LMFDB - Embedded newform 966.2.bd.a.59.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(59,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 11, 42]))

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

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

chi := DirichletCharacter("966.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.bd (of order $66$, degree $20$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$1280$
Relative dimension:	$64$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			59.1
Character	$\chi$	$=$	966.59
Dual form			966.2.bd.a.131.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.945001 - 0.327068i) q^{2} +(-1.72725 - 0.128835i) q^{3} +(0.786053 + 0.618159i) q^{4} +(-2.25085 + 0.214930i) q^{5} +(1.59012 + 0.686678i) q^{6} +(-2.10733 - 1.59974i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(2.96680 + 0.445061i) q^{9} +O(q^{10})$	\(q+(-0.945001 - 0.327068i) q^{2} +(-1.72725 - 0.128835i) q^{3} +(0.786053 + 0.618159i) q^{4} +(-2.25085 + 0.214930i) q^{5} +(1.59012 + 0.686678i) q^{6} +(-2.10733 - 1.59974i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(2.96680 + 0.445061i) q^{9} +(2.19735 + 0.533071i) q^{10} +(0.0692184 - 0.0239567i) q^{11} +(-1.27807 - 1.16899i) q^{12} +(-0.674569 - 2.29737i) q^{13} +(1.46820 + 2.20100i) q^{14} +(3.91547 - 0.0812502i) q^{15} +(0.235759 + 0.971812i) q^{16} +(-3.42973 - 1.37306i) q^{17} +(-2.65807 - 1.39093i) q^{18} +(-1.96633 - 4.91166i) q^{19} +(-1.90215 - 1.22244i) q^{20} +(3.43378 + 3.03465i) q^{21} -0.0732469 q^{22} +(-4.78603 + 0.306526i) q^{23} +(0.825440 + 1.52271i) q^{24} +(0.110476 - 0.0212924i) q^{25} +(-0.113928 + 2.39165i) q^{26} +(-5.06708 - 1.15096i) q^{27} +(-0.667577 - 2.56014i) q^{28} +(1.40570 - 0.202109i) q^{29} +(-3.72670 - 1.20384i) q^{30} +(10.3681 - 0.493895i) q^{31} +(0.0950560 - 0.995472i) q^{32} +(-0.122644 + 0.0324616i) q^{33} +(2.79201 + 2.41929i) q^{34} +(5.08710 + 3.14785i) q^{35} +(2.05695 + 2.18380i) q^{36} +(-4.91757 + 6.90576i) q^{37} +(0.251739 + 5.28465i) q^{38} +(0.869169 + 4.05505i) q^{39} +(1.39771 + 1.77733i) q^{40} +(-0.0838187 + 0.183537i) q^{41} +(-2.25239 - 3.99083i) q^{42} +(6.07857 + 3.90646i) q^{43} +(0.0692184 + 0.0239567i) q^{44} +(-6.77348 - 0.364110i) q^{45} +(4.62305 + 1.27569i) q^{46} +(-2.70040 - 4.67723i) q^{47} +(-0.282012 - 1.70894i) q^{48} +(1.88166 + 6.74236i) q^{49} +(-0.111364 - 0.0160117i) q^{50} +(5.74711 + 2.81349i) q^{51} +(0.889894 - 2.22285i) q^{52} +(6.79062 + 7.12179i) q^{53} +(4.41195 + 2.74494i) q^{54} +(-0.150651 + 0.0688000i) q^{55} +(-0.206481 + 2.63768i) q^{56} +(2.76356 + 8.73701i) q^{57} +(-1.39449 - 0.268766i) q^{58} +(1.13797 - 4.69077i) q^{59} +(3.12799 + 2.35652i) q^{60} +(-3.81051 + 7.39137i) q^{61} +(-9.95942 - 2.92435i) q^{62} +(-5.54004 - 5.68401i) q^{63} +(-0.415415 + 0.909632i) q^{64} +(2.01213 + 5.02605i) q^{65} +(0.126516 + 0.00943677i) q^{66} +(-5.76631 + 1.11136i) q^{67} +(-1.84718 - 3.19941i) q^{68} +(8.30617 + 0.0871591i) q^{69} +(-3.77776 - 4.63855i) q^{70} +(-0.362642 + 0.314231i) q^{71} +(-1.22957 - 2.73645i) q^{72} +(-2.33898 + 2.97425i) q^{73} +(6.90576 - 4.91757i) q^{74} +(-0.193563 + 0.0225443i) q^{75} +(1.49055 - 5.07633i) q^{76} +(-0.184190 - 0.0602469i) q^{77} +(0.504911 - 4.11630i) q^{78} +(6.33409 + 6.03954i) q^{79} +(-0.739529 - 2.13673i) q^{80} +(8.60384 + 2.64082i) q^{81} +(0.139238 - 0.146029i) q^{82} +(2.69785 + 5.90748i) q^{83} +(0.823237 + 4.50802i) q^{84} +(8.01491 + 2.35339i) q^{85} +(-4.46658 - 5.67972i) q^{86} +(-2.45404 + 0.167990i) q^{87} +(-0.0575760 - 0.0452782i) q^{88} +(-0.0393314 + 0.825667i) q^{89} +(6.28185 + 2.55947i) q^{90} +(-2.25366 + 5.92045i) q^{91} +(-3.95155 - 2.71758i) q^{92} +(-17.9720 - 0.482697i) q^{93} +(1.02211 + 5.30320i) q^{94} +(5.48158 + 10.6328i) q^{95} +(-0.292437 + 1.70718i) q^{96} +(17.3674 + 7.93144i) q^{97} +(0.427043 - 6.98696i) q^{98} +(0.216020 - 0.0402684i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1280 q - 64 q^{4} + 4 q^{9}+O(q^{10}) $ 1280 * q - 64 * q^4 + 4 * q^9	$ 1280 q - 64 q^{4} + 4 q^{9} + 16 q^{15} + 64 q^{16} - 44 q^{18} + 120 q^{21} - 16 q^{22} - 12 q^{24} + 56 q^{25} + 32 q^{30} - 24 q^{33} + 8 q^{36} - 44 q^{37} - 20 q^{39} + 4 q^{42} + 136 q^{43} + 12 q^{45} + 12 q^{46} + 92 q^{49} + 4 q^{51} - 36 q^{54} - 56 q^{57} - 28 q^{58} + 8 q^{60} + 72 q^{61} - 134 q^{63} + 128 q^{64} + 24 q^{67} - 72 q^{70} - 44 q^{72} - 72 q^{73} + 48 q^{75} - 16 q^{78} - 72 q^{79} + 40 q^{81} + 48 q^{82} - 10 q^{84} - 32 q^{85} + 222 q^{87} - 8 q^{88} - 8 q^{91} - 16 q^{93} + 72 q^{94} - 12 q^{96} - 68 q^{99}+O(q^{100}) $ 1280 * q - 64 * q^4 + 4 * q^9 + 16 * q^15 + 64 * q^16 - 44 * q^18 + 120 * q^21 - 16 * q^22 - 12 * q^24 + 56 * q^25 + 32 * q^30 - 24 * q^33 + 8 * q^36 - 44 * q^37 - 20 * q^39 + 4 * q^42 + 136 * q^43 + 12 * q^45 + 12 * q^46 + 92 * q^49 + 4 * q^51 - 36 * q^54 - 56 * q^57 - 28 * q^58 + 8 * q^60 + 72 * q^61 - 134 * q^63 + 128 * q^64 + 24 * q^67 - 72 * q^70 - 44 * q^72 - 72 * q^73 + 48 * q^75 - 16 * q^78 - 72 * q^79 + 40 * q^81 + 48 * q^82 - 10 * q^84 - 32 * q^85 + 222 * q^87 - 8 * q^88 - 8 * q^91 - 16 * q^93 + 72 * q^94 - 12 * q^96 - 68 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{11}\right)$

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 $

$2$	−0.945001	−	0.327068i	−0.668216	−	0.231272i
$2$	−0.945001	−	0.327068i	−0.668216	−	0.231272i
$3$	−1.72725	−	0.128835i	−0.997230	−	0.0743829i
$3$	−1.72725	−	0.128835i	−0.997230	−	0.0743829i
$4$	0.786053	+	0.618159i	0.393027	+	0.309079i
$5$	−2.25085	+	0.214930i	−1.00661	+	0.0961196i	−0.585316	−	0.810805i	$-0.699030\pi$
$5$	−2.25085	+	0.214930i	−1.00661	+	0.0961196i	−0.421293	+	0.906925i	$0.638424\pi$
$6$	1.59012	+	0.686678i	0.649163	+	0.280335i
$7$	−2.10733	−	1.59974i	−0.796495	−	0.604645i
$7$	−2.10733	−	1.59974i	−0.796495	−	0.604645i
$8$	−0.540641	−	0.841254i	−0.191145	−	0.297428i
$9$	2.96680	+	0.445061i	0.988934	+	0.148354i
$10$	2.19735	+	0.533071i	0.694863	+	0.168572i
$11$	0.0692184	−	0.0239567i	0.0208701	−	0.00722322i	−0.316613	−	0.948555i	$-0.602546\pi$
$11$	0.0692184	−	0.0239567i	0.0208701	−	0.00722322i	0.337483	+	0.941332i	$0.390424\pi$
$12$	−1.27807	−	1.16899i	−0.368948	−	0.337458i
$13$	−0.674569	−	2.29737i	−0.187092	−	0.637176i	−0.998603	−	0.0528393i	$-0.983173\pi$
$13$	−0.674569	−	2.29737i	−0.187092	−	0.637176i	0.811511	−	0.584337i	$-0.198645\pi$
$14$	1.46820	+	2.20100i	0.392393	+	0.588241i
$15$	3.91547	−	0.0812502i	1.01097	−	0.0209787i
$16$	0.235759	+	0.971812i	0.0589397	+	0.242953i
$17$	−3.42973	−	1.37306i	−0.831832	−	0.333015i	−0.0836386	−	0.996496i	$-0.526654\pi$
$17$	−3.42973	−	1.37306i	−0.831832	−	0.333015i	−0.748193	+	0.663481i	$0.769078\pi$
$18$	−2.65807	−	1.39093i	−0.626512	−	0.327845i
$19$	−1.96633	−	4.91166i	−0.451108	−	1.12681i	−0.963416	−	0.268011i	$-0.913634\pi$
$19$	−1.96633	−	4.91166i	−0.451108	−	1.12681i	0.512308	−	0.858802i	$-0.328791\pi$
$20$	−1.90215	−	1.22244i	−0.425333	−	0.273345i
$21$	3.43378	+	3.03465i	0.749313	+	0.662216i
$22$	−0.0732469			−0.0156163
$23$	−4.78603	+	0.306526i	−0.997955	+	0.0639152i
$23$	−4.78603	+	0.306526i	−0.997955	+	0.0639152i
$24$	0.825440	+	1.52271i	0.168492	+	0.310822i
$25$	0.110476	−	0.0212924i	0.0220951	−	0.00425849i
$26$	−0.113928	+	2.39165i	−0.0223432	+	0.469041i
$27$	−5.06708	−	1.15096i	−0.975160	−	0.221503i
$28$	−0.667577	−	2.56014i	−0.126160	−	0.483822i
$29$	1.40570	−	0.202109i	0.261032	−	0.0375307i	−0.0105562	−	0.999944i	$-0.503360\pi$
$29$	1.40570	−	0.202109i	0.261032	−	0.0375307i	0.271588	+	0.962414i	$0.412451\pi$
$30$	−3.72670	−	1.20384i	−0.680399	−	0.219791i
$31$	10.3681	−	0.493895i	1.86217	−	0.0887061i	0.913856	−	0.406039i	$-0.133090\pi$
$31$	10.3681	−	0.493895i	1.86217	−	0.0887061i	0.948314	+	0.317333i	$0.102787\pi$
$32$	0.0950560	−	0.995472i	0.0168037	−	0.175976i
$33$	−0.122644	+	0.0324616i	−0.0213496	+	0.00565083i
$34$	2.79201	+	2.41929i	0.478827	+	0.414906i
$35$	5.08710	+	3.14785i	0.859878	+	0.532083i
$36$	2.05695	+	2.18380i	0.342824	+	0.363966i
$37$	−4.91757	+	6.90576i	−0.808444	+	1.13530i	0.179993	+	0.983668i	$0.442393\pi$
$37$	−4.91757	+	6.90576i	−0.808444	+	1.13530i	−0.988437	+	0.151633i	$0.951547\pi$
$38$	0.251739	+	5.28465i	0.0408374	+	0.857283i
$39$	0.869169	+	4.05505i	0.139178	+	0.649327i
$40$	1.39771	+	1.77733i	0.220997	+	0.281021i
$41$	−0.0838187	+	0.183537i	−0.0130903	+	0.0286637i	−0.916064	−	0.401032i	$-0.868652\pi$
$41$	−0.0838187	+	0.183537i	−0.0130903	+	0.0286637i	0.902974	+	0.429695i	$0.141379\pi$
$42$	−2.25239	−	3.99083i	−0.347551	−	0.615799i
$43$	6.07857	+	3.90646i	0.926974	+	0.595730i	0.914673	−	0.404194i	$-0.132448\pi$
$43$	6.07857	+	3.90646i	0.926974	+	0.595730i	0.0123008	+	0.999924i	$0.496084\pi$
$44$	0.0692184	+	0.0239567i	0.0104351	+	0.00361161i
$45$	−6.77348	−	0.364110i	−1.00973	−	0.0542784i
$46$	4.62305	+	1.27569i	0.681632	+	0.188090i
$47$	−2.70040	−	4.67723i	−0.393894	−	0.682244i	0.599066	−	0.800700i	$-0.295539\pi$
$47$	−2.70040	−	4.67723i	−0.393894	−	0.682244i	−0.992959	+	0.118456i	$0.962205\pi$
$48$	−0.282012	−	1.70894i	−0.0407049	−	0.246664i
$49$	1.88166	+	6.74236i	0.268808	+	0.963194i
$50$	−0.111364	−	0.0160117i	−0.0157492	−	0.00226439i
$51$	5.74711	+	2.81349i	0.804757	+	0.393967i
$52$	0.889894	−	2.22285i	0.123406	−	0.308253i
$53$	6.79062	+	7.12179i	0.932763	+	0.978254i	0.999810	−	0.0194962i	$-0.00620623\pi$
$53$	6.79062	+	7.12179i	0.932763	+	0.978254i	−0.0670470	+	0.997750i	$0.521358\pi$
$54$	4.41195	+	2.74494i	0.600390	+	0.373539i
$55$	−0.150651	+	0.0688000i	−0.0203138	+	0.00927699i
$56$	−0.206481	+	2.63768i	−0.0275922	+	0.352475i
$57$	2.76356	+	8.73701i	0.366042	+	1.15725i
$58$	−1.39449	−	0.268766i	−0.183106	−	0.0352907i
$59$	1.13797	−	4.69077i	0.148151	−	0.610686i	−0.848520	−	0.529163i	$-0.822506\pi$
$59$	1.13797	−	4.69077i	0.148151	−	0.610686i	0.996671	−	0.0815239i	$-0.0259787\pi$
$60$	3.12799	+	2.35652i	0.403822	+	0.304225i
$61$	−3.81051	+	7.39137i	−0.487886	+	0.946368i	0.508470	+	0.861080i	$0.330211\pi$
$61$	−3.81051	+	7.39137i	−0.487886	+	0.946368i	−0.996356	+	0.0852878i	$0.972819\pi$
$62$	−9.95942	−	2.92435i	−1.26485	−	0.371393i
$63$	−5.54004	−	5.68401i	−0.697980	−	0.716118i
$64$	−0.415415	+	0.909632i	−0.0519269	+	0.113704i
$65$	2.01213	+	5.02605i	0.249573	+	0.623404i
$66$	0.126516	+	0.00943677i	0.0155730	+	0.00116159i
$67$	−5.76631	+	1.11136i	−0.704466	+	0.135775i	−0.528889	−	0.848691i	$-0.677391\pi$
$67$	−5.76631	+	1.11136i	−0.704466	+	0.135775i	−0.175577	+	0.984466i	$0.556179\pi$
$68$	−1.84718	−	3.19941i	−0.224004	−	0.387986i
$69$	8.30617	+	0.0871591i	0.999945	+	0.0104927i
$70$	−3.77776	−	4.63855i	−0.451528	−	0.554412i
$71$	−0.362642	+	0.314231i	−0.0430377	+	0.0372924i	−0.676114	−	0.736797i	$-0.736337\pi$
$71$	−0.362642	+	0.314231i	−0.0430377	+	0.0372924i	0.633076	+	0.774089i	$0.281792\pi$
$72$	−1.22957	−	2.73645i	−0.144906	−	0.322494i
$73$	−2.33898	+	2.97425i	−0.273757	+	0.348110i	−0.903419	−	0.428759i	$-0.858951\pi$
$73$	−2.33898	+	2.97425i	−0.273757	+	0.348110i	0.629662	+	0.776869i	$0.283193\pi$
$74$	6.90576	−	4.91757i	0.802779	−	0.571656i
$75$	−0.193563	+	0.0225443i	−0.0223507	+	0.00260319i
$76$	1.49055	−	5.07633i	0.170977	−	0.582295i
$77$	−0.184190	−	0.0602469i	−0.0209904	−	0.00686577i
$78$	0.504911	−	4.11630i	0.0571699	−	0.466079i
$79$	6.33409	+	6.03954i	0.712641	+	0.679501i	0.956969	−	0.290191i	$-0.0937189\pi$
$79$	6.33409	+	6.03954i	0.712641	+	0.679501i	−0.244328	+	0.969693i	$0.578567\pi$
$80$	−0.739529	−	2.13673i	−0.0826818	−	0.238893i
$81$	8.60384	+	2.64082i	0.955982	+	0.293424i
$82$	0.139238	−	0.146029i	0.0153763	−	0.0161262i
$83$	2.69785	+	5.90748i	0.296128	+	0.648430i	0.997955	−	0.0639174i	$-0.0203594\pi$
$83$	2.69785	+	5.90748i	0.296128	+	0.648430i	−0.701827	+	0.712347i	$0.747632\pi$
$84$	0.823237	+	4.50802i	0.0898225	+	0.491866i
$85$	8.01491	+	2.35339i	0.869339	+	0.255261i
$86$	−4.46658	−	5.67972i	−0.481644	−	0.612460i
$87$	−2.45404	+	0.167990i	−0.263101	+	0.0180104i
$88$	−0.0575760	−	0.0452782i	−0.00613762	−	0.00482668i
$89$	−0.0393314	+	0.825667i	−0.00416912	+	0.0875206i	−0.999993	−	0.00377594i	$-0.998798\pi$
$89$	−0.0393314	+	0.825667i	−0.00416912	+	0.0875206i	0.995824	+	0.0912965i	$0.0291011\pi$
$90$	6.28185	+	2.55947i	0.662165	+	0.269792i
$91$	−2.25366	+	5.92045i	−0.236248	+	0.620632i
$92$	−3.95155	−	2.71758i	−0.411978	−	0.283327i
$93$	−17.9720	−	0.482697i	−1.86361	−	0.0500533i
$94$	1.02211	+	5.30320i	0.105422	+	0.546983i
$95$	5.48158	+	10.6328i	0.562398	+	1.09090i
$96$	−0.292437	+	1.70718i	−0.0298468	+	0.174239i
$97$	17.3674	+	7.93144i	1.76340	+	0.805316i	0.983856	+	0.178964i	$0.0572747\pi$
$97$	17.3674	+	7.93144i	1.76340	+	0.805316i	0.779541	+	0.626352i	$0.215453\pi$
$98$	0.427043	−	6.98696i	0.0431378	−	0.705790i
$99$	0.216020	−	0.0402684i	0.0217108	−	0.00404713i
$100$	0.100002	+	0.0515545i	0.0100002	+	0.00515545i
$101$	−0.539211	−	0.0514884i	−0.0536535	−	0.00512329i	0.0681947	−	0.997672i	$-0.478276\pi$
$101$	−0.539211	−	0.0514884i	−0.0536535	−	0.00512329i	−0.121848	+	0.992549i	$0.538882\pi$
$102$	−4.51083	−	4.53844i	−0.446638	−	0.449373i
$103$	0.724792	−	3.76058i	0.0714159	−	0.370541i	−0.928584	−	0.371122i	$-0.878973\pi$
$103$	0.724792	−	3.76058i	0.0714159	−	0.370541i	1.00000		0.000581665i	$0.000185150\pi$
$104$	−1.56797	+	1.80954i	−0.153752	+	0.177440i
$105$	−8.38116	−	6.09252i	−0.817918	−	0.594569i
$106$	−4.08783	−	8.95109i	−0.397045	−	0.869407i
$107$	−8.12333	+	15.7571i	−0.785312	+	1.52329i	0.0655173	+	0.997851i	$0.479130\pi$
$107$	−8.12333	+	15.7571i	−0.785312	+	1.52329i	−0.850830	+	0.525442i	$0.823900\pi$
$108$	−3.27152	−	4.03698i	−0.314802	−	0.388458i
$109$	−4.39236	−	1.75844i	−0.420712	−	0.168428i	0.151640	−	0.988436i	$-0.451545\pi$
$109$	−4.39236	−	1.75844i	−0.420712	−	0.168428i	−0.572352	+	0.820008i	$0.693969\pi$
$110$	0.164868	−	0.0157429i	0.0157195	−	0.00150103i
$111$	9.38359	−	11.2944i	0.890651	−	1.07202i
$112$	1.05783	−	2.42508i	0.0999551	−	0.229148i
$113$	6.33240	−	5.48706i	0.595702	−	0.516179i	−0.304006	−	0.952670i	$-0.598324\pi$
$113$	6.33240	−	5.48706i	0.595702	−	0.516179i	0.899709	+	0.436491i	$0.143779\pi$
$114$	0.246031	−	9.16036i	0.0230429	−	0.857946i
$115$	10.7067	−	1.71860i	0.998408	−	0.160261i
$116$	1.22989	+	0.710078i	0.114192	+	0.0659291i
$117$	−0.978843	−	7.11607i	−0.0904940	−	0.657881i
$118$	−2.60958	+	4.06059i	−0.240232	+	0.373808i
$119$	5.03103	+	8.38016i	0.461194	+	0.768208i
$120$	−2.18522	−	3.24998i	−0.199482	−	0.296681i
$121$	−8.64237	+	6.79643i	−0.785670	+	0.617857i
$122$	6.01842	−	5.73855i	0.544882	−	0.519544i
$123$	0.168422	−	0.306217i	0.0151861	−	0.0276106i
$124$	8.45520	+	6.02092i	0.759300	+	0.540695i
$125$	10.6034	−	3.11344i	0.948396	−	0.278474i
$126$	3.37629	+	7.18336i	0.300784	+	0.639945i
$127$	8.62984	−	9.95937i	0.765774	−	0.883751i	−0.230223	−	0.973138i	$-0.573945\pi$
$127$	8.62984	−	9.95937i	0.765774	−	0.883751i	0.995997	+	0.0893873i	$0.0284909\pi$
$128$	0.690079	−	0.723734i	0.0609949	−	0.0639697i
$129$	−9.99594	−	7.53058i	−0.880094	−	0.663031i
$130$	−0.257601	−	5.40772i	−0.0225931	−	0.474288i
$131$	−2.37144	−	9.77520i	−0.207193	−	0.854063i	−0.976558	−	0.215253i	$-0.930942\pi$
$131$	−2.37144	−	9.77520i	−0.207193	−	0.854063i	0.769365	−	0.638810i	$-0.220573\pi$
$132$	−0.116471	−	0.0502971i	−0.0101375	−	0.00437780i
$133$	−3.71368	+	13.4961i	−0.322017	+	1.17026i
$134$	5.81266	+	0.835734i	0.502137	+	0.0721964i
$135$	11.6526	+	1.50157i	1.00290	+	0.129235i
$136$	0.699163	+	3.62760i	0.0599528	+	0.311064i
$137$	3.08646	+	1.78197i	0.263694	+	0.152244i	0.626019	−	0.779808i	$-0.284683\pi$
$137$	3.08646	+	1.78197i	0.263694	+	0.152244i	−0.362324	+	0.932052i	$0.618017\pi$
$138$	−7.82083	−	2.79905i	−0.665753	−	0.238271i
$139$			0.611040i			0.0518278i	0.999664	+	0.0259139i	$0.00824957\pi$
$139$			0.611040i			0.0518278i	−0.999664	+	0.0259139i	$0.991750\pi$
$140$	2.05286	+	5.61901i	0.173499	+	0.474893i
$141$	4.06168	+	8.42666i	0.342055	+	0.709653i
$142$	0.445472	−	0.178340i	0.0373832	−	0.0149660i
$143$	−0.101730	−	0.142860i	−0.00850709	−	0.0119465i
$144$	0.266935	+	2.98810i	0.0222446	+	0.249008i
$145$	−3.12058	+	0.757044i	−0.259150	+	0.0628691i
$146$	3.18312	−	2.04567i	0.263437	−	0.169300i
$147$	−2.38144	−	11.8882i	−0.196418	−	0.980520i
$148$	−8.13433	+	2.38846i	−0.668638	+	0.196330i
$149$	−0.452745	+	2.34907i	−0.0370904	+	0.192443i	−0.995748	−	0.0921189i	$-0.970636\pi$
$149$	−0.452745	+	2.34907i	−0.0370904	+	0.192443i	0.958658	+	0.284562i	$0.0918481\pi$
$150$	0.190290	+	0.0420037i	0.0155371	+	0.00342959i
$151$	2.68752	−	11.0781i	0.218707	−	0.901524i	−0.751594	−	0.659626i	$-0.770715\pi$
$151$	2.68752	−	11.0781i	0.218707	−	0.901524i	0.970302	−	0.241898i	$-0.0777701\pi$
$152$	−3.06887	+	4.30963i	−0.248918	+	0.349557i
$153$	−9.56424	−	5.60003i	−0.773223	−	0.452736i
$154$	0.154355	+	0.117176i	0.0124383	+	0.00944232i
$155$	−23.2309	+	3.34010i	−1.86595	+	0.268283i
$156$	−1.82345	+	3.72477i	−0.145993	+	0.298220i
$157$	−10.3231	+	13.1269i	−0.823873	+	1.04764i	0.174146	+	0.984720i	$0.444283\pi$
$157$	−10.3231	+	13.1269i	−0.823873	+	1.04764i	−0.998019	+	0.0629193i	$0.979959\pi$
$158$	−4.01038	−	7.77905i	−0.319049	−	0.618868i
$159$	−10.8116	−	13.1760i	−0.857414	−	1.04493i
$160$			2.26109i			0.178755i
$161$	10.5761	+	7.01045i	0.833512	+	0.552501i
$162$	−7.26691	−	5.30962i	−0.570942	−	0.417163i
$163$	−2.33906	+	6.75826i	−0.183209	+	0.529348i	−0.998784	−	0.0493040i	$-0.984300\pi$
$163$	−2.33906	+	6.75826i	−0.183209	+	0.529348i	0.815575	+	0.578652i	$0.196421\pi$
$164$	−0.179341	+	0.0924568i	−0.0140042	+	0.00721967i
$165$	0.269076	−	0.0994259i	0.0209476	−	0.00774029i
$166$	−0.617328	−	6.46495i	−0.0479139	−	0.501778i
$167$	0.196421	+	1.36614i	0.0151995	+	0.105715i	0.996009	−	0.0892544i	$-0.0284484\pi$
$167$	0.196421	+	1.36614i	0.0151995	+	0.105715i	−0.980809	+	0.194969i	$0.937539\pi$
$168$	0.696470	−	4.52934i	0.0537339	−	0.349446i
$169$	6.11343	−	3.92886i	0.470263	−	0.302220i
$170$	−6.80438	−	4.84538i	−0.521872	−	0.371623i
$171$	−3.64773	−	15.4471i	−0.278949	−	1.18127i
$172$	2.36327	+	6.82821i	0.180197	+	0.520646i
$173$	−19.0258	−	3.66693i	−1.44651	−	0.278791i	−0.595250	−	0.803541i	$-0.702947\pi$
$173$	−19.0258	−	3.66693i	−1.44651	−	0.278791i	−0.851257	+	0.524749i	$0.824159\pi$
$174$	2.37401	+	0.643886i	0.179973	+	0.0488129i
$175$	−0.266871	−	0.131862i	−0.0201735	−	0.00996785i
$176$	0.0396003	+	0.0616192i	0.00298498	+	0.00464472i
$177$	−2.56990	+	7.95554i	−0.193165	+	0.597975i
$178$	0.307218	−	0.767392i	0.0230269	−	0.0575185i
$179$	10.3030	−	7.33672i	0.770081	−	0.548372i	−0.126123	−	0.992015i	$-0.540253\pi$
$179$	10.3030	−	7.33672i	0.770081	−	0.548372i	0.896204	+	0.443643i	$0.146314\pi$
$180$	−5.09924	−	4.47330i	−0.380075	−	0.333420i
$181$	−14.2678	+	22.2012i	−1.06052	+	1.65020i	−0.366190	+	0.930540i	$0.619338\pi$
$181$	−14.2678	+	22.2012i	−1.06052	+	1.65020i	−0.694328	+	0.719658i	$0.744298\pi$
$182$	4.06610	−	4.85773i	0.301399	−	0.360079i
$183$	7.53399	−	12.2758i	0.556928	−	0.907455i
$184$	2.84539	+	3.86054i	0.209765	+	0.284603i
$185$	9.58445	−	16.6008i	0.704663	−	1.22051i
$186$	16.8257	+	6.33421i	1.23372	+	0.464447i
$187$	−0.270294	−	0.0128757i	−0.0197659	−	0.000941565i
$188$	0.768614	−	5.34582i	0.0560569	−	0.389884i
$189$	8.83675	+	10.5315i	0.642779	+	0.766052i
$190$	−1.70245	−	11.8408i	−0.123509	−	0.859024i
$191$	3.20997	−	0.778731i	0.232266	−	0.0563470i	−0.117937	−	0.993021i	$-0.537628\pi$
$191$	3.20997	−	0.778731i	0.232266	−	0.0563470i	0.350202	+	0.936674i	$0.386113\pi$
$192$	0.834719	−	1.51764i	0.0602407	−	0.109527i
$193$	2.02387	+	0.193256i	0.145681	+	0.0139109i	0.167642	−	0.985848i	$-0.446385\pi$
$193$	2.02387	+	0.193256i	0.145681	+	0.0139109i	−0.0219606	+	0.999759i	$0.506991\pi$
$194$	−13.8181	−	13.1756i	−0.992083	−	0.945950i
$195$	−2.82792	−	8.94048i	−0.202511	−	0.640241i
$196$	−2.68877	+	6.46301i	−0.192055	+	0.461644i
$197$	−4.64691	−	15.8259i	−0.331078	−	1.12755i	−0.941931	−	0.335805i	$-0.890992\pi$
$197$	−4.64691	−	15.8259i	−0.331078	−	1.12755i	0.610853	−	0.791744i	$-0.290827\pi$
$198$	−0.217309	−	0.0325994i	−0.0154435	−	0.00231674i
$199$	−16.3608	+	0.779361i	−1.15979	+	0.0552475i	−0.618636	−	0.785678i	$-0.712314\pi$
$199$	−16.3608	+	0.779361i	−1.15979	+	0.0552475i	−0.541151	+	0.840925i	$0.682011\pi$
$200$	−0.0776400	−	0.0814265i	−0.00548997	−	0.00575772i
$201$	10.1030	−	1.17670i	0.712614	−	0.0829984i
$202$	0.492715	+	0.225015i	0.0346673	+	0.0158320i
$203$	−3.28559	−	1.82285i	−0.230603	−	0.127939i
$204$	2.77835	+	5.76418i	0.194524	+	0.403573i
$205$	0.149215	−	0.431130i	0.0104217	−	0.0301114i
$206$	−1.91489	+	3.31669i	−0.133417	+	0.231085i
$207$	−14.3356	−	1.22067i	−0.996394	−	0.0848425i
$208$	2.07358	−	1.19718i	0.143777	−	0.0830095i
$209$	−0.253774	−	0.292870i	−0.0175539	−	0.0202583i
$210$	5.92754	+	8.49865i	0.409039	+	0.586462i
$211$	2.30753	−	16.0492i	0.158857	−	1.10487i	−0.741888	−	0.670524i	$-0.766069\pi$
$211$	2.30753	−	16.0492i	0.158857	−	1.10487i	0.900744	−	0.434349i	$-0.143022\pi$
$212$	0.935384	+	9.79579i	0.0642425	+	0.672778i
$213$	0.666859	−	0.496036i	0.0456924	−	0.0339878i
$214$	12.8302	−	12.2336i	0.877054	−	0.836269i
$215$	−14.5216	−	7.48638i	−0.990362	−	0.510567i
$216$	1.77122	+	4.88495i	0.120516	+	0.332379i
$217$	−22.6391	−	15.5455i	−1.53684	−	1.05530i
$218$	3.57565	+	3.09832i	0.242174	+	0.209845i
$219$	4.42319	−	4.83594i	0.298892	−	0.326783i
$220$	−0.160949	−	0.0390458i	−0.0108512	−	0.00263247i
$221$	−0.840831	+	8.80558i	−0.0565604	+	0.592328i
$222$	−12.5616	+	7.60419i	−0.843076	+	0.510360i
$223$	0.912756	−	3.10856i	0.0611227	−	0.208165i	−0.923270	−	0.384152i	$-0.874494\pi$
$223$	0.912756	−	3.10856i	0.0611227	−	0.208165i	0.984392	+	0.175988i	$0.0563119\pi$
$224$	−1.79281	+	1.94572i	−0.119787	+	0.130004i
$225$	0.337236	−	0.0140020i	0.0224824	−	0.000933469i
$226$	−7.77877	+	3.11415i	−0.517436	+	0.207150i
$227$	17.6584	−	9.10354i	1.17203	−	0.604223i	0.241486	−	0.970404i	$-0.422365\pi$
$227$	17.6584	−	9.10354i	1.17203	−	0.604223i	0.930544	+	0.366181i	$0.119335\pi$
$228$	−3.22856	+	8.57608i	−0.213817	+	0.567964i
$229$	−15.5189	+	8.95982i	−1.02552	+	0.592081i	−0.915697	−	0.401870i	$-0.868360\pi$
$229$	−15.5189	+	8.95982i	−1.02552	+	0.592081i	−0.109818	+	0.993952i	$0.535027\pi$
$230$	−10.6800	−	1.87775i	−0.704216	−	0.123815i
$231$	0.310381	+	0.127792i	0.0204216	+	0.00840808i
$232$	−0.930004	−	1.07328i	−0.0610578	−	0.0704644i
$233$	−13.0744	−	0.622811i	−0.856533	−	0.0408017i	−0.385280	−	0.922800i	$-0.625895\pi$
$233$	−13.0744	−	0.622811i	−0.856533	−	0.0408017i	−0.471253	+	0.881998i	$0.656198\pi$
$234$	−1.40243	+	7.04484i	−0.0916799	+	0.460536i
$235$	7.08346	+	9.94733i	0.462074	+	0.648892i
$236$	3.79415	−	2.98375i	0.246978	−	0.194226i
$237$	−10.1625	−	11.2479i	−0.660123	−	0.730627i
$238$	−2.01344	−	9.56475i	−0.130512	−	0.619990i
$239$	−17.6097	+	8.04210i	−1.13908	+	0.520200i	−0.893450	−	0.449163i	$-0.851722\pi$
$239$	−17.6097	+	8.04210i	−1.13908	+	0.520200i	−0.245630	+	0.969364i	$0.578995\pi$
$240$	1.00207	+	3.78595i	0.0646832	+	0.244382i
$241$	16.8671	−	5.83777i	1.08651	−	0.376044i	0.275632	−	0.961263i	$-0.411113\pi$
$241$	16.8671	−	5.83777i	1.08651	−	0.376044i	0.810875	+	0.585220i	$0.198992\pi$
$242$	10.3899	−	3.59599i	0.667891	−	0.231159i
$243$	−14.5208	−	5.66984i	−0.931508	−	0.363720i
$244$	−7.56431	+	3.45450i	−0.484255	+	0.221152i
$245$	−5.68445	−	14.7716i	−0.363166	−	0.943722i
$246$	−0.259313	+	0.234289i	−0.0165332	+	0.0149378i
$247$	−9.95748	+	7.83065i	−0.633579	+	0.498252i
$248$	−6.02092	−	8.45520i	−0.382329	−	0.536906i
$249$	−3.89879	−	10.5513i	−0.247076	−	0.668660i
$250$	−11.0385	−	0.525829i	−0.698137	−	0.0332564i
$251$	−6.45341	−	7.44763i	−0.407336	−	0.470090i	0.514602	−	0.857429i	$-0.327940\pi$
$251$	−6.45341	−	7.44763i	−0.407336	−	0.470090i	−0.921937	+	0.387339i	$0.873394\pi$
$252$	−0.841147	−	7.89256i	−0.0529873	−	0.497184i
$253$	−0.323938	+	0.135875i	−0.0203658	+	0.00854237i
$254$	−11.4126	+	6.58906i	−0.716090	+	0.413435i
$255$	−13.5406	−	5.09750i	−0.847944	−	0.319218i
$256$	−0.888835	+	0.458227i	−0.0555522	+	0.0286392i
$257$	16.4835	−	6.59901i	1.02821	−	0.411635i	0.204636	−	0.978838i	$-0.434399\pi$
$257$	16.4835	−	6.59901i	1.02821	−	0.411635i	0.823578	+	0.567203i	$0.191975\pi$
$258$	6.98316	+	10.3858i	0.434753	+	0.646589i
$259$	21.4104	−	6.68586i	1.33038	−	0.415439i
$260$	−1.52526	+	5.19455i	−0.0945925	+	0.322153i
$261$	4.26039	+	0.0260046i	0.263711	+	0.00160964i
$262$	−0.956144	+	10.0132i	−0.0590708	+	0.618617i
$263$	30.4472	+	7.38642i	1.87746	+	0.455466i	0.999720	−	0.0236755i	$-0.00753686\pi$
$263$	30.4472	+	7.38642i	1.87746	+	0.455466i	0.877738	+	0.479142i	$0.159052\pi$
$264$	0.0936148	+	0.0856248i	0.00576159	+	0.00526984i
$265$	−16.8153	−	14.5706i	−1.03296	−	0.895063i
$266$	7.92357	−	11.5392i	0.485826	−	0.707514i
$267$	0.174310	−	1.42107i	0.0106676	−	0.0869680i
$268$	−5.21962	−	2.69090i	−0.318839	−	0.164373i
$269$	−17.4985	+	16.6848i	−1.06690	+	1.01729i	−0.0670952	+	0.997747i	$0.521373\pi$
$269$	−17.4985	+	16.6848i	−1.06690	+	1.01729i	−0.999809	+	0.0195445i	$0.993778\pi$
$270$	−10.5206	−	5.23018i	−0.640263	−	0.318298i
$271$	−0.478687	−	5.01303i	−0.0290781	−	0.304520i	−0.998298	−	0.0583225i	$-0.981425\pi$
$271$	−0.478687	−	5.01303i	−0.0290781	−	0.304520i	0.969220	−	0.246198i	$-0.0791812\pi$
$272$	0.525763	−	3.65676i	0.0318791	−	0.221724i
$273$	4.65540	−	9.93576i	0.281758	−	0.601340i
$274$	−2.33388	−	2.69345i	−0.140995	−	0.162717i
$275$	0.00713685	−	0.00412046i	0.000430368	−	0.000248473i
$276$	6.47521	+	5.20304i	0.389762	+	0.313186i
$277$	2.21262	−	3.83237i	0.132943	−	0.230265i	−0.791867	−	0.610694i	$-0.790890\pi$
$277$	2.21262	−	3.83237i	0.132943	−	0.230265i	0.924810	+	0.380429i	$0.124224\pi$
$278$	0.199852	−	0.577434i	0.0119863	−	0.0346322i
$279$	30.9800	+	3.14916i	1.85472	+	0.188535i
$280$	−0.102160	−	5.98140i	−0.00610521	−	0.357457i
$281$	13.9200	+	6.35705i	0.830397	+	0.379230i	0.784814	−	0.619731i	$-0.212758\pi$
$281$	13.9200	+	6.35705i	0.830397	+	0.379230i	0.0455828	+	0.998961i	$0.485486\pi$
$282$	−1.08220	−	9.29164i	−0.0644441	−	0.553309i
$283$	−1.04466	−	1.09560i	−0.0620984	−	0.0651269i	0.691952	−	0.721944i	$-0.256751\pi$
$283$	−1.04466	−	1.09560i	−0.0620984	−	0.0651269i	−0.754050	+	0.656817i	$0.771903\pi$
$284$	−0.479301	+	0.0228319i	−0.0284413	+	0.00135483i
$285$	−8.09820	−	19.0717i	−0.479696	−	1.12971i
$286$	0.0494101	+	0.168275i	0.00292168	+	0.00995033i
$287$	0.470246	−	0.252685i	0.0277577	−	0.0149155i
$288$	0.725059	−	2.91106i	0.0427245	−	0.171536i
$289$	−2.42571	−	2.31291i	−0.142689	−	0.136054i
$290$	3.19655	+	0.305234i	0.187708	+	0.0179239i
$291$	−28.9761	−	15.9371i	−1.69861	−	0.934252i
$292$	−3.67712	+	0.892060i	−0.215187	+	0.0522038i
$293$	3.13687	+	21.8174i	0.183258	+	1.27459i	0.848995	+	0.528402i	$0.177208\pi$
$293$	3.13687	+	21.8174i	0.183258	+	1.27459i	−0.665736	+	0.746187i	$0.731882\pi$
$294$	−1.63778	+	12.0132i	−0.0955170	+	0.700626i
$295$	−1.55321	+	10.8028i	−0.0904312	+	0.628963i
$296$	8.46814	+	0.403387i	0.492201	+	0.0234464i
$297$	−0.378308	+	0.0417229i	−0.0219517	+	0.00242101i
$298$	1.19615	−	2.07179i	0.0692911	−	0.120016i
$299$	3.93271	+	10.7885i	0.227434	+	0.623915i
$300$	−0.166086	−	0.101931i	−0.00958900	−	0.00588501i
$301$	−6.56022	−	17.9563i	−0.378125	−	1.03499i
$302$	−6.16301	+	9.58983i	−0.354641	+	0.551833i
$303$	0.924721	+	0.158403i	0.0531238	+	0.00910001i
$304$	4.30963	−	3.06887i	0.247174	−	0.176012i
$305$	6.98826	−	17.4558i	0.400147	−	0.999518i
$306$	7.20662	+	8.42019i	0.411975	+	0.481350i
$307$	11.1996	+	17.4269i	0.639193	+	0.994604i	0.998123	+	0.0612392i	$0.0195053\pi$
$307$	11.1996	+	17.4269i	0.639193	+	0.994604i	−0.358930	+	0.933364i	$0.616858\pi$
$308$	−0.107541	−	0.161216i	−0.00612773	−	0.00918614i
$309$	−1.73639	+	6.40209i	−0.0987799	+	0.364202i
$310$	23.0457	+	4.44169i	1.30891	+	0.252271i
$311$	10.6313	+	30.7172i	0.602847	+	1.74181i	0.668232	+	0.743953i	$0.267051\pi$
$311$	10.6313	+	30.7172i	0.602847	+	1.74181i	−0.0653844	+	0.997860i	$0.520827\pi$
$312$	2.94142	−	2.92352i	0.166525	−	0.165512i
$313$	28.2045	+	20.0843i	1.59421	+	1.13523i	0.916596	+	0.399816i	$0.130926\pi$
$313$	28.2045	+	20.0843i	1.59421	+	1.13523i	0.677615	+	0.735417i	$0.263014\pi$
$314$	14.0487	−	9.02856i	0.792815	−	0.509511i
$315$	13.6915	+	11.6031i	0.771426	+	0.653761i
$316$	1.24553	+	8.66287i	0.0700667	+	0.487325i
$317$	−0.749875	−	7.85304i	−0.0421172	−	0.441071i	−0.991795	−	0.127841i	$-0.959195\pi$
$317$	−0.749875	−	7.85304i	−0.0421172	−	0.441071i	0.949677	−	0.313229i	$-0.101411\pi$
$318$	5.90750	+	15.9875i	0.331276	+	0.896532i
$319$	0.0924584	−	0.0476656i	0.00517668	−	0.00266876i
$320$	0.739529	−	2.13673i	0.0413409	−	0.119447i
$321$	16.0611	−	26.1699i	0.896444	−	1.46066i
$322$	−7.70152	−	10.0840i	−0.429189	−	0.561958i
$323$			19.5456i			1.08754i
$324$	5.13063	+	7.39436i	0.285035	+	0.410798i
$325$	−0.123440	−	0.239440i	−0.00684722	−	0.0132818i
$326$	4.42082	−	5.62153i	0.244847	−	0.311348i
$327$	7.36016	+	3.60315i	0.407018	+	0.199255i
$328$	0.199717	−	0.0287150i	0.0110275	−	0.00158552i
$329$	−1.79173	+	14.1764i	−0.0987813	+	0.781570i
$330$	−0.286796	+	0.00595133i	−0.0157876	+	0.000327610i
$331$	7.17872	−	10.0811i	0.394578	−	0.554107i	−0.568724	−	0.822529i	$-0.692563\pi$
$331$	7.17872	−	10.0811i	0.394578	−	0.554107i	0.963302	+	0.268422i	$0.0865020\pi$
$332$	−1.53110	+	6.31129i	−0.0840302	+	0.346377i
$333$	−17.6630	+	18.2994i	−0.967924	+	1.00280i
$334$	0.261202	−	1.35524i	0.0142923	−	0.0741556i
$335$	12.7402	−	3.74086i	0.696072	−	0.204385i
$336$	−2.13957	+	4.05244i	−0.116723	+	0.221079i
$337$	−4.25142	+	2.73222i	−0.231589	+	0.148833i	−0.651289	−	0.758829i	$-0.725772\pi$
$337$	−4.25142	+	2.73222i	−0.231589	+	0.148833i	0.419700	+	0.907663i	$0.362135\pi$
$338$	−7.06220	+	1.71327i	−0.384133	+	0.0931896i
$339$	−11.6446	+	8.66170i	−0.632447	+	0.470439i
$340$	4.84538	+	6.80438i	0.262777	+	0.369019i
$341$	0.705833	−	0.282573i	0.0382230	−	0.0153022i
$342$	−1.60513	+	15.7906i	−0.0867956	+	0.853855i
$343$	6.82076	−	17.2185i	0.368286	−	0.929712i
$344$		−	7.22562i		−	0.389579i
$345$	−18.7146	+	1.58906i	−1.00756	+	0.0855522i
$346$	16.7801	+	9.68799i	0.902103	+	0.520829i
$347$	−5.31864	−	27.5957i	−0.285520	−	1.48142i	−0.787380	−	0.616468i	$-0.788563\pi$
$347$	−5.31864	−	27.5957i	−0.285520	−	1.48142i	0.501861	−	0.864948i	$-0.332649\pi$
$348$	−2.03285	−	1.38494i	−0.108972	−	0.0742404i
$349$	−12.5078	−	1.79835i	−0.669527	−	0.0962635i	−0.200835	−	0.979625i	$-0.564366\pi$
$349$	−12.5078	−	1.79835i	−0.669527	−	0.0962635i	−0.468692	+	0.883362i	$0.655275\pi$
$350$	0.209065	+	0.211895i	0.0111750	+	0.0113263i
$351$	0.773909	+	12.4174i	0.0413082	+	0.662790i
$352$	−0.0172686	−	0.0711822i	−0.000920420	−	0.00379402i
$353$	0.271550	+	5.70054i	0.0144532	+	0.303409i	0.994507	+	0.104675i	$0.0333801\pi$
$353$	0.271550	+	5.70054i	0.0144532	+	0.303409i	−0.980053	+	0.198734i	$0.936317\pi$
$354$	5.03055	−	6.67746i	0.267371	−	0.354903i
$355$	0.748715	−	0.785230i	0.0397377	−	0.0416757i
$356$	−0.541310	+	0.624705i	−0.0286894	+	0.0331093i
$357$	−7.61020	−	15.1228i	−0.402774	−	0.800385i
$358$	−12.1359	+	3.56343i	−0.641404	+	0.188333i
$359$	14.4466	+	10.2873i	0.762460	+	0.542945i	0.893840	−	0.448387i	$-0.148001\pi$
$359$	14.4466	+	10.2873i	0.762460	+	0.542945i	−0.131380	+	0.991332i	$0.541941\pi$
$360$	3.35571	+	5.89507i	0.176861	+	0.310697i
$361$	−6.50701	+	6.20442i	−0.342474	+	0.326549i
$362$	20.7444	−	16.3136i	1.09030	−	0.857422i
$363$	15.8032	−	10.6257i	0.829451	−	0.557705i
$364$	−5.43128	+	3.26067i	−0.284676	+	0.170905i
$365$	4.62542	−	7.19730i	0.242106	−	0.376724i
$366$	−11.1347	+	9.13654i	−0.582018	+	0.477575i
$367$	−29.1182	−	16.8114i	−1.51996	−	0.877549i	−0.999723	−	0.0235259i	$-0.992511\pi$
$367$	−29.1182	−	16.8114i	−1.51996	−	0.877549i	−0.520236	−	0.854023i	$-0.674156\pi$
$368$	−1.42623	−	4.57885i	−0.0743476	−	0.238689i
$369$	−0.330359	+	0.507215i	−0.0171978	+	0.0264045i
$370$	−14.4869	+	12.5530i	−0.753138	+	0.652597i
$371$	−2.91702	−	25.8712i	−0.151444	−	1.34316i
$372$	−13.8286	−	11.4890i	−0.716978	−	0.595676i
$373$	24.0780	−	2.29917i	1.24671	−	0.119046i	0.549243	−	0.835663i	$-0.314916\pi$
$373$	24.0780	−	2.29917i	1.24671	−	0.119046i	0.697467	+	0.716617i	$0.254310\pi$
$374$	0.251217	+	0.100572i	0.0129901	+	0.00520046i
$375$	−18.7159	+	4.01160i	−0.966483	+	0.207158i
$376$	−2.47479	+	4.80042i	−0.127627	+	0.247563i
$377$	−1.41256	−	3.09308i	−0.0727506	−	0.159302i
$378$	−4.90623	−	12.8425i	−0.252349	−	0.660545i
$379$	−3.65153	+	4.21409i	−0.187567	+	0.216463i	−0.841743	−	0.539879i	$-0.818470\pi$
$379$	−3.65153	+	4.21409i	−0.187567	+	0.216463i	0.654176	+	0.756342i	$0.273016\pi$
$380$	−2.26394	+	11.7464i	−0.116137	+	0.602578i
$381$	−16.1890	+	16.0905i	−0.829389	+	0.824342i
$382$	−3.28813	−	0.313978i	−0.168235	−	0.0160645i
$383$	−19.2370	−	9.91734i	−0.982963	−	0.506752i	−0.109680	−	0.993967i	$-0.534983\pi$
$383$	−19.2370	−	9.91734i	−0.982963	−	0.506752i	−0.873282	+	0.487214i	$0.838013\pi$
$384$	−1.28518	+	1.16117i	−0.0655842	+	0.0592555i
$385$	0.427533	+	0.0960185i	0.0217891	+	0.00489356i
$386$	−1.84935	−	0.844569i	−0.0941294	−	0.0429874i
$387$	16.2953	+	14.2950i	0.828338	+	0.726658i
$388$	8.74884	+	16.9704i	0.444155	+	0.861540i
$389$	6.63051	+	34.4023i	0.336180	+	1.74427i	0.619273	+	0.785176i	$0.287427\pi$
$389$	6.63051	+	34.4023i	0.336180	+	1.74427i	−0.283093	+	0.959092i	$0.591361\pi$
$390$	−0.251761	+	9.37369i	−0.0127484	+	0.474655i
$391$	16.8357	+	5.52018i	0.851416	+	0.279168i
$392$	4.65473	−	5.22814i	0.235099	−	0.264061i
$393$	2.83668	+	17.1898i	0.143092	+	0.867109i
$394$	−0.784818	+	16.4754i	−0.0395385	+	0.830016i
$395$	−15.5551	−	12.2327i	−0.782664	−	0.615494i
$396$	0.194695	+	0.101881i	0.00978380	+	0.00511973i
$397$	−0.100736	−	0.128097i	−0.00505582	−	0.00642900i	0.783519	−	0.621368i	$-0.213423\pi$
$397$	−0.100736	−	0.128097i	−0.00505582	−	0.00642900i	−0.788574	+	0.614939i	$0.789180\pi$
$398$	15.7159	+	4.61460i	0.787766	+	0.231309i
$399$	8.15324	−	22.8327i	0.408172	−	1.14307i
$400$	0.0467378	+	0.102342i	0.00233689	+	0.00511708i
$401$	1.37493	−	1.44198i	0.0686607	−	0.0720093i	−0.688508	−	0.725229i	$-0.741734\pi$
$401$	1.37493	−	1.44198i	0.0686607	−	0.0720093i	0.757168	+	0.653220i	$0.226582\pi$
$402$	−9.93225	−	2.19240i	−0.495376	−	0.109347i
$403$	−8.12867	−	23.4863i	−0.404918	−	1.16993i
$404$	−0.392021	−	0.373791i	−0.0195038	−	0.0185968i
$405$	−19.9335	−	4.09486i	−0.990505	−	0.203475i
$406$	2.50869	+	2.79720i	0.124504	+	0.138823i
$407$	−0.174947	+	0.595815i	−0.00867180	+	0.0295334i
$408$	−0.740269	−	6.35586i	−0.0366488	−	0.314662i
$409$	8.62042	−	6.13857i	0.426252	−	0.303533i	−0.346725	−	0.937967i	$-0.612706\pi$
$409$	8.62042	−	6.13857i	0.426252	−	0.303533i	0.772977	+	0.634434i	$0.218767\pi$
$410$	−0.282017	+	0.358614i	−0.0139279	+	0.0177107i
$411$	−5.10152	−	3.47556i	−0.251639	−	0.171437i
$412$	2.89436	−	2.50798i	0.142595	−	0.123559i
$413$	−9.90209	+	8.06453i	−0.487250	+	0.396830i
$414$	13.1479	+	5.84226i	0.646185	+	0.287131i
$415$	−7.34215	−	12.7170i	−0.360412	−	0.624252i
$416$	−2.35109	+	0.453136i	−0.115272	+	0.0222168i
$417$	0.0787234	−	1.05542i	0.00385510	−	0.0516842i
$418$	0.144028	+	0.359764i	0.00704463	+	0.0175966i
$419$	−0.908504	+	1.98935i	−0.0443833	+	0.0971860i	−0.930525	−	0.366229i	$-0.880649\pi$
$419$	−0.908504	+	1.98935i	−0.0443833	+	0.0971860i	0.886141	+	0.463415i	$0.153376\pi$
$420$	−2.82189	−	9.96994i	−0.137694	−	0.486483i
$421$	−15.7776	−	4.63273i	−0.768954	−	0.225785i	−0.126352	−	0.991985i	$-0.540327\pi$
$421$	−15.7776	−	4.63273i	−0.768954	−	0.225785i	−0.642602	+	0.766200i	$0.722145\pi$
$422$	−7.42980	+	14.4118i	−0.361677	+	0.701556i
$423$	−5.92990	−	15.0783i	−0.288321	−	0.733130i
$424$	2.31995	−	9.56296i	0.112667	−	0.464419i
$425$	−0.408137	−	0.0786620i	−0.0197976	−	0.00381567i
$426$	−0.792420	+	0.250646i	−0.0383929	+	0.0121438i
$427$	19.8543	−	9.48019i	0.960816	−	0.458779i
$428$	−16.1257	+	7.36438i	−0.779467	+	0.355971i
$429$	0.157308	+	0.259861i	0.00759491	+	0.0125462i
$430$	11.2743	+	11.8242i	0.543696	+	0.570212i
$431$	−12.8219	+	32.0276i	−0.617610	+	1.54272i	0.207793	+	0.978173i	$0.433372\pi$
$431$	−12.8219	+	32.0276i	−0.617610	+	1.54272i	−0.825404	+	0.564543i	$0.809052\pi$
$432$	−0.0760916	−	5.19560i	−0.00366096	−	0.249973i
$433$	−7.39114	−	1.06268i	−0.355195	−	0.0510694i	−0.0375923	−	0.999293i	$-0.511969\pi$
$433$	−7.39114	−	1.06268i	−0.355195	−	0.0510694i	−0.317603	+	0.948224i	$0.602878\pi$
$434$	16.3096	+	22.0951i	0.782884	+	1.06060i
$435$	5.48756	−	0.905566i	0.263108	−	0.0434186i
$436$	−2.36563	−	4.09740i	−0.113293	−	0.196230i
$437$	10.9165	+	22.9046i	0.522206	+	1.09568i
$438$	−5.76160	+	3.12328i	−0.275300	+	0.149236i
$439$	26.8291	+	9.28563i	1.28048	+	0.443179i	0.880806	−	0.473477i	$-0.157001\pi$
$439$	26.8291	+	9.28563i	1.28048	+	0.443179i	0.399676	+	0.916657i	$0.369123\pi$
$440$	0.139326	+	0.0895396i	0.00664212	+	0.00426863i
$441$	2.58174	+	20.8407i	0.122940	+	0.992414i
$442$	3.67461	−	8.04628i	0.174783	−	0.382722i
$443$	−3.02926	−	3.85202i	−0.143925	−	0.183015i	0.708746	−	0.705463i	$-0.249261\pi$
$443$	−3.02926	−	3.85202i	−0.143925	−	0.183015i	−0.852671	+	0.522448i	$0.825019\pi$
$444$	14.3578	−	3.07748i	0.681389	−	0.146051i
$445$	−0.0889316	−	1.86690i	−0.00421576	−	0.0884998i
$446$	−1.87927	+	2.63906i	−0.0889858	+	0.124963i
$447$	1.08465	−	3.99910i	0.0513021	−	0.189151i
$448$	2.33059	−	1.25234i	0.110110	−	0.0591673i
$449$	12.4196	+	10.7617i	0.586119	+	0.507875i	0.896681	−	0.442678i	$-0.145972\pi$
$449$	12.4196	+	10.7617i	0.586119	+	0.507875i	−0.310561	+	0.950553i	$0.600517\pi$
$450$	−0.323268	−	0.0970671i	−0.0152390	−	0.00457579i
$451$	−0.00140484	+	0.0147122i	−6.61515e−5	+	0.000692770i
$452$	8.36948	−	0.398688i	0.393667	−	0.0187527i
$453$	−6.06928	+	18.7885i	−0.285160	+	0.882759i
$454$	−19.6647	+	2.82735i	−0.922909	+	0.132694i
$455$	3.80017	−	13.8104i	0.178155	−	0.647442i
$456$	5.85595	−	7.04844i	0.274230	−	0.330073i
$457$	0.0213873	−	0.448975i	0.00100046	−	0.0210022i	−0.998312	−	0.0580804i	$-0.981502\pi$
$457$	0.0213873	−	0.448975i	0.00100046	−	0.0210022i	0.999312	+	0.0370782i	$0.0118051\pi$
$458$	17.5958	−	3.39131i	0.822198	−	0.158466i
$459$	15.7984	+	10.9049i	0.737405	+	0.508996i
$460$	9.47843	+	5.26755i	0.441934	+	0.245601i
$461$	−17.4040			−0.810586			−0.405293	−	0.914187i	$-0.632830\pi$
$461$	−17.4040			−0.810586			−0.405293	+	0.914187i	$0.632830\pi$
$462$	−0.251514	−	0.222279i	−0.0117015	−	0.0103414i
$463$	23.7053	+	15.2344i	1.10168	+	0.708005i	0.959464	−	0.281831i	$-0.0909419\pi$
$463$	23.7053	+	15.2344i	1.10168	+	0.708005i	0.142213	+	0.989836i	$0.454578\pi$
$464$	0.527818	+	1.31843i	0.0245034	+	0.0612064i
$465$	40.5560	−	2.77624i	1.88074	−	0.128745i
$466$	12.1516	+	4.86478i	0.562913	+	0.225356i
$467$	−8.25305	−	34.0195i	−0.381906	−	1.57424i	−0.760920	−	0.648846i	$-0.775252\pi$
$467$	−8.25305	−	34.0195i	−0.381906	−	1.57424i	0.379014	−	0.925391i	$-0.376263\pi$
$468$	3.62944	−	6.19869i	0.167771	−	0.286535i
$469$	13.9294	+	6.88259i	0.643199	+	0.317808i
$470$	−3.44042	−	11.7170i	−0.158695	−	0.540465i
$471$	19.5218	−	21.3435i	0.899517	−	0.983455i
$472$	−4.56136	+	1.57870i	−0.209954	+	0.0726657i
$473$	0.514335	+	0.124776i	0.0236492	+	0.00573722i
$474$	5.92472	+	13.9531i	0.272132	+	0.640885i
$475$	−0.321813	−	0.500751i	−0.0147658	−	0.0229760i
$476$	−1.22562	+	9.69723i	−0.0561760	+	0.444472i
$477$	16.9768	+	24.1512i	0.777314	+	1.10581i
$478$	19.2715	−	1.84021i	0.881460	−	0.0841692i
$479$	1.45389	+	1.14335i	0.0664300	+	0.0522412i	0.650822	−	0.759230i	$-0.274424\pi$
$479$	1.45389	+	1.14335i	0.0664300	+	0.0522412i	−0.584392	+	0.811472i	$0.698667\pi$
$480$	0.291307	−	3.90547i	0.0132963	−	0.178259i
$481$	19.1823	+	6.63907i	0.874640	+	0.302716i
$482$	−17.8488			−0.812990
$483$	−17.3644	−	13.4714i	−0.790107	−	0.612969i
$484$	−10.9946			−0.499756
$485$	−40.7962	−	14.1197i	−1.85246	−	0.641142i
$486$	11.8677	+	10.1073i	0.538331	+	0.458476i
$487$	−7.77878	−	6.11730i	−0.352490	−	0.277201i	0.426175	−	0.904641i	$-0.359861\pi$
$487$	−7.77878	−	6.11730i	−0.352490	−	0.277201i	−0.778665	+	0.627439i	$0.784103\pi$
$488$	8.27813	−	0.790466i	0.374733	−	0.0357827i
$489$	4.91084	−	11.3719i	0.222076	−	0.514254i
$490$	0.540499	+	15.8184i	0.0244173	+	0.714601i
$491$	10.2426	+	15.9378i	0.462242	+	0.719263i	0.991629	−	0.129117i	$-0.0412144\pi$
$491$	10.2426	+	15.9378i	0.462242	+	0.719263i	−0.529387	+	0.848380i	$0.677578\pi$
$492$	0.321679	−	0.136591i	0.0145024	−	0.00615799i
$493$	−5.09868	−	1.23693i	−0.229633	−	0.0557084i
$494$	11.9710	−	4.14320i	0.538600	−	0.186411i
$495$	−0.477572	+	0.137067i	−0.0214653	+	0.00616071i
$496$	2.92435	+	9.95942i	0.131307	+	0.447191i
$497$	1.26689	−	0.0820544i	0.0568280	−	0.00368064i
$498$	0.233369	+	11.2461i	0.0104575	+	0.503952i
$499$	6.03061	+	24.8585i	0.269967	+	1.11282i	0.931743	+	0.363118i	$0.118288\pi$
$499$	6.03061	+	24.8585i	0.269967	+	1.11282i	−0.661776	+	0.749702i	$0.730197\pi$
$500$	10.2594	+	4.10726i	0.458816	+	0.183682i
$501$	−0.163262	−	2.38497i	−0.00729401	−	0.106552i
$502$	3.66259	+	9.14872i	0.163470	+	0.408327i
$503$	12.9154	+	8.30022i	0.575869	+	0.370089i	0.795922	−	0.605399i	$-0.206987\pi$
$503$	12.9154	+	8.30022i	0.575869	+	0.370089i	−0.220053	+	0.975488i	$0.570623\pi$
$504$	−1.78652	+	7.73359i	−0.0795778	+	0.344481i
$505$	1.22475			0.0545006
$506$	0.350562	−	0.0224521i	0.0155844	−	0.000998118i
$507$	−11.0656	+	5.99851i	−0.491441	+	0.266403i
$508$	12.9400	−	2.49398i	0.574119	−	0.110652i
$509$	−1.60908	+	33.7787i	−0.0713212	+	1.49722i	0.625642	+	0.780110i	$0.284837\pi$
$509$	−1.60908	+	33.7787i	−0.0713212	+	1.49722i	−0.696964	+	0.717107i	$0.745466\pi$
$510$	11.1286	+	9.24583i	0.492784	+	0.409412i
$511$	9.68702	−	2.52596i	0.428529	−	0.111742i
$512$	0.989821	−	0.142315i	0.0437443	−	0.00628949i
$513$	4.31043	+	27.1510i	0.190310	+	1.19874i
$514$	−17.7353	+	0.844835i	−0.782269	+	0.0372641i
$515$	−0.823136	+	8.62027i	−0.0362717	+	0.379854i
$516$	−3.20225	−	12.0985i	−0.140971	−	0.532608i
$517$	−0.298968	−	0.259057i	−0.0131486	−	0.0113933i
$518$	−22.4196	−	0.684502i	−0.985058	−	0.0300753i
$519$	32.3900	+	8.78490i	1.42176	+	0.385614i
$520$	3.14034	−	4.40999i	0.137713	−	0.193391i
$521$	0.442230	+	9.28354i	0.0193744	+	0.406719i	0.987634	+	0.156774i	$0.0501095\pi$
$521$	0.442230	+	9.28354i	0.0193744	+	0.406719i	−0.968260	+	0.249945i	$0.919587\pi$
$522$	−4.01756	−	1.41801i	−0.175844	−	0.0620646i
$523$	0.838454	+	1.06618i	0.0366630	+	0.0466209i	0.804039	−	0.594577i	$-0.202680\pi$
$523$	0.838454	+	1.06618i	0.0366630	+	0.0466209i	−0.767376	+	0.641198i	$0.778438\pi$
$524$	4.17855	−	9.14975i	0.182541	−	0.399709i
$525$	0.443965	+	0.262142i	0.0193762	+	0.0114408i
$526$	−26.3568	−	16.9385i	−1.14921	−	0.738553i
$527$	−36.2380	−	12.5421i	−1.57855	−	0.546342i
$528$	−0.0604610	−	0.111534i	−0.00263123	−	0.00485389i
$529$	22.8121	−	2.93409i	0.991830	−	0.127569i
$530$	11.1249	+	19.2690i	0.483236	+	0.836990i
$531$	5.46381	−	13.4101i	0.237109	−	0.581950i
$532$	−11.2619	+	8.31301i	−0.488265	+	0.360415i
$533$	0.478195	+	0.0687541i	0.0207129	+	0.00297807i
$534$	−0.629509	+	1.28590i	−0.0272415	+	0.0556463i
$535$	14.8977	−	37.2127i	0.644085	−	1.60885i
$536$	4.05244	+	4.25008i	0.175039	+	0.183575i
$537$	−18.7411	+	11.3450i	−0.808737	+	0.489572i
$538$	21.9932	−	10.0440i	0.948194	−	0.433026i
$539$	0.291770	+	0.421617i	0.0125674	+	0.0181603i
$540$	8.23135	+	8.38347i	0.354221	+	0.360767i
$541$	−13.8556	−	2.67044i	−0.595698	−	0.114811i	−0.117514	−	0.993071i	$-0.537493\pi$
$541$	−13.8556	−	2.67044i	−0.595698	−	0.114811i	−0.478184	+	0.878260i	$0.658705\pi$
$542$	−1.18724	+	4.89388i	−0.0509965	+	0.210210i
$543$	27.5044	−	36.5088i	1.18033	−	1.56674i
$544$	−1.69286	+	3.28368i	−0.0725806	+	0.140787i
$545$	10.2645	+	3.01392i	0.439682	+	0.129102i
$546$	−7.64903	+	7.86667i	−0.327348	+	0.336662i
$547$	2.81078	−	6.15476i	0.120180	−	0.263158i	−0.839975	−	0.542625i	$-0.817430\pi$
$547$	2.81078	−	6.15476i	0.120180	−	0.263158i	0.960155	+	0.279467i	$0.0901577\pi$
$548$	1.32458	+	3.30865i	0.0565834	+	0.141338i
$549$	−14.5947	+	20.2328i	−0.622885	+	0.863516i
$550$	−0.00809200	+	0.00155960i	−0.000345044	+	6.65018e-5i
$551$	−3.75677	−	6.50691i	−0.160044	−	0.277204i
$552$	−4.41733	−	7.03471i	−0.188014	−	0.299417i
$553$	−3.68629	−	22.8602i	−0.156757	−	0.972114i
$554$	−3.34437	+	2.89791i	−0.142089	+	0.123121i
$555$	−18.6935	+	27.4389i	−0.793496	+	1.16472i
$556$	−0.377720	+	0.480310i	−0.0160189	+	0.0203697i
$557$	−5.64007	+	4.01627i	−0.238977	+	0.170175i	−0.693271	−	0.720677i	$-0.743831\pi$
$557$	−5.64007	+	4.01627i	−0.238977	+	0.170175i	0.454294	+	0.890852i	$0.349892\pi$
$558$	−28.2461	−	13.1085i	−1.19575	−	0.554928i
$559$	4.87418	−	16.5999i	0.206156	−	0.702102i
$560$	−1.85978	+	5.68584i	−0.0785902	+	0.240271i
$561$	0.465208	+	0.0570630i	0.0196411	+	0.00240920i
$562$	−11.0752	−	10.5602i	−0.467180	−	0.445455i
$563$	−1.60859	−	4.64773i	−0.0677941	−	0.195878i	0.906015	−	0.423246i	$-0.139109\pi$
$563$	−1.60859	−	4.64773i	−0.0677941	−	0.195878i	−0.973809	+	0.227368i	$0.926988\pi$
$564$	−2.01632	+	9.13456i	−0.0849024	+	0.384635i
$565$	−13.0739	+	13.7116i	−0.550025	+	0.576850i
$566$	0.628864	+	1.37702i	0.0264331	+	0.0578805i
$567$	−13.9065	−	19.3290i	−0.584017	−	0.811741i
$568$	0.460407	+	0.135188i	0.0193183	+	0.00567236i
$569$	−6.29200	−	8.00093i	−0.263774	−	0.335416i	0.636067	−	0.771634i	$-0.280560\pi$
$569$	−6.29200	−	8.00093i	−0.263774	−	0.335416i	−0.899841	+	0.436218i	$0.856318\pi$
$570$	1.41506	+	20.6714i	0.0592701	+	0.865831i
$571$	−23.6794	−	18.6217i	−0.990952	−	0.779293i	−0.0155842	−	0.999879i	$-0.504961\pi$
$571$	−23.6794	−	18.6217i	−0.990952	−	0.779293i	−0.975368	+	0.220585i	$0.929203\pi$
$572$	0.00834489	−	0.175181i	0.000348917	−	0.00732468i
$573$	−5.64476	+	0.931508i	−0.235813	+	0.0389143i
$574$	−0.527028	+	0.0849853i	−0.0219977	+	0.00354722i
$575$	−0.522212	+	0.135770i	−0.0217778	+	0.00566199i
$576$	−1.63730	+	2.51381i	−0.0682207	+	0.104742i
$577$	−5.68217	−	29.4819i	−0.236552	−	1.22735i	−0.884819	−	0.465934i	$-0.845718\pi$
$577$	−5.68217	−	29.4819i	−0.236552	−	1.22735i	0.648268	−	0.761413i	$-0.275494\pi$
$578$	1.53582	+	2.97908i	0.0638818	+	0.123913i
$579$	−3.47083	−	0.594547i	−0.144243	−	0.0247085i
$580$	−2.92091	−	1.33394i	−0.121284	−	0.0553887i
$581$	3.76517	−	16.7649i	0.156206	−	0.695523i
$582$	22.1699	+	24.5378i	0.918973	+	1.01712i
$583$	0.640650	+	0.330278i	0.0265330	+	0.0136787i
$584$	3.76665	+	0.359671i	0.155865	+	0.0148833i
$585$	3.73268	+	15.8068i	0.154327	+	0.653531i
$586$	4.17144	−	21.6435i	0.172321	−	0.894084i
$587$	−25.1019	+	28.9691i	−1.03606	+	1.19568i	−0.0557088	+	0.998447i	$0.517742\pi$
$587$	−25.1019	+	28.9691i	−1.03606	+	1.19568i	−0.980356	+	0.197236i	$0.936804\pi$
$588$	5.47684	−	10.8168i	0.225861	−	0.446079i
$589$	−22.8130	−	49.9536i	−0.939994	−	2.05830i
$590$	5.00103	−	9.70065i	0.205889	−	0.399369i
$591$	5.98745	+	27.9340i	0.246291	+	1.14905i
$592$	−7.87046	−	3.15086i	−0.323474	−	0.129499i
$593$	20.6829	−	1.97498i	0.849347	−	0.0811028i	0.338701	−	0.940894i	$-0.390012\pi$
$593$	20.6829	−	1.97498i	0.849347	−	0.0811028i	0.510646	+	0.859791i	$0.329406\pi$
$594$	0.371148	+	0.0843044i	0.0152284	+	0.00345905i
$595$	−13.1252	−	17.7811i	−0.538082	−	0.728956i
$596$	−1.80798	+	1.56662i	−0.0740577	+	0.0641714i
$597$	28.3597	+	0.761691i	1.16068	+	0.0311739i
$598$	−0.187840	−	11.4814i	−0.00768134	−	0.469510i
$599$	−0.527560	−	0.304587i	−0.0215555	−	0.0124451i	0.489184	−	0.872181i	$-0.337295\pi$
$599$	−0.527560	−	0.304587i	−0.0215555	−	0.0124451i	−0.510739	+	0.859736i	$0.670628\pi$
$600$	0.123613	+	0.150647i	0.00504649	+	0.00615013i
$601$	−19.2019	+	29.8788i	−0.783262	+	1.21878i	0.188327	+	0.982106i	$0.439694\pi$
$601$	−19.2019	+	29.8788i	−0.783262	+	1.21878i	−0.971589	+	0.236673i	$0.923943\pi$
$602$	0.326465	+	19.1144i	0.0133057	+	0.779045i
$603$	−17.6021	+	0.730840i	−0.716814	+	0.0297621i
$604$	8.96057	−	7.04667i	0.364601	−	0.286725i
$605$	17.9919	−	17.1552i	0.731474	−	0.697459i
$606$	−0.822053	−	0.452137i	−0.0333936	−	0.0183668i
$607$	3.72805	+	2.65473i	0.151317	+	0.107752i	0.653208	−	0.757179i	$-0.273423\pi$
$607$	3.72805	+	2.65473i	0.151317	+	0.107752i	−0.501891	+	0.864931i	$0.667362\pi$
$608$	−5.07633	+	1.49055i	−0.205872	+	0.0604496i
$609$	5.44020	+	3.57182i	0.220448	+	0.144737i
$610$	−12.3132	+	14.2101i	−0.498545	+	0.575352i
$611$	−8.92372	+	9.35893i	−0.361015	+	0.378622i
$612$	−4.05629	−	10.3141i	−0.163966	−	0.416924i
$613$	−1.47919	−	31.0520i	−0.0597438	−	1.25418i	−0.807365	−	0.590052i	$-0.799107\pi$
$613$	−1.47919	−	31.0520i	−0.0597438	−	1.25418i	0.747622	−	0.664125i	$-0.231196\pi$
$614$	−4.88383	−	20.1314i	−0.197095	−	0.812438i
$615$	−0.313277	+	0.725446i	−0.0126326	+	0.0292528i
$616$	0.0488979	+	0.187523i	0.00197015	+	0.00755550i
$617$	40.5894	+	5.83587i	1.63407	+	0.234943i	0.897369	−	0.441280i	$-0.145476\pi$
$617$	40.5894	+	5.83587i	1.63407	+	0.234943i	0.736696	+	0.676224i	$0.236385\pi$
$618$	3.73481	−	5.48206i	0.150236	−	0.220521i
$619$	−1.05229	−	5.45980i	−0.0422951	−	0.219448i	0.954631	−	0.297790i	$-0.0962495\pi$
$619$	−1.05229	−	5.45980i	−0.0422951	−	0.219448i	−0.996927	+	0.0783420i	$0.975037\pi$
$620$	−20.3254	−	11.7349i	−0.816289	−	0.471285i
$621$	24.6040	+	3.95534i	0.987323	+	0.158722i
$622$		−	32.5050i		−	1.30333i
$623$	1.40374	−	1.67703i	0.0562396	−	0.0671888i
$624$	−3.73583	+	1.80068i	−0.149553	+	0.0720850i
$625$	−23.7197	+	9.49593i	−0.948788	+	0.379837i
$626$	−20.0843	−	28.2045i	−0.802730	−	1.12728i
$627$	0.400599	+	0.538556i	0.0159984	+	0.0215079i
$628$	−16.2290	+	3.93711i	−0.647608	+	0.157108i
$629$	26.3480	−	16.9328i	1.05056	−	0.675155i
$630$	−9.14343	−	15.4430i	−0.364283	−	0.615263i
$631$	−27.1322	+	7.96674i	−1.08012	+	0.317151i	−0.772926	−	0.634497i	$-0.781207\pi$
$631$	−27.1322	+	7.96674i	−1.08012	+	0.317151i	−0.307191	+	0.951648i	$0.599389\pi$
$632$	1.65632	−	8.59380i	0.0658848	−	0.341843i
$633$	−6.05339	+	27.4238i	−0.240601	+	1.09000i
$634$	−1.85985	+	7.66639i	−0.0738639	+	0.304471i
$635$	−17.2839	+	24.2718i	−0.685890	+	0.963198i
$636$	−0.353604	−	17.0403i	−0.0140213	−	0.675692i
$637$	14.2204	−	8.87105i	0.563432	−	0.351484i
$638$	−0.102963	+	0.0148039i	−0.00407635	+	0.000586091i
$639$	−1.21574	+	0.770865i	−0.0480940	+	0.0304949i
$640$	−1.39771	+	1.77733i	−0.0552494	+	0.0702553i
$641$	−2.95666	−	5.73513i	−0.116781	−	0.226524i	0.823199	−	0.567753i	$-0.192187\pi$
$641$	−2.95666	−	5.73513i	−0.116781	−	0.226524i	−0.939980	+	0.341229i	$0.889157\pi$
$642$	−23.7371	+	19.4775i	−0.936828	+	0.768714i
$643$			24.8298i			0.979193i	0.871949	+	0.489596i	$0.162856\pi$
$643$			24.8298i			0.979193i	−0.871949	+	0.489596i	$0.837144\pi$
$644$	3.97979	+	12.0483i	0.156826	+	0.474769i
$645$	24.1179	+	14.8018i	0.949641	+	0.582819i
$646$	6.39273	−	18.4706i	0.251518	−	0.726715i
$647$	−34.1418	+	17.6013i	−1.34225	+	0.691979i	−0.971564	−	0.236778i	$-0.923909\pi$
$647$	−34.1418	+	17.6013i	−1.34225	+	0.691979i	−0.370689	+	0.928757i	$0.620878\pi$
$648$	−2.42999	−	8.66575i	−0.0954590	−	0.340423i
$649$	−0.0336071	−	0.351950i	−0.00131919	−	0.0138152i
$650$	0.0383377	+	0.266645i	0.00150373	+	0.0104587i
$651$	37.1007	+	29.7678i	1.45409	+	1.16669i
$652$	−6.01630	+	3.86644i	−0.235617	+	0.151422i
$653$	40.6605	+	28.9542i	1.59117	+	1.13307i	0.920110	+	0.391661i	$0.128099\pi$
$653$	40.6605	+	28.9542i	1.59117	+	1.13307i	0.671058	+	0.741405i	$0.265840\pi$
$654$	−5.77689	−	5.81225i	−0.225894	−	0.227277i
$655$	7.43873	+	21.4928i	0.290655	+	0.839793i
$656$	−0.198125	−	0.0381854i	−0.00773547	−	0.00149089i
$657$	−8.26301	+	7.78303i	−0.322371	+	0.303645i
$658$	6.32983	−	12.8107i	0.246762	−	0.499412i
$659$	18.1992	+	28.3185i	0.708940	+	1.10313i	0.989673	+	0.143346i	$0.0457862\pi$
$659$	18.1992	+	28.3185i	0.708940	+	1.10313i	−0.280733	+	0.959786i	$0.590577\pi$
$660$	0.272969	+	0.0881779i	0.0106253	+	0.00343232i
$661$	−3.45263	+	8.62425i	−0.134292	+	0.335445i	−0.980237	−	0.197824i	$-0.936612\pi$
$661$	−3.45263	+	8.62425i	−0.134292	+	0.335445i	0.845946	+	0.533269i	$0.179037\pi$
$662$	−10.0811	+	7.17872i	−0.391813	+	0.279009i
$663$	2.58680	−	15.1011i	0.100463	−	0.586480i
$664$	3.51112	−	5.46340i	0.136258	−	0.212021i
$665$	5.45821	−	31.1758i	0.211660	−	1.20895i
$666$	22.6767	−	11.5160i	0.878703	−	0.446235i
$667$	−6.66577	+	1.39818i	−0.258099	+	0.0541379i
$668$	−0.690092	+	1.19527i	−0.0267005	+	0.0462466i
$669$	−1.97705	+	5.25168i	−0.0764372	+	0.203042i
$670$	−13.2630	−	0.631796i	−0.512395	−	0.0244084i
$671$	−0.0866848	+	0.602906i	−0.00334643	+	0.0232749i
$672$	3.34732	−	3.12977i	0.129125	−	0.120734i
$673$	3.51850	+	24.4717i	0.135628	+	0.943314i	0.938036	+	0.346538i	$0.112643\pi$
$673$	3.51850	+	24.4717i	0.135628	+	0.943314i	−0.802408	+	0.596776i	$0.796448\pi$
$674$	4.91121	−	1.19145i	0.189173	−	0.0458928i
$675$	−0.584295	−	0.0192627i	−0.0224895	−	0.000741423i
$676$	7.23414	+	0.690776i	0.278236	+	0.0265683i
$677$	−1.60651	−	1.53181i	−0.0617432	−	0.0588721i	0.658579	−	0.752511i	$-0.271158\pi$
$677$	−1.60651	−	1.53181i	−0.0617432	−	0.0588721i	−0.720323	+	0.693639i	$0.756006\pi$
$678$	13.8371	−	4.37674i	0.531411	−	0.168088i
$679$	−23.9106	−	44.4976i	−0.917605	−	1.70766i
$680$	−2.35339	−	8.01491i	−0.0902484	−	0.307358i
$681$	−31.6734	+	13.4491i	−1.21373	+	0.515370i
$682$	−0.759433	+	0.0361763i	−0.0290802	+	0.00138526i
$683$	22.7365	+	23.8454i	0.869989	+	0.912418i	0.996835	−	0.0795045i	$-0.0253338\pi$
$683$	22.7365	+	23.8454i	0.869989	+	0.912418i	−0.126846	+	0.991922i	$0.540485\pi$
$684$	6.68144	−	14.3971i	0.255471	−	0.550487i
$685$	−7.33015	−	3.34757i	−0.280071	−	0.127904i
$686$	−12.0772	+	14.0407i	−0.461112	+	0.536075i
$687$	27.9593	−	13.4765i	1.06671	−	0.514160i
$688$	−2.36327	+	6.82821i	−0.0900987	+	0.260323i
$689$	11.7807	−	20.4047i	0.448808	−	0.777357i
$690$	18.2051	+	4.61930i	0.693056	+	0.175854i
$691$	−9.14207	+	5.27818i	−0.347781	+	0.200791i	−0.663707	−	0.747992i	$-0.731018\pi$
$691$	−9.14207	+	5.27818i	−0.347781	+	0.200791i	0.315927	+	0.948784i	$0.397685\pi$
$692$	−12.6886	−	14.6434i	−0.482347	−	0.556658i
$693$	−0.519643	−	0.260717i	−0.0197396	−	0.00990380i
$694$	−3.99956	+	27.8175i	−0.151821	+	1.05594i
$695$	−0.131331	−	1.37536i	−0.00498166	−	0.0521703i
$696$	1.46808	+	1.97365i	0.0556473	+	0.0748109i
$697$	0.539483	−	0.514396i	0.0204344	−	0.0194841i
$698$	11.2317	+	5.79034i	0.425126	+	0.219168i
$699$	22.5026	+	2.76019i	0.851125	+	0.104400i
$700$	−0.128263	−	0.268619i	−0.00484787	−	0.0101529i
$701$	−29.6394	−	25.6827i	−1.11947	−	0.970023i	−0.119726	−	0.992807i	$-0.538201\pi$
$701$	−29.6394	−	25.6827i	−1.11947	−	0.970023i	−0.999740	+	0.0227843i	$0.992747\pi$
$702$	3.32998	−	11.9875i	0.125682	−	0.452441i
$703$	43.5884	+	10.5744i	1.64397	+	0.398822i
$704$	−0.00696256	+	0.0729152i	−0.000262411	+	0.00274810i
$705$	−10.9534	−	18.0941i	−0.412527	−	0.681465i
$706$	1.60785	−	5.47583i	0.0605122	−	0.206086i
$707$	1.05393	+	0.971102i	0.0396370	+	0.0365220i
$708$	−6.93786	+	4.66487i	−0.260741	+	0.175317i
$709$	19.5091	−	7.81029i	0.732681	−	0.293321i	0.0248387	−	0.999691i	$-0.492093\pi$
$709$	19.5091	−	7.81029i	0.732681	−	0.293321i	0.707843	+	0.706370i	$0.249669\pi$
$710$	−0.964360	+	0.497162i	−0.0361918	+	0.0186582i
$711$	16.1040	+	20.7372i	0.603948	+	0.777705i
$712$	0.715860	−	0.413302i	0.0268280	−	0.0154891i
$713$	−49.4707	+	5.54190i	−1.85269	+	0.207546i
$714$	2.24545	+	16.7801i	0.0840339	+	0.627981i
$715$	0.259684	+	0.299691i	0.00971162	+	0.0112078i
$716$	12.6339	+	0.601829i	0.472153	+	0.0224914i
$717$	31.4526	−	11.6220i	1.17462	−	0.434031i
$718$	−10.2873	−	14.4466i	−0.383920	−	0.539141i
$719$	−21.1781	+	16.6547i	−0.789811	+	0.621114i	−0.929391	−	0.369097i	$-0.879667\pi$
$719$	−21.1781	+	16.6547i	−0.789811	+	0.621114i	0.139580	+	0.990211i	$0.455425\pi$
$720$	−1.24306	−	6.66839i	−0.0463262	−	0.248516i
$721$	−7.54333	+	6.76529i	−0.280928	+	0.251952i
$722$	8.17840	−	3.73495i	0.304368	−	0.139000i
$723$	−29.8859	+	7.91022i	−1.11147	+	0.294184i
$724$	−24.9391	+	8.63151i	−0.926854	+	0.320787i
$725$	0.150992	−	0.0522589i	0.00560771	−	0.00194085i
$726$	−18.4093	+	4.87260i	−0.683235	+	0.180839i
$727$	−12.5588	+	5.73543i	−0.465781	+	0.212715i	−0.634460	−	0.772956i	$-0.718777\pi$
$727$	−12.5588	+	5.73543i	−0.465781	+	0.212715i	0.168678	+	0.985671i	$0.446050\pi$
$728$	6.19902	−	1.30494i	0.229751	−	0.0483641i
$729$	24.3506	+	11.6640i	0.901873	+	0.432001i
$730$	−6.72504	+	5.28863i	−0.248905	+	0.195741i
$731$	−15.4841	−	21.7443i	−0.572699	−	0.804244i
$732$	13.5105	−	4.99225i	0.499364	−	0.184519i
$733$	6.75025	+	0.321554i	0.249326	+	0.0118769i	0.171873	−	0.985119i	$-0.445018\pi$
$733$	6.75025	+	0.321554i	0.249326	+	0.0118769i	0.0774533	+	0.996996i	$0.475321\pi$
$734$	22.0183	+	25.4104i	0.812709	+	0.937916i
$735$	7.91539	+	26.2466i	0.291964	+	0.968121i
$736$	−0.149802	+	4.79349i	−0.00552178	+	0.176690i
$737$	−0.372510	+	0.215069i	−0.0137216	+	0.00792215i
$738$	0.478083	−	0.371269i	0.0175985	−	0.0136666i
$739$	−32.0336	+	16.5144i	−1.17837	+	0.607494i	−0.932275	−	0.361751i	$-0.882179\pi$
$739$	−32.0336	+	16.5144i	−1.17837	+	0.607494i	−0.246099	+	0.969245i	$0.579149\pi$
$740$	17.7958	−	7.12436i	0.654186	−	0.261897i
$741$	18.2080	−	12.2426i	0.668886	−	0.449745i
$742$	−5.70504	+	25.4024i	−0.209439	+	0.932550i
$743$	−1.94525	+	6.62493i	−0.0713644	+	0.243045i	−0.987449	−	0.157941i	$-0.949514\pi$
$743$	−1.94525	+	6.62493i	−0.0713644	+	0.243045i	0.916084	+	0.400986i	$0.131333\pi$
$744$	9.31033	+	15.3800i	0.341333	+	0.563857i
$745$	0.514176	−	5.38470i	0.0188380	−	0.197280i
$746$	−23.5057	−	5.70242i	−0.860604	−	0.208780i
$747$	5.37481	+	18.7270i	0.196654	+	0.685186i
$748$	−0.204506	−	0.177206i	−0.00747750	−	0.00647929i
$749$	42.3258	−	20.2101i	1.54655	−	0.738460i
$750$	18.9986	+	2.33039i	0.693730	+	0.0850937i
$751$	−28.7190	−	14.8057i	−1.04797	−	0.540266i	−0.153850	−	0.988094i	$-0.549167\pi$
$751$	−28.7190	−	14.8057i	−1.04797	−	0.540266i	−0.894120	+	0.447828i	$0.852198\pi$
$752$	3.90874	−	3.72698i	0.142537	−	0.135909i
$753$	10.1872	+	13.6954i	0.371240	+	0.499087i
$754$	0.323225	+	3.38497i	0.0117712	+	0.123273i
$755$	−3.66818	+	25.5128i	−0.133499	+	0.928505i
$756$	0.436036	+	13.7408i	0.0158585	+	0.499748i
$757$	−28.6918	−	33.1120i	−1.04282	−	1.20348i	−0.978649	−	0.205539i	$-0.934105\pi$
$757$	−28.6918	−	33.1120i	−1.04282	−	1.20348i	−0.0641706	−	0.997939i	$-0.520440\pi$
$758$	4.82900	−	2.78802i	0.175397	−	0.101266i
$759$	0.577028	−	0.192955i	0.0209448	−	0.00700384i
$760$	5.98130	−	10.3599i	0.216964	−	0.375793i
$761$	12.7897	−	36.9534i	0.463626	−	1.33956i	−0.434836	−	0.900510i	$-0.643194\pi$
$761$	12.7897	−	36.9534i	0.463626	−	1.33956i	0.898462	−	0.439050i	$-0.144685\pi$
$762$	20.5613	−	9.91064i	0.744859	−	0.359024i
$763$	6.44310	+	10.7322i	0.233256	+	0.388533i
$764$	3.00459	+	1.37215i	0.108702	+	0.0496426i
$765$	22.7313	+	10.5492i	0.821850	+	0.381406i
$766$	14.9353	+	15.6637i	0.539634	+	0.565952i
$767$	−11.5441	+	0.549912i	−0.416833	+	0.0198562i
$768$	1.59428	−	0.676960i	0.0575286	−	0.0244277i
$769$	−6.04028	−	20.5713i	−0.217818	−	0.741820i	−0.993812	−	0.111079i	$-0.964569\pi$
$769$	−6.04028	−	20.5713i	−0.217818	−	0.741820i	0.775994	−	0.630741i	$-0.217249\pi$
$770$	−0.372615	−	0.230570i	−0.0134281	−	0.00830917i
$771$	−29.3214	+	9.27450i	−1.05598	+	0.334013i
$772$	1.47140	+	1.40298i	0.0529570	+	0.0504944i
$773$	−3.82950	−	0.365673i	−0.137738	−	0.0131523i	0.0259595	−	0.999663i	$-0.491736\pi$
$773$	−3.82950	−	0.365673i	−0.137738	−	0.0131523i	−0.163697	+	0.986511i	$0.552342\pi$
$774$	−10.7236	−	18.8385i	−0.385453	−	0.677136i
$775$	1.13491	−	0.275326i	0.0407671	−	0.00989000i
$776$	−2.71719	−	18.8985i	−0.0975415	−	0.678416i
$777$	−37.8425	+	8.78977i	−1.35759	+	0.315331i
$778$	4.98607	−	34.6789i	0.178759	−	1.24330i
$779$	1.06629	+	0.0507936i	0.0382038	+	0.00181987i
$780$	3.30375	−	8.77580i	0.118293	−	0.314224i
$781$	−0.0175736	+	0.0304383i	−0.000628832	+	0.00108917i
$782$	−14.1042	−	10.7230i	−0.504366	−	0.383453i
$783$	−7.35541	−	0.593803i	−0.262861	−	0.0212208i
$784$	−6.10868	+	3.41819i	−0.218167	+	0.122078i
$785$	20.4143	−	31.7653i	0.728619	−	1.13375i
$786$	2.94155	−	17.1721i	0.104922	−	0.612509i
$787$	−28.9874	+	20.6418i	−1.03329	+	0.735802i	−0.965103	−	0.261871i	$-0.915660\pi$
$787$	−28.9874	+	20.6418i	−1.03329	+	0.735802i	−0.0681859	+	0.997673i	$0.521721\pi$
$788$	6.13021	−	15.3125i	0.218380	−	0.545486i
$789$	−51.6384	−	16.6809i	−1.83838	−	0.593855i
$790$	10.6987	+	16.6475i	0.380643	+	0.592292i
$791$	−22.1223	+	1.43282i	−0.786579	+	0.0509453i
$792$	−0.150665	−	0.159956i	−0.00535365	−	0.00568380i
$793$	19.5512	+	3.76818i	0.694282	+	0.133812i
$794$	0.0532997	+	0.153999i	0.00189153	+	0.00546523i
$795$	27.1671	+	27.3334i	0.963518	+	0.969418i
$796$	−13.3422	−	9.50096i	−0.472903	−	0.336753i
$797$	16.9964	−	10.9229i	0.602044	−	0.386910i	−0.203822	−	0.979008i	$-0.565336\pi$
$797$	16.9964	−	10.9229i	0.602044	−	0.386910i	0.805866	+	0.592098i	$0.201700\pi$
$798$	−15.1727	+	18.9103i	−0.537107	+	0.669417i
$799$	2.83954	+	19.7494i	0.100456	+	0.698685i
$800$	−0.0106946	−	0.111999i	−0.000378113	−	0.00395978i
$801$	−0.484161	+	2.43209i	−0.0171070	+	0.0859336i
$802$	−1.77094	+	0.912981i	−0.0625340	+	0.0322385i
$803$	−0.0906469	+	0.261907i	−0.00319886	+	0.00924250i
$804$	8.66892	+	5.32034i	0.305729	+	0.187634i
$805$	−25.3119	−	13.5063i	−0.892128	−	0.476036i
$806$			24.8532i			0.875415i
$807$	32.3740	−	26.5645i	1.13962	−	0.935113i
$808$	0.248205	+	0.481450i	0.00873182	+	0.0169374i
$809$	−29.1298	+	37.0415i	−1.02415	+	1.30231i	−0.0717600	+	0.997422i	$0.522862\pi$
$809$	−29.1298	+	37.0415i	−1.02415	+	1.30231i	−0.952388	+	0.304888i	$0.901381\pi$
$810$	17.4979	+	10.3893i	0.614814	+	0.365041i
$811$	45.4494	−	6.53463i	1.59594	−	0.229462i	0.713767	−	0.700383i	$-0.246987\pi$
$811$	45.4494	−	6.53463i	1.59594	−	0.229462i	0.882175	+	0.470921i	$0.156078\pi$
$812$	−1.45584	−	3.46387i	−0.0510900	−	0.121558i
$813$	0.180958	+	8.72045i	0.00634649	+	0.305839i
$814$	0.360197	−	0.505826i	0.0126249	−	0.0177292i
$815$	3.81231	−	15.7145i	0.133539	−	0.550456i
$816$	−1.37924	+	6.24841i	−0.0482832	+	0.218738i
$817$	7.23472	−	37.5373i	0.253111	−	1.31326i
$818$	−10.1540	+	2.98149i	−0.355027	+	0.104245i
$819$	−9.32113	+	16.5618i	−0.325707	+	0.578716i
$820$	0.383798	−	0.246652i	0.0134028	−	0.00861346i
$821$	52.3021	−	12.6884i	1.82536	−	0.442827i	0.831694	−	0.555234i	$-0.187371\pi$
$821$	52.3021	−	12.6884i	1.82536	−	0.442827i	0.993662	+	0.112408i	$0.0358563\pi$
$822$	3.68420	+	4.95295i	0.128501	+	0.172754i
$823$	7.90476	+	11.1007i	0.275543	+	0.386945i	0.929038	−	0.369985i	$-0.120637\pi$
$823$	7.90476	+	11.1007i	0.275543	+	0.386945i	−0.653495	+	0.756931i	$0.726698\pi$
$824$	−3.55545	+	1.42339i	−0.123860	+	0.0495861i
$825$	−0.0128580	+	0.00619760i	−0.000447658	+	0.000215773i
$826$	11.9951	−	4.38233i	0.417364	−	0.152481i
$827$		−	29.4725i		−	1.02486i	−0.858729	−	0.512429i	$-0.828746\pi$
$827$		−	29.4725i		−	1.02486i	0.858729	−	0.512429i	$-0.171254\pi$
$828$	−10.5140	−	9.82120i	−0.365386	−	0.341310i
$829$	−12.1508	−	7.01527i	−0.422015	−	0.243651i	0.273924	−	0.961751i	$-0.411678\pi$
$829$	−12.1508	−	7.01527i	−0.422015	−	0.243651i	−0.695939	+	0.718101i	$0.745012\pi$
$830$	2.77902	+	14.4189i	0.0964613	+	0.500489i
$831$	−4.31549	+	6.33440i	−0.149703	+	0.219738i
$832$	2.36999	+	0.340753i	0.0821646	+	0.0118135i
$833$	2.80407	−	25.7081i	0.0971552	−	0.890732i
$834$	−0.419588	+	0.971626i	−0.0145291	+	0.0336447i
$835$	−0.735736	−	3.03275i	−0.0254612	−	0.104953i
$836$	−0.0184391	−	0.387084i	−0.000637729	−	0.0133876i
$837$	−53.1046	−	9.43071i	−1.83556	−	0.325973i
$838$	1.50919	−	1.58279i	0.0521341	−	0.0546766i
$839$	−9.26695	+	10.6946i	−0.319931	+	0.369220i	−0.892820	−	0.450413i	$-0.851277\pi$
$839$	−9.26695	+	10.6946i	−0.319931	+	0.369220i	0.572890	+	0.819632i	$0.305822\pi$
$840$	−0.594158	+	10.3445i	−0.0205004	+	0.356921i
$841$	−25.8902	+	7.60203i	−0.892764	+	0.262139i
$842$	13.3946	+	9.53828i	0.461610	+	0.328711i
$843$	−23.2243	−	12.7736i	−0.799889	−	0.439947i
$844$	11.7348	−	11.1891i	0.403929	−	0.385145i
$845$	−12.9160	+	10.1572i	−0.444322	+	0.349419i
$846$	0.672144	+	16.1884i	0.0231088	+	0.556570i
$847$	29.0848	−	0.496756i	0.999367	−	0.0170687i
$848$	−5.32009	+	8.27823i	−0.182693	+	0.284275i
$849$	1.66323	+	2.02697i	0.0570820	+	0.0695655i
$850$	0.359962	+	0.207824i	0.0123466	+	0.00712832i
$851$	21.4188	−	34.5585i	0.734228	−	1.18465i
$852$	0.830816	+	0.0223143i	0.0284633	+	0.000764474i
$853$	5.73331	−	4.96794i	0.196305	−	0.170099i	−0.551162	−	0.834398i	$-0.685815\pi$
$853$	5.73331	−	4.96794i	0.196305	−	0.170099i	0.747467	+	0.664299i	$0.231270\pi$
$854$	−21.8630	+	2.46509i	−0.748136	+	0.0843537i
$855$	11.5305	+	33.9850i	0.394336	+	1.16226i
$856$	17.6475	−	1.68513i	0.603179	−	0.0575966i
$857$	−28.9537	−	11.5913i	−0.989038	−	0.395951i	−0.179974	−	0.983671i	$-0.557601\pi$
$857$	−28.9537	−	11.5913i	−0.989038	−	0.395951i	−0.809064	+	0.587720i	$0.800026\pi$
$858$	−0.0636640	−	0.297020i	−0.00217345	−	0.0101401i
$859$	12.3255	−	23.9081i	0.420540	−	0.815734i	−0.579460	−	0.815001i	$-0.696736\pi$
$859$	12.3255	−	23.9081i	0.420540	−	0.815734i	1.00000		0.000733188i	$-0.000233381\pi$
$860$	−6.78694	−	14.8613i	−0.231433	−	0.506767i
$861$	−0.844788	+	0.375867i	−0.0287903	+	0.0128095i
$862$	22.5919	−	26.0725i	0.769484	−	0.888032i
$863$	0.608737	−	3.15843i	0.0207216	−	0.107514i	−0.970095	−	0.242724i	$-0.921959\pi$
$863$	0.608737	−	3.15843i	0.0207216	−	0.107514i	0.990817	+	0.135210i	$0.0431710\pi$
$864$	−1.62741	+	4.93473i	−0.0553655	+	0.167883i
$865$	43.6124	+	4.16448i	1.48286	+	0.141596i
$866$	6.63706	+	3.42164i	0.225536	+	0.116272i
$867$	3.89184	+	4.30750i	0.132174	+	0.146290i
$868$	−8.18596	−	26.2142i	−0.277850	−	0.889767i
$869$	0.583123	+	0.266303i	0.0197811	+	0.00903372i
$870$	−5.48193	−	0.939044i	−0.185855	−	0.0318366i
$871$	6.44299	+	12.4977i	0.218312	+	0.423467i
$872$	0.895399	+	4.64577i	0.0303220	+	0.157326i
$873$	47.9958	+	31.2606i	1.62441	+	1.05801i
$874$	−2.82471	−	25.2153i	−0.0955474	−	0.852920i
$875$	−27.3255	−	10.4017i	−0.923771	−	0.351640i
$876$	6.46624	−	1.06707i	0.218474	−	0.0360530i
$877$	−2.78963	+	58.5615i	−0.0941990	+	1.97748i	0.0947777	+	0.995498i	$0.469786\pi$
$877$	−2.78963	+	58.5615i	−0.0941990	+	1.97748i	−0.188977	+	0.981982i	$0.560517\pi$
$878$	−22.3165	−	17.5499i	−0.753144	−	0.592279i
$879$	−2.60732	−	38.0884i	−0.0879429	−	1.28469i
$880$	−0.102378	−	0.130184i	−0.00345116	−	0.00438851i
$881$	−26.5444	−	7.79413i	−0.894303	−	0.262591i	−0.197883	−	0.980226i	$-0.563407\pi$
$881$	−26.5444	−	7.79413i	−0.894303	−	0.262591i	−0.696420	+	0.717635i	$0.745225\pi$
$882$	4.37658	−	20.5389i	0.147367	−	0.691580i
$883$	14.9971	+	32.8390i	0.504691	+	1.10512i	0.974916	+	0.222573i	$0.0714455\pi$
$883$	14.9971	+	32.8390i	0.504691	+	1.10512i	−0.470225	+	0.882547i	$0.655827\pi$
$884$	−6.10419	+	6.40189i	−0.205306	+	0.215319i
$885$	4.07456	−	18.4590i	0.136965	−	0.620494i
$886$	1.60278	+	4.63094i	0.0538465	+	0.155579i
$887$	−36.8028	−	35.0914i	−1.23572	−	1.17825i	−0.977217	−	0.212241i	$-0.931924\pi$
$887$	−36.8028	−	35.0914i	−1.23572	−	1.17825i	−0.258499	−	0.966012i	$-0.583228\pi$
$888$	−14.5746	−	1.78774i	−0.489093	−	0.0599928i
$889$	−34.1183	+	7.18213i	−1.14429	+	0.240881i
$890$	−0.526564	+	1.79331i	−0.0176505	+	0.0601120i
$891$	0.658809	−	0.0233266i	0.0220709	−	0.000781471i
$892$	2.63906	−	1.87927i	0.0883623	−	0.0629225i
$893$	−17.6631	+	22.4604i	−0.591072	+	0.751610i
$894$	−2.33297	+	3.42440i	−0.0780262	+	0.114529i
$895$	−21.6136	+	18.7282i	−0.722461	+	0.626016i
$896$	−2.61201	+	0.421197i	−0.0872611	+	0.0140712i
$897$	−5.40285	−	19.1411i	−0.180396	−	0.639104i
$898$	−8.21677	−	14.2319i	−0.274197	−	0.474923i
$899$	14.4747	−	2.78976i	0.482757	−	0.0930437i
$900$	0.273741	+	0.197459i	0.00912469	+	0.00658197i
$901$	−13.5114	−	33.7497i	−0.450129	−	1.12437i
$902$	0.00613946	−	0.0134435i	0.000204422	−	0.000447621i
$903$	9.01774	+	31.8603i	0.300092	+	1.06025i
$904$	−8.03956	−	2.36063i	−0.267392	−	0.0785134i
$905$	27.3430	−	53.0380i	0.908911	−	1.76304i
$906$	11.8806	−	15.7700i	0.394706	−	0.523925i
$907$	−8.17665	+	33.7046i	−0.271501	+	1.11914i	0.658792	+	0.752325i	$0.271068\pi$
$907$	−8.17665	+	33.7046i	−0.271501	+	1.11914i	−0.930293	+	0.366817i	$0.880447\pi$
$908$	19.5079	+	3.75984i	0.647392	+	0.124775i
$909$	−1.57682	−	0.392738i	−0.0522998	−	0.0130263i
$910$	−8.10810	+	11.8079i	−0.268781	+	0.391429i
$911$	25.9728	−	11.8614i	0.860517	−	0.392985i	0.0642527	−	0.997934i	$-0.479534\pi$
$911$	25.9728	−	11.8614i	0.860517	−	0.392985i	0.796265	+	0.604949i	$0.206806\pi$
$912$	−7.83920	+	4.74549i	−0.259582	+	0.157139i
$913$	0.328265	+	0.344274i	0.0108640	+	0.0113938i
$914$	−0.167056	+	0.417287i	−0.00552574	+	0.0138026i
$915$	−14.3194	+	29.2503i	−0.473385	+	0.966985i
$916$	−17.7372	−	2.55023i	−0.586055	−	0.0842620i
$917$	−10.6404	+	24.3932i	−0.351377	+	0.805535i
$918$	−11.3628	−	15.4723i	−0.375030	−	0.510661i
$919$	−21.5484	−	37.3229i	−0.710817	−	1.23117i	−0.964551	−	0.263897i	$-0.914992\pi$
$919$	−21.5484	−	37.3229i	−0.710817	−	1.23117i	0.253734	−	0.967274i	$-0.418341\pi$
$920$	−7.23428	−	8.07793i	−0.238507	−	0.266321i
$921$	−17.0993	−	31.5435i	−0.563441	−	1.03939i
$922$	16.4468	+	5.69230i	0.541647	+	0.187466i
$923$	0.966533	+	0.621153i	0.0318138	+	0.0204455i
$924$	0.164981	+	0.292316i	0.00542746	+	0.00961649i
$925$	−0.396231	+	0.867626i	−0.0130280	+	0.0285274i
$926$	−17.4188	−	22.1498i	−0.572417	−	0.727887i
$927$	3.82400	−	10.8343i	0.125597	−	0.355846i
$928$	−0.0675737	−	1.41855i	−0.00221822	−	0.0465661i
$929$	−17.3180	+	24.3198i	−0.568186	+	0.797906i	−0.994284	−	0.106771i	$-0.965949\pi$
$929$	−17.3180	+	24.3198i	−0.568186	+	0.797906i	0.426097	+	0.904677i	$0.359888\pi$
$930$	−39.2335	−	10.6410i	−1.28652	−	0.348932i
$931$	29.4162	−	22.4998i	0.964077	−	0.737400i
$932$	−9.89218	−	8.57163i	−0.324029	−	0.280773i
$933$	−14.4055	−	54.4261i	−0.471616	−	1.78183i
$934$	−3.32756	+	34.8478i	−0.108881	+	1.14025i
$935$	0.611159	−	0.0291131i	0.0199870	−	0.000952099i
$936$	−5.45722	+	4.67069i	−0.178375	+	0.152666i
$937$	−2.77307	+	0.398707i	−0.0905921	+	0.0130252i	−0.187462	−	0.982272i	$-0.560026\pi$
$937$	−2.77307	+	0.398707i	−0.0905921	+	0.0130252i	0.0968697	+	0.995297i	$0.469117\pi$
$938$	−10.9122	−	11.0599i	−0.356296	−	0.361119i
$939$	−46.1287	−	38.3244i	−1.50535	−	1.25067i
$940$	−0.581054	+	12.1978i	−0.0189519	+	0.397849i
$941$	−6.52222	+	1.25706i	−0.212618	+	0.0409788i	−0.294448	−	0.955668i	$-0.595136\pi$
$941$	−6.52222	+	1.25706i	−0.212618	+	0.0409788i	0.0818297	+	0.996646i	$0.473924\pi$
$942$	−25.4289	+	13.7846i	−0.828517	+	0.449128i
$943$	0.344899	−	0.904107i	0.0112315	−	0.0294418i
$944$	4.82683			0.157100
$945$	−22.1537	−	21.8054i	−0.720660	−	0.709331i
$946$	−0.445237	−	0.286136i	−0.0144759	−	0.00930309i
$947$	−7.33731	−	18.3277i	−0.238430	−	0.595570i	0.760098	−	0.649809i	$-0.225151\pi$
$947$	−7.33731	−	18.3277i	−0.238430	−	0.595570i	−0.998528	+	0.0542385i	$0.982727\pi$
$948$	−1.03527	−	15.1234i	−0.0336240	−	0.491186i
$949$	8.41076	+	3.36716i	0.273025	+	0.109303i
$950$	0.140334	+	0.578465i	0.00455304	+	0.0187679i
$951$	0.283476	+	13.6608i	0.00919234	+	0.442982i
$952$	4.32986	−	8.76303i	0.140332	−	0.284011i
$953$	−15.9367	−	54.2753i	−0.516239	−	1.75815i	−0.642638	−	0.766170i	$-0.722160\pi$
$953$	−15.9367	−	54.2753i	−0.516239	−	1.75815i	0.126398	−	0.991980i	$-0.459658\pi$
$954$	−8.14399	−	28.3755i	−0.263672	−	0.918690i
$955$	−7.05779	+	2.44272i	−0.228385	+	0.0790447i
$956$	−18.8135	−	4.56410i	−0.608472	−	0.147614i
$957$	−0.165840	+	0.0704187i	−0.00536085	+	0.00227631i
$958$	−0.999975	−	1.55599i	−0.0323077	−	0.0502718i
$959$	−3.65350	−	8.69274i	−0.117978	−	0.280703i
$960$	−1.55264	+	3.59539i	−0.0501112	+	0.116041i
$961$	76.3944	−	7.29478i	2.46434	−	0.235316i
$962$	−15.9559	−	12.5479i	−0.514439	−	0.404559i
$963$	−31.1132	+	43.1327i	−1.00261	+	1.38993i
$964$	16.8671	+	5.83777i	0.543253	+	0.188022i
$965$	−4.59695			−0.147981
$966$	12.0033	+	18.4098i	0.386200	+	0.592326i
$967$	−24.9872			−0.803533			−0.401767	−	0.915742i	$-0.631604\pi$
$967$	−24.9872			−0.803533			−0.401767	+	0.915742i	$0.631604\pi$
$968$	10.3899	+	3.59599i	0.333945	+	0.115580i
$969$	2.51815	−	33.7601i	0.0808947	−	1.08453i
$970$	33.9343	+	26.6862i	1.08956	+	0.856843i
$971$	21.0709	−	2.01203i	0.676197	−	0.0645690i	0.248693	−	0.968582i	$-0.419999\pi$
$971$	21.0709	−	2.01203i	0.676197	−	0.0645690i	0.427504	+	0.904013i	$0.359393\pi$
$972$	−7.90924	−	13.4329i	−0.253689	−	0.430862i
$973$	0.977506	−	1.28766i	0.0313374	−	0.0412805i
$974$	5.35018	+	8.32504i	0.171431	+	0.266752i
$975$	0.182364	+	0.429477i	0.00584032	+	0.0137543i
$976$	−8.08138	−	1.96052i	−0.258679	−	0.0627548i
$977$	−2.35395	+	0.814708i	−0.0753094	+	0.0260648i	−0.364463	−	0.931218i	$-0.618747\pi$
$977$	−2.35395	+	0.814708i	−0.0753094	+	0.0260648i	0.289154	+	0.957283i	$0.406626\pi$
$978$	−8.36012	+	9.14025i	−0.267327	+	0.292273i
$979$	0.0170578	+	0.0580936i	0.000545171	+	0.00185668i
$980$	4.66291	−	15.1252i	0.148951	−	0.483155i
$981$	−12.2487	−	7.17180i	−0.391069	−	0.228978i
$982$	−4.46652	−	18.4113i	−0.142533	−	0.587527i
$983$	−4.35007	−	1.74151i	−0.138746	−	0.0555454i	0.301250	−	0.953545i	$-0.402596\pi$
$983$	−4.35007	−	1.74151i	−0.138746	−	0.0555454i	−0.439996	+	0.898000i	$0.645020\pi$
$984$	−0.348662	+	0.0238675i	−0.0111149	+	0.000760868i
$985$	13.8609	+	34.6229i	0.441646	+	1.10318i
$986$	4.41370	+	2.83651i	0.140561	+	0.0903329i
$987$	4.92119	−	24.2554i	0.156643	−	0.772057i
$988$	−12.6677			−0.403013
$989$	−30.2896	−	16.8332i	−0.963155	−	0.535264i
$990$	0.496136	+	0.0266700i	0.0157682	+	0.000847627i
$991$	−57.9548	+	11.1699i	−1.84099	+	0.354823i	−0.986386	−	0.164449i	$-0.947415\pi$
$991$	−57.9548	+	11.1699i	−1.84099	+	0.354823i	−0.854609	+	0.519272i	$0.826203\pi$
$992$	0.493895	−	10.3681i	0.0156812	−	0.329188i
$993$	−13.6983	+	16.4877i	−0.434701	+	0.523222i
$994$	−1.22405	−	0.336819i	−0.0388246	−	0.0106833i
$995$	36.6582	−	5.27065i	1.16214	−	0.167091i
$996$	3.45772	−	10.7039i	0.109562	−	0.339167i
$997$	−3.55539	+	0.169364i	−0.112600	+	0.00536381i	−0.103806	−	0.994598i	$-0.533102\pi$
$997$	−3.55539	+	0.169364i	−0.112600	+	0.00536381i	−0.00879385	+	0.999961i	$0.502799\pi$
$998$	2.43149	−	25.4637i	0.0769675	−	0.806041i
$999$	32.8660	−	29.3321i	1.03983	−	0.928027i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.bd.a.59.1	✓	1280
3.2	odd	2	inner	966.2.bd.a.59.55	yes	1280
7.5	odd	6	inner	966.2.bd.a.887.42	yes	1280
21.5	even	6	inner	966.2.bd.a.887.10	yes	1280
23.16	even	11	inner	966.2.bd.a.269.10	yes	1280
69.62	odd	22	inner	966.2.bd.a.269.42	yes	1280
161.131	odd	66	inner	966.2.bd.a.131.55	yes	1280
483.131	even	66	inner	966.2.bd.a.131.1	yes	1280

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.bd.a.59.1	✓	1280	1.1	even	1	trivial
966.2.bd.a.59.55	yes	1280	3.2	odd	2	inner
966.2.bd.a.131.1	yes	1280	483.131	even	66	inner
966.2.bd.a.131.55	yes	1280	161.131	odd	66	inner
966.2.bd.a.269.10	yes	1280	23.16	even	11	inner
966.2.bd.a.269.42	yes	1280	69.62	odd	22	inner
966.2.bd.a.887.10	yes	1280	21.5	even	6	inner
966.2.bd.a.887.42	yes	1280	7.5	odd	6	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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.bd (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.945001 - 0.327068i) q^{2} +(-1.72725 - 0.128835i) q^{3} +(0.786053 + 0.618159i) q^{4} +(-2.25085 + 0.214930i) q^{5} +(1.59012 + 0.686678i) q^{6} +(-2.10733 - 1.59974i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(2.96680 + 0.445061i) q^{9} +O(q^{10})\)	\(q+(-0.945001 - 0.327068i) q^{2} +(-1.72725 - 0.128835i) q^{3} +(0.786053 + 0.618159i) q^{4} +(-2.25085 + 0.214930i) q^{5} +(1.59012 + 0.686678i) q^{6} +(-2.10733 - 1.59974i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(2.96680 + 0.445061i) q^{9} +(2.19735 + 0.533071i) q^{10} +(0.0692184 - 0.0239567i) q^{11} +(-1.27807 - 1.16899i) q^{12} +(-0.674569 - 2.29737i) q^{13} +(1.46820 + 2.20100i) q^{14} +(3.91547 - 0.0812502i) q^{15} +(0.235759 + 0.971812i) q^{16} +(-3.42973 - 1.37306i) q^{17} +(-2.65807 - 1.39093i) q^{18} +(-1.96633 - 4.91166i) q^{19} +(-1.90215 - 1.22244i) q^{20} +(3.43378 + 3.03465i) q^{21} -0.0732469 q^{22} +(-4.78603 + 0.306526i) q^{23} +(0.825440 + 1.52271i) q^{24} +(0.110476 - 0.0212924i) q^{25} +(-0.113928 + 2.39165i) q^{26} +(-5.06708 - 1.15096i) q^{27} +(-0.667577 - 2.56014i) q^{28} +(1.40570 - 0.202109i) q^{29} +(-3.72670 - 1.20384i) q^{30} +(10.3681 - 0.493895i) q^{31} +(0.0950560 - 0.995472i) q^{32} +(-0.122644 + 0.0324616i) q^{33} +(2.79201 + 2.41929i) q^{34} +(5.08710 + 3.14785i) q^{35} +(2.05695 + 2.18380i) q^{36} +(-4.91757 + 6.90576i) q^{37} +(0.251739 + 5.28465i) q^{38} +(0.869169 + 4.05505i) q^{39} +(1.39771 + 1.77733i) q^{40} +(-0.0838187 + 0.183537i) q^{41} +(-2.25239 - 3.99083i) q^{42} +(6.07857 + 3.90646i) q^{43} +(0.0692184 + 0.0239567i) q^{44} +(-6.77348 - 0.364110i) q^{45} +(4.62305 + 1.27569i) q^{46} +(-2.70040 - 4.67723i) q^{47} +(-0.282012 - 1.70894i) q^{48} +(1.88166 + 6.74236i) q^{49} +(-0.111364 - 0.0160117i) q^{50} +(5.74711 + 2.81349i) q^{51} +(0.889894 - 2.22285i) q^{52} +(6.79062 + 7.12179i) q^{53} +(4.41195 + 2.74494i) q^{54} +(-0.150651 + 0.0688000i) q^{55} +(-0.206481 + 2.63768i) q^{56} +(2.76356 + 8.73701i) q^{57} +(-1.39449 - 0.268766i) q^{58} +(1.13797 - 4.69077i) q^{59} +(3.12799 + 2.35652i) q^{60} +(-3.81051 + 7.39137i) q^{61} +(-9.95942 - 2.92435i) q^{62} +(-5.54004 - 5.68401i) q^{63} +(-0.415415 + 0.909632i) q^{64} +(2.01213 + 5.02605i) q^{65} +(0.126516 + 0.00943677i) q^{66} +(-5.76631 + 1.11136i) q^{67} +(-1.84718 - 3.19941i) q^{68} +(8.30617 + 0.0871591i) q^{69} +(-3.77776 - 4.63855i) q^{70} +(-0.362642 + 0.314231i) q^{71} +(-1.22957 - 2.73645i) q^{72} +(-2.33898 + 2.97425i) q^{73} +(6.90576 - 4.91757i) q^{74} +(-0.193563 + 0.0225443i) q^{75} +(1.49055 - 5.07633i) q^{76} +(-0.184190 - 0.0602469i) q^{77} +(0.504911 - 4.11630i) q^{78} +(6.33409 + 6.03954i) q^{79} +(-0.739529 - 2.13673i) q^{80} +(8.60384 + 2.64082i) q^{81} +(0.139238 - 0.146029i) q^{82} +(2.69785 + 5.90748i) q^{83} +(0.823237 + 4.50802i) q^{84} +(8.01491 + 2.35339i) q^{85} +(-4.46658 - 5.67972i) q^{86} +(-2.45404 + 0.167990i) q^{87} +(-0.0575760 - 0.0452782i) q^{88} +(-0.0393314 + 0.825667i) q^{89} +(6.28185 + 2.55947i) q^{90} +(-2.25366 + 5.92045i) q^{91} +(-3.95155 - 2.71758i) q^{92} +(-17.9720 - 0.482697i) q^{93} +(1.02211 + 5.30320i) q^{94} +(5.48158 + 10.6328i) q^{95} +(-0.292437 + 1.70718i) q^{96} +(17.3674 + 7.93144i) q^{97} +(0.427043 - 6.98696i) q^{98} +(0.216020 - 0.0402684i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1280 q - 64 q^{4} + 4 q^{9}+O(q^{10}) \) 1280 * q - 64 * q^4 + 4 * q^9	\( 1280 q - 64 q^{4} + 4 q^{9} + 16 q^{15} + 64 q^{16} - 44 q^{18} + 120 q^{21} - 16 q^{22} - 12 q^{24} + 56 q^{25} + 32 q^{30} - 24 q^{33} + 8 q^{36} - 44 q^{37} - 20 q^{39} + 4 q^{42} + 136 q^{43} + 12 q^{45} + 12 q^{46} + 92 q^{49} + 4 q^{51} - 36 q^{54} - 56 q^{57} - 28 q^{58} + 8 q^{60} + 72 q^{61} - 134 q^{63} + 128 q^{64} + 24 q^{67} - 72 q^{70} - 44 q^{72} - 72 q^{73} + 48 q^{75} - 16 q^{78} - 72 q^{79} + 40 q^{81} + 48 q^{82} - 10 q^{84} - 32 q^{85} + 222 q^{87} - 8 q^{88} - 8 q^{91} - 16 q^{93} + 72 q^{94} - 12 q^{96} - 68 q^{99}+O(q^{100}) \) 1280 * q - 64 * q^4 + 4 * q^9 + 16 * q^15 + 64 * q^16 - 44 * q^18 + 120 * q^21 - 16 * q^22 - 12 * q^24 + 56 * q^25 + 32 * q^30 - 24 * q^33 + 8 * q^36 - 44 * q^37 - 20 * q^39 + 4 * q^42 + 136 * q^43 + 12 * q^45 + 12 * q^46 + 92 * q^49 + 4 * q^51 - 36 * q^54 - 56 * q^57 - 28 * q^58 + 8 * q^60 + 72 * q^61 - 134 * q^63 + 128 * q^64 + 24 * q^67 - 72 * q^70 - 44 * q^72 - 72 * q^73 + 48 * q^75 - 16 * q^78 - 72 * q^79 + 40 * q^81 + 48 * q^82 - 10 * q^84 - 32 * q^85 + 222 * q^87 - 8 * q^88 - 8 * q^91 - 16 * q^93 + 72 * q^94 - 12 * q^96 - 68 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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