# Coefficients for Maass form 4f56980788aece2afe00003f, downloaded from the LMFDB on 19 April 2024. [1, 0.7071067811865641, -0.5773502691896373, 0.5, 0.12452562647000064, -0.4082482904638491, 0.3062413326817695, 0.35355339059326846, 0.33333333333335313, 0.08805291490843309, 1.7480464170071284, -0.28867513459483013, 1.3146140005188183, 0.2165453230188937, -0.07189490396352106, 0.25, -0.5161005509093795, 0.23570226039542205, 0.9404872448385534, 0.062262813235816054, -0.17680851586217167, 1.2360554752992152, -1.4479299952319424, -0.20412414522739147, -0.9844933684162761, 0.929572474739461, -0.19245009024948312, 0.1531206656963417, 1.7211729925806891, -0.050837374125328426, -0.760570844694934, 0.1767766952966832, -1.00923506941508, -0.3649381993221068, 0.038134893803181115, 0.1666666666667323, 0.26560991504158854, 0.6650249084444604, -0.7589927470800205, 0.04402645745461345, 0.6351494472970702, -0.12502250053606243, -0.17383528168398416, 0.874023208504447, 0.041508542155625126, -1.0238411183060232, 0.5927012018732621, -0.14433756729475655, -0.9062162461577015, -0.696141936788653, 0.2979707919911958, 0.6573070002709743, 0.0723422690269385, -0.13608276350515677, 0.21767657520104622, 0.10827266154060748, -0.5429905640561287, 1.2170530953548, 0.7072184471406436, -0.035947451852227696, -0.6125802489782192, -0.5378048016399003, 0.10208044431665064, 0.12499999959335065, 0.1637031325064981, -0.7136369622848321, -1.496707839729269, -0.25805027630802546, 0.8359627738095226, 0.02696544597267632, 0.27828188082577743, 0.11785112808548574, 0.8979499088559977, 0.18781457207439672, 0.5683975112379438, 0.4702436224162366, 0.5353240643327748, -0.5366889183302234, -1.4611387175775756, 0.031131406623383182, 0.1111111111084538, 0.44911848125859616, -1.121966849454621, -0.08840425792052214, -0.06426774445447611, -0.12292010643085102, -0.9937196911160417, 0.6180277376483639, 1.0339867548141033, 0.029350971626343352, 0.40258914346683666, -0.7239649976022786, 0.43911578190489226, 0.419103039140444, 0.11711476360853548, -0.10206207278205719, -0.08916906860958147, -0.640791652894688, 0.5826821388348573, -0.49224668424952417, 1.0779461271324713, 0.21069716787614978, -0.6100793336330684, 0.464786237160023, -0.022017190085519778, 0.05115370892989527, -1.0992436757827408, -0.09622504639841173, -1.0497526887710973, 0.1539205823682572, -0.15334996096392586, 0.07656033138329627, 0.22078255040539196, -0.38395231283019104, -0.18030438971510684, 0.8605864967410394, 0.4382046668277037, 0.5000789598334879, -0.15805132047210846, -0.025418687100051046, 2.055666275998536, -0.43315964776947247, -0.3667037044160851, -0.3802854224272678, -0.2471202798279117, 0.07218177433727048, -0.2387866916604628, 0.08838834775779192, 0.10036384658435855, 0.11575559486139914, -0.8993150707775457, -0.5046175341479014, 0.28801606668517066, -1.0583322633120593, -0.02396496859431691, -0.18246909983849563, 0.6515550565228545, 0.5911149462237217, -1.4202483251841045, 0.01906744643882235, -0.34219619955520825, 0.19677500477395832, 2.2980062948604707, 0.083333332288024, 0.21433014356792343, 0.6349464718286295, 0.5232041985838262, 0.1328049551879887, -1.0240097720729107, 0.40191773333491293, -1.0385715872984025, 0.33251245547987496, -0.17203351682184068, 0.37853127602198555, -0.09471056086346961, -0.37949637352843363, -0.3955147998574883, -1.0331810953144727, -0.04176682874647287, 0.022013228550486885, -0.44341601102977785, 0.07856742037396731, 1.6550536567118037, 0.31757472467708103, -0.1256756298230044, -0.7933503680645758, -1.041738557274254, -0.06251125044682154, 0.7282099697122001, -0.045444157878644455, 0.31349574825320325, -0.08691764160741217, 1.0452378694312967, -0.702665933664569, -0.3014925607226214, 0.4370116039466607, -0.4083127606290987, 0.7311390449817949, -0.24209753928698335, 0.02075427137333234, 1.011982467387894, 0.2846735076155845, 0.3536733731737675, -0.5119205578967162, 0.03307522818741986, 0.31050174464874686, -0.9021677149496088, 0.296350601097737, -0.05893617233316713, 0.08281264335429821, -0.5115167030346256, -0.07216878295888425, -1.3324028882672199, -0.06305205310411517, -0.09451404841383187, -0.45310812332537526, -0.3492723167303296, 0.412018492577251, -0.7130149690083192, -0.348070968423252, 0.8641246736303453, 0.7622230174158147, 0.5270943118570224, 0.14898539659940865, 0.0790923843683743, -0.43139123527086853, -0.48264333143812066, 0.3286535012618863, 1.6440153629275507, -0.015568505721473041, 1.776314941906205, 0.036171130875538964, -0.16066612115402268, -0.7772826586512883, -0.02164695233697064, -0.06804138228501548, -0.2329182234190736, -0.7422872468385322, -0.5184316149928325, 0.10883828836262265, -0.6784730105690288, -0.10843479332307042, 0.19899770723355503, 0.05413633046934414, -0.32816445519470644, 0.15611683974933213, 0.4575344934123309, -0.2714952867776187, -0.6978580107830664, -0.1274944583601929, -0.30906949073446066, 0.6085265430550881, -1.122377451271495, 0.3098574949890578, 0.07380648943159403, 0.353609223769447, 0.8435888258585196, -0.111759152445856, -0.6886106311575472, -0.017973721457489576, 0.6593555832085528, 1.453575568454665, -0.06415003145579723, -0.3062901213202357, -0.11284714215796415, -0.25929866901576804, 1.2363776983343773, -0.26890240206845273, 0.6477678634205706, -0.17474042486858046, 0.5821085926947536, 0.051040221889354864, -2.5310488409496634, -0.16884768878905188, 0.037105001452877824, 0.06250000072475517, 0.3522053525762084, 0.07096795706125184, 0.08134073542713045, 0.08185156695377917, 0.5737243300281945, -0.6359117871626442, -0.36053664179512823, -0.35681848516705883, 0.009008467613761315, 0.203658111855772, -0.5969725282679437, -0.748353925348233, 1.383812112838963, -0.01694579743414262, 0.05264937652956524, -0.12902513042578814, -0.23243496185497256, 0.4607189973215388, -1.7209401051162816, 0.41798138537224866, 0.651854492304992, -1.0042672220052595, -0.25352361510687355, 0.013482719979678502, 0.8603617370764418, -0.24196925091394636, 1.303968570683929, 0.13914094340418, -0.06761623989206268, 1.6249358357089716, 0.19450901836326898, 0.05892556218635746, -0.7336402233507794, 0.15155430066691467, 0.0514817856110034, 0.4489749442646172, 0.3679063293265189, 0.36996122938112286, 0.08806682102947455, 0.09390728235181572, -0.33641169431476825, -0.7240842518584183, -1.9034690408470252, 0.2841987584207822, -0.05323555382470678, -0.7343810121855341, -0.6223524851291579, 0.2351218058704177, -0.0762819401363784, -0.12164606575281202, -1.0113396629503755, 0.26766203851801745, 0.35222946737229305, -0.06697048446745943, 1.745012755185681, -0.268344454784726, -1.7833902288885404, -0.2796711895915177, 0.012711627854832725, -0.7305693594249779, 1.0946108638287368, -0.02953361523364228, 3.0086902915671816, 0.015565705473537141, 0.6346486277047264, -0.31354246557726306, -0.48538598586847287, 0.055555559007677564, -1.2942287632446123, 1.1702996649399395, 0.6060749903155741, 0.2245592364385179, 0.18150960730032084, -0.08886610291089428, 0.2089865424859524, -0.5609834286069806, 0.08853664466482919, -0.736620402222014, -0.18637847893867357, -0.04420211781336545, 0.16470387898541372, 0.5149222078082003, -0.12746886974190286, -0.03213387070941856, -1.3295131404081062, 0.2216749712853486, -0.5837622057969886, -0.061460051554428304, 0.10409878427615213, 0.7390947876890481, -0.4350841286525496, -0.4968598464509794, 0.9073941181322772, -0.21318744313708518, -0.25299757521027266, 0.309013865206756, -1.2747942911109278, -0.2887207230429483, 0.034653228298620845, 0.5169933898998588, 0.0912509667215781, -0.17118880678681966, 0.46377755634651785, 0.014675475321299317, -0.11548373812239472, 0.7155796710707917, -1.1868394807571538, 0.20129458644650755, 0.1118177586940752, 0.25008485700513855, 1.1440647484044775, -0.3619824942098772, 0.2117164769946268, 0.02338771651787445, 0.022154204594645645, 0.21955788132336132, 0.22843234130371828, -0.6379289267755873, 0.1426749683469121, 0.20955151771228198, 2.2626781121032575, -0.04167416884243823, -1.3327345935366663, 0.05855738256068344, 0.13786355195951513, -0.361696932997336, 0.140939279333348, -0.05103103811292558, 0.06666156722791886, -0.9421511165472307, -0.05794509527504328, -0.04458453442728262, -0.4662769175815193, -0.06683155280854294, 0.7472774988067544, -0.32039583540783795, 0.5192197850338216, -0.24697280757869552, -0.18194923339122673, 0.29134106326625864, -1.3597945374927112, -0.5041777211031719, -0.16628616329364332, -0.2461233380441957, -0.23224289351130462, 0.6110284189513576, -0.9998570859795146, 0.5389730532841888, 0.013836192944468206, 0.37271195162971427, 0.46429846330253327, 0.10534859684056233, -0.19570016084355266, 0.055926762554403965, -0.3761754881477876, -0.3050396595133858, 0.21657952436236286, -0.34128035995962985, -0.1397136355573013, 0.23239312704620174, 0.8199807513267481, 1.1624944071000398, 0.04305975881644182, -0.01100860017100925, 1.5244494029849749, 1.2560443395748009, 0.19756706145599892, 0.02557686002863422, 0.5080975714752844, -0.11360810049756775, -0.18759739640653866, -0.549621840923043, -1.3267545335573547, -0.015306702995146998, 0.026143468900578747, -0.048112520251533196, -0.6190469399408208, -0.16469805217836803, -0.12374356891246999, -0.5248763478207121, -1.3617596753187795, -0.36658651788608637, 1.3865432362864192, 0.07696028789395548, -0.30207208097184857, -0.4797528605043978, -1.7107810026270405, -0.07667498166945887, 0.12875784555382505, 0.14071261600959503, 0.5912123232512384, 0.03828016268465257, 0.08198932515087458, -0.23204730467072407, 1.1102707298175214, 0.11039127284721909, 0.5996196032508875, 0.3235257256886603, 0.05013267497902852, -0.1919761392770778, -1.391154837301379, -0.49346012678852674, 0.0993235796215825, -0.09015218797246184, 1.2198927107001762, -0.21854513522550587, 1.878991157680044, 0.43029324756453274, 0.0546811741123795, -0.7936407109715186, -0.2858184958085982, 0.219102325030105, -0.4583538073244594, 0.052189070631535536, 0.22835056905512646, 0.25003947658013237, -0.3038721394445926, 0.5965073745928748, -0.925903456322736, -0.07902566347883694, 0.024114078959966395, -0.4869212352789369, 0.9893327690931817, -0.012709344449207738, 0.34917450885552287, 0.466234798490964, 0.25600634478304557, 1.0278331342341613, -0.01110383707586264, -0.04536092663782699, -1.5854706514783323, -0.21657982599608477, -0.9555456712672555, -0.07979497887786009, 0.18174456460614918, -0.1833518467178983, -0.8882983323755124, 0.8742510541890268, 0.07255885224330051, -0.19014271219112816, 0.0852214180520211, 0.458041049917871, -1.0470547083321373, -0.12356013523728733, 0.6014480397266656, 0.41161294510448476, -1.0467902805149982, 0.03609089641562315, 0.13423192589226282, -1.7897217949129973, -0.42043222095414595, -0.11939333191519058, 1.6362113784453787, 0.02623719673157693, 0.27498937484298946, 0.044194176050898426, -0.1809968519764877, 0.24904678822809562, -0.07597050115999726, 0.05018191815281986, 1.036069214021545, 0.05751658614247288, -0.6034683605852486, 0.05787779309355609, -0.5895749136135624, 0.40568436147096987, 1.8440172544454525, -0.44965753018641086, 0.17406681549952419, -0.25493788832738923, 0.3925310188167565, -0.2523087562230498, 1.0965012619091565, 0.006369946326874537, 0.23573949123626362, 0.14400804783041019, 0.8349763487631096, -0.4221233220552906, -0.13688401289247262, -0.5291661210947018, 0.1397750890349188, 0.9785029252993668, -1.584108062679626, -0.011982479512979774, -0.4073356633704894, 0.03722873655724457, -0.5842683501030191, -0.09123454718772103, -0.13072111516107646, -0.16435633369623792, -0.9231195934795787, 0.3257775270339023, -0.2041934168592627, -1.2168884305739072, 1.6187412501465432, 0.2955574787514055, -0.44746107760457743, 0.46093072695087034, -0.019096004596114585, -0.7101241518205196, -1.8248835764954696, -0.179268270530426, -0.2285262996981709, 0.009533739399527482, 0.5208667747564922, 0.6083675980236565, -0.36424588382827794, -0.17109809997120917, 0.027493087861912943, 0.9220450225595271, 0.034026809000633776, 0.09838750761432931, -0.27495479612358986, -0.0478119123585815, -0.44594834370480396, 1.1490031577477562, 0.29532429597488047, 0.13753864961887183, 1.4254774795270981, 0.041666658801967474, 0.2411161578891573, -0.5187619634266188, 0.7692631820742261, 0.1071650847515011, -0.34359262397711365, 0.03640313389481259, 0.12645763214766187, 0.31747322638129266, 0.054567724712471496, 0.26014904815822415, 0.5640801024874937, 0.2616020918874198, -0.7153071835796349, 0.06227263108217123, 0.20165248478141082, 0.06640248389283178, -1.0096700345161564, -0.23787899086206105, -0.019681433652882368, -0.5120048987812102, 0.411659390596866, -1.3459558614684937, -1.1234688744641774, 0.20095885451579543, 0.9873261023681327, -0.037643226393049393, -0.4989025974366459, -0.5192858001657487, 0.25598312332566364, -0.44006965661261055, 0.7079454139203395, 0.16625621999667456, -0.30431804387006073, -0.05393945813586194, 0.779173293694732, -0.0860167741137734, -1.0621041526138233, -0.7151251337174085, -0.04566400634768185, 0.1892656430248623, 0.28143448853302055, 0.2490638467045547, 0.4075312888130002, -0.04735526976914841, 0.27865425035330715, 1.2339103627414916, 0.3166494750445636, -0.18974818620176895, 0.9537205703946656, -1.2610473213230544, -0.9491727127262757, -0.19775739320462848, -0.137081422260973, 0.008988489425805758, 0.10628029950598261, -0.5165905288861455, -1.0255559263223164, 0.7740067808821767, -0.029735047190310126, -0.02088342894566031, -1.1913245498915939, 2.1274653030599393, 0.09276061700260929, 0.011006608067942906, 0.7595561723528651, 0.44876433613114314, 0.501529301469604, -0.22170801204476015, 0.012497870219746953, -0.34321972004745355, 0.12774566002093435, 0.039283721026058885, 1.2362506615603919, -0.9151579317476852, 0.13447543541882487, 0.8275268045427606, -0.14279660547913323, 0.4285596953645225, -0.11198776032701288, 0.15878735002630984, 0.29931664316535306, 0.12834667433166377, -0.4122701920359108, -0.06283781272873332, -0.6944981239510107, 0.14777579110135172, 0.3917165797033096, -0.3966751953321694, 0.03586538748113848, 0.06260485122828312, -2.4921379912808237, -0.5208692899795075, -0.11489137370549633, -0.13178947219461182, -1.070818741562909, -0.03125561162739464, -0.11997509622312814, 0.1164632219387687, 0.18946585413884426, 0.36410497291028737, 1.122753926028393, -0.09013408460462285, -0.02730726745626634, -0.022722072929486845, -0.26415768196191464, -0.9401077459521694, -0.3326263724511993, 0.15674789364322697, 0.08113531561855507, -0.41278222932940767, 0.40290850276526813, -0.0434588220219038, 0.09510215428788207, 0.0736089682440538, 1.2373095830444474, 0.5226189367204422, 0.17844134884719384, -0.3076509458619058, -0.1768573010711391, -0.3513329654082852, -0.327800974003432, 0.6416245188256846, 0.6480049361465462, -0.15074627964624834, 1.7942224075961257, -0.1788963106996205, 0.2498027193948661, 0.21850580232543357, -0.042612192211626335, -0.9014156749602948, 0.3301116503898744, -0.2041563762974946, 0.6085902546082094, 0.024503534572497713, -0.48704625639448523, 0.36556952140299487, 1.101253353205583, 0.06452415561942206, 0.2861606965420139, -0.12104878868510528, 0.3975695202992132, 0.3279402517735992, -1.997608301617505, 0.010377149051235416, -0.18683152219274837, -0.08165934220306002, -0.380679120748451, 0.5059912263603655, -1.694483394024488, -0.8392222483419798, -0.22150935054862883, 0.14233674920494682, 0.03703704374553058, 0.07906710151959398, 0.08971648433212683, 0.1768366888622183, 0.338932450455922, 0.8089759520751256, 0.0651523212738216, -0.2559602935548748, -2.6163147720023963, 0.14970615248256663, 0.6723437571399434, 0.01653761992420567, -0.7138230004068634, 0.01566539116645663, 0.5953762918837355, 0.1552508724814223, -0.12751544813504392, 0.16152603694969261, -0.3739889533657531, -0.4510838703978245, -0.33663384830714854, 0.10088643775003886, 0.7126473009236006, 0.14817528793705423, -0.3360805722371162, 1.5999550536481137, -0.12932880235444838, -0.029468067454812636, 0.12960922367616945, -0.9423856758955022, 1.4613017337484562, 0.04140631070201678, 1.2596011224999848, 0.09748426232930396, -0.3214776589626091, -0.25575836372830163, -0.021422585033406275, 0.09965912196184984, 0.9297192707524253, -0.03608440397484735, -1.4913437788613328, 0.04713685149057205, -0.20334587132363313, -0.6662014443745974, 0.7076896757355042, -0.040973369877688966, 0.7487769574943213, -0.03152602310746466, -0.046962102144367614, -0.3297075837709332, 0.5973499553683942, -0.04725702107467286, 0.48644964735673574, 0.5284049560099581, -0.33123989221421124, -0.22655404687824657, -0.04925174438562517, 0.3671438616505967, -0.9948237630848801, -0.17463617665785952, 0.20815591862251687, -0.12865754250412173, 0.067612740634694, 0.20600923235203292, -0.8053065177900839, -0.9615199555910969, -0.005201033801726685, -0.35650751383881696, 0.8974081566021442, -0.11758203578140158, -0.305893481100541, -0.17403548056167636, 0.3446622400217473, -0.16422052705166437, 1.569658131962308, 0.43206234491137696, -0.05521666047055962, -0.7070057130331079, -0.7989442946674087, 0.3811115185516344, -1.6436943941929274, 0.009783654423666088, -0.4991831917327405, 0.26354715248216665, -0.030397146678771116, 0.328308594328058, 0.20609658934801608, 0.07449270259602096, -0.16348985397382815, -0.13838088770029483, 0.13419637519426061, 0.03954619360904202, -0.3117061758715266, -0.26599620954929176, -0.4681754125246857, -0.21569565047061948, 0.9935852383449729, 0.15314484563491673, -1.1365118390952327, -0.2413216632280433, 0.8408532745181546, -0.09879245983312744, -0.37634837133804205, 0.1643267303718667, 0.46769873112289634, 0.5798139337216618, -0.1297231493894173, 0.8220076763629872, 0.14637193436671558, 0.030447848009757094, -0.1456545188672732, -0.007784273795293736, 1.962436470007861, 1.07794852140069, -0.49673008075163333, 0.8881574725709839, 0.09068080077420344, 0.13970100646649167, 0.6295299709874882, 0.018085572180840347, -0.7528466163288909, 0.3592792281694029, -0.3845845698940182, -0.08033305371929683, -0.47798602222174524, -0.13265140388113686, 0.039038255811835225, -0.38864133997598443, -0.4365132921699546, -0.9381571309174956, 0.5270134303754153, -0.01082346321469718, -0.11229984803275703, 0.01848622666019645, 0.47758301194173924, -0.03402068845713607, 0.1301588849522676, -0.43773230778779004, 0.423567385114995, -0.11645911922972853, -2.554138310912745, -0.08749990897917005, -1.9675930858565533, -0.37114362897404507, -0.02972303672312497, -0.9629095162147628, -0.07567844533836195, -0.2592157967221068, 1.453961163558947, 0.9804341218245439, -0.21241083618521153, 0.05441916296257349, 1.862086098729113, -0.2135972195200549, -0.005372093609223142, -0.33923649362317043, -0.05084541826689493, -1.209704844571177, 0.5407003997403843, -0.05421737044181462, -0.07312637461638583, 0.09104556916226161, 0.1942273889974809, 0.09949884003372218, 0.5574279248933708, 0.41805025129034024, -0.03014734316713711, 0.027068160099686003, 1.0989683438705555, 0.057975208601291, -1.3090740031412134, -0.16408223358887744, -0.037335884076480155, 0.785079951244022, 0.030735580573907205, 0.07805840244458011, 0.1260177505662553, 0.4239950851569098, 1.5288874710641247, 0.22876722512733338, 0.3593153779939863, 0.035449121070375324, 0.49141596650011343, -0.1357476485736646, -1.9612501272733458, -0.9836950015937845, 0.04404139470802503, -0.3489290019634405, -0.2754074387165626, 0.0702323996842655, 0.5703353775422585, -0.0637472638019693, 0.5838972299807075, 0.8625943958541636, 0.36583322071525515, -0.15453472546393085, -0.26149120680258997, 1.3286473997002455, -0.20335982988374365, 0.30426328089998805, 0.29136305728519474, 0.03866541957094224, -0.8522848122340048, -0.561188734654062, -1.0074835802013782, -0.20210420491491723, -0.11234299177605717, 0.15492873736560026, -0.9788386161205189, -0.3241050802833601, 1.029640828920037, 0.036903240067305346, -1.446089880438892, 0.16146824573186916, -0.9196519257141536, 0.17680461083342622, -0.007339071883800023, -0.21487003957167208, -0.2911349376093318, 0.4217944253869184, 1.1804575260256154, -0.6547126229381824, -0.6319738871291293, -0.055879594272770665, 1.7885405400186527, 0.017051235018949604, -0.06369692952748979, -0.3443053235002839, -1.7370681477490517, 0.6995639245163142, 0.19953308228277752, -0.00898686899043421, -0.42153196984183006, 0.24690362873081728, -0.36641453395887763, 0.3296777951918453, -0.16591830772222485, 0.18102380934380602, 0.3381412833676018, 0.7267877973883142, 0.2802377496151463, -0.00785159569192586, 0.5843704588322549, -0.032075018389141785, -0.4349387245295861, -1.12109702632927, 0.7472232806194469, -0.15314506937949496, -0.2911618636795235, -0.6756728363286387, 1.8074568470237, -0.05642356941026975, -0.3499175739291954, 0.12851281477605683, 0.06597563687261386, -0.12964933374689278, -0.043493367801564084, -0.628121741522895, -0.10479463078669013, 0.6181888456560433, 0.2517013291830137, 0.051306837910350366, 1.510728158121862, -0.1344512226645073, -0.1206584221451741, 0.060260659269250554, -0.08878865085245327, 0.32388393723249875, 0.8634533467182364, -0.7403795173482449, -0.0511166467476176, -0.0873702114061664]