LMFDB - Embedded newform 280.2.ba.b.59.1

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			59.1
Character	$\chi$	$=$	280.59
Dual form			280.2.ba.b.19.1

$q$-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 $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

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

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	−0.613431	−	0.789748i	$-0.710211\pi$
$3$	0.653375	−	1.13168i	0.377226	−	0.653375i	0.990658	+	0.136373i	$0.0435446\pi$
$4$	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	−0.839477	−	0.543396i	$-0.817138\pi$
$11$	0.168671	−	0.292146i	0.0508561	−	0.0880853i	0.890333	+	0.455310i	$0.150472\pi$
$12$	1.56253	−	2.09496i	0.451064	−	0.604764i
$13$		−	1.29865i		−	0.360182i	−0.983650	−	0.180091i	$-0.942361\pi$
$13$		−	1.29865i		−	0.360182i	0.983650	−	0.180091i	$-0.0576391\pi$
$14$	−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	0.0697076	+	0.997567i	$0.477793\pi$
$17$	−3.41832	+	5.92071i	−0.829065	+	1.43598i	−0.898773	+	0.438415i	$0.855540\pi$
$18$	−0.819562	−	1.63369i	−0.193173	−	0.385064i
$19$	−0.551990	+	0.318691i	−0.126635	+	0.0731128i	−0.561979	−	0.827151i	$-0.689960\pi$
$19$	−0.551990	+	0.318691i	−0.126635	+	0.0731128i	0.435344	+	0.900264i	$0.356627\pi$
$20$	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	0.663562	−	0.748121i	$-0.269044\pi$
$23$	−1.51602	−	2.62582i	−0.316111	−	0.547521i	−0.979673	+	0.200601i	$0.935711\pi$
$24$	−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	$-0.815222\pi$
$29$		−	5.90687i		−	1.09688i	0.836191	−	0.548439i	$-0.184778\pi$
$30$	0.593216	+	4.08950i	0.108306	+	0.746638i
$31$	1.08115	−	1.87261i	0.194181	−	0.336331i	−0.752451	−	0.658648i	$-0.771129\pi$
$31$	1.08115	−	1.87261i	0.194181	−	0.336331i	0.946632	+	0.322318i	$0.104462\pi$
$32$	−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	0.965742	+	0.259503i	$0.0835587\pi$
$37$	4.30421	+	7.45510i	0.707607	+	1.22561i	−0.258135	+	0.966109i	$0.583108\pi$
$38$	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	$0.135337\pi$
$41$			5.28231i			0.824959i	−0.910967	+	0.412479i	$0.864663\pi$
$42$	2.70446	+	4.07335i	0.417307	+	0.628532i
$43$		−	10.6010i		−	1.61664i	−0.588744	−	0.808320i	$-0.700377\pi$
$43$		−	10.6010i		−	1.61664i	0.588744	−	0.808320i	$-0.299623\pi$
$44$	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	−0.945285	−	0.326247i	$-0.894216\pi$
$47$	−7.78384	+	4.49400i	−1.13539	+	0.655517i	−0.190105	+	0.981764i	$0.560883\pi$
$48$	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	−0.999999	−	0.00132737i	$-0.999577\pi$
$53$	−3.63168	+	6.29026i	−0.498850	+	0.864034i	0.501149	+	0.865361i	$0.332911\pi$
$54$	−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	0.901326	−	0.433142i	$-0.142595\pi$
$59$	7.50354	+	4.33217i	0.976877	+	0.564000i	0.0755513	+	0.997142i	$0.475928\pi$
$60$	−0.498655	−	5.82265i	−0.0643761	−	0.751701i
$61$	3.97207	+	6.87982i	0.508571	+	0.880871i	0.999951	+	0.00992531i	$0.00315937\pi$
$61$	3.97207	+	6.87982i	0.508571	+	0.880871i	−0.491380	+	0.870945i	$0.663507\pi$
$62$	−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	0.986378	−	0.164492i	$-0.0525985\pi$
$67$	10.9447	+	6.31895i	1.33711	+	0.771983i	0.350735	+	0.936475i	$0.385932\pi$
$68$	−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	$-0.932729\pi$
$71$		−	3.53507i		−	0.419536i	0.977751	−	0.209768i	$-0.0672708\pi$
$72$	−1.24567	−	3.43668i	−0.146804	−	0.405017i
$73$	−5.93618	+	10.2818i	−0.694777	+	1.20339i	0.275479	+	0.961307i	$0.411164\pi$
$73$	−5.93618	+	10.2818i	−0.694777	+	1.20339i	−0.970256	+	0.242082i	$0.922170\pi$
$74$	−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	−0.910782	−	0.412887i	$-0.864521\pi$
$79$	−8.96466	+	5.17575i	−1.00860	+	0.582317i	−0.0978208	+	0.995204i	$0.531187\pi$
$80$	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	−0.800815	−	0.598912i	$-0.795600\pi$
$89$	−6.43915	+	3.71765i	−0.682549	+	0.394070i	0.118266	+	0.992982i	$0.462266\pi$
$90$	−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	−0.825900	−	0.563817i	$-0.809332\pi$
$101$	0.757059	−	1.31127i	0.0753302	−	0.130476i	0.901230	+	0.433341i	$0.142666\pi$
$102$	−5.66524	−	11.2929i	−0.560943	−	1.11817i
$103$	6.60049	−	3.81079i	0.650366	−	0.375489i	−0.138231	−	0.990400i	$-0.544142\pi$
$103$	6.60049	−	3.81079i	0.650366	−	0.375489i	0.788596	+	0.614911i	$0.210808\pi$
$104$	−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	−0.416453	−	0.909157i	$-0.636727\pi$
$107$	1.68270	−	0.971509i	0.162673	−	0.0939193i	0.579126	+	0.815238i	$0.303394\pi$
$108$	11.1412	+	1.31224i	1.07206	+	0.126270i
$109$	1.32933	+	0.767488i	0.127326	+	0.0735120i	0.562310	−	0.826926i	$-0.309913\pi$
$109$	1.32933	+	0.767488i	0.127326	+	0.0735120i	−0.434984	+	0.900438i	$0.643246\pi$
$110$	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	$-0.897229\pi$
$113$		−	6.74556i		−	0.634569i	0.948330	−	0.317285i	$-0.102771\pi$
$114$	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	−0.674479	−	0.738294i	$-0.735632\pi$
$131$	−4.26159	+	2.46043i	−0.372336	+	0.214969i	0.302142	+	0.953263i	$0.402298\pi$
$132$	−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	0.963989	−	0.265942i	$-0.0856829\pi$
$137$	14.2291	+	8.21516i	1.21567	+	0.701868i	0.251682	+	0.967810i	$0.419016\pi$
$138$	5.59364	+	0.328283i	0.476162	+	0.0279453i
$139$		−	9.85042i		−	0.835502i	−0.908562	−	0.417751i	$-0.862818\pi$
$139$		−	9.85042i		−	0.835502i	0.908562	−	0.417751i	$-0.137182\pi$
$140$	−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	0.114122	−	0.993467i	$-0.463595\pi$
$149$	12.5917	−	7.26981i	1.03155	−	0.595566i	0.917428	+	0.397901i	$0.130261\pi$
$150$	7.06444	+	5.95596i	0.576809	+	0.486302i
$151$	−6.58039	−	3.79919i	−0.535504	−	0.309174i	0.207751	−	0.978182i	$-0.433386\pi$
$151$	−6.58039	−	3.79919i	−0.535504	−	0.309174i	−0.743255	+	0.669008i	$0.766719\pi$
$152$	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	−0.278964	−	0.960302i	$-0.589991\pi$
$157$	−15.6636	−	9.04339i	−1.25009	−	0.721741i	−0.971128	+	0.238561i	$0.923324\pi$
$158$	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	−0.729379	−	0.684109i	$-0.760191\pi$
$163$	−6.40416	+	3.69745i	−0.501613	+	0.289606i	0.227766	+	0.973716i	$0.426858\pi$
$164$	−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	$0.257864\pi$
$167$			18.7215i			1.44872i	−0.689424	+	0.724358i	$0.742136\pi$
$168$	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	−0.144852	−	0.989453i	$-0.546271\pi$
$173$	8.41281	−	4.85714i	0.639614	−	0.369281i	0.784466	+	0.620172i	$0.212937\pi$
$174$	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	−0.817928	−	0.575320i	$-0.804878\pi$
$179$	1.19445	−	2.06885i	0.0892775	−	0.154633i	0.907206	+	0.420687i	$0.138211\pi$
$180$	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	−0.845898	−	0.533345i	$-0.820935\pi$
$191$	−11.1524	+	6.43881i	−0.806956	+	0.465896i	0.0389418	+	0.999241i	$0.487601\pi$
$192$	8.02609	−	6.69836i	0.579233	−	0.483412i
$193$	4.28850	+	2.47597i	0.308693	+	0.178224i	0.646341	−	0.763048i	$-0.276298\pi$
$193$	4.28850	+	2.47597i	0.308693	+	0.178224i	−0.337649	+	0.941272i	$0.609632\pi$
$194$	−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	−0.315577	+	0.948900i	$0.602198\pi$
$199$	−13.8184	+	23.9342i	−0.979560	+	1.69665i	−0.663983	+	0.747748i	$0.731135\pi$
$200$	−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	$0.0190296\pi$
$223$			1.78444i			0.119495i	−0.998214	+	0.0597475i	$0.980970\pi$
$224$	−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	0.263909	+	0.964548i	$0.414988\pi$
$227$	−10.5973	+	18.3551i	−0.703368	+	1.21827i	−0.967277	+	0.253722i	$0.918345\pi$
$228$	−0.194856	+	1.65436i	−0.0129046	+	0.109563i
$229$	−4.07746	−	7.06236i	−0.269446	−	0.466694i	0.699273	−	0.714855i	$-0.253507\pi$
$229$	−4.07746	−	7.06236i	−0.269446	−	0.466694i	−0.968719	+	0.248161i	$0.920174\pi$
$230$	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	0.538652	−	0.842528i	$-0.318934\pi$
$233$	23.4709	−	13.5509i	1.53763	−	0.887750i	0.998977	−	0.0452221i	$-0.0143995\pi$
$234$	−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	$-0.793525\pi$
$239$		−	18.6789i		−	1.20824i	0.796894	−	0.604119i	$-0.206475\pi$
$240$	0.371735	−	11.6820i	0.0239954	−	0.754071i
$241$	−17.4676	−	10.0849i	−1.12518	−	0.649625i	−0.182465	−	0.983212i	$-0.558408\pi$
$241$	−17.4676	−	10.0849i	−1.12518	−	0.649625i	−0.942719	+	0.333587i	$0.891741\pi$
$242$	−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	$-0.762179\pi$
$251$		−	21.5319i		−	1.35908i	0.733637	−	0.679542i	$-0.237821\pi$
$252$	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	0.977360	−	0.211583i	$-0.0678620\pi$
$257$	4.89663	+	8.48121i	0.305443	+	0.529043i	−0.671917	+	0.740627i	$0.734529\pi$
$258$	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	0.459860	+	0.887992i	$0.347900\pi$
$263$	−8.74263	+	15.1427i	−0.539094	+	0.933737i	−0.998953	+	0.0457458i	$0.985434\pi$
$264$	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	−0.391258	−	0.920281i	$-0.627960\pi$
$269$	9.86300	−	17.0832i	0.601358	−	1.04158i	0.992616	−	0.121301i	$-0.0387067\pi$
$270$	−13.9289	+	10.9821i	−0.847685	+	0.668348i
$271$	−2.58340	−	4.47458i	−0.156930	−	0.271811i	0.776830	−	0.629710i	$-0.216826\pi$
$271$	−2.58340	−	4.47458i	−0.156930	−	0.271811i	−0.933760	+	0.357899i	$0.883493\pi$
$272$	−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	−0.547810	−	0.836603i	$-0.684538\pi$
$277$	7.49971	−	12.9899i	0.450614	−	0.780486i	0.998424	+	0.0561162i	$0.0178717\pi$
$278$	−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	−0.986582	−	0.163266i	$-0.947797\pi$
$283$	−5.91985	+	10.2535i	−0.351899	+	0.609506i	0.634683	+	0.772772i	$0.281131\pi$
$284$	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	$-0.944568\pi$
$293$		−	5.93168i		−	0.346533i	0.984875	−	0.173266i	$-0.0554321\pi$
$294$	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	−0.341814	−	0.939768i	$-0.611041\pi$
$311$	11.3386	−	19.6391i	0.642955	−	1.11363i	0.984770	−	0.173864i	$-0.0556253\pi$
$312$	3.67281	+	3.09020i	0.207932	+	0.174948i
$313$	−10.2270	−	17.7137i	−0.578064	−	1.00124i	−0.995701	−	0.0926229i	$-0.970475\pi$
$313$	−10.2270	−	17.7137i	−0.578064	−	1.00124i	0.417637	−	0.908614i	$-0.362858\pi$
$314$	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	0.835224	−	0.549910i	$-0.185338\pi$
$317$	−1.04378	−	1.80788i	−0.0586245	−	0.101541i	−0.893848	+	0.448370i	$0.852005\pi$
$318$	−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	0.624714	−	0.780854i	$-0.285216\pi$
$331$	−6.62025	−	11.4666i	−0.363882	−	0.630262i	−0.988596	+	0.150591i	$0.951882\pi$
$332$	−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	$-0.884365\pi$
$337$		−	13.0464i		−	0.710681i	0.934737	−	0.355341i	$-0.115635\pi$
$338$	−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	−0.233113	−	0.972450i	$-0.574891\pi$
$347$	−22.2014	−	12.8180i	−1.19184	−	0.688107i	−0.958723	+	0.284343i	$0.908225\pi$
$348$	−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	−0.710173	−	0.704027i	$-0.751383\pi$
$353$	4.78385	−	8.28587i	0.254619	−	0.441012i	0.964792	+	0.263015i	$0.0847168\pi$
$354$	−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	−0.877838	−	0.478957i	$-0.841015\pi$
$359$	−17.0899	+	9.86683i	−0.901968	+	0.520752i	−0.0241299	+	0.999709i	$0.507682\pi$
$360$	−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	0.252785	−	0.967522i	$-0.418653\pi$
$367$	−8.78783	−	5.07365i	−0.458721	−	0.264843i	−0.711506	+	0.702680i	$0.751987\pi$
$368$	−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	0.519155	−	0.854680i	$-0.326247\pi$
$373$	−9.28187	−	16.0767i	−0.480597	−	0.832419i	−0.999752	+	0.0222614i	$0.992913\pi$
$374$	−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	0.0759355	−	0.997113i	$-0.475806\pi$
$383$	19.1286	−	11.0439i	0.977428	−	0.564318i	0.901493	+	0.432794i	$0.142472\pi$
$384$	−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	0.566830	−	0.823835i	$-0.308170\pi$
$389$	2.69778	+	1.55757i	0.136783	+	0.0789717i	−0.430047	+	0.902807i	$0.641503\pi$
$390$	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	−0.925941	−	0.377668i	$-0.876726\pi$
$397$	−21.1570	+	12.2150i	−1.06184	+	0.613054i	−0.135900	+	0.990723i	$0.543393\pi$
$398$	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	−0.988050	−	0.154133i	$-0.950742\pi$
$401$	−12.5658	−	21.7647i	−0.627508	−	1.08688i	0.360542	−	0.932743i	$-0.382592\pi$
$402$	−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	0.718939	−	0.695073i	$-0.244628\pi$
$409$	9.63575	+	5.56320i	0.476457	+	0.275083i	−0.242482	+	0.970156i	$0.577961\pi$
$410$	−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	$0.0315707\pi$
$419$			4.05377i			0.198040i	−0.995085	+	0.0990198i	$0.968429\pi$
$420$	−14.6911	−	4.82014i	−0.716854	−	0.235199i
$421$			22.4223i			1.09279i	0.837526	+	0.546397i	$0.184001\pi$
$421$			22.4223i			1.09279i	−0.837526	+	0.546397i	$0.815999\pi$
$422$	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	0.120921	−	0.992662i	$-0.461415\pi$
$431$	−14.0817	−	8.13005i	−0.678289	−	0.391611i	−0.799210	+	0.601052i	$0.794749\pi$
$432$	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	0.998696	+	0.0510514i	$0.0162572\pi$
$439$	11.3888	+	19.7261i	0.543560	+	0.941473i	−0.455136	+	0.890422i	$0.650409\pi$
$440$	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	−0.460316	−	0.887755i	$-0.652264\pi$
$443$	1.64896	−	0.952029i	0.0783446	−	0.0452323i	0.538661	+	0.842523i	$0.318931\pi$
$444$	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	−0.999999	−	0.00135206i	$-0.999570\pi$
$457$	−32.0413	+	18.4990i	−1.49883	+	0.865349i	−0.498829	+	0.866701i	$0.666236\pi$
$458$	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	−0.987200	−	0.159486i	$-0.949016\pi$
$467$	−13.6516	−	23.6452i	−0.631719	−	1.09417i	0.355481	−	0.934683i	$-0.384317\pi$
$468$	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	−0.992232	−	0.124403i	$-0.960298\pi$
$479$	−8.50010	+	14.7226i	−0.388379	+	0.672693i	0.603852	+	0.797096i	$0.293632\pi$
$480$	−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	0.0678912	−	0.997693i	$-0.478373\pi$
$487$	19.8165	−	34.3232i	0.897973	−	1.55533i	0.830082	−	0.557642i	$-0.188294\pi$
$488$	−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	0.857766	−	0.514040i	$-0.171852\pi$
$499$	−0.363871	−	0.630243i	−0.0162891	−	0.0282136i	−0.874055	+	0.485827i	$0.838519\pi$
$500$	−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	$-0.966513\pi$
$503$		−	4.71017i		−	0.210016i	0.994471	−	0.105008i	$-0.0334868\pi$
$504$	−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	0.948253	+	0.317516i	$0.102849\pi$
$509$	16.9005	+	29.2726i	0.749103	+	1.29749i	−0.199150	+	0.979969i	$0.563818\pi$
$510$	−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	0.473528	−	0.880779i	$-0.342980\pi$
$521$	−1.19800	−	0.691667i	−0.0524855	−	0.0303025i	−0.526013	+	0.850476i	$0.676314\pi$
$522$	−9.64999	+	4.84104i	−0.422368	+	0.211887i
$523$	10.5809	+	18.3267i	0.462671	+	0.801370i	0.999093	−	0.0425801i	$-0.0135578\pi$
$523$	10.5809	+	18.3267i	0.462671	+	0.801370i	−0.536422	+	0.843950i	$0.680224\pi$
$524$	−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	−0.543129	−	0.839649i	$-0.682761\pi$
$541$	−2.03605	+	1.17551i	−0.0875366	+	0.0505393i	0.455593	+	0.890188i	$0.349427\pi$
$542$	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	$-0.698378\pi$
$547$		−	37.9822i		−	1.62400i	0.583656	−	0.812001i	$-0.301622\pi$
$548$	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	−0.466106	−	0.884729i	$-0.654344\pi$
$557$	12.5827	−	21.7938i	0.533144	−	0.923433i	0.999251	−	0.0387043i	$-0.0123230\pi$
$558$	−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	0.230585	−	0.973052i	$-0.425936\pi$
$563$	22.7306	−	39.3705i	0.957980	−	1.65927i	0.727396	−	0.686218i	$-0.240731\pi$
$564$	−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	0.729861	−	0.683595i	$-0.239585\pi$
$569$	−5.41670	−	9.38201i	−0.227080	−	0.393314i	−0.956941	+	0.290281i	$0.906251\pi$
$570$	−1.63074	−	2.06831i	−0.0683041	−	0.0866320i
$571$	0.714547	−	1.23763i	0.0299029	−	0.0517933i	−0.850687	−	0.525673i	$-0.823814\pi$
$571$	0.714547	−	1.23763i	0.0299029	−	0.0517933i	0.880590	+	0.473880i	$0.157147\pi$
$572$	−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	−0.672442	−	0.740149i	$-0.734755\pi$
$577$	7.32076	−	12.6799i	0.304767	−	0.527872i	0.977209	+	0.212277i	$0.0680880\pi$
$578$	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	0.848459	−	0.529262i	$-0.177531\pi$
$593$	−0.830997	−	1.43933i	−0.0341249	−	0.0591061i	−0.882583	+	0.470156i	$0.844198\pi$
$594$	−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	0.980996	−	0.194029i	$-0.0621555\pi$
$599$	31.9015	+	18.4183i	1.30346	+	0.752553i	0.322464	+	0.946582i	$0.395489\pi$
$600$	12.6385	+	13.4829i	0.515964	+	0.550435i
$601$			36.8443i			1.50291i	0.659785	+	0.751455i	$0.270647\pi$
$601$			36.8443i			1.50291i	−0.659785	+	0.751455i	$0.729353\pi$
$602$	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	−0.799897	−	0.600137i	$-0.795113\pi$
$607$	−16.7562	+	9.67418i	−0.680112	+	0.392663i	0.119785	+	0.992800i	$0.461779\pi$
$608$	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	−0.968117	−	0.250497i	$-0.919406\pi$
$613$	−6.61363	+	11.4551i	−0.267122	+	0.462669i	0.700995	+	0.713166i	$0.252739\pi$
$614$	−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	$0.0782049\pi$
$617$			12.0831i			0.486448i	−0.969970	+	0.243224i	$0.921795\pi$
$618$	−0.825201	+	14.0607i	−0.0331944	+	0.565603i
$619$	−10.4861	−	6.05415i	−0.421472	−	0.243337i	0.274235	−	0.961663i	$-0.411575\pi$
$619$	−10.4861	−	6.05415i	−0.421472	−	0.243337i	−0.695707	+	0.718326i	$0.744909\pi$
$620$	−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	$-0.974722\pi$
$631$		−	3.98549i		−	0.158660i	0.996848	−	0.0793299i	$-0.0252780\pi$
$632$	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	−0.924260	−	0.381764i	$-0.875317\pi$
$641$	−3.32962	+	5.76707i	−0.131512	+	0.227786i	0.792748	+	0.609550i	$0.208650\pi$
$642$	−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	0.298750	−	0.954331i	$-0.403430\pi$
$647$	−9.62380	−	5.55631i	−0.378351	−	0.218441i	−0.677100	+	0.735891i	$0.736764\pi$
$648$	−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	0.683812	−	0.729658i	$-0.260321\pi$
$653$	−7.41053	−	12.8354i	−0.289997	−	0.502289i	−0.973809	+	0.227369i	$0.926988\pi$
$654$	−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	0.481577	+	0.876404i	$0.340064\pi$
$661$	−13.3229	+	23.0759i	−0.518199	+	0.897547i	−0.999776	+	0.0211434i	$0.993269\pi$
$662$	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	$0.248676\pi$
$673$			36.5349i			1.40832i	−0.710043	+	0.704158i	$0.751324\pi$
$674$	−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	−0.135915	−	0.990720i	$-0.543398\pi$
$677$	17.0196	−	9.82627i	0.654116	−	0.377654i	0.790031	+	0.613066i	$0.210064\pi$
$678$	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	0.388604	−	0.921405i	$-0.372957\pi$
$683$	−5.62027	−	3.24486i	−0.215054	−	0.124161i	−0.603658	+	0.797244i	$0.706291\pi$
$684$	−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	−0.756158	−	0.654390i	$-0.772926\pi$
$691$	−14.9183	+	8.61308i	−0.567518	+	0.327657i	0.188639	+	0.982046i	$0.439592\pi$
$692$	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	$-0.876405\pi$
$701$		−	20.0480i		−	0.757201i	0.925560	−	0.378600i	$-0.123595\pi$
$702$	−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	−0.221630	−	0.975131i	$-0.571138\pi$
$709$	13.6342	−	7.87172i	0.512044	−	0.295629i	0.733673	+	0.679502i	$0.237804\pi$
$710$	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	0.571115	−	0.820870i	$-0.306511\pi$
$719$	−11.4051	−	19.7541i	−0.425337	−	0.736705i	−0.996452	+	0.0841652i	$0.973178\pi$
$720$	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	$0.295679\pi$
$727$			43.1926i			1.60193i	−0.598714	+	0.800963i	$0.704321\pi$
$728$	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	−0.719756	−	0.694227i	$-0.755746\pi$
$733$	−12.9526	+	7.47818i	−0.478415	+	0.276213i	0.241341	+	0.970440i	$0.422413\pi$
$734$	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	−0.890161	−	0.455645i	$-0.849409\pi$
$739$	−1.37228	+	2.37687i	−0.0504803	+	0.0874344i	0.839681	+	0.543080i	$0.182742\pi$
$740$	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	0.205748	−	0.978605i	$-0.434037\pi$
$751$	31.6827	−	18.2920i	1.15612	−	0.667486i	0.950371	+	0.311119i	$0.100704\pi$
$752$	−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	−0.623001	−	0.782221i	$-0.714087\pi$
$761$	−7.09181	+	4.09446i	−0.257078	+	0.148424i	0.365923	+	0.930645i	$0.380753\pi$
$762$	−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	$-0.822934\pi$
$769$		−	29.2850i		−	1.05604i	0.849231	−	0.528021i	$-0.177066\pi$
$770$	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	0.737904	−	0.674905i	$-0.235815\pi$
$773$	14.5234	+	8.38511i	0.522372	+	0.301591i	−0.215533	+	0.976497i	$0.569149\pi$
$774$	−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	−0.863963	−	0.503556i	$-0.832025\pi$
$787$	0.115323	−	0.199746i	0.00411083	−	0.00712017i	0.868074	+	0.496436i	$0.165358\pi$
$788$	−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	$-0.849898\pi$
$797$		−	25.6496i		−	0.908554i	0.890860	−	0.454277i	$-0.150102\pi$
$798$	−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	−0.540491	−	0.841350i	$-0.681762\pi$
$809$	13.0378	−	22.5821i	0.458385	−	0.793946i	0.998876	+	0.0474041i	$0.0150948\pi$
$810$	1.56730	+	10.8046i	0.0550691	+	0.379635i
$811$			16.3763i			0.575051i	0.957773	+	0.287525i	$0.0928325\pi$
$811$			16.3763i			0.575051i	−0.957773	+	0.287525i	$0.907167\pi$
$812$	−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	0.250150	−	0.968207i	$-0.419520\pi$
$821$	34.7768	−	20.0784i	1.21372	−	0.700740i	0.963567	+	0.267467i	$0.0861866\pi$
$822$	−27.1399	+	13.6151i	−0.946614	+	0.474882i
$823$	27.4665	−	47.5734i	0.957422	−	1.65830i	0.228697	−	0.973498i	$-0.426553\pi$
$823$	27.4665	−	47.5734i	0.957422	−	1.65830i	0.728725	−	0.684806i	$-0.240113\pi$
$824$	−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	$0.217513\pi$
$827$			36.3142i			1.26277i	−0.775471	+	0.631384i	$0.782487\pi$
$828$	4.68565	−	6.28227i	0.162837	−	0.218324i
$829$	−2.57148	+	4.45393i	−0.0893111	+	0.154691i	−0.907220	−	0.420656i	$-0.861800\pi$
$829$	−2.57148	+	4.45393i	−0.0893111	+	0.154691i	0.817909	+	0.575348i	$0.195133\pi$
$830$	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	$0.0105387\pi$
$853$			1.93358i			0.0662045i	−0.999452	+	0.0331023i	$0.989461\pi$
$854$	−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	−0.739212	−	0.673473i	$-0.764802\pi$
$857$	6.25417	−	10.8325i	0.213638	−	0.370032i	0.952850	+	0.303440i	$0.0981353\pi$
$858$	0.723645	−	0.363026i	0.0247048	−	0.0123935i
$859$	10.9495	−	6.32172i	0.373594	−	0.215694i	−0.301434	−	0.953487i	$-0.597465\pi$
$859$	10.9495	−	6.32172i	0.373594	−	0.215694i	0.675027	+	0.737793i	$0.264132\pi$
$860$	−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	0.937411	+	0.348224i	$0.113215\pi$
$863$	22.6283	+	39.1934i	0.770276	+	1.33416i	−0.167135	+	0.985934i	$0.553452\pi$
$864$	−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	−0.962257	−	0.272142i	$-0.912268\pi$
$877$	−21.2278	−	36.7676i	−0.716810	−	1.24155i	0.245447	−	0.969410i	$-0.421065\pi$
$878$	−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	$0.0680344\pi$
$881$			12.5917i			0.424225i	−0.977245	+	0.212113i	$0.931966\pi$
$882$	−4.26610	+	12.0620i	−0.143647	+	0.406148i
$883$			9.44218i			0.317755i	0.987298	+	0.158877i	$0.0507874\pi$
$883$			9.44218i			0.317755i	−0.987298	+	0.158877i	$0.949213\pi$
$884$	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	−0.389033	−	0.921224i	$-0.627191\pi$
$887$	6.38100	−	3.68407i	0.214253	−	0.123699i	0.603286	+	0.797525i	$0.293858\pi$
$888$	−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	−0.0670537	−	0.997749i	$-0.521360\pi$
$907$	−29.0520	−	16.7732i	−0.964657	−	0.556945i	−0.897603	+	0.440804i	$0.854693\pi$
$908$	−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	$0.308123\pi$
$911$			49.7262i			1.64750i	−0.566951	+	0.823751i	$0.691877\pi$
$912$	−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	−0.228842	−	0.973464i	$-0.573494\pi$
$919$	15.1509	−	8.74736i	0.499781	−	0.288549i	0.728623	+	0.684915i	$0.240161\pi$
$920$	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	−0.719209	−	0.694794i	$-0.755496\pi$
$929$	−14.5419	+	8.39576i	−0.477104	+	0.275456i	0.242105	+	0.970250i	$0.422162\pi$
$930$	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	−0.837566	−	0.546336i	$-0.816022\pi$
$941$	1.66745	−	2.88811i	0.0543573	−	0.0941495i	0.891924	+	0.452186i	$0.149356\pi$
$942$	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	−0.256039	−	0.966666i	$-0.582418\pi$
$947$	13.9434	−	8.05021i	0.453099	−	0.261597i	0.709138	+	0.705070i	$0.249084\pi$
$948$	−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	$-0.984157\pi$
$953$		−	3.07172i		−	0.0995026i	0.998762	−	0.0497513i	$-0.0158429\pi$
$954$	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	−0.956143	−	0.292901i	$-0.905379\pi$
$971$	−36.7871	+	21.2390i	−1.18055	+	0.681593i	−0.224412	+	0.974494i	$0.572046\pi$
$972$	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	0.575293	−	0.817947i	$-0.304888\pi$
$977$	4.83162	+	2.78954i	0.154577	+	0.0892452i	−0.420716	+	0.907192i	$0.638221\pi$
$978$	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	0.462535	−	0.886601i	$-0.346940\pi$
$983$	−2.32060	−	1.33980i	−0.0740156	−	0.0427329i	−0.536551	+	0.843868i	$0.680273\pi$
$984$	−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	0.504596	−	0.863356i	$-0.331641\pi$
$991$	0.289819	+	0.167327i	0.00920640	+	0.00531532i	−0.495390	+	0.868671i	$0.664975\pi$
$992$	−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	0.855623	−	0.517600i	$-0.173175\pi$
$997$	26.3710	+	15.2253i	0.835179	+	0.482191i	−0.0204437	+	0.999791i	$0.506508\pi$
$998$	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.59.1	yes	80
4.3	odd	2		1120.2.bq.b.1039.15		80
5.4	even	2	inner	280.2.ba.b.59.40	yes	80
7.5	odd	6	inner	280.2.ba.b.19.27	yes	80
8.3	odd	2	inner	280.2.ba.b.59.14	yes	80
8.5	even	2		1120.2.bq.b.1039.16		80
20.19	odd	2		1120.2.bq.b.1039.25		80
28.19	even	6		1120.2.bq.b.719.26		80
35.19	odd	6	inner	280.2.ba.b.19.14	yes	80
40.19	odd	2	inner	280.2.ba.b.59.27	yes	80
40.29	even	2		1120.2.bq.b.1039.26		80
56.5	odd	6		1120.2.bq.b.719.25		80
56.19	even	6	inner	280.2.ba.b.19.40	yes	80
140.19	even	6		1120.2.bq.b.719.16		80
280.19	even	6	inner	280.2.ba.b.19.1	✓	80
280.229	odd	6		1120.2.bq.b.719.15		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.ba.b.19.1	✓	80	280.19	even	6	inner
280.2.ba.b.19.14	yes	80	35.19	odd	6	inner
280.2.ba.b.19.27	yes	80	7.5	odd	6	inner
280.2.ba.b.19.40	yes	80	56.19	even	6	inner
280.2.ba.b.59.1	yes	80	1.1	even	1	trivial
280.2.ba.b.59.14	yes	80	8.3	odd	2	inner
280.2.ba.b.59.27	yes	80	40.19	odd	2	inner
280.2.ba.b.59.40	yes	80	5.4	even	2	inner
1120.2.bq.b.719.15		80	280.229	odd	6
1120.2.bq.b.719.16		80	140.19	even	6
1120.2.bq.b.719.25		80	56.5	odd	6
1120.2.bq.b.719.26		80	28.19	even	6
1120.2.bq.b.1039.15		80	4.3	odd	2
1120.2.bq.b.1039.16		80	8.5	even	2
1120.2.bq.b.1039.25		80	20.19	odd	2
1120.2.bq.b.1039.26		80	40.29	even	2

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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