LMFDB - Embedded newform 192.2.s.a.11.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(11,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 5, 8]))

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

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

chi := DirichletCharacter("192.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, degree $8$, 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:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			11.12
Character	$\chi$	$=$	192.11
Dual form			192.2.s.a.35.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.321350 - 1.37722i) q^{2} +(1.56005 + 0.752482i) q^{3} +(-1.79347 + 0.885139i) q^{4} +(1.30855 - 0.874343i) q^{5} +(0.535010 - 2.39035i) q^{6} +(0.168531 - 0.406870i) q^{7} +(1.79536 + 2.18556i) q^{8} +(1.86754 + 2.34783i) q^{9} +O(q^{10})$	\(q+(-0.321350 - 1.37722i) q^{2} +(1.56005 + 0.752482i) q^{3} +(-1.79347 + 0.885139i) q^{4} +(1.30855 - 0.874343i) q^{5} +(0.535010 - 2.39035i) q^{6} +(0.168531 - 0.406870i) q^{7} +(1.79536 + 2.18556i) q^{8} +(1.86754 + 2.34783i) q^{9} +(-1.62466 - 1.52119i) q^{10} +(0.752179 - 3.78146i) q^{11} +(-3.46396 + 0.0313123i) q^{12} +(0.0436304 - 0.0652976i) q^{13} +(-0.614507 - 0.101357i) q^{14} +(2.69933 - 0.379365i) q^{15} +(2.43306 - 3.17494i) q^{16} +(1.55016 + 1.55016i) q^{17} +(2.63334 - 3.32649i) q^{18} +(-2.79972 + 4.19007i) q^{19} +(-1.57292 + 2.72635i) q^{20} +(0.569080 - 0.507923i) q^{21} +(-5.44961 + 0.179256i) q^{22} +(-2.75223 - 6.64447i) q^{23} +(1.15627 + 4.76057i) q^{24} +(-0.965598 + 2.33116i) q^{25} +(-0.103950 - 0.0391053i) q^{26} +(1.14677 + 5.06803i) q^{27} +(0.0578812 + 0.878881i) q^{28} +(-3.71849 + 0.739653i) q^{29} +(-1.38990 - 3.59566i) q^{30} -5.92814 q^{31} +(-5.15445 - 2.33059i) q^{32} +(4.01892 - 5.33328i) q^{33} +(1.63677 - 2.63306i) q^{34} +(-0.135213 - 0.679762i) q^{35} +(-5.42753 - 2.55772i) q^{36} +(2.61217 - 1.74540i) q^{37} +(6.67034 + 2.50935i) q^{38} +(0.117201 - 0.0690367i) q^{39} +(4.26024 + 1.29015i) q^{40} +(-1.33020 + 0.550986i) q^{41} +(-0.882395 - 0.620527i) q^{42} +(-1.69766 + 8.53471i) q^{43} +(1.99811 + 7.44771i) q^{44} +(4.49657 + 1.43937i) q^{45} +(-8.26646 + 5.92562i) q^{46} +(-7.32240 + 7.32240i) q^{47} +(6.18479 - 3.12224i) q^{48} +(4.81261 + 4.81261i) q^{49} +(3.52081 + 0.580723i) q^{50} +(1.25187 + 3.58481i) q^{51} +(-0.0204524 + 0.155728i) q^{52} +(7.18480 + 1.42914i) q^{53} +(6.61128 - 3.20797i) q^{54} +(-2.32203 - 5.60588i) q^{55} +(1.19181 - 0.362144i) q^{56} +(-7.52067 + 4.43001i) q^{57} +(2.21360 + 4.88348i) q^{58} +(-2.48021 - 3.71190i) q^{59} +(-4.50538 + 3.06966i) q^{60} +(9.95511 - 1.98020i) q^{61} +(1.90501 + 8.16435i) q^{62} +(1.27000 - 0.364165i) q^{63} +(-1.55335 + 7.84774i) q^{64} -0.123593i q^{65} +(-8.63658 - 3.82109i) q^{66} +(-2.12490 - 10.6826i) q^{67} +(-4.15228 - 1.40806i) q^{68} +(0.706215 - 12.4367i) q^{69} +(-0.892731 + 0.404660i) q^{70} +(-9.65353 - 3.99862i) q^{71} +(-1.77840 + 8.29682i) q^{72} +(-10.8167 + 4.48041i) q^{73} +(-3.24322 - 3.03665i) q^{74} +(-3.26054 + 2.91014i) q^{75} +(1.31241 - 9.99290i) q^{76} +(-1.41180 - 0.943332i) q^{77} +(-0.132741 - 0.139227i) q^{78} +(9.60521 - 9.60521i) q^{79} +(0.407787 - 6.28188i) q^{80} +(-2.02458 + 8.76933i) q^{81} +(1.18629 + 1.65492i) q^{82} +(4.53596 + 3.03083i) q^{83} +(-0.571045 + 1.41466i) q^{84} +(3.38384 + 0.673087i) q^{85} +(12.2997 - 0.404578i) q^{86} +(-6.35762 - 1.64419i) q^{87} +(9.61504 - 5.14515i) q^{88} +(-3.67309 - 1.52144i) q^{89} +(0.537354 - 6.65531i) q^{90} +(-0.0192145 - 0.0287566i) q^{91} +(10.8173 + 9.48054i) q^{92} +(-9.24822 - 4.46082i) q^{93} +(12.4376 + 7.73150i) q^{94} +7.93082i q^{95} +(-6.28750 - 7.51448i) q^{96} -14.6774i q^{97} +(5.08149 - 8.17455i) q^{98} +(10.2829 - 5.29605i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{5}{16}\right)$

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 $

$2$	−0.321350	−	1.37722i	−0.227229	−	0.973841i
$2$	−0.321350	−	1.37722i	−0.227229	−	0.973841i
$3$	1.56005	+	0.752482i	0.900698	+	0.434446i
$3$	1.56005	+	0.752482i	0.900698	+	0.434446i
$4$	−1.79347	+	0.885139i	−0.896734	+	0.442569i
$5$	1.30855	−	0.874343i	0.585200	−	0.391018i	−0.227433	−	0.973794i	$-0.573033\pi$
$5$	1.30855	−	0.874343i	0.585200	−	0.391018i	0.812633	+	0.582776i	$0.198033\pi$
$6$	0.535010	−	2.39035i	0.218417	−	0.975856i
$7$	0.168531	−	0.406870i	0.0636987	−	0.153782i	−0.888825	−	0.458247i	$-0.848478\pi$
$7$	0.168531	−	0.406870i	0.0636987	−	0.153782i	0.952524	+	0.304465i	$0.0984775\pi$
$8$	1.79536	+	2.18556i	0.634756	+	0.772712i
$9$	1.86754	+	2.34783i	0.622514	+	0.782609i
$10$	−1.62466	−	1.52119i	−0.513764	−	0.481041i
$11$	0.752179	−	3.78146i	0.226791	−	1.14015i	−0.684698	−	0.728827i	$-0.740066\pi$
$11$	0.752179	−	3.78146i	0.226791	−	1.14015i	0.911488	−	0.411326i	$-0.134934\pi$
$12$	−3.46396	+	0.0313123i	−0.999959	+	0.00903907i
$13$	0.0436304	−	0.0652976i	0.0121009	−	0.0181103i	−0.825370	−	0.564592i	$-0.809033\pi$
$13$	0.0436304	−	0.0652976i	0.0121009	−	0.0181103i	0.837471	+	0.546482i	$0.184033\pi$
$14$	−0.614507	−	0.101357i	−0.164234	−	0.0270887i
$15$	2.69933	−	0.379365i	0.696965	−	0.0979516i
$16$	2.43306	−	3.17494i	0.608265	−	0.793734i
$17$	1.55016	+	1.55016i	0.375970	+	0.375970i	0.869646	−	0.493676i	$-0.164347\pi$
$17$	1.55016	+	1.55016i	0.375970	+	0.375970i	−0.493676	+	0.869646i	$0.664347\pi$
$18$	2.63334	−	3.32649i	0.620684	−	0.784061i
$19$	−2.79972	+	4.19007i	−0.642299	+	0.961268i	0.357329	+	0.933979i	$0.383688\pi$
$19$	−2.79972	+	4.19007i	−0.642299	+	0.961268i	−0.999628	+	0.0272897i	$0.991312\pi$
$20$	−1.57292	+	2.72635i	−0.351716	+	0.609631i
$21$	0.569080	−	0.507923i	0.124183	−	0.110838i
$22$	−5.44961	+	0.179256i	−1.16186	+	0.0382175i
$23$	−2.75223	−	6.64447i	−0.573879	−	1.38547i	−0.898228	−	0.439530i	$-0.855145\pi$
$23$	−2.75223	−	6.64447i	−0.573879	−	1.38547i	0.324349	−	0.945938i	$-0.394855\pi$
$24$	1.15627	+	4.76057i	0.236022	+	0.971748i
$25$	−0.965598	+	2.33116i	−0.193120	+	0.466232i
$26$	−0.103950	−	0.0391053i	−0.0203862	−	0.00766919i
$27$	1.14677	+	5.06803i	0.220696	+	0.975343i
$28$	0.0578812	+	0.878881i	0.0109385	+	0.166093i
$29$	−3.71849	+	0.739653i	−0.690505	+	0.137350i	−0.527856	−	0.849334i	$-0.677004\pi$
$29$	−3.71849	+	0.739653i	−0.690505	+	0.137350i	−0.162649	+	0.986684i	$0.552004\pi$
$30$	−1.38990	−	3.59566i	−0.253760	−	0.656476i
$31$	−5.92814			−1.06472			−0.532362	−	0.846517i	$-0.678696\pi$
$31$	−5.92814			−1.06472			−0.532362	+	0.846517i	$0.678696\pi$
$32$	−5.15445	−	2.33059i	−0.911187	−	0.411994i
$33$	4.01892	−	5.33328i	0.699604	−	0.928405i
$34$	1.63677	−	2.63306i	0.280704	−	0.451566i
$35$	−0.135213	−	0.679762i	−0.0228552	−	0.114901i
$36$	−5.42753	−	2.55772i	−0.904588	−	0.426286i
$37$	2.61217	−	1.74540i	0.429439	−	0.286942i	−0.322006	−	0.946738i	$-0.604357\pi$
$37$	2.61217	−	1.74540i	0.429439	−	0.286942i	0.751445	+	0.659796i	$0.229357\pi$
$38$	6.67034	+	2.50935i	1.08207	+	0.407070i
$39$	0.117201	−	0.0690367i	0.0187672	−	0.0110547i
$40$	4.26024	+	1.29015i	0.673604	+	0.203990i
$41$	−1.33020	+	0.550986i	−0.207742	+	0.0860496i	−0.484128	−	0.874997i	$-0.660863\pi$
$41$	−1.33020	+	0.550986i	−0.207742	+	0.0860496i	0.276386	+	0.961047i	$0.410863\pi$
$42$	−0.882395	−	0.620527i	−0.136156	−	0.0957494i
$43$	−1.69766	+	8.53471i	−0.258891	+	1.30153i	0.604342	+	0.796725i	$0.293436\pi$
$43$	−1.69766	+	8.53471i	−0.258891	+	1.30153i	−0.863233	+	0.504806i	$0.831564\pi$
$44$	1.99811	+	7.44771i	0.301226	+	1.12278i
$45$	4.49657	+	1.43937i	0.670309	+	0.214568i
$46$	−8.26646	+	5.92562i	−1.21882	+	0.873685i
$47$	−7.32240	+	7.32240i	−1.06808	+	1.06808i	−0.0705750	+	0.997506i	$0.522483\pi$
$47$	−7.32240	+	7.32240i	−1.06808	+	1.06808i	−0.997506	+	0.0705750i	$0.977517\pi$
$48$	6.18479	−	3.12224i	0.892697	−	0.450657i
$49$	4.81261	+	4.81261i	0.687515	+	0.687515i
$50$	3.52081	+	0.580723i	0.497918	+	0.0821266i
$51$	1.25187	+	3.58481i	0.175297	+	0.501974i
$52$	−0.0204524	+	0.155728i	−0.00283624	+	0.0215956i
$53$	7.18480	+	1.42914i	0.986908	+	0.196308i	0.662054	−	0.749456i	$-0.269685\pi$
$53$	7.18480	+	1.42914i	0.986908	+	0.196308i	0.324854	+	0.945764i	$0.394685\pi$
$54$	6.61128	−	3.20797i	0.899681	−	0.436549i
$55$	−2.32203	−	5.60588i	−0.313103	−	0.755897i
$56$	1.19181	−	0.362144i	0.159263	−	0.0483935i
$57$	−7.52067	+	4.43001i	−0.996136	+	0.586769i
$58$	2.21360	+	4.88348i	0.290660	+	0.641233i
$59$	−2.48021	−	3.71190i	−0.322896	−	0.483248i	0.634140	−	0.773218i	$-0.281354\pi$
$59$	−2.48021	−	3.71190i	−0.322896	−	0.483248i	−0.957035	+	0.289971i	$0.906354\pi$
$60$	−4.50538	+	3.06966i	−0.581642	+	0.396292i
$61$	9.95511	−	1.98020i	1.27462	−	0.253538i	0.489021	−	0.872272i	$-0.337354\pi$
$61$	9.95511	−	1.98020i	1.27462	−	0.253538i	0.785601	+	0.618734i	$0.212354\pi$
$62$	1.90501	+	8.16435i	0.241936	+	1.03687i
$63$	1.27000	−	0.364165i	0.160005	−	0.0458805i
$64$	−1.55335	+	7.84774i	−0.194169	+	0.980968i
$65$		−	0.123593i		−	0.0153298i
$66$	−8.63658	−	3.82109i	−1.06309	−	0.470343i
$67$	−2.12490	−	10.6826i	−0.259598	−	1.30508i	−0.862006	−	0.506897i	$-0.830792\pi$
$67$	−2.12490	−	10.6826i	−0.259598	−	1.30508i	0.602409	−	0.798188i	$-0.294208\pi$
$68$	−4.15228	−	1.40806i	−0.503538	−	0.170752i
$69$	0.706215	−	12.4367i	0.0850183	−	1.49721i
$70$	−0.892731	+	0.404660i	−0.106702	+	0.0483661i
$71$	−9.65353	−	3.99862i	−1.14566	−	0.474549i	−0.272586	−	0.962131i	$-0.587879\pi$
$71$	−9.65353	−	3.99862i	−1.14566	−	0.474549i	−0.873077	+	0.487582i	$0.837879\pi$
$72$	−1.77840	+	8.29682i	−0.209587	+	0.977790i
$73$	−10.8167	+	4.48041i	−1.26599	+	0.524392i	−0.911744	−	0.410758i	$-0.865264\pi$
$73$	−10.8167	+	4.48041i	−1.26599	+	0.524392i	−0.354250	+	0.935151i	$0.615264\pi$
$74$	−3.24322	−	3.03665i	−0.377016	−	0.353004i
$75$	−3.26054	+	2.91014i	−0.376495	+	0.336034i
$76$	1.31241	−	9.99290i	0.150544	−	1.14626i
$77$	−1.41180	−	0.943332i	−0.160889	−	0.107503i
$78$	−0.132741	−	0.139227i	−0.0150300	−	0.0157643i
$79$	9.60521	−	9.60521i	1.08067	−	1.08067i	0.0842241	−	0.996447i	$-0.473159\pi$
$79$	9.60521	−	9.60521i	1.08067	−	1.08067i	0.996447	−	0.0842241i	$-0.0268412\pi$
$80$	0.407787	−	6.28188i	0.0455919	−	0.702336i
$81$	−2.02458	+	8.76933i	−0.224953	+	0.974370i
$82$	1.18629	+	1.65492i	0.131004	+	0.182755i
$83$	4.53596	+	3.03083i	0.497886	+	0.332677i	0.779028	−	0.626989i	$-0.215713\pi$
$83$	4.53596	+	3.03083i	0.497886	+	0.332677i	−0.281142	+	0.959666i	$0.590713\pi$
$84$	−0.571045	+	1.41466i	−0.0623061	+	0.154352i
$85$	3.38384	+	0.673087i	0.367029	+	0.0730066i
$86$	12.2997	−	0.404578i	1.32631	−	0.0436268i
$87$	−6.35762	−	1.64419i	−0.681608	−	0.176276i
$88$	9.61504	−	5.14515i	1.02497	−	0.548475i
$89$	−3.67309	−	1.52144i	−0.389346	−	0.161273i	0.179418	−	0.983773i	$-0.442578\pi$
$89$	−3.67309	−	1.52144i	−0.389346	−	0.161273i	−0.568765	+	0.822500i	$0.692578\pi$
$90$	0.537354	−	6.65531i	0.0566421	−	0.701531i
$91$	−0.0192145	−	0.0287566i	−0.00201423	−	0.00301451i
$92$	10.8173	+	9.48054i	1.12778	+	0.988415i
$93$	−9.24822	−	4.46082i	−0.958995	−	0.462565i
$94$	12.4376	+	7.73150i	1.28284	+	0.797443i
$95$			7.93082i			0.813685i
$96$	−6.28750	−	7.51448i	−0.641715	−	0.766943i
$97$		−	14.6774i		−	1.49026i	−0.666918	−	0.745131i	$-0.732387\pi$
$97$		−	14.6774i		−	1.49026i	0.666918	−	0.745131i	$-0.267613\pi$
$98$	5.08149	−	8.17455i	0.513308	−	0.825754i
$99$	10.2829	−	5.29605i	1.03347	−	0.532273i
$100$	−0.331630	−	5.03555i	−0.0331630	−	0.503555i
$101$	−6.92470	−	10.3635i	−0.689034	−	1.03121i	−0.996815	−	0.0797544i	$-0.974586\pi$
$101$	−6.92470	−	10.3635i	−0.689034	−	1.03121i	0.307781	−	0.951457i	$-0.400414\pi$
$102$	4.53479	−	2.87608i	0.449011	−	0.284774i
$103$	−12.9668	−	5.37104i	−1.27766	−	0.529224i	−0.362376	−	0.932032i	$-0.618034\pi$
$103$	−12.9668	−	5.37104i	−1.27766	−	0.529224i	−0.915285	+	0.402808i	$0.868034\pi$
$104$	0.221044	−	0.0218758i	0.0216752	−	0.00214510i
$105$	0.300569	−	1.16221i	0.0293325	−	0.113420i
$106$	−0.340587	−	10.3543i	−0.0330807	−	1.00570i
$107$	11.2155	+	2.23090i	1.08424	+	0.215669i	0.704701	−	0.709505i	$-0.251081\pi$
$107$	11.2155	+	2.23090i	1.08424	+	0.215669i	0.379543	+	0.925174i	$0.376081\pi$
$108$	−6.54261	−	8.07430i	−0.629563	−	0.776950i
$109$	7.48505	+	5.00135i	0.716938	+	0.479043i	0.859755	−	0.510706i	$-0.170616\pi$
$109$	7.48505	+	5.00135i	0.716938	+	0.479043i	−0.142817	+	0.989749i	$0.545616\pi$
$110$	−6.97434	+	4.99940i	−0.664978	+	0.476674i
$111$	5.38851	−	0.757304i	0.511455	−	0.0718801i
$112$	−0.881740	−	1.52501i	−0.0833166	−	0.144100i
$113$	−0.888803	+	0.888803i	−0.0836116	+	0.0836116i	−0.747676	−	0.664064i	$-0.768830\pi$
$113$	−0.888803	+	0.888803i	−0.0836116	+	0.0836116i	0.664064	+	0.747676i	$0.268830\pi$
$114$	8.51786	+	8.93403i	0.797770	+	0.836748i
$115$	−9.41097	−	6.28821i	−0.877577	−	0.586378i
$116$	6.01429	−	4.61792i	0.558413	−	0.428763i
$117$	0.234789	−	0.0195092i	0.0217063	−	0.00180363i
$118$	−4.31508	+	4.60861i	−0.397235	+	0.424257i
$119$	0.891966	−	0.369464i	0.0817664	−	0.0338687i
$120$	5.67540	+	5.21846i	0.518091	+	0.476378i
$121$	−3.57099	−	1.47915i	−0.324635	−	0.134468i
$122$	−5.92624	−	13.0740i	−0.536536	−	1.18367i
$123$	−2.48979	−	0.141382i	−0.224497	−	0.0127480i
$124$	10.6319	−	5.24722i	0.954775	−	0.471215i
$125$	2.30985	+	11.6124i	0.206599	+	1.03864i
$126$	−0.909649	−	1.63204i	−0.0810380	−	0.145394i
$127$			11.2100i			0.994728i	0.867542	+	0.497364i	$0.165699\pi$
$127$			11.2100i			0.994728i	−0.867542	+	0.497364i	$0.834301\pi$
$128$	11.3072	−	0.382563i	0.999428	−	0.0338141i
$129$	−9.07066	+	12.0372i	−0.798627	+	1.05981i
$130$	−0.170215	+	0.0397166i	−0.0149288	+	0.00348337i
$131$	16.5250	−	3.28702i	1.44379	−	0.287188i	0.589833	−	0.807525i	$-0.299194\pi$
$131$	16.5250	−	3.28702i	1.44379	−	0.287188i	0.853961	+	0.520337i	$0.174194\pi$
$132$	−2.48711	+	13.1224i	−0.216475	+	1.14216i
$133$	1.23297	+	1.84528i	0.106912	+	0.160006i
$134$	−14.0294	+	6.35930i	−1.21196	+	0.549360i
$135$	5.93180	+	5.62908i	0.510528	+	0.484474i
$136$	−0.604873	+	6.17109i	−0.0518674	+	0.529166i
$137$	−8.86197	−	21.3947i	−0.757129	−	1.82787i	−0.513752	−	0.857939i	$-0.671745\pi$
$137$	−8.86197	−	21.3947i	−0.757129	−	1.82787i	−0.243377	−	0.969932i	$-0.578255\pi$
$138$	−17.3551	+	3.02393i	−1.47736	+	0.257414i
$139$	8.11720	+	1.61461i	0.688492	+	0.136949i	0.526924	−	0.849912i	$-0.323345\pi$
$139$	8.11720	+	1.61461i	0.688492	+	0.136949i	0.161567	+	0.986862i	$0.448345\pi$
$140$	0.844184	+	1.09945i	0.0713466	+	0.0929204i
$141$	−16.9333	+	5.91337i	−1.42604	+	0.497995i
$142$	−2.40482	+	14.5800i	−0.201808	+	1.22353i
$143$	−0.214102	−	0.214102i	−0.0179041	−	0.0179041i
$144$	11.9980	−	0.216929i	0.999837	−	0.0180774i
$145$	−4.21910	+	4.21910i	−0.350377	+	0.350377i
$146$	9.64644	+	13.4571i	0.798345	+	1.11372i
$147$	3.88653	+	11.1293i	0.320556	+	0.917932i
$148$	−3.13993	+	5.44245i	−0.258101	+	0.447367i
$149$	−0.258843	+	1.30129i	−0.0212053	+	0.106606i	−0.989938	−	0.141499i	$-0.954808\pi$
$149$	−0.258843	+	1.30129i	−0.0212053	+	0.106606i	0.968733	+	0.248105i	$0.0798078\pi$
$150$	5.05568	+	3.55531i	0.412794	+	0.290290i
$151$	10.2421	−	4.24242i	0.833490	−	0.345243i	0.0752067	−	0.997168i	$-0.476038\pi$
$151$	10.2421	−	4.24242i	0.833490	−	0.345243i	0.758283	+	0.651925i	$0.226038\pi$
$152$	−14.1842	+	1.40374i	−1.15049	+	0.113859i
$153$	−0.744520	+	6.53451i	−0.0601909	+	0.528284i
$154$	−0.845495	+	2.24749i	−0.0681319	+	0.181108i
$155$	−7.75724	+	5.18322i	−0.623077	+	0.416327i
$156$	−0.149090	+	0.227554i	−0.0119367	+	0.0182189i
$157$	−0.986119	−	4.95756i	−0.0787009	−	0.395656i	−0.999977	−	0.00674750i	$-0.997852\pi$
$157$	−0.986119	−	4.95756i	−0.0787009	−	0.395656i	0.921276	−	0.388909i	$-0.127148\pi$
$158$	−16.3151	−	10.1419i	−1.29796	−	0.806843i
$159$	10.1333	+	7.63597i	0.803620	+	0.605572i
$160$	−8.78257	+	1.45707i	−0.694323	+	0.115192i
$161$	−3.16727			−0.249616
$162$	12.7279	−	0.0297355i	0.999997	−	0.00233624i
$163$	8.71394	−	1.73331i	0.682529	−	0.135763i	0.158365	−	0.987381i	$-0.449378\pi$
$163$	8.71394	−	1.73331i	0.682529	−	0.135763i	0.524164	+	0.851617i	$0.324378\pi$
$164$	1.89797	−	2.16559i	0.148206	−	0.169104i
$165$	0.595828	−	10.4928i	0.0463851	−	0.816861i
$166$	2.71649	−	7.22097i	0.210841	−	0.560456i
$167$	−2.08059	+	5.02298i	−0.161001	+	0.388690i	−0.983708	−	0.179776i	$-0.942463\pi$
$167$	−2.08059	+	5.02298i	−0.161001	+	0.388690i	0.822707	+	0.568466i	$0.192463\pi$
$168$	2.13180	+	0.331854i	0.164472	+	0.0256031i
$169$	4.97252	+	12.0047i	0.382502	+	0.923441i
$170$	−0.160407	−	4.87659i	−0.0123027	−	0.374017i
$171$	−15.0661	+	1.25189i	−1.15214	+	0.0957341i
$172$	−4.50971	−	16.8094i	−0.343862	−	1.28170i
$173$	−3.92400	+	5.87268i	−0.298336	+	0.446492i	−0.950107	−	0.311924i	$-0.899026\pi$
$173$	−3.92400	+	5.87268i	−0.298336	+	0.446492i	0.651771	+	0.758416i	$0.274026\pi$
$174$	−0.221398	+	9.28420i	−0.0167841	+	0.703833i
$175$	0.785745	+	0.785745i	0.0593968	+	0.0593968i
$176$	−10.1758	−	11.5886i	−0.767030	−	0.873526i
$177$	−1.07613	−	7.65707i	−0.0808867	−	0.575541i
$178$	−0.915015	+	5.54756i	−0.0685832	+	0.415807i
$179$	7.16269	−	10.7197i	0.535365	−	0.801230i	−0.460912	−	0.887446i	$-0.652478\pi$
$179$	7.16269	−	10.7197i	0.535365	−	0.801230i	0.996276	+	0.0862160i	$0.0274775\pi$
$180$	−9.33850	+	1.39863i	−0.696051	+	0.104248i
$181$	−3.58706	+	18.0334i	−0.266624	+	1.34041i	0.582765	+	0.812641i	$0.301971\pi$
$181$	−3.58706	+	18.0334i	−0.266624	+	1.34041i	−0.849388	+	0.527768i	$0.823029\pi$
$182$	−0.0334295	+	0.0357036i	−0.00247796	+	0.00264652i
$183$	17.0206	+	4.40183i	1.25820	+	0.325393i
$184$	9.58064	−	17.9444i	0.706294	−	1.32288i
$185$	1.89207	−	4.56787i	0.139108	−	0.335837i
$186$	−3.17161	+	14.1703i	−0.232554	+	1.03902i
$187$	7.02789	−	4.69588i	0.513930	−	0.343397i
$188$	6.65115	−	19.6138i	0.485085	−	1.43049i
$189$	2.25529	+	0.387534i	0.164049	+	0.0281889i
$190$	10.9225	−	2.54857i	0.792400	−	0.184893i
$191$	6.46052			0.467467			0.233733	−	0.972301i	$-0.424906\pi$
$191$	6.46052			0.467467			0.233733	+	0.972301i	$0.424906\pi$
$192$	−8.32860	+	11.0740i	−0.601065	+	0.799200i
$193$	15.2396			1.09697			0.548484	−	0.836161i	$-0.315205\pi$
$193$	15.2396			1.09697			0.548484	+	0.836161i	$0.315205\pi$
$194$	−20.2140	+	4.71657i	−1.45128	+	0.338630i
$195$	0.0930015	−	0.192812i	0.00665997	−	0.0138075i
$196$	−12.8911	−	4.37143i	−0.920792	−	0.312245i
$197$	−0.162447	+	0.108544i	−0.0115739	+	0.00773342i	−0.561344	−	0.827583i	$-0.689715\pi$
$197$	−0.162447	+	0.108544i	−0.0115739	+	0.00773342i	0.549770	+	0.835316i	$0.314715\pi$
$198$	−10.5982	−	12.4600i	−0.753184	−	0.885492i
$199$	−0.885171	+	2.13699i	−0.0627481	+	0.151487i	−0.952143	−	0.305651i	$-0.901126\pi$
$199$	−0.885171	+	2.13699i	−0.0627481	+	0.151487i	0.889395	+	0.457139i	$0.151126\pi$
$200$	−6.82849	+	2.07490i	−0.482847	+	0.146718i
$201$	4.72349	−	18.2644i	0.333170	−	1.28827i
$202$	−12.0476	+	12.8672i	−0.847668	+	0.905330i
$203$	−0.325738	+	1.63759i	−0.0228623	+	0.114937i
$204$	−5.41825	−	5.32117i	−0.379353	−	0.372556i
$205$	−1.25888	+	1.88404i	−0.0879237	+	0.131587i
$206$	−3.23021	+	19.5842i	−0.225059	+	1.36449i
$207$	10.4602	−	18.8706i	0.727031	−	1.31160i
$208$	−0.101160	−	0.297397i	−0.00701420	−	0.0206208i
$209$	13.7387	+	13.7387i	0.950326	+	0.950326i
$210$	−1.69721	−	0.0404729i	−0.117119	−	0.00279290i
$211$	2.17877	−	3.26077i	0.149993	−	0.224480i	−0.748863	−	0.662725i	$-0.769400\pi$
$211$	2.17877	−	3.26077i	0.149993	−	0.224480i	0.898856	+	0.438245i	$0.144400\pi$
$212$	−14.1507	+	3.79642i	−0.971874	+	0.260739i
$213$	−12.0511	−	13.5022i	−0.825731	−	0.925154i
$214$	−0.531658	−	16.1631i	−0.0363434	−	1.10489i
$215$	5.24080	+	12.6524i	0.357420	+	0.862887i
$216$	−9.01762	+	11.6053i	−0.613571	+	0.789639i
$217$	−0.999075	+	2.41198i	−0.0678216	+	0.163736i
$218$	4.48264	−	11.9157i	0.303603	−	0.807036i
$219$	−20.2460	−	1.14966i	−1.36810	−	0.0776869i
$220$	9.12647	+	7.99865i	0.615307	+	0.539269i
$221$	0.168856	−	0.0335876i	0.0113585	−	0.00225935i
$222$	−2.77457	−	7.17781i	−0.186217	−	0.481743i
$223$	−8.64018			−0.578589			−0.289295	−	0.957240i	$-0.593421\pi$
$223$	−8.64018			−0.578589			−0.289295	+	0.957240i	$0.593421\pi$
$224$	−1.81693	+	1.70441i	−0.121399	+	0.113881i
$225$	−7.27645	+	2.08648i	−0.485097	+	0.139099i
$226$	1.50969	+	0.938460i	0.100423	+	0.0624255i
$227$	0.342277	+	1.72074i	0.0227177	+	0.114210i	0.990480	−	0.137654i	$-0.0439563\pi$
$227$	0.342277	+	1.72074i	0.0227177	+	0.114210i	−0.967763	+	0.251864i	$0.918956\pi$
$228$	9.56691	−	14.6019i	0.633584	−	0.967035i
$229$	5.08384	−	3.39691i	0.335950	−	0.224474i	−0.376140	−	0.926563i	$-0.622749\pi$
$229$	5.08384	−	3.39691i	0.335950	−	0.224474i	0.712090	+	0.702088i	$0.247749\pi$
$230$	−5.63603	+	14.9817i	−0.371629	+	0.987863i
$231$	−1.49264	−	2.53400i	−0.0982084	−	0.166725i
$232$	−8.29258	−	6.79903i	−0.544435	−	0.446378i
$233$	−2.16362	+	0.896200i	−0.141743	+	0.0587120i	−0.452427	−	0.891801i	$-0.649442\pi$
$233$	−2.16362	+	0.896200i	−0.141743	+	0.0587120i	0.310684	+	0.950513i	$0.399442\pi$
$234$	−0.102318	−	0.317087i	−0.00668873	−	0.0207286i
$235$	−3.17941	+	15.9840i	−0.207402	+	1.04268i
$236$	7.73372	+	4.46184i	0.503422	+	0.290441i
$237$	22.2124	−	7.75691i	1.44285	−	0.503865i
$238$	−0.795467	−	1.10971i	−0.0515625	−	0.0719315i
$239$	−5.35116	+	5.35116i	−0.346138	+	0.346138i	−0.858669	−	0.512531i	$-0.828708\pi$
$239$	−5.35116	+	5.35116i	−0.346138	+	0.346138i	0.512531	+	0.858669i	$0.328708\pi$
$240$	5.36317	−	9.49323i	0.346191	−	0.612785i
$241$	13.6134	+	13.6134i	0.876919	+	0.876919i	0.993215	−	0.116296i	$-0.0371021\pi$
$241$	13.6134	+	13.6134i	0.876919	+	0.876919i	−0.116296	+	0.993215i	$0.537102\pi$
$242$	−0.889580	+	5.39336i	−0.0571844	+	0.346698i
$243$	−9.75721	+	12.1572i	−0.625925	+	0.779883i
$244$	−16.1014	+	12.3631i	−1.03079	+	0.791465i
$245$	10.5054	+	2.08965i	0.671165	+	0.133503i
$246$	0.605380	+	3.47442i	0.0385976	+	0.221521i
$247$	0.151449	+	0.365629i	0.00963645	+	0.0232644i
$248$	−10.6431	−	12.9563i	−0.675841	−	0.822726i
$249$	4.79570	+	8.14149i	0.303915	+	0.515946i
$250$	15.2505	−	6.91280i	0.964528	−	0.437204i
$251$	2.26152	+	3.38461i	0.142746	+	0.213634i	0.895953	−	0.444149i	$-0.146494\pi$
$251$	2.26152	+	3.38461i	0.142746	+	0.213634i	−0.753207	+	0.657784i	$0.771494\pi$
$252$	−1.95537	+	1.77724i	−0.123176	+	0.111956i
$253$	−27.1960	+	5.40961i	−1.70980	+	0.340099i
$254$	15.4387	−	3.60234i	0.968707	−	0.226031i
$255$	4.77249	+	3.59633i	0.298865	+	0.225211i
$256$	−4.16045	−	15.4496i	−0.260028	−	0.965601i
$257$		−	13.9485i		−	0.870082i	−0.900411	−	0.435041i	$-0.856734\pi$
$257$		−	13.9485i		−	0.870082i	0.900411	−	0.435041i	$-0.143266\pi$
$258$	19.4927	+	8.62415i	1.21356	+	0.536916i
$259$	−0.269918	−	1.35697i	−0.0167719	−	0.0843179i
$260$	0.109397	+	0.221660i	0.00678451	+	0.0137468i
$261$	−8.68100	−	7.34903i	−0.537341	−	0.454893i
$262$	−9.83725	−	21.7022i	−0.607747	−	1.34077i
$263$	−7.07196	−	2.92930i	−0.436076	−	0.180629i	0.153836	−	0.988096i	$-0.450837\pi$
$263$	−7.07196	−	2.92930i	−0.436076	−	0.180629i	−0.589911	+	0.807468i	$0.700837\pi$
$264$	18.8716	−	0.791574i	1.16147	−	0.0487180i
$265$	10.6512	−	4.41187i	0.654298	−	0.271019i
$266$	2.14514	−	2.29106i	0.131527	−	0.140474i
$267$	−4.58536	−	5.13747i	−0.280619	−	0.314408i
$268$	13.2665	+	17.2780i	0.810381	+	1.05542i
$269$	26.4574	+	17.6782i	1.61313	+	1.07786i	0.941518	+	0.336963i	$0.109400\pi$
$269$	26.4574	+	17.6782i	1.61313	+	1.07786i	0.671616	+	0.740899i	$0.265600\pi$
$270$	5.84630	−	9.97830i	0.355795	−	0.607260i
$271$	−4.32656	+	4.32656i	−0.262820	+	0.262820i	−0.826199	−	0.563379i	$-0.809501\pi$
$271$	−4.32656	+	4.32656i	−0.262820	+	0.262820i	0.563379	+	0.826199i	$0.309501\pi$
$272$	8.69332	−	1.15003i	0.527110	−	0.0697311i
$273$	−0.00833691	−	0.0593204i	−0.000504573	−	0.00359024i
$274$	−26.6174	+	19.0801i	−1.60801	+	1.15267i
$275$	8.08888	+	5.40482i	0.487778	+	0.325923i
$276$	9.74166	+	22.9300i	0.586379	+	1.38022i
$277$	−28.0762	−	5.58470i	−1.68694	−	0.335552i	−0.743912	−	0.668278i	$-0.767032\pi$
$277$	−28.0762	−	5.58470i	−1.68694	−	0.335552i	−0.943024	+	0.332726i	$0.892032\pi$
$278$	−0.384786	−	11.6980i	−0.0230779	−	0.701600i
$279$	−11.0710	−	13.9182i	−0.662806	−	0.833263i
$280$	1.24291	−	1.51594i	0.0742778	−	0.0905945i
$281$	−2.71096	−	1.12292i	−0.161722	−	0.0669876i	0.300354	−	0.953828i	$-0.402895\pi$
$281$	−2.71096	−	1.12292i	−0.161722	−	0.0669876i	−0.462076	+	0.886840i	$0.652895\pi$
$282$	13.5855	+	21.4206i	0.809006	+	1.27558i
$283$	−3.29237	−	4.92739i	−0.195711	−	0.292903i	0.720615	−	0.693336i	$-0.243860\pi$
$283$	−3.29237	−	4.92739i	−0.195711	−	0.292903i	−0.916326	+	0.400433i	$0.868860\pi$
$284$	20.8526	−	1.37331i	1.23738	−	0.0814909i
$285$	−5.96780	+	12.3725i	−0.353502	+	0.732884i
$286$	−0.226064	+	0.363668i	−0.0133675	+	0.0215041i
$287$			0.634076i			0.0374283i
$288$	−4.15433	−	16.4542i	−0.244796	−	0.969575i
$289$		−	12.1940i		−	0.717293i
$290$	7.16644	+	4.45482i	0.420828	+	0.261596i
$291$	11.0445	−	22.8975i	0.647438	−	1.34228i
$292$	15.4336	−	17.6097i	0.903181	−	1.03053i
$293$	6.88222	+	10.3000i	0.402064	+	0.601731i	0.976159	−	0.217058i	$-0.0696460\pi$
$293$	6.88222	+	10.3000i	0.402064	+	0.601731i	−0.574095	+	0.818789i	$0.694646\pi$
$294$	14.0786	−	8.92902i	0.821081	−	0.520751i
$295$	−6.49094	−	2.68864i	−0.377917	−	0.156538i
$296$	8.50447	+	2.57544i	0.494312	+	0.149695i
$297$	20.0271	−	0.524400i	1.16209	−	0.0304287i
$298$	1.87535	−	0.0616864i	0.108636	−	0.00357339i
$299$	−0.553949	−	0.110187i	−0.0320357	−	0.00637229i
$300$	3.27180	−	8.10528i	0.188897	−	0.467959i
$301$	3.18641	+	2.12909i	0.183662	+	0.122719i
$302$	−9.13404	−	12.7423i	−0.525605	−	0.733238i
$303$	−3.00453	−	21.3784i	−0.172606	−	1.22816i
$304$	6.49134	+	19.0836i	0.372304	+	1.09452i
$305$	11.2954	−	11.2954i	0.646771	−	0.646771i
$306$	9.23871	−	1.07450i	0.528142	−	0.0614249i
$307$	−14.1915	−	9.48249i	−0.809954	−	0.541194i	0.0802397	−	0.996776i	$-0.474431\pi$
$307$	−14.1915	−	9.48249i	−0.809954	−	0.541194i	−0.890194	+	0.455581i	$0.849431\pi$
$308$	3.36699	+	0.442201i	0.191852	+	0.0251967i
$309$	−16.1874	−	18.1364i	−0.920867	−	1.03175i
$310$	9.63123	+	9.01780i	0.547017	+	0.512177i
$311$	25.2986	−	10.4790i	1.43455	−	0.594211i	0.476081	−	0.879402i	$-0.342057\pi$
$311$	25.2986	−	10.4790i	1.43455	−	0.594211i	0.958471	+	0.285191i	$0.0920571\pi$
$312$	0.361302	+	0.132204i	0.0204547	+	0.00748460i
$313$	−24.9147	−	10.3200i	−1.40826	−	0.583322i	−0.456382	−	0.889784i	$-0.650855\pi$
$313$	−24.9147	−	10.3200i	−1.40826	−	0.583322i	−0.951883	+	0.306462i	$0.900855\pi$
$314$	−6.51076	+	2.95121i	−0.367423	+	0.166547i
$315$	1.34345	−	1.58694i	0.0756947	−	0.0894140i
$316$	−8.72470	+	25.7286i	−0.490803	+	1.44735i
$317$	−1.65046	−	8.29744i	−0.0926992	−	0.466031i	−0.999053	−	0.0435108i	$-0.986146\pi$
$317$	−1.65046	−	8.29744i	−0.0926992	−	0.466031i	0.906354	−	0.422520i	$-0.138854\pi$
$318$	7.26009	−	16.4096i	0.407126	−	0.920202i
$319$			14.6177i			0.818432i
$320$	4.82899	+	11.6273i	0.269948	+	0.649986i
$321$	15.8181	+	11.9198i	0.882879	+	0.665298i
$322$	1.01780	+	4.36203i	0.0567199	+	0.243086i
$323$	−10.8353	+	2.15528i	−0.602893	+	0.119923i
$324$	−4.13106	−	17.5195i	−0.229503	−	0.973308i
$325$	0.110090	+	0.164761i	0.00610667	+	0.00913928i
$326$	−5.18737	−	11.4440i	−0.287302	−	0.633825i
$327$	7.91367	+	13.4348i	0.437627	+	0.742944i
$328$	−3.59240	−	1.91801i	−0.198357	−	0.105904i
$329$	1.74521	+	4.21331i	0.0962166	+	0.232287i
$330$	−14.6423	+	2.55126i	−0.806033	+	0.140442i
$331$	7.40747	+	1.47344i	0.407152	+	0.0809875i	0.394417	−	0.918931i	$-0.370946\pi$
$331$	7.40747	+	1.47344i	0.407152	+	0.0809875i	0.0127343	+	0.999919i	$0.495946\pi$
$332$	−10.8178	−	1.42075i	−0.593704	−	0.0779736i
$333$	8.97623	+	2.87332i	0.491895	+	0.157457i
$334$	7.58635	+	1.25129i	0.415107	+	0.0684676i
$335$	−12.1208	−	12.1208i	−0.662228	−	0.662228i
$336$	−0.228018	−	3.04260i	−0.0124394	−	0.165987i
$337$	19.2755	−	19.2755i	1.05000	−	1.05000i	0.0513215	−	0.998682i	$-0.483657\pi$
$337$	19.2755	−	19.2755i	1.05000	−	1.05000i	0.998682	−	0.0513215i	$-0.0163433\pi$
$338$	14.9352	−	10.7060i	0.812370	−	0.582329i
$339$	−2.05539	+	0.717773i	−0.111633	+	0.0389841i
$340$	−6.66458	+	1.78801i	−0.361438	+	0.0969682i
$341$	−4.45902	+	22.4170i	−0.241469	+	1.21395i
$342$	6.56563	+	20.3471i	0.355028	+	1.10025i
$343$	5.61727	−	2.32675i	0.303304	−	0.125633i
$344$	−21.7010	+	11.6126i	−1.17004	+	0.626107i
$345$	−9.94986	−	16.8915i	−0.535682	−	0.909409i
$346$	9.34895	+	3.51703i	0.502603	+	0.189076i
$347$	−25.1014	+	16.7722i	−1.34751	+	0.900379i	−0.999314	−	0.0370425i	$-0.988206\pi$
$347$	−25.1014	+	16.7722i	−1.34751	+	0.900379i	−0.348198	+	0.937421i	$0.613206\pi$
$348$	12.8575	−	2.67856i	0.689236	−	0.143586i
$349$	−4.99404	−	25.1067i	−0.267325	−	1.34393i	−0.848086	−	0.529858i	$-0.822245\pi$
$349$	−4.99404	−	25.1067i	−0.267325	−	1.34393i	0.580761	−	0.814074i	$-0.302755\pi$
$350$	0.829645	−	1.33464i	0.0443464	−	0.0713397i
$351$	0.380964	+	0.146239i	0.0203344	+	0.00780566i
$352$	−12.6901	+	17.7383i	−0.676385	+	0.945456i
$353$	−31.7867			−1.69184			−0.845918	−	0.533313i	$-0.820947\pi$
$353$	−31.7867			−1.69184			−0.845918	+	0.533313i	$0.820947\pi$
$354$	−10.1997	+	3.94266i	−0.542106	+	0.209550i
$355$	−16.1283	+	3.20811i	−0.855999	+	0.170269i
$356$	7.93425	−	0.522533i	0.420515	−	0.0276942i
$357$	1.66953	+	0.0948036i	0.0883609	+	0.00501754i
$358$	−17.0652	−	6.41982i	−0.901921	−	0.339298i
$359$	−4.61584	+	11.1436i	−0.243615	+	0.588138i	−0.997637	−	0.0687112i	$-0.978111\pi$
$359$	−4.61584	+	11.1436i	−0.243615	+	0.588138i	0.754022	+	0.656849i	$0.228111\pi$
$360$	4.92714	+	12.4117i	0.259683	+	0.654155i
$361$	−2.44731	−	5.90832i	−0.128806	−	0.310964i
$362$	25.9886	−	0.854851i	1.36593	−	0.0449300i
$363$	−4.45790	−	4.99466i	−0.233979	−	0.262152i
$364$	0.0599142	+	0.0345665i	0.00314036	+	0.00181178i
$365$	−10.2367	+	15.3203i	−0.535813	+	0.801901i
$366$	0.592726	−	24.8556i	0.0309823	−	1.29922i
$367$	9.05716	+	9.05716i	0.472780	+	0.472780i	0.902813	−	0.430033i	$-0.141498\pi$
$367$	9.05716	+	9.05716i	0.472780	+	0.472780i	−0.430033	+	0.902813i	$0.641498\pi$
$368$	−27.7921	−	7.42823i	−1.44876	−	0.387223i
$369$	−3.77782	−	2.09408i	−0.196665	−	0.109014i
$370$	−6.89898	−	1.13792i	−0.358661	−	0.0591575i
$371$	1.79234	−	2.68242i	0.0930535	−	0.139264i
$372$	20.5348	−	0.185623i	1.06468	−	0.00962412i
$373$	−2.61302	+	13.1366i	−0.135297	+	0.680185i	0.852284	+	0.523079i	$0.175217\pi$
$373$	−2.61302	+	13.1366i	−0.135297	+	0.680185i	−0.987582	+	0.157107i	$0.949783\pi$
$374$	−8.72567	−	8.16992i	−0.451194	−	0.422457i
$375$	−5.13462	+	19.8541i	−0.265151	+	1.02526i
$376$	−29.1499	−	2.85719i	−1.50329	−	0.147349i
$377$	−0.113942	+	0.275080i	−0.00586829	+	0.0141673i
$378$	−0.191019	−	3.23057i	−0.00982498	−	0.166163i
$379$	4.65431	−	3.10991i	0.239076	−	0.159745i	−0.430261	−	0.902705i	$-0.641578\pi$
$379$	4.65431	−	3.10991i	0.239076	−	0.159745i	0.669337	+	0.742959i	$0.266578\pi$
$380$	−7.01988	−	14.2237i	−0.360112	−	0.729659i
$381$	−8.43533	+	17.4882i	−0.432155	+	0.895949i
$382$	−2.07609	−	8.89755i	−0.106222	−	0.455238i
$383$	11.9755			0.611921			0.305960	−	0.952044i	$-0.401023\pi$
$383$	11.9755			0.611921			0.305960	+	0.952044i	$0.401023\pi$
$384$	17.9278	+	7.91167i	0.914873	+	0.403741i
$385$	−2.67220			−0.136188
$386$	−4.89723	−	20.9882i	−0.249263	−	1.06827i
$387$	−23.2085	+	11.9531i	−1.17975	+	0.607611i
$388$	12.9915	+	26.3234i	0.659544	+	1.33637i
$389$	−15.2422	+	10.1845i	−0.772812	+	0.516377i	−0.878338	−	0.478040i	$-0.841347\pi$
$389$	−15.2422	+	10.1845i	−0.772812	+	0.516377i	0.105526	+	0.994417i	$0.466347\pi$
$390$	−0.295430	−	0.0661234i	−0.0149597	−	0.00334829i
$391$	6.03361	−	14.5664i	0.305133	−	0.736656i
$392$	−1.87788	+	19.1586i	−0.0948471	+	0.967656i
$393$	28.2533	+	7.30681i	1.42519	+	0.368580i
$394$	0.201691	+	0.188845i	0.0101610	+	0.00951387i
$395$	4.17062	−	20.9671i	0.209847	−	1.05497i
$396$	−13.7544	+	18.6001i	−0.691184	+	0.934691i
$397$	6.69382	−	10.0180i	0.335953	−	0.502790i	−0.624578	−	0.780963i	$-0.714729\pi$
$397$	6.69382	−	10.0180i	0.335953	−	0.502790i	0.960531	+	0.278173i	$0.0897288\pi$
$398$	3.22756	+	0.532353i	0.161783	+	0.0266844i
$399$	0.534970	+	3.80652i	0.0267820	+	0.190565i
$400$	5.05193	+	8.73756i	0.252596	+	0.436878i
$401$	0.241562	+	0.241562i	0.0120631	+	0.0120631i	0.713113	−	0.701050i	$-0.247285\pi$
$401$	0.241562	+	0.241562i	0.0120631	+	0.0120631i	−0.701050	+	0.713113i	$0.747285\pi$
$402$	−26.6719	−	0.636039i	−1.33027	−	0.0317227i
$403$	−0.258647	+	0.387093i	−0.0128841	+	0.0192825i
$404$	21.5924	+	12.4574i	1.07426	+	0.619778i
$405$	5.01815	+	13.2452i	0.249354	+	0.658162i
$406$	2.36000	−	0.0776283i	0.117125	−	0.00385263i
$407$	−4.63533	−	11.1907i	−0.229765	−	0.554701i
$408$	−5.58727	+	9.17207i	−0.276611	+	0.454085i
$409$	−7.02485	+	16.9595i	−0.347356	+	0.838593i	0.649574	+	0.760299i	$0.274947\pi$
$409$	−7.02485	+	16.9595i	−0.347356	+	0.838593i	−0.996930	+	0.0782942i	$0.975053\pi$
$410$	2.99928	+	1.12831i	0.148124	+	0.0557234i
$411$	2.27396	−	40.0453i	0.112166	−	1.97529i
$412$	28.0097	−	1.84466i	1.37994	−	0.0908799i
$413$	−1.92825	+	0.383553i	−0.0948830	+	0.0188734i
$414$	−29.3503	−	8.34187i	−1.44249	−	0.409981i
$415$	8.58550			0.421446
$416$	−0.377073	+	0.234888i	−0.0184875	+	0.0115163i
$417$	11.4483	+	8.62692i	0.560626	+	0.422462i
$418$	14.5063	−	23.3361i	0.709525	−	1.14141i
$419$	−0.327580	−	1.64686i	−0.0160034	−	0.0804543i	0.971958	−	0.235153i	$-0.0755592\pi$
$419$	−0.327580	−	1.64686i	−0.0160034	−	0.0804543i	−0.987962	+	0.154699i	$0.950559\pi$
$420$	0.489658	+	2.35044i	0.0238928	+	0.114689i
$421$	18.0505	−	12.0610i	0.879728	−	0.587816i	−0.0315978	−	0.999501i	$-0.510060\pi$
$421$	18.0505	−	12.0610i	0.879728	−	0.587816i	0.911326	+	0.411685i	$0.135060\pi$
$422$	−5.19094	−	1.95280i	−0.252691	−	0.0950610i
$423$	−30.8666	−	3.51684i	−1.50079	−	0.170994i
$424$	9.77582	+	18.2686i	0.474756	+	0.887204i
$425$	−5.11052	+	2.11685i	−0.247896	+	0.102682i
$426$	−14.7228	+	20.9360i	−0.713323	+	1.01435i
$427$	0.872064	−	4.38416i	0.0422021	−	0.212164i
$428$	−22.0893	+	5.92622i	−1.06773	+	0.286455i
$429$	−0.172903	−	0.495119i	−0.00834784	−	0.0239046i
$430$	15.7410	−	11.2836i	0.759099	−	0.544143i
$431$	−10.1219	+	10.1219i	−0.487556	+	0.487556i	−0.907534	−	0.419978i	$-0.862038\pi$
$431$	−10.1219	+	10.1219i	−0.487556	+	0.487556i	0.419978	+	0.907534i	$0.362038\pi$
$432$	18.8808	+	8.68989i	0.908404	+	0.418092i
$433$	−7.10195	−	7.10195i	−0.341298	−	0.341298i	0.515557	−	0.856855i	$-0.327585\pi$
$433$	−7.10195	−	7.10195i	−0.341298	−	0.341298i	−0.856855	+	0.515557i	$0.827585\pi$
$434$	3.64288	+	0.600856i	0.174864	+	0.0288420i
$435$	−9.75683	+	3.40723i	−0.467804	+	0.163364i
$436$	−17.8511	−	2.34446i	−0.854913	−	0.112279i
$437$	35.5463	+	7.07059i	1.70041	+	0.338232i
$438$	4.92272	+	28.2527i	0.235217	+	1.34996i
$439$	15.2511	+	36.8194i	0.727896	+	1.75730i	0.649484	+	0.760375i	$0.274985\pi$
$439$	15.2511	+	36.8194i	0.727896	+	1.75730i	0.0784120	+	0.996921i	$0.475015\pi$
$440$	8.08311	−	15.1395i	0.385347	−	0.721748i
$441$	−2.31142	+	20.2869i	−0.110068	+	0.966043i
$442$	−0.100520	−	0.221759i	−0.00478123	−	0.0105480i
$443$	−17.6077	−	26.3518i	−0.836567	−	1.25201i	−0.965512	−	0.260360i	$-0.916159\pi$
$443$	−17.6077	−	26.3518i	−0.836567	−	1.25201i	0.128944	−	0.991652i	$-0.458841\pi$
$444$	−8.99381	+	6.12778i	−0.426827	+	0.290812i
$445$	−6.13667	+	1.22066i	−0.290906	+	0.0578648i
$446$	2.77652	+	11.8994i	0.131472	+	0.563454i
$447$	−1.38301	+	1.83532i	−0.0654141	+	0.0868074i
$448$	2.93122	+	1.95460i	0.138487	+	0.0923462i
$449$		−	23.1726i		−	1.09358i	−0.837269	−	0.546792i	$-0.815849\pi$
$449$		−	23.1726i		−	1.09358i	0.837269	−	0.546792i	$-0.184151\pi$
$450$	5.21183	+	9.35078i	0.245688	+	0.440800i
$451$	1.08298	+	5.44453i	0.0509957	+	0.256373i
$452$	0.807326	−	2.38075i	0.0379734	−	0.111981i
$453$	19.1706	+	1.08859i	0.900712	+	0.0511466i
$454$	2.25985	−	1.02435i	0.106060	−	0.0480752i
$455$	−0.0502862	−	0.0208292i	−0.00235745	−	0.000976490i
$456$	−23.1844	−	8.48341i	−1.08571	−	0.397272i
$457$	20.2886	−	8.40381i	0.949061	−	0.393114i	0.146183	−	0.989258i	$-0.453301\pi$
$457$	20.2886	−	8.40381i	0.949061	−	0.393114i	0.802878	+	0.596144i	$0.203301\pi$
$458$	−6.31199	−	5.90997i	−0.294940	−	0.276155i
$459$	−6.07860	+	9.63396i	−0.283725	+	0.449675i
$460$	22.4442	+	2.94769i	1.04647	+	0.137437i
$461$	−16.9045	−	11.2952i	−0.787319	−	0.526070i	0.0956980	−	0.995410i	$-0.469492\pi$
$461$	−16.9045	−	11.2952i	−0.787319	−	0.526070i	−0.883017	+	0.469340i	$0.844492\pi$
$462$	−3.01022	+	2.86999i	−0.140048	+	0.133524i
$463$	−28.2602	+	28.2602i	−1.31336	+	1.31336i	−0.394440	+	0.918922i	$0.629061\pi$
$463$	−28.2602	+	28.2602i	−1.31336	+	1.31336i	−0.918922	+	0.394440i	$0.870939\pi$
$464$	−6.69894	+	13.6056i	−0.310991	+	0.631623i
$465$	−16.0020	+	2.24893i	−0.742075	+	0.104292i
$466$	1.92954	+	2.69178i	0.0893844	+	0.124695i
$467$	−4.44598	−	2.97071i	−0.205735	−	0.137468i	0.448434	−	0.893816i	$-0.351982\pi$
$467$	−4.44598	−	2.97071i	−0.205735	−	0.137468i	−0.654170	+	0.756348i	$0.726982\pi$
$468$	−0.403818	+	0.242810i	−0.0186665	+	0.0112239i
$469$	−4.70453	−	0.935789i	−0.217235	−	0.0432107i
$470$	23.0352	−	0.757703i	1.06253	−	0.0349502i
$471$	2.19207	−	8.47610i	0.101005	−	0.390558i
$472$	3.65970	−	12.0848i	0.168451	−	0.556250i
$473$	30.9967	+	12.8393i	1.42523	+	0.590350i
$474$	−17.8209	−	28.0987i	−0.818542	−	1.29062i
$475$	−7.06433	−	10.5725i	−0.324134	−	0.485100i
$476$	−1.27269	+	1.45214i	−0.0583334	+	0.0665586i
$477$	10.0625	+	19.5376i	0.460731	+	0.894567i
$478$	9.08932	+	5.65013i	0.415736	+	0.258431i
$479$		−	15.9720i		−	0.729781i	−0.931051	−	0.364890i	$-0.881106\pi$
$479$		−	15.9720i		−	0.729781i	0.931051	−	0.364890i	$-0.118894\pi$
$480$	−14.7977	−	4.33562i	−0.675420	−	0.197893i
$481$		−	0.246721i		−	0.0112495i
$482$	14.3740	−	23.1234i	0.654719	−	1.05324i
$483$	−4.94111	−	2.38331i	−0.224828	−	0.108445i
$484$	7.71371	−	0.508008i	0.350623	−	0.0230913i
$485$	−12.8331	−	19.2060i	−0.582719	−	0.872101i
$486$	19.8786	+	9.53112i	0.901711	+	0.432340i
$487$	19.5448	+	8.09572i	0.885659	+	0.366852i	0.778689	−	0.627410i	$-0.215885\pi$
$487$	19.5448	+	8.09572i	0.885659	+	0.366852i	0.106970	+	0.994262i	$0.465885\pi$
$488$	22.2009	+	18.2023i	1.00499	+	0.823981i
$489$	14.8985	+	3.85302i	0.673734	+	0.174240i
$490$	−0.497996	−	15.1397i	−0.0224972	−	0.683944i
$491$	35.9516	+	7.15122i	1.62247	+	0.322730i	0.920880	−	0.389846i	$-0.127472\pi$
$491$	35.9516	+	7.15122i	1.62247	+	0.322730i	0.701594	+	0.712576i	$0.252472\pi$
$492$	4.59050	−	1.95025i	0.206956	−	0.0879238i
$493$	−6.91085	−	4.61768i	−0.311249	−	0.207970i
$494$	0.454884	−	0.326073i	0.0204662	−	0.0146707i
$495$	8.82514	−	15.9209i	0.396661	−	0.715593i
$496$	−14.4235	+	18.8215i	−0.647634	+	0.845108i
$497$	−3.25384	+	3.25384i	−0.145955	+	0.145955i
$498$	9.67152	−	9.22100i	0.433391	−	0.413203i
$499$	−10.9370	−	7.30787i	−0.489607	−	0.327145i	0.286141	−	0.958187i	$-0.407627\pi$
$499$	−10.9370	−	7.30787i	−0.489607	−	0.327145i	−0.775748	+	0.631042i	$0.782627\pi$
$500$	−14.4212	−	18.7819i	−0.644936	−	0.839952i
$501$	−7.02554	+	6.27052i	−0.313878	+	0.280146i
$502$	3.93461	−	4.20226i	0.175610	−	0.187556i
$503$	−28.2014	+	11.6814i	−1.25744	+	0.520849i	−0.909123	−	0.416528i	$-0.863247\pi$
$503$	−28.2014	+	11.6814i	−1.25744	+	0.520849i	−0.348317	+	0.937377i	$0.613247\pi$
$504$	3.07601	+	2.12185i	0.137016	+	0.0945148i
$505$	−18.1226	−	7.50662i	−0.806445	−	0.334040i
$506$	16.1896	+	35.7164i	0.719717	+	1.58779i
$507$	−1.27594	+	22.4698i	−0.0566664	+	0.997918i
$508$	−9.92242	−	20.1048i	−0.440236	−	0.892007i
$509$	−2.34798	−	11.8041i	−0.104072	−	0.523207i	−0.997289	−	0.0735807i	$-0.976557\pi$
$509$	−2.34798	−	11.8041i	−0.104072	−	0.523207i	0.893217	−	0.449626i	$-0.148443\pi$
$510$	3.41930	−	7.72844i	0.151409	−	0.342221i
$511$			5.15606i			0.228091i
$512$	−19.9406	+	10.6946i	−0.881256	+	0.472639i
$513$	−24.4460	−	9.38400i	−1.07932	−	0.414314i
$514$	−19.2101	+	4.48234i	−0.847322	+	0.197708i
$515$	−21.6638	+	4.30921i	−0.954623	+	0.189886i
$516$	5.61338	−	29.6171i	0.247115	−	1.30382i
$517$	22.1816	+	33.1971i	0.975545	+	1.46001i
$518$	−1.78211	+	0.807798i	−0.0783012	+	0.0354926i
$519$	−10.5407	+	6.20897i	−0.462687	+	0.272543i
$520$	0.270120	−	0.221894i	0.0118455	−	0.00973070i
$521$	−1.37107	−	3.31006i	−0.0600678	−	0.145016i	0.890996	−	0.454011i	$-0.150007\pi$
$521$	−1.37107	−	3.31006i	−0.0600678	−	0.145016i	−0.951064	+	0.308995i	$0.900007\pi$
$522$	−7.33158	+	14.3173i	−0.320895	+	0.626649i
$523$	36.0739	+	7.17554i	1.57740	+	0.313765i	0.904667	−	0.426119i	$-0.140120\pi$
$523$	36.0739	+	7.17554i	1.57740	+	0.313765i	0.672735	+	0.739884i	$0.265120\pi$
$524$	−26.7276	+	20.5221i	−1.16760	+	0.896511i
$525$	0.634546	+	1.81706i	0.0276939	+	0.0793032i
$526$	−1.76172	+	10.6810i	−0.0768146	+	0.465713i
$527$	−9.18959	−	9.18959i	−0.400305	−	0.400305i
$528$	−7.15457	−	25.7360i	−0.311363	−	1.12002i
$529$	−20.3107	+	20.3107i	−0.883076	+	0.883076i
$530$	−9.49888	−	13.2513i	−0.412605	−	0.575599i
$531$	4.08299	−	12.7552i	0.177187	−	0.553529i
$532$	−3.84463	−	2.21809i	−0.166686	−	0.0961665i
$533$	−0.0220591	+	0.110898i	−0.000955485	+	0.00480355i
$534$	−5.60191	+	7.96597i	−0.242419	+	0.344721i
$535$	16.6266	−	6.88696i	0.718830	−	0.297749i
$536$	19.5325	−	23.8232i	0.843674	−	1.02900i
$537$	19.2406	−	11.3336i	0.830293	−	0.489079i
$538$	15.8448	−	42.1185i	0.683116	−	1.81586i
$539$	21.8186	−	14.5787i	0.939795	−	0.627951i
$540$	−15.6210	−	4.84512i	−0.672221	−	0.208501i
$541$	−5.37336	−	27.0137i	−0.231019	−	1.16141i	−0.905903	−	0.423486i	$-0.860806\pi$
$541$	−5.37336	−	27.0137i	−0.231019	−	1.16141i	0.674884	−	0.737924i	$-0.264194\pi$
$542$	7.34896	+	4.56828i	0.315665	+	0.196224i
$543$	−19.1658	+	25.4338i	−0.822483	+	1.09147i
$544$	−4.37745	−	11.6030i	−0.187681	−	0.497476i
$545$	14.1674			0.606867
$546$	−0.0790182	+	0.0305444i	−0.00338167	+	0.00130718i
$547$	9.75451	−	1.94029i	0.417073	−	0.0829610i	0.0179070	−	0.999840i	$-0.494300\pi$
$547$	9.75451	−	1.94029i	0.417073	−	0.0829610i	0.399166	+	0.916879i	$0.369300\pi$
$548$	34.8309	+	30.5266i	1.48790	+	1.30403i
$549$	23.2407	+	19.6748i	0.991891	+	0.839699i
$550$	4.84426	−	12.8770i	0.206560	−	0.549077i
$551$	7.31151	−	17.6515i	0.311481	−	0.751981i
$552$	28.4492	−	20.7850i	1.21088	−	0.884667i
$553$	−2.28930	−	5.52685i	−0.0973507	−	0.235025i
$554$	1.33092	+	40.4617i	0.0565454	+	1.71905i
$555$	6.38898	−	5.70238i	0.271197	−	0.242052i
$556$	−15.9871	+	4.28909i	−0.678004	+	0.181898i
$557$	14.4090	−	21.5645i	0.610527	−	0.913719i	−0.389446	−	0.921049i	$-0.627333\pi$
$557$	14.4090	−	21.5645i	0.610527	−	0.913719i	0.999973	+	0.00733055i	$0.00233341\pi$
$558$	−15.6108	+	19.7199i	−0.660857	+	0.834809i
$559$	0.483226	+	0.483226i	0.0204383	+	0.0204383i
$560$	−2.48718	−	1.22461i	−0.105103	−	0.0517491i
$561$	14.4975	−	2.03748i	0.612083	−	0.0860224i
$562$	−0.675336	+	4.09444i	−0.0284873	+	0.172713i
$563$	−9.91814	+	14.8435i	−0.418000	+	0.625581i	−0.979392	−	0.201969i	$-0.935266\pi$
$563$	−9.91814	+	14.8435i	−0.418000	+	0.625581i	0.561392	+	0.827550i	$0.310266\pi$
$564$	25.1352	−	25.5938i	1.05838	−	1.07769i
$565$	−0.385922	+	1.94016i	−0.0162358	+	0.0816231i
$566$	−5.72809	+	6.11774i	−0.240770	+	0.257148i
$567$	3.22677	+	2.30164i	0.135512	+	0.0966599i
$568$	−8.59234	−	28.2773i	−0.360527	−	1.18649i
$569$	2.48919	−	6.00945i	0.104352	−	0.251929i	−0.863076	−	0.505074i	$-0.831465\pi$
$569$	2.48919	−	6.00945i	0.104352	−	0.251929i	0.967428	+	0.253145i	$0.0814651\pi$
$570$	18.9574	+	4.24306i	0.794039	+	0.177722i
$571$	−3.48122	+	2.32607i	−0.145684	+	0.0973432i	−0.626276	−	0.779601i	$-0.715422\pi$
$571$	−3.48122	+	2.32607i	−0.145684	+	0.0973432i	0.480592	+	0.876944i	$0.340422\pi$
$572$	0.573496	+	0.194475i	0.0239791	+	0.00813143i
$573$	10.0788	+	4.86142i	0.421046	+	0.203089i
$574$	0.873261	−	0.203760i	0.0364492	−	0.00850478i
$575$	18.1469			0.756777
$576$	−21.3261	+	11.0090i	−0.888587	+	0.458708i
$577$	12.2780			0.511139			0.255570	−	0.966791i	$-0.417737\pi$
$577$	12.2780			0.511139			0.255570	+	0.966791i	$0.417737\pi$
$578$	−16.7938	+	3.91853i	−0.698530	+	0.162990i
$579$	23.7746	+	11.4675i	0.988037	+	0.476573i
$580$	3.83234	−	11.3013i	0.159129	−	0.469262i
$581$	1.99760	−	1.33476i	0.0828745	−	0.0553750i
$582$	−35.0840	−	7.85254i	−1.45428	−	0.325498i
$583$	10.8085	−	26.0940i	0.447643	−	1.08070i
$584$	−29.2120	−	15.5965i	−1.20880	−	0.645389i
$585$	0.290175	−	0.230815i	0.0119972	−	0.00954302i
$586$	11.9737	−	12.7882i	0.494630	−	0.528277i
$587$	−2.51402	+	12.6388i	−0.103765	+	0.521660i	0.893585	+	0.448895i	$0.148182\pi$
$587$	−2.51402	+	12.6388i	−0.103765	+	0.521660i	−0.997349	+	0.0727648i	$0.976818\pi$
$588$	−16.8214	−	16.5200i	−0.693702	−	0.681273i
$589$	16.5971	−	24.8393i	0.683872	−	1.02349i
$590$	−1.61698	+	9.80344i	−0.0665700	+	0.403601i
$591$	−0.335104	+	0.0470956i	−0.0137843	+	0.00193725i
$592$	0.814040	−	12.5401i	0.0334568	−	0.515397i
$593$	0.621807	+	0.621807i	0.0255346	+	0.0255346i	0.719759	−	0.694224i	$-0.244252\pi$
$593$	0.621807	+	0.621807i	0.0255346	+	0.0255346i	−0.694224	+	0.719759i	$0.744252\pi$
$594$	−7.15793	−	27.4132i	−0.293693	−	1.12478i
$595$	0.844141	−	1.26335i	0.0346064	−	0.0517921i
$596$	−0.687598	−	2.56294i	−0.0281651	−	0.104982i
$597$	−2.98896	+	2.66775i	−0.122330	+	0.109184i
$598$	0.0262593	+	0.798318i	0.00107382	+	0.0326456i
$599$	15.6275	+	37.7280i	0.638521	+	1.54153i	0.828650	+	0.559767i	$0.189109\pi$
$599$	15.6275	+	37.7280i	0.638521	+	1.54153i	−0.190129	+	0.981759i	$0.560891\pi$
$600$	−12.2141	−	1.90136i	−0.498640	−	0.0776225i
$601$	3.20792	−	7.74460i	0.130854	−	0.315909i	−0.844850	−	0.535003i	$-0.820310\pi$
$601$	3.20792	−	7.74460i	0.130854	−	0.315909i	0.975704	+	0.219095i	$0.0703103\pi$
$602$	1.90827	−	5.07257i	0.0777754	−	0.206742i
$603$	21.1125	−	24.9391i	0.859768	−	1.01560i
$604$	−14.6138	+	16.6743i	−0.594625	+	0.678468i
$605$	−5.96609	+	1.18673i	−0.242556	+	0.0482474i
$606$	−28.4773	+	11.0079i	−1.15681	+	0.447163i
$607$	−3.02090			−0.122614			−0.0613072	−	0.998119i	$-0.519527\pi$
$607$	−3.02090			−0.122614			−0.0613072	+	0.998119i	$0.519527\pi$
$608$	24.1963	−	15.0725i	0.981291	−	0.611271i
$609$	−1.74043	+	2.30962i	−0.0705257	+	0.0935907i
$610$	−19.1860	−	11.9264i	−0.776817	−	0.482887i
$611$	0.158655	+	0.797614i	0.00641851	+	0.0322680i
$612$	−4.44868	−	12.3784i	−0.179827	−	0.500369i
$613$	−24.5003	+	16.3706i	−0.989558	+	0.661202i	−0.941278	−	0.337632i	$-0.890374\pi$
$613$	−24.5003	+	16.3706i	−0.989558	+	0.661202i	−0.0482799	+	0.998834i	$0.515374\pi$
$614$	−8.49902	+	22.5921i	−0.342993	+	0.911742i
$615$	−3.38162	+	1.99193i	−0.136360	+	0.0803222i
$616$	−0.472975	−	4.77919i	−0.0190567	−	0.192559i
$617$	−24.7265	+	10.2420i	−0.995451	+	0.412329i	−0.820127	−	0.572182i	$-0.806097\pi$
$617$	−24.7265	+	10.2420i	−0.995451	+	0.412329i	−0.175324	+	0.984511i	$0.556097\pi$
$618$	−19.7760	+	28.1217i	−0.795509	+	1.13122i
$619$	−1.44783	+	7.27872i	−0.0581931	+	0.292556i	−0.998912	−	0.0466302i	$-0.985152\pi$
$619$	−1.44783	+	7.27872i	−0.0581931	+	0.292556i	0.940719	+	0.339187i	$0.110152\pi$
$620$	9.32450	−	16.1622i	0.374481	−	0.649089i
$621$	30.5182	−	21.5681i	1.22465	−	0.865496i
$622$	−22.5616	−	31.4743i	−0.904638	−	1.26200i
$623$	−1.23806	+	1.23806i	−0.0496018	+	0.0496018i
$624$	0.0659701	−	0.540077i	0.00264092	−	0.0216204i
$625$	4.25478	+	4.25478i	0.170191	+	0.170191i
$626$	−6.20659	+	37.6294i	−0.248065	+	1.50397i
$627$	11.0950	+	31.7712i	0.443092	+	1.26882i
$628$	6.15670	+	8.01837i	0.245679	+	0.319968i
$629$	6.75495	+	1.34364i	0.269338	+	0.0535746i
$630$	−2.61728	−	1.34026i	−0.104275	−	0.0533972i
$631$	−4.93304	−	11.9094i	−0.196381	−	0.474107i	0.794759	−	0.606925i	$-0.207597\pi$
$631$	−4.93304	−	11.9094i	−0.196381	−	0.474107i	−0.991140	+	0.132819i	$0.957597\pi$
$632$	38.2376	+	3.74795i	1.52101	+	0.149085i
$633$	5.85267	−	3.44748i	0.232623	−	0.137025i
$634$	−10.8970	+	4.93943i	−0.432776	+	0.196170i
$635$	9.80140	+	14.6688i	0.388957	+	0.582115i
$636$	−24.9326	−	4.72553i	−0.988642	−	0.187379i
$637$	0.524228	−	0.104275i	0.0207707	−	0.00413154i
$638$	20.1317	−	4.69738i	0.797023	−	0.185971i
$639$	−8.64030	−	30.1324i	−0.341805	−	1.19202i
$640$	14.4616	−	10.3870i	0.571643	−	0.410583i
$641$		−	13.3561i		−	0.527533i	−0.964587	−	0.263767i	$-0.915035\pi$
$641$		−	13.3561i		−	0.527533i	0.964587	−	0.263767i	$-0.0849649\pi$
$642$	11.3330	−	25.6154i	0.447279	−	1.01096i
$643$	1.34158	+	6.74460i	0.0529069	+	0.265981i	0.998180	−	0.0602979i	$-0.0192051\pi$
$643$	1.34158	+	6.74460i	0.0529069	+	0.265981i	−0.945273	+	0.326279i	$0.894205\pi$
$644$	5.68040	−	2.80347i	0.223839	−	0.110472i
$645$	−1.34478	+	23.6821i	−0.0529505	+	0.932480i
$646$	6.45022	+	14.2300i	0.253781	+	0.559873i
$647$	−6.10577	−	2.52909i	−0.240042	−	0.0994288i	0.259419	−	0.965765i	$-0.416469\pi$
$647$	−6.10577	−	2.52909i	−0.240042	−	0.0994288i	−0.499462	+	0.866336i	$0.666469\pi$
$648$	−22.8007	+	11.3193i	−0.895698	+	0.444663i
$649$	−15.9019	+	6.58680i	−0.624206	+	0.258555i
$650$	0.191534	−	0.204563i	0.00751260	−	0.00802364i
$651$	−3.37358	+	3.01103i	−0.132221	+	0.118012i
$652$	−14.0940	+	10.8217i	−0.551962	+	0.423810i
$653$	−12.1470	−	8.11635i	−0.475348	−	0.317617i	0.294715	−	0.955585i	$-0.404775\pi$
$653$	−12.1470	−	8.11635i	−0.475348	−	0.317617i	−0.770063	+	0.637968i	$0.779775\pi$
$654$	15.9596	−	15.2161i	0.624068	−	0.594997i
$655$	18.7497	−	18.7497i	0.732612	−	0.732612i
$656$	−1.48710	+	5.56388i	−0.0580616	+	0.217233i
$657$	−30.7198	−	17.0283i	−1.19849	−	0.664337i
$658$	5.24183	−	3.75749i	0.204348	−	0.146482i
$659$	−32.8618	−	21.9575i	−1.28011	−	0.855344i	−0.285437	−	0.958397i	$-0.592139\pi$
$659$	−32.8618	−	21.9575i	−1.28011	−	0.855344i	−0.994676	+	0.103053i	$0.967139\pi$
$660$	8.21896	+	19.3458i	0.319922	+	0.753036i
$661$	36.5523	+	7.27071i	1.42172	+	0.282798i	0.845272	−	0.534336i	$-0.179438\pi$
$661$	36.5523	+	7.27071i	1.42172	+	0.282798i	0.576448	+	0.817134i	$0.304438\pi$
$662$	−0.351143	−	10.6752i	−0.0136476	−	0.414904i
$663$	0.288699	+	0.0746629i	0.0112122	+	0.00289967i
$664$	1.51962	+	15.3551i	0.0589727	+	0.595892i
$665$	3.22681	+	1.33659i	0.125130	+	0.0518307i
$666$	1.07269	−	13.2856i	0.0415658	−	0.514806i
$667$	15.1487	+	22.6717i	0.586561	+	0.877850i
$668$	−0.714569	−	10.8502i	−0.0276475	−	0.419806i
$669$	−13.4792	−	6.50158i	−0.521134	−	0.251366i
$670$	−12.7980	+	20.5880i	−0.494428	+	0.795383i
$671$		−	39.1343i		−	1.51076i
$672$	−4.11705	+	1.29177i	−0.158819	+	0.0498311i
$673$			26.6300i			1.02651i	0.858236	+	0.513255i	$0.171561\pi$
$673$			26.6300i			1.02651i	−0.858236	+	0.513255i	$0.828439\pi$
$674$	−32.7408	−	20.3524i	−1.26113	−	0.783946i
$675$	−12.9217	−	2.22037i	−0.497357	−	0.0854622i
$676$	−19.5439	−	17.1287i	−0.751689	−	0.658798i
$677$	−9.37335	−	14.0282i	−0.360247	−	0.539148i	0.606433	−	0.795134i	$-0.292600\pi$
$677$	−9.37335	−	14.0282i	−0.360247	−	0.539148i	−0.966680	+	0.255987i	$0.917600\pi$
$678$	1.64903	+	2.60007i	0.0633306	+	0.0998550i
$679$	−5.97178	−	2.47359i	−0.229176	−	0.0949278i
$680$	4.60414	+	8.60402i	0.176561	+	0.329949i
$681$	−0.760858	+	2.94201i	−0.0291561	+	0.112738i
$682$	32.3060	−	1.06265i	1.23706	−	0.0406911i
$683$	26.3869	+	5.24869i	1.00967	+	0.200835i	0.672096	−	0.740464i	$-0.265394\pi$
$683$	26.3869	+	5.24869i	1.00967	+	0.200835i	0.337572	+	0.941300i	$0.390394\pi$
$684$	25.9126	−	15.5809i	0.990792	−	0.595749i
$685$	−30.3026	−	20.2475i	−1.15780	−	0.773619i
$686$	−5.00955	−	6.98851i	−0.191266	−	0.266823i
$687$	10.4872	−	1.47387i	0.400111	−	0.0562318i
$688$	22.9667	+	26.1554i	0.875596	+	0.997166i
$689$	0.406796	−	0.406796i	0.0154977	−	0.0154977i
$690$	−20.0660	+	19.1312i	−0.763898	+	0.728314i
$691$	25.9556	+	17.3430i	0.987398	+	0.659758i	0.940731	−	0.339153i	$-0.110140\pi$
$691$	25.9556	+	17.3430i	0.987398	+	0.659758i	0.0466662	+	0.998911i	$0.485140\pi$
$692$	1.83943	−	14.0058i	0.0699247	−	0.532419i
$693$	−0.421808	−	5.07636i	−0.0160232	−	0.192835i
$694$	31.1653	+	29.1803i	1.18302	+	1.10767i
$695$	12.0335	−	4.98442i	0.456455	−	0.189070i
$696$	−7.82073	−	16.8469i	−0.296444	−	0.638579i
$697$	−2.91614	−	1.20791i	−0.110457	−	0.0457527i
$698$	−32.9726	+	14.9459i	−1.24803	+	0.565712i
$699$	−4.04974	−	0.229963i	−0.153175	−	0.00869799i
$700$	−2.10470	−	0.713716i	−0.0795503	−	0.0269759i
$701$	−5.50494	−	27.6752i	−0.207919	−	1.04528i	−0.933892	−	0.357555i	$-0.883611\pi$
$701$	−5.50494	−	27.6752i	−0.207919	−	1.04528i	0.725974	−	0.687723i	$-0.241389\pi$
$702$	0.0789805	−	0.571665i	0.00298093	−	0.0215761i
$703$			15.8318i			0.597108i
$704$	28.5075	+	11.7769i	1.07442	+	0.443857i
$705$	−16.9877	+	22.5434i	−0.639795	+	0.849035i
$706$	10.2147	+	43.7773i	0.384434	+	1.64758i
$707$	−5.38364	+	1.07087i	−0.202473	+	0.0402743i
$708$	8.70757	+	12.7802i	0.327251	+	0.480309i
$709$	−11.9801	−	17.9295i	−0.449921	−	0.673355i	0.535296	−	0.844665i	$-0.320200\pi$
$709$	−11.9801	−	17.9295i	−0.449921	−	0.673355i	−0.985217	+	0.171310i	$0.945200\pi$
$710$	9.60109	+	21.1812i	0.360322	+	0.794918i
$711$	40.4895	+	4.61324i	1.51848	+	0.173010i
$712$	−3.26931	−	10.7593i	−0.122523	−	0.403222i
$713$	16.3156	+	39.3893i	0.611023	+	1.47514i
$714$	−0.405938	−	2.32978i	−0.0151919	−	0.0871897i
$715$	−0.467362	−	0.0929640i	−0.0174783	−	0.00347666i
$716$	−3.35762	+	25.5655i	−0.125480	+	0.955427i
$717$	−12.3748	+	4.32145i	−0.462144	+	0.161388i
$718$	16.8305	+	2.77602i	0.628110	+	0.103600i
$719$	13.4342	+	13.4342i	0.501012	+	0.501012i	0.911752	−	0.410740i	$-0.134730\pi$
$719$	13.4342	+	13.4342i	0.501012	+	0.501012i	−0.410740	+	0.911752i	$0.634730\pi$
$720$	15.5103	−	10.7743i	0.578036	−	0.401533i
$721$	−4.37063	+	4.37063i	−0.162771	+	0.162771i
$722$	−7.35061	+	5.26912i	−0.273561	+	0.196096i
$723$	10.9938	+	31.4816i	0.408865	+	1.17081i
$724$	−9.52875	−	35.5173i	−0.354133	−	1.31999i
$725$	1.86631	−	9.38259i	0.0693131	−	0.348461i
$726$	−5.44620	+	7.74454i	−0.202127	+	0.287427i
$727$	10.4697	−	4.33668i	0.388298	−	0.160838i	−0.179989	−	0.983669i	$-0.557606\pi$
$727$	10.4697	−	4.33668i	0.388298	−	0.160838i	0.568287	+	0.822830i	$0.307606\pi$
$728$	0.0283522	−	0.0936230i	0.00105080	−	0.00346990i
$729$	−24.3698	+	11.6237i	−0.902587	+	0.430508i
$730$	24.3890	+	9.17500i	0.902677	+	0.339582i
$731$	−15.8619	+	10.5986i	−0.586672	+	0.392002i
$732$	−34.4221	+	7.17104i	−1.27228	+	0.265049i
$733$	4.16866	+	20.9573i	0.153973	+	0.774074i	0.978176	+	0.207779i	$0.0666236\pi$
$733$	4.16866	+	20.9573i	0.153973	+	0.774074i	−0.824203	+	0.566295i	$0.808376\pi$
$734$	9.56318	−	15.3842i	0.352984	−	0.567842i
$735$	14.8166	+	11.1651i	0.546517	+	0.411831i
$736$	−1.29931	+	40.6629i	−0.0478932	+	1.49885i
$737$	−41.9940			−1.54687
$738$	−1.67001	+	5.87582i	−0.0614740	+	0.216292i
$739$	9.17733	−	1.82548i	0.337594	−	0.0671516i	−0.0233825	−	0.999727i	$-0.507444\pi$
$739$	9.17733	−	1.82548i	0.337594	−	0.0671516i	0.360976	+	0.932575i	$0.382444\pi$
$740$	0.649825	+	9.86708i	0.0238880	+	0.362721i
$741$	−0.0388614	+	0.684364i	−0.00142761	+	0.0251408i
$742$	−4.27025	−	1.60645i	−0.156766	−	0.0589745i
$743$	−8.23030	+	19.8697i	−0.301940	+	0.728948i	0.697977	+	0.716120i	$0.254084\pi$
$743$	−8.23030	+	19.8697i	−0.301940	+	0.728948i	−0.999918	+	0.0128286i	$0.995916\pi$
$744$	−6.85451	−	28.2213i	−0.251298	−	1.03464i
$745$	0.799069	+	1.92912i	0.0292756	+	0.0706776i
$746$	18.9316	−	0.622724i	0.693136	−	0.0227995i
$747$	1.35523	+	16.3098i	0.0495852	+	0.596746i
$748$	−8.44778	+	14.6426i	−0.308882	+	0.535385i
$749$	2.79785	−	4.18727i	0.102231	−	0.153000i
$750$	28.9934	+	0.691399i	1.05869	+	0.0252463i
$751$	−36.2754	−	36.2754i	−1.32371	−	1.32371i	−0.910751	−	0.412956i	$-0.864496\pi$
$751$	−36.2754	−	36.2754i	−1.32371	−	1.32371i	−0.412956	−	0.910751i	$-0.635504\pi$
$752$	5.43233	+	41.0640i	0.198097	+	1.49745i
$753$	0.981242	+	6.98193i	0.0357585	+	0.254436i
$754$	0.415460	+	0.0685259i	0.0151302	+	0.00249557i
$755$	9.69294	−	14.5065i	0.352762	−	0.527946i
$756$	−4.38782	+	1.30122i	−0.159583	+	0.0473249i
$757$	2.23573	−	11.2398i	0.0812589	−	0.408516i	−0.918651	−	0.395071i	$-0.870720\pi$
$757$	2.23573	−	11.2398i	0.0812589	−	0.408516i	0.999910	−	0.0134454i	$-0.00427994\pi$
$758$	−5.77869	−	5.41064i	−0.209891	−	0.196523i
$759$	−46.4978	−	12.0252i	−1.68776	−	0.436486i
$760$	−17.3333	+	14.2387i	−0.628744	+	0.516491i
$761$	−4.37747	+	10.5681i	−0.158683	+	0.383095i	−0.983146	−	0.182821i	$-0.941477\pi$
$761$	−4.37747	+	10.5681i	−0.158683	+	0.383095i	0.824463	+	0.565916i	$0.191477\pi$
$762$	26.7958	+	5.99747i	0.970711	+	0.217265i
$763$	3.29636	−	2.20256i	0.119336	−	0.0797380i
$764$	−11.5867	+	5.71846i	−0.419193	+	0.206886i
$765$	4.73917	+	9.20168i	0.171345	+	0.332688i
$766$	−3.84833	−	16.4929i	−0.139046	−	0.595914i
$767$	−0.350590			−0.0126591
$768$	5.13502	−	27.2329i	0.185294	−	0.982683i
$769$	−15.7777			−0.568960			−0.284480	−	0.958682i	$-0.591821\pi$
$769$	−15.7777			−0.568960			−0.284480	+	0.958682i	$0.591821\pi$
$770$	0.858710	+	3.68020i	0.0309458	+	0.132625i
$771$	10.4960	−	21.7604i	0.378003	−	0.783681i
$772$	−27.3317	+	13.4891i	−0.983689	+	0.485484i
$773$	−40.9878	+	27.3872i	−1.47423	+	0.985049i	−0.480059	+	0.877236i	$0.659385\pi$
$773$	−40.9878	+	27.3872i	−1.47423	+	0.985049i	−0.994171	+	0.107813i	$0.965615\pi$
$774$	23.9201	+	28.1220i	0.859791	+	1.01083i
$775$	5.72420	−	13.8194i	0.205619	−	0.496409i
$776$	32.0783	−	26.3512i	1.15154	−	0.945953i
$777$	0.600008	−	2.32005i	0.0215252	−	0.0832314i
$778$	18.9244	+	17.7191i	0.678474	+	0.635261i
$779$	1.41551	−	7.11623i	0.0507158	−	0.254965i
$780$	0.00386997	+	0.428121i	0.000138567	+	0.0153292i
$781$	−22.3818	+	33.4967i	−0.800884	+	1.19861i
$782$	−22.0001	−	3.62869i	−0.786721	−	0.129762i
$783$	−8.01283	−	17.9972i	−0.286355	−	0.643167i
$784$	26.9891	−	3.57037i	0.963896	−	0.127513i
$785$	−5.62499	−	5.62499i	−0.200764	−	0.200764i
$786$	0.983894	−	41.2590i	0.0350944	−	1.47166i
$787$	−21.7155	+	32.4996i	−0.774074	+	1.15848i	0.209470	+	0.977815i	$0.432826\pi$
$787$	−21.7155	+	32.4996i	−0.774074	+	1.15848i	−0.983544	+	0.180669i	$0.942174\pi$
$788$	0.195268	−	0.338458i	0.00695612	−	0.0120571i
$789$	−8.82840	−	9.89140i	−0.314299	−	0.352143i
$790$	−30.2166	+	0.993922i	−1.07506	+	0.0353622i
$791$	0.211836	+	0.511418i	0.00753203	+	0.0181839i
$792$	30.0364	+	12.9657i	1.06730	+	0.460715i
$793$	0.305044	−	0.736442i	0.0108324	−	0.0261518i
$794$	−15.9481	−	5.99958i	−0.565976	−	0.212917i
$795$	19.9363	+	1.13208i	0.707068	+	0.0401506i
$796$	−0.304008	−	4.61613i	−0.0107753	−	0.163614i
$797$	28.5633	−	5.68159i	1.01176	−	0.201252i	0.338746	−	0.940878i	$-0.389997\pi$
$797$	28.5633	−	5.68159i	1.01176	−	0.201252i	0.673019	+	0.739626i	$0.264997\pi$
$798$	5.07051	−	1.96000i	0.179494	−	0.0693832i
$799$	−22.7018			−0.803133
$800$	10.4101	−	9.76543i	0.368053	−	0.345260i
$801$	−3.28756	−	11.4651i	−0.116160	−	0.405100i
$802$	0.255059	−	0.410311i	0.00900643	−	0.0144886i
$803$	8.80642	+	44.2728i	0.310772	+	1.56235i
$804$	7.69506	+	36.9375i	0.271384	+	1.30269i
$805$	−4.14452	+	2.76928i	−0.146075	+	0.0976043i
$806$	0.616228	+	0.231822i	0.0217057	+	0.00816557i
$807$	27.9724	+	47.4877i	0.984674	+	1.67165i
$808$	10.2178	−	33.7407i	0.359462	−	1.18699i
$809$	−4.14938	+	1.71873i	−0.145884	+	0.0604273i	−0.454431	−	0.890782i	$-0.650157\pi$
$809$	−4.14938	+	1.71873i	−0.145884	+	0.0604273i	0.308547	+	0.951209i	$0.400157\pi$
$810$	16.6290	−	11.1675i	0.584285	−	0.392384i
$811$	6.46601	−	32.5068i	0.227052	−	1.14147i	−0.684096	−	0.729392i	$-0.739803\pi$
$811$	6.46601	−	32.5068i	0.227052	−	1.14147i	0.911149	−	0.412078i	$-0.135197\pi$
$812$	−0.865298	−	3.22530i	−0.0303660	−	0.113186i
$813$	−10.0053	+	3.49401i	−0.350902	+	0.122540i
$814$	−13.9225	+	9.97999i	−0.487982	+	0.349799i
$815$	9.88709	−	9.88709i	0.346330	−	0.346330i
$816$	14.4274	+	4.74745i	0.505061	+	0.166194i
$817$	−31.0081	−	31.0081i	−1.08484	−	1.08484i
$818$	25.6144	+	4.22483i	0.895586	+	0.147718i
$819$	0.0316315	−	0.0988165i	0.00110529	−	0.00345293i
$820$	0.590116	−	4.49325i	0.0206078	−	0.156911i
$821$	−52.4380	−	10.4306i	−1.83010	−	0.364029i	−0.844829	−	0.535037i	$-0.820298\pi$
$821$	−52.4380	−	10.4306i	−1.83010	−	0.364029i	−0.985270	+	0.171008i	$0.945298\pi$
$822$	−55.8820	+	9.73682i	−1.94911	+	0.339611i
$823$	−13.6393	−	32.9283i	−0.475437	−	1.14781i	−0.961727	−	0.274009i	$-0.911650\pi$
$823$	−13.6393	−	32.9283i	−0.475437	−	1.14781i	0.486290	−	0.873798i	$-0.338350\pi$
$824$	−11.5414	−	37.9828i	−0.402065	−	1.32319i
$825$	8.55207	+	14.5186i	0.297745	+	0.505471i
$826$	1.14788	+	2.53237i	0.0399398	+	0.0881124i
$827$	−4.94686	−	7.40349i	−0.172019	−	0.257445i	0.735436	−	0.677595i	$-0.236978\pi$
$827$	−4.94686	−	7.40349i	−0.172019	−	0.257445i	−0.907455	+	0.420150i	$0.861978\pi$
$828$	−2.05688	+	43.1025i	−0.0714815	+	1.49791i
$829$	4.20862	−	0.837147i	0.146172	−	0.0290753i	−0.121462	−	0.992596i	$-0.538758\pi$
$829$	4.20862	−	0.837147i	0.146172	−	0.0290753i	0.267634	+	0.963521i	$0.413758\pi$
$830$	−2.75895	−	11.8241i	−0.0957645	−	0.410421i
$831$	−39.5980	−	29.8393i	−1.37364	−	1.03511i
$832$	0.444665	+	0.443831i	0.0154160	+	0.0153871i
$833$			14.9207i			0.516970i
$834$	8.20226	−	18.5391i	0.284021	−	0.641956i
$835$	1.66926	+	8.39196i	0.0577673	+	0.290416i
$836$	−36.8006	−	12.4793i	−1.27277	−	0.431605i
$837$	−6.79821	−	30.0440i	−0.234980	−	1.03847i
$838$	−2.16282	+	0.980368i	−0.0747133	+	0.0338663i
$839$	−27.9738	−	11.5871i	−0.965762	−	0.400032i	−0.156629	−	0.987657i	$-0.550063\pi$
$839$	−27.9738	−	11.5871i	−0.965762	−	0.400032i	−0.809133	+	0.587626i	$0.800063\pi$
$840$	3.07971	−	1.42968i	0.106260	−	0.0493286i
$841$	−13.5125	+	5.59704i	−0.465947	+	0.193001i
$842$	−22.4111	−	20.9837i	−0.772339	−	0.723147i
$843$	−3.38427	−	3.79176i	−0.116561	−	0.130595i
$844$	−1.02133	+	7.77660i	−0.0351557	+	0.267682i
$845$	17.0030	+	11.3611i	0.584922	+	0.390833i
$846$	5.07552	+	43.6402i	0.174500	+	1.50038i
$847$	−1.20364	+	1.20364i	−0.0413577	+	0.0413577i
$848$	22.0185	−	19.3341i	0.756117	−	0.663935i
$849$	−1.42851	−	10.1644i	−0.0490265	−	0.348843i
$850$	4.55763	+	6.35806i	0.156325	+	0.218080i
$851$	−18.7865	−	12.5528i	−0.643994	−	0.430303i
$852$	33.5646	+	13.5488i	1.14991	+	0.464174i
$853$	23.2608	+	4.62685i	0.796433	+	0.158420i	0.576503	−	0.817095i	$-0.304417\pi$
$853$	23.2608	+	4.62685i	0.796433	+	0.158420i	0.219930	+	0.975516i	$0.429417\pi$
$854$	−6.31819	+	0.207826i	−0.216204	+	0.00711166i
$855$	−18.6202	+	14.8111i	−0.636797	+	0.506530i
$856$	15.2601	+	28.5174i	0.521580	+	0.974706i
$857$	22.1000	+	9.15412i	0.754921	+	0.312699i	0.726748	−	0.686904i	$-0.241031\pi$
$857$	22.1000	+	9.15412i	0.754921	+	0.312699i	0.0281736	+	0.999603i	$0.491031\pi$
$858$	−0.626326	+	0.397232i	−0.0213824	+	0.0135613i
$859$	11.6879	+	17.4921i	0.398785	+	0.596824i	0.975467	−	0.220145i	$-0.0706530\pi$
$859$	11.6879	+	17.4921i	0.398785	+	0.596824i	−0.576682	+	0.816968i	$0.695653\pi$
$860$	−20.5983	−	18.0529i	−0.702398	−	0.615597i
$861$	−0.477130	+	0.989193i	−0.0162606	+	0.0337116i
$862$	17.1928	+	10.6874i	0.585589	+	0.364016i
$863$		−	5.07229i		−	0.172663i	−0.996266	−	0.0863314i	$-0.972486\pi$
$863$		−	5.07229i		−	0.172663i	0.996266	−	0.0863314i	$-0.0275144\pi$
$864$	5.90053	−	28.7956i	0.200740	−	0.979645i
$865$			11.1156i			0.377942i
$866$	−7.49873	+	12.0632i	−0.254817	+	0.409923i
$867$	9.17575	−	19.0233i	0.311625	−	0.646064i
$868$	−0.343128	−	5.21013i	−0.0116465	−	0.176843i
$869$	−29.0969	−	43.5466i	−0.987044	−	1.47722i
$870$	7.82786	+	12.3424i	0.265389	+	0.418446i
$871$	−0.790257	−	0.327335i	−0.0267768	−	0.0110913i
$872$	2.50762	+	25.3383i	0.0849186	+	0.858062i
$873$	34.4599	−	27.4106i	1.16629	−	0.927709i
$874$	−1.68503	−	51.2271i	−0.0569970	−	1.73278i
$875$	5.11401	+	1.01724i	0.172885	+	0.0343890i
$876$	37.3282	−	15.8587i	1.26120	−	0.535814i
$877$	−4.77509	−	3.19061i	−0.161243	−	0.107739i	0.472331	−	0.881421i	$-0.343413\pi$
$877$	−4.77509	−	3.19061i	−0.161243	−	0.107739i	−0.633574	+	0.773682i	$0.718413\pi$
$878$	45.8075	−	32.8361i	1.54593	−	1.10816i
$879$	2.98610	+	21.2473i	0.100719	+	0.716653i
$880$	−23.4480	−	6.26713i	−0.790430	−	0.211265i
$881$	−32.0431	+	32.0431i	−1.07956	+	1.07956i	−0.0830093	+	0.996549i	$0.526453\pi$
$881$	−32.0431	+	32.0431i	−1.07956	+	1.07956i	−0.996549	+	0.0830093i	$0.973547\pi$
$882$	28.6823	−	3.33586i	0.965784	−	0.112324i
$883$	5.31281	+	3.54991i	0.178790	+	0.119464i	0.641745	−	0.766918i	$-0.278211\pi$
$883$	5.31281	+	3.54991i	0.178790	+	0.119464i	−0.462955	+	0.886382i	$0.653211\pi$
$884$	−0.273109	+	0.209700i	−0.00918565	+	0.00705296i
$885$	−8.10307	−	9.07874i	−0.272382	−	0.305178i
$886$	−30.6340	+	32.7178i	−1.02917	+	1.09918i
$887$	17.0759	−	7.07308i	0.573353	−	0.237491i	−0.0771175	−	0.997022i	$-0.524572\pi$
$887$	17.0759	−	7.07308i	0.573353	−	0.237491i	0.650471	+	0.759531i	$0.274572\pi$
$888$	11.3295	+	10.4173i	0.380192	+	0.349581i
$889$	4.56102	+	1.88923i	0.152972	+	0.0633629i
$890$	3.65313	+	8.05928i	0.122453	+	0.270148i
$891$	31.6380	+	14.2520i	1.05991	+	0.477459i
$892$	15.4959	−	7.64776i	0.518841	−	0.256066i
$893$	−10.1807	−	51.1820i	−0.340685	−	1.71274i
$894$	2.97206	+	1.31493i	0.0994006	+	0.0439779i
$895$		−	20.2899i		−	0.678217i
$896$	1.74997	−	4.66505i	0.0584623	−	0.155848i
$897$	−0.781276	−	0.588735i	−0.0260861	−	0.0196573i
$898$	−31.9138	+	7.44652i	−1.06498	+	0.248493i
$899$	22.0437	−	4.38476i	0.735198	−	0.146240i
$900$	11.2033	−	10.1827i	0.373442	−	0.339424i
$901$	8.92221	+	13.3530i	0.297242	+	0.444854i
$902$	7.15030	−	3.24111i	0.238079	−	0.107917i
$903$	3.36887	+	5.71921i	0.112109	+	0.190323i
$904$	−3.53826	−	0.346810i	−0.117681	−	0.0115347i
$905$	11.0735	+	26.7338i	0.368096	+	0.888662i
$906$	−4.66123	−	26.7519i	−0.154859	−	0.888773i
$907$	−50.8477	−	10.1142i	−1.68837	−	0.335838i	−0.744870	−	0.667210i	$-0.767488\pi$
$907$	−50.8477	−	10.1142i	−1.68837	−	0.335838i	−0.943500	+	0.331372i	$0.892488\pi$
$908$	−2.13696	−	2.78314i	−0.0709175	−	0.0923617i
$909$	11.3996	−	35.6124i	0.378102	−	1.18119i
$910$	−0.0125270	+	0.0759487i	−0.000415265	+	0.00251767i
$911$	8.74875	+	8.74875i	0.289859	+	0.289859i	0.837025	−	0.547165i	$-0.184293\pi$
$911$	8.74875	+	8.74875i	0.289859	+	0.289859i	−0.547165	+	0.837025i	$0.684293\pi$
$912$	−4.23323	+	34.6561i	−0.140176	+	1.14758i
$913$	14.8728	−	14.8728i	0.492218	−	0.492218i
$914$	−18.0936	−	25.2413i	−0.598484	−	0.834908i
$915$	26.1209	−	9.12183i	0.863532	−	0.301558i
$916$	−6.11097	+	10.5922i	−0.201912	+	0.349975i
$917$	1.44758	−	7.27748i	0.0478033	−	0.240324i
$918$	15.2214	+	5.27569i	0.502382	+	0.174124i
$919$	−1.98451	+	0.822009i	−0.0654628	+	0.0271156i	−0.415175	−	0.909742i	$-0.636280\pi$
$919$	−1.98451	+	0.822009i	−0.0654628	+	0.0271156i	0.349712	+	0.936857i	$0.386280\pi$
$920$	−3.15283	−	31.8578i	−0.103946	−	1.05032i
$921$	−15.0042	−	25.4721i	−0.494405	−	0.839334i
$922$	−10.1237	+	26.9109i	−0.333407	+	0.886262i
$923$	−0.682288	+	0.455890i	−0.0224578	+	0.0150058i
$924$	4.91994	+	3.22346i	0.161854	+	0.106044i
$925$	1.54649	+	7.77475i	0.0508484	+	0.255632i
$926$	48.0019	+	29.8391i	1.57744	+	0.980573i
$927$	−11.6058	−	40.4745i	−0.381186	−	1.32936i
$928$	20.8906	+	4.85376i	0.685767	+	0.159333i
$929$	44.1946			1.44998			0.724988	−	0.688761i	$-0.241845\pi$
$929$	44.1946			1.44998			0.724988	+	0.688761i	$0.241845\pi$
$930$	8.23951	+	21.3156i	0.270184	+	0.698966i
$931$	−33.6391	+	6.69123i	−1.10248	+	0.219296i
$932$	3.08712	−	3.52241i	0.101122	−	0.115380i
$933$	47.3525	+	2.68889i	1.55025	+	0.0880303i
$934$	−2.66260	+	7.07773i	−0.0871231	+	0.231590i
$935$	5.09051	−	12.2896i	0.166477	−	0.401912i
$936$	0.464170	+	0.478120i	0.0151719	+	0.0156278i
$937$	−13.0181	−	31.4286i	−0.425284	−	1.02673i	−0.980764	−	0.195197i	$-0.937465\pi$
$937$	−13.0181	−	31.4286i	−0.425284	−	1.02673i	0.555480	−	0.831530i	$-0.312535\pi$
$938$	0.223013	+	6.77989i	0.00728163	+	0.221371i
$939$	−31.1027	−	34.8477i	−1.01500	−	1.13721i
$940$	−8.44587	−	31.4810i	−0.275474	−	1.02680i
$941$	−12.5037	+	18.7132i	−0.407610	+	0.610032i	−0.977308	−	0.211822i	$-0.932060\pi$
$941$	−12.5037	+	18.7132i	−0.407610	+	0.610032i	0.569698	+	0.821854i	$0.307060\pi$
$942$	−12.3779	−	0.295172i	−0.403293	−	0.00961723i
$943$	7.32202	+	7.32202i	0.238438	+	0.238438i
$944$	−17.8195	−	1.15675i	−0.579976	−	0.0376490i
$945$	3.29000	−	1.46479i	0.107024	−	0.0476498i
$946$	7.72169	−	46.8152i	0.251054	−	1.52209i
$947$	3.23352	−	4.83931i	0.105075	−	0.157256i	−0.775206	−	0.631709i	$-0.782354\pi$
$947$	3.23352	−	4.83931i	0.105075	−	0.157256i	0.880281	+	0.474452i	$0.157354\pi$
$948$	−32.9713	+	33.5728i	−1.07086	+	1.09040i
$949$	−0.179376	+	0.901784i	−0.00582279	+	0.0292732i
$950$	−12.2906	+	13.1266i	−0.398758	+	0.425883i
$951$	3.66886	−	14.1864i	0.118971	−	0.460026i
$952$	2.40889	+	1.28612i	0.0780725	+	0.0416835i
$953$	14.3371	−	34.6127i	0.464423	−	1.12122i	−0.502140	−	0.864786i	$-0.667454\pi$
$953$	14.3371	−	34.6127i	0.464423	−	1.12122i	0.966563	−	0.256430i	$-0.0825462\pi$
$954$	23.6740	−	20.1367i	0.766475	−	0.651950i
$955$	8.45389	−	5.64871i	0.273562	−	0.182788i
$956$	4.86062	−	14.3337i	0.157204	−	0.463584i
$957$	−10.9995	+	22.8043i	−0.355564	+	0.737160i
$958$	−21.9970	+	5.13261i	−0.710691	+	0.165827i
$959$	−10.1984			−0.329322
$960$	−1.21586	+	21.7730i	−0.0392416	+	0.702719i
$961$	4.14279			0.133639
$962$	−0.339789	+	0.0792838i	−0.0109552	+	0.00255621i
$963$	15.7076	+	30.4984i	0.506172	+	0.982796i
$964$	−36.4651	−	12.3655i	−1.17446	−	0.398266i
$965$	19.9417	−	13.3246i	0.641946	−	0.428934i
$966$	−1.69452	+	7.57088i	−0.0545203	+	0.243589i
$967$	−7.74534	+	18.6989i	−0.249073	+	0.601316i	−0.998126	−	0.0611943i	$-0.980509\pi$
$967$	−7.74534	+	18.6989i	−0.249073	+	0.601316i	0.749053	+	0.662511i	$0.230509\pi$
$968$	−3.17844	−	10.4602i	−0.102159	−	0.336204i
$969$	−18.5255	−	4.79103i	−0.595125	−	0.153910i
$970$	−22.3270	+	23.8458i	−0.716878	+	0.765643i
$971$	−3.41390	+	17.1628i	−0.109557	+	0.550782i	0.886550	+	0.462633i	$0.153095\pi$
$971$	−3.41390	+	17.1628i	−0.109557	+	0.550782i	−0.996107	+	0.0881491i	$0.971905\pi$
$972$	6.73846	−	30.4400i	0.216136	−	0.976363i
$973$	2.02494	−	3.03053i	0.0649164	−	0.0971543i
$974$	4.86887	−	29.5190i	0.156009	−	0.945851i
$975$	0.0477663	+	0.339876i	0.00152975	+	0.0108848i
$976$	17.9344	−	36.4248i	0.574066	−	1.16593i
$977$	35.2475	+	35.2475i	1.12767	+	1.12767i	0.990556	+	0.137110i	$0.0437814\pi$
$977$	35.2475	+	35.2475i	1.12767	+	1.12767i	0.137110	+	0.990556i	$0.456219\pi$
$978$	0.518827	−	21.7567i	0.0165902	−	0.695702i
$979$	−8.51609	+	12.7452i	−0.272176	+	0.407339i
$980$	−20.6907	+	5.55100i	−0.660941	+	0.177320i
$981$	2.23634	+	26.9138i	0.0714009	+	0.859293i
$982$	−1.70425	−	51.8113i	−0.0543847	−	1.65337i
$983$	19.8208	+	47.8517i	0.632186	+	1.52623i	0.836869	+	0.547404i	$0.184384\pi$
$983$	19.8208	+	47.8517i	0.632186	+	1.52623i	−0.204682	+	0.978828i	$0.565616\pi$
$984$	−4.16107	−	5.69542i	−0.132650	−	0.181563i
$985$	−0.117665	+	0.284069i	−0.00374913	+	0.00905120i
$986$	−4.13876	+	11.0016i	−0.131805	+	0.350364i
$987$	−0.447817	+	7.88624i	−0.0142542	+	0.251022i
$988$	−0.595251	−	0.521692i	−0.0189375	−	0.0165972i
$989$	61.3810	−	12.2094i	1.95180	−	0.388237i
$990$	−24.7626	−	7.03797i	−0.787007	−	0.223681i
$991$	1.84659			0.0586589			0.0293294	−	0.999570i	$-0.490663\pi$
$991$	1.84659			0.0586589			0.0293294	+	0.999570i	$0.490663\pi$
$992$	30.5563	+	13.8161i	0.970163	+	0.438660i
$993$	10.4473	+	7.87264i	0.331536	+	0.249831i
$994$	5.52687	+	3.43563i	0.175302	+	0.108972i
$995$	0.710176	+	3.57030i	0.0225141	+	0.113186i
$996$	−15.8073	−	10.3566i	−0.500873	−	0.328163i
$997$	−19.5450	+	13.0596i	−0.618997	+	0.413601i	−0.825146	−	0.564920i	$-0.808907\pi$
$997$	−19.5450	+	13.0596i	−0.618997	+	0.413601i	0.206148	+	0.978521i	$0.433907\pi$
$998$	−6.54993	+	17.4110i	−0.207335	+	0.551136i
$999$	11.8413	+	11.2370i	0.374642	+	0.355523i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.11.12	✓	240
3.2	odd	2	inner	192.2.s.a.11.19	yes	240
4.3	odd	2		768.2.s.a.719.5		240
12.11	even	2		768.2.s.a.719.22		240
64.29	even	16		768.2.s.a.47.22		240
64.35	odd	16	inner	192.2.s.a.35.19	yes	240
192.29	odd	16		768.2.s.a.47.5		240
192.35	even	16	inner	192.2.s.a.35.12	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.11.12	✓	240	1.1	even	1	trivial
192.2.s.a.11.19	yes	240	3.2	odd	2	inner
192.2.s.a.35.12	yes	240	192.35	even	16	inner
192.2.s.a.35.19	yes	240	64.35	odd	16	inner
768.2.s.a.47.5		240	192.29	odd	16
768.2.s.a.47.22		240	64.29	even	16
768.2.s.a.719.5		240	4.3	odd	2
768.2.s.a.719.22		240	12.11	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.321350 - 1.37722i) q^{2} +(1.56005 + 0.752482i) q^{3} +(-1.79347 + 0.885139i) q^{4} +(1.30855 - 0.874343i) q^{5} +(0.535010 - 2.39035i) q^{6} +(0.168531 - 0.406870i) q^{7} +(1.79536 + 2.18556i) q^{8} +(1.86754 + 2.34783i) q^{9} +O(q^{10})\)	\(q+(-0.321350 - 1.37722i) q^{2} +(1.56005 + 0.752482i) q^{3} +(-1.79347 + 0.885139i) q^{4} +(1.30855 - 0.874343i) q^{5} +(0.535010 - 2.39035i) q^{6} +(0.168531 - 0.406870i) q^{7} +(1.79536 + 2.18556i) q^{8} +(1.86754 + 2.34783i) q^{9} +(-1.62466 - 1.52119i) q^{10} +(0.752179 - 3.78146i) q^{11} +(-3.46396 + 0.0313123i) q^{12} +(0.0436304 - 0.0652976i) q^{13} +(-0.614507 - 0.101357i) q^{14} +(2.69933 - 0.379365i) q^{15} +(2.43306 - 3.17494i) q^{16} +(1.55016 + 1.55016i) q^{17} +(2.63334 - 3.32649i) q^{18} +(-2.79972 + 4.19007i) q^{19} +(-1.57292 + 2.72635i) q^{20} +(0.569080 - 0.507923i) q^{21} +(-5.44961 + 0.179256i) q^{22} +(-2.75223 - 6.64447i) q^{23} +(1.15627 + 4.76057i) q^{24} +(-0.965598 + 2.33116i) q^{25} +(-0.103950 - 0.0391053i) q^{26} +(1.14677 + 5.06803i) q^{27} +(0.0578812 + 0.878881i) q^{28} +(-3.71849 + 0.739653i) q^{29} +(-1.38990 - 3.59566i) q^{30} -5.92814 q^{31} +(-5.15445 - 2.33059i) q^{32} +(4.01892 - 5.33328i) q^{33} +(1.63677 - 2.63306i) q^{34} +(-0.135213 - 0.679762i) q^{35} +(-5.42753 - 2.55772i) q^{36} +(2.61217 - 1.74540i) q^{37} +(6.67034 + 2.50935i) q^{38} +(0.117201 - 0.0690367i) q^{39} +(4.26024 + 1.29015i) q^{40} +(-1.33020 + 0.550986i) q^{41} +(-0.882395 - 0.620527i) q^{42} +(-1.69766 + 8.53471i) q^{43} +(1.99811 + 7.44771i) q^{44} +(4.49657 + 1.43937i) q^{45} +(-8.26646 + 5.92562i) q^{46} +(-7.32240 + 7.32240i) q^{47} +(6.18479 - 3.12224i) q^{48} +(4.81261 + 4.81261i) q^{49} +(3.52081 + 0.580723i) q^{50} +(1.25187 + 3.58481i) q^{51} +(-0.0204524 + 0.155728i) q^{52} +(7.18480 + 1.42914i) q^{53} +(6.61128 - 3.20797i) q^{54} +(-2.32203 - 5.60588i) q^{55} +(1.19181 - 0.362144i) q^{56} +(-7.52067 + 4.43001i) q^{57} +(2.21360 + 4.88348i) q^{58} +(-2.48021 - 3.71190i) q^{59} +(-4.50538 + 3.06966i) q^{60} +(9.95511 - 1.98020i) q^{61} +(1.90501 + 8.16435i) q^{62} +(1.27000 - 0.364165i) q^{63} +(-1.55335 + 7.84774i) q^{64} -0.123593i q^{65} +(-8.63658 - 3.82109i) q^{66} +(-2.12490 - 10.6826i) q^{67} +(-4.15228 - 1.40806i) q^{68} +(0.706215 - 12.4367i) q^{69} +(-0.892731 + 0.404660i) q^{70} +(-9.65353 - 3.99862i) q^{71} +(-1.77840 + 8.29682i) q^{72} +(-10.8167 + 4.48041i) q^{73} +(-3.24322 - 3.03665i) q^{74} +(-3.26054 + 2.91014i) q^{75} +(1.31241 - 9.99290i) q^{76} +(-1.41180 - 0.943332i) q^{77} +(-0.132741 - 0.139227i) q^{78} +(9.60521 - 9.60521i) q^{79} +(0.407787 - 6.28188i) q^{80} +(-2.02458 + 8.76933i) q^{81} +(1.18629 + 1.65492i) q^{82} +(4.53596 + 3.03083i) q^{83} +(-0.571045 + 1.41466i) q^{84} +(3.38384 + 0.673087i) q^{85} +(12.2997 - 0.404578i) q^{86} +(-6.35762 - 1.64419i) q^{87} +(9.61504 - 5.14515i) q^{88} +(-3.67309 - 1.52144i) q^{89} +(0.537354 - 6.65531i) q^{90} +(-0.0192145 - 0.0287566i) q^{91} +(10.8173 + 9.48054i) q^{92} +(-9.24822 - 4.46082i) q^{93} +(12.4376 + 7.73150i) q^{94} +7.93082i q^{95} +(-6.28750 - 7.51448i) q^{96} -14.6774i q^{97} +(5.08149 - 8.17455i) q^{98} +(10.2829 - 5.29605i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

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