History of Normalised Hecke eigenvalues of level one cusp forms

   - - p Numbers:-  '12':-    '1':-      '2':-        number: '-0.5303300858899106433006332715786367794636269532663555274412549017465246794232901395688953253728655898'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-      '3':-        number: '0.5987336124929452372687468834835114354864018161319834269822542645019027712771160622008900398667032113'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-      '5':-        number: '0.6912133332047349909540037644782121098994039473231148318866197565013002285331582505069837819180491768'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-      '7':-        number: '-0.3765476965589635683036749498842810101921187580135194164003722274295803311219633746416885693132092769'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-      '11':-        number: '1.000872909497037372201709351366952167872079291390257239367279015229860043066259727424970513177233932'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-      '13':-        number: '-0.4315613032925094500793614697879840256772811147033588560141724538506849925847298429649124751377563915'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-      '17':-        number: '-1.179650499416253268565296209088267407814883849126701535726662993525898587750106750281795551718469753'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-      '19':-        number: '0.9878027871269624608218178433593492187049581745222646186402897376171373576796598553989516818142493371'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-      '23':-        number: '0.6039751046808208209140173592184700225176129315948113185560554294015688964112683493941956400315663262'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-      '29':-        number: '1.162514717338632422877579844123726324800993580078314702977416929836581763729813349975384622906645272'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-      '31':-        number: '-0.3315122110568911588257876058543706824657705225732363299281988553439305445301072538749844503262298464'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-      '37':-        number: '-0.4319869472570346910408567304386573194573007766713625873755839216890840139405566455558323097887019712'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-      '41':-        number: '0.4153452998335415440833204775340603490359265084786771856233937510483154592296031633612439461207671479'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-      '43':-        number: '-0.01776527886859974698913306210573175610806495707096420203283013005980400219189627621963859609956120900'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-      '47':-        number: '1.709172005305176414105573550060353324469808786775944071172584250096155742995936582713829317540728689'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-      '53':-        number: '-0.5242407305685585099265397533232602208943059602157070654311094051502656177247561486689991491072625938'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-      '59':-        number: '-0.9449626830605435624175307069296804801073408113814191457344121507235239079791321233746040555825713398'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-      '61':-        number: '1.054569884035339663097444438060698301915856918487749666113869196070530567518665725291324765383820971'-        comment: $a_2=-24.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].-  '16':-    '1':-      '2':-        number: '1.193242693252298947426424861051932753793160644849299936742823528929680528702402814030014482088947577'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-      '3':-        number: '-0.8838448565372048740633882565708978333370693476234041064976134380742374242662189489632186302794190263'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-      '5':-        number: '0.2982950459072359451644980220866222198497551941615529100588965259733561483135641940697219451407829615'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-      '7':-        number: '1.295364169972583632931098296984345586969693367185816129001103039702291875563311449410671324957686217'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-      '11':-        number: '0.3185259382772092568189486454717703042141638660585435472501590669207796624841742830972589661402041404'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-      '13':-        number: '-0.8401291610268996400093050047930069082435017506453939756447322031033318262698186371099146601072418216'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-      '17':-        number: '0.9732002380002932546245193662027657524487725796908464139039761170875865273133183987554213542517473096'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-      '19':-        number: '0.4012161672986115865868364663962970060486234096940814432808438472029833930378969513949028719366645002'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-      '23':-        number: '0.5787944082933429787812098443751235852886773502427195741635731097429813650907029927451064934574117069'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-      '29':-        number: '-0.3972570459572397399803487429191191409417360478052746599810752332880976279562090981311856347402588390'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-      '31':-        number: '0.4673373150992241328767667111301962692872163689519683760185319084992692349649214172513472938285225367'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-      '37':-        number: '-1.790034712949766770717726086089315617920960121724193993105053934214300348798752294539806394995473860'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-      '41':-        number: '1.316701575969749230097415213089433437183169385660604114074027298384076798938469642523082380957378659'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-      '43':-        number: '-0.2762532333271328704825270035399768160615906492648095002949959981377136608859527044432492490925268710'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-      '47':-        number: '-0.9819913689723332250999307166780014025833808059346814944544923837036400894109800970677605276363452060'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-      '53':-        number: '0.7948001453608557647812060664080828638100698835021717742360991245924745184606473899699150860024742211'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-      '59':-        number: '0.5157467167100643210178415844237116958016559955075851410836114316650250560904031928815695885751300053'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-      '61':-        number: '0.2009256802787188690624692529609652117201632048392638743660672282379892775671830836775061954641791919'-        comment: $a_2=216.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].-  '18':-    '1':-      '2':-        number: '-1.458407736197254269076741496841251143524974121482477700463450979802942868414047883814462144775380372'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-      '3':-        number: '-0.3769804226807432975395813710822109038247715138608784540258637961678647078411471502746344695457020220'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-      '5':-        number: '-1.174461611375697541151411613730805619776900272234231636092569568872644040481557583904909834667711384'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-      '7':-        number: '0.2115095328029506935584094975280456346630399221202337531380231764339424333292017524204467117059395927'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-      '11':-        number: '-1.060018806604012966003266175657055115852580018462396786681214825546162736292965932691261807291957922'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-      '13':-        number: '0.8639670879780245693253311347537985281038850984430620292002710999233454648238626564777981019604206863'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-      '17':-        number: '-0.1887832193164064796579241881979268234812103940796308753851638132618447829814453809797239843396632495'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-      '19':-        number: '0.02009330263563849804938743421426720616406378659610633544766121166105715613756618391561221338477485071'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-      '23':-        number: '-0.8443032038817561849926416212559773548327475466030070835129221991703311688330936383164316068773020307'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-      '29':-        number: '0.9033008394740900204089654775014695778521328773815554262104658132768061793765468131834636737052512520'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-      '31':-        number: '-1.863610862844638278658911943350798107715808612255624838497266765054915421098294834841482073746245905'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-      '37':-        number: '0.5940233726728624483463091466786848270033948053091223514396920415404459129848269654227234053983526624'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-      '41':-        number: '0.9557131800919007948201208923398492023011764547328238156721172476195816178932079969621701294853737584'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-      '43':-        number: '-1.187558017959507052170630819530571926504124141251280230201176422029015053892652401786836965260007474'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-      '47':-        number: '-0.3020362852726075812758212307897945200879342291595098002476556442023471638084496631718349997519633169'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-      '53':-        number: '0.05061241980788769593429897472022451747275448159079251810499614149019723920550850807894729327371288847'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-      '59':-        number: '0.02898948151353914037843028790613535496720129067046951296279716373259269829561252573870379226969281230'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-      '61':-        number: '-0.8737738602605760237218366311300710484029862714470458957460737748431182527319079945055358546295811992'-        comment: $a_2=-528.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].-  '20':-    '1':-      '2':-        number: '0.6297669769942688889195020099996311756130570070037971888364901958239980568151570407380631988802778879'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-      '3':-        number: '1.485746371741752996185408933088713562132923025216403318807816137838055025020991709905912321150707969'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-      '5':-        number: '-0.5443635579277081622671496777501105597336453626187814269070206791896500791112267515818826709630771987'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-      '7':-        number: '-0.1584549951772691353811217158473426051548043452869083285742646939670466018919291063448750800613334318'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-      '11':-        number: '-0.002073046191897018740447267659688674923195695716970366766819766312638937301958664134974316208972445078'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-      '13':-        number: '1.318727022611535414117896397368131990350672400418945494914891462738880567235643316813843343192572350'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-      '17':-        number: '0.4603127981810038196424923070421074184522494651729783812019015089317779788948604290005056219766806477'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-      '19':-        number: '-1.215927401541693572492080955479943654764125197606602704522684590721273490463438700264422782879811818'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-      '23':-        number: '1.624970436718039737946458294473438208103601498427966992820042886474612429059552029286975776238263308'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-      '29':-        number: '0.01456459495981460721329463982494094957866859104311392566971925839367384902141908104634975307630140955'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-      '31':-        number: '-0.7107341509564648012475803973230805963560835029542765850406863209579181737652362428380709361994844306'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-      '37':-        number: '-0.2142778876378053771952494930517375774977596466446563569962921688376553646734957521002711728768204784'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-      '41':-        number: '-1.578989907448420819042739211717980380484291922496054684831486930778964321452503784343280510656762908'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-      '43':-        number: '0.3422358328258123814772079097150723012067941376081342601990171023452884302080282056221385400086343469'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-      '47':-        number: '0.4560120388384573656618423471052279057084079408089725979420469591428079253417952129429780135815576977'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-      '53':-        number: '1.247002501450263882654081161015914935127913076836275140241665430328846596666195623654486135435020067'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-      '59':-        number: '0.8775154264054454335905292486317530779691180025793531791501571764735361602182979263170715532626274482'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-      '61':-        number: '0.2559138301474767779102097823332701296136939866332475910386477885518874110281518727224598063682136155'-        comment: $a_2=456.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].-  '22':-    '1':-      '2':-        number: '-0.1988737822087164912377374768419887922988601074748833227904705881549467547837338023383357470148245962'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-      '3':-        number: '-1.259769311647413876651878363308340639392023574330610632080827755821463855614813866323918549490259138'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-      '5':-        number: '0.9910402108963650320487650694416407029219051497356297753120824062580083266699561766498789681357784734'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-      '7':-        number: '-1.027723678173571312366808539204218313544100195641273486916418715714745974116771938239100768514233754'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-      '11':-        number: '-1.101136338856333121668729325424789771746039864752560145346534554877307556121333029096734238237447256'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-      '13':-        number: '-0.1621986502933202219542363457646379777558623748380508684415826205080799031755773745858356426152893127'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-      '17':-        number: '0.3672071369119166638572280950150066425365665974101878361668863230625960543556215368422391535132911980'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-      '19':-        number: '-0.2963845758860839815261642524249345533376138065332954455085151884374846769045466595551887834041668929'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-      '23':-        number: '-0.3716904386542675975984169412019415127043783812721226150838006938504808813280880767361460396529796643'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-      '29':-        number: '-1.877239334313507764290059756942048418275793700131801501092109386090210103809719702727887629523436025'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-      '31':-        number: '0.4164659485374165913262626627373381739012092165238386017076890385425710606187515106643327945337681926'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-      '37':-        number: '0.7586949342768825519322246554197825208217037794320724982621470254424989373610057239838508871662392657'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-      '41':-        number: '-0.2399480366260902296071180646844143552035413332614789411467542175052950813091446586589263568769134655'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-      '43':-        number: '-1.366154140637430707070560348318909833133085075419835037062387470072374257238196668844976894947362422'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-      '47':-        number: '0.4075427065300653713119573878364765247496568467690262572565364801929170860005339989914541609820432840'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-      '53':-        number: '1.600900963146133584319719519231187729083953288181754385318676646645841330682031230994492541686937834'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-      '59':-        number: '-1.522144718212955987072306876680531403205156999973695678591912299748290508229937246754906376595264489'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-      '61':-        number: '1.111144853841389519846148897788037134664759787852813984898616616663159353927798256396041237388136591'-        comment: $a_2=-288.0000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].-  '24':-    '1':-      '2':-        number: '-1.386713451731978864295125080733199128653280597657630418797748428242657257494258153087934954779003296'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-      '3':-        number: '1.266003614607435860226755548889435212319869803028098255179693667656341140882694669252494286781659412'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-      '5':-        number: '0.9622562593275645712172889997740843445437802629540908812930035075720286803226014910169685839917050603'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-      '7':-        number: '0.7286929821871229913895460085939896252097904273639934320514336503034625979878336751807263970042821771'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-      '11':-        number: '0.2665192018758358943338300067295906843350802124468332276293385331690666904764573794659843347383676960'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-      '13':-        number: '-0.5557330160428562979299393551528560071582404066154034589775862471358895871505070493903697657121823538'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-      '17':-        number: '1.657314946255125131717092622913138341437045737014457877810402561060762609247634034554503317356938563'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-      '19':-        number: '-1.227104205980233712360223074993434707160166250344377315336341135741037424495001678921679435351525607'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-      '23':-        number: '-0.7851733143026698802972183914349125882377825698426322031834950573318569343058656452502429312437162497'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-      '29':-        number: '-0.3134207440437849937908341051325398444306984050465224695835326506528331389590823667875306963292439940'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-      '31':-        number: '0.9638702104739258909721234290850150890460836209017431575872157617060622926452701835844477915479149909'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-      '37':-        number: '-1.144838243792219520864031191087631567181272639921644130735299369415105094172485995192767259312601378'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-      '41':-        number: '0.3975060713523978014822944408263180283507694337296047453236010924031669963328898161571948336532200591'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-      '43':-        number: '0.03590430628680864112302591985365631162283605120989535132535130198883202665905412223612558168330367400'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-      '47':-        number: '-0.5120500125566444887603935557554327016520425128097402780011759044151853674027829410697519376628432724'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-      '53':-        number: '-1.131357516517204103798609712301610662062297241540331187312117512837669305090562533252354794997742126'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-      '59':-        number: '-0.004397596720133884519141760932862397836917388051207753980949104152381954158934486125913542718165163768'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-      '61':-        number: '0.8454717480974119786683922489441562783923141240253072478793376463182977936654650980979437221805917912'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx -4016.351171716245.-    '2':-      '2':-        number: '1.759601793373322285365882849811928114213643299173036649029880781033182422713759032472314480431799414'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-      '3':-        number: '-0.1595842601476134836944641298713061046113122631251776758258512780320136603529661827632932136985688220'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-      '5':-        number: '-0.2930218958565458363274449232956244492562374718646449303077273936813303922935310364319939010846001505'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-      '7':-        number: '-0.9885000258570738525584865277945294044119879962721953101271681508384124621396308613756299868215837849'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-      '11':-        number: '0.6389310130940702246290392849420136772633754517252143692202321726541778820182561437775763692416603969'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-      '13':-        number: '1.232968353830267799343686703867922371129000077320669831883616620836484138772515628051905753152733269'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-      '17':-        number: '0.1403934443561437923395685585939698095824470723229308689826679623081165233165153004112731031979011060'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-      '19':-        number: '1.235495026893432850899234193223603573964412410063643180591061081754732877850941430663908169410863020'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-      '23':-        number: '-0.9972287457378191760330996701728666470349572600271183029119012104647062459886445585625663459187642163'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-      '29':-        number: '0.6302834114412152574174587873559123071799962826432111450630639684111259631064493421907899482942322387'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-      '31':-        number: '0.009591038275517184201618615830780305427680936928798877901120381775139908175572374927986873168456402648'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-      '37':-        number: '0.3153281296436670732891672833073426094859206249942533439823762103419795625066648203272512940553233532'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-      '41':-        number: '-1.048626763209357966520606434576822150523766603552032730453526652955562104706520949948093205509442685'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-      '43':-        number: '-0.3232069134913499945301862782142526861264994125658270856934328703063367879509321763484762206343344650'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-      '47':-        number: '1.441923356591801400061414959409923215698048127195325735254764137721135920869567194304241785506207677'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-      '53':-        number: '-0.9476004666964863713016065709863660260702934723484678783239038914779318149556669231649933236609587547'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-      '59':-        number: '1.216981625053662440990161505693251687797595084390318308303628706663218435660883585111733066213483971'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-      '61':-        number: '-1.376442678800444786733256058636870042920433289598502943190413989900418297543699908430469907329853258'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]-          in increasing order; $a_2\approx 5096.351171716245.-  '26':-    '1':-      '2':-        number: '-0.008286407592029853801572394868416199679119171144786805116269607839789448115988908430763989458951024840'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-      '3':-        number: '-0.2127188005976307495920513618960623618531935121785784740581671529574661423330220303292599730116270669'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-      '5':-        number: '-1.359167277641623414268058262803144166803987743174985343322443289794613747741373244740211863315096702'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-      '7':-        number: '1.067175119485490500224870012621816959806788994898400711285351514055433764840518283986237880906978060'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-      '11':-        number: '0.8088696231973608397151592712897576611727510048291167075827445212867675535693055745956130972695157192'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-      '13':-        number: '-0.9720080133493531294141202643219812586868651700269461015672801895500067962395739188070429240291030271'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-      '17':-        number: '-1.048991077745249899013013097947591921143584913070329466500594192331600626425283253419947411707171785'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-      '19':-        number: '-0.6304206480590941067704999598191026409209304908683029976622913308084169168623856123429639033452909272'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-      '23':-        number: '-0.9038660585135445584200765084673958600113254726665652082531204099842397605906047618787296780218304740'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-      '29':-        number: '-0.1423606312127414237068725060652353443954910641018267045292650692000128665446384102666730341336810942'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-      '31':-        number: '0.9785989589958676521132566053307857458463420768735398766371708042848814948374576421506720364721347763'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-      '37':-        number: '0.5069979973687969510046054047821983548479005676242916213837382361620239952645634315573044572580213885'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-      '41':-        number: '-1.271790414487243312543058522870743921147138109312802401543065122696206910230478320572805694638898089'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-      '43':-        number: '1.148336385578371378952183695405075539163724379730550093693834108589435482690576143420462341932171395'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-      '47':-        number: '-1.160428568508038010587923701758909991652186599988955322247304761289114329080549948421692370312014451'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-      '53':-        number: '-0.2768949217008764812289171007574650819236884929070388933896418206979032372588122833643513281475158427'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-      '59':-        number: '0.9550934485455756703279617693733821635889082443484052355934175958799348878918500714301685714916143292'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-      '61':-        number: '0.4348750888354600263855480478714595105019830875244743068039334868651629930667764907562343242128062146'-        comment: $a_2=-48.00000000000000$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].-  '28':-    '1':-      '2':-        number: '-1.615296931973749712110209788411903186406380594941535114820284668996984846689879945662685032982611027'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-      '3':-        number: '-1.246183300308259589535809378998312351319827457345540951518056842356595465240779787695676695350508971'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-      '5':-        number: '0.2112270963075308384096834364530986645007984663243843144233466463942903041663851427964243204635313432'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-      '7':-        number: '-0.7680042467362946817272963117745778542709266689085190099450156647946807996059868336405307704906336416'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-      '11':-        number: '1.805381738710423818573982616551089979197530184829663417731595304565683948490623845724821100633940241'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-      '13':-        number: '-0.1526113057217544765028857479998890357093464847388599763633559708781611934099872492235978917998703323'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-      '17':-        number: '-0.1339987404592490651576601263693478068973365420970062951851984469066225758506737598774430251011856909'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-      '19':-        number: '0.8808905998366487024966023723080335212997328717882538396847985888495239404257589667771117858742596989'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-      '23':-        number: '1.159740709850372370546622566516789907593922108629293178958305738089594602912148326304071465222975214'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-      '29':-        number: '-0.05426503282386875030950861247325996663025942402320731415470215902494578550237108289841851534453591199'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-      '31':-        number: '0.6687625833396147341401039737460355480505981127749290317997912889661916857094504126563948364200641170'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-      '37':-        number: '1.012440470348131447241516914054201501575287503285477728691440741408468970738432390399419832231030380'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-      '41':-        number: '0.9236793194333443126455264562878159132835096176192678713354878821657628979470178347939010370379704848'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-      '43':-        number: '-0.6044290235512866516946554321212293051373921243626881790146005776804349075150256266104769961253098153'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-      '47':-        number: '-0.2515195659012758748268519692540324437675537898797127048380291096586175450762320332134870894969430858'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-      '53':-        number: '-0.2827408645667824049816758079632896171274750323331771589507767503078673470181260865054098762885599940'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-      '59':-        number: '1.136359650941572072741750944056607841140262349278990072593035789664360059888666462160465560746338365'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-      '61':-        number: '1.165285889644322503321319116247862395307145981558191784931787237506318720866628120334826786847919891'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx -18713.59859471915.-    '2':-      '2':-        number: '0.9005942771611748217245907310110059640823520837036731735420309928151449466858365935092909421480851348'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-      '3':-        number: '0.7803842719725761499988849958061625573004241240035902940382313612528223901927392689934361587503107054'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-      '5':-        number: '1.783071490565559610001784541414850787468057805899732443396830567825595017008450799892429426680992074'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-      '7':-        number: '0.08379939405324849044370683281961203959523792128935353999576441302672968606128240775162099142821082438'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-      '11':-        number: '-0.5986683266660720637019032008043881969668423857898127378066161675467939969864745976690942909017610632'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-      '13':-        number: '-0.5373263423570909022779338706510642341779955781549133719803431357574569084532397400939823351325327539'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-      '17':-        number: '-0.5945848377710350941811268904944255760025908151095605272955585890384993053397178695111783690205490353'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-      '19':-        number: '1.326176643534780876255053102307888316284100171086770095297402738738823376317043530724234021311367899'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-      '23':-        number: '0.05198769211466836451619744759321631758856626054070792140960785395980614496867821635413024264900108816'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-      '29':-        number: '-0.2270964782538272249175635331177214969023806447321016993383022058152581453350579389234117968449858584'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-      '31':-        number: '-0.4588007269472087767830452214965586375336372947233840923412044275734839407082640030421562099779143770'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-      '37':-        number: '0.2481766294974023277063348358868471671145984713378397532775859619304123343184168374614935829457420210'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-      '41':-        number: '0.6094120784640162992218021039153049372393134874321296486352998122591694032333969028543956834508934795'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-      '43':-        number: '1.061110016176858372175972703704643198086233870925923605351495521010414077197133258416582994143823282'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-      '47':-        number: '0.2207959928061740148273597625729343420425885700397736063868539755884638341655710172643335723556520756'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-      '53':-        number: '0.8469910600883175384177766959521732343348782074707513285341363524008091072228114631952570528991653424'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-      '59':-        number: '1.356007383262304272239322473825524074424720028628370964054287247577424885395134801617778484497469551'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-      '61':-        number: '-1.048365468547328918883547355793816038523318543163087670390226707137625558350749343032530166273481508'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]-          in increasing order; $a_2\approx 10433.59859471915.-  '30':-    '1':-      '2':-        number: '-0.7524189739009653217833804476440777294975683435523585425055725341113470409849593734818857821049995626'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-      '3':-        number: '1.149678726452501121879860532400169824060946419299013974295060114294214673810555394244895242391959484'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-      '5':-        number: '-0.8252087992301811627618036617889158112555181659898522072112595038405871810433411019224947971250354724'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-      '7':-        number: '-1.664212704579535917913520707242837800789020769056109695364744225796842579937553028892942285159838873'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-      '11':-        number: '-0.9989058233626319306250085647578711291067408921769379904885901982908614122636298583979932875238329577'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-      '13':-        number: '0.4290069416948860505463130555736296651175368028094058959304027487105758257884648698810653783009866672'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-      '17':-        number: '0.1194042791858177778366675758649081006519707075911004311213426566120971792399557020922387710424328008'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-      '19':-        number: '1.068847867571145427599699283926833751129432088516410861468212309280969647938929691427971497573806522'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-      '23':-        number: '-0.3048944598046837680946049390298311005830494169817089341590770850986820480794977103007654694575225675'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-      '29':-        number: '-0.5500511581912282607063155384299115005580936307812183267848180035983828138011180217808697563976414800'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-      '31':-        number: '0.8805181399190703772604069829267625749271325418036276702083829315690589414276626684951987940575921082'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-      '37':-        number: '0.3607298350227331127514072805657925372564790938347576732868989862467473029579689739385877218452968811'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-      '41':-        number: '-0.4143669007531177475074960516318730664103372656638111865872466714741082497235072206713336401411663802'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-      '43':-        number: '-0.3341310211017978877716986474619492945925284414120460720567138632244360166037427055587873177060874507'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-      '47':-        number: '-1.487509440644847374949048815969264960862017671104510164047602546731061040788948268703977771653672172'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-      '53':-        number: '-1.441901575317273056307974425838292421176477636075138716557720214263263306496422840080713835663629304'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-      '59':-        number: '0.1234173233914681222214118382324426482204849666604696800627687777570794310345038701111254639508192381'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-      '61':-        number: '-0.8020319917826961641500862326534030376139371686743112238059962489356506433951462337332566023961292937'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx -17433.90502875288.-    '2':-      '2':-        number: '1.125307315542308742854138216722806715057931045067764772737704886901872206204460252866265307757795680'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-      '3':-        number: '-1.749320557967017007892550108262514726353487383641357208044860638013868061494846010680403887279181787'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-      '5':-        number: '-0.4554145524095251125315850347249661984463028889372313544406715096240561707338334387334540890874737154'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-      '7':-        number: '-0.01896638085353562502921756442131902680091391046565552229082834203359190315025675316545045636091143610'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-      '11':-        number: '-0.6330120585559747717168975625100503455676938259172371903054269099981657135801745072152293469614252607'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-      '13':-        number: '0.7782960470266394515708045261384339841219620743996182860160978686721688922697736385309254081458028309'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-      '17':-        number: '-1.076992930799832055907045399379935629798806841490352849794028988915934464735854688836840348925040826'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-      '19':-        number: '-0.7150597671570491470101828024551363827720219320902051819156934371912635478263436187935032412224194495'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-      '23':-        number: '-0.02944612660176609477513898239984602048500376235676904157758152383349159891389917798039958324961174889'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-      '29':-        number: '1.171678929974289924656893146124778475868517017409335467912188456144628176878582738968385866952570396'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-      '31':-        number: '-1.138499493194146103622964041345963338499500056431202286817090707124763374521689815660392204711369378'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-      '37':-        number: '1.443015560884481066351826555164625135922214022449795417443045175129254942635252357859397914392546869'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-      '41':-        number: '-0.02497015433903390903495713111987546182620425252523953602577877921616174694265947670987995868762372284'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-      '43':-        number: '1.388087296109694793889370203119129290849961774221996975749165216546917438779170008679090941706352729'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-      '47':-        number: '-1.081856186788493056795111716601051053214371597461455959312334390217467308006676713421055188659334552'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-      '53':-        number: '-0.1648361175177164738515902452120459825206132020054620168788671018082072951431599342448748672883866882'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-      '59':-        number: '-1.878583411636523081309623543412831444328377534446564070800417321615687554051162093154643834270445847'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-      '61':-        number: '0.5962158879033281489706597584719276861935568474084639202126755609488721446195576555907772411828517231'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]-          in increasing order; $a_2\approx 26073.90502875288.-  '32':-    '1':-      '2':-        number: '-0.6764615684132934787532143262164313825021937676823302919189058362357233517726515121933871577980404866'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-      '3':-        number: '-0.5428737402249537018396293897663308615215780316045316425519782699403914915135592848006807596325035306'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-      '5':-        number: '0.9249213203610357808745509441184148141718497878161243754734210157654984034094033115232948902256192973'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-      '7':-        number: '1.498361471358111133858378580055695571330990272328975388935328052761461240877646968779783483148945396'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-      '11':-        number: '-0.3883059154524253149426616333471598202393563283757669411567315268487959293479778549863552398545064482'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-      '13':-        number: '1.498723876894326604873427850818377677688796157687273454547327919054930378416984674816816091566874279'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-      '17':-        number: '0.5336493996807846764483461955180579905674925475923412701787704795192815772066059853407916866894612391'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-      '19':-        number: '0.02893255354989983887711807295010560755749045207852637974004409910159423687274571236732946998393738995'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-      '23':-        number: '1.486775211855176598558151890631372076532005205246826786595049236110215746963176410161358426470020359'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-      '29':-        number: '1.124767005264094331178262204060798086121886721127242178287877812384322925427084146818071524786313898'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-      '31':-        number: '-0.4666543421009590112860376933916210581234838159512056953236241786008810501209978133376485771520591117'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-      '37':-        number: '-1.021020334309156856453140327235654680170805133235643749100966766603952580672564339536666768942187101'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-      '41':-        number: '-0.5116730487997672157708534503269726595380341358807029597867982817694280246683662422697341163417978562'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-      '43':-        number: '0.4027189765447091716064920894699071273677475641327906723335075965220591125772572099847393819957588266'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-      '47':-        number: '0.2582609438620404824015581732240233359235115291998377110802026186599908316957579806076379419167637082'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-      '53':-        number: '0.2990222024403797247407486011039315400745132134606990177378666244654797774739872895417152865848781500'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-      '59':-        number: '0.7704585291644269137447195596846020313439985044892682391355025377929793353472956804338462996359083950'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-      '61':-        number: '-1.404250510743589330326710812985742091270277138870715068491831650796440563943906523384005210269526942'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx -31347.87172677239.-    '2':-      '2':-        number: '1.538765858458900139979341667210992161610532514936707199330711902063812796342747295769764810870131509'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-      '3':-        number: '1.241507099545112546641862182804878509478472087965996398620935659594777136400894616377872765129414391'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-      '5':-        number: '-1.209085951523023681952267265936867989831731096794287974909936746987356990333655724549723933723003852'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-      '7':-        number: '0.9105110501094124393597329803239736509651121309196865569418155189712307786371039678820184994902964964'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-      '11':-        number: '-0.1734198538831323508780925451635810812099672216195695495029958436055852601709656578380556579127804825'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-      '13':-        number: '-1.093914382749593687534967776660441764510631573541198469832839131451217983795170520809935212581551570'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-      '17':-        number: '0.9258067850385174067823529802973293370356660080649111002830388415796238461260861691143651854901620789'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-      '19':-        number: '-0.2158753186493279813852488267311208234046606022688782063760421907360950893478116619150197663662648065'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-      '23':-        number: '-0.003011270068966485470399027742513325649715323356693350281250663652051177219311834591669544308709651918'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-      '29':-        number: '1.642120042902868623455698210436327982548848432698499281671609020579164386325887946368784294887621589'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-      '31':-        number: '1.429030478902833579991324476138654646699770212405989865114010397347936359922904665204427843123179807'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-      '37':-        number: '0.6099244882482985216528042522636848917949821621426486336603415318372927456579132310723832276423672743'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-      '41':-        number: '1.387890483130496892319257919794275802228473080362069410556408121731263663023268426616031140432239859'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-      '43':-        number: '-1.285775356334748076875679467625647208140808105595641497620645536546883965204466132783304399113473814'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-      '47':-        number: '0.8958924174021028294225540087725873860797612125847566158442764893645519078910718013338341544140555972'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-      '53':-        number: '0.06687842320133344651257846265602364425069360947208913709037416606706319278772133990737032520168076387'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-      '59':-        number: '-0.8412600408353439995394841304150651246727864161768919878960477490530935799815249148629517741963257592'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-      '61':-        number: '-1.157864712168695595111190445490945637684435886056072776851468892934990516973413275140605441273049175'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]-          in increasing order; $a_2\approx 71307.87172677239.-  '34':-    '1':-      '2':-        number: '-1.848898620856169496761129324880648902757869677180751135863396704525469641722765053371303406830737626'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-      '3':-        number: '0.7167736566471636612898075772038009354414923291012731542388664243495029192365061413259753646199306577'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-      '5':-        number: '-0.5905454753667583730977408539082283578731459328228363939072113271226017367065370005737953860376367723'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-      '7':-        number: '0.6256992195658007985704573750185906492568464618693653107329612738199276061620064232303055519925539998'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-      '11':-        number: '-0.5373486626580254591073246051105931402463589517557059811087275624764777973452234166279878230522882235'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-      '13':-        number: '-0.7935969264563423248452452810051332407136978298790346079785915152597130945276759161817930085751334412'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-      '17':-        number: '-1.664180973207459127382287120984364251832261050623402965365603229227032353585279646634788161326831530'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-      '19':-        number: '-0.1117434458255125205267807491555114940230532771539109387971625630474934880437813659247064917400315133'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-      '23':-        number: '1.063435069076848668665373676437737734108907837819101833607464919410355358447182596647556389798191041'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-      '29':-        number: '-1.120336966534024686434620110455787780291672395289831191465904704858498392424183534801203093847247496'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-      '31':-        number: '0.1280855991110528763833102522520557705688532571405208047923944813110471852718326864417412893275088596'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-      '37':-        number: '-0.4017621735513896811097982242375293917522205426593931459582650687956919679194342226972843941186418641'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-      '41':-        number: '-0.5361492848180820407335988950886688605064288342513390985796499125240235814341114243137367089506447387'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-      '43':-        number: '1.972463363721027499835548198307171929666127739216933863256692573773309748811643114999144671417364223'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-      '47':-        number: '0.8378024547653931984441946570209689583597427098854492102486086945737899075328100627823809622429513448'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-      '53':-        number: '0.3251816376456476596192111948935771440404974507387097346290438438945760730852319307042747273437614880'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-      '59':-        number: '-0.7141737018905793295598450247902660911434365293077327050769996738234570733775491144404740346720914997'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-      '61':-        number: '-0.03459204531796642306764603984564602327965051763961455660958570242549875853764397656009314355342608933'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx -171359.4371321172.-    '2':-      '2':-        number: '0.5360209179939395350745030129159572660974259989285917002544307124088289558457723738721338269281846281'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-      '3':-        number: '-0.2081854897194595456826006854458766446862828743334394155575792250761075018153614247120385085522141014'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-      '5':-        number: '0.05987963803690394074020787270174294867776717640145357390892354033559372663184081584802685255732699732'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-      '7':-        number: '-1.389444037833846718506910792013802753784446983927006168917542617920152573990580581317312916278639337'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-      '11':-        number: '1.415784100576830144743514810396745290177282962544881174637815071784883870760920964036154232556364598'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-      '13':-        number: '-0.4491582847397892392606464551772850161125662598063345173879075192776854918097488031506435697609997731'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-      '17':-        number: '1.268631559028685657490111931086900667987242468050912434537081674118523997941595250766151669667155676'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-      '19':-        number: '-0.9705046585448785364165316968422831320293438114012416473551728600379730492947097083597190090175566975'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-      '23':-        number: '-0.1738398840432379868784163619311588247867102106204505712495288274324392280234979917575234243691739683'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-      '29':-        number: '-0.1222401928681393180959248477791801158867382428027119557672584528454977123281761773779611643498676639'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-      '31':-        number: '-1.668361048548165189898395885417119035448731749321909774966533517443344010232308210258816981800658942'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-      '37':-        number: '-0.9947482972774771716683118117175019880714242053389944204732221849501546816142306647085209447430128334'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-      '41':-        number: '1.216031358125483637022431665950015710343258141343754756668457127743537339650078396580368049334043845'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-      '43':-        number: '-0.2225252525487807121315388773270310913010448143938634218727653773672580486116691577410349547319763334'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-      '47':-        number: '0.5568618164215350163822452543070427216446530474167392557649607722847903477131417823313033320304432490'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-      '53':-        number: '-1.277262930009159234754718766872174182642264322972224949294312745440972321508253477589694558801665994'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-      '59':-        number: '-1.132371688569852206988062990782117539177196705236147472326069956379042177975881271169982163134441026'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-      '61':-        number: '0.01457429209736033573682785099640916912073930943243693686202683777963831734770485872566822126214654998'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]-          in increasing order; $a_2\approx 49679.43713211717.-  '36':-    '1':-      '2':-        number: '-0.8907303788026748798365876000415771459612265770283242731433568535591302247470510906439556827878022928'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-      '3':-        number: '-1.546483971391031178480522651848652075701574086891417606065984528488308890345548125298240382215854245'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-      '5':-        number: '-1.201731497612590880730596101885344209219998854068594208067727450612953025831483841765470277728594119'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-      '7':-        number: '-0.2033526154694013978442626962747203628138430027148003699818564905199009939421518598977454204652387333'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-      '11':-        number: '-1.019113952381924827671296710878531495652760232068292752473762657616627481601209119807828132169424962'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-      '13':-        number: '-1.587027442320132380914828823174323401359078663290293608639006117277135983792195755518532120595025763'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-      '17':-        number: '0.3871373113299478681537133246507136687746546727567962908436523578836747564845797038286289545313608204'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-      '19':-        number: '0.1650957387617458703854439461129865646759282447855869267754406230441716908291630202836346173852425569'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-      '23':-        number: '-0.5157504696391517347806425872885648307351330341406135566833795935795919103598800767968529730862797818'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-      '29':-        number: '0.8229789650283930316094066920082935391868740138580332175245419542517041483203272957770771514410254353'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-      '31':-        number: '0.2716322833195114733133465159118984134822051262539217396720404775221345366408462152523034327543103303'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-      '37':-        number: '-1.453607329526677387439171479914665630309896901197767802690330815284868587122085659284004842568264739'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-      '41':-        number: '0.5172833716807605389636421668697949384743502545004143275757922708367892408193449352672739996915726940'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-      '43':-        number: '0.02568437271405625104525756548056350881046714112543195109309212417475854680651634329679307226497315032'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-      '47':-        number: '1.072049666300293933468071782126733667571260436693514898310031901007914268335070813410521978495545716'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-      '53':-        number: '-0.6665427479764315999145850862796821694039320586007704770138531164325954883763184777570906508565435831'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-      '59':-        number: '0.4011655824250842657870093399625640679385708721619626709809534312739828764748108641967100612252791594'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-      '61':-        number: '0.04368553145789431559948919188001845797597186191947520603222099044119990926387888441049964964707332878'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -165109.1678324939.-    '2':-      '2':-        number: '-0.1446237485637502892162510108806274840944682287737576161708806880815505807834391609099062742343222392'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-      '3':-        number: '1.769195139733115872292762713822899569723685188919137449419029673230062853846222697153966612758062561'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-      '5':-        number: '0.4814821027860211222559557171669681498591327770158271339976039269710636551335071096776060335687943514'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-      '7':-        number: '0.9861240742127249114786108901669930613676202817626902065666470603432812415321877720571509773103288884'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-      '11':-        number: '0.7356070797534798866386105439645897099603115783169783824649616921407253359147713919321213264145601214'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-      '13':-        number: '-0.02712701963205320414839006734107141398619412552542775500149738479334360081264465277216721977923352592'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-      '17':-        number: '-1.149952601741555918867045311160816835547153959821101285644073917933517593494955144779113526075515474'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-      '19':-        number: '-0.01476683220568040134981803220199973687949330814392328471452801842828794393261278495740073570330250762'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-      '23':-        number: '-1.268584457920206606335995525435627259189759946951738737488993733060714114886539555534484828222520714'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-      '29':-        number: '-0.3548121664911002300778615207188077425537166145293754475736413493559282752518631480546021235991536163'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-      '31':-        number: '-0.2654829123043728875066426218745182385563163549442119420965617560591835237799235321257247508179001895'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-      '37':-        number: '0.7191020858470917571011593202451874856826417882203227469311513432813100046375582573239258203393044857'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-      '41':-        number: '1.260292880013555338768460212553163935743989359240574835911911223550419668579373913453286366954413923'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-      '43':-        number: '-1.187597026617968249566976758587835700155403355995869684921661341045702240342132704207481472094540589'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-      '47':-        number: '-0.9448162779814578978610415169176826506475290353704750254777066284058682849735994481699224135607134627'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-      '53':-        number: '1.211154788734123960634161370553905970101559904068039343225846634445843241782957833797636920490084599'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-      '59':-        number: '-0.5142036792930590861101326808237648486979847994890633038517384689343012027961553658326369387178385720'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-      '61':-        number: '-0.01860378286045443505745032224082394398660015928313023276859642470189858291795954045016911012171623422'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx -26808.00761087159.-    '3':-      '2':-        number: '1.788769842648014532667678700598983785255608194731994685745063291949037033451419285282231561110187244'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-      '3':-        number: '-0.6915799222489921247532436533431633189459078384914483839584084252536712006493779069529482758357187629'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-      '5':-        number: '1.243496859575032326545528728660257860912185827749201544409435702800956253548051654347421750993421468'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-      '7':-        number: '0.6444375477908452422811361264073348655999573213723351428234211233036657313906382797618766935075471604'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-      '11':-        number: '-0.4072355067389493075719847578578774074675778412229641066905475505414508490100076607409505001038799492'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-      '13':-        number: '-0.3781690567800454635268938950843978648841067485498497393682655087093419848847996123290837569762799830'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-      '17':-        number: '-0.3901805196936937894905450008034727919455653672735420229092512746266665384741242607849731217396208075'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-      '19':-        number: '-1.502588801321946446596393202333814320663794951824135816380445902100604993811452184640094464408484978'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-      '23':-        number: '1.023272949247183243950058584051747932049395446052341076675591255179240359608198258367708043802003393'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-      '29':-        number: '-1.452288534039482295821874975689817033674205270736791152460171242068172484476847043988364586004207195'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-      '31':-        number: '0.8200434402204684127760553237848468364112031387024827333366384516979888773880403102344902981586324505'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-      '37':-        number: '1.622107901920786021516347869628016119984896672080990191679475665956613720898335053744640343851769131'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-      '41':-        number: '-0.3722570889023515092984213599931184885219697459577601259535277257043521715592743413656524668824766186'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-      '43':-        number: '-0.07160286238892634263784798227643279109706310458605008369731389253070904514791904136324247665161353036'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-      '47':-        number: '0.7723649739589430456096278270680697195320688278111432898374697512421491415422858568627075816524585728'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-      '53':-        number: '-1.661510535497391838180734364262840429247189555957971650417147902343665775347512931123869556042276577'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-      '59':-        number: '0.5603637050951589332267015354651276629330657871258724314913695470650283168949862950047240030399566822'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-      '61':-        number: '1.319169470388452947068869602193488929981305910990916320276511777126874450456921112826567228121921459'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]-          in increasing order; $a_2\approx 331573.1754433655.-  '38':-    '1':-      '2':-        number: '-1.295861850726684650267541184015646258884143375923880751986007994780191361699156952930217217896797514'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-      '3':-        number: '0.05154291865227699716712941811803034858018440130861615487530340846133060020305117012491081186057012951'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-      '5':-        number: '1.620968552849841124765559726027324842524851115138421014347910153284223534275633763412300818580393100'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-      '7':-        number: '-1.258528802413531800236946354652244590480279181751604019529688159611007232787478448913758325008213106'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-      '11':-        number: '-0.05601075280510592369834802356312816670638958758536182103847605804235735245939528028563605563666018078'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-      '13':-        number: '-0.03039570330656262739846148091764848677846810110596753176613087736227899689452039676509408244263919132'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-      '17':-        number: '-0.9340468005188976787180195368005322594742634932304287782845959114713820744467410717920321800192012844'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-      '19':-        number: '-0.6804552546974617450219774603475763820349397585345065283137878884798679742295461386413593594583568452'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-      '23':-        number: '-1.681356917355910803949715363305719858555116457309631023133253047263552861204289881096051228210359142'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-      '29':-        number: '0.2199134742737444311600131952677248338266457698677768274169950440523555026819381815538923708269132866'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-      '31':-        number: '-0.6028586414428873079583583167173223678631309586208953410494567408838410622415631631413030302423737327'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-      '37':-        number: '0.6052200115137969480306554889650859410542875049981590361392315144643787539117708165154179643684553698'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-      '41':-        number: '-1.243521366907364540594822996320850679091372758640842075081150165523555663998502097679903008759825972'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-      '43':-        number: '0.2137125646286646378426163749634182584079720464208497494941048317231582957038789734829014163380232180'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-      '47':-        number: '0.07791145044885296633640609193355207473088944545195662885094154662346894100811768325000787601106704890'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-      '53':-        number: '1.565911437132625951210515590592903692561363843680091492116827150753930988537390577814480465570351725'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-      '59':-        number: '0.1139789655517196438066833364960172277859322444949171257818497717213138049992642721799970635676767931'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-      '61':-        number: '-0.9927583501868274116451462997457226163508955323644573054351001694471441110268745273561972087282410052'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx -480411.7539742225.-    '2':-      '2':-        number: '0.7714876202935454643867880712486836229398833269178407407220718736685153481092338412959335099475529733'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-      '3':-        number: '-0.03069234728164479004719750288183052140752329008194364615022492509085525808902255040227386690075295292'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-      '5':-        number: '-0.9727112619967476700805284633828349428154363209158528650161955380043277246016072943513996909440964054'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-      '7':-        number: '0.4581244682482572313972334855045602892170901200098865451946942298772214666141786521784184852020019712'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-      '11':-        number: '-1.393761751505440403151084041612544887003520475894057969769443077610158574068299196671427000539057174'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-      '13':-        number: '1.338975718203915444037649949883429547562980750146818821041822583267712503281821462758959692883338527'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-      '17':-        number: '-0.6084428119526850102574024746222353653133096045134001001894109519033507667993202105106532910213358346'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-      '19':-        number: '1.502866410559374323226757546680966159374314654965625302585442428112441617595542233928493415653246637'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-      '23':-        number: '-0.005267550833912544050034828885123348641117189281035023778916493562262061091867536872567737041311728042'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-      '29':-        number: '-1.341082583495213676343133717189157833462697021619324590098060911644644410782276380361331875416747254'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-      '31':-        number: '0.6700245410984659816965582182936034611445112587209492319628132120955783075378918905687825545963805074'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-      '37':-        number: '-1.267343474482780834023611464633013617157220212448131065195104807412652796203715402194555705242093301'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-      '41':-        number: '-0.5931681416898510282091841497124529431117024393486979700635872524865955949318460476977402136001154683'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-      '43':-        number: '-1.765411359304014846005709983635114386519660637167710852569637941791746777018916235983868266397032559'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-      '47':-        number: '0.4173152062912311390115707317685417133387995840041612129402398130465333914263362875145875093864168313'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-      '53':-        number: '0.4500047429223205315112491014784244181338451771088151963087571451570611702927563234249110831349635210'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-      '59':-        number: '-0.5267851868509207762849727199124828869112532762301157129115515705044618704350991965959941460851347862'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-      '61':-        number: '1.088068880807194134485625301863928490508751934651059555207611056985032495090185498759968042871884013'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]-          in increasing order; $a_2\approx 286011.7539742225.-  '40':-    '1':-      '2':-        number: '-1.077815305491872856846310363452715742490418266302905256503173946502571264868800574935493252354512574'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-      '3':-        number: '0.6314465362261163034619764575476713477329431759079600618597937304344845880506102284578178253776806251'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-      '5':-        number: '-1.445377543611898645607301396414588049772336605081308878680879817762433437219498866550466434970397519'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-      '7':-        number: '0.4767438387188188741690329951752283020043453796180242747737949216053143310638640449021376293993841468'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-      '11':-        number: '1.654325758157396572621658551626470935021008660095007140234192270840472336941817215140724893528494171'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-      '13':-        number: '0.5719435283259639217532180202980158432037300154985173877767189348807440402154650750257883133473376344'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-      '17':-        number: '1.465983605409172063626140635244425591484415806999385591808678447128578415909885646094087527107021485'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-      '19':-        number: '-0.1851741859930711050766029069368351127954042358653117809386460502505470772720376926850376178718176887'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-      '23':-        number: '0.7673347793621872081631694095102125076778745349153894423272162317841750060506804255680684336927967009'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-      '29':-        number: '-0.2672076130058885583750458387379811578257885259391985038740961315869665334132905766232849221239362220'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-      '31':-        number: '-0.3775469525226551883057988264120617790902323443623517583843327080187752268130906388159044796149382057'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-      '37':-        number: '1.475078946370887437167783627587280014911095103705585583813544332548183932051037436657906525581332419'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-      '41':-        number: '0.3210509752568237361815903573240565931432716755243690442350149406358264146438031090672446047504481196'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-      '43':-        number: '-0.2668028290766666606176368522209435467511133534522378626770687691134163409535051455997049175324894105'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-      '47':-        number: '1.547503705467737339378117700007600715784691593747186910215441982444761001451739369813276917168844344'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-      '53':-        number: '1.113724073278660367591395165665365113501135736442425047597241244689134790202809510069711823529896510'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-      '59':-        number: '-0.5546956720232208936694052732919723557571123487604872821236360235806697755934751783523148788671347754'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-      '61':-        number: '0.8595039187374796058546016102971210194576397566562844988611413880961621614011481965532847593101563872'-        comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx -799151.7631007462.-    '2':-      '2':-        number: '0.3256943162527601758535614071303904146835971940406618976334142580068711244657560358575366773739937072'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-      '3':-        number: '-1.564566767895857530643793181440808121843786086937816276683235681206619783307637042266595353957013697'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-      '5':-        number: '1.257271694539006598437745945744437692376863061865342957724736306849450976881187782632631821495516604'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-      '7':-        number: '0.6037524410520824523986697778985994009311482317787462438590077652751472225771065883942956689656084385'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-      '11':-        number: '1.266449866641736094409145736785007839778080338376052375087901897129084303816294922736068819156534792'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-      '13':-        number: '-0.5563193792239405041535105287965594780073287265839306367564664144579015586963864067078891099415761920'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-      '17':-        number: '-0.1003518910565435450733995456426227271016964189832889521530607260015389072399671381797455272340381907'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-      '19':-        number: '1.444249178418742916656085784711068220980389649146851860171927040219470454118089686227539836881541500'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-      '23':-        number: '-0.5205796985733647729078060254112437765108403701319833350302726784787716665353023988936792348703507301'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-      '29':-        number: '0.4009324319333008972853699524968185402341063222661339051715600746468418824508511199518516982658346500'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-      '31':-        number: '1.566633603740819449761804610706763317989633487223577297492320710628039339496840542739607476918959513'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-      '37':-        number: '0.8495930046624595698839606355635223771846275866271040258400928523378491793252824511854328799711311362'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-      '41':-        number: '-0.8067934670562684991121843644677779960531119888488639675667308779686471959274635028660711361358891740'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-      '43':-        number: '0.7533572792219916729835289452484189401187875954600937765374269423853641980749853509970348939651084525'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-      '47':-        number: '0.4644418762575507592527731356343631574395934513712382208128030352783534288666909835144410011093204696'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-      '53':-        number: '-0.07674904871521866966072296594075993855808451651895403073821767866787018496037393617409453668441573770'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-      '59':-        number: '0.2978699023148304843967383595793198785209463749290879216991013697076788288311026690170478279110439600'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-      '61':-        number: '-1.329767767417701658519195848235228453182197223380635873429125834425706138657015605498816205499351615'-        comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 241487.7444577613.-    '3':-      '2':-        number: '1.492362611200560831727745433845020915548134841442436508104016179465016112920819331668353742702202410'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.-      '3':-        number: '1.484232995397548902139099294745512516837190040190358774728001335212451774266599862841416177482387658'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.-      '5':-        number: '0.5967125323287798004535337551991934607188511452627711653948448906554946041885218369463728314438613969'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.-      '7':-        number: '-1.677217371835103800997432784007438098625277480651147763198669619158070234503950207235922991630598463'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.-      '11':-        number: '0.3715197238505965083802053339504201713017356940575084094204438227598160711032071145834749656496378952'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.-      '13':-        number: '0.5831357819015479299482910705128364397280136524400406426188508259461130514410161717396925511047798695'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.-      '17':-        number: '-0.4627130616767625490111344907201383627748333784603324189704922030810731117623879322882927970232737931'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.-      '19':-        number: '-0.1890495227333346971811456950059616062958298497867928108317407677970340345938871171922447991919154365'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.-      '23':-        number: '0.6064358361314574861171896516525323917221311593368847663810857131005872870595368506569485028350478811'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.-      '29':-        number: '-0.2095661517774158387421496142718820383228507701455980890800155893207199066465263902885069675939444451'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.-      '31':-        number: '1.347917538082317215231517361967709891013431332512015977747366217107026547841381468549290999661130711'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.-      '37':-        number: '-0.3256064663859441596135444202464528156463965168178852770544582069390599408711142084059255295220727129'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.-      '41':-        number: '0.5707509633904393634321151068835835514240809048458259895600520077593806161600379282133538687088630336'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.-      '43':-        number: '1.800072632122094310867812279822086542864239919906189080705172792986007332851415223382578337273324327'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.-      '47':-        number: '-1.509707556253413678551569799338768964523055797314294206545323376322196040777355696479495257595719925'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.-      '53':-        number: '0.3600062065512081620396404980655658060053607593807932986498106088078982972119551213243033094077322337'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.-      '59':-        number: '-1.392151019508250843141690511800469726035553369376879953405980213002355478223965108023460841528911981'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.-      '61':-        number: '1.077724991238206957380224342653173652902661676997053673354073518456173956294496792101654751068382490'-        comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]-          in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '12'+    i: '1'+    p: '2'+  number: '-0.5303300858899106433006332715786367794636269532663555274412549017465246794232901395688953253728655898'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    p: '3'+  number: '0.5987336124929452372687468834835114354864018161319834269822542645019027712771160622008900398667032113'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    p: '5'+  number: '0.6912133332047349909540037644782121098994039473231148318866197565013002285331582505069837819180491768'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    p: '7'+  number: '-0.3765476965589635683036749498842810101921187580135194164003722274295803311219633746416885693132092769'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    p: '11'+  number: '1.000872909497037372201709351366952167872079291390257239367279015229860043066259727424970513177233932'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    p: '13'+  number: '-0.4315613032925094500793614697879840256772811147033588560141724538506849925847298429649124751377563915'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    p: '17'+  number: '-1.179650499416253268565296209088267407814883849126701535726662993525898587750106750281795551718469753'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    p: '19'+  number: '0.9878027871269624608218178433593492187049581745222646186402897376171373576796598553989516818142493371'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    p: '23'+  number: '0.6039751046808208209140173592184700225176129315948113185560554294015688964112683493941956400315663262'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    p: '29'+  number: '1.162514717338632422877579844123726324800993580078314702977416929836581763729813349975384622906645272'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    p: '31'+  number: '-0.3315122110568911588257876058543706824657705225732363299281988553439305445301072538749844503262298464'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    p: '37'+  number: '-0.4319869472570346910408567304386573194573007766713625873755839216890840139405566455558323097887019712'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    p: '41'+  number: '0.4153452998335415440833204775340603490359265084786771856233937510483154592296031633612439461207671479'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    p: '43'+  number: '-0.01776527886859974698913306210573175610806495707096420203283013005980400219189627621963859609956120900'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    p: '47'+  number: '1.709172005305176414105573550060353324469808786775944071172584250096155742995936582713829317540728689'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    p: '53'+  number: '-0.5242407305685585099265397533232602208943059602157070654311094051502656177247561486689991491072625938'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    p: '59'+  number: '-0.9449626830605435624175307069296804801073408113814191457344121507235239079791321233746040555825713398'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '12'+    i: '1'+    p: '61'+  number: '1.054569884035339663097444438060698301915856918487749666113869196070530567518665725291324765383820971'+  comment: $a_2=-24$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#12,2}[$\chi_{12,2}$].+- params:+    k: '16'+    i: '1'+    p: '2'+  number: '1.193242693252298947426424861051932753793160644849299936742823528929680528702402814030014482088947577'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    p: '3'+  number: '-0.8838448565372048740633882565708978333370693476234041064976134380742374242662189489632186302794190263'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    p: '5'+  number: '0.2982950459072359451644980220866222198497551941615529100588965259733561483135641940697219451407829615'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    p: '7'+  number: '1.295364169972583632931098296984345586969693367185816129001103039702291875563311449410671324957686217'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    p: '11'+  number: '0.3185259382772092568189486454717703042141638660585435472501590669207796624841742830972589661402041404'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    p: '13'+  number: '-0.8401291610268996400093050047930069082435017506453939756447322031033318262698186371099146601072418216'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    p: '17'+  number: '0.9732002380002932546245193662027657524487725796908464139039761170875865273133183987554213542517473096'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    p: '19'+  number: '0.4012161672986115865868364663962970060486234096940814432808438472029833930378969513949028719366645002'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    p: '23'+  number: '0.5787944082933429787812098443751235852886773502427195741635731097429813650907029927451064934574117069'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    p: '29'+  number: '-0.3972570459572397399803487429191191409417360478052746599810752332880976279562090981311856347402588390'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    p: '31'+  number: '0.4673373150992241328767667111301962692872163689519683760185319084992692349649214172513472938285225367'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    p: '37'+  number: '-1.790034712949766770717726086089315617920960121724193993105053934214300348798752294539806394995473860'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    p: '41'+  number: '1.316701575969749230097415213089433437183169385660604114074027298384076798938469642523082380957378659'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    p: '43'+  number: '-0.2762532333271328704825270035399768160615906492648095002949959981377136608859527044432492490925268710'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    p: '47'+  number: '-0.9819913689723332250999307166780014025833808059346814944544923837036400894109800970677605276363452060'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    p: '53'+  number: '0.7948001453608557647812060664080828638100698835021717742360991245924745184606473899699150860024742211'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    p: '59'+  number: '0.5157467167100643210178415844237116958016559955075851410836114316650250560904031928815695885751300053'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '16'+    i: '1'+    p: '61'+  number: '0.2009256802787188690624692529609652117201632048392638743660672282379892775671830836775061954641791919'+  comment: $a_2=216$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#16,2}[$\chi_{16,2}$].+- params:+    k: '18'+    i: '1'+    p: '2'+  number: '-1.458407736197254269076741496841251143524974121482477700463450979802942868414047883814462144775380372'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    p: '3'+  number: '-0.3769804226807432975395813710822109038247715138608784540258637961678647078411471502746344695457020220'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    p: '5'+  number: '-1.174461611375697541151411613730805619776900272234231636092569568872644040481557583904909834667711384'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    p: '7'+  number: '0.2115095328029506935584094975280456346630399221202337531380231764339424333292017524204467117059395927'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    p: '11'+  number: '-1.060018806604012966003266175657055115852580018462396786681214825546162736292965932691261807291957922'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    p: '13'+  number: '0.8639670879780245693253311347537985281038850984430620292002710999233454648238626564777981019604206863'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    p: '17'+  number: '-0.1887832193164064796579241881979268234812103940796308753851638132618447829814453809797239843396632495'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    p: '19'+  number: '0.02009330263563849804938743421426720616406378659610633544766121166105715613756618391561221338477485071'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    p: '23'+  number: '-0.8443032038817561849926416212559773548327475466030070835129221991703311688330936383164316068773020307'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    p: '29'+  number: '0.9033008394740900204089654775014695778521328773815554262104658132768061793765468131834636737052512520'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    p: '31'+  number: '-1.863610862844638278658911943350798107715808612255624838497266765054915421098294834841482073746245905'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    p: '37'+  number: '0.5940233726728624483463091466786848270033948053091223514396920415404459129848269654227234053983526624'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    p: '41'+  number: '0.9557131800919007948201208923398492023011764547328238156721172476195816178932079969621701294853737584'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    p: '43'+  number: '-1.187558017959507052170630819530571926504124141251280230201176422029015053892652401786836965260007474'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    p: '47'+  number: '-0.3020362852726075812758212307897945200879342291595098002476556442023471638084496631718349997519633169'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    p: '53'+  number: '0.05061241980788769593429897472022451747275448159079251810499614149019723920550850807894729327371288847'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    p: '59'+  number: '0.02898948151353914037843028790613535496720129067046951296279716373259269829561252573870379226969281230'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '18'+    i: '1'+    p: '61'+  number: '-0.8737738602605760237218366311300710484029862714470458957460737748431182527319079945055358546295811992'+  comment: $a_2=-528$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#18,2}[$\chi_{18,2}$].+- params:+    k: '20'+    i: '1'+    p: '2'+  number: '0.6297669769942688889195020099996311756130570070037971888364901958239980568151570407380631988802778879'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    p: '3'+  number: '1.485746371741752996185408933088713562132923025216403318807816137838055025020991709905912321150707969'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    p: '5'+  number: '-0.5443635579277081622671496777501105597336453626187814269070206791896500791112267515818826709630771987'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    p: '7'+  number: '-0.1584549951772691353811217158473426051548043452869083285742646939670466018919291063448750800613334318'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    p: '11'+  number: '-0.002073046191897018740447267659688674923195695716970366766819766312638937301958664134974316208972445078'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    p: '13'+  number: '1.318727022611535414117896397368131990350672400418945494914891462738880567235643316813843343192572350'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    p: '17'+  number: '0.4603127981810038196424923070421074184522494651729783812019015089317779788948604290005056219766806477'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    p: '19'+  number: '-1.215927401541693572492080955479943654764125197606602704522684590721273490463438700264422782879811818'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    p: '23'+  number: '1.624970436718039737946458294473438208103601498427966992820042886474612429059552029286975776238263308'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    p: '29'+  number: '0.01456459495981460721329463982494094957866859104311392566971925839367384902141908104634975307630140955'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    p: '31'+  number: '-0.7107341509564648012475803973230805963560835029542765850406863209579181737652362428380709361994844306'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    p: '37'+  number: '-0.2142778876378053771952494930517375774977596466446563569962921688376553646734957521002711728768204784'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    p: '41'+  number: '-1.578989907448420819042739211717980380484291922496054684831486930778964321452503784343280510656762908'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    p: '43'+  number: '0.3422358328258123814772079097150723012067941376081342601990171023452884302080282056221385400086343469'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    p: '47'+  number: '0.4560120388384573656618423471052279057084079408089725979420469591428079253417952129429780135815576977'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    p: '53'+  number: '1.247002501450263882654081161015914935127913076836275140241665430328846596666195623654486135435020067'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    p: '59'+  number: '0.8775154264054454335905292486317530779691180025793531791501571764735361602182979263170715532626274482'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '20'+    i: '1'+    p: '61'+  number: '0.2559138301474767779102097823332701296136939866332475910386477885518874110281518727224598063682136155'+  comment: $a_2=456$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#20,2}[$\chi_{20,2}$].+- params:+    k: '22'+    i: '1'+    p: '2'+  number: '-0.1988737822087164912377374768419887922988601074748833227904705881549467547837338023383357470148245962'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    p: '3'+  number: '-1.259769311647413876651878363308340639392023574330610632080827755821463855614813866323918549490259138'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    p: '5'+  number: '0.9910402108963650320487650694416407029219051497356297753120824062580083266699561766498789681357784734'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    p: '7'+  number: '-1.027723678173571312366808539204218313544100195641273486916418715714745974116771938239100768514233754'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    p: '11'+  number: '-1.101136338856333121668729325424789771746039864752560145346534554877307556121333029096734238237447256'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    p: '13'+  number: '-0.1621986502933202219542363457646379777558623748380508684415826205080799031755773745858356426152893127'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    p: '17'+  number: '0.3672071369119166638572280950150066425365665974101878361668863230625960543556215368422391535132911980'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    p: '19'+  number: '-0.2963845758860839815261642524249345533376138065332954455085151884374846769045466595551887834041668929'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    p: '23'+  number: '-0.3716904386542675975984169412019415127043783812721226150838006938504808813280880767361460396529796643'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    p: '29'+  number: '-1.877239334313507764290059756942048418275793700131801501092109386090210103809719702727887629523436025'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    p: '31'+  number: '0.4164659485374165913262626627373381739012092165238386017076890385425710606187515106643327945337681926'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    p: '37'+  number: '0.7586949342768825519322246554197825208217037794320724982621470254424989373610057239838508871662392657'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    p: '41'+  number: '-0.2399480366260902296071180646844143552035413332614789411467542175052950813091446586589263568769134655'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    p: '43'+  number: '-1.366154140637430707070560348318909833133085075419835037062387470072374257238196668844976894947362422'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    p: '47'+  number: '0.4075427065300653713119573878364765247496568467690262572565364801929170860005339989914541609820432840'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    p: '53'+  number: '1.600900963146133584319719519231187729083953288181754385318676646645841330682031230994492541686937834'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    p: '59'+  number: '-1.522144718212955987072306876680531403205156999973695678591912299748290508229937246754906376595264489'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '22'+    i: '1'+    p: '61'+  number: '1.111144853841389519846148897788037134664759787852813984898616616663159353927798256396041237388136591'+  comment: $a_2=-288$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#22,2}[$\chi_{22,2}$].+- params:+    k: '24'+    i: '1'+    p: '2'+  number: '-1.386713451731978864295125080733199128653280597657630418797748428242657257494258153087934954779003296'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '1'+    p: '3'+  number: '1.266003614607435860226755548889435212319869803028098255179693667656341140882694669252494286781659412'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '1'+    p: '5'+  number: '0.9622562593275645712172889997740843445437802629540908812930035075720286803226014910169685839917050603'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '1'+    p: '7'+  number: '0.7286929821871229913895460085939896252097904273639934320514336503034625979878336751807263970042821771'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '1'+    p: '11'+  number: '0.2665192018758358943338300067295906843350802124468332276293385331690666904764573794659843347383676960'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '1'+    p: '13'+  number: '-0.5557330160428562979299393551528560071582404066154034589775862471358895871505070493903697657121823538'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '1'+    p: '17'+  number: '1.657314946255125131717092622913138341437045737014457877810402561060762609247634034554503317356938563'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '1'+    p: '19'+  number: '-1.227104205980233712360223074993434707160166250344377315336341135741037424495001678921679435351525607'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '1'+    p: '23'+  number: '-0.7851733143026698802972183914349125882377825698426322031834950573318569343058656452502429312437162497'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '1'+    p: '29'+  number: '-0.3134207440437849937908341051325398444306984050465224695835326506528331389590823667875306963292439940'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '1'+    p: '31'+  number: '0.9638702104739258909721234290850150890460836209017431575872157617060622926452701835844477915479149909'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '1'+    p: '37'+  number: '-1.144838243792219520864031191087631567181272639921644130735299369415105094172485995192767259312601378'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '1'+    p: '41'+  number: '0.3975060713523978014822944408263180283507694337296047453236010924031669963328898161571948336532200591'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '1'+    p: '43'+  number: '0.03590430628680864112302591985365631162283605120989535132535130198883202665905412223612558168330367400'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '1'+    p: '47'+  number: '-0.5120500125566444887603935557554327016520425128097402780011759044151853674027829410697519376628432724'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '1'+    p: '53'+  number: '-1.131357516517204103798609712301610662062297241540331187312117512837669305090562533252354794997742126'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '1'+    p: '59'+  number: '-0.004397596720133884519141760932862397836917388051207753980949104152381954158934486125913542718165163768'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '1'+    p: '61'+  number: '0.8454717480974119786683922489441562783923141240253072478793376463182977936654650980979437221805917912'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx -4016.351171716245.+- params:+    k: '24'+    i: '2'+    p: '2'+  number: '1.759601793373322285365882849811928114213643299173036649029880781033182422713759032472314480431799414'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '24'+    i: '2'+    p: '3'+  number: '-0.1595842601476134836944641298713061046113122631251776758258512780320136603529661827632932136985688220'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '24'+    i: '2'+    p: '5'+  number: '-0.2930218958565458363274449232956244492562374718646449303077273936813303922935310364319939010846001505'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '24'+    i: '2'+    p: '7'+  number: '-0.9885000258570738525584865277945294044119879962721953101271681508384124621396308613756299868215837849'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '24'+    i: '2'+    p: '11'+  number: '0.6389310130940702246290392849420136772633754517252143692202321726541778820182561437775763692416603969'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '24'+    i: '2'+    p: '13'+  number: '1.232968353830267799343686703867922371129000077320669831883616620836484138772515628051905753152733269'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '24'+    i: '2'+    p: '17'+  number: '0.1403934443561437923395685585939698095824470723229308689826679623081165233165153004112731031979011060'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '24'+    i: '2'+    p: '19'+  number: '1.235495026893432850899234193223603573964412410063643180591061081754732877850941430663908169410863020'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '24'+    i: '2'+    p: '23'+  number: '-0.9972287457378191760330996701728666470349572600271183029119012104647062459886445585625663459187642163'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '24'+    i: '2'+    p: '29'+  number: '0.6302834114412152574174587873559123071799962826432111450630639684111259631064493421907899482942322387'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '24'+    i: '2'+    p: '31'+  number: '0.009591038275517184201618615830780305427680936928798877901120381775139908175572374927986873168456402648'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '24'+    i: '2'+    p: '37'+  number: '0.3153281296436670732891672833073426094859206249942533439823762103419795625066648203272512940553233532'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '24'+    i: '2'+    p: '41'+  number: '-1.048626763209357966520606434576822150523766603552032730453526652955562104706520949948093205509442685'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '24'+    i: '2'+    p: '43'+  number: '-0.3232069134913499945301862782142526861264994125658270856934328703063367879509321763484762206343344650'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '24'+    i: '2'+    p: '47'+  number: '1.441923356591801400061414959409923215698048127195325735254764137721135920869567194304241785506207677'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '24'+    i: '2'+    p: '53'+  number: '-0.9476004666964863713016065709863660260702934723484678783239038914779318149556669231649933236609587547'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '24'+    i: '2'+    p: '59'+  number: '1.216981625053662440990161505693251687797595084390318308303628706663218435660883585111733066213483971'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '24'+    i: '2'+    p: '61'+  number: '-1.376442678800444786733256058636870042920433289598502943190413989900418297543699908430469907329853258'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#24,2}[$\chi_{24,2}$]+    in increasing order; $a_2\approx 5096.351171716245.+- params:+    k: '26'+    i: '1'+    p: '2'+  number: '-0.008286407592029853801572394868416199679119171144786805116269607839789448115988908430763989458951024840'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    p: '3'+  number: '-0.2127188005976307495920513618960623618531935121785784740581671529574661423330220303292599730116270669'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    p: '5'+  number: '-1.359167277641623414268058262803144166803987743174985343322443289794613747741373244740211863315096702'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    p: '7'+  number: '1.067175119485490500224870012621816959806788994898400711285351514055433764840518283986237880906978060'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    p: '11'+  number: '0.8088696231973608397151592712897576611727510048291167075827445212867675535693055745956130972695157192'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    p: '13'+  number: '-0.9720080133493531294141202643219812586868651700269461015672801895500067962395739188070429240291030271'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    p: '17'+  number: '-1.048991077745249899013013097947591921143584913070329466500594192331600626425283253419947411707171785'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    p: '19'+  number: '-0.6304206480590941067704999598191026409209304908683029976622913308084169168623856123429639033452909272'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    p: '23'+  number: '-0.9038660585135445584200765084673958600113254726665652082531204099842397605906047618787296780218304740'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    p: '29'+  number: '-0.1423606312127414237068725060652353443954910641018267045292650692000128665446384102666730341336810942'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    p: '31'+  number: '0.9785989589958676521132566053307857458463420768735398766371708042848814948374576421506720364721347763'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    p: '37'+  number: '0.5069979973687969510046054047821983548479005676242916213837382361620239952645634315573044572580213885'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    p: '41'+  number: '-1.271790414487243312543058522870743921147138109312802401543065122696206910230478320572805694638898089'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    p: '43'+  number: '1.148336385578371378952183695405075539163724379730550093693834108589435482690576143420462341932171395'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    p: '47'+  number: '-1.160428568508038010587923701758909991652186599988955322247304761289114329080549948421692370312014451'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    p: '53'+  number: '-0.2768949217008764812289171007574650819236884929070388933896418206979032372588122833643513281475158427'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    p: '59'+  number: '0.9550934485455756703279617693733821635889082443484052355934175958799348878918500714301685714916143292'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '26'+    i: '1'+    p: '61'+  number: '0.4348750888354600263855480478714595105019830875244743068039334868651629930667764907562343242128062146'+  comment: $a_2=-48$, the root of HREF{Hecke_polynomials_of_level_one_cusp_forms#26,2}[$\chi_{26,2}$].+- params:+    k: '28'+    i: '1'+    p: '2'+  number: '-1.615296931973749712110209788411903186406380594941535114820284668996984846689879945662685032982611027'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '1'+    p: '3'+  number: '-1.246183300308259589535809378998312351319827457345540951518056842356595465240779787695676695350508971'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '1'+    p: '5'+  number: '0.2112270963075308384096834364530986645007984663243843144233466463942903041663851427964243204635313432'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '1'+    p: '7'+  number: '-0.7680042467362946817272963117745778542709266689085190099450156647946807996059868336405307704906336416'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '1'+    p: '11'+  number: '1.805381738710423818573982616551089979197530184829663417731595304565683948490623845724821100633940241'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '1'+    p: '13'+  number: '-0.1526113057217544765028857479998890357093464847388599763633559708781611934099872492235978917998703323'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '1'+    p: '17'+  number: '-0.1339987404592490651576601263693478068973365420970062951851984469066225758506737598774430251011856909'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '1'+    p: '19'+  number: '0.8808905998366487024966023723080335212997328717882538396847985888495239404257589667771117858742596989'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '1'+    p: '23'+  number: '1.159740709850372370546622566516789907593922108629293178958305738089594602912148326304071465222975214'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '1'+    p: '29'+  number: '-0.05426503282386875030950861247325996663025942402320731415470215902494578550237108289841851534453591199'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '1'+    p: '31'+  number: '0.6687625833396147341401039737460355480505981127749290317997912889661916857094504126563948364200641170'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '1'+    p: '37'+  number: '1.012440470348131447241516914054201501575287503285477728691440741408468970738432390399419832231030380'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '1'+    p: '41'+  number: '0.9236793194333443126455264562878159132835096176192678713354878821657628979470178347939010370379704848'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '1'+    p: '43'+  number: '-0.6044290235512866516946554321212293051373921243626881790146005776804349075150256266104769961253098153'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '1'+    p: '47'+  number: '-0.2515195659012758748268519692540324437675537898797127048380291096586175450762320332134870894969430858'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '1'+    p: '53'+  number: '-0.2827408645667824049816758079632896171274750323331771589507767503078673470181260865054098762885599940'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '1'+    p: '59'+  number: '1.136359650941572072741750944056607841140262349278990072593035789664360059888666462160465560746338365'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '1'+    p: '61'+  number: '1.165285889644322503321319116247862395307145981558191784931787237506318720866628120334826786847919891'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx -18713.59859471915.+- params:+    k: '28'+    i: '2'+    p: '2'+  number: '0.9005942771611748217245907310110059640823520837036731735420309928151449466858365935092909421480851348'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '28'+    i: '2'+    p: '3'+  number: '0.7803842719725761499988849958061625573004241240035902940382313612528223901927392689934361587503107054'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '28'+    i: '2'+    p: '5'+  number: '1.783071490565559610001784541414850787468057805899732443396830567825595017008450799892429426680992074'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '28'+    i: '2'+    p: '7'+  number: '0.08379939405324849044370683281961203959523792128935353999576441302672968606128240775162099142821082438'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '28'+    i: '2'+    p: '11'+  number: '-0.5986683266660720637019032008043881969668423857898127378066161675467939969864745976690942909017610632'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '28'+    i: '2'+    p: '13'+  number: '-0.5373263423570909022779338706510642341779955781549133719803431357574569084532397400939823351325327539'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '28'+    i: '2'+    p: '17'+  number: '-0.5945848377710350941811268904944255760025908151095605272955585890384993053397178695111783690205490353'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '28'+    i: '2'+    p: '19'+  number: '1.326176643534780876255053102307888316284100171086770095297402738738823376317043530724234021311367899'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '28'+    i: '2'+    p: '23'+  number: '0.05198769211466836451619744759321631758856626054070792140960785395980614496867821635413024264900108816'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '28'+    i: '2'+    p: '29'+  number: '-0.2270964782538272249175635331177214969023806447321016993383022058152581453350579389234117968449858584'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '28'+    i: '2'+    p: '31'+  number: '-0.4588007269472087767830452214965586375336372947233840923412044275734839407082640030421562099779143770'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '28'+    i: '2'+    p: '37'+  number: '0.2481766294974023277063348358868471671145984713378397532775859619304123343184168374614935829457420210'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '28'+    i: '2'+    p: '41'+  number: '0.6094120784640162992218021039153049372393134874321296486352998122591694032333969028543956834508934795'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '28'+    i: '2'+    p: '43'+  number: '1.061110016176858372175972703704643198086233870925923605351495521010414077197133258416582994143823282'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '28'+    i: '2'+    p: '47'+  number: '0.2207959928061740148273597625729343420425885700397736063868539755884638341655710172643335723556520756'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '28'+    i: '2'+    p: '53'+  number: '0.8469910600883175384177766959521732343348782074707513285341363524008091072228114631952570528991653424'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '28'+    i: '2'+    p: '59'+  number: '1.356007383262304272239322473825524074424720028628370964054287247577424885395134801617778484497469551'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '28'+    i: '2'+    p: '61'+  number: '-1.048365468547328918883547355793816038523318543163087670390226707137625558350749343032530166273481508'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#28,2}[$\chi_{28,2}$]+    in increasing order; $a_2\approx 10433.59859471915.+- params:+    k: '30'+    i: '1'+    p: '2'+  number: '-0.7524189739009653217833804476440777294975683435523585425055725341113470409849593734818857821049995626'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '1'+    p: '3'+  number: '1.149678726452501121879860532400169824060946419299013974295060114294214673810555394244895242391959484'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '1'+    p: '5'+  number: '-0.8252087992301811627618036617889158112555181659898522072112595038405871810433411019224947971250354724'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '1'+    p: '7'+  number: '-1.664212704579535917913520707242837800789020769056109695364744225796842579937553028892942285159838873'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '1'+    p: '11'+  number: '-0.9989058233626319306250085647578711291067408921769379904885901982908614122636298583979932875238329577'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '1'+    p: '13'+  number: '0.4290069416948860505463130555736296651175368028094058959304027487105758257884648698810653783009866672'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '1'+    p: '17'+  number: '0.1194042791858177778366675758649081006519707075911004311213426566120971792399557020922387710424328008'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '1'+    p: '19'+  number: '1.068847867571145427599699283926833751129432088516410861468212309280969647938929691427971497573806522'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '1'+    p: '23'+  number: '-0.3048944598046837680946049390298311005830494169817089341590770850986820480794977103007654694575225675'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '1'+    p: '29'+  number: '-0.5500511581912282607063155384299115005580936307812183267848180035983828138011180217808697563976414800'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '1'+    p: '31'+  number: '0.8805181399190703772604069829267625749271325418036276702083829315690589414276626684951987940575921082'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '1'+    p: '37'+  number: '0.3607298350227331127514072805657925372564790938347576732868989862467473029579689739385877218452968811'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '1'+    p: '41'+  number: '-0.4143669007531177475074960516318730664103372656638111865872466714741082497235072206713336401411663802'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '1'+    p: '43'+  number: '-0.3341310211017978877716986474619492945925284414120460720567138632244360166037427055587873177060874507'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '1'+    p: '47'+  number: '-1.487509440644847374949048815969264960862017671104510164047602546731061040788948268703977771653672172'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '1'+    p: '53'+  number: '-1.441901575317273056307974425838292421176477636075138716557720214263263306496422840080713835663629304'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '1'+    p: '59'+  number: '0.1234173233914681222214118382324426482204849666604696800627687777570794310345038701111254639508192381'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '1'+    p: '61'+  number: '-0.8020319917826961641500862326534030376139371686743112238059962489356506433951462337332566023961292937'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx -17433.90502875288.+- params:+    k: '30'+    i: '2'+    p: '2'+  number: '1.125307315542308742854138216722806715057931045067764772737704886901872206204460252866265307757795680'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '30'+    i: '2'+    p: '3'+  number: '-1.749320557967017007892550108262514726353487383641357208044860638013868061494846010680403887279181787'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '30'+    i: '2'+    p: '5'+  number: '-0.4554145524095251125315850347249661984463028889372313544406715096240561707338334387334540890874737154'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '30'+    i: '2'+    p: '7'+  number: '-0.01896638085353562502921756442131902680091391046565552229082834203359190315025675316545045636091143610'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '30'+    i: '2'+    p: '11'+  number: '-0.6330120585559747717168975625100503455676938259172371903054269099981657135801745072152293469614252607'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '30'+    i: '2'+    p: '13'+  number: '0.7782960470266394515708045261384339841219620743996182860160978686721688922697736385309254081458028309'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '30'+    i: '2'+    p: '17'+  number: '-1.076992930799832055907045399379935629798806841490352849794028988915934464735854688836840348925040826'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '30'+    i: '2'+    p: '19'+  number: '-0.7150597671570491470101828024551363827720219320902051819156934371912635478263436187935032412224194495'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '30'+    i: '2'+    p: '23'+  number: '-0.02944612660176609477513898239984602048500376235676904157758152383349159891389917798039958324961174889'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '30'+    i: '2'+    p: '29'+  number: '1.171678929974289924656893146124778475868517017409335467912188456144628176878582738968385866952570396'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '30'+    i: '2'+    p: '31'+  number: '-1.138499493194146103622964041345963338499500056431202286817090707124763374521689815660392204711369378'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '30'+    i: '2'+    p: '37'+  number: '1.443015560884481066351826555164625135922214022449795417443045175129254942635252357859397914392546869'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '30'+    i: '2'+    p: '41'+  number: '-0.02497015433903390903495713111987546182620425252523953602577877921616174694265947670987995868762372284'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '30'+    i: '2'+    p: '43'+  number: '1.388087296109694793889370203119129290849961774221996975749165216546917438779170008679090941706352729'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '30'+    i: '2'+    p: '47'+  number: '-1.081856186788493056795111716601051053214371597461455959312334390217467308006676713421055188659334552'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '30'+    i: '2'+    p: '53'+  number: '-0.1648361175177164738515902452120459825206132020054620168788671018082072951431599342448748672883866882'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '30'+    i: '2'+    p: '59'+  number: '-1.878583411636523081309623543412831444328377534446564070800417321615687554051162093154643834270445847'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '30'+    i: '2'+    p: '61'+  number: '0.5962158879033281489706597584719276861935568474084639202126755609488721446195576555907772411828517231'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#30,2}[$\chi_{30,2}$]+    in increasing order; $a_2\approx 26073.90502875288.+- params:+    k: '32'+    i: '1'+    p: '2'+  number: '-0.6764615684132934787532143262164313825021937676823302919189058362357233517726515121933871577980404866'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '1'+    p: '3'+  number: '-0.5428737402249537018396293897663308615215780316045316425519782699403914915135592848006807596325035306'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '1'+    p: '5'+  number: '0.9249213203610357808745509441184148141718497878161243754734210157654984034094033115232948902256192973'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '1'+    p: '7'+  number: '1.498361471358111133858378580055695571330990272328975388935328052761461240877646968779783483148945396'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '1'+    p: '11'+  number: '-0.3883059154524253149426616333471598202393563283757669411567315268487959293479778549863552398545064482'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '1'+    p: '13'+  number: '1.498723876894326604873427850818377677688796157687273454547327919054930378416984674816816091566874279'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '1'+    p: '17'+  number: '0.5336493996807846764483461955180579905674925475923412701787704795192815772066059853407916866894612391'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '1'+    p: '19'+  number: '0.02893255354989983887711807295010560755749045207852637974004409910159423687274571236732946998393738995'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '1'+    p: '23'+  number: '1.486775211855176598558151890631372076532005205246826786595049236110215746963176410161358426470020359'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '1'+    p: '29'+  number: '1.124767005264094331178262204060798086121886721127242178287877812384322925427084146818071524786313898'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '1'+    p: '31'+  number: '-0.4666543421009590112860376933916210581234838159512056953236241786008810501209978133376485771520591117'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '1'+    p: '37'+  number: '-1.021020334309156856453140327235654680170805133235643749100966766603952580672564339536666768942187101'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '1'+    p: '41'+  number: '-0.5116730487997672157708534503269726595380341358807029597867982817694280246683662422697341163417978562'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '1'+    p: '43'+  number: '0.4027189765447091716064920894699071273677475641327906723335075965220591125772572099847393819957588266'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '1'+    p: '47'+  number: '0.2582609438620404824015581732240233359235115291998377110802026186599908316957579806076379419167637082'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '1'+    p: '53'+  number: '0.2990222024403797247407486011039315400745132134606990177378666244654797774739872895417152865848781500'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '1'+    p: '59'+  number: '0.7704585291644269137447195596846020313439985044892682391355025377929793353472956804338462996359083950'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '1'+    p: '61'+  number: '-1.404250510743589330326710812985742091270277138870715068491831650796440563943906523384005210269526942'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx -31347.87172677239.+- params:+    k: '32'+    i: '2'+    p: '2'+  number: '1.538765858458900139979341667210992161610532514936707199330711902063812796342747295769764810870131509'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '32'+    i: '2'+    p: '3'+  number: '1.241507099545112546641862182804878509478472087965996398620935659594777136400894616377872765129414391'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '32'+    i: '2'+    p: '5'+  number: '-1.209085951523023681952267265936867989831731096794287974909936746987356990333655724549723933723003852'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '32'+    i: '2'+    p: '7'+  number: '0.9105110501094124393597329803239736509651121309196865569418155189712307786371039678820184994902964964'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '32'+    i: '2'+    p: '11'+  number: '-0.1734198538831323508780925451635810812099672216195695495029958436055852601709656578380556579127804825'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '32'+    i: '2'+    p: '13'+  number: '-1.093914382749593687534967776660441764510631573541198469832839131451217983795170520809935212581551570'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '32'+    i: '2'+    p: '17'+  number: '0.9258067850385174067823529802973293370356660080649111002830388415796238461260861691143651854901620789'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '32'+    i: '2'+    p: '19'+  number: '-0.2158753186493279813852488267311208234046606022688782063760421907360950893478116619150197663662648065'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '32'+    i: '2'+    p: '23'+  number: '-0.003011270068966485470399027742513325649715323356693350281250663652051177219311834591669544308709651918'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '32'+    i: '2'+    p: '29'+  number: '1.642120042902868623455698210436327982548848432698499281671609020579164386325887946368784294887621589'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '32'+    i: '2'+    p: '31'+  number: '1.429030478902833579991324476138654646699770212405989865114010397347936359922904665204427843123179807'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '32'+    i: '2'+    p: '37'+  number: '0.6099244882482985216528042522636848917949821621426486336603415318372927456579132310723832276423672743'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '32'+    i: '2'+    p: '41'+  number: '1.387890483130496892319257919794275802228473080362069410556408121731263663023268426616031140432239859'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '32'+    i: '2'+    p: '43'+  number: '-1.285775356334748076875679467625647208140808105595641497620645536546883965204466132783304399113473814'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '32'+    i: '2'+    p: '47'+  number: '0.8958924174021028294225540087725873860797612125847566158442764893645519078910718013338341544140555972'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '32'+    i: '2'+    p: '53'+  number: '0.06687842320133344651257846265602364425069360947208913709037416606706319278772133990737032520168076387'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '32'+    i: '2'+    p: '59'+  number: '-0.8412600408353439995394841304150651246727864161768919878960477490530935799815249148629517741963257592'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '32'+    i: '2'+    p: '61'+  number: '-1.157864712168695595111190445490945637684435886056072776851468892934990516973413275140605441273049175'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#32,2}[$\chi_{32,2}$]+    in increasing order; $a_2\approx 71307.87172677239.+- params:+    k: '34'+    i: '1'+    p: '2'+  number: '-1.848898620856169496761129324880648902757869677180751135863396704525469641722765053371303406830737626'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '1'+    p: '3'+  number: '0.7167736566471636612898075772038009354414923291012731542388664243495029192365061413259753646199306577'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '1'+    p: '5'+  number: '-0.5905454753667583730977408539082283578731459328228363939072113271226017367065370005737953860376367723'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '1'+    p: '7'+  number: '0.6256992195658007985704573750185906492568464618693653107329612738199276061620064232303055519925539998'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '1'+    p: '11'+  number: '-0.5373486626580254591073246051105931402463589517557059811087275624764777973452234166279878230522882235'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '1'+    p: '13'+  number: '-0.7935969264563423248452452810051332407136978298790346079785915152597130945276759161817930085751334412'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '1'+    p: '17'+  number: '-1.664180973207459127382287120984364251832261050623402965365603229227032353585279646634788161326831530'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '1'+    p: '19'+  number: '-0.1117434458255125205267807491555114940230532771539109387971625630474934880437813659247064917400315133'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '1'+    p: '23'+  number: '1.063435069076848668665373676437737734108907837819101833607464919410355358447182596647556389798191041'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '1'+    p: '29'+  number: '-1.120336966534024686434620110455787780291672395289831191465904704858498392424183534801203093847247496'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '1'+    p: '31'+  number: '0.1280855991110528763833102522520557705688532571405208047923944813110471852718326864417412893275088596'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '1'+    p: '37'+  number: '-0.4017621735513896811097982242375293917522205426593931459582650687956919679194342226972843941186418641'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '1'+    p: '41'+  number: '-0.5361492848180820407335988950886688605064288342513390985796499125240235814341114243137367089506447387'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '1'+    p: '43'+  number: '1.972463363721027499835548198307171929666127739216933863256692573773309748811643114999144671417364223'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '1'+    p: '47'+  number: '0.8378024547653931984441946570209689583597427098854492102486086945737899075328100627823809622429513448'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '1'+    p: '53'+  number: '0.3251816376456476596192111948935771440404974507387097346290438438945760730852319307042747273437614880'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '1'+    p: '59'+  number: '-0.7141737018905793295598450247902660911434365293077327050769996738234570733775491144404740346720914997'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '1'+    p: '61'+  number: '-0.03459204531796642306764603984564602327965051763961455660958570242549875853764397656009314355342608933'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx -171359.4371321172.+- params:+    k: '34'+    i: '2'+    p: '2'+  number: '0.5360209179939395350745030129159572660974259989285917002544307124088289558457723738721338269281846281'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '34'+    i: '2'+    p: '3'+  number: '-0.2081854897194595456826006854458766446862828743334394155575792250761075018153614247120385085522141014'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '34'+    i: '2'+    p: '5'+  number: '0.05987963803690394074020787270174294867776717640145357390892354033559372663184081584802685255732699732'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '34'+    i: '2'+    p: '7'+  number: '-1.389444037833846718506910792013802753784446983927006168917542617920152573990580581317312916278639337'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '34'+    i: '2'+    p: '11'+  number: '1.415784100576830144743514810396745290177282962544881174637815071784883870760920964036154232556364598'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '34'+    i: '2'+    p: '13'+  number: '-0.4491582847397892392606464551772850161125662598063345173879075192776854918097488031506435697609997731'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '34'+    i: '2'+    p: '17'+  number: '1.268631559028685657490111931086900667987242468050912434537081674118523997941595250766151669667155676'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '34'+    i: '2'+    p: '19'+  number: '-0.9705046585448785364165316968422831320293438114012416473551728600379730492947097083597190090175566975'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '34'+    i: '2'+    p: '23'+  number: '-0.1738398840432379868784163619311588247867102106204505712495288274324392280234979917575234243691739683'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '34'+    i: '2'+    p: '29'+  number: '-0.1222401928681393180959248477791801158867382428027119557672584528454977123281761773779611643498676639'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '34'+    i: '2'+    p: '31'+  number: '-1.668361048548165189898395885417119035448731749321909774966533517443344010232308210258816981800658942'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '34'+    i: '2'+    p: '37'+  number: '-0.9947482972774771716683118117175019880714242053389944204732221849501546816142306647085209447430128334'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '34'+    i: '2'+    p: '41'+  number: '1.216031358125483637022431665950015710343258141343754756668457127743537339650078396580368049334043845'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '34'+    i: '2'+    p: '43'+  number: '-0.2225252525487807121315388773270310913010448143938634218727653773672580486116691577410349547319763334'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '34'+    i: '2'+    p: '47'+  number: '0.5568618164215350163822452543070427216446530474167392557649607722847903477131417823313033320304432490'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '34'+    i: '2'+    p: '53'+  number: '-1.277262930009159234754718766872174182642264322972224949294312745440972321508253477589694558801665994'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '34'+    i: '2'+    p: '59'+  number: '-1.132371688569852206988062990782117539177196705236147472326069956379042177975881271169982163134441026'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '34'+    i: '2'+    p: '61'+  number: '0.01457429209736033573682785099640916912073930943243693686202683777963831734770485872566822126214654998'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#34,2}[$\chi_{34,2}$]+    in increasing order; $a_2\approx 49679.43713211717.+- params:+    k: '36'+    i: '1'+    p: '2'+  number: '-0.8907303788026748798365876000415771459612265770283242731433568535591302247470510906439556827878022928'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '1'+    p: '3'+  number: '-1.546483971391031178480522651848652075701574086891417606065984528488308890345548125298240382215854245'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '1'+    p: '5'+  number: '-1.201731497612590880730596101885344209219998854068594208067727450612953025831483841765470277728594119'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '1'+    p: '7'+  number: '-0.2033526154694013978442626962747203628138430027148003699818564905199009939421518598977454204652387333'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '1'+    p: '11'+  number: '-1.019113952381924827671296710878531495652760232068292752473762657616627481601209119807828132169424962'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '1'+    p: '13'+  number: '-1.587027442320132380914828823174323401359078663290293608639006117277135983792195755518532120595025763'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '1'+    p: '17'+  number: '0.3871373113299478681537133246507136687746546727567962908436523578836747564845797038286289545313608204'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '1'+    p: '19'+  number: '0.1650957387617458703854439461129865646759282447855869267754406230441716908291630202836346173852425569'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '1'+    p: '23'+  number: '-0.5157504696391517347806425872885648307351330341406135566833795935795919103598800767968529730862797818'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '1'+    p: '29'+  number: '0.8229789650283930316094066920082935391868740138580332175245419542517041483203272957770771514410254353'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '1'+    p: '31'+  number: '0.2716322833195114733133465159118984134822051262539217396720404775221345366408462152523034327543103303'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '1'+    p: '37'+  number: '-1.453607329526677387439171479914665630309896901197767802690330815284868587122085659284004842568264739'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '1'+    p: '41'+  number: '0.5172833716807605389636421668697949384743502545004143275757922708367892408193449352672739996915726940'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '1'+    p: '43'+  number: '0.02568437271405625104525756548056350881046714112543195109309212417475854680651634329679307226497315032'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '1'+    p: '47'+  number: '1.072049666300293933468071782126733667571260436693514898310031901007914268335070813410521978495545716'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '1'+    p: '53'+  number: '-0.6665427479764315999145850862796821694039320586007704770138531164325954883763184777570906508565435831'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '1'+    p: '59'+  number: '0.4011655824250842657870093399625640679385708721619626709809534312739828764748108641967100612252791594'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '1'+    p: '61'+  number: '0.04368553145789431559948919188001845797597186191947520603222099044119990926387888441049964964707332878'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -165109.1678324939.+- params:+    k: '36'+    i: '2'+    p: '2'+  number: '-0.1446237485637502892162510108806274840944682287737576161708806880815505807834391609099062742343222392'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '2'+    p: '3'+  number: '1.769195139733115872292762713822899569723685188919137449419029673230062853846222697153966612758062561'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '2'+    p: '5'+  number: '0.4814821027860211222559557171669681498591327770158271339976039269710636551335071096776060335687943514'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '2'+    p: '7'+  number: '0.9861240742127249114786108901669930613676202817626902065666470603432812415321877720571509773103288884'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '2'+    p: '11'+  number: '0.7356070797534798866386105439645897099603115783169783824649616921407253359147713919321213264145601214'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '2'+    p: '13'+  number: '-0.02712701963205320414839006734107141398619412552542775500149738479334360081264465277216721977923352592'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '2'+    p: '17'+  number: '-1.149952601741555918867045311160816835547153959821101285644073917933517593494955144779113526075515474'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '2'+    p: '19'+  number: '-0.01476683220568040134981803220199973687949330814392328471452801842828794393261278495740073570330250762'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '2'+    p: '23'+  number: '-1.268584457920206606335995525435627259189759946951738737488993733060714114886539555534484828222520714'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '2'+    p: '29'+  number: '-0.3548121664911002300778615207188077425537166145293754475736413493559282752518631480546021235991536163'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '2'+    p: '31'+  number: '-0.2654829123043728875066426218745182385563163549442119420965617560591835237799235321257247508179001895'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '2'+    p: '37'+  number: '0.7191020858470917571011593202451874856826417882203227469311513432813100046375582573239258203393044857'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '2'+    p: '41'+  number: '1.260292880013555338768460212553163935743989359240574835911911223550419668579373913453286366954413923'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '2'+    p: '43'+  number: '-1.187597026617968249566976758587835700155403355995869684921661341045702240342132704207481472094540589'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '2'+    p: '47'+  number: '-0.9448162779814578978610415169176826506475290353704750254777066284058682849735994481699224135607134627'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '2'+    p: '53'+  number: '1.211154788734123960634161370553905970101559904068039343225846634445843241782957833797636920490084599'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '2'+    p: '59'+  number: '-0.5142036792930590861101326808237648486979847994890633038517384689343012027961553658326369387178385720'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '2'+    p: '61'+  number: '-0.01860378286045443505745032224082394398660015928313023276859642470189858291795954045016911012171623422'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx -26808.00761087159.+- params:+    k: '36'+    i: '3'+    p: '2'+  number: '1.788769842648014532667678700598983785255608194731994685745063291949037033451419285282231561110187244'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '36'+    i: '3'+    p: '3'+  number: '-0.6915799222489921247532436533431633189459078384914483839584084252536712006493779069529482758357187629'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '36'+    i: '3'+    p: '5'+  number: '1.243496859575032326545528728660257860912185827749201544409435702800956253548051654347421750993421468'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '36'+    i: '3'+    p: '7'+  number: '0.6444375477908452422811361264073348655999573213723351428234211233036657313906382797618766935075471604'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '36'+    i: '3'+    p: '11'+  number: '-0.4072355067389493075719847578578774074675778412229641066905475505414508490100076607409505001038799492'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '36'+    i: '3'+    p: '13'+  number: '-0.3781690567800454635268938950843978648841067485498497393682655087093419848847996123290837569762799830'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '36'+    i: '3'+    p: '17'+  number: '-0.3901805196936937894905450008034727919455653672735420229092512746266665384741242607849731217396208075'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '36'+    i: '3'+    p: '19'+  number: '-1.502588801321946446596393202333814320663794951824135816380445902100604993811452184640094464408484978'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '36'+    i: '3'+    p: '23'+  number: '1.023272949247183243950058584051747932049395446052341076675591255179240359608198258367708043802003393'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '36'+    i: '3'+    p: '29'+  number: '-1.452288534039482295821874975689817033674205270736791152460171242068172484476847043988364586004207195'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '36'+    i: '3'+    p: '31'+  number: '0.8200434402204684127760553237848468364112031387024827333366384516979888773880403102344902981586324505'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '36'+    i: '3'+    p: '37'+  number: '1.622107901920786021516347869628016119984896672080990191679475665956613720898335053744640343851769131'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '36'+    i: '3'+    p: '41'+  number: '-0.3722570889023515092984213599931184885219697459577601259535277257043521715592743413656524668824766186'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '36'+    i: '3'+    p: '43'+  number: '-0.07160286238892634263784798227643279109706310458605008369731389253070904514791904136324247665161353036'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '36'+    i: '3'+    p: '47'+  number: '0.7723649739589430456096278270680697195320688278111432898374697512421491415422858568627075816524585728'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '36'+    i: '3'+    p: '53'+  number: '-1.661510535497391838180734364262840429247189555957971650417147902343665775347512931123869556042276577'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '36'+    i: '3'+    p: '59'+  number: '0.5603637050951589332267015354651276629330657871258724314913695470650283168949862950047240030399566822'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '36'+    i: '3'+    p: '61'+  number: '1.319169470388452947068869602193488929981305910990916320276511777126874450456921112826567228121921459'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#36,2}[$\chi_{36,2}$]+    in increasing order; $a_2\approx 331573.1754433655.+- params:+    k: '38'+    i: '1'+    p: '2'+  number: '-1.295861850726684650267541184015646258884143375923880751986007994780191361699156952930217217896797514'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '1'+    p: '3'+  number: '0.05154291865227699716712941811803034858018440130861615487530340846133060020305117012491081186057012951'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '1'+    p: '5'+  number: '1.620968552849841124765559726027324842524851115138421014347910153284223534275633763412300818580393100'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '1'+    p: '7'+  number: '-1.258528802413531800236946354652244590480279181751604019529688159611007232787478448913758325008213106'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '1'+    p: '11'+  number: '-0.05601075280510592369834802356312816670638958758536182103847605804235735245939528028563605563666018078'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '1'+    p: '13'+  number: '-0.03039570330656262739846148091764848677846810110596753176613087736227899689452039676509408244263919132'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '1'+    p: '17'+  number: '-0.9340468005188976787180195368005322594742634932304287782845959114713820744467410717920321800192012844'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '1'+    p: '19'+  number: '-0.6804552546974617450219774603475763820349397585345065283137878884798679742295461386413593594583568452'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '1'+    p: '23'+  number: '-1.681356917355910803949715363305719858555116457309631023133253047263552861204289881096051228210359142'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '1'+    p: '29'+  number: '0.2199134742737444311600131952677248338266457698677768274169950440523555026819381815538923708269132866'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '1'+    p: '31'+  number: '-0.6028586414428873079583583167173223678631309586208953410494567408838410622415631631413030302423737327'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '1'+    p: '37'+  number: '0.6052200115137969480306554889650859410542875049981590361392315144643787539117708165154179643684553698'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '1'+    p: '41'+  number: '-1.243521366907364540594822996320850679091372758640842075081150165523555663998502097679903008759825972'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '1'+    p: '43'+  number: '0.2137125646286646378426163749634182584079720464208497494941048317231582957038789734829014163380232180'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '1'+    p: '47'+  number: '0.07791145044885296633640609193355207473088944545195662885094154662346894100811768325000787601106704890'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '1'+    p: '53'+  number: '1.565911437132625951210515590592903692561363843680091492116827150753930988537390577814480465570351725'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '1'+    p: '59'+  number: '0.1139789655517196438066833364960172277859322444949171257818497717213138049992642721799970635676767931'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '1'+    p: '61'+  number: '-0.9927583501868274116451462997457226163508955323644573054351001694471441110268745273561972087282410052'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx -480411.7539742225.+- params:+    k: '38'+    i: '2'+    p: '2'+  number: '0.7714876202935454643867880712486836229398833269178407407220718736685153481092338412959335099475529733'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '38'+    i: '2'+    p: '3'+  number: '-0.03069234728164479004719750288183052140752329008194364615022492509085525808902255040227386690075295292'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '38'+    i: '2'+    p: '5'+  number: '-0.9727112619967476700805284633828349428154363209158528650161955380043277246016072943513996909440964054'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '38'+    i: '2'+    p: '7'+  number: '0.4581244682482572313972334855045602892170901200098865451946942298772214666141786521784184852020019712'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '38'+    i: '2'+    p: '11'+  number: '-1.393761751505440403151084041612544887003520475894057969769443077610158574068299196671427000539057174'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '38'+    i: '2'+    p: '13'+  number: '1.338975718203915444037649949883429547562980750146818821041822583267712503281821462758959692883338527'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '38'+    i: '2'+    p: '17'+  number: '-0.6084428119526850102574024746222353653133096045134001001894109519033507667993202105106532910213358346'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '38'+    i: '2'+    p: '19'+  number: '1.502866410559374323226757546680966159374314654965625302585442428112441617595542233928493415653246637'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '38'+    i: '2'+    p: '23'+  number: '-0.005267550833912544050034828885123348641117189281035023778916493562262061091867536872567737041311728042'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '38'+    i: '2'+    p: '29'+  number: '-1.341082583495213676343133717189157833462697021619324590098060911644644410782276380361331875416747254'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '38'+    i: '2'+    p: '31'+  number: '0.6700245410984659816965582182936034611445112587209492319628132120955783075378918905687825545963805074'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '38'+    i: '2'+    p: '37'+  number: '-1.267343474482780834023611464633013617157220212448131065195104807412652796203715402194555705242093301'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '38'+    i: '2'+    p: '41'+  number: '-0.5931681416898510282091841497124529431117024393486979700635872524865955949318460476977402136001154683'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '38'+    i: '2'+    p: '43'+  number: '-1.765411359304014846005709983635114386519660637167710852569637941791746777018916235983868266397032559'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '38'+    i: '2'+    p: '47'+  number: '0.4173152062912311390115707317685417133387995840041612129402398130465333914263362875145875093864168313'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '38'+    i: '2'+    p: '53'+  number: '0.4500047429223205315112491014784244181338451771088151963087571451570611702927563234249110831349635210'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '38'+    i: '2'+    p: '59'+  number: '-0.5267851868509207762849727199124828869112532762301157129115515705044618704350991965959941460851347862'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '38'+    i: '2'+    p: '61'+  number: '1.088068880807194134485625301863928490508751934651059555207611056985032495090185498759968042871884013'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#38,2}[$\chi_{38,2}$]+    in increasing order; $a_2\approx 286011.7539742225.+- params:+    k: '40'+    i: '1'+    p: '2'+  number: '-1.077815305491872856846310363452715742490418266302905256503173946502571264868800574935493252354512574'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '1'+    p: '3'+  number: '0.6314465362261163034619764575476713477329431759079600618597937304344845880506102284578178253776806251'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '1'+    p: '5'+  number: '-1.445377543611898645607301396414588049772336605081308878680879817762433437219498866550466434970397519'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '1'+    p: '7'+  number: '0.4767438387188188741690329951752283020043453796180242747737949216053143310638640449021376293993841468'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '1'+    p: '11'+  number: '1.654325758157396572621658551626470935021008660095007140234192270840472336941817215140724893528494171'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '1'+    p: '13'+  number: '0.5719435283259639217532180202980158432037300154985173877767189348807440402154650750257883133473376344'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '1'+    p: '17'+  number: '1.465983605409172063626140635244425591484415806999385591808678447128578415909885646094087527107021485'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '1'+    p: '19'+  number: '-0.1851741859930711050766029069368351127954042358653117809386460502505470772720376926850376178718176887'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '1'+    p: '23'+  number: '0.7673347793621872081631694095102125076778745349153894423272162317841750060506804255680684336927967009'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '1'+    p: '29'+  number: '-0.2672076130058885583750458387379811578257885259391985038740961315869665334132905766232849221239362220'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '1'+    p: '31'+  number: '-0.3775469525226551883057988264120617790902323443623517583843327080187752268130906388159044796149382057'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '1'+    p: '37'+  number: '1.475078946370887437167783627587280014911095103705585583813544332548183932051037436657906525581332419'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '1'+    p: '41'+  number: '0.3210509752568237361815903573240565931432716755243690442350149406358264146438031090672446047504481196'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '1'+    p: '43'+  number: '-0.2668028290766666606176368522209435467511133534522378626770687691134163409535051455997049175324894105'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '1'+    p: '47'+  number: '1.547503705467737339378117700007600715784691593747186910215441982444761001451739369813276917168844344'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '1'+    p: '53'+  number: '1.113724073278660367591395165665365113501135736442425047597241244689134790202809510069711823529896510'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '1'+    p: '59'+  number: '-0.5546956720232208936694052732919723557571123487604872821236360235806697755934751783523148788671347754'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '1'+    p: '61'+  number: '0.8595039187374796058546016102971210194576397566562844988611413880961621614011481965532847593101563872'+  comment: $a_2$ is root 1 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx -799151.7631007462.+- params:+    k: '40'+    i: '2'+    p: '2'+  number: '0.3256943162527601758535614071303904146835971940406618976334142580068711244657560358575366773739937072'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '2'+    p: '3'+  number: '-1.564566767895857530643793181440808121843786086937816276683235681206619783307637042266595353957013697'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '2'+    p: '5'+  number: '1.257271694539006598437745945744437692376863061865342957724736306849450976881187782632631821495516604'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '2'+    p: '7'+  number: '0.6037524410520824523986697778985994009311482317787462438590077652751472225771065883942956689656084385'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '2'+    p: '11'+  number: '1.266449866641736094409145736785007839778080338376052375087901897129084303816294922736068819156534792'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '2'+    p: '13'+  number: '-0.5563193792239405041535105287965594780073287265839306367564664144579015586963864067078891099415761920'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '2'+    p: '17'+  number: '-0.1003518910565435450733995456426227271016964189832889521530607260015389072399671381797455272340381907'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '2'+    p: '19'+  number: '1.444249178418742916656085784711068220980389649146851860171927040219470454118089686227539836881541500'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '2'+    p: '23'+  number: '-0.5205796985733647729078060254112437765108403701319833350302726784787716665353023988936792348703507301'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '2'+    p: '29'+  number: '0.4009324319333008972853699524968185402341063222661339051715600746468418824508511199518516982658346500'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '2'+    p: '31'+  number: '1.566633603740819449761804610706763317989633487223577297492320710628039339496840542739607476918959513'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '2'+    p: '37'+  number: '0.8495930046624595698839606355635223771846275866271040258400928523378491793252824511854328799711311362'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '2'+    p: '41'+  number: '-0.8067934670562684991121843644677779960531119888488639675667308779686471959274635028660711361358891740'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '2'+    p: '43'+  number: '0.7533572792219916729835289452484189401187875954600937765374269423853641980749853509970348939651084525'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '2'+    p: '47'+  number: '0.4644418762575507592527731356343631574395934513712382208128030352783534288666909835144410011093204696'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '2'+    p: '53'+  number: '-0.07674904871521866966072296594075993855808451651895403073821767866787018496037393617409453668441573770'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '2'+    p: '59'+  number: '0.2978699023148304843967383595793198785209463749290879216991013697076788288311026690170478279110439600'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '2'+    p: '61'+  number: '-1.329767767417701658519195848235228453182197223380635873429125834425706138657015605498816205499351615'+  comment: $a_2$ is root 2 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 241487.7444577613.+- params:+    k: '40'+    i: '3'+    p: '2'+  number: '1.492362611200560831727745433845020915548134841442436508104016179465016112920819331668353742702202410'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '40'+    i: '3'+    p: '3'+  number: '1.484232995397548902139099294745512516837190040190358774728001335212451774266599862841416177482387658'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '40'+    i: '3'+    p: '5'+  number: '0.5967125323287798004535337551991934607188511452627711653948448906554946041885218369463728314438613969'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '40'+    i: '3'+    p: '7'+  number: '-1.677217371835103800997432784007438098625277480651147763198669619158070234503950207235922991630598463'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '40'+    i: '3'+    p: '11'+  number: '0.3715197238505965083802053339504201713017356940575084094204438227598160711032071145834749656496378952'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '40'+    i: '3'+    p: '13'+  number: '0.5831357819015479299482910705128364397280136524400406426188508259461130514410161717396925511047798695'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '40'+    i: '3'+    p: '17'+  number: '-0.4627130616767625490111344907201383627748333784603324189704922030810731117623879322882927970232737931'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '40'+    i: '3'+    p: '19'+  number: '-0.1890495227333346971811456950059616062958298497867928108317407677970340345938871171922447991919154365'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '40'+    i: '3'+    p: '23'+  number: '0.6064358361314574861171896516525323917221311593368847663810857131005872870595368506569485028350478811'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '40'+    i: '3'+    p: '29'+  number: '-0.2095661517774158387421496142718820383228507701455980890800155893207199066465263902885069675939444451'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '40'+    i: '3'+    p: '31'+  number: '1.347917538082317215231517361967709891013431332512015977747366217107026547841381468549290999661130711'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '40'+    i: '3'+    p: '37'+  number: '-0.3256064663859441596135444202464528156463965168178852770544582069390599408711142084059255295220727129'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '40'+    i: '3'+    p: '41'+  number: '0.5707509633904393634321151068835835514240809048458259895600520077593806161600379282133538687088630336'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '40'+    i: '3'+    p: '43'+  number: '1.800072632122094310867812279822086542864239919906189080705172792986007332851415223382578337273324327'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '40'+    i: '3'+    p: '47'+  number: '-1.509707556253413678551569799338768964523055797314294206545323376322196040777355696479495257595719925'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '40'+    i: '3'+    p: '53'+  number: '0.3600062065512081620396404980655658060053607593807932986498106088078982972119551213243033094077322337'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '40'+    i: '3'+    p: '59'+  number: '-1.392151019508250843141690511800469726035553369376879953405980213002355478223965108023460841528911981'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.+- params:+    k: '40'+    i: '3'+    p: '61'+  number: '1.077724991238206957380224342653173652902661676997053673354073518456173956294496792101654751068382490'+  comment: $a_2$ is root 3 of HREF{Hecke_polynomials_of_level_one_cusp_forms#40,2}[$\chi_{40,2}$]+    in increasing order; $a_2\approx 1106520.018642985.