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mf_newforms • Show schema
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{'Nk2': 686, 'analytic_conductor': 3.220757170677914, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 6, 'char_parity': -1, 'char_values': [14, 6, [3], [1]], 'cm_discs': [], 'conrey_index': 3, 'conrey_indexes': [3, 5], 'dim': 8, 'field_disc': 25390897862086656, 'field_disc_factorization': [[2, 12], [3, 4], [17, 2], [16273, 2]], 'field_poly': [294122500, 2401000, 4838750, 29260, 62091, 282, 285, -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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 206275870734, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 576, 'hecke_ring_index_factorization': [[2, 6], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 4, -1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '14.7.d.a', 'level': 14, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '14.7.d.a', 'prim_orbit_index': 4, 'qexp_display': 'q+(\\beta _{2}-\\beta _{3})q^{2}+(-\\beta _{2}+2\\beta _{3}-\\beta _{6}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '6.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '14.7.d', 'trace_display': [0, 0, -336, 652], 'trace_hash': 1049738800090167210, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.801', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '260.139', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
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'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 3300562030403750, 13202248121615000, 106489495000, 52808992486460000, 7544141783780000, 52808992486460000, 52808992486460000], 'hecke_ring_inverse_denominators': [1, 12, 6, 6, 6, 6, 6, 6], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 6, 1, 0, -4, -2, -2, -2], [-849, 849, -53, 54, -3, -2, 3, 1], [-1911, 0, -143, 477, 217, -143, 434, 286], [0, -139071, 15064, 0, 2274, 427, 1137, 427], [644823, -644823, 108841, -132588, 45681, 47494, -45681, -23747], [25540707, 0, 130311, -3745254, -329029, 130311, -658058, -260622], [0, 180033087, -25496068, 0, -19227378, -4421299, -9613689, -4421299]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [4192507708849250, -14874332445000, 53809403263525, -195625686972, 189328804101, -3763944460, 884171859, -10737582], [167841880378945500, -1819725640383000, 2154193159086150, -7831633340232, 14474316021931, -150684878760, 35396730954, 512915233], [846958238000, 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-
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{'Nk2': 686, 'analytic_conductor': 3.220757170677914, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 6, 'char_parity': -1, 'char_values': [14, 6, [3], [1]], 'conrey_index': 3, 'cusp_dim': 20, 'dim': 8, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 206275870734, 'hecke_orbit_dims': [8], 'label': '14.7.d', 'level': 14, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 28, 'mf_new_dim': 8, 'num_forms': 1, 'prim_orbit_index': 4, 'relative_dim': 4, 'sturm_bound': 14, 'trace_bound': 0, 'trace_display': [0, 0, -336, 652], 'traces': [8, 0, 0, -128, -336, 0, 652, 0, 756, -2016, -1356, 0, 0, 2064, 27144, -4096, -17304, -6816, -32004, 0, 9756, 25248, -4128, 10752, 4664, -4704, 0, -7552, -30312, 9648, -3108, 0, 3276, 0, 98028, -48384, -6124, 155568, 100764, 64512, 0, -315936, 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mf_twists_nf • Show schema
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id: 9536
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '14.7.d.a', 'source_level': 14, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '14.7.d.a', 'target_level': 14, 'twist_class_label': '14.7.d.a', 'twist_class_level': 14, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 7}
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id: 9537
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '14.7.d.a', 'source_level': 14, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '14.7.d.a', 'target_level': 14, 'twist_class_label': '14.7.d.a', 'twist_class_level': 14, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 7}
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id: 9538
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '14.7.d.a', 'source_level': 14, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '98.7.b.c', 'target_level': 98, 'twist_class_label': '14.7.d.a', 'twist_class_level': 14, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 7}
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id: 9539
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '14.7.d.a', 'source_level': 14, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '98.7.b.c', 'target_level': 98, 'twist_class_label': '14.7.d.a', 'twist_class_level': 14, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 7}
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id: 9540
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '14.7.d.a', 'source_level': 14, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '98.7.d.c', 'target_level': 98, 'twist_class_label': '14.7.d.a', 'twist_class_level': 14, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 7}
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id: 9541
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '14.7.d.a', 'source_level': 14, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '98.7.d.c', 'target_level': 98, 'twist_class_label': '14.7.d.a', 'twist_class_level': 14, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 7}
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id: 9542
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '14.7.d.a', 'source_level': 14, 'target_char_orbit': 19, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '112.7.s.c', 'target_level': 112, 'twist_class_label': '14.7.d.a', 'twist_class_level': 14, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 7}
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id: 9543
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '14.7.d.a', 'source_level': 14, 'target_char_orbit': 19, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '112.7.s.c', 'target_level': 112, 'twist_class_label': '14.7.d.a', 'twist_class_level': 14, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 7}
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id: 9544
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '14.7.d.a', 'source_level': 14, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '126.7.n.c', 'target_level': 126, 'twist_class_label': '14.7.d.a', 'twist_class_level': 14, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 7}
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id: 9545
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '14.7.d.a', 'source_level': 14, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '126.7.n.c', 'target_level': 126, 'twist_class_label': '14.7.d.a', 'twist_class_level': 14, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 7}
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mf_hecke_charpolys • Show schema
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id: 57250
{'charpoly_factorization': [[[1024, 0, 32, 0, 1], 2]], 'hecke_orbit_code': 206275870734, 'p': 2}
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id: 57251
{'charpoly_factorization': [[[253716712209, 9012254076, -818090820, -32849712, 2867193, 0, -1836, 0, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 3}
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id: 57252
{'charpoly_factorization': [[[1371441237350625, 204937521012000, 10754919097650, 81713862720, -364731309, -4961376, 22866, 336, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 5}
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id: 57253
{'charpoly_factorization': [[[191581231380566414401, -1061725665837612748, 2717542963895536, 2551800692252, -22403294018, 21689948, 196336, -652, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 7}
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id: 57254
{'charpoly_factorization': [[[5740439013333948971662209, -5946472452004675467408, 15501377592624706020, 3179018576065752, 16171038645777, -323089776, 5737644, 1356, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 11}
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id: 57255
{'charpoly_factorization': [[[7658847082626819820683264, 0, 30292149002634860544, 0, 35596062690192, 0, 11814792, 0, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 13}
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id: 57256
{'charpoly_factorization': [[[12347593056060980349267441, 162394199878336780686696, 677560509684383390442, -452027481329314800, -167383058561397, 169251289200, 109590522, 17304, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 17}
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id: 57257
{'charpoly_factorization': [[[4732212162852907665080625, -314197316770088880702000, 6764741502461790200100, 12549737079271183680, 9092680126660809, 2780792099568, 428307564, 32004, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 19}
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id: 57258
{'charpoly_factorization': [[[1162613841381006370557435847809, -1199632462860495995715887748, 1441326366961310286242604, 201074086788890778288, 39133230946082001, 1446081368184, 205769700, 4128, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 23}
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id: 57259
{'charpoly_factorization': [[[-149309022972236256, -30685421801088, -1376156916, 15156, 1], 2]], 'hecke_orbit_code': 206275870734, 'p': 29}
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id: 57260
{'charpoly_factorization': [[[1257942279938937395638456344054321, 1328598058800928133780518663728, 369793844569110702593609892, -103448419547461094530368, 7629769247246864073, -8583049430928, -2758379028, 3108, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 31}
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id: 57261
{'charpoly_factorization': [[[2313786865627337490509123819144748961, -140545162240420863110161966721780, 20423882322718572876993309754, 703404377271328057778608, 60111922897839710467, 136936140740656, 7852054042, 6124, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 37}
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id: 57262
{'charpoly_factorization': [[[504248332036682564705904480821427830784, 0, 617849518276262501260076924928, 0, 205531531696085391504, 0, 25142408520, 0, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 41}
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id: 57263
{'charpoly_factorization': [[[-56792045606899407248, -1875564166219168, -9110490096, 148688, 1], 2]], 'hecke_orbit_code': 206275870734, 'p': 43}
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id: 57264
{'charpoly_factorization': [[[12130939702599915013365760192751983115841, -692771609767173719551718206116656664, 14791250763819764666567908566156, -91583267367774608156810016, -336002878951505068527, 4570625705434992, 18285678564, -313908, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 47}
-
id: 57265
{'charpoly_factorization': [[[5069804657715000526271625826022295063009, 179739303929798250136474608185984652, 6291158269328673017405555263194, 42533566736971088225203632, 633083123146556888163, -5365956618649296, 76414022010, -278484, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 53}
-
id: 57266
{'charpoly_factorization': [[[2726664002676049296221805981879655264449, 491694452307893545654839090428986452, 27799041469861515446495042918868, -316731990966065458959681072, -1438681659846750641007, 28102190649186528, 266303325084, 835464, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 59}
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id: 57267
{'charpoly_factorization': [[[35959472462498941471290657744266082005841, 2963763785543972016645676230923093436, 103290027598047895307533769250258, 1802185616441705149558093176, 18291830946967411671627, 114768729398241576, 445526815938, 995316, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 61}
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id: 57268
{'charpoly_factorization': [[[498757762394687062724324967785123206021969, -13579781733239738294295313406246486860, 406748859351152734937313967870900, 91247577015481565262212192, 15928106133732272670073, -72457491539672440, 368547618364, -648808, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 67}
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id: 57269
{'charpoly_factorization': [[[5698013487169421030256, 53167006183185216, -292123619280, -95064, 1], 2]], 'hecke_orbit_code': 206275870734, 'p': 71}
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id: 57270
{'charpoly_factorization': [[[7999898773958665070751880867370647961525889, 30063244712235344670799778474825739972, -493284601824976644578630373957606, -1995260254414806891198970584, 32337116688588955525107, 303555793112218584, 1059371565978, 1617084, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 73}
-
id: 57271
{'charpoly_factorization': [[[83209897004741049258303251450655919080030625, 698838310210294985848807957932486015500, 9486030637772458249011044591165500, -29097182721132421293468456880, 153459155131348836084769, -125428369622529832, 401411873044, -70096, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 79}
-
id: 57272
{'charpoly_factorization': [[[341463615431161076041285469845944718599389184, 0, 21065149686224554200269976817336320, 0, 336468804085758079478016, 0, 1103755415712, 0, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 83}
-
id: 57273
{'charpoly_factorization': [[[116455540344026767883394868963735343898448401, -2134790299155295548648958743435485898468, 15287852858851258509654546027328242, -41122866789191693884043082312, 5266797913926753244011, 153645853209917544, -25780373982, -739116, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 89}
-
id: 57274
{'charpoly_factorization': [[[1124615402806765696246065606328077989666881536, 0, 1059527660507357560087320975134564352, 0, 5136600411528332806934928, 0, 4399256051592, 0, 1], 1]], 'hecke_orbit_code': 206275870734, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 1, 'label': '14.7.d.a', 'level': 14, 'portrait': 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xchND7GWnatj+j0Us4taCYaHlesT9i8pku9FiKkJYoErV6V+ZbPRE3gSY9zF32OnBWcuJBwajEhqPZ4yy1d3n0bBHKcgyebnJpTnM+Ze95yZMHyumvm+acfXWb9xDgnz01yfrHK/LLH/LJkuZ2w0k44fiEhSlNmpxqs3zJrrtpyxaebtebHoyRq/9gPfde3GxJ/rsdfaYAP+m06PYvv8bOHjx16/ac//yfS2vOv/zvvPaU73RnavRqtrs/8csBiy2OxBUutlKVWzOJKyoUVOLoomJle4ad/YJFbd9Q4PTfJuYt1zi1o5hYtFxYSzsynXOwkjE8OeMN1XW7fBb6sEqiAuaUK5xc0F5YEvRCSxFDxDfVKysRYggFOXkhod2HLGo96NcRaAcKn2zdsXhuyuKKddEo8VroQJmCxLLUiNsx6dPoKoSzChDQrHpvXDVjpCU6e06RGM9WUNCqCwIMkEfRCyYUlyflFy9xyQhAMwEu4Y3eX118jmGlWWVxucnou4NwCzC0kzC0lnF2Co4uW1+1e4F/8wDJrx5ucujDJhcUq88s+Cy3J0krKcjtmuZWw0IaVvuBiD5Y7fX7+x0km6tNP3Hr7B8269bue0Mr+1CBWTE40vt1Qec3HX1kNfviVT7Jm4+389D/7+z/z7NNP/B+/+Ydfv/JPH1/YevB8X9574wrb1ycYozDG6WprBVgJSEAghEULiy/h3GKVZ45Irtu+xK5NA2oV8LTE9xS+r6lXJTVP0ut6HDxR4WvP+5y8GNJOYg6eDlkztcR73rDMdVd2eN2uFicWEhZ6glow4Ng5S6td59orJCuDlP0nFI2a5tWTcNV6yyBKGaQ+WsdMNODA6QClUzyZoD3oh5Jbd/Xo9yTXXZnS7qecPNdg21pFvRaxElpmx3ssd9t8+iF48XjKy8cHbFm/yPU720xMRrzrjg7fc7dl+9oGaTzO8bNjHD3jcfqC4czFmDMXU45eFJxaiblhxzw//QMd1oyPc/rCJHOLNeZXfBZbkuVWSqsTs9JNWe7CSh8u9BTzrZQbty/wse+Yk9vW9LfuOzi37fApc9v07MbqmtmJr//ib3yer/7pH327IXPZx19JBv/Sn32JfSfuVW+87tP/T69/5B9fOH9BPfKsx2N7FUeXBbs2XeTf/OgcN26vMbc4wWKrxlKrwlLLY6mtWe7AcitluZ2w1ElYaMHpZYGuDrjzmiU+fHfEttk6K90mF5eqzC/5LLQESy3DYsuw3DG0+4Z2aOkNEqaaMZvXGEAQeJYzFz2EDNgyq9i23rJ+tsfccshLhxvcfJWlVl1m75FJGvWIKPKYmjD0B3D15gF/8NA4OzclhKFlekwSp30alYBXTwyoenVu3JHw8rGIuUWfDVMB29bB5rURSsWcWQDfswhh2bImYaIh6fQDuj2Pds9jqa1YWoHFlmGplbLQSrnQgsVByuYNXT58zwJ37tJUvCbnF5osLFdYWNEstQXLLcNKJ2a5k7LStSx24UJHMbeScOuuOX7uby9yxbom5+anePi5Ks8djtm4dVu6acOVP/MTH9j9L77y2In0O9793m83dC55/JUC+KceeAlkrWrCg5vHk7Mf2n9o4V/+2SMnqNQ6SBtwbj5gris50065+Yo5fulHF7n+iioXlydYXKmx3K6w1PZYbmuW29DqGFY6CcudhKW2Za4lONe1ILq8/40t3nWr4Yp1FaKoxnKrwkrXp9VRLHcFnZ5gEFqixJKmoKQl8KAaWMabltnJGO0NOHo+4pUjASap847bIrS3wnP7x9i6Dr7yTMIbrw242OpT0YokjZmcgCT20F7C4mKNN9zU5itPNti2DvYcDvGo8fZbDYno88rRlONnKmjps2ZCM1EXVAOB7wuUgMRAFFsGEXR6lpWuodMzrPQMi11LP03ZsrHHu25v8f7XR2AaLK6McXGpymJOBi1Y6aS0ugkrGbiXenC+rZhvp7xuxxw//6MX2b25ysWlCVY6Nc4uGBA9hGlyYn4HMpj8J+95z9Qfb9u07RQM+kK88dsNpeLxVwbgp04eYdPmDf4ff/nlH355//O/ctX4cyId1OWz++D4+YTewBCl0BkILvYl5zsxt155kZ//2CI3XVlhYWWcxZU6y+2AlY7Pckez0hG0OpZWN2Wlk9DqGpa7losdwfmWYWK8x1tf1+GOXQlb1iiaVY92p0LgSUARJRJjBMZCbwAIw0RjwOGzFmMjHtxTJ+xVuXKDz53X9YjNCo8+P86NV3kcvtCltdzk9ut6fP25gDWTlv0nLX/nfW32nwhYMyn52vOKO69WLPXaHDs9yY07Ih59pU8S1rhjt8/2TQP6SZcHnlOQCo6e0TRrGi2g15cYK0iNJU4AadC+odW11Bsxm9aFvP7qHm+9OWGqXmFuaYzFlSrLbXdultuCVhdanYRWN6HVTWn1LEs9yYWOYKGTcNvOeX7mY/Ncv63C/PIYrW6NTs8nThXdnsfRMx5PvZpQGxuY//Nv77Dr1tz04/tP3v3bU81j0dVX7/x2Qwr4K5LoCUMjo7D3nq9/9YtXLpyJfuFPv/yMevPNMddvqzLW8Fg3mbLShe7AIgUIDAKPZw+t4R/9luBnPzbPzdtTfJ2gVQPfM/ieT+BrKr6iUtHUKopGLaFZS5lqGNaPCea7De77ZoMvPBJy/VV91k6mdHsD3nl7yNa1hiSVaGmJEnjs1QqnLlZYN2HYe7QCZpJdGxU33WgIKh0e39djfmGMa7bWSMQy5y963HIVnLgQM12vMDMJwQVNbxAwt6TxtMfW9S32HZ/kpqsDjp9rc+rcOO++PeVia5Fn9o3z6ok6r9tZ5fvuGYDs8tJxw+xkl7n5mEdf8hjECi1BG8vWdRFvvT2i01WsnzDcdBVEUZ2lVo295wNWuh7tnqLVlbS70O6ltLspnV5Ku2dY6VmW+pKzbUGrH3Lnjnl++m8uc8MVVeaWxmh1qnR6AZ2+R6ev3SrZESgFV6zryPnjz3D+7PR/OHPxc7UbvuvdR0ySfklqZb7d2Pq2A/zYuR5n5js/0Jn75i9HnVcmzxzrceOWBhcuQl17SCGoVRSpsQhhkMK6Q1qk1Dx7aA0/9Rua9925xEfetMS2DREXFpsEfpVq4FMLPOpVTacqafQ9xuqa3iCl209ZExr6oaUzCFiar3DmtCVKDGcvJASBBQS+smgp6PUVAo+kp7lhq2D7esvmDT3CtMP9zyoOHJngbTcH3HT1Mr9zv8UXNbZu6PHyk4oN44rpZo+KqhLFHhc7UK9oNq4RvHgg4qYdVe6+cYFP3tfH9xq85TaLF/T4xjMRX3m6zr7jVa5YX2PrupSZiYht0zHXbk1RyqCVBSy1IGBmPCCKPTo9n72HPboDTa+v6A4k3b4jiG7PffdOP6Xbt7T7lpU+zPcUc8uW2liLn3jHPN91Z8j1V9Q5v9Ck1a04cPec49PpK7p9ibGwfYNm89QMB05ITp1/2TvbHv/l2XXTS2+59+a/b+3yJ4WY+J8X4P1+DyHE3/rSA8/87N5X/nTyXTcvsGvbJhr1gG4fQGCsJfAlqVUIQQZwg5IWJVN8KXn58AwvHKpz+NxF3vf6Lq/fPWC80WSpVaPertDs+3R72l2YgaQ/0PRCzSC0DCJDFFvi2JKk7ogSH2tAKoGnBRVfMN4QTDRg7bRh45oe0xMtvvocPPaChzRjvO1mjxt2dXh8X0w0aHLnDYJWv8/FxTp37DBMj/eo6oBBophvxygjuGGHptYIef5ghbtuGuP26zs8f1CBHePm3T4/8u4lvv5ixNeerbP/VIXNM4q1k1UmGjXGGlANwNMWJcFY2H9ckKaCOBFECYQx7juGKf3QMAgNvYGhFxq6fWiHMN+VXOxAaAa8+cYl3vP6Ft/3FkOSNLmwUKfdrdDp+3T7Ht0M3L2+oB+CsRZrJAdP+vQGKWcuRrx48iRXbTo/uWk2+ddX7niT7vf6v1GtVf/nA7hNl0CmP/KNbzz5s1//2kOze4/FCGN50w19rFWsdCWDEMJYIFAgBFKQgRuUsmhl8ZSh6gkWelU+9dBGvvFCmzdeu8JH37zCtdu6TI3XWFyp0ekH9PpeBmzljkgQxpI4ESQJpMbiardcUKk1VHyoVQ2TjZgNsz0Suhw+G/PpRyscO11nPKhyy27NHde1eeZQiwefanLbVRU2r+vxBw8JlAhoNmJWuiHGghIw0+zR7viYpMp73niRT32lxva5Cu+6rUcUL/LoK1PEaYVbd8/yrlvaXLWpxTee7/Hy6RovHffZOCmZbApqgcD33E0oBQhhMRaMscRJdrPGljB2N/Iggn7k4pjlULDUAaEH3LhzhY++dYU37k6ZalZZbtcKSdIdeHT7w5WgF0r6A+iFljA0REnKIHTB7al5y/vvXeH6rVVeePax2VZb/+zWq+60p84s/+bmjRP/cwD86/f/DtKf4uGHHvlB7NwvdBb2TW+dNUgaTDZCPJ0yVo8BjackOpQoIZBCoqRGyhSlRLY8GzxlCbSlqgXLA8Via4LPPFLn6b1d7rx+hY++ZYUbt7eYSqskSUBvUKHb9+iHmihWxIkkSSWpERgrEDgJFPiGWiUh8CN8L+TsYsh9eyRHzvgcPzOBMgHb1/lcvU1x8642KpjnlaMNNozXuOYKWDuzzFK7ybUbJImxfPXZgLAnGa8nvP3WAV96NObUhQY7r/Q4vzLg1WMem9ZMcP22eR5/ucOTrwrCyGfXtkl2bQrYtbHD0fNLHDkLzx6ocfhYnZoWBFpSDywVD6R0roG17mZNUogSiFJBNxS0B4J2DJFJMHbA665q89G3tnnjtSnrJgMGgzEWWxU63YDuwKfX13QHit5A0Q8F/YGkH7q+0UGYOo8/MvQzgMeJYHmlwv6jTY6eafHgngdm77rzzC/Mjo8lb7xe/M5DLxnR72PHav/9vI3/rgD/f37xk7z5HfN846vm+57be+HffebBw+PvvavF66+d5LqBz3izSpIKqkGCMQIpbMbWAqkESimUEmhl0CrF0wJfG3zPEniWmp8yXhF0Qo/l9gSfe6zJQy8NWDPR40P3tNi1acCg3+WabZZNaxVh7JGmitRIbA5uafB0ysk5y/ELgpW+4YuP1zi7MIGNPCYqivVTmi1rNVdsgGu2tzFygU98qc7S0hi37dJcs73FN14SiMRjdkJSryX0Yh9pJViJ0j6tgWBuSbDb1rjn5g5PPF9l/bTPbddM8jffvcBvf6XDswfrdAceiysNtq2vsnNdj1t3dPjuuzqcW1rii48HLPYCTp73OHvWx1MCKSUik3apgdhY0sQwMRVz3e4eYRiza1PIB+4JmR1TTDYC4rjC+fkKvb5PL3SrXL8AtnTgDgWDELcShA7YYZQyCC390NKPwJPw4v4xjp8U9OKU2244yc6pU9P7Tl/3S//+Dw78E2v4EWvCx/57Yu6/C8DD1OJJlMDM/sK//927WyvHfn3j2Knaj7w75crNIRumW/TDCqmRJKmgEqRZulshJUglUVKilUCr7FkLPJ3ia4HvGSqepRpbapFlrJIyURX0IkknqnP8TJ2f/8NJMAkiSbj5uh7b1kYkCRhrsNYlcaRwN5L2fA6e8tl/pEK9omn4kumaYGZKMjupWT+j2LIuZeeWFVKxyL//fJOTp8a5bYfHrq0p/aTDU68EjFc9psYs442IWtVJIWMkrYFiqWtZbKW0ulXecM0Ke/b3OHBKMd6scOvucT72nkX+4xfg+SN1un3LSkczt9Rk7XSN2YkBW6YG/F8f7NGstXj5OBw8LfE8i1IuGAfr/mchSWDr2pQ7r01IY484CbC2xiDyuLDg0w/dijaIVCHf+pFgEAoGkWPtMHJZ2TA0hJFhEJvsd5Z+ZBnEEBtIUugsQSuW9Pc3mV8UCHtkZuP6P5rxom3brr/l+775yd//lP2hj37kfxyAd1aW8Pzq+vbK2ee3TV1o/v4Tc8GLOuKf/OAi113h6jg8LyWKPaJYI4V1AaW0LphUKtPbEk87zel7itCThJEhiFLC2FKNDWFsiCJLM4EwNoQJRIlgEEvCNCBOKxw4UuelA5Bai4O208aeBF+5mo9GANesg2YVxuqSiYZialwzOwmb14asm1khtkv8+8+PcfTYGDddobhio2T7xmUefjVhbnGMm7dJJpqGit8nkAFWCZJUIqwlSSOWuxXmFj1u2lXlhh0dHn++wpoJQa3S4KYdhp94/yL/7guGV882WOkaVjqK+WXN9HidiWaVieYYzVrMTD1my00RgZfg6QSlUqRwwYTF3VRxrLg4r4kTRZwoolgRxtlzJAljSRhJBpEkjIQLUCNBGFnCyJ3XMEqJokzTx+73gwgGsaAfu+dBIugkgpUQTr2qsYMuP/nRDu2Lls/vq33il/7DH/alWv/5X/n1T6c//rEP//UH+C/+x8/yq7/7pBqrLr5htnmsOVN7Nbj6ijH+3Z82sLLD//dvddi5IcHTVXqDCp7y0NLPXBKNkhZPWTyt8LTFiyS+J9xF8AShr4hiB/Q4tkRJ6lyRpHSkkKSWNDWkBqe3DQW4hQAlXTen50GgBZVAUAsk9ZpirCaZGBPMTiZsWdujUV/h809EPPrKJCsLTa7brNiyzuOqTQNSscJXn61R9zQzE4pGbcArR2HfMc21myy9UHH9VTHXbbdcOJ8yv+zTH9R4xy0dvvlyn8NnFfWqJPCbXHuF4V/84CKPvNrnS49Ms9i2bJlNWW5pxpuKsbpHo+ZRr1oqgSHwDYFO0cpJLSndNbAWl7AygiRbJZNEECeSKBHEsSSMnfMSxYIotkQRhHFKFBuiEnGEcfkYgrsXCzqxpJtANzLYuM+Nmxf5xz+4zJtuaPAfPqP4sycPVt577+D3rrzO/tCubdOffesLn0533fSXC/K/dIBff+WKjOPFjxw5tvCrf7bnWLBzGzx5NGZg63zpqRni0PI997T54L1tJsdiur0KSqUonaK1h6dTPK3xYk2gFQPPMU3oSSJfEMXCXZxYEScQxdI5CMnQ9ktSQ5o6dyG1mVOSuSVCCKQEJZ3s8bUg8CWVQFKvCpo1y3jDsGYyZGaiQ2JX+Mw3Jb/9lSlmKxWu2yzYvM5j63rDlnXLfP4py9JShV1rFRNNaNRi5k5ILi4H+NucKzQzJhkfh8PHLcttw4WFCldtrfCmmzvc91iFqQYEvo+S41y7XfC333URT17kzx6fYN/ZCmvaMbPjCWN1RaOqqFUl1UAT+BB4oLVzmJzrVAI57sZODaSpIEnJgA5x6hJacZw6UogNUf4cm8x2zF2ZzIJMBP1Y0I0F7UTSiQ3RIKYZdPjwdyzwwbu7vOkGRRgl3Lx7nuWwwVRwuPLyAf3rx+esVlr9EY5n/noCfM9TXyFN0x98as/zv+SlZ5o+E/zJ1xvMd2GmIWhFNb66Zy1P7a1wYXmBv/PdXSaaMZUgod1N8VSCpz087eFHKZGn8SMnTaLYpdId4wjHRBkrJQnEKaSpcxKMcQGXMTbv4czA7QDuAleBpx1AKgHUKoZGNWG8kTAz3md6YoUnDkT83oNVDh4fZ+uYx/a1sHGtz8Y1sHNzm17S5pn9TarKY2ZCMd6A8UbIxFiC72uEcDdXP/RZases9CytbsLFZZ/NaxvcvusiDz7b4+DZJrUgxlM+QoyxfYPi+9+ywOt2XuT3HmzwzN5xFrua2WbCeC2hVpFUK4rAEwSexPNcrKIUmX3oUG5xPazGUAA9SU22umXWYmJIUgfuJIYoscMjdq7MIHGk0osF7UTQSWHQTzBJn6lqhx//nkX+z4/0qPgBK60G/bDCzg0+s40aLxxo8Pie083bb7L/fmr6Wv+PPv2l3/7eD7/nrx/Aj51uI4T6W8un/+Bnx7xzU31TZfsGTRylHLuQMN+RSCQrzSqtgeSX/thj/9Fl3nNXl3tu7LBmOqTTqdIP/Szt7hFGmsB39l4O8DiWRIlbduMk87RTMuuPjLld1q0At0tSZswNWrmEie9ZKr6hWkloVBImmiHrptvMtXr8yhc9vrpnkqXlOlfOCDbPCjbM+mycFWxbP0D7K3zqUc2x03V2rJFMNCRj9RQpQ87OWwItkQKsFUSxZstsm2dJafcUy23L3FKVHRsrfPc9LT77DZ8TcwGejhHCw9g6cSK5edsyW763zVef7/EHX53kuRN1NkwIpusp9UpKxRcEnsD3XKyiFS5wlqIoOrK4m8xYl6hJUwf4HORJ6iSdAztEqat1ifLkUSLoJ9BJJJ0E+pEh7UVsnG5z903LvPfuHu+42aBFnaWVKoOwQrdfYbFV4+iZOkfOgLKCx545N3XzLRt+4R/8nQ+oj9iV3xDiL6fn8y8F4MsrK3ie+puPPPbYzz74yAuzb71pjplGnXMLFY6c8bBGUNGWMWMRCFoEtCPNpx4OeOTlDjftavO9b+7zrttbTI0H9AcB/dAn8DyixAWieaCUJIo4lSSJJE4FSSJJU0FqxFBrG0GhSixZRtQli1SWLPI9Q+CnVIOERjVkerxLP+7zjVcsn354jGf2jjPhe1y7wbJuUrJmymf9jGTjmogrNizz8ok+X/zmDGNKMzMmaNYFzVpMq5fylacqNHwXOBsL/VDznjtDvvy0odWztLqGi8uajbMN3vf6Ls8c6LD/sE89SFBSOJCbGoPIaf3vf1OLHesu8qlH2jy5b5xTy1XWNgVjFUvNN1S0wfdAK4GS7kZ2TA55fZ3JpJoxwxUuyYDuCALiVBCnGbBTF0D2EkE3xcU8UUS92uN9b1viI29pc/OOlDWTHr1+nZVuhSjyGYQ+YawRQhAnEXtPGM4uWsbGu7wteGJ2zzNrfvaGG+82ve7Sb9Xqk3+1AR4O5llpCWoV9QNfeuCJX/xPv//A1EvHIr66p8a772xj7YBnDk9Ty058xbMILFoIOkrR8+qcaQece7rG0690+ex1HT7wpj5vv3PA5LhPFAaEiUcUe8SJJs6AnqSKJM0SNukQ4MZmzG2GiQWROTRKujoOrQ2+lxL4MdUgolHtk9Ln689L/vChcfYeH0PEAVsnLOvGLdPjiplJn7XTkvUzMZvXtjk93+E/f6lOElbZuFEw3tA069CsxQgvot2vM96wCCGwFuJEMhkoEpPQiX06vZTltuLsfJXdVzT4+Heu8At/FHByvo5WcXZjaJKkwiCSrJ0KuPnKNtdd0eXVk2f59MNVHnxunHOtKvVA0fCh7ll8bfEUaOnyCUKMlo8awBp306VGkFpIUuH881QQpS5J1E8F/RT6iSVJEkwcMlXp8443r/ChN3d447UxY1WPKK6zvBIQxn7hiEWxJk0lnk65dXebM0sDrEz4jjsSJquKpaUvzh7ar35xzabXJ2fOzP1upeYxPfkXB/S/UID3+wOq1fp7L575+n+MFh5qbmompGsD5ts+f/KNBkJAkAV1MgObyhwMP4WKEvSUTy/RXAwr/NnTdR7d2+PWr3X5u9/T4erNbWbHFc2aJop9osQjSYYgT3OAG4mxEmvJun1ycGepfmVdskgnBH6CpyLa/Zj5dsy//XyF4xcneH7/ONb4TFUFs9OW6THBVFMxNe6xZkqydiphw0yPqfFlvvqC4bl941y3UTDRkDRqkmbNUK9GCC8kCDTaVRu4LGMq6Yea/iAmMYJO39DpWpbaHhcWm9yxs8vtu1f41NcqVJcUWsYOkFaTpD5RLOmHHtPjFV63vcvrruzy7N3nODkv+b0Hx7m4UuPMYoCvJHVP4OcyTObVmGQpz0yq4Jg8sYLEQGwEYQqDBCJjIU0giZEqZP1En+u2uOtxy9UpzaomSeq0Og7YcaKJYo8kUcVKm5o8BvD47rssEJCkPsfPVTl0QvPSn31t6i1vtf/xO996x3K70//iXyQm/8IA/sDjL1Of2Kg++8efuvL8mb1NX7S4bvsEgWeYWo5p9VyAktsXLp0MnhRoZfETS5AKakrQV4KeDuinHotRlQefG+OJfX3qQcgPvbPFxqmErev73HFNBy1ci5gQTq64rKSrlba2xNxYhLQo4TxzSwIy4dXjkj0HNPc90+DVUw2ipEZDK2aqlsm6ZaJmnQ/e1EyOaabGBWsnE9bP9Fk3s8yje0M+cd8s68Y1M01o1hXNuqBRS6gGIU8cUgwijVd3oLJWECWSilbcuKPP06+Mu8KnfspK22NhJWBuYYKPv2uOMwuLPP3iDJ4ERIwBkgxAYSTp9jUTjQrjzTq37+hx93U9vvfeeQ6cNnz5mQrPHKhy6FidRGjCUNGLFUpIhBCrAs8sJ2ANibFYY/BEypgfUSHm9pu6bFs3YON0zEffHlL1JfWqRxTVaHX8bCXVGeGowmt3xONWVIsbviSoEUWSla5mbtHj0KmEbr/N6SNPNR/T81e+6z1/Q9n4mVR4t/3VAfihg/u5ascG/w+++NQPzy23fmmiuoBJx0hTxcykRGAJfFeUE6eCNHW1Em4ptOgUEinwjSVILRUlqKWC0MAg9einHr20QqeT8oufmsAmMWtmBuzePGBqLOEDb+qzeTYijkWmtyWUmJtMf0ppEFLwuUeqvHy0jtCak+dqnJ2rUakqxgLBeN3SrBiaFWhUBWM1RbOhmGhopsZhejxhzdSADbNtUrvC577ZpN+tc9VGS7OmaNQkjaqhUUnwvIivPl0h7Em8Wbdq5RKlXlW849Y+j71g6IaSbj+l3dOsdDQXFmtcva3BB97Y5vlXa5xcaqCkAeJML3vEqSKMXWKmO9C0uj6Nao16NeTqjQNu2zng9MUWJ86voL2Ul45pPvtwDaGUA7eQoxfRGsCAtcRRypY1CR96U5/pZsrOLZY1U5AmHmHUIEk8ltseSayIU53FQRmgc2DngX+xqorCCOgNBK2u4uKSJY5TVOrx/KvnecMt4780WHqo9/iBu357//5Xo6uvvuavBsD7neOcOnxhhwxP/Mq+g1+TP/6dKf3eLEfPCqJEkyQeQrjUehiZLJBxbodObRHceKnTgIG2VLL/JjKWKBWERhKmksh4xAbmu00eftlgSfnTZ2KESN1Fsu4iQWaWOC8QIRRCSKRSJLFGGo2nJY0Ats1Y6p6hFhhqAdQCQb0qaVSdHBprSCaaMDWWMDMRsn6mQ8oy//ZPKjz+yizbp2CilrF3TdKoJtSqEfVan2q1RqAkSmYaHCcH4thj0Bf0w5ROqOgODJ2+cS1zdZ8zc2O8YXfIT3xwjl/+rObUSoAQBmtjTGqJE48olgxCV8ba6GvqFZ9atUItqFEJYhrViJuvivC9mFuuSvjom3tolWRJIIMQdlSUZ5LOGIkQksBTgM8g1Cwua1e3k+YxT3YkchgDZYVrLuB3zO0MgBzcLvXf7QtWOrie2XbKsQuCxSTh2qcekQsr9V+JUN9cvtDd+xeBzf9mgO956hMIuVI9e+6l94ftfaJRbXNuybJ9jaQ3kPQHNXoDd4dbXEo8KpIwzsYrR+85syf57/M/M2L4sxFERpJYSWo0sQlIM9ur/CiylAK0EC5TqaBStVS0paJSAg8CDRXfUg0EVV9Sq0pqFe0AXheMNwyTzYSp8ZDZyS7rZxf5xH2GP3hwDZvGFdMNQ7OuaNQU9RrUqimNasz5RcPR8wEV35XfQi7NBINIs22tYe30gPbApz+wGYtLVjqaRrVCozbOR998kWPnL/DrX9yAlhqLITUpibHEiSaMFP3IFUX1KpLaQFMNPKpBSqvjYgzfS13CzEvR0jVKSJlmJRHucKUrAhAZyAUtk1VZGhfXpKnEGElihvGOIypZSJE0zdysdJgxTXI3JnYZ6N5A0Bu4bqILy3Chl7BtU4vEtPnCN54QW7b03/+6G644+pt/9Pv9H/nej357AZ4km/y5+ZV/+NzLK//wxYOpfGjvRr6+J+Q7bu/z1ptaVIMAKRReliHMpUKRZTSgM6CnefLB2BEZ4w47TLNnlXLOyxVFoFTW3ECWyXOBlZbGtXcp5yx4SuBp63xjLagEkoovqQaKakXRqEoaNctYPWW8kTDZDJme6LF5zSLPHAr51CPrmagErGkYmjXhwF2V1CuGeiWhUQt55iC8dKDGlTM2073DtHk/VNyy03LV5j7P7h2nF1r6g5RuX2cg96hVqlQr43z4riVeOnSRp/evBaswJnXlsIkliW1RT9IPNbWBpVpRVHxD4HsEfkqgDVqneNqVGCvlGkakdKXBCOdm5bQwDM5dCbHJHSmT268lKzYDdpJJkOHPebZ0yN5RAmHkMqfGuiKtVA34we9Y5t239dgwXeGhFwcytvP/T29xxh/zxn4GiL5tAF9c7sok7v3zC4/91t8/dbblt1uTXDllWGhX+MLDNZIwZrYJceKkglaOIaSQqNRm8sQlGNyJs5iU4nWaZ9xsnnmzmCwTlycrrLWUMu8jK26eqs4TOkpmGUtFqWjLZf8CX1EJFNVAUKsKGlVLs5YyVk8Yb4RMjfVZP7PM0wf7/PNPruHUmXGumDaM16BZVdSrinoF6pWUaiXG9wa0BhYlFZ6yyNKUVqdHJXHi06zG9BJDL6uzdswmaVUVtU5AJWiwdW3Mv/jhFv/sdyRP7V+DRWGsIU0NSZoQJYYoVgwiRT+QVENFxZcEviXwFYE2eJ7z+7WyDuDKAVxlMkUIO9qBnqX2bUYiNqtlSTPAp2b47MhIZs/iMgAn6zQiq+B0c2nWz3hcvyvkO18f4KkGJ89WmKp47D9+3j98xv+YFcG//rYBPBp0MCb9mS9944n/7XP3na6cX4G1DctkHTZOQmJ8zl8IMJGkUskBLou2M6UcsHVqSZUtWNoYW6SRTeHRgjXWdZFnJaDlg1UAz2R3tlqQWZGuQVYrsrS8wNOSwHcDgCqBG8lQDSz1iqFRS2nWYsYaEZPNPutnVnj6QI9/9tvTHDw1yZZJ57A0qpJ6TTr2rlpqlZRaJSZOI37/aw2kUnjS2aEFg9t8Cff4/rct88BzEZ0ooJcBvNtXdLqKVqCp+AGB12TnpoR/+SOL/NPfFjy5dw3GSlLj0upx4grNwsgQVly5axAIKp4g8F1m09e2yNhqZZDKeeOuv7UE8GHKE8hIBJdLcG5LFsgbhsk0C6ZIrpGxe14KIIrVOcmerQWtJGsnJWsnxzhyquZkZywxxrJzW4eV7snpsanbPr+wuPK0EPIfTU02//sC/MSpg2DN7XLwdHXLjKbpC3zPnZ/UuLPjaYnnySKLJoVAWekAnQHbGLJ0sR1haGOG7VcO6MLVUeSgzk/8qs+VAzyvwcgzeTl7a53XnbjPFmQgqARu5kktSKlXHbib9YjxZp+Z8RbPHOjxz39rkldPTrNxQjBVL0mTiqZecfUr1UpCNYjwvJCzixN4SqCkyWy5YZCZppIkUaybsCRJTDuuZJ0yhv4gpTOQVHuKiu/hexU8PcaujQn/8m/O849+E57eN5vVzxvi1BInacbkhjAwVCLJwFeFBPM88LSTaK5OxaIlmUwBkT1fBuNOrpAlhRBFcshkyaE8W5ympaSRIVuN8+KufAV2108Il/6/uKRYbisQFmOcOb/SmWR+OQkW9p9669YrDwn53zCj/L8K4KcPfoWNV9naj/2DL/pvvPYkb3pdg5Pn67R6kjByksQYh7ScQSnpT2UERlpSm4FblcFcliG2ALrN5Uj++jU+mxTDIiopQUpRgFtJmTVK5PIEKh4EvqFasVQDp59r1ZhmLWK83md6osVzhwf809+Y4JWTM6wfV8zUDWNVQaMiqVUUtaqgWnE3h0v1Rzy9X9Ad+FQU2U3mNHjehJAaQZxo6hXFHdd0eObVJr3YyZR+mNLrKzqBIvAVvudn+nmcqzcZfu5jF/nJX4Mn988SG0lsTNYsPezBDH1J4BvH3t6wjl6r/CCTKUMZl9fhXw7keVLI5gDPAJ8WzgujK28uLdPSymzzgjf3TyaJYBC562WymCKMnJt0fM4wveYccyf+xH914cO1X/vdr/Y+/gPv+MsH+DeeOcHB/qbxo4/88X++ZnN8VyB7XLExQinBwnJAp+8i+hzkef1HzlxFoU9+lytxedYuAdoUwB6eHDLtXVwM4QqKhMzAnRUZqQLgrvXN047JfA/XCeRnBVZBSjWTF41qyFijz0SjzYtHQv7pb0zw0olZ1o5rZmqGsSrUK4J6VVGrKmoFe6dUgoRGbcCjL/mstCpMTAzT5DlgTKZT41QxO6V48w1dHt1jXBdNZEogl1Q8ScXTeNpH6ypSGq7eZPnZj13kJ3/N8uTBWWKjibMKQFf26pg8iGVRXehridZZEZYUKJ2fG4rPl9+EuVQReVUaw4TQ6sPY8jUtPRcrry0AXqzAxhV9DXHhKhnDyNIdpCy04MiipT5ueOIle9eVu179zR/48Lt/9G9///4VIa7+ywX4hfPn8L2Fn7zv64c/8vod+7j6yh7NumLjGoWnx1hu+3T7mkHk/M+h81EqvLfDuzyXH2khQyjYeySQXM3cGdLzjFyhvWVeQTfU3XnFoFa4+gxt8TzXWFzxDRU/pVpJqFVi6pWQRm3A5FiL5w+F/MNfm+bFY2uYHfeYraWM1WwG7oy9K5Jq4Ni/EiTUgojEhHSiAKEkXs7ghQYX2TKe+cWxR90fuHKBqMJEDvJBSs93DB740tXE63wDWsu1Wy2/8KNz/INfNTx5YA2x0YSpIEpNxuKCSmwIPIvvud5VncUdWrkSYSVldn6yrvz8uVSYVdyY5VhnFbgLEioRUw5us4q9c4Abm63UqUv2hbGlNzAs9wRnVgRLg5AjpwcE6jDvuFt8pL+8/WiSRP/oL5XB++3zVBprt/zar//WdXOnl/ndwzP8+pcTvvP1i7z1xhXWzwiEaDgrbuA6bVzm0gUgthQ0DkE+BH8egBSRe3ECh1lJW14zc9YuB5X5cpt16KgsmNI66wzKipDy6sGKl2a6OaZaCZlo9hird3h6f8JPfWKaF46tYWZMM1NNGatYGhm4qxVnJ+bgrgYpFT+hWY/Yf8LyyPN1fCnxlMmCuKGOzM9BnCoSo7nn5pgrr+hy9FSVmRoMsl7HQZjSG2QsrBVae1mnk/Our9kCP/e3F/hHv2b45qszDOKqS4YlllpWwx14OJDrfPUyRW+rVGmxwikpSgAXJZBziV4ZgtyOAryoUByuvDnQc1CnOcCNLezgKHaWYbsvOL0saU62+Z43LfLu2yRx3GDlYpcHv/Hqdbff/cNbDh46f3LnjnV/8QB/7IVTPHO0trVuHvp/r1h3/r33XB/x3IE6+08b/s0fVriwdI5/8MEW43UPk7o0sFYukEhSUUTZ7kuLS5a0oR1VitzLLsklbknG3KvBLSxS5bagA4NWGWtri68NnmcIPEPgJ1T8hEoQUauETI71WO70eGwv/NwfruXlI9NMZ+Aer1oaVUG9Igqv3DkvxrG37wBeDUKiNGXQr1BR7iaTorT0k2tWkQWa2ml5HRJGln4sSgA3+H6K72k8T6KVQkmvADgCrt8m+LkfXeYX/yjhyQNTnGs1GdQl46mlkVgq2cSBwLOZ9587KbZg71yq5AAvPm/2ocs4LxRidlFsca1K5bclSTm8trZ0vTPXLKs9DxNLbwCLPUE7jvixt87zA2/xOH1hln3n6zzxsqE5NffeNVu+nt5xy9X/u7UHTgix6y8W4EtzZwiCpdue33fo/Xv3vUovrOHpgKvWgac0j78yxcW3z1EPYnzPJzEi03UyK8EUQ92d1Wm75Tq/u0XpxFwK8PwUl1VhfhHcuIecvW0mT2xpOJAri/W0ycZMpAW4Az8D92SX+eU+P/v7Nb741AwL3QlmxiQzlQzcFae7a1lgWQ0ktcBmDO60dyWIgIiHXvRZjn2mAkbqsfNAO7+Z09Q1PzQDzZtu6vH0wYhOHDBWdKwb/NDVqvvaAVwri5IeQroEDRZ2bZL88t9t8+Wn+/zMb63hzMIE/XHNuC9oJIZaAkHsRi/7yg008vJAU4oiCM6fy4F6+cYUougVKa4PrJKQObBHmJ0RiWJKzkreKhcl0IsE0xMRd+7yOXZmhhPnGiRJxG3XLnBh6SJhe+L9ywtTv98f9E78hTJ4FPbw/OpVr7z01N978sJJFham6ccp6ycVs5OSamBIVJ1BOIYvFUI6MDkVYVFSFgDPNXfxXEgQO7ShVrN2WZZkJzpnljzdnLsAKge4smjpgK2V+zyeTvG9FN9LqPgxgR/TqPbRusejL6X85lea3Pf4LJFpMtsUTFecLHEWYO6Tq+wQGXOX2TtG65An9o3TizTravnnWc3geZAtiRNFxVPcfnWfxDiA92PhutbzzvXQuOBQi4zF3Y0ssuS6RTA9LvjIvV0awTl+6yt9Hts3xYW4Sq8iaSaWurYO5DqLQ5TN4hKbgTw/h2JYOy5BMmTxksoqsfhowDiqzcvdQ0PXJQ9AE5M3VjgsuAFOPodPzoBpstLVVAPL+pkxfKl58slTKP/Gv/fGN7zhhU6nd7jRqP23A/zwkVP8zG8+SLU6vj6I9929c/MZtq2dZH45KD6YwDI1nhIOxumSgHUnzGpX0OMswRzgQ3CPaG2yZMIIsEvWQ9m+EnaVNMmzcq4MwA0LMlnNdwZu5WoxAi/G92MqXkStNsD3e/zhg5qf/91Zjs5P4gUV1jYEk0FKM7DUA6hnHfbVwGU7K1lCyNWvpNlK4OTJQjulG/n4SuFLWwSYlL5KfmOnWc1GlHhUvQFrx/us9Br0Y5GNW3Oxguelmc2nMrtTOYCPBK6u8vG9b+xyy+55fu73BvzBV2dYSur0Ao+6J2lqV4MTaPAVRTOEzpM+2conC6kyTACVSWVUrIw6ZeUV2IyweonB7dBOzBNDAhgLLFWl+ebzismmBWKMFbx6tM7CimWpN8cttzx5N90L65OV5cPLC2eYmN7438jgNuXvf+SurQ8/tf8T/+o/7ee2XT2+/20Jm3pjLLRc8b3EFRgZ64punPY1WaJFZN3sWbo3uxi2kCj5CRElSSJWSZMc3HbIJln2TZYBnr2vHGHuNAN5gq+dJAn8kMDrc2Iu4de/XOcL35zi2NwEzZrHZAUmgpRGYLPUew5umYFbFkmhSqa9A9/dOM16yOef0Bw+WaWSTeAq2sUYonzoJmXFSYlm1xZ49y0dfvP+Kbo1TTObPRJEWdygDFrLbGwdJZB7pWvlVoXN05Kf+hs9rtt2hl+7b5JjF8ZYSqr0PE1dCWoZ0H1p3Y2TuUzF6pef19w+xOnzYabTXuqT58SUl07YS2OpESYvreD5f6eUe++LSymdnsmSQbDQhlac8OG3LTMTvMK5+Vs/UR178zvTeOW/KFW+JcB7gwHVIODU8ac31uy+7TduTHlm7xTVygI/+LY5xhtjtLqBG7MmratWUw5gFF8sS+0WX0aM/G6ot0XBAkNWyGnbjujAHNhiZJSyA7dzTXL2TvF04jp3dEIQhPg6pJNG/MpnfH7ry2s5uziOUVUmxxSTvmXMN9Qy5q4V6XuZ1alk0iTzzgtw+y57GcYRh88EdKOAiSBzcfKkU+5K5FlYW6pJiTXNumbbxggVDOhEDfq+oBo7b9jP5JWXSRSdux5CvUbwqpgZ6/Hx9/Z4/z0X+K0vt/n1z02x0K/T1xUqWlHTgqqyBIl1bC6dVNFyWN6QZzkvYXIuI1dWOywwEksNNbko8iOm9HsAaSHMxs51Bo7tV/qSnon46DuWuHt3ja89XqVy4Mj2666vbrznztedsLaHEK8tVb4lwE+duUil0pyZW5afOXDkIe/uW2qcWqzwJ482uPOaC9y5y+B7DaJYYbONn3JN7CKqbLKSpWBva0vALgAuhsx9+WWkZAfa0vuU2TurklOpA7hO0SrF92IqfoTvRbQGEU+8LPnDB5t87ptTDNIGvu8z5QvGfUPdt9QCS80fgrsSSIJAEmTSxCWGMmciA7jvuczn8fOWx56rEcUeQd1eEmDmj2Giy5WiRrHC8zRvvqXDp77e5eCZOv2KG80QehY/AS82eJFBKel8a+mK1orhPgxXxNRIEiOpBZo1433+wYd7XL055A8ebLBn/xjz/ToD5eN5mooWVCUE+YCl3F6V1uUTBCWQj9asrC7OKjN6sSKzSqYwmhzKrz+AxJVMy1hggEEiudixvOG6FT5wV8iRkxM8ecAwNf2Q9553XPMZ7PIN/W57/r+awXdun5H7Xj182xfve2rs0WcbxFLR7VhWulUeelFz+64e401Jf+BjjOuBzJewHOAmr2O4BNhiCOwRkGcMUfyf+/dkzuRFStkU5Z5Od1u0Sh3AVVrIEa1jWt2Yx/cKPnl/kwefH2Op1UBWKzSqinHP0vQNNc9S8y1Vn4y1HXNXA+l2ifAFFZ+sQs9k4DYEntPfSoccOgNnWxWXWMn07WjiZFg/4/ogHcgTI4kizZqm4KpNfV45ldCLPcJsxrcf4cCn8sm6eaIG5KrOnPzmyW3IOHX14R96c5+337rMN17o8DtfbbJnf5PFTo2W9On6Gl8JfCkIJK6HU7pd6pQY3qRKZGW/l2HwS+tXyjdeaTWnDOwh6N2/UfhjJAZakQTd564bO4xVa6ydSviR90SkqeTYq0+O9brBbePTV97Ptxge9K0lSut4MDvZ+9Wr15+u22vqLLUtg9By/daUN9/gEhxxEmEDmwFcFEtUzsZDMGev8wbUMsBh5O8Nz1pZmgxXB1HIEpNpboOSqRuIn7sZMma+k/Doc5qvPN7gi4+NcbFdR1QqeA2PpoYxz3XyVD0y2QFVX2SHzEpOM93tC4KcvXOA6wTfT6j4EdbGPPR8wMnzVaYnBZ40mY4Vw0bfEtvZkXJTRT/02LJG8OabenzhqYhu7NGPBRXP9av62WSp4SqlCr8aIUdkijvksFHBOL+9GoR86N4+b71lkT/9ZocvP17j0ZcbXGzV6Aufvq/RnkILgScFnpR4wmZSy6IQJWk4ah+u+nojIDel52JFhxH9nRsKBue0xFbQS0HEkkdeGGemUieOmvQjwcKyZa51tv69Hwl/tZecvhro/1cB/OGnn0PYDpvWHGbLmlnOzQeEkWRm0nDtdg9IUDKh4hvXxW5y0JYkx4gMESW9XQb6amEiRgPKErDzbUyUNIgM4Fqn+DqmUokZhCkHz8KJc4pPf22M+/c0ubhcB6+CbnrUlKThWRraUPUsVc+Nr6j4UPHcTEJXZipLh8j+3GYgNwXIfc+1px09Z3jleACely3ztpSiFyMoKOvSNMv0Jqkb53zttpDdG7scOFujXxHUEkEQW0JFZu2ZjL1zNyW3IIdapfDZMyvSGJVNH/AYRB7VasgPviPkPXes8MBzXf746zVOnKtw4GyNaCUgCTQDrYupvgrQ2XPO5IV0YRj8X/IouykMG1NMxuQjkmXkZ0uKS/1jfR7fN82gDWvGEvqR4OyiJZGLvLu1d/yG6z78fctt+5sTzctXHL4mwKPeCdHr9f7eL/7ar04vLCe8/w3nuHGXB9ajWUvwvRgpnEORO7KOoWVJfzkgD9k6Z/hhx/uQuUvwziP1QvO5pIaTJCbb5SElCNwk1SRNubAIX3tYc/RMlUeeqXJ2ucrRc3UIAlRNU9GKurbUtXEugucG51c8N67NgTg/ZHaoDOBkmjsDt5cSeI693Y0VcXwe9p+o4clRe7CQKAzrwQv9mTspJutrTDx2b+lz1WyPvccSeolHIxaEGvzEzQRUJYBLKRBSjjB5zpTlUog8mM37KOPUI/R8mtWI739byBuva3N2uc1Dz/ocOx3wwPM1zi1WSPseRmpiXyGkdCtF1pUvyTKeUMiWy4G8kCIlABc1RdYW5GaLX+Y9tdkIaCSdgcdzxwSNWgrEXLGxx3vfuEy3vXe81en+hFLJb12Kov8CwD/56SdI0uQjL786qO87NcvLRxI2rRnwhmvb7N48YO1kzI4rYjxhSWNZtDSZAuCyADZ2FeAzfZ6z9egns6WIfcjahRRRKV6QEqeWY6cFrxxTfO2ZGnuP++w7XqUdBoRRAJ6PanoESlBTUNOGaskHDnRep5GXzbq68CCTJb6v8H2Z3QB2qL29NNvFzen8ih9jTcTckiS0AVpLfGnRJZttFYEXIE/taL9jlHgINDOTEVIN6MYePS2c0xEPC8a0MiMZSJmb1AD5sCMc2RRMXhqM5KWqGD/RC33WTkRsXhNz8xUh/ajPDx1vsfeEz9eervDK8QrHTlWIEwWBwkoFQpLKUjaoSFK8hlYpZ7gKRsv8wvJrW35OIQGNZfsVhrWThp2bYu7cbdkyq1g/WePwuSXmTtyPlK+9YfdlAR4vfopzc6H6oz87L9Y0G3ibUy4sG/bsrfHk3jFE2mXz2jbXXdXjbbcMuPemCIzA8yzVhjvJWAHGjVLLpQs5gxc5uNGT4dwXN7/E0xaEQUhLHFl6A8foJ85I/ujBgF6seHFfhSOnAxa6PmHqg/ZBeaimwpeCqoKaslQUbpyZygqPlGNt3xMu6VEGtyfxM1kS+BD4ZK6JS5l72uB7SZYRjalWIi4up3ztyQatTsDEmEBnXnxe9CVei9lMKSA0kjBUTE8p3n7HgAf29DnVqtP3pJMpGrzE4sW5Z5157DJ1diHlWSeyeA9jdek9HND9VJFqReK5sQ9x7Dkr1Yup+zFvvDbh9qtD3nf3gEOnJS/t9+hHij/4Wo3jFzwQkl5fk0YqL9/E6hzgqyyjHOAjaemhVyoSizAWi5uIUK2leJ5BkPKmmyLedvOAa3akbJrxSKMGSTLO3GKTlw/7LLckc0tnRFvtUD/7a/cnP/Xxd/45AZ4KZqaCX3n7raeu3zoFp+cqnJ4znDgHr5xRnGj7HF8IeGpvj898I2JmIsYay007Qj70lgFptjvwzLjhxmtD6lULxgE8t4IvveaiGM7T6gleelmz2JZUK5Jn9nt86ZsVBrFiECvOX/AxQhNbDyM80BoRaLSU+EpQkZZKBuxAWQJlXQ24zjxfPWRuP+/LLMCtsh5NUbC37xl8Py/QSgv29v0YpSIefkHxhacaKF87u21Ef782g+de+LAbXTEYeLznzj5ffKLNHzw0RjepUM90uJfr8DhPygwTakLIAmBD063sPQ81eZJKEu2Y3NOKRGt0kjqgqxSl3CD9iUrCnTsT7tgZY0XIB+7tMYjdOLc/+2bAs/t9qoFgoa14aa9PuyczlSS4vCinALa1lnrFcuMNEdPjqWt8SQ0fesuAG66KsQZmxmGiKbAmoD+ocbY3yf5jkxw943H6YsKpCzFL6cr1731X7Vc87Mf/XAx+cb5Ddbre/OwXP73zyw/Fav1Yi3tvaDI7WadWFZxYSjBtjfUqhKlgrh0wt5KANRw6VeNLD7s70RrL2ETKbddFNKquJviy6cnybZ65DitdxZ5XfNothdTSzUSx2jGT0C7lJTVIjZQSTwoHZmkJpMGXDgi+Al8NZ/Q5kIthw4N2jQB543EZ3I7hs7JaL2fwtHQkBDrG2oizCz5RWCEYk/hZ2ltlVXkjWcy8o4dhen0IcklqFFHsMdFQbJqO8MWAfhLQTwRV7brS8xqSPKGlZLm8VRbv5d5DZskfM8yeGpOVLw+lUZKkWd5AZfsfJcRJiopdLkGrFCkTNk6bbMUwXL15QGT7SG1otQR7XtGs9CSqUCyjQXWZzMlqwesVy+3Xx4yNW2zqHLaqAiVyyetm2MSJR5JK2j3Ye8xy4ETE6aWEN9y8yNVbO2rHjpWdd9314eb/8UPdttT1bw3wJFxgfm75F04evXjvwrmAM2enuePaFrdfG3LtVX2OzAv2HJuFqnYUZYYDdxKb0sonJElLe9lw/pFVy9LlgM3o8maFwORbLpDVnAo1DHKkzKysHNRZ2lmSbdya+8alZ5110iuyrfcowO3auhR+Bm5fU5SYOgbPWFwb/Cw76nkxQRBzesHwew/UQft4UgwDzEKeiEsYvJzpy4eEOrC5wTpR7PHRt/f500f77Jtr0E09aonblNZVAdphJ47KcwLlYC8vXcylkCwVeOWHKWphtFZ4qZuX4mVAV3KYNHN149lrYbLBQSlaWIRNma4ZvuMNBkSayUxA5PtnXOqQDX1EgTUak+QxmySOBaFRmc2Zj6uQjNcHHDq/yB9/M2DQD9i80XLHjgbRwOf86fl7T585+wsmTX/sv8jgsvs5rBT+HbtOsWk8BWDrtCEIljl8IWK+PQHClVmCxkqdVY3ZAujDSNiSFoFE6cqOsHYZ4HL4uyx4EVIWLWhKgCdcWjkQrlrQk+5nLclqKrLu8byQSFOag0K2M9uwq34IcFnIlsC3RUub75vS4JwEL2NvX8dIGXHygmC+XUFoTSAZkSdFer5UKDbiKBQdTOVAUBElHlPNkC1r+xy4ENJPNYMUglTgpRYvyXR4QuEsDU+jGulUyGM6N2nXFuXKQ2lk0KkhVRKl8+3LVVasliKVyVYKM7RmM5CL/L0xq6xcWwA9d8BWAzyPwexIdjtbcbLZkiaP5SykxjA71mfjmkVePDrFhYs+v3dfnSQ1GHWar7/yZd+YSwn0EoCfX3jRdcroFuNTzoI6vhjxpS95fPnZSc6tNGnUJZ50s71TnCmfZh8ozcok3YcvBxRc/iGEW1bzpbywoHLPFbQAT1g8kYE2kwD56+J3GdkPS0EpGmx9JRzYR8At3bOfAz0PPjNw590/2hQSxdNOn/p+TELMl5+oMjdfxRtT+OUajrKDwipFWk5dl6os86TPIHQTbN/1+i5PvDygnVToaU01MURZOl3JYUFUXnAmhGHYOZQHmqKwJZ11mM1UsZAq957aCBIl0KnMdrFztTxJBvRhMs0UCTYpTSnxZkaScENrt+SRrZbkhaFSzp3kwM4L82RhJyctxa07Q/7tTyxz/54+X3x8nAtdV2iW2hbJmcFlFfAIwP/svgdZCmtv+MLXv3bLsVPH6ceWNBW0e4IDJwICX7G+JvCE8y/zOSVJNj4gzn5OC1N/WI9wCa7zI08WCFD5s7BoKKw2lY9ZFnmXzvB1XjehpShGIZSBXcxBUW6Mhb4cwPOAM9fdOpclNtPbo7XkvhfjexEXWobnj1RB++hMnuhSgVKe7ROrEO4uaKnqruhLlYUnHsceN10ZMjXep7Vco5coagq8xH0XlVp3xGWA40BevJFcVakpsr7JbPlXhtQIPCNIlSRVhlQJkgzk5eK1vBxC5iDPQV2akCVwrD4saS54+rK1KyM1SKVJWkXRWD4GOyujlrJKVad87z0RN24LWemlJNnAz7GJiVu2X/WuN8T/+3c9fsPNb748wCu+RYjoO6YqtRtPhQ1ULAgHBp3A9RuNC1BKcwNjk80MTF16NbG2qBgsG/qXUWEjAHe7CzPC3PnINVUCec5YOq+NyGrA81JP11ycd6o4WaKK7pUhsPPmW8femebWFHo7twQdYw/B7RXViTGCmPu+GfDE3gYy0PhSuPnbRQXhsI1uWPG3Ops5LB/OcwipUaRG0R943HFNn3e/scOv39cgSgO6qaSSWsKEbOUqV/2ZTM6ZVTfUazE5GC2zjndRgDtVEqWMY3Qps9ESplSKXK4BskOQX4bBh7KpXGRUrs0YyhTgUnAblU3GUoWHn0s5JQUNT9JNNO1uSmJqN44vdb/DpMnjl2XwXvsUflB/+7H93/gbN267wHRVs7AiWWwZWp2U3iDrE4wtYYQrBEqE25FLZLO+s+SFY3cuEz6vAnkG7hwAsgSKfEC+A/JwtEHO3G4LEooB+ro0uSofE1GweNYN46lRcLtxCquYO+vZ9LP2Nk/nDQdJ6YiJiPnjh5qkNkAV2ctygDnsa8ydjRENzqp2PSNd32qaB5sagceH3tTj978csmJi+mmFfirwEgoWl9IiE1EUnTm7cHXtkSxZk6IEckGqs6FLKgO5tijj5EqqLCp1FYwueyyL0uShRVmu7hyWMRdNKQXQv5WDVqpNKtXJJ0aSxIow1oSxIoyy8XShpNuXLLdhqWWYW7S0wjneapf/xofe/+ZHDh87/cBVV2waBfggHADyyjPzF7cfPHuM1+2oEkVNDp2qcX5e0eom9AYpvYGh27fIML9MApFaUlHqqyyx92pUi/wmFqPypAD6qvLMQouv0pw56MuzPZQSQy2eVdyNDLvJgK2VGDophR3oOu5dY7LNmHsYYOoSewdexPNHJIfPVbDKQ0mJLw16dZ1GSYCvdlHyo2jfM6LkVzuQx4nH9vUxu6/o8tShKrHy6SeCigQvtehEZPIt68JJMh2OdHJh5C1FicVFSRrlnTW5u+LqXRy4s3Y2ZUvgzmuBbFYmkDM5xeohSuBG5BOzLiNTSqcjTwLmDG5SN4I5ijX9UNMdaNo9Rbcv6fUFK13LhYWEw2cTQjtgx+YVPH/X9jgOr4TogUsYfP+RDo1awjeeUXz+q00eegk+eM8i02MeYVhBa49KoPB1AjYpmkWVdGB2+8jYErAv/1XK0gRKSzmXLuuqqPke2m5DySJc97wYgtsFmaLoFtcFuOUIwMvDf1y3PQWwi2xlwdwpvnaJHdcVFGOJ+exDNRYXq4hAO9+9fBOurkEpL1vlwiIzyqoj3rRRxLFmelLywTd3eP5IkzCt0FM+1dRp8bycVUkycOdrhck88bymI5Mqq/S4yeY9lqdSuUOiTL4i2eK1A7jMvqcp2ubyLn8hZMHgYjWDr6oMvdzSPjwXpRvduB0xOj3FUkvR7gp6A0Onn7LUjlmzps133xOybkIwNm1QpkVVDosLC4B/42v3I5Wku9ji+i1NuiE8/HSDXVt9mjWL70OzJqkGHmFsWerYYh53HiBKUc7l2FHWKn2VEXeh/FwGdJnFR8aLDRlblhlciRKL53JFovQowH2dDQDy8q0DswyntnhFKt5kr9ORQyvXubPvJHzmwQah9FFSZdnL0RtxdQbzMiZCcVFHdXimxVNFkmqCVPPBtw345P09Xj5WJVYePSnxU5O5RwKZ2tJ5sq69TJQ1osnea3TfojKTpwZ0YSG6oagqKwlQqR0O6yzmsojihk5W6fFhHVG5QaI0+1D8OeRKpsvzWKw3EMwtWdqdhChJMQY2zvrs3j6BSODAcUl6/DTB3s9j7VCiaYCnXz3L5t3ra0987hPbFs8vs37SI0okWsFYHRpV14rmTmLKcjdl/hhZ/UPpQrrir5GLWb7Ao+1Ol2rv15YoogDO6nHIssTYeZCZT23SOt/kNdPeahW48/S9lzcmGzczpGgRy3s6k+yIUV7E4bOaTuSD0pk8savKY1ffuKMIHx1otMoLz7pxhokfTd0T7Nww4OXDEakJ6BufSupqtnWmwZVw489cYilnS0MeZJbbCoZ+s0tb6GKwqfudMpBKB3iV7U4hzXBCQD5dK827+wsDYBhcFoHnquudA3yY7BwlwuK1deAOfFe1ufd4wstHNV7mEmntNkZ49YhrxO6HBkPINdds2PZ3f+xHaz/ysY/0hLzCAfzixTnmF7tvU9XaT27fdJqKrtLq+sSpRMthirpRS2jUVnjglYCTy1OsqbuqvOLClsbw5l+g/Lx6xoYg+zuXkSdFmlsM2drJlvJQzRzkDGukVQnUanQXY0+ReeEO3A7Aw6FAXlmelNlbZX2dfsRSx/Af/qTBYr+CCDwnT6QdWVWGg3NeuyKjADqubLZowi4Y3DkqSaJp1jQ//t0dvvF8k8XQJ5KavpT4WQ/lcORDxuDlenphijJai8nAbbDIVc6KyBjcFkF6DnYlRcbgThKlhYtCIVOGOnzYTjhk8XKwOQrwy9f9D1sRfS9hcqyH9S3PnZhmIvAYq5jM+Uo5v2iIE8Fy3yJ1l3e+49qfNL1XHl9p9/60YPDzpw/g6Sqnz52kwgJvvM5jy5hPxfMIY0m1klCvRiTpgM8+bPnKM3XiLKCEYdA3jKIvo7PLAF/FbkMmF0OQy9USZXQwTQFsKZBqOH5MlUCtpURnkkQXAM81tymCSk+bAtyezusvRtnbUzG+H/HphzxePVoF6SGlJMhLY0vWZrFHfPYlX7OasMTmRYd5SaYkRmabPHlcu73He9/Y5pP3VzA6oC99AimKpI+SgrgU0K1mclFm8lVthIVUUW4XYi0dmytDMdvRsbpgOFZiOItmOJnW9XEKOQpweTmArwJ70UyeT+2Srlwsd2u+844VDp9N+MzXZjm1EFANoBZAFIMfxDTqA67btkK3dYynnq0SRoOhREkSd5EXljWP7pnk/mdg1+Yub7mpxT03JrxwSLHSNxw8o/kPn53hwsoYa8fc3OsiyCu5HOWgkTKQcze4+PLisuw9DCzFkM0LhvwvAVwOAV4kenKAWzcnO5Minhq6JV5pONBQczv29rSbWrXcMvzZww0WWgFUMvdElIKx15Ao5DUiBbrLUmWVbZdbhkZi0txN0Uw0Fd95b48vPjFgsRsQKU0/lZk9KTL3RgybsQupONTh1g67fkzB5nmPpEDnzorKXsvsZwmpojjvZZALKUrd9/kQzwy02bPMst6jTF2+ER2YhRRIY7OpDAYp3bnoDTzWTwb85IeXaeqIA2eqLPR8Xj4UcNeNfe69qc/uje5mb0xIGg1LNck0+L4Dh5ienNj6+FN7fqK9sMKGxgwXli2/u7/Kl59c4Z5bQvbsq7Cw4tNPq/QGFdaMCZq+IVDD2g9d0sc5mMtBlrwM2EcYvMzeIycrS5yMAHt09ne5w8UNd2cU3PnOBjlzqxJzX8Lg+biJ4cgJrVzm8vgJwaGTFQwBQuqiOXdYPViOH0TJ1Rje7eValCGTi5I8EYWTMUx2aLCaXVsitq8bsHigik19x+Kpkym65OIMg7vyNcgbDOQw+WYzNrdDn9zI4dzIcmyjjLu2RpJp7/y6DMmoALcR2SyVXJOLYkUTJVDn8qRwXsxQmtisCy4SCil85pcbjNUVf++DAxKzyHwL9uzXvOWWARPVGgeOb+LMxQrtbp+JqbGf2HHNLS9eOHfohG5ULIJ47cYZ8fZbrmwxfpMmpcPPfirllRMzHHtAooSgKgVVT7CxaanpbCxvVmeti0SMGDJ4WY6MsFkpRb+KwUUJ1LL0syyYexTYxbMiGwVc9sHLR7altSqDuwTybL96LysNzdlbZT9rHaNUzJefanB4oQr+UJ54JevyUsk1GlxeTqaYSwLOPKM5qsWjSHPFdMS77ujx7L4aGI8kdVrcSzOCSUel0nCVzCvwc9tQZgVyw3k1xWuZvZbZqiLzw537NFsxpMhY3eQrrB1e0+L9y6/Jkj+ixOJDp6QguCygLfICJcswit3GXLUgZvvamKvWp9QrlldPCP7dn/jI1EexTH3Gvn12fbS23TYn9Fg9Rnkpm9d16V95gdZA8cjLhoudMWbGPcb8YV21J00GFFs4EkWgVwZmCbSOvMRlNfcw0zeqtYcyJb9hLgV2weZKlJpwS+DO5hMOt+3gUmDr4YCgYsSbNhnIEydPVEy1FvHUQcWfPlynP/ChptHS1eSUpcnqz1++mS8LcFbp71WWYdkXjxPNWEPzvnsG3P9Ej2cO+ti6Rz8N8AXFjaaK9x/q4CG4hyAvd1S54DO7wZRj81Q6PW5KrJ1fayNzIIqS/halQHeIhZyhCxwIm8lXcSmjlzS8kmRlIJI4cbNjtPbo9v3imvna0AlCxhtdrt05x6MvjrFwMeHkxYSrB5blrkEvtkIqlQEnzw/4vQcSHnq5SZQETHqKZiMlyMbsFsvviEVXvrD5xRwGVfIyF/m15Im8zOtCioghqKUq7d6gRFabMgT3EOR52axF6+EIZZ1twqTVKNC9gq3doZQLMH0/Io5S7n+yxr5TNfA8hFQZqLK5IaXgUshVNzGjgXaO7IK1yZJjpUxmXiqaa/HcLowizdWbE97x+i4vnagSJj6p9OgbhZ+y6rPkXjirGNw921WfBZXfbAajBCrvo5UCq9zUqVyPFyuqJNPM2bUxQ2YuMCEuT2yjWChNCi6A7t4jFnl7ns0yqsPd4Vz9epVqtcb33dPnQ3ctcP/TlvWzA7RyU4P1H/3xQ/i+4tyFFsdPreeKSTm0vEoMu9ryk+UPtOpDlz/8Za3C1cxdZu08sBwJMIc7EAylSckqLBg7B/hwcmohUTLmdne/LZhaF8/D114WXGoVE/gRe08KHniiRq/vQ91DirxycFgyUB5zJsWl3zM7KyUdngEun6x7mfLZ4VwTVXT7NBoR77gz5IuPDnjpWADaZ2AkfqbFlQGVrnK00qE8IC2DfQhsa93KV0gX6dg8X1VyYjPWgV2aYaJtqJ1L19KMSo8yQ1O++UsgL/BTkjHuO8iS9Uhx9opyD1FDqTGktOzcAIOlgzz5yHkECXpxYd79gyblhisrWCuGm7Qm2W5opYHml+1ZuMzyO5LBEyX35DLSpGDuXI4UQeVqBnd6u5zNVCqrMMwqCl07V/Zal+eDrwJ3dnj5FNqswF+rxB06xvNiEpty3+NVHttbhYoG6RqavVIJ70hpbPko//AaGnx0HrooekZyRyU1cgTo4cDj7mt7vOsNPV49WSFJPKxQ9IXGSyk+k0iHLD78CJdn8vIQe6Uyy1A6Nnc/C6QRhQ4v/P6c0fPV1uRW36XEdUni6zIYuXRwX7Z57ipdV55xmO/DGSf5ztmWZqNHJYgwxqJfd02KQeDLGEVCu+vR7ivaPUFvAIPQkCSGpNhYaHSqP+XXpVM3wlli+GEvAXiprau8s8AIsEekSjlNXzoyKTUEeunQw01Qc0B7JVDnzolzTNyzUjG+F/PiCclnHmoAPkgPIVTRRaSypbKcdS0vtfmZyOsJR85OqZS4fMEKDW7drhhGZaMfin3iNdZqPvSmPl97csCeo26SQGwUvVRkBV8Z6NI8kCvVgZSRktWloxgFuiP27Ca0GJnt55MHxbn2lhmbC/dcrLim5OTIIbhHdrrIXZQRQrx0fHY5V1AUiGXbuceJm7TWz2pTOn3LcscyOQFjTeP2YX1437Lrom9G3LW7w42bPFY6Dc5erHNxyaPTdyWKSeL2VDFpvs3fEOymiMjdiVvdWVEONinJm6FFVAJ2doiS550DvJiTVwZ51po23Gwq02rFAPwhuEdYu/ScN9bmUkWpBM9LiNOER56p8sqRKngeSBdc+sKWJseWA6vRTZxGyXsUWrb0omiAKNWIjFQXphKjMkcl1YSRxzXbB9x9m2PxfupYPBQ+AwM6FYU8kKkdSgBBSaKMXqtLrEsJVlmkFSiLy35agbACK0BaMZQqpaByxEUTTr6UJcrIeclX9tL5GAW0KFU7lgvCLHFiiCJDt58yv5JwetHS6iesn+1x87WGzWvcFoX64T1VQGCM4oX9EVdvM+ze3GbLtCSMFOC2nouTfC9ym23TTNYAkQHdlIC+isfLWmtUi486JqN7xKyqPxEUe+8UuxfnzbcjDQ/DrUuUWgXu0lD8wj1RKUqXAJ5JFF/HHD4v+J37G4SxBzUvkycUrWmqvEtw2TkZCTpeQ6LYUaCXZYoxJaDby2lxTT2Q/MA7etz3WJ2DZ93NlxpFL1WuyjDNkj8Ip7/TbCzHqpUkX3fLAJd2qMVlptGlsVjprpGVwgHciGGslDO5GTpiZXkiL7OKj9z35SrLzLJPy0ea7+tjMvnstkps9wytfsrO7X2u3hKye0vETTs9KoFPagzq87/7b9dcub76r3tLc7uisMLxszWWV3zG6xU8LYfbgWQpb6VGEysiA2b+nGvlXEOrQj9LFxQWskNm1l4+Djh7VnLE8lt95CMTyh538ayHuts5KKPgLu/VMyymynZ/0HHRzODpiFRGfPJLNX7/gXEIAlAVlNLUlKWqbDaOgqLB2Su1xg0zqeVElByeO8VIgDqMJYa2Y37TCknW+DvshVTSIqxh09qIswuS517xSYQEoTBCIYQrpV1tAowE/Tm6RlomxciqMtS8tnQzMHR+WCVtbNamuEpWlG/gS+cQrq5Lz7b9TtzWJvnmtlFk3FblUepex24/UGNgdkJy702Sa7dUiMMJjp+dQFTuXVudevfX9enzZ8etbb9z97Y+4/U6y20BVEgSgai6HcQCS7ZxqSBO3E7GUSKIYoFMhAtGs62YjbHZFKsSj19y95YlSVmDZ0tdmbVH6sDtiPaWBRiGkkSVtLcqdnoobUSl7CpJklcK5uwd4+mYQ+ckn/pGDTd/xbF30blfcpnK44WHzRujgaYo/2CBy4HDlGtDhnMF83mPeX+iSRWpyrR4qvnwm3t84ZEa+894ICOskAxSD01WL5Kf6zSDZ1oO5uyoH27dzzabjZV/NpkBVFqQ1smWXHdL697DmswfN07emFUB5uXzI0N5NAwehzIkSZwUiRPjXsduo1vH5m6fH0eaksPH6xw6LljpGCp+i8r4xXemiHG93I5Z6cZUgpgbdkQsrmhS4+oNPO0KX0b2k4kFUSyzZtdSM1Y69DPL3Tzl+hO4jCwp61g5+roMcNdFkuvv0uscyHm1mxr6pTm43URWkz07O1Apg8r9buWm5KpMnqQq4UuP19l/eKi9pZDO+y46aFZdvJLuHv15qDPLGnz4erQBecQTL02k0lmXSyqHKfwo1lx9Zch73tDl6KcColSB0KRC0xcCnWb2HXmga4fXqwTyIgQuYiiBss7CBCdNrLWZFs8OYYcpfgFGOuAbMbQQyw6ZeQ0nZUS1FSzuXLxcZ4ex29w2im3mlthir1UpXCvlwkpKagSLHbhue4yWCdgYfcXGkItBzNmwT7PeZv2MT6cXEMW6aAJ12idvIZIMQoUcSCgGbg5TzlIOO6VH9XdJo7IqpV9+lqsBPmTt/OectXOw61ISYCTIVHZEd6s8iMy3OJEGLYdD85VK8byYY+cV/+nzTQbSI5+gNeyaz1aQcg20KDN12ft67cfo8i0KR8qMpOzLGlyM1KekRpOkHkGa8GPv7/Inj9Q4ek6DisFoYuHRFwKVDms9ZDnYXAXy3Ju3gM5vuOx30rr0vMVmrJ174maEzW32Pka6v7O6vmj1ECSx6jwNx9k5zZ1km9n2Q7e9eRi5n/Om92IrFOP6g1cGlmY9JLERZ5eglUj0geM+x055PPhNn2cPGz7y5mXu2KXoDWqEsXb2VLFpqSRKFD3PQ+ARJ4JBNNR1UmSZuVXXuNhuuyxDxKUMOJIVXcXaeSJlFNxmKFHkKIPrEX87A/OI3106pGNxT0e0I8Ovf7HJ2YsBKJ1ZgzKTJ3bE9y5ewwjIL5Fi3wroZalSNB6UezTzFL4sjqIZQirSRLNhJuRj7+3wc7/j04pdQGCtJDTK2YZpqbgpLduGQ5CvNnlVhjhrKZhb5ZnNPADNiqKsyNg0v3bWjaLMr6spTAR7ybkpL2flXEv+cxw7cLd7hl7o5iLGKdkkB0FsBL1Y0IkS7rxmmY+8ecBVaySNCYvwLDqoCK7cpFA313jghTF++qTHz3/8HG+4ZkCnX8VaVUo2COLE2VSertPuVUv7zZfBXKpkyxl89VJettcuA+whaw+ntBbsnRXcDwFdYnJtMkY3hTRxcsSUpErO2EnxrFWMDmI+d1/AJz7bJDSekydCFfKkaCpeXTlZ1t0iz8yVYX15iNshgZaswjLo85S9xRhTZDeLFL5xW4FXdMLHP9Dl0Emf3/qS0+KgSIVkYFzAKVMKBh8WYOUrzjB1X7YrHaiHksXajM3FUC870rHOPhxJ/DgZ4+IsixXOYhwyuR3FRzn0LVnDqYGFluVCS9JPBGECic028LKQAN0w4t7r5vnpH+wizEa++GiF669VbNoQo1d6CU0vZPumPmMHJnhib4NPfTXg5t1LrJ0esNJxmnx4g0v2n6xy8IxgeSVgEDqWyYNIGDX0RQZaQbmUdpV3Wgb2Kt09DDKzLbrLWwaqsutgSlIlB3OJyeWwOrDQ3cWzmzW4tAx/8o0ay2EObgdwTzrtrcWoPBlZdXK7rITn4pKVl+GyPMlfZ38wUtVnhpt3lTt9ijpxKVFGYYwmSTVjfsr739LjC4/XWOwokDEYRYzT46urC0dvuddmcpcHGiaF8voUlQWbZCzuAO3YO2f0/PzYomtrNHXvatYzBVCqRynyG0o7aVntsXwi4dgp7T6byKUdDDqwptnhh9+1wPU7Kjy+x+PIuZjd10aMNxP0vddIWise3zwRUGl0uWFnizMLlkf2CtaPp9z3sEcvUgjnVyE8zQuH68zPeVy/KWJmwsP3JFrKIo2+WlNflrFH/mwYtI1sX1eu8SgCy3KDwWhQmQ+nGYI7HQkw8yAz3+dGl9jbqyXc93CFZ16pYkra2zU15PJktN5ErkpclH3wYbxxqdZcDaxhun4oUVY3Q4x0m1uJskNfPEk9tEm4/dqId9/a4/e+7IOKQEisEIRGo4RwjeF5oFnSB6vlSm4NWuvs2pzZlRzKKCuF67jJ4i5jbYm5HdCFKMmXkZXbAT2XOcXkmAw7+XQE34M1k5LrrupzbmmZF4+C7yUo5SZo9SLBlx/2WT+RsGEm5oUjmk7UZu1EkxNnmnQH4+hXj8H8gmCpJfib74zYvG6ZbtTlNz83xisn6xw6VSU2rsFWKkVFK6bqgi2TKXFsGISp+2KeW4JG6r1XVxuOAN+OuiaCrFF1FXuLUWAPXZTsZ2XR2YgxKTPHRNpMV5ckSe6YyJJEkc49CbyYo6ckv3Nfgwsd3+13Ld2gdyUY7thwmaB49BAjgP8W6mREf18ug1fekS7X43ak697tn+Oe3fYna+opP/juLo+/EnB0ToKIAYVBMhCytIkUlMtoxchdWB79kf1/kc3MrkOZzYV7LQRY6W4KU7rmBavLVXIlwwBZ2t+KbDxbdm497TbbDXzo9ZtcvUlw5+4ulSBvK0xIbcr7X9/nlVOWf/07E7R6E2yYrvG6Kww37DCMjRv0629Y4YV9Kzz9XMSY3+Cmq3z++JGYh16cZK4zTtBQTGhJRUFNWxqepVkxjNcsWslS6ae7E0e869UAl0PWGwF9uRKvxNgFc6sc8KtAXszIXv06LbR3zuI6HwesEpRM0Zkt6PsxYWr4z59u8tjzVdfbJrXT3lK6rh0xnL9SNBPkn48SwC/D5GWci1XgHs1gDl2L4R7v5fLZchmtazczuaOSGhKpUYnm7psj/vaH2vzz/+wTJtJloIwkyVwVaUTps9lMWpYjPWcRU/p87mdRig2y7voMuCZ3zwCTNR275glRnC9r3ftYOWRxEPnw2CEXyFHrOE4EKx0fS4NW16MaxNlsSHdcuX7A9ESf+x6SPPb8BBM3BGxau8CJhZCVswZ97mKVMKyyabZCvZrw0iHLJ++f4GI8ztSER9OzVLQp9rapepZa4PaS9PQwVVuw16pCqNVSQ7wGsC/L3rlrUWzXsUqeSFt0e7sdlk1JopTG/ua6O5txXQSXMsHzEx7a4/GFx2qEkefmnmfau2DvIrBl5LiEuUsoLsBeik1W03cpxiTft2gU3GBVXmU4WiueGok0TqrkQE8STbWW8P67+zz4WJ+v7VHONkSCkMRC08/jn+xT5g0HBVvL3GOxpc9GZhHmoM4+pwSVV/xln1uKDLTSFnrcynKOJAd6ZjuWz5cQpVXMBZhxIugNFEJ4pKkgijW+72UDmRIGYcB4Q/F97xyw93SH3kBz+nyVrVf6jNclulFTXLkJrppdIqbPv/qDOi8cnGDzuGbcNwTZ7gh5e1rgiWw/STeVVavR9rGR9HPZ4vvzAjv7cyFLjkWuf4v91POC91yH50AeAlurVUBXQ3DrDNy+F7PStdz3eI2D5ytOmghXEity7S0oTZCyl4C7+E45k+eAfm3hPYpzS4YCO3JxR6TKqsTP6npxKRXSpEijiUPNjrUx735jl2f2+24zVc+15VghiFDk+0BIMm98pIx2uOZYXHKnuCGlc1tU1tI2ZPNcqmQJH5HVkGeMnWtwKUXmrJS+oywD3CVwZDbQNU4FYTzcNcK5eAov0m4jAmXoez5h5HPT9hY/9f3z/OLvG/7w4SrfEwg2rwe951CbxaU+h48K5lYm2Hu0yrZJSTNI8XTuGlAMznGjhkU2LF6hPYnWslSHPaytGMqJ4bI0arGNJkuG0sSWbowc3LYIQHNJIovB7HaEsUcCyjyRU3ZRpOuUN6T87perfOLzDazQzvceYW+G2vtyn3tVQEkuT8qm17dg75FKPlaBumDyS1vZTJ62NwaTSox0vriShjj1kMrw8ff1OHLO4xNf0MTJEOQGQSgkyuSDJDJwl1vbClA7lwTcIlB8xkKHF/emA79w/6bNrrUdAboLRPPeXZvJmJH3KwXAUkCcZ8uFa5ROjSBODX7kdqXI3bNWr0K7X+G6TT3+zw9HHD2fcMP1S0xPSbRmjJqOCahi+h5XzUjGam7smUs4uHdX0oHcbdok3fYffj7rLxtymTUgD/eQWR0wMsLQ5f3mc12ee9x5X96I9hZDSTIc52svYe7L7Vmvsr1nnAaP8fyYIxckX3ikTrfrQVVdyt5FzXdpdRHDBE9hg3Lp69w2/S9x+Oo9AsoZxPLcEmPyeo8S0GUOdImRTotLqYnjlEY94X339Lj/m1WOnM9Yxg2oJhWCfuZdCAHCZOC2Q7DbAtRZ8g6X/LGSbPe/TGaI4Wc2wjG+zH4vRoCeOSyZRMndFmtxFYuFF58bFUNqt+SBNSSJINayiBPSrPJSqypj9RqeNqRRQthpkNbq6H4qWOwLLrQEs+OKqu9Rr7oT2+mn9Pqpu/OUyLYBEXjecHi854liexAH8GFttixr1xLziZGl3l6iu/MhMqrE4uXEjhTlwey5c2JGttuQJVkiZeaYZEyudUIYGx58us43Xqi64eDScwBfxd7FqiGGAdNozcmq8XWXCTD/izJlNdBLhzFZ9jB3UrKtSJzuNkOZYiSpkKhUYoQiDjVvuTHiLbf3Of0Vj9A4HZ5VQpGgGQgnB0QmSFza0T3ncFPFMpQ7Ktl9Iiiy1vlAT+ek5AVYlwG6FVkQmq1UmYQZFpsZ1/RczFIUGbiz+hwjXQrfc1gwVtDtu82prLU0qppqNWHNZJf1swOmJmP01VduX5mocL/sjn+Xp9y2beONlGoQ8syr0O2P7mfjQD1kbj8HdrnLXo0CWwo7ksgZbWuyq+SKKQE+B3b++9xFWe2cjOpvVaTf09LrBCldp470Ex7d4/Pzvz1GavXQOZHO7/cERUvakLHzm7IEcnl59v5zJDGHyM6X/Utkih2RKwaKuh9rBEYMHZVCk0vnjQujSRKD76f8wx9uc/CM5tFnJcYXGWTdF4iNoj8iqGxJllxGkxdeeEZemRzJgS4yq8/m/jfDURLOQc70t3BVp1KCsCKbe5h/d5OB2ZLqPIAWRRdPPuLZ91wh3WIr4pn9hqonGa8LxutQq06zbfvW+zeNXbmiBxc+Ozem5M/ccX36XRO1Dr6X0OqHvHjUcOJigziqENSzDZp8lTG3KIbHazUqSbQq+9fZtKLyvLmMwUWZwQuJMgS0KEuTVUPX1cjryzgm2e/cjeBAPmTxhNMLkl/70wYnzgZQ0wVzF+wtcu092pJ2+XqTSxM85d/nTsolQF+tw3PPm6EjkafrL/HFS/54KjP2NgppTPZzlgCKPbatj/j4d3U5dtzn5LJw3rgQLuhEECFzQi6qDEXO5LkvnkFdZXeuFcPqx8wpxghnCpAHoJmsd164zaoJxagktQJh3AQrJ79cGaySApWB3ChbjFFO8hvcOkOjUUvZuqHN2ZUuLxxp0D0ToIVg2waP04t7fib+3LNz+sxClzhVTDU7CDnPKwd9ntgbsPdIk5mqx+YZ8H1BEKhs7/ZMjuTTorJmg6JGZMQ1Kc2JXs3eDNOzQ1cl1962YP08NS9Xae7XBHjJFnTgzkphs9epn/I7XxzjTx+uYysO1Einv4WUI/2Ww/7Gb9ExXwA5R/llmHrVr4sEzyiRD2UKjASao/MLsyAzW6JtxtzWmmGNishALjSyn/L+e/vsO+bxC7+hiYJk5I60xiPMamdEnl9PhzZeXmFIIUcc0MtFdbm+RmQ+eJYAyiVLccNno9zy0llJZhsb108wnEHpOpLcfkFulHOSChLtyhTyqtVqLNm6TnPjjpQXjy/wxF7Ni8cqNMZrrJ/1CGODDtOEamB48Rh89ZkxwrCOTDVrm5J1EzBe107bVCQVXxSjh8vdNENGLSdzRlk6d81WB5aiBOzhDWBHgD10U0wWZK4CeMHUpddymNSRpdqTrz0b8NtfqTNIsyn4IrcGs6ylsCPa+7Kp+TLQeQ1WXy1VXqvgqmgOKbFl2SbEXlJCa2UpsylLzopQjvVkVpwlDanRBJ7hh9/V5cmXfL72grMLc28cKTBWExrXhVUUkay2DksJICuc/50zuSz95yJj71xrG1sq3bCrE2H5uLYhYYzUH6X5pFuLSgSJzqY9ZDuwCRRKNkhSzQ1bOly/ZUA7WuaJA4oz8z6BB/rh55toBe1OhaqNWT8hGa9DoyqpVxX1qsrAPdzHRuuctcsSYhQAeaZsZBln1ey8MrPnLklJkxfOyWX0t1zN3uoy7C1L0kTH9EL4md8c49jZAKuHuyWPaO88SzoC7FWA5jJgLiAsRvH8LQR52SYsmL2kx81l9filtSlGZhWHssziCpEahNDIyHDFhph/8iMtnvy/AzoDUciU/HOlaAY2Z6FSxVR+40mn/fPXFMEvznXJz1N2A+R1KPl1NmKYI8jJruwyOUZ3d8AwJsvYXOWz3w1eLIhjSRwr15sQKVa6NZq1gPF6wlh9wM1bFdduwpU5v/WWDSil6LS7nD8/j8U5IxVPUgkgGAG2a/0qFzeJMrgvsxwXtQ6lLzIyMlfaVaw+TMWLbJsM54OX+hKFLYE6d0pKvne+O2/meWsdk6TwHz/X4IUDFed5y5y5h86JJ0ZliRKX3rQjM1AucU/yajnxmnx9CZOvck6GDRAMex+zUdWXVBsKx+BF0GmkA3kqMSI70kyqGMNNu2J+/Hta/L+fHidKMxaHgnZTFKGh6P5BjoI8v8DK2qEvngWNBbub1QAvk4EduecvOUerboLRQrtsm0gl0JHBC1O6fUW765RF4Ct8z42aHhsbp1avYVKDft93votKtcaxI/v45iNfRXtqZChl3iFTDvjUJYxtL9GYuY683GNke4sysMtMXmLv8v6MQ/ZOS154SZaMHNkQn0rK158O+K3PNWj1PecBZp43WZOuc06GWctyGW9Zhw9Hs11mBuFoVfOwSo5LT45dda5G8D4CdEs5ATRk7WwqbC5Jykkg4WzEVCqkNa5eJVE0K4a/9YEez70a8OBTCmpJrifcm0tBYiQDhgFnDnKLwEpbYm47dFEydlfZNR0BOCW36TUcpdGVbFjhOEoqWf1LWcJIM9wHNXP1wijiPe9+EzfccC3dThcdJQqZeCSpYGosYuPaGN9ze44P29FE6c4rjUoo3ZUZVxcXxpSi/nKPZsHiXAry1RuLDhM85R12bcHSI8ytUvfnpSpBKROkTjhwQvOfPtPkyKLvomNR0t5ZxaCXzTopdnG7XFC56sQPpcm3bsVazVLlxE5xSVfp7mGVYWl+4WqPfKQIK98C2xSbyopcqgjrpEps2T6Z8GMf7HDigubwWYHVZYElQHqkGchZBfJcviiTg2EYeBYxdl5jkgHXJZIuBfilGwCUb+6seKDE+LJMjNm/kdphk7IQhkDDeM1QrWjGmwGSGB1kJYmVSoz0l+inhkGaMtk0bJ6xJIlPP/RJUjUEelEwP6wDM4iRAZJpqWYiN+zzv+FqhW0RaJQdlEJzl4NMUd6E9PLJnDy41IUtmOAHCRdagp/5jSZfeKiG9dQwHf8t2FuVPtOlzklJOw7NiJGbF7EK5KtofIS1V4E9/92lNSllHZ4DuhyA5p0/sqjoc6+z4FMYktTgSeeqtELJT/6yYm5FQCCG5rUVWDSJlQzM5UFeJGiM08bWuGuZW+h5hlMKO9wysnRvlwGeF5WlWVIrB63NU6kjpDiMTcJU0I0skUnYMJMw1TQIBH1S+sn/r733jpf2rMr9v/f99Omz+9tb3pLykh7SE6WDFClHpagcsXH0qBwbBxUsIKgHUdSDYkBQRCDEUEILkJBOEtLrm7eXvHXXmT3laffvj/tpM3unAEKA83s+n/nsPbPb7JnrWc+1rrXWtSKCZJ7T7PQklYp9dMdBee3HvzH5vINHp+mHcNKagAtP63L6hgXO2WzQ7btEkTHY2pjKSIXh2GwrbSwJI7kU5EklrBjBi4WgdO95zu+Too7QlUq9kDTOeXZSqZQyQhph8rnuNfGJuebWMl+/s5T0mhgZsAejd741uOg3uGwzVYF/y0I0Ge5JGQD8ElQPPjaonBRK9WjwqOKgQRK5ZaKmZHp40rOh1RP9mJSFnhUpEUnHoWMqnntOj5dc0OFjXzbwQ6GF/yyK6/c0lGIQ5Jk8mIKeZCOKyBJNlVpHJNw8vcovid5KkFtEQJAUcvwoGUVLvj588YsV+DEEYcRZW2c5fUOXi08N2bJG0e4YBPEUk6vjaz3PPSpFB+P9f/t+LrzwrPlGRc1HfvQzj+5YwBIVZubLXH93lVK5ywvOm0cKsK2ASqlPrdyn7PUoe33Krk/J074iMpHx8oajgrZQoCW5SjLUUFVsg83WRyefF9phByJ3YSI+491mSCRjPneTx59+sMbeI04yxKD9BVOfEyEFjgRXaiN7M7GBS73F867IvP1Ay4d533vmcitAysQoKTU9KnRZ6lEsOTiSlyp1w7ci9xyoAFOgc4W+HtLJGJYMdOcnXoFmxopmNWLbpoCDxw12HtAOCtkPFi5FSujiU55fiKH3d/hMzk/ynJqmawHzQJeCO4z1IHEvkrQDyUIome9Dq6tY7Cna/ZjFvqLTV3RD6MaKbqSQ/UV+8cVzvOkFJUpmnSis4fcdOvEpzHZH33Lw0K7bzznrYr2jxzZ8TAEjlYiT10g818AwAGFx9sYaQdjGdbtYZsTRaTgxr2VCHXkkSklWjAhGR0wWWh5SOMk/mHDxQoRKpcNcE085uB5DSoEuBuTBIXAXlBNZSCjTj5YVsXda8uH/LLNjlwMVI1NLssKOlBk1yeYsKYCmIHstV8VMWw3SdAwxmFAOJ1TFAYPlAnoeteOhgk+uosiB6mZevpcC4lhbDKfauEgiuxA5D5cinco3CfqKrRtCfv7lbe58wGbfieTMyACq/3mlBCEikxBVSlMKCaeByiJ5sXSfXuEyLl74n9IuySgW9CNBKxDMBwp/0ada6XLSZB8RR6Q7Lw1DcGze5OgJG2WZRIbJB39JqAAASbNJREFUnQ9PUjEqIEwsUxBFfZy6oNQIiCO9pMcEmFx1OuWSx67HTWqNo6yfMCl7MFIL2bpaIpRBt7/Iv1/ncM0NFfYetDGslHIopIo5/ZQur76sy+Wnh8wpPX2frYUrdBwzlGAOcO8B3h0vAbimJ9EA0DOQC01NTDNiti34249VueFeL+8SzICdUxNbMmSDnCcxxkDEXEYWZJnHhuWvJ0o0iwwlO/EzlA/2pRRArimL5sAZTREF8BcqnVIoYqEQsZYuU9lQCEOfRiIm6sRcdkafX39diz/7kGQuXRCczpol9ERJgzAW9IT+WtZ9mHYd6rp7XqGNc56e9jAOR/ci0INY0A4U/U6HF5x1glde3ubMk32MWGQnurQUux+XXHODw1U31ZkPRnl0v4URxjQqIZ5rsHoi4vSzJplafQqB380BvnrVFGNjk1+98ebr3nP2Nvl7GyZbuE5MpdRnanSWb9wT8ZdXTvLogRqzbY8II9N6VfJM7z8ScPuDLd76syd4wVk+QpQG+HdW6WKwwJNH6+EEc9CPbzhypxXKNHKnBZ2eUPzj1RWuuKpCe6BamfNu7d2XKycDTVUZnVpavRyI1MVksgBZIeRy7+WTg3wAzLmKogqAL0bz3D9FJIb0ueVbGrljKRCx1K9t4gYcJf6FerBAQaSoWAG/+Ko2x2YM3v+xKt0BRYUE5AolTR3JY/3CxIkZp34CacKZX5ck+dfS2lEx+U6DiCEUkYIg8nn1Jcf5w9e3WTthokRVnyhJe62QMRvGI849KeR1LzjOez4Zc+f9kwShQc3TCwt6kcOKAzPvufDSLV89fPiIjvwAf/mXf0XXMoOZdv+kQzPdn9j5+DSnbjiO58zxwS8K3nf1KA/sHUfKEg1PMlISNF1Bw8s/epbJdKvE7KLBs0/xEarMYs8mStWXgm6cT+7ES8EtnxrcUg5XK3UTlbBiHthl865/qXHguJODO/MX1Nq3FAJXJhFcprw7596pXJjPYSYnQNYrUeDHUmSPD3iYi9ycVHPzfPXKEr4ti2tbChxc5g5gwwMj6dLdgQrrMrWJXIpNZ2bTz5NxMaVw7ZjxRsQtD1ocO2Fo4A4oQPklSpFwcjFIzYrIzU/s4qVuKEkvyLF+JGhWFnnLq3psXV1hrlVloe3R7rgs9lwWu/rW8x0sw2bdpOC8rYvU6h2+tVtiuz1efGGLjatsKm7/Y/fde+2tF178k3kEB3jVi1+C67rcdtst3HjbNH/xCZuHDlY4cqyBY9usb0LZ0sWforJA4cUHQbhY50u3VDlni0i6zXTvtii+OWjdcllwiyShFOqJwV0ow6f3TSvm/t0Wb35Pgwd2OihL5rQk5d5J9B7wORmgKMuU5p+EpgykWYLCPcESuvJ0wnjOUpaRCvOaQqxUolRoSiJVTllioU+kWEktxypFrGTyPZqri2IUFwrhK7ZvCviH35vnF98lEj/0hFukrYI6LKMwCEnoSxbBRab26JH6/B8SFL5WuDIKkSfuJSfmzG0ejuHy2H79R7OFsIWTVEqFZUY4VolmqcevvbTDKy44wM6DksPHp1i5+izOOed8+v0e8J5BgG9eW8e2S/hbbOqix3/c4nJirsmKukHTjfFsbReczselb4oQJA0xAtcWNKoWKjQ5Mh1RLYU4doSFnrTJL+P5bZh3D/af5ImlGNbARYQhdEHHtCLaSvCBz5S592GHyBgq5si0aikxBQWXqkKVTOSl4eykHfIdXGILMRSV8jejAN4nQbgaAnYR4ao4pznweJqMLtMzrrRvt04uNdBVootHCVhiIRNengA9VkTEmEJxxrY+v/LyRX7/fRbtKHnuqQdbodqpkIRoc/siyIm13EusbdqKF4DiIURuO+2YUCkJRFxi536TkVqE60RYZiIVi/xlEeiqum3GLLQ9quUyzfICfuDzuVssXlyqcI45SdDvZn8rA7iUHqZV3oXh7b7m9vrGux+EzSOCZimm5IBj693vQqTWvjoiCHSGa1uCkmtQq5gYhqQfKJxQZn0rKm05KwJIFBJKsRwtSTXuvJAjh26mFdGJ4MOfKXPl18v0UzDLYvSWSfQmH2aQy0fvJ+0ULHDIwWJOQYJbguwnj+HDbbMD7akM8vAYMivjgSqxygGfKidpVBcq5eKxTjaVRCiV8XNBEs0jhS0Ur/7xDo/sN/nw1RUWA/QLFovBaC5NFJJgmUgukrNWJJFcqyf6KpNNxCUBxZT5jG8YKWYWIIpNyp7EtnSbiEiUoSgWRAl8LFPh2jallkuj6nDGpjl+/icEsWvtLln2rtjylwK8MbKSD3/8S9da5si/j9TW/8HZ6/ZjWxLPFriuxLEklqGHP/3E8CeMVHI26mYXzzUouRLbVJk8NFimTzff5lFbiDQ6F8AtYpZWLovADrPRs7YPH/5CmXd9qMrxOUuHBVFILJepWBpC25ENTuioAXAXFZVsIKAIfJaeBAXsZxH/KY+hRqs0shfuZiNh+feqjJoMFH5EAejFx4qVTiEQyATYyf8dSwQmYaSYHAl5239vgRL8yzUV2kHygqUFnzTxLIJcJXQtTqyYM1+VPKqn+WaxUJi9bgqCMKbTi5FSe2G6tm7uE0LPYXb7gn6gXxjTBNc2KLmKmQUbFdtMTK7glNPK/z537MZrN578kqUAB1g34WDZpS+yzX+p8I3To8ikWjYpuQLPBcfSLYzT84Kj0zqzNaSerndtiedKPEd3HxrG0OW9KAUWKpZp1TKTBYXKijoy6zkp8u1c75aO4rPXlfjzK6ocTcEth6uVRi4LiqQcX/BsGdizQwHQw5G7oHMvp6Doh8RTBeynjOZFIBepSgb8JaV7koYrkmidUJNEMhQDUVybxuv/QSWR3Mg+JzYI+oqpRsTbfmGBmZbk379QATcqKCoMgdwgiJPXQw6CXMRk4F7SOEbuGhDGuqze60d6ukfpCR7H0lTGDwXHZ2Nm5gOkVDrwOjqYVkoGCJcDLeveVRsbX1zsdAdeU6N45yMf/QgXXzB1IFbxucTqzFpZMtoQjDdjJkdDVk/2WLdilsPTAXsfN7BNgZtM+riuTAyBFK6jM3PH0nzJMotWDuk2huKQcNFQMxqM4mk5XsQD1UrDjdh12OLdH65xzyMuOKnGnaolyRCx1NHblmQbgU2ZruAuViufeOelkSodBeVjQA0RuUKSqR/JY6LwtaKKUjQeHahuZgFB/960e3FgDjQb6Ss8Rn4VGmgnSDEp0AnlsJpROEMzT5cYarUIz1Xcdr/F7FwygLlMEq1/QGats3m7a745L/227Dml/1+qSolBP8s0fZdCT4/VyiEHTizyzR0hrUVBv69XmfQDvWEt1Ntpv/DQjl1//4bX/dwAwAciOMC5p08ipGDXzoO0W32qJUWz3mPFaJvZxUX+6YsOj+y2GfdiKp6JZUocR4O75Co8J07AnXrIDY6T5dx6sCyflt91JI+S3pMU7Ho6J4vidsTuxy3+6P/Wuf4uF1xZ6O8e5N1kmnehDJ+88cvx7yUVywKAlu0sTEExTFGGrwLJ/eVUkvQni97YxZnNXB/PKYrKNPDBdtrlmrKE0hxWCJkViTQtUVn0jtNIHhuaFPUUP3ZWjz958wJ/+A819hyxtbKSUQ/y5FMKYmQeyUm8wFVSFEoju9AfIwEyEoRSYUQKP0zBHmevoxRgGBJPQbUU8/JL2mxcv8gV1zTZu7/E6mbMSDnGtRWlWoPVzbVJlXXwWALwDVtfiGGY/tFjVxP1d7NqooPjzHHDgz6furHKQ7vqrKoZeA2BbUtcO4ncCbg9J8Z1ImwrxrZiLCvfIqyjdz6BM6xz5zSl0FiVVChTemJaEfuOW7z9AzWu/GoJXyRT8RTlwBzksphYinyQYUBDXmaoYUl1sgjg4teGgP2ER/GLQ+9DCnhR+Hzg+wqXdJUCLLmTJ5oqqXKmlc2CmlIEe0JVUu9xDTx9pmlw6z8coXBMxWue0yWK4Q//vs7+E0IjJi7SlJyuxEgCfaFIVBdNvEU6RJFIyWkanVs5F+cJ4uz1loky1+kZTIxUeNHZPmtGj3PlTS63PzJCu2+xdkSxbdUUr/3J5/phGPHnv/cUAJfWFF6p8rtjE5tO9uTuy2a7J/izKzx2HRrFFTYbmjDZENQrBhXPoFwSlD1F2c3B7Vgxth1qgBtRHskL1g5LGqdEAfBGErULCaWRlOH3Hzf4/b+rcdXXyvgysdMSw7w7rVgm4JZ5G+ygFcSQ7s1QslkEdIrRompS+DoJBaBQyfx2jsGkcqiiSWEooNhxmLWcpkoFhcidmNInwCbh5zqKyqwjRiAT4BWXxSbJXQQWIT/9vC6mAW99f539J2z94g2fhAWQ9zPgp+E46VXJrlLFvURpUqyyltlYJf04CAxpYJkG5rESYSjYtrrNO96wwGNHDvFnHxmhyzhbTlr3jZM3rfrdTntxyeu6BODlcpXu9H+0tm5gx/tu6F78xduaxuNHK6yuwEgFmhVJo2pSr5rUy5JqSVEuRZScCM+OcZwI24qwC7vfh+cm0wGGzJSnCO6sr2RQNZFGxOFZg7f9Q42rvlbCN4YaqETeZ5JSk6IFxIDuPTQbmoK5WIiC5eXCYil/aYDOfa6/rWRzCLxF3BSRn77pOprn85kyAUucnmNFupIUf0SmpKQJpkAkJkJJhpokmlph0WHYIERhEvHq53QJI8Hvvb/OkdnCC5Tq5NmT1uqKXwB5ys/N5HnHySB1TLJwKhaEsV40nG5Y00uG00zbJI5NgqDEYs+iWS2xYXSRP3jdIg/ut6ITi2rHX1/xudZb3vSypwY46PbQ3Qd6b959YN25K0snzlixTu/CKXsG1YpJrWxQK2tuVPEiSm6E54Q4lga3ZWljxDRhNAol+fzzeAjYeZVSFpQT3XMSE1nwz58rc+VXygm4CxFbFvtNjBzcUqsmucfJU1Qsh4ekiwrKUH61nDa+TMfo08L2AC1JgTxQ1Bme6MkjYDb1U+DmgyNuFCI5Sa+KHAC5dtBKFHhJpqiI5HTSQIl4zfM77Nhr8p4PV3U1c0A2ZADscQJyJRPDIqGIlCCSCkMJQgFG4oFiRclqSgO9Tc0CPyRZIRjqbWuBSc83WOxK5loW+46UUCrk2Sc37n/0ePvNbb+y7Ou7LMDt5s/wxS9cGb38OZvVTbfNMD8HtqWBXa0IqiVFtRQl4A7xnBDX1uuvTTNKvLjjrAU2B0+S1GSS4RAHz8Cdc27DiMBSXHurxyeuLdGXw+X3Qc6d8u505V/m7Z2BeYh7swxgiyAuRukh5SErzT8Bsp+Kly8p8qghmgKDwE6rl+mgSQbqIeAXyvhCpS21QwloLDPVr/hshCCJ6ilVMTIeZEcRP/W8Dnc+YvKVW0uJL4paho+TgTxIhh+iJNmXKr8KSqG3ThiJF40ptYux64PrK/p+TM9X9PyYXj+m0zfpdA0Weya2FdLpx3jNk9VEzYh+5ZUvf/oAB9h62vksdnqfuPIrj26pmvPlqTGTRlVRL4dUSiElN6TiBVTKPp7tYyXLVHWyqKNLlJk6ks9rkoJM6+haB18G3CLEMCOkCZ+/2eN339/g4T12QQ4cUk1k2mtCtrDVyqhJwTiTwS7BZYcDYAk1GRgcKCSYQ3eXLU0/LYQXHy4kl5kGXlBZBjTlrAhUuA+FyK0GeXjCF0TivlPsG9ee3AnQJcTKoHgWCPQOyvf+5jy/I+ELN5cSJ7jkP38CkPvoxVFSFIJC8o8K9JMVSiTVTe1i7BhQthQNT1FxFe1uRLkTs1jSAF85rrjgzPris8494xOG6T3hS/ykb8V1X/us5/c7j+ze8c21401JtezjOT5VL2Ck3sOxu7S7AVL6yURPpP8pJah4irIn6PX1kqQ4lln0oNAy+6TgthWfvdHjf/99nQf3OGAXeXfR9sHMJhDshJo4iTOVmcqDIvc7yaZ0RMEkdBlNXHcQimxyJ5veyaa6RfYx/ZqUxVXnaXfh4Przond6+tHMVnmnj+fb4/KposKGC6M48bR0T9GyTgSp9YaIs/t5a3I0mPgXeu2LBbZUpn1wr8Vb/77G528sJaNQxerxoCVHrpunXD0GFUEUgh/heSFlL85pl5AYhoEhDBYXHUqmwVhVUXMUng21kqBRgZe86NL9lXJp24te+OLuE2HYfDKAr1qzjX5/gfbMnXjOYabGuqwejwgjn/v2KB57XPKV20q0+2WkVMkTD4n8iJM3+Lzi8i7nb+9jxTb9vk0UmwUribRcnySdomjSEyFM+OxNCbh3Lwfu4n1dgzREUsgp8O18UqcwsSMGufYwFx9sFV3KyZf7mL6BgxFDDHxYLngXe72XBPXh0n1a2UQNUJK0JJ6ph6mKQqqd59QkznpGNBdH6t1/QqS05MkPBeArTtvg867/sYACrrmpNIimYu8K6Pco8wKPQQUQ9CmpLuef0eZll/c4dX1I6CfUSRkICYt9yTW3ldh5yOGBXRXCwGb1eB9lxdSNMU7eupGRZvVJn++TAtx2V/YPHl/8lYePr/rU7h3Hy2efpnCdDtfcXmfngQqzCw7dnqnHoBT0QuiHMUQhtzwa8OW7O1y4fZ63v77FeEMSB0amBOhqYYQQhWQyuWEovnCrx1v/rs5DWeQe5tuDSaVMKpX2AO8uOtwO9VoP04siPYFlefjgR7Hk/kAT1hDGlwP30i8U9e2CPJgK5Jkergr0JfcQJOtTSZJJlawRSWhMHAtE6mOYFGtSR1gN9lTDXv6ZFv/fyIftGwLe82sLxLHgi7d6EJHXxhU6wyTKQa7RD1HI6rE2f/z6ac4/LWLNhMQyTcLQpO/bBKGlB2VQnLE+ZLY9z46Dc3z5TgvXdDljk8u6tSOLkyPxr4ytWNn/jgEeqfl4y+YNdzSrxsId1p6y7fb44BfHue+xUSarMO5CpaEvj70AZjuC2b5JPzIJI5fdx8scvMHl117RYbyeWOEqkfSOp+2yqfathxYwFF+6zeV3/qbOw0VwP2H0zsGd0hJjgGuTTe0PDwIUk83BXuWCelIE//D9FOZDyed3eqjC7YkeH1ZRBnxSCqddUUrM3WCTSfWkupkDO84jOiS6ddK7UvzD8dDz8kNOWR/wl78xjwKuvc0jInkD4lRlETm4sxqBYLQa8NKLQMoarUWLMNSODO2ux3zLpR8YGFLpPK/U53lntZlqdvjg52vc8+goL3zRCxZGx9fe0ZqbHnpW3wbA16+aQBrmiRNH/Fer6mnX//PVbevw8RKnTMFoRVEt6RZZ25L0+jH37w/pB4KqCZahX+C+KBNGJTo9iyA0dTk2sTPOB4t1BFeG4rpvebzlfXUe3f9k4LaWgrugdReLOlkUZyixZFgRYUkELtLGZe+LpT87jHaxhLYMApcCSJeAeqDp6gkUluJJMdCoJfLEs2C+lN2PJUrGhWivdyrEaRFIxksALaSehB84+iEnrw3469+c59f+Cq6/09PbwtPG+jSkC6GTfyGJhAuUOTLtoJSHIF8i1utLduwv0e2bOLYuINbKIXMtj9WjbV77HB+zclLQ6wWvFubICbdUfzIIPznADdPiwUf2Um9uPLR1Y2/3aWsf2Wr4PaZGTZqVVDaUNKrQrC0Slxb48jebrK7FVF1F2RE0qgbHjq2hZOgE1bV9pNSvUsq9DSMEU/HVOzx+8711duwb5twGeneOXDZyp+tGBqjJEC2Ry0bowdtAW2wBq0WNe+DxAsj1w+nGsqVqyhOCXOVfHODlGSdPty3kyknKZ9OoXOxrSYZ0hjRxlQfgFNCAiiV6a0/qUaiXD2SRfJlT0hgCuebkEVvWBPzdb8/zG++Fr91e0pFc7yzJXqeSoaibiooNK6uj3P2oQbMaUfFCKiWf8Wabu3YtcN3tJZplqFX0fEGjYjC/aLHYlSx0y5zzrDN3b9ty0qHW3H5qzXXfOcABpDS4++5v7KvVar+4/ZSTb+i272F8xKZZNWhWFSO1kBVjXcZGTvDoMZ3k1VxFsyIYqZlMjVnMLdjMljuImt4+bFn5IKnlhCAjvnanx2++t8GOAzbKLjZNFRLJTB4cBLc9BO60mWo4sSxG7oHSPEuBXEwuh3l6vn46B3sO6+WOJycvww1YKLIFq8NNWbm1RAG8xZMFllCaVA9PZes4kfFkWllMOb2eHta/ZADkxcuLyECe5ZCA6sPm1QHv+605/ud74eu3l4njCJwIlPYxdCWUbcVYOWbEM9h5wGLluMVYPQCgWTXYe9Tnzr0+UxXBymZAs2IwXzVZWDSYmbM4eftWwqjzi7ffef2+004576ng+9QAP3nLGtqLHcol7/DUiHej6O2/JA67TI0F1Ct9pkYXcd05/u06wYe/MMmKqqJeFjSrBiN1k0ZVYhohYaT98pQiaaKKcR2fQ7OKW+8v8Y4P1tmx30XZyyWT3ya4Rd7yuixAizo2g0Am+1IOSjEUjpdSm0Ee/m3p4GLwLlnEHoRWlnAWy/bDJX5BgZOLQoKabiXOp8tUdhKlETtONOykOyr9PDutBp+4IZMTBQCJFBLVl2xZE/K3vzXH2z8Y8817y+yfleCFKKVbEU2hPeXDSDHfinAsEyksPZvplnjjC7pEnOBjXx3nRMtmZSOiUdKBtNlscEbltBu3bz//sN/v4Ljlp3yJjaf8DuBd73onr/+Zl8xUyuVWHPv/rd16hM1rF9i8dpb797b5j2+Y/NtXJ2hYNquaipGaQbNq0agZNCqKejWi6gWUXB/P9XHtPtVylz1HIt51RYW/+WSD/ccclJ3viM/L8MbTA7cccqISg0nmkt5rsYyiUphYz9yrsu/J+79Foe87+5pIHpd6XiZNUrPJepE/lv5Nin+b5HezDI1K/UUGJuwHn3PxeeaU6wn6v4tKT/b50FlP4ZuLJ/uyp3ja5CBRsWSsEXP52X2mpkIe2WUxM2+CZWFLg7KlFwrbZjKfIiVCSm2+j6TkSs4/uUO1sshsL+buXRZKhtTcDuefewar12z87V179t20aeP6pxVDnjKCp8fY+Hoa9eYdB4/OXf3IN3e/4vZd93Hqph4f/XKTPYfqrGkYrB5RjNYkzapJvWpQr0CtHFF2Q1wnxLH18tVKucfeYxF//M9VPv31Gr3Y1tOnWVFA5rSkIAWKpDpZ5NzZhI4YWrXNEDUZeqOzyLQMTy6++TltUVlUH+bpw7hQKdCe5PVM3Z6ySCwKUXjJNxf2Sqq8wzD5F/Jorcijv8pXjGQ0J/3dSmQ/n9KVtOqJjFHIzKFKJ5sJfRmAen4CaO8SSSxiZGwQxwZjtZDXv6CDYyv++B8Fu45adAyDTiAo+4pOH9rdGNMMMQwLKQyksIEqK8clP/ecGS497QQf/coCJ62C07eeysr1665eseKkO/q9WZ7u8bQB3hyd4Ovf3LlvYuLs32jU7zVuua/50qtuDbBUjc3jgsm6YqRq0KyZNKomzSo0KhG1Ski55FPy+nhuj1p5kQPHfd7xoSqfvr5Jz3DATT0K0kwuRUzeGZi2vqbgTt1gzcLo2UCk5olL8cNl+SVJoxjAbfL4kB/4ku8T2fMcOEEY+kUMJpYJ/pYMQQyOpuU/t+T7MpF8iMeniasSAzWWOKFvqaQoE5CnSXacDEJkhB3yoo1CN2KlTrTITEsnGWCO0FbNQWhjWwGvuiSAaJp3XCHZfcJgTjq4psDqJd7zMkz6s8yk29EmigR932DV2Cy/99PTnFho4Ivxz5126lm/Abv3C3Hy0wb406Io6fGRf/5bfvmNL5s/5aQN209bdeiS/Y/P4+KwZlQwVjcZrds06yYjNWhWI5rVgFqlT73cp1bpMNpY4OhCj7dfUefK68fpm1WwXaRhD4yY5cBObZF0o44jdSEn8zVJKIkpB6N4UUVZMipVuMQPdBTKwcczGiJSapBSltSkJzXgFNl4mSw8lo6o5bRhKUUp0oXlntuy00UZ9VGF57KUqoiham1R2x88UrAONX9latBg+pzdH7gSpq242vcwjC3CMJGFlckpGwMmR3rc9ZDg2LxNbFiZ7UqaXKg4dZo1CGODMNJDLA/thxsePpNzz3jeVQcOHL1q1aozvx3IPv0Inh6jo6tZtWLle3bseWjj+vHgp3reIs2aRa1i0CgLapWYWjmiXgmolfvUyj3qlUXKXou7HvP5p883+dQNE0S2R8XWBphCaLvcXgx+LAazpuRSn9KRvL8ktTxW5O5TedRO35Thpqni8YQVxSEqkr6hS0r3xe9eErYLP/cERzGQD4CrqJwUo3kx+Sxo4OkvGHQwWPps1MAnIvs9Ionwep+lrpQKFeszu5D6ps1ZusVWV0+FENlzzQAeGVlLRq8f4To2r7ioSxxO84FrIu7bM84R5SYVVW1AFEQhfhjTD5Rui+1ZLCyWGRlpcOk5az9x8tYz33P0+KFvF67fXgQHeO9fv5eV257dXwhXfeGUyUOXVdxwrWMZjDUEY42IsbrPSK1PvdKnXunSrLUplxb4j+ti3vzXE9yzZwLL8Rj1BE07pmYrSoamHAB+yicLCJEybaBKJnQSe7VsxlIW7NaKQ7pyEIxLhheWiZBpdBZiMBmVhQg+mHQONlXl0Zs8wZQsieDDJ8+SaMvglWOgulp8XkPtB/l9tWz0FoWzLhsWy4zv88dEMRlInlA+wJy7IqTTQCCIYwM/tOj7Dr2+Td+38UNLl96VyanrY159+QIzLZ97dzi0QyvrjwkjRRAqwkB7tPgBHJmRzLQbN/3SG096zaF997TXbLjg2wb4tx3BAX75tS9m7667OnH8Qv8zn/08lVKLdVMBE80uJc9P7LW0Da5ptvm3r0j+8KNTdPw6Dc+k6cSUbYWdWHdFMXR86EUi8dWN0GUJQ0fMpIdYkncGpuA2i0WdYrR9ikMN3Rj6PD/B8tvAqhIxDFqxNNo/3aOoX6fRWqjlIzlDEf4JjvyEKUp8+R9SQmSVyuzXCJH1yyulFQ7dDaszUYEq1G5E8hok3jaAUgZRZLDYdej0dT+JIRW2FdHr2/ieRbVs8o6fbWEQ8dEvT3IgqNAKDMpdhWMoyrZioh6yZjxmw9pRnvP8F/nfuld0zjnrhd8JVL8zgAOsXnMScRzfvn37GRdMH/q657rTHG/3GTN6bBoLcKyQQ7MhX/imzbs+toKuX2OqImi6ERUHPFslvhf65Z/rKA4tRii/D3Goubhh6b4JKZEFKpKC3JJFepJLb4LBS/gSi7Ri0UQUvnGIduQ4FQM0pFh+z74nQZQsfM9A4WgZTGfJoxgqvS+pSi7zP6SfF2jJ4HklCuBWQ0DXvyRdSZMmq/n3Jq27Kq/mmJAsu4pJJzpFUom2zBDTiDDNgG7fZmbBY6FtoxSYZoxjR5QcEz8w8UODkZrkba9vYxuHuea2JrumqyxYsHllQK0qaPcN2n6V7c86s7thw4bbxXc45/pdAdy0a8wvdN/2rDMvVl858eBvffK6E+7tj41QLbX5qcuOs2lVn3+8us6X7hvHMKusrMKoF1NzFSVXUHLS9W8Sx5asMxTbtszhWMe5b6fg+nurQAmkgUAb95jFxDJdQityL5MMaMmbHsf5Gox0yZFIAJUJA0X5bJljUElZLunLgZxe/gcqnkMnRAqo9HkMnIyFzsGBhiqKc5gq+/8GOXWSK2ZRtdBUJvOIntGJ7CTS60qK8BdCIWOFMkTGpYUAGSu9aVjG2fdZVoBr9/jGfSZ3PVbCUDZx30YaNq4FTuK00HNN+oFBEGqtvFGVvP2NC1x+7mH+79ULbFoV86pLJCWrxq33S8zSht6ll1z4vpLn/IFpP/FAw1Md3zYHLx7v/vN3qmD8khtn22Vj/QgX1KxF4+b7XHr+IvPdmM/fPE4varCyCuOlmEZZ0SgL6mVJrWxSr1o0aybjIwbb1ilecVGHV13a4qytC+w5DLsfd0DaGIaBJ8E19EiTZSisxLzRMhOqUlgxkvJwUnAkfRjDiVkWpZdwWDHAZweskYsqiRzk4dmqElEsBA1xbjF8NRiSKIdPpOL9NL+QgxuB0+daHN4Y2BBdWNYrsqtF7iAVxZIoSlYQxulWDlnQ6EX+95OBClNG2GaA5/T4+t2S3/3ABB/7+ip276uiIi09BqEgCDWoo0gmQy+abCoEZS9m9USPhcWQ806JOW1tg2tumcT2Nvov//Hx94yWdv2pVT0n/G4w+h1H8PR4y8tafr1ef/e+vU3/DvfEn1TLi/L550uOzRlcdbOEto7cjRI0KpJqyaBS0huUyyVB1YN6JaJZC+j5krl2iWdt7PLKyzp89e46SsUDJj2pgmIXwF1MLkmaktJeCRErYtJ1iAUgZaApRsqhSJ5G1IIcM9xMlUt+RSlwSBosAJpilE7upvMB2fPLNOfBGcuB3pSh9yGnVEMeLwXn3hTcIkkqtU2DIAw10FMz1fTnTCNZdAVZ56ch0z07IGWMIuLKb9S4Z2edes2iZMfMt/Uqml4/ptwzKJcM+r5BEAqiSAccIRVlN6Dd73Hjg1WuvLHG806XHJv34vrYij+5+vb1711cXPD5Lo/vGuBrt72Wb93++a5TOuXqdZuqf+wHt+DIcaSYoVqWmKGiUVI0KpJGRU/lV8sGtRJUSopqKUxuAZYZ6YgSGdgyRhIRqbyQY0pdHLAMCh+LI2MJhpQgiHQjUkC+7ChKLrf696mswb/o2JqT9MHIKyhwfFG0VCsqJQVgy6G11cXzJlVAkytLMlSTG7gm3Dv9KMifY2q6WaQxRYRnieXQlox0c7SAbHwQIIolQSgJQpFx8jTqx7FCGfqMS2VY04izrR3pqe5H2ipPSoEfClpdEOhVfj0/pu/H9H0zieSgsJFSUS05zHYdorBEf7HJrkM+z7v0WWr1yjVXd3vd7ive+PLvFp7fPcABVq1aw+TK0cfm/dKb44r5f/ccvk0eWbDxuzbjFZV5qeibpF5R1MsR1bIeXC65IbYdYpnJAlolieJ8/0uaUGa0xNBe5baZbrnNZyVFIsSYYbLIVin6gV5PlziLYUiFldg5CwEydWpleS6uQa49tYuFn8FImVATWew7YYiOFPSMQk6QgVxA6gQVizTBTI1xyG2IKVYwRfasM9eCAd/1OLPPSzdqKCUQoUqALen2DfwgLbmn0VsRmQmYSf9HgzCKiWIDpTTNQIBIHExj9LaGVk/bQHR8RaUf0evH9IKYMDSJYoMYAyFsym6JcqXL6tEYD8UvvObseMXq9W9u9U99bFR8+5r39wzgU6tO50u37vBb2y644pT5/aVuq/LXX79/nqZjsaIhaNZMmjWTkZqkWYtpVkMaVZ9mtUet0tM7LUNDJzsJN1QkDuxC2x7bMufetkUCcIFlCswE6HqwV7/lYQRBFNPqw/GuIFTpzKbClgKMNEon0WmgJbUI7ORzkZv65Jp5UfcuVC9T/Z1cOhxQQQp3UsqQbiUDSCfTs6tHWkpfRiYcKhnkPTiFAWQzcRdL1y5qkGuOfXTGY65tEiWTZYbUa1wsU2HFoEyVXRl0BJeEpt6DmveNa4Iu0Ytc53qCfqQn4xsejJYV/SAkDHVRRykTMDGMEiuI2TjVIlQVDh51/9dzn3/hFXH/vshwT//BATjACy/YwvETh6PqxS/c9ZVvjLdC/2vVLStalD3tgjVal4w2YkZrPmONHlOjbVq9Nrc/pitXGydLjFYtTDMiimQiMUgMIQait22qDNwa6ALLSoBupICXWIZgtBkwsWKeBx8PuHtHmUA5eJakbCYRTygMoU1plByU7nIte4iqpMAuANpYpsCT/Y7CyaKVHTUITJVcHVSCzHjw5BJJr4dM1oDERTq1zJFGcEOk4I4xTS3l2VaAY/uAzz07JTv2Gyws6GTQMnSgsEyFZWpD+igWpGv89E4fA8OIsSJDb77OqI5+YVxD4ZmKRiNgzaoWfT/m/r0Vpo+5rG4o/FB7yscxKEyiyGJmrsLm1U1e9pJLWhMrztt19Njj0dTkfw24/0sBDmBaHp0F/3PPu/i8/2Eo8b5bbrl+ZLHVpl6RjDcjJpp9xptd6pUFTrTbfOjLHlffMMZYxeZnLpdctD3ANCKdaQsJwsSSUqsnpjaDLILbsWUGcNuU2JbMDEGrJcXaKTjn1EVavRP8wQcrXHPnKItUUMLQyWqc8HoG9fEiKAeqgEV1I1Uw5CBFMfL+sDyvVPk0TXo/davKgZkklOnJkT2BnLLkG9UG5zGXgpxkS7Q2O9VDJgGu3ce2F/nqXYK3/dMUCwsNzjkpZs14QLlk4thaurUtiBIlRKVnPvr/MoIY2zQIbYMwNrMoLgWULBirKC48WfKa51qM1Oe4+pZF/vlLDQ4uVOmFkjCKUSrQlhhCIOtlNm69dGZq1fm/2W73Pjc68p1Lgt9zgDfrDQDmF+b/9fJLzzerpeA9X//6LeNrJuZZv7JHvdKlUmpx7bd83nfVCHOtBpvHBFtXGTiGTbujaNa0ja82jDVxDIFnxrimpiaOpY3RXVti20JvnjC1lm5bEtcRlF1FoxJTcmLmFkqsW1Hinb88x3RHcPMDJj1ZoisSc6C4YND+BGr4IAdfSkuMZIta2o+e9ZWTJ43EJAmWIFbxQCRPf3+qWKSMOk1ONbhFsqGBZIV33kOY8fFCkln0OzGNRNJzu3zzoZj//YFJ9hwfZeO4pN+PmWuHeilrEpWjSBDbIn9d0qZCqTClQd80sX2TIDQJQ4Mo0M/aNqDqQa/vcedDFbauK/HyZ09z2elHee9/9rj2m+N0A4OZjsIPAzasaXLGWRcdP3X7hb8XBMG/jqwZ/y8F9385wNOjXqtz5Nj8h7eefJEkOPrnd9zzjXFOLPLijXM8fCDivVdNcuJEk20rYM2oYKRu4bkkBjiKVkex46CFwKZkgWcpHEvpwoGtwe3a2r7ZtiS2aWiw2wIv9Sl3Y0wzJo4l822Xk1a3eeMLF3h4d5lp36ZvWImykgJcFVSUYf051bdz3Tlb6Z2AW68gzLVoMQTwiDQiJjsrI5VF4pTbxypJDZLvTzXzKCbzucxoSpzchio++YIvzZkNQ48J2lZAqxPw0S9VeGR/ncaogSliggh6/ThJ8PVviZWe1Ez3cGrtWj9RnYDG2JZF37eJPZvNqwNqpVAbPCno9iJOzJmU3RJCwJY1it9+5RwP75bcv6/OCzcGjDcVTv2845dcevFbVRR92HYa3wsoDi6h/a88pibqiPZnr9iwRv7uwdk1MzfdBw/sC/jMrS6Pn6izcQKmmjDaMGnWJNVyjOeGlD2f6XbE9feUsbCp2grPAs8GzxZ4tsR1JE6yWcKxDV0NtQSuzcBmCcPQ73wcS3odhxed6zM+0oUowI8VQRHchedepAdpl3o26ZNFcKl7NaTQxk6Jk7ORfG7pIZaC2pOOiqWNRTF+GGuDyUhpdSK55S6r5JbCMRngUmVD0yqx5LlnUTzbXBdhGiFH5xSfv72MLFmYMj15lDa+DGL8IKLvR/h+RN9X9PrQ60OnL+j0JN2+pNMz6PZNen2TTs9GKYcfO8NnZa3PYk/3FLW7MbOtiGNzBkemXXYfbjLVKPHSCxbYvnGGi09t8ROXrphphd7v/sU/fuUKaVafBqK+s+N7EsHTY2LDa/nUJz750bO2nuTvPcQHbr1fVB/eYzDqSlY2YLRmMlIzaSaeh9VSH8fu8eAjsPtYhZonqdohnqM0uJ10D5Cho7cpsUwtE+qEU2GbKluZYiQlZaUEUWxou45Qu2/FShEo8QRJW7qPZ3C1xmAHYUJJhoBdtFtL1xDqpiNBGEEUKfq+1oiVUsmVQWW/TxmJ3V8y7R4lV45IJFJiopmnu96zCm2Rz5M2WanMb90wIixLEcQWQki9Xx59AoWxlvWCMNmtFCgUEXEstbVxlG6s1vHQkArTMHEsi9aix9rxDidvaPGVu6osdAWtTkypFSY5koVllhiv1zh5XYsjJ2zWr9zUMuxtv759tfiPF7z4Fd9LCH5vAQ7w6KEwnmuXPrFl9bqw7Bgfje/d5WyeFIw3JaMNi9GGYKQe0Kj2aVS7LPa6XH1zmVa7zPqRmLKj7SfKnqTkSUquiedoamIlyx2y3hQz8fNLPfyydk5dhjYNySnrfXYdiYiVSkrSQ7lloVyetdzKIaVkwIMwAXcSpc2klaAIdL2mD6JYcHwmorUYESXSn/4egWEoYikH+r6EUIhIO7MKAUac9NfEWuPXNEXlSsYAVSkUfITmMw/tNfEjQ89Ailw1Sj25w0gQhnFScBJEocIwBYEhCSNd7VRIpDAxDLCtmLm2x5rJEi+/qMXNj3Q40alQdXQHoWkGWIaFlBae0yD0I9as2NqbnFj5psvOEZ8+eLgVPz0U/QAD/A/e8lpOzE5H5ZJ7y579h1sP7ryK9swhx3UsxpuC8UbIaL1Ps9ahUW1x+46IL981wkjZoO5GlF1B2RWUXEnZMyl7BiVXJ5opBUEVuHEKqmWUjHIZXnV5j6/dEdNOiifDKsSgckKhHzuXAI0CuNOFpqbUBSjL1CeaZSa6vRljmYqyF+G4Abc9ZDAzKyi5yc+ZYBkCKxYoM7dlzRNbEJH+22m7QfFW3FiW79gsgDz5Pf045qrrSvQ7ElnOX5M8L8hPnChWqFBTOHy9K8cPJFEyyCASc0zLNHEsm5mFMs85o8cpq+e45WE9yKKvoGHyWpnMtUxO2/as3mnNsdd/5GtjV9+1ayF6y6/83Pcaft97gAOUqiO4BodHJjZuv+isiUt27Yn/5fDjR0trp2JGagGjjUUmmnPsPNThHR8ZJQhKjFa0eVDFk9p4v6RL/JWSbtLxbB2l+4Gg25eFnubBcrW2ZdNflVJR8oplc50GqoGfW2ZiPZMExRJ6ktKSDNSmwk5yACdZxuW5IVMji2C2ONRqcGy6zMpGjOeAEwliS2Xdjgq9e08DM0ZvJFYYsSCMNU0x4kGwp8nmgF3E0KGUoNMTue1JoVA0cKInF4M4hp4f4wdaT3dsHd2j2CS1iTClhW3GuI5H2Svzjp+b59f/3uGxg6NJNTqm6weM1CKm1q7qtMKpn3/day67asOK29Xp57/h+wG9712SOQBwUyCEiHbe/W9Hrr7G+NTqlevedOb2sflKeZZGpY1pLnBwZpGrb7Z4YEed8bKg7sVUXEHF0w1a1ZJBvSIYqUWM1wNWjHVZM9XGc3y6ffADoR2XUkkrA2puvB9FcOiYNgrV72UmyA3eBroLxVDUFlnvS6qcpD0ypjEIbteOKLnaW69W6VJyFvEDn9muZKEn6fShF+jplSBMJlqi5JYoLek6j7RAEidUJ45TXpwmn3kTFAy2v4JWfVaOR0hDc/+YnL8XOZoh0XsoXYOOD/tPKA7PxkwvRMy1QhbaIa3FmFZH0uoYtDoWrY7DXKvE6SdJXnPJcdZNnqCjfI63oB30Ee7E/MjIqjeNm/Of+pd/u0mdfv5rvi/ghu9TBE+Piy//WT539b/zhYfkx8fKJ1nrR9a+V8k7Rr/4VZ+H9o4Rx3MI26DpKqqeoFqSVEp6GW29ImhWQ5q1gNF6j6nRBQ5M+9zx2ChB12JyxMA00oahQk9GoeDRasEVn/NYjCTCJI/aiKVdeGm1sliSTylKIbE0ZEozyGhJumHOsSNcJ9SWdU4fwwggDukEinagq4f5YlxRkPfi5G9LZJR/PVVVjERhieME7MNbHiDrOgT9mG0KfuGlPT52fciCrwhV0mGZ/LwOCgLTkJRcg8kRydh4lz239dl31GN1A8IwJlZh8hqZWkEyTRzbpuR6+H2LMzcrTlsruWfXHA8fWMcvvXLb9Bknq7eMjLc//vH/bPLGN7zu+wm57y/AAV76itcCEAfzHxWmZV51Te3d+w/fOv6yc9oc7Vjcv1vQKCnqJUG1bOjOw4qgXtUttePNLqvG53h8rsX7P9Nkz16b09eG9Ksyi2h5Ja+4ojDCtGKCxPU0m08kBfpwm2nahlswvDek7nkpRu8kcptmeosTmhLrZVxWiG2FmEaoW1ZVRD9SdENJKRDZTGk+Ja8KpkPJ47G+RRFEUhBJEq6cLmwSA/QkW1OCyLwLUWAaMWEYoVSkJ99jQaRyeqSTXoFtadn2wk0+a6dm+IsrK+w+1khOhBgpwuT1sDANiW2ZeI5Dt+dx430Ox45M8NoXCl75snOPj028+Pe7cfBR4TW+31B7ZgCeHtKqc/DI4ofOP+e5oulV/vzRhz8/ftfdJpvGDUarQm9xq1rUK5JaOaZRDRlt9Fg1Ps/huQX+9GMN7npolO0rFdJI+xtElmiaMi1y6E0Gthny2OO6cy61o0ia9wboSR61CwPFRl6tzLY9JNQk39yskkUHGuS6/yNdoai3xJGoGUrF9COJH4GV3MIw+b0RRIbK+HYawbXNdDKgEEGYPIdicjhcecx7zvVOTM9WrJvweehAqNdnJxJhejVI23ilgCgSzLU8LjnVxbVn+JN/F+w53kBSWP0ohVZUpIllOuw5NMZpa+e4P1SUxl96fPv2894K0YeEeGbA/YwCHGD1VBmluleMjZwXTnf6f71x723N+rpDHD5eZnLEYqQucKyYaimiUekzWm+z71iLP/14ldsfGmXzKFQ8sMw0subrPExD7+g0zRDTCLA9n2tuszgxbZP6VEvIaEoxyRxcNaLBbRi6mSsr6iQrRjL7iuRvZre00cnQO0KliPJJBhXjJxYZTqQ7H0NDb/01pMCINGeO0oGFSINbRoowifQpuKOkABQVOHmaXWQ4T5a+To4oXnp+h4ceCwjciG5oJkUmzfVTvh9FOqdpdSyOTFe5+JQ+f/pzx/jjj0kOT1d1X5Clr4x9H8JIW2g/vN/kzG0n8Us/e95spXnO7xyfNj4yMVZ6JiH2zAIcQAiPo9P9fz3/7ItmTH9uU8df8xfc/4B10po+8x1BL7AouREjtQ7N2ix/9K8ON907zoZRyWglpuQYui/F0tXDtNBjWZFeRmsGlEp95hYj7txRpRNYugklJSiF7sFBakJSpUxuaVvugHpS3I2z/JVDb3SOEDLdD6IBHijwk0GMNIpGEcQGCdjSCJ5cTaKEroSKUOiTIIzAjEjGzYZUFDU4RBTHugJ89tYejWqHuZ5D1zDohbpX3g8VQaTwQ4UfxnR9g8WuwVzLwXPqXHpawG/+5FHe8rcWxy2XmqeYaCpC1WfHAUEUSc6/4IwgVpXfXbX20l2O41wjhPtMw+v7o6I81TE56sQPPHbic2rkJ/5h5eqzfu0lz392NL0Yxdfd1aXXh3rZZ3xkls/dLrjpwXFW1k3GKzEVT1BOKptOUqa37QjHinCsUFtXlLp0+33e+ZEKX7ujSmRon3FF0h8CGRiK0/lZf7mpC0RZ9DY17y72nch0RXlGV5LPs/2fRblSi88a2CIryWs+nIM7TyKTr0eKMNQl/TCKCUNNa8IE6JmyUkgui8PHsRJEoclzzw54289P03BbdHshrVDQCwR+CH4Avh/T82O6fUW7K1lYtJhe8Dgy3eTCbSYvPn+ao62A2Y7EcySXnd1h09ogXr3x3Oi0U7b/2itecfk/OMbjnxPC/Z4XcZ7O8YxH8PR40WWbOH5kh2+aE/9qRt3rv/qt+ddsWjf7Z6vHD7F68jhfuFPxfz65irrhMF6JqZe0hFjyDDxXN1m5ToznRHhOgOf41MpdemGXv/xEiX/67BiLgatDsFKoOCaIDSKVLswmGz1LZcE0ehd7SixTZRXLbKtZcfZRptvPku3OibWC9hZJ0RcTJa0CQaJvR5FKoneucUdKIZPIrqNxMpOUnISGITEj3QIQx4Io3WIn8kQ7HXKQQhFGFp5t8Is/ERBGx/nL/zBY6DbxTIHnC1xL6b2U/Yhuz2DRlri2gWXZGLLMSE3yW69eIGKG6+8aYeJxk2eftY6XPa/+R48dXfepkKkDd90z55995qnPNJyy4wcG4ADjU1sAun/1gc/s+KN//fF33/b+2+0N4+233Xrf48Y/f2acpulQqygsE8qeSKqaBiUXSm5MydVOtiU3oFru4kcd3vdpj7//zBQBFWxPEoc+dtQhUCG+KOFbsiAtanBr+pEMTlgyH66wiuAuRnyVzXkaUiGNwvZmIx8Vyw6lV+aFShIpvaO92FSVb2XQETndXalPRYkiJvUnTEf28n6RVCVSevLdCnDsHkqEhIHHYruMZYb88ksXieJj/NWnLGa7NUqmxDEjHEvpAlUvwrbSjk0TKaDTsyh7Lm96wSztfpdAnBYd66x+56sva7578sHD0aYtlzzTEFpy/EABPD1++1dezt6HPx6tP/kNb1fqkKkeu+F/nb35IadiLXLgSMBiT+FYqUYuKbl6l0vZCyl7fcpel0p5ka/cDVd8cQJD1FhZ19S7OR7x/DOmeXif5LO3TdINy4XCTxoZBVYyQOFYAsdWuLYGeNpbko2zDQ/6puNiKUUpVlSBTLNT+goSJKXxtFtQoQYawFIDIBUlvDzSc5KQ6taiMIGT0hP9ty0rxLI6fPYWwQP7alx2msNUo4ppRIw3bX7+hXN868Fprv6Ww4zl4BgSx4yT/zeibQgs06TiCmIPjk1LDs+U2bi20X3jT245sHHryz59xpaxt3fD/+S3f/W/PdOwWfb4gQQ4wPqTfwalprn3Qfdt55/3YvmsrVsuuP4bn5XSCS94ePcRU4oqzZrAdWJsEzw3pF7uM95cpFZuseugzz9d3aQdVFlXh5W1mImmwcVnevzkZWXa/RkOz81x+yMeYSmdJk/danVSaSctuCVX4Tm6J10IRRhJwmhwLjJPUHOKki1SFbGmKCnIk2buIGnZTfXotDcdyGhIMhtNkKgbQuiRMr0pI8I09PMMI23JkP68TGwZ7ngU3vqhlSy268wcE1x6usXkaB+lJJMjIf/95W12HJ/lkQNjxKGJITXVq3gC3w+YW1CMN2Ch16KnJsLI8r45uu75D/j9vf+jXi2rXYdabFr1vWt3/W6PH1iAAwgxmn761n2PfpqXPPfc6vzCzD/depfx33bu8mXJm2HvYZuTVnk6EW3Osff4IuvNFt96xODaW+tMTpmMlSPG6oLV4yaeLdl/pMn6lT1eeUmbO3YGBJGTRW9zKHqXXEXFiyl7EZ4TYRqKubZFd8HMxHPLSGcwi5uGo0Qi1BvkNAcnOSOShbnKohcJSkaacOZjbBKdB1im/t2LbcVCR1Mk11ZZQcs0JXZgEISDNMWQijAK+c8bS8y3K2wdE/S6BvuPWhhS4FgRJbfMCy5ocdXN88zNCqYmbA4eq1KyBavGBWtWdNl5MGKhM86ieVIszA1XNsbrv/TQY0db//NNP/1Mw+NpHT/QAC8e67a+imNHHmmtGnF+/Vxj685q9f7TDhw9/Ir51kGqnkm9tshtO0L+8TNNfvXlcNLaHps3RfQ7iqoL1cRsyJAKP5CAxfYNXWwzJFZOon+n3FtHRc9RlNyYajmiXukzVu8izS6P7B9hvlWh7AkqgGOhOxqTymMKbL29QN+kjBL9XaGtnwJUbNOLLfoRuAnFSKuKUoJlCjzPoOJJHK/HvfcEWMJmspp4BAqwzQjH0r4meg9SWs3VQ773764glIljKmKlWOwq5hcNah2LMLJ4aKfLjn1lLjg14E0v7fJ3n43ZtafOXCvGNOD8c9ahxIqrzzn7zAcao5N/E/i91paNm59pODzt44cG4AATU9sATnzj7gN/uPLUzeus+mOsHH/sFXZ4L0dmF/jYl5pYUYNDj9fYMDnN9g0h9z6kkpZbPa9pGjqSRpGkHyQOTaJQnTQEVhK9XUdH7lrJZ6K5SK06zaducvjGnTGrRyNWjJk4lu5/yf1EomTIN8QyA2zTx/N88CKUJSFUeiW0FOAahEKwKA3cSOAlXJzE7MgyBWXXYMWY5NypkMia5dM3NoiVixQxlqH7XZxA4oemlgvDPIoLAcIS2f7VMFJ0+zHtjkG7Y6Fig3v3lGi1Rzl7vYPyY15/+Rz/51gb25tk/abzOO+cjVevWb/6N6G3T4g1zzQEvu3jhwrg6XHZmWvotGb3mRtO/Z3du91/jcJ1v3HDt+6+dMPkIVY05jhwtMKJuQDbDGiUoVaWeJ6B62iZLzOjRK/wyCuWOnpbpsCxoeTEVNyQWqXP1Ogcn7wJ/vEzo0y6FpPViCA0s52R6ayiZUY4tp5gL3tdMHs8uFcQGzaPHzZYuTJkOx2UNHhsf0w/ho4o4UiJFyYgz3i0fi62pRitSt780hA/nOZT101RtqWeU7UVnhMTBCqL4uGAD6A+tFegou/HLPYM5tomc22Hru/SrFqsGjO45taYM7et5E9+bRWV2jk31KrVv3GrJ9135Fi4b8Vk/Zl+27+j44cS4AClahNgZ7evdpoGD1x3b3/Fr77x3H88dOCek669fqex93DI9LRk6yqTiabEsQWupadQpNRFFy2lCb2tzVCYSVHHNhPlxInxvJDReocjc32uvnWEbseh2sxt4jR3TyzlTF09Lbk9Sm6Hxw4FfOzrFa65qYTfEmxb1+dNb1hg29qQfsvgCzd5fPSrfXY8Di3KlExJKWmZjQuzliqGxa7FmkmPl50/xw33tTnWqlN1FGVf0Q9iXYkMJX4C8DDShpcpp4+VBrgfxPR9xZEZib2vzFSzzYaJDkKOcPL2Z0Wbt27dec62mV/2Ri86DOxYuvLkh+v4oQV4eniOANihwtkdcRy+wDLFql8+6YIrr7/lK7VaZbp8wWmLtPsh7XaZRlVR9gKCQDctCSFwDAPXUlrnTiQ3y9I9MJ4dU/F8Su4iX7nH4JG9FZqeLojokyEddEgitxVS8XooOrzz30w+ffMYhw6XWQwldAMatTlWNGDzpEm/YvOrr4x48YUz/OctXd7zyZXM9atUbZH1h6S3IJL0+pKFRY+T17S46LQFrr65zELPoOYpHb2DWFuxBZJ+IOkHJkFooWKtz1sGLPZhrh0zORpxvN1nzxF4zY9PcPF5U4tnn/2iBT8MXz02svrQsa7ct/6HHNjp8UMP8PQQZhOl1L7N28YOROH8qed0n3f+BefwwYOHHg6/dP1jIyNup1qvTfPwXoPV4w4bVwmkaeBakqqjcC3da2IYuoXVTiZxGtUeM+0+X7y1SmfBYe3KGMfSLaV2ciLYlp5B9JyAkrvIX33K4gOfmaAdV3Adk7ILiyJAmYvgG3TaHnMLJRCClaM+b35phyg+yp9/3Kbl29QCXTYPAj1R0w+gFxgsLFqsGLN5+YVtvnF/j5lOldFKhB8kzVKRdqnq9Q06PQvPtYkjbVbcKAtWTsXsfDxGKYfLzx5phcbmmVVbTjE3OfxibXTdbVNjtfkgJLatHw1www9IL8p/1ZGsEolnpruzq1as/vLYSG3Ltdd/bNOvvPEN7/zxS89+8N4Dk/fsOzbaK5ctojik15M0XcVoRVAtGUipR7qkVDhmTNkLqHgdvnGv4Lr7K9TKAi9x1HLtXEL0nAjbiqiWe+w7FvLFb40SG3U2NQ02NWPW12KangWmSxC6LLRqHJttcvj4CIeOjeL3mzz/zJCNk/PMdxW9UNL1FZ2eotuP6Pah19er9eZaLhefGvNjZ84z349o9QR+Mu2TGo8uLBocn3GYb7l4pkKoEMstc8Gz6r2ffkH5nvUnnfPgRZe+4Z1XXv2RTZZT3zI2tvbLIurPCiF+pMANP0IRvHhMTK0A3bjR2bdvP1Kaf2GY8i9O23K20Ti79g+rJ2a2HDzYuPj6ux831ow6bFkjmZ7vsbAoMaQkVhLXiamVuzx6sMcnr/Po9T28WtKTYglKrqBRiWhUezh2hCEViIBP3FDh8WM1NjUUkw19ZQhCQMVYlkWnV+HodJ0DRyr4kcBzIvq+zYoRxU9ftsjf/2edSNn0A8Hsom4eq1di+r7ADwx6volnm7zux+Z4eG+JuekGU77OCcqeouz5zM4HHJv1sJ0Gr3tem8eObo5Wr95804aN5R2BP/fmvY8TmZbH3/7lP6sVK9d0nun363t5/EgCvHisW7cW8tbocGFu4ZeqZbcZ2Mfe1b7hS/bm9Uei855lnnXHDv/s8sJRjh9v0++VaFa7zHXavPvjNR7YXaZeipJtvFpxKbmCiZEuh6YXaLWrnH+qya7HJTffX6VhG6yfEKwat2hU9co9y4rpCYu5dpXZmTIP7LJRStGsWXS6Jp4d8OxTp/ncN/vQczhjS8Rcz+foMY+xuh72TecuFzqS7essfv+nZnnHR2yOzXtsXOFjWz1agcX6DXXuerTyrY4f3vUTP7beKE+82o/lqv+N6s7WahUAfuGZfmO+T8ePPMCHj1qjBjAL/CrAY49+EdPkUndUPn+yNvvqex4Otk42AgJ5B7sPexydbvAzl/e4c1eb1lwN0zTohxqw/aDL526Fuu1y1pYeyhYYwmKyJlg3ZbF1PdSrbY7MCC6qWTx6wOLYcZtH9kliNcfj0ybNkkMQWozWK6hoEakiTFNwxmaLcn2Wf7tG4oc2jh0lGxIU9+2EOx6a4sfPCjl9i2BmzuaU7dvZttFi9/HSo2s2eFfGFecrhlQ3TG5+DvCWZ/plf8aO/+cAPnxs3voigBva7ZkbgBtXrA03OeJ4/OXrHoidyroNv/3zm35/1NvJ2ArF3fe2ufjUfew6ZBH4VQ7Phuw5XOJl58JCp891d1ocPmFz2grJ5rWKRmOaL33TZLwqeMGz23R6FQ4dM7lnt8+Lnh2zffMiX/1ml50Hm6ydsti63uDFFyxy010l9hwq85KNJo16SBj6nJj3+ebDMW944TiRs4meKBGX1nDhmQfevWP/iT1nnnuhPHlDQ54amLuAL5973uh398L8iBz/zwM8PSqVEYAvp/enjx/HtJzG/OzhW48fDdkSieCUk0Z+64wti8/bd1hQcSVHj1zLmjGH9atMDs87PHbAY0VT4tgRY402D+wJ8KTHQltx64MRfd8njmPOOmkBW5RZmHNZv7LNAzu7zLUE0/MlztsGx2YMptsOc+1RvJrHiy66iEYdVh0TTKy1rjU7s3+9caNpTaw8nXOe/ZIben1/bmys+Uy/hD+Qx/8P8Cc4RsfHAeaAzwIcevwwwCNlJ5z06ip2LJ/e4s2MVA0qZcmxto1jxMFzLjv/HRWj8xPrN84Ex/sulz875sE9BrOdmPUrBBVPMNFsM79Y4t49Ls8+q0/swsZNjrVmjfH5+++/4x31qmnNTJv0fA/Xq3LqqafSqFms3yjlSFUeXaHYc8lFK57pl+iH4vjR0oSe4eNDn74FBZNOeKx+9uYT6u7Hymzf5PPALoujC5JVI4qqB1OjHY7Pudy7x+aMjRF37Ij4sdNd8axT6vNxzNHK+HOf6X/lR+b4/wBDU8CSI0xTNwAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNjo0NDowNiswMDowMKTo/fAAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTY6NDQ6MDYrMDA6MDDVtUVMAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 7}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 27320000
{'hecke_orbit_code': 206275870734, 'n': 1, 'trace_an': 8}
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id: 27320001
{'hecke_orbit_code': 206275870734, 'n': 2, 'trace_an': 0}
-
id: 27320002
{'hecke_orbit_code': 206275870734, 'n': 3, 'trace_an': 0}
-
id: 27320003
{'hecke_orbit_code': 206275870734, 'n': 4, 'trace_an': -128}
-
id: 27320004
{'hecke_orbit_code': 206275870734, 'n': 5, 'trace_an': -336}
-
id: 27320005
{'hecke_orbit_code': 206275870734, 'n': 6, 'trace_an': 0}
-
id: 27320006
{'hecke_orbit_code': 206275870734, 'n': 7, 'trace_an': 652}
-
id: 27320007
{'hecke_orbit_code': 206275870734, 'n': 8, 'trace_an': 0}
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id: 27320008
{'hecke_orbit_code': 206275870734, 'n': 9, 'trace_an': 756}
-
id: 27320009
{'hecke_orbit_code': 206275870734, 'n': 10, 'trace_an': -2016}
-
id: 27320010
{'hecke_orbit_code': 206275870734, 'n': 11, 'trace_an': -1356}
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id: 27320011
{'hecke_orbit_code': 206275870734, 'n': 12, 'trace_an': 0}
-
id: 27320012
{'hecke_orbit_code': 206275870734, 'n': 13, 'trace_an': 0}
-
id: 27320013
{'hecke_orbit_code': 206275870734, 'n': 14, 'trace_an': 2064}
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id: 27320014
{'hecke_orbit_code': 206275870734, 'n': 15, 'trace_an': 27144}
-
id: 27320015
{'hecke_orbit_code': 206275870734, 'n': 16, 'trace_an': -4096}
-
id: 27320016
{'hecke_orbit_code': 206275870734, 'n': 17, 'trace_an': -17304}
-
id: 27320017
{'hecke_orbit_code': 206275870734, 'n': 18, 'trace_an': -6816}
-
id: 27320018
{'hecke_orbit_code': 206275870734, 'n': 19, 'trace_an': -32004}
-
id: 27320019
{'hecke_orbit_code': 206275870734, 'n': 20, 'trace_an': 0}
-
id: 27320020
{'hecke_orbit_code': 206275870734, 'n': 21, 'trace_an': 9756}
-
id: 27320021
{'hecke_orbit_code': 206275870734, 'n': 22, 'trace_an': 25248}
-
id: 27320022
{'hecke_orbit_code': 206275870734, 'n': 23, 'trace_an': -4128}
-
id: 27320023
{'hecke_orbit_code': 206275870734, 'n': 24, 'trace_an': 10752}
-
id: 27320024
{'hecke_orbit_code': 206275870734, 'n': 25, 'trace_an': 4664}
-
id: 27320025
{'hecke_orbit_code': 206275870734, 'n': 26, 'trace_an': -4704}
-
id: 27320026
{'hecke_orbit_code': 206275870734, 'n': 27, 'trace_an': 0}
-
id: 27320027
{'hecke_orbit_code': 206275870734, 'n': 28, 'trace_an': -7552}
-
id: 27320028
{'hecke_orbit_code': 206275870734, 'n': 29, 'trace_an': -30312}
-
id: 27320029
{'hecke_orbit_code': 206275870734, 'n': 30, 'trace_an': 9648}
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id: 27320030
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