# Coefficients for Maass form 4f4c007e88aece438d00002d, downloaded from the LMFDB on 09 December 2023. [1, 1.5246015470667535, 0.41790186923046013, 1.3244098773119724, 1.2790290796141783, 0.6371338363478507, -0.9761088474719369, 0.49459580083306925, -0.8253580276959233, 1.9500097135222458, 0.3015113445775258, 0.5534733633546326, -0.3707090573402321, -1.4881770589605017, 0.5345086431702537, -0.5703483541919211, -0.06756952595175633, -1.2583421259010763, 1.6518725067822095, 1.6939587464196812, -0.40791771191438125, 0.4596846623643804, -1.376925303792413, 0.2066925097144526, 0.6359153864862709, -0.5651836024057749, -0.7628205318378797, -1.2927681983972295, 0.8861150459045434, 0.8149127031948813, 1.7581085887257957, -1.3641497841663939, 0.12600214899083786, -0.10301660048528763, -1.2484716008063683, -1.0931123242144027, -0.30664699951940083, 2.518447379458374, -0.15492000797560573, 0.6326024118402422, 0.7521237282074575, -0.6219119746400714, 1.1853236658741106, 0.3993246028377756, -1.0556569190014762, -2.0992624483115927, 0.18730785983514167, -0.23834964284040314, -0.04721151877905789, 0.9695175808573886, -0.02823742972845438, -0.49097073607415676, -0.5074997253745749, -1.1629973658620305, 0.38564177422863516, -0.4827793304440473, 0.690320611950869, 1.350972369339252, -0.002957801297789512, 0.7079085196749911, -0.3447681799552052, 2.6804150696791824, 0.8056392375119326, -1.5094365584372882, -0.47414763338219856, 0.19210307915208338, -0.9713530162811251, -0.08948974673130812, -0.5754196579192109, -1.903421734109174, 0.22539225332263746, -0.4082186160399509, 0.013291291817101987, -0.4675144875191925, 0.2657502300246346, 2.187756262430716, -0.2943078958901119, -0.23619128591207214, 0.01878463109265062, -0.7294921246498225, 0.5065739061830448, 1.1466889912570324, -0.4637062443527088, -0.5402502410444797, -0.08642336855376063, 1.8071463229752305, 0.37030911556941726, 0.14912619276421998, -0.08455713429935834, -1.6094561363873117, 0.361852493374306, -1.8236135073471846, 0.734716709656488, 0.28556974010014524, 2.1127929754411117, -0.5700807574652229, -1.6816279611658052, -0.07197873791944942, -0.24885481909308163, 0.8422126054574671, -0.04922921126394239, -0.043050819499840805, 1.3898160738412006, -0.1833511446389447, -0.5217385688894006, -0.7737348880755915, 0.8208693483458919, -1.010286989514288, -1.6447159493611978, 0.5879499228549763, -0.1281483602364584, 0.5567220738027053, -0.6957419808152879, 1.0524638753295972, -1.761127508572306, 1.1735795286495474, 0.3059676943053621, -0.004509461945141357, 0.06595522054476254, 0.26436571962625954, 0.09090912202544413, -0.5256341565503583, 0.31431391752183, 2.328456429701054, -0.4656748514846832, 1.2282789300518397, 1.606428758631468, -0.937139465604993, 0.4953489733585308, -0.7228861601790999, -0.002751982077340578, 0.16687850227798656, -1.612407353299091, -1.480926286606142, -0.9756696355934146, -0.03341962030128259, 0.9933582547856064, -0.8772857316796507, -0.647009448909209, -1.6534880771395648, 0.07827635335818159, 0.34363338167578855, -0.1117730621646718, 0.4707415172364099, 1.1333668707577549, 0.02026402458205239, -0.019729792628793583, -0.40612630419870693, 0.27737220473920077, 0.4051631918326189, 0.7465115251117569, 0.8170092031163152, 0.05576904622674559, -0.448702254029509, 2.248671977992877, -0.20517756493111258, -1.2016147898946474, 0.02863905576380953, -0.21208506964351967, -1.744787250441654, 1.3440289748510579, 0.7723233891597815, 0.448680894400212, 0.9961200541236643, 0.16116040332341044, -0.7069672401827283, -0.570944788408176, -0.2017543498859111, -0.8625747701011899, -0.1317612473875799, -1.3633862576617786, 1.5698543452533085, -0.5708814050389418, 0.564573849229753, -0.6207226263909293, -0.1719664468188466, -0.001236017564885994, -0.1289158797836921, -0.8987294274005366, -1.3981224412309754, 0.7213400547044092, 0.5516807309892541, -0.1440792679060768, -0.6810214478145772, -0.39221043561088476, 1.1201503983052312, -0.020373053159665203, 0.24807243137568638, 0.7445959693412307, 3.2211674618158095, 0.5057277813289608, -0.6307963443038026, 0.9059345104456109, -2.563812543100821, -0.19814715921906823, -0.062527394540796, -0.6145834325851072, -0.3794044366117123, -1.7129827336219916, 0.31452114746632837, -0.40593022001427026, -0.0750549645402312, -0.8649447442867997, -0.03739792881950233, 0.9619881211791191, 2.118915805248669, 1.1364563399223717, 0.2114332803038878, 0.49805826952708226, -0.7954434874541965, 1.4604878931039862, -0.6721376363916693, 0.09419181614758247, 1.2514987948293341, 1.5160634715683243, -0.3772878875830948, -1.7161053253874081, -2.5075365593390506, 0.005554522936937606, 0.5107478428302655, 0.025048592054427433, -0.19537514202966577, -0.4624250624272483, 1.331558688189646, -0.5248578619117186, -1.0607293155922453, 0.3616800605458468, 0.9142674642047086, -0.3906837350424275, -2.685017664533953, -0.12299182109529498, 0.43826877648705836, -1.046050116550376, 0.46647881650323414, 0.23957218747592132, -0.0039173118098334535, 0.007850138571004152, 0.10055539719583957, -0.025401831598342986, -0.3048561046219179, 0.4110816016268505, 0.13860013990815973, 0.9745187281672671, -0.45661444070814955, -0.060384897618727236, 0.47920346625077787, -0.6123641051043068, 0.8695531360989899, -0.19378368752494088, -0.7099685417234683, 1.292814320919535, 1.0669966271688551, -0.415158636205164, 2.4491637024365076, -0.036116474567213196, 0.0806722339600877, 1.2982367309444813, 0.7552098534487398, 0.2993208832453298, -0.6279658786669572, -0.7313621681654476, -0.004195534836179079, -0.6804457921919647, 0.06232010268393869, -0.649106851622558, -2.458278768379116, -0.03533658930255579, -1.286469523164742, 1.259853448558781, -1.4875074567444906, -0.20123332642358088, 0.03853817650868481, 0.15121879701434537, 1.5144755777611356, 0.19173571092770816, -0.7620914880551043, -1.317726494518454, -0.9864316299060767, -1.4510690327695006, -0.6174888297001626, 1.2827391282348668, 0.11934019399451304, 1.7881575603143076, 0.29851173583945273, 0.882940149874696, -0.17040926148991, -0.7341546343336101, 1.1259119645176243, -0.9954343501065369, 1.7279329322262242, -0.7027554644469219, 0.017603122811250066, 0.7408711441562627, -0.030080036334751026, -0.0037830886268570333, -0.15166633350977038, -0.22999904333972368, 0.42288204383045513, 0.5104386876054818, 0.35196222399421084, -1.1570049139646486, 1.1381326354425314, -0.020572980543943853, -0.9421427328705686, -0.440968592670028, 0.08502555119119024, -1.1545635799754312, -0.3897842806638486, 0.5808067498822704, 3.428328811889976, -0.05330089916161374, -0.07662276902970211, -0.9809733579799337, -1.8319838067166607, 1.0304360488322135, 0.02487849922482549, -0.3798165064873696, -0.3233451581062299, 0.2671736380587518, -1.9306131200973777, 0.3430428378204204, 2.0491086966976617, -0.1116162102562326, 0.6709113998558828, -0.23573955808128513, 0.6840596513637307, -0.6873299119800016, 0.3719972198598186, -0.18283286025717546, 0.2457054210200505, 0.6962940577452494, -0.6141371307163284, 0.25309363286701847, -0.8704633456744204, -1.2423887695607443, 0.23265523338420108, 0.579321041757498, -1.3150827253867547, -0.29075184402077797, -0.1144599584724915, 0.5300897421575519, -2.0786208550721894, 1.0221925207926572, 0.5862560258337844, -0.7359784072336174, -0.8703666709758596, 0.792022192623959, 0.490441100091047, 1.6500260798762039, -0.946354646981761, 0.28278444909246275, -0.41130660983196304, 0.6580426217126153, -0.001884545264869273, 0.28828326673322796, -0.11198825530377803, 0.027562767637450924, -1.3702042096137668, -1.794877221672518, -0.5221234855712669, 1.7286828248322013, 1.099756039430957, 0.03799108007620904, 0.4792408723700916, 0.0169999103407855, -0.21966353856784485, 0.2951873200925671, 0.7853271009992983, -0.62077131135329, -0.5979645819938227, 0.49537487208129655, 0.973066314781774, 0.404184046579294, -0.031060706076634026, -0.1946063737286364, 0.09264156606692095, -0.32849073960525405, 1.1352120527194158, 0.2041606678680847, 2.79820387590189, 0.671329531673281, 0.7710332845133747, -1.649583422013598, -0.3916323181574355, -0.3764283412244279, 1.381189277546944, -0.9783163746849897, -2.227164719112192, -0.3312727272461673, -0.3020955462256147, 0.09303822675853732, -0.02335055365680723, -0.0011500262858693197, -0.9369949177859537, 0.024026056920851826, -0.3295857721713931, -0.5087424513916989, -2.611616078722468, -0.6738280250420536, -0.3626932533975801, 1.1032222234621794, -0.6188819327028221, -0.6517468488516119, -0.0651995586255264, 0.6479227459260469, -1.318696054700473, -0.09245753086444213, -0.013966150249682396, -0.6346189242996572, 1.4666486071358456, 0.4151262699649565, 1.8406862014758985, 0.002887091626124688, 1.732643133300317, -0.5930937216690588, 0.5057026218310352, -0.27038642818552655, 0.7593404587534498, 0.7408095001864853, -0.6909957577847213, -1.8291500945990422, 2.2266620717196175, -0.15459601285907176, -0.25100724890915815, -0.04296848156216512, 0.14360500158166348, 0.3365312711128376, 1.087167607379676, -0.04671020453132385, 2.3113926236015976, 0.7593155857951663, 0.43507340368296604, 0.36762806270776155, -2.616376851560524, 0.4736361572582211, -2.1782781143804084, -2.274505045005664, 0.008468349430762506, 0.7835883081939262, 0.19073678791891768, 0.038966413668343795, 0.03818919579034607, 0.9175155795547807, -0.16972093849041367, -0.10815102601903544, -0.7050138612979753, 0.11591438034646019, 1.4733743639384465, 0.14104523190033239, -0.8001991307979159, 0.22677387159471432, -0.9214475401278148, 0.3119685582239981, 0.551417924279723, 0.4628197183942366, 0.34142966732121793, 0.46004681498817734, -0.5956370715469049, 0.051543456175138606, -2.3324546419571934, -1.35999761240306, -0.18751354947595109, -0.5528321591174291, -0.5053942989639453, 0.9397241928778356, -1.5948096699653418, 0.7188033481182374, 0.40522670262102906, 0.9481463333843871, 0.3652521664568687, -0.5021570649511907, -0.00146290077656532, 0.35738853402128024, 0.011968302084638444, 1.0504510853281834, 0.08735169315259146, 0.41886893702250594, -0.03872771719490855, 1.019947837407722, -0.7291498591436767, 0.11367689081081792, 0.6267357022912513, 0.5616722354211867, 0.12040090970907844, -2.150851064789806, 1.4857527223355766, -0.7597333329772958, -0.17052092173812433, 0.18750460005882166, -0.09206290091272328, 0.1145898463683589, 0.41628045843132594, -0.05987438773264103, -0.9336112742834187, -0.31829254942900637, -1.0027343437659433, -0.2200073574147005, -0.29544290175682913, -0.9253400214851644, -0.6167443123053963, -0.23859891800986338, 1.97102665358786, -0.6773888147094628, 0.3984658140492386, -0.06296558123939157, -0.6329514149879573, -0.3604716107059621, 2.127570064360586, 1.0665259909739648, -0.05506329527558504, -0.012973756563454512, 1.0601324999867432, -1.2600822079972052, 1.9792937830489323, 1.777615204384875, 0.6560450101874012, 0.05647539681283588, 0.45634502366273194, -0.23857238154083618, -0.234511378285075, 1.608863309655494, -1.115035855809459, -1.4329541558678447, -0.003644705359384511, -0.25940108340065987, -1.0374085666632868, -0.11879450387102268, -0.07186513673697577, 0.8959232329824338, -0.9896294741186266, 0.0024412507505786685, -2.1354882215518876, -0.27881905492731524, -0.05387420257259345, 1.0499157945547761, -0.480427175892964, -0.3755807158083295, 1.9207745553256097, -0.014234737778921133, -1.29218643441334, -0.36794160907520856, -0.3068006930193516, 0.3014492743646272, 0.0921749491715832, -2.1036395591083514, 0.23054841041195442, -1.362080098982472, 1.3156135309703123, 0.2845572080388511, 0.2923205420408365, 1.4637490681112935, -0.2846001473361358, -0.018335836307499225, -2.0090078310797272, -0.16390544931321252, -0.8569057323446101, 0.23030501351244714, -2.212302093540508, -0.43941020292801025, 0.7120637257648155, -0.008513914117707399, 1.95566604181565, 0.16976642098826317, 0.10366989848484127, -0.8898742310596853, 2.7262278109352893, -0.4944712664725715, 0.11147807902984715, 1.7957960711832537, 1.3461318843662866, -0.21276598779319905, -0.14803325237940623, 0.21134459133770997, -1.1192932857045272, -0.875607997129359, 1.245825553466941, 0.18026103182371822, -1.5176407822022813, 0.3785917462230668, 1.5010423442737424, 0.45262774758812213, -1.0714220627442284, -0.1530169076481457, 0.006573816775919577, 0.39134158676677266, 1.1295333295351153, -0.17677557645543718, -0.026130345728998024, 2.9041712361488057, -0.005767719218195005, -0.2568356255871296, 0.1748955887559418, -0.27316592809108425, -0.3506568917857109, 0.08435861034061265, 0.36735449227057043, -0.7158586286871174, 0.778215608974771, -1.320197965389825, 0.13143899380927943, -1.2008229019376049, -1.7639715039298947, 0.8017140111698862, 0.9886871826252039, 0.11627539179854762, -0.031365663439188236, -0.6918879464147523, -2.2534015563173986, -0.36146199637254856, -0.6723013453287843, -0.06943672139706666, 0.07386114778053367, 0.2096450163798622, -1.7602493145928024, 0.4020165891311602, -0.14556339025187362, -1.0815190191442443, 0.885498870512534, -1.0104821084188804, 2.978163407176133, 1.0503469392439644, -0.08126270587434453, 0.08253695820515766, 0.08835835173690222, -1.2315270424843436, -1.4955935808021388, 0.2081394805301473, -1.591430499509631, 0.020719939038803564, 1.5710044732680302, -1.1904079347299092, 0.009290839124328733, 0.6103406143403142, -0.5790687770347499, 2.054669098946994, -0.2808875393015618, 0.017501751679853517, 0.40733348443617023, -0.18602930546191412, -1.1986286240852966, 1.4157833332516117, 0.5230036781336754, 1.783698701244153, 1.780045260605367, 0.6335657259707875, -0.17017027967347004, -0.4620008797251396, 0.2505493486858959, -0.0008918232111954666, -0.35940891161705635, -0.7171636173398301, 0.59423742224273, 0.1098956000652368, -1.047904198131921, -0.0035197855544575646, -0.42897254220805386, -0.010970038700930562, -0.278747256000355, -0.12170118678048747, 0.21344248266322427, 0.5638884045332565, 1.0615709894933851, 0.01046787831088024, -0.22934714406197623, -2.062315925978179, 0.3858668400937453, -1.2201142036808632, -0.7561649274760742, -0.1932482857599324, -1.8941478258416073, -0.10395155086426, 0.5564608458532111, 1.9099157960357362, 0.8832338368006083, -0.4850892882925181, -1.1424025505902309, 1.207152936491211, -0.4432807439727003, 1.6414519266944234, -0.042744678532822315, 0.15114675408188946, 0.8081755748668304, 0.6308827499432555, -1.80568220094213, 1.2705341789414455, 1.5584361368042006, -0.16326754828121698, -0.6760473764426022, 0.188134760675225, -1.1220739780730007, 0.3118551002956686, -0.7560808798357329, 0.24290935832075922, 1.2075182797680295, -0.8275438555771992, 0.1831533325500291, -0.050820673135836526, 2.515632361543288, -0.4371462959425481, -0.8220911727813764, -1.6120813997104366, 0.43113367846927786, -0.5065417275989818, -0.45511224800199696, 0.10011767282876738, 1.0032526750837503, 0.048053061506735106, -0.0016370512847109736, -1.594252013125604, 0.43951707473762996, -0.01550404931461929, -0.04182159862324882, -2.420784224155933, 0.042022277791373824, -0.14296088767276072, -1.1902860875369443, -0.010615434179184922, -2.7364725874053932, 0.21444111980079297, 0.6020922014681231, -1.356611818968045, 2.6355524091008506, 0.17179177545839333, 0.9553498550024808, 0.5634941840247568, 0.05792126229481384, 0.7391464303666739, 0.1789706732309206, -0.09932071185102326, 0.02591816340699427, -0.0800917881703647, -0.1908200160467728, -0.054156440112175845, 0.4500430974844142, -0.02523493593079826, 1.8783323517456925, -0.2928739702187128, -0.9464289480838095, -1.6877652936287086, -0.5194473655330076, -0.25590806770380875, 0.7552494176325151, 0.5144596362868651, 0.3633878828754378, 0.3547670819612862, 0.61621973295356, 0.3827236502022277, -0.026982197187323212, -0.8012578751974493, -0.2966971969125418, -0.8934163156790208, -0.10683072131637877, 0.5402695147163171, -0.5008176967470193, 0.954809971070091, 0.9861501398391805, 1.8597995385626278, 0.3112638924497583, -0.1734955842590357, 1.0449785238086058, 0.39415752415720223, 1.0235100502303807, 1.6054218305871506, 0.6697908273036344, 0.07133017755250318, -2.5149574068757534, 0.0010964507319998788, 0.033713034072856, -0.5516271298180948, -0.573903276338475, 0.5425355515454258, 1.199828709465652, -1.2507217088231717, -1.4915426724969993, 1.118008315567027, -0.8317261670279177, 0.1250867755721105, -0.5050587879808534, 1.242412457851607, -0.2624281054377186, 0.06795831788308614, 0.141846136437241, -0.6759467218661444, 0.026927019746795035, -1.5369003259536371, -0.0017533570481514083, -0.5480936809866667, -0.8139604228715203, -0.28435953930932156, 0.03663018084325268, 0.6791199117684278, -0.12308257049243851, 0.1278087356451014, -0.7756295687979554, -0.27126297735333765, -2.268691167481056, -1.5665466476601666, -1.027319278476587, -0.012656307748369637, -0.8674838080801595, 0.06978992475635289, 1.6819743373367968, 0.004007469082636497, -0.5376180623829763, 1.7190520587435827, -0.9936541250823325, 0.5264950262906515, -0.024348539993408677, 1.002063739249798, 0.9878240664944088, -0.5377826330115045, -1.1455413513968953, -0.084095786177932, -0.14096088092967163, 0.5738759480669633, 0.016105160927563825, 1.958003566642146, -0.9675410300783125, -0.29865768882151783, 1.2740665427233941, 1.4972787451828684, 0.6329021127385605, 1.1754158494161278, 0.6873971381222655, 0.08012664968262753, 0.0044016520893418115, -1.418544194134882, 1.5051340719243391, 0.1481788253408577, -0.9042316271857797, -0.5506803391687287, 0.5595617981751465, 0.0031900313238198675, -0.412231662637443, -0.7302550390924858, 0.6596332680682039, -1.341121292639967, 1.129439359074895, 1.5176196575837957, -0.25804968729661704, -0.2148001490798758, -2.788725003372491, 0.5360590317521099, 1.9342845378233364, -1.103258269622585, -0.2356974045401276, -0.08873713772492366, 0.2894516841026044, 0.7472744242997763, -0.06550978486814026, 0.42222998061760014, 0.124748607323638, -0.5404029800673861, 0.5130760752058603, -1.743810688142063, 0.40599855166422094, -0.6475527873578435, -0.07121434988244037, -0.9456960476032927, 2.007889380562752, -0.30680460150774624, 1.157653555326605, 1.1470096596856802, 1.0406014878208187, -0.7301738712155882, 0.5604863615599263, -0.4159939009638849, -2.2728269032760595, 0.0056637630498202925, 0.7221064057117427, 0.3600893752166163, -0.8134696352657782, 1.3879451335491706, -3.467713932306234, 0.45454933257035884, 0.007356374222710837, -0.7072106860950309, 1.1946599789702026, 0.3096114310487043, -0.219950137766398, -1.1536958856093964, 0.05940820672733518, -0.44481039098182246, 0.033174722456102215, -0.0015808875820007616, 1.3988456729467724, -1.1838505711357903, -0.06338167386569439, -1.5680493336423305, -0.1648871741074242, 0.15273772590654242, -0.6124401956575275, 0.3094087261352003, 0.1767232467852616, -1.1495010428049592, 0.9147500881818963, 0.21331329027873908, 0.21503783356311404, 1.557886526775851, -0.695126990107894, 0.03429147717311167, 0.34573972620820814, -0.4835144367795123, -0.34411098135466944, 0.9226148573641805, 0.47562773629131266, 1.3806905610545002, 0.4790125666975117, 0.040631718712756934, 0.7056155861244807, 1.1769831238710138, -0.3937231671707402, -0.13981269321865858, 0.7013880414858279, -0.1842816241858368, -0.5174254360616395, 0.002686167446442856, 0.07858320400876335, -0.5912296932663695, -0.8710462555080357, -0.4824942792683889, -2.073454462615126, -0.08355494319351482, -0.16289156154202816, -0.1950015453695246, -0.8428486921571201, -1.1470959140138632, -1.2087936493352258, 1.1175744103523182, 1.4327050433880686, -0.0779873789344921, -1.38539914777236, -0.022274561387126062, 1.0958886023781456, -0.026057617212766466, 0.15133035538192302, -0.3513817852730094, 1.445545295982938, -0.40995060560792385, 0.31729175064170606, 1.5670203498870503, -0.7655894412856844, -1.0356181573479435, 0.0016869934841795271, 0.9523597933920448, 0.5448750661365417, 0.46934286008010506, 0.010396773520485295, -0.004927162380680946, 1.6015194528095957, -0.15872601725400606, 0.03262115530177427, -1.4176995477415044, 0.6386082796764364, 0.6468404895540247, -0.03364246437721516, 0.11165241059029367, 1.555014098266316, -0.9696258071745469, -0.8068068633225279, 2.0909458072302987, 0.17331184437351302, -0.6775111456748117, 0.5444405558404357, 1.158716670793155, 0.8563263270072103, 0.35766325518734804, 0.04496326980661702, -0.04664464354741464, -3.279190858552412, -1.85641550721109, 1.2906622144827746, 0.6315516691783875, -1.1582905635678662, -0.09851602002683463, 0.19663798175120067, 1.3586025807790865, 0.28586980299479536, -0.02549495320330783, -0.07997435672714916, 1.3574795515158358, 0.17470381957657746, -0.49453786541558614, 0.1554583478506528, -0.7860701263150647, -0.0912845577187955, -0.0764061735344364, -0.8110210727470418, -1.632102121507118, -0.4852693126432101, 1.888146519855673, -2.3983234617247353, 0.2909825870714127, -0.3354235981410748, -2.190954648983724, -0.25664906049900027, 0.19234046043548803, -1.4107748557392383, 0.2339166392596895, -0.23032080561633544]