LMFDB - Embedded newform 1.122.a.a.1.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [1,122,Mod(1,1)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(1, base_ring=CyclotomicField(1))

chi = DirichletCharacter(H, H._module([]))

N = Newforms(chi, 122, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("1.1");

S:= CuspForms(chi, 122);

N := Newforms(S);

Level:	$ N $	$=$	$ 1 $
Weight:	$ k $	$=$	$ 122 $
Character orbit:	$[\chi]$	$=$	1.a (trivial)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	yes
Analytic conductor:	$92.7173263878$
Analytic rank:	$1$
Dimension:	$9$
Coefficient field:	$\mathbb{Q}[x]/(x^{9} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{9} - 2 x^{8} + \cdots + 32\!\cdots\!74 $ x^9 - 2x^8 - 6896267302374195854288979542110036x^7 - 18182056455091876334127202245297944469939481193728x^6 + 14212629602031409229637635771022937711993825413350167099237510479606x^5 + 61258610310684835233108833192024704261087721493254347634992670795376976962606134364x^4 - 9842499772141836551134619784196809812883472316889789802022116143289674396393873883442313493192036468x^3 - 28320767833279507773472564445008628892273605282905175305275773570942014694022505516447508594331297760748650974508144x^2 + 1837990504265564297591553937106510644700471984398148609639572793490786272449115020648515508733566716122900824713245834679387771722833x + 328617579029133279802926386891335178982925368767393882742389284437302316313461583243308637651182442753765604934835620884256792770827221760481511574
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	multiple of $ 2^{145}\cdot 3^{53}\cdot 5^{20}\cdot 7^{8}\cdot 11^{6}\cdot 13^{2}\cdot 17^{2} $
Twist minimal:	yes
Fricke sign:	$1$
Sato-Tate group:	$\mathrm{SU}(2)$

Embedding invariants

Embedding label			1.5
Root			$-1.78332e14$ of defining polynomial
Character	$\chi$	$=$	1.1

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q-2.69116e17 q^{2} +3.14043e28 q^{3} -2.58603e36 q^{4} -3.76295e42 q^{5} -8.45141e45 q^{6} +1.39208e51 q^{7} +1.41138e54 q^{8} -4.40480e57 q^{9} +O(q^{10})$	\(q-2.69116e17 q^{2} +3.14043e28 q^{3} -2.58603e36 q^{4} -3.76295e42 q^{5} -8.45141e45 q^{6} +1.39208e51 q^{7} +1.41138e54 q^{8} -4.40480e57 q^{9} +1.01267e60 q^{10} +6.35666e62 q^{11} -8.12126e64 q^{12} -2.58655e67 q^{13} -3.74632e68 q^{14} -1.18173e71 q^{15} +6.49503e72 q^{16} +1.31319e74 q^{17} +1.18540e75 q^{18} +3.91725e77 q^{19} +9.73110e78 q^{20} +4.37174e79 q^{21} -1.71068e80 q^{22} -1.47213e82 q^{23} +4.43233e82 q^{24} +1.03982e85 q^{25} +6.96083e84 q^{26} -3.07631e86 q^{27} -3.59997e87 q^{28} +5.75001e87 q^{29} +3.18022e88 q^{30} -5.74515e89 q^{31} -5.50000e90 q^{32} +1.99626e91 q^{33} -3.53401e91 q^{34} -5.23834e93 q^{35} +1.13910e94 q^{36} +1.13232e95 q^{37} -1.05420e95 q^{38} -8.12289e95 q^{39} -5.31093e96 q^{40} +4.70540e97 q^{41} -1.17651e97 q^{42} -5.86227e98 q^{43} -1.64385e99 q^{44} +1.65750e100 q^{45} +3.96173e99 q^{46} -6.97961e100 q^{47} +2.03972e101 q^{48} +1.31293e101 q^{49} -2.79832e102 q^{50} +4.12399e102 q^{51} +6.68891e103 q^{52} -4.13910e103 q^{53} +8.27886e103 q^{54} -2.39198e105 q^{55} +1.96475e105 q^{56} +1.23019e106 q^{57} -1.54742e105 q^{58} -2.11844e107 q^{59} +3.05599e107 q^{60} +7.77100e107 q^{61} +1.54611e107 q^{62} -6.13185e108 q^{63} -1.57866e109 q^{64} +9.73306e109 q^{65} -5.37227e108 q^{66} -2.02466e110 q^{67} -3.39596e110 q^{68} -4.62312e110 q^{69} +1.40972e111 q^{70} +5.80214e111 q^{71} -6.21683e111 q^{72} -5.23422e111 q^{73} -3.04726e112 q^{74} +3.26548e113 q^{75} -1.01301e114 q^{76} +8.84900e113 q^{77} +2.18600e113 q^{78} +5.52823e114 q^{79} -2.44404e115 q^{80} +1.40855e115 q^{81} -1.26630e115 q^{82} +1.23987e116 q^{83} -1.13055e116 q^{84} -4.94147e116 q^{85} +1.57763e116 q^{86} +1.80575e116 q^{87} +8.97163e116 q^{88} -1.22034e118 q^{89} -4.46061e117 q^{90} -3.60070e118 q^{91} +3.80697e118 q^{92} -1.80422e118 q^{93} +1.87832e118 q^{94} -1.47404e120 q^{95} -1.72724e119 q^{96} -6.18147e119 q^{97} -3.53332e118 q^{98} -2.79998e120 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 9 q - 23\!\cdots\!28 q^{2}+ \cdots + 79\!\cdots\!17 q^{9}+O(q^{10}) $ 9 * q - 2345005562254519728 * q^2 - 45298662406895255983997747004 * q^3 + 8462901481545657250924227818768095488 * q^4 - 1892628936004587162449482404208025942059050 * q^5 - 169155345437237254853213475765636376857034060992 * q^6 + 2195742607988216453868262401462060909846066161833992 * q^7 - 6498505205013969366907252193209867920059782603760087040 * q^8 + 7945503363883566160952357352391639075761121301070127960917 * q^9	$ 9 q - 23\!\cdots\!28 q^{2}+ \cdots - 44\!\cdots\!96 q^{99}+O(q^{100}) $ 9 * q - 2345005562254519728 * q^2 - 45298662406895255983997747004 * q^3 + 8462901481545657250924227818768095488 * q^4 - 1892628936004587162449482404208025942059050 * q^5 - 169155345437237254853213475765636376857034060992 * q^6 + 2195742607988216453868262401462060909846066161833992 * q^7 - 6498505205013969366907252193209867920059782603760087040 * q^8 + 7945503363883566160952357352391639075761121301070127960917 * q^9 - 1722648625287605771733277740799503204814238573365164973293600 * q^10 - 946247437041242628794010189459909585820203760454440287613552692 * q^11 + 205846961050281878415699597946796712976603670706873231298938012672 * q^12 + 20596127771705642483605985955370331334854065669132980339746788779486 * q^13 - 6541972694294346334011779110963479954883365352702523229035305330483584 * q^14 + 94761650294240619608372286408346994746207880434327141095820600145938200 * q^15 + 15125444512952621416063439206177933863772762787209602627890080570611400704 * q^16 + 291951493650412549850834598805724750617640895870041885121831690800331035682 * q^17 - 2554000175718076948380008722939707666960273565314048023897922364658130426864 * q^18 + 30244684445956612332670117612595525326891015746649482369862884848315284461780 * q^19 + 4562951142663369182841621952582280345228980283169468426672463108421372089382400 * q^20 + 35146001071237823021693437259813836720201207139254364736561723878685716530560288 * q^21 - 1908843328157955617823816866863990801015534541375661383005747627202736697921398336 * q^22 - 66547277273309692585260941575189421012052896396341670760157778423156238686357058024 * q^23 - 752736756299124610400627977416074789098074869027579302337966622137134625951047925760 * q^24 - 6063954929776831553687695824368630787209822932539681432479202799269060736255468175625 * q^25 - 68842531925347949534946832128658250301897561117051749502543801676148842557574912147872 * q^26 - 599094982712902977137778651999579486037062432725587105690436473582035154107389795716440 * q^27 + 14581457392452701650088858542793969027985828891624009507886840217572255356341773965625344 * q^28 + 9039340472411915035494616975186209221844392206687458522714064361334880069082093346905070 * q^29 + 224260392412850366562482895689598093094206490242486949280006808962977358350861560270998400 * q^30 - 1034214344782654758430975917538809236085530199413694042134266190861671432181122576926086112 * q^31 - 32504525000929540761398714812123921617256100597234986820033520241386493923631009832383807488 * q^32 + 189949463814086324300823839088808170132383689196162349649439549175970470599919775108948927152 * q^33 + 939230388337351560267419962761669652735221862277825209065568487608538630630957599920217170336 * q^34 + 1343144021786280211948320998755385153610555228046229864187689603416027546078320739943060612400 * q^35 - 21747907752251375975427518389059436655823261956750397535228718126776457105689705407608776563456 * q^36 - 88515341604947210488499310221844243003334043790663530401335727647981800120006279439706998268938 * q^37 + 126431143256035943119117270678428356969446546517968603954366283120911078870917992997220500555840 * q^38 + 217837571218652472832776380975246155068206021757529611026730729062256423563336349872452629634104 * q^39 + 11699272454320878743488987607870545498317393987884112075950101149279048493373249852479799479296000 * q^40 - 36266094262194860707738000735265088509116494488735889525314316314221341311667592777599187406913222 * q^41 - 24787352510041822155108090768801766655788422577097156255869676682213614031202393800364112862967296 * q^42 - 232370696794750496427815530982465444104722554898177200564202440384179721532324359363059913691265044 * q^43 + 7755327422511594524608603055387018294701513657236683851986386901343418513803274064133364624004320256 * q^44 + 3247131420778261129864754583862668667744851710389803065112927478198766013287651133195234793708696350 * q^45 - 32066987947547067490416916557196164509339083485720964163476500441257367761070295505033101035894375552 * q^46 - 132970274906173452814801214841116212222140439777467383504750807710754558312919347426848207706456695248 * q^47 + 1792993240520940040285669530334719652675802655317197830920369780797223163120464508596735702234386661376 * q^48 + 3971615803493637002463922107037659765667323348806045910695714957649057905572825978452768033947465237313 * q^49 + 7697223557528977921454596784007095645216064886088735712319363716221302227247960859603436865144030830000 * q^50 - 12851187227364644420645646585565612980157473692407810028414511867222315540665892049707079694243262493752 * q^51 + 41491246868006007350968584983945986180424656334954442495103497331692372835472248671859508511281974820352 * q^52 + 10921805138133777254090784536986505203689729704788186882887817145907729071674310284399320645165776125446 * q^53 + 1339620561670595781535503143383501960027220441835890399944886982813214108542142442500405331111067486871680 * q^54 - 1312854241531753321574015681587452449577731960880104498235108054018717321131599152359037095554839302748600 * q^55 - 14013489107783484379024464711764338924776495535033134010566539603721944518516633929838564532681379280158720 * q^56 - 31019370720452892632999266840260901115398140535819179494909299925851052488218537305068762474072132809464880 * q^57 + 103566512036259767730142842802003772713045020405103287191675134464175461494809359502286741327442998854097760 * q^58 - 212654227372156556243821221093344570156200984495183110384877226881440240904587127248726963633402442388397060 * q^59 - 422775085570641982781661820780199899688061805673956240019260238835680896536027096304091002230119430523545600 * q^60 + 1192163308009290988314718399559245385155131325092676542388200473202899841355909578157895873548972217626937358 * q^61 + 1941577256261942079284748865266177577315768005250991995768914948259042107075822164327427075406958896697915904 * q^62 + 451398588142208697776529182978564850520004037586377967283679997710918662905240621028803130635870486918043496 * q^63 + 58844915592066748224918413663360071934978670807229624180238002804297923325840628846335879209980431060401389568 * q^64 - 41307677239725606429137681882540847206257959638235776751518537901187469657040797622415542482923664688418764300 * q^65 - 222086041679950312339781078110357023370750120852496118683208049646663973764702391499379128192551147975013941504 * q^66 - 136956255883591433626896738276452320541908670428347212980145870863327851773988143589420054081089733226508975868 * q^67 - 141094811799092295974464545753546540483126567546619661037683966526498908594653379053568196980211372687791832576 * q^68 + 1325703171238765045361423824776857588261240408135555321965899246235283904667578177535332268855352594559670964064 * q^69 + 251934589370384384494289262861906043864096277276788575857738394556055301564200175196895771626792095349002028800 * q^70 - 21585422985838182545762327030440661631324036114582384867758341692032917773329287240302446531581657134820891213752 * q^71 - 5181834258416339630015764026055527646506354416168007949107924953264135981412995982436721696529253639785101291520 * q^72 + 91235460780032725960652165272631372912505283323159668796891496309162099636399114489032757775807008811684035374426 * q^73 + 310562981122696891225427716699672479798427405954878722327169646078571868354993002411909262537623251852286369642976 * q^74 + 43065854506087315183339457241248482679331791698024061594158993211332750535581795467446263657604087829943816477500 * q^75 - 1628928259080846394930799553567522291541981414122456953774556713740025206052658836539555750192733076653498088483840 * q^76 + 593398979324677723779464865172133117018002924612325496238799373091215617849415550444705675974821710181802828350304 * q^77 - 6873235601534959334329744558974767766222222958184019979663697300957230011165665645661869140437348638585389730736768 * q^78 + 12451904914912678516471799458709519750612136226261564829575149335945412565470277464754582893898189772426218896816720 * q^79 - 20416950898306426146345946546741629794844904073553249082791509645594723097676639519064500446972597103490830240972800 * q^80 - 40856231575215745746855879250733371261216334279125203008573307569275978049909264916389709598337529820618984078592511 * q^81 + 32147344949534769988675834932358838024355394065520493232144096322964430678203949090265848270504974541383740855029024 * q^82 - 92550876115215159531985566894207205907616571001151579100140340424113698287990359504129121116969620392280333900687084 * q^83 + 149786622283872863814961679878718479671325736759801797089969582016734283953793144464030325178406284102124769637769216 * q^84 - 457768087179221548903179340844196170221647881541175735561813412251720733334690809762523483946456540131705087221018100 * q^85 - 2597491864434159334587628292949145911098969463321219405661773952780499099399232684938429948876042525744324616394370112 * q^86 - 6860132173224607170538777320017488364980901889195600241683572931313063475309515779498812905462751134050092231747965320 * q^87 - 20006125934411614149040201757441776841868885955363484760412796241321136345672966303804893860326010500704122960860692480 * q^88 - 6037951059942933692255237205803554193360594969996068937834548367886153095083618336696729724512143193617265723073840790 * q^89 - 63101356532716899775688972110257991639639781786779198684055149646555511091876460642986977143928184313177571126402448800 * q^90 - 123641023753197596743476339553493022736411481279426005005225341366808933988856782685240985478245146307872825619974888592 * q^91 - 364595199967728361741013600374859006514622011131757842452690960184887037990775378757973866446814260984048497269830739968 * q^92 - 660210659270707805852573362768494443983824981820503945313596568722380303376948547337519220648409914639203450549706054528 * q^93 - 1077366499492799036766200119308272598652452209354508770841202268675762751723923474906601231339334467643845894468443138304 * q^94 - 1952811193153518003415269978917451688485843585663036733937657231131838392410846728976735534304153554615423725772929253000 * q^95 - 7973910491229034017269638806130805343748566540122585079441423327960922891988630774830062893111316529474837792857136300032 * q^96 - 10257092292553957046050140760321382189656293894451103156433186039799204062322028715705878067672306955149219750865890726798 * q^97 - 27691496134014026270502117819887007317432773944983420293676841151578333911041338924275151210232199410900266664836266600496 * q^98 - 44066255828766064795825662460182521807738019967004038392602001105306909448583819181101964434724044331056342593475150607396 * q^99

Display 100 coefficients 10 coefficients

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$	$a_n / n^{(k-1)/2}$	$ \alpha_n $			$ \theta_n $
$p$	$a_p$	$a_p / p^{(k-1)/2}$	$ \alpha_p$			$ \theta_p $

$2$	−2.69116e17	−0.165054	−0.0825268	−	0.996589i	$-0.526299\pi$
$2$	−2.69116e17	−0.165054	−0.0825268	+	0.996589i	$0.526299\pi$
$3$	3.14043e28	0.427714	0.213857	−	0.976865i	$-0.431397\pi$
$3$	3.14043e28	0.427714	0.213857	+	0.976865i	$0.431397\pi$
$4$	−2.58603e36	−0.972757
$5$	−3.76295e42	−1.94018	−0.970092	−	0.242739i	$-0.921954\pi$
$5$	−3.76295e42	−1.94018	−0.970092	+	0.242739i	$0.921954\pi$
$6$	−8.45141e45	−0.0705957
$7$	1.39208e51	1.03570	0.517850	−	0.855471i	$-0.326733\pi$
$7$	1.39208e51	1.03570	0.517850	+	0.855471i	$0.326733\pi$
$8$	1.41138e54	0.325611
$9$	−4.40480e57	−0.817061
$10$	1.01267e60	0.320234
$11$	6.35666e62	0.629465	0.314732	−	0.949180i	$-0.398085\pi$
$11$	6.35666e62	0.629465	0.314732	+	0.949180i	$0.398085\pi$
$12$	−8.12126e64	−0.416062
$13$	−2.58655e67	−1.04508	−0.522539	−	0.852616i	$-0.675015\pi$
$13$	−2.58655e67	−1.04508	−0.522539	+	0.852616i	$0.675015\pi$
$14$	−3.74632e68	−0.170946
$15$	−1.18173e71	−0.829843
$16$	6.49503e72	0.919014
$17$	1.31319e74	0.474426	0.237213	−	0.971458i	$-0.423766\pi$
$17$	1.31319e74	0.474426	0.237213	+	0.971458i	$0.423766\pi$
$18$	1.18540e75	0.134859
$19$	3.91725e77	1.69195	0.845977	−	0.533220i	$-0.179018\pi$
$19$	3.91725e77	1.69195	0.845977	+	0.533220i	$0.179018\pi$
$20$	9.73110e78	1.88733
$21$	4.37174e79	0.442983
$22$	−1.71068e80	−0.103895
$23$	−1.47213e82	−0.607311	−0.303656	−	0.952782i	$-0.598207\pi$
$23$	−1.47213e82	−0.607311	−0.303656	+	0.952782i	$0.598207\pi$
$24$	4.43233e82	0.139268
$25$	1.03982e85	2.76431
$26$	6.96083e84	0.172494
$27$	−3.07631e86	−0.777182
$28$	−3.59997e87	−1.00748
$29$	5.75001e87	0.192570	0.0962852	−	0.995354i	$-0.469304\pi$
$29$	5.75001e87	0.192570	0.0962852	+	0.995354i	$0.469304\pi$
$30$	3.18022e88	0.136969
$31$	−5.74515e89	−0.340344	−0.170172	−	0.985414i	$-0.554432\pi$
$31$	−5.74515e89	−0.340344	−0.170172	+	0.985414i	$0.554432\pi$
$32$	−5.50000e90	−0.477297
$33$	1.99626e91	0.269231
$34$	−3.53401e91	−0.0783057
$35$	−5.23834e93	−2.00945
$36$	1.13910e94	0.794802
$37$	1.13232e95	1.50580	0.752898	−	0.658138i	$-0.228656\pi$
$37$	1.13232e95	1.50580	0.752898	+	0.658138i	$0.228656\pi$
$38$	−1.05420e95	−0.279263
$39$	−8.12289e95	−0.446994
$40$	−5.31093e96	−0.631744
$41$	4.70540e97	1.25653	0.628266	−	0.777999i	$-0.283765\pi$
$41$	4.70540e97	1.25653	0.628266	+	0.777999i	$0.283765\pi$
$42$	−1.17651e97	−0.0731160
$43$	−5.86227e98	−0.877453	−0.438727	−	0.898621i	$-0.644570\pi$
$43$	−5.86227e98	−0.877453	−0.438727	+	0.898621i	$0.644570\pi$
$44$	−1.64385e99	−0.612316
$45$	1.65750e100	1.58525
$46$	3.96173e99	0.100239
$47$	−6.97961e100	−0.480740	−0.240370	−	0.970681i	$-0.577269\pi$
$47$	−6.97961e100	−0.480740	−0.240370	+	0.970681i	$0.577269\pi$
$48$	2.03972e101	0.393075
$49$	1.31293e101	0.0726742
$50$	−2.79832e102	−0.456259
$51$	4.12399e102	0.202919
$52$	6.68891e103	1.01661
$53$	−4.13910e103	−0.198708	−0.0993542	−	0.995052i	$-0.531678\pi$
$53$	−4.13910e103	−0.198708	−0.0993542	+	0.995052i	$0.531678\pi$
$54$	8.27886e103	0.128277
$55$	−2.39198e105	−1.22128
$56$	1.96475e105	0.337235
$57$	1.23019e106	0.723672
$58$	−1.54742e105	−0.0317844
$59$	−2.11844e107	−1.54692	−0.773462	−	0.633843i	$-0.781477\pi$
$59$	−2.11844e107	−1.54692	−0.773462	+	0.633843i	$0.781477\pi$
$60$	3.05599e107	0.807236
$61$	7.77100e107	0.755130	0.377565	−	0.925983i	$-0.376761\pi$
$61$	7.77100e107	0.755130	0.377565	+	0.925983i	$0.376761\pi$
$62$	1.54611e107	0.0561751
$63$	−6.13185e108	−0.846230
$64$	−1.57866e109	−0.840234
$65$	9.73306e109	2.02764
$66$	−5.37227e108	−0.0444375
$67$	−2.02466e110	−0.674260	−0.337130	−	0.941458i	$-0.609456\pi$
$67$	−2.02466e110	−0.674260	−0.337130	+	0.941458i	$0.609456\pi$
$68$	−3.39596e110	−0.461501
$69$	−4.62312e110	−0.259756
$70$	1.40972e111	0.331667
$71$	5.80214e111	0.578706	0.289353	−	0.957222i	$-0.406560\pi$
$71$	5.80214e111	0.578706	0.289353	+	0.957222i	$0.406560\pi$
$72$	−6.21683e111	−0.266044
$73$	−5.23422e111	−0.0972341	−0.0486171	−	0.998817i	$-0.515481\pi$
$73$	−5.23422e111	−0.0972341	−0.0486171	+	0.998817i	$0.515481\pi$
$74$	−3.04726e112	−0.248537
$75$	3.26548e113	1.18233
$76$	−1.01301e114	−1.64586
$77$	8.84900e113	0.651936
$78$	2.18600e113	0.0737780
$79$	5.52823e114	0.863271	0.431636	−	0.902048i	$-0.357937\pi$
$79$	5.52823e114	0.863271	0.431636	+	0.902048i	$0.357937\pi$
$80$	−2.44404e115	−1.78306
$81$	1.40855e115	0.484649
$82$	−1.26630e115	−0.207395
$83$	1.23987e116	0.975333	0.487666	−	0.873030i	$-0.337848\pi$
$83$	1.23987e116	0.975333	0.487666	+	0.873030i	$0.337848\pi$
$84$	−1.13055e116	−0.430915
$85$	−4.94147e116	−0.920473
$86$	1.57763e116	0.144827
$87$	1.80575e116	0.0823650
$88$	8.97163e116	0.204960
$89$	−1.22034e118	−1.40730	−0.703650	−	0.710547i	$-0.748448\pi$
$89$	−1.22034e118	−1.40730	−0.703650	+	0.710547i	$0.748448\pi$
$90$	−4.46061e117	−0.261651
$91$	−3.60070e118	−1.08239
$92$	3.80697e118	0.590767
$93$	−1.80422e118	−0.145570
$94$	1.87832e118	0.0793479
$95$	−1.47404e120	−3.28270
$96$	−1.72724e119	−0.204147
$97$	−6.18147e119	−0.390303	−0.195151	−	0.980773i	$-0.562520\pi$
$97$	−6.18147e119	−0.390303	−0.195151	+	0.980773i	$0.562520\pi$
$98$	−3.53332e118	−0.0119951
$99$	−2.79998e120	−0.514311
$100$	−2.68900e121	−2.68900
$101$	−9.04009e120	−0.495142	−0.247571	−	0.968870i	$-0.579632\pi$
$101$	−9.04009e120	−0.495142	−0.247571	+	0.968870i	$0.579632\pi$
$102$	−1.10983e120	−0.0334924
$103$	−3.95900e121	−0.662116	−0.331058	−	0.943610i	$-0.607406\pi$
$103$	−3.95900e121	−0.662116	−0.331058	+	0.943610i	$0.607406\pi$
$104$	−3.65060e121	−0.340288
$105$	−1.64506e122	−0.859469
$106$	1.11390e121	0.0327975
$107$	−3.61126e122	−0.602476	−0.301238	−	0.953549i	$-0.597400\pi$
$107$	−3.61126e122	−0.602476	−0.301238	+	0.953549i	$0.597400\pi$
$108$	7.95545e122	0.756010
$109$	−7.74224e122	−0.421273	−0.210636	−	0.977564i	$-0.567554\pi$
$109$	−7.74224e122	−0.421273	−0.210636	+	0.977564i	$0.567554\pi$
$110$	6.43719e122	0.201576
$111$	3.55598e123	0.644050
$112$	9.04162e123	0.951823
$113$	1.75278e124	1.07766	0.538830	−	0.842415i	$-0.318867\pi$
$113$	1.75278e124	1.07766	0.538830	+	0.842415i	$0.318867\pi$
$114$	−3.31063e123	−0.119445
$115$	5.53954e124	1.17830
$116$	−1.48697e124	−0.187324
$117$	1.13932e125	0.853892
$118$	5.70106e124	0.255325
$119$	1.82807e125	0.491363
$120$	−1.66786e125	−0.270206
$121$	−6.15729e125	−0.603774
$122$	−2.09130e125	−0.124637
$123$	1.47770e126	0.537436
$124$	1.48571e126	0.331072
$125$	−2.49732e127	−3.42309
$126$	1.65018e126	0.139673
$127$	−6.74889e126	−0.354085	−0.177042	−	0.984203i	$-0.556653\pi$
$127$	−6.74889e126	−0.354085	−0.177042	+	0.984203i	$0.556653\pi$
$128$	1.88699e127	0.615981
$129$	−1.84100e127	−0.375299
$130$	−2.61932e127	−0.334670
$131$	−1.41915e128	−1.14055	−0.570275	−	0.821454i	$-0.693163\pi$
$131$	−1.41915e128	−1.14055	−0.570275	+	0.821454i	$0.693163\pi$
$132$	−5.16240e127	−0.261896
$133$	5.45314e128	1.75236
$134$	5.44870e127	0.111289
$135$	1.15760e129	1.50788
$136$	1.85341e128	0.154478
$137$	−6.00262e128	−0.321179	−0.160589	−	0.987021i	$-0.551339\pi$
$137$	−6.00262e128	−0.321179	−0.160589	+	0.987021i	$0.551339\pi$
$138$	1.24416e128	0.0428736
$139$	−2.89882e128	−0.0645396	−0.0322698	−	0.999479i	$-0.510274\pi$
$139$	−2.89882e128	−0.0645396	−0.0322698	+	0.999479i	$0.510274\pi$
$140$	1.35465e130	1.95470
$141$	−2.19190e129	−0.205619
$142$	−1.56145e129	−0.0955175
$143$	−1.64418e130	−0.657839
$144$	−2.86093e130	−0.750890
$145$	−2.16370e130	−0.373622
$146$	1.40861e129	0.0160488
$147$	4.12318e129	0.0310838
$148$	−2.92822e131	−1.46477
$149$	−2.45641e131	−0.817581	−0.408791	−	0.912628i	$-0.634049\pi$
$149$	−2.45641e131	−0.817581	−0.408791	+	0.912628i	$0.634049\pi$
$150$	−8.78793e130	−0.195149
$151$	6.38566e131	0.948639	0.474319	−	0.880353i	$-0.342694\pi$
$151$	6.38566e131	0.948639	0.474319	+	0.880353i	$0.342694\pi$
$152$	5.52871e131	0.550918
$153$	−5.78435e131	−0.387635
$154$	−2.38141e131	−0.107604
$155$	2.16187e132	0.660330
$156$	2.10061e132	0.434817
$157$	8.85734e132	1.24559	0.622794	−	0.782386i	$-0.285998\pi$
$157$	8.85734e132	1.24559	0.622794	+	0.782386i	$0.285998\pi$
$158$	−1.48774e132	−0.142486
$159$	−1.29986e132	−0.0849903
$160$	2.06962e133	0.926044
$161$	−2.04933e133	−0.628992
$162$	−3.79063e132	−0.0799931
$163$	4.73066e133	0.687974	0.343987	−	0.938974i	$-0.388222\pi$
$163$	4.73066e133	0.687974	0.343987	+	0.938974i	$0.388222\pi$
$164$	−1.21683e134	−1.22230
$165$	−7.51183e133	−0.522357
$166$	−3.33670e133	−0.160982
$167$	−3.01103e134	−1.01011	−0.505055	−	0.863087i	$-0.668528\pi$
$167$	−3.01103e134	−1.01011	−0.505055	+	0.863087i	$0.668528\pi$
$168$	6.17017e133	0.144240
$169$	5.64697e133	0.0921870
$170$	1.32983e134	0.151927
$171$	−1.72547e135	−1.38243
$172$	1.51600e135	0.853549
$173$	−1.27179e135	−0.504225	−0.252113	−	0.967698i	$-0.581125\pi$
$173$	−1.27179e135	−0.504225	−0.252113	+	0.967698i	$0.581125\pi$
$174$	−4.85956e133	−0.0135946
$175$	1.44751e136	2.86300
$176$	4.12867e135	0.578487
$177$	−6.65281e135	−0.661641
$178$	3.28414e135	0.232280
$179$	−2.93127e135	−0.147723	−0.0738614	−	0.997269i	$-0.523532\pi$
$179$	−2.93127e135	−0.147723	−0.0738614	+	0.997269i	$0.523532\pi$
$180$	−4.28636e136	−1.54206
$181$	6.75065e136	1.73697	0.868484	−	0.495718i	$-0.165095\pi$
$181$	6.75065e136	1.73697	0.868484	+	0.495718i	$0.165095\pi$
$182$	9.69006e135	0.178652
$183$	2.44043e136	0.322980
$184$	−2.07773e136	−0.197747
$185$	−4.26087e137	−2.92152
$186$	4.85546e135	0.0240269
$187$	8.34751e136	0.298634
$188$	1.80495e137	0.467644
$189$	−4.28249e137	−0.804927
$190$	3.96688e137	0.541821
$191$	−5.52242e137	−0.549048	−0.274524	−	0.961580i	$-0.588520\pi$
$191$	−5.52242e137	−0.549048	−0.274524	+	0.961580i	$0.588520\pi$
$192$	−4.95768e137	−0.359380
$193$	2.23920e138	1.18543	0.592714	−	0.805413i	$-0.298056\pi$
$193$	2.23920e138	1.18543	0.592714	+	0.805413i	$0.298056\pi$
$194$	1.66353e137	0.0644209
$195$	3.05660e138	0.867251
$196$	−3.39529e137	−0.0706943
$197$	9.94645e138	1.52216	0.761082	−	0.648656i	$-0.224669\pi$
$197$	9.94645e138	1.52216	0.761082	+	0.648656i	$0.224669\pi$
$198$	7.53520e137	0.0848888
$199$	−2.02763e139	−1.68414	−0.842069	−	0.539370i	$-0.818662\pi$
$199$	−2.02763e139	−1.68414	−0.842069	+	0.539370i	$0.818662\pi$
$200$	1.46757e139	0.900089
$201$	−6.35832e138	−0.288390
$202$	2.43283e138	0.0817249
$203$	8.00449e138	0.199445
$204$	−1.06648e139	−0.197391
$205$	−1.77062e140	−2.43790
$206$	1.06543e139	0.109285
$207$	6.48443e139	0.496210
$208$	−1.67997e140	−0.960441
$209$	2.49006e140	1.06502
$210$	4.42713e139	0.141858
$211$	−1.46470e140	−0.352095	−0.176047	−	0.984382i	$-0.556331\pi$
$211$	−1.46470e140	−0.352095	−0.176047	+	0.984382i	$0.556331\pi$
$212$	1.07039e140	0.193295
$213$	1.82212e140	0.247521
$214$	9.71847e139	0.0994408
$215$	2.20594e141	1.70242
$216$	−4.34184e140	−0.253059
$217$	−7.99772e140	−0.352495
$218$	2.08356e140	0.0695326
$219$	−1.64377e140	−0.0415884
$220$	6.18573e141	1.18801
$221$	−3.39664e141	−0.495812
$222$	−9.56972e140	−0.106303
$223$	−7.22263e141	−0.611296	−0.305648	−	0.952145i	$-0.598873\pi$
$223$	−7.22263e141	−0.611296	−0.305648	+	0.952145i	$0.598873\pi$
$224$	−7.65646e141	−0.494337
$225$	−4.58019e142	−2.25861
$226$	−4.71701e141	−0.177872
$227$	6.37314e142	1.83988	0.919939	−	0.392062i	$-0.128238\pi$
$227$	6.37314e142	1.83988	0.919939	+	0.392062i	$0.128238\pi$
$228$	−3.18130e142	−0.703957
$229$	2.84609e142	0.483283	0.241641	−	0.970366i	$-0.422314\pi$
$229$	2.84609e142	0.483283	0.241641	+	0.970366i	$0.422314\pi$
$230$	−1.49078e142	−0.194482
$231$	2.77897e142	0.278842
$232$	8.11542e141	0.0627030
$233$	−1.45994e142	−0.0869564	−0.0434782	−	0.999054i	$-0.513844\pi$
$233$	−1.45994e142	−0.0869564	−0.0434782	+	0.999054i	$0.513844\pi$
$234$	−3.06611e142	−0.140938
$235$	2.62639e143	0.932724
$236$	5.47835e143	1.50478
$237$	1.73610e143	0.369233
$238$	−4.91964e142	−0.0811012
$239$	−6.32478e143	−0.809045	−0.404522	−	0.914528i	$-0.632562\pi$
$239$	−6.32478e143	−0.809045	−0.404522	+	0.914528i	$0.632562\pi$
$240$	−7.67535e143	−0.762638
$241$	−8.90448e143	−0.687983	−0.343991	−	0.938973i	$-0.611779\pi$
$241$	−8.90448e143	−0.687983	−0.343991	+	0.938973i	$0.611779\pi$
$242$	1.65703e143	0.0996551
$243$	2.10079e144	0.984473
$244$	−2.00961e144	−0.734558
$245$	−4.94050e143	−0.141001
$246$	−3.97673e143	−0.0887058
$247$	−1.01322e145	−1.76822
$248$	−8.10856e143	−0.110820
$249$	3.89374e144	0.417163
$250$	6.72068e144	0.564993
$251$	9.77237e144	0.645267	0.322634	−	0.946524i	$-0.395432\pi$
$251$	9.77237e144	0.645267	0.322634	+	0.946524i	$0.395432\pi$
$252$	1.58572e145	0.823176
$253$	−9.35781e144	−0.382281
$254$	1.81624e144	0.0584430
$255$	−1.55183e145	−0.393699
$256$	3.68898e145	0.738565
$257$	5.14111e145	0.813023	0.406512	−	0.913646i	$-0.366745\pi$
$257$	5.14111e145	0.813023	0.406512	+	0.913646i	$0.366745\pi$
$258$	4.95444e144	0.0619444
$259$	1.57629e146	1.55955
$260$	−2.51700e146	−1.97240
$261$	−2.53276e145	−0.157342
$262$	3.81916e145	0.188252
$263$	−5.01283e146	−1.96228	−0.981139	−	0.193304i	$-0.938080\pi$
$263$	−5.01283e146	−1.96228	−0.981139	+	0.193304i	$0.938080\pi$
$264$	2.81748e145	0.0876644
$265$	1.55752e146	0.385531
$266$	−1.46753e146	−0.289233
$267$	−3.83240e146	−0.601922
$268$	5.23585e146	0.655891
$269$	−1.36627e145	−0.0136623	−0.00683117	−	0.999977i	$-0.502174\pi$
$269$	−1.36627e145	−0.0136623	−0.00683117	+	0.999977i	$0.502174\pi$
$270$	−3.11529e146	−0.248880
$271$	6.46941e146	0.413259	0.206629	−	0.978419i	$-0.433751\pi$
$271$	6.46941e146	0.413259	0.206629	+	0.978419i	$0.433751\pi$
$272$	8.52922e146	0.436004
$273$	−1.13077e147	−0.462952
$274$	1.61540e146	0.0530117
$275$	6.60977e147	1.74004
$276$	1.19555e147	0.252679
$277$	−2.90632e147	−0.493534	−0.246767	−	0.969075i	$-0.579368\pi$
$277$	−2.90632e147	−0.493534	−0.246767	+	0.969075i	$0.579368\pi$
$278$	7.80120e145	0.0106525
$279$	2.53062e147	0.278082
$280$	−7.39326e147	−0.654298
$281$	1.64259e148	1.17165	0.585823	−	0.810439i	$-0.300771\pi$
$281$	1.64259e148	1.17165	0.585823	+	0.810439i	$0.300771\pi$
$282$	5.89875e146	0.0339382
$283$	−3.49762e148	−1.62440	−0.812200	−	0.583380i	$-0.801730\pi$
$283$	−3.49762e148	−1.62440	−0.812200	+	0.583380i	$0.801730\pi$
$284$	−1.50045e148	−0.562941
$285$	−4.62912e148	−1.40406
$286$	4.42476e147	0.108579
$287$	6.55032e148	1.30139
$288$	2.42264e148	0.389981
$289$	−5.93713e148	−0.774920
$290$	5.82286e147	0.0616676
$291$	−1.94125e148	−0.166938
$292$	1.35359e148	0.0945852
$293$	−1.39436e149	−0.792291	−0.396146	−	0.918188i	$-0.629652\pi$
$293$	−1.39436e149	−0.792291	−0.396146	+	0.918188i	$0.629652\pi$
$294$	−1.10961e147	−0.00513048
$295$	7.97157e149	3.00132
$296$	1.59813e149	0.490303
$297$	−1.95551e149	−0.489209
$298$	6.61058e148	0.134945
$299$	3.80774e149	0.634688
$300$	−8.44463e149	−1.15012
$301$	−8.16077e149	−0.908778
$302$	−1.71849e149	−0.156576
$303$	−2.83898e149	−0.211779
$304$	2.54427e150	1.55493
$305$	−2.92418e150	−1.46509
$306$	1.55666e149	0.0639805
$307$	−1.53076e150	−0.516458	−0.258229	−	0.966084i	$-0.583139\pi$
$307$	−1.53076e150	−0.516458	−0.258229	+	0.966084i	$0.583139\pi$
$308$	−2.28838e150	−0.634176
$309$	−1.24330e150	−0.283196
$310$	−5.81793e149	−0.108990
$311$	4.71731e150	0.727262	0.363631	−	0.931543i	$-0.381537\pi$
$311$	4.71731e150	0.727262	0.363631	+	0.931543i	$0.381537\pi$
$312$	−1.14645e150	−0.145546
$313$	9.88245e150	1.03379	0.516895	−	0.856049i	$-0.327088\pi$
$313$	9.88245e150	1.03379	0.516895	+	0.856049i	$0.327088\pi$
$314$	−2.38365e150	−0.205589
$315$	2.30738e151	1.64184
$316$	−1.42962e151	−0.839753
$317$	−1.28006e151	−0.621077	−0.310538	−	0.950561i	$-0.600509\pi$
$317$	−1.28006e151	−0.621077	−0.310538	+	0.950561i	$0.600509\pi$
$318$	3.49812e149	0.0140280
$319$	3.65508e150	0.121216
$320$	5.94042e151	1.63021
$321$	−1.13409e151	−0.257687
$322$	5.51506e150	0.103817
$323$	5.14410e151	0.802707
$324$	−3.64255e151	−0.471446
$325$	−2.68954e152	−2.88892
$326$	−1.27310e151	−0.113553
$327$	−2.43140e151	−0.180184
$328$	6.64110e151	0.409140
$329$	−9.71620e151	−0.497903
$330$	2.02156e151	0.0862169
$331$	5.11730e152	1.81739	0.908693	−	0.417464i	$-0.137081\pi$
$331$	5.11730e152	1.81739	0.908693	+	0.417464i	$0.137081\pi$
$332$	−3.20635e152	−0.948762
$333$	−4.98766e152	−1.23033
$334$	8.10317e151	0.166722
$335$	7.61870e152	1.30819
$336$	2.83946e152	0.407108
$337$	8.68126e151	0.103986	0.0519928	−	0.998647i	$-0.483443\pi$
$337$	8.68126e151	0.103986	0.0519928	+	0.998647i	$0.483443\pi$
$338$	−1.51969e151	−0.0152158
$339$	5.50449e152	0.460930
$340$	1.27788e153	0.895397
$341$	−3.65199e152	−0.214235
$342$	4.64352e152	0.228175
$343$	−2.33217e153	−0.960431
$344$	−8.27386e152	−0.285708
$345$	1.73965e153	0.503973
$346$	3.42258e152	0.0832242
$347$	−5.88256e153	−1.20125	−0.600625	−	0.799531i	$-0.705082\pi$
$347$	−5.88256e153	−1.20125	−0.600625	+	0.799531i	$0.705082\pi$
$348$	−4.66973e152	−0.0801212
$349$	−6.56009e153	−0.946175	−0.473087	−	0.881016i	$-0.656861\pi$
$349$	−6.56009e153	−0.946175	−0.473087	+	0.881016i	$0.656861\pi$
$350$	−3.89549e153	−0.472548
$351$	7.95705e153	0.812216
$352$	−3.49616e153	−0.300442
$353$	1.02331e154	0.740694	0.370347	−	0.928893i	$-0.379239\pi$
$353$	1.02331e154	0.740694	0.370347	+	0.928893i	$0.379239\pi$
$354$	1.79038e153	0.109206
$355$	−2.18331e154	−1.12280
$356$	3.15585e154	1.36896
$357$	5.74094e153	0.210163
$358$	7.88853e152	0.0243822
$359$	−4.17222e154	−1.08931	−0.544657	−	0.838659i	$-0.683340\pi$
$359$	−4.17222e154	−1.08931	−0.544657	+	0.838659i	$0.683340\pi$
$360$	2.33936e154	0.516174
$361$	9.98459e154	1.86271
$362$	−1.81671e154	−0.286693
$363$	−1.93365e154	−0.258243
$364$	9.31152e154	1.05290
$365$	1.96961e154	0.188652
$366$	−6.56759e153	−0.0533089
$367$	−2.49902e155	−1.71978	−0.859890	−	0.510480i	$-0.829468\pi$
$367$	−2.49902e155	−1.71978	−0.859890	+	0.510480i	$0.829468\pi$
$368$	−9.56151e154	−0.558128
$369$	−2.07264e155	−1.02666
$370$	1.14667e155	0.482207
$371$	−5.76198e154	−0.205802
$372$	4.66578e154	0.141604
$373$	3.48834e155	0.899983	0.449991	−	0.893033i	$-0.351427\pi$
$373$	3.48834e155	0.899983	0.449991	+	0.893033i	$0.351427\pi$
$374$	−2.24645e154	−0.0492907
$375$	−7.84265e155	−1.46410
$376$	−9.85085e154	−0.156534
$377$	−1.48727e155	−0.201251
$378$	1.15249e155	0.132856
$379$	3.58550e154	0.0352272	0.0176136	−	0.999845i	$-0.494393\pi$
$379$	3.58550e154	0.0352272	0.0176136	+	0.999845i	$0.494393\pi$
$380$	3.81192e156	3.19327
$381$	−2.11944e155	−0.151447
$382$	1.48617e155	0.0906223
$383$	−6.68136e155	−0.347808	−0.173904	−	0.984763i	$-0.555638\pi$
$383$	−6.68136e155	−0.347808	−0.173904	+	0.984763i	$0.555638\pi$
$384$	5.92597e155	0.263464
$385$	−3.32983e156	−1.26488
$386$	−6.02604e155	−0.195659
$387$	2.58221e156	0.716933
$388$	1.59855e156	0.379670
$389$	−7.92287e155	−0.161039	−0.0805196	−	0.996753i	$-0.525658\pi$
$389$	−7.92287e155	−0.161039	−0.0805196	+	0.996753i	$0.525658\pi$
$390$	−8.22580e155	−0.143143
$391$	−1.93319e156	−0.288124
$392$	1.85304e155	0.0236635
$393$	−4.45674e156	−0.487829
$394$	−2.67675e156	−0.251238
$395$	−2.08024e157	−1.67490
$396$	7.24084e156	0.500300
$397$	−1.54550e157	−0.916735	−0.458368	−	0.888763i	$-0.651566\pi$
$397$	−1.54550e157	−0.916735	−0.458368	+	0.888763i	$0.651566\pi$
$398$	5.45668e156	0.277973
$399$	1.71252e157	0.749507
$400$	6.75365e157	2.54044
$401$	−4.05817e157	−1.31249	−0.656245	−	0.754548i	$-0.727856\pi$
$401$	−4.05817e157	−1.31249	−0.656245	+	0.754548i	$0.727856\pi$
$402$	1.71113e156	0.0475999
$403$	1.48601e157	0.355686
$404$	2.33780e157	0.481653
$405$	−5.30028e157	−0.940308
$406$	−2.15414e156	−0.0329191
$407$	7.19779e157	0.947845
$408$	5.82050e156	0.0660725
$409$	3.77294e157	0.369334	0.184667	−	0.982801i	$-0.440879\pi$
$409$	3.77294e157	0.369334	0.184667	+	0.982801i	$0.440879\pi$
$410$	4.76502e157	0.402385
$411$	−1.88508e157	−0.137373
$412$	1.02381e158	0.644078
$413$	−2.94904e158	−1.60215
$414$	−1.74506e157	−0.0819013
$415$	−4.66558e158	−1.89232
$416$	1.42260e158	0.498813
$417$	−9.10355e156	−0.0276045
$418$	−6.70116e157	−0.175786
$419$	−3.22058e157	−0.0731115	−0.0365557	−	0.999332i	$-0.511639\pi$
$419$	−3.22058e157	−0.0731115	−0.0365557	+	0.999332i	$0.511639\pi$
$420$	4.25419e158	0.836054
$421$	−6.32845e158	−1.07704	−0.538519	−	0.842614i	$-0.681016\pi$
$421$	−6.32845e158	−1.07704	−0.538519	+	0.842614i	$0.681016\pi$
$422$	3.94174e157	0.0581145
$423$	3.07438e158	0.392794
$424$	−5.84183e157	−0.0647015
$425$	1.36548e159	1.31146
$426$	−4.90363e157	−0.0408542
$427$	1.08179e159	0.782088
$428$	9.33882e158	0.586063
$429$	−5.16344e158	−0.281367
$430$	−5.93654e158	−0.280991
$431$	−1.35124e159	−0.555723	−0.277861	−	0.960621i	$-0.589626\pi$
$431$	−1.35124e159	−0.555723	−0.277861	+	0.960621i	$0.589626\pi$
$432$	−1.99807e159	−0.714241
$433$	4.27900e159	1.32992	0.664958	−	0.746881i	$-0.268450\pi$
$433$	4.27900e159	1.32992	0.664958	+	0.746881i	$0.268450\pi$
$434$	2.15232e158	0.0581805
$435$	−6.79494e158	−0.159803
$436$	2.00217e159	0.409796
$437$	−5.76669e159	−1.02754
$438$	4.42365e157	0.00686431
$439$	−6.04660e159	−0.817349	−0.408675	−	0.912680i	$-0.634009\pi$
$439$	−6.04660e159	−0.817349	−0.408675	+	0.912680i	$0.634009\pi$
$440$	−3.37598e159	−0.397661
$441$	−5.78321e158	−0.0593792
$442$	9.14091e158	0.0818355
$443$	−1.57497e160	−1.22983	−0.614917	−	0.788592i	$-0.710810\pi$
$443$	−1.57497e160	−1.22983	−0.614917	+	0.788592i	$0.710810\pi$
$444$	−9.19588e159	−0.626504
$445$	4.59209e160	2.73042
$446$	1.94373e159	0.100897
$447$	−7.71417e159	−0.349691
$448$	−2.19763e160	−0.870231
$449$	2.62314e160	0.907648	0.453824	−	0.891091i	$-0.350060\pi$
$449$	2.62314e160	0.907648	0.453824	+	0.891091i	$0.350060\pi$
$450$	1.23260e160	0.372792
$451$	2.99106e160	0.790942
$452$	−4.53275e160	−1.04830
$453$	2.00537e160	0.405746
$454$	−1.71511e160	−0.303678
$455$	1.35492e161	2.10003
$456$	1.73625e160	0.235635
$457$	−6.43531e160	−0.764962	−0.382481	−	0.923963i	$-0.624930\pi$
$457$	−6.43531e160	−0.764962	−0.382481	+	0.923963i	$0.624930\pi$
$458$	−7.65927e159	−0.0797675
$459$	−4.03979e160	−0.368715
$460$	−1.43254e161	−1.14620
$461$	−9.33988e160	−0.655293	−0.327646	−	0.944800i	$-0.606255\pi$
$461$	−9.33988e160	−0.655293	−0.327646	+	0.944800i	$0.606255\pi$
$462$	−7.47865e159	−0.0460239
$463$	−9.61433e160	−0.519122	−0.259561	−	0.965727i	$-0.583578\pi$
$463$	−9.61433e160	−0.519122	−0.259561	+	0.965727i	$0.583578\pi$
$464$	3.73465e160	0.176975
$465$	6.78920e160	0.282433
$466$	3.92893e159	0.0143525
$467$	3.26869e161	1.04882	0.524412	−	0.851465i	$-0.324285\pi$
$467$	3.26869e161	1.04882	0.524412	+	0.851465i	$0.324285\pi$
$468$	−2.94633e161	−0.830630
$469$	−2.81850e161	−0.698331
$470$	−7.06803e160	−0.153949
$471$	2.78159e161	0.532755
$472$	−2.98991e161	−0.503695
$473$	−3.72644e161	−0.552326
$474$	−4.67213e160	−0.0609433
$475$	4.07323e162	4.67709
$476$	−4.72746e161	−0.477977
$477$	1.82319e161	0.162357
$478$	1.70210e161	0.133536
$479$	−2.38775e162	−1.65078	−0.825391	−	0.564561i	$-0.809045\pi$
$479$	−2.38775e162	−1.65078	−0.825391	+	0.564561i	$0.809045\pi$
$480$	6.49950e161	0.396082
$481$	−2.92881e162	−1.57367
$482$	2.39634e161	0.113554
$483$	−6.43577e161	−0.269029
$484$	1.59230e162	0.587326
$485$	2.32605e162	0.757259
$486$	−5.65358e161	−0.162491
$487$	−5.02108e162	−1.27437	−0.637185	−	0.770711i	$-0.719901\pi$
$487$	−5.02108e162	−1.27437	−0.637185	+	0.770711i	$0.719901\pi$
$488$	1.09678e162	0.245878
$489$	1.48563e162	0.294256
$490$	1.32957e161	0.0232728
$491$	−9.01584e162	−1.39501	−0.697503	−	0.716582i	$-0.745706\pi$
$491$	−9.01584e162	−1.39501	−0.697503	+	0.716582i	$0.745706\pi$
$492$	−3.82138e162	−0.522795
$493$	7.55086e161	0.0913604
$494$	2.72673e162	0.291851
$495$	1.05362e163	0.997857
$496$	−3.73149e162	−0.312781
$497$	8.07707e162	0.599366
$498$	−1.04787e162	−0.0688543
$499$	−1.39525e163	−0.812023	−0.406012	−	0.913868i	$-0.633081\pi$
$499$	−1.39525e163	−0.812023	−0.406012	+	0.913868i	$0.633081\pi$
$500$	6.45814e163	3.32983
$501$	−9.45594e162	−0.432038
$502$	−2.62990e162	−0.106504
$503$	−3.35356e163	−1.20404	−0.602022	−	0.798480i	$-0.705638\pi$
$503$	−3.35356e163	−1.20404	−0.602022	+	0.798480i	$0.705638\pi$
$504$	−8.65435e162	−0.275541
$505$	3.40174e163	0.960666
$506$	2.51834e162	0.0630969
$507$	1.77339e162	0.0394297
$508$	1.74529e163	0.344439
$509$	−8.03406e163	−1.40770	−0.703848	−	0.710350i	$-0.748536\pi$
$509$	−8.03406e163	−1.40770	−0.703848	+	0.710350i	$0.748536\pi$
$510$	4.17624e162	0.0649815
$511$	−7.28647e162	−0.100705
$512$	−6.00925e163	−0.737884
$513$	−1.20507e164	−1.31496
$514$	−1.38356e163	−0.134192
$515$	1.48975e164	1.28463
$516$	4.76090e163	0.365075
$517$	−4.43670e163	−0.302609
$518$	−4.24204e163	−0.257410
$519$	−3.99395e163	−0.215664
$520$	1.37370e164	0.660222
$521$	−7.55475e163	−0.323249	−0.161625	−	0.986852i	$-0.551673\pi$
$521$	−7.55475e163	−0.323249	−0.161625	+	0.986852i	$0.551673\pi$
$522$	6.81607e162	0.0259698
$523$	−8.44949e163	−0.286733	−0.143367	−	0.989670i	$-0.545793\pi$
$523$	−8.44949e163	−0.286733	−0.143367	+	0.989670i	$0.545793\pi$
$524$	3.66996e164	1.10948
$525$	4.54582e164	1.22454
$526$	1.34903e164	0.323881
$527$	−7.54448e163	−0.161468
$528$	1.29658e164	0.247427
$529$	−3.70865e164	−0.631173
$530$	−4.19154e163	−0.0636332
$531$	9.33130e164	1.26393
$532$	−1.41020e165	−1.70462
$533$	−1.21708e165	−1.31317
$534$	1.03136e164	0.0993493
$535$	1.35890e165	1.16891
$536$	−2.85756e164	−0.219546
$537$	−9.20546e163	−0.0631831
$538$	3.67687e162	0.00225502
$539$	8.34587e163	0.0457458
$540$	−2.99359e165	−1.46680
$541$	−1.91263e165	−0.837906	−0.418953	−	0.908008i	$-0.637603\pi$
$541$	−1.91263e165	−0.837906	−0.418953	+	0.908008i	$0.637603\pi$
$542$	−1.74102e164	−0.0682099
$543$	2.11999e165	0.742925
$544$	−7.22255e164	−0.226442
$545$	2.91336e165	0.817346
$546$	3.04310e164	0.0764119
$547$	5.93999e165	1.33522	0.667609	−	0.744512i	$-0.267318\pi$
$547$	5.93999e165	1.33522	0.667609	+	0.744512i	$0.267318\pi$
$548$	1.55230e165	0.312429
$549$	−3.42297e165	−0.616987
$550$	−1.77879e165	−0.287199
$551$	2.25242e165	0.325820
$552$	−6.52496e164	−0.0845792
$553$	7.69576e165	0.894090
$554$	7.82136e164	0.0814595
$555$	−1.33810e166	−1.24957
$556$	7.49645e164	0.0627814
$557$	2.18241e166	1.63945	0.819723	−	0.572760i	$-0.194127\pi$
$557$	2.18241e166	1.63945	0.819723	+	0.572760i	$0.194127\pi$
$558$	−6.81031e164	−0.0458984
$559$	1.51631e166	0.917007
$560$	−3.40231e166	−1.84671
$561$	2.62148e165	0.127730
$562$	−4.42047e165	−0.193385
$563$	−4.22477e166	−1.65976	−0.829879	−	0.557944i	$-0.811591\pi$
$563$	−4.22477e166	−1.65976	−0.829879	+	0.557944i	$0.811591\pi$
$564$	5.66832e165	0.200018
$565$	−6.59562e166	−2.09086
$566$	9.41265e165	0.268113
$567$	1.96081e166	0.501951
$568$	8.18901e165	0.188433
$569$	6.78106e166	1.40283	0.701415	−	0.712753i	$-0.252552\pi$
$569$	6.78106e166	1.40283	0.701415	+	0.712753i	$0.252552\pi$
$570$	1.24577e166	0.231745
$571$	3.38904e166	0.567011	0.283506	−	0.958971i	$-0.408503\pi$
$571$	3.38904e166	0.567011	0.283506	+	0.958971i	$0.408503\pi$
$572$	4.25191e166	0.639918
$573$	−1.73428e166	−0.234835
$574$	−1.76280e166	−0.214799
$575$	−1.53075e167	−1.67880
$576$	6.95369e166	0.686523
$577$	6.22241e166	0.553123	0.276562	−	0.960996i	$-0.410805\pi$
$577$	6.22241e166	0.553123	0.276562	+	0.960996i	$0.410805\pi$
$578$	1.59778e166	0.127903
$579$	7.03205e166	0.507024
$580$	5.59539e166	0.363443
$581$	1.72601e167	1.01015
$582$	5.22421e165	0.0275537
$583$	−2.63108e166	−0.125080
$584$	−7.38745e165	−0.0316605
$585$	−4.28722e167	−1.65671
$586$	3.75246e166	0.130771
$587$	−2.79099e167	−0.877309	−0.438655	−	0.898656i	$-0.644545\pi$
$587$	−2.79099e167	−0.877309	−0.438655	+	0.898656i	$0.644545\pi$
$588$	−1.06627e166	−0.0302369
$589$	−2.25052e167	−0.575847
$590$	−2.14528e167	−0.495378
$591$	3.12361e167	0.651050
$592$	7.35447e167	1.38385
$593$	−6.69589e167	−1.13762	−0.568812	−	0.822467i	$-0.692597\pi$
$593$	−6.69589e167	−1.13762	−0.568812	+	0.822467i	$0.692597\pi$
$594$	5.26258e166	0.0807456
$595$	−6.87894e167	−0.953334
$596$	6.35235e167	0.795308
$597$	−6.36763e167	−0.720329
$598$	−1.02472e167	−0.104757
$599$	1.16037e168	1.07219	0.536096	−	0.844157i	$-0.319898\pi$
$599$	1.16037e168	1.07219	0.536096	+	0.844157i	$0.319898\pi$
$600$	4.60882e167	0.384981
$601$	6.96610e167	0.526119	0.263060	−	0.964780i	$-0.415268\pi$
$601$	6.96610e167	0.526119	0.263060	+	0.964780i	$0.415268\pi$
$602$	2.19619e167	0.149997
$603$	8.91824e167	0.550911
$604$	−1.65135e168	−0.922795
$605$	2.31696e168	1.17143
$606$	7.64014e166	0.0349549
$607$	−2.75483e165	−0.00114072	−0.000570359	−	1.00000i	$-0.500182\pi$
$607$	−2.75483e165	−0.00114072	−0.000570359		1.00000i	$0.500182\pi$
$608$	−2.15449e168	−0.807565
$609$	2.51375e167	0.0853054
$610$	7.86945e167	0.241818
$611$	1.80531e168	0.502411
$612$	1.49585e168	0.377075
$613$	−6.79632e168	−1.55208	−0.776041	−	0.630682i	$-0.782775\pi$
$613$	−6.79632e168	−1.55208	−0.776041	+	0.630682i	$0.782775\pi$
$614$	4.11952e167	0.0852433
$615$	−5.56050e168	−1.04272
$616$	1.24893e168	0.212277
$617$	−2.95235e167	−0.0454899	−0.0227449	−	0.999741i	$-0.507241\pi$
$617$	−2.95235e167	−0.0454899	−0.0227449	+	0.999741i	$0.507241\pi$
$618$	3.34592e167	0.0467425
$619$	−3.08610e168	−0.390955	−0.195477	−	0.980708i	$-0.562626\pi$
$619$	−3.08610e168	−0.390955	−0.195477	+	0.980708i	$0.562626\pi$
$620$	−5.59066e168	−0.642341
$621$	4.52873e168	0.471992
$622$	−1.26950e168	−0.120037
$623$	−1.69882e169	−1.45754
$624$	−5.27584e168	−0.410794
$625$	5.48591e169	3.87710
$626$	−2.65953e168	−0.170631
$627$	7.81987e168	0.455526
$628$	−2.29054e169	−1.21165
$629$	1.48696e169	0.714388
$630$	−6.20954e168	−0.270992
$631$	8.78930e168	0.348480	0.174240	−	0.984703i	$-0.444253\pi$
$631$	8.78930e168	0.348480	0.174240	+	0.984703i	$0.444253\pi$
$632$	7.80242e168	0.281090
$633$	−4.59979e168	−0.150596
$634$	3.44485e168	0.102511
$635$	2.53957e169	0.686990
$636$	3.36147e168	0.0826749
$637$	−3.39597e168	−0.0759501
$638$	−9.83641e167	−0.0200072
$639$	−2.55573e169	−0.472838
$640$	−7.10066e169	−1.19512
$641$	−4.90288e169	−0.750828	−0.375414	−	0.926857i	$-0.622499\pi$
$641$	−4.90288e169	−0.750828	−0.375414	+	0.926857i	$0.622499\pi$
$642$	3.05202e168	0.0425322
$643$	−8.61332e169	−1.09246	−0.546232	−	0.837634i	$-0.683938\pi$
$643$	−8.61332e169	−1.09246	−0.546232	+	0.837634i	$0.683938\pi$
$644$	5.29962e169	0.611857
$645$	6.92760e169	0.728149
$646$	−1.38436e169	−0.132490
$647$	8.89657e169	0.775378	0.387689	−	0.921790i	$-0.373273\pi$
$647$	8.89657e169	0.775378	0.387689	+	0.921790i	$0.373273\pi$
$648$	1.98799e169	0.157807
$649$	−1.34662e170	−0.973734
$650$	7.23800e169	0.476827
$651$	−2.51163e169	−0.150767
$652$	−1.22336e170	−0.669231
$653$	−3.25407e170	−1.62248	−0.811241	−	0.584712i	$-0.801208\pi$
$653$	−3.25407e170	−1.62248	−0.811241	+	0.584712i	$0.801208\pi$
$654$	6.54328e168	0.0297400
$655$	5.34018e170	2.21288
$656$	3.05617e170	1.15477
$657$	2.30557e169	0.0794462
$658$	2.61478e169	0.0821806
$659$	7.26422e169	0.208268	0.104134	−	0.994563i	$-0.466793\pi$
$659$	7.26422e169	0.208268	0.104134	+	0.994563i	$0.466793\pi$
$660$	1.94258e170	0.508127
$661$	4.39480e170	1.04894	0.524471	−	0.851429i	$-0.324263\pi$
$661$	4.39480e170	1.04894	0.524471	+	0.851429i	$0.324263\pi$
$662$	−1.37715e170	−0.299966
$663$	−1.06669e170	−0.212066
$664$	1.74993e170	0.317579
$665$	−2.05199e171	−3.39989
$666$	1.34226e170	0.203070
$667$	−8.46475e169	−0.116950
$668$	7.78662e170	0.982592
$669$	−2.26822e170	−0.261460
$670$	−2.05031e170	−0.215921
$671$	4.93976e170	0.475328
$672$	−2.40446e170	−0.211435
$673$	6.23245e170	0.500895	0.250448	−	0.968130i	$-0.419422\pi$
$673$	6.23245e170	0.500895	0.250448	+	0.968130i	$0.419422\pi$
$674$	−2.33627e169	−0.0171632
$675$	−3.19881e171	−2.14837
$676$	−1.46032e170	−0.0896756
$677$	1.28589e171	0.722087	0.361044	−	0.932549i	$-0.382421\pi$
$677$	1.28589e171	0.722087	0.361044	+	0.932549i	$0.382421\pi$
$678$	−1.48135e170	−0.0760782
$679$	−8.60512e170	−0.404237
$680$	−6.97428e170	−0.299716
$681$	2.00144e171	0.786941
$682$	9.82810e169	0.0353602
$683$	2.50009e171	0.823195	0.411597	−	0.911366i	$-0.364971\pi$
$683$	2.50009e171	0.823195	0.411597	+	0.911366i	$0.364971\pi$
$684$	4.46212e171	1.34477
$685$	2.25876e171	0.623146
$686$	6.27625e170	0.158523
$687$	8.93793e170	0.206707
$688$	−3.80756e171	−0.806392
$689$	1.07060e171	0.207666
$690$	−4.68169e170	−0.0831826
$691$	−7.55773e171	−1.23018	−0.615091	−	0.788456i	$-0.710881\pi$
$691$	−7.55773e171	−1.23018	−0.615091	+	0.788456i	$0.710881\pi$
$692$	3.28888e171	0.490489
$693$	−3.89781e171	−0.532672
$694$	1.58309e171	0.198271
$695$	1.09081e171	0.125219
$696$	2.54859e170	0.0268189
$697$	6.17910e171	0.596131
$698$	1.76543e171	0.156170
$699$	−4.58484e170	−0.0371925
$700$	−3.74332e172	−2.78500
$701$	−1.92735e172	−1.31529	−0.657643	−	0.753330i	$-0.728446\pi$
$701$	−1.92735e172	−1.31529	−0.657643	+	0.753330i	$0.728446\pi$
$702$	−2.14137e171	−0.134059
$703$	4.43559e172	2.54774
$704$	−1.00350e172	−0.528898
$705$	8.24799e171	0.398939
$706$	−2.75390e171	−0.122254
$707$	−1.25846e172	−0.512818
$708$	1.72044e172	0.643616
$709$	3.29794e172	1.13278	0.566390	−	0.824138i	$-0.308340\pi$
$709$	3.29794e172	1.13278	0.566390	+	0.824138i	$0.308340\pi$
$710$	5.87565e171	0.185322
$711$	−2.43508e172	−0.705345
$712$	−1.72236e172	−0.458232
$713$	8.45759e171	0.206695
$714$	−1.54498e171	−0.0346881
$715$	6.18697e172	1.27633
$716$	7.58036e171	0.143699
$717$	−1.98625e172	−0.346040
$718$	1.12281e172	0.179795
$719$	4.82997e171	0.0710963	0.0355481	−	0.999368i	$-0.488682\pi$
$719$	4.82997e171	0.0710963	0.0355481	+	0.999368i	$0.488682\pi$
$720$	1.07655e173	1.45687
$721$	−5.51127e172	−0.685753
$722$	−2.68701e172	−0.307446
$723$	−2.79639e172	−0.294260
$724$	−1.74574e173	−1.68965
$725$	5.97896e172	0.532324
$726$	5.20378e171	0.0426239
$727$	−4.45893e172	−0.336046	−0.168023	−	0.985783i	$-0.553738\pi$
$727$	−4.45893e172	−0.336046	−0.168023	+	0.985783i	$0.553738\pi$
$728$	−5.08194e172	−0.352437
$729$	−9.96116e171	−0.0635762
$730$	−5.30053e171	−0.0311377
$731$	−7.69828e172	−0.416287
$732$	−6.31103e172	−0.314181
$733$	−1.77160e172	−0.0812037	−0.0406018	−	0.999175i	$-0.512928\pi$
$733$	−1.77160e172	−0.0812037	−0.0406018	+	0.999175i	$0.512928\pi$
$734$	6.72526e172	0.283856
$735$	−1.55153e172	−0.0603082
$736$	8.09670e172	0.289868
$737$	−1.28701e173	−0.424423
$738$	5.57780e172	0.169454
$739$	4.54834e172	0.127311	0.0636553	−	0.997972i	$-0.479724\pi$
$739$	4.54834e172	0.127311	0.0636553	+	0.997972i	$0.479724\pi$
$740$	1.10187e174	2.84193
$741$	−3.18194e173	−0.756293
$742$	1.55064e172	0.0339684
$743$	−2.20097e173	−0.444416	−0.222208	−	0.974999i	$-0.571326\pi$
$743$	−2.20097e173	−0.444416	−0.222208	+	0.974999i	$0.571326\pi$
$744$	−2.54644e172	−0.0473992
$745$	9.24332e173	1.58626
$746$	−9.38768e172	−0.148545
$747$	−5.46140e173	−0.796906
$748$	−2.15869e173	−0.290499
$749$	−5.02717e173	−0.623984
$750$	2.11058e173	0.241655
$751$	4.55220e173	0.480845	0.240423	−	0.970668i	$-0.422714\pi$
$751$	4.55220e173	0.480845	0.240423	+	0.970668i	$0.422714\pi$
$752$	−4.53327e173	−0.441807
$753$	3.06894e173	0.275990
$754$	4.00248e172	0.0332172
$755$	−2.40289e174	−1.84053
$756$	1.10746e174	0.782999
$757$	1.30327e174	0.850618	0.425309	−	0.905048i	$-0.360165\pi$
$757$	1.30327e174	0.850618	0.425309	+	0.905048i	$0.360165\pi$
$758$	−9.64916e171	−0.00581437
$759$	−2.93876e173	−0.163507
$760$	−2.08043e174	−1.06888
$761$	−3.89905e174	−1.85007	−0.925033	−	0.379887i	$-0.875963\pi$
$761$	−3.89905e174	−1.85007	−0.925033	+	0.379887i	$0.875963\pi$
$762$	5.70377e172	0.0249969
$763$	−1.07778e174	−0.436312
$764$	1.42811e174	0.534090
$765$	2.17662e174	0.752083
$766$	1.79806e173	0.0574069
$767$	5.47945e174	1.61666
$768$	1.15850e174	0.315894
$769$	5.06109e174	1.27556	0.637779	−	0.770219i	$-0.279853\pi$
$769$	5.06109e174	1.27556	0.637779	+	0.770219i	$0.279853\pi$
$770$	8.96111e173	0.208772
$771$	1.61453e174	0.347741
$772$	−5.79064e174	−1.15313
$773$	−2.86401e174	−0.527370	−0.263685	−	0.964609i	$-0.584938\pi$
$773$	−2.86401e174	−0.527370	−0.263685	+	0.964609i	$0.584938\pi$
$774$	−6.94915e173	−0.118332
$775$	−5.97391e174	−0.940818
$776$	−8.72438e173	−0.127087
$777$	4.95022e174	0.667042
$778$	2.13217e173	0.0265801
$779$	1.84322e175	2.12599
$780$	−7.90447e174	−0.843624
$781$	3.68822e174	0.364275
$782$	5.20252e173	0.0475560
$783$	−1.76888e174	−0.149662
$784$	8.52754e173	0.0667886
$785$	−3.33297e175	−2.41667
$786$	1.19938e174	0.0805180
$787$	1.18589e175	0.737179	0.368590	−	0.929592i	$-0.379841\pi$
$787$	1.18589e175	0.737179	0.368590	+	0.929592i	$0.379841\pi$
$788$	−2.57218e175	−1.48070
$789$	−1.57425e175	−0.839294
$790$	5.59827e174	0.276449
$791$	2.44002e175	1.11613
$792$	−3.95183e174	−0.167465
$793$	−2.01001e175	−0.789169
$794$	4.15920e174	0.151310
$795$	4.89129e174	0.164897
$796$	5.24352e175	1.63826
$797$	1.74052e175	0.504024	0.252012	−	0.967724i	$-0.418908\pi$
$797$	1.74052e175	0.504024	0.252012	+	0.967724i	$0.418908\pi$
$798$	−4.60867e174	−0.123709
$799$	−9.16556e174	−0.228076
$800$	−5.71900e175	−1.31940
$801$	5.37537e175	1.14985
$802$	1.09212e175	0.216631
$803$	−3.32721e174	−0.0612054
$804$	1.64428e175	0.280534
$805$	7.71150e175	1.22036
$806$	−3.99910e174	−0.0587073
$807$	−4.29069e173	−0.00584357
$808$	−1.27590e175	−0.161223
$809$	4.39796e175	0.515662	0.257831	−	0.966190i	$-0.416992\pi$
$809$	4.39796e175	0.515662	0.257831	+	0.966190i	$0.416992\pi$
$810$	1.42639e175	0.155201
$811$	−1.66394e176	−1.68026	−0.840131	−	0.542383i	$-0.817522\pi$
$811$	−1.66394e176	−1.68026	−0.840131	+	0.542383i	$0.817522\pi$
$812$	−2.06999e175	−0.194012
$813$	2.03167e175	0.176757
$814$	−1.93704e175	−0.156445
$815$	−1.78012e176	−1.33480
$816$	2.67854e175	0.186485
$817$	−2.29640e176	−1.48461
$818$	−1.01536e175	−0.0609599
$819$	1.58604e176	0.884376
$820$	4.57888e176	2.37149
$821$	−2.02932e176	−0.976316	−0.488158	−	0.872755i	$-0.662331\pi$
$821$	−2.02932e176	−0.976316	−0.488158	+	0.872755i	$0.662331\pi$
$822$	5.07306e174	0.0226738
$823$	−2.94572e176	−1.22321	−0.611606	−	0.791163i	$-0.709476\pi$
$823$	−2.94572e176	−1.22321	−0.611606	+	0.791163i	$0.709476\pi$
$824$	−5.58765e175	−0.215592
$825$	2.07575e176	0.744238
$826$	7.93635e175	0.264440
$827$	−1.54146e176	−0.477362	−0.238681	−	0.971098i	$-0.576715\pi$
$827$	−1.54146e176	−0.477362	−0.238681	+	0.971098i	$0.576715\pi$
$828$	−1.67689e176	−0.482692
$829$	4.03122e176	1.07867	0.539333	−	0.842092i	$-0.318676\pi$
$829$	4.03122e176	1.07867	0.539333	+	0.842092i	$0.318676\pi$
$830$	1.25558e176	0.312335
$831$	−9.12708e175	−0.211091
$832$	4.08329e176	0.878110
$833$	1.72413e175	0.0344785
$834$	2.44991e174	0.00455622
$835$	1.13303e177	1.95980
$836$	−6.43938e176	−1.03601
$837$	1.76739e176	0.264510
$838$	8.66710e174	0.0120673
$839$	−6.53945e176	−0.847115	−0.423558	−	0.905869i	$-0.639219\pi$
$839$	−6.53945e176	−0.847115	−0.423558	+	0.905869i	$0.639219\pi$
$840$	−2.32180e176	−0.279852
$841$	−8.58512e176	−0.962917
$842$	1.70309e176	0.177769
$843$	5.15844e176	0.501130
$844$	3.78776e176	0.342503
$845$	−2.12492e176	−0.178860
$846$	−8.27364e175	−0.0648321
$847$	−8.57146e176	−0.625329
$848$	−2.68836e176	−0.182616
$849$	−1.09840e177	−0.694778
$850$	−3.67473e176	−0.216461
$851$	−1.66692e177	−0.914487
$852$	−4.71207e176	−0.240778
$853$	4.01398e176	0.191055	0.0955275	−	0.995427i	$-0.469546\pi$
$853$	4.01398e176	0.191055	0.0955275	+	0.995427i	$0.469546\pi$
$854$	−2.91127e176	−0.129086
$855$	6.49285e177	2.68217
$856$	−5.09684e176	−0.196173
$857$	−1.62561e177	−0.583012	−0.291506	−	0.956569i	$-0.594156\pi$
$857$	−1.62561e177	−0.583012	−0.291506	+	0.956569i	$0.594156\pi$
$858$	1.38957e176	0.0464406
$859$	3.81270e177	1.18754	0.593768	−	0.804637i	$-0.297640\pi$
$859$	3.81270e177	1.18754	0.593768	+	0.804637i	$0.297640\pi$
$860$	−5.70463e177	−1.65604
$861$	2.05708e177	0.556623
$862$	3.63641e176	0.0917240
$863$	−2.12423e176	−0.0499515	−0.0249757	−	0.999688i	$-0.507951\pi$
$863$	−2.12423e176	−0.0499515	−0.0249757	+	0.999688i	$0.507951\pi$
$864$	1.69197e177	0.370947
$865$	4.78566e177	0.978290
$866$	−1.15155e177	−0.219507
$867$	−1.86451e177	−0.331444
$868$	2.06824e177	0.342892
$869$	3.51411e177	0.543399
$870$	1.82863e176	0.0263761
$871$	5.23690e177	0.704654
$872$	−1.09272e177	−0.137171
$873$	2.72281e177	0.318901
$874$	1.55191e177	0.169600
$875$	−3.47647e178	−3.54529
$876$	4.25084e176	0.0404554
$877$	2.65993e177	0.236263	0.118131	−	0.992998i	$-0.462310\pi$
$877$	2.65993e177	0.236263	0.118131	+	0.992998i	$0.462310\pi$
$878$	1.62724e177	0.134906
$879$	−4.37890e177	−0.338874
$880$	−1.55360e178	−1.12237
$881$	−1.11924e178	−0.754887	−0.377444	−	0.926033i	$-0.623197\pi$
$881$	−1.11924e178	−0.754887	−0.377444	+	0.926033i	$0.623197\pi$
$882$	1.55636e176	0.00980075
$883$	1.89848e178	1.11631	0.558155	−	0.829737i	$-0.311510\pi$
$883$	1.89848e178	1.11631	0.558155	+	0.829737i	$0.311510\pi$
$884$	8.78382e177	0.482305
$885$	2.50342e178	1.28370
$886$	4.23849e177	0.202988
$887$	−6.71438e177	−0.300350	−0.150175	−	0.988659i	$-0.547984\pi$
$887$	−6.71438e177	−0.300350	−0.150175	+	0.988659i	$0.547984\pi$
$888$	5.01883e177	0.209709
$889$	−9.39503e177	−0.366726
$890$	−1.23580e178	−0.450666
$891$	8.95364e177	0.305069
$892$	1.86780e178	0.594642
$893$	−2.73409e178	−0.813390
$894$	2.07601e177	0.0577177
$895$	1.10302e178	0.286609
$896$	2.62685e178	0.637971
$897$	1.19579e178	0.271465
$898$	−7.05928e177	−0.149811
$899$	−3.30346e177	−0.0655402
$900$	1.18445e179	2.19708
$901$	−5.43544e177	−0.0942724
$902$	−8.04943e177	−0.130548
$903$	−2.56283e178	−0.388697
$904$	2.47383e178	0.350897
$905$	−2.54023e179	−3.37003
$906$	−5.39679e177	−0.0669698
$907$	9.57419e178	1.11138	0.555688	−	0.831391i	$-0.312455\pi$
$907$	9.57419e178	1.11138	0.555688	+	0.831391i	$0.312455\pi$
$908$	−1.64811e179	−1.78975
$909$	3.98198e178	0.404561
$910$	−3.64632e178	−0.346617
$911$	7.56372e178	0.672781	0.336390	−	0.941723i	$-0.390794\pi$
$911$	7.56372e178	0.672781	0.336390	+	0.941723i	$0.390794\pi$
$912$	7.99009e178	0.665065
$913$	7.88145e178	0.613937
$914$	1.73185e178	0.126260
$915$	−9.18320e178	−0.626640
$916$	−7.36007e178	−0.470117
$917$	−1.97557e179	−1.18127
$918$	1.08717e178	0.0608578
$919$	3.48813e178	0.182812	0.0914060	−	0.995814i	$-0.470864\pi$
$919$	3.48813e178	0.182812	0.0914060	+	0.995814i	$0.470864\pi$
$920$	7.81837e178	0.383666
$921$	−4.80725e178	−0.220896
$922$	2.51351e178	0.108158
$923$	−1.50075e179	−0.604793
$924$	−7.18650e178	−0.271246
$925$	1.17741e180	4.16249
$926$	2.58737e178	0.0856829
$927$	1.74386e179	0.540989
$928$	−3.16250e178	−0.0919133
$929$	−6.00429e179	−1.63497	−0.817487	−	0.575948i	$-0.804633\pi$
$929$	−6.00429e179	−1.63497	−0.817487	+	0.575948i	$0.804633\pi$
$930$	−1.82708e178	−0.0466165
$931$	5.14309e178	0.122961
$932$	3.77545e178	0.0845875
$933$	1.48144e179	0.311060
$934$	−8.79658e178	−0.173112
$935$	−3.14112e179	−0.579405
$936$	1.60802e179	0.278036
$937$	−6.42044e179	−1.04069	−0.520343	−	0.853957i	$-0.674196\pi$
$937$	−6.42044e179	−1.04069	−0.520343	+	0.853957i	$0.674196\pi$
$938$	7.58504e178	0.115262
$939$	3.10352e179	0.442166
$940$	−6.79193e179	−0.907314
$941$	6.80068e179	0.851883	0.425942	−	0.904751i	$-0.359943\pi$
$941$	6.80068e179	0.851883	0.425942	+	0.904751i	$0.359943\pi$
$942$	−7.48570e178	−0.0879332
$943$	−6.92696e179	−0.763106
$944$	−1.37593e180	−1.42165
$945$	1.61148e180	1.56171
$946$	1.00285e179	0.0911633
$947$	−9.45769e179	−0.806513	−0.403256	−	0.915087i	$-0.632122\pi$
$947$	−9.45769e179	−0.806513	−0.403256	+	0.915087i	$0.632122\pi$
$948$	−4.48962e179	−0.359174
$949$	1.35386e179	0.101617
$950$	−1.09617e180	−0.771970
$951$	−4.01994e179	−0.265643
$952$	2.58010e179	0.159993
$953$	2.31990e180	1.35005	0.675023	−	0.737797i	$-0.264134\pi$
$953$	2.31990e180	1.35005	0.675023	+	0.737797i	$0.264134\pi$
$954$	−4.90650e178	−0.0267976
$955$	2.07806e180	1.06525
$956$	1.63561e180	0.787004
$957$	1.14785e179	0.0518459
$958$	6.42581e179	0.272468
$959$	−8.35615e179	−0.332645
$960$	1.86555e180	0.697263
$961$	−2.51941e180	−0.884166
$962$	7.88191e179	0.259740
$963$	1.59069e180	0.492259
$964$	2.30273e180	0.669240
$965$	−8.42598e180	−2.29995
$966$	1.73197e179	0.0444042
$967$	5.53433e180	1.33280	0.666398	−	0.745596i	$-0.267835\pi$
$967$	5.53433e180	1.33280	0.666398	+	0.745596i	$0.267835\pi$
$968$	−8.69025e179	−0.196595
$969$	1.61547e180	0.343329
$970$	−6.25979e179	−0.124988
$971$	−5.25256e180	−0.985388	−0.492694	−	0.870202i	$-0.663988\pi$
$971$	−5.25256e180	−0.985388	−0.492694	+	0.870202i	$0.663988\pi$
$972$	−5.43272e180	−0.957654
$973$	−4.03540e179	−0.0668436
$974$	1.35125e180	0.210339
$975$	−8.44633e180	−1.23563
$976$	5.04729e180	0.693975
$977$	3.99874e180	0.516776	0.258388	−	0.966041i	$-0.416809\pi$
$977$	3.99874e180	0.516776	0.258388	+	0.966041i	$0.416809\pi$
$978$	−3.99807e179	−0.0485680
$979$	−7.75730e180	−0.885845
$980$	1.27763e180	0.137160
$981$	3.41030e180	0.344205
$982$	2.42631e180	0.230251
$983$	1.80310e181	1.60891	0.804454	−	0.594015i	$-0.202458\pi$
$983$	1.80310e181	1.60891	0.804454	+	0.594015i	$0.202458\pi$
$984$	2.08559e180	0.174995
$985$	−3.74279e181	−2.95328
$986$	−2.03206e179	−0.0150794
$987$	−3.05130e180	−0.212960
$988$	2.62021e181	1.72005
$989$	8.63001e180	0.532887
$990$	−2.83545e180	−0.164700
$991$	−1.11931e181	−0.611637	−0.305819	−	0.952090i	$-0.598930\pi$
$991$	−1.11931e181	−0.611637	−0.305819	+	0.952090i	$0.598930\pi$
$992$	3.15983e180	0.162445
$993$	1.60705e181	0.777322
$994$	−2.17367e180	−0.0989275
$995$	7.62986e181	3.26754
$996$	−1.00693e181	−0.405799
$997$	−5.54636e179	−0.0210354	−0.0105177	−	0.999945i	$-0.503348\pi$
$997$	−5.54636e179	−0.0210354	−0.0105177	+	0.999945i	$0.503348\pi$
$998$	3.75484e180	0.134027
$999$	−3.48338e181	−1.17028

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	1.122.a.a.1.5	✓	9

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
1.122.a.a.1.5	✓	9	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 1 \)
Weight:	\( k \)	\(=\)	\( 122 \)
Character orbit:	\([\chi]\)	\(=\)	1.a (trivial)

\(f(q)\)	\(=\)	\(q-2.69116e17 q^{2} +3.14043e28 q^{3} -2.58603e36 q^{4} -3.76295e42 q^{5} -8.45141e45 q^{6} +1.39208e51 q^{7} +1.41138e54 q^{8} -4.40480e57 q^{9} +O(q^{10})\)	\(q-2.69116e17 q^{2} +3.14043e28 q^{3} -2.58603e36 q^{4} -3.76295e42 q^{5} -8.45141e45 q^{6} +1.39208e51 q^{7} +1.41138e54 q^{8} -4.40480e57 q^{9} +1.01267e60 q^{10} +6.35666e62 q^{11} -8.12126e64 q^{12} -2.58655e67 q^{13} -3.74632e68 q^{14} -1.18173e71 q^{15} +6.49503e72 q^{16} +1.31319e74 q^{17} +1.18540e75 q^{18} +3.91725e77 q^{19} +9.73110e78 q^{20} +4.37174e79 q^{21} -1.71068e80 q^{22} -1.47213e82 q^{23} +4.43233e82 q^{24} +1.03982e85 q^{25} +6.96083e84 q^{26} -3.07631e86 q^{27} -3.59997e87 q^{28} +5.75001e87 q^{29} +3.18022e88 q^{30} -5.74515e89 q^{31} -5.50000e90 q^{32} +1.99626e91 q^{33} -3.53401e91 q^{34} -5.23834e93 q^{35} +1.13910e94 q^{36} +1.13232e95 q^{37} -1.05420e95 q^{38} -8.12289e95 q^{39} -5.31093e96 q^{40} +4.70540e97 q^{41} -1.17651e97 q^{42} -5.86227e98 q^{43} -1.64385e99 q^{44} +1.65750e100 q^{45} +3.96173e99 q^{46} -6.97961e100 q^{47} +2.03972e101 q^{48} +1.31293e101 q^{49} -2.79832e102 q^{50} +4.12399e102 q^{51} +6.68891e103 q^{52} -4.13910e103 q^{53} +8.27886e103 q^{54} -2.39198e105 q^{55} +1.96475e105 q^{56} +1.23019e106 q^{57} -1.54742e105 q^{58} -2.11844e107 q^{59} +3.05599e107 q^{60} +7.77100e107 q^{61} +1.54611e107 q^{62} -6.13185e108 q^{63} -1.57866e109 q^{64} +9.73306e109 q^{65} -5.37227e108 q^{66} -2.02466e110 q^{67} -3.39596e110 q^{68} -4.62312e110 q^{69} +1.40972e111 q^{70} +5.80214e111 q^{71} -6.21683e111 q^{72} -5.23422e111 q^{73} -3.04726e112 q^{74} +3.26548e113 q^{75} -1.01301e114 q^{76} +8.84900e113 q^{77} +2.18600e113 q^{78} +5.52823e114 q^{79} -2.44404e115 q^{80} +1.40855e115 q^{81} -1.26630e115 q^{82} +1.23987e116 q^{83} -1.13055e116 q^{84} -4.94147e116 q^{85} +1.57763e116 q^{86} +1.80575e116 q^{87} +8.97163e116 q^{88} -1.22034e118 q^{89} -4.46061e117 q^{90} -3.60070e118 q^{91} +3.80697e118 q^{92} -1.80422e118 q^{93} +1.87832e118 q^{94} -1.47404e120 q^{95} -1.72724e119 q^{96} -6.18147e119 q^{97} -3.53332e118 q^{98} -2.79998e120 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 9 q - 23\!\cdots\!28 q^{2}+ \cdots + 79\!\cdots\!17 q^{9}+O(q^{10}) \) 9 * q - 2345005562254519728 * q^2 - 45298662406895255983997747004 * q^3 + 8462901481545657250924227818768095488 * q^4 - 1892628936004587162449482404208025942059050 * q^5 - 169155345437237254853213475765636376857034060992 * q^6 + 2195742607988216453868262401462060909846066161833992 * q^7 - 6498505205013969366907252193209867920059782603760087040 * q^8 + 7945503363883566160952357352391639075761121301070127960917 * q^9	\( 9 q - 23\!\cdots\!28 q^{2}+ \cdots - 44\!\cdots\!96 q^{99}+O(q^{100}) \) 9 * q - 2345005562254519728 * q^2 - 45298662406895255983997747004 * q^3 + 8462901481545657250924227818768095488 * q^4 - 1892628936004587162449482404208025942059050 * q^5 - 169155345437237254853213475765636376857034060992 * q^6 + 2195742607988216453868262401462060909846066161833992 * q^7 - 6498505205013969366907252193209867920059782603760087040 * q^8 + 7945503363883566160952357352391639075761121301070127960917 * q^9 - 1722648625287605771733277740799503204814238573365164973293600 * q^10 - 946247437041242628794010189459909585820203760454440287613552692 * q^11 + 205846961050281878415699597946796712976603670706873231298938012672 * q^12 + 20596127771705642483605985955370331334854065669132980339746788779486 * q^13 - 6541972694294346334011779110963479954883365352702523229035305330483584 * q^14 + 94761650294240619608372286408346994746207880434327141095820600145938200 * q^15 + 15125444512952621416063439206177933863772762787209602627890080570611400704 * q^16 + 291951493650412549850834598805724750617640895870041885121831690800331035682 * q^17 - 2554000175718076948380008722939707666960273565314048023897922364658130426864 * q^18 + 30244684445956612332670117612595525326891015746649482369862884848315284461780 * q^19 + 4562951142663369182841621952582280345228980283169468426672463108421372089382400 * q^20 + 35146001071237823021693437259813836720201207139254364736561723878685716530560288 * q^21 - 1908843328157955617823816866863990801015534541375661383005747627202736697921398336 * q^22 - 66547277273309692585260941575189421012052896396341670760157778423156238686357058024 * q^23 - 752736756299124610400627977416074789098074869027579302337966622137134625951047925760 * q^24 - 6063954929776831553687695824368630787209822932539681432479202799269060736255468175625 * q^25 - 68842531925347949534946832128658250301897561117051749502543801676148842557574912147872 * q^26 - 599094982712902977137778651999579486037062432725587105690436473582035154107389795716440 * q^27 + 14581457392452701650088858542793969027985828891624009507886840217572255356341773965625344 * q^28 + 9039340472411915035494616975186209221844392206687458522714064361334880069082093346905070 * q^29 + 224260392412850366562482895689598093094206490242486949280006808962977358350861560270998400 * q^30 - 1034214344782654758430975917538809236085530199413694042134266190861671432181122576926086112 * q^31 - 32504525000929540761398714812123921617256100597234986820033520241386493923631009832383807488 * q^32 + 189949463814086324300823839088808170132383689196162349649439549175970470599919775108948927152 * q^33 + 939230388337351560267419962761669652735221862277825209065568487608538630630957599920217170336 * q^34 + 1343144021786280211948320998755385153610555228046229864187689603416027546078320739943060612400 * q^35 - 21747907752251375975427518389059436655823261956750397535228718126776457105689705407608776563456 * q^36 - 88515341604947210488499310221844243003334043790663530401335727647981800120006279439706998268938 * q^37 + 126431143256035943119117270678428356969446546517968603954366283120911078870917992997220500555840 * q^38 + 217837571218652472832776380975246155068206021757529611026730729062256423563336349872452629634104 * q^39 + 11699272454320878743488987607870545498317393987884112075950101149279048493373249852479799479296000 * q^40 - 36266094262194860707738000735265088509116494488735889525314316314221341311667592777599187406913222 * q^41 - 24787352510041822155108090768801766655788422577097156255869676682213614031202393800364112862967296 * q^42 - 232370696794750496427815530982465444104722554898177200564202440384179721532324359363059913691265044 * q^43 + 7755327422511594524608603055387018294701513657236683851986386901343418513803274064133364624004320256 * q^44 + 3247131420778261129864754583862668667744851710389803065112927478198766013287651133195234793708696350 * q^45 - 32066987947547067490416916557196164509339083485720964163476500441257367761070295505033101035894375552 * q^46 - 132970274906173452814801214841116212222140439777467383504750807710754558312919347426848207706456695248 * q^47 + 1792993240520940040285669530334719652675802655317197830920369780797223163120464508596735702234386661376 * q^48 + 3971615803493637002463922107037659765667323348806045910695714957649057905572825978452768033947465237313 * q^49 + 7697223557528977921454596784007095645216064886088735712319363716221302227247960859603436865144030830000 * q^50 - 12851187227364644420645646585565612980157473692407810028414511867222315540665892049707079694243262493752 * q^51 + 41491246868006007350968584983945986180424656334954442495103497331692372835472248671859508511281974820352 * q^52 + 10921805138133777254090784536986505203689729704788186882887817145907729071674310284399320645165776125446 * q^53 + 1339620561670595781535503143383501960027220441835890399944886982813214108542142442500405331111067486871680 * q^54 - 1312854241531753321574015681587452449577731960880104498235108054018717321131599152359037095554839302748600 * q^55 - 14013489107783484379024464711764338924776495535033134010566539603721944518516633929838564532681379280158720 * q^56 - 31019370720452892632999266840260901115398140535819179494909299925851052488218537305068762474072132809464880 * q^57 + 103566512036259767730142842802003772713045020405103287191675134464175461494809359502286741327442998854097760 * q^58 - 212654227372156556243821221093344570156200984495183110384877226881440240904587127248726963633402442388397060 * q^59 - 422775085570641982781661820780199899688061805673956240019260238835680896536027096304091002230119430523545600 * q^60 + 1192163308009290988314718399559245385155131325092676542388200473202899841355909578157895873548972217626937358 * q^61 + 1941577256261942079284748865266177577315768005250991995768914948259042107075822164327427075406958896697915904 * q^62 + 451398588142208697776529182978564850520004037586377967283679997710918662905240621028803130635870486918043496 * q^63 + 58844915592066748224918413663360071934978670807229624180238002804297923325840628846335879209980431060401389568 * q^64 - 41307677239725606429137681882540847206257959638235776751518537901187469657040797622415542482923664688418764300 * q^65 - 222086041679950312339781078110357023370750120852496118683208049646663973764702391499379128192551147975013941504 * q^66 - 136956255883591433626896738276452320541908670428347212980145870863327851773988143589420054081089733226508975868 * q^67 - 141094811799092295974464545753546540483126567546619661037683966526498908594653379053568196980211372687791832576 * q^68 + 1325703171238765045361423824776857588261240408135555321965899246235283904667578177535332268855352594559670964064 * q^69 + 251934589370384384494289262861906043864096277276788575857738394556055301564200175196895771626792095349002028800 * q^70 - 21585422985838182545762327030440661631324036114582384867758341692032917773329287240302446531581657134820891213752 * q^71 - 5181834258416339630015764026055527646506354416168007949107924953264135981412995982436721696529253639785101291520 * q^72 + 91235460780032725960652165272631372912505283323159668796891496309162099636399114489032757775807008811684035374426 * q^73 + 310562981122696891225427716699672479798427405954878722327169646078571868354993002411909262537623251852286369642976 * q^74 + 43065854506087315183339457241248482679331791698024061594158993211332750535581795467446263657604087829943816477500 * q^75 - 1628928259080846394930799553567522291541981414122456953774556713740025206052658836539555750192733076653498088483840 * q^76 + 593398979324677723779464865172133117018002924612325496238799373091215617849415550444705675974821710181802828350304 * q^77 - 6873235601534959334329744558974767766222222958184019979663697300957230011165665645661869140437348638585389730736768 * q^78 + 12451904914912678516471799458709519750612136226261564829575149335945412565470277464754582893898189772426218896816720 * q^79 - 20416950898306426146345946546741629794844904073553249082791509645594723097676639519064500446972597103490830240972800 * q^80 - 40856231575215745746855879250733371261216334279125203008573307569275978049909264916389709598337529820618984078592511 * q^81 + 32147344949534769988675834932358838024355394065520493232144096322964430678203949090265848270504974541383740855029024 * q^82 - 92550876115215159531985566894207205907616571001151579100140340424113698287990359504129121116969620392280333900687084 * q^83 + 149786622283872863814961679878718479671325736759801797089969582016734283953793144464030325178406284102124769637769216 * q^84 - 457768087179221548903179340844196170221647881541175735561813412251720733334690809762523483946456540131705087221018100 * q^85 - 2597491864434159334587628292949145911098969463321219405661773952780499099399232684938429948876042525744324616394370112 * q^86 - 6860132173224607170538777320017488364980901889195600241683572931313063475309515779498812905462751134050092231747965320 * q^87 - 20006125934411614149040201757441776841868885955363484760412796241321136345672966303804893860326010500704122960860692480 * q^88 - 6037951059942933692255237205803554193360594969996068937834548367886153095083618336696729724512143193617265723073840790 * q^89 - 63101356532716899775688972110257991639639781786779198684055149646555511091876460642986977143928184313177571126402448800 * q^90 - 123641023753197596743476339553493022736411481279426005005225341366808933988856782685240985478245146307872825619974888592 * q^91 - 364595199967728361741013600374859006514622011131757842452690960184887037990775378757973866446814260984048497269830739968 * q^92 - 660210659270707805852573362768494443983824981820503945313596568722380303376948547337519220648409914639203450549706054528 * q^93 - 1077366499492799036766200119308272598652452209354508770841202268675762751723923474906601231339334467643845894468443138304 * q^94 - 1952811193153518003415269978917451688485843585663036733937657231131838392410846728976735534304153554615423725772929253000 * q^95 - 7973910491229034017269638806130805343748566540122585079441423327960922891988630774830062893111316529474837792857136300032 * q^96 - 10257092292553957046050140760321382189656293894451103156433186039799204062322028715705878067672306955149219750865890726798 * q^97 - 27691496134014026270502117819887007317432773944983420293676841151578333911041338924275151210232199410900266664836266600496 * q^98 - 44066255828766064795825662460182521807738019967004038392602001105306909448583819181101964434724044331056342593475150607396 * q^99

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