LMFDB - Embedded newform 99.2.m.b.25.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [99,2,Mod(4,99)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(99, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([10, 6]))

N = Newforms(chi, 2, names="a")

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

chi := DirichletCharacter("99.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 99 = 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	99.m (of order $15$, degree $8$, minimal)

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:	no
Analytic conductor:	$0.790518980011$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$9$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			25.4
Character	$\chi$	$=$	99.25
Dual form			99.2.m.b.4.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.0603978 - 0.574647i) q^{2} +(0.641057 - 1.60905i) q^{3} +(1.62972 - 0.346409i) q^{4} +(-0.314048 + 2.98797i) q^{5} +(-0.963355 - 0.271198i) q^{6} +(-0.779082 - 0.865259i) q^{7} +(-0.654602 - 2.01466i) q^{8} +(-2.17809 - 2.06299i) q^{9} +1.73599 q^{10} +(-0.565602 + 3.26804i) q^{11} +(0.487356 - 2.84438i) q^{12} +(-3.60501 - 1.60505i) q^{13} +(-0.450163 + 0.499957i) q^{14} +(4.60647 + 2.42078i) q^{15} +(1.92600 - 0.857509i) q^{16} +(0.254185 + 0.184677i) q^{17} +(-1.05394 + 1.37623i) q^{18} +(1.96794 + 6.05670i) q^{19} +(0.523246 + 4.97835i) q^{20} +(-1.89168 + 0.698904i) q^{21} +(1.91213 + 0.127639i) q^{22} +(0.0427501 + 0.0740453i) q^{23} +(-3.66132 - 0.238222i) q^{24} +(-3.93860 - 0.837174i) q^{25} +(-0.704604 + 2.16855i) q^{26} +(-4.71573 + 2.18217i) q^{27} +(-1.56942 - 1.14025i) q^{28} +(-5.15218 - 5.72208i) q^{29} +(1.11287 - 2.79330i) q^{30} +(5.96439 + 2.65552i) q^{31} +(-2.72743 - 4.72404i) q^{32} +(4.89586 + 3.00508i) q^{33} +(0.0907715 - 0.157221i) q^{34} +(2.83004 - 2.05614i) q^{35} +(-4.26433 - 2.60759i) q^{36} +(-1.92922 + 5.93753i) q^{37} +(3.36160 - 1.49668i) q^{38} +(-4.89363 + 4.77171i) q^{39} +(6.22531 - 1.32323i) q^{40} +(3.88703 - 4.31698i) q^{41} +(0.515876 + 1.04484i) q^{42} +(3.39229 - 5.87562i) q^{43} +(0.210303 + 5.52194i) q^{44} +(6.84817 - 5.86020i) q^{45} +(0.0399679 - 0.0290384i) q^{46} +(0.320574 + 0.0681401i) q^{47} +(-0.145103 - 3.64874i) q^{48} +(0.589996 - 5.61344i) q^{49} +(-0.243197 + 2.31387i) q^{50} +(0.460101 - 0.290609i) q^{51} +(-6.43117 - 1.36699i) q^{52} +(1.96000 - 1.42402i) q^{53} +(1.53880 + 2.57808i) q^{54} +(-9.58718 - 2.71632i) q^{55} +(-1.23321 + 2.13598i) q^{56} +(11.0071 + 0.716169i) q^{57} +(-2.97699 + 3.30629i) q^{58} +(2.24586 - 0.477372i) q^{59} +(8.34586 + 2.34948i) q^{60} +(-12.5039 + 5.56709i) q^{61} +(1.16575 - 3.58780i) q^{62} +(-0.0881031 + 3.49185i) q^{63} +(0.861321 - 0.625787i) q^{64} +(5.92799 - 10.2676i) q^{65} +(1.43116 - 2.99489i) q^{66} +(-5.83989 - 10.1150i) q^{67} +(0.478226 + 0.212920i) q^{68} +(0.146548 - 0.0213198i) q^{69} +(-1.35248 - 1.50208i) q^{70} +(-7.05272 - 5.12410i) q^{71} +(-2.73043 + 5.73855i) q^{72} +(0.910538 - 2.80235i) q^{73} +(3.52850 + 0.750007i) q^{74} +(-3.87192 + 5.80073i) q^{75} +(5.30529 + 9.18904i) q^{76} +(3.26835 - 2.05668i) q^{77} +(3.03761 + 2.52391i) q^{78} +(0.928965 + 8.83851i) q^{79} +(1.95735 + 6.02412i) q^{80} +(0.488175 + 8.98675i) q^{81} +(-2.71551 - 1.97293i) q^{82} +(4.52916 - 2.01651i) q^{83} +(-2.84081 + 1.79431i) q^{84} +(-0.631634 + 0.701501i) q^{85} +(-3.58129 - 1.59449i) q^{86} +(-12.5100 + 4.62195i) q^{87} +(6.95423 - 0.999772i) q^{88} +2.12862 q^{89} +(-3.78116 - 3.58133i) q^{90} +(1.41981 + 4.36973i) q^{91} +(0.0953208 + 0.105864i) q^{92} +(8.09637 - 7.89467i) q^{93} +(0.0197945 - 0.188332i) q^{94} +(-18.7153 + 3.97805i) q^{95} +(-9.34966 + 1.36019i) q^{96} +(0.00928623 + 0.0883526i) q^{97} -3.26138 q^{98} +(7.97386 - 5.95127i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) $ 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.0603978	−	0.574647i	−0.0427077	−	0.406337i	−0.994902	−	0.100844i	$-0.967846\pi$
$2$	−0.0603978	−	0.574647i	−0.0427077	−	0.406337i	0.952195	−	0.305492i	$-0.0988210\pi$
$3$	0.641057	−	1.60905i	0.370114	−	0.928986i
$3$	0.641057	−	1.60905i	0.370114	−	0.928986i
$4$	1.62972	−	0.346409i	0.814862	−	0.173204i
$5$	−0.314048	+	2.98797i	−0.140447	+	1.33626i	0.666442	+	0.745557i	$0.267816\pi$
$5$	−0.314048	+	2.98797i	−0.140447	+	1.33626i	−0.806889	+	0.590704i	$0.798850\pi$
$6$	−0.963355	−	0.271198i	−0.393288	−	0.110716i
$7$	−0.779082	−	0.865259i	−0.294465	−	0.327037i	0.577699	−	0.816250i	$-0.303951\pi$
$7$	−0.779082	−	0.865259i	−0.294465	−	0.327037i	−0.872164	+	0.489213i	$0.837284\pi$
$8$	−0.654602	−	2.01466i	−0.231437	−	0.712289i
$9$	−2.17809	−	2.06299i	−0.726031	−	0.687662i
$10$	1.73599			0.548970
$11$	−0.565602	+	3.26804i	−0.170535	+	0.985352i
$11$	−0.565602	+	3.26804i	−0.170535	+	0.985352i
$12$	0.487356	−	2.84438i	0.140688	−	0.821101i
$13$	−3.60501	−	1.60505i	−0.999849	−	0.445161i	−0.159495	−	0.987199i	$-0.550986\pi$
$13$	−3.60501	−	1.60505i	−0.999849	−	0.445161i	−0.840354	+	0.542037i	$0.817653\pi$
$14$	−0.450163	+	0.499957i	−0.120311	+	0.133619i
$15$	4.60647	+	2.42078i	1.18939	+	0.625042i
$16$	1.92600	−	0.857509i	0.481499	−	0.214377i
$17$	0.254185	+	0.184677i	0.0616490	+	0.0447906i	0.618183	−	0.786034i	$-0.287869\pi$
$17$	0.254185	+	0.184677i	0.0616490	+	0.0447906i	−0.556534	+	0.830825i	$0.687869\pi$
$18$	−1.05394	+	1.37623i	−0.248415	+	0.324381i
$19$	1.96794	+	6.05670i	0.451477	+	1.38950i	0.875222	+	0.483721i	$0.160715\pi$
$19$	1.96794	+	6.05670i	0.451477	+	1.38950i	−0.423746	+	0.905781i	$0.639285\pi$
$20$	0.523246	+	4.97835i	0.117001	+	1.11319i
$21$	−1.89168	+	0.698904i	−0.412799	+	0.152513i
$22$	1.91213	+	0.127639i	0.407668	+	0.0272126i
$23$	0.0427501	+	0.0740453i	0.00891401	+	0.0154395i	0.870448	−	0.492260i	$-0.163829\pi$
$23$	0.0427501	+	0.0740453i	0.00891401	+	0.0154395i	−0.861534	+	0.507700i	$0.830496\pi$
$24$	−3.66132	−	0.238222i	−0.747365	−	0.0486268i
$25$	−3.93860	−	0.837174i	−0.787719	−	0.167435i
$26$	−0.704604	+	2.16855i	−0.138184	+	0.425287i
$27$	−4.71573	+	2.18217i	−0.907543	+	0.419959i
$28$	−1.56942	−	1.14025i	−0.296593	−	0.215487i
$29$	−5.15218	−	5.72208i	−0.956737	−	1.06256i	−0.997987	−	0.0634149i	$-0.979801\pi$
$29$	−5.15218	−	5.72208i	−0.956737	−	1.06256i	0.0412506	−	0.999149i	$-0.486866\pi$
$30$	1.11287	−	2.79330i	0.203182	−	0.509985i
$31$	5.96439	+	2.65552i	1.07124	+	0.476945i	0.865111	−	0.501581i	$-0.167248\pi$
$31$	5.96439	+	2.65552i	1.07124	+	0.476945i	0.206125	+	0.978526i	$0.433915\pi$
$32$	−2.72743	−	4.72404i	−0.482146	−	0.835101i
$33$	4.89586	+	3.00508i	0.852260	+	0.523118i
$34$	0.0907715	−	0.157221i	0.0155672	−	0.0269632i
$35$	2.83004	−	2.05614i	0.478363	−	0.347551i
$36$	−4.26433	−	2.60759i	−0.710721	−	0.434598i
$37$	−1.92922	+	5.93753i	−0.317162	+	0.976124i	0.657694	+	0.753286i	$0.271532\pi$
$37$	−1.92922	+	5.93753i	−0.317162	+	0.976124i	−0.974855	+	0.222838i	$0.928468\pi$
$38$	3.36160	−	1.49668i	0.545324	−	0.242794i
$39$	−4.89363	+	4.77171i	−0.783607	+	0.764085i
$40$	6.22531	−	1.32323i	0.984308	−	0.209221i
$41$	3.88703	−	4.31698i	0.607052	−	0.674199i	−0.358764	−	0.933428i	$-0.616802\pi$
$41$	3.88703	−	4.31698i	0.607052	−	0.674199i	0.965816	+	0.259229i	$0.0834685\pi$
$42$	0.515876	+	1.04484i	0.0796014	+	0.161222i
$43$	3.39229	−	5.87562i	0.517320	−	0.896024i	−0.482478	−	0.875908i	$-0.660263\pi$
$43$	3.39229	−	5.87562i	0.517320	−	0.896024i	0.999798	−	0.0201157i	$-0.00640347\pi$
$44$	0.210303	+	5.52194i	0.0317043	+	0.832463i
$45$	6.84817	−	5.86020i	1.02086	−	0.873587i
$46$	0.0399679	−	0.0290384i	0.00589294	−	0.00428147i
$47$	0.320574	+	0.0681401i	0.0467605	+	0.00993925i	0.231233	−	0.972899i	$-0.425724\pi$
$47$	0.320574	+	0.0681401i	0.0467605	+	0.00993925i	−0.184472	+	0.982838i	$0.559058\pi$
$48$	−0.145103	−	3.64874i	−0.0209438	−	0.526650i
$49$	0.589996	−	5.61344i	0.0842852	−	0.801920i
$50$	−0.243197	+	2.31387i	−0.0343933	+	0.327230i
$51$	0.460101	−	0.290609i	0.0644271	−	0.0406935i
$52$	−6.43117	−	1.36699i	−0.891843	−	0.189567i
$53$	1.96000	−	1.42402i	0.269227	−	0.195605i	−0.444978	−	0.895541i	$-0.646789\pi$
$53$	1.96000	−	1.42402i	0.269227	−	0.195605i	0.714205	+	0.699937i	$0.246789\pi$
$54$	1.53880	+	2.57808i	0.209404	+	0.350832i
$55$	−9.58718	−	2.71632i	−1.29274	−	0.366269i
$56$	−1.23321	+	2.13598i	−0.164795	+	0.285433i
$57$	11.0071	+	0.716169i	1.45793	+	0.0948590i
$58$	−2.97699	+	3.30629i	−0.390899	+	0.434137i
$59$	2.24586	−	0.477372i	0.292386	−	0.0621485i	−0.0593835	−	0.998235i	$-0.518913\pi$
$59$	2.24586	−	0.477372i	0.292386	−	0.0621485i	0.351769	+	0.936087i	$0.385580\pi$
$60$	8.34586	+	2.34948i	1.07745	+	0.303316i
$61$	−12.5039	+	5.56709i	−1.60096	+	0.712792i	−0.996480	−	0.0838297i	$-0.973285\pi$
$61$	−12.5039	+	5.56709i	−1.60096	+	0.712792i	−0.604478	+	0.796622i	$0.706618\pi$
$62$	1.16575	−	3.58780i	0.148050	−	0.455652i
$63$	−0.0881031	+	3.49185i	−0.0110999	+	0.439932i
$64$	0.861321	−	0.625787i	0.107665	−	0.0782233i
$65$	5.92799	−	10.2676i	0.735277	−	1.27354i
$66$	1.43116	−	2.99489i	0.176164	−	0.368646i
$67$	−5.83989	−	10.1150i	−0.713456	−	1.23574i	−0.963552	−	0.267521i	$-0.913795\pi$
$67$	−5.83989	−	10.1150i	−0.713456	−	1.23574i	0.250096	−	0.968221i	$-0.419538\pi$
$68$	0.478226	+	0.212920i	0.0579934	+	0.0258203i
$69$	0.146548	−	0.0213198i	0.0176423	−	0.00256661i
$70$	−1.35248	−	1.50208i	−0.161653	−	0.179533i
$71$	−7.05272	−	5.12410i	−0.837004	−	0.608119i	0.0845279	−	0.996421i	$-0.473062\pi$
$71$	−7.05272	−	5.12410i	−0.837004	−	0.608119i	−0.921532	+	0.388302i	$0.873062\pi$
$72$	−2.73043	+	5.73855i	−0.321784	+	0.676294i
$73$	0.910538	−	2.80235i	0.106570	−	0.327990i	−0.883525	−	0.468383i	$-0.844837\pi$
$73$	0.910538	−	2.80235i	0.106570	−	0.327990i	0.990096	+	0.140393i	$0.0448367\pi$
$74$	3.52850	+	0.750007i	0.410180	+	0.0871865i
$75$	−3.87192	+	5.80073i	−0.447091	+	0.669810i
$76$	5.30529	+	9.18904i	0.608559	+	1.05405i
$77$	3.26835	−	2.05668i	0.372463	−	0.234381i
$78$	3.03761	+	2.52391i	0.343942	+	0.285776i
$79$	0.928965	+	8.83851i	0.104517	+	0.994410i	0.913572	+	0.406677i	$0.133313\pi$
$79$	0.928965	+	8.83851i	0.104517	+	0.994410i	−0.809055	+	0.587733i	$0.800021\pi$
$80$	1.95735	+	6.02412i	0.218839	+	0.673517i
$81$	0.488175	+	8.98675i	0.0542417	+	0.998528i
$82$	−2.71551	−	1.97293i	−0.299878	−	0.217874i
$83$	4.52916	−	2.01651i	0.497140	−	0.221341i	−0.142821	−	0.989749i	$-0.545617\pi$
$83$	4.52916	−	2.01651i	0.497140	−	0.221341i	0.639961	+	0.768408i	$0.278951\pi$
$84$	−2.84081	+	1.79431i	−0.309958	+	0.195776i
$85$	−0.631634	+	0.701501i	−0.0685104	+	0.0760885i
$86$	−3.58129	−	1.59449i	−0.386181	−	0.171939i
$87$	−12.5100	+	4.62195i	−1.34121	+	0.495525i
$88$	6.95423	−	0.999772i	0.741323	−	0.106576i
$89$	2.12862			0.225634			0.112817	−	0.993616i	$-0.464013\pi$
$89$	2.12862			0.225634			0.112817	+	0.993616i	$0.464013\pi$
$90$	−3.78116	−	3.58133i	−0.398569	−	0.377506i
$91$	1.41981	+	4.36973i	0.148837	+	0.458072i
$92$	0.0953208	+	0.105864i	0.00993788	+	0.0110371i
$93$	8.09637	−	7.89467i	0.839555	−	0.818639i
$94$	0.0197945	−	0.188332i	0.00204165	−	0.0194250i
$95$	−18.7153	+	3.97805i	−1.92014	+	0.408139i
$96$	−9.34966	+	1.36019i	−0.954246	+	0.138824i
$97$	0.00928623	+	0.0883526i	0.000942874	+	0.00897084i	0.994983	−	0.100042i	$-0.0318977\pi$
$97$	0.00928623	+	0.0883526i	0.000942874	+	0.00897084i	−0.994040	+	0.109013i	$0.965231\pi$
$98$	−3.26138			−0.329449
$99$	7.97386	−	5.95127i	0.801403	−	0.598125i
$100$	−6.70883			−0.670883
$101$	0.214961	+	2.04522i	0.0213894	+	0.203507i	0.999998	−	0.00222652i	$-0.000708725\pi$
$101$	0.214961	+	2.04522i	0.0213894	+	0.203507i	−0.978608	+	0.205733i	$0.934042\pi$
$102$	−0.194787	−	0.246844i	−0.0192868	−	0.0244412i
$103$	2.95079	−	0.627210i	0.290750	−	0.0618009i	−0.0602275	−	0.998185i	$-0.519183\pi$
$103$	2.95079	−	0.627210i	0.290750	−	0.0618009i	0.350978	+	0.936384i	$0.385849\pi$
$104$	−0.873787	+	8.31352i	−0.0856818	+	0.815208i
$105$	−1.49422	−	5.87178i	−0.145821	−	0.573027i
$106$	−0.936690	−	1.04030i	−0.0909794	−	0.101043i
$107$	3.70600	+	11.4059i	0.358272	+	1.10265i	0.954088	+	0.299527i	$0.0968290\pi$
$107$	3.70600	+	11.4059i	0.358272	+	1.10265i	−0.595815	+	0.803121i	$0.703171\pi$
$108$	−6.92942	+	5.18991i	−0.666784	+	0.499399i
$109$	5.20013			0.498082			0.249041	−	0.968493i	$-0.419885\pi$
$109$	5.20013			0.498082			0.249041	+	0.968493i	$0.419885\pi$
$110$	−0.981882	+	5.67330i	−0.0936187	+	0.540928i
$111$	8.31705	+	6.91051i	0.789420	+	0.655916i
$112$	−2.24248	−	0.998415i	−0.211894	−	0.0943414i
$113$	12.8657	−	14.2889i	1.21031	−	1.34418i	0.288046	−	0.957617i	$-0.406995\pi$
$113$	12.8657	−	14.2889i	1.21031	−	1.34418i	0.922262	−	0.386566i	$-0.126339\pi$
$114$	−0.253260	−	6.36845i	−0.0237200	−	0.596460i
$115$	−0.234671	+	0.104482i	−0.0218832	+	0.00974301i
$116$	−10.3788	−	7.54065i	−0.963649	−	0.700132i
$117$	4.54084	+	10.9330i	0.419801	+	1.01076i
$118$	−0.409965	−	1.26174i	−0.0377403	−	0.116153i
$119$	−0.0382384	−	0.363814i	−0.00350531	−	0.0333508i
$120$	1.86163	−	10.8651i	0.169943	−	0.991844i
$121$	−10.3602	−	3.69682i	−0.941835	−	0.336074i
$122$	3.95432	+	6.84907i	0.358007	+	0.620086i
$123$	−4.45444	−	9.02185i	−0.401643	−	0.813473i
$124$	10.6402	+	2.26164i	0.955518	+	0.203102i
$125$	−0.903736	+	2.78141i	−0.0808326	+	0.248777i
$126$	2.01190	−	0.160272i	0.179234	−	0.0142782i
$127$	10.6652	+	7.74873i	0.946384	+	0.687588i	0.949949	−	0.312405i	$-0.101135\pi$
$127$	10.6652	+	7.74873i	0.946384	+	0.687588i	−0.00356461	+	0.999994i	$0.501135\pi$
$128$	−7.71165	−	8.56465i	−0.681620	−	0.757015i
$129$	−7.27952	−	9.22498i	−0.640926	−	0.812214i
$130$	−6.25827	−	2.78636i	−0.548887	−	0.244380i
$131$	8.98588	+	15.5640i	0.785100	+	1.35983i	0.928939	+	0.370233i	$0.120722\pi$
$131$	8.98588	+	15.5640i	0.785100	+	1.35983i	−0.143839	+	0.989601i	$0.545945\pi$
$132$	9.01989	+	3.20149i	0.785081	+	0.278654i
$133$	3.70742	−	6.42144i	0.321474	−	0.556810i
$134$	−5.45983	+	3.96680i	−0.471657	+	0.342679i
$135$	−5.03930	−	14.7758i	−0.433713	−	1.27170i
$136$	0.205670	−	0.632986i	0.0176360	−	0.0542781i
$137$	−14.9837	+	6.67119i	−1.28015	+	0.569958i	−0.930283	−	0.366842i	$-0.880439\pi$
$137$	−14.9837	+	6.67119i	−1.28015	+	0.569958i	−0.349864	+	0.936801i	$0.613772\pi$
$138$	−0.0211026	−	0.0829256i	−0.00179637	−	0.00705910i
$139$	11.6415	−	2.47448i	0.987421	−	0.209883i	0.314226	−	0.949348i	$-0.398255\pi$
$139$	11.6415	−	2.47448i	0.987421	−	0.209883i	0.673195	+	0.739465i	$0.264922\pi$
$140$	3.89991	−	4.33129i	0.329603	−	0.366061i
$141$	0.315147	−	0.472138i	0.0265402	−	0.0397612i
$142$	−2.51858	+	4.36231i	−0.211355	+	0.366077i
$143$	7.28438	−	10.8735i	0.609150	−	0.909287i
$144$	−5.96403	−	2.10557i	−0.497002	−	0.175464i
$145$	18.7154	−	13.5976i	1.55423	−	1.12922i
$146$	−1.66535	−	0.353982i	−0.137826	−	0.0292958i
$147$	−8.65409	−	4.54787i	−0.713777	−	0.375102i
$148$	−1.08729	+	10.3448i	−0.0893744	+	0.850340i
$149$	0.473693	−	4.50689i	0.0388065	−	0.369219i	−0.957834	−	0.287321i	$-0.907235\pi$
$149$	0.473693	−	4.50689i	0.0388065	−	0.369219i	0.996641	−	0.0818976i	$-0.0260980\pi$
$150$	3.56722	+	1.87464i	0.291263	+	0.153063i
$151$	2.86682	+	0.609361i	0.233298	+	0.0495891i	0.323077	−	0.946373i	$-0.395283\pi$
$151$	2.86682	+	0.609361i	0.233298	+	0.0495891i	−0.0897788	+	0.995962i	$0.528616\pi$
$152$	10.9140	−	7.92945i	0.885239	−	0.643164i
$153$	−0.172654	−	0.926624i	−0.0139583	−	0.0749131i
$154$	−1.37927	−	1.75393i	−0.111144	−	0.141336i
$155$	−9.80771	+	16.9874i	−0.787774	+	1.36446i
$156$	−6.32230	+	9.47177i	−0.506189	+	0.758348i
$157$	−12.0802	+	13.4165i	−0.964108	+	1.07075i	0.0333460	+	0.999444i	$0.489384\pi$
$157$	−12.0802	+	13.4165i	−0.964108	+	1.07075i	−0.997454	+	0.0713070i	$0.977283\pi$
$158$	5.02291	−	1.06765i	0.399602	−	0.0849379i
$159$	−1.03486	−	4.06662i	−0.0820694	−	0.322504i
$160$	14.9718	−	6.66589i	1.18363	−	0.526985i
$161$	0.0307625	−	0.0946773i	0.00242443	−	0.00746161i
$162$	5.13472	−	0.823308i	0.403422	−	0.0646852i
$163$	4.71129	−	3.42295i	0.369017	−	0.268106i	−0.387786	−	0.921749i	$-0.626760\pi$
$163$	4.71129	−	3.42295i	0.369017	−	0.268106i	0.756803	+	0.653643i	$0.226760\pi$
$164$	4.83934	−	8.38199i	0.377889	−	0.654523i
$165$	−10.5166	+	13.6849i	−0.818719	+	1.06537i
$166$	−1.43233	−	2.48087i	−0.111171	−	0.192553i
$167$	−4.58758	−	2.04252i	−0.354997	−	0.158055i	0.221487	−	0.975163i	$-0.428909\pi$
$167$	−4.58758	−	2.04252i	−0.354997	−	0.158055i	−0.576484	+	0.817108i	$0.695576\pi$
$168$	2.64635	+	3.35359i	0.204170	+	0.258735i
$169$	1.72118	+	1.91157i	0.132399	+	0.147044i
$170$	0.441265	+	0.320598i	0.0338435	+	0.0245887i
$171$	8.20853	−	17.2519i	0.627722	−	1.31928i
$172$	3.49313	−	10.7508i	0.266349	−	0.819738i
$173$	15.2492	+	3.24131i	1.15937	+	0.246433i	0.747153	−	0.664652i	$-0.231420\pi$
$173$	15.2492	+	3.24131i	1.15937	+	0.246433i	0.412221	+	0.911084i	$0.364753\pi$
$174$	3.41156	+	6.90966i	0.258630	+	0.523820i
$175$	2.34412	+	4.06013i	0.177199	+	0.306917i
$176$	1.71303	+	6.77925i	0.129124	+	0.511005i
$177$	0.671606	−	3.91972i	0.0504810	−	0.294624i
$178$	−0.128564	−	1.22321i	−0.00963629	−	0.0916832i
$179$	2.17822	+	6.70387i	0.162808	+	0.501071i	0.998868	−	0.0475668i	$-0.0151467\pi$
$179$	2.17822	+	6.70387i	0.162808	+	0.501071i	−0.836060	+	0.548638i	$0.815147\pi$
$180$	9.13060	−	11.9228i	0.680555	−	0.888671i
$181$	−2.02068	−	1.46811i	−0.150196	−	0.109124i	0.510149	−	0.860086i	$-0.329590\pi$
$181$	−2.02068	−	1.46811i	−0.150196	−	0.109124i	−0.660345	+	0.750962i	$0.729590\pi$
$182$	2.42530	−	1.07981i	0.179775	−	0.0800410i
$183$	0.942032	+	23.6882i	0.0696370	+	1.75108i
$184$	0.121192	−	0.134597i	0.00893437	−	0.00992262i
$185$	−17.1353	−	7.62912i	−1.25981	−	0.560904i
$186$	−5.02565	−	4.17573i	−0.368499	−	0.306180i
$187$	−0.747298	+	0.726235i	−0.0546479	+	0.0531076i
$188$	0.546051			0.0398249
$189$	5.56209	+	2.38024i	0.404582	+	0.173137i
$190$	3.41633	+	10.5144i	0.247847	+	0.762795i
$191$	−7.91112	−	8.78619i	−0.572428	−	0.635746i	0.385516	−	0.922701i	$-0.374024\pi$
$191$	−7.91112	−	8.78619i	−0.572428	−	0.635746i	−0.957944	+	0.286955i	$0.907357\pi$
$192$	−0.454767	−	1.78707i	−0.0328200	−	0.128971i
$193$	−0.705218	+	6.70970i	−0.0507627	+	0.482975i	0.939376	+	0.342887i	$0.111405\pi$
$193$	−0.705218	+	6.70970i	−0.0507627	+	0.482975i	−0.990139	+	0.140087i	$0.955262\pi$
$194$	0.0502106	−	0.0106726i	0.00360491	−	0.000766248i
$195$	−12.7209	−	16.1206i	−0.910962	−	1.15442i
$196$	−0.983012	−	9.35274i	−0.0702152	−	0.668053i
$197$	−20.6474			−1.47107			−0.735534	−	0.677488i	$-0.763069\pi$
$197$	−20.6474			−1.47107			−0.735534	+	0.677488i	$0.763069\pi$
$198$	−3.90148	−	4.22271i	−0.277266	−	0.300095i
$199$	−13.2862			−0.941832			−0.470916	−	0.882178i	$-0.656077\pi$
$199$	−13.2862			−0.941832			−0.470916	+	0.882178i	$0.656077\pi$
$200$	0.891593	+	8.48294i	0.0630451	+	0.599834i
$201$	−20.0192	+	2.91240i	−1.41205	+	0.205425i
$202$	1.16229	−	0.247053i	0.0817788	−	0.0173826i
$203$	−0.937103	+	8.91594i	−0.0657718	+	0.625777i
$204$	0.649169	−	0.632996i	0.0454509	−	0.0443186i
$205$	11.6783	+	12.9701i	0.815647	+	0.905868i
$206$	−0.538646	−	1.65778i	−0.0375292	−	0.115503i
$207$	0.0596408	−	0.249470i	0.00414532	−	0.0173394i
$208$	−8.31958			−0.576859
$209$	−20.9066	+	3.00563i	−1.44614	+	0.207904i
$210$	−3.28395	+	1.21329i	−0.226614	+	0.0837252i
$211$	−7.62355	−	3.39422i	−0.524827	−	0.233668i	0.127182	−	0.991879i	$-0.459407\pi$
$211$	−7.62355	−	3.39422i	−0.524827	−	0.233668i	−0.652009	+	0.758211i	$0.726074\pi$
$212$	2.70097	−	2.99973i	0.185503	−	0.206022i
$213$	−12.7661	+	8.06335i	−0.874722	+	0.552492i
$214$	6.33052	−	2.81853i	0.432746	−	0.192671i
$215$	16.4908	+	11.9813i	1.12467	+	0.817117i
$216$	7.48326	+	8.07213i	0.509171	+	0.549239i
$217$	−2.34904	−	7.22960i	−0.159463	−	0.490778i
$218$	−0.314076	−	2.98824i	−0.0212719	−	0.202389i
$219$	−3.92541	−	3.26156i	−0.265255	−	0.220396i
$220$	−16.5654	−	1.10578i	−1.11684	−	0.0745514i
$221$	−0.619925	−	1.07374i	−0.0417007	−	0.0722277i
$222$	3.46877	−	5.19675i	0.232809	−	0.348783i
$223$	0.375272	+	0.0797665i	0.0251301	+	0.00534156i	0.220460	−	0.975396i	$-0.429244\pi$
$223$	0.375272	+	0.0797665i	0.0251301	+	0.00534156i	−0.195330	+	0.980738i	$0.562578\pi$
$224$	−1.96263	+	6.04035i	−0.131134	+	0.403588i
$225$	6.85155	+	9.94871i	0.456770	+	0.663248i
$226$	−8.98811	−	6.53024i	−0.597880	−	0.434385i
$227$	12.0537	+	13.3870i	0.800035	+	0.888529i	0.995747	−	0.0921329i	$-0.0293685\pi$
$227$	12.0537	+	13.3870i	0.800035	+	0.888529i	−0.195712	+	0.980661i	$0.562702\pi$
$228$	18.1866	−	2.64580i	1.20444	−	0.175222i
$229$	12.2670	+	5.46161i	0.810624	+	0.360913i	0.769826	−	0.638254i	$-0.220343\pi$
$229$	12.2670	+	5.46161i	0.810624	+	0.360913i	0.0407985	+	0.999167i	$0.487010\pi$
$230$	0.0742139	+	0.128542i	0.00489352	+	0.00847583i
$231$	−1.21411	−	6.57739i	−0.0798824	−	0.432761i
$232$	−8.15540	+	14.1256i	−0.535428	+	0.927389i
$233$	2.72611	−	1.98063i	0.178593	−	0.129756i	−0.494897	−	0.868952i	$-0.664794\pi$
$233$	2.72611	−	1.98063i	0.178593	−	0.129756i	0.673490	+	0.739196i	$0.264794\pi$
$234$	6.00838	−	3.26971i	0.392780	−	0.213748i
$235$	−0.304276	+	0.936466i	−0.0198488	+	0.0610883i
$236$	3.49476	−	1.55597i	0.227490	−	0.101285i
$237$	14.8171	+	4.17123i	0.962476	+	0.270951i
$238$	−0.206755	+	0.0439472i	−0.0134020	+	0.00284867i
$239$	−15.5217	+	17.2386i	−1.00401	+	1.11507i	−0.0106638	+	0.999943i	$0.503394\pi$
$239$	−15.5217	+	17.2386i	−1.00401	+	1.11507i	−0.993351	+	0.115128i	$0.963272\pi$
$240$	10.9479	+	0.712317i	0.706683	+	0.0459799i
$241$	−7.58206	+	13.1325i	−0.488404	+	0.845940i	−0.999911	−	0.0133389i	$-0.995754\pi$
$241$	−7.58206	+	13.1325i	−0.488404	+	0.845940i	0.511507	+	0.859279i	$0.329087\pi$
$242$	−1.49863	+	6.17673i	−0.0963358	+	0.397055i
$243$	14.7731	+	4.97552i	0.947694	+	0.319180i
$244$	−18.4494	+	13.4043i	−1.18110	+	0.858120i
$245$	16.5875	+	3.52578i	1.05974	+	0.225254i
$246$	−4.91534	+	3.10463i	−0.313391	+	0.197944i
$247$	2.62688	−	24.9931i	0.167144	−	1.59027i
$248$	1.44566	−	13.7545i	0.0917993	−	0.873412i
$249$	−0.341223	−	8.58035i	−0.0216241	−	0.543758i
$250$	1.65291	+	0.351338i	0.104539	+	0.0222205i
$251$	0.471095	−	0.342271i	0.0297353	−	0.0216039i	−0.572818	−	0.819682i	$-0.694150\pi$
$251$	0.471095	−	0.342271i	0.0297353	−	0.0216039i	0.602554	+	0.798078i	$0.294150\pi$
$252$	1.06602	+	5.72127i	0.0671531	+	0.360406i
$253$	−0.266163	+	0.0978289i	−0.0167335	+	0.00615045i
$254$	3.80863	−	6.59673i	0.238974	−	0.413916i
$255$	0.723838	+	1.46603i	0.0453285	+	0.0918066i
$256$	−3.03110	+	3.36638i	−0.189444	+	0.210399i
$257$	10.7317	−	2.28109i	0.669423	−	0.142290i	0.139351	−	0.990243i	$-0.455498\pi$
$257$	10.7317	−	2.28109i	0.669423	−	0.142290i	0.530072	+	0.847953i	$0.322165\pi$
$258$	−4.86144	+	4.74032i	−0.302660	+	0.295120i
$259$	6.64052	−	2.95655i	0.412622	−	0.183711i
$260$	6.10421	−	18.7868i	0.378567	−	1.16511i
$261$	−0.582638	+	23.0921i	−0.0360644	+	1.42937i
$262$	8.40108	−	6.10374i	0.519020	−	0.377090i
$263$	7.19768	−	12.4668i	0.443828	−	0.768733i	−0.554142	−	0.832422i	$-0.686953\pi$
$263$	7.19768	−	12.4668i	0.443828	−	0.768733i	0.997970	+	0.0636896i	$0.0202868\pi$
$264$	2.84937	−	11.8306i	0.175367	−	0.728124i
$265$	3.63940	+	6.30363i	0.223567	+	0.387229i
$266$	−3.91398	−	1.74262i	−0.239982	−	0.106847i
$267$	1.36457	−	3.42506i	0.0835102	−	0.209611i
$268$	−13.0213	−	14.4617i	−0.795404	−	0.883386i
$269$	−0.395590	−	0.287413i	−0.0241195	−	0.0175239i	0.575660	−	0.817689i	$-0.304745\pi$
$269$	−0.395590	−	0.287413i	−0.0241195	−	0.0175239i	−0.599780	+	0.800165i	$0.704745\pi$
$270$	−8.18649	+	3.78824i	−0.498214	+	0.230545i
$271$	6.77950	−	20.8652i	0.411825	−	1.26747i	−0.503234	−	0.864150i	$-0.667857\pi$
$271$	6.77950	−	20.8652i	0.411825	−	1.26747i	0.915060	−	0.403318i	$-0.132143\pi$
$272$	0.647922	+	0.137720i	0.0392861	+	0.00835051i
$273$	7.94130	+	0.516695i	0.480629	+	0.0312718i
$274$	4.73856	+	8.20743i	0.286267	+	0.495829i
$275$	4.96360	−	12.3980i	0.299316	−	0.747627i
$276$	0.231447	−	0.0855109i	0.0139315	−	0.00514715i
$277$	−0.299947	−	2.85381i	−0.0180221	−	0.171469i	0.981809	−	0.189874i	$-0.0608078\pi$
$277$	−0.299947	−	2.85381i	−0.0180221	−	0.171469i	−0.999831	+	0.0184051i	$0.994141\pi$
$278$	−2.12508	−	6.54031i	−0.127454	−	0.392262i
$279$	−7.51270	−	18.0884i	−0.449773	−	1.08292i
$280$	−5.99497	−	4.35560i	−0.358268	−	0.260297i
$281$	16.6065	−	7.39368i	0.990660	−	0.441070i	0.153571	−	0.988138i	$-0.450922\pi$
$281$	16.6065	−	7.39368i	0.990660	−	0.441070i	0.837089	+	0.547067i	$0.184256\pi$
$282$	−0.290347	−	0.152582i	−0.0172899	−	0.00908613i
$283$	−13.7420	+	15.2620i	−0.816878	+	0.907235i	−0.997078	−	0.0763955i	$-0.975659\pi$
$283$	−13.7420	+	15.2620i	−0.816878	+	0.907235i	0.180200	+	0.983630i	$0.442326\pi$
$284$	−13.2690	−	5.90775i	−0.787372	−	0.350561i
$285$	−5.59665	+	32.6640i	−0.331517	+	1.93485i
$286$	−6.68838	−	3.52921i	−0.395492	−	0.208686i
$287$	−6.76362			−0.399244
$288$	−3.80505	+	15.9160i	−0.224214	+	0.937862i
$289$	−5.22278	−	16.0741i	−0.307223	−	0.945534i
$290$	−8.94417	−	9.93350i	−0.525219	−	0.583315i
$291$	0.148117	+	0.0416970i	0.00868276	+	0.00244432i
$292$	0.513168	−	4.88247i	0.0300309	−	0.285725i
$293$	−0.841272	+	0.178818i	−0.0491476	+	0.0104467i	−0.232420	−	0.972616i	$-0.574664\pi$
$293$	−0.841272	+	0.178818i	−0.0491476	+	0.0104467i	0.183272	+	0.983062i	$0.441331\pi$
$294$	−2.09073	+	5.24773i	−0.121934	+	0.306054i
$295$	0.721065	+	6.86047i	0.0419820	+	0.399432i
$296$	13.2250			0.768685
$297$	−4.46420	−	16.6454i	−0.259039	−	0.965867i
$298$	−2.61848			−0.151684
$299$	−0.0352677	−	0.335550i	−0.00203959	−	0.0194054i
$300$	−4.30074	+	10.7949i	−0.248303	+	0.623241i
$301$	−7.72681	+	1.64238i	−0.445366	+	0.0946654i
$302$	0.177018	−	1.68421i	0.0101862	−	0.0969155i
$303$	3.42866	+	0.965217i	0.196972	+	0.0554503i
$304$	8.98392	+	9.97766i	0.515263	+	0.572258i
$305$	−12.7075	−	39.1095i	−0.727627	−	2.23941i
$306$	−0.522053	+	0.155181i	−0.0298438	+	0.00887112i
$307$	3.48920			0.199139			0.0995696	−	0.995031i	$-0.468253\pi$
$307$	3.48920			0.199139			0.0995696	+	0.995031i	$0.468253\pi$
$308$	4.61406	−	4.48401i	0.262910	−	0.255500i
$309$	0.882412	−	5.15005i	0.0501986	−	0.292976i
$310$	10.3541	+	4.60996i	0.588076	+	0.261828i
$311$	7.25692	−	8.05963i	0.411502	−	0.457020i	−0.501389	−	0.865222i	$-0.667178\pi$
$311$	7.25692	−	8.05963i	0.411502	−	0.457020i	0.912892	+	0.408202i	$0.133844\pi$
$312$	12.8167	+	6.73541i	0.725605	+	0.381317i
$313$	−25.8360	+	11.5029i	−1.46034	+	0.650185i	−0.974607	−	0.223923i	$-0.928114\pi$
$313$	−25.8360	+	11.5029i	−1.46034	+	0.650185i	−0.485732	+	0.874108i	$0.661447\pi$
$314$	8.43935	+	6.13155i	0.476260	+	0.346023i
$315$	−10.4059	−	1.35986i	−0.586304	−	0.0766193i
$316$	4.57569	+	14.0825i	0.257403	+	0.792204i
$317$	0.116291	+	1.10643i	0.00653154	+	0.0621434i	0.997302	−	0.0734057i	$-0.0233868\pi$
$317$	0.116291	+	1.10643i	0.00653154	+	0.0621434i	−0.990771	+	0.135549i	$0.956720\pi$
$318$	−2.27437	+	0.840291i	−0.127540	+	0.0471212i
$319$	21.6141	−	13.6011i	1.21016	−	0.761517i
$320$	1.59933	+	2.77013i	0.0894055	+	0.154855i
$321$	20.7284	+	1.34868i	1.15695	+	0.0752760i
$322$	−0.0562640	−	0.0119593i	−0.00313547	−	0.000666464i
$323$	−0.618308	+	1.90296i	−0.0344036	+	0.105883i
$324$	3.90868	+	14.4768i	0.217149	+	0.804268i
$325$	12.8550	+	9.33967i	0.713065	+	0.518072i
$326$	−2.25154	−	2.50059i	−0.124701	−	0.138495i
$327$	3.33358	−	8.36727i	0.184347	−	0.462711i
$328$	−11.2417	−	5.00512i	−0.620719	−	0.276362i
$329$	−0.190795	−	0.330466i	−0.0105188	−	0.0182192i
$330$	8.49919	+	5.21681i	0.467865	+	0.287176i
$331$	6.18915	−	10.7199i	0.340187	−	0.589221i	−0.644281	−	0.764789i	$-0.722843\pi$
$331$	6.18915	−	10.7199i	0.340187	−	0.589221i	0.984467	+	0.175569i	$0.0561764\pi$
$332$	6.68275	−	4.85530i	0.366763	−	0.266469i
$333$	16.4511	−	8.95254i	0.901513	−	0.490596i
$334$	−0.896648	+	2.75960i	−0.0490624	+	0.150999i
$335$	32.0573	−	14.2728i	1.75148	−	0.779807i
$336$	−3.04406	+	2.96822i	−0.166067	+	0.161930i
$337$	−13.1792	+	2.80132i	−0.717916	+	0.152598i	−0.552364	−	0.833603i	$-0.686274\pi$
$337$	−13.1792	+	2.80132i	−0.717916	+	0.152598i	−0.165552	+	0.986201i	$0.552941\pi$
$338$	0.994521	−	1.10453i	0.0540948	−	0.0600783i
$339$	−14.7438	−	29.8616i	−0.800775	−	1.62186i
$340$	−0.786384	+	1.36206i	−0.0426477	+	0.0738679i
$341$	−12.0518	+	17.9899i	−0.652642	+	0.974208i
$342$	−10.4095	−	3.67503i	−0.562882	−	0.198723i
$343$	−11.9104	+	8.65342i	−0.643102	+	0.467241i
$344$	−14.0580	−	2.98811i	−0.757955	−	0.161108i
$345$	0.0176799	+	0.444576i	0.000951853	+	0.0239352i
$346$	0.941593	−	8.95866i	0.0506204	−	0.481621i
$347$	−1.01802	+	9.68582i	−0.0546502	+	0.519962i	0.932614	+	0.360875i	$0.117522\pi$
$347$	−1.01802	+	9.68582i	−0.0546502	+	0.519962i	−0.987265	+	0.159087i	$0.949145\pi$
$348$	−18.7867	+	11.8661i	−1.00707	+	0.636088i
$349$	4.34317	+	0.923168i	0.232484	+	0.0494161i	0.322680	−	0.946508i	$-0.395416\pi$
$349$	4.34317	+	0.923168i	0.232484	+	0.0494161i	−0.0901962	+	0.995924i	$0.528749\pi$
$350$	2.19156	−	1.59226i	0.117144	−	0.0851100i
$351$	20.5027	−	0.297748i	1.09436	−	0.0158926i
$352$	16.9810	−	6.24142i	0.905090	−	0.332669i
$353$	−16.2618	+	28.1662i	−0.865527	+	1.49914i	0.000996749		1.00000i	$0.499683\pi$
$353$	−16.2618	+	28.1662i	−0.865527	+	1.49914i	−0.866523	+	0.499137i	$0.833651\pi$
$354$	−2.29302	−	0.149194i	−0.121873	−	0.00792956i
$355$	17.5256	−	19.4641i	0.930160	−	1.03305i
$356$	3.46907	−	0.737373i	0.183860	−	0.0390807i
$357$	−0.609909	−	0.171698i	−0.0322798	−	0.00908722i
$358$	3.72080	−	1.65661i	0.196650	−	0.0875543i
$359$	−8.58143	+	26.4109i	−0.452911	+	1.39392i	0.420660	+	0.907218i	$0.361799\pi$
$359$	−8.58143	+	26.4109i	−0.452911	+	1.39392i	−0.873571	+	0.486697i	$0.838201\pi$
$360$	−16.2891	−	9.96061i	−0.858512	−	0.524970i
$361$	−17.4395	+	12.6705i	−0.917868	+	0.666870i
$362$	−0.721600	+	1.24985i	−0.0379264	+	0.0656905i
$363$	−12.5898	+	14.3002i	−0.660795	+	0.750566i
$364$	3.82761	+	6.62962i	0.200621	+	0.347487i
$365$	8.08737	+	3.60073i	0.423312	+	0.188471i
$366$	13.5555	−	1.97205i	0.708555	−	0.103081i
$367$	0.784353	+	0.871112i	0.0409429	+	0.0454717i	0.763268	−	0.646082i	$-0.223593\pi$
$367$	0.784353	+	0.871112i	0.0409429	+	0.0454717i	−0.722326	+	0.691553i	$0.756927\pi$
$368$	0.145831	+	0.105952i	0.00760197	+	0.00552315i
$369$	−17.3722	+	1.38390i	−0.904359	+	0.0720430i
$370$	−3.34912	+	10.3075i	−0.174112	+	0.535862i
$371$	−2.75915	−	0.586475i	−0.143248	−	0.0304483i
$372$	10.4601	−	15.6708i	0.542330	−	0.812493i
$373$	−10.8834	−	18.8506i	−0.563520	−	0.976046i	−0.997186	−	0.0749719i	$-0.976113\pi$
$373$	−10.8834	−	18.8506i	−0.563520	−	0.976046i	0.433665	−	0.901074i	$-0.357220\pi$
$374$	0.462464	+	0.385570i	0.0239134	+	0.0199373i
$375$	3.89609	+	3.23720i	0.201193	+	0.167168i
$376$	−0.0725693	−	0.690451i	−0.00374248	−	0.0356073i
$377$	9.38942	+	28.8977i	0.483580	+	1.48831i
$378$	1.03186	−	3.34000i	0.0530730	−	0.171791i
$379$	13.1440	+	9.54967i	0.675161	+	0.490533i	0.871749	−	0.489953i	$-0.162986\pi$
$379$	13.1440	+	9.54967i	0.675161	+	0.490533i	−0.196588	+	0.980486i	$0.562986\pi$
$380$	−29.1227	+	12.9663i	−1.49396	+	0.665155i
$381$	19.3051	−	12.1935i	0.989031	−	0.624692i
$382$	−4.57114	+	5.07676i	−0.233880	+	0.259750i
$383$	5.65791	+	2.51906i	0.289105	+	0.128718i	0.546165	−	0.837677i	$-0.316087\pi$
$383$	5.65791	+	2.51906i	0.289105	+	0.128718i	−0.257060	+	0.966396i	$0.582754\pi$
$384$	−18.7246	+	6.91801i	−0.955534	+	0.353033i
$385$	5.11888	+	10.4116i	0.260882	+	0.530626i
$386$	3.89830			0.198418
$387$	−19.5100	+	5.79940i	−0.991752	+	0.294800i
$388$	0.0457401	+	0.140773i	0.00232210	+	0.00714669i
$389$	−0.483924	−	0.537452i	−0.0245359	−	0.0272499i	0.730752	−	0.682643i	$-0.239170\pi$
$389$	−0.483924	−	0.537452i	−0.0245359	−	0.0272499i	−0.755288	+	0.655393i	$0.772503\pi$
$390$	−8.49531	+	8.28367i	−0.430177	+	0.419460i
$391$	−0.00280798	+	0.0267162i	−0.000142006	+	0.00135110i
$392$	−11.6954	+	2.48593i	−0.590705	+	0.125558i
$393$	30.8037	−	4.48134i	1.55384	−	0.226054i
$394$	1.24706	+	11.8650i	0.0628259	+	0.597749i
$395$	−26.7009			−1.34347
$396$	10.9336	−	12.4611i	0.549435	−	0.626196i
$397$	4.08994			0.205268			0.102634	−	0.994719i	$-0.467273\pi$
$397$	4.08994			0.205268			0.102634	+	0.994719i	$0.467273\pi$
$398$	0.802456	+	7.63486i	0.0402235	+	0.382701i
$399$	−7.95577	−	10.0819i	−0.398286	−	0.504728i
$400$	−8.30361	+	1.76499i	−0.415180	+	0.0882493i
$401$	0.590196	−	5.61534i	0.0294730	−	0.280417i	−0.969852	−	0.243693i	$-0.921641\pi$
$401$	0.590196	−	5.61534i	0.0294730	−	0.280417i	0.999325	−	0.0367238i	$-0.0116922\pi$
$402$	2.88272	+	11.3281i	0.143777	+	0.564994i
$403$	−17.2394	−	19.1463i	−0.858757	−	0.953746i
$404$	1.05881	+	3.25868i	0.0526777	+	0.162125i
$405$	−27.0054	−	1.36362i	−1.34191	−	0.0677588i
$406$	5.18012			0.257085
$407$	−18.3129	−	9.66305i	−0.907738	−	0.478980i
$408$	−0.886662	−	0.736713i	−0.0438963	−	0.0364727i
$409$	8.63188	+	3.84316i	0.426819	+	0.190032i	0.608892	−	0.793253i	$-0.291614\pi$
$409$	8.63188	+	3.84316i	0.426819	+	0.190032i	−0.182073	+	0.983285i	$0.558281\pi$
$410$	6.74786	−	7.49426i	0.333253	−	0.370115i
$411$	1.12886	+	28.3862i	0.0556827	+	1.40019i
$412$	4.59171	−	2.04436i	0.226217	−	0.100718i
$413$	−2.16276	−	1.57134i	−0.106422	−	0.0773204i
$414$	−0.146960	−	0.0192049i	−0.00722267	−	0.000943871i
$415$	4.60290	+	14.1663i	0.225948	+	0.695395i
$416$	2.25006	+	21.4079i	0.110318	+	1.04961i
$417$	3.48131	−	20.3181i	0.170480	−	0.994981i
$418$	2.98989	+	11.8324i	0.146240	+	0.578741i
$419$	−0.0757820	−	0.131258i	−0.00370219	−	0.00641238i	0.864168	−	0.503203i	$-0.167845\pi$
$419$	−0.0757820	−	0.131258i	−0.00370219	−	0.00641238i	−0.867871	+	0.496790i	$0.834512\pi$
$420$	−4.46921	−	9.05176i	−0.218075	−	0.441681i
$421$	−16.6056	−	3.52962i	−0.809306	−	0.172023i	−0.215367	−	0.976533i	$-0.569095\pi$
$421$	−16.6056	−	3.52962i	−0.809306	−	0.172023i	−0.593939	+	0.804510i	$0.702428\pi$
$422$	−1.49003	+	4.58585i	−0.0725337	+	0.223236i
$423$	−0.557668	−	0.809755i	−0.0271147	−	0.0393716i
$424$	−4.15194	−	3.01656i	−0.201636	−	0.146497i
$425$	−0.846527	−	0.940164i	−0.0410626	−	0.0456047i
$426$	5.40463	+	6.84901i	0.261855	+	0.331836i
$427$	14.5585	+	6.48187i	0.704536	+	0.313680i
$428$	9.99085	+	17.3047i	0.482926	+	0.836453i
$429$	−12.8263	−	18.6915i	−0.619260	−	0.902432i
$430$	5.88900	−	10.2000i	0.283993	−	0.491890i
$431$	20.5242	−	14.9117i	0.988618	−	0.718273i	0.0289998	−	0.999579i	$-0.490768\pi$
$431$	20.5242	−	14.9117i	0.988618	−	0.718273i	0.959618	+	0.281307i	$0.0907678\pi$
$432$	−7.21125	+	8.24664i	−0.346952	+	0.396767i
$433$	5.10950	−	15.7254i	0.245547	−	0.755716i	−0.749999	−	0.661439i	$-0.769946\pi$
$433$	5.10950	−	15.7254i	0.245547	−	0.755716i	0.995546	−	0.0942769i	$-0.0300539\pi$
$434$	−4.01259	+	1.78652i	−0.192611	+	0.0857558i
$435$	−9.88152	−	38.8309i	−0.473783	−	1.86180i
$436$	8.47477	−	1.80137i	0.405868	−	0.0862699i
$437$	−0.364341	+	0.404641i	−0.0174288	+	0.0193566i
$438$	−1.63716	+	2.45272i	−0.0782266	+	0.117195i
$439$	19.6207	−	33.9840i	0.936443	−	1.62197i	0.164403	−	0.986393i	$-0.447430\pi$
$439$	19.6207	−	33.9840i	0.936443	−	1.62197i	0.772040	−	0.635574i	$-0.219237\pi$
$440$	0.803326	+	21.0930i	0.0382971	+	1.00557i
$441$	−12.8655	+	11.0094i	−0.612643	+	0.524259i
$442$	−0.579580	+	0.421089i	−0.0275678	+	0.0200292i
$443$	−31.4859	−	6.69254i	−1.49594	−	0.317972i	−0.613991	−	0.789313i	$-0.710437\pi$
$443$	−31.4859	−	6.69254i	−1.49594	−	0.317972i	−0.881951	+	0.471341i	$0.843770\pi$
$444$	15.9484	+	8.38112i	0.756876	+	0.397751i
$445$	−0.668490	+	6.36026i	−0.0316895	+	0.301505i
$446$	0.0231720	−	0.220466i	0.00109722	−	0.0104394i
$447$	−6.94815	−	3.65137i	−0.328636	−	0.172704i
$448$	−1.21251	−	0.257726i	−0.0572856	−	0.0121764i
$449$	20.9085	−	15.1909i	0.986731	−	0.716902i	0.0275281	−	0.999621i	$-0.491236\pi$
$449$	20.9085	−	15.1909i	0.986731	−	0.716902i	0.959203	+	0.282719i	$0.0912364\pi$
$450$	5.30318	−	4.53810i	0.249994	−	0.213928i
$451$	11.9096	+	15.1447i	0.560799	+	0.713134i
$452$	16.0178	−	27.7437i	0.753415	−	1.30495i
$453$	2.81829	−	4.22222i	0.132415	−	0.198377i
$454$	6.96480	−	7.73519i	0.326874	−	0.363030i
$455$	−13.5025	+	2.87005i	−0.633007	+	0.134550i
$456$	−5.76243	−	22.6443i	−0.269851	−	1.06042i
$457$	−11.6169	+	5.17218i	−0.543416	+	0.241944i	−0.660038	−	0.751232i	$-0.729460\pi$
$457$	−11.6169	+	5.17218i	−0.543416	+	0.241944i	0.116623	+	0.993176i	$0.462793\pi$
$458$	2.39760	−	7.37904i	0.112032	−	0.344800i
$459$	−1.60167	−	0.316209i	−0.0747594	−	0.0147594i
$460$	−0.346255	+	0.251569i	−0.0161442	+	0.0117295i
$461$	9.51087	−	16.4733i	0.442965	−	0.767238i	−0.554943	−	0.831889i	$-0.687260\pi$
$461$	9.51087	−	16.4733i	0.442965	−	0.767238i	0.997908	+	0.0646502i	$0.0205932\pi$
$462$	−3.70635	+	1.09494i	−0.172435	+	0.0509414i
$463$	11.4334	+	19.8032i	0.531353	+	0.920331i	0.999330	+	0.0365903i	$0.0116497\pi$
$463$	11.4334	+	19.8032i	0.531353	+	0.920331i	−0.467977	+	0.883741i	$0.655017\pi$
$464$	−14.8298	−	6.60266i	−0.688457	−	0.306521i
$465$	21.0464	+	26.6710i	0.976003	+	1.23684i
$466$	−1.30281	−	1.44692i	−0.0603517	−	0.0670274i
$467$	−12.8819	−	9.35921i	−0.596101	−	0.433093i	0.248392	−	0.968660i	$-0.420098\pi$
$467$	−12.8819	−	9.35921i	−0.596101	−	0.433093i	−0.844493	+	0.535567i	$0.820098\pi$
$468$	11.1876	+	16.2448i	0.517147	+	0.750918i
$469$	−4.20232	+	12.9334i	−0.194045	+	0.597210i
$470$	0.556515	+	0.118291i	0.0256701	+	0.00545635i
$471$	13.8437	+	28.0385i	0.637883	+	1.29194i
$472$	−2.43188	−	4.21215i	−0.111936	−	0.193880i
$473$	17.2831	+	14.4094i	0.794677	+	0.662545i
$474$	1.50206	−	8.76655i	0.0689920	−	0.402661i
$475$	−2.68041	−	25.5024i	−0.122986	−	1.17013i
$476$	−0.188347	−	0.579671i	−0.00863285	−	0.0265692i
$477$	−7.20680	−	0.941798i	−0.329977	−	0.0431220i
$478$	10.8436	+	7.87832i	0.495973	+	0.360346i
$479$	−14.9730	+	6.66640i	−0.684133	+	0.304596i	−0.719214	−	0.694789i	$-0.755498\pi$
$479$	−14.9730	+	6.66640i	−0.684133	+	0.304596i	0.0350809	+	0.999384i	$0.488831\pi$
$480$	−1.12797	−	28.3637i	−0.0514843	−	1.29462i
$481$	16.4849	−	18.3083i	0.751647	−	0.834788i
$482$	8.00450	+	3.56383i	0.364595	+	0.162328i
$483$	−0.132620	−	0.110192i	−0.00603442	−	0.00501391i
$484$	−18.1649	−	2.43594i	−0.825676	−	0.110724i
$485$	−0.266911			−0.0121198
$486$	1.96690	−	8.78982i	0.0892205	−	0.398714i
$487$	7.04142	+	21.6713i	0.319077	+	0.982019i	0.974044	+	0.226361i	$0.0726828\pi$
$487$	7.04142	+	21.6713i	0.319077	+	0.982019i	−0.654966	+	0.755658i	$0.727317\pi$
$488$	19.4008	+	21.5468i	0.878234	+	0.975378i
$489$	−2.48750	−	9.77501i	−0.112489	−	0.442041i
$490$	1.02423	−	9.74490i	0.0462700	−	0.440230i
$491$	42.6893	−	9.07389i	1.92654	−	0.409499i	0.927147	−	0.374698i	$-0.122253\pi$
$491$	42.6893	−	9.07389i	1.92654	−	0.409499i	0.999394	−	0.0348013i	$-0.0110798\pi$
$492$	−10.3848	−	13.1601i	−0.468181	−	0.593302i
$493$	−0.252876	−	2.40596i	−0.0113890	−	0.108359i
$494$	−14.5209			−0.653324
$495$	15.2780	+	25.6946i	0.686696	+	1.15489i
$496$	13.7645			0.618045
$497$	1.06098	+	10.0945i	0.0475914	+	0.452801i
$498$	−4.91006	+	0.714317i	−0.220025	+	0.0320093i
$499$	19.6642	−	4.17976i	0.880291	−	0.187112i	0.254472	−	0.967080i	$-0.418098\pi$
$499$	19.6642	−	4.17976i	0.880291	−	0.187112i	0.625819	+	0.779969i	$0.284765\pi$
$500$	−0.509335	+	4.84600i	−0.0227781	+	0.216720i
$501$	−6.22742	+	6.07227i	−0.278220	+	0.271289i
$502$	−0.225138	−	0.250041i	−0.0100484	−	0.0111599i
$503$	−3.27815	−	10.0891i	−0.146165	−	0.449850i	0.850994	−	0.525176i	$-0.176000\pi$
$503$	−3.27815	−	10.0891i	−0.146165	−	0.449850i	−0.997159	+	0.0753254i	$0.976000\pi$
$504$	7.09255	−	2.10827i	0.315927	−	0.0939100i
$505$	−6.17856			−0.274942
$506$	0.0722927	+	0.147041i	0.00321380	+	0.00653676i
$507$	4.17919	−	1.54405i	0.185604	−	0.0685736i
$508$	20.0656	+	8.93377i	0.890266	+	0.396372i
$509$	−29.7551	+	33.0464i	−1.31887	+	1.46476i	−0.533399	+	0.845864i	$0.679086\pi$
$509$	−29.7551	+	33.0464i	−1.31887	+	1.46476i	−0.785475	+	0.618894i	$0.787581\pi$
$510$	0.798734	−	0.504496i	0.0353685	−	0.0223395i
$511$	−3.13414	+	1.39541i	−0.138646	+	0.0617292i
$512$	−16.5301	−	12.0098i	−0.730534	−	0.530764i
$513$	−22.4970	−	24.2674i	−0.993268	−	1.07143i
$514$	−1.95899	−	6.02915i	−0.0864073	−	0.265934i
$515$	0.947394	+	9.01385i	0.0417472	+	0.397198i
$516$	−15.0592	−	12.5125i	−0.662946	−	0.550831i
$517$	−0.404002	+	1.00911i	−0.0177680	+	0.0443805i
$518$	−2.10004	−	3.63738i	−0.0922707	−	0.159817i
$519$	14.9910	−	22.4589i	0.658033	−	0.985834i
$520$	−24.5661	−	5.22169i	−1.07730	−	0.228986i
$521$	5.23819	−	16.1215i	0.229489	−	0.706296i	−0.768315	−	0.640071i	$-0.778905\pi$
$521$	5.23819	−	16.1215i	0.229489	−	0.706296i	0.997805	−	0.0662243i	$-0.0210953\pi$
$522$	13.3050	−	1.05990i	0.582344	−	0.0463906i
$523$	−24.4438	−	17.7595i	−1.06885	−	0.776567i	−0.0931472	−	0.995652i	$-0.529693\pi$
$523$	−24.4438	−	17.7595i	−1.06885	−	0.776567i	−0.975706	+	0.219085i	$0.929693\pi$
$524$	20.0360	+	22.2523i	0.875277	+	0.972094i
$525$	8.03567	−	1.16903i	0.350706	−	0.0510207i
$526$	−7.59870	−	3.38316i	−0.331319	−	0.147513i
$527$	1.02565	+	1.77648i	0.0446780	+	0.0773845i
$528$	12.0063	+	1.58953i	0.522507	+	0.0691755i
$529$	11.4963	−	19.9123i	0.499841	−	0.865750i
$530$	3.40255	−	2.47210i	0.147797	−	0.107381i
$531$	−5.87650	−	3.59341i	−0.255018	−	0.155941i
$532$	3.81763	−	11.7495i	0.165515	−	0.509404i
$533$	−20.9417	+	9.32386i	−0.907087	+	0.403861i
$534$	−2.05062	−	0.577278i	−0.0887390	−	0.0249813i
$535$	−35.2443	+	7.49141i	−1.52374	+	0.323882i
$536$	−16.5554	+	18.3867i	−0.715086	+	0.794183i
$537$	12.1832	+	0.792694i	0.525745	+	0.0342073i
$538$	−0.141268	+	0.244683i	−0.00609050	+	0.0105491i
$539$	18.0112	+	5.10310i	0.775799	+	0.219806i
$540$	−13.3311	−	22.3348i	−0.573680	−	0.961136i
$541$	−9.57164	+	6.95421i	−0.411517	+	0.298985i	−0.774216	−	0.632922i	$-0.781855\pi$
$541$	−9.57164	+	6.95421i	−0.411517	+	0.298985i	0.362699	+	0.931906i	$0.381855\pi$
$542$	−12.3996	−	2.63561i	−0.532607	−	0.113209i
$543$	−3.65763	+	2.31024i	−0.156964	+	0.0991417i
$544$	0.179148	−	1.70447i	0.00768089	−	0.0730788i
$545$	−1.63309	+	15.5378i	−0.0699539	+	0.665567i
$546$	−0.182720	−	4.59465i	−0.00781969	−	0.196633i
$547$	−2.49018	−	0.529304i	−0.106472	−	0.0226314i	0.154367	−	0.988014i	$-0.450666\pi$
$547$	−2.49018	−	0.529304i	−0.106472	−	0.0226314i	−0.260840	+	0.965382i	$0.583999\pi$
$548$	−22.1084	+	16.0627i	−0.944424	+	0.686164i
$549$	38.7194	+	13.6697i	1.65251	+	0.583409i
$550$	−7.42425	−	2.10350i	−0.316571	−	0.0896937i
$551$	24.5177	−	42.4659i	1.04449	−	1.80911i
$552$	−0.138883	−	0.281288i	−0.00591124	−	0.0119724i
$553$	6.92386	−	7.68972i	0.294432	−	0.327000i
$554$	−1.62181	+	0.344727i	−0.0689043	+	0.0146461i
$555$	−23.2603	+	22.6809i	−0.987346	+	0.962749i
$556$	18.1153	−	8.06545i	0.768260	−	0.342051i
$557$	2.98987	−	9.20189i	0.126685	−	0.389896i	−0.867519	−	0.497404i	$-0.834287\pi$
$557$	2.98987	−	9.20189i	0.126685	−	0.389896i	0.994204	+	0.107507i	$0.0342868\pi$
$558$	−9.94070	+	5.40965i	−0.420823	+	0.229009i
$559$	−21.6599	+	15.7368i	−0.916117	+	0.665598i
$560$	3.68748	−	6.38690i	0.155824	−	0.269896i
$561$	0.689489	+	1.66800i	0.0291103	+	0.0704230i
$562$	−5.25175	−	9.09630i	−0.221532	−	0.383704i
$563$	−21.9134	−	9.75648i	−0.923540	−	0.411187i	−0.110820	−	0.993840i	$-0.535348\pi$
$563$	−21.9134	−	9.75648i	−0.923540	−	0.411187i	−0.812720	+	0.582654i	$0.802014\pi$
$564$	0.350050	−	0.878625i	0.0147398	−	0.0369968i
$565$	38.6542	+	42.9298i	1.62619	+	1.80607i
$566$	9.60027	+	6.97501i	0.403530	+	0.293181i
$567$	7.39553	−	7.42382i	0.310583	−	0.311771i
$568$	−5.70659	+	17.5631i	−0.239443	+	0.736930i
$569$	36.7971	+	7.82146i	1.54261	+	0.327893i	0.899169	−	0.437601i	$-0.144172\pi$
$569$	36.7971	+	7.82146i	1.54261	+	0.327893i	0.643444	+	0.765493i	$0.277505\pi$
$570$	19.1083	+	1.24327i	0.800357	+	0.0520747i
$571$	7.37740	+	12.7780i	0.308735	+	0.534744i	0.978086	−	0.208202i	$-0.0667612\pi$
$571$	7.37740	+	12.7780i	0.308735	+	0.534744i	−0.669351	+	0.742946i	$0.733428\pi$
$572$	8.10485	−	20.2442i	0.338881	−	0.846451i
$573$	−19.2089	+	7.09695i	−0.802463	+	0.296479i
$574$	0.408508	+	3.88669i	0.0170508	+	0.162227i
$575$	−0.106386	−	0.327424i	−0.00443662	−	0.0136545i
$576$	−3.16703	−	0.413873i	−0.131959	−	0.0172447i
$577$	18.0466	+	13.1116i	0.751289	+	0.545843i	0.896226	−	0.443598i	$-0.146298\pi$
$577$	18.0466	+	13.1116i	0.751289	+	0.545843i	−0.144937	+	0.989441i	$0.546298\pi$
$578$	−8.92147	+	3.97210i	−0.371084	+	0.165217i
$579$	10.3442	+	5.43603i	0.429889	+	0.225914i
$580$	25.7907	−	28.6435i	1.07090	−	1.18935i
$581$	−5.27339	−	2.34787i	−0.218777	−	0.0974059i
$582$	0.0150151	−	0.0876332i	0.000622396	−	0.00363251i
$583$	3.54519	+	7.21079i	0.146827	+	0.298640i
$584$	−6.24181			−0.258288
$585$	−34.0936	+	10.1344i	−1.40960	+	0.419005i
$586$	0.153568	+	0.472634i	0.00634384	+	0.0195243i
$587$	−1.67294	−	1.85799i	−0.0690496	−	0.0766873i	0.707630	−	0.706583i	$-0.249764\pi$
$587$	−1.67294	−	1.85799i	−0.0690496	−	0.0766873i	−0.776680	+	0.629896i	$0.783098\pi$
$588$	−15.6792	−	4.41392i	−0.646599	−	0.182027i
$589$	−4.34610	+	41.3504i	−0.179078	+	1.70381i
$590$	3.89880	−	0.828715i	0.160511	−	0.0341177i
$591$	−13.2362	+	33.2228i	−0.544463	+	1.36660i
$592$	1.37581	+	13.0900i	0.0565456	+	0.537995i
$593$	−10.8953			−0.447417			−0.223708	−	0.974656i	$-0.571816\pi$
$593$	−10.8953			−0.447417			−0.223708	+	0.974656i	$0.571816\pi$
$594$	−9.29562	+	3.57069i	−0.381404	+	0.146507i
$595$	1.09907			0.0450577
$596$	−0.789236	−	7.50908i	−0.0323284	−	0.307584i
$597$	−8.51719	+	21.3781i	−0.348585	+	0.874949i
$598$	−0.190693	+	0.0405330i	−0.00779800	+	0.00165752i
$599$	3.85063	−	36.6363i	0.157332	−	1.49692i	−0.576225	−	0.817291i	$-0.695475\pi$
$599$	3.85063	−	36.6363i	0.157332	−	1.49692i	0.733558	−	0.679627i	$-0.237858\pi$
$600$	14.2210	+	4.00343i	0.580572	+	0.163439i
$601$	−10.3409	−	11.4848i	−0.421815	−	0.468474i	0.494356	−	0.869259i	$-0.335404\pi$
$601$	−10.3409	−	11.4848i	−0.421815	−	0.468474i	−0.916172	+	0.400786i	$0.868737\pi$
$602$	1.41047	+	4.34099i	0.0574866	+	0.176925i
$603$	−8.14726	+	34.0790i	−0.331782	+	1.38780i
$604$	4.88321			0.198695
$605$	14.2996	−	29.7949i	0.581361	−	1.21134i
$606$	0.347575	−	2.02857i	0.0141193	−	0.0824049i
$607$	−23.2743	−	10.3624i	−0.944675	−	0.420596i	−0.124186	−	0.992259i	$-0.539632\pi$
$607$	−23.2743	−	10.3624i	−0.944675	−	0.420596i	−0.820489	+	0.571663i	$0.806299\pi$
$608$	23.2447	−	25.8158i	0.942696	−	1.04697i
$609$	13.7455	+	7.22347i	0.556995	+	0.292710i
$610$	−21.7067	+	9.66443i	−0.878877	+	0.391301i
$611$	−1.04630	−	0.760183i	−0.0423289	−	0.0307537i
$612$	−0.602369	−	1.45033i	−0.0243493	−	0.0586262i
$613$	−11.6728	−	35.9252i	−0.471461	−	1.45101i	−0.850672	−	0.525697i	$-0.823805\pi$
$613$	−11.6728	−	35.9252i	−0.471461	−	1.45101i	0.379211	−	0.925310i	$-0.376195\pi$
$614$	−0.210740	−	2.00506i	−0.00850478	−	0.0809175i
$615$	28.3559	−	10.4764i	1.14342	−	0.422450i
$616$	−6.28298	−	5.23830i	−0.253148	−	0.211057i
$617$	−20.9464	−	36.2802i	−0.843271	−	1.46059i	−0.887115	−	0.461549i	$-0.847294\pi$
$617$	−20.9464	−	36.2802i	−0.843271	−	1.46059i	0.0438437	−	0.999038i	$-0.486040\pi$
$618$	−3.01276	−	0.196023i	−0.121191	−	0.00788520i
$619$	5.85872	+	1.24531i	0.235482	+	0.0500532i	0.324141	−	0.946009i	$-0.394925\pi$
$619$	5.85872	+	1.24531i	0.235482	+	0.0500532i	−0.0886590	+	0.996062i	$0.528258\pi$
$620$	−10.0993	+	31.0823i	−0.405596	+	1.24830i
$621$	−0.363178	−	0.255890i	−0.0145738	−	0.0102685i
$622$	−5.06974	−	3.68338i	−0.203278	−	0.147690i
$623$	−1.65837	−	1.84181i	−0.0664413	−	0.0737905i
$624$	−5.33332	+	13.3866i	−0.213504	+	0.535894i
$625$	−26.4193	−	11.7626i	−1.05677	−	0.470505i
$626$	8.17057	+	14.1518i	0.326562	+	0.565621i
$627$	−8.56611	+	35.5666i	−0.342097	+	1.42039i
$628$	−15.0399	+	26.0498i	−0.600157	+	1.03950i
$629$	−1.58690	+	1.15295i	−0.0632739	+	0.0459712i
$630$	−0.152946	+	6.06183i	−0.00609353	+	0.241509i
$631$	−6.64368	+	20.4471i	−0.264481	+	0.813988i	0.727332	+	0.686286i	$0.240760\pi$
$631$	−6.64368	+	20.4471i	−0.264481	+	0.813988i	−0.991813	+	0.127702i	$0.959240\pi$
$632$	17.1985	−	7.65725i	0.684118	−	0.304589i
$633$	−10.3486	+	10.0908i	−0.411320	+	0.401073i
$634$	0.628784	−	0.133652i	0.0249722	−	0.00530801i
$635$	−26.5024	+	29.4338i	−1.05171	+	1.16805i
$636$	−3.09524	−	6.26899i	−0.122734	−	0.248581i
$637$	−11.1368	+	19.2895i	−0.441256	+	0.764278i
$638$	−9.12129	−	11.5990i	−0.361115	−	0.459208i
$639$	4.79053	+	25.7104i	0.189510	+	1.01709i
$640$	28.0127	−	20.3525i	1.10730	−	0.804501i
$641$	−12.5565	−	2.66896i	−0.495951	−	0.105418i	−0.0468561	−	0.998902i	$-0.514920\pi$
$641$	−12.5565	−	2.66896i	−0.495951	−	0.105418i	−0.449095	+	0.893484i	$0.648254\pi$
$642$	−0.476936	−	11.9930i	−0.0188232	−	0.473325i
$643$	−2.96396	+	28.2002i	−0.116887	+	1.11211i	0.766103	+	0.642718i	$0.222193\pi$
$643$	−2.96396	+	28.2002i	−0.116887	+	1.11211i	−0.882990	+	0.469391i	$0.844473\pi$
$644$	0.0173374	−	0.164954i	0.000683189	−	0.00650011i
$645$	29.8501	−	18.8539i	1.17535	−	0.742372i
$646$	1.13087	+	0.240374i	0.0444936	+	0.00945741i
$647$	14.1536	−	10.2832i	0.556436	−	0.404274i	−0.273717	−	0.961810i	$-0.588253\pi$
$647$	14.1536	−	10.2832i	0.556436	−	0.404274i	0.830153	+	0.557536i	$0.188253\pi$
$648$	17.7857	−	6.86625i	0.698687	−	0.269732i
$649$	0.289810	+	7.60956i	0.0113760	+	0.298701i
$650$	4.59060	−	7.95116i	0.180058	−	0.311870i
$651$	−13.1387	−	0.854859i	−0.514945	−	0.0335046i
$652$	6.49236	−	7.21050i	0.254261	−	0.282385i
$653$	28.6619	−	6.09227i	1.12163	−	0.238409i	0.390468	−	0.920617i	$-0.372313\pi$
$653$	28.6619	−	6.09227i	1.12163	−	0.238409i	0.731159	+	0.682207i	$0.238980\pi$
$654$	−5.00957	−	1.41026i	−0.195890	−	0.0551457i
$655$	−49.3268	+	21.9617i	−1.92736	+	0.858114i
$656$	3.78455	−	11.6477i	0.147762	−	0.454764i
$657$	−7.76444	+	4.22534i	−0.302920	+	0.164846i
$658$	−0.178378	+	0.129599i	−0.00695388	+	0.00505229i
$659$	−13.7935	+	23.8911i	−0.537319	+	0.930664i	0.461728	+	0.887021i	$0.347229\pi$
$659$	−13.7935	+	23.8911i	−0.537319	+	0.930664i	−0.999047	+	0.0436422i	$0.986104\pi$
$660$	−12.3986	+	25.9457i	−0.482616	+	1.00994i
$661$	−14.8776	−	25.7688i	−0.578672	−	1.00229i	−0.995632	−	0.0933649i	$-0.970238\pi$
$661$	−14.8776	−	25.7688i	−0.578672	−	1.00229i	0.416960	−	0.908925i	$-0.363096\pi$
$662$	−6.53398	−	2.90912i	−0.253950	−	0.113066i
$663$	−2.12511	+	0.309162i	−0.0825325	+	0.0120069i
$664$	−7.02738	−	7.80469i	−0.272715	−	0.302881i
$665$	18.0228	+	13.0943i	0.698893	+	0.507775i
$666$	−6.13815	−	8.91284i	−0.237849	−	0.345365i
$667$	0.203437	−	0.626115i	0.00787711	−	0.0242433i
$668$	−8.18403	−	1.73957i	−0.316650	−	0.0673060i
$669$	0.368919	−	0.552697i	0.0142632	−	0.0213685i
$670$	−10.1380	−	17.5596i	−0.391666	−	0.678385i
$671$	−11.1213	−	44.0120i	−0.429331	−	1.69906i
$672$	8.46107	+	7.03017i	0.326393	+	0.271195i
$673$	−1.00908	−	9.60079i	−0.0388973	−	0.370083i	−0.996604	−	0.0823384i	$-0.973761\pi$
$673$	−1.00908	−	9.60079i	−0.0388973	−	0.370083i	0.957707	−	0.287745i	$-0.0929055\pi$
$674$	2.40577	+	7.40418i	0.0926666	+	0.285198i
$675$	20.4002	−	4.64680i	0.785205	−	0.178856i
$676$	3.46724	+	2.51910i	0.133355	+	0.0968883i
$677$	−0.0896326	+	0.0399070i	−0.00344486	+	0.00153375i	−0.408458	−	0.912777i	$-0.633933\pi$
$677$	−0.0896326	+	0.0399070i	−0.00344486	+	0.00153375i	0.405013	+	0.914311i	$0.367267\pi$
$678$	−16.2694	+	10.2761i	−0.624822	+	0.394650i
$679$	0.0692131	−	0.0768689i	0.00265615	−	0.00294996i
$680$	1.82675	+	0.813323i	0.0700528	+	0.0311895i
$681$	29.2676	−	10.8132i	1.12153	−	0.414364i
$682$	11.0657	+	5.83898i	0.423729	+	0.223586i
$683$	30.5246			1.16799			0.583996	−	0.811756i	$-0.301488\pi$
$683$	30.5246			1.16799			0.583996	+	0.811756i	$0.301488\pi$
$684$	7.40144	−	30.9593i	0.283001	−	1.18376i
$685$	−15.2277	−	46.8660i	−0.581820	−	1.79066i
$686$	5.69202	+	6.32163i	0.217323	+	0.241361i
$687$	16.6518	−	16.2370i	0.635307	−	0.619480i
$688$	1.49514	−	14.2253i	0.0570018	−	0.542336i
$689$	−9.35145	+	1.98771i	−0.356262	+	0.0757258i
$690$	0.254406	−	0.0370111i	0.00968509	−	0.00140899i
$691$	−3.42871	−	32.6220i	−0.130434	−	1.24100i	−0.842426	−	0.538812i	$-0.818873\pi$
$691$	−3.42871	−	32.6220i	−0.130434	−	1.24100i	0.711992	−	0.702188i	$-0.247793\pi$
$692$	25.9748			0.987413
$693$	−11.3617	−	2.26292i	−0.431594	−	0.0859612i
$694$	5.62741			0.213614
$695$	3.73768	+	35.5616i	0.141778	+	1.34893i
$696$	17.5007	+	22.1778i	0.663362	+	0.840646i
$697$	1.78527	−	0.379471i	0.0676220	−	0.0143735i
$698$	0.268178	−	2.55154i	0.0101507	−	0.0965773i
$699$	−1.43935	−	5.65614i	−0.0544412	−	0.213935i
$700$	5.22673	+	5.80487i	0.197552	+	0.219404i
$701$	−2.70365	−	8.32098i	−0.102115	−	0.314279i	0.886927	−	0.461909i	$-0.152835\pi$
$701$	−2.70365	−	8.32098i	−0.102115	−	0.314279i	−0.989043	+	0.147630i	$0.952835\pi$
$702$	−1.40942	−	11.7639i	−0.0531952	−	0.443998i
$703$	−39.7584			−1.49952
$704$	1.55793	+	3.16878i	0.0587168	+	0.119428i
$705$	1.31176	+	1.08992i	0.0494039	+	0.0410489i
$706$	17.1678	+	7.64360i	0.646119	+	0.287671i
$707$	1.60217	−	1.77939i	0.0602558	−	0.0669208i
$708$	−0.263292	−	6.62072i	−0.00989514	−	0.248822i
$709$	24.4610	−	10.8907i	0.918651	−	0.409010i	0.107740	−	0.994179i	$-0.465639\pi$
$709$	24.4610	−	10.8907i	0.918651	−	0.409010i	0.810911	+	0.585169i	$0.198972\pi$
$710$	−12.2435	−	8.89542i	−0.459490	−	0.333839i
$711$	16.2104	−	21.1675i	0.607936	−	0.793844i
$712$	−1.39340	−	4.28845i	−0.0522199	−	0.160716i
$713$	0.0583495	+	0.555159i	0.00218521	+	0.0207909i
$714$	−0.0618286	+	0.360852i	−0.00231388	+	0.0135046i
$715$	30.2020	+	25.1803i	1.12949	+	0.941690i
$716$	5.87217	+	10.1709i	0.219453	+	0.380105i
$717$	17.7875	+	36.0261i	0.664286	+	1.34542i
$718$	15.6953	+	3.33613i	0.585742	+	0.124503i
$719$	−4.63672	+	14.2703i	−0.172920	+	0.532194i	−0.999532	−	0.0305782i	$-0.990265\pi$
$719$	−4.63672	+	14.2703i	−0.172920	+	0.532194i	0.826612	+	0.562772i	$0.190265\pi$
$720$	8.16437	−	17.1591i	0.304268	−	0.639481i
$721$	−2.84161	−	2.06455i	−0.105827	−	0.0768879i
$722$	8.33438	+	9.25627i	0.310174	+	0.344483i
$723$	16.2704	+	20.6186i	0.605101	+	0.766815i
$724$	−3.80172	−	1.69263i	−0.141290	−	0.0629062i
$725$	15.5020	+	26.8502i	0.575730	+	0.997193i
$726$	8.97797	+	6.37101i	0.333204	+	0.236450i
$727$	−13.7663	+	23.8438i	−0.510562	+	0.884319i	0.489363	+	0.872080i	$0.337229\pi$
$727$	−13.7663	+	23.8438i	−0.510562	+	0.884319i	−0.999925	+	0.0122391i	$0.996104\pi$
$728$	7.87410	−	5.72087i	0.291834	−	0.212029i
$729$	17.4763	−	20.5811i	0.647269	−	0.762262i
$730$	1.58069	−	4.86486i	0.0585039	−	0.180057i
$731$	1.94736	−	0.867021i	0.0720257	−	0.0320679i
$732$	9.74105	+	38.2789i	0.360040	+	1.41483i
$733$	−46.6964	+	9.92564i	−1.72477	+	0.366612i	−0.960500	−	0.278281i	$-0.910235\pi$
$733$	−46.6964	+	9.92564i	−1.72477	+	0.366612i	−0.764273	+	0.644893i	$0.776902\pi$
$734$	0.453208	−	0.503339i	0.0167282	−	0.0185786i
$735$	16.3067	−	24.4299i	0.601481	−	0.901111i
$736$	0.233195	−	0.403906i	0.00859570	−	0.0148882i
$737$	36.3593	−	13.3640i	1.33931	−	0.492267i
$738$	1.84450	+	9.89928i	0.0678968	+	0.364398i
$739$	−1.20421	+	0.874910i	−0.0442976	+	0.0321841i	−0.609714	−	0.792622i	$-0.708716\pi$
$739$	−1.20421	+	0.874910i	−0.0442976	+	0.0321841i	0.565416	+	0.824806i	$0.308716\pi$
$740$	−30.5686	−	6.49755i	−1.12372	−	0.238855i
$741$	−38.5312	−	20.2488i	−1.41548	−	0.743857i
$742$	−0.170370	+	1.62096i	−0.00625446	+	0.0595072i
$743$	1.89825	−	18.0607i	0.0696402	−	0.662582i	−0.902901	−	0.429850i	$-0.858567\pi$
$743$	1.89825	−	18.0607i	0.0696402	−	0.662582i	0.972541	−	0.232733i	$-0.0747667\pi$
$744$	−21.2050	−	11.1436i	−0.777411	−	0.408542i
$745$	13.3177	+	2.83076i	0.487922	+	0.103711i
$746$	−10.1751	+	7.39264i	−0.372537	+	0.270664i
$747$	−14.0250	−	4.95145i	−0.513147	−	0.181164i
$748$	−0.966316	+	1.44243i	−0.0353320	+	0.0527406i
$749$	6.98177	−	12.0928i	0.255108	−	0.441860i
$750$	1.62493	−	2.43440i	0.0593341	−	0.0888916i
$751$	−2.94060	+	3.26586i	−0.107304	+	0.119173i	−0.794404	−	0.607390i	$-0.792217\pi$
$751$	−2.94060	+	3.26586i	−0.107304	+	0.119173i	0.687100	+	0.726563i	$0.258883\pi$
$752$	0.675855	−	0.143657i	0.0246459	−	0.00523865i
$753$	−0.248732	−	0.977431i	−0.00906431	−	0.0356196i
$754$	16.0389	−	7.14096i	0.584101	−	0.260058i
$755$	−2.72107	+	8.37459i	−0.0990299	+	0.304783i
$756$	9.88920	+	1.95237i	0.359667	+	0.0710071i
$757$	11.1369	−	8.09140i	0.404776	−	0.294087i	−0.366708	−	0.930336i	$-0.619515\pi$
$757$	11.1369	−	8.09140i	0.404776	−	0.294087i	0.771483	+	0.636249i	$0.219515\pi$
$758$	4.69382	−	8.12993i	0.170487	−	0.295292i
$759$	−0.0132137	+	0.490983i	−0.000479625	+	0.0178216i
$760$	20.2655	+	35.1008i	0.735105	+	1.27324i
$761$	−28.4168	−	12.6520i	−1.03011	−	0.458634i	−0.179126	−	0.983826i	$-0.557327\pi$
$761$	−28.4168	−	12.6520i	−1.03011	−	0.458634i	−0.850984	+	0.525192i	$0.823994\pi$
$762$	−8.17294	−	10.3572i	−0.296074	−	0.375200i
$763$	−4.05133	−	4.49945i	−0.146668	−	0.162891i
$764$	−15.9365	−	11.5786i	−0.576564	−	0.418898i
$765$	2.82295	−	0.224881i	0.102064	−	0.00813060i
$766$	1.10585	−	3.40344i	0.0399558	−	0.122971i
$767$	−8.86254	−	1.88379i	−0.320008	−	0.0680197i
$768$	3.47357	+	7.03524i	0.125342	+	0.253862i
$769$	−10.9677	−	18.9966i	−0.395504	−	0.685034i	0.597661	−	0.801749i	$-0.296097\pi$
$769$	−10.9677	−	18.9966i	−0.395504	−	0.685034i	−0.993165	+	0.116715i	$0.962764\pi$
$770$	5.67384	−	3.57039i	0.204471	−	0.128668i
$771$	3.20922	−	18.7301i	0.115577	−	0.674549i
$772$	1.17499	+	11.1793i	0.0422887	+	0.402350i
$773$	−3.92965	−	12.0942i	−0.141340	−	0.434999i	0.855182	−	0.518327i	$-0.173445\pi$
$773$	−3.92965	−	12.0942i	−0.141340	−	0.434999i	−0.996522	+	0.0833281i	$0.973445\pi$
$774$	4.51097	+	10.8611i	0.162143	+	0.390395i
$775$	−21.2682	−	15.4522i	−0.763976	−	0.555061i
$776$	0.171921	−	0.0765443i	0.00617162	−	0.00274778i
$777$	−0.500291	−	12.5803i	−0.0179478	−	0.451314i
$778$	−0.279617	+	0.310546i	−0.0100248	+	0.0111336i
$779$	33.7961	+	15.0470i	1.21087	+	0.539114i
$780$	−26.3158	−	21.8654i	−0.942258	−	0.782908i
$781$	20.7348	−	20.1504i	0.741950	−	0.721038i
$782$	0.0155220			0.000555064
$783$	36.7829	+	15.7408i	1.31451	+	0.562532i
$784$	−3.67724	−	11.3174i	−0.131330	−	0.404193i
$785$	−36.2942	−	40.3088i	−1.29540	−	1.43868i
$786$	−4.43567	−	17.4306i	−0.158215	−	0.621729i
$787$	1.80433	−	17.1671i	0.0643176	−	0.611941i	−0.914127	−	0.405429i	$-0.867122\pi$
$787$	1.80433	−	17.1671i	0.0643176	−	0.611941i	0.978444	−	0.206512i	$-0.0662112\pi$
$788$	−33.6496	+	7.15244i	−1.19872	+	0.254795i
$789$	−15.4455	−	19.5733i	−0.549875	−	0.696829i
$790$	1.61268	+	15.3436i	0.0573765	+	0.545901i
$791$	−22.3870			−0.795991
$792$	−17.2095	−	12.1689i	−0.611512	−	0.432402i
$793$	54.0120			1.91802
$794$	−0.247023	−	2.35027i	−0.00876652	−	0.0834079i
$795$	12.4759	−	1.81500i	0.442476	−	0.0643715i
$796$	−21.6528	+	4.60245i	−0.767463	+	0.163129i
$797$	−3.67956	+	35.0087i	−0.130337	+	1.24007i	0.712411	+	0.701762i	$0.247603\pi$
$797$	−3.67956	+	35.0087i	−0.130337	+	1.24007i	−0.842748	+	0.538309i	$0.819064\pi$
$798$	−5.31305	+	5.18068i	−0.188080	+	0.183394i
$799$	0.0689013	+	0.0765227i	0.00243755	+	0.00270718i
$800$	6.78739	+	20.8894i	0.239970	+	0.738553i
$801$	−4.63634	−	4.39132i	−0.163817	−	0.155160i
$802$	−3.26248			−0.115202
$803$	8.64318	+	4.56069i	0.305011	+	0.160943i
$804$	−31.6170	+	11.6812i	−1.11504	+	0.411966i
$805$	0.273232	+	0.121651i	0.00963016	+	0.00428762i
$806$	−9.96114	+	11.0630i	−0.350866	+	0.389677i
$807$	−0.716057	+	0.452276i	−0.0252064	+	0.0159209i
$808$	3.97970	−	1.77188i	0.140005	−	0.0623344i
$809$	15.4367	+	11.2154i	0.542725	+	0.394313i	0.825096	−	0.564992i	$-0.191121\pi$
$809$	15.4367	+	11.2154i	0.542725	+	0.394313i	−0.282371	+	0.959305i	$0.591121\pi$
$810$	0.847470	+	15.6010i	0.0297771	+	0.548162i
$811$	−9.59769	−	29.5387i	−0.337020	−	1.03724i	−0.965718	−	0.259593i	$-0.916412\pi$
$811$	−9.59769	−	29.5387i	−0.337020	−	1.03724i	0.628698	−	0.777650i	$-0.283588\pi$
$812$	1.56134	+	14.8551i	0.0547923	+	0.521314i
$813$	−29.2271	−	24.2843i	−1.02504	−	0.851688i
$814$	−4.44678	+	11.1071i	−0.155860	+	0.389303i
$815$	8.74810	+	15.1522i	0.306433	+	0.530757i
$816$	0.636954	−	0.954254i	0.0222978	−	0.0334056i
$817$	42.2627	+	8.98321i	1.47858	+	0.314283i
$818$	1.68711	−	5.19240i	0.0589885	−	0.181548i
$819$	5.92221	−	12.4467i	0.206939	−	0.434924i
$820$	23.5253	+	17.0922i	0.821540	+	0.596884i
$821$	22.7561	+	25.2732i	0.794195	+	0.882042i	0.995231	−	0.0975412i	$-0.0310978\pi$
$821$	22.7561	+	25.2732i	0.794195	+	0.882042i	−0.201037	+	0.979584i	$0.564431\pi$
$822$	16.2439	−	2.36316i	0.566570	−	0.0824247i
$823$	14.2111	+	6.32720i	0.495368	+	0.220552i	0.639186	−	0.769052i	$-0.279271\pi$
$823$	14.2111	+	6.32720i	0.495368	+	0.220552i	−0.143818	+	0.989604i	$0.545938\pi$
$824$	−3.19521	−	5.53426i	−0.111310	−	0.192795i
$825$	−16.7671	−	15.9345i	−0.583754	−	0.554768i
$826$	−0.772337	+	1.33773i	−0.0268730	+	0.0465455i
$827$	−12.9667	+	9.42084i	−0.450895	+	0.327595i	−0.789949	−	0.613172i	$-0.789893\pi$
$827$	−12.9667	+	9.42084i	−0.450895	+	0.327595i	0.339054	+	0.940767i	$0.389893\pi$
$828$	0.0107794	−	0.427228i	0.000374611	−	0.0148472i
$829$	5.90205	−	18.1646i	0.204987	−	0.630884i	−0.794727	−	0.606967i	$-0.792386\pi$
$829$	5.90205	−	18.1646i	0.204987	−	0.630884i	0.999714	−	0.0239173i	$-0.00761382\pi$
$830$	7.86260	−	3.50065i	0.272915	−	0.121509i
$831$	−4.78420	−	1.34682i	−0.165962	−	0.0467207i
$832$	−4.10949	+	0.873499i	−0.142471	+	0.0302831i
$833$	1.18664	−	1.31790i	0.0411146	−	0.0456624i
$834$	−11.8860	−	0.773354i	−0.411578	−	0.0267791i
$835$	7.54371	−	13.0661i	0.261061	−	0.452171i
$836$	−33.0308	+	12.1406i	−1.14240	+	0.419891i
$837$	−33.9213	+	0.492616i	−1.17249	+	0.0170273i
$838$	−0.0708501	+	0.0514756i	−0.00244747	+	0.00177819i
$839$	−1.45541	−	0.309356i	−0.0502462	−	0.0106802i	0.182720	−	0.983165i	$-0.441510\pi$
$839$	−1.45541	−	0.309356i	−0.0502462	−	0.0106802i	−0.232966	+	0.972485i	$0.574843\pi$
$840$	−10.8515	+	6.85402i	−0.374412	+	0.236486i
$841$	−3.16588	+	30.1213i	−0.109168	+	1.03867i
$842$	−1.02535	+	9.75552i	−0.0353358	+	0.336198i
$843$	−1.25112	−	31.4605i	−0.0430908	−	1.08356i
$844$	−13.6001	−	2.89079i	−0.468134	−	0.0995049i
$845$	−6.25224	+	4.54252i	−0.215084	+	0.156267i
$846$	−0.431641	+	0.369369i	−0.0148401	+	0.0126992i
$847$	4.87274	+	11.8444i	0.167429	+	0.406977i
$848$	2.55384	−	4.42338i	0.0876993	−	0.151900i
$849$	15.7480	+	31.8954i	0.540470	+	1.09465i
$850$	−0.489134	+	0.543238i	−0.0167772	+	0.0186329i
$851$	−0.522121	+	0.110980i	−0.0178981	+	0.00380435i
$852$	−18.0121	+	17.5633i	−0.617084	+	0.601710i
$853$	34.5339	−	15.3755i	1.18242	−	0.526447i	0.281132	−	0.959669i	$-0.409290\pi$
$853$	34.5339	−	15.3755i	1.18242	−	0.526447i	0.901287	+	0.433222i	$0.142624\pi$
$854$	2.84548	−	8.75750i	0.0973704	−	0.299675i
$855$	48.9702	+	29.9448i	1.67475	+	1.02409i
$856$	20.5530	−	14.9326i	0.702487	−	0.510387i
$857$	−9.91348	+	17.1706i	−0.338638	+	0.586538i	−0.984177	−	0.177189i	$-0.943300\pi$
$857$	−9.91348	+	17.1706i	−0.338638	+	0.586538i	0.645539	+	0.763727i	$0.276633\pi$
$858$	−9.96631	+	8.49952i	−0.340244	+	0.290169i
$859$	7.85764	+	13.6098i	0.268099	+	0.464362i	0.968371	−	0.249515i	$-0.0802711\pi$
$859$	7.85764	+	13.6098i	0.268099	+	0.464362i	−0.700272	+	0.713876i	$0.746938\pi$
$860$	31.0259	+	13.8136i	1.05798	+	0.471041i
$861$	−4.33586	+	10.8830i	−0.147766	+	0.370892i
$862$	−9.80860	−	10.8936i	−0.334082	−	0.371036i
$863$	−6.57548	−	4.77736i	−0.223832	−	0.162623i	0.470218	−	0.882550i	$-0.344175\pi$
$863$	−6.57548	−	4.77736i	−0.223832	−	0.162623i	−0.694050	+	0.719927i	$0.744175\pi$
$864$	23.1705	+	16.3256i	0.788276	+	0.555408i
$865$	−14.4739	+	44.5462i	−0.492128	+	1.51462i
$866$	−9.34517	−	1.98638i	−0.317562	−	0.0674998i
$867$	−29.2121	−	1.90067i	−0.992095	−	0.0645500i
$868$	−6.33269	−	10.9685i	−0.214945	−	0.372296i
$869$	−29.4100	−	1.96318i	−0.997667	−	0.0665963i
$870$	−21.7172	+	8.02368i	−0.736283	+	0.272028i
$871$	4.81776	+	45.8379i	0.163244	+	1.55316i
$872$	−3.40401	−	10.4765i	−0.115274	−	0.354778i
$873$	0.162044	−	0.211597i	0.00548435	−	0.00716149i
$874$	0.254531	+	0.184928i	0.00860964	+	0.00625527i
$875$	3.11073	−	1.38498i	0.105162	−	0.0468210i
$876$	−7.52718	−	3.95565i	−0.254320	−	0.133649i
$877$	−1.69526	+	1.88278i	−0.0572449	+	0.0635769i	−0.771087	−	0.636730i	$-0.780287\pi$
$877$	−1.69526	+	1.88278i	−0.0572449	+	0.0635769i	0.713842	+	0.700307i	$0.246953\pi$
$878$	−20.7138	−	9.22239i	−0.699058	−	0.311241i
$879$	−0.251576	+	1.46828i	−0.00848544	+	0.0495239i
$880$	−20.7942	+	2.98947i	−0.700971	+	0.100775i
$881$	−47.4109			−1.59731			−0.798657	−	0.601786i	$-0.794456\pi$
$881$	−47.4109			−1.59731			−0.798657	+	0.601786i	$0.794456\pi$
$882$	7.10358	+	6.72818i	0.239190	+	0.226550i
$883$	8.19295	+	25.2153i	0.275715	+	0.848563i	0.989029	+	0.147719i	$0.0471930\pi$
$883$	8.19295	+	25.2153i	0.275715	+	0.848563i	−0.713315	+	0.700844i	$0.752807\pi$
$884$	−1.38226	−	1.53515i	−0.0464904	−	0.0516328i
$885$	11.5011	+	3.23772i	0.386605	+	0.108835i
$886$	−1.94417	+	18.4975i	−0.0653156	+	0.621436i
$887$	46.7841	−	9.94428i	1.57086	−	0.333896i	0.661511	−	0.749935i	$-0.269915\pi$
$887$	46.7841	−	9.94428i	1.57086	−	0.333896i	0.909347	+	0.416039i	$0.136582\pi$
$888$	8.47795	−	21.2796i	0.284501	−	0.714098i
$889$	−1.60442	−	15.2651i	−0.0538106	−	0.511974i
$890$	3.69528			0.123866
$891$	−29.6452	−	3.48754i	−0.993151	−	0.116837i
$892$	0.639221			0.0214027
$893$	0.218166	+	2.07571i	0.00730066	+	0.0694612i
$894$	−1.67859	+	4.21327i	−0.0561406	+	0.140913i
$895$	−20.7150	+	4.40311i	−0.692427	+	0.147180i
$896$	−1.40263	+	13.3451i	−0.0468586	+	0.445830i
$897$	−0.562526	−	0.158359i	−0.0187822	−	0.00528745i
$898$	−9.99221	−	11.0975i	−0.333445	−	0.370328i
$899$	−15.5345	−	47.8104i	−0.518106	−	1.59457i
$900$	14.6125	+	13.8402i	0.487082	+	0.461341i
$901$	0.761187			0.0253588
$902$	7.98352	−	7.75850i	0.265822	−	0.258330i
$903$	−2.31064	+	13.4857i	−0.0768933	+	0.448776i
$904$	−37.2091	−	16.5666i	−1.23756	−	0.550995i
$905$	5.02126	−	5.57667i	0.166912	−	0.185375i
$906$	−2.59650	−	1.36451i	−0.0862631	−	0.0453327i
$907$	43.3554	−	19.3030i	1.43959	−	0.640947i	0.469333	−	0.883021i	$-0.344494\pi$
$907$	43.3554	−	19.3030i	1.43959	−	0.640947i	0.970258	+	0.242074i	$0.0778277\pi$
$908$	24.2817	+	17.6417i	0.805815	+	0.585459i
$909$	3.75105	−	4.89814i	0.124415	−	0.162461i
$910$	2.46479	+	7.58583i	0.0817068	+	0.251468i
$911$	2.97198	+	28.2765i	0.0984660	+	0.936841i	0.926533	+	0.376213i	$0.122774\pi$
$911$	2.97198	+	28.2765i	0.0984660	+	0.936841i	−0.828067	+	0.560629i	$0.810560\pi$
$912$	21.8138	−	8.05935i	0.722326	−	0.266872i
$913$	4.02834	+	15.9420i	0.133319	+	0.527604i
$914$	3.67381	+	6.36322i	0.121519	+	0.210477i
$915$	−71.0755	−	4.62448i	−2.34968	−	0.152880i
$916$	21.8837	+	4.65153i	0.723059	+	0.153691i
$917$	6.46615	−	19.9008i	0.213531	−	0.657181i
$918$	−0.0849712	+	0.939491i	−0.00280447	+	0.0310078i
$919$	−31.0442	−	22.5550i	−1.02406	−	0.744020i	−0.0569449	−	0.998377i	$-0.518136\pi$
$919$	−31.0442	−	22.5550i	−1.02406	−	0.744020i	−0.967110	+	0.254358i	$0.918136\pi$
$920$	0.364112	+	0.404387i	0.0120044	+	0.0133322i
$921$	2.23677	−	5.61430i	0.0737042	−	0.184998i
$922$	−10.0408	−	4.47044i	−0.330675	−	0.147226i
$923$	17.2007	+	29.7924i	0.566167	+	0.980629i
$924$	−4.25713	−	10.2988i	−0.140049	−	0.338804i
$925$	12.5692	−	21.7704i	0.413272	−	0.715808i
$926$	10.6893	−	7.76621i	0.351271	−	0.255214i
$927$	−7.72103	−	4.72132i	−0.253592	−	0.155069i
$928$	−12.9791	+	39.9457i	−0.426061	+	1.31128i
$929$	12.2302	−	5.44526i	0.401261	−	0.178653i	−0.196176	−	0.980569i	$-0.562852\pi$
$929$	12.2302	−	5.44526i	0.401261	−	0.178653i	0.597437	+	0.801916i	$0.296186\pi$
$930$	14.0553	−	13.7051i	0.460890	−	0.449408i
$931$	35.1600	−	7.47348i	1.15232	−	0.244934i
$932$	3.75669	−	4.17223i	0.123055	−	0.136666i
$933$	−8.31626	−	16.8434i	−0.272262	−	0.551429i
$934$	−4.60021	+	7.96779i	−0.150523	+	0.260714i
$935$	−1.93528	−	2.46098i	−0.0632905	−	0.0804826i
$936$	19.0539	−	16.3050i	0.622795	−	0.532946i
$937$	19.9588	−	14.5010i	0.652027	−	0.473725i	−0.211934	−	0.977284i	$-0.567976\pi$
$937$	19.9588	−	14.5010i	0.652027	−	0.473725i	0.863961	+	0.503559i	$0.167976\pi$
$938$	7.68596	+	1.63370i	0.250956	+	0.0533422i
$939$	1.94647	+	48.9456i	0.0635205	+	1.59728i
$940$	−0.171486	+	1.63158i	−0.00559327	+	0.0532164i
$941$	−0.867827	+	8.25682i	−0.0282903	+	0.269165i	0.971229	+	0.238149i	$0.0765408\pi$
$941$	−0.867827	+	8.25682i	−0.0282903	+	0.269165i	−0.999519	+	0.0310154i	$0.990126\pi$
$942$	15.2761	−	9.64868i	0.497722	−	0.314371i
$943$	0.485823	+	0.103265i	0.0158206	+	0.00336277i
$944$	3.91616	−	2.84526i	0.127460	−	0.0926053i
$945$	−8.85883	+	15.8718i	−0.288178	+	0.516311i
$946$	7.23646	−	10.8020i	0.235278	−	0.351202i
$947$	−18.9748	+	32.8653i	−0.616598	+	1.06798i	0.373503	+	0.927629i	$0.378156\pi$
$947$	−18.9748	+	32.8653i	−0.616598	+	1.06798i	−0.990102	+	0.140351i	$0.955177\pi$
$948$	25.5928	+	1.66518i	0.831215	+	0.0540824i
$949$	−7.78041	+	8.64102i	−0.252563	+	0.280499i
$950$	−14.4930	+	3.08058i	−0.470214	+	0.0999472i
$951$	1.85486	+	0.522168i	0.0601478	+	0.0169325i
$952$	−0.707930	+	0.315191i	−0.0229442	+	0.0102154i
$953$	−15.0400	+	46.2884i	−0.487194	+	1.49943i	0.341583	+	0.939852i	$0.389037\pi$
$953$	−15.0400	+	46.2884i	−0.487194	+	1.49943i	−0.828778	+	0.559578i	$0.810963\pi$
$954$	−0.105926	+	4.19825i	−0.00342949	+	0.135923i
$955$	28.7373	−	20.8789i	0.929918	−	0.675625i
$956$	−19.3245	+	33.4710i	−0.624998	+	1.08253i
$957$	−8.02907	−	43.4973i	−0.259543	−	1.40607i
$958$	4.73516	+	8.20154i	0.152986	+	0.264980i
$959$	17.4459	+	7.76740i	0.563356	+	0.250822i
$960$	5.48254	−	0.797602i	0.176948	−	0.0257425i
$961$	7.77911	+	8.63958i	0.250939	+	0.278696i
$962$	−11.5165	−	8.36721i	−0.371306	−	0.269770i
$963$	15.4582	−	32.4885i	0.498133	−	1.04693i
$964$	−7.80746	+	24.0289i	−0.251461	+	0.773918i
$965$	−19.8269	−	4.21434i	−0.638250	−	0.135664i
$966$	−0.0553115	+	0.0828651i	−0.00177962	+	0.00266614i
$967$	−5.48901	−	9.50724i	−0.176515	−	0.305732i	0.764170	−	0.645015i	$-0.223149\pi$
$967$	−5.48901	−	9.50724i	−0.176515	−	0.305732i	−0.940684	+	0.339283i	$0.889816\pi$
$968$	−0.666025	+	23.2922i	−0.0214069	+	0.748639i
$969$	2.66559	+	2.21479i	0.0856309	+	0.0711494i
$970$	0.0161208	+	0.153380i	0.000517609	+	0.00492472i
$971$	4.03687	+	12.4242i	0.129549	+	0.398712i	0.994702	−	0.102796i	$-0.0327789\pi$
$971$	4.03687	+	12.4242i	0.129549	+	0.398712i	−0.865153	+	0.501508i	$0.832779\pi$
$972$	25.7996	+	2.99120i	0.827523	+	0.0959426i
$973$	−11.2108	−	8.14510i	−0.359401	−	0.261120i
$974$	12.0280	−	5.35523i	0.385403	−	0.171592i
$975$	23.2688	−	14.6970i	0.745197	−	0.470682i
$976$	−19.3086	+	21.4444i	−0.618053	+	0.686418i
$977$	−10.1187	−	4.50514i	−0.323726	−	0.144132i	0.238438	−	0.971158i	$-0.423365\pi$
$977$	−10.1187	−	4.50514i	−0.323726	−	0.144132i	−0.562164	+	0.827025i	$0.690031\pi$
$978$	−5.46694	+	2.01982i	−0.174813	+	0.0645869i
$979$	−1.20395	+	6.95643i	−0.0384785	+	0.222328i
$980$	28.2544			0.902554
$981$	−11.3264	−	10.7278i	−0.361623	−	0.342512i
$982$	−7.79262	−	23.9832i	−0.248673	−	0.765336i
$983$	−17.6861	−	19.6424i	−0.564100	−	0.626496i	0.391849	−	0.920029i	$-0.371835\pi$
$983$	−17.6861	−	19.6424i	−0.564100	−	0.626496i	−0.955949	+	0.293533i	$0.905169\pi$
$984$	−15.2601	+	14.8799i	−0.486473	+	0.474354i
$985$	6.48429	−	61.6939i	0.206607	−	1.96573i
$986$	−1.36730	+	0.290629i	−0.0435438	+	0.00925552i
$987$	−0.654047	+	0.0951509i	−0.0208185	+	0.00302869i
$988$	−4.37673	−	41.6418i	−0.139242	−	1.32480i
$989$	0.580083			0.0184456
$990$	13.8426	−	10.3314i	0.439946	−	0.328353i
$991$	−18.9911			−0.603272			−0.301636	−	0.953423i	$-0.597533\pi$
$991$	−18.9911			−0.603272			−0.301636	+	0.953423i	$0.597533\pi$
$992$	−3.72266	−	35.4188i	−0.118195	−	1.12455i
$993$	−13.2813	−	16.8307i	−0.421470	−	0.534108i
$994$	5.73671	−	1.21937i	0.181957	−	0.0386762i
$995$	4.17250	−	39.6987i	0.132277	−	1.25853i
$996$	−3.52841	−	13.8654i	−0.111802	−	0.439342i
$997$	14.7966	+	16.4333i	0.468613	+	0.520447i	0.930401	−	0.366543i	$-0.119459\pi$
$997$	14.7966	+	16.4333i	0.468613	+	0.520447i	−0.461788	+	0.886990i	$0.652792\pi$
$998$	−3.58956	−	11.0475i	−0.113625	−	0.349703i
$999$	−3.85903	−	32.2097i	−0.122094	−	1.01907i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.m.b.25.4	yes	72
3.2	odd	2		297.2.n.b.289.6		72
9.2	odd	6		891.2.f.e.487.6		36
9.4	even	3	inner	99.2.m.b.58.6	yes	72
9.5	odd	6		297.2.n.b.91.4		72
9.7	even	3		891.2.f.f.487.4		36
11.2	odd	10		1089.2.e.o.727.11		36
11.4	even	5	inner	99.2.m.b.70.6	yes	72
11.9	even	5		1089.2.e.p.727.8		36
33.26	odd	10		297.2.n.b.235.4		72
99.2	even	30		9801.2.a.cn.1.11		18
99.4	even	15	inner	99.2.m.b.4.4	✓	72
99.13	odd	30		1089.2.e.o.364.11		36
99.20	odd	30		9801.2.a.cp.1.8		18
99.31	even	15		1089.2.e.p.364.8		36
99.59	odd	30		297.2.n.b.37.6		72
99.70	even	15		891.2.f.f.730.4		36
99.79	odd	30		9801.2.a.co.1.8		18
99.92	odd	30		891.2.f.e.730.6		36
99.97	even	15		9801.2.a.cm.1.11		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.m.b.4.4	✓	72	99.4	even	15	inner
99.2.m.b.25.4	yes	72	1.1	even	1	trivial
99.2.m.b.58.6	yes	72	9.4	even	3	inner
99.2.m.b.70.6	yes	72	11.4	even	5	inner
297.2.n.b.37.6		72	99.59	odd	30
297.2.n.b.91.4		72	9.5	odd	6
297.2.n.b.235.4		72	33.26	odd	10
297.2.n.b.289.6		72	3.2	odd	2
891.2.f.e.487.6		36	9.2	odd	6
891.2.f.e.730.6		36	99.92	odd	30
891.2.f.f.487.4		36	9.7	even	3
891.2.f.f.730.4		36	99.70	even	15
1089.2.e.o.364.11		36	99.13	odd	30
1089.2.e.o.727.11		36	11.2	odd	10
1089.2.e.p.364.8		36	99.31	even	15
1089.2.e.p.727.8		36	11.9	even	5
9801.2.a.cm.1.11		18	99.97	even	15
9801.2.a.cn.1.11		18	99.2	even	30
9801.2.a.co.1.8		18	99.79	odd	30
9801.2.a.cp.1.8		18	99.20	odd	30

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:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.m (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0603978 - 0.574647i) q^{2} +(0.641057 - 1.60905i) q^{3} +(1.62972 - 0.346409i) q^{4} +(-0.314048 + 2.98797i) q^{5} +(-0.963355 - 0.271198i) q^{6} +(-0.779082 - 0.865259i) q^{7} +(-0.654602 - 2.01466i) q^{8} +(-2.17809 - 2.06299i) q^{9} +1.73599 q^{10} +(-0.565602 + 3.26804i) q^{11} +(0.487356 - 2.84438i) q^{12} +(-3.60501 - 1.60505i) q^{13} +(-0.450163 + 0.499957i) q^{14} +(4.60647 + 2.42078i) q^{15} +(1.92600 - 0.857509i) q^{16} +(0.254185 + 0.184677i) q^{17} +(-1.05394 + 1.37623i) q^{18} +(1.96794 + 6.05670i) q^{19} +(0.523246 + 4.97835i) q^{20} +(-1.89168 + 0.698904i) q^{21} +(1.91213 + 0.127639i) q^{22} +(0.0427501 + 0.0740453i) q^{23} +(-3.66132 - 0.238222i) q^{24} +(-3.93860 - 0.837174i) q^{25} +(-0.704604 + 2.16855i) q^{26} +(-4.71573 + 2.18217i) q^{27} +(-1.56942 - 1.14025i) q^{28} +(-5.15218 - 5.72208i) q^{29} +(1.11287 - 2.79330i) q^{30} +(5.96439 + 2.65552i) q^{31} +(-2.72743 - 4.72404i) q^{32} +(4.89586 + 3.00508i) q^{33} +(0.0907715 - 0.157221i) q^{34} +(2.83004 - 2.05614i) q^{35} +(-4.26433 - 2.60759i) q^{36} +(-1.92922 + 5.93753i) q^{37} +(3.36160 - 1.49668i) q^{38} +(-4.89363 + 4.77171i) q^{39} +(6.22531 - 1.32323i) q^{40} +(3.88703 - 4.31698i) q^{41} +(0.515876 + 1.04484i) q^{42} +(3.39229 - 5.87562i) q^{43} +(0.210303 + 5.52194i) q^{44} +(6.84817 - 5.86020i) q^{45} +(0.0399679 - 0.0290384i) q^{46} +(0.320574 + 0.0681401i) q^{47} +(-0.145103 - 3.64874i) q^{48} +(0.589996 - 5.61344i) q^{49} +(-0.243197 + 2.31387i) q^{50} +(0.460101 - 0.290609i) q^{51} +(-6.43117 - 1.36699i) q^{52} +(1.96000 - 1.42402i) q^{53} +(1.53880 + 2.57808i) q^{54} +(-9.58718 - 2.71632i) q^{55} +(-1.23321 + 2.13598i) q^{56} +(11.0071 + 0.716169i) q^{57} +(-2.97699 + 3.30629i) q^{58} +(2.24586 - 0.477372i) q^{59} +(8.34586 + 2.34948i) q^{60} +(-12.5039 + 5.56709i) q^{61} +(1.16575 - 3.58780i) q^{62} +(-0.0881031 + 3.49185i) q^{63} +(0.861321 - 0.625787i) q^{64} +(5.92799 - 10.2676i) q^{65} +(1.43116 - 2.99489i) q^{66} +(-5.83989 - 10.1150i) q^{67} +(0.478226 + 0.212920i) q^{68} +(0.146548 - 0.0213198i) q^{69} +(-1.35248 - 1.50208i) q^{70} +(-7.05272 - 5.12410i) q^{71} +(-2.73043 + 5.73855i) q^{72} +(0.910538 - 2.80235i) q^{73} +(3.52850 + 0.750007i) q^{74} +(-3.87192 + 5.80073i) q^{75} +(5.30529 + 9.18904i) q^{76} +(3.26835 - 2.05668i) q^{77} +(3.03761 + 2.52391i) q^{78} +(0.928965 + 8.83851i) q^{79} +(1.95735 + 6.02412i) q^{80} +(0.488175 + 8.98675i) q^{81} +(-2.71551 - 1.97293i) q^{82} +(4.52916 - 2.01651i) q^{83} +(-2.84081 + 1.79431i) q^{84} +(-0.631634 + 0.701501i) q^{85} +(-3.58129 - 1.59449i) q^{86} +(-12.5100 + 4.62195i) q^{87} +(6.95423 - 0.999772i) q^{88} +2.12862 q^{89} +(-3.78116 - 3.58133i) q^{90} +(1.41981 + 4.36973i) q^{91} +(0.0953208 + 0.105864i) q^{92} +(8.09637 - 7.89467i) q^{93} +(0.0197945 - 0.188332i) q^{94} +(-18.7153 + 3.97805i) q^{95} +(-9.34966 + 1.36019i) q^{96} +(0.00928623 + 0.0883526i) q^{97} -3.26138 q^{98} +(7.97386 - 5.95127i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) \) 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

Introduction

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