History of Fourier coefficients of Maass forms of level 1

   - - p Numbers:-  '9.533':-    '2':-      number: -1.06833355122357080666928622627694936009954418855042731123159 +/- 1.00e-59-      comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.1}[1.0.1.1.1]-        has odd symmetry and Fricke sign $+1$.-    '3': -0.456197354506118383993146932026287174769667991907802558455934 +/- 1.00e-60-    '5': -0.290672554985070175688117486718684866515616326895321600724241 +/- 1.00e-60-    '7': -0.744941612147579895111694931328246048135008462597099829011756 +/- 1.00e-60-    '11': 0.166163596614439771585386447968304032987695532334476291913951 +/- 1.00e-60-    '13': -0.586688527862709130835898730215107840213448937034907568807196 +/- 1.00e-60-    '17': 0.570695802472205582381752261531683984454477413915946074923643 +/- 1.00e-60-    '19': -0.981938586511859209084291380562289853364673620031835987864457 +/- 1.00e-60-    '23': 0.662968958592475655673792389148721601842942331351712999941227 +/- 1.00e-60-    '29': -1.04868856398186295141183502810455002240156175042313273981364 +/- 1.00e-59-    '31': 0.786268441383978014188203086046187113763304943112590796359269 +/- 1.00e-60-    '37': -0.448198119911044556540808842127413069868282639714950558425852 +/- 1.00e-60-    '41': -1.19825263816603552393517797200711968391725727869496490338287 +/- 1.00e-59-    '43': 1.56203091638302357285528069262766845581640542849755016669681 +/- 1.00e-59-    '47': -0.603152239500140299510836534225618595333360174431911573891611 +/- 1.00e-60-  '12.17':-    '2':-      number: 0.289251871462399267773269780310234658693451892185490584912430 +/- 1.00e-60-      comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.2}[1.0.1.2.1]-        has odd symmetry and Fricke sign $+1$.-    '3': -1.20185876101181356357202808486615429883297966139415813778368 +/- 1.00e-59-    '5': 0.0395527072874140832754340690889726126636625500926284405228757 +/- 1.00e-61-    '7': 0.448133104491298844785265657009447836619057771693539411885904 +/- 1.00e-60-    '11': -0.691450783394931735373487088545189033574002169557381773602656 +/- 1.00e-60-    '13': -0.802780003332336260758681160546378902337301290802991167409919 +/- 1.00e-60-    '17': -1.03767537346331747877021673795120727847211798380936877361944 +/- 1.00e-59-    '19': 0.637178807167946560284741083224594483817780191468836240234850 +/- 1.00e-60-    '23': 0.508798692369429706459050548164928906329556721279043300414745 +/- 1.00e-60-    '29': 0.779996881214532090387175327811582179979550963549276684790299 +/- 1.00e-60-    '31': -1.59801358370870288050212349971523533991733587735512032670003 +/- 1.00e-59-    '37': -0.429215160956814643573655197048060009815842493648404176242214 +/- 1.00e-60-    '41': -0.548524187705905343287633852332195229106935462862420712070673 +/- 1.00e-60-    '43': -0.489355022263905723678071904981036531818433664152700313271513 +/- 1.00e-60-    '47': 0.816868005896020044944221262925190684709350238762314939034228 +/- 1.00e-60-  '13.77':-    '2':-      number: 1.54930447794129622450746926287076707892155702885038788148649 +/- 1.00e-59-      comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.3}[1.0.1.3.1]-        has even symmetry and Fricke sign $+1$.-    '3': 0.246899772453980898011441050996101949008024809807106402817698 +/- 1.00e-60-    '5': 0.737060385348301086378778483390181480763698381648229361735816 +/- 1.00e-60-    '7': -0.261420075765216142299887246426986520625437198055093758344859 +/- 1.00e-60-    '11': -0.953564652617777476767573709662167965971573715654626906491413 +/- 1.00e-60-    '13': 0.278827029162325172187570322224228144409225388953957618475497 +/- 1.00e-60-    '17': 1.30734171453365862411595596765660813299770850418110837425285 +/- 1.00e-59-    '19': 0.0925585825082122607636913236432938192295256204387983752391964 +/- 1.00e-61-    '23': 1.13806852140661122544474802155062440477757729388459877156367 +/- 1.00e-59-    '29': 0.752113845466087521270009548145857214895821037078724175929672 +/- 1.00e-60-    '31': 0.0248519535131855197887868849912016520790990962282749248721339 +/- 1.00e-61-    '37': 0.199265655590814182604966191824380295916530411633798020800361 +/- 1.00e-60-    '41': -0.304032996755827813139735322907195321727236849987783805579593 +/- 1.00e-60-    '43': 0.783239363516272674070507223803234924489484029232860728069681 +/- 1.00e-60-    '47': 0.360568410494812125778218879725751456700509835277241637354386 +/- 1.00e-60-  '14.35':-    '2':-      number: -0.230915191201460703714219380031419467998184746865180273751158 +/--        1.00e-60-      comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.4}[1.0.1.4.1]-        has odd symmetry and Fricke sign $+1$.-    '3': 0.695594986264415169582285355831973449300553444578082058519561 +/- 1.00e-60-    '5': -1.29828459887189402076614369307268461468644684122963645878746 +/- 1.00e-59-    '7': -0.483281981773519835241510123784720196989212137702711094845189 +/- 1.00e-60-    '11': 0.177498072885612436225956568336028494067180663724899061587674 +/- 1.00e-60-    '13': 0.625443542219883620988066338264907650732458772674612142024968 +/- 1.00e-60-    '17': -0.151559498933736667055111870064224525152787966742362272180137 +/- 1.00e-60-    '19': -0.980264796515567681143509716998581587205529399284366646013737 +/- 1.00e-60-    '23': -0.568015293731010164173103974436305572552132392832247233932676 +/- 1.00e-60-    '29': 0.381344552453384028477469277827224518951719843625501856826225 +/- 1.00e-60-    '31': -0.129584231192542045515350456984080528539151895363638858710699 +/- 1.00e-60-    '37': -1.48602367503192007961749666097179788857436682672811183929467 +/- 1.00e-59-    '41': 1.29363735890056729559784457202826040819820162954992077503552 +/- 1.00e-59-    '43': -1.38886997288110025535460592840702471664901059592938559269398 +/- 1.00e-59-    '47': 0.0531024292757065501235441199939858202655397919240983259583507 +/- 1.00e-61-  '16.13':-    '2':-      number: 1.16185559241585099379817152285831454241338534663731538102900 +/- 1.00e-59-      comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.5}[1.0.1.5.1]-        has odd symmetry and Fricke sign $+1$.-    '3': -1.28197256115333231232245321313240977705062096148593711868574 +/- 1.00e-59-    '5': -0.756806413858300196301334598261889959803210123538774192667933 +/- 1.00e-60-    '7': -0.298519116597898187128739770296986502428960140838277552941216 +/- 1.00e-60-    '11': 0.764090704453398061637191894065979429490696872767281358929118 +/- 1.00e-60-    '13': 0.162602317648074694793336968904842716998684390290153412712501 +/- 1.00e-60-    '17': 0.416417432526531905797701049311209308405735818985970864616366 +/- 1.00e-60-    '19': -0.755676384083098730418142448214050374605690739831545055063358 +/- 1.00e-60-    '23': -1.60164448770225523811303078658724153865551022100834089233288 +/- 1.00e-59-    '29': -1.48437213108248775789838860479264225231710924519356088809970 +/- 1.00e-59-    '31': 0.959375991064966610390554587135569339178951502616606359482592 +/- 1.00e-60-    '37': 0.400473807470319149259948775445736168558271915669044579803854 +/- 1.00e-60-    '41': -0.390411275673835267717993314382221652648665885763084845851321 +/- 1.00e-60-    '43': 0.158052512803159740362051786522180303279384321488395884376627 +/- 1.00e-60-    '47': 1.56173288212153212944309166560681124753039565162752620900846 +/- 1.00e-59-  '16.64':-    '2':-      number: -1.54022782571692169738175161393975255182569862497982844833735 +/- 1.00e-59-      comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.6}[1.0.1.6.1]-        has odd symmetry and Fricke sign $+1$.-    '3': 0.977492591468552530610844247610894347575947500710024355345131 +/- 1.00e-60-    '5': -0.105242362627703347431924530777387201480587523498272463418029 +/- 1.00e-60-    '7': -0.692640859085130185371412024291218228414985184214417581153535 +/- 1.00e-60-    '11': -0.760201275952541655532440225974553786821791343447324603571268 +/- 1.00e-60-    '13': -1.57043706204610679575024811139751153504485057265428826309386 +/- 1.00e-59-    '17': 0.281889822617368166549468046278075604209498542582427494630839 +/- 1.00e-60-    '19': 0.104046090515609362887713962042986127561340097155882295098315 +/- 1.00e-60-    '23': -0.143879470635166273762064766274397666353932773088377434591526 +/- 1.00e-60-    '29': 0.791244081318887885937458808257215498523413819123700534029791 +/- 1.00e-60-    '31': -0.757175513640587194526344263717219492460846904180997191082308 +/- 1.00e-60-    '37': 1.27255986412066140583463447660484222891878340984426750380809 +/- 1.00e-59-    '41': 0.547489986132042028333467663595051148103741400427464647182744 +/- 1.00e-60-    '43': -0.235422983086000779021874246223026690756874592919953705791540 +/- 1.00e-60-    '47': 0.565743802161055015483656964405766101010454680856719873925731 +/- 1.00e-60-  '17.73':-    '2':-      number: -0.765458056600338169232569663961409982938579592871925273098483 +/--        1.00e-60-      comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.7}[1.0.1.7.1]-        has even symmetry and Fricke sign $+1$.-    '3': -0.977778907476143038108505126097599028250952337282040616453347 +/- 1.00e-60-    '5': -1.01527352252591962089585339876253691779699142053593206860790 +/- 1.00e-59-    '7': 1.18082083560596529908218157175346820158639223552255103654182 +/- 1.00e-59-    '11': -0.620487726175120683745403033500669330015041779960111686462280 +/- 1.00e-60-    '13': 0.265288698930324604489652744242185639538822112403365128774322 +/- 1.00e-60-    '17': -0.135740408678224741059574072457953220248281378278873978812382 +/- 1.00e-60-    '19': 0.176971040950302581561411386949557921570831268224465391954195 +/- 1.00e-60-    '23': 1.00137335555581933892385885351285820896917999927543972371321 +/- 1.00e-59-    '29': -0.110159954199412400021615301947054275996911143176116385951615 +/- 1.00e-60-    '31': 1.27586848869693077124960974081053581953967429760073201774104 +/- 1.00e-59-    '37': 1.39231869851857213272617510666407298689714294255204734215960 +/- 1.00e-59-    '41': 0.344716239254896724339895664377084108793022990419085104879970 +/- 1.00e-60-    '43': -0.351234617154737725457447011683306972680180656687410490376021 +/- 1.00e-60-    '47': -0.133377451643331393648208088077335679879073988002658363417809 +/- 1.00e-60-  '18.18':-    '2':-      number: 0.374063346723585885896186666580354106185941324258920737616185 +/- 1.00e-60-      comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.8}[1.0.1.8.1]-        has odd symmetry and Fricke sign $+1$.-    '3': 0.101958697619578543890683140077602061541379466770343404583023 +/- 1.00e-60-    '5': 0.637330829346188125587886179211258479652642686893568816548189 +/- 1.00e-60-    '7': -1.54209922327203811999685297331223491992749452997057636653159 +/- 1.00e-59-    '11': -0.411715706793125351318538225984060447926627747542642831042342 +/- 1.00e-60-    '13': 0.478703729678757544989076202424533360698708781788906237701897 +/- 1.00e-60-    '17': -0.548557414997243980166512746907587928248159405961850426403915 +/- 1.00e-60-    '19': 1.03098415798997397319802878877472696889972700382211182819126 +/- 1.00e-59-    '23': 0.663425770592332908206882468447076922788273667238637256373154 +/- 1.00e-60-    '29': -1.27082249594460181407342380179019602217228427743351406143287 +/- 1.00e-59-    '31': -0.223968759910987289454952532648142535237479086409934751422932 +/- 1.00e-60-    '37': -0.108741556504690245537426237813768621616840019079181951444056 +/- 1.00e-60-    '41': -0.419097539782316388445303264114538717121480787954445520018410 +/- 1.00e-60-    '43': 0.848150865377788848344458369007768952451475620411662301652555 +/- 1.00e-60-    '47': -1.08630166641434424977181521719827775481911268379711135546293 +/- 1.00e-59-  '19.42':-    '2':-      number: -0.692761976402402506264953793147383620381616394008946345628856 +/--        1.00e-60-      comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.9}[1.0.1.9.1]-        has even symmetry and Fricke sign $+1$.-    '3': 1.56235430211493697839681908280502808033801825458456774517253 +/- 1.00e-59-    '5': -0.0384116982264217210898341144484874919418588162027556457533250 +/- 1.00e-61-    '7': 0.312952980696207723881742441770757671167258593279737212858554 +/- 1.00e-60-    '11': 1.15363355448408073411142073354386113546506756759165980216048 +/- 1.00e-59-    '13': 0.758971425656586365322627747695746843010434150610261078796188 +/- 1.00e-60-    '17': 0.844381009819172111193884741196629570979211105841107440953398 +/- 1.00e-60-    '19': 0.393212896981308540029842023580893254353310956922038426802876 +/- 1.00e-60-    '23': -0.357998742809567882901673063652251058382799251625793873575064 +/- 1.00e-60-    '29': 0.224703571863084688010867005940517362316130625884889008871410 +/- 1.00e-60-    '31': -0.330286117042824988806262922378667409352744302170318081537122 +/- 1.00e-60-    '37': 0.403965397731231376874005539667587197186774743340794507167797 +/- 1.00e-60-    '41': -1.37981522486067187800364334196680844089583714395282022752715 +/- 1.00e-59-    '43': 1.64472447191254960234943625796663002976798647996693136697577 +/- 1.00e-59-    '47': -0.0183959469393231111696238987205566235391709377406621143740430 +/- 1.00e-61-  '19.48':-    '2':-      number: -1.70018803236937520494757001211438294728825341606771734815813 +/- 1.00e-59-      comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.10}[1.0.1.10.1]-        has odd symmetry and Fricke sign $+1$.-    '3': -0.614565376587703532221370711422105332968204292647336684599260 +/- 1.00e-60-    '5': 0.819825344160936972665932369755175601419669726579637915908160 +/- 1.00e-60-    '7': 0.0635689937509351771246421256077566564582643460743268386888142 +/- 1.00e-61-    '11': 0.659736423647445393813525401364875205625679863179875834770262 +/- 1.00e-60-    '13': 0.662330122479272354619867770138719504705406186122152980295927 +/- 1.00e-60-    '17': -0.677781119632414933981489902774046788306670441887658834959182 +/- 1.00e-60-    '19': -1.73440748458416285377349958885307197519335242077928618669111 +/- 1.00e-59-    '23': 0.334160762688498295988574433198154970749399699046441227922608 +/- 1.00e-60-    '29': -0.585623950702460345708476565632075547279530034968137717401191 +/- 1.00e-60-    '31': -0.988659933153983979006888155451320132430365500900407486404572 +/- 1.00e-60-    '37': -1.28098080805126155036580513926216356255709370603579498644218 +/- 1.00e-59-    '41': 0.239150190588673651300287708573707521698209380099887002175250 +/- 1.00e-60-    '43': -0.429138221315136325423035251081345257085726256900478812482727 +/- 1.00e-60-    '47': 0.907515236334520573845616423107515390812294263240302412686264 +/- 1.00e-60+- params:+    R: '9.533'+    p: '2'+  number: '-1.0683335512235708066692862262769493600995441885504273112316'+  comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.1}[1.0.1.1.1]+    has odd symmetry and Fricke sign $+1$.+- params:+    R: '9.533'+    p: '3'+  number: '-0.45619735450611838399314693202628717476966799190780255845593'+- params:+    R: '9.533'+    p: '5'+  number: '-0.29067255498507017568811748671868486651561632689532160072424'+- params:+    R: '9.533'+    p: '7'+  number: '-0.74494161214757989511169493132824604813500846259709982901176'+- params:+    R: '9.533'+    p: '11'+  number: '0.16616359661443977158538644796830403298769553233447629191395'+- params:+    R: '9.533'+    p: '13'+  number: '-0.58668852786270913083589873021510784021344893703490756880720'+- params:+    R: '9.533'+    p: '17'+  number: '0.57069580247220558238175226153168398445447741391594607492364'+- params:+    R: '9.533'+    p: '19'+  number: '-0.98193858651185920908429138056228985336467362003183598786446'+- params:+    R: '9.533'+    p: '23'+  number: '0.66296895859247565567379238914872160184294233135171299994123'+- params:+    R: '9.533'+    p: '29'+  number: '-1.0486885639818629514118350281045500224015617504231327398136'+- params:+    R: '9.533'+    p: '31'+  number: '0.78626844138397801418820308604618711376330494311259079635927'+- params:+    R: '9.533'+    p: '37'+  number: '-0.44819811991104455654080884212741306986828263971495055842585'+- params:+    R: '9.533'+    p: '41'+  number: '-1.1982526381660355239351779720071196839172572786949649033829'+- params:+    R: '9.533'+    p: '43'+  number: '1.5620309163830235728552806926276684558164054284975501666968'+- params:+    R: '9.533'+    p: '47'+  number: '-0.60315223950014029951083653422561859533336017443191157389161'+- params:+    R: '12.17'+    p: '2'+  number: '0.28925187146239926777326978031023465869345189218549058491243'+  comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.2}[1.0.1.2.1]+    has odd symmetry and Fricke sign $+1$.+- params:+    R: '12.17'+    p: '3'+  number: '-1.2018587610118135635720280848661542988329796613941581377837'+- params:+    R: '12.17'+    p: '5'+  number: '0.039552707287414083275434069088972612663662550092628440522876'+- params:+    R: '12.17'+    p: '7'+  number: '0.4481331044912988447852656570094478366190577716935394118859'+- params:+    R: '12.17'+    p: '11'+  number: '-0.69145078339493173537348708854518903357400216955738177360266'+- params:+    R: '12.17'+    p: '13'+  number: '-0.80278000333233626075868116054637890233730129080299116740992'+- params:+    R: '12.17'+    p: '17'+  number: '-1.0376753734633174787702167379512072784721179838093687736194'+- params:+    R: '12.17'+    p: '19'+  number: '0.63717880716794656028474108322459448381778019146883624023485'+- params:+    R: '12.17'+    p: '23'+  number: '0.5087986923694297064590505481649289063295567212790433004147'+- params:+    R: '12.17'+    p: '29'+  number: '0.77999688121453209038717532781158217997955096354927668479030'+- params:+    R: '12.17'+    p: '31'+  number: '-1.5980135837087028805021234997152353399173358773551203267000'+- params:+    R: '12.17'+    p: '37'+  number: '-0.42921516095681464357365519704806000981584249364840417624221'+- params:+    R: '12.17'+    p: '41'+  number: '-0.54852418770590534328763385233219522910693546286242071207067'+- params:+    R: '12.17'+    p: '43'+  number: '-0.48935502226390572367807190498103653181843366415270031327151'+- params:+    R: '12.17'+    p: '47'+  number: '0.81686800589602004494422126292519068470935023876231493903423'+- params:+    R: '13.77'+    p: '2'+  number: '1.5493044779412962245074692628707670789215570288503878814865'+  comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.3}[1.0.1.3.1]+    has even symmetry and Fricke sign $+1$.+- params:+    R: '13.77'+    p: '3'+  number: '0.24689977245398089801144105099610194900802480980710640281770'+- params:+    R: '13.77'+    p: '5'+  number: '0.7370603853483010863787784833901814807636983816482293617358'+- params:+    R: '13.77'+    p: '7'+  number: '-0.26142007576521614229988724642698652062543719805509375834486'+- params:+    R: '13.77'+    p: '11'+  number: '-0.95356465261777747676757370966216796597157371565462690649141'+- params:+    R: '13.77'+    p: '13'+  number: '0.27882702916232517218757032222422814440922538895395761847550'+- params:+    R: '13.77'+    p: '17'+  number: '1.307341714533658624115955967656608132997708504181108374253'+- params:+    R: '13.77'+    p: '19'+  number: '0.092558582508212260763691323643293819229525620438798375239196'+- params:+    R: '13.77'+    p: '23'+  number: '1.1380685214066112254447480215506244047775772938845987715637'+- params:+    R: '13.77'+    p: '29'+  number: '0.75211384546608752127000954814585721489582103707872417592967'+- params:+    R: '13.77'+    p: '31'+  number: '0.024851953513185519788786884991201652079099096228274924872134'+- params:+    R: '13.77'+    p: '37'+  number: '0.19926565559081418260496619182438029591653041163379802080036'+- params:+    R: '13.77'+    p: '41'+  number: '-0.30403299675582781313973532290719532172723684998778380557959'+- params:+    R: '13.77'+    p: '43'+  number: '0.78323936351627267407050722380323492448948402923286072806968'+- params:+    R: '13.77'+    p: '47'+  number: '0.36056841049481212577821887972575145670050983527724163735439'+- params:+    R: '14.35'+    p: '2'+  number: '-0.23091519120146070371421938003141946799818474686518027375116'+  comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.4}[1.0.1.4.1]+    has odd symmetry and Fricke sign $+1$.+- params:+    R: '14.35'+    p: '3'+  number: '0.69559498626441516958228535583197344930055344457808205851956'+- params:+    R: '14.35'+    p: '5'+  number: '-1.2982845988718940207661436930726846146864468412296364587875'+- params:+    R: '14.35'+    p: '7'+  number: '-0.48328198177351983524151012378472019698921213770271109484519'+- params:+    R: '14.35'+    p: '11'+  number: '0.1774980728856124362259565683360284940671806637248990615877'+- params:+    R: '14.35'+    p: '13'+  number: '0.62544354221988362098806633826490765073245877267461214202497'+- params:+    R: '14.35'+    p: '17'+  number: '-0.15155949893373666705511187006422452515278796674236227218014'+- params:+    R: '14.35'+    p: '19'+  number: '-0.98026479651556768114350971699858158720552939928436664601374'+- params:+    R: '14.35'+    p: '23'+  number: '-0.56801529373101016417310397443630557255213239283224723393268'+- params:+    R: '14.35'+    p: '29'+  number: '0.3813445524533840284774692778272245189517198436255018568262'+- params:+    R: '14.35'+    p: '31'+  number: '-0.12958423119254204551535045698408052853915189536363885871070'+- params:+    R: '14.35'+    p: '37'+  number: '-1.4860236750319200796174966609717978885743668267281118392947'+- params:+    R: '14.35'+    p: '41'+  number: '1.2936373589005672955978445720282604081982016295499207750355'+- params:+    R: '14.35'+    p: '43'+  number: '-1.3888699728811002553546059284070247166490105959293855926940'+- params:+    R: '14.35'+    p: '47'+  number: '0.053102429275706550123544119993985820265539791924098325958351'+- params:+    R: '16.13'+    p: '2'+  number: '1.1618555924158509937981715228583145424133853466373153810290'+  comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.5}[1.0.1.5.1]+    has odd symmetry and Fricke sign $+1$.+- params:+    R: '16.13'+    p: '3'+  number: '-1.2819725611533323123224532131324097770506209614859371186857'+- params:+    R: '16.13'+    p: '5'+  number: '-0.75680641385830019630133459826188995980321012353877419266793'+- params:+    R: '16.13'+    p: '7'+  number: '-0.2985191165978981871287397702969865024289601408382775529412'+- params:+    R: '16.13'+    p: '11'+  number: '0.76409070445339806163719189406597942949069687276728135892912'+- params:+    R: '16.13'+    p: '13'+  number: '0.16260231764807469479333696890484271699868439029015341271250'+- params:+    R: '16.13'+    p: '17'+  number: '0.4164174325265319057977010493112093084057358189859708646164'+- params:+    R: '16.13'+    p: '19'+  number: '-0.75567638408309873041814244821405037460569073983154505506336'+- params:+    R: '16.13'+    p: '23'+  number: '-1.6016444877022552381130307865872415386555102210083408923329'+- params:+    R: '16.13'+    p: '29'+  number: '-1.4843721310824877578983886047926422523171092451935608880997'+- params:+    R: '16.13'+    p: '31'+  number: '0.95937599106496661039055458713556933917895150261660635948259'+- params:+    R: '16.13'+    p: '37'+  number: '0.40047380747031914925994877544573616855827191566904457980385'+- params:+    R: '16.13'+    p: '41'+  number: '-0.39041127567383526771799331438222165264866588576308484585132'+- params:+    R: '16.13'+    p: '43'+  number: '0.15805251280315974036205178652218030327938432148839588437663'+- params:+    R: '16.13'+    p: '47'+  number: '1.561732882121532129443091665606811247530395651627526209008'+- params:+    R: '16.64'+    p: '2'+  number: '-1.540227825716921697381751613939752551825698624979828448337'+  comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.6}[1.0.1.6.1]+    has odd symmetry and Fricke sign $+1$.+- params:+    R: '16.64'+    p: '3'+  number: '0.97749259146855253061084424761089434757594750071002435534513'+- params:+    R: '16.64'+    p: '5'+  number: '-0.10524236262770334743192453077738720148058752349827246341803'+- params:+    R: '16.64'+    p: '7'+  number: '-0.6926408590851301853714120242912182284149851842144175811535'+- params:+    R: '16.64'+    p: '11'+  number: '-0.76020127595254165553244022597455378682179134344732460357127'+- params:+    R: '16.64'+    p: '13'+  number: '-1.570437062046106795750248111397511535044850572654288263094'+- params:+    R: '16.64'+    p: '17'+  number: '0.28188982261736816654946804627807560420949854258242749463084'+- params:+    R: '16.64'+    p: '19'+  number: '0.1040460905156093628877139620429861275613400971558822950983'+- params:+    R: '16.64'+    p: '23'+  number: '-0.14387947063516627376206476627439766635393277308837743459153'+- params:+    R: '16.64'+    p: '29'+  number: '0.79124408131888788593745880825721549852341381912370053402979'+- params:+    R: '16.64'+    p: '31'+  number: '-0.75717551364058719452634426371721949246084690418099719108231'+- params:+    R: '16.64'+    p: '37'+  number: '1.2725598641206614058346344766048422289187834098442675038081'+- params:+    R: '16.64'+    p: '41'+  number: '0.5474899861320420283334676635950511481037414004274646471827'+- params:+    R: '16.64'+    p: '43'+  number: '-0.23542298308600077902187424622302669075687459291995370579154'+- params:+    R: '16.64'+    p: '47'+  number: '0.56574380216105501548365696440576610101045468085671987392573'+- params:+    R: '17.73'+    p: '2'+  number: '-0.76545805660033816923256966396140998293857959287192527309848'+  comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.7}[1.0.1.7.1]+    has even symmetry and Fricke sign $+1$.+- params:+    R: '17.73'+    p: '3'+  number: '-0.97777890747614303810850512609759902825095233728204061645335'+- params:+    R: '17.73'+    p: '5'+  number: '-1.0152735225259196208958533987625369177969914205359320686079'+- params:+    R: '17.73'+    p: '7'+  number: '1.1808208356059652990821815717534682015863922355225510365418'+- params:+    R: '17.73'+    p: '11'+  number: '-0.62048772617512068374540303350066933001504177996011168646228'+- params:+    R: '17.73'+    p: '13'+  number: '0.26528869893032460448965274424218563953882211240336512877432'+- params:+    R: '17.73'+    p: '17'+  number: '-0.13574040867822474105957407245795322024828137827887397881238'+- params:+    R: '17.73'+    p: '19'+  number: '0.1769710409503025815614113869495579215708312682244653919542'+- params:+    R: '17.73'+    p: '23'+  number: '1.0013733555558193389238588535128582089691799992754397237132'+- params:+    R: '17.73'+    p: '29'+  number: '-0.1101599541994124000216153019470542759969111431761163859516'+- params:+    R: '17.73'+    p: '31'+  number: '1.2758684886969307712496097408105358195396742976007320177410'+- params:+    R: '17.73'+    p: '37'+  number: '1.3923186985185721327261751066640729868971429425520473421596'+- params:+    R: '17.73'+    p: '41'+  number: '0.34471623925489672433989566437708410879302299041908510487997'+- params:+    R: '17.73'+    p: '43'+  number: '-0.35123461715473772545744701168330697268018065668741049037602'+- params:+    R: '17.73'+    p: '47'+  number: '-0.13337745164333139364820808807733567987907398800265836341781'+- params:+    R: '18.18'+    p: '2'+  number: '0.3740633467235858858961866665803541061859413242589207376162'+  comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.8}[1.0.1.8.1]+    has odd symmetry and Fricke sign $+1$.+- params:+    R: '18.18'+    p: '3'+  number: '0.10195869761957854389068314007760206154137946677034340458302'+- params:+    R: '18.18'+    p: '5'+  number: '0.63733082934618812558788617921125847965264268689356881654819'+- params:+    R: '18.18'+    p: '7'+  number: '-1.5420992232720381199968529733122349199274945299705763665316'+- params:+    R: '18.18'+    p: '11'+  number: '-0.41171570679312535131853822598406044792662774754264283104234'+- params:+    R: '18.18'+    p: '13'+  number: '0.47870372967875754498907620242453336069870878178890623770190'+- params:+    R: '18.18'+    p: '17'+  number: '-0.5485574149972439801665127469075879282481594059618504264039'+- params:+    R: '18.18'+    p: '19'+  number: '1.0309841579899739731980287887747269688997270038221118281913'+- params:+    R: '18.18'+    p: '23'+  number: '0.6634257705923329082068824684470769227882736672386372563732'+- params:+    R: '18.18'+    p: '29'+  number: '-1.2708224959446018140734238017901960221722842774335140614329'+- params:+    R: '18.18'+    p: '31'+  number: '-0.22396875991098728945495253264814253523747908640993475142293'+- params:+    R: '18.18'+    p: '37'+  number: '-0.10874155650469024553742623781376862161684001907918195144406'+- params:+    R: '18.18'+    p: '41'+  number: '-0.41909753978231638844530326411453871712148078795444552001841'+- params:+    R: '18.18'+    p: '43'+  number: '0.8481508653777888483444583690077689524514756204116623016526'+- params:+    R: '18.18'+    p: '47'+  number: '-1.0863016664143442497718152171982777548191126837971113554629'+- params:+    R: '19.42'+    p: '2'+  number: '-0.6927619764024025062649537931473836203816163940089463456289'+  comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.9}[1.0.1.9.1]+    has even symmetry and Fricke sign $+1$.+- params:+    R: '19.42'+    p: '3'+  number: '1.5623543021149369783968190828050280803380182545845677451725'+- params:+    R: '19.42'+    p: '5'+  number: '-0.038411698226421721089834114448487491941858816202755645753325'+- params:+    R: '19.42'+    p: '7'+  number: '0.3129529806962077238817424417707576711672585932797372128586'+- params:+    R: '19.42'+    p: '11'+  number: '1.1536335544840807341114207335438611354650675675916598021605'+- params:+    R: '19.42'+    p: '13'+  number: '0.75897142565658636532262774769574684301043415061026107879619'+- params:+    R: '19.42'+    p: '17'+  number: '0.84438100981917211119388474119662957097921110584110744095340'+- params:+    R: '19.42'+    p: '19'+  number: '0.39321289698130854002984202358089325435331095692203842680288'+- params:+    R: '19.42'+    p: '23'+  number: '-0.35799874280956788290167306365225105838279925162579387357506'+- params:+    R: '19.42'+    p: '29'+  number: '0.22470357186308468801086700594051736231613062588488900887141'+- params:+    R: '19.42'+    p: '31'+  number: '-0.33028611704282498880626292237866740935274430217031808153712'+- params:+    R: '19.42'+    p: '37'+  number: '0.40396539773123137687400553966758719718677474334079450716780'+- params:+    R: '19.42'+    p: '41'+  number: '-1.379815224860671878003643341966808440895837143952820227527'+- params:+    R: '19.42'+    p: '43'+  number: '1.6447244719125496023494362579666300297679864799669313669758'+- params:+    R: '19.42'+    p: '47'+  number: '-0.018395946939323111169623898720556623539170937740662114374043'+- params:+    R: '19.48'+    p: '2'+  number: '-1.7001880323693752049475700121143829472882534160677173481581'+  comment: LMFDB form HREF{https://www.lmfdb.org/ModularForm/GL2/Q/Maass/1.10}[1.0.1.10.1]+    has odd symmetry and Fricke sign $+1$.+- params:+    R: '19.48'+    p: '3'+  number: '-0.61456537658770353222137071142210533296820429264733668459926'+- params:+    R: '19.48'+    p: '5'+  number: '0.81982534416093697266593236975517560141966972657963791590816'+- params:+    R: '19.48'+    p: '7'+  number: '0.063568993750935177124642125607756656458264346074326838688814'+- params:+    R: '19.48'+    p: '11'+  number: '0.65973642364744539381352540136487520562567986317987583477026'+- params:+    R: '19.48'+    p: '13'+  number: '0.66233012247927235461986777013871950470540618612215298029593'+- params:+    R: '19.48'+    p: '17'+  number: '-0.67778111963241493398148990277404678830667044188765883495918'+- params:+    R: '19.48'+    p: '19'+  number: '-1.7344074845841628537734995888530719751933524207792861866911'+- params:+    R: '19.48'+    p: '23'+  number: '0.33416076268849829598857443319815497074939969904644122792261'+- params:+    R: '19.48'+    p: '29'+  number: '-0.58562395070246034570847656563207554727953003496813771740119'+- params:+    R: '19.48'+    p: '31'+  number: '-0.98865993315398397900688815545132013243036550090040748640457'+- params:+    R: '19.48'+    p: '37'+  number: '-1.2809808080512615503658051392621635625570937060357949864422'+- params:+    R: '19.48'+    p: '41'+  number: '0.23915019058867365130028770857370752169820938009988700217525'+- params:+    R: '19.48'+    p: '43'+  number: '-0.42913822131513632542303525108134525708572625690047881248273'+- params:+    R: '19.48'+    p: '47'+  number: '0.90751523633452057384561642310751539081229426324030241268626'