LMFDB - Embedded newform 350.2.x.a.103.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [350,2,Mod(3,350)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(350, base_ring=CyclotomicField(60))

chi = DirichletCharacter(H, H._module([21, 10]))

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

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

chi := DirichletCharacter("350.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.x (of order $60$, degree $16$, 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:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$20$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			103.8
Character	$\chi$	$=$	350.103
Dual form			350.2.x.a.17.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.998630 - 0.0523360i) q^{2} +(0.771843 + 0.953147i) q^{3} +(0.994522 + 0.104528i) q^{4} +(-1.48055 - 1.67570i) q^{5} +(-0.720902 - 0.992236i) q^{6} +(-1.70227 + 2.02541i) q^{7} +(-0.987688 - 0.156434i) q^{8} +(0.310988 - 1.46308i) q^{9} +(1.39082 + 1.75089i) q^{10} +(5.07750 - 1.07926i) q^{11} +(0.667984 + 1.02861i) q^{12} +(5.81042 + 2.96056i) q^{13} +(1.80594 - 1.93354i) q^{14} +(0.454432 - 2.70456i) q^{15} +(0.978148 + 0.207912i) q^{16} +(1.97105 + 5.13476i) q^{17} +(-0.387133 + 1.44480i) q^{18} +(0.180426 + 1.71664i) q^{19} +(-1.29728 - 1.82128i) q^{20} +(-3.24440 - 0.0592173i) q^{21} +(-5.12702 + 0.812041i) q^{22} +(0.343491 - 6.55419i) q^{23} +(-0.613236 - 1.06216i) q^{24} +(-0.615928 + 4.96192i) q^{25} +(-5.64752 - 3.26060i) q^{26} +(4.91295 - 2.50327i) q^{27} +(-1.90466 + 1.83638i) q^{28} +(-3.54157 + 4.87455i) q^{29} +(-0.595355 + 2.67707i) q^{30} +(1.35866 - 3.05160i) q^{31} +(-0.965926 - 0.258819i) q^{32} +(4.94772 + 4.00659i) q^{33} +(-1.69962 - 5.23088i) q^{34} +(5.91427 - 0.146230i) q^{35} +(0.462218 - 1.42256i) q^{36} +(-4.42917 + 2.87634i) q^{37} +(-0.0903367 - 1.72373i) q^{38} +(1.66289 + 7.82328i) q^{39} +(1.20019 + 1.88668i) q^{40} +(3.17857 - 1.03278i) q^{41} +(3.23685 + 0.228935i) q^{42} +(1.35311 + 1.35311i) q^{43} +(5.16250 - 0.542600i) q^{44} +(-2.91212 + 1.64505i) q^{45} +(-0.686040 + 6.52723i) q^{46} +(-0.0484132 - 0.0185841i) q^{47} +(0.556806 + 1.09279i) q^{48} +(-1.20455 - 6.89558i) q^{49} +(0.874770 - 4.92288i) q^{50} +(-3.37284 + 5.84193i) q^{51} +(5.46913 + 3.55170i) q^{52} +(6.63589 - 5.37364i) q^{53} +(-5.03723 + 2.24272i) q^{54} +(-9.32601 - 6.91046i) q^{55} +(1.99816 - 1.73418i) q^{56} +(-1.49695 + 1.49695i) q^{57} +(3.79183 - 4.68252i) q^{58} +(6.04440 - 6.71299i) q^{59} +(0.734646 - 2.64224i) q^{60} +(-0.0213279 + 0.0192037i) q^{61} +(-1.51651 + 2.97631i) q^{62} +(2.43395 + 3.12044i) q^{63} +(0.951057 + 0.309017i) q^{64} +(-3.64164 - 14.1198i) q^{65} +(-4.73125 - 4.26004i) q^{66} +(-10.4164 + 3.99849i) q^{67} +(1.42352 + 5.31266i) q^{68} +(6.51223 - 4.73141i) q^{69} +(-5.91382 - 0.163499i) q^{70} +(-11.7493 - 8.53636i) q^{71} +(-0.536036 + 1.39642i) q^{72} +(-4.31938 + 6.65126i) q^{73} +(4.57364 - 2.64059i) q^{74} +(-5.20484 + 3.24275i) q^{75} +1.72609i q^{76} +(-6.45734 + 12.1212i) q^{77} +(-1.25117 - 7.89958i) q^{78} +(0.247855 + 0.556692i) q^{79} +(-1.09980 - 1.94690i) q^{80} +(2.07865 + 0.925476i) q^{81} +(-3.22826 + 0.865010i) q^{82} +(1.19525 - 7.54649i) q^{83} +(-3.22043 - 0.398025i) q^{84} +(5.68606 - 10.9052i) q^{85} +(-1.28044 - 1.42207i) q^{86} +(-7.37970 + 0.386754i) q^{87} +(-5.18382 + 0.271672i) q^{88} +(3.17348 + 3.52451i) q^{89} +(2.99422 - 1.49039i) q^{90} +(-15.8873 + 6.72880i) q^{91} +(1.02671 - 6.48238i) q^{92} +(3.95730 - 1.06036i) q^{93} +(0.0473742 + 0.0210924i) q^{94} +(2.60943 - 2.84391i) q^{95} +(-0.498851 - 1.12044i) q^{96} +(-0.395936 - 2.49984i) q^{97} +(0.842011 + 6.94917i) q^{98} -7.76444i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) $ 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{20}\right)$

Coefficient data

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

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

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

$2$	−0.998630	−	0.0523360i	−0.706138	−	0.0370071i
$2$	−0.998630	−	0.0523360i	−0.706138	−	0.0370071i
$3$	0.771843	+	0.953147i	0.445624	+	0.550300i	0.949619	−	0.313407i	$-0.101470\pi$
$3$	0.771843	+	0.953147i	0.445624	+	0.550300i	−0.503995	+	0.863707i	$0.668137\pi$
$4$	0.994522	+	0.104528i	0.497261	+	0.0522642i
$5$	−1.48055	−	1.67570i	−0.662123	−	0.749395i
$5$	−1.48055	−	1.67570i	−0.662123	−	0.749395i
$6$	−0.720902	−	0.992236i	−0.294307	−	0.405079i
$7$	−1.70227	+	2.02541i	−0.643398	+	0.765532i
$7$	−1.70227	+	2.02541i	−0.643398	+	0.765532i
$8$	−0.987688	−	0.156434i	−0.349201	−	0.0553079i
$9$	0.310988	−	1.46308i	0.103663	−	0.487694i
$10$	1.39082	+	1.75089i	0.439817	+	0.553679i
$11$	5.07750	−	1.07926i	1.53092	−	0.325408i	0.636022	−	0.771671i	$-0.280579\pi$
$11$	5.07750	−	1.07926i	1.53092	−	0.325408i	0.894902	+	0.446263i	$0.147246\pi$
$12$	0.667984	+	1.02861i	0.192830	+	0.296933i
$13$	5.81042	+	2.96056i	1.61152	+	0.821111i	0.999543	+	0.0302373i	$0.00962630\pi$
$13$	5.81042	+	2.96056i	1.61152	+	0.821111i	0.611979	+	0.790874i	$0.290374\pi$
$14$	1.80594	−	1.93354i	0.482658	−	0.516761i
$15$	0.454432	−	2.70456i	0.117334	−	0.698315i
$16$	0.978148	+	0.207912i	0.244537	+	0.0519779i
$17$	1.97105	+	5.13476i	0.478050	+	1.24536i	0.934612	+	0.355670i	$0.115747\pi$
$17$	1.97105	+	5.13476i	0.478050	+	1.24536i	−0.456562	+	0.889692i	$0.650919\pi$
$18$	−0.387133	+	1.44480i	−0.0912482	+	0.340543i
$19$	0.180426	+	1.71664i	0.0413925	+	0.393823i	0.995529	+	0.0944526i	$0.0301101\pi$
$19$	0.180426	+	1.71664i	0.0413925	+	0.393823i	−0.954137	+	0.299371i	$0.903223\pi$
$20$	−1.29728	−	1.82128i	−0.290081	−	0.407250i
$21$	−3.24440	−	0.0592173i	−0.707985	−	0.0129223i
$22$	−5.12702	+	0.812041i	−1.09309	+	0.173128i
$23$	0.343491	−	6.55419i	0.0716228	−	1.36664i	−0.692428	−	0.721487i	$-0.743459\pi$
$23$	0.343491	−	6.55419i	0.0716228	−	1.36664i	0.764050	−	0.645156i	$-0.223208\pi$
$24$	−0.613236	−	1.06216i	−0.125176	−	0.216811i
$25$	−0.615928	+	4.96192i	−0.123186	+	0.992384i
$26$	−5.64752	−	3.26060i	−1.10757	−	0.639455i
$27$	4.91295	−	2.50327i	0.945497	−	0.481755i
$28$	−1.90466	+	1.83638i	−0.359947	+	0.347042i
$29$	−3.54157	+	4.87455i	−0.657653	+	0.905181i	−0.999401	−	0.0346105i	$-0.988981\pi$
$29$	−3.54157	+	4.87455i	−0.657653	+	0.905181i	0.341748	+	0.939791i	$0.388981\pi$
$30$	−0.595355	+	2.67707i	−0.108696	+	0.488764i
$31$	1.35866	−	3.05160i	0.244023	−	0.548084i	−0.749462	−	0.662047i	$-0.769688\pi$
$31$	1.35866	−	3.05160i	0.244023	−	0.548084i	0.993485	+	0.113963i	$0.0363545\pi$
$32$	−0.965926	−	0.258819i	−0.170753	−	0.0457532i
$33$	4.94772	+	4.00659i	0.861288	+	0.697457i
$34$	−1.69962	−	5.23088i	−0.291482	−	0.897088i
$35$	5.91427	−	0.146230i	0.999694	−	0.0247175i
$36$	0.462218	−	1.42256i	0.0770363	−	0.237093i
$37$	−4.42917	+	2.87634i	−0.728152	+	0.472867i	−0.854719	−	0.519091i	$-0.826271\pi$
$37$	−4.42917	+	2.87634i	−0.728152	+	0.472867i	0.126567	+	0.991958i	$0.459604\pi$
$38$	−0.0903367	−	1.72373i	−0.0146545	−	0.279625i
$39$	1.66289	+	7.82328i	0.266275	+	1.25273i
$40$	1.20019	+	1.88668i	0.189766	+	0.298310i
$41$	3.17857	−	1.03278i	0.496409	−	0.161293i	−0.0501036	−	0.998744i	$-0.515955\pi$
$41$	3.17857	−	1.03278i	0.496409	−	0.161293i	0.546512	+	0.837451i	$0.315955\pi$
$42$	3.23685	+	0.228935i	0.499457	+	0.0353254i
$43$	1.35311	+	1.35311i	0.206347	+	0.206347i	0.802713	−	0.596366i	$-0.203389\pi$
$43$	1.35311	+	1.35311i	0.206347	+	0.206347i	−0.596366	+	0.802713i	$0.703389\pi$
$44$	5.16250	−	0.542600i	0.778276	−	0.0818001i
$45$	−2.91212	+	1.64505i	−0.434113	+	0.245229i
$46$	−0.686040	+	6.52723i	−0.101151	+	0.962388i
$47$	−0.0484132	−	0.0185841i	−0.00706179	−	0.00271077i	0.354834	−	0.934929i	$-0.384537\pi$
$47$	−0.0484132	−	0.0185841i	−0.00706179	−	0.00271077i	−0.361896	+	0.932218i	$0.617871\pi$
$48$	0.556806	+	1.09279i	0.0803681	+	0.157731i
$49$	−1.20455	−	6.89558i	−0.172078	−	0.985083i
$50$	0.874770	−	4.92288i	0.123711	−	0.696201i
$51$	−3.37284	+	5.84193i	−0.472292	+	0.818034i
$52$	5.46913	+	3.55170i	0.758432	+	0.492532i
$53$	6.63589	−	5.37364i	0.911509	−	0.738126i	−0.0539871	−	0.998542i	$-0.517193\pi$
$53$	6.63589	−	5.37364i	0.911509	−	0.738126i	0.965497	+	0.260416i	$0.0838597\pi$
$54$	−5.03723	+	2.24272i	−0.685480	+	0.305195i
$55$	−9.32601	−	6.91046i	−1.25752	−	0.931806i
$56$	1.99816	−	1.73418i	0.267015	−	0.231739i
$57$	−1.49695	+	1.49695i	−0.198275	+	0.198275i
$58$	3.79183	−	4.68252i	0.497891	−	0.614845i
$59$	6.04440	−	6.71299i	0.786914	−	0.873957i	−0.207637	−	0.978206i	$-0.566577\pi$
$59$	6.04440	−	6.71299i	0.786914	−	0.873957i	0.994551	+	0.104249i	$0.0332440\pi$
$60$	0.734646	−	2.64224i	0.0948424	−	0.341112i
$61$	−0.0213279	+	0.0192037i	−0.00273075	+	0.00245878i	−0.670495	−	0.741914i	$-0.733918\pi$
$61$	−0.0213279	+	0.0192037i	−0.00273075	+	0.00245878i	0.667764	+	0.744373i	$0.267251\pi$
$62$	−1.51651	+	2.97631i	−0.192597	+	0.377992i
$63$	2.43395	+	3.12044i	0.306649	+	0.393138i
$64$	0.951057	+	0.309017i	0.118882	+	0.0386271i
$65$	−3.64164	−	14.1198i	−0.451689	−	1.75134i
$66$	−4.73125	−	4.26004i	−0.582377	−	0.524375i
$67$	−10.4164	+	3.99849i	−1.27257	+	0.488493i	−0.898527	−	0.438918i	$-0.855362\pi$
$67$	−10.4164	+	3.99849i	−1.27257	+	0.488493i	−0.374042	+	0.927412i	$0.622028\pi$
$68$	1.42352	+	5.31266i	0.172628	+	0.644255i
$69$	6.51223	−	4.73141i	0.783980	−	0.569595i
$70$	−5.91382	−	0.163499i	−0.706837	−	0.0195419i
$71$	−11.7493	−	8.53636i	−1.39438	−	1.01308i	−0.995368	−	0.0961351i	$-0.969352\pi$
$71$	−11.7493	−	8.53636i	−1.39438	−	1.01308i	−0.399016	−	0.916944i	$-0.630648\pi$
$72$	−0.536036	+	1.39642i	−0.0631724	+	0.164570i
$73$	−4.31938	+	6.65126i	−0.505545	+	0.778471i	−0.995648	−	0.0931932i	$-0.970293\pi$
$73$	−4.31938	+	6.65126i	−0.505545	+	0.778471i	0.490103	+	0.871665i	$0.336959\pi$
$74$	4.57364	−	2.64059i	0.531675	−	0.306963i
$75$	−5.20484	+	3.24275i	−0.601003	+	0.374441i
$76$			1.72609i			0.197996i
$77$	−6.45734	+	12.1212i	−0.735883	+	1.38134i
$78$	−1.25117	−	7.89958i	−0.141667	−	0.894452i
$79$	0.247855	+	0.556692i	0.0278859	+	0.0626327i	0.926951	−	0.375181i	$-0.122420\pi$
$79$	0.247855	+	0.556692i	0.0278859	+	0.0626327i	−0.899066	+	0.437814i	$0.855753\pi$
$80$	−1.09980	−	1.94690i	−0.122962	−	0.217671i
$81$	2.07865	+	0.925476i	0.230961	+	0.102831i
$82$	−3.22826	+	0.865010i	−0.356502	+	0.0955244i
$83$	1.19525	−	7.54649i	0.131195	−	0.828335i	−0.831059	−	0.556184i	$-0.812265\pi$
$83$	1.19525	−	7.54649i	0.131195	−	0.828335i	0.962255	−	0.272151i	$-0.0877350\pi$
$84$	−3.22043	−	0.398025i	−0.351378	−	0.0434281i
$85$	5.68606	−	10.9052i	0.616740	−	1.18283i
$86$	−1.28044	−	1.42207i	−0.138073	−	0.153346i
$87$	−7.37970	+	0.386754i	−0.791187	+	0.0414643i
$88$	−5.18382	+	0.271672i	−0.552597	+	0.0289604i
$89$	3.17348	+	3.52451i	0.336388	+	0.373597i	0.887479	−	0.460848i	$-0.152455\pi$
$89$	3.17348	+	3.52451i	0.336388	+	0.373597i	−0.551091	+	0.834445i	$0.685788\pi$
$90$	2.99422	−	1.49039i	0.315619	−	0.157101i
$91$	−15.8873	+	6.72880i	−1.66544	+	0.705370i
$92$	1.02671	−	6.48238i	0.107042	−	0.675835i
$93$	3.95730	−	1.06036i	0.410353	−	0.109954i
$94$	0.0473742	+	0.0210924i	0.00488628	+	0.00217551i
$95$	2.60943	−	2.84391i	0.267722	−	0.291779i
$96$	−0.498851	−	1.12044i	−0.0509137	−	0.114354i
$97$	−0.395936	−	2.49984i	−0.0402012	−	0.253820i	0.959400	−	0.282048i	$-0.0910137\pi$
$97$	−0.395936	−	2.49984i	−0.0402012	−	0.253820i	−0.999602	+	0.0282276i	$0.991014\pi$
$98$	0.842011	+	6.94917i	0.0850560	+	0.701973i
$99$		−	7.76444i		−	0.780355i
$100$	−1.13122	+	4.87035i	−0.113122	+	0.487035i
$101$	−11.6554	+	6.72924i	−1.15975	+	0.669585i	−0.951245	−	0.308436i	$-0.900195\pi$
$101$	−11.6554	+	6.72924i	−1.15975	+	0.669585i	−0.208510	+	0.978020i	$0.566861\pi$
$102$	3.67396	−	5.65740i	0.363776	−	0.560166i
$103$	−1.44439	+	3.76276i	−0.142320	+	0.370756i	−0.986150	−	0.165854i	$-0.946962\pi$
$103$	−1.44439	+	3.76276i	−0.142320	+	0.370756i	0.843831	+	0.536610i	$0.180295\pi$
$104$	−5.27575	−	3.83306i	−0.517330	−	0.375862i
$105$	4.70427	+	5.52430i	0.459090	+	0.539117i
$106$	−6.90803	+	5.01898i	−0.670967	+	0.487486i
$107$	1.83004	+	6.82981i	0.176917	+	0.660263i	0.996217	+	0.0868981i	$0.0276955\pi$
$107$	1.83004	+	6.82981i	0.176917	+	0.660263i	−0.819300	+	0.573365i	$0.805638\pi$
$108$	5.14770	−	1.97602i	0.495337	−	0.190142i
$109$	−2.44106	−	2.19794i	−0.233811	−	0.210525i	0.543894	−	0.839154i	$-0.316950\pi$
$109$	−2.44106	−	2.19794i	−0.233811	−	0.210525i	−0.777705	+	0.628630i	$0.783616\pi$
$110$	8.95156	+	7.38907i	0.853498	+	0.704521i
$111$	−6.16020	−	2.00157i	−0.584701	−	0.189981i
$112$	−2.08618	+	1.62723i	−0.197125	+	0.153758i
$113$	−6.94368	+	13.6277i	−0.653207	+	1.28199i	0.292281	+	0.956333i	$0.405586\pi$
$113$	−6.94368	+	13.6277i	−0.653207	+	1.28199i	−0.945488	+	0.325658i	$0.894414\pi$
$114$	1.57324	−	1.41655i	0.147347	−	0.132672i
$115$	−11.4914	+	9.12824i	−1.07158	+	0.851213i
$116$	−4.03170	+	4.47765i	−0.374334	+	0.415739i
$117$	6.13851	−	7.58043i	0.567506	−	0.700811i
$118$	−6.38745	+	6.38745i	−0.588012	+	0.588012i
$119$	−13.7552	−	4.74857i	−1.26094	−	0.435301i
$120$	−0.871924	+	2.60017i	−0.0795954	+	0.237362i
$121$	14.5672	−	6.48574i	1.32429	−	0.589612i
$122$	0.0223037	−	0.0180612i	0.00201928	−	0.00163518i
$123$	3.43775	+	2.23250i	0.309971	+	0.201298i
$124$	1.67020	−	2.89287i	0.149988	−	0.259787i
$125$	9.22659	−	6.31427i	0.825251	−	0.564766i
$126$	−2.26731	−	3.24355i	−0.201988	−	0.288958i
$127$	−3.96107	−	7.77403i	−0.351488	−	0.689834i	0.645794	−	0.763511i	$-0.276526\pi$
$127$	−3.96107	−	7.77403i	−0.351488	−	0.689834i	−0.997282	+	0.0736779i	$0.976526\pi$
$128$	−0.933580	−	0.358368i	−0.0825176	−	0.0316756i
$129$	−0.245324	+	2.33410i	−0.0215995	+	0.205506i
$130$	2.89767	+	14.2910i	0.254143	+	1.25341i
$131$	8.73380	−	0.917959i	0.763075	−	0.0802024i	0.285007	−	0.958525i	$-0.408004\pi$
$131$	8.73380	−	0.917959i	0.763075	−	0.0802024i	0.478068	+	0.878323i	$0.341337\pi$
$132$	4.50182	+	4.50182i	0.391833	+	0.391833i
$133$	−3.78402	−	2.55674i	−0.328116	−	0.221698i
$134$	10.6114	−	3.44786i	0.916687	−	0.297850i
$135$	−11.4686	−	4.52639i	−0.987060	−	0.389570i
$136$	−1.14353	−	5.37988i	−0.0980568	−	0.461321i
$137$	−0.634526	−	12.1075i	−0.0542112	−	1.03441i	−0.881365	−	0.472436i	$-0.843375\pi$
$137$	−0.634526	−	12.1075i	−0.0542112	−	1.03441i	0.827154	−	0.561976i	$-0.189959\pi$
$138$	−6.75093	+	4.38410i	−0.574677	+	0.373200i
$139$	0.308910	−	0.950726i	0.0262014	−	0.0806395i	−0.937101	−	0.349059i	$-0.886501\pi$
$139$	0.308910	−	0.950726i	0.0262014	−	0.0806395i	0.963302	+	0.268419i	$0.0865013\pi$
$140$	5.89716	+	0.472780i	0.498401	+	0.0399572i
$141$	−0.0196540	−	0.0604889i	−0.00165517	−	0.00509408i
$142$	11.2864	+	9.13957i	0.947136	+	0.766976i
$143$	32.6976	+	8.76130i	2.73431	+	0.732657i
$144$	0.608384	−	1.36645i	0.0506987	−	0.113871i
$145$	13.4117	−	1.28243i	1.11379	−	0.106500i
$146$	4.66156	−	6.41609i	0.385794	−	0.530999i
$147$	5.64278	−	6.47042i	0.465409	−	0.533671i
$148$	−4.70557	+	2.39761i	−0.386795	+	0.197082i
$149$	0.386099	+	0.222915i	0.0316305	+	0.0182619i	0.515732	−	0.856750i	$-0.327520\pi$
$149$	0.386099	+	0.222915i	0.0316305	+	0.0182619i	−0.484101	+	0.875012i	$0.660853\pi$
$150$	5.36742	−	2.96591i	0.438248	−	0.242165i
$151$	−0.589415	−	1.02090i	−0.0479659	−	0.0830794i	0.841046	−	0.540964i	$-0.181941\pi$
$151$	−0.589415	−	1.02090i	−0.0479659	−	0.0830794i	−0.889012	+	0.457885i	$0.848607\pi$
$152$	0.0903367	−	1.72373i	0.00732727	−	0.139813i
$153$	8.12555	−	1.28696i	0.656912	−	0.104045i
$154$	7.08287	−	11.7666i	0.570754	−	0.948182i
$155$	−7.12513	+	2.24135i	−0.572305	+	0.180030i
$156$	0.836024	+	7.95424i	0.0669355	+	0.636849i
$157$	1.76735	−	6.59584i	0.141050	−	0.526405i	−0.858850	−	0.512228i	$-0.828820\pi$
$157$	1.76735	−	6.59584i	0.141050	−	0.526405i	0.999899	−	0.0141774i	$-0.00451295\pi$
$158$	−0.218380	−	0.568900i	−0.0173734	−	0.0452593i
$159$	10.2437	+	2.17737i	0.812381	+	0.172677i
$160$	0.996401	+	2.00180i	0.0787725	+	0.158256i
$161$	12.6902	+	11.8527i	1.00013	+	0.934125i
$162$	−2.02737	−	1.03300i	−0.159285	−	0.0811598i
$163$	−5.00816	−	7.71189i	−0.392269	−	0.604042i	0.586267	−	0.810118i	$-0.300597\pi$
$163$	−5.00816	−	7.71189i	−0.392269	−	0.604042i	−0.978536	+	0.206077i	$0.933930\pi$
$164$	3.26911	−	0.694871i	0.255275	−	0.0542603i
$165$	−0.611534	−	14.2229i	−0.0476079	−	1.10725i
$166$	−1.58856	+	7.47360i	−0.123296	+	0.580063i
$167$	−11.3486	−	1.79744i	−0.878181	−	0.139090i	−0.298965	−	0.954264i	$-0.596641\pi$
$167$	−11.3486	−	1.79744i	−0.878181	−	0.139090i	−0.579216	+	0.815174i	$0.696641\pi$
$168$	3.19519	+	0.566024i	0.246514	+	0.0436697i
$169$	17.3549	+	23.8870i	1.33499	+	1.83746i
$170$	−6.24900	+	10.5926i	−0.479277	+	0.812418i
$171$	2.56769	+	0.269875i	0.196356	+	0.0206379i
$172$	1.20426	+	1.48713i	0.0918238	+	0.113393i
$173$	−24.4340	−	1.28053i	−1.85768	−	0.0973570i	−0.909620	−	0.415442i	$-0.863627\pi$
$173$	−24.4340	−	1.28053i	−1.85768	−	0.0973570i	−0.948062	+	0.318085i	$0.896960\pi$
$174$	7.38982			0.560221
$175$	−9.00143	−	9.69403i	−0.680444	−	0.732800i
$176$	5.19093			0.391281
$177$	11.0638	+	0.579829i	0.831606	+	0.0435826i
$178$	−2.98467	−	3.68577i	−0.223711	−	0.276260i
$179$	−12.1876	−	1.28097i	−0.910947	−	0.0957444i	−0.362552	−	0.931964i	$-0.618094\pi$
$179$	−12.1876	−	1.28097i	−0.910947	−	0.0957444i	−0.548395	+	0.836219i	$0.684761\pi$
$180$	−3.06812	+	1.33164i	−0.228684	+	0.0992545i
$181$	5.17536	+	7.12328i	0.384682	+	0.529469i	0.956817	−	0.290690i	$-0.0938849\pi$
$181$	5.17536	+	7.12328i	0.384682	+	0.529469i	−0.572136	+	0.820159i	$0.693885\pi$
$182$	16.2176	−	5.88811i	1.20213	−	0.436455i
$183$	−0.0347657	−	0.00550635i	−0.00256995	−	0.000407041i
$184$	−1.36456	+	6.41977i	−0.100597	+	0.473271i
$185$	11.3775	+	3.16339i	0.836491	+	0.232577i
$186$	−4.00737	+	0.851793i	−0.293835	+	0.0624565i
$187$	15.5497	+	23.9445i	1.13711	+	1.75099i
$188$	−0.0462054	−	0.0235428i	−0.00336988	−	0.00171704i
$189$	−3.29302	+	14.2120i	−0.239532	+	1.03377i
$190$	−2.75470	+	2.70344i	−0.199847	+	0.196128i
$191$	14.7216	+	3.12918i	1.06522	+	0.226419i	0.706997	−	0.707217i	$-0.250049\pi$
$191$	14.7216	+	3.12918i	1.06522	+	0.226419i	0.358223	+	0.933636i	$0.383383\pi$
$192$	0.439528	+	1.14501i	0.0317202	+	0.0826339i
$193$	−0.682634	+	2.54762i	−0.0491370	+	0.183382i	−0.986133	−	0.165959i	$-0.946928\pi$
$193$	−0.682634	+	2.54762i	−0.0491370	+	0.183382i	0.936996	+	0.349341i	$0.113595\pi$
$194$	0.264562	+	2.51713i	0.0189944	+	0.180720i
$195$	10.6475	−	14.3693i	0.762480	−	1.02900i
$196$	−0.477166	−	6.98372i	−0.0340833	−	0.498837i
$197$	−18.6113	+	2.94774i	−1.32600	+	0.210017i	−0.778951	−	0.627084i	$-0.784248\pi$
$197$	−18.6113	+	2.94774i	−1.32600	+	0.210017i	−0.547047	+	0.837102i	$0.684248\pi$
$198$	−0.406359	+	7.75380i	−0.0288787	+	0.551038i
$199$	4.60081	+	7.96884i	0.326143	+	0.564896i	0.981743	−	0.190212i	$-0.0609176\pi$
$199$	4.60081	+	7.96884i	0.326143	+	0.564896i	−0.655600	+	0.755108i	$0.727584\pi$
$200$	1.38456	−	4.80448i	0.0979032	−	0.339728i
$201$	−11.8510	−	6.84218i	−0.835905	−	0.482610i
$202$	11.9916	−	6.11002i	0.843726	−	0.429900i
$203$	−3.84424	−	15.4709i	−0.269813	−	1.08585i
$204$	−3.96501	+	5.45737i	−0.277606	+	0.382092i
$205$	−6.43666	−	3.79723i	−0.449556	−	0.265210i
$206$	1.63934	−	3.68201i	0.114218	−	0.256538i
$207$	−9.48251	−	2.54083i	−0.659080	−	0.176600i
$208$	5.06792	+	4.10392i	0.351397	+	0.284556i
$209$	2.76880	+	8.52149i	0.191522	+	0.589444i
$210$	−4.40870	−	5.76294i	−0.304229	−	0.397680i
$211$	2.02826	−	6.24235i	0.139631	−	0.429741i	−0.856650	−	0.515898i	$-0.827458\pi$
$211$	2.02826	−	6.24235i	0.139631	−	0.429741i	0.996282	+	0.0861564i	$0.0274585\pi$
$212$	7.16123	−	4.65056i	0.491836	−	0.319402i
$213$	−0.932205	−	17.7875i	−0.0638736	−	1.21878i
$214$	−1.47009	−	6.91623i	−0.100493	−	0.472784i
$215$	0.264053	−	4.27075i	0.0180083	−	0.291263i
$216$	−5.24406	+	1.70390i	−0.356813	+	0.115936i
$217$	3.86793	+	7.94650i	0.262572	+	0.539443i
$218$	2.32268	+	2.32268i	0.157312	+	0.157312i
$219$	−9.67352	+	1.01673i	−0.653676	+	0.0687041i
$220$	−8.55258	−	7.84744i	−0.576615	−	0.529074i
$221$	−3.74912	+	35.6705i	−0.252193	+	2.39946i
$222$	6.04701	+	2.32123i	0.405848	+	0.155791i
$223$	11.5903	+	22.7472i	0.776144	+	1.52327i	0.850464	+	0.526033i	$0.176321\pi$
$223$	11.5903	+	22.7472i	0.776144	+	1.52327i	−0.0743205	+	0.997234i	$0.523679\pi$
$224$	2.16848	−	1.51581i	0.144888	−	0.101280i
$225$	7.06815	+	2.44425i	0.471210	+	0.162950i
$226$	7.64739	−	13.2457i	0.508697	−	0.881089i
$227$	−20.4307	−	13.2679i	−1.35604	−	0.880619i	−0.357457	−	0.933930i	$-0.616356\pi$
$227$	−20.4307	−	13.2679i	−1.35604	−	0.880619i	−0.998578	+	0.0533102i	$0.983023\pi$
$228$	−1.64522	+	1.33227i	−0.108957	+	0.0882319i
$229$	−2.55773	+	1.13877i	−0.169019	+	0.0752523i	−0.489502	−	0.872002i	$-0.662822\pi$
$229$	−2.55773	+	1.13877i	−0.169019	+	0.0752523i	0.320483	+	0.947254i	$0.396155\pi$
$230$	11.9534	−	8.51432i	0.788183	−	0.561417i
$231$	−16.5373	+	3.20086i	−1.08808	+	0.210601i
$232$	4.26051	−	4.26051i	0.279716	−	0.279716i
$233$	−6.68328	+	8.25316i	−0.437836	+	0.540683i	−0.947527	−	0.319675i	$-0.896426\pi$
$233$	−6.68328	+	8.25316i	−0.437836	+	0.540683i	0.509691	+	0.860357i	$0.329760\pi$
$234$	−6.52683	+	7.24878i	−0.426672	+	0.473868i
$235$	0.0405370	+	0.108641i	0.00264434	+	0.00708693i
$236$	6.71299	−	6.04440i	0.436978	−	0.393457i
$237$	−0.339304	+	0.665921i	−0.0220401	+	0.0432562i
$238$	13.4879	+	5.46196i	0.874288	+	0.354046i
$239$	−20.4163	−	6.63365i	−1.32062	−	0.429095i	−0.437911	−	0.899018i	$-0.644282\pi$
$239$	−20.4163	−	6.63365i	−1.32062	−	0.429095i	−0.882707	+	0.469923i	$0.844282\pi$
$240$	1.00681	−	2.55098i	0.0649894	−	0.164665i
$241$	3.22961	+	2.90795i	0.208037	+	0.187318i	0.766562	−	0.642170i	$-0.221966\pi$
$241$	3.22961	+	2.90795i	0.208037	+	0.187318i	−0.558525	+	0.829488i	$0.688632\pi$
$242$	−14.8867	+	5.71446i	−0.956952	+	0.367339i
$243$	−3.55905	−	13.2826i	−0.228313	−	0.852077i
$244$	−0.0232183	+	0.0168691i	−0.00148640	+	0.00107993i
$245$	−9.77152	+	12.2277i	−0.624279	+	0.781201i
$246$	−3.31619	−	2.40936i	−0.211433	−	0.153615i
$247$	−4.03385	+	10.5085i	−0.256668	+	0.668643i
$248$	−1.81931	+	2.80149i	−0.115526	+	0.177895i
$249$	8.11546	−	4.68546i	0.514296	−	0.296929i
$250$	−9.54441	+	5.82274i	−0.603641	+	0.368262i
$251$		−	1.55927i		−	0.0984201i	−0.998788	−	0.0492101i	$-0.984330\pi$
$251$		−	1.55927i		−	0.0984201i	0.998788	−	0.0492101i	$-0.0156704\pi$
$252$	2.09444	+	3.35776i	0.131938	+	0.211519i
$253$	−5.32958	−	33.6496i	−0.335068	−	2.11553i
$254$	3.54878	+	7.97068i	0.222670	+	0.500125i
$255$	14.7830	−	2.99742i	0.925746	−	0.187706i
$256$	0.913545	+	0.406737i	0.0570966	+	0.0254210i
$257$	17.8831	−	4.79177i	1.11552	−	0.298902i	0.346450	−	0.938068i	$-0.387387\pi$
$257$	17.8831	−	4.79177i	1.11552	−	0.298902i	0.769069	+	0.639166i	$0.220720\pi$
$258$	0.367145	−	2.31806i	0.0228574	−	0.144316i
$259$	1.71389	−	13.8672i	0.106496	−	0.861665i
$260$	−2.14577	−	14.4231i	−0.133075	−	0.894482i
$261$	6.03048	+	6.69753i	0.373278	+	0.414567i
$262$	−8.76987	+	0.459609i	−0.541804	+	0.0283948i
$263$	−8.76836	+	0.459530i	−0.540680	+	0.0283358i	−0.320722	−	0.947173i	$-0.603925\pi$
$263$	−8.76836	+	0.459530i	−0.540680	+	0.0283358i	−0.219958	+	0.975509i	$0.570592\pi$
$264$	−4.26004	−	4.73125i	−0.262187	−	0.291188i
$265$	−18.8294	−	3.16379i	−1.15668	−	0.194350i
$266$	3.64502	+	2.75128i	0.223491	+	0.168692i
$267$	−0.909944	+	5.74516i	−0.0556877	+	0.351598i
$268$	−10.7773	+	2.88777i	−0.658330	+	0.176399i
$269$	22.1852	+	9.87747i	1.35265	+	0.602240i	0.949752	−	0.313003i	$-0.101335\pi$
$269$	22.1852	+	9.87747i	1.35265	+	0.602240i	0.402901	+	0.915243i	$0.368002\pi$
$270$	11.2160	+	5.12041i	0.682584	+	0.311618i
$271$	−1.10374	−	2.47904i	−0.0670475	−	0.150591i	0.876913	−	0.480648i	$-0.159599\pi$
$271$	−1.10374	−	2.47904i	−0.0670475	−	0.150591i	−0.943961	+	0.330057i	$0.892932\pi$
$272$	0.860401	+	5.43236i	0.0521695	+	0.329385i
$273$	−18.6760	−	9.94931i	−1.13032	−	0.602159i
$274$			12.1241i			0.732443i
$275$	2.22781	+	25.8589i	0.134342	+	1.55935i
$276$	6.97112	−	4.02478i	0.419612	−	0.242263i
$277$	12.6310	−	19.4500i	0.758922	−	1.16864i	−0.222153	−	0.975012i	$-0.571308\pi$
$277$	12.6310	−	19.4500i	0.758922	−	1.16864i	0.981075	−	0.193626i	$-0.0620249\pi$
$278$	−0.358244	+	0.933256i	−0.0214860	+	0.0559730i
$279$	−4.04222	−	2.93684i	−0.242001	−	0.175824i
$280$	−5.86433	−	0.780766i	−0.350461	−	0.0466597i
$281$	18.4498	−	13.4046i	1.10062	−	0.799649i	0.119461	−	0.992839i	$-0.461883\pi$
$281$	18.4498	−	13.4046i	1.10062	−	0.799649i	0.981161	+	0.193190i	$0.0618835\pi$
$282$	0.0164613	+	0.0614346i	0.000980259	+	0.00365838i
$283$	16.4168	−	6.30183i	0.975879	−	0.374605i	0.182414	−	0.983222i	$-0.441609\pi$
$283$	16.4168	−	6.30183i	0.975879	−	0.374605i	0.793464	+	0.608617i	$0.208275\pi$
$284$	−10.7926	−	9.71773i	−0.640425	−	0.576641i
$285$	4.72474	+	0.292122i	0.279869	+	0.0173038i
$286$	−32.1943	−	10.4606i	−1.90369	−	0.618546i
$287$	−3.31898	+	8.19596i	−0.195913	+	0.483792i
$288$	−0.679065	+	1.33274i	−0.0400143	+	0.0785324i
$289$	−9.84725	+	8.86650i	−0.579250	+	0.521559i
$290$	−13.4605	+	0.578755i	−0.790427	+	0.0339857i
$291$	2.07711	−	2.30687i	0.121763	−	0.135231i
$292$	−4.99096	+	6.16333i	−0.292074	+	0.360681i
$293$	−6.23520	+	6.23520i	−0.364264	+	0.364264i	−0.865380	−	0.501116i	$-0.832923\pi$
$293$	−6.23520	+	6.23520i	−0.364264	+	0.364264i	0.501116	+	0.865380i	$0.332923\pi$
$294$	−5.97368	+	6.16623i	−0.348392	+	0.359622i
$295$	−20.1980	−	0.189660i	−1.17597	−	0.0110424i
$296$	4.82460	−	2.14805i	0.280424	−	0.124853i
$297$	22.2438	−	18.0127i	1.29072	−	1.04520i
$298$	−0.373904	−	0.242816i	−0.0216597	−	0.0140659i
$299$	21.3999	−	37.0657i	1.23759	−	2.14357i
$300$	−5.51528	+	2.68094i	−0.318425	+	0.154784i
$301$	−5.04395	+	0.437239i	−0.290729	+	0.0252020i
$302$	0.535177	+	1.05034i	0.0307960	+	0.0604406i
$303$	−15.4101	−	5.91538i	−0.885287	−	0.339830i
$304$	−0.180426	+	1.71664i	−0.0103481	+	0.0984558i
$305$	0.0637566	+	0.00730698i	0.00365069	+	0.000418396i
$306$	−8.18177	+	0.859938i	−0.467721	+	0.0491594i
$307$	8.98433	+	8.98433i	0.512763	+	0.512763i	0.915372	−	0.402609i	$-0.131897\pi$
$307$	8.98433	+	8.98433i	0.512763	+	0.512763i	−0.402609	+	0.915372i	$0.631897\pi$
$308$	−7.68898	+	11.3798i	−0.438120	+	0.648425i
$309$	−4.70130	+	1.52755i	−0.267448	+	0.0868991i
$310$	7.23267	−	1.86538i	0.410788	−	0.105946i
$311$	5.63818	+	26.5255i	0.319712	+	1.50413i	0.785295	+	0.619122i	$0.212511\pi$
$311$	5.63818	+	26.5255i	0.319712	+	1.50413i	−0.465583	+	0.885004i	$0.654155\pi$
$312$	−0.418586	−	7.98709i	−0.0236978	−	0.452180i
$313$	−1.01329	+	0.658035i	−0.0572743	+	0.0371944i	−0.572959	−	0.819584i	$-0.694204\pi$
$313$	−1.01329	+	0.658035i	−0.0572743	+	0.0371944i	0.515684	+	0.856779i	$0.327538\pi$
$314$	−2.11013	+	6.49430i	−0.119081	+	0.366495i
$315$	1.62532	−	8.69855i	0.0915764	−	0.490108i
$316$	0.188307	+	0.579550i	0.0105931	+	0.0326022i
$317$	−16.0621	−	13.0069i	−0.902140	−	0.730539i	0.0613970	−	0.998113i	$-0.480444\pi$
$317$	−16.0621	−	13.0069i	−0.902140	−	0.730539i	−0.963537	+	0.267575i	$0.913778\pi$
$318$	−10.1157	−	2.71050i	−0.567262	−	0.151998i
$319$	−12.7214	+	28.5728i	−0.712263	+	1.59977i
$320$	−0.890270	−	2.05120i	−0.0497676	−	0.114666i
$321$	−5.09731	+	7.01584i	−0.284504	+	0.391586i
$322$	−12.0525	−	12.5006i	−0.671659	−	0.696633i
$323$	−8.45888	+	4.31002i	−0.470665	+	0.239816i
$324$	1.97053	+	1.13768i	0.109474	+	0.0632047i
$325$	−18.2689	+	27.0074i	−1.01337	+	1.49810i
$326$	4.59769	+	7.96343i	0.254642	+	0.441053i
$327$	0.210845	−	4.02316i	0.0116597	−	0.222481i
$328$	−3.30100	+	0.522826i	−0.182267	+	0.0288683i
$329$	0.120053	−	0.0664213i	0.00661872	−	0.00366192i
$330$	−0.133670	+	14.2354i	−0.00735831	+	0.783631i
$331$	−3.31210	−	31.5125i	−0.182049	−	1.73209i	−0.579946	−	0.814655i	$-0.696926\pi$
$331$	−3.31210	−	31.5125i	−0.182049	−	1.73209i	0.397897	−	0.917430i	$-0.369740\pi$
$332$	1.97752	−	7.38021i	0.108531	−	0.405042i
$333$	2.83090	+	7.37475i	0.155133	+	0.404134i
$334$	11.2390	+	2.38892i	0.614969	+	0.130716i
$335$	22.1223	+	11.5348i	1.20867	+	0.630214i
$336$	−3.16119	−	0.732471i	−0.172457	−	0.0399596i
$337$	22.1530	+	11.2875i	1.20675	+	0.614871i	0.937428	−	0.348178i	$-0.113200\pi$
$337$	22.1530	+	11.2875i	1.20675	+	0.614871i	0.269325	+	0.963049i	$0.413200\pi$
$338$	−16.0810	−	24.7625i	−0.874690	−	1.34690i
$339$	−18.3487	+	3.90013i	−0.996564	+	0.211826i
$340$	6.79481	−	10.2511i	0.368501	−	0.555942i
$341$	3.60514	−	16.9609i	0.195229	−	0.918482i
$342$	−2.55005	−	0.403888i	−0.137891	−	0.0218398i
$343$	16.0168	+	9.29845i	0.864828	+	0.502069i
$344$	−1.12478	−	1.54812i	−0.0606439	−	0.0834692i
$345$	−17.5701	−	3.90743i	−0.945943	−	0.210369i
$346$	24.3335	+	2.55755i	1.30818	+	0.137495i
$347$	−10.1216	−	12.4991i	−0.543355	−	0.670988i	0.429322	−	0.903152i	$-0.358753\pi$
$347$	−10.1216	−	12.4991i	−0.543355	−	0.670988i	−0.972677	+	0.232164i	$0.925419\pi$
$348$	−7.37970	−	0.386754i	−0.395593	−	0.0207322i
$349$	−19.3446			−1.03549			−0.517747	−	0.855534i	$-0.673229\pi$
$349$	−19.3446			−1.03549			−0.517747	+	0.855534i	$0.673229\pi$
$350$	8.48175	+	10.1518i	0.453368	+	0.542639i
$351$	35.9574			1.91926
$352$	−5.18382	−	0.271672i	−0.276298	−	0.0144802i
$353$	−21.2947	−	26.2968i	−1.13341	−	1.39964i	−0.904650	−	0.426155i	$-0.859868\pi$
$353$	−21.2947	−	26.2968i	−1.13341	−	1.39964i	−0.228755	−	0.973484i	$-0.573465\pi$
$354$	−11.0183	−	1.15807i	−0.585615	−	0.0615506i
$355$	3.09108	+	32.3268i	0.164058	+	1.71573i
$356$	2.78769	+	3.83692i	0.147747	+	0.203356i
$357$	−6.09080	−	16.7759i	−0.322359	−	0.887876i
$358$	12.1039	+	1.91707i	0.639711	+	0.101320i
$359$	3.95127	−	18.5892i	0.208540	−	0.981103i	−0.741976	−	0.670427i	$-0.766111\pi$
$359$	3.95127	−	18.5892i	0.208540	−	0.981103i	0.950516	−	0.310676i	$-0.100556\pi$
$360$	3.13361	−	1.16924i	0.165156	−	0.0616244i
$361$	15.6705	−	3.33087i	0.824764	−	0.175309i
$362$	−4.79547	−	7.38437i	−0.252044	−	0.388114i
$363$	17.4255	+	8.87871i	0.914599	+	0.466012i
$364$	−16.5036	+	5.03127i	−0.865022	+	0.263710i
$365$	17.5406	−	2.60957i	0.918116	−	0.136591i
$366$	0.0344299	+	0.00731829i	0.00179968	+	0.000382533i
$367$	−2.84215	−	7.40406i	−0.148359	−	0.386489i	0.839182	−	0.543851i	$-0.183034\pi$
$367$	−2.84215	−	7.40406i	−0.148359	−	0.386489i	−0.987541	+	0.157362i	$0.949701\pi$
$368$	1.69868	−	6.33955i	0.0885497	−	0.330472i
$369$	−0.522545	−	4.97169i	−0.0272026	−	0.258816i
$370$	−11.1964	−	3.75450i	−0.582071	−	0.195187i
$371$	−0.412276	+	22.5878i	−0.0214043	+	1.17270i
$372$	4.04646	−	0.640896i	0.209799	−	0.0332289i
$373$	1.38152	−	26.3610i	0.0715326	−	1.36492i	−0.693279	−	0.720669i	$-0.743835\pi$
$373$	1.38152	−	26.3610i	0.0715326	−	1.36492i	0.764812	−	0.644254i	$-0.222832\pi$
$374$	−14.2752	−	24.7255i	−0.738156	−	1.27852i
$375$	13.1399	+	3.92067i	0.678542	+	0.202462i
$376$	0.0449099	+	0.0259288i	0.00231605	+	0.00133717i
$377$	−35.0094	+	17.8382i	−1.80308	+	0.918713i
$378$	4.03231	−	14.0201i	0.207399	−	0.721118i
$379$	−7.45404	+	10.2596i	−0.382889	+	0.527001i	−0.956347	−	0.292234i	$-0.905601\pi$
$379$	−7.45404	+	10.2596i	−0.382889	+	0.527001i	0.573458	+	0.819235i	$0.305601\pi$
$380$	2.89241	−	2.55557i	0.148377	−	0.131098i
$381$	4.35247	−	9.77581i	0.222984	−	0.500830i
$382$	−14.5377	−	3.89536i	−0.743813	−	0.199304i
$383$	2.88187	+	2.33369i	0.147257	+	0.119246i	0.700118	−	0.714027i	$-0.253131\pi$
$383$	2.88187	+	2.33369i	0.147257	+	0.119246i	−0.552861	+	0.833273i	$0.686464\pi$
$384$	−0.379000	−	1.16644i	−0.0193408	−	0.0595248i
$385$	29.8719	−	7.12550i	1.52241	−	0.363149i
$386$	0.815030	−	2.50841i	0.0414840	−	0.127674i
$387$	2.40051	−	1.55891i	0.122025	−	0.0792438i
$388$	−0.132462	−	2.52753i	−0.00672475	−	0.128316i
$389$	−1.05297	−	4.95383i	−0.0533876	−	0.251169i	0.943358	−	0.331775i	$-0.107648\pi$
$389$	−1.05297	−	4.95383i	−0.0533876	−	0.251169i	−0.996746	+	0.0806064i	$0.974314\pi$
$390$	−11.3849	+	13.7923i	−0.576496	+	0.698402i
$391$	34.3312	−	11.1549i	1.73621	−	0.564127i
$392$	0.111012	+	6.99912i	0.00560697	+	0.353509i
$393$	7.61607	+	7.61607i	0.384180	+	0.384180i
$394$	18.7400	−	1.96966i	0.944109	−	0.0992299i
$395$	0.565885	−	1.23954i	0.0284727	−	0.0623681i
$396$	0.811605	−	7.72190i	0.0407847	−	0.388040i
$397$	−4.52730	−	1.73787i	−0.227219	−	0.0872211i	0.242095	−	0.970253i	$-0.422165\pi$
$397$	−4.52730	−	1.73787i	−0.227219	−	0.0872211i	−0.469314	+	0.883031i	$0.655499\pi$
$398$	−4.17745	−	8.19870i	−0.209397	−	0.410964i
$399$	−0.483718	−	5.58013i	−0.0242162	−	0.279356i
$400$	−1.63411	+	4.72543i	−0.0817055	+	0.236271i
$401$	0.746594	−	1.29314i	0.0372831	−	0.0645763i	−0.846782	−	0.531941i	$-0.821463\pi$
$401$	0.746594	−	1.29314i	0.0372831	−	0.0645763i	0.884065	+	0.467364i	$0.154796\pi$
$402$	11.4767	+	7.45303i	0.572404	+	0.371723i
$403$	16.9288	−	13.7087i	0.843286	−	0.682880i
$404$	−12.2949	+	5.47406i	−0.611696	+	0.272345i
$405$	−1.52674	−	4.85341i	−0.0758642	−	0.241168i
$406$	3.02929	+	15.6509i	0.150341	+	0.776741i
$407$	−19.3848	+	19.3848i	−0.960870	+	0.960870i
$408$	4.24519	−	5.24238i	0.210168	−	0.259536i
$409$	−22.1399	+	24.5888i	−1.09475	+	1.21584i	−0.119940	+	0.992781i	$0.538270\pi$
$409$	−22.1399	+	24.5888i	−1.09475	+	1.21584i	−0.974805	+	0.223057i	$0.928396\pi$
$410$	6.22911	+	4.12890i	0.307634	+	0.203912i
$411$	11.0504	−	9.94987i	0.545078	−	0.490791i
$412$	−1.82979	+	3.59117i	−0.0901474	+	0.176924i
$413$	3.30733	+	23.6697i	0.162743	+	1.16471i
$414$	9.33653	+	3.03362i	0.458866	+	0.149094i
$415$	−14.4153	+	9.17011i	−0.707618	+	0.450143i
$416$	−4.84619	−	4.36353i	−0.237604	−	0.213940i
$417$	1.14461	−	0.439375i	0.0560519	−	0.0215163i
$418$	−2.31903	−	8.65472i	−0.113427	−	0.423316i
$419$	2.34075	−	1.70065i	0.114353	−	0.0830824i	−0.529139	−	0.848535i	$-0.677485\pi$
$419$	2.34075	−	1.70065i	0.114353	−	0.0830824i	0.643492	+	0.765453i	$0.277485\pi$
$420$	4.10105	+	5.98577i	0.200111	+	0.292076i
$421$	−3.77490	−	2.74262i	−0.183977	−	0.133667i	0.491985	−	0.870604i	$-0.336272\pi$
$421$	−3.77490	−	2.74262i	−0.183977	−	0.133667i	−0.675962	+	0.736937i	$0.736272\pi$
$422$	−2.35218	+	6.12765i	−0.114503	+	0.298289i
$423$	−0.0422460	+	0.0650531i	−0.00205407	+	0.00316299i
$424$	−7.39481	+	4.26940i	−0.359124	+	0.207340i
$425$	−26.6923	+	6.61754i	−1.29477	+	0.320998i
$426$			17.8119i			0.862991i
$427$	−0.00258951	−	0.0758875i	−0.000125315	−	0.00367245i
$428$	1.10611	+	6.98369i	0.0534657	+	0.337569i
$429$	16.8866	+	37.9280i	0.815294	+	1.83118i
$430$	−0.487205	+	4.25108i	−0.0234951	+	0.205005i
$431$	−5.71356	−	2.54384i	−0.275212	−	0.122532i	0.264490	−	0.964388i	$-0.414796\pi$
$431$	−5.71356	−	2.54384i	−0.275212	−	0.122532i	−0.539702	+	0.841856i	$0.681463\pi$
$432$	5.32605	−	1.42711i	0.256250	−	0.0686619i
$433$	−3.91261	+	24.7032i	−0.188028	+	1.18716i	0.695410	+	0.718613i	$0.255223\pi$
$433$	−3.91261	+	24.7032i	−0.188028	+	1.18716i	−0.883438	+	0.468548i	$0.844777\pi$
$434$	−3.44674	−	8.13804i	−0.165449	−	0.390638i
$435$	11.5741	+	11.7935i	0.554936	+	0.565457i
$436$	−2.19794	−	2.44106i	−0.105262	−	0.116906i
$437$	11.3131	−	0.592896i	0.541181	−	0.0283621i
$438$	9.71347	−	0.509061i	0.464128	−	0.0243239i
$439$	−1.68639	−	1.87292i	−0.0804869	−	0.0893897i	0.701556	−	0.712614i	$-0.252489\pi$
$439$	−1.68639	−	1.87292i	−0.0804869	−	0.0893897i	−0.782043	+	0.623224i	$0.785822\pi$
$440$	8.13016	+	8.28429i	0.387590	+	0.394938i
$441$	−10.4634	−	0.382087i	−0.498258	−	0.0181946i
$442$	5.61084	−	35.4254i	0.266880	−	1.68502i
$443$	−9.10787	+	2.44045i	−0.432728	+	0.115949i	−0.468606	−	0.883407i	$-0.655244\pi$
$443$	−9.10787	+	2.44045i	−0.432728	+	0.115949i	0.0358785	+	0.999356i	$0.488577\pi$
$444$	−5.91723	−	2.63452i	−0.280820	−	0.125029i
$445$	1.20751	−	10.5360i	0.0572412	−	0.499455i
$446$	−10.3839	−	23.3227i	−0.491693	−	1.10436i
$447$	0.0855378	+	0.540064i	0.00404580	+	0.0255442i
$448$	−2.24484	+	1.40025i	−0.106059	+	0.0661554i
$449$			20.0383i			0.945667i	0.881152	+	0.472834i	$0.156769\pi$
$449$			20.0383i			0.945667i	−0.881152	+	0.472834i	$0.843231\pi$
$450$	−6.93054	−	2.81082i	−0.326709	−	0.132503i
$451$	15.0245	−	8.67442i	0.707478	−	0.408462i
$452$	−8.33013	+	12.8273i	−0.391817	+	0.603345i
$453$	0.518128	−	1.34977i	0.0243438	−	0.0634178i
$454$	19.7083	+	14.3189i	0.924958	+	0.672022i
$455$	34.7974	+	16.6599i	1.63133	+	0.781028i
$456$	1.71269	−	1.24434i	0.0802041	−	0.0582717i
$457$	−5.20644	−	19.4307i	−0.243547	−	0.908929i	−0.974108	−	0.226082i	$-0.927408\pi$
$457$	−5.20644	−	19.4307i	−0.243547	−	0.908929i	0.730561	−	0.682847i	$-0.239258\pi$
$458$	2.61382	−	1.00335i	0.122136	−	0.0468836i
$459$	22.5374	+	20.2927i	1.05195	+	0.947183i
$460$	−12.3826	+	7.87706i	−0.577342	+	0.367270i
$461$	−16.3429	−	5.31014i	−0.761165	−	0.247318i	−0.0973867	−	0.995247i	$-0.531048\pi$
$461$	−16.3429	−	5.31014i	−0.761165	−	0.247318i	−0.663779	+	0.747929i	$0.731048\pi$
$462$	16.6822	−	2.33097i	0.776126	−	0.108447i
$463$	11.3391	−	22.2542i	0.526972	−	1.03424i	−0.462103	−	0.886826i	$-0.652905\pi$
$463$	11.3391	−	22.2542i	0.526972	−	1.03424i	0.989075	−	0.147415i	$-0.0470951\pi$
$464$	−4.47765	+	4.03170i	−0.207870	+	0.187167i
$465$	−7.63583	−	5.06133i	−0.354103	−	0.234713i
$466$	7.10606	−	7.89208i	0.329182	−	0.365593i
$467$	11.1174	−	13.7289i	0.514452	−	0.635296i	−0.452038	−	0.891999i	$-0.649303\pi$
$467$	11.1174	−	13.7289i	0.514452	−	0.635296i	0.966490	+	0.256703i	$0.0826362\pi$
$468$	6.89726	−	6.89726i	0.318826	−	0.318826i
$469$	9.63300	−	27.9040i	0.444811	−	1.28849i
$470$	−0.0347956	−	0.110613i	−0.00160500	−	0.00510221i
$471$	7.65092	−	3.40641i	0.352536	−	0.156959i
$472$	−7.02013	+	5.68479i	−0.323128	+	0.261664i
$473$	8.33076	+	5.41006i	0.383049	+	0.248755i
$474$	0.373690	−	0.647251i	0.0171642	−	0.0297292i
$475$	−8.62894	−	0.162066i	−0.395923	−	0.00743610i
$476$	−13.1835	−	6.16037i	−0.604266	−	0.282360i
$477$	−5.79839	−	11.3800i	−0.265490	−	0.521054i
$478$	20.0411	+	7.69306i	0.916659	+	0.351872i
$479$	−0.288626	+	2.74609i	−0.0131877	+	0.125472i	−0.999135	−	0.0415842i	$-0.986760\pi$
$479$	−0.288626	+	2.74609i	−0.0131877	+	0.125472i	0.985947	+	0.167056i	$0.0534262\pi$
$480$	−1.13894	+	2.49479i	−0.0519852	+	0.113871i
$481$	−34.2510	+	3.59992i	−1.56171	+	0.164142i
$482$	−3.07299	−	3.07299i	−0.139971	−	0.139971i
$483$	−1.50254	+	21.2441i	−0.0683680	+	0.966638i
$484$	15.1653	−	4.92752i	0.689334	−	0.223978i
$485$	−3.60277	+	4.36461i	−0.163593	+	0.198187i
$486$	2.85902	+	13.4506i	0.129688	+	0.610133i
$487$	−0.414120	−	7.90188i	−0.0187656	−	0.358068i	−0.991833	−	0.127546i	$-0.959290\pi$
$487$	−0.414120	−	7.90188i	−0.0187656	−	0.358068i	0.973067	−	0.230522i	$-0.0740434\pi$
$488$	0.0240694	−	0.0156308i	0.00108957	−	0.000707575i
$489$	3.48505	−	10.7259i	0.157599	−	0.485041i
$490$	10.3981	−	11.6996i	0.469737	−	0.528533i
$491$	9.43788	+	29.0468i	0.425926	+	1.31086i	0.902105	+	0.431516i	$0.142021\pi$
$491$	9.43788	+	29.0468i	0.425926	+	1.31086i	−0.476180	+	0.879348i	$0.657979\pi$
$492$	3.18555	+	2.57961i	0.143616	+	0.116298i
$493$	−32.0102	−	8.57712i	−1.44167	−	0.386294i
$494$	4.57830	−	10.2830i	0.205987	−	0.462655i
$495$	−13.0109	+	11.4957i	−0.584794	+	0.516691i
$496$	1.96343	−	2.70244i	0.0881608	−	0.121343i
$497$	37.2901	−	9.26590i	1.67269	−	0.415633i
$498$	−8.34956	+	4.25431i	−0.374153	+	0.190640i
$499$	0.806362	+	0.465553i	0.0360977	+	0.0208410i	0.517940	−	0.855417i	$-0.326699\pi$
$499$	0.806362	+	0.465553i	0.0360977	+	0.0208410i	−0.481843	+	0.876258i	$0.660032\pi$
$500$	9.83607	−	5.31524i	0.439882	−	0.237705i
$501$	−7.04611	−	12.2042i	−0.314797	−	0.545245i
$502$	−0.0816058	+	1.55713i	−0.00364224	+	0.0694982i
$503$	−22.0461	+	3.49176i	−0.982988	+	0.155690i	−0.627184	−	0.778871i	$-0.715793\pi$
$503$	−22.0461	+	3.49176i	−0.982988	+	0.155690i	−0.355803	+	0.934561i	$0.615793\pi$
$504$	−1.91584	−	3.46278i	−0.0853384	−	0.154244i
$505$	28.5326	+	9.56792i	1.26968	+	0.425767i
$506$	3.56119	+	33.8824i	0.158314	+	1.50626i
$507$	−9.37254	+	34.9788i	−0.416249	+	1.55346i
$508$	−3.12676	−	8.14549i	−0.138728	−	0.361398i
$509$	−11.3149	−	2.40505i	−0.501523	−	0.106602i	−0.0497983	−	0.998759i	$-0.515858\pi$
$509$	−11.3149	−	2.40505i	−0.501523	−	0.106602i	−0.451725	+	0.892157i	$0.649191\pi$
$510$	−14.9196	+	2.21963i	−0.660650	+	0.0982870i
$511$	−6.11876	−	20.0708i	−0.270678	−	0.887878i
$512$	−0.891007	−	0.453990i	−0.0393773	−	0.0200637i
$513$	5.18363	+	7.98209i	0.228863	+	0.352418i
$514$	−18.1094	+	3.84927i	−0.798772	+	0.169784i
$515$	8.44374	−	3.15061i	0.372076	−	0.138832i
$516$	−0.487960	+	2.29567i	−0.0214812	+	0.101061i
$517$	−0.265875	−	0.0421104i	−0.0116932	−	0.00185201i
$518$	−2.43730	+	13.7585i	−0.107089	+	0.604513i
$519$	−17.6387	−	24.2776i	−0.774252	−	1.06567i
$520$	1.38798	+	14.5156i	0.0608670	+	0.636552i
$521$	−23.2249	−	2.44103i	−1.01750	−	0.106944i	−0.418934	−	0.908017i	$-0.637596\pi$
$521$	−23.2249	−	2.44103i	−1.01750	−	0.106944i	−0.598566	+	0.801073i	$0.704263\pi$
$522$	−5.67170	−	7.00396i	−0.248243	−	0.306555i
$523$	−28.1646	−	1.47604i	−1.23155	−	0.0645428i	−0.574573	−	0.818453i	$-0.694832\pi$
$523$	−28.1646	−	1.47604i	−1.23155	−	0.0645428i	−0.656977	+	0.753910i	$0.728165\pi$
$524$	8.78190			0.383639
$525$	2.29215	−	16.0620i	0.100037	−	0.701001i
$526$	8.78039			0.382843
$527$	18.3472	+	0.961538i	0.799218	+	0.0418852i
$528$	4.00659	+	4.94772i	0.174364	+	0.215322i
$529$	−19.9655	−	2.09845i	−0.868063	−	0.0912371i
$530$	18.6380	+	4.14491i	0.809583	+	0.180043i
$531$	−7.94192	−	10.9311i	−0.344650	−	0.474370i
$532$	−3.49604	−	2.93828i	−0.151572	−	0.127390i
$533$	21.5264	+	3.40945i	0.932413	+	0.147680i
$534$	1.20938	−	5.68967i	0.0523348	−	0.246216i
$535$	8.73523	−	13.1785i	0.377657	−	0.569756i
$536$	10.9137	−	2.31977i	0.471399	−	0.100199i
$537$	−8.18600	−	12.6053i	−0.353252	−	0.543960i
$538$	−21.6378	−	11.0250i	−0.932872	−	0.475322i
$539$	−13.5582	−	33.7123i	−0.583993	−	1.45209i
$540$	−10.9326	−	5.70039i	−0.470466	−	0.245306i
$541$	16.5252	+	3.51255i	0.710475	+	0.151016i	0.548953	−	0.835853i	$-0.315026\pi$
$541$	16.5252	+	3.51255i	0.710475	+	0.151016i	0.161522	+	0.986869i	$0.448360\pi$
$542$	0.972485	+	2.53341i	0.0417718	+	0.108819i
$543$	−2.79496	+	10.4309i	−0.119943	+	0.447634i
$544$	−0.574914	−	5.46994i	−0.0246492	−	0.234522i
$545$	−0.0689664	+	7.34465i	−0.00295420	+	0.314610i
$546$	18.1297	+	10.9131i	0.775880	+	0.467037i
$547$	−9.63498	+	1.52603i	−0.411962	+	0.0652484i	−0.358976	−	0.933347i	$-0.616874\pi$
$547$	−9.63498	+	1.52603i	−0.411962	+	0.0652484i	−0.0529862	+	0.998595i	$0.516874\pi$
$548$	0.634526	−	12.1075i	0.0271056	−	0.517206i
$549$	0.0214639	+	0.0371765i	0.000916056	+	0.00158666i
$550$	−0.871404	−	25.9400i	−0.0371568	−	1.10609i
$551$	−9.00682	−	5.20009i	−0.383703	−	0.221531i
$552$	−7.17221	+	3.65442i	−0.305270	+	0.155543i
$553$	−1.54944	−	0.445632i	−0.0658890	−	0.0189502i
$554$	−13.6316	+	18.7623i	−0.579152	+	0.797134i
$555$	5.76648	+	13.2861i	0.244773	+	0.563962i
$556$	0.406595	−	0.913228i	0.0172435	−	0.0387295i
$557$	18.4463	+	4.94267i	0.781595	+	0.209428i	0.627488	−	0.778626i	$-0.284083\pi$
$557$	18.4463	+	4.94267i	0.781595	+	0.209428i	0.154107	+	0.988054i	$0.450750\pi$
$558$	3.88298	+	3.14437i	0.164380	+	0.133112i
$559$	3.85618	+	11.8681i	0.163099	+	0.501967i
$560$	5.81543	+	1.08661i	0.245747	+	0.0459177i
$561$	−10.8207	+	33.3025i	−0.456848	+	1.40603i
$562$	−19.1260	+	12.4206i	−0.806783	+	0.523931i
$563$	0.457947	+	8.73814i	0.0193001	+	0.368269i	0.991157	+	0.132696i	$0.0423633\pi$
$563$	0.457947	+	8.73814i	0.0193001	+	0.368269i	−0.971857	+	0.235573i	$0.924303\pi$
$564$	−0.0132236	−	0.0622119i	−0.000556812	−	0.00261959i
$565$	33.1165	−	8.54108i	1.39322	−	0.359326i
$566$	−16.7241	+	5.43400i	−0.702968	+	0.228408i
$567$	−5.41290	+	2.63471i	−0.227320	+	0.110647i
$568$	10.2693	+	10.2693i	0.430888	+	0.430888i
$569$	14.2014	−	1.49263i	0.595353	−	0.0625742i	0.197940	−	0.980214i	$-0.436575\pi$
$569$	14.2014	−	1.49263i	0.595353	−	0.0625742i	0.397413	+	0.917640i	$0.369908\pi$
$570$	−4.70297	−	0.538995i	−0.196986	−	0.0225760i
$571$	1.19173	−	11.3385i	0.0498722	−	0.474503i	−0.940872	−	0.338762i	$-0.889992\pi$
$571$	1.19173	−	11.3385i	0.0498722	−	0.474503i	0.990744	−	0.135741i	$-0.0433414\pi$
$572$	31.6027	+	12.1311i	1.32138	+	0.507228i
$573$	8.38022	+	16.4471i	0.350089	+	0.687088i
$574$	3.74338	−	8.01103i	0.156246	−	0.334374i
$575$	32.3098	+	5.74128i	1.34741	+	0.239428i
$576$	0.747884	−	1.29537i	0.0311619	−	0.0539739i
$577$	13.8984	+	9.02570i	0.578596	+	0.375745i	0.800508	−	0.599322i	$-0.204563\pi$
$577$	13.8984	+	9.02570i	0.578596	+	0.375745i	−0.221912	+	0.975067i	$0.571230\pi$
$578$	10.2978	−	8.33899i	0.428332	−	0.346856i
$579$	−2.95515	+	1.31572i	−0.122812	+	0.0546793i
$580$	13.4723	+	0.126505i	0.559408	+	0.00525285i
$581$	13.2501	+	15.2670i	0.549706	+	0.633383i
$582$	−2.19500	+	2.19500i	−0.0909857	+	0.0909857i
$583$	27.8942	−	34.4465i	1.15526	−	1.42663i
$584$	5.30669	−	5.89367i	0.219592	−	0.243882i
$585$	−21.7909	+	0.936935i	−0.900943	+	0.0387375i
$586$	6.55298	−	5.90033i	0.270701	−	0.243740i
$587$	10.9800	−	21.5495i	0.453194	−	0.889444i	−0.545488	−	0.838119i	$-0.683656\pi$
$587$	10.9800	−	21.5495i	0.453194	−	0.889444i	0.998682	−	0.0513252i	$-0.0163445\pi$
$588$	6.28821	−	5.84514i	0.259322	−	0.241050i
$589$	5.48363	+	1.78174i	0.225949	+	0.0734153i
$590$	20.1604	+	1.24648i	0.829990	+	0.0513168i
$591$	−17.1746	−	15.4641i	−0.706469	−	0.636108i
$592$	−4.93041	+	1.89261i	−0.202639	+	0.0777857i
$593$	0.0249121	+	0.0929734i	0.00102302	+	0.00381796i	0.966435	−	0.256910i	$-0.0827043\pi$
$593$	0.0249121	+	0.0929734i	0.00102302	+	0.00381796i	−0.965412	+	0.260728i	$0.916038\pi$
$594$	−23.1560	+	16.8238i	−0.950104	+	0.690291i
$595$	12.4082	+	30.0801i	0.508686	+	1.23317i
$596$	0.360683	+	0.262052i	0.0147742	+	0.0107341i
$597$	−4.04437	+	10.5359i	−0.165525	+	0.431207i
$598$	−23.3104	+	35.8949i	−0.953235	+	1.46785i
$599$	−15.5923	+	9.00223i	−0.637085	+	0.367821i	−0.783491	−	0.621404i	$-0.786563\pi$
$599$	−15.5923	+	9.00223i	−0.637085	+	0.367821i	0.146406	+	0.989225i	$0.453229\pi$
$600$	5.64804	−	2.38861i	0.230580	−	0.0975147i
$601$			17.2878i			0.705185i	0.935777	+	0.352593i	$0.114700\pi$
$601$			17.2878i			0.705185i	−0.935777	+	0.352593i	$0.885300\pi$
$602$	5.05992	−	0.172660i	0.206227	−	0.00703708i
$603$	2.61074	+	16.4836i	0.106318	+	0.671263i
$604$	−0.479473	−	1.07691i	−0.0195095	−	0.0438190i
$605$	−32.4356	−	14.8078i	−1.31870	−	0.602021i
$606$	15.0794	+	6.71378i	0.612558	+	0.272728i
$607$	30.2505	−	8.10560i	1.22783	−	0.328996i	0.414096	−	0.910233i	$-0.364098\pi$
$607$	30.2505	−	8.10560i	1.22783	−	0.328996i	0.813735	+	0.581237i	$0.197431\pi$
$608$	0.270020	−	1.70484i	0.0109508	−	0.0691404i
$609$	11.7789	−	15.6052i	0.477305	−	0.632357i
$610$	−0.0632868	−	0.0106337i	−0.00256241	−	0.000430547i
$611$	−0.226282	−	0.251311i	−0.00915438	−	0.0101670i
$612$	8.21556	−	0.430559i	0.332094	−	0.0174043i
$613$	36.3877	−	1.90700i	1.46968	−	0.0770229i	0.699403	−	0.714727i	$-0.253449\pi$
$613$	36.3877	−	1.90700i	1.46968	−	0.0770229i	0.770281	+	0.637704i	$0.220116\pi$
$614$	−8.50181	−	9.44222i	−0.343105	−	0.381057i
$615$	−1.34877	−	9.06595i	−0.0543877	−	0.365575i
$616$	8.27402	−	10.9618i	0.333370	−	0.441664i
$617$	−3.17746	+	20.0617i	−0.127920	+	0.807652i	0.837402	+	0.546588i	$0.184074\pi$
$617$	−3.17746	+	20.0617i	−0.127920	+	0.807652i	−0.965321	+	0.261065i	$0.915926\pi$
$618$	4.77481	−	1.27941i	0.192071	−	0.0514653i
$619$	−1.50932	−	0.671994i	−0.0606648	−	0.0270097i	0.376180	−	0.926547i	$-0.377237\pi$
$619$	−1.50932	−	0.671994i	−0.0606648	−	0.0270097i	−0.436845	+	0.899537i	$0.643904\pi$
$620$	−7.32039	+	1.48430i	−0.293994	+	0.0596107i
$621$	−14.7194	−	33.0603i	−0.590668	−	1.32666i
$622$	−4.24221	−	26.7843i	−0.170097	−	1.07395i
$623$	−12.5407	+	0.427926i	−0.502432	+	0.0171445i
$624$			7.99805i			0.320178i
$625$	−24.2413	−	6.11237i	−0.969651	−	0.244495i
$626$	1.04634	−	0.604102i	0.0418200	−	0.0241448i
$627$	−5.98515	+	9.21633i	−0.239024	+	0.368065i
$628$	2.44712	−	6.37497i	0.0976507	−	0.254389i
$629$	−23.4994	−	17.0733i	−0.936984	−	0.680758i
$630$	−2.07834	+	8.60156i	−0.0828030	+	0.342694i
$631$	9.87117	−	7.17183i	0.392965	−	0.285506i	−0.373704	−	0.927548i	$-0.621913\pi$
$631$	9.87117	−	7.17183i	0.392965	−	0.285506i	0.766670	+	0.642042i	$0.221913\pi$
$632$	−0.157718	−	0.588611i	−0.00627368	−	0.0234137i
$633$	7.51538	−	2.88488i	0.298710	−	0.114664i
$634$	15.3594	+	13.8297i	0.610000	+	0.549247i
$635$	−7.16236	+	18.1474i	−0.284230	+	0.720158i
$636$	9.96002	+	3.23621i	0.394940	+	0.128324i
$637$	13.4158	−	43.6324i	0.531555	−	1.72878i
$638$	14.1994	−	27.8678i	0.562158	−	1.10330i
$639$	−16.1433	+	14.5355i	−0.638618	+	0.575015i
$640$	0.781698	+	2.09498i	0.0308993	+	0.0828114i
$641$	−6.77222	+	7.52132i	−0.267487	+	0.297074i	−0.861892	−	0.507091i	$-0.830721\pi$
$641$	−6.77222	+	7.52132i	−0.267487	+	0.297074i	0.594406	+	0.804165i	$0.297387\pi$
$642$	5.45750	−	6.73945i	0.215390	−	0.265985i
$643$	24.3319	−	24.3319i	0.959558	−	0.959558i	−0.0396551	−	0.999213i	$-0.512626\pi$
$643$	24.3319	−	24.3319i	0.959558	−	0.959558i	0.999213	+	0.0396551i	$0.0126259\pi$
$644$	11.3817	+	13.1143i	0.448503	+	0.516775i
$645$	4.27446	−	3.04467i	0.168307	−	0.119884i
$646$	8.67286	−	3.86141i	0.341229	−	0.151925i
$647$	−3.83400	+	3.10471i	−0.150730	+	0.122059i	−0.701719	−	0.712454i	$-0.747584\pi$
$647$	−3.83400	+	3.10471i	−0.150730	+	0.122059i	0.550989	+	0.834512i	$0.314251\pi$
$648$	−1.90828	−	1.23925i	−0.0749645	−	0.0486825i
$649$	23.4454	−	40.6086i	0.920313	−	1.59403i
$650$	19.6573	−	26.0142i	0.771022	−	1.02036i
$651$	−4.58874	+	9.82015i	−0.179847	+	0.384882i
$652$	−4.17461	−	8.19314i	−0.163490	−	0.320868i
$653$	−46.8141	−	17.9702i	−1.83198	−	0.703229i	−0.985231	−	0.171229i	$-0.945226\pi$
$653$	−46.8141	−	17.9702i	−1.83198	−	0.703229i	−0.846744	−	0.532000i	$-0.821441\pi$
$654$	−0.421111	+	4.00661i	−0.0164668	+	0.156671i
$655$	−14.4691	−	13.2761i	−0.565353	−	0.518741i
$656$	3.32383	−	0.349349i	0.129774	−	0.0136398i
$657$	8.38807	+	8.38807i	0.327250	+	0.327250i
$658$	−0.123364	+	0.0600472i	−0.00480924	+	0.00234088i
$659$	−7.09217	+	2.30438i	−0.276272	+	0.0897661i	−0.443876	−	0.896088i	$-0.646397\pi$
$659$	−7.09217	+	2.30438i	−0.276272	+	0.0897661i	0.167604	+	0.985854i	$0.446397\pi$
$660$	0.878509	−	14.2089i	0.0341959	−	0.553079i
$661$	0.690893	+	3.25040i	0.0268726	+	0.126426i	0.989539	−	0.144264i	$-0.0460815\pi$
$661$	0.690893	+	3.25040i	0.0268726	+	0.126426i	−0.962667	+	0.270690i	$0.912748\pi$
$662$	1.65832	+	31.6427i	0.0644525	+	1.22983i
$663$	−36.8930	+	23.9586i	−1.43281	+	0.930475i
$664$	−2.36106	+	7.26660i	−0.0916270	+	0.281999i
$665$	1.31811	+	10.1263i	0.0511142	+	0.392680i
$666$	−2.44106	−	7.51281i	−0.0945891	−	0.291115i
$667$	30.7322	+	24.8865i	1.18996	+	0.963608i
$668$	−11.0985	−	2.97385i	−0.429416	−	0.115062i
$669$	−12.7356	+	28.6046i	−0.492386	+	1.10592i
$670$	−21.4883	−	12.6768i	−0.830166	−	0.489747i
$671$	−0.0875665	+	0.120525i	−0.00338047	+	0.00465281i
$672$	3.11852	+	0.896911i	0.120300	+	0.0345991i
$673$	−39.9668	+	20.3641i	−1.54061	+	0.784978i	−0.998469	−	0.0553125i	$-0.982384\pi$
$673$	−39.9668	+	20.3641i	−1.54061	+	0.784978i	−0.542137	+	0.840290i	$0.682384\pi$
$674$	−21.5319	−	12.4315i	−0.829379	−	0.478842i
$675$	9.39501	+	25.9195i	0.361614	+	0.997641i
$676$	14.7630	+	25.5702i	0.567807	+	0.983470i
$677$	−2.01873	+	38.5196i	−0.0775859	+	1.48043i	0.631538	+	0.775345i	$0.282424\pi$
$677$	−2.01873	+	38.5196i	−0.0775859	+	1.48043i	−0.709124	+	0.705083i	$0.750910\pi$
$678$	18.5277	−	2.93449i	0.711550	−	0.112698i
$679$	5.73718	+	3.45347i	0.220173	+	0.132532i
$680$	−7.32200	+	9.88141i	−0.280786	+	0.378935i
$681$	−3.12309	−	29.7142i	−0.119677	−	1.13865i
$682$	−4.48786	+	16.7489i	−0.171849	+	0.641350i
$683$	−0.159554	−	0.415653i	−0.00610518	−	0.0159045i	0.930494	−	0.366307i	$-0.119378\pi$
$683$	−0.159554	−	0.415653i	−0.00610518	−	0.0159045i	−0.936599	+	0.350403i	$0.886045\pi$
$684$	2.52541	+	0.536793i	0.0965616	+	0.0205248i
$685$	−19.3490	+	18.9890i	−0.739288	+	0.725533i
$686$	−15.5082	−	10.1240i	−0.592107	−	0.386535i
$687$	−3.05958	−	1.55894i	−0.116730	−	0.0594771i
$688$	1.04221	+	1.60487i	0.0397340	+	0.0611850i
$689$	54.4663	−	11.5772i	2.07500	−	0.441055i
$690$	17.3415	+	4.82162i	0.660181	+	0.183556i
$691$	−1.23630	+	5.81632i	−0.0470309	+	0.221263i	−0.995387	−	0.0959460i	$-0.969412\pi$
$691$	−1.23630	+	5.81632i	−0.0470309	+	0.221263i	0.948356	+	0.317209i	$0.102746\pi$
$692$	−24.1663	−	3.82756i	−0.918664	−	0.145502i
$693$	15.7261	+	13.2172i	0.597387	+	0.502079i
$694$	9.45356	+	13.0117i	0.358852	+	0.493918i
$695$	−2.05049	+	0.889961i	−0.0777794	+	0.0337581i
$696$	7.34934	+	0.772447i	0.278576	+	0.0292795i
$697$	11.5682	+	14.2855i	0.438176	+	0.541102i
$698$	19.3181	+	1.01242i	0.731201	+	0.0383206i
$699$	−13.0249			−0.492648
$700$	−7.93882	−	10.5818i	−0.300059	−	0.399956i
$701$	10.8580			0.410102			0.205051	−	0.978751i	$-0.434264\pi$
$701$	10.8580			0.410102			0.205051	+	0.978751i	$0.434264\pi$
$702$	−35.9081	−	1.88186i	−1.35526	−	0.0710264i
$703$	−5.73676	−	7.08431i	−0.216366	−	0.267190i
$704$	5.16250	+	0.542600i	0.194569	+	0.0204500i
$705$	−0.0722623	+	0.122491i	−0.00272155	+	0.00461328i
$706$	19.8893	+	27.3753i	0.748544	+	1.03028i
$707$	6.21117	−	35.0619i	0.233595	−	1.31864i
$708$	10.9426	+	1.73313i	0.411247	+	0.0651352i
$709$	1.18454	−	5.57281i	0.0444862	−	0.209291i	−0.950291	−	0.311364i	$-0.899214\pi$
$709$	1.18454	−	5.57281i	0.0444862	−	0.209291i	0.994777	+	0.102073i	$0.0325475\pi$
$710$	−1.39499	−	32.4443i	−0.0523531	−	1.21761i
$711$	0.891566	−	0.189508i	0.0334363	−	0.00710711i
$712$	−2.58306	−	3.97756i	−0.0968041	−	0.149065i
$713$	−19.5341	−	9.95312i	−0.731558	−	0.372747i
$714$	5.20447	+	17.0717i	0.194772	+	0.638892i
$715$	−33.7293	−	67.7629i	−1.26140	−	2.53419i
$716$	−11.9870	−	2.54791i	−0.447975	−	0.0952199i
$717$	−9.43531	−	24.5798i	−0.352368	−	0.917951i
$718$	−4.91874	+	18.3570i	−0.183566	+	0.685076i
$719$	0.633555	+	6.02787i	0.0236276	+	0.224802i	0.999964	+	0.00854215i	$0.00271908\pi$
$719$	0.633555	+	6.02787i	0.0236276	+	0.224802i	−0.976336	+	0.216260i	$0.930614\pi$
$720$	−3.19051	+	1.00364i	−0.118903	+	0.0374034i
$721$	−5.16238	−	9.33071i	−0.192257	−	0.347494i
$722$	−15.8234	+	2.50618i	−0.588885	+	0.0932702i
$723$	−0.278955	+	5.32278i	−0.0103744	+	0.197956i
$724$	4.40243	+	7.62523i	0.163615	+	0.283389i
$725$	−22.0058	−	20.5753i	−0.817274	−	0.764149i
$726$	−16.9369	−	9.77852i	−0.628587	−	0.362915i
$727$	8.70810	−	4.43700i	0.322966	−	0.164559i	−0.284989	−	0.958531i	$-0.591990\pi$
$727$	8.70810	−	4.43700i	0.322966	−	0.164559i	0.607955	+	0.793971i	$0.291990\pi$
$728$	16.7443	−	4.16065i	0.620584	−	0.154204i
$729$	13.9255	−	19.1668i	0.515759	−	0.709881i
$730$	−17.6531	+	1.68799i	−0.653371	+	0.0624752i
$731$	−4.28084	+	9.61493i	−0.158333	+	0.355621i
$732$	−0.0339997	−	0.00911019i	−0.00125666	−	0.000336722i
$733$	−16.3060	−	13.2043i	−0.602275	−	0.487712i	0.279016	−	0.960286i	$-0.409992\pi$
$733$	−16.3060	−	13.2043i	−0.602275	−	0.487712i	−0.881291	+	0.472574i	$0.843325\pi$
$734$	2.45076	+	7.54266i	0.0904591	+	0.278405i
$735$	−19.1969	+	0.124202i	−0.708089	+	0.00458128i
$736$	−2.02814	+	6.24196i	−0.0747581	+	0.230082i
$737$	−48.5740	+	31.5443i	−1.78925	+	1.16195i
$738$	0.261631	+	4.99222i	0.00963078	+	0.183766i
$739$	−0.322167	−	1.51568i	−0.0118511	−	0.0557550i	0.971825	−	0.235705i	$-0.0757398\pi$
$739$	−0.322167	−	1.51568i	−0.0118511	−	0.0557550i	−0.983676	+	0.179950i	$0.942406\pi$
$740$	10.9845	+	4.33533i	0.403799	+	0.159370i
$741$	−13.1297	+	4.26609i	−0.482331	+	0.156719i
$742$	1.59386	−	22.5352i	0.0585125	−	0.827294i
$743$	16.6888	+	16.6888i	0.612254	+	0.612254i	0.943533	−	0.331279i	$-0.107480\pi$
$743$	16.6888	+	16.6888i	0.612254	+	0.612254i	−0.331279	+	0.943533i	$0.607480\pi$
$744$	−4.07445	+	0.428242i	−0.149377	+	0.0157001i
$745$	−0.198103	−	0.977022i	−0.00725793	−	0.0357953i
$746$	−2.75926	+	26.2526i	−0.101024	+	0.961177i
$747$	−10.6694	−	4.09561i	−0.390374	−	0.149851i
$748$	12.9617	+	25.4387i	0.473925	+	0.930130i
$749$	−16.9484	−	7.91961i	−0.619280	−	0.289376i
$750$	−12.9167	−	4.60299i	−0.471652	−	0.168077i
$751$	8.21620	−	14.2309i	0.299813	−	0.519292i	−0.676280	−	0.736645i	$-0.736409\pi$
$751$	8.21620	−	14.2309i	0.299813	−	0.519292i	0.976093	+	0.217353i	$0.0697423\pi$
$752$	−0.0434914	−	0.0282436i	−0.00158597	−	0.00102994i
$753$	1.48621	−	1.20351i	0.0541606	−	0.0438584i
$754$	35.8950	−	15.9815i	1.30722	−	0.582011i
$755$	−0.838054	+	2.49917i	−0.0304999	+	0.0909542i
$756$	−4.76054	+	13.7899i	−0.173139	+	0.501534i
$757$	−18.8812	+	18.8812i	−0.686248	+	0.686248i	−0.961401	−	0.275152i	$-0.911272\pi$
$757$	−18.8812	+	18.8812i	−0.686248	+	0.686248i	0.275152	+	0.961401i	$0.411272\pi$
$758$	7.98077	−	9.85544i	0.289875	−	0.357966i
$759$	27.9594	−	31.0521i	1.01486	−	1.12712i
$760$	−3.02219	+	2.40069i	−0.109626	+	0.0870822i
$761$	−23.1518	+	20.8460i	−0.839252	+	0.755666i	−0.971874	−	0.235501i	$-0.924327\pi$
$761$	−23.1518	+	20.8460i	−0.839252	+	0.755666i	0.132622	+	0.991167i	$0.457660\pi$
$762$	−4.85813	+	9.53462i	−0.175992	+	0.345403i
$763$	8.60707	−	1.20265i	0.311597	−	0.0435389i
$764$	14.3139	+	4.65087i	0.517859	+	0.168262i
$765$	−14.1869	−	11.7106i	−0.512927	−	0.423396i
$766$	−2.75578	−	2.48132i	−0.0995705	−	0.0896537i
$767$	54.9947	−	21.1105i	1.98574	−	0.762256i
$768$	0.317434	+	1.18468i	0.0114544	+	0.0427485i
$769$	6.60172	−	4.79643i	0.238064	−	0.172964i	−0.462356	−	0.886694i	$-0.652996\pi$
$769$	6.60172	−	4.79643i	0.238064	−	0.172964i	0.700420	+	0.713730i	$0.252996\pi$
$770$	−30.2039	+	5.55236i	−1.08847	+	0.200093i
$771$	18.3702	+	13.3468i	0.661588	+	0.480672i
$772$	−0.945193	+	2.46231i	−0.0340182	+	0.0886206i
$773$	−12.4505	+	19.1720i	−0.447812	+	0.689569i	−0.988426	−	0.151701i	$-0.951525\pi$
$773$	−12.4505	+	19.1720i	−0.447812	+	0.689569i	0.540615	+	0.841270i	$0.318192\pi$
$774$	−2.47881	+	1.43114i	−0.0890989	+	0.0514413i
$775$	14.3050	+	8.62113i	0.513850	+	0.309680i
$776$			2.53100i			0.0908576i
$777$	14.5403	−	9.06970i	0.521631	−	0.325374i
$778$	0.792262	+	5.00215i	0.0284040	+	0.179336i
$779$	2.34640	+	5.27010i	0.0840685	+	0.188821i
$780$	12.0911	−	13.1776i	0.432932	−	0.471833i
$781$	−68.8699	−	30.6629i	−2.46436	−	1.09720i
$782$	−34.8680	+	9.34285i	−1.24688	+	0.334100i
$783$	−5.19721	+	32.8139i	−0.185733	+	1.17267i
$784$	0.255445	−	6.99534i	0.00912305	−	0.249833i
$785$	−13.6693	+	6.80394i	−0.487878	+	0.242843i
$786$	−7.20704	−	8.00423i	−0.257067	−	0.285501i
$787$	−35.2428	+	1.84700i	−1.25627	+	0.0658384i	−0.668822	−	0.743423i	$-0.733201\pi$
$787$	−35.2428	+	1.84700i	−1.25627	+	0.0658384i	−0.587449	+	0.809261i	$0.699868\pi$
$788$	−18.8174	+	0.986180i	−0.670343	+	0.0351312i
$789$	−7.20580	−	8.00285i	−0.256533	−	0.284909i
$790$	−0.629982	+	1.20823i	−0.0224137	+	0.0429868i
$791$	−15.7817	−	37.2619i	−0.561133	−	1.32488i
$792$	−1.21463	+	7.66884i	−0.0431598	+	0.272500i
$793$	−0.180778	+	0.0484392i	−0.00641960	+	0.00172013i
$794$	4.43014	+	1.97243i	0.157220	+	0.0699988i
$795$	−11.5178	−	20.3891i	−0.408493	−	0.723127i
$796$	3.74264	+	8.40610i	0.132654	+	0.297946i
$797$	−1.65605	−	10.4559i	−0.0586603	−	0.370367i	−0.999503	−	0.0315231i	$-0.989964\pi$
$797$	−1.65605	−	10.4559i	−0.0586603	−	0.370367i	0.940843	−	0.338844i	$-0.110036\pi$
$798$	0.191014	+	5.59780i	0.00676181	+	0.198160i
$799$		−	0.285220i		−	0.0100904i
$800$	1.87918	−	4.63343i	0.0664390	−	0.163817i
$801$	6.14356	−	3.54699i	0.217072	−	0.125327i
$802$	−0.813249	+	1.25229i	−0.0287168	+	0.0442200i
$803$	−14.7532	+	38.4335i	−0.520630	+	1.35629i
$804$	−11.0709	−	8.04346i	−0.390440	−	0.283671i
$805$	1.07307	−	38.8135i	0.0378209	−	1.36800i
$806$	−17.6231	+	12.8039i	−0.620747	+	0.450999i
$807$	7.70879	+	28.7696i	0.271362	+	1.01274i
$808$	12.5646	−	4.82309i	0.442020	−	0.169676i
$809$	−26.1699	−	23.5635i	−0.920086	−	0.828449i	0.0654604	−	0.997855i	$-0.479148\pi$
$809$	−26.1699	−	23.5635i	−0.920086	−	0.828449i	−0.985546	+	0.169406i	$0.945815\pi$
$810$	1.27064	+	4.92666i	0.0446456	+	0.173105i
$811$	−44.4955	−	14.4575i	−1.56245	−	0.507671i	−0.604989	−	0.796234i	$-0.706822\pi$
$811$	−44.4955	−	14.4575i	−1.56245	−	0.507671i	−0.957461	+	0.288563i	$0.906822\pi$
$812$	−2.20603	−	15.7880i	−0.0774165	−	0.554050i
$813$	1.51098	−	2.96546i	0.0529923	−	0.104003i
$814$	20.3728	−	18.3437i	0.714065	−	0.642947i
$815$	−5.50795	+	19.8100i	−0.192935	+	0.693915i
$816$	−4.51374	+	5.01302i	−0.158012	+	0.175491i
$817$	−2.07866	+	2.56693i	−0.0727231	+	0.0898055i
$818$	23.3964	−	23.3964i	0.818036	−	0.818036i
$819$	4.90405	+	25.3369i	0.171361	+	0.885344i
$820$	−6.00448	−	4.44925i	−0.209686	−	0.155374i
$821$	−4.34467	+	1.93437i	−0.151630	+	0.0675100i	−0.481149	−	0.876639i	$-0.659780\pi$
$821$	−4.34467	+	1.93437i	−0.151630	+	0.0675100i	0.329519	+	0.944149i	$0.393114\pi$
$822$	−11.5560	+	9.35790i	−0.403063	+	0.326394i
$823$	28.9287	+	18.7865i	1.00839	+	0.654857i	0.939422	−	0.342762i	$-0.111362\pi$
$823$	28.9287	+	18.7865i	1.00839	+	0.654857i	0.0689689	+	0.997619i	$0.478029\pi$
$824$	2.01523	−	3.49048i	0.0702039	−	0.121597i
$825$	−22.9278	+	22.0824i	−0.798243	+	0.768811i
$826$	−2.06402	−	23.8103i	−0.0718164	−	0.828468i
$827$	−12.4517	−	24.4378i	−0.432987	−	0.849786i	−0.999666	−	0.0258466i	$-0.991772\pi$
$827$	−12.4517	−	24.4378i	−0.432987	−	0.849786i	0.566679	−	0.823939i	$-0.308228\pi$
$828$	−9.16497	−	3.51810i	−0.318505	−	0.122263i
$829$	0.536504	−	5.10449i	0.0186335	−	0.177286i	−0.981247	−	0.192756i	$-0.938258\pi$
$829$	0.536504	−	5.10449i	0.0186335	−	0.177286i	0.999880	+	0.0154692i	$0.00492421\pi$
$830$	14.8754	−	8.40310i	0.516334	−	0.291676i
$831$	28.2879	−	2.97317i	0.981295	−	0.103138i
$832$	4.61118	+	4.61118i	0.159864	+	0.159864i
$833$	33.0329	−	19.7766i	1.14452	−	0.685219i
$834$	−1.16604	+	0.378869i	−0.0403766	+	0.0131192i
$835$	13.7902	+	21.6780i	0.477231	+	0.750199i
$836$	1.86289	+	8.76423i	0.0644295	+	0.303117i
$837$	−0.963961	−	18.3935i	−0.0333194	−	0.635771i
$838$	−2.42655	+	1.57582i	−0.0838237	+	0.0544357i
$839$	9.55777	−	29.4158i	0.329971	−	1.01555i	−0.639176	−	0.769061i	$-0.720724\pi$
$839$	9.55777	−	29.4158i	0.329971	−	1.01555i	0.969147	−	0.246485i	$-0.0792757\pi$
$840$	−3.78216	−	6.19220i	−0.130497	−	0.213651i
$841$	−2.25704	−	6.94645i	−0.0778289	−	0.239533i
$842$	3.62619	+	2.93643i	0.124967	+	0.101196i
$843$	27.0169	+	7.23914i	0.930510	+	0.249329i
$844$	2.66966	−	5.99615i	0.0918934	−	0.206396i
$845$	14.3325	−	64.4475i	0.493054	−	2.21706i
$846$	0.0455927	−	0.0627529i	0.00156751	−	0.00215749i
$847$	−11.6611	+	40.5450i	−0.400679	+	1.39314i
$848$	7.60812	−	3.87653i	0.261264	−	0.133121i
$849$	18.6778	+	10.7836i	0.641020	+	0.370093i
$850$	27.0020	−	5.21151i	0.926162	−	0.178753i
$851$	17.3307	+	30.0177i	0.594089	+	1.02899i
$852$	0.932205	−	17.7875i	0.0319368	−	0.609391i
$853$	−26.8359	+	4.25039i	−0.918844	+	0.145531i	−0.597903	−	0.801568i	$-0.703999\pi$
$853$	−26.8359	+	4.25039i	−0.918844	+	0.145531i	−0.320941	+	0.947099i	$0.603999\pi$
$854$	−0.00138569	+	0.0759190i	−4.74172e−5	+	0.00259789i
$855$	−3.34937	−	4.70224i	−0.114546	−	0.160813i
$856$	−0.739094	−	7.03201i	−0.0252617	−	0.240349i
$857$	1.40956	−	5.26056i	0.0481498	−	0.179697i	−0.937663	−	0.347546i	$-0.887015\pi$
$857$	1.40956	−	5.26056i	0.0481498	−	0.179697i	0.985813	+	0.167848i	$0.0536819\pi$
$858$	−14.8785	−	38.7598i	−0.507943	−	1.32324i
$859$	16.2017	+	3.44377i	0.552794	+	0.117500i	0.475836	−	0.879534i	$-0.342146\pi$
$859$	16.2017	+	3.44377i	0.552794	+	0.117500i	0.0769587	+	0.997034i	$0.475479\pi$
$860$	0.709021	−	4.21975i	0.0241774	−	0.143892i
$861$	−10.3737	+	3.16252i	−0.353534	+	0.107778i
$862$	5.57259	+	2.83938i	0.189803	+	0.0967096i
$863$	18.8976	+	29.0997i	0.643281	+	0.990566i	0.998444	+	0.0557613i	$0.0177586\pi$
$863$	18.8976	+	29.0997i	0.643281	+	0.990566i	−0.355163	+	0.934804i	$0.615575\pi$
$864$	−5.39344	+	1.14641i	−0.183488	+	0.0390017i
$865$	34.0300	+	42.8399i	1.15706	+	1.45660i
$866$	5.20011	−	24.4646i	0.176707	−	0.831341i
$867$	−16.0516	−	2.54233i	−0.545141	−	0.0863419i
$868$	3.01611	+	8.30727i	0.102373	+	0.281967i
$869$	1.85930	+	2.55910i	0.0630723	+	0.0868116i
$870$	−10.9410	−	12.3831i	−0.370935	−	0.419827i
$871$	−72.3616	−	7.60551i	−2.45188	−	0.257703i
$872$	2.06717	+	2.55275i	0.0700033	+	0.0864469i
$873$	−3.78060	−	0.198133i	−0.127954	−	0.00670579i
$874$	−11.3287			−0.383198
$875$	−2.91718	+	29.4362i	−0.0986187	+	0.995125i
$876$	−9.72680			−0.328638
$877$	46.7379	+	2.44943i	1.57823	+	0.0827114i	0.821188	−	0.570658i	$-0.193312\pi$
$877$	46.7379	+	2.44943i	1.57823	+	0.0827114i	0.757039	+	0.653369i	$0.226645\pi$
$878$	1.58606	+	1.95862i	0.0535268	+	0.0661001i
$879$	−10.7557	−	1.13047i	−0.362780	−	0.0381297i
$880$	−7.68545	−	8.69844i	−0.259076	−	0.293224i
$881$	17.1521	+	23.6079i	0.577870	+	0.795370i	0.993460	−	0.114183i	$-0.0364249\pi$
$881$	17.1521	+	23.6079i	0.577870	+	0.795370i	−0.415590	+	0.909552i	$0.636425\pi$
$882$	10.4291	+	0.929176i	0.351165	+	0.0312870i
$883$	−14.8492	−	2.35188i	−0.499715	−	0.0791471i	−0.0985114	−	0.995136i	$-0.531408\pi$
$883$	−14.8492	−	2.35188i	−0.499715	−	0.0791471i	−0.401204	+	0.915989i	$0.631408\pi$
$884$	−7.45717	+	35.0832i	−0.250812	+	1.17998i
$885$	−15.4089	−	19.3980i	−0.517965	−	0.652058i
$886$	9.22311	−	1.96043i	0.309856	−	0.0658620i
$887$	8.64698	+	13.3152i	0.290337	+	0.447080i	0.953499	−	0.301396i	$-0.0974526\pi$
$887$	8.64698	+	13.3152i	0.290337	+	0.447080i	−0.663162	+	0.748476i	$0.730786\pi$
$888$	5.77125	+	2.94060i	0.193670	+	0.0986800i
$889$	22.4884	+	5.21073i	0.754236	+	0.174762i
$890$	−1.75726	+	10.4584i	−0.0589036	+	0.350566i
$891$	11.5532	+	2.45570i	0.387046	+	0.0822692i
$892$	9.14907	+	23.8341i	0.306333	+	0.798026i
$893$	0.0231671	−	0.0864608i	0.000775258	−	0.00289330i
$894$	−0.0571558	−	0.543801i	−0.00191158	−	0.0181874i
$895$	15.8979	+	22.3194i	0.531409	+	0.746054i
$896$	2.31505	−	1.28084i	0.0773403	−	0.0427899i
$897$	51.8464	−	8.21167i	1.73110	−	0.274180i
$898$	1.04873	−	20.0109i	0.0349964	−	0.667771i
$899$	10.0634	+	17.4303i	0.335633	+	0.581334i
$900$	6.77394	+	3.16968i	0.225798	+	0.105656i
$901$	40.6720	+	23.4820i	1.35498	+	0.782298i
$902$	−15.4579	+	7.87621i	−0.514693	+	0.262249i
$903$	−4.30989	−	4.47015i	−0.143424	−	0.148757i
$904$	8.99004	−	12.3737i	0.299004	−	0.411544i
$905$	4.27406	−	19.2187i	0.142075	−	0.638852i
$906$	−0.588060	+	1.32080i	−0.0195370	+	0.0438808i
$907$	−41.7449	−	11.1855i	−1.38612	−	0.371409i	−0.512777	−	0.858522i	$-0.671383\pi$
$907$	−41.7449	−	11.1855i	−1.38612	−	0.371409i	−0.873339	+	0.487113i	$0.838050\pi$
$908$	−18.9319	−	15.3308i	−0.628278	−	0.508770i
$909$	6.22075	+	19.1455i	0.206329	+	0.635017i
$910$	−33.8778	−	18.4582i	−1.12304	−	0.611884i
$911$	11.8702	−	36.5327i	0.393277	−	1.21038i	−0.537019	−	0.843570i	$-0.680450\pi$
$911$	11.8702	−	36.5327i	0.393277	−	1.21038i	0.930296	−	0.366811i	$-0.119550\pi$
$912$	−1.77547	+	1.15300i	−0.0587916	+	0.0381797i
$913$	−2.07573	−	39.6073i	−0.0686966	−	1.31081i
$914$	4.18238	+	19.6765i	0.138341	+	0.650842i
$915$	0.0422455	+	0.0664092i	0.00139659	+	0.00219542i
$916$	−2.66275	+	0.865180i	−0.0879797	+	0.0285863i
$917$	−13.0080	+	19.2521i	−0.429563	+	0.635761i
$918$	−21.4444	−	21.4444i	−0.707772	−	0.707772i
$919$	51.1500	−	5.37608i	1.68728	−	0.177341i	0.788290	−	0.615303i	$-0.210967\pi$
$919$	51.1500	−	5.37608i	1.68728	−	0.177341i	0.898993	+	0.437963i	$0.144300\pi$
$920$	12.7779	−	7.21821i	0.421275	−	0.237977i
$921$	−1.62889	+	15.4979i	−0.0536739	+	0.510673i
$922$	16.0426	+	6.15818i	0.528335	+	0.202809i
$923$	−42.9960	−	84.3843i	−1.41523	−	2.77754i
$924$	−16.7813	+	1.45470i	−0.552065	+	0.0478562i
$925$	−11.5441	−	23.7488i	−0.379568	−	0.780856i
$926$	−12.4882	+	21.6303i	−0.410389	+	0.710815i
$927$	5.05604	+	3.28343i	0.166062	+	0.107842i
$928$	4.68252	−	3.79183i	0.153711	−	0.124473i
$929$	27.6214	−	12.2978i	0.906229	−	0.403479i	0.0999348	−	0.994994i	$-0.468137\pi$
$929$	27.6214	−	12.2978i	0.906229	−	0.403479i	0.806294	+	0.591515i	$0.201470\pi$
$930$	7.36047	+	5.45402i	0.241359	+	0.178844i
$931$	11.6199	−	3.31191i	0.380826	−	0.108544i
$932$	−7.50936	+	7.50936i	−0.245977	+	0.245977i
$933$	−20.9310	+	25.8476i	−0.685249	+	0.846212i
$934$	−11.8207	+	13.1282i	−0.386785	+	0.429568i
$935$	17.1015	−	61.5077i	0.559279	−	2.01152i
$936$	−7.24878	+	6.52683i	−0.236934	+	0.213336i
$937$	12.2796	−	24.1001i	0.401158	−	0.787317i	−0.598749	−	0.800936i	$-0.704335\pi$
$937$	12.2796	−	24.1001i	0.401158	−	0.787317i	0.999907	+	0.0136198i	$0.00433545\pi$
$938$	−11.0802	+	27.3616i	−0.361781	+	0.893389i
$939$	−1.40930	−	0.457910i	−0.0459908	−	0.0149433i
$940$	0.0289589	+	0.112283i	0.000944534	+	0.00366226i
$941$	37.7516	+	33.9917i	1.23067	+	1.10810i	0.990521	+	0.137361i	$0.0438619\pi$
$941$	37.7516	+	33.9917i	1.23067	+	1.10810i	0.240146	+	0.970737i	$0.422805\pi$
$942$	−7.81871	+	3.00132i	−0.254747	+	0.0977883i
$943$	−5.67722	−	21.1877i	−0.184876	−	0.689966i
$944$	7.30802	−	5.30959i	0.237856	−	0.172812i
$945$	28.6905	−	15.5235i	0.933301	−	0.504978i
$946$	−8.03620	−	5.83864i	−0.261279	−	0.189831i
$947$	−14.2540	+	37.1330i	−0.463193	+	1.20666i	0.480840	+	0.876809i	$0.340332\pi$
$947$	−14.2540	+	37.1330i	−0.463193	+	1.20666i	−0.944033	+	0.329851i	$0.893001\pi$
$948$	−0.407053	+	0.626806i	−0.0132205	+	0.0203577i
$949$	−44.7889	+	25.8589i	−1.45391	+	0.839415i
$950$	8.60863	+	0.613448i	0.279301	+	0.0199029i
$951$		−	25.3489i		−	0.821993i
$952$	12.8430	+	6.84190i	0.416246	+	0.221747i
$953$	−1.10839	−	6.99810i	−0.0359043	−	0.226691i	0.963211	−	0.268746i	$-0.0866093\pi$
$953$	−1.10839	−	6.99810i	−0.0359043	−	0.226691i	−0.999115	+	0.0420556i	$0.986609\pi$
$954$	5.19487	+	11.6679i	0.168190	+	0.377761i
$955$	−16.5526	−	29.3019i	−0.535629	−	0.948188i
$956$	−19.6110	−	8.73139i	−0.634266	−	0.282393i
$957$	−37.0530	+	9.92832i	−1.19775	+	0.320937i
$958$	0.431950	−	2.72722i	0.0139557	−	0.0881126i
$959$	25.6027	+	19.3250i	0.826754	+	0.624038i
$960$	1.26795	−	2.43176i	0.0409228	−	0.0784848i
$961$	13.2767	+	14.7453i	0.428282	+	0.475655i
$962$	34.3924	−	1.80243i	1.10886	−	0.0581127i
$963$	10.5617	−	0.553515i	0.340346	−	0.0178368i
$964$	2.90795	+	3.22961i	0.0936589	+	0.104019i
$965$	5.27972	−	2.62800i	0.169960	−	0.0845984i
$966$	2.61231	−	21.1363i	0.0840497	−	0.680050i
$967$	−6.02923	+	38.0670i	−0.193887	+	1.22415i	0.678228	+	0.734852i	$0.262748\pi$
$967$	−6.02923	+	38.0670i	−0.193887	+	1.22415i	−0.872115	+	0.489302i	$0.837252\pi$
$968$	−15.4024	+	4.12707i	−0.495053	+	0.132649i
$969$	−10.6370	−	4.73590i	−0.341710	−	0.152139i
$970$	3.82626	−	4.17008i	0.122854	−	0.133893i
$971$	6.18053	+	13.8817i	0.198343	+	0.445485i	0.985146	−	0.171719i	$-0.0549321\pi$
$971$	6.18053	+	13.8817i	0.198343	+	0.445485i	−0.786803	+	0.617204i	$0.788265\pi$
$972$	−2.15115	−	13.5818i	−0.0689981	−	0.435637i
$973$	1.39976	+	2.24406i	0.0448742	+	0.0719413i
$974$			7.91272i			0.253540i
$975$	−39.8427	+	3.43254i	−1.27599	+	0.109929i
$976$	−0.0248545	+	0.0143497i	−0.000795572	+	0.000459324i
$977$	2.28457	−	3.51793i	0.0730898	−	0.112548i	−0.800236	−	0.599686i	$-0.795292\pi$
$977$	2.28457	−	3.51793i	0.0730898	−	0.112548i	0.873325	+	0.487137i	$0.161959\pi$
$978$	−4.04162	+	10.5288i	−0.129237	+	0.336673i
$979$	19.9172	+	14.4707i	0.636556	+	0.462485i
$980$	−10.9961	+	11.1393i	−0.351259	+	0.355833i
$981$	−3.97491	+	2.88794i	−0.126909	+	0.0922049i
$982$	−7.90475	−	29.5009i	−0.252251	−	0.941413i
$983$	−10.4225	+	4.00083i	−0.332427	+	0.127607i	−0.518856	−	0.854862i	$-0.673642\pi$
$983$	−10.4225	+	4.00083i	−0.332427	+	0.127607i	0.186429	+	0.982468i	$0.440309\pi$
$984$	−3.04618	−	2.74279i	−0.0971087	−	0.0874371i
$985$	32.4945	+	26.8226i	1.03536	+	0.854639i
$986$	31.5175	+	10.2406i	1.00372	+	0.326129i
$987$	0.155971	+	0.0631610i	0.00496461	+	0.00201044i
$988$	−5.11020	+	10.0293i	−0.162577	+	0.319075i
$989$	9.33332	−	8.40376i	0.296782	−	0.267224i
$990$	13.5947	−	10.7990i	0.432067	−	0.343214i
$991$	9.77655	−	10.8580i	0.310562	−	0.344914i	−0.567576	−	0.823321i	$-0.692119\pi$
$991$	9.77655	−	10.8580i	0.310562	−	0.344914i	0.878139	+	0.478406i	$0.158785\pi$
$992$	−2.10218	+	2.59597i	−0.0667442	+	0.0824223i
$993$	27.4796	−	27.4796i	0.872040	−	0.872040i
$994$	−37.7239	+	7.30159i	−1.19653	+	0.231592i
$995$	6.54162	−	19.5079i	0.207383	−	0.618441i
$996$	8.56077	−	3.81150i	0.271258	−	0.120772i
$997$	−37.1472	+	30.0812i	−1.17646	+	0.952681i	−0.999503	−	0.0315365i	$-0.989960\pi$
$997$	−37.1472	+	30.0812i	−1.17646	+	0.952681i	−0.176961	+	0.984218i	$0.556627\pi$
$998$	−0.780892	−	0.507117i	−0.0247187	−	0.0160525i
$999$	−14.5600	+	25.2187i	−0.460659	+	0.797885i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.x.a.103.8	yes	320
7.3	odd	6	inner	350.2.x.a.3.13	✓	320
25.17	odd	20	inner	350.2.x.a.117.13	yes	320
175.17	even	60	inner	350.2.x.a.17.8	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.x.a.3.13	✓	320	7.3	odd	6	inner
350.2.x.a.17.8	yes	320	175.17	even	60	inner
350.2.x.a.103.8	yes	320	1.1	even	1	trivial
350.2.x.a.117.13	yes	320	25.17	odd	20	inner

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:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.x (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.998630 - 0.0523360i) q^{2} +(0.771843 + 0.953147i) q^{3} +(0.994522 + 0.104528i) q^{4} +(-1.48055 - 1.67570i) q^{5} +(-0.720902 - 0.992236i) q^{6} +(-1.70227 + 2.02541i) q^{7} +(-0.987688 - 0.156434i) q^{8} +(0.310988 - 1.46308i) q^{9} +(1.39082 + 1.75089i) q^{10} +(5.07750 - 1.07926i) q^{11} +(0.667984 + 1.02861i) q^{12} +(5.81042 + 2.96056i) q^{13} +(1.80594 - 1.93354i) q^{14} +(0.454432 - 2.70456i) q^{15} +(0.978148 + 0.207912i) q^{16} +(1.97105 + 5.13476i) q^{17} +(-0.387133 + 1.44480i) q^{18} +(0.180426 + 1.71664i) q^{19} +(-1.29728 - 1.82128i) q^{20} +(-3.24440 - 0.0592173i) q^{21} +(-5.12702 + 0.812041i) q^{22} +(0.343491 - 6.55419i) q^{23} +(-0.613236 - 1.06216i) q^{24} +(-0.615928 + 4.96192i) q^{25} +(-5.64752 - 3.26060i) q^{26} +(4.91295 - 2.50327i) q^{27} +(-1.90466 + 1.83638i) q^{28} +(-3.54157 + 4.87455i) q^{29} +(-0.595355 + 2.67707i) q^{30} +(1.35866 - 3.05160i) q^{31} +(-0.965926 - 0.258819i) q^{32} +(4.94772 + 4.00659i) q^{33} +(-1.69962 - 5.23088i) q^{34} +(5.91427 - 0.146230i) q^{35} +(0.462218 - 1.42256i) q^{36} +(-4.42917 + 2.87634i) q^{37} +(-0.0903367 - 1.72373i) q^{38} +(1.66289 + 7.82328i) q^{39} +(1.20019 + 1.88668i) q^{40} +(3.17857 - 1.03278i) q^{41} +(3.23685 + 0.228935i) q^{42} +(1.35311 + 1.35311i) q^{43} +(5.16250 - 0.542600i) q^{44} +(-2.91212 + 1.64505i) q^{45} +(-0.686040 + 6.52723i) q^{46} +(-0.0484132 - 0.0185841i) q^{47} +(0.556806 + 1.09279i) q^{48} +(-1.20455 - 6.89558i) q^{49} +(0.874770 - 4.92288i) q^{50} +(-3.37284 + 5.84193i) q^{51} +(5.46913 + 3.55170i) q^{52} +(6.63589 - 5.37364i) q^{53} +(-5.03723 + 2.24272i) q^{54} +(-9.32601 - 6.91046i) q^{55} +(1.99816 - 1.73418i) q^{56} +(-1.49695 + 1.49695i) q^{57} +(3.79183 - 4.68252i) q^{58} +(6.04440 - 6.71299i) q^{59} +(0.734646 - 2.64224i) q^{60} +(-0.0213279 + 0.0192037i) q^{61} +(-1.51651 + 2.97631i) q^{62} +(2.43395 + 3.12044i) q^{63} +(0.951057 + 0.309017i) q^{64} +(-3.64164 - 14.1198i) q^{65} +(-4.73125 - 4.26004i) q^{66} +(-10.4164 + 3.99849i) q^{67} +(1.42352 + 5.31266i) q^{68} +(6.51223 - 4.73141i) q^{69} +(-5.91382 - 0.163499i) q^{70} +(-11.7493 - 8.53636i) q^{71} +(-0.536036 + 1.39642i) q^{72} +(-4.31938 + 6.65126i) q^{73} +(4.57364 - 2.64059i) q^{74} +(-5.20484 + 3.24275i) q^{75} +1.72609i q^{76} +(-6.45734 + 12.1212i) q^{77} +(-1.25117 - 7.89958i) q^{78} +(0.247855 + 0.556692i) q^{79} +(-1.09980 - 1.94690i) q^{80} +(2.07865 + 0.925476i) q^{81} +(-3.22826 + 0.865010i) q^{82} +(1.19525 - 7.54649i) q^{83} +(-3.22043 - 0.398025i) q^{84} +(5.68606 - 10.9052i) q^{85} +(-1.28044 - 1.42207i) q^{86} +(-7.37970 + 0.386754i) q^{87} +(-5.18382 + 0.271672i) q^{88} +(3.17348 + 3.52451i) q^{89} +(2.99422 - 1.49039i) q^{90} +(-15.8873 + 6.72880i) q^{91} +(1.02671 - 6.48238i) q^{92} +(3.95730 - 1.06036i) q^{93} +(0.0473742 + 0.0210924i) q^{94} +(2.60943 - 2.84391i) q^{95} +(-0.498851 - 1.12044i) q^{96} +(-0.395936 - 2.49984i) q^{97} +(0.842011 + 6.94917i) q^{98} -7.76444i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) \) 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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