LMFDB - Embedded newform 280.2.ba.b.19.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(19,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 3, 5]))

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

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

chi := DirichletCharacter("280.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.ba (of order $6$, degree $2$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$40$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			19.1
Character	$\chi$	$=$	280.19
Dual form			280.2.ba.b.59.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41178 + 0.0828556i) q^{2} +(0.653375 + 1.13168i) q^{3} +(1.98627 - 0.233948i) q^{4} +(1.67181 + 1.48495i) q^{5} +(-1.01619 - 1.54355i) q^{6} +(1.03631 + 2.43435i) q^{7} +(-2.78480 + 0.494858i) q^{8} +(0.646203 - 1.11926i) q^{9} +O(q^{10})$	\(q+(-1.41178 + 0.0828556i) q^{2} +(0.653375 + 1.13168i) q^{3} +(1.98627 - 0.233948i) q^{4} +(1.67181 + 1.48495i) q^{5} +(-1.01619 - 1.54355i) q^{6} +(1.03631 + 2.43435i) q^{7} +(-2.78480 + 0.494858i) q^{8} +(0.646203 - 1.11926i) q^{9} +(-2.48327 - 1.95791i) q^{10} +(0.168671 + 0.292146i) q^{11} +(1.56253 + 2.09496i) q^{12} +1.29865i q^{13} +(-1.66474 - 3.35092i) q^{14} +(-0.588166 + 2.86217i) q^{15} +(3.89054 - 0.929369i) q^{16} +(-3.41832 - 5.92071i) q^{17} +(-0.819562 + 1.63369i) q^{18} +(-0.551990 - 0.318691i) q^{19} +(3.66806 + 2.55839i) q^{20} +(-2.07781 + 2.76331i) q^{21} +(-0.262332 - 0.398472i) q^{22} +(-1.51602 + 2.62582i) q^{23} +(-2.37954 - 2.82817i) q^{24} +(0.589869 + 4.96508i) q^{25} +(-0.107601 - 1.83342i) q^{26} +5.60910 q^{27} +(2.62790 + 4.59284i) q^{28} +5.90687i q^{29} +(0.593216 - 4.08950i) q^{30} +(1.08115 + 1.87261i) q^{31} +(-5.41559 + 1.63442i) q^{32} +(-0.220410 + 0.381762i) q^{33} +(5.31650 + 8.07554i) q^{34} +(-1.88238 + 5.60862i) q^{35} +(1.02169 - 2.37432i) q^{36} +(4.30421 - 7.45510i) q^{37} +(0.805696 + 0.404188i) q^{38} +(-1.46966 + 0.848507i) q^{39} +(-5.39048 - 3.30797i) q^{40} -5.28231i q^{41} +(2.70446 - 4.07335i) q^{42} +10.6010i q^{43} +(0.403372 + 0.540820i) q^{44} +(2.74236 - 0.911602i) q^{45} +(1.92272 - 3.83270i) q^{46} +(-7.78384 - 4.49400i) q^{47} +(3.59373 + 3.79561i) q^{48} +(-4.85214 + 5.04547i) q^{49} +(-1.24415 - 6.96075i) q^{50} +(4.46689 - 7.73688i) q^{51} +(0.303818 + 2.57948i) q^{52} +(-3.63168 - 6.29026i) q^{53} +(-7.91884 + 0.464745i) q^{54} +(-0.151837 + 0.738878i) q^{55} +(-4.09056 - 6.26636i) q^{56} -0.832900i q^{57} +(-0.489417 - 8.33922i) q^{58} +(7.50354 - 4.33217i) q^{59} +(-0.498655 + 5.82265i) q^{60} +(3.97207 - 6.87982i) q^{61} +(-1.68151 - 2.55414i) q^{62} +(3.39433 + 0.413194i) q^{63} +(7.51023 - 2.75616i) q^{64} +(-1.92843 + 2.17110i) q^{65} +(0.279541 - 0.557227i) q^{66} +(10.9447 - 6.31895i) q^{67} +(-8.17485 - 10.9604i) q^{68} -3.96211 q^{69} +(2.19281 - 8.07413i) q^{70} +3.53507i q^{71} +(-1.24567 + 3.43668i) q^{72} +(-5.93618 - 10.2818i) q^{73} +(-5.45891 + 10.8816i) q^{74} +(-5.23347 + 3.91160i) q^{75} +(-1.17096 - 0.503870i) q^{76} +(-0.536392 + 0.713356i) q^{77} +(2.00454 - 1.31968i) q^{78} +(-8.96466 - 5.17575i) q^{79} +(7.88428 + 4.22351i) q^{80} +(1.72624 + 2.98993i) q^{81} +(0.437669 + 7.45749i) q^{82} -3.76821 q^{83} +(-3.48061 + 5.97478i) q^{84} +(3.07716 - 14.9743i) q^{85} +(-0.878353 - 14.9663i) q^{86} +(-6.68467 + 3.85940i) q^{87} +(-0.614285 - 0.730100i) q^{88} +(-6.43915 - 3.71765i) q^{89} +(-3.79609 + 1.51421i) q^{90} +(-3.16138 + 1.34580i) q^{91} +(-2.39691 + 5.57025i) q^{92} +(-1.41279 + 2.44703i) q^{93} +(11.3615 + 5.69962i) q^{94} +(-0.449580 - 1.35247i) q^{95} +(-5.38805 - 5.06082i) q^{96} +6.03558 q^{97} +(6.43213 - 7.52514i) q^{98} +0.435982 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 6 q^{4} - 52 q^{9}+O(q^{10}) $ 80 * q + 6 * q^4 - 52 * q^9	$ 80 q + 6 q^{4} - 52 q^{9} - 12 q^{10} - 6 q^{14} + 10 q^{16} - 48 q^{19} + 12 q^{24} - 22 q^{25} + 54 q^{26} - 20 q^{30} - 22 q^{35} + 28 q^{36} + 12 q^{40} + 38 q^{44} + 14 q^{46} + 16 q^{49} - 40 q^{50} + 20 q^{51} + 60 q^{54} - 104 q^{56} - 60 q^{59} - 42 q^{60} - 60 q^{64} - 12 q^{65} + 84 q^{66} - 22 q^{70} + 34 q^{74} - 6 q^{75} - 96 q^{80} - 100 q^{84} - 8 q^{86} - 36 q^{89} + 72 q^{91} - 66 q^{94} + 96 q^{96} + 104 q^{99}+O(q^{100}) $ 80 * q + 6 * q^4 - 52 * q^9 - 12 * q^10 - 6 * q^14 + 10 * q^16 - 48 * q^19 + 12 * q^24 - 22 * q^25 + 54 * q^26 - 20 * q^30 - 22 * q^35 + 28 * q^36 + 12 * q^40 + 38 * q^44 + 14 * q^46 + 16 * q^49 - 40 * q^50 + 20 * q^51 + 60 * q^54 - 104 * q^56 - 60 * q^59 - 42 * q^60 - 60 * q^64 - 12 * q^65 + 84 * q^66 - 22 * q^70 + 34 * q^74 - 6 * q^75 - 96 * q^80 - 100 * q^84 - 8 * q^86 - 36 * q^89 + 72 * q^91 - 66 * q^94 + 96 * q^96 + 104 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$-1$	$-1$	$-1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−1.41178	+	0.0828556i	−0.998282	+	0.0585877i
$2$	−1.41178	+	0.0828556i	−0.998282	+	0.0585877i
$3$	0.653375	+	1.13168i	0.377226	+	0.653375i	0.990658	−	0.136373i	$-0.0435446\pi$
$3$	0.653375	+	1.13168i	0.377226	+	0.653375i	−0.613431	+	0.789748i	$0.710211\pi$
$4$	1.98627	−	0.233948i	0.993135	−	0.116974i
$5$	1.67181	+	1.48495i	0.747654	+	0.664088i
$5$	1.67181	+	1.48495i	0.747654	+	0.664088i
$6$	−1.01619	−	1.54355i	−0.414858	−	0.630152i
$7$	1.03631	+	2.43435i	0.391687	+	0.920099i
$7$	1.03631	+	2.43435i	0.391687	+	0.920099i
$8$	−2.78480	+	0.494858i	−0.984576	+	0.174959i
$9$	0.646203	−	1.11926i	0.215401	−	0.373085i
$10$	−2.48327	−	1.95791i	−0.785277	−	0.619144i
$11$	0.168671	+	0.292146i	0.0508561	+	0.0880853i	0.890333	−	0.455310i	$-0.150472\pi$
$11$	0.168671	+	0.292146i	0.0508561	+	0.0880853i	−0.839477	+	0.543396i	$0.817138\pi$
$12$	1.56253	+	2.09496i	0.451064	+	0.604764i
$13$			1.29865i			0.360182i	0.983650	+	0.180091i	$0.0576391\pi$
$13$			1.29865i			0.360182i	−0.983650	+	0.180091i	$0.942361\pi$
$14$	−1.66474	−	3.35092i	−0.444920	−	0.895570i
$15$	−0.588166	+	2.86217i	−0.151864	+	0.739010i
$16$	3.89054	−	0.929369i	0.972634	−	0.232342i
$17$	−3.41832	−	5.92071i	−0.829065	−	1.43598i	−0.898773	−	0.438415i	$-0.855540\pi$
$17$	−3.41832	−	5.92071i	−0.829065	−	1.43598i	0.0697076	−	0.997567i	$-0.477793\pi$
$18$	−0.819562	+	1.63369i	−0.193173	+	0.385064i
$19$	−0.551990	−	0.318691i	−0.126635	−	0.0731128i	0.435344	−	0.900264i	$-0.356627\pi$
$19$	−0.551990	−	0.318691i	−0.126635	−	0.0731128i	−0.561979	+	0.827151i	$0.689960\pi$
$20$	3.66806	+	2.55839i	0.820203	+	0.572073i
$21$	−2.07781	+	2.76331i	−0.453415	+	0.603003i
$22$	−0.262332	−	0.398472i	−0.0559294	−	0.0849545i
$23$	−1.51602	+	2.62582i	−0.316111	+	0.547521i	−0.979673	−	0.200601i	$-0.935711\pi$
$23$	−1.51602	+	2.62582i	−0.316111	+	0.547521i	0.663562	+	0.748121i	$0.269044\pi$
$24$	−2.37954	−	2.82817i	−0.485721	−	0.577298i
$25$	0.589869	+	4.96508i	0.117974	+	0.993017i
$26$	−0.107601	−	1.83342i	−0.0211022	−	0.359563i
$27$	5.60910			1.07947
$28$	2.62790	+	4.59284i	0.496626	+	0.867965i
$29$			5.90687i			1.09688i	0.836191	+	0.548439i	$0.184778\pi$
$29$			5.90687i			1.09688i	−0.836191	+	0.548439i	$0.815222\pi$
$30$	0.593216	−	4.08950i	0.108306	−	0.746638i
$31$	1.08115	+	1.87261i	0.194181	+	0.336331i	0.946632	−	0.322318i	$-0.104462\pi$
$31$	1.08115	+	1.87261i	0.194181	+	0.336331i	−0.752451	+	0.658648i	$0.771129\pi$
$32$	−5.41559	+	1.63442i	−0.957351	+	0.288928i
$33$	−0.220410	+	0.381762i	−0.0383685	+	0.0664562i
$34$	5.31650	+	8.07554i	0.911772	+	1.38494i
$35$	−1.88238	+	5.60862i	−0.318180	+	0.948030i
$36$	1.02169	−	2.37432i	0.170281	−	0.395720i
$37$	4.30421	−	7.45510i	0.707607	−	1.22561i	−0.258135	−	0.966109i	$-0.583108\pi$
$37$	4.30421	−	7.45510i	0.707607	−	1.22561i	0.965742	−	0.259503i	$-0.0835587\pi$
$38$	0.805696	+	0.404188i	0.130701	+	0.0655680i
$39$	−1.46966	+	0.848507i	−0.235334	+	0.135870i
$40$	−5.39048	−	3.30797i	−0.852310	−	0.523036i
$41$		−	5.28231i		−	0.824959i	−0.910967	−	0.412479i	$-0.864663\pi$
$41$		−	5.28231i		−	0.824959i	0.910967	−	0.412479i	$-0.135337\pi$
$42$	2.70446	−	4.07335i	0.417307	−	0.628532i
$43$			10.6010i			1.61664i	0.588744	+	0.808320i	$0.299623\pi$
$43$			10.6010i			1.61664i	−0.588744	+	0.808320i	$0.700377\pi$
$44$	0.403372	+	0.540820i	0.0608107	+	0.0815318i
$45$	2.74236	−	0.911602i	0.408807	−	0.135894i
$46$	1.92272	−	3.83270i	0.283490	−	0.565100i
$47$	−7.78384	−	4.49400i	−1.13539	−	0.655517i	−0.190105	−	0.981764i	$-0.560883\pi$
$47$	−7.78384	−	4.49400i	−1.13539	−	0.655517i	−0.945285	+	0.326247i	$0.894216\pi$
$48$	3.59373	+	3.79561i	0.518710	+	0.547849i
$49$	−4.85214	+	5.04547i	−0.693163	+	0.720781i
$50$	−1.24415	−	6.96075i	−0.175950	−	0.984399i
$51$	4.46689	−	7.73688i	0.625490	−	1.08338i
$52$	0.303818	+	2.57948i	0.0421319	+	0.357709i
$53$	−3.63168	−	6.29026i	−0.498850	−	0.864034i	0.501149	−	0.865361i	$-0.332911\pi$
$53$	−3.63168	−	6.29026i	−0.498850	−	0.864034i	−0.999999	+	0.00132737i	$0.999577\pi$
$54$	−7.91884	+	0.464745i	−1.07762	+	0.0632438i
$55$	−0.151837	+	0.738878i	−0.0204737	+	0.0996303i
$56$	−4.09056	−	6.26636i	−0.546625	−	0.837378i
$57$		−	0.832900i		−	0.110320i
$58$	−0.489417	−	8.33922i	−0.0642636	−	1.09499i
$59$	7.50354	−	4.33217i	0.976877	−	0.564000i	0.0755513	−	0.997142i	$-0.475928\pi$
$59$	7.50354	−	4.33217i	0.976877	−	0.564000i	0.901326	+	0.433142i	$0.142595\pi$
$60$	−0.498655	+	5.82265i	−0.0643761	+	0.751701i
$61$	3.97207	−	6.87982i	0.508571	−	0.880871i	−0.491380	−	0.870945i	$-0.663507\pi$
$61$	3.97207	−	6.87982i	0.508571	−	0.880871i	0.999951	−	0.00992531i	$-0.00315937\pi$
$62$	−1.68151	−	2.55414i	−0.213552	−	0.324376i
$63$	3.39433	+	0.413194i	0.427645	+	0.0520575i
$64$	7.51023	−	2.75616i	0.938779	−	0.344520i
$65$	−1.92843	+	2.17110i	−0.239192	+	0.269291i
$66$	0.279541	−	0.557227i	0.0344091	−	0.0685899i
$67$	10.9447	−	6.31895i	1.33711	−	0.771983i	0.350735	−	0.936475i	$-0.385932\pi$
$67$	10.9447	−	6.31895i	1.33711	−	0.771983i	0.986378	+	0.164492i	$0.0525985\pi$
$68$	−8.17485	−	10.9604i	−0.991346	−	1.32915i
$69$	−3.96211			−0.476981
$70$	2.19281	−	8.07413i	0.262091	−	0.965043i
$71$			3.53507i			0.419536i	0.977751	+	0.209768i	$0.0672708\pi$
$71$			3.53507i			0.419536i	−0.977751	+	0.209768i	$0.932729\pi$
$72$	−1.24567	+	3.43668i	−0.146804	+	0.405017i
$73$	−5.93618	−	10.2818i	−0.694777	−	1.20339i	−0.970256	−	0.242082i	$-0.922170\pi$
$73$	−5.93618	−	10.2818i	−0.694777	−	1.20339i	0.275479	−	0.961307i	$-0.411164\pi$
$74$	−5.45891	+	10.8816i	−0.634586	+	1.26496i
$75$	−5.23347	+	3.91160i	−0.604309	+	0.451673i
$76$	−1.17096	−	0.503870i	−0.134318	−	0.0577979i
$77$	−0.536392	+	0.713356i	−0.0611275	+	0.0812945i
$78$	2.00454	−	1.31968i	0.226969	−	0.149424i
$79$	−8.96466	−	5.17575i	−1.00860	−	0.582317i	−0.0978208	−	0.995204i	$-0.531187\pi$
$79$	−8.96466	−	5.17575i	−1.00860	−	0.582317i	−0.910782	+	0.412887i	$0.864521\pi$
$80$	7.88428	+	4.22351i	0.881490	+	0.472203i
$81$	1.72624	+	2.98993i	0.191804	+	0.332214i
$82$	0.437669	+	7.45749i	0.0483325	+	0.823542i
$83$	−3.76821			−0.413615			−0.206807	−	0.978382i	$-0.566307\pi$
$83$	−3.76821			−0.413615			−0.206807	+	0.978382i	$0.566307\pi$
$84$	−3.48061	+	5.97478i	−0.379766	+	0.651902i
$85$	3.07716	−	14.9743i	0.333765	−	1.62419i
$86$	−0.878353	−	14.9663i	−0.0947153	−	1.61386i
$87$	−6.68467	+	3.85940i	−0.716672	+	0.413771i
$88$	−0.614285	−	0.730100i	−0.0654830	−	0.0778289i
$89$	−6.43915	−	3.71765i	−0.682549	−	0.394070i	0.118266	−	0.992982i	$-0.462266\pi$
$89$	−6.43915	−	3.71765i	−0.682549	−	0.394070i	−0.800815	+	0.598912i	$0.795600\pi$
$90$	−3.79609	+	1.51421i	−0.400143	+	0.159611i
$91$	−3.16138	+	1.34580i	−0.331403	+	0.141078i
$92$	−2.39691	+	5.57025i	−0.249895	+	0.580739i
$93$	−1.41279	+	2.44703i	−0.146500	+	0.253745i
$94$	11.3615	+	5.69962i	1.17184	+	0.587871i
$95$	−0.449580	−	1.35247i	−0.0461259	−	0.138760i
$96$	−5.38805	−	5.06082i	−0.549916	−	0.516518i
$97$	6.03558			0.612820			0.306410	−	0.951900i	$-0.400872\pi$
$97$	6.03558			0.612820			0.306410	+	0.951900i	$0.400872\pi$
$98$	6.43213	−	7.52514i	0.649743	−	0.760154i
$99$	0.435982			0.0438178
$100$	2.33321	+	9.72400i	0.233321	+	0.972400i
$101$	0.757059	+	1.31127i	0.0753302	+	0.130476i	0.901230	−	0.433341i	$-0.142666\pi$
$101$	0.757059	+	1.31127i	0.0753302	+	0.130476i	−0.825900	+	0.563817i	$0.809332\pi$
$102$	−5.66524	+	11.2929i	−0.560943	+	1.11817i
$103$	6.60049	+	3.81079i	0.650366	+	0.375489i	0.788596	−	0.614911i	$-0.210808\pi$
$103$	6.60049	+	3.81079i	0.650366	+	0.375489i	−0.138231	+	0.990400i	$0.544142\pi$
$104$	−0.642649	−	3.61649i	−0.0630169	−	0.354626i
$105$	−7.57706	+	1.53428i	−0.739445	+	0.149731i
$106$	5.64834	+	8.57958i	0.548615	+	0.833323i
$107$	1.68270	+	0.971509i	0.162673	+	0.0939193i	0.579126	−	0.815238i	$-0.303394\pi$
$107$	1.68270	+	0.971509i	0.162673	+	0.0939193i	−0.416453	+	0.909157i	$0.636727\pi$
$108$	11.1412	−	1.31224i	1.07206	−	0.126270i
$109$	1.32933	−	0.767488i	0.127326	−	0.0735120i	−0.434984	−	0.900438i	$-0.643246\pi$
$109$	1.32933	−	0.767488i	0.127326	−	0.0735120i	0.562310	+	0.826926i	$0.309913\pi$
$110$	0.153140	−	1.05572i	0.0146014	−	0.100659i
$111$	11.2490			1.06771
$112$	6.29420	+	8.50782i	0.594746	+	0.803914i
$113$			6.74556i			0.634569i	0.948330	+	0.317285i	$0.102771\pi$
$113$			6.74556i			0.634569i	−0.948330	+	0.317285i	$0.897229\pi$
$114$	0.0690104	+	1.17587i	0.00646342	+	0.110131i
$115$	−6.43368	+	2.13865i	−0.599944	+	0.199430i
$116$	1.38190	+	11.7326i	0.128306	+	1.08935i
$117$	1.45353	+	0.839193i	0.134378	+	0.0775834i
$118$	−10.2344	+	6.73780i	−0.942156	+	0.620265i
$119$	10.8707	−	14.4571i	0.996512	−	1.32528i
$120$	0.221555	−	8.26164i	0.0202251	−	0.754181i
$121$	5.44310	−	9.42773i	0.494827	−	0.857066i
$122$	−5.03767	+	10.0419i	−0.456089	+	0.909154i
$123$	5.97788	−	3.45133i	0.539007	−	0.311196i
$124$	2.58555	+	3.46657i	0.232189	+	0.311307i
$125$	−6.38674	+	9.17658i	−0.571247	+	0.820778i
$126$	−4.82629	−	0.302101i	−0.429960	−	0.0269133i
$127$	4.49296			0.398686			0.199343	−	0.979930i	$-0.436119\pi$
$127$	4.49296			0.398686			0.199343	+	0.979930i	$0.436119\pi$
$128$	−10.3745	+	4.51337i	−0.916982	+	0.398930i
$129$	−11.9969	+	6.92644i	−1.05627	+	0.609839i
$130$	2.54264	−	3.22490i	0.223004	−	0.282842i
$131$	−4.26159	−	2.46043i	−0.372336	−	0.214969i	0.302142	−	0.953263i	$-0.402298\pi$
$131$	−4.26159	−	2.46043i	−0.372336	−	0.214969i	−0.674479	+	0.738294i	$0.735632\pi$
$132$	−0.348482	+	0.809846i	−0.0303314	+	0.0704881i
$133$	0.203777	−	1.67400i	0.0176697	−	0.145154i
$134$	−14.9281	+	9.82783i	−1.28959	+	0.848995i
$135$	9.37732	+	8.32921i	0.807072	+	0.716864i
$136$	12.4493	+	14.7964i	1.06752	+	1.26878i
$137$	14.2291	−	8.21516i	1.21567	−	0.701868i	0.251682	−	0.967810i	$-0.419016\pi$
$137$	14.2291	−	8.21516i	1.21567	−	0.701868i	0.963989	+	0.265942i	$0.0856829\pi$
$138$	5.59364	−	0.328283i	0.476162	−	0.0279453i
$139$			9.85042i			0.835502i	0.908562	+	0.417751i	$0.137182\pi$
$139$			9.85042i			0.835502i	−0.908562	+	0.417751i	$0.862818\pi$
$140$	−2.42679	+	11.5806i	−0.205101	+	0.978741i
$141$		−	11.7451i		−	0.989113i
$142$	−0.292900	−	4.99076i	−0.0245797	−	0.418815i
$143$	−0.379396	+	0.219044i	−0.0317267	+	0.0183174i
$144$	1.47387	−	4.95507i	0.122823	−	0.412922i
$145$	−8.77138	+	9.87513i	−0.728423	+	0.820085i
$146$	9.23250	+	14.0238i	0.764087	+	1.16062i
$147$	−8.88011	−	2.19448i	−0.732419	−	0.180998i
$148$	6.80521	−	15.8148i	0.559385	−	1.29997i
$149$	12.5917	+	7.26981i	1.03155	+	0.595566i	0.917428	−	0.397901i	$-0.130261\pi$
$149$	12.5917	+	7.26981i	1.03155	+	0.595566i	0.114122	+	0.993467i	$0.463595\pi$
$150$	7.06444	−	5.95596i	0.576809	−	0.486302i
$151$	−6.58039	+	3.79919i	−0.535504	+	0.309174i	−0.743255	−	0.669008i	$-0.766719\pi$
$151$	−6.58039	+	3.79919i	−0.535504	+	0.309174i	0.207751	+	0.978182i	$0.433386\pi$
$152$	1.69489	+	0.614336i	0.137474	+	0.0498292i
$153$	−8.83572			−0.714326
$154$	0.698164	−	1.05155i	0.0562597	−	0.0847361i
$155$	−0.973249	+	4.73609i	−0.0781732	+	0.380412i
$156$	−2.72063	+	2.02919i	−0.217825	+	0.162465i
$157$	−15.6636	+	9.04339i	−1.25009	+	0.721741i	−0.971128	−	0.238561i	$-0.923324\pi$
$157$	−15.6636	+	9.04339i	−1.25009	+	0.721741i	−0.278964	+	0.960302i	$0.589991\pi$
$158$	13.0850	+	6.56427i	1.04099	+	0.522225i
$159$	4.74570	−	8.21979i	0.376358	−	0.651872i
$160$	−11.4809	−	5.30943i	−0.907641	−	0.419747i
$161$	−7.96322	−	0.969367i	−0.627589	−	0.0763968i
$162$	−2.68480	−	4.07810i	−0.210938	−	0.320406i
$163$	−6.40416	−	3.69745i	−0.501613	−	0.289606i	0.227766	−	0.973716i	$-0.426858\pi$
$163$	−6.40416	−	3.69745i	−0.501613	−	0.289606i	−0.729379	+	0.684109i	$0.760191\pi$
$164$	−1.23579	−	10.4921i	−0.0964989	−	0.819295i
$165$	−0.935378	+	0.310934i	−0.0728191	+	0.0242062i
$166$	5.31990	−	0.312217i	0.412904	−	0.0242327i
$167$		−	18.7215i		−	1.44872i	−0.689424	−	0.724358i	$-0.742136\pi$
$167$		−	18.7215i		−	1.44872i	0.689424	−	0.724358i	$-0.257864\pi$
$168$	4.41883	−	8.72349i	0.340920	−	0.673032i
$169$	11.3135			0.870269
$170$	−3.10359	+	21.3954i	−0.238034	+	1.64096i
$171$	−0.713395	+	0.411879i	−0.0545547	+	0.0314971i
$172$	2.48009	+	21.0565i	0.189105	+	1.60554i
$173$	8.41281	+	4.85714i	0.639614	+	0.369281i	0.784466	−	0.620172i	$-0.212937\pi$
$173$	8.41281	+	4.85714i	0.639614	+	0.369281i	−0.144852	+	0.989453i	$0.546271\pi$
$174$	9.11754	−	6.00250i	0.691199	−	0.455048i
$175$	−11.4755	+	6.58129i	−0.867465	+	0.497499i
$176$	0.927730	+	0.979847i	0.0699303	+	0.0738588i
$177$	9.80524	+	5.66106i	0.737007	+	0.425511i
$178$	9.39872	+	4.71499i	0.704464	+	0.353404i
$179$	1.19445	+	2.06885i	0.0892775	+	0.154633i	0.907206	−	0.420687i	$-0.138211\pi$
$179$	1.19445	+	2.06885i	0.0892775	+	0.154633i	−0.817928	+	0.575320i	$0.804878\pi$
$180$	5.23380	−	2.45226i	0.390104	−	0.182781i
$181$	−9.87158			−0.733749			−0.366874	−	0.930270i	$-0.619572\pi$
$181$	−9.87158			−0.733749			−0.366874	+	0.930270i	$0.619572\pi$
$182$	4.35168	−	2.16192i	0.322568	−	0.160252i
$183$	10.3810			0.767385
$184$	2.92240	−	8.06259i	0.215442	−	0.594382i
$185$	18.2662	−	6.07197i	1.34296	−	0.446420i
$186$	1.79181	−	3.57174i	0.131382	−	0.261893i
$187$	1.15314	−	1.99730i	0.0843260	−	0.146057i
$188$	−16.5122	−	7.10528i	−1.20427	−	0.518206i
$189$	5.81274	+	13.6545i	0.422815	+	0.993220i
$190$	0.746769	+	1.87214i	0.0541763	+	0.135819i
$191$	−11.1524	−	6.43881i	−0.806956	−	0.465896i	0.0389418	−	0.999241i	$-0.487601\pi$
$191$	−11.1524	−	6.43881i	−0.806956	−	0.465896i	−0.845898	+	0.533345i	$0.820935\pi$
$192$	8.02609	+	6.69836i	0.579233	+	0.483412i
$193$	4.28850	−	2.47597i	0.308693	−	0.178224i	−0.337649	−	0.941272i	$-0.609632\pi$
$193$	4.28850	−	2.47597i	0.308693	−	0.178224i	0.646341	+	0.763048i	$0.276298\pi$
$194$	−8.52093	+	0.500081i	−0.611767	+	0.0359037i
$195$	−3.71697	−	0.763823i	−0.266178	−	0.0546985i
$196$	−8.45728	+	11.1568i	−0.604092	+	0.796915i
$197$	−6.56633			−0.467831			−0.233916	−	0.972257i	$-0.575154\pi$
$197$	−6.56633			−0.467831			−0.233916	+	0.972257i	$0.575154\pi$
$198$	−0.615512	+	0.0361235i	−0.0437425	+	0.00256719i
$199$	−13.8184	−	23.9342i	−0.979560	−	1.69665i	−0.663983	−	0.747748i	$-0.731135\pi$
$199$	−13.8184	−	23.9342i	−0.979560	−	1.69665i	−0.315577	−	0.948900i	$-0.602198\pi$
$200$	−4.09968	−	13.5349i	−0.289891	−	0.957060i
$201$	14.3020	+	8.25729i	1.00879	+	0.582424i
$202$	−1.17745	−	1.78850i	−0.0828451	−	0.125838i
$203$	−14.3794	+	6.12132i	−1.00924	+	0.429632i
$204$	7.06242	−	16.4126i	0.494468	−	1.14911i
$205$	7.84395	−	8.83100i	0.547845	−	0.616784i
$206$	−9.63421	−	4.83313i	−0.671247	−	0.336740i
$207$	1.95931	+	3.39362i	0.136181	+	0.235873i
$208$	1.20693	+	5.05246i	0.0836854	+	0.350325i
$209$		−	0.215015i		−	0.0148729i
$210$	10.5700	−	2.79388i	0.729402	−	0.192796i
$211$	−16.2713			−1.12016			−0.560080	−	0.828439i	$-0.689230\pi$
$211$	−16.2713			−1.12016			−0.560080	+	0.828439i	$0.689230\pi$
$212$	−8.68510	−	11.6445i	−0.596495	−	0.799749i
$213$	−4.00056	+	2.30973i	−0.274114	+	0.158260i
$214$	−2.45611	−	1.23214i	−0.167896	−	0.0842273i
$215$	−15.7419	+	17.7228i	−1.07359	+	1.20869i
$216$	−15.6202	+	2.77571i	−1.06282	+	0.188863i
$217$	−3.43819	+	4.57250i	−0.233399	+	0.310401i
$218$	−1.81313	+	1.19367i	−0.122801	+	0.0808455i
$219$	7.75709	−	13.4357i	0.524176	−	0.907899i
$220$	−0.128729	+	1.50313i	−0.00867893	+	0.101341i
$221$	7.68895	−	4.43921i	0.517214	−	0.298614i
$222$	−15.8812	+	0.932046i	−1.06588	+	0.0625548i
$223$		−	1.78444i		−	0.119495i	−0.998214	−	0.0597475i	$-0.980970\pi$
$223$		−	1.78444i		−	0.119495i	0.998214	−	0.0597475i	$-0.0190296\pi$
$224$	−9.59097	−	11.4897i	−0.640824	−	0.767688i
$225$	5.93838	+	2.54824i	0.395892	+	0.169882i
$226$	−0.558908	−	9.52328i	−0.0371780	−	0.633479i
$227$	−10.5973	−	18.3551i	−0.703368	−	1.21827i	−0.967277	−	0.253722i	$-0.918345\pi$
$227$	−10.5973	−	18.3551i	−0.703368	−	1.21827i	0.263909	−	0.964548i	$-0.414988\pi$
$228$	−0.194856	−	1.65436i	−0.0129046	−	0.109563i
$229$	−4.07746	+	7.06236i	−0.269446	+	0.466694i	−0.968719	−	0.248161i	$-0.920174\pi$
$229$	−4.07746	+	7.06236i	−0.269446	+	0.466694i	0.699273	+	0.714855i	$0.253507\pi$
$230$	8.90577	−	3.55238i	0.587229	−	0.234237i
$231$	−1.15775	−	0.140934i	−0.0761746	−	0.00927279i
$232$	−2.92306	−	16.4494i	−0.191908	−	1.07996i
$233$	23.4709	+	13.5509i	1.53763	+	0.887750i	0.998977	+	0.0452221i	$0.0143995\pi$
$233$	23.4709	+	13.5509i	1.53763	+	0.887750i	0.538652	+	0.842528i	$0.318934\pi$
$234$	−2.12160	−	1.06433i	−0.138693	−	0.0695772i
$235$	−6.33971	−	19.0717i	−0.413557	−	1.24410i
$236$	13.8905	−	10.3603i	0.904197	−	0.674398i
$237$		−	13.5268i		−	0.878661i
$238$	−14.1492	+	21.3110i	−0.917155	+	1.38138i
$239$			18.6789i			1.20824i	0.796894	+	0.604119i	$0.206475\pi$
$239$			18.6789i			1.20824i	−0.796894	+	0.604119i	$0.793525\pi$
$240$	0.371735	+	11.6820i	0.0239954	+	0.754071i
$241$	−17.4676	+	10.0849i	−1.12518	+	0.649625i	−0.942719	−	0.333587i	$-0.891741\pi$
$241$	−17.4676	+	10.0849i	−1.12518	+	0.649625i	−0.182465	+	0.983212i	$0.558408\pi$
$242$	−6.90334	+	13.7609i	−0.443764	+	0.884585i
$243$	6.15789	−	10.6658i	0.395029	−	0.684210i
$244$	6.28007	−	14.5944i	0.402040	−	0.934313i
$245$	−15.6041	+	1.22987i	−0.996908	+	0.0785736i
$246$	−8.15351	+	5.36783i	−0.519849	+	0.342241i
$247$	0.413870	−	0.716843i	0.0263339	−	0.0456116i
$248$	−3.93747	−	4.67983i	−0.250029	−	0.297169i
$249$	−2.46205	−	4.26440i	−0.156026	−	0.270245i
$250$	8.25636	−	13.4845i	0.522178	−	0.852836i
$251$			21.5319i			1.35908i	0.733637	+	0.679542i	$0.237821\pi$
$251$			21.5319i			1.35908i	−0.733637	+	0.679542i	$0.762179\pi$
$252$	6.83872	+	0.0266164i	0.430799	+	0.00167668i
$253$	−1.02283			−0.0643047
$254$	−6.34310	+	0.372267i	−0.398001	+	0.0233581i
$255$	18.9566	−	6.30147i	1.18711	−	0.394613i
$256$	14.2725	−	7.23149i	0.892034	−	0.451968i
$257$	4.89663	−	8.48121i	0.305443	−	0.529043i	−0.671917	−	0.740627i	$-0.734529\pi$
$257$	4.89663	−	8.48121i	0.305443	−	0.529043i	0.977360	+	0.211583i	$0.0678620\pi$
$258$	16.3632	−	10.7726i	1.01873	−	0.670676i
$259$	22.6088	+	2.75219i	1.40484	+	0.171013i
$260$	−3.32246	+	4.76353i	−0.206050	+	0.295422i
$261$	6.61130	+	3.81703i	0.409229	+	0.236268i
$262$	6.22030	+	3.12050i	0.384291	+	0.192785i
$263$	−8.74263	−	15.1427i	−0.539094	−	0.933737i	−0.998953	−	0.0457458i	$-0.985434\pi$
$263$	−8.74263	−	15.1427i	−0.539094	−	0.933737i	0.459860	−	0.887992i	$-0.347900\pi$
$264$	0.424880	−	1.17220i	0.0261496	−	0.0721440i
$265$	3.26923	−	15.9089i	0.200827	−	0.977279i
$266$	−0.148989	+	2.38021i	−0.00913510	+	0.145940i
$267$		−	9.71606i		−	0.594613i
$268$	20.2609	−	15.1116i	1.23763	−	0.923091i
$269$	9.86300	+	17.0832i	0.601358	+	1.04158i	0.992616	+	0.121301i	$0.0387067\pi$
$269$	9.86300	+	17.0832i	0.601358	+	1.04158i	−0.391258	+	0.920281i	$0.627960\pi$
$270$	−13.9289	−	10.9821i	−0.847685	−	0.668348i
$271$	−2.58340	+	4.47458i	−0.156930	+	0.271811i	−0.933760	−	0.357899i	$-0.883493\pi$
$271$	−2.58340	+	4.47458i	−0.156930	+	0.271811i	0.776830	+	0.629710i	$0.216826\pi$
$272$	−18.8016	−	19.8578i	−1.14002	−	1.20406i
$273$	−3.58858	−	2.69835i	−0.217191	−	0.163312i
$274$	−19.4077	+	12.7770i	−1.17246	+	0.771886i
$275$	−1.35104	+	1.00979i	−0.0814705	+	0.0608927i
$276$	−7.86981	+	0.926928i	−0.473707	+	0.0557945i
$277$	7.49971	+	12.9899i	0.450614	+	0.780486i	0.998424	−	0.0561162i	$-0.0178717\pi$
$277$	7.49971	+	12.9899i	0.450614	+	0.780486i	−0.547810	+	0.836603i	$0.684538\pi$
$278$	−0.816163	−	13.9067i	−0.0489502	−	0.834067i
$279$	2.79457			0.167307
$280$	2.46658	−	16.5504i	0.147406	−	0.989076i
$281$	23.7107			1.41446			0.707232	−	0.706981i	$-0.249944\pi$
$281$	23.7107			1.41446			0.707232	+	0.706981i	$0.249944\pi$
$282$	0.973144	+	16.5815i	0.0579499	+	0.987414i
$283$	−5.91985	−	10.2535i	−0.351899	−	0.609506i	0.634683	−	0.772772i	$-0.281131\pi$
$283$	−5.91985	−	10.2535i	−0.351899	−	0.609506i	−0.986582	+	0.163266i	$0.947797\pi$
$284$	0.827024	+	7.02161i	0.0490749	+	0.416656i
$285$	1.23681	−	1.39245i	0.0732624	−	0.0824814i
$286$	0.517477	−	0.340679i	0.0305990	−	0.0201448i
$287$	12.8590	−	5.47409i	0.759043	−	0.323125i
$288$	−1.67024	+	7.11761i	−0.0984196	+	0.419409i
$289$	−14.8699	+	25.7553i	−0.874697	+	1.51502i
$290$	11.5651	−	14.6683i	0.679125	−	0.861353i
$291$	3.94349	+	6.83033i	0.231172	+	0.400401i
$292$	−14.1962	−	19.0336i	−0.830773	−	1.11386i
$293$			5.93168i			0.346533i	0.984875	+	0.173266i	$0.0554321\pi$
$293$			5.93168i			0.346533i	−0.984875	+	0.173266i	$0.944568\pi$
$294$	12.7186	+	2.36237i	0.741765	+	0.137776i
$295$	18.9775	+	3.89980i	1.10491	+	0.227055i
$296$	−8.29714	+	22.8910i	−0.482261	+	1.33051i
$297$	0.946090	+	1.63868i	0.0548977	+	0.0950856i
$298$	−18.3791	−	9.22011i	−1.06467	−	0.534106i
$299$	−3.41002	−	1.96878i	−0.197207	−	0.113857i
$300$	−9.47998	+	8.99386i	−0.547327	+	0.519261i
$301$	−25.8066	+	10.9859i	−1.48747	+	0.633216i
$302$	8.97530	−	5.90886i	0.516471	−	0.340017i
$303$	−0.989287	+	1.71350i	−0.0568331	+	0.0984377i
$304$	−2.44372	−	0.726878i	−0.140157	−	0.0416893i
$305$	16.8567	−	5.60342i	0.965211	−	0.320851i
$306$	12.4741	−	0.732089i	0.713098	−	0.0418507i
$307$	8.83855			0.504443			0.252221	−	0.967670i	$-0.418839\pi$
$307$	8.83855			0.504443			0.252221	+	0.967670i	$0.418839\pi$
$308$	−0.898530	+	1.54241i	−0.0511985	+	0.0878867i
$309$			9.95951i			0.566577i
$310$	0.981606	−	6.76698i	0.0557515	−	0.384338i
$311$	11.3386	+	19.6391i	0.642955	+	1.11363i	0.984770	+	0.173864i	$0.0556253\pi$
$311$	11.3386	+	19.6391i	0.642955	+	1.11363i	−0.341814	+	0.939768i	$0.611041\pi$
$312$	3.67281	−	3.09020i	0.207932	−	0.174948i
$313$	−10.2270	+	17.7137i	−0.578064	+	1.00124i	0.417637	+	0.908614i	$0.362858\pi$
$313$	−10.2270	+	17.7137i	−0.578064	+	1.00124i	−0.995701	+	0.0926229i	$0.970475\pi$
$314$	21.3643	−	14.0651i	1.20566	−	0.793741i
$315$	5.06109	+	5.73117i	0.285160	+	0.322915i
$316$	−19.0171	−	8.18317i	−1.06980	−	0.460339i
$317$	−1.04378	+	1.80788i	−0.0586245	+	0.101541i	−0.893848	−	0.448370i	$-0.852005\pi$
$317$	−1.04378	+	1.80788i	−0.0586245	+	0.101541i	0.835224	+	0.549910i	$0.185338\pi$
$318$	−6.01885	+	11.9978i	−0.337520	+	0.672802i
$319$	−1.72567	+	0.996314i	−0.0966188	+	0.0557829i
$320$	16.6484	+	6.54452i	0.930674	+	0.365850i
$321$			2.53904i			0.141715i
$322$	11.3227	+	0.708741i	0.630987	+	0.0394966i
$323$			4.35756i			0.242461i
$324$	4.12826	+	5.53495i	0.229348	+	0.307497i
$325$	−6.44792	+	0.766035i	−0.357666	+	0.0424920i
$326$	9.34765	+	4.68938i	0.517719	+	0.259720i
$327$	1.73710	+	1.00291i	0.0960617	+	0.0554613i
$328$	2.61400	+	14.7102i	0.144334	+	0.812234i
$329$	2.87354	−	23.6058i	0.158424	−	1.30143i
$330$	1.29479	−	0.516473i	0.0712758	−	0.0284309i
$331$	−6.62025	+	11.4666i	−0.363882	+	0.630262i	−0.988596	−	0.150591i	$-0.951882\pi$
$331$	−6.62025	+	11.4666i	−0.363882	+	0.630262i	0.624714	+	0.780854i	$0.285216\pi$
$332$	−7.48468	+	0.881566i	−0.410775	+	0.0483822i
$333$	−5.56278	−	9.63502i	−0.304839	−	0.527996i
$334$	1.55118	+	26.4308i	0.0848770	+	1.44623i
$335$	27.6808	+	5.68830i	1.51236	+	0.310785i
$336$	−5.51565	+	12.6818i	−0.300903	+	0.691849i
$337$			13.0464i			0.710681i	0.934737	+	0.355341i	$0.115635\pi$
$337$			13.0464i			0.710681i	−0.934737	+	0.355341i	$0.884365\pi$
$338$	−15.9722	+	0.937387i	−0.868774	+	0.0509871i
$339$	−7.63381	+	4.40738i	−0.414612	+	0.239376i
$340$	2.60886	−	30.4629i	0.141485	−	1.65208i
$341$	−0.364717	+	0.631708i	−0.0197505	+	0.0342089i
$342$	0.973033	−	0.640593i	0.0526156	−	0.0346393i
$343$	−17.3107	−	6.58317i	−0.934692	−	0.355458i
$344$	−5.24600	−	29.5217i	−0.282845	−	1.59170i
$345$	−6.62387	−	5.88351i	−0.356617	−	0.316758i
$346$	−12.2795	−	6.16018i	−0.660151	−	0.331173i
$347$	−22.2014	+	12.8180i	−1.19184	+	0.688107i	−0.958723	−	0.284343i	$-0.908225\pi$
$347$	−22.2014	+	12.8180i	−1.19184	+	0.688107i	−0.233113	+	0.972450i	$0.574891\pi$
$348$	−12.3747	+	9.22967i	−0.663351	+	0.494762i
$349$	−24.9774			−1.33701			−0.668505	−	0.743708i	$-0.733065\pi$
$349$	−24.9774			−1.33701			−0.668505	+	0.743708i	$0.733065\pi$
$350$	15.6556	−	10.2422i	0.836827	−	0.547467i
$351$			7.28427i			0.388806i
$352$	−1.39094	−	1.30647i	−0.0741374	−	0.0696348i
$353$	4.78385	+	8.28587i	0.254619	+	0.441012i	0.964792	−	0.263015i	$-0.0847168\pi$
$353$	4.78385	+	8.28587i	0.254619	+	0.441012i	−0.710173	+	0.704027i	$0.751383\pi$
$354$	−14.3119	−	7.17978i	−0.760671	−	0.381601i
$355$	−5.24939	+	5.90995i	−0.278609	+	0.313668i
$356$	−13.6596	−	5.87782i	−0.723959	−	0.311524i
$357$	23.4634	+	2.85621i	1.24181	+	0.151167i
$358$	−1.85772	−	2.82180i	−0.0981838	−	0.149137i
$359$	−17.0899	−	9.86683i	−0.901968	−	0.520752i	−0.0241299	−	0.999709i	$-0.507682\pi$
$359$	−17.0899	−	9.86683i	−0.901968	−	0.520752i	−0.877838	+	0.478957i	$0.841015\pi$
$360$	−7.18581	+	3.89571i	−0.378726	+	0.205322i
$361$	−9.29687	−	16.1027i	−0.489309	−	0.847508i
$362$	13.9365	−	0.817916i	0.732488	−	0.0429887i
$363$	14.2255			0.746647
$364$	−5.96450	+	3.41272i	−0.312625	+	0.178875i
$365$	5.34373	−	26.0040i	0.279703	−	1.36111i
$366$	−14.6557	+	0.860123i	−0.766067	+	0.0449593i
$367$	−8.78783	+	5.07365i	−0.458721	+	0.264843i	−0.711506	−	0.702680i	$-0.751987\pi$
$367$	−8.78783	+	5.07365i	−0.458721	+	0.264843i	0.252785	+	0.967522i	$0.418653\pi$
$368$	−3.45776	+	11.6248i	−0.180248	+	0.605983i
$369$	−5.91226	−	3.41345i	−0.307780	−	0.177697i
$370$	−25.2849	+	10.0858i	−1.31450	+	0.524334i
$371$	11.5492	−	15.3594i	0.599603	−	0.797422i
$372$	−2.23371	+	5.19099i	−0.115813	+	0.269140i
$373$	−9.28187	+	16.0767i	−0.480597	+	0.832419i	−0.999752	−	0.0222614i	$-0.992913\pi$
$373$	−9.28187	+	16.0767i	−0.480597	+	0.832419i	0.519155	+	0.854680i	$0.326247\pi$
$374$	−1.46250	+	2.91530i	−0.0756240	+	0.150746i
$375$	−14.5579	−	1.23199i	−0.751765	−	0.0636195i
$376$	23.9003	+	8.66300i	1.23257	+	0.446760i
$377$	−7.67097			−0.395075
$378$	−9.33769	−	18.7956i	−0.480279	−	0.966742i
$379$	23.9371			1.22956			0.614782	−	0.788697i	$-0.289244\pi$
$379$	23.9371			1.22956			0.614782	+	0.788697i	$0.289244\pi$
$380$	−1.20939	−	2.58118i	−0.0620406	−	0.132412i
$381$	2.93559	+	5.08459i	0.150395	+	0.260491i
$382$	16.2782	+	8.16618i	0.832866	+	0.417818i
$383$	19.1286	+	11.0439i	0.977428	+	0.564318i	0.901493	−	0.432794i	$-0.142472\pi$
$383$	19.1286	+	11.0439i	0.977428	+	0.564318i	0.0759355	+	0.997113i	$0.475806\pi$
$384$	−11.8861	−	8.79163i	−0.606560	−	0.448646i
$385$	−1.95604	+	0.396080i	−0.0996889	+	0.0201861i
$386$	−5.84929	+	3.85086i	−0.297721	+	0.196003i
$387$	11.8653	+	6.85041i	0.603145	+	0.348226i
$388$	11.9883	−	1.41201i	0.608613	−	0.0716841i
$389$	2.69778	−	1.55757i	0.136783	−	0.0789717i	−0.430047	−	0.902807i	$-0.641503\pi$
$389$	2.69778	−	1.55757i	0.136783	−	0.0789717i	0.566830	+	0.823835i	$0.308170\pi$
$390$	5.31085	+	0.770382i	0.268925	+	0.0390098i
$391$	20.7289			1.04831
$392$	11.0155	−	16.4517i	0.556364	−	0.830938i
$393$		−	6.43032i		−	0.324367i
$394$	9.27024	−	0.544057i	0.467028	−	0.0274092i
$395$	−7.30146	−	21.9649i	−0.367376	−	1.10517i
$396$	0.865977	−	0.101997i	0.0435170	−	0.00512555i
$397$	−21.1570	−	12.2150i	−1.06184	−	0.613054i	−0.135900	−	0.990723i	$-0.543393\pi$
$397$	−21.1570	−	12.2150i	−1.06184	−	0.613054i	−0.925941	+	0.377668i	$0.876726\pi$
$398$	21.4917	+	32.6449i	1.07728	+	1.63634i
$399$	2.02757	−	0.863139i	0.101506	−	0.0432110i
$400$	6.90930	+	18.7686i	0.345465	+	0.938432i
$401$	−12.5658	+	21.7647i	−0.627508	+	1.08688i	0.360542	+	0.932743i	$0.382592\pi$
$401$	−12.5658	+	21.7647i	−0.627508	+	1.08688i	−0.988050	+	0.154133i	$0.950742\pi$
$402$	−20.8756	−	10.4725i	−1.04118	−	0.522321i
$403$	−2.43187	+	1.40404i	−0.121140	+	0.0699402i
$404$	1.81049	+	2.42741i	0.0900754	+	0.120768i
$405$	−1.55395	+	7.56194i	−0.0772165	+	0.375756i
$406$	19.7934	−	9.83339i	0.982331	−	0.488023i
$407$	2.90397			0.143945
$408$	−8.61074	+	23.7562i	−0.426295	+	1.17610i
$409$	9.63575	−	5.56320i	0.476457	−	0.275083i	−0.242482	−	0.970156i	$-0.577961\pi$
$409$	9.63575	−	5.56320i	0.476457	−	0.275083i	0.718939	+	0.695073i	$0.244628\pi$
$410$	−10.3423	+	13.1174i	−0.510768	+	0.647821i
$411$	18.5938	+	10.7352i	0.917166	+	0.529526i
$412$	14.0019	+	6.02509i	0.689823	+	0.296835i
$413$	18.3220	+	13.7768i	0.901566	+	0.677912i
$414$	−3.04730	−	4.62872i	−0.149767	−	0.227489i
$415$	−6.29971	−	5.59559i	−0.309241	−	0.274677i
$416$	−2.12255	−	7.03298i	−0.104066	−	0.344820i
$417$	−11.1475	+	6.43602i	−0.545896	+	0.315173i
$418$	0.0178152	+	0.303555i	0.000871371	+	0.0148474i
$419$		−	4.05377i		−	0.198040i	−0.995085	−	0.0990198i	$-0.968429\pi$
$419$		−	4.05377i		−	0.198040i	0.995085	−	0.0990198i	$-0.0315707\pi$
$420$	−14.6911	+	4.82014i	−0.716854	+	0.235199i
$421$		−	22.4223i		−	1.09279i	−0.837526	−	0.546397i	$-0.815999\pi$
$421$		−	22.4223i		−	1.09279i	0.837526	−	0.546397i	$-0.184001\pi$
$422$	22.9715	−	1.34816i	1.11824	−	0.0656276i
$423$	−10.0599	+	5.80807i	−0.489128	+	0.282398i
$424$	13.2263	+	15.7200i	0.642326	+	0.763428i
$425$	27.3805	−	20.4647i	1.32815	−	0.992684i
$426$	5.45656	−	3.59230i	0.264371	−	0.174048i
$427$	20.8642	+	2.53981i	1.00969	+	0.122910i
$428$	3.56959	+	1.53601i	0.172542	+	0.0742460i
$429$	−0.495776	−	0.286236i	−0.0239363	−	0.0138196i
$430$	20.7558	−	26.3251i	1.00093	−	1.26951i
$431$	−14.0817	+	8.13005i	−0.678289	+	0.391611i	−0.799210	−	0.601052i	$-0.794749\pi$
$431$	−14.0817	+	8.13005i	−0.678289	+	0.391611i	0.120921	+	0.992662i	$0.461415\pi$
$432$	21.8224	−	5.21292i	1.04993	−	0.250807i
$433$	2.53783			0.121960			0.0609801	−	0.998139i	$-0.480577\pi$
$433$	2.53783			0.121960			0.0609801	+	0.998139i	$0.480577\pi$
$434$	4.47512	−	6.74026i	0.214813	−	0.323543i
$435$	−16.9065	−	3.47422i	−0.810603	−	0.166576i
$436$	2.46085	−	1.83543i	0.117853	−	0.0879012i
$437$	1.67365	−	0.966283i	0.0800616	−	0.0462236i
$438$	−9.83812	+	19.6110i	−0.470084	+	0.937050i
$439$	11.3888	−	19.7261i	0.543560	−	0.941473i	−0.455136	−	0.890422i	$-0.650409\pi$
$439$	11.3888	−	19.7261i	0.543560	−	0.941473i	0.998696	−	0.0510514i	$-0.0162572\pi$
$440$	0.0571951	−	2.13277i	0.00272667	−	0.101676i
$441$	2.51170	+	8.69118i	0.119605	+	0.413866i
$442$	−10.4873	+	6.90429i	−0.498831	+	0.328403i
$443$	1.64896	+	0.952029i	0.0783446	+	0.0452323i	0.538661	−	0.842523i	$-0.318931\pi$
$443$	1.64896	+	0.952029i	0.0783446	+	0.0452323i	−0.460316	+	0.887755i	$0.652264\pi$
$444$	22.3436	−	2.63169i	1.06038	−	0.124895i
$445$	−5.24451	−	15.7770i	−0.248613	−	0.747900i
$446$	0.147851	+	2.51925i	0.00700094	+	0.119290i
$447$			18.9996i			0.898652i
$448$	14.4924	+	15.4263i	0.684700	+	0.728825i
$449$	−22.8903			−1.08026			−0.540130	−	0.841582i	$-0.681625\pi$
$449$	−22.8903			−1.08026			−0.540130	+	0.841582i	$0.681625\pi$
$450$	−8.59484	−	3.10553i	−0.405165	−	0.146396i
$451$	1.54321	−	0.890970i	0.0726667	−	0.0419542i
$452$	1.57811	+	13.3985i	0.0742282	+	0.630213i
$453$	−8.59892	−	4.96459i	−0.404012	−	0.233257i
$454$	16.4819	+	25.0354i	0.773535	+	1.17497i
$455$	−7.28365	−	2.44456i	−0.341463	−	0.114603i
$456$	0.412167	+	2.31946i	0.0193015	+	0.108619i
$457$	−32.0413	−	18.4990i	−1.49883	−	0.865349i	−0.498829	−	0.866701i	$-0.666236\pi$
$457$	−32.0413	−	18.4990i	−1.49883	−	0.865349i	−0.999999	+	0.00135206i	$0.999570\pi$
$458$	5.17133	−	10.3084i	0.241641	−	0.481679i
$459$	−19.1737	−	33.2098i	−0.894952	−	1.55010i
$460$	−12.2787	+	5.75309i	−0.572497	+	0.268239i
$461$	7.04683			0.328204			0.164102	−	0.986443i	$-0.447527\pi$
$461$	7.04683			0.328204			0.164102	+	0.986443i	$0.447527\pi$
$462$	1.64618	+	0.103042i	0.0765871	+	0.00479396i
$463$	−36.8182			−1.71109			−0.855543	−	0.517731i	$-0.826777\pi$
$463$	−36.8182			−1.71109			−0.855543	+	0.517731i	$0.826777\pi$
$464$	5.48966	+	22.9809i	0.254851	+	1.06686i
$465$	−5.99563	+	1.99304i	−0.278041	+	0.0924249i
$466$	−34.2586	−	17.1863i	−1.58700	−	0.796139i
$467$	−13.6516	+	23.6452i	−0.631719	+	1.09417i	0.355481	+	0.934683i	$0.384317\pi$
$467$	−13.6516	+	23.6452i	−0.631719	+	1.09417i	−0.987200	+	0.159486i	$0.949016\pi$
$468$	3.08342	+	1.32681i	0.142531	+	0.0613320i
$469$	26.7247	+	20.0950i	1.23403	+	0.927901i
$470$	10.5305	+	26.3998i	0.485736	+	1.21773i
$471$	−20.4684	−	11.8174i	−0.943134	−	0.544519i
$472$	−18.7520	+	15.7774i	−0.863133	+	0.726214i
$473$	−3.09704	+	1.78808i	−0.142402	+	0.0822160i
$474$	1.12077	+	19.0969i	0.0514788	+	0.877152i
$475$	1.25673	−	2.92866i	0.0576626	−	0.134376i
$476$	18.2099	−	31.2588i	0.834648	−	1.43275i
$477$	−9.38722			−0.429811
$478$	−1.54765	−	26.3706i	−0.0707879	−	1.20616i
$479$	−8.50010	−	14.7226i	−0.388379	−	0.672693i	0.603852	−	0.797096i	$-0.293632\pi$
$479$	−8.50010	−	14.7226i	−0.388379	−	0.672693i	−0.992232	+	0.124403i	$0.960298\pi$
$480$	−1.49273	−	16.4617i	−0.0681335	−	0.751369i
$481$	9.68159	+	5.58967i	0.441443	+	0.254867i
$482$	23.8248	−	15.6850i	1.08519	−	0.714431i
$483$	−4.10595	−	9.64516i	−0.186827	−	0.438870i
$484$	8.60587	−	19.9994i	0.391176	−	0.909064i
$485$	10.0903	+	8.96251i	0.458177	+	0.406966i
$486$	−7.80990	+	15.5680i	−0.354264	+	0.706179i
$487$	19.8165	+	34.3232i	0.897973	+	1.55533i	0.830082	+	0.557642i	$0.188294\pi$
$487$	19.8165	+	34.3232i	0.897973	+	1.55533i	0.0678912	+	0.997693i	$0.478373\pi$
$488$	−7.65688	+	21.1245i	−0.346611	+	0.956263i
$489$		−	9.66327i		−	0.436988i
$490$	21.9277	−	3.02920i	0.990592	−	0.136845i
$491$	−42.8252			−1.93267			−0.966337	−	0.257280i	$-0.917174\pi$
$491$	−42.8252			−1.93267			−0.966337	+	0.257280i	$0.917174\pi$
$492$	11.0662	−	8.25379i	0.498905	−	0.372109i
$493$	34.9728	−	20.1916i	1.57510	−	0.909383i
$494$	−0.524900	+	1.04632i	−0.0236164	+	0.0470761i
$495$	0.728876	+	0.647409i	0.0327606	+	0.0290989i
$496$	5.94660	+	6.28066i	0.267010	+	0.282010i
$497$	−8.60561	+	3.66342i	−0.386014	+	0.164327i
$498$	3.82922	+	5.81642i	0.171591	+	0.260640i
$499$	−0.363871	+	0.630243i	−0.0162891	+	0.0282136i	−0.874055	−	0.485827i	$-0.838519\pi$
$499$	−0.363871	+	0.630243i	−0.0162891	+	0.0282136i	0.857766	+	0.514040i	$0.171852\pi$
$500$	−10.5389	+	19.7213i	−0.471316	+	0.881965i
$501$	21.1868	−	12.2322i	0.946555	−	0.546494i
$502$	−1.78404	−	30.3984i	−0.0796256	−	1.35675i
$503$			4.71017i			0.210016i	0.994471	+	0.105008i	$0.0334868\pi$
$503$			4.71017i			0.210016i	−0.994471	+	0.105008i	$0.966513\pi$
$504$	−9.65700	+	0.529049i	−0.430157	+	0.0235657i
$505$	−0.681503	+	3.31637i	−0.0303265	+	0.147577i
$506$	1.44401	−	0.0847471i	0.0641942	−	0.00376747i
$507$	7.39196	+	12.8032i	0.328288	+	0.568612i
$508$	8.92424	−	1.05112i	0.395949	−	0.0466360i
$509$	16.9005	−	29.2726i	0.749103	−	1.29749i	−0.199150	−	0.979969i	$-0.563818\pi$
$509$	16.9005	−	29.2726i	0.749103	−	1.29749i	0.948253	−	0.317516i	$-0.102849\pi$
$510$	−26.2406	+	10.4670i	−1.16195	+	0.463486i
$511$	18.8777	−	25.1058i	0.835101	−	1.11061i
$512$	−19.5506	+	11.3919i	−0.864022	+	0.503454i
$513$	−3.09617	−	1.78757i	−0.136699	−	0.0789232i
$514$	−6.21027	+	12.3794i	−0.273923	+	0.546030i
$515$	5.37591	+	16.1723i	0.236891	+	0.712636i
$516$	−22.2087	+	16.5644i	−0.977685	+	0.729209i
$517$		−	3.03202i		−	0.133348i
$518$	−32.1468	−	2.01223i	−1.41245	−	0.0884121i
$519$			12.6941i			0.557210i
$520$	4.29591	−	7.00037i	0.188388	−	0.306986i
$521$	−1.19800	+	0.691667i	−0.0524855	+	0.0303025i	−0.526013	−	0.850476i	$-0.676314\pi$
$521$	−1.19800	+	0.691667i	−0.0524855	+	0.0303025i	0.473528	+	0.880779i	$0.342980\pi$
$522$	−9.64999	−	4.84104i	−0.422368	−	0.211887i
$523$	10.5809	−	18.3267i	0.462671	−	0.801370i	−0.536422	−	0.843950i	$-0.680224\pi$
$523$	10.5809	−	18.3267i	0.462671	−	0.801370i	0.999093	+	0.0425801i	$0.0135578\pi$
$524$	−9.04027	−	3.89008i	−0.394926	−	0.169939i
$525$	−14.9457	−	8.68650i	−0.652284	−	0.379110i
$526$	13.5974	+	20.6538i	0.592873	+	0.900549i
$527$	7.39145	−	12.8024i	0.321977	−	0.557680i
$528$	−0.502716	+	1.69010i	−0.0218779	+	0.0735521i
$529$	6.90339	+	11.9570i	0.300147	+	0.519871i
$530$	−3.29730	+	22.7309i	−0.143226	+	0.987366i
$531$		−	11.1978i		−	0.485945i
$532$	0.0131266	−	3.37269i	0.000569109	−	0.146225i
$533$	6.85989			0.297135
$534$	0.805030	+	13.7170i	0.0348371	+	0.593592i
$535$	1.37051	+	4.12290i	0.0592525	+	0.178248i
$536$	−27.3519	+	23.0131i	−1.18142	+	0.994015i
$537$	−1.56085	+	2.70347i	−0.0673556	+	0.116663i
$538$	−15.3399	−	23.3006i	−0.661349	−	1.00456i
$539$	−2.29243	−	0.566512i	−0.0987418	−	0.0244014i
$540$	20.5745	+	14.3503i	0.885386	+	0.617537i
$541$	−2.03605	−	1.17551i	−0.0875366	−	0.0505393i	0.455593	−	0.890188i	$-0.349427\pi$
$541$	−2.03605	−	1.17551i	−0.0875366	−	0.0505393i	−0.543129	+	0.839649i	$0.682761\pi$
$542$	3.27646	−	6.53118i	0.140736	−	0.280538i
$543$	−6.44984	−	11.1715i	−0.276789	−	0.479413i
$544$	28.1892	+	26.4772i	1.20860	+	1.13520i
$545$	3.36206	+	0.690890i	0.144015	+	0.0295945i
$546$	5.28987	+	3.51216i	0.226386	+	0.150306i
$547$			37.9822i			1.62400i	0.583656	+	0.812001i	$0.301622\pi$
$547$			37.9822i			1.62400i	−0.583656	+	0.812001i	$0.698378\pi$
$548$	26.3408	−	19.6464i	1.12523	−	0.839252i
$549$	−5.13352	−	8.89152i	−0.219093	−	0.379481i
$550$	1.82370	−	1.53755i	0.0777630	−	0.0655613i
$551$	1.88247	−	3.26053i	0.0801958	−	0.138903i
$552$	11.0337	−	1.96068i	0.469624	−	0.0834521i
$553$	3.30947	−	27.1868i	0.140733	−	1.15610i
$554$	−11.6643	−	17.7175i	−0.495567	−	0.752745i
$555$	18.8062	+	16.7042i	0.798279	+	0.709055i
$556$	2.30449	+	19.5656i	0.0977322	+	0.829766i
$557$	12.5827	+	21.7938i	0.533144	+	0.923433i	0.999251	+	0.0387043i	$0.0123230\pi$
$557$	12.5827	+	21.7938i	0.533144	+	0.923433i	−0.466106	+	0.884729i	$0.654344\pi$
$558$	−3.94533	+	0.231546i	−0.167019	+	0.00980212i
$559$	−13.7670			−0.582284
$560$	−2.11099	+	23.5700i	−0.0892055	+	0.996013i
$561$	3.01373			0.127240
$562$	−33.4745	+	1.96457i	−1.41203	+	0.0828703i
$563$	22.7306	+	39.3705i	0.957980	+	1.65927i	0.727396	+	0.686218i	$0.240731\pi$
$563$	22.7306	+	39.3705i	0.957980	+	1.65927i	0.230585	+	0.973052i	$0.425936\pi$
$564$	−2.74774	−	23.3289i	−0.115701	−	0.982323i
$565$	−10.0168	+	11.2773i	−0.421410	+	0.474438i
$566$	9.20711	+	13.9852i	0.387004	+	0.587842i
$567$	−5.48963	+	7.30074i	−0.230543	+	0.306602i
$568$	−1.74936	−	9.84447i	−0.0734015	−	0.413065i
$569$	−5.41670	+	9.38201i	−0.227080	+	0.393314i	−0.956941	−	0.290281i	$-0.906251\pi$
$569$	−5.41670	+	9.38201i	−0.227080	+	0.393314i	0.729861	+	0.683595i	$0.239585\pi$
$570$	−1.63074	+	2.06831i	−0.0683041	+	0.0866320i
$571$	0.714547	+	1.23763i	0.0299029	+	0.0517933i	0.880590	−	0.473880i	$-0.157147\pi$
$571$	0.714547	+	1.23763i	0.0299029	+	0.0517933i	−0.850687	+	0.525673i	$0.823814\pi$
$572$	−0.702338	+	0.523841i	−0.0293662	+	0.0219029i
$573$		−	16.8278i		−	0.702993i
$574$	−17.7006	+	8.79368i	−0.738808	+	0.367041i
$575$	−13.9316	−	5.97826i	−0.580990	−	0.249311i
$576$	1.76828	−	10.1869i	0.0736783	−	0.424455i
$577$	7.32076	+	12.6799i	0.304767	+	0.527872i	0.977209	−	0.212277i	$-0.0680880\pi$
$577$	7.32076	+	12.6799i	0.304767	+	0.527872i	−0.672442	+	0.740149i	$0.734755\pi$
$578$	18.8591	−	37.5930i	0.784433	−	1.56366i
$579$	5.60399	+	3.23547i	0.232894	+	0.134461i
$580$	−15.1121	+	21.6667i	−0.627494	+	0.899662i
$581$	−3.90502	−	9.17314i	−0.162007	−	0.380566i
$582$	−6.13329	−	9.31621i	−0.254233	−	0.386169i
$583$	1.22512	−	2.12196i	0.0507391	−	0.0878827i
$584$	21.6191	+	25.6951i	0.894604	+	1.06327i
$585$	1.18385	+	3.56138i	0.0489464	+	0.147245i
$586$	−0.491473	−	8.37426i	−0.0203026	−	0.345937i
$587$	−20.7299			−0.855616			−0.427808	−	0.903870i	$-0.640714\pi$
$587$	−20.7299			−0.855616			−0.427808	+	0.903870i	$0.640714\pi$
$588$	−18.1517	−	2.28134i	−0.748563	−	0.0940811i
$589$		−	1.37821i		−	0.0567884i
$590$	−27.1152	−	3.93329i	−1.11632	−	0.161931i
$591$	−4.29027	−	7.43097i	−0.176478	−	0.305669i
$592$	9.81713	−	33.0046i	0.403481	−	1.35648i
$593$	−0.830997	+	1.43933i	−0.0341249	+	0.0591061i	−0.882583	−	0.470156i	$-0.844198\pi$
$593$	−0.830997	+	1.43933i	−0.0341249	+	0.0591061i	0.848459	+	0.529262i	$0.177531\pi$
$594$	−1.47145	−	2.23507i	−0.0603742	−	0.0917059i
$595$	39.6416	−	8.02706i	1.62515	−	0.329077i
$596$	26.7112	+	11.4940i	1.09413	+	0.470812i
$597$	18.0572	−	31.2760i	0.739031	−	1.28004i
$598$	4.97734	+	2.49695i	0.203539	+	0.102108i
$599$	31.9015	−	18.4183i	1.30346	−	0.752553i	0.322464	−	0.946582i	$-0.395489\pi$
$599$	31.9015	−	18.4183i	1.30346	−	0.752553i	0.980996	+	0.194029i	$0.0621555\pi$
$600$	12.6385	−	13.4829i	0.515964	−	0.550435i
$601$		−	36.8443i		−	1.50291i	−0.659785	−	0.751455i	$-0.729353\pi$
$601$		−	36.8443i		−	1.50291i	0.659785	−	0.751455i	$-0.270647\pi$
$602$	35.5231	−	17.6479i	1.44781	−	0.719276i
$603$		−	16.3333i		−	0.665143i
$604$	−12.1816	+	9.08569i	−0.495663	+	0.369691i
$605$	23.0995	−	7.67861i	0.939127	−	0.312180i
$606$	1.25469	−	2.50105i	0.0509682	−	0.101598i
$607$	−16.7562	−	9.67418i	−0.680112	−	0.392663i	0.119785	−	0.992800i	$-0.461779\pi$
$607$	−16.7562	−	9.67418i	−0.680112	−	0.392663i	−0.799897	+	0.600137i	$0.795113\pi$
$608$	3.51023	+	0.823720i	0.142359	+	0.0334062i
$609$	−16.3225	−	12.2733i	−0.661421	−	0.497340i
$610$	−23.3337	+	9.30749i	−0.944755	+	0.376849i
$611$	5.83615	−	10.1085i	0.236105	−	0.408946i
$612$	−17.5501	+	2.06710i	−0.709422	+	0.0835577i
$613$	−6.61363	−	11.4551i	−0.267122	−	0.462669i	0.700995	−	0.713166i	$-0.252739\pi$
$613$	−6.61363	−	11.4551i	−0.267122	−	0.462669i	−0.968117	+	0.250497i	$0.919406\pi$
$614$	−12.4781	+	0.732323i	−0.503576	+	0.0295542i
$615$	15.1189	+	3.10688i	0.609652	+	0.125281i
$616$	1.14073	−	2.25199i	0.0459615	−	0.0907354i
$617$		−	12.0831i		−	0.486448i	−0.969970	−	0.243224i	$-0.921795\pi$
$617$		−	12.0831i		−	0.486448i	0.969970	−	0.243224i	$-0.0782049\pi$
$618$	−0.825201	−	14.0607i	−0.0331944	−	0.565603i
$619$	−10.4861	+	6.05415i	−0.421472	+	0.243337i	−0.695707	−	0.718326i	$-0.744909\pi$
$619$	−10.4861	+	6.05415i	−0.421472	+	0.243337i	0.274235	+	0.961663i	$0.411575\pi$
$620$	−0.825135	+	9.63484i	−0.0331382	+	0.386945i
$621$	−8.50348	+	14.7285i	−0.341233	+	0.591033i
$622$	−17.6349	−	26.7867i	−0.707096	−	1.07405i
$623$	2.37713	−	19.5278i	0.0952376	−	0.782364i
$624$	−4.92918	+	4.66700i	−0.197325	+	0.186830i
$625$	−24.3041	+	5.85749i	−0.972164	+	0.234300i
$626$	12.9706	−	25.8553i	0.518411	−	1.03338i
$627$	0.243328	−	0.140486i	0.00971760	−	0.00561046i
$628$	−28.9965	+	21.6271i	−1.15708	+	0.863014i
$629$	−58.8527			−2.34661
$630$	−7.62002	−	7.67184i	−0.303589	−	0.305653i
$631$			3.98549i			0.158660i	0.996848	+	0.0793299i	$0.0252780\pi$
$631$			3.98549i			0.158660i	−0.996848	+	0.0793299i	$0.974722\pi$
$632$	27.5261	+	9.97720i	1.09493	+	0.396872i
$633$	−10.6312	−	18.4138i	−0.422554	−	0.731884i
$634$	1.32380	−	2.63882i	0.0525747	−	0.104801i
$635$	7.51136	+	6.67181i	0.298079	+	0.264763i
$636$	7.50323	−	17.4370i	0.297523	−	0.691421i
$637$	−6.55231	−	6.30125i	−0.259612	−	0.249664i
$638$	2.35372	−	1.54956i	0.0931846	−	0.0613477i
$639$	3.95665	+	2.28437i	0.156523	+	0.0903684i
$640$	−24.0462	−	7.86004i	−0.950510	−	0.310695i
$641$	−3.32962	−	5.76707i	−0.131512	−	0.227786i	0.792748	−	0.609550i	$-0.208650\pi$
$641$	−3.32962	−	5.76707i	−0.131512	−	0.227786i	−0.924260	+	0.381764i	$0.875317\pi$
$642$	−0.210373	−	3.58457i	−0.00830278	−	0.141472i
$643$	22.3506			0.881421			0.440711	−	0.897649i	$-0.354727\pi$
$643$	22.3506			0.881421			0.440711	+	0.897649i	$0.354727\pi$
$644$	−16.0439	−	0.0624431i	−0.632217	−	0.00246060i
$645$	−30.3419	−	6.23516i	−1.19471	−	0.245509i
$646$	−0.361048	−	6.15194i	−0.0142053	−	0.242045i
$647$	−9.62380	+	5.55631i	−0.378351	+	0.218441i	−0.677100	−	0.735891i	$-0.736764\pi$
$647$	−9.62380	+	5.55631i	−0.378351	+	0.218441i	0.298750	+	0.954331i	$0.403430\pi$
$648$	−6.28681	−	7.47211i	−0.246969	−	0.293532i
$649$	2.53125	+	1.46142i	0.0993603	+	0.0573657i
$650$	9.03960	−	1.61572i	0.354562	−	0.0633738i
$651$	−7.42102	−	0.903366i	−0.290853	−	0.0354057i
$652$	−13.5854	−	5.84588i	−0.532046	−	0.228942i
$653$	−7.41053	+	12.8354i	−0.289997	+	0.502289i	−0.973809	−	0.227369i	$-0.926988\pi$
$653$	−7.41053	+	12.8354i	−0.289997	+	0.502289i	0.683812	+	0.729658i	$0.260321\pi$
$654$	−2.53550	−	1.27197i	−0.0991461	−	0.0497380i
$655$	−3.47094	−	10.4416i	−0.135621	−	0.407986i
$656$	−4.90922	−	20.5510i	−0.191673	−	0.802383i
$657$	−15.3439			−0.598622
$658$	−2.10095	+	33.5643i	−0.0819037	+	1.30847i
$659$	−0.263237			−0.0102542			−0.00512712	−	0.999987i	$-0.501632\pi$
$659$	−0.263237			−0.0102542			−0.00512712	+	0.999987i	$0.501632\pi$
$660$	−1.78517	+	0.836429i	−0.0694877	+	0.0325580i
$661$	−13.3229	−	23.0759i	−0.518199	−	0.897547i	−0.999776	−	0.0211434i	$-0.993269\pi$
$661$	−13.3229	−	23.0759i	−0.518199	−	0.897547i	0.481577	−	0.876404i	$-0.340064\pi$
$662$	8.39630	−	16.7369i	0.326331	−	0.650499i
$663$	10.0475	+	5.80094i	0.390214	+	0.225290i
$664$	10.4937	−	1.86473i	0.407235	−	0.0723655i
$665$	2.82647	−	2.49600i	0.109606	−	0.0967909i
$666$	8.65176	+	13.1417i	0.335249	+	0.509229i
$667$	−15.5103	−	8.95490i	−0.600563	−	0.346735i
$668$	−4.37987	−	37.1860i	−0.169462	−	1.43877i
$669$	2.01941	−	1.16591i	0.0780750	−	0.0450766i
$670$	−39.5506	−	5.73714i	−1.52797	−	0.221645i
$671$	2.67988			0.103456
$672$	6.73615	−	18.3610i	0.259853	−	0.708290i
$673$		−	36.5349i		−	1.40832i	−0.710043	−	0.704158i	$-0.751324\pi$
$673$		−	36.5349i		−	1.40832i	0.710043	−	0.704158i	$-0.248676\pi$
$674$	−1.08097	−	18.4187i	−0.0416372	−	0.709461i
$675$	3.30863	+	27.8496i	0.127349	+	1.07193i
$676$	22.4717	−	2.64678i	0.864295	−	0.101799i
$677$	17.0196	+	9.82627i	0.654116	+	0.377654i	0.790031	−	0.613066i	$-0.210064\pi$
$677$	17.0196	+	9.82627i	0.654116	+	0.377654i	−0.135915	+	0.990720i	$0.543398\pi$
$678$	10.4121	−	6.85478i	0.399875	−	0.263256i
$679$	6.25470	+	14.6927i	0.240033	+	0.563855i
$680$	−1.15913	+	43.2232i	−0.0444506	+	1.65753i
$681$	13.8480	−	23.9855i	0.530658	−	0.919126i
$682$	0.462561	−	0.922054i	0.0177124	−	0.0353073i
$683$	−5.62027	+	3.24486i	−0.215054	+	0.124161i	−0.603658	−	0.797244i	$-0.706291\pi$
$683$	−5.62027	+	3.24486i	−0.215054	+	0.124161i	0.388604	+	0.921405i	$0.372957\pi$
$684$	−1.32064	+	0.985000i	−0.0504958	+	0.0376624i
$685$	35.9873	+	7.39526i	1.37500	+	0.282558i
$686$	24.9845	+	7.85973i	0.953912	+	0.300086i
$687$	−10.6564			−0.406568
$688$	9.85226	+	41.2436i	0.375614	+	1.57240i
$689$	8.16886	−	4.71630i	0.311209	−	0.179677i
$690$	9.83896	+	7.75743i	0.374563	+	0.295320i
$691$	−14.9183	−	8.61308i	−0.567518	−	0.327657i	0.188639	−	0.982046i	$-0.439592\pi$
$691$	−14.9183	−	8.61308i	−0.567518	−	0.327657i	−0.756158	+	0.654390i	$0.772926\pi$
$692$	17.8464	+	7.67942i	0.678419	+	0.291928i
$693$	0.451810	+	1.06133i	0.0171629	+	0.0403167i
$694$	30.2816	−	19.9358i	1.14947	−	0.756752i
$695$	−14.6274	+	16.4680i	−0.554847	+	0.624667i
$696$	16.7056	−	14.0556i	0.633225	−	0.532777i
$697$	−31.2750	+	18.0566i	−1.18463	+	0.683944i
$698$	35.2627	−	2.06952i	1.33471	−	0.0783324i
$699$			35.4153i			1.33953i
$700$	−21.2537	+	15.7569i	−0.803315	+	0.595555i
$701$			20.0480i			0.757201i	0.925560	+	0.378600i	$0.123595\pi$
$701$			20.0480i			0.757201i	−0.925560	+	0.378600i	$0.876405\pi$
$702$	−0.603543	−	10.2838i	−0.0227792	−	0.388138i
$703$	−4.75176	+	2.74343i	−0.179216	+	0.103470i
$704$	2.07196	+	1.72920i	0.0780898	+	0.0651717i
$705$	17.4408	−	19.6355i	0.656858	−	0.739514i
$706$	−7.44029	−	11.3015i	−0.280019	−	0.425337i
$707$	−2.40754	+	3.20182i	−0.0905447	+	0.120417i
$708$	20.8003	+	8.95047i	0.781721	+	0.336379i
$709$	13.6342	+	7.87172i	0.512044	+	0.295629i	0.733673	−	0.679502i	$-0.237804\pi$
$709$	13.6342	+	7.87172i	0.512044	+	0.295629i	−0.221630	+	0.975131i	$0.571138\pi$
$710$	6.92134	−	8.77852i	0.259753	−	0.329452i
$711$	−11.5860	+	6.68917i	−0.434508	+	0.250863i
$712$	19.7715	+	7.16644i	0.740967	+	0.268574i
$713$	−6.55617			−0.245531
$714$	−33.3619	−	2.08828i	−1.24854	−	0.0781520i
$715$	−0.959546	−	0.197183i	−0.0358850	−	0.00737423i
$716$	2.85651	+	3.82986i	0.106753	+	0.143128i
$717$	−21.1385	+	12.2043i	−0.789432	+	0.455779i
$718$	24.9447	+	12.5139i	0.930928	+	0.467013i
$719$	−11.4051	+	19.7541i	−0.425337	+	0.736705i	−0.996452	−	0.0841652i	$-0.973178\pi$
$719$	−11.4051	+	19.7541i	−0.425337	+	0.736705i	0.571115	+	0.820870i	$0.306511\pi$
$720$	9.82204	−	6.09529i	0.366046	−	0.227158i
$721$	−2.43669	+	20.0171i	−0.0907471	+	0.745474i
$722$	14.4594	+	21.9632i	0.538122	+	0.817385i
$723$	−22.8257	−	13.1784i	−0.848898	−	0.490111i
$724$	−19.6076	+	2.30944i	−0.728712	+	0.0858297i
$725$	−29.3281	+	3.48427i	−1.08922	+	0.129403i
$726$	−20.0834	+	1.17867i	−0.745365	+	0.0437444i
$727$		−	43.1926i		−	1.60193i	−0.598714	−	0.800963i	$-0.704321\pi$
$727$		−	43.1926i		−	1.60193i	0.598714	−	0.800963i	$-0.295679\pi$
$728$	8.13783	−	5.31222i	0.301608	−	0.196884i
$729$	26.4511			0.979669
$730$	−5.38961	+	37.1548i	−0.199479	+	1.37516i
$731$	62.7655	−	36.2377i	2.32147	−	1.34030i
$732$	20.6194	−	2.42862i	0.762117	−	0.0897642i
$733$	−12.9526	−	7.47818i	−0.478415	−	0.276213i	0.241341	−	0.970440i	$-0.422413\pi$
$733$	−12.9526	−	7.47818i	−0.478415	−	0.276213i	−0.719756	+	0.694227i	$0.755746\pi$
$734$	11.9861	−	7.89103i	0.442416	−	0.291263i
$735$	−11.5871	−	16.8552i	−0.427398	−	0.621715i
$736$	3.91844	−	16.6982i	0.144435	−	0.615503i
$737$	3.69211	+	2.13164i	0.136001	+	0.0785200i
$738$	8.62966	+	4.32918i	0.317662	+	0.159359i
$739$	−1.37228	−	2.37687i	−0.0504803	−	0.0874344i	0.839681	−	0.543080i	$-0.182742\pi$
$739$	−1.37228	−	2.37687i	−0.0504803	−	0.0874344i	−0.890161	+	0.455645i	$0.849409\pi$
$740$	34.8611	−	16.3339i	1.28152	−	0.600447i
$741$	1.08165			0.0397353
$742$	−15.0323	+	22.6411i	−0.551854	+	0.831181i
$743$	20.5678			0.754559			0.377279	−	0.926099i	$-0.376860\pi$
$743$	20.5678			0.754559			0.377279	+	0.926099i	$0.376860\pi$
$744$	2.72342	−	7.51363i	0.0998453	−	0.275463i
$745$	10.2556	+	30.8517i	0.375735	+	1.13032i
$746$	11.7720	−	23.4659i	0.431002	−	0.859146i
$747$	−2.43503	+	4.21759i	−0.0890930	+	0.154314i
$748$	1.82318	−	4.23695i	0.0666622	−	0.154918i
$749$	−0.621200	+	5.10307i	−0.0226982	+	0.186462i
$750$	20.6546	+	0.533100i	0.754201	+	0.0194660i
$751$	31.6827	+	18.2920i	1.15612	+	0.667486i	0.950371	−	0.311119i	$-0.100704\pi$
$751$	31.6827	+	18.2920i	1.15612	+	0.667486i	0.205748	+	0.978605i	$0.434037\pi$
$752$	−34.4599	−	10.2500i	−1.25662	−	0.373779i
$753$	−24.3672	+	14.0684i	−0.887991	+	0.512682i
$754$	10.8298	−	0.635582i	0.394396	−	0.0231465i
$755$	−16.6427	−	3.42002i	−0.605691	−	0.124467i
$756$	14.7401	+	25.7617i	0.536093	+	0.936943i
$757$	34.7609			1.26341			0.631704	−	0.775210i	$-0.282356\pi$
$757$	34.7609			1.26341			0.631704	+	0.775210i	$0.282356\pi$
$758$	−33.7940	+	1.98332i	−1.22745	+	0.0720374i
$759$	−0.668291	−	1.15751i	−0.0242574	−	0.0420151i
$760$	1.92127	+	3.54387i	0.0696918	+	0.128550i
$761$	−7.09181	−	4.09446i	−0.257078	−	0.148424i	0.365923	−	0.930645i	$-0.380753\pi$
$761$	−7.09181	−	4.09446i	−0.257078	−	0.148424i	−0.623001	+	0.782221i	$0.714087\pi$
$762$	−4.56571	−	6.93512i	−0.165398	−	0.251233i
$763$	3.24592	+	2.44070i	0.117510	+	0.0883593i
$764$	−23.6579	−	10.1801i	−0.855914	−	0.368305i
$765$	−14.7716	−	13.1206i	−0.534069	−	0.474375i
$766$	−27.9206	−	14.0067i	−1.00881	−	0.506084i
$767$	5.62598	+	9.74449i	0.203142	+	0.351853i
$768$	17.5090	+	11.4271i	0.631803	+	0.412338i
$769$			29.2850i			1.05604i	0.849231	+	0.528021i	$0.177066\pi$
$769$			29.2850i			1.05604i	−0.849231	+	0.528021i	$0.822934\pi$
$770$	2.72869	−	0.721248i	0.0983351	−	0.0259920i
$771$	12.7973			0.460885
$772$	7.93887	−	5.92122i	0.285726	−	0.213109i
$773$	14.5234	−	8.38511i	0.522372	−	0.301591i	−0.215533	−	0.976497i	$-0.569149\pi$
$773$	14.5234	−	8.38511i	0.522372	−	0.301591i	0.737904	+	0.674905i	$0.235815\pi$
$774$	−17.3188	−	8.68819i	−0.622510	−	0.312291i
$775$	−8.65992	+	6.47260i	−0.311074	+	0.232503i
$776$	−16.8079	+	2.98675i	−0.603368	+	0.107218i
$777$	11.6574	+	27.3841i	0.418209	+	0.982400i
$778$	−3.67963	+	2.42247i	−0.131921	+	0.0868499i
$779$	−1.68343	+	2.91578i	−0.0603151	+	0.104469i
$780$	−7.56160	−	0.647580i	−0.270749	−	0.0231871i
$781$	−1.03276	+	0.596262i	−0.0369549	+	0.0213359i
$782$	−29.2648	+	1.71751i	−1.04651	+	0.0614179i
$783$			33.1322i			1.18405i
$784$	−14.1883	+	24.1390i	−0.506726	+	0.862107i
$785$	−39.6154	−	8.14083i	−1.41394	−	0.290559i
$786$	0.532788	+	9.07823i	0.0190039	+	0.323810i
$787$	0.115323	+	0.199746i	0.00411083	+	0.00712017i	0.868074	−	0.496436i	$-0.165358\pi$
$787$	0.115323	+	0.199746i	0.00411083	+	0.00712017i	−0.863963	+	0.503556i	$0.832025\pi$
$788$	−13.0425	+	1.53618i	−0.464620	+	0.0547242i
$789$	11.4244	−	19.7877i	0.406720	−	0.704460i
$790$	12.1280	+	30.4047i	0.431495	+	1.08175i
$791$	−16.4211	+	6.99047i	−0.583866	+	0.248552i
$792$	−1.21412	+	0.215749i	−0.0431419	+	0.00766631i
$793$	8.93450	+	5.15834i	0.317273	+	0.183178i
$794$	30.8813	+	15.4920i	1.09593	+	0.549790i
$795$	20.1398	−	6.69479i	0.714287	−	0.237440i
$796$	−33.0464	−	44.3069i	−1.17130	−	1.57042i
$797$			25.6496i			0.908554i	0.890860	+	0.454277i	$0.150102\pi$
$797$			25.6496i			0.908554i	−0.890860	+	0.454277i	$0.849898\pi$
$798$	−2.79098	+	1.38656i	−0.0987995	+	0.0490838i
$799$			61.4478i			2.17387i
$800$	−11.3095	−	25.9248i	−0.399852	−	0.916580i
$801$	−8.32200	+	4.80471i	−0.294043	+	0.169766i
$802$	15.9369	−	31.7682i	0.562752	−	1.12177i
$803$	2.00252	−	3.46846i	0.0706673	−	0.122399i
$804$	30.3395	+	13.0553i	1.06999	+	0.460423i
$805$	−11.8735	−	13.4455i	−0.418486	−	0.473893i
$806$	3.31694	−	2.18370i	0.116834	−	0.0769174i
$807$	−12.8885	+	22.3235i	−0.453696	+	0.785824i
$808$	−2.75715	−	3.27698i	−0.0969962	−	0.115284i
$809$	13.0378	+	22.5821i	0.458385	+	0.793946i	0.998876	−	0.0474041i	$-0.0150948\pi$
$809$	13.0378	+	22.5821i	0.458385	+	0.793946i	−0.540491	+	0.841350i	$0.681762\pi$
$810$	1.56730	−	10.8046i	0.0550691	−	0.379635i
$811$		−	16.3763i		−	0.575051i	−0.957773	−	0.287525i	$-0.907167\pi$
$811$		−	16.3763i		−	0.575051i	0.957773	−	0.287525i	$-0.0928325\pi$
$812$	−27.1293	+	15.5226i	−0.952051	+	0.544737i
$813$	−6.75171			−0.236793
$814$	−4.09978	+	0.240610i	−0.143697	+	0.00843338i
$815$	−5.21601	−	15.6913i	−0.182709	−	0.549641i
$816$	10.1882	−	34.2520i	0.356658	−	1.19906i
$817$	3.37845	−	5.85165i	0.118197	−	0.204723i
$818$	−13.1427	+	8.65242i	−0.459522	+	0.302525i
$819$	−0.536595	+	4.40805i	−0.0187501	+	0.154030i
$820$	13.5142	−	19.3758i	0.471936	−	0.676633i
$821$	34.7768	+	20.0784i	1.21372	+	0.700740i	0.963567	−	0.267467i	$-0.0861866\pi$
$821$	34.7768	+	20.0784i	1.21372	+	0.700740i	0.250150	+	0.968207i	$0.419520\pi$
$822$	−27.1399	−	13.6151i	−0.946614	−	0.474882i
$823$	27.4665	+	47.5734i	0.957422	+	1.65830i	0.728725	+	0.684806i	$0.240113\pi$
$823$	27.4665	+	47.5734i	0.957422	+	1.65830i	0.228697	+	0.973498i	$0.426553\pi$
$824$	−20.2669	−	7.34600i	−0.706029	−	0.255910i
$825$	−2.02549	−	0.869166i	−0.0705186	−	0.0302605i
$826$	−27.0082	−	17.9318i	−0.939735	−	0.623927i
$827$		−	36.3142i		−	1.26277i	−0.775471	−	0.631384i	$-0.782487\pi$
$827$		−	36.3142i		−	1.26277i	0.775471	−	0.631384i	$-0.217513\pi$
$828$	4.68565	+	6.28227i	0.162837	+	0.218324i
$829$	−2.57148	−	4.45393i	−0.0893111	−	0.154691i	0.817909	−	0.575348i	$-0.195133\pi$
$829$	−2.57148	−	4.45393i	−0.0893111	−	0.154691i	−0.907220	+	0.420656i	$0.861800\pi$
$830$	9.35746	+	7.37779i	0.324802	+	0.256087i
$831$	−9.80025	+	16.9745i	−0.339967	+	0.588840i
$832$	3.57930	+	9.75318i	0.124090	+	0.338131i
$833$	46.4589	+	11.4811i	1.60971	+	0.397796i
$834$	15.2046	−	10.0099i	0.526493	−	0.346615i
$835$	27.8005	−	31.2988i	0.962075	−	1.08314i
$836$	−0.0503025	−	0.427079i	−0.00173975	−	0.0147708i
$837$	6.06429	+	10.5037i	0.209612	+	0.363059i
$838$	0.335877	+	5.72305i	0.0116027	+	0.197699i
$839$	−34.7304			−1.19903			−0.599514	−	0.800365i	$-0.704639\pi$
$839$	−34.7304			−1.19903			−0.599514	+	0.800365i	$0.704639\pi$
$840$	20.3413	−	8.02224i	0.701843	−	0.276794i
$841$	−5.89106			−0.203140
$842$	1.85781	+	31.6554i	0.0640243	+	1.09092i
$843$	15.4920	+	26.8329i	0.533573	+	0.924175i
$844$	−32.3191	+	3.80664i	−1.11247	+	0.131030i
$845$	18.9140	+	16.7999i	0.650661	+	0.577936i
$846$	13.7211	−	9.03326i	0.471743	−	0.310570i
$847$	28.5911	+	3.48041i	0.982403	+	0.119588i
$848$	−19.9752	−	21.0973i	−0.685950	−	0.724485i
$849$	7.73576	−	13.3987i	0.265491	−	0.459843i
$850$	−36.9597	+	31.1604i	−1.26771	+	1.06879i
$851$	13.0505	+	22.6041i	0.447365	+	0.774859i
$852$	−7.40584	+	5.52367i	−0.253720	+	0.189238i
$853$		−	1.93358i		−	0.0662045i	−0.999452	−	0.0331023i	$-0.989461\pi$
$853$		−	1.93358i		−	0.0662045i	0.999452	−	0.0331023i	$-0.0105387\pi$
$854$	−29.6662	−	1.85695i	−1.01516	−	0.0635435i
$855$	−1.80428	−	0.370772i	−0.0617049	−	0.0126801i
$856$	−5.16675	−	1.87276i	−0.176596	−	0.0640096i
$857$	6.25417	+	10.8325i	0.213638	+	0.370032i	0.952850	−	0.303440i	$-0.0981353\pi$
$857$	6.25417	+	10.8325i	0.213638	+	0.370032i	−0.739212	+	0.673473i	$0.764802\pi$
$858$	0.723645	+	0.363026i	0.0247048	+	0.0123935i
$859$	10.9495	+	6.32172i	0.373594	+	0.215694i	0.675027	−	0.737793i	$-0.264132\pi$
$859$	10.9495	+	6.32172i	0.373594	+	0.215694i	−0.301434	+	0.953487i	$0.597465\pi$
$860$	−27.1215	+	38.8851i	−0.924836	+	1.32597i
$861$	14.5967	+	10.9756i	0.497453	+	0.374048i
$862$	19.2066	−	12.6446i	0.654181	−	0.430677i
$863$	22.6283	−	39.1934i	0.770276	−	1.33416i	−0.167135	−	0.985934i	$-0.553452\pi$
$863$	22.6283	−	39.1934i	0.770276	−	1.33416i	0.937411	−	0.348224i	$-0.113215\pi$
$864$	−30.3766	+	9.16763i	−1.03343	+	0.311889i
$865$	6.85199	+	20.6128i	0.232975	+	0.700855i
$866$	−3.58286	+	0.210273i	−0.121751	+	0.00714537i
$867$	−38.8624			−1.31983
$868$	−5.75944	+	9.88658i	−0.195488	+	0.335572i
$869$		−	3.49199i		−	0.118458i
$870$	24.1561	+	3.50405i	0.818970	+	0.118798i
$871$	8.20612	+	14.2134i	0.278054	+	0.481603i
$872$	−3.32211	+	2.79513i	−0.112501	+	0.0946550i
$873$	3.90021	−	6.75536i	0.132002	−	0.228634i
$874$	−2.28277	+	1.50285i	−0.0772159	+	0.0508348i
$875$	−28.9576	−	6.03783i	−0.978947	−	0.204116i
$876$	12.2644	−	28.5017i	0.414377	−	0.962982i
$877$	−21.2278	+	36.7676i	−0.716810	+	1.24155i	0.245447	+	0.969410i	$0.421065\pi$
$877$	−21.2278	+	36.7676i	−0.716810	+	1.24155i	−0.962257	+	0.272142i	$0.912268\pi$
$878$	−14.4442	+	28.7926i	−0.487467	+	0.971702i
$879$	−6.71276	+	3.87561i	−0.226416	+	0.130721i
$880$	0.0959644	+	3.01574i	0.00323496	+	0.101661i
$881$		−	12.5917i		−	0.424225i	−0.977245	−	0.212113i	$-0.931966\pi$
$881$		−	12.5917i		−	0.424225i	0.977245	−	0.212113i	$-0.0680344\pi$
$882$	−4.26610	−	12.0620i	−0.143647	−	0.406148i
$883$		−	9.44218i		−	0.317755i	−0.987298	−	0.158877i	$-0.949213\pi$
$883$		−	9.44218i		−	0.317755i	0.987298	−	0.158877i	$-0.0507874\pi$
$884$	14.2338	−	10.6163i	0.478734	−	0.357065i
$885$	7.98609	+	24.0245i	0.268450	+	0.807573i
$886$	−2.40686	−	1.20743i	−0.0808601	−	0.0405645i
$887$	6.38100	+	3.68407i	0.214253	+	0.123699i	0.603286	−	0.797525i	$-0.293858\pi$
$887$	6.38100	+	3.68407i	0.214253	+	0.123699i	−0.389033	+	0.921224i	$0.627191\pi$
$888$	−31.3263	+	5.56668i	−1.05124	+	0.186806i
$889$	4.65609	+	10.9375i	0.156160	+	0.366831i
$890$	8.71132	+	21.8391i	0.292004	+	0.732050i
$891$	−0.582330	+	1.00863i	−0.0195088	+	0.0337902i
$892$	−0.417467	−	3.54438i	−0.0139778	−	0.118675i
$893$	2.86440	+	4.96128i	0.0958535	+	0.166023i
$894$	−1.57423	−	26.8234i	−0.0526500	−	0.897108i
$895$	−1.07524	+	5.23241i	−0.0359414	+	0.174900i
$896$	−21.7383	−	20.5779i	−0.726224	−	0.687458i
$897$		−	5.14540i		−	0.171800i
$898$	32.3161	−	1.89659i	1.07840	−	0.0632900i
$899$	−11.0612	+	6.38622i	−0.368913	+	0.212992i
$900$	12.3914	+	3.67221i	0.413046	+	0.122407i
$901$	−24.8285	+	43.0043i	−0.827158	+	1.43268i
$902$	−2.10485	+	1.38572i	−0.0700839	+	0.0461395i
$903$	−29.2939	−	22.0269i	−0.974839	−	0.733008i
$904$	−3.33810	−	18.7851i	−0.111023	−	0.624782i
$905$	−16.5034	−	14.6588i	−0.548590	−	0.487274i
$906$	12.5512	+	6.29646i	0.416984	+	0.209186i
$907$	−29.0520	+	16.7732i	−0.964657	+	0.556945i	−0.897603	−	0.440804i	$-0.854693\pi$
$907$	−29.0520	+	16.7732i	−0.964657	+	0.556945i	−0.0670537	+	0.997749i	$0.521360\pi$
$908$	−25.3433	−	33.9789i	−0.841045	−	1.12763i
$909$	1.95686			0.0649048
$910$	10.4855	+	2.84770i	0.347591	+	0.0944003i
$911$		−	49.7262i		−	1.64750i	−0.566951	−	0.823751i	$-0.691877\pi$
$911$		−	49.7262i		−	1.64750i	0.566951	−	0.823751i	$-0.308123\pi$
$912$	−0.774072	−	3.24043i	−0.0256321	−	0.107301i
$913$	−0.635586	−	1.10087i	−0.0210348	−	0.0364334i
$914$	46.7681	+	23.4619i	1.54695	+	0.776049i
$915$	17.3550	+	15.4152i	0.573739	+	0.509611i
$916$	−6.44670	+	14.9817i	−0.213005	+	0.495008i
$917$	1.57324	−	12.9240i	0.0519530	−	0.426787i
$918$	29.8208	+	45.2965i	0.984232	+	1.49501i
$919$	15.1509	+	8.74736i	0.499781	+	0.288549i	0.728623	−	0.684915i	$-0.240161\pi$
$919$	15.1509	+	8.74736i	0.499781	+	0.288549i	−0.228842	+	0.973464i	$0.573494\pi$
$920$	16.8582	−	9.13948i	0.555798	−	0.301320i
$921$	5.77489	+	10.0024i	0.190289	+	0.329590i
$922$	−9.94860	+	0.583869i	−0.327640	+	0.0192287i
$923$	−4.59083			−0.151109
$924$	−2.33258	−	0.00907846i	−0.0767364	−	0.000298659i
$925$	39.5541	+	16.9732i	1.30053	+	0.558076i
$926$	51.9793	−	3.05059i	1.70815	−	0.100249i
$927$	8.53051	−	4.92509i	0.280179	−	0.161761i
$928$	−9.65431	−	31.9892i	−0.316918	−	1.05010i
$929$	−14.5419	−	8.39576i	−0.477104	−	0.275456i	0.242105	−	0.970250i	$-0.422162\pi$
$929$	−14.5419	−	8.39576i	−0.477104	−	0.275456i	−0.719209	+	0.694794i	$0.755496\pi$
$930$	8.29940	−	3.31051i	0.272148	−	0.108556i
$931$	4.28628	−	1.23871i	0.140477	−	0.0405971i
$932$	49.7897	+	21.4248i	1.63092	+	0.701793i
$933$	−14.8168	+	25.6634i	−0.485079	+	0.840182i
$934$	17.3139	−	34.5130i	0.566529	−	1.12930i
$935$	4.89371	−	1.62674i	0.160041	−	0.0532002i
$936$	−4.46306	−	1.61770i	−0.145880	−	0.0528761i
$937$	43.8764			1.43338			0.716690	−	0.697392i	$-0.245656\pi$
$937$	43.8764			1.43338			0.716690	+	0.697392i	$0.245656\pi$
$938$	−39.3944	−	26.1555i	−1.28627	−	0.854008i
$939$	−26.7283			−0.872244
$940$	−17.0542	−	36.3983i	−0.556246	−	1.18718i
$941$	1.66745	+	2.88811i	0.0543573	+	0.0941495i	0.891924	−	0.452186i	$-0.149356\pi$
$941$	1.66745	+	2.88811i	0.0543573	+	0.0941495i	−0.837566	+	0.546336i	$0.816022\pi$
$942$	29.8761	+	14.9878i	0.973417	+	0.488327i
$943$	13.8704	+	8.00807i	0.451682	+	0.260779i
$944$	25.1666	−	23.8280i	0.819103	−	0.775536i
$945$	−10.5585	+	31.4593i	−0.343467	+	1.02337i
$946$	4.22421	−	2.78099i	0.137341	−	0.0904178i
$947$	13.9434	+	8.05021i	0.453099	+	0.261597i	0.709138	−	0.705070i	$-0.249084\pi$
$947$	13.9434	+	8.05021i	0.453099	+	0.261597i	−0.256039	+	0.966666i	$0.582418\pi$
$948$	−3.16458	−	26.8679i	−0.102781	−	0.872629i
$949$	13.3524	−	7.70903i	0.433438	−	0.250246i
$950$	−1.53157	+	4.23877i	−0.0496908	+	0.137524i
$951$	−2.72791			−0.0884587
$952$	−23.1184	+	45.6395i	−0.749273	+	1.47918i
$953$			3.07172i			0.0995026i	0.998762	+	0.0497513i	$0.0158429\pi$
$953$			3.07172i			0.0995026i	−0.998762	+	0.0497513i	$0.984157\pi$
$954$	13.2527	−	0.777783i	0.429073	−	0.0251817i
$955$	−9.08327	−	27.3251i	−0.293928	−	0.884219i
$956$	4.36990	+	37.1014i	0.141333	+	1.19994i
$957$	−2.25501	−	1.30193i	−0.0728943	−	0.0420855i
$958$	13.2202	+	20.0809i	0.427124	+	0.648783i
$959$	34.7442	+	26.1251i	1.12195	+	0.843625i
$960$	3.47135	+	23.1167i	0.112037	+	0.746087i
$961$	13.1622	−	22.7976i	0.424588	−	0.735408i
$962$	−14.1315	−	7.08924i	−0.455616	−	0.228566i
$963$	2.17473	−	1.25558i	0.0700798	−	0.0404606i
$964$	−32.3359	+	24.1178i	−1.04147	+	0.776783i
$965$	10.8462	+	2.22886i	0.349152	+	0.0717494i
$966$	6.59588	+	13.2767i	0.212219	+	0.427170i
$967$	19.1674			0.616383			0.308192	−	0.951324i	$-0.400276\pi$
$967$	19.1674			0.616383			0.308192	+	0.951324i	$0.400276\pi$
$968$	−10.4926	+	28.9479i	−0.337244	+	0.930421i
$969$	−4.93136	+	2.84712i	−0.158418	+	0.0914627i
$970$	−14.9879	−	11.8171i	−0.481234	−	0.379424i
$971$	−36.7871	−	21.2390i	−1.18055	−	0.681593i	−0.224412	−	0.974494i	$-0.572046\pi$
$971$	−36.7871	−	21.2390i	−1.18055	−	0.681593i	−0.956143	+	0.292901i	$0.905379\pi$
$972$	9.73599	−	22.6257i	0.312282	−	0.725721i
$973$	−23.9794	+	10.2081i	−0.768744	+	0.327255i
$974$	−30.8205	−	46.8151i	−0.987554	−	1.50005i
$975$	−5.07981	−	6.79646i	−0.162684	−	0.217661i
$976$	9.05957	−	30.4577i	0.289990	−	0.974927i
$977$	4.83162	−	2.78954i	0.154577	−	0.0892452i	−0.420716	−	0.907192i	$-0.638221\pi$
$977$	4.83162	−	2.78954i	0.154577	−	0.0892452i	0.575293	+	0.817947i	$0.304888\pi$
$978$	0.800656	+	13.6425i	0.0256022	+	0.436238i
$979$		−	2.50823i		−	0.0801634i
$980$	−30.7062	+	6.09341i	−0.980873	+	0.194647i
$981$		−	1.98381i		−	0.0633382i
$982$	60.4599	−	3.54831i	1.92935	−	0.113231i
$983$	−2.32060	+	1.33980i	−0.0740156	+	0.0427329i	−0.536551	−	0.843868i	$-0.680273\pi$
$983$	−2.32060	+	1.33980i	−0.0740156	+	0.0427329i	0.462535	+	0.886601i	$0.346940\pi$
$984$	−14.9393	+	12.5695i	−0.476247	+	0.400700i
$985$	−10.9776	−	9.75064i	−0.349776	−	0.310681i
$986$	−47.7011	+	31.4038i	−1.51911	+	1.00010i
$987$	28.5916	−	12.1715i	0.910081	−	0.387422i
$988$	0.654352	−	1.52067i	0.0208177	−	0.0483789i
$989$	−27.8363	−	16.0713i	−0.885143	−	0.511038i
$990$	−1.08266	−	0.853611i	−0.0344091	−	0.0271295i
$991$	0.289819	−	0.167327i	0.00920640	−	0.00531532i	−0.495390	−	0.868671i	$-0.664975\pi$
$991$	0.289819	−	0.167327i	0.00920640	−	0.00531532i	0.504596	+	0.863356i	$0.331641\pi$
$992$	−8.91571	−	8.37423i	−0.283074	−	0.265882i
$993$	−17.3020			−0.549063
$994$	11.8457	−	5.88498i	0.375724	−	0.186660i
$995$	12.4393	−	60.5328i	0.394352	−	1.91902i
$996$	−5.88795	−	7.89425i	−0.186567	−	0.250139i
$997$	26.3710	−	15.2253i	0.835179	−	0.482191i	−0.0204437	−	0.999791i	$-0.506508\pi$
$997$	26.3710	−	15.2253i	0.835179	−	0.482191i	0.855623	+	0.517600i	$0.173175\pi$
$998$	0.461488	−	0.919916i	0.0146082	−	0.0291194i
$999$	24.1427	−	41.8164i	0.763842	−	1.32301i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.ba.b.19.1	✓	80
4.3	odd	2		1120.2.bq.b.719.15		80
5.4	even	2	inner	280.2.ba.b.19.40	yes	80
7.3	odd	6	inner	280.2.ba.b.59.27	yes	80
8.3	odd	2	inner	280.2.ba.b.19.14	yes	80
8.5	even	2		1120.2.bq.b.719.16		80
20.19	odd	2		1120.2.bq.b.719.25		80
28.3	even	6		1120.2.bq.b.1039.26		80
35.24	odd	6	inner	280.2.ba.b.59.14	yes	80
40.19	odd	2	inner	280.2.ba.b.19.27	yes	80
40.29	even	2		1120.2.bq.b.719.26		80
56.3	even	6	inner	280.2.ba.b.59.40	yes	80
56.45	odd	6		1120.2.bq.b.1039.25		80
140.59	even	6		1120.2.bq.b.1039.16		80
280.59	even	6	inner	280.2.ba.b.59.1	yes	80
280.269	odd	6		1120.2.bq.b.1039.15		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.ba.b.19.1	✓	80	1.1	even	1	trivial
280.2.ba.b.19.14	yes	80	8.3	odd	2	inner
280.2.ba.b.19.27	yes	80	40.19	odd	2	inner
280.2.ba.b.19.40	yes	80	5.4	even	2	inner
280.2.ba.b.59.1	yes	80	280.59	even	6	inner
280.2.ba.b.59.14	yes	80	35.24	odd	6	inner
280.2.ba.b.59.27	yes	80	7.3	odd	6	inner
280.2.ba.b.59.40	yes	80	56.3	even	6	inner
1120.2.bq.b.719.15		80	4.3	odd	2
1120.2.bq.b.719.16		80	8.5	even	2
1120.2.bq.b.719.25		80	20.19	odd	2
1120.2.bq.b.719.26		80	40.29	even	2
1120.2.bq.b.1039.15		80	280.269	odd	6
1120.2.bq.b.1039.16		80	140.59	even	6
1120.2.bq.b.1039.25		80	56.45	odd	6
1120.2.bq.b.1039.26		80	28.3	even	6

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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.ba (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41178 + 0.0828556i) q^{2} +(0.653375 + 1.13168i) q^{3} +(1.98627 - 0.233948i) q^{4} +(1.67181 + 1.48495i) q^{5} +(-1.01619 - 1.54355i) q^{6} +(1.03631 + 2.43435i) q^{7} +(-2.78480 + 0.494858i) q^{8} +(0.646203 - 1.11926i) q^{9} +O(q^{10})\)	\(q+(-1.41178 + 0.0828556i) q^{2} +(0.653375 + 1.13168i) q^{3} +(1.98627 - 0.233948i) q^{4} +(1.67181 + 1.48495i) q^{5} +(-1.01619 - 1.54355i) q^{6} +(1.03631 + 2.43435i) q^{7} +(-2.78480 + 0.494858i) q^{8} +(0.646203 - 1.11926i) q^{9} +(-2.48327 - 1.95791i) q^{10} +(0.168671 + 0.292146i) q^{11} +(1.56253 + 2.09496i) q^{12} +1.29865i q^{13} +(-1.66474 - 3.35092i) q^{14} +(-0.588166 + 2.86217i) q^{15} +(3.89054 - 0.929369i) q^{16} +(-3.41832 - 5.92071i) q^{17} +(-0.819562 + 1.63369i) q^{18} +(-0.551990 - 0.318691i) q^{19} +(3.66806 + 2.55839i) q^{20} +(-2.07781 + 2.76331i) q^{21} +(-0.262332 - 0.398472i) q^{22} +(-1.51602 + 2.62582i) q^{23} +(-2.37954 - 2.82817i) q^{24} +(0.589869 + 4.96508i) q^{25} +(-0.107601 - 1.83342i) q^{26} +5.60910 q^{27} +(2.62790 + 4.59284i) q^{28} +5.90687i q^{29} +(0.593216 - 4.08950i) q^{30} +(1.08115 + 1.87261i) q^{31} +(-5.41559 + 1.63442i) q^{32} +(-0.220410 + 0.381762i) q^{33} +(5.31650 + 8.07554i) q^{34} +(-1.88238 + 5.60862i) q^{35} +(1.02169 - 2.37432i) q^{36} +(4.30421 - 7.45510i) q^{37} +(0.805696 + 0.404188i) q^{38} +(-1.46966 + 0.848507i) q^{39} +(-5.39048 - 3.30797i) q^{40} -5.28231i q^{41} +(2.70446 - 4.07335i) q^{42} +10.6010i q^{43} +(0.403372 + 0.540820i) q^{44} +(2.74236 - 0.911602i) q^{45} +(1.92272 - 3.83270i) q^{46} +(-7.78384 - 4.49400i) q^{47} +(3.59373 + 3.79561i) q^{48} +(-4.85214 + 5.04547i) q^{49} +(-1.24415 - 6.96075i) q^{50} +(4.46689 - 7.73688i) q^{51} +(0.303818 + 2.57948i) q^{52} +(-3.63168 - 6.29026i) q^{53} +(-7.91884 + 0.464745i) q^{54} +(-0.151837 + 0.738878i) q^{55} +(-4.09056 - 6.26636i) q^{56} -0.832900i q^{57} +(-0.489417 - 8.33922i) q^{58} +(7.50354 - 4.33217i) q^{59} +(-0.498655 + 5.82265i) q^{60} +(3.97207 - 6.87982i) q^{61} +(-1.68151 - 2.55414i) q^{62} +(3.39433 + 0.413194i) q^{63} +(7.51023 - 2.75616i) q^{64} +(-1.92843 + 2.17110i) q^{65} +(0.279541 - 0.557227i) q^{66} +(10.9447 - 6.31895i) q^{67} +(-8.17485 - 10.9604i) q^{68} -3.96211 q^{69} +(2.19281 - 8.07413i) q^{70} +3.53507i q^{71} +(-1.24567 + 3.43668i) q^{72} +(-5.93618 - 10.2818i) q^{73} +(-5.45891 + 10.8816i) q^{74} +(-5.23347 + 3.91160i) q^{75} +(-1.17096 - 0.503870i) q^{76} +(-0.536392 + 0.713356i) q^{77} +(2.00454 - 1.31968i) q^{78} +(-8.96466 - 5.17575i) q^{79} +(7.88428 + 4.22351i) q^{80} +(1.72624 + 2.98993i) q^{81} +(0.437669 + 7.45749i) q^{82} -3.76821 q^{83} +(-3.48061 + 5.97478i) q^{84} +(3.07716 - 14.9743i) q^{85} +(-0.878353 - 14.9663i) q^{86} +(-6.68467 + 3.85940i) q^{87} +(-0.614285 - 0.730100i) q^{88} +(-6.43915 - 3.71765i) q^{89} +(-3.79609 + 1.51421i) q^{90} +(-3.16138 + 1.34580i) q^{91} +(-2.39691 + 5.57025i) q^{92} +(-1.41279 + 2.44703i) q^{93} +(11.3615 + 5.69962i) q^{94} +(-0.449580 - 1.35247i) q^{95} +(-5.38805 - 5.06082i) q^{96} +6.03558 q^{97} +(6.43213 - 7.52514i) q^{98} +0.435982 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 6 q^{4} - 52 q^{9}+O(q^{10}) \) 80 * q + 6 * q^4 - 52 * q^9	\( 80 q + 6 q^{4} - 52 q^{9} - 12 q^{10} - 6 q^{14} + 10 q^{16} - 48 q^{19} + 12 q^{24} - 22 q^{25} + 54 q^{26} - 20 q^{30} - 22 q^{35} + 28 q^{36} + 12 q^{40} + 38 q^{44} + 14 q^{46} + 16 q^{49} - 40 q^{50} + 20 q^{51} + 60 q^{54} - 104 q^{56} - 60 q^{59} - 42 q^{60} - 60 q^{64} - 12 q^{65} + 84 q^{66} - 22 q^{70} + 34 q^{74} - 6 q^{75} - 96 q^{80} - 100 q^{84} - 8 q^{86} - 36 q^{89} + 72 q^{91} - 66 q^{94} + 96 q^{96} + 104 q^{99}+O(q^{100}) \) 80 * q + 6 * q^4 - 52 * q^9 - 12 * q^10 - 6 * q^14 + 10 * q^16 - 48 * q^19 + 12 * q^24 - 22 * q^25 + 54 * q^26 - 20 * q^30 - 22 * q^35 + 28 * q^36 + 12 * q^40 + 38 * q^44 + 14 * q^46 + 16 * q^49 - 40 * q^50 + 20 * q^51 + 60 * q^54 - 104 * q^56 - 60 * q^59 - 42 * q^60 - 60 * q^64 - 12 * q^65 + 84 * q^66 - 22 * q^70 + 34 * q^74 - 6 * q^75 - 96 * q^80 - 100 * q^84 - 8 * q^86 - 36 * q^89 + 72 * q^91 - 66 * q^94 + 96 * q^96 + 104 * q^99

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