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{'Nk2': 21420, 'analytic_conductor': 42.759890282395645, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [7, -1], [17, -1]], 'atkin_lehner_string': '-+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5355, 1, [596, 1072, 766, 1261], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 564, 'field_disc_factorization': [[2, 2], [3, 1], [47, 1]], 'field_poly': [3, -5, -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': [[2, [3, -5, -1, 1]], [11, [36, -24, 0, 1]], [13, [4, -4, -4, 1]], [19, [-2, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227304171, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5355.2.a.bd', 'level': 5355, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7, 17], 'level_radical': 1785, 'minimal_twist': '1785.2.a.x', 'nf_label': '3.3.564.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}-q^{5}+q^{7}+(1+\\cdots)q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5355.2.a', 'trace_display': [1, 0, -3, 3], 'trace_hash': 1014717385325148057, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.039', 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-0.3188224781404454, -0.32083396755157645, -0.3363743644592429, -0.29477559155591593, -0.20423627238540215, -0.3782095307478332, -0.3713465107616855, -0.25729401911802896, -0.2669962034398352, -0.14117969202108982, -0.27559779745962126, -0.390686067072453, -0.10531682491914598, -0.09120994215333848, -0.40835916490463775, -0.22727990900339595, -0.27186044094065764, -0.2541180425830273, -0.07963612089451017, -0.24226380295653174, -0.26972404100070985, -0.23651800522203106, -0.2782123305867992, -0.2160040151715739, -0.31150317259165006, -0.32450995872252497, -0.1660034841922553, -0.1291433859618722, -0.30245147780152304, -0.16541684423922606, -0.17819111564422427, -0.23691186351935786, -0.17668737987635316, -0.10502891631391857, -0.3431492273156327, -0.2906116866811479, -0.22222970384998197, -0.4668373703727146, -0.2944550472944875, -0.4063802370878411, -0.29499725253157755, -0.32498718618019595, -0.2046621778756102, -0.38364714075452017, -0.36304529925905493, -0.3238856882359454, -0.24608704064383413, -0.2935482259402919, -0.13451215572914407, -0.2603340825082349, -0.32532583636718243, -0.18513296912894675, -0.16504095504925306, -0.166938674826978, -0.3845558067708866, -0.3844140171394176, -0.20768804118525502, -0.2980772257086643, -0.2122061375702122], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.514136929335291, 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227304171, 'label': '5355.2.a.bd.1.3', 'level': 5355, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [6, 8, 12, 6, 8, 6, 6, 12, 13, 12, 10, 13, 12, 13, 13, 10], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [39, 50, 50, 42, 44, 52, 48, 36, 42, 39, 41, 42, 39, 42, 42, 41], 'Nk2': 21420, 'analytic_conductor': 42.759890282395645, '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': [5355, 1, [596, 1072, 766, 1261], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 849, 'dim': 160, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11, 13, 19], 'hecke_orbit_code': 33559787, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8], 'label': '5355.2.a', 'level': 5355, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7, 17], 'level_radical': 1785, 'mf_dim': 880, 'mf_new_dim': 160, 'num_forms': 53, 'plus_dim': 68, 'prim_orbit_index': 1, 'relative_dim': 160, 'sturm_bound': 1728, 'trace_bound': 13, 'trace_display': [4, 0, 0, 4], 'traces': [160, 4, 0, 164, 0, 0, 4, -12, 0, 0, 8, 0, 0, 4, 0, 172, 0, 0, 0, 0, 0, 16, 0, 0, 160, -40, 0, 12, -8, 0, 16, -20, 0, 0, 0, 0, 24, 32, 0, 0, 24, 0, 16, -8, 0, 24, 0, 0, 160, 4, 0, 72, 40, 0, 0, 12, 0, 72, -24, 0, -16, 8, 0, 260, -8, 0, 8, 0, 0, 0, 40, 0, -32, 24, 0, -48, 16, 0, -32, 0, 0, -72, -16, 0, 4, 80, 0, -32, 24, 0, 0, 24, 0, 96, -32, 0, 40, 4, 0, 164, -96, 0, -16, 8, 0, -96, -48, 0, -32, 48, 0, 28, 72, 0, -8, -8, 0, -80, 0, 0, 136, 24, 0, 216, 0, 0, -56, 20, 0, 24, -40, 0, -8, 40, 0, 0, 96, 0, 8, 0, 0, 184, -48, 0, -16, 128, 0, 96, 36, 0, -12, 144, 0, 40, 20, 0, 40, 32, 0, 40, 36, 0, 8, 144, 0, -24, -24, 0, 172, -12, 0, 8, -64, 0, 4, 8, 0, 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-480, 32, 0, 0, 440, 0, -176, -44, 0, 160, -136, 0, 0, -64, 0, 88, 136, 0, -320, -16, 0, 120, 152, 0, 56, 208, 0, 24, 328, 0, 160, 448, 0, 0, -632, 0, -504, -56, 0, -104, 176, 0, 32, -56, 0, -80, 240, 0, -192, -56, 0, 120, 32, 0, 24, 8, 0, 96, -264, 0, -328, -24, 0, 140, -136, 0, -344, 56, 0, 480, -92, 0, 104, -120, 0, -16, -104, 0, -408, 448, 0, 8, 0, 0, -496, 8, 0, 192, 72, 0, 264, 72, 0, 336, 48, 0, -56, -80, 0, 592, -536, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48701732
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 130604389227304171, 'source_is_minimal': False, 'source_label': '5355.2.a.bd.1.3', 'source_level': 5355, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 130604389227304171, 'target_is_minimal': False, 'target_label': '5355.2.a.bd.1.3', 'target_level': 5355, 'twist_class_label': '1785.2.a.x.1.1', 'twist_class_level': 1785, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48701733
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 130604389227304171, 'source_is_minimal': False, 'source_label': '5355.2.a.bd.1.3', 'source_level': 5355, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463077625, 'target_is_minimal': True, 'target_label': '1785.2.a.x.1.1', 'target_level': 1785, 'twist_class_label': '1785.2.a.x.1.1', 'twist_class_level': 1785, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48701734
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 130604389227304171, 'source_is_minimal': False, 'source_label': '5355.2.a.bd.1.3', 'source_level': 5355, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 184647584755753693, 'target_is_minimal': False, 'target_label': '8925.2.a.bp.1.3', 'target_level': 8925, 'twist_class_label': '1785.2.a.x.1.1', 'twist_class_level': 1785, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3872725
{'charpoly_factorization': [[[3, -5, -1, 1], 1]], 'hecke_orbit_code': 130604389227304171, 'p': 2}
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id: 3872726
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 130604389227304171, 'p': 3}
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id: 3872727
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 130604389227304171, 'p': 5}
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id: 3872728
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 130604389227304171, 'p': 7}
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id: 3872729
{'charpoly_factorization': [[[36, -24, 0, 1], 1]], 'hecke_orbit_code': 130604389227304171, 'p': 11}
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id: 3872730
{'charpoly_factorization': [[[4, -4, -4, 1], 1]], 'hecke_orbit_code': 130604389227304171, 'p': 13}
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id: 3872731
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 130604389227304171, 'p': 17}
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id: 3872732
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 130604389227304171, 'p': 19}
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id: 3872733
{'charpoly_factorization': [[[96, -32, -4, 1], 1]], 'hecke_orbit_code': 130604389227304171, 'p': 23}
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id: 3872734
{'charpoly_factorization': [[[156, 28, -14, 1], 1]], 'hecke_orbit_code': 130604389227304171, 'p': 29}
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id: 3872735
{'charpoly_factorization': [[[-164, -16, 8, 1], 1]], 'hecke_orbit_code': 130604389227304171, 'p': 31}
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id: 3872736
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 130604389227304171, 'p': 37}
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id: 3872737
{'charpoly_factorization': [[[6, 1], 3]], 'hecke_orbit_code': 130604389227304171, 'p': 41}
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id: 3872738
{'charpoly_factorization': [[[328, -52, -10, 1], 1]], 'hecke_orbit_code': 130604389227304171, 'p': 43}
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id: 3872739
{'charpoly_factorization': [[[-24, 28, 14, 1], 1]], 'hecke_orbit_code': 130604389227304171, 'p': 47}
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id: 3872740
{'charpoly_factorization': [[[108, 76, 16, 1], 1]], 'hecke_orbit_code': 130604389227304171, 'p': 53}
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id: 3872741
{'charpoly_factorization': [[[-48, 88, 20, 1], 1]], 'hecke_orbit_code': 130604389227304171, 'p': 59}
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id: 3872742
{'charpoly_factorization': [[[508, -52, -10, 1], 1]], 'hecke_orbit_code': 130604389227304171, 'p': 61}
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id: 3872743
{'charpoly_factorization': [[[136, -4, -10, 1], 1]], 'hecke_orbit_code': 130604389227304171, 'p': 67}
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id: 3872744
{'charpoly_factorization': [[[36, -32, 4, 1], 1]], 'hecke_orbit_code': 130604389227304171, 'p': 71}
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id: 3872745
{'charpoly_factorization': [[[16, -40, -4, 1], 1]], 'hecke_orbit_code': 130604389227304171, 'p': 73}
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id: 3872746
{'charpoly_factorization': [[[-104, 116, -22, 1], 1]], 'hecke_orbit_code': 130604389227304171, 'p': 79}
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id: 3872747
{'charpoly_factorization': [[[-6, 1], 3]], 'hecke_orbit_code': 130604389227304171, 'p': 83}
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id: 3872748
{'charpoly_factorization': [[[-1224, 364, -34, 1], 1]], 'hecke_orbit_code': 130604389227304171, 'p': 89}
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id: 3872749
{'charpoly_factorization': [[[-656, -144, 0, 1], 1]], 'hecke_orbit_code': 130604389227304171, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 30, 'label': '5355.2.a.bd', 'level': 5355, 'portrait': 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y8YxC7LPcG6Mc1iS3NsTlFxPdZNwqaZkLVTA9ZMBaybCti01rBlneLizS5VVefwsSbfeMbjsX0xTx2NSFSH73xpi7fcYKiqKfYdHefwKYeTZxJmU3AfWDBcfek8/+Wdy2yeHuPk/ARnliostlwWW5LlTkK7m9AbCPYfXeDpI+2L55YOvWzb5Ilta+uzX/35n31j+N//4IvPNyS+pds/awZfWWmx0BZUPfPuI8d337By6k9kGHduuObCk07Q3cD80gSLrRoLKx6LKw6LLcHiSsJSO2JxJWF2BQ4uCmamV/iNH17kxTtrHJ+b5NSZOqcWHOYWDbMLMSfmE850YsYnB7zk8i7XXgSerOIrn7mlCqcXHGaXBL0A4lhT8TT1SsLEWIwGjs7GtLuwda1LvRpgjADh0e1rtqwLWFxxwFgpstKFIAaDYakVsnGNS6evEMogdECz4rJl/YCVnuDoKYdEO0w1JY2KwHchjgW9QDK7JDm9aJhbjvH9Abgx113S5YZLBTPNKovLTY7P+ZxagLmFmLmlmJNLcHDR8KJLFvjNH15m3XiTY7OTzC1VObPksdASLK1oltoRy62ExY5mviM5vAJRd47vf52Kver4/b/40+/S27Zccr9wkl8a9H2qtcbzDZVz3v7ZBpl//BefZnx8jNm5+d/+5Ofu/g8fu+VRf37RZXrS8Hs/4/OCbV3CyCdKFHEsSBJBolOdDWAAkSCk4dDCBL/xMcFv/9gcV20PaVQnqVcbNGs+jZrLeFMxt6iYXXb42gMVbrkv5oLNPS46L2Zpuc/FmwO+/3WaKFYIDF/8RoUzrQrVJODIaUW32+CK8xPOtGN273XZuVmy/xRcdyG0OhBqB98Jma7DvpNVatUIX8WMNQQrHbjm4g4HT/js3Ko5fCrg2YP233M3Dzg4ZxhrBCy1Q770tRpGKJIk4cYre1x/lWF2xeWqHQN2bHCJoya9fpXdhyrMLgjmlxPOLMfMLWmOLQnmuiFX7lzkv/xgl5nmBEdPjzO3VGVhJWXuVsJKJ6LdTWj1NK2+YL4vGfQDrt4Z8K9eu+ism155eXTmoxzuv+r6tVteqRtjjV/Z//SnueDytz7fkDnr7Z8lg3/oY5/m+qvWqy9+7dB/OXFy7ld27T2qjs9HzPYUC4OYF2w/wx/89DxXnl9jdnGCpZU6i60KS22XpZbDcgeWWwnL7ZilTsxCC44vC5zqgOsvXeL7Xh6yfU2dlW6TM0tV5jP2almJsNzRtPuadmDoDWKmmhFb1mpA4LuGE2dchPTZukaxfYNhw5oec8sBT+5v8MILDLXqMs8cmKRRDwlDl6kJTX8AF28Z8PE7xrlwc0wQGKbHJFHSp1HxefbIgKpb58qdMU8dCplb9Ng45bN9PWxZF6JUxIkF8FyDEIata2MmGpJO36fbc2n3XJbaiqUVWGxplloJC62E2RYsDhK2bOzyfTcucP1FDhW3yemFJgvLFRZWHJbaguWWZqUTsdxJWO4YlrpwuqOYa8Vcc+Fp3vOvF7l4S4XldpP5pRor3QkaE9uTxtia3z7VesFvTlYPJi++4c3PN3RW3f5ZAXzf3r1UKpXqyZMntjz4yDNvP3D41G/tO3iCWCu6gWC5JzjTl8x1Il60Y47f++lFrjivxpnlcRZX6iy3LciX2w7LbWh1NCudmOVOzFLbMNcSnOoaEF3e8tIWb3ix5rz1FcKwxnKrwkrXo9VRLHcFnZ5gEBjC2JAkoKTBd6HqG8abhjWTEY474ODpkKcP+Oi4zuuuCXHcFR7dPca29fDlh2JeepnPmVafiqOIk4jJCYgjF8eNWVys8ZKr2nz5gQbb18Mj+wNcarz2xZpY9Hn6YMLhExUc6bF2wmGiLqj6As8TKAGxhjAyDELo9AwrXU2np1npaRa7hn6SsHVTjzdc2+ItN4SgGyyujHFmqcpiy2Wp7bDcgpVOQqsbs9JJWOlqlrqC0x3FfDvmRTvneM9Pn+HSrVUWVsZodWu0uhXaXZf+wFBpbMKtbPjVqbUX/e3GjRuPBcGgf/4FFz7fUMpv/2wAfuL4fmZmZrz9+w/8yN49+997/4NPiIWljhyE0A803YGhMxCs9DOQh7z4gnl+9ycWuer8CgsrGch9Vjoeyx2HlY6g1TG0ugkrnZhWV7PcNZzpCE63NBPjPV79og7XXRSzda2iWXVpdyr4rgQUYSzRWqAN9AaA0Ew0Buw/adAm5LZH6gS9Kudv9Lj+8h6RXuHux8a58gKX/bNdWstNrr28x9ce9Vk7adh91PBv3txm9xGftZOS2x9TXH+xYqnX5tDxSa7cGXL3033ioMZ1l3js2DygH3e59VEFieDgCYdmzcER0OtLtBEk2hDFgNQ4nqbVNdQbEZvXB9xwcY9XvzBmql5hbmmMxZUqy217bpbbglYXWp2YVjem1U1o9QxLXclsV7DQibnmwnl++yfmueI8n4VlC+5216fT9+j0HHoDSXcgCOOq3rztMrNl246f3Xbejg8tLc6Hl1580fMNKeCfCcCNCWUc9t/41KO3nL/c0u956KFH3ZWuoDewEqE/0PQGhm6gafcFrYHVhqdbMdddfIZ3/8Q8L9zhsdIeY365QatbYaXjsdJ1aHUUrR50uoZ2L6bdTej2Na2eYb4rmO9ClARccUGfdZMJ3Z7h9dcGbFuniROJIw1hBHc9WeHYmQrrJ2KeOVgBXeOiTYqrLtT4lR6P7u8xv1Dn0m11muPLPPCUy9UXVFjsrbC83GTdOsNDuxU/+IouD+922LTGZaHbYnlpkqsu7vHAMwmT1XEuPb/LmVaLh3aNU3XqvOhCw84tA5BdnjwsWDMZMTcfcfeTLoNIISUk2rBtfcirrw3pdBUbJjRXXQBhWGOpVWOp5bPSdWn3FK2upN2Fds86JZ1eQrunWekZlvqSky1BaxBw/c55fvPHl7l6p8/c4jitbpVOz6fds1nhTl/R60s6fUG7m7DUCnnBVS+KosT5zz/w9jcdqDeqX6r6rn6+sfW8B5ndbo9uJ/jhxdMP//7i3N7Jk6db1GsSbSRCGIQAQYwQGoRAYJAClNAo6fDwvrX80gcc3nL9Eu94xRLbN4bMLjbxvSpV36Pmu9SrDp2qpNF3Gas79AYJ3X7C2kDTDwydgc/SfIUTxw1hrDk5G+P7BhB4yuBIQa+vELjEPYcXbBPs2GDYsrFHkHT4ysOKPQcmeM0Lfa66eJmPfMXgiRrbNvZ46gHFxnHFdLNHRVUJI5czHahXHDatFTyxJ+SqnVVefuUCH765j+c2eNU1Btfv8fWHQr78YJ1dh6uct6HGtvUJMxMh26cjLtuWoJTGUQYw1HyfmXGfMHLp9Dye2e/SHTj0+oruQNLtQ3dg6PbsZ+/0E7p9Q7tvWOnDfE8xt2yoNVv83Ovn+e7rA644r87phUYO7k7POj7d/N+0JNQPDFEiuPPuh91qY+r31657eOk7Xv3i/9Dv9z5crdb+7wV4MOiD4McP7H7w3ccP3DbZ77VwHZ+KL4gTgzaCzKoXMkEIUFIjpUFJg6MMnpQ8tX+Gx/fV2XfqDG++ocsNlwwYbzRZatWotys0+x7dnmWd7kDSHzj0AodBYBiEmjAyRJEhTuwRxh5Gg1QC1xFUPMF4QzDRgHXTmk1re0xPtPjqo3DP4y5Sj/GaF7q84KIO9+2KCAdNrn+BoNXvc2axznU7NdPjPaqOzyBWzLcjlBa8YKdDrRHw2N4KL7tqjGuv6PDYXgVmjBde4vFj37nE154Iuf3hOruPVdgyo1g3WWWiUWOsAVUfXMegJGgDuw9bNymKBWEMQYT9jEFCP9AMAk1voOkFmm4f2gHMdyVnOhDoAa+8cok33tDiB16lieMmswt1Or0KnZ5Hp+/mwO71Jb0gW2E1/SAhjDRhbJg/PsunP/uVSc9J/vvrX/0yp9vrfaBee/5A/rwBPA4XkCr8sdmj97x7/tida5Kog+s6+EaTaIHWqXoSAiHsUiwFKClQ0jKXqwyu0lRdwUKvyifu2MTXH2/z0stWeOcrV7hse5ep8RqLKzU6fZ9e302BrewRCoJIEsWCOLZLva3dskGl40DFg1pVM9mI2LimR0yX/ScjPnl3hUPH64z7Va6+xOG6y9s8tK/Fbd9ocs0FFbas7/HxOwRK+DQbESvdAG1ACZhp9mh3PHRc5Y0vPcMnvlxjx1yFN1zTI4wWufvpKaKkwosvWcMbrm5zweYWX3+sx1PHazx52GPTpGSyKaj5As+1F6EUIIRBG9DaEMXpxRoZgsheyIMQ+iF0BoLlQLDUAeEMuPLCFd756hVeeknCVLPCSrvOSseydnfg0us7dPuKXiDpDQS9gaAfGPqDhP4gYRAkDEIbC0ilOLPQ4kN/c9uahTbvftMbXmqOz7b+cvO656eT6P84wH/13R9lbL3g1//0q+/67mtPvWdj9enpZjXCkVUGoX1LxggwApAIQAqBlAopBUomKCXS5VnjOgbfMVQdwfJAsdia4FN31XnwmS7XX7HCO1+1wpU7WkwlVeLYpzeo0O279AOHMFJEsSROpL2oTCaBDL6nqVVifC/EcwNOLgbc/IjkwAmPwycmUNpnx3qPi7crXnhRG+XP8/TBBhvHa1x6HqybWWap3eSyjZJYG776sE/Qk4zXY1774gFfujvi2GyDC893Ob0y4NlDLpvXTnDF9nnue6rDA88KgtDjou2TXLTZ56JNHQ6eXuLASXh4T439h+rUHIHvSOq+oeKClDaoMsZerHECYQxhIugGgvZA0I4g1DHaDHjRBW3e+eo2L70sYf2kz2AwxmKrQqfr0x14FtgDRW+g6AeC/kDSD2zfaD9IgR0k9APDIMwuJBhEihOH2+z58NfWtHr73/PjbyCePfzHH+m2mux4wY/8ywX44/f/DVfdcID//kfbfuD++w790Z4nHhn/jR9rMzMxwVJbpo281ucVGMvcQiKlTJlb4SiB4yQ4qXzwHI3nGnzXUPMSxiuCTuCy3J7gM/c0uePJAWsnerz9xhYXbR4w6He5dLth8zpFELkkicrT/AKDlBrXSTg6Zzg8K1jpa75wX42TCxOY0GWiotgw5bB1ncN5G+HSHW20XOB9X6qztDTGNRc5XLqjxdefFIjYZc2EpF6L6UUe0kgwEuV4tAaCuSXBJabGjS/scP9jVTZMe1xz6SQ/+p0LfOjLHR7eW6c7cFlcabB9Q5UL1/d48c4O3/OyDqeWlvjCfT6LPZ+jp11OnvRwlUBKiUCgjSHREGlDEmsmpiIuv6RHEERctDngrTcGrBlTTDZ8oqjC6fkKvb5HL7CrXD8HtrTgDgSDALsSZOAONYPQ0A8Ng8DQD6EfCTqBYL7v0pCzrPMfnx60Lv2jkytXRVdd/8hf/6+/+AQ/91Pv+JcH8PbxD9DY5IojT29420NPH3p/d+VArSYjHCeiVhkQRJathTAgsMGlsKwkJSgpLbhVeu9YIHqOwHM1FddQjQy10DBWSZioCnqhpBPWOXyizu/+9SToGBHHvPDyHtvXhcQxaKNt/QrCrhRK4Lgee4957D5QoV5xaHiS6ZpgZkqyZtJhw4xi6/qEC7eukIhF/vizTY4eG+eanS4XbUvoxx2+8bTPeNVlasww3gipVa0U0lrSGiiWuobFVkKrW+Ull67wyO4ee44pxpsVXnzJOD/xxkX+5HPw2IE63b5hpeMwt9Rk3XSNNRMDtk4N+P/e1qNZa/HUYdh7XOK6BqWMDcgx9n8G4hi2rUu4/rKYJHKJYh9jagxCl9kFj35gV7RBqHL51g8Fg0AyCAX9AILQavkg1AShzsE9CA2DKAV3KOiGgpVQ0ooME4TUqn2ePrRv/I7HZ97/N1+/Nv6PP/e2u//NT5oz3Yik4f3Tm3j/RwD+a3/w51z585PqvT995C0v2HLiIy+55JnKf/qRgJofsXV9QhA41PwC4ELYIFJJ+4UppazmdmxttOsIPFcRuJIg1PhhQhAZqpEmiDRhaGjGEESaIIYwFgwiSZD4REmFPQfqPLkHEmOw0Lba2JXgKVvz0fDh0vXQrMJYXTLRUEyNO6yZhC3rAtbPrBCZJf74s2McPDTGVecpztsk2bFpmTufjZlbHOOF2yUTTU3F6+NLH6MEcSIRxhAnIcvdCnOLLlddVOUFOzvc91iFtROCWqXBVTs1P/eWRf7oc5pnTzZY6WpWOor5ZYfp8ToTzSoTzTGatYiZesTWq0J8N8Z1YpRKkMIGEwZ7UUWR4sy8QxQrolgRRoogSu9DSRBJglAyCCVBKGyAGgqC0FhQR5ogsOc5CEu6Pv29fgTdUNCOJEshxEnIkdmEP/20j+dpbn/4QO2lV4u/mju9v72muf6F8WBw/P8E9v7JAf4ff/eToOrq1Zefeetf3XLmwzdd/lhlzaTmK/e7SKlYM9Pl8i39VHNb9slckuxwlcFRCtcxOI7Ec4X9ElxB4CnCyAI9igxhnFhXJC4dCcSJIUk0iSYNYsnBbd0ZcCS4LviOoOILar6kXlOM1SQTY4I1kzFb1/Vo1Ff47P0hdz89ycpCk8u3KLaud7lg84BErPDVh2vUXYeZCUWjNuDpg7DrkMNlmw29QHHFBRGX7zDMnk6YX/boD2q87uoO9z7VZ/9JRb0q8b0ml52n+c13LXLXs32+dNc0i23D1jUJyy2H8aZirO7SqLnUq4aKr/E9je8kOMpKLSntd2AMNmGlBbGWxIkgjgVRLAljQRRJgsg6L2EkCCNDGEIQpe5IiTiCKDtI9XYK7kjQiiTtCAZBgIw7XLmty1tuHCBkiIzmqfqzfrxwnJXK+S/RbPj0/OH3JzPbf+LbG+BbGrHsBQvvOHV89s++/tBi5bP3nIckorOiMVHMwZMV3npTm7e/ssd4U6N6Gik1SmU+b4LrODiOg+8oPNeyTehKAk8QRsJ+OZEiiiGMpHUQ4sL2ixNNklh3ITGpU5K6JUKIVAIJHEfgOQLfk1R8Sb0qaNYM4w3N2smAmYkOsVnhU/dKPvTlKdZUKly+RbBlvcu2DZqt65f57DcMS0sVLlqnmGhCoxYxd0RyZtnH2w5BJJgZk4yPw/7DhuW2ZnahwgXbKrzihR1uvqfCVAN8z0PJcS7bIfjJN5zBlWf44n0T7DpZYW07Ys14zFhd0agqalVJ1XfwPfBdcBxroUphnacc5NgLO9GQJII4IQU6RIkhjCGKEksKqe0XpeCOIggiW7oQRFjmjoWVJbFgJRJ0I0M8CBirtPm+1y3ytld0eP21MUHk8D03rGCMizCH/IUz4+8PzJRjaPwNlme+PQH++c9/kSTR7/ravU//3uzxY80Nky6LgwqdyCBqCUZHfPVhn288U+H08hL/5nv6TDRjKr7NODoqwXNcXMfFdRJC18GLVApwm0q3jCMsE6WsFMcQJZAk1knQ2gZcWpushzMFtwW4UiINWi1AKj7UKppGNWa8ETMz3md6YoX794R89LYqew+Ps23MZcc62LTOY9NauHBLm17c5qHdTarKZWZCMd6A8UbAxFiM5zkIYS+ufuCx1I5Y6Rla3Zgzyx5b1jW49qIz3PZwj70nm9T8CFd5CDHGjo2KH3rVAi+68Awfva3BQ8+Ms9h1WNOMGa/F1CqSakXhuwLflbiujVWUIrUPLcoNtodVa3Kgx4lOVzdLClGsiRML7jiCMDbFEVlXZhALBpGgFwk6saAdw6AfY+I+U7UOP/u9i/zHH+hSr7isrDSJYheBSxD6tHsVllpzzZCxP/aaV3h33/HlD738FW/49gP46TMtpJI//ulPf+7dx0+cnKr7AmMMjkioOYJurOglilC5rAQuv/dJl90HV3jjy7rceGWHtdMhnU6FfuDjuh6+5xKEDn5k7b3QswCPIkkY22U3ilNPOyG1/kiZW6INBbhtkjJlbnCUTZh4rqHiaaqVmEYlZqIZsH66zVyrx3u/4PLVRyZZWq5z/oxgyxrBxjUem9YItm8Y4HgrfOJuh0PH6+xcK5loSMbqCVIGnJw3+I5ECjBGEEYOW9e0eZiEdk+x3DbMLVXZuanC99zY4tNf9zgy5+M6EUK4aFMniiUv3L7M1u9v89XHenz8q5M8eqTOxgnBdD2hXkmoeALfFXiuxHUEjsosVpHXZBjsRaYN1mlJLOAzkEcpKdhVEMLE+tthLAhiCGJBP4ZuLOlE0I80SS9g03Sbl1+1wpte3uX1L9K4osbKcoUodgljlzByCUKX3sBjELostk5PbWlufc8NN71RmWTpA0JNfvsAfH6hhe+5P/o3n7v73bfe/cyaIDQ4ypaaGmxA5yuoxCnQZZVW6PGJOyvc9VSHqy7q8P2v6vMd17SZHgvoDSr0Qw/fdYlilyBy8kApjhVRIoljSZQI4limteGi0NpakKsSk7ozgjSAtckiz9X4XkLVj2lUA6bHu/SjPl9/2vDJO8d46JlxJjyXyzYa1k9K1k55bJiRbFobct7GZZ460ucL984wphxmxgTNuqBZi2j1Er78jQoNz5YdaAP9wOGN1wfc8qCtiWl1NWeWHTatafDmG7o8tKfD7v0edT9GSWFBrmsMQqv1f+gVLXauP8Mn7mrzwK5xji1XWdcUjFUMNU9TcTSeC44SqNSFkqkrlZUf6VSqaV2scHEKdEsQECWCKEmzoomgH9ujk0AQauIwpF7t8ubXLPP9r2pz1YUJayccBoM67a5HGHlEkUMUOwSRQxBaktJaUXET4u4Ta+aOjr17euMrdThY+aBXGf/nDfDFpRW6nS6uww/fctvd/+OLN98+tbzSoupLpATPsQiTApzE4EqBrwSVWNBTLn1PcaLtc+rBGg8+3ePTl3V46yt7vPb6FSbHPMLQI4g8wsglip305CniRBEnacImKQCuTcrcurCjsvqWLBvqOBrPTfC9iKof0qj2Sejztcckf33HOM8cHkNEPtsmDOvHDdPjiplJj3XTkg0zEVvWtTk+3+HPv1QnDqps2iQYbzg069CsRQg3pN2vM94wCCEwBqJYMukrYh3TiTw6vYTltuLkfJVLzmvwU9+1wnv+xufofB1HRemF4RDHFQahZN2UzwvPb3P5eV2ePXqST95Z5bZHxznVqlL3FQ0P6q7BcwyuAkfadL6t6yluGjDaXnSJFiQG4kRY/zwRhIlNEvUTQT+BfmyI4wgdhUxV+rzulSu8/ZVtXnpZzHjVIYxrLLd8wsgjjh3CyCGMU+cmUpaYIluh6ShBr7vCnqfuWrOx6/+PDduuixfnT/1VtVanWvvHy3r+owK81+tTb9TfdPe9D//Jzbfc3oyDFs2aQmBPYl4oJQ0qTl2LBDxpqCaCXiLoSY9B4nAmqPLFh+rc/WyPF9/e5ee/t8PFWzqsGVc0aw5h5BHGLnFcgDzJAK5tsZYxpH2aGbhBCo1SBkdpHCfG92JcFdLuR8y3I/7wsxUOn5ngsd3jGO0xVRWsmTZMjwmmmoqpcZe1U5J1UzEbZ3pMjS/z1cc1j+4a5/JNgomGpFGTNGuaejVEuAG+7+Ao+/eNgSSR9AOH/iAi1oJOX9PpGpbaLrOLTa67sMu1l6zwidsrVJcUjowsII1DnHiEke3xnB6v8KIdXV50fpeHX36Ko/OSj942zpmVGicWfTwlqbsCL5Nh0p7/nMgzqYJl8tgIYg2RFgQJDGIItYEkhjhCqoANE30u32q/j6svTmhWHeK4TqvjE8QZ8bh2hY1V+v3IFOQyX221gSjx6fb7LLbunIq1+yfbdrxwOQr7X/jHxOQ/GsB37d7Lpo3r1F/85cfPf+bZfc1Op0Wj5tglMA1sbDYyBbgENzG4CbgK/BgqiaGuBP1E0nN8BonLYljltkfHuH9Xn7of8K9e32LTVMy2DX2uu7SDIxSNmoMQVq7YrKStlTamxNwYhDQoYb1cQwwy5tnDkkf2ONz8UINnjzUI4xoNRzFTNUzWDRM1Y33wpsPkmMPUuGDdZMyGmT7rZ5a5+5mA9928hvXjDjNNaNYVzbqgUYup+gH371MMQge3bkFljCCMJRVHceXOPg8+PW4Ln/oJK22XhRWfuYUJfuoNc5xYWOTBJ2ZwJSAiNKTM6BKEkm7fYaJRYbxZ59qdPV5+eY/vv2mePcc1tzxU4aE9VfYdqhMLhyBQ9CKFEhIhxEjgmeYEjCbWBqM1rkgY80IqRFx7VZft6wdsmo5452sDqp6kXnUJwxqtjmdBnR5x6rMXRyYfi/skXSWsdamIu212PXVvc2lh9vzrb3y7Onn8QLJx8/n/fAC+e9cuNq6b8R588OEfUSL5vW57iUbNzTVekkftFthKCVQMsTI4icFJIFbgJeAnKdATwSCBgesySFx6SYVOJ+F/fGICE0esnRlwyZYBU2Mxb31Fny1rQqJIpHpbQom5ybOiGiEFn7mrylMH6wjH4eipGifnalSqijFfMF43NCuaZgUaVcFYTdFsKCYaDlPjMD0es3ZqwMY1bRKzwmfubdLv1rlgk6FZUzRqkkZV06jEuG7IVx+sEPQk7hqQKZiiWFKvKl734j73PK7pBpJuP6Hdc1jpOMwu1rh4e4O3vrTNY8/WOLrUQEkNRKledokS6yYNQkl34NDqejSqNerVgIs3DbjmwgHHz7Q4cnoFx0148pDDp++sIZSy4BZy+Es0GrATCaIwYevamLe/os90M+HCrYa1U5DELkHYII5t11QcOUSJQ5xYMMfxaExk7/P4KEk9+CSzK7NYSdGfW6Y+nvzes08/2pteu/1D+/btCXfu/Ic3TfyjAHx29gStlYWdx44df+8Tjz8qaxWVRugW1EkaoSda4KjUm5YQa0GSsnicGCJtgxs/gVgbaomw/qwWBIkk0JJQu0Qa5rtN7nxKY0j4/EN2ZANGp0eWxUstsrQiUQiJVIo4cpDawXUkDR+2zxjqrqbma2o+1HxBvSppVK0cGmtIJpowNRYzMxGwYaZDwjJ/+HcV7nt6DTumYKKWsndN0qjG1Koh9VqfarWGr2ydjRA22NUaoshl0Bf0g4ROoOgONJ2+ti1zdY8Tc2O85JKAn3vbHL//aYdjKz5CaIyJ0Imx7kQkGQS2jLXRd6hXPGrVCjW/RsWPaFRDXnhBiOdGXH1BzDtf2cNRcZoE0nlZRAFyu8JoLRFC4rsK8BgEDotLTlq3k8U8Nu5JMkDnz1NgZ4COS8CORfqdW3DHSfmx4aGHH5WdvnzvmuXevWEYPPOPgc1/MMDvvetzjI3J6tEj+99y9PBBMd70rA8d28xhPATwtL9RCVTK3ImyVl6cGFxdVMHFWpQeG3uCNMTG/izUkthIEu0QaZ8ktb3KtzxLKcARwmp+BZWqoeIYKirBd8F3oOIZqr6g6klqVUmt4liA1wXjDc1kM2ZqPGDNZJcNaxZ5382aj9+2ls3jiumGpllXNGqKeg1q1YRGNeL0oubgaZ+KZ2UZZJV+gkHosH2dZt30gPbAoz8wKYtLVjoOjWqFRm2cd77yDIdOz/L+L2zEkQ4GTaITYm2sOxEq+qEtiupVJLWBQ9V3qfoJrY6NMTw3wXUSXDfBkTaBJmVSFLaJtG7FnrEU5IKWTqssdRrXpPFNoouAPr/XVnrEqWVbzphaUBeAjhPy57G2tTJxIugP4IGHnhDbt7ffsmXLtoMf/5tP93/w+/9h3fr/YIA3a8rrtuZ/sdue+0XJQDZqkiAEFVlQOnkm0aSANShtcBKRvkZ6FacfXBviknWV/9yYIs2ePrZersgDpbLmBtJMXuraSI0jSevIwVXCltq6NntZ8SUVT1L1FdWKolGVNGqGsXrCeCNmshkwPdFjy9pFHtoX8Im7NjBR8Vnb0DRrwoK7KqlXNPVKTKMW8NBeeHJPjfNnTKp7i7R5P1BcfaHhgi19Hn5mnF5aX93tOynIXWqVKtXKON/3siWe3HeGB3evA6PQOrHnKTbEkcnrSfqBQ21gqFYUFU/jey6+l+A7GsdJcB1bYqyUtpWbafUmafVmRgtFcG5LiHXmSOWSomTFpqXGSVIAuQCzfS1Os6aJzgBeAN1mU7MMqaHX78ojR0//F+XUvHq98dtA+LwBfNDvySjs//oDd/31f2gvn/I818t1r5QiTboYVCxIlAW6UmlyQZXkizbph0/vRwCucyvL5AFrlqwwxlDKvA+tuFmqOkvoKJlmLBW4edGWzf75nqLiK6q+oFYVNKqGZi1hrB4z3giYGuuzYWaZB/f2+fUPr+XYiXHOm9aM16BZVdSrinoF6pWEaiXCcwe0BgYlFa4ySFm8M7skS6LYo1mN6MWaXlpn3RskdHqSVlVR6/hU/Abb1kX85o+0+K8fkXxj91oMCm20XSGTmDDWhJFiECr6vqQaKCqexPcMvqfwHY3rWr/fUcYCXFmAq7x60ww36KapfZOSiNEZ0Ms5BpF+RxKdFJp6WHqUHxeEFSclzz3WRLEmimxJxeGjJz2/Uv/PP/8zr3d7vd6v1mq1v3c6/+8N8H6/jTbRb+/dde+/W5w/VnFdhUFjjMSWnlpQRbEgUSnQEys7dA7qLJNWgLxIq1OwtAajDYkRJWAXByMAz0pts3JblXUCKWuXZbXkriPxPYnnKiq+HclQ9Q31iqZRS2jWIsYaIZPNPhtmVnhwT4//+qFp9h6bZOukdVgaVUm9Ji17Vw21SkKtEhElIR+7vYFUClcalChsQm0yXeryQ69Z5tZHQzqhTy8FeLev6HQVLd+h4vn4bpMLN8f81o8t8msfEjzwzFq0kSTaptUtONKqv4otd/V9QcUV+J7NbHqOyTO2jtJIZQN+KYxtlMgAXqQ8gfRcY3MJ2XvXuggSdeqf60TkK2ySPy5Yu7xSZ5LUrkK2VCD7DHFi+wD2Hzxa+fKtd/377/qOV4mVlfYvjY83/88CvL24H2P0tYunH64qMcB1nBRwGrCJHRnbQqY4sQBLlBgGdWLQKmNq+5otiLKALluM1vYzw+A+y/vKAJ7VYKi8nlykdeRZ3YnEdaWt3/AEFd/OPKn5CfWqBXezHjLe7DMz3uKhPT1+/YOTPHt0mk0Tgql6SZpUHOoVW79SrcRU/RDXDTi5OIGrbIudteWKIDNJJHGsWD9hkyftqGI7YwJNf5DQGUiqPUXFc/HcCq4zxkWbYn7rR+f55b+EB3etSbWwJkoMUZykTK4JfE0llAw8lUsw1wXXsRLN1qkYHEkqU0Ck92WMZzg3mWzRWfltRjwWyFlcka+2ugzwMrCLmqAkq4HJpFZsG76j2L7WHQR89euPVLdu3XatkJK/7+3vBfDf/NMv8isfiWr/5qWf9Ty5gu8rTGjZ2zoX2nbiCJN734kqqtgSVTB1BvYcyGUZkj3OQW2eE9xQpKSzKkHb5ibStHVRT27lCVRc8D1NtWKo+lY/16oRzVrIeL3P9ESLR/cP+LUPTPD00Rk2jCtm6pqxqqBRkdQqilpVUK3Yi8Om+kMe3C3oDjwqivQisxo8a0JItCCKHeoVxXWXdnjo2Sa9qGgH6/UVHV/hewrP9VL9PM7FmzW/8xNn+IW/gAd2ryHSkkjrtFm66MEMPInvacveaW2Km17c9iCVKYWMk2mW92wgz5JCBpFnP4uaFjFUwFVISlLpUlqlR1bvJC8N0KvKBI6cWuEP//KL3qc/cHWtf+ave9U1P/BPD/D9B49w/nmbx3/jjz795wdO9l62thbhpDrTpE27IgN5lthRFMuWyj54esU7ltVNDu7iPgO0zoFdNAWTau/8yxC2oEjIFNxpkZHKAW7dG9exTOa52E4gLy2w8hOqqbxoVAPGGn0mGm2eOBDwax+Y4Mkja1g37jBT04xVoV4R1KuKWlVRy9k7oeLHNGoD7n7SY6VVYWKiSJNnYNHpMh4lijVTile+oMvdj2jbRRPqEsglFVdScR1cx8NxqkipuXiz4d0/cYZf+AvDA3vXEGmHKK0AtGWvlsn9SObVhZ4jcZy0CEsKlCNKibdMzokinS+y9WY4ITR6DAG9JCmz1TiPnVJgZwVeBaObopqxpMu1hiBMmGh2XnZi3/xfjm1610/Pn3n5ysyazf+0AF9enOPJ9tIvNPXJdyzMhdQ3+Bjs1e8oi+5yYJeoVHur8hVtnxcnIwV7prF1GdznYO4U6VlGLtfeMqugK3R3VjHoKGx9hmNwXdtYXPE0FS+hWompVSLqlYBGbcDkWIvH9gX84l9M88ShtawZd1lTSxirmRTcKXtXJFXfsn/Fj6n5IbEO6IQ+QkncjMFzDS7SLz1NgEQudW9gywXCChMZyAcJPc8yuO9JXMfBdfy8b/WybYb3/PQc/+nPNA/sWUukHYJEECY6ZXFBJdL4rsFzbe+qk8YdjrIlwkrK9PykXfnZfakwK78wy7HOCLhzEioRUyY1dWJLlAvjwORJvxzo6QUQp06aTgvimlVBf6nD7fcsvePF1z55MI6jX/4nZfClhZNMTK3fevPn/+ryMW+eqlchCHU6qwQcYRA6BXhiSKSNqlU6fSnRInVPOIeOK58wUWKKIitZWN2mYO1yUFnq43RkWjEobROAqyywPcfk1YMVN0l1c0S1EjDR7DFW7/Dg7phfet80jx9ay8yYw0w1YaxiaKTgrlasnZiBu+onVLyYZj1k9xHDXY/V8aTEVToN4opFP1u+o0QRa4cbXxhx/nldDh6rMlOj6HUMEnqDlIUdheO4eZeTEIZLt8Lv/OQCv/wXmnufnWEQVQkSSRgbaqn15rtYkDvZ6qXz3lapknyFU1KUAC5KIC8tk6tAboYBXgJ39tqo7Bx2yEpgL0mcRFup5Lu27PmBR0/SDR++/Cd/4se2Hj5y4uj2bZv+8QG+uDCH5ze3Hd7/0B94YuFNzUob3xfWV5U2FDHGLnNSSpRKo+fEoKUgSefo6dQpKVibku0nVi19o8AuZEnK3KPgFgapKNW8mLSf0x6eo3Fdje9qfC+m4sVU/JBaJWByrMdyp8c9z8Dv/PU6njowzXQK7vGqoVEV1Csi98qt86Ite3sW4FU/IEwSBv0KFWUvMinEUCVflkixgaZjtbwTEISGfiRKANd4XoLnOriuxFEKJd0c4Ai4Yrvgd356mf/xNzEP7JniVKvJoC4ZTwyN2FBJJw74rkm9/8xJMTl7Z1IlA3j+ftM3LfJzXpx/k34pxcpqcm0+DHaGZGe5PDfPZ5SAnWEh+6ODEE7OtmmML7zprrsfSG647gX//sSJU0c2bdrwjwvwQecgSVC9pr347Fvi3m6mxrxUt5n8kxtA6QzIkkSCVsOeaeal2g9s743OEjYmlyFnA/eoKsy+BDvuIWNvk8oTk1YNpj2djsZ1dDpmIsnB7XspuCe7zC/3effHanzhGzMsdCeYGZPMVFJwV6zurqWBZdWX1HyTMrjV3hU/BELueMJjOfKY8hmqx0YMr1BJYpsfmr7DK67q8eDekE7kMxZp28UearzA1qp7jgW4owxKughpEzQYuGiz5Pd/vs0tD/b57Q+u5cTCBP1xh3FP0Ig1tRj8yI5e9pQdaORmgaYUeRCc3ZcD9fKFKUTeKzIkVbJOoWLFNSVtnj7WaUHXaBCasXhJw2ffdwyE0iCQ3P/wPiYm177FrzY+1u32jvyjMngSd5CqfkFr7mv/1om+wdRElGfkCjAWKd7ElN54murNvdM0O5aD+izsnUXqpXiy4I2hIMiWv+bjJdJufJlKE0daYNsBQemYCTfBc2MqXoTvRTSqfRynx91PJvzll5vcfN8aQt1kTVMwXbGyxFqAmU+u0kOkzF1m7wjHCbh/1zi90GF9LXs/owyeSTNbRlpxFdde3CfWFuD9SDDI3JDQjlxzncziVCkQ09kx9lJnelzwjpu6NPxTfPDLfe7ZNcVsVKVXkTRjQ90xFuROGocok8YlmdOVkYQoyGKExcuSJd9kgBGAl8gp0+SrA9HVoC7nPTJJWv63gsjlM1/bxbadF/7bd373DY8vtXv7J5vffCTcNwW4SZ4lWPwkyp3YIMNdL29UjuPIMcIoSYtvSuncoZSuKb2WSRKRfwCtSwElYuiDUWZvSrSR3WVDOfMvIcvK2YpB69zotOY7BbeytRi+G+F5ERU3pFYb4Hk9/vo2h9/9qzUcnJ/E9Susawgm/YSmb6j7UE877Ku+zXZW0oSQrV9J0pXAypOFdkI39PCUwpMmDzCz928oyguStCApjF2q7oB1431Weg36kUjHMthYwXWT1OZTqd2pLMCHAldb+fiml3a5+pJ5fuejAz7+1RmW4jo936XuSpqOrcHxHfAUeTOEkyV90pVP5lKlSAClNn4mDHN050xeul8dgJZYPQP2iPOSd1+VXk+MJcsogX7sMDff5ot3P/vyxU5/w+xCe/+DTx7g2hc8d1ntNwV4GGnk5Ou2he1H3hf3HqBRC1Cqh+vYOuCs2CYvyDE6Z+xh8GPrtMsgH7kvZEmp1LV0EyUGF2n2Ldfd+ZgJO3aiYO4kBXmM51hJ4nsBvtvnyFzM+2+p87l7pzg0N0Gz5jJZgQk/oeGbNPWegVum4JZ5UqiSam/fsxdOsx7w2fsd9h+tUlE2PsnbxShQno9xMFaHR7HDRVvhO6/u8JdfmaJbc2hGdqCOH6Zxg9I4jkzH1lECuVtiI7sqbJmW/NIP9rh8+wn+4uZJDs2OsRRX6bkOdSWopUD3pLEXTuoy5atfdl4z+5BCrtiPYM7qk2eQPzvAC/AWWl0UUsVY4GckmBXchRp6iaAbQ6g1dz7wGK9/yXnve/Nbr3v9mcX2N5UqzwnwziDC8x0++7WHNt1279EdK6cDfuvHAmbGDd1+NW8dy8afZUcuSUrMboGshwGuRZ4ly6rZhu2obFZKCeSiALa9T4uGUnBb1yRj7wTXiW3njhPj+wGeE9BJQt77KY8P3rKOk4vjaFVlckwx6RnGPE0tZe5anr6XaZ1KKk1S7zwHt2ezl0EUsv+ETzf0mfBTFydLOmWuRGmFymtSIodm3WH7phDlD+iEDfqeoJoO2fFSeeWmEsXJXA+hzhG8KmbGevzUm3q85cZZPnhLm/d/ZoqFfp2+U6HiKGqOoKoMfmwsm0srVRxZlDdkWc5VTF76LrIvqxx8lmOnYYCLgqGzc1Bia12qFo01DLSgFwv6iUYHAZsnV/jlHzzFqy9dt2PCV5u2Xn7TEWMGCFH5+wH82Ik5ZiYaM56qfOpDn9vvRv2NKDnLb/5YmzVjhk6/gpSaOClAXrC3zE+4TmuMTf4BRYmxi86bTH+flbkp+ikzYIsh9k6r5FRiAe6kYyfciIoX4rkhrUHI/U9J/vq2Jp+5d4pB0sDzPKY8wbinqXuGmm+oeQW4K77E9yV+Kk1sYih1JlKAe67NfB4+bbjn0Rph5OLXzaoAM7sV9qg9L2GkcF2HV17d4RNf67L3RJ1+xc57CVyDF4MbadxQo5Sd02hlhCyG+1Cshom25as132HteJ//9H09Lt4S8PHbGjyye4z5fp2B8nBdh4ojqErw0wFLbmavSmP1uCjr8eGiLLGKxvPrN1+FMy09yuI6X8VS5jbWhIgNhFow0DBIBFGiMcGATZPL/OaPzvP2mwSD8FFXyTd8KgpWXqDj1vzfm8F3bByXDz+x/5ovfumusUk34UzU4K9ujdm5KeD/e8eAqi9SgGkSpUgSVQooZa7HdaoRyQLMMsCHAkoxnIPPGE8YJPZe5CllnZd7Wt1tcFSSDgxKcjniOBGtbsR9zwg+/JUmtz02xlKrgaxWaFQV466h6WlqrqHmGaoeKWtb5q76koqnqHiCikdaoadTcGt81+pv5QTsOwEnWxWbWEn17XDipACA7YNMq++0JAwd1jYFF2zu8/SxmF7k2jENEXgh6ajobLJulqgBOdKZkwMntSGjxNaHv/2VfV774mW+/niHj3y1ySO7myx2arSkR9dz8JTAkwJfYns4pcERWVyTTiEQadnv2QA+ivVykMiwkVAGeaazYyOINEQGglSa6CSBeICky7vesMQ7XxPS6kwwv1xFd+8em9zgX9OYuPArPMfwoOcE+JFjp30l9J8tzB2vT9egl0gW+xW+8mCdN9804OLNQZp10iTaIZGp/jYCnaQAL9UVm7Ts0phCmmRBpBk6O8MnMNPe5QJ9K0uyJJO2Y5Vlgpe5GTJivhNz96MOX76vwRfuGeNMu46oVHAbLk0HxlzbyVN1SWUHVD2RHjItOU11tyfwM/bOAO7EeF5MxQsxJuKOx3yOnq4yPSlwpU51rCgafUuf0eTWqZUU/cBl61rBK6/q8blvhHQjl34kqLgGL7YsHkSmtEqp3K9GyCGZYo8iLrJZU4eqH/D2m/q8+upFPn9vh1vuq3H3Uw3OtGr0hUffc3BchSMErhS4UuIKk0otg0SkkssMf6ayTBplc1PU6msKFk9SwMfGsnaUAtyyuQEdgw4hDLh0a4/vuHYAuPQGFdq9Kgunz9Rr0/wZrdMXA/2/F8D37t1Lp9tF6h6+k7IwgsOnXObagsvdEDcSlk21RiUqZW2JVjKvIzZGlkCO7ZckA3r2vEzcZujEiTKwhU6bhzUiBbjjJHhORKUSMQgS9p6EI6cUn7x9jK880uTMch3cCk7TpaYkDdfQcDRV11B1oeJacFdcO5PQlpnK0iHSn5sU5DoHuefa9rSDpzRPH/bBddNl3pRS9MNpwbLTUDQI2HHOl20PuGRTlz0na/Qrglos8CNDoEitPZ2yd+amZBZkoVVynz2Vilpn3e0ug9ClWg141+sC3njdCrc+2uVvv1bjyKkKe07WCFd8Yt9h4DhIJW06n/TvkZYeZ/KQLIA2zylXiqaUVJKkK008BPZ06pjRYGLQkT3ikLVjIdvXxxhcpIQo9jh9JsI9cBDPf26r8JwAn5s7JcJg8G+/+IVPTe/Y7LPQ7zKYDSEMkYlGOIBKUCpECI3SCYm0ADdapWCWlqmQw7LEZK1RKYrTL7zMCEUiJ+02yVhbaDv6QSb4vp2kGicJs4tw+50OB09UueuhKieXqxw8VQffR9UcKo6i7hjqjrYugmsH51dcmxK2IM4OmR4qBTip5k7B7Sb4rmVve2GFHJ6H3UdquHLYHswlCkU9eB545Q0EaU9j7HLJ1j4XrOnxzKGYXuzSiASBA146E1CVAC6lQEg5xOQwYsHlTQhZ36QiSlwC16NZDfmh1wS89PI2J5fb3PGwx6HjPrc+VuPUYoWk76KlQ+QpkCoNlq21kjsr5fvVGM9BPqTFKTKd6XKWHok9dJw+jkDH6NiQuBpVGVCtrLDcqXHoVJ3TK3un3/GOt//bkydPvmfjxo3mbDg+J8D3774fnSTvqDvz9asvibnhqhbvGpzh7kcER2cl8UBgFHjVGB1qjJYkxs4msWMbZM7cQwcyd0zOWfOaR+wZc5ekiEpw/YQoMRw6Lnj6kOL2h2o8c9hj1+Eq7cAnCH1wPVTTxVeCmoKao6mWfGDfyeo0srJZWxfup7LE8xSeJ9MLwBTa201sZtG1Or/iRRgdMrckCYxvp99Kg1Oy2UbrOjKQJ6bod0xSP1zgMDMZItWAbuTSc4R1OqKiYMyWR5Qzj2WjXZbKWmXB5KX+STdR+fiJXuCxbiJky9qIF54X0A/7/KvDLZ454nH7gxWePlzh0DGfKHYwviKRCoQkyT+cLEFbcO5bpkOz2eVlcCf2dZ0CXadAjzRCa5yK4dmDLl++z+HrD9dZXPGomZDxxun61+78xjscpd7zv8Xgc0e+QL/XVUcP7xcbZzqMNQZsXBMwPR7yHS/v8+h+l09+qcYnb6/wndcPeMVVEWiN62mqtez9S9CSJCokStHUSv64/PmFsB9aSFs3QipHotDQG1hGP3JC8je3+fQixRO7Khw47rPQ9QgSDxwPlItqKjwpqCqoKUNFYceZqbTwSFnW9lxhkx5lcLsSL5Ulvge+R+qa2JS562g8N04zohHVSsiZ5YTbH2jQ6vhMjAmc1IvPir7OFoxlq3EeEGpJECimpxSvvW7ArY/0Odaq03ellSkOuLHBjTLPOvXYZWLtQsqzTmT+N7RxSn/DAt1LFImjiF1FlNhBPY4T47sRdS/ipZfFXHtxwJtfPmDfccmTu136oeLjt9c4POuCkPT6Dkmo8rYp41Bkg84K9BKo8xy/RsQGoTUmBXu1luBWEgSGV1wV8p03DNAS/uf7mzy+v8piMk6zXuO8Cc1kL+L+R/aLyy6/TP3Fx26Nf+qdr/3WGbxaq713Zmz2Cl1bplqJcJ0ApMGEgi/dUeGjX66RRJLP31lnZtLuknDVzoi3v2qQFrLDzJjmyssi6hWTjk8TWbb9bLSdD+dp9QRPPuWy2JZUK/DQbpcv3VthECkGkeL0rIcWDpFx0cIFx0H4Do6UeEpQkYZKCmxfGXxlbA24k3q+TsHcXtaXmYNbpT2aImdvz9V4XlagleTs7XkRSoXc+bjic99ooDzH2m1D+vvcDJ53wiSZ46EYDFzeeH2fL9zf5uN3jNGNK9RTHe5mOjzKkjIm7xYSQuYAs39KDrkX5YbhOJHEjmVy11HEjoMTJxboKkEpO0h/ohJz/YUx110YYUTAW2/qMYjsOLcv3uvz8G6Pqi9YaCuefMaj3ZOpSnoOkOc7T9jWwCuvDJkeT+yQ1MTw9lf1uXJnhNEwM5EwPa2JIkm3I3j8UBUTa3qJ5mRX0Q4SIqd/xTXXN99r4Ke+JQY3Zh6YbvZmP3whE/MK3cZ1EiqVPgu9iP/50QZ//ukmg8gFJZhbgbkV+9/uO2r40p1NW2WWGMYmNNdcEdKo2nrfc2uS9KSkrsNKV/HI0x7tlkQ6ikBLAuNYZhKO7aCQDkgHKSWuFBbM0uBLjSctEDwFnipm9FmQF2OS7R4/Mm88LoPbMnxaVutmDJ6UjhjfiTAm5OSCRxhU8MckXpr2VmlV3lAWs1SUVg66i+50RRi5TDQUm6dDPDGgH/v0Y0HVsUMwsxqSLKGlZLm8VeZ/y/6NLBehi+yp1mnzSSGN4jhJ8wbKJshUTBQnqMjmEhyVIGXMpmmdrhiai7cMCE0P6RhaLcEjTzus9CQqVyzDQfXwN21LausVw7VXRIxNaExsf1JT9tzlpB9JqtLwM2/tkCD4nx9VdpvxpMIiih6JOnymf+F//fk3NV92Q6992Y7hoHMVwE/PL4JovydafPImghMIBf1Y89jTgo9+tclHb20SatcWMyBLX5whBlrZMiShvWI4fVe9tDSVKIzyksbQ8maEQGdbLpDWnAqr/US2KZWwKWYL6jTtLEk3bs1849K9k3bSK9Kt98jBbdu67HB93xN4DnmJqWXwlMUdjZdmR103wvcjji9oPnprHRwPV4oiwMzlyVlqq0vecDYk1ILN5hLCyOWdr+3z+bv77Jpr0E1carHdlNZWAZqiE0dlOYEi2MvPZa4EZKnAKzt0XgvjOAo3sfNS3BToShZJM1s3nj4WOh0clOAIjTCa6ZrmO16i7fAlkX232f4ZpnhtaKyHSJMBEh2r3FlLYkE8OnJP2Pf189/TYaKh+ehX+xw6XEMLlyRY5OD+Z246dfLK9ygT/8w3ZfBf++M7EEJ5s8daDDpNhLR6ee8xj8MnK1BJ0ZIFF2cdAVZ8k8lolXz5A5a/jLJ+y5dbiZAyb0FTAlxhh3V6wkoBR2K9WkVaU5E+zgqJHEpzUDLWLrrqC4DLXLb4nslb2jxPlwbnxLgpe3tOhJQhR2cF8+0KwnHwJUPyRIqRa5hhV6HoYCoHgoowdplqBmxd12fPbEA/cRgk4CfCznOMUx0ekztLec5AqNLVJPLTbnMSJi9ZLqSRxkk0iZIoJ9u+XOW7a0il05XCHpk1a/+mSSdkaWSYTcoqDIKizGJ1fnoo/5FlsvOzNFx5LkU2ciThR98Y8KoXhew/tpI2QBua9ZBK3/U8szrfswrg9zx8DCHg2NEqnd6G9OoT4Aioi5RJRcreIyxcLgNcdSuVBJZvQgw1L2TPlciyZxbUjjD2Xpq8xiN7nL82AvJsRISj7OZSjlPMQ7Hglvbey4CeBZ8puLPuH0fnEsV1rD71vIiYiFvurzI3X8UdU3jlGo6ygzL6yYcKkcRIEKgYBHaC7Rtu6HL/UwPacYWe41CNNWGaTleyKIjKCs6E0BSdQ1mgOZI91OlMFUM65UDgaEGsBE4i013sbC1PnAK9SKbpPMEmM5CnZbvZKLjc/UqZ+1wAL6NiFBe5ZVxK9AlhELFGhIaNk5qta6wbY4wgjnsM9J70onoOgP/3v/wy483qS977ibuvjhyBO1Yrka9IV73nsoKe+zaa4s2++LzeIX2ssDZbliZWoniu0rLY8pRap9Se5shhYOdzUBRDu7QNATwLODPd7WSyxKR6e7iW3HMjPDdktqV57EAVHA8nlSdOqUApy/aJEYTbJJcpmFyT++GZJx5FLledHzA13qe1XKMXK2oK3Nh+FpUYe0RlgNuscv6nshHS5WlV2hQlFMruKu1qQaIkidJ2hk0K8nLxWlYOkQFbqWLlKJi8SMgVlZ/lJNC3hp6zUqHI6pFsl09Z5ilpqDTcqytTb3zJYOF191Wmv+/sAJc6IRoE3zHpyysbMsZz3bxeoGzS/0MBLkusZgFuhgBeHrmWHUoWdRGZx5y95uQtagWwlbSyROXdKwWws+Zby96p5nbI9XZmCVrGLsDt5tWJEYKIm+/1uf+ZBtJ38KSw87fzCsJyvXq5jrr4EvPRaDmL20Az0Yr+wOW6S/t850s7vP/mBmHi000klcQQxKWLWpRkipQpi5f/1LmYHLQj87r9DNyJkiilLaNLmY6WKMBt5YlBqqKSsyh+Kx4PSxWG2PVsTPst3UoZ7+HRcjGhqV1pqtF3GC3uK/8nOcCPHT/J+FjjtZ/8u9t/UPbm2dQUJGg7bssUVV/lzvZyaeRzArtUqyBGXssqAovHpRSwyAbmF6MNMha3W5CQs7mTddAr+3iIxdNuGFcNg9uOUxhh7rRn00vb21wnaziIS0dESMTf3tEkMT4qz16WA8yirzFzNoY0eMbieWeTtKM0kizYdBC4vP0VPT52S8CKjugnFfqJwI3JWVxKYwcs5Swq0wBviLqGGrjL1XyJk3bAqxTkjkFpK1cSpe0qoWSaPZZ5abJMMouyAHcOclkw97AWh5zF/3eEQErp5Ux4tgplE2zPLIVMJPzg1p1vuGtx4dStU9MbhgE+CEKc3uD8bre7Iw7ajNe8dM6Gne6aFaJrMwxsnb2BbwXcYvXrBcMNV96pEgNmlWyZM1EGfTZzMJs7nmnxbDTC0LCbFNiOEoWTktuBtuPeNiablLmLANMpsbfvhjx2QLL/VAWjXJSUeFKnMqq88hRL1apajSENzlD9fOaoRLHLjg0Rl5zX5Rv7qkTKox8LKunmAU4sUMKk50Yg41SHIxFohv+kKLG4KEmjrF0sc1dsvUs27iPfjDcHt85nGkopi8I3ASIHPDmoh4E+wuRQxHjnRHUhkQ0MlV/blj9bbtzuhlQmezvQwfno6NZVDD4/v0y/N6Db6+MqiVB26XPSKUOxLjqksyKpb4XBVwO8YOv8fgTsUpSkS3nykizrcmG75zOwp50uOZPLYkxbsf13ytyl4T+2254c2Hm2MmfuBM+xiR3bFRRhiPj0HTUWF6sI37G+e2llWVWDUv5Gy+WjephVh7xprYgih+lJydte2eGxA02CpEJPeVQTq8WzclYlScGdrRU69cSzwlzL4ozo8aLxu9zZbt+H0mk8Ie004CKxJFMdXjSaFLX5cqRmf5jBhwLOUgD53OSdOiymJOlKpQdRLAkiRZwkJNGAbmeROCqKC3OA3/LlW3CUZPbMMuNNhzCyy16YvklVGvNQHsrzrYA7u0YzFivvE5NVpeXlsAzvCjbsFBTd3+WZgznAcxbPBm1KlDMMcM9JBwC52daBaYbTMbh5Kl6nj5Ohw1G2c2fXUfjUbQ0C6aGkSrOXwxfiaAZztU1G/sUN6/CUnRJFnDj4icPbXjPgw1/p8dShKpFy6UmJl+jUPRLIxAw1XgspcmDZm07/1vC+RWUmTzQ4uYVod95I0pIAlZh8WGfeCCFLzC2ysgEzxOC20eNcTP4tADwnhKzl0a5CSV7rLtPR0YrewGHXniPsObg8ZFU7AKdPn2bdunW1v3jf+7cvLi6m+8ab9B80+RuRYrT7neeUJ4ywtyi9ll/pjARjYgTcotTpXQJRJk1kibGzIDOb2uQ42SavqfZWI+DO0vdu1pis0+3CM3BnPZ1xekQoN2T/SYdO6IFyUnliRspjV69QQy5KSQ+bUS887cYpEj8OdVdw4cYBT+0PSbRPX3tUEluz7aQaXAm7bblNLGW8ZwehlkFua4GK7iqjwckHm9rXlIZEWsCrdHcKqYsJAdl0rQLUohjZkQaYeZvbc4G71B2UC5Uht6nAV3lqg53Om+2Lane+7g0Eg0izbsPk9rd//4/U3vBdP9xbs3adBfjiwhy9Xus1G9ZN/8LuXbuoeJIoLgqGVKa3s5FqlNl7tJa7eFfDS9FqX7jMckPgZng+RzE7L5Umsszk6Zi2rEZalUCdP06TPIrUC7fgtgAuhgK5ZXlSZm+V9nV6IUsdzf/6uwaL/QrCd608kWZoVSkG53yT+rpMrui0q6nspqSp+zh2aNYcfvZ7Onz9sSaLgUcoHfpS4qU9lMXIh2wVFIVNJ3SejMvGWxujMXkJc9EA7KRzSrJZjhnYlRQpg1tJlJTYO2PyvH1QkHvjxfdaJjNTOi9miAQZOV+jzRPlcSP5dpHpLhJhJFlpB2y7YOIX9u3bd99gMPh8zuCzJ/fgeh6D7knG6jAIbXc8FCxKllwccVLORuG5JBli7BKTl9mNUYCL0nJbgD4Dcgb8HNhSIFUxfkyVQO1IiZNKEicHeKa5dR5Uuo7Owe06Wf3FMHu7KsLzQj55h8uzB6sgXaSU+Flp7FmszezDnbOasMTmeVNASabE2racxbHLZTt6vOmlbT78lQra8elLD1+KPOmjpCAaCvCGmVyUmTyLoYa6rUArUMauCtoIC+7MgtWQ5PNTxBCDl4Fddr9yuVJyycpzyIdiMkYy+WcBlSnJlUyyZJiKteDM4oBndh2m2zeEod0YwgHYtsGmZKcqPeLeIodnG3T79o0ZCp2cFewPLSmjqM4uxpGrsQBx5gibVUwnSh0w9qQJxBBrg5AiH2h/doDLAuCqVEPtpHUpLrkUcVXhlril4UCF5rbs7Tp2atVyS/PFOxsstHyopO6JyOzBc0sUSn2MZU44q22XWYbZnjiJIoodJpqK77qpxxfuH7DY9QmVQz+RqT0pUvdGFAGfHF5NyTcnsC/pnM0L48DJnBWVPpbp83T8tWXvEshLYBf538+AXmzbIkYAztDj9HeMxRvZ+KwR7BSThQtZBza516wl9MOIvad6tASMr3HoDSxBO3c9tIteZXrbPQ/c83PfeHgvvX7MidMax0h8t2DQ/OoyQ3dDbyJbZ8TQ89WMTQri7N+2v1MaNiNBUgyDLDN3NhK5PPu73OFih7szDO5sZ4OMuVWJuVcxeDZuohg54SibuTx8RLDvaAWNj5BO3pxbVA8OT4Qa6nQRBdzK7lORaSyn7AtHRWsbbGIcLtoasmP9gMU9VUziWRZPrExxSi5OAapyoVcquLMyWkibDUQp+AQtRW4dlmMblQJdSqvPszioHPxno/yEFrkUyYFOJk/KI5pLbI59v0MkOcQJong1Xf2y1aPias5v9PmeVy0xMf4wL79h7c+t33bjE//hRx8/4tgKuHDdIHBf+5nbNc36BDM1GK/ZSUR5Vq5cLzKE7JE3U7bGVgWW6XM5PExmONgsRocNAVykoxJkGeTpvSIdBVz2wctHuqW1KoO7BPJ0v3o3LQ3N2Fulzx0nQqmIW77RYP9CFbxCnrgl63IonmD1uIhVq27OnuWAM/N4h7V4GDqcNx3yhut6PLyrBtolTqwWd5N0yGcyLJVyQOXLa2YbypQRRRFsZo9l+limq4rMDjvyWqYaPQd6tprqdOKBLlbqMotLDMgy0CnYm9UB6CqQl+RMmTiVMAipaVbhVVd5CFq40nttv2PWJbFzxHFTsNU9yeYJh4ov8J2ia/psIMz/njj7Gzlbcidj6GJ5Kv79DAjFNKViymn+fATY+YlVotSEWwJ3WptSbNvBamA7xYCgfMSbo1OQx1aeqIhqLeQbexWfv7NOf+BBzcGRAlcMS5PRAHM0/lgFcEb094hlWPbFo9hhrOHw5hsHfOX+Hg/t9TB1l37i4wnyC02VZUFJBjAC8jJUbPCZXmDKsnkirR7XknzkdRZw6lx7p0DPEk0jEk0KUXofAqFTGziPS8r+uBhi8zJZnpU4048isZsp9AMXvdIkiX2cSVubH0UKpzeIcL2IMEzwHGj4Oh8YnwUYZXeD5wB68XOxmrVHg8t02SqYr5AsxSSoUt9hSaJkh1IinQNegLsAeVY2a3CcYoSyk27C5KhhoLs5W9tDKRtgel5IFCZ85YEau47VwHURUqWgSutjSsGlkCMXcOlCFwWiCtbOGnDLk8DyVLTMPfEkcQhDh4u3xLzuhi5PHqkSxB6JdOlrhZcw8l5EwYqsBrkZeS+o7GLTaCVQmR0s7b2URdYzj30kSGNZWunCMhy1eoU8i2uWnpQht+WsWFqNnyxnYkypeym0kwmkiBHECAIkIc7HPnEzjqNYXmkz2VC4TqGphubTDQVNqyXLap+7/HoB+Iyty+PMRgGeW4Sy2Ioke15Ik5JVmDN2BvBicmouUVLmtoxtcqZ28vvisZsGl46K8L2QZ44Kbr2/Rq/vQd1FiqxykJI9eJYsZulCLq9zWS2KRZdgeJD8SMKnVIAVRi6NRsjrrg/4wt0Dnjzkg+Mx0BIv1eJKg0rKTgaIBKt3hbAFRTnYC2AbY0ktly7Ssnm2qmSaW0uQJmX0bMWSqXWoyyxuilhEU2L1sxPe6pX97Myd4ceI4ne0ViSJIRIGIaocOfg4p0/uR+sEx2MZZSR1N2SiYbVfdqEPXYWlL+tsy2+Z0XOnpPQmZAnEmWQZTuwUcqTQ4mWJIvL0vBRFNlOptMIwHR7p5AVXlq1VPh98BNzp4WZTaNMCf0fF9nAiXDciNgk331flnmeqUHFA2oZmN0uTl0HNyFF+cjaJUqoLz227rLFcZ5sGyCGgBwOXl1/W4w0v6fHs0Qpx7GKEoi8c3IT8PYmkJBGGLq3VTF6e8a1UxtyWze1zgdQCLQugS1mwuTRYcGfALgG/iK3M0HdeJIDEapIcAXv5YtDpY52ec23Sc5/YdSqKFLNLEdp0QWicZt3FUQJBwkpbIJPCIZGQpn1XX13FEjMM+PIbHZ0tPXqRjG6ZIcv3WWCZAV0VmrxI05cOZUqyyqTsnR5OsQlqBmi3BOrMObGOib1XKsJzI544IvnUHQ3AA+kihMLNkzsmL65aRQSl9bZo6Sh5qRmoGCm6KpfQJiIfoJS1s8WJgzEOb39Fn9sfGPDIQTtJINKKXiKKOnpBmsIXjHgQhTYhzVQrhoCe/VSmoNcy3c+nZGfmSS1jA8tipRdFoDnk6pRWbMzweRrCVck6HAL4sCskU5ALbYNZ0k8ZRtAdKGJt+1OdE2dChJBEUUyS2AqxYZAOBw2MvFaw9/B+OZRAXtbdxcoghv7d4iSIoaCy0N2FWzEE8pSti82m0uq3fAB+Ae4h1i7dZ421mVRRKsZ1Y6Ik5q6Hqjx9oAquC9IGl54wpcmxJQaXI7JrCFDD0DKlB3npbKlGZKi6MLGTwmz2ziEIXS7dMeDl11gW7yeWxQPhMdDgJIWDIZMMGFngVk5YmKG8Rtm6VBKksu9JGWz20wiEsXkIY8QwuDM2L1/sunw+Sl1OrGbyIbyskrvZhToM7mzF0KVVwHEM66cjXMdOynLCyNYOJJGtFrR7tYwGe2X2zVLAYugN5dmzEWYX6YOy9lrlE6cgzlaLgrmH60+GgC2KDaYy1rYA16Ugswgos3nhTg7qYgKtckoATyWK50TsPy34yFcaBJELNTeVJ+StaSr/0szwhT307ZxDophhoJdlSr45gBkuDS20uEPdl/zw63rcfE+dvSftxZdoRS9RtsowEfk8QYRBJGlAlwyvJBn3lRlcpQV1ytjhTsZYe9Ck35GRApnKFikFIpUJUpcAXgq2cyxphslxRKaU1UH5XA4RbS5TShdxaSirlNmQJlvnrv7XH/3+2orn/PdDR45eJERarFSu8chcC5UBTg7tzJVNVlKlgHDIo860c/6aLD0uMo/5v6vkkOWn1Kg7Ug4iS4GkU8iRIrgcBrerDI6bZS2Tkcxl0czgOiGJDPnwl2p87NZx8H1QFZRyqClDVZl0HAV5g7Nbao0rMqnlRJSkmAzLUIBaxBKF7ZhdtEKSNv4WvZBKGoTRbF4XcnJB8ujTHrGQIBRa2BFrzlllZSEZ81WlcOTyRmBhSqImBfu5LoZhDW+LAsolCOVjdIQy+daRNmrMC/ko5QeyKsJsljwjW91kpqIp1IExho1bX7Ru286Xfc3Zte/Y+PxS+/VBGNKounnZ6TB7D1t4wzKl9LwsV872cyFG5MmwTMmzmEMZsnIduBnS3jIHQyFJVEl7q3ynB5MD3VWrJUlxb50T14nYd0ryia/XsPNXLHtb7V2AU4qSbBJFOcNooCnKT3JZMgKOUjloea6g/XKz3TMkOlEkKtXiicP3vbLH5+6qsfuECzLECMkgcckGTeXyL0mRnGSJnwysBdxVvr2ZSfV3yt6l+/wQ2WPrhxud+uM6DVBXmQirH+sSU5cz2qvdlXSF1MOfyU42LkoU7HwvSRSFxFHr9d3W0XFHmgAlYvy0rUvlmrcA3LCOLjHBiG4qgF4OLkfBfDbt/Rw14DngC51tN5vKNHixVWDefbIK3IUsUeljpTSq5HcrZQ9HxSQq5kv31dm9v9DeQkhcQeqemLMswcX5GH6eBZpD6qT0eLgBecgTL02kcoZmrtsUfhg5XHx+wBtf0uXgJ3zCRIFwSIRDXwicJBt7nAW6maMiSu/CFCGwIfXlhQW7EWBM/h4zcCsDRpgixS9AS4M0wmpjTZ4PsHpZlB6XLvySy5JQspBH4rxhPJX2Z9Lk8ZqSxfmLEXS6GlSM43nZ7GuBq8rBXQnglKLdUX3NaFCwGshDF0QGbEZ02jkBXrB29jxn7ZTFnRKwy0Avg9tN52o72Q4QSuNIjSOzoTYW7K4bcei04k8/22QgLbgRTqlrPl1BRFEuOqwrsyud57wNb5OYuhmmWLJHd8fI56YoidKKRDvEiYufxPzMW7r83V01Dp5yQEWgHSLh0hcClZR86SzYzL6skujIvPnMLsxWGI1AYYYAZHIG11aLW5mflwloIRApsxfB4DCrlxk5Z/RVweVw3DbE8DlWDFKTW5jagE4UQaTwI4Xju9n4hCwzmO0cMMy0lEFbAvM5o98R96R81Q4HrudmblFi6iyRkoHbZjDT/sBsNwVZBncpqMzmiA/53aVDWnniOiHtUPP+LzQ5ecYHZeWJkLKwBrP3KUp23Cjj5DJl9VjhswI9B3zWeFDuPcw0a8HeeTOEVCSxw8aZgJ94U4ff+YhHK7IBgTGSQCtrGybZd2MgydX2EMjzN1N+t1kFX/relCzY3EiBxljrMJUrRlh5IkrPc+CuWu1GpMgIc4+CXJcVQunf0hkRa4sDY+x0rDCyu2M4vcAwCKyDkjUI5MVNpTeSOyPpXxmVJKNvquykjAK6/MFGs6WrgF3qy8yALbPtNZQZAridnW3yxxmgMzmSS5R8q5M4v3dUhONHfOZmn/d9ukmgXStPhEIKiSdY3VR8lrR8cT5KL54D4qZQCSWrsKzPi50xytnNPIWv7VbgFSfmp97aZd9Rjw9+yWpxUCRCMtC2d1Mm5AxeFGBlX1bB2JlEyZhamUKyWGvQXuTaFCCW0v5MCytTcl2cp+4Lq3JUm5cJkrMBfoTJV7kq6aFk2taWruAVX1OrJDjdgaYfahDpYBxFniJfFVDmJ2Tkj2ZvkHO/gdHXy3ZS2SstFy6JnLWLjvqsXSrT2UoOS5KhXdZKmrvM3Cq1A4t7O2twaRn+7us1loMM3BbgrkzHw2UriDSrV53M4izhOYd1mRRXyZPCKhyq6st2o9My3VRXD9eJSytVtHaIE4cxL+Etr+rxuftqLHYUyAi0IsLq8UymZIAe1uEjTJ4GnxnoFWWQk9qEdmKwkSbPJspUxghBXo14thgl+651iTzliBfOKnyxCl9lbCYiq5exG4XVfE2jpnHWTjg42mWx6VKtqJIcKYKRnISyP0qJwc/yx8651IzIkfy+DJgR1s40d1b7q2S2F/0wuIspTIX3nbO4LNjbMnZJj2fOSS3m5jsrPPR0FZ1pb5n2XIpMngzXm0hhVn3mcqxRZqGzk3jKnmXby5iREtoC+HnQaSTKFL54nLg4Oubay0K+88U9PnqLByoEITEIAuFYq5ZMi5/t7ZRAnjK31Ryp5pYm9cjTlUYIG1gC0ligZ/+JkHbz30J7l1P1q31vhEkdlZKUEmII4Nn/jYY4o8CXEvoDyeyiQ2BcnJlJiUKxOGGnt5b3Ch/6p87CSquWj9IffS4mL8YMFKDOA4YU4GLEGsxZWxSypAC5LrknGbjLoM6AndjAMpMmMkZJO/j94DHJR25uMNvx7H7X0g56V4Jix4azXKBDy2j5izsLe4/ehhI9lIO44RkmmR43Q133dv8ce2+3P1lbT3jXd3a572mfg3MSRATC7nw3EBKJSKWKBbrQoxp8VCaZVKYUQzyNTBNA0li/vDBbUjelqDA0KVOLPNhMM5L5Hj8j5kVe/Zj+Tg7gTB0U73X0/BYJM0N/kDC9lBCLBGfDdERFRsyPa/qh3TZZ62L5POdNnPsqyrOVQwA3IyBfDXaZJTbKYC8xeA5uWdLfI4Fltl9mWW/njkkmSWSCI6008byIINH8+Seb3PNY1fa2Scdqbylt144o5q+M9h+eLTVfZvLy91DG+uoMZlFlWIzlKJfPlstobbtZZhcmiSaWDip2ePkLQ37y7W1+/c89gtgmf0ASC5c+olQvnr2LYZCbESa341Ssx0wGZJlahlLkz41JAz5jiuBSDhOByRhcFoHjqhW/BORye+NzMkbWCK8NSWJYakXMLcbEIsZpdyW9vl3KXCe92koZp7O1qI0uuaPxVFlnnU2Hl6vOhkAuh1m8SPLoEtiHgS1LsmQI3EM6vOjOkaXnSsa4Xswdj7h87p4aQehC1cm1d87eJd39XCWxZZswB3tpWR2l73JhUz5OeAjcpKnyEnubYp641FaqZECPY4dqLeYtL+9z2z19bn9EWdsQW38R49AbWmEyb1yc5RsuspcqA5G0O61l1YYGK1UM5GxtTMrcKcNbl8MMuSnSjAL63EpgNd7KFyO502PPmd1ZBKDmSxpVB6fdc+gMFHFixwsLYUoAF0OR/tlYvAC4GX5TJaBnDbBDJn12AYwwdgb4su4utuo+C8jTNHYZ3DLb9bg011qpBCktqJ0U3J4bsdI13Hxfjb2nK1aaCFsSK6RMxzZTmiC1mrWHgW5GAP0c+qQgnyKhUpYoWaCXgXvVcKCiRkUKhUwSpHSIAoed6yK+86VdHtrt0QrT9Ku2JBYJxYBC60qy+iIxMslJpPUo6fsUWbBpHYuih9P+jkmDbCOMBbLJqj9Nytz27xVAL4A/GkgOYUqc4xymS2BeImAsg2d17bWKoFEBp1oxRIFtBlDKpJ3UIrWBzFC0fxZs509Ws3f2WjY6YNgvHpqlMcLkSpZZvAB07oXntRmm5IUX4C4zd7YzW5bQycDtOjGahL+6pcr7PtvAiEyalNnbjmQ7mz+/msVTRhwJhs6K8ZIsKRh82AvP68Lz2o3hKbTWF0+dFWkDTqU1UeIilean3tzjwCmX933OIYpTkKcDKwMhUdqycd7tk2VqdPGmjBQ5iJQsgG7SiQgKy8ZIy55KkoNZiizbKYrVmlKcIkzeyD404mKIwUdXllFyGM4A21F0EMeGINIMQo0jsAznuxYoiS6NC8g3bn2uP3MWO2coQBi2Ac9WPjm873ypyEjoVUxeliUFQ5uCsVfJEuuiSFm4JkraNr0Ds5LP3VWn23WhaveCtPtBltLyZ2lLG2pwGA00c0yXEl/flMFLoIeSFs9qPNJio/TxENCzIw04pbQzDRv1mDff2OMr91Y5cDpNv1rPg0QI+uV3mpXQZinK9NtW6edQZblS0uH2uchtwsxtseAuGN0uDln2uixbC41dMHnZKTHnPIH58Nds5dPkO1iEsSGKNXFicKYn7CZOSxVNom1knSRpmnWEwbMYt4z21eO4ivuyLMlZfEimmJzNi5pqCyqRWYLZz3Mm1yWJUgxoz8CtysydbvEt05LYLCXvODFBpLntwTpff7xqh4OX2FsKbGInc3JKBT3Z+8w/YyloEznSz72ynvXLGgX6yEGJwU26FcnQFKxUjydCoRKNFoo4cHjVlSGvurbP8S+7BDqtg7aVUMQ4BMI6JDIfESyG7sueRSZXTFb3oQugq9QxyeVCKRg3JcYW2BUq71vNgE0Rx5RHSZTJMz9R2d2Q82RxmmirwfuBIYgdQu3ibN68duXE8d5XfN/97kGgUbaC2Jr0qT4sL6dZxDr6xwsWN0NyhBKYLZuXLMIc2KV63tGJSUP+dwHsItmjh9g7A3eRrUxT8TJBKtupI72Yux/x+N0PjZFox26olWlvIfNxbJk1mLknq12f4eA6uxsC93MBfYQ8yhnMrAGiAHYxO9Bk7C1HEkCpVBHaDgvyvIRf/JE2e0843P2wRHsiZXH7pURa0Se15TLGpKT/h5g7BX2W4ZQUoM7ATBpgli3DfFSbyGVLlm8aTiSWuo7yE1o0OpSpe0jelQJMbSBODK7nUak1v7Juw5YVdcPVm7uLi4sHMeIntY7Tj1tuIRsODGXeECGGrLICCCVAqOGKQDUSKJZn3uU/L1cFlqoF8yROWZKoYWliC6bS2pMhmzDt0kl7LU8sCX73I2Pc93g97bP0QNmWNEcKqpJ8Q6lso6t8RwU5Wstd7ugv17mXpm1JmU/fKmp9Cl0/OtdQ5YH16Dkvzf47a/xi8qlSmdKYnorxHcNDT3ms9DPqzFI9Mq/fHq6bKTyWlFRToJeWpnNq1vIuDAXTYrLxn6tHbxeSbDizuyrLq4dXNl0CdvY8SgxVv8LS0sK7dj+7a6/TrEZIKQjCmDiyvyxSn/NsrF0Em2WdMmzt5EtNzuQjgxhz50SXmLw0z640d7osT1S6VYfMZYkZkiL5hklD6fg4TehYkCdewke+MMbn76xjKhlzW/dEiKKoyhlJ7pzTHswDapGD5Czf+SoP3Iw+z1bLnKGGu+2HOnxMMbhHa9thMzRmQiik1gjhIPsJb7mpz65DLu/5gEPoxwXAhcBohzBdtUUO6hG5IjIvvGBzI8ywZZiyuc6lCUWyJ8twljR5fs7yx0Wqfuh8jZy4UfiNXhBaG3qBYZBuR+IMdIgwgjjReatUOVgsrQwjAB/5DkfsnrKDkmvxcsayPChdlrX4sINSJHj0Kh1e3r++sAUzjzuzBVMNrmKkSvj6wz4f+nKdQZJOwRfZYTcxzWtOSoFleZjk2e3Bsxwj3825tYqgXHO9KqOJGSqhHZ6AZYPORAtkKlF0fq/QQpNoB9/V/MgbujzwpMftjzcwIgbyLwNtBEHab4nOmiBKWlyS7lSdEp1IHRadOiUU2UyZXjsmPX9FsDl8fmwcUzhsmcOSY+kcZ2w10ZLXv2SqQ7kax00w2uD87R0eUSKYaWgu2aipVWzSRIx8Q+Xa5XMCnOGZ3/lzsVrD5o+zQY1DGrxkCeZb141uhpQBPBn2vEuWYHFYadIL4Lf/coxDJ32Mo7AaymYtM9/bFaTbghQlsWcdDVF+DKuW9/zhcwjy4Sm9I8ET5eKr0pg1nQ3EHM1uGgtukbG4RAiF0A4yTDhvY8yv/liLB/6zT2eQfgG6eOcaRWDSD6uL5E+uxVNqVcak2c3UGxepZhfDKXshi+RPmdGzVb1g9LIxMarDV6PbjJyr7LQK7FyYsbrDiy6DjWtjwgicS7aus4lY3SVOFlJP2bLo6D+cMcrZ9NfqNOuILUiRoh1tEhWl4FKsAnnhmqwC+JBbUtqZVxY2oUzBHSfwJ59p8PieSuF5Z0dac+IKU2pHK+zBUeYpN1APuydZIVE52ZMx4ejj0XM7cp4NeS2IDTYNq6oNRWofipJ9aMosnra4CQepDVddFPGz39viDz45TphIIC4+hBYkUhEmIFTB5G7JJ7egthjIHBUjQWobNxhRdLtLkz6WBYizc2mEKAWapXNoSuf1HEphSJKUXi8TohFric0YsYlx3vHW1+FX6pw4+izPPnYLFd9BybNJk+El9NwAL+yfcrp+tT04Oji9YPPMJiz0ty7JlyKoXA3uIgWfHY6KcSoJX3vQ54OfadDquzaDI5xV7J3Ve+eMPTRhIHN+SvqbAtyFfh06K6t1+VlKH8qvla3BYR1e3lsn9cZN2U0R6ESihUELhU6MfWy0rVeJNc2K5sff2uPRZ31u+4aCWi6cUyMbYlQ6hFakSZ+UyVNgk8oVI0GlmUPSBI+SIEu15RKyAbYjMiULgkdqw1kN9LMSQQno2XORYC3CQciGLS/gxS+6nHa7izPWANeTzEzEbJjpkZhaUVGYZ89KXc6QW4elGISyHDnrdP9ypD/U7lW2Cs/F3jr3x5XQyHOBu3RkaXnpxOw54vCnn2pyYNFN9723wLZHwd5ZQ/FQt05+mGF5MqS1z7Kjgzh3wHm2xA6lc55rXUMuEbJyWk1hABSzxUW+VbcxutiWUEu0UCTCbsEtI82OyYSfeVuHI7MO+08KjJO9qfSQdppWgAW5yECeUrLBxigZm6uU2dPrg2zLdSPMELClKDN5IV8sk4usKT57C8MSZIS9R63BzGUBWO4YVvqS2LgEiYPjewmOm1CvBkyO9egOvHw/86zhVQt78rJin3SuQMk6GQa2/X5HmDur+cYwvBPAMKiLbemGPe/yyITisR4KKDNQ54VUfsxsS/DbH2jyuTtqGNexbWii6LUUQpS0t2UdVbrohspiy8tpmb1HZHa5cIgyfoYJu0Tbw9pyKNDUpAMwTS5HTMbeRiBHHJVE253OtDDpY4kQDjoxxBhcqXnLTX1ageQXfl8xtyLAF3kCyK73LrFONaosyRWRBqAZe1u9iUkf58FmGuwVgeZwkFl+bPs5TXHezDDYz8bgGbCzzbPyKQRGMN+BViAItWSQSGSceCTUZ8PIvxW1FikifFfje9kW1tZrzu08WciJ/Pk5LL08ra4KJ0SdI81eTuKUkzdSmiHGPju4SwVVue6OCdF86f4qX3u4ZnW3UrljkjsnKbgdOSJPRvThKtYeYexcO44S9tlj8lVIH5Ymo4mfsi4nrywc0uPl5/nwIIk2KiUmiTG2h1MYyWtePOCNL+nhiRjiBHQMJgITp4cm1hBoGBhBqCEygliTHoLElB7ng/tLh7GbCNt7hkA5+nt58GzSjWlz0JYPk/7cypEogTCGIBKEsSAIE87bNEWjIm+daLizNV8gm5MXs+epu47ML4n/FbENTEzFj6j6EZ4XpwVMhZRYZZWNyooM5FkSRhRSQ+WyQw//zijgZTlDmRSa+6xWYPY89bqFfRyLhC/cVeU9f9nkxIJbylYWgaVIwT08SHO4W15SLrIq7KxVbkoayTMK+lX6ZDXGVzspo5ZgGeTFwPpiXx85NAWrPF7C6CzwtLMNtXaIAsXmqYRf+NE2b7qxh0sMSQpsnR4jIA+0INSCyAiiEsjjMphHQZ5kx+oLYBTsegjkYLQFs9EmXaFGcwIQJ4IgFvRCQTcShLHmqovX0XDC/3XLl+84cu2VO+0ePfVKB2REZbxNdWyJiq9o9zxWulWSRCJimWvHTCEWQcGw9rbpazOkv4ezbKy6YIptqAvtXXjgOndQ7AakBfAzcMsc7DFSxrhuwuEFxQc/W2fvQR/qmd4uH6vZe4i5Ke85b1ZJlOz3yIqDcj2+WrYUCiX10FbLyyKbhx7K6BWvlydKlZoi0uGT5bS+LFceSonQikQYG1AbbVP5geaiHRE/8j0dHn7G48h86Wou7R0LjpUrEut7p+l4642nwadIE0GpQ2J/XgSbgizYLNmEOv3+zbBskRSv5W/hbIufsRdGPxLM9wSdARDDRQsJW1oR3V6EfffApq07qVTqPP7UCp+6U1P1E177oj61iqDT89PtNEQq6IvWomELzTCqu+Xoa5m8GQJ5yUEpg7sM7CENnpSkShncmd8ds9QR/NHHmtz1eCWtEiyylUXFoHVN3CFZMqK9M/amdPJH9GGRlCiouwg0ec7bqqTFiB4fLr5K61G0rbHWiPRxIVOkzOzDQodrnW7tLRQydVgS7LlPeoabrgz4+Xe2+a2/HGe5lwWa9nsmc1OAWMsU1IVVaOMBk8smk9bxl5/rdGUs6/BCo5ey3SmYs0ZlkQJdpz8vZzmzrS2FgHZg8Gsd3vSyFTwFF1/6EnbseAFB2CkA7tc2grv9tg9+/s7f/fo3zvuF7mDA5+/p846XO2xd6xLFKs0WmdUaNGNhWZYww+w8BOyh54W8EaIM5nMBvORzZ6AWCUpY5lYqYSAMf/7ZBh/4TINO4tqhgaIoprKP7ey+csVgLlHkqAYf6UrKZMiIHrdn3yDOyTnfDOWFBw6jGc1yZrNs2RZ9mzKVJ0KYAuz5ayC0SdncBp7aKJLY0HAjfvKtHeYWFX/8sSb9LNDMgK5Ji74d667k7F1yVkSW/LHzzbMcQsbYWdlGGeBZ4icrwJI58AuwZ6rBlC4CIdKd99LanVfv6PO9r2yxba1AqTrGO/27g20X3OasnC4ALr3z+Jl//1s9peThi9ZXObOQ4Mc+x055+EpQ8csjGYy98koypKjxLQWhglR2nMse1KXfXQ10lUuWrHIwSUGvS45JMvTYOJpd+z3+5rYa7SitEqSQJOXA0htib7OavcUwe5cv6nJGMy+PHXr+zQf+nAXfBWmXhPlQEdJI10/mbAnBMJtnjC6sLy6MQWRgT9k8Sc97HGsafsz3v6bLrd/weGKfbRAuHBUKnxzQSIJ0/mAGbiMtsJ3UMcnYOSMKI0Xuj+czD7OfZb+fdujnf3IE5Ajy8dR2Do6dxrZlagwT1Tl9JsbIMYTiMCff3XvdW365ADjAj77zu6jVKtx6+z088I1HmJ70UdKh3bMfq+LrkkG/mrnLpa1ixO4bSu6Ukjy57haj9qAuaW5jQZzd5zKl5HXLGOUmPHXI42d/d4Kn9/sYN224lcP1Jhl7uyIbwVZ43mdzTEolG6uDyjKwU3bJb0Pofm6om1LLWvFawdSjz3U6gIfUNsybbg12hEPJF7db+kkrT7Sx6XtjEFpZ8GMQoeGKCyLe+wsr/OR/Ezx9ID1BGdUiikk/OBgkoba4T4TAw+YQDOmYt9JapkyRAbVyJWXzEogNNhtqUjZHDoM8syAFlrUdBb4rqFclceJy4IRPozJg50WXsPOSlxCFA+CX84sFgJmZSWZmppkYrzE+phhrOLhuetXmO8tmXySljF7RkDBs6ZV7J8vWXjkLOfw7o9ZfBmpV0t4ZsEWJvR03oWMkf/bZGk8865OoswSVqQ2iBLgUfZZn69QpJIpZVdde1t9ZgFn2xosfi/xcnRvYZ2f0PJAsgz37mS3tW+WmlBuTy/Zhvi+9HnFZ0slYOp2tImLBVZcE/Os3d2nIxFqHpuyoJKCT3F0xBmIDoYFQC8IEwgQiLYhK7kpsRGojps9LluKQi5JbgsXvDjV95CRiGT+rxQ8jzUoHFlYkmhrNsUnqjYn893MGr/guFd87sG5N8+C2jZM7kjjAd4tOnOLLG06vryqQksVr4iyPxTmeZ4AWZeYWhXOSAV0MsXiM48b0tOCDn6vzqa/VCVSmtZ1hgFPMzXblKHsPy5NC7zEiP8Rqhh9h6LIe51sWKsOBZTmzmY9IKx9kzD48YkLkDgrpfcbiMs0appnD9Lk0hsRISF0WL45526t67D7q8MHPNuhGWDbI9UK2TAApV0fpS4mw24pnSR+dDv/JzrERYijpk7ktUlhrzta0kCePwOT1KCI7ByMnTBsII0O7G6FrVcKketBx/AOBiPNfyxl848aNPPPUQ7dOTzY/vm7tVNoVU+ju4emv5Zkl5UIo63sPT50qJ23Ofp8VTRX/RqGzZVbfPQTuOM9YdkLBBz5f5799YIwzi27K1CMgl8OBZZbQUWdh7wzYGdBH9XgG51GZUrYG7c8FQnxzcJcrCjPw5l1UOeDT17K0tB5m8KE6FSPScW/kNmKhy2We9NFa5eMmjFG5T75uSvMrP9biR9/coeHH1sg2yQiTZ355AmlSJjTWLw+NIMoSQEYQZ89N8TzOE0Spl25KLJ774uIsiR7SDbrs30wSQ5JowjCm0ZjA8Wofv+vu+25ds3b9aoADtn1LVm4JIvGEUq7tXnFKXTVlQJe96qG6kNIkKZmsliByNJOZlAA/AvTMORFFIGk1dwr+iuHzd1d59/ubzC47lpplFlCWJYoNToZGQKT3owmsVe4JDAeTgtXEXDiEBat/a8RdsPaIm1L8SOQMnzUiQ+GmaMojl8sJoOw1mYM7e250JlskxmRbhqezVULF+gnNr/x4m+++sWdRq+PVIDdJ6bG23TQGBhoGWVJIkyaFCtlSgLrIcCapbInz59lRAnkJ2DaTaYi1IU40nudRrbpPTIzXbqnX/aFTOwTwG296Bffcfed9gyB8xHEkrqPx0v3cnbxFbGTwZQ7oUo9kOVM5Cuy8jHUU3Bl7p+BNC4SGPO+SY6J8w4ETDh+9uc7p+XIR1XAhVdkWzI6hEchlxj5HoJlVDw6PayuKqQpGL1H43+NWzmpmYB1K3WcsNjpDZVXWswTsMovnGc/RbKeyKf2UyeNQsn4m4Z3f0WPH5hAbUSYpfWYgj4cAbnW5ITZZer/IfoYpsKOzAV2X2DwZ1esFyIvsqEl/1xBFhjAyCCGJo/CRu+68876Xv/wVQ+fUGT3J523fBELQXuzh0MN3BUqVQZ4xtSmG7OTdNqW0fll/lzKVZddECF3S47rkqmSP7UUgZFLocJGgPM3BUw7/5b3j3PFoBfzMLcnqW8sgt1fxcEo+ZW9WZy+tBDz7RK4ydsvAL/9gFNtDQakYri/JQH1WpJfYfNVoCZPuU+nygwAAL7pJREFUpymGN5CVFKl8WQK9NjLdRjvb+Cu9Tx0WYQxoZeOr1APRfcMrXzTgN3+2xa+9d4xDpzzwAFS694gpHXqIVLSw7J0ICzAXy9bZ6pnN9LbtbSKPg4qRFGnNeWaljJxzYpsD0NqOhxgbc5hZuxGt9apTuQrgN930MoR0wkPPzLJ0ZpYgsiXvxZYgemh6q5Q6H74zmqgpPPIyqEfAPZSm1wgyfzxzUpLUM0+QKbiPnHH4r382xqduqxGKdEcnIVcHl1LmgaWTt6IN+9wiLS04W81Jzs4j8mRVGn4ExWV9XrRjlcCfgbsM2ixwLJeElpm9PAATyDrfKbG5Trf0EGm1XTm4zLcbySr/8t+xcsx28aj09xWJNlSchLe/uk+i4df+ZIyjZzwbdH7TdchO0UqMSK1Eu3Im2C0J1Sqgp41E6fczlMxKzfDhIRZgYkMEdAeaDVvW8LKXvSKM4njVu1kF8MnJSYQa+89HqxsuCfWRm7TROFLYHcpUsbdkuZvdNikUKXZR8rPLoJZ5gmg1q1vApysAGYMnqauSMrejOTrv8It/NMZnbq8RynQLtpEaE9JZfCDyCVXlBmJbFmuGAsm8tuQsdSdl2T0K3jJzF2pZnIOavwkusruRwHMI9OfMbpoRiTLc6lY4LTL1wSWZW53VCenUH7eJDkUcg+skfP/r+jgKfumPxjg6750FNcPgtjvLChAKgyDGausok4jGfi8Z6SSkEwmEnbHiGDsSLh+TkX6O8onyUqdqzdo6L7p6+53bt236z/OL7W8OcOmM88m/u7UNM3uPH5l82cbJFTXetI5Ftu2eM+SMpA5KBmxZYuZVrF0we36QWoNlkKfAFpkPLhKEk3Bq2eFX/mSMz9xWI1SZO3Ku47kCyyItPzxtq5S5LD1ezd6F011m+BKd/4NuRUVhmuQp2YGFvEmTPvaaLMCdFkBl6Xujh7OZWRAqUrCXk0EiLUfFKESaok8Sg0PC217dJ07g/2/vy+PkKO57v1XV3XPszOx96ZZW94UACQuEOAzINgbbCYftJCR5+TixDXbsOPEVv9g85z0HTGLHdp6TOL7Ji0PALxgfhMvBICTMYcwNQkIHoHN3tbuzO0d3V9X7o6q6q3tmV6sDC5xXn8/szPT29PR0f/vb3/qdH/9KG/Yf1gcw2mGpbHzQnmMpNcHooyQppGZwE2uimDy+uzKu31MdvwL1P2HqwUQcrmopSgYUsgSnDmT5Wcvy2154+u7y4pUXHRnggBL2RExcPXdGfh3C0TWuo0q7eW7cIcEu2ZD0SoqEjTtaBmXMVJX8bXBLHYUoLIAr1iZEL2MCoUPw9dvyuOUOzdxGbzcFt5ImjMaJDMbuTTV7G2ZuOrG0sGpPKNPLm0HTbudyVKBu4tQwyxNWFjvDJ9Li1sQTSeYWFrAjFhdUBULZIE+wOiCUMNX2GgEHEldsqmLbLgfXf6uEEDC13ZI7KKX2O2ibHmFKB+lMZBWNqKRLII0vQil/VwPfIYAjAK5r5zgG5NSUalMBZ1wSjNfyTw4NT1zd211oelybAvzdl12IJx/+Ny7lbDm09yVkMz6yXqikSSrxIHatawZOMHKSqRPAJlAAhvocoTa7cxCjwan6xXdtyeKmu/KoR30FU3Ik8Vqxt/FYOogliW0xaejQgEZ5gtRrO6qt0V2f1OFHA26kCDHh1IFMLEcEXFu6xFJFwNLhUVxKEuyGxSOQC50Urlk8Bj4FkQ6k4PCIwDs3VfHIcy7u3JpXe2V6BgqGKAQQUnluiImx1RObRLq9YnhOCLgmhYAAFETnx0q4ksARuuiSUPPAQBBVw15KMEbRP3Ou/MXzPv/AuRc1PbaTqqn5S86CCKs3eeKXix052AKgUWpQ29to2DiOL0EC3Ejob8AGv8X+RMZWE6aqY/3ogSw+9uUSnt3lKUFNLeZu8FqqaLOESdBib4ZGSRKFw07B5ga+aWZX/yDJyedR6G+LmCcHf8qDKa18wSgIywa6idNO2cZJisWVdCEpVqeAZnQq1GSW6z2lkFi5IMAXPjyGjzLgJ5tzCrws9Yuknr1Cp91HDE7i2BYT6KNfS0IRavYIibogHW15cQTR59JK9K5SrO7pmjjvnPU3FVqykx7fSWM7C6VZsj6+9cttPXOGJBlGsaWMXLaKjFeH5/pw3UC1vnZVKWLHMV2CVTtsx9Gl0syDhlHWDSU8yr6JrCWWnTsCtwPctjmHT/ydBrdrWNuyccOWKjreBI3au9HOnWRrah33BKgbWJwklqfNgyS1bComT7ueG1LVzHLrG2ILgz0BbZL5I5AAuBSxCTEdvyLtOBVjQzfOIKk9nVI5haQPLJsX4PoPjOGSjVXtdjS2cJ58iFQ8S+QBDQDh60ddPXP9LAIIHiLkHHUuUeEE45xgjBOMBATDPsFgnSOkozjt1LlDdzzw+JcXzp85KaVMyuAAMFQ7A5XqMLbt+Cnevv4gan5etZCWQGyvTlpBYFlK4ngMk4ys/XLEnLIky1PKFVNohN62OYs//98lPL3DU6Gv1AZy2mMZSxM7kcEkEpuE50nLsBl5AiQlSlp/p0Db7LVh8iMSuZxkWWRCIQBJpmolTYtp64px8VuVsiZhcdMiXFAlJ5SlUOlwAURWFXWKpFpX7xb1BVbOD/C5a8YgJfDjzTkAPA6aIea8N2Nu67dFB87Wf7HUlPohzDJIgAeg/gQuPU/i9y5diLZSOz7+3skP8ZQAP1xdXHf4L97X1zNw860PDLa8db0fRbNFrGsmgoSD0Mii27gx0uxlWq4IEEogHYLbH8jik18p4ZlmsiTN3CamlSCerCAJ7oYkhhSQmwVRNTMJpuWKOT8NTE2OoMNt3S2TixFJEZu9rVLWtlWlwdtpQG0mkWbSqBw70tLiRn+bUhNKdxsdTqMeNsqZpR08Zq98iVXzA1z/wTEICdz+gJYJCQ2u992A2cTJRmGpzQBCmhCY9lKDgMg6Lt0wjJ6+Myak472vt292farDPCXAF854SbS3znv4F0+9c+zWm0dbls4+gPn9Pgj14TiBlh0CEgJ1U9Qwip5Qv0XVGyGAPuAJhgIAajQ6AaEUghLcsTWDj36phGd3esrgmai4YwNb/3hqTSyJHQrbJFKwySMB9hSw057MSeNRUmeMoNn/mwNdh4OnQG69TxgpYoeQCsqSKSZPMTcs8yFtZPH4ffK1Ku6j0hSEltOqB49+CAkRSKyYH+CGD41BCuCuB7Pg1D77qYNkebCIVFXE3Ij14wMmQeFzCg5916aOjkXPYKDXxRUbO3D2+RePuS2LHn5p70ij+3K6ABdsFphLByFeufwPf2P9vZLf5Urpw/V8EObjpYMEEzWCHXsz+PptOV0zJT5Dfihx8Zk+Lji9jlm9IQpFAS/tq9ZoIVRVa/rpIxl85IslPL/b1eCeTJZYz1pGmIllmrWTUYKyEdCpVLyYqUmSpQ0r29LFsqrYDJ8G/BT4Tq0vo+URsI3kMelsGrhCh5QmJqIJkFuvibZBRywOy3yYLuqpkx5V3KsyfBgbORCFz1LBIXyJ5XNDfPEjY/jADcC9D2fBibCq91gXvZTISCBf4pjVG+KC031cfFYdQYDEFS4kxT/dlsOLe12MVx3sO5hBKAHhZMBrDGPB+UG1Qi+fO680COSmPL5TAry3g2Hs8C6sWDrnlWr/yIuHX2ZLRiYm8PgTBE/saMG/35/D8y95EILCr7PUbVfFa25+nCPrCFx0Rg3rV/g4/4w6Tl8WQIZqIgRAgZsAd/08gw//TQnbdrsqMjDSXqlHxOIxSk2GfKK2CZpEClqgNMCMJAlJAjYB4BQMG/05qcaliZUbQS3RZKMNM8zG9Q3gZbN1jDvfuPGR8nASrc119kxkKhQqNkUKAgF1oIhJMjZSR6iABkklBLSlRUgAHAgkFs8N8XcfHcOH/ga45+cqUV0dJKkuCC6xZlmAN76hjvXLfGx6Qx0ZR8JxofI7jYzRv++8NXVICTy3h+EHm7N4YnsejzwXolDqQ/fMxS92dc995dnnd2P50nlTAvyIFDM+ugfB+H+grb1944/+c9t9n/7qQ9g3lMf+AzTO+0oHaEQlmeIZNQkkqODYsLaOT1w1jnUrA3S1qhbiXKqD8sc3FLFtjwvppC0j6XJrcVVYEApKFdlniC5aT3TvemIV9ImSHGRsOjQx7ea9vZyYgvap4vTmtckPpER1XiYqJ5JSgDGis05ItK4phk+tbZptJZ/NvupmAczsX7xcdXq2u1wkY/MbW70kC5cm6j0mSnGI2OxLZZxZpWOC4rxY5adg1PgrpDpgDvD8Hhd//Ncl/PRBT5c2JOhqE1i7wsfHrxrH2afXwQQgfKKjF01MOo3md4jmSSpDzHEF9h5wsO1liRdHL8VocNo5vj90/+UXnIkli+ZMid8pGRwACq1zMDI2AeTy+wbrD9y/f7S8cf9oGSjoiPqGCCQT+WPihdVDkhBcAPc9ksHjzzr4wDsr+MjvTGAiJNjymItr/6GAbbtcSM9QHrXErrmIGk2CZmIZFc5EMkkhXbclraublWYDkJIqqWXN5Mx09PZUQza+jVz2kVXCqlmowdOYjByzeTxhhJ5UGlmSiluBsqhIothZyR6RlC5QziBQNUElUI4gClUPkQgJhMDSeQG+/Gdj+Mw/FLD1MRcTAcGHf7uCa66cQFueQ9QBLii4cMCFA8EdcMGiqEfz440xAEQCVaCQcXDKQCfO7F1zf77zgn0iHAdzi0c8rOyIawC47q8+h3UbLh7uay+Ui9n6lY/v2I0690CYA8YcOMyBQxkYZSCaYaUJXzUIMPdUBtRrwBPbHPic4Ic/y+BL32vBy/sZpGuDOA1oM6FMxZvoG0miBITuzhClpZnCPqYkRMTI8YVgL7MZOrkusS4cEuny6D2FiunQbE+0w4JG65HUNhr3wbbLJ9aBOSy6LZ+VPofEOsS6eGVUsjpd/iJiyegCbe7FRWJ+Yhx45oI3Jl6AEKE+IAi6OiTOXRtgZi/HKYs4rrmygra8gPChs40chNwF5x5C7iLkLgL9zEMXnDsIdb6oVB1nceAwge9ciGzL8j8bH925udA2MC3eOCKDm7F80Rzksh0PlwqHbt11cMc7/uU/BpHN5ZBlylJiCIxLlZpUEwQ+dyGI1iBUWLKFoKtVoK+PA0wirKmGRfqwIcHaSIEdMQqIYW99Mql5joAhG4FiXqdPuvn2lMUk9jSmetikrStmz212n+5IueqNhcQYvKdy5Zt1TRBTFD5LpG200Ho7aUaUUSa7zdRIWlPMg5gkCqmK4BOtyfVOqH6Yav+oANyMxP6DDAcPUQyOErS2yMgppdLlFMiD0EEYOjoBWjmazHmgRMBxQmTcGup0KcbDZbcu6lnycHV8eNqHdtoAXzC/H1I+sbuvb9WHHO9J1tdeuZRyjiyLgQTomnGSoM4JxglBhTvgkivvFQCEwIJZIa59/zguf3MNtYDA9wn+4XstqEQn0tYCNqjtiScip066aE9CetjvredoEmkDMwInSQA1MfG0J6jNLgokL5YjYjthJYnBLtP/s4CtwGWmk8kLIWlJsbaRALeWMAQ6VjwGsBQiql4bpbiZdWDeK/lCTPocMeFoijAqAvjmLTl8/pstqPsEQxMU175vDAP9IURNtyLnDEHowvdd+KEDzlVhISnURWbuFowxEOqhu7Pjh48Mnvuhnz704p4L3jA99j4qgKsTtho3/+TBPZdfuPGp+oh/6RNPvQjPcyJGBNEZ1gLIhBKMUHAQVDlVp8OXmNcT4H9cPYYrLqwiw4FshuCqt9Rw55YMnt7pNTGbJe6XjexNGssdR2WaI/DKGIhN9DjSILZBn0Jt0vLVzL4yybE7EtBTz/byhO62LgS7nkpshDDJySldTixPp83i1rPQRnmi41VMCjwxjE7suHLD7PE+EgCgwPadDm68PYfRmgoKuvlOZcr7yw+MYl6X0MFSFGHooB54qPuqepoBOBDfXYWgEM5C9M+46Klz2+7f0953ztFA9ugADgCnLOrHogWzrn/xhe0LKqOH33lwaBQOI1Esh9QAD5jydtY5RQ0EHglx2uoK3v+bY7jijRV4OoMaXGLpQIBNZ9WxbY8LP4EIG4FxEgMQJy4w2GbBlKYlje/TOtOWEwmbNpLLGh4nanI5BdgTC8yXaaeIfUEk41PM/41DyIpRgUrcJcx29CB2/ICk2N84fWjUljtietuRY7ndfU5w55YMnt/hql6MIKgL4N/ubgEowft/YxxrFoSAJPADB9VaBtW6Bjg3tITIQ+56nYC39KZc2/rrJ0ZfOupjeZSF9IDFi+bin2++Y3TNinl/kMllN+czDPkMUMgCBf1czEoUcxKljESWSRSoj9978zBuvW4QV5xfBw0dhIGjHAoCyAiB976tikJBJE9mwmUYmyPNHSPRhcHYvJGqb5JKaEhIDzQDOWlk7wjtjcdD7R05AtCP/iqIUtb0LSMN6IjRLXu4nRAROYOaWFeSALaeEedwmvUQSZP4ASS3Ya44AqBcJvjaD/LwjXGAOoDrwWcZ3HRPG97xiW585w4PEhxh6GK8ksHYRAblCQ/lqotyxcV4xcFE1UXAPXjZzOZMYeAPdm+7Y7S9a85RHEE1jprBAeCqd12Mn21+rHLNf7vU//aN38fY2GG4Dk2cFCEV2KtC4q1nHcZfXFVFwcshqBNVF8/UEyQhmOAoFTiWzw/wwONOo0yJrClpr2WyYH0kU5AENNKAti0GTUCeCIuw/w91AUwK9CPhvAHFETZSW4qCTiIJEEcVQpsO1cIYtDKelxLLk0ls0OuKr1IdxQYWF1DVYpu48oVOdUME/OhXxz+HAs/scjE6wSAbEsAdBKA4VC3gU98uoB6OY8NSDweGcwhCE8Vo8kwBQjg6vBJmLXyHTwipdC9887FA9dgADgCrVw5ACPHQpjeuPfOBzVty9SCA0E2JVIFEApdRLJoHXHFBDjzswkhZh9YyFVqrNQaIkOjo4HjXhXX8/LEcAoPIBhZPypM0e9sSxWjvSJ40APUIYE5IkEmQm95GtOqxM7Y90Uz834BcAiYaMz0RjYsDyfgHJjS47dVsosVJzOYK0DxlC7fYHHqyae0op8D37sri8BDTNWpMuxgXoB4oY/AohZQFfOcnJVTHGPLZDFwHcJjUsS4EIQcozWBg2bpqqWPgIUKOWmhE45gB3t5WQrVa+dTFbzpXVsb2/slzz23LjteUp85lFBmPopCnmNktUS634RBzUWipIefV4bk0IgAlITggBKRIcllDMLZ+ckiU/ddQS9BYSqIW10BKmshJZQqmAL29vIH1mwDyRAzbQpIwEyJmaGNRsdk6ztNEHMhlvZbS1OG2mFp/iFjbbtTiqnVh9DnNtvZZo9EBNxLFBVgGlDlocQjaXIH2jERXluK5XQwzuiQKeYqMR+A6iqiGRkPMnDWvtnDp2X8rpPff87nctI9Zehz7pQEgl8uLbc88eO3c2V2f7+nt8n1fIONS5HMMhTxDsYWAMYl6QFGtu6jVPdQDT9k+uaNaauhA+mT8hY2o5IORlOUkxd4JK0pac0/2OnomSE8qoz1Kg90eJxjccorlMrVCHGlomTMaJoxWgkNKTyez8JP/N1pcpLeRekSx3rZp19LghDrIUoISkyi6Ei0ZCc+REFygXAlRrgiMV4GaT+A6Av19nX6+2Pn5u3+65dp8PjdltOCRxjEzuBkv7Cn7ra3F6zIt3X6pOPHZbIbTlhxF1gOynqorDgAhpwhDhjBk4A6D4AyCKeO+pM26vKcOmKZTRuJY7yjm235QS5ogaT0BUq56kgJyynrSgK60UpkM2McC+NSdwA6uikyA2qkjTVVK4763NLjCN1HygVjLE+C3mNxcGAQ6jU17JCUFSbvrUxeCAbZs9oMtDzQjBFkmkWFSlR+hBhMSdZ+DUVXEh3OgtZgVA/N6Pts3o/SFifFxH8c5jovBAeB33v1OZF23umbl8lvP27hG9rYLlFokPFfpKka12UpaPR112TATRSabgduOQ0ll60TsTWVSnqRBnWZsOgmoU6zdkPBg7VkkraylJ4TU5dTvpUxSgG0ZSawuk/LBfFZZVJIsLWwTokiWebMnmUlw08jhI2BZWuwMneigqnNn4vQZjS1aEtrrzQE/FBgbD3BgsI6uvhWyvXvprYfH3Or6jVccLzyPH+AAMH/ubMyZt/KFNasGrj799DWCcwEhTGtlk70ee96S5RFs2tR/iA3smL0j7U2S2TrJnMvYQpKecDaURU5cAKRhdxrs4XqdaYF3mhaVtORo/GeTt7L5Z+3qVzFT63tXpL3t3E1LngANQBZGd6eBLqxny6Um7SvOGmnHW7Qv2ihBIOG6wJpTTxddfQuuXrVqxQtdPTOPFY7J7z4RG1m4eCl6Wg/68xau/cbOvfRPx/021OohEnXDI0DJSbdDGlyLcdyJjsZMmAYN0G1LyaQOnSayJK2pm1pZUkhNLza8Oqlb/ljkikw8WWRgWVtS6yVs4CAJGRJJG1uXo1FXG/BHgBbxc9w1wrKTw6pYq+dRIh2obh0IFeeSbhmoyG/lkl4sH8j+6YaN677x+LMH/eXLlp0IaJ4YgANAoX0p9u07wC+95K073nj+xnJba0l1G3bjSliJYpxW4UZKBPwawZM7XJVgmk50IFZhmOhhN7pqrHPCEiBPRsrZhhmDwXSYbLTcvJ0GUJvVA5/qY81gICWmNyJwk4ZlsAEN20VvsbbOpkckG2OQCyvT3ga2TIHdrlhrYlNWLwjgZeOKs8YnErccV4WlQt3ItV7nKBSKWHXKhvL6DW/ZMT58kJ9x2pITBcsTB3AAKLTkwMPaD1evPvWaszZsHO7syCPjBHCduG0JMUWComx8FXR/YJji+/dmwZk9C09quHQJNkabgBuWe54mQZ+2yQApoE8lpmXq/STjeAwqsskGEhpbTrJiMybXC5LezWR5iZiNLfCnJEkayMKWLrq+uHmQkOLy82vo6Qx1lX714FJVsTI1v0OhwD1e5fByRWw859zh1aesuWb4cPmHrnvsJsFm47itKPYotbYCAKqVsRuXrTzTaS0E1+/b9dNu7h8Go7oqrakLTnRLQMIBJnD/kzlU/XS9QT25RCpqkMTu+HTdkwRzI13UHon5qy1DEiGzjThrkDKN4wTbCs0wlpXJnD+ItTYhMf0b60tk14b6v83opiSFECqW3bghqNC2dCO/jBjTzaykIIkQWyEJuGRgkiLrcmxcXcfuvTkIXSRfSAZfUl0MX6pYpVCirasNb9503qE3nrvh43U/uHHmzBOju+1xQhncjFy+BErq35o9cOYnS50rDnFJVWwv43AcXduQiQjkHMBtm7OoVU2Nb5Zgb9PyzyE6FY2iSda8pcct5qZN2BuYHMxTmQGnG+M9XZUx2YflFNtQ6oNMoc9JpLnttiexl9TobMSTxZTmbvYwxYC4KZxvFdGXVlOrXA54+9lVMBKnK0ohURdARagw6pArT/eGM5Yfesumsz85UQu/1dHeeoJRqMarAnAAcLw2PPPL+77BZdvHCsUZw57jo5CvIev5cFjcwcHNBXjmRQc7dnsQTcqwuRTIUFVigFFLotBkDHhisqkzWZhtFrRYO83oQBP+TZkCJx1N6P445pXHtnLTOZ20GN6eXCYDseLuaymQi7inj0oxs2SLBjqXcesT0yFCcooFcwIsX1BX/Uw0yEMhUQ6AwRrFhA8MzJs53NdV+Njtt9/9jZ7O0nHjbbLxqgEcAFatvQT5zOh3O7pmfLCzp7sc8GFI1KJKsi7jGB0H/vG2Fjy/JwvpmJbb2kFATSFGXaPOThomccJwOmnXBnzCmoJmDE6aMvVUTD7JosTnj3ocB+0nGN+yfTdj7qikm7CiDaMWJ0T362kEuZl4chH39JEWo0uhkhh46GLpLIE/ets4Wgu+ys2FarTjkBooHcbc+X3luXNnfXD/YO27v/Putx8vzKYcryrAAWBGz6CYt7J+02B11nvuePy02u79gJQuhKBwcyH++Y4cvn9XEXXiJjLlCSVRCbYEuKOMdAvchslNNzjayNQEyZxHG9dN4rka8HY0oJ22JSTxBce5rjXxtGWJcYOaiyCyg0OB3LZsxGA2zE308iSwRWpdu4kV5wxMOrj8wiquelMZqAodgswws7OKz/5hb/2N6zvf88Jw4aaXxoLjcsNPZ5zQSWazke/7E3zws//Cb9my+Ps3/H4r93KFfz449Hx2Zq+Px55j+N49RQxO5ADXQ9yVmIESxd4u1eVzNZidFLhNSQVT/CodKhtPOBvt3raFpFkq2rGOVxvfkwV32RNLO+KQ6BdSL49LuikRFgVnUQkaXRAUkkTVCAEIcB3VRyDBiQQlFJRKBW5KQQQDJ4AfEHTkfLzzggruf7qCJ14qob8Y4Kxly+oXX/Sb5UXz+7eUx6u8VOw5AUd76vGqMzgAfOXTv4XNNwzyt1940f/Ntcz/3XxpoDJeDfCVm0vY+kwXkC0BThZ2u21l97bY29LharJpSRIjUSxNPlnXNGAKwB/FSEiClEvxeC+SI15oR/kFcUEgS4db1WZtSRKxNre0NjfPKSaPqtDSyIzIBYUfepioFLBuGcM1l42hxatizdI5lUVzZlzV07dwFVDYR73u4zxK0xu/EoADwMCqd2P/3vvl0tP++uZ589ve8/MdS0cf3NaDQq6AlowHIt1odwghUaWqZvqbMSSK49hFdKgF8oYJ5XGM6ckOOY0l8TjmXToaZ1DKyqKeSSRNknpbm/wsIKvXJAK5LVe45eSJHE6SANLBRLUFwyMdWLvQw9WXdY5mSv3v+fRnn7n5q//0r/sJIbyQeZXMqifqGB/r8A9ch/UfOwPnrx753bBS+cKLzz7T+fLgCMZ8H7uGJDg8EOYh7xC0OhI5JuA5umIVTYI7mkzSRvf8pD805b00KWrpmiTqOa5hYmqlEGKsM7puCiFx7RSqYqVNRayoNgo1FbGSla2MrLIrahHjwKKxuTOyFFEZm0ETIRAy2kdiBaLZHlwACTt502Nk1qdWEneqOlbcZc+UdAjhuYGuGe+DkBB7D2UweLgLXqYXCwYWDOVy7keKM8R3f+tjDr53wx/8SvH2qmvw9PB6PwEA+I/B4e86juNs2dJ33eArt3dLugN//JV2lOsUhLm6QVFcgdRlsSyJypql2Drtfo+8eekTab2WErq4pPW/SS57W89OpoFt4EwnD2Iqh1Jiham8UNHnrPrrU3x5bFmxow5VQ1UQpcOFuVAkAZWqehXTlafM8aRUsbhxMmWcENWghk9/p4D+9hl4z5UXHeqc84ZPhDz8LiFtx4CW4x+/coCb0dPVAb9e++amCzaS8aHyX339pv3dhWwFBBTj3IPjEXhMBcZ7jp5oWrX74khFm30bXX1xFktz+UDQBJhSL9cZLtEy/YFm2Gm6jeneH6fwNjXFt5SJbacnzqTZBxFHFpr9s134xLq1CT1RpVSCSqkKzer6KEaSQBf6UZNMAodxTNR9jIxzrF5YRFvv+YcWLT/rkzVffrNQaHsVEDS9cdIADgBeJgspD30j33lm2D6j8MVrLru9fXRsG750WxEudZBhQMZRzR0i1rbAzaglIUgjexqPXbRMWvNBY2jQqG1KeNbCBryYiwfaDT7J56Y9JJIzItL4nbLJ6qTJxQBYcgNJaRJ3gUjHfpsvNbE7ismZrgdOzbOQOg5FbYcSAe4ycC7xtZ8U0VFciGt++4LD42zdRw+OBt+ZP+PVc+JMZ5xUgAMAId0oT8gbL9tUGh7a89LAK4f7Pv/3P97u5glHXmcFuaxRYzOtaw3obedMAtxCu6WRvDWrL49fmyB8O77DliOSJNl+KgxLcvT4bn5wks92bmia8ImuGWjib8z6JhHE2jsdSWgmmPFE02xNfYaAUQkpVHgQi5heIiQA1ZNOAHBYAEIYSp0XBoNjfR/Ld1y4ozOf+/HxJAufqPErn2RONqpjDyNbLHk/e/DA7//g7t1fffihXxIqqjSfIXB1oRpusvYpAWO2qTAuPGQQKvT6nAOhUK+FiKPmzEmPnUL2BNI2NRJrYpdeJy6PrKQSSS6z3selk9Mlma3Xtl2fWpNJYk0y9cQznnDKeDJq+QTi3kkxm0cXviAIBUUYKotJKKiJbI2Gmegyqlq2m+wsKY3zB3BdgawXoLVIxcy5K+WEXHL143tXfruvuN8/e+3qkw0pAK8BBjcjV1qHex983i8U5t142gp6b05Wrjh0aP//HB7cj0LORaUuUa6o+ApKVcM1hymgJyqtAlEMMuFae3M7wF6tYq4HIdT2EgytV2gW8tFMsye0/nFQRqSdI1kUR3tH5ecwhZWIWKwNGVeXtYqjRsUtuWLkUFAEIYkufrN9blprM8CFCZZT2y3XHYxXCDJOgFkzZyJT7Pp0rrjw5s7inJdm9B7wW9peG+AGXkMAB4Dz1i8BgOrff/2Wbf2zFl83b2bRGxtt/1S1vI/tGxzFrkGCogdkXMBhgOdogFtaHND5fjp3NuRKO3IBcG6pE4ulE/mNJGY6ojV2pLAtZMsUqEkzzWItm8x03QhWGS9vIk3MKtL21Or/2c4rEt1lpGZz9VEqJTgIQqpA7QdAEBBwYWwwVow9JWBCgkgBhxK4Dkc+W8dTu7MojxexctkC7ha6/teq09que/bpUb68f+HJhlDDeE0B3Iz3v+dy/Ou//Tt/15W/9ZlDg8PO3p33/+kre+/J/GybRI5zeA5B1qNwHRLJA2Jkgj7DQkjUiUDdV51x/UAi1KCP19OMTBHFTE9m/YiW20CexG4YWSesSWizYdvmmxlRJvW0poAdLU7UADfJJHHnB6rvAqFuRlWRDmp1hpqvC2pCJo4jISqsVUrVxYJAwPVq+MXuDmw68w31N1+88W9a2zo/c//PfoiN5152smHTdLwmAQ4A77ryN1Auj6NQqH6qs+0cmin1nTm35w7a7tXORDjq5LMUjkMTAVNKm9PI0cK5QNX3MTyharMYS4xDVcY/THF4M7tMyxLbLDiJfTtZvVVLInuW2SS4u6lV0LbjN51EmvVkA/CT21NfaIObURm3Ydepg9kgxMHDDoZGoStJqXmCw+J5iRm1ukTdF2hv6wxbCoWtH33vZaK/b+nWAyPyU+PjZRQKR+60cLLGaxbgAFAsFszLT/6ff70Nv/u2tcV6beJrQ4OvXFkePUQrlZp2GauT7jgUnkvguQQZDyi1SMybVcPL4wG27yygLUvR4qr6HMqDKSGIshIkMv2bgD2ywkD3eycpAk/JkVSoU+Mgzd5Ki5lt60c8cWhgbaSuH+tCiUKKmUo28VyOrBegkK/iiZ0EP3vSBXyCYp4g41F4rjp+DtM6nAO1egjXy6K9c7Yodc+6Bbn8HzF/sDyj99VJUDjR4zUNcHv89rveht27d5e9TPaDQ4f2bd/23BMrD4+MvmPHjhdRqQGEOXAdglyGIJeVKOQkutsDLJ9fQV2O4sk9FMPVQtzLR6jJqdQ9bGgTqZFgScu0GJvPZZzYi5Qc0fX+prJTNcv4T8gPJE2jCbyThpeJiN/YoqIZnAl4TohCvgYuy/jB1iLueZRg9awAQlC0ZClE1gEhDA4DBBcYGQswa/Y8tBRKt55y+qlPzZo540u1Wq08e/bRV3k9WeN1A3AAmDt3LgAM7tv7yl+cd8Glc/e/sh2dnZ3vuPu+JxBWKyjms8hlCVqyEoUcRy7DQUDwprU1/PuWMrY+2wJfEGSE6vbbYBc3I60hrFWigCUkLS52cUDTl7LZ59Dsq6zJZDQ3iOz+Vh8dY+NOWXCiibG9UVhaXHdVY4wj5/l4ZLvEHY8WIMFQ9bkiCAKAhCBEIp8V6OvNY8HiVZg9Z/Gtq1Ys/nB5fGJ3d/erH956osfrCuBm9M+YiXrl8O6lS5d+VBLvxnzb3A/tfWnHOZWRHXAwhmyGwXHUSeUS6OuQaC9y1cHAEriJDHQAidrgKfKN3PdQoEn0npSm76Sl52V88dgXha2nJ8vopzabpxkeKc8krEKcMN8V31fUHEPfTbQTZ7hMsG/IQX9RmUlDLlGrC9TqAXK5dixdtgyrVy64rx5mv9TRNfDERDXcPWvWrJN92o9pvC4BDgCZfDsAbJdSbl++Ak9t3Sr7u9oW/+PwwecXvrLnSVaeAIo5ZSYLhUQoHXiUqPp4NO4pZIMPSOpXbTGOvjPBxgnzYtyEybbGmH7zTW2FtldSM20MbGMqbGTvhnAbqfvQa9s/g0xePERZSEJBEXCGkDugxIfLQiXNKOA5EqFgOGPtqfz0NUu35zzx3gWLz9wHYBtpasZ5/YzXLcDN0CdgW60ytE0K8aZCwZ3ZP+fUW37+4JYSdXa25DIHcNcjDh7fnkdbBihmBDwWu/JVLLRUhVCpyRoiaHpeZXICaXrW2BaUeJkFdBgGRUJjJ6pwIWnXTsaySyscITY6mjsQkXEgFaPmuMRFloSgqPsqlns8k8Wq+RW8de047n2kgNbWAs5cN2firLPOHhuvBJcvGpjzisPY7tc7sM143QPcjGy+E1KK3f0tXS+Njo2vOG0t1re2rPva+NgThYd2PddW9SuYWZDoLgpQSnBoTDs3ZAwKU7jfWBGiEmPRbT9O8aJQgDbsGUfmTfJIRW4lU+rS9utUwaIUy5th3O627Z4xlV5GqYTrqLjtkAMHhrKg1ANjEj0ddVx1SXt51er1w+tXr3Q6SvQPly0ZeDCbaxmVUgpKT34MyYkavzYABwAd3CPKI3sP9/b23VGo/3ge67/y99531cRHOLnTH967i8xpry/N54Pst+8cRckjCASAgCDnKWBnXAJXH5UgBASXqsMvYpc3BYEAAKmzFaXRxab+nqJ1IqTKd9Q2+ng/YcWaWMkPSAI6TjqIY00IjRk85CqWxA/VEs9Rrb0lgIwbglIfQhLkshU8vbsd3e2FWm+ffC7Xvs7dtGTDjZe0/MVfP/L4WZm+nmLtwOCYmDencKRD/Lobv1YAN6PYNgMAxNBoCEbpNz0v+JbrMFy2aRXr7yl8NeBji58b3Hl2f24v2z82gkefzqGU9eEwB7ksRT7DIAGMlAP4XAVp2ZIBVIKiWU8bPaEDgRQSnKrbQKzNY2liVwdoqJkImWBsG+TEBjwlqNUpyhPK25jPCTAK5FyOYkuAX+7g8MM+nLuuha9YvXJzId+xrUbKV4Mc4q6Xh6hfL2lmoHKyz9erOX4tAW5GZ2v08yQA/C0Q7tk3+kfMybT/5dyhz738wu3evY89zcer3afN7cLptYlhuLSOzlaCUgG45zGO0TEgnwFchwCaaYXQulrTLpVJiwyBljVcRs0PmFAxMYTE0YQOU2A1I5p3WokcTK8TlaHTn/McgWwmgJAhfv50HhkX6OlgyGdzyJf6kCuMPToejPzClytYx5wL/betaf9zcP8wcTpO9mn5lY5fj5nEcYxbf/SfIMA5nAebfL9yOZH+kq5SBVk8hM/cKLFnF0VHzkc+S5DPOqq/kBVy6zpK0qj4dBX8RbQDyYT3ug5F1mPI5xjyWYp8DshnJFxHXRWhDj9VcwAlMxwq4bkSnqvqiggdzkpJCI8FyGUD9HYEOFD2ccO/9OHijaswMKeIrvbc822tuVtyWedOKXHf/CXnnuxDfFLHrzWDT2e845LzAeC+oaHD9wG4Xwg+wMQhMbL3IXHqioH5Z582+xMv79mDUp7h8PBBjIwcRs2XODAm0dHioq2gpp7KKiPhEArHIQhDYKQsI8eJw1R9P0qUVs5nBFpyHIQQHBx2EIYEjAkwlVmgJ8ASuYyPfGYC+4fyqNYdtLW1oruvE1mvhs7eGagd2HldwIKdGzZsoANzO6jnOjskcEex2H6yD+1rYvyXZ/DJxp6XDyKXy7Tt2Ln3nC0PPYV8lgZ9XS1/IqW8qOoLvDwU4LFHHkPemUA+yzBRFaAUyDiq7mJ3O0e5Pox7Hm1BX5Gip52hreiircjQUZLo6/TR1VHG3Y8CE+U2dLe5KBVddJQYCBUYrzLkMxzzZzMsXrIcB0dKqPseKCV35bzyF13mu519K5EvzLqP8/pIruX152X8VYz/8gw+2ZgzqwcARgDcBgD79u0HgOdCznuDUIgDIz52bn8BNPCRyzqoBxy+Xw82rF93rQirl8ztqwUz+w6h0JPH+EgeMzopWnT3uUJOYkZ3HYcnRjEUZDC7P4slc1vcrs7Cj/bufvRa13Vd1BxIMGQyebT2ngKnVADnDgVhBwDs7O7uPdmH6HUx/j+Dn8Bxz38+AID0lscOtc7ursrFC4bxo60e9rxcxIwOglyGIp+jyGWAGV11vHhgDD/amseyfgdL57eQObP7RqWUB5Ysf8PJ/im/NuP/AXEzb9OA5FqmAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIxOjE1OjA1KzAwOjAwCocDkgAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMToxNTowNSswMDowMHvauy4AAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 68248717
{'hecke_orbit_code': 130604389227304171, 'n': 1, 'trace_an': 3}
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id: 68248718
{'hecke_orbit_code': 130604389227304171, 'n': 2, 'trace_an': 1}
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id: 68248719
{'hecke_orbit_code': 130604389227304171, 'n': 3, 'trace_an': 0}
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id: 68248720
{'hecke_orbit_code': 130604389227304171, 'n': 4, 'trace_an': 5}
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id: 68248721
{'hecke_orbit_code': 130604389227304171, 'n': 5, 'trace_an': -3}
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id: 68248722
{'hecke_orbit_code': 130604389227304171, 'n': 6, 'trace_an': 0}
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id: 68248723
{'hecke_orbit_code': 130604389227304171, 'n': 7, 'trace_an': 3}
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id: 68248724
{'hecke_orbit_code': 130604389227304171, 'n': 8, 'trace_an': 3}
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id: 68248725
{'hecke_orbit_code': 130604389227304171, 'n': 9, 'trace_an': 0}
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id: 68248726
{'hecke_orbit_code': 130604389227304171, 'n': 10, 'trace_an': -1}
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id: 68248930
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id: 68248931
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id: 68248933
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id: 68248934
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id: 68248935
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id: 68248936
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id: 68248937
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id: 68248938
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id: 68248939
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id: 68248940
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id: 68248941
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id: 68248942
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id: 68248943
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id: 68248944
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id: 68248945
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id: 68248946
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id: 68248947
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id: 68248948
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id: 68248949
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id: 68248950
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id: 68248951
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id: 68248952
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id: 68248953
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id: 68248954
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id: 68248955
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id: 68248956
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id: 68248957
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id: 68248958
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id: 68248959
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id: 68248960
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id: 68248961
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id: 68248962
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id: 68248963
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id: 68248964
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id: 68248965
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id: 68248966
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id: 68248967
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id: 68248968
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id: 68248969
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id: 68248970
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id: 68248971
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id: 68248972
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id: 68248973
{'hecke_orbit_code': 130604389227304171, 'n': 991, 'trace_an': -18}
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id: 68248974
{'hecke_orbit_code': 130604389227304171, 'n': 997, 'trace_an': -20}