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mf_newforms • Show schema
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{'Nk2': 1288, 'analytic_conductor': 2.571182945085228, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [322, 3, [185, 281], [1, 3]], 'cm_discs': [], 'conrey_index': 93, 'dim': 8, 'field_disc': 1767277521, 'field_disc_factorization': [[3, 10], [173, 2]], 'field_poly': [7, -38, 64, -40, 38, -10, 1, -2, 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': [[3, [81, -81, 162, 63, 81, 9, 10, 1, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474166202690, 'hecke_ring_generator_nbound': 7, '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, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '322.2.e.c', 'level': 322, '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': True, 'level_primes': [2, 7, 23], 'level_radical': 322, 'minimal_twist': '322.2.e.c', 'nf_label': '8.0.1767277521.3', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\beta _{6})q^{2}+(\\beta _{4}+\\beta _{5}-\\beta _{6}-\\beta _{7})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '322.2.e', 'trace_display': [4, -1, -3, -1], 'trace_hash': 37897108491527358, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.047', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '215.473', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12873.145', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [8, 4, -1, -4, -3, -2, -1, -8, -7, 3, 6, -1, -2, 1, 6, -4, -15, 7, 1, 6, -1, 12, -4, 1, 5, -1, -10, 2, 12, 3, -8, 4, -9, -30, -6, 14, -8, -1, 25, 3, 18, -14, 28, 6, -21, 4, -9, 2, 5, 10, -6, 1, 3, -5, -24, 1, 46, 6, -12, -3, -11, -16, -19, 8, 0, 9, 1, -15, 2, -30, -6, 7, 4, 8, -22, -2, -9, 50, -5, -3, 8, 9, 24, -13, 48, 14, 9, -6, -27, -42, -26, 8, 25, 9, 3, 1, 4, -26, -18, 5, -27, 6, 22, 2, -21, 6, -6, 5, 28, -12, 28, -1, -12, 23, -3, -6, -23, -24, 36, -6, 8, 11, 27, -8, 18, -56, -8, 4, -56, 0, -21, 18, -44, 2, -3, 15, -9, 1, -8, -24, 12, -3, 0, -7, 18, 8, 2, 16, -6, 22, -32, -1, 84, -27, -12, 25, 19, 5, -15, -6, -1, 16, 7, -9, 18, 12, 60, 1, -6, 24, -17, -14, -33, 18, 53, -12, -9, 27, 3, -21, 10, -1, 124, 4, -30, -25, 30, 18, 2, 6, -6, -1, 4, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1288, 'analytic_conductor': 2.571182945085228, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [322, 3, [185, 281], [1, 3]], 'conrey_index': 93, 'cusp_dim': 88, 'dim': 32, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 274911461698, 'hecke_orbit_dims': [8, 8, 8, 8], 'label': '322.2.e', 'level': 322, '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': True, 'level_primes': [2, 7, 23], 'level_radical': 322, 'mf_dim': 104, 'mf_new_dim': 32, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 96, 'trace_bound': 5, 'trace_display': [0, 0, 0, -4], 'traces': [32, 0, 0, -16, 0, -8, -4, 0, -12, -4, 8, 0, 0, 4, 16, -16, -16, 0, 0, 0, 20, 16, 0, 4, -28, 12, -24, 8, 0, -12, 4, 0, -24, 0, -12, 24, 0, -4, 4, -4, 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mf_twists_cc • Show schema
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id: 40811111
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 277, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202690, 'source_is_minimal': True, 'source_label': '322.2.e.c.277.2', 'source_level': 322, 'target_conrey_index': 277, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202690, 'target_is_minimal': True, 'target_label': '322.2.e.c.277.2', 'target_level': 322, 'twist_class_label': '322.2.e.c.93.2', 'twist_class_level': 322, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40811112
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 277, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202690, 'source_is_minimal': True, 'source_label': '322.2.e.c.277.2', 'source_level': 322, 'target_conrey_index': 93, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202690, 'target_is_minimal': True, 'target_label': '322.2.e.c.93.2', 'target_level': 322, 'twist_class_label': '322.2.e.c.93.2', 'twist_class_level': 322, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40811113
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 277, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202690, 'source_is_minimal': True, 'source_label': '322.2.e.c.277.2', 'source_level': 322, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594071484622, 'target_is_minimal': False, 'target_label': '2254.2.a.q.1.2', 'target_level': 2254, 'twist_class_label': '322.2.e.c.93.2', 'twist_class_level': 322, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40811114
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 277, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202690, 'source_is_minimal': True, 'source_label': '322.2.e.c.277.2', 'source_level': 322, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 94575592208337102, 'target_is_minimal': False, 'target_label': '2254.2.a.v.1.3', 'target_level': 2254, 'twist_class_label': '322.2.e.c.93.2', 'twist_class_level': 322, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 685850
{'charpoly_factorization': [[[1, -1, 1], 4]], 'hecke_orbit_code': 9007474166202690, 'p': 2}
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id: 685851
{'charpoly_factorization': [[[81, -81, 162, 63, 81, 9, 10, 1, 1], 1]], 'hecke_orbit_code': 9007474166202690, 'p': 3}
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id: 685852
{'charpoly_factorization': [[[9, -15, 34, -3, 21, 1, 12, 3, 1], 1]], 'hecke_orbit_code': 9007474166202690, 'p': 5}
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id: 685853
{'charpoly_factorization': [[[2401, 343, -98, -119, -17, -17, -2, 1, 1], 1]], 'hecke_orbit_code': 9007474166202690, 'p': 7}
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id: 685854
{'charpoly_factorization': [[[3969, -2961, 2209, -756, 345, -94, 36, -6, 1], 1]], 'hecke_orbit_code': 9007474166202690, 'p': 11}
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id: 685855
{'charpoly_factorization': [[[-49, -70, -24, 1, 1], 2]], 'hecke_orbit_code': 9007474166202690, 'p': 13}
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id: 685856
{'charpoly_factorization': [[[15129, 20418, 17962, 9258, 3471, 838, 147, 15, 1], 1]], 'hecke_orbit_code': 9007474166202690, 'p': 17}
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id: 685857
{'charpoly_factorization': [[[3481, 1475, 3280, -1007, 1991, -5, 46, -1, 1], 1]], 'hecke_orbit_code': 9007474166202690, 'p': 19}
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id: 685858
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 9007474166202690, 'p': 23}
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id: 685859
{'charpoly_factorization': [[[-81, 100, -15, -6, 1], 2]], 'hecke_orbit_code': 9007474166202690, 'p': 29}
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id: 685860
{'charpoly_factorization': [[[7569, 8091, 8127, 1950, 867, 138, 70, 8, 1], 1]], 'hecke_orbit_code': 9007474166202690, 'p': 31}
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id: 685861
{'charpoly_factorization': [[[14432401, -2283199, 817081, 11336, 15409, 242, 184, 8, 1], 1]], 'hecke_orbit_code': 9007474166202690, 'p': 37}
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id: 685862
{'charpoly_factorization': [[[-567, 306, -18, -9, 1], 2]], 'hecke_orbit_code': 9007474166202690, 'p': 41}
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id: 685863
{'charpoly_factorization': [[[767, 371, -18, -14, 1], 2]], 'hecke_orbit_code': 9007474166202690, 'p': 43}
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id: 685864
{'charpoly_factorization': [[[408321, -193617, 120564, 2133, 4113, 201, 126, 9, 1], 1]], 'hecke_orbit_code': 9007474166202690, 'p': 47}
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id: 685865
{'charpoly_factorization': [[[11350161, 744549, 604726, -16251, 24519, 53, 174, -3, 1], 1]], 'hecke_orbit_code': 9007474166202690, 'p': 53}
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id: 685866
{'charpoly_factorization': [[[6561, 8505, 11025, 1944, 1341, 210, 144, 12, 1], 1]], 'hecke_orbit_code': 9007474166202690, 'p': 59}
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id: 685867
{'charpoly_factorization': [[[58537801, 20397566, 5592658, 696190, 76181, 3154, 319, 11, 1], 1]], 'hecke_orbit_code': 9007474166202690, 'p': 61}
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id: 685868
{'charpoly_factorization': [[[790321, -67564, 80452, 8162, 6091, 236, 85, -1, 1], 1]], 'hecke_orbit_code': 9007474166202690, 'p': 67}
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id: 685869
{'charpoly_factorization': [[[-369, 420, -126, 3, 1], 2]], 'hecke_orbit_code': 9007474166202690, 'p': 71}
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id: 685870
{'charpoly_factorization': [[[2152089, 92421, 135999, 6066, 6885, 234, 106, -4, 1], 1]], 'hecke_orbit_code': 9007474166202690, 'p': 73}
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id: 685871
{'charpoly_factorization': [[[1315730529, -39610116, 15121296, 56598, 116643, 264, 409, 5, 1], 1]], 'hecke_orbit_code': 9007474166202690, 'p': 79}
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id: 685872
{'charpoly_factorization': [[[-1029, 490, -21, -12, 1], 2]], 'hecke_orbit_code': 9007474166202690, 'p': 83}
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id: 685873
{'charpoly_factorization': [[[531441, -85293, 138348, 59373, 26811, 4383, 558, 27, 1], 1]], 'hecke_orbit_code': 9007474166202690, 'p': 89}
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id: 685874
{'charpoly_factorization': [[[2427, 600, -219, -2, 1], 2]], 'hecke_orbit_code': 9007474166202690, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 3, 'label': '322.2.e.c', 'level': 322, 'portrait': 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VhBYkIW25L+MCDUAuEsc1OWDZOGpXZEuy8YpAHLPcHmScviquX4vKIWhGyege1zMZtmB2ycHbJ5dsj2TY4dmxVXXBBQV02OHJ/ga8+EPLY/5aljCUZ1+LaXrvKWFzvqapb9x6Y4clpz6pzhbAbuA+cdN121wC++c5kLNkxyamGac0t1FlcCFlclyx3DatfQ6cPew0vsObF6xXMHzrzs2Kn5C4+fPveFW179XfH9X/zYNxoSf6PbNzWDn19qM4gNSol33/vooRf/wns+LN/x0iMv/n/edkIvrWxicWWK88sNFlYiFlc0i6uCxRXDUjthccVwdgUOLQo2bljhl35gkRde2uDE/AynzzU5fV4zv+g4ez7l5ILhXCdlambAS67p8qLLIZR1IhUxv1TjzHnN2SVBbwhpaqmFlmbNMD2ZYoFjZ1PaXdi5KaBZH+KcABHS7Vt2bB6yuKLBeSmy0oVhCg7H0mrMto0Bnb5CKIewQyZqATu2DFjpCY6d1hirmZ2QtGqCKIA0FfSGkrNLkjOLjvnllCgaQJByy5VdXnyVYG6izuLyBCfmI06fh/nzKfNLKaeW4NCi48Yrz/Pvf2CZLVMTHD87w/xSnYWlkPOrgsUVy1I7YWnVsNi2zLclx9rQX17mPT+TpD/whvCBYObHra5f/QDYn3ciIAi/ebOj37QM/vt//DFe9uLr+Zmf+Ze/8kcfvvv/fs8H77r44ImVCw+f6siXXN1n1xZLmmqMVTgncciMtyX+unUo6YgUnFqs89BByTW7l7j8ggGNGgRaEgaKMNQ065JGIOl1A/YdrXHnYyHHzg1ppwn7TgzZNLvEG1+yzDUXd7jx8lWOnk853xM0ogGHTztW202uvkiyMjDsOapoNTTPHoNLtjoGsWFgQrROmG7B3hMRShsCmaID6A8lL7y8R78nueZiQ7tvOHa6xa7NimYjZmXo2DjVY7nb5iN3wRNHDE8dGbBz6yLXXtZmeibmDbd0+K6XO3ZvbmGSKY6cmuTQyYATZy0nzyWcPGc4dE5wfCXhBZcu8O9/oMPmqSlOnJ1hfqnB+ZWQ86uSpVXLSidhpWNY6VqWe4L5nqLdjXnRlYv81JvnZTMyF64sHtkVx/HNunFxParNfOnpRz7B+37vL77RkFn39k3J4H/+4Y9z83U71Ofv3vcL+w+f/TcPPnlMzS8nrCSapUHKtbvm+a2fWOC6ixvML06zuNJkqV1jaTVgcVWz3IHlVcNyO2Wpk3J+FU4sC3R9wK1XLfGOl8fs2thkpTvBuQp7La16ibDcsbT7lvbQ0RukzE4k7NhkAUEUOE6eCxAyYudGxa6tjq0be8wvD3nyQIsbLnE06ss8c3CGVjMmjgNmpy39AVyxY8CH7prisgtShkPHhklJYvq0ahHPHh1QD5pcd2nKU4dj5hdDts1G7NoCOzbHKJVw8jyEgUMIx85NKdMtSacf0e0FtHsBS23F0gosrlqWVg3nVw1nV2FxYNixrcs7XnGeWy/X1IIJzpyf4PxyjfMrmqW2YDkD93LHsNxxLHbhTEdxbiXl5svP8Ov/ZJHLLqix2mnR6UUM4glccJkRwdZfOd+/4pcnwmPmpbd9xzcaOmtu31QA379/P7VarX7m9Kkdjz3xzNsPHD71H5/de4J+ougOBSsDwcJAstBJuHH3PL/xTxZ5wUV1zi1Nc36lyXK7xlI7YLmtWW7DSsey0klZ6aQstR3zq4LTXQeiy1teusobXmi5aEuNOG6wvFpjpRuy2lEsdwWdnmAwdMSpwxj8ahBAPXJMTTg2ziToYMChMzFPH4ywaZPX3RyjgxUe3TPJhVvg8w+lvPTqiHOrfWpakZqEmWlIkwAdpCwuNnjJ9W0+/9UWu7bAIweGBDR47Qstqejz9CHDkZM1tAzZNK2ZbgrqkSAMBUpAaiFOHIMYOj3HStfS6VlWepbFrqNvDDu393jDi1Z5y4tjsC0WVya93l4NWGprlldhpWNY7aYFcy91hQd3O+WmS+f59Z84x9UX1llcnWS1W6fTC+n0Q5ZXJTK8gKC++d9u3nb5X+7Ysf34YDDoX3LJpd9oKBW3bxqAHzl8kI1zc+GBgwd/+MDBA+977LEnxbnFjuz2Ld2+pTNwdAaC1YHgXF9yrpPwwkvm+bUfXeL6i2ucX5licaXJcjtipROy3NGsdAQrHUe7a1jppKx2Lctdx7mO4MyqZXqqx7fc2OGWy1N2blJM1APanRpRIAFFnEqsFVgHvQEgLNOtAQdOOayLueORJsNenYu3hdx6TY/ErnDvY1Ncd0nAgbNdVpcneNE1Pb70aMSmGceeY46fenObPUcjNs1I7nxMcesViqVem8MnZrju0ph7n+6TDhvccmXI7gsG9NMuX3xUgREcOqmZaGi0gF7fB9XGOpIUkBYdWla7jmYr4YItQ158RY9vuSFltlljfmmSxZU6y21/bJbbgtUurHZSVrspq13Das+x1JWc7QoWOikvuuwcv/KjC1x7UY3FlUlWuw0P7l5Iu69pd/0xHqY1e8ml17iLdl/8rt0X7f7j8+cX4ksu/eYA+TcFwNMkkfGw/8bHH/78xctt8+sPPvRoECcwGDq6g5Re39IdWLoZyFcGgvN9yZnVlFuuOMe7f3SBG3aHrLQnWVhusdqtsdIJWelqVjuK1R50uo52L6XdNXT7ltWeY6ErWOhCYoZce0mfzTOGbs/x+hcNuXCzJTUSLR1xAvc8WeP4uRpbplOeOVQD2+Dy7YrrL7NEtR6PHuixcL7JVRc2mZha5qtPBdx0SY3F3grLyxNs3ux4aI/i+17Z5eE9mu0bA853V1lemuH6K3p89RnDTH2Kqy7ucm51lYeem6Kum9x4mePSHQOQXZ48Itg4kzC/kHDvkwGDRCElGOu4cEvMt7woptNVbJ22XH8JxHGDpdUGS6sRK92Adk+x2pW0u9DuGdpdQ6dnaPcsKz3HUl9yalWwOhhy66UL/PKPLHPTpRHzS5O0u3Xa3RqdfkCnr+n2FJ2+pNMTtHuG/tDwgutuTJJU/qt3vO3bD7aa9c9oHdhvNLa+4ZnMNOlgbe8H5k8+/JtL5/bPnDq7zFRL0hsKhHD5vwIBQlikcEgBWliU1Dy8fxM//4eat9y6xHe/cold22LOLk4QhXXqUUgjCmjWNZ26pNUPmGxqegNDt2/YNLT0h47OIGJpocbJE444tZw6mxJFDhCEyqGloNdXCALSnuYFFwp2b3Xs2NZjaDrc/rBi78FpXnNDxPVXLPOB2x2haHDhth5PfVWxbUqxYaJHTdWJk4BzHWjWNNs3CZ7YG3P9pXVeft15/uSzfcKgxatvdgRRjy8/FPP5B5s8d6TORVsbXLjFMDcds2tDwtUXGpSyaOUARyOKmJuKiJOATi/kmQMB3YGm11d0B5JuH7oDR7fnv3unb+j2He2+Y6UPCz3F/LKjMbHKT79+ge+4dci1FzU5c76VyZKITs87Pr2BB3e3L+gNHcPEMRg67rr3oaDRnPnN2bmHlm57+c3/Ynm19yfTk43/fQGeJl1A/Mjy2bveffrIl2fS4YBmLcpsNsAJQOEAIQxSgJIWKb1DopUjlJKnDszx+P4m+0+f480v7vLiKwdMtSZYWm3QbNeY6Id0e5pOdrL7A01vqBkMHYPYEieOJHGkxt/jNMRZkEoQaEEtFEy1BNMt2LzBsn1Tjw3Tq3zhUbjv8QBpJ3nNDQEvuLzD/c8lxIMJbn2BYLXf59xik1sutWyY6lHXEYNUsdBOUFbwgks1jdaQx/bVeNn1k7zo2g6P7VPgJrnhypB//G1LfOmJmDsfbrLneI0dc4rNM3WmWw0mW1CPINAOJcE62HNEYIwgSQVxCsNsFRwMDf2hZTC09AaW3tDS7UN7CAtdybkODO2AV123xBtfvMr3vtqSphOcPd+k06tlmjugmx2/3kDSGwh6A0d/YOkPPIP3+paT82c4/MEvzCx17P/7PW9+mV5t9/5wcuIbB/JvGMDTeAEh0n/cnv/Su5dOfmGjdAOajQYOi3MGkAgkCIEQfin2ABdI6ZlLK0egLPVAcL5X58N3befLj7d56dUrvPNVK1y9q8vsVIPFlQadfkSvH2TAVv4eC4aJJEkFaeqXepctGko6tIZaCI26ZaaVsG1jj5QuB04lfOTeGodPNJmK6tx0peaWa9o8tH+VO742wc2X1NixpceH7hIoETHRSljpDrEOlIC5iR7tTohN67zxpef48Ocb7J6v8Yabe8TJIvc+PUtiarzwyo284aY2l1ywypcf6/HUiQZPHgnZPiOZmRA0IkEY+ItQChDCYR1Y60jS7GJNMoaNLYMY+jF0BoLloWCpA0IPuO6yFd75LSu89ErD7ESNlXaTlY5n7e4goNfXdAeqAmxBf+g8sAeG3tD41zEYp5ifX+X3PvSljb2Ed3/vm1/iTpxd+aMLNk/97wFwt/QfafcvIFn62A+atPPr/cWnNwjbJQobJGmKtSIDmUDgEIAUAikUUgqUNCgl0MqilSXUjkg76lqwPFAsrk7z0XuaPPhMl1uvXeGdr17hut2rzJo6aRrRG9To9gP6Q02cKJJUkhqJsQLr/N+UwhGFlkYtJQpjwmDIqcUhn31EcvBkyJGT0ygbsXtLyBW7FDdc3kZFCzx9qMW2qQZXXQSb55ZZak9w9TZJah1feDhi2JNMNVNe+8IBn7k34fjZFpddHHBmZcCzhwMu2DTNtbsWuP+pDl99VjCMQy7fNcPlF0Rcvr3DoTNLHDwFD+9tcOBwk4YWRFrSjBy1AKTMFj7nL9bUQJxCbATdoaA9ELQTiG2KdQNuvKTNO7+lzUuvNmyZiRgMJllcrdHpRnQHIb2+pjfwkqQ3FPQHkv4Q+rEH92DoAd6PHf2hy1ZEgXGaY/Or/OaH7t746MEzvz43VUv/3Xs/+YG9B87ykd/88X+4AP+Zd78Xpv+MZPXbvzcwB9+Tdo9NSRcShk2MTUkjXwyVsygohJBIKVFSoJRCK4HWBp3Jh1BbwsARBY5GaJiqCTrDgOX2NB+/b4K7nhywabrH21+xyuUXDBj0u1y1y3HBZsUwCTBGYazE5eCWlkAbjs07jpwVrPQtn76/wanz07g4YLqm2Dqr2blZc9E2uGp3GyvP8/ufabK0NMnNl2uu2r3Kl58UiDRg47Sk2UjpJSHSSXASpUNWB4L5JcGVrsErbujwwGN1tm4IufmqGf7Rt53njz/f4eF9TbqDgMWVFru21rlsS48XXtrhO1/W4fTSEp++P2KxF3HsTMCpUyGBEkgpEQiscxgLiXWY1DI9m3DNlT2Gw4TLLxjy1lcM2TipmGlFJEmNMws1ev2Q3tCvcv0M2P2hpD8U9IeCwRC/EgxNdrce3LGlP4ReLOgn0E8FQzTzZ5b5i4/fu+GaSza/55YbtiYf+c2df754/FeZ3fFz//AA/uO//Ke0rvke8f0/I962ffKZP3jHK55tXLtb45zE2BhrJdZKcODxLRDCs5KUoKT04FbZo/ZADLUgDCy1wFFPHI3YMVkzTNcFvVjSiZscOdnk1/58BmyKSFNuuKbHrs0xaQrWWZzzSRwpBFIJdBCy73jInoM1mjVNK5RsaAjmZiUbZzRb5xQ7txgu27mCEYv8l09McOz4FDdfGnD5hYZ+2uFrT0dM1QNmJx1TrZhG3UshayWrA8VS17G4aljt1nnJVSs8sqfH3uOKqYkaL7xyih994yLv/SQ8drBJt+9Y6WjmlybYvKHBxukBO2cH/Mzbekw0VnnqCOw7IQkCh1IOISz5gXQO0hQu3Gy49eoUkwQkaYRzDQZxwNnzIf2hX9EGsSrkWz8WDIaSQSzoxzDMtPwwtgxjm0keD24vfQS9BHqJoJMKeik4mzIcDEi6T059x81n/uC9i+dSpn7oo/2zNVff/M//4QD8x//9B9i8cVLtv+9P3rL/yPwHPvjwfO2JPdP8+k+1uXxHH19ULzywM+dECpDS+YBSKa+3ta+NDrQgDBTDQDKMLVFsGCaOemIZJpY4dkykMEwswxTiVDBIJEMTkZgaew82eXIvGOfw0PbaOJAQKl/z0Yrgqi0wUYfJpmS6pZid0mycgR2bh2yZWyFxS/yXT0xy6PAk11+kuGi7ZPf2Ze5+NmV+cZIbdkmmJyy1sE8kI5wSpEYinCM1McvdGvOLAddfXucFl3a4/7Eam6YFjVqL6y+1/PRbFnnPJy3Pnmqx0rWsdBQLy5oNU02mJ+pMT0wy0UiYaybsvD4mClICnaKUQWbH0eEvqiRRnFvQJKkiSRVxohgm2WMsGSaSYSwZxJJhLHyAGguGsfOgTizDYfYY20zXwyDx4O4n0B0KVhPJcgJxEsOgxwsuWuVX37XIa6491eh3xAcYfsgG9e2fGMz/pqlt+hd//wH+rl/5CK1mXR09sfjW/YfO/MlDTx+v0Whx+4OKIBD8hx9f5crtPYSg0L9SOKTyckFJTaAcgVIE2qG1JAyEPwmBYBgq4sQDPUkccWq8K5JW7gZS4zDGYixeb1sKcAsBSoKWEAQQaUEtEjQiSbOhmGxIpicFG2dSdm7u0Wqu8IkHYu59eoaV8xNcs0Oxc0vAJRcMMGKFLzzcoBlo5qYVrcaApw/Bc4c1V1/g6A0V116ScM1ux9kzhoXlkP6gwetu6vCVp/ocOKVo1iVROMHVF1l++QcXuefZPp+5ZwOLbcfOjYblVc3UhGKyGdBqBDTrjlpkiUJLpA06O3Yya610Dp+wsoLUSlIjSFNBkkriVJAkkmHinZc4EcSJI45hmBjigjS82zRI8sAVz+CJoB8LuqlgNRasphAPY2TS5QW7Vvj3P7HIt74ooTdokiT7a6qu/syY8Ies3PSx1ZP/zUxu/8m/3wCfDazstZe/++Dhs7/z2HOnatSbYA0IxV/fr4iHmrfe1ubtr+oy2TLInvUnR1m0DNDKEgQWrTWBVoSBZ5s4kAxDQZwIf3ISRZJCnEjvIKSl7ZcaizHeXTAuc0oynS+EyCSQQGtBqAVRKKlFkmZdMNFwTLUsm2aGzE13SN0KH/2K5I8/P8vGWo1rdgh2bAm4cKtl55ZlPvE1x9JSjcs3K6YnoNVImD8qObccEe6CYSKYm5RMTcGBI47ltuXs+RqXXFjjlTd0+Ox9NWZbEIUhSk5x9W7Bj73hHIE8x1/fP81zp2psaidsnEqZbCpadUWjLqlHmiiEKACtvcMkhV8JC5DjL2xjwRhBasiADolxxCkkifGkkFji7HGYWJIEhokvXRgmnrkHaQnulUTQSRxmMGSy1uYdr1vkba/s8pobLJ1ekzgJMVZhl4/UiBp/YFVLO2p/geeZv58A//nf/hSJtT/47FOHf+Pg/pMTU42AoRPERpJIhVWaLzwc8LVnIs4sL/NT39lneiJhEDdodw1aGbQ2BElAqA3DQDNMlAd4xtyecYRnooyV0hQSA8Z4J8FaH3BZ6/IezgzcHuDelREE2gOkFkGjZmnVU6ZaKXNTfTZMr/DA3pg/u6POviNTXDgZsHszbN8csn0TXLajTS9t89CeCeoqYG5aMdWCqdaQ6cmUMNQI4S+u/jBkqZ2w0nOsdlPOLYfs2NziRZef446He+w7NUEjSghUiBCT7N6m+P5Xn+fGy87xZ3e0eOiZKRa7mo0TKVONlEZNUq8pokAQBZIg8LGKUmT2oUe5w/ewWksB9NTYbHXzpJCkltR4cKcJxKkr74l3ZQapYJCIQm+3Uxj0U1zaZ7bR5l3ftcT/871dmrWAdseDOzUaYzSpkaTd4xNBI/gvG7dcFnbP/PEfN7f88N8/gJ9fXEUr+SO//F8/8e6Dh0/NTtUE1lkSKxhIQd9K+jIiaWlWhgG/8ZGQPYdW+PaXdXj5dR02bYjpdGr0hxFhHBIHAWGgiRJv78WJrxVJEkmc+mU3STNP25BZf2TMLbGOEtw+SZkxN2jlEyZh4KiFlnotpVVLmZ4YsmVDm/nVHu/7dMAXHplhabnJxXOCHRsF2zaGbN8o2LV1gA5X+PC9msMnmly6STLdkkw2DVIOObXgiLRECnBOECeanRvbPIyh3VMstx3zS3Uu3V7jO1+xyse+HHJ0PiLQCUIEWNckSSU37Fpm5/e0+cJjPT70hRkePdpk27RgQ9PQrBlqoSAKBGEgCbRAq8xilaKoyXD4i8w6vNNiPOALkBsv6fwqCLHxtS5xKhimMEwF/RQ6qaSbQD+xmN6Q7RvavPz6Fd708i6vv9EQiAYrKzWSNCBJNWmqSY3CZJZsvHpyttbc9etzF/6Aioff9Ydh9L+mpvx/CcCXllcJw+Afffpz97573zPPbpysebVrrK+AC40jMoKaFPSkpi8Vq3HAh++ucc9TDa6/vMv3vLrPt97cZsPkkN6gRj8OiQJ/sIaJJkk90NNUkRhJmkoSI0hTiTECY0Wpta0PYF0GbpEt3Up51yFQljCwRKGhHqW06kM2THXpJ32+/LTjI3dP8tAzU0yHAVdvc2yZkWyaDdk6J9m+Keaibcs8dbTPp78yx6TSzE0KJpqCiUbCas/w+a/VaIUOITyw+kPNG28d8rkHfU3MatdyblmzfWOLN7+4y0N7O+w5ENKMUpQUHuS2wSD2Wv/7X7nKpVvO8eF72nz1uSmOL9fZPCGYrDkaoaWmLWEAWglU5kJ5Joe8/MhmUs3acoVLM6B7goDECBKTZUWNoJ/6e8fAMLakcUyz3uXNr1nme17d5vrLDJumNYNBi3Y3LMDtAa5KgGfnp3340MZeev+7d1z8ctvvtd9fb0x8cwN8eXmFldUuAn7gi3fe958/87kvzQ66K0zVfbIjtV46BAZCAzXjqBlB3wi6MmAQaE62Q04/2OTBp3t87OoOb31Vj9feusLMZEgchwyTkDjJDlziXYHUKL/0GTlyAK3LmNuWNWVCuCyozLKh2hIGhihMqEcxrXofQ58vPSb587umeObIJCKJuHDasWXKsWFKMTcTsnmDZOtcwo7NbU4sdPjdzzRJh3W2bxdMtTQTTZhoJIggpt1vMtVyCOE9/iSVzESK1KZ0kpBOz7DcVpxaqHPlRS1+/NtX+PW/iDi20ESrJLswNGlaYxBLNs9G3HBxm2su6vLssVN85O46dzw6xenVOs1I0QqhGThC7QgUaOnT+UKMVtdZwFl/0RkrMA5S44koMYLY+CRR3wj6BvqpI00TbBIzW+vzulet8PZXtXnp1SlTdU2SNlhpR9n5CYgTnRGQIk2lB7n1ZJQayWDY4/zy3RuHqfrPF11yc7qydPpPddik2fy7Y/O/U4D3+31mpppvuv9rj7z3c7d/aaLfW6VVV0UQkxoIpCNVniHiAuyOuhL0jKCnIgYm4Nywzl8/1OTeZ3u88M4u/9d3dbhiR4eNU4qJpiaOQ+I0IE1LkJsc4FZincQ5RhJHnrktSjmfCdUpUZgSqJh2P2GhnfDbn6hx5Nw0j+2ZwtmQ2bpg4wbHhknB7IRidipg06xk82zKtrkes1PLfOFxy6PPTXHNdsF0S9JqSCYalmY9RgRDokijlf/7zoExkv5Q0x8kpFbQ6Vs6XcdSO+Ds4gS3XNblRVeu8OE7a9SXFFomHpBOk5qQOPE9nhumaty4u8uNF3d5+OWnObYg+bM7pji30uDkYkSoJM1AEOYyTPrAsyDyXKrgmTx1gsRCagVDA4MUYuvApJAmSDVk63Sfa3b683HTFYaJuiZNm6x2PfmkqfbANoo4Y24fF8mChFIjSdLMmhx2efLRu2eN1e/ddfH1y4NB/9N/l5j8OwP4saMH2bJls/roR//y4mee3T8x7Ldp1jVx6iN6nYqRJTAxDm0EqXGEFpLUM3pDCQZG0tMe6ItxnTseneCB5wY0oyE/9PpVLphN2bm1zy1XddDCt4ghcn2ncHkDsqswNw4hHUp4z9yRgkx59ojkkb2azz7U4tnjLeK0QUsr5uqOmaZjuuG8Dz6hmZnUzE4JNs+kbJ3rs2VumXufGfL7n93IlinN3ARMNBUTTUGrkVKPhjywXzGINUHTg8o5QZxKalpx3aV9Hnx6yhc+9Q0r7YDzKxHz56f58TfMc/L8Ig8+MUcgAZFgIQNQwDCWdPua6VaNqYkmL7q0x8uv6fE9ty2w94Tlcw/VeGhvnf2Hm6RCMxwqeolCCYkQYizwzHICzpJah7OWQBgmw5gaCS+6vsuuLQO2b0h452uH1ENJqx4wjBusdsJCY5eAVqPMbfLYSGalEWW8FCeCpXaH9gMPTBw5Nn/xt7/prWr//gPm0ksv+eYB+L59e4jqk+HTTz36w0qa3+h1l2k1QpLUV/4lwqIU3rqTglSBLiw8CIwgVY7QQGSgbhxNIxgYGAQBAxPQM3U6HcN//vA0Lk3YNDfgyh0DZidT3vrKPjs2xiSJyPS2hGrKP9OfUlqEFHz8njpPHWoitObY6Qan5hvU6orJSDDVdEzULBM1aNUFkw3FREsx3dLMTsGGqZRNswO2bWxj3Aof/8oE/W6TS7Y7JhqKVkPSqltatZQgiPnCgzWGPUmw0XeL5hKlWVe87oV97nvc0h1Kun1Du6dZ6WjOLja4YleLt760zWPPNji21EJJCySZXg5IjHeTBrGkO9CsdkNa9QbN+pArtg+4+bIBJ86tcvTMCjowPHlY87G7GwilPLjH5w86C1icc6SxYeemlLe/ss+GCcNlOx2bZsGkAcO4RZr6bqA00STGs3UO6tTIiiTJPPcKsNMc6EaQJIJh6gvels4s0ZyKf+Phhx/uXXbJRX+8d89z8eVXXPnNAfCjx44TnZm/dH7+9PuefPxRqaQgDGVmw1lfS5L6uurU5sAWmCwBk2aFQYH10iUykFpHwwjvz1rB0EiGVhLbgMTCQneCu5+yOAyfesiPbMDZ7J5n8TKLLKtIFEIilSJNNNJqAi1pRbBrztEMLI3I0oigEQmadUmrrphoaCZbkukJmJ1MmZsesnWug2GZ3/6rGvc/vZHdszDdyNi7IWnVUxr1mGajT73eIFISJTMNjpcDSRIw6Av6Q0NnqOgOLJ2+9S1zzZCT85O85MohP/22eX7zY5rjKxFCWJxLsMZlGlcyGPoy1lZf06yFNOo1GlGDWpTQqsfccElMGCTcdEnKO1/VQ6s0SwJZX29fFeWZpLNWIoQkChQQMhhqFpd0VreTxzwezCbN4x8f7JtUklpRAtyKEWCnWeCaZs5MkvnwxjgeeeRhGYXqfdjhV/qDwTN/F9j8nwb4Jz7xSZTU9QMHDr7l4KEDwhlvS2klAImQIFNfv22MQxk80JXvdTQZqI1xhYQxmQ5M8/es84kJC6nzP4utJHUSYzWJjTCZ7VW9FVlKAVoIn6lUUKs7atpRU4YogEhDLXTUI0E9lDTqkkZNe4A3BVMty8xEyuzUkI0zXbZuXOT3P2v50B2buGBKsaFlmWgqWg1FswGNuqFVTzizaDl0JqIW+vJbyCv9BINYs2uzZfOGAe1BSH/gMhaXrHQ0rXqNVmOKd77qHIfPnOUPPr0NLTUOi7GG1DrvKMWKfuyLono1SWOgqUcB9ciw2vExRhgYAm0IAoOWvlFCSp/OF9ndl65kJRPOr4SrNquytFlck8U3xvpYJw/qUyNJrQ/uc1AbIzzgTQbw7G4ydyZNsyST8fLUIYhCzYH9zwhnhm/ZfsGFh774+U/3X/uGN31jAT49FYadzvmfW11Z+DlsIrXOlj4hs1oSgRLWA1w5VOa36syjTi1okwU5xpd5+nR6aV2ZipXl3ZEscePAOpE95ieovPlMXtYBJC1aktWQQ6AEgXbeN9aCWiSphZJ6pKjXFK26pNVwTDYNU62UmYkhG6Z77Ni0yEP7h3z4nq1M1yI2tSwTDeHBXZc0a5ZmLaXVGPLQPnhyb4OL51yme8u0eX+ouOkyxyU7+jz8zBS9rL6629cZyAMatTr12hTveNkST+4/x4N7NoNTWGt8OWzqSBNX1JP0h5rGwFGvKWqhJQoDotAQaesTZtqXGCvlz4eUviwC4fJKoAzgeXDuS4ht7kjZ3H6V2MypykuNPQH5xxzUxuagznITNl+1M4Cb8m6twyFYWR3I4yfP/oKT9bBWb/wKEH/DAB4Pe3I4HPzS5z/z4X/R75wNWw1deKvGCowQSOkwQqCUT5kr5QFujMMo0DZPNogM1KIAuC3AnVtZDptl4vJkhXOuCJQYs8HyVHWe0FHZyhIoCIqiLZ/9i0JFLVLUI0GjLmjVHRMNw2QzZao1ZHayz9a5ZR7c1+eX/mQTx09OcdEGy1QDJuqKZl3RrEGzZqjXEsJgwOrAoaQiUP5Cz285MJI0ZKKe0EstvaHfn6c3MHR6ktW6otGJqEUtLtyc8Ms/vMovfkDytT2bcCissxhjSU1KnFriRDGIFf1IUh8qaqEkCh1RqIi0JQi836+V8wBXWSFbJlOEcGsadG0Wx/iJYTnQ8/xCmWfwjE6RezAFmEWx8uYgL1fsPLnkV2ib3Z2DA4dOhKmr/asf+sHvCzrd3r9tNRt/63T+3xrg/V6bNE1+Zf9z9/2z3urR2lRLZlagqKSBQRmBybS3Mh7E1jgP5vwxu/uCIFeAumBpC846THHAyVimkNsV/slT8BTltirrBFLK22V5LXmgJVHoBwDVIj+SoR45mjVLq2GYaCRMtmJmJvpsnVvhwb09fvGPN7Dv+Aw7Z7zD0qpLmg3p2bvuaNQMjVpCYmI+eGcLqRSBdChR2oTW5Xo04Ptfs8wXH43pxBG9DODdvqLTVaxGmloYEQUTXHZByn/8x4v8uz8WfPWZTVgnMdan1ZPUF5oNY8uw5stdo0hQCwRR6DOboXZFxlYri1TeG5fC+UaJHOBlyjMDeea02BLstgA4xdQBY0SxwubvpznoTV7/Uj6m+fk3NsMBBQ6SBJ7de7h2+xfv+eff/m2vFiur7Z+fmvzbJYH+1gBfmD+Mc/ZFxw49XhfE1CKFSitXp/VZNKMqQFeiALatPhaMnb12HtCeufNH4esoquBe53PlAM9rMFRRTy6yOvK87kQSBNLXb4SCWuRnnjQiQ7PuwT3RjJma6DM3tcpDe3v80vtnePbYBrZPC2abFWlS0zRrvn6lXkupRzFBMOTU4jSBEihpR0qCrfVeeJoqtkz75Ek7qWVdMb7HsTOQ1HuKWhgQBjUCPcnl21P+4z9a4F//ETz43EaMlR7gxpGkJmNyyzCy1GLJIFSFBAsCCDRZq5/0uQCZlSQLENljFeM5zl0uW2xefpsTjwdzHlcUq22xCo8Du6wJMlkNjM0JrojDvPQaxEPue+CR+iUX73qRlH/7HSf+VgA/9NxnqYe9xqMPfSk0yTJRCMpYlCyDCWXAyFGg51VsRpVMnYO8AHJVhuTPC1C7rwtuKFPSeZWgb3MTWdq6rCf38gRqAUShpV5z1COvnxv1hIlGzFSzz4bpVR49MODf/eE0Tx+bY+uUYq5pmawLWjVJo6Zo1AX1mr84fKo/5sE9gu4gpKbILjKvwfMmBGMFSapp1hS3XNXhoWcn6CVepvgGXkUnUkShIgzCTD9PccUFll/90XP87O/BV/dsJLGSxNqsWbrswRyGkii0nr2z2pQgu7j9nUymlDJOZlne9UBOJc7Jz0EV6NaxjqT0haM5eVVXbVs8p3gvrVjHxgrmF1b5wIc+HX7Hd7yh8YG/+FzvB7/nW//XA7y7cpjG5I6pw89+5Hdruv2yJIxJjSZJPZBU6i0xpQQmFSibgTtbwqzygaPNX2vP6i5jcZezdgXQeRVgobXxT6qyBOELioTMwJ0VGakC4KCyisFAQxjgO4HCrMAqMtQzedGqD5ls9ZlutXni4JB/94fTPHl0I5unNHMNy2QdmjVBs65o1BWNgr0NtSil1Rhw75MhK6s1pqfLNHkOFlu4DIqNs4pXvaDLvY9Y30UT2wrIJbVAUgs0gQ7Ruo6UlisucLz7R8/xs7/n+Oq+jSRWk2QVgL7s1TN5lMiiujDUEq2zIiwpUDo/NhSfL78Ic6ki8qo0yoRQTi45o+fkY0cAT7EaF7FTFdhj5FbKlWoiEOIkZX6p/7Jn9hz5o5/6sbf/xA17jq9ce8X/2K5w/8MAF+Ygw5VjPyuSZ787FKdo1JrEiUFJb+YraVEVBtc287xVvjSDtgKj8wNRLmlFUGMr4H4+5s6QnmfkCu0t8wq6UnfnFYNa4esztCMIfGNxLbTUQkO9ltKoJTRrQ1qNATOTqzy2f8jP/d4Gnji8iY1TARsbhsmGy8CdsXdNUo88+9eilEYUk9ohnThCKEmQM3ihwTPNmtVkJElAMxz4coG4xnQO8oGhF3oGj0JJoDWBzjegdVx9oePXf2Kef/k7lq/u3URiNUMjiI3NWFxQSyxR4AgD37uqs7hDK18irKTMjk/WlZ8/VgqziguzGus4xmIhV5wzW7z2UtOa0dW5NA/WYfAMH0mlgnHvkSWS4Mh3X/Tlhw8N4+Rf/y9l8PbKcVx4wc7+2f94jUwPU4s0FpMdkKwTR8qCOX1w6UFWOCWqEjwasqg8X7ZLlsjBPl5PUlrdrmTtalBZ6ePUMqsYlL4JIFAe2KF2RfVgLTCZbk6o14ZMT/SYbHZ4cE/Kz//+Bh4/vIm5Sc1c3TBZc7QycNdr3k7MwV2PDLUwZaIZs+eo457HmoRSEiibBXHlop8v34lRpFbzihsSLr6oy6HjdeYavlNmEPseyN4gY2Gt0Drwq6P03vVVO+FXf+w8//r3LF95do5BUmdoJHHqaGQ13FGAB7nOVy9b9LZKZYoVTklRAbiogLyyTK4BuSsBPgL2nJwqdfgFm1ccsoomT21uGbqiTilOBAbNk/tP87HbH7zmg7/xrp0vOnTy2CW7t//dAzwZHEWHExcuz9/9W0tL8ZsGPYOUAYE2xTfO+yiVlKTSa22Vl64Wultky5fA6lK3jYO6GkyuYRDPLRmDj4FbOKTKbcFyQFCQMXeofYdQFFiiMKUWptSimEZtyMxkj+VOj/uegV/98808dXADGzJwT9UdrbqgWROFV+6dF+vZO/QAr0dDYmMY9GvUlL/IpBAjlXx5IsUHmtpreT1kmLWAlQC3hKEhDDRBINFKoWRQABwB1+4S/OpPLPOf/yLlq3tnOb06waApmTKOVuqoZRMHosBl3n/upLiCvXOpkgO8+LzZhxbFMS+Pv8tOSrmyukKy2CrwC9niGLF7K7mOwlWxpS8eZ9WMCIEZxHRXem/6y89+zbziJS/4588cPHP06ou3/N0CvN8+gtKNm4ftp94y7DyHEDU/YkGZsoEg03G+UVgWAWXpl4pK5J0/zw+MT+CMaL01rD2qCvOT4Mc9VBuVM3AXw4Fc1oVvszETpgB3FGbgnumysNzn3R9s8OmvzXG+O83cpGSuloG75nV3Iwss65GkEbmMwb32rkUxEHPXEyHLSchsxEg9NmJ0hTLGNz9MRJpXXt/jwX0xnSRiMrEMYz+sJxz6WvVQe4Br5VAyQEifoMHB5RdIfvP/avO5B/v8yvs3cfL8NP0pzVQoaKWWRgpR4kcvh8oPNAryQFOKIgjOH6uBevXCFKI41SNSJe8UclUWL77nGMgrwWg111HWo5Ol833G01gItOKBxw6xffvmt0xMND+42ukf/TtlcJN0kLp5SWfhjn+adB4mCsFYgzCu1MXCIYVESlWk5VOZZb3GAF5G3qKStKlIEkRmSY0D3JWMkj1KYcvxEiJLXmTSREsPbK08uANtCANDGKTUwoQoTGjV+2jd494nDX/0+Qk+e/9GYjvBxgnBhpqXJd4CzH1yld1FxtxV9k7QesgDz03RizVbGi7LGI4zeB53SJJUUQsUL7qiT2o9wPuJYJC7IbEfuRbo3OJUGRBdMRjJIdgwJfju27q0otO8//N97ntulrNJnV5NMpE6mtp5kOssDlEui0tcBvKMGITI4phKu5soY5zKmRiRLAXAqwSVA7qyIhtbsrmpgD21eQKMIuuZGLJtYCAVms/e9xwvuvHSf/pDb7718de3ewem/wYj4f67AHfD53C9PwU9szUwz748VKcgmECkpkjviow500yHGymztLwoEziuTAC4LBtWShEPeorHqiQZza+J7GKqyhIhXOHn5rJEZZOvcuYOlK/FiIKEMEyoBTGNxoAw7PHnd2h+7U83cmhhhiCqsbklmIkME5GjGUEz67CvRz7bWcsSQr5+xWQrgZcn59uGbhwSKkUoXRFg5l/DUZYXmKzSLk4D6sGAzVN9Vnot+onIxjL4WCEITGbzqczuVB7gI4Grr3x800u73HTlAr/6ZwM+9IU5ltImvSigGUgmtK/BiTSEiqIZQudJn2zlk4VUKRNAmY2fC8MC3QWTjzF6VWIWsiWXKK40GEzFQy8ynhaSvOnCCoYWBkKyeGqR2+96+OXt1fNbzy6sHnj0mUPcePXu/0mAO4NovPlCN3jw9xk8SKAdzqXZl1ZFgCmMQgpHKh3SOqSxKCWx1pbMnQHd5exdCSCrz/N6iPGbqDC4kHlgSzFmQhUMbivMbTKQp4TaS5IoHBIFfY7Op/zB55p88iuzHJ6fZqIRMFOD6cjQilyWes/BLTNwyyIpVMu0dxT6C2eiOeQTD2gOHKtTy8bLFe1ilCh3lRXMGEmSai7fCd92U4c/un2WbkMzkY1oiOIsblAWraV3PxQVkAeVk+VXhR0bJD//fT2u2XWS3/vsDIfPTrKU1ukFmqYSNDKgh9L5CydzmVSFJPJgXYhsU5hMrvivUGncHgO5G5OZdp3HMkstisAzZ3A/jcuDPAd3z/hHJHzh/qd49Uuu+v0f/e5bXj9/fuW/K1W+LsCtHSBExHDlnu1J+5ndac+/VsoU168HugeWMX7MmrESW4BbjoDbA5w1HTf+oIwCO29YKMcoU3Fsqs5NCWzvmuTsbQh06jt3dEoUDQn1kI6Jed9HQ97/uc2cWpzCqjozk4qZ0DEZWhoZczeK9L3M6lQyaZJ55wW4Q5+9HCYxB05GdOOI6ShzcfKkU+5KVFaooiYl0Uw0Nbu2x6hoQCdu0Q8F9cQxzAGuTZaoUd7HlqIkmMrx8sGrYm6yx4+/qcdbXnGW93+uzR98fJbz/SZ9XaOmFQ0tqCtHlDrP5tJLFS3L8oZ8VVzD5JVzkV+wxTmrgHst0MvCOGOrj4LUlRIlySpGhxYG2aO1FpTk/PKQLz90ePfE1PT2737djUf7g5h6LfxbMnhyHNTUnNbio0n/rkDIAIdDSoOi4j1bmTG4RVqJcr60crQSTRaDNb3etoUsqYJ7bckPFSnkRixJIaq6O6uSUyZjcD92IgwSamFMGMSsDmIeeEry53dM8PGvzDIwLcIwZDYUTIWWZuhoRI5GWIK7FkmiSBJl0sQnhjJnIgN4GPjM55EzjvsebRAnAVHTrQkwC+IoNLgvRY0TRRBoXnVThw9/qcu+k036NT/vZRg4whSCxBLEflX0E3ZFFvNUgVXx2K2kEWk2TfX5l+/occWOIR+6o8UjeyZZ6DcZqJAg0NS0oC4hkpmNmtur0mVDT6t6fLQoqwD7mMNVZDuzN6sa3FKyeC5bTQHwrBTaefYeZOXRzlpwxv+CQPPxLzwYvOP113/09PziC84vdxb+1gyO3C6T3mM3JyufmJRiADLwQyqzAMcKh7DOg1p6tlbZjEEryxLL/LEAcd4MXAF3dSbhyM3hA1j8oyhSyrYo9/QTsBxaGQ9wZQo5onXCajfh/mcEf3L7BHc8NsnSagtZr9GqK6YCx0RoaQSORuioh2Ss7Zm7HklqoaIWCmohWYWezcBtiQKvv5Uesv8knFqt+cRKpm9HEycFgWd9kFlJqZXEsWbThOCSC/o8fTyllwR+TEMCYUw23ctkEiVP1IAc68wpAvjMhkyMrw9/+6v6vPaFy3z58Q4f+MIEj+yZYLHTYFWGdENNqAShFEQS38MpHVq4jMmzKQQiK/sdBzhrTxlVBody5SbT4G4twJMM2In1z22R9TOVuyUeJLzvQ3dOmu99/c0vf+FVt/N1hgd9XYAnw0ORteZ3+p3jzUgppExxCISTSCGxziKFwQiFlRKZgdsP1JTFkukBnQHc+tjfFqCuXO1rmLvC4CIHtiuDSmmzgfjWj1WWhjB3M2TCQifl3kc1n7+/xafvm+Rcu4mo1QhaARMaJgPfyVMPyGQH1EOR3WVWcprp7lAQ5eydA1ynhGFKLYxxLuGuxyKOnamzYUYQSFvapmNlvDiK8lOTSYr+MGDnJsGrru/xya/FdJOAfiKoBY4w9Sw+TFxllVKFX42QIzLF32XRqOCzppp6NOTtt/X5lpsW+dRXOnzu/gb3PtXi3GqDvgjphxodKLQQBFIQSEkgXCa1HBKRSS43+p3GgV45nzlrF/KEMtDMgZ03sSQuZ+y8ssuCS0fADQ4rNU/tP9MULvmd/YePXAH0/1YAv/vBh9FihV2TJ9i1zWFjMk0tccJ3rlupkNYWBzSXI6oA9FiHO6JyEjLx4cQIwItXhT1VAbawWfOwRWQA19oQ6oRaLWEwNOw7BUdPKz5y5yS3PzLBueUmBDX0REBDSVqBo6Ut9cBRD6AWeHDXAj+T0JeZyspdZD93GchtAfIw8O1ph05bnj4SQRBky7yrpOhH04I5sxVlpkaQGj/O+epdQ67c3mXvqQb9mqCRCqLEMVRk1p7N2Dt3U3ILstQqhc+eNydYlU0fCBjEAfX6kB983ZA33rLCFx/t8pdfanD0dI29pxrEKxFppBlojVTSp/PJ/h5Z6XEuD8kDaDfK5hXJMgpuUbC3wYO5tBGzqWPOjgLapZX3MuEegxoukfYfn9q9853fu7Di/mhuav3l5HkBboYHRa/f/ae//Qe/ueETCw2+7w19bro4QQcGqcElkiSWWKewVmVfIgNzAWpZWFgloEXWEFw6JvmVXjJCaT/6g5fdpQe4FJ6xo8hPUk2N4ewi3Hm35tDJOvc8VOfUcp1Dp5sQRaiGpqYVTe1oautdhMAPzq8FflybB3F+l9ldZQAn09wZuANDFHj29hdWzJEF2HO0QSBH7cFColDWgxdBV2Gf+p7GNA24cmefSzb2eOZwSi8NaCWCoYYwmwmoKgCXUiCkHGFyqIDGVmRQ1jfpeycDhkHIRD3m+18z5KXXtDm13Oauh0MOn4j44mMNTi/WMP0AKzVJqECqLFj21krhrFQf12K8lGTjSSFyQGeXQcHYpnwkK0dMHCQWEVikMrzwqpjveX2HbufxqXbnTT+t1fD9rC8Cnh/gv/Q7XyNN0+/+/J2D5t4jU9z9cIOrLop5+U1DrtiVsG3acPGulNClmESOLIklsFXJ2rYKcAqgr3sTpTuTD6XP70oZgsiQGMfhE4KnDyvufKjBM0dCnjtSpz2MGMYRBCFqIiBSgoaChrbUKz5wpPM6jbxs1teFR5ksCUNFGMrsAnCl9g6MzywGXufXwgRnY+aXJEMX+em30qErNtt4XUd+Xo0r+x1N5ocLNHMzMVIN6CYBPS2805GUBWNa2ZEMpBQVeOXxDaIYn2HysoCshzIwqhg/0RuGbJ6O2bEp4YaLhvTjPj90ZJVnjobc+WCNp4/UOHw8Ikk1LlIYqUBITPHlJFUxufZcMpaSdpVHW4Ibm3e2ZExtIHVoLLsvjNk6Y7jiooRX3Djk6otiLt5mOXB8H7XBhxHi+YXIuj9x/Q/x5P6B+tFfPiWePTrBMJU8cVDz1KGILz7YYDIw7Lgg4erLE15z05BXXhcDvrG13nAZQ0uwApN6Rs+lib+q8+ejqTFvB3qmDrSDTI4ksaM38Mvg0ZOSv7gjopconniuxsETEee7IUMTgg5BBagJRSgFdQUN5agp/DgzlRUeKc/aYSB80qMK7kASZrIkCiEKyVwTnzIPtCUM0iwjmlCvxZxbNtz51RarnYjpSYHONsrKi77WC8aKctNCi0uGQ8WGWcVrbxnwxUf6HF9t0g+klykagtQRJLlnnXns0ni7kOqsE1n8Det05W94oIdGYbQiDRSJ0SRJ4K3UIKEZJrz06pQXXTHkzS8fsP+E5Mk9Af1Y8aE7Gxw5G4CQ9PoaE6uibcppymxQ9bwWAM+FeZ6i9gdApA5hLS57XW8YgsAisLzy+iGvuWnIVZcn7NyeMhk4NkxYpJPEScDFW6GTHBAfe/gl6t+85/Ppr/zTN/zNAJ6kgit21d63c+OJax9zCWgNSmCdYaGrWLCOI0sRX33a8tE7DXPTBucs11+a8PZXD4ra3rlJy3VXJzRrWeCQsbdY70rP9+SRjtWe4MmnAhbbknoNHtoT8Jmv1BgkikGiOHM2xApN4gKsCEBrRKTRUhIqQU06ahmwI+WIlPM14DrzfHXJ3GHel1mAW2U9mqJg7zCwhGFeoGUK9g7DBKVi7n5c8cmvtVCh9nbbiP5+fgYvOmFM7ngoBoOAN97a59MPtPnQXZN00xrNTIcHuQ5P8oyjK7qFhJAFwPyfkhWtXwG4zbrgtWfyQCtSrdGp8UBXBqX8IP3pWsqtl6XcclmCE0PeeluPQeILof76KxEP7wmpR4LzbcWTz4S0ezJTSeOCJQN0hcWdg2bNct11CRumjK82NY63v7rPdZcmOAtz04aZKYvO6vutlaRDncV6ClzKEwfPX3u+O/W+QLt1N/9ZA/DDJ7okujHx8dv/4rJnjzqVOgcynzsmQfoPaJ1jaB3zK475ZR/d7j/m+MzdE77KzDgmpw03X5vQqvsP/zwyKcN3dlqkYKWreOTpkPaqRGrF0EqGTntmEho/F1iD1EgpCaTwYJaOSFpC6YEQKghVOaPPg7wck+z3+JFF43EV3J7hs7LaIGdwU7mnRDrBuZhT50PiYY1oUhJmaW8lKHzkQqHmHT1QiU0omNVYRZwETLcUF2yICcWAfhrRTwV17Ydg5jUkeUJLyWp5qyz+lv8buZNlK0PwbdZ8Uhn/kJosb6Cyzb1SktSgkmyEtTJImbJ9g81WDMsVOwbErofUjtVVwSNPa1Z6ElUolrJRYi2V+ZLaZg1edG3M5LTFpf4nDeWPXeEEGU2aSTkYjeWEsOze3FEbNs1fdvMtPzTxiz+50hZi6usDfNif5+xZ9esf/Ouztz13RPhlP7/yRCV0cK4Ae35Vps6xmi9H0tFegTN3V8MNSj02AuwcANnJEQKbb7lAVnMqJAiVBVUSJXyK2YM6SztLso1bc9+48qizTnpFtvUeBbh9W5cfrh+FglBTlJh6Bs9YXFvCLDsaBAlRlHDivOXPvtgEHRJIUQaYhTxZp7a64hHnQ0I92BTGeJC/87V9PnVvn+fmW3RNQCP1m9L6KkBXduKoPCdQBnvFMS2KnmSlwCu/26IWRmtFYHz+wNeLqyxx5pNmvm48ey7yeMighUU4y4aG5VtfYv3wpUxmjmCl8DDHcxwCjMSmqgCvSQQpY4YEZVab/H3AOc2myQEzav9tS0vHfx2XrNkuYg3AuwsfJtEi7K0cBpOACgDpPaGqwVkF+sjz0fjZ5KUSa4pL8ua/tQCnWG4lQvpZehJf2hkICKUjFF4KaIn3ahVZTUX2PC8k0lTmoOSsXXbVlwCXhWyJQle0tIWhrQzOSQky9g51gpQxx84KFto1hNZEkhF5IitfKf/G+RGqVlBW9bEfWhkwOzFk5+Y+e88O6RvNwEBkBIFxBGmmw9M8nW7LXkqhKleTKOSud7hcUfBWSiOLNhajJEr7JmYtVVasZpDKZiuFv+fWrP+bLpuQZZFxPinLlWn9CtDXc1hKOzFTB7hRE6IC7NEMtyisZK0Sjs/v42Of/lSolBmH81qAn1l4ikDDcGiAFgg1GilX5dWa9ceNAfn5JMl4QYMoVjXPQiJb4rPNoQRo4bKkgytqPPLnxXtjIM9HRGjlN5fSupyH4sEt/WOYAz0PPjNw590/2hYSJdBen4ZhQkrC5x6oM79QJ5hUhNUajqqDMnaCC2at6ONq0mcw9BNs3/DiLg88NaCd1uhpTT21xFk6vVoQlRecCWEpO4fyQLMsZvPWYTZTxVHU6msrSJVAG1nsP6qVJc2AXibTbJFgkznIZel05a5XmdLP2duVgmW98KvCysXxWXNZjCMou5A0xPESJ08+htZr8TYC8Pd84E7ODBsv+dRnbr9pz+nT/kxn/mfBs89TE/w/cquedF/TXT4q4Tfv1hWAq8x2y5/7x7w0lgzkFKMQqsAu5qAoRnZpGwF4HnDmulvnssRlenu0ljwMEsIg5uyq5bGDddAhOpMnulKglH8vMYZw7yKVVXdlXYYsPPEkCbj+4iGzU31Wlxv0UkVDQZD676KMnxKmkirA8SAv/pAs6+vzRJt1ZQmF8pWegRUYJTHKYpQgVTKzIsvitbwcIge2Uq5g8WKwaSUhVyZ/xh/HyU+siyFHlaczgyK/DPILSFiII7bNOn7me2s37bzoO1/ya//izfdPbX3z+gBPkoRhv/ut8+fr1632AoJI+4NHXjKZG1CjYH2eT/c8XkkJcFl5rRgFhhSjr3NgS0nhMefv6aJFrQS2kl6WqKJ7pQR23nzr2TvT3JpCb+eWoGfsEtxBUZ2YIEj47FciHnimhYw0oRR+/nZRQVitV6/WUZeHqBiNVrC4DzSNVfQHAbdc1efbXtrhDz7bIjYRXSOpGccwrVzUoiJTpMxYvPqnno/JwWpZ1Ovn4DZKopT1jC5lNlqiBLeXJ9kueFnJRFn8NvqcEamS42V9Rnx+rq4CKuf1cpUwQoNLmW1F1w2GvW/FJfdX/8sC4HsPnmR2uvna3/vQl7/v3MI5pmu+qIqMWXNgj7QwrVcXvM6/K75A5T1JyWw+5Tua/i3LYcvRa1VG91uQULC5zjvolX8+wuJZN0ygRsHtxymMMXfWsxlm7W2BzhsO0so9ISbhL++awLgIVWQvqwFm2deYr38jGjxn8bwuOp/3Z/JgUyMIePsre3zwc0NWbELf1OgbQZBSsLiUDpmKoujM24XjtUeyYk2KCsgFRmcd8CoDuXYo6+WKUdavElJm4M7nTTqkydm8BHSxisivw+JjaM4TejDC6WPod2v+bX7xAFircfEirVr7+2a2vvGefuf4F+utHaMAb/dTZJBcfGapt/v8UodWPSymtVbBuZ6mXFNdll9wWc8g1f+mKk8q0kRUAC4qLFgwuCgTJ1KUjJ3PHPRtaqLQ4vlohJFhNxmwtRKlk1LYgb7j3jcmu4y5ywBTV9g7CmIeOyg5cLqGUwFKSkJpMxlVXXnKL7umVmNEg1db+EThqCRpwO6tCVde1OVr++skKqSfCmoSAuM3FVAib/QQyDTT4UgEltE/KSosLirSqDJLMuuR1cr6jiyb/X7lKuC2xUxDKeVIN5XICsxKcDvy+So5447gJP9kwq3JjYxq9up/Vx1O5H/unAC7gmJltxS9ixGDL65h8N7qMtIOCOyAidADx7kxvSzWK4QaA3nlxchFMPLv3ejFUlnKq3o8n5tXHQWRyxQlhO+ez8GedboUTC7LMW3l9t8Zc1eG//huewpgF9nKgrkNofaJHd8VlOBI+NhdDRYX64hIe9+9srKsqUEZW+aq2rvKqiPetFUkiWbDjORtr+rw2MEJhqZGT4XUjdfieTmrykZUl7GSzTzxvNwpWzPH9LhvAs4vsMqoNStR1qGzFUJZV0ksyZK5KxNqZe7DV5pRqvX7kAOfAvT5e1VUj2KmSrCj9UlUHnGQJBFLKw5bW8WasriwAPjjD3+KeiiZP72CUmpEIoyDcVSmsOaDrgG9WPt8xGEQ5QcvgF6x2kafl9OY5Bh7VyfIehaXKD0K8FBnA4CCfOvALMOpHUGRirfZczNy18p37jx3DD56R4uhDFFSZdnL0QtxPIM5vuyOlJOO6PBMixtFajSR0bztNQP+5PYeTx2uk6iAnpSExmbukUAaVzlmDiFFUfbgbzb7W6NdVFUmNxZ0YSF6cJusJEAZVwzrLBohZMncOavnDSjVxogqyNcAfA1OqhgaVQ85c4+6NOXvVUrx9LMH2H9H248yqQL8qb2HueayXY0P/vmv7JrvLrM4CJlrUsnIMfrLK4xe/RBVpqpeANWG1TIKHgX0SEA2EmxmczoqOrw6DllWGLuQKZU5hCpn8CzJMwLuPH0f5I3JNtsuPAd33tOZZvcEFcQcOKXpxCEonckTN1Yeu/biHXFRKnrYjXvhWTdOmfjRNAPBZdsGPHUgxtiIvg2pGV+zrTMNroTfttwnlnJ9mjUyVkDuEyqyWDWcBV0MNvXvKZtPJSPrIPJ9tnlDshoBdwn4EuC+MaU8v+sw+EgL3KjDUu29XVtZSqG/89VDKctEs0+9cYoNWzbs+sfv/DeNf/7Tb+8JfZkH+J5DZzlzrv2aB/Zv/9kvPX6EDQ2JEqN+a1Uvr8fK6wF9/MNXd/gqpEm2eo7/jRzUIwyeSxNZZfJsTFteI60qoC6eZ0keReaFe3B7AJdDgYKqPKmyt8r6OsOYpY7lv/5Vi8V+DREFXp5IN7KqlINzvr47UJSP2mxMRtVNyVL3aaqZaGje9Z0dvvzYBIvDkFhq+lISZj2U+ciHwi7MDTbhbcO8jNZhM3BbHHLMWREZg7tilmMOdiVFxuBeEplxgOfglg5J2XWVGwhiHVZnBAu54yLWBXj+72T1QhH45nbl7ck40dx4yTK3bWr8rB08dL8znU8VDP6Vh/dTr4ccOHyO6VAzXXNElZYrKdeXFeMfZn2Aj7HZCIOvx9xiRKLkP8+BnHfIFMCWAqnK8WOqAmotJTqTJLoAeK65bRFUBtoW4A50Xn8xyt6BSgjDmI/cFfDsoTrIACklkSw9+3FrM/+Cz1tNWGHzYqeKikxJrW85S9OAq3f3eNNL2/zJ7TWsjujLkEiKgoSUFCQiH4G8lslFlclH+mDLmhirQDm/KljnB6fmsx09q4tRFhdkNfpVNq8AOgd+ZeVnDOxrgFxh6zI4r46uyNg7tyhtWYqdJC1SMU9t8BTODkuJsn22RqMWcm4m4GTLT2sSotKDJ9xakI4BeJzB1wNy+fP8d4rSORFV7ZrZXrk0KVgbhBTFQPv1AS5LgBeJnhzgzs/JzqRIoEq3JKgMByo1t2fvQPupVcurlr++u8X51QhqmXsicnvw+SUKYswjqJTlrLHtcssw3xPHKJJUMz2h+Pbbenz6gQGL3YhYafpGZvakyNwbUdqtsuJEZMB2ruz6sQWblx3vOndWVPZcZq+z8deevT24jcx1eH6ucu1P+VqUr8XIhTcuUcqLAjcK5JIw3Zr/LtffxkjiRPttcPQsLTWLTTOAP7fnABvnZi780j0P/fTq4hlmWz4SznNHYkQDVa+4dVh7zXvlLI2qbi/94dHXRYJEgqQcBlll7nywZ3X2d7XDxQ93ZxTc+c4GOXOrCnOvYfB83EQ5ckIrn7k8clSw/1gNS4SQumjOrcYq1YlQI50uooRbztwlk4uKPBGFk1G0mxkNTnP5zpjdWwYs7q3jTOhZ3HiZosWYnMylSoUFfWOBLD6D10WiEnySNYt7YI/ENhnQpfT6vJqbyM9LMfFAikqwmZsVWW4ylxrF+c/BX53+5YqSg5LNK+UchRavrARAahSd08tc0Gj+9PYLX/HE2VMHj+o0NXR7g83OmtcuLy/SrEV+XmDVvfk6TJ0/GQ8615MjxQcekyNVoOejj0fG+RYsPgrs4lGRjQKu+uDVe7altaqCuwLybL/6ICsNzdlbZa+1TlAq4XNfa3HgfB3CUp4EFeuy+t2KeOXriPDRIaNlKait7m6Wl9HGmos2xLzhlh4PP9cAG5Aar8UDkw35NKNSqVglK6nuPPD0o9ZEGWzmz2X2XGariszvfjKwtK4AvZEV+WhdETMJm59bVznPbuRiqzpno1gpL4SC2UukVf7N6KHNp6X1Bitss/a11gw3O2eOaj9s3s+Qk8IHY8qOdbqPBUsjwdM64F7zXvFlRoOvgskrWjsv+5QVsI/v1lDocJW7KJVh7jmoJah8r3ZV7k8zAmxdDggqRrxpm4E89fJEJdQbMV/bp/jU3U36gxAaGi0FgRiVJuMB5vhxWANwxvT3mGVY9cWTVDPZ0rz5FQNuf6DHQ/tCXDOgbyICQXGhqaoEqACGMZBXi5t88JldYMqzuZFej+cAN7IMOP1rV5yf4vlY7JRLzVymFaxO9TPmTO2KlW4UQ2uTjYVtOHIcswkONlcLXr7oNE1IkgTn/OQkpfwH/O/VAa5hdTH+89E66LWedxlMVoGeL+85sJXIJ9aWEiW/e4BnyR1ZCYgUI8MltS5HKOtsEyatRoEeFGzt7ypzTsIwJokNt3+1wXPHGxAECKkIBcXmUtXgUlSZfOx4FZCqsnbW3eIqmUybN3BnWjy3C+NYc8WOlNe9uMuTR+sM0xAjA/pWERrGPouogGMtyN3I5wBUfrFZrBLZVARwUuCUL/3PpUsR+0iQzgd6+YZWwlbPY2XwqFgPA6MStfisYgxHQNUuHEVauRo65/fmTFJLkiYkSYr+yMc+i9aKldU2YaiRQuCE+/oAX0eejJzENQwu1v1C+RIuxwBeMHfWUFtovBFpUrEKc8YuAF4BtxqdD+4Z2xVMrYvH8nmQBZdaJURhzDPHBF98oEGvH0IzQIq8cpCKPbhOFrMSa1RPSl6L4hEmRkYPr0n4VAqw4iSg1Yp53a1DPn3vgCcPR6BDhlYyMJmjYkGZXPdmn8GQuRfCDyQpwD56wWlFKV2kZ/N8Vck1d97UlQM998BtvnqNuV/CMsLW41MGqlh5PkmbYyj/sOstiGVThObIwcc5c+oA1hr0wsIiQgriOEGQgU6K8UNQWRrWvl4LcLHmwz5fYLkea5davCpRRJGel6LMZlZZ20+3ygHv2VoV88HHwJ3dg0r9s7cHU3/PunZSZ/js/XXue6YONQ3SNzQHeZq8CmrG7tUX652UCoMWtl3eVJ45Kvkcmhzow0HAy6/u8YaX9Hj2WI00DXBC0ReawFB8JmEq2nfk0lrL5NVxDkqVlqF1NnstkFZ4HV71+3M2dyLT3Tlrj8VQI+d8FPB/I3CPYK/C9GPMK/B/c9BvEw8HOBy6M/A/t1l2M7fj1mXvyh8Z1+CjV1v+pUqGX1eHjxyAKsBFyQ450FXJ7GWavnJXJbjzXR2Kuy43Qc0BHVRAnTsn3jHxj0olhEHCE0clH72rBYQgA4RQBEVyxxXFVaN+fh4kieJojQKMsiaFsaKragmt8a17fgqtKtL3zmne/so+d351wCOH/CSBxCp6RhR181KQpfDFCOtVlTf41QPFGNBBMcrmUkqky9m73J6xyuYFMWVWnzSukGwjya9xh2eMxcdl71pCdSPfJL/lJdStht+9w1rQWvl/arKvHGgxeuWsi/T1/mgeLJR3GGdtUXyQAuwjgZnInos11mC10GoE3CrfzSGvB8+q34oB+CW4R1i78pg31uZSRamUIEhJTMo9D9V5+mAdggCkDy5D4SqTYysMLsWoPBk5hqPQcpUnRelspUZkpLrQ+Gm9vpRWM4wDrto94OU3exbvG8/iQxEysKBNHtBldSqUehxRBUfplq2xLh1IVXnurA86nSiagqUrWVwUkoWCzaUQZEnLzCdfh+TEqO5es23KCMift6DW/x4LTgnS1F+Qzjn0hkmFFJJhYun3ZTaW93mhvRbnY2CvSpT811Q1NhX9nX+hAuSyIk8qyR05Buxy92JX1ICrom3NZk5KzuAVcFeG4hfuSdUOzOWJ8lWDB84IPnB7i2ESQCPI5AlFa1pewjtigRUX95hmGb+5UaBXZUp1Cq9162lxTTOS/MDrenz2vib7TvmLz1hFzyhfZWhEMU8Q4RAmG8thSvbOn41LFeUyueJ8gOmctwddFgc5KZCZbJHSg1iKDOz5RZ+D2eU1/qKix6syJSPHKiGItY/rAruC9/wncQKWAK0D/x3+63/9rU31WvD/nj518vK8I6aw44QogrsCdNm9tOsqgZ+o/LeFRy2Kndf8e+X4X591zF/LMhNZdUXUqM7ORyYEudbOA0rtRhyTfAJUFdyBcuggz1qWxVRlQ0OSPcYYGfMnn2nwwS9OQRSBqqGUpqEcdeWycRQUDc5BpTWuzKRWE1GScjIsIwFq/t1kJSOaX7RCkjX+lr2QSjqEs1ywOebUecmjT4ek2dQBmzUd5+UDIzFQBUh5S9iolBWVq04UbJ5T+3oXw7i0sYjyvcp9ZIRy/tyW3n9RMoAotw+vODfVrVCqXUl+q8J8trggTgWDGC66+LrNV1xz65f0wvypKZP0Xq+lQUeq2HTVVgcQVZavddm7wuIjWamqi1Bl7ookGUnwCPwJHSuVLX1mNyJPZBZUSllKElXR3qrYo8cVQA/UWklSfVQqIdAJ+09LPvzlBn7+imdvr71LcEpRkU2iLDkYDzRF9YUD1gOHrdaGlHMF8wGmJh9sahRGZVrcaN7xqh6fvKfBnpMByBgnJEMT0KMiEwQIk51AIypLvau2A2cneTT4VK4qUyp3kT/3Hri1ogg8/VCz0fzGes8t5bEZLeIblSnjeRhgjaQqd3ATDIYx5863X5+6E1PapDHOGaJQgpCVrZb9MpX/AleIxvIvjn+ANQ4K64F5FNTF8zF7aVyayGrFnqjsKVMBdh5c5iBXOYNXZInKnitlUTqTJzpFydRrb5ViVMpn7m+y50CpvYWQPqFSdNCsf9KKk1QJqscXVzfyvGxALueYiLGEj+98r07vtZlUueLiIW98SZdDH46IjQKhMUIzECJzVVzW+5pJlJy5R8Z7lOztfXmBct7CxLniM+bgVg5vJecp/kxuOCewmVSp2oU52KUAO+6mZMfLMPpelTjHn1cxWTB9vpmVgeHQ0R8k1PpDtBBeEoSBp89U+NpfY9zIhlDjydFRbbT2yhtN9IwGFTK7CIrIW44CZRTgbsw5yfsxXcHia4A98roMKHOtXWxxIi06myueD84PgoTDZxT/7RMTDKQHN0JXuubzOvmygm5UV4o1x2a92+g2iaUXbkdS9lUNns1NURJlFcZqUhMQmZSffEuXv7qnwaHTGmQCUpPYgL7wO04X9l0ebBYf0I18IFfIi0rHvxMoXNHhlc9U9A6K9Vo8K7TyzO48oG1ZLDcO9PUTPYwR4/ODO7/l+PRjqLNtCFO/lTl4c0JPtQwutUw0HHE2Pos0c1asGGHxkdsaBhdjDDbqnhTP5fMvWSOMnYNblAzu6x7IOr3JhlyWLF6C3ZbgzoBcgHrE787kifSvAx3Tji1/8OkJTp2LQHl5IqQsrcGKa1I8Hz9RxYq2dqzwukAvAJ83Hoxus+g1Z8neRTOEVJhUs21uyI++qcOvfiBkNfGjjp2QDK3ytqHJE20OjKC0DcdAPuKwALJM+DnnqwgdPhFonUA6h3KelWXG5DbPaAqBFQ6Zsfra8y1GQT0G+L8Rg0O5c5uFNLUkiaXb87t6BFGKbtYtydDSqFls31O8lWLNLxrP+pQsJda/+iqglmIdAORfmFEGr4K53PuSgrWLcRHZXSpXFP2rAthuBNC5HCkkijLZv00z5vZZSx0lfPyzEb//sQmGNvDyRHiXKRSsbSpeJy1f2mBjtsDzgJvs2JZWYVWfl7PVq9nNIoVv/VbgNZ3y42/tsv9YyPs/47U4KIyQDKzv3ZQmX2GrBVj5yXKVv1nalV6Du8wSzB6ty3ISFW2esXsV0PnxceRuiV89xrV5lRDXZsDXcerGQV4EnH46QGIs/aGlN3DUhw7drBniyPgliNE/WC2GWXNbc/WJkQ+1LqAr71cBUi3xLGqqR7R2Vaa4otNbylJ/y4osGQd3aRFWbcG08uizlkvL8FdfbrA8zMHtAR7IbDxcvoJIt1ZO5RbneiekcgirDsM4gYxU9dm8pUxmJ8+O1olLL1Ws1aRGMxka3vLqHp+8v8FiR3mpYhUJml4R3GeygbxCr+orj8mVCshlZhnispQ83oJ0siKtRAl6kWltaccsw+cBO0L4It6KvC2uvaomX+945scyc34Evty4P3R0Bw7d6RtWu5blNgyScns38CdtdAnLH0bBvG4mah1grydNyl6+CugrDK6yBEHR1S3cmKVWgroMNCvgVjaTIOUubLqqxzP2Dhopn727xkNP17G59pZZz6XI5cna4UTj37H6vce93XVZgup+76VEGW0OLtncp/D9Tna5L56aAG1TXnR1zLe9sMeffS4EFYOQOCGIraYvRDl/Zr2P4yrnWvpBTEXgmQefkBVheRRb5yWbzXR4XmKbn1uXa+9MmyPWSYQJQDgvY6rZTUaxlcvgAvjjR1J4e7YWKaZamommoNUA/cDTkuVlwdEThulJU6ncKyeVrrUBq8z9PED/OsxdTYyMMHlRsORG5UnO5qo6vqAqVWyRvVS55q7Kk3zjJmWyn2XSRHr3JAoSDh2XfOCzLc52Qr/ftfSD3pWg3LGhemGuJ01EqbnXY5s1mKJk71HveHSGycgGupU6cSXzR7/9yaam4Qe/rcv9T0ccmpcgEkBhkQyF32tHZilrQZnGr15wOSN7dvSgVVVvW3oZ4h/L4qsquG22Cufuiih0uMOJXCaRBb0VSTtWMjtiUEDx3+HGZ1lmAWUG8rkpxY1XwYYNFt3tCzpdx2o3pRYFRKEs9ZBcC9A1Wrvys+r7a4tsRt2GKoPLKvCLIvpqUys+wSEqzK3cGhYv5+nZEb1ddUy0SlHSoDNbMAwThsbyux+Z4L7H6r63TWryUc1Bob1Li7Jc7lnDSFSPhahCZxTrazOYZZVh1VHJvfCyRkVm877zDXYVxlhSqVGp5uU3xPzY29v80u+GDFPpM1BWkoqAPj4ZJ8j070iteP65yteq6HBzRfksGciLUtpCe3t3zEmHyAPO8XOdgz5rp7NifXyJvONHZIHxGuu5CB2KEgkh/KmrhTDdhImGoFmX6EYE/TDXT+UXFet8uHEQj2rw9Rh7fVDnX6LU4GufV/eeL4fMULK4qMiTLNO3BtzSFnJEZckcWXmtZEoQptz1SMAn72swjAOo60J7a+Hnj+uK7v56JbFFsFQBdNVdGqfvqhNdjA0eATc4xSh7u3LjKmkVyuX7k/oO/Hoj5S0v73PHfX3ufESBSrzmEJIUTW9EGuRgXofJKQNehfe9VcHyGWPjigYLVwA/e13Yp951KW1CfzEISqB/PRdlPOCskocUwrduVDKvQvjsZj9WhH2FroX5VtWySNOXneujtQXVP7pGihSMvlaXlkGGGwV6hbHHZYlYA+7q7L984mlFf0s3KkuKAe6meC4z5tYZuMMgYaXr+Oz9DfadqXlpInxJbMHeWRxQ1J7kn39NgJx9nxFAfx19koPbUSZUqhKFPMEi1iR+fLBpC8tQCoUxBik1yVBz6eaEb3tpl4f2hKzGWfo12ycpEYoBJTsWIybWAXneZODId13IalQy5pZZwkdK/KYFriQmL9N9rbgr9HUO9Oxnzv0NSdOVUiUPkqU/bEWyMBsimhroDyS9gSSsSfT0hMYkmlZDEwSqnBClRlPm+dVW2DtiFLQjS4isesPjiZDqMj/K5KoyPCaXJQWLV0A+Kk3K+oxCosgq0F2mvSsJHek75S2GP/1cnd//RAsncmni2dtr72wkmxj159eVJxW9SBXkX4e9Ryr5qOpvV6kLz3oixwHu/Ea8fldpH3Aqa0lMgFSWH39zj4OnA37/k5okzUCeyZqhkH7uICXIGXNWcgmSW4hkzQ5+D6lKcJm5b07kwPb9nLn+tm60s77aaW8LjFQnN4h1iLKi27PjKR2jG7whEMYhEkEcC5baEqckWmRLfZjNyy4Kmiqp8jWsm/+R8atvHPRjkqQA/piWzVl+bXBZnbfhKoxdjvStzrAelSh5dtJrbylL10TJhCBMOHhW8sl7mnS7AdR9gsTPQ6+k5cfb0nKQwwjrjD8fCY7+uwxeAX1FsoxsmJvN//Bd72s9cZsFnFL6mYatZsqbX9Hj9q/UOXgm81izQdhGCPojUUFeerU+k6tsdVEuAzo5e1bsRJlbhbltOApsJ0S26uWv/e+WI2AeHVGyRnNT6naXLTC5LKru3eOypI9JHdozVoDWfgh8dX+Z0W7xsdko2fHJfd98ktHIiR65ckd/TzkkZhTYJfirwx2rwaXN9LetBJqlLCnAXWy7UervfLtvrVOGieWOB5t8+fG6Hw5eYW8p8Imd/BhUZo6sq78rKxrV53/DW8Hm1dKI6p2SwUe778tSWmklRiiUsVihSIeaV18X8+oX9Tnx+YCh9To8E8+kaIbC914K55f4Qnvn9mX+kYRP1+evVQZoJyjaGwvtLcpspsyBnf27LHbEZznJXJUczJXuo2osU0i/0Rgwd2OqhV9587wSjloU0GpF6Isu2rkSqPT2hTPRd4CtjB8bkxdrWHqt/CB7b23qenxGRmWpHwN2ORO8nFy6VqLYUbBX95FRhnzD2DKY9HepfKeODFPufSTk1/54EmM1hKrU3kIW49iq1mAxUKeyVI4zOWPPn1eiVJFdlSwF2PMCrJKtnXQVmeLnpkhpR5k8kyrC+mFBYWj4uR9us++k5t6HJTYUGYt7zZlYlW3yPt5xVIKdTJ5gs9e5NUimy0UpUXxASemiyDEGF2sBW2X6AtCUNTOjwaUopmTl8sbaHD/Z70ktQaCRunn77Nz2FXXdNdu77ZXzhwLtfkyKhEBXJMp6nTOyYpmNVPxVBuBUso8jPnY1G5n9PqkqSZyqS5JvT1Lp0MmDSS1dhbErDF5IkopzUkno+BmDCSeXBL/2gUnuf7yZ9VmGoHxLmpaCuoSa9H2dgcxGT1TKZEdruasd/WUdvKpO25KymL5VNEyL0eNXnWuoKq5RUdBVlXX5HkAjFZj50MtylBoONsymRNrx0FMhK/18Oc7FqyymiI/WzYgK7EVFsVRkTSUbW71WM8Ex8m9G3aJcfpUSbaQnlbH/Jn+v4uqM16JXU/VpagmCiPlzCz/45FPP7dPNyIJwWGNJVD4UZpRoRoz2NUxeGUheBJmlnBldCaoJntFumEKSjOjwcRfFjrF4dWuNcXDn72WlsNLXepvQ8IFPT/Cpu5q4Ws7c3j0RoiyqkmOFVesFldWKSVH8b53bmBYvEjzV9zJhW1byVbvty5a20gt3hSZ342MmhEJaixAa2Te85bY+zx0O+PU/1MRROhKdOQJi3/ezLpOPB5tOZImfTF5AluApJAtFVtORyZ+8pFZW8EGm2fOg0q2VwSOYEqP4K3R79aJyYKxFqDQbnOTQW+eGSCkYDlNW2pYk9bn855tsVUiT/MRlIK8uJzmoKZbxsWGMI9q8kjiRzwPybA+avLiquimSyvZsLHYDU6bc17HyqFWKVIYvPxzxx59vMTC6tAWFBuE3Mc1rTqqFVSOfkfGg+3nua9TJ82mVUo5Uy1SrdmFRcFUNOGVl1JsQyEyi2OJRYYXFWE0UWH74DV2++mTInY83cTnAvWGNdYJh1hkvcobNbUrpssnLXofnhK5E5pbY0hZ0mcR34PsjC0CW0iWTzoVB4SrYkRkTrAfqMr4bTfqUBOH7GOLE0kssUjnAomeneigJ3R70B35OXWHcV07LWo9yLKhcw+7+ChlxSsbYvArs6lYYa3YPqDB4uZWdG9XcOYvLiiWYa2+ZonRCbyj4lT+a5PCpCBcoEGpN1jIQpe+dl8Sq9cBb1d8ji7eoYvfrCvKR6WE5q1eWX+vGmbxaQTee3XQe3CJncYkQCmE1MjZctC3l3/7jVb76ryI6A5kL4OKTWxTD/AvaksE9S7mi44gii5kngDI2l2T/pmTrvBZFuCyYzPU2lX9TAatdY2SUgWZ5ON0IuPNP6ZxP8MQpdPsOkzXP6aC2gUBLusMhcdLB24alRhrfV6UaTK5dTqrvrQ0sgQLMgtL+qzonYgTkdo08yd/P/W057paMB5nS91qmBt778RaP762Vnnd+z2pOAuEq7WilPTgSVFZAvhbheaVcNdlTpYnq8/KtqouSy5Mc7WvnFmZWoRVYkbG58M/9z6osnrW4CY20jusvT3jXd63yWx+ZIjb5hy7BbqRiaCAzuUdBXoBYFFs9Fgkgmc1zyYqmClejEmc4V+LA5kzsRo8pbvTYrs2xiLU4HCMHrRwbJyfR0QTOGfTcjrcS1ZoMxbPEhz5PGOYbC41KlHEZsv7U2VFQrwV7RW/nwVIeHIn1dbffOrrU3YVcUbYC7tImlAVzl21oqma488GI93+sxWo/8Bkc8Xw1JxXtvSaQG9PfazA+LkPW0eVu5GHNe+OtWKMJoDJt73LtbWXpsOSltUJhjcMKlyWDFCa1TNQsP/LWLo8+G3HH1xQ0RFk0kiEvB7lQorAOwRdJaaBok7f5+zmTezbP7eKcvV0V6G6U1YusJmVLW6EKKszOGI5gFPRVwDtrePPrbuLGG66l3emgpdTIbJh7/p+W+xyWJ3Zc1K8x5CsAX5uur1hsMr+Sq1KlKlFchdnzupNxJq/uvlsJKPO0fJbYUTJF6pS9RzX/7aMTHFwMsn3vPbDzXZxH2LsiS9YEmDy//qZ6QrIjvq7qLtbUUWuwcCWystUqqL0OL+VK2aGebV7lBCLbqts5WwG7lyxGKE8miWX3TMpPvq3D0bOaA6cETmcsngdMTmCQBZO7rPk8yNP20m8m6xeZDNAjtqCozItxWdBZAn3k+BW+uP8dFsH4CjmqEMpDWDU58n8npXdclJZEoWYYaHRqJdpKklSSphBFo1tSjIO0yuijf3idKf6UCaCRzYlGPOVKUJlrcWGfh8ntSKJHFoFkCWopy1LYIEo5uyr4lT+c4JN3NXBBJaFTOCeior1HB1iOzPcby85C9fn67VcjoK68Me6gVN8bTdtnulZWAtH8nulv6bJRyIV08SuwFQ5jMx0uwBpHiiaQlrfc1md1KPnZ31TMrwiI0gyh2YeQmhSVjw/3DkUWUOaJn1yXyyyAlFkA7gRlCW01yVM5dpaSreUImNdKkjWMvg74q0V8WkKY74uqBVopRRBGZ4NAfHFmduq1adwuvFoh3cgeKwVzV/6Yf1oR/oLCjB/frmIksKwCXT4Pgxd6e3SPdFWA3RRMLiuNw1ImaJ0QY/nMA02+9HDD626V2YJCFo8qA7cfIu+el7ULe3MNg6w96FVgf92M5niafix7OV6jYm1W2GR9gqSUKV6D5/MDhcvHOEisU74wS0qkk5hUo7TjNS8c8MaX9Pjg5yVxKvxeHzlCM8lirGSY1Z9A6ZrkoNeFHZhZh/nPqoyepe2rsYygImEqZCHHjuGagLJ4Psr0LsshmMSwYWYG6+QXo7B2tiP6qN/4/36b73vrzSuBciuC5Hu77XNorcqex2pSJq/mU2UCIh+hoMZej25SVCaJyuwkfjvoSm9ltdeyeE+NWoKFNKmAe8QSlH5gvZGWT99X5z/83iRHzkZlE4MsH4UURBJq0hUzT/LPqVWZmBrdtjBL6IjKLnQyn5koKTfKqgxHKio05ZpxGCNzYCpJsXJGeuVYitH/pkoe1dKHkQuyQiR5EOysY2Yi5YqLU07MKw4c01g3hrAsL+7wafVyKSq1wvhYz3x1qeR5CvmCq64+o9f3yAUOxeAfW73YXfnaMhqU50o8iRN2X3whE5OT//dTz+x/8A2vfbmPG7o9i9KW3sD6ohrlso51N5K0qW4XUVxhjHznkatufFestZuElvKkeC6c3zF3RHvb7MKpsPUIuNMisJQyRYeGEwuK93+iyb5DETRzvZ0zuFrD3rnnrdZl6fEy3/J5fnDWBD+VAzUCA1cCYi2ZV2pBKtOkyvJZKgFmRaeT1Yg7z96yWnkoJcIprHMIqzHCIVAkQ8vluxN++Ds7PPxMyNFzlWXLFksxoAsm95Il+yzCe+T5e0pWaldsWbfjBH4Y0IicEEX3z8iKP4KjKs7WOZb5eZJkm7J4VlfCIl2KxE+T1QCbtl5BENax1tBZOoyWfii8VBngit++Vj1Wl491M00VeTLKKNXAc33tLUSZqSztQVNKFWkKqzDX31qnLLUl7/ngBPc8XsuqBHUJbJnXnHjXJB+DXFiTFcb0FylrO5vGyExQOgHVY/K8uZ0KqKHAckFVVdYqi6+yAJNM344VX1nrt9r2cqXU4dZahPCBo79QFQZ/vE3Pcdt1Q/6vd7b5j380yXIv+8CFVGEU5Jm+djYHt/fAkTmoPVHkjkpejGUrx7JwUURuHVaCywppjhPG8+EuH/7ppCMKNJfs3snNN11Dt9svAT49s4nZuc13HD/wpV9rNoOfDVTXb2Uic06p/Fb3/H+MCqBHbcMq2NcDdrWGwgNdjDF4YQ2KksELt0SUweVAOH73Ey3+8OMtOibwLVsiL4XVBVq1GK0YLALMSg18kYWtMno18KmyTX5RF9v1/Q1v4wVXuYvCmCYfS9mXnT8grO+htdZ78DYbipm7Kfk58YkUiRBem5vU0gpSfuytHeaXJP/lg5P0Cz0iSkLLQG6RDK2X6H4+CkWCJ7dXXeailJ542dGfy45xJ2WcKHg+cFes+fywiey8pcJSr9c4fnLh1/7RFZfdcer0mRLgGzZu4aE7f7EXSXlkZtLgTOLjMZFVlbn8wOfThMapKgs0R076+gye753ig0u7xiZcy+S2wtAZ0AuJUgG3NDhtee5AyF/c0aCdZFWCVOWJlyYSKmPYKuW5FRYf1bFjDD72ejzSzy3C/w6Bj+O7eCzHIFBo1rybZhTkYsQ6lE6Cc4U8kUJm/ZL5PkwS4STCKi9VhCNNHa0o5Xte0+OLX414Yn+mua1Yl8kdkgQqDksel4qy6aEAtivqU4p0fVY2ayvHT+ZAz7FTAX2VUNfLD1RhWE8UB44tHnnnT/yH3od+7xdKgANceu23I1WDlbN3snruKwgZer/VqJHObpkXBa1zskadlspIYUYZfA17j/vghQ7PAV0+lxVw57JEyhQVGJ46HPKuX5vm6QMRLpBUU/HlXZS1JnLU8xbPA2zGHkdWrMoBFuNicf0Xa0FeaVkbOZm5JVEB/priq4y9vWTJJk7hSy687s6dFZ8EEpl8kTnIsYjYce3FCe/72RV+7D8Jnj6YBSdjSaAS5II0+055KW8eQyj8+uNbK4SffJW5cXkbW+mBrwX7yNEaY++R6kEnMM6POTFO0B8YXnzr5Xz/d72MdmfAGoA7OY1TLVInmGguE4UNuoOAJAlIjfJD2PPa5EqwVP0E6/riIwxeDS7XCzZtYQ3mIM8twRzcch1w68DQcZLf+USDJ56NMHqctTOJki2foSiLqgr7ikyWUAV7+bOqxVUy+OguBaPnRYxc9Osjez2w5wxVCSxH3itPsKzUjMu8d1OIoudR5Cxuc8LxQJfWYYWFrCBLWIdKLddfOeSfvLnLz/1WQCcVEIx9zjGQJ85bgf7v+uNpMzYvJQtIK7KFYHRciHBrwV4ljnH2hhLYqYXYCHqpoDuE1KRMzgbs2jnLSrtX/HcFwI8vhNTrtYNfebpxaFIEu1948TLNWoueAOLM6bR+pESuE9cAvPrhKgCHzOuuyJMqsEUV3IX+LpM7HuCmEmDmmUqDDgw9K3j/J5t89EtNhkpnYB5jbuQa9i4ATaV6MQ+IKkAuPf7RNjRRoZrRYDs/O19fqLjneV4wlmMkAK1OcSqYvOo9jySAyvJaYWXWSuZw1nnmtgoBGOE5F+EI05S3vbrHnmOa93+iRTfBg9xSHhSLR6T0x9VYwTADtZEQZBelRWDxNStF140QRYq+7OSpgL3CEOsiLGNv4zy4u6mgk1hawSqvuWXA2145OLRlThzcPG2K/0blT/7bf/0tWhe97NDKYGbjZ+7pv+L46TPcfGWKFCEmVRmoBXlWUo6zb85q1WAxL9SvlsCu151TZCdLS7BsOcsArkalife7DZ1E8Ed/3eQ//eEU84uB79YopsKWE6oQCiUhyuq9i12KxfoNHs/XjFBMGyj87uzECe+P5xtm+f9WMrLPUP440jVV8cQFI5vfjvTDSij2ncyTcFWHp7Ia5StmUeBWIZoymCuBJCvX4OSE4cYrY9o9wbOHtE8CrZFe1Ys2sykz7DshRoLAPESvTij2NqhYo6fXZHHHZUn+3ApSB91EEKkuP/kdx/iX37+Rqy6/6r1usOcPZONVaxkcYGaqxsRE/XN3rUy/6Y6zO6975Q2LXLZdY13mNAqHpOyjW6c2rpAnef1K6aaMp+rd2IVix4JMm7F5pfZEmBF5IiLHp77U4N1/MMHZZZ0VUansrFcekUhRBpZFrTeV+dmVLOaaYrEKm69rX1XfLwAmvg53r2Umt55coZQlxfi0dZyUaqWhl1Qlk4sKiwvhS2qL8+FcVkedK2ZJGku2TFv+zY+0WWxLPvTZFtRSCnPIOtYaRX4khUEUWVadfX7lvJuiRDY6zlVlX0WiMHZsc8k7EnBTlNcqAXXluGSH5U23TDE7OfNEfzD5OWd6I59MVV988RN/yrbNu47PTZmbp2rqhm0bAqZbsvgDa0auFawNo3bf2vR7zuTV/spRNreUNd6lNCnsQFHKEyUNKnIcPKX51fdP8vjeyDsmquzOKR890HXB3pX2M5FtgV1lcFEy98i+QJmuLVvyyjl7qnguKz+rbKj1dRh8TYaywsrjJbqjjD06laB6Hgq9XWHxnOGp/L7i4i0u0mxwhHVMThnqEXz1qYClZVlmv6qX35owrGTzstRAlMDMCqqK7ndKyZWzs8tXAsp69yJDii8NFvjVtxXCRZs0m6fnWGrPfvbokdPvveqFPznykfTYR+QVL9oFCIbtg0w3+yRJiopMZfnLD5Jby94A2QEudev6QaYYZ+8xHS4LxvaPomILqtBy6LTmF943xV2P1iDK3BJy3V3V3x58XntXBviwtta7CCbHEz0ilweUzknVXRlj8f+Zmyv+rxJorrt8+6lOsiijdUUCaLzFTVSSQcWsEisQyILJyTR5Dkfbd7zqxgG//K5V/t37Jjl8OoRw7MPmely47FiXbJ7gd21IgcDlNeSVLilAuspEMJev9GOWawVbo44VRNqxugKP72/xktmLsGbtMrgG4N/2hlcgpI5P7jtD0jlMEHhWzfvoSi03+lgFePV5AeIc7KIMNquSpJAo5B64yQBfgltm4D56TvOLvzPJR+9oEItskEshWkclSs66JbjXlsKOyxAqB3H8VnVM/NM88BSV98ZOTCWgWk9jjqB7DMzVn5Xls94Tr/ZwUgV2zpJ5EZYrCNeQvwAALCZJREFUk0CiALyvQvTvS0TmlQsnwSmMddS04e2v6WMs/Lv3TnLsXFg6K1/3EvV0b7MhQDYDms9KeOtQFtKwujiIsoQ2+1XVvepHQG4FvQROLDl22w3ccNNtcZKYNZ9mDcBnN8yAmPxX+8XmK2vRo7c1awnGBN7DLE5w6XOXJ96teS6eB9wyu+qrjolncc/cAleAW1aZW1uOLWh+7j2TfPzOBrGQJbjFeFJHFuzt53tXSmEZT+iMlnM+b2Jn7L0qkst4pAL0Ecp5Hj+lksHMbcHiF1YvBqo9m650UopEkCu6ewqGr2rwSvIn36FBZIkhYfMMrE/lY/1jmjoCLN/zuj5awc+/Z5JjC+E6qKlcnT6yofCnrMCIcvJsFege2K7YOLYAsKvo8SrLV7LKxsHSEHZs19z20k1377pw+7+aP9/+7wNcyCne/bufb8PGfddvDl525faBsmjKqUNuRHaM/Ldr5EvVKlxPmpTypPS/TcU2LMEttOH0subfvHeSj9/RIM5Fc8HWaux5NnFUMLLtthoH8Zrn1Vr2tcwhKmvnmuAzp52/cXi5/m1tkmd0o6pCSBQZzFyykEkWV0qTAvSVwDMLNC1epjh83UqRDJKqeDTGobG87Vv6pAZ+9r9Mc2YpO5DrAlyVX0JkgHf+MxjIBvNULoN8tFsmUYr68AqhlqAXha3rEBhnuWxbat56m9qXLP9le/PcO9Ycy3ULJ5JUMBF23rVldsdTnd6ET/FW0uYj9l01EFRr3Q9ZYebx/25N4qb4d6VbooT/vUYL/uBTDT56e4NYrk2/jzonnhty50TDiPYelSiurB6sQHMkcznG2OMypHqSR/sx/0eRPSpLxtP2I2yfsXdht1Gyvc1/XtXkFdmydn9KmWU+swxotoubscrXkxuJNo63v67Pj7ypgzbG7/rk8nsKNh197aqvs0GLmeuTOogtDJ2/x8WjYGj9PXaieB07n1RKs30x81r0zQ0JyZanDp/ovytQ6x/SdQH+Cz/1el5zvTG11lXOoXFutPmgnNw61ipWBXNeT6KqNt8Y6Cv/vrT/Sr0tM3CjBV+8v86Hv9hgWFgQeQJnDOxkgWUmS0b2bl8jScrqxzWpeirArmQlR5I/Y6Cv6pH/EZCP1jZXHYix4HIE3OOp+3Fwl+7D880Zd/nGVtUWNzv2M6twTuGsJLSO735dn295cR9hssmgzowBeb3nFZBXggybgT3J7jnQBw4G1t+HFvoG+lYwcIK4ADmEgeTmF1zsPveVmhGT71j32OrnO+j/v/a+PEyvok73rTrb9/XX+5JO0p2ks3VWCEtCEggQIkGcAY0Oi9xRfHRQXEDBhQGXCzrjOjOKuI1zL653VBS8EFAERCGAhk2SyGL2hexJp/dvOUvV/HGqzqk653ydzgIBZ+p5us9Wp87yvfU772+r6uo+E8wv3bFv05+6/UqpoGasy0iUhHoJKBwppiWq6Sr5xxSKwsRfAEIDUDBQk4OYwH2P53DDbfV4aZsd2rpTyqQJlXdDaOwWEZ60DMtJFsfWHSXVlU8dyhkWlSMovNrO6I8AiBVJeSCVnKwBX7Wi8MiKkszOJ8KlGOZzQlE0w8AsKkaSDcQ1KTjmTvHw1esG8AkD+PXjNYJQK7Y+agiWJumK+jCCdskRgITzUGYAjVSkrdwjIfoswtHW1jJ83tKFd9QVcri+ynlVYztzhYl8oGfdbU7d3B5CwqmubdOFZXjhxKnK2Nsx5YhpTGwDV6V0SF1CUAfKMcWBIyW3yUBMYOVjedz4TQFuS4AYEswi/BWSooSG5IiakOzRqdSYE6oAU6UnSUmdBLy0G8szNWqT0RFGC/Rq0lvz/GnZMZKCiPNTyme2RE9Noa1JdSPM1ucEjIcSXB7jLjCry8OXrxnARWcXw2n5AhZLbCYpSqBsJ9ZZIKR/TF3i+buVP2XObs4CsCCAGwQoBkCFcZy9oLvn8SdfvG3m1A5e7b1WleAAUNM4D9w/BMt/EPW5XjBO4PlGNGdjaGqSsSnKjxqZdlSlVDUJJiW47BBBuB0aTLHy8Tw++a16vLDZDh05Kcmd5OBhf5XxJhLAsbdSMUslJHlqFFwFoDovT5CRDOsISSyrgpqPvB3PNJygJImewIE4+UCCmYmsm4QkJwofl1I8Vj4VhRRhNCKEZOeMxjnJboC5kz184UMD4Bz41eN5caBa11UkuCbNqSItEEn06LyIuzHRacLpjD2fwBrXhEWnTcfY1voR3/GIAK9r6qhs3tz//pWPzfzFtm0DhX+4qB+zJ7molGwEzAzHxxPepWTRTIWAALMEOou2I6VUgt3g4AbB/X/I4aZv1OPFbUlwK8FTIDq4Bd+2IALwkZTWCXc8oFOQjH3a/I0JwKeeWV0hVeiH+rtnSfuEazqJEZ2CKMAniCR55EGUKWYR6MU2SVMWmZVPWGguhAixlRYZwIiz7gHADXDSZA9fvnYAjAP3P5EX5ym9lSZFMlUeiCovIevNSoAzIfk9oOxh7uRhvPOCMiZ2jRsY0xRc3d7WWRnpNY+YfvLCxn5m1cx4+tSTVgxs3jkG//qTGqzfweE4rpC22d7JeDgIhYJodERVNoOQd5MA1OBgBsFvVufwia/X48UttgieUkFspIEuzYJQJowiiuVEUSgj6Y2k4pnm21V5dkLKZ9u4jywWRcexnpgbmQUBqDmdUT2FpuiezgRFkUyAkzDaTw4cFAE9tqTIdaloMi7/4rk6mQvM6fLwLx8ewIVnlmAwFtMQMIWGBPofMpTPZB0uwrek9HZdzJ40iI9e0YuZk2r9Cc3ly08/pf9Bs/hNNtK7HRHgkzvGYuK4uoPzJg9f8v7L5niPrc3jn7/fjIP9gG1y5cfl8Z/qtCG6dFb/QrD78boRzrD8u2ccfPSr9Xhpu1Qok1I6sS3ivCHAHZoEFe6NtIUECmAjACMNdFkvm4Lokl07Sd03WnBniXv1WNLDKdJp1FiPiC6qZkJI1V8ZFUtdqvycI7KeSNe+3gGUjiCcOMwFZk/y8LXrB7B0QUWAvJoFReXdcjvDyhJ9rsQL8AnaGz18+t2DOH2Gh/3e2fzpnW/Y+s0f9rL2qR8f8f2OCPBCgeLZ5zegP5i0a4CdvsV2ujFcbkD/UB4BM8FVLxPRwU2El1L1UMaKpW4SJAbADIKHnsrh2q80YMN2W0RBkSqSW+XcIcpkvEk0nzxUXs0VoPM47kS59yRYw2PqfIyhTE5aWFI0g0DJzVYr6rjNpi9E+21Vd31aesdcPJW7GbVPFMmt0hFAMyFKQCs6FUsCmikKKDfAhVTnnIB7QPdED9/8eD/esFABOVTpnFzPkNRQlM4oH40CxEah4MBAPRpqunHJG7u3XPvOOeX3XjbrsALksBmyjBtY88za7c058703vmMO3rwwB5M2oljKiQcM33J2IFVCoVRs4dExi4CZBA8/ncN1/1aPDTusMN2MEqQ9lNJiooJcpyaRhywy/WVL55TNGzoPV81+SW6dgKRY6gH7R1N0WpLuEJrjJ7J76/WTZkM1hkX8UiKiT3YYJec24uoEnFGFqijLaAIsaW0RuQJuCPJbP9qP8xaUQQMGeBLIPLaeSKkNOUZ3AtQS6GEgSvhb5xwMuY246+Ex+POOpdi3v+G9zz750nbHPnyCt3m4CmecPA1upQjLzu/Zs508tm/rs2eDDcH1TThWIBJlWDoQS+b7CS4exZ4IiQ4CUAfY0WPij8/ZuOW7ddiw3Qa3BCqVeIZY3iZpiiK9EXssNQ+lYk3RpG81wCt1oII+SVWi7QynzlEAnCeW2v6EyNckOEhagqccQFyhLXEMeWj7FgomCIghbdJiW5XikNQEUapcZG1hCL/EPsfMSR5u+9gAbv4ux5NrHOzoMQFLpgQhtoNHRhXxW0JkMRMigB+/eMsg4D7Brt5msNz0x2bMWbxnaLgEYtYc9r2OaowD26lBz54nNuXzNbc1tc2G7wdiGAcfJvWFfVsBN3Rwq25+Fdwbdpn43Lfq8OGvNGD9dkuAO2HXTrrgiQr8WHqrSQxUVSIRm/+iedo1MEuYZHDvBMNI7dMOHjmoMxGuglixf8udsVKpLmPsxF93rnFzFimhKvWADl5GoU52xZJ/LKYs0jau8nXOQroyY5KHb9zQj89cM4DpHV7ol5eSmTHdBi7NgBo3k9YTLwwBYBws8LF4wSzU1dfdds+DT22qqz08uIFRSPCoJzjTYVgNT9t15bsNvmNF3l6N2poKGANc3wo/acLORUjS5h16JqP8zBywabeFz32nDnc9lEc5oGEmMM2iICNLb0NIb3Wav5TrXQFvluTWsucjkBMNxEnpnVlIPC5KTG+qW1NU54xaiSsHY8muJCEL8SdjD1VTYbxNYryQ8BzOpa2cJKQ6iY8rZkM59iEXGV1aHWHHDqEYZ82DMRCfo705wDv+pgTHAj77rTps3mUBjsxaZvpbIIaQ7MpuFgC+D/ASPJrH/LNm4byFM+5ecvrUpw/0DIwWtqMHeHNLO0pD27ePm7j4I+uf+63xowfGXrxucxlvXtSHFUv88BHFD6XxcZkhL8LDqEWweZeJW75Ti7t+m0cZFHDkZ0oFtfJHkqbC8E1QKGZBqEnEArhIO29SVEUBbMosCLWOPklTVYeQ8iMdqVBX+TVkvpbq74isJ1yPX1E5tAp4zhN0JQZ5qGCGmeySlmjjrRApqQHOmfB30Igmy0lhwyEhBNBZmCwCBrAKh2MyXHJ+CeDALd+pw5bdJmBxcbIsoqGEw8cBw1vO68eF811s2teGYW7f+8aliz6ycfvuHbOmdxx/gANAvnYSnli9akfeWf78ll3OxWteXI+LFxbh+wbCqU8YDOIDijMnlNySlhBs22vi5m/X4c6H8qhA5I4RVUKrQE9IcqJQEw3YimUkEU8SWU+QHNYiXVce0/ZlWlf09xJvE+X/6BAupXeSg3OkJXu0X5HmYSgqlG0BeBKG0hJ1X9Q5BJhVJ5A0OUbboiPIYwTC4SP+xPgrJJLu4e4wZVPQEZ8jbzBctrwEEOAz36jF9r2W4OTqOyLKk4fZWYwb4Chi7qQcTu6ejdqxi57fuOmJHbNmLzkSyB4ZwAHAyU1FU9v4Ly87Y++U+VMGLp8zoYiBYReO5cIyXZFZrltOQAGXU/xprY3v3FmDXzyUD5MVjAS4I4mt0hClDmLpHQFcVSIVCZ6pVGYs1fcc74sPpkyB2ZrmYcvRUnSNxiQOJN32GgcXmeFcgF12mDBOPAY1Ixwk6jDqWCxEoS5UMAghycVMfBxxDjIDQMXAiQxUEDUGFnA4BsPl55cAxvHtOwt47i82KhLjjMgTxY9ggpo28gawbv0YrHyiBRecO+eO02fM/zIv7z7i9zcqJVMt80/pwI4ND/ePGz/1PafMsB7vH2pB/2ABnh/2ldjJEyqixCAocYIf3FeDFR9vxB0P5eHSKuAmh/mDAm7EGToGJP1QKUksnbXpD5WlJpGT+xRQpiwriXqHB/qRwTuiGAlwcxAd2HJb7QjirlSTosabxb0kPZz6kgBctZ4k/qrtg6Q1CZt6AFgsBPnKf+3Fu/62iAJVHULKkgA2JWjLc4yts7F1X+7xCZ1T3vPb3/6+n+YnvPIAB4Bzzzsf3V2s2Nn9FrcStIAxDscKkM+5yOdc2I4H02SgDjDMCX5wTwE3fbsWB/pNeCqfToFbkdSxYz1eyrgQlZ5AURShMfeqkluDQgLQGicn0OlIFX59JJQkhWQFnKlGlG9/xLWVOrp9XLWMJB0+cXtSiofbBDF1SYA81aYMqlMsLNF6bDPnShBe6CcR1hUGmJyjrSHAFz80iCvfPByC3GNhRKLrAxUPqHgI/PBGuzrq8YF3X+Tu6Udx+fLzjwaqR05RZGlsmQbO2VNTp5+82Civzx8YKGL9ngDEIMjZJiaOYThUpFj5aA5fvL0OfYOGyBdTI8gywF3NLa/wW1V6x+54Hme9qwDNWkIPk1WltwpuFXNxG0lRHq/G1zhyQqIBUuHevFrdhLKZ4vGKFUXGeitZcJqyKekJkdYZ0T6R9eQ+IkEuLyi/CuFgPKBETCkrf69AZIMBhIWmYuZxNNcG+KerB5GzOO57NIdDRQMT2hjyNgdoCXsGKnB5MxYsOL108uwpT8XzRx15OWqA19bWgvlDn+qYcja/99dPX/+9e9zcuq15wHPRUlfGpcuL+NNLJu5fnUPFN2JKok5CigT9UIdp0uVwhLBo7kooXDsphbMSF1Qwq0BGDO7IHZ8AfjW4Zimcx1w0cIdgiq0iuuKpmRCVRGRIMCqfiCgwiwjrCok7CWQ4ragTAVuaFFVlVLwoAkQDfQIQYbdUXDEKrAVIrCgwFv42zA9B/oUPDmLJaR6efcnCZecX0VJL4LsWVr80hB0DXeW3Xnz2rQGsT9eP0uadVY4a4ABAzVr2gc/+7Jbh4Zleb7H2xv7Bvfbw8BC6xhTR2ebjwdU2KiUjHLdE49tIAD0pqZNBVTGgsuiHuk1V4AoTQlqicw3YWRQ6K8gKqbb1/VW3R1NUwZg8lrKTq25NEtmQI88mgNAzqNjBlbYj172U4DLrRwU/JIBDSwqkRQUyplyAWqiYXNgNGYhQMaXNm0f3HA62GfpFCOfI5RhaGxh27acYKhPMnmji0KFmnHvqJLe1o/ErVs0dnye5D40YLXi4ckwAB4DpbYbb1D3+S+MKvjuu0Pe5KRP207e/YRgLZpfwwJM5MfGTkk6miVBVOqtAz6hHYgAnXfFVJ6BFBhdPgEqT4EgDW8aEqxREA2XWutrOYcCuOnVS+5F24IQrSjy42iGSrnr1BqL9sUMlrkcS61xQFBEPIkEOHtMUEu+TVhj5xrm0a0dfEyrmq2ciO56CkABGwLBzH8UPf1WPdVvr8dazCOZPH88mTZr5OdLX9dXS7n73WPF5zAD/6AcvxW/uf6g0fvHMu5fMq/lsPTmAWZ01KJY8VDw5EKYMlJI/U4IvJKV5xM+hoVIGUmVFqWQpjBqnTgAvZUlRKqUVUmhA1Xk2SV0f2aeliiaYVbBqDh9xWLVhJ4brgALOWGJKDp7oCGpMioz7UG9EOpm4nhHEwQUN4boUBxEWSeXanITjKhMWtyXrimsQQmEFPhyTw85bWLulEcQDZkxdxLkz8e5tu0ulxUsuP1Z4HjvAAWBm9wQQq30jr+Q+6A0Xv1Px76OPr3GwdlMtYOZD/q3FHCg/f0rhTEh3xTSYNQpVZPxS16PWuQZUSVlS/Fu5nyxaEu0jydrp86sX/RjnyObvSZe7XElQlzgWJZ7WLyIvHHqHydrHFRBDTWKOnUBE3CRXliEtEUookWDn+puPsE7j961weGmNIcTEvGkBLjitglVrTVy4bAEbM37aB6dOm75x07Z9xwGZxwngXVNnou/geteZMP92d+czNXv2NH/tjlUML/e3gObs8AUyPwyeicIkoYA5tpLEoNdBoTpwtLFMEkqm2kSSeshLZtKSDGUU+l2lrqEdyNJaR1kim3Vin1xRgVoN8FkKJlf2yzZ4os0I7KLzRzxeAb9KQXgkghHRGPnlkOKBJ78I0T2GJsUgMBAwExWXoKXWw5sWD2KI53Go4nxs6dkLbn9u3YbgtHkzjwmTshwXgANAY+sM9PfvCOo7L938q+e6Btds/l1de74IagC9FQPDHsBlqhIkAFQNL0lRdO0vLdOzKUkWgKua/pRjqNIuEnXU41UOa/PNHLbIuoqSGe1P1hPLJOBV2pICfYKHSzd+dOeKUimlcjj6FIl6hnTZE+U8mWgejvYqwC8M9fI9c0F3lJx/YaExUa7kUCw7YIzhbxbZuOjCMwdJYdnml3fvDk6bN2OUL+/w5bgBPHzuWqx50bt36aKzPuSXzFtX/urh5m27+xFwC0Hgwwtc+JzFnDtps0suFWCmpvpLSl9ltNtMjk1GPpYpdMXONM1J3G7V93Fkry+F6aT1ROsAsaKpKo2R9I04OWIKEnUMnYdHUhkS5NAluOr4kfWUTh59kBWBJCmYpDUybIMzBsZNlCo29h+qgRu0onvu0kOdXQuvAx+4d6hcOBrkVS3HFeAN9c0AgMGBgR9f/pYlZmMBX/7PO3/fNqZyEDOnH8BLWwPcv7oAWHZVrp0lNuVagsikaQNUMCs+v0gic60BDX9KjAtJLDO/AIlrZ0UXJpoeVUkL7phny+ORFSN5YsSX5R1wjdLIeplBXJEiGbcFRUElyv2QqEEp2VXlVj4/SYCcw7J83L/axgubLczodNBY347WCcsONI8/6x8Hi96P6+uP3BV/uHL0LqIRSl19PfoG3e+feeaim85ePOfA+afYuOEShr9fOgziB4iUyijAqkoh8U2q1pL4ONeqqq71pNSOX3samMn6mZJX6xhVkCxKlvdRO84Pf5xnNab43tUnT7rl1TgULVaFZ1yHQyMQ6tAT0QMqEpyo1+TVey6P2gtd9+AExAzw/37fgH/56Xg88kwDCk1zD5x8yoKbclb5+/X1dXglyisCcABob2vA46sevb2zve6GaVMmHurps7F+pwMYufCP2uGg9UQRLRnQSHsps4c3TmEuBW7EHDKDU6eum7x2cnAjxDYXNb5F3dZsMlWwoNq7tR0Zb0SbLUFUSHaGOKOHaCBHshNw5aZ4stMRqN7PSBGF4iSqUpT8I3BOEDAKPzDh+TaYZ2N6R4BCgSBf23GoEtTf8IcnnrjdsBrxSpXjy8ETZcWKi7Bm9R0/8oJ296kt0/79p4/srLML9WDUCIfSZTJlSb7hRPC78roIqo8Eq73gLLaTsa5JbKSpia6lxqsaV1foVMiKCI6Ij4yyRBJZ6UiqAyjco7jmQUJnC6CYEOPG1BBaCLqD1DWkWVC9B4XGJN87oCW6xGMghqPUck7g+TbeushHbU3zYM4Ze+26DUM/u/bqY7d1j1ReUYADwK/XVFh9vX3Hzr3T/ZldjT8sDW/P+cRAhREM+xSeJ/LuwBG7cXRbdWomBvETVmHx0XnaegaP1gCt1s/g2upK9S8E0uAfAe8xR42XsUUDMXfW3OxQQCl5sFI3alyaugVf52kAAzz1zVS9oGENGZ8iTIPa21Y+O9poCjIZ3YLrGai4DnxGUakQtDRPL196fttVFe7eZWD4mNzwoymvGEWR5ZPvvxLFgzToauu4a8lJY9+x7IxJZRM+2hyGBsdDa90QHF4CAi8eY1pngCn+ncYRz8TRiEpi1nqC5mR7O4l+erXOcExFPhWip1Nt5Zo9W6EjenZOuD95P4fTD6C2XeVp1JDa+I7FGDiGD8vyQKmL3iEPxbKJwWIe5TJBic8pD7rT3tFQP/0uB4Vg1rwPjOJujq284gAHgBs+fDkM3hv84/Wn/rKpfdyVC+dNLE5u47hyaRn3fHYv3r6sBzlUBMB1b2fVcQWPmA0oVhXoUhg4nKkQI0rvdFtJtXbUt5daT3NzhTdjJMDqseGptnlGm5n3paazqckN4hqRHhKGw5qGB0Y8/OwRB2+7uQ0/+W09Nr9cB9jdxfb25itv/f9X/nLLy8PB9HlXHMmPd9TFOPYmRlfuvedO9Drn4OsX7HlxHxu/deYk6/z50wZyc6YMYtnp/Xh2o4ntL1vgRjy/PCHhzMQ2Sc8pr00ilQH8zCn45H6aVY/o2zTcF1+HJPbF9YmYIlAej+Z/pMp6YplUlEGUSEh5b4g7cbJ+NMkrVfYhvAd1JN3ktfRpChNDaiTPEdiPojLlttY+j4bNNqgPy/Gw6jkT1361BQcPNaFSrkPHuEn9za2Tr37njdPv+NHnfoMZ8658tWD36gEcAJ58+C5MWPwuXHFh4/OtLc27rXz9Off9saemb3AIUzs8/Hmjjf5KDjBsgBowKYFN9Tl2UsMhZ/yg1QCenhlY3SbavnBOy/gaEbCpAlQKDdTZnSAb4EnrTxLcKpCTgE+2U22+Ie251Y6TAHhqvs3o3oT3MnGv8j4BOcNcCHLT8rCrj+O7v6xHfa2Pty2vw8knndGTz4+/7i877P9818WHcNKCd7+akHvllcxkueo978BVAF7ccuBHLWNMc3hN55eeXn9f2zV/9yI27Czi1p83ISAGDEJgkwS4kbCAJL6sVUzGqRKdH62Tqm2ORF3C6jpfyeLm1YKqEsYN1UgS6XBRUJYWKKWeECc7RIqoqgBGyiVRGs+6Gf259EOqMz48GmbwAAjCGE/KGCghuPOhGtz3aBtufn8O77ti+QHasPRGwPsRIaMf6uF4llcd4LLMntKGUqn8vRv+YRnZtc34YrG3r+3PGwcA04FtGOGsxEQZSBOJTylSRoPwZ1XtiuoqSe3OVDTVDpQ8rHUEJDpJxv7DFTWiMM62gR4dGFk14lgPzdISPX8ig0cJvAp36fEnmc+e+V5JdHNcDrEGAGJGtvC+wrMqlQBTOysY39WCpjEXHXDts2/iRf69mkLuuONntOWEARwA8vkcOBu+ffL0M/zNm4a/1lt6pqmhMAQDDCYl8vVqn8XUpxrxjxD5NKQAI1WkuPpDkjRA1XrRhascSm1kfAFGLGosCXQprrrIhSUuNtXJLB7VHs717XhiWERKafKFaO8WyowcWscLLxQO7EOiACwIz2YQGPA8A65nYfFJDfhUw/LeM+ef8Ylimf2wpTl//ABzFOWEAhwACC2gXHZ/XN963qFzF5annuu7X/nl/astjxugNMz4C3gsdNRhkEULcWCR+AVpIuIuvpiy0CiKXiUaNhl6R9BO1jgzQfILobnzRyhSEmt2cBWkSBs+SPL5NGBLyU8QzdzE9U6vv5N4oAk587QMXFOnKZTPKr8F4fjiVFyLw3UtNI5d4lHLuGHF8kWbqWH/itATJ7llOeEAB4BczmZPP7f+3o9fdaH9p7Xri7ZNv33XQ+tIUC5RyyQY9sL5Ek0AJuUwKI8AETA5a0E4howJRKOmUgXiKRoBBZxyXR4Qy6yOoC+J1r78l+gDGA3SVa59WP4drSdOADSHTiS5E50lgm/0HDyacVqCXLbDxLAPUS6lcOb4voGKa4LSALZjs7rGM7lTN+eaprbuHwz173cbWg8/dverUV4TAAeABafOwDPPvehO72r/cX/Re6RvoHTpwKG9/7xxy24ccg30uxQFiyJviil7CIfHCHwGeMJWSwkPhy7gymCQGZ/kVBAW0ZdJiZ6kICRRVwO92EmUBjN1TJUSyzoZPDzOgEdEDTQpri6l1I4cPjw+L7KHc+2dRKY+ZR5UQsUXIDDgMwo/oJEp0DQC5OwKBosWDvblkStMxtjmxv9dqJ/yC9PpeHmgd7/bOu61AW7gNQRwAJh/6mwAKN363bs2HHKnfekt5zbYDW/in6JYa/zf+wkefHYcLEpQ64Q/yGCFoNcnKAYElHBYhCAHDgoSDgKZLIqpSzV7JaWzrKpKZDXxGMm6ismsGjPRFDdFudStHzpdyXLV6xaUuD1V6nPlUxBWV1PZFAuLfBaCENwGi+ZCpQTwfI5S2cZwyY6niCQu7l1dwc8fbcKSedODhXO7Pr94buFLm184EEybuOxEQyhVXlMAl+W6q/8Ov3vonmDZ8stvLg0fNIcPPPixutoHnOfW+8hTA611BDmboqfIMMQq6OujqHAbOYuK5AiuRMvFEX4amIlwjCjKqjxDoxgpBTIhnRWKo4FcsXurJQKw0nQ0FgliaRxJckVCaxYUIBLG0nqUUjaTf4lzZWVKQtpn0ACW6cGxPRDiYaDXwf6+OvQO1KDGkdO1G1j55HScfcYbKle9fcm/jR/bdvPdd9+NFSte2aCpoy2vSYADwLLlb4FXGYRpVz7ldL6JNpYmLx7f/gDtrHEX5+iA2THGwawpw2hu3o3bf02x8slWlP1aWITCobHESjs0ErRCATJJITrLVCjWs9ohIfxJ8lyCTLGuAk32x8ikrZoLtXFPMs5XgY34S5CKT+EA4xw0FfMNEMpgmgEc24NlDuOBpyn+/d5WNOdzmNVB0dbIkS+0++3tNX/8p+uvYGPGzP5jxcOneg4NoKV55LkqT2R5zQIcACwnCoK/6ac/X4lrLl1Q51VK/1Ec2H1Zrb2HdrW7mDWZomtsH7btM/DMJhuu4YBJeai5onWvnnS1A8ikFRqwI6uNopBKMEtprX4NZNsk/YWQJWmvVyWyClCoEhyKEyfDIiIVT4545CoJasKF8s0IGOFghEYOIml6NShD3q5g3dYAn769DTsPNKF7TIBaCxg3vovlGyfeOUwK7wuKvYPj2xtONDxGVV7TAFfLFZe9GTtf3jFomLlrh/p3bxo8+OTchry1olzZie5JPi5bNogNO+tRZE7020egpullHI+hS+Fq0jZLYYzBHR6gJA3yrOY0i4lYqHMfSAoTjyuISLpX4+Ay+TcyKWqzNoTtIBy8FYwQMBp6I8OBM8MIToMylFwfd/4+j42bc7BqPUyeOg2TpjTcPX/h/OenTOr4+nCxPDi3a9KJhsOoy+sG4ADQOWEiABz0ips/Qye/bZI79Gcc2F+/4qXtq3Hq5P1osisol8PhlA0qArTEGPumGPuTUjWeBAo1ielFJr4Vd3csoWMwZ8edxJI+1ZwihOXRCOQ8MobEkXyK9YNXuT9lFDfN28lY+HRxD6JAwEAJBTMYAjGcAyFAfynAqhfyOOPUApYsPB0nzz7p7jcs6r6up29oe9uY9hMNgSMuryuAy2LVTAX392/PNZ/2idKh3I/tllM+Uus9c05tww7YZR82NWAQDtMALDNcmlSNCMyIQlTaz/KHQJXwkCAmaQ4uAq0I1e3hsVudK+uSb4eBXXI7ktxinYsJyDjNBncyhoaDhBM3CW8wBQFnPBzuOAJ+6EQzKIVlhqbAUpmAmG1YceFSLJg7d1VrU/7rLS1z1nmeu/2UWcc/IfjVKK9LgAMAMccAwCbO+SYAz/teadwnrznru394atO03z2+1gB3YVECxySwxJDkgK5QZuZ2iqJZJ1J2Y9UiIyIJKUE64lC/Zy3JV1EmQeTIq7GUJYgBrXos5UayfdUiE1UQI04xESRFArE/COfS4YyAEgbb4gBMWPXLgsbGmZtOnoWrLzhn6R4AG5JWoNdbeX3fvVL27u+F7weT1ry4vcO2zTvvWvlI/cG9uwqBNwzDkMP9hp5PQOfkkXlPfTECQIagNKYRSjvDIDAMwKQhqA1Kwn2UhKEFaruKPhhZMRgXntdYkquSn9JQmhskHLfUECNPh9fnMAzAMjhMI/Q6GoZ8Bp75DKEDB5FfwPcJAiavydDS6KCjs224c/LSAca9S+yaqbsIMbfnC80n+ic9LuV1K8GTZeyYJgSMb+8Y1/Lywd6hOY7BFpkG+z8vvbTRf+GlDc2DA311Q0Ufg8Ohu9mwaAhKAQqWoA2cqdKdi7gLobwijv+mAuhEADOZUAHEPDiIwB5KbB6PmCM6RNgjCEIlkHCEcTU8ngtH1pcdyUg4tOKvA4kDtkioYYbOGxMl10Jba9Pg2I6ph8Z1TDPzDn9voXHKamrW9wNgr3eprZZXJWXt1SrhBFiElYoDvdOnjH+guam++z9u/9nUD7z37z//t28884WJE8atyRfqyvl8DThnwrkBLdgfADjjCKK/2HqR5NtSYaWEwBASWEpdU/5R+RWILSdMad8POAL5x1h0TcbjOVNZkiYBIDSU4obBYZk8omByem4WAK4bzgoSMI58Poemxppyvq51TWvH/BcWnn3Z59c+/cupTq6uO1fb+cDgYKmXEPJXBW75rv6qy7btO2AYJlnz3JPYfZAbNTU133Yr5e4dO7YtGeg7YHiVCnoGPAwOV1CbN0EpRanC4PqhVLVMwLEIHIvAsigsg8C0KEyDwDRCekIpDYFsSCqhABohSL0AcD3AdTlcL4AfcDAWe1ljukMjymOINi0DMM1QYbYMwLYYHJsj5zA4JgOhQMWlKFUMMMbg2C78wMHAsIN83sGEzpags7Pz8Zq8s2F4ePiDG3bQYMlZi+D7Ph877vWpPI62/NVQlGqla9JEINbT/IM9fe9zHLupp+fQFx595Pf27l0vB0HOPK3gBqc3Wr041D+EbfsCMG7AMYHaPIFtEs06EtvXCSihkflRcmXTAAwjlKqEh9SEeAS+H0pvz2dwPRZzcAFmbihfEyB0FDEgIOFMe4wRMBoqjJSGE38V8i4sk6FUZnh5rwPDasDpU1vg+Xj2+Y3mn1rGdBqnLjzXbWxq/qTrur2Tal4fDprjVf7qAZ4srS2NANAL4AMAcNtPHsXMLnJOLa1cMH1M6ZK9fUMzap4r4ndPboDt+zDcMnKmJ+JcrDifkVKYBoWhZLUSQVFsK6QNkv5wAKZB4XoEPmPhF0IAXEpvyyQgoDAMDoOTkJb4HDBCbi95vOsxBIEPkwaw6wO0t/go1DDQ3MlwnSb4rGn95KnGnU2NwYMLFmBVbdvFJ/qVn9Dy3w7gyfLh/3UuAKxyy4dWAeSxoZI7tWV8L3t43W42a3Lr5DNnNd/Yc2AXGmpt9PQcwP79PXApQSFvoa7GgmkQlCqAxzksk8AyOHIOR87ioEYYxGQaHIwTcG5gxx6Gg30BGA/t85QSGARgVuiEN02A2gSMAeVKAEJDncCigM85cjVNaG9vQ43jobNrLFpqN30pb27bWjP2HFozdiwNWG4zwB+oafnrsIIca/lvD3BZ7FwzADwgt3fv2QfHcRp37trzxxdesFCosbyTT5p5fakSLOeMw7aAnj1r4FX6sG4TgWmYcBwDjuOi4BRhGB78wEDeDtDSUEIhX4HPOLYeymP9DhsNDtBWBxRygBcwmNRAe0se+VwerU0UtuVj7QaGpsZ6LF22AIV8OIyG65GHPLfytZztWy3jZqG5+cJVnuf2OXWtJ/oVvibL/wC8Shk/rh0A+gCsBIB9+/YCwF9cL2hnjDMCHy+WN6A42AcvIDAMA0HAvVmzT7+l4PRe9OctvZ7j1KNjgo8J7X3Y1edhl1eLqy5zsWqtiX09BXS1EEzv5LCcQWx5ucXq6qy/b+Nf1t1SyDtWTZ4j4AFsp4DuGbNQk7MAEMo43Qdga3v72BP9il4X5X8APsoiALVV/GWW9S+sBgd5n8Fog085z1uNKNQGKNQRuP0Mg14z5nUPYP8gwGgj2lspuiYGqClQDFbayNTJY/snd03ct2zpWVq7n7/lYyf68V+35b8AzXhvTUcnpNoAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTc6MDI6MzArMDA6MDAp5hVpAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE3OjAyOjMwKzAwOjAwWLut1QAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 30441139
{'hecke_orbit_code': 9007474166202690, 'n': 1, 'trace_an': 8}
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id: 30441140
{'hecke_orbit_code': 9007474166202690, 'n': 2, 'trace_an': 4}
-
id: 30441141
{'hecke_orbit_code': 9007474166202690, 'n': 3, 'trace_an': -1}
-
id: 30441142
{'hecke_orbit_code': 9007474166202690, 'n': 4, 'trace_an': -4}
-
id: 30441143
{'hecke_orbit_code': 9007474166202690, 'n': 5, 'trace_an': -3}
-
id: 30441144
{'hecke_orbit_code': 9007474166202690, 'n': 6, 'trace_an': -2}
-
id: 30441145
{'hecke_orbit_code': 9007474166202690, 'n': 7, 'trace_an': -1}
-
id: 30441146
{'hecke_orbit_code': 9007474166202690, 'n': 8, 'trace_an': -8}
-
id: 30441147
{'hecke_orbit_code': 9007474166202690, 'n': 9, 'trace_an': -7}
-
id: 30441148
{'hecke_orbit_code': 9007474166202690, 'n': 10, 'trace_an': 3}
-
id: 30441149
{'hecke_orbit_code': 9007474166202690, 'n': 11, 'trace_an': 6}
-
id: 30441150
{'hecke_orbit_code': 9007474166202690, 'n': 12, 'trace_an': -1}
-
id: 30441151
{'hecke_orbit_code': 9007474166202690, 'n': 13, 'trace_an': -2}
-
id: 30441152
{'hecke_orbit_code': 9007474166202690, 'n': 14, 'trace_an': 1}
-
id: 30441153
{'hecke_orbit_code': 9007474166202690, 'n': 15, 'trace_an': 6}
-
id: 30441154
{'hecke_orbit_code': 9007474166202690, 'n': 16, 'trace_an': -4}
-
id: 30441155
{'hecke_orbit_code': 9007474166202690, 'n': 17, 'trace_an': -15}
-
id: 30441156
{'hecke_orbit_code': 9007474166202690, 'n': 18, 'trace_an': 7}
-
id: 30441157
{'hecke_orbit_code': 9007474166202690, 'n': 19, 'trace_an': 1}
-
id: 30441158
{'hecke_orbit_code': 9007474166202690, 'n': 20, 'trace_an': 6}
-
id: 30441159
{'hecke_orbit_code': 9007474166202690, 'n': 21, 'trace_an': -1}
-
id: 30441160
{'hecke_orbit_code': 9007474166202690, 'n': 22, 'trace_an': 12}
-
id: 30441161
{'hecke_orbit_code': 9007474166202690, 'n': 23, 'trace_an': -4}
-
id: 30441162
{'hecke_orbit_code': 9007474166202690, 'n': 24, 'trace_an': 1}
-
id: 30441163
{'hecke_orbit_code': 9007474166202690, 'n': 25, 'trace_an': 5}
-
id: 30441164
{'hecke_orbit_code': 9007474166202690, 'n': 26, 'trace_an': -1}
-
id: 30441165
{'hecke_orbit_code': 9007474166202690, 'n': 27, 'trace_an': -10}
-
id: 30441166
{'hecke_orbit_code': 9007474166202690, 'n': 28, 'trace_an': 2}
-
id: 30441167
{'hecke_orbit_code': 9007474166202690, 'n': 29, 'trace_an': 12}
-
id: 30441168
{'hecke_orbit_code': 9007474166202690, 'n': 30, 'trace_an': 3}
-
id: 30441169
{'hecke_orbit_code': 9007474166202690, 'n': 31, 'trace_an': -8}
-
id: 30441170
{'hecke_orbit_code': 9007474166202690, 'n': 32, 'trace_an': 4}
-
id: 30441171
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