LMFDB - Embedded newform 966.2.be.a.19.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(19,966)]

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([0, 55, 45]))

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

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

chi := DirichletCharacter("966.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.be (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:	$320$
Relative dimension:	$16$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			19.1
Character	$\chi$	$=$	966.19
Dual form			966.2.be.a.661.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.995472 + 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(-3.45344 + 1.78037i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(-2.24314 + 1.40298i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})$	\(q+(0.995472 + 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(-3.45344 + 1.78037i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(-2.24314 + 1.40298i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(-3.60703 + 1.44404i) q^{10} +(-0.351623 - 3.68236i) q^{11} +(-0.814576 + 0.580057i) q^{12} +(1.64113 + 0.235958i) q^{13} +(-2.36634 + 1.18340i) q^{14} +(1.09463 - 3.72797i) q^{15} +(0.928368 + 0.371662i) q^{16} +(0.286378 - 0.827434i) q^{17} +(0.0475819 - 0.998867i) q^{18} +(-0.641286 - 1.85288i) q^{19} +(-3.72797 + 1.09463i) q^{20} +(0.532558 - 2.59160i) q^{21} -3.69911i q^{22} +(-3.14908 - 3.61708i) q^{23} +(-0.866025 + 0.500000i) q^{24} +(5.85622 - 8.22391i) q^{25} +(1.61127 + 0.390889i) q^{26} +(0.755750 + 0.654861i) q^{27} +(-2.46811 + 0.953107i) q^{28} +(-0.638986 - 0.737429i) q^{29} +(1.44404 - 3.60703i) q^{30} +(1.10535 - 0.268154i) q^{31} +(0.888835 + 0.458227i) q^{32} +(2.90770 + 2.28664i) q^{33} +(0.363733 - 0.796465i) q^{34} +(5.24871 - 8.83870i) q^{35} +(0.142315 - 0.989821i) q^{36} +(-4.71663 + 0.224681i) q^{37} +(-0.462256 - 1.90544i) q^{38} +(-1.30328 + 1.02491i) q^{39} +(-3.81514 + 0.735307i) q^{40} +(-1.31975 + 2.05357i) q^{41} +(0.776494 - 2.52924i) q^{42} +(-1.29366 - 4.40579i) q^{43} +(0.351623 - 3.68236i) q^{44} +(1.94268 + 3.36481i) q^{45} +(-2.79099 - 3.90005i) q^{46} +(-5.03295 - 2.90577i) q^{47} +(-0.909632 + 0.415415i) q^{48} +(3.06331 - 6.29413i) q^{49} +(6.61144 - 7.63001i) q^{50} +(0.401219 + 0.778256i) q^{51} +(1.56681 + 0.542279i) q^{52} +(-3.02494 - 3.84652i) q^{53} +(0.690079 + 0.723734i) q^{54} +(7.77027 + 12.0908i) q^{55} +(-2.54754 + 0.714182i) q^{56} +(1.78353 + 0.814510i) q^{57} +(-0.565995 - 0.794829i) q^{58} +(-1.41350 - 3.53076i) q^{59} +(1.78037 - 3.45344i) q^{60} +(-7.53361 + 7.18328i) q^{61} +(1.12583 - 0.161870i) q^{62} +(1.50812 + 2.17384i) q^{63} +(0.841254 + 0.540641i) q^{64} +(-6.08762 + 2.10694i) q^{65} +(2.67717 + 2.55268i) q^{66} +(12.4041 + 8.83290i) q^{67} +(0.437795 - 0.758284i) q^{68} +(4.79092 + 0.216979i) q^{69} +(6.06511 - 8.29976i) q^{70} +(-6.18283 - 13.5385i) q^{71} +(0.235759 - 0.971812i) q^{72} +(-0.167017 + 0.866566i) q^{73} +(-4.71663 - 0.224681i) q^{74} +(1.91067 + 9.91350i) q^{75} +(-0.279039 - 1.94076i) q^{76} +(5.95500 + 7.76671i) q^{77} +(-1.39480 + 0.896383i) q^{78} +(-9.57623 + 12.1772i) q^{79} +(-3.86776 + 0.369326i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(-1.50898 + 1.91882i) q^{82} +(-13.3602 + 8.58608i) q^{83} +(1.01340 - 2.44398i) q^{84} +(0.484152 + 3.36735i) q^{85} +(-0.869002 - 4.50881i) q^{86} +(0.974653 + 0.0464285i) q^{87} +(0.700061 - 3.63226i) q^{88} +(2.33947 - 9.64344i) q^{89} +(1.61403 + 3.53424i) q^{90} +(-4.01231 + 1.77318i) q^{91} +(-2.40763 - 4.14769i) q^{92} +(-0.568704 + 0.985023i) q^{93} +(-4.73395 - 3.37103i) q^{94} +(5.51345 + 5.25706i) q^{95} +(-0.945001 + 0.327068i) q^{96} +(0.621346 + 0.399315i) q^{97} +(3.64774 - 5.97445i) q^{98} +(-3.66146 + 0.526438i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9}+O(q^{10}) $ 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9	$ 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9} - 22 q^{14} + 16 q^{16} + 66 q^{17} + 16 q^{18} + 40 q^{23} - 48 q^{25} + 12 q^{26} + 44 q^{28} - 24 q^{29} + 24 q^{31} - 16 q^{32} + 98 q^{35} + 32 q^{36} - 22 q^{37} - 66 q^{38} - 8 q^{39} - 88 q^{43} + 4 q^{46} - 144 q^{47} - 24 q^{49} + 80 q^{50} - 22 q^{51} + 12 q^{52} + 44 q^{53} + 44 q^{57} + 10 q^{58} + 12 q^{59} - 32 q^{64} + 108 q^{70} - 16 q^{71} + 16 q^{72} - 180 q^{73} - 22 q^{74} - 12 q^{75} + 18 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 36 q^{82} + 22 q^{84} + 68 q^{85} - 22 q^{86} + 48 q^{87} + 22 q^{88} + 8 q^{92} + 8 q^{93} - 12 q^{94} + 66 q^{95} - 90 q^{98}+O(q^{100}) $ 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9 - 22 * q^14 + 16 * q^16 + 66 * q^17 + 16 * q^18 + 40 * q^23 - 48 * q^25 + 12 * q^26 + 44 * q^28 - 24 * q^29 + 24 * q^31 - 16 * q^32 + 98 * q^35 + 32 * q^36 - 22 * q^37 - 66 * q^38 - 8 * q^39 - 88 * q^43 + 4 * q^46 - 144 * q^47 - 24 * q^49 + 80 * q^50 - 22 * q^51 + 12 * q^52 + 44 * q^53 + 44 * q^57 + 10 * q^58 + 12 * q^59 - 32 * q^64 + 108 * q^70 - 16 * q^71 + 16 * q^72 - 180 * q^73 - 22 * q^74 - 12 * q^75 + 18 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 36 * q^82 + 22 * q^84 + 68 * q^85 - 22 * q^86 + 48 * q^87 + 22 * q^88 + 8 * q^92 + 8 * q^93 - 12 * q^94 + 66 * q^95 - 90 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{15}{22}\right)$

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 $

$2$	0.995472	+	0.0950560i	0.703905	+	0.0672148i
$2$	0.995472	+	0.0950560i	0.703905	+	0.0672148i
$3$	−0.690079	+	0.723734i	−0.398417	+	0.417848i
$3$	−0.690079	+	0.723734i	−0.398417	+	0.417848i
$4$	0.981929	+	0.189251i	0.490964	+	0.0946256i
$5$	−3.45344	+	1.78037i	−1.54442	+	0.796206i	−0.999116	−	0.0420301i	$-0.986617\pi$
$5$	−3.45344	+	1.78037i	−1.54442	+	0.796206i	−0.545308	+	0.838236i	$0.683587\pi$
$6$	−0.755750	+	0.654861i	−0.308533	+	0.267346i
$7$	−2.24314	+	1.40298i	−0.847825	+	0.530275i
$7$	−2.24314	+	1.40298i	−0.847825	+	0.530275i
$8$	0.959493	+	0.281733i	0.339232	+	0.0996075i
$9$	−0.0475819	−	0.998867i	−0.0158606	−	0.332956i
$10$	−3.60703	+	1.44404i	−1.14064	+	0.456645i
$11$	−0.351623	−	3.68236i	−0.106018	−	1.11027i	−0.879319	−	0.476234i	$-0.842002\pi$
$11$	−0.351623	−	3.68236i	−0.106018	−	1.11027i	0.773300	−	0.634040i	$-0.218604\pi$
$12$	−0.814576	+	0.580057i	−0.235148	+	0.167448i
$13$	1.64113	+	0.235958i	0.455166	+	0.0654430i	0.366085	−	0.930581i	$-0.380698\pi$
$13$	1.64113	+	0.235958i	0.455166	+	0.0654430i	0.0890811	+	0.996024i	$0.471607\pi$
$14$	−2.36634	+	1.18340i	−0.632431	+	0.316277i
$15$	1.09463	−	3.72797i	0.282632	−	0.962557i
$16$	0.928368	+	0.371662i	0.232092	+	0.0929156i
$17$	0.286378	−	0.827434i	0.0694568	−	0.200682i	−0.904930	−	0.425560i	$-0.860077\pi$
$17$	0.286378	−	0.827434i	0.0694568	−	0.200682i	0.974387	+	0.224878i	$0.0721983\pi$
$18$	0.0475819	−	0.998867i	0.0112152	−	0.235435i
$19$	−0.641286	−	1.85288i	−0.147121	−	0.425079i	0.847229	−	0.531228i	$-0.178269\pi$
$19$	−0.641286	−	1.85288i	−0.147121	−	0.425079i	−0.994350	+	0.106149i	$0.966148\pi$
$20$	−3.72797	+	1.09463i	−0.833599	+	0.244767i
$21$	0.532558	−	2.59160i	0.116214	−	0.565533i
$22$		−	3.69911i		−	0.788653i
$23$	−3.14908	−	3.61708i	−0.656628	−	0.754214i
$23$	−3.14908	−	3.61708i	−0.656628	−	0.754214i
$24$	−0.866025	+	0.500000i	−0.176777	+	0.102062i
$25$	5.85622	−	8.22391i	1.17124	−	1.64478i
$26$	1.61127	+	0.390889i	0.315995	+	0.0766596i
$27$	0.755750	+	0.654861i	0.145444	+	0.126028i
$28$	−2.46811	+	0.953107i	−0.466430	+	0.180120i
$29$	−0.638986	−	0.737429i	−0.118657	−	0.136937i	0.693313	−	0.720636i	$-0.256150\pi$
$29$	−0.638986	−	0.737429i	−0.118657	−	0.136937i	−0.811970	+	0.583699i	$0.801605\pi$
$30$	1.44404	−	3.60703i	0.263644	−	0.658551i
$31$	1.10535	−	0.268154i	0.198526	−	0.0481619i	−0.135263	−	0.990810i	$-0.543188\pi$
$31$	1.10535	−	0.268154i	0.198526	−	0.0481619i	0.333789	+	0.942648i	$0.391673\pi$
$32$	0.888835	+	0.458227i	0.157125	+	0.0810038i
$33$	2.90770	+	2.28664i	0.506165	+	0.398053i
$34$	0.363733	−	0.796465i	0.0623798	−	0.136593i
$35$	5.24871	−	8.83870i	0.887193	−	1.49401i
$36$	0.142315	−	0.989821i	0.0237191	−	0.164970i
$37$	−4.71663	+	0.224681i	−0.775410	+	0.0369373i	−0.431556	−	0.902086i	$-0.642035\pi$
$37$	−4.71663	+	0.224681i	−0.775410	+	0.0369373i	−0.343853	+	0.939023i	$0.611732\pi$
$38$	−0.462256	−	1.90544i	−0.0749878	−	0.309104i
$39$	−1.30328	+	1.02491i	−0.208691	+	0.164117i
$40$	−3.81514	+	0.735307i	−0.603226	+	0.116262i
$41$	−1.31975	+	2.05357i	−0.206110	+	0.320713i	−0.928884	−	0.370371i	$-0.879230\pi$
$41$	−1.31975	+	2.05357i	−0.206110	+	0.320713i	0.722774	+	0.691085i	$0.242867\pi$
$42$	0.776494	−	2.52924i	0.119816	−	0.390270i
$43$	−1.29366	−	4.40579i	−0.197281	−	0.671877i	−0.997402	−	0.0720381i	$-0.977050\pi$
$43$	−1.29366	−	4.40579i	−0.197281	−	0.671877i	0.800121	−	0.599838i	$-0.204768\pi$
$44$	0.351623	−	3.68236i	0.0530091	−	0.555137i
$45$	1.94268	+	3.36481i	0.289597	+	0.501597i
$46$	−2.79099	−	3.90005i	−0.411510	−	0.575030i
$47$	−5.03295	−	2.90577i	−0.734131	−	0.423851i	0.0858008	−	0.996312i	$-0.472655\pi$
$47$	−5.03295	−	2.90577i	−0.734131	−	0.423851i	−0.819931	+	0.572462i	$0.805988\pi$
$48$	−0.909632	+	0.415415i	−0.131294	+	0.0599600i
$49$	3.06331	−	6.29413i	0.437616	−	0.899162i
$50$	6.61144	−	7.63001i	0.934999	−	1.07905i
$51$	0.401219	+	0.778256i	0.0561819	+	0.108978i
$52$	1.56681	+	0.542279i	0.217278	+	0.0752006i
$53$	−3.02494	−	3.84652i	−0.415507	−	0.528360i	0.532576	−	0.846382i	$-0.321224\pi$
$53$	−3.02494	−	3.84652i	−0.415507	−	0.528360i	−0.948083	+	0.318022i	$0.896982\pi$
$54$	0.690079	+	0.723734i	0.0939079	+	0.0984877i
$55$	7.77027	+	12.0908i	1.04774	+	1.63032i
$56$	−2.54754	+	0.714182i	−0.340429	+	0.0954366i
$57$	1.78353	+	0.814510i	0.236234	+	0.107884i
$58$	−0.565995	−	0.794829i	−0.0743188	−	0.104366i
$59$	−1.41350	−	3.53076i	−0.184023	−	0.459666i	0.807457	−	0.589926i	$-0.200843\pi$
$59$	−1.41350	−	3.53076i	−0.184023	−	0.459666i	−0.991480	+	0.130260i	$0.958419\pi$
$60$	1.78037	−	3.45344i	0.229845	−	0.445837i
$61$	−7.53361	+	7.18328i	−0.964579	+	0.919724i	−0.996814	−	0.0797558i	$-0.974586\pi$
$61$	−7.53361	+	7.18328i	−0.964579	+	0.919724i	0.0322351	+	0.999480i	$0.489737\pi$
$62$	1.12583	−	0.161870i	0.142981	−	0.0205575i
$63$	1.50812	+	2.17384i	0.190005	+	0.273878i
$64$	0.841254	+	0.540641i	0.105157	+	0.0675801i
$65$	−6.08762	+	2.10694i	−0.755076	+	0.261334i
$66$	2.67717	+	2.55268i	0.329537	+	0.314213i
$67$	12.4041	+	8.83290i	1.51540	+	1.07911i	0.970645	+	0.240515i	$0.0773163\pi$
$67$	12.4041	+	8.83290i	1.51540	+	1.07911i	0.544754	+	0.838596i	$0.316623\pi$
$68$	0.437795	−	0.758284i	0.0530905	−	0.0919554i
$69$	4.79092	+	0.216979i	0.576759	+	0.0261211i
$70$	6.06511	−	8.29976i	0.724920	−	0.992011i
$71$	−6.18283	−	13.5385i	−0.733766	−	1.60672i	−0.793544	−	0.608513i	$-0.791766\pi$
$71$	−6.18283	−	13.5385i	−0.733766	−	1.60672i	0.0597776	−	0.998212i	$-0.480961\pi$
$72$	0.235759	−	0.971812i	0.0277845	−	0.114529i
$73$	−0.167017	+	0.866566i	−0.0195479	+	0.101424i	−0.990392	−	0.138287i	$-0.955840\pi$
$73$	−0.167017	+	0.866566i	−0.0195479	+	0.101424i	0.970844	+	0.239711i	$0.0770526\pi$
$74$	−4.71663	−	0.224681i	−0.548297	−	0.0261186i
$75$	1.91067	+	9.91350i	0.220625	+	1.14471i
$76$	−0.279039	−	1.94076i	−0.0320079	−	0.222620i
$77$	5.95500	+	7.76671i	0.678636	+	0.885099i
$78$	−1.39480	+	0.896383i	−0.157930	+	0.101495i
$79$	−9.57623	+	12.1772i	−1.07741	+	1.37004i	−0.153182	+	0.988198i	$0.548952\pi$
$79$	−9.57623	+	12.1772i	−1.07741	+	1.37004i	−0.924228	+	0.381840i	$0.875290\pi$
$80$	−3.86776	+	0.369326i	−0.432428	+	0.0412919i
$81$	−0.995472	+	0.0950560i	−0.110608	+	0.0105618i
$82$	−1.50898	+	1.91882i	−0.166638	+	0.211898i
$83$	−13.3602	+	8.58608i	−1.46647	+	0.942444i	−0.468204	+	0.883620i	$0.655099\pi$
$83$	−13.3602	+	8.58608i	−1.46647	+	0.942444i	−0.998268	+	0.0588240i	$0.981265\pi$
$84$	1.01340	−	2.44398i	0.110571	−	0.266660i
$85$	0.484152	+	3.36735i	0.0525136	+	0.365240i
$86$	−0.869002	−	4.50881i	−0.0937069	−	0.486197i
$87$	0.974653	+	0.0464285i	0.104494	+	0.00497765i
$88$	0.700061	−	3.63226i	0.0746268	−	0.387201i
$89$	2.33947	−	9.64344i	0.247984	−	1.02220i	−0.702563	−	0.711621i	$-0.747961\pi$
$89$	2.33947	−	9.64344i	0.247984	−	1.02220i	0.950547	−	0.310581i	$-0.100524\pi$
$90$	1.61403	+	3.53424i	0.170134	+	0.372541i
$91$	−4.01231	+	1.77318i	−0.420604	+	0.185879i
$92$	−2.40763	−	4.14769i	−0.251013	−	0.432426i
$93$	−0.568704	+	0.985023i	−0.0589718	+	0.102142i
$94$	−4.73395	−	3.37103i	−0.488269	−	0.347695i
$95$	5.51345	+	5.25706i	0.565668	+	0.539363i
$96$	−0.945001	+	0.327068i	−0.0964487	+	0.0333812i
$97$	0.621346	+	0.399315i	0.0630881	+	0.0405443i	0.571805	−	0.820390i	$-0.306244\pi$
$97$	0.621346	+	0.399315i	0.0630881	+	0.0405443i	−0.508717	+	0.860934i	$0.669880\pi$
$98$	3.64774	−	5.97445i	0.368477	−	0.603510i
$99$	−3.66146	+	0.526438i	−0.367990	+	0.0529090i
$100$	7.30678	−	6.96700i	0.730678	−	0.696700i
$101$	−5.72854	+	11.1118i	−0.570011	+	1.10567i	0.410986	+	0.911642i	$0.365185\pi$
$101$	−5.72854	+	11.1118i	−0.570011	+	1.10567i	−0.980997	+	0.194025i	$0.937846\pi$
$102$	0.325424	+	0.812870i	0.0322218	+	0.0804861i
$103$	−1.49374	−	2.09767i	−0.147183	−	0.206689i	0.734402	−	0.678714i	$-0.237463\pi$
$103$	−1.49374	−	2.09767i	−0.147183	−	0.206689i	−0.881585	+	0.472025i	$0.843523\pi$
$104$	1.50817	+	0.688759i	0.147888	+	0.0675384i
$105$	2.77485	+	9.89807i	0.270797	+	0.965953i
$106$	−2.64561	−	4.11664i	−0.256964	−	0.399844i
$107$	−0.589405	−	0.618150i	−0.0569799	−	0.0597589i	0.694627	−	0.719370i	$-0.255569\pi$
$107$	−0.589405	−	0.618150i	−0.0569799	−	0.0597589i	−0.751607	+	0.659611i	$0.770721\pi$
$108$	0.618159	+	0.786053i	0.0594824	+	0.0756380i
$109$	−8.42292	−	2.91520i	−0.806770	−	0.279226i	−0.107612	−	0.994193i	$-0.534320\pi$
$109$	−8.42292	−	2.91520i	−0.806770	−	0.279226i	−0.699158	+	0.714967i	$0.746442\pi$
$110$	6.58579	+	12.7746i	0.627930	+	1.21801i
$111$	3.09224	−	3.56864i	0.293502	−	0.338720i
$112$	−2.60389	+	0.468790i	−0.246044	+	0.0442965i
$113$	1.19300	−	0.544825i	0.112228	−	0.0512528i	−0.358510	−	0.933526i	$-0.616715\pi$
$113$	1.19300	−	0.544825i	0.112228	−	0.0512528i	0.470738	+	0.882273i	$0.343988\pi$
$114$	1.69803	+	0.980357i	0.159035	+	0.0918188i
$115$	17.3149	+	6.88485i	1.61462	+	0.642015i
$116$	−0.487879	−	0.845032i	−0.0452984	−	0.0784592i
$117$	0.157603	−	1.65049i	0.0145704	−	0.152588i
$118$	−1.07148	−	3.64914i	−0.0986380	−	0.335930i
$119$	0.518487	+	2.25783i	0.0475296	+	0.206975i
$120$	2.10058	−	3.26856i	0.191756	−	0.298378i
$121$	−2.63493	+	0.507840i	−0.239539	+	0.0461673i
$122$	−8.18231	+	6.43464i	−0.740791	+	0.582565i
$123$	−0.575506	−	2.37227i	−0.0518917	−	0.213900i
$124$	1.13612	−	0.0541200i	0.102026	−	0.00486012i
$125$	−2.81777	+	19.5980i	−0.252029	+	1.75290i
$126$	1.29466	+	2.30735i	0.115337	+	0.205555i
$127$	−4.11892	+	9.01918i	−0.365495	+	0.800323i	0.634137	+	0.773220i	$0.281355\pi$
$127$	−4.11892	+	9.01918i	−0.365495	+	0.800323i	−0.999633	+	0.0271026i	$0.991372\pi$
$128$	0.786053	+	0.618159i	0.0694779	+	0.0546381i
$129$	4.08134	+	2.10408i	0.359342	+	0.185254i
$130$	−6.26033	+	1.51874i	−0.549067	+	0.133202i
$131$	1.24009	−	3.09760i	0.108347	−	0.270638i	−0.864279	−	0.503012i	$-0.832225\pi$
$131$	1.24009	−	3.09760i	0.108347	−	0.270638i	0.972627	+	0.232374i	$0.0746493\pi$
$132$	2.42240	+	2.79560i	0.210843	+	0.243326i
$133$	4.03803	+	3.25654i	0.350142	+	0.282378i
$134$	11.5083	+	9.97199i	0.994165	+	0.861449i
$135$	−3.77583	−	0.916006i	−0.324972	−	0.0788372i
$136$	0.507892	−	0.713235i	0.0435514	−	0.0611594i
$137$	−6.75405	+	3.89945i	−0.577038	+	0.333153i	−0.759955	−	0.649975i	$-0.774779\pi$
$137$	−6.75405	+	3.89945i	−0.577038	+	0.333153i	0.182918	+	0.983128i	$0.441446\pi$
$138$	4.74860	+	0.671402i	0.404228	+	0.0571535i
$139$		−	21.0305i		−	1.78378i	−0.452250	−	0.891891i	$-0.649378\pi$
$139$		−	21.0305i		−	1.78378i	0.452250	−	0.891891i	$-0.350622\pi$
$140$	6.82659	−	7.68565i	0.576952	−	0.649556i
$141$	5.57614	−	1.63730i	0.469595	−	0.137886i
$142$	−4.86791	−	14.0649i	−0.408506	−	1.18030i
$143$	0.291826	−	6.12618i	0.0244037	−	0.512297i
$144$	0.327068	−	0.945001i	0.0272557	−	0.0787501i
$145$	3.51959	+	1.40903i	0.292286	+	0.117014i
$146$	−0.248633	+	0.846767i	−0.0205770	+	0.0700789i
$147$	2.44135	+	6.56047i	0.201359	+	0.541099i
$148$	−4.67392	−	0.672008i	−0.384194	−	0.0552387i
$149$	4.18050	−	2.97692i	0.342480	−	0.243879i	−0.395855	−	0.918313i	$-0.629552\pi$
$149$	4.18050	−	2.97692i	0.342480	−	0.243879i	0.738335	+	0.674434i	$0.235612\pi$
$150$	0.959681	+	10.0502i	0.0783576	+	0.820598i
$151$	22.1544	−	8.86926i	1.80290	−	0.721770i	0.812595	−	0.582829i	$-0.198054\pi$
$151$	22.1544	−	8.86926i	1.80290	−	0.721770i	0.990301	−	0.138942i	$-0.0443701\pi$
$152$	−0.0932945	−	1.95849i	−0.00756718	−	0.158855i
$153$	−0.840123	−	0.246682i	−0.0679199	−	0.0199431i
$154$	5.18977	+	8.29761i	0.418203	+	0.668640i
$155$	−3.33983	+	2.89398i	−0.268261	+	0.232450i
$156$	−1.47369	+	0.759740i	−0.117990	+	0.0608279i
$157$	−9.08497	−	1.75098i	−0.725059	−	0.139744i	−0.186649	−	0.982427i	$-0.559763\pi$
$157$	−9.08497	−	1.75098i	−0.725059	−	0.139744i	−0.538410	+	0.842683i	$0.680975\pi$
$158$	−10.6904	+	11.2117i	−0.850481	+	0.891959i
$159$	4.87130	+	0.465153i	0.386320	+	0.0368890i
$160$	−3.88535			−0.307164
$161$	12.1385	+	3.69552i	0.956648	+	0.291248i
$162$	−1.00000			−0.0785674
$163$	2.94774	+	0.281475i	0.230884	+	0.0220468i	0.209857	−	0.977732i	$-0.432700\pi$
$163$	2.94774	+	0.281475i	0.230884	+	0.0220468i	0.0210275	+	0.999779i	$0.493306\pi$
$164$	−1.68454	+	1.76669i	−0.131540	+	0.137956i
$165$	−14.1126	−	2.71998i	−1.09867	−	0.211750i
$166$	−14.1159	+	7.27723i	−1.09560	+	0.564823i
$167$	3.56237	−	3.08681i	0.275665	−	0.238865i	−0.506045	−	0.862507i	$-0.668893\pi$
$167$	3.56237	−	3.08681i	0.275665	−	0.238865i	0.781710	+	0.623642i	$0.214348\pi$
$168$	1.24112	−	2.33658i	0.0957548	−	0.180271i
$169$	−9.83579	−	2.88805i	−0.756599	−	0.222158i
$170$	0.161873	+	3.39812i	0.0124151	+	0.260624i
$171$	−1.82026	+	0.728723i	−0.139199	+	0.0557269i
$172$	−0.436477	−	4.57100i	−0.0332811	−	0.348535i
$173$	−19.3335	+	13.7673i	−1.46990	+	1.04671i	−0.484821	+	0.874613i	$0.661115\pi$
$173$	−19.3335	+	13.7673i	−1.46990	+	1.04671i	−0.985080	+	0.172098i	$0.944945\pi$
$174$	0.965827	+	0.138865i	0.0732191	+	0.0105273i
$175$	−1.59834	+	26.6635i	−0.120823	+	2.01557i
$176$	1.04216	−	3.54927i	0.0785558	−	0.267536i
$177$	3.53076	+	1.41350i	0.265388	+	0.106245i
$178$	3.24555	−	9.37739i	0.243264	−	0.702865i
$179$	0.401089	−	8.41990i	0.0299788	−	0.629333i	−0.933020	−	0.359826i	$-0.882836\pi$
$179$	0.401089	−	8.41990i	0.0299788	−	0.629333i	0.962998	−	0.269507i	$-0.0868608\pi$
$180$	1.27077	+	3.67166i	0.0947179	+	0.273669i
$181$	7.17644	−	2.10719i	0.533421	−	0.156627i	−0.00391895	−	0.999992i	$-0.501247\pi$
$181$	7.17644	−	2.10719i	0.533421	−	0.156627i	0.537340	+	0.843366i	$0.319429\pi$
$182$	−4.16269	+	1.38375i	−0.308559	+	0.102570i
$183$		−	10.4094i		−	0.769482i
$184$	−2.00247	−	4.35777i	−0.147624	−	0.321259i
$185$	15.8886	−	9.17328i	1.16815	−	0.674433i
$186$	−0.659761	+	0.926504i	−0.0483760	+	0.0679346i
$187$	−3.14761	−	0.763601i	−0.230176	−	0.0558400i
$188$	−4.39207	−	3.80575i	−0.320325	−	0.277563i
$189$	−2.61400	−	0.408642i	−0.190141	−	0.0297243i
$190$	4.98877	+	5.75734i	0.361923	+	0.417682i
$191$	8.96240	−	22.3870i	0.648497	−	1.61987i	−0.129487	−	0.991581i	$-0.541333\pi$
$191$	8.96240	−	22.3870i	0.648497	−	1.61987i	0.777983	−	0.628285i	$-0.216243\pi$
$192$	−0.971812	+	0.235759i	−0.0701345	+	0.0170144i
$193$	18.2161	+	9.39104i	1.31122	+	0.675982i	0.965020	−	0.262178i	$-0.0844406\pi$
$193$	18.2161	+	9.39104i	1.31122	+	0.675982i	0.346203	+	0.938160i	$0.387471\pi$
$194$	0.580575	+	0.456569i	0.0416829	+	0.0327798i
$195$	2.67607	−	5.85977i	0.191637	−	0.419627i
$196$	4.19913	−	5.60066i	0.299938	−	0.400047i
$197$	0.0590327	−	0.410581i	0.00420590	−	0.0292527i	−0.987610	−	0.156926i	$-0.949842\pi$
$197$	0.0590327	−	0.410581i	0.00420590	−	0.0292527i	0.991816	+	0.127673i	$0.0407508\pi$
$198$	−3.69492	+	0.176011i	−0.262587	+	0.0125085i
$199$	−3.45492	−	14.2414i	−0.244913	−	1.00955i	−0.952892	−	0.303311i	$-0.901908\pi$
$199$	−3.45492	−	14.2414i	−0.244913	−	1.00955i	0.707979	−	0.706234i	$-0.249607\pi$
$200$	7.93595	−	6.24090i	0.561156	−	0.441298i
$201$	−14.9525	+	2.88185i	−1.05467	+	0.203270i
$202$	−6.75884	+	10.5170i	−0.475551	+	0.739971i
$203$	2.46793	+	0.757670i	0.173215	+	0.0531780i
$204$	0.246682	+	0.840123i	0.0172712	+	0.0588204i
$205$	0.901554	−	9.44150i	0.0629673	−	0.659423i
$206$	−1.28758	−	2.23016i	−0.0897102	−	0.155383i
$207$	−3.46315	+	3.31762i	−0.240705	+	0.230591i
$208$	1.43587	+	0.829001i	0.0995598	+	0.0574809i
$209$	−6.59746	+	3.01296i	−0.456356	+	0.208411i
$210$	1.82141	+	10.1170i	0.125689	+	0.698141i
$211$	−17.2927	+	19.9568i	−1.19048	+	1.37388i	−0.280170	+	0.959950i	$0.590391\pi$
$211$	−17.2927	+	19.9568i	−1.19048	+	1.37388i	−0.910307	+	0.413934i	$0.864155\pi$
$212$	−2.24231	−	4.34948i	−0.154003	−	0.298724i
$213$	14.0649	+	4.86791i	0.963712	+	0.333544i
$214$	−0.527977	−	0.671378i	−0.0360918	−	0.0458944i
$215$	12.3115	+	12.9119i	0.839637	+	0.880586i
$216$	0.540641	+	0.841254i	0.0367859	+	0.0572401i
$217$	−2.10323	+	2.15228i	−0.142776	+	0.146106i
$218$	−8.10768	−	3.70265i	−0.549121	−	0.250775i
$219$	−0.511909	−	0.718875i	−0.0345916	−	0.0485771i
$220$	5.34166	+	13.3428i	0.360135	+	0.899573i
$221$	0.665221	−	1.29035i	0.0447476	−	0.0867983i
$222$	3.41746	−	3.25854i	0.229365	−	0.218699i
$223$	12.9331	−	1.85950i	0.866067	−	0.124522i	0.305060	−	0.952333i	$-0.401323\pi$
$223$	12.9331	−	1.85950i	0.866067	−	0.124522i	0.561006	+	0.827811i	$0.310414\pi$
$224$	−2.63666	+	0.219152i	−0.176169	+	0.0146427i
$225$	−8.49325	−	5.45828i	−0.566217	−	0.363885i
$226$	1.23939	−	0.428956i	0.0824428	−	0.0285337i
$227$	−4.38696	−	4.18295i	−0.291173	−	0.277632i	0.530386	−	0.847756i	$-0.322047\pi$
$227$	−4.38696	−	4.18295i	−0.291173	−	0.277632i	−0.821559	+	0.570124i	$0.806895\pi$
$228$	1.59715	+	1.13733i	0.105774	+	0.0753212i
$229$	−5.37564	+	9.31088i	−0.355232	+	0.615280i	−0.987158	−	0.159749i	$-0.948932\pi$
$229$	−5.37564	+	9.31088i	−0.355232	+	0.615280i	0.631925	+	0.775029i	$0.282265\pi$
$230$	16.5820	+	8.49956i	1.09339	+	0.560444i
$231$	−9.73046	−	1.04981i	−0.640217	−	0.0690722i
$232$	−0.405345	−	0.887581i	−0.0266122	−	0.0582725i
$233$	−5.80391	+	23.9240i	−0.380227	+	1.56732i	0.384602	+	0.923083i	$0.374339\pi$
$233$	−5.80391	+	23.9240i	−0.380227	+	1.56732i	−0.764829	+	0.644234i	$0.777176\pi$
$234$	0.313779	−	1.62804i	0.0205124	−	0.106428i
$235$	22.5543	+	1.07439i	1.47128	+	0.0700858i
$236$	−0.719759	−	3.73446i	−0.0468523	−	0.243093i
$237$	−2.20467	−	15.3339i	−0.143209	−	0.996041i
$238$	0.301519	+	2.29689i	0.0195446	+	0.148885i
$239$	−16.5560	+	10.6399i	−1.07092	+	0.688236i	−0.952442	−	0.304721i	$-0.901437\pi$
$239$	−16.5560	+	10.6399i	−1.07092	+	0.688236i	−0.118475	+	0.992957i	$0.537801\pi$
$240$	2.40176	−	3.05409i	0.155033	−	0.197141i
$241$	−0.834584	+	0.0796931i	−0.0537603	+	0.00513348i	−0.121902	−	0.992542i	$-0.538899\pi$
$241$	−0.834584	+	0.0796931i	−0.0537603	+	0.00513348i	0.0681412	+	0.997676i	$0.478293\pi$
$242$	−2.67127	+	0.255075i	−0.171716	+	0.0163969i
$243$	0.618159	−	0.786053i	0.0396549	−	0.0504253i
$244$	−8.75691	+	5.62772i	−0.560604	+	0.360278i
$245$	0.626938	+	27.1902i	0.0400536	+	1.73712i
$246$	−0.347402	−	2.41623i	−0.0221495	−	0.154053i
$247$	−0.615230	−	3.19212i	−0.0391462	−	0.203110i
$248$	1.13612	+	0.0541200i	0.0721436	+	0.00343662i
$249$	3.00556	−	15.5943i	0.190469	−	0.988249i
$250$	−4.66792	+	19.2414i	−0.295225	+	1.21693i
$251$	−5.89514	−	12.9086i	−0.372098	−	0.814780i	−0.999353	−	0.0359667i	$-0.988549\pi$
$251$	−5.89514	−	12.9086i	−0.372098	−	0.814780i	0.627255	−	0.778814i	$-0.284178\pi$
$252$	1.06947	+	2.41997i	0.0673700	+	0.152444i
$253$	−12.2121	+	12.8679i	−0.767770	+	0.808998i
$254$	−4.95760	+	8.58681i	−0.311067	+	0.538785i
$255$	−2.77117	−	1.97334i	−0.173537	−	0.123575i
$256$	0.723734	+	0.690079i	0.0452334	+	0.0431299i
$257$	0.139604	−	0.0483175i	0.00870828	−	0.00301397i	−0.322710	−	0.946498i	$-0.604594\pi$
$257$	0.139604	−	0.0483175i	0.00870828	−	0.00301397i	0.331419	+	0.943484i	$0.392473\pi$
$258$	3.86286	+	2.48251i	0.240491	+	0.154554i
$259$	10.2648	−	7.12132i	0.637825	−	0.442497i
$260$	−6.37635	+	0.916780i	−0.395444	+	0.0568563i
$261$	−0.706190	+	0.673350i	−0.0437120	+	0.0416793i
$262$	1.52892	−	2.96569i	0.0944570	−	0.183221i
$263$	1.32248	+	3.30341i	0.0815479	+	0.203697i	0.963538	−	0.267571i	$-0.0862209\pi$
$263$	1.32248	+	3.30341i	0.0815479	+	0.203697i	−0.881990	+	0.471268i	$0.843797\pi$
$264$	2.14569	+	3.01321i	0.132058	+	0.185450i
$265$	17.2947	+	7.89821i	1.06240	+	0.485183i
$266$	3.71020	+	3.62563i	0.227487	+	0.222302i
$267$	5.36487	+	8.34789i	0.328324	+	0.510883i
$268$	10.5083	+	11.0208i	0.641895	+	0.673201i
$269$	7.59460	+	9.65732i	0.463051	+	0.588817i	0.960362	−	0.278755i	$-0.0899217\pi$
$269$	7.59460	+	9.65732i	0.463051	+	0.588817i	−0.497311	+	0.867572i	$0.665679\pi$
$270$	−3.67166	−	1.27077i	−0.223450	−	0.0773368i
$271$	−8.05230	−	15.6193i	−0.489143	−	0.948804i	−0.996217	−	0.0869018i	$-0.972303\pi$
$271$	−8.05230	−	15.6193i	−0.489143	−	0.948804i	0.507074	−	0.861902i	$-0.330727\pi$
$272$	0.573390	−	0.661727i	0.0347669	−	0.0401231i
$273$	1.48550	−	4.12748i	0.0899068	−	0.249806i
$274$	−7.09414	+	3.23978i	−0.428573	+	0.195723i
$275$	−32.3426	−	18.6730i	−1.95033	−	1.12602i
$276$	4.66328	+	1.11975i	0.280696	+	0.0674007i
$277$	13.4881	+	23.3621i	0.810423	+	1.40369i	0.912568	+	0.408925i	$0.134096\pi$
$277$	13.4881	+	23.3621i	0.810423	+	1.40369i	−0.102145	+	0.994770i	$0.532571\pi$
$278$	1.99908	−	20.9353i	0.119897	−	1.25561i
$279$	−0.320445	−	1.09133i	−0.0191845	−	0.0653365i
$280$	7.52625	−	7.00194i	0.449779	−	0.418446i
$281$	−6.37703	+	9.92285i	−0.380421	+	0.591947i	−0.977680	−	0.210102i	$-0.932620\pi$
$281$	−6.37703	+	9.92285i	−0.380421	+	0.591947i	0.597258	+	0.802049i	$0.296257\pi$
$282$	5.70652	−	1.09984i	0.339819	−	0.0654946i
$283$	0.309853	−	0.243671i	0.0184189	−	0.0144847i	−0.608907	−	0.793242i	$-0.708392\pi$
$283$	0.309853	−	0.243671i	0.0184189	−	0.0144847i	0.627326	+	0.778757i	$0.284149\pi$
$284$	−3.50892	−	14.4640i	−0.208216	−	0.858278i
$285$	−7.60943	+	0.362482i	−0.450744	+	0.0214716i
$286$	0.872836	−	6.07070i	0.0516118	−	0.358968i
$287$	0.0792646	−	6.45800i	0.00467884	−	0.381204i
$288$	0.415415	−	0.909632i	0.0244786	−	0.0536006i
$289$	12.7603	+	10.0348i	0.750604	+	0.590282i
$290$	3.36972	+	1.73721i	0.197877	+	0.102013i
$291$	−0.717776	+	0.174130i	−0.0420767	+	0.0102077i
$292$	−0.327998	+	0.819298i	−0.0191946	+	0.0479458i
$293$	5.83814	+	6.73758i	0.341068	+	0.393613i	0.900208	−	0.435460i	$-0.143414\pi$
$293$	5.83814	+	6.73758i	0.341068	+	0.393613i	−0.559140	+	0.829073i	$0.688869\pi$
$294$	1.80669	+	6.76283i	0.105368	+	0.394416i
$295$	11.1675	+	9.67670i	0.650198	+	0.563400i
$296$	−4.58888	−	1.11325i	−0.266723	−	0.0647063i
$297$	2.14569	−	3.01321i	0.124506	−	0.174844i
$298$	4.44454	−	2.56606i	0.257465	−	0.148648i
$299$	−4.31455	−	6.67914i	−0.249517	−	0.386265i
$300$			10.0959i			0.582890i
$301$	9.08307	+	8.06781i	0.523539	+	0.465021i
$302$	22.8971	−	6.72320i	1.31758	−	0.386877i
$303$	−4.08885	−	11.8140i	−0.234899	−	0.678695i
$304$	0.0932945	−	1.95849i	0.00535081	−	0.112327i
$305$	13.2279	−	38.2196i	0.757429	−	2.18845i
$306$	−0.812870	−	0.325424i	−0.0464687	−	0.0186033i
$307$	1.88232	−	6.41058i	0.107430	−	0.365871i	−0.888178	−	0.459500i	$-0.848029\pi$
$307$	1.88232	−	6.41058i	0.107430	−	0.365871i	0.995607	+	0.0936289i	$0.0298467\pi$
$308$	4.37753	+	8.75335i	0.249433	+	0.498769i
$309$	2.54895	+	0.366484i	0.145005	+	0.0208486i
$310$	−3.59979	+	2.56340i	−0.204455	+	0.145591i
$311$	−2.39471	−	25.0786i	−0.135792	−	1.42208i	−0.764595	−	0.644511i	$-0.777061\pi$
$311$	−2.39471	−	25.0786i	−0.135792	−	1.42208i	0.628803	−	0.777564i	$-0.283545\pi$
$312$	−1.53924	+	0.616217i	−0.0871421	+	0.0348864i
$313$	−0.0770388	−	1.61724i	−0.00435449	−	0.0914120i	0.995644	−	0.0932381i	$-0.0297218\pi$
$313$	−0.0770388	−	1.61724i	−0.00435449	−	0.0914120i	−0.999998	+	0.00182606i	$0.999419\pi$
$314$	−8.87739	−	2.60664i	−0.500980	−	0.147101i
$315$	−9.07844	−	4.82220i	−0.511512	−	0.271700i
$316$	−11.7077	+	10.1448i	−0.658611	+	0.570689i
$317$	−19.5956	+	10.1022i	−1.10060	+	0.567398i	−0.910142	−	0.414297i	$-0.864027\pi$
$317$	−19.5956	+	10.1022i	−1.10060	+	0.567398i	−0.190457	+	0.981695i	$0.560997\pi$
$318$	4.80503	+	0.926094i	0.269453	+	0.0519328i
$319$	−2.49080	+	2.61227i	−0.139458	+	0.146259i
$320$	−3.86776	−	0.369326i	−0.216214	−	0.0206460i
$321$	0.854113			0.0476719
$322$	11.7323	+	4.83263i	0.653813	+	0.269312i
$323$	−1.71678			−0.0955243
$324$	−0.995472	−	0.0950560i	−0.0553040	−	0.00528089i
$325$	11.5513	−	12.1147i	0.640751	−	0.672000i
$326$	2.90763	+	0.560400i	0.161039	+	0.0310377i
$327$	7.92231	−	4.08424i	0.438105	−	0.225859i
$328$	−1.84484	+	1.59857i	−0.101865	+	0.0882661i
$329$	15.3663	−	0.543066i	0.847172	−	0.0299402i
$330$	−13.7902	−	4.04916i	−0.759123	−	0.222899i
$331$	1.21121	+	25.4264i	0.0665740	+	1.39756i	0.747039	+	0.664780i	$0.231475\pi$
$331$	1.21121	+	25.4264i	0.0665740	+	1.39756i	−0.680465	+	0.732780i	$0.738222\pi$
$332$	−14.7437	+	5.90248i	−0.809165	+	0.323941i
$333$	0.448853	+	4.70060i	0.0245970	+	0.257591i
$334$	3.83966	−	2.73421i	0.210097	−	0.149609i
$335$	−58.5625	−	8.42002i	−3.19961	−	0.460035i
$336$	1.45761	−	2.20802i	0.0795191	−	0.120458i
$337$	7.92996	−	27.0070i	0.431972	−	1.47116i	−0.400087	−	0.916477i	$-0.631020\pi$
$337$	7.92996	−	27.0070i	0.431972	−	1.47116i	0.832060	−	0.554686i	$-0.187162\pi$
$338$	−9.51673	−	3.80992i	−0.517642	−	0.207233i
$339$	−0.428956	+	1.23939i	−0.0232977	+	0.0673142i
$340$	−0.161873	+	3.39812i	−0.00877877	+	0.184289i
$341$	−1.37610	−	3.97599i	−0.0745202	−	0.215312i
$342$	−1.88129	+	0.552397i	−0.101729	+	0.0298702i
$343$	1.95910	+	18.4163i	0.105782	+	0.994389i
$344$		−	4.59179i		−	0.247573i
$345$	−16.9314	+	7.78029i	−0.911558	+	0.418877i
$346$	−20.5547	+	11.8672i	−1.10502	+	0.637986i
$347$	14.8372	−	20.8360i	0.796503	−	1.11853i	−0.193994	−	0.981003i	$-0.562144\pi$
$347$	14.8372	−	20.8360i	0.796503	−	1.11853i	0.990498	−	0.137530i	$-0.0439163\pi$
$348$	0.948253	+	0.230044i	0.0508317	+	0.0123316i
$349$	−4.17250	−	3.61549i	−0.223349	−	0.193533i	0.535998	−	0.844220i	$-0.319936\pi$
$349$	−4.17250	−	3.61549i	−0.223349	−	0.193533i	−0.759346	+	0.650687i	$0.774481\pi$
$350$	−4.12563	+	26.3908i	−0.220524	+	1.41065i
$351$	1.08576	+	1.25303i	0.0579536	+	0.0668820i
$352$	1.37482	−	3.43414i	0.0732782	−	0.183040i
$353$	14.9167	−	3.61875i	0.793934	−	0.192606i	0.181774	−	0.983340i	$-0.441816\pi$
$353$	14.9167	−	3.61875i	0.793934	−	0.192606i	0.612160	+	0.790734i	$0.290301\pi$
$354$	3.38041	+	1.74272i	0.179667	+	0.0926247i
$355$	45.4555	+	35.7466i	2.41253	+	1.89723i
$356$	4.12223	−	9.02642i	0.218478	−	0.478400i
$357$	−1.99186	−	1.18283i	−0.105421	−	0.0626021i
$358$	1.19964	−	8.34365i	0.0634027	−	0.440975i
$359$	6.11166	−	0.291134i	0.322561	−	0.0153655i	0.114323	−	0.993444i	$-0.463530\pi$
$359$	6.11166	−	0.291134i	0.322561	−	0.0153655i	0.208238	+	0.978078i	$0.433227\pi$
$360$	0.916006	+	3.77583i	0.0482778	+	0.199004i
$361$	11.9131	−	9.36857i	0.627006	−	0.493083i
$362$	7.34425	−	1.41549i	0.386005	−	0.0743964i
$363$	1.45077	−	2.25744i	0.0761455	−	0.118485i
$364$	−4.27538	+	0.981797i	−0.224091	+	0.0514601i
$365$	−0.966027	−	3.28998i	−0.0505641	−	0.172206i
$366$	0.989472	−	10.3622i	0.0517205	−	0.541642i
$367$	−10.6356	−	18.4213i	−0.555172	−	0.961586i	−0.997890	−	0.0649254i	$-0.979319\pi$
$367$	−10.6356	−	18.4213i	−0.555172	−	0.961586i	0.442718	−	0.896661i	$-0.354014\pi$
$368$	−1.57917	−	4.52838i	−0.0823199	−	0.236058i
$369$	2.11404	+	1.22054i	0.110052	+	0.0635388i
$370$	16.6886	−	7.62143i	0.867599	−	0.396219i
$371$	12.1819	+	4.38435i	0.632454	+	0.227624i
$372$	−0.744843	+	0.859595i	−0.0386183	+	0.0445679i
$373$	−7.32236	−	14.2034i	−0.379137	−	0.735424i	0.619639	−	0.784887i	$-0.287279\pi$
$373$	−7.32236	−	14.2034i	−0.379137	−	0.735424i	−0.998776	+	0.0494634i	$0.984249\pi$
$374$	−3.06077	−	1.05934i	−0.158269	−	0.0547773i
$375$	−12.2393	−	15.5635i	−0.632033	−	0.803695i
$376$	−4.01043	−	4.20601i	−0.206822	−	0.216909i
$377$	−0.874654	−	1.36099i	−0.0450469	−	0.0700944i
$378$	−2.56332	−	0.655268i	−0.131843	−	0.0337034i
$379$	−16.9298	−	7.73160i	−0.869628	−	0.397146i	−0.0699326	−	0.997552i	$-0.522278\pi$
$379$	−16.9298	−	7.73160i	−0.869628	−	0.397146i	−0.799695	+	0.600406i	$0.795006\pi$
$380$	4.41891	+	6.20549i	0.226685	+	0.318335i
$381$	−3.68511	−	9.20495i	−0.188794	−	0.471584i
$382$	11.0498	−	21.4337i	0.565359	−	1.09664i
$383$	−26.4117	+	25.1835i	−1.34958	+	1.28682i	−0.425323	+	0.905042i	$0.639840\pi$
$383$	−26.4117	+	25.1835i	−1.34958	+	1.28682i	−0.924254	+	0.381778i	$0.875312\pi$
$384$	−0.989821	+	0.142315i	−0.0505116	+	0.00726247i
$385$	−34.3929	−	16.2197i	−1.75282	−	0.826635i
$386$	17.2409	+	11.0801i	0.877540	+	0.563961i
$387$	−4.33924	+	1.50183i	−0.220576	+	0.0763422i
$388$	0.534547	+	0.509689i	0.0271375	+	0.0258755i
$389$	−13.3652	−	9.51734i	−0.677644	−	0.482548i	0.188675	−	0.982040i	$-0.439581\pi$
$389$	−13.3652	−	9.51734i	−0.677644	−	0.482548i	−0.866319	+	0.499491i	$0.833520\pi$
$390$	3.22096	−	5.57886i	0.163100	−	0.282497i
$391$	−3.89472	+	1.56980i	−0.196965	+	0.0793883i
$392$	4.71249	−	5.17614i	0.238017	−	0.261435i
$393$	1.38608	+	3.03508i	0.0699183	+	0.153100i
$394$	0.0977936	−	0.403111i	0.00492677	−	0.0203084i
$395$	11.3910	−	59.1023i	0.573145	−	2.97376i
$396$	−3.69492	−	0.176011i	−0.185677	−	0.00884487i
$397$	6.94544	+	36.0364i	0.348582	+	1.80861i	0.556931	+	0.830559i	$0.311979\pi$
$397$	6.94544	+	36.0364i	0.348582	+	1.80861i	−0.208349	+	0.978055i	$0.566809\pi$
$398$	−2.08555	−	14.5053i	−0.104539	−	0.727086i
$399$	−5.14343	+	0.675193i	−0.257494	+	0.0338019i
$400$	8.49325	−	5.45828i	0.424663	−	0.272914i
$401$	−4.92785	+	6.26627i	−0.246085	+	0.312923i	−0.893367	−	0.449328i	$-0.851663\pi$
$401$	−4.92785	+	6.26627i	−0.246085	+	0.312923i	0.647282	+	0.762251i	$0.275906\pi$
$402$	−15.1587	+	1.44748i	−0.756047	+	0.0721937i
$403$	1.87728	−	0.179259i	0.0935142	−	0.00892952i
$404$	−7.72794	+	9.82688i	−0.384479	+	0.488905i
$405$	3.26856	−	2.10058i	0.162416	−	0.104379i
$406$	2.38473	+	0.988831i	0.118352	+	0.0490749i
$407$	2.48583	+	17.2893i	0.123218	+	0.857001i
$408$	0.165707	+	0.859767i	0.00820370	+	0.0425648i
$409$	−32.2303	−	1.53532i	−1.59368	−	0.0759165i	−0.768150	−	0.640269i	$-0.778823\pi$
$409$	−32.2303	−	1.53532i	−1.59368	−	0.0759165i	−0.825534	+	0.564353i	$0.809126\pi$
$410$	1.79494	−	9.31305i	0.0886460	−	0.459939i
$411$	1.83866	−	7.57907i	0.0906945	−	0.373848i
$412$	−1.06976	−	2.34245i	−0.0527034	−	0.115404i
$413$	8.12426	+	5.93686i	0.399769	+	0.292134i
$414$	−3.76283	+	2.97340i	−0.184933	+	0.146135i
$415$	30.8522	−	53.4376i	1.51448	−	2.62315i
$416$	1.35057	+	0.961735i	0.0662171	+	0.0471530i
$417$	15.2205	+	14.5127i	0.745350	+	0.710690i
$418$	−6.85399	+	2.37219i	−0.335240	+	0.116028i
$419$	−26.7570	−	17.1957i	−1.30716	−	0.840064i	−0.313192	−	0.949690i	$-0.601398\pi$
$419$	−26.7570	−	17.1957i	−1.30716	−	0.840064i	−0.993973	+	0.109626i	$0.965035\pi$
$420$	0.851481	+	10.2443i	0.0415480	+	0.499873i
$421$	−1.39880	+	0.201118i	−0.0681735	+	0.00980188i	−0.176317	−	0.984333i	$-0.556418\pi$
$421$	−1.39880	+	0.201118i	−0.0681735	+	0.00980188i	0.108144	+	0.994135i	$0.465509\pi$
$422$	−19.1114	+	18.2227i	−0.930328	+	0.887066i
$423$	−2.66300	+	5.16551i	−0.129480	+	0.251156i
$424$	−1.81872	−	4.54293i	−0.0883247	−	0.220624i
$425$	−5.12765	−	7.20078i	−0.248728	−	0.349289i
$426$	13.5385	+	6.18283i	0.655943	+	0.299559i
$427$	6.82092	−	26.6825i	0.330088	−	1.29126i
$428$	−0.461768	−	0.718525i	−0.0223204	−	0.0347312i
$429$	4.23235	+	4.43876i	0.204340	+	0.214305i
$430$	11.0284	+	14.0237i	0.531836	+	0.676285i
$431$	36.7871	+	12.7321i	1.77197	+	0.613286i	0.999756	−	0.0220746i	$-0.00702714\pi$
$431$	36.7871	+	12.7321i	1.77197	+	0.613286i	0.772216	+	0.635360i	$0.219148\pi$
$432$	0.458227	+	0.888835i	0.0220464	+	0.0427641i
$433$	20.7682	−	23.9677i	0.998054	−	1.15182i	0.00965227	−	0.999953i	$-0.496928\pi$
$433$	20.7682	−	23.9677i	0.998054	−	1.15182i	0.988402	−	0.151862i	$-0.0485270\pi$
$434$	−2.29829	+	1.94261i	−0.110321	+	0.0932482i
$435$	−3.44856	+	1.57491i	−0.165346	+	0.0755110i
$436$	−7.71901	−	4.45657i	−0.369673	−	0.213431i
$437$	−4.68255	+	8.15444i	−0.223997	+	0.390080i
$438$	−0.441257	−	0.764280i	−0.0210841	−	0.0365187i
$439$	1.91513	−	20.0562i	0.0914042	−	0.957228i	−0.827163	−	0.561963i	$-0.810046\pi$
$439$	1.91513	−	20.0562i	0.0914042	−	0.957228i	0.918567	−	0.395266i	$-0.129347\pi$
$440$	4.04916	+	13.7902i	0.193036	+	0.657420i
$441$	−6.43276	−	2.76035i	−0.306322	−	0.131445i
$442$	0.784865	−	1.22127i	0.0373322	−	0.0580901i
$443$	20.5375	−	3.95828i	0.975766	−	0.188063i	0.323645	−	0.946179i	$-0.395092\pi$
$443$	20.5375	−	3.95828i	0.975766	−	0.188063i	0.652121	+	0.758115i	$0.273879\pi$
$444$	3.71173	−	2.91894i	0.176151	−	0.138527i
$445$	9.08967	+	37.4681i	0.430892	+	1.77616i
$446$	13.0513	−	0.621711i	0.617998	−	0.0294389i
$447$	−0.730376	+	5.07988i	−0.0345456	+	0.240270i
$448$	−2.64555	−	0.0324711i	−0.124991	−	0.00153412i
$449$	2.70970	−	5.93341i	0.127878	−	0.280015i	−0.834853	−	0.550472i	$-0.814448\pi$
$449$	2.70970	−	5.93341i	0.127878	−	0.280015i	0.962732	+	0.270457i	$0.0871749\pi$
$450$	−7.93595	−	6.24090i	−0.374104	−	0.294199i
$451$	8.02603	+	4.13770i	0.377931	+	0.194837i
$452$	1.27455	−	0.309202i	0.0599498	−	0.0145437i
$453$	−8.86926	+	22.1544i	−0.416714	+	1.04090i
$454$	−3.96948	−	4.58102i	−0.186297	−	0.214998i
$455$	10.6994	−	13.2669i	0.501593	−	0.621964i
$456$	1.48181	+	1.28399i	0.0693920	+	0.0601285i
$457$	−16.6785	−	4.04615i	−0.780185	−	0.189271i	−0.174161	−	0.984717i	$-0.555721\pi$
$457$	−16.6785	−	4.04615i	−0.780185	−	0.189271i	−0.606024	+	0.795446i	$0.707236\pi$
$458$	−6.23635	+	8.75773i	−0.291406	+	0.409222i
$459$	0.758284	−	0.437795i	0.0353936	−	0.0204345i
$460$	15.6990	+	10.0373i	0.731971	+	0.467991i
$461$			37.1293i			1.72928i	0.502388	+	0.864642i	$0.332455\pi$
$461$			37.1293i			1.72928i	−0.502388	+	0.864642i	$0.667545\pi$
$462$	−9.58661	−	1.96999i	−0.446009	−	0.0916523i
$463$	20.8586	−	6.12463i	0.969380	−	0.284636i	0.241546	−	0.970389i	$-0.422345\pi$
$463$	20.8586	−	6.12463i	0.969380	−	0.284636i	0.727834	+	0.685754i	$0.240527\pi$
$464$	−0.319139	−	0.922092i	−0.0148157	−	0.0428071i
$465$	0.210275	−	4.41422i	0.00975128	−	0.204705i
$466$	−8.05176	+	23.2640i	−0.372990	+	1.07768i
$467$	40.0391	+	16.0292i	1.85279	+	0.741745i	0.950617	+	0.310368i	$0.100452\pi$
$467$	40.0391	+	16.0292i	1.85279	+	0.741745i	0.902172	+	0.431377i	$0.141972\pi$
$468$	0.467113	−	1.59084i	0.0215923	−	0.0735366i
$469$	−40.2164	−	2.41076i	−1.85702	−	0.111319i
$470$	22.3501	+	3.21345i	1.03093	+	0.148226i
$471$	7.53659	−	5.36678i	0.347268	−	0.247288i
$472$	−0.361516	−	3.78597i	−0.0166401	−	0.174263i
$473$	−15.7688	+	6.31289i	−0.725051	+	0.290267i
$474$	−0.737117	−	15.4740i	−0.0338569	−	0.710744i
$475$	−18.9934	−	5.57697i	−0.871477	−	0.255889i
$476$	0.0818205	+	2.31515i	0.00375024	+	0.106115i
$477$	−3.69823	+	3.20454i	−0.169330	+	0.146726i
$478$	−17.4924	+	9.01795i	−0.800083	+	0.412472i
$479$	−4.16995	−	0.803692i	−0.190530	−	0.0367216i	0.0930935	−	0.995657i	$-0.470324\pi$
$479$	−4.16995	−	0.803692i	−0.190530	−	0.0367216i	−0.283623	+	0.958936i	$0.591537\pi$
$480$	2.68120	−	2.81196i	0.122379	−	0.128348i
$481$	−7.79360	−	0.744199i	−0.355358	−	0.0339325i
$482$	−0.838380			−0.0381872
$483$	−11.0511	+	6.23484i	−0.502842	+	0.283695i
$484$	−2.68342			−0.121974
$485$	−2.85671	−	0.272782i	−0.129716	−	0.0123864i
$486$	0.690079	−	0.723734i	0.0313026	−	0.0328292i
$487$	−21.6330	−	4.16941i	−0.980283	−	0.188934i	−0.326154	−	0.945317i	$-0.605753\pi$
$487$	−21.6330	−	4.16941i	−0.980283	−	0.188934i	−0.654129	+	0.756383i	$0.726965\pi$
$488$	−9.25220	+	4.76984i	−0.418828	+	0.215921i
$489$	−2.23788	+	1.93914i	−0.101201	+	0.0876908i
$490$	−1.96050	+	27.1267i	−0.0885662	+	1.22546i
$491$	3.24213	+	0.951975i	0.146315	+	0.0429620i	0.354070	−	0.935219i	$-0.384797\pi$
$491$	3.24213	+	0.951975i	0.146315	+	0.0429620i	−0.207755	+	0.978181i	$0.566616\pi$
$492$	−0.116151	−	2.43831i	−0.00523650	−	0.109928i
$493$	−0.793165	+	0.317535i	−0.0357223	+	0.0143011i
$494$	−0.309014	−	3.23615i	−0.0139032	−	0.145601i
$495$	11.7074	−	8.33678i	0.526207	−	0.374710i
$496$	1.12583	+	0.161870i	0.0505513	+	0.00726817i
$497$	32.8631	+	21.6943i	1.47411	+	0.973123i
$498$	4.47428	−	15.2380i	0.200497	−	0.682831i
$499$	−25.0752	−	10.0386i	−1.12252	−	0.449389i	−0.265210	−	0.964191i	$-0.585441\pi$
$499$	−25.0752	−	10.0386i	−1.12252	−	0.449389i	−0.857309	+	0.514802i	$0.827866\pi$
$500$	−6.47579	+	18.7106i	−0.289606	+	0.836762i
$501$	−0.224287	+	4.70836i	−0.0100204	+	0.210354i
$502$	−4.64141	−	13.4105i	−0.207156	−	0.598538i
$503$	38.5466	−	11.3183i	1.71871	−	0.504659i	0.734042	−	0.679104i	$-0.237631\pi$
$503$	38.5466	−	11.3183i	1.71871	−	0.504659i	0.984667	+	0.174445i	$0.0558132\pi$
$504$	0.834590	+	2.51067i	0.0371756	+	0.111834i
$505$		−	48.5729i		−	2.16146i
$506$	−13.3800	+	11.6488i	−0.594813	+	0.517852i
$507$	8.87765	−	5.12552i	0.394270	−	0.227632i
$508$	−5.75138	+	8.07668i	−0.255176	+	0.358345i
$509$	−17.0817	−	4.14399i	−0.757135	−	0.183679i	−0.161432	−	0.986884i	$-0.551611\pi$
$509$	−17.0817	−	4.14399i	−0.757135	−	0.183679i	−0.595703	+	0.803205i	$0.703126\pi$
$510$	−2.57104	−	2.22782i	−0.113848	−	0.0986495i
$511$	−0.841131	−	2.17815i	−0.0372094	−	0.0963555i
$512$	0.654861	+	0.755750i	0.0289410	+	0.0333997i
$513$	0.728723	−	1.82026i	0.0321739	−	0.0803666i
$514$	0.143565	−	0.0348285i	0.00633239	−	0.00153622i
$515$	8.89317	+	4.58475i	0.391880	+	0.202028i
$516$	3.60939	+	2.83846i	0.158895	+	0.124956i
$517$	−8.93040	+	19.5549i	−0.392759	+	0.860022i
$518$	10.8953	−	6.11334i	0.478711	−	0.268605i
$519$	3.37777	−	23.4929i	0.148268	−	1.03122i
$520$	−6.43462	+	0.306519i	−0.282177	+	0.0134417i
$521$	2.32924	+	9.60126i	0.102046	+	0.420639i	0.999803	−	0.0198522i	$-0.00631956\pi$
$521$	2.32924	+	9.60126i	0.102046	+	0.420639i	−0.897757	+	0.440491i	$0.854804\pi$
$522$	−0.766998	+	0.603174i	−0.0335706	+	0.0264002i
$523$	−5.94367	+	1.14555i	−0.259899	+	0.0500914i	−0.317536	−	0.948246i	$-0.602855\pi$
$523$	−5.94367	+	1.14555i	−0.259899	+	0.0500914i	0.0576373	+	0.998338i	$0.481643\pi$
$524$	1.80390	−	2.80693i	0.0788039	−	0.122621i
$525$	−18.1943	−	19.5567i	−0.794064	−	0.853524i
$526$	1.00249	+	3.41416i	0.0437105	+	0.148864i
$527$	0.0946666	−	0.991393i	0.00412374	−	0.0431858i
$528$	1.84956	+	3.20352i	0.0804916	+	0.139415i
$529$	−3.16660	+	22.7810i	−0.137678	+	0.990477i
$530$	16.4656	+	9.50641i	0.715219	+	0.412932i
$531$	−3.45951	+	1.57990i	−0.150130	+	0.0685620i
$532$	3.34876	+	3.96189i	0.145187	+	0.171770i
$533$	−2.65043	+	3.05876i	−0.114803	+	0.132489i
$534$	4.54706	+	8.82006i	0.196770	+	0.381681i
$535$	3.13601	+	1.08538i	0.135582	+	0.0469252i
$536$	9.41311	+	11.9697i	0.406584	+	0.517014i
$537$	5.81698	+	6.10068i	0.251021	+	0.263264i
$538$	6.64222	+	10.3355i	0.286367	+	0.445595i
$539$	−24.2544	−	9.06706i	−1.04471	−	0.390546i
$540$	−3.53424	−	1.61403i	−0.152089	−	0.0694569i
$541$	8.79498	+	12.3508i	0.378126	+	0.531004i	0.959156	−	0.282879i	$-0.0912894\pi$
$541$	8.79498	+	12.3508i	0.378126	+	0.531004i	−0.581030	+	0.813882i	$0.697350\pi$
$542$	−6.53113	−	16.3140i	−0.280536	−	0.700746i
$543$	−3.42727	+	6.64797i	−0.147078	+	0.285292i
$544$	0.633695	−	0.604227i	0.0271694	−	0.0259060i
$545$	34.2782	−	4.92846i	1.46832	−	0.211112i
$546$	1.87112	−	3.96758i	0.0800765	−	0.169797i
$547$	−35.9509	−	23.1042i	−1.53715	−	0.987866i	−0.988399	−	0.151879i	$-0.951468\pi$
$547$	−35.9509	−	23.1042i	−1.53715	−	0.987866i	−0.548750	−	0.835987i	$-0.684896\pi$
$548$	−7.36998	+	2.55077i	−0.314830	+	0.108964i
$549$	7.53361	+	7.18328i	0.321526	+	0.306575i
$550$	−30.4212	−	21.6628i	−1.29716	−	0.923706i
$551$	−0.956591	+	1.65686i	−0.0407522	+	0.0705848i
$552$	4.53572	+	1.55795i	0.193053	+	0.0663107i
$553$	4.39649	−	40.7503i	0.186958	−	1.73288i
$554$	11.2063	+	24.5385i	0.476112	+	1.04254i
$555$	−4.32536	+	17.8294i	−0.183601	+	0.756815i
$556$	3.98005	−	20.6504i	0.168792	−	0.875774i
$557$	−15.2089	−	0.724489i	−0.644421	−	0.0306976i	−0.277172	−	0.960820i	$-0.589397\pi$
$557$	−15.2089	−	0.724489i	−0.644421	−	0.0306976i	−0.367249	+	0.930123i	$0.619700\pi$
$558$	−0.215256	−	1.11685i	−0.00911250	−	0.0472801i
$559$	−1.08347	−	7.53570i	−0.0458259	−	0.318726i
$560$	8.15775	−	6.25482i	0.344728	−	0.264314i
$561$	2.72474	−	1.75108i	0.115039	−	0.0739309i
$562$	−7.29138	+	9.27174i	−0.307568	+	0.391105i
$563$	−26.8636	+	2.56516i	−1.13216	+	0.108109i	−0.644273	−	0.764795i	$-0.722840\pi$
$563$	−26.8636	+	2.56516i	−1.13216	+	0.108109i	−0.487892	+	0.872904i	$0.662234\pi$
$564$	5.78523	−	0.552423i	0.243602	−	0.0232612i
$565$	−3.14996	+	4.00550i	−0.132520	+	0.168513i
$566$	0.331613	−	0.213114i	0.0139387	−	0.00895787i
$567$	2.09962	−	1.60985i	0.0881756	−	0.0676073i
$568$	−2.11814	−	14.7320i	−0.0888753	−	0.618141i
$569$	0.279683	+	1.45113i	0.0117249	+	0.0608346i	0.987320	−	0.158743i	$-0.0507442\pi$
$569$	0.279683	+	1.45113i	0.0117249	+	0.0608346i	−0.975595	+	0.219578i	$0.929532\pi$
$570$	−7.60943	−	0.362482i	−0.318724	−	0.0151827i
$571$	−2.50193	+	12.9812i	−0.104703	+	0.543248i	0.891261	+	0.453491i	$0.149821\pi$
$571$	−2.50193	+	12.9812i	−0.104703	+	0.543248i	−0.995964	+	0.0897578i	$0.971391\pi$
$572$	1.44594	−	5.96025i	0.0604578	−	0.249210i
$573$	10.0175	+	21.9352i	0.418486	+	0.916356i
$574$	0.692778	−	6.42123i	0.0289160	−	0.268017i
$575$	−48.1883	+	4.71530i	−2.00959	+	0.196642i
$576$	0.500000	−	0.866025i	0.0208333	−	0.0360844i
$577$	−32.3030	−	23.0028i	−1.34479	−	0.957620i	−0.999819	−	0.0190066i	$-0.993950\pi$
$577$	−32.3030	−	23.0028i	−1.34479	−	0.957620i	−0.344970	−	0.938614i	$-0.612111\pi$
$578$	11.7486	+	11.2023i	0.488678	+	0.465954i
$579$	−19.3672	+	6.70304i	−0.804872	+	0.278569i
$580$	3.18933	+	2.04966i	0.132430	+	0.0851074i
$581$	17.9227	−	38.0038i	0.743557	−	1.57666i
$582$	−0.731078	+	0.105113i	−0.0303041	+	0.00435708i
$583$	−13.1006	+	12.4914i	−0.542573	+	0.517342i
$584$	−0.404392	+	0.784410i	−0.0167338	+	0.0324591i
$585$	2.39422	+	5.98047i	0.0989888	+	0.247262i
$586$	5.17126	+	7.26202i	0.213623	+	0.299991i
$587$	33.9181	+	15.4899i	1.39995	+	0.639336i	0.965272	−	0.261249i	$-0.0841342\pi$
$587$	33.9181	+	15.4899i	1.39995	+	0.639336i	0.434680	+	0.900585i	$0.356861\pi$
$588$	1.15566	+	6.90395i	0.0476585	+	0.284714i
$589$	−1.20570	−	1.87610i	−0.0496800	−	0.0773035i
$590$	10.1971	+	10.6944i	0.419809	+	0.440283i
$591$	0.256414	+	0.326057i	0.0105475	+	0.0134122i
$592$	−4.46228	−	1.54441i	−0.183398	−	0.0634748i
$593$	−6.20751	−	12.0409i	−0.254912	−	0.494460i	0.726304	−	0.687374i	$-0.241237\pi$
$593$	−6.20751	−	12.0409i	−0.254912	−	0.494460i	−0.981216	+	0.192914i	$0.938206\pi$
$594$	2.42240	−	2.79560i	0.0993924	−	0.114705i
$595$	−5.81033	−	6.87416i	−0.238200	−	0.281813i
$596$	4.66833	−	2.13196i	0.191222	−	0.0873284i
$597$	12.6911	+	7.32724i	0.519414	+	0.299884i
$598$	−3.66012	−	7.05902i	−0.149674	−	0.288665i
$599$	−4.98775	−	8.63903i	−0.203794	−	0.352981i	0.745954	−	0.665998i	$-0.231994\pi$
$599$	−4.98775	−	8.63903i	−0.203794	−	0.352981i	−0.949748	+	0.313016i	$0.898661\pi$
$600$	−0.959681	+	10.0502i	−0.0391788	+	0.410299i
$601$	4.23552	+	14.4248i	0.172770	+	0.588402i	0.999661	+	0.0260390i	$0.00828940\pi$
$601$	4.23552	+	14.4248i	0.172770	+	0.588402i	−0.826891	+	0.562363i	$0.809892\pi$
$602$	8.27504	+	8.89468i	0.337266	+	0.362520i
$603$	8.23269	−	12.8103i	0.335261	−	0.521676i
$604$	23.4325	−	4.51625i	0.953455	−	0.183763i
$605$	8.19541	−	6.44494i	0.333191	−	0.262024i
$606$	−2.94735	−	12.1491i	−0.119728	−	0.493525i
$607$	22.5966	−	1.07641i	0.917170	−	0.0436902i	0.416314	−	0.909221i	$-0.363322\pi$
$607$	22.5966	−	1.07641i	0.917170	−	0.0436902i	0.500856	+	0.865531i	$0.333019\pi$
$608$	0.279039	−	1.94076i	0.0113165	−	0.0787080i
$609$	−2.25142	+	1.26327i	−0.0912320	+	0.0511903i
$610$	16.8010	−	36.7891i	0.680254	−	1.48955i
$611$	−7.57406	−	5.95630i	−0.306413	−	0.240966i
$612$	−0.778256	−	0.401219i	−0.0314591	−	0.0162183i
$613$	7.65821	−	1.85786i	0.309312	−	0.0750383i	−0.0780983	−	0.996946i	$-0.524885\pi$
$613$	7.65821	−	1.85786i	0.309312	−	0.0750383i	0.387410	+	0.921907i	$0.373370\pi$
$614$	2.48316	−	6.20263i	0.100212	−	0.250318i
$615$	6.21099	+	7.16787i	0.250451	+	0.289036i
$616$	3.52565	+	9.12983i	0.142052	+	0.367851i
$617$	19.4794	+	16.8790i	0.784212	+	0.679524i	0.951931	−	0.306311i	$-0.0990948\pi$
$617$	19.4794	+	16.8790i	0.784212	+	0.679524i	−0.167719	+	0.985835i	$0.553640\pi$
$618$	2.50258	+	0.607118i	0.100668	+	0.0244219i
$619$	−19.6216	+	27.5547i	−0.788658	+	1.10752i	0.203070	+	0.979164i	$0.434908\pi$
$619$	−19.6216	+	27.5547i	−0.788658	+	1.10752i	−0.991729	+	0.128352i	$0.959031\pi$
$620$	−3.82716	+	2.20961i	−0.153702	+	0.0887402i
$621$	−0.0112284	−	4.79582i	−0.000450580	−	0.192450i
$622$		−	25.1926i		−	1.01013i
$623$	8.28177	+	24.9138i	0.331802	+	0.998149i
$624$	−1.59084	+	0.467113i	−0.0636846	+	0.0186995i
$625$	−8.65042	−	24.9938i	−0.346017	−	0.999750i
$626$	0.0770388	−	1.61724i	0.00307909	−	0.0646381i
$627$	2.37219	−	6.85399i	0.0947361	−	0.273722i
$628$	−8.58941	−	3.43868i	−0.342755	−	0.137218i
$629$	−1.16483	+	3.96704i	−0.0464448	+	0.158176i
$630$	−8.57895	−	5.66332i	−0.341794	−	0.225632i
$631$	11.7622	+	1.69116i	0.468248	+	0.0673239i	0.372400	−	0.928072i	$-0.378535\pi$
$631$	11.7622	+	1.69116i	0.468248	+	0.0673239i	0.0958474	+	0.995396i	$0.469444\pi$
$632$	−12.6190	+	8.98597i	−0.501958	+	0.357443i
$633$	−2.51011	−	26.2871i	−0.0997680	−	1.04482i
$634$	−20.4672	+	8.19381i	−0.812855	+	0.325418i
$635$	−1.83305	−	38.4804i	−0.0727422	−	1.52705i
$636$	4.69524	+	1.37865i	0.186178	+	0.0546669i
$637$	6.51243	−	9.60665i	0.258032	−	0.380629i
$638$	−2.72783	+	2.36368i	−0.107996	+	0.0935790i
$639$	−13.2290	+	6.82001i	−0.523330	+	0.269795i
$640$	−3.81514	−	0.735307i	−0.150807	−	0.0290656i
$641$	28.8983	−	30.3077i	1.14142	−	1.19708i	0.163842	−	0.986487i	$-0.447611\pi$
$641$	28.8983	−	30.3077i	1.14142	−	1.19708i	0.977573	−	0.210596i	$-0.0675403\pi$
$642$	0.850245	+	0.0811886i	0.0335565	+	0.00320426i
$643$	−0.342099			−0.0134911			−0.00674554	−	0.999977i	$-0.502147\pi$
$643$	−0.342099			−0.0134911			−0.00674554	+	0.999977i	$0.502147\pi$
$644$	11.2198	+	5.92597i	0.442120	+	0.233516i
$645$	−17.8407			−0.702477
$646$	−1.70901	−	0.163190i	−0.0672400	−	0.00642064i
$647$	11.1302	−	11.6730i	0.437572	−	0.458912i	−0.467611	−	0.883934i	$-0.654885\pi$
$647$	11.1302	−	11.6730i	0.437572	−	0.458912i	0.905183	+	0.425022i	$0.139734\pi$
$648$	−0.981929	−	0.189251i	−0.0385738	−	0.00743449i
$649$	−12.5045	+	6.44653i	−0.490845	+	0.253048i
$650$	12.6506	−	10.9618i	0.496196	−	0.429956i
$651$	−0.106286	−	3.00742i	−0.00416569	−	0.117870i
$652$	2.84120	+	0.834251i	0.111270	+	0.0326718i
$653$	−2.06420	−	43.3328i	−0.0807782	−	1.69574i	−0.568451	−	0.822717i	$-0.692457\pi$
$653$	−2.06420	−	43.3328i	−0.0807782	−	1.69574i	0.487673	−	0.873027i	$-0.337846\pi$
$654$	8.27467	−	3.31268i	0.323565	−	0.129536i
$655$	1.23229	+	12.9052i	0.0481497	+	0.504247i
$656$	−1.98844	+	1.41597i	−0.0776357	+	0.0552841i
$657$	0.873532	+	0.125595i	0.0340797	+	0.00489992i
$658$	15.3484	+	0.920054i	0.598341	+	0.0358674i
$659$	−2.30339	+	7.84463i	−0.0897273	+	0.305583i	−0.992113	−	0.125346i	$-0.959996\pi$
$659$	−2.30339	+	7.84463i	−0.0897273	+	0.305583i	0.902386	+	0.430929i	$0.141814\pi$
$660$	−13.3428	−	5.34166i	−0.519369	−	0.207924i
$661$	−4.52557	+	13.0758i	−0.176024	+	0.508589i	−0.998155	−	0.0607094i	$-0.980664\pi$
$661$	−4.52557	+	13.0758i	−0.176024	+	0.508589i	0.822131	+	0.569298i	$0.192785\pi$
$662$	−1.21121	+	25.4264i	−0.0470749	+	0.988224i
$663$	0.474815	+	1.37189i	0.0184403	+	0.0532797i
$664$	−15.2380	+	4.47428i	−0.591349	+	0.173636i
$665$	−19.7429	−	4.05706i	−0.765598	−	0.157326i
$666$			4.72198i			0.182973i
$667$	−0.655126	+	4.63349i	−0.0253666	+	0.179409i
$668$	4.08218	−	2.35685i	0.157944	−	0.0911892i
$669$	−7.57910	+	10.6434i	−0.293025	+	0.411496i
$670$	−57.4970	−	13.9486i	−2.22130	−	0.538882i
$671$	29.1004	+	25.2156i	1.12341	+	0.973439i
$672$	1.66090	−	2.05947i	0.0640704	−	0.0794459i
$673$	1.55961	+	1.79988i	0.0601184	+	0.0693803i	0.785012	−	0.619480i	$-0.212657\pi$
$673$	1.55961	+	1.79988i	0.0601184	+	0.0693803i	−0.724894	+	0.688861i	$0.758111\pi$
$674$	10.4612	−	26.1309i	0.402951	−	1.00652i
$675$	9.81136	−	2.38021i	0.377639	−	0.0916143i
$676$	−9.11148	−	4.69729i	−0.350442	−	0.180665i
$677$	−17.7125	−	13.9292i	−0.680745	−	0.535344i	0.216828	−	0.976210i	$-0.430429\pi$
$677$	−17.7125	−	13.9292i	−0.680745	−	0.535344i	−0.897573	+	0.440866i	$0.854671\pi$
$678$	−0.544825	+	1.19300i	−0.0209239	+	0.0458169i
$679$	−1.95399	−	0.0239830i	−0.0749874	−	0.000920384i
$680$	−0.484152	+	3.36735i	−0.0185664	+	0.129132i
$681$	6.05469	−	0.288421i	0.232016	−	0.0110523i
$682$	−0.991931	−	4.08879i	−0.0379830	−	0.156568i
$683$	−18.1964	+	14.3098i	−0.696264	+	0.547548i	−0.902360	−	0.430984i	$-0.858167\pi$
$683$	−18.1964	+	14.3098i	−0.696264	+	0.547548i	0.206096	+	0.978532i	$0.433924\pi$
$684$	−1.92528	+	0.371067i	−0.0736149	+	0.0141881i
$685$	16.3822	−	25.4912i	0.625933	−	0.973970i
$686$	0.199648	+	18.5192i	0.00762258	+	0.707066i
$687$	−3.02899	−	10.3158i	−0.115563	−	0.393571i
$688$	0.436477	−	4.57100i	0.0166405	−	0.174268i
$689$	−4.05668	−	7.02638i	−0.154547	−	0.267684i
$690$	−17.5943	+	6.13563i	−0.669805	+	0.233579i
$691$	−17.7708	−	10.2600i	−0.676033	−	0.390308i	0.122326	−	0.992490i	$-0.460965\pi$
$691$	−17.7708	−	10.2600i	−0.676033	−	0.390308i	−0.798359	+	0.602182i	$0.794298\pi$
$692$	−21.5896	+	9.85965i	−0.820715	+	0.374808i
$693$	7.47457	−	6.31781i	0.283935	−	0.239994i
$694$	16.7506	−	19.3312i	0.635845	−	0.733804i
$695$	37.4421	+	72.6275i	1.42026	+	2.75492i
$696$	0.922092	+	0.319139i	0.0349518	+	0.0120969i
$697$	1.32124	+	1.68010i	0.0500457	+	0.0636383i
$698$	−3.80993	−	3.99574i	−0.144208	−	0.151241i
$699$	−13.3095	−	20.7100i	−0.503411	−	0.783323i
$700$	−6.61555	+	25.8792i	−0.250044	+	0.978141i
$701$	34.7610	+	15.8748i	1.31291	+	0.599584i	0.944019	−	0.329891i	$-0.107012\pi$
$701$	34.7610	+	15.8748i	1.31291	+	0.599584i	0.368886	+	0.929475i	$0.379739\pi$
$702$	0.961735	+	1.35057i	0.0362984	+	0.0509739i
$703$	3.44102	+	8.59525i	0.129780	+	0.324176i
$704$	1.69503	−	3.28790i	0.0638839	−	0.123917i
$705$	−16.3418	+	15.5819i	−0.615469	+	0.586849i
$706$	15.1931	−	2.18444i	0.571800	−	0.0822125i
$707$	−2.73973	−	32.9623i	−0.103038	−	1.23968i
$708$	3.19945	+	2.05616i	0.120243	+	0.0772753i
$709$	−6.95087	+	2.40572i	−0.261046	+	0.0903487i	−0.454456	−	0.890769i	$-0.650166\pi$
$709$	−6.95087	+	2.40572i	−0.261046	+	0.0903487i	0.193410	+	0.981118i	$0.438045\pi$
$710$	41.8518	+	39.9056i	1.57067	+	1.49763i
$711$	12.6190	+	8.98597i	0.473251	+	0.337000i
$712$	4.96158	−	8.59371i	0.185943	−	0.322063i
$713$	−4.45076	−	3.15369i	−0.166682	−	0.118107i
$714$	−1.87041	−	1.36682i	−0.0699983	−	0.0511518i
$715$	9.89907	+	21.6760i	0.370204	+	0.810635i
$716$	1.98732	−	8.19183i	0.0742695	−	0.306143i
$717$	3.72449	−	19.3245i	0.139094	−	0.721686i
$718$	6.11166	+	0.291134i	0.228085	+	0.0108650i
$719$	−0.382013	−	1.98207i	−0.0142467	−	0.0739188i	0.974110	−	0.226077i	$-0.0725899\pi$
$719$	−0.382013	−	1.98207i	−0.0142467	−	0.0739188i	−0.988356	+	0.152158i	$0.951378\pi$
$720$	0.552943	+	3.84580i	0.0206070	+	0.143325i
$721$	6.29365	+	2.60967i	0.234388	+	0.0971891i
$722$	12.7497	−	8.19374i	0.474495	−	0.304939i
$723$	0.518252	−	0.659011i	0.0192740	−	0.0245089i
$724$	7.44555	−	0.710963i	0.276712	−	0.0264227i
$725$	−9.80660	+	0.936416i	−0.364208	+	0.0347776i
$726$	1.65878	−	2.10931i	0.0615631	−	0.0782838i
$727$	33.0512	−	21.2407i	1.22580	−	0.787774i	0.242568	−	0.970134i	$-0.422010\pi$
$727$	33.0512	−	21.2407i	1.22580	−	0.787774i	0.983232	+	0.182360i	$0.0583738\pi$
$728$	−4.34934	+	0.570951i	−0.161197	+	0.0211608i
$729$	0.142315	+	0.989821i	0.00527092	+	0.0366601i
$730$	−0.648919	−	3.36691i	−0.0240176	−	0.124615i
$731$	−4.01597	−	0.191304i	−0.148536	−	0.00707565i
$732$	1.96998	−	10.2212i	0.0728127	−	0.377788i
$733$	−2.75392	+	11.3518i	−0.101718	+	0.419289i	−0.999789	−	0.0205632i	$-0.993454\pi$
$733$	−2.75392	+	11.3518i	−0.101718	+	0.419289i	0.898070	+	0.439852i	$0.144969\pi$
$734$	−8.83635	−	19.3489i	−0.326156	−	0.714181i
$735$	−20.1111	−	18.3097i	−0.741810	−	0.675362i
$736$	−1.14157	−	4.65798i	−0.0420788	−	0.171696i
$737$	28.1644	−	48.7821i	1.03745	−	1.79691i
$738$	1.98844	+	1.41597i	0.0731957	+	0.0521224i
$739$	−27.3556	−	26.0835i	−1.00629	−	0.959496i	−0.00711039	−	0.999975i	$-0.502263\pi$
$739$	−27.3556	−	26.0835i	−1.00629	−	0.959496i	−0.999180	+	0.0404784i	$0.987112\pi$
$740$	17.3375	−	6.00057i	0.637339	−	0.220585i
$741$	2.73480	+	1.75755i	0.100465	+	0.0645652i
$742$	11.7100	+	5.52246i	0.429888	+	0.202736i
$743$	3.71994	−	0.534847i	0.136472	−	0.0196216i	−0.0737405	−	0.997277i	$-0.523494\pi$
$743$	3.71994	−	0.534847i	0.136472	−	0.0196216i	0.210212	+	0.977656i	$0.432585\pi$
$744$	−0.823180	+	0.784901i	−0.0301793	+	0.0287759i
$745$	−9.13706	+	17.7234i	−0.334756	+	0.649336i
$746$	−5.93908	−	14.8351i	−0.217445	−	0.543152i
$747$	9.21206	+	12.9365i	0.337052	+	0.473323i
$748$	−2.94621	−	1.34549i	−0.107724	−	0.0491960i
$749$	2.18937	+	0.559673i	0.0799977	+	0.0204500i
$750$	−10.7044	−	16.6564i	−0.390871	−	0.608207i
$751$	−11.1139	−	11.6560i	−0.405554	−	0.425332i	0.489006	−	0.872280i	$-0.337359\pi$
$751$	−11.1139	−	11.6560i	−0.405554	−	0.425332i	−0.894560	+	0.446948i	$0.852511\pi$
$752$	−3.59246	−	4.56818i	−0.131004	−	0.166585i
$753$	13.4105	+	4.64141i	0.488705	+	0.169142i
$754$	−0.741323	−	1.43797i	−0.0269974	−	0.0523676i
$755$	−60.7181	+	70.0724i	−2.20976	+	2.55020i
$756$	−2.48943	−	0.895961i	−0.0905396	−	0.0325858i
$757$	42.4164	−	19.3709i	1.54165	−	0.704048i	0.550261	−	0.834993i	$-0.314528\pi$
$757$	42.4164	−	19.3709i	1.54165	−	0.704048i	0.991390	+	0.130945i	$0.0418010\pi$
$758$	−16.1183	−	9.30588i	−0.585441	−	0.338005i
$759$	−0.885604	−	17.7182i	−0.0321454	−	0.643130i
$760$	3.80903	+	6.59743i	0.138168	+	0.239314i
$761$	−3.48638	+	36.5111i	−0.126381	+	1.32353i	0.680472	+	0.732774i	$0.261775\pi$
$761$	−3.48638	+	36.5111i	−0.126381	+	1.32353i	−0.806854	+	0.590751i	$0.798831\pi$
$762$	−2.79343	−	9.51356i	−0.101195	−	0.344640i
$763$	22.9837	−	5.27798i	0.832067	−	0.191076i
$764$	13.0372	−	20.2863i	0.471670	−	0.733932i
$765$	3.34050	−	0.643828i	0.120776	−	0.0232777i
$766$	−28.6860	+	22.5589i	−1.03647	+	0.815087i
$767$	−1.48663	−	6.12795i	−0.0536789	−	0.221268i
$768$	−0.998867	+	0.0475819i	−0.0360435	+	0.00171696i
$769$	0.295427	−	2.05474i	0.0106534	−	0.0740959i	−0.983801	−	0.179263i	$-0.942629\pi$
$769$	0.295427	−	2.05474i	0.0106534	−	0.0740959i	0.994455	+	0.105167i	$0.0335378\pi$
$770$	−32.6953	−	19.4155i	−1.17826	−	0.699688i
$771$	−0.0613690	+	0.134379i	−0.00221015	+	0.00483955i
$772$	16.1096	+	12.6688i	0.579798	+	0.455958i
$773$	−3.40325	−	1.75450i	−0.122407	−	0.0631050i	0.395936	−	0.918278i	$-0.370420\pi$
$773$	−3.40325	−	1.75450i	−0.122407	−	0.0631050i	−0.518342	+	0.855173i	$0.673451\pi$
$774$	−4.46235	+	1.08256i	−0.160396	+	0.0389116i
$775$	4.26787	−	10.6606i	0.153307	−	0.382941i
$776$	0.483677	+	0.558193i	0.0173630	+	0.0200380i
$777$	−1.92960	+	12.3433i	−0.0692240	+	0.442812i
$778$	−12.4000	−	10.7447i	−0.444563	−	0.385216i
$779$	4.65134	+	1.12840i	0.166652	+	0.0404292i
$780$	3.73668	−	5.24743i	0.133795	−	0.187888i
$781$	−47.6796	+	27.5278i	−1.70611	+	0.985024i
$782$	−4.02631	+	1.19248i	−0.143980	+	0.0426429i
$783$		−	0.975758i		−	0.0348708i
$784$	5.18317	−	4.70475i	0.185113	−	0.168027i
$785$	34.4918	−	10.1277i	1.23106	−	0.361473i
$786$	1.09130	+	3.15309i	0.0389253	+	0.112467i
$787$	−1.73740	+	36.4726i	−0.0619318	+	1.30011i	0.727431	+	0.686181i	$0.240714\pi$
$787$	−1.73740	+	36.4726i	−0.0619318	+	1.30011i	−0.789363	+	0.613927i	$0.789589\pi$
$788$	0.135669	−	0.391989i	0.00483300	−	0.0139640i
$789$	−3.30341	−	1.32248i	−0.117604	−	0.0470817i
$790$	16.9575	−	57.7519i	0.603320	−	2.05472i
$791$	−1.91168	+	2.89587i	−0.0679716	+	0.102965i
$792$	−3.66146	−	0.526438i	−0.130104	−	0.0187062i
$793$	−14.0585	+	10.0110i	−0.499234	+	0.355503i
$794$	3.48852	+	36.5334i	0.123803	+	1.29652i
$795$	−17.6509	+	7.06635i	−0.626012	+	0.250618i
$796$	−0.697288	−	14.6379i	−0.0247147	−	0.518826i
$797$	31.9990	+	9.39574i	1.13346	+	0.332814i	0.794067	−	0.607830i	$-0.207960\pi$
$797$	31.9990	+	9.39574i	1.13346	+	0.332814i	0.339394	+	0.940644i	$0.389778\pi$
$798$	−5.18432	+	0.183221i	−0.183523	+	0.00648595i
$799$	−3.84566	+	3.33228i	−0.136050	+	0.117888i
$800$	8.97363	−	4.62623i	0.317266	−	0.163562i
$801$	−9.74384	−	1.87797i	−0.344282	−	0.0663548i
$802$	−5.50118	+	5.76947i	−0.194253	+	0.203727i
$803$	3.24974	+	0.310312i	0.114681	+	0.0109507i
$804$	−15.2277			−0.537038
$805$	−48.4989	+	8.84876i	−1.70936	+	0.311878i
$806$	1.88582			0.0664253
$807$	−12.2302	−	1.16784i	−0.430524	−	0.0411100i
$808$	−8.62705	+	9.04779i	−0.303499	+	0.318300i
$809$	−18.2235	−	3.51229i	−0.640704	−	0.123486i	−0.141456	−	0.989945i	$-0.545178\pi$
$809$	−18.2235	−	3.51229i	−0.640704	−	0.123486i	−0.499248	+	0.866459i	$0.666390\pi$
$810$	3.45344	−	1.78037i	0.121341	−	0.0625558i
$811$	31.2785	−	27.1029i	1.09834	−	0.951713i	0.0992753	−	0.995060i	$-0.468348\pi$
$811$	31.2785	−	27.1029i	1.09834	−	0.951713i	0.999060	+	0.0433470i	$0.0138021\pi$
$812$	2.27994	+	1.21104i	0.0800102	+	0.0424991i
$813$	16.8609	+	4.95082i	0.591339	+	0.173633i
$814$	0.831120	+	17.4473i	0.0291307	+	0.611529i
$815$	−10.6809	+	4.27601i	−0.374137	+	0.149782i
$816$	0.0832302	+	0.871626i	0.00291364	+	0.0305130i
$817$	−7.33377	+	5.22236i	−0.256576	+	0.182707i
$818$	−31.9384	−	4.59205i	−1.11670	−	0.160557i
$819$	1.96208	+	3.92339i	0.0685606	+	0.137095i
$820$	2.67208	−	9.10026i	0.0933130	−	0.317795i
$821$	16.9181	+	6.77297i	0.590444	+	0.236378i	0.647592	−	0.761988i	$-0.275776\pi$
$821$	16.9181	+	6.77297i	0.590444	+	0.236378i	−0.0571476	+	0.998366i	$0.518201\pi$
$822$	2.55077	−	7.36998i	0.0889684	−	0.257057i
$823$	0.822801	−	17.2727i	0.0286811	−	0.602089i	−0.938082	−	0.346414i	$-0.887399\pi$
$823$	0.822801	−	17.2727i	0.0286811	−	0.602089i	0.966763	−	0.255675i	$-0.0822978\pi$
$824$	−0.842254	−	2.43353i	−0.0293413	−	0.0847762i
$825$	35.8332	−	10.5216i	1.24755	−	0.366315i
$826$	7.52314	+	6.68224i	0.261763	+	0.232505i
$827$			46.5102i			1.61732i	0.588277	+	0.808659i	$0.299806\pi$
$827$			46.5102i			1.61732i	−0.588277	+	0.808659i	$0.700194\pi$
$828$	−4.02843	+	2.60226i	−0.139998	+	0.0904348i
$829$	−3.99809	+	2.30830i	−0.138860	+	0.0801706i	−0.567820	−	0.823153i	$-0.692213\pi$
$829$	−3.99809	+	2.30830i	−0.138860	+	0.0801706i	0.428961	+	0.903323i	$0.358880\pi$
$830$	35.7921	−	50.2629i	1.24236	−	1.74465i
$831$	−26.2158	−	6.35989i	−0.909417	−	0.220622i
$832$	1.25303	+	1.08576i	0.0434411	+	0.0376420i
$833$	−4.33072	−	4.33719i	−0.150050	−	0.150275i
$834$	13.7720	+	15.8938i	0.476887	+	0.550357i
$835$	−6.80676	+	17.0025i	−0.235558	+	0.588395i
$836$	−7.04845	+	1.70993i	−0.243776	+	0.0591393i
$837$	1.01097	+	0.521190i	0.0349442	+	0.0180150i
$838$	−25.0013	−	19.6612i	−0.863655	−	0.679186i
$839$	5.75579	−	12.6034i	0.198712	−	0.435119i	−0.783876	−	0.620918i	$-0.786760\pi$
$839$	5.75579	−	12.6034i	0.198712	−	0.435119i	0.982588	+	0.185799i	$0.0594874\pi$
$840$	−0.126162	+	10.2789i	−0.00435299	+	0.354656i
$841$	3.99163	−	27.7624i	0.137642	−	0.957324i
$842$	−1.41159	+	0.0672422i	−0.0486465	+	0.00231732i
$843$	−2.78085	−	11.4628i	−0.0957776	−	0.394800i
$844$	−20.7570	+	16.3235i	−0.714486	+	0.561878i
$845$	39.1091	−	7.53766i	1.34539	−	0.259303i
$846$	−3.14196	+	4.88898i	−0.108023	+	0.168087i
$847$	5.19801	−	4.83590i	0.178606	−	0.166163i
$848$	−1.37865	−	4.69524i	−0.0473430	−	0.161235i
$849$	−0.0374700	+	0.392404i	−0.00128597	+	0.0134673i
$850$	−4.41996	−	7.65559i	−0.151603	−	0.262585i
$851$	15.6657	+	16.3529i	0.537015	+	0.560571i
$852$	12.8895	+	7.44175i	0.441586	+	0.254950i
$853$	−17.8212	+	8.13868i	−0.610187	+	0.278663i	−0.696445	−	0.717610i	$-0.745236\pi$
$853$	−17.8212	+	8.13868i	−0.610187	+	0.278663i	0.0862586	+	0.996273i	$0.472509\pi$
$854$	9.32637	−	25.9133i	0.319142	−	0.886737i
$855$	4.98877	−	5.75734i	0.170612	−	0.196897i
$856$	−0.391377	−	0.759166i	−0.0133770	−	0.0259477i
$857$	−43.8996	−	15.1938i	−1.49958	−	0.519010i	−0.550717	−	0.834692i	$-0.685645\pi$
$857$	−43.8996	−	15.1938i	−1.49958	−	0.519010i	−0.948865	+	0.315682i	$0.897767\pi$
$858$	3.79125	+	4.82097i	0.129431	+	0.164585i
$859$	−4.72087	−	4.95110i	−0.161074	−	0.168930i	0.638251	−	0.769828i	$-0.279658\pi$
$859$	−4.72087	−	4.95110i	−0.161074	−	0.168930i	−0.799325	+	0.600899i	$0.794810\pi$
$860$	9.64541	+	15.0086i	0.328906	+	0.511788i
$861$	4.61918	+	4.51390i	0.157421	+	0.153833i
$862$	35.4103	+	16.1713i	1.20608	+	0.550797i
$863$	24.1773	+	33.9522i	0.823003	+	1.15575i	0.985607	+	0.169055i	$0.0540716\pi$
$863$	24.1773	+	33.9522i	0.823003	+	1.15575i	−0.162603	+	0.986692i	$0.551989\pi$
$864$	0.371662	+	0.928368i	0.0126442	+	0.0315837i
$865$	42.2561	−	81.9655i	1.43675	−	2.78691i
$866$	22.9524	−	21.8851i	0.779954	−	0.743685i
$867$	−16.0681	+	2.31025i	−0.545702	+	0.0784600i
$868$	−2.47254	+	1.71535i	−0.0839234	+	0.0582227i
$869$	48.2079	+	30.9814i	1.63534	+	1.05097i
$870$	−3.58265	+	1.23997i	−0.121463	+	0.0420388i
$871$	18.2725	+	17.4227i	0.619138	+	0.590347i
$872$	−7.26043	−	5.17013i	−0.245869	−	0.175083i
$873$	0.369298	−	0.639642i	0.0124988	−	0.0216486i
$874$	−5.43647	+	7.67241i	−0.183891	+	0.259523i
$875$	−21.1749	−	47.9142i	−0.715843	−	1.61980i
$876$	−0.366610	−	0.802763i	−0.0123866	−	0.0271229i
$877$	−4.37801	+	18.0464i	−0.147835	+	0.609384i	0.848894	+	0.528564i	$0.177269\pi$
$877$	−4.37801	+	18.0464i	−0.147835	+	0.609384i	−0.996729	+	0.0808206i	$0.974246\pi$
$878$	3.81292	−	19.7833i	0.128680	−	0.667654i
$879$	−8.90499	−	0.424197i	−0.300358	−	0.0143078i
$880$	2.71998	+	14.1126i	0.0916906	+	0.475736i
$881$	0.953679	+	6.63299i	0.0321303	+	0.223471i	0.999560	−	0.0296697i	$-0.00944554\pi$
$881$	0.953679	+	6.63299i	0.0321303	+	0.223471i	−0.967429	+	0.253141i	$0.918536\pi$
$882$	−6.14125	−	3.35933i	−0.206787	−	0.113114i
$883$	−15.7474	+	10.1202i	−0.529942	+	0.340573i	−0.778094	−	0.628148i	$-0.783813\pi$
$883$	−15.7474	+	10.1202i	−0.529942	+	0.340573i	0.248152	+	0.968721i	$0.420177\pi$
$884$	0.897400	−	1.14114i	0.0301828	−	0.0383806i
$885$	−14.7098	+	1.40462i	−0.494465	+	0.0472157i
$886$	20.8208	−	1.98814i	0.699487	−	0.0667929i
$887$	−20.1618	+	25.6378i	−0.676968	+	0.860834i	−0.996223	−	0.0868345i	$-0.972325\pi$
$887$	−20.1618	+	25.6378i	−0.676968	+	0.860834i	0.319255	+	0.947669i	$0.396567\pi$
$888$	3.97238	−	2.55290i	0.133304	−	0.0856696i
$889$	−3.41440	−	26.0100i	−0.114515	−	0.872347i
$890$	5.48694	+	38.1625i	0.183923	+	1.27921i
$891$	0.700061	+	3.63226i	0.0234529	+	0.121685i
$892$	13.0513	+	0.621711i	0.436991	+	0.0208164i
$893$	−2.15647	+	11.1889i	−0.0721637	+	0.374421i
$894$	−1.20994	+	4.98745i	−0.0404665	+	0.166805i
$895$	13.6054	+	29.7917i	0.454778	+	0.995826i
$896$	−2.63049	−	0.283800i	−0.0878784	−	0.00948109i
$897$	7.81130	+	1.48655i	0.260812	+	0.0496343i
$898$	3.26143	−	5.64897i	0.108835	−	0.188508i
$899$	−0.904044	−	0.643767i	−0.0301516	−	0.0214708i
$900$	−7.30678	−	6.96700i	−0.243559	−	0.232233i
$901$	−4.04902	+	1.40138i	−0.134892	+	0.0466867i
$902$	7.59637	+	4.88189i	0.252931	+	0.162549i
$903$	−12.1070	+	1.00630i	−0.402895	+	0.0334875i
$904$	1.29817	−	0.186649i	0.0431765	−	0.00620784i
$905$	−21.0318	+	20.0538i	−0.699121	+	0.666611i
$906$	−10.9350	+	21.2110i	−0.363291	+	0.704687i
$907$	15.2832	+	38.1756i	0.507471	+	1.26760i	0.932089	+	0.362229i	$0.117984\pi$
$907$	15.2832	+	38.1756i	0.507471	+	1.26760i	−0.424618	+	0.905372i	$0.639592\pi$
$908$	−3.51605	−	4.93760i	−0.116684	−	0.163860i
$909$	11.3718	+	5.19333i	0.377179	+	0.172252i
$910$	11.9120	−	12.1898i	0.394879	−	0.404089i
$911$	12.5061	+	19.4599i	0.414347	+	0.644736i	0.984210	−	0.177003i	$-0.0566403\pi$
$911$	12.5061	+	19.4599i	0.414347	+	0.644736i	−0.569864	+	0.821739i	$0.693004\pi$
$912$	1.35305	+	1.41903i	0.0448039	+	0.0469889i
$913$	36.3148	+	46.1780i	1.20184	+	1.52827i
$914$	−16.2183	−	5.61322i	−0.536454	−	0.185669i
$915$	18.5325	+	35.9481i	0.612666	+	1.18841i
$916$	−7.04059	+	8.12527i	−0.232628	+	0.268467i
$917$	1.56417	+	8.68815i	0.0516533	+	0.286908i
$918$	0.796465	−	0.363733i	0.0262873	−	0.0120050i
$919$	8.32933	+	4.80894i	0.274759	+	0.158632i	0.631049	−	0.775743i	$-0.282625\pi$
$919$	8.32933	+	4.80894i	0.274759	+	0.158632i	−0.356289	+	0.934376i	$0.615958\pi$
$920$	14.6738	+	11.4841i	0.483782	+	0.378621i
$921$	3.34061	+	5.78611i	0.110077	+	0.190659i
$922$	−3.52937	+	36.9612i	−0.116233	+	1.21725i
$923$	−6.95227	−	23.6773i	−0.228837	−	0.779347i
$924$	−9.35594	−	2.87234i	−0.307788	−	0.0944930i
$925$	−25.7739	+	40.1050i	−0.847441	+	1.31864i
$926$	21.3463	−	4.11416i	0.701483	−	0.135200i
$927$	−2.02422	+	1.59186i	−0.0664840	+	0.0522836i
$928$	−0.230044	−	0.948253i	−0.00755156	−	0.0311279i
$929$	−4.60535	+	0.219380i	−0.151097	+	0.00719762i	−0.122994	−	0.992407i	$-0.539250\pi$
$929$	−4.60535	+	0.219380i	−0.151097	+	0.00719762i	−0.0281027	+	0.999605i	$0.508947\pi$
$930$	0.628921	−	4.37424i	0.0206231	−	0.143437i
$931$	−13.6267	−	1.63959i	−0.446597	−	0.0537354i
$932$	−10.2267	+	22.3933i	−0.334986	+	0.733517i
$933$	19.8028	+	15.5731i	0.648313	+	0.509839i
$934$	38.3341	+	19.7626i	1.25433	+	0.646652i
$935$	12.2296	−	2.96686i	0.399949	−	0.0970266i
$936$	0.616217	−	1.53924i	0.0201417	−	0.0503115i
$937$	31.4302	+	36.2724i	1.02678	+	1.18497i	0.982560	+	0.185947i	$0.0595353\pi$
$937$	31.4302	+	36.2724i	1.02678	+	1.18497i	0.0442216	+	0.999022i	$0.485919\pi$
$938$	−39.8051	−	6.22266i	−1.29968	−	0.203177i
$939$	1.22362	+	1.06027i	0.0399312	+	0.0346006i
$940$	21.9434	+	5.32341i	0.715715	+	0.173631i
$941$	14.8455	−	20.8477i	0.483951	−	0.679614i	−0.498339	−	0.866982i	$-0.666056\pi$
$941$	14.8455	−	20.8477i	0.483951	−	0.679614i	0.982290	+	0.187368i	$0.0599958\pi$
$942$	8.01261	−	4.62608i	0.261065	−	0.150726i
$943$	11.5839	−	1.69321i	0.377224	−	0.0551384i
$944$		−	3.80319i		−	0.123783i
$945$	9.75483	−	3.24267i	0.317325	−	0.105484i
$946$	−16.2975	+	4.78538i	−0.529877	+	0.155586i
$947$	12.4979	+	36.1103i	0.406127	+	1.17343i	0.943870	+	0.330318i	$0.107156\pi$
$947$	12.4979	+	36.1103i	0.406127	+	1.17343i	−0.537742	+	0.843109i	$0.680723\pi$
$948$	0.737117	−	15.4740i	0.0239404	−	0.502572i
$949$	−0.478569	+	1.38274i	−0.0155350	+	0.0448855i
$950$	−18.3773	−	7.35715i	−0.596238	−	0.238698i
$951$	6.21118	−	21.1533i	0.201411	−	0.685944i
$952$	−0.138619	+	2.31244i	−0.00449267	+	0.0749467i
$953$	−17.4190	−	2.50448i	−0.564257	−	0.0811279i	−0.145717	−	0.989326i	$-0.546549\pi$
$953$	−17.4190	−	2.50448i	−0.564257	−	0.0811279i	−0.418540	+	0.908198i	$0.637458\pi$
$954$	−3.98610	+	2.83849i	−0.129055	+	0.0918994i
$955$	8.90606	+	93.2685i	0.288193	+	3.01810i
$956$	−18.2704	+	7.31436i	−0.590907	+	0.236563i
$957$	−0.171744	−	3.60535i	−0.00555169	−	0.116544i
$958$	−4.07467	−	1.19643i	−0.131647	−	0.0386550i
$959$	9.67941	−	18.2228i	0.312564	−	0.588444i
$960$	2.93635	−	2.54436i	0.0947703	−	0.0821190i
$961$	−26.4040	+	13.6122i	−0.851742	+	0.439104i
$962$	−7.68757	−	1.48166i	−0.247857	−	0.0477706i
$963$	−0.589405	+	0.618150i	−0.0189933	+	0.0199196i
$964$	−0.834584	−	0.0796931i	−0.0268801	−	0.00256674i
$965$	−79.6276			−2.56330
$966$	−11.5937	+	5.15613i	−0.373022	+	0.165896i
$967$	−24.9646			−0.802806			−0.401403	−	0.915901i	$-0.631477\pi$
$967$	−24.9646			−0.802806			−0.401403	+	0.915901i	$0.631477\pi$
$968$	−2.67127	−	0.255075i	−0.0858578	−	0.00819843i
$969$	1.18472	−	1.24249i	0.0380585	−	0.0399146i
$970$	−2.81784	−	0.543095i	−0.0904755	−	0.0174377i
$971$	−12.9150	+	6.65813i	−0.414461	+	0.213670i	−0.652829	−	0.757505i	$-0.726418\pi$
$971$	−12.9150	+	6.65813i	−0.414461	+	0.213670i	0.238368	+	0.971175i	$0.423388\pi$
$972$	0.755750	−	0.654861i	0.0242407	−	0.0210047i
$973$	29.5053	+	47.1742i	0.945896	+	1.51234i
$974$	−21.1387	−	6.20687i	−0.677327	−	0.198881i
$975$	0.796478	+	16.7201i	0.0255077	+	0.535473i
$976$	−9.66371	+	3.86877i	−0.309328	+	0.123836i
$977$	4.38411	+	45.9125i	0.140260	+	1.46887i	0.742119	+	0.670268i	$0.233821\pi$
$977$	4.38411	+	45.9125i	0.140260	+	1.46887i	−0.601859	+	0.798603i	$0.705573\pi$
$978$	−2.41208	+	1.71763i	−0.0771297	+	0.0549238i
$979$	−36.3332	−	5.22393i	−1.16122	−	0.166958i
$980$	−4.53018	+	26.8175i	−0.144711	+	0.856654i
$981$	−2.51112	+	8.55210i	−0.0801739	+	0.273047i
$982$	3.13696	+	1.25585i	0.100104	+	0.0400757i
$983$	−9.23335	+	26.6780i	−0.294498	+	0.850896i	0.696564	+	0.717495i	$0.254711\pi$
$983$	−9.23335	+	26.6780i	−0.294498	+	0.850896i	−0.991062	+	0.133402i	$0.957410\pi$
$984$	0.116151	−	2.43831i	0.00370277	−	0.0777306i
$985$	0.527121	+	1.52302i	0.0167955	+	0.0485273i
$986$	−0.819757	+	0.240702i	−0.0261064	+	0.00766553i
$987$	−10.2109	+	11.4959i	−0.325018	+	0.365918i
$988$		−	3.25087i		−	0.103424i
$989$	−11.8623	+	18.5534i	−0.377199	+	0.589965i
$990$	12.4468	−	7.18617i	0.395586	−	0.228391i
$991$	−24.6575	+	34.6267i	−0.783272	+	1.09995i	0.209247	+	0.977863i	$0.432899\pi$
$991$	−24.6575	+	34.6267i	−0.783272	+	1.09995i	−0.992519	+	0.122089i	$0.961041\pi$
$992$	1.10535	+	0.268154i	0.0350948	+	0.00851389i
$993$	−19.2378	−	16.6696i	−0.610492	−	0.528994i
$994$	30.6521	+	24.7199i	0.972227	+	0.784069i
$995$	37.2863	+	43.0307i	1.18206	+	1.36416i
$996$	5.90248	−	14.7437i	0.187027	−	0.467172i
$997$	25.2378	−	6.12263i	0.799289	−	0.193905i	0.184744	−	0.982787i	$-0.440855\pi$
$997$	25.2378	−	6.12263i	0.799289	−	0.193905i	0.614546	+	0.788881i	$0.289339\pi$
$998$	−24.0074	−	12.3767i	−0.759941	−	0.391777i
$999$	−3.71173	−	2.91894i	−0.117434	−	0.0923510i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.be.a.19.1	✓	320
7.3	odd	6	inner	966.2.be.a.157.1	yes	320
23.17	odd	22	inner	966.2.be.a.523.1	yes	320
161.17	even	66	inner	966.2.be.a.661.1	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.be.a.19.1	✓	320	1.1	even	1	trivial
966.2.be.a.157.1	yes	320	7.3	odd	6	inner
966.2.be.a.523.1	yes	320	23.17	odd	22	inner
966.2.be.a.661.1	yes	320	161.17	even	66	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.be (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.995472 + 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(-3.45344 + 1.78037i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(-2.24314 + 1.40298i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})\)	\(q+(0.995472 + 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(-3.45344 + 1.78037i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(-2.24314 + 1.40298i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(-3.60703 + 1.44404i) q^{10} +(-0.351623 - 3.68236i) q^{11} +(-0.814576 + 0.580057i) q^{12} +(1.64113 + 0.235958i) q^{13} +(-2.36634 + 1.18340i) q^{14} +(1.09463 - 3.72797i) q^{15} +(0.928368 + 0.371662i) q^{16} +(0.286378 - 0.827434i) q^{17} +(0.0475819 - 0.998867i) q^{18} +(-0.641286 - 1.85288i) q^{19} +(-3.72797 + 1.09463i) q^{20} +(0.532558 - 2.59160i) q^{21} -3.69911i q^{22} +(-3.14908 - 3.61708i) q^{23} +(-0.866025 + 0.500000i) q^{24} +(5.85622 - 8.22391i) q^{25} +(1.61127 + 0.390889i) q^{26} +(0.755750 + 0.654861i) q^{27} +(-2.46811 + 0.953107i) q^{28} +(-0.638986 - 0.737429i) q^{29} +(1.44404 - 3.60703i) q^{30} +(1.10535 - 0.268154i) q^{31} +(0.888835 + 0.458227i) q^{32} +(2.90770 + 2.28664i) q^{33} +(0.363733 - 0.796465i) q^{34} +(5.24871 - 8.83870i) q^{35} +(0.142315 - 0.989821i) q^{36} +(-4.71663 + 0.224681i) q^{37} +(-0.462256 - 1.90544i) q^{38} +(-1.30328 + 1.02491i) q^{39} +(-3.81514 + 0.735307i) q^{40} +(-1.31975 + 2.05357i) q^{41} +(0.776494 - 2.52924i) q^{42} +(-1.29366 - 4.40579i) q^{43} +(0.351623 - 3.68236i) q^{44} +(1.94268 + 3.36481i) q^{45} +(-2.79099 - 3.90005i) q^{46} +(-5.03295 - 2.90577i) q^{47} +(-0.909632 + 0.415415i) q^{48} +(3.06331 - 6.29413i) q^{49} +(6.61144 - 7.63001i) q^{50} +(0.401219 + 0.778256i) q^{51} +(1.56681 + 0.542279i) q^{52} +(-3.02494 - 3.84652i) q^{53} +(0.690079 + 0.723734i) q^{54} +(7.77027 + 12.0908i) q^{55} +(-2.54754 + 0.714182i) q^{56} +(1.78353 + 0.814510i) q^{57} +(-0.565995 - 0.794829i) q^{58} +(-1.41350 - 3.53076i) q^{59} +(1.78037 - 3.45344i) q^{60} +(-7.53361 + 7.18328i) q^{61} +(1.12583 - 0.161870i) q^{62} +(1.50812 + 2.17384i) q^{63} +(0.841254 + 0.540641i) q^{64} +(-6.08762 + 2.10694i) q^{65} +(2.67717 + 2.55268i) q^{66} +(12.4041 + 8.83290i) q^{67} +(0.437795 - 0.758284i) q^{68} +(4.79092 + 0.216979i) q^{69} +(6.06511 - 8.29976i) q^{70} +(-6.18283 - 13.5385i) q^{71} +(0.235759 - 0.971812i) q^{72} +(-0.167017 + 0.866566i) q^{73} +(-4.71663 - 0.224681i) q^{74} +(1.91067 + 9.91350i) q^{75} +(-0.279039 - 1.94076i) q^{76} +(5.95500 + 7.76671i) q^{77} +(-1.39480 + 0.896383i) q^{78} +(-9.57623 + 12.1772i) q^{79} +(-3.86776 + 0.369326i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(-1.50898 + 1.91882i) q^{82} +(-13.3602 + 8.58608i) q^{83} +(1.01340 - 2.44398i) q^{84} +(0.484152 + 3.36735i) q^{85} +(-0.869002 - 4.50881i) q^{86} +(0.974653 + 0.0464285i) q^{87} +(0.700061 - 3.63226i) q^{88} +(2.33947 - 9.64344i) q^{89} +(1.61403 + 3.53424i) q^{90} +(-4.01231 + 1.77318i) q^{91} +(-2.40763 - 4.14769i) q^{92} +(-0.568704 + 0.985023i) q^{93} +(-4.73395 - 3.37103i) q^{94} +(5.51345 + 5.25706i) q^{95} +(-0.945001 + 0.327068i) q^{96} +(0.621346 + 0.399315i) q^{97} +(3.64774 - 5.97445i) q^{98} +(-3.66146 + 0.526438i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9}+O(q^{10}) \) 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9	\( 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9} - 22 q^{14} + 16 q^{16} + 66 q^{17} + 16 q^{18} + 40 q^{23} - 48 q^{25} + 12 q^{26} + 44 q^{28} - 24 q^{29} + 24 q^{31} - 16 q^{32} + 98 q^{35} + 32 q^{36} - 22 q^{37} - 66 q^{38} - 8 q^{39} - 88 q^{43} + 4 q^{46} - 144 q^{47} - 24 q^{49} + 80 q^{50} - 22 q^{51} + 12 q^{52} + 44 q^{53} + 44 q^{57} + 10 q^{58} + 12 q^{59} - 32 q^{64} + 108 q^{70} - 16 q^{71} + 16 q^{72} - 180 q^{73} - 22 q^{74} - 12 q^{75} + 18 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 36 q^{82} + 22 q^{84} + 68 q^{85} - 22 q^{86} + 48 q^{87} + 22 q^{88} + 8 q^{92} + 8 q^{93} - 12 q^{94} + 66 q^{95} - 90 q^{98}+O(q^{100}) \) 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9 - 22 * q^14 + 16 * q^16 + 66 * q^17 + 16 * q^18 + 40 * q^23 - 48 * q^25 + 12 * q^26 + 44 * q^28 - 24 * q^29 + 24 * q^31 - 16 * q^32 + 98 * q^35 + 32 * q^36 - 22 * q^37 - 66 * q^38 - 8 * q^39 - 88 * q^43 + 4 * q^46 - 144 * q^47 - 24 * q^49 + 80 * q^50 - 22 * q^51 + 12 * q^52 + 44 * q^53 + 44 * q^57 + 10 * q^58 + 12 * q^59 - 32 * q^64 + 108 * q^70 - 16 * q^71 + 16 * q^72 - 180 * q^73 - 22 * q^74 - 12 * q^75 + 18 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 36 * q^82 + 22 * q^84 + 68 * q^85 - 22 * q^86 + 48 * q^87 + 22 * q^88 + 8 * q^92 + 8 * q^93 - 12 * q^94 + 66 * q^95 - 90 * q^98

Introduction

L-functions

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