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mf_newforms • Show schema
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{'Nk2': 2184, 'analytic_conductor': 4.359831950361909, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 3, 'char_parity': 1, 'char_values': [546, 3, [365, 157, 379], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 211, 'conrey_indexes': [211, 295], 'dim': 4, 'field_disc': 2601, 'field_disc_factorization': [[3, 2], [17, 2]], 'field_poly': [16, 4, 5, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [-4, 1, 1]], [11, [16, 4, 5, -1, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49540351848874530, 'hecke_ring_generator_nbound': 5, '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, 13, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '546.2.l.l', 'level': 546, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '546.2.l.l', 'nf_label': '4.0.2601.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\beta _{2})q^{2}+(1-\\beta _{2})q^{3}-\\beta _{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '546.2.l', 'trace_display': [-2, 2, -2, -2], 'trace_hash': 623710044443278220, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.905', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.970', 'prec': 17}, {'__RealLiteral__': 0, 'data': '59.375', 'prec': 20}, {'__RealLiteral__': 0, 'data': '40.134', 'prec': 20}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2184, 'analytic_conductor': 4.359831950361909, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 3, 'char_parity': 1, 'char_values': [546, 3, [365, 157, 379], [3, 3, 1]], 'conrey_index': 211, 'cusp_dim': 208, 'dim': 32, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 755947799074, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '546.2.l', 'level': 546, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 240, 'mf_new_dim': 32, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 224, 'trace_bound': 11, 'trace_display': [-4, 0, -8, 0], 'traces': [32, -4, 0, -16, -8, 0, 0, 8, -16, 4, 8, 0, 4, 0, 8, -16, 12, 8, -16, 4, 0, -8, 8, 0, 40, -20, 0, 0, 4, -8, 0, -4, 8, 8, -8, -16, 4, -16, -8, -8, -4, -4, -4, -16, 4, 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-8, -8, -112, -224, -8, 56, -60, 48, 48, -32, 0, 32, 0, -32, 8, -168, 56, 108, 104, 8, -24], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47434478
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49540351848874530, 'source_is_minimal': True, 'source_label': '546.2.l.l.211.2', 'source_level': 546, 'target_conrey_index': 211, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49540351848874530, 'target_is_minimal': True, 'target_label': '546.2.l.l.211.2', 'target_level': 546, 'twist_class_label': '546.2.l.l.211.2', 'twist_class_level': 546, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47434479
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49540351848874530, 'source_is_minimal': True, 'source_label': '546.2.l.l.211.2', 'source_level': 546, 'target_conrey_index': 757, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108087559321552486, 'target_is_minimal': False, 'target_label': '1638.2.r.y.757.1', 'target_level': 1638, 'twist_class_label': '546.2.l.l.211.2', 'twist_class_level': 546, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47434480
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49540351848874530, 'source_is_minimal': True, 'source_label': '546.2.l.l.211.2', 'source_level': 546, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 202661983265233850, 'target_is_minimal': False, 'target_label': '7098.2.a.bt.1.2', 'target_level': 7098, 'twist_class_label': '546.2.l.l.211.2', 'twist_class_level': 546, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47434481
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49540351848874530, 'source_is_minimal': True, 'source_label': '546.2.l.l.211.2', 'source_level': 546, 'target_conrey_index': 295, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49540351848874530, 'target_is_minimal': True, 'target_label': '546.2.l.l.295.2', 'target_level': 546, 'twist_class_label': '546.2.l.l.211.2', 'twist_class_level': 546, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 47434482
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49540351848874530, 'source_is_minimal': True, 'source_label': '546.2.l.l.211.2', 'source_level': 546, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 153122387364158394, 'target_is_minimal': False, 'target_label': '7098.2.a.bi.1.1', 'target_level': 7098, 'twist_class_label': '546.2.l.l.211.2', 'twist_class_level': 546, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 47434483
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49540351848874530, 'source_is_minimal': True, 'source_label': '546.2.l.l.211.2', 'source_level': 546, 'target_conrey_index': 1387, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108087559321552486, 'target_is_minimal': False, 'target_label': '1638.2.r.y.1387.1', 'target_level': 1638, 'twist_class_label': '546.2.l.l.211.2', 'twist_class_level': 546, 'twisting_char_label': '39.35', 'twisting_conrey_index': 35, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1028525
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 49540351848874530, 'p': 2}
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id: 1028526
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 49540351848874530, 'p': 3}
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id: 1028527
{'charpoly_factorization': [[[-4, 1, 1], 2]], 'hecke_orbit_code': 49540351848874530, 'p': 5}
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id: 1028528
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 49540351848874530, 'p': 7}
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id: 1028529
{'charpoly_factorization': [[[16, 4, 5, -1, 1], 1]], 'hecke_orbit_code': 49540351848874530, 'p': 11}
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id: 1028530
{'charpoly_factorization': [[[13, 1, 1], 2]], 'hecke_orbit_code': 49540351848874530, 'p': 13}
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id: 1028531
{'charpoly_factorization': [[[1, 8, 65, -8, 1], 1]], 'hecke_orbit_code': 49540351848874530, 'p': 17}
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id: 1028532
{'charpoly_factorization': [[[16, 4, 5, -1, 1], 1]], 'hecke_orbit_code': 49540351848874530, 'p': 19}
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id: 1028533
{'charpoly_factorization': [[[64, -48, 44, 6, 1], 1]], 'hecke_orbit_code': 49540351848874530, 'p': 23}
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id: 1028534
{'charpoly_factorization': [[[169, 52, 29, -4, 1], 1]], 'hecke_orbit_code': 49540351848874530, 'p': 29}
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id: 1028535
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49540351848874530, 'p': 31}
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id: 1028536
{'charpoly_factorization': [[[256, -144, 65, -9, 1], 1]], 'hecke_orbit_code': 49540351848874530, 'p': 37}
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id: 1028537
{'charpoly_factorization': [[[3481, 354, 95, -6, 1], 1]], 'hecke_orbit_code': 49540351848874530, 'p': 41}
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id: 1028538
{'charpoly_factorization': [[[64, -8, 1], 2]], 'hecke_orbit_code': 49540351848874530, 'p': 43}
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id: 1028539
{'charpoly_factorization': [[[4, 13, 1], 2]], 'hecke_orbit_code': 49540351848874530, 'p': 47}
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id: 1028540
{'charpoly_factorization': [[[-7, 1], 4]], 'hecke_orbit_code': 49540351848874530, 'p': 53}
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id: 1028541
{'charpoly_factorization': [[[256, -32, 20, 2, 1], 1]], 'hecke_orbit_code': 49540351848874530, 'p': 59}
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id: 1028542
{'charpoly_factorization': [[[3481, 354, 95, -6, 1], 1]], 'hecke_orbit_code': 49540351848874530, 'p': 61}
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id: 1028543
{'charpoly_factorization': [[[64, 80, 92, 10, 1], 1]], 'hecke_orbit_code': 49540351848874530, 'p': 67}
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id: 1028544
{'charpoly_factorization': [[[23104, -304, 156, 2, 1], 1]], 'hecke_orbit_code': 49540351848874530, 'p': 71}
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id: 1028545
{'charpoly_factorization': [[[16, 9, 1], 2]], 'hecke_orbit_code': 49540351848874530, 'p': 73}
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id: 1028546
{'charpoly_factorization': [[[16, 9, 1], 2]], 'hecke_orbit_code': 49540351848874530, 'p': 79}
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id: 1028547
{'charpoly_factorization': [[[-16, 2, 1], 2]], 'hecke_orbit_code': 49540351848874530, 'p': 83}
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id: 1028548
{'charpoly_factorization': [[[676, 286, 95, 11, 1], 1]], 'hecke_orbit_code': 49540351848874530, 'p': 89}
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id: 1028549
{'charpoly_factorization': [[[64, -80, 92, -10, 1], 1]], 'hecke_orbit_code': 49540351848874530, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 12, 'label': '546.2.l.l', 'level': 546, 'portrait': 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ZvUzE4kLHV9ukPBKHZZHgg2TGgWO5rj5xQ112PDNGyZC1k/M2LdTMCGmYAt6w3bNigu3+pSV02OHG/zjWc9Ht8f8/SxiET1+O6bO9zxSkNdzbD/2CRHTjucOp9wdiHi+Lzh4ILhxivn+Xc/vMzWmQlOz09yfqnGUsdhqStZ6SX0hgmDkeDQ8QWOnFy5/PED86/ed+z8joMn5r/4ite/PXzgro+92JD4lm5/rRl8eaVDHBuk5N0PP3nolb/wW5+Sb3npwVf+47eecc4vr2Ol22KpW2Op66YnB5Y6CcudiMVOwpllOLQomJtb4T/+yCIvvaTBiXPTnD7f5PSCw7lFw9mFmJPzCed7MZPTI151dZ+XXQaerOMrn3NLNc4sOJxdEgwCiGNNzdM0awlTEzEaOHY2ptuH7etdmvUAYwQIj/5Qs21DwOKKA8ZKkZU+BDEYDEudkM3rXHpDhVAGoQPaNZdtG0esDATHTjsk2mGmLWnVBL4LcSwYBJKzS5Izi4ZzyzG+PwI35uVX9HnllYK5dp3F5TYnzvmcXoBzCzHnlmJOLcGhRcMNVyzwSz+yzIbJNsfPTnN2oc78ssdCR7LUSVjpRiz3Epb7huU+nOkJzi0O+fV/OorfcUvrQX/2J3StvftBjPkFIRW1evvFhsoFb39tGfwD//MTvOJl1/H//It/8ct//hf3/PM//tiXL95zbGXHnpMDefPVXS7elJBoCxwQFlTI9C5AGBxh8CWcXqrx0AHF1buWuGzriEYNXEfiuQrPc2jWJQ1XMui77Dta40uPexw7H9CNI/adCFg/s8RbXrXM1Rf3uOGyDkcXYhYGgoY/4vBpQ6fb5KqLJCujhD1HFa2Gw3PH4JJNhlGYMEo8HCdiqgV7T/goJ8GVMY4Lw0Dy0ssGDAeSqy9O6A4Tjp1usXODotkIWQkM6yYHLPe7fPQeePJIwtNHRmzftMg1u7tMTYe8+eU9vu81hl0bWiTRJEdOTXDopMuJs5qT5yNOnk84dF5wfCXiJZfO8x9/pMf6yUlOnJ3m3GKD+RWPxa5guavp9CI6g4SVngX32b5kvqu5fvcCP/Pd89JB7jh+/PTOwTC6aWJ6e73RnPry49/4NL//3j95sSGz5u2vJYN//M/+nJuu26o+/5X9//7YibP/5pk9R9X8csD8wOF4Fy7bep7/+jPneclFdc4tTrHYabLU8Vnuuix1HZa7sNxNWO7GLPViFjpwYlng1Ee84solvv81ITvXNVnptzm/VGd+yWOhI1jqWImw3NN0h5puYBiMYmbaEdvWa0Dgu4aT512E9Nm+TrFzk2HTugHnlgOeOtDi+ksMjfoyzx6cptUMCUOXmSnNcASXbxvx4Xsm2b01JggMsxOSKBnSqvk8d3RE3W1y7aUxTx8OObfosXnGZ+dG2LYhRKmIkwvguQYhDNvXx0y1JL2hT3/g0h24LHUVSyuw2NEsdRIWOglnO7A4Sti2uc/337LAKy5zqLltziy0WViusbDisNgVrHQ0K72IlV7CSt+wmIL73ErCjbvP8Ss/tciujW3OL02wsFxnELaot3cmtcaGX14YXfJLbfdk8trXv/XFhs6q218rgO/fv59arVY/ferktmeeff6dh4+d/s97958giAX9EawMBGf7kpPdhOt2nuPXf2aRay5qML80yeJKg+WelSvLKcg7Pc1KL2a5F7PUNZzrCE73DYg+d9zc4c0v1Vy0sUYYNlju1Fjpe3R6iuW+oDcQjAJDGBuSBJQ0+C7UfcNk27BuOsJxRxw6E/LMQR8dN3njTSGOu8JjeybYsRE+/3DMzVf5nO8MqTmKOImYnoI4cnHcmMXFBq+6rsvnv95i50Z49ECAS4PbX6qJxZBnDiUcOVnDkR7rpxymmoK6L/A8gRIQawgjwyiE3sCw0tf0BpqVgWaxbxgmCdu3DHjzyzrc8coQdIvFlQnOL9VZ7KRk0IGVXkKnH+fgXh7AmZ7ifDfhhkvO8as/c57LtzWYX5piqdNkuefTHTh0e+A1NlNrbvi3W3fs/tiWLVuOB6PR8JJLLn2xoZTf/toA/PChg8zNzXkHDx34sYMHDv7uE08+JZZW+nI40vRHmv7Q0B0aVoaCc33FqV7EjRef59d+conrLvZZWJlkYaXJStdnpeex3HNY6Qk6PUOnn7DSi+n0Nct9w/me4ExHMzU54PU39Hj5ZTHb1yvadZdur4bvSkARxlngCoMRIDRTrREHThm0Cbn70SbBoM7Fmz1ecfWASK9w3+OTXHuJy4GzfTrLbV529YAvP+azftqw55jhH76ty56jPuunJV96XPGKyxVLgy6HT0xz7aUh9z0zJA4avPwKj11bRwzjPnc9piARHDrp0G44OAIGQ4k2gkQbohiQGsfTdPqGZiti68aAV14+4PXXx8w0a5xbmmBxpc5y1x6b5a6g04dOL6bTj+n0EzoDw9JAcrYnWOgl3LT7PP/5J+e5ZmeN+eUplrsNOn2fTt+lN3DoDSTdASSmpi+97Gpz0UUXv2vXros/sLAwH15yySUvNqSAvyYAj+NIhsHwLQ89+IWLO73k1x599FE3ii07DQPNYJQwGGp6I00vZfLzA8WpTsLLLz/Hu39ygesvclnpTTC/3KLTr7HS81jpO3R6is4Aen1DdxDT7Sf0h5rOwDDfF8z3IUoCrrlkyIbphP7A8KaXBezYoIkTiSMNYQT3PlXj+PkaG6dinj1UA93gsi2K63Zr/NqAxw4MmF9ocuWOJu3JZb7+tMuNl9RYHKywvNxmwwbDw3sUP/TaPo/scdiyzmWh32F5aZrrLh/w9WcTpuuTXHlxn/OdDg8/P0ndaXLDbsOl20Yg+zx1RLBuOuLcfMR9T7mMIoWUkGjDjo0hr39ZSK+v2DSlue4SCMMGS50GSx2flb5Ld6Do9CXdPnQHCd1+Qm+Q0B1oVgaGpaHkVFfQGYa84tJ5fuknlrjhkhpnlybpdOt0Bj7dvktv6NAfKvpDSX8Eg2FCECZce92NUaLlv/reO95ysNmof9Z1Xf1iY+tFz2SGYZ84Gv7IiSOP/cb82QPTp88s06pLgkggpMEYm443xmAQgAEMQiRIqXj0wHp+4b0ub3vlEj/w2iV2bg45u9jG9+rUfY+G79KsO/TqktbQZaLpMBgl9IcJ6wPNMDD0Rj5L8zVOnjCEsebU2RjfN4DAUwZHCgZDhcAlHji8ZIdg1ybDts0DgqTHFx5R7D04xRuu97nu8mU++AWDJxrs2Dzg6a8rNk8qZtsDaqpOGLmc70Gz5rBlveDJvSHXXVrnNdcu8Ed3DvHcFq+7yeD6A77ycMjnH2ry/JE6F21qsGNjwtxUyM7ZiKt2JCilcZQ9Hg3fZ27SJ4xcegOPZw+49EcOg6GiP5L0h9AfGfoD+917w6S0KsL8QHFu2dCY6PCzb5rnb7085JqdTc4stOn063T7Ht2hS39o/83BUDIcQRDYFSSM4P4HH3YbzenfmJndsPSaV7/0n3V6gz+aaDX+zwX4aDTAaPETxw4++O79z31letTv0fBdhFAICSDAKEzpvxHCINO7IxM8KXnm4CxPHGhw4PR53vbKPq+8YsRkq81Sp0GzW6M99OgPHHrpyR6OHAaBwygwjEJNGBmiyBAn9h7GHkaDVALXEdQ8wWRLMNWCDbOaLesHzE51+OJj8LUnXKSe4A3Xu7zksh4PPB8Rjtq84iWCznDI+cUmL79UMzs5oO74jGLFfDdCacFLLnVotAIe31fj1ddN8LJrejy+T4GZ4PorPH78u5f48pMhX3qkyZ7jNbbNKTZM15lqNZhoQd0H1zEoCdrAniOCJBFEsSCMIYiw3zFIGAaaUaAZjDSDQNMfQjeA+b7kfA8CPeK2a5d4yys7/O3XaeK4zdnFJt1+nd7AK1h7pBgMrWU6TI/fKEgIIs1wlHBu4Qwf/cQXpqM4+f991xtf7fT6g/e1mi8eyF80gA8Hywj0jx8//MC7j+6/Z10SdajXXKQ0IDRCSIQQ6V2lj6CkRgqbRXSUwVGauiuYH9T5yD1b+MoTXW6+aoUfvm2Fq3b2mZlssLjSoDf0GQzdFNjK3kNBEEmiWBDHdqk36dWkpMFxoOZBo66ZbkVsXjcgps+BUxEfva/G4RNNJv06N17h8PKruzy8v8Pd32hz0yU1tm0c8OF7BEr4tFsRK/0AbUAJmGsP6PY8dFznLTef5yOfb7DrXI033zQgjBa575kZoqTGS69Yx5tv7HLJ1g5feXzA0ycaPHXEY8u0ZLotaPgCz7UXoRT24tcGtDZEcXqxRoYgSoEYwjCE3kiwHAiWeiCcEdfuXuGHX7/Cq65ImG3XWe426XRr1qFJWbs/UgxGksFIMgxgEBhGgSYIkxTghlEEGsX5xQ4f+/O718WJefd33f4qM7+w/Idzs1N/8wG+sGJQDmLyeWnmz33mR/uD8NfmT+ydVaxQr7k4cYIUBiFASpBCIHOgS5R0UDJBSpEuzxpXGXzHUHMEyyPFUmeKj9/b5KFn+7zimhV++HUrXLurw0xSJ459BqMa/aHLMHAII0UUS+JEkmiBNgKBXR18T9OoxfheiOcGnFoMuPNRycGTHkdOTqG0z66NHpfvVFx/WRflz/PMoRabJxtceRFsmFtmqdvmqs2SWBu++IhPMJBMNmNuf+mIz94Xcfxsi90Xu5xZGfHcYZet66e4Zuc8Dzzd4+vPCYLQ47Kd01y21eeyLT0OnVni4Cl4ZG+DA4ebNByB70iavqHm2mMmAGPsxRonEMYQJoJ+IOiOBN0IQh2jzYgbLunyw6/vcvNVCRunfYajCRY7NXp9n/7IYzB0GIwsaw9HNsE0DNJVIUwswKOEIGXyII2bokRy/EyHD338K+ueOXDu12qNZvyf/ttdHzTqef79P/rHf3MBniQjELWbj8w98odm6femVbI823RruC2PMDKEkUpBbBlUSYlSoKRAKYGjFEpl4E5wHYHnajzX4LuGhpcwWRP0Apfl7hSf+Fqbe54asX5qwDtv6XDZ1hGjYZ8rdxq2blAEkUuSKBItMRm4pcZ1Eo6dMxw5K1gZaj7zQINTC1OY0GWqptg047B9g8NFm+HKXV20XOA9n22ytDTBTZc5XLmrw1eeEojYZd2UpNmIGUQe0kgwEuV4dEaCc0uCK0yDW67v8eDjdTbNetx05TR/77sX+MDnezyyr0l/5LK40mLnpjq7Nw546aU9vvfVPU4vLfGZB3wWBz7HzricOuXhKoGUEoEtWUg0RNqQxJqpmYirrxgQBBGXbQ14+y0B6yYU0y2fKKpxZr5Gf+gxDFwGIyctMVYMA8kwEAwDwSigkCShJgg1o8jY55EhCGEUQxgLglhx/niXh/d/Y/bGa6Z+6w03T0cf/FL3T/7ww7/Bj//QP/ubB/B/8J8+xPqZmvjAR39v58rivku3T+/h9hvrCDTDICGIXJzARSmNUg5KKXvPgS5xlMBJH11H4Loaz0nwHE3NNdQjQyM0TNQSpuqCQSjphU2OnGzyq38yDTpGxDHXXz1g54aQOAZtNMbYJI4UAqkEjuux77jHnoM1mjWHlieZbQjmZiTrph02zSm2b0zYvX2FRCzy259sc+z4JDdd6nLZjoRh3OMbz/hM1l1mJgyTrZBG3UohrSWdkWKpb1jsJHT6dV515QqP7hmw97hisl3jpVdM8pNvWeR3PgWPH2zSHxpWeg7nltpsmG2wbmrE9pkR/+IdA9qNDk8fgX0nJK5rUMoghAaM/Z+BOIYdGxJecVVMErlEsY8xDUahy9kFC+ph4DAKVS7fhqGwZcaBYBRCEFrWzoCdgTsMjQV5BKNIEEQwjAW9SLAcCrqdEIKnJufqG977Gz+5K37t61778R+87TdNY9M/+ZsD8Hf/5p9w7Y4Z5fziH93xvk/Pv+cbT5zitpdMcNHGLpds0fT6TQYjH0clOKGbMrSTgltZre0YXCUtazuCkavwXEngSvzQasB6pAkiTRga2jEEUbpsxoJRJAkSnyipsfdgk6f2QmIMFtpWG7sSPGVrPlo+XLkR2nWYaEqmWoqZSYd107BtQ8DGuRUis8Rvf3KCQ4cnuO4ixUVbJLu2LPPV52LOLU5w/U7JVFtT84b40scoQZxIhDHESchyv8a5RZfrLqvzkkt7PPB4jfVTgkatxXWXan72jkV+61Oa5061WOlrVnqK+WWH2ckmU+06U+0J2o2IuWbE9utCfDfGdWKUslIPwGAvqihSnJ93iGJFFCvCSBFE6WMoCSJJEEpGoSQILVBHoSAIM4bWhOljEJqUsXUKbAvuUSzoR4JuJOiEEAxHvGTnIu96xzIv232+YRzvg2cP3K/Pd2/85OFnP5RcdNXf+c4H+P94758y0aypZ4+eefvi2TN/9NyeMzWt1vOFRxq4juCXfrLD7i0ax4lRQ6urK3fHwXUUbqhwlcGNJJ4j8CJB4AoCTxFGkiDURJEhjBOrA+PSPYE4MSSJJtFYva3JwW2DV3AkuC74jqDmCxq+pNlQTDQkUxOCddMx2zcMaDVX+OSDIfc9M83KQpurtym2b3S5ZOuIRKzwxUcaNF2HuSlFqzHimUPYjvuthkGguOaSiKt3Gc6eSZhf9hiOGrzxxh73Pz3kwClFsy7xvTZXXaT5pR9d5N7nhnz23lkWu4bt6xKWOw6TbcVE06XVcGnWDTVf43sa30lwlJVaUtpzYAw2YaUFsZbEiSCOBVEsCWNBFFlbNowhjISViyEEUUIYacIScQSxIQiz4DUDNgwjQS+SdGJBL0ggGnDdtiV+8ScWuP16Qac/w/LC2VrAhg9pdfjvLkfTf/bE1z+WXPeKd35nAxxj5Pxi5weOHDv1ewcPHq1tbLmokWSJNn/xDUkYKr7vlg7vuLXLzERMb1jDdXwcx8N1dHpXeK6D56Zs41rGCT1BGAl7ciKV+rHSOghxYfvFiSZJrLuQmNQpSd0SIQRSWp3vpKuD70lqvqRZF7QbhsmWZv10wNxUj9is8PH7JR/4/AzrajWu3ibYttFlxybN9o3LfPIbhqWlGpdtUEy1odWIOHdUcn7Zx9sJQSSYm5BMTsKBI4blrubsQo1LdtR47fU97vxajZkW+J6HkpNctUvwU28+jyvP8xcPTPH8qRrruxHrJmMmmopWXdGoS+q+g++B74LjGAtyAVKUQI69sBMNSSKIE1KgQ5QYwhiiKLGkEKX2aawJY00YkTsyQWQrIoNIMIoE/VjQjQW90DAahbT9Ht//XQu88zV9XnutYKXXpjtoMAzqLK4cr6m6/956UzlCun+K5ZnvTIC/74OfItH6Rw/uPfxf9u4/3vZcRU0bJl2N1pIV0eSLjyq+8WyNs8sL/MM7eky3Q0Z+g24/xnU8XMfFdV3CUOO5Ct9VFtyRTaVbxhGWiVJWimOIEkgS6yRobQMurU3Ww5mC2wLcBrAC17EAqfnQqGla9ZjJVszc5JDZqRUe3Bvyobvr7DsyyY4Jl10bYMsGjy3rYfe2LoO4y8N72tSVy9yUYrIFk62AqYkYz3MQwl5cw8BjqRuxMjB0+jHnlz22bWjxssvOc/cjA/adatPwI1zlIcQEuzYr/s7rFrhh93k+dHeLh5+dZLHvsK4dM9mIadQk9ZrCdwW+K3FdG6soRWofWpQbbNJMa3Kgx4lOV7fUWow1caIJY5vAiWKTr4hBmtAJYitHhpGgFwu6MQyHCToeMVPv8q7vW+T/+YEBNa/GSrfJYFRjFHgEkQPCobN0rB2G/PbW7bu9fU99+gO7X/K3vvMAvrTcQSn1E+/5wCfeffDIyRlHCRIDroK6Y9DGIBB0ZJ3OSPJfPuay59Ayb3l1j1te0mX97Iher84w8AlCj8B18COH0LP2XgbwKJKEsV12ozj1tBNS64+UuSXaUIDbJilT5gZH2YSJ5xpqnqZei2nVYqbaARtnu5zrDPjdz7h88dFplpabXDwn2LZOsHmdx5Z1gp2bRjjeCh+5z+HwiSaXrpdMtSQTzQQpA07NG3xHIgUYIwgjh+3rujxCQnegWO4azi3VuXRLje+9pcOffcXj6Dkf14kQwkWbJlEsuX7nMtt/sMsXHx/w4S9O89jRJpunBLPNhGYtoeYJfFfguTZWcVRqtUqR12QY7EWmDdZpSSzgM5DHiZV01kdPAZ7GMWFswT1MoB9JejEMQ008CNky2+U116/w1pv7vPEGjSOaLK3UCQKfYeAxCl2iSJFoW9bc65ycCYItv3b5dW9To1HnfbXaX83Erb8SgC8treC5zt+784v3vfuJJ59bhzFIKXGUwXMM2tiUuwCkFHSFTzdw+MhXfe59psl1u7v84G22Cm5m0mc48hkEHlHkEsYuYeTkgVIcWy87SjJtKUkSQaJFobW1IFclxjK3FKCUdR1cpfFcje8l1P2YVj1gdrLPMBrylWcMH/3qBA8/O8mU53LVZsPGacn6GY9Nc5It60Mu2rzM00eHfOb+OSaUw9yEoN0UtBu2tvrz36jR8qy/rw0MA4e3vCLgcw/ZmphOX3N+2WHLuhZve2Wfh/f22HPAo+nHKCksyHWDUWi1/t95bYdLN57nI/d2+frzkxxfrrOhLZioGRqepuZoPBccJVAyyynY752VH+lUqmldrHBxCnRLEBAlgihJgZ1Y1h7Egn6CjXnCkGZ9wPe/YYkfeF2X6y/VrJtyGA5brPR8gsizzB26BKFDGCvixFqyBjh1fM+6enPDu3fuvlkPB5331xvffpB/WwHe6XRY7nSRSvzIl++5/9c//8WvzHS7HTzXsqltTDA5uIUwKCnwpKAnFT23ycmuz+mHGjz0zIA/u7rL21874PZXjJiZ9AgDnyB2CSOXKHJzRyBOFHEsibUkSQqAa5Myty5qykSaSFJSp+6MxnMTfC+i7oe06kMShnz5ccmf3DPJs0cmEJHPjinDxknD7KRibtpjw6xk01zEtg1dTsz3+P3PNomDOlu2CCZbDu0mtBsRwg3pDptMtgxCCIyBKJZM+4pYx/Qij94gYbmrODVf54qLWvz096zwa3/qc2y+iaOi9MJwiOMao1CyYcbn+ou7XH1Rn+eOneKjX61z92OTnO7UafqKlgdN15KJq8CRNp0vRLW6TgNG24su0XaFjRNh/fNEECY2STRMLGsPE0McxegoZKY24I23rfDO23rcfFXMRN0hjGzZcRB6BJFLGLqpS+MQRGliLbJklCSC5eUuTz9x77ogVL9+0e6Xxovzp/+n6zdpt799QP+2Anw4HDI10X7r448/8Ttf/epX2+GwR7OmiLXVw/bg2oSKzRgKmxIX4EmoKUFfeQxih/NBjb94qMF9zw546Zf6/KPv63H5ti7rJhXthkMYeYSxSxw7OcgtuCWJlmgj00ItkaffLXNrVJrid5wY34txVUh3GDHfjfjNT9Y4cn6Kx/dMYrTHTF2wbtYwOyGYaStmJl3Wz0g2zMRsnhswM7nMF5/QPPb8JFdvEUy1JK2GpN3QNOshwg3wfQdH2b9vDCSJZBg4DEcRsRb0hppe37DUdTm72Oblu/u87IoVPvKlGvUlhSMjC0jjECceYWR7PGcna9ywq88NF/d55DWnOTYv+dDdk5xfaXBy0cdTkqYr8DIZJm3gmRN5JlWwTB4bQawh0oIgSZM22kASQxwhVcCmqSFXb7fn48bLE9p1hzhu0ul5BKGXrrBuKiPLclLlctLKSEmSKLqLfR584N6ZQej8zhVXXbs8Gg0/8+3E5LcN4IcPH2T9+vXq4x//+MX79x9oDwddGg2XKNKo2BClS6SQlsmENEhpUHFqz8UGXwkajl0GB67PMHZZDBvc/dgEDz4/pOkH/N03ddg6E7N905CXX9nDEbZFTAgrV2xW0tZK2za2FNwYhDQoYT1zQwwy5rkjkkf3Otz5cIvnjrcI4wYtRzFXN0w3DVMNY33wtsP0hMPMpGDDdMymuSEb55a579mA99y5jo2TDnNtaDcV7aag1Yip+wEP7leMQge3aUFljCCMJTVHce2lQx56ZtIWPg0TVrouCys+5xam+Ok3n+PkwiIPPTmHKwERoYE4dggjlyCU9IcOU60ak+0mL7t0wGuuHvCDt86z94Tmcw/XeHhvnf2Hm8TCIQgUg0ihSjU+kAWeaU7AaGJtMFrjioQJL6RGxMuu67Nz44gtsxE/fHtA3VM0a5axOz3PrqixQxg56edLvfZUPlpnS6YrrsjvcSwIY4feoMvDDz3YPnf23MXf87e+Tx08eDC5+OKL//oAfO/ePbTbU94Tjz/2Y1rH/2V5eRHPdRCxASNSYGOrAKVIqwFtV4qSBpUYXClwE4OXpEBPBIEDw8RJ7zV6vYRf/8gUJo5YPzfiim0jZiZi3v7aIdvWhUSRSPW2hBJzk15cUmqEFHzi3jpPH2oiHIdjpxucOtegVldM+ILJpqFd07Rr0KoLJhqKdksx1XKYmYTZyZj1MyM2r+uSmBU+cX+bYb/JJVsM7Yai1ZC06ppWLcZ1Q774UI1gIHHX2W7RTKI064o3vnTI157Q9ANJf5jQHTis9BzOLja4fGeLt9/c5fHnGhxbaqGkBqJUL7tEiXWTRqGkP3Lo9D1a9QbNesDlW0bctHvEifMdjp5ZwXETnjrs8GdfbSCULVxLyzWLm9GABmOIwoTt62Pe+dohs+2E3dsN62cgiV2CsEUcuyx309UzUUSxkwLYKWKi/FHm7pat+yFl8KzqUQCKxcVFNmza9l+eePyxwY4dOz+wb++ecPdll//1APipkydZWJi/9NSpU7/72KOPSiEkypEYNAiJEDqVBwKR2GVSSeu9qgScBGJl7GMiLMgTQ6wFrcQQJoJAC4LEJdAusYb5fpuvPq0xJHz6YTuyAaPTe5bFSy2yvCJRIpUijhykdnAdScuHnXOGpqtp+JqGDw1f0KxLWnUrhyZakqk2zEzEzE0FbJrrkbDMb/55jQeeWceuGZhqpOzdkLTqMY16SLMxpF5v4CuJSlcug5UDUeQyGgqGQUIvUPRHmt5Q25a5psfJcxO86oqAn33HOX7jzxyOr/gIoTEmQieGKHYJI8kocOkPFa2hQ7Pm0ajXaPgNan5Eqx5y/SUhnhtx4yUxP3zbAEfFaRJII4SpivJU0mktEULiuwrwGAUOi8sOSZJJQbtaxkl2l8SxJEoUcSwsyJMyqAtAx6nLFSWisHO1IEkMjz/2qJRC/e5wOLw/CIJnvx3Y/N8G+F/8xaeRjqofOnTwjsOHDgrHkeRqW8k8qJPSEEuDlBCn9pxKn8fKRu9OUlTBxUka1af6PdaCWBsiDbEWRFoSGUmiHSLtk6S2V/mWZykFOEJYKaSgVjfUHENNJfgu+A7UPEPdF9Q9SaMuadQcC/CmYLKlmW7HzEwGrJvus2ndIu+5U/Phu9ezdVIx29K0m4pWQ9FsQKOe0KpHnFnUHDrjU/PsSgVZpZ9gFDrs3KDZMDuiO/IYjkzK4pKVnkOrXqPVmOSHbzvP4TNnee9nNuNIB4Mm0Yk9FrFDECqGoS2KGtQkjZFD3Xep+wmdno0xPDfBdRJcN8GRtlFCyqxy095t6Yogm1CgtaCj0ypLbeOaJJForVIL1oI60VZPZ/cklha8qaMVp05MXEosJSmR2VyFPdfa2JX3mWeeEcPR8I4dO3Yc+uxnPz18y1v+9zzy/22AO47rLS7M//ziwvmfj8JAOo4N7gQCLQxC29puK08MiTQoaUhUxt4WuNkXtan09HVqX+XvZWn2tFLOerkiD5TKmhtIM3l2xXCkxklryF0FrhK4jrG+sSOo+ZKaJ6n7inpN0apLWg3DRDNhshUz3Q6YnRqwbf0iD+8P+Mi9m5iq+axvadoNYcFdlzRrmmYtptUIeHgfPLW3wcVzJq9nz9Lmw0Bx427DJduGPPLsJIPAMBwl9IdOCnKXRq1OvTbJ9796iaf2n+ehPRvAKLROLBHEhjitwgxCG7g2RoZ6TVHzNL7n4nsJvqNxnATXseUPSmm7BYu0pcEIG/RntFAE5yI9vhbkWovUoZIp69rncWbLJhnYLaDzbGkZ4KlLk5/v9JzbJJxgMBzJM2fO/vtms+m1Ws1fBsIXDeCDwVCORqNf/PNP/Ok/W1o46/meypMIUlgwSi1tcCeNBWkK8kRbDzpJDE6aOs6AbT3sLPuIZecU5DrNxGV/x7ayUTo94wAvEjpKphlLha1GdGzDgO9KfE9R8xV1X9CoC1p1Q7uRMNGMmWwFzEwM2TS3zEP7hvziH63n+MlJLprVTDagXVc064pmDZq1hHotwnNHdEa2WMxVNvbIbhnrRbFHux4xiHXeITMYJfQGkk5d0ej51PwWOzZE/NKPdfgPH5R8Y896DAptNEmiiZM4TaUrRqFi6EvqgaLmSXzP4HsK39G4rvX7HWXSis00yE9lihCm2qCbpvazCzJj9axuPnueZIDVMj93OcCz85rYVbdCYklBWjopSiiMgRMnT3utVutf3XrrD7rD4eDf1uuNv3Q6/y8N8NGwizHhL+955v5/0lk8UavXJYKUVVNgSgM6EUgt0GWAK5MGSxbgGUPrxL6XpZF17tGC0YYkZWszdmcM4EIUdylJg1mBUtYuy8ttHYnv2QFANd+OZKj7hmZN02oktBsRE62Q6faQTXMrPLR3wH/4wCz7jk+zfdo6LK26pNmQlr3rhkYtoVGLiJKQP/5SC6kUrjQoUdiE2mRM5/J33rDMXY+F9EKfQQrw/lDR6ys6vkPN8/HdNru3xvznH1/k331A8PVn16ONJNE2rR7FttAsCDVBzZa7+r6g5gp8z2Y2PcfkGVtHaaSy3rgUJjcASnmg/IAWx1vk8ioDuC4VrmWJNQtYkUpLUQLzGsDWWSa1TFy293bv/iO1u7983z+9/fWvFSsr3V+YnPzLTc/6SwN8/uxhjNEvO3n08XrNC3C1Kmo+jP1iSoOW5NJCJYJEmSqYVQFurUwhP3TRfqXTf9MYkx/wtNwZM/a5MoBLAUJap0aW2NtxsroTietKW7/hCWq+nXnS8BOadQvudjNksj1kbrLDw3sH/OL7p3nu2CxbpgQzzZI0qTk0a7Z+pV6LqfshrhtwanEKVwmU1KktVwSZSSKJY8XGKUMcR3Sjmu1xDGxvY28kqQ8UNc/Fc2u4zgSXbYn5z39vnn/9h/DQ8+tSeaCJEkMUJymTawJfUwslI0/lEsx1wXWyNj9pcwHSxkZZjJQtMmMYzzOPRhcFW1kCrSAiQblSs5AeVWBrQw5qS2amdI6Lx05vyL33P1Lfum37y+S44/NXDfC9T38eTNDY+/QXPR2vUK/ZmoVsico+cGLssqQyJlb2qtYZo5e+rHZSlh67mrU2VTmSMcoFPpsURRGVlLYUIAO3knbWdiFPoOaC72nqNUPdt/q5UY9oN0Imm0Nmpzo8dmDEv3vfFM8cm2PTpGKuqZmoC1o1SaOmaNQF9Zq9OGyqP+ShPYL+yKOmSNPlVoNnTQiJFkSxQ7OmePmVPR5+rs0gsjJlGCQMhoqer/A9hed6qX6e5PKtml/5yfP83B/A1/ess8G21mmzdNGDGXgS39OWvdPaFDe9uO2dVKYUMi5rF1wb5NlxF3n20/rnFujl1bZczJWTlS6vzvYcmxKT57+TYiKK4ez5FT744c947/zeNzc+/NHPDX7o+7/rrx7gi/PHmJjeMvn845/4/SQavVoS4zoKITSJzJYo+8UzBtdaFF9WUVnatBJWf42zdgnQ2hTjIzLmJtXe+ckQtqBIyBTcaZGRygEOKq0YdB3wXPBcTc1LC6z8hHoqL1r1gInWkKlWlycPBvy7903x1NF1bJh0mGtoJurQrAmadUWjbrdHseydUPNjWo0R9z3lsdKpMTVVpMkzwGTBWpQo1s0obntJn/se1baLJtQlkEtqrqTmOriOh+PUkVJz+VbDu3/yPD/3B4av71tHpB2irAIwMTmT+5HMqws9R+I4aRGWFCgnOzbkny+7CDOpIrKqNIqE0Phdlx4zkGvNGCtbcJu0XLny8xKhlaVLnEAYJvT6w1fv3X/kD//+T3zfz9x04OjKpZfs+KsFeDg8wVJ49ud6y4d/YDhYRCkPNyucEqC0QUuRB4Y6DRhV5fX4wRC5I5IVABXgvgBzp+I7y8jl2jtrVpaF7s4qBh2Frc9wDK5rG4trnqbmJdRrMY1aRLMW0GqMmJ7o8Pj+gJ//g1mePLyedZMu6xoJEw2Tgjtl75qk7lv2r/kxDT8k1gG90EcoiZsxeK7BRcp0qXccuTS9kS0XCGtMZSAfJQw8y+C+J3EdB9fJNqA1XLXD8Gs/c45/+Xuar+9dT6QdgkQQJjplcUEt0viuwXMFnqPT1cu2/Kl0Rct6XjNJJ0vxC4jiwizHOmPgzkmoREyFvEzfKzF0Bu6sdLcCepNJGlsVd/bcIs/uOfIDX7rvqUNhGP7rv1IGP3v2NI32xu37H//9q7srZ5FSgTGoFFwqCwR1IUvslxGV4LO42osC/HE2yIKa8XqSwuo2BWuXg8psuU07dFQaTNmWNwtszzF59WDNTVLdHFGvBUy1B0w0ezy0J+YX3jPLE4fXMzfhMFdPmKgZWim46zVrJ2bgrvsJNS+m3QzZc9Rw7+NNPClxle2sKe91k53EKFHE2uGW6yMuvqjPoeN15howCo29BwmDUcrCjsJx3LSNz3rXV26HX/mpBf71H2juf26OUVQnSCRhbGjEVrL4LhbkTrZ66by3VaokX+GUFCWAixLIWaVXCpCXiMeUV92CvU3G4oZcbiaVn5VX7pIOT3/mOA7HTp7h3gcevfqXfv4nt588efLYli1bvv0A762cptFs7zhy6KH/dubc6K3dlZi6L9KTZ9DSAlmZMqBtxG2vbFEAWY8tadlB0qIAOGMuySq3JGXucXALg1SUOvNtd4ubMrfnaFxX47sa34upeTE1P6RRC5ieGLDcG/C1Z+FX/mQDTx+cZTYF92Td0KoLmjWRe+XWedGWvT0L8LofECYJo2GNmrIXmRSlpZ8sWyjSQNOxWt4JCELDMBIlgGs8L8FzHVxX2qkC0s0BjoBrdgp+5WeW+fU/jfn63hlOd9qMmpLJxNCKDbV04oDvmtT7z5wUU0wsSKVKBvD886YfuozzXJOnJ8Xk58pU2dxQBXfK4hnAs99PSr9XljrZvyWlgHhIMlx+61fu/Xpy/bUv+adHjp0+unP7pm8vwFeWjjHo1W9amd9zx7CzD993U3Dr/KQZaXL2texs8iXZAn1cjmTLl1hTipQBnh3isirMToId95Cxt0nliUmrBi1zO2n7m5eXx1pw+14K7uk+88tD3v3HDT7zjTkW+lPMTUjmaim4a1Z3N9LAsu5LGr5JGdxq75ofAiH3POmxHHnM+FTqsRHlJd3q8DByaPsOr71uwEP7QnqRz0Ta2DsKNV5ga9U9xwLcUQYlXYS0CRoMXLZV8hv/qMvnHhryy+9fz8mFKYaTDpOeoBVrGjH4kR297Ck70MjNAk0p8iA4eywH6uULU4i8V6Rg8Yx8snO5Cuwldi8BvrJi6+qFoSsthYCUPPzEfiam5u6o1Zp/3O8Pj35bGXw4HFKr1S45sPcb//jUiT3UfYGQOp+mlMKtAGfGxKmllAHeZLIkvwjSC0MXXzr/dzKaqDgmme4mZ5Ys3Zy5ACoDuDI40gLbUVlvZ4LnJnhuTM2L8L2IVn2I4wy476mEP/x8mzsfWEeo26xrC2ZrVpZYCzDzyVV6Fylzl9k7wnECHnx+kkHosLGRfZ5xBs9iEVuUVHMVL7t8SKwtwIeRSEcxWG97FGgbHDrpbJjM3sunNQpmJwU/cGufln+a939+yNeen+FsVGdQk7RjQ9MxFuROGocok8YlJgW5yYct5bXjEiQFi4/vKFgGeRb0V8hJ2w6inJUZB3RZ2hSAL59zIdJ8CoonnnqOm67f/Y/fcNurnhgMBgcajW8+Eu6bAry3cpQ9z3yFen1i0/y5g68ZDTu0m9bblbIAXPHFRFrvlAIYkTN0FkTmjF26KLQRefBS9l/XSlFm9S2FNMmycrZiUEnyyVcZc7vK1mL4boTnRdTckEZjhOcN+JO7HX71f67j0Pw0rl9jQ0sw7Se0fUPTh2baYV/3bbazliaEbP1Kkq4EVp4sdBP6oYenFJ40eYCZfX5DcZFnqe0wdqm7IzZMDlkZtBhGIh23ZmMF101Sm0+ldqfK/esicLWVj2+9uc+NV8zzKx8a8eEvzrEUNxn4Lk1X0nZsDY7vgKfImyGcLOmTrnwylypFhrOiycdEeRXoWYMz1dU4T+KMydIx8Oe/X/ortvtKsrjU4Ymn974mipNNK8udA3sPHOeyS7b97wHcmIQrr75px8LZPe85c/hpJlv2YNsBM2kNQ770iiI4zIp2MrbWYz/PHBOK55RAf6FbfsBlNoizBHBp8guvYO4kBXmM51hJ4nsBvjvk6LmY936uyafun+HwuSnaDZfpGkz5CS3fpKn3DNwyBbfMk0K1VHv7nr1w2s2ATz7ocOBYnZoSNmOYOSgUKM/HOBirw6PY4bLt8N039vjDL8zQbzi0IztQxw/TuEFpHEemk70ogdwtnSy7KmyblfzCDw24eudJ/uDOaQ6fnWAprjNwHZpK0EiB7kljL5zUZcpXv+y4ZvYhVp8XHnn1BJXj/opEGWf0C9iL2e/kJEchTbMLS2kQSO558Hl27778Pa95zSvftLTS/aZS5QUBbkwEOKyc/8aWsPf0rqZ3DnwvB3Wl0rIETr0KyOOgLlg+Y/3s3ygYoUzZpqIDM2Dnk2az5gmpU9ckY+8E14lt544T4/sBnhPQS0J+9+Me7//cBk4tTqJVnekJxbRnmPA0jZS5G3n6XqZ1Kqk0Sb3zHNyezV4GUciBkz790GfKT12cLOmUMWB2IZtSTUrk0G467NwSovwRvbDF0BPUIzuDxEvllZtKFCdzPYS6QPCqmJsY8NNvHXDHLWd5/+e6vPcTMywMmwydGjVH0XAEdWXwY2PZXFqp4siivCHLbo4zOawhV0qYH9fnGYNXWV1UAZ6S3fh/ByULGMX88S5f+fqeXcKpb3nL66872ulpJloXznS+IMB1eAzptudqNf1xM7zXnWwLkkSnpY2FfCgDtQLmcmWazop3MrYu/zfZgSmu4BzbJYBb7W1XDZWlmEUZ3BqlEgtwJ8FRCZ4bUfNCPDekMwp58GnJn9zd5hP3zzBKWniex4wnmPQ0Tc/Q8A0NrwB3zZf4vsRPpYlNDKXORApwz7WZzyNnDF97rEEYufhNsyrAzI9rrsFtlV4YKVzX4bYbe3zky332nWwyrNl5L4Fr8GJwI40bapSS1reWdjBpPtwnA3jmsWtJw3dYPznkX37/gMu3BXz47haP7plgfthkpDxc16HmCOoSfJnaqJm9Kk06/JTKnXGgZ/9nqsDOzmc5ntI5U4/JkWyVp/idcbmaSdww8fiTLz7t3vqaGz5+4szSSxZX+vN/aQbfc2KDXFl8/KbR0icmrtl8nthrEcW28N0GjSKXIlVQZz8ra+s00EzZObsogPx317rZA2mQGdDzlLLOyz2t7jY4KrEAV0kuRxwnotOPeOBZwR99oc3dj0+w1Gkh6zVadcWka2h7moZraHiGukfK2pa5676k5ilqnqDmkVbo6RTcGt+1+ls5AftPwqlOzSZWUn1bTZwU+tL2QVqQx1oShg7r24JLtg555njMIHLT4TrghVjwqSSVKFmiBsbrNHJ7NrUho8TWh7/ztiG3v3SZrzzR44NfbPPonjaLvQYd6dH3HDxlm799aftjHWl3qctqeaSw0kWUcg9ldi0zedVKXK2vdU5uVUs4NyAo6XRsyUdsbK/oKDHoqMujj39s4obdt9/0ksuu/gIvMDzoBQF+/MxJ/9y8+3sf+sip5kf/wwDPFcW22Drbv8a2hxWypKS9s+39Ss+zC4EywMfquKsAN/ljuUDfyhKdam6NkglKJniZmyEj5nsx9z3m8PkHWnzmaxOc7zYRtRpuy6XtwIRrO3nqLqnsgLon0rtMS05T3e0J/Iy9M4A7MZ4XU/NCjIm453GfY2fqzE4L3NRlym238pfKAu285FQxDFy2rxfcdt2AT30jpB+5DCNBzTV4sWXxIDKlVUrlfjVCVmSKvcuiUUFbv73uB7zz1iGvv3GRT9/f43MPNLjv6RbnOw2GwmPoOTiuwhHCthBKiStMKrUMClGShuWU/tq3cYDnEqUsT0rsnJD64kCcvZd65YkxJDqGJMSjy3fdcKq5dcNtv4c5fjkw/EsB/PFnHmd+qcfZpT71ZoKIhyiZEMcO2qh0d2FZArVcBXLMGMuTgju/0tc+PBn8c1mSA1yndqBGpAB3nATPiajVIkZBwr5TcPS04qNfmuALj7Y5v9wEt4bTdmkoScs1tBxN3TXUXai5Ftw1184ktGWmsnQX6c9NCnKdg9xzbXvaodOaZ4744LrpMm9KKfqKBVFhryRvDLDjnK/aGXDFlj57TzUY1gSNWOBHhkCRWns6Ze/MTcksyEKr5D57akVqrdLpAy6j0KVeD/jRNwa85eUr3PVYn499ucHR0zX2nmoQrvjEvsPIcZBK2nQ+4KSPGZPLtFNKZPmIbwHghlRCpRdiUgJ+Ykod/ql1COnkX6PBJJBEEAcYE6H0Egvn9k6qib/3t5e75g+n2mvj6IIA18EhEUX9f/yVr/zabLIy5NG9DjddGuLXYupKkUQOYajSEQ2qAHba9FsGehngxaat5K/XZm2TB5T2edaBYnd4UDLB9+0k1ThJOLsIX/qqw6GTde59uM6p5TqHTjfB91ENh5qjaDqGpqOti+Cmg/NdO67Ngji7y/SuUoCTau4U3G6C71r2thdWyJF52HO0gSur9mAuUSjZqRl7ZU6KlulsF5crtg+5ZN2AZw/HDGKXVmSbr73YzgRUJYBLKRBSVpgciuW9qP3J6s9tD2WUuASuR7se8nfeEHDz1V1OLXe55xGPwyd87nq8wenFGsnQRUuHyFMIKdP+2vTvkWY8EZXvtwrgsEpLG8pa26TTtsomeNZXm9jKvcjehYqQKuLGy4bc+1SND913aPIf/N3ez/pe+P7Sn/vWAC6Sj+MS/8DuLUeb7ztf4x+8e4YrL4p4zQ0BV+yM2TgVcfGOAGUkcSiLJTFn8SrIM2CXHZK1GTxjhEKOCJG1WFl97foJUWI4fELwzGHFlx5u8OwRj+eP1OkGPkHog+uh2q7t0FfQcDT1kg/sO1mdRlY2a+vC/VSWeJ7C82R6AZhCe7tJOnTf6vyaF2F0yLklSWB8HEfipbNeMpttjMBzkCem2u8Yxi4Ch7npEKlG9COXgSOs0xEVBWOO0pUMpMwyXwDZsCMERsuCybOeyUTiJiofPzEIPDZMhWxbH3H9RQHDcMjfPdLh2aMeX3qoxjNHahw+XiOKFfgKIxVayNKXS3eWrmiVogCu5JSXbLLsUWfrmWXo3BTXFtyRxjEJu3aGbJ6KuGxnyC03BFy5K2LPYYff/uQxzqx8Ase58IbdawL83e+9k1/90IKSwZfF/Y+1+eLXmwwDxdOHNXc9nDDhxWzbHHLVZSG33xBw63UhRgs811BvgtHpl9aCOJI5i+dyZa0FzZTYWtp54EIYhNREoWEwssA/elLyp3f7DCLFk8/XOHjCZ6HvESQeOB4oF9VWeFJQV9BQhprCjjNTaeGRsqztucImPcrgdiVeKkt8D3yP1DWxKXPX0XhunGZEI+q1kPPLCV/6eotOz2dqQuCkXrws4WDV102JKg8ItSQIFLMzittfPuKuR4cc7zQZutLKFMfOjnGjzLNOPXaZWLuQ8qwTmf8NbZzS37BA9xJF4ihiVxElDlHkWivVjWh6ETdfFfOyywPe9poR+09IntrjMgwVH/5SgyNnXRCSwdAhCVVWvolxyqK8TGBjXxpTeRSxQWhjJzAYTb2R4HoaYRJe+8qAN9wQcOXukO2bEyYcmJ0wIASXboxx5TnmBw+J737Ny9Qf/vyfxrW5H/zWGdzI2d/9g49NXnPonEBLBQ2D1pr5oWa+l3BkKeHrzyX82ZcjZqdijNZcd2nIO183IkmbH+YmNddeFdCspaydmfdrrxn5cJ7OQPDU0y6LXVu19/Ael8/eX2MUKUaR4sxZDy0cIuOihQuOg/AdHCnxlKAmjfV4FfjK4Ctja8Cd1PN1Cub2sr7MHNwq7dEUOXt7rsbzsgKtJGdvz4tQKuSrTyg+9Y0WynOs3VbR3xdm8MwLtzrcjl0YjVze8oohn3mwy4fvmaAf12imOtzNdHiUJWVM3i0kRHYlZWVosupO6EKTx4kkdiyTu44idhycOLFAVwlK2UH6U7WYV+yOefnuCCMC3n7rgFFkx7n9xf0+j+zxqPuCha7iqWc9ugNZ7I73gqGnrSRs1jTXviRkdjKxjS+J5p2vG/GSS2KMtviZngSFxOCgE8VgYOWwEPDmlyZo1bnGnZz6XYP46W+JwRcWu8xMt9r/6Xc+vTsUvnL9Vlrfne5V6VjBr3VMoBPOdjRnVxIwCfuPaz77VXslGm2YmEq46ZqIVk2j80KDC91EOvFVsNJXPPqMR7ejkI4k0JLAOJaZhIOdC+wgpIOUElcKasp6ub7UeBI8lYJZFTP6LMhF0fDg2EaArPG4DG7L8GlZrZsxeFK6x/hOhDEhpxY8wqCGPyHx0rS3EuQ+sigv4aWShqx0IWPWRCvCyGWqpdg6G+KJEcPYZxgL6o4dgpnVkGQJLSXL5a0y/1v2b8g0+aOL7KnWpc54mVY0JmneQKUbD8REcYKK7JgJRyVIFbNlVqcrhubybSNCM0Q6mk5H8OgzDisDicpcSyFe4FzbkthmTfOyayImJg0msfFbXYESMjUwHJJIEmlFolXq3Kn0grUtkkbUVc3Vu2e3/e12HH1X13Grcw1XAfzU2QXOLyz/2qH9h291ox4bmoogwYJMQ2QUiXFAexiTDduxj7HRdLIJSdLQXTGc+WppSXqhW64jBUYIdLblAmnNqVBFkCMlStiZe760KWdPmnQLEpPOPykYLwO369iOerv1Hjm4bVuX3RLF9wSeQ15iahk8ZXHH7gnkOjGuG+H7EScWNB+6qwmOhytFEWDm8kSsYvCys5ANCbVgs0N1wsjlh28f8un7hjx/rkU/cWnEdlNaWwVoik4cleUEyD3q/FhmK4WWpQKv7K7zWhjHUbiJnZfipkC3ibPEWrDKWrA2uNfp4KAERxiESZhtaL7rlQZkktu6pNnuC5J4JlkTFx1nF6MkigRhGs9pI9M4QuZuUBazZAOIgtDgJ8durU8d/zVj4n/wTRn8Y5+8GymFd+7MGdo1Q6QNfgJhYgi1INQQakEkBbGRaYljFgVn0a/OQZ24ZeY2Y9+ytJTZushSqaDV8ULKvAVNCfCETSt7wkoBR1J6zJpqS4VEDqU5KOR7/GRd9QXAZS5bfM/kLW2ep0uDc2LclL09J0LKkGNnBfPdGsJx8CUVeZKn50tJkexSL0oaqOjjOFGEsctMO2D7hiF7zwYME4dRAn5ix9u5carDY3JnqUihq0qnQpFFlKWG7tLIh0TjJJpESZSTbV+u8p3s7JCgMrA1ShSTsezf1iVDoDRMKD3PVZyP5T8qGe2q5VzMYykMDJ1N0krs/MMgVPSDBSJ9l2c3E/smAD97+oQtbmFIq5YmFwQ4AlwNXjptKjLYKVNGEKeGvEalllC2oWrxWOC69LysGfPa7syCSsc9ZH9bWGfCkSav8cie5++lZF+UgpI32HpKWLBXwC3to5cBPQs+ybcn9NImiUyiuI7Vp54XERPxuQfrnJuv404ovHINR9lBYYzMKkVHYiwIVIwCO8H2za/s8+DTI7pxjYHjUI81YZpOV7IoiMoKzizQ8hq8HER5I4EhXeK1TZ4o+zcdLYiVwElkuoudLXvIgF4A3BRATzPJopSbqAAcbL36miAv3hkvzquAXFeBnqQThGNtJxKEkbJTeoOEpf4Z1lIJFYA/+MC9tJr1V/35Z+658fz5BXyHHKAyrehSKcBdk7UepVthkIE8PWlQSs1Xc6lrpXplekqyRILCAjub3ZGBXclC46oM2NLuJ5+NQigDO5+DorD9iGsBPAs4M93tZLLEpHq7WkvuuRGeG3K2o3n8YB0cDyeVJ06pQCnL9okxhJt0TnrO5PnYhWL5jSKX6y4OmJkc0lluMIgVDQVubL+LSuzQUhWVAW4bUPI/lY2QrtQEmVTfCrTSJFrgakGiJInSJEoQpyCPS8VrWTmEzByiDNRpsCuEQZJuYVgqzsqkympfpZwXKQO8nCgsgbwcM6SzELPxzP2hQEfNGzfuuPlVX/7yLQ+87nW3rA3w+eWATl9/V2+krx2MIruFnzQYZT+IKGWwEpN2zBtDokVR2J4Z+dnVmTHWBQAuS5kwQcpIFKAu10FkQzszCZCBPQO5bS7OOlWsLFF590oB7Kz51rJ3qrkdcr2dWYKWsQtwu3l1YoQg4s77fR58toX0HTwp7PztvIKwNJ8lP8Hj2czyaLTME7cB1XDk8vIrh3z3zT3ee2eLMPHpJ5JaYvfKcWRRrZjLFFkMOi3+1IWYHLQj01EOIgd3oiRKacvoUiKVKdmeJZBXSiaq7C3LoB4D+hiNU8ioolapnDTUqZeflRbnLlC6Q7UxEkFAzQuvbXqd79JO/MCaDH7g8EmmJpq3//GffeWHntxzliQROaAyFs/KPqXMmkpTtpalDnhK9QaYNY2TatmlqbB4Xv9bqnnIyzdF1rUzDnRSBidvw6qweNoN46oquO04hTHmTns2vbS9zXWyhoO4dI8IifjYPW0S46Py7GU5wCz6GjNno6LBEaXG2/REpnahXYodBC7vfO2AP/5cwIqOGCY1honAjclZXEqDjEVedGbtwnEtKimsSVECuSBx0m53lYLcMSht5UoiDVJpYilTx0YWgC6xeM7gGXOLUvq+DPDqNV7kf/IqUlH6jIVMMaaovKwkrVJirdegWTvFbPuiH9qy64339jsn72pObKkCPIkjgjC8OA77u8Jhj1rNtePXJKj8s6VzvfN5J6UeuxJj5zNMqt+jegGnB0BmIM8YfYz5MqZeNWcwf17M9sj2pFEpuJUaG3aTAttRonBScjvQdtzbxmSTb2GYMbdTYm/fDXn8oOTA6RpGuSgp8aS2kkqUJUqxNI27KNk9myyQNUBkSZ8kUUSxy65NEVdc1Ocb++tEymMYC2oS3MTgxMLKuWzuepzqcCQCPYYlUWJxUZJGxZyaJJ3g6yhth6NKg0qE1d7pCOiMvS3QZQngRftgNlOlfF7X7CHIHktSpVhtiuORP09EOkwqm3pb6PZOd0SnG+5aH4UXR1Fy1yoGH/Q7GB3iyZDJlv0Ho4yBs0yoAKENWqQskNVWkBXNFFpkVQH8GMBXafCxmg05xuAZUxeMLorueUHe6ZIxebbvZXn77wzg5eE/ttueHNh5tjJn7iTdLjwNLp0IQ8Sf3dNgcbGO8B08Ce74hbhWgFnxwcvd40Udd64ztSKKHGanJe+4rcfjB9sESY2B8qgnVotn5axKkoI7Wyt06olnYtGy+CqWTKcdlCdROZqUKbMVyTZvK53VAsk8yWRXDCosLkqEVTB5lb3XVCp5bcq4VKEUcFYzsnmdTSzp9j3qCwmT88tE0Sj/t3OAP/P4nbiOZGVhhbrvMgwsAxmZRojKHispqt3PFdYuf9AxkOdfbAzYRRBmcolSzgCWNa2qDPUZY3BVPBZyRaKcKsA9Jx0A5GZbB6YZTsfg5ql4nT5PKndH2c6d54/Bx+9uEUgPJVWavazOZBnPYK55UjOgV3R44RjEiYOfOLzjDSP+6AsDnj5cJ1IuAynxEp26RwKZmPxY2cBP5GUP9pZNPqjuW1Rm8gLcdlCTozMpqJFJNmKiGLlsHRVZ0eL5LPgKi49JlbVY3BTPi0K8ErgpyotzuZIXrGWf3+WRJw7w1YfOIEsSzQE4cOQUF+/Y1PjMp/7LzqXuCp2+QakiLMqHMsp0NHJZa5e7qU315FXbzqpXcvnLlt2G8eAsW+oz4ORMXh53UBp/UJ7a5DjZJq+p9lZj4M7S927WmKztzJC8RSzr6YzTe4RyQw6ccuiFHignlSdmrDy2evGuclFKejgHWzmVrsuJH4emK9i9ecTTB0IS7TPUHrXE1mw7qQZXwm7WahNLme7VZEFmweSFFZcBxMlHeNj3VDos02ZMZT76Oi/uSscux9m2NIKxQLPU5iYsIgrbUORyZfyKL6zD0vEpO0BjuYPsYhASptoxK0GX2vTszn/69/9x4+f/+Y8MGu0tFuBHj51hcXHlDc8e3fpz9z1+kMmmxMuDQAHCjl4z6ecqF4W9MHOXPe/iO5XBPQ6GrH66AvASuMtj2SqPqhiyKUuypLyLsatIvXALbgvgYiiQW5YnZfZWaV+nF7LU0/z3P2+xOKwhfNfKE1kEvtnohfL3utCt6FcsTSLIGdw6KnHs0G44vOt7e3zl8TaLgUcoHYZS4qU9lMXIhyxoL0BkbbvUSUGn4NalkubCLHDS8WlZkJ6BXWWgzgvIMhYvAC6yn2G7rnL2LuvwMT2+1vHIiLHatJwGoeXx2ZlmT/MhrqO58ZI+W3bN/tzy/J4Hknjw6ZzBn3jyeWo1jxPHj+OrGCU8jKluHmpSZEtWg3qthtNVtzLAS1+4ytxF90ve0S0K0GTuhGXxEsBVMX5MlUDtSImTShInB3imuXUeVLqOzsHtpr2cRUe+BberIjwv5KP3uDx3qA7SRUqJn42rECU2E6U+TFF0o68J7nLCJ68XsSCPtW05i2OXq3YNeOvNXf7oCzW04zOUHr4UedJHSUEksgTTaiYXZSYfs+NyVlSgjF0VtLFmQjbbUUlIUqBLKdLAtvDfM9DbHfQorEKRtRtmK7ig3ES+6riMMXqOs4qBkdNkiiM7U7zbV5w7e5ogepYkthtDOADtpku95tGqO3iOoDrdqPyHRcHUuRwxRcuZ4YUpi6wkVhRfuszgkjGAZ7akKDH5CwA8HygpxhI9GcCNnZOdShFXFW6JWxoOVGhuy96uY6dWLXc0f/HVFgsdH2rumDy5sEQhqxEZO4tr2nalGnGdSpQodphqK77n1gGfeXDEYt8nVA7DRKb2ZAo4IQrArUquWPbO3tI5mxexlDKpDlcCx5ScMmlHX+fBvTQk6d8UogB9WYNnDlJlrkrupFRBYs2+wkZdjbcMY2K1OhB2OFGS2JnrYeQTJ3WSxH5X59En97NubmrHl776yM8eOHwG13UqWz+PL7PV0Q7Zxxu7+qrEXQJ3+uUqJz+zCsWY9hZF4JQt+xmgKzJFFB0uKWurMrBVsRe9kzG3KjH3KgbPxk0UIyccZTOXR44K9h+rofER0ronjihKB6oOiii5GsWyVa5FKZi8lJrOp+9mBUaSOHHAOFy2PWTXxhGLe+uYxLMsnliZ4pRcnLxhhHKhVyq4szJaSGuHBEXwCUYWg1LLsY1KLWNdkotJ9lyLEnubkkQrNymbyrmvBptjGc5xIkiBXvlZljoThrSkBSEc4tEpJtsX/+ym7Tc/2V3ce9TROiEIgg2J1refOrfI7IRfZaLSh1krK5mDXox9VpHHFMXHSQFekSjZcs6Y9q4weNG5Uh5qnz8qCubOffDyPd3SWpXBXQJ5ul+9q1LWTtlbpa8dJ0KpiM99o8WBhTp4hTwpuydijBTGx0WwxnGrbhGSAb3wefMy2tDhotmQN798wCPPN0C7xInV4m6SDvlMqlKpAFh2IjLbUKYFctXhTMYItEyfp4aCltndHvskXTEssMuxUboC64LJM5kk05Ndvtiqjpq44PEpXwNWJpeNi+ICQoKjFOFoAWP07VEUbki0Pupkc+g8ZTvKszT3eJlnLlXMBT7IGp9xNXtTZe8Sw5Qdk+J1AWghqsDOZYoSpSbcErjT+YTFth2sBrZTDAjKR7w5OgV5bOWJiqg3Qr6xT/HprzYZjjxoODhS4IqqNBkPMKvfdY3jloO8JFPMWMInDTij2GGi5fC2W0Z84cEBD+/zME2XYeKnFZZZcVqZPQtJyBjITYU/dXGBKcvmibR6PAN4kmePRcripjg/uVQZs3hLIK+YCnmBnVmFk/HjM/6GKTF3GT/5iInEIYhkvmWho5OIJIpQMqFVt5k/KasSYpWjY/jWbqsCy7EdBHKtWAa6KNigrMFLwJYlaSKzNL0sBUSqXDZr29+yEcpOugmTo6pAd3O2tnelbIDpeSFRmPCFrzd4/ngDXBchVV62qzLGlAWLrVVFWJF6FRssGzW82gvPy0RTLR6GDpdvi3njK/s8dbROEHsk0mWoFV5C8VlyosgAtBrkZuyzoLKLTaOVQGVOhhQYlQ7A1AXQi3NRmmWo0wtLiqLsooSlKskVAKWCkbWRvhpyovLfSGETV0nsMhxBGMYEUYLzBx+8E6kUo0GXmufgOJQK579FIK+N7SrIV9mConQBlaWJqD6K1cCueOClMtkC4MXk1FyipOC2M/5MztRO/lg8d9Pg0lERvhfy7DHBXQ82GAw9aLpIkVUOlmti1shiitKxLB2VrBYlW3er44are1MmpQKsMHJptULe+IqAz9w34qnDPjgeIy3xMi2ubRN6URsCIiFfzknKYC+AbYxd+XLpIi2bZ6tKnlxLgZ7FRsoIhC4uciGElS7ZKqLJS3gLOWpWYUysAk4V4N8KkVpcOcyfeoSo/6ztVEqCRbQQiCTG92SR4BEvIEdeCNSVDyzWBnj6B8pSpLKk5Uu9oLAIUw2uihG/46xtp1uVnjvl+eDZyOAU3OndzabQpgX+jort3Ylw3YjYJNz5QJ2vPVuHmgPSNjS7pRLeSmls+V5+wdrHsjrCTOS7kWeOShZoZkAPRi6vuWrAm1814LljNeLYxQjFUDi4SfF5RFKw+OqPUWXy4u/bBJ9lbsvm9nW2FWQV6DJ1WPLcRb6KmeK9yoqdOSrVOGwtUrzgbZzNK3Ug9u+dOR+wsBxjtMGZnnARQhCFMBzG1pnJMpSrMpMvfEGtdUUWX0SMAX0M1KL8XsmqzFl7rTR96Z7uWODkDF66Z8ydMbkqAzvJnRPrmNhHpSI8N+LJo5KP39MCPJAuQijcPLlj8uKqaolBdgKzy1yUuFvkB7HsqOQ1IXk3i0YntnXPloqqPH1vjMM7XzvkS18f8eghO0kg0opBItKCr/SiS1LWHssklkFujLEsXgZ6elcp6LVM7dc8PV7KLJtCmuXPdencylK1aInJX6gI64VilnHwjU/K0loSJg5KuRijcabbtnE3CAwClW/MandnKK7w1exTMmzW+ERlzVnW37A2qAsmF7klWJUmRQXhOMiL7TgK5i4G4JeBXmLt0qOT6W+V6e8Y142Jkph7H67zzME6uC5IG1x6JWuwCI5ZtYlTlTWr/GlKT/IGiHJmsVxclEi0SrObiUMQuly5a8RrbrIsPkwsiwfCY6Tt9uh54JdkdqGxI6Wogtz6y9XdojMGN8ogU3/cGBuICmOTftKInMVzgMvq8dAlsOfWpRgHeEmHixcm73FgZ4/lisgwgn5APrve2ThnU9qdnmQUSMLIIBJDkloy4y1oxclaFXpWQFx+vlbSQ4yBPANyBegVd4K8erBofDAV3V2A3eSPGXNn88KdHNTFBFrllACeShTPiThwRvDBL7QIIhcabipPyFvTVCVzWArKK0sVa581UwV6WaZoLap6fJUWd2j6kh9544A7v9Zk3yl78SVaMUiUrTJM0uRPljlM0rEcGWvma4opLrqUtmVJOqlUo0tjMNpuVGWkSAEuchkkjUiDzBLgK7HImJlA6XiVOKBY6b4VgIsKwOPEbuA1CBISY7+n09rypvXL5w/+m/mlx8FkFYSp9VLaWrls0ax1q5j4a7D2qsAy97yrIC82QqIK8HKthyw3PZhCg2d7sefNx2Vwm9J7GWunz6UutHcaXIYm5pP3NHnyQN22+wgHJaRl77QGu9xcXJYp5QztC5+lsgYvVchlcx61tsCugNyOUwhHLtddMuR7X9vnt/7EY6gd0A6RkAy1jRFyTzopu1XltFwhl3Kj2VjSKH+27NgbmYE/A3QR9GtjcpLS9ppaQ7qxNumtehQvyOTjZSLlunYpBM1ayHfdfu2/ueHaXT/lBN1Tk4Ne/02nz42YaNcgBZQdrlIsm9/suiqTVvF6bYCvAnVFpowVV2XgFpklVdbfpsTeBWvn8qQC7mw7EzMmSbJKwSQHt+tE7D8t+chXGiAdkJa98879cjdR+UIcO3HFSkXxwsC4/rYFV+XakGLJdYwdwZak4xN0okhUqsUTh++/bcCn7m2w56QLMsQISaBdhqk8yX35JLUMk5KDkuvwjBVNpRMrxXleaGc1eMHWVoObNJOZ+uM5sFOgl0HOmG2YYaYUt5WfvyDAKS7A8sgd1xH4nqbbDd/09HPnJx1XRviOpu6rNAjIvmR64EVxQqp/ovoRKh9MFNdgNeiqgnm8alCUwCLGNHfWqlYAvAru8q5q1Q2oCtZ209HDjpMOy8/8bhXb8cspgycq5rMPNNlzoNDeUtgKSzfvoBn7vKWlt1L+W/hJq06QfV5tQF7LE88633UiSWQxIySMHC6/OOAtr+pz6CM+YaJAOMSJwwCRToM1OXtLDFEe/K5m8kysFCC3jdxGZgFnSb4IU6T4BWhpga/1WhKlBHY9JlvWADdjz8vHr3LsKtKuAPlgCIvLGiNinLkphdSKiZZKB6xotMbqtlLTcPbVy3+u4vBWPpx9ITPNXQouc99bjgG7/JgFcHnGLB1mJUr7yMiiCD8Htywx+JgkcR2dp97zLU6kxpHZ0Hw7qdZ1Iw6fUfyPT7YZSTdlcKfUNZ91EZXT4WWm/hYoqHxC8jS5PVOr56yXehF1Ae5EO8SJi5/E/IM7+vz5vQ0OnXZARalUsSyucnlS6PHiA45XEdkVRmX+vLRgl2kALKWx2U1j0l5dnaf3pcnqQazrIo3t/FrLXVorq11+r0yUax3KSpKqDHRjGzcGA81SV4NjcJQT4roRngthbA820uTliSL/3maVMhoHeC5Lsg+ff4GCzbMsaTlbWpYmOStmyRM5Duzyc12yCKsyxan42zoHtVJjronKxpPFOE5IN9S89zNtTp33QTmpNSjzAUNl3zt/zmpWyr53JYO5FtApn6Ri79DCRclS+DK/580QUpHEDpvnAn7yrT1+5YMenchOPTJGEmhlbcNE5CAvB5uIAuSZD56v3saO7ihfgCp1V2zJdFpFmAWgKUvLMtjTc6xLsclqK/UFgs41mHwtosgeM2kXxppEDzFmgHPfkwOCwYjBSkKz7uYMLLDLUPYfV5ba0jK3ZoXYBSLm8bu8ELhFCdwloBdd62VZUmz6agGuKwC34NcopxxQ6gprq0x7+xEfvtPnPX/WJtCulSdC5fIkbypeq8CKqiypWqfim56cwiosgz6bCWIHn65K4Wu7FXjNifnpt/fZf8zj/Z+1WhwUiZCMdOqmJKUgs+yNV5g8Q7Qo2FEWzS7GWGZWRqQSJbUTc/ZOgZadS5NNYrAXgBC21KtcFj2eFymDunT9rZ0EKknnbDUUAmanBDdeGbJ1cx/nsi0TLC7F7FuwS0/5Ssoqt+Qa52oVW4/VBnxTYJcZvfRY1bel2ShrgtuUtLiugLwAeuqWSDuGLK8zUSX9reyswaVl+POvNFgOMnBbgLuS1D0ZlyflQDhdjqkCfvykjOvFcQaqTnUi3VS3PDdF5lpcaYXWVnNPeAl3vG7Apx5osNhTICPQigiHkRB5ncr4xVgmq+IzWibPGVza7UsyXW4yiZJelFqKXOsbUzgoJq0RN/n5ThNPpQsiJ8jKTnqrsbTWLXu/nKeREjAOx0/P0BtN4zTqitHQDnuXovpF11oy1gRz5UocA/nY+2tZR9XOkCp754xZ1t55+1QJ5FmAmTG0LMCtStagUkmJtUvs3Yi586s1Hn6mji5pbyVlqbCqWm9yQcCU7hUMrT5FFk5jCZ9yCW3VOkyDTiNRJV88TlwcHfOyq0K++6UDPvQ5D1QIQmKEINAOSqRBJ6lUGTvX+WfJ3y0cNJX+RJpiTk7G5rkkkWmwKUoSJWVUPXa+M3VQVBqWciMlLJXJVIy9ITJgj+HTGAhiQ38IXk3gJOkus1mN74XckQoZlf7RcbtnXEuNA7tg7lLnSZ4VLIE8Z29TYvA1WLwUWJbBnW0nqFShvZVKUomSglzGKGkHvx86LvngnS3O9jy737W0g96VwHbNVIC9RhKjpCsvxN7jt0qip8Ts49sxZuPLjNb5tKdEpyBPJEra7U/WNxN+9Lv7PPCMz6FzEkQEKDSSkZD5JlIZY1LxxceY3Fgyyd43hkx820KsrAoyC0ZTkFtAp6W0xuTHxMiiNr0INkv16qKcyq8mDbNrMcdZSZpkzmtxTG3DiJA2Mei06hCN7E4GZT9xPFExztIXYu5xx0SWXpcdh7K9VjSuXlh7Z53cMh8dbN9zpE7fMxVwVwNKXQK8tQQdaaWJ50UEieb3P9rma4/XbW+bdKz2ljLt2qGYP1LqIl8VYI4x+fjxG5OPYxnMDPCFFi+PdMtnmBiZzvvOtLgiSTSxdFCxw2uuD/mpd3b5xd/3CGJpG1G1JE5dFalLF+MLMDmldw1Wd5MxdcbukiJuEPZzZx64EePSRVTPf+kYZcfMVMgx+2wFe4sU2QWZi7y8ppArhiDUDIYxtWGCc8m2BU46XZ5/PkFrZ003YC1gr8XSZUav/jvV/SLLwC50rMmDj3yT1wqLl6VJJlV0hb1Xg1un75f9bl0ElzLG9WLuedTlU19rEIQu1B2rvaXK2TuffSguMHewZH9VllWKYHst+i6bdEXneBnctpMmT2iknrhKGVxqiSoBPY4d6o2YO14z5O6vDfnSo8rahsJ2LUTCYUjJUTHj3T4FyDPXJJcCstDlJtXlNk+SjhcSWfCZnm9ZhHFGjHX5YL31CnbyC64U343NUsmPo8B+dmGyApH8mKuUUU8sRcxHAc5XH6uxuDjk7ELC1IQtl6xcZVwY7OKbAtyMAWE1Y1enV9nfVynYLbh1RXuPg70Adwpqp7AEC2mic/87197STold6RvufKDBvjM1K02ELYkVeWKH0gSp1TXf+WP+3UUJ6C+gTzJwZ9m0Uk14WapkWjirSzFZpWGpjFYKhUw0UjpEgcPuDRHffXOfh/d4dEJpDzRWj4coK1UY1+JVeWJPvn2d7dqQJ39kyekRmUcOCJPqbZHOz0nZO1+1C9AakxGDWYWlcQWR/zxj61TgF+BOn6Ur/8ZZwdVXKqamFY4UPkp6OI5kPGV+QZvvm7K2qbxXyJUSk5eSOBUmFyat+TZruidSFIGllDZTKTNwl4Guip0Jyo8ZuF0nRpPwPz9X5z2fbGGEY33v1Dmx7G3lScUSHCuuWsXcGcjLK/4F2LtcAlH1wssypdzKllmGMrUNbepeS51qcrtFoFSan37bgIOnXd7zKYcoTmsMtEQjGAlp61Tyv15CT8VNSS+w9F2VARqsq5I5iiU2t4A2qWWYJoFSTW6MyWv9raVnUhJNm5Vz5gZhyvNU7OeTFPJHUAA9D5DTuCWKBUnsYBIXZ92UxDGK+Zbt5mEMmGv51mszeRooyDUuiPQDFdnLqjQpF8kX2jsFs6zqcDnO2jL1ubO96rMZ3dkmsRm4c2kSo2SE60UcPCv51L1N+n0X6qpg77JzUm5LE9UEz5oEUNJw3yzJkzF4JeWcg700Qlhmo4StZKl0/WSTaaXV4lLamYatZsLbbhnwhfvrHDyTZsiwbJ5owQg7otO2mq3N5NYmFKjSh8t87zzYFGNsLorspZF2Uq0ugV6mHnp2vEwmTcyYlBkDOyWNXsjCFFfZ309smXd/oDm7oAm1xvF8n0bdZaptNxpNNKvYd1VCI2ct84LsLseCimqQYSqAz0AsUllS1t6FLMm2zzMXBHe+1XXulOgxaWILrIJIc/dDTb7yRB18lQaWzir2zj6HEqK6AkFl3EU5LvnWxMlqVs9BZAqQ5xZhecpqvrWHLmSKliRCIhOFFIooULzu2pDXvWzIic+7BFqCsAEnCGLhMDIgtSh9gPKyk76WWJ8Pk7O4fS+VLKI0kCcFspTWA5dZyYfISqApgVtUMZGycYGjMfmS6XtT2IuZ66fTeAJhiBNDp59ghIPn+zjbt21ZOSEGX1CO+FvJKE3I50w6Bu4sOBEXBvX4z7MvUZEpsvp+ZhmqdO507jerMounDoowBcgzjS0z31uPAbtaZyKl7dSRXsx9j3r86gcm7IZajptWDDoIKXFFUVSlxDiDV2XWKgt0HOgvgPRqJrMqU/Kx1Fn6nrROJWtKFlWQay3RQpFojdQOcWz3F/r5H+uy76TDfY9ItFewuNFWj+efmbJkGQO5IA0wi8y2lCXJkmp2K1fA6DR9L0GPyZayRWggHRSaAt0U7Azl+K14nWnxTAJl3f1C2jelgHpdUq/Xv7B+w5YVFaqZ/tP7zhxa6oqfElrjOjJvIiiDvLInTPmev2fGXpf1c/pclf6tUpOCfb8IHi2YSyn4Uq1JDmpl1gS3LKXiy8mdcq/lySXBr35wggeeaNpNeaSXA9yRgrok3VCqWh679j1tzMiH5FTvMm33yqZvZY3S9oLOXKPsuIncKs3ijvHy4SJ2sWRQkXy5E5UOwTSG2ZkY3zE8/LTHynA8aLCaHJEFnYUjsXaQLKrPTPVSGL9EigyjqKwPq94z+VVUWdDy5Ff+WlQXm4psESgladQEl13k0PbP/ejS+ef2OU46mFGmS5DIl+XC983ZioKtyAOE1Q7JuJOSL0Vl5pZlNizAnduD5QGPJUkiU2tQljV4uq2dzKoD88c0UymLctjES/jgZyb49FebmFqmu608ydm7or2r+rvqnpTrbVLQlNi7jIbyW2bsh6bEjNWkT6k+JW3wzezCTIsXO5KVnJVUqiTCQQ4T7rh1yPOHXX7tfQ6hHxcAFwJtXIIs1VgOApJSkqeUDDLY2pYMb5kJJAHSnT+yphkJ6fAse+4z56QsTTLNLrTJ8UV2bCl+L/t7uRKAUsd+FtTarxbHHqPAsWOg10+7CARaR2C0nZ/tUGGQC7kjxfO1ZEu1nLTabT3moIyBWYoqm+fAzl/rqkzJ6kxkgqzIlHR/x7zmJOFLj/h84PNNRkk6BV9md6u9s93cKlnUEtDXCr5XybWyVFmD/SoypcRUmc7NdHj2qHU6xiHT4rI0P0WW6lSEQSapVBEakcoV39X82Jv7fP0pjy89Ye3CTKqAIMEhNDbozH1xWQK5GNPgwl6UKvtKqSYnlS6ZhZe5Knn2MT2GtjNofECRJQkzjrWUdTOc5SSeWY6iNBuThMFIML8s6A6t4+Ssn7YfKooEo4DUdiufxGpgVdQJVJ2RCtCpfshyWr46jbRgb7kGyMs7CRRMXWLzcoYy2wks27RU2t15pUxT8k7EIIBf/sMJDp/yMU41sBRC4GbB5XhqXo4z9xpgziE8FmVWUF4FeZmxyy1imSbX+RJt0JSmwFaynAItpN09Tep8RzItld3VWDvIUHPR5oh/++Mdvv6vfHqj9AvoTJhIYqkY6WwlKoFcm0qgSZqyN6Wf51a+yJJAKaOnroopHbu0GjsNRkVJdxc6HDGWi8ksQ1PUrBhTXBhaQKINcSIIQkMYBzhOgjEGZ3Z2GikVo1GP7srQ7tQ1dm7KbJRPS7pQ4EkZ2GMSpQzyC7D2eHpeCp3LkgzgMmfvkkuS+dyyYG4nBbfjRMQJ/M4nWjyxt2Y97zQdj7Q7KI+zdx5cYlbXe0N1FauwTjF0czVrmzXeK8mSEpuXm70rUmWthoh01wOpJVpoEiERWiJF2uImHKTWXHdZxLu+r8N/++gkYZKxuMi1RqwVo/Rz5zXjGeAltrIxTc8rnckG2ymksgAzkyUZ0NPSwhxTFFIi98UzgWcKPOW/U0qcZTir1KWU62mEIUk0ExNNJifbdvDPza95PX6tyaljz/Hko58nMbV875gy+VRAXwZ19odK75U7zavLenU3gCKIGgd42Rqs7s9YMLUugbsoppKysAhlVi1YS/jyQzXe/4kWnaFrBzGKrKDKqbD3qg1Wy1ZmBcyr0/OIUoKnUOVVSJvKw6rgK08ApbRYaPBUmpiSNMkSP9K2jyU63RjKmFSyKKTUtl4lVrRrmp94+4DHnvO5+xsKGnHKzJmwFcRaMqIAXeWiLHcDlXR49rrC5DLT3xmQq0yerRMy0+iZnDFUZA0ld4VS2YPI/y+fEYbR0O2H3H77ddx04zV0uz0cIRVCqlRyJLjK5MGMXUZFfujH//EyY0PZUszkS7EpUbl4ygK9tDvXKkmSMbepgDvfSjrdTroAdymZk7F5Lk1i9h51+B8fb3FwwbXzyUQhTdZm7wuk4y+ot6tJneLgr3HLz8ZYLUq5kjDLHuaMne2LVJ0EO54MkllhljAIIdHSltRasnGQkWHXdMw/eEePo2cdDpwSGKcEcAEGl9hIhrbApHoZ5skgUh1f1cRGW30NpJ0NBeBl+rvF3PBi8cjIL6sbN2Xpkmp3YaoYXMUZJXnneQ61mksYejidvqKuFfPLLgsrDhvmTL4HT8YgY+STAzj7zqv97zVkScnaqmjvilOSMbvOKwelKLknUlvdLavglpV0fIyUMVJGeH7E2Y7gl9/X5lP3NDCuU9HdVntTsHfJ8y42WK363OOd8+ULvbrCMYb4VSReQvfq17nWLv2Kre8otbXlKfzCG0/S2SUy0+KiFHQmGldq7rh1SCeQ/NxvSM6tCPBTpGmsn61dorS2owLy9LXB2phoYUtqdeb0ZWW1JmfxDO9GZxo8BboszU43Y8ShU8LMLoas6CsD+pidWM4nTE0I5iYlEw2F0BJnouFQb9bPzk7Ku3Zsnbg9iTogVBrAmFyJVaZbVXRouWZg9QZE46wtSu5JeZdcVZEnuqTBS5Zgad/0CrjHAkwl7fjjEM1nH2zy5UcaRa1J6phYoEscYT3voltnrWH2rN13mUmUfEUTBbjLgC/5wavAPM7gY8ydsWKhwy2gZeasZEmfVLJInW7smrG4UCQChNBooYljg+9o3vDSIW95pc8ff8EhjNOrPJMrUmCMQ6gFlEBuyFLmhS7POhxMytgye29MspTLY62eL0Za5HgaA3piyjJ47NiloMyDcQ1xrGm2pljuibu08c6OAoncvG0Xy6e/cHS63f3vO7dPUfeDfG52XtQkxhoMxsBZAJOKpTdeAbimFJFVt6QC7jGNLUtuSeZ7F5IkTt+zjkksNJ+5t86vvb/NyYVMd5d8b6mQWUJHmJJzUlphWF1iUKSRsxMzNked4kSOr3LlM/SCGrySGKk2P5QDzawxOds1rRg3UaoVrzx30FoRBQ5bZww/9+Md3nprH1fEkMRg0ruOQVsXItQQGAiNINaCyNhyjjjdiSLJN5G1rmKSNkknucuTvR7bRlyTbiOejQpc/fPqUB+T1sSn9/S/s1uX2Im6K4OYxsQGTp0P/vv7P/Llo7t3X2z36NE6BC0QRLhOYj9NWqpZboIo38pLcLEvYtkSNBW5supiyCRAiaXXYnAlrCwpgzvzvWXJ5841t4xx3YQjC5L3f7LJvkM+NMvSROa2oEOaks8yijlrr1G/XrFDS6yTA/kCdd/f4i2rPbGRWdUyLEuTcue9HOv6SYRAmDTITN8TUqagkKlssXIlDjSXXRTzY2/r8cgzHkfnSxGzFPmug0Yqy+T2RKe7oKTaibSbJ92JjTRgNNhjaWWKSNm6YPhUxSBlJtVNdgRLTkqJIMrmU4kZTPox7Ng2u41iGMYEYUgQREC6CdXU3JUotwE6Zmn+CFGSaWGRr5v5tm1lliqJfinW1uDlfcyrOjwDMIiKQ1IC/FhgWQW3roBbygQpbDp+qSf4rT9uc+8T6cjjVG/nSR0hkYK8U76YyFpqcv4mAWYmWcYZ2u4wXGaBFwZ1JamTs/fYIKByAJqCV6b1KlngmQM7lSxWnhik1lbCCOuq2M+oSYSGgebW6wL+0Q93+c9/OMnysBRwSnJ9oZE5yE1+wlP5NOaoWKCnUiZLAIlUxlBocdJrOas+zcpn8wxmSa6Mm6uVGp7SXUqXSy/exs0vu5puf5B9TGi2NzI5e+Xd5+c7vzoI20Rxms9Ki40Km8zkdQ6VfRJTeSLG5ciqTpyxZoU1kjgVzT0OblVlbjXG3ErFjKTh9z/Z5H2faNGLnDHXpEjqOCLd9kOWgD0WWMrSRSxYKz0/5qaUNIngm+K7REiljbzWAnzO1MVGqEVRlpUBeRFWKlHKQ4OMKTa00qaQK0ni0HLgp97e46fv6FLXqTypSJUITII2hiCTK1oQaYgzuWKqEiXRwkqSTMIY0j2Hqu+V5UgRNGdSpPh5pS5+/HV64JQ0bJit0e0s/urLb7zs7h1bNxYAr7W28ccf+PXB3kOjI0vdBkkiKktzNRNZdhXW8Lhzttar9feqe9kVKdd46zVAngaTIrMIEytfSjUnuJrnD3n86d0NuhVwZwwuc1vQsrdZxd7jrD3uoqzS1hWmvhCkXxjqFSYvs1RlLuRqoFfvUOxgnKb0c0BX74mx3fhaO8SRQ0sZfvANAy6/JEAmSQrsqh7HaNuxXgG5IErBnYO8BOgK6CufmQrYywAvLt5ifHfl/dJrnf4O6RiL9TMenuge+Q//8d2D3RdvLgAOcPMtb+K1r/8eLrroIqSI8gbespbO7dJcalQlyao0fMbI6XMliiA1T7uLQoZU2bssT8ZkSemussDS1Tx3yOVdvzrFMwd8jJsFlWmpXwr0TJp445ZgKbAsFmqTYzNP7lQkSXUTrdICX/x335S9y0/KJ3I1q5cDzHw4T34hjO2WZmSlabncpGxfW5AnRpGEiqsvjvjdn1vhyl0jG7GZcZDHYJJVII81RMY+xilzF0AvTeYqgb86DmOMmXUV0LrUylcmgSwBZgNeGAYxuy6+hHd83x18z/e8JT+eOcDnZtvMzU4yNyOZaAb4rh2SIyuMZUpp0eJ1BuBy0qYMbinHnZO1kjhZbYmu6O4qcxeed1ZjIkWE4yb0jOD3PtXkyed9ElW2Aos+S4RIkzpFl3zVOVmbvaWoypAqyAsYiwrCSzT/TRFetsNF/sYqDZ79Xg6K0oCgcq14qU7FmGL8csbm+bTaHPAOIpFcd3nA339bn5aM7bBtk7F3CegpyMMxkMfGgjvONrM1BcjLLJ2BX18I5FQlSFayUE6MUfqdOIEggs7AEJsaE5MztNpTqwHuugrXcw82Gv6hdbMeMxMDfFeDqA6iydmMki6VReYyA3fG1uPsvPpetQTz2pOK5i4FlLkGtwkd10sYJPD+TzT5+JebBJnPnQO7cE/K0kRVEjtrSZLyClX4t4yztRgHe/az8fFtF8B4yfsuSmVF5UQX8kQU7D7G6FnSp1qnInMdXsiDsh5PpYpR6EThJYJ33Dbgx76vR1PGVSbXVZDrFOQjA0GuyQWxoQL4QpOL3EIsJMrYe2Mgr8YjVSsvyy8EMZztCBI1gV9vHvJ8/6By3NUArzW305+/666Zae/DC8M6B093SLQmihVxIvNdB4qKrkK6jIN7VV1JqsnHQV3o7iJZkzN72rxQdUu0lSNpfbfjJPRCeN9nmvy/fzjB+UUv7Z4o6e5Ue5czluPOSSavKiMhxsCdzUC5UOFV5cB/qxHmGkxeqQeHXIevCiyNyIE+Pvkq98czFs/eS8+jHSKkSgyeTquNHTbMaP7Nj3f5e2/r0/Kjwh9/AZBXAk9dBXlsCuYuDxNNTKHLE12OLUogL69umXAQ2bY1drt2oWDjpi43XFvD9esf/tAn7rnrslR/Q2oTZreJiQga8nOfut976/Fjk9feeq3HVMvJN25S0lROnBAXkiVjWcuUkfN2tLFKwSqDm7wzR2aBZA7ukiUoY6Sv+fRXGrz7fW3OLjvWFsmDynJK3romBXubVfJjrdqTjKGzzu9SyUbldc7alWKr//VbAepiLSgzVw58TT5ox5RGSYiShZgFosJIa7kZUzxqSIQBLRHCkOjMPjREoWHjVMy/+YkOi13Bh+9sQU0Uta55dpO0bFYRpc/zrR0QuVcuhCCRpvQFLPXKbEXMvqkpGFdj/y/zzMdjGpl2WTV8yeYNgtteLpmbHT15/2Hnc3U3qBxTWX4hmn+HH/+Hzz2wvNB4tO7McGahRn8oiZN02Su57dXS2NWae5y51wL3uHsiUzDL7HkGbqGRoshWKmkrBA+ecvjQnU3OnPdKzQsZaxdBphRj801EURK7dr23qeptqgFoNVNZuhIoTsKa8kVUdfSq9PwYg+ep/MpyLUoSpdTwq0X+uixLMmY3ekyulALOTK5kbB6Hio2zCT/8XQN2bQ0hHA86E2wLu3VXtIEoZfKgHHCmVmIl+MxiBzMuTcSY7q7GHQWp2rujBI26YMOUiwk34JmpR1+748EHfuHvv60C8AqDA7z6xh0IKTh14jCOHBRG/KqTVvjhuUzJnJOsxLQsO9Zk7lIyR6QBZmr9rXpdBreXcOiUy7//H5Pc81gNarIE6DJ7l6RJKkvGU/IXylyuTvCIqv7O2HzcPbnArWwvrtGgmP7XpsLg1YsgZWXSEQspGGQ6liEbUm902vxbSucL0iynlnakmpbFucwYXqe2LwaEQYwMt90Q8Evv6vDvfneCw2c8cAvmrj46aCRRWh5LXlloHzN2d2Tpi2cNFLKELZN2yIsiSylMQfyrSEBDp5dwcqHN9PqL0UavOqqrAP5db74NqZzw/ns+w/mzB6j5pNOiiqzkuJNQWIRViZJr7TXAXak/qYC5/LpkA2bgdhOOnnf5D783wcfvbhCKtMeuAu7UHixLk1KXzlrlsONtaRVAlpk4A/s4qEs/+9+RKRm+y3vlrLnNSR5wFqPeRDrfJJcjOt2tLtPjaeArhEh/XyJE1llvAFs2jbY7DvpOzDtfPyDR8O9+Z5Jj88IiJsPpGiCP8/dFegVmj2uA3NifCVmAOWsiIv2n83EUJi0D0IIEiGPDUGgSrdnhzXDtS28N4zj55gCfnZ3B81v/ateuLVeI+NitOhngZF3vpeW7fNILoJcynZmeXhPcazC3HGfuMXAru1HUsfOKn//vE3ziS01C6aRBZbV5OO/SkZT21Um7iOGV7QAAK+BJREFU9Hlh9n7Bjp0M0OOuiRhjb/G/WJdiqrIFSmxVfj8H9up68fI+m5bFRSUoxdg9LoWRCJ1dkwbbiVn0rlvA28c4NjgYfvB2i4Ff+O1Jjs179gDI4rMXYFdo1JogF2uBPP2d/GfGfiphSpWIY8cnwdgNcg2EcYIz0WTjpu1f3bJ5879aXumtOrRy/A2/1mbfM1/qNuq1fa2mTNqNiEYtxnV0ntEklyXpcoYZS9OX7b8XYO68SjApZSjL4C4FlCrh9JLi3/zuBJ/4UoNQlXV2mcFlRZq40qSuyQW2HykFmhXtXflZNcGz6gLIcP2/gOkStm0gVYrfi46ewpq174sCUyWZUujxwkYsMoaiYh+WtbkxpUxn+bku7MMkUTiJ4B2vH/Kf3tVh43TqrFR0eFWbawNRmhAKjXVXsoxn5pWXnZSk8j1Su7P0HcsXvdYQJYZhYOiPIDFO4tfq+/7sU3d1p6fa3xzg+cFMOu/aslE/vXluwEQzxHVW65uK00C5DW2sYKoC7moip2IFrnJKsmpBTeLCez/T5ONfbBLKFNylDGXFGiStNanYgaxqYhhP8BTlsRe2AqulsWWtBuNC/Jvp8jF3cE1rrMLU5eer7lkyZQzQa921LBJC+cxDWQDeqArQk0ThxPDONw74ibf2cbIaVb1WMijJk0EvBPJEl1L2mX04lsU04wcp/f5xAssDwckVRT9pPj2/1HvXhY7xmgC/7Jo3MNk6n0zObDZPHxswDEdobd2UJI3W84SmKAE7a2yQhUQRLwjuxLJ1XhI7Dm476kG4hrserPORuxoEsszca93tYJ1iOlW1U6eSyCmDWK49sYty7fcYm7MGrscMlW9O3WMnb62alHHnhTXeM5QYXBfSJA88S5640YJqjUo2VF+VnBX73BgnTwh5ieEHbh/w+lcOEatqVi4M8nANkMcmzXJWLsxyBlMU3z099krY8iIpBF4t4arLB1xxzQ5zbClI3nHHG9c8zA4XuI28N9PtDT/ywbtO7H7pzsXm5Ts8XMfguRa4hjJIsgCzWmBVFEq9AHNn1qDQFY9bSbvFtnTgL+6v869+e4rnD3t21+E1M5WpJShtMifbUyfr1BlPvVfuJWC+oAYvBZrlFWxNtv5f0CurTZVMZ4sczdWeTVujISr6u6rJi5+b1A+3d1taK2z9v0j3njfSBna60OT5VxBp8Gk/FVfviviv/3SFfynhzvsb2Y+qzgrFc4Miyl+PBZ7Y9wQFkoUxla3Es2MjBCgl8BxoNxS7d2l++C31/rpdN35EqAbv/n/WPrYXlCgXbd9pHnnswG+99ZbrF87NNzm/5BCEdssMYwokXKhZuNqtswZzl7OXQq+SJUolSBc+/bUaP//fJ3n+iJcOySx35lSZu7AEzapMpcof12Dvsh14IWAzztLFBlzl6LP4HfEtUfmqIqIy4Eugrba3mbEM53iKvvDFdUV7y9LvScobzepSOW1iVEmTZ5WH6fNAcsWOmF/92Q7f8+qB1QsZm1+wdsWsKVfiUlFWzuS6pMtLB0Rgicr3bM/lbKvBUN+6MH/q8G/NTO80Fzq+F2RwgJtvupxer8fS2WcRjNKTYNIro5zUGWNuUXJFxqsC19LdYjVzC8eC+1//ziTPHvJty1klqJSMW4LumO5WY4Fltax3LLgcsw3FOGAzC7AkV0pQpiJlqmS8JpuvdUZM6odVEj+U5Ui1qycvH4V8B+GMoctzVLS2EqzsqFh/QKa/T5oJtWMo7HcqmPz/a+/L4+S46ju/v1dXH9M994yk0TG6L1uWL9my5BtMMNh4s+bIQsJ+doPhg0m4s5BAYkw2QMgGCAkGshDA4bNhYxODsTEYGyMbZEuxjU/ZuqyRJY2uuWd6uruq3ts/Xr2q96prRiNLsmxn3+cz093Vr6qrq7/vV9/f3TDqAc5YWMdf3TgKAeCuhwrJl42THJBk/jAbAgwBKNu6ovZm6u4iIoMLgZPmy42ue8AFJmpFFFqWo1QqYbrBpnuzs3NWLZ+z3rdyWc9EzuNxUc60JaShpMNUIa9TgjuIwc2sELCBuzfn8Mm/b8YzL+jgzrJ3m1GC6fIPhscyw3KSGe+dJd0z8KrHgx8PPRHTbDMcPciQ3vF2+UGxRE4FZMUx4ZplQpVgTtoSphVPU9kMU3ycc1tuC22EdQtnLqzjCx8YxRsvqkjJ3ZAwoXtAOYQQCKaQ5AHXJLrm+VR5nUrCByFQrQXIN3VN+AHe193dXZvuWk8rwUU4xucvWLA1n2Ojv/r5C0XHktYUW/2l+lKqBAY91DVOaqA0uMNYcluxKZADNnDPwzl8/CvN2PaCJwk1yzAJsgTcTNm7WQJuO844Upk6aSUz5dhBmqqYycSx1E6ZBqGB3EB3+vV01zlL4VT/InzziJ/G1IQaW54oaZzm4QTt/cizKZhyDkkHEJT01O3kTOZySmkvk3yNE60Dq3p9fPGDoxAg3PtwHrGrxbB1q0cLAhYCUBJPA/V+9GWRtCYhCAQEUChrs/skSwsWPAeXXnLxaM/cBVsP9A81mve0Ma0EL7d0oFgsHxXcv37JslW+59SQc0O4dghH62CmJHi6F2VSgSqdoKBxbQ3cwgLu/3cPH/lSM7b1pcGtKZOxYpmA22Vm2bXE1h2BGo3gpqkkN5CpbCq46o2l0taTzO1TAXuKjUnMiRmXYriqFdfWXhu2cG0bT0t2nZtrWflpSR5qsSphnPoWSXMValtnWDXfx5c+NILLzpuEpTKAeAYvV9n6XCCIQm2rXMsO0qIRpb1cxrj4XIbD1HxgbCLAmrPO9H0/uL6luXy0u7trWuExLcAdx8XQwF50dvfuX7h40e453TZyXg2OI0NVpRQP4Vhh3EFYli6WoLYzKk6Z9m1Tcv9iq4c/+psWbO/zZLiYkbSQpiYauA3uHYFbq6TF0oCO6UmqQ0UM1ClMgSkq0sjHU+Cmxm0NeDboSAZV0d6PF4D2uiE+nJtKp8qUyVRGY/MgxYkQejkKs3V4kgnEtZS3kFvgPsOy+T7+/mMjuHJdFZbhCEqnvikKwxFySVcqHKhyQp0T6hzwQ0I9BHxOCELAD2TfnbFJDm6XsGTZ8t1LFs/fv31nH1zXwXRjWoADAGMMYuInfa2lwffMmbcQFkma4tgSwJKuRM+1LsKJFFf27KR1nwK6RTJwCg5w39YcPvS3Ldi+14NwssBtuuEpiuvOjhLMji/ReXdi/240ATbYwikBfToA5TiYyHGPNOfWPZcwQKspoUjz8bQ1Ra+nYj6mHT+mdzOdBZQCeZ1h2VwfX/7ICC5fNwmmkGnEkvspns7jmPIKByY5oRYS6vGfBLsC/GQ9xIrVy/HiYP09//Avv+6zrGPCd3oODgAtbfPg18dhO8V+a/zBB93c7ostDMOyCJbF4dhR8oFyuWt2biLdocNBLEk7YyyA7YXYO2Bh8xN53PTNErb3zQTcFIPbU0olS6R3AvBUEjQhRVHM/kF6IgOABkUza5tuEjSUzQawT4F+jWMnKVmJBUSnK0Y3MRU5YtjA5Rzl0VQF55OyEpKTS7pLIA5wxsCiwvmQoViQZFw3aCOJE5mO7Ubnu3y+j698eAQ3fVPgkSdy2DsAwI0myGIuyXMSAFkQxOCT1AUCIgQQ8HR3PWTNk+72Zrz+opUPvuV3Luofm5hEuamAY41jLwEAjtuEsaO/2lku5f5u9tylIKqBMQluxw7gOLJEsXptR93M1KPumZTWEh+2F2L7fgc3f60Zf/zFZjzfFyUKMzsD3IkpkJi0mMTgphS49dYfU3HuTAndqFzG1ASmWTB+lqInOuCPd+iUI9lGCXb0uAzNRJgkITc6g0xaoserJG7y2F4eS+wk1U0YnDyJIZ9KknNug9cYVswP8NWPD+PTN45gaU8dqClqoiwtvvZXl5JdhAhDjloITISEcU6oBIRaKK0pk3Ufa89egVyh+He3/fThnTMBNzADCa5GqXUuYJW21uvjd+RGj14nas/BdUI4th/zbNISFaTrO8rFpDBy2Ucey5zAzn4HN3+jjNvvLaDKLenESceUxJJbBVDJTrsemc4c096doWAqkCMVPYhk+1TKpU5PTCV0CoL9UqkKwZDoBuBT2/V236CIukQTKLKwyKpWiYTnUXgFj4SzjL1GXMySAXHsOGeIrSuMASGP5CALAT6FTIxTcQD4AbpbOd71xgo8R+AzX2vGrv0ukAvkRBFJcqFuNWEsxARZCKK8UZ8RAsjuIxvWLsGG85bfsXzFwq3Dw2MzvqwzBjjZSzA0uL/PLl/+waamxyxhs2tce0wqlxH9kNF4XIsZlzSFVHYO42CuwK4DDm76egm3/6KAKllaG7+0ImlybosAD4CngduI854ukErj21MpncqRoyovGXjVFc4UFTElfLSNsrfrIwayBuKGN0mXxMpMKOITECKq5MoBWJoUJ9PZI3hkqWOKxkjwijToOQOpfLEod4wxRDRmGpALGHzAr4Xw7BDXXzkJCOCmW8rY3e8CTnTuMY+KWqlQBH6SNEnSFgujgYVcuYBSa+udb33T+g/29R3Ye/byuScf4ADQ2taDycH79rbNuuDp+tDea8jvg21TxLspspNqwCAOgoj4uADzgD0HbfzFLSXc9osCarCi6JkMcLOEmhDDlJJbWUwM0yBMqZ0okyJVBiM7idgAskFXTKltbtM7O2SKCBMPohH8hlnQkNjmfobNmyIAk54cISW3YtWqDSGUlzNqaEWKFqs5Ub4l4wwCHJyRBCDnkYSeBuSaBFfRK6EP5JwQb3vdJEDAp79aRt9BB3BF9IMIyfdFypgqpOAiAvyAYfmqefidK897+tY7t+79g2svOB7IHh/AAcDJzwU5y77gYeuiv/j60Nvv2zKC5T1V3HzDKDo6Q7AQsLXYClUwqC4YHnvSwS23FfGvvyigTlYqEyclucm0lijO7ZBJSxrt3oCRQhcDPaOgZob0bqAqOj1RwNbNhanfRo9LmdGIQYoGqR2jhXTJrLZrElrRFCHbeehzFX2xKFkYoMiLLgRU+WNFWRLHjBY1xRKQi0yQUwxywZMLIpik167N8fbXTQIc+NptRTz+nIsatxDHF0Tf1REA4wLtXT4++55R9HaH2PbiXDx7qOsH11659gtPbnvxeOH60hhjOPK/wcqFwsZ37PzZjt37NtbHBrD+nAmsWeKjpzPENZdUMaczhBudeyUk3PqTAv786yUMj1nwyYr6wmeAOyW5VT5lFudWYQMK6ElWETRbeMqL2eDdVM8lwNU+FL9PyTxGqcfkfSLZAzPZljwnUj0yoW2H+aiKEOlKMtPOPd1eJY77Uc/lwk7mpEp3ZLWLie6sei12sxx2qq4NqaQXrXUjmeEYifUsyaNlxGHZIQICRsYtfOqWJnz/riImAgk/l4DZnQHefGkVcztDrFlSx4VrfVRHO1EPlz706R9e84bFXUcqn/njd7w8AAeABx56AgL8vr7tX7/iR5v24K5fFcG5BccNsWZFFe98fQXXXFZDexvH936cx6cicEsE2Sla4shbVspDqcCtx5coF3ycgjYFuBUQFACIpgJ2BEhteza4I7AywCLVsDUFerVIIoCTDnaaGcBJA3iyQKPvZcnFreZYypFlNBXAsYGtjqFHflIK5FmJK3FhJq0Th1asKUlYUSCXJmTSHXsWYXCM4VPfKOGff5xHWzvHNZfW8F9eP4mzltXhuFKf+OEv83hs+1p87IZ338+IXdk55+yXhNPjpihqXHT+YkDwLWt7163/9VOH8twrIiALQVjDI08RHnncwQv9E5jVwfHX3y1ieDQqZqGllRmRgVnud0oKZNosZedm6apUUwRUkYp+TEcQphTBhEpn0BTNogLtMUNOEDQaMcUQaYUSCaUgnaYgxcNTcxJrSpSgTAmHT0yIMJKX42qsUby58n5yLZ5bWlSgxXbLN0WkBApIYCvFM+v7Wgzg3AIIsKK+9jxqyNJW5vjs+8bRVBCY1RHiI++agPAF/KoDf9wFEGKsUoLXsnGS5ZZssdiMrNknF+Cu1wQhRv5MNF0tdhw99GHP25uzmY1qRQCo46Jz6jh/TR13/srD2GQkjigSVWRBZnDrpsEI3KS73xudOCwF7rRpMJbUGTW+0xxahcAiDXiY89Wv2ODgSfNzIV9oamfWGjCBPe1KMPdLc+v4UVc2FXAJKY4uFVFVhoELMoBMRlBUNsgZOMJICYWQv0N88Rq+C8XHIyai+uUWBA8hQoGmPMfaJQF+vMnDrx+rY8MZPrhwMF5pRq0G/N5Vi6rVpku+LMj6VFtr00sGuPWS9wTwmc98XlDXxQ92txat2U3h+oNHh6y6P4kLVozjczeO4M2XVrFyAcdPH/YwOBK1T9YBHfWHT2fjeCTgsqhPfArc1gzBrXsrdUmfXgCKVqQXBRk0RFdCyaAwxPRtlMzTnxM17p9xl1DmSWXdSaw5pCnNEkyxNUh7L23GbFCSSVt2xt0oWeQ6Pg1FWn9irHxVEEqLi0/tls78spjA7gM23v/FMh7YksOO/Q6W9wboahEYHG7CobE19WJ58RdKzp7PtnSuC04Eoy9Zgqtx7nxe99z5nx9dMFRfs/TZmwdHD7LrNvhYfwaHqBAWdwcoF9TapoSeGNk4EtweAR4TSeAUE6nYkmxakgXudBJDDBxmgr1BYkMDs/57p+4CU/3eDXbvaeiKSB9KJAdL2n/BpCyRedGQyNFrimlH0kpbCBHV2KHIIKKKC0mrCeOAYPIDuGn+bpDkApEJMXLUSEokubhhdUmlU6tSFIxUcqDAaIWw86AD5Gw8+JSHj/2DizddOIx6UOTLFs29udh61t9u23OkfqL4fOnkJhpvvf53sXZV3+R1V82648yVF4ix0TbMbS+jVi3C9x3UfWWaisANhpieaPVLdHA7TNpBDTc8iyrCxpaTRnATM4E/pUMnBhbFwI9fpni5ct/HKIyPER/BkIbQ3jsGvk2w65GEWhis9mC641PzFOdO9ift/az0NhWnYpZg5lqqm54QEYapIvpG8FU6IMtqTJYQScocIJVux2aA7QJOGbv7O1FwWrFyxXoxht47Nm8/MHn56645UXieuAQHgMBaimJHfodbnPP+y9e33nJo4H7WlD+MpmItCRiKEaTHd7NYocwxAYep2t1Jr5zGbJxULW9k0xJGJvgaHDoR39dv3+atPAV0Y2FooNag3HhLnwHE9YAraA4gzf5NGucmbZ6I3oi9lun5QKyAIg7Qkg4gFimfgLSTSyEswJQkp0TxlNdKyNgVRaUAUGQfF4LJZlRqkSXG+ugaSinOiUMwllwTIgAWLMdBd9lBb++1fN25S9/fX5m1I0/DJwOaJy7BAWDRwnU48GJT/crLLvzW+av5R2d1N8GxJ2DZAYgJFPPq59OtJxYYEbwI3C5L2vnZkcElruOtpDbL6IjGGsGt0w7Tk5mSzBlgNvhoAwXJ4KrT+S5nIL7FFM/112mJHBcDSknyZB5pVhbtfaga4nroLSULIS6AaZZfbviLa4yTIc2VlJfPo0AswRAKFiVVsPicJqoEcAEr9CGqFRRLrXhqT/6jPQs2fKvI3PoZK887GdA8ORIcAHrmL0RY7wsXrb521/DhwthvtuwvBf5RbDwnxPt/t4Knni9gTCQ2cGIEl2ng1iiJYQJkgAWTT8fAZQrAZuirrrRlRgbqilBqDtKg16hIekGk6Y0O6plSEwVgXWo3PMLclraiUMSxE3MgVJXimItDK0Ohd8wTkN5MHnkzWdQmkAuKOhInp8Ki6yG4KpDJpCOUyXxL2cZbNIQXAMqeHkIIhjGfcMvtBTihwIZzB9Ha0okrLz9/7OpLL9717K6D4eoV808WLE8ewAGA2QXc+0jlzlWLXnfjv+8rf/npp37YtmTBNrQ18cgqkHgsXQbkmZCNWJlp604cMY10pBG4IrYgNFAOypifluIaeNNUpAHEUCAmg6Iki0ObODNm0rh9CgCnPPnx3NiNj2SRJFI+oS9Kz1RglTEokaIZgRwkYroiCEmEIYmMO59UchkJQFGUKAbGik40iL4pkYUwFGBkgVsMnBEGRj20N3n48DvyuOqKaweD/LoPec6BO/cdmnUyIXlyAU6sEwAwMDh26wfeeZl9sA9f6HT+T+cesUdKbkizoBOBO2dptm6lRGYBW+PaJl8WjYBGI6jTP0wDqLOUwzTgNXOb8Z0TtmAA3piTdbEybNyN3F2YU7WkhhissedH5+kRqHUuHr3gIAloJNw8Bnn0mSpIS4XTqmsniCJXPsUxRoJkaQem6wKRImsp5SK+u3HY3IGAD18wWOWFmLQuP2KVLv4fYc2/ldwVJxOOAE4ywNVobyuB+yP/1LJqI/vto89+7v4nj3bWKQ8wD67FULQE8paU3M4U4M5MClaPKa6tpDeQLa11aqKwY+yPxn3kNn1nM/wvLbGnFdhTvJk2E2ZJdRF9tGEmBBJKEuFbRBdCmQiVKTGhJCK6AiZVgQZygoiroTBIoEohojdnjcyT0J4rkDMJdEu31liRqinkZ9eZALN8XHZWDfn23iOXbbz4k0cGw3/q6mg+FVA8Lqp43OOzX/0OgpD/17t+s+d/PfH04TY756FoA3lLxEqkUigtlirzEJ1dLKWRkqo6b0bGYsiU6JR9V4iVVDJiUZSlJd7XCK5SgVSJw0cPvIqPxxIHT9qxpNvl43PKCBAj/brE3eyS2BPDqaV1u0tblfT67gxRky3oOozZd0muX3MbUu+rVot6DEvS4FdVVZB/th3CcXzknAnAWzDoltZ8lIh9p9R94ynD4Al5Mo81fvnTO7DgvHc82VJufbGUs66aHB72yh5Jzm1JYDtW9Dx6rYNdt5RQ6tFQOKfJnE8eU8BKc3RGqfco9Rkpr6Uxx/RSxp5LNtV75p1C92CmTZnpBQ3tOzXoDBnbDeJFyas4I4nif4DySoqsbfK1smPr7VLSGfuqb6c6CxkDwxCENnxfINe0eKypefGNDrO+X+j+wLTRCic6TglF0Ud7kbjlNv2guzg7WNiG7/72mb6cL2zZKSuiJoqD6yBtsDOT8WA6WAAD1AYokCG5qeGw2Y/auejzG257qXPNnDPN0BVJ0rapF7EJMObdio5HnBwJlRGkeTQpISGAnK8Tk5gYRXSGIOJjJBQlmhLxIH2xJMtFfgEVahsKAUvw+LwsQQDjqEwSvKYzqz51/CEn7/bKZDBt0Z6TMU6pBAeAh++7DW//T9eJjatmPTdYqT9bE+za/kMjdsGlWGI7loCjpLiFuERcfGulRgmtt/lrKL3W8KjiQ7KV0FgaM2RK8ISCaIuFkbZ/RizKMR+zOL+5sPTFpivChvIcY40a9tf3NRYqkfaa4s82lqaS1NC9odnlKMK4sZUqIpQCgSA4dhVtHT1VJz/nXQeGz/m3ykQl7F317lMNv1MPcAC4567b0bHqclHobX+uJJznW4v2m0aGhx0BWXbQdeRjDHCWoiH6j54BTqOnZRooaJTe+o9+bHBPxZ+zAPvSAa4+P4uq6Hek6cybiL97AtoEuNrdDMk2daF0Z3NMSyJwqs5uOiGKu0go93xIkcMnoSksijmv1glecUmlqXnOu+evqt1eogN8/sr//nJA7+UBOABsvv9HuGLDtXjn+iPPeqWeF6ohe93e/tFc3hEoeATXIThRc0+VIGBYKcj8gbPs4400hTJBTUgcGLFymAI0GXeIqcCclt5Zc49TgmeBOfXd49JxDXMbq+EitX/aLKpfK8mtk98s5tsJETHyRpX0DkLtMUzKTliMo5CrI7TnjQxVl733T7+EH2xYVcTsJe99uWD38gEcAH7589ux7oo/wKY93tMdHS0HVi7qvoT88QIPJuG5DK5NsO2og60SIJoTIy3Bp4wK1MENE0RpRTQL0DpnNxVQPQ0tmZu8lwb5zACeRSnUc6TBDACaZQlEUy+IeE5q4SAF+OTDgLSkTimX8V9ESYKQIQgYaj6DHxACzhCEDHVfwM21YMHiMwYW9ZY+tGLN2Pc7imWcv+H3X07InVoz4XRjYGAYjm3/twc2/ebz99z7y87hkVG4ti1bynGBui8bDdUDYWbr6wDWjpemfQaHPRY9IaRKSmhUhCUS2uDkMbVIsukbF0DjQjC5e8aiZcl5JjRNGBRKmQhpuucZJkRGyqQnj5mA/diGjHh/JIskDAk1n2GyZqFWl4X05Z0xRL5QwplrLzmybNUFn+Bh8O1C8dTYuY81TrkVZarR3t6CSqXy7ddfeTFZFn3unp/f31mdHEc+50IAGBkPMVENEYZClkgg/Qc347WV8+NE7E2JbNIYqn5niEwdpM/PolCZx854QyTWOHXuhCTyMr6DRfsrd7u0eEBz5qSsK9q5px1HaStNcpekBORakJbxHaILke6VGoRArc4wPM4QhAKOFaCjrYRVay49smzlhZ8UAqcN3MBpBDgAFAoFjI2Nf+ui9esCx7G/9Nijm1uFPwLb5ugfCLH3CEe9TnBtAcdWF1o2mVKSODahaRE+0wJ9Jves5P6f7NKgnJFxM482Hfct0QCgMD7WqDyrf1dCKk5FRVadyP1YIOHasV07uZaMIINBI5OhY3G4uRC2DWzfy7HvkA3HIfTO68RZ5140tHzl2o8T49/NecUTOKkTH6cV4ABQKjXBr/u3XnjBuYO1yaOLy/n6Xw8f2uysWTaIvhEHjz/TjDnNYdxdS4XPKtc8B+ISwcCJSXEApkVC/dM2GIqsNi+Wwinurc+Jh27j1k5Yn98gfTX8qniT+DagpPVUEVzH/Mry4ElGUNI/XoGckVTYGJPLwLFDdLRMYuuOSdy1pQkecrjujRf4nW35P1m07OxdtpO7y3Gc4z+ZkzxOO8ABwHEdfuTgjjsvv+Iqd/DQ9kowq/a1waM/J5/XWdWnGDgWkzZy26IE4Fy2xTCK5yQPjbQhCwRTWCEMh1GK0+v7pJ1QmWMa8Gaenp7hA/k5Akm/mjjaEDBjVZDMm+58DGVTP8foc6UCGdm2kfBvRjK+BAR4bgCiCmpo5ZesXy9WLF/6gbPOXPqd3S/sr69dc/IDp17KeEUAHAA6Zy3F4OFn66XmzltbZi144AebznnrobGxv/TsAdiMYDOCZQGuTXDspK5eEMoKTWEkxbkhww1SkVkuzZwZPW+waKSURpAh2NVOMYfXJbdJpqceKV6tH0ZREyAOKIy5eAxsxaOn+RxC1toWhh4gl4hMfAgCQj2IIgMtIVuiEBCEAkHAMF4RuPy8OZg7f86fP75n6b/2zOl+cVffofoF5656WTAzk3HarCjTjd/7xL/gkQMl6y3Lhv68MnT4z/r37bXCoI5CjiHnMXiOzOcTAqjUQkxUOCZ9gTBMjhHHiINm5MG0WPLcsKRo2fPpYCozXiVjEWh3Bd3qAqTPAfG2zJgazXoSd4lLFwXSgq+SqlRJXH1sTVHHAJLmtzCtKkFIqNYsjE7YqFQlTXFsAc8VyHshcm6AnOegp2dWOGtO6X92Ldx/M4K2kJwPn27oNIyX1Q4+0/H0Q7fhT97zn8VffuwdD9z9o+97RFg3NDRsg/vwHKBUcFAs2mgqWGAkMDDKMTGZ9BY1ObQJKN3ZkbZ5G2a9VJk2wxaeAeos76b8XNMen9wNtPMBGrelztO0g5sLdiovL2nmQL26V6MfQEUBSiC7NkfACf1HLQyMkEwcBwORgOswNJebMX/xBbWFq677YtusSz59w7veJ8qdN5xu2GSOV6QEV2N0dBRjkyFcmz63fcfu9f92x93Mtf31Ihiz25ptdLdyMHsU37uXsP+gi5YCj2NaVOkzU6pmhKWmJHgSJkDTSm+mA5elpbXeoS3tcEo5eoApX2eBMWmXnkhwK/3ckOAi+m4iZVNPEoLVPrbF4TohysU69hwO8b17muAKB+1lQjFP6J3XFnR3OJvPv/ANvHt272bHCj9ZqXsoFl96YZ5TPV4xHDxrlMtl9fSTd919N668fF2pVp345tjQvrfZ4gCb2z4EYQ9hPChhZNJD0aMo6F4C1hiaUgboFock4zxztR+DeycZQloPH21n0o7TMPSMemHOIzRahAwurpRQo1546tQ1ncNYNCk9RUQ5kxYTsG2OpkINudwE9hyxgarA6oV59PbO5QsWLbytXG66Ycfu/rF5C9e+PCA4wfGKBrg+3nT11di/b++Y7eT+aGzkwM6hg1vP6CjZ1939m/04MFBG3GxLmFIPIC28NMpFZBpYdE1O4wBpyT9dHIqhVMI0D6Z0TmM0LjY0WIHS82V6mVYmAtnzYypDprQmZs7UW56oc6gHFrqaAyycM4QavxBLlrTccfHF5z69sLfnK5VKday3t/c0o2Hm41UDcADomTsfAI5Wx/d8esH8ty7g1S1wnu6+ri2/B4LGEIYya0IWCqLYIsGFkN0yEJm54hQvTXqmbNbZHN3k2Uksh7ZNHWMaYBtDOxdkAF09J7Uo1fFF4uDigsDiL5V2QSrlNqkYKy0wUSH8qF+PUn4F5zgyaKOjfQ7+8K2rcWD8vDuu3rD6QwPDY31dXSc3IfjlGK9oDj7dEHw/QPaSzY++uGZooPbBp7btuOSH920DVUfQ2WLDc6SUq/uAr9z9UMWEKGlLbqlyx/JHlttlPW/13ODjkcKZKHsZCiWZ5kLT7EgGbUi2J68b6gzGXN/k4oyE9AswwIoyo1Stb8mro27Uloi7UitHDeeEesBQ96U1ynU5mosT6GizUcG56Jm3YlNIzld8e+mTJIKdS+Z3HfM3eSWOV5UE1wexHgDYKYTYCeBpZovZCxYt+8au7c8t2b7tSYtRiDBkqAcc9UBKOkaQXewsATZNjeO0oqfAbyqPMwP3TIbOwZVLnlICWQBJQwR1bCYld7x/yoqEZFrUcj2pGS44UA8YRiYY/ABoKjjoXXRmOHfhwp37DuG9s3s39AuO7Y79qpWBmdfiVTv29w8iCMMFfX19PaWie9vDm39dfur5vuJj24YwVrXQ5BHcqMCtYwGeQ3Ad5fZPLCV25ClVYbu2RbAsgurUoACoX0DDgsLMS6ornmkJDsB8Dhj6gxFQps1XtnLLkmY9ec4yXicGcWTzdiwB1+Hw3BCOzWExAccOUMjVMTJuoe9QG6zc4okL128c9Zz69V1dPfsZs/qcXMfp/klPynjNABwAuOAgEAvqleaHHn3uwsmq/48PbHk++OUjO9us6mjJoRCVukDeFWgpMuRdSUGUwmkxwLYpjkt3LIJtM1gWizk9gKTuNhLQxqG101zhLIA3TFd8X4u3AbSAsug4lsqAspXtWsCJ/mxLxL0wbUsgnwtRLlSRcwPUAxu5HNA7l8bswhmDrGmNXQvs93je2Q+3tnojAuCMXjuweO18E21seeoFWLbFKuNjuYsvfV/tkd98+2MPPbTl9595bpc/Wh9ZMXiUck1WBc0lBkYMIxMcQkipLiW7DAdwHAbPsSKQy4vFBWQILxex619lICmODCCJJdHMfw02cj3eRKMoRs3F6BAhB8Iw6r5HEtyOHaX7OQKuI+A5AjmXI+dyBCEwNGaBCGht8jF3tsCED5TLK8bzhZY9S5af/c/jO9/wN03Lf+zlCsUqEHKiV0b8yMkcr0mA6+PJbXvgODbd+4uHcObyqtXVUfjaA1vdZUf6+zaG1QHLdSv47a4JHOjn6G6xUSpYcB2C6zB4LoPnWvBcBseWwAs5oVINUavzSGmVFMZiFHs9QRKIXDVrheZ51Fz1ALTIPRXMJOfoydcAUK0Dk1WBkPOo9DDBdQl5F8i5EcBdgWLOR1t5AkdHBZ7Z3Yyu9masWNIeLl7U/eDOwy3+hedf+kS5aH+8VtlLPAxEobz4dP9Ep3S8apXMmY41K3uBRFAGA4PDN7x7kds6MDD4V49s/pXbXng2LLR45zz+bOFcURuEhSrqdQFGNnKupCs5F8i5QN4TGKkEODwYIgwAxyHYxGBBWlnsiONzZb4LEZdQM5IlNLMjF0AYCIShgBACjBGciLgzkvqClNQBRsd9jE4Qci5DzrUAkjSKiCMMA4yOA6ViDu2dregbmXz0xQH7sTNWL7bOueCyektr25/O7q0PFYpxCOsprUfyShmveQl+rPHd//sAQHQJwtpVLlWuZ6gtP3R0As8/vx0tJYZiLoDNAuRcgYU9IR7dOYEHH3fQXXbRUrLgOgyuw5DzLOQ8wLUlaCcqAuOTISAgObxlpqxZlgSvEMDEpMBExUcoII/lWshFSrHnAm3lEN0dQ9j0RB1bnyxjTjuH6zDk8y5mdRTQ02WhZ95CVP0mdLZ5z8+dbd+Wy1s/F0Js6uh5w+m+xKd1vOYl+LHGu992GQBsGhoa2gTgQcHDxfsOHOUv7uvny5Z2L1y0oO0Thw7uB8jGvO4d2LJrCPuONqPsEtqbbQSh9C/mPUkXSgWBYj7E07sFDg9xlAsWinkWO4Z0ypL3gFIxxN6DPvYd5Sh4AsWcBccmWIyBEVCtCwheQ3NhDIOTAWrUgzNWz0atHmDevHlAMPL5kjv4wuo165nltjPPtXYB+Flzc+vpvrSviPEfHuBqtLa2AsDP1OvK+GHYttcyMty/2bIYqnXHn79k9offkLvo9T0LPHQ0EWrDj+L5PYM4PJjHrLyDjlaBUqGCuZ1H8ehuHzv3l7BirovWkgxBDUIBz2XwgxCTVaC5CMzvGsX2g5N4ck8zVs9zkPMcOI6L2Z2E/UM+RifLuOKsSzGrs4arLYGVK4v3LmivfWlsMnRWrViJBfNmb6rW6sOze16djphTPf4/wKcYhaYuABgG8GMACCZfBAjPLfN4d1cX464VYO9zz2D/YY6DAzZc1wZjVX/p8nNvai4cfPO7rh30rVwn5rTkMK+boX8gBISFrjYGohr6jzLM67JQ7hrFKAJs3NDmnDGv+JMnn3j0Jtu2naYCEAwFqPE8euavRnOJsLYo2NLF3iEAL6xcMvt0X6JXxfgPz8FP5jiw50EA1G2JF5pL+cPiO3d3oiWfQ08Xoe9gAAYHc7pkGbM9BxjmdDgol8fwj/cAs9ta6LzlXSNciENveePG0/1VXjPj/wH99A5dqfBbFgAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzoxMzo0MiswMDowMJrwuacAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6MTM6NDIrMDA6MDDrrQEbAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 220796000
{'hecke_orbit_code': 49540351848874530, 'n': 1, 'trace_an': 4}
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id: 220796001
{'hecke_orbit_code': 49540351848874530, 'n': 2, 'trace_an': -2}
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id: 220796002
{'hecke_orbit_code': 49540351848874530, 'n': 3, 'trace_an': 2}
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id: 220796003
{'hecke_orbit_code': 49540351848874530, 'n': 4, 'trace_an': -2}
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id: 220796004
{'hecke_orbit_code': 49540351848874530, 'n': 5, 'trace_an': -2}
-
id: 220796005
{'hecke_orbit_code': 49540351848874530, 'n': 6, 'trace_an': 2}
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id: 220796006
{'hecke_orbit_code': 49540351848874530, 'n': 7, 'trace_an': -2}
-
id: 220796007
{'hecke_orbit_code': 49540351848874530, 'n': 8, 'trace_an': 4}
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id: 220796008
{'hecke_orbit_code': 49540351848874530, 'n': 9, 'trace_an': -2}
-
id: 220796009
{'hecke_orbit_code': 49540351848874530, 'n': 10, 'trace_an': 1}
-
id: 220796010
{'hecke_orbit_code': 49540351848874530, 'n': 11, 'trace_an': 1}
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id: 220796011
{'hecke_orbit_code': 49540351848874530, 'n': 12, 'trace_an': -4}
-
id: 220796012
{'hecke_orbit_code': 49540351848874530, 'n': 13, 'trace_an': -2}
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id: 220796013
{'hecke_orbit_code': 49540351848874530, 'n': 14, 'trace_an': 4}
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id: 220796014
{'hecke_orbit_code': 49540351848874530, 'n': 15, 'trace_an': -1}
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id: 220796015
{'hecke_orbit_code': 49540351848874530, 'n': 16, 'trace_an': -2}
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id: 220796016
{'hecke_orbit_code': 49540351848874530, 'n': 17, 'trace_an': 8}
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id: 220796017
{'hecke_orbit_code': 49540351848874530, 'n': 18, 'trace_an': 4}
-
id: 220796018
{'hecke_orbit_code': 49540351848874530, 'n': 19, 'trace_an': 1}
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id: 220796019
{'hecke_orbit_code': 49540351848874530, 'n': 20, 'trace_an': 1}
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id: 220796020
{'hecke_orbit_code': 49540351848874530, 'n': 21, 'trace_an': -4}
-
id: 220796021
{'hecke_orbit_code': 49540351848874530, 'n': 22, 'trace_an': 1}
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id: 220796022
{'hecke_orbit_code': 49540351848874530, 'n': 23, 'trace_an': -6}
-
id: 220796023
{'hecke_orbit_code': 49540351848874530, 'n': 24, 'trace_an': 2}
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id: 220796024
{'hecke_orbit_code': 49540351848874530, 'n': 25, 'trace_an': -2}
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id: 220796025
{'hecke_orbit_code': 49540351848874530, 'n': 26, 'trace_an': 1}
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id: 220796026
{'hecke_orbit_code': 49540351848874530, 'n': 27, 'trace_an': -4}
-
id: 220796027
{'hecke_orbit_code': 49540351848874530, 'n': 28, 'trace_an': -2}
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id: 220796028
{'hecke_orbit_code': 49540351848874530, 'n': 29, 'trace_an': 4}
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id: 220796029
{'hecke_orbit_code': 49540351848874530, 'n': 30, 'trace_an': -1}
-
id: 220796030
{'hecke_orbit_code': 49540351848874530, 'n': 31, 'trace_an': 0}
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id: 220796031
{'hecke_orbit_code': 49540351848874530, 'n': 32, 'trace_an': -2}
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id: 220796032
{'hecke_orbit_code': 49540351848874530, 'n': 33, 'trace_an': -1}
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id: 220796033
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