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mf_newforms • Show schema
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{'Nk2': 1458, 'analytic_conductor': 7.33281498110029, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, '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': [18, 6, [11], [5]], 'cm_discs': [], 'conrey_index': 5, 'dim': 16, 'field_disc': 12747010692347871233376826044264831707800323420585984, 'field_disc_factorization': [[2, 28], [3, 8], [409, 2], [599, 2], [6481, 2], [28657, 2], [1869719, 2]], 'field_poly': [190324219382219227329, -9280833855293027160, 9443577280676906808, -326820812596206264, 166750774096111110, -4023749554164360, 1366797007396500, -21964587980304, 5575009041895, -56032421816, 11330952892, -67991120, 11414542, -38192, 5476, -8, 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': 206309425170, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 8423789045905096704, 'hecke_ring_index_factorization': [[2, 28], [3, 22]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 4, -1, 6, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '18.9.d.a', 'level': 18, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '18.9.d.a', 'prim_orbit_index': 4, 'qexp_display': 'q+\\beta _{4}q^{2}+(7+2\\beta _{1}+\\beta _{3}+\\beta _{4})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '8.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '18.9.d', 'trace_display': [0, 126, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 1458, 'analytic_conductor': 7.33281498110029, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 6, 'char_parity': -1, 'char_values': [18, 6, [11], [5]], 'conrey_index': 5, 'cusp_dim': 44, 'dim': 16, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 206309425170, 'hecke_orbit_dims': [16], 'label': '18.9.d', 'level': 18, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 52, 'mf_new_dim': 16, 'num_forms': 1, 'prim_orbit_index': 4, 'relative_dim': 8, 'sturm_bound': 27, 'trace_bound': 0, 'trace_display': [0, 126, -882, -1846], 'traces': [16, 0, 126, 1024, -882, 384, -1846, 0, -28662, 0, 45756, 5376, -3370, -94464, 128754, -131072, 0, -236544, 362180, -112896, -299166, -61824, 1311138, -147456, 963394, 0, 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mf_twists_cc • Show schema
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id: 2264667
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206309425170, 'source_is_minimal': True, 'source_label': '18.9.d.a.11.1', 'source_level': 18, 'target_conrey_index': 11, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206309425170, 'target_is_minimal': True, 'target_label': '18.9.d.a.11.1', 'target_level': 18, 'twist_class_label': '18.9.d.a.5.1', 'twist_class_level': 18, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 9}
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id: 2264668
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206309425170, 'source_is_minimal': True, 'source_label': '18.9.d.a.11.1', 'source_level': 18, 'target_conrey_index': 35, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 206309425206, 'target_is_minimal': False, 'target_label': '54.9.d.a.35.8', 'target_level': 54, 'twist_class_label': '18.9.d.a.5.1', 'twist_class_level': 18, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 9}
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id: 2264669
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206309425170, 'source_is_minimal': True, 'source_label': '18.9.d.a.11.1', 'source_level': 18, 'target_conrey_index': 65, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4504699289993360, 'target_is_minimal': False, 'target_label': '144.9.q.b.65.8', 'target_level': 144, 'twist_class_label': '18.9.d.a.5.1', 'twist_class_level': 18, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 9}
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id: 2264670
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206309425170, 'source_is_minimal': True, 'source_label': '18.9.d.a.11.1', 'source_level': 18, 'target_conrey_index': 161, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007268125212834, 'target_is_minimal': False, 'target_label': '162.9.b.c.161.7', 'target_level': 162, 'twist_class_label': '18.9.d.a.5.1', 'twist_class_level': 18, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 9}
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id: 2264671
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206309425170, 'source_is_minimal': True, 'source_label': '18.9.d.a.11.1', 'source_level': 18, 'target_conrey_index': 17, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 206309425206, 'target_is_minimal': False, 'target_label': '54.9.d.a.17.8', 'target_level': 54, 'twist_class_label': '18.9.d.a.5.1', 'twist_class_level': 18, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 9}
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id: 2264672
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206309425170, 'source_is_minimal': True, 'source_label': '18.9.d.a.11.1', 'source_level': 18, 'target_conrey_index': 5, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206309425170, 'target_is_minimal': True, 'target_label': '18.9.d.a.5.1', 'target_level': 18, 'twist_class_label': '18.9.d.a.5.1', 'twist_class_level': 18, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 9}
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id: 2264673
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206309425170, 'source_is_minimal': True, 'source_label': '18.9.d.a.11.1', 'source_level': 18, 'target_conrey_index': 161, 'target_dim': 16, 'target_embedding_index': 10, 'target_hecke_orbit_code': 9007268125212834, 'target_is_minimal': False, 'target_label': '162.9.b.c.161.10', 'target_level': 162, 'twist_class_label': '18.9.d.a.5.1', 'twist_class_level': 18, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 9}
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id: 2264674
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206309425170, 'source_is_minimal': True, 'source_label': '18.9.d.a.11.1', 'source_level': 18, 'target_conrey_index': 305, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9008298917364144, 'target_is_minimal': False, 'target_label': '432.9.q.c.305.7', 'target_level': 432, 'twist_class_label': '18.9.d.a.5.1', 'twist_class_level': 18, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 9}
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id: 2264675
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206309425170, 'source_is_minimal': True, 'source_label': '18.9.d.a.11.1', 'source_level': 18, 'target_conrey_index': 113, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4504699289993360, 'target_is_minimal': False, 'target_label': '144.9.q.b.113.8', 'target_level': 144, 'twist_class_label': '18.9.d.a.5.1', 'twist_class_level': 18, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 9}
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id: 2264676
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 206309425170, 'source_is_minimal': True, 'source_label': '18.9.d.a.11.1', 'source_level': 18, 'target_conrey_index': 17, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9008298917364144, 'target_is_minimal': False, 'target_label': '432.9.q.c.17.7', 'target_level': 432, 'twist_class_label': '18.9.d.a.5.1', 'twist_class_level': 18, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 9}
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mf_hecke_charpolys • Show schema
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id: 71075
{'charpoly_factorization': [[[16384, 0, -128, 0, 1], 4]], 'hecke_orbit_code': 206309425170, 'p': 2}
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id: 71076
{'charpoly_factorization': [[[3433683820292512484657849089281, -65941801761447427688902451646, 1776318920878873922147186109, -25160896550791267000109550, 425622456743888625424974, -5582980586500015131522, 77889439683222704739, -964242115640709138, 12266093671542306, -146965724072658, 1809416324259, -19767693762, 229691214, -2069550, 22269, -126, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 3}
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id: 71077
{'charpoly_factorization': [[[1925816581230580779635021524177577006250000, 61506542994323224682437845753754676250000, 760757888922018122732584619239381687500, 3384179244626140879556815857844237500, -3605758934922828268763506791091875, -57723978276847160230646365328250, 75340452287424478779334326825, 596779397583472942045309170, 366973426246918137348366, -1400197116338499695130, -984669738683922567, 2364572734738830, 2254411584990, -1688626926, -1655235, 882, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 5}
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id: 71078
{'charpoly_factorization': [[[1536278834767969750641907821446785336722822306250000, -11247979443948073459915810459548842563839856250000, 67273988689935376047630630802281609509131777500, -111505420521187038499039672340158896404402500, 158699495231289801571552499907333209029109, -91297004728529112066381594921722946378, 72682717345795683114237618228825049, -23399462970153350290419302312954, 20993084493357613343780656170, -4250786279304470346249578, 3436909012026831202309, -217157929707661614, 372865959826250, -3996335398, 25945389, 1846, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 7}
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id: 71079
{'charpoly_factorization': [[[52504428100410331772889568743246474047797514791179845153661561249, 31582345291762930873407031152276333440531644015498665103751412, 5698383489284479727977100137810678231568862651372346253616, -381400490597945486425130252513297558859759070984147968, -173236512211129734847420707841098493470508816231998, 3379904901858772571344872135065697434920892676, 3424906322323558289786611885127589532868256, -56461772681911925762701106758738532508, -33980244715454104698400241530425981, 943675487457871803197344382484, 233120154692355595841577888, -14267295536309831230380, -152733803440719582, 27097915550976, 105644016, -45756, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 11}
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id: 71080
{'charpoly_factorization': [[[2264884652627157181592290374413647364759454497404093052272999405916416, 593154196921247102855652659215097690158668118158714519396104866432, 119377673674814827801248796481445771707790175652229854942210736, 12786737885921888042237617361622276908411530612166155401128, 1183052690514734162900621278189742634165805615026189857, 63545949596284754840847833629005151247965505896458, 4126115755850648578897551269806389461562745861, 149724615671186032952474654151726599194390, 10603073828668892806170102484521274698, 192579210226534416054101429228626, 12010433067623176387601622733, 69642298876716230120730, 10367281565863608170, 18790214326286, 3740498037, 3370, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 13}
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id: 71081
{'charpoly_factorization': [[[12363141322344911763961329535685781642223851437777797969732099129988874240000, 0, 52508104011538750389448043013694648220795876223187587225778008883200, 0, 82673035752425301325596751359382255312001278209013676718336, 0, 63048421663272491818531131959933547232723727619840, 0, 25677063591492248656815242913915789265248, 0, 5755807063131450217594099638480, 0, 697026343864095491913, 0, 42263005590, 0, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 17}
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id: 71082
{'charpoly_factorization': [[[-1179205742652430911772575432222764066240, 153589720473608278663188970109763776, 312541634708556474200317602544, -56310490080207175670467072, 154443182869633342588, 5862540076416236, -26946353843, -181090, 1], 2]], 'hecke_orbit_code': 206309425170, 'p': 19}
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id: 71083
{'charpoly_factorization': [[[1295769475029405006378862093768183873814864264426679437620531960449460909044013182849024, -8728252042647909000134549075215456145742288361018639068585551189870682645463987200, -135376440298448022281457495555892299327534992538094597991192854663640724515520, 1043899830145289568263862983563854504482142366677638416377135060923806000, 14562764720376892745435816716296162959552573778138990984046362049113, -159603262981754097600741285210284012897893195627072268227843710, 426883246145139151551377905024316272092705430796856676893, 758277639019215824756842463981066630153154058648482, -4826884211261701134579442450580284592084120922, -3141629621909599696513472649724845394230, 49464475791567938010367640642666817, -59664609599863295289203190522, -137851648820303632065594, 283877869247668350, 356515039773, -1311138, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 23}
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id: 71084
{'charpoly_factorization': [[[731337190520015566829246057264447147124524452868256805790018753864782778802350925207062250000, -3856161093088594882976265946606656440437458479092359037063037975151339816861003185670000, 201599847735037023316178922027416678189924425494258621478963857058348817033676300, 34673259889317779752893923584629006828041260853375459925375844429332525836220, -22129824960218584622620898472526327477363216986164130615976161375355779, -233613702779756176229857338435092415321810605028832373345722123746, 340634380994233261245413726055039013718422218804435391706937, 632947131450076017327468492547018571288985949284113130, -1155013522686477205266610141386144234809684959458, -1378095172836080088444091665765026022690210, 2515987226313474535161177080036245785, 2321850551770960018101890931222, -2802922202288126050166034, -3023340904308585510, 1649610128781, 2851290, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 29}
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id: 71085
{'charpoly_factorization': [[[201240342584238472067154923566064015550441629371762507271905605419681336430648075550606336000000, 326945874090335483400061899892113795588297178049692295243779380797708451648512649610240000, 2440453748010610136312076733776766154625437086522138340633074858499691888118791993600, -1000138394871816547529700254399947409822765047462976748745535930836333224136480, 16483095461236443631580020516901084292634678066279824840691447128436326689, 50500196849315560220581229173951658854158596884127440763295229506, 31428884862405789236053444532106290787056611461721148387659129, -3494465920959983355677898886708288857441740125013927618, 38949999008562367747636640807375008042665751663734, -3629498435561108265188932125978457531286366, 29557238108104923766293023358361126597, -4017118059378792221185723442022, 15868590792537672365111366, -1583998952896074874, 5004693025929, -542438, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 31}
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id: 71086
{'charpoly_factorization': [[[-17635410061663224546496265973327628675872073849856, 123681374609497739336242384014625353959254016, -68646599093200547633401531254618573056, -108002987377621466818623421248256, 69032533577528100386587600, 25033293880605323264, -16415482431224, -1671664, 1], 2]], 'hecke_orbit_code': 206309425170, 'p': 37}
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id: 71087
{'charpoly_factorization': [[[2499915648655206224090211753777235201661591569944689534103065356465699385815463002161179433021890625, -54797916925757640365248134495798883724481347901517689624201484401231101005057745752523896320000, 443190506580745200412325259998221386712166118843840442099625474312127428437788421811729700, -938218111833834221704402698820416614384253607320301296009530192761207908086334996480, 856883967731103997716050409091655055267639813072106844962045274785670964355434, -272510507236914382975312752780683654827066902682315559270868415740875328, -100623683271245306333809483789678958521181840597624771173994498160, 64035777199333737117110185733417990958871386034124286667104, 53844599782466356009105285731317621896754121618240627, -64933978579751048026590605337131069789102311680, 26671527618694354306044047800823357118096, -4294324891814611996710140162065632, -280896078845125333565915094, 155565072335482858368, 11452334960484, -9218592, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 41}
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id: 71088
{'charpoly_factorization': [[[239380660594682331075840123383731274184750576411612934679532314066091966474394303950839203776119314225, 160664975743668750741722996538236858454077707240790074113539060787929549636996626409325048527920, 396662855131348756232661574462906323490903284711726808239900315648593784754136452887048144, 58155427238356369759682799188902515523669088849321570321386005758536035112605628496, 305013983348831475085727858680514079293891403724249138378866770214179199649178, 2310037116424475113913969642342248244484763056886016542563305521727760, 166863635494109696734888469532580074412118519994064529003281489120, -27204857842273679987025554391208553066976866251849925517416, 55868280856759599941349648494185680965314656931883499, -8191104409518638936139766051502311708781246960, 11238121520305753522068405764121615418720, -1889234900440810921248392563501896, 1349297671678657092043973354, -77032142204030949280, 40060681104096, -339512, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 43}
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id: 71089
{'charpoly_factorization': [[[18149356891482873079974774198287997279306963372786894747944322766940536143657278490569284617519460978944, 138952817194713530863220776579141322607177876104024300024963229132999500665396411375153651965247104, 452565003448377873176905863007633264674742769608658996476441490717725097656403464677500696304, 749943000346484842323110813317794549769342253486790324779338348316764738601405534137656, 735183593505853298274698148331856098889296988720740458372806715041431868900103897, 457277634250589938520844336013040181573532848178506741050066833723444124994, 184631508018779264908804290626486764681717253413466431903339731025821, 46840045929627846504974208065018975822082925330438322823015210, 6357230216078558639780691346984437503820090912514145334, 162312154463561571948306384124155216816106292586, 18627058913903360398876114120536371732049, 63292308677060128858823560460694990, 24638901088106434262799561750, 4798239987328800291198, 545049510177645, 34980606, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 47}
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id: 71090
{'charpoly_factorization': [[[7369886445735800196733340010443141295801949219367084801497583428434126699168715090321219589347737600000000, 0, 15982545253295192315546370832379166347210102965927079797478006074642363112339905173258240000000, 0, 9886892296854402491929248840618558721293217497085434696603807985512716036997120000, 0, 1407047341970744649535235948803604562768894660012993916603721170944000, 0, 86329838108533697369797227187480426069242403463569633536, 0, 2669801895213245140541929328719650508372224, 0, 42992178181742893881643021152, 0, 337987454025744, 0, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 53}
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id: 71091
{'charpoly_factorization': [[[2324367986209712548012939712750278071440588868596104901500728631899285958743809555256652900022294845913056626225, -1891793975525648654255277238871954871595793878126150996071814073805176541330736760519178310997559938528640, 569979091509714344786304753255379531305774875546675665999772710837334766359861204883667413393101952, -46178723451934388369024086981171816886829778558602743493175117442937369306098338392436948992, -10701440673857730313152254563862741309925132069864039349116698888879453021519362107366, 1596800376254823315601438593554539967783009492841339214445388450884102201089920, 385492614434727380169318704077291880717380732631246804914122546899994720, -117489430526974677538157280916886007958040196480076233818559127992, 9819016804804302267641791390512285363557085128123998509291, 166031663987382698260245491693394253779733531224192, -61953395536762951091716010523394223137170720, -1474527489736848141419404779911602392, 893939426480144252027159639658, -82615418024415725985408, 3820182684845040, -93924216, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 59}
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id: 71092
{'charpoly_factorization': [[[112792017472756923372172454208075076832593274579644868389720474949319726759790159927725726209873106320978415616, -182253865506248168120727434613824398681317418420842890201340734797576044334764914347301857195362045326336, 284543534451186188412694712007944782529374701091969023640417124406936506912104447006876410985914048, -45128743926351955987616068862576702186375938979354341703893815034930219879333690483513382992, 22990648932903618663078911118973755602009297358537062441665134994402884151403173288097, 5626720214786557234686749383148885939267643610499165547173688526611655565983266, 1663034038392638019663751539798482620529440177255978857860396661402241765, 195010902966989490575717974693584226587055004598501435937221613942, 22793445982889988463955142778881073876447701144307246237674, 1365789105876519914578666510874371398026715546128362, 108808351786022866896543333490773769461768685, 4142207432682202784664488735485426266, 371134325847977439174541771562, 7902472417023964671878, 704612088455013, 841954, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 61}
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id: 71093
{'charpoly_factorization': [[[6337226655332939286786233114167375689377366382963293424836688877292415095420653341620007797125532146647817584583137025, -1167386821953845809187066011127958508094382811216521574353484681941645125666083231840477135483429129229351704460, 193192064316142851278833669726053678584262423679981997005164204018737330912587780850712190020101326663824, -13673783452134626939990897546503492677361260597471482637932826761181728086540044608871573354688648, 1107557187531045186200141908602653821328496758084326493348042483641192040795204097914182514, -42426558229571864626943188549213055143845238581085605099088158561490050810712270548, 3428183148983208025851013871368201561175885369045309014119415989138491828704, -101000378413345797995806461416725238244708366910649179595596437752732, 6466508020908010646602388363629225488173326739689783877909235, -140531696879973581057652844487000611771710429574821188, 8165388885343266326145665696195605361890400224, -146703165858766480996442587134938853132, 6781818425797790225827682679410, -80194502054532228021688, 3399238513244880, -29946644, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 67}
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id: 71094
{'charpoly_factorization': [[[26398024732806016528544967622681377002789030562050730151820905915446455082355900645363883492496168522626465841140465664, 0, 465737487319311316584688963808922069368916810890201939908266666090085164839428974908732521966300651585536, 0, 3356271223521891974281788454292367763669002782904988295379367753251328618439259114421850112, 0, 12709182423878685239667688726451059568954802507224435181767418498856795195392, 0, 27158984405400176114776732517189123569430953998806601278488320, 0, 32953161116504323338360551218068217707501672192, 0, 22037087814197595859508886196848, 0, 7479316397672136, 0, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 71}
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id: 71095
{'charpoly_factorization': [[[79703465673501658976047964160583511492313241627269028768000, -10456508812847919437527097274771190707283720617690880, -1560700851823692138927090085068358510395688448, 32349720220906647124206075005070794432, 4525591523560716468072862030900, -26614583683625802895756, -4147917296390051, 3773882, 1], 2]], 'hecke_orbit_code': 206309425170, 'p': 73}
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id: 71096
{'charpoly_factorization': [[[10706390415105069613004009185120655828103690944638915237577404115095466970110409298889836785597316701560554450121928010000, -1231606531706442994461430974922312385712596666279314932384243727454436205246943119306969724148226303124904569726000, 127174218907793896096113977243974656379935927648666444157308145425900956157042772922185067091826655595169500, -5484369595640722785892200586456987136674321294387302924695223294566267884815346942909458778806600460, 281154563422151375233499379591508954894494230757011860185296540547587653119520713125331967781, -7968357755973176216880397909476591415609288583676488476792700945551721561953161920538, 341514745693934824721595470048421782304676973892647341443211618099103713956649, -7647399809337827743495427555719651361424495377137486121612436874266530, 269058496585493851782997069581589960253221982297132121699541770, -4263067155052482171625186557551749762905380406541559642, 135556583532066770420897268404345889558664228741, -1630807560827312403634805500358387104278, 46499496220230488283536128132010, -301350643189545492116950, 8228321342732349, -33813002, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 79}
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id: 71097
{'charpoly_factorization': [[[277762120519468213650143405232648974283483230859410248735414266801798713242064438783983440330572788715040717112157462784, 175442610393315595947081703456509085219568003102024550762890320590652306677387257046676180565316706409763813800064, 35423708987394024706974983708116133605363453807615325331838641526293427493414400441510745025013775193360496, -956604979536142340891486280171106768898424658949497506992720737609940210247002571001178377422253992, -82445478350536207049794862695861669056403349823275434708087008808350912616689013010447430567, 1971376869810237749012810427559359817179758347300452727252777569947547609594964000290, 133126212022759571160711524422435978387673993339631187076647147905422261809917, -3046541026769995018075929874560551261132333408701489386761719070281494, -102346046675431697682841626530230278859239842509623863534179722, 2656320017116831106827903790521802013743526514822610250, 54688540195381508467174700489378593204160702193, -1812595259519303725274994605904350452146, -6087628475975374368087452627754, 526681275462948723592734, -264680433993267, -114200226, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 83}
-
id: 71098
{'charpoly_factorization': [[[233180829044448021593494182531751754301348782876707657147123291969650399351747854681074249712864366457926807715840000, 0, 76384623083268963919128215539562509884656045442588541607586651744297146011162104150581347157165054361600, 0, 5968183904517344214203578068244644918485249437482814229947922506679412979951926463976964096, 0, 105673339337048943306687501420885259042053586217149652115589987358074431700992, 0, 306594372793069907482041977454369072303056024856853787392815360, 0, 258158427723438599416183128596405851319371495680, 0, 94116901422172842569623008163680, 0, 15777982740133008, 0, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 89}
-
id: 71099
{'charpoly_factorization': [[[23034884159069442700860626155939342798278738126894917557466348838612361598754773962964878492914047859038392869153157339680625, 1453311351328373761738430867961189361339080232299518538012061864002205785374433535835009780126713425972499344257663500, 208136012210952114796424995209557399732888687070225141578755307175000327380075039358336390903686189424532463700, -8556212565536570793143773402574230493600950054364395410906735561427191910490867315451922949910858184120, 512676575998598504893148055342789950024780480114949021585205006815267993629535059934753321774866, -8037359326893263969276304081130643959459340354362665482873907687536358706674724445349132, 211826947574939801341529448763325218321520355952009237247449221659303966292816688, -1379134248034242163216363847116916730641679871231402203783719726757821756, 47897159079618417305436694452288074683236139885999672513322240619, -182859607896727049419915240667268969253727761708335593420, 6907291770430810379614440442893921465056918342128, -2345431077574208168709972727214899085628, 639213322363898937341218248881762, 291120194670811729128680, 35649089462728260, 89415484, 1], 1]], 'hecke_orbit_code': 206309425170, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 1, 'label': '18.9.d.a', 'level': 18, 'portrait': 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iYDZicDNq2zbJlV7NnsUFIVTp6p8ezrLvuOxLx2OiJRbd5zV5MH7rCU1CRHTtc5eUFzfiFhLgP3sSXLTVcu8i8+0mDz1BgXFuosNnyWVh0uLknmlhOWmwll32W10eaxfct7lhtn794y2d22rtb9yg//8IfDX//NP/hWQ+LP9fgrzeC9bpvD51tMVt2fP37y5B2PPv5F6dvkjsPnTuoffW+ffmea1Y5DGCmWVzWLq4LlZsJKM2K5mTDXgOPLgumpVf7VDy5z8+Vlzs5PcGGhwoUlzfyyZW4p5txiwkI7pj7R586rO9x6BbiyhKc85ld8Li5p5lYE3QDi2OC7hoqfMD4WY4DTczGtDmxd51ApBVgrQLh0eoYtswHLqxpsKkVWOxDEYLGsNEM2zji0ewqhLMIE1HyHLev7rHYFpy9oEqOZrEmqvsBzII4F3UAytyK5uGyZb8R4Xh+cmNv2drjjSsF0rcRyo8bZeY8LSzC/FDO/EnN+BY4vW27cu8S//sEGs/UaZ+YmmFsusdhwWVqVLK+m52+lFRPFgkZX0Ai7/MC39TFmZzw9HTz9nnd/p9mwedfTQnR+ptlcT71e/lZD5S0ff2UZ/Etf/DRXXnU9P/+v/tnP/cmXvvE/ffqL37js+Lnz227etSTnGgk37G6wcVqQGI2xAmsFFglIQCCERQuLK+HCconnj0mu3rnCFZv7lH1wtMR1FK6rqZQkZUfS7TgcPuXztX0upxcCWnHE4bMB6yZXeO+dDa6+rM2NVzQ5tRSz1BWUvT4nLliarQpX7ZCs9hMOnlJUy5o3TsOuDZZ+mNBPXLSOGK/CobMeSic4MkY70AskN1/RpdeVXH1ZQquXcPpCle2ziko5ZDWwzNS7NDot/uib8MrJhNdO9tm6YZlrdrcYnwh5921tvvsey87ZKklU5+T5MY6fczg7Zzi3EHFuIeH4guDMasS1ly/yr36wzbp6nbNzE8wvl1lcdVluShqthNV2RKuT0O7BSgeOL0nK1RbXXW554XAkb9kzt629dHJ7GCa3KOfq0sTE2Ne//OXP8/GPf+JbDZk3ffyVZPA//MwfcjGYVleMnf9fn3997p/1mxfVweMh+04nOH6bktPif//RBnddVebC4gQrzTIrLZ+VlsNKU9NoQ6OZ0GjFrLRjlppwtiHQpT63X7nC994Tsn2mwmqnxsJKicUVl6WmYKWZSoRG29DqGVqBpduPmaxFbFlnAIHnWM4tOAjpsXVGsX2DZcNMl/lGwKtHq9ywy1IuNXj92ATVSkgYOkyOG3p92LOlzx98s87uzTFBYJkak0RJj6rv8capPiWnwnWXx7x2ImR+2WXjpMf29bBlNkSpiHNL4DoWISxb18WMVyXtnken69DqOqy0FCursNw0rDQTlpoJc01Y7ids2djhe+9d4vYrNL5T4+JSjaWGz9KqZqUlaDQNq+2IRjthtWNZ6cBcR3FxJeb+68/zsz+6giPLuLLOKwenOL2guObK2aQRXfZzf+v9Y//6sefaydvu+9C3GjqXPP5KAXx16UUc1y9F3bNbPvXQ8Q+122f/DdFpZsbG2HfQ5YWDMYcX4EI75vodC/y7n1jh2h0lFlbGWVots9pOQd5oaRotaLYNq+2YRjtmpWWZbwoudCyIDg/c1eTdNxt2rPcJwzKNps9qx6XZVjQ6gnZX0A8sYWxJElDS4jlQ8iz1mmVmIkI7fY5fDNl/zMPEFd51S4h2Vnnp4Bjb1sOXn4+56yqPhWYPXyviJGJiHOLIQTsxy8tl7ry+xZefqbJ9Pbx4NMChzDtvNsSix/7jCSfP+Wjpsm5cM14RlDyB6wqUgNhAGFn6IbS7ltWOod01rHYNyx1LL0nYuqnLu29t8sAdIZgqy6tjLKyUWG46rLQ0jSasthOanZjVDNyNLlxsKxZaCTfumucXf2KBK7f6LDXGOXF+kudfL/HikT6Vao+rrtjMzs2b/3lL7vnj667ccqbT7fXuvXHvtxpKg8dfGYCfPnWKmanN7uGjL/7I3IX9v/LKKwfEIy/2Zc+0uPsqzepKmRPnLfNNy4W25Hwr5ubLFvjFjy5z/WU+S6t1llcrNFoeq22XRluz2hY025ZmJ2G1HdPsGBody0JbcLFpGK93+bYb29x2RczWdYpayaHV9vEcCSjCWGKMwFjo9gFhGK/2OXreYmzIIy9WCLolLtvocvvVXSKzyuP76ly3y+HoXIdmo8atV3f5+kse6yYsB09b/v4HWhw85bFuQvK1fYrb9yhWui1OnJ3gustDHt/fIw7K3LbXZefmPr24w1dfUpAIjp/T1MoaLaDbkxgrSIwligFp0K6h2bFUqhGb1wfcsafLt90QM1nxmV8ZY3m1RKOVnptGS9DsQLMd0+zENDsJza5lpSuZawuW2jG37F7k33x0kWu2+yw26iw1qsyvlDl2TrHYXeXuazv025M8f3jM7Npztb1mz56/t2PzlR9bbFwM91yx81sNKeCvCMCj0MhGs/PeX/v4py+7bie/9NgTLztKKpZXDUfPx3QCy2QFpIB239LoCha6ivPNmNv2LPDzH13khp0uq60xFhtVmh2f1bbLakfTbCuaXWh3LK1uTKuT0OkZml3LYkew2IEoCbhmV4/ZiYRO1/LttwZsmzXEiURLSxjBY6/6nFnwWT8e8/pxH0yZKzYprt9t8PwuLx3tsrhU4cptFWr1Bs+85nDTLp/l7iqNRo3ZWcvzBxV/620dXjio2TTjsNRp0liZ4Po9XZ55PWGiVOfKyzosNJs8f6BOSVe4cbfl8i19kB1ePSmYmYiYX4x4/FWHfqSQEhJj2bY+5NtuDWl3FBvGDdfvgjAsp/Kt6bHacWh1Fc2OpNWBVjdJtXY3odU1rHYtKz3J+Zag2Qu4/fJF/rcfbXDDLo/5lTqrrTKrHZ9210EIy8RYQLenOXKmzNxSjCBi194bozuuif6XnXu+7xiy+iXlSPOtxta3PJN59GyHU3PtH+wsPv/v584fmTijT3HvDeMcO+shhEUI6PQSotgSxRZj0/S8EAlCal44so6f+U3NB25f4cNvW2H7xpC55RqeW6LkuZQ9h0pJ0y5Jqj2HsYqm20/o9BLWBYZeYGn3PVYWfc6dtYSx4fxcjOdZQOAqi5aCbk8hcIi7mmu3CXZusGzZ2CVI2jz8guLQsXHecYPH9Xsa/O7DFleU2baxy2vPKDbWFVO1Lr4qEUYOC22o+JpN6wSvHAq5/vIS91y3xO882MN1qrz9FovjdfnG8yFffq7CgZMldmwos219wvR4yPapiKu2JShl0Cq1Rcuex3TdI4wc2l2X1486dPqabk/R6Us6Pej0LZ1u+t3bvYROz9LqWVZ7sNhVzDcs5bEmP/muRb7z9oCrd5S5uFSj2SnR6np0e5p+KIkiydKqS6sjWVy1LK7CkXOSc6vfdGp6478/Ov/Cytvvu/YfWbvyO0JM/PcLcGt7AD/6pa888/PPPPPQxPGzHboh3Hn1Ev3QITEuQji4rqTXTwhCg5QGKSxSWrRMcKXktaPTvHykwtELC3zgjg537O1Tr9ZYaZaptHxqPZdOV9POLnavr+kGmn5g6YeGMLJEkSVO0iOMXawBqQSOFviuoF4VjFdhdsqwaV2XqfEmX3kJnnjZQZox3nGDw7VXtHnqQETYr3H7tYJmr8fCcoXbLjdM1buUtEc/Viy2IpQRXHu5plwN2HfY5+7rx7j1mjb7DiuwY9yw1+Vvv2eFr78S8rUXKhw847NlWjE7UWK8WmasCiUPHG3J7f+DJwVJIohiQRhDEJF+xyChFxj6gaHbN3QDQ6cHrQAWO5KFNgSmz/3XrfDeO5p8/9sNcVxjbqlCq+PT7rl0eg7dnqIbSHqBoBdImh3L8mrMhcWIMysh77svot28wLHzX5qYrkf//03b79fn5oLf3DTr/fcH8ItzKywuJX/7xPFv/Pzi6adm5uZCen2HN45VeHJ/m72bI1ZaDlEiEUKglcDRCVoJtDIoZdHK4ihDyREsdUt88pub+MbLLe66apWP3L/KVds7TNbLLK+Wafc8uj0nA7ZKj1AQRJIoFsRxutSntVtpUKk1+C6US4aJasTGmS4xHY6ej/ijx31OnK1Q90rctFdz29Utnj/S5JFna9yyy2fL+i5/8E2BEh61asRqJ8BYUAKma11abRcTl3jvXQt88stlds77vPuWLmG0zOP7J4kSn5v3zvDum1rs2tzkG/u6vHa2zKsnXTZNSCZqgrIncJ30JpQChEhXOGPS1S5OLGFkCaL0Ru6H0Auh3Rc0AsFKG4Tuc93uVT7ybavctTdhslai0SrTbJdodz06veFK0A0k3b6gFwg6fUu7E9Ppxiw2BXdf0+O6nQ69XpnFRsDHP/n1mfd8R/zz77r/bTbqN37L8cf/+wD4f/jV3+OnfsDj/IWHf+iN48kv/e6XXpl6+zVL3HTFBOMVQaOj6XZcglDgOYaKn3rcUiqUEiiZpM/KoJXBURZXW0pa0OgrlpvjfOqxCs+93uH2a1b5yNtXuW5nk8mkRBx7dPs+nZ5DL9CEkSKKJXEiSYzAWIHAIoXFcw1lP8ZzQ1wn4PxywIMvSo6dczl5bhxlPHaud9mzXXHDFS2Ut8j+41U21stcuQNmpxustGpctVESG8tXXvAIupJ6JeadN/f50uMRZ+aq7L7M4eJqnzdOOGxeN8412xd56rU2z7whCEKXK7ZPcMVmjys2tTl+cYVj5+GFQ2WOnqhQ1gJPSyqexXdAyjSosja9WeMEwhjCRNAJBK2+oBVBaGKM7XPjrhYf+bYWd12VsH7Co98fY7np0+54dPou3Z6m01d0+ypl7b6kF6R9o91+nK6qkcV3LFWnzOtHfRptzfGzMavdRbqLX5752O+3f2mxpeN/9L994Xe/954F7njb3/5virf/pkHmL//6J1i4eJL65Lbvdznwnyv6ZH3DVMymacH88jgXFkoEkaRSMnhuQhgpuj1JJ5D0+oJeQMpEQUI/MNlrQy+09AJLL4ROKGgHkkYPuiZhcqzPuvEuH7q3yRWbY/o9zZXbLevGFUHkkCSKxEhsDm5pcHTC6XnLyTnBas/whafKnF8qY0OHcV+xYVKzdVazYyNcubONkUv85kNllhfq3HKFx7fd2uSxN1p889kJ7ru2xJWXN/nYV2JkWOeH3h0TyWU+/tAY12ytct9NTb7ycpun903xjhtcbrky4GJziY992UPGFfZuddi+wWH7hoQN013Gam3CpMeFlYgvPOWx3PU4fdHh/JyLowRSSgQCYy2JgchYktgwPhlx9fYuQRBxxeaAD94bMDOmmKi6RJFPq+vT7bl0g3SV6w2AnUsSQb9w/ntBQq+fnvswsniOoOxLgshyYcVwbhU2TAVsnU6488bNq7dfs/PvHjl86BOX772am+74yH8zzP03YfAgtjgKJQhmfv8PP3HPsVPnfuPAoUZ5pVNiy6YmH/2ONpvXCVxt6PadApuaVDIIUEJm8iR71ikQXS1wHYPvWEqRpRxaxvyE8ZKgG0raYYWT5yr84icmwMSIOOaGq7tsnw2JYzDWYG2axJFCIJVAOy6Hz7gcPOZT8TVVVzJVFkxPSmYmNBumFVvXJ+zeukoilvnlz9Y4fabOLZc7XLEtoRe3eXa/R73kMDlmqVdDyqVUChkjafYVKx3LcjOh2Slx55WrvHiwy6EzinrN5+a9dT763mX+0+dg37EKnZ5lta2ZX6kxO1VmZrzP1sk+//h7utTKTV47CYfPShzHopRFCAPY9P8sxDFsm024/aqYJHKIYg9ry/RDh7kll16Qrmj9UA3kWy8U9ANBP0xZOwhTLR+EhiBMySUHdxSnMqjRMXQDwdmmoDLW5oP3N9kxXWNheb5+5KT3G+V1V8QP/OH6T/1fH/9d+5M/8EN/cwDebCxT8ssbLsyd2Rf0TtZmy/Oe2VLl+FnN15/z6EWGf/PDK6yfgmbHpx9qolgRRhIlFUoqtLJondZGO1rgOorAkQShwQvTpbIUGYLIEIaWWgxBZAhiCGNBP5IEiUeU+Bw6VuHVQ5BYSwrtVBs7ElyV1nxUPbhyPdRKMFaRjFcVk3XNzARsmQ1YP71KZFf45c+OcfzEGNfvUOzYJNm5qcGjb8TML49xw3bJeM3guz086WGVIE4kwlriJKTR8Zlfdrj+ihLXXt7mqX0+68YFZb/K9ZcbfvKBZf7j5wxvnK+y2jGsthWLDc1UvcJ4rcR4bYxaOWK6ErH1+hDPiXF0jFIJUqTBhCW9qaJIsbCYntf03CqCKHsOJUEkCUJJP5QEoUgD1FAQhDYFdWQIgvQ8p+8tQQRBZFMZFAv6MSx1JbHt8s8fWOSuKyd5+tUpjp8TnHrpXPn6G5Lf/YV7ErPS2PPZX/+9P05+7Af/62c+/6sD/OTrv4dtPqLOne7c+ewr87WHHz/t/e3399m+XlMveyx2LM8cKHP43DI3XNZESIMbuASBQ6AzYCuLVgqtbVZDItKL4AgCN70RgtAQRZYwTgasMjgSiBNLkhgSQ7pCGAbgFgKUBC3BccDTAt8TlD1JpawYK0vGxwQzEzFbZ7tUK6t89umQx/dPsLpU4+otiq3rHXZt7pOIVb7yQpmKo5keV1TLffYfJ+2432zpBoprdkVcvdMydzFhseHS65d5101tnnytx9HzikpJ4rk1rtph+Nc/tMxjb/T40mNTLLcsW2cSGk1NvaYYqzhUyw6VksX3DJ5r8HSCVqnUkjK9BtaSJqyMIDaSOBHEsSCKJWEsiCJJEKXOSxgJwsgShhBECWFkCAvEEUTFA4JIEMTQiwSrkWSpa7h1T4Nb98QcOlnm5UOC109FWN3j2/RR/9zp8sd7yYkfLpfKn/75//OTyc/8ww//9Qb4uZWGjOfNhy9cWPrV8xcveivdKr/6pYj/8Tsv8O47a2zaEvDSsVXGKn1qlQRrQasSjk5wQgdHGxxH4TgaL1T0nYxtHEnoCsJIpBcnUkQxhJFMHYR4aPvFiSFJUnchsZlTkrklQgikBCUFWgtcLfBcie9JKiVBrWypVw3rJgKmx9vEdpVPPSn52JcnmfF9rt4i2LLeYdsGw9b1DT77rGVlxeeKWcV4DarliPlTkoWGh7s9BcT0mKReh6MnLY2WYW7JZ9c2n7fd0ObBJ3wmq+C5LkrWuWqn4MfevYAjF/jiU+McOO+zrhUxU48ZqyiqJUW5JCl5Gs8FzwGtU1KQIk2ODUBOemMnBpJEECdkQIcoSZk4irKcQ2QI8+fIEEap1AwHwIYgFvQjQScWNCNJKzQk/R69bsjnnzC88EbA/pMOs+ta/L3vXGXMqfPiwUP++o3t3xirzmql9R+S8sxfT4A/9+SXSUzyQ28cfPrfPfjEuVq7Lzkxb1lo1ohNxLtuXKJS7lN2DY+/5rJrU5/xmsVzE1odH0e7ONrBjTSukxA6GjdSBJEkdNJUeso4ImWijJXiGKIEkiR1EoxJAy5jbN7DmYE7BbhSuQ2ZAsT3oOwbqqWYejVmut5janyVpw+FfPyREodP1tk25rBzFjbNumxaB7u3tOjGLZ4/WKOkHKbHFfUq1KsB42MxrqsRIr25eoHLSititWtpdmIWGi5bZqvcesUCj7zQ5fD5GmUvwlEuQoyxc6PiB96+xI27F/j4I1Wef73OckczU4upl2PKvqTkKzxH4DkSx0ljFaXI7MMU5ZY0SWYMA6DHiclWt8xajA1xkoI7jiCM7fCIUlemHwuCWNCLBO1Y0Iqh14sxUZepSot7r+0SRJb62BL339bkHTf2uP86yVKjg+fBcjOszbfkL2/YcIP7x5958GMf+u73/PUD+NkLLYRQP7p4+vd/XoQrk1PlCXqdiPUViyc0z+yf5tFXA4yJ6fctZS9k3xtN3nt3h3uva7NuKqDdLtELPILQwY0dQkfjRam9F7opwKNIEsbpshvFmaedkFl/ZMwtBxnQwZUWZMwNWqUJE9ex+K6h5MdU/ZjxWsD6qRbzzS6/8gWHr7w4wUqjwmXTgi0zgo0zLptmBNs39NHuKp98XHPibIXL10nGq5KxSoKUAecXLZ6WSAHWCsJIs3WmxQsktLqKRssyv1Li8k0+33Vvk09/w+XUvIejI4RwMLZCFEtu2N5g6/e1+Mq+Ln/wlQleOlVh47hgqpJQ8RN8V+A5AteROFqgFWngLMXALrOkN5mxpE5LkgI+B3mcpJIuBTuESVrrEubJo1jQi6EdSzox9EJD3A3ZNNXinusbvP/uLu++KcFzJN2gRZS4xFGFucW0hMIkDqtNh1feWJwMxfIv/eO//0FlbfM3hRj76wPwdquF5zn/wxe//MTPv7Rv/8wtVzS515nhwAmPCwshC6sJ5ZZkoVOhHUDkWVpxwicfLfPYa22uv6LF992fVsFN1j16fY9e4BI6DmHsEEZ6ECjFsSJKJHEsiRJBHEuSRJAYMdTaRjBQJTZlbilAqdR1cJTBdVJrsuTFVEsBU/UOvajHN/Zb/ujRMZ5/vc6463DVRsv6Ccm6SZcN05JN60J2bGzw2qkeX3hymjGlmR4T1CqCWjmi2U348rM+VTctOzAWeoHmvbcHPPRcWhPT7BgWGppNM1U+cEeH5w+1OXjUpeLFKClSkJsy/TDV+j/wtiaXr1/gk4+1eOZAnTONErM1wZhvKbsGXxtcB7QSKJneyCmTQ+4Mm0yqGTNc4eIM6ClBQJQIoiQDdiLox4JuLOgkpDFPGFIpdfned6zw4be3uOHyhHXjDv1+lU7PIYpdun2PRqvMYsNnftnj7Lzk4KmQi80uN/PKzBuvbP35rbvuMKurrd+u12t/tQEe9lf4yr6AU0v2BxfPPvFvL5x8dPLsOUs/KvHO6/u0u1WMcTE2xNoER1qajqAdCVqxQ9dRnGt5XHiuzHP7O3z66jYffFuPd97eZ6LuEgYeQewQRg5R5AwcgThRxEmWsEmGADc2Y24ztPvz+hYlTebMGFwnwXMjSl5ItdQjocfX90k+8c06r58cQ0Qe28Yt6+uWqbpiesJldkqyYTpiy2yLs4tt/suXKsRBiU2bBPWqplaBWjlCOCGtXoV61SKEwFqIYsmEp4hNTDtyaXcTGi3F+cUSe3dU+fH3rfJLf+hxerGCVlF2Y2ji2KcfSmYnPW64rMXVOzq8cfo8f/RoiUdeqnOhWaLiKaouVJw0AeYo0DJN5wsxmvgwgDXpTZcYQWIhTkTqnyeCMEmTRL1E0EugF1viOMZEAZN+j3fdv8qH7m9z11UxYyVNGFVYafqEkUMQOvQDl07Po9H2WGh4nF9UnJ0LObcUc99NkiSI+Pgff33mHe/s/9u333dzbO3R31tenmJq6i+vfuUvFeBR2ONdN1Tef+b0N/9Td/mPatvWJ6wfn8CiqFUiNsxEtHsOzY6k0zdESSoZtARXGcpK0FYu3VizEPh88bkKj7/e5eavdfgfv7vNni0tZuqKWlkTRi5h7BDHegDyJAe4kRgrsTaVBHYQUIIUeZrfoHWM58Y4KqTVi1hsRfyHz/qcXBhn38E61rhMlgQzU5apMcFkTTFZd1g3KZmdjNk43WWy3uArLxteOlDn6k2C8aqkWpbUyoZKKUQ4AZ6n0Sr9+9ZCkkh6gabXj4iNoN0ztDuWlZbD3HKN23Z3uHXvKp/8mk9pRaFllALSauLEJYzSHs+pus+NOzvceFmHF+65wOlFyccfqbOwWubcsoerJBVH4OYyTKaB54DIc6lCyuSxFcQGIiMIEujHEBoLSQxxhFQBG8Z7XL01vR437UmolTRxXKHZdgkilzBKV9ggdOiHDp2+Q7evaXcVS42Ei8sJrS68dMDHGGiFZzk497nJlQ7/6f7b72y0u50v/GVi8i8N4AcOnqJc26Cef/Ljl7382uHap75WphWHvP2GJR64O6DiKaIk4sLiOEmSLpuuTlPKQqQs40mBrwQ9Lehpj27isByWeeSlMZ4+0KPiBfzwtzfZPBmzdUOP265so0XaIiZEKlfSrKQctLHlD4FFSIsSqZdriUHGvHFS8uIhzYPPV3njTJUwLlPViumSZaJiGS/b1AevaSbGNJN1wexEzIbpHuunGzz+esCvPzjD+rpmuga1iqJWEVTLMSUv4Okjin6ocSopqKwVhLHE14rrLu/x3P56WvjUS1htOSyteswvjfPj757n3NIyz70yjSMBEWGAONYZQ0o6Pc141adeq3Dr5V3uubrL9923yKGzhoee93n+UIkjJyrEQhMEim6kUCKt7RkNPLOcgDXExmKNwREJY26IT8St13fYvr7PpqmIj7wzoOQqKr4mjMo02ymo41gRxg5RpAgjnYI889mNSeuH2kHM2dWYhX5CfyniA/d0ePv1EUtLdV57+cXaufPNy37qo9+rzp05lmzactlfHYC3lp+lOtFxDx548kcuLsX/bmmpxebJMm+c8fjtB30ef72H70QYY3BMhIfEklpznk5bsJQQaGVxE4ufCMpaUE2gn2h6iaab+LTbCf/2k+PYOGLddJ+9W/pMjsV88G09tsyERJHI9LaEAnOT6U8pDUIKPvNYideOVxBac/pCmfPzZfySYswT1CuWmm+o+VAtCcbKilpVMV7VTNZhqh6zbrLPxpkWiV3lM0/W6HUq7NpkqZUV1bKkWjJU/RjHCfnKcz5BV+LMpN2iuUSplBTvurnHEy8bOoGk00todTWrbc3ccpk926t88K4W+94oc3qlipIGiDK97BAlqZvUDyWdvqbZcamWylRKAXs29blld5+zC01OXVxFOwmvntB8+tEyQqkU3EKOXkRrAAPWEoUJW9fFfOhtPaZqCbu3WtZNQhI7BGGVOHZotB3iSBElw+RRGg8pokgNEnVxIpDSMlWP+Y47Wrzn3hUSE+M7gj2bXc7Oz7DYqLG6ssqu7d1/98zzT3Z7eufHvvnsy+Hbbrv+rwbA9x04jXbKlzdWjv3K6uKTcuvsRlZbmn5gqLia+fk63ciiRNq4MFm1OJrBsi1lyuBOFth4xuInljgRhMYSJoLASIJEEhqHyMBip8ajrxksCZ9/Ph3ZgDXZkWfxMotMCIRQCCGRShFHGmk0jpZUPdg+bak4hrJnKHtQ9gSVkqRaSuXQWFUyXoPJsZjp8YAN020SGvyHP/F5av8MOydhvJyxd1lSLcWUSyGVco9SqYynJEpmGpxUDkSRQ78n6AUJ7UDR6RvaPZO2zFVczs2PcefegJ/8nnn+/ac1Z1Y9hDBYG2ESSxQ7hJGkHzh0eopqT1PxXcoln7JXxvciqqWQG3aFuE7ETbtiPnJ/F63iLAlkEMKOivJM0hkjEULiOQpw6Qea5YZO63aSPObJjlgOYqDUopXD11k8BOA6hqkxh/HaGEoauoHLkdM+F5d8FlYkZy9GnPryV+R36c6vbN/afLLX677+l4HN/9cAf+2FP2DHxlLpi4+ffOArTx8UO2Zh/XhAveowUdMIEVH1DVGc2nS535wnIIwRmVWX9j46eUSfCGJjh5G9SfVheghCI4mtJDGayHgkme1VfAyylAK0EGmmUoFfsvja4qsEzwFPg+9aSp6g5ErKJUnZ1ynAK4J61TBRi5msB8xMdNgws8yvP2j4g0fWsbmumKoaahVFtayolKFcSucUXlw2HL/o4btp+S3klX6CfqjZPmuYnerT6rv0+jZjcclqW1Mt+VTLdT5y/wInLs7xG1/YiJYaiyExCbGxRLEmCBW9MC2K6vqScl9T8hxKXkKzncYYrpOkiTMnQcu0UULKNJ0vsiMtXRGAyEAuaJqsytKkcU2SSIyRxGYY78SJKAT4+WsxDPYzmWiMYKHhs9JysQjCUNLuKZabitV2QqnUZ3oSkuar4tgR9UAr3nP8P3/s072/+yMf/NYCPIzL7ssHl/9JZ/X8P0navnzmwno2TEs2TwnKJQUCfDdNnyfWDmy6/GJbK9Am82KzBERsUk82ybNuJtXqgzR7VimXerliECgVNTeQZfLSwEpLg85uJEeBowSOTqvgXC3wPYnvSkqeouQrqiVJtWwZqyTUqzETtYCp8S5b1i3z/JGATz62gXHfY13VUCuLFNwlScU3VPyYajng+cPw6qEyl03bTPcO0+a9QHHTbsuuLT1eeL1ON7D0+gmdns5A7lD2S5T8Ot979wqvHlnguYOzYBXGJGk5bGyJIzuoJ+kFmnLfUvIVvmvwXAfPTfC0QesER5uslt6kW7DItDQYYREM9dwwOE+L3kzuSJncfi1YsTmwjcgcmPS9KZREWCuya64AS2LS5Fy3L+j0Ba6W3LbHZePMNAsrWi4sLfyv6zfU3Wql9nNA+C0DeLcbyCDo/uxXv/w7/2huruHu3lplR6wxBqQUVMoKrdLsWhinGTNrhm1nJgdpdjIcm7J4emKGAB/+NxaT/bs8WWGtpZB5H1lx81R1ntBRMstYKnAGRVvp5/Nche8pSp6gXBJUS5ZaOWGsElOvBkyO9dgw3eC5wz1+9nfWceZcnR1ThnoZaiVFpaSo+FDxE0p+hOv0afYtSiocZZFy+MkSI7Jl3KVWiujGhu6gzjqh3ZU0S4py28P3qmybjfjXP9LkX/6u5NmD67AojDUkiSFOYsLYEEaKfqjoeZJSoPBdiefadNqtNjhO6vdrZVOAqxTgKpMpQtjR2ukstW8zErFZLUuSAT7J3huTukKxEYMSAJO/zvMQufSxYJJ0dQ4j6GeFXMZaLiy6nFuAKDZE8UW37FX/lw++/91O0Ov9c69U+gun8//CAD99vs3CSvBzxw4+8g+C/n7/nustK01Nq5v27QWRIQgFfScNhMLIEMU5M1tMkoPVDrrDTQHYg3RyBm6b/3c2Z/7hwRqAZ7J7oO+VSMGtVKr7ddaK5miJ56YDgHwvHclQ8iwV31AtJ9TKEWPVkIlajw3Tqzx3qMu//NgUh89MsHUidViqJUmlLFP2LlnKfkLZj4iSkN//WhWpFI60KDG0CY3Nl3KHH3hHg6++FNIOPboZwDs9RbujaHoa3/XwnBq7N8f8m7+9zL/4mOCZ19dhrCQxaVo9itNCsyA0BH5a7up5At8ReG6a2XS1HWRstTJIlXrjaftfAeDDlCeQgZM0l5C6LVkgPwBwek3MILmWkVL2Op9KkGeVkyxLOqhKDNPVPYws/cjS7sFCW3Gxd9zf/tQ3/+EHvuN+Ye3qzwjxF5tX/hcGeGf1IMbYW7/wlRdLxxdi3nFjk9t2t9goaiw1SrS6afDT7Uu6fUk/SjdRyougUkDbDNB2kFEzZth2NXg2GYvYnP3Jy52xaz5XDvC8BiPP5OXsrXVedyJxHJnWb7gC30tnnpS9hEopBXetElKv9ZiuN3n+UJef/e0J3jg9xaZxwWSlIE18TcVP61dKfkzJC3GcgPPL4zhKoKTJbLlhkJkkkjhWrB+3xHFEK/LpBTZt4OgntPuSUlfhuw6u4+PoMa7YFPNv/odF/ulvwXMHZkiMTAGeWKI4yZjcEHgGP5T0XTWQYI5DFtjbrE7FoiWZTAGRPb8JxrOpYVlSCDFIDg3APQLo0dcjMjNJZVVendgPErp9SzcwtHsw1xIYHXDblU3uukrSWXyx9NqBHbf+v9np+S8E8Ae//BDHz4iy7nzW9WVE0KzxK58p8fkNDf7FRxbZsanG3FKVlZaHVjp1SUJBoNKiqDgWQ12d5KAugDyXIfnrAVvbIXO/xWeTYlhEJWUqlXJwKzmsJ0/lCfgOeK6h5FtKXqqfy6WIWjmkXukxNd7kpaN9/sVvjrP/9DQb6orpimGsJKj6krKvKJcEJT+9OdJUf8hzBwWdvouvyG6yTIfaYaAZxZqKr7jtyjbPv1GjG6UypRckdHuKtqfwXIXruJl+rrNns+EXPrrAT/8aPHNwhshIImOyZulhD2bgSjzXpOyd1aY42c2dHmQyZSjjZJblfTOQ50khWwD4sKZFUCzgymXJsBbIFgq60puwH6YN0O1uOkXrzKpkZqbJv/jIEtumxzhzcYJXjoY89tqX3F/4/727/MzTD3dvv+Pb/+sDfHnpCBOTG+uf+ezn/0vcTO7eu91Qdj3KRyTPHJvkZz9u+Vc/2GD9lB3ODLQitegyqRApBlo719u5xk5P3lCnWzusm8jfZ7QyqrtFWlAkZAburMhIDQAOKnNwHA2uk1pXvpsVWHkJpUxeVEsBY9Ue49UWrxwL+Be/Oc6rp2aYrWumy4axElR8QaWkKJcU5QF7J/heTLXc5/FXXVabPuPjwzR5Dhhjsu73RDEzqbj/2g6Pv2jSLprQFEAu8R2J72gc7aJ1CSkNezZbfv6jC/z0r1meOTxDZDRRVgGYlr2mIPIiOagudLVE66wISwqUzs8Ng8+X34S5VBF5VRrDhNDaYwTohXipuDrnRBYnefmtpRcaOv10itbpVcn0TJOf/cE5rtxc58UDM7x0yOH4uYB1M527X3r9yG9dc+uHfuLg8ROre3bu+K8L8KMn5nHPNn76jaNHPryudIzNsyViSpxacJgqSZ55fZJf+MOEf/3DLabqDv1QE0ZpNA6Z5x2nVl8K8sKSliVn0iDSjgaSa5k7Q3q+fA20t8wr6Ia6O68Y1Iq0PkNbHCdtLPZdg+8mlPyYsh9R8QOq5T4TY032HQn4J782xSsn1jFTd5gpJ4yVbQbujL19SclL2d/3YspeSGwC2qGHUBInZ/CBBs81aVYgFjlU3H5aLhD6jOcg7yd0XZVtiSJxtMbR+Qa0lqu2WX7pJ+b5n3/V8MyhdURGEySCMDEZiwv8yOA5FtdJ2wF1FndoJbIGbpmdn6wrP38uFGYVHa8Bo68B94CERgyEofQsAjyObRafWfqhZaEtKVc7/NPvn+eOPS5n5iosNyPOLvVY7Ftka4nGsvvhxXOvHY/j8J/+V2XwZ18/x+S6DVu/+tmPXb3/9SbLnXH6iaEXhJhYUHIUW+uag6cmePbQIvddFaNlHtwYjJXD7hlDwTEZLmnDEyYKTDHMStrimpmzdjGozJfbrENHZcGU1hZHpcB2tR1UD/pOkunmiJIfMF7rMlZp89zBmJ/59SlePrGO6THNdClhzLdUM3CX/NROzMFd8hJ8N6ZWCTl4yvLYvgqulDjKZEHcUEfm3zVKFLHR3HtDxGU7Ohw/U2K6nLoL/awHstvPWFgrtHZQ0mZJI8uVW+EXfmyJf/prhiffmKYfldJkWGwpZzXcnkMKcp2vXmbQ2ypVMljhlBQFgIsCyLlErwxBbkcBXgB33tk/APgA5BDFeS26IMFy554eezf6XFis0w8VN+xpcu0VXZo9jyDwMVGTE4devPp9D3x4q42PnBb68r98gLdX56mM1bc9/M3n/8+qf/H9918f8NqxMc4txHSMQXkpcGatYaXjceDIOnbOACZNCSuZMqcUllhm9pIa6rYRUJvc1+YSYA9lScbca8EtLFLltmAKBq0y1tYWVxscx+A5Bs+N8d0Y3wsp+wETY10a7S5PvA6/8IlZXjs2xVQG7nrJUi0JKr4YeOWp82JS9nZTgJe8gDBJ6Pd8fJXeZFIUln7ybKHIAk2dankdEISWXiQKADe4boLraBxHopVCSWcAcARcs13wCz/R4N/+Ycwzhya50KzRr0jqiaUapyMdvOxwBhLNZnYhBYAPGXzwebMPXcT5QCFmF2W4stph8DkoxR01CvJRFolJf4ujYNsUXLulxuLKOKttF2PB1T5SjtPpac7OaV48HHLt1fPvv/b4vkSWbv2Hp05fPLVt6/q/XIB3W0cg8W+R/TcecKID7NlRRkifmQmXVichCC1JJtS2ScG6MZ+F5dQ2E6SM6mAyXZxZgpk9aE2esBmVIpey9qgqzC9COu4hZ2+byRNbGA5ksy58gzsoj03B7bkZuCc6LDZ6/Pzvl/nCs9MsdcaZHpNM+xm4/VR3l7PAsuRJyp7NGDzV3r4XAiHffMWlEblMeozUYyNGV6gkSZsfap7mbdd3ee5wSDvyGBss4QY3SGvVXZ0CXCuLkg5CpgkaLFyxWfLv/8cWDz3X4+d+ex3nlsbp1TV1V1CNDeUYvCgdveyqdKCRkweaUgyC4Py5GKgXb0whBr0iQxYfEFHh2hWMgdwwSAwFIyH9fWUfyp5kcanGvkNq0ENqDPRDaHUMc0sxJy4kzK+eZnz81APbL5v4/TDsn/pLZfB+r4Pnl3e99sqjP/Xcyy+ya2PE+qkWYaTx3RKNtqbbT4vkrU2DuGoZjEkGlWRaWqwEZQVGMghA80yXGVnuxChrF2VJdqJzZsnTzbkLoHKAK5vKoyx75+RjJpwE14nx3QjPjaiWemjd5fFXE37ryzUefGqG0NSYqQmm/FSWpBZg7pOr7BAZcxfZO0LrgKcP1OmGmvXl/POsZfA87pBEscJ3FLfu6RGbFOC9SNCPhl5xPzBpcKhFxuLpjSyy5LpFMFUXfPi+DlXvAr/95R5PHJhkLirR9SW12FLRNgW5zuIQZbO4xGYgz8+hGNaOS5AMWbzo1hUvSd4KZ0cAPwS6yVflYu4iK6EQAlaaMWGUJt+sTUszekFCs5Nwcdlyvmm5arLPwtzzXLl3x0+98567Xu72ukfLpT97Z4k/E+DHT5xl4cwjlCtjG1YXj99z9ETMV1+s8O23rvKem1dwtKXc8Oj2FWGcsrKSqVzx3BRY6ZKan5YiqIf6Ok+1j8qSgvVQtK+EXSNN8qxcWjGoJIPJVzlzOyqtxfCcCNeN8J2QcrmP63b5xCOaX/y9GY4vTuB4PrNVwYSXUPMsFQ8qWYd9yUuznX6WEErrV5JsJUjlyVIroRO6uErhSjsIMCl8lby8IK/dCGOHktNntt5jtVulF4ls3FoaKzhOktl8KrM7VQrwkcA1rXx8/10dbtq7yC98vM8ffGWalbhC13OoOJKaTmtwPA2uYtAMofOkT7byyYFUGSaAiqQyKlZGA88c4OYSsA+lC2TnxAr6kcF20++qso6nKE6dpMUWLHQN771nhffdDAeP93juhSP3nDqbbGg0m0eXF88zOb3x/x3ABQnu+L3bjp1849e//tQBsA4i8PjGSyG37m6zftxBSkunl1a3GZO7JfmJM4OLkZ8Ma0XmqxYCSYrgLpS6jnwWO2STLPsmiwCXw783ZO4kA3mMq1NJ4rkBntPj1HzMbzxU4XNPTnJifpxa2WHCh3EvoerZLPWeg1tm4JaDpJCfaW/PTW+cWiXgs09rjp4u4WczFAftYgxRPhjjYFMdHsWaK7bCe25q81sPT9Ipa2pZZs8Ls7hBGbSW2dg6CiB3CrSargpbpiQ/87e6XL39HL/24AQn5sZYiUt0HU1FCcoZ0F1p0xsnc5kGq19+XnP7kFSfDzOd9lKfnDwBZ7ObeBTgRTkDuS2ZjZeLQMkESKVMGFu6ASy0JOMzfd51Q4yy6/EcQ7v7Olfu3Pvru3ff++3tdvPPlCp/KsCTJEJKzeL55zfFnQM74zBgcsxl/aRkw7oSsxNdSn7AhBX4bkQYaeIkbRNLJ0UNmXvUbhKDrNjwiw9fD1khp207ogNzYKfPWdFQBm6V3VQpeyc4Ok47d3SM5wW4OqCdhPzKp1x++6FZzi/XMarExJhiwrWMuYZyxtzlQfpeZnUqmTTJvPMBuN00exlEIUfPeXRCj3Evc3HypFPuSuQX2xZqUiJNraLZvilEeX3aYZWeKyhFliAHuE6yRI1KfWyZlwC/WfCqmB7r8uPv7/LAvXP89kMtfuMzkyz1KvS0j68VZS0oKYsX25TNZSpVtByWN+RZzkuYnFG5Mryul2pzGEqT4n9X/D35kCKTtcyFsaATCRqhpLNU5otPltk87uM4huVGn0eeOLBzoeVueue9N5zqBwm+99ZbTf2pAI965/EqtekgFp96ft8Tzq1XC3xdQgiYmQyZHDM4uovnxHT7LkGY9kkmRqYyhGI3dwHAb8bYGaDfPENpC3agHQB7RJ7IrEpOJSnAdYJWCa4T4bshrhPS7Ic8/ZrkE4/U+MyTk/STKq7rMukK6q6h4lrKnqXsDsHtexLPk3iZNEkTQ5kzkQHcddLM58mLlideKhNGDl7FXhJg5o9BmjsrRQ2jdO7L/Te1+eTXOxw+V6Hnp/NeAsfixuBEBic0KCVT31oKpJDD4T45wHOP3UjKnmZdvcf//L1d9mwJ+INHqrx4cIzFXoW+cnEcja8FJQmezGzU3F6VNs0nCAogH61ZWVucVXgakhYFsBfLK+zoPzU2rSYNkrSxudUXdGOLE0kefRlmx/oIIfD8kCvk087dd934qVPnO9d2e63FPw3DfyrAD8/Nyt7q67ecPfrVsQsNQ0gfk3S4akfEUifi1ZMJN+0NGC8JZqc8Ol2fXuAQJTqrHR5mMi3iEm2d1zgMapELDD5S+JPtn4awWSInnb+Xl3umutuiVZICXCUDOaJ1RLMT8dTrgt95uMYj+8ZYaVaRJZ9qSVF3LDXXUHYsZddScslYO2XukifxXYXvCnyXrELPZOA2eE6qv5UOOHIOzjf9NLGS6dvRxMnwAqd9kCnIYyMJQ826mmDX5h77z8R0I4cgm/HthqTgU/lk3TxRA3JNZ05+8+Q2ZJSk9eEfur/HO29u8I2X2/zuV2q8eLDGcrtMU7p0XI2rBK4UeJK0h1Omu9QpMbxJlcjKfrmUwS+pXxlc1/yak1UoDsGfAz8xEBpB3wg6IXT7EZPlHtvHA67eG3N23kO4giu3J8QmLcN+8plvjn33e6Jb9l6282H+lOFBfyrAbXDB6/X1r37ywXblzMI4iy1Dox1x2bYAKyxHzgpu2t1j54YO33Nfh+t39PH9Et2eS5xo4kSlZZa2CPScqcWaO/pNCmpGpIkdKdBPZYnJNLdJxyrLBDd3M2TEYjvm8Zc0X36qyheeGGOhVUH4Pk7VoaZhzEk7eUoOmeyAkiuyQ2Ylp5nudgVezt45wHWM68b4boi1Ed/c53H6YompCYEjTaZjxbDRt0BZg/LTTFL0Aoet6wT3X9/lc8+GdCKHXiTwHYsbpyweRLawSqmBX42QIzIlPeSwUcGkfnvJC/jQfT2+7aZlPv9km4eeKvP4a1UWmmV6wqXnarSj0ELgSIEjJY6wmdSyKERBGo7ah5dgpwDwtbLFIAbuSmyzBmcD/SCh7HR525UrfNe9bbavF9xwORw+44LV7N6iWG5WWFj2COJzFU/yq8sLi3uA3v9jgC82EuK4//2rC0/Xv/POZc4vlDl2znJhSXKx4dHuw4QHL+yv882XIx58psE/+K55fvx9TcYqJXpBCnJj1NAStCIF9wiDFyySEUYoBJQFYAthMjvQIDKAa53g6gjfj+gHCYfPw6kLij/62hgPv1hjoVEBx0fXHMpKUnUsVW0oOZaSA76Tgtt30pmEaZmpLBwi+99tBnIzALnrpO1pxy8Y9p/0wHGyZd4WUvRiBAVFpyFJROampOOcr9oesHdTh0Pny/R8QTkWeJElUGTWnsnYO3dTcgtyqFUGPntmRRqjsukDaad7qRTwQ+8KeO9tq3z1pQ5//PUypy74HDpfJlz1iD1NX6c7RyspUYDOnnMmH0iXNddqLcDJ6bUIbNKy29hCZCAyBhOGVGSbH3v3In/vgYDpsTL9oMJy02ey6tDpujy73+P8gsOxc3B6vsd32/3Ua6U/jaPfGuBR0BRhFP7k48/tr1edDvWJmKu8GlI41MsRnb6h04dmBRY6mjONKX7hEyDFBX7sfV3KpYQwckmSvMtdFthlAOHsJIyemmJgKvJuk5y1hUlHP8gEz0snqcZJwtwyfO1RzfFzJR57vsT5RonjFyrgeaiyxteKirZUtEldBMfi6XRwvOeQgTg/ZHaoDOBkmjsDt5PgOSl7pzdWyMlFOHiqjCNH7cGBRGFYDz6w0QbJrqyvMXbYu7XHrpkur5+I6cYO1UgQaHDjdCagKgBcSoGQcoTJgQE7DktX8/rztI8yShwCx6VWCvmBdwTcdXWL840W33zB5cRZj6/uK3Nh2SfpORipiVyFkDJdKbKufEmW8YShbClcypEqxMHqMsxQp5ahxdoE4hBfdvno+xf5x9/Xw9fjnJsfZ7lZpt11aPc0na5mtSM5cDKiH68yOWWw/Vembrnn7/zU0uKZX5qa3vKm4dtbAnzf8w+RJIbFi31eWawzORazaUowWdeUfUEvNPT7hnovwXMMvVhybqHKg09U+PA7FpmtWwQJidJZsbxMR/lauSbAGGXvHMyjzF2QIirB8RKixHLirGD/CcXXni/z+kmXAydLtAKPIPTAcVE1B08JygrK2lAq+MCezus08rLZtC7cy2SJ6ypcV2Y3gB1qbydJM4tOqvN9N8KakPkVSWA9tJa40qILNtsaAh+APLGj/Y5h7CDQTE+ESNWnEzl0tUidjmhYMKaVGclASjGAF+TDjhBYI4dMXhiM5CRqMH6iG7jMjodsWRdxw46AXtjjh082ef2Uy9ee89l/0ufEGZ8oVuAprFQgJIksZIMGSQoxciUHX7Yo0G0+uzxvEI8hDJmY6PLeuztM1z1Ona8wt1Rjbtmn1VF0CwP461XJlbMe41XBwpytPPn0ix+WSv3S/yMGf+SRRwj6LbUwv1/cdlXChUWfdjdlsmo5LRIKI0WQFeiX/JiFIGCuESBiAa5FlgN8mRBHCpvtoGApbrm95mFTQJPNL3G0BWEQ0hKFlm4/ZfRT5yR/+IhHN1K8csDn2FmPpY5LkLigXVAOqqZwpaCkoKwsviIdZ6aywiOVsrbriDTpUQS3I3EzWeK54LlkrkmaMne0wXXiLCMaUfJDFhoJX3umSrPtMT4m0JkXnxd9valGzbN7Ay0uCQLF1KTinbf1+eqLPc40K/QcmcoUDU5scaLcs848dpmkdiHFWSdyyJhWF/5GCnQ3USRaETvZ2IfISa1UJ6LiRtx1VcytewI+cE+fI2clrx506IWKP/hamZNzDghJt6dJQpWXb2J1DvCRjNBIkm7wpQdZIYOIE2w/QVRj0IZ+ErPaFhw/5zO3rOgFdjAaO04sjiM4P1fi8AnDxWVDYI+Im6+/Vj339NfiW+/4tj8fwI21OG71V5451L3mXTde5L4bSyytVuj2dTaeOB9ymQL2xpLhx79njqPnGzz1muTrz/q42jBVM1x3ZUTFt+n4NCveRG0P7/h8OE+zK3j1Nc1yS1LyJc8fdPjSkz79SNGPFBfnXIzQRNbBCAe0RngaLSWuEvjS4mfA9pTFU+mYCldnnq8eMreb92UOwK2yHk0xYG/XMbhuXqCVDNjbdSOUCnn0ZcXnnq2iXJ3abSP6+60ZPPfCkyR3PBT9vsN7b+/xhadb/ME3x+jEPpVMhzu5Do/ypIwddAsJIQcAy1JtBa1fALhJmTzWKZM7WhFrjY6TFOgqQal0kP64H3P77pjbdkdYEfDB+7r0o3Sc2xef9HjhoEvJEyy1FK++7tLqykwlrfFFR9E1qESs+IbrrguZrKXn9NgJl9/+XIVDJ0vsnIypePEgdZ/PeY9iSzcUzLcsm9e32TYrrxmvV38F7I//uRi82+lQKpdrv/PJT++eqi2of/cZn1svb/HR71jF0yVanRLdvpNOLLJpzcd4tc+mdTG3XN3Hqyn+l18cZ3lRUZ8x3HJNRLWUllC+aXqyuKRlrsNqR/HifpdWUyG1TGeiWJ0yk9Ckc4E1SI2UEkeKFMzS4kmDK1MguApcNZzRl4JcDBsedNoIkDceF8GdMnxWVuvkDJ4UjhhPR1gbcn7JJQx8vDGJm6W9VVaVN5LFzDt6GKbXhyCXJEYRRg7jVcXmqRBX9OnFHr1YUNLpEMy8hiRPaClZLG+Vg7+V/g2ZJX9MYQi+yTrih9IojpMsb6DSBJmKieIEFaW5BK0SpIzZNGWyFcOwZ0uf0PaQ2tBsCl7cr1ntStRAsYwG1YWrDFmNSsW33HptRH06YWlR8tO/OMGnnhzHH/MJe4bJcvpdTTYbpx0IVnqgvT4ffd8yN+yIOHhKqmvcud1X3/CRWrvVblVr1T8d4HEwTy9RvxSsnr3v6DFN3PL57OMVFtsrfPDuVa7b3mRqvEQcOyRGolVC2e9TqXQ5Mif43FfLnF7wwZW0G4KLj14SW6/9utnL4fJmhcDkWy6Q1ZwKNQxypMysrBzUWdpZkm3cmvvGhWedddIrsq33GIA7betSuBm4Xc2gxDRl8IzFtcHNsqOOE+F5EWeXDB//agW0iyPFMMAcyBNxCYMXLbN8SGgKtnSwThg5fOSdPT7/eI8D81U6iUM5TjelTasA7bATR+U5gWGwNziXAyUgCwVe+WEGtTBaK5wknZfiZEBXcpg0S+vGs9ci26tUJmhhETZhqmz4jjssyCSTmYAwjOqUwjUvvBUGCCTbZwzf+c4urx6vcHgp4mTDZ7mbZlaNhcBYlAq5fleD776rzz1Xl1hqTDJdUex7dek+p3b+l4yJ/+6fyeBPPv0QUgi33zvH9btc1k9oTpyPeWbfDF9/scK7bpznx9+/wt6tgjCSSGnohzFffc7yu18Z48n9VfC8VCiiSEbuZrvmuxaWMiGA4TKbBy9CykELmhLgiDSt7Im0WtCR6XstyWoqsgaLvJBIU5iDkoLc1cOu+iHA5UC2eK4dtLS5rikMzolxMvZ2dYSUIafnBIstH6E1nmREngzS84VCsdwXLta/F/VxnKQz/iZrAVtnexyaC+glmn4CXiJwEosTZzo8ZuAsDVPfaqRTIXeq0km7ttBBlUsjg04MiZIonW9frrJitQSpTLZSmKE1m4Fc5H8bs8bKtQOg5xbiMNW5NkOU/g5rE95+XYz/k4v8zsMxzx0cY7XvgZSYyHD19g4fff8K33adJOjPcPDkOMfPupxd6FMdO0fPPuymm4n9GQD//S/MIxCEUZeNUyHbNozjKIm1ES+fqfA7j2zk5Pwid+zpYGKLkJJzS2U+80SVbs9LAz1PF6LrN0vgFG5sIdJlNVvKcxbKATIAtUidCS3toMYjfz34WUb2w1JQBg22rhIp2EfALdNnNwd6Hnxm4M67f7QZSBRHp/rUdSNiIh56usT8YglnTOEWaziKDsraszBSYSfWBIGKfpBOsH33HR2efq1PK/bpak0pNoRZOl3JYUFUXnAmhGHYOZQHmmJgS6bWYTZTxUKi0r+pjSBWAp3IbBe7tJYnzoA+TKaZQYIt33G6mJsYAXgG3hGf7BIoDN2yMDLUKzEfuDPinTct8tknmpxb0gghMAncckXE3Vdrzi9OcvRsnUMnPc4vhKyfbbFjU8imdSdHdu94U4Dve+lhfN+/84Xnnrrp+AmXVk8zPW5YN2FZ6YX0TypKZZ/H9q/n0ZfiLCImPcueRFQkMp9eekmxwujbQW1J4XUxkaAALfJ+xjRlnM43GWpclQNbpvvJ56MQisAezEFRpP2IbwbwPODMdbfOZYnN9PZoLbnrRLhOyFzTsO9YCbSLzuSJLhQo5dk+sQbhqZtkh0xuGPjhuSceRQ7XXxYwWe/RbJTpxoqyAidOv4tKbHpERYCTgnzwh+SaSk2R9U2mZRRGmXTgkhEkSpIoQ6IEcQbyYvFaXg4hc5DnoM6CXSEsEouQZjTxM8hGD8En3gToUqQTAdJ9SmM+/LYEqdIKQ2sk/bDESsvDUREXlnu8fEShRMLsVJnXDvmcnC/ddPttt9350FfueOo73jXcEmUE4G+cjJCS72gFnev27prjqm0KzzF0g4BPP+PS6k9SL0O1qkjQA+M+ZWI7NP6Hi+OfA+B2wNh5aWZ+wdbWQeSMpfOfZTXgealn2lycd6qkskQNuleGwM6bb1P2zjS3ZqC3c0swZewhuJ1BdWKEIOLBJz2efr2K9DSuFOn8bTks5B/OZynWUQ8Xr8FotAGLp4FmYhS9vsNtV/Z4z11tfuPBKmHi0UkkfmIJYrKVq1j1ZzI5Z9bcUG/F5GC0HAxcysGdKIlSJmV0KbPREqZQijysARKyUM05wt5Zsq4IbvHmOBi57Qcyy7Ka/3TQM5B+qXq1w1i9z75T6+n2XJ47Cts3LPOee8vXbVvX/o4gjJ96UwZvr56hUq2885Gvf+NvPfZGh5Vuicene1hiGm3NM4eqTFUkY16Cyj5InlAwg0qxISuN3LNr3o9Wo9kRphv0VjIs18yBLgosnm5Bkr8nY3AGbVgjLJ51wzhqFNzpOIU1zJ31bLpZe1u6y9tQmqRHREjEH3+zRmI91CB7WQwwh32N+W0/osGz3YgH7XpGptOhkjzY1AgcPvS2Lr//UMCqieglPr1E4MQMWFxKi4zFoOgstQvXalFZsCZFAeSCRGcd8CoDubYok8qVRFlUklYwptljOShNHkiVNdWdQ5nCEOhvOcVmDbfnYM5vyMLKA+nmBQC3XNHhH354nkZbgVXM1EpY2+bA8ehv3XDzOx87fur8V3du2zgK8FY7ITbxZY3VYGfZDXj9VImnXy9hSGd3TziCaiXdG14WAD4Y+mLXHmLELXiz7zZQi4WTIdcw30CLr9GcuYtQnO2hlBhq8azibmTYTQZsrcTQSRnYgWnHfdqYbDPmHgaYusDenhOy75jk6AUfqxyUlLjSpJKqWKdR0GBrXZT8GA7NEQW/OgV5FDvs3BCxd0eHZ4+UiJRLLxb4EpzEomORyjmRdeHEmQ5HpoHfKD8WWFwUpNFwNmR6pPUuKbizdjZlC+DOa4Fsum34gMG5NNAcXGf7prQ9UpOU26bFG36ArRRLaWONR9kv8bZrQpQ0WCs4fVHx6IttZjd1d2rCy7SIv3oJgy+uLKNafWYnVohZYX61zkzFoeINA7fi+INhM6kdzp2zwzEQ+X6Ub1b/C6MXfABoRpMjSgxBn9tuOZsrIdLueTEEdxpkikG3uB6AW44AvDj8J+22ZwDsQbZywNwJrk4TO2lXUIQl4tPfLLO8XEJ4OvXdizfh2hqUImEVq+rMKKuOeNNGEUWaqQnJ99zfZt+xGkHi01UupSTV4nk5q5Jk4M7XCpN54nlhbsrirNHj+VzI4lSq9JAok69IdvBaZqBWuQaX+X5HdoS55RoWL5D1yE0++lnESFnBYKBnMrzx00Rg+vsdncYHFT9mZnIV5RsOnOlx4w1zdLv9SyXKL//ml1FKsbi8wsLiBDunFGPlNBGSLzPDGgowic3GHDPYSTjOdxQ2BWZ6CwYfBF8UgCDsJcwtCqxdbIotzhwcAHzA4rlckSg9CnA3G7yfgztN+GSsPUjFm+x1MnJolXbuHDgNn3qkSiBdlFRZ9nL0RlybwXyT65uxF2t0eKbFE0WcaLxE8z3v6PM7D3d57USJSDl0pcRNTOYeCWRiC+fJpu1lwhb+isn+1ui+RUUmT0w6q8bkLJ7kYyVMKoUGfZv5XBYxuKHjER3OENy5Vbh2cm2BwQf163Y4XzzfLS/Plsf5pmJmGEfk+HEdw1jF4/Y9PYw4yIGXL1K0CzXA4aMXuPyy9eU/+PhvbD93tkFzfSktisqsu8TkY43zHYTNYEpRPg8vitOBLpG02ZzvQkd18VyvlSiZ3l4blI0CXQyAs3Ycsiwwdh5k5lObtM43ec20t1oD7jx97+SNySadGTJoEct7OuPsiFBOyNHzmnbogtKZPLFrymNHKwgvcVHsaPA0moRJu3GGiR9NxRHs3tjntaMhifHoGRc/SWu2dabBlUjT2WliKQeUgUHdjxmc+EGGMysN0YPBpunPlIEkG86kst0ppBlOCMinayV5d/+aFsK0BqvQpPJWDD6IBwQmEel2kEm+ua8cbPQbDXZjTqehpXMOU4yBRAqPKHGwwmXXro3b/4cf+dFy0P07Xa+8PgV4t3OeAwcb75iaqvy0bxeZrDk0uy6trqIfZFtnh9m+5BGEYTpEMd2/3BAoQz8yA/aQsSURjAL8TRicNSAYBfawj3E4Oy+TJoU5HinIGdZIqwKo1eguxo4i88JTcKcAHg4FcorypMjeKuvrdENW2ob/60+qLPd8hOek8kTakVVlODjnrSsyBkAnLZu1prBUGzlI3cexplbW/L3vavONfTWWA5dQanpS4mY9lMORDxmDZ3U9ZLZhXkZrMRm4DRa5xlkRGYPbQZCeg11JkTF4KomSgXuSAXxN7+ZaJh9K0tGMpi3EIEm2kW8YS4IwHbndCwRBmM4ST8fR5duKp9iLIks/hHYPVrqGerXLLbdUf/rsmSNPdbvdzw8Y/NjRg7iux4nTZzh/scNtV0esn1JsnXXphyWWmx6tjkMnH4UcCoJQ0Q8lfW2QMs4umMFg06IqMWTxwVezI0m2UeeE0bR2cfPStcDOh3jmEkWq4fgxVQC1lhKdSRI9AHiuuc0gqHS0GYDb0Xn9xSh7OyrCdUP+6JsObxwvgXSQUuLlpbFiuJvEYI/47Au+ZTVhgc1NcbnOQB6btOUsjh2u2tnl/Xe1+J2HfYz26EkXT4pB0kdJQSRyA+BSJhdFJi86FYWaGKPSuTVapmyuDIPZjimriyGL5+2DOdgH4BYIuUaqFACeE9ugITn7vrFJGTzdIlHS7YvssNkM8XQibT8wdANDqweLLUkvTnC9kOnJmCu2xTSWT/HGG5ooCocSZazm4Psa1/F4bv8Yzx2KGKv0uHVvh7uubLF7m8/FxTorLY92V9MLsjusL+hoBSIfjSuIBRiZT34VSOygPW1wJw9ck9HZgiOjj8VwYE6uu/98AJdDgA8SPTnAbTonO5Mijhq6JU5hONBQc6fs7eh0alWjafjio1WWmh74mXsiCsHYW0gUxJoqSlsA+VrbLncQjMQkuZuiGa8p3ndfly883We54xEqTS+RmT0pMvdmOMlAyrUmXMre+Y/MgM2HOzDo3FlR2WuZvZfpmL38vCtpSaTIgk4xnG6Qr7pFgJPf7MMW9Fyb51agKZYNJ+n2Jp2+oNU2dPsx/TCdnNYLLZ1+Om75bANmZ5q84+out+6NGPd8+l2PpnHpRy5xnP4NHXdeRZXHtx3c//xPnrl4Ck8rGqsuJ86UeP1ExKOv9Ljvug7ffecKiAm0spS89E7rlyR+N01MdLpJlp0r2H2D0snCwjTQ3mIU1Iy+zwv5BxJlBNijs7+LHS7pcHdGwZ3vbJAztyow9yUMno+bGI6c0CrNXJ48JThy2sfgIaQeNOcOqweLwfGw7EAM7uzRWpQhk4uCPBEDJ2PQbpZosJortobsXN9n+VAJm7gpiyepTNEFF2cIrmKhV16LLQvOVsbmduiTGykG1mExtlEmvWmMJNPeBekohsRTDHLzzh8h7bAcowD04Womsr6I4Xbn3Z5hpRnS6adj7MI43wFCcKFt+e77F7nv2ohdGzS+rjG3XCXsxzQbJyhN7PrJvXvve+WJFw6d0q2uogyzYei8s7vapuyVqc0YNkwK2n2P1WWXlw+4fOD2Nr4TIyoQ+2Jg40xGafPr8bOGfpSJ/zzKlaPAHgB8jSSRA1YvnKjBnO8ic48Ce/CsyEYBF33w4pFtaa2K4C6APNuv3slKQ3P2Vtl7rSOUinjo2SpHl0rgDuWJU7AuxRr2Xjsu4s1kirkk4MwzmqNaPAw1O6ZC3n1blxcOlME4xEmqxZ0ky+4mo1IpB9lwomNuG8qsXUwMg838tcxeZ1V8RuZHep6TTKPLHOg5uM0wDhBmuAoLAcLkLM/w86xxl6QAlMX3EsasZf+xhLMLMVGcmhb5NNogEjgy4ebLykyXPc5edGl1dbofp4hZXOiycZt8p6uiWV9zSvtehFuKsKJHJ+gzWRtjrJxrtPQETdU9zi+4jFdDKqUgu0vzyVF9PvENn6PnxxkvpUAaZvGGy3R+sYuTVkcGPBb87gGwM0CLNwH2gM2VKDThFsCdzSccbtvBpcDWwwFBgxFv2mQgj1N5oiJK5ZBnDys+/2iFXt+FskZLgSNGpcnaALMYZ7wpwFmjv9dYhkVfPIo1Y1XNB+7t8/DTXZ4/7GIrDr3EwxUMbjQ1+PtFqy4H9xDkReMuDT6zG0ylbJ4U50iqFGB5wGkG2lsMrMnBqrpGahat3+EKLQqfb7hPkJYWR8VsngmweoV/9lszlJTORlhkhXfKsmVc8urBCc5d0IXzKKhXFLXyIlL26PQS+kGMPnNBUi7D4pLPZGWMek1R9tLslRTgOJZ6JU633PPSAfGem2bzUH2ePiB4+mgdNxb4Ov3QzggjjzoiI46JHO7KIIUYOQH586DvcMDsYnAoJbITMwT3EOR52axF6+EIZZ1twqTVKNCdAVunh1JpgOm6IVGY8PAzZQ6cKYPjIKTKQJXVyxSCSyFHWXwQUxcdlSJr5/mFQiYzBbkcaPHcLgxDzZ4tMe+6o8Orp0oEsUsiHXpG4Sas+Sy5F84aBk+f7ZrPgspvNoNRApWP1ZPps8wZ3QzzD1KCzEgwlTDD7RLzja0kYrC6SQEmv/mkGNTR2OxnWpmUwasBN+3ucfX2OZ57Y5w+JTytqGio+4ZKDMfORswvJ7h6SH5LvsRRdcZKLrPjMV3XoL/2jS8SJZrpaoN339nPKrqyzJEAR6fbeoxXe1QrPVzdIzIBh85a/vMXajzy2gxRv8Kmau6j5vZU4UQU3hdlh1gD6rW+txjIkuEOBENpUrAKB4ydA3w4OXUgUTLmThnbDphaD56Hr50suNQqwnNDXj8t+OrTZbo9FyoOUuSVgxTswTfJYg6W5IFQK+jwDHCZB/1m5bPDuSZq0O1TrYa86/aALzze59UTaXly30jcTIsrAyoZTZqJJAvyhEizdAOwD4FtbbryDaSLTNk8X1VyzW0kSJsxek5e0qY/NyJv0USYwrkwDH4+YHlL9v+y/UMZ1rREiWJyzOc//VSTJ/ev8itfHOP4uSqNfoVW6NANBe3AUvESHE3m2KW/txVA5D3H2fP76fQMuqwbKFfT6rT48tEW2zescvc1hrKrAJFNiYroBCEn52KefUPyzMEaT+0f40KjRrXkMFNKRzCoAaMx4lEXbT4hisv4Gr09AvphMCmy13l6vpjNVCqrMMwqCtN2ruy1Ls4HXwPu7HDyKbRZgb9WcXroCMeJiG3Cg0+VeOL1EvgaZNrQ7BRKeEdKY4tH8c1baPDReehi0GyeOyqJkSNAD/oO91zV5d13dnnjtE8cO1ih6AmNkzD4TCIZsrgYubUuZfLh37colTN3yubpe4E0ItXhBb9/wOZWDAA9GGU9sipbpBUYQabVs9+TfwKR3ph5sisMFe1umXoVvuueDvdct8Izb6zy9EGf5/aPcXalwpEVF0+lNimA78e87doW29YlLKxInn0pRAiDfuGIQkhBEnqsrk7xjf0hTx5Y5qZdvczpSAt4ntzv8+irZVqdEkHfx68oZsYEY46h6qbzRRw1TJkP2VWM6NMiiw/dkrUAFwVpkwFdDf/9ME1fONQacKvCoYeboOaAdgqgzp2T1DFJn5WKcJ2IV05JPvXNKuCCdBBCDbqIVLaR6trsa36T5rASA9+g0GJuRx2VYmHR4EjS1r10Cq0apO+t1XzobT2+9kyfF4+nkwQio+gmYqBVpSBL4YvBesHIvZZ+FmttyuIFoOf/q8pAb2S2n0/BzhzYtgXZMiAmC9IUwC6yGyCLE4xNgW6VQNnUcIizOYtRLAkijeynK0k/1FR8nwfu6vPttwS0uhd57DWHJ/eXsFkPqhSWGy7vs2u2xMlzU2yYVGiVYLHonevSopkghN4kGB8eenYdf/g1iRj42emEI0dJfE8yWbGUlMXXJp0z4hRmjOisPHWQNi+k2tcCvAhuMZQkxaByqLuHbsUIyLPWtOFmU+nODsMB+ENwj7B24TlvrM2lilIxjhMTJTGPPV9i/7ESOA7INLh0hS1Mji0wuFwTa4wAahRatvBi0ABhxahMKWx1YlTmqCSaIHS4cmefe25JWbyXpCweCJe+AZ3kDkZWp0KmxwUFiZJ+gGJpc9G6VBKsSplX2TSJZ61A2FQ7WzsEsswqdAfywwxX5ZTZ7fBmEAJp0wpVa8EWBsOmn1MNbNM0uFb0A5dWt5xO8XUi3ndrzAfuiBHZ5xdC0OxIHnrW4dApQdnXKO1hrUX3oxjPgbkVw76jEmtcdk0rgrrI9o0XA9svLc1M0v12Mm2bj2HIG3rT8tRCTUgOUFVcssRIvXQOYlFI7LxZ/ckIsMVwg6mctYsAz59HwF0Yij9wT1SC0gWAZxLF1RFHLwp+9+EqQeRA2cnkCYPWNFXcJbjonOTs/adJlDWVlkWZMiwqykG+VotrKp7kB9/V5cEnKhw+n958iVF0E5VWGSZZ8geR6u9EDJpLiiuJzYFeALi0Qy0uM40ujcVm18hKgcxki5QCYQvAzgJtadeUXdj0JshLe3MtPzJamWw4VBaDRLEgiBSOdrKRdaOtcWmBVlqkFUSwdZ1hw0TCqYWYRkel1/7Ou79/3erSgX9G/Bzhxgr9MKEfxnT7CUEIYbaBZ/5BBqWsMmfMIVsPgT2s6lvrYYsRFhdvweKjoF5bZCULtR9qwN4FYMs8uBwFdz7bb6i3s9fSDLV3FlyGNuaz36zwytFS1mOqUSLNXOqsBrvYXFyUKRRY/E99jGhwUajdSV0Ua0wK7BGQS4zRhH2H63f1+K63dfiPn3DpGQ1GEwlJz6Qxgsz8Z5HkMUIK9qKzkjsoecCLtRl7p6uKsmCzbKm1qWtiC+CWViDM0CIUssDsRXMhTxRlYM9dFyOHJbOD3dgyz1trmV2brIJRDkLzwcoWxpJ+IOn0Jf0Auj04u2S4964b/9lN117xY3q6fLxeZeXbS7tWufbyiMUVj8OnXS4spiAPI5uVK2a7D2fXppi9GtRhD+qyC2n0YoJGrGVpsveFLTOKgC6COrOUitp7APSCJFEF7a0GOz0UNqJSdo0kySsFkwG4HR1x5ILkk98ok85fSdl70Llf+EzFtrpBVeSaQFMU3wxkyajuzYuthiWkDMdP58C2EpMoEpVp8UTzvfd3+dxjZQ6ec0CGWCHpJw4606aDgD7JrlySJ35y5i5IJ5u+t9lsrPzmk4XnwZE5IXnQaHKQZ6n9Eds3ly+F50SCyv5Nvq2iStJG6DjJRmPEFpVpc5lJrGLlZcrwgk5PcnHRcOhszEIzIYz6VKdWv32xeaquj58NaTUjTp4M6SdpgYuDQ62Sbl0XRSbNJr0Fk+dAX7tT11pwD/V1DvQ19qAcZcG10mS4B89QjuSbTeVBZc7iag248+VNZ6OHtc6G5ed+t4pRMkZlDJ6omC89VeHg0aH2lkKm3vegg+bNamiGGczh+zzQHCHuwuvRBuQRT7wwkUobkdamyGEKP4w0ey4LeO+dHY5/0iNMFAhNIjQ9IdBJpn8HgW7uqBRsQoapc2tzXS5Qdsjo+WdUxRVH2HSo6kCOpP/OFAE98L1FFnSOXlOTg92IQcFYkqTkEQ3MiuHmB3nmN06GJbRhJOiH4HmGG/Z26UYxrXbC1tkeM+Md9PmGR9gr0e6Oc2aujMWyfkJQrSh8Vw3KYnOg53vJwxrvek0qffi+yNSjNuGI+/CWALeXsPiAtbMToKW9hMWHTD7U3SoPImVBmsjh0HylEhwn4sRFxX/+bI2+dMgnaA275rMVZNAEPboh1rAm4c9QJ4U6eZt54XkL2zBlX9TgYqQ+JTGaOHHwkpi/+0CHP3mszPELGlSUSRWHnhCoXJ5kenwQbK4Bee7NW0DnNxxpHaIiky2sZXCDtAIr7CB4zKWnMbYgO9dcdzOULsPrXHBmxDDWKuYRBhvoxmkJbRBBFBkSA7WyYsNEBbAcCgImqrB+MkYrbSiXDJdvsWye0fTD1FOWMp18lNblSvqBIYgNSZwBPKPxot1X3CP+zZh68GUZZb5ipkusBffgfUGeqPy1KYB9lMH1iL+d6+ycyZPRQ6Ys7uiQVmj4jS/UOL/ggdKZNSgzeWJHfO/B64IUGS1RGN0+8C1keIG988aDYo9mnsKXg2PQDCEVSazZOB3w0fe3+YXfdWlG6dQjayWBUaltmOQj5CzpJCZbWFfs4HMUg0+V3YXFm1BZm2U202eTsbrJrlG+spuBNEqBL+yw8GskF2KGZDZKbPmqD8V6PWMgzna96IeGXpAQhobEWFbbgguLKfAXWrB3b2qQ6D0bQ5ZWIlb6XW67OmClWaEfqqyzQtLtK1Za2ci0QBBLk3VSFPxeIS4B8VqWLi7nrPl5WnFWZPJLgS3FENhS5kFeDuh8NopFaZOx+BDQqRwZBbzKhkzmz1pFaC/iMw96/PqnawTGSeWJUAN5MmgqlqMXZkR3i9zuKsL6zSFuhwRasAqLoM9T9hZjzCC7OUjhm3QrcF/H/PgHOxw57fLbX0q1eDpVTNI3ae+mTPLPVSzAylecYeq+aFdaSwrqHNw2t/gyLzuTDfmzKVxjMyCyYbBLJlWgIFlZgxe5BhtiGLoYk+7F2g8MrU7MajuhFxjCOG2X7EWC5U7CZRt6rLQUR8956MUVn6OnfR57QVKvL3H3lat0en7mP2rOLJTphxXaPYVSKQIHGpzR2os3BTUFZ+HNmE4Ml9DRu7gA8sIoYpVvOlVkbblGngzYusDkclgdOPocZ753xEoD/uQbZRpBDu4U4I4cTtYqypNRTSkGN+vaSrmRdrWiPCkEmRQclKE8ybp9Cp0+gzpxKVFGYYwmTjRjbsIDb+/yuafKLLcVyAiMIiLV44NSVlG0C/lTmTz/rKqQFMrrU2SBzYc6PGdwCpnN9H1eKiszeSSMLZDBaIJsEBgXJMpAg5tUJvfDhPnViDNLkl6YavJmkHDXdQ0euAem1wmEBi1EQtVPCEPFV1+EjVPLWFyMdWh2NV981lJWPr5OPUqlLgWyfBPZQQHgA1l6yXt7yQ0xHEFQBHT+88I23UWQj4A9A7e0mfQYBphD5s5Ze8jeTjnmwUd9nt9fwhS0d9rUkMuT0XqTQTlogb1HLMLC//bmJJ6xZ8EqLG6DXWyGsMWg00qUHfriceKgTcytV4W85+YuH3/IBRWmZCQEgdEoIVAZbHP5xGBAzxpNnvngyqZ37CCNL4cyyopUoqRaXGSyZPRamsHrYj04A4mUg3qAjQLIBWKE2Qe2sgDPlVy22XLNFct85ilFs5s21qyXfd51cwfPnaQTCEoatNKWqXHLj7y7z5mG4e/9h1mk9PFdhUCytOBw1ZaYLevSvSKHYxlGnY68WH2gOQssNlitC3q0+N9JYdew+SigB9t0ZxWOw9nYOXObTL7YIbgLbkmezFEqybR4BnKZuieeE3H8jOR3H6wy13bT/a5lOuhdCYY7NqwNjC85xAjg/xR1MqK/i6Mk1jYjF4NNWyzCStLscvqcbn+yrpLwQ+/p8NR+j+PzEkQEKAySvpCFTaRgtIx29IYbzkjN/n8+48Zm8tAKrLSIrGbF2pRt7RpQy/xGEkN8jNzeYvj3h3gQGcsXYjg57NbSWlD2YOt6zVWXuezd3keQbiPj6B6///UqX36qxAfeDpt8izaJwlWChZ7gKy+Mc+T0BFNlRcWz1HzYvd5SK6V/Ucq0eTfvcyw2u4oCG/wZBsJQ+o3IluKyX/i9g3rr4m7Gw/3oVT5WbOR1MhgaOUjoDIAdo2SCzmxB140IEsN/+aMaT+wrpV9O6lR7S5l27Yjh/JVBM0EeABfZ502YvAid4nm5NIM5rDLMpcBo+WyxjDZtNzO5o5IYYqlRseaeG0J+7EMtfva/uASxTAuEjCTOXBVp1nT55M7K4IOl4FWFz6dkahWq/KYUNpUkWZLGZO+tGK3zNrnWfwtMiJHbaHRVGbB2VqinsjY6KVMl0eo4HD0zzfrJgGo5pOyH1Ksd3nljyPxcQhxLlFDo8w3D8rLl0ac8Lix53LRNMFYyg5FmJU9SKWk8Tw229EjLTtcAXFx6h67d3XYtV1yqy4t11cVAMxv0LtfobmkH3d7pttmmoL/NAOQDWZLNuB4ElzLGcWO++aLD554oE4QOlPRAew/YW1461OeSktiCLCkCOteYb0bfxcKmwbaKI+BOazVskb3tcJ64NKlUyYEex5pSOeaBe3o88kSPr72oUtuQ1JKIhKYHA4YUNl3ai0yaSpJRTZ4mO/NgM2NtkYamNvvuA6Dn5yNf1eHN0V38/gOEDxFSLMBTUqCSzHok7d5qKQFouj2F53q42lAtV9k61eZD94fUp7qMj3fR6+sW31ou36CZrfnUq2nmKDHph3WdfBtrge9ls7P1sNZDvRW4YSQazzXmm0+4KvZxjo4gGNRaF/dRX6u7B0A2BeYuAL0wzH2gvWU6JXa1Y3nwqTKHL/qpNBFpSazItbegMEHqUp05WHXyG3UE0H/2WpbacGJgyY0eYgjuS4YDDdP3UiqkSZBGEwWay2cj3nNXh+cPujTDLP1qUj0eosj3gRgF9xDUasCvqQ04JPfUbVFZS5vN0vhCMAR6jgdbTAmIDBN28J3tmtXrEnYv4EpnzS1JVqOT/pt0K512D6RId9ZW0qVeK3Nxuc9m4RNaDx3Fqf0yNSbZuUkxOWZodhWLK2mxu6NTYJdcmw2GH3akK1XU3XZwJ+cjuYwZloDmWajinbv2y4xIlEyHizy4U8Of5W6JHAxmL4BcrgkoZTLynIPb0TGGhN97qMSvf7aKFTr1vUfYm6H2HrEGLwX6gLlzl2DUpnhT9hqp5GMNqAdMfmkrm8nT9sZgEomRqS+upCFKHKQy/PgHuhy74PDrn9NE8RDkBkEgZJomH/x1kbHnm2hyaSHJAT5kWlsAuZSZbCkAvRhj5buhro01zMDzH3WThpggq3uyaCWIY5FNULPZ5CuFo1OMLa1GtLqGyTGF6wm2iXSok15sG6Q1XLWrw+xUizdOS84ujuPKMmVfUPKg5Bl81wy28nD0MMBLawSGtpMdRPqk01KtzAa7FBts1zL4ENhDDW4LPvhwNFjO3IP96XNwqzXyRI7uWa+yvWdSDR7huBHH5iSfe6xCp+NASV3K3oOa78JNJ4YJnoG84tLXOcj/LA4fTP0q+t/kJDGcW2JMxuSyAHSZA11iZKrFpdREUUK1EvOBe7s8/GSJYxezDFk6s5dECHpZ8l4IEMYOfbi1ILcpyC3Zr8gXHJGl8MVokFkkqlyDiuLNXAB1kj9ndU7mTUA+bJ7JZtrEgjCyhLEhik2qLnzJ5vV9Ts63eOG4R6UEN17XYbzqojdMac7PaT7/tMLXmjPzDmVHcdUOS7UE1ZLB99JeuXyfmtxjzsE3vFjD4TX5nozpHSeQQmbbZ+RfIjuRBaDkaW8pig6KHQ0ws7+rBs5JYYuNAovLgiyRMnNMMibXOiaIDI88V+EbL2fVgtJJAb6GvfO+QSXEMMAUQ3+/qL8HTL4mwPyzHgM2H2QNCyxnUt95uCW6zAafZgxuhno8ERKVSIxQRIHm7deFvP3WHme/7BCYLDVoJRhBgiYQpEEn2QqcZ3CK9mWmyVVBXqjs11iT9lNamSZwbPa9rRiuyiP3Sr4a5V3yg5GAaQKnOAnt0srVbJuabNxeOtItrTws+4Ldm11u2O1y4xWWKImpVVy6QQU9NrZjtdmMH54oj3/n8qpi7ybB1Lhksg7j1ZhKKcF3k8H2eUVdm9fmUmCc4l4zUSQJY4UQKdAH3zWrXxgsRYXIuThcfbgdSHG6qS0A2l4aWGbA1oX96/NUvJRpp450Yx5/0eUXPzZGYvXQOZHpZ823TFEjjJ0zeAHk8s3Z+8+RxBwim+HyvDZlX5QrhqHks0ZgxNBRScGeMnpiFMJo4jjdX+if/EiLw+c0j78gMa6A3A0XgtCoQvFVriGGTG6L7koOepEHnTmTM/h5busVwTniHNlsAnE25zKKIcxmDkaDCcViyOQMiSTfk8zJds3zHPDDdC6mMZYw0kzXp5iqR4SxoVqZfXj3ZbtX9UsvfHJeSX5u3bT6zk0zgj1bEqSKUNLiuwm+Fw32ZHcGboTJmHt0KUuy6D6O09G/fanJSxytSZczhBgWaV5iEw7H4w4kycASLM6lNgVb8E0ck4FzMnRQhiwec3ZJ8mufr3LqvAdlPWDuAXuLYVq+mLV883qTSxM8I85QDqC1QF+rw3PPm6GTMgzU1/jiBX88kRJpLIlRSGOy91kCKNJs3xDy49/Z4cRJl9MNkXrjQqRBJ4IwbYkYrTIUGZMX3ZWMxJQo6Olc9WRZS6TNZqAUXaSh6Clq79hAmEAQC3qRoB8LAgORSfewz0Ge/3sls72alMVT4GtLSVtKPctqO+bsgkVIxa6NhqlpxaPP7fu5x557aV7vmI1QStLphVxc7nNoznLt9oDts+mmTZ4T4WS7ijk6XeZlYQcBS163nHuy6S5h7Z4HXS/tzIgkeVg9TDDkALeFwO2tdXcqE0zBQXkTcMs3sQXzUtjsdeIm/O4Xxvj8oxWsn4IamepvIeWafksu0d9vZQ+O7IW59rGWyUapYdQuGwB+tNt+bYePyeYH5ro8HxhkMqkijSIRGtlLeOC+HgdOOPzSb2pCLx65I411CGzeuJBJxoSB9i5qcpsvudgBsMmZXILN29NyWyn758Xvl39Hk1UFdkLBSiBZ7UOUGIxJMNak1ZWmcEIEgMyukcz2OFXZtuyGHes7XLMtJI7h+IVJEjQCgz49n+qa5Qa8fFQyt+IyVW1y17VNllcF7SBBRIYnXnN58jUHN29jJg19lbR85F19Nk4bkhiSRCKlZqLqoeQYQagLAVOWFRtc9+GyP/S9RzX38NmMPL+p5h45ksEhBzUnCV97weNjX67QT7Ip+CK3BrOsZV5zMpBHb5KaLwKdt2D1S9TJW2mVzCLMJUABCPnclLUltFYWrEJZcFaESms1ZFacJQ2J0XiO4Ufe3eGZV12+9nJqF+beOCkM6Nv0Sw+G0ZoCk2efTaUYw5o06UPO5jnYs18LNqtFycLtEUeFQT1MZATLXclqGDEx1saTIdYkmMSwaSbm+9/VQ0mbQw0QOI7gidd8Hn8tLano9ByWlxV3XxvywN2CC0twYt7QCVMM6IrrIYRgZlxxz9UaKRXX7nQ5txTzz39rjEMnawitmG86LK6qYbBtDdYYBAlffSmi5KZXxSSWejXm7bf0eOCOHlJUCUJFGMnBpNkRUBTmS+dVgpfq7uImSENLUKp8U6Q0UylHEjopYw+kiY7oBvBzvzXGifMeVg93Sx7R3nmtSw7q/7u99w6X7KrOvH97n1zp1s2hc7e6pW5ltSQkBEpIJAkwJhgGPOYzBjPMeOz5bGOcwzjAeMbYDNFDNlmIJBBJVgQJFFuo1WpJrc65+8a6lU6ds/f3xz6pbrdEtsDzneeprrrVt6vvrXrPOmu9613vYknkZgmIl1yO+4D8AxLy4hR7FtkL+XguvtJ9acoJoiyZKA6lKkRxCxErhLCRoWLNVI8/+fUFvvsWj8WOyNKU9CePpU1XFdIUiaEHpaEQtUqe1ymIzd/p5ENNo3hqSZ4F8CXvU1rTgEC1NUODDV7/rGNcfWGTobImjsx7EHiwYkKBsjLrDK3NMobnnNNlZqGL40Zs2y340w8Ns2XHEJ+zHLQGx/OwE8mwvX9uEK0dbGuaVWP7WDOl+dp9mq/cvYLH9lVwsXFtCCSsrpsioadM7mRyJtg1o7PBUxuNM6PZcShi517FVeeW8GxjsZUD18SNDAOyyJwsjd6qL+fue04WI3gR2HEB7MbjJIrh3Z+vsOVR33DeMo3cZqenJQqKwSRap/dLlY99FGEfe5I6OxWbPYWUrO9x/lQxaucDEEmnMMu7dT+wdR7Bs6JTSQPyWKJEcouTVEUpzjm1x5t/eYF//OwAYZyG25z6iJRFl6RZhQk+5kwTGU+esifZMLxMonyCaEEOclGgEkV2VTTdSd8TDNc1Vz4j4orzHFxngNRYP23hNxZTJs6mF1lEsZWMxmmGqgrXjrj0jC4f+L0GX7075pYHaqwda/P8s5YzNVajG0bYV1/9QqrVCvc+8CDv/vgRZrsBUU/gCckpg+DbKmvLow2l04kE7VDQigS9OK+abQmuBb4tCFybblOyY5/D+JCk5KcbzNJ8W2BW3vUD+4cBdxq9+9KRbKd6np7IJIrbfszNd3t8+PMVFtqO+SETzhtRZE7yrmVxRrSYh+fy4JN4EBb4iOIzYgmgC3cnfFGkDPvz8JMAW8uEV9b9TSBhaMRYWkitTG0UWVR9xetf1uL+bR43fc+CUkSmkDKqNyIl6RSuNhn3VSw4RQL4bP1PmsqQGa6KQr8jPZWkNHWdawsCz2Js2Kbk2Ow7XCZwe4bIsGPSVYVaC6LYohvadJJbHJszSSZjip4bMVINef1zQ371yiZHphWrT93MshXn0O02sCeHffwgYNNqySWbQrbtLGdrr/MdOCIj+aMYmh3FfFNjdTW9OLE4Fsbo0rNN17PiC+plM9Lf6aa7K42HnZaZ+qK/3S36qcCl4JaFwvIE/jt7Lo3kpqEj7YhH99i893NVnph2jEpMFHLvYvQujkydrKhcml4VYVzgvov55glHRin0N3Zy/jvxK8yie8G/cClHXgB7VnwqhZJmvE2kqYrQJlXpadYORvynly+y54jNjoMCbRcSLAEah0hLOlm6Qp6ypGlK+lj2g1zopEWfpFeyCHJh3lvbMnuffNeoIecaDpaEaskm8COz1c6KTZccTRRLFtsec4suiy2LKDJv9FLJtNm31OO72xbplX0GR0s0FmPshTZoS7PniMtco8pFp3uEPWh1deL3VjSYN+FlbjGmHUbI0Fi2ZQS8pfFdYQRavsD3pJm41sUp8fw37tvtkg0S56uiU567n/vuB7cs5txp3p1w3q4XcWRB8DcfrPKlW0top5CaiDR6ixOit7WE8z4pTUgBF8W0u0imiAKoC99zQvTWJz6XDyCTj4npJd1NnTMpWhYbQOaqaKJ5UnwKRRQrHKl4yWVtFrqSP3iHxdF5AZ5JUYgBS6CVQyQFHQ1CnQjyvKPRD/Ls101IMwNy83Mj8mCWjqPFClodiWPbhm2LJX5KSScNRTBrTA4csZlpWJk0IN1snVrItTqaXuQwVO2xahyCwGxctieHbLygdOTcU/S3Rl7gXN1qzXB4us7RWc/saElMflwbXFdTCTTtXsijhxWNjsVAYDpLfuJs5XuCwBMEvsRzLRwr1/dmUZu0uZOvgjbFZVFbcmJacmLkNmlIdrPy6O3YESGKr95V5uZ7S7nWRCa0YF/uTWGYuNCKL94vjdyFXLwI7BMCdjH9Xnos6fLpvsieTNRQTFFypaFMeEDHBwAAT/hJREFU2JSUJoyVQIh0vM0UnDKd41QaJSRCWESRwrMUV53f4ZqLW3ziGxZhJHLRjRJJ8WjTS4YOKIJcpJ9iAeSZ14p5HBv1Rh7BC/fF3zeKMDPAHZm8otnwYERVEUJoauWQ2WaHex6TdNsWlYBkBbtZdpDOgh6bj9g33aZerbFsvfetZatqR6bnI+zJZafwies+ssfzvHft3DN29f49s0wMQbVklIOOZTQogRdT8mOWjTaJxCyfuKNGM6wxVFGmq+SKJHqbyO27Fq4jTtCO9/Hd2fhXIfcWReHUU6UlafNG5Q0dmXYrIyKhuOH2gP/x4SoHpgt5t0indSyjlhTkW9KKUXvptoQ+75NCpt2Xroi+1OREvIsTgH5STvyE3LsgoU3mInUWuUEps6S1r9hUklhohLBQQhMrO4miml6oWD4U8Qe/vsBCR/Llb5fpxXmxmVJ+GpsQUUhPSFCbpyspNy4wi8dI9lmq5Fv62u8U2vSJaKobJj46InG1yi7wxvbDdyNivcj3djiIXoUVQ4qyB55nUh2zNU8yUhesXt7jjI0DLJ+cedfWrV/cc+ll/4/Z0TM77+I4Dq12mcAZZNWEplZuE0bGWSjwYyqlkNHBFoO1WT55m2T/MY+Kp/EsbSJ3H7glnivxnGQvpV1wn5JJAC0WlZbOAVwAd56C6CcHd5ZvF6K3E7N7WvLhL5Z5bKcH5TRiW8n106QmtsyndfqdYgvzoTzZ9E4anUU/x5s+PilbmLMoSwN6HrXVkobPkmKTAquCSfukSMxwhEAkWpVYmS3EsTBKEiG0iehJAyjqak5dE/G6lyxy71aXPcdFYSI8Pxm1tgnVEpAnrfmsoCjm56SldX/PwCouDVaKKBaEUWxGIEOZceZgZe+XYytaHYflw4KLT5/lultsFrs+4zVNzVcEnsFTN9JUyzanTPrY2sO3JUIZnscGeMlVp+I4AYf3d9m+7UH2HINaq8SKMZuBSo96tc1ovcGBmRbv+7rHl+8apdf2mKgrAleYWwJuz5XJcITEc82abMfud3s1whmVjZoVU5B05Kw/YuuEFdEngFumXwsTvW0rYnZR8M5PVLl9S2J5nObcMqcFpQCXQnpSpAZlbqz5ZO33E9WEeejOsH3SKvPEDKU4Xd9XfBYpxDRlUWbiJtOJi8Q7Ukuk1qboFEm6IsxG4jSqx0IaAAlFLBS0FJed0+W3XtPgrz80wFy7kGdlnUqBlpYBuSj8HGkzKBXDFkCeF97pQixNpERi8mM0J1Gk6EmBFCpp/BRzPHNC2pbN3KLP+FCZN79ogTUTB/nELUM8cnSAqZrFSFkxUILl4zF+aYGt+12Wr1/LGv9MItXOAT45MY7lLbvpgS1ffft3Hgn+4Ik9kgtP9VkzGTI+1KBUmuWuxxTvu6HO3Q8PUQ9slg8oaiUo+4JSUlD6noXvJhHcE3iucZ517QLIM/uGPHL3O08VO5VxBnJZoARlAdx9lKCM6EjN+79Y4YOfr7AY2wXWxOorLG2RNnWKnPeJOXYfD55ejovEQ+Gx+XAlP9JRAHcanYsdzaU8eZaaCJ2kK0vSGYwIS2bUoUlfjBGPiepKW8TKKJ8qTo83vGyRozMW//sTVdrFBEsm6QoaLU26YtSgIpvm0eRdWIpRnZRKNZYVEk20RJEphSrA2kgU0x4AOdOOEBWGa5LXv2CBM9Yc4z03NLn3sRG6PZeSB+N1m3NPdTmwyma+deTtZ535spu2P36I7FX+6q//gR5ub+9BfYqDde2ZqxVnb+iydvksD+9Z4F1fdnnXFyY4PD3AeEkyVtXUy1ANBOVAUgosAs9KJn8sfE/gu6mlssZ10mEJjeMkfHhqYWwvBffJ9SW2LEpf09QlSsBt8m7hKLY+4fK3H6mx75iXt+Izf0GTe9sSPAme1MmmtLx7mcoyU6qwuH8n3WjQZ7qZOjKJ/hUraVMjNe/vc/rK7Ohy+kwUvxb587mJUso2UeDjCzsqyRtmqUKzr4bITlpduAqZs8d3Y0brMXc+7HD0uIXuq56zJMtEa5EIwjIS8cSKQzzZ40JKt7Qoz69a5i8yaXDC7fdiC6UcVowKrr24xbplCxxtwvZ9Pp02zDccxgYHWDnCJx7acsddV1z5wjyCA/yHV7wQ1/N5YMtt7N/7HY61eux9uMM7rhvh2GyFsbJgKDAa8bIvKHmGDkxzbte1klycZDDCgNqzc1C7tsLNDOdTE/pk+r2vWFxCBRYit5TFZk6u9badmId2Obz5bXW27vDQTkFIJdMoblq9mRy26L+yhPc+wbAI+tMUkUSoQjAWSxPvk39xYhAvjKwVP/HM0i2L5kmrHp3or3OzTpFuYUiiZFqQiqSVLzQIpQu8uJHWIjR0FWeu6/GeP5jnDX8r2PqEDw55vx0yYlsrm14C8lgIvOzKkvikJD98GuXz318XrnLJVUqDToRVhuJM/C+VNDvqI+N3EkZmL2urY1MtedTKJV6weZHzTpnjHZ8LaXYrNGPF0Oh6Lrj4OXQ6LeCP+gGOPYDnl3jiYMBNdwYs9qrsO2Yx4MLGMU3N1wS+ybd9TyaUoGUKSVfiOWZIOUtJEpC7tsJ1DKDdbA9lsvQpAbllxdmI2VJgZ6AWJwN6lIBbsagl7/timQe3e8RWEdT5nCVCmtQkYcXy4lInnTa9hCLUJwJasATUxYKzCGdRiFpPhuyTP5XNr54gvioWnfl++ZRVUUogEj5c6JQPl0l6ohE6KUKVKbRJqVqhsWPNOad1edNLmrz1Hx0WI2FAvnTdvTRq8FhZWRNUYSa43EQKmxbBfb9DCvKkg6XI5QcqKTwz++RYmz31iXtsJ7TM0uG2zWLLYX7RZW7Rp17p8Je/2mb/0S7HZiRnbHRZNlkn6jk5rNMHQ7USnld54srNlZ1V7LWP7FqkJquUXEElkARJAek6EscRRq7oSNzEBMq181w7vblOumpQJ4tVi2v6ioY88ZLInT82l+U8WkupkCIuRO6IlhJ8+EtlPndzma7MW/DZvbAgSSFSh1i7aAHBiV3L/rb8iQ2eflAvuQz3MSZPjvCTSWYLGDhhODfFV79WnAzkqhDFU0CbKC4zIJsoLkFpZKI+FEITo3CF5uVXtti+1+bDX6zQ7JGDXCRAVwnJLTRKWoRaEAM9IehpjasFsda4WQdWoJZ2YknmMVUC8ow2FESRJrQVTmh21ruO2VnftAWuIxLywqbkuVTLAWU/YNueRfYdrRFVxnau3Vh9otnJ3/MM4FNTEzx43xe+NVh3P7nQHf+T/YdhxahLtSQI/ITTTlZkp2v60uFjs0E4XfiULHoqFpTZdmHj7uqkRaWdTNykM5RWnEftRPtt7uME7Cr72oioYhZDwYdvLPO3H6xxbM4xlaNYypxIhBC48sTofTLeO7PBKHyufcBmSbpS+Ls+tP4Qc2vFtKToPHBCu77QMOmP3GRsikiktUKbIQidRm9SAZjMG2wYmwchTEtfYBPFmvGhiD/+9QXQ8JGvVlg03kFJBNcYPW1yjwJhEccCJSQ9Kehp6GmItKlzYgmOJl8sq8lAnZndJ1vyelG6GU9khIRjCSy7iD1z7zkWgW9Rq9iM1mBoeBQvCD75lW/d+q2XvfjaEwEO0OkN4rjB19q9yovWLmuePTYAlbLpYlpJUQMqK4CWms4XO5D5KpF8yj3dIJzuxUkHE4rjZSIdhctArpLok6cpUph/JzzNl28u8XcfqHJkzjbgLkbw9EaxY5k2lHjS28ly8BNG0vrylP6OZjoA8YPhnZ8PJ7NOMH8nsr/sj9zFnT5ml07KrmSAVxgAaxBaJyeERCttBFk6AbewEFob2+VQM1GP+ePXN5hpSD55YwX89Bcvtigl6DjrLWghibVx0OopQSghlOBL8DTEUuOodIuDWVduK40d51s6srXosrBMQaaLzHL2SmCKb9cWlAKL8aEya1e7Dw7Xql+Le+2+968P4M+46HL+5u3//U7fEvetPSU6e/VEk0opRiBodR2abYsoMlu/0oo+7z4WVIF9Q8IF4/kE5NmK7IKdQ5qGpFE63e6WXlqliM3fpSmKC08csPn4jWUOH3fMO7mEDjRfm9Qk1ZoUt5BZBd67z0yz6JmYRW+R9UEMpnMAF7+n/4kfAeEUUpMU8EtpwpPcpwVm5setjE+g0BKR+ndrMpWh+TFNqqKyJlB6Kmm0sIhCzcRIxGte0OK733fZedAxTYP0B1KpHlaCiAqPpfn3wmi4QykNyBX4lvFXj3U6cIxZe5iyUzK15TM/X3HgxEqiik7+XaMjaIfmhCu5Iaeu9KjVe/cdnfnWnf/5t/78yQEO8NLnDCCE5OCBXXTDozQXJN3IZmpQsLpeYrYRGMliMq8oZE5VZc5E2aVf99F+fWtD0gn3ZCghAzgG5CT/PudUc+BLF3Yesvmz9wxw6/2+uRbKvEuZ30wSnRaWTgHUVl/UXgLopQ0deZII/aTF5U926OyPgrLwZODO2BP6ozlmE5pOWBaVaFSEVsnjwnMqz8uFkElEN8yK6miuOK/LX715gT99T41dhzD5eDqMmbb1i80AIbPPQAubWNm0pUUoBR0lKEnwdeJYoDRRRrEmY26F+NBvwGqejxUcbwrK1Q6Tkx1UFBNFMNsbZ3djFUqpE97PEwA+uOxabMsKb/puxE3feYSFtmAxhI1rWvyXl/QYqEh6sUi6kKaNLoTOo0RS4aeRIu1CptsVDMB7fUufLDtCSAXSKMAyOilJ9dJ+GZgMZM8xmz9/X43P3RQQCpk0c6wTU5OkY1mcki+24/ujds4ZF4GevelLwJyDuvjNP52jCOYc9CIBfYKxvnlNkVN1aWGp0wFgQxWaPFxmYO6/10kenlCIyiJG4zsxr7iqTazgT99dY+8xErQlKxo0ZluDTmApII3mWloo20ZLm0g6xJZDT0u6WhBIjZtEdCs5V0jy81gbRkabVzLDxlLjSLO6xA0i3nhtkzNWWXQ6ATMLAu2u4pLLrg6Vivj7P/oBANdykpFR/y2ivGZjvXbosnUTHaYXBK7yOXi0y/rlLQbKbQKvm1ye4iRiS5Ry6PZs4sgy0YBUa5IueDLg9pzQTNkQ0e1pvnO/zeyia3w5kiOONJMjMedsChmuJB+WhL3HLN76ziqfvykgTLsvLI3cVj/nneV2uRx2KdCLzZIT+e6TFJZ96Up+X7xlf/dDYL+oN+l/PgX0iY/7hFiQ0ICGPclAr5LmTMKJm2iepDDKdF5TXtycFAnItSSODOv1que2sS3BH76zyt6jFkizKW2oojh7U8jUcEwU5z+zlILZRZvvbPEJQ5c2Ltpy6VkukWXTlZKSAi8pLgVmT09HQSvSSB3jJ075EYJYW1RdyYCrWDtoobtjPLrL4vhszLqVNuedM3XbyuVTb0G3TnhfTwD41HjA3d+9qXHhqaXHSiHPenzfotWdKXHaKh/fiQn8kFKwwOxil49+w2PbHgcp4HkXtnne+R0GSj6tjm/EPuiseZNuL/PckFiFPHFI8OmbStz3mM99D/vMN4yjlPkEFTpWDNYjLj2/zRte0uaCTSGNluSP31Xl898KCNN2YnZZFBRzQYTos4Do2wB8MnCnX9MP6mKDJy8mC38+BXj7pn2SxyfltZ8simePl6Qqyf+eb0Ur6sdFIvYzYCcDdq4jFyplU/KWvtQpf55EcyFNbh+bMcSXX9UmUvCH76zSaAnOP73HG1/c4tLzuwwOKHQkC1dumF8U3LfN4r7HPD79rQp7jwS0Qx/tuISWR6QtfC3wpElPOkrQ6saMV+d54YVzPP/CNkJoHt7t8ZGvD3C8UUFonzDU7Dpgc/aGNu14kXsenYgHlw09tuvwvzaee9VVPxjgYM6q/UcW3nzjPfYFrYXgnNNXOmxY2WN8eI590wvc8bDNp28ZYce+EiJZVXvTli53bZvmf71pEUu6mZY83fvuuyGO12H3Ic3Hv1HiutuqPLqnBDho1zZ5dPrRqgiskEMLFp/9lsUNt3n81qtaVH3N9V/zCW2RA5o878vu6U9N7GLUfhKX2JMOFxcaPEtlsH2PnyR9OQHwP/hbMnDnG87oOwP605FkIEKkEz5pFMd0MJEIVMKomOiNSn/mtNA0/J0SaZGpCo0kC601QikcoXnFC9ps32VTLSn+66+0CJwYHUmijkusnGwwGDQ1R/G8C2Oed2Gbl1/a5vrbAz7+9So7DpbRjkI5Ph2M44IrTPEYyBZ//WtHedHFGtfx0FrwnLMjnr95ms/ctshtDw1ycKFC+UCPoZrLees91qzqPjTdnX1zGA+d9L08KcDPu/AqPvaJz8Qvvux03Z37Hqsm2lQr83xrS5dP3jzEwWNVPMth7YjKdBthVOboccGDOxzWLzP8q231sKwY1w4Rss3D++CvPlDni7fUwfXA9xCWjS1k1uY2Us8YYgtoo4lptyU79lo8/+KQkWHFvvnCsGwf0JPURBoprCMKBj4FUdUPsoQ4IUXhxOd+IgT/oH+qC08kj/sHItLVfpz0prTOgJ51OFPaENEH+FSEpZSRJOtkSEJqmai68x/j6LTkyIzgvNNiSoFCdwVRzyGMfHqRQxTbpkuKeT87XZOarpsK+bPXtThjTchf/Z+Y7YcU3RiUCIiFZYxcEZy2SjFSG+TgUZ9ebGXDLoPliP/6kja/fOkMn7q5y51bBpi7z+OJwzVePXqhdmwZv+B5z/nhAQ7wSy96LioOeXzLI+w7/CifvNHivu1D9LoBZ06aAiR7EQsCV7ByokazGTC7sEg56OA5oTGZL3W4/l8dPvqVAb75YB0qAdJ2cS0Lr6DJBuNs1IwdOoCOI4hDXnhph798U4N1y2KOzAj+/H0DBv9pEiEKNwxfalMoLAuTOn2LW4sRWxYLzfxx+nonYFc8CZ6TgumneeQvl+g7sjUiRaqwP4r3A90YoBqGyoBbI5NWe8qiGFGTEKqQw6dMCSgL3vfpMp+8scR3H/Twbc01F3fQWIQ9j07Xoxc5CcNmlILG/DSiG7l0Q5cXP7NNuTLLh78S8fmbLHolBywLT2oGS4pBu8zDjw+yuCgIvHRkzRy+GzMx3ObXnrPIxpUzfPnbFRpqXXN8xQWfKZf8J33vnhTgll3XSnfedbyz6R8+cuP+gb2HKqwelozWBKXADIw22xHdUOE6goGKw+iQRa+naXccAr+LkBrXCdm6G/7ndXW2bBtCVAJcx6FkC8qWwreMHVfqMx4rwWJPckxZtGO49pJF/u7NC2xaFSG05tXPbfOFWwLu2x6AV0RbEsWl6Mu5i3OWJy0slzAqS2nCjNoWnLR47Ad5Uvv/GJG8yIGnX/fJZ4s6cTgJg1KI4CpNQUTWZUcY+rBYaKLy1Y861a5ImUzri0x+KxzYst3hM98s0enZbNvt8NZ3S7Se4/nnQy9yWWyZBQJZj0QkTT47xnV6xJFNrCyuPLfJUNDg0SdcthzwwHawpKDkmq7lkWmBlDb1qpFad0JBs22C0u5DAaP1KheuW2SwFFIeWTu9Z+9D73zR81/8pCHlSQFeLgm2PPT4p8oDG/78lInvD2ycDCn5kpIvGKwpxoZa3PkgHDxmUy7ZDFQtqiWNY6dWEArXDrFkl7d/rM73dw1CrUTZsak5mpKlCBKnUCdp/act8koI3V7MFRc3+JvfaLJxhaTXdpFWxORIzGte0Gbbbo+2SlGW87GCPHqnW9Fyj+/izp8ldCEnj+QpuCn8V0UNSvGdLZ4AP/ZxMgGWNj9EbiAvyHxK0IXIXRwNS+Yp0zMiTVO0RCiVsCdp21/nY3AJqFNDbCk17Y7gX74WcOi4YyTI0ubhPQF/9H6PXrTA5nU2swtl2l07G3BIm3qOHRtPE8dKrLQFm1Y1ect/nOdX/7aEin162jYbjCPNYitibkFiWRZONWZ6oct3vq8YH7CpVwUl3+GhHXUmxhwuv/JUKpXaU76d9lP95bLJyW6n3XzTurXLrlPtx8u1EgwPwHB9jp3HWuw8OognXMq+RbUElVJM4MV4boTv9vC9Dp+91ePmBwaJZZmaa1N3NBVH4zsaz05FWsYrw7aM4b5Act5pMS+/0mLFSI2FhsK2QhwnxPO6PPuCDss+H7NjXxKq6WdO8gieT8cXnWKX6ryLXHgxkvelJyLFXxHCxWS5n/n4WRxZ30ssHWMTWeQ2qDTfW+x7pIBOY3qaqsRCIGSep6dDFGkTR1qw/7DFd+7x6US22WEjfXBdHjk8wD98eoBfebbD6EAZIckEdUZFGuM4Ci817UmuDLYFV5yzyKuvmOPjt5ZY7FUSrx1Fs6MI2jGBLxkZgDVTLe7f2eah/VXGyg7DAyG+p9mwYUVTa+tNA4PLuj82wDvdeXXaqWvusV0W3vHeR8rrJ2BytMn/+VqX+x6ts2LAY2zColoW1CqaasnMbpaDLtVyi8/cIvnrj44w2xmg5tsMuZpqAm5zwyjEknvfNfryWtlm3XIH3x7i6KxL2e/gewZpjh0TOEZmaz65PInOLSCMWjC9Ld1vX4zeJ4ymnYT/TvF98kbP0q80+SqEHwG88JQFbDE9MU5LhbQmLUILhafxFc//kdAkW45NQMi2oSU6bNPe12glEwuKJE0Rxt64HabCNQ9h+5Qdi2FPE7UDtjxqs2bKolYRlDyN7yo8V+G5Fp4bE0fpCnJzIgFUSoo///UmWh7nk7d6zDkOZUebQRk3wnclcw2LNcsC/uDVi9y94xif/dYom6fg1NUdnnHxsxYGhlffc3x6Rj3V+/qUAJ+aHEMK+3i7q19+7ZWbb40atzufuV1x90N1Vg67rByzGR20GappBqs9BipdquUOg9VFFjstPnvbIDunB6mVHYY9TdVTlBwInGTaxxV4rsBPZJB+svBqsCrx3Jhmx6HU9pIWf4RtRygzRl5oiORsdcp7OzJnTiyhzabfQrGZrSUsRm/Jkjy7MCVYAN1SQJ80Yv/EecpTvIQmGxUTyWN0PmBgwG14T5noPrLXS5pfQqjEZsLk43E2GaRRsj//hoQmlSJhqRwcy6JmQ91TVH1NN1RMz8fEyiYMTBrrR5JeHBPFxgoiUgIVJ5M6yetO1hW/cnmDb9w9x0xzmJItcVNZtdXDtgVS+kjGuOS0GZSa56a7ypx55iU9oeOXVysDx22n9JTv41MC3JIOYXMnz7pw5YHDE7M7//nj9566a6/kktMchus29apksKYYrkUM1roM1sxwcjtc5O8+XeH2rWPUSh6jvgF32cVEbldkAPcdiZdMBZV8i3IgqQTmEoc2brVRZBEpq8CzFpNjQVFzYsslG4llLujJB4pPXMfdryJcMnf5pIjrT1GeMkfRT52+nOyf/qBGUrpyMM3FVRLWBaaATE1yspdIBoMFptETi7TITEBeMO/UCdALi3kAiZAWjjAmT6nbWdjTNNsxliWTeU9BFGMW1aYAjxM/82QVi9ZGvHbxxgZ/8tpj/M2nLA42BrGkYXK0ionikE5oM7vgse/oGGsnGlxyjkdQP21nKDccuP+hvWw+a9WPD3AAx5Z85JPf3VMfqL5hcvyC26867x7Gh0x+5bsR1VJEtRxSK3cYqS/Q6S3wP68L+Og3p3DtgNGSouZpSq4mcMF3jUGQ54gkgufDyiVfUvY1vmeGJSyZfvBpCzD/tHM/7kRzInOHqnSu0hSYOcgzBWExVSkCnBzcSwvGIi2d4brAUS/FOpykW6mfWgbQ95+J/odPVsAWfxSS6F2ouU9ymAEFhDHbiZPCPqUJlVTGLEgLk67o4i+YCt/IZjpiBb3IRPFWJzI/SzZLCbGSmTxWKQN2pUWWstSr8NqrFojVUd72Gcn+hRpKS7qRptlVLDRDjriCnYcE23Y5XPvc89m0ljd0GnfuQZ71g+D7gwEuvNXouAmydGjXDnXH9V964Nk7D3W5aJPNyokm5aCNlIqS36XTa/D3nw340NenCJwS45UE3J4BdwZsx0wDecmUkO+aQeWSD4GvCTyN56QDEarQhEnUVxYJMnPdib0k97YyoRd9ET2XZ54YuYtF5ZM3dfL2eAZ4+iPwj1VsFgYszK3waunv3gfrXEOete6TP0US0SWJqrAguy0OWgpAxIYLN+ZAGqlkFsWVlqAttIqNrXDSYooxkzixNlvPwgg6oUp021ECK1kwC038UJJIHilBFMkkukuGBiSve948iEO8/TOwrzHAXFfgioiKK1gzLjlvZQfh+lBee8eq9Zccmp3vMFQPfnKAAwirzH3337nDD2rvHJ8859k6vJORwSb37wyZXYTnXxBSsRd552d9Pvz1KapewERVUfNTcCegTsaO3ATgrpvaTBS2uXkqWZmiMn+6bFRNmrm9rY86ZnrHTkVVInGoSnnvAtBlDm7byiN3mn8bcKdZd79+pA/WuRK4r5YU/cHtJ2NRloTporw8fSCKP0AK7JQYT9iVNCInloBmSh6VD0/olElJcvI40dwrnacoSUcz6lmM1mPOOC3ksWMxkYqJlSbSgkgZ89Uw0nR7IlkzA0LEyXsms05qrAyge7HZbxn2LMLITMtHSjKsJL929Sxh7whv/4SD9Dyef0GDuYbkiT0BR2c01z7vHFYvq71zy0Pf23HuWRf9UG/pDwVwgOVTG8Aauue5ly9+sTX9yC/deMdOvnDLCCO1MhedeoydR9t8/OYxyk6J5QMx9UBTCQSBK3FdkTjWCmzb+Mo5jnG+Ml6GELgK39Pm3o3xnAjXziW26X6dUMfc/XCJ49MOVFIbCGE2M8j0RmbFllpCFMGe2jtk0bqo904BTf5AF4B2gi47zZ5IlYDZEz882JemIyc0nXIriD5+nvz/ydI4YTqZ5gRJgJ5M8ph5ToXOmlEqH2VTBuAy3dimLCxlmeVOQyEXnN7l69+OWFARsdJ0YkEYmyVS3QjsXlrUq76rnk7SHZOXiySdEbhdSacr6YZmWVkcG/3Qqy6f4aZ7Gxyf93nW+grDg20+fcsshzqno91Tv7hxw2n3HD86/0PHjB8a4OMTI2j90B4467cfOnyL9fAT4y9aNRzw/GfEjNTbfOTzA6ioyuohxXBFUytJSoEkcCW2bdxphSCZqZPJAKmxmfATcJe8ZKObE+MmLqPGadToxl3b7Lb85n0l8IzPiRBWFr1Tl6ps9MlKBV/kX4vcl6Q41FAEtU6bJslzYkl0zk1v0q/6C80U8KSAfypsF4GcfHt+JdEn5usp0ItnXOHEQ6epSv46xulYYOlkWKEwKp8E26w5J4VEJotlY2luUdfm6vO6/J/xDguHfWIV04odgkjgWuD08vc83ZtKYupjjgTkMYSWKWwtqXFtSatrLCHCyOTkkyOKF1zU5p+uC/nS7RWuOt/j0rNKPDZdumHTWef/9u337dt72fmn/NAAt37o7wT+8i/fy8t++UXzjnfqmb3m4rPPWHkYZc1x471w8z3DjAaS8QHNYNWiXrWpV2xqFZtyYKzcLEtgWRLHTm0nDLgDT1PyFYFnfBADP8L3Inyvh++FeG6I53bB7vLhrwRcd3Md7XogPRzLomRrfEvjWtq84cnNDLCmj43lrm2lwKcvHy963fADcJkBUYgsxclsJTKzn/z5JzP+6TMVSunLwsxoqmHP94UuFYXppMPZP+WT7rQv7kXqrxlyIlRQvEKQrJRJu746m4mdHA45Mgv3bvWIhIUSNlJKbEz6l5+ouS9h/l6JRD8j6EXQ6SpaHeiEgrAns52qhoFxWDMB5aDFwTnFtick61afwjXPvezzzfkDn7/k/LN/FMj+8BE8PUrltWhn4u1XXfL42m2Pb/+Vd33OpdWos3JA4tiKWklSr9gMVG1qFUnZNxP1zY5gtmFEP7ZlrCa8hNg3m5QNsAMvwk86oZ4T4to9XDvEd7vsPQ6fubmCEi5IFyEt3MShypE5qNOdirZFFr3tbIA19R0UBUFVLlQimfguMh/pBotiipzaN2S6D50DLc1r8hTlJBRL3wmjnzwtESeb/C8YGKcceB+4k3a+zqO+lAKVDIXrRIabdzVlcoJrpDQqvjg2GyJiyyaKYzzt8Mor23z6pja7jjkoadOMPBwhsITInLYgXeOiEajc7SvrmGrmGxHtboxtCUq+RatjEfYMvdjrSWzb59mbOpy+apEv3VVlkZWfOeeszW+fPnboR4XrjxbBAd75zv/F2956Znd0zeiN//DPc5cNOKx8xiYJIqbVlowP2owMOYwPwcRQxLKxDpMjDZ44oJmek2YLhCsMZZgwLCU/TiJ3TOBGBH6PwA/x3RDf61Iptdl/POJ33lnnrq1VlOOD5eNakrKlCSzwkghejN5Z5LZSGUAK9GIkN1E180DJtByFjiBLBhPSE0MkUVCASD/EYtQWBdu2J7FuO8Earu8+id6ZM2++JKA4vZ+yFam3dnqfbYAAUlesojKRvhMq/736l96am0YzMdxj3fKQu7Y6zC9YxMIixja/F/2pVt5AM+1+2zKMWb2sCVWH+x9XNFsQRTFxbDqoUkiqJcX+YxHfe9in5FW44vz6t7cev+AV9z/44OLzLj/vRwb4jxzBAcoTL2f7I1tav/PGF4ePP3QdB4/tQRx18NxBRuo2E8OK8aGQZaNNBmpzfOkuwVe+a3HKuEXgumYYwTbR2/eMfiXwepS8HoHXw/e7+G6XwOtQKbXZezTi9941wDfuqhE5PlgeUsjEX9CMpNlW3ppPU5MU3CnQMxuCBGTFZVFaQSQ0PS1AmYIxjhOnJtJcXfQVnGAK1Cyaa51mtv1+J/SfHOld9hon48WT/lXmWpDp11XWvEk0VFnubQRLSVNF97+2JcwJrVI7OJ0Irvr+f2O3HEuLSGqkUuYWW8jYwYpinn9xh3cwze++S7D7iKADzOEYxiRbLGbycJn2JCyNcow1xNCA5sIzF1mMu9zwnTojizbLuxG9SINwGR0UIJvMtCLu3bGaZ17+0vA/rhWts8564Y8D1R8P4ACnnrYGpdXd+4+ccfFHPz4TjFU8zlrnsHxcs3y0zeTIAl01z5e+Bx+4YZxR38VJaDrHTtITTxlw+xFlv0fJNxG75BtgB36bHQc1b31vja/eWaNnG3AjbRwp8KVOzOvzIidnUYrgTo34c4Bblih0+cylU8Zmv2RIbtIeF+jB1Not+1ciH/QtTrbrpYVf+kU/xvsjaPJNBtj5QlyRANNEdJXZc5g98EYspbVExKbrGyZ+fqog1cm6uRrsbHAiLzbzPNw40crYyGZNkamIpTEFkkLjCs01zwzR+jh/8F7FE/tjOm6FWLvEyKSzaiaRrWSZgW2b91Ip416l4xK/eU0TwVHu+H6dx48GdEJFHIfYlsNZp1R500vnOBhuao9OrL5bpputfozjR05R0uMv//Jt/Npv/sUtfml1KW4cvODUqWl782kd1kw1WDE+y66jDf7yE2W+eucoYyWXZUMwNGBTq9oMlKFaVlRKEZVSLxNoVUodatUm5XKTI7Nd/vU+i7/7+ADfvHuAnhVAAnA7SU1KhcIyKy7t9F4kjwv3CVXpOAInoSvtdB2GbdZhxErTCTWtrqYbmaVbqgDaDJsiB3mez4uTO8ouTVUKXHwxXbETM6VsQFqa5QG2lfipZ0ZK2jxvGwAJAWFP0upYNNtmp02YRPI4ETgV9eN9p1qB9+9b5dhXB2hk1rY1rf4NK3psXNmhG/VoNmMac4KWsoiERBZ0POb3FEkdZBm1qJAErs1V57U5a/0cD+6RPLLfY7GlOT4fMzMvWbXyzM41L7jmH+sDzp9UK7Ufu73wYwMc4J3/62/0L11z6R0To47luYsXtzv7rVVT0+w53uavPjHE1h3DrKpLVozAyIDN0IDDYFUwUImpVSJqpR7Vcki11KZSalGvLrLYbXHd7ZL3fqHK+z4/zIM7B4hdPwG3i5SSwIKSZaayvWRgwrVIrOQK4LaTxymwE/7dsROPxeQ+bTi5rimC9x9XzLYE3R5GJJRNt6TgzoGdsw85c5IbCS0F9oksSnazCrl3llIlywKs3FM9k6M6hkb13AjPjdFasv+ow2xD0AmNDVqcFpypp3eBp093V6Yn68noyDwHz3N0c7WTgMWm1YorNnc4dWWHmtdl7xHNzKJDKCzQeV6eySIsEMJCYFa+W5bDactjTl05z4O7exxvxKyciFkxNR6Ojq55+9HDs//9lPVnRD8JRn/sFCU9phcboR8MvK3RmwgPHpj5qy07u/KB3Q6P7h5k0wRMDQmGazb1ms1gVVCvxAxUImrlkFrFpCJDtUWC0iLX3yq4/rY6d2ytMbMYICwHUbGyd1wgMl9vO2veFJo4GTASpsbqB7dtm8htW+kSoySaJ5HfdWDDiphj7QZb7ivh+TYlG3zL2EBrKyeezb4mjUry8n4bB5GxKcW2fvFY2p3sK8xSN6+s0MyXB6RDBK4T49gRntOjHHR4bH/AvdsnqPr5Farv91SgbJG5v+ZcuUz4b4GUEktq4uSW7fpJmj8itoz+REp6sUMn9PGdiGufEXHpmU1ecEmb625b5PqbRzjaK6O0ZRr7KaMio+RksYmVQxSXCXuSjcsFb3nlHFse62BZq9SmU8f+auMG/x9mZqfDnxSfP1EEB7j+s5/jj3/vV6INa0ZnLLv2poMHDklpSdqLJTZMSSaGXYbrNkMDgqGBmMFqRL3apV7tMFhrMTY8z87DLT5wo8s7rhvjnsdGiESFcuASeBaBJZNNDAInmd80haUpLt00JbHSxyKP3Ik0II3cbhqxk5uXSARKvqZS0gzXItYsb3PBxml2H22xbX9ADxuL/qjdt7tHij4qLDfF7//6pBG8L2rrhC1JPB8zHt+kIsah11hRe06M74aU/C618iJ3buvy9s8OMztrY0uVnGQarfJpH3O65aVt/9XHZOKZS1nfGvW8HkilAEpbRLFNGDl0uh7d0MO1HTauVFx4WptaucWRWc2ewx49YRtaNvNXNOvee7Gg27MIIwffFTyyF+bmq5y26VLlVNb/zpEZffDa5//yTwrPnxzgAH/0R79HUFsxPzFoH7Dd4Jq7txwXkzWP01Y5LBsT1KuagUrMcK3HcL3NUK3FSH0RIee5f0ePP/nwIJ+/fYLFsMZQxWEkgLoHNUfj20b+KiCTWNoJwN2E+3YtnaUkbpKe5PbOeVriZOBOO6gJVekrKkFMvdKjVu6ydqrN+afPcseDNgePB2BbydhbSp+JhOHIW/552nGynDsF9UkaPYnxZNZ8SoGd7B81vuomTXEdk5p4bg/f6zFQabPzUJv/9s5Bth0aZtATOInPSN591QW5QdLaSW0wskZVv7oyoy2t3F9SJnJaBChl0Q0d2h0zbNwJPTpdl07oUQlsLj4j5Ky1C+w91uPgnMN827Ashp0yI3KdrmK+EdNsSzQOZR+Gpy5RY5Onv/mZz1h7s2U58T+/9z0/MTZ/4hQFYMWqzej4+yEjl3zwxtt3l05bueIdY5WjnLamReA3OXh0mMCD8eEWwwMNyqVFwrjN+25w+chXJjnWqVP1bIZ8RdmJ8R3zIQugGwnm2tCMJKEGG4GrdR55RDGXTYoZmVjupmmJlUZzmQi9SKaIUiZHJTKBCMeKiWLJsiHN5ECTrVGVZmThSYEjRa5ITBYqWQVByg8y8kmPJ2v5pEajaYteZqsUdW5gahvpguuE+G6HYwuKg8cDHCnoxZp2KJK5WEPbaWQirkp/CEP4Z82YtAiMzL0dC2JLZHLXVImYDhILqdBKEvZcFpoeYc+Yd9qWwnMiWh2Pasnj3PWLfOSts3zwxjbv/tIY+xcqLHRtJiPzO3ajmD1zMRUn4vic4NkXrGbdVPl3dy8//4N3P7gjvvay038a0PzpABxAWGdx9OiR+KXXvuSJuaP3NB59+Prqg7um2bFniDPWWGze2KBSmWb7wQ4P74brvz3I/TsGsWWJySoMejEVXxMk42tuol8JY02oNaLTJQwlPdvGEYIgAXk6fpZHP0MJOomPtBF35cb92SYK10hyfScZr/JUokFXKA011+INL2pw04N1epFHS9r40uTrSul8/6MCJU/UfZ9AFZ7Awpwoyz0xDy8yG2YrnZNMqjt2D03IP3+lykzXpVQSRIpE2UfiGQlCpLoTVfgRUnsNkbM5iU4oUhJbqWQZayK+FYaiNM5kPRbbFs1OmcPHS4Q9iWVhUic3puT16IQOla5Dvery2y9d5Iqz9nH9t8ts2VVlz8Ea1oLL5lMkl58f88i+aWabEwxMPatx0cWbnzh98Wg8umH9TwuWPz2AA5RLAaXy4RuGBs/6z/c+3vzH27fcMbRurMfaZR0a3Xne/xmfe7YNs+eQS0sISp7NeKAZChTVQFP20hUpiV7clZR9yRUXLIBzmPd/0eexY0N0pZ9Z0uTFmEhotkTQlbImaWpim8jtJpHbtZVZt+Jqw0gkykVppWoNyWA5wiIkUjE9ZRMq8JQxd7fT7QQsaeQUIngO7Cdp1S95qm/AuaAH6c+HTSR3LOMLOduwiTErrmNNAvJcsiBT1WAC8ry5JDMKM6Ul0/EyowtRqKKJqhXjeR0OTIe86wvDEAUsqzuUfJmkegrftWj5FpXQJuxZRLFkoCI555Q2Z6/T7DzY4bvbe3zqpho7D5VZOebx6qsmGFtz2UzoXfA7t21t3PCMDU89gvb0AjwZ4T98rPEvz3nW1fZoufT2aP4bo2F8gPd/qcyBA1XOWyW5cFOLWx6W9BZtRssq2dgmKWerUgxtVw4EY4Oa09dKTl0NKyeO85//t8t0wyN2c561mNPalsCRhkHIpbkC1+UkW98Unh3j2ul+zsSiGVOQjQ8rzlvf4e5HIyLHpaeNgbtShe29akmz5ycdyEx0Jn0eiclK8+L+IteNeGCHxeFpsy1KY36mSJlI3ovygep06tiwhCaSi4yfT69+AjuCyC5y5znAXSdiZr7HH71/gJu3TLBpUtJd2WO47pjPzc237HW6FmHPqAN9V3FsPuY7369RcoY4d3WH+ksafOAriocPTHHF1Vcd27jp4j9Qvd6/nHPKxE8V3D91gKfHxGiVsLv44Wc/+5ny/ru3/90/fezYaLcxwHM322w+rcNcd4EHnijR6bnUyzBUldTKFpWSje/JbNK+UlLUqxFKaxptj8vOnWPNWIfpOWMxJrKir/AhWfRFb9eWiS1FErmT1MRzTEriJAuybEshrdyTXGnByknFZWd1uHtrnEywyKzVXUxJnizv/qExTb8ePcvD0VmenDVgkpPQ9WLu+L7NwUNmRbeC3Fw+hkhCT2pklLxq9nomkhe1Mak2J7J0MkuZa1nSVMu2FHuPwh33VfHKFpZULDQjLAm9nkUrqW8CT9Dp2oQ98xtVSxHNbotvb9M05yXnb6hx9nqH11y1QNtedWzTGRf+4fRM78Mjw7Uf9W17+gAO4HoV/v4D139QqfF42ehp/+uSUw8MnXHKPHuONXnfVzymZwJOGVHUK4LhAYfBms1ABXzP6C00UEpa+a6dXFojgVbpCFdO1aVFZtqeT/nuYkHpudrk2k5ybyscJy5MDeWjcaniWitB1NOgDcCjJO9W6QQ7J3Y40+MnmuwxP0Jfh3FpPo5QOI7xYTTdxdyuLd2gIGNzsqS6daORSdrzQiFIuW+Rv29JmpJaPKhCg0tKzPyfNo2kdlfjOXF25ZICfFfSrNiEkYWULq6jWDVZ4o0vXuS9X7S58d4qe444vPTqjTPnnuO/pTXzhY8sW/urPysY/uwADvD7v/Eyvvrl6z7WG10RHpmJ33fnti3V2x9yaS5U2TAmqPiaetVmbMhmfEgxNRJSLoXsPeLTbjuFzp0x0A9jTU9biXioODGfLylKU5M0PXHdQkHpmg/EczROMhLn2Ao7zW+T6J2Klwzxq0ArtFZmULbIljwFivsLyH6x+UkL0aX/vjCgDDnDYta6pFswEkVWYbtyWvxGscjmOPvN8iHNxTMGJVVbRoI4bfFnbX4zuqZUIkNwYroKo3mJzcmkNbS6EfuPmx2qE0OKKLZxbEnJd9h5YJCxIZdXP2eef72vx7rlGxptteq37v6+9+mXvexlP0sI/mwBDvD9Q7Hq6vJn6s5UZPnRxyy9x/uVywSBt8gDj5YZrDksG4tZO7WIEnPcvUOwbccYpy+HSsnwwI4TU/JCvvQdh137fAPegnw0i+BJ586kJSbNMTYVKtGcK7zkipBHbp3NEhqwJbKndNNuTGIRZaKUSgDzVEcx5cif63+mWIjqkyK8//tygJvJGyyNsASi0BbPhpFVMi2fqArTbWYp+2NeTyVcfozVE4SWwI4EbjoYnBabytyHPZtTVmhecNEin79tiG5slrUCVMs2558e8tD+Be5/rETjgE8UaUquS70Gd2xVBHadM0+JueD0VZ11q0d/Y/2q8PqZ+eZTmvb8NI6fOcD/8DdfxeHjM3Gp5N+5b9/hhiM+T93f5j24EwLfYeW4YuOaeRQz/PdPeOw/XOP0KUEYmeCUNjZst8PjBx1abR+/kkhki6NplsCyySK3l0RuI8nVBH5sRuOSUbgc1Pn0Se6LbSZMSoHg2Zt7fPbbPQ4taJR9knxbFB+exE9lKWqXyGhT4Ws2u5xG9ZOeQ+ZndR3NwUOC2+93WQgthCf61rPoJCfvxUCc7LC0UnVkQRGetOiNC6xFFEEvysFtpuBNqz6MLIYrFqdNdRBRh8VemV5krhaOLagEAa97boMrzzvK3358mEf2l/HdiIkRwfhwl3sejlm35szO1Njwa+96ZPCLOw8049e99nU/a/j97AEOUB8cxJMcGptcc+bZpw8++64tqz7y6K6jpSvPlayeWmDr3jm+dGeJHXtqrB2RjA7IZBA5puSH1CtNvni74GPfHCL2PMqJctA0dnRWJDlF1qSQd5e8mJIfU0rG4DwnwrYVWgnCxDcvVgKhFHbygUaxRFiCNSt7jNQiDs2mUXxJQciT6LlJO4W5kCnPg/Oo3ZfyqOJJlrMYS0FuW4qZBcGePS5KWUgpM9lwejUTGMu1TgJC1wLfMbm5VuYslQm/bVbLJHVL3K9CNMZLkl7Ppt0OeO3VC2zdN80NdwaMlASDoabdVRybsxmeGWLjMsFbXz3PF74TsuNwnZLvcul5DiumJlrNeOR1L7z2lZ8f/c6N+sJnvfbfAnqF5O1nePhm0DR+6N4PHX7D/1u7bnRw3W+85PK18+tXtrj94RbvuX6IueN11o0IJgYl9ZrNQEUzUAkZrjUJVZOP3FTjyEKdiiPxrdS9SvfRg+lAs2fn43AlP6aU6M0rpQ4DlTZDAw1qlQWCoAVC0+1ZyXS3TS+WiVGkhVYy4bX75mDMvejPsYuOWOkwRd4VPxGoKa2Xgrw4Q5k+/2R68vT/N3/IxGkqVVUaeYNrmzJ4PtQc7mgONQXTLclCR9DsClqhkQV3Q023p+hFiiiRB6e3lE2JlaQX27S7PvVKiV+7ukHgznN4ERZa0GjGzMzDweMeew4NMloZ5b/+kuYZZ8/x2KEeB+fWzS+fXP8bv3m5c91HP32dvvBZr/g3ATf8G0Xw9LjyytfzkY9+ktdcU/7U4eNrnId21v9h98HHhp9zVpPx4UXu2VZioGozVBOMDHSZGmkQi3ne9skqD+wYY6jkUHHNh5iObclCBzMVV7kuWd4deDHloEe13GWgYiS5h2e7fO62gDCyWVaXLB/xsayYkjbeHnEcE8cSrax8ZKbv0n7ieFbRYyUfOi4OJCcDEvQXqemu9rRRo1KznL6h4VwoZUietAI15kd2KkJLonTZAyklG9e1GRtboKdCrr+tyr7jNYZLNipp3adrHm0bwlAR2oooknkEz044SS+yaHU8YiU5c1WTP37NNH//WYu9MxUqvtH216sOgSf55r2SofIQV5ztcNbG06ePTI/8vzffLz7VDZu87tX/NpH7aQE4wOt+7T/wOmDP/rmPnXWubb+p8t23dWa+MHrHfRGOZTFQsRipxywfX0TLWf7pC2W+dMc444FNxY1phclIlq1Tr5uszWxbhvP2nNSGIqIc9CgHIbVyGykb3P5QyCdvrXPjHSOMDUiuONNBbnSpVyMzsWJbRG7CHGjZZ4pyMlDnTrViiWApF1YJ0b/3OE1HlEhuUhDHpp7I2v8Z8JcCvXAkLIojDMBdWxO4mkogGSjbnL8+4PLNHSaGW5y54iifurXF9x4f5XjbSzYwJKpF23R2e5Gi1wfwfJTNsYzR/UIzIPACXnJRg7A3y3u+LNkzXaJaihiqWYzWJaWgzUP7Brn0ihcee81lz3grKvqYsAb/raH29AA8PVYtr6P13IeWTZwvtjyw+HfBw3eM2rLLUFWzerKJ5czw7i/73HjnKGsGbMZqCteVREQ8flQx13QpuSYvlgnVZWjBwqynH1MKTGoyOjzP9bdFvOX94zS6Q6wbEawZ0QSOzUxD4DqmE2dSFJkxCHlhmGo38omXpZYPueBLJNJXwzOnQ82IdFkrSY6SACg2r5V6+MUFDjrzCdQym57PLibJ2pbUD8axjOd64AkGqpJ2p8xjeyw6XZcXXjjDczbP8pZ/Vlx38yS2dMz+yUSJ6TkKr6cII50YZZoT2ZKKaqlLo91l14EBoriK7yhGBwNefNEsyFk++FXB7qMBQ7WIRitmoDLGr73y0mOnbHzGH+4/wodWTDw94H5aAQ4gRJ3j070Prlh5dfSql9nv+OwXHxhcs+wonn+M933V4Rt3DbNmyGHtpMVAxaNWgU1rO+xvHOd/Xz9BO7TQ5BShkcEa+7eSF5u8O+gwWm+w52ibD39rhEZnkGU1wXA5puQZ67I4FsksYwps2WcfnFIjEn2iqX4G5pRTTq4mMvWBSfjj5HfWkOm0deHqIGNhBg1iiK1CkadOdGVNR8fSf2uJ4oibOdEty2hlmh2LuYaP59YYH4p53dULPPCIx87jo7iWTDTmOmuA9XqKKLIyHUrgxYRRi3/+quDYMYfTVlgMlG2OzDisW2bx4guPYctZPnqjZs+RMps2jHLKhotmn3vZM3/fdZ2PCst9OiH29AIcYGTYQevWv5SCZ86cf05z3WBt7H/ccNNR54Htg4xWHDaustm0VjA+1OTITJmJIYvVyyM+UmrTblSTPDLNvw1zEnjKFJZBl6Fai/3HW/z3jw1w96MjDJUtBksxZd84a9lWynuDziIniYVl4Uh1GxmgEjsHkUdtq1DopnSlMaQ0L5Fx0UkIF6kcNZFCSUtgxWDHCdBj46mdgzw1pk+4gSUjdMUtFSTNnk5X0mw7LCz6OHaVc9ZH/MXrj/NnH3E4OD2Ib0k82zS//FAT9pRZORKbn81zYxbaPe7cNkhVWoxUI7buiZms23TDgFJQ55zV8xza3GZs6uJebaj6liuffeETsbC/+nSDG34OAA4gREktzDx8w3Oed5l73wO7Wmec7r9H6wfEI09oecY6OPe0I3x3q2C+EdDuSrBs43iaaLONU5Y0rImnKPtRlnfXKgt88labr903ii88hgNFxdP4yVhXOl0PBas2yAfNsmJOZtbMRb/xfFAh1XTIrOBNZ0NlIqcNe0YEFfaMgb8l840HQghkZF4rc2CNcxbDdBPzm1YkOu+cusz4fMz/F8UQ9gTtrkWz4+C1fEp+hSvOmePqzdO8+8s+024J3xYJ66TohsqwKj3z/6NBWhrftQkkjNQFbqnN3VsFSlUYrLnsn51Uz7zwbL3+lFP+y6Le+JHHdx0In3HupqcbVsDPCcABakOnc9+WXSH22n85a6O6td3qvGL11LG/XjP+CF+/T7PtsSHO3yBxHVNZSmF88dxsO4QZPSv7hjWplTsMVBe48W5431fG0LrESEVTdpXxKHdFshconbBJu4T5JLmQihjQiU2Zs8Sx1lCTaYFbGLDIXHSNPNe2Us5P0GgpWh0THk1aZVrtKQNjSUFk6T7j+LjQOje+2hZaS6zkEpCzL2nqk1o0aMJI0Akl7a5Ns+My1wgYqUe88YUL7D56jK/fN0lgO4npqSboKjpdRSc0isBelC4eMDbJ3S48c5NHOZjjprs1q1eu4ZS1Y39WGlh/3Wlrlu2bWzgWji37+QA3/BwBHGDzOWsA2l/60hceW7vymW/bd+RBt6E6f7xz36y1ZsJmdLhLrGNcS+O5NlJB4EkCX1L2oRLElEsR1XKHWmWRWx+M+NMPjLH/WJ3xKgx4ilLiU+7aAtsRmRlQalKTKvZsSxGGim/e5bF9v4ftmnEwJx0A7vM7XKKFcSSuQ2JLZ6S5JU8xu6h4/EDMQiOxlHbN+BZopLBMsRyDHQvDSdtp21wmftoWsZK0uxbrlsGVF7d55EhEL3YSkJO05k1DJ46NKCqMBN1Q0u7YuLaHlIqpkZi/+/UFIm1z50MTlB2Jb8cErqLUiY0FRcei1XEItWNYHkdxZK7L4/tsNq3yulYw1jj/nOXvWTZ20duOzDwSu9VLnm4InXD8XAE8PV7ykpfyic9+Nn7NK1/75wcOHXVmGze9zFEPrLhlSzvQWKxbKSi5ksASVEoWlUBSLSuzbaLUZbDWYqHT5AM31tlzeJiJQcGgryh72myVSAaR0+aQZel8/lCm3HAMImZ6xiHuuPglUTAZyqN3H7ht46RrqEoyU9FqKWZqpEWpscieb5dYmPWYGtSUs/TE8NaWpYmkILIEPUtjR+aEiSJlQB4bkIc9m8FBydhghE1EL04AnW1SAKUUUawTL24D8I5j4XScbHh4xSi86YUL7NhZ5nhzgJIrMjlDKVA0WpLZhod0PHw7ZvmI5sKzYnYcHOHMgdNv6xx+6CXjo4FqhffFVz/v1U83bE56/FwCHOA1r3wlh48uYFnWn5RK/p+uXn3tu+9//M4zRgZnn3HDdxw7bjusWWW8ViolGB7oMTXapBx0iFWbf/mWzz07RlgxLBguqXxdYWbpZpbZ5kb5OgO68SAxQo5QB2CZMTknMd/JDYbytMRKCspsqj8Zqij5MdVSyOBAm5ZaYKFrc3wxoOrH+WBvYglhx6mHdpLTJydQGEncBOBRZLy7VWTjSoUUIT2l6CnDpRthlS48NnZuvdg4uXa6NkoJwtBIFM5ePcOrrp7hfTeWON506MVGgFYuxUzPSaRwOGNdiedsXuDAsWXR8rHyXZc/54Vq2dS6+y57zq90RkcGnm6oPOXxcwtwgImxGiS08WMPffZNv/v6jdUde+f/WW0tv/KC09pyaqTF3KIpMquVRWabTRxb0urBJ/51iLrtsG5UUfIl7Y4i1joDTU7hFbuhCicb7O2x+4jm1u+XkK7VZ+yZFo/ppgonoQXthCZ0LLP/00h0Y2Mm6nVxrBAVxzRDQSsUZo1i0laPI0VsS+LY8NC9nkmdwqRwDXtpmmJunY7Ns89qMjXWZtvBGp3IIUxb7HEaxQ0bE8VGRBUn6sJmx+borE+54bF2Gbz6yiNcd3sXejalWsxMRzIZa4TosH13jJRDXH7RpDq8sP5zR1qDb5x5cFfjjWf96EaYT8fxcw3w4rHhzFdy812PNayS91tXXX50R1U9dMb2/Ud+6ZYHd3PNsMut3++xY2+NV1wqGRpaZLDkMurBuuUuU6OaO7ZGLC4IaqWEJ+5bYZIYCdlmNMv3QrA6fP42l4efCHCqhkFxpM4MgrxkZtRzCnSgFAk3rhMtu86sHlw7wpIxQptmSjcShJEy6UWiq1ZaJ2NnpvlDmFgbS3AdYxIfJXl4p2dz+lrNKy5f4O8/McBi5FCPRPJaSW6fdD9jJYgiU6SWgx6zjZB7HxlgasTDtmoM1NoMl3uMBIJfuiLmsQNNDh+ss37FHOOTa2mFK7949rmnbb16fPSfIGwI8dOZeP+3OH5hAA5w5cUbAI6rzu4/Fd6LVi3c+jiXP2vFL60Z/y63fDXGFQGuE/Kt+wOs2GXVuMWGlRab1s1y1xOa7mxgtkp4NlbiQ6gSjs1sHDDS3IFKi4f2KT5+8zAIB6Hz6XPHMkVq4Jm1h55rmR0/BdI8/V6zzjof2BDCDE/0FHRjEnDTZ88A5uswhChKt6aZK0UpMuDWOuHolc1/uLLN1749y/27PJquQxiJfDdmwt1HsaDVMQyUY8e0o0Xu2u5x5soA3/M4p1LminOb3LcV4o7HmrEFHtvjcOrGy1i2Yu0XDy1u/p2Dx+b3jE+seLoh8CMfv1AATw/pr+aRXTN71q094/fHBqr/smp0/Lf3z++6lM4uGp1DfO27ZZbVHdZMGbuKvdPzHJkeYLAkGa07DA4Idh7o4TtmL6cQiR7DiSmXOjy8O+IPPzTFgbkKA/UuYdShFwcJ5y7wXWPcXqvYlHyzd6bRVChlhi0g6XQW8vnUPEdgAN6LRcJ0pEyK6Yq6jtGtNFoRUawJPHOp8RyTpsRKYFsKTcjxeRiqlviL1zf54w/N8sThUUYSRaDWpqtZK2sCr8MT+yVhZDMx7DExBEPDDe593KFacpgYqvKCZzR4YPscD+9dznMvO5fXrll3+/BU7Z9WrF31/RV09gjxiwdu+AUFOMDGNUMAO1Ssdwh5xtY1q26fPGPDae//7pYHThF6p7VuUrBmWZfdxxb41B0BnbbHqSstVkxIhgcbfOHOkFPHq4wOmmjupI5RbpP3fnWAh3eM8Iw1mmsuabBlV5uvf88BYRgS37OolCxGBmBsKGTP0R5P7LCYGpT4rmMaL6mVs22Gmi0ZAylvrempVNSUX0VsW1AOYHKkzfe2RRw4IhmtW1iWS8kzANcKPLfHV79n89COOtdcWOL01U3ecE2D339/jVbk0YuVMSWSMDwQs2HVAW59YIhmu8LooMeZ9YBXXTHPZ261efxgleEBhxWTA7zs2rPjoaHNO5ZPqt8865xLDgGPpS66v6jHLyzA00OaVvtjWh95LFbR85bP2Mve+RdXfO7Y3m/X5hceKX/l1oDjMx4VTzM1YrFmKqRSnacVlejFBgQpNVYr97j5AYtbttRZNyzYvMbmGesHgGm+8b0eUni4DgSeRbUkGKlHrF0+x+Fmmx2HRxgMIKoYpytLFs0yI6QVgVRmgDlWtGNJGOUpCpjitxwo1i1r8q/f7/LE4SqWMIMflcCm25PEWiJkj/t3Vnlg6yjLBjwCz+Oys1tcsXmBe7eOM1bWdHuGSXHsGNvR7JyFhUaP8SGHtcskkzWPl14c8b1HBXZlfXP5xosWSstbL5feKQektPf8ogM7PX7hAZ4eQoyjtdpz3llT++bm2qfLtZ2Ljs2d+3/qI7uiu7ZsH9q9p1HduKbDivEZmmGIZdVwbUG1rBkd7FArd7Gk5sisRdSVDI5AtWQn66gtHGGUer4r8T1JOYDBWkismnzvYYFI9kaC0ajYdsFH0A1xvBBtKYRS0AtphjYtV1KN4swcHgzPLgRccmaD+x7zmVmUDFZj2l3LbCPrWahYYgkzDb/QFMw1HKbGzD7LOIa5NtgLipG6IuwJepFNs6tpzIfU9wlOWenjlpczsfLsuV87f9XibMN948jo2u9OLi/Pa42S8t8HuOHfEcCBxPMDpaMnZrHGvtHsNTfseehT3f/4qn/8vccfuf9XJ6rf6927ffK0kcG2r+OQSgDLRrtEep6dhywsEbBitMXksDJDBA5mCt8TlD2bamA6p2ZxraJWDol0j4d21RlwtLEstoWZrHEUJb9HvdImCBZ54kCP72+3OWNjm4XuLLtm4HgzoOJKBiJNL9LJTCR0QoczVoNlRzTaLp1Q0Q01zbag0XRYbAcJ2BVhz9CKB6dt9h31GakKpqag2e6x/5hkQ8MCHXPGijKrx73O3ml3uzuwUT/nyitd7Oo/fObGz3108zkv0A/tbqjNp1We7o/wp378uwJ4egh7HRj+vPX4zr1Ylv0/HNv6Hz3rYuv0s+rvQUxvOP+s3c86dbJhdfQx/uUrDiVR4vkXRZyzocSaqZjWLHguIEJabcVIxWZi2KZetTNbNduKONKIsKRDrSQIfAvfEbiOMmlFqc3huSZ3323zoRsmQIe8/w+m+U8v6vC+GzrctX2UuWaFoRCiZN97s2Ox0HRwHJehapfp46VsbnO2IbAth/HhCgN+AyEiOqHRzzx+wGbfwSqb13S4/DxFbXCRG+6QzLfrDI5sil9xzenfHqwOP3ZsZuHNQvRi23axXE//6kteTTlwnu6P7Gd2/LsEePFYv3Yl5IMw0d6D02+0bHfwT39r9m/37bjZvem+KF6MBs67fLPc/O1tBzh4rMKx44tUbUWtHHF8QXH7g2Wmhmw2rYW5ZpO5BZ9lo5JYab5yp0djwWJ0UrJ8DOqVHkIISn7EdKPNn3y4xva9deZmXc5YN0MchZyxyudPXwvbDxzljz5g0ewGaGCm0UNpzXDNYf0Kmxc8s8Mnv2rskOs1xWyrzbbdDhNDJZ59doPv74iYW1T04pjh8iJXnlHjojM1PX0Kzz5n5r75Vvf+rlprja29PPzl8wb/CB3OCjn6dH8k/6bHv3uALz1WTg0DzAL/CeDTX7id0zdw6YrR8LnV0Q0vH6+1T41K0xzZe4DJkRDX7SBUiVUTMSNDLe7YFuMLBylM00Rp8CzB2JDFiok2h2YiZLeKlD2+/D2LfQdHOHPSorq+x9CQyz3bRtm9L6BWdlk9NcuLLp7nxtt9BsoS7C77jkeMD5UJezZSQqOT+CQOxSxbNsfnbgp4ZJfH2tUOjY6m6ti0Q5+1p1zGVe5yTl1jPzq9OPg5uya+ee3V3D615ip+601P97v+9B3/1wF86fGql14KcPuhw7O3r9/AHZ7TW7dy7XH11S9/Sa1ZW1kjvY1vfea5x9m4MmDnod08uneBU0ZDXLvLQrPLhadqHtulqVdjquUG333YY/WYxnG73PlwjUs3WaydihmohkyOhHzq5gqTQ5KBksv+oyNcdNphrrvFcODLJwWP7AuZnvc4eFzyva1lAj9ktqEQWrO83uX80wepltZTqjZ52TUr2L9n4W2Rnt+1bM01csX6MTlQtZ4AvuH4Q0/3W/tzcfxfD/D0mDRzg99Iv9bRAbC8+sEDB+86df12Vk3aPb++4b/97gp1dckVbFge8rVb7mFyeIH6kEe5JNlzPEBrB9tp8dATgmZLsHZTl7XLFphrWDiyS6PpMRAI9hyLaXdsVk4qNky1aLQ9PFtyznqJIxzCOCCwPN7wojJDYxdy+hpBOYi4dpn7re27eu8YHu05qzaeQem5y2+P4+7c2OTI0/0W/lwe/z/An+QQ9jKAOeDLAMeOHOYU2N4Mo/E41qrkdDk8u4eyr5C2wHZg12F611z9rL/wrCPX7jooepecF3PmGTYTIwvMLAQMVrtcdF7AYFUyvaiYrDssWzbOL11R5eBCyRkbr3xF62/9xWzDdhzHZrLucM76GpPrz2CoZqE0shqVjkyt1LvGx8ee7rfoF+L490N4/hwc+3beiRBifHZmx8D2XZZ+/ECPizfZjAw2mGuUqJZD7njQo1YSzDVjRmoOzzxjnm27q+yeLYmVY+PzWnPkxc//+Rsc+EU9/j9g4p/Yc67bywAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNjo0NDoyNCswMDowMHFS66QAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTY6NDQ6MjQrMDA6MDAAD1MYAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 9}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 7111836
{'hecke_orbit_code': 206309425170, 'n': 1, 'trace_an': 16}
-
id: 7111837
{'hecke_orbit_code': 206309425170, 'n': 2, 'trace_an': 0}
-
id: 7111838
{'hecke_orbit_code': 206309425170, 'n': 3, 'trace_an': 126}
-
id: 7111839
{'hecke_orbit_code': 206309425170, 'n': 4, 'trace_an': 1024}
-
id: 7111840
{'hecke_orbit_code': 206309425170, 'n': 5, 'trace_an': -882}
-
id: 7111841
{'hecke_orbit_code': 206309425170, 'n': 6, 'trace_an': 384}
-
id: 7111842
{'hecke_orbit_code': 206309425170, 'n': 7, 'trace_an': -1846}
-
id: 7111843
{'hecke_orbit_code': 206309425170, 'n': 8, 'trace_an': 0}
-
id: 7111844
{'hecke_orbit_code': 206309425170, 'n': 9, 'trace_an': -28662}
-
id: 7111845
{'hecke_orbit_code': 206309425170, 'n': 10, 'trace_an': 0}
-
id: 7111846
{'hecke_orbit_code': 206309425170, 'n': 11, 'trace_an': 45756}
-
id: 7111847
{'hecke_orbit_code': 206309425170, 'n': 12, 'trace_an': 5376}
-
id: 7111848
{'hecke_orbit_code': 206309425170, 'n': 13, 'trace_an': -3370}
-
id: 7111849
{'hecke_orbit_code': 206309425170, 'n': 14, 'trace_an': -94464}
-
id: 7111850
{'hecke_orbit_code': 206309425170, 'n': 15, 'trace_an': 128754}
-
id: 7111851
{'hecke_orbit_code': 206309425170, 'n': 16, 'trace_an': -131072}
-
id: 7111852
{'hecke_orbit_code': 206309425170, 'n': 17, 'trace_an': 0}
-
id: 7111853
{'hecke_orbit_code': 206309425170, 'n': 18, 'trace_an': -236544}
-
id: 7111854
{'hecke_orbit_code': 206309425170, 'n': 19, 'trace_an': 362180}
-
id: 7111855
{'hecke_orbit_code': 206309425170, 'n': 20, 'trace_an': -112896}
-
id: 7111856
{'hecke_orbit_code': 206309425170, 'n': 21, 'trace_an': -299166}
-
id: 7111857
{'hecke_orbit_code': 206309425170, 'n': 22, 'trace_an': -61824}
-
id: 7111858
{'hecke_orbit_code': 206309425170, 'n': 23, 'trace_an': 1311138}
-
id: 7111859
{'hecke_orbit_code': 206309425170, 'n': 24, 'trace_an': -147456}
-
id: 7111860
{'hecke_orbit_code': 206309425170, 'n': 25, 'trace_an': 963394}
-
id: 7111861
{'hecke_orbit_code': 206309425170, 'n': 26, 'trace_an': 0}
-
id: 7111862
{'hecke_orbit_code': 206309425170, 'n': 27, 'trace_an': -208656}
-
id: 7111863
{'hecke_orbit_code': 206309425170, 'n': 28, 'trace_an': -472576}
-
id: 7111864
{'hecke_orbit_code': 206309425170, 'n': 29, 'trace_an': -2851290}
-
id: 7111865
{'hecke_orbit_code': 206309425170, 'n': 30, 'trace_an': -1253376}
-
id: 7111866
{'hecke_orbit_code': 206309425170, 'n': 31, 'trace_an': 542438}
-
id: 7111867
{'hecke_orbit_code': 206309425170, 'n': 32, 'trace_an': 0}
-
id: 7111868
{'hecke_orbit_code': 206309425170, 'n': 33, 'trace_an': 3875796}
-
id: 7111869
{'hecke_orbit_code': 206309425170, 'n': 34, 'trace_an': 220416}
-
id: 7111870
{'hecke_orbit_code': 206309425170, 'n': 35, 'trace_an': 0}
-
id: 7111871
{'hecke_orbit_code': 206309425170, 'n': 36, 'trace_an': -3655680}
-
id: 7111872
{'hecke_orbit_code': 206309425170, 'n': 37, 'trace_an': 3343328}
-
id: 7111873
{'hecke_orbit_code': 206309425170, 'n': 38, 'trace_an': -1314432}
-
id: 7111874
{'hecke_orbit_code': 206309425170, 'n': 39, 'trace_an': -5896002}
-
id: 7111875
{'hecke_orbit_code': 206309425170, 'n': 40, 'trace_an': 0}
-
id: 7111876
{'hecke_orbit_code': 206309425170, 'n': 41, 'trace_an': 9218592}
-
id: 7111877
{'hecke_orbit_code': 206309425170, 'n': 42, 'trace_an': 14237952}
-
id: 7111878
{'hecke_orbit_code': 206309425170, 'n': 43, 'trace_an': 339512}
-
id: 7111879
{'hecke_orbit_code': 206309425170, 'n': 44, 'trace_an': 0}
-
id: 7111880
{'hecke_orbit_code': 206309425170, 'n': 45, 'trace_an': -32740578}
-
id: 7111881
{'hecke_orbit_code': 206309425170, 'n': 46, 'trace_an': 7417344}
-
id: 7111882
{'hecke_orbit_code': 206309425170, 'n': 47, 'trace_an': -34980606}
-
id: 7111883
{'hecke_orbit_code': 206309425170, 'n': 48, 'trace_an': -1376256}
-
id: 7111884
{'hecke_orbit_code': 206309425170, 'n': 49, 'trace_an': -2364654}
-
id: 7111885
{'hecke_orbit_code': 206309425170, 'n': 50, 'trace_an': 27744768}
-
id: 7111886
{'hecke_orbit_code': 206309425170, 'n': 51, 'trace_an': 50877810}
-
id: 7111887
{'hecke_orbit_code': 206309425170, 'n': 52, 'trace_an': 431360}
-
id: 7111888
{'hecke_orbit_code': 206309425170, 'n': 53, 'trace_an': 0}
-
id: 7111889
{'hecke_orbit_code': 206309425170, 'n': 54, 'trace_an': -5648256}
-
id: 7111890
{'hecke_orbit_code': 206309425170, 'n': 55, 'trace_an': -4584276}
-
id: 7111891
{'hecke_orbit_code': 206309425170, 'n': 56, 'trace_an': -12091392}
-
id: 7111892
{'hecke_orbit_code': 206309425170, 'n': 57, 'trace_an': -34049898}
-
id: 7111893
{'hecke_orbit_code': 206309425170, 'n': 58, 'trace_an': -7852800}
-
id: 7111894
{'hecke_orbit_code': 206309425170, 'n': 59, 'trace_an': 93924216}
-
id: 7111895
{'hecke_orbit_code': 206309425170, 'n': 60, 'trace_an': 18604800}
-
id: 7111896
{'hecke_orbit_code': 206309425170, 'n': 61, 'trace_an': -841954}
-
id: 7111897
{'hecke_orbit_code': 206309425170, 'n': 62, 'trace_an': 0}
-
id: 7111898
{'hecke_orbit_code': 206309425170, 'n': 63, 'trace_an': -14043234}
-
id: 7111899
{'hecke_orbit_code': 206309425170, 'n': 64, 'trace_an': -33554432}
-
id: 7111900
{'hecke_orbit_code': 206309425170, 'n': 65, 'trace_an': -126568134}
-
id: 7111901
{'hecke_orbit_code': 206309425170, 'n': 66, 'trace_an': -35179776}
-
id: 7111902
{'hecke_orbit_code': 206309425170, 'n': 67, 'trace_an': 29946644}
-
id: 7111903
{'hecke_orbit_code': 206309425170, 'n': 68, 'trace_an': -5476608}
-
id: 7111904
{'hecke_orbit_code': 206309425170, 'n': 69, 'trace_an': 70499610}
-
id: 7111905
{'hecke_orbit_code': 206309425170, 'n': 70, 'trace_an': -34359552}
-
id: 7111906
{'hecke_orbit_code': 206309425170, 'n': 71, 'trace_an': 0}
-
id: 7111907
{'hecke_orbit_code': 206309425170, 'n': 72, 'trace_an': -11894784}
-
id: 7111908
{'hecke_orbit_code': 206309425170, 'n': 73, 'trace_an': -7547764}
-
id: 7111909
{'hecke_orbit_code': 206309425170, 'n': 74, 'trace_an': 35124480}
-
id: 7111910
{'hecke_orbit_code': 206309425170, 'n': 75, 'trace_an': 114494910}
-
id: 7111911
{'hecke_orbit_code': 206309425170, 'n': 76, 'trace_an': 23179520}
-
id: 7111912
{'hecke_orbit_code': 206309425170, 'n': 77, 'trace_an': 9309294}
-
id: 7111913
{'hecke_orbit_code': 206309425170, 'n': 78, 'trace_an': 23014656}
-
id: 7111914
{'hecke_orbit_code': 206309425170, 'n': 79, 'trace_an': 33813002}
-
id: 7111915
{'hecke_orbit_code': 206309425170, 'n': 80, 'trace_an': 0}
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