# Coefficients for Maass form 4f56944a88aece2afe000018, downloaded from the LMFDB on 09 December 2023. [1, 0.7071067811865748, 0.5773502691896683, 0.5, 1.5276151681359385, 0.4082482904638581, 1.3116196714708106, 0.35355339059328816, 0.3333333333336697, 1.0801870444323745, -1.347579887256712, 0.2886751345948588, 1.0052705991620734, 0.9274551640346439, 0.8819690285414326, 0.25, -0.2946032176376868, 0.23570226039555253, -1.3418384837374129, 0.7638075840679616, 0.7572639703979184, -0.9528828764697392, -0.8882181969291817, 0.2041241452322477, 1.3336081019169421, 0.7108336575923454, 0.19245008973700425, 0.6558098357475478, 0.4940189930289932, 0.6236462808707744, 1.1071035088279528, 0.17677669532524878, -0.7780256112322446, -0.20831593264068207, 2.0036501059313654, 0.16666667216367173, 0.41534486874006654, -0.9488230911078632, 0.5803932510346014, 0.5400935222161991, 0.8062255765127139, 0.5354664886166899, -1.2560685239427898, -0.6737899436282779, 0.5092050560454058, -0.6280651102222586, -0.015157752409734191, 0.14433756729752514, 0.7203461625892185, 0.9430033323119713, -0.170089247007655, 0.5026352995811239, 0.1401690367208719, 0.13608276348964982, -2.0585834760495034, 0.4637275820147824, -0.7747108097959204, 0.349324180048048, -0.014891813056693046, 0.4409845142542979, -0.8765102175615326, 0.7828403984912924, 0.4372065571565013, 0.125, 1.5356666153349383, -0.5501471852069093, -0.8401223564264062, -0.1473016089410918, -0.5128130150831129, 1.4167945762380785, -1.8640941621545093, 0.11785113052080814, 0.2791851947465139, 0.29369318078671935, 0.769958997438935, -0.6709192430360591, -1.7675122844655047, 0.41039999881640654, 0.8106336935293355, 0.38190379992629736, 0.11111112045360481, 0.570087561214204, 0.5897125257485927, 0.3786319851963313, -0.4500403438444857, -0.8881745709158271, 0.2852219986473648, -0.47644143824342366, -1.0899510915729038, 0.3600623481401647, 1.3185326930170902, -0.44410909846500096, 0.6391865087669203, -0.010718149538780135, -2.049812820929288, 0.10206207260853252, 0.2861672376438005, 0.5093616563185434, -0.4491932957655122, 0.6668040509151386, -0.8709598470953669, -0.12027126002405707, 1.4614377735942172, 0.35541682856068835, 1.1568079276261092, 0.09911447652410926, 0.0735063361950866, 0.09622504437085909, -1.3676321569377423, -1.4556383357622016, 0.2397994798996446, 0.3279049174578639, 0.5204359724955947, -0.5478032672676865, -1.3568555895294625, 0.24700949588071114, 0.3350902020237794, -0.010530103067672486, -0.38640737573430306, 0.3118231400309771, 0.8159715585745831, -0.6197863207730835, 0.46547455266727467, 0.5535517336369504, 0.5096247966904539, 0.30915172133620106, 1.2055672510780882, 0.08838834765264868, -0.7251915003895957, 1.0858802772940843, -1.681379481800226, -0.3890128053813287, -1.7599817510577758, -0.5940562154878078, 0.29398967615662547, -0.10415796639828347, 1.6015792788701262, -0.36261356070728124, 0.3567406119242774, 1.0018250524485495, -0.008751332611088973, -1.3181136226249952, -1.354682440259849, 0.08333333306875396, 0.7546709071294466, 0.1974137435458471, 0.41589205173423005, 0.20767243923494702, -0.5088240526174729, 0.5444432248130333, 1.3790240008571384, -0.47441154900794646, -0.09820106686452389, -1.2498199267444023, 1.6912281083882386, 0.2901966309902101, -1.4967820807888244, 0.5732045781479416, 0.08092663513399523, 0.27004674781275806, -1.16500445057538, 0.07856742428807255, 0.801844152319207, 0.4031127882565061, -1.1885237238686082, 0.4169897257491519, -1.5422574303141598, 0.26773324448096925, 0.01056897722651348, -0.3182265786526589, -0.44727949494141844, -0.6280342618902799, 1.1744568585320807, 0.20168240980792992, 1.749186620716342, -0.33689497318263534, -0.008597792329640978, -0.7707118067922086, -0.17135675427117905, 0.2546025270281739, 0.6039270270647932, 0.9323434072272242, -0.5060534079174497, -0.31403255525121576, 0.6344871422569179, 0.45197311141569796, 0.3970013715197388, -0.007578879116798182, 0.25242132329455474, -1.449436544943484, -1.499136517941216, 0.07216879722759315, 0.33701951133543434, 0.20235078580953125, 0.8866175409871965, 0.3601730824503793, -1.345354314764941, -0.31762763616699535, -1.8617351071093082, 0.4715016660076308, -0.4850448688493244, -0.6158616140757329, 0.6479650293789723, -0.08504462285981398, 1.2316024196254438, 1.033392559202143, -0.29607273207901486, 0.2513176493791324, 1.8082345545613419, 0.8179867292895733, 0.5172078576423208, 0.07008451914875417, -1.0762352672375617, 0.05197683087371878, -1.918789328617055, 0.06804138005386377, 1.4520987444585833, -0.9670619772072685, 0.1611876508451373, -1.029291737015896, -0.29615595773896786, 0.16956383829687469, -0.0862875849172106, 0.23186379647240188, 0.4445360189507927, 0.3680038028356802, 0.07053174983178227, -0.3873554057634024, 0.1890199888159349, -0.9594418008419194, -1.0204736859682706, 0.17466209412665187, 0.12222583521111664, 0.23694455249702484, -0.023155212305015816, -0.007445906843296578, 0.4680195862879878, -0.27323127685367504, 0.845816260922392, 0.22049225856644677, -0.6483154636544542, 0.5769790216750533, 0.0641500280575111, -0.4382551095997528, 1.1004117252149874, 0.3291402143683978, -1.3489107776551967, 0.3914201976346947, 0.3404706876952206, 0.36035914683762127, -1.623596408279178, 0.21860328281925442, 1.1969449735311375, 0.8524647679506466, -0.2598308998633426, 0.06249999384462975, -0.17035774332315118, -0.5127878234056098, 0.5447745215742262, 0.767833300972817, 0.16467302152914803, -1.1889148469169668, -0.7863130047707565, -0.2750735694112235, 0.21412434765790292, -1.244495033175086, -0.6292835550556737, -0.4200611787650014, 0.6349561605410506, 0.20788209515046163, -0.9417258703246737, -0.07365080475844682, 0.7612552062949439, 1.1324875712328777, -1.7971434566465228, -0.2564065099552845, 1.5345169730911594, 0.25225370579956796, 0.36903449966825635, 0.7083972818208485, 1.14003642722462, -0.006188124336902673, 1.3476791576027598, -0.9320470811733562, -1.183459984849524, -0.957905146855605, 1.0574613269768802, 0.05892556561024591, -0.9132089617852226, 0.5336329226085798, 0.16521871913795672, 0.13959260337001383, 0.7979379550508646, 0.29408009032051674, -0.022748957989920725, 0.14684659046091436, -0.2593418669032656, -0.3597929395008828, -0.892899638304684, 0.3849795020948595, -1.6474841888962655, 0.9751172187324817, -0.5028489004158296, -0.3354596271141283, -1.3389703037223413, -0.06943864652405697, -1.0400636930549727, -0.8837561435013448, 0.843761489511849, 1.1958788658021737, 0.8671974214465673, 0.20519999409374037, 0.5723829716718846, -1.058384757703914, 0.6678833724570987, 0.4053168650934658, 1.0924032868296591, 0.057223779952790016, -0.6657300585296678, 0.19095189464416076, 0.04243890482249652, -0.8237825541069472, 0.39530993407217274, 0.05555555185168047, 1.3406370190092893, 0.5669894407083237, -0.7896027969445906, 0.285043789271959, -0.019881204775494186, -0.8404131848994189, 1.016191792842086, 0.29485627019780114, 0.13844828627956787, -1.0905406852520463, -1.2833836550218973, 0.1893159934459837, 0.6945291385770909, 0.007473397647211647, 0.3004738525368001, -0.2250201679327117, -1.4919104217403458, -0.31627435547966837, -0.3667994749580687, -0.44408729968429866, -0.7833809362644565, 0.830466431008706, 0.9746717903327283, 0.14261100052781112, 1.1938131288489764, 1.2368617231002235, 0.19346442153399765, -0.2382207254168971, -0.050757471582789974, -0.006079560292378547, -2.847618517207614, -0.5449755425354936, -0.22309241146053096, -0.12116752523446173, -0.5256225892438935, 0.1800311712185951, 0.8005305124597779, 0.4270408903527437, 0.47110138939424756, 0.659266328493644, 0.4264875517809926, -0.3578338106867376, 0.06320119798596485, -0.2220545207312357, 0.26874185002540324, 0.4486501455406352, 0.18384848265028803, 0.3195932554037616, 0.3344584281315506, 0.280722358711773, 0.29423201516780223, -0.005359072891919902, 0.4966227693053321, 0.1784888103029869, 0.41571263196658487, -1.024906414948626, 0.6960345799972589, -1.0600495970416035, 0.414335541682135, 0.05103103631381393, -2.7000785776313183, 0.23830877490259536, -0.4186895057071588, 0.1430836241229661, -0.9177250152157934, 0.6269333097023467, 0.2616719350678717, 0.2546808363067598, -0.9707449073696685, -0.9513091513682314, 1.2383363351484282, -0.22459664356093675, 0.9912499763102238, -1.3164455186527655, -1.0161259473571527, 0.33340202857112144, 1.1414121039691296, -0.34297851218821224, 1.1129386040630578, -0.43547990847853757, 0.1697350192960645, 0.45818045782815975, -0.5597104152547803, -0.060135647896827085, -0.9152865267787991, 0.8708744037076808, 0.924672260657034, 0.7307188742422405, -0.019532395132636108, -0.20935505253386286, 0.9008538203310102, 0.17770842068753379, 0.20596428693044647, 1.2786149186917897, -1.7073160060898005, 0.5784039643276673, 0.7912567453023198, 0.3657211801140641, -0.0050525844906821726, 0.04955724265853474, -0.39288524052975543, -0.7610132693174598, -1.1496480423636402, 0.036753152815213345, -0.7821262802397474, -1.3567889484808306, -1.0918919416559951, 0.04811252934191867, 0.10733848468180884, 1.0267889090183226, 0.43570942167045573, -0.6838161101169152, 1.1918453514960567, 0.11397689482927804, 1.1385869888628861, -0.7278191640206403, 0.2401153898958131, -0.20941389497883703, -0.12257970520355718, 0.11989973042483627, -1.6650258140191063, -0.06101453471410424, -0.2937697182406385, 0.16395246636966898, -0.6922606187054849, 0.3143344522113423, -1.0864533771827896, 0.26021800108513654, 0.7961798816394324, 0.049873464908090186, 2.0142105565401356, -0.2739016316423155, 1.2980511923314555, 0.13365729882084548, -0.056696424585641135, -0.6784277993955744, -0.33667643616307164, -0.7215838752108321, 1.5135442544711115, 0.12350475134262522, 0.9764310096375365, 0.08642670844399039, -0.17045247920786863, 0.16754510042985155, -1.101921004682402, -0.016373212131851052, -0.8641675278130452, -0.005265048467191364, 1.6926526692166153, 0.3309398125365539, -1.789486656286657, -0.1932037060125994, 0.04672301037903991, 0.5980824113437309, -1.2490633531754074, 0.15591158317989165, 0.4175339781254189, -0.45842824100207824, -0.6726156868476072, 0.40798577775317924, 0.43715341700683913, 0.045360924192076386, 0.9174288988165997, -0.3098931610368301, 0.4629449360577325, 0.7781086067723954, -0.9050636964743377, 0.2327372695321933, -0.14553957865331738, -0.9538239458149887, -0.686194494684079, 0.27677587324013847, -2.4449825739580664, 0.2407491245830201, 1.7227306265494415, 0.25481242019449774, -0.8904227560669297, -1.1480560373594835, 0.6665667726941857, 0.1545758492954961, -1.3304914596811046, 0.8463678887471269, 0.006101992967127748, 0.6027836316973454, 0.7851316478744432, -0.18372821072122206, 0.36618480080235666, 0.04419415730268193, -0.25823691454650544, -0.12046112120837715, 2.232514503687823, -0.36259575176416525, 0.020426294871904, 0.3852137578460808, 0.6780729641689328, 0.5429401402476245, 0.3992190225851555, 0.1164414128728898, -0.2992704597635551, -0.840689728881725, 1.0098933795018992, -0.5560072831232407, -0.3261562268051411, -0.1945064242440894, -0.21106843647809667, 0.15140878328572516, -0.004963926062353521, -0.879990867504517, 0.810474874949962, -0.44497070770682695, 0.11228938801287533, -0.29702810526750945, -0.09893286688343772, 0.44898180636745055, -0.9707240032398564, 0.14699482996972907, -1.0551718241611938, -0.6659007473938405, 0.34867743806493595, -0.05207899032673167, -2.0892156154334716, 0.5382887134725164, -0.08129286554611635, 0.8007896253283964, -0.2921700573572784, -1.270772320672333, -0.6628936924499534, -0.18130678742972708, 1.0632431416209227, 1.085067342320906, 0.3663212917059045, 0.17837032737858, 1.4918492421108327, 0.2609468263245902, -1.2626887450713262, 0.5009125187953674, 0.22920883026571226, 0.8061274965914913, 0.19974198220889164, -0.004375666181582854, 0.7950258949294274, 0.9529530658817449, 0.14573552359861036, -0.6590568152741679, -0.5963365629741036, -0.8368325826370959, 0.4852762287358824, -0.6773412261217803, -0.8655268642927064, 0.7477380583093438, -1.1845349876105047, 0.04166666687478081, 1.6740592722701932, -0.6457362395481899, 0.19457830454926758, 0.377335436572034, 0.7734785585523175, 0.11682729061782553, -0.18888896716562953, 0.0987068333916798, 0.5118888866770305, 0.564227348818771, 0.3311204711184193, 0.20794604699940342, -1.4855540932462379, -0.016085923596823964, -0.7767406760823062, 0.10383621564187939, -0.5105591250511076, -0.18338238714282662, -0.5902817700806808, -0.2544120228089848, -1.0748732671078252, -0.631375390816776, 0.6671734569093193, 0.27222161429796454, 0.2790647029607003, -1.1649472393620899, -0.28004079239116625, 0.6895120097632347, 1.2464905071222883, -0.35556787686214886, 0.9205976920701853, -0.2372057880155734, 0.3741027839292925, -0.9467949867092236, -0.015237628966601312, -0.049100545381842525, 0.39978265678902913, -0.7354361029639733, 0.7110660108541157, -0.62490997834347, -0.07350009504624636, 0.5966294832033322, -0.03841001727544691, 0.8456140019394008, -0.17093765949363837, 0.6132011768820025, -1.4296012862185021, 0.14509831205181428, -0.5550975355889196, 0.4047358751917033, 1.0439847064243586, -0.7483910358110147, -0.12236194834055485, 0.4722648647138198, -0.8867852673853003, 0.2866023044648668, 0.2986100869959286, 0.7724457726954578, 1.841642833079008, 0.04046328611914844, 0.7241428288250031, -0.47074225495722055, -0.6213647065342627, 0.13502337954474736, 0.6117111798016933, 0.030008819073807307, -0.6755672227686397, -0.582502229228161, -1.1078135314575561, 0.2795263561590112, 0.6546736045213619, 0.0392837117743115, 0.02006790129687322, 0.9479735312307628, 0.8383696051394491, 0.40092205337351955, -1.8616351464442038, -0.5583334893931373, -2.5685008011477892, 0.20155639812832093, 0.09306172648290707, -0.014058129072676643, 1.4322955174072174, -0.5942618612511247, 0.409420927468743, 0.7185561127654854, -0.17098572022792366, 0.20849485302439322, -2.688574829434509, 0.09789774240647443, -0.4387966627460567, -0.7711287096850251, -0.0498181640390091, -0.9074892801392224, 1.1811675448605028, 0.13386661519325752, 1.880074494381213, 0.49110624163709604, 0.2566530049356744, 0.005284469264330558, -1.2668817577804679, 0.2124670781370446, 0.3753425861415108, -0.15911328894930446, 0.04072149933461541, -1.0549399795777632, -0.6306174183377823, -0.2236397241654778, 2.44659678865568, -0.2593663759385794, 0.10913074314924047, -0.31401713361449424, 0.14090781788489612, -0.5539339743656896, 1.9889980024451819, 0.5872284289399422, -0.5891707621601997, 0.689197035919602, 0.5449623590913122, 0.10084119519212925, -0.23751663870183204, 0.8441533532157994, 0.07056711126344563, 0.8745933121831437, 1.4035829745715025, 0.13679998683861758, -0.5573257500261067, -0.1684474957815005, -0.013368655084817653, -0.03589095691602401, -1.1423680832471974, -0.004298894419558902, -1.3698874448342968, -2.0135703545065167, 0.27021124056435863, -0.38535590348934134, -0.9833494856093135, -0.1577501549417029, -2.0694334667738996, -0.08567834117195862, 0.48833225934274654, -0.37167126206505596, 0.1606433888123975, 0.12730124588828368, 1.916850554775574, 0.5660604872619729, -0.37430511547691037, 0.3019635166221147, 0.658827736775475, 0.3331189837044083, -1.6601144945182789, 0.46617170415243847, 0.037037033261662716, 0.30157223454160476, 0.3700418315513728, -0.2530267107673851, -1.59487095560122, 0.044689995318586126, 0.6353230115195364, -0.15701626927753246, 1.1321319967650354, 0.1900291799550189, 1.0559125807304637, 0.3172435853831751, -0.7787939914083517, 0.1300004899554366, -1.1925441514907873, 0.22598657314138015, -0.7772873385730703, 0.23649782890693002, 0.1965708499121225, 0.1985006916363001, 0.09641234711778317, 0.20805344952436602, -0.7685721923686532, -0.0037894419085705636, -0.9373838056178646, 0.35116530889814607, 2.106617991262476, 0.12621064477381475, 1.7436458889176525, 0.2939532605252154, 0.691056484058956, -0.7247182122702309, 0.00686715265125999, 0.4921707657515037, -1.7938132384071486, -0.7495682549870928, -0.15001344758849167, 0.29297945002433123, -0.0149702980915827, 0.03608438518272543, 1.1150177231454586, -1.9092438726471914, -0.09835609169332302, 0.1685097542696158, 0.24614179106155137, -0.2960581992337502, 1.4764422222025284, 0.10117539952312002, 0.3145257153894069, -0.6489295619445904, -1.0818245072945063, 0.44330877622177234, 2.5120157784525867, 0.18502999571680334, 0.09507400319254165, 0.1800865204463688, -2.286507049187229, -0.6864202621298415, -1.9262652843154415, -0.672677161084873, -0.4539780194324715, 0.875636025222115, 0.6826140415151021, -0.15881380328295727, -0.8811299423809624, 0.7009195548154162, 0.12362475977189448, -0.9308675453686365, 1.702550203753121, -0.7185095207948778, 0.004465494366920523, 0.23575082530668345, -0.36331701968775915, 0.8071002249887086, -0.37622435644294633, -0.24252242573059532, -1.7796784866479836, 0.7869664382804916, 0.3665921012338035, -0.30793079919304855, -1.5276328320079742, 0.12002077978501562, 1.7264426126759056, 0.32398251193002975, -0.543705689985704, -0.39577502745678717, 1.2249093070659072, -0.04252231385598327, 1.6854410672215911, -0.6472053180003938, 0.43951088709102043, 0.6158011891342514, -0.519609389255229, 0.6538420071664703, 1.2981803843676833, 0.5166962902716422, -1.0375812714676145, -0.013811468300169506, -0.45042973098924327, -0.14803636168663908, -0.20754229654147094, 0.6369998388384632, 0.8859537631083918, 0.12565881314401983, -0.2122162920261164, 0.14563875217436828, -2.3559758376090745, 0.9041172902499279, 0.2130621411708913, -1.2072547005082126, 0.233231514957885, 0.40899338549982717, -0.7559452370837594, 0.5595029972237666, 0.6582003551146938, 0.2586039254692745, 0.01614534066657701, -0.0035727111413789755, 1.0702443317211303, 0.035042250690937415, 0.7780829294905853, -0.2778118171711177, -0.3689168852898217, -0.5381176346785015, -1.2632166793147264, -0.812923925359097, -0.6832709460174431, 0.02598842817125035, 0.783401283725229, -0.5530467767526248, -1.948267576928041, -0.9593946570208495, 0.6105255503541975, -0.7720841609786228, -0.6771297313473742, 0.03402066277040432, 1.794118111346777, 0.0758997641332504, -0.5272414010180919, 0.7260493625786382, -1.0923936740853184, 0.3080931352969602, -0.8445503154620296, -0.48353097136897183, 0.09538907092155575, 0.8427619203462897, 0.6684338795304774, 0.08059388726267269, 0.4971926538164782, 0.8051025497405268, 0.4606896763912554, -0.5146458413172025, 1.04401308345476, 0.16978721368216215, 0.8789505326431496, -0.14807800572602772, -0.013134124162522078, -0.08667694764259566, 0.8326102855880213, 0.08478191105557165, 1.581245725187079, -1.177351058417298, -0.14973108949427377, -0.04314379978950129, 0.0203392510752938, -0.20772655636970522, -0.2617671535820581, 0.11593186981783318, -0.5155158418647338, -0.48950213727261765, 0.5469301435777876, 0.2222680202872263, -0.041294261492201854, -0.7682385380016665, -0.951175461877108, 0.1840019314028171, 0.9225680653461137, 0.5629841988146791, -0.47730782805394395, 0.03526585156291292, -0.2903199393323147, 1.4242619127958274, 1.5871968547502766, -0.1936776902781323, -0.7946847504518867, 0.9178607978094546, -0.7730548733277764, 0.09450996567622662, -2.205330390131189, -0.04009040866333586, 0.3084794995820903, -0.47972088254516043, -0.6004810519066432, -0.23806616241671388, -1.8739190755250905, -0.5102368472209353, 0.5539073261583176, 1.0702373777177605, 0.48714589412425807, 0.08733108933741236, -1.724651507222657, 0.6904409657428346, -0.9665881931456209, 0.06111291345082845, 0.5006766614678336, -0.12052810601740924, 0.6064653094364735, 0.11847228705931533, 1.5851938304778619, -0.7791758203920843, 0.3304654715082117, -0.011577614925924606, 1.0553631160951977, -0.6110587360273528, -0.7161042205580125, -0.0037229689054765207, 0.38560264945440853, 1.196886187076323, -0.5178658784107368, 0.2340098138268649, 0.28065667027610425, -1.2653581462774455, 0.6306993364522006, -0.13661564612483723, -0.39926996754579736, 0.03303815910430302, -2.290103660882818, 0.4229081216018009, -0.38435942866110323, -0.8832211544134712, 2.100662880055263, 0.11024613572907915, 0.22567815684205708, 0.2952411204302783, 0.024502135754159816, -0.324157769315898, 0.514836136389919, -0.47561108615799846, 0.177678133124169, 0.2884895125197288, 0.22823227534815793, 0.3091141848699732, -0.8412320277328356, 0.03207499303308478, 0.46790800214784195, 0.6487202017858704, 0.774017137150211, -0.2191275437731377, 0.530851389011744, 0.3273515075932773, 1.4687961655448893, 0.5502058577787574, -0.4558773820657023, -0.6399766684299061, 1.3241946579698822, 0.16457010264421443, -2.0551836552945737, -0.1029120357193898, -0.011478418923636585, -0.6744553778089815, 1.1156629044410487, -0.4852127742100126, 1.386880778951282, 0.1957101009299208, 0.586698601179049, -1.7288637635376687, -2.8440147880593805, 0.17023533077667932, 0.2863580082289676, 1.2181545178730784, 0.07993316811602205, 0.1801795602347543]