace_an': 3}
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id: 275364009
{'hecke_orbit_code': 198158383637860816, 'n': 10, 'trace_an': 0}
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id: 275364010
{'hecke_orbit_code': 198158383637860816, 'n': 11, 'trace_an': -6}
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id: 275364011
{'hecke_orbit_code': 198158383637860816, 'n': 12, 'trace_an': 0}
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id: 275364012
{'hecke_orbit_code': 198158383637860816, 'n': 13, 'trace_an': 4}
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id: 275364013
{'hecke_orbit_code': 198158383637860816, 'n': 14, 'trace_an': 0}
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id: 275364014
{'hecke_orbit_code': 198158383637860816, 'n': 15, 'trace_an': -3}
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id: 275364015
{'hecke_orbit_code': 198158383637860816, 'n': 16, 'trace_an': 0}
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id: 275364016
{'hecke_orbit_code': 198158383637860816, 'n': 17, 'trace_an': 12}
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id: 275364017
{'hecke_orbit_code': 198158383637860816, 'n': 18, 'trace_an': 0}
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