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mf_newforms • Show schema
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{'Nk2': 3136, 'analytic_conductor': 15.306866248721967, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [49, 3, [3], [2]], 'cm_discs': [], 'conrey_index': 18, 'dim': 16, 'field_disc': 20931211070948839504626870545327593881600000000, 'field_disc_factorization': [[2, 24], [3, 8], [5, 8], [26414117, 4]], 'field_poly': [3382687241295376, -1764391168494080, -71001031425552, 159706160239360, -1442787680228, -6710427946880, -106524670532, 149847716480, 9192308553, -1169539840, -106136536, 3794560, 503818, -4480, -1124, 0, 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': [[2, [256, -48000, 9004128, 773520, 111548, 2130, 483, 15, 1]], [3, [257940646269567877840896, 0, 9707418244874000351232, 0, 346064210092316298240, 0, 712383790628627712, 0, 1198927856679184, 0, 437815743248, 0, 119514540, 0, 12548, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525334964764721, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 56693912375296, 'hecke_ring_index_factorization': [[2, 12], [7, 12]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0], [1, 1, 7, 3, 1, 3, 0], [1, 1, 7, 4, -1, 6, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '49.8.c.h', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'minimal_twist': '49.8.a.g', 'prim_orbit_index': 3, 'qexp_display': 'q+(-4-4\\beta _{1}-\\beta _{2})q^{2}+(-\\beta _{7}-\\beta _{10}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '7.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '49.8.c', 'trace_display': [-30, 0, 0, 0], 'trace_hash': 263928618206174115, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.150', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1478.001', 'prec': 27}, {'__RealLiteral__': 0, 'data': '274.471', 'prec': 24}, {'__RealLiteral__': 0, 'data': '247759.437', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.506', 'prec': 17}, 'traces': [16, -30, 0, -458, 0, 0, 0, 8580, -7600, 0, -17760, 0, 0, 0, 58432, -33762, 0, -244850, 0, 0, 0, 861320, -96000, 0, -468992, 0, 0, 0, 472560, 193752, 0, -1064370, 0, 0, 0, 903500, -150040, 0, -227584, 0, 0, 0, -506880, -1711260, 0, 4304568, 0, 0, 0, -7170348, 955744, 0, 3678240, 0, 0, 0, -18327600, 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mf_hecke_cc • Show schema
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'weight': 8}
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mf_newspaces • Show schema
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{'Nk2': 3136, 'analytic_conductor': 15.306866248721967, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [49, 3, [3], [2]], 'conrey_index': 18, 'cusp_dim': 58, 'dim': 42, 'eis_dim': 16, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 137573171249, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 8, 16], 'label': '49.8.c', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'mf_dim': 74, 'mf_new_dim': 50, 'num_forms': 8, 'prim_orbit_index': 3, 'relative_dim': 21, 'sturm_bound': 37, 'trace_bound': 3, 'trace_display': [-13, 28, 252, 0], 'traces': [42, -13, 28, -969, 252, -2044, 0, 3174, -11269, 4774, -7528, -5404, 2352, 0, 36712, 16571, 56364, -85967, 41748, -324744, 0, 456956, 186964, 389592, -354483, 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mf_twists_cc • Show schema
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id: 46246109
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 30, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525334964764721, 'source_is_minimal': False, 'source_label': '49.8.c.h.30.3', 'source_level': 49, 'target_conrey_index': 30, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31525334964764721, 'target_is_minimal': False, 'target_label': '49.8.c.h.30.3', 'target_level': 49, 'twist_class_label': '49.8.a.g.1.5', 'twist_class_level': 49, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
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id: 46246110
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 30, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525334964764721, 'source_is_minimal': False, 'source_label': '49.8.c.h.30.3', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27021597898440753, 'target_is_minimal': True, 'target_label': '49.8.a.g.1.6', 'target_level': 49, 'twist_class_label': '49.8.a.g.1.5', 'twist_class_level': 49, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 46246111
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 30, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525334964764721, 'source_is_minimal': False, 'source_label': '49.8.c.h.30.3', 'source_level': 49, 'target_conrey_index': 18, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31525334964764721, 'target_is_minimal': False, 'target_label': '49.8.c.h.18.4', 'target_level': 49, 'twist_class_label': '49.8.a.g.1.5', 'twist_class_level': 49, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 46246112
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 30, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525334964764721, 'source_is_minimal': False, 'source_label': '49.8.c.h.30.3', 'source_level': 49, 'target_conrey_index': 18, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31525334964764721, 'target_is_minimal': False, 'target_label': '49.8.c.h.18.3', 'target_level': 49, 'twist_class_label': '49.8.a.g.1.5', 'twist_class_level': 49, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 8}
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id: 46246113
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 30, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525334964764721, 'source_is_minimal': False, 'source_label': '49.8.c.h.30.3', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021597898440753, 'target_is_minimal': True, 'target_label': '49.8.a.g.1.5', 'target_level': 49, 'twist_class_label': '49.8.a.g.1.5', 'twist_class_level': 49, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 8}
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id: 46246114
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 30, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525334964764721, 'source_is_minimal': False, 'source_label': '49.8.c.h.30.3', 'source_level': 49, 'target_conrey_index': 30, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31525334964764721, 'target_is_minimal': False, 'target_label': '49.8.c.h.30.4', 'target_level': 49, 'twist_class_label': '49.8.a.g.1.5', 'twist_class_level': 49, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 8}
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id: 46246115
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 30, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525334964764721, 'source_is_minimal': False, 'source_label': '49.8.c.h.30.3', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 117093590445851065, 'target_is_minimal': False, 'target_label': '441.8.a.ba.1.3', 'target_level': 441, 'twist_class_label': '49.8.a.g.1.5', 'twist_class_level': 49, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 46246116
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 30, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525334964764721, 'source_is_minimal': False, 'source_label': '49.8.c.h.30.3', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 117093590445851065, 'target_is_minimal': False, 'target_label': '441.8.a.ba.1.4', 'target_level': 441, 'twist_class_label': '49.8.a.g.1.5', 'twist_class_level': 49, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 8}
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mf_hecke_charpolys • Show schema
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id: 164850
{'charpoly_factorization': [[[256, -48000, 9004128, 773520, 111548, 2130, 483, 15, 1], 2]], 'hecke_orbit_code': 31525334964764721, 'p': 2}
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id: 164851
{'charpoly_factorization': [[[257940646269567877840896, 0, 9707418244874000351232, 0, 346064210092316298240, 0, 712383790628627712, 0, 1198927856679184, 0, 437815743248, 0, 119514540, 0, 12548, 0, 1], 1]], 'hecke_orbit_code': 31525334964764721, 'p': 3}
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id: 164852
{'charpoly_factorization': [[[27451688549384522207282358816793600000000, 0, 1162497170526040578714139796736000000, 0, 32709282939804560437837928320000, 0, 518272057966052176072070400, 0, 5936717235994047472656, 0, 40503458254806864, 0, 199503651532, 0, 546996, 0, 1], 1]], 'hecke_orbit_code': 31525334964764721, 'p': 5}
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id: 164853
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 31525334964764721, 'p': 7}
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id: 164854
{'charpoly_factorization': [[[27703139706736155059714560000, 28116895070035710278400000, 27333766233334436960000, 4177052526025584000, 1718772898328400, 273671424000, 86082500, 8880, 1], 2]], 'hecke_orbit_code': 31525334964764721, 'p': 11}
-
id: 164855
{'charpoly_factorization': [[[4344294835769881532836151296, 0, -15122900700897793383552, 0, 3087430060324484, 0, -171820068, 0, 1], 2]], 'hecke_orbit_code': 31525334964764721, 'p': 13}
-
id: 164856
{'charpoly_factorization': [[[797670648121195571251360805909099343393388954975260519488102656, 0, 1642399464316815737551418615893460597874524366743116954112, 0, 3368955376314775430016629892581913878153484018663040, 0, 26157705171186965367211857326859240086374912, 0, 135609006099003923943976819891065904, 0, 408785886669710472188403328, 0, 904936675331169640, 0, 1164423208, 0, 1], 1]], 'hecke_orbit_code': 31525334964764721, 'p': 17}
-
id: 164857
{'charpoly_factorization': [[[35929550416057095848702799564668470916566991565349882325963197041934336, 0, 390126218279635958049377006608139317688903105434601919689474048, 0, 3339471019293538609586998387114474007230305735512919040, 0, 8289432091437371704355349505168525997033669888, 0, 14334957649202374768358600296476104464, 0, 13917630490668020290782649232, 0, 9807320932629711340, 0, 3812768612, 0, 1], 1]], 'hecke_orbit_code': 31525334964764721, 'p': 19}
-
id: 164858
{'charpoly_factorization': [[[521713944484408581006731339492294656, -80233197093548835338490528399360, 8637915522191413739397193728, -499822351955663691448320, 21644552765434389248, -468107141038080, 7427877408, 48000, 1], 2]], 'hecke_orbit_code': 31525334964764721, 'p': 23}
-
id: 164859
{'charpoly_factorization': [[[-289868191082299462400, 6732926700907200, -36474787500, -118140, 1], 4]], 'hecke_orbit_code': 31525334964764721, 'p': 29}
-
id: 164860
{'charpoly_factorization': [[[2526379824539347756739193472984548316133307735625791883483110676056905789489545216, 0, 942445498056151913450277058613359304082156332065086798020331884135841792, 0, 242782138928035728963999411515788230200975667095135891111280640, 0, 32247819770159634827509153658733265176305729443725312, 0, 3079674048615340420113668985396560330625024, 0, 141962807840919844943638835831808, 0, 4710649681684635624640, 0, 82915924368, 0, 1], 1]], 'hecke_orbit_code': 31525334964764721, 'p': 31}
-
id: 164861
{'charpoly_factorization': [[[1386511455898437221928916762366550440738816, -6198859531609500928146285871338373120, 132816219117109449817004820057088, 293221652389384214094360320, 7184526048785594911888, 3832650951664880, 94886568028, 75020, 1], 2]], 'hecke_orbit_code': 31525334964764721, 'p': 37}
-
id: 164862
{'charpoly_factorization': [[[225171574460665370108700504870836476498928656, 0, -10695237637441281298144432390347808, 0, 137324463578169260417304, 0, -656368469512, 0, 1], 2]], 'hecke_orbit_code': 31525334964764721, 'p': 41}
-
id: 164863
{'charpoly_factorization': [[[96752184919088538040000, 34095022580196000, -773129779300, 126720, 1], 4]], 'hecke_orbit_code': 31525334964764721, 'p': 43}
-
id: 164864
{'charpoly_factorization': [[[29958500599518340933673046985669731781530208466546678034584666644960774042537296501145600000000, 0, 196464793618177127896128846127402020378480717658263751613325421958741570355200000000, 0, 823242373097993306790719481288903230899339618730546020666847199232000000, 0, 2107029678922884283321303918721092660799770485987233792000000, 0, 3955807677722754243162137651031500261955258880000, 0, 5053755342977924239703942151547520000, 0, 4739560390210006215275200, 0, 2725249725200, 0, 1], 1]], 'hecke_orbit_code': 31525334964764721, 'p': 47}
-
id: 164865
{'charpoly_factorization': [[[531345045098576175687741866815506453723178660096, 1143174479908737511694630889911438783001600, 3092082412276085350667053389698824832, 1320230185309346171755874365440, 2908412181733942604050608, -1540564936512629760, 4250168385512, -1839120, 1], 2]], 'hecke_orbit_code': 31525334964764721, 'p': 53}
-
id: 164866
{'charpoly_factorization': [[[20514240156689249681371670913889964121962456222451167545986110535522487359669422523858554302038016, 0, 156217549283436931883349102555696945327437811101375422526074297044331277108322438561792, 0, 902328387437989711381015792724509414505301728686158374315326422896470051840, 0, 2047900053008155136355828822242313687066540171866516611898387712, 0, 3486378929372940022077156054586161169768102864203024, 0, 909640349940022618617807228282969339408, 0, 174624924042816747615236140, 0, 15428951660868, 0, 1], 1]], 'hecke_orbit_code': 31525334964764721, 'p': 59}
-
id: 164867
{'charpoly_factorization': [[[3011711876199366691169191649058500408858400377612589487386533521671371044479392712936718336, 0, 97132139969871302661285399609364617397806532695684885410371227508277810765774848, 0, 2374021845204860088646696795712049235267637383059934609824556711767040, 0, 20318451169197485718427452006684566697234283116525647020288, 0, 122460996271463876859003807847113227985731240464, 0, 410559609345986625358709777828423632, 0, 991495558079317624332940, 0, 1195257224212, 0, 1], 1]], 'hecke_orbit_code': 31525334964764721, 'p': 61}
-
id: 164868
{'charpoly_factorization': [[[9339077093212555792622304406141318176601230278656, -3054612913761168676239751381486509112688640, 13088461904876548049376802368674332672, -2343123152183486515649607106560, 13623452505408384892270848, -2076801981666543360, 5017515226192, 1030320, 1], 2]], 'hecke_orbit_code': 31525334964764721, 'p': 67}
-
id: 164869
{'charpoly_factorization': [[[-3205861014014197163884544, 2345827537845239808, 5470921904304, -5351088, 1], 4]], 'hecke_orbit_code': 31525334964764721, 'p': 71}
-
id: 164870
{'charpoly_factorization': [[[4079271642079905806264959408603634165246145332766515007254384435422507292859404932583014929951006976, 0, 15028740103350686228449621342370122730048714276531583844928437267182511520349140784265728, 0, 45816801730735117579830313709655881910021843844171402098892043196253701811840, 0, 32136627824517205118151769263829435362099651830642317256792345088, 0, 16676926447381277909240548759318831259445849134340144, 0, 3104136601382968841138157815663388880512, 0, 421815922385143810779393640, 0, 23903272524072, 0, 1], 1]], 'hecke_orbit_code': 31525334964764721, 'p': 73}
-
id: 164871
{'charpoly_factorization': [[[22123386060219817937286400785464405875355995551563776, 1738628968600677170782654851566869484637257728, 5973572706450493767108257314284754288640, 3178223557652575638462562742284288, 1831640923560269656824818944, 503154841177902662912, 110229212463440, 12225872, 1], 2]], 'hecke_orbit_code': 31525334964764721, 'p': 79}
-
id: 164872
{'charpoly_factorization': [[[12358893136786831963948121788832528798306881929124096, 0, -9043296837752095705269526575122652656448, 0, 1620649417435985017034214884, 0, -89056154424132, 0, 1], 2]], 'hecke_orbit_code': 31525334964764721, 'p': 83}
-
id: 164873
{'charpoly_factorization': [[[1924936638410203566201546680664048198540310922501426365442524808951677936627441827121988909910689597030656, 0, 1100152474264517486002492873209629071379492860463621551469518550917491305333876796344893669888, 0, 452559772104485523297338737061170233149325739330464444982214774624257355175322240, 0, 89401937771811820526958163252718665561639990461838805188323788620288, 0, 12855383755634806292572367210584527970210257611284531504, 0, 467265600944997451501595147395192500076672, 0, 12581659145100538642798963240, 0, 128832631184392, 0, 1], 1]], 'hecke_orbit_code': 31525334964764721, 'p': 89}
-
id: 164874
{'charpoly_factorization': [[[232161339649443184045187307286632676513687375842914753296, 0, -8339938628808846344314192985378794688264352, 0, 104823862958190665320632349784, 0, -544858580817768, 0, 1], 2]], 'hecke_orbit_code': 31525334964764721, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 8, 'label': '49.8.c.h', 'level': 49, 'portrait': 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mTDasOmNYrLNrqUVIUTp2s8vt/j2cMJ+07FpKrNO25rctethpKa4vCpcU6cdzg3nzK7GHN60XB0wXDD5Qv8sx+ss3FqjPMLE8zXA5abinZPEEWGhTqcX4DDJxYoq+ZlJ88tvy4Mm1vQzfu+/we+L/rYx/701YbE/9DjbzSDNxptxsbm0br8ay8fOH3rV+7/hLxyx4Vb1441nbNzq/FdSaPtsdTyaLQlzTbUWynLrZilZspsHY4uCmZmGvzLH1riNTvLnJmb5Px8hfOLDnNLhtnFhLMLKfPthPHJPq+9ssNNe8CTJXzlM7cccGHRYXZZ0A0hSTSBp6kEKRNjCRo4NZvQ6sDm1S6VUogxAoRHp6fZtCZkqeGAsVKk0YEwAYNhuRmxfpVLu6cQyiB0SC1w2bS2T6MrOHXeIdUOUzVJNRD4LiSJoBtKZpclF5YMc/UE3++Dm3Dz3g63Xi6YqZVYqmfB9SLMLSbMLSecW4ZjS4br9y7yr36ozprxMU7NTjK3WGK+7rLUFNRbmmYnodVJqbc1ja5BKcnB2R63XFtN3nD12KNvuv0uHYxvffTcYvjLN182TqlcfrWh8oqPv7EA/yf/7mP86j/8Yebnl371oUc//w+Wzu/zv/J4n/lenX/8gXku21BhbmmMRtun3vapt1waLUW9BfV2ynIzZrmZMteA48uC6ekmv/rjc1y71WepMcm5+SqzSz6zS5KFumZuKWW2ntKJEkKdsHNjlz3bYLkuuWxjyOuv1sSJQmD4/OMB882ADZMhJy8oOp0qV+1ImW8lnDoPuzZKjpyHm3drtAnpxgG+E1ELHB57uUS5FOOrhCg1pKnDjZf1OHbWZ9fmmBPnYbFe4aodKa1+n2Nzio2TIcutiC88WsYIRZqm3H5Nl+0bDbMNl2u399m+ziWJy3R7JS4sBswuChbqKfP1hLllzellwVwn4ppdS/x/f6TD2okxzs5NMLsUsNhwWWpKlpspzXZCs5PS6GjqHcNyT3K+YdizdYFf+t6QdnsjL58JeOudV4c3XPeuf18dn/wnnQsfprr2Z19tyFzy8TcS4If3/QU7r9yu/uV/eP6fu2Lhnzyz74K6fPMc+w9P8ORxxarVy/zbn5jlqm1l5pbGWW6WWW75NFouy21Fow31Zkq9lbDcTlhswpm6wCn1ueXyZb739RFbV1VodGrML5dYWPZYbAqWm1Yi1NuaVk/TCg3dfsJULWbTag0IfNdwdt5FSJ/NqxRb1xnWreoyVw954UiV63YayqU6+49OUq1ERJHL1ISm14fLNvX50wfG2b0xIQwN02OSOO1RDXxeOtmn5Fa4ZlfCvuMRc0se66d8tq6FTWsilIo5uwieaxDCsHl1wkRV0u75dLoura7Lckux3IClpma5mbLYTJltwlI/ZdP6Dt97+yK37HEI3BoXFmss1gMWGw5LLUGjqWl0YprtlEbHUO/AfEdyoam5Zuc8/+bHG6ydmOLZQ5M8f7TJ9XvKuOWN6dWXTf7qtjt//F/95r++L/2FD971akPnosffKIAvzr6I45ZKrfqpTWFz3/see67+r//4njnmG1BxDcbAUkdyrG64fPM8//anFrlqa5n5+jhLjXLG5i71lkO9Bc22ptFOqLcTlluGuabgfMeA6HDXbU3e/hrNtrUBUVSm3gxodDyabUW9I2h3Bf3QECWGNAUlDb4LJd8wXjOsmoxx3D7HLkS8eNRHJxXeemOE4zZ45sAYW9bCvU8m3HaFz3yzR+AokjRmcgKS2MVxE5aWyrz22hb3PlZl61p4+kiIS5m3vEaTiB4vHks5cTbAkR6rJxwmKoKSL/A8gRKQaIhiQz+CdtfQ6GjaXU2jq1nqGHppyuYNXd5+U5O7bo1AV1lqjDG/XGKp6bLccqg3odFOaXYSGp2UZsdQ78JsWzHfSrlm5zy/8VML7Fpf5fz8FPVWgDbguQlnZgUvnN7GcrLmn97x2r2fuGzHhtPtbr9323W7X20oDR5/YwD+3IsHcIJ1Xtja/6NL8y99mN5jQiRSfv2ZMU6cj2h2NJ3Q0OoKZjuS082U63bM86EfX+LaHQELDQvyetun2faotx0abUGzbeyS205oZsvufFtwoamZGO/ypuvb3LwnYfNqRa3k0moH+K4EFFEi0VqgDXT7gNBMVPscOWfQJuL+pyuE3RI71nvccmWXWDd46NlxrtnpcmS2Q7Ne46Yru3z1GZ/Vk4YDpwx/5z0tDpz0WT0p+cqzilsuUyx3Wxw/M8k1uyIeerFHEpa5ea/H9o19ekmHLz+jIBUcO+tQKzs4Aro9iTaCVBviBJAax9M0O4ZKNWbj2pBbL+vypusSpioBc8tjLDVK1Fv23NRbgmYHmu2EVieh0dE0u5p6VzDbliy0U27cPc+//skFrthcZm55guVGmWbXp9N1aLQdjp81fPn5iPKEo9//9qvNjVfv/tnrrt7xkYW5hWjVmitebUgBf0MAbkwsk7j7zvu+dM+OI2e7H/rGk193J8cT3nlThWOnJjl21mrqVk/T7BoaXcFcV3G2kXDTnnl+7ScWuW67S6M9zkK9QrMT0Gh7NDoOzbai2YV2x9Dq2uCpk/2dhY5goQNxGnLVzh5rJlM6XcPbbgrZskaTpBJHGqIYHnwh4PR8wNqJhP3HAtBl9mxQXLtb4wddnjnSZWGxwuVbKtTG6zy2z+WGnQFL3Qb1eo01awxPHlD8wB0dnjrgsGGVy2KnSX15kmsv6/LY/pTJ0jiX7+gw32zy5MvjlJwK1+827NrUB9nhhROCVZMxcwsxD73g0o8VUkKqDVvWRrzppoh2R7FuQnPtToiispVvTZ9Gx6XVVTQ7klYHWt2UViel3U1pdW0wudyTnG8JGr2IW3Yt8K9+os51OwJml8apt+wK2ey4NDoOSw3J8bMJR2a7vOmWJSZLksv3vik+N1/5xZtue+fRcqn8hdVTjn61sfWqZzJnFzrMznd/aOHC479p+vsn97/Qot2scGYWJgLFdFXguZJSIEk1aK0xxoBIkULx9JHV/PIfurznlmW+744ltq4PmV2q4XslSr5H2XeplBzaJUm15zJWcej2Uzq9lNWhphca2n2f5YWAs2cMUaI5N5vg+wYQeMrgSEG3pxC4JF2Hq7cItq8zbFrfJUzbfOkpxcGjE7z5Op9rL6vzsS8ZPFFmy/ou+x5TrB9XTNe6BKpEFLvMt6ESOGxYLXj+YMS1u0q8/ppFPnpPD8+t8sYbDa7f5WtPRtz7RIWXT5TYtq7MlrUpMxMRW6djrtiSopTGUQYwlH2fmXGfKHZpdz32H3Hp9B26PUWnL+n0oNM3dLr2u7d7KZ2eodUzNHuw0FXM1g3lWpOfu2uB77w54qqtZc4vjtFsl2h1PNo9h05P0e1LwkjgOJLXXSG4eVeFesvn+ededJ8/NfWblYknlt9yx82/YEzvo0KU/s8FuDEdQPzEU088+Wt33/ulye+46RTX7NxMJfDo9VPCnqIpBEoJfE+RamMtOEAKgxIaV0r2H53m+cNlDp+f565bO9y6t894tcZys0ylFVDreXS6Du3sYvf6Dt3QoR8a+pEmig1xbEhSe0SJh9EglcB1BIEnGK8KJqqwZlqzYXWX6Ykm9z0DDz/nIvUYb77O5eo9bR55OSbq17jlakGz12N+qcLNuzTT411Kjk8/USy0YpQWXL3LoVwNefZQwOuuHeOmq9o8e0iBGeO6vR4//o5lvvp8xFeeqnDgdMCmGcWayRIT1TJjVSj54DoGJUEbOHBCkKaCOBFECYQx9juGKb1Q0w813b6mG2o6PWiFsNCRLHSgr/vcec0y77y1yfe/URPHY1xYrNDqBLS7Hq2utTO7fUk/FKQaxioK363xwuEa3Z7hyJmYRw6eZO+m1qQy8t9efd2tzrm57h+sX/3q2YivGsBn55ZZXDI//vKBh35t7tQ9qzbP9HGdEmunNUnq0OpJ0hSMhTOBZ8AoBCCEzSJKaXBkSuBIFrslPv7ABh54rsVtVzT4wTsbXLG1w9R4maVGmXbPp9tzM2Are0SCMJbEiSBJyG4g+/mUNDgOBB6US5rJasz6VV0SOhw5F/PxhwKOn6kw7pe4Ya/DzVe2ePJwk/sfr3HjzoBNa7v86QMCJXxq1ZhGJ0QbUAJmal1abQ+dlHjnbfP8xb1lts8FvP3GLlG8xEMvThGnAa/Zu4q339Bi58YmX3u2y74zZV444bFhUjJZE5R9gefam1AKEMJg81yGOMlu1tgQxvZG7kfQi6DdF9RDwXIbhNPn6l0NfvBNDV67N2W6WqLeLNNol+n0PDo9l3bPpdNTdPrCAjzC/v3EsNSEdNnQ7iXMLyd40uWJfR2eOXbPKt8Pf+2O191uol79D73SxP8ZAP9nv/YRfvKudRx+6eEfPj/b/tB9D+2fvtBs82PfoYnjAM/TTI6luK4ijCBOIFYghEIIkAKkENnyrHGVwXM0JUew3FcsNyf45IMVntjf4ZarGvzgGxtcs73JVFoiSXy6/YBOz6UXOkSxIk4kSSpJtUAbgcAghcH3NOUgwfciPDfk3FLIPU9Ljp71OHF2AqV9tq/1uGyr4ro9LZS/wIvHqqwfL3P5NlgzU2e5VeOK9ZJEG+57yifsSsYrCW95TZ8vPBRzerbK7h0uFxp9XjrusnH1BFdtXeCRfW0ee0kQRh57tk6yZ6PPng1tjl1Y5ug5eOpgmSPHK5Qdge9IKr4hcEFKG1QZY2/WJIUogSgVdEJBqy9oxRDpBG36XL+zxQ++qcVtV6SsnfTp9cdYaga0u74Fd9+h23fo9iXdvqTXF/Qi6EeGKNLEiT2i2NDtp0SJxpUOC72UD9w2y/LZh1fd/fnWh8K0lPyX37/vY99x01l2XP1jf3sB/uzjH+O6m+dxlPx+kuP/ad3Y7Piu9QGOnKTb6ZJUDa7SVEspUkLflYQRRLFAKVBK4agc3CmuEriOxncNgWso+SnjgaAdujRaE3z64RoPvNBn9USX993eZM/GPv1eh8u3GjauUYSxS5oqUi0xObilxnVSTs0ZTswKGj3N3Y+UObc4gYlcJgLFuimHzWsctq2Hy7e30HKR3/tCheXlMW7c43D59iZfe0EgEpdVE5JKOaEbe0gjwUiU49HsC+aWBXtNmduva/PosyXWTXvcePkkP/aORT5yb5unDlXo9F2WGlW2riuxe22X1+xq812va3N+eZm7H/FZ6vqcuuBy7pyHqwRSSgQCbQyphlgb0kQzMRVz5d4uYRizZ2PIe28PWTWmmKz6xHHAhYWATs+jF7oZqBW9UNELJb1Q0AsF/RD6kSaMUqJYE8c2ZgkjQy8yJAm4yjDhOywtTfPU2S7N3tenv+MNa/7T216zNd5+1Yt/9lu/+3H+nw9+798+gD/28Ec5Vr9cvPzMM9/zzAtnf//Pvnih/K7XL/O6ayrs3Fgj8B20TvDcFEMmP5TEcyT9WOJEAkcJQiVRSuA4Ate1YPRykMeGsmcYC1ImSoJuJGlHFU6crfAbfzYJOkEkCddd2WXrmogkAW00xtgkjhQCqQSO63HotMeBowGVwKHqSabLgpkpyapJh3Uzis1rU3ZvbpCKJf7zZ2qcOj3Ojbtc9mxJ6SVtHn/RZ7zkMjVmGK9GlEtWCmktafYVyx3DUjOl2Snx2ssbPH2gy8HTivFawGv2jvOT71zitz8Lzx6t0OkZGm2HueUaa6bLrJros3mqzz/8ni61cpN9J+DQGYnrGpQyCKEBY/9nIElgy5qUW65ISGOXOPExpkw/cpldtKDuhQ79SA3kWy8S9DNw9yMII0M/SgljTZTFLfbQ9GMIY0OU2FWk2TR87SnN+UbKFTtbyCga/8R9ld+Pv3pt8s9/YcsnK+U/Mz/5ge//2wPwf/lfPsnvfH2Numnd/rtE/fzHxv3jwQ2Xubx4vM/1l/W5ckdMq2tLWRMtcR0rPVxHEkYK1zF4SuApiedYzem5Cs+VeK7Ej1PCyFCKdXYBDLUEwlgTJhAlgn4sCVOfOA04eLTCCwchNQYLbauNXQmesjUfVR8uXwu1EoxVJBNVxdS4w6pJ2LQmZO1Mg9gs858/M8ax42Ncu02xbYNk+4Y6X38pYW5pjOu2SiZqmsDr4UsfowRJKhHGkKQR9U7A3JLLtXtKXL2rzSPPBqyeEJSDKtfu0vzcXUv8p89qXjpXpdHRNNqKhbrD9HiFiVqJidoYtXLMTCVm87URvpvgOglKpUhhgwmDvaniWDG/4BAnijhRRLEijLPnSBLGkjCS9CPrkPRjQZgBO4z0ANhhPAR3mOQaH8JYEKU2+dTsCxpdQXUs5MrdLZ4/6vPIvoPl228OP/bA/ZH+iR+sfuYN13wk3XXVj377A/yzd/8Fk1Wptp4/+d6Xji599KnTF4JIGM4utXFVSqvfZeeGiFJQohd6RIlDFDsW5LGyz5HEdRSua/AiiecK+pHAdwWhp4giSejlS2ZqXZGkcKSQpIY01aQaq7c1A3ALAUqCI8F1wXcEgS8o+5JKWTFWlkyMCVZNJmxe06VaafCZRyMeenGSxmKNKzcpNq912bmxTyoa3PdUmYrrMDOhqJb7vHgM23G/0dANFVftjLlyu2H2QspC3aPXL/PWG9p8Y1+PI+cUlZLE92pcsU3zr354iQdf6vGFB6dZahk2r0qpNx3Ga4qxiku17FIpGQJf43sa30lxlJVaUtprYAw2YaUtgSSpIEkEcSKJEkEcSwvQxMrBKDaEkWXn/CgCO4pthjfMnJowFoQJ9BJJLxG0I+iEMbetb7J3cx21JWLH5gk6rdNBY8n8yb1fWPMjKeOf+sLn/zh957t+6Nsb4MfnInl6vv3+MXXyv26uLQVMVnlsv8uhWc18bxzxZwt812vrfNfr+1RLJdq9gH7kEbkpXuTgOQ6eq/BjTRgpQlfixxLfyy7K4FDECUSxHET4ue2XpJo0te5CajKnJHNLhBBICUpa2eM5At+TBL6kUhLUyobxqmb1ZMjMRJvENPjkNyQfuXeKVUHAlZsEm9a6bFmn2by2zmceNywvB+xZo5ioQbUcM3dSMl/38bZaMMyMScbH4cgJQ72lmV0M2Lkl4I7r2tzzcMBUFXzPQ8lxrtgu+Km3z+PKeT7/yAQvnwtY3YpZNZ4wVlFUS4pySVLyHXwPfBccx1iQZ0H5AOTYGzvVkKaCJCUDOsSplRhxnFpSyAAdJ5oo0UQxI8COYggTy/S9BDqJpB1Dt59S8rr88FsXuOvWLq+9LKDRHsPRkzx6rsRTXz4TXHF5+Pu33bDOqZScP8fyzLcnwJ9+/PPEif7hj9/7/L8X6YHad7/eYby8huWmwhiNWvb56jNrefxFn9n6PD97V5Op8T5hVKLVDfAcF8918WLL6hbodlmNYkmUSAvuxII8zlgpSSBOIU2tk6C1yZJExiaJyMFtAa6U1feuYwES+FAONNVSwng1YWa8x/REg0cPRvzJ/SUOnRhny5jL9jWwYY3HhtWwe1OLbtLiyQM1SsplZkIxXoXxasjEWILnOQhhb65e6LHciml0Dc1OwnzdY9OaKjftmef+p7ocOlej7Me4ykOIMbavV3zgjYtcv3ueP7m/ypP7x1nqOKyqJYyXE8qBpBQofFfguxLXFThKohSZfWhRbgBjTFY3b4GepDpb3TJrMdEkqSZKbAlAnFhQx5nGjhIL7LAI7AQ6fU0Sh0yVWvzMXYv8/ff1cWWV8wuTnJ0f58CJMvuOJRybj9m25UCtvsh/PpNe5/35Jz73ke9733d++wHcmGVA/sTLz3zu11S0NLXvxBSu32bjVJswqeIqmPI18bhisTPJf/iUy4ETi7zztja3X91i9UxIuxXQC33C2CWKXStH4szei22tSJwBPUktuOMkY6ZUZkwFWku0YQhum6TMmBscZRMmnmsIPE0pSKgGCRO1kLXTLeaaXT58t8t9T0+yXK+wY0awaZVg/SqPDasEW9f1cbwGf/GQw/EzFXatlkxUJWOVFClDzi0YfEciBRgjiGKHzataPEVKq6uotwxzyyV2bQj4rtubfOprHifnfFwnRggXbSrEieS6rXU2f1+L+57t8qf3TfLMyQrrJwTTlZRKkBJ4VrZ5rsR1BI6ylqqUYlCTYbA3mTZYpyW1gM9BnqRW0lkfPQN4CnEsCNOMtTNgdxLoRpq4E7Nhps3rr13m3a/t8ubrQJgac8tVOj2fJJH4bkK12uLtO7tcva3Gs/saU2qs+6Ef/oHvUqfOt/9g87rqtw/AF5YbNNvujz36xNd/7cKpp1bdfk2fXj/g3m8oPM9QFjFGg6cM464mLSsavTE+8XWPh/c1uWZ3k/ff2eM7bmwyPeHR7fv0Qh8/dohjlyhxBoFSklgvO05zbSlJU0GqxVBra8FAlRgGfrpS1nVwlcZzNb6XUvITqqWQ6fEOvbjH1140fPzrYzy5f5wJz+WK9Ya1k5LVUx7rZiQbVkdsW19n38ked39jhjHlMDMmqFUEtXJMs5ty7+MBVc8ghAVWL3R45y0hX3zC1sQ0O5r5usOGVVXec2uHJw+2OXDEo+InKCksyHWZfmS1/gfuaLJr7Tx/8WCLx14e53S9xJqaYCwwlD1N4Gg8F2upSnsjWyaHvPxIZ1It74JKtQ0Qk2zVS1KIU0GcioGX3k8E3VTQzgL4OIwol7q878113v/GFtft1MxMuLQ7FeqtgH7oEycKx9Fs29Bn15Y+vufzyPM1vv58wt7dT606fXzi1258zR2636v/UfC/IRn0LQX46fNt1k+00dL5oc9/5ZF/98BDX5h6fH+d73lDzGJvHJH6pD1D4hmktBeg7BoMGgdJ0y1xpu1x7okyT7zY4dNXtnnvHV3eckufqXGPMPSJYo8ocYnjoSOQpIokkSRakqZDgGuTMbce1pQJYbKg0tZxOI7Gc1N8L6bkR1RLPVJ6fPVZyZ89MM7+E2OI2GfLhGHtuGF6XDEz6bFmWrJuJmbTmhZnFtr8ty9USMISGzYIxqsOtQrUyjHCjWj1KoxXDUIIjIE4kUz6ikQntGOPdjel3lKcWyixd1uVD76rwYf+3OfUQgVHxdmN4ZAkAf1IsmbK57odLa7c1uGlU+f4+NdL3P/MOOebJSq+ourZ8mLPMbgKHGnT+UKMVtdpwGh706VakBpIUpuGj1PrikSpoJcKeimEKcRJQhpFTAVd3npng/fd2ea1VySMBS5RXGG5ka26kUcYuiSJRGBXyMAr2T7WiTq7d4S86+YO+18IV1UC+e/WbHx9sv/l2T++fI+PkN86oH9LAa7TLvPt6rtfeumx375w7L6aimDcneRzD2iSVDBR1jgy14Iw0ArYuhJPClpS0UlqzIcBn3+ywkP7O7zmKx3+7ne3uWxTi1Xjipp0BkBPMjZPUpWBW5JqiTYSY6wkMIOAEqTQKGVwlMZxEnwvwVURrV7MQivmtz4TcGJ+gmcPjGO0x1RJsGraMD0mmKoppsZdVk9J1kwlrJ/pMjVe577nNM+8PM6VGwQTVUm1LKmVNZVShHBDfN/BUfb9jYE0lfRCh14/JtGCdk/T7hiWWy6zSzVu3t3hpr0N/uIrAaVlhSNje36NQ5J6RLHt8ZweD7h+e4frd3R46vXnObUg+ZP7x5lvlDm75OMpScUVeLkMkzbwHBB5LlWwTJ4YQaIh1laO9FOIUgNpAkmMUiFrJ3pcubnL3/3uFjdcllILXOKkSrPtW3MgdgkjlzB2CGOHKLHkkxpBL3RwlGbHOtiy2qPfn+b8eckff/xrU9/7Xeq3r7365nq71b37W4nJbxnATx4/zuYNq9QTD39sR2/hhdplm84y5q/BVR5zyzHdfpoFfHlwY+s9lDBIKXCkwZHgO4ZKIug4Lt3EYSkqcf8zYzz6co9KEPIjb22ycSph87oeN1/exhGKatlBCCtXbFbS1krnhVn2ehqENCiREsYGQwIy4aUTkqcPOtzzZJWXTleJkjJVRzFTMkxWDBNlY33wmsPkmMPUuGDNZMK6mR5rZ+o8tD/k9+5Zxdpxh5ka1CqKWkVQLSeU/JBHDyv6kYNbsaAyRhAlksBRXLOrxxMvjtvCp15Ko+Wy2PCZW5zgg2+f4+ziEk88P4MrARGjgSRxMhBJOj2HiWrAeK3CTbu6vP7KLt/3hgUOntF88cmAJw+WOHy8QiIcwlDRjRVKSIQQKwLPLCdgNIk2GK1xRcqYFxEQc9O1Hbau7bNhOuYH3xJS8hSVwCWMKjTbLmHsEWefyxoAzsBnt3GRJZ58dUjSEt2eZHYJXjgacmx2gUb/67Wrn5/f8bM/8QPqyOGT6c5d35rO/W8JwLtLT1OaxLtw8hs/emEh+fePPrvEm15j2LAqZrkV4DgejXZCr2/91NyfTlJh52wnBkdYlvES8BWUHEMvEfRTh17q0EsD2u2Uf/cXE5gkZvVMn72b+kyNJbz3jh6bVkXEscj0toQCc5PpTyk1Qgo+/WCJfccqCMfh1Pky5+bKBCXFmC8YrxhqgaYWQLUkGCsralXFRNVhahymxxNWT/VZv6pFahp8+hs1ep0KOzcYamVFtSypljTVIMF1I+57IiDsStxVIDMwxYmkUlK89TU9Hn5O0wklnV5KK2skmF0qc9nWKu+9rcWzL5U5tVxFSQ3EmV52iVM70KgfSTp9h2bHo1oqUymFXLahz427+5yZb3LyQgPHTXnhuMOnvl5GKGXBLeToRTQa0GAMcZSyeXXC++7oMV1L2b3ZsHoK0sQljGrEiUO95RInuUx0MoBnSaREDYL/OJaZ324drzASdPqSRlszuxhzbknjlSRrJy4wUdn977/0tSe602s2fORrj74Q3Xnr1X8zAP7g0+dQTn1Xq3nkw/Pnvi6v3lZhZkyj05CZiRJx4iCEi6MSnL4NUBxprTzrZBgcBU5iNaOXgp9CybFLZJQKIi3opy6h55IYWOjU+Po+jSHlc0/akQ0YnR15Fi+zyITIirUkUimS2EFqB9eRVH3YOmOouJqyryn7UPYFlZKkWlLUyg5jVclEDabGEmYmQtbNtEmp81t/GfDIi6vYPgUT5Yy9y5JqKaFciqiUe5RKZXwlUTLT4NhVLI5d+j1BL0xph4pOX9PuadsyV/E4OzfGa/eG/Nz3zPGbn3I43fARQmNMjE4NceISxZJ+aCv9qj2HSuBRLgWU/TKBH1MtRVy3M8JzY27YmfCDd3ZxVJIlgTRCmFFRnkk6rSVCSHxXATaVv1RXtm4nj3myw8pDOYiHcsaOE0kc29UqTkSWKRV0+4Jmx7DctNO1Wj1DKFyeP+xw6NRX5He/o/vhdZPL3/BNb/+3Apv/ywA/deBP2bTVlD77xcN3/fHnjoj1M/Ce25aYHkvo9kImayGdnqQf2RNicotOWOaWAmIJKrXBkJtF8nGaR/VZZK8FiTYDjRj7klhLUu0Qa580s72Kj0GWUoAjhM1UKghKhsAxBCrFd8F3IPAMJV9Q8iTlkqQcOBbgFcF4VTNZS5gaD1k12WHdqiV+7x7Nn96/mo3jiumqplZRVMuKShnKJTun8MKS5tgFn8CzNzHklX6CfuSwdY1mzXSfVt+j1zcZi0sabYdqKaBaHucH75zn+IVZfv/u9TjSwaBJdUqiDXHiEEaKXmSLorqBpNx3KPkuJd92yPuere9xnRTXTXGkbZSQ0qbzRXbY0hUBiAzkgqbOqiy1lX55fJPHOknhiFNpA/0sF5G7Wnl+IowF/dCO3uj2bSdRvWNohpJ6pJkeb/OdV/bxw+fF48/Iu840Lzv2od/+y94v/p3venUBfuxsxXv5WP0ftZon/tEtu3vyi09N8uC+Fu+5tc73vbHOhlUOS00fz1G4jiRxDNoYq4mzum6VCgtiletzg5dCom3Db6Jt+WdqQKeCJE9WGNBGDAKlouaGvLTW3kSOtKuGo+wqYSsRjfWNHUHgSwJPUvIVpUBRLUmqZcNYJWW8mjBZC5me6LJp9RJPHg75iwfXMRH4rK5qamVhwV2SVAJNJUiolkOePAQvHCyzY8ZkuneYNu+Fiht2G3Zu6vHU/nG6oaHXT+n0nAzkLuWgRCkY53tft8wLh+d54sAaMAqtU1sOmxiS2AzqSXqhQ7lvKAWKwNP4novvpfiOxnFSXMeWGCulrTSUtjQYYa9HTgvD4Fxk59eyeqptQ4XW1qlKtCgAXViNnUrivBQge46yeqAoZpBM6oWG00tg3A5/5x3zfOctCYuLq7nnUU9OTp3553v3THi16sSvAtGrBvDzC10ZR71feeD+P/qFB5+84C2HDrNtj1PnJvm9L5Q4PNvmrdemiKweRAhQSuAaCWiEsEu3UgYntRaV1iYLRkxWNzIMTLU2gzLQPFlhjKGQeR9ZcfNUdZ7QUTLLWCpwB0VbNvvne4rAV5R8QbkkqJYMtXLKWCVhvBoyNdZj3UydJw71+JWPrub02XG2TWvGy1ArKSolRSWASpBSCmI8t0+zb1BS4SobSOePVItsWfeolWK6iaYb2v15LLtJmiVFue0T+FW2rIn5Vz/a5F98TPL4gdUYFNpo0lSTpEmWSlf0I0XPl5RCReBJfM/YabeOxnWt3+8oYwGuLMBVJlOEMBc16OosjtHagj3N6lm0yYEuBqBPdA7wPNEmsoMsw2yJCgNKSXxfcf3eNm96zTJvvR7KQQmRdrjxij6Ly4ve8sLYL77nnXe4xjT/qRBjf+10/l8b4Pv2Pcq9X/qSaHf7737i6aNBN5Q8e8in7MHetZrUeLx8YBLd1uxcL3BdC1SZgQwkUhhSaVDakCqDk5rspJksUVNgam0GHe46KwPND1YAPJPdWWBpJYqStqbcUWRpeYHr2JoWz1UEvh3JUPINlUBTLafUyjFj1YjJWo91Mw2eONjlX3xkmkOnJ9k8aR2WaklSKUvL3iVDOUgpBzFxGvHfv1JFKoUrDUoMbUJtRMZ6Lh94c50vPxPRjny6GcA7PUW7o2j6DoHn47s1dm9M+Nc/vsQ/+4jgsf2r0UaSaptWjxNbaBZGmjCw5a6+Lwhcge/ZzKbnmEHG1lEaqaw3LoVB5M9FhjA5yBkw+vD8Z68LhWvJILk2rHOxN7LNJucOmhBQChQ7apJdmwMu2zzJ7IIkNeC5MTfuSXj6oETJl4OXX3j4723d/RaxuNT+5empv16m868N8DhOufqy6d9+9qkv7Fk37rGw7HHDNlvrMWz7kpRch14oQBiUzNPGEiEMSlpga23TxKnK0sfaoFNjGSSTJkZnbGJsW1ZW7oxZ8blygEsBQtr5IbLA3o6T151IXFfa+g1PEPh25knZT6mULLhrlYjxWo+Z8SZPHuzyK380yUunptkwIZiqFKRJ4FAJbP1KKUgo+RGuG3JuaQJXCZTUmS03DDLTVJIkirUThiSJacUBvdDQDzW9fkq7Lyl1FYHn4rkBrjPGng0J//rHFvjHfwhPvLyKVEsL8NQQJ2nG5JrQ1wSRpO+pgQRzXXAdK9FsnYq1ZaU0GRGYQWHWCoxbuZJ9bpNLQp0DnQHQ0yxrnJdIXGoFRlh5WPYFvX6ZQ6d8lBrGJ1pDt2s4v5jw7JFnSh/4vm03/a/MKP9rAbx+7g8ZX3eq/Mu/cuKKtZNz7ptu9DlwvMZCAzpd2+WRaoMUlil9T2bgzlhMCmR2glTO0srKjzxtbDI5YjORZihHsmXTvMJnk2JYRGX7NsUA3EraWdtDeQKBC76nKQWGkm/1c7kUUytHjFd6TE80eeZIn3/2BxO8eGqGdeOKmYpmrCSoBpJyoCiXBKXA3hw21R/xxAFBp+8RKLJ0udXgeRNCqgVx4lAJFDdf3ubJl2p0YytTemFKt6do+wrfU3iul+nncS7bqPn1n5znl34XHjuwilhLYq2zZulhD2boSXxPD2rm8+/sqPwgkylDGSezLO+lHsWk2bCWJV9dh0DXGhsrrQB2/t/k2dR+BIsNSasj7eiL1I7naPcMS42El88YLt8xx4HnP+8dDW8t/8c//ET37/34+/73A7yxdIqxiU3jLz37u/9t75YLr0uTOqsmXTAOZ+ZKLDcdOqEhju2JyHV3MVVsGOo7o0UGbJFpbAbP+WqQ100YYwbMTdExydZWgbV3hRCDIiM1AHim/x3LZJ4LnqsJvKzAyk8pZfKiWgoZq/aYqLZ4/mjIP/uDCV44uYo14w4zZc1YCSqBoFJSlEuK8oC9UwI/oVru89ALHo1mwMTEME1O/t0z3RqnilVTijuv7vDQ09p20US6AHJJ4EoC18F1PBynhJSayzYafu0n5/ml3zU8dmgVsXaI8wrA1AyY3I/loLrQcySOkxVhSYFy8nPD4PMNbkIuTuvnCaGVRy5hhlKyKClHr11+xVJhv3+UFHMDttu/0Uo4u6iZ68Ss7XR4bH/jdTt2z/7hB3/gB3/67a873bhs96b/vQA/cOQ8rrvwS/d/tfX+T3815NjCFB94S50ff9sSWk/jOD6lrqIf2rRvMU1eXPrMSKAohkwwOHnDYqC8Am5Eb2c/5Bm5/O9bPTms8VZqWDHoKGx9hmNwXdtYHHiawEspBQnlIKYShFTLfSbHmjx7OOQf/e40zx9fzapxl1XllLGyycCdsXcgKfmW/QM/oexHJDqkHfkIJXFzBh9ocJHVflhbLY5dKl7flgtEARM5yPspXU9lW6JIXMfBdfINaA1XbDF86Kfn+H//q+axg6uJtUOYCqJUZywuCGLbyue5As/R2eols75Wu6LZ8yMGkk4W4pf8vBb5JK+wKIJ7hISKK68xWa2LGfx3A04qgCHRNn7o9FLmm4YTy4YfedciP/KmiJeOLrAczr7/2PFnj6VJ/I//Z/H6PwVwYw4Cazd/9I///MrTZ+fZvTag4sFzhw2N25eYHKsSxgopwHXyHkSGkiLzwFcudRexQUFzW+YYZiWHxG2Xh4uCyny5zTp0VBZMOY6xbXBZEVJePRi4aaabY0pByESty1ilzRMHEn7596Z57vhqZsYcZkopY4GhmoG7FFg7MQd3yU8JvIRaJeLAScODz1bwpMRVOpNmQz60AIc4VSTa4fbrYnZs63DsdImZsu1a70d2nkm3n7Gwo3Ac17pO0nrXl2+GX/+pRf7x72q+8dIM/bhEmEqixFDO6rh9FwtyJ1+9dCZRJFKlgxVOSVEAuBgBeb7s5qtvEeQDF2tk1TUXAX8QMxVW3lziJIkda9HpGZZaglq1yw3bHPYfWceZOQ/DBZ597qkrN137k5vvf/LMqTffuPFbD/DjJ2c5Pze5ZfbcY/9RMfvuvVtaRHGZTcuCKC3RbJeZrhoCLyVNBVIY23yQ6bPBCUEMT4oZZfGLlsDC/6cA6+ycF5i7CG5hkCq3BU2WJc1Y27EjJlxX47sa30sIvITAjygHIZNjXertLg/vh1//szXsOzrNdAbu8ZKhWhJUAjHwyq3zoi17exbgJT8kSlP6vYBA2ZtM5oAZEEVmsaWSJHGslndC250eiwLANZ6X4rkOritxlEJJdwBwBFy1VfDrP13n3/15wmMHpzjfrNGvSMZTQzWx0wb87HAHEs1kdiEFgA8ZfPB5sw8tuDjwtIAtXkczKN7KgTx6PYfysth4Yf1827Tcj62xMFFSPHtgmjj0ma8b2v0OV145/+7t3cfT215z/d9rN+ZOVsdXf2sB7qQn8M3sjedOn7jrnq+d4Pq9Pe64tsdivYo2gplqhSiRtvzUs7alUpmNlA5bphgsXwWwGzF6QnKmviiYHElHDC6CHfeQ91aaQfrfVg1a5nYcjetovEF5rAW372XgnuywUO/xa/+9zN2Pz7DYmWBmTDITZOAOrO4uZ4FlyZeUfZMxuNXegR8BEQ8871GPPaZ8Ruqxs68/sArT1DY/1HyHO67t8sShiHbsMxbrrItd44W2Vt1zLMAdZVDSRUiboMHAno2S3/y7Lb74RI9f/aPVnF2coDfuMO4JqommnIAf29HLnrIDjdw80JRiEATnz8VAfSD9LhF8jsiVQhf/CMCLJHURsZmBhRjGtg7ddwzNus/Xn5GkJmG+lXDnDXXGRIOX92+5KwzH/nsU9U5+Sxm80+lSLpd2fuOxh3/+yPEnGRtLuPdZQ6myxDtuXLLVYd0SqXZQygIJQCbWz9ZKjIKY3HoqBCDGwlYXGHtF5n3AHyOBkLCaNHcBZFb7bG0wC2wn+0yuk+K5KZ6bEHgxvhdTLfVwnC4PvZDyh/fWuOeRVUS6xqqaYDqwssRagLlPrrJDZMxdZO8Yxwl59OVxupHD2rLJbriVDJ7babaGI3AVN13WI9EW4L1Y0M/dkMiOXHOd3OJUGRCzbDCWKKbHBe9/Q4eqf54/urfHwy9PMRuX6AaSWmKoOMaC3MniEJXV/yiTgTwjBjF0u4QESYHFvxnIWQHgAvhfCfC545JmpRm5rRimgpcvpGjT4W23NHnLjR2Onqxw6sij3HDtpp+/8qrbnwvD3hHf/6vnHv6VAH/i+TM889SD1Kpj6w4eOPb6h5/u0ui5nLhQ5nc+U+O+p0Mu29jhZ94VEy1P2rS4ygAuBToVKySIKNSDF5l8JbDFCIMXkxB508JQmpiBj6ukzgCus5rvDNzK1mL4boznxQRuRLncx/O6/Nn9Dr/xx6s4tjCJ6wesqQom/ZSab6j4UMk67Eu+zXYGWULI1q+k2Upg5cliK6UTeXhK4UkzCDDzz547SNrkCRFJlLiU3D5rxns0ulV6scjGrdlYwXXTzObLBh9JNfCvh4GrrXx8920dbti7wK//SZ8/vW+G5aRC13epuJKaY2twfAc8xaAZwsmTPpLBDZlngQfnegTgIruxRhlo9JqOgn/I4nlZhQX9qE9un5d6CR+8a47d62D3BkHZryGNR22+y4ljx1+/sOyu67RbR0xyHOFs+18DuNaaYOrWLa3Wc7835T/GtTtLvHBEsWeNph+7zJ8PKJmAUxcipHAwhgHIlRQYlad6VwJZjN7pGRPxCuwtiuAmtwPNUHdneltJbYcG5cytUgtyN8FzrCTxvRDf7XFyLuH3v1jhs9+Y4vjcBLWyy2QAE35K1TdZ6j0Ht8zALQdJoSDT3r5nb5xaJeQzjzocOVUiUMJmDHMHpaBkB2McTFa7kTjs2QzvuKHNH35pik7ZoZZpUj/K4galcRw79Mhq5xzkbgFhdlXYNC355R/ocuXWs/zuPZMcnx1jOSnRdR0qSlDOgO5JY2+czGUasrgpeOO5O1WwEPOIcwWVmxWvB6xuLg12XWD43CMPXNg2AztXTbJxymGp7nAuVjTbDvuOpizue45f/Lktv3fH7de/TUfNv1KqfFOAGxMBLk8/+9yGl146tv2Jp2LGKj6b1zjEic0+AoxVA06c06ydjvBcW62mBl/o0qDOC6OGd/03z1YJMZQnObCH8sQ+5zUWth0tKzBSie3ccRN8P8RzQtppxIc/6fFHX1zDuaVxtCoxOaaY9AxjnqacMXd5kL6XWZ1KJk0y73wAbs9mL8M44shZn07kM+FnLk6edMpdiTy2MIWalNihVnHYuiFC+X3aUZWeJyhl80m8TF65mURxctcjm9d4cfCqmBnr8sF3d7nr9ln+6Istfv/TUyz2KvScgMBRlB1BSRn8xFg2l1aqOHJoa+ar4komLxLOK2NngPVRYF/q5+whBZR9w5pJl8Mnq8wtSAwMxlusnRZsXd/m3Mnj25UY37D38utOLjdjJsfcV/wc3xTgp8/O4fnVmUpZfLLMs+7Nl9cIYwcYNvQKAeXABls2sZOz6KXu7pWsLVb8/hXAzfAE55VvA809YO+sSk6lFuBOiqNSPDcm8CI8N6LZj3h0n+TP7q/x6W9M0U+reJ7HlCcY9zQVz1D2DWVvCO7Al/i+LQ4KfJElhjJnIgO459rM54kLhoefKRPFLn7FXBRg5o/c87fnUBLFCtd1uPOGNn/x1Q6HzlboBbbENHQNXgJurHEjjVJ5VlgghRwO98kBnnvsWlL2HVaP9/h/v7fLZZtC/vT+Kk8fGGOhV6GvPFzXIXAEJQm+zGzU3F6VNhM9KFjLZ6zkK+iK1reLAH7RtR/K0+LvM+c48+Ht3+6FhtMXYhZ823mUJ4xA0I9LPHXgOfeX//51n0yT5atN3Fn4Zhj+pgDftGFKHjhw5MaPfPzrY3Pzy9x+teHq3S5RZPeziWLb9+goTeCnBJ4N4uzSnEP64js5B/rKu70I6MGJy7U2We2yLDC3sO8jpc7swNQCXKUDOeI4Mc1OzCP7BR/9Uo37nx1juVlFlgKqJcW4a6h5mrJr5xqWPDLWtsxd8iWBpwg8QeCRVejpDNzargxegnJCDp+Fc83AJlYyfbsycZIv3bYP0oI80ZIoclhdE+zc2OPF0wnd2B1MjvIiO9TSVWkmUcQgOyxXdOYMU+d56aqtD3/fnT3e8po6X3uuzcfuq/H0gRpL7TJN6dHxHDsaTwp8ie3hlAZHZAF7oexYFHMPfHMmLyZ3Rq//xQymBKQyU/Zdm6xyHIuNKLGb4/bTlD3berz2yj71c18ZO6DffKNT3vMlvsnwoG8K8INHz/n9OPmvU/75yhOnJ3j+aJsfeGuT11/ZYNd0mWYnII7sXrJD3ZsOJEMuK1Z+4ZHCzFeibjFkboBicb7IZYnU2WqhUTJFyRQvdzNkzEI74aFnHO59pMrdD48x36ogggC36lJzYMy1nTwll0x2QMkT2SGzktNMd3sCP2fvHOBOguclBF6EMTEPPOtz6kKJ6UmBK3W2zItho2/hOxtdLDdV9EKXzasFd17b5bOPR3Ril14sCFyDl1gWD2NTWKXUwK9GyBGZYg+Z1XDLLGvqUPJD3veGHm+6YYnPfaPNFx8p89C+KvPNMj3h0fMcHFfhCIErJa7MGF1YXa6ETa3LFYHnYIEqkNIrgdpc9KIwxkMY4tSOgWv37e/6iaDeg2qtx+uvbfNDb06o12e4/xsLle99X/hfx4MTlwG9vxbAH37iAP1+h+NnG2xZ5XHkfJXf+qTPQy8u8w/eu8S2NQG9MCBJVZZYNFngk4PbjDJ4Icii8PPoY1i2mQczA1APni2obYe8lSOeExMEMf0w5dA5OHle8fGvjPGlp2vM1yvgBjg1l7KSVF1D1dGUXEPJhcC14A5cO5PQlpnKwiGy35sM5HoAcs+17WnHzmtePOGD62bLvCmk6MUI1eX6M3dSrJtixzlfsTVk74YOB8+V6QWCciLwY0OoyKw9nbF37qbkFuRQqwx89syK1Fpl0wdc+pFLqRTyw28NeefNDb78TIdPfLXMyfMBB8+ViRo+ie/QdxykkjadDzhS2rJjAZLMscquUfEGFisu7crVueiujAAcRiSRwdqFrVizfX2Df/A9y9y0M+Ds3GrOzJWplRr0mgeRyTffPeIVAT47e0bEcf/nv/HAn05XgwCFYOc6W4n2wBMzbJzs809/pMFUEBFGLlqP5rsuLc2Gndz2xcWhuMXB6LMQesjaIgO2TPF9O0k1SVNml+ArX3c4drbEg0+WOFcvcex8BXwfVXYIHEXFMVQcbV0E1+A7dnC875KBOD9kdqgM4GSaOwO3m+K7lr3tjRVxYgEOnCzjylF7cCBRGNaDF8sRdOZ82NkuLns399i5qsv+4wndxKUaC0IHvMROcVUFgEspEFKOMDkUq/wKMiiVwz7K1CV0PWqliA+8OeS2K1ucq7d44CmP42d8vvxsmfNLAWnPRUuH2FMIafs0RaErPwflkJBGs56XBPYlAJ4joyh3UmOHf445bX7oTfO89boyzx9cy/HzJdo96PUDPv6FE9M/9WPf//PnL5z+0Lq1my6pBV4R4H/yl4+CSd8fNs9Wrt/jMbtUptc3rJ1OGRuLWL8mwR9rM6ZC+l2f1Cg7Ik2LFZ9dDH3tnGFG7/XCnTxQ6FkqOg8o88DV6mvXT4lTw/EzghePK77yZJn9JzxePhHQCgPCyAfXQ9VcfCUoKyg7mlLBB/advE4jL5u1deF+Jks8T+F5MrsBzFB7u6nNLLpW5wdejNERc8uS0Pg4jsSTdkrAIGEySuADkKeDVjDb4xglLgKHmckIqfp0YpeuI6zTEQ8LxnILdph5LBrt2bAjBEbLIZNnrWVpKnFTNRg/0Q091kxEbFodc922kF7U40dONNl/0uMrTwS8eCLg+OmAOFEYX2VfSjGSDcoCJVG4pmIFxQ2v7KVS1AXoD7zDFPoRxm1zbt7wwLNVDhz1abRTeqFhrh6zbfPZSmfhsfdHjvOhV8LxJQF+6OW/oNnsqueeOye6ToDvwa5NfYwx+F7CD7xnlhOzbf7NH1S4+bKEO6/rYrQtqq/VJGSTpIy2o9RMYUbJpcA9+M0gQrd6XkgDUpNEhm7fsvnJs5I/v9+nGyuefzng6BmfxY5HmHrgeKBcVE3hSUFJQVkZAoUdZ6aywiNlWdtzhU16FMHtSrxMlvge+B6Za2JT5q6j8dwky4jGlIKI+XrKVx6zw28mxgSOzIPfIQ4uYjSDrbQbaHFJGCqmpxRvubnPl5/ucbpZoedKK1MccBODG+eedb5PUWrtQoqzTuTgPbRxCu9hge6litRRJK4iTu04PGulxpS9mNuuSLjpspD3vL7P4TOSFw649CLFn36lzIlZF4Sk23NII5WlOyXGEXZBHjR2vBKPM1KHIZJiBkhTqtiEHKS8+ZYuN+/t88AzZT7/NY810wllT2O09e+bjYAvfPWM2Lhts/rE5z6dvO87v/t/DOBJKiiXSx+W3pmrQt1i49ou66cTpIR2L+HxgzG/+5kJnnypxMcmNTMTCUYnXLsz5H139kkzj3xmPOWaK0LKJbL0VXZnF2/ukdcWFM2u4IXnHJZatmrvyQMuX/hGQD9W9GOHC7MuWjjExkULFxwH4Ts4UuIpQUkaAmXwFfjK4Ctja8CdzPN1hszt5X2ZA3CrrEdTDNjbc219je/mutuyt+fFKBXx9ecUn328ivIca7eN6O9XZvDcC08HzbqKft/lnbf0uPvRFn/6wBidJKCS6XA31+FxnpQxg24hIeQAXPatZEHrFwCusyZhxzK56ygSx8FJUgt0ldJVdpD+RJBw8+6Em3bHIELe+4Yu/diOc/v8N3yeOuBR8gWLLYcXXnJpdSRipScqLiXGbcVhJTBcfXXEzFhqh4Cmmu+5M+TqHTFaw8yEYHpCc/NVmv/yl0s8vt/Q7doE14bphM0bY87XzVV7Kns+LIT44P8QgxvTBiq1T376c7s/fX9ZHTsb8swRQ1DRaJNyYRGeeTlguRuQBpK5jmGulYBJOHw24QsPJaATTGoYm0i58aqQaqBtu9KlxFeRxzPXodFRPP2iR6upkI4k1JLQOJaZhAPKAekgpEJKiSsFgbJeri81niyAWQ5n9FmQi2HDg2MbAfLG4yK4LcNnZbVuzuBp4UjwnRhjIs4tekRhgD8m8VTRWhOjWUwxIK5Ben0IckmqFVHsMlFVbJyO8ESfXuLTSwQlxzYI5DUkeUJLyWJ5qxy8l30PmSV/dGEIvs5mNw6lUZKkWd5A2QSZSoiTFBXnYybssX7aOlVCaC7b1CcyPaRjaDYFT7/o0Oha2TT4rq/0yCoJK4HmxqsSxsbBJAKMwBN2P9JUO9Zd6gqu3ab5zZ9p8vjLfc4v2n2VxsuSq7ZJFltCjU2o3duu/M7aiTO91taNo/UpFwF8fn4WKZ0PbZg4+oY7r4pYW61xcrbMfAs6oSFM7Q4Iq2sQmWykrvbsiAed0tQpiAQcTauZcuFBXViSiqHGSnAP43AjJTov6CZ7FnY5FEIipUQJO3PPlzbl7GWWlpf1GrpqyHg5uF3HdtTbrfcYgNu2ddktUXxP4DkMSkwtg2cs7mg8J8V1Elw3xvdjzixq/uTLFXA8XCmGAeZAnoiLGLyYycuHhFqw2eE6Uezyg2/p8bmHerw8V6WTupQTuymtrQI0w04cNRy/IQYBX166mEshWSjwyg89qIVxHIWbplmhXIpSKssGp9aCVRbYNrjXg8FBSmik1kyXNd9xqwZpl+mBPSwuca0HGWwLaJ14pHEevyn6qSJJHVKdz5u0MyeNkVy1WbBnvUOn57HYKPH4ix77jiRUJo+/4ee3nPxQmqQ/81cy+O/8yT1oI71tE4col2N2bZ7C9wQzjZh2z9AJoR8b+rH1KMNE0M8mkPZTl8i4aK1t5sloUlMA+CuBXBTi70LQgsgdAns4AlyRsbIwQ582m2voyrypdlhI5DrZ60EttBjs8+OOAFwOZIvvmUFLm+fpwuCcBDdjb8+JkTLi1KxgoRUgHAdfMiJPBun5QQ1HsR56dCzDMBBURInLVC1k85oeB2dDeqlDPwU/FbipwU0yHZ4wcJaGtTpqlCyyG8pO2jWFxuBcGmmcVJMqiXLy7ctVNjslK7tQBWCLIcDzZJu1cfXQGBiMoFjR42lEVjKdl3CIzEmSA4DnwI4HI7IdwsgO8uyHdlvDZtdhoa44dSGmE7dQ8XEaFz7txenFN9RFAO8tLiOE4L6XyrR7PW65HFZNuniupN1NaPfsbrmdvqEbGbtXTiIIEkFfQqgh1JLEQGqU7YjPzrK5VCprxEO1iJADX9QC2hFZVk0MweyIodfs5KPfMrJ3BqWgDBpsPSVsHfQIuKV99nKg58FnBu68+8fRA4niOlafel5MQswXHy0xt1DCHVN4uTSRZtRBYcWKXdDgwxEMw6RPP7QTbN9+a4dH9/VpJQFdx6GUaKIsna7kaEGUHIAsf6c80BQDW9Jah9lMFQOpsu/paEGiBE4qcZQsDAdSA3APmTsvj9CDTHIR4MXkXP7ziPoe1CTlnfpyJCll7VI12KvJTuF1s23E7VCkZgcabSvR3nWrHeq6b3/3kupgBOCHXvoCnh+89uD+R29Ymo+pt0r2ApQg8B3bf9hJaHasNpPSILO7VGbNBl4qCLT1MRMjSIywaWljI+tLCZSMswvAHmbNnEF1m0EJO4VW5tm1vPZb2v3k81EIRWAP5qAo20bnXArgecCZ624nlyUm09ujteSeG+O5EbNNzbNHS+B4OJk8cQoFSoNKvBUIX9nVlI9gSAsXOY5drt0RMjXeo1kv000UZQVuYr+LSo094iLAs5zB4I3kiipOkbWWWTtXK02qBa4WpEqSKk2qBImSOHJYuCazSVgXgVxYp6uYhBuwd4HFh8tXoRZlkHHN563IwQoWJ4o4duhHDp2eS6vrUG87NNqSZsfQ7iZ0einGwL2PTNHsGTZvUje8+U23vfaTd9/3yPe8+62XBvjhU+C66Xc89lJ8Tc2b4/pdASYt02h7tDoujZIi8F2Usl5rnKZ26wuTp9OzBt+8oxoKDaijZj8UmbtQ202hxjsHvcxTxXm3Tj7Mxwx7L6VtwXJkAdhSoAbdK0Ng5823lr0zze0w0Nu5JWgZewhuN9PfjhMjiLnnGz6P7q8ifQdPCjt/e1BBOExBD6vwVmYzi6PRck/cLtO9vsvNl/d4x21tfv+eKlHq00klQWo3gcpXq8GKIXSWjNErbqhXYnLQjsxm0AhSR1sWzxg8URIn1TbekfmgoGHdjywk34aZ5hzYhUTd6NdeUWFqP+iwdFgNZh1GiSSMFb1I0uwqlhqChUZKoxXT7qa0eoZ6FxKRsHdLk9fsrVyzeiz8jqQcP3JJBj987By1WuUtd9/zwA+8dKBLszvBXL3Oj7y1w0StRqMdMNb2qJRcpFB0emk2wNGeaJ1likXGtFoWOq1zYJtLALyYASuAIS/ukZksH6SJiyAvlHY6WZ20bTQWGZNnYM+6YVw1Cm47TmEFc2c9m17W3uY6ecNBUjhiImI+8UCN1PioQfayGGAO+xpzZ2NEg2e7EZvBAB1pgZbmwaaDwOV9d3T5718MaeiYXhrQSwVuwoDFpTTIRAxkg7ULV9YeyYI1KSjOM0kdO4sm0QJXaVJlSLNANpEykygSmebzDOXAohRCF1YOM/J6lMVH8D1g8vwmN8UbPCtbGGyvru2GtPN1zexCyHJb0+jCUlfSTmN+7O11rt5cQYg+JdX+gcuuvePBbuvMl8u1jaMAn6hG+J7acdnm5nZzfZskLXHFrvOsX1cnCdt0ehU63RLtns9cw2O+4RAWZ59IW2UjBaSy2FV9iaqylQwuVrD4Rc/D2ofcnRgAOxsolLO3yl9nFXcjw24yYDtKDJ2UgR1oO+5tY7LJmHsYYDoF9vbdiGePSo6cDzDKRUmJJ/WgKGkoUYZ370oXJT+G06FEwa+2II8Tl+3rYvZu6/D44RKx8uglgkCCmxqcRBRWNoFMMi2MJAvnVsgisSK4HbK5k4FJaWNHwumsYTsV1m9XcrBSDAGuBiXLYsDkrwDw3CUt1CEVb7ihVLFxgTH2pvU9w+qpLkfOxjx/yqUZSlphShj2MGmPLz3uce5MjUa7x5vi3vapDcmOTjf98kUM/tKxJcrlEvc93aRmzjMzLvjw3QHR3etJE81YEPOjb5+n1VX85eOrqC/WWFMbwlVmZazaCKQZfpFiUfsrdulcEuRmBOiy4EwMZp7IYVPvYPbgYBbKcEybXXaHAC8O/7Hd9gyAPchWDpg7xXNsYsd1rHtiiPnUA2WWlkoI38GTNhhWK/X3ygBzxAfPR6GN1nEPvGltdej0pOR77mzz7NEaYRrQVR6l1GrxPPBWkgzc+VqhM088L8zNpMoKeWAHLBXHr4GjIdUKR2uUsKP1lLLzI+25z4BeqBjNGyOKQeawdv+VH8X4gMHKIjHanirbSxuxZW2HqallXr4QUOsLfuRtbcaCbGcVI/nqUyFTkyE37jmHwxwVt3uxRPn0X96LoyQX5hos1tfRi2CppYiSfD9Ew1ees3vKkLqsKkGYJR5yEJJJi9GuDVGsoBwQ2Eob6Zux+BDgYqDzpVwBdDV8tiDPxrU5owD3nGwAkJtvHZglhRyD6+aSJDucdORwlO3cefkUfPL+KqH0UFJl2cvRmSwrM5iXXKpzoI/o8Hyptn6wnzp8z5v7fPRLXfYdLxErl66UeKnOHCWBTIuOisnay4oRj87ea3TfoiKT5+DOWVyn2VAgrZGpjW/yabQiGyY6ALlcIU/ymENcQoMX7/UCRoaNy8NAVEq7khoEO9Z5fPjne6Ra4DklwtgnihziRLJxUtHuTnD65Cxnz/2lrYEoAvzw0bNs3r6+/I17f3vr2bPznDwbcG5B0GyndENNr29o9qDZ9+gnApVV4hWZeMQtGNHaZpS5xcUv8+zupQEuRnR4DiApsmKjHNgZ0ItTmxwnB3qmvdUKcOfp+xzYSmeMnoNbZ/IkyY4Y5UYcOefQjjxQTiZPzIry2Itv2BEXpaCHzUovPOvGGSZ+HCquYPf6PvuORKTap6c9glTgZnsbyUyqDFh8wJyaPMgcMrkYZjizehgnm3iQzxhUGlJlAS+z3SmUztytjL3TwhSDfMUdAfiIF77SLFy5ohfHgRQwldmNcaxodSpIUSaKHVpdj2bHo9tXdPuKektwZi5hsQ27d81s/eW//9PlsPNTXb+yzgJ8aXGObqf95rn29C+dnn+aLRtKjFWqLDYcO9K3l7JQT5mvp7T61hUZtDUV9HD+wV75i3DRHV28MfLXefnnAOQj8iRjcSUGYw5yoOfMLQuypLiLsavIvHALbgvg4VCgAYM7K9g77+v0Ipbbmv/yl1WWegHCd608kWZELg0H5/yVGWvLYFpko+yKDG4dlSRxqJUdfva72nzt2RpLoUckHXpS4g16KIs3l7GFV4Naej0oozXoDNwag1zhrNi/pY1BGWGlirRgd6SwY66l7boZ9MFmr/MyGLlCogyubcEqFCu+/0XMnkkbmQElTSWRUKRGYrSg1fWYXfSZryvaXej1DUutlMVWyJpVLW66euKX5s4deqTX731uwODnzhzG9z3On53nzLky4yWXmYmUsYrdJjtNFfVWyoPPGxq9zIfNkitFJ2Pkgn6Ti5tLlKGLIkaWdEFWpLaCxXN3IpcmOdDz2mglh+1cQ+2dWYYZwIeaWw+CyoEsyYGt0kz/DdnbVTGeF/HxB1xeOlYC6SKlxM+X60LcMOxftFfsFasJC2w+2KmiIFMSbVvOksTliu1d3n1bi49+KUA7Pj3p4UsxTPoMgJcDbJTJhSkw+WB0x3AXB2NAKzJwG7QUSAWOgVTYwN3OTMnea5BoKujv7D2lEIzGV69UfzQkuyFu7H9vhMFkGyWA3frddexQ0mcPGRqtOJuNbjc0m6w5rKsZzp05TxgGJIndGMIBuGJXD6k0GycbvGZ7A6lKuA7YsS8G34vYfyriE4+OEyWO3TFAMQB4zqyD5biw3ogVX6TwPS5i7uKkKrFCmhTHIVsdnoFaMQpuKYf6O0/ZDwBeAHc+qzAHuLqYuR1l2dt17NSqelPz+a9XWWz6ELgr5MkrSxSEGP36xQB8pW1X7MTJJEqcOEzUFO96Q5e7H+2z1PGJlEMvlZk9mbspYiAVhl02+ZvpQRmtnU2iB5o8dzGUyXR4Ppoi0+dKZp9N5jPes4ZkabJxb4Xrlb//4Pqb4fcXZrTJRXCJFb0wrzybegYpQgg8J2FqosXR+S4vHR+j7A4zKWoBHjmQ8NobEm64WtPrpRbgL718hKA2veXllx7+uReeP8dCw9BLOrz5ug5rJgxIw9m65r/dO8H5JcXayrDw3s1GEo+4Bq8QUFwM8sK0p4H3XQB5AeAXMfjI9Nghe1uZIgc7ORQB7jr5yLKiLNGXlCeOU0zqJDjKZi5PnBQcPhWg8RHSuieOMMOEy4iDIgquBoMTU6xFGTL50As2utAEoW0KO0kdMA57NkdsX9tn6WAJk3qWxVMxKF1Q0hRWUjOyMg5bnfOMsrQC3IhC8AlGFgbcSwt2LUFnzJ0WJgUoOcrYUg73IiqO1suBWwTHKxIf2d/MbiSTN68LuxXKuqmEn3hXkw99PGK55SOkYs1EzJ3XxXQ7DmX/DFfvvPLnrr/ujc//wHceO+kEniZwe2sE7ltePiTpJ2t5/nSTLz8WUfYFOB597XFhocKasqDiaVt8n2UIlbpYc75iQawYfT0aUKyYFFsAthDD7hUhhoxdBHYOdmfggxePbEtrtUJzF9k7HxKkhuytsp8dJ0apmC8+XuXIYgm8oTwpuicrZdbK0uiVj9HpuoVNn3ShPiUvo40ctk1HvP3mLk+9XAbtkqRWi7tpNuQzHZVKA9kwEIWF0N/ownsW3l9mr6WVLNpkQJf5CmoGAb6WZjReGqm/EUO7kCHQhzi4RFFSRgEiW4lUpv3zXIqULl63wtXbDP/ugy1Ss4Ry7VzIqDvD/sOrWaynxJF8y+Jyd02vl550lLTF5+NVeN01hi3rOxw83+A3/rzKibMVxkqSiifYNmGoeNqOTnDFoMYjv7g5I/+VjxXed/G1EKPBZQ7snA0HLVpyGGDKgWtSTPIMRycPt+3gYmA7wwFBgxFv2WQA10msPFExpXLE44cUn/t6hV7fg7KDIwWuGJUmKwPMovy6JMBZob9XWIZFXzxOHMaqDu+5vc+XHu3y5CEPU3HppT6esJWUNts7KhWs/s3BPXw2Iz7XEOxGWTZPpdXjOstSp4Mg2p7nVFtJJAa2qEHqS88XFyuu+0W6ZMRlKxJdts1NluHV2T5A/chlrBJSDkKq5ZC5Zp//+FmPIycEM1XYdZX9k3FicJbaEVUTcWqhx4MHm2ysw4GTJUqqwuXrJGXPpq+9Qh31wK0YCS7FRZ/VmEtzuRDDG2LESsvu9NFtSMQAOIOZeQP9LbJalCG4hyDPy2YNTjYu+KKjAGp3wNb2UMoGmJ4XEUcpX3qszMuny+C6CKkyUJmR8oGLWezibG1+koZzGvPB8Rd74fmR24VR5HDZpoS33trhhZMlwsQjlS49rfDSHOCF+SW5q5FbdWkOcj06dMkAKhMxRlsNns+SzMbvSZNvImYBL7NyDGkMQhdX24LFl/3bpTC9ciW7FA/mTC6zWZNhLOhHim7Ppd7y8Ty7ZUzg9bjjmphVk/OsrvZYO72MI3uUvA7O3Xd/mcBzOHm+zkuHaxw65lByBbtXW/YrDkjP7bjiDOmLC2mK4BavbAVR0GdilMVHgtZcc4sie4+O/B3WoOQAH05OzY98JrbV2KbA3roA7Iy9lU3qOCrOAmzBlx8t0+15UHGRIq8cLLpIl8hiFqRXcfnKa1HsCRsdHT1g8GJDclaAFcUu1WrEW28JufuhPi8c9zMJKfFyLa5zqTL8PKTYAO8iJs+Anb23Y8DIbJy1tGyeryoDO7gAdKmLsnE085yvxukA3N+kS3OkyvBiqA+ctEFRnR0hrbICMM+tsGYsYcsNMRifcycPcuzIPFLGOC6LpJFg42TC6hvL9CJBnOYjB8ygrNOen8LtOFJbkk/xz7YdyT+0MYX/z/DcDmNfAUW2k8MvM3gusneBzQfFVqq4m4MFtcxrwjOnZDArfATkBYkyOCywlbJJHdeNSUzKPY+UeHh/CQIHpG1o9vI0eRHUrDiKP7wCc43ORBeD3ciHjoocAXrYd3n9FV3e/touL50KSBIXIxU94eCmw88jNIg0z2iu/BijIC+OOFZKFKSTHVFhjEBqgR4QiwV6/j65yzLU4mZkZc7DzIt88BzQJl89ClnNIlkCwgz/Y1H498EGV9ojSQ2dvsH3I3x/Aa0Njlvqk6SSsVLI1lVdhAlYqPs0OopeKIhjBrObh7UTw0rB4S5ohQ2j9Ogw+yK7jwSaDO/0YmtXvolUHlCOypRhRlMVfHilTIHJV0qR/PUQ1K4aTp/NnRPrmGTuiYrx3JjnT0o++UAV8EC6CKFsE0ZuD4qVzDX8LsNLWxRwYuR8jOjwvLLQSCsVUoFWclBKmqfvjXF43x09vvJYn6eP2UkCsVB0U5EVfGUuByYbKTEsfhqFh/1d8XMUmVTl11Blfy8DYA7qXJZpw+g50BfnNVZ29xSzmBdtZJVlWC+1B9Bw3ku2s1ysCSNNo2NYbBkSE3HVzh5rSw5JanDufSLPYmn2bu5wxzUtdm3xabbHWGz4dPqSKJJECYOdawf7IqbZlnFp3gplSy+1LA62N68sU0YCCjECbjmQJxQAXqgklKPgdiQ2MVHY2eGbgtsZPju5/la5/k5w3YQ4TXjwyRIvHi2B64J0Co0NF9fLrNzEaZQ1R/nTFF6M7nRRmC9Y2OpEq3yPeIcwcrl8e5/X32hZvJe6GKEIhUdfYysAc/su091CGEhhtDIol5EGo4ayyRh7Xo0ymRa3JGOMQBp7fUxWVDdYLQSjMVnxHBSu9aVWsOLeTIM54ekQT2l2DLc8sQmeKNZ0Q8NSy7DcT1izqs8dV/a5+YoKY+WAJNU4G8YCHCVptAVP7jMcOhnyo+9c5uqtKZ47RrPt0QsV/cgWoceJHWVr93nMdrHVgiTbqtl+sLzWWQza1MwlAJ77w0VZMgwyR0FdLGQapsWt1pYFkA/ALQ3qEuB2MnniFCbQKqdgCaoER9mqwSMXBB/7UpUwdqHsZvKEQWuaGskcFpyTnL2/mUQxo0AvypR8nvora3GHii/5obd2uefhCofO2Zsv1Ypeqqy7k9rkzyDYTLME2sqVpFgrlAWbqiAbhkxur6fMbFlZAHvuWxtjR+LYnSEudlMuOgVmFOTDDWQtiNNsg+Ak0Rm27DaJcWz3A+1FmkZXcK5h2Lsz4iffBmPBGL3eJOfaJQQa9Wcf+63V61e5/1ZE5/ZsWeUQuCW2rI3ZvLY/SJYUXQmnkMHMmXSwJBeSG3ApVh7uX2mfZZaFK2jsFZbfoNZbMSpBnFGf22Yr8605TOF1Du7RvXrcojWo8nLYeHCkMuKjXyjz3788Dr4PKkAph7IylJTd68Yr1rcUWuOUElmO4OIMaz7AfiRAHXzXoe2Y/ywlg5axQTe7NAij2bgm4tyi5JkXPRKhQCiMVNgG7cxPHiGUlVbuClG7AoRmxeuhlBkaCIbC66KGXgFgc4l/00VgZwBOUpt6H+zaHKV2G5dsU65eaHuCWz1DoytY7EoasWTzlGTSr7D/WMCJc4LVG69as2XHTV91vvH86fGaO/+2t95yHEeVEBimJ9uMV7uU/QilarhOgOe69EOHMLYltHEsCWNJFAtkVDDyzUDxjey3c7FEsf8fOSJPLi45LWruwe4DqsDguf4ubMWhMmDnVmDO4irLXI5IElVM6ljt7ToRh89L/uJrZZAOSMveg879Qv3NyDGyMq2wQPMfiuyYa9FMcxYTL3kTRDGzqU2WvleZFk8dvvfOLp99sMyBsx5IhU4VoXBwRV5Gaz+IzDrORVpwCAaeeP6ZRjcEU4iBcSCLTC4ExuiBVNE6Y/CMzY20QeGoRLn0Qpbr7QFbp4Y41oSxBXicaKIYu8ltYp/7kaATwXJfMt/RRH07HvvI6QiBoZcm7No7/zZXm3FHh33OLcc8tw9cN7H7wCuffuLw7pta7Fk/rA1wlcaLFVGiiGKJEymUlOQtUfl+5dJgr7YGk1/UlYRRsNCK2m0A7IukiRkNLgdANwPdncuTHOwDcMuhU6KyQiqlhoFlDm6ZOSipSvjCIxUOHBlqbymk9b6zDpqVXe0rM5gDcA89hFdgRkFxO77iUM6hDs+ahFNFKtPBxNgodrhsR8g7X9vh2F/4RKkE4RBrRS+3VvNa8UyHx4Pgd9iUULQvMSuCTwOqwLzS2A2rjMkymQN9DjpfNTIbUcjhqlG86UfOg8niOGM1d5qaDNR2861+bAgjC+wogSgR9GNohJLZXsoVmxd4142hlZHCwRhBkqZMj4X0oxjHV4Klrs8LL61Co6zGTqHZhxcOVfjwz89R8kOMEbhOij8AuMJzHRxp9+VJErWii6VQzSYKqm9FSn5lmluu+LecqYdR++gSPmTuFQDP9bfMA0mNIwvgVlaHK1mwBrMdIY5fUPzOZ2r0pZsx+GhwOTr3ZHRDrBEr9Zs8ipsy5aw5fF3oOF85VsLk80McktTFTxN+5q4Of/lgmWPnHVAxpA6RcFEIHIZjjnP2Ht5ymf5WZniRCkyuTObTY9PmRb9eCUtkRuY1LMMb3eTOShZ8WqBnq/ZKkBfsm1z+JKl1RrqD0SQQJnayV5QKwlTQiATVUsQ/+b6EdRMzNLueNUESQaerqXhVkqSEc/n2lHWTBjfxaPdceqHdeVZrmJiGJOni+5qSH+K5ktRTxNkGpmHk4CiPVFu3ZbCTWn53Dq71ENRkjJ3/XGTsYiReBPPw34ZjInL2Hhr/w2cL7myeR8biasQx0YWgchhYuk5EK9L8/t01zs372Yg4aw06spi5fAVpcpF7MLp94CWBPpAqw60WcxfFXGQdFjzxVJFKRZo4rJ8J+cl3t/n1j3k0Y1thprWkj7K2YZqvlsNa8cHnWyFXRpGXgTtzWpQsZF6zQFKaHNBmYOMWgS7FMIeSVzpeFHEOgnN7voyBXgiNHrT7km42DzFKIdaCWNvJvGXh88jzq5muVdBaEqfQDzXzyzE7dgmmpsCJkgSlQrZtaFLyS3T7Hv1Q4rqG9TMJvqPwvQgp0+yOt4MejREkiaLT81luT9Hru/Qjy/7D4KOwRBWX7RUW26jVlo0kE6OsPXRP8te64H+vlCl6hMVzWZKDfqi7k2zuntXejh/z6Xt8fu9TNULtWnkiHJu5FIWdDuSlVp5RH1+MXMRLQ/yibfdWBGUDYGtz6RS+tluBB07CB9/b4fApjz/6ggsyAhSpkPS09cZlaoaraqaVh/nzQbpukGU1gBFmuJlYztx5+j63NQeaO2NzLLDza2oKN70ZGA6jRViC4d6cCEUpNRgRc2xB0OgLotTO1jHCjigx2KxtKVY8+Jxk/VSE6wj6EXTDFEPIpp0a4QqcRgtOnIMHnwx5281tXn+lBOMihSbwQ4TsoVSIUgkym4F35JzixDkXpEQTcd8zY1SE3QVskLoVYpCZFJcAc5G9VQH0RUAPCupHgG0KzF2YsjrY/SCXLZkVKHNwDzenymftqQHI7azB5Tr85dfK1MMc3PY7upLBzO9iWv4iiQWDIUYjzF0kxqI8oShTGK3qG7SUrRirkNeJyxSlFVo7JKnDmJdy1xu7fPaRMkttBTIGrYhxB3pcFD73xRRaiAzMkM1Nlr7PWXxQWpCzeaZspCjcCNn1NMXrjA08pTTobEUf9PEOCM9uHzM95rBzS49Q9TDZaIoTFxyOnVWonCGNSytxOTSnOLdsbxqN5rZrW9x+ZcjU6gTlG5xWr0TYr1BfnuSR/Uusn5llouZgEHQWDfc9qggjO8lVSIFUkicPlHjmaBnH9ZkqO6wuOexYEzFeVfie3axUKDGIX1YCYaRmQxa/4KVZW14C3LIAcAv2FeDO97LJx5CpArjz2hM5lChuOeGerwc8+WIJXdDeakVwOSpPCq1Z+cpb9L0LK9elSHyQWMlZMgPRYKNULQqVhll2M0vhq4IvnqQujk646fKId7ymy5980QMVgZAYJH2hBoGmzIRHzubfTDzlTRBk2lhJMfj3gR6XQ8BrYVBYl2UQVGZmQ37d8zoWsPPEc0JQ0tqtgQeTY4YdGzze9JoWY9U2gd/nhWOCZw4plDLZ31V0I4d7HqnR6dmd/6bH+rz2CslMZYJA+QSewpmoSkob4KfeFXG+nfChT0zT6ZZwHUE3FLx4VBGF2RUQEoRCuY7dM1JCVWjGfJ1FvybbYU1i+0eGBf85c+ROyCsydv66wNq5g2K1d4HBsyqzEf2thtsJDgLKPLiU6UCiWAZPUNLOOTl2WvKxe6rMtj2737W0g96VsOw9SH8Xb87Cc7Gw6uIs5isL8EvLk2KdNpkkMQVdbsEttSZNFVLa7U9WV1N++B0dHnnR59icBBGDUHZ4TvZd8sAPMdoMvHJHBrCp/gGTy1zE2ATSQMqYjMXNaNm0NAbkUKNnZps117IglazuPGd52xBur2Gn51MpTRDHHo7qc+PuPq+/KkbJFIQVU70Q3nB5j15f4nkp7X7IZx6a5u7THt9xB2xYZ3Ca/ZQ0CVnuNHjspYATJ8cIHImr7PZtqyYEyyFE2n4oXwoqjt16r+YZaoHBd62GGu49n+urwhK1ws++WIqMgnsYYBZZe8jYsmAHDt2UAlvngWUB8EoNwe1k+tvzYsJU898+XuPhZ0uWRqRjtbeUdmKsGM2eDkcmXDotPWDsAsJXAr4Y2o0mRoaBpqFQPlvIaCqtR7S4ThWJdFCJw+uvi/ip97X4lf/mESaWkECSCCtVFMObUWbVjCudldHPWGDy3GHJVgOVSxVp65Fyy1NmpbIGq9HzehiDZXyl7SolVP4mYpgBFvZG7kWS5ZZ1RsqhQ6fn47mxtXOlIU0V3V6JsVJAybFzzVeP97nl8ph2Z4kgaFOrlHBm63BhTvHIY2Mo4XPtFsVY2TY0hLHh4PmU7oKDJw2BtHvdlF1DabCvpMgaIMQgqWBP3mjyZiW4R33kArALfrcsANs2GI9KFGfERclckwzUcsT7zu3AAnNn7O16CQ887fLZh8uEkQslZ6C9c/bOB4DmMxFHgmJGE1XDFq2iXfoK7F0A0jCJbgZA11kF30CuFHS4NBqVJX9SrVBZB36pnHDX63vc/3CPrzytrG0obBF3LBz65NN7ja3QyztoVtqHWP8b7Hcf8cplvqIPGyds8if77EJgZNYBmr1G2/fQDO1CaVasXNjvGSeCMJL0lGur17UYTJ31XOt4gWB22efQqXHCSOEqGKukbJjs8/47ekythnJV4zR7du7EhokS61Z5VMuSSmD3Yl8z3eOJI8vs/9wklUBRdQ0Vz+5QVnItuAPfzhkpziNRUoxKkBFgF3ztQhA5+roQQA52MrYAt78zo9p7oMGLTkkO+HSoxeWw5kRJG1g2OoZ7Hilx6EJgpYmwWUuRae/iHpFFDX5R4AyDIv9hnfxfKVLIpzrl4NAFFr9kjXhuJxbKaKWQmVRxiEKH3Wti3nFbhycP+jTDbPlEYoQgxO6vmX9eYchGGRa7fFbIlRzQeX1/DkhpWRtjr93QGikUcWWyJD8fEoOW9j11du7ySso0tS5cnAqiWNKTOQEM8wEmix2q5Q5ffM7nhf2G9RMJgWe3u6lVqkxVXdasc6iWBM5NOwTt1TA3BlPjCeXAbk9dCWKmJ5o8eSzEmHF8KbN9JY3dNNUVg70lPVfgumIA8mHP5MopVDlIhwwtRSGQLHjd+XgwJQpTleRQjoywtjQjoB5l7swWLLgmUtoMpiblj79Y4vc+U8PkW6MIW/PtiGzH3+LqMwiMC/XOA3uroMEpVM59E/YeOCmvAPZL2YbD1L1l8DRV1t3SCpkFnEppPvieLkfPu/zeZxVxIm2xjFakSPrFFXbkE4gVr4u/y9YXkd8MhQ8tM1tRZgV2wq4BMq+lzTPbg5XKDN5CYINTu9WhbSy251oO7pdillcIsp0nUpRs8dyJcc7XJFXfYrLkS0puQuK5rF5VwtmyvsHcwjKd5jn27jTML2seeVHRjzRhnPKHX5nA8xyqmSQp+7ksgcATg50R3MJgy3yqa16oNVKzvZKti5q26JoI84r6W2VbhQ/0tyoydlFz55agHlqCMkXJGM+LOXpB8tkHK3Q6LpRzcDsIIQc7SQyC2RWsXbQGiw5Kse7kr0ry5Pi4dDGSuCRzD/S4sW6KXNHaJoVDHKdUKynvub3Ll75R4ugFaV0V7IdOtWNBrguFcQVgixEdXtDPZMFhFmxaaVKsYclALgoBqMwky+CvjD4E2YShgUeeWczZ0jEsX7DnRGK7ebq9Mj/+1iaOOk03Doj7ksf3+Rw767B3c5f5RotuWsbxPUU/lnz+SZdPPeKThIIXjzmcr9u7vVR2WF2ywWTFN5SzzVJ9jxFwe64sTG8tVAAOWsouHUBeCuQDYAsbTErBgKVVBmonA/mIHJEm28Ivr7rLj4L3LW23Thhr7n+ywteeK9nh4EJl1qC8mL0HA/hHg8qVhWIrHML/6ccIyMnZfLjVx7AxIpcoBi11Icup0DpFa4e4n3LnNRFvvKnHmXsdQp25Ktpah7FQ9DNilQIL9oFkGZUoCQKHUSYeSBZpwTfSTJFbJdJ2KNk+t+ysDGadmOxvF5OCDNa+fBiRyYb1Gy0GN5sQtsJyvGr4hbu6GDSziyVee1lML4podiK6+Ai3jLN5z6rG6bnwS2m49jvjDtTKgrdcYzg0F/PiGcWEa5gMLMDLvqDki4y5LXu72S4J+eztfMjOyh7JnLlzmSELP4uiJShGpchFzyoHccbc+euCDlcqzXYoKLJ4YsGtYpSX8PDTHr/xkTFS42TOic1aDtg7L6oqNhQPwH4JoK9g8VF35RJUviLZMwpuMbpxgCk0QchXbk7WYmgfJqmDp1L+0Y+2OHTW4aGnFNqTAxY3WhBh90CSeghYK6izHwtjxhPsHMT832wQmoE1+7PWSWEwdsIYe+6sHWgGWc6ixWgDWQ1GDtrW8hmJJiveszXiclBlabL2NQnEieLAiRrHz0xSLUO1lKLKMcoZ+1LsrmuocrCrc/p0+9i6SfVTW9dpLt8quOP6DrhtXjzuMu4JJqtQKwkqgaAcWJ0T+Dapk+9Olnfc50denz2sey5ufzf680hdSc7galSiDFPyK8CtTEF3pwX3ZGgL5q1ojopxnJizdcFvfGyMR56r2E15pGcP5eBKu4FsoMjmDuYbWhX3AMoaHtRwNqK9mSX5INBig3Re4z7Sflco2ho+C0btUzOaCCusgEJmU10Lo9NGB2EahDFMTyX4juHJfR6NXqG2IAs6dRYxZBgt3IzDJWl4b168Lr3i70zmrJtX+r0ZubkpPBdHaKQris1yeYaxeBMy4lMPwz2Plmm24PwC9KIqutf64Wj56CFn+8Y2xggcmTIz1sNxuhyd7fHM4TI1RzBdNUyUBZWSIPCzzVIz1h7O3x42I8jCFncjMmSFxz18zrf9yF8XUvNiCO7hdt4rmXtYFSjzJI4aTcMPpIlKSP2Uj909xue+XsEEaqC7c+dkhL0lF42FWFkKOww0L9WHeGkorPx3U7jYxbqPoZuSaXA9vPDFbU+0zHzxNGdxiUwVqXCQXc1db+jx8nGXD/2hQyTyOlYJWpAi6GcgF6OfalCYBUPLkIKnnX+tgb4WQ12OtLtXyPzfCplPW5iVqRiD9cWzURWpFqhUkEhbGeg4glhZ6zBK7HOc2B3irFSJuWF3mxMX5njxbA2lXXZsjKhUjd1Bbvu6GIPCUR0Onlnikw/5HDk9ThL6bJiAqZqgWlKUfInvFcGdpVfVUF4MHZOLnZIBG4ni74t11cOh6iMuihyC20oUfRGLD23AovZORw+VIFXK1572+ci9FfppttTIPLGjVvjelwC2NBfLj28SSA7twkuDfFB1mS3reflqUYfnDQVGFlwUmelwIbOeRYkUhlTKLOhUpEIjtEYKB99L+dHv6PDYCx5feU5ipMj2nLGMnmjH6nEhEFkxicjrBS5lGRY1uhh+XjLbcDALJUvcmOxv5+WwtvAqA3pmF0ptssm1wxmUSgpUYp/DyDp1/cjORoliC/gklexZL/kH72tz6Nwcn/hamcPnVzNWsefIeeBFKyWabclj+6qcPFdhVU2yalowVpGUc3C7dk+bvEVLqdGEzEjqeuRnc9G/D8E+XGKH2nwF+GXBDlSjLG7dlCG41QorMAe3lHbGYDeEX/2DMY6f8zErwC2yisF828KVHTsXp+ULq/3gtUEIOWzhuwjUK0tSC4wNFzkpK8e6jQScUmY6PWNykbN55qiILJUvNTJy2LYu5p/+eJPHftGn3RfZ5roiQ5cg0TbozFP2Ihe5egXIB4FmQa/nY8g1hUKsrJgq87yNMFncaW8ALQxZ/seeO50lnwbFegzaG0Um++wYbEnXFXR6glbPodVV1FsuMxMVrtrcofzWkBePt4nj2K7oc/XNSKXotFtM+gus26OoBpJSSRJ4MtsBIQsc1ahOHmEwMfSG87tXUGA9VgC7oBvlJcBuZYnOpMsKcI84JIUj97uLAaa0vZZxqvntT9d47mBgPe+RI3dOhuydJ3dWTmuVhZMvit8TLrHMF4ZvFkH9Cj8Wg8z8H4ae+Mpd0rIsZ87k0tj9L7XdDVpIG3CK1LK41Jpr98T87He3+I8fH8+6f4bK20hBZKTtkB+xCnNwXxyAGkRWXJVJmLxcNg82xRDoeW24EcaCGpFNxBrd5SN3SezPw3M8mIczMvPdbsE+6ytOz5WplUq4TszV2ycoVyqkaYrzwR98J6VSmWNHX+bxR75EueTguxZgQiQrGhJGL/ZIsqJ4YYo6rhCoiIvY3Fysx8UlNLdcAe5CEkdlaflcpsi8SydzTZRKcEoJX33C548+VaXZc8HLtbcLwmb2PGmG7F3wuouVjpdkcIap51F0i+KJGPEPV86MGSmhNbmVNjynBjPU3jlbZ0mVEVcllWhh0MLWp9jXduSCSDS1IOIn3tvhmZc87n9cQTkZfjghMMYl0mJQ4Zd74mIlyAdSJftCBXclZ21y69CIQbGVGTlnZoQIV970JivSKdY15X9/tIc3m1uprKtndMp73n0je6+6gnang4NQaFykglWTHTautQ0CnmNwlaQfuUSJ9SIH+4xTSCGPFAMNmWYF0kcAPgS6GQF7UaZcCtxFb1uuYO5RvZ0iM/aWbszBkw6/8/9r773jbbvKeu/vGLOvvnbfp9ec9F4gjVBCD6AUBbuCBfVVXi42rnr1ooJeFbmIegURkBpKAoSEBNN7Jzk5OUlOyell971XnW28f4w555pr7X0wKBjwvvPzWWetXc7aa831m894xu/5Pb/ni2V2z9p6KUrK8QhDR2+JLsvnc++B6H1CYdUgB963qvHcDtX/cHkVMz84doV2thTkqaQ2a5KQxEJkBaAwiNlYD/mVNzXYd8xk12GBspLPNdbvIJYm3ThxR1CJXiWxK0tB/51AnnnWJ0+rknOo1Ak24aL3xlOasLeZVpkZUJ+JFNqHx48EbV/pri1Ty0VGCgGmKSh4FlFoYrb8CMOOOTzrc/3DbSoVSbcbsGmyy+VnBawdtfADlyA0MyCrbNSdTNrXDMIotRlLq3DLMN67YvtmK/aX5cV3itxpxM7PTk8Bn5ZvjRCZRG/bCTm2JPiTj1W49taizrsNzZiknfJGCu6B6J1Fcfpz8BWBzgpAXyGQL6fKeh/sibp6Bsv0SgxWOWWyCc2xKlnklghhIIRW3wlhYoqY17+ozWJH8NsfNDi+IMDpJVkgiKShQZ6lKjoPRqlkAtoJQJ4OIBNkGpQ0ZVeJuCtLP3KnJG8dlw7ECiPtsxOEQvvu5NKzSOnBaN0oZP1Yk8vObrNuQtLpWriqy+qxFo4dogo+ZhBJlLCPxbG8yTYnr3xsR5PFpuChJyNufqTBe3/iKBdsayGSjuVYaUC3OiatjkU3sOj6Jt3AJAxVNuMw85lb4eiL4FJ/3aMJ49wGM2aQHtR5+UqROx6oVob4xFx3T4GbH/QSrYmRy7tT/xBNC+ajd38UTy7EPhD32zz3uOIewgeX3mzty62CA8E7t4/LD0rt5eEa0MlmLU4MMmNt1xAlUTcDuNRjS7IKp1TEcUwUmhhmzMsu6PKaF7b49DcN/Ch5wUomuz4IY5MuPTDLrEqpq51ZZ3Ee5KkEN6lupnl3Xgq7Uo9FfkOdgrsbCjqBoBkKGr6g1dHWEkolbWsy4qJTZvjvPx4yWi5gGhbT8yYLnTEsy7mpUnKPCdXGPPeMbWx/8BP7zt9qfdjojFx5i2whpKNJdSEplw4TxIvc+qibzBPX1cxzt8ZMjjrMLJQQwkuAayAj2Yv0WVm2/xPMGmBzrMpycOdBHvfl5ZnWRObz7jBhTLTWOyTi63e4/PnHyxyascExMmBr5kQihY7edj5654sq+Yid157k0+use+XE2pMTZSp5kVUv/YgHuPBe2te/4UyWb6GDjky6fWIhiKRExBIhFLEwlkXzwI9ZMxTw2z+/yGJb8tW7SgRRgsSMFdEzglJmRaaRHHobUDkAcuhRiLL/fWYja1YAt6LnSxhFOvVoBYLZjmCqEVErtrj87CZFO8rMNm991MZfEuzaN8rTYYkwlrQ6IXZ1A8cfjT58y0O37/u1n3+zntGz/6guuS82DdaMm4zUJcNVn/WTS2AL/uQzNa7+Vo1Ymrqb2Y0596Q2b3/1IudvbhAEFkFoYCq9vRZC23r1yT5zH3c6T12QT1H6wZ3/OmNUBnJxmVGDYZK2JL6CdsihcNaguQAATVVJREFUacnHryny9B4XikYP2AktKIXAEeCsFL3lQPQeSFX6KMI0cIt0Uy2X55ff4VjWeJyTreZVdLJPgJVYGuciepwCOnWCFblUJU1TRDIJWZgEXcW2jQE/+4YGDz5hs28696ZivVNU0iRUkq4iy8W1TiVdZ/RJEXH6eGWQp+DOR+/8CpVVL2MIlS7Pd0LBQjvkklOnePurGpy7NaTo6ghuGBGf/VebT94wyt993WbTSMRIJcKxAk4bCpishfh+CCRDqIbHz8C0PJSSjBSeZv3kNMcXOnzlHsU375/gmWNllG9lVmVhR3HnIxWOThV415sWOXm17rIX9PjjODOT7NFbWfdIvpcxB+aMVcnGRSd5tsgB2ki57cFijs69TSNgbknwoc+Uuf1RT9fc85RgEr0NkXTq9KUlOfYkn3eTB3WvYTbbyQ9ieTDP/DePBBA5XjxWSQc7J4jeCdhlbsMpcyyLELlUJQG8EJJImMmFGCNaMS86u8uv/8QS7/snyXw796aVSKhAEz9JUCQJs6hEIspKVmSZ24imIFd6k5pKXAf3Jnmdjd5c9uzfhNDivJeetchvvjFgy6oqQWQQhwrDjLBkyFtf4nPxGXNcd1+XOx4tsfPpAuuH4cqXruaSi86g0Wj3AF6rj3HS5slv/a87r/3AfY/6vz3fhHZQ5chxkziwmSyAV01GXRs5Hz6rxrMHKoyUQiwzTsrbenqATLna5KRL+i/hHrjz+Xi+2NPPccu+HLtX1JE5gJtGQFcq/uHaEh/7colGWq0c4Lx7G8v+cvygkX0Gark8cme5ePZmcrwtPduI/L8njOL04TtXss+vgL1KYL6En0popUhBrHLRXefkgjR6G720JVZEoaJoB7zjRxscn5P8709Xace5DWcCdKUEfizoFYHIoreO6sl7TOlCqT9q/bpU//vMrVzal7DXe0oSSCwDxkqKzSMVFhbqPN4SmY+knfhKunbIeMXnp14S8KIzmrT9BRA2rrf7AyPjb/lWpXIUSPj5D3/oLzG9IJCqu2VhwXzt8WMmLjZjZYOxClRdRdmFige1ItTLkpGayfoJi7G6lczt0cY6GfORfODp1Qw9QGQMikxZk5zISuQai40ek9LjvlW2ocw65xO+W1gR2/fY/Ok/Vzkw5eRK8VZyMxFSYktwpdKS2KS4k9769OvZ60rEUaJ/lLiQublBgn6BlUgrcZJ+w9Ge2EqIgZw/972+US6D+4H8kCn65QPZMFaZoy37ViDV+17SM+baMaO1iLu32xyflvrjypdpkSghs2YHSe9+xRmnfXuV5cxJSgdGsdCuscnmMi0KWYaiXADHtGn7Ll3fouObdHxtNtXxTZbaNlOzReaXSpiiSMFyafnDHJmzP/3Io7fcc9FFV/UiOMArrnwLrutSuftubPUItbJDwVXMLobMzGvAOrbEtQ0816BYkNTLUPJCrQ0Rqd92hEBzsCLSvkhxrCmiNEL1ol4vLRHpfX5jKXrUoJH8jf4SfE4Ga0ds32PxzvfX2L7bQdkyl3On6UkvNdEm9v0Tmwejdwq8wTJ9PgU5kSZlufnPCaK3ykXwLCVRmVpVpr+TTn8QqfhKJbl2b7UUIvla6KiuwSeTsnhS8BFGkmZrH0BQ4CtO3xzwkd+e5x1/Vmf7LgEi6EXxhFmJYgNfgkzSj/ReKJJu/YQ8UNnHm3TP9xYFcu+nRwcKouT/xIlYL4qg2Y6YmgnwfYtSwaDgSjxH4dg6OE7NCWYXoeAIbNPg9DNO49IXXUy32wH+qB/gleoQnudhWB7jI4qzt/pEtHhmX8TMfJly0aDgGRRcg6InKHuKSimiUgopeCGeE+A6AZYZIoAwNhC+SRTLJOcSfctQH/OayjuTFMfI0YYiA3bSftaXmiR5txXSVPD31xb59k6XyDR0MScDtvZhloKkS17lyvG5USQr6L6zHHwlQK+QW/ZtPp/rkd+E50CepimkqQm5CyAWGneJGCvd2Otij0pYFJ0nx0IQ6eQ5MchUydcSIUyEUJih4uyTfX75dQ1+529MGqEAK8y0KvoeQmXQjdEeK0JvOiUQSZ2qCCn0AFeRozkHzpMmanQq5UeCVpimQOAZutJjGgqzrUCEhJGi3dX4K7qSUkFRK0UcX1zimf0RcVhg86qAiwoetfownU47O7UZwIfKNrbj7X7BafaecCnc9PiBJR5+2sBvFVhVl1RLFpWSfvKSF+lbIaRU8CkXuhS8LiWvQ9HtYhgxfmAzs1Ci7VuEkaYXVXJSlFK5yk8/oIRIQJ0v4shUVBXlCjpp43BIO4aPf7XEF28u0pU5UA9w3qkU1pbkNCfp8n+CIVIZaEU/VbhS/i36tSjZsizyX+TW6RNE8x6zIvrK9qmhpdZ4qFyenmzkE4N6zajozaVMFIck5zZON4Mp0JOSuhAKOwx404tb7Nxn8vGvlmkGAqzkteaqnaHUzIpMNpUy+blQOj2KVRK9k8idDwxS9N66DzR8wdGGwg8jDCkoOAZVRxKhX2sUK4IwpO3HtLsRXc8kDA1cW3L5mTHnnzrPvTtaxGGZ3UcLey6gsLvj9zo1MpnvX/yv/8WPvfGCPZ5rj157+9zln7+pgyfLrB22WTViMzokGK7GDJVD6uWQasmnWupQLXWolVuM1peQssH2fSEP7YI9R8EQNmFYpNXRIM+MCUQu35YkICZzpzIHO+UzOwgNcDPJuS0zpBkqPn5dkT/9WJXj83avOyd/E9p+zUluVpJ7GzLXkPEdcu/eTfQ/Nnr5txDayF+kuXgC+L7cO70I8hvXfArUl4OvnB4t050PyB+WrSwy93tpQKHHYmVFmATH1XLEuaf5LDUlO/aYiSgr94vJC0vV4po+7e+lTK3a+jzeZU9enTbEREpgewHnnjTLGWvnqXgtDs/BQtMkwEgarFPPcJK59HHW4SOlw+phm8vOaLBm9Tg4J//t7mf3fPSC885bHsEB/KhO0fCuN2TlqktObpy1elgwOmQyXFXUywGVYkDBC3HtANcOKHhdaqU2QrZ4eFfMV+4qcvMjNQ7PuAx7iqsulJy5ydUdP8kuGFMiZdSTGueqmiKhCPMpSVqG72dMdOOw4UZ87YYCf/axCsfmE9ljX95t9FgTCbZQ2cjrHnuyAnOyUiqSMSQrpycaA5oHZwA4/1Z6Aik3obJIDqKfGkwjvFL0dd3nyvcql4unTI6MBTEyJ27KRW50qI2FRKAZFr+rmKiEvPcXFpldknzmegmuAILcOxXE0sBPx5jEKktZZMrRi5xQipT6SwGulYBDVYPTT4q46pKAatHn6KzPrd9e4mt3lbhvd41Wp8BCwaDqKIqWwmtB0YlZagU0OxFLLZOpuQLrJlazarL67VqxeD2x7Du9Rv6Lj370n9m8dd2B4XJ0wZZV3XPWTSg2rgrYsqbJuolFRutLDFeWGB9qUq+28JwGj+zq8rHrbT785TFueGSMTqvEkGsyWjRxDBfTsDHNXOQzBjvk+3UmhjHQW5n5C6bWD4nVsRuy+7DJ+/+5wqNPpSP+UsPMNIqbCCEy1iTtlDfTCC7yTRs5Y818R1KSxhj56J2K8hPgpxE9Vbf1WBCR3fdF9cF8Xw5EaXmC7+fYuzSyk9Ks9BiSFVOsXNQevO8TCiVXWLUa4bkx9z5mMTcvdSjs00JL4qS+2a/bEVlRbDByGwbYpsB1BCVPMjFss2HCpujYmNJmrG5w/skhl5zZYN1ok0Yn5JkjBotNg/mWYMFXTLdgekkw31A0WzELSxEziwZ+ZH/j8OG9f/sTP/lzfQDvi+AA3tAYsZKcOXmIkeICM4shu47FuF7AvuOCrh9x7qY2URRx7V0uNz9cY99MDYHHRAmGCxH1gmK4LCgXtNdF19e6XctUWXc4pAWTAf47X6Hse5woBJNK5Z4jJn/wd1VufbiQK8Ov0MSQpiUiTUt6Bj4r8d7L3GKF3jitBJy0PN+L2D3E5DfR/2YQz/HAfVE9q16qrJKZRfJYZZvMzDMkKcBkUTzWLIqIYwSpz4iCpNraoxmN3EqUcOZtxRXn+Pzxryzw+38n2HsUXTzIuoF6m04/1rpwQyTRXGimxVT9E/a0nlvXUGxLt6MtNgWHpjy6vqDZMamWbNaONPml1za56uJj3PzIHF+7s4QfSU7fFNPuSvYfs3Fdk0PHXJ44bHPmFsnrXlklDONl53YZwF908SsQ0vSP7Zqi0T3AB6+p8MhTRYquZkQa7Zio2yCOukx1C3QpUXNNRjxFzY2peIpqQVD0ZM6zkD51oSCNKD16cFn5PVfcSdWBhgywrZB905I//IcKX/zXIr4we36CufREpE0MIhVT9eyP+1KTPo65X+/exy9nr30l3lf0pyr9OP2OwM7/7jJFYe450rHfPZ1KaumW65ZJ0pVYDYBbCA3+ZASaiFMBoE5RRO7DiZLvAThmwJtf2iZSgt//2xr7p4WOFLnLVyHpovcfhlIYidrPGHAFyB8yOblxDN1A0GgZmIZN6sUYhgaVksmaoSY/8/IWb7jiGFHo0GkMs9BwiVVMsdDi4WcavO/TFc44+RwuufgNfhBEwLu+M8BXjY5RrhR+qzG14ZSPXn34RYcPKbaMmBRsQcGVGHbATCvkvidtQsqMFg2G3Ziqo60lSp5efgqu7rq3jHScXRrlVF/UNjJtSa96uawMn0Ru2wzZPy35nQ9X+fLNRXyZyl+tflowybudfN6dLfmDFsgDtODgxk6KFXPyDMyCZeDObwZPjO7kP6QAyEXtTEK6gstVqktJmYrUx0SI9HsqYTREMr8yzcMFeseZRmkdiQV63Hb2onqOmBAqLODHXtbClPC7H66xf5peuqIAJYmVltcaAkz05x0LiKQgSrUyA3x/nIwK1JFbYhqmPl+pqVEsCEKDWlkiowb37ygwMzOGKQsU3ZiCF7Km3uZ33mriDa+9rVRd91vdduffjuCVapEvf/VbSzD2dNUZvvSyM5YMQ5gYhqBegbO3tsFc4j3/p07ngMGIG1N1FSVXUXQFRVd7xLmOiW0LLIvepIWcsY/MUYH9Rj1RT/Od8zMxzICj8/Dej1T48r8W8Q0LjDzX3a8zSTeVlkzybjGo915OC2aCKnLpygrgTn/O4PeXgXpgJ5qP1itGeY34bDBVji7MBuomYitBTp9CD/wp2HuKQ6HBnKQvKtWlxPmXlbwiobLvp3l7GIKhFG98aZswFvz2/65zdD63IUiqBCEGXaHHFxpxYqeRpFFxwtXHsSJSgjAZNqUnpimsjsA0pPagz1YzTSu7TsSewxF/8fk6MrQ5Z2NMtWRgmnoC0erJcnTOlsrTOx7716XTznrZMoBLVjiiWBCHjXeefxqP+3GHchk2r1Gcc1KDDaum+eq9Dk8dLDNRUtQ9RcVTlNPI7cmk4iS1A5alktF9PWP6/JjtnjPVgElmvpBjBihL8dHrSnzxxlIC7hTYvTJ8rzNea/gzV9jchm2wFW0lSeyJmov705Oe7iTLv3MR/Ls5+tKSfEQfSFVUrho82Iwc5x73tOMy06roAlD/1LYoZxyUjgrv3UyiOLlFJmYoePOVLX7hqkXMMIQohDgApW9KRfgxdGOBr/QcnTBRB4b5JobUYDNUBIGegdnuKpodQbNtsNQ2WGqaLDZsFhsuMwtFtqyyefULm+w+3uXRPSHPHu6y1OxSKMyz57h8fHq28U5DrnxujZW+efXnPsnrf/Q1qhPXfvGxHVOTW9fAWVsWEeYM//rtkBvur0PgMVGJKXs6LSk4GtgFV1c7PVdqH0NX4TkK14lx7RjbjrCtCNvSohkrmTasB7PqOfGGEWIZAUYys1LaETfe5/HBz1Y4uqhns/dz3Qm4EzrQkSQ9lj2dSepz0kcTpvl47ut+R1zRfyEYIpfC9NiTrE9QghQy0ZXkGJSUbcnx4H1ygHTl6NsPiL5VIVsxSL+nVlxF+hcN1Z82pRdkblHp14nkaJWBe4FeAcdHQnYdluzZb/QvZUk+3htPIgb2MqI/wCTpX++9ytzz5PtMDQxpUC8FBKrDs8cNpudNhkoGZ22Fc885/Qgi/PvzL3rDcwc4wF/+5UfE2lWra5uGn3mhEIft+e4in7jR4lM3jOLgsqauqBfRUTsBt+dqnYoGOhRchefEeE6UAFw71zpWhG1qoGfATseKpFPPksnDhh3xjXs83vOhOjv2pnMrTwBuoSlbW6qMDjREPyWYGfrkonjfxOEcvdUTUaXg64mqMnFUXlglRN+HloI8P558EOAZuE+wcpD+ffKAV33AH0yZ0r1OfrVZni2JfvCnP1QnBjlKMDEScd7JAXuPGDyzz8xdJfpJYpHy7vSJ66QYfA8Dr71fvEEUS8JI0g1MOl2LobLFK85vM1xrcWBW0fYjppbWN9901Ws+sn7tlrve/4G/WhHHJic4Nq6fVPff/8UPBe76d37yxt3FuUaNhUWHbeOSsaqg5BpYZupZoY04XVt7qHhOAu4M4DGeHeLaYRK9IyxLgzgFcgpswwg0120GmHbEV+/y+L2P1HnyWbc3WsTI8d0JuB3R05lYuUKOkQN3v7tWj0kRKwJscIDWCuxJVq4X5CNp3/EcNpr5fLyvVJ/8E6vePJ1e54/KNppxTvSUfk9ljApZo0Isk7lJiWOmULLPf1D1vd7+DD3Ty3QVJ68L+cCvLiAFfP3OUu+EJM8VYNLKOjL7eaX86tOrwMYIESISgkAp7V7V7gikNJhbMplbsplvuJy7cYkNYwHTiz6itHbm9gcf/dBbf+RHT0hYnRDgADhnYXuLTNZ3MD3VYtu4ZKSmKZyiq6NRox0ThArLkriOjtxFV1FwYwpORMGN8JwQ1wlx7BDHCrGtIIncYTajMr0ZRoBlBRhWyNfucvm9j9R4Ym8K7lx6klCBebZEO8IOpCI5IPcPcO2Be7CCmYJ52QYzF2P6+jEHfy5W4sH7kZ6KkFTu61TzodIqYPo7SX/jclYl1wyRVTTT3oO0d5JEkIWmCDWFgUCP5kP2g1xfcP3gNhLBl5FEcRCctiHgT9+5gEJx3V0l/UfN3psJlEUTqaWwqtfg0GuEydEqxMm5jJJzpo02g1DQbMcIoSi4BlPzBcbqNhNDLeKwxEsuOJVyufIdIfwdAb517aru7j2NX968YfXViwt7ihsnLYaqknolZrzeZXoh4pGdelCqZehpD56jKHgxRTei6IZ4bojrBLi2BrhtasWhTkdycypT2aupwX39vS6/87d1djx7AnAnNsduji3JNzBkkVv0eO+MGVkhHTjhxnLgZ1lxpy93pRfJM6A8952mykXy7DPPS2dzwO0VfzQl2GNQRFIMSiI7GtRC6Faw1GEqRvV17DAAcu1Klf6gV5RTackSINTv97T1AR/41UXiWHD9PcXkJCQqLGJCZdFMSvp+LAhihZexKeQcdBOdpNDsi5lUOwtuxFMH2szM66yhXjGZWzRpd2xGJlc3/cD65UJxffffDfBWZzZet2HDA2+sqsVNw88Uu12DWtln9egSs60G195YxG+U2LxK27q5tqLoxhTdkFIhTACuZbSOFWBbPpYZJhvJnqY71ZiYRgBmxA33ubznQ3We3Ofq+SjSAsNeVn7XaUlCAQ7k2TIHbiFWUgoOfI/l0bsXnVfiwnv5pMxyyIG79PEA1lV+5c6nKfmoTS7K93HiYhk9mI0fTHhvFetio0gLQbJHI+oqpI7gUWb5gG5oIF0uyJSKhhIotNJPbwAh7wxw6vqAv/j1BRRw031FIpXICFUMIkIpAz82CYRByxAUIokfKYpxIprKAA5CaAbNsfUYnK1rO6yanOJvvlxi/16PdfWYalHw7Wclv//uKxYnV699YGb++PLy5XMF+KrJMcCejtrBmzZuPuvWYwcfsEqlJb5yr8/1D5QIWwU2j2lDTs9RlLyYUiGinMhoi55PwfXxnC6u42OZPqYRIoSmBEXyCYhEXIUZccvDLv/v39R4an8u507tjaUeBKq1Jelw1oENZA60fQ3EMj9ASvWzF4O3BJzLxVcDdm0iF8Gz3+1F+D7x7EoBPQdg+sCcy6VVjxPv8d9psURkF2svN8/z4r00hTRfJ01ZpE5SEouH1DBTCUkivUKpGI1XoeeBZ687eeMR0IGT1/n89W/M82t/Cbc+VCBCgYqAAJTuBbWkQSgM5qVFwzApW5KyrajG+sJMWzxMKXDsCD8QtDoWm9d4vP8XZ/jGAza3PVSjNWfw8hdfGEzPqzfZTn3aK5a+E4RPzKIA/NEfvY93vOMdGPZaaVnxa3fve3zkLz4fcf19dWzlsX5YMjlsMlKzGKoq6uWIWtmnWupSTmS01XITy2rS6LTx6bDraMz190gMN8QrBhScENuOUIbiWw94/MZf1nl6fxq5U99uGyG1d7drQMFQPdlr5t3db9vcKyot57zzgM+PMez5c/dXNHsy2aRFLRNbiQE6sdeSlrEnuccrbV6XXTArrBhy4OLJNmoD/ye9jpbRhrnNb6an6kuusun1+rFKjSHSr3uFlzQH188lMuZldCjkBaf5PLXf4NmDEhXFmIQMu11OXdfkNZctIIMuMuhScX0WO4J53yCM9cqhDYVUtrIahkQKEyksJmqSy8/osG19i+ONIV5+xRW7Lj1360eOHT++MDo6/B0B/p03mYAQBnff9819tWrlHYvBubcPuQ+xdQTKrmJyyGK0bjFcUwxXQoYqXWqVDkMVDWxBm2ePhdz8iMnVt9ZQwmShafLsEcma0Q7nbmlz1aUtLjnX56k9Ju/66ypPH3BQ+cht2AhpYEnwpE5JMj23yI0j7Mu1VxBQ5TabJy7k9AMu6ysdiOwr/d++cJ6jx0gj+grRO593L8u/l+XdyY9ybWtKqOTrnLUbvXk4g34qMSLrg5NJWyGoZFy2zr1V8p71KqDb0qQUyUZT9ICexwgguoqtawI++K4F3vVBxTN7LF54rs/rLulw9paIVSOw93CHxSYgFV+4tcC/Plxh75Eyi22P4YKBH8W6IYMIKQNMw8YwbGyrxFJbMDsNL7tgbLstd7/1xlvu2XfR+W/5t+D7nMRuLC618QruliN77/qnz17zhcu+fnubDSMlNq+xGB+GsbrPaK3L2FCDWrnBfKPFscWQ+3bYfPaWMo/vLUPsIKWRjGyMCTo+NBtsWrfE29/Q5Eu3eDyywyV2LDAckA4YDkKa2AYUZC9qZ8OhTgRc+lOPFdvQBiqbRo7zzvPjKRduJNFb9EV5kf0/kW827pPO9ufqvZ8lr2lANts/T3RgCl1uZVo2GDc/nS5nYJof5pW3yst6YEVK1eXsPETPRk9r89PniHoNKAkDZiWUrmX4mGYXw4t4+EmbL93i8vY3tNi8WtFeKtFsuwiMpKElROHzxLMxV9/qcu8TZQ7OlZhZLDBakKyqKkYripGayVjdYutaxeTYce59qsrOA6ve7FrhFz/x4d9/LtD9tyM4QKXscfcDd+0qFbwPueWzLtsy8RCnrDcZHYoZrftMDjeZHFlgttHi+ocU195Z5PF9JY7PFQhDm6GSwDMVlqE3b53I5HgsWTO5xO/+1BJnn+rz8NMW335GEIue86uQBraEolTJSBGVdcH3KL9+YPct0fnHy5b0FaK3WB69+4ogfb/b63pn8DnSGJ6L6CcI4H09i6ikv3cwagP91OByAZbIf1/kfo+0EYLE4VVlzIj2yEw9A9O0R6ELNiDjOLlINcD1XPoIDNFzq4Kkb9bEUCFRELPnkMk37/A4Pm3wnp/oMlopMj1fIQiMxIIvwrFCtkx2+a0f6zK1MMf2fQt86a4SD+ys8vTRAksdQTcIk1K+xdxSiZdcfCY/sfYcgqDNJz78nPD93AAOUCxtxnbLD5xzWnhN0Zh9Q8XaxdpRGKkvoVjkugcFX723zENPlZhdcClYJnUXSrbCNSMcUyXGQYIwEmyZ9PmZ1zZ40xURXiHil9/Q4lsPlJjvpN3wBqYUFAyFZ4BjKCxD9bEly4T9KZxy+eagrUI/CPtTD5ZdFHl2pR/w2dcMXAi5kmG+LL4M4gl4heg9ToeP9TEnJOyI7C/u9LMqOXow06LE+rEYBH1m/po4TiUGm+nrzbe2iaRLJ9YAj6TAVBrkvQZyhZQmhohRStJoSP7+miKPPlPiyUMmDT/gp19ewDNKRBGYZpwV+xabHp4TMlTyefm5Xc7b0uLBZzp8416PWx6rMnfYY3JJMddYYtPGjYyPn3HN1i3bHiBaeq6wfe4AP+uUCebnDu/btuHC3zhw8FGjKI2rJkaO861HA65/sMJjz5Rot21KlmRsXGHLCFMqLFN3cTiW0JORbYHrmJy6Cc7bWKHVEIhwia2rupi2gq4EYWJIg4IBhQTcttlffu/rdllJeZ0HfRqV6QctJwL8so3eYGm5X3SVL0Onj+Vg9M9jW+U2ewngUnMoyGnnUxAN5uIps8KAQIve98kVUzJ3LFQy1i99+pz/d/o3Re9x3iRV+9ck4wtVbyMqEi1/JLXRpx8Inj7ooEoFYqvIwzthpGBy2no7qW5ryYabaJJMM2Y26eDynJALt3Y5fV2XK8+f5oYHPW66f4g1EwWGhspfW7vhwt/Y++zB/Zs2rvveAxygVl/FAw/cv3/b1ou2Tx+cuerq26b4/C2jdFouY56gUgfLiHu6ZaEHVNmWBri2nDCoVwyGq5KFRhnPjbCtLn7g6xMrTYQ0cKRmS1xD4Zg6eltpc3Bacmdl8AzCfSVmIfuvA1E7/5QnitaD0Tx7TLLUy/zz9D9pCu7sNaZl+dRbW+RSE0U2y0YMpCEZ5y1yzleqvwLadzGptLajC0Ipj6Jy4SFjTwZOYJrHx4YeeGUmFxmkexUtbY5jA4XEsgwMw6HmGQwXYubmFftsRb0i9ah4T8s6HFsrS6XQMlqUniJSLgScua7N5skGBWuWkdr5XHjeJdt3P/Pg/jPPvvC7gex3B3CA+tAkG9es+cDHntq56d6diz+2ptKivkomczP1B91qx7Q6ehkzTZEYBkmKnkGpaDBUVnhOpJnPRK6p2Qqt6TYNIwfuGNvUQxlMoz//TkG4rBMm93UeqH2Ah1x6InpRPgdYyIM3d5HI5ZRfn1Yl48K/w7Tj9ELMg0/pZgbNCLOsUHOiHDxjUdJSf445SS0m0pw5xa9A9FKi7Jwl5kI5ajDVwEipMCKFaSSDWVXCiycpijQi7NhExd3Ej1A7GUhiOl3F3FKAwiKIDILQwHMEjiOxDf3aGi1Jq6PPn205OFaBSrHE214qKQ4Nf37rSWd/YG7m4HcL1+8e4Fs2r+Uv//m6hdBa//NXnrtndeh3Lp1f1CnFUEXh2iG7DsbsOgCOLXDtRGXoGBQ9SbmoKBe1RsU2I93FY0Tc+IBDq2sjpIVrQNHUAHdNXe+xzCSCJ7fMmgzRNwkgdSldQedzwiieT2X6vr9sAyp6lggDlUyRMSQia8nqoxahL4qTbiaT76ebwDij8Xqpikj6MtO8OSv4xKwA0vxb7iX4OkD2Zu/kI3VaJEolqlHcM9xPT0bKzESRIjIS/XnyfIbQG8cgsig6Bq+8oM3Hb4gIYotuMoWh0Y4wk1J/HBsEoaQQKSJHW8cdnQnYdVDhWpJqWSKloNUx2LR+7M53v3v456f2f7Y1tv5t33+AA7z7Z1/DvQ8+1FLqSv9j//JlVle7nLE5oOg1mG60mG/btDoVygVJwTMTfbig5OlqZzERYDlWiGMHxDLgpoeLdH0PyzMpGwrPVLiWwrEUjtnz08joOtFjIeKkSyRORPWZiCn/aYseW9GH/cGUheXMCCulI6JX6OmXxuoInz5P/u/kK5tZuT73GgdBnrq1ZqrBlAlJI3nKh/cS6IwP75VI+9/bikeSmsSKZFKHHs+np3X0LnQjGaFumWmDRe98SRljGSGFssWV57X5lxu6tEOXTiBod/XnaCXVUKW0r4lSOhgMVyKq1TnaBxSHjhcozlmcsUnwqsuC4KQzzn/imZ2yddIpr/v3QPXfB3CAjeu3EsfxfeedslHVnYcubYYN59pbI+7fWcBSHqetFhQ9k5JnUPAEnqN1KgU3wks0Ko7jUyp0eWI37NxfBMulbEHRinEtldzSCK5HGGqDHtEH8ChWyEgQhKnfRw5E/RjvgXvwE+9jXvrBvLxgtMKouz7Ou5eqLMNSDhWpwVcKIjkA8j5wK5HYsOXoxRVSM/1Hejn4Cm9xWcqmN6MyGU0j8ANJECZuZMkJS9WYhiF0FI96Y2oEOkc3zYhO1+WktU1O3bzEt/eWWHIkJV/g+ArLjLNzGcWGTk2lZKllcOkZJpedM8v9TzX51v1l9h6vcJl76VNHDi3+6voN37la+X0B+PhoBeD3Pv+5/16aW6w/9cUbo1WNlosMBVtXCYbrFkMVg1JBYFsxtgWuk2+ACCi6XSyzxRdu9dh7pILnGJQtRcFSeJbCs/Sk7WxMeDI+zjDSNCAxTY8UIlBEkf50002Y6gW25ZF7pQ8/l08sowuF6OXeacdOehO9Ik+aquQvqMELTuW+yNIV0pyXzGskzr82ktw/qS4uF14N/rWV3mR+RF/vf2jnAwWRTlH8QNLxJUHYA7geXa4wDUEYKex4MIorpLQxjYh1411+/MULPPxMlaVumYotcP1kJZZa/x2GiiCQhJGBFAa2VWHbOsUZayMmyiHH2mOds85/+dc8t6CGhwr/boAb/+7/mRznX/5u/GCotHEifqHfnTOEsti62mb1mMn4cMxYPcS19VlyrURpWPSpFDsMVxd5aFfIX3xunHm/yqgHVTumaCs8B1wb3ddpC1xLT1pOb7adDqeVGIYgzppYdZoSpRPfcnE0zUYGG4v72qmS6NzTnIjEVq43b97Ivifpt0TuXXyij8bsvYCM5WD5Zriv40Asj7iDt3znf+blkvxtQ+S07n1V27yLb48hSTfrfmDS7Bg02pJ2V9INdN0ivaW5OmqwbN9jlxxLsXasy4NPwd7jHrZl4BraFtk09e802zHzDUUYxPghxMqk6MH+YwGN7lb/RRds/EDNPfI/hyfPDP8j+Px3R/D0uOrSwN+8bvz913xrwX9058wfn7NFyLO2KsrFDhPDTTqhz659NYLQxXPAMmNcO6ReaXN41ueDn6tzZL7KkCs0uB1FwdHA1r7jImFo9Ahxy9Qd2KYpslRFj7MWHJ4NaHV1s2sKDC19FhgyHU5KNnUgYzLyR7Z892L9YLqigaLBbch+wVX6O/ljcEXpCf8zVAO99CYTOqV7gUTX3bOIUIl2RGV7jZX8R/q5/lw5PlfCT8FuqQjLlCglOTxtMj1P4lqbOlNpu7UgFNhWstmMRfa+VLLBEUJ7TA6VI/7bWxf5bx8pMDU3TMURlCL9Ah1bIA3F3iM++2dMJqsxR2ctfN/k9G2FeCka+uNv3L/mrzxzxv+P4vM/HME/8g9f4AVXvC203dWzZ2/zfrlg7ZS7jnXZtq7JUH2OT37LZte+AhXPolaKqZYDhqpNioUFPn2LxadvnsCWLmOFmLIbU3S037OO4JpedB0D1zaS+5SVEdrGuQBDFcGm1W0OLrR48pCdcLQrABQGcuxcHi16jcaG6AE2jdpppDaM9F5mG95UZTjY65ne8uyJZnu06D9WiVgqLcIMXmuil+oMVlV7+4KepVx/P2m//0xeWZnqV1KHA8uMcZ2QcqHNUwe73PqQRaul8IOIINTml1FuVex18KeUYo+LSlWJlilYP+Yzu+hz39MFDGlTcRQlVzBWtzj3ZNiwep47dsQ4Npx70hzb9ym2bH1RfOFZW39zYqhz+Ede/9r/KDz/4xEc4MxT1zEyvOaZgweNd84s+n+nDj4i236LD32lxLd3VDh1je40N02F5wQMV5vc8hj8w1dHUcpjvBxT9WJKLr1qp635c9vqpSO2JXGSvNyxdbe+50ZUiyFb1y7w+MEmNzxg03UdKrbWr6TZaRbN86VwBpR8eXBxopQgAbjIgdvob1rOb+JSUIc6xU24fx0B48RIsxe9VcJpi14LG4IoF8UzC7d8USdPEfZF7eXvIxNYJReAaUTYVojr+FRKS+ybsblzR41TJgPKBT1Rz00/h0jPRtV22NpeJIqTWobqDQZOKv+M1CLe8ZoFdh2c4eZHJhkt6vxd07gWl5ziYVuLfP3uEoYs8zNvPD8eGtv8Trd6+jPt+LvnvL9vAF+34VTufnCnXz794o9tOnqgMOxV/voL35pl+64ym8ZNRusmJU9R9ALq5TYzi22+fFeFqcUqa8owVNDgLrq64qnzbJGA2kgamgWOrYGdblYLTkypEFArdygWOrzorCU+c1uZ+aaLkxaF0qpqMnJP9GkzVgb3Shx5z0CzXwduGL3RJ2n0TIGkAS6y8Rw6Ampwh1GczH3UF2Hv4kkaYvJFKkQmwoqTbh1dFNL8uDHwuvvegxhIT8RgdNe21I4dMLcUcNtjBRZ8wfSSIoxjglCzU66dRvLkPpZEKvVW0elKFCW3bG6QYqQW8bpLmjy2d4mZZpXhoqLZiTg2Z1IqVLj4lBBLzvPEs6dwbLr47qted+HH2gtPRevXnvyDA3CAi88/mTDYHxlXXLl7547CUuXuTvmcTTH1ikWlKKmWA8bqbfxoiQ98ocjX7hxlTVkwXo6oeIKCq/vwNKgFlqnB7dg6aru2ZmFcW1dBPTem6AWUC3rDWiq0eXq/oLEoiA2VbITIyhp9dFr6OG3mFT3VXS4lJtWCD/LdWZoi6Z/rY/Q8V3pRvNdKFkY6egdhjB/EOZotuSgMMDSvkUVjkSTfIkr2GwlzpCSsRJqI/PP1SWA10PsGgfVF85ihSsSp67vc8Yhipq1N9LUJPUSxviCjdPVJI3fCmwcRBKHWogShIAxFNhT4qhfMEDHFn33G5tiiS70Us9iI2HPIYGauQnWoxqtfeenSqSdfvPvxp49GZ2773oD7ewpwAMP0ePTx6GuTEy/61bf9aPGDd99749D2Z9qMD7lMDncYG5rjticirrtvgrGixWQ1olbUjlieo9kRyxCYpsQ0ZaJhSdkUbR6U0owFN0wA3qVcbINos+eoTRBZ2piefs0zCR7iZNxhutGUK2zQBiN3vmLZ04cngE5ulqFyJvr6cdp8oZTm8cNIEAQ6ggWhylVXkzRHJWV5I8ZQqW+gdoZNgR0L/TuZ398KFczeZjLHmgi1bNxh5oSVUH6WIdk60UGKNrOdEnbyXsnpX+I47lWMlW6aiGJNKfqBoGMqur6g62suPVYSw1C86vxpbrx/jtseHaPqmUwMR1SLLWZbHmdses3sFZdf8JvCaH1tz0HvewnJ7y3AhRgFYGlp/lPnnf8Cc8f+zgeGp+4d3bp2hmplhvt3+Xz4mlHqtsv6oZihiqRaNCgWtJ+KaciszK1FWuBYadROI7cuFBXdgKLnU/Q6DFcb3Lsj5mv3VOhKh1qiXRm0iUCl3LKmUgTJ6Jl8Ltv3hvRNZEY/ImNO8ptKy1C6dc5M7mViS5fepMI09eMn9ypm5mPMZDqEXgEURiwwDUVsJJs3I870CEIoRNRLYeIYbRNhqF6KpfrZkkwrnzc5TSO4IvEslMhYEcYGQWgSRtoi7erb5rhju4tlmAgRZ6xPD9gxKk6N+HVUN8Jk4oPQ+iPPEbR9Cz/Q+frqMcU7r5qn0Znl4NEKzxxyOPvUOm/80fOnquMX/HajFXyqUhn/noL7ew7w9CiXa8zPLX38ja+6Qj6zdurPtj+5b/Smbwpu3z7BwlyBLaMxYzWh05eSmWxmest4EGpAOhYJsHvgLrghBSeg4PkU3Q7VSpND0x0++rUiUwtlHNukZGoFop0oEJP5SxrcadO4TJb+tHKoekBJwd2/3Pd6LGUSvftAbWoPRivxXLRMlRS4YhwrYrjawXLa7JsvMjXlMlZJRGTJKE8z1sA1FRm3JUTq660SYItlkXtwE5HfTObZEilTS8+0AUKmiRtSGHSlRcd0GCp3ecfr5nn2uMeh2SEMoZuTdVqXirySpSYJF0qBTHL1MNIeJ65j0OoYdLomYeShlGD9JPzhTy5xx+NzPLSzyrx6wdTYmlf+bhTFH/dKQ98PKP7HacITHe//wJ/x27++7ZFySU196wHz8jsfCr0jxz02jsSsHpaMDTuMDpmM1gXjQyGrR33WjLVZaGoTRsvUaYnnKgpeRNHT09x05A4oejrvLheX+PgNJv/09XG6osyQJ6jaiqKt9Q+2qaOsIhlbF6dWBfRpuHtUn8jkAEaSLhmGXl0MQy/jGtD6ZqVCsATctqWB7djai7HghBQLPuNDDdrBAtfea3NkuoCThRbVVyxZqbijdeypz2HuIssKUIlOxKRnbJqMjLHMnuGpNPTuuseESFTS9JtSkrYFJ63vMDfvc9djLoGwEULmgJKyPilHrusSliVYbEfs2B/RbMcEYZzM1BGEkQEYCClYOwq2YbFq1cbZo91V77nt4T0ff/klZ36/YPj9ieDpUV/9M/zrDZ/+5AWnrPdd0/r7ux7aU44Cj1VjDhPDkqFqRK0UMDHcJlZLXHefYG6uTtkzE2pKR+6iG2qAuz6eE+C5XQpum1q5wTcfgE9+s06TElVXUrV0JbRgKxwLTKk9qttdaEWCTmJaYxoaWlIIolgl0whS4ZLoA1meHpR9m8okeic5uG1pTtmxdNeK62hRWcHr4rldLMNHRCGNABa7aYtYWnFK7pNcqr+hQnfV6DRB9LjzXFrVa9pIUpJsJUkNTnW09dGDVDtdkyhJi8JkMyiEHh9TLYX81Cta7Ng/zXX3GszKAiCJVawNe5L5PkLoi9tzoFwwWDXuM7lqlm/cU2J6yWaiFtBsR7TaJmFoUiub3LfDoMO2JcPd9OtbhuTnfuqtb/h+QvD7C3CAUJnx5Fj189NLUbhxffAJ1Zpxz9kWMDHSRQpFpeiDnOMvrra49/E6p6+WbFsbYxgS144pehGlQkDJ8ym42l/FsbuUiy3m212+cGuNJ/fXKZctao6iZKusGurZiUYdwaFAcXhJ2/t6pqBoaWSkZpxx3J+i6NQkZ54p6c+9ExqyFzFTpV2MlaQmtqXpN9cKsMwAaYQIFdIJY5qhxA7EQONvr8OmV9BJijSxym6REhnvrPp2x72mYiOh/2xTvwbbDnCskDAyWWgMMb3gINCrXFqCT6dPm0bESWtC3vyiJe7d7jLTlszgEsSSSqQyelMIsM2YyNOvce2o5MpNIWsnjvBXn5+gM+VQbcRwPGBiTu87LjpvTacdj799amHoS561GP87IPVdHd+3FCU9/uXTX6S88WXq83e5O696obfj/FPi1z2571nz/p0m68dg9egcH7hactODI6yrWqwekQzXLIbKiqFKQL3iUy21qZbalAptPLdL0esQqTb/+8seH71hDGEVGfYENSfWUyZcKLmanamUTEZqNmduDbni/KPsPBRwZN4GYfRNOzaT2TFGdi8xDW0jlrI6+nGSlhi91MS2dEudncl748RFN/FjtH2KxQ5TCwHX3eVxeK6IaRvYmTNAzmo43/qWac9zKYqUvXQqR0+aSc+qZSUz3a2kNcwJ8Jwu1VKTw3NN/vrLJfYeKhH6NmFkaDoVMZCu6QvrlPUdotjn4Z0W7cCgoyTtSBImFStD6POgB0ulxqsGZ29uM1xf4JsPlVg9bPHaSxsEYpEuWzub1k385CtfvfSVTfW56LwX/uz3G37ff4AD3H3ztdzxmR9VL7nywp233Dv/1LefKbym2+xaF5zS4eB8k0/fNELNtNk4LhgbshmtS0ZrESO1LqP1JvXqAkVvActtYpptCo7PE3vhrz8/xP6pOrWixVAKbi8Bd8GgXDSplS3GRySnbQy54uwG5580zd07DI4vFrAN7SduGT2A9+4FppXm3BrkVq75wrby+Xc+asdYdoRjRjhOiGMFOHZA0etyfD7kursKHJ4rImwzMQtN2B56Iq38UNnerEmRiaoMKQfAnQqZFFa2B4hw7aRCWWxzeKbJu/6uzm2PjmFFAssQycefB3eagmnFX60cMFTtcvcTBkePSwpGBytuEcYxjchExVL3yRoq0QiZgIFrmawa8nl8b8BS0+OCrQavvGxda+P68Z+58pU/8yWnfji+8hU/958Bve9/ipIem8/4Cd7zvs+qP393+2qhNptFQ/3ds9NT1c/ePIQdOawdgZGqyXDVYKgSM1ztMjbUZKQ+y/UPRlxzd50wkpy+dp4/+tkGj++yePgZD7tkUDJjipaiYEPBFtp835UUPVMXmYoRpqFotl0uOlVw4dYF9h2q0LIdSqkRZNzPhacNCllxJ1/UMVLxv+pFzkTTYZoxlqHv015FU0YIGZP5qKmYIIZuJHANRRAlII/yKkS9PwiTDWUU6bw6TostCaPSJwlObB8yLxQjxjZDPLfDo7slD22vM1yTRFHMUjPCtiSGYSDTC8ZQmKaJbVk4ts1S0+GMrW3O2Brx2G74vZ+aYdtqXdS59h6Pb943CthYRoxrRXrfZBu4dpE1Y/DOq5a4+tYFZjonLTSDjb/y0rfHV0/v/TQjG3/+Pwt2/3kAB/iL//5WLjjpM3z7cPuzI+V1Vuyv/qtV1V3DRneWeslhbMhkfChmrN5lcqTBzNI8n73d4PO3TdBpFBgrwcahAguNKTaubnHK5ph9R6UeEmorrWNxRLZUFl1J0dNlfdPURYk4sLj8jA5fuadDN3IIklJzn2y1TzVIX0qQB3RGDSZRvH9MS2/Gp5TafzFrj48jIqUIlCBIqoDavEcgo7Qwk+TneSOiUBFJpSu1fUq+XhNw1n0jkjzcjOj6Ibc9XiAwbAyp5cRtP6bVDpPIa+gUzDCSVCvCdSzAYscum10HCzheGc+EtSMuw5UOJ69dZNOqw9z40AgH5opYRpRc+DYl10RgY7mbed9vrJmp18L/d2j8yGe//MGJ/1Rw/6cDHOAtb9F9dfPz8580TdO87/573v/hT940Wqv4rJuMqBQjVo02Weos8P4v2Nz+6Agbh0xOXhuzfsLmBdvqzC/5bFzV4bRNMYeOCApWnJTyycCtp02Aa8dJ97b2mVYIXn6hT/GTAYsd1eddnR6ZB6AU/UpBo5//zoCdRu5kWoVppsNrE3AnIv/eEaNUrF1XY0WYtIrpYkzCmiQRPM2HDQlhrBt/o3wUTy/QPpCnem99oTU6MTfc7xEkXURhBH6g6Pgxjh9jd2XSMSWxTAPHMul2TVAmj++xefaQx3jB5P5vjyAii42rfNZP2LzrR2Y456Rj/MmnJjkw62FbIUEMpYJg83oDd/iyqclNl/1OFIWfFHblu0DJDzHA06NWqzG70Pync8+/RLytIf8snr9+9MCxWQyzQK3S4Os3w31PDLNt3GRNXTE+ZDIxbGKZIXEseGy3zcNPeZSLULAVBUfPCfIcI7lpO2fXVjhWOugqocoCsiqcHs6UEzfRy3mlSFWDaW6epiI9cPfuc+mJ0ft7hoiRIsoBPBXBaGBnEVwonaKkvDfkKpICGZJVJM0o1YP02JRY5TozRQ/kqVzBsvTPIgVBrAHeDRQdP8I2JaZpaJ7flDiWietYLDYdztm6xCmbQ/buAz+MOTKtu95jJfADg4u3TfPic+f53I02p7kKx2uwZ2qUN228Yuqk0y7+XQj/SRrPD7jheQQ4wFC1SOh3P/b6l18UHt7f/uudV99fd6xj3PBgzA331jll3Ga8JqgUBLWyRbUElVKAYfjs3G9w8JjHtvFEQ+6KbAiW60pcRxeKHDsteCTDZTNtSq67PD0SdGf8d1JIMQ091C0t8PQDPJk3ZPbmDRlGb95nCjIG/5rSq0egBIECI05ycJHShHnTneS1JKlMGMWYkUhEUAOVzfxbIRVY6b+nYghjXS32k4qx7ys6ZpQUjGQWxV3HYqHhsHmtwSnrOjy1N2apJVhohMwt2limTRAYdHyT114wzfT8PItzdV58+hpqqy+bG1r1gvcsNsxP1Kru8wmx5xfgAKbt0A3an6qMXTJ77mmLm4vF8T9/3wfut2wKXHKqybrJDoeOGziWTaUUUy93aXY63PiwR6VgUnMVJU9S9gyKBZOCZ1B0dYnfsXt8tGVGGGYyd9PouTn16ajpCazSSqaRgDulBe2UMTGTm9UbppWlKEakZ3/m1HzLD93iEMZ6zF6QvYS0ry1f8Ml7nCtCQxGlFg6RIIogP0YwfZrMIkJBHCliFdGJTPykQdsP9K3TjXJSYIk0dJriOTaLjRIvO3eJbz7gM9d0abQiuoFibinm8T2KDeMlLjo94BdfPcOjR64Ihiu133rNyy7YbTn2dZZhP9/wWnlO5n/24VhebLPna699/YUfwTvz117xopdFZ20pxqdtDpj3u0wtKVwHauWQcrHJzY8qHtxZYbwElSKUi5rvrpYMKkVFwVXJmMKBHNnQxvszi4mUU2g1RZ/9Qa50byYUYQ/cKeetxyE6VqgnxlmRHs9i6WnMKcBFsqkcbCVL/lpm8BPG4MeCbiTohPrWDaGb3PsB+CEEQTJfMooJopgwUokEt8eoqPyzJ1g3DRitBog4pBMn0TvSzQdBqHtZ252IpWbIQiNiYQnmGyYLDZuZhRIXbBW8+NwF5jqKhaai240ZrvmUy7N8e3eXfUeH4s2bXxm96vJtvxaMvPIjD+w8/DXLsL/vRZzncjzvETw9SrXzuP3ep/xKZf2ntm6St267sPXmA0f3vO/+OxYZq1iM1mJWjTRpdpf46n0erukyVlbUipJa2WSoalAva3CnFcm0ZG0bEbapR6hEZpePXVegsShRrkp0Kboi2Mu/06pl0s2fFnCSFcGxtYDKcXrFHCuZGJdFbfKWahJybV3pxNl0SluYNEX4sZ4U7GRpR6L7yBvDS4URSCxD68qjRI8dR/16dv372gGpVlG8/TUN/tuHanRDj1YoKEeanoxiTUG2ophmO6btR0SRhZQGjmVR9DyGKmVef9E8dz9W5OBcibFaxDZlcP42H8MucKix5Q9GRjdfjb36wOTwfr9YP/35hlN2/MAAHODyF2wDaB/b89mnxzae9P7Pft6yLz13/L1xd8oYrs9xaG6O//MNj0efHmbTMNSKUCubjNQ0vbhqpEOEz97DHrZh49p6SbesEM/xcd0W19xqcu2dBYJYIOIYPzb6NpkZuI0E3CYZuJ20OpiMRNSDtQJc28e2A2wrQKAIQpMgMImVREQQyZhYSbKp8EL7gTiJoX8MNJO0QQqFa0rKsdKyVPLpSsqs9Ax4gqSymLlRQcbCpFOjTQGvv7TNndvn+NJtDkt+kZqjo76UYJsS2w7Yc0zBooEfKISwsS2DomdzfK7EeVta/OHPHOMfvxpzbKHIwakKE6tfEF18XvVPXvfeU97fUfujP3jXi59vCC07fqAAnh7jm97K567+QvS2H//5Pzx2bNY8uPf2d990x63OV+4Y5vEjDkVbUHYjqiWDoZrJWF2xbqJFrTLHx29QHDpicvHpDiVPd287dojrtLj2TsHv/MM4M4sWa4Y7zDQlXb9C1xE5BkIgkxK9ZWoLBNfS9mKpeMrNXLl8XMen5HUQos1iWzM8rlUgjF3C0CAyQ6SMiWMDVKIDFia2lFQSe7puJIjwWVNYJFIw3SwwG7rJKO68D53Wc6fVRstUOKGeJx9FqQiKTDTl2gFCdjkypxitmvzZOxaJY8l1966mGVgMxTGGFFTKFped3WHP7AKf+kaNMLIwZIBtScoFk+GqRavrcf7mLuM/4fPgrgojYy/sXv6Sy/6yXBn6wztv/zKXXv6m5xs2Kx4/kAAH+PE3v4WFhQaVSvu9o8Mvkkvxmhea8gY5sqPzwu27pk2EwUjVYmIYJka6rB2f5+o7u3zrwVHOXW/i+zoHtc2IarHD9fcpfv+TEyz4NbZt8PnAO6a45rYWX7jdoh0W9EAndP5tSs0J21lzc9pkkc771MIl19GadCEbfOk2yT9+Y5goNvnZlwsu2lbANAQFp4spI+LIBBWgjQcNCiZU7JiSrbt/zjmtyS+86jiKkI9eX+Azt4wx75eSdCZOcvkkkqPTD8sQOHaso3jSlQM6gjtWiJBtPnerzZduG+Z9PxezfkzxBz/dIBTTfOv+SSZK+vcdS9DulnjVOYscmZnlK7eM4VoxphFQ9Cw2TCqm53ya/upwx7Or7nnbG18aK/vke47MRO9tNRsU/o1BUM/n8QMLcIBqNTtxv3vTDddy4dnnlU/auvR/7n9iz1t275qRG1b5bF3rM1T1Weo2uHN7jfGyRa2U9HUailIh4Ph8h3/8RoWlRo1zJgWnbiiwpj7Bb755iiMLc9z+iEtUEbnoKLKxiAUnUTR6ASVP60psS+fcjhVQcNvc/Ijijz8xxmxjmMma4PaHDEqWZO1YF1UBywqJYiMxR9TpScGEiqPHoa8ekbzktBJVbxXjw7P8wU8tcGja4IaHbBrSRSIJY0U3hiBWKKUZGsuMcYKYIFBZmqKU7rGslLrc/rjgzz+3CosKDz6h6LQCtq6f4hdf3eDbu5ssdIpMhgo/iJlbNJiaq3Ppqcf55n1NDs0Vafk+QRSzdV2Btjojtounf/HU00Z+cfvO2aWXXVl7vuHxnI4faIDnjytf+Xr2HdizdErB/fWxVZt37Vn/6OkF++gbnti7g3NPMrntSZfjxwucskoyVLUoeeDYEUOVNjc+DPumyqytCdaOCNaMWhw8VmXbhjbnb+lyx6MhUWwmpjVpagKuE1PwIkrFgGq5w2i1SanQpt018UMDy4iZXYr4/C0lji/U2DQu2DQUM1kzWVgyqRYVrhNSdE3iyMg2mobUGhTPVpQLgnLR5MisR+WwQRApNq0OeNtLmjzyTIeZjkM3FjR8CP2YkisYL+uobpl6b+A7cc5LUFdeIeCBZzwC32PbhOLgUYdq0aJUrLFm2OeCrQ1uvq9AJ4BmO2JmweDAMY+TNpR45QUtbnuwwPpVTdat3UbXmLjm7DNO316ujf9NEHSX1q3d+nzD4TkfPzQAB1i/dhPAtFK7fv+i8169/ua7n8FdWPOGpw8/wE33wmTF4JT1FpNjMXEsKHohQdxhx0EHGTuMlRWVoollSvxQEkcW553SZMMaH79hJQIqkdhU6HHkpUJArdRm1cgcTx3ssOuoxflbYgqWi23GHJ+X3L69SMEzqDoxBVdTjGEE3UASBIZ2ak3c7VVSHbVkT2pqGoI4gmbbpNlyWGp6vPC0NuO1kMYxPQjAKna4eNsczxyxeXJ/FZA4pt4bdPwYP4nicQy2qdh1SPDwkx42unHEDxULDZOZeY9yocApazvc9pBPo2sThoq9hwO6vknRK3Hp6Q38wOSNV17O6vWbrzm4dM5vTrUW95108prnGwLf9fFDBfD0EGILu56d3bdhzTnvWTNc+9TM/LrfeFV79+XN2WdZOznFoWlwzArVos9TByPueaJM2ZLUSuC5EsvSjANCsmokpl6KmWpotaBl6iYJ7YYbUS11GRta4NG9Hf70M8PMzJb5yZfAhScL1k0uEMctpGFgmxLPihLxklYh9s+XTJkakVUYM6s2pSuMfiDoBgZ+YBGEEiUkNVuxaURxzsk2P/lyk6nFBf7k8xE7dg/jmYKCo+h046Roo22PETC/JDkybUJi6BmEMa22wdySxVi7yEWntLnx4TbzMw6VosT0Ouw8oBgdHuWyF57F20/beLti/G+2nrTusa0q2CfkDx+44YcU4ABbNgwB7Gp31a4Nku2NJTk5OXrGP2x/+rEtD9z1uPH6F7aolKe45l7BvoMep62CckFrVcxkum8UC7qBnlhgZeCWODZ4bky5GDBSa7Jjf5c/+MQwhw4PccqEYHbO4fhcxGi9TRwbSNmLyJaZOl71Ztv0me+gljUOx7HSbquhxA8M3YiQTL0oOYrxKoyWXKbnRjhpLfzPn5rjvZ8wOXCwTiXxXO/6MX5g4geSMDQQQmJaug9Tos1JW11YbJgcmy2wbYPFZWcs8clv2BxbKPDmCxQXnHNWtGbNubu8YvhLp5958RHgabFyGfaH5vihBXh6eI4AeLrTnHs6iqJXzHWM1X/w7gu/uGP7TZVr7oyKh6fajFcMJuq6CaJW1pRg15csNg2uf8Dlqf0WJ48qrMTk03PIordpNrj52xZPPVvj1HGYHBIU3XQSQtqwK5OmA3JdQLk2tqSCitCt82Gs8COdxoSJU5R2ExAEocwAntoWCwGtDhyZdih5VU5Z2+GlZy/yDweKzLUsqkWdpnSTKL7YNDl5neLKi3xuukvhWAYIwUIjougZHJ52qVfKTFRavOO1NmOjq5vnvODli4bsvsn0Nh+S0tz3ww7s9PihB3h6uMU6Sql9l100fMD3F0+zjJe94LzzXvKPk489FW6Y3D1UsvaXZ+YKrJ9Y4OkDCkGFdZOS+SULERmUXDJXLc9RlL2QoUqT/dM+X79vgrprMFSKKXoSx9HNuobQgipTioSXToz6TYFtJJ01VojndLGcLrERI1VIHPg0ApdOIPGDXrk8CBKAhwaRMnRzg9Icd8ePabRN5hZtFhplXnPhNDffv8jB40OMlKGbpCndQNJom5jSplbSrgLDNZNiscMzByKq5SJH5wIwNy2ddtrG2drwqabryHeU6hvuHR2qLvghsWP91wA3/IBoUb5XR9LqFS8tdOdWT677Zr1aPekTn/3K5p/+yR//E2Po0ieGRscfnWq5nQd3ObTaEVEU4tgwXjGpFoTe8JmaW65VOjS6LT50TZlj0yVWVWOKru49dCywLN1MYFsRlqGrkqYJVnKROLbCsyNKBR8hW9z2sOLhJxzOOb3FFedPEdFloSvoJIKnIFBabxIKglAb8ahAJZZoWt7a7ggabZOpuQITtQK/9IYF7GKH2YagG8SEIXQDwULD4uhMhW7bQKoA21Jc+YKYM7eZnbHR4Uff+iNnPPGSl//Yn9x9+7WbXa920vDwhm8GnWBOCPFfCtzwXyiC54+RsTHQOqbWvoPPYlvmnyPMPz/t9C2GWzjzI0YpOGnYOnjpVDM09h9pc/5WiWsGdENBGOoOoHqlwS3b4fp7RlhfF1Q8hWdLbFNoes6KMM2Aw8cFfmBStRS2IbDN1EtReyd6bosv3Qnv/9Ratk5I/vT/mWXL5BL/89OCr94xQbOrwekHMX5g4AeSbqAlv6tHAp7cB91AEQQ6Qrc6Bosti8Vmiddc2OWmhxe442GHtm9gW3rc9uGpiHa3zOnrfQ4fL7Bx4+Zow+bxO626/XSj0X6nZTYj23H5uV96v1q9elPr+f68vp/Hf0mA54/1azZAT2QXzs4t/uI5Z7p1FR770zvu/rodiOPRa17EuYsted41ty8iZ9ucIzvctcPnszcNc9K4iWNA0dMGQGGiyS4XA4pek7u2m0wvWkyMgZ1ZP2uAFzyfPUe6/M2Xhyi6FTZMSJ59tsx4cY7feMMUj+9tsDRTpusrun5Mx9cpRrtrsHoMLjyjyQNP11jsWERK69LDSLDUNFlqWew6OMxbL2/R6cyzMFOm6EasnzTYeXiSgwvyodO3mQ+/8PzNxhWXvcbftG7k9yZb3blSufp8fyT/qcd/eYAPHkP1CsAc8CsAc4e/gGGoyw8f915+PI7fNFbobKuPzvHxf3mS8aLNORva3PdUyHDFYv2qFkdnPOLYoegtsf8YnL3ZYLweY0oDx5IUPN0HalkKUwZ84wGLwC9x1mrFUFEyt2ix+2CNUzZ2eNWFDf7lujJBCK1OTKsT0/EFUWRwdNbm0acNNo37NLpgSBPHCXj6QJeJIUnRbfH47hKnbBzmnW9Y5LEDZ3PmljJb1sVP+aXRL8531I07F7j9F376Vc/3KX9ej//rAD541Fe9BeD2fUfmbv/xq7jDM8PNx6enYimm41dfPrJxzfr674jiQc7daLNm+DE++bVFwrDIndsj9h2a4MqL2kxWY7xYu1xVixG1cofZBYsNqyIWWg6TZYPJYYOCZ9JoCQ5POYzW6lS9OQQh9arNfCvGWwqZGLJotkwagcfMgssbXqh48kCDji+BLrunS2zauBmvssDGbZtpdtvv3za0Z++2sy+VxeKYrJbl7rWb+aa0Rp7vU/sDcfxfD/D0WD9ZB/hm+rUKj4Bh1/YfOHrP6ccstqyVwcjI6ne99rXOlWtHBNNLXZrtJ9ix7yBjFQ9ig1hYFL2AgnuYHbvHMGzJwpxky7hipBYyUg3Zc1jSDSSGdCgZBidNthmpSZ6dbjFSHaZeM4mFj4oqXHJaQL22hp+95AyaTZd1ExEjm9RNjor+ujrUtlZtORPbW3t7HHfn16wdfb5P4Q/k8f8D/ASHMCcB5oGvAkxNH0YIdp5diMcrnopX+z7HDuzj6QM2nm0TKsFCIwrOPue8/2GKoddu7JQD21WcfrLB+jEDywyZGA7xPZfJuna/XTu+iVdIhW1YFEZCa9Xw2NeL3rf/h2EqSymL9WM+kaiwefPZGNKiWlRyYp15TMDeVROTz/cp+qE4/mtxQs/zcWjvHSDkeGNhZ3X3flcJU/DsEZP144owCpkcDrjv6QKrhiMIFWvGYd8xhYglxxaVWLdq3YJS6tjrXnXZ8/1W/ssc/x9G8PSmuteLlwAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNjo0NjoyNyswMDowMERPIQQAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTY6NDY6MjcrMDA6MDA1Epm4AAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 8}
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mf_hecke_traces • Show schema
Hide schema
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id: 49826743
{'hecke_orbit_code': 31525334964764721, 'n': 1, 'trace_an': 16}
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id: 49826744
{'hecke_orbit_code': 31525334964764721, 'n': 2, 'trace_an': -30}
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id: 49826745
{'hecke_orbit_code': 31525334964764721, 'n': 3, 'trace_an': 0}
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id: 49826746
{'hecke_orbit_code': 31525334964764721, 'n': 4, 'trace_an': -458}
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id: 49826747
{'hecke_orbit_code': 31525334964764721, 'n': 5, 'trace_an': 0}
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id: 49826748
{'hecke_orbit_code': 31525334964764721, 'n': 6, 'trace_an': 0}
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id: 49826749
{'hecke_orbit_code': 31525334964764721, 'n': 7, 'trace_an': 0}
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id: 49826750
{'hecke_orbit_code': 31525334964764721, 'n': 8, 'trace_an': 8580}
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